IM 6.8.18 Lesson: Using Data to Solve Problems

In one study on wild bears, researchers measured the head lengths and head widths, in inches, of 143 wild bears. The ages of the bears ranged from newborns (0 years) to 15 years. The box plots summarize the data from the study.
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u4NnmObOvkYl+J8xohGiIkGNwcPjjt8bxbOoUj59E0ur/v0LYMOc9e4332v5zd/5eyud7/5luFbr/93V77/9b71BbrG1cNnoLycc3lcHb553Tn3mZ86yGvJEChuCBjR+LjHeJaNaHyMS3E+Y0QjDESjON8gJrshYAiEDgEjGh9ja0TjY0yK+xkjGkY0ivs9bPIbAsUWASMaH3edEY2PMSnuZ4xoGNEo7vewyW8IFFsEjGh83HVGND7GpLifMaJhRKO438MmvyFQbBEwovFx1xnR+BiT4n7GiIYRjeJ+D5v8hkCxRUCJxqJF8utPP2t0yGLbkCAK/p5olNftBQjIx27VhTqysyU9PV1K/fGHdO/SVW5nZqqjaaHKKqwMAa57cP+Brr7r2a27xlJiJWE0JyUaGRlSo2pV21Qtmjva2mYIGAKRh8DrV69lccpiKfnbbxrgLvIkDL9EEI3sBw90uwIiCY8bO1Y3X2QDxsIcI4YP152qq1SslLOxZCHLKUzdeV0zYfx4laV61WqCXGyhHs2JVYUZGRlSq3p13eeKkA+xlv4r1hps7TUEDIHIQIABeNPGTRoJmP1/LOUggCJiIy62WGDPk7J/lynUQeTkMqVKS4nffpc/S/6hEZILW1awr0Ou0n+V0r2fiCcUzQnySIwlNsubPHFibiTsaG6zf9uMaPgjYv8bAoZA2BB49PChXL9+/YMouGGrPEIrQjER7O/48eMaYJAgg9F4sHs2wQqZQov2RJ+ycRwxUiDYsZaMaMRaj1t7DYEIQoAB2DdgXQSJVqSigAkH8/vRemi/5xHYsEjBD1Hl3OscsZiMaMRir1ubDQFDwBAwBAyBMCFgRCNMQFs1hoAhYAgYAoZALCJgRCMWe93abAgYAoaAIWAIhAkBIxphAtqqMQQMAUPAEDAEYhEBIxqx2OvWZkPAEDAEDAFDIEwIGNEIE9BWjSFgCBgChoAhEIsIGNGIxV63NhsChoAhYAgYAmFCwIhGmIC2agwBQ8AQMAQMgVhEwIhGLPa6tdkQMAQMAUPAEAgTAkY0wgS0VWMIGAKGgCFgCMQiAkY0YrHXrc2GgCFgCBgChkCYEDCiESagrRpDwBAwBAwBQyAWETCiEYu9bm02BAwBQ8AQMATChIARjTABbdUYAoaAIWAIGAKxiIARjVjsdWuzIWAIGAKGgCEQJgSMaIQJaKvGEDAEDAFDwBCIRQSMaMRir1ubDQFDwBAwBAyBMCFgRCNMQFs1hoAhYAgYAoZALCJgRCMWe93abAgYAoaAIWAIhAkBIxphAtqqMQQMAUPAEDAEYhEBIxqx2OvWZkPAEDAEDAFDIEwIGNEIE9BWjSFgCBgChoAhEIsIGNGIxV63NhsCUYzA27dvhSMSE3K9efMmrEek4xGpfRWJ909xlcmIRnHtOZPbEDAEPkIApfX69WtV5B/9WMQnnGwvX76UFy9ehOWgLvCIRGXu8IB4WYpuBIxoRHf/WusMgZhBAMWFAt+1c5dkZGREnHJF6R87elQWL1oki1NSAh4pixbJouRkPfieV778nE9ZlCJLlyyR/fv2yePHjyPuPqCvzp87L8ePHROwiUQyFHGgFVOBjGgU044zsQ0BQ+BDBFBUN2/elD9+LyHTp06LOMX17NkzqVa5ivz7X1/Id19/E/D4+t9fyZf//JceX33xpXz7n68D5svrenee6yjrm6/+I3Vq1pKzZ85+CFYE/Pfo0SPp2b27dO7YSW7fvh2RVqgIgCkqRDCiERXdaI0wBAwBTPBXMq6ogh07enTkEY2nT+W3X36RWtVryPp162TD+vUfHSuWL5fmcU2l5G+/CRaNtWvWfJQn0HX+5yh/9cqV0r5tW6lYrrwcTU2NuBvkYXa2tIqPl9YtWylBtCmUiOuioAmUb6LB24KvE1MkmrmcfF7RoW1v37zRgSoS2+m1fXa9IRCNCDiigSVgzKhREUc0nkI0fv5Z2rZurVMF+E74H9nZ2TJowECpUK6cKt/nz59/lMf/mkD/MxWBxWDcmDFSsVw5SY1AokFb41u0kFYt4uXmjZvy5rX5akTjc0mb8k00uJmZU+PG5ybmoY4kJYwsyBWMuT5IxqtXr+T1q1cR185ovRGtXYaAVwSKBdH45Rdp16ZNntMEjx89kiGDBknF8uUl89YtHYcKgwtYPH3yVMaNGasWDSMahUHRrgkWAp8lGtywkIuLFy7K0sVLZP7cebJ50yZ5cP9BRBENiNDqVatk1cpVhX44Hai092jqUTVb8rBTtiVDwBCIbASKA9H4/ZdfpP2niMbjx0o0KpWvIJmZmYUey3jxwoJiRCOy79lYke6zRAMLwelTp6Vju/bSoG496dGtmwzo21du3bwZUUQDa0uTho2kYf0GgtOVl/Tw4UNJmDlL4ho1lhPHj6uVxEt5dq0hYAiEHgEjGu8xNqLxHgv7VvQIfJZooHSnT50qdWvVlsOHDgv/c/BQy7ugONzU7vhUk1we9+mb153jM6/0qTwQDWTE0Qom758+da1/XuYOp03JaTPL0Sg7P9f75uF7Xulz+fyvdfl9y3Pn/PP65rHvhkAsIWBE431vMy6YReM9HvataBH4JNHAT+H6tWvSo1t36dCuvZw/f16yHzzI9YNwfhtPHj8RPIhxPkIpc94pQiwi3PBMR3A8fvRYHmY/lCdPnuT6VHAN67whMHz6+llQDgMI5568y0M+rBavXr7KtapQBsu4alav/gHRQJaXL15quRAIfxkDwU++qVOmSO0aNeXwoUPy6B25yq33ne+Gu9bJRzvJk9981ONwUOImoqZS5lbBijZRJvO2fOIsRXsUR7DIzs6ty2HuZLJPQyDWEDCi8b7HjWi8x8K+FT0CnyQaaWlp6pdRo2o14Zg4foLMnzdPrmRkqPJHaR8/flyWpCyWhFmzJGnBAjl08KA8ePAg11P6zu3bsmb1ajl29Jgc2L9fkhKTNO/KFSvk4oUL6lm9fx/nE2V2QoIsXpQi586dyyUbDB4o7iOHD8uSxYtlTsJszbd+3Xq5cuVKrlNVIKLBwwZxOXnihAa+YTpkYWKikgeUPMo5UHJEA+sIy8ZYKka9c+fMUf+Ua1evKQlw10J6Ll+6LOvWrpU5s2dr3m1bt2rbIEguPX/2XE6fPCVrVq3WsmbNnCnLli6Vc2fP5U73PHr4SFjiRnsJOsTytgXz58ue3Xs0T/aDbNm3d58G9Jk9a5bMnT1bNqzfIOlp6YWez3Xy2achUJwRMKLxvveMaLzHwr4VPQKfJBpEbJs0YaJUKFtOqlaqLMOHDpUpkydL2uXL+oa9c/sOtXT06dVLJowbJ/369JH2bdrK8mXLBGWNkoVM4NvRvUtXGT50mEwYN16XnjVrEic9unaTaVOmyOABA2Xs6DEyetQo4Xz/vv3k4sWLej2Dx7Vr19RBamD//urcNHTQYKlXp45ec//+fSUM/kSD6zi3bctWaR3fUnr16CGsre/Tq7f+j9MolgEeSP/kiAYOWQSTYbnZxPHjZeiQIdIqvqWMHjFSbly/roqdNp4/d04G9OsvXTp1krFjxsjIYcOlbavWigkWIVcHhGnq5CnSt3dvGTNqtIwaOVJaNGsuXTp2UnKFHFlZWVK/Tl2tC6vK0MFDZOKECbJ18xa1xkB6aE//vn1lwvjxMmzIUOnds6ds2bxZXr8KTJz822f/GwLRiIARjfe9akTjPRb2regR+CTRwFx/4fx56dSho/Tq3kMuX7okKHbO8xbeoW076dm9h5w5c0bu3r2rvw8eOEiqV6mqDqQoeiLSlf7zL/Wf2LF9u+ZDmRKM5puvvpLGDRrK9q3b5Hbmbcm8lanWEaLnscKFaQUGDxQ0pAcLBvVcv35dCUuVihXVSvLy3b4BvlMnTPukp6dLw3r1pVP7DnLhwgVV4lhpIATly5SVq1euBLRqOKLx/TffKnk6e+aMtvvWrVtq0Slb+m9ZvXKV4oA8kyZOlPp168r2bdu1DtpB+2j38qXLlJDw4L94/lxOnTwply5e0nx37tyR3bt2C57oc2fPUZ8XIuRB6sqWLi0jhg2TtMtpcv/efSUZyNW6ZUvp2qmTTmPRF7czM+XSxYv6CVaWDIFYRcCXaPDSEmnPA+MmAbuKZNXJkSMRd1swnlkcjYjrlpAI9EmigXK8ceOGWh769+mry62YboAAYLWoVqWKThegHB/cvy/37t3T87/9/Iue58FCSaOYWRt+NytLH37KYDVHiV9/0zfyXKvE8+dy4vgJXT2C8mYKBhmwGjx98kR9Jbg5ISp7du2W0n/9pfU5fwZfokHdiQsWaDhiYv1TNzLev3dPpysgESuWLf9gCsQh7IjGnyVKqqWAshi0OCAJRO5j9U3WnTty7uxZJVGjRoxQAoTMtAcn0prVqsvQwYP1f6512DHlhH8FeQmZXO7vMmotwrkWLCFqf/9VSvcBgDC5a5GjedOmalU5c/qMXk9fQOgoG6wsGQKxigDPCdO6hPgeOXyEvHj+QscOxo9IOHhh+vWnnz4dRyMEy1t5qWJKOxIw8JWBl7QWzZpJSwvYFfWP7CeJBq1HEaJUmc5ACaLQUJBMJfDGPnjgQJk1Y4b6JeDHACHhDT0leZHgJArR4A191oyZSlAcopwvV6aMzJg+XR8AlCRKFcWNImdqAeJC0CzqYyqFzZLYTIiyhgwcJBAB/sdHwn/qBAdKZPv9l19l0oQJkjBz5jsZE2RQ/wHy8w8/yszp03X6xMnkPh3RwLEUXwnKdomHo1fPnjodhGUFwlPi11+lXes2MmPatFwcxo8dK1UqVZJ+vfuotYEHDKLAQAjxwUdl3py5Mn3KVPnlx5+UiIEBGOMPQ7Q85HDkgU/KwA+EqSymmBLnL5DTp08reeI3BlpLhkCsIsD9n5GeofuEMJXJ88mLUqQcWFh//O57HSvyelbxKeOlLFhxNJiS5qWFqdVIwcHJwbR644YNJb55c5UN3WIpOhEoFNGAAPAGX+qPP9W/YNiQITJy+HA98OPgLZ6lsBAACAVTIXMSElTROhg5X75sWcEhEoJBek804pRooNR5CyBP08ZN1B8E/wYeRKZt/ir5R55Eg+vwx4Bo4EOCXL4yMi2xc8eOT06dYCFJPZL6AdFgGqNfn75qrcB3ZPPGTUoUmjZurMTG1UH54EAQMQgDloetW7YogWjRtJn6jIAbfic/fPudDBk0WEmFIxr4utAGRzTAh++QlYMHDig+EDKmhgi3zBSXLyFyONunIRArCDii8b//+L/63BMHh3EjUg6mif/3H/+Q1vHxuWOef98Em2iMHjlKiRdjcKTg4ORg7GLjN/6/evVqwLHYHx/7v3giUCiigQKcMW26xqzA74KpDM7pkZ2tihWlx4GPRi7RePI+vsXnicYowYeBYGHsxtinZy85c/q0Tt9wHn8IiE5eFg0U++iRI9XqwjTDPUjLu+WgKH5kRT5fRe660Fk0qlSsJPv27lXCRD4O/DQ6d+woTZs0UVkOHjioUx9YM/jN1UH5lKPLcF+90nDC9WrXVp+UXTt3KoNHJsgK7cBCQ/m5RKNtO50q8pWP7wymWC+YnsFvBWdapqYgLaxIsWQIxCoCjmj883/+Vy0CA/r1UydtrBuRcPDi88X/98+wEg0sw+zkihN7JGDgKwP+fVi/sc5eM6IR1Y9toYgGPhGEIa9WubLMnztXpzYwe/Gg8+nM+HyePVs4ooEzFyF4WbrJ1MKqlStzyyeeBtMn+HjkRTQgESwNLfnb75K0IFEtCk5GLCccvkrct5cd0WB6BadOSINrG7sgMrUxcsQIPZ+Rnq6MvGunzuqs6urwxYHVIOCA7wrWB8gIv0NCKA9WzzTPJ4kGJOP1a5Xb1UEbWD4M8eHtAJOkJUMgVhHgGWX31q+++EJXa0HGmXaNlIMXEXw0wu0Mig8YLzeRgoOTAysGJMM2VYv+J/azRIOHg+WTA/sPkDu37+QqXJQabwxML7ACg9UcKF1iVjBFgJUDonH+3HmpWa2azJszR575ROwkVkblihU1Ji8tCnoAACAASURBVAYKk8QnS0XjmzWTcWPH6gqT06dOqRl02OAhutKCeBVMR+Boydwjq1OcMyjLQpEHBY4yRgaWjjLfyXLWS5cuaWwKHFGJ7QGhCEQ2IBZYbJh2iW/WXLDa4Ftx8uRJdV7FQnPgwAFtH6bORQuTtY7JEyfpVBF58TVhaS3zkE4WnGdbNm+h00rMJe/etUvatGqt87Yjhg5TWbDWECisY/sOGtzMyccn7aLthw4eUryZ80W2GlWr6uoYnEwtGQKxisB7ovGlLpXnf56bSDlwaGf31nATDd299ciRiMHB9QeEI7657d4aC8/rZ4kGb8z4ERC7AsXNw0viZiFIFOdR5Ewz4PTJktMO7drp0lKIA0ti69aqpY6LEAKXcO4kIBabtDmigUJGMbOEc/KkSRqFlGuI3cH0AN7TWBPq160n69asVRJAcCusF5TBnGzD+vVzHTyRFWdWzHVsu1y5QkWVsXKFCpoPXxPa4Z8gDwTeIs4HcS8gMKwEwQmTMOerVqzQQGBcx/WsZEmcP19JDlhARKijXu06SgTIA+nCCsTvZUqV1nZAKJKTFkr3rl01xgf5kKl+nTrSpVNn9cdw8rGj7PNnz6Rnt+66GyMkDbyRqXOHjoo3+FkyBGIVAV+iEanbxNumau/vTl70bHnrezyi+dtniQaKHuWPNcDfpwHlTkhxAnjhy8BBnIisO1mq+FGSrDw5duyYBrjyVYQoc6YNfANakZ/z+GVgHXFTMPhbYBnZu2evXsOUCtMnWA2wuDDAcGCpIFKpq4fykJHrL1++rDE39u7dqys1cDTlmkCJazDrQZKQB+91VoqwRAx5ifDpey31YW24eeOG5qEOVqsQ1MuRK/KDH9YOnDkpi3lJrsNKg0WIRB58L5hqQQ7fRBm8BeDfAtbUgxMoMiKDIyW+19h3QyBWEOD5yJk6+VKnKCPtecCR24jG+7vRiMZ7LKL922eJBg8rDzCfeT24/I7/AMrO5XXAuev8r+V//7xc4/L7/uby+pbv8vHpksoRgDy46/ndtwx3nf+nb9m+1/rK5H8N/7u8n6rDN4+rx7dcd859+tfje/2n6vG/zv43BKIdAZ4jIxo5vcw4AbGxbeKj/a4vHu37LNEoHs0wKQ0BQyDWETCi8f4OMKLxHgv7VvQIGNEo+j4wCQwBQyAICBjReA+iEY33WNi3okfAiEbR94FJYAgYAkFAwIjGexCNaLzHwr4VPQJGNIq+D0wCQ8AQCAICRjTeg2hE4z0W9q3oETCiUfR9YBIYAoZAEBAoDkSDoH1tW7WWly9e6qoyVpb5HqzEGDRggC5bZxUbq9Z8f8/vd1bsEVeHyKAaRyM1NQgIB7cIW3USXDwjuTQjGpHcOyabIWAI5BuB4kE0ftb4PwTmY4m9/8GWBARIJBghsYbYksA/T37+J+bRjes3hECAxNpJNaKR7/vIMgYfASMawcfUSjQEDIEiQACice3qNfn+m29lwrjxeS7HLwLRtEoC7rFvE8EHhw8dJsOHfXwMGjhQA/H99P33umP2sCFDA+YLdO0H54YO040aCRpIMEViDEVawuLSrk1bPVw8pEiT0eQJDgJGNIKDo5ViCBgCRYwAfglE1o1r3FiWLF4ccUSDYHzsiUSEYyIE53WwN0mZ0qWl4ify5HWt/3miIVMnwQEjLRHnY+rkybr5JYEI6T9L0YmAEY3o7FdrlSEQkwgQxI7IwZG47w8WF6Y9iHrMPkUBj7R0SU9Le3/klS8/59PSNRJx1p07GmU50m4I+oodp9n8DmzEeEakdVHQ5DGiETQorSBDwBAwBD6PAG/u4Tw+L5HlMARCi4ARjdDia6UbAoaAIWAIGAIxjYARjZjufmu8IWAIGAKGgCEQWgSMaIQWXyvdEDAEDAFDwBCIaQSMaMR091vjDQFDwBAwBAyB0CJgRCO0+FrphoAhYAgYAoZATCNgRCOmu98abwgYAoaAIWAIhBYBIxqhxddKNwQMAUPAEDAEYhoBIxox3f3WeEPAEDAEDAFDILQIGNEILb5WuiFgCBgChoAhENMIGNGI6e63xhsChoAhYAgYAqFFwIhGaPG10g0BQ8AQMAQMgZhGwIhGTHe/Nd4QMAQMAUPAEAgtAkY0QouvlW4IGAKGgCFgCMQ0AkY0Yrr7rfGGgCFgCBgChkBoETCiEVp8rXRDwBAwBAwBQyCmETCiEdPdb403BAwBQ8AQMARCi4ARjdDia6UbAoaAIWAIGAIxjYARjZjufmu8IWAIGAKGgCEQWgSMaIQWXyvdEDAEDAFDwBCIaQSMaMR091vjDQFDwBAwBAyB0CJgRCO0+FrphoAhYAgYAoZATCNgRCOmu98abwgYAoaAIWAIhBYBIxqhxddKNwQMAUPAEDAEYhoBIxox3f2hbfzr16/l5cuX8vbt26BU5Mp78+aN5/JcWZEoG+179eqV8BkM+SiHfggGbsjjK5/XjgimbMiCfMFqq5ONeyUYyckWjPIiWTbayf1LO/nuNbnyKNNroiywQ7ZgyBdM2Wgb5SEXbeW7l+TK4nko6mREo6h7IErr5yZ/8uSJrFqxMigKDpguX7okZ86cUUXiBTZke/bsmaxft14/vT7QyHL92jU5eeKEludFNq59+eKFHDp4UG7evClvgqDk7mZlydGjRyX7wQOvoukgmJGRoW0NxgD2+PFjOXb0qNy+fduzbPTj40ePZNvWrfL8+XPP5b148UKOHzsmV69e9VwWBaDgVq9aFZR7Dux5FtLS0oLyfCHb1i1b5N69e54VHIry6pUrcv7cuaC0FdmOph6Vy5cue5aNsu7fvy+nT52S+/fuecaO8q5duyaHDx3yLBv3L/168uRJuXH9uj5rXm48ZHv08KFs3rTZs2xe5OBaIxpeEbTrAyLw9s1beXD/vjRt0sTzA+Mq2LRxo6xcvsKzElGF9PixdO7YSbKzs4PyEKYeOSLLli7V8py8hflENkjQzOkz5Ghqqr7ZFKYc32suXrwo8+fN0wHR93xhvjMQ7tyxQ5KTFnruB+rPupOlZZ07e7Yw4nxwDQNr5q1MGTxwkJLcD34sxD9Pnz5V2fbv21eIqz++hLfUpo2byKNHjzzfcxCpNatWyY5t24PyfEEOBg8cKOlp6Z5l4x6BKK9ds0bJLf3iJSHb3NlzZMvmLZ5lo6z09HRZnJIiEGb+95K4/tDBQzInIcEzaeHZ5+Vs6ZIlcuL4cXnl0RLx5vUbJfC9uvfwLJsXjLjWiIZXBO36gAgwuPAmXbtGjaAoSypZs3q1LFqYLCgALwnZIBitWsTr2w0PuNd08MABWZiYJPfv3fdUlBtsJk2YqIM1g7bXdPbsWZkxbboOrF7KQjbe8rds3ixzZs/RfvCKXWZmpsyZPVtOnTrlRTS9ln69eeOG9O7ZMyjKHGvL7IQE2bVzp2fZKIC+rF2jpjx48MCzwoSMLl28WDZv3BQUMzskqFePnnLxwkXPSol7ZO+ePbJi2bKgWA2QberkKbJu7VrPslHWpYuXJHH+fLl06ZLnsYny9u7eI9OmTPEsG88SJHRhUpIcOXJEnzUvNx4k6MaNG9KhbTvPhMqLHFxrRMMrgjF4PQ8Egzo3cl4HD+Cd27elZvXq+sDkla8g51evXCXJSUmCAijIdf55kY3BPr55c7l7964ONv55Cvo/b71JCxK1vIJe65+fwWbiuPFyYP9+tRr4/17Q/0+fPi3Tp05VM3tBr/XPj4LbtHGTzJ6V4LkfKPvWzZuqzJl28q+roP/Tr9evXRfe4CCSBb3eP//Dhw8lYdYs2bF9h+eyKBsrRK3qNXR6Aln96yvI/7z58la+ccOGoDxfkIOe3bvLhfMXPD8P3CN7du9WC9/dLO/PF7JNmTRZ1q5e41k2yrpw4YLMnztPLl644Bk7ytu9a7fK57VPuZ77NnHBAp2KAceC3BP+eZmCvX79urRv01ZJrv/vgf4PlTozohEqZKO0XEgGip55yStXruR5ZKSn6zx+xXLlVMF9Km++fsu4InNnz5YpkyfrQJGva/KQD5Pp2TNnpUHdejpXy/9eyruScUXn3qdMmiSnTp7yVBayXDh/XgYNGCBrVq2Wy5cvC+V7kW/7tm0yYthwgQx5KedKRob6yTBtMnb06Jx+8Igdc+/jxoxRs7indmZcEe65I4cPS7s2beTcuXOCvF7ai48B7Vy6eInnPkCOtMuXpWK58gLx83rPoSSxUi1MTMx5vjy2FV+Ptq3bKEHwKhu+VCuWL5dZM2bKqZMntV+89AOyDR08WObNnRuUsnbv2iXjx42T3bt3S9rlNE/3SHpamqxcsUKGDRmiUzJe2gnuTCFizVy/bp0+a17KQzamX5muY7ooP2WFSm0Z0QgVslFaLqz7yOEj0qVjJ2XKDOqBjratW0uLZs3kP19+KW1btQ6YJ9B1nzpXrXIVHahbx7f0Vl7rNtKyRbz8+N130rJ5C2nXOnAbPiWL/2/1atdR2bCS+P9WoP9bt5FW8fHy91+lpF6dOtKmVStv5bVpI43qN5Cypf+WuMaNvZXVuo20adlK38rLlykrregHj9i1aNpUKKthvfreZGvTRrjnmsc1ld9+/kWnxbzKxtRaub/L6HRHgfowj2eCvvzPl/+W+GbNPePGM1C5QkWpWa26tttrW9u0aq24NWnYyLNs3CN1ataSqpUqq9WQfvGCH7KVKVVKqlepqmTIS1mMRbSRF6DGDRsKZXstr26t2lKmVOmcfsij7/NVx7tnv1L58lK/Tl191vJ1XR510tZmcU3l5x9+zFefYvkIVTKiESpko7RczG3Hjh2THt26S9fOXaRrp84BD4gIg+EP334rnTt2DJgnr2sDnu/cOXfwYs4xYJ48ZPHP26VTDklCIfFw8b9/noL+z6DFwMqAX9BrffN36dRZ51QrlC0ncY0aSacO3rFjsOFNGlLlW1dBvyNbx/YdpEHdulKlYiWVs6Bl+OdHKaEwm8XFeZKNcrnnKO+vkiWlfdt2grz+9RXk//Zt20ql8hWkYf360rWzt7Kot3OHjvL9N9+qcvMqW8d27aVG1aoCwcWp2Wt5YPdniZLSomkzz89Dp/YdpGG9euqfhaKk7ILg7p+XZ4DnAfLitSz6AKLHSwtt9fp8UR5EnufL6zjC9R3atVdCBRkCR38sCvI/427LFi2kxK+/5aucbl26hExrGdEIGbTRWTBTJ8w1s6KEpXB5HczNYvavVrmy3LlzJ898eV0f6HxKcrL6Bty8cdNTefhlsGTRmRT5P1B9BTm3dfMWSZg5S02UBbnuo7x376kD18jhI3S5Ics+P8rzCdwD5cVRdfzYsXLi+AnPZeG8iVmcOXOW3waqryDnmC+fOnmy7Nu3z3NZOB9jekYZMbVXEDkC5WV+m3bihBjo94Kew2cJBYeJ3Os9B/bz585Vh8tgPF+UgWJKPZLqWTbuEXxHcLjEfE+/FBQr3/zINmbUaFm8KMWzbJR19EiqzJg2TacVvGKXdeeObNqwUcaOHiOMeb5yF/Q79wT37ayZM2XH9u1yOzPTU3ms6GIKsVWLFvnug1BpLSMaoUI2isstSmdQPLIj1xl0QdCcQSdEtDPoxqA7g54IhjPoS5xBr0nPYDqDzoxgZ9BFKbJxfXCdQc+fP+/Z4RInRvwgWO4NyfDqJBl0Z9DzseEMCm48D+3btDFn0CjWxzHdNFal3Lt7V+rUrKme08EAg3X5KcmLPAfFgiixooCpHYL38L/XRNyA5IUL1dLjpSxkYfnu5ImT5NChQzpIeymPa3mrmTljhjpHei3r5YuXammZO2eu535AFiw28+bMUadcr7LlLG+9KX169VIy6rVfWdlB/AaUZjASCpf5/GDEbkGZL1uyVDZv2hSU5wvZevfqpUs/veLGMt59e/eq5Yvni37xkpBt2pSpGmDPa1lM/RL4K2nBArW4UraXRHm0lVVdXmUDd16iGEdSU1OVHHiVDcsX02xeZfMiB9eaRcMrgnZ9QAR4aFhCyvQED2MwUqwE7HoegoBdC4IUsIsgQkEN2JWVJYsWLtQpD6/3CPccZvshgwZ5jrWCLMEO2PX61Wtp1iQuKDE+eFtlVVLQA3alew/YxT3iG7DrrUeiwfhBrJVgBexidVLwA3bN9qzMuX9zA3adOOH5JQNywXQdFj4jGl5HF7s+IhHgoeGti2VawbrJme91pl0vjUY2BuqtW3JCVfO/10Q8CAJjBSP0NW9ZhOUmymUwsGOumDgVWHG8Jgb9q1euypnTZzwPhMjy9MkTtWZgYvea3EBNsChiCHhNvJkTqhpfjWAk+nLD+vVBu0fwb2EJbzDuEcrYs3tPUIKJcY8QKIqAWDwPXp8vZOP+ZYlmMMriBQhfHj69YgeJwmeMSJ5eZeN67rlzZ88pYfb6gkZ5WEh4MfAqm9f73ywaXhG06/NEwD04eWYo4A8MCl4fPlelky1YD6CTLRjlUQZkw+sg6NtWcAuGbJTp2urK9/KJTCqbx7deJ4PDLhhtdbIFqx+QEUUSDNkoC9yCKRv3XLBkQy6OYJUXzLa6fg2WbLTztccpGHf/BrtfaaPX6SFf2Qr73YhGYZGz6/JEgAePm5u3GawaWA8YKCItIScDv1PqwRp4vLaTjdSQC/w4nHxey/VyPdiAF31Jnzq5igoz6uWeQp5AA6n27Yv3GDJtEU5ZnXzI5t9//ObuvefPcvpYCUiQyNbn+tnVj1zUiyx5Je7FQG3IK7/X88jm6qN/+d8/5WIX5ufjU7jxm5PdPbdu3AvUBv82efmf8vVZeP4id8z4ALsAsn2u373IE+haIxqBULFzhUaAm/7pk6fq7cwyMsJoE2HRmSlD/dDlV3Dk4GHLSGcn0pPqoPepATe/5XrJ5wYMdlwkit/hw4c1FPG1q1cDKlMvdRX0WgZ/pmDOnj4jB/Yf0AicmMcZVMONm+u7LHalTT2qZmbXHn5DniePH6tjIw617FyL0ykDP7+HOlEHeOEIiYme5azcay6hBHAIxSmRDbnwZ6C/mUYKxm69rp5An8hG/exyy2Z7TEVCHAMlpgXwUyGS6dkzZwRSFMqkBOLFC7l165buYMrSU2R1ycnOFCB+FuBG/7JU3Tefyx/MT1c3PhQs26dfffdcQnaeBWRn2pNxjyjBLFn17ftgyuTKevH8udy5fUdYucVSdsYzng3qRW5k4953spGHaWjaEmrcnIxGNBwS9ukZAW5qbl62m+7bu09ukBiCKCXMnKk+BwzAkZCQgwePmAtEkwzWTqle2sbAwPbQC+bPl26du6hs7Nvhthb3UrbXa9n2m1gcHdrlBEtjyRx9zJ4WvgOu13o+d72SiCdPhN1yhw4eIjWrVVM/IHcdv7NXzNo1azX4Ucf27TWgVe+evTQcNr+HMvEMoHAYyGdOn64RT2dMn6EyuXpx0Js7Z4706NZNA4ERgI4YFqyqCoYfjasn0Cf3GCsR2CGU+35g//76HPjnpR08Iwf27ddAWciH8gplot8IIU/4fYJgsXkfCtIlZIe0sU9J967dNEBWn569ZPmyZSEn4tSNo/GqlSs1qjDPJUtHXaLPiZjMDrguoCDB+0YMG6a+Ki5fsD/pJ7aoHzJosI4XBP2iXuKOEKYeuZEN8kMent8uHTtqMLAVy5br7rrBlilQeUY0AqFi5wqFADc9AyWbnyUlJsrxo8fkzJkzMm/OXF19wqoRbvqiTipndrZMnTJFlxuylT1vRzyURZlYDsz+FUTfXLJ4sTqY4fDHjqRFKRvKGSVIWGT2/eDtliV9fXv3lj69eqviChduvIExsA7s11+DJBGNlb0mXEI5Ih9RH1kiTBTbwwcPSbvWrVVWlFkoyQb3Fhu7DR8yVCA3rVu2kvFjx6kFw8mIgoJ4EwgMa8Gxo8dkzMhR+ozgUBzKhCWFIGTs1EpUSwhEIGdX7jesfe3atFXFCilB0YYqgdv+ffulV48eMqBff2ncoKHec77jBRY1lpFCHnk+cBC9dPGiKvxQv5lz39BnbDxHVOQ2LVsq6XF4INvokaNU2e/auUvvQYKW8czMnzfPZQv6J7htWL9Bt6lnDMNJG5LNaj/ILC9+yMZeLEQVxVH69KnTOj6z19PB/QeCLlOgAo1oBELFzhUaAQZxbu5nT5+qGZg3EjYu4g2dnTDxgi7KxIPJoLRuzVrdw4KtttmLIRKIBiZNQg+zMgEMwQ7FicwcRZWQgc272KsDszFKiH5MWbRIQ37Tv+FK9B0maTaIY+qmXu3assqHaKCYILngSJRFZAdHLC9VK1dW8zLnQpXoJ8zYy5cuU5I9ZtSoj4gG9UPIwZHnBf8RVrcQ1n3b1m2hEk3Lpd94K4fgECOEMNeBiAbWi9GjRsmgAQM1AinELZREA+GIXLtt61Y1/fNMQm4d0QDXM6dPS+MGDdSCQTt8n4+Qgqaro57qmAFuKYtSdD8irCsugU33rl2VCPHs0rf3791TfNnALZTPL1jotNs7Z3nqx1JFXBSmrFmZRKh6yBn3Hs8Q5IMtCSZPnBhS4u3wMaLhkLDPoCLgHiwGA3ZKxWTHjU6MiKJMyMP8KsG6eBPGVMueFkVNNFA4WAt4E9m7Z69uTb5+3Xo5fvy4DhYMXEWV6MtdO3dKk0aNVIFmMod+4qSa/rEa8JYcrgRO9CF4oKwZQP2JBpYW9iYhD7IzuOKjUatGTVWyzGmHMlEfgz/KetyYsTLOz6JB3e754BNlCsmsXbOmWmtCKRtKBkXEQYhwf6IBvshDjA6sGVgkly9dKvHNQk806FdwY9qJPVIc0XB9yFJ5LAS7d+7SJZu8LJw8eVKnpYjdEcoEbkwR4s8CiWTjQ1+igcWDWB9MKUKCIR7bt27TqbPNmzaHUjS9l9z9xL2HbwvWNHZF5hlh6S0b0iGXS/gwDR86VC1b3Avuevd7sD+NaAQbUSsvFwEGLW7iRcnJ+mBiFuZBKKrEw4TCwTQ7cfx4ZfWYrZlTLUqigVwQMPb8QHHGNWqsW9jXrlFT38JnTp+hshYVbtSLY+PsWQm60yo7XrIR2tBBg4X4IUXVpyglFI8v0UARYHnhjc4NnigJ5AdXopDm5fwYTHy593mjZdokENGgLuRzb5f9+vRVnxeuCXXS+w3Lz4LEj4gGyh4SiZl97erVkv0gW8kZG5FBMEOduJdQ4JAcX6IB+SG6LZvcQUJ4Tng+2MwsYcbMsJBdcIO84tvgTzQgOvgx0Y/s+MvOv+yYTPTWcBFx5IMMEdgsvnkLjYuCZRmCwS6/TDW5xLjM1DHTUFg3uF9DmYxohBLdGC6bmx6Wz9t587g4tR64N8yigIUHCcXE/gs4TDGPzwCAEyjbKe/bu0/f5JA73Ik6kY03kN9+/lmSk5LUQQ9nVUIlE7b6wIEDuYoznPIhG9hhfsXMigm9f5++Ur9OHR1UmVdH9qJIeRENnOEGDxyUi5cSjXuOaAQndPrn2psfosHzwNsnRLJ506Z6T3Iu1Ik+RXH7Ew1khjiOGjFCLTFMqfBGjLMlzzC+QuQJ5TMSiGhQJ+SQ56P0n3/p1BjTZmw6RoTPGlWr6dRYOHDLi2ig4NWRtf8AdcbE/4VdjnmhuXzpUkgxo90OI6wXTOHMTkhQco28jmicOnkyFyIlGpMnG9HIRcS+FDsEGNgxzbH6hHnABfPmq/m/KBvCAIajFEqI1Qrbt23TwYl9BXCKwpMdky2yhzsxcDNQTRw/Qd+EiIDIwMHBvDQe+Kw84f9wJ2RjUMLvoX2btooZb0B4sYMj22xfvHAx3GJpfYGIBgqUFQE9u3VXSwvy0/codAjbkpTFqmRDLTB9lZdFA5m4z27dvCWzZ81Sx8Ldu3fnyhtq2ajfn2g4nDasW6844cCNwy++LePHjNU3YqYCWK4ZyvswENFw8uLEimWF5d7I4DDEqsVKrVAn5MiLaDBVwgqY4UOHyYXzF/RFgTHG+UHwDHF9KBJYYInCzwdLHk6pRO+lPn7jWa1RtapabZ0MjM/k69alqzx6+Chksrn2mkXDIWGfQUOAOBDMp2KWw2GQt6JQDk75EZwBgvgPmBTbt20nPbp204eMN/Q/fi8hzeLiZN3adUVm1WCAxXrBUuC0tDTFi0GB6SZ8I9asXl0kGL55/UYHTaabpkyapJvGMcCDJ4oIEzb+G0WR8iIarA7AQuDiMCArb3qY2Xm7A+tQJ+73vIgG9WOtYiqAgZ5VNCgKpwRCLRv1BCIaL56/0JeCxg0b6dQJZA35sF798uNP0rtHTzW/h5KM50U0OO8sKy4UORjfzrytLwqJ8xeEGjbtn7yIBuHW69SsJaysQ1YwYtyDsDE1i3UoVGMgfcm0SOeOnYRdn6nL9RF9zXjC5pZMRSED57A2d2jbVpffIm+okxGNUCMcQ+VzE/NmzlsRzpZLUlI0LsTD7Gx9K+Y39wCEGxbqdQGUTp06pewfR0ssBSyl400Xcyz5wjXg+2JAnTgEsukWzma8OSIvDqvId/DgwSKRiz69d/eejBw+XBUNa/MZQHF0xGzdsH59DSzm25ZwfeetDGsUqyhcYtCEVDSqX19WLl+hOPK2yVRKk4YNJetOVsgGfCcDn+CmRGPcOB38H2bn7DNDPxNHg/nxrp27qGUNLCHnEKdwEA5kQDmxkojlrcRu4Rz3PjE2WNXDM8Jx/NhxmTaZZeC19I04Owj7g/ji5P+d/iN4GQ7a63xWnYAnpn/8bHh5YW8c8GWFFr4aTNGGOoERRIP7ihcCphNd4nvDevXUjwmCyzNCOwb2H6BLYlm6ThuCmVyfpR5JlVbxLd/FzrioU8IQCawo4Mn91bdXb91s8NrVa+p3w1QxDqKQj3AkIxrhQDlG6uCmZjBgUCpTqrQ6mvEWxEFwJ97gmAOOlMSggbmRbZSJ0Mj/RZkYnFhzz5wzUzzIhRPX9GnTlHQUhWxuMGOXUGRhGodAU/i1VK9aVeN+QIiKIjGQNqhXX1atXJVbPYM5US/nJCRI1UqV9G0SKxb3IwGgpUusDwAAIABJREFUwkV0c4jGfQ1yxjw9fQuWPCPEz/jh2+90igLLGrEj9Dnp2VMH/lCTDeRQopGUpKtzINiBEvl4JiDjODdCkEKdwIdIn0o01q5V4uXqBEOm8CAWPB9YCnAOZQt5fgt1cnhA/qkfIuES/l4s3yeuS8sW8Tp1xwsCz8y2LVuDTjKol3sMPxVIz0/ff6/TmEwbuntpQL9++jt9jfURkkY8FHzUKpQtq87cvNCEIxnRCAfKMVIHNz7zp6xOIDLdhLHjZNL4CXrgSIgH9t2s8NzY+YE850G9rQOpm/fNz3WhyoMS5K0WpzLeeKdNmSL79uzV6QoG4KJKDLA447EseFHyIpk0YaJMnzZdLTAMsEUlG0owJXmR+rE4bJAVHJFr+/btGtcA0oGvC23g93Ak6sGCt3vXbg2SxGBPIsT48WPHZOyo0epwOXHcePXN0edkwgSdhgoHntRBMLP1a9d+UkkzdYZvEystuDdDnXgmsZpAbs6dO/cBMaRfsY4y1TRrxgxdpUWob97ew4EZbUcG7qVVK1bqc+nw0HvuwQOVLWHmLO3TxAULdHlwqFY5cY9B8lOSk/V+YryF1Loxd+rkKfo7srnnF180lqRv3rQprOOKEQ13p9inZwS48RkoeOh5K/M/UAz8HinJyYtMfOeIhMTAAFYcfI+E5LByfRsJsiET8gS6p/jNF0fXx+HE0mGGHHwnObn8nw33fzj7G0zyws/h5NuGQDi7fEH7fDeGUFdefebbr77YBk2GzxSUF26ub3k26E8+82rDZ6rI98/U6Z5Jdw+5z5cvXnzwbCALMnFwDdeGKxnRCBfSMVIPNy8HN7XvwQZNemOH8ebOD+RO3vzkDVceJ5P7DFe9+akHmdzgyfeiTp/CyP3mPotC1kB1c8732fD9zm9hSwUg10UhV151ct73CBterqJP4OYrl/vuLgvVJ/X43kPuO+fF535y8rjPUMkTqFwjGoFQsXOGgCFgCBgChoAhEBQEjGgEBUYrxBAwBAwBQ8AQMAQCIWBEIxAqds4QMAQMAUPAEDAEgoKAEY2gwGiFGAKGgCFgCBgChkAgBIxoBELFzhkChoAhYAgYAoZAUBAwohEUGK0QQ8AQMAQMAUPAEAiEgBGNQKjYOUPAEDAEDAFDwBAICgJGNIICoxViCBQtAgTg8d3fQNfQF61IurYfmYjSmVdgJc4TtZB8fBIDIBITcj548EDlLAy2BEkiOmheOBS0zfQ3kUf5DEUivDu79CK3JUPAKwJGNLwiaNcbAhGAAPt7LJg3T0aNGBHSnSIL0lSU6vSp03Sr7Nu3bweMRIgi27F9u+4WevLkyZApzoLI7QIa+RIKFC9bfrNVeWHI0LVr13T3UZR3Ya73l5/Nz9htmJ06Q5HYz6NVfLzuMhuK8q3M2ELAiEZs9be1NkoR4G175PAR0qZVK7l8+XJEhC7nbbtfn77yx+8l8iQ/vOWzj0aVihVl/959H2yiVRRdBTliV1CIgXubh3CwaVeJX3+TXt27F4oosH14reo15MCBA4W63hcL5GG7+7q1asuunbt8fwra91kzZsqfJUroxmG+hCtoFVhBMYWAEY2Y6m5rbLQiwOZKw4YMkZYtWghbuaPAUfQcgcz1KA/erPntc/ly87zbI+GT5b3KKY88yNCrR0/57edfVHEHepNnumTpkiVSsVx52bN7zwdEg/xONj7531fp8Z16OPzbonX5hF+m311+yoJE+B6ujKdPnsqSxYt1a3emc8jDb0z//PLjT9Ktc+fcc042fveVK9A9lpGRoYSKLcRdficz/3O8epl3f/mXiSWDjcfYDNC1jfJ8y/ycfL54uLoVNxGZMW2a9lt6WlqObO/uJdcP/vJQFte6OgPlC5SHdrs6/cu0/6MHASMa0dOX1pIYRiCXaDRvLufPnZPMzEy5eOGiXL50SdgK2n/gZ3CHCJDv0sWLgkJhZ0ynBIFSFdGrV/o2j0K7cP58wHzkpTxIw43r15XosPU4yrlnt+6FIhrUTXk3b9yQixcvSkZ6hjx6+OEunciKXFggfOtGqbPTKDJRjmsLypSpi/S0dG0LOHHQLiwYXMP/DerWldbxLeXE8ePaFqxFHBCNLh07aT6mLiB01AUh8a1LK/T7Q//QF9SB3A777AfZArm5eeOmXDh/Qa5euaLlkedTCQsL/QvG2k+vX2vbmKJimifrTpZcunRJ+zYvXwvuCdqVng4eF9R6QbmUB9H49aeftQzOpaWl6ffMW7fkxfPnubg6GV+/eqVtAw/uJ/qfPvHFH4zAiu3VwQ75srKyPiCXrjz7jC4EjGhEV39aa2IUAUc0msXFSVJiok5ZMI3SOj5e+vXpo9uPo4AY+BnwH9y/L6tXrpLuXbpKm5atpFWLeBkxbLhugY0SJJEPBTNi2DDp0LadtG7ZUuKbNZchAweqcmJ3SBJv/Siz2QkJ0rZVay2vW+cusjAxSXr16KEKC0JAef4JZeRv0UABoiiXL1umir11y1ZaJluro6D4nXbgDNm5Q0dZmJSk28VrW1rltGXq5MmSkZ6uspGXNp0+dUoG9h/wrr0tpF7t2lK7Rk1p0ayZTJs6VXbv2iU9unaT777+Rkr+9rs0bRIn7dq0kX179+p22z//8KNeu3TxEunetZtOU+G3MXrkSEm7fPmTCnPH9h3SPK6pnDxxUmWC2A0eMFA2bdgoSQsWCHiBL30xftw4nWpy7fTHjPYcOXJE++zggQOKBTt2zp0zR/tq08ZNMmjAQGnbuo3EN28ufXv11qkW8tAHHGB37OgxGTp4iLRp1VrAuF3rNsI24pAciMbvv/yq/jPDtf/bSssW8dK5YyfZuGGDkhnKQRbkhESNGTVK+x+S1ql9B1m+dKkSCX7nHoEwTp40Sdq3bav1cc/16d1bcfdvo/0fXQgY0Yiu/rTWxCgCjmjgR9CwXn1JXJAoRw4fli2bN0vzuDipWa26KlpVus+eyZpVq6VMqdIydvRoVUIb1q+XBnXrSbO4pnLhwgVFEYWTeuSIkgXM9JSXnLRQfS46d+iglg4y8pY6dswY+fG777U88qGMUFzUgYIuCNHAsjInYbZUq1xZpk+dKijTVStWSrXKVdRCcv3aNeENmrdx/D+oo2f3HrJ182Y5fOiQzJs7V88NHzpM7t+7r4qTKYv6detK4wYNZd3atXJg/35Vxv/58t8qOxaTO7dv6/lSf/wpLZo2U4Jx7OhRVZbU9dP3P6ifBmRg/dq1igdk6s8SJaV7165y7+7dPO8+SBM44FsBuTpz+rTiXe7vMqroN2/apOXNnDFD/ipZUkaPHKVkIBA5ow+3bd2qlqKNGzbmEIcnT2To4MHy/TffSvOmzSR54UI5dPCgbNm8RerUqqX9irXGKf1Tp05Jvdp19Pz6teu0n9esXiPbtm5T8jBj6jRtb5WKlWTShIly6MBB2b5tm3Tu2FH+KvmHgAtlcY9gvaCva1StJtxHe/fskXFjxkiFsmVlYWKitgPLBYS3Uf0GsnL5cu2nnTt3yvRp02T3rt154mY/RAcCRjSiox+tFTGOgCMaKN4Vy5erSZ23eN5c161Zq2/oWzZt1rduFHVc48bSv28/uXr1qhIFTPB7du9Wxb1g3nxVICg53oIxnWPyf/L4sdzNylKn09J//iXnz59X1CECKPthQ4aqpYR6nz19KufPndfyCkI0nj97LqdPn5Ya1arLhPHjdWqHKROmf1YsW6ZOo5Ae2uWmMxrUq6fkCAXOgVJj9Q2k4tzZHOWKIodAbFy/QdtLPqY/6taqpZYJLDIozls3b0nF8hXUF4MpGdqPMqUuiBTtZHUM9SMrpAjrSfUqVXSqJa/bcPnSZaq4fYkGhLBS+QpqeUEecIMQ9evdR+rUrKVWFOr2Tx8SjQ0+RGOITu8sTklRiwPl0XeQPkjA+nXrtQ7q6tOrt9SvU1dO0ZYnT/U8+bE8kFgt9OU//6WWDfqe37CIHT92TCqULSfjxo5VbDgHsaP8fXv2Kk7UeevmTSWFVStV0r6DaEJssP7cunVL+wAMOVyd/u20/6MHASMa0dOX1pIYRsARDawSx44d+2Dw5g2z1B9/CMru6ZMnOo2C0p0wbry+RaM4MemjjEv/+ac6laJAUHJuWgRCcu7sWX3zRclgOcFygdKbM3u2/Pjdd3I0Nectl25Qy8nz52oZyDfR2LVb5duwfoP88uOPMmP6dDl54oQq9qNHjwpTFigulphCjJj+wdGUqQEIAXVyoEgT5y8Q3saZYqANkBTazFs5bSN/1p07OhXEFAO+Elx75/YdqVqpsvTs3l2VoWuLs2hg6UDpuroom7f4sqX//uQUQCCiwdt9v759tS3u1kU22lepfHm5cf2Gkh/3m/uk7vcWjfdEA2dgCA/WBpdoJ/2Ekk9ZtEjbDhHAKsG0lsPN5XefEA2mkE4cP6H3AechnviAVK9SVZcjgwM+NF07d5a4Ro0VW4hIzv10Qgb2668WFnwxuA4CxdQezrZnz55VUgJ+gaw2Tg77jA4EjGhERz9aK2IcAUc04pu30Ld73s5dwsfg779KybIlS9UysXhRir6dN2nUSE3+vXv2lN49eqo/BEoERcd0CLE58FvgLZQ8TE9069JFlRYK3hGNcWPGyg/ffqdvrihBl1AiPbp1y/HRuHYtoEKBFDgfDUzo1IuPyb//9YU0adhI5UI26u7Qrr3Ur1NH5s+bp2/qKH8sOCOHDVfFT73UjwLEb6NyhYpy+NBhVZRMG9A2fDB27dip/gnUU75MGUlKTMolD3kRDYgN5Ael6qwM1EUbWbqKpWPXzp2u6R99BiIatA9/DNrsEkQQfxFW4eCg6tuPLk9eRGP40KFqpcCS5BJEIvVIqp5ftDBZ+x+LAiSCaTPf/nLX8MnUCc6g+Oi4PBACLFpYL/DVAGccP5s1idNpkk4dOihBo7848EmBtOFsS97Tp07LqBEjNT/TT2NGj9bpKYiPpehGwIhGdPevtS5GEHBEAwc7Bn9fBbVv775cosH0B2+U+BWg0LB2MJfPwRTI/n37dWUJCgrFiVLp2L69OltiDdi9c5c6HEI0UOIoIZQlRAOzv+/b6QdEIz/OoO+IBiSBFR7Ecjh4IEc2Jx91smoB+SAatINpEpeQB6WWnJSk0xLkRyaUWUpyspQvU1biGjWSLh07Ssd27dQHhLdtyAPXfpposLy1ywdE45UHooEcE8dP+JBoPH2qMhWGaOC026BefV1B4vBQopGaQzSS3xGN25mZSjRw3nQkwuV3n255Kw61Ls/bN2/lbtbdHKLRoaPijBMoVh4cQLGIcf+4++nA/gP6HezpA+4HplS452bPmiUtmjZV0rp29Zpc/F399hldCBjRiK7+tNbEKALviUaLTxONJ09kPxaOUqUkcf58NaWjSPwPiEqv7j2UQOA4yFw6ypj5epQjUyeOaMyfO1f9D9RB8N0cP+Wh5FilUqCpk6dP1YH1159+klUrV6qC8peN/0kFIRpYTrCE8JaNz8LR1FS58m5pqiuPT8hSoKmTHItG8ScaTM1gQWHqBOsOfeTa7/vo5JdoYB2hHHBlaS5kgvJ8D99yOf/m9Wu977AyMX3EyiEcaX1Jqu819r34I2BEo/j3obXAEFDHQebo1aJx6VKeFg0ULrEzUAyYr3G85I3z8aPH8ujhQy3HkYqe3bqpZYFVKBAZ8mEtqVOzpi59dFMnEAzewFlVQNlMuaCY8a9gmSjWiU+tOmFKxwXswhqBqR1nyD69emmUU5Xv8WN1vKTc5+/2RCkI0UDB8tZNpFIip/JmjawoOJwhIVYowewHDzTiZtPGjdX/AGLlrCc5AbsKb9H4+YcfPlh1ohaNCYEsGtMKNXWCRQMHU2JiuORr0WDqBBzAmKW1LO3d+86Bk3bi2MonOHyWaLybOuF+SkleJKyeWZKSotNnOu32+HGuH43z9cFJl/7j/qAugo5hIerYrr32A/Vaik4EjGhEZ79aq2IMAZQuUwjEsfAPQY4Jm5UCrEYh9gWKhmkQ4kjgc4CTICs5WLo6eeJEdfhEOeDkiG8H/hnLlizRJZO8vXZo107DU6empirKKKc5CQk6LcESS8pi+oNgXU0aNVaywUqXQG+syJITgrxSbghyFBV7bTSqX1/n/CEixPxYMH++TivwJox8KCvkw9fAJZQVypVpEnwyWJ5LXlaQDBk0SKdTevfsJSx9xacBPwHaeTszZy+WZ0+fybQpU9XnAt8T2oLihmjlhCDvoW/k1EddEBSWEOcQpbyXaa5csVLJGctqIUpnz5xRsseKFfBzCcU9c/oMdXpl2Siy+yfqZX8Ypo02b9qsuLLKh/7HKRMy6BIWBpyDsRywGgUSicz4cRAjhDgg4Lpm9WphtdGi5GStM2EmIchLfhCCnHohZpDAbl26Ks7Ix9QTJLdalSoyacIEtURxr82cPl2XKdMmVg1NGDdOZkybrn27euVKmTR+goZlZwks5VC+pehEwIhGdPartSrGEECBMNc9b84cHfh9lTpe/8RlOPLOMZLfeLMl5gQDP+RgyKDBGrAraUFirnJBAa5ds0aV8uCBg1ShE38DiwNKmvl7EkoCqwO/sd/K0EGD1W9j8+bNsnP7DlVCKOpAigSlh1yQBRQkZXFANlDKUydNVtmQj7KXpCyWzFuZqlxR2AQZIw6ES9RBmSwjZVUNgbEcmUE5Et+B5ZiJCxaogkU544fCKhWUMtcSLAziNGjAAK3z6JFUJQODBw6UxYsWfdAOsGSJKP4Obrmvk8X388jhIwKGBK2iDkjErJkzRZccvwuQRn5k2L51m4wdPUanhnz70ZVHG8+eOavLiU+dPKXycB1kAeWOpcYlsLyScUXJEz445ON6MIFsEK+EvqTPRo4Yoct/qXPHtu0azAuC4BLXYY2ATEBKaQfnyE+dK5evUMdhCB33FPhDaKkT3yDilxB0jb7kGD9mrJI8lhZbim4EjGhEd/9a62IEARQKVg0UulMArukoFRwAIRcoBhKf5HuY/VDDX2PG1mmPdyGyyYMCwTqA3wKKkU/eTt05ynWJvPyPeZww5Cgo8kIYWEaKfK5ud42rA7lYzUD+t++ih5IXBUWbWEJJmVgdyEtd/E6ZnMOy4Zv4jXw4dlIm12PRgaggC79BzCBShMwmMiiWHeriWspHbvwPOFgJonXdvq34ksclvlOHw8ad9/+kTt78wYjyaRtWFmTnf5f4jjIHP0cK3G++n9QJ4aIdJK6D7Ol17yK2ch75qBNljrL3rYv+p52EFVd8b9/W8rhGz2dm6v4rvvWCA32F7L5l8d23/7lfqNO1l9+ROef+yOlPfude8i3Hty77Hj0IGNGInr60lsQ4AigIDv/kzn/yt3fK2z+P77WBvvvWlfu7T1nunG8+/+8uD5++yfc8Kx7c/4Hy+J7ju8uLYiRo17f/+VoSZs1SxYeC5TxK7trVa+qrwPJZlKuTwV3vPn3L9K/rc7/l9btv2b5luvN85pUC5XHnxO86dz5Qebm/+eHrzgeqP6/f3Hn99LkHXBnud4iF+86npehHwIhG9PextdAQiFkEUGQ4ILKleo2qVYVgYIT/5mDagrggWDvWr1unb9am+GL2VrGGhxABIxohBNeKNgQMgaJHAOsF/hM4gbLfSd3atZV4sEKjS6dOsnv3bp1OKXpJTQJDIDoRMKIRnf1qrTIEDIF3CGClYLUN/hA4Rp4/e07DqRN5E2sHUyiQEUuGgCEQGgSMaIQGVyvVEDAEIgwBCAf+Ae7gf5sqibBOMnGiEgEjGlHZrdYoQ8AQMAQMAUMgMhAwohEZ/WBSGAKGgCFgCBgCUYmAEY2o7FZrlCFgCBgChoAhEBkIGNGIjH4wKQwBQ8AQMAQMgahEwIhGVHarNcoQMAQMAUPAEIgMBIxoREY/mBSGgCFgCBgChkBUImBEIyq71RplCBgChoAhYAhEBgJGNCKjH0wKQ8AQMAQMAUMgKhEwohGV3WqNMgQMAUPAEDAEIgMBIxqR0Q8mhSFgCBgChoAhEJUIGNGIym61RhkChoAhYAgYApGBgBGNyOgHk8IQMAQMAUPAEIhKBIxoRGW3WqMMAUPAEDAEDIHIQMCIRmT0g0lhCBgChoAhYAhEJQJGNKKyW61RhoAhYAgYAoZAZCBgRCMy+sGkMAQMAUPAEDAEohIBIxpR2a3WKEPAEDAEDAFDIDIQMKIRGf1gUhgChoAhYAgYAlGJgBGNqOxWa5QhYAgYAoaAIRAZCBjRiIx+MCkMAUPAEDAEDIGoRMCIRlR2qzXKEDAEDAFDwBCIDASMaERGP5gUhoAhYAgYAoZAVCJgRCMqu9UaZQgYAoaAIWAIRAYCRjQiox9MCkPAEDAEDAFDICoRMKIRld1qjTIEDAFDwBAwBCIDASMakdEPJoUhYAgYAoaAIRCVCBjRiMputUZ9DoG3b9+KOz6XN5i/U+ebN2+K9UEbIjW5Po1kGSMVO5PLEAgVAkY0QoWslRvRCLx8+VLu3r0rr169UsIRLmGp78H9B3Lz5k25cf1GsTuQ++HDh0qUwoVZfuuBwD179kyys7Pl9evX+b3M8hkChkCIETCiEWKArfjIQ4C33SsZGdK/T185fepUWJUS5Gbq5CnSuWMn6dKps6ejU4cO0qFde+nUoaN0CUJ5+ZEHuefNnSuvXr6KuI598eKFrFm1WsaPHSsPs7MjTj4TyBCIVQSMaMRqz8dwu3nz3btnr/z8w4+ydMkSefH8RdjQuHz5slSqUEFK/fGnxDVqJE0bN5GmTeIKfDRrEidVK1WWf//rX1Lu7zLSpGHhy8pX/Y2bSFyjxvLjd99Lvdp11HIQNtDyWdHjx4+lZ/fuUqFsWbl+7XpYLVX5FNGyGQIxiYARjZjs9thuNERj146d8t3X38ii5GR5/vx52AC5ePGilClVSgb2HyDXr1+XrKwsncLB0lHQY8P6DfJniZIya+ZMuXXrlqeyPlt3VpbWUbdWbalRtZo8ffo0bJjlt6JHjx6pZefvv0rJ1StXjWjkFzjLZwiEGAEjGiEG2IqPPAQgGjt37JRv//N1+InGhYuCIhwxbJg8efLEkzLctWuXlClVWpIXLlSyFEoHSMqGkDWq30CqV6kasUSDqR0jGpH3zJlEsY1AVBENFAiH18SgSjl8hnLw9iqnXV84BIxoFBw3IxoFx8yuMAQMgRwEooZooDwuXrggFy5c8Ew2WBmAKfrSxUvCvG8wyIvdcJGDQKQQDaYfvBBZs2h8eE8xdWIWjQ8xsf8MgUhAIGqIBl7w3bp00YHG65w75GJxSop07dxFzp07p0sgI6GzTIbgIGBEo+A4mkWj4JjZFYaAIZCDQNQQDZa21a9TV+rUrOXZI544ATOmTZf6derI8WPHhJgLlqIHASMaBe9LIxoFx8yuMAQMgRwEwko0GKx8D9cJvuf4nlf6VD6IBiSjZvXqAR3VfK/Nq3x3noA/U6dMkTq1asnR1FSh7Pxc75uH73ml/Objet+8rjzfc+67+80+P4+AEY3PY+Sfg/vMnEH9UbH/DQFDID8IhJRoMKAzDXHh/Hm5nZkpN65fVwvBoYOHdEriwYMH6nl/48YNOX78uBw+dEgDKN27d+8DZ0wUfeatTDl96rQcPnRYjhw+nOM/8ehR7hx3IKLB4Ii/BUv3CMxEvcePHZfMW7fk5TvyEAikXKJRs6bs27tXzp87p3UeOXxE0tLScvw2fCIPEoWQay5dvPgu32FJT09XwgMGLqksWVmKB2UdOnhQzpw5I/fv38+dnmEwP3v2rEaOpEx8To6mHtXyuJ52gtfJEye0PZRDvdkPHpgviQP6M59GND4DUICfjWgEAMVOGQKGQL4QCCnRQDESgbF7l64ya8YMmTZligzqP0B6dusuRDVMnL9Atm/bJpMmTJCB/ftrsJ32bdtK4oIFcjcrSxUnSuHWzZuap0/PXtK7Z0/p2rmzdO7QUdasXp27rM+faDAwcm3a5csyYdw46dGtu/Ts3kO6de4io0aMlDOnz+Qqd3+kHNGoWa26RhkcMmiQ9O3dW9vRt1dvWbd2rYZhdnXcuXNHUhYtkn59+kivHj20rn59+8qmjZs0nysf0pWUmKgRKWlH965dpX2btpIwa5ZQBgnyRdvmz50n69etk6GDB8uAvv1k1cqVSlwgTMOHDtW2aBndukm/3n1k544d8vpV5EVrdG2PpE8jGgXvDSMaBcfMrjAEDIEcBEJKNPBtwBpQvkxZqV2jpiTOn69TEUxHjBw+Qv74vYQ0i4uTebPnSOqRI2rRGDt6jE6BbN+6TUkESgFryJLFi5WUHDt2TPbt2yddOnXSNf3nzuY4a/oTDawMWAogJ0Qy3Lhhgxw7elS2bt6i0Rhbx7eUB/fvy1sfi4O7KRzR+PWnn6Vdmzaq8E8cPy4H9u9XxQ8B2b9/v/puEAthxbJlWsechARt36FDh7R9tHn3rl25lgbyrluzRjauX6/5UlNTNdgS6/4hTSQIR42qVaVhvfrSr09f2bJ5s5w8cVKuXbumpKV/337SsnmLd+dPCHWtXbNGzpw+HdZQ2g6r4vhpRKPgvWZEo+CY2RWGgCGQg0DIiQbTAKX//EtXg2Skp6vpn+mBgwcOyE/f/6Bv9VcyrqgDJ4oYZQ4xINrho3ebN5Ef5Y+TJlaB+/fuKXEgWBHWBUiGP9Hg/82bNmuo5+XLlun0CddDPmbPmiU/fPudRofE6uKfHNEgRDWrTyAklIccTNvgCzJ65CiV6erVq9K6ZUvp1b2HTqtQB9fTvorlysuEcePlyePHOsVDXUxxuHbwCYEAn7GjRuOQIbdv35ZqlatIiV9/k21bt+rUEoSNg+V7BEzq3rWbXgcWYMaBfChQS59HwBGNb776j1rV6BM24wrHcfr0ae3v4UOLZ8CuhvXrS7XKlfU5Cgde+a2DpcJYQTu0baf4WmTQzz8HlsMQCBcCYSEalStUlKmTJ6uidA1j6gJz/RPDAAAgAElEQVSiwAZTKHDemFCmZ8+cUSvHmFGjBV8NzmOdYCBBCWMhwZdj+dJlOqAsSVmsCsKfaKB8R40YIX+VLClbt2zVa7CkYDmZP2+efPf11zJj2jS91snkPh3RqFq5shw4cECVuPsNGZh+Yd8HdrLEz4KQ0iOHD5f9+/blWmyY9qhVvYZOB2GRQblx0FbadenSJfVX2b93r0YyHDposLaV8om82LhBw9z2UzfXggEbRkFCqO/UqVPy+NEjnQICJ0v5QyCHaOyQr774Uknb4kWLZNnSpSE9li9dKhzTp05VkjtsyFAliF76rSjiaDSoV0/vPzCjPaHGrSDlEyG1VvXq8lfJPywEef4eBctlCIQFgbAQDd7QsSKg/F2CUJQvU0ZmzpihBIMBlzf+c2fPSvO4OFGicfeuKmamKVCs7dq0lfjmLSS+WXMdUP4sUUItDrz1+BMN3v7xq8BqghWgVYt4adOqlbRp2UriGjcW9mzArwJy458c0ahTs6YSE8p2CWsKvhgMaNevXdMpjB+/+04qla8gzZs2y6mjVStp0bSZWj4mTZiob1ovnj8XNtSaPnWadGzXXlq2aKGWEKaOeLMe4kM02EuCtiKHU0QOHxxZWXrbtEkTaVCvvvTv21e2bd2mb5i2NbbrpU9/QjQ2b9ok//7XF/LLjz8p4WV6L9QHm32V/O13+T//z/8rgwcOUuuc699PSxz41yIhGnXryf/89z+UHNOeUGNWkPLZqI6w8kY0At8vdtYQKCoEwkY08F94+uT9RkxKNMqW1SkSN33hTzTYcIqpCSwDWBAWL0pRq8HJkyfVOZKBhamNvIjGoAED1OrBdAz1sfqF4/z588LmVvfu3g3o1+CIRs1q1dQS4ks0MM/i8EnMDjbFwgmz1B9/yMTxE9SXwrcOrC9EGIVk4OTZo2s3qVKxklpSdmzfrithiNPBwIjDKUoHiwZEo33bdjp15K+IIBNMmWARwrG0Xes2unvnwsQktXgU1Y1UnOqFaOzYnmPRoC+xjq1euSq0x6pVsnrVKpk1Y6bugDpsyJBiadFoWK+ekiUsDbQn5LgVoF+wbjJWGNEoTk+jyRoLCEQs0Rg9apQqXaY9cMpMSV6kipSpB6wVK5Yt150r8yIakI95c+bqoIhSx5rifB3cJwrHX5HT6Y5osDPmpg0btV7ycbCUFGsC21FDOiAwOIeyEoQpElc2nxAUiAEE6uKFiyoLlgscPvkNGTMyMtTqMmTg54kG9SMzZVI+bYLMYOFBpszMzFi4Zz23EQzZVE19NBYsUJ8Z7qtwHCxnxienuPpoNHrnowFxDgdeBamDF4cO7cxHw/MDYgUYAkFGIOREg6kQfA7mJMz+4I0bJ9EK5cpJwsxZuctMcy0aTZvKmNGjVSHv3bNXcMqcO3uOKgRIBsq1RbPmumrF10eD6RDeaPBlQBGfP3deSUB88+Z6DZYAlDs+Eix75XugBNGYNiVnLp2VH8TOoEycQhctTFZzMctNUfRZd+6oYyhkA3M815L3YfZDuXb1qjquQgxY5osFhukcfDuePX0qN2/ckDGjRqmvAMtYIRJYNCgLpzbayjkSn5ATLCYQFermQLbmcU11aggLkKXPI+CIRlHv3sp94vr381J/nKMopk5s99aP+8HOGAKGwKcRCDnRgBRANObO/pBoQEAqli8fmGjENZVxY8boShFWiTRt3ETKli6tcSywJEAosAwwxcCyV956UML1ateWWjVqKoFgAIdsEKcDHxHysjKEeB2t4uOlbu3aqtQDDfSsBsGXonHDhtK2VWuJa9xEBvbrr7E/KpYrp7FACJrlrAtMxbCZE06vxPggVkjXTp2lcYMGsnnjRs3HypPxY8YqOWrTsqUM6NdP4ho10utoDxYRZMlZ3vpu6sSHaFAXxIK4G82aNBHieQzo11/q162nxGfLli2Kw6e7234FASMaBb8PuDd5zoxoFBw7u8IQiHUEQko0eJNnOiFh5kxdtoridwkzP6s+9u3dpwM/51EAnE9OShLiaKBYuSY9LU0WJibKqOEjdPXKrp071fcBZ86jR4+qRYS6mCqZM3u2XkN5xMjgrTEjPUOWLVkiY0eP1vgW+IsQfwJyEohoPH/2TPbu3q3xKbBEbNq4UUaPHKkrPrBaaGTRd23henwwsE5s3bJFg4MRI4QgZOTFykAerDU4khLzAisGQcQ2rFuv7eAceUlYMRJmJai8DOwuUQZYEBF0/ty5uqKGwGNJC/7/9s7DO4qjafd/z73nnvt993uzbZxwxAZjkskgcs45Z0RG5JxzDiLnZHIWIHLOiCwkkuueX0HLw7IrdplZaa2tPmfO7s72dFc/3TP1THV19Vy13JAXDCx9GAEjGh/GKDQH48+IRigq9tsQMASiQSCuRIOHE8rPHfx2iYc9it6rHPmf85xDMUMU3LmXL14IBIBr+M+VySd5OFDEep2nHuqjTP7jQZmbkysvnr/Q67kmXOK8q4NrqZt6Xd3hrnPXPM99E2/D5eV6l7Sst2HEkcXVgWwOB5eH395rKYM6OE/Z2pbcXG2Xu9bVY5/5IwCu+GjY1En+OHn/ZewZ0fAiYt8NAUMgWgTiSjQQggeUO7xCcY4HPp/e5PI6kuHKIK9Tvu46l9ddz3mO0OTq8pYRWu8713hk9l7r6n0nr+eHy+vk5Le3Hve/k9P97y3XnXOfnuL1a14Zr/7Eg3OWokcAvI1oRI8XORljRjRiw8xyGwKGwBsE4k40DGhDINEQMKIRe48Y0YgdM7vCEDAE3iBgRMNGQtIhYEQj9i43ohE7ZnaFIWAIvEHAiIaNhKRDIGGIRnb2O1NrsXaEd3krDsnxnkKzqZNYe8jyGwKGAAgY0bBxkHQIFCrROHdOw3cPGfRmUzVkgSB8zMHqK/bZYY8PSICfsqKp34hG0t0q1mBDIBAEjGgEAqMV8ldCwBGNYp98KgsXLFAlXVDyE/q+1E8/S4e27WTP7t1y8MBB3RGYXYFjPYhN8+3XxWXIwEG6fNxPWdHUvX/vPg2hT1wclo0nWmJpeMd27RVf27010XrH5ElmBIxoJHPvJ2nbIRrsf0No+/T0dF0uXFBQXLp4SYPHsR8HwdbqpNSSOrVqf9RRvmw5+eRf/5bSJUvp3jt+yvqwDLV0E7+vv/hC6tepGzGqbkHhGK4e4u706dVbydCtmzfjPpUUTgY7ZwgYAu8jYETjfUzsTBFHgGkCgq4RBI5N+woyDgkh6tesWiUTJ0yQiePHa6h7wt1/zDF+7DgZN2aMjB83Tib4LCvq+idMkM2bNmsMmEQbJsSjOXzokJJHSIclQ8AQSAwEjGgkRj+YFAWMAEoJZRQuwFs8RYHUsOcOofXZc+evdrDfD7hhFUq0hEwEs2NapyDJY6LhYPIYAomGgBGNROsRkycpEIjG+TJR8yRFB1kjDQFDIDAEjGgEBqUVZAgYAoaAIWAIGAKhCBjRCEXEfhsChoAhYAgYAoZAYAgY0QgMSivIEDAEDAFDwBAwBEIRMKIRioj9NgQMAUPAEDAEDIHAEDCiERiUVpAhYAgYAoaAIWAIhCJgRCMUEfttCBgChoAhYAgYAoEhYEQjMCitIEPAEDAEDAFDwBAIRcCIRigi9tsQMAQMAUPAEDAEAkPAiEZgUFpBhoAhYAgYAoaAIRCKgBGNUETstyFgCBgChoAhYAgEhoARjcCgtIIMAUPAEDAEDAFDIBQBIxqhiNhvQ8AQMAQMAUPAEAgMASMagUFpBRkChoAhYAgYAoZAKAJGNEIRsd+GgCFgCBgChoAhEBgCRjQCg9IKMgQMAUPAEDAEDIFQBIxohCJivw0BQ8AQMAQMAUMgMASMaAQGpRVkCBgChoAhYAgYAqEIGNEIRcR+GwKGgCFgCBgChkBgCBjRCAxKK8gQMAQMAUPAEDAEQhEwohGKiP02BAwBQ8AQMAQMgcAQMKIRGJRWkCFgCBgChoAhYAiEImBEIxQR+20IGAKGgCFgCBgCgSFgRCMwKK2goojAH3/8IRzRJJf39evXUhCHqy8a2aLNE21boy3P8hkChoAhYETDxoAhkA8Cubm5kpWVJa9evconl8jrV6/k0cOHcuvWLbl582aBHNT17NmzqIlQfg2AYOTk5MjDhw+VJOWX1/4zBAwBQyAWBIxoxIKW5U06BA4ePCgDUwfI9WvX81Xo9+7dkxnTp0vH9u2lXZs20q5N248+2rZuLW1atRY+I5bVuo106tBBNqxfrwTBT8dAMl68eCEb1m+QKZMmCW2xZAgYAoZAUAgY0QgKSSunSCKwaMFC+f6bb+XokSP5vulfuHBBmjVuImV+KS0tmjaTNq1aSVvIQowHBKNxg4byr7//Q37+sYS0atHyvTLatGwljeo3kBLffy8DUlPl0aNHvrBnmgdrxtDBQ6RB3Xpy4fx5X+XZxYaAIWAIeBEwouFFw74bAiEIzJ09R774rJgcPHAg3+mTc2fPqpLu1aOHXLx4UW7fvi13796N+bhz546Smq+/+EI6d+woV69efa+M27duyeFDh6RBvXpCfQ8fPAiROrafEI3s7GxJ7ddfatWoKWfOnImtAMttCBgChkA+CERNNDCveh3c8imz0P5y8vkW4A9RMzlt5rCUvAjMmTVbPv/0Mzmwf3++ROPsmbNSv05dSe3XT306nj9/Li9fvoz5YArj/Llz8u3XxaVXz55qrQgtB78RiE3TRo2lZ/fu8iAwotFPUqrXkDOnTydvh1vLDQFDIHAEoiYaPNx4S7t+/brO4fLwS6QEIbh7547wRuiXHEBYHj9+rG+SKAy/5SUSTiZLbAjERDTq1pWBqam+HCoZaxcvXNDpmr69e8vTp0/fExjHVKwmzZo0MaLxHjp2whAwBBINgQ8SDZTug/v3ZeWKFdKvTx/p16evTBw/PhCFHiQYEJ+0YcNl2JAhAjnwk/Dk37h+g4wYPlwuXbyY75usn3rs2sRHwIhG4veRSWgIGAKJjcAHiQaWjM2bNkndWrUlbdgwWbF8uaxOT9elfIn0pg+5YH65RtVqvr3wsWZMnjRJUmrUkGNHj6pHfmJ3o0kXLwSMaMQLWSvXEDAEkgWBDxKN+/fvq5WgRbNmknnqlJpy8VDH0pFICaJRs1p1qVa5isYW8CMbXvwTx0/Q8lhtwLy5peREwIhGcva7tdoQMASCQyBfooGCvXrliq7X79yho2SeylT/DKwcWDOYK+Y7FgCCGhHsh9+c538OCMCTJ09U+buAQORl7vnF8+f6P9eg3O9nZcnjR4/0nFpL3pZBeZRDPRAfjmfZ2UoANJ+I/o81o2rlyu8QDXctMlAv9VAfUy3u2lA4yTNh/HipXqWqrjZAprx6nz3Ter1Ei++0Bc99bz7qCM1HO2g7+RSHJ+DwIm96hmscXshJXnDlHG3hAMfHj95gzrQWv0PrCm2T/f44BIxofBxudpUhYAgYAg6BfInGoYMHZdDAgeoBjxd8nZRa0rxpMzl+7LgqUBwvly5ZokGKGjVoKK1btJQ5s2apwyiKD6UIUenRrZssX7pM5s2ZK+1at9EYAN26dJWtW7aqlWT2zFkamIj4AR3atpUN69ar0oYIoKhZJsi1XTt1liYNG+myvv59+r6zEgAFHko0uB5lvmzpUunUoaPWSwwC6iOqopcEOED4zCMaVavK3NmzZejgwdK4YUNp0qixDBsyVI4cPvzO9AwkYNfOnTKgf39p0qiRNGrQQP07Mo4fl9yc3LyiISJrVq8WnPyIudCgXn3p2L6DtpcytO6HDwVSt3jhIm0fwaJaNm8uLLPMefZMbty4IdOnTpP2bdpKw/oNFA8cEPfu3atkI68y+xIIAkY0AoHRCjEEDIEkRiBfonH2zBlZlZ4udWvX1iBC6StWyo4dO9QRlDfyyRMnSb06dWXGtGmyZfNmmTN7tirzQQMGCGv9sYiw7K9i+Qrq4zEqbYRs3LBBHS2JavhbufIaPXH40KEa4XD9unXStXNnzbtv7948y8G1a9dkxPA0VfqbNm5Sx9T6depI44aN5PLly0poQokGJALlPW7MGKlSsZJMmzJFNm3cqCSDJXwD+qfq/+GsGo5o/PTDD9ruaVOmyratW7XeDm3baRszMjJUsWN12Lpli9SvW1cGDxio0RUhE53ad1AScPTI0TzLyZPHj1UOoi8S0XH9uvXSt3cfKV+mrOzYvl2HIVEZmf4hUFOfXr2VuFH36czT8vTJExk9cpTUSUlRLKh3dfoqGTdmrOz+/XfFIYnHclyabkQjLrBaoYaAIZBECORLNLBKoOS7dOykgYFu3riRN9Wxb+8+tXDgy3Dn9u28aQMUeskSP8nePXt0igK/DiIc8gZ/+vRpPYepf8f2HfLZfz4RfD84z0oPFOnOHTtU0c6eOVOnDSAM5M+6l5U3pQARWL5smZQuWUrJA4QmlGhwjrf8X0v9IlMmT9ZpGSwKTEOMGTVavvr8Cw16hNUlNDmiQaCmKZMmS9a9e1o+MkIIfitXTqdWmNbAMtKlUyeNBEn8AepwFg7kg4whP4QGme7dvasWE86Rl2WKJb7/QQmE/PGHkjiIGdEolyxerNNFTMswvcLUEbEasOxg2aAMrBwQGL5HstCEts9+R4+Al2hwP9CP4Q6CXNE3hbK89f79sDKFkzPcOe4BxnL/vv2kpsXRiH5wWE5DwBCICoF8iQYPJRQaiq13z15y+9ZtfYtHkc6aMVMqlC0n8+fNkyNHjsiJEyeEt/wZ06ZL8S+/kqWLl6gihWiU+7WMjEwbkRdfgA2oTmRkKAEZNWKkKmYeds9zc/V8w/r1ZfTIkRrxEBl4wKOUsZIQzIiVIEyHQGiWLVmi5CWUaEAKsGYQphlLxrFjx7RsZJw5Y4YU++RTbQN1hiZHNJB7185dqsxR4hzEESGsNDEM3kRxPCplS/+qFpKDBw7m4bBxw0a1pPTq0VP9WriWNiIXVguWzZ48eVLYS6NkiRIyKHWAKgvKrPxbRalRtapA7LjGe+3QQYMVT6wiYEtfQGDIA1aWgkUAKx1jBdKK9QqsX4Y58F+qV7uODOxfgHE0GjfRacl7d++FlSmcnOHOce8w5lm6jkO1BewKdgxZaYZAsiOQL9EAHHaiZDoDMz5KEMVHJEKWun79xZdSqcJvUrd2HYEccFStVFnfxpctWZpHNMjD9ANkwSWU5K+/vLE28PB2hOJ0ZqY0btBAY2IwPQPJYB8JYne0btlSGtarr1M55cuWlR+/+14WL1qkb/OhRAMFDDn6stjn6iDK26bKWK++VKlUWX7+8UedxuC60OSIBs6ghHr25kGm3j16qtUF0sGUEZaPX34uKbVTauXhwNJYLDmEdcbiQxvvZ90X9s7o2K69TskgT62aNeU///yX+neAARgz1dOqeQt9+DvywCdlYAEZMmiQ1l+7ZooMHzZMCR4yQjYsBYsA/jyf/vs/MmTwYPUTWjBvvrx3zJ8vo0aMkFI//ayRQf3sgEo/fzBgF/fE+fN6n1SrUkWmT536vkzh5Ixwbv7ceTJrxgypW6uW1DCiEewAstIMAUNAPo5o3L+vRANFvHb1asHpEeLAcerESTl54oROVfAGyDmIBn4crBRxifNlSpeWqVOmKJngAQup8BINHDlR7MTHYDoBsoLTJRaNtWvWqEUjf6LRU6dX9u/bp9YMr4x8x8kU4hSaQokGUxcuIQ/7S+B4eu3qNdm8abMSClapIFdeHSdPysmME3Lj+nW11DjT9E8//KhEgevADcfSUj/9pBYRMHBEA6dVpko455LDiKkSrh03dpxUKFdeLSL4t3gJkbvGPv0hwLTbP//2dz0gHEz3hTv+8T9/k//zv/639OvdJ89y9zE108cfIhrcJ0zV4JxNnf/+xz/DyhROznDnaBdl0AbuabNofEzP2TWGgCEQCYGPIhooTVaB4MzJ1tK8wam/QE6OTg0wPcDDEMWHSflPovEsT45QosEf7xKNYUoEdu3YqZaTWTNnquLNfvpUg4WtXbNWfRsiEQ1kmDRhovzw7Xe6ekP9GJ7lqJz8h7zUF84K4IgGVgocMcmLAuC4cvmyNG/aVFfJQAqOHz+uOIxMS1OSkPO2Dj6pR03tL1/K5UuXVV72psBKhHUHHK9dvaqregb066/l5xGNVq3V94I6XeI78mL+RibkZEoIczf7Xtj23g6p4D5nz3pj0Zg6eYo6/W7fuk3CHVgFypcpI6l9+xYI0cDKx+omNlZbu3pNWJnCyRnu3LYtW9VBGz8qCLQRjeDGj5VkCBgCEp1Fo1vnLu9MnUAg2M2yXp06Oq976dIldVZEqaI879y+I89zn6uSxUKBzwG+GyhelzIzM9W3wVk0OP8n0WioUyco3W1bt8k3X30tCxcs0DlyrCRXrlwRZAqdOkHhVn0bsAsZWZ4LGerRtZvugsm11IGMt27eVPmcPN5PFDhTNV8WKyasiMEqQdsgB6zyYJXI/Llz1T8C0sBUCmZnHGBpI3VABLCYMIXz6uUr3QQLp0+cBTlPeRCDBfPn69ukl2hUrVRJ2C78yeMn71g0sL7gnEsMDdrHwfQNeVlejGOqpWARwBkUHw1WQbnxQ/+GHoznQvPRuHfvPXlC5cvvN+MI6xlLxs1HI9jxY6UZAoZAFEQD5dW9a1eN/YDi540ahYcyxiGTh2u3Ll10dQZvfbzZ4/h5/do1Vaa8HUE0Zk5/l2hAQMqVKSPTpk7VhySdwcOQFSgsWx2RlqYxMHBGxURMCPTxY8fJxAkTVLETm4PplCWLFuc5g/KQxPSLkkdGiAE+ESwXxc8E8sCqmLShw5Q44TPhtRi4AcFDd9LEiXpd29athVgWyDlq5Ej1rWD7bubIkRflw9RMy2bN1a9i7OgxGudi7JgxMiA1Vf8DM/DCrF6pQgUZMmiwgNWgAQOFeCI41fIdWSAh+LngcMoqHCcfn7Rr+JChOvXCahZIGjE5qlWurHE3vD4wri326Q8Bt+qEPsaSRF/SF6HHmdOFs+qkR/fuOr0YKk8sv7lXIN+26sTfWLGrDQFDIDwCH5w6wfETawKkAmXJg5bEgwwfit937lKliTJGWaJg161dqw6jKGKsAawgYVkob04u8SY+bOhQnZrgQUfik/z4YuCDgTXAKXJIBrEvIDEE/zp18qSShv179ymhoS7iSbB01dWDrJCJPbv3aJnEuWB1B3mwTDzLfpanyJ1cfGKVwIcCawPbgzM9M3jgID1YZXPq5Kk86ww4ICf+GZCaoYOHKA7Dhw5T3IjzQR5kYqUJhAvrBYG/Fsybp1MfrGxIX7lSRXiky29HCQrOawGiDLDAwgMWYM3B8mICnznHWW877Lt/BBzRiGqbeNu91T/gVoIhYAgUOQQ+SDScZQAl597mHAr8hwLlTRorAAdvRt68TBGgMN05dy3EgPycdwllynne3LmG8qlT63iareHJUequPPLxn8r1+rXWjQ8H5bhEGS48uMr46F0ZXT7vJ8tvKduVT33Uy/V8d2+27hrqp534Zbh8Tk7aQ3Jt82Ll2gFm1EUiP+f5jeze5LAgv7bl8WPJfpr9Jwaednuvs+8fj4ARjY/Hzq40BAwBQwAEPkg0UJAoOFXmYRSZ+x+liJLkk3McJPd/6PWcJy/nvSlcfnfOle+Vh/84SO68tzy+u+vfkfH1n2QkUn5XNuVybTh5vde6fF45nWyhcrx664jqZONabx5+e6919XDOyUI9kfK5/PbpDwEjGv7ws6sNAUPAEPgg0TCIDIFkRsCIRjL3vrXdEDAEgkDAiEYQKFoZRRYBIxpFtmutYYaAIVBACBjRKCCgrZq/JgJGNP6a/WZSGwKGQOIgYEQjcfrCJElABIxoJGCnmEiGgCHwl0LAiMZfqrtM2IJGICaiUaeu7nXCsm9WQ+GsG+vB6iU2Dvz26+LSu2dPXVIeWgYrtc6dPavRYIk0yxJ0PwmHYlZDpfbrJym2e6sfKO1aQ8AQCIOAEY0woNgpQ8AhED3ReBOwq1P7Dho199SpU7pvD4HpYjkIzb91yxb56vMvhGBxR48cee96dv1lMz821QuSaFjALtfr9mkIGAJBImBEI0g0rawih8DyZct0Y74TxzPeW4rtbSxh+NkIj/1xiFBbJyVF6tSqFfuRUkuqVKyoYc8JWZ9Svfp7ZdROSdGotfyfNmy4xlTxyhLrdywaxG0hGB77nRBYzpIhYAgYAkEhYEQjKCStnCKJwNmzZ2Xh/AUaBTdcXBPX6IcPHsq6NWtlzKhRqvxHDB8uH3ukDRume+wQKp/v4crh/PixY+XA/gOS+zbYm5Ml1k/axVQPewOxGzObJFoyBAwBQyAoBIxoBIWklVMkEcBngkisBEnLL/E/UVrxl7iflaUh4QkL/1FHVpYSGy0nUllZWXm7JmOR8JsoQ6P4Zmd/sK1+67LrDQFDILkQMKKRXP1trf0IBPKzZHiLI19hHF4Z7LshYAgYAomGgBGNROsRk8cQMAQMAUPAEChCCBjRKEKdaU0xBAwBQ8AQMAQSDQEjGonWIyaPIWAIGAKGgCFQhBAwolGEOtOaYggYAoaAIWAIJBoCRjQSrUdMHkPAEDAEDAFDoAghYESjCHWmNcUQMAQMAUPAEEg0BIxoJFqPmDyGgCFgCBgChkARQsCIRhHqTGuKIWAIGAKGgCGQaAgY0Ui0HjF5DAFDwBAwBAyBIoSAEY0i1JnWFEPAEDAEDAFDINEQMKKRaD1i8hgChoAhYAgYAkUIASMaRagzrSmGgCFgCBgChkCiIWBEI9F6xOQxBAwBQ8AQMASKEAJGNIpQZ1pTDAFDwBAwBAyBREPAiEai9YjJYwgYAoaAIWAIFCEEjGgUoc60phgChoAhYAgYAomGgBGNROsRk8cQMAQMAUPAEChCCBjRKEKdaU0xBAwBQ8AQMAQSDQEjGonWIyaPIWAIGAKGgCFQhBAwolGEOtOaYggYAoaAIWAIJBoCRjQSrUdMHkPAEDAEDAFDoKLYvLwAACAASURBVAghYESjCHWmNcUQMAQMAUPAEEg0BIxoJFqPmDyGgCFgCBgChkARQsCIRhHqzERrysuXL+X27dvyxx9/BCJadna2PH78WF6/fu27vFevXsmdO3fk9atXvsuigJycHHn06JFQrt9E+x4+fCi5ObmBYPf8+XMt78WLF35FU3mePXsWWD8wRrStubm+ZaMAyrt3715g/fDo4SPJefYsENm4D7gfXr186bs8xgj3AvdEEPcXZdy7e1cYK34TZTFGnj59Gkg/UN6jhw+1vCBk4z548viJvHj+wjd2rq2M4SCS61eeJ5TtJ3E9baVf/ZblRw6uNaLhF0G7PiwCDOzsp9kyeOCgQIgBlRzYv1927dqlN0/YSqM8iWy5OTkyZtRofXgFcROePn1atm/brg/+KMWImI2HQ/qKlXL2zNlAsLt+7ZpsWL9e7t69G7HOaP+ASB09clQ2b9rkux+oEwWyaeNGuXz5crQiRMxHPz64/0BmTJ8uuQEQF5Tulk2b5eSJExHrjOUPlAj3QxBK5OWLF7L799/lyOHDgYwRZJs+darcunnLt1JijGSeOiV7du8O5P5CtnVr1sqhg4d8y0ZZtHHblq1K+vjtJ3H96czTsnrVKt+yMX4ZG1u3bJXz58/7JmnIBgGaNGGib9n8YMS1RjT8ImjXh0XgDwb5gweSUr267xvGVbB2zRpZuniJbyXCDc3bVsvmLfRGDIJoHDxwQBYvXKiK08n7MZ/uYTNh7DihTN7Q/aYzZ86oErl65YrfopRcbN2yRWbPmuW7HxAG8jNn9mw5deqUb9mcEunds2cghI+38tmzZsvvu3b5lo0C6MuU6jXkyZMnvh/8EKkVy5fLlk2bArm/IAe9evSQixcu+pYNorxv715JX7FC7y+/yhzZJk+cJBvWrfctG2XRxvlz58mlixd9Y0d5tBX5/LbTPZcWLlggR48e9U3ksdbeuX1bOrRt51s2vzeAEQ2/CNr1YRHgpsu6d0+qV6kSiLKkEt4aFs6fr2bZsJVGeRLZmOZo3qSpPHjwIJCbcP++ffrwenD/fpRShM/GwwZz+NjRo9WCw0Pbb8rMzJTJEyf6thogG2/5WDNmTJ+h/cA5P4mpBCwQJ3xaDZCDfr1x/Yb06NotEGUOGZ0+bZrs3LHDTxPzrqUvq1epKg8fPPStMJnOWbp4sWzasFHvL7/9AAnq3rWrnDt7zvf9wBjB2rJi2TK5f/++7/KQbcK48cKLhl9lTlnnz52XubNnq9WA334S1/++63eZOH68b9loGyR0/rx5cujQId/TWEzR3bhxQ9q2au2bUPnBiGuNaPhFMAmv56HmHuzcHOEOmD5zg9UqV1ZmHi5PrOdWp6fLgnnzVRHHeq03P7Jhsm/WuIk+CPnt/f9jvvNWM2/OXLmfleW7LBQc0zqQFx7aHyOP9xqsBZMmTtQ3OO/5j/nOmzRTHdOnTffdD9R/69YtmTFtmmRkZPhu56uXr+T6teuqMJ0vz8e00V3DQ3/61GmyY/t237JRJn0J8Ybc+h1zkNElixbJxvUbArm/IEHdunbV6Tq/sjFGsAItX7pUsrKylAg5TD/mE9nGjx0na1av8Y0bZUGm5syaJefOnZMXPu8vyoNoQIT84sb1jNt5c+fKwYMH1WL4MXi5a5Dt+vXr0qZlq6j7IF7qzIhGvJAtouUyiDF379m9R28wbrJwx64dO2X9unXyy88l9Y0wXJ5Yz6UNGy6p/frL1s1bwtYZbXm7du5SZVm1UmX95He010bKx/w2suELESlPNOeRhfZ17tBR36Z3bNvuqzzqhJx169JFli1d5rOsXbJ92zYZO3qM9O7ZS+eSUSjRtCtSnjWrVgtTHfPmzvNVDuUz5rB6NaxXX60ufvsV/wymEyaOn+BbNuTbuX2H3g8b1m8Qv7Ixjz9owEC1fO3csVN+9zmGsdo0rFdPlixe7Fs2fJWmTJoswwYP0ekO+iVS/0dzfsf2HdKlUycZMTxNdu30X9biRYukX58+smTRYqHsaGSIlIc+nTp5inTt3MU3bowJxlxqv34yc/p09fmKVG805+nT1atWS83qNaLCDStUvJIRjXghW0TLxVTIg6RC2XJSumSpiAcEo8T3P8jf/vv/yS8lS0bMl18Zof8V//Ir+fzTz6RkiZ98lYdsP/9YQv75t79rWfwOrSvW398V/0a++KyYlhvrtd78v5QspTIV++QTocxSP/3sW7Yfvv1OPvvPJ/Ljd9/7KgvZkOfbr7+WLz570w+c88of6/effvhRPv/0U0HGWK8NzU8/Ut5//vkvKVmihPiVjTECbt9+Xdy3bMiKfP/zX/+t94XfMcc98GWxYvLNV19puaFYxPqbe/Tf//in9oNf2d6MkeLy9Rdf6v0QRHn0A+X5LuvnknoffFnsc22r3/sLeRgfxT751PcYoaw3/fq5fFe8uO97v9Tbtv7r7/+Q0lE8g38t9UvctJYRjbhBWzQLxsHoyuXLsmzJUlm0YGHEY+H8BWoS//6bb2XB/PkR8+VXRuh/3bt2U8emubPn+CoP2XBmLFu6tMyaMUP4HVpXrL9ZTdCxXXuZOX2Gr7KQhfnjJo0aydDBg9XvI1ZZQvOPGjFSWjRtJhPGjfMlG+Vi1u3bu4+aY/32A+XxNti2VSsZmTbCt2xgR3n4QeBgujCf8RmKUbjfc2bNltYtWqqlKtz/sZ7DssT9wBjxO+bmzpkjnTt2lD69eqnFKlZZQvMjT7XKVWT8mLG+ZcPRcmDqAOnWuYvMmDbdd3kL5s3Tac6e3bsHUNZ8GTd6jLRr3UY/58/z92yiTwcPHCjNmjQVnDhDcY3lN33AmMN5c9iQob7vfWSbMnmy/FauXFRy4cwer2REI17IFtFy8c1gaR3LsJgnjnQ8ffJUbly/LpUqVMhb7x8pb7Tnly5ZonOr97PuR6w3mrLwgSCGRqP69eXmzZu6AiWa6/LLgwl21syZcvPGTV+ysSSYeW2miTAT47SaX73R/Hf0yBEZN2aMLsOLJn/EPE+z1bdlzerV6lyKox/yRsyfz/hw10Bap0yaJIcOHvRVDuUx5lhRwLQT/kF+ZSMeB6sJ8Elx8vr5pC8rVfhNbt+65XvM4XSMQmeqSONp+OwHyujUoYOcPHHSt2wsqWT5KIoXZ0T6xQ9uyAZZXrFseSBlncg4IdOmTNW2Pn70JhbJx8qHbNu2bpPRI0fJ0ydPfLWT59LdO3d12oSlwfiRfaxcXEeskEuXLulLRrSyxUttGdGIF7JFuFznCIrzUqSDKZa7d+5I1cqV1QkuUr5Yzq9ama4e2dyQsVwXmhfZeBg2bdw4z1ktNE+sv/fu2SPz5szR8mK9NjQ/TohjRo7SZXM41oX+H+vvkydPyqQJE+Ti2+V8sV7vzQ/B3LhhgzpJ+u0Hyr1186b6ohw/ftx3O1++eKnOoN26dM0LnuaVPdbvKJFpU6fqVGGs14bLT19iNYCgMQbD5Yn2HIpk8cJF6gOBk2m010XKRxn48Zw9c8a3bIwR/A2W4Qx6757v8pBNnUFXrQ6kLOLTzJ45S86dPev72YRstBX5/PYp10NGsVaxtB0cI/VXNOdxdCWGTpuWLdVhOJpr4qW2jGjEC9kkLxenUVZg1KhWTW+WIOBYu3q1LFq4UG9AP+VBlFAiTCewAoDffhPBxFh6S+wQPwlZiN8wbszYwOJoEExs6uTJciWgOBpbNm+WWTNm+u4HcMKyhCUIMuQ3MeawKPXs3kPfyv32K8p85owZalnyKxvXo0hqVquuysSvbCghpi83bwwmjgayMTXB0k+/srHagTfylcuXB7J8HNkIOrV+7Tpd/eOnL1C2F85f0BViFy9c0D7xWx6O8cjH+POTwB3yzlTz4cOHfcfRoK0Q+fZt2viWzU+7uNaIhl8E7fqwCLiAXV06dgyMaOBFzUoW3gz9JHdDs0oEwuH3wYosGcePy5o1a7Q8v7KhRJhfPXE8w/eDEFkITMRqgps3bvgRTa9Fiezds1fSV6703Q8UyDTRiuUr5Py5c75lcyuiWBoMSfCbIHwrV6yQw4cO+y1Kr0dhdurQMZAYH9wDTOns3b0nkPsLpYT5n6Bufu8HxggBp7Zs3iJMTfhVwMjGCpGdO3f6lo2yrl65Kkz/Xbt2zTd2lMfUJC9AftsJ7oxb4oWcOnlSp6j9DDz86VghiK+XX9n8yMG1RjT8ImjXh0WAm4aHIW/RQQ3yx48e5Zliw1Ya5Ulkw+TJg4aHfxCJOVBuah6yfhMyMe3EQycI7HKe5ajlwC9Bo13Iw9SOi4/gt630A1YNlLrfRL+CP34BgfXD3bs69+5XNq4HOxT581z/+4kwRuiDoIgysmFmpx/A0U+iLORiehI5gygPnxvK81sWL0BsP4CPC4QeWf0k5KGtjGG/siEH8jC1RplByEYb8ZULQjY/OBnR8IOeXRsRAQY2NwpHUIOccoIuK6gyXTlByOcty32PCHQUf7gygpQtqH71K1u4NnnLdN+jgOm9LO7acHW8lzmfE97rXZlkd9/dZz5FvPeXu4ZPP8l7vSszXHnefOH+Dz2XX1mhecP+DmlXaHnud6xyubrc9e53rJ/eekPLcr+9eWIp310fyzXkddd563XnXFnutzeP+y+en0Y04olukpaNEiL8LW/kvOnz1sq5REvIxJsvrB8TqN+bz+/1Dh/k4k2Q+VowTAT8aBtyYRVxqwiQsbCSk4e+C2e9QFZwAz/e0oPo31jainzUiQyh/edk57zr4yDe/GORT8fY27HP90jJ4Ui/55cv0vWxngcbsKC+SJggB32e/fSp4sd3riuIRN3IpdaQV3/iRv0c9DnjjX7VPAG+aEVqn6uX+ly9yOGSkw25kY17oiAxQw4jGq437DMQBBjUmDlXp6+S3j16Sod27TQ875nTpwv8YZ9fg5CTm43IlKxZZ7fEgniQfkgmHhCY11l/36NbN+nSqbPuXIlSKsz0PDdXjh09qssMiRfSs1t3jYLKdFZB4ka/UR94EPadKIqEa3aJ/8GQ0OazZ85U/Pr16asOnSgv/o93Qj7GFo6VxAdZt3btO/4s+t/58xrDpWvnztK5YydZsniJTr15FUQ85KT9KBz2mCGaLXEbmJIIl2jHk8ePZfjQYRodFSUWz0TbmVYi2ix+BYcPHdK+dHUiO9ixZBOHSaKFcn+wNUFB4cZ0FStWWB7Ld5fAiukOIucSddTFwmDHWcZdPBP9QvTVwQMGSsf27WXo4CG6VwqkArm0H5880SioxMAhD/3OVG+8cXPtNqLhkLBP3wjwIODmGz1ypIaBZskXKwqaNmqsKzwyT2UK+1EkQuJheyIjQ6P51a6ZonEcOFeYiYcoD1fwIow2MRyIlUBoYB4ahZlYble3Vi11ZmTFyfChQ6VG1WoyfcpUVUYFJRsPTcYYMlSpVEnKlv5VSa2rn/+Z4x7QP1Xq1a6jJJeYJGV++UWWL10W9wcr9wB9tX37dqlXp66UK1NWVxDh1+ISyyoJBAZhQ2GxTwbh8Pv37SvE7ohnYskj4759m7ZSvkxZgegQSyY00Q4U5ORJkzRCJRsQ8gIRz4Tio18rlq+geOD47SXYjly2at5cN0QkzDlBrtiLhnsnnonyM0+dko7tO8hv5cpL29at5erVq3lVYiUgzk/N6tVl0IAB2o4uHTvpcmYiKccrQRQIOsgzbNiQIRoMDvLFLsGEKQczxiPO27Vr1lQywt5CDerW1eXMEM6CSEY0CgLlJKnDPZzwmMaCwS6VLB89eOCgRvbDMxtHrMJOKCM8z1s2a65v5s2bNg1sp1Q/bSN4FW9pPDB4a+NNk7cVMCuoN49w8lM3S3ebNGyoq2uQi6BTKEl2hrx8+XK4y+JyDlnYPXZA//5KwFg+zXbkLhFLA2LGg3bb1q1KOlhmzfJDHsY8WOn/eCXuAVb5QCKITorFZdTIkYLlx6U398QB3fCKuAn8ZnM0YmywkV48E3WxjBU82LOGN2823gpNkIxdu3ZJvdq1dTzS92w5Hq8EbuvWrJXuXbrKqvR0adakia4M8VoDcPLt3qWLynPh/Hl9vuj98TbWTLxko1z6aUC//hpdl3Hfolmzd8Y9JKlHt+6SNmyYEjfuEZ4xLKFnFRTti0eiXJaGc/C8pV6W7WJJxhIFPox5iO2YUaPk9q3bmud0ZqbeIyuWL4+bbN72GtHwomHffSPAwOdBjkLgO1YClCbsHibNwC/MhExEzMOk3al9B30batWiRUIQDQJh8RbOVAAPLg7moZG5MBN9iTWgScNGSjTwv+HBS3hjMLzmebOLt5yMJ97AeWBiuSAuhZdooJg05Hqz5iojY5FItgSi4k2UJdLxtFzRV5jQefAzfZM2fLiMHDFSZXHYkAdMHeHhk7fliuXLa3Awly/oT+rl7RaLBuSLqSUsG+x4G5qwPhLinJcDRzLj+faLbBAegsox5dSqRct3iAb/M1VGfxMxF6uW3h/Z2QVyf+D/wAsURG3p4iXCy8nlS38SbGRhymTY0KE6LulfVrWxQzQ7ACN/vJL3eUs9rDJDFjYrJLromTNnpErFSrocmv85sLDxUgNhj+f94NpsRMMhYZ+BIeAGMwViuiNqZvOmzYRAT943lMAqjKGgHDUjpusUwPFjx3Sqok2rVoVONLjZefA3bdRITe39+/bTwFOjRoyQI4cPFypu9CcWqu5du6rfCOv8x48dKz26dssLzx1DF/jKiiw8xDmI0YDlIpRo8DZH0C7ykB9smZLAooHvS7zHIPUy7qkTQhuOaLh7hE/kWbRggTSs30C3MPcF0AcuRjamATD1s6eOEg2PRQOlhRIfM3q0vp2zNJLt3hmX8SQaiE0/QYSwCLVu+SfRcH1I37GPDdaY1P791TKDBQHiFO+pE4cbhAPSrUTDY8lDbsKu4//AVB1xOlL79lVlj/UgnsmNJYfhuTNnpU2r1hqUDEJx4MABqfxbRX3WOTnof/eyBTGmjHgmIxrxRDfJy+bm5K2TzZWGDBykbyA8TAojcSPxEMWhEXPxpk2bVDaC7XBTYrJm/rowErLxoMLE+v0336gyx3y8fNlyVeaY4XFWLczEm9zyZcukYoUKUr1KFd35kv1TsC68eB7f+fFI7cY6VqtGzXeIBooACxVvau7hyThE/gZ16+l8NnninRhrxGrAuhJKNFzdyMf9wJisW7u2sH05D/14J+qF3MybM/c9osE4REn26tFDcGRkyof5fSUat27FWzTFg6m41i1b5Vk0nLxjx4zRnVKZ+mEspq9Ml07t20u71q3VEhJv4ZADQsOeK6FEg/OQMoKe4TeE/wvH2tVrIjrbBi0vY47nLUQMop2ZmakrX4jSWq1yZTlx4kRelRANNlls16aNXsO18UxGNOKJbhKXzU3Jw71f3766eRmKkgc+5wsjcSPxhokTI0weszZsX4lGy1ayb+8+ffgWhnzUidLkTahG1apy8sQJJR489HHCxImLKJCFIRt9BXasBMAiwJtuRkaGTJwwQc3YPNSYGy6MFIlo8Dbct3fvPLwc0ahft25godM/1F4w+xDRgGSgDKpUrKjjEpJREESccRSOaCDz6czTujMvq8YgGSxPX7l8hTRu2Ej9csgTz3FI+0OJBnVCDrFepFSvrtN33BsoywsXLqgSxREz3ol2RyIaPEtYyQGZJYop/i2s8KBv8SmKJ2a0G4zABLJap1YtvV/pY/Bkyompk2NHj+VBBHa8KLRr01af01wfz2REI57oJmnZDG5i7LNslAcUpk1ugsJM7obD1I7DGQoSr/XUvv2kQtly0q93H70heZDE+6EQigP18SBl4zNufKKpohw5mF9lBQpOW/F+GITKxW9kgzDiWDYwNVXnnVnyiHmdnUPr162nK3bCXRvvc+GIBg9XvP7ZBpzvyE/fE34d8zFv65yPd6KvIhENZGJqBUsGcoItkSWRk//inagDDLwWDc4x9tnWHV8RlDpOj1MmTlLH1tIlS+k9gw9FPMchGIQSDScvy3FxrsSKhgzcH0znQCDZkybeyWEUzqLBkvRGDRroRnfcL/gw4TyLYzeb1eETw/XxSGABSV2xbJk0adRIxzi/Oc9x6tQpXcWzc8fOvOq5d/DjwPLBszlesrkKjWg4JOwzEAQYsDwosBqwiyYkg4dqvAfyh4RHBvYjGTZ4iJKLgf1TdUUAc9Q//fCjvsWpD0lOTqHIygOBeABsXX/s2DF9QIAZ26fXTklRiwZ5CjrxMOfBjoUAawYPUeTiPKs7cM7bsX1HQYul9UUiGpj666TUUpKGnPQ9pIhlk1gQUGbxTvRVJKJBTBL8bnp26yaj0kYUKMmg3fRfOKLBOZaU9u/TV++NgakD9BOi+13xb2TwwEFv9uCII36RiAbnWUVUt1Zt9TUAX9qBpZTVOkylxDtRXySLBnv1IAf4MebIi5Vj5rTpuhQWR1f2HolH4p7EaZdnBxvPQRy8zwpCy7OclVAD7kUKZ2oslJMmTlRZ4yGXt0wjGl407LsvBBjcTEkQMAZzP97WW7ds0fXcmO+YEsBkVxgJ2bAaPHr4SO5n3dd5STzF9+3Zq57hPMR4MHhv0IKWk4cm/izEU4D0gB2+BiwhZdVEYSTw0Afm9BlqFiZQEgQDczBWIOIJnD17tjBE0xU5PCwhFi45RcUqJ7DbvGmzvuGxmgdLB+SkIPqYOpRojBz5zvJWzp/IOKFz/EzxsIKBOBC7f9+tTtOs0EJRxTM5ojF/7ty85a2co16UFNYq5vo5uEeIVVG/Tl19gYC0xRM/+u/K5SuCg7bX+kSdWA2I+9G7Zy8l3tyzLB9u1bxFgdwfeURj+Qpp2ayZsBzdJSy4OCGzkmPD+vXan+yu27hhQ11GzHOP64NMlPcs+5lOB2KVHTF8uOJC/Az8MvA7o16sK+ze3KZlK90kkJVXI4an6Qq3oDYM/FC7jGh8CCH7P2oEeFBhpsO8yZwgn0wFYDXAG3vc2LH6dhx1gXHKyA3qHhpMTaCAsHbwkCvMxEOB7aFHpKXpgxYlDmnjwYCyL4wETvQrcQtYaUIwIPoUk3/a0GE6F1xYsqEUWYIJIXMJhcT5A/v3Cyt3IGk4/44cMUKVUbyVuFcOHvBEkeTA14HE0mCWMZf7tYy+nfPwxyGvfdu20r5tO50iQ5nHM9GnauVJX6VWitDVJO7+cPfI1q1bpU+v3rqhYTzlomzuQeJlEHCNQFdeLLg/UJ4oVLCCjHDv7tu3r0CWzYMHcVq2QLL79JUb1//cDRnZUO5MgzHe2rZuI507dBQcWCHiXBt0okym3JgKxvG0ZfPmSvx53oIP9yrTN2BIbA2mnnAsZ8zh7MvuuozRgkhGNAoC5SSpg4c8Nxw+BmdOn9Gtv3HWYpDzpnbzxs0CmR+PFm6V9+lTvVl5M+B3YSaUIOZr3ijBi4NojCjOglKQ4drPA42HFW/omGGZp7986ZIqnsKUDaWESdr7sERW+hHrFQoUORmPvJ2DbTwe+JEwQz7qpQ8xWZOon6BKEFwihELg3D3CfULfF4SMYARu+d2TDkt8cnhjZ8on3sn1HQoUPwPvuOc74y3r3j21rrAMFgdv+tqbL54yIh9yQTJyc/7EI0+2rCy1yHCPEEfjwf0H75ClIGWjfxhX3JOMJ6ZvvGPpyqXLWjcyc/8y7rgXkI17AywL6uXKiEaQPZ/kZTHwueEY/ESzfOfIzc0b9IkCk5MXmbkZ+V3YCRm4+XkwcPA9UeQCI+3bt31Z2LI5rMIpGWT14kiegsaR+pwcf7x+M7Y4hyyQnnfuD+6Xt6sECmIM5sn24mW+BDsv38v88wUls6sv0j3J/95+Legx6OTDskHfepNXNvqSZd/k4Xy8EmVH+7wFU/dc4Zp4yhXaXiMaoYjYb98IMIAjHb4LT4YCQvBLpCaH9mthy5bfw9Ira6HKGUbPeGUL/V6QsuaHX0HKEWtdXsxivTaI/PnhVtCyeesL/R7aVu//of/F87cRjXiia2UbAoaAIWAIGAJJjoARjSQfANZ8Q8AQMAQMAUMgnggY0Ygnula2IWAIGAKGgCGQ5AgY0UjyAWDNNwQMAUPAEDAE4omAEY14omtlGwKGgCFgCBgCSY6AEY0kHwDWfEPAEDAEDAFDIJ4IGNGIJ7pWtiFQSAi4ZWyFVH3EapErEVK0ckSbLxHaZDIYAomKgBGNRO0Zk8sQ+EgECMyzdfMW3Y8kNKjQRxbp6zKUNQGMDh08pPt6BB2ynDayVb2LwJkfOeA/9txhH40PycH/v+/aJQcPHNDok/mVGwoQeQmO5CJcBtEPYHj16tWYZQmVLdxv5Lt965asWbVaI0cyhiwZAkEhYEQjKCStHEMgQRBAIbHRVPMmTTVqYGGLhdIl/DE7+rI3iXePiCBko71sec5uwZCN/JQ6/7H3SEr16nLj+nWtHvk4j3L1kgn23GBPCPavIJR4fuWGtoO8165e070l0lesUNIRmifW3+zqyzbgbNoVNBEgwiY7yrID6bq1axNi3MSKj+VPXASMaCRu35hkhkDMCKAo2fuB7bTZwr0g9qf4kJAo3ftZWbqbatNGjXUviA9dE8v/tHfJosW6ERe7jeanhJFl0oSJUrpkKd0vA7wIx4ySPXrk6DsKln0h2LiLbdPZUyMWooEMWB/69uota1evUYtOLG0KzYucp06e1I0Kd27foWG4Q/P4+Q0Ge/fskVI//awbu0HeLBkCQSFgRCMoJK0cQyABEEAhsVlSrRo19e2U7ygRPlHIkfaGQInyX16+MHshUPbrt/slPMvOlpy3ZYcqYPKhaNnLw5WHpYEdLxvVb6AbnYVCxTXIyXSDtzzOo/SQne8ukcft28D/EIG7d95sQOe9XvPl5qocbIJFG8ePHSc//1hC2JSL39euXlUSNHf2HN04DpmRnw3Z2BGzT69eugumtz2RcHTycT1b0jN1gjWEtrm28B25vP1Cfm/7XDl5n3/8oVM9bE1OudRPUsxy3+VqoAAAERBJREFUc7U8yqBPkN/VkXf92y/Uy7Xk4QA7xej5c9n9++/y0w8/yrKlSyX76VPFnDyuT0Ll4zd1Uobme1uWNx/fX79601dsuBhpzITKab+LFgJGNIpWf1prkhwBHuw89GvXfEM0eKvmDXjxokWycvkKOXjgoO6w64WJax48eCB7du+RpUuWyPKly/Tt9rFnC2ktNztbMk9lyqYNG2TxwoWaj62xUaT8T+ITxXM6M1NWr1olSxYt0m3RM44fl359+kQkGiisfXv3qu8EpMIllNzq1avVdwBF5ep58fy5bFi3XrfmJj/TCps3bdK2uTyUefnyZdmwHnkXyZpVq+Tc2XMydvRofXO/eOGi3Lx5UyZPnKTbtrdr3UanVZYuXqzEhd1zHdE4ceKEbNm8WduzcvlyOXz4sCp+V5eT132ivJku2rh+g5w+fVoVMuc2b9qs196+dVu2b9smSxYvVsWORQUCEak8yr1165akr1wp58+fzyNjx48dl107d+mOoocPHZLlS5dqH+7csVPb4C2P7xAfLBfUixVo/dp1ussofbZ71+/y848/yoJ589WfhroYNxs3bJTLly7nkRvXRsjMuXPnZN2atVoWUy7nz52Xl293qiUfpIadnOmrRQsYM0u13ew46pXNlWmfRRMBIxpFs1+tVUmKAA9viAYWjfJlysqQQYP1GDVihPTu2VMa1K0ns2fNkmfZzxQhlB9bRg8ZNEhat2gpw4YMkYGpA1TBThg3Th49fKhKjXyY7gcNGCB9e/eWkWlpOqWAhWLWjJny6OEjzYelY9OGjdKuTRvp2rmzjBieJkMHD5Y+vXpLg3r1pHGDhqq0QrsHQjFt6lSVGZJCOyAKbH/9a6lfpELZsoIidZYEFF+FsuVk/NixSpImTZggzZs0UWXMdZRH/h5du0n7Nm1VjuFDh8qgAQOF6RumCNhSGxLQu2cv+eHb76Re7Toq67gxY+TWzVty6eIbooFfBNgNHjhI/UywcLRo2kwWzJ//Hmlz7UJOtoAHn4XzFyj5QjHzu23r1jJuzFgZOniI0C+9evRUXCgvkoMqeBw4cEDbDIGjLNLE8RO0zCmTJsvA1FSVb0D//urLMWTwYMWGvnv18pVuIz54wECBUDEuwKNPz16yf98+tV7s3rVLvv26uPqVQArp47Rhw6Rt6zbSqX0HOXb0qGuekgmIUueOnRS/tGHDpXvXruobtG3LVu07+mDH9u3SqkVLzUNbGWddOnaSTRs3ah4jG3mQFukvRjSKdPda45INAUc0UqrXkH/+7e+q0E6ePCmY3DOOZ0iPbt2kbOnS+pZJXqwBvNGX+aW0WhNQjij6GdOn6znM6K9evlSlwBs1VoeMjAzhbZ/ymA6pXTNFzp45qyTg4oULqrC7dOok+/bt0xUMWEGmT50q33/zbWSikZsru3bulM8//UzfolGOKCqmMyAF5cuUkckTJwrTH/zHqhHybtywQfDLQCHWqlFDrl65onLgyNmzew9p2rixWiIuXrwo586e1Tf5cr/+qsTiwvkLanVghU7F8hVkzKjRcvbsWeFa3vCdRQO5J0+aJJmnTuW1GwJTpWIltYiEG2MQgVOnTkm1ypWVQOm0QU6O/FauvNY9ZfJkoV+YnjmRkaEKv05KLV0RE648+gp8vvnqa7VYIB8JYvjJv/6tbcXKQnn0H34oTA85pZ+VlaXEgr5CyWN5wKLDCpyse/fUlweiQVn492xcv17oSw4sOWVL/ypjR43Om5K5e+eO1E5JkR7dusvRI0fUyoJVplnjJor59WvX1dLVsV17adywoRw5ckRlw6LEKh4sbY40hmuvnStaCBjRKFr9aa1JcgQc0cARtNgnn6rShEyg+DDNb9u6Tb7+4ktZv369Wg3Onjmjvhwjhg/XFRsoRPIxpVCxQgUlESh8ysVSgILLeZajBIUlpRCRShV+0/l95t/XrlkjP373vaxcseLNvP3z5/qJNaRR/fpvp04uv9dLlA1h4I0a6wFk4sH9+/o2zZtyty5d1Ipw5/ZtlSO1f6p8WexzbR/5WBkCucKBk7Ye2H9A/Q2wtjx+/PiN3Dk5avGABFEPSpT2oCBrVq+u5IrpDqcAnY8GihfLB1YgsOAaVrlAQJhSAZvQpETj5EmpWslDNJ49U4sNpAbiQ79QHpijzEuW+ElXlISWxW/q2BmGaGCZ+Nff/67WBudPwSekiGmQUSNGqvVh/779SqamTZmqVg7aQN0czgKEj8ZXn38hWCfA1P1/88ZNtXZ17dxFICxcy5QK8jIthz8HbcD6xfQJxJBxwPQQxKNOrVpqPSIPfi5c7zAO11Y7V/QQMKJR9PrUWpTECDiigdJFoaEcnSJE+R06eFC+LFZMiQDn8RnAARDz/dw5c9QHASWCGR8rB9MWKAiUEQQEy8i+PXt1zn3+3Hm6/BOFgxkdsz/WEaY0UPSuXpQKyqpnt+5vical93rIyc2UBIodhc+bMmQHvxEIzW/lysm+PXsk+2m25mlYv74q60ePHr1DNFCQLAEt/uWX+glpoXw+UXJM50CGUPZggn8Hb+dMKdFGl/DvwEeDZbNYOWiHS8gEWTl6+IiW6867z3eIxpSpiiEEgOmshvXqaz1OLrDFUoRMq1amuyLe+UT+nTt2yDdfffWORYOpCOTAERanSxLlYTEoWaKEToMhC9Mt5Nu+bbu22fWNq4Q8EA1kwEeDKTCXcLTt3KGjTp/cuX1H8QcTrCtjR4954++xeLGOmbShw6TE9z/I/HnzlNCsXLFSrVFuCglriyNzrnz7LPoIGNEo+n1sLUwiBJzCdqtOmGpwCUWJ38IXnxXTJYzkJcYDFg6UX7fOXZQMQAiYGujcoYMMSh2gypw32YULFkiLZs31LbVju3bStVNnwdz/XfHisnXLVlUgo0eOUgvJ8ePHXbWqiFFW+a06ITMkgBgXEJXjx46p4sdkj/Pj6czTSnxmzpghZ06fVgI0dfJkfevGYpFn0bh8WeXFooJiRS5vQhl7V51EQzTwL2GqAAXu0rIlS+W74t/I0cOHoyYaWIJoW9PGTVRup+whHPv27lMlnx4j0cD/BXKABcJb3rVr13TqBH8b2rh82TL56vPP1R/D5XNt4dMRDawgOGxibXGJqRXin3Tq0FGtFBC7ls2ay+effirtWrd+Z8zgf8FyYEgRxArihpPpgP6pah2rX6eu+qWw4iecHK5O+yxaCBjRKFr9aa1JcgR4ePOAd6tOUN4uhSMamOxRVHNmzRJWAuAYysoEDnwyIAg4EmIix6KAT8Cxo8fUFwJlNm/uXCUA27ZuFVapTJ0yRf0QmId3CQVNuT27R7ZokJeVJFgXUMZYFwiW1bZVazXX45xJELJe3XtonVhaWMmCggwlGsQOwXej+JdfqUXDKTQ+wWBU2ghtM8ouGqJBLIzQ+BwfRTRy3iUaDh9HNHBI/RiiUeL779UfwlteKNHAogEeW7dsUcLkMHHXvEs0linpc/9BNLp4iAZ40w9YsrBcufHCtJYbM1jBwJq+5zsWF6aopk6eokQUSwxkJlQOV6d9Fi0EjGgUrf601iQ5Ajy4YyEaOHESDbJD23aqrFAMKL7QA2sGpnKWTbo5dubksSpgKodoPH3yRBU8xIWltJT1x9t4EaweqV+3bsSpE7oNxUQYbFZ5ENWUKZQZ06ZruZCYKZMmqQWF6ZUGdeuqTwnXvEM03vpoQHRwhsQJFYVGe5Dn3l2UZie1RripEwgLxAz/Bcpyys9NnfwViAYWDZdoayjRYGUJDrU4vDI+yEM73SfTTUydvLFovE80vBYNpq5WpaerUytTWvQB5XgPys473mL/4vkLjcbavUtXDSaHZYQ+sVT0ETCiUfT72FqYRAjwcI+FaDx5/FinK3ibThs+XKcpeHsnfDbK6cTxDFUgOPkxVTBp4kRVYvgsrE5PlxpVq+qb8rZt27ReVnLUr1NHmjVpom+7WDJYyUL4cQhIpOWtdBGKCkXPMsjP/vOJVKpQQeNkQGwgCyyV5BxOrsOGDs3zcwhHNJCPFTb4qmzeuEktKjiKzpk9R6OCIosL2MUyV4hN65YtdUUNVhzewt2qk78C0SCWiUvgGEo0CJiG4yirXiCB+MzgrHky44T2Nfiy6uSDROP2bZ32wYrBNAhTZ5DMmzduqNWHaa29u3erfwb9ggWF1UlYpBgLxPCAQHbq0EGePnmqfe7kts+ii4ARjaLbt9ayJEQAooHS4GHOfh68qbrE2yPma0zoBGMiLyZzLBP4RqCEWLKJ8mDVCiQCgoHiYlqF2AqE7q5RtZrUTqklTRo2Elar4A/CnDx1sQIBx9CmjRrpFEitmjW1PFaScD0K/crlK06kdz6Rxzly/s9//be0adlKlT1vzMgJicFH5P/93/9SZ1Tycg1OqDh4snQTBUt+MMBSwUqJMqVLS0qNN3LwZp7ar59UqVhRHVtpG34ES5cs1dUSrKBpWL+BruJg1QlTN8gN+SCvSyuWLVfiRGwJ73n3P/Li+Fi9SlVdzQL5Y8UF5WOR8fYL1x/Yt18tMExxhEu0kw3eWOmCFcFdTywMnD5xsHSJ8q5fvy6//FxS44YgC2SNPmTqC7+XGtWqab/R34RIRz6Cr3ENbfNOuRE+nlU/XTp1FpxBGUfgS9uxDuF0zKodxgS4sqrn1s2bKhMxR6jjzf8p2n6Wu9I3lPHH6/dX7Lh22GfRQcCIRtHpS2uJIaAI4Oswc/oMjd+AknEJBcGqEWJOsKID5cWBYkbZMt/OKgIUMcsiWaGAAkNxodhQXqwmGNCvv4wcMULzo9hZocKbLHVRB0qL2BAE08IJkP9RPMSBwKeDOf9IibpYdkodbodVznE8efxECVL/vv10VQXnSCyr3bRxk7YZp1Vk4D9kxirBEleCWBELg/gRtJNpEvLSfvJCJHAgxXcAuXn7xgGUaJZrVq8RLD+uPuokZsXI4WkqB2WEJmKP8JY/fcpUnZJAcSMPgcVY1QHmLlEu0zhYcnCCDZeogxgfWIYgiy76Jr4o9BUWGJfIy1QKgcfWrVmjcVCogzppM0tPCe6Foy++MKxQoe/OnzuncVeIeeEdNxA5osWuWL5cLU6UxUGbCN9O1NXBAwfquAHrzMxMrUvxv3hRiLSa2q+/9sGc2bM1migkgzIsJQcCRjSSo5+tlUmEAIoGxQN58D7MOY+y4T8e9C658xAErBsPHzxQgkE+FA7/Uw7fUTrEz2B+3f3Pm7pTHC4vv8lDeVyD0uEc352SdPWHfpKXkOjIw94qlOnKpU7+I49LtImykQOSRV4SnyhDTPgQJsgCv1m6qXJ4lL1rGzKTDxmpA78TroG8uHIpm7oo1+HjZHGf4MX1Dhuu56Be2uAti++UQ3nUFSnxn8Pc9SsYcZ2XuFAedZGXw+XlvLbp6VPFA0xoL+fIA4aUp789vhOUzVjif/JRDgffkcnhy7jhO/mcDJRFm6mLfuM7/yOfpeRBwIhG8vS1tdQQMAQMAUPAEChwBIxoFDjkVqEhYAgYAoaAIZA8CBjRSJ6+tpYaAoaAIWAIGAIFjoARjQKH3Co0BAwBQ8AQMASSBwEjGsnT19ZSQ8AQMAQMAUOgwBEwolHgkFuFhoAhYAgYAoZA8iBgRCN5+tpaaggYAoaAIWAIFDgCRjQKHHKr0BAwBAwBQ8AQSB4EjGgkT19bSw0BQ8AQMAQMgQJHwIhGgUNuFRoChoAhYAgYAsmDgBGN5Olra6khYAgYAoaAIVDgCBjRKHDIrUJDwBAwBAwBQyB5EDCikTx9bS01BAwBQ8AQMAQKHAEjGgUOuVVoCBgChoAhYAgkDwJGNJKnr62lhoAhYAgYAoZAgSPw/wFtxwNF0t0+rQAAAABJRU5ErkJggg==[/img][br][br]Write four statistical questions that could be answered using the box plots: two questions about the head length and two questions about the head width.
[size=150]Trade questions with your partner.[/size][size=150][br][/size][br]Decide if each question is a statistical question.
Use the box plots to answer each question.
Over a two-week period, Mai recorded the number of math homework problems she had each school day.
[size=200][size=150]2 15 20 0 5 25 1 0 10 12[br]Calculate the following. Show your reasoning.[/size][/size][br][br]The mean number of math homework problems.
The mean absolute deviation (MAD).
[size=150]Interpret the mean and MAD. What do they tell you about the number of homework problems Mai had over these two weeks?[/size]
Find or calculate the following values and show your reasoning.
The median, quartile, maximum, and minimum of the same data on Mai’s math homework problems.
Which pair of measures of center and variability—mean and MAD, or median and IQR—do you think summarize the distribution of Mai’s math homework assignments better? Explain your reasoning.
You may use the applet below to help if you choose to. Enter the values needed to calculate the IQR and the mean when prompted.
Jada wanted to know whether a dot plot, a histogram, or a box plot would best summarize the center, variability, and other aspects of her homework data.
2 15 20 0 5 25 1 0 10 12
Use the axis to make a dot plot to represent the data. Mark the position of the mean, which you calculated earlier, on the dot plot using a triangle (Δ). From the triangle, draw a horizontal line segment to the left and right sides to represent the MAD.
Use the five-number summary from the previous task and the grid to draw a box plot that represents Jada’s homework data.
Work with your group to draw three histograms to represent Jada’s homework data. The width of the bars in each histogram should represent a different number of homework problems, as specified. The width of one bar represents 10 problems.
The width of one bar represents 5 problems.
You can use the applet to make each type of graph if you choose to.
The width of one bar represents 2 problems.
Which of the five representations should Jada use to summarize her data? Should she use a dot plot, box plot, or one of the histograms? Explain your reasoning.
[size=150]Scientists studying the yellow perch, a species of fish, believe that the length of a fish is related to its age. This means that the longer the fish, the older it is. Adult yellow perch vary in size, but they are usually between 10 and 25 centimeters.[br][br]Scientists at the Great Lakes Water Institute caught, measured, and released yellow perch at several locations in Lake Michigan. The following summary is based on a sample of yellow perch from one of these locations.[/size][br][img]data:image/png;base64,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[/img]
Use the data to make a histogram that shows the lengths of the captured yellow perch. Each bar should contain the lengths shown in each row in the table.
How many fish were measured? How do you know?[br]
Use the histogram to answer the following questions.
How would you describe the shape of the distribution?
Estimate the median length for this sample. Describe how you made this estimate.[br]
Predict whether the mean length of this sample is greater than, less than, or nearly equal to the median length for this sample of fish? Explain your prediction.[br]
Would you use the mean or the median to describe a typical length of the fish being studied? Explain your reasoning.[br]
Based on your work so far:
Would you describe a typical age for the yellow perch in this sample as: “young,” “adult,” or “old”? Explain your reasoning.[br]
Some researchers are concerned about the survival of the yellow perch. Do you think the lengths (or the ages) of the fish in this sample are something to worry about? Explain your reasoning.[br]

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