Uma equipe da Escola de Fasica e Astronomia da Universidade de Glasgow desenvolveu um algoritmo qua¢ntico para reduzir drasticamente o tempo necessa¡rio para combinar sinais de ondas gravitacionais com um vasto banco de dados de modelos.
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qsRbahgQqylNNjUkQujCjAZShUyYzxcDTJUJigTFGk4CuKouKKgLBVGyEJTFELC6szYAYKCi4DFMOMwCxJDAsi4q0SXlfmGwUqEA9IEppEpTnU7+SbndxZC3RwuPXlBbc5Kvy0Knnx0zgxcRoKwcZHJPUwgpieoSZIEWkyhkCr8pLNAlRAl3g5ujl6SFeeorzJZGmUmZjtBx9EF1kC4iSyqwHAHBZAtMqk4mXBNLKIxUcoyFWYRiFGck1qor85LSMywUFEZDPOpPMg4wBtgF2OfUIq3Qk4clQOTz2OZeqIrWwACdXHRYh0Ix0TrAilMdnO06D6Zp9AOZq1OOjk590KTn0KS3UDldyQ1mIDpxEWJClCQFXOcdkyG6FC8aC4qdvNSMStFzqfm6K4yNHdy1nRjsHq5bCRtKK0g508HbyVu/hvCEPUZdMRRVUVaKqlgKcwEqghJEzgTNgY4DAiUVxDsABwMoGeeLV5VOs89IoVUcwSrLHHRDAdVIXkQsrCbYZcpTTwXmwGTFVTFAMF0YVgpRMB0GHUgu3LjpPLeK6RqpkIpoTqx5xFWgK6xzVi2maoUMUHMDoki10iBLyeYxVU6Ekq3pyg6BByzQU7ubY6uXo5h781yNIsYTBQxYoY4skiW0QU08VUAurSOuNOYpOswGeKhAW0yM8KDaTI2mVZjQjWPacgHQc7UmOvRzhl0yFaeKKuGGUbBCqqAlSZi4KRsLPKDBRsmHGYxZSziBWeQwXFlUF35mKS7JpEXAidMlk5oRWqgS4SBsqzFCRJIBRRSzEaFieOEzAwJExJkooaboEn044kvMQ4gDqbMoGzCsHSYbKBRAsAYo4hBHUqEMpmDkwxEzoDUQK0QUkiutQO9Tkn38xFXAmYGzAzigXNjkn3chIMA50DQE6k0ko8cWVoLRodAsyhUzWyyzJYo8SeVFpG3MjUiaoZEasLxONoL0o6kCCMtXOejgZHUROgEhQE8SUSqIKJaoMNBGFZSIotkqZBlGFRQ+sUjDYYR0pGndKVKLC4FQHJNnci9FFncnLupTnDobagjUJI2IiuxzPYkhSI9+e6c8NlZdkM9lNNh12HfYKbJm2WO2LS2BtrJvtApssxsF9habCdGwltgjYmdkmmxaGy9Etoa21cjbIg2UNsdybRw22sj17Lbn2iQ21Mdol3bKYbFufaEptVubZLNtS22hm2XmnsgTaWh2pK7DrtZXbQy7U/PtF4bH//EACgQAAICAgEEAwADAQEBAQAAAAABAhESIRADIjFBEyAyM0JDIwQwNP/aAAgBAQABBQKVYyY3qy6LdW8rdKTbyeVuk23bq5FurlVsuVZMcmncqUnduk3durbdurbMmNstsjIXi+73dStiZdmRG3HZHb9ubLM2XbUzNjlZbFJoyY5mTMzMzMj5JVkZC6souHWlEU3WVP5Kl8mUs0pPqKU7MjPunLcfEXIbTNRLLLO0lMupT6m1LtUtLR+1g0RU0eEbvp/qT/6dSy2K3J3apx8RpjbLYv16sXn+tyLlW6douVem+5umvJbLlSs3WUiOy+yTIvIb7G6LyXHjixN87E6eVl5CxwZFLKlVxNXq9X2CVjiao1i/OLpJ3Wq0kUxpo97R72uLHEity1L1UsExPe6L3bRHulKCuKsx1dje8t+vPF6yolok00hfty3Nxpt8Kxie74TG+a1VN+PDb4tjEIqyj0erZtHqxMvWzwelJ09tG61ZJ2XQm6c7IyZnxkZyMrHRlrJDdmjQhSWVqvXadnN6b3Eb7W9pjfbbieWXw5Frj3dEXRKViZncUf2b3wlu9KOq7miz3PnJnkStxjFEopqMcmowRJWjwZSptjFGKJJNtbjCKk6ZXFurZ6jFMeGMo4kYWVHFqmWZClRlZotGSMjIy0JWKGnBpw6Y4MVllxu92zFslGVb4YxJ4+/SjZiVQ8eG9ob42RlR+k6Fs9C86o8GhyL1tqhbWjdFT488OVGVvVauXO+I/pePHT6X7iv+fiGzZut3s8n+vuv+nr2rNmx3S2pfx9TyvxL8T/X0j4oofHriHlfxTF/Kv49FK6RSNCtdNtomt0aI+U+/9Qp1izFlMakiklJJuMVbxxlGmWzIyFLehyFSSmrc7M2N8qVCdlHkYtvZ78O0OQnq2yxt3syZbLY2zJmZbRk2ZMtlstmTG2ZO7Zbu2Wy2WzJmTG3Tk08mXZk0ZMstlli87rJ1cnxZZZYnRn2uabU95Klidp2naOi1jmmPbKF5UllfalrEcTF1Q/w/3Ea/5z/XD884oolFY1zS+tGLtuRlJcWVtxoS18bXD88b4unkN2XTyG752YPGEYSk8UKLYlEnjESyGuNmxljkXYmjLnZsRVFOtvnZb51ToVGqUmZGYmWaMeWzyUUXq+W0WxtmTLZZbLL4vi3eerfGjX1sWhUxktvhft/j37dDokkOjt+r+nrsufdDo1EntRVLpqpTcSCalNpyeOPaaHxrnXOhRVR0KO+0cdyHErhnqj1wvOzYk21G31HjLp5E21LG+nVuaUIwtnV0RipQfnQuL1kJ0ZHnjZvnZtncjZfN/Sy0y0a+iY5tikKdl6wd7FGzAxYtGRKmLRkOmYyFExp83zfDswHEaYhyRQqG0yjCSSjYqXFWYmPDpj6ZgNCVmMKcRQiONJUbZUhNovbdi6jiNpvLtsk8iLUSc/kIvFZ07/8Ajo0JWInsjHUoW8ezEfGxFFEkouKZLy4UubHIstDZ3S4YkWWb52Is9c753z6oWhsvi9XwpM7mdOOZKRbIxZcvjcWWRmOFRyozY2bL4sszM2XZZZZZo0X9FjfYUihSxWZHRmbbocB9MpxeInRQ42JUNIcUSiimUy9WXYmOzyZDjtxaErGhUUMX6rc4lHpZFTN2sipm7H4rnuNmypG+PVCH57h5GxWYyKwLsjKk4GDNGbLVuMjGRGWHT2JqSafFotGqXkti/wDhRR60WhF8VxXFnu5I2Q6fZKZkxRZBvKTkfIyFTGsZOcRNX/zEqFFzO1GURSQlrJCtkkRjp0SG+7uG7KKFWEmrlt6+NtZsoxMShecldrGDSlawdUUYiie9Y2s2f1lLjRosvmyy9U63e0KW3+JRWUY7xTgkUUIox7XBDjXDEhQ3jr1wuKlWMhZXUqeQo2Rgh5OS8t5wwkRjJNaalRLuMZHTUlPqyuT2aNN/268tCXbSYopRmqkm0LHq9LeOy2eBOJZZ60as0aEWNnkcaFBONRPj1GCkOMUY8WZCkXxovlP7Xr6bHxbLlfcW6VfW2ZSPPN0fI7z16PdcZLHNXGSu1hJpl6cnxQlr7NsqaMqPk0r4to19HRgi8UxQZQ1kUaEPxQ4tCKHGhcdtxwUup3TTjhPuK7OlUSbtdLtO0niaF5KKPVceiy98N6pcXRaLHz64XniEWyMLfU7ZRJ6lhcKtyioKGzqaIxyi9OxcaNGr1ymUUz1vjJGUeLNltHkoSdqy39vVRp0Ie3/ajsOxmOlPE+U0xTxXyFWUjtLSX3XHaUjEypZlF0siiiuHxZYjyYmJQqOymlklAklVGLZgxXEy25WLqNF2Z6yJSyFKic8yMsT5Nt7XGLZ8ckVvCRXN0WzJmQ3ZR2tuRnQ5aEXu0JxLiNlMwaPCSseI2uNF/VlFcUULh819KPfK/wDgirMBRQ4IfSY0+HzfN8WKTMpFyLL4ssssviyzIzLizsM6PkFKn8g6k6R2naUe7Rki9GJRRiYi4UTBX44yY+KkxwkJGD4fgooas+NX8abxPjV/GiqKGt0URhZj2uAoGGsadDKEUfHvAow3hxFpFvGzZZ4Msk1EfLKZjI7rqQ8hcr6rnRoRZYuNGj39fRRT+llstlssssyMjIUi0aMzPSnpdQqLG0a40MzlebLM5Xk+FXOi6MpVbLZlIuzXFc5SLfHcNTK49RgNaldpMXFFFcXrJVmslJFrExMSijWNxuRRQhVlrEooRRisXBC6azxThKFFFFHqjEcRfZfR39fWjQjXDTPVcPzbLZ6tmz0hq30+nkWra0/MsYkV2y0KNxxPj2+lFDiihRKijY3MuUTITLvit2kZG0rRlIuDKixwGmuHFp8IssXGIunZizfFMUGYSRsyMjIsuRci5Xcqt/TVGRl9nw1xaLViRRRRXbihJGKwlHF/Iymz42YtFb+OB8cStfHFD6cStI7oim0aH1bVq20z5Ki3Zn2wtlJtuyT3bY5osubS1x6KKsS14NsUY3VDxFgaIqy5D/URu5TivpBRIVl1Nziia7tPp4nV0umkdZUdPcfjbkL6e98eq49KI4JRisicUhQyj7PVl84sUUOFFNc+tmxZCyLJOnkzKQpSM3dstmTLZbM2KTG5HczGQ+nJLBmLPjkYFcJsrtS7pJUnQ+57r16r6Pl2aTZKmKKY6ume7LtWjtLii4muLZkZGRZkZmbMjy1BN4GEhRiV02Yxc1Hp1KJTPjZgyLozduWUYuiclJReJe2etmyKV9t9TujDR1F2dPUMY0z0VyvEoKvBZ5ZjI2ekmbPS8qOShqMV3TVH9p7lXY0V2OFEYWSSqPc1G2umzGMTOB8p8h2sa+uJ2IuB2mBLpsezOTJbe08KNNc0RhbajFxiiSSb6fbiPpqKjFMnCMRdO1W64vbN8bLMmXIuRk6spmMjCZ3Fl7tVkZFosyLMjLdxtpXWk0lkmRoTiOFmhYoyidjfYpfKOakdiPlHOyolRuTiZFmTMjIykWRk0Slk1lEku6HT+QjBROp1FAcsijwZFkJtc0SniOTbssTE5Jx6qHBSJQwKofUyJUKmOCHAwE3EjNpum4yiPbUqjdE2pkNLqUyHau3KnZ7xkz45Ip5YTpp8WWRVmKTnrpdNI6q7Olsw2xeOKtqG5JRhC5E9RhFSjW2ej1wvD86NC+1o9IdfZEKyns6clEluULmRioR/9HU+OOXF2UYiMYwI0yiR2MnBx5qxWizo9XEaTXVg4SfaQjkT7CLk3O0Nst/SyyyyyyzPeZkmsomdHyGfd8g5JnaZRLjSrjIyM2yz3jvF1iYitGTMrSdEpqUYui2OLKdKFj6ar43l8WscR+dmxFtO205F0ZNjfCKfNj4viG31Emo3E/8AOtZUp5MvijZTOl2x8yRRRKJ054vq9PGVcWy2R8/+eWurHOFJCnKJg5LUHPqWPmivrTK0vHCN8bPe+dGj1xf1Xj62WWxORkzJlsyYpGbFNjSujGN0dOKy38cla6cbe/jktcYqq4qk13Vz04khNoqof+j8NYknxZZZ1O3p9NFH9cTrRpS/Uu7/AM4mWZFkJ4nh9WFSlSfyZFba3xRiYFfRQZTF44XHcVIt33Vb42bPXDZ749IfD50euPXFardWVRbvJlstilTyjg5KovEyji5I2bN1fFopy4ss6MqJU44f9r7v/Rtsx4xKEt/+h/8AbpeS9Jk/zLx0dxoooooi9Rdw/wDQttaw/wCuKjLqfrij17fFCF/IvxTqndbxYzxB/ml8sfzL8mJS4S4auVbooooooaKFHWCuijZTKYoWYJr42pfHZg4lFliMbMai4mNmNJxGLXNCiKXZjY41xF9rW+l/IdeXe3u+LLOl/J1N9TpeWIRLxP8APQ/lb5bLIsg/+XW8OV9KTlk7uap8Sgvjvi+bMmZiqrL3fGZnrPedLKy2WWW+MjPdGOvd8aNDo0X25K2JbxKRREr/AJv+WK0/w/NsuXOzzxb59cVvFRHqUFZLbhEUahdy6S7jq/sS7nz0P5ZfrpeTHhkvz0P5H9F4RD+Hqn9UsjHtxFEkkOxpxL+qaNHrZs2aKRSrFZVEaXFlnqiiiBepvZsssssop8R/MVFLq0nw7RbLaFIZqrXPo98o94oUUTOppJ10mLwvzFf9OiIl+5efbK46H8sjp+RS4ZL89D+R8o8cR/i6g/x0fz1fC/Nuurvhbg4GL5oUd1xVmP03xvj1s2elGzB2umxpoa7XGSMW1X12bEjwRbkTttI8ClrLamWmSo1eqWJqsTQ6qkUjtKRUbvGMG5KR1ij+yIfmH8vRES/T/XHs6P8AK/EPIo1wyf56f8r+v94/xyP8en+Z/lrUWXfT/wAd4td3a3JNcJORGmONDji3qWhVxo0e9c2jRBG3HK4xqn56cVb31HbJJMrihRMFX6LbNDVFPGKqMooaKGtIktqFqXTUShRJR7aKJReNFCiNb6p0/wAvx1v1fCI6hD+To+F5l+n+h89H+V/mHmxSviXiXjp/yvz9P7w/EvL/AIOn+Op4mQ8/1/yl4f8ALLzLcYnU1Dpo6/6g76L/AH4ZZoarjHWjXGj+qjr2lbMbb0bUX2vFOFLhRH+3FKKsu0LOoktuO5dWG+4SkSPXpEfxLxL9R2peH+/a8P8AkmdNWpt31lumulW/BLUI/rpi83t+X556P8jIjYixkvHR8+/p/eP4mSvDo7j1VTkR8ONQ/wAb0/5Zef8ANHV89Px1PHS0ku6llRQkOKqt46ooxQl228IxkQVzgv8ApH9L9+v7dTz0/wASWyHmX7kqhA8qOxH9IJsqp9WVi/OyZ6fheYfxyJeYeJeH+l5j4f8ALPz0/wAvXW/pDfTfj1Duj5fSF5n+vbvK+ej/ACekWS0r4Z0tfeP46h/Xpto6m35jHcOto9xVp/yPyvxE6p0/E/EPH+nv0xeJfhfzx/MuYFbi/wDj0v2v5ofyP9xOn/L1x/xy/SI66nmatroo6O+n0tiH/F032P8Al638EfJMkPwR/jl5ZHxI9rzDx/pP9R/GWL8RirbF4/MIq+p0hE/Insss6P8AIz0ddaPUiH54ss9C/PU/M41F/qXi9QRNO/PUyoiS/S/ETqnT8dTxA/09vxIh4fhfzx/EuGQ4TXx9L9x/mj29R/yJ6jrqdaSZWXTl+o+f9V+6aOi6Ol2w6Xkf8PSXbL+brf8A54/r+skSJcLx/YXhvYvMfz5n1P0vwTcXBcRGu1yuXS/R1F3P69N1OaqUSCuUu6Ix/p66X1jx1fLlY+/qtMpI8Em2NKvcB+V+I+OqQ8T8Q8f6e5eJEfEvyv54/mfDIeP6xgbU0+4i+/1+ZTI0unL9LzH9P9alCB4Py14vthKi7n1bxj59Se/mqM+pm71lTk8WRlTbrlNITTn1DorXg/rFW5qpo8wcWnfcdRcPjfCJbURaje5eWyEbfVe/r0lw2NPNKUZfyPweeIvfuA/P+Z1PMfHV0+l4X6Sd+mxeH+U/+i8PxwitRnSuxWy6Es3tSiuxrIvCAheJeZS7BqopiTpPbpEf31n2x8k6vVaH+ffofkRWxaldGQ2XuxviMu2cZSF+em7Xp6b+sZ0LZfHk0OZ5+qFpdR0rIxlbl2QbJPd8XRVkGoxw3Ijo/S6ccZdZfJL8xtqak1Kyy6Gy6L7cixdSkp0osrsrtTG7cfBK7vEveSLLs913f2WhltER95qLbtpl9z8tfR0LjQjRo0Jllq8jIYo2fgc7irLykpKQ6ZJFc0KBf0dNSg1ykUYkVQ50XUmmyElUpahHclxZki0ZGQ2qTRaMjIyRau43o7TtNGjRo1xqkKSu++6G2y+2UhSobv6Lh7i2scqI+cknFu20b4VxIpntxZQ/GLMXwkymLjZvnf06fUolkzxHAnHF2J80ioll/d0YRKVUaGy9KOTcbf5EsiNxcpIviyzJl/RSouz0n9PZ79Hr6qQjHtmlfNL6ZGR5EsjqR+0fJXDM3bdFmbMudlMXFll0XqyMo0zaPKVjxypPn35l97r6dpq/J7TGQaub+tGO/piULx9KMdY7USj0UeiimKWsxtt+lxvnZviMqIzxUpXzs2hZC8vzWhlRypNijG2kzRoopcUm8UYkY2VquEituIpMyMkyy8iqPPGnxrjS48L34LZdGRk6WyhrcdkVprdb42Pz9PR6NcWW7dlst1b+npCY2+Hx6Q/pY2XfG+bMqMjIU7eTvIyY2ZRyune01le74sssT369Q8/0E9v8pdtCjGo6H5yd0+E0zFlukZI9XrGR4FKPGzdbxUUJHqO+G/t/Yo2R8xP67qmU7pjs8QfjH/ovDXbsoriitUr919KK5SRSxaSdFcaErEk24xpJIwjxvh+VFXVlCgNHof8A8bIyaFNXcTEdozmJtjyLMYMqi6PWbE7Hx8cSTSLsqZscpsp3HYlZkokupY39chz3fKdClRkq9WN7NGSpyjWazUoqLkqsyMiyy0OSu92ZFllsyLLYmWsG7Ld5MtmxPcXUm+2+69muH549cLhlcUUUyivtk0Z6yi04WfkuL4xKdmUk7bdm2VIUd0rcrPiE6JdRN/KPqGSGz0e+LL+totHrhcaO0pX2jrmz+po19PUfL+un9Ee6KMSjGnhHLBXgYHxpD6YoM+IfTFFmLr42Q6e5upUsZaHWMNqSohHMpmLMWb53zvi2W2Ky3bcjzxchsssyZf8A8lG3ikYaxQ40UYEY2OBhRR7Pb/8Ah6oxMD42OLKPSsf0qzAwHBjQudcIXk3w/NtFs9ZNGT4syZGdHa3lDDTNEHGIyLxMhzZmKRkzMzLFIyLPJGyjEcSinT26oyLLRaLiXE7S4jcS4lxLRca6bRayV4OsptUsTru59NnVOm/+f/O+0qJUBKBUBKGaUKcYFRMYmKEkNRt66UErk76fR1Nxjk0qxRijBGKY4pCpQW2qOm++cVm40YmIoIcBQR8Wx2Iflceiz0Mqz42YMwZizFlMr6+/R69CE6MnfabT7TubeKTk0Nt8+uXwz1xZkZs+RnyMyMjMXUH1GZl3z7fHvmij1ZmZIfW1nu7PS59WKZaF1cVmhu/pvhWLzmOavO3nv5IjnEyRnAygXEuNXA6eNzdyb7ZUSl29P8zo6VMxQ4q8UUjFGFmBRgOBVFFGIrHIpDVGPbTZiYlMpmDMWYtmDHFmLMWYsxZGGRq/jVdtz6eIokoKDjCyUVE+NOOO6ZRW6Ziyt4sa4plMrVHx6UYj6WlBSeO60uN8UKFmMT4rWCbcWvorPaTEeuH5p8euPSGKVGR8rM0ZketiOcTIvlcXqz1ZZfFlsyNCapmWrLZZZZmzJmTRmxyY26yZkzJ0ps9qsXdymKTJvJwJ7Iyxj8rv5N5tmbv5Gj5T5Gn8un1GZs+TeYpmdjlcIOhvs6bxk+p3OVrJmRmZUOVimsVpqVqOpT6nc52ZGQuqPqC6ouq7aGhFO1CZUjZXUHkbEPnZ649cehcaNcaNcv7+uPRXNceuPXG/r3Gz0WLimUyndM2eiz0bO4t8Wely/Bs2bNl8eymUymYu8mZCbMqanG8kopoUo5WlGxMstcRZ/nIj+X+ZVZrn3qmlmzWMksma41zSKWXFFHqjBZYIx1grxoordboow3hvEoowsxtYGOsRx3RiYafTPj7sLjgUYmJWqMTAooorSRRQ0UYmOsaKKKKMRQ24awPj21qhDLRo0dpo9IfHrRaNc++VxseRs7h5G/ts3fFl8WKTvJlscmWerLPRlvPfOVClSyPVl7ssz0+oLqd2dRc7LL3kXqzIz3ZZZYmWZF8ZGWsrLL5uhTp56zPk3hZgKDMJX8cjCRizCRizF1Q0xRbMD4zAwZgYGJXK88+vukYGJX09GzZs3x649Gzu+lncbPXHr3bLZbu2N/T0bO4xMGY0ekPh8bO43eNig2OLXNstlsuTJWnchGVHyyPkkzJo+WR8jZkxSZ8h05ql+pWk6vqOyH8c2jptfH222k8kWjJCxp4XaFgPE1xS519UVEaRoUEYIws+NFIpGCMEYOlC0vOC4n06FFk1hKMUySUTC4fGzAxoxPjs+Iwt/EYNGJgYGJSrtKKYrHExMBwMTExKNcU2dyMbMN4xFCI4CihQRL6YlcYmJ6RZbMpHySM5GchdWQ5syssfC49cqFmJpHchQfFFFFFWVKBs0yjFrhl8PxwnpT0qMo46JTsU6JNScGidMU6jlI2evdstlu7fFGPFIUtoriiuGjKotFG+FIRRRRXDTMrKYkxxiUUKGTXTjWCpQtrpIw1QkYlFaxZi6aYosxkU+KMRI2dw7NmzNilKR3HQxROTlIjRlElVTXcdCdqaSle/kM7LRo19fRo19NFKtHrj0aO07b7S0RlRkhtM0QimpdRmTNngdJOUrXUaGoy6ehTiSlFmjpxyc+pvJsrfglSTdkJuJ1FGrSPlJFlini11FjnpTxa6irOo2Jlll6UtN9kpJlrCTHLdlmRZfH+h6f7jY0xOhqzBiixUk4mDMRdqb3FtD2JLPWPqlkaFRrnFZUvpFJtJYNKjRSvili4rKME5UsGq47STVJkZUOJTLFC3JIaYosuopjou0nJEZUSjZjIWQoW5U44sUST1JtpLcrKEeHer4tF8IfHrRcTRo7eXwuKGiijZbR8kmZCwb8cWjzxjp6M9vqFticrbkXIcplstll8WxOV2y+LLZbpuRbLLPVsykOchSleTpt8WZqnJMRtnh39K05IXVHIU9SlkIrm750jJnyWu65QbMGKLHFmMimNFM3wkOymzExMTExMSmVxoRQ+fVHrlIxLY1w7/APk/HHo2b+u6PRvnZbvd7+1ilI2+FiMydcvnaFZXGqt2239FY5NPN8ZU/l0+paUmmuqqz1lIyZqSjjSk3KWI3UptJpRxloUU+mo70n2HaXESiOKO0UU04K9GikY6UbLN05MaY0Y6xKRR8ZhRg2fG7xKMDDhRbKR8bpJNyjQkOOLULHFIxpYmBi0YswZgzFs+NmLKMWYiXFSpPjyMriiiuFFsWhZClZJsaNFCgOIoGEU5Xe+b4ZZrhDoU6SxJyjI7beMhOGDouo2PhF8Pl39LdKRu/wCuy9ZVwuVJlstmT52WzKxS7I2n3KCu+pK3B1LqXl08pPqXknXSzZcj0ZNGbLaM5Dd8bNidFjdxi6JXjF0723rmy7FLQnaXmUt8q+FYmSWxFpFqm0Wjtp1wh80OBRRgyuGaFxiY8UY/VIUTEcRqvtTNmzfDNmz1kzNnyMzbLsujNoXVZ8jLdbNno3zv6+jb4xGmhnrl8bEmaMGxxf0S3RRi02ndMpijk8UouCRGOT+NJOHFFaoaVYGDrEwZTKK4oooVjso2OymUUUIjwxj4S42RbLZbHJ3sdlFcxe7+ll6s9UUetmQ5bUmN6t8UUeheIjH4dN8UUUVx6iWWMoop1TEnSjK3d27tkPP+L/HS8r+LWFlmRZ6/z6h1f1/m/wCQ0aNHae/7eXVs8yKKMSinw1txZiJFFCW4pW6w0UsqMWYmLMWVtRWWMaSZiUxRTKjg40YsxZizFjspU4rKKTNYNUUyiiiih2RKabTuiiiiiihI7hWnSkfGYmDQv0/z/ZeXd9xsUmjPKMp2RliKSlGUyzIy1kN6Ti1LFk3YsWpY5to0Wi1ejVr9eH7rb1IRWJ74yVXxaLVlEfMLva6ZtdXfOymbFb639d3utkD/ABmbNmzZtD/LtdSLN/FLzxQkZIu+GKSLvhoarnEdxSdfTJ03RZodC89qfV/YhnvheZcIl5fj0/0/yhkv4l4JcR8+oeZeRE/164pD8H9f7f3JflEvHHUIeJeG3YuG9dN90Sfi3xbIF66vj1fd7fi3aJeIN2S4j5H5XhEvK/Hs/wA2S5fhCEtR/SP6j4j5l+Yef//EACERAAICAgIBBQAAAAAAAAAAAAERACAQUDBAAiFRYICQ/9oACAEDAQE/Afk6qudfYZRVUWqHpHwP3h7zw+QTxGsNXHHQ6c1OBQwZffPCcChg0xsYKGDpjp+UFFFAIM+UGmXGtQvzi//EACIRAAICAgMAAQUAAAAAAAAAAAERACACEDBAUBIhUWCAkP/aAAgBAgEBPwHwXHHzKL1XHRx0ent0cf4W/wBO2I6uMeUSTAFsVI+0BfeWldRKhKmWUH1oMfHENFPjCFQQ+MIaDWUO8YdrvigqNGHYh7K5RUQTKghj6Rg6WMNHHCaYw9M87o+MHgccfef83xv/xAA0EAABBAEDAgYCAgEDBAMBAAAAARARMSECIEFRYRIiMDJxgZGhQOGxQsHRA1Ji8BMzUIL/2gAIAQEABj8Cz4vgTjs3JycnJycnJyciWciWLYlnJycnJycnIlnIlk5bn7OWWVWeilmVF57t7oOVPMSUZIhSxc+hTJOyyOC2WBe7WZJMlbJFJM4+Dk7cHJmi1I0iZXuKK0nRSlOnyYUghZOxpgks4Mi9Wu2/o4qzKGF/QtdjJ5RJPce6YabXuJUH9GmfuRaMGaJmBPMYEkpJ6Nkr6nZRkuxcfpstZgnUyrx8NBKZKOpS2dDlkj/JqyY1Hu5Lls4EygtCtTQ/L40ynUwUrTy1NjngySYk+CUWXUk/4OxWDCIZy6GTENZhS3t8qW1lltbYMqWZbKlltb2YEScH+5IqJLZOx2JK2YajCNkohcyJ2e1LFU+OphTLYXBn/J3OIbiTDzzyTyWdTBkw9mW/3IwJgmCUMLkr8GGuVPMV9tjbkoXlUJQiBeYJTkopslEryeEpREW7McFFGDJR0Etugm/nfgvZ7jJyYLEwy4KKQopCimXDYL2Xs7lZM4bJXBmiFol8EkyYVVOxjZ1VvCVIm5DUsciCC4NOBdujHJ9N9GoxtX4NLKaRd9bKKZRKoUX5K/ZyctyKaBbMKW2pOEJ5owuzJMECiLBG6mnxNgztyYMIiFveWlGkrBhk9L+zB/bcPP8AClF9GOGlCN0CdmsssVZsiSzh6E+RFFwJ6FNW63toRCHgmTJZb4LR4eHwe4lVx3OTE/JKLJz+DCr9EaVl7LZfSuCZQud2fRpHpq2cltZhf16tGfTsXZ9ifBr+XwZ3y+RINKJweYwoubJVTy0ItCqYVsejl8tj1eG5PDp4LkuRNSfhtM5VSfL+CkgVU44bl4eN9F+p09D5KF2UZQowhlEgo8qNk+PTwUZQpDCGUKMITDVJ7Smo9pUNg5MtElltg5LbJjBkhGy3mFROSn5amrf2bCtb8bIQ4K9LBf8A+BNIRoeubfzIeJF8pgp6ejCFGfTy2FPcQyy2I2QZPaUUqP8A0YXdglUMIe0wUVts7dTCFPRlqMvT0UYK2U9GU2TKHmPCphUb6ZOxTQqiwuFI8OTOkpq2f3sv+HYiqePUsIeVIRu5Coqlt5cKZQoy2Gypz+SlJ4LU8upsQe0psQZaiBIWmgRU4ampqNXcgkgQpqdEJlkFhX93oSSrZ/JPcg1YQnl6R5UTvtiSZayxSzs2Gyy9SFU6nhXDUXZgVkUTqh3PMdioERPayrasuctgn/UTLzDcnPoUclKZJ8RZJ7iyUfndf8C3y1FFNG6YILLbhoEXo3ham5MKL5tlLs4LLPKUZKKR8nJCETZ7mw+HpXyiv5jAqkTlkSTzKyqvRsevSet/ZhGVNJmF+jhRNWnlkm1JhDCJAqpxwWWj1sw9nuOvxswr4hqMYKKWDPG/qvUw3J7izgwe4iWmSEVpkXz+lZlsHu/h5KI4KPKUu3JhWhstkWOTqU+Ek9pR7St1GUEwUhjd0bgs9wnmQyWZ2I9K9veyivSr1LL9ay/UopsIYLFXqWZUt79Cnym2itlFFCPX7dLyKnQgRM5F7PRX7eWl6alahN1HY6n+puhkwu/u2X/t6K21tVray3r0Le99FFFbU8zdSimrJTVkrdjbn0aK2TIpbZ9CRSCtlEGnO1ehnYpYqmnFkCrBjcmRc7uNlHtf+ntrLaeGr0qbCGESTKCRk9qGUQ8SMiKcmGysFqpjS3tM6oPL/gohNKFEeEzCfJMIp5khTGUM2e4xqkoozpK9DG3k5OSyxd2Xr0b2p2F+N+nGBRF8KEI0FtSlmFKLMKUpWxMPENCC5QnM85buZoiJK/R2+TGmfszqMpgzqWOxS/ZSL9lFqikLCt7UMeEjVH0YTB5V/JCrh86f0YaijLKpwYNMmYNKaeh3M2ak1GFL9BCj+3TUv4MJ+xFgVU49CW4bl7PcWXstCy3vfwZjfBJ27kyTj4Qyn7IwV+3/ANj/AHk/o/8AULX7P9zLf0QkE4PKqnmkyYOn2ZT+Dg4PMULNN5StkiIpYiUL3FnTty2mOChIU1Ioqztt5nLf2+EMo1GUfKwXmBDKcYMClYMCdZMmD4Kn/B1PMv0SYKM6S4M7c4La/wBmCiJ/KCaYyZSFIWt8EWZ0mdIipSsi6uT2qciqmY22W1llll7aKKKKKK9C8HuakKIgxBCqy+Yl8lvYmTBhd+UJygosLPcxhCNJCZUznbC5Q7P5TOzCnmw2UlFPFwVCKYyiFb8kiIUJ8NGmjUT4diw0JbZ2+7AkGRP0ak1dDEbogRbVToUgvCoV/MREWRZPKomhKPDpPCl7/NfQw0FqTabo1UQuUVlTTC6VOxivXooo9php5LPNvwZMYay9sK3hgUVOpBRZZElty3D1sp6K35LSSTxc0LqPEqlF7F/6nSjLS3f/ACQtcoRxu/8AjUVOUPN+CERDzKVuv0ablqav5tclMuP21YJE7oZRk7pu7kbJF/wIi/gjsR1VsbdGntKnyrI0pwdEXJP/AGru06k4ZSdKT8mEO5RXqWX6CHBxvrfzst7LMKhbL/yysqkImGk8KNRRRRTTtTqqkH2J2QjcvY0/DIymn8H/AFNPXTv0L8CfAiwQvOy2+zTtU+9lFfo1Qppzy2rIghRTpHJEcPavZbyJ3bgpGy0+IgxqoyKUhWl+XnOz27IPl6E/Z9n0ou7T8mtYE+Nin/8AQuIxvRkSKNPU82yX52W1ltZZAhIuLa91E8NRRRRT2Jncr6vsT4FowX+vS4fTPJq+GlRSUIsQ+hd2lvrb9k7/AMn2RwRsweFStnLdn5OTJb3s4ONtEGEVuTk53R1fjasyWe49xZwe4s4PdBZwcHuOr6fg1bUPpDVu0ii7fveh+T7JhsN8CLweLqhC9ZKKejJjJzs5MHJjZb4IPhk8K5MlNRW6mzvXC21Lbck5bknhksUQVeeDV8Gj5EjoJs+hD8C7kNQu37F3IfkT5dCD5NAnU+miSFJJMKZUqTOk9rcnJycnLWWpatKIRyYI/RCrB4THBg4OH7iIh4ehRgVcQ152cfhpLZEIVcI/hnF7EEFNH2fQmz6E+D8C7kNRq2KfYu5D8ifL6WQT4P8A3uafj/Y1Mi9m0aU6SSSKi/6dlIUIsW0xgoooRpXp1FMHdS4wfR4WzexCdK5Qwd0ojlbI4k/yhJJ5TOz6RkXuyn4ZRG0mkVD4USDxdxW+RSOzL8+hqZGUT5Pr0Y4ZE6N9GjugnUzwjo30+oXb8Eb/ABf6Uo+zUn4MfQiC/SGWsV0I4Vln6O64FX4UnlBWiBcZOfy6/B9CbVNIogjJ/wBvJq7Qak4aSVFg+ti7VNTaPh9Jq7JuQQQzzsjuJp4QXT/2oIq1ToK302r4Fdfp/t1b6NLfZ9ifJ+BfoQVT7FaBTVPGD6NQnYVtTJ1lpfUL8CCfLf8AvQ+xRPh0FPoXorK2DzJw343oyto7JDKaexrXarIydxISDL5J4XghKEZH+m1fBqdfp1+XVlNJ4UXJ9izwTwikGr6MXkwyuos8n0L1oROqwKfZrb7FdRTV8GlBPlk+RBRPhkZWxsU0rC+igp9bIOp8+jpyuG8OpdiMjIK302r4NTr9Ovy6spJPIsdSV5JEU+iUPkWVgVvplVFpl7n7NX0hHyKskn/jArxCYJbBl0nYuBFF8VEK0HZvkTJ5SSd/iIPl+/pZ+TyEkmNqr02fTR3NQqI6/T+J12KqKvdGwdlo6CJHEHdFZE5dBCs0USvJGrrknjkwmTJJEMpYuS5F8xcllloW3DcHG+pJwd0IIIXfMY2Z0kJ6ECqtniJRIO25dPWyyHlSZbBKbEhWmXgho5P/ACOkWTRPEiKeLSTBkXDz0PEvIurgTxebGDuR+hSUPh8UUp7D2qcnJ7VbkpX5OTCmVMKWWW1oeXSeLSSjZ3eYjZn8+jJ4uCFQ+TCtT21kQ2IRrMwrZbnballlliEk8siQeFrTd4cNRKySZIQhlEx+2/tqfk5OWtTk5/DXtyeVCCUXBgymW5Qt/L6GUb+i/wBFNhMkLwRMEknmMKXstuHtG4OD/ScHBwcHBSNR7T2lFFFE8HinB3fkpX5MnYwdXssssTzHBek420mCXwc/k5ORe+/BPJnKGD3GdSlyhhIMGTiT/gowiFoYhDoLg5Qs9xzB5YRG7nm2c+nwWhaNwKSQ3DcHG2IwUS3JycnLcvRiUMJCF7Un/BRSC4KExeRUhtOPcKjUytAscEtKPkxL5RsIcIZWSkMJKmdJZ7jKkJpMpBwXBwpMKclHRuhKZevWsU/otr2WXv8A9OzjZEbeWkokosv9mFL/AGJ5qwKs2WafNQuWpqdaIdGlMdzOqWWWnH5OD/gyQhjV+TJ/Z7f0c/kx+DzLgwsvaYKIhCdSZbC5FRVRT42W2k+tqiddyr0EwRwKsCLGWoooooRIspqaiiinkVEatioIvUgXsrcPZbXtr0bMl7PaUeY/4LelfopZ7cHlkyXpQsy3mQj0K2rggt7LIEk8QvcjoWWWWWQIucFtZZZZb2RJe5VkRPEhMmqFtcfybbuYbJ5VQmZJOpBl8KeZPwdD/ls5K9Ot1Pbcvy6Fl+tZZbcbIksiSxUk5osTzWWWWZVvl89RfCkIZZI05J1GIOnr+UWWvO2/Twiltb9DEGf4NfysPb8vZH7PcRJ5smNTX6FPRT/2+DKPWzLLtWOjTHlFEno6IlkLZqTgVlgt7w1l7MKLC82ZOwhbWW1mFNSmRUQTLWW1lt7mpd2P5OS0RTOn7Ro06cdy0VTH8HnfTqV6nB4eDCekqJyYR63LgW8ntE8p7Sj2lNRWWwKJjymDTk6mBU1ZwWW1lllll7LZDBbY9KinpqaFR4W38SGGUpStlNRTzw0qRp9ONK+hy1I9FNRW3ghVKQoxj+GuJLI23tsvbZfmLPppETUsIYUUVlLR5bg+SnpCO7Wk9BFXbTUKnVllRGo4em9uyxf2Yrbxsooooor0efU5OXsssvfgv0bF2Y/l8beX1LNkd21LKZFTucHBxs7sojU3LcifJENIib03cNAvYkTv6C9vSXDSJkgs+dlPe3ndM74kmSy6KKf2ntailfnZbWWXusssv+BMFEQJgrdQuNq4I2KUQJ2JFTJGd0epG/xQQSLi2tqR6eiinrZX8K/Tt7L9LL8C7OHQ4ON39HHp4/xstrbBbWr21Ft5kO8CYE8SeVs9DypVtqRTl6PaJLVup+HorbZZZ7j3NbKq8EQ2UOrRZnBR4k/DWe49xbRLWWm+UUstre9kHuLLLM4MK1nuIOWtD3FtZb2cNy/JRT1vwZbo1pstG6GUw2DPoZI6nuOZ6nuayZE8S47HuIRSy91mWswXPY9pwU3LdSiFT72e6T2nBWzGSaMps4OCCck9SBc0TL0+Gz6lNX6FweJUJVtPfkXsTZho15Qgooooop+Dj0uX4bnby3UowLq1qeXBYnmWVMqjWXJ49OFJPae1p1Lg8mEaEVZMqimOS1bx6FhWiCzhpgjJHQkW8kJw/Jy6I0CCvw3BpFZGwSf8vYqRZjZKLl4F+RPkROrcvbQauxZby1ltbTg0p1aYEeiIIXJh84PIZQ5IQqSiPC3UwUpSmRPDwUZIoTArcfhqKKKKPa9KUuzG2y3stre9t/pqMycNMehyc+hgrZb0VTRD22Cl+i1/BEztysNTQ1GZQxKtiGpT3ZKPaZVuChfK1FPy1fyO5SehZZZb2X6llvZZeyy9lmclGC/Qtsoe172YI/2LJ8TdCyjCPlYF1LnBZgg8qIiGbOBdXKEGRaKKLLMl7oQwqlFkvZZe33HuLLai2hFSTKQ0asGDKlYVrLQtN1ll7ODKGE23swrRifQyphCl9SclR8GVMqeG+57iEh7a2vfDz4s9GTfnbyckQhq0oUeJWVRFUUjSUeFeoqeE5bk5ORYlsy3Jy0wYZFX0VRllWn0Lg9zU+dvt/RTW1lltf8Hp6vBSejy9FPT16FnPpZavSX/hlQlFw0E4aijk5bG73NelrTbb0Ud9lNyc7+Tk5OXrdT36XJz/AA63JLLbL9n5NOOH0/BwcFIUUasmkUwvIjctatg0mptPcXfyY3qhMCdzw9jGzkyQL2OW5MniMc7eSepHUUmDHoWYM+jRmTBjYh9Gr5LLt4hIKKPCmkwUUUVBR4RGRJo8SKy2y5VrEWcC9yzTHAuzGohSOT/61sy3uO2zVg7mk+E30avl1Poo+tqCdlEwKVts8xbdxZ0q0abL3Xk4U6fJOlCE0ojVkogzgXNi+h9v9i/IogjoybU2LtUR42I6fHp21+hbL8emnyyH3uXZ9isrK/8A/8QAJxAAAwACAgICAgMBAQEBAAAAAAERITFBUWFxgZGhsRDB8NHh8SD/2gAIAQEAAT8hvqO6LZyX8mT/AFZeXw6RbbSdo6j18I4mWs7IaZP4OQJ0RaZfk6+wmb+hXufYnN7+mdZq5ZZmeOGNeU45ZkN7o4a3gZcp8kMkuRlMt6Ys/vyNrt6ZxWb5E8eeODqqfZmZfKMUvwLTHxFjeXoZhcDTcn/sNK0XrkxsuTVK/NBxTdaZheeE0XC9A2u1WvAmY28HCNfR6zhM5wTkQ7fI3bb9hS3ryN6Xjsalt0wdScodKVMu3vQwdpZbZ8FPYlujgvwFHP58Ed/keLn5HN+hemwureSqPZgf2Ng8MsCdby8DshJPgVhE10OTULor/M+QmXLBWeEsDZpV75EHOUtwy9N5Esvo8GuIk+xW/tDXR1lG9h4KFmfJRhl3gtZwdCTyNsabY2k5/Szznwd55iqFPPYm8tcjSXhW2eYHKhRdjYaXQ275EFJt7Hs7S2NcY4G6xaFG2hLLzTOlWlcB1WPY5G23wNPjkVtp3ibDLrzJ8sbuCNPM/YrbP0hQanFMKwfiGJhoQ7YnOYZroTUxCvm+hEG2vQ4RO78ButGo4nJm3b9Cgyy5GjA04g42IrmGCo9ZiLi7iXRSve5CFrGCjKxakIJincghsGg+BNq85zRZwthuv0pZ5bCfkePIQTa9Ms2V48ibs5Ki3UKUt0c7NtKJPgyJT8j7LswiWspq0RrG2tNUdNcpB0axeOiyw0ujtlwg/wComLSqs9kWHjyJjPx5UwQ3T8DSbyPHLH2V0olebBO3d6ggq+xDfYY4Qn8JDHSmFyYJ2y82izw2JN6fkjKUFWmzgjSZXNa9GTEStVvBhJCuHAjhlX+RX/gNhcZgjF1OBGSi8NYFsme9lTasaXC0PV7kHUqztIXJ/exJm22cDGm/Iat7Rnqi9CYwl6NBXOslbtrnszEmcf8Awed3zgXmXFTiU9CZQmfT0LMekZN3pGGYgm6p2ghzkggFVF+zU7G6cTvkV3i/BlSbU7GJ4fzBZ8KFxN0N2zbf0zgf0OV5jbYlSJLDvwVt5C7lvZjtfgpzCaJ7svJv7FMzmDr8GjbTUqou8XoovBcGXyW02lOCmMT0PCvJqyO3RjWUSB0QTHAyY5LwQnhvmGWl7DbY1DQa2AmbUGmasLFVZ2M8hpGp7UFvPzyYebszVpbMqn6P8mJXR2VllaXTgW7y+xY7aXkaA0b4eVkSZTyu9EFTdqr+glwP0Jr5lyz9jzcgynlVeBSxirnoQ98GccmFqyu+zBw/JIcmp+MDm5Bi8ziY3DBUqmq+jKUoXmF3GM44Luqvc2aVtM5LiJY08CaV8rlDeI/qGAti+szPauk4H2Vc9ixI1cyYUIXvRBXxzgWcoSZd/wBkUucUGPDF23oeVZfWdHoiwvROjAuyFR4WhuplTyp8FmkZdLONFrDIiNZ8EXnAfkQ6NPhLkVkPAodJs89i8i0lURFOiRPAPImF4KXP4E0IinlEhlS2YfYhTgYiB4fARLyVRqZNpwFMMcZheBt8Guhz/GDKvBbwIj9H4Fs9t/gUteC2NOyPwXrvkx0KNFHuGfQm1/Qo6h62h9dGQ6gfsbsE0462QnmbGNby0L2ZWxq5eMmDy+jYoho2vsjhIJgNrmeDREmRNva/Az1ZXoybeGSpGeRYTJ+KVcyRA4uMCd5DI06N2W+BNvk14OI3PKGaeyDwxVm8ngp3TsYnDIVIkL+CuOfZzhRdDJznPwVkwT6CSb2+RZ28XB7pZwUehI4E4FURUppMyYqGWxulyKMsN/sjdwj8IU3JLHkb4sx0LCxzyyprFR5wXGMreRJ8ORa0XuKm77orF76M0uGXjwjI+6vQu0ClKe6xlo5GJtb1zoeA2wnTSLnoyfLxyPTn4HkeX7G8N7H9h8D5PSb0NqVHRU8X+o8Ly1Bt26Xo0bx2PB7WODht45GotXoZYbCy1ykMr3xB09usn3kj8jBnPnwIdd/4SK4R9DOZOdsfQmcL2fB6LRiLAx01ydc0xBTNukmxPpEqHJreDlltBRbZMixtozbazpkjWvRgtTWDAG9ydmYbwwiHj8A1s1tEyjq1hD0hjBIWDTLKbIYD+Sld15L2cC6TOJyLk54STFectbvJcZST7orMtlmjVmE7C21obevQodroh099lTOTGPPQ4RGyzZFOwxmO1/DUkwKDsMsmg9kLLt8sXLYvQmzc7/I2l1BuDUd2kxqqFSj0NXQjzXkYNNIy5gT+Tz/ArLPHZj8CTeVrsTq9DfK3RZlQvELGJuqiby10xy2tjK4/pmAr9htbI1Yp0lE+E3uizaUXcF/8mODf7ZkxwuGVNfZGddHNfyXwFij3X8lvg2Y0V0No8cjXQmZPuCbwZkvaRpprkhcGmuDTQ/ASwk0rxFB9dE2hXsm+if7H8PsuOPyaIWmxONFdbzuD5VfsMnO4exJct8jDBuAm2wUQWp0poOWWNmvke5obJ2FkyQkqqwSsZqP4HTS9J7OAfFXIyqUyOtt7Kdf0UX9mtq0ULtyarGEIYZrbHpgSXki7PITef4IXJ0j5Y05TBrB8WHFQr3BO+xUjbYuERp9iWihXRsrFUfn6CtPvZjv9jbUqCdkv6EmhMzXTYvBoXAM10OkOUWsoVmFkRJioRTftB35LNQVU05vBek2z8BGtMdxgamQ6aySenjtC1gb6y8kZIlWnyMcvA0rCSEE8L2OksaLb0Y/zNsfk04EbuRNtT2dSD0fBSNc/kdvZYyjBqDb4bFvYT9glYpFvc8DWSxjDjaa9GP8A4RvP0JbWBtr8Aky3oyS39DUqhiafE9CLL32csNUW6bVEyjdaEnL5C2FdeePBZaOAvIu+xHh65Qr5dyNXkTvr7/itNjdPRXNCk3HyJcJfBSyyH4Pgq/kwRdk8mhdBlsS4ZCeUMlWSHszx5gmW8HylRKfTDE6cmbruGC/zMgXoLT9E9DSlaMPQmeCLZYFOB74FPAJK3bngeqXYy+PSGxoY9OE0kuzBBIabr0Zcih20Wzl20VOQP0J/4G3BMMeQtEwP/KLTMjVBm6TktzB/bUkSo/8AOJbTe5korT2YlFtn9BoLy/BMhJ9kwzzM8Ij3Kti+h2xONi34VheWS7o8PPBx48jSxVcYVGfwNhEldaH1I6DVVnahBdPZhUoabfj+LRzRbq/LOZo3XMGszToN1o/4Xshvx+B/7IiV0FiUN+x18j3x+SuUN+i+COvwJp6L4/JRMsDgcj/DFw5DaZVflnpl8ldG8PQgjHeodNvlga0g+0GtXwLfIkl1RcG2vImTVNeiZJgrVLzCqbzabGrUiehWfbCjUSy8DHdB0NUN5to6Nz+FG2v4Z2mvoRsNZJq3lnSvg21hSFUupjMTLJ+bQqJzt0Rk1M2waCE7ptCYz8sP/wAp0xO4RxfsaroiliC4E3DIxPKCKpo0q72Q8hS67FParMMmH+Cbj+DgodJMeb7L6ibN9+BVJnwLFiSfeTF8fGBKrmltCTV9lmGX0JQLA6G0dQ+qYmnRW55HeL8DTTzA4m6TTwXonofHofWE4C9ngRf/AARxOAhQ0IsgzSrKexsgmR/1/BXgTMVMYUVrk2oyESdNYKotNUSVxRjwxPSi0qJMYOdJXxg3bJTP+GT2eQqPLhlqjXK/Qm7KN14tGtnRo4mbc+Rtvca3litlG/LNCzkvln+YL5K/JXo2bb/BURmXb+imsMfsT7Nld/Y/YjpiancxX0NwNq87FptGOzsQw128mF6hbzd+ykcLGh2TQLZbHm0o15E+hpWE30LHWjzXL4MHjl0ZtPROgacJkEIhFYwI4E+yrsqfKG4AnWZ9eBsrVOjd4ufkwCW3BXMZDMir0PhEPSItCfFXyIPgHjAm5JTjkS2HfyVv9ToArsTKHhj2m/kIrf8AB5mJDyYbCkh7B1woyJqbE2u82z9xz8vWRxkP0f6IbEZwXgJli1o6XglNzzYTbgeci8P2Pb2U0qmPFcuENssQqnFUO2chOMF8oSpinp+xLPRm4EmzWhypoLKpTA+A+60PbPubf9iZWIME2UTfCIus+iwYYl9FcsTtkPaKVtnWxLMF5RR/sHa19iaO7eB5sdDYy9oMPH0L7TKHcwXB2C7IFg5QgsgmoHwJwVA37CRXxF7Zo0GbaGcWkTge9iHs/wCiylRSyoL/ACFTf8MZhk8JfZG08OFYxvRttZK2qWPNG2M8E4MbGQ9S3dcUSvXd2cJzYUyvw6JFqLV0l0jsyvIu9HjsdFSm0PqbGiYFVqwZDSr2JtNJfCI3ax20EEgjJV4fgSNJ+DI+RDK615u0bWRZEZVo2I68kdj6M+gYq5iXocLLDV1b8jL8DJjprS52J0XFd2PvMNTJ4XyjbcbNLDHl6mPDIWYyzfgdBulAU9iS1ZGZG4oTy2ZLTI7EJhjSjDPtK0OPQRc0xHzkypgfJvsiYdIlahrxsTSNsdcQvyZmn9Hh+xew52MPGDVGfbFp4K0qv4DpwS9kYdJ0IasC8EiEmcGJ8DbpfJwBMrA2fRKZTqxChYw5tCxxBM6KqaE1aoffIWx8l8H+4NBeKFc7A1yNV6QrstvZvYnsSuAyPRwCjOR1En0JUmXIupQ0az6YgP8AIRs0+zPf9mBrG18D6X8CmWp8lOo1dCLVYbyJI9p4Q3Qr0InkkeR8+TxybFJFdHgSUVb7FTt1kQzLQ0ydMgijntEeHPK6LTrY9VwNZRaOkx+AXghRkst08zhhPdMltpm+3CLhlX/0QgToGPnMcjE+HpmabeUVkwuxpB/4E9xIyuxwlvZ6CjWx5cmO2OnuIUIqDauxqFHzkiXLP9Rv5/ReyOX5F4L4Pf0R3VJtMjL5K+BQqD4GRPLP5PWDeBiLQqaWRjGQ55+zFCwaW8zQ+yYouxpefo9gkMmTFoVcizkMXTQ0lg0RmMP4+hsZ2rbgbfeCD2RnPZIGLhLYojRj/bG7nkLNcnaM4slw+RNzj6MarvdE768MTbXR4L5E+azQWX7HiVOR0Ddhs7dGUms36EpKV4ehrDf4hEnq/JX5gniissVF9lNfZC475bEmCdmqRXaag3xeUWOqYNp7PZkcmaBVpDCME/Qnbwhkg/qfQkyJnPAzz0xybzb5FqNGpozYmzLgm3KMqYn0Ikox07ErKDtpOpciJLcPZmqMfP8A0eCHDjtGsDQaj5IFaYisYRjaSvkRKzHIz0YodCG/A2WcCTJsJMjn8TXi/JPAZA3RMxjJKwnt8itbbPQuTXwE8oZUFZybtIs6K4ERZ/tBGy7Mx3KPosGqevgbb5X0eeQ28qFmtNIYTF0cOiH+gkcL5I9GvRojee6J4/rgeqoSMN+z4pXojLKxo5jbFlmjN4IK6GYX7A8HDTJbrPoSzsaul9GFZfs44wOtv+itqfYY3AkIqndbK0t2NNNpB6PO7XQ4WH/iGqJlbiDRN115NBU5KuWNMiKbCTku5aIpEV4P6jyNIstUWAa+DnZ8ldEz5G8lZV4CSuZzytdic6+Db0E6pC3hpGemkKaJYHTykZroWrJShEnUUWd/xfsU3oeTo4HOhtdCRiRg2xmHORGydehMsyEvuZNORpJtlKs45NhMl/ENWrWRPCYSfY3u0RrqpgUsSvsy530RpwFKomexjwPLEEnePwK/lQed+A2bKm+jFaG3P4HQ52xUqeRO6J5f7O+XsZIQlCvOfA8JKSWXSChTpIVwSQ70M0y9mPpY6F7r2ZMBT1bHyx0NKMpUrXGhMP8AI4t/DJ4tcCgu7/Ism8DwmIc/8hPw0NhZFW0ybYaLvIqlTJ8DkV/5EXZmO30LTMuhr0SQlfA/JE/g3IVdibg+DrK+ydfsZNUmcHBsLiTYu8XyctvopxgI5lgkZo3kqmxPpjZN5Y22JP8AyG0FROkaV/A2OqGagnxYP1GxD0Fhojo9C5sEnTFyaYlT5CXF0/4S2RwebqniDXB8CbsZYzsJgyDlwc31Hjx/kNPyhMtIoSdn2JSyjJYxq+QvRFext0N0L5cKWbSE3Qr7aEzJBJGNLKDba7LQsrX4DNmYhaiEAx90NISnQV0Rq4+h4UMOPzRsRUU96LvRsJNKXordCW9UXZRrlNLstGhehT/oewJs4OTjyTyfZCNXOSibVQaJHnI7vBQTWyv/AEPlot4oSQbefBOZcD45NSb2RmcEkNtb8nCw+z1y1nIsXp6Mdpv8FaYGckS/JFW3po3Zxv8AAvj6NmKOHgwLK8ZIBSeV5yYMMG7H6/JHjA2GZ0Mrf4lzo0+R7ONC5DQ0ZhzCu0PfgXycvwPYw9UIun0PHKHpD9vox0/oY4eBsP6BW/8Ape2XIbdsxbZ0QLswXfXj+FnSIoTBqDY3tRvwGh5tiFHJ2v5E3kWK8cknXilyx9jgWHaHWP8AotLBpm1qu4ZZgkpI4M3tewmpqfJ/ijleGY6ZyxPkTJgPA4G6VCQokNkq9FM4ZP8AGRdMi6ZjzowuzIotG/GxJ7yLNTUQt3KmaQea5WhjYbhvLrKs3SENr0YJ/oTJkh4HshryiUyfJdFHhn7MVSdmAkcEvAemF9jTGEKXoYXoOjxGmxE3UmLDTHlpiryckuhG7ruEU2z2hV3PgT8BhGVNpwV0xpR1217F+9QlE12rl6G2D1/J6P7GqmBNlaMWmzG1FoJn+PlfQ9IWhoJngex6Qk/idg4Rnz9GbyHpfwWG1G+bZAnGGKYzVSaF7Q+B6PsSnE+Tq/s8n8GTh2X/AFi/c2Gsl/JdnC7NFc8mEsNkZYL+MCMyYXIjN0ejJ+EJbwYaYrcSHkGzsE8m46/JXRpcwmwPlPyNYaaRBh35aE3GnUMmD+TWDx16GuUu8iVunPhPY0V8EGufqBuBX0hJyzgHqJJEYomHwf1w2xVbkH4AFmGMYiOWvobLhfLG+ML7G8GXjBb2p7Y9dHNxk9T7EoypnsbdKYj+MjbwvobcC4bIweRPQVbLXQ14/RsmjTkWmlRXTXKHiwXRVjCL4L5D6PyWWUurGhvXjYnm5KsZYpNsc4fBhrQRdoixoycGujujWPDgarUR4WL3H2TInIktpZvXBR0tW4J8U2lUbSZXAvCRPBVOvN6LJTTPwKObbGz7X5Ejbsea9xgrCmJrLmQ3+jgoI8Ol5E1t99inOfFLVrxkUhCmmNlOnarwJWSa8idjF+YdLNHdKU20Wx5deoM2TXkYcB3nCZSMn0GmqgM3y+wTSWZP0NN1PsVoJp+YtIfc4EI5cUqaLs5gxqH20MZV3rQ9rj5LvP54GzTXDEyb32WYVaGMmAGShR+YNH4uXMCJvzif9CniJSj+RgMZZowq28/Aj2FYvMiXblFdSEqVJqqwSJukFwFLJ+WRWUPbbMTEXFU+huEqeHsaj/8AIm+cG3yPbyZ7I9H/AAzd/wAD8H2TwJVGPH4Hk70hdw+QnQ3nJeL7qjq2Y9LZXzY/JCp7Q3nZG1oxwsdlG0MRV5aydLHdL4DeFhlfZCwPhA3QNwQpbabT6GQvPQ9qeT9NwIPtocXTWNGDDR5kY7Cfo8xxYgoWzgwFVFwPWtCpho7o9soIXydEfpi68eWYrFPZXafyUtr8icwRdDPgKbVH6Cj5c60mXw+0B3WKSzYpWwom9t0VTJJnkeF+Vgi4mPODL99BRdewaTWUvkdMeqEu4eVHlZX9BGm6fLUREdS7WTk08eA2YZdvAqbROExXrKfI6VseUJr/AICz4eWcF/LYb0emMGIv4qzwN54/iTCbsy3+xtwWJlpnZkTaWnuCcsiBm3/g5V0a+iVqwgmsa2xoYbAswdTBTIlNQ32PFkPsyeXPvwdUe69CuAfIhYEUWH5NdmOETsGzVURnBU2yhkPe10NFxaMa9hTShvlLgbKo9VDmOQiihDhPI4XPya6EeMsTy2d0s5HgX1sKofY07pCYsg1zESpgw42BrViJj/AprwCWtV4dGwd/jRI+uS2mx4u3ImoO/uBqUbGSGX+Hsrl3xYLi24mhtaF0RNSS8s7mvgeePyMtJdVRiGbv6Ylnn+J9Fbj2L3RcDZnoO7faokrl5QrhK0oFCESYyzN2g+cp42NspFwJ5ex8k/0Gv9BZa4IKRtvocUVLkcqV4jISHpiFCehip8QxARUkdGd0daddiHtpt4HMM3WxVXL0LyfZTbyPYNtuUoWuS+DD5b/ieIdhDdi0pfTF1DRzJXcT0amzyNTH4EvAgNe3P4J/4JNhUPHPAysgTE234HBYo0oyTNtPQykyjtMNz6LoJcmVX6HfF4MpMdGI09K/JpuCSMKiumh1yJWOZZj6cCwnDJoOjD+plrUvgflK4Ke8s8jE/AwzQRQkTjI/Kops7b0GYLDedCSGeWa55fA1+wnwOdaNhMfSCNcp5aJBVhCMMn2UDUvwJyLzoy6Q5Fm7QsylXyh9pegUiyaOJGLewZJy/O0aiT+zT02qsmUYxKEHw7EPRUJXN4xOCZoxKWNolngt7LBTEGg2kT1tYo6ccVULZtkN2K/Aqm70Lo0WsnI0k3k1zDgTrgtpDhFf5lf5kcbhgY8jodeX2Q1U9jbtNY26FSRtaeC2/wCAmEUNpbEy8IyKUaZPscCM2vgKkvLzjYxYsrWxy3D0LDfAibGloKNkkG4Ubx+h4Zhb2vsmob9fRMZRUN4WjjRkwPTRt6PJ+TFwPS1/DfkX8LBVIcBkjSHbn42Izn8LyIH2ftnaJfX/AKNniQs5bOjA3ddODojsWSTP1cD0VTz/AAeLKLkWj7kLEkbyhmOitBlTY+UNyvTo8KEZyk1tPtDqxtcDsE/mM0j5O03zArKmIs7Bv0X4FOzAT/5noz5mXODbsXPKFGx8izWWDGPJLY7PtBqkwRTxWYNzZYsR2aDxx8H/AMjWq9fBHNwN5tVNJn5FlgvhDRyq8imxluH9B0iULsonYStd0mU2OBodbdGidSFcmJuCcoxydbXo3Wgo1FOwRC22WKaXUycccFS8x5Fc7NmfoNNpJ+ydR9MFh9doThaDJIXMn0JRqYGvDDeFk5Zo+iR5qD0jkoM7Yd4F4FadHxR/Bwilkm9NC08JNi/7EkXEs8LSKXc7kVrAaXIb0hSNipyul9iu526K1G/row8Bu85oxuNeMHOD4DBnllPtHsaWGJI3nYZTW4qvX+yfBk/P+yX5OTCDf8QOglRaE1EtVmsWnFY3lfz2pxwGhaQ9kqUFeYKygmRfDZcrL6Gt9G2/sO1uNomD5DuE/AqW/wBDqf8A4PSKL2MdDa4Kuyps2/4SQ8JcmzY1RL2Nvtle6y+TbRpgVcMo/wDBxTeGjFtOfxJK0MVS5EhEGcVRTxk7f/DOVD9B/wA0JFxwM6vCla0ueCjiuQVtEJsziTr4EtkVoyKciSzuD7F9kpuWEU5GiIsnMnFY/gkqlNktHvDgTLWeZBWFyRhLjBfLH1uL8CEMq7/A8iZLWC8XgzP9MUpp8A1JfcJYTdwRJ44BS+Uvhj+SBx8Ihn0GNkUN5Fr/AJ/4xWekr+GN88BbRLYsldYYgayfiYK/yLy+BtjKu4OBaXsZG1gZ9jXLo2EXZGpXRyzcGOvybRDStMXOyYYI4XVPBwJ/hCXQcDh8idig25Qg14pMnhiGj18EXKf2KdMomPkifkcd+TA53Pgvh9Hv9C08iV4Iy7CsPaFJ1BZtdj4LC6GGcDplryiuOCkI/IgYjrRdSNEx+RhJdaLFCaN8vQ3/AOAtN/0G3EOJp4FYqnJyYvWv4pwYiJT/AKxI3WxNDwfP6RafSI20w2W3oaN1kwZdF2xHC1hGLyaZ/kbwL7TMBnQTbmVj2Qaz0Nr/AA9RtyVBygsvVfodVcyP1ib5ex436cYFHXKEVujWdk/g4hriYlufyR9/krv8nl2Z+8nuEBcTgbrTjowP8oV0HAPY8hoFQqtyDNu8uRLeVrOd5IrgJKuR8wimVgQ3EuOyRS22ZAkHs8EdiXIcE3RJMP8AA2zmp4KX/kRu/g0ifIhUzwOZlMPdL9lXH2EgYNQaL/COSheUZBsqoJ7ETwflDy0x5HHN7PpGV9dizZS53Roh8iOsiv0JczLgg+xM6MDx+RvKf7C5w0OmtnJ2RriJifNciqMgtMnl2YPXLdHnt27Ln/GzErwMy5G5kumXBmvxKgHtn1l/Robr2aE/EeDkJEJ0bL8EGNlKqClEj6J/sZRe2j7GR52owLCsvzoRso9/+nIhLoq8lc5HVuRVvI2vJhrkUv0KcrwM3/Ai7a6Msnx0cmG1wn0zC4Qcoci0sHzuxYBEtvJCRRTWYLg/IT4yvsvePspsruVtDTGHjQ0dbSCwrHkVGPXk039SHAmkv+BsLIbmv4Q42tHRjGxk9sU4VOTzBw2R/ka4LKgqdRXGKMoc80fCf4jBOn5ayRu36HysejBnBBLevZrTWxvseTQ8Opqj7EVvcGs8Cw0hXUVfBkmjM5dDaTDJUszhJb8s+EF1WiJzHFOByxNb/Rz8P2O2tdjto5ono2KzYn3i5O7f9mD+ptCjJRhLBqWdpFKX+EreEeo/4BKkkWnmeCTgxtmlR6Y00NXuiarqwV0xBGjphFhPR7GtVQ3bsXGx0Vcplbx9Cx58C9vol4YlrIX4D0fQsj5X5G1MK+xYGgmJ1es7MJp77OFJsroJujKmPyLD/wBEijGt3TJ6SGVEnRF5FLVyKE6w/wD4CxDaylbbFX/o7CbmYaKWHBGvLmxMB56Zd4GSLCZk2NBNJ0c0ifYmvs+hvA208Dgo+uBa0+jGM16G18Gobdz9oc5fQU6fA3MWTI71M7gtMNdFJG/gVaMf0iY23RN5vAsi8ZMp4M1imJ7LLeqXfkbf42J8jMA0/pgTNEIJ9wjrdH4X/BuIq5/HP0fviNJUbM+xIQWwuEFjIZIZ4UMWfK0LKbfKGebYmNeQmDsohbrCir2kIuWf0CMqqhgmsfka8fkzCcKXwNU5QSxpDNp/ZV0/hiTV3o5LVbyJywGs9iRt/Q5cv8HDP4Pd9Hu/oSqWDWkZQnaix0StqDG9zTwOKizyZEYX/o6n/Zibn/Q98mUs068Fw2Pe9FlSp2L3JfozixrGhjv/AArfRBl3vLHdiE2/xTUli3csSPmBKW36JqoErT+CaVd5IUdQxLn3gTioxXeBkfVGqp7ZFyMCyfeR4bagpTolqe4qqJhULJFyJ1m+Rczo0H+vo19H+zb4H737HwOvQxaC59H+fo/E/v8AitVFX8cvR+yf7ejf+NJi/hReA2DYW/zP6x/lFWpsvBjVPpUqtMmzDLrPouxIiUSYt9C08L5LzSL6EwoYjQV8jqNUgicvyGLDJYmjF/6Hlmi8chzZ/As7L9s4/wCDIaccxjr+KPkBDaLlso1RL8mqpfoOO0ifBgVfLK22iwRx2w2/sQun/wClsJfkVHIcwg2Gk5tip8IsJrZsJEnlCe71lhrOYjGCPDPl9Ce3yj30CLFXNLpCBRGZf/SrB0OcH2OHBW5WIZGX/B8iu2UxknkeBsKtH44sT/mCUkd0FDK2zm/BmN+f7Fz/AN0f4PL/AIGXyGo/4f3FsR+M/wBDX4De8mCEin4DNfufs/r+Xh/xx8mP4l+SNHs0f7r+Po/f8HBFlPT/AIK0LtCZQd5GvNlby5wPxDJ7INJtOm3z/wB+h3MFQ8ZRYUQnwrXI2o1ERn94/ARMSaQcmiG+NMC2tjy4Z0RYyt2JcD2YHNncG/6CSSElaTHv4E1Gll7RicraEhNr38wcFybfY3cS3gmND7iLs1ZUMIdGYDI2jZ23R7ihItsMGI3Qx5JmVgjajr5GyH4aGKsE/I3DrB8OeB8t9s4fH7Gsv8bFVS8Uy8B/Z4je8iU9jLPoX4KL7Td2jQ8n6ByzDaIGYmQTsRLkoL1wRS4gp9IxUiZhaOxFohNpwNnwYNe6OYhRvA+Dn4Fyfpf6FH/IwGC9P7EHx6Mz8jG9+X8OR6Zyi99kxnZ/b+xsL2xk1MV3OYX+9fxGzom3TFuEUU+VH8IX4N4lcy0icrgXF+B+gzX3/wBK9ClLb0Kq64+ia0pCPAh7VQtV5GVsiVzcPI0b8HqYryLy5hgd2FTZ4MLyxGTX/LFOidjB8L27E8RP9oWUPTTBOSlStO5Rp0zbRLPs+0Em2NrcQfQyykhUktDJzPApktDY30vY1fCmDSjSme8ilFNy9CZ/ZoYiTvf+yLUtm2jCprSD+w/6fs/Bfpmw/wCHpnTyf3fs2e1+mf8AI/cPwH/E/Z/R+ONGYiZeYQ2y8CGTjTK+dCxc6wNNuguUdTxRJIMljka19/2Gz9o3eWbopT3/AAlYuT9D/Q7ThGC9h4Cex/diFt9D4822U18o9nJx/DreCvLWIYf65Gw/ljsNIoj8DXDij/YzpyLtf/TQYpZ9Rx9/+MWXnVVT7JYyf4mVLX/p/v4PxX+j9X9nH0jYNf8Au/4RflOP+4HjHox+Azfy0KNiHT0YT2/2PXgNT8fs0Y/IGSji/wB2Y4f7n+J14/xC35BLXlszXk/tFLFzTHpn5BueihajJViPVLYlzf5Nss7EryJ/owacT+xMPf8AZ9z/AGcRCfwj9m/wStv2/wDfk0+TBP4MfR/RyWHyfo/Afv8Ajv8A9yNvgP8AgbaPT0/0fifxqZOYZMBTYL2RSmLTaZlNx0PLp0MXueg+GvY2fgZ68/xJsWoqomgnSgwY1TYv7f4Qp9j+G4wwaPhmGMnAymKjE/An7BOw0fQy+lNnehpV+RXEPGzOPBhi5ZiNsGLFIUOC5lNj/j4Px3+jn6/s/qbBp/3ZoS/IcPZr9GvqP6Tf/GfqP7v9j0d/r9s19EarycEKrR7P9YufBPnwbLFDPlY/RFi4c/Y0ODAXvPOf0U6d38M/I/8AwwkeJW19itnM0Y154PgdrqH6ClfiP9mt/wCZGS6z+hJRbR8fwnP1/SPuya/5wNr5g8Bn0cv6G1lxgNGonuPwIo9VEd/guDDf+HQ+Pr+M3RYgYbz/ABU3XSFuYSezkSw2c/B+RRI8ocMngXkofJASmaXmCRdLLMxc7NGSXNjJs5B89i//AI8iUf6KwXUKMhNyS9JuTZRgLhiQ9CwTeGMMsdk8oeg2fQ5f9ob0x/ow9H9m3wjZ/mzX/uzghRw7OH+4NHo09R/WN+P8J+k/s/2PXqbfX7ZgzwPKckxFS2lX6gnccGSivJaE3xqsHJTO3kTjPl4maGUr+CY29sWVFSWLTYXf8SWgsVvnBUIca5IU9CfGnEFdmZHuYHiHz+w9t6LrRmsZs78DSZcCrk+hfxuXp/oS20N0211s0ZbuCNoKhxlGJl2MuaZJDqc0uSq0TRlGquhrLLvoRvyoQ+cTSGm/IZocKw16fxaik4huZPOhW2ibwlyPprY5JJxge8idE/hk2Fmj4zB5ljlHyApQxYlY62xnIlyJaJPCMHo+DPRGaXBLOdGfGq0hhU2tNEZab5ImZRDSqvgrpmGhs2jYVtcSq/Y+RiBbr0O58oNovRbuv/RsCfcDCJJv/wCD4PcKeyDZLeUW2Sgq/KnHOBqnf/o5M9jy76/ZbnwYR0Sj4jNMjZR+haxhfkTWk7dDFpRJgcal6N+TInC9jG3sTsP/AAN5EEjGJfPo2IW6GVpKPrdF7EpQbar0HMjysGduOXpNFLbY8DVvoXgiUm8swcWvHH4MHN/0fRmy6iNDQ5KnDgaVORLwQij8BLwx2JUnTfnXoSwnRWzwyJ8G2RZQUVUfEp5LnBqtI0itUXsdxFGb6R51x/wibNotwMv4tNiNTgRaC7Dt0sHhLnimD0NElo9DdZ/iCQxK4kJBLZhXyOkj2TMESnll6Dc5GHw2MmFUuRI2/I1e2HET7B9WDKNMKT0NF2tMcXnKJDVh1IwNE3tCSnt7Y3TZ3kbqV9HNvZXT+i9CCbK1kyUybA09DyrNRjF5/jdfI7yB02cmbc0mHLHYHoPHvCh100lyPoc76OiTSiROYbVGwoFRexWXz1oo4TDbSi9B0tGDzy35FmsNpabFwr5ykeaY1IM7pEG4rMjR2C/+wRUu2qQGsaMV18hNFykXkiv9hqBjycsv6HpfoibfoPTyCz4fQ0U0rgpqr+BDeC/NidNrB+Sk4cvIrdiy0fmT4MJz+xcCZEwbkJ4PAnl545HwRTCQv8/4uBov/IyW12jJnswCCp4QnTL7FYr7MBs8rIhbYbk2hSzsdWY2rpO0Maq1lFyx6CyY2f6IWHgiPAjIns0WjPQJKknSW8oRbaA7m1tH1BWThc50G+HZb3yN/gN3tnLB6N9t8jaiy3ovI3odcDOGmS4RP2NMS9kYjjwJsAYeEIJUc/4DF2vkim0TeUL1G+hN5i90pLP7CkvXgwRL7H1WmSw2WKNwEl2vJUodqRhVijXkQcqJL5NDlhN1+aaMm/AmaUuqx9lnkXobKXyH3/Yrt6Lv9I9Ixe0BOvb0N7/oaYwZ5KJtCEadiYcAnmZTF9El2ZbZ7WxrNXBjWksP3gc9HyT/AO0YN3zCGcsWDhKfB8unkylnD5px/ez3TT4XWS5q4E2pHH7wV13wV02vySSMJO/wFDiZ+8DY7F6FW1ye2ZtiwwxyMQUbDKWvI163BsCPVMhs/wCg3vN+D2/Bhz+Diz+D4fwvob9DdPoHisYvAZNlN3f+IXN+gpdfcvT5svj7mIx8mf5sc6/I0v8A0J4/fkS8eORa29C9hexLYiutMkLG8hbOjjTRN5ZjobBiwYzliaux7oRYn6MSUNviG8tNwiuFBY5G1iwKbqmKtBJS7zQ3Q+zbenqjXWwSX/gmSIScZjXge2Ek34hlRUXoeBssEq/Am3b+z4f2NM9vs8MD9BWr+wr0HSOCtqiRss/LIGGTxgluFUlmttFpW/YtTY/2DKtpdaFVJfFK4pDFcYnitD2XYr8mtFVyuBVuLAXwkPbLzTefMbLpP2dnKj2GxVs1rsnK/N0KWto4G8RP8jSNbY4FjbTdNjYCKbqXI9OLNYPM7RNK1gUk0s3k5ezlh6eX9G3z9HE8nyaW/wACs2htePolgrvjwOUn+0dH4Dlz9Bi/sQks60XP/oyTVREpO3gbPu1sqnONj0cZPycNfZM/9H+KRf8A0LwvyaXQrexid6YqJZR86KcnX5PkcsfId6C/2xhXyZPAnkK3bPPDpv5EskEYjSE87fQ2+G6L6j9D9GDeF4LWgErYfCHpyYGsskgmEklolJ48uhsrRUaVwtiKPJ6GfQr7JThMvpkaN5T0PUT+0JLrgTjLxo5ToNJlhiHlyTbMDnneiE15Hk/wIXhoT0/sqNM3RrOr8CdZZjFhVPZyxsyaEfweFDM9ALBe+t/InMJPRUmW9DdeB+LkrK/hZTMyKZizOZkuOEfJ4BPf2BS4P5HTqd4mhrThoV7OK/YpnlsbyJsfJ4dvYish5MMktpzyJVpiPLJxyZxsb8selsVv/Mymq2JvmOXLa+DB7L4Fr/gyeWOAwySMybG3R5MnC19EV0+hJdPoU6jehll/jXNwZdEz5eT4E3SE8L7EuP2HpaOxNqYZFYJ6Mjv7Oefs8r9mc39nP/QmXbFklVjdpLReRcqyNwMq7gaGmvKY8NQlN/YmMUnMKk8EwJicIVppplc0ixmDoyoV3eCvPTwV0vorPl0U+CeSiTuhYu8nUN48k6Nyh8LdUb6aRNMDu3qnnlDfyXjOR8NfJsO8OYFtYq6fJjJQV1D8unKsrmJ+zC4/H/owp/ZPNqPAjJ1qwOfa7QqydegncMn7HAlb4zDt/eGMRHGH/wAQ8UrLTGht24ebkb1rPeRO1P12SX/cCTb4uFZWBq+UyY3FwhbCaOXn8jWXn8jQ53+TjyyxuunIw03m+dldkwzryJgm8N9lN/7DLdyxSPyJtjQ064Mbxgru/RMFnAaYTznydTacD15PHgopmWcE4LnoT4Ub6K6fRHyn0ZNKPhEJXs3PQ+umydEmDlhEy8CY0iLocMILDQaExrjszm7hUxmV8CUL5Iqqx7JquBErETgvyJadmeMWPZP05wuhonuqzKyuqdnciz4G63+Im5tfgnmfkI//AGCweUU45GvnXYllkXB6n+7E8MjenyJYeRp7pG2ZlbwZptsS1QZpEn2khM0y9Dp1Nmp8iVlZ9oStR9w/+rIl1vwoNma9qO+aS4Y24NN4WDHDWMCm1bozKs9D8JJdTgr0q4eBu3z0RsPTkWtVfk1YZ7Rg8kZRYfQuUfsdpGn4RBKz6GppOkjKwYdFecMrrwxvBfZFytaMl7Pk+Wy+xv39G3mi0aM+TEmITT3fRtm+MCdsfBdz8BvhXwZz2PZNI8O27PcFATnloZVH4U4eZt7a/gr/ALNhZKtOoWopPs68BultGzx+y5/0Jrp9j5k+xNNPsbdr7PMtCY09lDYS/Rc2khiZRRpYHm1C/wCQklesimCxukU2NbIeBqHAdwaltnklL/jEuj3EXJFTyEsDl3+TRi40JnYq1X6En0W/Bff8VXobcMj5pkVhXRNiYwKeWTAz/oStwK6z7xsUnPliUeqxso6+CI02S5UFBlU8OM1zHQo1pjWHa96JKp9M2soaEakLvJh6bXITP+nSN4Rz2JL4aF0Q0otCrhI3wMXkwOGUhcEti1aE9fxViqik8GjkLxPlobzv+TR8kzoc7TJLs5bg0d+DptFr2K6KLfsJr0YLY2/JVgbyxPKyvx/GKPh+BP1+B6QuTFD2bClcFHeg29fAhttCrp7HHD0a9gl0cP7Kan9juTWFbIuJxR35H0Jx1WJVabg0PYUvab84RwvQWdcWMpm7NTTBtEApDiFFyfMKbh/BB2TsVOQjc/AKZpptG00NXDd7GjEMml9iSbQ07YRwaRlZnyPyE2JXL+ztNknljnqrUgrkkYrhVWJcfgGjboztm3/gpeDHsU+aPwUbyZg97OMsud/llzv8sQ6TDKI0E+WIWeEo3Fpprs/2DxTd6XAlthFyEyk5j0xw41+jHD9CwmxJ8F9mzqEldDWciXjI1nBwkPehevwTyEwq06WOilWeTB/wyOpieyLyRxCTPMi+iuE/kQ2hKfkRKi2NIXlknehF8i4T9DzR5bePLEo8ngf2JAed/Z8xaDT2PtnyJ4brFpkNFyzcbz5HU8C3fvsMDbJUU5MczXoh4+wY9TpW+BsNowa19lFx0PFrDFg8LY1vZdqSG8oNZodNuFdBWwsh7JqT6Q0fZ4P2N+31BNpSLyK8CjpchFEqHAVbwKh4MwTTy2YcluHocalg9XB6+BYcyJYI262JCPRdtTH4HZnbG5W2pH6MQ158eiiRrRI44UeUI3qagtojvjn9DTTZMjnWDSdfI2LDyhpkGBb+Dif5Rwxro6srGfkWPHWRvDeBJEEcij0HdDyhDEHWVU9oYkLwmJFa5FLtDI9iwGJXIKlNNpRPozauBkXQIWpXKZhrFWJpofppF3fRW12gpNdmc58CTR18jT4Mn2YZk89kCmsZK2xlVqZehtciX5C4OaE6YFHTEvv4Hy0TnEJb5Q39l0jOhPX/AKLgf8DYgtio5GM04yibCwi426LwJ8tKit30JiRET51pYQ4aZTwLMsQl/smQm7mlpp8mx8jOjbO+fyfP5E0E3SEUV/CbPhI8lT1GrWPgaecltZopqTIsBeAybRnFySyuTKXgeHpHCNjjj+KnEFhyLpDmrO9BItAbMv4tl4/iMbwFBC5eTxmAE25pB3IPa5Mui3sehMPfyNsNhU2Y5pmoaw4cE0jOB+h/InXTwNJ5CiE3Uji8ZFPOC2KLsK76HVX2f/hQNu0hzDl4Mi0HNFa+x85lkZ1f2MiRe+GUaUxmGGdb0LF+BkXf8ChjkPNRDrgKrtmDJsulS486LecBNKnRWitIYm1U8sTstqKaJJkNHadkNRIu8Ca8DlkluFHok9aOh4JcFDDhBn/9PD+TBXgZ2kkrWJYk36Nn8DVGFCqYdVTRTEz5NxfBaFZpNDrNYmMWk41qF6HDPr9CdKlkUCbrGISr8DbRZ9Cnr8DLljhbMn/B5H0Lyi72iRu6ic0YeL9CFdguivobLAq9i55+idX6J0f0NYPPZM8ay3TJL+BI5rj4FngxxMkfTFtZf0PxROrHVo7TRjEdVj4G8tfI3l/sQsvSWdYNhg3M+I2czY+Rk7LLHVe6cLPsTzTGKidHvPR83sY36xhttJ/BOkmr0PHX2N4R1lD6Hv8AgpvZegoReMipMptgWfL+xZL+ytmiaHkW+iHmjCDQ502eb9Cfv9GmGxNdjyUthvZqJnnZQ8smUoz/AD0f4gnRfwKJp6alEnlA17u+BKOMjZFjT2Jf8Q56PfDNkCJYcS2lyMQ230ho0OlcETVIirXISPWy3Fg4GJ1ohngNi47DbZPsXiuORizENpYVoSbrWBj65uy28wwIUIVEZSITrUuxv0siyf8AYT5REeUwaaT+hejaLFCxhN7Mo0lGIzSWyB4CfU0g+yXRkeF2WmGGKuloawT7MHtibxr6EjXGRshcRHJoY8l6EeJPIub5EX0aZl8iPAV15f2R9v7I4ztP8Oev0L5mAWxPDGsMEzx9C6x9D3yJxocvTLjkshrfJiOUTyZM+Baf8RdkV2/5ZCt/gudiRuIxIxMYSh85Q9aXO/wJ53+P4/RHikdWhkXAzOILo0Nbto8yzlIrp+SpyFvTNjX7NdPYexP5WBrp9EbTZX2vyV2vyQq+Sz/6Xkij6G32VRG69jqE34KgznZeJrwXmoXsNvAnehexngVYGvoWlz7EnTTMG39lN+H+7NKtE7ceh7yBYLtqutFSbk9DXhEsDVdETgaQ1Fpr7LvCFLOFjvkbUK8uRk56yMl2cHE3DJmvAp2OGGVVYCmNmIDSY95YEVxLlQhcjSam7KIyLIiVzoXkYzknZfR8kXaIPyG6PBF4Iu0JbwReCBHgSNhgbsJc13IOTkNKx+TTj7F3c9jf/wCjTX5PUhIq85Gmwbaf8H4iqlpiVrriHCTVdF0Mq6G1g8wjpk1cS8CNt8ITvJn0Sx6ocJOtrQ1WzbX4PT8HBX0L3+hSrcUeSWzMXyPfH4Fnr8F//BkDfH/BP1+BkzT5CrnQ+oMzTPX8F/5CfOPwReTJ8oS236IotJ+BIonk1RKmju84Kchtr9nHAyt3/Avs9jwVWBeXwZlg7LAzTl+gn5f1/DyZhg2qbMbYqSGNP4PS/s+vs4nPIp/9jVB5BOMBtLksZYm+xt+SvyJvJktDfuG3S4P8wbf+FxwJqI8zuDyJYvYpcI0246G7eQ3hhE3aN+PyJ3QudCeG9BtTkXwcDfgTOmiKWxmlDwXqbMfi+xYDbZG5043di9075DVid9iSBDIlweThs835P8yewXLJml0dHicyjfk9hZ7/ACjTf5GeRzD/ADI8FsTediiqbwObJmduM4D8/wAlv/0udMzF3kdg7VU4n2KoyeFBXJ1eclo8pFt4Tc0I7kQ8TNNCYsENouor+RdEI7WjQtiep0ZYif0qWsUoNngTnz9F8plik84NKPgqukaDnY0oiLomBMDSEsCGsk8CT5ETIkfBH+5HlgacPsXz/BJidbguF2PhcFZ/8DueR6nI5/g5E3eGdnz/APiqpgXQb0FG+vom/wCn8C8vyblg1awQwGPgZpieBBP8X8EUKuPwJpWN6scDZv4d/wD0yJ6+jRCxS8Gitg7EJ+i9mkM8J+ITJXwxVob9sQrMvbEzmSH/AKQzuymqwayJK5Y1M/oUjtC5s+kNePldCndvRgJvC8E5yClJSi2Rk5ZGZ5SxgdsV0ULJ4TI7p0jTgZ0ls9BJeDvcDJMjc3h5WMCc8bmRdV9jYh0YklZtDMsqGdF6CS6GjSvZV/8AB1UidBTNfyFCLwfYh1nFdCHJDTsaE3wEi3kZlEN9jMGbkr/yPI/yIVtD2VpJYZf2DHvPRitN+GMdpOJbB9yeNCGS450Z35Bxil7F7RGyKNxMapv2HnUDm4uMvTlwWtMTs2CeWj3Jo/hDy2JOxY7OU0KOv7MlhQz7L7Kre84K5e41WK/hC6fzKpwUvIlqqX0NZp78rRjS3whmJOrpeBaW0JW0cM2GMpYhc8n0XIm08Uhk00Tb70R3X3FvnXJE3oMlgOOJLI18lTQbbiHDTN0Nugu4SWGzC9vI+piRwIhp38kXsLalPSmDt0MqjB6Rxs4GZoJk9hNWmyuj28ZElXjy4TEPx+1/BO+KjAOpp+oZEbrhowSbn4D9QnbwHDoa5Gy8lXdG8vH4Gw/4ReD00N2OEGZ4wMlX4EN89o7uiPfHDLE19mMbTRR0NOOQzuCWqKdyLabo0Zs/+i5CfRL5IYTM+yGDMf8A6G72+TJIXZkLGG+yK3Ye8/BVzsb2/gkzr2dsPTNIr8si4qcpMS1ovbhwD4F3U1H0zFUbbWH4GlM16oiznxcCcNemj2teGYLr2a2P7MpOBJ2q0+mW8nplYKWNpUzY4K1VycQiiAuZLPKKCaOZQ5Vs0JQyC3QaRqZqsMjMMbR38C8Y/A75iblvfgaVrxwxJ5DKq0PBd8GyiWd/sdRG3/0g+iVtC8NGWwmmhOZwI8KGEjwOHKfghdHR+IPRmipHyF1SYZp/BiE/EzyqIavovA9pXn0VqvpjhT2x2NESYZKDloY6Y04oiZ9iZEhx5EnfJLez5ZD7JhWyFVnsNmeF9jWXj7CUbj0XOxnuv5MTLKmB0MY2/sSmqo6Q+Ste2LS2vaLxkuuR7p8Fdt9iScAsuhZZnoVbKd/AtDb4HW3gxfdgrRkqy09LArthzsvkXRtTtCXJxuDcE/cVZb+xMu9HnAmEi1YbQ9sg0uZ0yXAYfo3UtmWDrPA+dF8G2wv0GcuikqSu2jWVTmhKyxknE6a5GiHPlSImIwVNC8YD7GLpN5amhTQa0MMdQTmpViXg1FkQ2KZPdGPJtKVep9G2aLx43kbjHqND3J+TrT3k7lgjngfP+Ti4Cc018ndEcpIcat7yR3XhM20T9L7HeBfOhmw/QZttN0a6ylhERnYqiwiTsVwaeomRxPfOjgM6y9jzlZibCje6YcLR1kMIKdirsSE9DDRkSRqKrsxBGb/oOjP4Io5yNvfPQ1Y6sMML5DInBOaQtGUVVMYyZKPfYxEp9oa9S8wieF4MlzXghwJnKnVpoZZ2HZEkw3sryHQg/ErwOSkIvAtYalYy9pZMA1E8ZQ/HnwKbh4ZJ/wBBRrcuYZDH5FUKlE9jvuNTwx5wX/0ZTqSFRmpMCNprfVKb0Cf6FyC+H2OlqYUtGLuNGuA9LMPaibD/AAxi8k6OGjbYXm6XSimYz/bPgwXLwNt0m8HE0Y+wmlDWlFoP6Gkk3FHE8myj/BGmk0Tyl4Q8jx6QvBz0RrX1FdZec6IjH7GFJN/AhtRTGxRfDYz6F8Aw/P5Mu2h4Mm2z7ehXNsVOxZHNcmXU+Cuy/orsSYM9LbeDlKCUjfb+h5vL6LWjGx7QoR0hyYdMCNf0TZFyN7wJvGSL/wACm2p0K0vuxOkPyMl+wVu+kimrXeaxPhS88GZx9lzM3pf8MmfqQWwr7YtKDTDYJTwRRSeRE5EfzBNy+Q03gcYyNxV49sXI6ezOnMfI045Tu4Oxn0WDNYg4Fh5o29ezI2qkvJy8ja9DbJj8GDqHcG+Zi1ME5JjWEpp2ez7Eb/wbkx6Kh8yvQmp7lCKux/0Wno24Hk9CKZIuEiYWvsngNLoSmAvQ0JYPJk8g8iGjrx6Gn6G7MnliXsawtivkVuyFew72MtrJmsGgnn9nz+/5p1U8nts+T/hSu7LyYK++P4Zmx7SYdd9i3wN6aGFhjwVGgsSqeht3Z0ZGRcCbsgtbUOfAVXMeSsdj1rRDTtE62O9nycP4VuyIwxG2y9MtNPLElccKmSUSKVRtmxe32MS8u+yzU77HN1vlUwZa0U3sJ3Ij98kqGl6ICUjlCU4c4fJsEQ1cIT7p5NrIrqteCuuhC4TGHsUKk6hia2SKjRpeBjSh3lkBg9/8GjjMpPY14FgaYhey8njgTrAyvKQajgreAsMHPAiTA0DQsd4OPZfTNTSZXRefAocYJkhsoy3whZpnbyU0Y1WLzcmr8xddhNc0rJvCNhcmFLkXoz2PxfZ+GmHqTVZdmmWxMcS0aKbwVSBtKhbPBRGAZcHP35HEQvY3Q/AaNnku6Ikj2dknnd3/ABzahmZMOKeaFpafY6aDYN4ZL7FkLC5GSRi8y9Fek4U5keGybye38WfI1wJHNIRtyCbYOMYYS0/AhLOydiHrJuWBCxeRVVhltHQ6ZLVE+H5xLnI3vP7PmW/A3oaQvD9DznH8OmCIXxJwdoI007JS8jDIfsZlg/Bfatx0EZ1/gZj4287GuI2ZcvRmvI5LJtp+B2Yeiq22+i6/8ON/gyZf4Lj/AMFwOroSsihi5klMK68i6EPkPIeIuORtSTUZfX2ei+x6WBPpfkRer8lP/RJ4/ZVra+Sq577Q5j/pZjx9nC/zKXAEOYm5g2LZ8DkThvXK0KyYJpG8CUBLNKO7dpKRO28cDNFVdomQ5Ql+QiDaxpmqnsUuEEtFgir4FgOKP2Ubvkxj/o3obp+5tQyeAwLaY5tPZ544XBmWOdCmQpn/AKN+PyJv/MwjKGyRsTaGNIXS7KS00X0Nt1uC9IdPIvoy/wD4cl/BJpY30jP/AFE8DDzjoVDasTeN9HWFVRjwxNsJfo8Hsfzrs7JFchM8fgaxz9HMRmRonihNKvqOmfkYXIhPPRtt/Z/TszePstxcvRs85Rnx+C4rMlWXK4EsC2j5/BmLI54PY/CNdL7PA4GJuoaYrNoV7Q9JiF0GGzLIlyRe7vs0R6fgf4T+PmF5xyxUNDLG200Li/oTWBDf5D7Wfc9HoNtDNUTVxfwZBW6MtuZIFzk6/wCmekO9L8fwQimMt8CpaYeb+xHcjC5GK+P4Ip8IJVI4QbpeznUa3k+CUbhcjeJ1Riz3sW4WHkzmVnodPMJD/wDDXm+oLe3zkWX5XkwxZFAtlqkXcd+yKO8MZEi64zmjz4+w8v7MYbDwim1Dyh8JjZZZTV0YuTDdQkv/AANYy1rlEV+zQvIebQpxFreCnyvkS4s9wouxNuKDd/8AoUT+xCWA2Okh+BlpGHaieBLGv4BpxYdMOyh4y/I9S0K0YhcyK9fQRoF5/QXn9BppclfKZWnRyUM+SOfB8MTJrA4355o2fGiXRk9vom7f0RrkWuSnhodGJBBjVE35KcMji2Py+ht/wR9hXyZaM10eHRlpfELGWhrHIk+mNun8Hoxt0VNCUMdh7rgfTJk5c7Gw8D4FC0Hkdcmg2ZRH74PwMbcZg1qspZfBV4Caiy4upPPwOrmNj2aN3gJeg0jf/gQnlBtNuP6HiUaME1mo0Itqw9Dwi+DyX73PY0tubE72Nc0uYPDZE2rJxTDVfkWA9SrwUjtjecOzo8CYg1diUSaTOAnuNldoSmGmb8nYFFK5GwwWxtjP5NB84GJMLQrRy1BJE02+h85yTE12SvDhzZnImxv5ZgW/sj5I0Za5PT1llGdoyhO6FTkdm6PUMs4h+hW94Uq+RaK5TYq5Sc34EwvLkikWokQl4bG2ESGvNcFiXPIpF3NLwioJrkT7SZDv4GTbrehpMn7KzQ4fx9jXZ7C/ga9DTcsYMkqIXQ47KdpMVOFKumWmLbHtCqRLyGbQ34+BbxMD3wfsJpzPkrvDyJKpswdUy7G5ZeTTDbDJEeMIpJqMoyzCwNaTRk3CYCHlm1srFSf4M5Wklp8iX7uWNhvam0IspMc1n0W8tTD5PSYn+Btz+UInPSYZGy2noYXAZULhsydq0vI1mUTWTQ7ycmjobWUZ7TwVyMhMfoOiwqS6MK2vzwNCay8Ioioa3GUUlvdEq9jD4qoy0qVg0xVNhGmKtbI/Arjz5NE+zQoKHHi5dKEqrAm0x4uFMtH3v+BqsHjyM2uG6SRHlwaVKiXMJogXLz2cn57P2HRpM9l4crLCxcKUc4qeGkSL4MdtF4VQrgad+C2KSb4CY3wmCYx8IbWk2n40T1hxSNncTA56+GxNJy8qKmiY9pTjZPJhydA6YElt3gs08VedFVTguphUHknRRWljtGGafTgrZpdmJI9ENa6MT7ho8kJvtmzOIv0G3Nj/AI/7Bt9jtvLYz5cv0bfTT8CzTpCr6DU4/wDBMCKm2bv4b/AuTZ6/kuI6GZpcfwWxb+DRhGCFroeEq6/s5+/4PDpro7/h2FDWhbQzWzyGbZt5uzYWHXsfHoZibsoxJGxnN6NfgZ8nyeZ9j59HmfZ14o2jL0M1i3tiba1srGuUrxrgz5vYmJWY7w7whmRh628jbmx3ZcVnXr+Fmg5BFjBiyWFDCYW3oSTaNVT+hbnQ4+haOv5xV0hHBGUPRlbxgL8qOL5Rg4FyKnRCYvnsRNMH/9oADAMBAAIAAwAAABBn2uZM8u/47d8t/wD6rcC8H7zJRV9HOycuYuSWhA8QkOQr0CwzDW7kcowgsok4gN0QM0IbHs2PwIMkqY4YSUYgUESE98Tj39LAkEqFTZlDL/t1tnXBBvjzHaksvT/PnZ3VT14B7NWhy0oCcgEolU8I4M8r477Ld57nsHcj33Ug8MwBfTNsssQ84YUDvXyydHwCXK48e6f3Ds2sgiQv0GTMe8CgNDvPfwoiWCEAD1AoSs4IQcI4qRtMkgNxHd3dMsNQVsQIQJgcopfjc/8Aw1WMXzWIBPYaRLScP4+8O+MrD03z8u97G7+DBc1aMBA6c81+2/6577VCqPMBMHDBecQOIrFGzrLFAI26FKlOPmL52u6KgrunhB9vnipikEm7TLuomtpomL1F2NF9DNxxZcJEMIMBDFMDMJPLELNLNDCNAHJMMGKJPJSOGLOeIC0NcO9YNLRJvBLKEpveWILFC5xPKELC/wAhwBDvxbbDbD38fzxDBSaCBzhhTAzNz7rTc4IRidzekvAdMiwAXfRpIIsfBfA4vOv+egtJOruWtar7pvdePPFS+jfd83DDB+ejAzmBFetdSjIRuukudOOpR/OqeQDe+rLeId//AC4e2oTsKqCww27WQmI658gAeCoIkk8Asc4kcOkEPoIeg6d70GCl7LdqAjuJx20kGax1HqmPlzHxd1xfB91NL9LhfdZLzLVFS72yOHme9KkHNKJZ3aIo1FSZKyab2mAG3isQOeHl3fiqgpXm0gW6G0CICIBhdqqivCoT1uSJPIpqVRUJPENdZ1RCm+lBplUTdBWrqg9oFGiVyO8layUJetqpUc9Gq1+0qm4SgSqeVmzea6yREZr+hlegNs4WK1G/EZgqq+gf4y3TA1pR+BecQJWshha/1UdeCxU+1bR42CqKK2N/bfr4QTjPZk7HzHj/AHS5Wnop5tbfQXcgMQ1GjlXbaUPkWYWVbR2g6KFrq65wTK9w8PNIn+7g6zC5VBKWf8k7HzwatdnecReVRcWax/8AugQwd9ggxS/sBCiBZ8OG2PEGMM8V3uOeFulKsNNMdSPF2GjkFW8+huYMZhCBOf7ThKX0Exnwj4g3i7bxmTLCphD4VBJaYR4bCHA/UVW8DrdCvDZBYTIc92vGH/V2Vv8Adhjxr1tVDBV9znZcB5RRjTHbndZtld8ioztFBRCJxPB1H1uaYoeo93hClRh3gEciEyOi6ShbLFt9wFFdBvDFRKchiEpBspBMWm4cedQIpIJphEsOUu+ugVo+wd15A4xZZNdh9xZxpZwUltJFR5+4AkSB1ZRc0Er9V+MYCyKCUyUgwYNckhJFhtrhZVJlyU4xM5ho245tK0Bxhx8V10AVpAEuoziuollQ+uyAYtgscsEsUGuIaoYgUQWm+6eyrwkaYk/7s+mS+GaciWOQAIquWIVBHXP35pUqumWE02cC6WmyYQv3Yn8YSj7d7Ymvm6Oi+2M+Giust1N/TJBRddiuC4EkNq2kl8a9vVLFD9/ZDjRtarWueSagUqImeGGu8ZNQyeCabKGuySCaGGmkOmI4lwI9pBJ4w63HGWWTmcQk+KagG2cs4asicsfSiJOGZuiiMs6iM0gItGRc8c8mHDa+6pJ3yntJHiesa2ASGi3Jjxn9G2d1BvZrK6CCAWII+yguC/h/cieC/CCCBfAcBBCe8ffcD9DCefDgjhj8dDCDd/cD/A+BDBDB/8QAIREAAwEAAgMBAAMBAAAAAAAAAAERECAhMDFBQFBRYXH/2gAIAQMBAT8QlEshCZCbMhCEHqIQhMhCIiIREREREFEIerETISnopdpS7Sl2lKXi2Up728+uaGSD1ZOEEpJsEJNlISbKTYUSFKR72UudiZcpeFE9peNE8ou+Cy8rq8UFjIQWzhFkpCQfJFKUud8YdkJx7zocFDoc+F4Xe/AuVZXlysr4XZdhM9F4VbVw64XGi/2IR1eEWXWxPxvk8WTnCEIK7S8rkGMhCEyFOyspMhOFLy7yo6FDoc+FKfcpREylzseUu3OzvLz78VeXLt4VFW9eCCINZSlLnfwjOyM7Jj81LlOuM4zZsITHwiKkNlKUuJ2f9E4UWesuTKURRk4dnZEdEzvIhpZSlxohCEylLsdmNnrLtFXQSeuMREREQ0d52dlyE/0dKXIyNFKUpdXgpSjLGW7RE/Yl0aj4Ni/U0QnCE4NDC9a32dDodhawvRMZNnCEfDvbneUpWV49utlbWUbsTEyj9nsN5XvKN0egn2XCfkqOuLOuFKUonlPYXo+Y/YhY/Z7DyveM9D0EL1iz6febYnnWJp5dpe5x+C4TIe4kTPo/eq96vQnROxLomMvZey9lKJiZS98L3hjGylL2Ue/N+n3Eezoz036Q2SyHAwnRcYxn0+4xiFkEiYkIYxoZD6PZwlIQhINGJJeuDWQ6WtW7k1qkJ3Sd0hCEIQa4QhMeQhPBd9Y/6FfOkbEp+Fi4sXKl4XhfJf1zITIQhCZBrxwuzZwjI+HfHvh2dlKUpSlLlLl8VLzvhv4ujo65pEJ4IQhCEJkyZCZNhNnGZMmT8PZNh2d73vZN78Xf4LxvC7cvkvlpS/yE8d8MIQnivFF8ffhVXB17eF28KXILjCakV+vD14L+68GLlBIauv8ABM+k/hu/y18u+cJwhCcFwuX8C2l5XKQnBYua4Ph8FrxauC4sWLXrEL0f/8QAIREAAwEBAQEBAQADAQEAAAAAAAERECEgMTBBQFFhcVD/2gAIAQIBAT8QsG8pS5SlLlKUo30WIYmUpcrKVlYm0VibKKw6/mIeMVg2y5Si798kITYQmwhCY9SIQ+bNj8dK8X0WsRaIZBuFL4opFu0cFpzOC45nBe7BBUyEKt4QgiIaRCEITYTIQnmEyHzUPJixYl+HTu0o3iKUeIpSlK8sP/BaIuXWREIJZUXaU5lLjzg/+EYqOnRX+kJs3nlExkF4iIsmREWwiJlmPE8lIybHsfjpdn/cTJ/rGdmf3E3MmpE9JcHk1+V4ud3uUpWUc2E8XJlEIpUJlKUhERCRSlKXYTOFGzhzIK/7HTp3+kJsIPhSUhBoqEdIQjyHDhV44cIQhz3M4REIQmzEiEZHvfN2jZS5GQhCE/2VHCo4XEP8J4hCEZDvml25crzhSlOi8VkbEiEITGo/8F8Rl9yZT6QSGQQmspThwrOlZCI+FYmyE/2QSExMpSlPpCE1hF5CeGLo/uId+Zf9FYmysrEyI4cOEIVF/wCChCZUVMhCMjxHRPCEIIVEMTJcE5BouTOlQ0PZvfHfzgilEyl8Upc6JnyfWr4JWiGI+B5w+xOlxdLtzh8KVHM4cJkzhCEIiLETJ3EJEGukE4J0ahBfD5Fj4yCdF6NcpBhqeV7SZ1eUd/uohBIg1k4fA/ovufAx4vh8C2SEfeGP6IYkycP4NEyakNa0NNEIIZOHxcW/0e/wp/S0+Sjefw+NP5r9H7hsuInD+E4Qg0NEJzxOY4EJZCcILEf0efw/hz+DPnWNUcMuXhSLXwoPLllRoR9EI/h/D+CEMfzKUpSkCEJ5T+C80pcUtLRMvhW+s4TWU68g1cPomIonBMvIfE0pSlE/FKUosTKX8/uL/Y4yZSl2pDdy+IQn4r/o/HRMfqEJsyEZP0gvwX7TaUpWUuUpSvKxPv5fPpRLbtXioq3hzxwq8cOEIQhCEJk2HfwhET8Vs8T/AAozp3L5bKXKUuUpSlKUonlKXKUuXGy7S5cvi/8ACl7+NX4cKjhwqOCzmczhVvM4c98/xITJk2E/WE9zzCE/+hXl2+p+N2nPN1onijRPVXnnuY4/CiyEFsFkyZNo/wDeXEUq1ukX38Z+EJkyE/wZkyZCbCe6WlhcXvn4p7f256md/Fe+fhCbMXuL1F7pS7UUvhwq2H0m8Oaznv8Ao54nqZMq/JeFqH4erHr8Pw8ePELwY/p//8QAJhABAAICAQMEAwEBAQAAAAAAAQARITFBUWFxgZGhscHR8OHxEP/aAAgBAQABPxDBvQVM+ubKqKodXVL07/3SHgq4XHZ/yY8ygbD7ldVDiofv8xycBHKPzuN7AcNPDcwNNg3tiWa30sKfMoTN6L21KBeWjnD+ZnJQxcsqUMCzth9sx0bAW8xjv5mdQLOD0qZjoSv2XH9hb1L4jSyLBuhz3/Euadoc8/uANsayH6jlgpto9twOKWKyHviLFDrlh3MuMeYCFoiJsV/YggUFxsxKVQBdKdagrjW8nEtuVby/vqA3E4wGjvBpw22Br5l9nJtFq5aFYKNPR28YjjURsoPR+YNFLgakveruvzGoWVQs5/MwCRbvIctnfr1mIVYBtZZ/ek2DiC69N9feXQqiUxbucwUjkrSr5OPMEWsmh5Mdy1yLFbt5ilBradBZnBsIBkYZBdIzALWNt8QFb9TyI7t2qx8So4nNlc/uUYVyLOO0SVfBTWfFRDEFpTzqXHFXilrcMYuWR1giCxS14Gj5hBji7vPPbtKN3pWXJ+IGFQrbTMJC2FETfXiYxirzo54xF1bZcda35gyeiJ0YpY/YyarzHTIiJzfFRAbWWl4eCKYhbWIWLe72O8QYLDha9blZoOwvc4FhTm+JcGl203mGAHGsd1wLjDF7h3CFm3NaiHaBK7dS59Yq1ALXn9xkqQtlV9T2hNVymyn0cQWmYDYD2iyqyApDx/Ny0dRW3G8fzANb0CLY9ca/7A7FaDXrENK0mvz0IhEVewe/vLGBDIfuXMVm28rRTFukcudeYxDqu2x6sVEgctQbS+AsfaEdRclfG2Fxb1bfgdJUeAU2aete3vK3guQcJ56QNZLWcLo8ypAtcBS7z6/EbkaLFZCONL1UCazCwmqtKHjO5eK7pnPe5gwZlqkWC0pCjOLmnB6Cu/pG7SorQnpxFgiJqEXpqAS0oiotDQa/tRWDAmVM5OZnR1WR6r1LOFAtZwdNFXHw6iCOD/WrgkhAc5K6ojDg15qw+MRvgJhOsXyyzSyoazgyVvfxMVCKYAPOILQIYQYcsChQAWHDLnjtDie7MmOpHSN8EOWqOYrS2edr119ZhhzbCr3OZXBmojC+35iErxQFtCs+/pHaDWUZbxZz5hdEbYD65IlR16aHbOIkAO84+rmzBy1dPS4gLhF51YLxbFQMqha4x1lJQAWb9uZd1TTG2Ou0odnzMp0QKAfX1hc+zIyHvLKgIAhT0eIDSKB7hzctACmjF9usd1pXUdi9fMoUpkglOYgpT4Onv5hHDo2N8ygKpZr0dfeNgBZs6JuAEMj2ZS3agNV1jFEtpoVfDvmMQGlBWelXE07o4Im8DcFq3CkQV2DmgvCxeBn5iY37E29pmsQz0Hmo4yr6B05jUqGLtPtCqDUVH9Sii2t0dd18wMHOy3HegqZbfuKAblgnzRKEWdQPrcWnVUlp+pSx0O2Pb8woDgAX/YQBXLU1XeFtrvDT5jZpYaiMRZrp9kKBaAJuX50Z4Fblg7axEFgtseKlp5Aut6lKqoDtpNBQjpxviUKwDF22MEQKcpoNX0v9QQR3EYSuscwJy3l4g6tqvFxi/M3AgODDV9eJcbE3NV2f3ErF62LjDXj4j2lohilOmumJjPEWRnt11KwditgigrqQKrsmEiaezAcCqmLHwJjfX1/UquNTgHnxmBCF6COHRi3AsKAV/aLQ5hlQv2xn2j4JVIbHPfJLBzxC+NXtekajFJkwcnffzMg2GumNRpFvd4z+JrAbLOs3TmOeIzJaKqBVVrVMW1pbVfxPUlKNYitBLvV4iAGtVi7h4dLrIieXKv8AxHSbVpfxKAbWkiXLibDC37SwZbY4SveWylWZLi8xYXaNH1naZKKX1uHSo2j+ZQN5MjWojUgNWW1ANLHJtithDm2lRKNLdL9S202FJUbSbpzTaUHus2JUTXMci3KcqC73NbzOD9xSFDarvMGApc1aDVMuW51RRndxZWA3cTQoRY7ww1owzl8k25Gct/uXsFHf9RDgspGEcypuxqhb6zAYD3PJcyTByvL6vMbgOFXy8+Js2sXpOyjUUXdhsMwYmZYMreGsa8TK5wyg3XeMcG9FLeseWPXUPeKuBoJleb6dopmLpVZu/uagG2u5V78sXHLOa56Roug67p3iYOO2Kiu8EWlyCqHmBdGaW3Knc0DX/YQhZWOZ+veIQLFYgqsVEDMgK2PZLrjaycJjHdUVzmsVnrBr2tGsuhXzcuE1lloVnzf1FvgWZcuPLAYb7K7rs4uHKQ6qpTffj/Juo2AAL6OfeMq3HAo7cQ1cZAHXW4FIvrctKZchL1+tGQ9ePiYnAG2x695bEo7uz+zcpyYDaXQvX3gWjWw7vsyo0FuB7nrB8TYsreZcxDB9FNKwuGrQTfr+pmidgyvusp4IXbiuKnMV0qYuigx97jYKdx8h2QFJlWD03KMjYN4THtTL5wKC1qxu+YQhUFxV1D0UgYDs8u0sNzlcijvE4IUOk11DcfFDlyXEyo9hoAxvzLy42lYMdJq7WAUATiuXq94qhoOzVR7cLVFsGbCLboqvWYtybajhUsdPDFwGJX+EwW65qjMGPAapNymihABFyF+JSXagMDY9IAuKcLp7zLzgArDKX4gHAQCsYb6aZZYvY0te0KM3VeBL943AUvnlo6diO4K1CksFmWA0sIq4BKV5d61CvFy4FTLXtB+ZG6tjZtmmvFnP+x9FYYeHbiUNttYi17QgwbLEEv3gdAous6pvp3YLRKDRSwK6dIFfIC9L8I4igtWCg6vMoLYxYxxb2gYlinGnFMaXWVo1VdevpGcRytOeYQG0UFYMwSuRLeGa5jksN57S1SU3SS4iavkh1zAtpeIbQBsY4bRnFc9ukuadU55lx+5kghW7lGs3HS5gbFQrn2l6ICWxz0jXG1CwcXzA1osVefMRsFEI8G8xdOQycvfECy43Y8f4ua+u7vnf6nIEyk68Z6RxiASlP1CjRN1FHgXX86QAgg5CB72MH9QBTMbbLnUFgbaBQQBGJdnNVeIbTSvZctFgHVbz3lmVvIrii9EtCNDTeqLfxKJbiWV34iHXos09I55BGY1y8JVyqC8XUqA3GbKiEWuMGcSww4FZ1EcoHvAGKRdEoVbvZ95n4Lrh948BmA4eiGrVEaLj9EzEqxa1hr1xMINycVbz6VKy0jNILMcZlxI/pBKLotgvSGF6aj5UUyj1gVlVGsUYiqqW0Q/tQquiumPxErc5LLw3XRMy0W1zju3DGsTTfFQjJKwObZms6hcCZkuVrKnvAz2w+2ZkquyrVv2ikAYl21fQ4e8EJWEQCjrE2rsIgKm3PpKwFotgY/czTRlu0IAnBawgOPLaqwkLljKFF5jiQM8708dJQ94F01/EUCrq7oD+qUFbdI27Okqtmk5LWsepLoI0rSvWFZLsNF+KmUE2jSA/7AzCJ0L8VK18QqCV6S1gtzyWRy+JjUcg9TfMtS4Jva69JZ0DV4cKp94COkmti96lITSgpjzcdSqrWR8SmpspVJmrRTX8TJzQFUqMduIrtbzg7VGqhASvKh6I16Bt3vOvSClbDMjMN3C3zw9UTeiw6Sljdsbho0VlgqliIVQJLIi8lY5zzmUiQjCLgjh7i4liVupwKq4QwnRmvzGixAGQq2DTTOga16w1WaBl4liNNAF6UlQw2gepj8SgiqsmR7XDCAOQYdS7IC+phTcHDZCvaqnGDLNQiy2g5a6QIJCxNg5uGCRu51x23OcyhbpKlFjRHUINxcgTOOZVWCmTNOfiKpK5cDCeOdQIyBxpFtURbdLglug25qCErlAaBiLjVFa3LMKxdBeXtFix6ZqHHxGIHy2BQdCFy6LrB1xDzIXajT3KlpGQG46hleu8pU6YtRMwW5sDTyxN3gbcvmZQBsW89ZTwL3e34jBlUY5hWsLumIAVjBfEx6AV7S05zY1Bq0Bn/OaItbL0wA0CHF3ctrLPKn8MoUrPU7dYtim4tW+ahMRBq3tYa75YEvMShx7xaHO2KvvDQFuH6jCtQcajPI6CXcSgNBbDY9SoXDBrObjqshpaM+0VTG7pKnHNjrM0oba4faDAEwz0xKnwdF/EFsO9iUDqagyMmxS/qWnF5VqLkKTcMK7BTRfSpdU4Yb69ZSmVBTTHcqO5OLs+ZW5hxj8cTZhvYxhyZ0ce8GFxvbW5SLwczEFhjEzF5Cn2IMKRasy18YlvJddFfjMrzl2GWviFSxksSX6VFVr2LD236RIN70yjSOrmiLGRVolXmIC37Q0PhuYODsJag+GOsFbp0EpbpWCiWUQaLJ5PzLTSJd3BndTWD1ipAXas3G5ZuBLPW1UrRe/k5h5rQvmKMU824p4hGGtbRr3iSL42oCqDUMlWpbvERQLC032blhxbAUVlpSheRGfWK79XrH3EAXbikr1m1ZjiqgEIZrYZSksXY925ZmZAXQu4spmDRsxC0MLurauO4ttarV1HpDOgyYZU2oLorVZil7tgGeUjkLFVeG88RbsNroa1rMsHZrNzO0L4XZxuBYVmKqO00DEUSr9YDyKwDt/JGz3FP0IbALWR7S+da3E04BaBEhA45pLGKN3phw6t0OkN1LKDrFjArs5HxGxuQ4TiUzEbYJZR0lLI87CORFrTMm2r1MbG+4ALQQ1AmFu2I0wa8zJQreCBKwtmslShS1oM2JA0mcGmLNku+Ykj+UdCIZxdXqAKHhDu8x5LPKrOsEAVApWE48x0jcDfBPiWQUNqqGmB34RKjTlfE0G4eNxObTCcRg0O4v3LUlywtv3gBoFOEX1hM1cVkWKpqhsLb99yoDx8Q2+a0xI6FZStc95UY32cwVlFqGTgzcoN91T1zCFFoGnvv7mOI5iq9UXEtVTvF9zHTqWBzpmRMyZDsZltxqbT6lRqNdz7ihPTseI0tavCZZmtS8G2UYHus8XBM1CjfzLgWGhoIKHY2T4mgqFFfmJVALcOoHUbhyY1ZwnYpfQgQvfBnMXwDnOUszWtrtjPBTQ19IkNW8mCR9YVqtzEB11cwA26GGNcDBdEYqya6V6TA05d6+4Ujo9SUa8TVsvmAAFvn1upZUHP8JRilI4oMygMG9K3KcTbzisxTl0VGUAcKHma+xylanJhzeobfSwrgKE2sZGrCw638zKIBtX/AIxNROmGIBRW/VNy2ShE36xZLdFC47xaxNXi+Y+1SlGHzOqDqC4jewbWhD0TZt3BBBHhJV5NXwH6gJ2q+0TDWjkY1vLehggrV6XKFUiY1KXuTgv8RVkdRUW8dqpI22oq7GZcA6Iq9+0rqlVNxsUEpbe0wjJV3BzQXokvlmW0CJ/A65Jm7BosIajFWzeIoVbzzDjkJLCWVUgANbDBzUsEwtb8ssmUohpt3GZO9ncY3cqSuy/+YhRG+Bv5g8J5WGxfPq9IU6XdiOXc4r/sBYJq6agJjjssyDq7X9xItpoWlJeFavdKTN07dv3Djplxg+IiC3MHL8kvIZ0EKWJ7VW1y9Mw0Y1ReHY/iJSgQHIfxBakN7djo8S1jITfrrqI8B4GKfMwTXgaHOJlFYzeL+4fc6uoK0TLyde0vYDbl/wBi7NeGE0N5rLn4gzacvLB2arHVhNZzj4eJ0nSBTXPVjFY31Ca5vBuYlKNhi+0RCyluzcxE7dbxqKNY6coBEKNDcBCSsUbIkMZzr/ssUfWGEvPR/ZgaHP8AaipRherwHvdZSKGeo+IZluE6ywSzOmz7g5XazdQcGhveOsKQsziahAsWLSnxviZjRl2ctxWqmRHCrX6RUNy8A6p+Im+CYNJqpihQcVeUgnygHjUEoQvIF1X7j0+qbE9fSFHR5iI8kf8AVBRq5bVqqrErz/AGURSyml+JcQDa6aq/EstsMNGJhLLzNQ2bwc+YdqDph/E5K2w2pfnRXWZFvsXuZ03T4EvRTznMFSWPNxWvAYL77jaCB1nJElKb3eUETr7Y4ocuSOOmTYzPkYxADRWc2+cQi+TPMIS73DrRVZv9EEi6CrVYs2v8Yiq3gg6yfCsSCg1CF0dF5YQBQrec9ptlBXsx4IgAsqW2sZ2waRYtub27hwGg2gViUAh53WCZBrxxtz7EXmtbYYr0ltocBcUYjRps0ZekXzKxVH1EkyBQYMQUqNAMZ9+PmU9es0+obQMWBQVOZsyDPmCitLWsehLS2FlVnXbvG0aYwaiWacmP3HVlJFNVa3LN1moAOF5JkYz4Ll8wd1GERSpeDbBYHCHSUBkK3yKX9RFBtUayvSHDS4TFZxUVwaqvg6XxGyWjY4QEAQ+FP+TESNGq7QGQC3TqMC44FvzL6ihcW4iALq2KH+wq6N8mR9H/ACG1SDnJU9f8gKocmC687gOUBnJPZgIMHVufe/xGNtqruy5msh0jZHYd7MxUEa4xBgAFl5WDIBZqxcFgCAbTrUNbOQcnqZlMHmxk/f8AkFFl+J9QxSZz9N94XgBv84+YrAHY9JiG99RdeILPGbyX3lhuFOlkJYrlVKaS0LVnrcUiOV4dkfxDk4RYalAKc9R/YgI0MK1LialU6KJcS5uXnf8AcRFfLp7V0hG49P8AhMMVKbWYGmS6q2Ybz0swa9JYQJni8w0bDhwv5jly8h+5pbVLzBZ+x/Ueivz/AJKDEPeXaHBqGycMK1BwxQzdN8xgi36swgLim67zLCS9MYZb8wNHluPdAys8iA4DG8GIeHLeFP3DgYizC9o7IBLNTOQOLuocEaBN+JWYM8kBbZ8EbYFalImKr+qYRZNr0lDAdWquXWCkoeD1iWLVcf7G/tDZWD16zSLa9VBsXbEC7HYWYZTclsHaKQWPEE2ieRDEPdc5i0We+AVCeEjinedyjZfUP3CBYN12gjoB7yjMsekW3QHXmFrW47RXJ7RdGTEFZtqLGlfiJKXa+JdoOLjYG99XWpYTlvRMRetuscPeWIhbWTMSVbro3UyW1wMxNLexLAHtlyY9V1JoyuPRLtF728HiCWrsO4oomesoFQKA6OrGw5LqJUJvaUFcO3ftDEBvrmJZ1DrJL9ugyg9+nmItZwoJ5CEAhg2VNMFeSHEML3zFryDtLbV+7LSLVYvTCyhxGxTf6giqZN94/wAgQbabKOEV/LFACVoOJgYQe8QwXq+0BI1TvGWb1onPSHjeMy2qy75JsUA41Bu16XC+9GArzc9oTLtlq73r4l5had2z0esy/HVk/wAlCi6KNRRNRY0Rcm5c8BGgu3vcahbaXX+zke1dEIWsAKODLFKAKq2C4EW92aoxUEQUSYvF5iylcljcIZTlMvBKJR9aX+YWZL5r4XcDAM5W0fQYQUvVtfXNEXuVvCXHLp8i3CL0LdEYo4lzB3YIqGcYlsprntcPetGichh6WTIDovG4Gow4rEBiVBWVHvORjQR9IsWGjZEKRXIoyacSpNjilz8RO7Jy/qMcVV54mNq6t/PiCS6i6HO9dO8qyI0FTUUV4Nl6iSpDualKqxnp7y7kguwWosKl3VXKAr5Wse8CNIsLFDiJZhc3VXNj7f8AZ5hc1F2/B/uVaODM0UXoZiTQ5PaHIFZwSkIpTgtIZBls45hCDh2ai5jfX/Y50yTBLU6masuyG7uJaq31/wBlwzn8k24nWLLIF8JUSt13hn4l4QHVJn2lcak172RwWBlr8S502pLMmYqqDrQlDdE25y/FpI0VVedQppDp0eKgPYui5fMtCI85HxMS2eIRC4w96x8QCwoyj5OIiI5i230g6iOmsQXVvcu7DvLps9MuJhs5T+pX4iWwXyEasuPye8sB9m5W3Pz/ALAHwaJSBtuzUQIzHgdxqXa5N5jypTMtQ69UykIZuUDQar/Jkrp9kNQX6zJbS11en7jQ8yurACbJkUUDQdrRfmBtEcFmY8o5oIaColtS9At5CILKuEocvxBQJis3cq4UjPk7x4voafDj7il9GIZZi831jbqBaGvU8SrB4c4zGAsS8FXqGhPQFy1wC7GB+vEdLEUip/kuZoOALZXWHZGAsWCzXrf98QPAhCf7MExBsQPW8+0TCjxhUnKTyizNs3gpPxfvLUdWcvor9RLacgB8nMQZA7Kz6e0QjHBohyqGAZjygaw5t04gCoVSZoYl1Njvl5ha5FjLuVRUYqoq6d3u4iG6tNkqIujno/2oHhQOnAal8W7ATGI0u40bYr9wptFcPErfflbPiAo2Fat3EVYLzxAtSrufeCq8SdrhQoBTl11gIXTq5+JQ7JWC8VLACOFa6RpC6/PeCqnYpzG6tnJviLpx3reI2ByZp/yZADPS6lod+c/WItQ0BQmuL64uNKE3be5fQbN1LIMAUKXXF+ktYcQYCXZiLRDY6e/aBmFUDgI6oduOkxEwcit+bmeDLhv8Rdddv0/ZNGyLt0fSAbu8U0HpFSwhvrG9UWC99/8AsrysacjjtFjJbJTj2ZkgqdwNSgXoUNkGQKa6swM5EMGtZuIG8Wuh59Jmq6xhJgZ7e2W5C9Wj7ijVPESsPh+5eAoycy8xtSjqMwSHNMCKVkYiKcs7qJuZdIrGHLWLi4kCiJSMIbjy95dUPaFpkws/zL7BaMhUbJYyYr/Y6iHlaDoRa9GwcsEu00gF1MwrLTjUB0WKYvWq5LRzKVBIwNU8nWG4LyEr8fMGha+VX4wQw06AbprUMQU4yRnvDen5iG5Fpf0biO005NvxK0g47s2eGH0x1F/JDHNpQmOSX1MC5D532l21I3yHOK6QVUG+o+rEPRxi5rLoVn67cwdH+z7oosCHmVUCgJjqa5/2ELdsNrA9YR4hOvWE9AcFZIZa5s4gKJFQBrYeGclygl049JUxc3dbzDLastHn+qGTcu73fUgBrq1bBFpC+Jn2LMsWHCivL+IBKOm4jFD5Z/2AmmK6wGLYZLqJxnkX7zMUcPMLHZVXC6Ehw946WA7bWoEvbgWt9CFIOQ2PjrEUH0XH4iYQXVsPiUeBrkQjSZN4V0/EMbnaS2vzFbSzvJfxFUo6DM3Ft5xuIWznTHyTHed/Euo7nUSafUS5UZU7NRoG+XJWpZ0g6pALF+pWKyYc8RVV4HS6YljQ1xwfSJZdDofhEhll4hy93UKy6KcQvgtjWj3hVAsvIjWHVZaS5sOe/qCESvG4s3THpDjYcFsxCOPEc2YhcNameLWyMcCbdPaCwN3WIoszzUG4zdbhzo06ZRu9NJ8xxXwNRFkjzRzKRka0RLd1v3QBUU3pxCOctzEqLo3piyDXe3mAMCvwm2NOk1baZDe++JfpWzh+oBojca3iH7nYS7z8RxQBMXef1ALrBwhhysZdKdoo6R1zDT0KbJvF97uoGRQAw1CQFVTiqPorVFU7eI4AizumOVEWmnp0lDm++R8czaEByr7mLSnpbVe8RVV4qkr5jkC7SL8xS1kuDxeJZFA30lDA1mxp/sxu1L2FT/niC7WlHTw8QCXAyI7dZXQLd4fWHowbo1CoL6uMfBLbct+WVOoc6H92lMETgAv3qDTCqqGLNz0DkPjp6QyFwuT0LYS6Eswb3GFf3WaD1lhhSJS2z1nVDeraSApacbrvFTa44J4E/JrtCV12TIF8DEgAdpnzqAB8twBzWXZgilc+6FI57a5z5mOEUppTD51WDDGbmAtNlzW66+IigNgBiw/UW1EbxXR6cRKiVRxzfMFWMoM3EsUao3ef1KAHo5jtjx1f1K5hO+YLcIChx4liAGETXxKLOe9cyleLYdbR6JUt1fUYMvkpcYK66jeXvpuArwjByiDdZuvbiNqTriFJfqZlEr0lRdD2jtozdEwTmIxZuL7hE6+YJddM2GMec4gLRdfNJmGfsgu5o63CNqxRrC+nZgrSkALTmHqzWCNDZUszDksnKceJQ1LAbInR6S9F04BfWdN31gO/WZfPYbzrv3mO61bUet9o3RTaSU8kooWup/EqrD79IqU03pMEoWa/xBFiZ7uIDSVvLDiKcAxcwLXDbj0l1AvW2bJxjiVjkOFJm526BLXSzQ3Ky3O7YAYUbsPxB1BMKy/57wIpHj/YgILh2v2jTloCkqIBdo5q2vBLRdplz8RhfeAVUXF+kEhYHXEAAl6NLBbStSvH3DFDXk6nvmDJer2fbO4nSuP37TLFou10X+ZdjKBu8FEqjLC/b/Yl0KWrvBhUYYMMinIGmWUEyzT2mbKBkZ6zENJbEp7EBFKyDuhAbFW77veVAtjQMb+YWOigPXEJW5eqr+QnEEzVdyopAcK5O8o6OyYco/iXXUU6TkqKtYuo7xJomq2kfefVsCn81DiZbu2dH5uWKQN9WXkwS894hg2eIq3iuc7jfkxDDUsqrO9wKuC7i7gB8yux491SiunHmJqU5X07SooopU3m4osikCupUz0KdfMcSmwqbbueWXzLUFUzkijcJxiNoqwgEhfEDbDfQhSCeyGWb8VLjBbxBsBOahWYHEEJquK6RhRumk1FpLC1uWoliUXGlM81XWB5gZ5qFqjTKvMtWUlt1xGdhZbXTxDCItMtZ/rhSLg1Tb3r8xAEJdkBLlyKWkJpVZvJ9McoXKa5OjDY6dMQD5cGV31h1zXqxR3mCMigFcepC1EP8+ISRir458ahgFaLsKIpUrwt53E1A8+2oMXsqCPCzULJx8jdSgWHw/vzBuRwGyFAhkxzDuTOS1Exxagu1Z1zLldOb/yU9CZVtprJhcb61zsTRk7vSGWFlcxQZEa1vaAR1RSvMDIVXBABzuaJY3R9YAxXrDZkHVxSUA4HECijLBK8pQLk4osIlg6uoositA58cwYUZgVf7IXBkqEwYvY2cdIyInKAaNHQfmWl238TD7lbeICATQzDYKb5S5as8BolDXJm1ANXbylYjAA0ZSIhKbVx5m4wby/9gguL9+YqpzZOPNQFtNTOXfzE07zRBHZlz0SrYdQU15mR1s3aEso2cQWAi+XEGlu3SWGlXw6gkbAZgAUl94UBjF8wE4+GELCudRy/UxLEgDVsby0x1v8AcTFvoSiuHpCoKpK5dS1YC+82YY3TMhz7sTjjvmMqV7EIbdGGxftKNMrpG4haUu4pS/ZN+0sN66QRozYOkbWfvKc5+u4caHggh05xKOVjkwe5Mrlq9BAjYI4QzFXa7QaZ3KGLOM54gVg3jdekahrEZb4EyoBnoxw1jpcSKUxjc3i3FDcSxjnrHKxZaww3EviWB3cBUCjA9YbyA3jnf7g0Kg4c8JatiCzn+xLOQwt1W+YDco5e/wDLLR7DiERa23SYf7y3CKw6dZreI6bS9/MvYPQdf4y0AC0M5MQlaBd9alUut2UqqhfBcxQJyY+oyvBxrUoLgdDmXBYprJrMvoWQbzqFAq7tOhLtC3XrAFaKtPNwsIvWN+ILdVe1fMt22ddY0DyVcGcScP8AsMKOjafTtAuUSr2r8ekczuuWCKHnrKRFFTNSoyrePH+MWwwq31ixTRKoH2jUpZ3Z+4xKKMttfFyoEZOV/lg7Fd6MHYuUZgsStRV59rhrVdjQGcd9StNw3YmMdtwFUYEdSUw1tKUZxrOo04S5LOmsbhUW6of4jWYweuvmOmTWtDU1sDZcIB1aZg5HLQ4NxfHe3DwPSZNVMJ1PCg3G1jTpj4jAy5Cwuq1+I1CkU6ali9P+ahb8m8y85ERdhvGhFEsIvJxFsAijJA2y86Dj3jbc4Xk495cjMBwXYU4JfmNRUpZhzP4qUIVVnreLgLaOkvB74mc0NhdP7rvFBLw10dZlhG/yIAyVnpcQ4WQUZWeKS+J+Iq3cKwKlr0pFcs9Flx6mDofMAJRwcVOoNOr6QXW2dtY8xBa3ZjrcTbp9SBejXd1EIcIeqKs4esy9KZ4F+kxS1Vx2RY6LFQobviUxFekVWjlzcqr37ekoWpw1rib5ddBZomjfCvmVi78qGPEBl94kvM2FUcoL4e81RFy7OIi2gxu3TzFtg+9jiaKLa7sbswbMalkabcmYBbtNsx4FYU5QrvDQLtn/AGbeBOJYnmps4jbltxmPS7g5iYzVsdEWUtU5YBwejUHVqDOWNGTeqYe3KzHvELWuP6o16jjpKO9tHRgRBYXdhFNBAMPOpRmMOHMz0pizbO9e06wQPUMQjaFxEupo42iiAQ9LlXgFrmEQUNlkENwD1A7c1AElOEN+agA0FurxFikKAyHrmprhvYN9mMa7DMK3rrn3lOCOt7lEzu6xVa2XZDjcuHNzQwu0VExiCjio7tDvNwgYAwqCCxTaYuHIN+Esqqa6xvdLqQL0B+EqxC3ZIXR2KMXiFduk94lBnXEubNgXNOXBpioofSFUy+pMZZqLaIJHmhVQakIIU2+JfQzekCF3Tew0xUgF84fEciMbjZvpDtku4ii9vSUr1ekrsOGQ1UarMipdxoUKvDN+Jn4tg7XFTugbptj20O8jLbL+4hi2rmKThh5mRv5RuWEDV8RDFXio6RUp3HFSugGR6y+2bxxAYoZ6cTch3KKpjcU17GvzC7SeSCEp4XgJWMMN06Snh4FdJkurrFMx/wABtp794EXKGRZ1GUxUaxlj1jANloWxTXWalkgOz7mBTh0+ZlqvNmcXsz5OdRaSaNRRQrEGgqVCtEtR5t4xGGZ94mC2r7XClcnmSbOOn7lPedpkyepZQEPQzd/ss4BxEmKaYm6wXGT6j0c+8MMGnAgi1+XlDYVeOlxaAiU+JobHpUw6SbrrCrHxK3Bm1u7VUSDjUGtxiRR2UpsUr4tPuWs828qclGrTqjdQOaNRtpQHeYNjdZ7zvFYIkJdYzFh3nul6YPS5moWv9IJ1Gu0LVfnJNik0Zq+cwgUdk3T0omqGhu+D6wIFos3Fl1Vy7do2a437wNKS6uxr17xDjIUVL5IlAW6pKmsemLad5o7wpy2Vm0qNIAOaX5eYkZBbHbfgeamOXeHA+0TsY1hr3mnsrRg7HSGgI/KjCtwLsdpcBluaqfWo3LTbCmfGuIRQ3Q6w0PHI9BEwsdy/mUhYNFr8YIEpS6yHo/uPbfpr36xdUMG6x8xqABs3fiBqsc02SBeC2aNPtN49lGV5Z1QblEU52mwGe8sipRy7PaJUaZ1SIFY+xKK4uRFUuiG7uFuR43/sQWtuQBlqfQFSOBd4K/DBbgGNj0iagvruIBZHUEIrG9o1FjxQZjqgHqO41LLqtRZFIStPSMFcGBDms3FX/uUKQBrExIvfFv8AEMjQ5Kv3gh9Qof3ElIHK9dqgd1XhtgbtqVq+sQ4wVq4qdMcjrA4nob+papngK6i3auLWMSxJvfMEsdHUyrqzuaH2UDICk4gcc11RBVDv0/UChnXWAIapnFx4jJs6xurhZYzjcECUd5at+5HpvPzFSgUdMygDQvpAkmsHbaVJqjkOl1kl8toK56alSMCVpu7PiWBwIvPrEiCEgbXApSeeM7gyBnky6qVKgaRM4/khxss1+kYQTvgqv9faEvkqJ6jcHuTa0Yiy8D07HT19ptbEpPFW+mINoaq0GYJyay2vqYwGLXDLUNKMHDS8+8DLS1BoiFqUDDnq8wI2AEy3ADg6hQYAvY1r2JvyUr1gCGEK2DAGjts+0QxkUIOprcGiCoBTHaq+oC1kw0D2lxYhT0q4BQApdZf1G8ODiDvlzFqtOKPvFgtWrKlk3RF0vTFfcFF6gf7+3FWWXAMnn0i80hKwbe/tEaBTTAY+YGGTyz8zCDCut064gIAW8XPaVAXKMC3TggJpGHlXjOYgY2LqW/UuYtvAHHWJvQWU8OWA1D70bgxXyDTfHpFQOZTcruRCUrUU91Qii0orXfs3FLDkmUiZL08EJZfUiUN8QTScAfMRUQN3w7xpLZ41mNKaS4i9ExNW3eOf+RFctlZ/VOespC7TiAaCaNpzFFrLVbvFVGqQRbd2Z/yEYUVOVAQwCODwjkNUw46I1ZltivxM5F5NnfzChFM8wsmNaxKKJbLQZK7Rorh2VwxN4PPpF9P/AB7RoAHtEGlLwMxNeaNbo5b1uXCFrLyYq/s95nyvQZecpa0a7YzA4+ESNsH0QsdQ3GMB7xTGAtt6ZjYYUWFQAS1rmoNU8VqHzEVz9rY+i2tS5XtNta2CLN3McyBWmL4bTmbFq6cxGFFuE0eYhW4227g8iNUtsBXmIoT/AGdK2lsPtEFHK7cX7xvXgt2SsIVlkSoDBM9n4TzRz/sBaoOgyo2DF5S0sCrzr5hgTyUQZJeQpePaKHSyga+JzpJQ084/M2DaCjb6Q0JOgktCIwoz7zGr8JEgpFzRBH5gsSl9gCLKIrrDgAZesrcOXfXWOZLFFjuMdVy1UjpN57SgAl8faK7iutVExakWfL9d4Ji9MhvrKA1eUPPEKEBq5RQeY1W42Sx/UBNKraWg85gZEuchXwf3EoCa6nLxX2yheVMCKlBVjkMJ6rM/InBD2V8zKrR4Eu3iAyzuoYePaIsOzpLq9/MtQAXC/assuHHTScclf7KAWBovubllYYbzzUQMKq1eX9MsAGhnL66+rgaBFF5Fc494kNjYmA8Eq7JW34/5MsGh2m9xx2V3reP3EFdYily1dZVgV8M63PS4F2rzBbV72mwAb4UYEULQYHMWpjPGJZhI6OSVnFgwF+cSgCG6afOYgKVLN1t0iMwgvrhf4ixUQmjrECoiA6M/5AAJGExUvALu+UlJccut+8qg3k0jbXxUwrhw1moF44WW7SIF37Ld31GY2Uw2amAETas/UxBOI2RkgmdFbr9S3vNYz5MxoFRV0qrAHFdJVwh6sALI58RyYhfWABjL2j+ZY7uCgYUaFGhNU+YLqxhLrO40Dl1Fbr/febGHD1OO+4QXCcDI8RuWCorZeIyiJxY/iUtYGTiOIkzx/wAiDZlThUEWdnSU2EHkxczdts8xVQQ4PaXGjNVhJY9jojSDl1GIW14s/cY4FO8Qd1lue/tFhAvRrrKdBbbgEgXgBb29JZCvev3Dg1s7fuJFsoMWv8wVsLZ2N/iveWMBW0/c6QHJ03UaxcgnEzyI1XSCOXAKaun+9ZYhu9eZT2q0AZqWdOo9SJQKuTMFCwoAdubIEmRw0GNypSwoKgnasykne0I+vrMSBZGganTBGhr6wEWk6jk+IFpkxTp7P+xSgZyVpO2ZYCIecHmqvEpRgcmS/P8AspbEaMU6+TH+TKzIt1dLwpKMwpS1b+MenvL2bOxf3cWOCmrQhlFL3kX7yg4OOAQSg7HlIAq02Ab1fPnxFEMBoUddoqVzRrNYrD5gCgDAUi5CTNnRC4iuAOIMZtSlFh0zAUeOrpEcL9VTRABeHvCVtpTQviHhrvuTjMT+a2x6LBRbE4Yi20PWKqq4ra6vSNCML0LjtUEZHi0f2GVEipYNteYoWdCklu4rXi+sqAsyDURwrozhEVkHF3iCEVDWbziU27xRCsVVjZLaGQONqiwyrobj0tNcl9pip+C9fqUWQUbauJNI0BiJSxeaBl3S+BZsaOMwClrcJUC7F1VWxFEWtMK2MFJ1+I1AtBFj1A/EqCebG3q3HABHr26SxjsmCzynSLTYe8wRWNyY4ssI5ibtnbGOI8Xju9QcAaWnl0lEEguzmWxLbrHWJXVrkXV3XtiUo7gHH/JoNSFBSM/MBoy6gOIrG8pZxuYjlerqdu0RoVdkNt546VB5Xhb1nQCco42r07sQXLVa7gfiFDcG/OZSWmR3jla+WIXsjiua/URYpA+bAWV+y3AAGXVPSv3EJKqUNCeGGYR1AGUsrDe4WXQfFQygByhbFh+HiJbovclkTmYMEFJFLFL8cEMpSwl8eT1mMiaezyHEr6CKqoHLjN5mDUUIZ7X+veo6qDCcnZ39MRIsPClTxBzDalCswAnJ7RhQh4mDnMocg56O50YSFoLXEEHGjtHoWfaXuJ56PEzYHqzRbaWMJ6R0Aq3LwVwbGHMFaNXqcTHAFBWN68/1SrFEo1nhP0yiM2m+uMy5nSlrQ/EuUE8U9Imwy07tNKZM5ekvFgcZz1mnVV07XMAhj3iKigUPSMyVt5EYMrijRa9947J2FqLq4qVZzj5mKHwUYpgrUg8glRYOti3eLOkuE0GwE3+4dIiBbtgwNqoDzqICs4weMfEJoLBxXSUBa1in9wAeiir1uDADmsV85mclxNsntMIXVAuT3inJ6tcxMeOdMbQNFe2KUI9sOCoQdYVgbUVXTIem4qTLSRT2eJnqXt2CvzAWcs+Vq/vSCcpNnbqRtqoCeRcNF5zz6wCqYBU55YKFPPXv4gUFcdZZqN0sXILRoP3DCmtCjwW8QXoFFl/Mw9mcMgc+sctqKNsrEqlAA6TvBt6IJKGw3BI6L3BYsLa3qIIGzC5/UJQRT1/yHnxHj+4KFjWbr8TYbxo7L8RKoGrrn+9pYrnxp+5SlmOQf1BslXWf6iVCCxgr/ZRS04XBCzgt1viIBDIr58yq7ChxEQKZ69kcmPTDeIMVfKWi6qDdU+Jt6RIK1GAUHKGMvECYEsPL1mbpNm7MVXz7wWAsOyUOvSBcuRAt5K9Iq4Bbc2m3saO/vAqEdauQ9+rbB7nurMDuDtiW2CONTohat6wxAZLp6RGQnBK8dpb9p6ywd2gae390ifWJ3mZt7EecS4/luaegMwsQXZaQQlZTAQedRACmsbI1aVxmeNlReXJ+uYNAAKG+5T9POnMeoMAFGg1KfXBZ09tZhQijZ2ekoEQAGXHWZfkbtzdymVveLbmGuzk7fqLOF4uXq16GOdPqiG3d4m6i/WEKpy60i7sDOEYrC3dZbqFmSfL7mPK3QzOQe1mACgHAfMMvYolJbioYoiDlVVEjQoBxiv3EAthdf3mBBNeK1AlbrKiFBVoMylopFPa7fuG5sI4xtQaBKo8XcG7BpmsH5galckt1Mq2tt6gtiORDb7RsLVxpiXaExQAUhd/MNqd2cnSZGRx0QIFk88Qlaq1g9oUbIt5eyfuNXtCVOySGT5lbGSkbrtKkwXooinJbWxt5vepbSquAfMcqFVXd4v8AUBCV4DmNm72u8OkmgGuQ/MA67DlbMZ5/skEG09h2lzFM9ZW+0zGyDTGc/mJ/IP3BAzRxxrrC6yqwtDfvqFEK2aiEqtEsltFm0C7Ym00avZLzsoKu1QoIWWhcwKhRgXiNTgVo5l1/piY2AXSMSaDeS/aY5DRjr8QVUHmyAC6OGDaqHtGrAx0hSsO8RS3urzDAhyLAvLxjg94Acp13b6ghY0vn4LEjwvovWcxXZE06swICcw1IZ2BdMSguastOb6xar0TLaZxL8+hmDKkq/kdfW/mGBR2DAI5KaXHWwXJGOILWFP39wqvjrFdR6yyUgcNNMVxpLeQ6VErreWGuHMbSnmGthrdvIPGniKrlFDkZfRKEUCwam83p6Zjg5VKAPr7w9nQJ0f1S0EsKwXqRkJRrNYz/AHvLE93ELt044l3/AMYpUAt0QWFl1zgiC2EOqtkpZQuKADfDFPYZz48RqIUNZa/UATk6P+wQlI3gIMQ4OHSEbieFS8TRjDCqiHLWvqFDYLDhv5iy26E2gsZTd6S04t5/zEt9XbxUzgpxz75qFIU4vPbxMCmFc+ZdmLUaiKXRuWYBgOQFfOI8jdZYBc8XFQyDFXXWIaKY6jzC0u9FD+ppRB3uWgyT1h04g9AzxZABcn3lm1DPSGvVWDG5lRp4vs/UAqKwvEwM61dr3HMFJtLmwBOLc+8TAVsXDlDa8t3B3NF+p4qNfMoHNCMioamECqVluGAWu2YiV27Xui+SCCi7sGKrGtS0SvVQyLn4gRCukUzRfS/aIUFLBgAxGeWAVxznMeAkCs1LVAI2o1KhrRSUuaU063FzS0TkikLkqYgthu1QfMycHNYxBm6ipEhJ3MRNG6XXWW6VtbfePYDsws899/EKtWF7LV+SYItV6IHrmWNBXEFME8FS7v8AK5XFWK3FABOqXvndczoLrjef0QTmSsu6M59UlPHpEi60fT+I2NSEsenP794SY0c7NV5xLIHOY8Xs4iQqodjnDkYnboa3KRgveolUKF6qFYIF8c/E5kph9x7oekJ3Mg5ex0wQ6oUj8iS6qFLrAb8Ex/BgySmNkiU2x1lWsDyDIlqFt3zMEIigdkdI++4asOHWDK485lSbXe6hFVpdO667j6s03eH2nwuvfvMhfaA+8QXBqw4xA1Rnk+kRuKvWn6gWG0uMYYUcZvmBuLTKZlNVFMgbPEbFh0DQ95Q7rtuxijjHGIpnYxjp5iO6t5LYNpenJ+yIAJXJf4gEi4rJxM8K/vSWWVyYO119YlAeBgd+n28wWZXaCEw+syaU6kVuJ0QFhXkpKKGjADG99I0V5u6GWf7+Iu1HOxX6iMNvPnzHtXpLbgXW+lVv5qJuovkkXMge/jMYJwTl/k9IN9KtRqUB543BYmAf0QKCuVYMuIl701diVzqLDFqou87z0hY9prR+4aqeDBVc94pcJVsXaAgutAOJoLBRolqABdIf3KBolnD+5hgyzhH1AcRTNEaahd0NZ56xG+FgvEukVm8wIInQIWsBziFtxfaBxY3WwaVEvQGW+ckNd1d+KfudR/fO/wAR6MhBFttWWDgx6Machjzrvr4miWgMwCUzUL0BCDLGg5t+CMQ6P94iUjoaVftmZuuwc03+YKYABFs0T7jwWkvebfEMlt7Q4LxcykMeI7BfDOcBQ72v7JmMtjyX+oB6CRuHz4y9ImXorSCIY23t/wCESDeCjDVTO+zUsZWzpbCkgVLUN1FLcBa9Iyojl6ukuTHfdEytRuBTkqjTioSjbkuOKfiWAFHbrWogUXetZzBrG8EoxLcXdrD9xLBCqOSBjZa4lQpdgoAVExCirbNc9Yi5HNcB+Mxbq00prp0hrTQq2i6bZuOeMsbgFstsMRo2i39SsiOWFgpRy7vaVrA5gGsYgJcLYAR/iIHdMCLIsb5axiKeA0W/7EIxbmrgnyHNOYDCgspMpGSY3T8TOoxirN+sxoNM56RORkAoyv1Giomm8CcRARdPlKXRG3lL7VBu3fzLDV14DH3BqGm6yMd3YUW9gN/EflDFpz6RcrrwX+okICvCuuTcsFBBMlnWEavL+sxwQ88d/uDuthFvcCsAw6CEw0L7A9dwYCb2GzyXHeVqujHHfmWtut5dnMA4OFCkO5cZgci8Lc2lUUbIGmlNn+JegJevL+IuXWI7jYG1eZQ2XKiobNgNXrP8x0QygXqohM2wJkvG5ZlWhBFqrEFi9I2mpGzeAesWvPP7iYIbEewS2GQaqJETDlsi7Y81FRYFdpZ3THZgvAzovrFkHbl77hok6oeq/cJLEOi/EBSXBdW/qGzVq283X6hVwAW6GB7PmG5dHebuGvJApW1vMuTOZbbs7XL2OE9gyh/9KZ7YYtY57HHMXJcipsNcwAnqt6mZhxsdYjuxCVo+jiBmBLGcv9mKt8IgAuJmKLVYbOkHoOabg8Lcc6qpUXZFWQZeKyjGX6lgatKlymGhl8oYOAw3zE6Suqy2hYa5lRttFAX5lAgkUm7944d5qlT2grIBhg53ucGCwMIk1rMqj4jU0XTVhl9OxwfhLassuKfUpYZb3USGvsMWBybphlL0FFOJVWONyvwEyAG3YrDjovrGwNEazlGgr4BqXXHHUXmLymqvSxDo46kqdCCLAzeM6iwxgu87lE80V9RJGQ6JMmS8Dv0hmJRlrUqqXsRIW09BKZAFOKtp3GQogGLcwFDQiKvb4SMe9Izhyqutx344lPcZJmMxgbvjEsVVXi9deO8o6wDLN74hIlLRa/UpsjTABuKapXCjLcnt1eoWkx5uWKdA5vcEqmnkIed3vq3NKYN9R94mybVklw46cTiLPeNWtSu5uUp9Kto1R4Ejk2Dw8h8Q2DrA6sRB09WE7eXXmOU0NlOM9TxLWrbOnDv1HjmDeR/tDEUFpn2p1zGxyLgp1W+0VdZPEtTZb4nAVvqOi6zPVfqB6IH4P3OCEwMKEusdI/UaobfriG4kEVez+orcGJkWVEXnp1/yKJQF9YVEtsjQtsS7EQ/RG2RR8xqTQFWLf8gVLAHetcxWwRfFufMAVLG6xErSwUtggEX138SgNUUdax+JgCwIr2irCgyYzKCC3nEtVA58zZZ/OkQCwXzBBbag/K41nr4OvFxF6a9WnMEFbpRzmGEExVA8fqbqW1TGajk0zwJI3PeoGj4SicjIaHtmJqqMXV/FQWAQ4L+GIAAHgtepuU90aZSlKeJR4pTAHshWEMnAhyrS4rcDcWFv/ZVkEjDkrrXWI3gFV7RbZBecHSWJKt45YuBDsijkfW1YmFefC1/bl0GDvEVGy2bI2eAN0x9woRG9U3cCjVoqUVVIOiEpA8y0gcnSJEgU0b/sRs4W9YuGeKlA9Srm/ieYeFnf4DVekpQEGhVrpqUXlejz+oKjJoY47Pf4iRvWKBZnWjzGGVPV1+M/MyKXG6/4gUNXGwq8Y12+JWMDbTRfxLgc+Tb3r8xBpRZZR4e39cDBhhhNesRS3vEyfEofKg30mTPonRx/dYBzQzxPWUDXHMrSlwmHWFa9xm0CZevPyQc2KKOmD8TUbrB3tZidAsOe0YYFV+FftmSN3FcVcAZtK37NfuWpZ/1S0ltVJkBxfxCXM4fT/ZQA4biIp06QuPSaqqE/DEHBFbjv/sbXwEjKx7hRwwbIkEcL6mi819UEqEG99P8AYGinfWU1r1MXdPvMNc+ZYY7E+Ic7Tb+p7EPYhAEG2A9YMC4oPb+ZatwqHAPH4mCDlacbgqCqo4vT71KjDRdHGpRBT8XRKflgLl6oCfcoUpA9wBCqEnDKilzq2Q5gZ4hlcHOXlBUpUPHEUCZaxB0CNlUxrlyvPMGFI64N94OcohWDi5TmthBbInPow3UUFqPTRNashl6MVpbAoCbDTu6whYfQ4gmEVe6Zl3K4cHfiCwTix/zAEg25TEr+mzpLrQm7cS00rZMy2IeiFkoiWPU3smf9l3RBVM8QR686h6h1eCbI9qUvZKnNOJmZWzeYoHJTvcvtapwPEGXHqSAQS0+X95lLgeqDv+JlgAo9E0IQOKQuQBVYJtqu4e8q2BgDO5Z9psyYvoTVHYX/AEQGDcLXX3F3GoTaZKWwtuvucq25N9dpjok82qojbPQhtiqsgLLczppZRqVDKNkIUlpouMoDfSJALLFwWYlgVUJkK2aoeXHrFKsLfF4gxgFH0K/EJXB4dUH8xWuBg32z+YWfCpuEAFAt8zGrN39P6mq2Hyj3X6jw8fyxvv4o0ZafeUuXG/pMSnePTcplLAuAUOjCE9J+0wr6PtGdyj8TCRrFgUT7n1NIc3wlnZ+s208yuizChyV6wA981NqpyH3H3QAen+zP+m4i7ulR7/lAV70+CKHelfUDQAr6YmqbfcTrB1fLA2FCt5C8QsqRUr2DmIdOfuGwTRZQvmJKtJBo+MTAAba5fuFiJFoUPXrFljyD+42COl0uXh1OeTqPMDEo2kCUb6vO8V/sSsoZLsgugZVwY72iYoaqCVTUWr0zzERZDKKqhRwNVlaN9WIMV+D/AGKVyytXk/M0m/H3Kg40Bbj2NylxCtb7RQWFuzPWAmsFhyrfe5bOF5pdx0veo3ai37OP7pCpMDRh1eYbU6zql488TKWKzTuK9UiwOdvx5lFYeYfuBD7SgxUDDFYWumJQky7A5JvibMthvy3xHa+ptsO0F+15ZcZT1hD87SZtikIviwoZlYnuHSGV5IcYS0pt4Zgpnp0fiayOXPrFyBxZtuuvWMzJV1TvXMxClBV9UKs25z2mBtL6kfiC5HeM17yvVFlq4IGdFA737NQI0K6Jz8y5N5bh14jN2On15gduGnbbDaDJaJWlaGl+sp/FWhjAAWHpV/UHtmn2hryfifG/mI4Qfh/U3GNSEAHDXtJ5eB9yy+32mbdz7i4CdvI+orHibvifyOqE1oaw9Wbbin1EWSgAlKicG/xTn8fhjKt0ZeifYy6Y/EQWx7y1vyj8zKjr+Ys/P2JTzQJf1X3MfKTgvWvogz6afTOZjMXF8PdlbHZ9rfiNAORfsjW2Kj6/cqIAYa6WX+YP3SDWTmKuVhS3PDHRVg7q1/hGVG4O1fuZl7CmsZ/b3mYZMXOFyeMSn6cgVj05g2K9yogl1bih0BkN/UeVYHI8wxNa3DMqs6IooUKk36TyGVkgeSph0RW9HoJc5VL4jTCiyrOCVBDTIA1kPQyjoULzWX9QQFblN04uZEJA5pxk+Ym0ECw7Bs84hMSVwciFPbLLgKOVxon3EppNUC7zj8ROfMGF95xs34gS2RNEa78galmHmJ3Y+0MtmXXSGiGektI+ovjd5fYgiIoB26EfdgeEGmLdKFR3yivQoK92UxHIetfMUMwyOcQEFymrmSzxCCiP+SgqKjjozL1n/CBTcUz3S7gC70P0nQDN7MFJv8C/BLpaGdVKeQ+4ZOXZ6s3xS5V/d4QJpfaG+5fuPXdDT7yis1SvBA0XYPoiH2YPRxGI1EjuF/3eJxRShTnmumIMEUAR0YgWyCd8bjRtxkdO8UGGpTtge9rA98L6lNKsu3O0/DNI6/WUplKPeUrTV15gWngK7hMhN2onjMChF/Z+Jif6ylhm8nni5S+7/wCd2eqflME/uuIqV4XnPSKs7fnwP5jaPWEafiECgmLT8xGZdWs6UfpmBr+onNp0vMoWg2dTMtwv1BXBG8bVU+hAoNAOb7D+2O5EED3gZa1vz0+YlXMw1hvT7xWwpMt3ZL/usSU+PklwOh9EKJVovoCxFcAL8a/cZVoP4hpJ1/cf9HMMN1X7S6is18/qYotIU72jbCFI5uqiDwwcdsRRSBDBLAxABdFwwAputvaV2Bil4W6l8oVq+zmUAKY76+Jde1inWJVeY7QS9KWY44+MwiuiphRTR7x2XsR8WS9JDXQz/kRVo2bKsUy9GEI8uSIpVbdrC/i5Y0vQ81/B6ywhDPC/+w2zCPF0C0YlF4tQ9LlIGh7TYGgu+ZZYDTYEBwaCihQ313AL0ac+v4YDxYWBi6X+8RLovD6oZ9A+oVI3Axy017yoSlQcGlPiEZQSXGv2E1B1fJ+GOEPRHjXtAUcSxwdYFMUKtVzxGghq0uCzR90wu3VNBg1+E+0zaguk+WbM7VG4bhu6dGnxFl6v2jrzkd9dE+4w5MpioBwPqOW0go+pMOXc2GLb+I742Amhtc+ZSeK5s0L+zHrWKfCZSVaTV4PnDL9QANK5JmHq1dawdc8TtpEydWuh2mQ/moEwYS/eWAGukCKzd61/ZjZx6QQ1yfMuvZNKc/ahoUabLveIlP18f+RH92Hdji3y/UTFvQdamVjBq+wfiaXiBlHZrkmW04jRkvPtRFGkRVXITEXlNeRKSNI2r6wpKAD0Yc/5D4JINeg94YWEGb55ZWkW8tb0/bMJBfHhqWzlK+Wxh8QCwuFkXVr/ALiAYUvgz5alFe0tPUpFTOMfSVs7fymQHn8Uw/lqfMfbMU7/AJg2L0/TNk4/aAWdyMZ2T9QUfRpq8OR6xMKxX4gOiK/Mt4L+N/qGgNASDTySXK6P2QbuAe8SoFNPqIt4L+4qC/tRs4XSSNlW/mxWGVUr0QSEP92BiXM73UK1WwekL++xXUIMXuPzHiGWO1bUgtYhXzMgQ3Zoag3o5TyIwBUK9bDH3PEl9UMwtRrHWhX5hr10/OVX7ae4/cZjOM+7+4ajgW7ZH3DQNZJkvZUaUG0tOKK+0NrPKW6g/wBzEeHy/cMYdfrPWSnm8vRd39qZo9T8sOSs2/EMwBV/Iv6mbdvzMfKZa3x+Zt04Vl2v9xFXgfxLw6GCtjFGRJXDi1JkgQ5MICiCmWuqzSOmJlqJeFs22Jpo6fEISU3TN3nrzKeOU+WZgckSkBz7x2owHMotSwarRtuUUOZRnuxPhhAzWlI6zMtuQHrURTEI/wA0A/2Gp2PMff4lLgg08r+pjlLZl6rGWV1/8BpBpsYTllqoZaZUHaOLNhMetPtf4hit2MA11iFEQk4NcEzHLWFun4lbzlUxC+y6GXHj7+JTlDYHJM3WKZeCw+5aUMV1Wcl+Lmo9vqf6o77h+SbfSP7fVL14/pOHj9T5z7Z8v8x8b9Mx/tzP6eJ8f9P/AIrZ5HzFYcB+GfB/cGT3/mbknw36YvnABu3d8xpJ0Y8kbUJknD0lQ2LG6M6UdUyNuBdr7xFz6BF5+5RJwEiPIfzMS1oOun5iVdqh1xj6YYrkYxlX7hrWsb0IcPq+5jJRhnnEVDpT8yp2iuQB7xy+ixat3UQsE5OuT6AxHGfGIr8MwVNi+LMpxNjwSpBbkPFo1Tp+X9QAzAC+j+pXJ1/UrB3yVocWSesaIDlx6F/MqXNv1Af7KBqZoPXUqIKtpeMPxCAkZVMbv8x0RNY/MpsjoC8LIWwoq6rm/a4arYSgt6Q+YFybqPlUtnoj8RCjiUNWwfqArdAfcxHZej/p9TQXoCYByMQuYObFgIb5hRAszSq/cOFBBRossL95r1D2cRFVzR7SyLM+sQaGnkZlgzfeIlobe0WKWPMyDgPPEbJStZ1nfzFS594Ylx2PQJW5sYem4vIlxttvb+PuG3gnGKxLEXy3sRQb32ivDrtLQctp2l4y54gIYR2UXbqYIHh6FfmWJnBoc3Dv6IAIHG4DeRsFMwYE9DNZhDN7JdrEgrDAPEE2N1voMUzSPrr6R5zrOTwfkTmdAgixBF6wjIpTV+Ed16fVHX9NoFA6/mH3lfpl2VjgnrDZ3j4f6ZnCw9X2hCTdvpmv2/cdO+v8wZIPnvzDn5g72DEpmBR2JtVoOv4qMgYC10GvzFuh0tmxPSyFp2W7ypV5fE5NGdSlNFxDhQYcJTfmJQiUVndoWkUNd2IZAcWPJR3qUdQqveOrd2NZA0+bud3GEW+oYlrLw/cFtrS/f/JfuTa2YRr4lDaAHDWRfL7wzjgD0aX41Cwd20HS0rLhCee1rNOmfiKE0jHe1+mLCxEu0iN16sN9lGDZ/wBUhJlePGpQuGi2cM5+Jc07S0Ld4iKB7sM2AUb1nEfSYAbzRKrdN5c5+oOPWuvPtMXacG2CvqDPrespJWzrxmOi9ancpSWsDpo9I4BgPRmdwlVyn4jQEDKbHmu0Ijnb0IdtXlVHWXEWz7S03udJsF5cpgXIl2NNeLlWqtDXTTAHvZ+I1aKuVlg9Za+j1JQWm2Fu70ioXLaLaPa9QArg2PDFnANjXH/fqXDfU7R4VVsa9oJAYy0BySmXwGipVkKgm9W1Ow94GWvWxVWBUGNtdIyJQG169PmAp0b8H+xWzZ4K3gr0IqVEY2L47xW3VXoV061NL6aH+8wfM5eBLQcd4oLcmDpFk0AheiVnszrFB/O0xS649KjgrSFnpGVTCqlyHGBHoGU+3+y0mlj2f2JQYtICyq4uqV16e0biFYDW8NvEQVXb/YGqqmukA5oCu2WVADkLeRpgHJlU9bgQoXQae9fcO5dVW4uSgBC3zE0DYvS/7IqOry8Wk3A0OW8f31EBbMrDVmYKVkwnncPv5FvfL6iNBEtgXRddcRlGHU2nMdVhHuCW7xy+XF3du37ITvINX5xKqMdpn+DLF5mZ+IW4ODOmHsCLHeCpKtoS+R84IJOALafP+wgq7KaMEMamSOReaFUXLLBAFlD8/uJQy2wvCe+vaITcAGd5x8y9cWhSMVFS5UZWro6dYCijdL7f7CpVmFMwoN2/pFDYunN+8cMI54x7QHALgYz7w1RKZp+JZVoUCFwd6BviEAa70D6lQ2tMbe0GgWDHBMF4uoLzAYSULDVMGeCXhwcaihv8Sva2dWVry4RWyYlFPBUzb9BG9Ee8oSlbtLLoIabD0+Y4gV4iGs31l6mg2XiEJZFHj/I+C9PWWbv9Robq4FXrzEOhgqgjFWVw6mYFObfB3jIijFRsBdd4NMHfR7PZ/tzLLVk1UwqDppuXjlcou0lF/wAlLar6wWmmIbVaMQ+JMsJ6r+vSUIYj8r2gQ1zAvjXvM1jbfWu3GWPQLBW7RlQ6Di42K+5e137yggq6Xs7SoBZyMACvIIDNRtq3cUhkpOBvHdqIN3IOqHEAdA6vhPMu1YjnPeCmYTFC9T2ga4jYNDSNEa4rbDTWvEeChajOoPKyy4xMmSoN/wCJnKG8OJkoRStdoMSlnFQqpACssWx7MA8PbfzAgKxqt+swILaO/vL6tIK3VyoNGvteH5hiNM1We8cViIteU79uYyJDVP7eM7nHpEGnHQ9PghSrQoWaK6w7bAUCx28/UoBfsQRwGzGFlYIux6Sxm/eLQaDKZE/sqUKbgaxiviGzC0LN8ZYvENDvFVXaXRMkF9UOvyJdzPToTDCpKJs/GJRlVhYYznGoRBeN4vN5lUlRvUJKgqx2r9TTFFtDWcL8Q74rdPc9oy8zXA3mqu4jGItLHedVmBUxUeDPOJknp7QmArQc4fMsTjZWoc1eGd+YEnOcbu7l7YnFUh+4htm4x/cDydOR5Lm9VbDfWe3iYksdKlzy7YhjRLpMRfC4bwV9RiCd8mIDxl2bhChVWY4NzbwUh+Uq6w8j188QzItmWH7hYLKbQenf3jCkDkXH+GEFIaek1wtaRqWChKg6xnrZE6oMW0BzLQw7Ob9S8KBUHB63T3Zs4a4o/KYihec1VC/RMFZVZRxj4/5LG1VFEvyzk/u0FpXnD16Sg8QycSWWYa1T3uMFAdZdOrlcfqJiKrkceO8wvTGIh5+fEsbS0OXrUuKgyKaNnWCEtuAY4+4CLKNO76REVzVnWWLk32he9KZXAbFdYA0ejCXXRNMnzOyXCMypswRMMbWZQBZWX61KRE6TUwAL6zRA1i8RfTRTMmqmmf8AYibXWZkou4WqfczssC4O2yaXKrTmFbRRl/2CauUcvxFstODbPvKYWehCpAGiwXll4oBM4xLJKFcpdWB1MxalOuFV5h6Eu0W+lVESqBDO5jSC88RkqstFMSkTFWxiFHnM1MimE5igLQFRu4NJxAjXJ6s+8pXb2LEW4la5V3hroDIrBfRheZkoTQaPeOSbGcrcJDm5DUrXULku4EptWquUUUFJdy4jbOm+dV6wYQeL8xAEVKErWagHKpEyVC0GEqx9VEcpxBWvaW0HzY/UDnLZijHpFIIOC2bhRL6zilQm9PdzF3bJ/LzGX2AsvibKyhOplR6RInM3jO0uqyDOpu2U7kSgCX0qZ4ax0lDRVHSKtpbbjkejvvDu4Aw08Lite4NDWe3tAIe5pxeKq9JAKHWORvIX07MDER9hw/vWUKKl8US4WLNAcC2RWsUZ8ZZwhm7VX0vf1G2dEoRbzg4+ZdUOkIqu0vC6byBcO40f8jdFB7PL0cS0iuYXa6Ocdt8SxReS2UPUx/s50PJwvtr5l+mrkVjlU/UaGSzWPojAgpelVMUbv46xBRpgdPxKQgBayCmqxj1zxBQXYODFOeDcxWBQAOu5loRUW2zFFY6SgIvFM2NOdEoAqsAl42sMUltYasjnlYPY7RFV78OswJxdYAujromRakWGQK4wiM93T/IOm8rrG/iVznFzj/JgK95/kYu2PdGSTdXUV3KK3cQByuHHDKW0+PV/bibQ1Mr/AGX+JrL7jRf1erHXVjWevSKKnyXiPuNUrIXxdvYjWyvplBtlrom1itGS/wBPSXBdlcHWE4nY/wCSlJtOXfxKdbNbgrP2bi0nIqoL354gihvjjfB/ka0aTTeK/cQMb39iFvskRFKHUxzDC5K13jyGuMQoU81VMg2rlCAUHRSlVcLq3yJZ1bhHDnMcNOi7OualaUhb4v8ArjFg6OJYGxsIcbSDCP8AdJdRru7paic1YtH90IwQBkpcMzF30FPmVzebWqz59Znpe+FdeZi5OMrn7hBBXmB7HiN0wypVQViB4ahFscmg+iMUnPQ+Y7oojVpXxjj4g3KhxWYFLTjDcDdL6kLtF2S+8XNRGVV9omqZFmf3KxtyLMSkIzdpczljj5jk2QVnNfEISFHPJLNUUh7xAS4C1547wIw4Aq6t6upLCzE29Wq4l3cBpRvtjzfpCocG9lHhvHtGpYaFNUp4h3W2FQeR4fU1Mx5dRrz1IYJZsIp3FamQ1Qtl2XqwiByp6AHvo6QxmxGqW8+cfEyXA6BaehffEo0hq6iU64LhaFDmlQeDdzK3mDhz2gFRJM4j6F6ltKRKN29LrEMalZ0D7jJfFYgvtrtLx7tRdi9y4iReVqy+hKLd02CUviVLyFXdXjMGc7iO/N9CByLYKp+ogNGKDL56sv7PSUbvQHWLApTi4toX1f6jbkrsKKiSmgLSqYghSxjE0K8QDvDUixVS5a1GR7stL8dZkmjSaPSWXkAP+sTAoKcrGJVTsOTpCFVnIGVxx1qM9BLdv1G6gFQ2z8ROg8DfvBajG6DR8RgpNhaa9piwoDo/3Ktt7t9dQHS/MAGwq9AlM9HOGYpFKXVrWYAnIxkzCIhznO93Fh4ZBFk1ZHquXAIjmmToczagb2gxrRmmoFYltPfcbiuPF/MwtN65/EXkR0lZed/Edl2nDF3ZRt51W4rdtjVo7zff5jUQaT7vlllLMBX/AFAJtNhMdW0oCqvMdTm6FYWQ00/tzJG9ZGL9IrCtNIEI5IsjdektsEVRdQLOqottPSPVNiFlM0F54g0BquxLN88wD00wWe0WKUZC0eN+GKQbqq3S/iFwGq1feWbsdHcDPUM7g3RuIc9Cga5hiqrs7QLNXI9XtKspsO4nX3lDICZvFQzBtV1mC8pBaOSDapd9ILNzYoyxxVwYUUvQ6ysb6Zal2WHyYvkAYFg9QIKG51cSJidbBmTV9+8uWpgoGPECgerfQ7jTKRaowv494XAIHQJnrzv61EwFxWtutH+zERSAtFF48a+4WgiLNKOveFWyvL847QufCLdksJxrYCvrcQrRo3af3THiXIEC0VW+gb+YbKagKCG9f7BV6rcn33d/iE9DBba+v17RGtlC6Bqle0qBsOQLnt3lwDgVeniKxbQVm16bmRFM0DeOYXsGbM1AQJ1DS/HggqUB3cAydcjFCrtzcp4ev/ktawPJr0mQWOU1MmFc4qGOWzuUNcuMxuBtDib8OEGgLXMsMmjy/cQBbFOHSOCqro6fuLALVcxoii9BKEYD5qHOjqjdw44UauIELHI69IlCG+EuPKXvqJY7Bvz31+ZheWKNMV4agZqqHFymQToS9V0Bi8pAIe8aE0vnBAJ6HXiAX77wzNoN5H/ZZV0hzSbeHCm8qslKxnUDAAuuu4ZwaE6+kGhQppBBotec8ojShY4pELhStbzEFx9TBKJRxv8AxFApBxbDqNfY23cHJsoBfcqolAozr0xMBa4pc9TpODphOPWPWrlBGn4YgZQxd7bh1Qw6E767xzy3Rm9hV+YXENXisjb7RMZ2hYYjsMQ2u8nvK3/hhjnb01FMAqAqoHluy089Y3BdjFC4ld1yYxCuDpuMrlFp6RFkIheyLjChYvpuZCAF5rlOsMUTO0XLAVcDjTAZTDGZW9RTgHTMa9KGhB5PSVCKF7tfsbjrxtb7ujf+/iBQJ6RCx4zEucCsK/jcKKTG1KPB+o2ILKr7W0ogGZa7e+kJV23PA7rAlcCmmHWB1HEQ1oBA92OZc4uwAV/MQqAMNjvfp8xW8VarK/szAB5ta78RHNGRmX7gAsAvk9UWRe5y2/PMBq1Lq8B3W7fEDrQQOFqzhZegVhFbvDmUlxkohVx+4ixmIOXdiu210T6K5/yHoAFrg61cNfFgtFjts3LuQDagOX6mGBWLWUUVy3VoeqXuFpaJd7iXkau83ItCIZUNK9/acigTi85OmpTDd06pl9d5iTRdGEd0BPKO1ChQDXhBuwWINWb94ADZrF1Cgrkp1+plwXwD9xyFVgalRMDWyQVBahaIXzGeISWKpV+kMm9S1bGeko5VYKvD7jBBwhML19JYnlBWohS7KzL3uVAZLu/3lAOAuG3xBAa8lFxFTTAlAjtQl0yPHpGrrrAYpsXXOPlCtxTwhyPMM1bnS6qA2ammw+IAbsBul/MByhKxalMS+6yYoEC5W3+/MRb2Sw3Q+naY0Dqc/wBiC5mmods00tfMUGlrrEnLeJvgVwy6Zem27bHaWBFyqNN8eIkSHewH5gJ4zUhZ0l+IqLa6K0u/aKOZrm+K+4QPCVTpL6VOuCViHWRVX03cvq1rsb+ZSHJ1gINDfB8wldfc8Ri0OusBelDyOf7vE3zEOvT+9oaA5b5YllqVRt1ANA3yauKPStPMolCPeFID1c1CjArWbgkX6ZgjCmdXFCk8iXB9sKL5qb9r6AZwaZ3gjQYoYU1XciSwbFquHoBLQVuLl9qMO729WBMizDcOkDAMcppQ6f7EezWhfFRoza68wQqBXk16kv4DlfH5i2VhLRFEDDaC/TXrLK7sFD6O5nJcaUO8LSVHa7ef1LnLSKw98xLJnoKL7dX/AGWJaOuEm1EWUHDtEJNOctzRl5ar33HaoysL/mYNAxSmB8hDq0ThqA3tl6zNymxsi12Zw2TJw7zK3gOeT/IMC0Wzo9JaEVVT6iXNG7IBM68tkGxvHeEBAtaxgwxUTY8F4mwTyO6ZhAHMOayxkXlpZwxmwKtLrTD3CrwC/cNvAwxmL4YDPy/yBrIdOuYapJBcE9OsRKcgXbmCChryzChvMyylGsbvSs1La12YOihxmlxE9ZkAv4lUDME236TZVhi2JBYHBergszae/wCIuaGGh4R6Bcur/iKqgpaxTr1tMRY8xdoLnIIttjNhmZ09JcaqlOlF/uXIFmr5/iXbCu0yJat4/MRbIZxW4hmziLQILCwgWjsC3P1CRARmDP8AwgHVG8S0794AJyFQXQrm/M1PJmjde/5jmBqsaLrz1hJRdF2O/WFb5F4x/ksttV54/EHwc4rfrxGr229MfUCyJfUx+IFbPf8AMQU/OIBaIz0hKWj5DiLQadFf5g7tD0YbyZb/AJjmpX0r9zqCzeF4XmWE09BgNIwZtqLCHMws/D+pjCfH+RSIeGDHMUPJ3goqA4K8PMIMAfb0gpO4Y2fVCgB7HPpr1mBBsULloSOAMMMH4UW6gTcB0az9wUUdFHOCNgI3ZuInBDJZUcLnRQejctwq0NvvHsFW3l7sdoqMWTXU78VAqKarGw7Xgh5zRk0hUJPhWXSsSyIxoaK51AKPTY7CUVoiBTv0zLCl6zl6u0W7Kz2i9b4g8xvpHK6G+lTEa93rLZMM1nURZS+/MCseGLatD+fmNtsG4MG5WMOJZQXuPzFlaPeLTWIcXjE4Gj6S6tuG7Yp0NZV/UQWyD3CYH1ViV3B11Daa4P3iAbdasn1EYj1MS0mueL8QVLPGb/yYF2LzkjLsonmCRVd6dRIzLMvSFtG/aEIINnSLg0Yv7S21o+K1USyNZ4OnaVKppXMIrkt5x1R3e0VjBmIME1nBDKoxkxvtCFlwp5+ZSItHBG1ZHHIMt3R1o/cQyA1im4RFOfD+5XBIXpBF0eCvuGCmt4FnzChvacNEwFMH+KZRAqrhzloisRV7Yav9QMmRYLaYGvn4lxgtCiLyAdqU4H8/DAsCwBst+osTk3b3iWWMOccDXzEF4haDjdRqCBgK0U8xhVQKWYvBU4ImgU6t+CNStihXzNRYvY6QiqlUpHDK6R3JsA1UHoCworp+4YUQFh5VCmNnxYafMQroj7PuJCNqYjSrPqKQF5xkqONuXecynRM16wA5gZTY3q8y6rXqZQDb3lhtdTQBAwNDrMVQc2xShaUXM4yarcJFjlx7Z14lodli3EAMDbSvzKx/Sjw9i7irXcJlJ0ogCATpcWZcJWheeYIQa3Myt1LIvnpcarAxzc7TfeY4Bqg2TgphNwBSWZxtloj1RdzcBeruNZtfeMS8GLi6+4/ysAHzANrbfAtlNGJarYgkfZwrDtOmUI5k4SCPtEziuf8AiIuz1ejxCDFHRT8QQWgriwmB31G5UBXXT8SqwsNkBKNXaXujZvMqnDY9YCgvjNc35lMVjjs+5dJQbxX/AGc68mLmHyNAsqwW67I2WBTVZYOwoW0alxEXGUFPuFtS74w7gwiZ2MTVLpQ38QDinFj+44ATGagiy6Si5mbv5LzBjDfH/IFdDrb/ACUDgOYCEPDP1EKYKzv9Qpq1Rx/kuZ1ecf5BqIR/cRDttn+qU8Lhq069oBcd/wA1ElCbXn9TfMa1os6aiUZN9/ySnmN9R7QDZwqC4mTNWk1qWC0zwkIWobBi1uHoKrzcUYIJSZ9olAzNlmHzmL0I4sGuv4iowjdnZ6RJWlt5zKJClAHCjVarMuXZDsdfM3aitrv1jCg3tWytw2WjWGTmKUNEBQPmIpg4C2dY2gHEydKsbRQBAQBFbhkjDPKfWIBRZ6hMy6vUyEjhw9JuBSalIHOZaBksITroL6sW8nUjn0OPMoAVfOrfPMERaYEsWZQoKm3l/eGOKCA4X87gQs0LWZVotxWtxtbGzFRqlRExUWqRTlqBwQrZ2gLVnG8ZqNLVlQrNNwyg0T0RogDGM9/++8tast4aJeIvrEAbKA4O9twECxWjvvFIPI4gdzqCXmEgRmritLAmu7j+3K1LY2MRSha9dL+YldmERwZzF/ZotxgVU1HYBbdv+RggdIZHn8S4cwD17d4FS7l1frHEjatdYw/NzdGMhr+1A8snJvrxK41p363j2hUtDFt18xYXshni9zWlq3QviGzlXOeOzxDqjJ45f6o2WDMbvUPxUSIsUnLlzDsnquLgzsq4vGAUo14vEYJwGen9UIBQWnvWvkmEoEUse0IpVnGcUysJF3EybEBfFbjkMqinuZ+X2gAUaQ24ykQMI5uaE6IwwUKfKsnfcIh6JLbzUuboF23WQ9Nx2ilMiyJAOAB1/X8S6hzVLvFwrTRxpjrqOJYYYvLktjjmHYqYrkwP5+JdtbQouS+PMKKgrHdf6lBqqrRTfsTKslK4XzLglLF3f7iDLLd7x8zAm2jedwrXFt7YAOQebucwL9XxGssKJV53fSMMsz1QZfTv/ktdBfk7fqWAAVVvmKTQeGcj61ROPctlMbTeJtsFKzO8pAoO8tfcqvnwyng77zIKffugVQPTbE2co9mXjjk4gKnNfnxFmVz0jDJ8RRLrjpMLP0RVRDhKxBsimaal9XMq1vbUc3clC+0RA6Do9NMc1W4Uh5bxCunmq+D8Qyb22CFF7wXlu7OGXtq5S8QAWE9Gbt6opNriusLCuT1694lZnUqjZbOe0JQaxADOb6xBCnKP8qO7pmuH6hE/7BN5HlMzjfGYWF28VFbxnrKQsJsVX5gwQAaMle0EFavFrXvGvdr9II+UjRAOC0D2SWC2jxrHmXU05HYcA9YaDtpD9zXYaz/MAAd9f7DO1A4vjHmLbdQwQxedNcfcrka+qywxm26XEtVAzTrq11grQG64eYNuw3rUIYQ3h/crRq7FEfiCbzd8QGAuKFHpDzcvZh/MUAa0Xa/U5qd6zLu0z/VEugLru/qAXj1zn4ntHfpMoq+sojWpKsSF9gHyn5i0qQAqjvDC/i04+YeeFrm767qDcemLv8kYkLK3ffxFbwRvq/qEvaJTd371GrAbdrf1OXdc217kTK47t/UaWyuAtLsxHkzBgNXXftLHkMtmdwCw0XR7tTrTVu0Hb8QezKOrsBvPH+QFm4lV+Ysme61wehz7xwgMKKusZlAupQ6sYIzJfbpKVGkys24/2ZDqYKxVfLct+ptwHtm4Nul+Iw6sjdeWviojSBthSravrAEDkI5wCr8EZsi0mT1jMxEAaNIxAAyNFVmDFNXxzBiS6Fb7My2LV260SzEybzAWjVrB6fuC8wD/AGF3Flu44oVRL4uCwGDJcWJndSjCbU53CkqMHzFrZdIxk2lH3m5yoVVqIg/k/wBzD+wdSViTYM+K94oaCbsmVk28kfazacdS5dBMuAlxQKaahUtAq5xmhbjXEcowUtKYl76+0TeGmm+H3mbZDaDqWmilTlfaKNmDXK+0AseHWXnb9g2B9xhvM5YCTao/eCsIpQGqlFY8q5H1ljkbyjZgAsuOVWynAulh6oOLDH33mRogtJiKFA3iN2nRfRxmWI8KqoWgRMvHxGFsVaH5JfWDsMcdI92I4hFuFYpf1LB2MUcRKGq23iK4JMZrVXj5gtVQ1x9JdQNnRB4XcJUIjgLuZ1WJUmkq6uSqALwfiHVbcqWukJFvFWkps+HEQeee6cRSXZ1q0L8hby5h1euC+JlyOhKitGhsCg6sFou9k/iNUULcWPiEbLgMlw0wbERvpq5QI6MWeO8INk/nWWVqm+n6ix0BfIvzAiqWmbiXQrmy/mCutd1b9xMAnWQV7xOrHh8R0vYFq9oB5MXYf5HHv9JRbtbtEALp6v4lZbS9o5gvQx3/AHBsRq3rUTkY6XBZNmv+wMHTonDBtWatr8y4gcNj2iBhOqp+JVSwO4a8YjDC2FFWehPAAqfiDlJFNw/EBQN75MTpC9JRdtF6P3EKFUp09txg7DHPX5mApC0iQpuuMTLVh6yxRrwsV4ff9SyP3AYy5cZ1FHA4yXc6Ir1fqPYKJ5RzDFY4HCst5ce0bWA4GAqIu8u5SHM6NTd3Xv7Q7ihY+z9Ra3Z5bqLyTN5/7C/fI6StYDD0uNtFYa7woLCsZLnVYFxvvKbIXLnM9VTNr7QNoFyZtfaZ4BZvKNuuDJj0g885G76eItVthRpSV1vMUo7N0OL9Ikog2V/NTXIilgcP+yjwLIVT7R0xCzJQ6QqGVhYX0iHVYugqdxotS1ChSGa2B+JROgASuJuWFcTRHg3dav8Ac0BWUiEuUNW61lzKiWGAx9zA0A3l73GlpsnR6e8QsjBYOG9esUQbwyrx2hY1c84jiUHFXcEWiJgr6SzJSlgceveAuRo20VQ3qIZLCzcqDXTjTlvJHQAjEQEVwbzXmHFXVeGuTr4lqBLbLPDcRG18XiOFE6jcdWMKArCsfEaFKIYTmBgXbxWe3rLi1ddnWALWTnC3W/b5lFAHPXio2sRNrzvzuKZwODUG7OrTzxESrL8OXAfiEBUAM5f+wE5qFtINLBwFj77gK0bXX8p3T0B/cJ2nTeO0QCkKFinn/Yle05WLgYHzdwyoFrYLrvBsAPpQQKRZW7fuXE4X1LmkGUwAhQJ08h/MSwC31hQAg4uriaJEcYyxsgBWICORbmo3F1e3Mq4n5xL1jtd/iIiW8mviWBjXq/UYW4Xw/wAjLVau8pRVry3MzUYxKthGaMwsDle7uYwKMuxycpLBKIFKV2gXeW+pFufTpKKbXzUUavftE6XEaLy+0cHVMMvLj/kXqO/SN7pdwRll4ZgQOs5GRoZkNb6HSIxLfK6mLkHGZlcPfEQcNPRA0BrYgUkTfUgZsQ+YC7PkiG8BKIinokFixpgbdnrAWQ9WMXpnT/JYMh0agUmy92W0IDhuWqWb+EbZfLP5iS7tNuJeIN8r8QymI9F8QUiA+iBcALpYTLg9UuVCr67laDwmXgwwdjmLUqy3RmAOTI8RAJdXzFiAK6zuOQtdoNaW+WoKLR8v3E3vN9INIYbslDGk5WWnG989YKNLdcdoDVWnBEbLVtFl56R5gymAcf8AYlWXvE1dsdcx7W+he0sBr2xGUhVxb/sZht0HMzAUV5xBVRGM0HJTdX6zJqlbTCzv1ialDbGmMBIXJAhUgtvPDcoEtgY1m8+8yJIbavEwq2vOmeKgp0E5vDdMz6XiuCX40K1uoC5J6XkhlaGeH/YVKM7f6lQVJeaf9l2rFBhmmP7vL2taxVd4g3NAZczAKI6L2XUTtYtVe83/ALFYD0cJkK7GOPaHRM9YjqOJbre+IuRhxEIC1JtjHtFIFUsY/MXQVZgiXqMOM8QRAIHeRiQoCoxme53iIm2J1NTZyP8ANRDIH21FL5Xp/kxEzm51FDOSN5i1vPMwBy8ksLd4X87xOBhcubqvZ/2X2KgV/wAi9JupL3B0rUzcw699WFVrjncYGQNW8veXQABf7uaOG39uWGedw1pWr4jJEVGXN4g3WHhglLFYtswkUAavO4OjHDzqZHKtuefaNkkwLqGLMOTLUFUBwVk63KKj3WNy5FsawfqUC2sYP1LhbJzVD8RBxffT/JQhop5W8S0cj0LXnpGJZatK75gI8m0besx7C6HF03BI0y+CCqbL0y1n4eI4kNXwuWNBkZuKCu1DG2M0FGCFEyrkNxEQtwuAsVWMAZTS8RW6OXBKlh10MQdXSsQAa8EEjQFM4jpQULbOIDoscNxThXsWRYhaocQmE6bnINYwIEKOPGJSoyPSWBAbNNXBQVIciusslKSjRe4t0pQ6ul7zE0H3U+ou94MYR+ZhShnQrANFDYgfmAjjnVOvmLmadUUbU6WIi7eAv5zF4BxkEKmmuvI/iX0DvmMBWdMN+Yqlrg3T8xS4nPWC6GGuIhUs7FgUJekC6gegblaDbOhiBksDtAuymXEDUYXWvC/cuuGL4Yq4I+PbMICYL1RlnzxFAbOtzOWnZv4i6TaVuZGRO+pY2bfeXXbPH/JbbW/v8RBb6g8OvSFLPNl1Lxu1t5l04z1Blqa30gh3z0Qbe+ej9y61MGziaIF7f4y4C6W/aBwCXg5gLLFsw76wiFa2rXpESVvVT8zNZrfSAdxvMztbzuLROXXcKj941ZYoc6lQ1TS5rxBqP2ZeFmacxMt9e8NW0zctAo1txF4yGM5OvEC3VVlRqmHpbr4l6R9j9RFD4dx4sralfUo5NCsrLiLWyxwt9vqVqibpwzuP1hTer9JTxQ0csttwsOtuv+QqGhnaYqxv1rLZU96YotDRyytI1QzzNzA4zuXRjszqLBClvWLlbOpXzEnNCKUo72n6lTJ11D7hgl55xj6ljhIow0y3uLmGls8Sl3hm6a9opwMZBxGtrfVlqYIeqZnOa4gdO106+INMOHrzFsi2LO44DY5yblq16nJf+zCKDZiumIrAgma5UPzBxFQp1LRFsFsz11NtEUHMAoTuO/mVLerQy7iRYHHl5iu1e267TM17amI0FqG/mYoBNvPxCZIMbA5f9lObt0WH2jkQPRS/aUuVrbMIM9s/mXwKjvlC/KOuogNI92N3o6lEqZBL3TAVpqOwWOmviEUKL6f8iNhB74+IiwHOtfiZKwa6x1kN81K3ur87nGH3/wBlCtN9Za+19ZalLz/cwNPd/cyk6HEVkM6LgStLNW/OIgrVuksSlAvwQgKfaAe/v08Q5w7d/wBRF0p47zoE9IC41w1n6itlrJor8Ri1QcVcoHJMFZEIdsuRhcB94lPdvodPM8Gzg6eYuZXPvC+AFdJcEx8RMka2itNgwao7MQzg3EbFgjzyb9Y8E0aYU1rPUmzktOxFcsB4QKBR60ASrTLJsMpAaf2Jeh+b+YMOTuYlWjvnNy4AIdGpyD4uKW+zj/IKjI1C4NPvG0pwc5hWAn5i12o4jt2aBX2qYR2mVVCI7Bmtyq4PibN4zymiqMcwWTrjkN33qMCvjrKlwHGYMplekBrd0oIUNj2XfiM0l1iBW1XSQK4+Yi2BT2lvQ81s9oSg1e4qlDRRWPzCpuMnSX1TqGucfNSwhQsdFo4/MWLS85uFfTS1MfMDC4KKQjUdXbZlnDz2lFKw9bzzFGGV/b+WIQA2N8X/AMgRaIRXh0mLKGC2IV13guujMy8B2W+nGIimMKnNlx2jlmx3vowmmlBrrRcUd4IOmIJgbaLpYX8szJF4eP3GiKUtlr46QOxl4zdZ13lUaI5eMQBKUy7DvFSPc7hknkE+0fQMrK5v9ShG9t43jEyAyUVEajtxWArEoAWrNnEAWrF5xGF0M4ehEKv1kQRSvaSltLwhh+YWXp01UbOCzbMbFDDnERG8uP8AY7yAaQ/coWbO2JZls6OswyqvKw3C3fWIdlpQ7yrMAUXu5ghScXqoIIrQses4wq0OTrGlajh6zLbdV3jl9y4spEzeOX3K7caMmZqAZC29B7ymdMK32ws0KtIYOFQ0tqStt0EmILCLSzYthys6bgXmoIABobXs/wBhGxtIDo6rvCTaZ2R7dYtAGbIo8RYriCLm19IrdYCh3i5sglD1D+o0n5t3/wBIPhS7PEYBm82RgQswPmvxKDKK9/EMq31oOYgPDgqU0pfYIFZVXoFlJRXainpKWIqwtXERZ2ZX7wFMJwaF+8o2LA1lJs8uQufaA5uXQlXHDN46c/1wIpbhrjrAoVxEwGPWjE1gODeE2zisHqhlePOv1jCWw1S/dME0Xvv2YiB1kc36woLA4zBNCXCo3LPBN3aSpzRp30P5lsva1KXg0lz6QECbAK7lu4h35r/EFGwZQolDVo0fELKGHh/XiCLbq08RwrPc4l7TD0F/7All8K+5V0AeScoynUzKm3xZBUDWHF37kCaCdIUCYNGoHJ1LW7jNYXlKm5KHBiLLV6gsVUGtZ/cQUQ6VKNNlT0lJRYV0MfErxV0lM2ldf4nWHaDnKejiDiGRfKTa2t94EpoazeXg3KIAObpamZBThp/Uztcl4NO/WJjQ5cJ9+0pl9Kr94XLI9wa9pfJjJTZMoqzONQDWnFUo/nEG26Ww/FctLmGA9YIPNomi/wAypd0srF+8WZPBHla+sbIZG2Ok6Ez0lgzd1gInIL6sRDT1qKG726HTzAbuhfb9wejOrhhKFrW8ekB3WTlfzFYASWhHFV/scm4u0DfzGRuXSk46zGCiNYrIFBu6u/WW8aKFNOLgsOkFOjeexBKthWCvaLO+GlbllKc8iYHhp3bn3hmCh2QkaJd0LUUAjGKFJYNS82ymlKsztEWVtFrUFRDwNx7wHJb9QXQ6qlcRHwpKiF6qwCnZevzBuWWf1LmSMZde8Hazfqv0ucapvTZMzfveR/MQBVnQRpumw/D8wNx4CWYjI9zIh2iSCqF4lMGrnZ9IIto6p+Iy62nWdYIBVubH4S9VacYYIj2afEqYG9g894nEwMF3X9caOaNh6pBgAHK1+WI+FMJb1iKsd2Kh2t90utwXLbmOUOlVMwDQEzuIghBRgfmKeolMji8RbrspWbvVSiRFoHge8SJOTdlvb2leNajDs4mosVYWn4jpD9cv6iQYenZ6Q5kazh+oSYNPQhtgoVOISMrKJUy6xwywutq6JRJumwfEMht55ioPfUEbLw9ZlU5Guj4ggmCLSxKhcljnXtLaMzqKqUskvzXtKKVLo0fcHgcsEwQqN4xT5i9LAKUQDzAQl+SUj3FTKCsBY1zfmLhFXFkOwlO916ygMNnkOx7fMESGlPXNZhxLDVWHx7zOrmDssuoI3eqoo+u0rctX/alONcK2+NxENWq6XezNw9ciBDYP5ipUFTGczUHfUxLsLu9ubiOFXSssyVN3WbGX1/5Btav+kFhW/D2jYUS3UBNMC9R3yyoLxMMw6p8w0c6jWc+6ZAETiXGXwTAKurNyi21ycx2OD+7m05tf7nMqPK6+YHl50su4aXzSUpV98/UFhhvcolyPGV/EpdzkvEG6ldjVGvMAakcQXfXxLQaw0ewH5gKkLoPluGdFZSsDpipaBOEGa8y1ae8GkSgGA7vpqXyReVF/7CEKjO8tMcD01nX1A1E6NkFOfcAafP5Iu2BY/DFRJLq1lOviBkXe2lfH5lNvSltvkYEiOivioBVVoxl6xyqvlUKtUMkF1jvshK+oOB/vMSRtVwV2lgaweLBzyEuATgxaL/yKG9QbWn2GoVl622/sQs6F7bXLXe04cRrHDlxFQRQhb75huuoNYrpqHzgWXrMTrQDhe8Kd0DRreO++0WdsixlfXHzG4Xk0J17xiM2GbSINaPIwDIMZs0ytKq4/swPX3aZuWyYBaeGXNmmnQ3KQrDko1USaEE29NRueQ5SCs11tOfaNQotNVmUehXdH6lctdOj7gMQVWhRfaAU5DcNH+qABcw3hc154iKLyul/U421cm6xV9cXCGZvbWNe0CJJmq8ETez3E8WykBSgOVd81iMVi7Mj3IrT5GvuEo6+ZX9HvFTbwWenMahf5FJ+IrbN5yMSAidUQg36tFD1dwhYl2a91xK6M4u2WuBXVTE7ag95gvEBw8QyotLOCo4M4AfzL8xwwxVe0tF2jyZ/MaK40F/38SgjE4B/38SzuZ6f7NJgNLd/cAthRW8q1+5dTipTvzEY3TGNTAGCoqud10/2U5NFw5xFmaCgOMS5cvdu2JqtneocIO4pBiuYDO2rUGo6F08qTN0ic4894NNSpXLdYmIKXpziJW7NF4wzfjTN81jrDqS3VbhYAxxSECJmrN9oEJClICesw/wCSth6y5WPq11FFNKlUVgBaQuLcvC+kOWAHMBV3BrzcRTgP56RFZQnZdc8za5KS9+u5cVOiskahQ3b90ujlsnXun1EUKBSDfvzFCbctSe8cFcdExAX4gISZAS7rJ9D/ACIkUIuBeVesIr8pqFFKb0PvHNWLvIj6d1ApQOamjfEzFw+Y46PLNjx2hhMjRa3XiZM7DikAwLnSX+IgixXkHXGopFb1sbz2luhHIuH5gVqmwlFSuIQ0tkFVKxVfzNuYNdJyCfv4lUlBXs+IjfPkv8TLmUxWIAAu5/Ef3BcFW8jxZEKDra9Ja2nG2HAh/PMWDqOJdDua3EqaYOTTGyCmOWAF1zqvzEUSecnvFYDCCAJfB/ku4b+PeE2u9qIABqMsLLR/EFwM3dhx7Yg5htLn0zChoc0V5xr5grMPA+OksM9jIL95p062R84v5iWGVpSh5uZRbq2s/ELfklK9oaDdOXXaPRle0pyTRrcKzxTFVcI6tdQqA2lRQ1p9wuWy9GD4IAYnq3B00DYekOOG7Fx8S4pZKBG1YtuJPPSmSN7kba2gKOFa/qhgiteUbFrdRzJXiVha0f8AEQIQDHAQTQL2qNU5uSkFY9UQabc2XRMg23ir+IlEvukv1iTLhS4REL3CCI3KlIEBqzURxZ41KhaxxSVlV5YL8wmAA7vsf5L0ohdg33hZoVm8znrqL5g5a6/EKZ0QD4P3LfPBQHxhlvEyzRYTy7m6jttKPUQauzFSNQi1WjlX5iNFwgi4jvABiK4sb4fiANIHJv32wFJdBo9vuXrQCwC+c+0LIrdJB7KuCKC5Vz6Q6UhRLZ7CKFSu2X4RKLbwU/HxHE8mGl8aJXe2hWK9Y1DQ2ck6tuBT8zBRYDyauce4qAxxfTpKNMK4G4ZoXYr9pmUdDZftM9I3otYE2puoaWCzbWPWDOELbncp9AERBuu+7fiCOWdUP1C4gbKgqLAW3xMFcmuAimB4bzftBpXJxU7lnkJgoso5/wCwDbWTrHBYDrmV7dksI2yf1SlkwRQf8CYAdb/sRYQOHp+Y3tD2mZAvR+ZVyMGtk1XV/bicjPUIHDp5g21d31/2BRzd9/3DdMPDzLLsWsar8SkGasoWV0hY85oFQJVgOb+ox+9YWPJX9U6asv8AamA6ukOWOzFSnkMZf8gXIVbnmCyIA6ZmLl7HP1GkpvPJf4hGh8Ud/E22brDpKBSzLinSateL5zcEVprwVFFOW6LlgbeGaCXpQveDxDyK6aiIpjW7heAckAjjFYoeJZVa30gpUWLqzr5myC8to8+YUe1e6Z+ZlTBvYf7KLmtdIfmWWbIUMfMtjG+n5iaoLdDPzMYjGNQSq74xG7hNViz9xepxydPMwLcFdUxwx92Aauop5OUpVSeLbgFt4WSmf1qZpa7Ld/Mpxs6xcjNShLRqoXbnNLfUOQx4IlS01YO+8pMsf1mXooY3CBGMuH9wdQmy2x+57eKIW/1jS1tgLtavrKh9BaBCyfxzGgpbAjk58spVIK1QbSt+KjtlJldR1QdycOkChECgYZXOpVm8r+YYSIVsRRFEcrSw3YF7GLChepM+/iM10qla71G4VXV40H4+ZT5b73VuvioYMWUH2gFCKWy7SLaOrNLPSDXAKyMTFkQa1qMdWLTbj/sBqkmCCb8zycLSyDFysbBFkmDqZz4hnfyivHSor0orm634gtBi96b1X9uWwEpXj0iI7F6oqAIbLpMxAous4rEpyXUkLWFb67TJUXN5rhlD3IjUSUqfkyiy6jGGW2Kc5z6QFAVqiqgoiLL7ICXUlGobqzGKhgtBdFKMV+4JWm9uIDVC4V0j3TCzDWT3iBZov5mJZSUYAFguW/nHSJijetOneWBtOHaKpybAHVhcWkLWQHVhcMdLhFgioDYaA6vSW9OFWTwiFbIHSMA4v3iymGFvMVSuioy9HNcp2aIwXKOFrxLGp4Vseadnw1FuqbcXKXdTKV3qDNlp0S0WBRrlF+Ry0mSOeOlJtfEFUDzjNSiyteXtKEvMlW1C1LB9cNZ4ivJcpllyY9LiBMnmJwNMZ3DWUcJQIZAxyDj8QIXRW1M8KFoNtEuq1pqKZbc9Ic3bvUW6rxZL02sYzCyj57mXYfEaMAtbwEIqclrEyKgrJSHtCQFNXYMY0BXgaipTbhJl0ujHeUKUWKOyW9o6UZRS5NTPlEMXe/zABFUUWW+h6RZkDIvROHzBUUhapyx+oxaLJvKxKurvplLAFI3rz2l8C8A/qCZcuht7eIEWDitDN1Da6GIqAQBeyKnFZOEiQo78Jx56x9TVYN/KIpRrOH81B97YKjuO4jlDeFe8X3XdLPmpWdqNtNOhqZ8w1dPzAsq9rl7JdpEzY1+JZODsTrE6D61q/MSWNAS2vxFWbF7ftMC8QokRRG6trFUlFTkXMVSAG+jPoRu9iXzvD4g+lqLWMHN1FZjd2JKaBZxf9zCHasqjiAAZtCogQU9gOupdfVAbOIF1dEwx3j1kNwwLAF55xVd4Ly4xDgJec19wi8DFo6lk3KVtXm8vC6Xoi9UN8DHEpVW+VUYAm8mN7mNgFsbmswACQLY4e0r11Djp/szAWpzXHnET7KKx4fqXaLaOciFNl0ziJZmtQCzqW8Vuv7iUrIWDPjefuczjAG7bjRWV4Q02+IQoBkgWSmt2f1xDQtcBxD8SSr/cKAW8h2yi4Mu5Z+xdANRN0h2wnpuCZ2bum7OY0WGkyx+IliQKxwhQxzwOUH0HZeI1iw2mmsQhTLo1E4Kcm/7cMCLoOfEFGQsY7J+YDUXfJb5HEcWqirqVCFK4iMijnMVsIoqlZiikpIj3uS0KvjMSZrHA7g2BQrFRlwonESbAXucpelQN7IwKBy2ITsOkWb0HRiVAF30fxGBWhNW+2LiKy/zExLBjV+8yNs5PtiNAQpTTrz/blreW8Zxj+JRN15GY0FDgBIeLF3Lx8X5iwoKHgfnEIzINbPmPRe+KjIArMUaF8ylA24Yw1atZLIGLk/T+YW2ZOcaekcJYo4vAoljwIF/MoLMS8Jj5jqgcIXDWCrpZr3hCWXWDYeWFGFe1xNmHm3Mz085YdQLvrZlMg4yzlHNVmtp/UbUlGF7ggAIZMRMKS1yxsw2LTMbaGThcQOLc6BhSw53URzSu3FvxAoXq+jB0XCrN41/pG4srP7UxWuHkYcWw4palwrXXM6i3zuPPvaYnc29SWTn3YGqAd8zBi6rpAsAJfJf4gkcB0x9EDeHqCK8+zSylvei8oiseS2HAt51dQAAsGrp/EHv2IRfBG1v8SmKjlLIVTw4ARrL9G3xBBUAvAH1AnZxQxFug41Lk2NstW96gZVV1s1cq73yq3+4IqVnIJAKnLn8I8FreQltkhlaqKgPUDCzIPARphfcPxBvNx0YROfPjpBr6+mpoYfRjcopjrAOCw5xiAzuXqEOmc1+5hVG9Cn5gcZfepbdN8LM3Z7Wy2Kx5nc90tZ28wqND7MswLUQmp7QJDfJhcHAXT4g+CuG6Y1Wt6QKSwHgi8LN9olAIxVkviwaRGGVSUxdQpTGI0U+0vkBanL/Iuw3Ksn57wRYJXNz/AGY6Nh1oc84nKYCOiZhwmAsHm/Evia0BviOxlbKS4TJyKc0ecYmJtTpKfzKMKHBWCscRZRKfX8QEqOy3Jb6S0rbCq695rVszV/EpAvMrbAWwNGYYVghF7xIlXMquPaoMqrA2fMsDiXtmDsHuJgxqAPDPEItSNWlUTEsReEz8QiKQdxqbZY4/MucoRuphzTC2rdWyFA0nOWERWGrlgUd6hAlGXMaQixjJAMzQsIkEA5sWr+oQULBuwx/dZd56C+Ii/gzCShurdTBYc6LxBB2FOZ2bcXGoChuwfcq10M0OmMAYHGaqVFTS7uvxGNgl4s19QXpbzz6wFKXdXS+kG8VZqDFF84lGNDTpiGhclte1xZwLttWDYsvXSJWpqkbzdnOCcCaq0vEqx0Gyv3uWgIpVhn1ggbMyxSlvnnergNOf7zQjBw1v0lAwM4aCFJG7AUfe4GhodXPnOYrarjUz/qjav3L46MWf2ZZg13cBf4YiKU9g9kRGNZStl6KzMkyBwwjswZacfUWNE5RFSQltmodEDR16TWDszMvubZgGQDaD57NsYmVG8wBGDxbLCOucy1fJPUlfDS3tBAfMvHpcawAPQekICl6jLjd+6B6T0xN8dIfu4KiVvmPyJwoPu5rTvZdHMwDazgcX2IWzFhab1vPaUiegFtWmpX1bRCLf+IZ5aqhxslaEhkd8592PysBDogppyqPOCcyFsHW38zcRo00PpBVnAvGb80xNyKvptwLAxEUNDv5lYAGbO6ACgwvTkuveXyANhkxKAk4Qbt/5AnNYWqQa+4mLRYg0PEIKUsAcRWVlU5++0dlD0xVfuWqLk3Znt4gyWHkKqoWRaWLi6LqCgRfJypzuBEWDgpVmokrMaXm7iA1p25L/AFQipzociXFQ8y8kGmT2irBu8xoaX4lvApF2PfpDKEM6VEoAJ1j8Al8MRyKDmCHQuswfQC8y+qWdIdFToW2rlmBaJdy1oV2ZzjJUWFrsGAEYqZKzznftGmtzRQ1ncE3Q2uY9ag1Qj4mMWpdYV6RfmgOLLlgGgoWsz4mS3YK4yxoRMY87pK8RdAcas1Xiby00MLwmksx8d5WCSqm8B0gGAzzL3VzpQAmGkMTRXRtyWRwi0XivEqAtcKqWrVVHS3xH0dbOQ/RHJlWNd1uZ5WibAhqXFkVS3AcXKe4Vi/eWoUpcw5LplA21zmXgWBy2RVRcGMxBUt1TmCTZoDLceGQzfBBkTSlGzuzdFKAZIyZRRSlhkReekulEu+ssCqc8sbpQ6ZZwU6GYlxTMFxZDZS2ZAOs1KkGpldKTUwUnaZY40NoFyUuhyxaWyr4iwGSsPEXRRQKwRvVXWjV04+5oiGDq94EIoD0lUo9o6iWcjSVA10LONq3MkFAcIwIlVVLOxUA2Gh0eUiQUVA3R0oxUSQ3iheOvmJSNzyG+2exCsUjBgDpXtLiRqtNQtpUpRqHYiUdviC3EKIGPomDjQIe1NaUZdnn1mPCV4CuLvvLcIk0CV2vmOy6gprqNuY6AtZYet9IgiOS3PuF0ZgDbmIDDhsileQVvPxFiWjyMxVl7A4H4hrAu5oMY4Y1hitOHWV4iJKU0NPzFIAOwjHfvuFpdKh1X7Sm4FdZfStrGxA3TxLEUdBCWF6/6DEEgRgG81qZQFTld+/aZrls1RC1FboORznpHSLbsT0YmLGbevmHWUHvFUKHDzE66AKs3Nmq4G9a6xbxqVhmsEbpFogZuJFJBVjmqfWKQUnIrg9IiioQ9Sb7ZRbo38QFQ5ZUb9ItZbC0NRjAIEQ6YQcKx0hzAMDahurZWbmMKbjWxWQxcOGsOkaBYqGXf7gOfViObWJgBpDCVUqdVTpblurWF0qvFS1h1S6V7VAoG7aEIL74FDrUSxrhjWv8AZsFKvoxp1Vdb6fcwhiQqc2/3rClTi0ZCCyaxAjAWndwoaMZzEgB7IwoBo5YHs7g0X27RCiLlWPhcsFgHyCx73LNPNRxumYlwcmQ24gBGSDEP36RzEXglyC6uZ4LglRHrLsUZiwLsPDMmNgP0QWWTaH+mCYhVHV5f+zBjO+51lPRaFi1068RHxjIgLbiyINra9Hqw6ZdDZFFQow2295YUVUVmu0od5XxQcY5zGWkWrTxFqNBWLmROSoPkRpQUOERmmu8eX0+o2heKMepEiAtfkhEBA1dO4dUeWGoLVvikwBhsOkZDJ5PMqVFJYrczZno40gZ0Xe4CgAV0nmm7esJrNMACpz+YDgafiAvEw4mQOpft+pmTkX8xt7NW4jrxhEBQXNO4kA1bRqaFdZqjVWrTq+Mxo5y3jcaiSxhqAEAZURRbRfL3hjDo/mAEBvTV10j9IBCmUz3wTEhjBCuoumChsllNRIA0UfRBgABdO8xBjyHPMTucBXzEMutm+zNpMQVoMZ1LWyi6L1EsTnT3jcsTrOtRI6UofcOkBwu+Khbeequ2qieT/SK2qq0tsmMROLOFriWbNnuVwXSfEeEKtq95l84q8RMgk2l4g0gJg32giBd0txgiXZfiMsVwd+IC3l8t5qcg317wlSpUXggtZO30zIX0YQCjie5ITVmnPoxmQdbIlrYxDAwiQC5VzAIof9sN0hwlkJ2OKniECgDUStnh9TdAKwjeTqJc1wFdskWC3KXieCunmNVrwadXEixcNuDpEti/5RxVum/WYPALoJqOAPuUANas7kLFOHVLzDvZP//Z)
Domanio paºblico
Um novo manãtodo de identificação de sinais de ondas gravitacionais usando computação qua¢ntica pode fornecer uma nova ferramenta valiosa para futuros astrofisicos.
Uma equipe da Escola de Fasica e Astronomia da Universidade de Glasgow desenvolveu um algoritmo qua¢ntico para reduzir drasticamente o tempo necessa¡rio para combinar sinais de ondas gravitacionais com um vasto banco de dados de modelos.
Esse processo, conhecido como filtragem combinada, faz parte da metodologia que sustenta algumas das descobertas de sinais de ondas gravitacionais de detectores como o Observatório Gravitacional de Interfera´metro a Laser (LIGO) na Amanãrica e Virgo na Ita¡lia.
Esses detectores, os sensores mais sensaveis já criados, captam as fracas ondulações no Espaço-tempo causadas por eventos astrona´micos massivos, como a colisão e a fusão de buracos negros.
A filtragem combinada permite que os computadores capturem sinais de ondas gravitacionais a partir do ruado dos dados coletados pelo detector. Ele funciona vasculhando os dados, procurando um sinal que corresponda a um dentre potencialmente centenas de trilhaµes de modelos ospedaço s de dados pré-criados que provavelmente se correlacionam com um sinal de onda gravitacional genuano.
Embora o processo tenha permitido várias detecções de ondas gravitacionais desde que o LIGO captou seu primeiro sinal em setembro de 2015, édemorado e intensivo em recursos.
Em um novo artigo publicado na revista Physical Review Research , a equipe descreve como o processo pode ser bastante acelerado por uma técnica de computação qua¢ntica chamada algoritmo de Grover .
O algoritmo de Grover, desenvolvido pelo cientista da computação Lov Grover em 1996, aproveita as capacidades e aplicações incomuns da teoria qua¢ntica para tornar o processo de busca em bancos de dados muito mais rápido.
Enquanto os computadores qua¢nticos capazes de processar dados usando o algoritmo de Grover ainda são uma tecnologia em desenvolvimento, os computadores convencionais são capazes de modelar seu comportamento, permitindo que os pesquisadores desenvolvam técnicas que podem ser adotadas quando a tecnologia amadurecer e os computadores qua¢nticos estiverem prontamente disponaveis.
A equipe de Glasgow éa primeira a adaptar o algoritmo de Grover para fins de busca de ondas gravitacionais. No artigo, eles demonstram como o aplicaram a pesquisas de ondas gravitacionais por meio de softwares desenvolvidos usando a linguagem de programação Python e o Qiskit, uma ferramenta para simular processos de computação qua¢ntica.
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O sistema desenvolvido pela equipe écapaz de acelerar o número de operações proporcional a raiz quadrada do número de templates. Os processadores qua¢nticos atuais são muito mais lentos na execução de operações ba¡sicas do que os computadores cla¡ssicos, mas a medida que a tecnologia se desenvolve, espera-se que seu desempenho melhore. Essa redução no número de ca¡lculos se traduziria em uma aceleração no tempo. Na melhor das hipa³teses, isso significa que, por exemplo, se uma pesquisa usando computação cla¡ssica levar um ano, a mesma pesquisa pode levar apenas uma semana com seu algoritmo qua¢ntico.
A Dra. Scarlett Gao, da Escola de Fasica e Astronomia da Universidade, éuma das principais autoras do artigo. Dr. Gao disse: "A filtragem combinada éum problema que o algoritmo de Grover parece bem colocado para ajudar a resolver, e fomos capazes de desenvolver um sistema que mostra que a computação qua¢ntica pode ter aplicações valiosas na astronomia de ondas gravitacionais.
"Meu coautor e eu anãramos estudantes de doutorado quando comea§amos este trabalho, e tivemos a sorte de ter acesso ao apoio de alguns dos principais pesquisadores de computação qua¢ntica e ondas gravitacionais do Reino Unido durante o processo de desenvolvimento deste software. .
"Enquanto nos concentramos em um tipo de pesquisa neste artigo, épossível que também possa ser adaptado para outros processos que, como este, não exigem que o banco de dados seja carregado na memória de acesso aleata³rio qua¢ntico ."
Fergus Hayes, Ph.D. estudante na Escola de Fasica e Astronomia, écoautor principal do artigo. Ele acrescentou: "Os pesquisadores aqui em Glasgow trabalham na física das ondas gravitacionais hámais de 50 anos, e o trabalho em nosso Instituto de Pesquisa Gravitacional ajudou a sustentar o desenvolvimento e a análise de dados do LIGO.
"O trabalho interdisciplinar que o Dr. Gao e eu lideramos demonstrou o potencial da computação qua¢ntica na filtragem combinada. Amedida que os computadores qua¢nticos se desenvolvem nos pra³ximos anos, épossível que processos como esses possam ser usados ​​em futuros detectores de ondas gravitacionais. perspectiva empolgante, e estamos ansiosos para desenvolver esta prova de conceito inicial no futuro."
O artigo foi coescrito pela Dra. Sarah Croke, Dr. Christopher Messenger e Dr. John Veitch, todos da Escola de Fasica e Astronomia da Universidade de Glasgow.
O artigo da equipe, intitulado “Um algoritmo qua¢ntico para filtragem combinada de ondas gravitacionaisâ€, foi publicado na Physical Review Research .