Maths-
General
Easy
Question
The frequency distribution of the marks obtained by 100 students in a test carrying 50 marks is given below Then the mean is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAh0AAAB9CAYAAAAGC9GUAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAKjPSURBVHhe7L0FfFXJ8u/73n333v/RmTnjgru7u1twt+BuwZIgIRCIkUBCQgJJCHEl7u7u7u7uHuT3qnsnDMMwyJkww8Cu8+kDw15791q9qqu+1V3d/f9AKEIRilCEIhShCOUPECF0CEUoQhGKUIQilD9EhNAhFKEIRShCEYpQ/hARQodQhCIUoQhFKEL5Q0QIHUIRilCEIhShCOUPESF0CEUoQhGKUIQilD9EhNAhFKEIRShCEYpQ/hARQodQhCIUoQhFKEL5Q0QIHUIRilCEIhShCOUPESF0CEUoQhGKUIQilD9EhNAhFKEIRShCEYpQ/hARQodQhCIUoQhFKEL5Q+SdoePZs2fCIizCIiwfRHnRJr34d2H5delun+4/heXN5UV51eefcvlv5Y3Q8fTpU7S3t6OmpgbFxcXIz89HQUGBsAjLn1KY/r1cXnXdx1g+1ed+UxG2x9sXof68fRG21W+X7jZhTFBdXY3W1lbOCm8jb4SOjo4OlJSUICQkBFZWVjAyMoKZmRnMzc2FRVj+8GJqagpjY2Ouh+xPExOTV173sRXW59jzGhoa8mdnz/2p90P2/KwdWLuwwnTjVdcJi6CwtmK6w3SItZfQjr++sPZibcXKp2Jn3rawvsYKY4KAgAAOIGxw4m1GQN4IHU1NTYiJiYGGhgaOHTuGAwcO4Pz587h48aKwCMsfWi5cuIBz587h0KFDEBUVxb59+3DixAmIi4u/8vqPpUhKSuLs2bM4cuQIdu/ejb179+L48eO8H7I2edV3PvbSrQusTZgeMLskJiYGCQmJV17/qRfWLidPnuS6s3PnTt5eZ86ceeW1wiJoL2ZbmJ3ZunUr1zOhbv1cWN9j7cPskLKyMh+UaGhoeKvRjjdCR11dHby9vXknX716NbZt24bLly9DVlYWcnJy/E9hEZb3XZiuXb9+nTtgZgQWLlzI9fHw4cMftT6yZ5KRkeFgtWvXLixfvhwiIiLYv38/75M3btx45fc+5sLahD03cwKsTVatWoWNGzdyI3j16lXIy8u/8nufYunuE6xdjh49yvvMvHnzsH79eu44hG3168LaTFpamoMGszPTpk3jesbasPvzl7/zqRT27KxcunQJBw8exNq1azl4ODk5oaqqCk+ePOkih9+Wt4IOd3d3buwZIbOX4eDgAH9/fz6s4ufnJyzC8t4L0zcfHx8+nMcUfsuWLdyIqqurc33svoaVl7/7Vy6sjzHot7Cw4I6WRaqss9+6dQs2Njbw9fX9KJ/7dSUwMJDrgqWlJTeEDDyZA9XR0YGbmxv//FNqj9cVpj+sLVi7aGpq8j7DgOPUqVN8eDw4OFjYVi+U7r7k4uLCR/dZgLN06VIe8LA2ZNd8yn6PtQ3rX8zmqqio8FFGBh12dnaoqKjoGeiora2Fh4cHrl27xod42dwWm79h0y7Nzc38T2ERlvddmK4xAM7IyMDDhw+5k1FUVISnpyfXx8bGRn7Nx6aT7HlYH0xNTeXgwaCfOVoWWWRlZfEhzY/xuV9XWlpauC6kpaVx8GDROnMQzIGWl5fzzz+l9nhd6W4H1i7MabA+w0aEVFVVkZiYiLa2tl99R1iaeB4jA3o2hblnzx6ex8DakH3G2pTZm5e/8ykU9uysfzGby8CMjTKzUVgGIT0GHWzVCoMORnpsOJdFVyxbVShC+aOls7MTRUVFPEJj84rMcDJHw/Tx9yzh+tCFJXOzbHF7e3s+tKmkpAQvLy9uGN+mk3+M8vjxYxQWFsLR0ZGP+jx48ACxsbHcMArl18LaJTw8nPcZFjzeu3cP2dnZXZ8K5WWpr69HWFgYtzNsZJFF8i/q1sdsb95GmM1lUMYGI9g0J7NNDMp6HDrYC2DQwf5NKEL5o4UpNFuixbLuGWGrqanxBCY2EvAxC3OwLLJg0YSCggJ3smzKpbS09JM1fixhjQEoG/Fhw7xs9CsuLo5HYUL5tbB2iYiI4H2GRe9aWlrIycnp+lQoLwsbyWCQ1p27wJyqULd+FmZz2cgZyzd7r9DBRjqsra15wohQhPJHC3O+3SMdzBjcuXPnkxjpYCM83SMdbCqBZYsLRzp+Hum4ffs2dHV1hSMdr5HukQ7WZ9jU5P3794UjHa8RNtIRGhrKA2220uflkY5PXZjNZXlV732koxs6fjW98h4N/h/uSj7tUbMPWv5K0NGTd9MNHWyko6eg46/OaB8jdAheyft5MX8OdLzds/zuJ34PTfYidHSPdLwP3Xo/b/tt5dW1v40t5dMrQuh4e3n2J79qofx38qmPdPQkdPzVu4BwpOPd5M+Bjr+u/FHQ8efKq43A29jS59MrBB1sZesfCx3PnuJJZzuam+pRXVWBsrISbgxLSkpRVl6JuvpGtHc+xqu3DHmKzvZW1NdWo6KsFKXse6X0Z3kFqmpq0dTcis7HT3rcoTx79oTqbUNjfS2qKsr53Hh5Bd1rQxPa2L0+/Xgd2F9Z3id0PHvKdKIVjXXVKC8t4TkUhcVlqKptQGt7J568w++ze3n6uBOtTQ2orihDUUE+8vLyUEj6XVVbT7/XgSfvoGO/CzroXp7QvbS1NKGurhY1dfU/96uuS7h0Xdfa1MjvubCwAPmFRSitqEJDE7v+7bY4flmekX14TPffQr9bV1vDV500t/z6957Sc7S3NqOuuhIlRQW8vQqo/oqqGjS1tOPxk6fsFp9LT0MHe2fs+VvonVWWFSM/Nwc5uXQPxaVcB1ra6J29eAMk7Nm4HSH7VV5SRDqTjyKye+wdt9A7fvrS9a8XVn8HWhrryBYWoyCP6s/JRUFRKaqp/rYOsksv/By/384ONNP1leWkr/l51GYFVH8FauqbBDb3hevfB3Q8ffqYv7OaynIU5uUiOysTOXn5KC4jW9rYgo6XdeyFZ6wkP1GYT32ssAQVlewdt9E7frf2YvW3NTdR/aSv+Tn0PFnIzslHCdXPdZZ05sUbePaErm9p5NezPplL91xQVILKmq731XUdkz8GOgTt0dhQS++wHFVV1WhkfYPdd5dwHWtrQX1NBUpI39k7Li4pRy1/xy+377sK1d/Rjqb6GlRWVKCiuvs9/NzXmG9nn5cVU92kj/n0zsoqq5FXUAwPL29cuyrzx0MHM9ZtjbUoyk1DZLAfnOysYGJsBCMjY1hY2cMvJBr5pdVo7WSHxHR9iQv99+NWVBRmItjHDVbmpjCm75iYWcDWyR3BkfHILSzjjfC2e7q/tZCyNtVVICMpEl4u9jAzMYG1rSOCY5JRXEOQRJ1FKB+evC/o4DpM0FySl4HoUH+4OdnD0sIC1nZO8A6KRFpuMWrJiD4mPXz9KBn7TADSdRXFSIuPhLebMx6RbpsYG8Pcyg6e/mFIyS5EdX0z79xvI+8MHdQWHKKYQSGDVlKQjcSYMPhTZBIQEolUqr++ifrV80dhDqwddZWlSE+Igq873bOlOSwsreHk7oOohDQUV9ah9SXH91vCoYtDXDuHuOK8LMRFhfPh2KDQSGTkFaG+uZ0bedaez5jhra1EbloCgn3dYWtlDlO2Tbf5I7h4+iMmOQtlVfXc8XZXz567x6CD7vdJRxvqqkqQEhMCJytj3FNXhYqqOrT1zeDmG4a0nGK65zaCxa6v0PO1tzSgtCALUcG+cLK1goWFOWzsneAbFE7XF5LOvBnW2POwNnjc0YLaikIkRQfB4ZER7t9Vxa3bd6BtQPWTzmQWlKGBbCGDVWYPO9qbUVWaj8SoYLg72sLc1Ij6hTmsbJ3hHxqDLLqe3W93t2gi5xxG0KHaA9DB7vcpOfDmhhoUZqUg0NMJJg/vQ+W2MlTV78PIkmxpdApKquq4LeXPyOCzoxU15YVIpjZm92xhRvdrbQcPn0DEpWajsraRHC7XCEFFvyHdgNjcUI38jCQEejnCSPceVG/fwu07GjCxckJ4fDrKyZYz8HlKdT990oGGmnJkJsXAx90RlmbM3xiRj7KFh28IkrMKUEN9otvh/xHQIbinUsRFBMLFwQ7u3gFIIT1rbO0QtAAFx+0t9SjKSkaIjytsHlnwd2zn6IKgCPKPxVUES9QnBEr0zvLsaSfqywuQGO4HR3o+J69gpOeVoaWD2ox0jOlkRVE26bcPHGwsYWRoAFMTU9i7eMDFOwjGFra4cOkKxCUkuW2qoAD+j4EOeqFtTXXUMPHwtjeG7MVT2LJuFVatXIVN2/dBSuEu3EMSUVbfQUa760tMqEE7GkoR5WMH+Yti2L5hDVauWoON2/dCUkYFVm5BZOxL0NzKOs5/0aKvE6q7uaYIkb52UJI+S3Wvx579J6Cqb4OobOrcbY+7LhTKhyTvCzo6yHkUZiXC08ESOppq9Luq3IAp31TEzdt3YWjtipjUPNRyR/26epgxbEN1SS4ifByhd+8O5OUUcPOmEpQV5XFN+gquySpD18wBYQkZqG5gIPPm+35X6HjGI8AGlBfmICbEF48MtXHz+mVuIJQ0DOAeFIvS6kaK3AXXP33cjobKIsQGe8GUnMct+n0l5VtQVblNDl0FWnom8AiKQU4JBQ9kkN4kzCGx+ksJdmKCvWFpqAX569KQuCCFW5r68AlLQFltE4cOZnhbasuQHOkPS4P7UFKQg6ycPJSo7eWuX8O16/K4+8AMnsFxKCqvJSciMCI9CR1PCbjqyeHHBbtD9851HNuzGUsXzMHsOfOwbPUWnLwgByMbDyRll5BD6CTHT06/tYFsXhK8HCygqaoMOXlFKNN93Lmjgjt378HM1hVRpDNV9S2vBTXuwKn9a8vyERPkCh2V6ziyaxPVPxczZs7B8rVbceqSPEwdfZCSV4rGtna0tzWRM8hAgKs17qko8BUEcgoKUFaiv1+7BjllNZjYeyIuvQBNbZ3cHzW3EHSECZbM/l7oYCMMLQQcuamx8LQzg4rsZRzbtwOrRZZi8VIRbNp1FDfuPIR3eBJ/z4/pBjoJOGrL8xHh6wwddWXIyspDUVkVaqy9qB/rGj9CYHQqyutafhHpv0qePOmk6LsaOakx8LA1gaq8FA7v3Y5VK5ZiwaKl2LL7GBQ0jREQnYZKav/29jY01ZQgIcwLBvdUeBtdl7sJJUUFyMlIk44pQsfYDmFJ2aiiPsnaq77hfUPHM7Q31SArPgR6dxVx/swZ3Lh9H57hyahqJJ9HV3QScBRnxsLeRAeKN65CVpGgSoXZJiXSMW1YuwYgs7AKzR2/HAV8O3lGdq8OaZHeMFC7jtOnz0L6li78Y9LRQCDTQTpWWZBC7WsIpRvSkJaRhYIS2QW5q5C+Ig3xK/I4e0URe46IQezsebJNjn8cdDB53EnEVpGHCA8ziB/YgJH9v8c3X/0HP/QejEXr9uCWviMS8thox8/K9KyzDVW58bDWlse25bMwsNc3+PLr79Bv+BSInpSBjU80CisbyNG8+SHeXcg5NFcg2vsRzu1Zi+F9fsKocTNx9Ko6POPzUN3c0XWdUD4keR/Q8YwMWHVxFgJdLXDz2kWcOScB+dsaePhAB3fkpHD80CEcP38VejZeZPQr0Nb52/r47BkZ47pyJIa4Q1PuIg7s2YODYhegcl8XBhSJXRM/iZ3btuHAyYu4Z+qI+CwW1Qicwuvk3aCDjVpQ1F5ZzB25mZYyxPZvxZK5MzBn0UocOC8HM5cgFFbUPx9Obm2sRGZsIAzI+J05dQpikjK4c+8B3bMG5KUlIHb6POTVDeARSsFDXfNzWHm1sFGDVqq/BPFhvjC9rwSxA1uxmJz4rIUiOHReFtYeYSiqauTP3dFci4KUCFjo3MKpQ3sguu8YpORVoPtQB6rU/of37sKuAychS/UHkhOpbmzltfQcdJDxb6xFbnIEbAzUIXF8N1YtmYMJY4ZjYP++6N13ECbNXo5jFxRh4xWJAmq3ltYW1JSQzrhYQOHyORw6fBISMregQ/ego66Ii+dPQ1xKFg+tPZGQXUp273U6w0bZapGdGN5V/x6ILKT6R49A3969qP7BmDxXBCelb8POLxr55VWoKs1FjL89lK+cwc6tW7H/hCRUNLWhp3MHV84fw86dojgmcQOGdj7IKa1BO4Fac0sz33fi90MHG5VpRRWBdXSgO0HqPchdvYRTh/dg7bL5GD96JIaNngSR7UehZuyExNwyev7HaKwpQ2q4B+4rXMY+0V04Kn4N6g+NoU/3LHPhNE6dlsAdPWuEpxSgvuV19vcZOtubUUn1RwZ6wFRXEwoyrJ/u4e9t9PDBGDZqEtbsEsM9czekFVagtqYCOXH+MLpzFXu3b8LWvScgo6INg4faUJI6jd3btpDzPI+7xo6Iyyzifqq+oeEX+3T0KHSQrXrW2YryvGS4WWjh2K4NWLhwKQ6clYGtXyzK61sJVJ+gujAVvtY6OHd4N7aKHuD3bGxiBHWCrBNHj+D8tVuw94tBQZUA7N5FnnTV76B/Gyd2rsa8Rcux7/xNOAcnUNDdjrryXIS5GOLy8V1Ys3oDTlxSwAMTc+iqy+PU/u2Yv2gFZi3bhLkrNuHgsZMcOior39PmYK+CDmbwHzdVIT3MGVdPimJkv2/x2d/+P/zP3/6FoRPn4+gVdbhFpKPmBWfe2VyP1Ahv3L9xFmvnjceP//kb/t///T/4T5/R2CkmB3e6vrqRrv/vfMmbpaMOiQF2OL1zBXp/8Q/06jcSu8RvwiUmG5VN7V0XCeVDkp6GDj5fSrSfGRsAI/XrOCC6DTv2n4SChiEc7e1gQFHvgS2rsXTVJpyTvQ+30BTUUBTyW5GrwJAkwsnoLo5uX4v5C5YRQEtBz9oZHm52ULt+HptWLMKi5WtxQkpgMEqqG/ECi79S3g062PROCzmFPB656yhdxo5V8zFmyAAMHzcDW45KwcDBnztPQbWPUVWUBl87fVw4sQ/r1m/DYXF5GFo5wMXeBLeuncGOLZux59gFaJq4IDmv/BfBw6+F1d9M9ecj0s8FWjcvY+eaBRg9YiiGUP1bj16CuUswCgk62BRMPRm3cHdzXD2zD0sWLMCKzQchT+3v4uYMEwKmQzvWY+GiZdh+RILAzxvpRVV8xPQxPXdRUQ9AB0XtbJQnPtQTJg/Ucf3KJZw9dRx7tm3A3Gnj0OenH9B74Ags3XQQKvoO3ClVVpUjK9aP9OMqdm1ai1VbDuCy8gPYOzrA6uFtiB/dhc3bduO83D04ByZQ9CyIXF8lTwl666uKqX5vmFL9stKXCPyOQ3TLOsycMAp9f/wBfQeNxIodx6Fi6IiopAykxwXB+oECdq9fhumzl5COXYWhtSPcHU0JRE5h9TLSsVVbISl/HwFxmaghe9bU0oKw8DDeZ34fdDylKLiZTyvFhvnDy90VzvTc5gbauCFxFMvnTsagAQMxad4aXLptgJDEPDQ0N6MkOxGuRndwfPs6LFy8Cocv3yL49YSDpS5kzuzHpvUbcURcFmZuYSigYPM3R4eon3e0NKK8MBsx4UHwZPU7OcDMUBtXzhzA4uljMaDfQExduAHSaiZ8tKkgNx2+Vlo4t3s1Zk6bhlWiYrhj5EDfdcJDpQvYsXoxZs1fgQMSirDziUJ5XStqCToE+3T0PHQ8ZXktNSWIDSDdlTqBuZPHYOiICdhy5BKsfWKo/mY8bm9Capgr7lw+jMVzZmLpxv24Y2ALXx936N2+gl0bV2PNlr1Q0H6EiLRCtLzJiHQLa1cKjhqp/mhfO8if24P5k0dg0Kgp2HJSFg6BcWhoakBeYhB0bpzEUuoDk2YuxRl5LbgFBMP10QNIHtiIsSOG4ccBozBo9DTs3HOA2scBVVWVvE+/SXoEOri0N6AwMQDqNySxaMZ4DPrhC3z+j7/h+36jILLrLB7Y+iGvgpSJX/wETdVFCCBDzEhTdNUsDOv9Jf73//wTXw2YgP2StxCQkI/Gtl82JE90a25CfV0d6usbBcldL2onKSRLSGNGmhXmpNh8Hh/C5HPcHehob+eJbc86GpAa4gLxPavR78t/oU//bujIItJs4cacXce/08nKY/q3rvthzqq9FU2NDXQfDWhqbkF7B13L5g/fYrhcKP+d9DR0MIPfVFWIMDcLyJ47CJFlS7Bu10nc0rVGgL8/7HRv4cjmpZg0eTrW7hWHtrUP8srr0PHKUJ/Au6UWGdE+uC93HiJzpmH8lLnYc5Yie+9QxEQFw0TzBnaumofJk8nw7TwOdYoEkykSbO54fULYu490tKOxtoKi90hY6Srj8JblmDB8IEHHdAF02Ac8h45nnU3IjifoUruK7WuXYe7idThyUQV2nv4I9nOEpvx5bBBZgiWrtpET00JATAZqXzsSKJhiYolvaTHBeKSjTAAmQpH7cAwZS/UfvghzVwYdTdS32lCcEUPtrIi9G5Zg3LipWLL5KNSN7BERFQEPaz2c2bcJMyZPwtzlmyCtaoDA+Gw0tZPjo77WE9Dx7DGL6gp4LoW7qzPsnVzh6uIMC31NXKAob/aE4ejbbwCmLliHi7f04R+dhpzsdIQ4G0FGTBQL587Boo2HIHv/EQICA+BuoQHJw9uwaNFSbDogAW1LT+SU1v1mJMqnViqKqf4weLg4wdnZhep3gomuOs4d3IrZ44dhYP+BmL6MIEJZD+7+YQhytYTKxYOYP3UcRk5ehL3iSnD0DUE0gdNDFSmsWTwL4yfNxOaD4jClts4vr+eJnT0FHWyqpKaiFAU5WcjLL0RZeRnyMxN41H5q93pMGTsWMxatwxVVI4KOXNTUVlGA6QVN6RNYPnMypswRgZiCNkF8JHxdLCB/di9EFsyDCANObWvEZpWg/bcajPo5S6ysqypDQX4u8gqKqP5y5GfEw8FIHce2rcCkMWMwZ9kWXFU3QURiBtLiw6CvJIFVM8dg2LCxWHPgEvSdgxEbEwGHhzdxYMNijBo9DvPX7YeqoQPSCqtQWVv/nqDjGdop4C5IjYLNw1s4vHUFBvX+Eb3IgW+ivmHjG4uymgY015bA2/IeDq9fgGFDR2LJthMwsPNFQmw4LLgdWYDpsxbhgKQS7PzjKEB/y0CZ+a62BuSnRcJS+yb2rJ6DYX2/xw+DxmPTSTk4BMWTzy9FlJcZzu5YSn78e4yavgJSGuYEcBmI8rOH4tldmDikF/75r//gy+/7Y+OWHbC1teOJsH8sdLTVoyQ1FA81bmPXlvVYMnU4+n/3Gb74uhcmLGDUaYzI9BK0snSJx80oy02Eo60VFGWkICa6HFOG/YD/+fu/8c2gSTh48TaCEgu4cWHCVgJ0Z5XnZKYhPjYaUVHRSEhOR2FpFZrb2OoCak8ywCybuaq8FPks+zs3l2eTVxKBsYzwnIxUJCelIDuvEHXV5UgMdIbE3jUY8PW/0Y9e+m6Jm3COzkRxZQ1qqytRzDKc6TfyC4tRWV3H80s62Uqd+moU5WYhOTEBiYnJSM/I5MpfUl5FVN8qBI/3JD0NHU86WlBVkApXEw2c2kWR5YxZBAMnKaK1Q2hICFyM1HB821KMGj4CM5bvwI17lkjIIUh45XD5U+oCZYjzt4OC+AHMHD+KnPxM7Dknx4fFkxNjYW+gQgZuIcaOHo2Zyzbhioo+QhJyuBN/ncq8G3QwEeQJNFYWIIic46UjW8h5DceoCTMJOq5An0EHjybJgDdVItbPFrcuHcaSOdMxlSLUI1JqcPILQUSwK7RuSmD1otmYOoOc2+nrsPeNRmlt82shSeCY2lFZmIFARwNcObEDsyePwzBqj27oKKpuQnsrAU9sAAyUJbBuwVQMGT4BCzcdg6apM+KobwURDF48uh0zxo/GuKkLcPSSEhwCYlFJBpatMisuLvrd0MHyOVgSa3F+NjKzspFbWMJX4LHRBGONG9guMhsjhw2ldlkNcQUdeIUmICkuCvYPCaa2EpBOnET3fBSKuvYIDQuFt7UWQccWzJg6DQtW74GspjniyIm2/cacFIt6WbJtYX4eMjOyUFhUjPLSQqREB1BEK4XtK2ZhzLBhmL54I84qaMHBwwcuFtqQOrgOE0cMxpCJi7BP8jZcg6KQHBcMcy15bFw6C8OHj8LCtbspondCUm45qupYTkdPQAcL4NiqlVY0U1u3cJvI8jVyEORiissn92LxvPlYs+0Qh+qE7GJUVRQhzN0cFw9swMThQzF+1kqI39aHT1QcAj2scfP8XiyZMQnTFqzBqev34BuT+dt5ddSMLGeog8CDTRm1trVzXastzYavnR7ED27BovnzsWmPGOmRC5LSs5AY5oVbkvsxbXhfsvMjse7wFRi5hyMlJYEcuwZO7liBYYMGYfQMEVxQ1kVYSgFKKmsJ0iJw6eLPO5L2BHSw911dmocIXweoy57HZpG5fDSNQcdmDh1xVHcN2aVEmKldxoppo/Fjr8FYIXqGT4umJcXwlARR0stRoydg5e6zFAz5Un8WTFe+SXjOWVkewn0ccOf6OaydPxEDf/qGoGOCADoC41BGbeljdRc7l0zG1//6HCOmieAqQXVcdj5SIryhefUoZo7ojb/93/+Lf37+Ddat3wQbG1tuh3vkaPu3ho7WOpSmhcNYTxcSZ0/jxM4VmD2mLz7//Cv0GTGdjK8CnIKSeL5EW2MF0mMC6LdsoX5HBdLHNmHuWHqIfxB0DBRAR3BSAU+QedrZRgpdhOT4aAT5+8Lbww12liZ4qHUPGvd1Yensg0RS7AaW8UuRK1s1kBBOUSpdY2BgCAsbB760x9PFAUYPNKGmrgFTazfEE3yEe9lBfM8aDOTQMRp7JJTgHJmOnPwCpCdGwtPZDtZWNnD2DEBCei4qqmt5hnlqbAhcHe1haWULRxaZODvB1dUdfiGxyCmqRMdr5nCF8t9LT0NHJ0sGTIuCuaYsRNcuwvgJkyGy4ySPdiIoynE3JYO0fSmGDuyPUdOW46ysFullHuq6s8t/IU/RWluMKO9HFAHvwpRRQzF41FTsFLtOhiQaqSmJcDfTxLEtSzGaG95lELumBs/wFFTU/7wq4lXy7tAhkM7masT42uDGaVHMnzwKYybOEkCHXQDPl2Lzxi01hQhw0MPlo5sxfeJYTJyzBkel78I1MBxRoR7QVpKEyNypGD12KtbvPQtDB3/klNfhjRpOEVVjVSGifR4RhO3DgumTMGI81X/oBehoaUBmpDceyIpBZNZ4DBg8BvPWCZxVfHIyGUY7XD21C7PGjcDwMVOx44QUTFzouzXkbDo6+Zb4vxs6qP062pgDbURjczPa6HefELBVFabB3fweTuxYiakTxmHu8s2QVjWEf0QCYsMDoH/rIrYsnYaRo8ZiwebjUNJ3QnhkOHxttCF5aBMmjh2HyfPWQlxeC0EJ2Whsf3WLsVUwHWzZLd13Q2MzOknHGQxX5KfA0UCVIncRTJ8wHgvW7ITUHQO4+PjBkSD5vOgKjBncD4PGz8fuc0pwCYpGWnIkbPVuY9uK2RhKTnTqwnW4rmGGiNQClFcLchTUfjd00D2z0WNyLszBcADgKyxi4WisidMHd2L58tXYf1oajzzDkEdBYWVxJjwoaj9IUfvgPv0wlqDjAgWh/rGJCPa2hZL4XiyYPAajJ8+D6Bk52PsLwPI3hfo6r5vXT+3X2ojC9Bh6dlUc2bkOK0TW4MRFJdh4RyCP+k1iiBtkxXZg3MAf0LvvMKxmIx2uYUhLT0GQgy7O7VmNof36YuDo2Th6RQVe0RkoKK8miIzAZbIzPQYdrL81VCMrKQLOj/ShcOUcRDcw4OmPvgMJOg5dgK1fPIrKKlCYFACNK4cwdXh/fPndQIKL87B0D0VGajxsHyhAdMUMDBo0FLNW7YWCrh3SCqvfkGvFqmcJwJXITIqCo6U+FKn+zcsJqgf8hD5DJ2LzSXnYBxD0FKXDzfQWNswbg8/+558YNnkppDQsEJtdgMy4QOgpnMH8sf3w9//9v/B3gpK169YTdAjOZPuDoaMWpakRMDE0hqLiTajdOA3RldPx/Zdf4IvvB2LR5qPQeuSN3LIavgwn1MsZNg4uMDY2hNJ5USwa37cLOiZ2QUc+mlopCiHDFRPkAT1tDaiqaUCfft9IRx03JE9il6go9p+5Cl1bX2SVUKNTo7IluD42epA5dwSi23dg75FTkLp6HdelLuLQzs3YsGELxNh8ukcAfJ1ZImk3dIzBHslbcCHoSM9MRzARuIbyDcjIyOOevjVC4tJQSJFVerQfLHXvQPqqDORUtQlq7GFtYQhd7fvQM3NEOEWuze2dXY0ilJ6UnoaOdpbAFx8IXaWL2LBkJkZS5MCg4w6DjgiCDjMNnNq+DIP79sagMbNx+MJteJF+VL5yjv4p2hrKEBdgB/nz+zB99FD0HzoeGw5dgqlbGFJSk+D9SBtiO0UIOoZg9DQWuSvDOSgBpTUt7wU6HrfU8FEM2dO7yKiP/jV0sCVzZVlwM7uL03Rf40eNwHiCjmNXNeEWFPEcOpbPnkSR81gs33IY9yzckFpYBYoH3iDP0FhdRNBjDUWJfVhIkezIl6GjrYkn+BkoiWP13AnoO2AYpi0XhbKuDWKSkhEV4ATZs/swZ8JIDB1BRvGgBPTsfZFX1cj7WE9AB3uPTHe6nRj7+7MnHQQd6fCw0ILYrnWYN3s21u48BnUjR8QkpiImxBMaMiexYtZYDBk2Ggu3nISygTOfEuLQcXADxo8cgdFTl+DY5dvwjEhBbcurE4aZ2rI62YqY7hHSp50MOlLhaKiGE6LrMH/OXGzcJwZ1U0eEREXBw1oHl/avJujoi74U0G0+JgN73wikpcTw74iumkvQMQAT567E5duGCE7IRWmV4ACznoEOwZ+svdqb2SqeRHjbGeLG+cNYuXgeZsxdhn1nZGDtFY68kgqU5CYQENzE1qXT0fv7Xhw6Lt01RUB8IkJ8BNAxb+IIDBk1BesPXICpawhKat98zglzoq2NdSjOToKnrT6untmPRbOnYsa8ZThGfcueJd4WFSKFwFZJfA8mD/kBP/UagMU7zuCejT9S01MR7maECwfWY3i/Pug3bCr2SSjCNSwZuQRLPQod1GiP25tRmk++xdMB5ka6ULulgDNHdmHauJEYMGg0QYckhw62N0xGmBMUTm3GqP4/4bPvBmHVXgkOcRlp8bDTFUBHvz79MX7BRkipmhAQlL6xT3YSnJXmpiDY1438tD7UlORwfNdaTBs9AAOGT3oOHeUl2WSr7mLb4gn44m9/w8Axc3FGyRDhafnISQyF6W0JLJ44EP/4PwQd//z3nwcdzwg6Shh0GJnhrtZD2Jpq4urJrRjZ51v867OvMWrWKkip6JNTTuNDza4OdnDy9IeLsz3UL+/H4gl9+QN8zaDjkgpCCDoaGhtRlB4Biwe3cGT/Xuw/Lo472gawNnnAh7DZcPDYmSI4Jn2PookctJHlZkvJPMyos25bxuf2xk+dh43b9+DIoYPYulYEy1esxsHzsnjk7ANvRwueXMShY2A3dKQiOSUB7lYPIS8tScCigIeWbohLz0MxAQ2LCqVP7cW6jdu5YpvYusDVyQpGD7WhY2SDwKg0NBIsCaXnpaeho7WhCqmRXtC4cQar5k3BsJHjsGLHCagZvQgdyzGw94/oO2wydlMU5hKchLK61lc6kMetdciM8cF92XNYTpH7oKGjsXjLcXIWbhQFR8CFj5ws59Axhk0XXHy/0NHZwkY6Xg0dRQw6nrSjpigV9nrKOLxxIUYNHYxxs1fj+LV7cA+OQHSYB3SUJLB85gQMGTwCC9bugQoBWUJuObpmPl8j3dBh9Rw6RhF0bCXosOhKJO3sZDkd0bBjSZGr51EdQzn0XL6lC5/QcD70LnN6D0HHCAwd+SJ0NHDoKOqCDpXfk0j6K2FTU3Rf2fGwJwd+XHQjRFauwVEJOe5Es3JyEBvkBuULB7Fg0nAMHDwSi7aewi1DF4KOSPjZakOCnNjYYUMwbPxc7BeXh3NwPKqaXjU69mp50t7Il0paaivhKNW/cvV6nJJSgq1PBNKzshDhbY3bkvswa9ww9BnMdFYMBjYeiIoMwSPd29ixcs4voSO+GzrCoab2+6GjW9goB9tnIj7EA7q3rmDXukUYO2IIBo+YgBXbjkLN0B7RKZnITA6DmeZVrJs3ET988xNBB/kCgo4ggo5QDh30jscPQ/8h4yAiegb69v4oqG7uquW3hL2nTtRVFiEh1BMPbklh++oFGD6wLwYNH89Xr2iauSIhPRvp8SF4qHgeK6YOQ7++/TFdZA9ktawRHh2FQCd9iO9fj2F9+6D/sCnYL6FA0JHEoSOEoIPZmZ6ADpaP2FBdgsTIANhZmODRI0tYmBpC7uJJzJs8BgMGC6DDLiCBT+cn+VlB+sBKDO79Pf713WCs3icBK89wZKYl8Bwo0eUEcD/2wsgZK3FeUZcnk76uTzKQ5m0V7gtnB1u+Z5CJwQNIi4li3oTBBB1spINNr8Sjhu4zytMUp7cvQb+vP+O2b5eECtfj5Ch/GCmLY+HEAfjH//0AoKM4NRwmxmZ4YPQIQX4uMFS9hKWTh+A///43fhg8CaKnpGHp4AZvHx++GZdPaCxCAr2hLXMYSwg62EgHg45DHDryUFdXg4xID6heO4Ul8+di6YZ9ULxnBFd7C9y9cpRe1ih803sUVuy+APvARDQ9eYYqRmmWajiycS4G9+lNnXI8Vm7djwtXZCAjfRlSUldx54EZAsOjEexujfO712DAV93TKzfhEByDyIhg2BhrQ0lBHpq6pvClSKWkshrlhSlw1FfC3rULMX78FCzeeAg31B7C3tkZLi5OcHDzQ1xKLprb3t7ACOXtpWeh4xla6iuQFOaGO1cpap0zEUMpml+xnUGH43PoYJDQ/6fv0Yv0aMeJa3AMTCDo+A2ofNqByvxkuJjcxYkdqzBp/DhMXbQOp2XuwNjMAtq3r2EXOdfhQ8i5z1iCU9J34EFRVXld22uHRt8XdDx50oaqgiRY6yhg31q6r0GDOHSckHkZOgigBg3D3JU7ofTQDvEEHW8ey/st6LgAC+cgPtLy5OkT1JWx1SsWuCa2G3OmTsDYSXOx6/hF3Nc3gdEDdZzeuwFTRg/FsNFTsP3YZRjTd4tqmtDCRzp+f07Hr4SMJtu/ICMuCIYa8ji0azt27DuKm1pmiKS+XV5ajPhAFyic34vZ44eg/6ARWLxVDLcNXbugQwuSB9ZhzNBBGDJmFvacuc7nyaua33b08xnaGquQEeNPjlQaB0W3YdfBk1B9aC3Y96OmGnnkxG105CG6ej5GjRiFWUs2QEpBHWbmplCTv4g1C6Zi0MABmLJwPa7eNUNYcgHK2PRKeM+MdHQLG2loqi1HcqQvjDTkcGibCCaMGIQff+qD0dOX4ITUbdh5BSEy1Bv6KhewevY4fP/1T1zHrmi8BB3jhqIfRftLt52Ero0vQcebRjoIOp4wR16KlCg/GN6Vxb5NyzB6cB98/0MvjJ+1HCevqhHUxyA9NQG+VtoUYK7EpNHDMXraEuw/JwtDcwuYENgd2LyUAoveGDhqJo5evgUvChzzy2p6FDraWljyZgy8nW1hYW4Nb78gBPu5Q0NeAgunMOgYg82HBX6M7QQcR07/wi66r5++64IOSVh5RRB0JMKWQceKaej1w48YNmUZxGS1EJZagN9O7xbsCZKbFgsPR2vYOjjDJyQSvp4OuHXpIBaSj+7fBR1OwYloaG5EbmIQHsidxtIpwzF4yEgs3HQEt7TN4GBtSt85hOkje+Nv/+d/4R//+uzDgA59CyckJkQhwEEXRzcvQL/v/oPPv+mHuat24KrCbegZmxN8eCGKOnFiDFGo7LFXQ0d9LbLjqPOpSGPn1s3YefAM7mgbw95CHzcl9mLm+KH49zf9MXfDMZh7RaOO+jVLkvG3u4cTWxdiWP9+GDBqBnaevAK9R47wCwhESEgo4pLSUVpCL9bfAeIskfSrz9Cn3whsOykFnUd2sLQwxn2Nu9DQMYJncDSPytrZjoVlGXA0UIaoyCwMIqDpN3wSVmwl8FDRgo2LF4KjklBAhMxyOoTQ0fPS89BR/m7QcVwaVh6hSMlmWxGzrdLzUUAwwLYGLiwuQRnbSrg4H/FhXtC7c4Mcxhas3bgVx85L4aayEq6cPQKROZMooh+CaQvX4aKSLoLislHT1Pl8yPpV8sdBh2Ck47egY7bINshqmiCA9JxFY2yrdPb8eXnUDgXFKC2rRD3PSxBMU/wWdJh3QQczTywfoDAjFvZGdyF+bA82rNuA3YdO4ZqsImSlJbFj9SKMHjoYIyfOxUEJRdj6RqOioZ2vFnsf0MG2Fq8rz0eYpw3uyF3G0aPHceGGCuy8w1FCjruxhnQmmKDj3NtAx0yInpCCmYsfUrPzUUQ6UlhQwN9lfn4hCotKUFFVi+bWdgF0skIRaXVJDkI8rKAkLY4jh49yoHAJjEUx1d/BIuaqQiQEu0JDThK7Nq/FetIxMQkpKN6Uh8TJfZg/dSwGDByKOatEccvAAXHZ5ahkiaQ9DR3P2PLZJpQXZSHc1xH3lQSjDSMG9UU/cqIsKfuuoQ28PJ3wQFlCAB3f/BI6BNMrXdBB0f6SLcegwfbLSMtBaXk57++CPkY6VkQ6VlGF+qZWvmSa7XHC8jnYdH2YjwPUqT1YjsLQfr0wcCj15Z1iuPfICynpWchLDMUj7Zs4tnszRFauw54jZyF/UwmyUqexbvF09O3VFyOnLoWEojb3PWwHXp5I2gPQ8exJO6pKcxDgagU9rXswNLNDQGgUQnydKKAWE6yQGjACa/ecgblnBDKychDlZgzJXUt+BR0Zv4COnzh0nGC5YWFxKCD9Ki8vfd5e+aRrbCFFWXkFctMT+WZyeg90YGbjgpDoOAR4siWzuzF73EAKzsdizaErsKT6K+ub+UZuUV6PIC9+COtWLsfqzXtw4Zoi1FQUcHrfeozq9y3+7//3v/Gvz7/EuvUb/0ToSBFAh6GVO7Kys5AZ6wPlC/sxZVgvfP75fzBk3Exs2HkIMkoaeOQWhPTiamSlRMFQ7sQvoIPndLD13fSSKwvT4e9mA807t6GkrAod7QfQUZXFSdGVGD2kD/72n96YueYQTDwiUUOoV12ehwB7go5tizB84CAMn7QIx6+qwz0kAcUV1Xx7W3b2wxOKZlJCXCCxbw0GffM5evUahBXb9uH81WsQFz+L8xeuQl3flkcXglU0z9BaV4xA+4c4u2slxgz8CZ9/8RV6U0dZvFYU0re04BwYg4KKuue7JgqlZ6Xnp1cqfzm9MmIcz+nohg4307s4uW0ZBvT6AX0JMJkD0bd0hAM5OktTI2jf14TG3btQv6sBHX2CYVdfDrQ52ZmIDfPDI2NdqKmq4K6mBtRVFXHuiCgfSh06bDQWrd/HcxfiM0vQ/Ia5ivcCHVUsp6Md1UUpsHuojEMbFmLUkCF8euNn6HCHNoOO2Wx6ZTjmiGzBRQU1MpoWsKSo+qGOFjQJztXU7uK+tj4s7FwRmch2WhUkxjZVFyP2JejYQtBh5hxI/UQAHYLdLauRnRQFd1sz3Fe/AxUVVWq325AWP4G1i2djxJBhmDx3JSQUtOETnY76tid8eXox6UJPQwfbDj8vNRL2xvf5nhmXyNA+fOSGhKwivmKmjXQmJdQNypIHMX/icIpQR2LxNgF0RPKcDi1IEHSMHT6Er9bZfvgc7uoawsr6EUyM9HGfdOEu6cxdzfvQNTKDs3cwMgoq0EqvkekwG2XJTo6ArYkWrl2SxMWr8jC08UBqXjnpiWAbeLYPClsBER3oATM9LajeUoaqigqU5a/hxN7NmD5uFAYPn4DVoqegZ++HrNI6vo0/m15hfeZ3Q8cLXU2wkoXtkJqDCHL8t6VPUV+ajKFDRmDBalHI3jWEk7MDHty+hHXzJ+KHb3/C+G7oiCPo8LaB0vk9mDuBTa+MxZLNB6GgrgNL8jOW5sbQ0brP+9hd6mNauvp45OSNWIrqG7s3EOPgQX6iOBshntZQvnwMK2aNw/BhIzBDZBduaNsiMT0fTTUVyIwPg725Pu5Q/1FWvo07t2/iotg+LCGo7td/MKYv2w4FHSu+2qeipgHhERG4+LuXzLKRM7bzaCAFz7IQP3MWcsrqMDYzh9792zh9YAsBaj98/xMF5St3QsXAnoLXOISyVWd7V/DplX93Q4dn+PNE0p1seoVAacT0FTh2SR4mj6xgY2UOI31dai+mY1Q0NKBPAb6jZwCc7W3oHcjgyuXLULyjDVMLSzzUVMaRrcsxbvBP+K73IMxdfxC39Gzp+UvR2NiAmlJqUy97PNBQIaBVwh21O7itIIU9GxZhwA9f4v/833/i869/IujdBhtbO7LDVX8idFh7Ip8ovqYknehSDhvmE+H+55/45sf+GDtTsLufnW8USutbUZQZByP5V0EHKUpbJ9qba5GbFg8Pewtoa6hCSUEWMhfEsGv9Igwb2Bt/J+iYsfogTNxfho7FZESHYtysVZBQ0qPfy+WrYZ7Lk2akh7lCct9aDP72c3xHBD557kKsWLMa8+fPw/K1O3BJ6SH8YzJQz9f5kvq0NyGHlIdlrm9cNAU/fvVv/P3v9Fy9hmDxhr1Q0LJARGo+Gui+39z0QnlX6flE0hpkxwXgwc0L2Lh4pmAJGocOBzI4YXA1UceJrUsxqG9vDKSodd+ZK9B6yIyWHE4f3ov1q0WwfNkyLF62Ahu378MlOTU4UEScU1zBO2BBbhYSY6MQEewLa3JiEke28w2fRk+Yjq1HLsDIMRC5ZbXofMMS6/cGHc86UVeWBRd6Tpa7wpIfx89Zi+MEHW4EHVGhAuhYMWcyhg8fgwWrtuKclAzkblyF+KnD2LpxDURW0PMvWYbVG3bgxAVZmDn5I6+8nm/gxaHD7/XQwYRv207OvrwoD6lJCQij9nK2MoTipeNYvXAGRo2agEXr9uK2ng1F7SVgC0FYpFtc2MPQ8bQTtWUFfAt7XTUlyCso4YGpPcKTcviW9aRkHDoYqKpLH8fy6WMwmABy8bZTAuiIJOiwZtCxnifljpo0BzsOnIIsvbPrVyRwaC/bKnw5lpHOLBdZja17j+KaCtt6OhONnYJ5/1qKiMOo/gcat6l+ZTwws0dEUjbqmtpI/7vOxKBnZwfNNZAjzc9OR2xkGPw8HGGgqYiTu9Zi6rgxGDNlIfafY/kkCSivb+MHiYVz6Pj926C/StgutJUF6XyvjrP7NmDmlElYvHo7ZFT14OzqAkON63y1T2829fECdAR72eAmRdtzJ47E4JGTsHzrIVyRVYDCjSs4dXg3NqxZhWVLl2Lp8hVYt2UnxKRVKOKP5cncLwpb5ViWlwx3cw2c2b0asyZPwgyCiCvqlojPKOK2o5V0jG3Nn0R9MtDHAzbGWrh8UhTzp4zBkJETsWbveZ5PUljZiJr6HoIOgqLWmgJEeppB/PB2zJs5EytWr8NOUVFsXi+CWVT3D1//B//67EsMGjMDhyQVYeroCR9HY1w/znb3puCWQcfeX0NH//4DMW4uBQkUIN9RuQmpc8cgumU9VixnOiYobGrwqsoD3FJWwvm967FmxRKIrNvC69+0TgRTxw4lP/YZ/v051T9xPkRPy8HWLwY1BKksD6S+qgyZqYmIDAuGl6sNdFSksW3FLPz0zVf4+2ff47u+I7F5+x7Y2tn/GdBRQ9AR8Rw6CssqyahXIdjFBOJ7VmFUv6/wn6+/pwdbiKOXVeAVkYoGgoDynASYKJzA4q7VK8+hIymfJ4t1NNcgIz4U5g9UIX3hHM6JS+LqxfM4Rp1r3IiB+OeXfTFz9aHn0FHFoINNrxB0jB42HBPnrsVlFUOEJeej5UXoeMqgww0XOHR8hm+/+h7jps3C/EULMXEsOYbx07B+7xloW7ghrYCepZMtz+pEQ2Uhov3soXpVDCvnTkT/77/Gv/75GfoMm4iNZFBNXUJQXNv8xl0mhfLu0tPQwZbMFqdFwkJTFnvWLMKECVOwaucJ3DG0R1h4KFyM1XCcoGPowIEYNW0ZTknfhKGpCe7elsWpg6JYvWIpFi9aRDqzFGu37ILkdRXYsYx9Aom2jif8flvI0JXlpsDdUhvnD24mIzMJc5ZtgLj8PfhEsW29294IqO8DOgRLZp/yM4gC7PUhdXgzZkwcx/vLsasacA0KR2SIG7RuimPlvBkYS/1h1dYDkJa/CWVFGUicPIhNa1di6RJ6/gWLILJ2C46Ky8DE0Y9Aqo7r/8vQIVi90gUdXdMrAnlG74+dRkvw0coOmcpCqIclFCUPYeXCWZg2eyn2iMngkXsoCgmW2Jtmz13UQ2evcKH62xqreTRsbagNZQUFqGsZwC0gEjmFZXzjo9qaWpSXFiEl2h96SpLYsmQqRo4ex1ev3DJwJicVDh8rgssDGzB5/DhMnr0Ch8Qu4tbtW5Al6DgguhUrli7GItKZxctEsEn0EKRv6cCPAhu2LwU7wCw9JhA2RtpQISehoWMM96BoZBWUoLKykp8EWlPXwPNZ+OGDvM060FBbicyEUEHi6faVfNdNdvzE9bumiM4oRhNRWksrgw62T8fvgw62VJbVKTg1uBb1jU2CQ9UIHFvrKxDj54Bbl09gLTm3ddsPQknLDL4BAbAxVMehjYswpG8/TJi9CpfUjREQm4AgT2soEnQsmDIWownSNh04C8XbqlCWk8bJAzuwZuVyLFq4EIsWLyGw3Ybjl5Rg7ByC3KIytDQ3obG56zRb6v9sl82EAFvcvngYq5cuxNJNhyD/wB5JOWVd++AI8kBa+YqbZHjbPuR7qsydOhHTFqzC6Rv3yC+lob6lk2+DzjYH+93boD+ltq/OR4QH+cFDWzF9/FhMmkRANH0aJk0YjcH9e+Hzf/0D//O3f+L7/iOx8aAE+Rwn+HvZ4Y7UAUwbOQBf/zAYq/ZIwNIjDOkpcTyfZ+fyGRg6dARmrdyBi7LKuH/3Fi6fOYLt61dhyWKmY4uxkMrW3YcgdUsLSko3cVp0NZbOnYpJU6djOtU/cfxo9O/9Hb7419/wt7//A98PHodlO89BzyEAFQyySfgUGgFufW0FkiO9oat8AesWTkOfPgPw4+BJGD55AXbtPwq77h1JX2OPuqVHoIO9z2ctDDrCYWJkCgMrDxSWkyN40oaMaF/cv34KS6YMRe/egiU+l1WNEJVehE76YmWuADoWjeuD//n7v/D1gAnPoYMpFNu8yc3yAcSP7sG2baIQu3AN6qpKuHp6N2aMH4Z/f9WHQ4fxc+jIRYDti9CxDlJUH9vTv/VXIx1ukNy3BgO/+Td++L4P5q3chF0HDmD1ktkYM2I4JsxcypXcgcivuJJNyzTznRZz0hPg72oFVZmz2Lx0Jgb89C0pRj++gZSKvj0yS2p5NCaUnpWeho4nnS2oZvplqknR0QbMnjkba0QFm4OFhAbDyVAVx7YuwaiRozFzxU7IqBvAyz8Qnq4OMNETOAZFRUUoKCrhjoYWLOzdEJWczQ+Z6p5hY0Ph7GwRMw1ZHNi6GgsWLsPOoxeg88gN6YWVb9hSXCC/GzrEKJqbxEZYZmLzESmCDv/nW013NlfxDc1ULx/Fsrkzf7E5WHiQC7QUxbFm0Vy+3fbuE5egY2xJjt4Olib6uMumPG8qUkR+E7fuaEDf3A7Bsal8TpgdZMegI8bHCgpsH4bpEzFiHNsl82foeNWds+iqPJ8gjSJmZqRFlpDz2nEECvcsEJ6YgwZyCEzYc/fc0fbsPI8mFOckwsPWCDdlpCjClYaatiGcPfy48wkPDUV4ZCziElOQEB0CmwdKOL5tGaZMmowFm47hpi7pTFgovKzuQfLQZsycPhMLV4tCSlED1vaOcLCxgJ72PSiT8VcgnVFUvgV1bT3YuPgiNbcEdQ11KMxOhNsjfShTlH9F+jrUCTpcvAMQGh6B4KAgBAaFIik9F9UNrbx9BfKUnH0lkkM9cV/hAnasXYZFy1bjsKQ8zN1CUMR2fiUVa2HboPMD337P9IrgXJ+G6jKkxkXA28MdvoEUfeeXor6pGc11lYgPdoOGrCR2bduC/ScvQNfSldosEf7OZrhMYDt51AhMJOjo3hwswIOglKBjycwpmLFoDY5dVoaptQOcHWyoj93HHQI21sfYoYmq6vegb+EAN98ghIUEINDPB/7s1OL8En4Cb111CVLDXKB54xy2b96AHUcvQtvGH9klNV33LxC2xXh+ajSsdG7i0NaVmD9vEbYcOA8dKy+kUoDJTrptaGCrfXrgwDdy2u2N5ciI8YXe3Zs4e/wojh45jKOHD2LnlnWYN2M8fvr2S/z7868wZPwcvozexjMYibEhMFGTwspZY9Grz1CsED1HAW0QUpJi+OzBzhWzMXbcZKzecwZqeuZwd3eBtakBtNRVeZ9kbcamRDS1H+KRsyfsbKyhpSyDi+dO4diJEzhy5BB2bF6LmRNH4KdvPse/vqD6+e62N+EYGIea5hdHkp7yM6UivawgzzZym0tByNSFZBN3YNHanThy4jSfcmZQ/Dp71C09Bh2PGyuRnxAIPV196Jg6Ibekin/CDpVxMb6DQ5uXYurUGVi7+wzuP/JGdmkt/25ZZjT0rx/GvFE/4H/9n//BF33G8G19/WOzUVVZjpRQV9yWOob50ydj+nyiURZt6mlB8cJ+nkj6989/wJTle/DQMQQVLU9QUZINX6u7OLJpPoYNGoyxM1figpIe3473F9Mrj5uQEuKMs7tE0OeLv+H7Hwdg7b7TkL2jjstnD2HpzHF885W5Ittw9Y4R/KNTUVBYgKyMVERFRyM2JhIh3g4UCV4k8puKgf0H8P3+Fe5bIq2wBsKDanteeho62NHOLTXFvDMpSh7FquXLsH7XcSjpWMLX1wfW5FiY3k6ZNgsbyFnqsrM/cotQXFSI3OwMJCclIZEMamJiElLSMpBbUIyquka0skiU7rWzrRnlBenwsTXANdKpLRvWY9u+kxT9mSMwNp0fpf3cd7xG/jvoeIaOxgpEelpC+vhWzBorWAGybr8EdKy9kVNWy/MunnU2Iy8pGOb3bkB0vQjmLV6LQ5JKsHLzQYCPLe7KncMGkaVYTsblosJ9eAbHIjsvDwV5OUhLTUESPX8CPX9yShqycgtQUV0n2GCLfryenSrqbgYZsZ2YNXEMBo+k+veeg5GdHx8NenGna/b+2NECdRUFiPRzxF1yXLvJKG/ZvheXFTThHBCHoop6PO5a5tOT0CE4wCwbAeQYFS6cwOY1q7By7SbsP3oKkpekIC0tjeuyCtB4aAZX/wgkJMQh0NmE78eydP48LFp/EDIa5vDx84Wr2V1IHN6KJUtWYNvhC9A2d0F8WhYKCvKQnZUp0BlWkpORmpGFvMJirr8leencMctKHOendK9dvxkHjorhopQ0rl67hivXZKGiqQ8PdkJwLQMJ9vIIOBpr+KoIeyMNSB7fi43rN2DvcQncN3NCbGYRP6actVhLMzvw7fdDR3sLwVE6OeyHapAUO4GzklfJ3tsjODIeqUnx8LQzhaLUORw6eITemwZcAqNRWFqC5Agf6Miexep5M/g26CdusHNpwuBFzyx3Zg9WLpyP1dsPQ0HnEULj0niSdh71sdSUZCRReyUnpyAlNR3pGRmICPKGqZYSpMTFIHFFltcfGkN6GBcJH3sjqv809h84DEl5TbiEpvCzTAS3zxJfWZ/MoLa2gJzEMWyid71Z9AjkNU0FW7ZTn2Tt1XPQwQ7Ia0YN9YXEmHD4EKi5ubrAxdEGeprKOLlnA0YN7I2vv+uNWSu28Tyv6JQclJfk88PeTrKgZ/hoLN58DA+svRAdFQpTDRnsWLkAs+Yuw9HLt2HrE46c/EK+C3dmOvXJJGaTEunPZKSRjuUWFCE7MwNxEcHw8/aEp7cXnJ3soXtXEQc30+/3/x5ffd8Xs1bvw82HNkjMKSG9YQ7sGTXZYzTXVyErIRTGd2VxcNsarFi5lm+xf5TAdt+xszhzTlwAHeV/IHSwIZXmqkIkh7hAnZy2irY5ErMK0UkNXl9VhFh+IuJp7N2zH5Kyd+EUlMgVgQ3v5iYE4b7UPswd9RP+5+//xFd9x/Bd6dxCEsmwZSPUxRgXD23EmGFsQ6XFOH5RFg8faEJe4gBmTxxOhPY9JizcCjUzD+QQ1Rfnp8PTnCBnwzwMHzyE7+NxXl6bIIblZvy8bO1ZWx0SKMI7LSqCfl/9C737DcPWE9J48MgBRrpqOCm6CuOHDxRsHX3kEh4QsYdHRSLA1xOPrG3h7u2POFJyX2dTvlXz3OnTsGrLIWiYuJBBrxeOdLwH6WnoYEbocVsDchNDYKaliKP7d2HXwVOQV9eDna01X4FyaMcGnq9wQekBPCNS+SmnHV1n+LS2tv5c2trQRv/Wyc7paWvlR28X56Yh1McB95Su4uTh/Th8/AwU1PX5VtpF75Bw/O7QwfYwYMfV5yPA0QAXqP/MGDsEQ0dPwiqC/rsmzkjJKyM4IMPyrBM1xZkIIicqffYINm/ewQ/eemhuA0c7Q9ySOYfdO3fg0GlpPtWYklvKN+1j99RGz/xzG9DzU7uwHTXZvC7bmrqC+qK/HdvtdAtmsKHkkZN4ciOfsswr51NQ7P6fPO7gQ94VxbmID/WBqY4qLp4+Rsb+CK7I34G1exCyiip5ImW39Bh0PCPbVUPBTYQXdJQuYpvIXG5rBg4ehtHjJmDi5CmYNmM2P2L+3PU7sPEOR3p2DjLiAmF+Xx4Hd27B+m2HcOmmNqzt7GCpq8IPztuxm/5NSYfsWALZuiaBzlBpe7G92tl/t/Bln4mhrP7L2LpiLkYNG4zBg4diDNU/ZepUzJg1B0vWbMMptgTVJxKlNfWkb6RjddU8383HyRK3b1zEsUMHcPz0BYp8LRGakInKhtbnU1jNzU18xIb1md8DHa2NVciM8YaajBhWzJ2GadPnYvuB05BTuQcDA31o3FbEJfFzkLx8HbqWzognP9DY0ozS3GR4WdzDuf1bsWzFOhxh0yT2rrA118X1c4exfQs93+WbfPVEfnkd2pkukQ6103Oy9mJ9i+kb61dxQW5Qu3IUaxdNx+x5S6h+MSje0cLDh7rQuCVH9Z+BhJQsdB+58VNuG9jqIHaURmMtSvMzEe7rDF01BYhRn9x/8DhkValv03sqY9PiXRvmsAUHPXW0vWDXWXZWVz3502p+Gmt5SR6iApyhIn0KsyeMRL+BIyggF4OJawh//rbWJqRHekLruhhWLRIchHj7oRX5Yhc8VJHGvq0bCJaO4paeHaLSC6lPCvSLTYX83Ce72o1KC72Dhvpa1FL9tXV1VH8hInzsCfh2Yc7YQeg7eAzWHrwEc49wfpJ0B/VvdnBkXXUZMhIj4WLxEDISJ7FbdBdOiF/D7QeW0NAzg8SlKxCXkOS2qaL8DzvaXhChsG17g13MoCgnBzlVXQTFsF342qmhazgZO5nrQV3tLoys3RGTUYz6pha+djkp1ANqUkcgMmss+g8YhBET5/A11LZeYUhPS0EI/ebVU6J8vnnCjCU4cPoy7mmq46b0aaxeNBP9+g3G9CWbofDABvE5pcjNSoaH+V0ODTOnTcec5ZtxkQyCTyRzGN07SdI9N5Yjxseaz+lNIriYOHkWP2XQ3DUA3u6O0LhBEd6SWdSpZkFk62HIkbNw8yRCtLeCFnVYA9NH8A3wh5+HDZSunMWubTtw9ooy7NiSvrqWdz5qWChvlh6HDiY8eTAXYV52ULspQzp+GYoqGtB9oA01xes4K3Ya4tKKMHX2R3ph1W8fRMWFIKaDJfiVIz8zGSE+LjB9SIAsIw3pa3LQ0DWFd0gcCspr0cpWIrzlLb8rdLAziNqb6sjQJ8HtkQ4uHNuJJXOmYuqsBdh84BzUDGwQk5rLlx6ydmO5DDlJYbAg2L4scR7il2/gzj0d6Otq4uYNKVy4eAWqOubwpT7Epo7ehEps0yiWy5KfFgtXc21cPi6KJfNmYurMBdiy/yzumdgjNi2P199GtqO5oRYl5AxiQv1ga6oH1ZtyFN3LQFldB/aeQUjPK+FG9cVRIaYLPQEdbDqnuigTgU7GuHFuPznSqeT0h2LwkKEYOmw4L6PGTRac2qqgCbfgBBSWV6G6LIdv064mfwViYudw+cZtaD/QxQMNZVy7fAHScrdh4uRHcEdw9Rq4ZMspa9goi5Mp1X+I1z+SoGfw4MEYRvcxfPgIjBk/GQtXb8d5WZbgG4/yqmpUV5YiJzUefm720NdWh6zMVVyXU8IDE1uExKaRA2WnF//cYKxdfj90AO3NNXwPB+2bklg9fwpGjxiB6XOXYPPO/Th5+hwkJC5CinT9nr4FgqJTUF7bhMfkdNl+HhkxfjBQk8PJI4cgdvE61B4YQF9HHfLSFyB58Rq0TRwRnV5EkPDbe5qwLeIzYgKgI3cGGxZPw7ix4zCN6t8iuh8nxM5CXFwC0jLy0DayQXBcOirq2fksrfx8m4KsFET4e8Bc/z6U5K/zKaw7WobwDGarDmt/cZBjT0LHy8LyYp50sCmeSJhoymPzysWYMXsRjkjIwSUkCZX8JOunqKVgINjJCNJnjmLfgeO4oaoFQyNDaCrLQPzsOVy9qQlX0sfi6uY3boHO5QWDw0b3WLClS+9xy4rZmD5vGY5I3aHAKo0fKcKgp7q8CKnx4XC3t8A9FUW+8kVGQRUmdh7wDY+HnbMb76cSBB2sfcr/SOhob2nkW9EGullDS1MT9x+aIzAqkYi8UZAHUVWMtPhIBAeFIDoxEyWVDXyOkZ2EmRjhB+N7SpAUO4I9e/bh0LEzkFfThVtABDIyM5EY7gsjTUWcOLAborsPQ0pOBWaWljDTvweps8exiQ0nHjmP++YuYIcL5edmINj9Ee7IXoLYyVM4LXkN90kBwxKyUEPkL2j2J/xwLgY8929fx/GDe3HixBncvGdExBuLhLgYeNmaQPmaJMROncSZizLQ1DOHt58/fDxdYWZsBBMzczg6OcHZwQrad1WhpHQHZnZeSMwuQUvX0jah9Ky8F+igN9XBEkpzUuDvbs/PDtLVfUjQoQOte5rQ1NKDpZM34jMLUNfc/trpELatOM+QL8xGfFQI3Ni8tJEBDAxNYOfijaiEdJRWURTT+fbAweRdoYMdKtVcV4WCzAT4OlNEonQd50+fwIlTZKgU1GBq64741BzU1DeBndLMzhppZNF2hD+szQy4Q7qvpQM93QfQ0daBkZkNNzL5ZbVof+O5Quz3OtBIEWkOReFs118NZar/zCle/zWq38LRC/HpeahmJzRT9FdVVojUhCgCeGdYmBpTexnB0s4JgRHxyC2p7AKOXzZYT0EH232UHUwX7GYFjZvSOH3sEPbu3o3dVHbtIpsjuhv7Dh2DxFUFGFi5Ij6jkC8/ZftDlOSlIsDdjudqqN+9Bx0dXehRtK2rZwBbZx/EZRTwkbHXQRrLkagqzkawhy3VL4PTRw9i7x5W9y4qothN93CA6pe8dpMv3Y1NyUFFRRkKc9IRHeoPJ1sr0jFDvvmci2cA4tNyeU5NB0XsL7ZYT0EHc/pVRRnwtjOCzPmj2L5xLdat24Aduwg6zkhA9qYq9MxtERiZiGJy5N36wpxcXWUhYgLdYayjAdU76tCk9jJg/Y1gzcTSAWEMEupan482vEqYbpfmpcHbRg83JI9jx5YNWEv1b6f6T52VxI2bKjA0t0dwTCrfhZWNvrHgtrwoF/GRwfB0soUp9UlDIxPYOHogIj4NJaxPPv6lXr9P6GDylGCzgmDXj/qnwrXLOC9+CXf1LBHFVj92QddjskulOYlwfWQI9dvKUKNA4MFDPb5UXUfPCI7eIcguqeYLJN7V+j3luVNp8LDSh6K0OM5duAINIwfEZhShuY0Cp7oK5GYkIsjHDbaWptCneo3NrOEVEImswjLkFZbAy8cH165d+xOgg82TsXXSJXlIjouAv68v/IPDkZxByk+03drOhpubUVdTibKycvo3Ag42FMQOOSL6zMtMQXigD1yc7MA2GLGzd4a3fzAS0ghOSssoAspGVLA3HpkYQk/fGA6u3oiJT0RCTDhc7R5BR0sL+sZW8I9IRFF5DaqoQ2YlxyLAyxVOZJCcXD0QHBGHnIIyNLV0OY1nBB1NtSjMpmg0wAsOdjZwcHSGX3AUUrPy+fr/rJR4BPt6wNnJAQ7O7vRMEUhKSUVKShIiw8MQEhyEoAB/+Hp7wtXFjYAkFMmZhaghI/OL4/aF0mPyfqCDqfATgoU6FFO0HRcZCn8fL3qnLnDz8EJgWDTSc4v5EjKWvPe6WlhHZkO4xQU5SIqPQVhICEJCIxCXkEKdtAx1DS2CjbPe0US8E3RQO/BTmRvrUF6ci5S4SAT4CPTYnnScTQtGxiTy+2loomdizon68BO2+V1lCdITYxDk7w039vyu7vD1C0ZsUjo5kJq3HJ0RQEcztWdJYS6SYiOpPVn9bH8Tqt/HH1FxycgrKkd9QyMaG+pQUVqA9OR43q+CQ8IQFZuIzNwCbivaqM5Xdaeeg44ONLBlgUnRZDPcyBbYwsrKits5VqysrGFr7wgP30DEpWahvKaBO1K2MVVrc71ghCYsCF7ubnBxdoGHly/Zm2hk5BRxW/Bi9PwqYW3VUF2OTGazvN3hYGvzvN7u+7Cj+j3pPcSkZKGYjbJUlaMgOwPxLK+MdCwsIgpJqRkoLK1EQ3PbK/W0p6CDzfG3ku3MSyegdbGBvo4m7qiocOhie0K4evkjju6zjBw515eu7zE/8ZgBC73r5JgwCt7c+TH+HtTH/IPCkJCazffGYO31uhZjuspW+eSlxcHX1RYGD+7z+tXu3oeBiSVcvAKo/myqv56/JzbqxqCjlPokW74eSvYiOCQcsdQncwtK+ZH/LwMak/cNHTxXgp4jhxx7gK8X3Ny9EE79sriSQK0bgJifYsfgZyQj1F9gk5ycXeHp7YuwqHi+NJ+t8Hy9hr1amM1rqqskXxmDQNI7N09vAjAWFBGosdUqNeRH0xIREUrtFRRMOhaDFPLpFV3tylZz+ZKvZ9AhKSnxR490sCVU7WgmI1dJDr+kuBglBBdVNWynvTa+iQ87Y//xk050dLAEO6YIZOTIaLS3EozUVqO8tIQ7E0Gh7xNsVFG9Tc3N/PTHqvIS5GSmIzU1HXkFxaiuqSOIqUZRfg5SkpOQmp6FkvJqgoo2tLYwwKlCWWmx4PfYLm0VVfwExw6KMFnExBS3k8i7sb4GFeWldF0hP8ehjDp0bR1FX6RcDXU1qKTPSoqLUEi/w5+Jnpu1B8vSLaV/z8/JRlZGBrKyclFcVoVG1uFZp/lvtEAob5T3BR1Mujc5qqmkKDI/l95pJnLy8lFWWS3YMfItxi+ZIWnngF3F+wHTG6ZT9Q1N1FHfbXTjRXnn6RXqb51szp8cenVlOUrpuu6+VVxSiopKdk/NfFdPlvDJ244K242zifpEWXEBT3rMzMxGQVEZauvp/tmyxK7ff5Ow/t7B+hfVz5LBWf0M5Hn9paWorKrh/ZHN0fOcBgo+2PbihYVFdH/lqCbYaG3reC289xR0sLZidqi+moKiErIZ9JsFBYX8t7sLsyFlZEPq6J7bO1jOiuC++I6Y9L5rmc7kZiMzIxPZBEulFQJbxO7/TW3G2orbQbJn3GYVFvyiblaKmQ0jPawlPWIbGzY3NZCeVnC7xXY1ZZ89Xzra9bsvS09BBz01h9rWxnqC2nxkpCYhNiYaMbFxSGbgU1KGenLkgl1pu77SLfQPbPqxsbaKwDwPWZkZdA+5KCqt4M6f7T/yRunSUwbVZVR/OgWBsdFUf0wcUihQLST94SDx3HELbD17vyXUXuzdlpRVCHSa9UnBVb+S9w0d3X6ziZ6D5UKUcp9ZhxYK0l/c64LpZ1sz+cCyYuRSn0wnHcvNLyRAI6gjXXyTfv22POM5M8wHMj9XRvdQw5Lgqd8JlkTT+yV9zCcb+OLOud1dspb8oF8XdEhI/OHQwZwsSwh7zI3j80KKyU5OFDgDdo2gMKUR/EHKSw3KjMcvvvf8+4/5A7DzGVgjMAPVQhDDEowYuDyhIkjma+FJfJ0MKKhFXv2bgt8SAEdXYfNq7Dq6T5b8x65j+wSw7/J6f/Ebgs/5NfTvrPCkMDLsbJqIJYVxoGFGRvCIQnkPwtr9fUHHc32kd93elYzFE0OpTmYE3urnn/9GJ/0G26qbJVYyvft1JPUuwvTunaCD7oPrN/XJx1y/fy48QYz+TbDR1Av9oet7vB+TMepORGNgwrec7nqCt2wG3mb8t1hdL9XP+hnvj3TNL9qLjYry+rpBqOsHXyFMF5hD/v2JpALH/2J/7076fF7Yv9PnL9qz7sL3yqBn7E54bG1jSbZdOsN+/w3Cfo+3QVdbcVvzUv3sntj7YrkRrN3Y39k1bVQX1zHWlvQ7z+vj9/hL6UnoYL/P8oaY02TQ2MyCQyrMDrO26oayVwp7XmrLDoIPgY6RTafvsLZ91X3/SljdzM5zf0P1k/1tZst1qQjscJff4a3Rda/037xfs/ZiOsb078X384pq3z900H3RvQneJ7UH9z2C9/iLdnjh/ruTkLldou+9eNl/I939nekvu4fuPtntG1mfZH6X+1xe388VMpvbPdLxJ0CHUITyx8j7hI4PWZjTeRfo+BSkx6DjE5Geg45PQ94/dPy1hdlcn+c5HULoEMpHKkLoEEJHtwih491ECB3vJkLoeL0IoUMon4QIoUMIHd0ihI53EyF0vJsIoeP1IoQOoXwSIoQOIXR0ixA63k2E0PFuIoSO14sQOoTySYgQOoTQ0S1C6Hg3EULHu4kQOl4vQugQyichQugQQke3CKHj3UQIHe8mQuh4vQihQyifhAihQwgd3SKEjncTIXS8mwih4/Xyh0EHewFs19DaWsEJsUIRyh8pbA05c7RmZma4fPky1NTU+I6MH7s+so7c7WAVFBRw69YteHt7o6ys7KOGrdcJ04Xi4mI4OTlBRUUFDx8+RFxcHN83Ryi/FtYuERERvM+cP38eWlpayM3N7fpUKC9LY2MjwsLCeHBz6NAhDvxC3fpZmM1l+3TIyLCzV4QjHUL5SEU40iEc6egW4UjHu4lwpOPdRDjS8Xp5ryMdjGgYdLAfZ8pqYmKCgoICvgMdIz/2IoRFWN53YfrGDEFGRgaPalm0dvPmTR7xM+fTfQ0rL3/3r1q6n6eurg6pqamwtLTE1atXISsryyN85jQaGho+uud+U2F2h+lCeno6Hj16xEd/NDU1+agXM3zs80+pPV5XutuCtYufnx/vMydPnuTwkZSUxHecFLbVz4W1BWszBvQskmc+b8+ePbCwsOBtyK75lP1ed/swm+vi4sJHnMXFxTl0VFRU9Cx0sB9nxMeiLH9/fyQkJPDChjSFRVjed2G6FhMTw3WRRfv79u3jym5gYICAgIDn18THx//qu3/Vwp6FPVN0dDTc3Ny4ozhx4gTOnDnDh8cZcLHo/mN77jeVxMTE57rQPV3AYIxBGRsSZ58LbZOgdOsGaxdjY2PeVqKiotyeM6eRnJz8SenOmwprL1bYCCprr/3792PdunVQVVXlIx/d17z8vU+lsGdn/YvZXB0dHRw/fhxiYmKws7PrWehwd3fnBn7jxo04deoUr8zc3JwXNr8uLMLyvgvTNWYENDQ0uKKvWbOGH//NRuCYPrIpl49RH7ufW11dnUddW7ZswY4dO/j00r179/jI46fWD1nUyZ6b6UK3E2Xz7mzEQ19fn38utE2C0t0OrF3YFDlrKxEREe5MGcQyUHv5O59yYe3FChtNZe3F7Mz8+fN532Nt2H3Ny9/7VAp7dta/mM2VkpLC1q1bcfjwYZ7r2ePQcfbsWaxevRp79+7lQ3TM4LHChjWFRVjed2G6xhyvnJwc18Hly5dj06ZN3BgoKSlxB/Qx6mP3czMDyDo364Ms8mJD5GzE5+7du59cP2T5COy52TTT0aNHeTC0c+dOPv/OkkrZ50LbJCjd7cDapTtwXLRoEbZt28aTAFlbvfydT7mw9mKFJWszoF26dClmzpzJ+x4b7ei+5uXvfSqlu30YA7ARjrVr1+LAgQPvBzpYsgijGmbkDQ0N+XAKm8dhfwqLsLzvwnSNJTE/ePCATy8w4GDRGotujYyMYGtr+1HqI3smKysraGtrc6fKnOvu3bv5CI+enh7v7J9aP2QJtey5mS6waQI21cZGv1hCKYvG2OdC2yQo3e3A2oU5CtZnmKM4cuQIBw6WiPvydz7lwtqLFTaSpqioiA0bNmDJkiW877Eov/ual7/3qZTu9mEMwAIhZo8Y+Pc4dLC5UzaUwn6cRV2RkZHIysriiWzsT2ERlvddmK6lpaUhMDCQOxdmNJnDYcPDUVFRyMzM5Nd8TDrZ/TwsiZTlUbE8DjbiKCkpyXNZWOIkS6b82J77TSUnJ+e5LjAYY1NNbNSHGUM258w+/5Ta43WFtQX7k7ULg3bWZxh4sFEOliiZl5f3q+8ISxbPlWKwz+wMm9JkgMbakH32KesWe3amU8zmsmCPjXacPn2aA0mPQwdTUjY8x2iPZfays/Y7Ojr4n8IiLO+7MF1j2dNM6dncKtNFltTMDCfTR5aFz675mHSy+3nYczOoYkaQ9UM2uuPq6sodBssk/9ie+02FLSHu1gXmSFlEypwCWxLKlvKxzz+l9nhdYW3B/mTtwiCN9RnmKFjwyMCNLT1++TvC0s4dKEuWZCP8bCSNrZJibcg++5R1iz0706nS0lI+A8IgltliBvw9Dh0v7tNRVVXV9Sn4/gjCIizvuzBhCs+WarGhTzbcyeZYg4KCuD6yzaK65VXf/yuWbmHPzQCDdezX7dPxqt/4GAsTZviYLrCpFDb/zqZa2IoWtqlTt7zqu59a6W6H7s2uWJ9hU+QM0hi0dX8uLL/c54ctU39xnw4WybM27L7u5e9+KqVbGICxgI+tGnvvm4OxuRv2b0IRyh8tTKHZLpQvbw72sesji0bZ3jjMwb64IymLNl6ErU9JmC6wjeJe3ByMLelj+wgI5dfC2oXtSNq9ORibqmPD5EJ5tbD9bxikdUMHc6pC3fpZmM1l0PHet0EX7kgqlD9ThDuSCnck7RbhjqTvJqxdhDuSvr0IdyR9vTCb++ce+MYM/gtDMK83/+zTF67tKn8FefbsKUWWT6hhn3bdt+BpPmT5RTt3/Ru78b9Km78oHzp08DZ++pR3PF7o7z1xV38t6HgH3Xr5Mq6X/I83yl8ROphusJEpVt7mGdn13d/huvWWzfoq+RSgQ9BGP5c3Cruu+38vfedjhg7Bs3b9x2/IL3S1699elD8XOujun5IBaG9rRXNzEx+Wqq9voD8b6b9b0dHxGE+7npA97NMnj9HZ0Y6W5mY0NTaisbEJzS2taCfD+vQpe/0fmDy/5zY0N9WjproSlZWVqK6pQyM9X3un4Pn+u/t+v0/LIOlJZwfaWlupvZuorRt4e7fQf3ew+6b2/ivJBwkdXD+edOl0E+rralBVRTpSVYWa2no0kW53PH7yO3TkQ4cOei4yTI8fd3bpWTPpV1vXM3ddQsL+yq57Qte1t7ZQ32d2ov55YXajqakZrW0sUe3JG9/nXwU6fn7mZjTU13bpRjXq6hrR0taOxzyA4VcKnpnpCWvPjo4ufaolG1yLunq6vrUdndSu/42uf7TQ0dVmzEa3t7VwG9dAfqWV2vZJlz9h//+MgkXWR5upHRq69a6uTqB73T6ooxNPyGYyYf/+sUDHc7/b3oZW0qmW5ha0kV9m7fNc2F/pv5+yftzShLqaKg4RFZVVqG9oouvJP7+gd8zm/nnTK/SSOqlDVZcVISMlHhFhITzrNzAoBNFxScgrqkBzW6fg5bNr21tQV1WOvKx0xMfGICYuAek5BaisaxAYKsGvfjDCXkJLQw1KC7KRlBCD4ABfeHl4wtMnAFEJ6SiurOUv8IXX944iMDbdRfD2e0aekaK1EiiVF+chLSkOEdSJwsKikJSeg7KaerQRePyRwjv/8+d8d/kQoePJY3IODbUoLcylNo5HVGQ4GasQnuAaEhqBuKQ0FJRVoqm1A4/Jmfw38mFCBxkoZsg72wkg6PmL85GezLYfT0RmbiGq6pvR+cLjMkfK+n5tZSmy05IQyeyEny83XKwEBAQjIjoBGbnFqKbvPiZb8Dr5S0AH2bsOcoR1lSXITo1HaIAPXJwd4eTiBr/AcCRn5qOytonsnqChmA4z58CMflVZMTJTkxETFUl9NhxRMWQns/JR0dVv31XdP1roYDblKbNzdSjJzyafEo2Y+CQUllaiuV1glxlwdLQ0oLwwB3HUP/19fQR6R5G6r78/gsMikZiaiZKKGrS0d/Jf/Sigo0ufGPCyfpeXmYrEuFgks2etbEBrx4t97Bkes/5ZXoTU+Aj4uDvDlu0B5OiKgNBopOeVoL65jbcnkz8dOtqb61CUEQ9fJ0vcU72JK5cu4uLlK7h5Rwu27kHIKqpE25NnRFb08lsbUZqfgTB/d5gaGUDf2BLeQVHIK6miRqDou+tnPwihZ2slg5qXEgNfF2sY6j/AndvKkLt2FZev3ICGniVCErJQ3dj2Cwp8e6E2IafVSkaGLX1koyY9NSTP5OmTTjTWlCEtNhh2Zvq4LScLeYXb0LdyRVR6AepeUKL3Ld2RCEvGYlHIY1LOd637Q4MOZsyaG6qRmxoLPzd7mBsbwsDQCMamJjB4qIv7mvego2cCV99QZBJ8N1IU/9/o9wcHHc+dYyOqK4qRnhQFL2cb6Gnfg5aOPhy9QpBRSP35BaZ9SnreWEu6GBdCuqiH2wrXcemCBCTEz/Mld5evXIfKfQM4+0Uiu6SGQP6vDx1PCMhqqX2SowJhZ6KDmzKXcOrYERw9dhIXpOXxwMwBIXEZqKxvoQhboE/t5BxL8zMRFewDeysLGBmSjdTXh6GxCazsXRAak4zS6noeoL2LfLTQ8YzAt60JpbmpCHC3hw49l64h2eW4NFSRXWZW4WlnG2pLshDubQeNW/KQPH8O4ueZ3klA8uJlyCndgbG1C6JTclDbJPjOXx06mD1ko9zN9TUozktHmJ87LA11cO/uXRg/ckZkajFqm3/uoE+fdBBw5CM22BNGWiq4dP4UDuzbi/2HjuPy9VswsvVAQlYRBzkmNTV/JnTQK+IgkZ0Aj0c6uHBMFAtnTsHkKVOxYOUmnJVRhZN/DIprmrlTZdFOeUEqAt2scPumIuSVNeHkE4r8smr6vOccbk/I08dtqMhPh5e1Pm5eFcfpc2dx8tQJHNq9A2vWbMSh89dh6R2JguomDgvvKs+ePUZTXTUKcjKRl5ePqrpmimLe3Rn/lrAIoLmmFHGBLrgrK4ktK5dimcgGnLymBvvgJJRRfX9Ue7c1U6RRlIecnGyKQirQ0NJGhvbdav/QoKOzvRklucnwsDWC8g0p6h+XoHD7Lh4aGuPhfXVcu3AGx4+fgozyfTgHxSK/gpwF8y7vKB8adLBRiw6KnqpK85EYGQhr4/u4KnES27dsguiBU7j9wJqMGhkoQdDI5XFbM8rzU+Ftb4QbEsexadUSzJ4xDdOnTcPUadOxYMlq7BO7Al0rb6QUVFE/eH1/+tChg43qshHS7OQoOJnr4rrkCWxbtxwzp0zAuHHjMW3OYuw4IoG7Rg6IzypGK/X7xx1tqC7JRYSfCwzuq0KBggRFpdtQVVWhv9/A1evyuG9ojbBEFui0Cqav3lKdPk7oIMdKbVZfUYQoP0fcVbiC/XsOQOyiPGx9IlBc18Kbp6OlHrlx/jBWk4bohhWYNmUypk2dhmnTZ2DW3IVYv/0gZFQewjcyBVUNbfyX2RTMXxc62ChkJwXMNSjITIC/qxVUZS/g4M5N2LhpK8Svq8M5NAPljd3Q8QxtjdVIjw2EqdZtnD0iCpHFczBxzEgMGz4S0+Ytw14xaRg7+SO/sgHM4tRU18CvCzokJf+ERFI2Z9lUXYhY30e4fHQLxgz8AV/953N8/dMAzFqxDVdU9eEfk0kvtJXfVHNNIeKC3aBOHUBZXQ+BkUmoaSTaf3GO6QOQzpZapEZ4Q/2aGLatXYZ123bhyOmzOHvyMLZv3YEjBB3mXhHIq25896FzNvRKv5+TGgNPFwd4+7ERoWo0tfesE3ncXIPkEFfcungEc8cNw9ARE7Du8GUYekShiO77D2lx6gDl+VkI83aDq7sHQhPSUVZLoPaOlX9Y0PEUzRS5xwe7QvX6eezcvB7bdh+GrDpF+h6+cLc3x82Lx7BljQg27T4OZT07RKQV0vt99ymtDw462LRdYx0Ks5Lg72wJpStiWL90NkYMG46pC9fhgpI+AhPy0fgcOp6itaEa2YkhsHxwG2IHtmPp/FmYMmkiJk2ajEmTp2L+0rU4fP4GTJyDkV3W8EY4+6Chg/r2E4quqwnKogM9CCAocjxzHKJb1mHBzMkYPrg/furVFyMmL8CeMzdg4xuN8oYWNBGkZHLDfwvip47ghJg4FFTuQfeBDhSukdOgyPP4eWkY2PrwkSTeRm+p9h8ldDwjX1Jfhaz4EJhoymH/1jUEEvOxaf95GDkHorC2hY9AN9WWIsLNDArn90Nk0RxMmCDQu8lTpmDmnIXYKHoECpomCE7IRm1LB//pvzx0UMBcX1WMxAhfmGvfxIHNSzFuaH8MHTkBO05cwyPfZJQ1dNmiZ52oKspEgIsl7shfhdjRA9i+aTXmTRuLfj9+g6+//RGjpi3BWbl7CEzMR9PjZwLo8PsToYMsPvmVJpSmBUP96inMnTAUvb/7D/792WfoNXgsRHaegJqhIxKyStDS8QRP2+qQnxIJE2NT6JnZIzWr8Pm8ZrfwJEgybszgdvJpB5YR0HPCk7XIcHWw36c/XzU90lJThCAnY5zbvRozJ47BwjXbcE7mJjQ07uLWLVVoPjSHf1w6Nxi/TMpk84yC+2d1sBfxcgY6i/zKcpPgZm0AJYpi7tNvRaUWoqapQxDBdMmLzpR/v/vPX/x711+6hX1OP8Lq7WypQ1qEJ1SljmHO6MHoP3AkVuwVx0O3cBRWN/yyTel7LCnyMbXJE9Ym3TdCf3TXzf/zxQq7vsPq4oU9Z9dHTJ49IeKuK0M0RW9atxRwU0UDVt5hyC6tQecLjoW1D2srQXuxrOlfPiMT9tmHAR1UF3VUNmTra6eHM/s3Yc6M6Vi+fhfk71vAPyoRCeG+eKhwDltXzMX8ZetxWk4H7uFpqG0WGLV3kQ8NOp4+fcxHropzUhHoagkFycNYMmMMfvzhJ4yavgzn5B8g4AXoeEbQWVdegNhAFzxUl8e5E0ewW1QUu3bvwf4Dh3Do6HGcvyQDTX0rBMdloKqx/Y1AynThQ4UOnkPQ1oSygiyEB3rikZkRdO5rQo30/6LYQaxZOB0Dev+Ib38agrmr90LNzA0Z1B/KCVJCXM0gK3EUm9etw56j4rirZ0EG3ZaieCns3LAKK9dvg5SyLgLjslHfxpJKuyp9g3x80MFGOVqpjdPh52CEq6d2Yd7U8Rg4bCJWiZ6BoVMgimpZblA7qgrS4GR4FxeO7oHojh3YsWsf9u0/iMNHjuDUGXHI3dKEjXsQMoqq+IgTk7/29AqbWiHoqC5DSkwgrHWVIbpqFnp99Rm+7zUYmw5LwcLnZ+h49qQVBRnx8LS3hN4DbejoPIDW3VuQPrMXCyYPwZf//ie+/GEg1u2XgLl3PMqbnqCauMDf368LOiT/BOjg0o6GokSYaipi9/oVWDhjLAb2+RZffPkNBo2bhd1iMrBwC0V+ZSM62xpRkp0IW1t7WNp7Iq+o/GdHS72Iz0U11qOqoow7meKSUlRW1aKxpU2Qvd116bvI858n59bR3or62mqUktFmhqu4tAw1dQ1obWcZuuwWyOGRs6zMT4GDgQpEV8zEiIH9MX3JRkgq3oONsyd8A0MRFZeCgvJqNNP3eOenwpLr2O831teisqIcZWWCDODaOrbapRltbBvZ9hZUFWch0MkE18WPYusWghlpZbgGxSO3pJpnX7OVPQ0N9XxnPPbfLOejra2V/hRkX7OdYuvqG9DcwjLaf3bSbNSJJaLV0jtiSlBenI+YACc+0sGhYwBBx74u6KgSQIfgeyxbvgE1VZW8XcrKK1Bbz7LAO6njMhBhq2Ba0Nh1T3V0D2yHvsb6OlRXVvDvlNCzVteyduzgkMjm/Ztqy5EZFwA9FRkc2L4Fe46chZqpE6LS8lDX1ErP1M5zWurofVSw+6XCsvtr6X00NbeSwxWs/GDyYUFHByoLUuBiehcHNi3B2BEjMG3+KpxX0IazfyRiw3xhqCyO7StmY87i1Th27R5cQpIJKtu7fuPt5YMb6aAI83FHO0+QTA73hraiBNYumIReP/6EEVOX4fxL0PGko4X6ezJ87E2gqiANSXFxSFyShoKyKu7rPISJhRWc3X0RGZfalZj98zv/LfnQoYPlGVSVFiCVJXBHRCAyKgpRYYFwttSF9MndmD5mCL75thfGz1uL69pWiM0pQW5mIrc3R3euxYJ5C7HziCQeWDjDx9sTuirXsG3VQsyYNR+7T8vgkVc0SuvbBHbnLeTjgg4WVD1Gc30lUqP9YXz3Bg5sWIRxw4eg18BxEBE9CyMGHTVNBMe1yEkIgrbyNRzZuxdiZyVw46YK1DW1oW9kAmt7Z/gFRyA9t4jsUdvz0fa/ek4Hy+drbWlEaV46gp2NcWr7MvT5+t/49scBAuh4PtJBbfm4BUU56YgMCUJwSDjik1KRmhgFP3tdnNm1HP2++Qz/+uxrLNhwGFp2oSio6eRcEPBnQgd/Tc9a0FCcDBuDB5AWPw/J0/uwduk09P72S3z5zU+YOHc1JMgge0WmkROuQH5GHOzsHPDIwQt5hWWC+X0qLIOWzRUnxUbA39cbbu7u8PTyhn9gCOKSM1DyX64W4U6JjCWf58pKRTg1sKenJzzp2by8vREYEoHUrALUNLYK9plvqkF6tB8Z1AtYOZMNM/2A0dMW4/BFZVi6BiEluwg19U18qS+7d3Y/LOJnEWBpYTYSYiIQFBgI/4AgBAWFICIqBimZOSilZ68szaXI3wG3pU5gxbxpGDdxGjbuOQlNIzv4hsYgOSUFyYlstUkQfP38ERQejbTMXJQUF5JhSibjFQRvahMf/xAkpuehuoEty3zKl/XWV5UhKyUeIYEB8PbxRYCfDxzMdXH5xE5MHT4A/QaOhAgRqx6HjkYOWQyCqsuLkJEcj7DgADJyXvDy9Ud4dAIy80sIPhrQUFeN4rxMxIaHwM/HB970eWhYBKIiw+g9ecKBojE7Bxf40/3nEEQyQGxprEN2Uhhs9G7j6LZVmDZ+POZQ1H9OTh2P3PyRlJHDd9rMzkhGTEQotVeAYNVHWBgiWLZ+diGqaps4aDL5cKCD5Fknqosz4PFIGyd2rMS4YYMwbPQkrN19Cgp39WBu/BC3Lh/H1tVLsGbLPlzTsEBQQg4aX8yufEv50KCDHp47OxbNl2TGweaBIvasmYdB/fth1PTlEFcQQEdTF3R0NNcgLToAJvcUcfbYXn5K7sHjpyEtqwxtfVM4ewUgLjWL+katAPy7APp18mFDB5teaRcETmyJbHUNh/S6agLw2AAYqFzBmvlT0Ld3f0xZtBHyujaIzSpEalwofXYJW1bMxdRps7H9yEXoPXLlqy0eqspgm8g8TBjPIvlT0LD0QWYpBQ1vqfYfFXSwqWmWR5iXBn+XR1C7IQHRNQsxafQI9B06ESt3nRNARzUFZxV5CHMne3FiH1YsW4Edew7iwlVZ3L6rA3MbZwRGxCG7oBT1FAA9fmF47WNIJH1K/o7lamRFeULmxDYM++lL/NB7EDYdufIL6MDTdtRXV5F/KUFFVQ2aW8n/tdShIiMMGlePYsLA7/HVl99hyZZjeOAUgaK6xx8IdDxtQX1xCuzMTHH3jgZMDO/h+oVDmDVmIL767N/4ptcQLNtyBCr6DohOTENqQhRsuqGDjXSwn3hC0VN5HiL8nGGofRe3VVShqq4BTc27uKOmjofGjxAQmYgSitA7nrxbDgWLzjrb6lGQHgtXK2O6xztQUdPEAx0t3FdXpbrUYGztipi0fDIStagty0eYhxXkzh/E7DGD8P1XX2LgqKnYfOQStB95ISW3jCd9viid7a2oLMpCmK8LjB9q4959LejqG0L/oR6MTMzh6B2IxIx0ZCSFw+ahMvavX4jBfX4gRRiIOcs34cINVRhY2BFoucHRxhT3VBRxWUoasre1YOvmR0Y1CsEetnigpgAJFi1KK8DI1osPCza1sZUq5YKVKqZ6uKNymz+fnr4+tO4o4NiutRgzsDf69h9B0CEJfXdSHoKOx487UEPPGhviAxsLIzzQuof79+5CTf0utB4awcEzkAArH0UF2YgN8oCB5i1cuSgJcUkpKNy6A23te1C9JQeJs2I4KXYecqo6cA+MRkEpGVuCx1CPR1CUOIQFk0ei9w8/Ydj4mdh25DyU7xvCzdsfwYH+cLa1gB69By0tHRgY6PPTC43MbeHuH4msgnK00LMx+aCgA0/QUFVIz2eJa6d3Y87EERjQrz/GTFuADbsO48xpMRzduwNbNm/GcYnr3AimFVai/aVpxLeRDw86BMJWBbDRQCeKzlmkOWTgAIyeIYAOltPBkuPZNGlTdTHCvWxw89IxrF08C5MnTcSUGXOwfO0WHDl9EbfvG8EjKBq5bAUbWw7a9fuvkw8ZOpgIpgsFB891sulC0s/H7c0ozYwhSLuJ7QQQw4eNxqL1+6Fh4YHUvELEh3lBXfo4ls+eiLETp2Pb0UvQt3Yj4+4LvTvXsW3FbIweMQLz1uzBdW17xOdUvXFEqFs+JuhgQFdfWYKkyEDYmOji9o3LOLxzHeZNm4BBIyfzkQ5DR38UVNagODsB9rry2LlyLoYOHozR4ydh4bJV2LbnCC5cvwVjW3fEpuailq1AfKFrfhRLZkmetjeiICEA8qdFMbL31/ixzyBs5NCR9EJOBwtYO9DW1kE6221POtFWkQ6j25KYObIvfuo1EBsOXsQj/yRUtT4jm1sDf79u6PgTcjq42j/pgg5zciAGFggOD4SL7UOc3CGCkX2/w7/+8W8MHD0D249fhcEjF05JFlZ2AugoLue/0dpYieRQF9yTv4BjBw9A7MJ1qN7TJSi4hYtnj+PEqXO4rWOOoNhM1JCSPO4aCnsbedJJQFCYCg9rXVyh3zpwRAwytzRhbm4MrdsyOHFwL46dvgQtc1fEpuWivCQfUT72ULpwDPPGD8EP33yNIWNnYMfJa9C3D0AmS+R6yYG0NFQjOdwTBmqyED9zGhevKUDzgQEeModKAGJo7YTQuASkxAXDUvsGti6bhu+//A++/n4AFqzagavKWrCwd4OXpwss9O7g/OGdWLJkGdaInsAtHUsEBQXA20oHV07sxJxZMzFzyXpcUtJDREohquoakJsSBXvDu7h85hgOHRXDFfk70DckkFCXx5EdqzCi74/o1W8EVhB0GHhEopAiy+aGSiSGe8OQYOLalSuQVVDCPU01KMldg4TkBcgo34OddwgSkxIR5GIOOfEDWLFwDqZOn4sNO/ZD4vIVXL5wBjs3rcb8eQuxbsdhqDy0QmRSForzsxHobIqrp3Zi6oj++Oar7zB0whzsErsMtYemcHFzha2FAV9KePbMOVyTuwUdch76errQ1NaHhYM34tPz0dgimJJgjqb4g4GOZ3ypeFYiS2KTxd4NizF26AD06t0Xg0aMxaQpM7BgMUVWB05B9eEjhKfkdq04ePf7/HChg82Xp8LZUPUV0FHAoYMN87LcF29bPVw8ug2zJwxDnx+/wzfffIuf+gzAqIkzILJpL64o34drQAyBcD063qJff+jQ8Sp53NaIorRwPNKSw/bVizF5+jzsPHmVJ5IW0ruMCXCG/NndmDdpBEaNn4Ztx6RgYOOOwACCDjUGHTMxYshgTF28GRK3zBCeWvIJQscztDXVIT89AT4udhTc6eKBhiqkzx7GqgXTMWz0lJ+ho6wCmQlB0FU4C5FZY/Hjt1/jyy8p2v+xFwYNHYXp81dgP9kiHXMnxGcUopGCm27V+1ig41lHEwoSA6HwOuh4lTztQEtpMvRunsesMYMxbMx0HL+mgaCUIrSRyWHQ4ef7AUBHXRGDDnMYmdohiZ29nxEDI3UZbF06DX2+/hxffdOLjJIITkjKQtfQGPf1zGBmL4AO9ivl+Umwun8du9fMx+JlayB2XQM27v5wsTLANbHdWL1iGXYckYQWRQYse7vlrVd6PENrfTkSAh2gdOkoRJYswprtR6FmZI+o2Ag+L39smwgWzF+CvWdlYekZhoLiUmQnhsLozjWsmzsBA3r3wvjZIjgjpw330BSU1TTzpMmf5RnqKorgR6B15fgOrF2zBntPXoSarikeWVrCktrF2sULUcnpyM9OhK+tJo5sXoTe336LH/uOwqYD4jCy90EMfZ6WFAEnuqdToqsxYew4TF2yBVIqBggiBxtkp4sL+9di2KAB6DdyOo5cugP/mGwUFBVyKJA9uw/rRJZh895TUNK2gLd/AFwsdSB5eDPGDeiF3gw69klw6MgrLUdpXhLsDNRw5tBu7N57FHK378HGxgK6BCrHDuzC9n0noahlDv/QSAS7mOHGqW2YMnowKe9gzCdQuiirDNXbdO2ejZg+cQKmzl6KM9fU4BYUjyK6p7ggF6hS9DaPnM2PP/TGpAXrcElVDy7+wYgM84OpjjKO7d6KNWs34aS4DHQMTGFtYwMTC2s4egSQHhXwqRomHxZ0MIfagZryPB7FK0udwKp5U9D/p2/x+edf4LP/fIOBI6dgw/5z0LZ0R0pBOZpY7o+gt7yTfMjQUZmf+hsjHQV8eoXlGNWUEny6WUJJ+ixfNjpr6gQMHzIQPxF8fP3td+jVfxjmrdyOK7f14BeTjuqmv3Yi6SuFoslWAvzUCHfo3LyALetWYsWGPbh21xSR6YWorixDlK8drh7fhpljh2LkuGkUoF0h6PDg0KHfBR3DBw3EhHnrICanj5Ckgk8MOp7hMRtdK85BZIAHbB6RXbW0gZO1OTTkJLBhySwMGyUY6TBi0FFahqykMJhqyOLQ9rWYP2s6xo0ejoF9e+F7ApBvvvsJIyfOgeiJSzC090Um2x/mo0gk/VnYSEf+m0Y6XiFP2+pRkuSDW5L7ya6Px/zVu6Bm6o7cSsEpziyRtHufDsk/4+yVX0GHuQMyCSSaWusQy5MYD2HhxCH49j9f4Itv+2PmojU4JS6Fywp3oWdFD1JUxp4S6ZEekDm2GVOH9cPUuSKQVDVBQGwqwrztcEtiNxZOn4DpC9fivLw2guJzUNP4lisB2Px7USpcjFWwfyNFpGMnYPm2E9B3DKC68xDmaoSzO5ZhwsjhmCUiCvkHtkjKKUZpbjIcDVSxc/kMDBvQH9OXbsFVTUtEpBaiofVnKhbIM77G3tVIFce2LMJUelGzlm7AyUsKeGBgBkcXD/iGRSM9vxRV5bmI8THB+T2r0P+HH9Bn8ATsO6cAj/BUlFTVoqIwFV7WWhATFcGYESMwbu46SCg9JOgIQZgTRYz7VmNg75/ww8AJ2C+hDO/IVKSnJcJSWxF7CdimT52GjQQx9y09EZ+agUgfOyhKHMCMEQQqA0ZCZC9Bh3sEssiRMSOoKn0Sq5YuxPJ1orh+WwuOTrYwuq+AgzvWY/EKegbpO3Dw8EOAkwlBxxaMH96PT5ct33Ycd/XNYWNlTJHGfsyeNBajx8/AgbM3YOMVgaKSMqTHBeDBTQksnTYavXv3x6xVu6Bi6ozo1ExkJoXDRIOM6coFGD92Iq//kqwKDC3s4ODqjZDIeHo/bHpF8J6Zo/lwpldI+JK9SqTHBMJEUx5Htq3C5NGD8N1XX+Bvf/sH6XpfDozSdwz4crzneyu8o/w1oSMfrHuyxGrWRpnJ0fBwssYDTVXISInjEIHm4rlTMYRA+Ksvv0KfIeOwZvcZaD3yQnpRDdofv76h/mrQwRLT2dRxkIspFC+ewPbtO3Hswk1YeUWhtLYZDTWliPC2gdSRLZhOkeWIsVN/AR0Gd2SwjdkhauNxc9bgxA2yBwl5PP/lbeRjgA42atZcV4HUmGDyM0YwNnsEN+9ABHm7QFfpAjYsnomhIydh+Y7T0LfzpaCqAmUEKOH+bjDT14KK4nWIix3GljVLqJ+y0esv8fV3vTBp3mryKVrwic7gwMuEJfGHfcLQ0VxThGjXhxDfvwFzF4hQcKsCHwpuG7sC/T95c7BXQIcZQUdpFdg6k+riLPjZPYTEgfUYP7gX/vmPf+LbH/tjBj3IxoMSUNG3R2ZeMTFHNTl/A+wVmY4+X/0Hk+etwTUtW4oC8hAX7AqNK4ewYNJIPsyz46QM7PziUFrzdkcNP3vcjMLkYDxUOocVs8djwODRnIYtPCNQTBFGrN8jXNq7EmMH9cGwSYtw/Np9chJZKCtMh7uZJvasnI0RgwYQkOyA3AM7xGeXoaXj5bn5Z3xZoI+VFs6ILsP4Yf3xQ5/BmDJ/NQ6fuwodUzsERiejqLIeTXUlSA56hAsH1mLgjz+i37DJOHzxNhnqPNQ2t9LvsKWYOjizexXGjhpJ0LEekkp6CA4JQ7izAS7T9wYTrf84aAIOEHR4hiUgNioYmjfo+WaMJaiahK1saNYpmMCCrTDwwt2rJzFv3FAMHETP3gUdqRlpCHUxguSBDZg6iYBuwRqcviyPh/q60FSRwaFdWyGyegvEpFVg6+YDf2cTyIptw8SRFKUOHIctR6Vg7uSFAD8XKBO4LJg+HqPIWO4+JQ0L91AUlpbzRFJDlctYMXMs+vYZiLnr9+OetTdS6b6Kc5Ng81CJj2wNpecZPGwMFqzahrNXb8HQ2hWRbD+Pqjq+qRyTDw062JK9iqIsiuKtoS4vhRMHdmHTWhGKqKZgcL+f8MXnX1A7jcWaPWehQ8+cnF+O1jdsevUq+UtDB13H5uCbGmpRXlqEnMw0xEaGwM3hETSUruLgttWYPGoQevfpj4nz10Gc9DyA+kHDGxJu/2rQ0dnagPy0aFg9VMWF08dx8vwV3Dd3Q0p+Jd8uvrmuDJHetrhybBtmjB2Cka+Bjgnz1uKUvJ5gpOOTgY5nfCvzoowYuFkZ4NbNm1DXNoSjuxfc7MygdOEIls2aiP5k2+evPwA1Iwck5RajluChuqocRfk5SE+KR6i/Jx4Z3OPTMSLzJvNRj8GjJpMvkoShYxDyKuq5P/ukoeNpB58GNL4liT2b10H0uBT0HAJRUtvadcEHCB2GpvbIKKnkO5d1sHnMjGgehe9aNRcDvv8Sf//b3/Btr0EYv3g7pNTMkZxViM6GYnhbqmPd7NH4+l//Ime9HrK6Doihz+JD3aF59ShBxzD0HzIWq/ech4lLKArKBQryJnnSVo9MiujVLh/CHDanPHAUVu0WxyPvaJRUVSDO3wpS+8nBD+yFfiNnYNdZRXLkiSjKS4OrmQZ2r5yF4QQdM0W2Q07HDnFZpXy/kZelhSg8McgRd6SOYOmMMfj2yy/wFZH0mOmLcei8LEyd/JFeWImG2hIkBVlCcv8aAXQMFUAHM7Y1HDoy4Wv7M3SMn8egQ/9n6DhI0NGvN34cPJFDh3twLMKDvHnHmzt+GEaOnojtJ67A2CUEOYWlSInwgYbMKcynzzh0sOkV93AkJifCy0ITxzYvxpgRwzF22iLsO3EBKup3cZ8i0utXr0CS7Z9gYA2/0HAEu7Hpla2YNHIQRaYTeX7LI3c/BAW64dbVU3wkqhs6zN1DUMCgI1GQkc9giEPHun3QtCLoKChHdXk+AghkrpzYgZljBuGn77/F970HYfqSDTh7Qw32PuHIJXhl2+Mz+bCgQ7A5WEKoBzRuXsHhvaLYf+goLkpdgdSFM9i2djGG9vkOX331LUbNWMH36fCISP0olsx2y+uggy+ZJejgb4XeDVvRIdjPhe1K3IrGWjbfHgZrvTsQ270W0yeOwbgZS7FP4hYcgpIo4hRMqf2W/GWggz07y2spy0eEnxM0lWXJkV2Bqo4ZQuKzUNcs0Ae2tJytaJM9vYvndIweP/05dLBEUn3Vaxw6WE7HtCWbIaFiioi0Tying40qsv4WYIf7ihdxmPraiXNXcJP6gvxVSezduAwTRgzCdz/2w7g5qyEurwnvyGRU1LfwLeP56eBd2wlUFeci3Nsed66d5numTJgwCcu3HMYdI2cOgWyQjR1AGBb26UEHX4pcXYAQV1NcObUf+w+coHZxQXxuxS827GM21+fPh45mgo7kX0EH+7SjqRrJYZ64Q45p2fRR+Opf/wd//9d/0GficpxWNEJ8Rj466grgYXIbK2eMxH/+SdCxYD3k9ZwQm11Ehl0AHfMnDkXfQaOwYudpGBB55bINpphC0YM+P4b3FZ3wcWsd0kKccUtiH58v7U3QsXqvJKx8Ygk6Kgk6rHF53yqMGfAT+g6nCOPkDbgFx6GQoMOFQ8dsPpfKRzpeAx2drU0ozUkkULmH8/s3YfKIfvj6i8/wn297YdL8tTivoAWvyFSUkwFKJOh4PtLBoOPCLfh3QUdtGRvpePACdKwTQEcogw5DDh2D+gqgY7+EEtwCoxHi5wG58wfIeQ/GsJHjsJXo1MglmKCjhKDDm6BDDAsmDOfQwfbpMHAPQwKRv6uxKg6unYuRw4Zh3MxlOHZBHsbWDvALCCSS9YNvQDDikjP59uUxPlaQPbkVE0cOJuiYhJ2nZGDVDR3XGHSMx6gxU7D7JEGHWxd0JIXCkKBDpHukY+0+aDzyQmphBZqb6sjxhMBcSxEHtyzH+GH98OUXX+C7PkMxf90eyGqaICQxiy9jZsIcTXFx8QcAHcyJksMtSIG7pTbE9m/DihWrsf/URTwwtYKzoxXUZCWwctZY9PnuK/Sittp8XAZmbmEormni0f+7yIcLHb+9euUX0PEb8rilDllxQTBRv4bdG1Zg9nwR7DotB2vfWFR2vfPfkr8KdDyj+2S7sWYmhMPW9AEU5eRwU+0BnP0iUFhRy08hbm0VLFlnuzSrXD6KFbMnYPykmdh+TAr61u7w9/eBnspVbF0+E6PY6pW1e3BDxx4JuZ/Q6hWCjvqKQoQ66uH6qZ1YumgRZi9YhpUrV2LZormYNHooen3/Nf71+VfoPWwyNh2kwMrBDzns6IFfdbgnZGNzEUJBlMyZfVi1dBFWbz0IJV1bPordSU0qgI6wjxQ62D4dr4IOtkt2HTKifaB/5wZOHDuJq8oPEJyQw+GYnSTPTpFua+9ARUUVfHy6dyT9M5fMFqXA3tyCoMMBmSVseqVLiJ7qy/Pg72iEy0e3YfKwH/HVl1/ipzGLcPyGHmLT8vG4sRS+jzSwcd44fPvZZwQd6wg6HPn69XjqjHevHOI7nQ4YOg5rKVI3JYeaTVF8TVUFSooKUFRcisraBgiO4O2qt0uetDUgM9ID6lJHeBTRb/Bogg4JDh2l9H02vXJxjwhG9/8JA0bPxJ7zN+EdkYSi/O6RDgYdXdMrr4GOxxT5NbBd4KICYPlABWf2b8bciSPQ+/tv8MOA0Vi6Uwza1t7IyklHfKAFLh5chwE//oC+XdAREJ9LEV4Larqg4yxBx7jn0KGHoJBQhDkZ4NKBNRhI0PHDIJbToQT3oBiEB3rj5oXDmDN+CIaOGI2NhyTx0D4AGXlFgukVgoL546j9XoCOpJQEeJjdxeENCwg6hmL8LBGcu6EBz9B4lFTWoaa+HvXU+Zrb6LlqypHsb0PQsYWgg410TPrlSAeDjmm/AR23CTq6RzoIOu4+8uTQ0UpKXFmah5ggd+iSkh/aLhhq//77HzBo7EyCmqt8mqaADAezGx8SdDztaEZ+SjjMNK9j+5qlZABX4JC4HOzJmaSlJ8PP3hDie1Zh0rC+6DNoLFYR5OrZs7ML6n/uF28pHzJ0VBF0OD+Hjv4Y9QroYNums8P+mprY8fVNZLS6++hTNFTmIdzdDDfEj2LTph04fuk2H+mo+ihGOthhmA0oykyEt4M51JTkcO3GTWgZWiMgPBYZWVnISE9HalomMjLIJkT4QvfWJb6L7dTpc7D9yCXoPXKDn583dBl0rJiD8eMmYfUuMdyz8kVWWcMnBR0NVSWI9rSEitQJbFm/BgsXL8XixQsxd9ZUjBk+ED98+yX++e//8GnndXvOQtfaE2lkZ2rYPkNsw0UCvMddWy10tDagMD0SltpKEDu4C3sOn4GqoROSKKL/eaTjrw8dzxh0JHZDx1cvQccvbcfj9iaU5STAVk8NkqeO49SFG9C18kBSejYKCwqQnpaGNNLV0ooaFJdVfgDQ8aQZtQVJsDExgZ6RLdKK6OXxTwXytKMFhRnRfH+KA+vnY9TQgRg4aSmOX39I0FGAZ221iHI3wZH1czHw+28xdf5ayGjZIDI1B9H+jlC5sI8c+EiMmjgHu88qwMEvEukZaYgP84OD9SNY2TkjKDoFZbWNvzq34dnjVhSmMud3AWvmT8bQ4eQEdp+DuWcEisqLEelpivM7l2H0ILa50TKIyWkjLCkLZQUEHSYEHSKz+FyqYHrF9tXQQZ2fHWNdQ7+XnZpAEOAFi4fqkDyyAwumjELfAcMwbYUobhJNJ5NTiguwxKVD6zGQQQc58APiivCOTEdpTR0qizPIaT3E+b1rMJ7ldMxZw5NnfXz94GethfO7RNC/90/4vjunIzQBMRHB0JQ9h+Uzx2D48JFYufMk1IxdEJOUhkhfR74j6ezRg/iOpMv3ikOfou6U9FQEOxrgPIObEUMxcuI8HJZQhJ1vFArJOdazXVEJPBqbW1BXVYpEP2uCjs2YOGIQeg/unl7xRVCAq2B6Zdo4jBwz+RfQkZMcBmPVy1g5cxz69h6AOWv2QMXUBXGZ+XxesLSkAGnJ8fD3coSumiyO7lyDyWNHYOjoyWRcT0Pb0hOZRdXcELA15B8EdDx7SiDbhNzEEBirX8WWVYsxc/5yHJKQh1NQHPKLCfRC3XFbYh+WTBuFEWOmYdMRaRg5B6OwuvGjgo7KvGQ46d/C/vUL+OZgI/k26Drwj89DA8vpoLZqa65HWVEeUpMSkJCQhOy8ruPrnz5Ba0M5UsPdoX1bBmKnzuK6qgH843JR39q1s9hvyF8BOh53tKKqOAehnrbQvHkVYseP4eSZi7ipeo/v22NhbgoT0uVH9u4IiohDYkIE7IzUcGLXeixauBiiRyWhY+YIT09qn1tXsX01RfezF2H/WVk+GlTGdiQVWN83yl8fOrpO/E6OgLuNMTTVVSGvoAjZ69KQPH0Em1fOw+gh/fD1d70xctoynJRSgVNAJDJycsm+JCAyMqprc8k6vsdTB9sQsSgdPnYGuHntAi5IK0Lf1h9ZxbU8wOE5HR/D9AoF3HnxfpAT24ERbHOwXgOw8bAUzH0SUVr/s4dmK/GqizMR7GyEK6cPYcOGLTh6ThoaeqawsraB9SML0lVz2Dl7ISmrCIUMOvz8IPOnQkdnPSqyomGio427WiaIyy5CG33wc5d4RkpThfQoH9yXPYv1y+bxKZTTcg8Rl17AqARZMd5QPCuK2WOGYsaCVbigYgyfiAQEuFpC/owoFsyYhLnLt+CyihECoxKQGOkHs3vyOL5/D3YfPI1butaIzS5F08vjac8eo6YkHR7md3FsuwgmT5qCVTtPQd/eD5k5GfC3e4ATm5dgwujRWLBuH5QNHJFeUIYKgg5nI3XsWjGToKM/pi/fhutaVojJLBEc3PWio6NOwXbgzEtLQFRIAEJCQ8kZe8Nc5xYZkTWYOmWa4Ld17ZCSmYrEEFtcO7EVwwgeWCS849hlWHmEITk7H/nZKV2jQlswZdxojCFDfuySEr18a1hqyeMgQVtvgpXvB47HvvNK8AxLRkpSPCy0FLB7zVxMGDMa81fvxCUlHTi6ecHRXBeXjm7DpCF90LvfMCwWPYMHTsFIpUgrMdgZNyX3Y+6kMRg2YhzW7DwOFT1rhMQmUySWjczMTOQXlaG4MBcx3o9w/cQmgo6BBB0TsP24NCxcvOHv6wzlKyewcKoAOkRPSPGRqPzSCuSlRsFcQwbr5k3CgD4DMH3ZVsjcM4N3aDRRcwriY6MRHBJKJRg+brb4/9s786+qrmSP/w3vt/f6rdUrWUkn3Sbpblu7k6fGOBKTOBM1GnE2DmiiQUUEQQQVFEUFB+ZBRAEVUVREZBARZZ4u8wyCTJd5cvq+qg03ICEauhNEqM9atXB5p7Pr1K793fucs8vpkBkM5n+BCROnYuHqbXDxv9UlOsjFT2jGPDRWOp7hOYnosuxEVddg9aI5mDL9K6zeugcBobHILSqGJjYUDuYbMHfq/2ECxfImcwcSJKmobmz7lcNED0NVdPD25hV5KbjkYqPi7p23/oi//Gsatuw9idsJXBuEN8jqVPczJESHwtfTGSdPOcEv8Abup+agSlsPbe1DZMaH46yrI2wP2sOTZqcZxbxJ2M/WxF9gaIsOvvz2FM3aKmpbJDyPWWHdt/OhN3UKps+YhUXfLMWK5cuxfNkyrN34A6yOeuDG3RTk5ecg9tYF2JhsxuKv52PVRq694kfn/TIcbc2xbOEczPnaABZHPHA3vVA9STBiRAe1kyvKNtdXo7ykkGbdGqSlpSH+frSqX2VltBp640bjrXc/wKS5qymHXaLJbJ7azvvyOXfY2drg2GlvtSpcWlWPBhIV1WW5iL4ZANcTR+Hg5EPngGb/2q7K28PlkdnHLXVqR9I9hovw/h/+C//9v29j3uqd8A5JQlmd7v6yrse5U6OD4bBnM2ZNnYDR/xwHvZn6WL5qDVavWoWVK1dg45adOOLsj/jMEpRX1SIiMvJ1iQ5+droTLbWl0Ny7jqMHrLFn31GE3k9FZVPHC6Xa+ZGnptoyVdRoH5d6XmEIc3sfpJFyYmpKs3DF4xA2LJ6JmbPnY7P5EXgHXMU5jxOqZP7cWbMosVvAmwbMbBowkyMu4oDRMowf8zd8OGYy1pkcQVhyPurbft7w9qZqaGhG5bB3GxbMmQl9gw2wc/YltRZKg7UN1iz4Cp9/MQcbzQ4jKDIJj2q0eEgJ9aKrHQxmTsRHf/4zJnzxDXYf5/sMCqBt7nhxaZNER7O2Gmn3biPIzxvnL1zGjdBbCPL3wF5jQyxasAirtljA63IkSspLkZ8ajmPmGzH+o/fxp/c+xMxFa3HY1Q+hdxORmZmB++GXcZgG8s8nfoLRH0/C4jVbYXf4CI5YGmEJHc87b72Ft0f9CyuNDuAaDWY5lEDu8D4d1Pm+mjIBn079EkvXGan6Fnb7zLH2m5n4O80E3qZOOX3JJjgG3CKBU0QiKVHd5LtKfwb+OfpvNEB+iZXfm8D+tCcuBAUjNPwOktNzkJeTqW4u4uD95O+j8O4HHyuh5H0xGDeuXcCBXRuhN+Gf+PuYcTAw3KWup+aXPVKVSIPPHMOa+dPw1/ffw5hPv4Ch6UF4+gchPPw2QoKvwNf3PAIuBdH3BMHX1R47v1+Lbw1WwcjiMALD4lBW3ahmH0NHdNBvPXsMbUWB2htl7zZDfLNgIVYb7sAJ7wsIi7qDm5d8sN94Axbrz8OyddvgePY6knLK0DIMqsyy2FZ1dWgAyEmOhtexPfh21md4/9138NEn00gg2yEoIgkP65rR2tKMysIMhAS4w3LHJjXY8pMbPJhGxCYgncQyrwpe9POFL8XEnYRMPOJq1K94KmMoiw4WHGr30UINbl3yhNn3KzB9/FiMovh/770/Y9SoD/DBqFH46K//wJSvFsLY1hVhiXmorGKR/gAB7sdharQZP/xojAP2J6ltLjhoZYYN69Ziq4kVfK5EIv9hnXrqZSSJDs6xz8k47/KNoWytDbUoSImGt/1ufDt7Gg2Wn+LrtSbwCY5CYXkZ0h+E4cS+nVgyfzb0F6/CrgOOCAq7h1RNFjLTExFxMwgBfn64ejMaGQWP0Nze1T/fdNGhCpqSSKurKERcqD+M1+pj1Fv/gz++/T7mLN+Ck/7h0JTwBpdcV6ut67KKmx3WLZyB0aPexVvv/Anvvf8XfPjBB/iQV9tHj6Uxag32n76IlIIqGh/rEBn1ukQHBQFft6zIT0PEFR/sM9+FXeYH4HctEpkl1Who6XghgTx/2onK/FTcCPDAgYNHcfpsMHJKKtWg0t5Uh+z4MLjbW+LH7w3xo4klDtqfgP2hA9i+dRN+MNqJE16XEJdViurqCmhignBw5xpMHvcxxo6fQSLlGCJYdLT+PLFzqV/eGTHyCgke020w3LwVFjb2cHdzwtH9ZjD8bg227NwLj8DbFHwP0dioRZEmDgFuR2G47Gt8PnUq5i1ZCyuHM4hIyMIjbXOfcvbPVRJOu3cLAV5OcHJ2hffZczjr7QrbfRYwNtmNw06+iIzPQn1jPapLNQikk8yD/WfjJ+ArfQOY2p7EhZBoZObkIZvv7Hezx4ZlC6Gn9wW+/nYNTHZbYJ+FMdYvX4gpn32GSXpz1OOswXdS1A2jeelxCPQ6jh2GKzBvzmzMX2QAwy1GMN7+I9YYLMD0T8dhwsRpWLRuO075hyA9v0w9xhgfcRXHuX6B/leYPk0Ps/QXY8OPJrBzdIX/lVtITM9Gbk467l4/Bxvj9Zj7pR4m683Gph3W8KaB4kqgH+wst+Pb+bPwxcx52LTTmhJjOHLpvD4qp6API3G4Yz1mTfsME6fOwIrNJjjqchbB12/i6uWLcHVxgZOLK3x8vOF+6hj27zWHuZUNXM4GIS6DBd5Q3BzsGdqbaRaRdh/+7o6wMDbCj0bG2H/EAW5e3nCm2ZOFyXYYbd+FI05nEZnQVc7/39gFfciJjuf0m53tLagqL0BCdAhcqL+uM5iPyZMmYvqsBdiy+xDOB99BdvEjVeiwsjgTYYGeqrjhwrmzoP/NMnxvvBenPM/j2o1QhFFbboWFIyYhDUWVtWj/FU4ayqKDBRnHRkH6A1z0coDROgPMmPypKuU/ZsxYjB0zRj0x8fG4SdBfuh6HXC8iIa8SjS2talKWHBMKH1cH2Oy3xj6bg9Q+OxzYvw+W+2zhejYQ8Zqin556+bW8+aKjf55yte78FJrYOFDeW4l5C5bih92UE6Pi8bCqEtlJUXA9ZIolsylnTdHDgmUbYX3UVRXtjIyKQkR4GCKjY5CeU4zaJi741vW9b7bo4EnBY7Q01KFQk4ibJPhNNi3H1AmfYPynU2CwYTuOewfhAeXW+uYWtFKs5iREwOWQmSrWOv5jitGxY1WsjvnHaPV3HH1u2UZjuFwkwVvZiBrKua+vyqwSHQ0oL9AgJuwqvN2c4eZ+BiER9ynpVKKhV+U+HZ3UyKKsJEo0txEek4SK6np1Y9mzJ4/RVFOGlHthCDjjRh3jNE6ddoazsxMcTznBxy8I91Oy1RJ1e1sjHuYmINDbAWY7KOHvtITzuWBkFFX+wk6lz/C0oxkP6TjDr12Em8tpnKTv9nBzgfMpR/p+ZwQEhyEtj5/tbkF7K5fu1iAyJBDODoex39oKdkdP4nwQDcKaQtQ09N2RlERTcwPNVJIQFRKESxcCyFcXcSHAT9USOevPxdySUfSwFp2PO9HaWIP02FtwP34Apju2wdjMEo6efrgdm4KyymrUVJYgJfY2PE/Zw9x0F8z27IPjaVec9fGC62kHOh5rWO+3g5tvIGJTc1FRUw9tDXeyGAT6usDGygImu8xgbXMIxx0ccfjgAVjuNsVuCyscPumBa1FxKHxYrW6wqizOQcyty3A9bquOZavRNhr0KcGduYDbMYlK0DwsK6RZQyQueDvBznY//fZBuHr5ITQiGtFR4bjo64ljdrY4YGsHF29/hMcmo5QGkIb6WpTlptJM1wu2lqY0MG+H1SFHnAu6iXtxSbgfexfXr9Jsw9+f/OWP874+JD7O4sKVEMQmaVBOsdF7n46htiNpQw2J34QYBAf4wo3i1NnVDR50vt3d3eDi6k7n/Qqi4zNQXtPwwqrfQBhyooNmmFxwq6q8CGnU9qsXzuLk0UOUIyyxz/YwnX8/3IqOV3VzuFgg3w+UER+FAM9TNCkxgfFOE7XlvROLjpvhuPcgARlZuSh7VEszzc5f5aMhLTrIP7xFfmleBiKuX4LT8cOwNDej/GmscigblxgwNd+Lo6c8cCM6ESU1XDzyCc1OW1FNQj35fhSCLvnBy9MDHh5cu8kXF6+GqL1rqrgI4gBrTw1b0UGzeb58l3Q3FOe9XHD0+ClVQyspiyYrjQ14VJKDyGt+OGJthi2bN2HLtl04eMwF/pR/uMhnSmoG8opKUUs5v7fWffNFRyea6mtQmJWC6NAguJ8+CitLc+yxtMaxU+64dD0CqTlF5KMmtNJkv4AmrJd93XB4vxVMTXZiF5kxxeuOHdtJVOyE+R5rOHn5Izo5D7XNnSrnRvxUe2XQRUfXtbbGuiqUFuZBk5EGjSYTBcVlqFFPkzxRgqI3vNrR2qRVS+VlNPA1t3ZQR32uBo6nnVzx7hEKczRIjLuPmLvR6lHRuMQU5BRQcDQ0qxuBnj17rAbuAnLqvehIRN19gPTcEmibfmlplv7vOSfLZurUxdCkJanNX6LvdH1/YqqGBEEVmlq46A13/g510sqK88H3SyQlJVKApiO3oASPaIDnImR9N+bhTZCayA/lRfnIydQgNYU+l5CIRDr2zJwCUt5cwY+SKreThAcXLcpOi0d0xG2ERUQiLkWDYvJHCyXezvY2aNXribgbFYGIyGjEJ6UhJzcHOdmZSE1OQTJZVk4+KtSjdx3o7GhXx1ycn4m42Gh1+eJO9D3ExSciPu4BDfCxiH0Qj+S0LBSXPyJB2EoCqPvZ9YoS+q0EOpYwhISE0PHcQRK9r7SCzg/NwFqaSd1WliM/m9uVjCT67czsXBSX0jks5UqxWUij9iaTZWbnoayiCo3NbeggP/INYKp08j2ujnuLOnscNLnFqKyqwaPKChQV5CMzI53alISEhAQks58LSym5NnRVHSVhy/B5GVo7kj5XS5hNWoqTgjykJycqH/P9PDGx95GYwu2gflDfRAMKl2vv/twAGXKig87H08ftP234lZ+bjfTUZIrzRBUXmqwcFJU9RC21u629Ky7ra6tQlJOB+Ht3uqoYh0Ugmi+vkNgoKa+Elt7LT7V09d1XO2ooiw6df5pYcBcVUK5JRWJCPOLi4hDPJe7JuNR9QlIyMqgP8fXxlu62s6DraGtBXXWl2kgthfIOv58Hx/ziUtSRn3hJfKDxPlxFB68qdVD+qqXcVEBxmEFjD+eOGhK7nNs6KN9XPSxEWmIswm+F4Pp1zm2US5M1yCexUVWjVWUW+oq4N//yylOamDerOCotzKUxjGIwMQEJiUlIS2cf0ThWq6X+2U79k8YamrAW5NC4wvHWHaccr3E0bvC/uV/n5BdRTub444JvPZuDvZ7aK9zJuKJiRwfaqRGqNHxnV8W6X3yk6xlXtqOg6HhCB0rv6fU2NZOiQbepsZ5+qwa1dVqakbfQd7KA6XmjWsakDsrva2xsVttl91196A9eUWmjQNVq61BdTd+vradBuzvwur9etYm+n6vvqfZ0Wycds2pXPyNIjx/a0draop78qK/nm5ZITbZ14AmdkN7uUI8SUmA0NmhRR8fQSCKgQ/fIL72Rl8hYEDTUa9X3NPPrdAw8CHV2dB0XV7HUHU/Xx7pK3Dc3NUBL566+vgFNTc1oog7T3NyCFhIQ7TQQPKZZFftKHY7ut8iXjfRbtTVdPm9uYdHQdQ57V83s8UWnOhb2USeJixf+nwYF9f30Wd0xNdHMQx1TQ5c/+BiecGKgmOFr/03KXw10rptJbHSdy97+GnKioxtuH4vU1uYm1FP7ath/WopZPl/Uxv/00Iaa6GB+6h8qFnvOfU8M9PQTPje8l85j6tNdcVnb1e8o6TVSTKpHaF9VbKUPQ1l0MD/5p7u/cF5s7+OjDopxHhifUt55IX7p3/zZjrZW6jONagBsIj9xTuV++O8wXEUH++qFWFQ5qSe3sV+fPulU+b5eS3FXVaViT1vfSBPArpzf2/U63nTRQS2nWOH7NdgnfeOOrDtHq72tyJ7Sv3X9mMeHnvd2j+cUq105vWuc4Zx7+/ZtJTpey+ZggjAYDFXR8TN+42MZiqLjdTPURcdQY9iKjt+JN190/L6I6BBGBG+M6PiNEdHxc0R0DAwRHQNDRMfLEdEhjAhEdIjo0CGiY2CI6BgYIjpejogOYUQgokNEhw4RHQNDRMfAENHxckR0CCMCER0iOnSI6BgYIjoGhoiOlyOiQxgRiOgQ0aFDRMfAENExMER0vBwRHcKIQESHiA4dIjoGhoiOgSGi4+WI6BBGBCI6RHToENExMER0DAwRHS9HRIcwIhDRIaJDh4iOgSGiY2CI6Hg5gyY6+ARcunQJWq22+1VBGDxYWFRUVODcuXMwNTXFsWPHVGLg3VqHM9yRdQOsjY2NGmS5w3MnH6lwLLDoCg4Ohr29Pdzd3ZGSkoK2trbudwi9aW1tVdtac5/Zvn07nJycUFRU1P2q0BcWGA8ePFB5hkUHC36JrR4453LtFUtLy99edLDA6LvSwds86+DOLyb2exvDM35e6fDx8VECmAeb6Ohopbp7bw/d3+ffRNPBWzvzSgd3bN1KR2ho6M9WOvr7juFoDMcCCzEeDHqvdDQ1NanXmf4+O9JMBw+isbGxqs/oVjoKCgq6XxVf6UxH75WONWvWIDAw8IWVjv4+OxJMh26lw8LC4vcRHVwAbPfu3TA0NMTJkyeRnJyMkpIS1ek5GYqJ/d7G8cbLwbxEzIlz/fr1KiZZBPMMl2dt/B62/j7/JpquPXl5eYiJiYGLiwu2bdumEiELL565Dsd2v8pYePKAyYMC+4Rno7a2trh27Ro0Go16fST542XGOZp9kZmZqQYG7jM8iFpbW+POnTuq6Kb4qsd0fSk9PV2t6m/cuBELFy6Es7Oz8iG/NpLHPV37WQP4+vpi69atyliUVVVV/Taig5dReFbF5WsXLFighIejoyO8vLxUyXb+Kyb2exvHGi+h8zXpDRs2YPbs2Vi6dKlKoidOnICnp+ewjEddu48cOaI6NyfAxYsXq/54/PjxYdvul9mZM2fg4eGhxCf7ZMmSJWogtbKyUoMDvy65qct0fmC/8PV37jNffvklVq5cCTs7OyVexVc9xr5gO336NMzNzVWemTx5MrZs2aJ8qHtP38+NFNP5hzUAX/ngXLRp0ya14shXQH4T0dHY2IioqCiV3GfOnKkCdsWKFfjuu+/ExAbV+NrqsmXLVBxOmjQJn3/+uRLCnED7e/9wMR5QDQwMMGfOHEydOhXTp0+Hvr4+li9frnzS32eGs61bt0795ViYN28e9PT0VF7iBLh69eqfXhfrMfbLokWLlK8mTpyIGTNmqJjiFcP+3j/SbdWqVUrgc54ZN24c5s6dq3zY33tHonHu4Rw0a9YsJfz5agjf//lrqiC/UnTwzTPZ2dnw9/dXMwlWN3wdh28gERMbbOPYMzMzU0+v8LI6i2GewfX33uFkI7Xd/RnfX8Z/uf08G2V/sPG/e78u1mO9fcWX5/gvx5T46peN+xj3N/bXSO5v/RnHEucj1gS88pGWloaWlpbfRnTwcgnfQMPX/viaVmpqqrrelZGRISY26Max19f6e99wtJHa7leZ+OTV1tdH4qtXW29/ib1oOt9kZWWp+zz4xlt+jL33zaa/xCtFhw7+MlYxLELExF63cSyOxHgcqe1+mYk/Xm08IPBfiZ+Bmc5f4rP+jf3S98mWV/GrRYcgCIIgCMJ/gogOQRAEQRAGBREdgiAIgiAMCiI6BEEQBEEYFER0CIIgCIIwKIjoEARBEARhUBDRIQiCIAjCoCCiQxAEQRCEQUFEhyAIgiAIg4KIDkEQBEEQBgURHYIgCIIgDAoiOgRBEARBGBREdAiCIAiCMCiI6BAEQRAEYVAQ0SEIgiAIwqAgokMQBEEQhEFBRIcgCIIgCIOCiA5BEARBEAYB4P8BeM+oiwmwXvUAAAAASUVORK5CYII=)
- 28.3
- 28
- 27.3
- 26.4
Hint:
The direct method is the simplest method to find the mean of the grouped data. The steps that can be followed to find the mean for grouped data using the direct method are given below,
- Create a table containing four columns as given below,
Column 1- Class interval.
Column 2- Class marks (corresponding), denoted by xi
.
Column 3- Frequencies (
) (corresponding)
Column 4-
(corresponding product of column 2 and column 3)
- Calculate Mean by the Formula Mean = ∑
/∑![f subscript i](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAASCAYAAABvqT8MAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAANvpXuIwAAAIFJREFUeNpjYMAOmIBYnIFI4AHE76D4ChCz4FMMknwKxAZQvhYh04OAeDkDCaAeiMuJVbwOiP8j4UhiNN0AYllibQAF5TdS3G8OxPtJ0QBy83xSAmQSEKeRYgMolLxICRBQUuAgNkBEgfg5sQEyAWpdB7EBYgxNQ/gA1QMEA8ADBADNxBw1l0f+OQAAAGB0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXN1Yj48bWk+ZjwvbWk+PG1pPmk8L21pPjwvbXN1Yj48L21hdGg+jM5AxgAAAABJRU5ErkJggg==)
Column 1- Class interval.
Column 2- Class marks (corresponding), denoted by xi
Column 3- Frequencies (
Column 4-
The correct answer is: 28.3
Given :
The frequency distribution of the marks obtained by 100 students in a test carrying 50 marks is given below
![](data:image/png;base64,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)
Step 1 : Create a table containing four columns as given below,
Class interval
![x subscript i](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAAOCAYAAADwikbvAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAKBJREFUeNpjYECAZCDuYMAEzVA5guAcEIsj8ROBeAoDkcADiPugbBcg3stAItgNxPZAfAGIhUnVXADEv4BYj1SN1kC8Bur0SDzq6oG4HFlACYg3ATEXEPMA8RlinS0KxNvQFPsA8WIc6m8AsSyIwQbE64BYGoui5dAYQAZMQPyNgUxgDsT7ydUMCsj55GqeBMRp5GoGhY8XuZrfATEHiAEA4YwX0QQqN1oAAABgdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdWI+PG1pPng8L21pPjxtaT5pPC9taT48L21zdWI+PC9tYXRoPk0WKPUAAAAASUVORK5CYII=)
![f subscript i](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAASCAYAAABvqT8MAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAANvpXuIwAAAIFJREFUeNpjYMAOmIBYnIFI4AHE76D4ChCz4FMMknwKxAZQvhYh04OAeDkDCaAeiMuJVbwOiP8j4UhiNN0AYllibQAF5TdS3G8OxPtJ0QBy83xSAmQSEKeRYgMolLxICRBQUuAgNkBEgfg5sQEyAWpdB7EBYgxNQ/gA1QMEA8ADBADNxBw1l0f+OQAAAGB0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXN1Yj48bWk+ZjwvbWk+PG1pPmk8L21pPjwvbXN1Yj48L21hdGg+jM5AxgAAAABJRU5ErkJggg==)
![x subscript i f subscript i](data:image/png;base64,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)
0-9
![fraction numerator 0 plus 9 over denominator 2 end fraction space equals 4.5](data:image/png;base64,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)
8
36
10-19
![fraction numerator 10 plus 19 over denominator 2 end fraction space equals 14.5](data:image/png;base64,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)
15
217.5
20-29
![fraction numerator 20 plus 29 over denominator 2 end fraction space equals 24.5](data:image/png;base64,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)
20
490
30-39
![fraction numerator 30 plus 39 over denominator 2 end fraction space equals 34.5](data:image/png;base64,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)
45
1552.5
40-49
![fraction numerator 40 plus 49 over denominator 2 end fraction space equals 44.5](data:image/png;base64,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)
12
534
![begin inline style stack sum f subscript i space equals space 100 with blank below end style](data:image/png;base64,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)
![begin inline style sum for blank of end style x subscript i f subscript i space end subscript space equals space 2830](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHkAAAAVCAYAAABizEFoAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAy5JREFUeNrtWU9kXEEcXhGxVpRYK2pVWT1UDivkUBWxlqpVVVX2sHKoKNVT5ZZDDzlU2UOtVVVWrByiQkVERZWqlUNViaqqqFI9RFUuq1asZ4Xtb/gekzHz3ryXeTKveR/fIfN+O+a937/vN0mljmN4QiaIARInnwHc4xzWCBEgCWKC68QenPaamLbUySPEycRd4TFF/A3H7RJzlp2vQuyC34ijFpxplriBBBkQvxDnFbYZ4jPiIdEhviXmBZsy8Q2xD5sfxCYxK9nvHPEF8RPYwpovJuFg5uh9ON4GjCIAp7mAtAE7xBpxnDvXB6yJaBOf4F3GiHU4h0eHeAfPXUwjIES8J97i/r6JNS1kULKZo/+ilJ822Iuvx6QiXiR+law7ktYz0NyzJ/xdRVUQ0VQEmBINOPoI4syEwKtL1h9r7L9MXIpR63Mka4dcxrtO3tfYq0D8LqxtKJKvjGfaqHGqu23o5T8LwmmB+NznN5vCyFYzcI4oR8OrKNkiWOY9FOye+rTOBfTlG8KzrlDSXbC1gyAirMeJsLQhJ1e4Me1agB7CIvlCDDI4jT47K3lWRHkeoJf/Ic5pBOCixObI4wxaLWAc0TNExJj+uO+IJSjRrObY1I+BgyeIW4oyyvr0S+J5LgNniD/hfNV+txE0pQBOdnQOu8VFURSiaxHRVtS0vwLVaRKmy3UB3+2SR8spKnpoRyPpRBV+oCjXaZ1yvcS95HKEc2XDp7fyQovZrVosyi4TVzCVhMkuncxzJMKrorjU8hReJc7B2xF8jAJGswyic1ezXDPBct/SEs3E0SuNi5k9RZZPoTd7oYj2KY6UKxLbVa/kySPNh+gTE4Y/Rg43OVlheF/TEFqbEnVpiyjbRibrzPl7KM8jYBnf+oFwuVJF0Lg2v4h3JXt20Prcy5VH+L3yNukjHNwP0CtTmr1rDI7KS56tS8qOKLS6Hur+tEVZkJ5exQg5QPndgbDiMYfAccAOkkElzNqwY9+gJczhx9DiDjYf4iVNgxdaOZ9yFoUo+y9h2/+TXaHVRCmua9gmiJmTXaE1g14WV1GWwAN+QiusbQKL4CW0TmJ7pvAPPiEdD7/DkS4AAAEhdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdHlsZSBkaXNwbGF5c3R5bGU9ImZhbHNlIj48bXVuZGVyPjxtbz4mI3gyMjExOzwvbW8+PG1yb3cvPjwvbXVuZGVyPjwvbXN0eWxlPjxtc3ViPjxtaT54PC9taT48bWk+aTwvbWk+PC9tc3ViPjxtc3ViPjxtaT5mPC9taT48bXJvdz48bWk+aTwvbWk+PG1vPiYjeEEwOzwvbW8+PC9tcm93PjwvbXN1Yj48bW8+JiN4QTA7PC9tbz48bW8+PTwvbW8+PG1vPiYjeEEwOzwvbW8+PG1uPjI4MzA8L21uPjwvbWF0aD4iQeAoAAAAAElFTkSuQmCC)
![M e a n space equals space fraction numerator stack sum f subscript i x subscript i with blank below over denominator stack sum f subscript i with blank below end fraction space equals space 2830 over 100 space equals space 28.3](data:image/png;base64,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)
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A frictionless track 12345 ends in a circular loop of radius R.
body slids down the track from point 1 Which is 6 cm. Maximum value of R for the body to successfully complete the loop is
![](data:image/png;base64,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)
A frictionless track 12345 ends in a circular loop of radius R.
body slids down the track from point 1 Which is 6 cm. Maximum value of R for the body to successfully complete the loop is
![](data:image/png;base64,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)
physics-General
physics-
A body of mass 1.5 kg slide down a curved track which is quadrant of a circle of radias 0.75 meter. All the surfaces are frictionless. If the body starts from rest, its speed at the bottom of the track. is ..... ![open parentheses g equals 10 text end text m divided by s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
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)
A body of mass 1.5 kg slide down a curved track which is quadrant of a circle of radias 0.75 meter. All the surfaces are frictionless. If the body starts from rest, its speed at the bottom of the track. is ..... ![open parentheses g equals 10 text end text m divided by s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
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)
physics-General