IM 6.1.3 Lesson: Reasoning to Find Area

Is the area of Figure A greater than, less than, or equal to the area of the shaded region in Figure B? Explain your reasoning.[br][img]data:image/png;base64,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[/img][br]
Each grid square is 1 square unit. Find the area, in square units, of each shaded region without counting every square. Explain your reasoning. [br][br]If you wish, you can use the diagrams in the app below to help illustrate and support your explanations.
Rearrange the triangles from Figure C so they fit inside Figure D.
Find the area of the shaded region(s) of each figure. Explain your reasoning.[br]If you wish, you can use the diagrams in the app below to help illustrate and support your explanations. [br][br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAArMAAADICAYAAAD7nWkwAAAgAElEQVR4Aey9hVcc27Y9/P6a3/fsvntODHfXkOAECBrcNRB3d3d3d3eBhLgRdyOek5Mcu3d+Y66mOE0jgQBNd7NrjBrdXd3VVbW2zb32XHP9B9SmLKAsoCygLKAsoCygLKAsoCxgphb4DzO9b3XbygLKAsoCygLKAsoCygLKAsoCUGBWVQJlAWUBZQFlAWUBZQFlAWUBs7WAArNmW3TqxpUFlAWUBZQFlAWUBZQFlAUUmFV1QFlAWUBZQFlAWUBZQFlAWcBsLaDArNkWnbpxZQHLtsC///1v/Pbbb/jw4QNevHiBJ0+eyF5TU4MvX76A36vNeBb49ddf8fHjR7H9n3/+abwLqyspC1iYBX7//Xd8+vQJL1++rNtfvXyJz58+g9+prfUWUGC29TZTZygLKAsYwQL/+te/8OnjJ1RVVWHUiBFIik9AYlwc5s6eg3v37kmnz980tRHscudv9IGvdlx7bfR7g3OaukZXOE47/fHHH2LzzZs24crly/j6669d4dHVMyoLdIgFCGI3rt+ABfPmY/HCRViyaDGWLl4ibYuTRrW13gIKzLbeZuoMZQFlASNYgN6/yspKpKWkYOrkydi+bRvWr12H+Nj+GDFsON6+eSMgq6lb+euvv8Sz++3btzrgS+DK4wRn/H96Qb5+/SqfNVDLY7/xnN9+EyDc1P93leO01Zs3bzBz+nR4e3hi9cqV4qHtKs+vnlNZoL0tcP7cOUSFhyMlKRmlRcUYMmgwhg4ajDOnT0u/097X6wr/p8BsVyhl9YzKAmZoAYLLt2/fgh0/l+QISn/55ResW7sWsf2icfPGDQGrho9GsEpqwqOHD3HyxAkc2L8f58+dx+tXr/Hrly+4dfMWKioqcPfu3drvD6Dq/Hk8fvQIz54+lfc859TJk3j+7Bm6sqeEtqTtd27fIZ7xuJhYrFi2TOxraHd+ZplxcvD69Ws8e/ZMaCHPnz2XcuPxt2/eCjB+/eoVnj59iiePH+PF8+f4+OGDHCed5PHjx3j+/Dnev38vEw99r3pj11THjGcBli8ngX/8/nvdhJDH1NY6Cxw8cACx0dG4dPGSTMrZr3355YsAWba5xjZOKj9//gzSETTKFSf0PJd0LLYtenz5/dMnT6V9vXr5Cu/fvcObmpq69sa2R5pWU9dp7NrmcKxNYJbGZQdFQ1qaYcyh8NQ9Kgs0ZwG2SbZNdna/fNbb2XF++VLPI9nc/5jKd7Lc/fvvOLj/gACrqvNVDcCsBqbOnD6D3OxshIeEICw4BIlx8Vi7ejXevXuH2TNnITE+HqXFxYgMC0do32D07R2E+XPnYvLEiegXEYmQPn0R2rcvJowfL6CsqwIqAvlrV68iJioKC+fNx6CBZVi5fHmTYJbjAUHq/LnzkJGWhv7RMSgpKkZlRYUMquPGjMW8uXNlWTU5MVG+Hz5kKC5fvoxdO3ehqKBAJip85WSC11djS+e2QI1m8vXXr+KR5wSz5vVr2d+9fSuTHa5kqHJqeTmRrsMJ+YP798Wm7KeJp9h/NdbX8Pinjx9x5PARlA8cKOemDkjBqpWrZOJYebYCwwYPwb69e6WNctKZnZGJjRs24EJVFSaOH19H0yKlgRP9b1+/tvyGzeCXPwxmaVx6LQ4eOCiucS5DqU1ZQFnAdCxAj9qlixdlaX7dmjXQ9vXr1mHH9u04cfw47t+/L2DXdO666TvhYElQvnzpMqQNSBGvrWEgEgcFgqnC/HyUlZaK95XejIcPH+LlixcyIEyaMAEujo6YN2eOLvjixQsMKR8Efx9fZGVk4sb16+AgvXvXLgHDXPrjdRobZJq+W/P+hs/KPp6D7fgxYzF75kyxC+kdq1asaBLMsj6NHD5cJg/LlizF/n37hAt46+ZNvHv7DgW5eTJRKCkswt49e7Bi2XL0j4lBcFAQ0lNSxeu7b89eFOUXYEBiknjLCZDV1jkWYD0g7YZt6tjRYzJJYVth+RTm5WPCuPFYu3oNLl64KKC2c+7S/K66bOlSRIVH4Pix4zh75oxMGLmSwZWjxiYFXJU6dPCgTLwnjhsvfdOmjRtx+OAhsfuxI0dlQk4QS7C6Z9duDC4fhD6BvREREopRw0dg967dmDdnrtC0Fs5fIBN7tnFL2X4IzNIAnDFz5uzn5Y3g3kE4dvSo4pdZSq1Qz2ERFqD3hMCtV/ce8HJzl46NHkh2cPRW9o+ORnFhoczm6b39y4Qj1NnnMJKewUfFBYXYsH59HQ9Wv7D4HBVnz0qHrYFQnstBmYMEge3kiZOk46+urhZvCAeKDevWy0BBkM8BhaD44YOHSE9NxZbNm+V3XQnMEryTqkE7jxg2TBwXBKoMxGsMzGrgl+CVnOaKsxVCHaAdufP/uNxJbzknIvSq0+70lHNSYW9tg80bN9adc/TIEST0j8OJEyfMZrKlXw8t4b02ztMzP3rkKESEhiIsOBi5WdkoH1gmfQc97+EhoVi5fIUqp1YU+prVq6V+ky/Lid2gsjLMmDZdVijYJvQ3ti16w/Nz88BVjCePn9StiGur42wvvf39sXjRIuknOQFkX8kyGzp4MO7fuyftjW16zKjRGFRWjlevXjUKnPWvbU7vfwjM0oDkXcyaMRO9unWHnbUNZs2YIQC3K3X45lTQ6l67ngVevniJcaPHoNs/f5LgKYKRRw8fibeSnR8DDggiuKROzxnBhSluHFRJi7h39y6y0jOECsCOuLGNgJfgMz8nF9W3btX7Cf+HYHbalCmIieonnEz+gJ6nHdu2IzaqHy5UXagDX1x5ysvOxqYNG+U3XaVv43PS3uQqE3ju3bNX7Eb7M1Bl6eLFoDyavgeJ53BcYGR2Xk4O3r97L5/1C+DD+/cChAiIyV/mOVzq3Lp5Mzxc3XD1yhUBvTyH77MyMsR7yzJTm/EtwP7g7p074kF0d3EV0MVVC7Y98pkJushvPnzokEjnMWBSbS2zwJuaN0K9uX37tqyO7d65C8kJicjLzhHVEG0Czn9jO7l+7ZpMEhkAyz5Of2P/Rc9scFAfXLhwoY6qcP/efWm/W7dskfbK/+HEku13YHGJlJnhypb+/5rb+x8Cs0T9XL6k4fv07o3U5AGyk8yv38GZmzHU/SoLWJIFCGa5RNyzWzecPnWqDqSxA2OnRi8mPS4uDo6y3Pv50yeTe3x26t++fhPeF70Xw4YMEQ5rU/0MqRUEn/m5uRLopf9A+mCWfDXKfnGrA7P9onHxggKzf/7xBx4+eCCAv6igEIcOHgI5yKRdDEhKwqjhwyWgjt4iDpDcaFuCWdIRBpeVi1eXn/U3DcxOGDdOwFAdmN2yBZ5u7kJj0MqVYJacP1IRFJjVt6Lx3jMIb9SIkXCwsZVlagYWsa2wjFje3Pme/QlftbpgvDs03yvp2472o9TdqVOnEBEaJsCUbefftRQA2pWcc/L+d+3Y2YDOoYFZOiX0J/B0XnAyynNIA+X/cMKxbMkSBWZZdVhp6areunmLLC9MnzoV5H9wVrBzxw4lK2G+7UvduYVZQMDs2LHo1b07Ks6cqfN68THZsbET5bK6i6MT2I4JBE1pY4dPL8T169fFi0zKBDmc9BqyA+f9Gw6gpD+dOXVavBhnz5yV39LDxE6cAJ7PSM+sgNna51Vgtn6p067nKioRHRmFjNQ0ENByOTQtJRW9/QPEk08OHj21mv35yrGBXh86OejVptODxzXgQ28el6jJs/zw/oN8J57ZOjB7Q/6Dd6PAbP0yMeYnrSw5ASYlKTw4RDyDnORo5W3M+7HEa7GNSf9VS4FiH8WJNPslroTo9220+c2bN4WWsGL5cgGm2uSBbYvn0jMbKmC2us5cCszWmaLxNxwQKJ8ypLxciMUcaMiPSkpIlFkAvT00sNqUBZQFOtcChp5Zdnp//vGneND4nh4vckU93dywds0aAX6de8d6V68NPOFSWUJcPMpLS3Hl8hXUvK6RJTMucfL+2enrb/RoMFiFq0WzZ8wUqS0ui9KLSGBMCagZ06YJ2NU80QSz9F4weOLyxUt1HmxKRjFgacumTV2KZsD+m0CUMj8MSqFcGXdGRZNjTe8rJxUaWNXsz0GXS86UHLpwvkqoBCwjTiA4brAMSEGYOH6COET4e9bDbVu2wtvDQ6TWOEhzI08zJzNL+NzKM6tZ2DivLBdO/hYtWAg7K2ssXrBQys44V7f8q9C+xEl0CrIPYv0mbWfzps0ygaTkINsgf8eNr/xNTmam8NcfPHgg5/I/OLHnd4xZIp/5dvXtOgOyjZLzTwoDJbykXH//HcuXLpXgWAbEGvafdSeb4ZtW0wxYAFevXJXI32FDhspyETu90SNHwtXJWWYXHBzUpiygLNC5FtDnzFI3laCOy03UAOWs/eiRo8hKT5flK0q10PNiKhs7XnbU9OLRc8zlMko8lZUORHnpQAwfOgxLlywRQKV/zzyPwInPS34tARGDVcpKSgW40yM4b85cpKem1YF3AuCD+/eLgDk5gfxMUEV7UQZn144dcoz/3VU2PittoL8/ffIEY0aOwppVq0DKQGP2YJ2bMmmy8I+Z3YhZjmhvRmxzwGbw3pRJk2RiIWX17Rt2bt+OAF8/WSLVwCzLgbxnlgsHbbUZzwIEUmx7g8vLYdvLSjLwqQlF+9ifdZ6TwIULFmDOrFmSgITqMpQAjIuNxaomEpIQdB45fBgpSUkyGVy3Zq2siPOVbe7EsePCbWZmRG2jggsBMOW6OPnntYnNGKzHeAnGPXVZMEtjcIbO6FPK2FAagh0/C2fLps0SMc1MPdRDU5uygLJA51qAndyYUaPwj//6bwGDQwcPERBIPUJK61DNgMu+5CWanJ5nbcfLICRSmpj9i5QIivdz37N7N86ePSv9j6GV2U9xMCYgYnQ96U/Hjx0DwRg9gTdu3JBkCey7uHHw5ncnjp+ok6vhf9Am5yor8ejRo3qeEsPrdZXP9GyzHKgWQTs2ttGm9IxT35KgduzoMVgwbx7u3LkjZUIZJ8oGaedzMOXyKvV9yclkWXAjX5ODLstQOUcas3THHeOEguCVk0FOJBmkRIUPtbWPBWhf9mtMX8v+meoC1GWm9BadDVq/pH81rU8j9YM6zTxnyuTJ4pHlygcDeBmEz9UPbWMSBUrfcZWDfRk3XvvUiZMSJMsy1tqbdo45v7bYM0tj0sjXrl0TzhSFxdmp0ZD01nIJKtDPHwn9+8tgwd+rTVlAWaDzLCBgduQo/O9//peoFjDIxtvdA17uHvBwcZWBKjMtXTpRtuHGOtHOu3t1ZVOzAAc+LfNTc4Mg+34OmnRycFJBTzl/z50glvXs3//6ewmVgJa/5TnaxvcEsfJbNZZoZjHKK23P5e+U5GQJzONERANDRrmBLnARDU+xfXBnu2D7+B5u4vdsFywPnse2w/NYZvwPfU8rj7PtsQ3xPTeez99o17MkU7cYzNJYnJkzlSQDSny9vEWaa/HChcKtmTF1mgiMO9nZY9OGDWKw7xWMJRlSPYuygKlZgGCWGZd6/PyzeCY5E9c6QX7HVK8M1mFQT1PLW6b2TOp+OtcC7NNb2q9rv9X/vXZM/ykaO8bvmzquf6563/4WIPAhtYMUHUc7e+EyK6pH+9tZq9/aa0uvoP1ee9XOM/zM4y09pv2HOb+2GMxyNkDhXfJk7aythWZAAXaqGHCnV5ZagVbdewgfg5Gr2mzAnA2k7l1ZwFwtQMA6vgk1A7ZNtmkuW3GVJSggUJZ22fmpTVlAWaDrWoB9Az13lOWytbLGgf0HJCNe17WIenJzsECLwCwHOLq0STKOj42VNIOMciWhX9sZBHb3zl3h5vXt3VvI/Poub3MwhrpHZQFLskBzYJbPyXZ96+Yt5GRlwaaXlQR2qgmoJdUA9SzKAq23APsFrsSS3+xs7yCg9smTJ3JMTXZbb091hnEs0CIwS1BKYvL8uXMRFBCAXTt34rdv36Rys9Jz52+EhrBmLQJ9/TB96jSZ3RnnMdRVlAWUBQwt0ByY1QYsBjgxGxYDPe7q6YYa/pf6rCygLNB1LMD+4fKly4iOioKLo6NE0pNH+y89XnPXsYZ6UnOwQIvA7JdffgFlHuJjar2yT581SiHg0sTlS5dE4oZiy9RpNIZ3lg2PJGcGEXCnd0nNIM2h+ql77EgLEMwymvzn//s/7N29W6LMXzx/IXSCx48eiRD32NGj4e3hiYElJaLB2pH309R/s73Wtd9fv+Krme7kI2u7uT6Dxdz3168S/EJHi9p+zAIMCqUDi6lsqdtMLVMqVbx7+1YCvxn8zeh5Orq0YKQfu1LbzmIZM9CJ96B2y7cB+1jiPMOtRWCW/FcGi3i6umHm9OnicW0MLBK4Us+MMisUYmf6Q/LyOnrjdZma8nZ1Ne7cviPqCpYYrdfRdlT/b1kWoJ7sxPHj0fPnbpLBaerkKZg2ZSr4SpmuoMBA0YZmsgDK7xijrTZmYQ5EHBQ5YX748BEePnrccOdxbX/UxG8aO89Yxx4+BMXMqd/Lne+5yzOZ4v0ayy4dch29utBYfXn4CI8fP5aEDxz4FHWmsVb3/WO0G8X2meiCSih+3j4iIUUVI67i3L1zR2TvZs2YKXWeY25nbAxOYyKn+/cf4N79+7gnr3yvt9+7j3vc9Y+p96Zpj++UFftVyiUabi0Cs6QPrFm1WrJGsCI3BmT5xzzOAZG/YQpEapyxM+nojSidiRyYfpHLpdS61bTVmrrXjr4n9f/KAp1tAbZb8t6S4hOE507virZnpKVJAoLFixbJoETvRme0FV6TmWjGjx0HHy8f+PkFwi8gyGDvDV/fAPj6+td+39vge8PfG/+zr48fPN09pf9hICwHfy93T/h4+8LPn/drevfc0M7Gt9sP3YN/IHx8/ODrFwA//0bqi38gAgJ6I75/nEhJ0uuvth+zAPsFXT+yWkBtWHAI3J1d4OLgCFcnJzAInAlNCDA6azLMALWwkDA4ObnA0dkVTi4eDXYHR2c4ODjDycW9wXeN/V4da2hDY9jE0dkNDo4ucJCydDMoK3c4urjB2dkVOVnZDSp0i8AsPSdcXuDSJN34zW2czVECiN4JBoUZoyMhYK44cxbBfUPxc08bOLp6Ii4+CatWrsLTJ09FZkQtNzVXauo7S7QA2x6zWFFQ++YNvf3mTVnFeP7smUw2jUEFasq+7C+YtSYtLR0/WdkhIGcQ+pSMrr8Xj4J3ch6cgqMRmDcEQUUj639v+Htjfi4ehd4Fw+GdlIN//OOfsLO2kQjwnt264x///b+wdveDZ1wG/DJK0Tt/GPoUGzybMe/VQq5FOzqHx8EjNk1nU4Pn4vcuwdFwcnTC8WPHZQm6qfqnjn/fAmyjHGMJWCsrKnBw/wHJKsWEJGdOnxbpLn7fWWMsx3kXFzf4JOehb9l4hA2f3mB3Do+Hb3oJQodOa/BdY79Xxxra0Bg26VM6Fva9IxBUPBrBgybWK6vQYdPQt2wC7P2CZTJrWHNbBGYNTzK1z2xIZ0+fQUh4FJzC4hA2YiZsPP1h5+CMvNx8XLp0WdLuEpR3VoMzNZup+1EWMAULcKDkcmVqeiasPANRcPAGyiqe1dsHnn2CtLVHEDx4MoqO3Ebp6cf1vjf8vTE/DzzzBIWHqxE6ZCp6dO+JaVOnSdrcmH794GBrh549reHVPx0Dlu5C7u6LKDp6B6WnHoLPZMz7tKRrFR+7i8hx8xE3ZyOKj99rYEceCxk0EQ4OTjh65Bh++/abKVR1dQ8dZIGVK1bAxc0TifO3SPsqP/cShnvI0KlIWXVA6orhd+pzQ3t1lk3Y//vnDEb+gesoOXG/XjmWVT5H0dHb8EkpgLdfQIPaZFFgNiwqBh4J2TJYZG46KbN2GzdvQfE66sE18dJyAFWbsoCyQOdbQAOzaemZsPYOksFo8IUa6O+Dzr9CxsYTCB02HSUnHqD83It63+v/1tjv2cHy3uy9e4NBr5cuXpLVK0oWbtu6Dfm5eXBzdUMvOyfxLsfOWI28vVdQeuYxBlW9xiCDZzX2/Zvj9UpPP0LUxMVIWLBVJjb6z0B7crITNmSqDsweVWC281t5x96BgFl3LyQt3CYASL8+aO9Dh09H6ppDYF+iHVOv9ftZU7BH4ZFqBOQNQ+Ghmw3bdtVrKV/ftCL4+AU2qFSWBWb7xcIrOU8GO3oiCg/fkg7POyELju7eiItLwJrVaySauzOXRRqUgjqgLNBFLfA3mM0SMEuv2+CLb+rtBH0Zm04idPgMlJx8gPLzL+t9b/h7Y33mffF+gkrGwNHVQ7KtkV/IZ+L+7etXPHr4UIJkUpIHwN7BCXbuPvBOzEHC/M0CauV5KmvBucFzG+s5zO06A08/1oHZhdtAz7jh/fNY2FCCWWccVWDW4nuWOjC7aJu0R8P6wM9hw2cgbc1hDKp61aC+NPZ7dax+H2wse3DlLSB/mGA3tnP963KiSm+tb1pxVwKzusGOD093OUFt5Nj5sHL3hb2TK7KzclBVVYV3b98Jn4oDT2cEv1h8L6MeUFngOxYwZzBbVvEUWVvOwCEgBAwAu37teoMYAfYrDFC9cf06QvsGI6xvMBztHWBl6wDfAXlIXXUABQeug95GepwJkPU7cPW+4aCqwOx3GlUX+1qB2YZtxFz7DQVmazmzYXWeWT3PDQHt+Vcyg8/cfFqoB7YefvDy9MLUKVNx5fJlkRrjoKo2ZQFlAeNawJzBLPmvkWPmwtrWQeTONI1rfQsSzHIVaMXy5Vi1YgWePX0m9IOC/AK4ubqjl71zLf1gDfL3XxUurVAPlJe2SVCvwKx+DVPvFZhVYJatwEJpBnpgtnZQoMeD/DZyMZKX7IR3YjacPX0R2z8eq1asxJPHj8HkEMpLqzpHZQHjWUADs6lpGejl4Y/8fVfFS0lPZd1+8qHw3YKHTDUNmkHtik/urguw8wlCgH8gLlRdaHRSzKBTUg2o78sU4FSYIOilMsye3XtEYsbDwwvOPoHSJ+noB5d1z6noB40CWnJioyYuQtycDSg6Uv13PamtMzwWXDYeDvaOOHrkqAoAM15z7pQrEcw6u3ogfs563SrHqYcSN8NAS21nZHzq6oOKZmDik2TxzOYORd6eSyg8dKuu/FiOpGRxwk/lGG9f/wZ1rcuA2Tq3+4WaWlB7CxGj58DG3Q+29k7Iy8tHVdUFEW+n+LNSPWhQV9QBZYF2t0AdmE1NRw9nL6RvOA6CRP09Z2cVEhdtR/DgKQJcJIijEztljSsbNmw6unXriQFJyTh/7hze1NRI8Bf1Ntl/0CvLLEmUMNqwfoNIFmoG5HeURCPHlsllEvrHwdnJGdZ2jvAdkI+UlfuQv/8aSk89Qnmloh/U9d8X38gqW/SUZYieshxZ2yrq1RXWG1I/eucNhb29gwKzWoWz4FcBsy5u6Dd+kfQfOTvOw3Anrz1t3RFF4+nEflO/DTf1njETgfnDkbHhBLiSrl+O2dvPIX3dUbhHp8DL269Bje56YJaFeaFGZmiUx8naeha9C0fAxt0H7u6eIt5O6gGXBjngqE1ZQFmg4yyggdmU1HT8ZO0gwVQM9DLcQ4ZNF0+c8EqpANCJnTLvIX3jCTj4BiHA1w/LlizFzOkzMG/OXOzds0c0uSW9J3V+X77E9KnTUH2rulE+LZ+f4JfZ2nbu2CHJZoR+YOcMr6QcxE5fLaB24NmnOuWDTnzuzrS5/rUZB5G+/riujgyb3qCu9B00Ca4R8bC3U2C241qu6fyzBma9EnPQZ+B4keakPKf+Hj56jsj+KQqPaVMSGLgfP3cTwkbOknatX4YcE/qWT4R9QKgCs/odIt8PuvBadOeEerB0F3yScuHo5oXIqGgsW7ZMqAdMlae8tKbTcak7sSwLaGBWaAbufqLFyojVxnYdoOvcACmdV/ahiHo7uXpg7OgxoAzXm5o3uHzpElatXCmqBvv37ZdUtvTKzpk1+7uSgOxjqH7ANKz79u5FdlY2PDy84eQdIPSDxIVbkbfvio5+oEmTdVFgy36bE4qSkw9RfOJevbpSfOK+gJa+pWMVzcCyuoomn0Y4s6QZzN2IgoM3MfDM44b72ac6Sb8u2mYMsY+pfpag/fMvwb7esBxJOys4eB3eybmKZtBcAZZVPJdOMHzUHNh59xbVg9zcfFRWnsObN29E9UCB2ib7E/WFssAPWUADs2npTUtzNddujf1d2dm/FQz8/fxFpeCP33XpUtk/0CN75/ZtTJ4wEaNGjEBJYRGuXL6CP//4s0X24WoQebWkH+zasROJ8QlwcXKBtYMz/NOKkLpy/9/0A6V+0KiHXklztaiqWcyPBMxSZ7YZaS5j9xOtuZ7E81Q8E34o43r4uTXnd5XfEuh2WWmuVhUyqQfnX4mnNnPTKfQpGgVrV294enqLp+XKlSsyUHHwVZuygLJA+1jA3MCsKBiMniMKBqQPfPv6TYJGNWsQjBLUMsjr5o0bOH7smNAIWkNZ4m9pF41+sGvnThQXFtWqH7jAKykXsTPWSLCLoh80XDZVYFarjV3j1azBbG2SD3JBI8bMlZUptulWYZcu4m1WYLa1Bc0AsdqEC8lLdsEnMUcSLkRG9sPKFauED6cSLnSNTlI9ZcdbwGzArJ6Cgb1vECIiInHr5s26QC9DSxGQMsCLe1smwBr9gGorpCxkZ2bBw7OWfpCQhb/pBw91y6idzCc2hUFYgVnD2mjZn80RzJIqw3rKtK3hI2fB1icIPWwd5T0VXcQ7q9pyPVCvwGxrwWzt7zXuBvOuR01YBFvvINg7uSE7OwdnzpwR6gFVDzhQtcbrYtndino6ZYHWWcBcwKyOK/tAMktZWdlg/rz5eP/+fesetg2/Zh+j0Q8YKJacmARXZ1fYOLjAP70YKSv2imyNqB90cfqBArNtqGhmeKo5gVkNVzAtd+amk/BLL4GVvRNcnF3g7uIKG2cPDFi2W1K5Uh/fFCaHpnIPCsz+IJjVFaCOesDOkaoHfUrGwM7THx7uHhg3dhwuXaKcPS0AACAASURBVLzYqLakGfYH6paVBTrFAuYCZkXBYMNxOPj1QVBgb0m2QnBpzK0e/eDVa+zetRvFRaQfuKGnvTMYzR07Y7Vw/7sy/UCBWWPWys6/ljmBWcrsFRy6ifBRs2Hr0xtWvaxRWFCIgwcOYOvmLfDy8IRbeBwyt5xG6Zn66VxNBVR21n0oMNsmMKvjYwlBu/IF6KVNWbFPVA+cPHx0qgdLl+Hpkycq4ULn92nqDszQAuYAZtn+S0/+rWAwfuw40Y/lvXfWJvSDb9+k7zmw/wCyNPqBlz+84jK6NP1AgdnOqpWdc12TB7MiBfoaxcfvIWPTKXjEZcLO1RM+Pn5YtnSpqJ58/vwZH95/QHnpQLi4e4pcaMGBa6Ix3Vng0dSuq8BsO4DZukIVPu1zyToTMXYe7P2CYWPvjLz8Apw5c7aOesCBRm3KAsoC37eAOYDZvxUMQiXbFwO7NAWD7z9hx/6iHv1g+w6kJCfDlcuVjq5CPxiwbI8uq9opHadWuHjt2Sea4H8pMNuxdc7U/t2UweygqlciM1Vw4Dpipi6HtZsPevbohZTkAThXWSlB5X/9qVM6YVtm3xIZHgFrF08kL94OJhGgLn4dBjHB9mase1Ngtr0Lv3aWxWW87G0V6Fs6DjZuPmBKytEjR4kMj0q4YGrdnbofU7WAOYBZKhgwW6C1rYMkR9C48qZiU41+QNoDky8wcQPpB87OLuhh6wTP+CzETO869AMFZk2lZhrnPkwZzA48/Ripaw7BIz4T3a3tYWNlg4ElJbh3957IfbLt6m9sw5TkI3/WOy5N6I2S8VABWkkao6S52hvQ6idcOFKNtNWHJAWlg5sXgkPCsGzpMjx58kSE0pWXVr+pqvfKAvUtYNJgVk/BwM4rEJERUc0qGNR/MuN/4sCoqR88ffoUTNyQmpIKdw8vOHj4wiM27W/6Qa2n1hK9PgrMGr/udeYVTQ3MilLB2ad1SgX2Pr3h4OSC4qJibNm8BSOHj8Cjhw8ly6ih3diGmRabjjE7eyf0KRmNwsO3RGHJWB5QU72O8sx2AJA1LGwt4ULEmHlwCAiFo4s78vMLcPr0afGU/PbbbyqLmGGrVZ+VBQBRA7l75w5MMWmCpmAQOmQKOkPBoC0VhIMivTwfP3zAls2bMSAxSSKm6+gHS3cjf98VEWqXFMEWJNTeEjBL+1A27euvv+KXz5+FA03eIr3uPK4287GAqYBZgq3y8y9F2D9jw3H4ZZTA2sEFgQG9MX/uXDx7+hRv37zBksWLcWD/fnnPyTzrIjetTjJhyt49e+Hv4wtrJ3dJ4026QWspQppuPjNnlZx8IDvbBtv74IvmR11QYNYIYJbeDXJjCGqpehBcPgFWrl5wd/fEiGHDRfWAmYFYcdWmLKAs8LcFTNkzKwoG64/B0a8vggIChUJEgGguGwdH2pf3/OrlS+zZvVsip52dSD9wlECUmOmrJLraktQPWgJmCVgZcHPo4EHMmjFD0hIz7XDV+fOSfc1cyljdJ2AqYJb9ReGhmwgbMRO23oGwJqWgdCAqzp6VSRK5sax3TFk9cdx4XL1yRagGGqDl69u3b7Fz+w6MGTkKo0aMhKuLGxyDo5G15Yxwbw0daU19pneYAHbAin0IHjwZ/jmDEVQyBomLtqPwSLVZ6tgqMGsMMKtdozbhQtGRaqSs3A/vhCyQetC3bwiWLlkqkccq4YLqfpUF/raAqYJZUTA4ZVoKBn9brXXvCGpJP2BWMnqHqH6Qkpyiox+4+8AjJhWJC7chT89Ta870g5aAWXphF8yfj9QBAzBm1CjMnjkLhXn54sG+eOGCZF9j3Wxs0+zJDG2cKBCgaBMHnkNb8xi/4294jN9z5zHu/A0/q63tFuhUMFvryKJSQeaWM3DvnyZKBd7evli9apXQDfVjaFjmf/35l0yiJowdh+fPngsdkfWxuroaUyZNlrp4u7oaz549w5BBg2FjY4/IUbMkkFO8sy3gz9K5xomqc0QCfDMHos/AcfBMyoWtfwj6z1wjQJde5EbBcO0zUUaMAJ16twSSvLZufyXH5DtN05rfX3it+33tOe3dh7QbmGUhsFFqe9urYPv9AyvL2dNnENYvFl7JeSg/10QhaaCzg19pdN4DuS5R4xfCzj8E9k6uyMrMxrFjx1DzuqZOn1Z1aO1XD9Q/mZ8F2J+YIs3gbwWDEPQO7I2bN24KMDE/C9e/Y/Y3BFMfSD/YtFmiql2cXWHr5CbqB8lLdiJvr3nTD1oCZkn92rd3Ly5UVQkV4/OnT3j44CEy0zMwZtRoXZS5gSqNNgZyvGGg3b27d3Hv3j3U1NRI3eDqGwHImzdv8OLFC/nu/r17spz86dMnvH/3Xq7B816+eCGTC4JatbXNAp0FZnVKBU8EZPabuBi27r6wt3dETnaO1KvmHFf8buH8Bdi4fgMe3L+PE8dPiDd2x/bt4p3lZIh1g/Untl80HDx8RN2AlIGWJFPgvWVsPIGkJTvBANbSUw8Fj7j2GwDX6BRp42WVz+uD2VrASn1bqi9kbz+HnJ3n5Xz+lglZCg7eQNGR2zLxzdlxHjm7LojiApNA0InH3+fsrJJryWpPVfslfmgXMMtGTONyZs/9999+E1DbtirYfmebGpjVZjtS2ZlwgaoHZRNg6+EvWXtGDB8uy1mmFhXdfiWi/klZoGUWMFUwKwoGo2aLggG9dpbUVjVQRlD78uVL4ecVFRTC2ckZ3W0c4dE/Q7w6hYcYePJUvDJan2YOry0Bs5oNCBg0Bw3LmF7agrx8oRpwzNPf+DuONeQzDiorQ3JCIlKSkjF65EgBr3fu3EFpUTEWzJsneqHa99QlPnHsOCaMG4+MtHQkJSRg0MCyOvqZ/jXU+9ZboHPAbI1k6UpZdUDAYQ8bBwQGBGLlipUyoaFHnnWsqY116fmzZ5g0YQJGjRiBWTNm4vq1a1K/+J22EW/t2rkT3p5ecAvrj8zNpzGwhckU6Cklb1a8qbUOtpDBk+ESmShe5LKKZ/XALH9XevIBIsfNh0d8FhyDY+AU1h8hQ6eCfQHBsdAVSsfCLSZVvqfnl17fmGkr4ZNeAqfQ/rL7ZZcjd9cFsVF79RltBrM0Jmeht27dwq6du7B08RJsXL8eN2/eFNJ8cwWmFUhHv5oqmGUhsoLQXc/ZTOrqg/BOzBHqQUhImBDBOZP/5ZdfpEM1BVt2dFmp/1cW0LcAO26T8sxqCga7L8rkMyqynygY8D4trX3yeQjm2Mc/f/4cBw8cxICkAUI/sHfzgnv0ALOkH7QEzOrXQb4nsH/96jXKB5bJUi9tYug15ThTWVGJxLh4TJ86FVcuXQYpCfv37ZM+/Mb1GwjtG4zgoCCsX7tONEM5Vvbt3RvhIaGYOGGCANjTp04hJzMLE8aNEy6z4b2oz62zgDHBLMdz1q/8/VcROnw6bD384ODoguLiEty4cUNWPP74DpDVno6A99bNm7h44aJ497laoA9k+Tt+JgWhrHQgXN290LtghHhNiSlaAxLlvs8+hU9aMdzjMoUnT5qA/n+Unn6MqAmLYOPTB2EjZyFj40mhS5J3S48wJcasvAJhFxCGxAVbkb7+mPBwuzm4Cn2B52RuPoXoqStg3ycKocNnCIdY/xpted9mMMvIOuqeUeSXSzB52TlIS0lBdGQUdu/cJV7apjp5FoTGHdJ4QjzGTkLbeZw7f8fv9M/hMcMORasI+q+mDGbrCk+PTxs1YSGc+kTC1sEZWdk5OHrkqEwYvn391qLn1X929V5ZwJwtwPZuSmCWnT6XzEIGTTI7BYO21AP24eyHNfpBWkqqrCLZOrsL/SBp8Q7k7b1sFuoHrQWzHGNIA2AwWEZqGqqqqqQfNhzX3r9/j4njJ2D40KF49OhR3RimjVkUvA/t01e8sqQeENQwej09NRVhIaGynEzvL8HJti1bkZKUJNmf2lJu6lzjBIBp1EFyY9PWHIZvSiGsHZwR1DtIPPHkohOMtmZj/dIwz7/1vLGG/8HfEfT2i+oHmx9IpsB7Z5ugF9kuMAzRU5bLZ/Z1dfjk4hvk7r4I99g0BA+aVMvPpVdX59klbZJglkA3dNh0FB+9I0468ux/tnOBV1Iu8vZcFgmx4hP34Z87RDzWuXsu1buG/vVa+77NYJY8oMsXL+Fc5TnhcnDG+vjRI91yTG6egDAWiOHGAuDMg50EOUTc6YHkMf4nAShf3717J/9LCRl+x//XzmHHys+N/b/+9cwCzJKnW8tJoXs/e3sl6PK3dvWGh7snhpQPknzvfBa1KQt0FQuwbZsSmGWnnbbuKBz9zVPBoC31RhtcCWqpfkD5IKEfODqju7WDDHQMKtF0Lzm4tHZAMsbvWwtm2edWnK1AUnwC1q1ZK4C+MTtyhZLUgbVr1oDAVn9jPSavOio8QlKUkoNLe/K/i/ILhH7w4f17mTBwTDt86JCA2QcPHuj/jXr/AxYwhmeWXkzyRUOGTIa1hx+selmLF5+eek5QOCFieXfUxjZJNRJ3Vzd4xQxA1tYzQiFoSZAVA70yN50C+bLB5ZPkORpru+nrjsLGL1jAesnxe/XaNukKBPHO4fEiFUb+rAYue7h4oW/5REnXy2ux/VFBgXQGAuT2avPa9XzTiuHjF9jA1P/R4IjBAfGs/v53VCb5sjWvX2Pjhg1IT03Dq1evGoBNnsPGfP36dSxkxGhysnQC5A6R0Hzm9GkMHTwEZ8+cEfmJxLg4+Q0r5YULF2QJJyM1FckJCSKbQrkK/mdTm9mA2drAMxYKZbzIy8vceBJ+qYWwd/GEf0BvLF60CE8ePxbg3xKvdFM2UceVBczBAqYEZumpYKBEUPFoOLp6gNHG7Me+N5k2Bzu35h45KLPvIehioNKhg4eQlJikox+4esKtX7JJ0w9aCmb5jDJ2nDkr3NfZM2eK04XAobGNYDY2Ohpbt2xpAHhZR8R7FhGJdWvXSv+tgdnigkLhyHKVk+MY7Xrk8GEdmL1/v7FLqWOtsECHgVlxPr0SkJax6SRc+yWDKxVent5Ys3qNcGNZfzoSxGpm4DXo5Z84fjwcnVwQXDJGN6k0DOLSC24nziAIz9lVBff+GQgsGC4eVwZmNQYwxfPq20d4ucy0pf8bemgJZl2ikpCwYCuY2YxAmvJfPV28BbzyHAan8f+DB08xPTBLY7LR04VOj+nLFy9x+dIljBg6DASnPGZYmPS4Pnz4EMWFhchMT8fypUtlNrt82TIwMw3pCZFh4egfHYMZ06Zj1YqVKCspha+XF2Ki+mH4kKHSIUyeOBEhffpi+dJl4sXVCtbw1dzArH4lYZRgwcHriBynox44uXkiNzcPx44ek+AM2l2BWsMSV58txQKmBGZFwWDrWTgEhCCodx/cunlLVossxdY/8hzs27liptEPGMDkSvUDZw8d/WDRdpOjH7QEzLJPZbKEcxWVKMwvwMzp0/Gm5k1doJ/hmEbbvX3zFplp6ViyaLGMgwSm3PlffCXNoF9EpPBluQrJ/+DYpMDsj9S8lp/TEWBWgrfPPpGo/6hxC3TcWAcn5OflS/A2MQ7L3JibVseio/rB0dMP8XM3CtA2pAsIviC14OxTZG45DbeYNPhllSF7W4UEZInUllAM6q+sMMDLrne4KCBQL5deVu60hUYzIJiljF9DMDtFkkXQg2vSYJYNkg112JChKMjNEy0+Ak5G3zXmtaC3dsO69fI7Sp9wpqs1evKFdu/aJUCWIJaz1F8+/4KHDx4gIjQMQwcNlkhSnsOUsAS0PEYQ3dRmzmBWRz14BYJaSl2EDp0KKxcvEUumxhwnDny+xuzclD3UcWUBc7GAKYFZnYLBLFEwmDN7dh2wMRdbdtR9EpSxnNgnv3r5SrilRYVFcHJ0Rjdre4lsFvrBkWrhzNEjpD9hN/b7loBZZv46c/oMEvrHYd7cucKB5dj05ZcvYOwCn9UQ0BL8Ll28GFnpGbKCSE/rp4+fxNHCpeYb168rMNtRlbCZ/21/MFurVLByv3giRanAP1C8sVQgaKxuNHN77foVJ05bN2+Gt7cPnEJiJElTY55WoRZs1lEL6JGlCgI9p6QHsH2UVT6T4HT9tkkaBRUJKG/K4C/GDtDzysAwXoMB7GYPZjkzp0eVHtK5s2fLTJMe0zWrVslyiiHQevrkKQaXl2NwWblwYvVLkzNWgllyj27fvi0glx0Bo2lTkwfIrJfXY0fCJa61q1ejrLRUrq//P/rvzRrMassCWoDY0TsSJehTq3oQEBCIpUuWqYQL+gWu3rfJArLC8vJlXZ1q05+18WSTALN6CgY2bj6IirJcBYO2FBf7ZA6mdEDQYXH40GEkJiQK/cDO2R2ukYlIXNT5yRe+B2b5HKQEMMVv36AgTJowEcz+Rd3PhQsWykohuawELfobA7pIk9MlV0jErJkzMWPaNIk0p64s/zM+tj+2btkqDgheh7biOMhMkATLFMznatuJ48eRnZnZ7Limf231vmkLtBeYpYdz4Nm/lQps3Lzh4OiMoqJiVN+6JU42DZs0fTcd+w3rFPvvkcNHwMbGDv3GzBVlBcpw1aWorfXKuvVPh7V3EPyyyhFUMhYhQ6YgZMhUhI+aLXEBhtJcdKgNWL5XvLOU3iIPNrBgBPoMHC9qTGlrD8O9fzqSl+0WO9ERR1qWtVdvhI2YJe+1FLoMEuNvqfqgD5jb8r7NnFkWDQccelYJOglGGRxAryqzp7ABs4PT3xgglpedjXFjxsjv9b/TwGzqgBRZRue5v337JsCVkaQrl6+Qa7HQ2GGuX7tWKAgE001tFgFm9fi0WsKFfpOWwLFPJByc3ZCdlSPcNfK26DlgmdBGalMWaKkFWGc4QF+7elW0NKlIwgDM5jbWMZ7HdqrVOe0YX7X38l1tIKh2TP+cpq7B8zo7AIyDmCgYMA21lQ3mz5svAvdN3bM6rssjr08/oNIN6Qd2Ljr6AaV7GN3MwY68vUaXQrWJfDu/tgTMMliL0lhFBQUYWFIiCgTlpQPllbqf9LIaglnWa6YkvXP7jgR5lQ8ciKGDB2P1ypUSEMYxiuC2sqKiLrKdNqLTh1JdWr/N/+X/L1ywAO/evlXVqY0WaCuY1XFLX8qSfeqqA/BNKYC1gwuC+wbLBOfpkyd15dnGW22X07U+kxMnRw9fMNEJl/0JJAUs1oLZgPxhwpX1TMyW7F/0uHL3zRgoVAJDMEtwSo8uA2D7lk+Q39JT23/WOvHqMiEC5baytp5FeS1Xlx7bgLyhwqMlTYvtnO09ft5mhI2YIQkV2gJg9c9tFzCrlYA2eP365QtOnzyF/NxcIbIbNno2as5G2djf1NRop8urBmbTBqQIKG4KzPLHXRHMaoWnmyU+raMe2HkFwMXJBYPLB+FcpS6CkpVabcoCLbUAB1YOnuPGjBU9zIjQUAl4aep8Gbz/+ksmsfQw0aPEOsf9j9//kIH9zz/+kEGaE12tH2Cb5rU4yeRrc/WU33U2mBUFg7VH4OgfjED/AFy5cqXuWZqyjTquA7RSF0g/qPXUUv3AycEJ3azs4BY9QJIvUGObA6ex6AffA7MsO9436ynrLHc6a7T9e5Mw7Vz932sTOH7HnZ+1Tf7PINpda1v8rdraZoG2glmCL3JEGYFv7e4rSgWDyspx/tw56ftYfvrl2ba7bZ+z2R/v3rkTXh6ecIuIr6UbPPnbC1obvMZnY/8mey0HVuPBErxqeEP/ldiDwJi/037LtitJGGpT2tZ5gUVLXyffpf9/8nvKeonH+E2j19G/ZkvetxnMvn/3TgY86uYxCIDKAoy2375tm2QyuXb1WgPPLL095HUwDRuXU/j53dt3sszC98xooQOzr+TcxjyzLPKuDGZZuDLLqXyB4mN3kLHhOLyTcmHv4oHAwCBZDtMSLohGnV7n2T7NRf2LJVmAHTLbL7nsifHxIgwfFR7eJJgV4PvuHa5euSJeJS7B7ty+Qyagnz5+xP69+4Q7SeDHwYSqJYcPHsTjR49x5/Zt6WgXzJuPrZu34NHDh02CWg7mnQlm2cbqKRiMGyf9lKkNXqZcFzVgxgGW48SRw0eQEJcAd3cvSZPrGp5gVPpBS8CsKdtT3VvrLPBDYNZAqcAlIgG2jq7w9PTGurXrJEaHk/Hm9F9bd5ft+2v2mwxCG1hSClcPb/QpHYvCgzfEK9oSYGiOv2kzmCVHaPasWZg/d54kT6ASwaIFC4VvxCUVkuANZ5caB7akqAiF+fnYvHGjDIQb1q2TfNXUL8zOyJSOj+dqcl8MLqOGHwdebtSm3bJpkyzlkFPb1GZJNINGK1ktn7bwcLVk6HAJiYGtowsyM7Oxb+8+ARgcSDS7NWUndbzrWoArIufPnUdyYhJ27tghOcH7RUQ0CWa5orJp40bEREUJJWHIoEEoKSwSfUxSXei5iO/fH3k5OZLaMz83T7y9DBKlignbPVdn4mJiRZaIk2DNc6tfCp0NZrlMxmUzB/8Q9Anqi+pb1QK89e9RvW+5BQhsORHS1A+yM7Nq6Qeeon6QMH8L8vZcQkkH0g8UmG15eVnCL1sLZuuUCvZcRuSYebBx90OvXtbIy8mVVc/OUCr4kXJgW7tdXY3YmFjYunljwNJdQpXQ95A2iifamdZjrGu0Gcx+eP8BJ0+cwNw5c0RVYPjQYZg3Zw6OHjkiUiaNeTC0Do0eGQ6II4YNw8jhw7Fm1Wq8fvVKOHvLliyt84BwuYbk+FUrV4oGrQaOdQPwORl4DUWq9Qvf4sEsK1+tm1+XcOGcZOGwcvaEm6s7SoqKJa0i6R9qUxYwtADb0727dzFm1GisWLZM8sjv2LYdTYFZtl/y/ph3nlw/rpBonlpOmihhVFxYJALxXGXh5JU8+ulTpsKml5XkGX/58qVw4Sn0TTH6s2fPSjBMY/fWmZ7ZomN3ED5Sp2Awb85ceRat/zG8V/W5ZRZg/eHOfp1159jRo5J8wdHBCT/3soVrVLKOfnC0Y+gHCsy2rJws5VetA7M1KD3zWNK0MgFAD2t7eLh5iArF1StXpY9i3TWXjW1s39698HB1h1dsCrJ3nBMpLUsEtG0Gs/SmECxypk2KAEElgef39E85IHAA5G95Dnf+j/zfl19l0GBBsOLwtzxO8MpztMokfLxv3+p4K01VsC4BZmtnUyxQAlqm1aNHiWR1RhJ7e/sK9YDBd7Sj8tI2VVu61nG2K7Y9glIGq1AhhJmISBloDMxqIIRJUaguQtoA27rWTvnKFRN6Xwvy8vD48WP5jnWOKTqd7B1Eh1Hj1165fBmFeXmiYNLYZIttv1PArJ6CgbWLF/pFRUswK+9H63+6Vk1p/6elHdkPyQTozRtxgMTHxQv9wMbRBS5CP9gOpsQsPfVIt0TaBI+vNd4fBWbbvyxN+R9bAma1GJT8/dckMIlt3sHRBUWFxeJco979/n37JabAVKkFjZUB21hdMgVHZwSXjf9uMoXWtCVT+m2bwWxjBjS1Y10JzNZVrtosYvkHrgv1wDUsFk7uXsgi9WDffpE6o8dMgVpTq63GvR8umUm2ocQk4aozAIyUHWYpCu3bV8Ao64m2ycTy99+xaMECkCbUWPY9HZgtAqkHBMrcCFh27dgJdxdX0aRmvWNHy6htisaT2sB7Mdw6C8xycKPuIjt/pWBgWCrt/5l1QegH799jy+bNyM3K0dEPXD3hn1aEhHmb2o1+oMBs+5efKf9js2C2NkK/+PhdpKzYK84fWydXRIRHYuniJSJPyIn4vbv3QG3p6urqukBXU35m/XujU5CqUkym4OQTKMkU2Lexj6vDC2ZKLdC/fwVmLaAQ9Qu0/vsaqbDUh8vdVYXwETMl4YKzs6sQwy/VJlwwp5mmfiNV79tmAQIIcl8peefv7YO0lBTkZeeI6Ht4cAise/YUzit1nwkquQmY/eMPLF64SBKk8Hx2lvqbBmaZkvrjh4/ylbmBWUb3pq49DMeAYAT6+ePq1auNcnr1n1u9b5sFWB+5sz69fvUax48d19EP7B2FfuASmVRLP7jTJvUDBWbbVk7mdnZzYJbR+EVHqhE8aBKs3HxgbWWD4cOG4/Kly0KD0ibdrJO7du7CvDlzZQLPlSVz2vgcpI5JMoXQWGRvrwSlsurjhfZRFeis/1Rg1qLBbG3lpJe28rloumVtPg2/1EI4uHnDy8tHqAePHj0Siofy0ppT99Q+90pv6PZt20W/ecWy5aIPzQBO8qw9XN1ER5FZ5ggyuPGVgPbggQMiAE+1AlKMqJFJwEraAiPWyZkVMPvR/MAsA0DqFAxcPDBx3Pg6/n77WF39S3MWYB1jX6TRD6h+kJSQBA9Pb5B+4BqRgMSFW3Vpck+TfvBSYgZaOogqMNuc9S3vu+bAbFnFUwQVj0Y3WyfY2tph7Zq1ePH8udQ9bQKvWYTJCCaMGy8rTB8/fMC//jIf2TS2KWaoGzVyFGysbRE9bj5IqWhPaayWtr+O+p0Cs10BzNY+Iwtb08yLnrIMzqGxcHT1ENWDPbv3SJIKDiBsxBp40RqyerVMC7Csf//td+GdE5ByF+m8LVvQLzJS6sSff9T3vNISlNeiiDxTSTPY8+KFi6ItTXWTmtevJSsfAzs5AHBjvdqzazd8PDwlW47m8eDy18DiYjAQjHQgw433Z2zOLBUMmKecCgbBfYJxu/q2LIEb3pv63PEWYD9E+gElICnjxohyVxdX2Lt6wT+tWEc/2Nu65AsKzHZ8uZnSFb4HZqOnLEd3exeEh4WL1CD7rMbGP3pn6fihIsuNGzekzzSl5/zevbAvvXXzFuJi+8PBwxdJC7dJKtq6ZApmjoUUmDXzAvyRWY5Gds/dfVFS19l5BYqQOb1p5yp1QtCs+GrrGhZgx62/E3ju37dPMvjR69rYRh4tNWbJi6UEV2y/fshMS5PIdNIMmE5x7Oi/M/xxWY7e3OCgPqKcwPrFa969c1cCzw4dPIhvX782uFRngFlRMBgxE9a2DiI5+Ns3XTKIBjenDhjNAqwrOckJQQAAIABJREFUQj94/VrUc5h8wbGWfuAalSRZiIqP3UVZxfPvJl9QYNZoxWYSF2oOzHIsZL3xTMxBj1420m+9eP6ijlal/wDsiwh016xeLStZDKxivTSn7euvv0pwr4ebO1zD42qTKVgG3UCB2S4IZgmA2YjLJeHCXWRsPAHflHw4uHsjoDbhAmegJL4rPq05dVXtc6/aEi+Dt+gVa2xjx05ASy8uaQX0xjIYjMe4EwTT00oAwk37TwaYaeoHPM7ffvnlF1DJgL8x3IwKZmsVDHJ2VsHKxRPR0TESrMZ7MLdBy9COlvCZZaDVI06YSD9ISR4ALy9fEbR37zcAiQu36dLkNkM/UGDWEmpDy5+hOTArkpZVr5G8fC/s/PrC2ckFO3fulMBVrc2z/bMfpH42VzCL8gtQcbYCX39tOPlu+V11zi//9ddfQpkqzMuHi7sX+pSMQYGFJFNQYLaLgtk6j26tlBdTSkZPXgr3qETYObkK9WDnzl149fKVLBE3BjQ6pzmqq3YlCxgTzHKCJwoGA8fpKRi860rmNptnJdAgwODkaOuWLcjPzYebixsc3H0QkFEiEdt5TdAPFJg1m2JulxttFszWjv+sE+Gj5+D/ulshLS0D169dl0k36xjjCrgKtXDBAsydPUcoBjzGvskcN9436V2x0TGwcfWymGQKCsx2dTBb+/wkglOfNnfXBUSMniOqBy4ubqIVevHiRfGyaTNVc2zA6p7N0wLGBLOMbE5dcwhOASEI8PUDU3EzoE1tpmsB9kn0/nN14PSpUyjML4CDnQN+7mkD18hE9J+9TpaRGQDLwY6TeAVmTbc8O+LOWgJmWTfo0PFMyoWVnSPGjxsnK02UKVy7eg2G1MYGcLWKjh1zHwvZr1GdwdXZBR5RiRaRTEGBWQVm6+Q5WBm0hAuZW05Lekl6Onx9/bFg/nzcvXtXJVzoiN5W/WeTFjAWmDVUMJg0YaJSMGiyVEzrCwILffrBgf0H0J9BLg7O6GljD/foFCQu2IrcPZdQevoRSk4+QNjQqfL90aPHQE602izXAi0Bs5zkcMLDcc/OLxhW1rZYvWoVRo8YibmzZ+P5s2cy9lnK5JZthtlWR48cBVs7B/QpGY3CQzfFBnWrtmaGjRSYNbMCM0ZFE1Bb+RwFB66DqgdukQmScCE9PQM7tm/Hs6fPhOuoqAeWOwCYypMZC8z+rWAQjJDgUNy5fadJvrCp2EbdR0MLcJBmkM7Rw0eQn5OLjLR0uLnW0g/SixE/e70EvfQtGQ0He0ccPXJUgdmGZrSoIy0Fs5ozJ3TETPSwd4GLswuWLl4sQJbef3P3xuoXKsduthNqiHu5e8DO3QdxczYIzYp0K2PgjPa+hgKzCsw2WXElSOzcC2iqB72c3OHo6CRLeVrCBYINtSkLdJQFjAVmi4/dQdjwGbC2tceCefPNLstPR9nf3P6XgIPBh9Q4PnXyJJ49fYozp0/X0Q9+6mkDx7794NQnCva29jiiwKy5FXGr77elYFYDVwWHbsIzIQvdu/fEsiXLhMJiSeMc28ivX36V9sEU5qNGjISjgxOcQmKQs+Oc2SZTUGBWgdkmwSwbt+alZbo/JlzwTy+Go6cfPD29MHfOXPFgkQyvvLSt7mPVCS2wQMeDWWovv0T29nOwcvZETEx/XL9+XWktt6BsTPEnlJUjd3ZIuS6VMgN4eIzqB4cPHUI6PbVuHujerQfsrG1EEUHRDEyxJNvvnloLZqnFnrnlDHq6eCEsPAqVFZWyEmnugJb3T4WZhw8eYumSJUIxuH7tGl69fCmTPyZTiBozx2yTKSgwq8Bss2BWm62yorCRFxy8jpipK+AamSAJF9LTM7F92za8ePGiLmuKJS3HtF+Xqv7pRyzQ0WBWUzDoWzpWKRj8SAGZ0DnsdxiwM2XSJJw/dw7U1NQ2fkdJOMorzZw+HU529rC1ssaRw4cVzUAzkoW+thbMDr5Yg4FnHiNy/AJYu3igqLAIz549k/HNHE3Euk9n08ePH3H82DHMnD4DG9avx9MnTwSkkwdM9Yb42P6wd/dB4vzNwi03t2QKCswqMNsiMKsPahkkRtmbyDHzYOsZADtbe+Rm5+BcpWXMYM2xw7LUe+5oMCsKBqt1Cgb+Pr6gp6KxjGeWal9LeS4O2KwrBw8cxIqly0RO6a9ajWPtGfkbch9XrVwJZwdHBWY1w1j4a+vBrE6HndQjj4QsWNs5YN7cueLdZx0yt43t4k1NDSZPmoRJEyZItkZqyOuvpnLit2PbNri5uMI1rD+ytp4B4wi0cd8cXhWYVWC21RWW3ixGfhYfv4fMjSfhl1YMRy9/BAQEYcHceZLV6fPnz2arw2dunZUl329HgllDBYPJEycpBQMzrUwEqUzaMX/uPFy8cEFAqyHwoAfq5cuXEhT28z/+qcCsmZZ1a2/7R8Cslkwhaeku2Pv2gZ+fP06dOmWW/QP70EsXL2HE0GGSmpuBX2wL+u2DwPbzp88oLiiEi7u3WSZTUGDWxMEsB1wu7zNNo+yVzwVI8jgbXKfOmPQSLsRMXwXP2DTYObmJ6PSWzVtk4CBfTX8G2NqOSP2+a1ugI8GsKBhsr4S9XzBCQ8JkEkaOpdrMzwIsNwrBTxg3TrK2kcf/x++/15tQ0xu1b89eSd39z5+6w87GVnFmza+oW33HPwRma3GBlkyBusXl5YPw4P79RidKrb4pI57w73/9W1YqSC/YsmmzBEg2JjHGcZrJIcLDwtHdzhkDVuxF6amHnYsxWoHPFJhthbE6AziyMTF3NDXg6vbD1SL8LYDWBO6flYieWlIPoiYsloQLTk7OyEhNw8WqCyrhghE7Lku7VEeCWVEwGDZdFAwWLlioFAzMuPLQM8sgryWLFmPIoEE4sG+/eGq1yQm9UOTL9ouIhLWTOxx6RyhpLjMu79bcelvALMe2oqO34ZGQDXsnV6GoGC7Rt+ZeOuu3rP/kk3OyR3UPTvb0PbN8T4B7584dJMbH47//87/hnVooqW47A/f8yDUVmDUBMNhcwREgOkckwC4gFA59+8ExJAZOof0RMniKRGE3d64xvxNAW1FLPdh8CoHZ5UI98PMLwJzZc1B96xa+GPB0Oqthq+uajwU6Bszqghmzt1Wgl5MHYmPjhCvLa+l38OZjJXWnLDcCWtKbrly+IkFgM6dNR+XZCgneeVPzBuvXrUePbj3gOyAffuklcHBwgkqa0La6wzbz7ds3SSjAACPunz5+ks8sD1NoT20BsxxD6ajJ2HgS9v7B8PDwwrnKc6LRagrP1prS48SOcS1zZs2WgG2WGzeNfrNt61b0CeoDWydXuETEI2PjCZSefqw8s60xckf/lnIUZ0+fQVi/WHgl55kUCPwe4Mzacgb2vSMQOnwG4udtRuLCbUhavAPZ2yvB4JXGziewLD//SgjcpaceofTkQ8nsRQkienMZwMUlVu7y/elHtd+TzvBMd+zUI/leIhpbQWcQUMuECwdvIHb6KnjEpMLJ3RupqenYvGmzLuGCoh50dJW3mP/vCDDL1M0lJ+6DwvlWvWwwf958vH/3zmJs1pUfhACDg/aH9+9x6sRJLF6wEIsWLJTo7diY/vjZyg6xM1aD6hXMEKbAbNtqC4HQwf0HsHzpMixdvATLly7FimXLsWPbdlmRMwWKWVvBrM5R8wyhw6aJVz87Kxt379yRlZy2Wc/4ZzMd7/Jly3Do4EHUvH4tk47Lly5hzOgx8PLygb2XP/qWjZfEIgSy5pRAgeXEft03rRg+foENjPsfDY6Y4QFzBbMsHOrdOYbGInPzaZRXvhDdVx5vji9LkEuQynP7TVwiYvDJy3ZL7mkC2KTFO5G6+hAIlCPHzUfk+IVI33AcRcfuSMrHmGkrET56DpKX7kbJqYcCgBsDzc0d4z2S65u/7yoixy1AT0d3WdbLy87B1atX62S8zLA6qVs2ogU6AszqFAwOwikwFH7ePrhx/bp49Yz4WOpSHWwBgtp/1coRsb/JycpGTysbuEanIGfXBYQOmaLAbDuUAcfWrIwMJPSPw/ChwzB21GhMGDsOSxYtEi8tvbOdvbUVzGrjXOHhW3CPTZNkCiuWr8DbN29NwvPcGvtyckGZsbLSUqEbbFi3Hn17B6FHTytZ8U1ZdeDvLGCtcGJpNurMVwVmTZVmcKEG9IoOWLEPDsHRAjbJneVsicseTc2YOFAXHLyJsBEzYd8nSjpvyot4DchH0pJdKDl+D+5xmXCJTIJ7/3S4x2XAOTwePVy8EFQyBp5JuXLctd8A2AdFoHfRKJScfNgseG6qArNyaaoH2VsrhHrg7NtbEi7MnjW7LlDDFGbvrekQ1G+NZ4H2BrNcmWBQA+u6o4sHpk6eIlG85rZkaLwSMN8rsUy5lPro0SMkJyVLilL2p4WHqxE2dKoCs+1QtL9++YK42FjMmzNHQBIVJegV/6xFzDeRIZLe83fv3glH83Z1NZ48fiIODoLjmpoa+e7Vq1e4d+8eqm9Vi7D/L58/y/8+fvQI1XLOY/Esfm/8aC8wW1b5ApmbT6GXmw9CwyLNMpkCJxdUM1g4fz6CAnvD3t4RDt6BCCmfgNxdF6Rv5ApuU2O6KR9XYNZEwax4Ns+/FFqBXUAY+gwch5ChUxE+ei4SF21HyckHjdIlBp5+LDQEa6/eiBg7Typo0ZHbkpKWM0uS2Z3C4mDtHYT4eZuEDpC27igcQ2LR3dFdrkOeLit26LDp6OXmi+wd55oEzy2p3PIslUy4cAP9Z6yppR54CfVgw/oNOkHqX3/Fv/5SnMV2GF8s6i/aG8zqFAzOwd6vL8JCw3Hv7j1ZlrYoo6mHqbMAg3X27t4DF1d3WX5kv1ly4oECs3UW+vE3nCyQIxsWHIy1q1eDS9hUryH1gO22sY3nEMhyNWTu7DkYWFIi+8TxE0T9htJpC+cvAPmbs2fOxOCychQXFmH61GniSVy9ciVGDBuOkqIiScPKlMUEZ01dj/fQXmCWq6F0JkkyBWcP5OXmCW2Oz2zqG+3OpCGvXr4CvbGREVGwtneCS2Si0BeJEYS2aGbeWH38ocCsiYJZTecuY9Mp8Zb6ZpTCL6sMzhGJ6OHsCf/cwaLzql+YPIdeB/JrnUJjBbiygIWSUOslJZh1jUqGb3qJNEx6eHkOPVX2QZFCdOc55M7Si2HlEQAuPUhFb6OttP8tOHAdUeMXwtrdF9ZW1shMS5eMPfSiNNcpmXqHoe6v/S3Q3mCWqxuhQ6fB2sYeixYuUgoG7V9kJvOPHMCpYBARGgZ7rwChV7G/IyBRntm2FxPbJiPk+wT2FoDEjFL0pn788EE84rS/4UbPIFUnstIzJNHOyePHpe/fs3u3eHQfPniAwrx8uLu4Yuzo0ag4exb79+5DREgovNw9kJo8QPiejMjPy85GQW4erl292ixNqN3ALNO7V70WdSGP+ExY2zpgzuzZJp9MgeVAu9PLXVxYCBsra3SzspN+MH//VRnrBSe0cXyvh0U64b/4DIoz2wmGb1HBX9Cl1WNyAg7CRUfviPwVPa5WXoGIm72+/nLAhRrkH7gmwJTglwWrfx0u+fM/yBsLLBhR622tES4tSd/0zubsOA+m8+NvCWKtPAOQsnJ/u4BZ3gs7A416wGhJ/4xSOPkEws8/ELNmzBTqAZeoFKg1HAa65uf2A7M6DnfW1rPo5eSO/rFxuHb1mtSzxgbdrmlty3pqLllv3LBRFAyorsKBmxN7yh0qMNv2smbbfPH8OZITEpE2IEVeyZ0tLS7Gti1bBeTRG6i/0WGxft06ZGdm4uyZswJ8KRPFDFT06D55/FgAV0xUP9y5fUfUKT58+IBpU6bCx9MLV65ckf+lR/jSxYtISkjAiePH5Vz96+i/b08wqzmZkpftkWQK/n7+OHnipNwnGgHv+vfRGe//+P0PvHj+Aps2bkTfoD5wcHGHR8wApKzYJ+M+x2KOyfo4wVzfKzBrqkC2iftiYFfWtgpYeQYiZNi0+pXwQg3o9aSX1TulsEkw6xaTKlxYrdJyiaFv2QQhgOfsrDIAs4E6MNvePJpa72/RkWrEzlgDr7gM2Dq6IDk5RSR0OMNXCRc6o/szrWu2F5jVFAz6FI9GrzoFg/em9bDqbtrNApyg3Lt7F6kpafjJyg6JC7aKOgv7PAVm28fMtDH76JPHT+DwoUM4cew4Duzfj2mTpyAuOgZ79+wRGoL+1Qhc6R1ksBgDkQwDxJ49fYrS4hKMHztWaAe8Bjmxy5YuRWJcvBwjICbwJXc2Iy1NPLVMkNHU1q5gtnZcZh1i8PRPPW0wcGA56FHms5jCxJj3wHuhrS9UXcCwocPg6ektqxMhgyaapVKBhlWae1VgtgnQ2JzRjPUdC4eDMF+1azJ4JWPDCVn+p4dWOy6vIvB8R5QIbAPCZOalf67mmdWB2dF153YKmNXsrqke7L+G6MnL0NPJA/Z2DkiMT0DVufMq4UJTPXQXOd5eYJZSdSmrdQoGvl7esgJgOJB2EZNa/GNyMGe9WbN6NVzdPGUlqvDQrbp+VIHZ9q0CtLf+Tt4rea25WdlCQ9C/GjnMKcnJGD92HN69fdsgOyTBbFlJqWih1ryukVNZliuWLUNKUrLISdHbK2D28eNOA7McV6n+45mYA1sHZ0mmQPD4vWA0fVt01Hvai1SPzRs3obd/ALp37yX69FQw4motMQVXX+thB208NuNXlkmXoRmERkZL9D4fuPT0I4P9sczYJZJPDzx2VoHLcnzFszpd2bS1R8CdOrNUJiBxO3v7uQYVkgEuA1buh61/CPqUjhOvavr6Y+Ceu+eS0AxMCsySeiBe2tqEC5tOIihvKJx8g8CECzOmzxBB+y+/mEZH0VEdkPrfxi3QHmDWUMGAwSTMQ84BWG2WZwECndevXiEjLQPWzh5IWXlAeLJaX67AbPuVuQZi9f+RigYM6CIvlkvc+hupH+WlAzG4fBAePnzYgB5QD8zWmC6YZV2ic4iOJfuAELh7eOHsmTOdmkyBQJqA+tLFS+KNdXJ0hpNfH51SwW7zVirQ2m5zr10KzIaER8EuMBzRU5YjZvqq+vu0lXI8Y9NJkcRqzmjG+E4Ds9R8pYSWW2wqCEIpmcXgLQJbNibDe+F5DPKKnrqiTmKL55NDO2D5XlFB8B5QgODBk+vOJbgPHzkLbjEpwsnlf1IjltqzDn36ybUkeUIHz9oE1NYmXIibswFe8Zlw9vBBUtIArFu7Dk+fPK2jHiggoj9EWO779gCznOCRC27v2wfhYRG4f/++UjCw3Cojck0MKBIFg/SSBsovCsy2T+GLB/DjR5HRohwXua18raqqEk4sE1YQ2Opv9KqSfkCO7YH9B0SGi+dQkYDfPX70+G/PrImDWZ0T5hlCh0+HtZMbsjOzRGrMkCes//wd8Z5jIa/JCdy6NWsREx0Le2c3uMekIGHBFlmhNXelAkOc09jnLgVmg0MjYNc7AnFzN0ohs6C1neCJAC9izFyJ7jMFNzwLh7QC8mAplZW7+4K8J2+W3qbGCpTHBAhXPgeluPL2XJJzqVjATpwgtfBIdT0lBB7TAsw0gMylCP6eclplZ5/WLdE1dc32PM7npoec1+43cTG62znD2soG6ampErlKnhY7UrVZvgXaA8yKgsGQKaJgsHiRUjCw5FrDgZ0KBmHBIXAQBYMdDZZVFZhtnxpAD/jxo8eQkpQktAIG8I4eORLhISHIzc4Gvazkt+pv9B4SuA4fMhTBQX0wfsxYTJ44CSWFRQIEyXOuoxmYOJjVxjwGVdMR9PPP3bByxUoB8MZytvA6tCmVCgry8mDVoye6WdmKrKaM3RXPfkgjXns2c3rtUmBWRzPIlJk6OzT9vfjYHQG2lIyiJ0fkrDrYE9mSikKPaHnlcwHYlMsi8CRYbf7+dFxb/pbn6M5jKlvyb18LUNT3tMqx8y/FI63j07wRTg1/X3c9I9uCFZPAmkoOOdvPIahgOFz8+0pu7GlTp+HqlSuypGIKHCX9zlq9b18LtA3M6hQMmD2vp6Mb4vrHy2SI/2mswaZ9raH+7XsW4DL2+nXr6ysYGPADFZj9nhVb9j3b0ZuaGmzetAmTJ0zEyGHDMW7MWGzZvFkoBN++fmvAIWW7I1edwV+MsOc5o0eMxNLFi8XDy/9bvXIVDh08JP0774TnnDxxAosWLJBjPJ/XZtIFHqu+davBdfSfoCMCwPTHbkmmsOU0rDz8ERIagcqKCqNI/lGpgNJo1I0N7hsMexd3ePZPQ8ryvRanVKBv76bedykwG9YvFl7JeY0nGzj7RJINRE1cbFJgtqmC6yrHNVDLWWb8nA3wTsiCk7sXkpJTJMCDnSJlXVTCBf3u23LetwXMcmJGCk2folHo1csa8+fNx/t3SsHAcmpH/Sch6Ll7545OwaCXLRIX/q1goN9fKjBb325t+cT2Se/r58+fRbng08dP+Prr1+9G9tMJwaVxemk/ffwo1BB6ev/84w+hAPE/9QM0mWiBK3I8xnLmrv3Hb9++NTs57WgwS8cStYujJiwSjnZmZhaePtVR4pqyLe3G56UN+Gwt3fjctAG5sVXnqzB40GBRKmAWL6ZopvQg44HE4WVkB5R+G+uM9wrM1hb4QAVmm6QtdEbFbHDNWk9t0eFq9Ju8FNZuPujV0wppKam4eOECfvv2m6IetLRHNKPftQnMUsFg1QE4BYbC28MTt27erDdAmpEZ1K1+xwIc5FlXqGDg4uahUzA4/LeCgX5/osDsd4xpYV93OJitpfbpUsVnwMrGXjTTmRyC9bKxjVJiTDLBpBD0MLd0Yx3nBIDe7wBfP3Tr3hMOfXVxLcxuR0CnX9e70nsFZhWYNZvKL7SHWupBJlUP8ofC2a+PJFwQ6sHVq+IhYINXm2VY4EfBrKGCwcxp02UQaGpwsQxrdd2nEAWD16+RnpYOGxdPpKw6WE/BQH9QV2C2a9UTY4BZLZkCg6ztfPvA3y8Ap06ewi+fP9cZm30PvcmvXr7EkcOHRfFhYHEJjh45Ip5pfU903Um1b3jer19+FW/ssCFD4eToBOeAYIQMmiSxNIytESWmLuaN1W/XCswqMGs2YLau4uolXGDgnk9SDuydXJGYlIw1q9fg5YuXdaoHhp2C+mxeFvhRMCsKBjurYO8ThIjwSBE1b81ynnlZSd0t9Ut379wFZxd3+DH74ckHTQ7uCsx2rfpiFDCr4YgzTyRomckUysoGSWIHglROtkiHu11djflz54KBqBeqqnD+3HkMHTwYVy5faVRTnQCYVARq7nLVIbpfjIx17jGpQqOhRjyVCrqyR1bDBQrMapVQ0QzMEtSyIVO1IXbGavR09hTVA6ZCPH/uXKOdQ9fqxs3/aX8UzFLBIGTIZFEwWLJ4sfDSlMfe/OtDY0/AAb/m9WuJjnfwCkTS4p21nMHGl1wVmG3MipZ7zJhgloCKQcueSbmwtnUUAMqgRFIDjh09isy0dMmS9vbNG6HFcIJdWVEpQXDMeqnvndU8uffv3UNudg56dusuSgVhw2fImFdW8fw7geAM5O46e5cBs+SmBAeHwtq7NyLGzkfk+IX19ojRc+GXWQa32DSR5zL8Xn2uby+Tsce4BQgfNVtk1bxTCtDN2gE//eP/4OXuIVlk3r9/32ykq+V24ZbxZD8CZqnAQRpKTwc3xMcl4OqVqzJwcHBQm+VZgGCBOtQ9uvVAYHY58vdfbXaQV2DW8upAc09kTDBL8EgVHmq0M5mCq5sHNm7YIBzaKRMnSebBz58+yeSa/RH7NwLdpUuW4MjhI+B4xY1KBS+eP8faNWsRGhwKexcPeCfmIGXFPtGR5zWaDPLS4kuO3EbGxpNIX3dUdLZ1qxUvLBbgdgkwy2jHWzdvoX9Mf/zz/37C//zjJ/zvTz3wfz1t8LOtM7rZu+BnO2f8RCBk64Sf7VzQzd5V7SZpAxf8bOskZfVPK/u6smKZsfz+0d0a//vPbvif//kHfL19RMKLSzxqM08LtBbMimfkxH0EFY5Er561Cga1A4R5WkDddXMWICC4QwWD1DT8JAoG23RqNM14pBSYbc6ilvedscEs+yDKYYYOn4Eedk4yDs2fOw8P7t9vVLKL4xPr8NTJU4SG8PHjR5yrPIeygWWiVODoHywOm+wd54QH3iSIra3znMynrjmMgPxhusRJ0Smi4sQETEyoJOdbYKBYlwCzOvL0Fxw+dEhyFf/X//v/8JOVHYIHT5Jo57R1R2UmxdmU2k3bBmnrj4LpeoNKxqBv2QSkrj3coMwYwe6XXQ5PL1+cPnmqVdInlteVm/cTtRrM6ikYeLm5o/pWdb2lO/O2hrp7fQtonq21q9dIti/X6BRJCMNBrbnlVQVm9a1o+e+NDWa1ukdZQJeoZPzXf/63pGVn4FdTG+vyzu07MHzoUPB+Pd090K1bTziFxiJj4wkwUVLLEjnVoPDQTThHJMIvcyDS1x9H9rYKBBWPRndHd8TN2Sie4+8BYu0ZzOm1S4BZVpS//vxT9Ow4O5o1cyaC+4agp42DzFgSF20XDgr12djRqd10bcAyYgazqAmLET15meiIGpYXZ5/M5ub1/7f3Hl5RZev26Ptb3u/97h3nnHtCt9qKknNQMAdEEEQJklGQYM7a5tCGtk2obc4Jc8Cc26woiIpitrW1T/e58435QZVFUWoRK317jD1q1857rrX2mvtbc80V2knJ7Ofeng6yvj5k1uhgkDMenj7+mDd7jjoYOEg6N+Q2GdGiVjYpMQluPkFIXLX/sw4GppWyktmGoO24x9iKzDJCmrrpBNoGdkJQUCj2FRdLPw4G10wn/qdv7MH9BxAWHIK2bd3gFd4TvcbMkeHlSWRlONovtDaY5m/uS1/2oYdvCwlmnZm19xd0iOiF8KzRMqpowVmzEUTPV8mgSVl7roB8iPaXUdOXI3HVPulMmb3/GgYt34XB644idsFG2RY9qwgpG44jc9clJKwsRr8ZK8Hob8LKvVIvt7TXouAkAAAgAElEQVS7gkuQWUPGIamt7hn4FEePHMWY0WPhFxgCn2590WPkTGTsuihE1hm/WkwzuyMvM21YuFlooueslq9M8+fJO1Euw/kFh0UomTVkfgf9rQ+ZpYMBh33uEBKBPr37oOz+ffz+0XpDcgeFyGVvmw4GO7Zvr3YwSMn7ooOB6TtCyaxrZRlbkVnjYApTl+A7Tz/06tkbN2/exPt374wDP3BwiGdVz1C0YiUi+/SFm4c3/PsPRvxP26slASSdX2lpMM3b1cscAbR65n/WmdTL0o82PNsymSXxTN9+FqHJuRJNDh6UjYC4NHQZNlGGuqfu1rN7NHwi4yUAyP4pHl2j4N07Ts4ZOCBdjvWNGgSvHjFGElz33pqvQ5pLkVnTIsyv+ufPn2Pnjh3oEtEZ37RqC/fOfeSrgi+7+meg5kuklswQ9n4tJbOmudj5l+tDZulg0K3we7Rr746lS35SBwMnzh4MTDx98hRdwiPA0Y8GLNn2RQcD0/eaklknzhgWHs1mZNZAJI+Wina1dVs3jBoxQnxmGY1la/GNa9dl4J9W//oWrdp7os+kRRJRZQcv62QFX+cdjBAnrz2M9mHdEDNvLeiCYB6wowMDpXvkQElrDoojQ+7RuzKaGPW/SWsOoI1vMPz7p0hnsqEHb2Lg8l34l5sn2oV0QfzSHRhy4CbStp5BQGwqSG4zd1/+otzHtEw2xbLLkllWkrTFoNiaX0tz5sxFtx690N4vGJ0yRkji0YjYPNGbAnQ9x9cL4OcwUjJr4W3txKusJbN8YVNb1trDF7GxA6TjH48l6dHJ+RCggwF7elvrYGD6PlEy63z54UtPZEsyaxxMYeVetA8Oh4+3D7Zu3SquBsuXLkPXLt3QwdsPIYMyJZA29NBtFHzJqcBKqYEhv1N6RRlASFIOOmWOErmBcBqzaG/6trPw6hUrLZ7ZxVfB96nMZ5+IxIEE1z2itzhB0duWBJfktY1PMEJT8sBjWK6oE2ZfFu9escjYeUHJ7JcyZlNvY2XHUP/Tp09x6OAhFBYOh6dvALy7RqLXmNmSSEw4ZgpDBtHfhpPRxmKnZLapS4B9n88aMssvcoksDBmDNm3aYuGChUaLG/t+Or27hiDAd/btW7eQlJgsDgbxP279qoOB6XtHyWxDUHfcY2xKZmvIJ6Vvfaf+hL9/2wZ9+/ZDXGwc/PwCQKeCPhMXSLRzWEl50wXPKDM490T6AtHVIGhgJlI2najpSFa3/qaFl1tYNwni8V1qWl5Y5yb9fBBePfuj/7y1orkVCcXx+2gb0EmkCCSx1OpS6tVzzBzZl5Iv0/M097LLRmbNiyZfkAz9V1VVYffu3YjoGI5WbdtL2J0iaGY0lR7ULQTNnUHNz28VmS1Rzax5/nbU/1aRWToYrCyWThPqYOCoKW3dffM9zTxhcDCgLzgjRKzIzN8Vn/uvZNY6rJ1lL3sgs4YP7sABGfjbP7/FX//2D9GW0j2JLcBNJSkw5HkSWZLS4MQh4mxAzauQ5c+UE7ZqtQvpDDo7kZgazsNfA5mlPjZ2wQaRHhjJbGAndMmbXN3hS8ms/RQZvijZQezVq1e4evUqZsyYiW49e8PNNxgR2aPFBoovQiauaWLrcsuR3MLzT6U5o++0ZYgYOg6xP2xA3KJNteaYuT+LZidArbnsp3A18E6+Rmb50maHQFrP0MFg/tx56mDQQKwd4TBxMKiqQmJCItx8g8RPUwIN9Wh+VTLrCCnddPdoD2SWHMEwmEJYagF6jf+hQU4F1nCNwrNPQFcCRmRDknOrrb1KvuyIkL7jnHTu6j1hgVGKQJ7DmZ3DKDNQMtt0ebLFzsQKlHrayspKHDp0CLk5ufAOCIFP9yj0Hj+/Wh9ysgIkVtZkLt2nCcluzegmKRtLxJ6r38wVovOhu4Fhjpy6BH79EhEQGKJuBi1WaprnQl8js+JgsPMCOgSHI7JPJMrLyvH7x4/NczN6VpsjQAcD+nF6+/ijY2q+1Q4Gpu9gJbM2T8YWvQF7IbOMzpLQsiWB7gIknU3f2lsFalo7ZY6UOpAdI6mH5ZDvvC6jtfnkLmYBOUZju4+cAc9uUYievVoIbfr2c2LFNezYfZEf+PQZgLiFm4yt1Iwoc0RVamRldDFDZHbsXCG+qplt0Wz+5YsxUktSy3GU161di7CQMPyr1Xfw7h2LxDUHRR9inilMX5q63IQk1jTyUqMHEoH66cfIN5ulYI6YgaDQcCWzX87idr/1a2SWDgZdC6bArYOHOhjYfWo27gaZFxhgEAeDkAjxw6x+/1ovMeA7Wcls49LB0Y62FzLbEnyAhDlmzhrxtv17q7YysmkrrwC08gqUmfZalDawH5Dp/Ygs4fAd6SjWxi9UBljgcYFx6UJsGZn1jxmM+CXbpPyIzKCkTDqF9Rg1S6QSJOc8L6O7/jHJyNyjbgZ2VVYMUVqOmXzt2jVMnz4DEV17oL1/KMKzx4jlRd5JtfIyLRgtsiw+ek8lOs4IuenMZmf6BqvPrF0VpQbdzJfILD9m+GJu7e6DOHUwaBC+jnQQHQxWr1pt4mDwS4MiW0pmHSnVG3+vrkRmWfdygISBS3ci9of1iFu0GQMWbzHOHNCAAQCJCpsHiM4+kQhrysbj8qE4cNkukSuQoPIY2ntl779uHMCB8gP2VWDkl+9iEmmel+4J1RpdjlrWTAEtC+fl9RnICk3KQUhYeJ2M8//UWeOiK1ip/vbbb3j86BEOHTyI3Nxh8PQLFOlBnwkLZMQNS+H7lkxMvVZ1wdFBE5ynkH6OzPLFJQ4G2WPQprU6GDhPilt+EraS3TI4GLRxq44QnaxoUGWpZNYyxs661tXILKOsJJckoXVm2n59Sd5QQ0gph+AsI49JS+hTOU5GDjN0IjtfJdu5ju9j4R81+/K4lm61VjLbgBLMTmKVjx+jaOVKhIWGoVXbDqJP4ZcLiVTT62Ba7uvGGQixktkGZGo7PeSzZPYcHQz2wiuiJ4L8A8Qr+o8//rDTp9DbagwCJLJ0mjE4GLC5s74OBqbvNSWzjUkNxzvW1cisaV53pWUlsw0om6xgP374IF6Wly9fxtTvp6FjRBe0D+yIzkPHYfCG46IrMX6tWAiJu1Ima+lnVTLbgExtp4dYIrPiYFDyycFg4Q8/qIOBnaZfU9wWHQyePXuGxEEJ4ixDz8v6OhiYvoOUzDZFqjjOOZTMukYwTMlsI8okIwaUHjx69AjFe/ciPSMLHr6B8OnRD32n/Ci9Chmqb+lwu+mL2xWXlcw2IlPb2aGWyCwdDDJ3XUT7oE4ynvmDBw/UwcDO0q0pb4cOBtu2bIW3jx86phU0yMHA9D2oZLYpU8f+z6VkVsksc6lqZq0oqyS1jB48rpEehAQFo3U7d5Ee0IyY5EqjtC1XoJTMWpFpHWQXS2RWHAzyJqF9B0/89OMS8Ybmfjo5HwJMV/ZT6NwpHJ6hnWscDDgaY/0cDJTMOl/esPaJlMy2XN1rWs5aelkjs9aWiK/sx5cuh8V98eIFzp87j0mTp6BTRFe4BXZEl2GTRHogUVr1pm1Qp436FAwls1/JrA60uTaZjcCQ/delp+y37b0QFBiMDes3iMSAH5P8qNTJuRB4/+4dVhUV1TgYFFYbuhs6mzRQvqWRWefKI197GiWzSmaZRzQy+7WSYradHRVIaiseVGDfvn0YnJwCT/9g+PXqj34zVmDooVvSw1Ajtc1XwJTMmmVKB/5bi8wGRYBG3p2zR6PVt22QnZmFUcNH4MfFi1F69y7YHE1faB6jk+MjwI+TWzdvIikxGf+ig8FP28Xbuz4ftpb2VTLr+HmjPk+gZLb56lpL5ctW6zQyW59SUY99+SL+QCuvx4+xaMFChIaE4Zs27RA8MBOD1x+rIbQ6glhzZHwls/XIqHa+6ycymyJG4DHzfoY3HQz8/HH50mU8fPgQa3/+GfnDhmHj+g14UF4uOnYltHaesF+5Pb4/xcFg9Wr4+PojIDZVRjFqiiCAktmvgO9km5XMKpllltbIbCMKNl/GtPF68fw5zp07hwkTJyEotBM6hHRGl7zJSNt6WkhtcxA6Vz6nktlGZFo7O9RAZhMTk9HaKwAhiUPh6eOPxQsW4tXLl9IKwohseVmZDHM6f+48rFpZhDu3b0uEVqUHdpagVt4OZSPPnz/HoIGD0N4vWAzbh5U0jQm7klkrE8FJdlMyq2SWWVnJbBMUaFbI1H6x1/X+/fuRPDgV7nQ96N4P0TNXYuih28g/9UhGsXJlEtpUz65ktgkyrZ2cwkBmBw1MwD/bdEArNw/0jYzCw4oK+VA03CbJz+tXr8RvdvHCRVhdtEoie0pmDQg51i8/ULZu3iwOBp3SChvtYGD6blEy61h5obF3q2RWySzzkJLZxpYks+Np5VVWVoZ5c+YgJDgUrTt4ITQ5FymbTlTrwRrZucH0pe2qy0pmzTKdA/81kNn4uAH4v//v/8F337YSBwNL2li2hLx+/RqMzp48cQL/+fNP7RTmgGnPNKd8xOhgsHgL6C3cGAcD03dhQ8ksP4wMswPC6rK3rGRWySwzv5LZJn4FsMIloaXrwalTpzB+wiQEBIfBPbQLuhVMlQ4uHIJORxFreAFUMtvEmdaGpzOQ2YFxA/Df/+f/Q0xUtGhlud486vr+/XtcOH8BixYswONHj+tst+Fj6KXrgQBbsYpWGhwMCprEwaCxZJYfTw8rHuLc2XMyWE49Hkd3tTECSmYbXpealht7X9YOYDYqaKyIRetXXo5dO3Yipn8c3P2C4NOzP2Lnr5Nx5zm+cqFaedXbykvJrI0ydTNclqT19q3bIJn963/9N6ZN/V6IKj8KTcks96OGdtKEiTh96pR8MDbD7egpmxkBpqnRwaB1OwxcuqNJHAxMK+L6RmaZ116+fIkJ48YhadAg0WM3Mwx6+iZEQMmskllmJ43MNmGhsnQqVsL86n9Q/gBzZs1GgH8AWrl5InTwMKRuPom8Uw91wIV6+kkqmbWU0xxzHcvH9WvXEBcTI2Q2dfBgHDl8WMjFH3/8YWz2ZUfL40ePYmRhoQ5t65hJLWlJ4rimxsEgcEB6kzkYNJTMkly/+/VXrC4qQnhYR/Ts1h0XL1z4IsI8hvmWMpf//PkfY0dErjdu4/b//Ed03bJvzX/TZe6rU+MRUDKrZJa5SMls48vSF89geLlRelBVVYWSkhKMGTMOgSGd0D60K7oPn4a0bWdRcLZSSa2VpFbJ7BeznENtZOV++/ZtDIwfiL/89e9o064DgoJCkDNkKHZu34EnlZXSEay8rBwzp03HpYsXxeHAoR5Sb1YQYCe+ly9eSFq39wtB8rojGFZSXu+WGVPiamnZ2sgs3838YDp86DAS4gdiyeLFiI2OljxmKcm4P8l4eXk5tm7eglkzZmLOrFmyzOeiTSOJ1enTp7FxwwbMnjkL8+bMlY8zaoSPHDqMhT/8IOvZ+e3p06cysqSla+k66xFQMqtklrlFyaz1ZabRe/LFSd1f2f372LVzF6Kj+4v0wK9PHOIWbUbukbvgKGJN1RHC0oveGdYpmW10VrSbE5DM0mYrISER37r7InLqEvhFDkA7d2+EhnVCVmaWkIFNGzfix0WL8erlKyUAdpN61t8IiSBlV1s2bYaXtx86pQ9vUgcD0/eatWT237//LoPfDM8vwNo1a3DqxEkMGhCPy5cuWXwwkvGKigqMHjkKA+PiMHniREwcNx4Fw/KkJeHG9Rvo27sP4vrHImfIEMyYNh2Zaeno3b0HJo2fgJTkZEydPAVjRo1C3969sW7tWrx+9dritXSl9QgomVUyy9yiZNb6MtNke7ICf/fuHUpLSzFl8mQEB4fi23YeCM8aiZRNJUJoVUv7+QKqZLbJsqLNT2Qgs0nJqWgXFIHsfdcw5OBN9JtVBI9uUWjVrgPatv4OoUHBEvWiNylJBcmRTo6DANO54sEDRHTsBM+wLohbvAUFZ5vOwaC+ZJb5h84Y/ECaPHESbt28hevXriM5MfGzZJZk/Oc1a0TfffbMGTme5+C7nDKYa1evokt4BOJi+uPG9evio3vzxk30i+yLIP8AHDxwQFrnHj16hPnz5iElKVnkZ46TivZ5p0pmP19XmpYLR1/WDmD2Wf6kuYrD4lJ6cOzYcYwYOQqevgHwCO+B7iNnSg/fgtOPm7wJztEzNO9fyaydZuoG3FYtMhvcGUMP3pKPuWHH7yNj5wXEzFmNkIGZaNPBC/7+gRLx2rVzp7GJVkltA0C3wSF0MFi5YiVaf9sa4WkFyCr+pdlkVdZEZin72ldcjKSBg3Dh3PmayOp1DP4CmeXgONmZmVi0cCEeP3okEgW2tlF6wF9qv3t17yEyAn50sa/Eq1evkJGWJlHZyspK6bj45s0b7N61Cwnx8bh//74NUsO5LqlkVsksc7RGZm1crvkifPv2rUgP9uzZi34xsWjvUz3gwoDFW5B7tBQktU0xzKMzEFklszbOsE18eXMym3P4jvEDjjry3GMktRcR+8N6UI7j5uGNkNCOIj8oOV4i0a/f3v8mhEKJbRMnThOdjuly8+ZNJCUm41+t2mLgsp1N7mBg+m77Gpnl/Vy+fBnxsXHiaXyvtFTIKV0yYmNixMOY72QSVNOJGteYqChQ8kKSajoxHzMaG9mrtwzoweN5HcrKhmZnixSBx/CcJNKM0pLM8to6NQ4BJbNKZpmDlMw2rhw12dF88bFX7c0bNzBh3HjpBPOdlz8654xH6pZT1cPi6oALQnTqE5klrpxZ2Rhm/tfJPhD4Epn9RFCqJFo75MBN9JtZBM/u/dDazR0d3DqgsKAQx48dr+V+YB9PpndBBFjWTB0MguIzm8XB4FNeYcvNA/QcOQMeHt44dOgwPn74WCsxeD9zZs9Gp9AwDMnKxoiCQowsHC76Vn8fH6SnpmHZ0qUSZDB9Vzx98gT9o6NF62qRzF67LprZtWt+Fn0wjyWZzckegsK8fJElKJmtlRRN8kfJrJJZZiQls01SnJrmJHzJ8uVH6cGRI0dEeuDlGwjPiF7oMXqWNM3Rm9bVB1ywlsySKBHPRw8fCeHZt7cYZ06fBpsLqbvUyfYIWEdmn6Hw3NNa8oP+c9cgNCELHXwCEBISiqHZQ8TPuaqmh7gpCbH9U7ruHbCckfjFx8WjvX8oBq8/imElZcbouykJbarlr5FZ5rnz58+L48D6teuwccNGIah0HugaEYHZs2bh6JGj+PDbh1oJ9/LFS4wdPVqCDXQ04HkMs0FmwA5gSmZrwdbsf5TMKpllJlMy2+xFrX4XYCXMFyR1VdRTbdq4CZ27doe7XzD8IuORWFRcLT1wYSsva8gsMSSRpb4yOSER/ftFI7pvFGKi+qEwP1+GHObHg062RYDpRDcD6QAW3BmmMoPPkZtq+cE9ZO6i/GADfHtXyw+Cg8OQmZGJEyU18oPfVH5gy9Tlu4ytTZs3bqx2MMgYXv3uOlNpUzLL+2J/BXboevP6jczPnz3H+XPnMGjAALBzFzt1mb8f3r97LzZe0VFRWLxwkUjDSu+W4uiRI0LYr129Jp291q9bJ8/N61BSMCwnR6K/fKeT9PLahw4eRFJCgpzDlmnkDNdWMqtklvlYyawdl2a+TKkHvH3rFiZOmAg/vwC08fBFl9wJSNt2xmW1tNaQWWL35MkTzJ09G8uXLQNtc8rLynBg/36wMpo2dapUKqxwzCeuI8niOQwz/xvWm2/jPlxnvt5wjPn59f8nBIhRfcmskeSery0/8OoRg9ZuHnBv7y7yg6NHj8qw0iQQltL5013oUnMgwLR9UF4uDgZeRgcDEtkqm5JZS8/KCDLdZUaPHClSL0v78HnE0WD1aiQNSkCfnr0Q1buPtArQR5YSsSGZWWK7yA9pTiSuUyZNFpuuX9++lfcJnQ9OnTyJEQUFeFhRYelSuq4eCCiZVTLL7KJkth6FpqV3ZQVMosQXI3vC0tw7L68A3v7BcA/vhV5j5yJr7xUUnnviUtIDa8gssWMFxY4YnFmpEEcS3EkTJiAzPUMqJlZQphPxZoV1+tRpLFywABPHj5feycePHZNoDaN+q4qKcOH8eSyYP1+2/zBvvtj53LlzB6tWFon/5Izp08Ufldc1v4bp9Vx9mdg0mMxeeCbDQdObudr94CJi561FaEJ2tfwgOFTIxc4dO0W6w/ygpLblchwdDFYsX2F0MMguvtoiw3d/TWZgCQHmQ74fSu/elVYxS/sY3sd8Pzx48AAXL17ElctXUPn4sTgX8D1z5/YdPH3y1Nh5jO+Te/fuoex+mdFSjusoveD7ghFgnRqHgJJZJbPMQUpmG1eOWuxoVsT8sr9Xeg+bNm1G16490MEvGAH9EpG4an+NAblrWHlZQ2YNCcNKitixuY+ekJRu5A/Lw/dTpuC39+/rEE1ifPLECfGKzM7IxPy580Qjt2HdOjm+aMVKRPWJlBGDxo0eI6MAUb4wMG4AEgcOAo/hqEAZqWmIjY6RJkta9OhkGYHGklljlPbCMxlFL/fYPWTuvozYhRvh2zsWbh4+CAwKQXpa+if5gbofWE6MJlxL4kePVToY/LPVdxi0fHezOhiY5oOGkFk+uoGskmx+aTLsx3LN+c+ayD/zMo/lzH0ME1sGTNdxG/flev7q1DgElMwqmWUOUjLbuHLU4kfz5ff2zRsx6B45fASCgkPRxssf3Qq/R9rW02AHMWe38aoPmSWRpSfk4UOHQEI6ZuQoZKVnSCTVUvMzjd1TB6dg4vgJQnwZbaHWjRHWN69fY/GiRegYEgpGY+klyYj53t174OPpJUSWzarcj02OKcmDsfSnnz4b6WnxzGOHF2R+bkxk1pTEGJeN8oMb6DdzJbx69kfr9p7wcPfA8IJCHDl8RNJO0v8/n0iHHcLjkLdkIHtrVq2Gt48/ggdlN7uDgTHtxYf6y24GDgmq3vRnEVAyq2SWmUPJ7GeLiH1uYEXBStjQZL7/wAHk5A5De09feHWNRO+JCzH00C0UNHMnC9PKo6WX60NmSUIvXbiI8WPGYtjQHLHWYdT0zOkzxmY/prShAj539hx6duuOg/v3i9yAWHOWj4i3b4XM9u7RA9euXZNRf9jkSMlBz67dsG3rVmk2/KNm2EvqcufOnlPHk9I+c5Zt7qpZyKy5/EA6iq1DWGI22nv7IzgoBFkZmdi5YweeVT2rlQ9sg4JzXZUfkGxGj4uNEweDlA3Hm93BwPQd1NDIrHOlgus8jZJZJbPM7UpmHbjMk2QZms43btyELt16ws0nAL50PVi1D8OOl1WTWifzp60PmWXFysgqh5C8f+8+rv5yFWNHjxEvSWJHMsWJZJb7Fu/diz49e+LK5cvShGiaPUhcGZnl8JQkQWw6/PjhA67+8ov4Sx4+eEiIL8/1pLISs2fOFL3ty5cvTU+jyyYINBeZ/URuqozyg6w9VxC7YAO8u0XBzd0bAQFBSEtJw4mSE9WDL6j7gUnKNGyReZ8OBhvWr4eXty86ZYxoEQeDT+n9dZ/Zhj2ZHmWvCFST2UDEL94seY0tk+azq9tZmpYPh1i2kIbsG5Rz5C5Ck4YiJCy8TnZUMlsHEsdbQUJAwsYIYUFePvwDgtEuIAw9Rs1E+razyOewuE5EaK0ls6xYORsmLpOQ0u6MetbLly4J+eR2biOZpRyhV7fuOHf2bF0yWxOZpb3Xi+cvapFZ9mrmsfzA4GQks7NmiaG/4R70tzYCzU9mTaIWlB+ceoQh+6+j77Sl8OoRjdbt3OHp7inyA3awpHTEEImvfaf6zxoEmJ5lZWXo3CkcXmFdEbd4i3xMNLeDgWkFrZFZa1LKefYRMusXKJ0/2cmQPsbmc97JBzX50OR9cEGXTcuNXSzXSMSGlZTXSUN28s0qvorgQZkICe1UJwMrma0DieOtIBFjBfzu13d4/Pgxiov3YcjQ3GrpQbco9Jm0CEMP3XaawmwNmSUmhg4axIb/GUll8+dPS5Ygum9f3L5920g+meqsiDnsJiOza3/+WT4QDMcZPhgYmVUy23RlpEXJLOUHZoMvxM5fh9CBGVJWKD/ITEvHzu078PyZyg8aksrsnU8Hgzat2iA8rQAt5WBgWhErmW1IyjnuMSSzbAXw7ROP0JQ8hGePqTOzhSBt6xkp/6Z5RZfti9CTxPaesEDSr1PmqNrpmDUaYakFcAsKlxFSzXOskllzRBz4v4HUkrDRM3HlipUSjqfrQWBsKlI2lojrQeFZx7bysobMkrheu3pVhqUsOV6C8rJysdPZsX276GYnTZgoZJVkynSirQ47dw3o3x+7d+4C/SOvXr0qI4cR1yU//oj+0THgaEA8lp6RvE5M3ygxT+d1OXEcd3rccn5lBzID3isjz3R1oI6YRJ/rmGdsOfEemrwDmDURl/NVIsER94M9lxH7w/pq+YGnj1F+wHzz7NkzwYzpamusbJlO1lyb+IiDQVIy/tWqLQatMDgYNK+vrDkhUTJrTWo5zz4ks97efoiesUI6QWft/QXmc5e8SUhafaDaxtKa94Pu06xe0OZl1vCfQbdOWaPkwyNjx/na6bjnClI3n0RAdJJ0fDfPwUpmzRFxkv+MRrInPke1GV44HN7evmjnH4YeI2cgY9cFh3Y9sIbMkrjduH4dUyZNEhstjgDGOTV5sOhY6ftoIJ6mSU6iR+I7c9p0sdqiHCEpIVEitdS+bly/3jjOOokYSeHdO3eQl5Mr0gTDOdlcvbqoSGZKQGw5kWQwYsYRivYX78O+4mK5V5Jzw/3a6v5sRmZNKyuRHzw0yg+86X7g5gEvDy8U5hfi4IGDQmqZp3i/OtVFgHmMecngYBCSlNOiDgaGypC/Smbrpo8zr6nWzAYh/sctEqwxzQuG5Z6jZyuZNX3n2eny0IO3hMwOOXADeSXltQg1ddC5R0sRmpSjmllnLtDmz8bKRaQH796hoqIC+/btR1pappjJe3SJRN/vfwIzDptdHU1Paw2Z/d+aqOmLFy8kSk0id4+J3n4AAB+0SURBVP3adTwofyCd5khCiZH5RLLCaCuPu1daiuvXroFDVvLDgMfQiotk13A89ydRFLP116+N5+Q5OEADZ5IgW03MAyTWM6fPQEpyMgrzCzA8v0BGMBo1fIQMJmBLgsZr2yQya/YyN5cfxC3YIPIDN09fBAUGS4dBuh8QS6anpbxjqzS2h+sSE7ZAxMbE2sTBwEBalMzaQ25o2XtQMmtfUgHTsljfZSWzLVt2HOpqrHRJvNhzn6PTLFu2HB3DO6ODfwhCBmUhZeNx5B6771B6WmvIrCGRSJZY0f7+8Xf5ZfTIGiLC40gEiR1/+Z/Hcdn0HFxn2Je/honL3M90X8O2lvzl9Um2lyxejNOnTqG8vFxI+q6dO6WTzpZNm+UZze/J8Kw8lsSe7g0kK8SDeHJwCW779e2voi9lczwj0NxO2zhGfaueVuH1q1cia/gc5sTJHsis8aVrkB8cvYdMkR+sg0/3fmjv5WeUHxw7egxVT5/KUNO2Tl/zdLPFf6Yt88K6n9fCy9vPJg4GxvTTyKwtsoBNr6lkVsksM6DKDGxaDFv24qx42VROUpM7NAd+dD0I7Ihe4+aB+pSCs5UOMeBCfchsyyJsf1cj0WC6G0go75D/H1Y8RLfOXcQHl+TTfCJpr3xciW1btohUY2ThcMyeMVNsyBilXr92HdatXYsd27Zj/NixGDViJH5ctAi3b93CsaNHRSvMKDDtyc6eOSMfAZYIrd2RWZOILZu18k89RHaN+4F3r1iRH3h7eov84MD+Ayo/qOk4yZH1uoRHwKujbRwMlMyal2DX+a9kVsksc7uSWdcp8xJZZFSNURRKD3bv3oOk5BS09fCBd48Y9JtZ9KmDmEmlblpR2MOyktn6ZVqSSJJGA5kkUb1967aQD2ocqRM2n+jLy2F52dltzapVOLB/P9asXo1frvyCZ1VVGFFYiB5du8nv3j17JCrHIX3pwZuWkoJVRUU4sG8/Rg0fjuSEBLEqY94zn+yZzDKvm8sPBizahNCBmTJMLuUHaYNTZPAFRq/5fAaMzZ/Tmf/zfbJi+XK0af0dwtMKkb3vGgrPP62ld2vJ94ZqZp05t9V9NiWzSmaZK5TM1i0bLrGGkTrRk969i8WLf0R4l+5o7xeMkIRsDF53tHrABTt1PVAy2/AsSrJFCcD6devQq3sP3Lt3T6KmpmfkPidPnBAv3sMHD0qElscwv5D40qkhZ8gQREdVOzgw2v/gwQMsWrAA7du2w8rlK8Qijo4PBw8cQMLAgTKE7IfffjO9jCzbO5k1kjAz+UH/+evg0yNaNOgy+EJqmjwjNdJ0jHAV+QHzCoduTkpMxjdt3JCwYg/yTlagJX1ljWlU8wGuZLZOMXPqFSSz3r7+iJldJC2MQw7ehPncOWc8BizeIp08zbfp/7p42QqT1C2nEJwwRFwLMndfqp2OB24gffs5BMamIDgkrE6eVjJbBxLXWcGKiJUuScrxY8eQM2QovH0D4N6xO/pMXIjMXZfscgQxJbMNy6MkjvyIOXLoMLIzMrFxwwa8NXNaYJ5g5HbVypXi/EDf4n///nutC1Ify7ySO3SokFZupFRh25at8PH0ksEoDFFKRnKHZmWDlmiM4JlPDkNmTVoqTOUHUdOWwadPHNq4ucPHy0c62O3ft884TC6fz1knQ16pdjDwQ+jgYTZzMDAltEpmnTXHWX6uopVF8PHxhW+v/hKM6ZiaB/PZPbwH/CLj0TFlWJ1t5vvq/7r4tRQmHBDBLTgCwfHpCE0cUjutUvIQmpgNt4AwhISE1skMSmbrQOJaK1ghkXiwQ8/Digrs2rULCYnJaOvuA5+e/RE9exU48gaHkjOtMGy5rGS2/nmU6UwyeezIUaQkJWPZT0tFP23e9G8gvIsXLsSwnBy8qBkRy/SKBjI7oqDQOLrZb+/fY/u2bfD39hELMENkkkP95mRnyzZnIbPM+7XkB7suii2QQX4QGBCElOTB2LljpxFj4u9sE/MOOwXGRMegvX+YdCblyEu2fDfw2kpmnS2nffl5jh07hrSUVERGRiGybz9E9oupM/fpE4U+ffoiMqruNkv76zob4dQ3Gn0io2SO7BtdOx2ZdlHR6Nu3H8aNHVcnUyiZrQOJa66glRUrJ5KXWzdvYd7c+QjpGAH3gDB0TM2XsD9dD+zBykvJbP3yKIkUO22dPHESgwbE48eFi/D0yROLTeEks8wHK5YtR3pKqliRmRNeA5kdOXwEXr96LTfDpnV2BvP38RU7MwOZ5YASOdlDnI7MGgmbUX5QKu4H/eethW+PGLj7Bla7H6SmgcPk0tLNID+oX+rZ596GjyPqqL18qh0MOG56wZlKJbP2mWROe1ccopydVe+V3hMbRVop6uy8GNy/dw/lZWV18rOS2TqQ6AqJuLx6Jc3ROUNz4e7hDY9OPWSYOXbuYIXFplZjhW7SBNsS65TMWp9HDeSUDgNDsrKwYP4PeFL5RLx0zW3GeFaSFB5DrWtcTH+UHD8OVhbclzO31SKzr12czJrkfaP8YN91RE1fBt/IeJEf+Hr7oiAvH8V7i8XXl+WLODpytJb3T/LQJbzzJwcDIbK2ey8Y3j0ambX+/aB7KgLOgoCSWWdJySZ8Dlayf9RID8rKysT1IDYuHm7e/vDsFoX+89dXux7YiNAqmbU+sdlh6/Sp0+jTs5c4E5DMUmO29ue1Yq1FlwIOBGA6Mf3pR8vR0/r27iOuBmvX/Cw2XofYIayyUjSzEplVMlvro85UfpC56yIGLtkmgy+0c/dGgH8gBicmY5cTyA8oGVm+bDm+EweDgmoHAw7AYkLubbWsZNa0NOuyIuAaCCiZdY10btBTktQYRsO6du0aZs6ajbDwLnAP7IjwzJEiPRh2vAwFdD1owUpMyaz1yfnxwwfs21uM+Ng4RPeNkpG/BicmiW6W2tkJ48ZZbLJ5/+4dHpSXg9pZduDivmNGjsKlS5fw8sULGRJ4/tx5eP+u2qOWHcsY/U0cOAhl9+8bI4/0H50xbZp0MOS9mE+M8NnVoAlNlY8tyQ969YeHX7BRfsBhch8/euxw8gO+FwwOBt+27YCElTUOBjb6uDV/9yiZNS9l+l8RcH4ElMw6fxo3+glZebFplM3LNIrPzMiEl18g3MN7InLKj8jac6VFB1xQMmt9klK7SsJJmyyOyGU+v31TPUyvpTNSVsAIHMkro7e05/r940dxRKAGl+T0zz/+lENJSvnh8+b1a8krzDOcuI5aUUaIuY/55LRk1oQUf5IfXEPU9OXw7TuwlvyAPr1VVVWCG/EwYGeOlT38570xX6xetRrePn4IS83HkP03bCo7UjJrDzlD70ERsC0CSmZti7/DXN1AaEliKD3YunU7+vaNxncevvDpHYcBS7ZJL2LpIGZSkZtXNE3xX8ms9dmG6UZCy48RRk/NZ4MO1tIZTY/l8YZ92VmQ5zQlXtyX/7kPlw0T1xlm0/Wm250yMmtWBmrJD3ZfwqClO2rkB14I8A9AckIidu3chVcvX9XB0ICVPfwyH9DBoF9UP7QPsB8HA9P3ikZm7SGn6D0oAi2LgJLZlsXb4a9GQsJo27OqZ7h54ya+/34aOsmACyGIyB6DlE0lNaS2+aQHSmYdPhsZH4BE1xXIrJFsmcoPdl9G/7k/w693HDz8Q0R+kJGWLq0fHIHN3twPWPYZqV+1sghePv7olDEC9uJgYMRXrbmMZUsXFAFXQkDJrCuldhM+Kys2Rmlo8cRm0oy0DLh7+cGrWxT6fv+TdAgpOFuJ4c2go1My24QJaeNTuRyZNYnYGuUHxVdFfuAXNQht3Dzg5+OH/GF52L1rt13JD5hWpaWl6Bph6mDw2KajfZmSWMOyRmZtXKj18oqADRBQMmsD0J3lkkJof/8db968EenB5i1bQaPjNu7eYksUT+nByYpqb1qTStxQ6TT0V8mss+QgiATBpSKzZuWgtvzgMgYt21UtP+jgBX+/AOlQt5vyg1e2lx8YHQzatEWntAIZGrQlZEX1fU8omXWe94M+iSJgLQJKZq1FSvf7LAKM2FB6wM5FV65cwcSJkxAa3gUeweHokjcJaVtOgSMDFZ5vGuseJbOfTQqH2+DKkdlaJM1MfhAz92f4R8bDMyC0Wn6QnoH9xfvw8OFDm8gP+OFqcDBo1c4DCSv3yodqc7S81MLFjPxbs03JrMO9BvSGFYFGI6BkttEQ6glMERA97bNn2Ll9BzLSM9G2vQe8e0SL9ED0dWcbP+CCkllTxB17Wcnsszq2dvzoyz/1EFnFV9Fvxgr49Uuolh/4+iEvdxh27dwpH46U+RA/Es3GTDzeMFs6D7eJg0HRKnh7+6FjeqHdORiYklwls5ZSUdcpAs6NgJJZ507fFn86Vq6sZCk9KC29h23bd6BHz95o6+UPrx4xGLR8N0hGGzOCmJLZFk/WZrugktm6ZJbETAjt6UcYdvw+svZcRsLy3QiNT0fbDp7w8/VHQvxA0dQ2Vn5gIKossySsliZue/nyJaIio2ocDEqkpcWUQNrTspJZS6mo6xQB50ZAyaxzp6/Nno6VJHtj0z/zwoULGDd+IsLCu8IjpDO6FUxF2tbTDbbyUjJrs2Rt8gsrmbVMZo3k0FR+sOcyKD8IiBoEz8AwkR9kpmeieO9eVFRUNEh+QKu2C+fPY+EPC3D2zFkpr2xdYbpwYjmmVnbl8uXw9q1xMDh8R4a0Nt5jA6QAzXmsktkmL6Z6QkXA7hFQMmv3SeTYN8jK8PePv+Px48fYsX0HBienwN0nAD49+0sT6tADN1HIEcTq4XqgZNax84Tp3X8isyloFxSBoYduSYdBdiyqNVNvXY880pxkyVbnNsoP9v6CfjNXwj86EW3ae8Lf1x/DcnKxc0f95AfE/vmz5yjMzxe7LRLaeXPnoeR4Cd68fiORWkZr7965g26du8CrY1fELd6CgjN24GBwvkpad2rlkZo8Q31+jxHT4eHhhUOHDuPjh4+mWU6XFQFFwAkRUDLrhIlqb4/ESpMRIEoP7pXew9q16xAaFi4DLlAPOHj9MdEIWttBTMmsvaVww+/HQGYTkwbjO/8wZO6+hNxj9+rMbG7PP/mwyZ0xbEVMG3rdWvKDvVeQuGIPQig/aO8pll4DB8Rjz+49VrkfcFS2I4cPY86s2fKxyRH+fvnlF/k/dvQYidjSeu+nJUvwXevvahwMbtg8DUhgC04/xrCS8jr5hHlnyP7r6JY3CR7unjh08JCS2YYXTz1SEXAYBJTMOkxSOf6NkrhQevDkyRNxPRgzZhzCIrrBLSAM3UdMQ+qWU9Wk9tyXXQ+UzDp+XjA8gZHMJibjn+080ClzJLoWTK0zRwwdJ0Mn559+ZHMy1VAi2qTHmcoPdlN+sAaB0YnwCupYLT/IyMTe3XtQ8aBafkCcTSe2mDyprMSiBQtx5fJl/Prrr6J15wh/LJ+Mzk6dNBlTJk1G38gotHKjg0GxXTgYMA/EL92BiCFj0SVvssW84tMjRsmsaYLrsiLg5AgomXXyBLbHx2PFSl3ew4oKbN28BUmJyXDz9IVfZDyiZ69CDjV5XxhwQcmsPaZqw+7JlMy28gpAQlExUjadqD1vLEH/+evQJX+KdIgSWYqd6TSblKjW89k+yQ+uoN/MIvhHJ+E7yg/8ApA7NAc7tm+v437A4YhPnjiBpT/9JMPTmnb+Yprwo5M63JHDR6B167Yy2hcjno3puNlUGOWVlCNy6hL0mbQYyWsP184rm04gae1hiSJ7dPDQyGzDiqUepQg4HAJKZh0uyZzjhllhUnrA3tj37t3D6tVrEN65G1q7+8A/ZrBUUhKFs6CTVDLrHHmAT2Egs0nJKWgbGC5NxEx305kDbyT9fAjdR81E7rH7KKDGup6Ez9n3/yQ/KEPW3l+QuHIvQgakiTWer7cv4mMHYO+evVLeKC+g5Gfm9BkSgWU5ZKTWdPr940c8ffoUPbv3RDu/EKRsPG43DgYGMhu7YCNyjpbWyivMN7QA7F74vWpmTRNUlxUBJ0dAyayTJ7C9Px4jRIwCVVZW4vTpMygsHIFQuh6EdUXPMXOQvu1steuBCalVMmvvqWr9/X0is6loF9xZovLmxJMaycEbjqHH6NmikZSovZJZi4SekdOCM5XIPVqKzBr5QVBMMryCO4n8ICszC9u2bsX6tesw/fvv8aTyCVgGTSeDg8HypUvh7RsgUVlpLTlTafGa5unV3P8NZJad0ehcYH49dTMwTU1dVgRcAwEls66Rznb/lKxAhdQ+rsSG9euRmJiE1m7u8I9KQMyc1RIVYkSOlbWSWbtPTqtvUMnsV6y5GkHa+REggy/suYLoWasQ0D9Z5AdeHl4ICQzCrBkz8aD8gbiNMB0M0VmS2zt37qBbl67iYDDgx6324WBQg4WSWauLl+6oCLgMAkpmXSap7f9BWaGyyfP169e4e7cUP69dh5DQTvjOyx++UYOkqZOVM3sx9xg1C8FhESg5dlyOsf+n0zu0hICS2eYjs4xYUn4gPf+PlyG7+CoSi4oRFJuCb1q3BTWlsdExKN6zF69fvTIOmkBf2eXLlqFtm7bVDgYHbO9gYBp9VTJrqSTpOkXAtRFQMuva6W+XT0+CwwqV0gP2qi4YPgIh4V3g0akHeo2bi+R1R6UHc1BouJJZu0xB62/qE5k1+MzervYPNfiIstn87BMMXn9UPmDYfE6fU0boda4HBozS1uhJM3ddktaOoP6Dxf2AHcWyMjLFp7a8vByXL11CwqBEtG7vhYSVe42Dm9gL3sOOl0kHsLhFm+XD1vy++LHbU31mrS+Euqci4AQIKJl1gkR01kcg0aH0oKysTKQHA+Li0d7bH949Y+DRNQqBQaFKZh088avJ7B0k0WfWLxRpW05hyIEbtebsfdcQ/9N2dM6dgPTt55BVfLXWdvP99X9t/MzxIJ4Zuy8hcfUB9Bg9C+4RvfHNN63g6+WN7IxM5GQPgXsHDwTFZ4hWOXv/dbvCO2PnBfmwiZq+HBm7Lta5N67rkjNOO4A5+LtBb18RqA8CSmbrg5bu2+IIkOzQxouuB6WlpViyZCk8PLzxt7/+D3y9fVByXGUGLZ4oTXhBpu/dO3eRMCgBf/nr/+Bfbp5o5elfa/7Www///K4D/tHGDd+098K3Hr61tpvvr/9r42eOB/H81t1XsP5Hazf85W//wH//13/jL//3v/DPv/0P/v6Xv+Kv//0X/O0f34j3r/nxtv7/TQdv/L1VW/yzbQdw2fx+uO6bNm7w6OCOwxwB7KOOANaERVZPpQjYJQJKZu0yWfSmzBFgp5T3797h8aNHOHniJPJyhyE9JRW3b90yav3Mj9H/9o8AOx29fPESRSuLkDI4BWlpGUjLyKozp6alg3NaemadbZb213V1MbSISXomUlLSMDgpGckJiUhO5Jwk/7k+9TPpYfFcFtKtWfZLz0Rqas29WcoP6ZnIyMjEuLHjpFXH1EPX/kuE3qEioAg0BAElsw1BTY+xGQKM5H2oMXS/V1oqMgSu08lxESDZoEaaw6k+q9JZMWh8Hnj+/Lm05ljy0HXckqJ3rggoAp9DQMns55DR9XaJACN5JK+spP74979l2S5vVG/KagSYpoy8//vf/9ZZMWiSPMAPJM4GuzGrM6PuqAgoAg6JgJJZh0w2vWlFQBFQBBQBRUARUAQUASKgZFbzgSKgCCgCioAioAgoAoqAwyKgZNZhk05vXBFQBBQBRUARUAQUAUVAyazmAUVAEXBZBAx6XWp2VV9Z/2xgwI96Z2pUtTNm/THUIxQBRaDxCCiZbTyGegZFQBFwQARIxOhBeunSJdy4cUP9SOuRhgYS++HDB1y7ehVHjxzF+fPnxUGAHTP1w6AeYOquioAi0GgElMw2GkI9gSKgCDgaAiRbjCaeP3cOXTt3xuQJE/H0yRNHewyb3S+xu3L5CpIGJaBH127o3rkLuoRHiPczh8PVSLfNkkYvrAi4JAJKZl0y2fWhFQHXRoBN4ndu30ZGWhqSEhIxasQIPHz48LOgGOzgOLwyB+9gRNLQrE6bOMP8/v178T5mxNdgNybHvH8vkV9nIXl8/j27d+PHRYtw9swZ3L17F6dOnsKQrCxMmjBBfIP5rJYmA5bEijPPxX3/rLHTIlEmfsSN/sNiw1ezjR7TpsdoBNgSwrpOEXA9BJTMul6a6xMrAi6NAMnU69evMWf2bIwoHI45s2ZjZOFwVDx4YBEXkizuv3/fPsyYNg1TJ0/GimXLZDQ6EtuN6zdIE/vBAwcwa8YMTJk0CZs2bkRlZSUunL+ARQsWYPLEiVj201Lcv39fSJvFCznQShLON2/eiKzAQOxJPlcVFSE+Ng4vXryQyLfpI5F4EnsOaLBn9x5MnTxF5qIVK/HyxQuZ1675GZcuXsLuXbswc/p0wXLnjh14UlkppHnB/B9k3crly/GwokJH/zMFWJcVARdGQMmsCye+Proi4IoIMLJ3/NgxZGdk4kRJCVYXrcLYUaMtklkSsJcvX2Lm9BmI6hOJiePHY96cuRLJJTHlqGW5Q4ciOqqfkLhZM2Zi7Ogx6BgSKk3wPbt1l2Omf/89oiIjJXJJkvu5qKWjpIeBmPI5SFA5k+CS5KckJ1sks9z3119/xaQJE9EvMhLTpk7FrOkzMGr4CCG4HNEvJ3sI+vTshcSBg0AsGTEPD+uIwYlJsn7qpMmYNmUqunfpignjxuHx48eOApnepyKgCDQjAkpmmxFcPbUioAjYDwIkYCRcN67fQFZ6BnZs3w4SqPXr1mHcmDF1yCz3Z2emo0eOoG/v3rI/CezjR49FX8vIZNXTp6ITpW707JmzqHhQgVu3bknEMTggENu3bsODBw9kPnTwICJ79cb5c+el6dx+kGn8nRBXkvTcIUNFekB5gDlhZwSX0WsSVUZeKyoqRNpRVVUlkoLSu6XITEtH1/AIicISt9K7dzE8vwAhgUHYV1yMsvtluH/vnuCaEB+PixcuNP7m9QyKgCLg8AgomXX4JNQHUAQUAWsQYPTw6dOnEoWdMHYcKh9XouppFdavXYexo0fjQXl5rV743P+39+8x/ftpiIuJEVkBdbKGidtJxNJTUjFm1GiJ4HI7JQmUGfTt3Qd379yRqCWJcdn9++gX2Rclx0uEvBnO4+i/JK2MXk+ZNBl5ubm4fOmyxaFkSf5JTEcOHy5YED/TiUQ1OzMLhfkF8pHA7cRz3ty5iIvpL1IDEmLO1DuTzDLCrpMioAgoAkpmNQ8oAoqA0yNAMklN5/KlS5GaPFh64j+pfILysnKsWL4cw/PzcbPGnov7ciKZeksCVlCA1MEpohE1bDNsf1ZVJVFeSg/e/foO//mz+phtW7eK7IAEzTCVl5Uhpl8/lBw/7lRk9vmz56CWNapPH1w8fwG/vv211keB4flJeONjYzFt6vd48fx5nX2IFWUGs2fOEpkCsSZRXvjDApEZvHj+QiLa7BzGiHriwIE4pmTWAK/+KgIujYCSWZdOfn14RcA1ECApYlSW8oL+/aKlOXzk8BEYlpOL6L5RYiuVnzsMJ0tOGDsVCZl9+xbjx4xFQvxAI8EyIMbt1MxSezt/7jzpZW84Zvu2bRg0IB7l5eWG3WW5v4HMvn9vXO+oC4yavnr1CksW/4iCvHycPnUKr16+xJ9/WHYx4DZ+SFDrShs00w8DYkAyS5kCPwxIfLmdeC5asFB0uFxHZwMhs/fuVZPZo0cdFT69b0VAEWhCBJTMNiGYeipFQBGwTwRIZtn8f/jQIWzdvBlbN2/B1i1bsG7tWhTm5QuhpSvBnTt3jHpWEil2FmMPe3ZKunL5stGSi0SOOlFGZrMzLZHZ7U5NZonnq5evpGMcn5+4vn71ymg/RuzMySplBnR2yExLEyxJTIkhseT+1COzM928ufOEFCuZtc+ypHelCNgjAkpm7TFV9J4UAUWgSREgMSIBE8/Xd+/EK/b9u/fSaWl1URFGFBaitLRUyJWBhPGXROv+vfui2czLyRWJwI3r16UzEjswsQOY5cisc5NZRkl/mDcfYcHB8lHAjli3b90SjTBJKT8ciLfpRK1rWVmZkPy83GG4cOGCkNrivXtFe3z3zl0ls6aA6bIioAhYjYCSWauh0h0VAUXA2RCgVRSjisuXLhNiav58JLQkZufOnMXsGTNBQluYny+6TxIzNrPPnT0HmzdtxscPHyXCyGguO3mxQ9QTk1HF2LQ+YexY/HLlikQwza/lSP9J5GdMmy664LTBKcgdmoOCYXkyjxoxEmdPnzFGuA3PRXJLl4OTJ06ILRexLMjLk+guO9LxnCTImzduEt0tj2PElvpjXuvXt2/l44LRXFpyfT9lipBhw/n1VxFQBFwXASWzrpv2+uSKgMsj8PvHj3j+7BkqHz8WSYElQEioGFV89PChdBxjFPLevXvSIYz6TXbsIlFlFJfkl2Tr5YuX0mOfZNkwkYzRVorN7dzXkSc+AyOpHA6YlmSmM+UYJPHE1tJEsv/o0SOx1bp08aJgyYj527dvxfaM1mfElRPxpOUXO+pxHdOCpJjnoPsEO5LppAgoAoqAklnNA4qAIuCyCJAskRxxJlGyOP1vdYSQJJWE6uOHD0JYeQyPpxetYZnHG84pWtA/P52T+3BfXof7OPLEZyAeBqss019iZCD2lp6RxxIHwfLjR/z7998FE64XjGo+CgzH8lxyPqbP//6vYCfn+OMP2d+wn/4qAoqA6yKgZNZ1016fXBFQBBQBRUARUAQUAYdHQMmswyehPoAioAgoAoqAIqAIKAKui4CSWddNe31yRUARUAQUAUVAEVAEHB4BJbMOn4T6AIqAIqAIKAKKgCKgCLguAkpmXTft9ckVAUVAEVAEFAFFQBFweAT+f3kTlk8X3C3wAAAAAElFTkSuQmCC[/img]

IM 6.1.3 Practice: Reasoning to Find Area

Find the area of each shaded region. Show your reasoning.
Find the area of each shaded region. Show or explain your reasoning.
Two plots of land have very different shapes. Noah said that both plots of land have the same area.
Do you agree with Noah? [i]Explain [/i]why. You can help illustrate to show your reasoning in the app below.
A homeowner is deciding on the size of tiles to use to fully tile a rectangular wall in her bathroom that is 80 inches by 40 inches. The tiles are squares and come in three side lengths: 8 inches, 4 inches, and 2 inches. [br][br]Select the statement(s) to which you fully agree is/are true.
For each choice you selected above, explain why you agree with it. [br]For each choice you did [i]not[/i] select above, explain why you disagree with it.

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