IM 7.7.13 Lesson: Decomposing Bases for Area

Which of these solids are prisms? 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Sm/mfVvrVPgxMXEoo488siUPIYngNXll1+ewJacGHWldWyAKU8Atxei289J4E/eP7fVuGrPGMTzA1zCt5eBBgQVtx7LcvPNN09+8nEHbzTJ7pZFFlmkmGOOOYo555wzCd9TTjnlicSRUV9svcxto3MpMjwH++23X9p484gjjkgbcb7mNa9JyomCTa6eGM0pAHQuu+yy1Ci5tiYQoNtTicU0boqPdQCkeGDwx6mnnpoK8ilzAEpsitwkS0d1zYwdMGExghxh+VMV4eadcMcRnDwzLUdLIkHLfgw+ZXVOtdl64645AyauPIvrec97XrHAAgsk4WsH0R122CG1aJqGoD9BQlCq9TPHCq2f9axnFW9961uTIOLSsb2CGpj1118/CSFCalQFUD/4vdtroAlZcvTRRycXOGspW0cUPPRlTY1ijKnZO3sn72DO8QKlFEBR5ikwFDuuXt0lPve5z42sQj+WwESYE7SYBjCttdZaCZww2bgN74J5aDa9Wkz53TEnwcU9+JznPCfthOv64yyc0MbOoDKQFEJy5xLK3Hm6Qes1xlVhEY7ze+Y5bPYbKGlTc9RRRxUrrrhiAmXJQBmUfXfYYYelY1796lenOjfdCygrMWamgLVHGVS/pEceYZ4H4W5vJVaF48ZleAfPzQV54403phiT5tgyDhdffPHksuRJmX322VNC2ahag2MJTJlJMI30SG4rP4Bq3NxWhKhn1pKo03TxTIdGvy0s9JFKbqfgbbfdNqXEjquAAkxqTACS2q23ve1txTLLLJMKk++8887ioIMOSpbUgQcemDRBGu8kAZR3ERvgKVAEKo4o5pY3kMzvqlBU5wJzL+jNatprr71SinE+phG/TONn1ojiVYrNVVdd9YS1hBasJAlEmiU7btSGufSMvC2SNzyrzuh20N1+++2Twm7da2lEUfF+1olaR80KnvKUpyQralStwbEGJsxiAQKk5z//+amORz0CE3ZctBwM5nmZ1ZisnwMNAJGMPzE5jV8///nPJ+26n/ep4lq1wGTbD9lTu+66awr0E8D+50sXxNZDMMfsarXgKp5zEPfgHVC7Yh5ZiTRgrju9FeuFJm0ZgANm/HTFFVckTfm9731vsqIH8Xzjek3WQs5i0+GhVmaguS0qWODDFt6ey/OQdZ7nW9/6VurhJ02cFwEQ2UJD0ot1LsNQNp4sXSUWeMI7ZMXE+bPNNlsAE5OSRYNQg9DYTRpBZFIsWlqQ++SJGOWFg+kImOOPPz61QhnEs6KFmoxVV101JUSgz6ia8M3evxaYaLHeSWxR9pmgv0QAi8974jWfn3/++Umg1wvvZvcYtc+zVkwj5rpbbLHFktvJezfjbcKrdksUGXsC3rn+r9l5o/buVTwPpYVbS5II4K+lDWAH5hTdKpUbz0Am4Fn87N7mVH2V+jTWz5Zbbpn4e+65506uWhYxNzbvkflut7YDmGZw16CByUSyOlhOXD0C5Pzq/O6jPjCiRSBgzVUziIE+mFvMSUIExkaf2oU4iPv285r1wOSdgNPJJ5+c3FX6BlrI5lz9yaGHHpqSAixa1qiFPk7v61nxdC6P0BOR647g8d7Nhg7V+qhll7a4K9enmpZjjjkm8QHaTfvAKzLuKDAyO63B2oFfuEXFaqvim8zT5tj6BESHHHJIAp/lllvuiQYD+++//xOp34899liKTXtO/AKU2j1vANOMmR40MGWGItgtQhozLZGFNurghIk8d79jTJkm+beFRljJNJIwwt1FGxyXhJF6YPJeaMeaELw25wL/NExChtCxU6h3BcR4kKAhkEZ9AB6uSRaf+IeaNG48Mch2z+8duXgIKSPPuxRyShutukoLYFRpTS5QZiQHyWCsF+bozDL9whe+MIu7tB/vZF6sPW42ipTY4cUXX5ysf8oUC9fcc9MplvadtSumyLojM1yj/rnLPFsA0wwqVQVMbkdzkBrJMgBOslP42rl6RvHHs/EbYzjCaJDPKB1W2yMgKIuNoLIoxgGcGgGT+SZkb7rppiRgzjnnnKQ9Wqy0T8JZbYoFvtJKKyWLg0WRhXaZRVzlMZ6b8qCCX6NOXTy4mfxfVgjhHwK3HnxY5JQRAm9cAHqQtAfyrG3uf67t+kG5YbUQ4vW0rD+21f+ZF12P18J9WTnmg6uQi1bcUDLLyiuvnPhUz0txQrKL4uU889+vEcA0g5JVApNb0nZkJhG8FreW8WpgBApH7cdzCdrTjFTvV/F8XD0SIaSMWhSNFma/FkG/rtMMmFyf6+Pwww9PrjvvUruIARQwIgCky8poE4MZNXcWAcYNQytm/ck4lGXVafo70NHxod7dZ03IzKKQvPGNb+x7ok2/5rmq6yg8lrGmrxyFsH6IW8t0kxTRzkqtP7f2f7zIupHSTyHkYpao8IxnPCPV4qnFlNZ/6aWXJiWKYo0P8KcffNHvEcA0g6JVA1PWPC1QwCTory2HGphR+8nZNGIImLSK55MgokiVf11AnZtg1EcrYCJEtGHRQ5GlAYhqh+8JeJYE64l2qtpf0skoAJTn456hmHg2WVUsPRZup0KRRSyVvt6FbU2o2eEmwmcyG9sFyWtpOEl/owUXHZAGFoCjfqCNrDwAVpZHnMO6wX/cgK69yy67pJi3WksyiDUkgYEC4hmABN5k6bLky96r/nk7+T+AaQa1qgamPEmKSi10GonECItx1H5o+OJiYgD63FX1fGijdRErggts1EcrYPLsBAJLgNBVdMtiqNU2/e0YfEBLxhcsVRoxgVB7bFW0cE9CEQipv6IsiCdI1uD66eaZgO0111wzi8XknbwnzV0ixLHHHpvAsKp3HaX74A1KiqJT5RONXHU+U/NDiNda4N7DvGQQolB86UtfSvFsQMQboViXt4blS8lQYydxxT0pUJQH7vMqQKgR3QOYZlBlWMBE6PMhCyLn5oyNJmqYn2FO5juBQfhWNWjidurUzmYSgImgIJQlOogtSq9tZG34jEZ7wgknJH8+wYFPsgulCvoTbJ4DKElvVwgpBkaweYduACk/N0Azr+jRaABn863e69prr03P0cv9Gt1j1D9D4xNPPDFZMs22mgFe7373u1Mxqr/RlRXKsuEu1UePXKNQSDlnrWvzA/RZSVdffXVqAgsEWMSjROMAphkcGsDUfKnSxgREuZbESqoakwZM6AbkWZ3coyxQYFM/CAg0Zz3YJkLW3rLLLpvSbwWlqxjuDzx0fybMxL0E2j1TvXbe6fN4B4Fz12o0AJaYCpcSABdcbwTgjc6dlM+46Lw/S6aZMshikpCkQJULVLzJGnUO8GFtaQmlkbQ6OnVELCfKBgADZK6B3qMESuYwgGkGJwcwNV/SmJZZz6VAm61qTCIwoR1BI4FEhhOQagROmcaEiESIgw8+OPVbFJ/Krp1BCJNsHXPdSnYRd2C9yLrDA/24J21eVmp9jCm/s3uYezEOnQJkpqFDP+6d7zHqv6XTa9UkGSTzh7kBJOgHjJSaaHrKJQd8xH5ZtjbkY22jn44jLPMcIxo1y6jZPAQwzaBMAFMzFnncX027FWfIi6T50f37ZlKBiYARo5EWrT9gTrVuRjnChJUhc1NSCE1aITIrlqDq16BBs4ivu+66lIAhG5K7x32aud26uTfXlN1YuZ9aDcJUYankIHHNcSgZaPU+Zb9jkYotKsKnILAYgQuL6Oabb04xItl6eIElLRa52267JZqKy7J0zZnrjCuYBzDN4JYApubLhiDlt9ZsVbFdVWNSgQn9WJ402qWWWiolRDSzHjKtCRgApa5E1p64G6sLkKBTL8O1ARwtnOtuiSWWSMkX4lqDGABQDK0d2HkudTIyxXbfffcUlB9XQVuWjt6P8qfHItCxL5Gmp5IUuFS55wAWd514nxIEfISmkzQCmGbMZgBTc7ameXGlyNihxVY1JhmY0FTh8t57751cMboptxuEFssVgMiMEz+QvSczq1vtmNLBcuEWEstStpABb1DCTjyEQG0HxuiB71htygYI4mZxqXa0G5fvgbX4EvfcfPPNlxIWFB2bb9YS2kmMoCj6YU1l62hc3rHMcwYwzaBSAFNzdslaHL83YVrVmGRgQkNWCqsEILAIyrrMAIZ2RoLZzpVxxf1GYLWzQmrnLl9HIoL4BAGork4MrFcrrPY+9X+LkWhvUwaYPAdlSNxE2yOp85M8vK8YIgtJwon2TNK30YAlRZHIw7G2VpeUQjGZpBHANGM2A5iaszVgIkRpcmWESfMrdfaNhTdJ6eL1b4+uwEFdCfcMjTg3Nq0/tv5/55qL3EBVIoXNCfXiY1X4vtnwnftIJ5ZMIQ2c60iGl3ludW6za3byOSErXtYuxpSv6ZkIYIF9zUE9+6QJ4vyueF78UUlBuxIJdAFaFBLnTdIIYJoxmwFMzdmaEMD89oVp1Bql+Zm9fTPpwJSpA/DVlSheRd9OgIEGzXrSRkYh8o477phce60sJ/OpNklyg3MU/VYZOxRf03WAYC0z0AOIyTQDwOJsk5oI0QkwUWq416ve9qLMnPV6TADTDAoGMDVnJcKPliozirupqjEtwMTCkXGl/YwstE5BgoCnOLzzne9M9VHiRNKMfVYLcugpWUJbIQ2EucYARDdthXrhAeB72mmnlbYO3QsPyl7kupT8AYwn0WrqBJi8P7cry7nWxdfL3IzKuQFMM2YigKk5SxJuhJeGnYRdVWNagAk9pVAfffTRyWpSzV/WmqidC8Fw7YzEq+yWrP6Hew7w+U66v9ZXapPcS8ZbO7df7fX79Tfg1SuvU6tHjAVtZKvZLqRKJalf797uOp0AE6tYzI3FPWkgHcA0g1MCmJovGcBEUMoAKhsDaX618t9MEzBJBUdfe+9ID1a3VGvtlKWaeWKRsIpU/6t3EZ/hupPp5foUDAkIw9KyZdpJfugGfAH4q171qgS8anxauSzL0myUjusEmPCMRIm8x9covUevzxLANIOCAUzNWYkAo+VqayIZoaoxTcCUwZ8LTrcDcZ9utGDXMV/iD6wSYKT2Zd55502ZbbIAAcKwQAnvAEXrrWzyQy2/Ecba6nBX6nrAgh/mu9Q+Wz/+7hSYWME6gHcD8v143kFdI4BpBmUDmJqzmIXPj62qPFx5zenE3y/1GhhoI9TpQGeWUm4/JDurG+Gd78syAURSrRXN2ga7ys4d+Tnqf1NyWHDdZHiiEdDlytOyR5fySRLKnQATa9FmfoqVJwmc8UsA04xVE8BULz6e/J8WLkYhfTUKbJ+kS/1fvQKT67GStBsSIxIPsmVBL0KH8OfK48KzjUSVikU9ffL/eMimc92CLn4kjPfZZ59EJ8IZWE3C6ASYHKtVUQDTcGb+f6q4bQBTcyoTBBa+QCstvKph4U1yHVMzOgrqq0myQaKODN0K8Hx958uCY2HccsstCfzM6bAGdxzA7cZVmZ8ZWLO6xNGOO+64pDAN853yc/X6uxNgMq933nlnss4nyWpEw7CYZnBSAFPzJUUIEJZ2tbRbZlVjWoGJi0Y6tOp/3RgUwvYyAIAAuRonllg/+uv18jxASQ84GYG9DLEqSR7LLbdcKjQGeOM+OgEm70tZ1KbIeZM0AphmzGYAU3O2Bkyy8WRSVekKmlZgMhNccJrmKrqV9q0otVuXHkuCELvpppvS9VhPVbaWqucsgKJuq5sYU+21vJO+gTpC5Cavtd+P49+dAJNjFdfmXonj+L7NnjmAaQZlApiascjj214QjHqziaNUNaYZmFg56nxsgc0FZ98mYIIm3Q6JFeqXbCPRa2JFt8/gPBYTS6dXFyXARRNNZ3Pz2W7Bu5f36ee5nQAT911uSdSLW7Sfz9+vawUwzaBkAFNzliIAaLeKN6vUtKcZmPJsSAfWy05XCLuTymjrVvg6T/eEVVZZpdhrr70qTf3P7+M3S4c7sRdhiifxBxeluqYFFligsAX9MAqGa9+t1787ASbvqnmveq6IMfVK+c7Pj+SHzmnW1zMINJ0f9MoT+6hqBDAVKYagU4M4ir2b1O6IOXULTpJXbB/BwpByDSQI+ct/XokAACAASURBVCqHmMghhxzSkyuPBZ+zF7VXskUEYGJlVv0+/aRdJ8AEjCQH8WL0AvL9fP5+XSssphmUDIupOUsRgtLF9WKLGFNzOvUjXbz+6loKbbjhhsXpp5+eYk3iKXa9ffvb397V9hQEn+4JrqErhOLMqoUaq08j1m5iTLJDJeAoXdCE1jughe7s3mmagMlcKgXQWqrqOazn037/H8A0g6IBTM1ZiwZKIEh+qLJAMyymIvW607T0yiuvTEBkfx5AxeK54IILkgXbaQ2P+VQsvdFGG6Wu5Oa0SsEmxmSrj05iTJQjCTj6wtmqQ5yMC4/16NllME4bMLGYCHDK4qS1ZgpgCmBqjkgzvsmuPDUwYTE1J9egLCbAZBdXMQUCSMBb8a0tK/bcc8+UyNCp+4plYU8k23WrlerGemlOidbfcMN1slVDVoy0WNKuybby9f3+phGYALvMTXHIiDG15rlBfBsxpkFQtYNr0kgJEwIsgKk54QYNTNnCYCGJ9dlYkPW0wQYbpHZDElPKxp7MqQagtpGw/YXuCZ2CW3NKtP5GpwIp8GUaAntXiRInnnhiqsGyWy9BXL9VxzQCEyVFw96IMbXmt0F9G8A0KMqWvC5hp8D22muvDWBqQbOqgMkjABGJDGI1O+ywQ7H22munbhFcXQCsDMg4n8YtsUJCBGFfxeDKY/G0s9LENbkcdVtfZ511isMPPzy58gjk+vebVmDiymRBV+mKrYJHwpU3g8oRY2rNboQBLV0WV1UjYkxPxpi48rLFVEt/NLKI7WC74oorFrvttltKaOCqKyOsgCl3oHjTfffdV9riqn2GTv8GOFrpNOIlgIPXWOjWpIa4K6ywQrIIW/VpnEZg4r6THCPLMVx5nXJh78eHxdQ7DXu6AgEnk8tWDH5XNQKY2gNTFuTcYizajTfeOAEUN58OC+0GcPj0pz9drLfeeql7AndgGUBrd91W38vKu+KKK5oCLUH72te+NtVvaaPk+VhXrZ5rGoHJ3OkerzYtgKkVxw3muwCmwdC19FUJBJlbDz30UKW7hgYwtQem2knkihN/0Z6Ha4/rS/fpRq6vfB43raSKs88+OyUWXH/99R3vLJuvVfY3YFJ6UO/KY0mJY9qmQysmW4gQuizFdrGzaQQm88paFmdqR5+yczMqx4Urb8ZMhCuvOUtiem4UBbZhMTWnU5UxpmZPQYhzuR5zzDEpLqPoVK1LfbJA/flqgwCaRAo76TZys9Wf0+3/YkxnnXXWE01c3UuCg6w7LkUJHTZMZPHVx5Ka3XMagYnCyLrspRtIM3oO+/MAphkzEMDUmhWBk4w8VkxVIyymziymPC+EuWy2nF698sorF29605uSAGvmDqN9S6QQp5IB1yqek+/T7W9uJ+DknuaYcNW5fskll0y9AfXx810nYxqByRzfc889qcA2XHmdcEt/jg1XXn/o2PVVgBJBcsIJJyS3QdcX6vDEAKbugAmZgZO4k23I999//5RAcNBBByXXXiO3j+OBEUvLHkeSEwalhOAl6eIyPbnuZNzlgmGNZgncspZSZqlpBCaWpuQHrrwApswJ1f0OYKqO1g3vRMsm5MQvygTUG16kiw8DmLoHpkxurj2NTnXgluHGtXf77ben2pd6qwQgfO1rX0vuPF0VnDeIAZBkAJ566qmprdCWW26ZYk4+7xYMpxGY0OoTn/hE6qfYzBIexPxVcc1w5c2gcrjymrNbrcUkFlDVCGDqHZjMlfmTvMIKkn2nW7m6JZZLvXUCyG644YZi3XXXTS2PaOWNLKxueIAV5Dk+9alPFS972ctSBwcAqPaqUwup/v7TCkzWo3q0fs1RPV2H9X8A0wzKBzC1ZkEaWS7ebH1k/74NYOoPMOUZMYesIB3Kbdu+xx57JFdfrbZNwEnisC2Gxqhcgf1IhAA85jN3q3B/23iIW/YKSt5vGoEpb3uhf2I/5ijzySj8DmCaMQsBTM3ZkbAiQMQfBKqrGgFM/QUm80aAieNIjJCBZ0sNvM+NBiD8cPF96EMfSunj4lO9um9ZZTR7MUr3A3ju7TnMcT/GNAKTuZROLzbYLzr2Yy76cY0AphlUDGBqzk6AiQtGbCLSxZvTaRTSxZs/3czfSB+3K64C1uc///lpGwkWcXbteReZfMsuu2za98j8dzPUJtlGfe+9905JDgpngd673/3uUr3yyt5zGoEJGOn4/+CDD3acxViWrsM6LoBpBuUDmJqzIC2aIFPwGMDUnE7jBEzegsatZumII45Iu9russsuqVO5RBdWk+8222yz9CP7q2wcA78QmkCJ6043CttUXHPNNSllnaVkPyXxrH6NaQQmmXiPPPJIspjqE1n6RddhXSeAaQblA5hasyAhJnhO2FQ1CDc7dNrmgCAb9TFuwJTddvrq6cUHQND6pptuSq5bnRnsEuszGXT+d067IWbF5at/ny3hM+CJifiO9dXJthft7uf7aQQmwG4rGhmOkS5ehkv6e0wl6eI0O35v2UqnnXZayhyi4UmfFaQ1+YKM3BJ2zMQQDz/8cNIIpVHrI8ePrjuC1j3nnntusi58LqXTdWmgFv1dd92Vihn1ufK5JpXasLifc7lQCGTPJPh88cUXJ03TfXUTtmmche86CuwAhvPsRur6n/3sZ9P1bS+Qr6WLtMC35/FO73nPe9Lx1113XTrXO3ALuJbaEs/qu09+8pMpBiGDS7V+bK3enLn1mTP/XGNvfetbi4suuqjwmXY/5kdHbfOqqwFeuv/++xOt0d1n5tR86Q0HiJ0rxqPwVKq3z/Gddj54hztMV4cLL7wwZdg5V3Gq/3UD8Azm1Tl4AsiILdnugltWdpxjxSjwK15cf/31Ux2TjuW33XZb4gFbl4sLsZjx46233pqukflSFh/ec77vvSeg8NwHHnhgyvLDd1yF7sv6cr/6lkTNKdv+m2kEJmBkLZM7tQks7ak1+keExTRjjixo/nbgRMMDRBYRU1lzTAv83nvvTSBDeL/rXe9KgUcCn/ZH47TAL7/88lSJbSEKGgMRAkAPMkBBqLgO4U9AEEiA6RWveEUCFdsku5YWMXfccUcCIgueoHFfvc9cCzN6JsKNYCN4fAe8XNc93M/1CUNCieDzPASE7wkIgsq5AMi1AJ3vgBgB5Nm9o3fReNPzVeXOGzeLiaA1Z9KxbeRHkHOBXnLJJYlu5s28UjjQGN9QdNDdPAB9c48XncM65WYj4O1DRBHCd2JDQMpc2RYCAOE9cwsg8CDrjZLie+dQaPCJ53MMXnINx5pbHgOfu69nB0Q25TvyyCMTwEoz1y7I8+KHDETOxXP4xMaDQFiqed6mwjryPt6ZsKEQCdh7ZjzMiurHmEZg4r6z1oFTAFM/uKiza1RiMRGCFrE+XbRTgqMK85jm657nn39+ZfvhdEb+mY9mPRJ46FXGrTPz2Z39N27AhB62a7D1hF1nzW2vNKI85B1s+xmTaTYTnhdYABsAo50R3jzppJPSvk2Uk1p3ruO5ee0JpGksEJVqToFp9e6EKhD0fq2Oa/ac9Z9PIzCRT5QV3g1rZZJGWEwzZtPi4Gu3oLgzBH25SfqxaFoxzLgBE+HIEtNXDb0GOcYNmNCCsOC2e+ELX5jcs4CqF222amDyDpIczK1dbRXA2kjQTrcsQZYUYeidrA38wKXM07DKKqskdy+3L7BqNdzD9R3bD6tpGoFJBiX5wWKqQoluNZ/9/i6AqYaiFouFxrWidctLX/rS5P6QpTSoMW7AhA6ELZcOdx9X1aDGOAITHkIf8ThbN4i/dJtqja7DAKY8n9YCN7BYmXdZfPHFiznmmKM46qijkkuS61GsSNLEy1/+8uQyVA9VRkgCNYBEweFm7HVMIzCxOoES93Avyk+vtB/E+QFMdVS1YCws4MTFRvPlxx0UOI0jMCGZhSBOkC0nArnf1uU4AlNmJ66trbfeOgltgqOMsM7n1v4eJjB5DnOq5Y04lT2e5p133hQTBUisKVaSHXDFjbIVVfv8rf4mWMVOuaIkevi/2zGNwGTNifFFS6Juuaa38yqJMdU/IqEooKtSnUYo0Nxvweue4wpMaCHYT9sVsGcVWCj9HOMMTIBInHLhhRdOSQEsiW7GsIEpPzPQYT2JH80///zF7LPPniwoyRPApdshXiXxQ+yKgO12TCMwcZdSoCWXdKv4dEvvQZ8XFlMTCmfBK3NJRpKYkwprwrKfY1yBCQ0AkVZFOcMqF2b2iz7jDExoI1NOp4M11lgjWRzduFtGBZisB4IQCMn01G8P7wKWXtYEK4k7WEapwlvuw27GtAITS1WcLoCpG67p7ZyhWEwe2WI04eIp22+/fQIn6a+9xAzqSTHOwORdCCuChavHuwiadyOA6+ni/3EGJs8vOK2uR13Tvvvum5JGOrUqRwWYaucHGHG9ARFrpNdhjeEdFma3tU3TCEzWB7qxmPq15nqdy36dHxZTCUpaOExm2XqbbrppqvnpV0bauAMT8qGPzcoEw1mY/XLrjTswoQ0gUl8EnBTAdirMRxGYSiyZjg5BI3RhjYnNdQrebjaNwJRjdJJtrBWKUDe062iyKjo4gKkkoU26VHJuPXUlihX7oS1OAjChgwUhEMtyAlCAu9dFMgnAhDbiSzo4aO0jRRqQlx3TAExogU7ceYqHZet1uramEZiAucJlxfMaAVAKyalJGAFMJWeRkOVmUIRrkzOV+FwPmKOXMQnAlN+fW4+bBzhpl9OpdZCvk39PAjB5F0Ck04eCVV0VxATKjmkBJvQASLqQ6Jhh7jsZ0wZMgBu91MypK1RbJkOWwiz0AKD66VbvZC76cWwAUwdUxAwWjLb9W221VSo61FaGKd3tmCRgQoMMTqwmi6YX2kwKMKELa1IfPV22tQMqG0uZJmBCJ5o/l6dEiE60/2kEJmtLCyhrDa1Y5mLg5BM6ahCgfZh4IMW6Uyu0W5nWj/MCmLqgIoGpT51qd2498ScCuZsxacCEBgKxBLG+gGp4WE7duPUmCZi8PwGi39w222yTCiPLCIppAyb8wxJQJyVuWYZGzpk2YLLGWERicvVKDlmEdvoZ6vepD6JjHee7XurFupFx3ZwTwNQF1SwWE83tAJykkgOnsouo9paTCEzoYOFYCFxYmtCiV6djkoDJu6OBJqra+tjNtYyrcxqBieCUBq0UoazCN23AJBNWD0Prqx6Y8vrjQmZJSUZiRUnCESfn9hv1EcDU5QzRgGl2LKfcvkjPsHomaXf5SQSm/M7AiXDJRbgshk7GpAETgcutctBBByVLWyygneCdRmCytnRHt+2K+EmZMW3AxG0n3l1me3p8Ry7xYpA3tjPBVzq9W5/9LH8pM1dljglgKkOlJsfQTAhP1hKXnq7kNJJOJnqSgQnZ0AiA2+NK1hDBXHZMGjDl96axsrJtdSJFupVrZRqBCc8AbEki2hVJqKHktBrTBkwsSvthWSOdDGvRGiSndNygHNneBnCJWbGwunG7d/IMZY4NYCpDpTbHYA6bAapV0VtPZky7hZQvOenAlN/TbxqaFjYYn/BpNyYVmCx+3TI0RdXktVWCyDQCU+YLVpO90AT022W/ThMwWTu6imiZ1ikwZdrm38oXpJtL4tLRgzLATZjXaJl1mq/Vz98BTH2gpsmjcYg5qXOyRYD2Ra004XzbaQImwiUvqDJNcScVmCx6C2/XXXdNMUoCppkAmGZgMv+0e/VN7eJN0wRMLEiKDdnRSU1cljm1v53PiqIsWZ9CEznTj+vdOm3Gm7XX6fffAUx9oqjJ434wsbalBk4av7Zz600TMCG1RaDGSdaQBdaK6ScVmNCBIiOdV3fuU045JQneRqw4zcCEHoSl9HquJ8Kz2ZgmYKLc4R1rqKxnphnd6j8HRFLM7XItYYIrlUVFQZC80ysQ1t+v2f8BTM0o0+XnJg442ZaaW08tDyHUbEwbMAEii0kRLjcNZvd/I4CaZGDCD/hCdp7CW6n1LOx6Okw7MOENdKK9E5jN4h/TBExitbfccsssvNJMxnT6OR4kx6w/AGHHav343FMHeK4+Snizuej0fo2OD2BqRJUePzNpmMf+NZIiWE7NxrQBU6YD5patpwUNbayR5jfpwASILECdRAhWmnC9+3fagQm/4ANxplauq2kCJvvDoccggSGv0wxSsiMp2WJSlKkf/ehHqaB3UM8QwJRnoI+/TRYtT5xJ01eCp1lq8LQCEwEsI+3MM89M+/ywnOqF8qQDk0XPPSXoTInRiqd+T6IApsczO60n5RiXXXZZw5U6DcCU5cqll16aAKIhIQbwIT6lbLOizIOiecCBb61hu+iWiRl38mgBTJ1Qq4Njs6ahn56dTG3Tzi9cH3OaVmBCSvGDXFsBuMWfajWwSQemzE60z8MOOyzt28Rlgi55BDBlShRJY7/++utTPK4+1jENwERxkwQCEIDDsAbZRoESI2blc/XpQMGSI994Q1rFA8s8dwBTGSr1cIwFROiKOVk80jJrJ22agQlZgc/3vve9pIFhRppXBqdpASYCR2beqquuWuy9994zteIJYJp58Sks1fGAACQg85gGYCJLtBmS0t3I9Z1pMYzfdjdWDqJHn/nh+iPnrGXPmtd02WcLYCpLqS6Ps3hYAmJOwElhpWyXPKYdmNCHYM6V/hg7a8PTAkxoIM524YUXFiuttFLSiL27EcCUV8rjv1mT0sdp5bWu32kAJoJejaQQQa1yOzOFhvMffvWTn1HTgYMPPjit60b9/No9ZQBTOwr14XvaAnBiOelKLuYkIUJcZdqBKZMXQ3MPWHRcA2gzLcCEBsBY5pntVOyWLMiMbwKYMoc8/hsYSZO+6KKLUpZe/nYagIk3gVUirjNqFlOeBzxLeZBByS1trk4//fSU6ETWmT/H1Fq7+dza3wFMtdQY4N8mgvCRTaPGyUKS5aIJ44YbbpjMX1rgNA/04aphNamjEH/iIrDB3jnnnDPxpLFoacQ6kB933HEp0MxvL7Pz6quvnin2NPHEaPKCWfA9+uijCbyzS2/SgYn88K6KX62LcRjmStKE59V84IwzzkjrW20UWUcRbQawAUwVzzArQPNF7Ytk7J166qnJxccvO+3AZCows6DqNddck4KpLIfll19+KoCJ8KEVA6UVVlgh1cN98pOfDGCqW6PopHkp1ye3HkCfdGAiN7wzGdFMmNeRaeT+NU+sPQXTrCfZhfjdu/nOe5lbI4Cp4ulDeCmXYk7aF+mXtuSSS6ZUYXEG30/7DyZFIxblbrvtViy44IJTAUxY0eLU5UBDYPs22SYjLKZZFynrOneuJ6wVs2+77bbJBZyF26xnjf4nhDQX2JZbbjkTz1sP+kw2KzsZ/Td7PO0ff7OizBkZyHpSMsJLIhblOyOAaQgzyioQUxEg5NYjeC2s17zmNcWxxx4bP8ceWxxzzDEpQ40bb+65504bxw1hqoZySy6Od7zjHcUyyyyTeGKttdYKV16DmeDa0j2EcNt4440nGpjEbLh1WRgUt3EfACrHlVm9PCO8RtLPZR5qiv2UpzwlJYoB61Ec/zOKD9WPZ6L1aV/ErUcAc9/Ez8w0QBdp1ATQtAwaP2vgla98ZbHQQgsVyy67bAImCTTTbk3Xvr/1A5yUG2jrNMkWE9fX4Ycf3nHa9SivGXMJoCQ6SYEXhyIPDzjggOINb3hDMeecc6baz1EF4okFJkxjclhQ8dOaBug0TYM2ydUhfXyxxRZLu49mbdlCjZ/HaQCY9BlEp0kGJkpJdnNNyjoASrwDmsRKblJkvuKKKxZzzDFHMe+886a4oa4SZOMojokGplEkeDzT8ClgMUq7tcHi0ksvnWKRq622WrHmmmvGTw0N0ERyDO1amj2ajbMSUx9j8i7iS7o9iMGM67tRpCQ12eBQQg8gUte5xhprFFzV66+/fvHyl7+8OOqoo5L7znEyL0d5PgOYhi8n4wmGRAEV9GeddVaKNYlBxk9zGnD30sLHeTQCJnEXNW45OWqU3w9wAiHJDWqYNGq2Q64MPM1f1XBK7JFFaQdn/KwmTUxJaYjUct6CcRgBTOMwS/GMQYGgQM8UqAcmlrNi/Le//e0j58rLIMTNyM0MjICoRAZgs/POOxdbbLFFip/LPn72s59dvPa1r01b3mjB5dhxViQCmHpm97hAUCAoMA4UqAcmz0zw58SXUXoHMS+JJ7fffnvq+r7nnnsWiy66aPGMZzwjbYC50047FUcccURxww03JLccl2SOlXnPUY0dlaVxAFNZSsVxQYGgwFhToBaYdHkgyGWoiS8Na7CMgJACX645248ccsghqc5OucsGG2yQau123HHHlPL93ve+NzURkMavoFaCiveatBHANGkzGu8TFAgKNKRALTDpMSdrTcFtVW2IWDFiPFqDASK9GmXN6V954IEHpnpLLbOAkWQFJQ1iew8//HCyilq1GWr4wmP8YQDTGE9ePHpQIChQngK1wHTyySen9j0K8WWn9XvkGJF6MGCknkjmnHoi91ZPJFFh/vnnL+aZZ55Ub6lLAyBSysASmuYRwDTNsx/vHhSYIgrUAhOLSco0AOh3kgBQ4ibUdUEjab0pdc+QpLDEEkukVG4tsbjsNJ5WAGtrmt///vcpfR2YjXuMqFe2CmDqlYJxflAgKDAWFKgFJokDrBOWTC8DqEk8AHK69t9yyy3FkUcemVxzsua45jSU3n333VPPziuuuCJ1YJC+LUYEwKYdhBrRP4CpEVXis6BAUGDiKJCByb5chx56aOqZ2InLDAgBMtYNUNEcVfznxhtvTJ0x9ORcZ511Utac4lY7JttqxTFiSkAoRjkKBDCVo1McFRQICow5BTIwsWC40jRubdWKiEsu/7BqgJjNBF/3utcVBx10ULHUUksVs88+ezHXXHOl65100kmp76I0b4WwMbqnQABT97SLM4MCQYExokAGJmnYu+66a0oTbwQgjsstfmwPIx61+uqrpybQ2jRp97PZZpulzyUzfPe73027yrKk8h5IAC1G9xQIYOqednFmUCAoMEYUyMDEYuJm41qTMacdkRgRC0rfvNe//vXJ1ae1D/ec3/vss0/aLubNb35zSjEXI3JeK4trjEgzco8awDRyUxIPFBQICgyCAhmYcp2QHnk6bNuWnGsPAOnALXNu5ZVXTk1+ZdWpdWINNbKuBvGccc2iCGAKLggKBAWmggK1wLTIIouk7R90TrcnGQtK9+13v/vdab8utU2sIecApHDNVcsiAUzV0jvuFhQICgyJArLqdOXeb7/9UifuK6+8srj33ntT0SvryQaSUr/DMhrSBNXcNoCphhjxZ1AgKDC5FGD15L50tjyR+t3v4trJpV61bxbAVC29425BgaBAUCAo0IYCAUxtCBRfBwWCAkGBoEC1FAhgqpbecbegQFAgKBAUaEOBAKY2BIqvgwJBgaBAUKBaCgQwVUvvuFtQICgQFAgKtKFAAFMbAsXXQYGgQFAgKFAtBQKYqqV33C0oEBQICgQF2lAggKkNgeLroEBQICgQFKiWAgFM1dI77hYUCAoEBYICbSgQwNSGQPF1UCAoEBQIClRLgQCmaukddwsKBAWCAkGBNhQIYGpDoPg6KBAUCAoEBaqlQABTtfSOuwUFggJBgaBAGwoEMLUhUHwdFAgKBAWCAtVSIICpWnrH3YICQYGgQFCgDQUCmNoQKL4OCgQFggJBgWopEMBULb3jbkGBoEBQICjQhgIBTG0IFF8HBYICQYGgQLUUCGCqlt5xt6BAUCAoEBRoQ4EApjYEiq+DAkGBoEBQoFoKBDBVS++4W1AgKBAUCAq0oUAAUxsCxddBgaBAUCAoUC0FApiqpXfcLSgQFAgKBAXaUCCAqQ2B4uugQFAgKBAUqJYCAUzV0jvuFhQICgQFggJtKBDA1IZA8XVQICgQFAgKVEuBAKZq6R13CwoEBYICQYE2FAhgakOg+DooEBQICgQFqqVAAFO19I67BQWCAkGBoEAbCgQwtSFQfB0UCAoEBYIC1VJgFmD673//WzT6qfax4m6TQoFGvJQ/m5R3jPeohgKZbxr9ruYJ4i5VUWAmYPrtb39bfPe73y0efvjhJ36++MUvFl/5ylcK3/373/+u6rniPhNAATzzne985wlequWrH//4x8Vf/vKXCXjLeIUqKPCb3/ymIS996UtfKh577LHgpSomocJ7zARMX/3qV4ttttmmeNnLXla84hWvKHbbbbdi2223TT8nnHBC8cEPfrD43e9+V/znP/+p8BHjVuNKgS984QvFy1/+8mKjjTYqXvrSlxZbbLHFEz+vf/3riz/+8Y/j+mrx3BVT4Nvf/nax5ZZbFhtuuGGx+eabP8FHW2+9dXHeeecFL1U8H4O+3UzA9NBDDyUhctpppxUf//jHi8985jPFAw88ULzjHe8oXvCCFxQbbLBBcddddxV/+9vfkrtv0A8X1x9vCuCdddZZpzjmmGOSUvORj3ykyD/f+ta3ij//+c/j/YLx9JVRgLVNBl188cXFfffd9wQf4TGgFdZ3ZVNRyY1mAaaXvOQlxdVXX51cd//6178KP//85z+L73//+8U+++xTrL766sWjjz6aPq/kCeMmY0sBQoO1dNVVVxW//vWvEx/hJT/cwmIFMYICZSgAmDbbbLOk4AChzEfkEw9O8FIZKo7PMbMAk8m/7rrrZjGNWUnvfOc7i9VWW6245pprit///vfj85bxpEOhAGDaeOONi2uvvTb4ZSgzMDk3BUzcwffcc0/xj3/8Y3JeLN6kIQVKA5OzP//5zxcvfvGLiyOOOKL42c9+1vCC8WFQIFMAMK277rrFySefnFwvXMP555e//GXEKjOh4ndbCgCmTTbZpHj7299e/OhHP0ryhwz6xS9+kUILEfduS8KxOqAjYPrmN7+ZEiH23HPP5NobqzeNh62cAoBpjTXWKFZeeeUUtN50002L/HPvvfdGlmflMzK+NwRM6623XrHddtsVRx55ZHHsscem/0wjCAAAIABJREFUn5NOOqn42te+llx74/t28eT1FOgImL7xjW8UsmD23nvv4oc//GH9teL/oMBMFABMhInkh/e9733Fhz/84Sd+aLsRF5iJXPFPCwoAJok066+/frHzzjsXu+66a/rZa6+9is9+9rPh3mtBu3H8qiNg+tSnPpU03+OOOy6Z0OP4wvHM1VEAMEnvveKKK5LrRdA6/whaxwgKlKUAYHrhC19Y3HTTTcUjjzyS6i3VXErKkt0ZrryylByP40oD05/+9Kfi+uuvT24ZSRBRgzIeEzzMpwRMkfwwzBmYnHsDpkh+mJz5bPcmDYFJ1p1CWim9fqRmPvjgg8VWW22Vkh+k/oYbph1p43vAJF08lx9kfvI7UnyDPzqhQABTJ9Qa/2NnASaul1NPPTUV1n76058uPvrRjxZHHXVUCmILPIY/d/wnvao3AEziAgLU4ksKuPOPWrgoiqxqJsb/PgFM4z+HnbzBTMCkJ562MbRc7T+0IxJoPPTQQwstZD73uc8lYdJPa0kQXJ2L7hL6YbHOYkwGBbIwoexww2hPlH+ijcxkzHFVb6FTiDZp4tzTFp+kwOkJeOGFF6ayiz/84Q9VkX1o95kJmACDzDuT74fF9OUvfzkFrv/+97/33X0H4NS1POc5zymWWmqpBH4/+MEPQpMeGjv098b46etf//oT/JT5yu+wmPpL60m/mvCBTGB1S9OS6OA9NTYgkyl08847b6Ezj3rSSVfgZwImQIEY9T/9tJBqF5Drvu1tbyuWWGKJYrbZZivmmGOOYvfdd09uxNrj4u/xpEAzfsJfg+Kp8aRUPHU7CuCX/NPu2En5HihR4vQoffrTn1485SlPKWafffZUfvGrX/1qUl6z4XvMBEwNjxjghxjt9NNPLxZccMHiaU97WrHIIosUCy20ULH22munDEBa0rSZ7QMkd1w6KBAUGBMKSD7T8HittdZK8lD96Nxzz52yXNdcc83iTW96U7KaJlXBGzowKZDjxlt00UVT8a5ahcUXXzx9ppUNV2J0oR6T1RSPGRQICvREAUDDGrr11lsTCOldqg3TgQceWDzvec9LNYGKjP1ILvrrX//a0/1G9eShApO0YYHxF73oRWkPKFqBGildzOeaa65izjnnTCnqYl3qqBwfIygQFAgKTCIFeIckNlx55ZWpYwq5KOlBnFYbOPvjKb048cQTC1bTDjvskDZJnESv0tCASZxBh/JnPetZqcXRm9/85mKZZZZJ6emCfQcccEACJ3Enx1xyySVp64RJNV0ncaHFOwUFggLlKfDzn/+8OPPMM4sVVlih2G+//VJ3C53Ubbgpq/Wcc84p7Pxsr7wLLrggeZZkt05iQ+2hAROC0wQ0+FQ3ZfdcLjzFvTJvbP712te+tlh44YVTUsSSSy5Z7LvvvqmOSvpkAFR5ho8jgwJBgdGlAFn2ve99rzj66KOLVVddNVlEGtPmTOg77rgjdVZXUsPNd/PNNxef/OQnU33pc5/73OKWW25J2Xuj+4adP9nQgAm4fOhDH0obDzJPgZEt3V/1qleltFDmqT5YttiQFPHUpz41xaFsq3z33XenCZr0lMnOpzPOCAoEBcaFAgCJgq5G6/DDDy+AjIbHjz322Ezp4KwiFhNLSUxJSY0yG+eJNXHpicXzQk3KGBow8aXeeOONqTPAe97zntQC6dxzz02NGnWbyMPeK2eddVYx33zzFcsuu2yx/PLLF0svvXQqNvvJT34SWXuZUPE7KBAUGBsKZFBSz7fLLrsUq6yySnLV6UFaDzDcehoe8CJR2D/xiU8kL5OksDvvvDPF6cWfxOHrzx0bgtQ96NCASSo4f6oc/awJsKBoADSEPFhFP/3pTwugxZ2nwMxmhcstt1yx0047Jc3BMeHayxSL30GBoMCoU4CbTns3nXbsWSaE8dvf/nYmYMngJQmCrKPMAx6/xZoUHJOjb3jDG1JI5NJLL03dc0b93cs839CACdgcdNBBBdecDQhpAoJ4gOeVr3xlsqAy+jN3faclh5RJKZSvfvWrk7VFk9DSyI6ojosRFAgKBAVGlQJkmjDGBz/4wQQ2spJt5SGUUa9ck4ncdpT3Qw455ImsZIq4TGWKPICzDYgQCNn4sY99bCLKa4YGTNBeLz7Zd9x1honha2UR6bNWCzS+ox1cdNFFSTvQN0tapW0VBAxPOeWUlMUSNU+juiTjuYIC000B5S4yke3erF6T7Hrve9/bFEh0fuBNAky1XiSAxboCSGJOjvM3y0u8yT5VWakfV4oPDZi+853vJIvnjDPOSNZOJqAMFE1kr7vuuoYTpiLavlASIlhWCtEU4i6wwALFjjvuWNx///35UvE7KBAUCAqMDAW44G6//fYUI9f7jqyqt5JqH1bMiHwjDxXZ1g6K/Wte85okO10jHytWJYGCgt7q2rXXGsW/hwZMUsWBiwSI2k0HBfgEA3WEAEL1g7agOaiJev7zn58y+QQATThfrM/URDGNHRsjKBAUCAoMmwLSvC+//PJitdVWSzs2aMQKTFoN8o+ltMkmmyTXXe2x3IEsI7VP/s7WmBKb9dZbr7jtttvGOoV8KMCEiNIdFc8yVWtddkzUs88+u1hppZWSf7URuDgfmLGcpFHqGPH+978/ZajIYOFrPf7441Nwsd3k1052/B0UCAoEBfpJAbJN9rCCWIldFG4Fs2VCDsBMqIMnCAjVDnJRurjQBkssDy69PfbYI1lZwiFAaxzHUICJX/Td7353Mc888yTi1pqcfKPSx2Xg8b+2AhaT6xj5/wBKmrmuEQp2pZVLjJBaaeIaAdw4Tlg8c1AgKDAeFMigJFzx7Gc/OyV7ARiKdZkh4Yu1dOyxx87S3SEr5xoTiL3nQc7dddddSSZKiOjkfvkao/B7KMDEKnrjG9+YWg0poq0fNiQ0IXbOpW00G9m3et999yUradNNNy0+8IEPJG3kfe97X8rwk1YunZLJGyMoEBQIClRFAdYLUNG9hgdHkldZUPKMUsIp6EITtVZRfn7ZebqMU/Jrh1DHZZddljrp+F0bKqk9bpT/HgowSRU/8sgjU0wI8euHyme75koLZ462GllzAE5qAoCTRrCuwV3I57r66qunJoi29Wat1Vpora4d3wUFggJBgU4pwGrRfDWncJ9//vkJZKR2lx1Ah8uPV0lquf/rB+8SD5G4PM9SlmuOpdALa8j8o6SPW5beUIBJXygFY/ytjRoQ5uwVcaZ3vetdbbUMEyJlUl6/uijBP+YsAARQtoVXL7DVVlsl0GI91ca16ic8/g8KBAWCAp1SIHtweHx23nnnJHMuvvjilNrdaSgB0EhgYDFRqBsN9yMrJYLV10EBQbVOlHVyT63oOMm8oQATbYJlc9JJJ6Wed/VEZwVJh7RPk466ZQKFroHwJtG1xZ3sjiv4R4Pg4jNBYk+uqXBtnCaqnkbxf1AgKDBaFKAca64q3i1tW8ZxWdlV/yYaBohNveAFLyi+8pWv1H+d/s9ASJ6ykPxfO1hJN9xwQ9oiQ4NYyRTjYjkNBZjuueeeVDTGd9ooJTxrAuqU9IDST6rMcB5XnVR0bkDZeeqhMAwGkcUibrXiiiumTBcZgTSZ+gktc684JigQFAgKoAD5QY5wucm8I3eEFhTTdgsEFHMeJZ4lHqZmw/V1ezjttNMaepaAEUV8iSWWSN4nzzQOYyjARJNQbyRo1yzrDsDoOq5Cmluu7MAkLCH+WdtkYBIBwpzvz7WnLxXg0v7oLW95S3InhvVUlsLjfRz+oKTQMrlBQikZ7/kc9tPz7lCubUXBU6NwVmeHRs1YO3lW/ElGiZE3CnfUXoviTtknS+uTK3iLKOoATkLZhz/84YbxqtrrjcLfQwEmWXJcbZITWDONBoJqcsgslihBM+hEiDieCWxCxKpYTiaYZgP0HnzwwWKbbbZJ7YxUSsugaQaSjZ4vPhtPCphj7pZ11lknuX3xWYygQDcUIEsovPZDkmAFlMg04NCJrGp0bxaXWDmlWhZzq0GGKpXhAWqUYIHnWVXPec5zioMPPviJFnCtrjns74YCTPydKqBZLya30QAszE7uPL2iaLc+62RgDimarsF9x6TN5rXvmMs6nOtAIf5kn6dOAbCT54ljh0+BrInONttsqeixkSt5+E8ZTzDqFCA/yBIZd7bj0bvTnki9AlJ+b14lPUBz+Uv+vNFvcXQJFzKYmyn6PEK6j1PI1Hl2Kksb3XeQn1UKTCYNekujZDHRVltNJM1DFwhuP4jP0ul00CAAoApq9+SL5Xd1b5OlOI12onEsjUIGn2y+ZoDZ6f3j+NGgQOY9yom+itJwd99996ScjMYTxlOMCwXIDnLjsMMOS41T/abkNgOFTt8LaGTA48lpZ9WTk57HOWRdo+GarDv99QCeFPJRrm+qFJgQB+FoF9xoZQZ/rYAi91+32i2hpAL6hBNOKNZaa62UDaiJLGDynQni2lM7Bbzsmut/n7cCzjLPH8eMBgUsXnNql2Tu4e233z65SvQsixEUKEsByjHZYRcE8WsNpP3fT0VWDPS4445LIYjs4Wn3fBR+LkXZec2AjPzlxuZytAbEnhq5/trdq4rvKwUmk2cve9tdcOeVGQJ7ej8BsnZBwHbX02VCPGmFFVZIFdmKez0T8CG4TCoLbeWVV06BR5aUKupmE93ufvH9aFDA3FrgtgQQUJZMo86EO1mtSIygQDsKkBEsIvVA5JH6In3qGjUIaHetVt+7D48Nr5LwQlngIMcU2lLkW6Wo++6BBx4oFltssSQL3WsUle9KgYmA17tO0ZdOu2WG2NIVV1xRLLTQQindG+p3O5wLaGzVzpxVGZ3ByTV9z4oCSPrsSbHkj1XzFGN8KQCUZE1RSLg7FCNq1UIBOf3008f3xeLJK6MA5eaLX/xiSqbS5kzGMFnSizxq9PBAAvix6LUxIo/KDMfpmycmRWY2G67P7Se2rtZKcgW5PGrgVCkwQX++TWmLCFhm0ARUMNNQ7PRIyPQyXI+WoFefQOCuu+6agKfWP8yFJ5DJ9Uerltkn44UZ329G7OVd4tz2FCBQZGdqzbLddtsl9wWBorh76aWXTiUF3CCjtjDbv1kcURUFCPqPfOQjqYWa8hVNpmXKkSX9HuQLeWcLH/KurLfGeWTYO97xjmQRtXouIEYhB35KZhgLZQGw1XX7+V2lwIRwAAExaB9lh/iQ2MDee+/dN+sFOCnwFXNiNtdntJgorkPHYBIuINtscPeVNa/Lvl8cNzgKsI4ktLCWcn0J5YbGa16BlQJGABYjKFBPAUoMZZr8kSBF8Hcb666/dqP/AYyMPPcCGJ2CnzgTPndeK2XLd67vvex/J2QySnKtUmCS1iixgJUiYFh2aM/BpaY9B82lX4NJq2XHMsssk1LKCahas9bkmWBFafZEcRzzWgeJWgurX88T1+kvBYAN7VY9CL4z3wbLV2zpxBNPTEoSn/uoaYz9pURcrVMKAAjyinxQruKHIG8Vv+n0Ho2Ox7Pi4BQm8fhOFSbWHYurjJvROqCgKaXh2pO11wrMGj3voD6rFJhMKvNRkReLpezAIOI+9jQRG+gX8Uw6N44miIQX5uP2qQcd/9MopJp7hlzd3U4rKft+cVz/KWBuWbe0QfNqkWfwsSBplrrQcytfe+21XZUi9P+p44qjQAHyhYAXB19zzTVTspb6typc+fhWDJ53iIwEkJ0MgCSeKn29Hah5T1nS2rQ961nPSkpcvezr5N79PLZSYDLZa6yxRorddBIrAgCsJufKw+ff7Rc4mXiTSYNmkUmj/NSnPjVLjj8zl2vv1ltvTdkyG220UUph56sdJRO4n8wxzteizHDDmlPKjDnKixzvXXnllSl9XPxQHQoFJUZQAI8oypedy81/yCGHFEoK8E+/ZE4zKrs33pSUoxURHu70noAlJ0GUkUuOVysFDGU+61wxCqMyYILe0HnxxRdPFfdZey1LBOCESRBP/n0WMmXPb3ccsOOy01pEDExBb30dEyYxkSaPQJPZ9+pXvzrFy+qPbXe/+H5wFDBHMpsoMgcddNAsRbQWv87N4pzaXamTEzfoVAgM7g3iylVTwNyTUSyN8847LyU9sVrsd1Q2AaHXZyYT3Y/1ohC8W37Uys07lAU2x915551pHYi3c+mRt8MclQET9CbQZULpW9fpwDS2UZcVw/U2CMJxNXIZMt8FxsWzGmlKGIabSFBdtiAr6/3vf38CrX4DZqd0iuOLpPFyT1AcdHyunxPARfEQc5KMs+iii0YCxJQzDnnCI6LInsXCMyNxpp53Bkkm8ke2MuVYolW3A39zXXMFlpGT5BlQfN3rXpdkHxfmsBXtyoDJi+omru1P/VbAZSYAgyggUyRJkxmEFuMe/MgAFNjQuBVjNnI7uj8tWxq5mJNGsWpiyvh2y7xvHNMdBSgSEh7Mh4VGuNQPAoBGSTO0EaXgL6Un3Hn1lJqO//GMzF8daSilORGgjFDvJ4V4bdQVrbvuuqlvZ7fXxsfc1zxA3q3MAE5cmFq3yWDlvmRJDWtUBkziOJdccknXmXUIByCOPfbYZGazWAbFOEDUbrjchiw0QfKc0VU/UY6VBaOTxdprr50SOzCEz6vUtuqfa1r/p7zsueeeqW5J9mSjhYmPzCnQkmklXkgYiWPGmB4KkCmEr1ZV+ibqyUmgixv7rupBUeJalpCjjrLbgeddS8fxRopZs+uytCjaav5kTnuGYcmwyoCJmYzo8ubtldTNwCxXXXVV0obVFgxSw6VVmxhMImNP0oPkjUaZLj7DANxCAqbO4doj6DqNpXVDlzjn8a4dFhaAMV959+JGtAFMeJGGSFMWL7QhZasN2RpdJz4bXwoQuEDJGqeAct/JzmymgFbxpjrMyFrW8ojnpZfB88MtKR7fCciy2tRR5d0YGBTDGJUBk3RrWgkk7kUA0HA33HDDlNlHKxjkACp8tXpWcevJ+QdYjYbJZ8GxlrgbbaWRGzw2Oj4+6y8FaImCvqzWffbZp2Udh2MlPphLCgWXHy3R+TGmgwJASZxR02YWs/BCbQ3jMKggYUdjWC3TerXeKctiTAyCTjxL5BiFX6Yql6KyimGMyoBJCuPmm2+ecuY7qWGqJwoz+8ADD0yV0SZykMMkEWKeXV89vaWY+q0A0aRKvxRvEsTUsNYCoM0PyyweJI1G4drmyUIGSGqW0NvC9HmjAZByHMF8EUr6n/lN04wx2RRgBfC4iCfZdZYyyYpuxi9VUMO9KUt6gop7NlOAyz4LkBViUNPUaawIkJFhagCVW/BwVb0uKgOmhx56KGmz4ky9mIdiN7LyNFhVsT+IJIj6yQcqmIbgo5Fz2bUCV5YWTZyFBYy59jSilS7vWjH6SwFCRfLC8ssvn4LH7dwxjpetl/flEpfiuuDSu+CCC1KPMsKBwFJwTRmijHBzWKDDFGD9pdx0XY1iSH7o5gCUZAhr38PdxY3GfYYnzLX4JGvDOqf0SOPGV2LbjvE/OeZ/xzne547lIraTgXPxGv5yHD6iCLmf79zT9/73HZ6bc845izvuuCOdn+/P28TLhP9c13O6H8ABIM71PHiTsk7O+N45NhB0TicDf5NhnoOiV9/supNrdXtsZcB0//33p50eaaUmp9uBuRAcMNmR0cRWMQAghhBYZ/5rkeTezcxkk+s7wUTZPhaBFNTMQCHc+jNr+EEGEQXAj4XZjrbmTRKNBW2IHWrqKvhtOwC8Baj8L+PSwtSKShqtEgILnxAimFwLPxMKrGt8EpZxf+a231dhRYsp6ns511xzpXohCso111yTLAvWhXoeJSNKQSQP+I5wtz8SAOExwWP+t5YpnMIL5557blrr5Nvtt9+e0r39xpv2ksM3ziW7JEop4ncOYOE2kya+7777Jt7TGUdPPgDqGm95y1uKiy++OCVp6I4PwPCjc8VKnUu2aPOGr8W3eWxyPZNEHzzq/TsZ+Nv721hTQTpgrGpUAkwWqgl7xjOekZql9mrlsEbsp8PUxGhVjAw0NB991wgu3cdpV60EIc2DIMNQXIEWBe3e563Oq+KdJuEeFpxWUawlC7KM0oP2WeNEA5qnxc46Mp/iinfffXcSBtJnxUUl7XDNLrzwwsndIliuENuGcRJy8DdBRmh5hgCn0eMu643HQleFueeeO/3wfgAcc0ZBoVxQMigc+MKPcwhl33Gx1f/vGMf73DGsMj8+J+vytdyDskrg+84xvvc/q4hc4VoEOO7jGL8d59kc67freB5Aw4pzjN94zrXy/+Qka0koQl9I53YyXI/1BzBZmORWVTKrEmAy0W9961uTNkpL7XXRmmj5/ir2+YqrHBiLaS5GoYATkwPHVhNGEGIS2phmsPy2zsc0GDlGdxTARzRRxdC6guTF2u5qFu6FF16Y5sSxFryUYe4V1/R/XtyUCpqo7C2xKwBEi+Tyo+luvfXWSZjoBu2H4qEBp8VMq6YlcwnSrgkf7hnX7lR7bfdO8X05ClinwgoyN5/61Kemxsxc9OIx5JT5d0z+7e9e/vdU+Rp+G7XXzt+TKbID999//yeU3drz8rl+5/PzuY3+J3O8JzAhe1hPAFhdJsArO9BEn0Ayi+cHH1fBu5UAEzSn1co46TXbBEFpJrYIxlwyqoBFnriyBO/lOBMDYJnNNAlmNRO93XOYZG4B7kDnaWekmBfQYq4Y5SkAPCw4i9mmjgK0ZRcMet9zzz3JHeeOrmXxleFNfGbR0z5ZzywkvKiol2sZICnOBpZii3z0Mv64BKUB60hBSRPbECPFD67hWtyDirYJjrLvUp5icWSmABrrPjP//PMnt7yif5YKlxflZBjKIh7CJ9x7/XCZZRkp/OB9yBcKNEWOgoTf8ueZLs1+O1d2Hl6mbJHnZN0gRyXARIjrWSZH30v1OhCK1omZWCAWdNWC3f0IJ6mdGFs3Ctpwuwkj2Dwvi093AsxoQTDXQxiV5wzCheWirxj/O7AoM9DfuebN4jQAgRoW2mA/BqEANLlQWPRiBGKStGGlDtyB8847b4onUFCUI7D49O8Ts2BhEZB4nDLjet4PgOIvfFKlItYPmozaNQhn8sh8UG65arUX456nZKJ1lTQWS2KVAACyoJfhuYGbuBOlp3bgKTExihkLigwrIzspc3hY9mqu6ay9br//rgSY+PMxAW2RUOjHQEx1Qvz8tI2ygqkf987X8AyAlmC0062YVxlTl3DBEJ4bXbQAYX1xGQU4Zeo2/41G4kF2IBZrbOdKrb2SRc+Fyo/PV28RE/6C0cCgH8M1PSOeBHruie/xCsCixcryzHEsVhaLiiuQVwE/SMBQO8f6EntQ9EjbZWFx+7heOyWoH+8yqdcgoHV3EStGX65aXh3rGEgR3OauKnDSIkvGL5lAEellOB8vMwjwdu0gs/Al+cP6QQPHtgMn/AzI1Giqb+ImBN6DGpUAE/8m14ZUcQsTsbIGmDVCL+kz/zMxEcJvzIHQGMT/+XiElI3CnSeAafHn7/O1nef82mv7PwsN16r9398+s+Bdw/+umc/HzPl/v/P3BJ1nkNygOy8h5zs/znU9f7t2/t+1WE5cebQ0VpcCZD5gAtMzxmhMAQvplFNOSdX6YkNoWXYAfwqNbCzzlHkFL0nfrWLg5cwTwIoAodBYJ56DJSgrzHOypCgv1o/4FQAjHHIMy3GSL2SSuYZ3QB+CB6/FaEwB6wuNWBU8LxJnzINMOPTmyRBHxC+9AkXjJ3j808wLkmgoJWKavSoc3ou7GD804wH3dS/yBw/lhIxW9yaXrDcAqpYUbQY1KgEmk67nHJcGtxUzmjmJMDKZEBAa+839IRApO0qw2cvTLAkfbhHM43r+l8JowTLHWWWITJOmDcus8puW6T7uB0BoQsxSBObKkcYO1JzLhHdvLjkmMK2WNu7Z3Nfz+M427OIRnt21/O/ZBcNtJMg1I34gVdR1gDENw/0c634ECQFCQ6IBcwVySzHnBdgdg3liPEkB9AAk3B4WB0Av6xp2roUly8hc4Q+8Zf4sXlYMmo/C8KwEBB63DvAHEBXHotyJVXEBUoQoNP7GN4BLayXpyGronJPrWfAvPuTiIbiyAjbNPEa5JS/EKJUaEM5oY42yxCU3ycrEKz4fhLLoGcwJpVQHCvPey5w4l2zyXp65FdDgde9sPZBX4p7WACBuZkG5pn3OrD8JXI5vdmwva6kSYCLABYJpe8xlC0Z6LoJo786cBBBAROYa8PIdAQQMaJAECi2AIAdIBAkCvfKVr0xBTIAj918Wivu5Jl+9IKdrKRYDPs5xLdfmFvE9LRPYmRyLn1nvb8/hfp5NcDzHIWi1AEc8wHM4FyN4F/5qk8bcpXF5BmDLL+t+LCLg5l187n4EJNAmTGR0iT05lhCO8SQFCAZzl90JORbw5BHN/3IumnKJATNKgfkh9AGALD2KyDgMwsf7eA9CEz8qR1DTkgXcggsuWPzv//5vMd988yXXIPcU68B74nlrBC0HIWzHgYb5GQluYK/cwPrjIkVfv3lBgJO6Rb0X8Um/h/vjQVYab0uvA0gAGOEFykeZQTGjxFOk8QVZ1kz2uD5ljiLNlU72DcKirASYoKyJ5TuXXm0iEM3L+44m6+V8BoH97zvur/y/CcQY/vcbMREIGOUGjCwj13Md13Md/2cXX/7ftR1T/3++V/7eue6Vz3e/fG3Phnndx4/jfE8rBY5cjMAJkziu9j1dz7HOyef7n/aiIJf2Kw2Z0InxJAXQnGBFV8IVD5TRLs0nIGI9mB/n+Qx9CXdzSkv23TgNoOI98BGt2/OzynkGKGOsdIoewUvoicdyUeFNVhZri3DBa1xJaMpjwENAWUMb664MjceJbrXP6t0yMKALZRFd/ViPPC0UITJGAhcBjub9Gq5FUbeD7EUXXdTzZckZvI4PyiodaEAm4SMKuHUiy9X81w/HAid0wjdkFV7pJ03csxJg8jIenkan+7YKayDQj8G6YYbzebJeRmFgaBYa9yWxOQ7aAAAcyElEQVRNiNuO8Ctj8jqXZSYIy7okbNBv2oeFY9FwXxGmrJ3bbrut1A8rCe/R8ghf57FguSKk5950000pccXfZa856sd5P+sML+lYwaJizXM3q0cB7rpc/L//9/+K//u//0vF73aXZq0T0NxbyhnQ2TUAVhn+HUc+paDyilCcJSHUKiiENQWG21gnEBapkAJFgILT66CYct2Lc/WjJhMg4WcA1ancML8AxrvhGTHP+qy+/L5o5rkl6HAdU4Y6vV++VqPflQCTG3th4MSlx61AyED0Xl+GW0wdkTgTDbHX6zUiUjefYThmLg0VQHFTAuN2i9v3jmNZEh6Ei2u1O6+bZxyncywWmj8Xlc7tYnm02HY/BK3YnVTgZZdddqbzXMfutVJgdSXRNqrd9Sbpe3SR/adxKLo2+pHa7nNFqJSDUVlf/eZdiUhcnSwAAFErm6w9gl4qNzkjSYHrHQhYm70MXgAti8hESnYvw9xQzlk8nqvbuXIe4OEilkkNnIFwvQximUkhtyYkjTiuX6MyYPKywEnSAWHNDKSZcBX0Mkys+JIFJm5U1nzt5Z5lzs3v69kEpfmqufVMeLvhHTAY7YyFQFtlcU3zIDhkDxEKtDmxxzI/Yo1igeIFLNfacywmwW2xQVYEYVP7/TT8LabQ7gfNWf4ET7fCbtR5l2wSW6EMWndkU60s8d6AmctXPRqlJmfg1h7X6Xuiqesoumd1dDvy8/GyiIv3Ok/OJ3M8k9gblyZZWzu8N8OAdc1NLC7fr1EZMHngrHkQLFx6zGMZJL0QEXFoLvzl0LuRX7RfxOrmOjQtYGz7Cy2UaF3iSa3e2XcWgcQJGpxzJUj0CuLdPP+onJOBSeYSwLBo2v1Y9BJYuGmc7//acyyqnBXJorUIa7+Pvx+nMS8HHpxkYCKbWBlimNYpl6/5rx+EMz6RvGRtUjq5OvFXN6498sF1WCa9yC73JktZXbWuyPrn7+T/LIdkUXtnCWv+rgVicgogqbejvEioAfK9jkqBKT+s1FWgxJUgK01yQC/D5ObOEoKTozZYSTQOsTC+ZJadd24HNNxXtvjg+xYPQbdpHRY+/z8hKVjcblg84nViQXzljYYF5DvZSOJQguAxZqWAwt9JB6b81gSvGjHtd/ADwVs/8JY1rYxF5xkWpbo6oNBJ7Dwr1dzMYnm9uAU9p4xfIZJ2cqX+fcr8730lZnETWi9krucHXsBaJxt0OPvssxNI17v9ytyj9pihAJOXYQHwq3Lr0Wh7ISbCCPa6FkE0isNEyXRRHyHuIXZEcLabQAJZVwjJECafMEW/aRudApOFSpPFZ82GYyxkSgMXTS8aa7N7TMLn0wRMhK2gvrgJD4w6smbD2qUIAyWxShYDdz1Ly3XaDUBEyVpqqaWSYtTu+FbfuxZg9Lxl7t3qWs2+I3coy8p1JITwOKCBz1lKOkkAWe7zerdfs2s2+3wowORhPDg3ihoBBYMKWbslKDPWpDAn+X9HVXAThPzYfNgC7dwFzO9Ww7sJMorJsba49/phKre65yh+1wkw4SManUXfir74RNorLU+fOopDjFkpME3AhCeEBmRx2uZEjLiVXLIWKZhKRNDJOZIZXKOdss2lz1KX2SbRoNvh+SSW4WNuvEHKP/ciuxkAakKBEyAm25QocG1K9lIz2ssYGjBBWi8k8CzTRcoh91YrJmj2oq5FEEkH5urh8mrHFM2uNejPTao6EUF3abmYGPA0e29M5v1o9TpK+MlZN4N+1lG6fifARCiIYwKldn5/mp44lAxKizvGrBSYJmDy9tn6kB4uZb5dGUqWP9YoOeY8m0uKhQKfZgOIsLYonBKcuh3cbPjYNcQBqxjWFm+ExAiF6d7T+1hHwFlWMTmMNt2MoQFTflgvqL4iu7eAU7eIr0CNsNcHrVdTMj/fIH7TLviytY/RJYKLDji1soQwnCJlLj2BUozY7aQP4p0Gfc2ywGSRWjAyzSg+7XgJnyhCVefTrGZj0O826tefNmAyH9Ybi0CWnqzOMi50yiVhjJd4gmSqsaSsbWu+fkgokI0nTtXK5Vx/Xv3/rs9ayq61+u8H9T8aeQeyTFIXYCLPuUDRTQ9Hx3Qjp4YOTIjGvSX2wqSVwdbMemhHYK5BFhOg4wsd9QFcgIxCx5zc0EqQ8h9LmVYIqU3TKINvv2lfFpi45igoaFVmQbC0ARPL3SKLMSsFphGYyCCWtxZhMkElQrSzvjPleGsoRvYKU8aiezlrvF6uCT+Is3MbApduB2WetUQetJIf3V6/1XnWmPtr9yXuJHMPyEqBV2voubpJ6hgJYKLZAidaBu2h28w6LYmY3kxj2sOoD1oYhj3mmGNS+33bH7dyJ1kYFov+gCxDdTlVM+KwaNoOmCx67gT0scgJhzK0oclyjSogVaAdY1YKTCMw4R08JCtWp5GTTjqptLLrXCBB0aFIEtCy/HhyZO1lvpTlpjWU+rluFWkyQaeHXBQ86+wN/hNrjyxjLUkdl+nKu+OdxcatrzJKYu2TjgQwmSgTJhBI4BLUgKVew6h98EZ/Mxtlu8mQ4fds5RprdP4wPiMYASpfs/oJFhRgbmT6ez7aB8tQ6jltjtbV7NhhvM+g7tkOmAgR1pLyA3xQdlgwwIwrROzPyIKj7DUm/bhpBKY8p3jD9iMK3QFJJ7wFNFju5BoBbScEMWXWl+uIx7CoZLFRzjsd+FTiRW4dNGy+tQa50r2XuC0w9368QZ0aCiMBTCaEgPBSzFpxF5PJzdIJ0poY2SDqo/iHu9VCOmWQXo8HwPyzMsPEkA4++OAUQ2pkAntHx0uPV6SsjQrmxxSTPFoBEx6xsAWpaW2N6NaKNgSImhS+ctdhefmh9frOZ8A/K0rDFgCt3mUQ300zMJlzgp9M4qnQ0b7T+cefFEgZwzYmZJ1zfV166aVpZ4TcJd9xnfxY855NXSQe9aydnD+IYz0D0JVlLfsYGJNpXOWesewYGWDywCac+cs/qaiUZdCpkDHJO+20U88BxbIE7Ndx3p32o3WOugbMi5mbDX5dVeqsQ5kxzp3k0QqYMLyMKMFWykinggPo0PCki6thUagoq08jXn5zdXbcEXjLYi4TCJ+kuZhmYDKP1pYEJQovHutGCSSwKZA6RmhPRljzkPibBYVvO/3xXBJ2FLxaH52eP6jjPRcFUfq4mBMwVmPaSQr5SAETJgBEEiDEiQQPueQIg7JDkaSsGH5hAmacBoZn8gIaKZcydkxuI0Hr2Bxk9K6yfybZpdcMmPCG+KQgK6uThdPpcA3WOU2PS9mCFeszF6wwgMWNo7ceZYGma5HlDh4Ei2Oda14IoUZz1ulzjcrx0w5MeIpLT6KCLTAoKd3Mr+vgLfKN8iyJaa655kodE7Ql6uaHJSc9vZtzB32O5+ICnXPOOQvNgHXnKTtGDpg8uMmTfkir4N/FFGUH7ZmlJeCoG/U4xJlq341QIyQFRBWqiSMx+xv5trmaCE1ZQ5qQEprdLJja+4/q382AifuXAqIQshMFpsx7oqX5APjuT+mhDdJQdYwQz5RZKQvQ/7Rq4MjC4sqgVLBsaY/Oo3QRTuMGXNMOTHjFvEkwoPlrp2Y9dsNveIryYk1rCCAGA6S4vTr52WWXXVLzVNnMXIydnFvFsd5Juvy8885bzDPPPAl8bV5YdowkMJk82qe0bxqBFyIcyjBCPlffJghNoPhsnIbnBbD8sjQOiQ4EXyO3JuDlfuIW0EEDqBF8kzYaARM6aQHD3UZwDGPgSaAjExBgUaqk8uvQkfuncc8KCLO6uF4cI4Zl7jy3335cK/+MEs8GMD0eZjBvUr+1K+I67iRmUs+bLGzFuDYIxD+dDvyj5RbrDdCNysiySwKXFkW2lCG/8D9FuuwYSWDy8ISrbDXdHKSRS40u+2IWOUvLVu4EehlAK0uwqo4zwcDZe+ucntsR1YOO41gN55xzTgIxzSC7YfSq3qvb+zQDJlYLQBimIMdfhIMff1OiKBF+my/WE5egmJVnldjDupI+bAdmAWyZWd6RBWY+8fAw36l2ngKYHqeGudXNIXsozFW3wxq1RQU3vHnvdOAvYQ68Mip84jmAtcxY1hKl+vTTT095A563k+ccWWDyEhY6fyyT14/gs8XebjjPQifMBSvHEZi8o+emGYkfWQz2PQFUJr92kv0tznHooYcmZuBKAmqTNOqBCV24e8WCyiosw6IHfrQwuX/wL22ZUJPoI07IBatXmnR3QEvgSL7gwsb/QI0GSgh5V9dxzVoeGOS7BTA9SV2AwiKWoCRhhoeim2EuJS9J8uLq7WSYe3FViQWjwvueg/XGzSl2pR7V8+F1SlanY2SBKb+IiefbNYFqfCzSdguSQJf6y/eq4y9h0O6cfL9R++25uXto11Iv+bi5icQuat/JO4ppcOkxnWnmGHhSRi0w2TsJIBHi3Cu1dBjH9zW/wAavA1y8S7nw2zsCLKUEaMAlou0NweTdCUqCTfyLcCAEKC79BK4Apie5imyhVEiEyC72bvjPepXk9MxnPjO5gTu5BqXTWu/VnfjkW3X/F48A/rMmtViTF6APqNh3p1ZS7VOMPDB5WAHls846K6Vr8td74VbDJDuGj1OKJyE27kLa84unAB5xN0BVTwdamM+lZ6qFwjDjai3Wz28GJgkhsuG4wrh6612b9edNwv+AyxoAXKwpmqn+bQqCuQK1VAJgBBULjFJCcSHAzD8a+fG3tZF/l6VNANPMlLLOeDG42BWR1nswZj668X/mAB9LDhB37ISPzTtPkOdwnWEMfEQmWZe6W2gnJ+SiCwXlqtcxFsBkYRKyUjVZDLTJdhNpwvjyEUx7jG5N7l4J3K/zMQJGtG8Q/y1wwti11iCa0JpVl/NdS5v3v3PHfeQFoDMIQYwO3QiEcaSD+TO3fqwFCgl+Nvf5b9aVOhmgxKriZbCtCqBSbC5BhMuQlcXr4HzXKsMbAUwzc415YOHaUFC4QNypG3eVebJFu6QYc1l2WAu2dOmnVVz23vk4sshz62ghlnTYYYclgPU5+vQ6xgKYvCSgESTmmmNGc2UQTK0G4YVxxF56aZLY6h5VfkeIABpxB2mirAfCh7CpZQauBm3naTA0u3EHZTS2GM8999xUBsCPPQkuvH7xDr4AMgQVoEIb1qQYFbAiOAEUa5rlpRRBTFIyhnUh1d73XIS0XecTvNacnwCmxjOllk2ClZABxRn9Oxk8ILLWABR6txvmmcyzprutpWp3j3bfA1C8ohSHHBb7Fw8tG/9vd/38/dgAkwdGFK14FJ9CaJpfrUDOL5V/55RMhV6Cx2W0w3zuKP8mLLh0gLTtQlhOBHemRQZxoIxxAHQnGtkovrsYSgYmglW2pcUQP+VowF3kR2xCo00xAQ1K1fzttddeyQUjA5ZrUDyL8FNrQwG0hYF6OsJzUtZQP3icdcClvPzyy6dEnE4VQPNAlvHslHF/Wd/WufOq7oTv3p6RHNVaiRuTB0vj40F4LsYKmDATASXOtMACC6T2Hq2YgfYoi011NfcfrXJSBvAhNHbdddekdVkgtVoXZvHOdsplMVbNyP2msyC/VHg++dlmm62YffbZ46dLGjz1qU8t8g86omft//6up68CbuspgOlJzkYLaxBoS0yiLHYyCHWuaXWa5Fq7Qblk9epy0o3rsN31W31PzkrW4IXRvED3E9Y4OTSIMXbABFy4HKA2TU5KYjNfK6IRyHygukfTNiZpAB9mNU1XTMk7YiD08O5cMsxs8SjFyjS8QTHSoOlq3i0Emj4XSPxURwOlF1xH48o7g+RNawovLrPMMklx6kTGADLxYmsTb7cb1rXEhzKZye2uVfZ7yq7nlHGnaQFFWHwLkA5S0R87YEJQmpt4Ex8nbYWrqpkGwaeuKawaoLytQdlJGYfjMCv3DNembuPcXeIL6OE7cYYDDzwwbV+v7mLc3THeKX6qpQE3ToBSY2mALoS0LjNivkCqLK2s22233TbtIdeu7ZprimNxsVI4BzlYgkBHrPq2225LCQ4bbrhhcvFyB/tu0JbzWAJTnhQVxkxhnbhpKgRW/WBBaN3BukLkQRO0/v5V/U+jtY+VxpA0MIye6UHjAeBibRbDuMebqqJp3CcoUIYC1hO3HGCSCMHtnOO9rc4XH3U8a4QV1GpQxnl/JEqUcfu1ular7zy3BCvPRp6IgXkvtZODBsTa5xprYFKnIbay7LLLpiwR1lH9YDnwA/ONHnvssU8I6/rjxv1/IASM7IKrdksfLpYTTcvCocmhgX56tJ4YQYGgQH8okC0MSSOUP7U8tfHeZnexPnkzWE0UxlbDsVdeeWVy+Q3ShQZ8lBqolyQvZMC6N2Asawm2eo+y3401MEF3fchsp46ImpnWMwRiisVstdVWhY687TL5yhJuFI8DwsxvBW8sSUzvfTEVi9JeMOJt6py4BWIEBYIC/aMAhU/nbu3DWDftAERcibIsJKFTQrMB+FhJ0vrFtPrt9cnAChyPP/74BK7AkjxVTkCG9vuezd41fz7WwOQlCF0MwdzM8SaAVU9IGV3qMQTPm8WjMlHG/TfLSaxpzTXXTKCN4TA0F0NtvIklVaUWNO50jecPCrSiABcYa0PnlfPOOy/VjLU6nrLoOLJL2n6zwRuiQFprquyeb3Zsp5+ThZRUHhWJDUIeusaIx5MZwxpjD0wIB5z4Xpmf/LUmvN7Hqxhus802S5lrGGjSB23ssssuKxZbbLEERjm2BMRzvEnsKeJNk84J8X5VUoDHQnmGLNl2e4Rxm2ktxf2ntKPZ4AWS7EWG9VOpZtFp18aDIgWcpccNCZCGrbBOBDAhIrChfXDp8fXWB+qYpDJnFJ0qFKu3qJoxxbh+TrNiISnek62nGFesDdOphQDiOgBbSMNmwnGlcTx3UKCeAhQ9lg2X+eGHH96y44wYuUxZjU9ZWs2GNlPKYgBUP9Yq2QfgdJBRJKtIX1Yvq2wUQAkdJgKY8oTy6/KRrrrqqimtUiPLPMSZJEpoAcKfOw2WAnDim1YYB5ABEc2LlgSwaEma47ZLVc00jN9BgaBAawoQ+pRkoQMWiM0+G4UWXMVxasQkK+nC0WgAIgplmf6gjc6v/4wczFYSmaCMRkNYn/E8jcqYKGAiiGkr2vBssskmyW9ba/raglvcRVNL1sS0DNajVjNSPwU1pbYqzKXRoYfFQxubdCtyWuY73nO4FABE1pduGZKQCP1aOZSfjnKsBtPeThTF+mE9smDIrXoPUP2x7f4HcBR1bab22muvFAejqA6qpVC752n3/UQBk5elEWhaaf8mhbX65WWBK84iviJzRp7+NA0MbjM6VpLGkx/96EeTpURrUn2uzUl9XG6a6BPvGhToNwXEa7jphBYa1R5Zb7rCL7TQQikeXO+m873EBL0wdbvpdpB/FM/cBUZyhr8bPVO39+j3eRMHTCaTEJbzLwCp2BRYmXSTrG2PmIu9a6ZpoAuftuwbYESTo4lxEejztcUWWyQQb5fiOk00i3cNCvRCAS5yXf6FDzQdrg8fAAyW0KKLLpoSEOq/J8c0EWB9detm4y603Yn6RY1XKeVCGaynfmf49UKr+nMnDpi8IBCiYdjx1n5M/LcSHgAUQFpiiSXSHk3dTnY9Ecflf3QBTuoT1E7IUtStPaeW544R9ZrbuLxfPGdQYJQokF11rCa1lmLg9UNnGoBh7VmbeWQ3HmvJednrk79v95uCKbGJ1cZLJN7FcpMGPg5ybyKBKU8a/y3hKwONxmJCdIfQjFC7jUadIvK5k/ybWQ+gWU0bbLBBSgqR4kqzs0cPTS1GUCAo0DsFuMvOOeecpCBLQhJrqgUZYAQ0dGqpda2xZijX1mknQEKptL7FtezgLa7MQyIT171q79372w3uChMNTCZUJ1w+VbtN2kuE5WTCNt9885bV1oMj+fCvjDlZjzL0uPHUUUi1F2tS7CdTKEZQICjQOwUAjFIVTVCVbOhpya2eByXQpp+HHHLITNmxAEw2HldeJ4qiY6WWAzty77TTTkvdX1hQ4wJKaDPRwGQi+FLFm9Q3nXLKKUkLYRXYol2LnmkdNCvALUtHUbIUe/7nlVdeOWUTAfGIN00rd8R794sCZBAgUq/EcwMoKIUZJFg3BxxwQMqUq3X1abUmU08Mqsw6dE3JXWJa7rPNNtukpgNAsVFGYL/eb1DXmWhgQjQai9RwxbW0lre97W1pfxEp5XvuuWcSzplJBkXkUb4uPzirUuooXzim5tI76aSTUrLIKAdIR5mu8WxBgVoKyA4+8sgj0xrjqZCUYPhtre20007JmvIZpVGxq56XlMdW8sn61OVFUpNO5VoKKQPR1aXdubXPN2p/TzwwZYLTJlgG6na09vA3t5WMlzIaSb7OJP72/rlV0ZJLLlnMN998xYILLljcfPPNyfU5ie8c7xQUqJoCXOQyhSnJYkAAh6Vz0UUXpaxYrjsjJ00AnGagBLxYQo4BYDxCfiRLTEKD5qkBJpNIq2ARaMNBexH4z5vnVc2ko3Q/zG8xcCUoCpx//vmLpz3tacm9ZzGF1TRKsxXPMq4U4LmxjbqCWrEjoMSq4bIT62VJGT5Xc6jGCQA1GhIZHnjggRQrl+DAHSh+JcZUG8NqdO44fDY1wGQyZL3ccMMNKY7CdSWVHED1WlU9DhPd7hmBE4bmQuAKYDHNOeecycXH2owRFAgK9EYBnglgI4wg4UGXGgqhPnky54CRdagbg27j4k+1FpO/XYOX5/zzz09xclnH11xzTbLAKJC1x/f2tMM9e6qAifZBawFGSy+9dMFttfbaa6dsmGaayXCnp/q7owPG1zVDRbriPxlD6BaWU/XzEXecLAoAG+42pRqnnnpqWlf33XdfKmtRcwR4JGfdeeedM4GMzyVysar233//1CRAXEoZjFqoSRtTBUwmj3C1eZ6slac//enFXHPNlWoFaC4xHqcArYt1KcNn4YUXTq4HNRiTuABizoMCVVKA4sfdJvFKWIE7Tgs1bcJsPyFmZBvz2mJb56i5ZBlJUNK5hktQ6cukKtRTB0zZHNbyXbBwjjnmSJrLJAQM+7nAALhMopNPPjltXb/88sun1PKcTdTPe8W1ggLTRAFgIhNWyYokLEBkh207I4jz2keNEkhWWYdaCu2zzz6pLknmnb6WrCfXmRTXXf38Tx0wZQKIKwk6ErhSLHUc154nfp6kwS233JIKbxXgSobQIp/rIEZQICjQGwW4xi+99NIkfxS3211b4tHdd9+dNjoFTHrtsZKAlu91kPj2t7/9RKp5b08w2mdPLTCZFhOvC4SO2wpLZbfEz8w04DpQQb7IIoukDcX+f3t3dNowDEUBdILgSb2EF/EK3sHjeIlyBQ9CaPpRQ3mNTiAo/SiII5LrSM8vCXMPAgTuC9RP9GTnJp8/qRJOk+m0IsoN7tlKz2dT+lqmojjnU5+6dfeqOXUwpQotX4nTYTu9pDzfG6RiKFsOs/YXfH3j+JvAXYGcNR3HMc5xc96dHp4pbkgRRMrHs5uzbds4E8+W3qdu233nOHUwBSRXILlvIFcjnj8bxClvEA8CBO4L5ML4uq7RxzP3Dj4ejxFO2bVJxV2q9VIM8R9bCt3VmT6Y7gL6fwIECPxWIKFznucoH1+WZWzpres6GkznQnCmb0nPhoLpWcNrAgQI/KFAgicBlN9Kyr1N+76PWzVmDaSiF0wlYSRAgACBFgKCqcUymAQBAgQIlIBgKgkjAQIECLQQEEwtlsEkCBAgQKAEBFNJGAkQIECghYBgarEMJkGAAAECJSCYSsJIgAABAi0EBFOLZTAJAgQIECgBwVQSRgIECBBoISCYWiyDSRAgQIBACQimkjASIECAQAsBwdRiGUyCAAECBErgC27vVETOwNH6AAAAAElFTkSuQmCC[/img]
Explain how you know.
Shade one base in the picture.
Draw a cross section of the prism parallel to the base.
A box of chocolates is a prism with a base in the shape of a heart and a height of 2 inches. Here are the measurements of the base.
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[/img][br][br][size=150]To calculate the volume of the box, three different students have each drawn line segments showing how they plan on finding the area of the heart-shaped base.[br][br][img]data:image/png;base64,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[/img][br][br][size=100]For each student’s plan, describe the shapes the student must find the area of and the operations they must use to calculate the total area. [/size][/size]
Although all three methods could work, one of them requires measurements that are not provided. Which one is it?
Between you and your partner, decide which of you will use which of the remaining two methods. 
Using the quadrilaterals and triangles drawn in your selected plan, find the area of the base.
Trade with a partner and check each other’s work. If you disagree, work to reach an agreement. [br][br]Return their work. Calculate the volume of the box of chocolates.
The box has 30 pieces of chocolate in it, each with a volume of 1 in[sup]3[/sup]. If all the chocolates melt into a solid layer across the bottom of the box, what will be the height of the layer?
A house-shaped prism is created by attaching a triangular prism on top of a rectangular prism. Draw the base of this prism and label its dimensions.
What is the area of the base? Explain or show your reasoning.
What is the volume of the prism?

IM 7.7.13 Practice: Decomposing Bases for Area

You find a crystal in the shape of a prism.
Find the volume of the crystal.
The point [math]B[/math] is directly underneath point [math]E[/math], and the following lengths are known:[br][list][*]From [math]A[/math] to [math]B[/math]: 2 mm[/*][*]From [math]B[/math] to [math]C[/math]: 3 mm[/*][*]From [math]A[/math] to [math]F[/math]: 6 mm[/*][*]From [math]B[/math] to [math]E[/math]: 10 mm[/*][*]From [math]C[/math] to [math]D[/math]: 7 mm[/*][*]From [math]A[/math] to [math]G[/math]: 4 mm[/*][/list]
A rectangular prism with dimensions 5 inches by 13 inches by 10 inches was cut to leave a piece as shown in the image.
What is the volume of this piece?
What is the volume of the other piece not pictured?
A triangle has one side that is 7 cm long and another side that is 3 cm long. Sketch this triangle and label your sketch with the given measures. (If you are stuck, use the segments given)
Draw one more triangle with these measures that is not identical to your first triangle.
Explain how you can tell the triangles in the last two applets are not identical.
Select [b]all [/b]equations that represent a relationship between angles in the figure.[br][img]data:image/png;base64,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[/img]
A mixture of punch contains 1 quart of lemonade, 2 cups of grape juice, 4 tablespoons of honey, and [math]\frac{1}{2}[/math] gallon of sparkling water. Find the percentage of the punch mixture that comes from each ingredient. Round your answers to the nearest tenth of a percent. (Hint: 1 cup = 16 tablespoons)

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