Physics-
General
Easy
Question
A particle is projected with initial speed of
and angle of
. Find the horizontal displacement when its velocity is perpendicular to initial velocity.
The correct answer is: ![fraction numerator V subscript 0 end subscript blank to the power of 2 end exponent over denominator g t a n invisible function application theta end fraction](data:image/png;base64,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)
Related Questions to study
physics
Two bodies of masses m1 and m2 are initially at rest at infinite distance apart. They are then allowed to move towards each other under mutual agravitational attraction Their relative velocity of approach at separation distance r between them is
Two bodies of masses m1 and m2 are initially at rest at infinite distance apart. They are then allowed to move towards each other under mutual agravitational attraction Their relative velocity of approach at separation distance r between them is
physicsGeneral
physics-
A man crosses a river through shortest distance D as given in the figure.
is velocity of water and
is velocity of man in still river water.
is relative velocity of man w.r.t. river, then find the angle made by swimming man with the shortest distance AB
![](data:image/png;base64,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)
A man crosses a river through shortest distance D as given in the figure.
is velocity of water and
is velocity of man in still river water.
is relative velocity of man w.r.t. river, then find the angle made by swimming man with the shortest distance AB
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t3fotMJgOn01k7SnR6yMFETgk7Ojtx8dJFvPXWWxgYHKwdfbbnDkxWnUwmtDdhWV5e1l6bsVq+f9gkMiItFXHJ5Xa7EQgEMTY+Bp/PVzv6bC9mkYPo/ymZz/ctdHA1gug5/NAqIgMjUoiBESnEazCDKsRPtBXckr9Jey2GPw2mTxzBDCmP+JMN7CwsYPsohQPxLZLfJfWJgRlOQWxRbM99ijvvvY8vFg6xcgSUWZguMTDDOQFij7Gz9gCzDxZx92EY66ESigxMlxiY0SQOkFudRzR2gPVsEY8X1/FkdRspeRsP6Q4DM5j0QQrbS3G4g34MXmiDJbqJg+VVbGYqSNYeQ/rBwAxDjlAJHB6msbzlRmB4HDd+Noq+UgjZrWUsRPOIlKqPJP1gYEZRyQD5JRxnE1iznkVj3yu4eHYcl4JH8GTW8WAxhtBe7bGkGwzMKAo5YOcxThIxxFv7YPIPI+DtwHi3CX7zIdYfbGEndKKNc6QfDMwgiukconM7SB3E4Op1IQM7TmI2BHsCaPZWcLAwLwILQQ5if/zFRlRvDMwQ8sjlj7AaBmLxMlrtCRQTR4geZlBs7YTL64Rn7wGOQmE8OgFSXLLXDQame7KWELKZCFbyASQqfvSZE3BmDnCSzSHTOozGYCtGTOvIRHYwt1pBLF19JtUfA9M9E7C3jUI0inzvFJrOXcfk6AgmRgYxfGYcI5M3MPXSJF4Zr8CaCmNhbhOxJCeJesHAdK6UORLXVyvYWgoh4wnC2duHYFs7mgNBtMmPnk70dbdjqMcGnGxj495drGzt4agMFDhVrDsGpmfZMBLbd/DZ/8zivY9XEN4NIZVLIf6HcOROCvlMAslcBekni9i/+x4++Ow+Ppw/wH6+DL40Vl8MTNcssDh98A+dx8D5i5jq96Hfa4JZdFVtrLpj83UjMPUGXvnp6/jV65OY7G2G32mGTcwuv//nbUk1/jyYrsmA5C86r1SDMlXf6NL8p9WIx1QqZZS1jybxMLFpj2Vg9cbAiBTiFJFIIQZGpBADI1KIgREpxMCIFGJgRAoxMCKFGBiRQgyMSCEGRqQQAyNSiIERKcTAiBRiYEQKMTAihRgYkUIMjEghBkakEAMjUoiBESnEwIgUYmBECjEwIoUYGJFCDIxIIQZGpBADI1KIgREpxMCIFGJgRAoxMCKFGBiRQgyMSCEGRqQQAyNSiIERKcTAiJQB/g/zh5CXVEgDcwAAAABJRU5ErkJggg==)
physics-General
physics-
Graphs velocity → time is given for cars A and B moving in a straight line in same direction. At time t=0 they are moving in the direction from A to B, then.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAhoAAAGwCAYAAADv1swzAAAgAElEQVR4nOydd3NbV5L2H+QcCBAkwBxFUqIoKo7HGsv2zKw9WzO1W7O1H2G/1n6AnU21W7Njezx+PQ4Klq3EnAMIkiCInC/i+4eqjw6uQEnUmAJN9a+KRRLh4gI495w+3U93a+r1eh0MwzAMwzAngLbVJ8AwDMMwzNmFDQ2GYRiGYU4MNjQYhmEYhjkx2NBgGIZhGObEYEODYRiGYZgTgw0NhmEYhmFODDY0GIZhGIY5MdjQYBiGYRjmxGBDg2EYhmGYE4MNDYZhGIZhTgw2NBiGYRiGOTHY0GAYhmEY5sRgQ4NhGIZhmBODDQ2GYRiGYU4MNjQYhmEYhjkx2NBgGIZhGObEYEODYRiGYZgTgw0NhmEYhmFODDY0GIZhGIY5MdjQYBiGYRjmxGBDg2EYhmGYE4MNDYZhGIZhTgw2NBiGYRiGOTH0rT6Bnyr1eh0AoNFoXngbUavVUK1WUS6XodPpYDAYoNVqxfPq9To0Gk3T5zIMwzDMTxU2NF6Der2OWq2Ger0OnU4HjUaDWq0mjAi9/vmPVVEUJJNJ7OzswO12o6urC1arFRqNBtVqFYVCAUajESaTSRgsrwobJwzDMMxphUMnfwO0wMueDLqNDBG6T1EUhMNhfPHFF7hz5w42NzeRz+dRr9eh1WphMBhQr9dRLpePbWgwDMMwzGmFPRqvgUajEWEPGfJkkMeDDA+NRoNCoYCdnR18+eWX6O3thc1mg8/ng8lkgl6vh9lsRqlUQqlUgtlsZi8FwzAMcyZgj8ZrInsz1NqMWq0mPBp0WywWw+rqKjY2NrC8vIyVlRXkcjmUy2WUSqUX6jsYhmEY5qcKezReA9mAUIdN1N4MCodsbm7i4cOHSKfT0Ol02N7eRrlcFscpl8sAAIPBwMYGwzAMc2Zgj8ZrIHsx1J4IdQZJtVpFMpnE0tISHj161CAKLRQKAACtVsuGBsMwDHMmYUPjmNTrdVSrVdRqNfE/8LwwVKvVQqPRIJ/PY3Z2FrOzs9ja2kKxWEQqlcLOzg62traQSqWa6j0YhmEY5izAoZPXQPZoqG8nNBoNisUiwuEwbt++jaWlJRQKBWFUxONxfPfdd/B6vXA6ndDr9dBqtZxxwjAMw5wpeCv9GshprGR0yLU16L5sNovt7W3cuXMH29vbDQW6stksbt++jdnZWSSTSWi1Wuh0OjY0GIZhmDMFGxrHRKPRQKfTNRgNBIVTyNBIJpPY2NjA5uYmcrkcrFYrTCYTTCYTKpUK5ubmMDMzg2AwiFKpxJVBGYZhmDMHh05eA7UeQ30f6TPS6TTC4TAKhQLK5bIwTij9VVEUJBIJJJNJVKtV8Xz2ajAMwzBnhZYYGq9bM0IOS7zqa7zO67wMMgbUBoHskahUKojH49jf3xeGBZUol8MsuVwOiUQClUrlhe9D/R647sbbTbPx/aKeOXLatSw+Ps41xTAM8zq88dBJrVZDqVQSO3jiZbt4uQhWs0Ve/T8t7HKGCD1O/v9VXlvWYNBzS6USisUidDoddDodAIiQSrVaRSwWw/r6OpaXl5HL5RqyVLRaLfR6PTQaDUKhEGZmZlAoFBoWCvk9yHU51J8hLxJvB/KYr9VqqFQqz11HpVIJhUIB1Wq16fWQzWahKErDbUc99ji3MwzDvIg37tGgHRUtlpRpQQ3KaBKjZmXy82SaGQxyyW85hEGPpZ1cs/DEUTs7uV6GPNHLxgLdX6lUoNFokM1m8ejRIzx58gTBYBCKojTsJOn89Ho9stksQqEQdnZ2YLfb4XQ6Gwyqo8I0sk6EOduQoUnIY4kKwpHBIWcvyUZIvV6HwWAQRrF8rFf1mql/MwzDvAotMTT0ej1KpRLK5TL0en3TAlhkdJAHoFmmh6xroN/0NxkCAFCtVsXuX/YKyM89DvV6veHYdCwKfySTSdy5cwdPnjzB4eEhSqWS8HxQ0zQSlRaLRezt7WF+fh5utxt2u73BqJCNJdktbjAYjn3ezE8P2YOnNgr0ej0qlYooY28ymWA2mwFA3C4b3haLRRxTfT0R6rCLuvItGxkMwxyXN25oyDt/o9H4XCMy8mRoNBqUSiVUKhWYTKaGnZjaoKDFGHhqQBQKBRgMBphMJgBPjYFKpSKOLXs4Xkd8qZ6IacdpNBpRLBYRi8Xw+PFjbG5uolAooFarwWg0wmg0olQqiRCMVqtFPB7H0tISPvvsM9jtdvj9flit1gZvCUHGknpXypxdaKxXKhVhWNN4M5vNYpyQQU7QGDOZTA2GeqVSQaVSgdFoFH+bTKaGa0oun08GvewhZBiGOQ4tEYNqtVooioJcLodYLIZyuYxyuYxMJgOTyQS73Q6z2Qy73Q673d5UxKYOkQBP+4UUCgWk02mxkOt0OhiNRphMpqY1L9QT9KugnmzJo2E0GpHL5RAOh3FwcIBMJtPgdZEncOCZARSPx/HkyRNMTk7i6tWr6O7uFp4edRptM88Oh1DOLmSYU2gReDb+qtWqWPzJw0UGtVarbQiV0DVE456OozbS6Xb1WFWH8hiGYV6VloROKGQQCoXw+PFjJBIJ5PN5HB4ewmq1wufzoaOjAxMTExgdHX1OAKqOFdPtuVwOkUgEoVAI6XQa5XIZNpsNXV1d6O7uhtFobNipNVu8j/M+1KJUEoFubW0hk8mIUApN8PQ/Te60gJRKJVGSPBwOw+/3N2hQZO+NfJ5ygTBeAM4m5FHQ6XQwGAzC60e3y16ufD4PRVFgMpmEp4M8ahqNBlarFcCz8Sh7A2XjW75d7d1gY4NhmOPSsjoa0WgUMzMz+OSTT7C6uopYLIZKpQKtVgun04mLFy+iVquhu7sbZrO5oQYFTX6ySK5arSISieCHH37AH/7wB2xtbaFWq6Gvrw+3bt3CBx98gOHhYTgcDhgMBhgMhiNLib8MWe9BXpNarYZMJoPV1VU8fvy4watCxgTFzEmwR+5tOlYmk8HBwQHK5TIsFotQ+ZO+Q21oyOJS5myi1WpFaIPGmNFoFHqLfD6PYrEIjUaDzc1NBINB2O12uN1u6PV6rK+vQ6PRoKOjA5cuXYLT6YRWq0U+nxeePjo2jTca0xRqVHsSGYZhjkPLDA273Y7u7m6Mj48jGo0iFApBURQRUhkfH4fRaITVaj1SWyEvvNVqFalUCsFgEPPz8wiFQrDZbOjt7RUTL3k06BiyVuJVIVe2TqdrUPjn83nMzc3h+++/x+zsLDKZTIObWg7/qHeH9B4ODw+xvr6Od955Bw6HoyELR72TVKe8Mm8HNObK5TL29vawsLCAlZUVFItF7Ozs4ODgAE6nE+fPn0cgEMDDhw+RyWRgtVqxuLgIjeZpo79arYaLFy9ienoadrtdeEBkjRTBY4xhmL+FlhgatVoNXq8X09PTcLlcAIB0Oo2DgwMkEgkYDAZ0dHSgo6MDTqfzuefSREjxZ1qM8/k84vE4stks9Ho9AoEALl26hAsXLqC3txcmk0nUpnhdjwa5rGXXcj6fx/7+Pu7du4f79+9jdXW1oXaGHOJR1yKQvTOUfRKNRtHW1gaLxdKw22x2DiwMPdvIYmONRiPEndSw77vvvsPnn3+Ovb09xONxlMtl9PT0wGg0wmazIZFIYHd3F/l8HhsbG4hGozg4OIBWq8XHH38MrVaLvr4+uN1uWK1WWCyWI8cUF4ljGOZ1eOOGBmWF6HQ6uN1uTExMIBQKYX19Hfv7+yiVSrDb7bBarTAajQCOLqglT3g6nQ7VahXFYhG1Wg2Dg4P48MMP8Xd/93cYGxtryEBp5h5+VeTQB7G9vY1vv/0Wt2/fxurqqvBmkNeDjAsyMOg33UcZBfv7+5idncX9+/dhNBoxMjIisnLUmS4kMmVD42xDBjWNITnjZGJiApFIBPv7+4jFYtBqtejo6MDvf/97/PrXv8bo6CjGx8eFKNlisWBrawuzs7NYXV3F/Pw8wuEwfvazn2FsbAwDAwPo7++H3W5/obHBhgbDMMehJR4NctNqtVpYLBaMjo7ixo0bIuRAdTYovbVZWp0slqRwhqIoKBaLMBgMGBwcxPXr1zEyMgKXyyWMC1LjqwWlrwoZGtVqFYVCAQCwuLiIL774AgsLCzg8PEStVoPFYhGvQzUNCFosHA4HSqWScGUXCgXs7e3hm2++gcPhgMvlgs/nawj3MG8fsk5Czhyx2+3o6upCb2+vMMbb2tpw+fJlDA8Po729HXa7XYiONRoNenp6MDg4iGAwiK+++goPHjxANBpFMBjE9evXYTabodPpYLfbjzwXhmGY4/DGDQ1a6GlXToLPGzdu4IsvvkAymUStVsPBwQH29/cRj8fhdrtF+p66MRnw1EuRzWYRi8WQSCRgtVoxODiIyclJeL1eUdiI0v3UaXuvqnWQsz9KpRJyuRyKxSLm5+dx9+5dHBwcoFqtwmazIRAIwGKxoF6vIx6PI5PJCG+LXq+HzWbD4OAgFEVpuD+VSuH7779Hb28vxsbGxHuvVqsNtTVYn/F2IWuSFEURxe7MZjOsVitKpRIAwOl0oqenBw6HA/V6HR6PR+iCKpUKvF4vRkdHUSgUoCgK5ubm8PDhQ8TjcdRqNQQCATgcjobCcXS98HhjGOZ1aEnoRFEUkUWhKAoMBgO6urpw9epVhMNhzMzM4Pbt28Ij8MEHH8Dn84mFtlKpNBQjUhQFa2truHfvHh48eIDOzk4MDw+LWDVNkrIAVB3+UPMy7QZ5NWZnZ7GxsYFcLodqtQq3243h4WG89957OHfuHHQ6Hf74xz9ibm4Ou7u7Qp9y4cIF/PM//zP0ej2CwSAePnyI2dlZ7O3tIZ/PI5/Po1QqifoJasOCUmUptMKcbeTUU4PBIOqsHBwcYG1tDYVCASaTCQ6HA8BTY5jEzxS2o1BdvV6H1WrF+++/j3q9jn/9139FOBzGnTt3MDY2hq6uLvj9/obsKjkdlmEY5ji0ZJWSM0io2JDb7caNGzewvr6O1dVVxONxPH78GA6HAyMjI7DZbHC5XA0CyEqlIibPfD6PRCKBXC6HQCCAQCAAu90ujIvjKOlfZmTQpGuxWNDe3o7p6WmRetjW1oahoSFcu3YN/f39qNVqiEQiiEaj2N7eFsbI2NgYrl27BpfLhVgshrGxMUxNTSEYDMJqteLy5cvo7OwU3gyqpkoTPVdpfDtQ11OhRZ+MBwqLyAYAaYDUj5c9elqtFt3d3ZicnERnZyf29vYQiUSwu7uLVCr13GuygcEwzOvSkoJdtHjS5KfVamE2mzE1NYVHjx7h3r17CAaD2N7ehsViwUcffYSenh6RoaLX60XRLwBCBEqllfv6+uDz+ZpqMdQGx3FdwnLGh9VqxdjYGJxOJy5duoRcLger1Yr29nZ0dXXB4XCgWCxienoajx49EguAw+FAd3c3/H4/Ojs70d/fj4sXL+Kdd95BJBIR4aSenh5oNBoUi0WUSiXhhSGBIAtB3w7UGUYkIKY0a4vFAr1ej3K5LAwPQk6lJoOEjA29Xi9qaVAfnnQ6LTRDslBanV7OMAzzqrSse6vcPI12ZlarFW1tbWhra8Pe3h4KhQJSqRTi8Tjy+Tyq1SpyuRyMRiPMZjPMZjNKpRISiQTm5+exu7sLvV6PkZERdHZ2PtctVX59oNEd/arGRr3+tFsmNW2zWq3o6+uD3+8Xk7DBYIDRaBTZAkNDQ+jt7YXL5UI6nW4oiU7Gh9FoRFdXF9rb2wGgoYqpXE5avo15O5ANDHXX4HK5jFwuh1KpJNJfKWuLKonSMUinQf9vb2/j+++/RygUQjabhd1uh8PhEL125PLnWq1WaKooZMkwDPMqtKSpGoUy5FbntOPq6urC+Ph4Q7+QJ0+eYGhoCD09PQ3P0Wg0CAaDuHv3Lu7du4d6vY4rV65gbGwMHo9HuI0BNEyM6roWx5k0aScol2eWu2bKtTnIW2IymeByudDW1oZcLodyuYxisdjg3qYYutFoFAYQZdzIabjq2h8s0jvbyNoiMkppTJBWQx4XZHjncjmYzebnmgeSsaDT6bC7u4tHjx4hEolAo9HA6/Wiq6tLeA6Bxh4n6i7KDMMwr0JLNBpyWW2aCKlmxsDAAK5fv46trS0UCgXkcjl89913QsPQ1tYmdBmlUglzc3P405/+hCdPnuDixYv4+OOPMTIyAqfT2WDUNGu3/jqQ4UDHkTtbAs+8JLQgkJvbaDSKap+KoiCfzzc0ylIURbwGiV0BPOfJaFZRlDnbyIaxbGwYDAZYLBZRPVdRFKRSKayursLj8TRcX5StQt2DrVYr1tbWMDc3h1wuh7a2NgwPD2N4eBhtbW3i9ej1uTgcwzCvS8vEoMCz4l16vR4mkwkGgwHDw8PQaJ72bUin01hcXMTy8jIeP36M6elpXL58GTabDYqiIBQKYWZmBvPz87Barbhx4wY+/vhjkdJ61KJME+jfskOj59DrEOowDMXNqS6IvCOVY+Cy8ULHVxtI5B6XJ302Nt4OaBxUq1VRk4WyTPx+P+x2OzKZDLa3t/HFF18gkUhgeHhYGCeFQgEHBweiL4rFYsHdu3exs7ODzs5OXLlyBe+//z7Onz8v6s6oG6wxDMO8Di3r3irv0MvlstAp2Gw2+P1+jI2NYW5uDouLi8jlctje3sbi4iJGRkag1WoRi8Xw6NEjzM/PI5VK4fr16xgfH0dXV5d4LblsN/E69TPUz6fmaOoeLECjoUGTfLFYRDqdRjqdhk6nQ3t7uwgDUYVP2T0up7Oqjy+/BnfTPPuoS5DTwk9p2uVyWRS2K5VKyGQy2NjYgF6vRyqVgl6vRzabRTqdFrU2qtUqwuEwdnd3odPp0N3djfPnz+PixYtob28XKeGyfkkWmcoaEYZhmJfREkWXPEmRe1dRFLGYmkwm9Pb2or29XWgyotEo1tfXkcvlUCgUcHh4iO+++w6rq6uo1+u4ePEi+vv7xSSo7g+ifm25xfpxIEND7lcix77V+gkyNFKpFFKplKgZMjg4CIPBIBYKOl+5dLnaIGuma1G/JnP2oFAaff+kzajVasjlckgkEqIdPHnKKpWKKCiXyWSQTqdhtVrh8XhgMpmwsrKCw8NDmM1mOBwOtLW1weVyNfQPkg1dqm6rzmphGIZ5GS0p2FUqlYT732g0Cn2GnI3i8XjgcrlgNpuFeJKapZHIjbq02u129PT0wO12vzBcInsJSFtxXOS23fLzmwlKaQcqh01Iq+F2u4V6Xy6PTgW41EZSsxi5WhjKnE1kDxmNO/KGKYqCbDaLarUKk8mE/v5+/Mu//AumpqZEkTtqJe9wOFCtVrG+vo7d3V3Mzc3h8PAQjx8/htVqFeG73t7e55oZ0jUKNB/rDMMwR9HS0AnwTBhKra9JbNnd3Y2RkREMDg5ieXkZ5XIZ+Xxe7NyovoROp4PH44HP54PNZntOwAY0ZpfIRYzoXI6LvOuTxaYAGl6Tjk87RqqrkUwmkUgkUK1WYTabhWuadqPNjAd1poz8PpmzjXy90PdPxqnT6URnZ6cwsq1WKwYGBjA6Ogqv1wvgWSNB8oKYzWbcunULxWIRMzMziEajWFhYgMPhgMfjgd1uF5kn5E2hFgAMwzDH5Y1vTahgF4U4yB1Lng7K0/f7/RgfH8eFCxdgtVpRLpeRzWaRTCaRzWZFLYu2tjb09PTA5/OJ3iJyLFueoGVe5Al40eKtvk+uB6LuBFuvP+3Q6na74fV64XA4UCgURHycPDtUzlxdjVH+kY9JCwe9LhsbZxdZEAw8ayBIlWIdDocwNMhopbFPWg6dTgeTyST+9vl8+PDDD3H9+nX4/X7U63Xs7u5iZmYGi4uLiEaj4rWoxo2cTcUwDHMcWlpHQ6PRiDAI7e4plJBKpdDW1obJyUl88803yGQyopS3VqvF6uoqIpEIfD4fbty4ge7ubthstgYPhZxdohaBygWxmi3U6tuOeozswZAfJ2tByuUyCoWCqLgo304eHTqfl0F1PJi3B/J4yWXoqZJnOBzG2tqa8JCpx5FcsIsq5VosFly8eBH5fB46nQ6ffPIJotEoIpEINjc3RYM1ynKS+wWxUcswzHFpSehE/qFQAdWUoMXfYDCgo6MDw8PD8Pv9yGaz2N3dxe3bt+FwOLC7u4t8Po8rV67gxo0bcLvd4livYjj8WHFmOl+i2evLXhu5cqi8U33VSZwn+rcLOVQml58H0OC5kLNEKFUceFYRlLwZdJvb7cbU1BQqlQo2NjaQz+cRj8cxPz+PxcVFnD9/Hm1tbUJHRN4NgLNOGIY5Hi3ZGqsXefUiq9PpYLfbodFo0NfXh5GREYTDYezv7+Ozzz6D0WiEoijQ6/U4d+4cLl26BKvVKibk0xROUC8UVDPEYrGIHWazwmIMQ1CFWHm8AE8XfJvNBqfTKQq70W30WArLyZ1YAYiW8FeuXMGdO3ewvb2NcDiMxcVFzMzMYHp6GleuXGkIv1AY5TRdXwzDnH5a7oOXvQFqwabVakV3dzdu3rwpdA1ra2siNn39+nWMjY3B7XaLTq6nbbdFkz1lushpsGrhqlq0yjCkaVKHHGWDoVQqiZLjgUBAVAolwSgdh4wGylSxWCyiCWFvby/29vZEvZdMJiOOXS6XRf8TNjIYhjkuLclTo0lTrmUhF6GSi19ZLBZ0dHTAZrOJpmr5fB56vR7T09MYGBgQWSunMYZMLewLhYLYDZpMJuGSVodOTuN7YFqLWgxK1w6Jqal/jtVqhdfrFZoK+TqSi8DRGKQOyHt7e4jFYqhWq7DZbPD5fOjo6BDdgtXGCo9PhmGOQ0s8GuqeHfJkJk+iNKHRhEeGiclkgs/nw6VLlxAIBIRrtxX5/c1U+LJOo1KpIB6PI5VKoVwuw2QywWazwWazCVGnHH9nGDXyeFIXmiuVSigUCkIIarPZjhQok+FB3YOLxSKi0SgeP36MtbU1FAoFDA0NibRyMobVRbwYhmGOQ8sqgx61O2qWyWEwGERbeErPGxsbw8DAAOx2u4hhA2io2HnSqEWg6v+Bp0LQ3d1dRCIRFItFmM1muN1uIV6l0tHNqpgyDKWzynVfqO8NZaGQsJiqhFKTQurDQ4390uk0stmsKB4XDocxNzeHra0tpNNpmEwmjI+PY2hoCG63W1yb6o0Ap7gyDHMcWmpoAI2uYPk++jEajejt7UV3dzfa2tqg0+nQ1dWFqakptLe3w2KxPFfQ6E3QzKho9jctCpR5UiwWoShKQyaKnHrLBgejRp0yTV4G2SDXarUoFAqIxWIilCKXy1fXrymVStjc3MTDhw8Ri8VQqVRgt9sxOTmJrq6u58rqc2iPYZjXpWViUJqsKGXuqCJVZrMZg4ODGBoaQiAQQC6XQ19fHy5duiTU9q3cYb0sdKLRPK10Sur/dDqNVColdpZGo1EYSs3CRszbjZzOKouF5RLk+XweAFAsFhGPxxGPx5HL5WCz2VAul2EwGIQmg3rvJBIJzM/P44cffkAmk4Fer4fH48HExATa29tFQTw5/MJjkmGY16HlWSeyAJRSU2WtBe3EqKZGtVrF8PAw+vv7RQyZ1PGU3nfSHGVc0PnKUJloqloqt4yXO7cCeK57K8MAaMhYolLi9Xodh4eHWFtbw+rqKnK5nBB3UjM1EoUCz6p8HhwcYH19HQ8ePMDnn3+O2dlZFAoF+P1+DA8PIxAIwOl0igwu2biRa3Xw+GQY5lVpiaGhbnv9stLGWq0Ww8PD+Pu//3tcuXIFly5dQmdnp/ACqEMxb2oSlCdx+TYyntThHKPRCJfLhY6ODni9XtGcTS1m5UmcIdR1WGS9xezsLGZmZrC5uYlisQiDwYBwOIz/+Z//wdLSEvx+v6i2S4bG3t4eVlZWMD8/j2AwCIvFgnPnzuHChQv42c9+hq6uLlgsloZCYABE+IWNDIZhjkvLSpDThCV7L9RGgqxZGBoaQldXFwDAarXCarUKr4B69/U6jdL+FtTVQeXzJy8GAFgsFvh8Pvj9fqEv0Wg0ogaIuj8LczZ51YZ48vihXjoAkM/nEY1GMTMzg+3tbSiKApfLBY1Gg2Qyif/+7/9GIBBAX18fXC4XqtWquFai0SjC4TCSySTa2tpw+fJl3Lx5E9euXcPExAS8Xq8o9gU8S60ljyF3bmUY5ri0rHsr8HwIopmRQTs5CovIFTXlQkbUI+VNdjVt5kVRe2f0er0wLHQ6Hfb397G1tYW9vT34fD7h1ZCfy8ZGazlJzQ8ZDjSm1d1/6TFyuIQEnLK4WFEUGAwGvPvuu7h58yZ0Oh0ikQgikchzBqtOpxM9hbq6utDX14f29nYMDAxgZGQEY2Nj8Hq9IuVa7Vmja43HJMMwr0NLQifNPADNJjE5/596ONDkTJ4LeTKUXb2nBY1GI1Jz9Xo98vk8isUiisXic6m46uwC5uzRTPSsLlQHPPMkkMdL9gCazWb4fD5MT09Dq9XC4XBAo9EIIajBYEClUhGZJ/JrUB8hn88nftra2l7aBp49GQzDvC4tzTp5kfdBnhzV7dRpgaaMDZoET+NkSCmGZCxRmKeZV4eV/T9NjvudyQayulCdbBjQfYVCQfQ6AZ6G4CgMR54+EhKTISGfm3x+lO5qMBhYE8QwzBuhpVkn6gmu2e6e/lbXDqBiRc2OcZomzlKphN3dXYTDYWSzWRH+sdvt0Ov1YlE4jUYSc3LIRjbVq5C7F5M3Ania4k2PSyaTDWXsZYNVLjP+oswo4KnBQdfVaesPxDDM2aLl6a2EXJYcaNyJkRitVqvBarU29G5odozTNGmWSiUEg0FEIhEoigLgWcxb7u+iTvE9Te+B+XE5KkSmDnHQbaVSSWgnSNMj116hrqp6vV6ktMq6H7WnRBZLs4HLMMxJc6oMDXUfB6JWqyGRSIhiXbIXQC2kPG3GRqVSwcHBAVKplAj7AM8meFnMKmtPmLPLUWNT7dGj8Z3P51Gv12E2m2G1WsXjaLxUKhWh41CHI+XKu2qvIMMwzJvg1BgasphT3vGVy2VEIhE8evQI4WDFRRQAACAASURBVHAY//AP/wCPx9P0+fT7tBgZwFODwmaziZbcdrsdVqu1IWMGeNZO/jQZScybgWpcyLUq5I7EDocDiqIgmUyiUCigVqvBYDDA6XTCaDTCbDY31G+h9vDk9ThqXMlZXTzmGIY5KVpmaBwlglRrM0qlEkKhEB49eoStrS1MT0/DZDLBbrc3HOe0GRgETfRGoxEWiwUOhwMOhwM2m61pka7T+B6YF/M6xiF5GcjQpGZpsieD6l8oioKtrS2srKxgb28PBoMBfr8f09PTCAQC4lqg/jnNridZtyH/Pm1ZWgzDnD1a2iYeeDYBHiXspEl2bm4Oa2trWFtbg8/ng8PhaDjWad2VyTtMk8kEq9UqvBrqxljEaXwfzIs57oJdq9UaMkCMRmNDKESj0SCbzSIej+Pg4AB3797FN998g+XlZbhcLly6dAlerxcul0sYGpVKBYqiwGQyNT0/tWHBRgbDMG+CltbRkPUUzYyMarWKbDaL9fV1hEIhxONxrK2tiRbxzXZpp22RrlQqODw8RDQaRSaTEY2u5EmfijiRfoPafjM/DY67YMthDWpeVqvVUCgUEI1GkUwmYTabEQ6HMT8/jy+//BLLy8vY398XdVgODw9Fu3cKwRkMhqYiY/V5qq+303bNMAxztmh5HQ15sZULdFHzsXQ6jc3NTRweHiKXy2FzcxPRaLThOPLv04i6Fbws0FP3fQFO93th/jbkyqByiCSdTmN+fh7z8/PY3d1FZ2cnYrEYFhcX8d133yGRSIgiXIVCQXRspTFDXjNqKniUIS+LROX/GYZhToqWi0HVHgn6u1QqIZPJ4ODgAFtbW4jH46hWq9jd3UUsFhMt1uWUwNM4aWo0GhiNRlH3gHacR5VYZ04vR4W3jvJoNFvMqUYGFW2r1+vIZrPY3t7Gp59+im+++QbBYBDDw8MoFos4ODhAJBKBTqeDzWaDoigwm80wmUzC89Us40ptZMjGhtrTcRqvG4Zhzg4t796q3nHJk+D6+jq+/vprbGxsIJPJwGw2o1gsIh6P4/DwEB0dHaJuQLlcbmg8dZIcZ5GpVqvI5/MoFAqoVquw2+0ihk7uc6roSLtc5sUcN1TR7PtSL7ayxkdeqOXKnYqiiDoUcv8ROcuD9BXA04qeJASm9FJ1SnapVMLMzAy++OILfPbZZ9ja2kI+n0cmkxH3y8W7BgcHcf78edy4cQPt7e3CcDUYDCiVSiiVSqL76lFeC9l7xjAMc9K0TKNBkNFBfxMGgwGxWAxra2vI5XIinBKJRBAMBhEKheB2u38yKaFUWEkusMS7ypOHDAGgcYFttvjS4+Vx2KzQlWwcNsvckAuv0XPoO8/n85iZmUEmk4GiKEilUpidncWDBw+wsbGBdDotztloNMLpdGJqagperxcejweDg4MYHR3F6OgoOjo6YDAYxDWkNrJfNKZ4vDEM86ZoqaFBkzrtDOVOljqdDvl8HpFIBMDT3X+5XMbe3h5WV1exsrKCgYEB0VVS3mGepklUo9GIUtGVSgWFQgGKogijQ05pZE6GSqUCAA0lupuJj+lHrmche9+MRqN4LGWMkAhTFibLBbTouy4UCmL8/ud//qcwKhKJBDKZDHK5HMrlMiwWC/R6PRwOB5xOJ3p7e/HRRx9hcHAQPp8PgUAAHo9HpEerPSpcTpxhmNNGy3udUGlldSy5Vqshl8shkUiIsEO9XkehUMDKygpu376Nvr4+jI+Pw+PxiOfUarVTNdlqtVpYrVYR4iHXurohHMAFlE4C2UCg/2V9TDNBMn0v9H2R98lsNovvRm6MRx4OGnuKoiAcDmNjYwOxWAz5fB5arRaZTAbBYBBfffWVKElfqVRgs9nQ3t6OtrY2eL1e+P1+DA8PY2RkBP39/fB4PCIl2mg0NjREUxf6Oqo8P8MwTKt444aG7LmgSV0dOikWiwiHwwiFQkgmkyIFUKfToVqtIhwOY3Z2FleuXEFHRwfa29vF8yuVyqmaaPV6Pdrb2xsKjMmLglo/QLF85sdD7cE4KiNDrd+QvWtyCIYMkXK5jGKxiGQyif39fUQiEdRqNUSjUezs7GBtbQ2JRALlchlmsxnZbBaxWAyJRAJWqxXd3d3o7OxET08Penp64PV64Xa70dbWhkAggEAgAK/XC6B5l1e1Jum0jHmGYRiZlng05FQ8Wmxl7UIqlcKDBw+wsrIieoTo9XqYTCYUi0WkUilsbm5ifX0dk5OTDbtUeaeqphUTscFgQEdHB5xO55ELnnxuvFj8+MghOeCZ4dEsjEICTApD0E+tVkOpVBKPo06q4XAYq6urePLkCRYXF5HJZHB4eIhIJIJYLCZEym63W3irenp6MDQ0hLGxMUxPT2N0dBQ9PT0NIk65BDl5TKjyJwBhZMjGhmwgMQzDnBZaptGQFfvyjrJQKCAYDOKzzz7Do0ePkMlkAEDEuWmirdVqSKVSKBaLqNfrKBaL0Ol0MJvN4ljy69Ftb3oS1uv1YqdK50Y74WKxKEIozcqRM387pKegzAzZoJNFosAzj5rBYEC1WoWiKA0ppFQgi7QW9+/fx71797C2toZoNIpsNotcLie69JKnTafTIRAI4Ny5czh//jxGR0fR2dkJj8eDtrY22Gy2hpbvdE5ykz2tVivCJvJ7k5v0NdOeMAzDtJqWGBpy5ULa8dHOUVEUHBwciMJFVHOA4uVkLFQqFcRiMaTTaWGs0ISs7gJ71N9vAjpveVdNry9/DgAbGCdFs/Tpo/QwzcZHNptFJBLB4uIi4vG48Fo8efIET548QTQaFUZIrVaD1+vF0NAQrl27BofDAa1WC4fDgaGhIYyOjsLv98NmszXV6ajPWz4n+XFkZMhhFPX4YhiGOQ28cUNDTsMjdzBNkEajEYqiIBKJIBwOI5vNNng/6Pm0u4xEIohGo8jn80KFT5yW0Em1WhUt7mWDiPpbUPyfU11PBjkjSfaiqXVCZCRQIzMSgRaLRezu7mJ2dhaffvop1tbWRPG4eDyOeDwuFnedTgeXy4WLFy/iww8/xO9+9zsEAgHodDoUi0XR50ZtMKgNYfncybNB/8uow4VyVg3DMMxp4dRknRCRSASrq6siFCIXQSLPBsXLg8Eg5ufncf78eVy6dEk8Vm5U1upJl9rcUwlp0qbQ4kcemHK5DADi/laf91lCDo3Qoi1nZ5DxkcvlkE6nRUXOUCiEnZ0dbG5uYmNjQ2iGSMNRr9dFGqrJZILL5cL58+dx8+ZNvPPOO+jp6RHN82w2W1MtkSxcJg8fjXeDwdCgY6LHkDEhVxdlA4NhmNNKS7JO5HQ8mkgpJr65uYnZ2VkUCoWmBZHkEsuxWAxzc3Po7+/H4OAgTCbTc7U0Wm1sULMs8twAzzw5cr8TyjbhxeLHRz0WaExRXZNUKoX9/X3s7OwgFAohEokgHo8jGo0iHA7j8PAQ8Xgc6XRahPKoeNbIyAj8fj8cDgdcLhcGBgYwOjqKvr4+GAyGI0MjR9XzUIc/1OO32eNZSMwwzGmmJYYG6TJIoFer1VAsFkUcfHZ2FsVisUEMJxso9Nx8Po+lpSW43W68//77QnCp1micNM1CO/L7JQEriQpJDErnSUYG9zs5Psf9nuXPP5vNIhwOY2trCzMzM5ibm8PS0hK2t7dFmjRlSBkMhgbvxPDwMD788EN88MEH6Ovrg8vlgsViaSjeRcYkgIYU7aO0FOTFIMHny7JIONz2erxszLyOZqrVGxqGOc288VVNq9XCZDKJXT31aDg8PMQ333yD2dlZpFIpUWRJbqMNPFXwy5kAiUQCi4uLuHPnDiwWC8bHx0UIpVqtNmQayJOB3FH1uJ4E+Thqw0KOq1cqFSiKIgSE8qJlMpkaskxkN/5pm7Ca6V1exKucv/ozO2rRbHa7nJFBgk5Z96MW3tJt5MHY3t7GwsICfvjhB6yvr2Nvbw+ZTAbpdBqZTEYIOzUaDWw2GwYGBjA2NoZz586hq6tL1G4JBAKi3w555uRaHHJBL1kn8qphjpc97kX9TN4mXjQ+m+laaE5Rd7olzyptDOSibEcheyQp1PsiA/Ft/p6Yt5eWliAnwV06nRYVE5eWllAqlZ5L95MncNI6kCckkUhge3sbiUTiOTfyUZPQy+5/Ga9iEJAXhoweWuxkI4fO5TTpSv5W5P41R70XtXEBHN3J96jjyN8hebtkA6NeryOfz2N7exuxWAyxWAzBYBBbW1uiDsvBwYHIXJJFl263G36/H6Ojo5iensbU1BT6+vrg9XrhdDphNBob0k1fds7qGh4/Fj/1sfJj0GwsEc2uJzI+K5XKcxoY4Nl3VS6XRbdcuWAaHeMoo1Eex83u4++MedtoiaEhTwqFQgGJRALBYBD379/H9vZ2Q4VPvV4vdpjAs+ZkMpVKBfF4HNlstiEVUK3xkBdz4qRFdHKoh3ZTiqKIjpzq3fvL3OWnHQoFvcrOXTYUmmlxjnqOuokYGaxykStqYLa/v49vvvkGS0tLWFtbw+PHjxGLxYQxS6+r0+lgsVhgMplgMBgwODiIS5cu4datW7h69SqGh4efE23KHqif6vd1VniZsSGj1+tFzyE53AWgoYOyoigoFoui5LtaXyYbtj/la5ZhTpqW1tGgMEIymWzo2UDuR4px00JA7me1e1yr1WJnZweRSATFYlG0YVcXMaIFSN3N86QXCjksUi6XRetv9e5IFoX+lHmRF6JZKi/9yMakfAx1hcx8Pi8qxQLP+n2Q6zufz2N1dRVzc3N49OgRHjx4gP39fREaoc+e2r5bLBYMDQ3h0qVLuHDhArxeLzo6OhAIBNDd3Q232w0AopEaALH48OJyelB7KZt5zMhY0Gq1sNlsIpOtWq2Kxo3lchlGoxEmk0n0KKLnyKFXumblPjc/9WuXYU6ClmadkFERi8WwsbHRIJAknQXFPoFnbku5zLhGo0GpVMLu7i4ODw9FNUcADROAHI+VMzzexGIhT3xyTPd1wzY/BZoZb+r3rX5Ms/CCHAaRDQp5Qs/n84hGo0ilUkgkEkJUvLCwgJWVFUQiEZExYjQa0d7eDovFIiqzdnZ24ubNm/jZz36GyclJOBwO2Gw2WK3WhrLgcoiLQnfHbeLHhsmbR77+ZD0GfW/kYbTZbOJxsr6rVCo1bGpoDFOjRxoH8rzGMMwzWmJoUJ0AWkC2t7fx6NEj5HI5cdHShU1GgbwDlY9Vrz8tWx4OhxGJRJDJZGC1WqHValGpVISLXJ3NQcKtNzEpNNNkNJuQzsIkdZSXSG1kyZ9BM02Huhy7rG8xm82o158WbSuVSgiFQlhaWsL8/Dw2Njawvb2NnZ0d0TlVLubm8XgwPDyMrq4uJJNJ2Gw2DA4O4qOPPsKFCxcQCATEmFOH2mgM0bitVCoNGVTM6UNtZADPwiP0PZZKJRSLRWFUGgyGhg2JvDGh5zQzmGXPyE/9OmaYH5OWZJ3IHodsNotgMCiKdAEQRoXcsZUudlpkZG+FTqdDLpfD+vo6ZmZm8Itf/EII9mjXIWs+3mQFRXpt2u1QRVC51bfsnTkL7vgXvQfyYqnj20BjKjAdR666SY/VarXY3d3F0tISHj9+jLm5OaytrSESiSCbzYo+MhqNBna7HU6nU2Q4Xb16Fb/4xS9w+fJl6PV6WK1WOJ1OeDweGI1GFAqFhjAdnROdF6WfajSa575HpvU0Myzkv2ks0XdqNBphs9lEHyIyevV6vUiDbvYdyxoheo2f+nXLMCdFy7JOyMhYXl7G6uoqwuEwKpWKqIYopxjSRW0wGODxeFCpVJDL5YRhAjyNny8tLeHzzz+HzWbD+fPn0d7eDqPR+Fzsls6BDAD5MSeBrCmRDQ1ayM5aCOWoz1KdjtlMDCo/t1KpIJPJIJlMIplMIp/Po1AoIJfLYWtrC8vLy1hcXMTu7q4oC240GmG329Hf3w+/3w+/34/Ozk6RFj06OoqJiQlR4I2KapHrWy00Vp/riwSsTGt5WdaS+voHGrNISOBLWgv6kXsoyTV6ZI0G8MxLSsdkGOYpLQmdUMntZDKJx48fY3NzE6VSCUajEVarFQaDQdSdkHe5VqsVfX19on9IIpEA8GzS2Nrawqeffgq73Q6TySR2qfS66gWNhJmvki//t75fek3Si8gCUVmHclZp5kGi74J2l+S1ItFsLpfD5uamMEap9TpV60wkEiiVSqKYltvthtfrRSAQwMTEBM6fP49z586hr68Pdrv9OaNTXmwoBGI2m0Voj85bro8gP1/2tPFutnW8KFtJNjDUYQ/qAC03PbRarWLOIANDLhgoC9Yps6lQKAjvmdVqfXNvnGF+IrSkqZpavd3b24tbt27BYrGgq6sLPp8PpVIJtVoNsVgMf/7zn5HJZBAIBPDRRx9heHgYJpMJ4XAYqVQK8Xgcq6urWFtbQyaTwcrKCiYmJjA8PAyPx9MQW5djq7SjPWnXt3pHfBa0GC9D7a5W6zVo0iZxZzweRygUwt7eHqLRKGKxGA4ODhAMBhEMBpFMJsWCUCgUoNVq4XK54Pf7RSnwwcFBBAIB+Hw+uN1uIeo0m83CsKOwXKVSEfUR1DtdOROBMlTIG6UuwgWAQyct5mWeJbVxqdVqkU6nsbW1hTt37iCTycBut2NiYgJjY2Ow2+0N3zt5KeQKvuVyGTs7O1hdXcXu7i5cLhcuXLiA8fHxM39tM8xxaVkdDZ1OB4fDgYmJCfh8PtFEzePxwOPxAHjqOg8Gg1heXsbm5iZ0Oh06OzsxOTmJrq4uUTsjk8lgf38fi4uLCIVC6OvrQ3t7OwwGw3OFnGgnAzTqBU4KtWH1opoRR4UQfmqovUeysJM8GKVSCYqiIJ1OY3V1Faurq1hfX0coFEIikUAqlRJZJLlcDnq9Xmgp7HY7Ojo60Nvbi+HhYfT29qK7uxudnZ1wu93CK0bnov7e5V0qfdayISIbhep6CeodMtNajhO+ksWfoVAI9+/fxyeffIJEIgGn04nd3V3UajW4XK6Gyr3yWKawiqIoWF9fx9dff435+XkEAgHo9Xr09fUJUSnDME9pWXqrVquFx+PBz3/+cxFKoJ0qhRcURYHT6UR/fz8ODg5QLBahKAoMBgPa29vhdDrFQmI0GrG3t4fd3V3o9Xp0dXXB5XKJlt+0SKhTLOn5x100XuXxsr5E9uCoY710Hq2M+f+Yxo36vdBv8iZQl9R8Po9QKIQ//OEPePLkCXZ2doTnghZ2o9EIh8MBv9+P/v5+9Pf3o6+vD6Ojozh37hwGBwdhsVianoesjZFTUUlQLL+OHIOXU5+bhbTUxupxYQPl1XlVo+5lIRPg6calWCwimUxidnYW3377Le7du4dEIgGbzYZ4PI7Ozk5MTEygs7MTer2+QW8heyMVRcHa2hru3r2L7777Dn19fRgYGMD169cbWiTwd80wLQqdyKmmcglgs9nc4GYvFovIZDIitbFSqYisglqt1lDRT6PRoK2tDWazWSwm5O6m++n15IX/dcIYzbQG8m6ZfgwGAywWCxwOh1C102PkuC8teG8q5VbtbaAFuZkXoJnhIxtJchooHUfu+0BUq1Ukk0ksLCzg4cOHoqdNOp3G8vIyUqkUFEVpMAacTicmJiYwPT2NiYkJDA0NIRAIwGw2w2q1inj6UcaZbOTJGSx0nxxSkx8v33bUcdXpt8yPizoVWk4hlnUWNFbV45W6QZP4ulqtIhgMYnZ2Fvfu3cPMzAxWVlaQy+VgNBrh8XgwPj6O3t5e2Gw2aLVaUbxLnqNI+FmpVESWE/29v7+PWCwGr9crHktGB523vOGQ0215HDFnmZb2OpHV283SxcjAIK9EswVD3lnKWQR0f7O0tJO4qNUZJOoFTS70JL++XDjoTWk3mhkQstdBnhDV2gq6TS2KVIeHMpmMKPNMWULb29u4d+8e7t27h83NTWFYUD2L7u5uuFwu+Hw++Hw+tLW1YXx8HBcuXEBPTw/a29vhcDhe+TOSH9fsOerbjvPZ88JwMqi9RerQo3y7jFzcT/ZG1etP+91EIhHcvn0bf/nLXzA3N4f9/X2kUilUq1X09vbi8uXLeO+99zA6OgqTyYRyuQygMVOKjqcoimibkEwmATwtGndwcIBQKIT+/v7nKsc2u+aaXWMMcxZpeU/yZt4Bup0u1EKhgGq1CovFIsR9Wq1WCEbVxsqb8AjI5642nORFm3b5dJ/cNwFAQ1XJN6HPaCbSVBsOzbJg5N0XQe9P/XnkcjkEg0ERCikUCkgmk5ifn8eDBw+wtLQErVYLi8UCi8UCp9OJvr4+IcYbHx/H0NAQHA4H2tvb4Xa7z4x+hXk5ZLjK2WDqhVr2YFAYrFwuC48meUByuRwikQgePXqETz75BP/3f/8n5g2tVguHw4GLFy/iN7/5DX7961+LkEk+n4fJZILZbBbdXuk1s9ksQqEQNjY2kEwmhTh0f38fq6urmJqaEplvABo8M+rzZ5i3gZaJQY9a5NSGBu0iAIhaGrJ3gB77Jr0BsnFDyO50egxlLRQKBVEwzGKxwGw2N+2VIS/yJ/Ve5PNU3w48S+nTaDSiJ4s8KZJIjrI/AAhNTb1eRzQaxf/+7//i3r17WFlZQTabFZ8FCTwNBgN6enrg9/vR3d2Nc+fOYWBgAL29vfD7/fB6vXA4HNDr9Q3hMebsQx5A+TsnI0IOycmlwKnvDYX+AIjxubi4iPv37+P27dt4/PixCLtarVYEAgG8++67+PWvf42bN2+is7NTpLbabDaxaZBT0TUaDUKhEB48eIBQKCQKelUqFWxvb+P27du4cOECzGYzOjo6xLlQSJD+Z7Eo8zbRMo+GbGzIt6lFmlSlEUBDGEUWcdKPOsvhTb8f4HkPjZxOSeEds9ncIBhr9ryTPE+5FgC9NsWU5e+FPn/ZS1OpVJBMJrG/v4+trS3k83nU63UYDAaUy2WEw2H8v//3/7C0tIRwOIx6vQ6z2QybzQaHw4HBwUH09PRgbGwMnZ2d8Pl86O/vF+Jem80mPhuqnyI3wWOj4+yj9lao9UDNPIn0v0bzVPibyWQwNzeHr7/+Gt9++y3W19cRi8VgNpvh9XoxMjKCS5cu4ebNm7h48SK6urpEnRX1ZoL0GlRefGdnB7Ozs6hUKnA6nTCZTIjH40ilUlhaWsLDhw/h8XjgdrsbNkrq8CqdO49p5qzTUo8G0LzjolrfQDsVEocWi8Wm2SLqPhpv8n3I0OREseZyuSwWTXo/cmVQdWz5xzr3o4ScVJyKDA0yzORQlFwRkc6xXC4jm81iYWFB7BL39/dF2e58Pi+yScjAcLlc8Hq96OzsRH9/P6ampnD58mVRr6CZqJJer1QqifN7k71pmNYjCz41Gs1zokoZqvBLc0Imk8HGxgb++Mc/4i9/+QtmZ2dhsVhgMpnQ3d2NS5cu4f3338d7772HoaEhmEympseUS9FXKhWRFUdVaV0uFxwOB4xGo6j5s7e3h++//x4DAwMYHh5+LtVVvZnicCDzNtByjcarQhNPPp+HoigijiuLx4CTV3DLoQfZUFB7UshjQJknBoNBuHOLxaLwygBoWNx/LG+Metck06zkOk3m8mOp10MymUQ0GkUkEkEwGMTi4iJmZ2extLSETCYj3Mv0njweD8bGxnDhwgUMDw+jvb0dbW1t8Pv98Hg8cLlcsNlsIpOIwkjq3Spl6rBo7u1CnRUlbxwoS0tufEdGQalUwtLSEu7du4fbt2/jyZMnODw8RFtbGwYHBzE4OIixsTG8//776OnpQVtbm2i4WK1Wkc/nxSbAaDSKpn1kpFQqFaytrWFjYwOKouDWrVvw+XzIZDKIRCJIJpMolUpYXV1FMBhEJpMRhsZR4WH20jFvAy3NOgEaQyhqy57c/DSxAGiI0QLPUirf5G63WbhHvTOR3a5yGiYZGqVSCVar9UQmm6OMDPk8gWceINlbUK8/Lf+dTqeRSqVwcHCABw8eYGdnB4eHhzg4OBCdchOJBDSap2WbvV4vPB4POjo6MDw8jPHxcYyOjsLv94uJ2uVyNYSM5O9N/txodyoLUmW3M0/MZxv52pGLpJFWg0J/dJ9Op0M0GsX6+jq++uor3L17F7Ozs4jFYqLA382bNzE0NISenh5MTEyI2iuU3q3OnFJ3kCbB55MnTxAMBmGxWHDt2jX4/X4Eg0F8/vnnYi6KRqOIx+MoFAoNG5Cj5j2GOeu0zKPRLL6q/k2TC2kcTCaTyDoh8SEJDdV59qcBOg+j0SiK/9AuqVwuNwjNTkJX0iweTIYEQSI1ur1UKiGTyWBrawt7e3tYWVnBv//7vyMYDKJQKIjeMBQWcbvd6OzsxNjYGM6fP4/JyUlMTEyI3SIAKIoi6hHQ90rfmSzgk8+JJn46bzluz5Pz2Ud9PdD4JFGoyWQS106lUsHy8jI+/fRT/OlPf8LOzg4KhQIMBgPGxsbw29/+Fv/4j/8In8/33OJerVZFyJC8DzTv0PikjU4ymcT333+Pg4MDdHR0YHJyEh0dHeI6pvFZKBSE5xV4eZo1w5x1Wl5HQ51lIi+MVEdDUZSGmL/FYmkQbMl1KlpBM72JbCSl02lRYt3pdMLhcDTEbpvtdH5s5M+ZlPX0OlTC/dGjR9jY2MDOzg6CwSDS6TRyuRyi0ajYTdbrdbhcLoyMjOCXv/wlJicn0d/fD5vNJt6b3W4XO0BycVut1obdqSw8lY0IORavnqDftAaHaQ1yKqgcmqSux8Cz7suHh4f44osv8O233+KHH37Azs4OHA4HpqamMD09jcuXL2NqagoOh0OMMzIAyJNnMpnEJoA0VOSBpNc+ODjAzMwMZmZmoNfrMTU1hfb2drhcLnR2duLy5cvI5/MIBoOiIWA6nRbjnIxlLmPPvI20XKOhXljli5AEiGRoUBqbnCYmu1DJBapOjztJmu1WZDdvoVBANBpFPp+H0WiE1+uF2+0WlUvVmTInYWiodRd0PsViEYlEAuFwGFtbW/jhhx8QCoUQi8VE23WTyYTOUTBIkAAAIABJREFUzk4MDw/D4XDAZDLB6/ViYGAA77//PkZGRuD1ep8TkZJATxaVqrNa1N6rZp+rui03V1E826hF4XKtFhpHiqKIhnvz8/P47LPPsLi4iGg0Co/Hg8uXL+Pdd9/FpUuXRKE3MiZIlC2PLxqjFJ6Vq3bSmAsGg7h37x6CwSAuX76M6elpoTXq6urCxx9/jGw2i0gkAkVRkM1mRUEwdRYLvS/5fTLMWablhkYz5F0vpbTKi5ba/U6LNLn+KQf+TZ2r+m86NxJTxmIxFAoF0bqemjbJxtGP4dVQ613ohzwBlUoFiUQCP/zwAw4ODnB4eIjl5WWEQiHs7+9jb28P9XpdZMRQ8zLKFJmYmIDH44HJZILVakVPT49Q7JO3g+LZNFGTt6ler4ssEp1O95wglc5Rfi90O333py00xhyP19nFq3VFpVIJ0WgU9+/fx9dff427d+9icXER5XIZPp8P165dw+9+9zt8+OGHorEiGQsUwiPvGnkxKLuEskfomqTbq9Uq1tbWcOfOHeRyOfT09GBqago2mw0mkwl+vx+/+93vEAqFRGiFDPhisdjQi0cWkNN1wYYGc9ZpqaGh3qGqrX5qgkQLTK1WE8WuSAQmi0jfVClvtWsXaIwpazQaoVKnLrVmsxmKooj+HqVS6bmiXUd9DoRadCrfTx4EufIoGWiKoiAajWJtbQ2PHz/GX//6VyQSCZTLZcRiMRHWGRwcFOEPr9eLyclJUWPA7XbDbreL49MkTOejriQqV2ek96YO2ajV9+oUX/pO5ePIz2dODy8y/uhaluu3NGtW1+yYZAgYjUZUKhUsLCzg7t27+Otf/4qFhQXs7OxAURRMT0/jV7/6FX75y19idHQUbW1tDcJj8nTKYVZ5wadzpPOj95PP57G5uYmFhQUcHBxgamoKV65cQV9fH0wmkzBKjEYj/H4/hoaGkM1m8eTJE2g0GoyOjmJiYgI2m63BE0thmmaptS+Dxz/zU6PlHo2j9Bp0m9olT4YGgOfCDbQgnbRe4yjvg9odSiEUWvBlZL1Bs3Q32YhQizqbhRXo/mq1ikwmI4pqUZbI7u4uNjc3sb6+jpWVFRSLRWg0T6t/ut1uDA4O4tatW+ju7obb7YbL5cLg4KDQXxy1MBy1S21m7L1ocVF7hmTjiyfW002zhbJZ5hN9l7IXT67VIj9WNmDJG7GxsYGvvvpKhEoODw9Rq9UwPDyMd955Bx988AEuX74Ml8v1XONECk/SGKRr5yijh0IpqVQKX331FRYWFqDVajE2Noaenh7o9XpxDZHRbbPZ4Ha7YTAYEI/Hsba2hs3NTXR1dcHhcDQIonlcM28Tp8rQaHYf7TbI+pc1GoR6l9+Kc5ZDFABEfj/1+aDeCVartaGMt5xiKu/i5ePLdTrkGC/VoSDjqlqtIp1OY2dnB2tra5ifn8fMzAwWFhawu7sLRVGg1+thtVpht9vFpDc6Oop3330X//RP/4SRkRE4nc7n3gvDvA6y14AEloqiQFEU4amg22W9EnkhNBqN0GR8/fXX+NOf/oSvvvpKPM7n8+H999/HrVu3cP78ebjd7gZP21HIAlM5hCGH/0hs+sknn2B5eRlOpxMdHR2o1WoIhUIol8uiOzN5XAi6Hre3t3Hx4kUYDAbkcjnU63WYTKaGKqRscDBnnZZXBn3R7bIbkyYqo9H4XJfX04CsUFeLWWVDw263w2azNbRkB5737FAaLL1vdbt7jUYjioAdHBwgGo1id3cXP/zwAxYWFrC9vS3EnqlUCsViEZ2dnRgZGcHly5cxMDAAv98Pt9sNt9sNj8cDv98Pq9UqJnn16zHMcSGvnpyKSjog6rSs9lzS/5lMBgsLC5iZmcHjx4/x5MkTbG9vQ6vVoru7G0NDQ5icnMStW7dw4cIFdHR0iDRyMsBlL+fLxjBdr9QLhbwS29vb2Nvbw+HhIf7jP/4DX3zxBaxWKwCgra0NnZ2d8Pv9WFtbw/r6OrLZrMg8WV9fx+HhYdOQIHk7mxXQY5izRMt7nahvU4cIZIU2xeuPCim0EppI1FU+1SJG+ZzlLAx5FyaHiuj5tVoN2WwWiUQCiURC6DwymQxWVlZweHiIw8NDLCwsIB6PQ6PRoK+vDz09PQCeajioWNHVq1fR29sr2q7LpchlNzO9L54Emb+FZloc+l/u/kvXdrVaxcbGBh49eoQ7d+5gfn4em5ubiEQiMBqNGB4exs9//nNMTU1hYmICw8PD8Pl8DWnvsvZCHaqQs0pk5GtOo9Hg8PAQa2trSCaTMBqN6OjoQFtbm9Bb0DVJWrJSqYT29nZEo1Ghjdre3haiUJq/5LlPvuYZ5qzS8tDJi5CFji+7GJtpGE6KF4V5aIHWarUi3EONl6jMMRUgK5VKDXFiOcOCdntUUIhary8vL2N5eRnBYBDJZBLxeBxzc3Mol8vCBd3d3Y3JyUm899578Pv9MBqNKBaLcLvd6O7uxsDAgCjvDTwTksrxY1kQxzCvi6zDIC8cGQPUIBGACD1UKhVks1ncvn0b//Zv/4b79+8jm82KrJDBwUFcv34dv//973H+/Hl0dHQIA0E2MuRQo4zseQQahddyF+JqtYpwOIz19XXU63UMDg7i6tWrGB8fR0dHB2w2G0qlkvAmkth5YGAAlUoFq6urSKVS2N3dxc7OjqhSSpsGuaopGxnMWedUGRpHTQpywyR5MpHdkfT4Zsd5U6gLjmm1WphMJvh8PrhcLpRKJZFip9VqG3p5yIJO4KnaPRaLYX19HQsLC1hYWMDGxgZisZhoLCcfa2hoSCjcL1y4gNHRUVE/gFzW1HeF4s+ycVSr1UQMmSp/qkWZrwobKAxBxgXwzItJtXEoW4NCBysrK7h//z6+/PJLbG5u4uDgAADQ2dmJ3t5eXLt2DVevXsXFixfR19cHi8UiKtvKc4DaM6H2JNKYJ72InNqq0WhQLBaxvr4uUmevXr2Kd955Bzdv3kRXVxesVqvYGBQKBRQKBQCAwWBAPp9HIBDAn//8Z3z33XeIxWL4/vvv0dPTg9/+9rdoa2trmM/Y0GDeBlre60R9u3wfxVppAlCXGVc3XKLbW4X6tdUTHMWrZSMpn88LzwQZEBqNBrFYDDs7O1heXsba2hp2d3eRy+WEmDMQCMBqtcLhcMDv96O3txeDg4MYGRkRYRFZnEZpfXI2DIneaOKV9TDye2AxKPO3oNU+a7NOQmd53BWLRYRCIXz55Zf49NNP8eTJE9GC/eLFi5iYmMDU1BTOnz+PgYEBdHZ2CiODBKMv2oAAjXMOjWe5xwk9plqtIpvNYmlpCSsrK8hkMvjNb36D9957D5OTk7BYLOJYchsE8lJQOu7h4SHW19exvb2N5eVl3Lt3Dz//+c9FhVL5PBnmrNNyj0az1E6CDA0KLxgMhobdSzP9wJvaHag9ELJLVtZrlEolUcpbFnmSQbG7u4ulpSXMz89jf38f6XQalUoFe3t72N7exsHBAfR6PVwuF7q6usTPwMAAent70dvbi/7+flEETI5zFwoFMbnb7Xbx2dDkRiETEpselc3DMH8L9XpdeDGokzEVwsrlctjf38eXX36J//qv/8LXX38Nl8uF9vZ2DA4O4oMPPsCvfvUrXL16FcDTonxkQJPmgQyOF3k51cZzM8jzl0gksLq6ikgkAovFIkImTqdTdF6m48tFvQDAZDJhcnISCwsL6OrqQigUwu7uLmZnZ3FwcIBAIACHw8FGBvNW0VJDQ1abN/NMUMyWdh3kZm1WYvxNhk1ephVR19FIp9MoFArQaDTY2dnBvXv3AACFQgEbGxtYWFjA2toaMpkMarWaaFFdr9dx4cIFXLt2DTdu3MDAwIDIWKFCYE6nU+yyqBopfZZ0u7osOBXdktvC086wVYYbc3ap1WrCuCARZTqdxtLSEh4+fIiHDx9icXERe3t7/5+9M32KKs3S+JPLvbmSCSK7KwgWooIoKiq4YLu0dlVPx0x0xXyeT/M3Tcx8mJiO7p7qnp6unrK0XEtxRQRFFBQ3UFmENMn1Lpk5HyrO65vXxC5Ske38IgjIS+bN/b7PPctzUFVVhY6ODrS0tKChoQHl5eUoKSnJ2pfcuUJCQ26NJeQprwSJfeBdalPuYotGo8I1d8WKFdiwYQNKS0tFKlE2/SIBJddZkcgpLCxEZWUlXC4XwuEw3rx5g7t376KkpARffPFFVk0JCw5mqbMgIhq56gCoIItCrgCyWuKsVdtygdV8kmuhJnGkaRpGR0dx48YNvH79GrFYDJOTkwiFQkilUigpKUF5eTmCwSDcbjd8Ph/WrVuHhoYG1NfXo6SkRBTTGYYhojzWIji5uE2utKfHQ6+V3OmSq9h2vl9LZulAQ/aoOPLJkye4e/cuent78fjxY+i6jqqqKjQ1NeHYsWPYsmULqqqqsuYYyY608nddLsDOFc2Qhb/1eENCRdd12Gw2jIyM4M6dO+jr64PT6URNTQ0CgYCo4TAMQxyDZMFCEUxq5fX7/aioqIDb7cbbt28RCoVw48YNlJeXo7S0FIFAICuFwt81Zikzr+2t1hoG6/9o1olsHCXXachOnLIt+Od47DMhH8QoalBUVAS/3y98Lfr6+sTB1ePxoKSkBFu3bsWuXbuwfft2lJWVIRAIwOfzZU15JeisCsieBUIHQ0I2PqLZDbKxkPw68gGPmS0zfQ+s22lBjUQi6O7uxqVLl3D9+nU8ffoUkUgETqdTTAP+5S9/iaamJvj9flFsCUAUbMqffTktYnX3zFVbRMcVuTiV6ioSiYSwOL9w4QJu3bqFqqoq1NfXi6gHtbHS46EaJ7LWTyQSoo1VUZSsmUbT09O4du0aKisrsX79etTV1WXNQGGYpcy8CA1ZONCZhjxOGXh3BhSLxUT+Vdd1RKNRaJqWNdMjV/HXXEGP1drOCkA8TgCikt5a+W6z2bBhwwZs3boVbrcbZWVlImpRUlIiRsjTAdV6ALUePK3P29r5Ym0vpEiHzKdus2OxsvQh8Qq8G7cOQJwYUN0CdTuFw2E8evQIly5dwtWrV4UN/qpVq9DU1IQTJ05g8+bNYoYIfVdcLheADzsI50JOmVhruqjzxTRNcV9v377FpUuXcOrUKVy/fh2xWAwTExOiTXXlypWw2WzCQ4MilfLxi+7n9evX6O3tRVdXl0iHptNpjI6O4t69e1i3bh2KiopExIO/L8xSZ95rNGbyv7DZbEJYyC6VuVIE8tnL5zC/kdMRchRAFgH0uAzDQDgcRiKRgKIoqKqqQltbGw4fPgyPx4PCwkKUlJSIMDHVUMymrfTvpTyskQpOkTD5IqcZ5HZzILsdnS5rmoZHjx7h7t276Orqws2bN/H06VNMT0/D7/djy5YtOHnyJNra2lBSUvJezcTPGb42Ex/6nFvbXYGfWsrtdjtKS0tFZ8uKFSvE86R0o+yBYd2XaZp4+fIlJiYmkMlkUFNTgzVr1ojaEJ/PB03ToOv6Z43CMsx8Mm/trbm6NKxfOgppUmrAWogF5G4hncsvr5zXpYMqndFZIwWmaSIWi2FsbAzT09MoKirCtm3bcPToUfzqV78CkD3HhAyMchW7MsxCIJ1OZ83tociGdWigpmmw2WwIh8P44Ycf8Je//AXXrl0TEQSv14vVq1dj7969OH78OILB4HvRuLlEjnhQYXVNTQ1SqRSqq6vFd7q0tFS0pOZqp5f3R7Ukb968gcPhwMaNG9HU1CRmG4XDYQSDQVRVVYnaqs9xYsQw8828RTRyhTOBd+kHp9OJgoIClJSUZOVDaRGWz6Tm6/FT7pmwRjjoucij7UmMyPMfAAijLOtIdIZZSNCinE6nRQoT+OmzLg8LzGQyuH37Ns6fP48LFy7g2bNnUFUVhmFg9erV2LZtG44dO4bt27eLKIY8o2SuFl+5cFp+Tn6/X/h0UEs41XOsWLEiyzV3Jux2OwKBAPbt24empiZompYVoUkmk3A4HPB4PCguLua0CbNsmNfUiTU9QAcaihJ4PB4Eg0E4nU7R7il3T5DgmM/HbjXBAt6ZEVFXiMfjEVMiqbhT1/WsDhq5qn4+BRTDfAib7SenT2o91zQNwLtppclkEm/fvsXQ0BDOnTuHs2fP4tGjR0gkEnC5XCgvL8euXbtw+PBh7N+/H8XFxfMSwbNGRZ1OJ1asWCE6u+j5WCcrWx+nta2eniPVp8hREDnySicc9L1nwcEsZRaMM6ic36U+eZoVQj3nhmGI6YrWL/Bsaho+5fOggxDlroHsCnmPxwO32y3SPtQqR/33dD0KPXM0g1kofEjE03cyEonA7XbD6/WKNOHDhw/xt7/9DdevX8fg4KBoCS0uLsbu3btx4sQJHDx4UBRYyjVYc23JLRdHk6CXO7es7sMUXZ3peykff3I9bk3TxH7px1oAT10rDLNUmff2VtlenCIAFGqcnp7G2NiYyAFrmiac+Wbaz1wLDfm+rGcidGYmn6GR06Cu6ygpKcHatWtRXl4On8/33pkOu3AyCwWr660VimgUFBSI1GYymURnZyf+8pe/oK+vD+Pj40ilUvB4PFi7di127NiBr7/+GvX19fD7/aLWQ1EUMbPnc0Y3rFEGWvxJgNAJz98TAtYiU8MwALwzBLP6e9Bt5uPkiGHmg3nvOqHQJJB9RkMtaJqmZRVe0oFAjmJ8TldQK9bpj3LtRiwWQygUQjweF2FUqteQC8GsbbAMM5/MJDLk7xl9VykaNzU1hWvXruH8+fO4ceMGpqen4XQ6UV5ejrVr16KlpQXt7e3YsWMHgsGgML+i/X7O77D1/qxFnvR7NhOMc4kI6w+Q7VljvR3DLFXmNaIBvO8DQcgHMrosTzu0dp18zrMgua3N6lgIQBxEQ6EQxsbGRLqHDH+SyaRob5P9MlhoMAsJa5RNFsaKooh0YTgcxsDAAH73u9/h+vXrePPmDYLBICoqKlBdXY3du3cLW3FKM5LBHKVD5c//XH6Xc3W75UqLyMZes0Eu+M71POg4AGQ7mbLgYJYyn11oWA2v5G1ysSct3BS2VFUVgUBA2HPLi7J1X5+7TkN+boRpmmKAGv3PMAzE43FxYKUCUXmapFx8xjALBVnY0+dX13U8ffoU586dw5kzZ9DT04PJyUkUFBRg37592Lt3L7Zt24aqqiqsWLFCpEpocaUCb9lWfK6RI4h0WU6HUsSBxJBsdjeb+6DoqzVaabPZxDHtQ7UdDLOUmLdi0JnqE2QToHg8junpaaRSKbjdbgSDQRQUFAhbX2uthOxJMZdfXmvo03qwAiAKQf1+f1YEhK5DUYxUKiU6UPigwywGbDYbJicn8ezZM1y+fBnnzp3DzZs3oes6ysrKsHHjRhw+fBi7du3Cxo0b4Xa7s1pK5UGJciRjvk4SZD8cayqTmO1jo+cj7ydXETtHMJnlwGcXGtbUQy7TLjn18Pr1a5imCVVV4ff7s2ocZLMsYq6/uPSYKRKRyx3Q4XDA7XaLdjm5dsOaZtE0DZqmIRAIZI29ngkWIsxc8/cKlO12O54+fYrvv/8ef/7zn/H8+XPouo7S0lLs2rULHR0daG9vR1VVFXw+n/CloP1S6pA+8+TJQTNC5vI7bE13AtlCI9fcFDo5mI3YkOtY5BMR+X8Ms1yY9+mtVCQp963TF1tVVXi9XmQyGUxPT2N8fDzLKVQeCibbAn+O9jhCDilbRz5rmoZoNJp10Ha73VmhU5fLBVVVReGZ9WDGByQmH+QIAn1X5AXc+rmSjfJoYdR1/b2WT8MwMDExgUuXLuFPf/oTXrx4gUAggJqaGuzevRutra1obGxEIBAQg8jks3qbzSa+A/KsInluyFx/f60OvvT8ZoqE5pPSyVVgSjUfctqGv9/McmDeajSsBx/5C0f/U1VVpEl0XUcsFkMikYCu68K5bz4W5VwdL7meB+Vp5euQGRDd1hpKpf0wTD7Q9wtA1mcq1/Xk1nCC6i+sC69pmnjx4gUGBgbw5MkT/Pjjj3j58iUqKyvR2NiInTt3orm5GXV1dSgrKxPzUHItptYoJPB5/WOsj2cu7jvX82aPHGa5Mi9CwzCMrG4LWeFTUZjcNiovzOSlIfenf84vsBy5yCWUrMLHWqSaqzZFThuxyGA+BrlYUx7OB2QLD0pZUtqCjOPi8TgURRFRB6ohikQiuHTpEr755hsMDg6K2T2HDx9GR0cHdu7cieLi4qzUB/licB0Cwyxv5qVGg8KkALKqswGIavaxsTF0d3fjxo0bSKfTCAQCKCwshN/vh8fjySqepAMZRQ/m2vQnVxTF2k1D9swUfaFIhixQ+ADMzAXWSAJ9L2QxSwLYKtZJ/FPq5P79+7h16xbu37+P58+fY2xsDFNTU6iursaBAwfw61//GrW1tQgGgzAMQ9Q6kOCY69klDMMsfOa1GDRXHlkuGItEIpienoZhGCLHSQdJaxHm54oGzBQOljtK6ABrmibS6TQURRFnjLlqSDiSwXwq6PtltdFOpVLvRTgIq/19KpVCPB4Xratnz57FixcvEI/HxZDA+vp6tLW1oaGhAYWFhUilUkgkEgAgopKGYcA0TZH+ZBhmeTLvxaDAuxSDPCGRJhyWlpZicHBQLNo0Sl0uqCShYc37zhVyqsZaDErPR/YDoYJP6wRIOWUk74sPyky+yEWHssiQxbgsilOpFGKxGFwuFzwejxiMNjo6inPnzuHbb7/F1atXRYuqqqqor6/Htm3bsHXrVni9XmFCRVETeaKr/F1lGGZ5Mi81GnKniZxGoe1OpxMrV67Enj174PF4RCi2trYWPp8vK5oBzF9EwFqvIbevKooiDMYoT00HXjoo53rsn9tLgFm60GdSVVXxuZIHF9L/yeslnU4jkUjg4sWL+P7773Hnzh2MjIzAbrdD0zSsW7cOW7duxe7du7Fr1y4UFRUJG3FFUd4z3VJVNav4mWGY5cm8Tm+1plHo4EdTW9esWQNVVYVdd2VlJYLBYFYrKO1Hjix87uJQWRzIOXBVVcVBngQG5bF5PDQzV1i/C3IUI5f9tsPhwOTkJEZGRvDkyROcPXsWFy9exMuXL2G321FcXIzy8nK0tLRgz5492Lx5M1avXg2fzyfcPem7TB44sqMm1yIxzPJmXmo06AyfDlDWEG86nYbL5YLb7cbatWtRVlYm5gPQ1FOrC6jV/Gu+Ixz0XKk1V9d1kbOmNJB8HfqbYT6Wmcyh5BkbLpcLAERXycDAAM6fP4+bN2/iwYMHePXqFQCgsLAQGzZswOHDh9He3o7Gxkb4/f4sLwr5c09i2uVysZU+wzAA5rFGg4SFfGbldrsBvAv5yqKDHATJvpgObBSalSvpP+fBzZr2oMdIZkUUwSABRB0oclTGGhFhmI+B2sOpAwR4l7IkV1qbzYY3b97g+fPn6O3tRWdnJ27duoWJiQmkUimsWrUKLS0taGlpwebNm1FYWIiKigp4PB5EIhG43W54vd6sAWJUHyK3qHPXCcMw814MKntK0GXrNgBZVr5ya958FFLKoWn5eeQSOnLhp6IocLlcQhzJI+/57I/5lFgjfMC7z2g6nUY0GsWDBw/Q2dmJ69ev4/79+3j58iVcLhdqa2vR3NyMgwcPorGxEWvWrIFpmllW+gDe238uIzvuqGIYZt6EhhyFoDN/WnAp1yvPPrG27QHZMwhkg6+5JpfQACCq7elxkCkZFbhSOkj2+ZDbe+m2DPNz+JC4tgp1uT1c0zS8ePECly9fxv/+7/9iYGAA8XgcHo8H69atw+HDh3HixAk0NDSgoKBAREWo4ysQCADIjkrSdzPXNq7RYJjlzbwJDfngKJ/Ny8WU1m1WZNExH5XtcnqHijuBd2d2pmkimUwikUiIFAodrGkcPO3DOuiJWbrMtPB+SGRaZ5FQhwhFyuQUCQlb+mzJrafRaBRDQ0P44x//iKtXr+LJkyeIx+Ooq6vD3r17cfDgQWzatAmrVq2C1+sFkD2PSPbisLr6yt/bXFE9hmGWJ/OaOsnVfWL9n/Xvv7evz4UcIraeWZL4ePv2LV69eoVkMimKQMktVF40rO6ozNIml9CY6b0nESrfxlrfRNtoP/IME4fDAcMwEI1G8fLlSzx58gQ9PT04e/YsJiYmEAgEUFdXhx07dqCtrQ179uzBypUrRU2UfL8fSg3Kl/lzzDCMzLzXaCxG5MiF9YAvV/iPjY1haGgImqaJaAaNyLYW6skuqczy4kMLM833IXdZACI65na7RdSC3HPpM0Uzgah48+nTpzh9+jQ6Oztx7949hMNhrFq1Ctu2bcPhw4dRX1+PVatWoaioSKQzqS5jJkdRhmGYnwMLjTyhs0a56l6ObMhD40iIkJGX1YqcOlDY2Gj58XPM2uRCaOq6koejkYilz1Y6ncb4+DgGBgbQ39+P+/fv49GjRwiFQnA4HKirq8Pq1auF8VZpaamYIUS+L/TZlj+nJIa5cJlhmNnAQiNP6GAs+3jIdRYUQqYDstPphNvtFgdzyrPL8MF7efAhEyur2KAohfx5kdMl9BlzOBxIpVIIhUJ4/Pgxenp60N3djYGBAQwNDSEUCqGyshJNTU3Yvn07NmzYgPr6eqxfvz5LOMif61zbGYZhZgsLjTyQ/S/kbTScyup2SmeHXq8XBQUF4qyRrk+3txbBMkuXv5cukeuXFEUR0QS5GFTXdREls9vtmJ6extDQEH7/+9/j4sWLePDggfjsrVy5Ejt37sSJEydw8OBBrFixAoZhIB6PZ40BoEJSuTPKagDGMAwzG1ho5IHcUkuiQp7bQjnz8fFxDA8PQ9d1+Hw+lJaWory8HMFgUPhoyIZlLDKWB9Z0SS6srakfEqGapmF0dBS9vb24evUqrly5ghcvXoi6jZKSEjQ0NKCjowNbtmxBQUEBgHfzSaz25LKwkB14c3WUMAzD/D1YaORJrgOuXCRK0Nmp2+1GIBBAYWEh3G73ex03XJ/BzIQcQTMMI2tGSTQaxevXr3Hr1i1cv34dXV1dePxaXJlpAAAgAElEQVT4MaLRKBwOByorK9HY2IjW1lY0NTWhqqoKLpfrPUMteQQA3ac1hcMig2GYfGChkSdypwkhH7wVRUFhYSHKysqESRdNs6QoiBzNYJYnVidNwtrOSr81TYOqqsKWf3x8HNevX8c333yD3t5eMaPE4XCgsLAQu3btwqFDh7Bnzx6sXr1aeGOQRX4qlYKqqqLwk6IgcpSNJwozDPMxsNCYJdaW1lx5bOCn6EZpaSmqq6vhdDoRiUQwNjaG169fo6ysDCtWrBBnkHK9h7UIj1keyAWiVtEhC1Oqx9B1HW/evEF3d7eoxwiFQkIctLS0oKOjA3v37sWGDRtQWloKj8cjXHfj8TgcDkdWfYZshS9H3Ai5UJRhGObnwkIjD+QwsrVzRF4sqNPEZrMhmUzi7du3mJycRCwWE34FfNBmZHJFNsiZkwaiJRIJTExMoKurCxcvXkRXVxcmJiaQTqdRVFSEdevWoaOjAydOnEBdXZ2wESdHWrnmg2zDgezPtVX4sPBlGCZfWGjMEtkUSe4coe2yJXk0GsXbt2/FtmQyiXg8LvLsZIRkjWgwDEFW46qqimjD5OQk7ty5gz/+8Y/o6urCyMgIPB4PioqKsHr1anz11Vfo6OhAc3MzFEURYiUej8PlcsHj8YgUyofs7+VoG4tihmHyhYVGHsi1GBSKph857Pzy5Uv09fUhkUhgxYoVqKurw5YtW1BZWZklVmhfJEj4gL50kSMU1HlEKThqV5Xbo+WZOLFYDL29vbh27RquXr2K7u5uTE1Nobi4GO3t7WhqasKmTZtQV1eHiooKIXyBn9IvXq8355CzmVJ18nU5osEwTL6w0Jgl1kmxsrCQz/wymQySySRCoRAMw4DX64Xb7YbP5xPujYRcWMqmSEsfedGWvVcoFWeNcCmKglAohKGhIXz33Xe4ceMGHj16BMMwUF1djfr6ehw9ehRbt27F2rVrUVBQIBxr5fukbdbP2IeELQsMhmE+FhYaeWCNOlinVtL/FEURoetEIoFQKIRQKIRYLJZ14LcKF2bpYn3fSVTYbDaoqipmlNAsE5fLBZvNhsePH+Nvf/sb/vSnP+Hly5dQVRVbtmzBwYMHceDAAWzduhV+v58nADMMs+BgoZEH1qp8ee6EXHNhGAZM03xPgJD7IqVdmOUJiQ76rNAAM0p5xGIxvHz5Eg8fPsSpU6fwww8/4PXr11i7di127NiBAwcOYMuWLaiurkYgEBCfPRasDMMsJFho5MFMB3H57DSVSokqfwp/k48GLSa8ICxf5CLLVColBGcqlUIymUQsFsOTJ09w9+5d3Lx5Ezdu3MDw8DAqKyuxd+9eHDlyBM3NzSgtLYXX6+ViYoZhFiwsNGZJrhSH1WtAtnMGIPwKqNpfHrudy6+AWRp8qN5GHpAm1/jEYjGMjY3h+fPnuHz5Mi5cuIDe3l4kk0mUlpZi//79+PLLL3Ho0CF4vV6YpglN05BOp4WRF9f5MAyzkGChMUvkQj05bZKrct/r9cLr9YozVhqAZbPZYBhG1iA1ayshC4/FjdWGnkin0zAMI+uzQNcxTRP9/f04f/48urq6MDQ0hNevXyOZTKKhoQHt7e3Yv38/Nm3alGVjD0A4hbLnBcMwCw0WGp8IqyU5FffRpFYaukbOjsC7olLZ/IvbWxc/M4kM+W9yhXU6ndA0DVNTU3jy5AnOnz+P8+fPi9Hu6XQaVVVVaG1txbFjx7Bp0yaUlJSIglKq8yCRkUqlsiavMgzDzDcsNGbJh7pDPjRxU1EUeDweITbI1Mu6Lw57Lx3k6BddpgF78Xgc8Xgcbrcbb9++xcOHD/Gf//mfuHr1Kp4/f45AICCcZVtbW4WduM/ny+oqIYFht9uRTCZFKzV3njAMs1BgoZEHuYQG1WZYDY7kSIa1roO2zVTvwSwd5M4kSp1kMhlcuXIF165dw82bN/HgwQNMTEzAbrfD4/Fg06ZN2LJlC06ePInNmzfD4/FkGcMB7yIjLpdLDEfjiBjDMAsJFhp5kCsCkauok9oVqSYjkUhA0zSYppk1Gl5uSeRFYmlDVvRv377F06dPcerUKVy7dg0PHz5ELBZDMBhEbW0tGhoasHXrVjQ2NmL79u0oKCgQ+6DPGAlbFqoMwyxkWGh8BHI7K9mRW4WGy+WCYRiIxWKYnp5GNBqFpmlwuVxZFs88S2JpIadN5N+pVAqRSAR37tzBuXPn8O2332J0dFTYktfW1uLIkSM4fvw46urqUFxcDABIJBLQdR1+v19EQwzDgKIool6DfFvI5IthGGYhwELjI6CDPUUn5DNNTdPw6tUrPHnyBJqmobKyEuvXr0dhYaGwIJfTJnSZxcbCgISCaZoAkPM9zuVdYbPZYJomUqlU1m0SiQQAYGxsDP/+7/+O27dv48mTJ3jz5g0KCwuxdu1abNu2Da2trWhubkZVVRW8Xi90XRceLHJahIpAZUFhfYwMwzALARYaeWAdtU1trpQvJxRFgdvtht1uh9vtRkFBgVgwrCkXOe/OzB9UawPM7HFChbzWQk/qIrGmMkh4jo2Nobe3F2fPnsWjR49gmiZKSkqwefNm7Ny5E7t27coaiCYjD1sjrKKURSrDMAsRFhqzRI5iOJ1OqKoK4F3uPZPJwOFwwO12Y+3atdi0aRNu376dJUTkqa8Ei4yFQSaTga7ror6G3l/5/xTpoG4PAFleKVZ7edM0EYvF0N3dje+++05EuUpLS7F7924cPXoU+/fvR2VlJex2OwzDQCqVynn/DMMwiw0WGrNENtayQrlyeex3IpEQi1csFoOmaWI0OO3POr2VRcfCgkQERStoVo11gq8864a6Q16/fo2+vj789a9/RV9fHyYmJrBhwwZs2rQJ27ZtQ1NTE9asWYMVK1aIzxS5e5JA8Xg8HK1gGGbRwkJjlljTJXIxqGyilE6nEY1GMTk5CdM0hdCgyZxy+gRAljsoC435g95H2VQtlUqJmgs5nUIFvLLJmq7rMAwD8Xgc4+Pj6O7uxuXLl3H+/HmEw2GUlpbi4MGD2L17NxoaGrBq1SooiiI+I9T2TPfNQ/cYhlnssNCYJeT4KU9opXA5CQ3aPjk5iZGREWialhXRoM4AudaDjboWBvJCT1EFSpPIpFIpcX2KUNlsNkQiEUQiEYyOjqKzs1O0rzocDlRUVKC5uRlff/016urq4Ha7AfwkTnRdF23PBDnLMgzDLGZYaOSBXMhJIXTZ04DOdmmQmtwpIMORi4WJNdJEtvFy0S/VcZAYoSms4XAYFy9exA8//IDBwUGEQiGUlpaisrISHR0dOHr0KNasWQMAiEajohbD7XaLmg9KvXAXEsMwSwEWGnmQy2ArV92G3W4XLYfkqUEj4oFsocFRjYWF3LpqbUOmgl/6n91ux9TUFF6+fImBgQFcvHgRly5dwuTkJCoqKrBlyxa0traivb0dTU1NIpoFQBQGW1NpsnDl2SUMwyxmWGjMEjrblBcgq0Cg66RSKXG26/F44Pf74fF43iskZBYeJBytJmy0+Hs8HvHe22w2PHv2DGfPnsW1a9fQ39+PiYkJAMDatWvR0dGBf/7nf0YwGBRpNFVV4ff737s/4J3Fva7rSKVS7803YRiGWUyw0Jgl1mJQ65kp8G6eRTgcRigUQiqVEguL2+3OGdGwejcw84f83srvqa7rIpVis9mgaRomJyfR19eHM2fO4OLFi3j16hUSiQTKysqwY8cOHD9+HB0dHcKojYSL7Aorv+fyVFc5ncIwDLNYYaGRBz9n1kk6nRadBNRl4na7RTTDGgWRoyTM/CJHpOS0Bb1HmUxGOL/29/fj9OnTuHbtGh48eABd11FSUoL6+nocPXoU7e3t2LBhAwzDyDL0km3J5U6jmUzCGIZhFissNPKAFgFaIHItFnTmSx0qAMTZrDX9QnCNxvwjiwyr+ye9f6ZpIhQK4e7duzhz5gz++te/Ynx8HJlMBqqqYt26ddi7dy8OHTqEtWvXIpVKIRaLweVywev1AsiOmsiTfuWaH/Lv4M4ThmEWMyw0PpJUKvXB7gASHIZhIBKJZF0/11kr+2h8WuSuEDkNIs8jyTUjhIaVGYYBwzDE7cfHx/Hw4UOcPXsWd+7cweDgIKampuD3+1FVVYVt27Zhz5492L17NyorK+FwOMT9yyKCkDuSrEJTnvDLMAyzWGGh8ZFYizrlIlB58JZhGEgmk2JbrvHeLDDmBjkCRb9zvd70nsmRJ/l/4XAY169fx9mzZ9HZ2Ynh4WEkEgmUlpaitrYWW7duxZ49e7B582asXbs2S0SoqiqiIbKo+dB7zgXDDMMsBVhofARUAGoVGXQWTKFvEh40CXQmC3NeVD491B5KrzmlrBRFyTLmoroLwzBQUFAg3jO32w2bzYZwOIze3l78/ve/xzfffAPgp6jHypUrsWfPHrS3t6O1tRV1dXVwuVwwDAOJRAIulwsejwfAO2MuHuPOMMxygoXGJ8AapaAJrSUlJSgrK8PQ0JAQHHRduaMB4OK/uSRXFIneA7mN1eVyicgDmXLZbDYMDAygs7MTZ86cQU9PDzweDzZs2ICmpiY0NjZiw4YNqK6uxqpVq4SIIG8MOfUxk8BkGIZZyrDQyINc48HlBYtC4z6fDz6fL8s51DqUjY26Ph9yxMj6Xlhnitjtdui6jocPH+LHH3/E+fPncfv2baiqiqamJuzevRu7d+9GY2MjgsEgfD4f3G63iJg4HA7hKCqbb1l9ORiGYZY6LDRmidwpIOfZc/1tHYo1k6BgsTG3WAsqrcPwqGCUWlB9Ph9UVUUymcQf//hHnDt3Dg8fPoTdbkdbWxtOnjyJPXv2YP369SguLgaQXYPjcrnEjxzJcjgcWV1IDMMwywEWGnmQy4KcSKVS0DQNsVgMw8PDeP78OTRNy+o04VqMzwe1icpdH9S6CkB0nVAtB71/AwMDuHz5Mi5fvoyRkREEAgFs374dX375JQ4dOiTSIrLwJIMtSonJgsaaRmEYhlkusNDIg5kMu+RIhq7riEajiEQiwt1RFhq86Hw+yA/DWp8hd3+QuVo4HMbAwABu3ryJq1evYnh4GMFgEF988QWOHDmC3bt3Y926dYjFYln+FrKQofsAwO83wzDLHhYas0S2Gqdx8LRNzs2rqiqKC62RDI5mfD6sdRj0N71X1HIaiUTw5s0bDA4O4ne/+x3u3buHiYkJqKqKXbt24cSJE2hra0NhYSFM00RhYaEQD9Y5JLl8MhiGYZYrLDQ+AnkRk1MjDocDbrcbXq83a0w83Ub+TbD4mBtsNltWG6ucRjEMA2NjY3j69Cl6enrw8OFDPHr0CENDQ3A4HNi0aROOHTuG5uZm1NXVYeXKlWJfAEQLs8vlEnUeZAJG81DofuVZNvxeMwyznGChkQdyWFw2ZQIgfDSSySTi8Tji8bgI3c8kMpi5RS7epS6QeDyO58+f486dO+jq6kJ/fz9evHiBUCgEr9eL+vp6tLW14fjx41i1ahW8Xq+os5AHogEQ9R4E28ozDMO8g4XGLJGL/+x2+3tzKEzTRDQaxfj4OIaHh/Hy5UtompblEkr7YeaedDqNZDIJRVHE5NxIJIKRkRF89913+Nvf/obr168jk8nA7XZj5cqVaGxsxJdffoljx46hvLwchmGIWSW0D/JLSafT0DQNTqcTLpdL3K81iiFP/GUYhllOsNCYJfKIb3kgFuX95Smt9ONwOKDrOiKRiKjpsNvtSCaT4jrWltnlxGwXX7nolhZ5SmmQoCMfDF3XoaqqmDkSj8dx584dXLp0CRcvXsTz589FlKOsrAwtLS34+uuvsWXLFhQWFgIAnE4nvF6vEBjy+w5AmHxZH6OcMuOprAzDLFdYaOSBdWJrrloN4N0CSpEPt9ud1elgNe6ibbwYfRiruRalLuh1p6FpZPlOAi6RSGBwcBCXL1/GmTNn8OjRI4TDYTidTgSDQWzbtg2/+MUv0NraipUrV2bddiajrQ91lPD7yDAMw0Ljo8i1kNAiZxgGNE0TNtbFxcVYs2YN3G63uC3ZVVuFBy9QMyNPY3U6nfB4PKIeRlVVEV2IRqNwuVzw+XzQNA0AEIvFcPnyZZw+fRqdnZ3idfb7/di0aROOHz+OX//61ygoKJgxGsGRCYZhmNnBQiNPKJJhXXhyneGm02n4/X6UlpZCURThGCpPCc0VGWHeh6ILZKxFaRFVVYXlNxXfAj9FO6anp3Hv3j1cvXoVp0+fxuDgoBiIVldXh8bGRrS2tmLz5s3weDw5zbVYYDAMw+QHC41PgCwWqCuBWhwdDgcymUxWsSDZUlv9F2hfzIeR54ekUinhvCkX3KqqikQigdHRUfT29qKzsxM3btzA8+fPoaoq6urqUFdXh127dmHnzp2oq6tDMBiEy+V6L03C7wnDMEz+sNDIE7lV1RpSp0mg9BOJRKDrOjRNg2ma79UY5NoHMzPkjUEOrCTuotGo8DApKCjA2NgYOjs78V//9V94+PAhEokEVq9ejdWrV6Ompga7d+9Gc3MzampqoOu6EIcMwzDMp4OFRp5YUx60jX6T4KCz41gshsnJSaTTaTidP73suW7HfBjZdEv2xrDb7fB6vUilUohEInj16hVOnz6N7777DkNDQ/D5fNi2bRtOnjyJmpoarFixAoFAQAxFo33SfRD8njAMw3wcLDQ+gpmMmagGg35sNhsMw0AikRCtlwBE2N9a78F8GHlWiVznkkqlMDo6iqGhIdy8eRM//vgjBgcHUVZWhoaGBuzevRuHDx9GZWUlXC4XDMMQ7wW1LMuCg2EYhvl4WGjkiVVk0MJHi5Wu60gmkyIkT/+bSVhYoxvMzMivEdXAaJqGUCiE27dv49SpU/j222+RSCSwfv16fPXVV9i/fz+2bNmCQCAgIkpktkY1NOTqKvti/ByPD37PGIZhZoaFxkcgCwfZRIomgSaTSSSTSZimiYKCApSVlYlFDnj/LJoXrL+P3NVjmibC4TCePXuGwcFBPHr0CD09Pejr60MqlcKRI0fwD//wD9i6dSvKysrgcrmybjs9PS1qOkhokCdHrveCXT0ZhmFmDwuNPMi14MjhdtlLgwZvUXsrLWhUq0HpFQ7Xzw7DMBAKhdDT04Nbt26hp6cHz58/Rzgcht1ux65du3D8+HEcPXoURUVFWVGkVCoF0zSzCnrJayNXJxDDMAyTPyw08uBDk1etEzupy8Tn86GkpETYkVMUgyIaTqeTIxo/A3pdo9Eonj59iv/5n//BpUuXMDAwAADYtGkT2tvb8dVXX2Hr1q0oLS19b3IqCcDCwkI4HA4YhoGpqSn4fD4Eg8EZ75vfH4ZhmNnDQiMPZDEhpz1oQVMURfyoqgpd1zEyMoLu7m6sX78eJSUlIoVCHhBL0YI813h063OTnT7lqI782lKUQdd1hMNhDA0N4d69e+jq6sKVK1fw6tUreDweVFdXo729HR0dHaivr0dRUVFWQS4JRKqZocficDhQVFSUldZiGIZhPg18ZM0DebGkhdThcGRNdZV/22w2xONxhEIhaJomig+t/hlLAXnY3Ex1DvKiT6+f/FsWbrQ/wzAwPDyMBw8eoLu7G729vejv78erV69QUFCA6upq7Ny5E3v27EFjYyNKSkqgqmpWeoSQ3xfqAvJ4PHP90jAMwyxLWGh8QuTF0zRNUYuRTqfh9XqxYsUKZDIZGIYBAFl25HQ2v9hFRyaTga7rYqKqteaBLNZJRJDoogLadDoNRVGEEKNal0gkgkuXLuEvf/kL+vr68ObNG2iaBrfbjcbGRvzyl79EW1sbVq1aBb/fL2oxZrISZxiGYT4PLDTywGroRIuXfKZMIoO6GsrLy1FdXS1srnNNcLXOQFmMyJEcIpeLKtWnyK3B5MqZSqWQTCbhcDjw9u1bDAwM4NSpU+ju7sbjx49FPcWGDRuwdetW7N27F7t378aaNWvg9/vFSHjr3JjF+poyDMMsZlhozJKZFi/rAkuDvWjIl6Iooo1ypgVvqbRPyiZaspCaaX6ILEAo0mGaJiKRCB48eIBLly7h1KlTGBkZQSqVyhqGtnPnTtTX12P16tViIBo9BgBZ/iW57pthGIaZW1ho5IFcR2CNaADvChkJMpOamJhAMpkUEQ3rXI2lkD6h4lYSGJQmoueby+iMTLdoIiuJhcePH+PMmTP4v//7Pzx9+hTJZBIrVqxAW1sbDh8+jNbWVqxZsyYr9ZLJZETqhZALUuXHyTAMw8w9LDQ+AqtRFwmFdDqNeDyORCIhQviRSATj4+NiIQTwnjnUUlr85JSIHO0hUyy5cBZ4lzZyuVx4/vw57ty5g/Pnz6OrqwsjIyMwTRPNzc04cOAA2tra8MUXX6CiokKIGgDCkIsiI/IclFzdPEvp9WYYhlmosNDIA+uZMYX75bRJLBZDIpFAKpWCqqpIp9NIJBIA3tlmm6YpLgPv0jJLybyLFnp5HolpmlkijdJMhmFgfHwcnZ2dOHPmDG7fvo2pqSl4PB6sX78ehw8fxokTJ1BbW4vCwkJRTEuvGaWl5HQNwaKCYRhmfmChMUvks3C6DLyLaNCCGY1GEY/HkU6nEQwG4fP5PjhDgyIA1HWx2BdGml5r9RyhNAZFH0iAKYqCZDKJCxcu4A9/+APOnTsHm82G8vJy1NfXo6OjA4cPH8b27duz3D1N0xQdLjO9Zov9tWQYhlnMsNDIg1ymU/J2EhuUJpienhbD1YCfRImcPqBoiNVIajEjRxbodaDnSPUTmqYhmUwiFothcHAQt2/fxsWLF/H48WMEg0F88cUXaGtrQ1tbG9avX4+VK1cikUjA6XTC4XCI9lkSfrquZ72OQHZKi2EYhvn8sNDIg1xdDHKdhWxIBfy0oCqKgmAwKIy95AgIneXT7Rc7svAiUUU265Q2ikajmJiYwKtXr/Ds2TP09vaip6cHg4OD8Hq9aG1txb59+7Bv3z40NjbC4/GIfdF9UMqEXm/5NZVf26VmisYwDLOYYKGRBx9q16Qzavqh9EBRURFWrVoFl8slFkCXyyWMvWSvicUc1ZCtwwFk1a84nU7Y7XYkk0mMjo6ip6cHV69exffff483b94IodDW1oZ/+qd/Qnt7O4LBoIgQOZ1OuFwuAD9FL3RdFx0mVAtirQlhGIZh5hcWGnmQq9PEOveEPDNoodU0DbFYTLhZUr2GdV8LUWTIUQFrNCdXxCLX7ZPJJMLhMKampjA8PIze3l50dXXh7t27ePXqFVavXo2mpiZs374djY2N2LhxI9xut7g/er3keSVylwlts9bALMTXk2EYZjnBQiMP5AFq8sIrm3kpiiJECEU3ZL8NCu3TZbo97X+hYG1TBSDqS6y1DxSZkee/AEA8HsfLly/x4MEDPH36FM+fP8fg4CCeP3+OUCiE8vJybNu2DQcPHsT+/ftRWVkJj8cDwzBEhIciQ7Igs94/240zDMMsPFhofCKsNRryZUVRUFBQgKKiIrjdbrFoGoYhihrtdrvoopC7UxYCcrsozTLRdR2qqkJVVTGploo7U6kU3G63EBqTk5O4ffs2/u3f/g0PHz5EOBxGJpNBUVERqqurcfDgQWzfvh2bN29GVVUVPB5PzoFzXHPBMAyz+GChkQe5cv+5zKDoDNswDOi6Ls7QaeiaNYKxELsjqOaEfD+o1kK2Gacx75TOAIBEIoHh4WHcunUL3d3d6OnpwdDQEDKZDMrLy1FUVIQdO3Zgz5492LRpEyorK1FcXAxVVbPuO1ehLcMwDLN4YKHxicm1KJK1djweh2EY742TlwXHQqwpoHktZBdO7amyL4YsrHRdx7Nnz3Dr1i2cPXsW9+7dw/DwMHRdx7p161BfX49169ahtbUVLS0tWLlypZhTkms+ykzzZBiGYZiFDwuNT0iu9An9aJqGSCSCeDwOn88nzvypkJIiBAsxqgFk15/I7aRyKoPSP5OTk+js7MSf/vQn9Pb2ilSJ3+/H1q1b8dVXX2Hz5s1YvXo1ioqKcqZHcjmk5modZhiGYRY2LDTmGIfDAb/fj8LCQgSDQXg8nveGqcnDxT4Hs12oKWpBFt/kyimPtE8kEhgZGcHDhw9x48YNdHd349mzZ1BVFRUVFSgvL8ehQ4ewd+9eNDQ0ZKVYaMgcCRnrcDmryGEYhmEWDyw05gB5Ibfb7fB6vQgEAggEAmJRpbN2q+kUsLC6JaxzQ+SuEkqpxONxPH/+HF1dXbh27Rpu376NSCQCr9eL5uZmlJSUoKqqCocOHUJNTQ0KCwuhaZrYp7XAU/5bvr+F9LowDMMwPw8WGp+QXK2uAKAoCnw+HwoKCrJGopP3BNU8yO2bC2VRpWJQ6oihyxSRCIVCePbsGX744QecPn0aN27cgGmaWLt2LVpaWvCv//qvqK6uhsvlEs/dMAx4vd6s10K+P2sqZakNmmMYhllOsNDIg1x1AnL7J/2m7pLp6WmEw2FEo1FhcEVdJ/J+5DP6uebnpk+s5lwkNGjSKrl7dnZ24vHjxygoKMChQ4fQ1NSELVu2YP369SgoKBC+F9Yx8X+vo4Tuz/pYGIZhmMUBC405Qh4oFo/HEQ6HEQ6HkUwmRa2DnDJZiCLDel1a8BOJBKampnD37l1cvHgRV65cwdDQEFRVRUNDA06ePInGxkZUVFQgEAjkNCezpoo+JDTkx2J1JmUYhmEWNiw0PhFyJEOuKyCDq+npabx58wbT09Pwer3weDxZ1ycW2iIqO4NSEevo6Cju3LmD7777Dp2dnRgYGBAi49ixYzh48CDKy8tF4ShFMDKZTNZIdzl99HOeN0WDfu71GYZhmPmHhUaeWCMQ1NopL4B2ux1OpxOpVArhcBjj4+OiJoOu+yk6KT4UobDuO1cHB420tw6Ck9E0DdPT0+jv78etW7dw69Yt9Pf349WrV1BVFbW1tdi3bx/a29tRUFAg7osiN7k6SSgt8nOfP0WAuPuEYRhm8cBCI09y1WnIY8pp8SYnTdquqrnBTLgAACAASURBVKoYFS+nAebKWnumVIPVNEy+vnXMu6ZpePHiBfr6+nDlyhXcuXMHjx8/xvT0NPx+P2pra9HW1oa9e/eirq5OTKglZirknO1zZYHBMAyz+GCh8RFYF2ginU4jGo0iHo8jnU7D5/OhpKQEFRUVYq4JRQ1koUFiZC7EhozD4YCu6zBNEy6XS6QzAIjuEjm9EYlE8OOPP+IPf/gDenp6MD09DZvNBo/Hg4aGBhw5cgQnT54Uc0pkYcHCgGEYZnnDQiMPckUf7HZ71ihzwzAA/NTamslk4PV6UVxcLFpZrchpgdmSj1smpXVkoUPpHLvdjlgshpGREQwMDOD27dvo6enB8PAwEokEPB4PqqqqcPDgQezbtw/Nzc1CZMimY7nmv8z0P4ZhGGZpwkJjlljHplvnlND/dV0X/g/pdBoulwvBYBAAsgpFgY8TGcRsxYZ8n7LtNxWvPnv2DNevX8fly5dx9+5dTExMQNd1VFRUYMOGDWhubkZHRwfq6+tRUVEhPDEWoukYwzAMM3+w0MgDOeVhLaykaEYymYRpmgB+KrYk0y7TNMV4+EwmIyIAn8KQSn4MM2G1+abnk8lkxKj38fFxdHZ24s9//jMuXLgg/l9cXIz29nb89re/xS9+8QvY7XYYhgFN0+DxeEQXidViXX5s1r8ZhmGYpQ0LjVlCxZ1yBEFe2A3DQCKREDUapmlCVVX4/X4EAgG43e732jOt/hAfuxBbBYfVQlzTNNHxIXeE6LqOe/fu4dKlS/j+++/R39+PdDoNVVXR0tKCjo4OtLW1YcOGDUIsySkYujyTqGCBwTAMs/xgoZEHtDDncgelWgdy/yTfB1VVoSiK6EABkJW2IOa6EDSTycA0TSEKKFUSiUQwOjqKK1eu4LvvvsPt27fhdDqxceNGlJeX4xe/+AWOHTuG2tpa4Qxqt9vFflKplLhs9QZhGIZhli8sND4xNpsNiqKIbg4ilUqJAlHgXQrjc7ldWg3FKAKRTqcxNTWFR48e4dq1azh16hQ6OzuRTqexa9cuHDlyBDt37sTGjRtFLQZNbVVVVTy3ZDIJRVHgdrvF62B9XRiGYZjlBwuNPKEBaFYvCkVR4PV6UVhYCJ/PB7vdDl3XEQ6HEQqFUFJSIvwpVFV9b4LrXC/IlPqhqMTY2Bhu3LiBS5cuoaurC8+ePYPf78fGjRvR0dGBQ4cOobq6GoWFhaKrRt4X8FO7rNvtRiqVQiKRgKqq7xl0MQzDMMsTFhp5QikPilrQZZvNBlVV4fV6RWsrzTuZnp4WDpypVCrLrvxz2mo7nU5kMhnEYjE8efIEN27cwIULF/DkyRP4fD5s2rQJBw8eRHt7OxoaGsRQNCpeJUFERaLyPuVJrAzDMAzDQuMTQnUKwLsBZJRmME0TmqblnPL6uYeF2e12JJNJvHnzBv39/ejt7cXg4CBM00RTUxN++ctf4tixY6ipqUEgEICmadB1Pavgk2o9SFi4XC4RoWEYhmEYgoVGnsjjy+Vt5KQ5ODiI8fFxkarw+/0IBoNCUDidzqyx6/LodBIrlJ6R728mMUKW55S2ICFAKRn6O5VK4fXr13jw4AG6urpw4cIFDA0NoaysDCdPnsS+ffuwdetWlJeXw+v1CiMy2aSMxASJDnp87KHBMAzDWGGhkSfWRZe2ZTIZJJNJjI+PIxKJiP9R5wkJCurOkO3Ic2FdvK0RA7mglIzCqAYDgEjRmKaJeDyOiYkJdHd34/bt27hz5w4GBwdRWFiI5uZm/OM//iO2bNmClStXvhedsYoq4NN4fzAMwzBLGxYacwy1j2qaJlIQVFRJ0QbZy0Im1wJPUQ6rSKEaj7dv38LtdqOgoACKoiAWi4kCzSdPnuDKlSs4e/Ysnj17hlgshtLSUhw7dgxfffUVNm/eDI/HkzWF9nOmdBiGYZilBwuNOcbpdKK0tBQVFRUoKSmB3++H2+3O8tCwigcqMLX6a6TTaRGhsA4uo9QKFW6SS+fw8DDu3bsn6jBGR0fh9Xpx/PhxNDQ0wOfzobq6GjU1NWJWCe2b0jEul4ujFwzDMExesNCYY5xOJ4LBIIqKilBQUCCcQWWjLuvf9PvnFonK6RWXywVN0xAOh/Hq1St0dXXhypUruHbtGl6/fg1VVXHo0CG0trbi8OHDcDqdopBThkeyMwzDMJ8CFhqfAaqZsEYh5Mu5fDQo6iEXnpJhlvx/XdezrMAjkQgePXqE06dP49KlS7hz5w4SiQQymQwKCgpQWVmJ8vJyFBYWCpEij6mn+yQ3U4ZhGIbJFxYacwwNWdN1HYZhZE1KBbIFhzyyHcgtPih9IosNEhimaSISiaCzsxNnzpzBrVu38OLFCyQSCaRSKWzZsgWHDh3Cl19+ifXr1yOZTMLlcmXtX06XyEKHYRiGYfKBhcYcQ0LBuljLkQO5c0Q2/pI9K+Qx7lacTiemp6fx6tUr9PX14ezZs7h48SJevHiBVCoFv9+PNWvWoKOjA8ePH0dzczNUVYVhGKJ1leafyHUhn9vfg2EYhll6sNCYY2w2G7xeL7xeryiqJHGRSqWEyJAdNU3ThKIo4rokBKgtVnYRpd/Dw8M4e/Ys/uM//gPPnj1DMpmEYRjw+/2oqanBv/zLv2DXrl1Yt26dGOlO+4/FYojFYvB6vXC73VnRDIZhGIb5GFhofAZM04RhGDBNM2vxlu285XqNXOPW5UmpmUwGiUQCoVAIw8PDuHr1Kvr7+zE0NIRQKIQNGzZg48aNqKmpwYoVK1BcXIzNmzejsrISPp9P3AcJFo/HA6fTKWpJyI/DbrdzjQbDMAzzUbDQmGMoWkF1FdZuEhIZVgFC0G3kaauxWAzPnj1Df38/uru7cf78eYTDYXi9XjQ1NaGxsRHbtm3Dxo0bEQwG4XK5xERZEi8kZAzDgMPhEP4Z1D5L6RtOnTAMwzAfAwuNz0CuhZoWc9luXBYUtMibpgngnQunrusYGxvD+fPn8e233+Lq1atIp9Oor6/HgQMH8PXXX2PDhg0oKCiAYRhQFEW0rlJRqtvtht1uh2maiEajcLlccLvdiMfjwvzL6/WKx8WtrgzDMEy+sND4SORiTms3ibydkOeEULSDCjHldAndhqIYmqYhkUhgcHAQN27cwLfffov+/n6oqoqWlha0tbVh7969YhAauYqSQKF6EHnUu8PhgM/nE9fzeDxZjqPy82ChwTAMw+QDC42PYKa0gnVxtjp+5ho+JgsM2i/VZYTDYYyMjODRo0fo7u5GV1cX+vr64HA4sHnzZhw5cgR79+5FfX09AoEAgJ+EhdPpFBblNJ6eHgPdp8vlEpetpl3Wx8gwDMMws4WFRp6Qbbh89k+LujzHRI4euFwuEaGg2giHwwFFUUS9hK7rwseCRMGLFy/www8/4L//+78xNDSERCKBwsJCtLS04ODBgzh06BDWrFmDYDAIm80GTdNgGEZWhIQ7SBiGYZj5gIVGnsgLuBzZoLoKXdfFcDKPxyMKMeUaDGpd1XUdwLtJqy6XS/hi9Pf34+bNm7h16xaePHmCaDQKj8eD2tpa7N+/H8eOHUN5ebnoJiFTMDltIs9UYRiGYZjPCQuNPMnVLSJ7YlBkgrYD79IiViMu2dMCAKanpzEwMCDmlNy/fx/Dw8MwTRPFxcWora3FgQMH0Nrairq6OhFFITEhixkA79WPMAzDMMzngoVGnpDQkK3AaXGXp6xmMhkkk0nE43FomvaeaRd5VVCaJBKJoK+vD+fOncOFCxfQ39+PSCQCm80Gn8+HlpYWfPnllzh06BBKS0tF9IRSOPQ45AmwHMlgGIZh5gsWGh+JtSBU9s2gLg+32w2/3w+/3w+HwyHmiVAHiN1uh67rGB0dxf379/HNN9+gr68PIyMjiMViCAQCWLt2LXbv3o29e/dix44dKCkpgaqqyGQyWfshSFxQhENV1Sx/DoZhGIb5HLDQ+EhkAy6apJpMJpFIJETbqmxBDkDYiVNKIx6P49WrV7hz5w4uX76Mc+fOYWJiAjabDYFAAA0NDWhtbcXBgwdRX1+PioqKrPoLa+GpnELJ1QHDnSQMwzDM54KFRh5Yiz/pxzRNxONxhEIhTE5OIhKJwOFwwO/3w+VyieuRiZbNZsP09DRevHiBs2fP4tSpU7h69SqSySTS6TT8fj/q6+vxm9/8Br/61a9QXl6elXrJ1SYrPyarAKFIizwrhWEYhmHmEhYaeUKLvLzom6aJZDIphpTpug5FUfD27VuMjY1hdHQUPp8PHo8HDocD0WgU9+7dw7Vr13Dx4kUMDAwgkUjAZrNhy5Yt2LlzJxobG9Hc3IyioiIhVjRNE+PhqU7EKi7kzhZC9tNgocEwDMN8DlhozBJ5Doj8I0c55NQFAITDYUxPTyOZTIrJqYlEAo8fP0ZnZyfOnj2L+/fvIxKJoKCgAJWVldi/fz+OHj2KmpoaFBcXw+12i0JTEjnyPBJ5hLzcOmsVROzyyTAMw3xOWGjkAbWjUkQBeOey6Xa74fF44PP5xLwQXdfhcDgQDAbh9/thGAZGR0dx6dIlfP/99+js7EQqlUIgEMD69etx8uRJdHR0oLm5GW63+70pr9RRQvbliqK8N6iNIiy0jTpbOJrBMAzDfE5YaOSBPPQMgJjMKjuEOp1O8f/y8nKUlZXB6/VC0zTcvXsXP/74Iy5evIhHjx7B6XSivr4eO3bswK5du9DY2Ig1a9aIegwA70Ur6HHI/hvy/yi1YvXOYJHBMAzDfE5YaMwSqn+QF3A5beFwOERLK9mNe71eGIaBV69e4c2bNyKS8fDhQwDAF198gcOHD2Pfvn1oamrCypUrxdwRa8GnnKKxCgsrcrsrwzAMw8wHLDTywLr4UyrDZrPB7XajoKBApEni8Tii0Sj6+voQjUYxNDSE69evo6enB6lUCi0tLTh58iR++9vfory8XMw+ITgCwTAMwyxmWGjkgVyAaY00kP04/USjUTx69AiRSASFhYUYHx9HIpFAXV0dtm/fjj179mDnzp2oqKiAoijCtpzuh2EYhmEWMyw0PgGyzbdhGEgkEsJynOzHQ6EQFEVBPB5HdXU1mpub8Zvf/AZbt25FRUWFSMfIxaUECw6GYRhmscJC4yORB6PRXJNoNIpoNApN04QAoQhHJpNBZWUlWlpa0NLSgsLCQjG91eVyweVyZc1PIVhsMAzDMIsRFhqfALnbxOFwiB9ZHBQVFaGyshI1NTU4cOAA2tvbUVRUBLvdLuaekFAh11CruGCxwTAMwyw2WGh8BLJvhTw9Vf6hWScbN25ES0sLtm/fjqamJtTW1sLpdAqnTkVRxLA1gEUFwzAMszRgoZEn1mJQeTv5atBk1fXr1+PQoUM4efIkamtr4fV6YbPZkEwmheeGbKole2MwDMMwzGKGhcZHQPUZ1sFq9JNOp6EoCsrKylBTU4Pa2loEAgGYpglN07KmuZLDp6IoLDIYhmGYJQM7On0CZpofQlGK0tJSlJWVobCwUHhuAICiKKKWQxYsDMMwDLNU4IjGR0C1GbLIUBRFzDshh9DS0lK43W7oui46SxRFEcWjJD7kyAhHNRiGYZilAAuNPJGjGFST4XQ6Raury+XK6iQxTTPLI0O2Mbe2sbLIYBiGYZYKLDRmiTwm3m63i+JP6hbRNA3xeBy6rsM0TTidTuGnYR0rT/v70LwShmEYhlnMcI3GLMlkMkJEAO/EQTqdRjKZxNu3bzE+Po6XL1/i7du3ME0zS2B8aL8MwzAMs9TgiMYsofHr8mRUqrEwTVPUZ8jXdTqd7xl4UVRD3sa1GQzDMMxSg4XGLCHxIKdQqLsEALxeLwKBgCgSJTMuh8PxXuEoiwqGYRhmqcOpkzygdlRy8qS0B7mABgKBrGJPimpw6oRhGIZZbrDQ+AhkF1AAouPENE1RIErdKJQ6kQUFd5gwDMMwSx0WGnkie2iQgMhkMqLrhCIdlFZxOBzithy9YBiGYZYLXKORJzREDXiXSslkMojH46LbxOFwQFVVqKoqhAYXfDIMwzDLCRYas4RqMwCIcfAAxJyT6elpTE5OIpVKiaiHtUvFSi5PDYZhGIZZCnDqJA8+NJdE0zREIhFRtwFAdJzIFuMMwzAMsxzgiMYssdvtcLvdALLbU+12O1RVhc1mEy6h1ALLY98ZhmGY5QpHNPKARAOlSyh6IQsKEhmGYSAejyORSIiUi+wmytENhmEYZinDQiMP5JoKEgu5bMYpTZJOp9+7HqdRGIZhmOUAp07ywJoykbfLYoNcRP1+P3w+n0itMAzDMMxygSMaH4lVWFCnCXWkOJ1OeL1euFwuFhkMwzDMsoOFxkeQK10ib6PWVquPhjVtwmPiGYZhmKUKp07yYCa/i1z24tbrWes6GIZhGGYpwxGNPMlVxGkt/Mz1fzmKwYWhDMMwzFKHIxp5QNEIufuEfstmXtbUCCGLDFloMAzDMMxSg4XGJ4SiGdZ2VnIGpb9nui25h3JKhWEYhlkqcOrkI8hVxClHNYjZOIOyyGAYhmGWEhzRyANrlwlh7Six1mNYkcUIp04YhmGYpQhHNPIgl3fGh5AjHLnqORiGYRhmqcJCIw+sAiGdTotBarquIxaLiZoLp9MJp9MJm80mZqJQtEOeefL3RskzDMMwzGKEV7ZZkisSQdtocquu6+IyuYRau1SsRZ92u52FBsMwDLPk4JVtlpB4yNWy6nQ6oSiKiGAQZEfO4+IZhmGY5QYXg+bBh+oyaL4J/d9ut0NRFBHVAN437qLfM/luMAzDMMxihSMaeZBLCMiCgbwy5HknVv8Mq115ru0MwzAMs9hhofGJsNZskOCQi0Fnur68jV1CGYZhmKUEC41PAIkD6j5JpVLIZDIimvFzRAbDMAzDLEVYaORBrqgDbZOFBqVOrNflGgyGYRhmucBCIw9mikjI01tlcm3LVZcx02h5hmEYhlmssNCYJVaHT+CdQCDPDPLDSKfTMAwDuq4LQy/5+lZYZDAMwzBLDRYas2QmgUCGW+SZQeZdhmHAMAyRTrHu5++NlGcYhmGYxQwLjY9AFgdkxkUFoACE0DBNE6lUimebMAzDMMsONuzKAzLXooJPKgBVFAVTU1MYGRmBzWZDMBhEWVkZ1q9fj+Li4ixnUGuahCMaDMMwzFKEIxqfADn9EYvFEAqFkMlkoCgKPB4PCgsL4Xa7c0YzSHCwfwbDMAyzFGGhMUuohRWAKPp0Op1wuVxwOBzweDzw+XwwDAOhUAijo6N4/fo1wuEwDMMQnSmmaYpOFDL34qFqDMMwzFKDV7Y8oFqLTCbzXqGny+WC3+8XUYpUKoV4PA5d17PSJiQqrI6iHNVgGIZhlhJco5EnJApM0xQRCfqtKIroQHE6nSJyQeKCTLw+JDK4VoNhGIZZCrDQyAO5qFM24nI4HEilUkJ8uFwueL1eeDweqKqaNcE1ly05FZcyDMMwzFKBhUYeyA6eqqpmbUsmkwiHwzBNUwxUc7vdcDgcME3zvc4T4F0qhp1BGYZhmKUG12jMEmt9haIocDqdIh0SjUYRCoVgmiYcDgdcLhd8Ph8URcmyKJcdRjllwjAMwyxVOKKRB7J3hqqqWVNbI5EI3r59i3Q6LVpbA4EAvF4vbDbbezNPCE6bMAzDMEsRFhp5Ikck0uk0EokEQqEQJicnoWkaHA4H3G63SJvM1GmSy4qcBQfDMAyzVODUSZ5Y6ylM08TExITwyyDS6TR0XYdpmshkMlliI1ddBtuUMwzDMEsJFhp5kMlkROuqzWaD0+mEoiiIx+PQNA2ZTAaapiESiWBqagqTk5OIxWJCQKRSKTHRNZ1Oi7ZY2jfDMAzDLBVYaOSBPBaeLquqipKSEqxcuRI+n0/UcaTTaeEaSsPV7HY7FEXJancFICbAcuqEYRiGWSpwjcYngFIgfr8fXq8XqqqKSIfH44HX683qOiEzL6ug4NZWhmEYZqnBEY2PhMSDruuYmprC1NQUIpEI0uk0CgoKUFpaKiIaFLH4UNSCUycMwzDMUoIjGh8BWZCT2KBtVNCp6zri8XiWRXmuqIXcwQKwlwbDMAyzdOCIRh5Qx4hsvkWTW8lyXFEUpNNpGIYh6jk+JDLkfXFUg2EYhlkqcEQjD2SRQdEKh8OBkpISVFRUoKysDJqmIRgMIhgMio4SjlQwDMMwyw0WGrOERr8D74ar2e12mKaJRCKBaDSKWCyGVCoFt9uNQCAghEYuaJw8WZjTNoZhGOYnfm6Ul4+dCxMWGnlAwkAWEKZpIhwO482bN5icnEQymRQpFboNkPuLIA9Z47QJwzDMO2ZzTGRn5YUJC41ZYrPZoCiK+Fsu/AyHw6LzJJVKicsUAfk5EQv+kjAMwzBLCRYaeUCRh1QqJcQDzTbxeDxwu91IJBJwOp34//au7Dmq43p/d/Z9kUb7AgKBxCILbAfKwf45yYMf4pfkNXnKf5K/J5WHlJOKnaqkiB3bxLiwXSAwCJDFJoTQMvvMnbkz83ugTnOm1XdmJBAg5XxVKkkz995ebvfp7yx9OhgMbtvOKqxbIBAIeoe4TvY3ZNfJLsAPQCPSQK4USkduWZY6Ip5vbQVkMggEAkGv2KnrRPDmQSwaOwTtOOHnkwDPzi/J5/PY2tpCLpdDs9lEIBBANBpVqcoBIRkCgUAg+N/CviEaO2GqRAQ8Hk9bfgo6BI0/k74j9wbdS2eV6J/zfBj6OSWhUEjl0SiXyygUClhbW4PjODtuL52LQunMW62WyslB7dDr3g08R4d+eiwnQ273cujH29Nn/PNewfu8UzvcyjLVk7uneDvfNOiWsU65VnZTf9N76NRvrxu7fUd6/d36rNvze3kfOwEl8nN7r/xEZ1P9TXXn88X0PP0efU6+rHnQ6XmmeWiSDd0yJNP9JlntOI7KtEx/9xJ8T2g0Gmg0GsoCzct+E2XFfsa+IBo7NZ3ReSI8sZaeGEu/hwYX3UvXAlCEhR+iRvfxSeT3+xEMBhEMBmHbNur1OiqVyrbyemlDo9GA4zjw+XyqfD6xqH0kdKgOnSaJiWjwrbV0v9sk7UWw7GbnjOlekzByE6Ruz+PX9ipkX4eQMfW5KVusm4DWSRW/3tRu0/WvCm7lmeZULwsSv870bP0ZncrXXaJuz3CrO13LiYBbnXh5fA6bytTr3q0+vcwRN7yM8a/Xk7fXVL9OzwCeB903m000Gg2laNm2Db/fj0Ag0LEPOUGj//kzTWNOyMbLxb4gGjsB1/hp0ND/lmWhWq2iUqnAsiyEQiGEQiF1H10LQFlAaHDTWSWt1rO047rrpNlsolwuo1QqoVwuAwAymQwOHTqEQCDQc/254KHy9XbwthIJ4dYWN3DNyU1YUXtpotE9RG50mDSrnU5QimGhttOpt0SCKCEaJ49umuaLaqC7tRr0umDr9aNxpAs7/h5olxPQTn51TVEXmnRdpzq/CoFqIg4mYqUv2Lx+bmTK9LsTTBYLXk+9PjTfeZn6D0ez2USlUoHX60UgEFDvicqkd8oVBj7femmD2zzvdn8vz+5mYdD7y3SNW11MpJkf3cCfaXqnjUYDtm0rpa9cLiMcDivljitnXI7SHOD97PP51E+nNlHdhHS8GA4c0Wi1nrkYaEtpMBhUg6RWq8GyLITDYQBoM5mRq4IEP19ggWcDkBZAPtFpgng8HjXofT6fMsmFQqEda/k0EXTNh5/42k1r4v1BzyTwVOe6lca0MHGyQ8/UrTluZfUCXYjz/qc66RonQV+c6LebwDBp+W6Lxk6wU62R/yZwyxdfePS+1jU0/XP+u5sF4VUK0G4CnX/eqX6mBWyn88tUF/4c/jx9TriNe/rt9/u3yQh6h5xU0o/b8zvVn9Cr1Yejm8VjJ4QQaJcPJpnCn0Xf62O009io1+sAoAj36uoqlpaWcPXqVSSTSczMzGBubg7hcLjNaqH3q/6/bn0yte9F5YLgGQ4k0SBmCwCBQEANqFqtphZ/GvSkrdTr9TZXBdCuPdKz+UThA9Xr9SIajSIajSIQCKBWqwHYnSDXLQ+czOjldlpM3AQw3U9t1DUkN8uH/gzALEx2uui6CT6TQO+2oHTS1HWiYSJLu8FuiJWpLfr/OsEyLV762OBuMP25utb8pgpQN+2+0zvdzfP1z9ye6bZw8rnH76G4Kv1znVDrz+9ECrvNQ35tJ7iRXLf+6DafTXPKzc3sNjf1hZ6Dzosi64PX60WlUsHdu3fxr3/9Cz6fD3Nzc4hGoxgZGYHf74fjOAgEAm0WZxMhI9eJSd4KwXi5OHBEg4IygeeDhqwVBCIjtVpN/Xg8Hvj9fmU1aDabKJVK8Hq96ph3+tGtAyTkw+GwsmpQGnIiPLvReHUt3vTTaZLqQpBbLdwC0HS/pZu2381i0Gt7iaSRq4C7TQC09TtP026qg0nw0+Lr1kem5+xk8dqNQOpmeXBbkPRnkHbMn8VJqE5M6fudatAvip2MB973OlnSx1Yv/WR6Ps1J3j+m//n1+nzQd5J16n/+HB6Yzl2GnQiwTg5MeXk49Ht0ckmfmQiQ3lf6/OdjqZN80OvG28Rloun5/IfkAvWn1+vF0NAQjh8/jkQigYWFBTx48ACxWAynTp3C8PAwotEo+vv7kU6nlWXYcRzYtg0AbW4tfg5VJ9kieDEcOKLRaj2zTtDiRDtHaFAVi0UsLS1hYWEBtVoNjuPg5s2biMfjOHr0KE6fPo2RkREkEgnFinlsRqPRUEm4gOeTnmI0KpWKMvWZBH0vsCyrLSKayue7YDhb1xm5m0XA1Ff6dVyI6sKMyJqbVrwTy4N+Dy9XF+KmBYDX30Sk3ISGSZiS75aTm70UNKa6dbJUcI2XvwOThYOIIh8fpoWR39Ntx9HLQC9kQ2+76Xq3RanbO9brYVogTZqsPp9Mi6qJmPDrufyhsUmxGWRFpWtN89fUB25/mwiFqR2d3odprvH26UqOm9LRi8Ji6kN+HfUdPwk7Go1ibGwM09PTuHv3Lm7fvo1PPcs3VgAAIABJREFUPvkEX3/9NZLJJDKZDMbGxjAxMYGRkREMDw8jk8kohVEnTZx48vnG+0GIx4vhQBINHmthWZba/ZHNZrG2toaffvoJX375pZr0Fy9eRCAQwLFjx7C2toaTJ0/iyJEjGB0dVYwYgBIMPLiTBmCj0VCBoLVaTRGefD6PBw8eoFQq9VR/y3oWn0G7ViKRiApQrVario2TNttsNtsCWMnCQj+60KSJxRcsEoB8gvHJ3mg0lGvJsp7truFlumlavYIHfOpWI7I8UZ35IqqTBOo70hb5c0yLA9eY6MeyLEQikY4H4b0M9CLIuQuP6s8Jq26l4G3i5ITH5OgE5VWgF02xGzl1Ix3cguB2nf5svkXd9L3+ub5Q9tIG07ZWncDzQHPToqaXQ9e4Lcqm79z6x9RGE/kwfea2rV5/Jrci03zSt6Dyscnbo5PoWq2mrvX7/YjH4xgfH0cikUA+n8e3336rZMPQ0BCGh4cxNjaGI0eO4OTJkzhx4gTGx8cRDoeVbCA5ph8Rwd+VEI2XgwNHNCzLaov29nq9ePz4MRYWFnDx4kXYto1wOIxYLIbBwUEEg0Gsra3h2rVr+Mc//oHLly9jdnYW77//Pv7whz9gYGAAzWazLbaDGDbXqOn01nq9rv5fW1vDlStXsLW1pQJQu8Hr9SISiaBSqaBSqSCRSKiFL5/Pq1iQRCIB27ZRq9WQSqVgWVabNktbbSnmhBZS27aRzWbbds4Eg0EEAgHlOqIMp0QmCoUCSqUSbNtW9YtEIvB4PMr1ZFmWSsG+E4sA1SEUCiEWi6n2BoNBFcFfKBSwtbWFQqGAWq2GaDQK4DkBIkHh9XoRDocRjUYRi8XUc0yaHgl5x3HgOI56jtfrRV9fX9tOj17QqwXH4/Go3UQ8AJn3l8fjUe/OsiwUi0X1noj41ut1lMtlNd5oB1UgEFDPJGFv2zZs21YWskAg0JYaf6+FaK9986LQ3zOVbbL66AsZP5GZFkKdCHTrK51QcPmgWwM5wec7jOgaqodJUeCuBLd4Ll4fXfHSr9cDKE3EhSs2et4b3k5eT05ieMoBE5kx7abifcetQrZto1KpoNVqIRAIIBwOtylDm5ub2Nrawo8//gi/34+pqSmcPn0ab7/9NoaHh5XVY3x8HENDQ0rO6W3pRsIEvePAEQ2gPdagXq/j4cOH+OGHH3Dp0iUcOnQIFy5cwNGjR5HJZOD1enHkyBH8+9//xsWLF3H79m3cuHEDkUgEH374oTrqXY/wp3K4W6NWq6lJAQBPnz7F1atXsbS0pAZzN5DFgBZAvihUKhW1CEWjUdTrddTrdRV8pm8J5YsVLWyO46BcLrcJVm4F0AWhZT3bEswtGrSdzOPxqDoAUJ/vxE3k8XgQCATUDy2WJNhs20a1WkW5XEa1WoXjOAgGg6rPye9Nz6KkaUQ0qC91zYTGB/UJX/Tj8XjP72unIKJI44X6jupG/RGLxRCLxeD1erG6ugqPx4NYLIZQKIRGo4FqtYpsNqtOCSbymUgk2upv27aytFG22kgkgmg02uaW20syYPLpc3ChTvXgqfz5lmfg+UJO451b5ExEg37TAsmJNV+oac7Q2G42m6hWq+pgRD5XuNWMyqe6VqtVpZh4vV5Uq1UUCgVks1nYtg3LspBMJpFKpdRYoDqTksDrx/uAW/WoHnp/UB/R5/V6va3u+hzQLQ+hUEjJTh7srvc51Vl/dzph4e/b5E7RCRNXBvhCz8dGLBbD+Pg4BgYGEAqFUCgUVN8R+W61WqhUKlheXka5XMajR4+UMjQ6Oor5+XmcPXsW09PTiEQixjnQC8EUdMeBJRpkVVhdXcWNGzfw/fff49GjRzh16hTOnDmDU6dOIRaLwbIszM3NIZ1Ow+/3I5/PY319HXfu3MGVK1eQSqWQSqW2HaAGtGtQjuMorZ8EYqFQQLFY3JUg59oC/c2DzPx+/7acE7rpj4QQJyE82FMXDMB2YUX3Ur9S+0m4cjcMCUaa6L2AFlb9PBgqj9rH602LI33G60aWHE5YbNveVh9u3tUXMr5roNd31StISDabTeUe488gYRmPx5FMJuH3+/Ho0SNY1jOXDicauVxOtS0Siah7BgYGlHvPtm0Ui0VFNILBYBvRoDimvSYanVwPOtEgTZV86o7jKBLPxyqNO338mNwJXDslS1cgEGiLjyCiGwqFlOWoXC7jwYMHKu6LkwD64W46CiInZSAQCKBUKmFzcxOrq6sol8uwLAuZTAZDQ0Po6+trszgEg0EVVE71AKCsbkSKfT5fWx/xOQ48n/+WZaFWq6m6U32p/4is80U8nU63jU9OHGj+kWJA1jk+F00uUG7Bo2cQmdTjJrh1glwl1Dbqk3q9rvownU4rOev1ehWxIiWjWCyiUqlgZWVFubWHhobw008/YXV1Fb/4xS+QyWRUf9IPt4wLXgwHjmiQRQB4ttB/9dVX+Oyzz/Dtt99iYGAA8/PzmJubg2VZasI6joPTp08jGo3iyZMn+Oqrr/D48WP85S9/QX9/P2ZnZ7dpuLrAq1ar2NjYwNbWlhLq5APk5KNXEEng7JxbT7h5nNdJd+fQ3xymRYX7cTv1LV3LiQr9JqG0E5AG2Al6fU1BqXQdCTNKyqZrQ52eTwsRtzL0gp0u0tlsVt3HNXK+UKytrSlhR4sLJ1W6OT6fz2Ntba0t3oWEJBfa3Cz/Im3YLToRDQ5aFGlRIR89sN2iwZ/pFn/B558ew8RJCFkKLMtSi7DJ6uSm5eruBCIAtNDq74Dn1fB4PMrtF4vFEI1G28hCrVZT1hF+WjTPHkzt5FYXIklEDjjR4LFPrVYLwWAQIyMjKriddmpQm6ne5KIk4ks/9O6IMBFhI3cHkR5OeMPhsCLGtVoNlUpFWeHq9bpSYPx+P1KplOqfRCKBoaEhTE9PY319HblcTslLnjGU2kjtdhwHjx8/RjabxY0bN7CwsICxsTHlTpmYmMDo6Cgymcwridf6X8C+Ihq9LGJcaNi2jbt37+L+/fuoVqs4dOgQRkdHEYlElBuAtNlgMIjh4WH87Gc/w/LyMu7du4d79+7h/v372NzcRF9f37ZIfoLP50M8Hsf09DR+9atfoa+vTx0TT4JSF6RcEHKzqGU92yZLgo5861QObyffKsddHzS5bNtWk4z7fGkC6wsYj+2gbbqtVgtPnjxRPlF+Gi0vhzQKn8+HYDAI4LlplmtTtEhwl4Ue4Ejukkqlor4n7YcESCgUUvUjM2+xWIRlWaqf+AKum5K5K4i0K66J0fdkvm80GigWi+pZJMSazWZbUrZaraZiZ6g/uOZMdSXhzmNE+Nile0jj07PE6mPJRDj5s6ivqF2U54W3XV+g9TgWvpC9KHTXhg5OBkwxDPxetyBm4DkZMdXbZP1wM/PrddU/010B3ELGlRLdusIthqQkESHg84W/C9u21cLLCSV/Pp/vNP+JuHHZoVsFvV4vYrEYAKhxarKucosOl6O6tYLPOV0WUVtp/AHPyQ+5FWnucyJG96XTaWxubipLBfUDlUOKD382tZssHfV6HV9//TUSiYQiL8PDw5idncXHH3+MQ4cOtbmnBLvDviIavYIEfjabxf3795HNZhGJRHD8+HEMDQ0BMCfJCYfDmJubwzfffIOvv/4a+XweT548wcrKCsLhMCKRiFHAeL1exONxzMzMIB6PY25uDsVisS3wT7+HWwdo8SELRCKRUFoAmYyB51YOvsiTmZkv5OT/J43EcRw1sUn7pbgL2tFBiyJpKvF4XGXa++mnn1AoFNBsNpFKpZRJkZfz9OlTpRFFIhEAUIsTd2fQpK/X66hWq22aKgmJUqmEQqGAXC6nzoohckH1o6BREnDVahVPnz5Vmh4AJVip/bp2Rf5yIkd0vc/nQ7VaVYHDFPT69OlTddYCxcg4joNEIqGi1yuVCorFIkqlkuoPIm0k9GlnEvUBbYvm5ut4PI54PI5QKLQjVxSNbSKufIEh6xG9e952fecR9SvPNaOT02510he/vQJf4Lm1wUSUgOcuPhOx4HEQ3DrA22Gy5uluG7qfW0mA5xmIaUGmd2WyOhIZ1NtKxJbLAeD5tm69bP5sWmRJAdCVhmaziXw+r/qD6skJEbWfyqWYDt423ifA8/TfOx0Lehs44Q6Hw8p6TXOZB61y8sHrwN+5bdu4f/++KgsAUqkU7t27h7Nnz2JoaAjRaHTbfYKd4cAQDT7xPR4PNjc3cfv2bSwtLaFarWJkZATz8/MYHR1Vk4SIAN3n9Xpx6NAhHD58GIODg8ocvbS0pCwapMnyxZ8mbCqVQjgcxvj4OID2CPZe6k4TgZ/V4hYbwietyZTLBQfX6HnwHzcr8zJ0LaleryvLCi28vO60jZdMojTZuWuA+8LpPu4f5mZsWnyLxaJyO3GyQoSDsr5SHbLZrCJL1Gav19smVIlocP8zaV/8XRLJC4VCKhZlY2ND7dyIRqPKEkF9wklMtVptI0h+v1/Vk2J5bNtW5+PQjiWfz6cCkIns7SaGghZL0j714FoeF8D95PriQG0kklGtVrG+vq4sNvrioS+4NH72imiQBYzmJt9pRfUtlUooFovKRTc4OKjeB2m+NMaJYFLgMVnxOHHhQcgmwsWtBnxXFwBl8eI5cXgwZi/g84XqTu+a2kOLLBFJUgiKxaIi3qTF+/1+FItFbG1twbZtTE1NKdcJ7SgjmUDlkwvHtm309/erz6jfeFwOt6TpZKSXtuoWSXpvpVJJzS3g+ZingHRuKeRuH25xou+41Yt2dJHFQ1wnL459QTQ6MUlOMLiws20buVwOGxsbyOfzGBgYQCwWU9v/aFDRhKfBnEql0N/fj0Qigc3NTWxsbODJkydtZjlOBPSJQJox17BMLF4nBnzBJ6HPP6Pn6X1h0q54n7l9xhcDkzZFZZOQIQHLj62nZzabTcTj8TarCS+bm471cvT2ceFP1hjd/cIJAT2n0WgglUqpBYe3UScyXPviAoj3MZmNuZWILE1EBmjh4aZVbgWga8kCRASX+7RpUeBmatqxQIvmbtwVpuA8EvhUFo1Pve3c2qYvrGS653E63YgGDzZ82dCVBt3qR+OI4gOAZxorEQ0+Hjip4hZG2spNfcotHqZ2cdnAxy2Atv53m3/dQPJGJxo0TukzItGBQEAtnqVSSfVXPB5XrohSqYRsNot6vY6pqSk0Gg21nZyew8d5pVJBLpdDrVbD6Oio+kx3d1IbeTDrTtpL74fcJQBQLpexvr6OW7du4cGDB9jY2FAygh+E6WaBorHRaj0Loj569ChGR0cxODioEntlMhnMzMwgGo2qoyvEorF77Aui4QZ9ANHfJDiq1SqKxaKKOubCkQsDLhjD4bDaetZsNpHNZrG+vq6ENddEuLDhk58zYN1twqEPXLeBrJMS/Tt9QtG1uhZguk4nL7wPqe48EMzUFst6nrukE/vXSY9uFuUmcNLEuPmWt0d/JpE8TkDoe94+Tiz4u9dBmg+PiKdcKDzHiOkZRGapXtw8TeOEt5cveLyOvG07BV8EdfMxLZS8P00EgdeLP08nmyaiQX9TXfYKOpl1I836QYtuVkDeXqq36ewS0xzgZXKlgVsDOHlzI+DdwGUQD+bk8SxEJrgGzy2TABSZ9Xq9yuLRaDQwNDSktsHTDg5u+QKe72ZyHAcjIyMA0GbRALDtSAdu6egV9O4obqXVaqFYLOLevXv49NNPUavVsLa2pmSE1+tV1kR6L1ym8F1DgUAAmUwGH3zwAU6fPo3p6WlMTEwogjQ8PAwAytIoRGP32PdEg35zoUiTij6jZFrEwE1HA3NhnEwmMTw8rJj+5uammrhcwHAtmQs8AgkUbrrWr+F1MBGPXsx2JgHbK4nR66QvNgSdpOnfm6wtprJMi5/J6sItQvp3/HpTkKBeZ1NZOgHhdXSrF1+UTfWh//nCol9PWii/zkT4eBT/TrfbAu7kRK8bh2nMcEJoag/97jS2X1UgnU6K+BiiYFi6rhPx5++EE0B+nYn06nVx09z1WJKdgpNfctO4jVugfUeZ3gdUl2g0imQyqZ4PQOWW0N83AMRiMaTTaVUHsjqEw2F1j2nr6m4tW1yux2IxBINBLC4u4tatW1haWkKxWNyWl4bqTEm9UqkUBgYGMDw8jJGREfT392N0dBTvvPMOxsfH1dkovG93s5NOsB37mmgA2ycOmfm4H5+2dBUKBVSrVaPJkgQUBfr19/cr8yqPUKa92bqwMC3AbsJEn3BuGqB+bzdNyu060z26RsqFqa5pcReKG7i1wyTwupGsTnV1A9XTRCj4vXpb9e9MZZu0TR4jw2ESnm7tpX40vVedZFG9d6oF6u46t/qarBfd6s+/69Rufu9uF5fdghNvbl2gz/T32G2MmWAiIHS926LOP+PP3s0CzOcwJw3cIqnLD16eTn4B87jhblxukeCWQ34dz7L5ImSKQO4v7oIiC87Tp0+xtbWl3DvUNt4PPp8Pw8PDmJ6exltvvYXp6WmMj48jHo+r5HWUmpyUAHqvtHtOn6+CnWPfEw2+yBOILKTTafT19WFjYwOtVgtPnz5FLpdTe6r5BCXGzCcb7SZJpVIqUj8YDLZFefPyTSbkXogGXa9/14sVwk1AuS0Gep24JUivh66pmsozCTm9HaaFzU0AmtrXaZJzgsPN07r1gdepF+FH7dEXf70dJri9Q10LpbryPjQtAL3s8NDL57952d3Igf6/6RmdrulW1suGXj/T2KbxrbsC3cab3g638enWPr2f9OfqY3qnRMMkc/gzuCzjcUw66dKDunXXHpVlIhq8bL79VHdbmkj0TsHdTK3Ws2yf6+vruHv3Lh4/fqwysVK9SbmMRCLo6+vDiRMn8O677+K9997D9PQ0BgcHYVmWsoCEQiEVe8TdWvTMV2WRO8jY10Sj00KUSCQwOTmJmZkZlczl2rVrmJ2dxezsbNvWSAoyarWebSm7f/8+bty4gUajgWPHjuH8+fMq+I8GIF94Wq1Wm6kbaN/br++4MAlikzZraq+++HdaPDsJL71sHrNA35tIBo9FAcxJk3gZJuKlX9NNCOnvWG+3fq1Jm+u1P0zEgKALZirDFJPj1h7ej7qmzfvWRHB6AS9Tf6ed6tTp/27lAJ0tIHsNNxnA5woPNKZAXX3c6W6snY4hXm4vZJaXu1OY7tWVG2qLHltFv/lOI94uvkWUzzOyVtAzKT6Edv3w7bJcJhKp2e2iTdt5aafJysoKFhcXcfPmTayvr7fFZ1FSr8OHD+PkyZM4e/YsZmZmMDk5iXg8rlKU81TyVD++/Z7ayTcOCHaPfU809P+bzeeZJtPpNE6fPo27d+9iZWUF165dw4kTJ3Dq1ClMTU0p3zdNSMdxFMl48OABxsfHMT8/j7feekv5BfkCw4Wrbt3Q6+cmDPnkN2lknaBrMrxMN2uCbr3otgiZ2qFrZxTx3ek+N8Hb62c6dK2sm5bZSTN36w/9XlM/6IJTf/duz+Pkjn/mdk+vMFlTuvVJpza7oRMp7PXalwV9Uexk5ehkBudav9u76GW+6Jlr3Qh4t3HXqa3d4sNMskQfc/x5nJSQHNXjn3QCRhYM3l69r/SFezdjgdpJhIJy1pAr3O/3Y2xsDCMjI5icnMSZM2fUgWljY2Po6+tT5wZxkq9buAC0Wat5fwheDPuCaHQSiKbPaAtqIpHA3NwcfvjhB3z//fe4d+8eFhYWcPr0acTjcQwMDLQFidm2jZs3b+LOnTuoVCr48MMPMT8/j8nJSQDt2rtuSeAmSlP9Ow1W/R5OYtwWSPrOrTz9XreFo5dFplezrslM2sviuRttmLddF7ZuJMsEEjgmgudGFHk7e7EYmNCNUOpa5k7Qa3/2Qkh2WweOvRTUnFzoliKgfcGgRcPNvK+PKf7btIh2s6jx6zrVW1/8u4FvW9bLc+sj3gYe5MrHslvQNB/r+nPof7f5Y5IFLzKmKPaOfg8PD2NoaAhnzpzBsWPH1MnbyWTSlShwSwWX4cDz4HJ9t5DgxbAviEYv4BoLJdjx+XyYn5/H999/j8uXL+Phw4e4ffs2Ll68CK/XizNnzmByclJFFlcqFSwuLiKfz2N8fBwfffQRZmZmtgkUfUurriVxtkwT2K3ObgKLoE9u06Lmdr8e3MUZvP4sk5Clv8li0W3S0eTVXUVu7aK2862gehluGiq1h8fa0PfcfMvRyWKx28VQJx96OTohpXbysk0aFjdr7xSm9+tW917ImBvxdBuLbvftBUxaulsd9bGkkwt9se1Upgn0nnlAJH2ua8/ddqF1AuXk4PU1tV8nO7pbz60OZD3Qn8/dIFQHfc7q1hp6tv6zU+g7iRKJBM6cOYOhoSG89957OHXqFFKpVFtyNLdnAM+3qPNgU8rPw+ei4OXAar0KafCa0Gw+yxp46dIl/POf/8Tly5fx5MkTtFotTE1NYXZ2FocPH1ZbsxzHwfLyMqrVKvr7+/Gb3/wGR44cQSKRgGU937Ou51DQhROfaC8yudwWr908h/82EYZOVgzeTl375zs+qL47NTf26rogWJb1UsqlZ/M2dVtEeJ31690Wjm4LCtcu6bpXYbLd7UK3W4vJ60Y3i42JzO9FuS/j+ZT8ilLb6zKH/9aJLs/x4TZ3+Of0P3eRuBEc3t5O799ExvXcLvoz6ftisYi1tTUsLi4imUxicnJSnb5KssE0n7k81dtFxItf9yIyV9COA0s0uLaytbWF5eVlfPHFF7h48SKuXLmCSqWCdDqNgYEBxZAHBgYwNTWF48eP4/jx44pkUPAnJf2hhD8CgUDwqkEKVL1eV4cctlotlUOCrCq6tZAWUlKY+MGAL5KQymS90MHJBycUnGTQbkC+40uXs5yQu5FEkc1vHg6M64SDD0CPx4N0Oq0O+xoaGsLRo0fx448/Yn19HcViEYFAAGNjY5idncX58+cxPT2tEnbRQVmUfEZS0QoEgteFZrPZdtQ6X2DJnUH/69uiuZbO3Wsva2HuxQLAFUAiR1RHv9+v2ler1dQ5Qb2UK3izceCIBjdDc9NdKBTCxMQEgsEgJicnsbq6is3NTZRKJfh8PgwODmJ8fByHDh1Cf3+/SjdN90sEskAgeN0gEz93MZAbhWeaJdmnH8TIDxnjv23bVtfv1LrR67UmVzO3XtB3erpzfn+nckU2v7k4cK4THrSk++S43462wdq2DY/neR58figThwxigUDwJkCPD6pWq+rgL362iOncH36cOndflMtlAGg7BLBXmFwYpmu44meKg3DLtMqTAZrcJnq54jp583DgiAawfRDykwMpYprMjHrAkm5yNAUVCekQCASvC5xo8O28bqnt+e44urfVarUdvNZLTo9OJKLb9zpBoHi3cDisgszp4EtKnkVtI3d1r0uVEI03DwfOdUI+PqD98CKeTlbfjsVT3JoyMxKEYAgEgtcJffsol2f0u9lsolwuY2lpCY8fP8bIyAgGBwfbDg0zKVBuhEXfvaKjk1zUY0ToN7embG1tIZfLqTOqKBOo2zZ1wf7DgSMawDMLBk0Y2i/N937TwKUUucTsge17vnW4TTaBQCB4VTBtSyWFqdFoIJ/P48qVK/jmm29UNuTjx48jk8moXXN8WyxPYKXnYeEy70XlH693s9nExsYGlpaWsLa2hqmpKQwODrZZXl5WuYLXiwNHNDweDyKRiPrfbS81MWYKPCIQSSEriM74yfcpg14gELxq8PgK3SVRLpeVLCuVSrh58yb+/ve/44svvsCFCxfw0Ucf4ec//7na0k+KFllH/H6/2vJKz6QyX2Sh5/UEngWcOo6D9fV1fP755/juu+9QKpXwu9/9DqOjo/D7/ahWq8qNQqdv8zrodRGrx5uNA0c0yPfITW8EU+wFuVr4BObgGemA3efrFwgEgpcFkkFkjdUDPPv6+nD48GFMTExgcXER33zzDSqVCu7du4epqSlMTExgYmJCHTRG8pCsIi/TikHgwZ8bGxu4fv06Ll26hJs3b6pdfpSd0+/374joiIvlzYb3j3/84x9fdyVeJnjiGh5voWfO40TDtu02VwsnHPp9EmgkEAheJ7gVQz8EjGRUJBKBbdsoFAq4efMmVldX8ejRIywvL2NlZQXZbBaBQKBNvnEioFsO3OLWdgqKH1lYWMB//vMffPnll1hZWUEgEMD58+eRSqXarM2dDi10c2+LIvjm4cARDRqkPOiJuzw4+SBrRSAQaNsapj/PFEQqEAgErxp6BtBGo9F2Nk69Xke1WlXHJNTrdVy7dg2bm5soFArY3NzE/fv3sbi4iHv37uHWrVtYXl5GrVZDMBhUxy2YgkFfhGgQOSqVSrh69Sr+9re/4ZNPPsGdO3dg2zai0SgGBwdh2zaKxaI6oZWOfDARILf6CNF483DgXCfA9u1NRBY6kQgTZMAKBP/bII2fZEWnk365paHTNlG3cnggpv5s/Rp+nZ5mnOoaj8cxNDSEeDyujnP3eDwol8uwbRu2bWNxcRGpVApXrlzByZMncebMGZw9exaDg4MIhUKwbbvtADI98NR0MJvunqadfdVqFffv38ef//xn/Pe//8Xq6irK5TK8Xi8ePnyIv/71r+jv70cymcTY2BjOnTuHd955B6FQqE1+6+UQRF6/uTiQRENHJxObDE6BQNAJfIGleC7ayUbBlJxo6C5bt5w8/HOyupq+p2v0z/i9RCLIkgE8C+6MxWKIRqPqwDF+YumTJ0+wuroKy7Jw5coVXL16Fbdv30a1WsX09DSSySQajQYSiQTS6XRbtk46l4QTMT3ontebXNSbm5u4ceMGHj16pALvqV/v3LmD+/fvIxwOo6+vD/39/Thz5oy4rA8A/ieIhkAgEOwGtDi3Wi3UajVsbGzA6/UiHA4jHA7Dtm1UKhVlafD5fGrXG5n+yeLAt9sTOWi1WioQku+I4/kyWq1WW9IqOp8pHA63HRlPZVIwPMVvJBIJRKNRZLNZVKtVtbjz3Ry2beNzVvNHAAALbUlEQVThw4fI5/O4ffs2+vv7kclkMDIygrm5Obz11ls4evSoahvfkUckRydX3AIRCAQQiUQwMTGB3//+9/j000/x+eefo1wuY2RkBKdOncKpU6fQ19en+paOftdTkQv2H4RoCAQCQQe0Wi2srKzg1q1b+P7771EoFFTAZa1WQ6VSUXl6IpEIBgcHUa/XkcvlUCgU0Gq1EAwG0dfXh3g8jkAggEqlgnw+j1qthqGhIWUdoWB04PkZJnQ/HaSWTqcBALZtI5fLte2yo/p6PB4UCgUsLy/j7t27yOfz2xZ/fiYUBZaWy2WsrKxgdXUVPp8PiUQCCwsLuHz5Ms6dO4dTp05hamoKyWQSABRZMm035VYNj8eDYDCIgYEBXLhwAdVqFaVSCV999RUajQb8fj/effddTE1NIRKJoNVqKdIh1oz9DyEaAoFA4AKyKjx69AiXLl3CJ598gpWVFXVEe71eh23bigTEYjGMjo6iUqlgfX0dm5ubsCwLsVgMw8PDSKfTCIVCKBQKWF9fR6VSwcTEhIqh4O4J27YV0QiFQvD5fIjH4zh27JjKQ7G6uop6va4sLxTw7vV6USwW8eTJEywuLqqzTLjVgbsu+DHyFFBaLpfRarVw48YNfPvtt7h79y7+7//+D+fOncPo6Cii0ShCoRBisViby4b3HS+TzpKKRqN4/Pgxbt26he+++07Fexw5cgSzs7MIhUKo1+vK+iPbVvc/hGgIBAJBB1AgYy6Xw9raGtbX1wE8y2HRaDRQq9WUVcHj8eDBgwcqDoLcJtlsFmtrawgGg/D5fHAcB7Zto16v4+HDh6osnkacuyB4UkHaluo4DhzHUQtyvV5v24pPdajX6yqAtFarbQtaJZdOs9lEqVRSZ47wBb5UKuHSpUu4c+cOPvvsMwwODuL8+fO4cOECTpw4odKGU9mdcl84joMnT55gaWkJlUoF4+PjmJqaQiaTgd/vh+M46sgIwcGAEA2BQCDoAK/Xi0QigeHhYYyOjiptnyfI4sGQZJmIRCIqnTbFZDiOg1qt1paVU996X6/XFSEIBAJq+z3Fg+Tz+bazTugAskqloqwDwWBQPYfvRgG2B5Ry4qGfd0JWDyI1FKcSiUQQDAYxMTGBo0ePbgtcpR06pvK8Xi/q9TpKpZIKKiUCphMUHogr2L8QoiEQCAQuoEUzk8ng5MmTePToEQYGBrC1taXM+hSsSRo4WRnIDUIko1arbftptVqIRqMqBqPVaqFarSqrQiwWU9k7C4UCcrlcm0vF7/er+8vlsrKshEIh5PN5bG5uKhcItUffLssJBn3PT3WlVODJZLLNyqCfkULX8X7TA0MBtJ0/RWTGtm1FkjjJ0M9zEexPCNEQCAQCF9ARBf39/Xjvvfdw+PBhZTkgVwS5JmhR5eSC7zihtNoUKEq7QJLJpNLom82mIhqtVgvxeFwt8LlcDltbW6hUKoqkhMNhJJNJxGIxVReKG1laWsK1a9fw7bffqmBQIkd81wu5WKiO5IKhuA/HcRAOhzE/P4++vj7EYjGMjIzg3LlzePvttxGJRNpIQi+JvSjHRyAQQD6fx8rKCqrVKgC05ewQknEwIERDIBAIOoAsB6FQqO3QMeBZwGatVmuzaPC8EtzFQRYLivmoVCpqEScNn4iI4zhoNpttx6ZXKhWUy2VFEgCoo9XpIDIAyv0yMzODsbExZLNZLC4uIpfLKXIBoM2dQuVxVwy5NcbHx3H69Gn89re/RX9/P3w+H/r6+jA6OopMJtPWT3r+DJ5fhPqmVCpheXkZN2/eRKVSwcjICMbHxxEMBtVzJHfGwYIQDYFAIHAB16opHwSBFkSfz4dgMKhyS1A2TX4wGF1PP8lksi0Y0wSyElD5RBL4NlaqI50hQnWxLAv9/f1oNpsYGRnBw4cPkcvl2lwkdJ4IWTUCgQDi8bi6r16vIxAIYG5uDr/85S/x8ccfI5VKwXEclQCM14P3id6HdE2j0cDW1haWl5exuLgI27aRTqcxPj6uCBVPgEbkS7C/IURDIBAIXMDJBSXtIhcDLdZkCSAyQgs9LeDcqqHHONB3/FwPfhorz/rJ4x/I6sGzlFLsA8U9PHr0CAsLC1hdXUWpVFJkotlsquBOnoNjcnISp0+fxtzcnMphEYvFMDY2homJCQSDQTiOo3apUJ15MjGTm4NbOshtRHEva2trsG1bBbhSG+nI+1AotHcvV/DKIERDIBAIOkAPZOSkwmTi5//z7/V4A/4cTiL4vaYto9xtwgM4yX1Du0RWVlZw/fp1daYIER/aEePz+RAOh5FOpzE1NYW3334bZ8+exfDwsEpbHgwGEY1GVUZQIiX8t6nublYIr9eLWCyGiYkJTE9PY2trC7lcDqurqyruhFxVFBjLD1XT+0WwPyBEQyAQCHqA7jrpBZ3iDPiC6Xa4o+kz0vz1Q97IpeI4DkqlEu7du4cbN25gfX0djuMgGAwiEomo9OLJZBL9/f0YHR1VJOPYsWPb6miqN/3u1bVB93i9XiSTSQwMDCCTycCyLJTLZRQKhbYdLMFgsC3QlsqRuI39CSEaAoFAsE9ArhICuVWA51YEOiX1+vXrWFhYQLlcRjgcxuDgII4fP475+XnMz8/j2LFjSKVS6myRQCCgXCN7ZTEgcrK2toabN2+iWq1iZGQEg4ODbRYZ4FliMp4ZVKwY+xdCNAQCgWAfwZQHg8dBkOuk2WyqlN9TU1M4e/YsLly4gJmZGUxMTKC/v19ZQcg9wZ+/F/B4PAiHw4hEIgiHw/B6vahWq9ja2sLm5iaSySS8Xi9s21buoEAgIJaMfQ4hGgKBQLCPYDo+nsPr9SIajWJ0dBSzs7OwLAvz8/P44IMP8P7777el+uaJsuislL3c5UHJxNLpNDKZDHw+H3K5HH766SfcuHFDBYHWajWk02ll6RBrxv6GEA2BQCDYR+ABoDxtN7lRgsEgJicn8eGHH2JsbAyTk5PKPRGPx1VCLABqSyltK3Uc55UkyfL7/QiHw7AsC9lsFtevX8ef/vQneDwe1Ot1TE1N4de//jWOHj3aFmwqhGN/QoiGQCAQ7CPoQaQEIhuWZSEcDuP48eMYHh5GMplUJ60SKdGTa/HzSfZ6MW80GipnRzQaRbFYRDabxZUrV9BoNBCJRHDkyBGViIwnSBPsTwjREAgEgn0EPdsmj63gW18HBwcxMDCgdm6YwEkH7VzZS9cJbbFNJBI4dOgQDh8+DMuyUCgUUC6XEQwGkclkMDs7i4GBgbbTaPX2mp7d6XvB64MQDYFAINhnoEReRA48Ho8xcRYFVPKD0ygdOs9Iyi0dewmq78zMjAoKvXXrFtbX1xGLxXDo0CGcPHkS7733HhKJBEqlkgoa7eQ6keyhbzaslrwhgUAg2FdwHEfFZBDRANpPPCXo7hKetZQ+05OQ8Xt16J/tZAnh5ZbLZdy5cwdra2sol8uIRqMqSHR0dBRer1e5WUx1c6uDWDTePAjREAgEgn0GSv9NJMO0+POgUQ5KfU5bYLmVQ08cZjq3RMdOiQZPqV6r1ZS7JxQKtbWL6tMLiRCi8WZDiIZAIBDsM7zowmpyk7yKPBpUNpXD60Gkwo0gCfYvhGgIBAKBQCDYM0i6NYFAIBAIBHsGIRoCgUAgEAj2DEI0BAKBQCAQ7BmEaAgEAoFAINgzCNEQCAQCgUCwZxCiIRAIBAKBYM8gREMgEAgEAsGeQYiGQCAQCASCPYMQDYFAIBAIBHsGIRoCgUAgEAj2DEI0BAKBQCAQ7BmEaAgEAoFAINgzCNEQCAQCgUCwZxCiIRAIBAKBYM8gREMgEAgEAsGeQYiGQCAQCASCPYMQDYFAIBAIBHsGIRoCgUAgEAj2DEI0BAKBQCAQ7BmEaAgEAoFAINgzCNEQCAQCgUCwZxCiIRAIBAKBYM/w/9ZZG1+hQUFOAAAAAElFTkSuQmCC)
Graphs velocity → time is given for cars A and B moving in a straight line in same direction. At time t=0 they are moving in the direction from A to B, then.
![](data:image/png;base64,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)
physics-General
physics-
Graphs of velocity
time for two cars A and B moving in a straight line are given in the fig. The area covered by PQRS gives.
![](data:image/png;base64,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)
Graphs of velocity
time for two cars A and B moving in a straight line are given in the fig. The area covered by PQRS gives.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASUAAAEPCAYAAAAEUNInAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAFSnSURBVHhe7Z0HfFTXlf9/01RGvffeC0KI3jsYUwzuxi1x4pLdlE2y+99NseNkkzhlEztxNza429g0g8H03iXUEOq9996m/++5GhGBhY1AiDea+7XfR9LMGzF68+7vnnPuuefITAwIBGMF3W29+WgoKcSREzVoNyqh9naFjb4T+p5ONHf2o1vhB5XXBCycHo5pUW4DrxNYDXLzV4FgTDDqW9F48SIK0gtQ1a9An70rHB0d4OzsAgc7Bez7KtBeV4qsknbUtWnNrxJYE8JSugYGg4EfSqUScrnQ7tGhE7quYhx4aQsKGuSwefgHmBgbgBlOOnadVdB2VKEv51McvGTAF3UzsHZZPO6e6W1+rcBaEKPtGpSVluHggYOoq6szPyK4edph6KxAdXUjKht1MNi5woF5ZyRIhI2LF1xiJiA4IhzhzjK4KA388dFGzMPSRojSNcjLy8Oe3btRWlJifkRw05g0MGk7odFr0NXTg5aqGjTVmqA1DIqEAvBMhHdoNCYG2MLHgbl75mduBBKf3t5etLe1o6OjA319ffwxmUxmPkMgRRTPM8zfCxhGoxHt7e04fuwYTp06BV8fX/j5+8Pe3l64cTeLTA+jvhMVaRdQWVKKgvoetGvkULn7wcNVCTsZEyXYQim3ga2dLTy9naF2sMP1SsjVgtPDhG/b1m14+623sG/vXrS1tiEhMYG75ALpIkTpKuhGzmdW0unTp9jXfLi4uMDd3R2+fr5QqQbcDMGNwsRAZoS2sRxdLXUoKK1Fc3sPekxyGHQmdn0VUNiqYcMOF0cVHJggKRSK6xalQUHq7u5GZWUlLjDx2751K44ePco/1+DgYMyYOWP4z9HIBFPbg96OZrQ1N6CuvgmNzW1o7+hGF/t93V0d6GxrQSsTtubWbvToAIPCFjYqmXA3RhkhSlfR3NyMQwcP4mL2RXR2dsLELCe1Wo34hARuLQluBiVkcid4eSigttOhuaIMDaX5KM7LRW5pMyo75bD18IGrqx1c7WxGJEiD0OJE6rnz+HLXLmz5/HMUFhbySWX5HXdg4aJFCA4J5r/3a+i6oWkpQ2X2caQe24eduw/jyNmLyC6pQ0VlBWrKClGYk4bM9CycSy9FRacM/XYecHOygYNypO9S8E0IUbqKivIKdkN/idLSUu7K0QxrZ2eHlMmT2WBxNZ8luFFkchUUjo5wdHKGk6M9HFQ6GLsa0NzQjNq6ZmaJMIuEuXRwdOMpArYjMENyLubgq917cOb0aZw/d44LUgKbTNbcdRfmzp+H6JhoOLJ/+1oxJROzlmT6OnQySy7jdAHq+xyhjJqJiNAAxAa5wcPDA85sXlLratFYXYPikib027tCyaxpF2Z8KYQ2jQpClMxQPEKn1Q3c2Ht2o6mxETY2Nujs6IAtE6WJEyfC28sbCuUws6xgZMgdYesehND4CIT6OMIF3ehvb0RjZRlK8opR1apHt1MQ3F0dEOB0fdebJo93N27Eh++/zyeUrq4uLiIPrV+PRx9/DBEREcwddLh2kFuuhMLeBQ6eWthqW5F7sgT9TvHwv+M7WDgjAjPjwxAaHo3oMFeE21eg4kIazhzNRo19OIzuwYjxYFaeUKVRQYiSGTL78/PzkZp6HhdzctDf18djD3q9nrtvXp5ecHZxhoenh/kVgpFjYOpvgMHEhEYmh0yhhoOLD9wDIxAR5oUgNrC1TTVobehAXRNg5+kK9zBPODJr6ZtC02QZvfH66zh18hR3v7U6HaZNm4Yf/vhHmDdvPtzcrjcrnImKvBE9DZXIOFaEDtsgOE9egAR/BfwHPXc2Udk62aKruhztlaUoMwbA6OCFaVHM8rMR0aXRQFxFMyQ+ly7lIIcJkoF9PxgMpa+a/n5cvJgt0gNuFlMPjPpmNLd0o6HJCINRCbmDN7yjpmLi0pVYceci3DErGJHqDrRlp6KouBrFXUDvMHkB9HmRAGVlZmHPl7uxY9sOvuwfHRPDBYliSMuWL4e3z0iSLwf+IRMTJ5mcHbQnxkhJtPxhM0ydnIPh6e0KX7UOmo52tDZ1QMdcfcHoIETJjFajRV5uHjty+Q0/GAyl5WPKdcm5eJG7BSLx7iYwNcHYl4/CogbkFvZDqx1yLRX+cAmfieXrFmLZvDAEylvQ39qJ2mZAozOfM4SqykrmZu/BX//yF+xhX21sbZA8KRn33X8ffv3cs1i7dq35zBHC3hJ9xPxjZq6eTKaA/AoPkhSqDX3d3WjrYiep7GHnoIbyWm6hYMRIRJSMMGo70F2Xj9KsMzh9+DCOHDyK4ycv4EJ+Dcqbe/lsOXQuMmq70NtYhPLs00g9dhhHT2bifG4t6rv16B9yr18PWq2Wr7DU1taio72DB7gHc5Loq0FvQEtLC3u+BnV1teyGFbPiDSHXwajrQE1xOcoKq9FpvHIgyxx8YB8ZiAB/Dzgyh82OfQTMW2KfgfkERlNTEw4ePIjdzDo6dPAQD2jTQsSq1auxctUqzJk7BzHMWrKzt+Pn38gkQvrCvEsYNT3obalCU20Ls4bq0VRfy957BgqYm5hd0Y8GpwRET4jGlHhvqFUi1jhaSCCmRDeNEbruerQUnkX68cPYv+cgjh5PR3phAxpMLpA7u8LLU81uUhnl/HIMvQ3oKDuH1EP7cOCrYzhVokG93hHegT5wcVLBfgQTV0V5OdJSU5krkInW1lZuHQ0NiBqZCFHMiWIT3t7ePHdJrXYwPyu4ftqhZ5/buUOVaGjshXdyMBwcbTAgHwxjN/PVylCa34qcQhsETJ2IxJlhCLLF5XMO7N+Pd95+m4nRWVRXVjErRoE7VqzA0888jSlTp8LT09N85gDXDGwPC92LDeiqLUfGiUI0amxh8vaDs6wb8h5aIaxAWXYa0g8dR2qVCs1e0zB3+WzMnewHH1t2b47knxJcEwlYSvRJyqFUe8EtchqiIgKR5NYJXTsz3VtlsGMi4xHgAScmSENT3pQOznAOiYCLowdcjbYIiotEWEo0/F1s2Lnmk66TciZKp0+dQn1dPV+B62Pumk434DOQK6fRaPhRVVWF8+fPo6GhkT8nGCnsszZqIOvMR13OEezavAvb953HqaxCFBTlIT/jHI5sT0NWDeC4YAkSkmMxyR5wYa+sqqjAP158CZ9+8gnfl1hRUQkXV1f8+Cc/wSOPPoLAwMDhkyJvBu6+ybi1LJeZYNJroO2jRMpOnqBJbn1Xnx597FaRwEAaN0jkWrIPXeUEB+8YxCZNwMyJPvBzVkHG3HcVs5LsnRRwuPqdyu1g5+kBB/cQuHjFYuLkCZgyyYsvIY9kEwG5arU1teymr4KtrS0Cgpj7wG5wJ2dn/jwtI/v4+PCbnm5OGhAtzc38OcFIsYFM4QgvHwe4uxjQXl2FaubKVbHrX1NTieqqWhSVaaFRByJ28Qw2QfnCUduHpsYGHD5yBO+/9x6yM7N4vlhUVBTmzpuL9Y88jNi4OChGeesIeX1ypR1snDzg7O7BLDAPeHh4wss/CEHRkQjyUMCltwLV+cXIy29Gq0a49KOF5FIC5DZ9sFV1o+RSORobeqHxTYa7qy8Srl6JNzQBrenILDYgtycCKZPDkeClZrf99UMbNMvLyvmKW1t7OyZMYII4cyamTJnC40g1NdU8k3vm7FmYlDIJzsxt6+7uQmhoKIKCg7/m5gm+DWZ5KJzh6DsRMVNmYu7sOCSGusOTuWdymR2UTn4ImjgNKTOmYHqMG2y13chOT8emTZt4Qmsbc63DwsOxYMECPPLYo1i5evUoJ7QOuG+dNeVIP1aIDvswuM1cicnRfpgY5AoXD1/4hoQgPIFZ6LoGGMoycKmgEzXdcnglhsKJtsYM/CLBTSA9q9PBBw4hExEZ7IQg22bU5xWjtKQO7VfHKzu70FNQhB4jmyEj4+Dq4kSLtSOCrCQKhNKNvmjxYixcvAjzFszH7DlzmMUUwM8JDAzgsYq5c+fywTBr9mz4+vpefq1gBJjs2aTjC7/ICMQlRyAsIgIR4YEI9PNh1qgfApg7njghGr7eLmgqysf5Y4ewb98BHDt6DG1tbWxymI0Vd97JP6c57POg+B7/tbfgc6BfKVOooLJzhL2Dgr1ve9iqHeHg7Ac3v0mIj/RHrIcG+vpiVBaWoLxdizbzawU3hwRdYU/AOR6R9KH76dFTchHlRUWo0pnQaz6D6GnrQkUWm63kKvhPDIa9M5tuRwhlbNNG24WLFmL9w+sxb948xMbGMvctAA7mQDbNxCHMKgpnA2g+E6X1Dz+M5EmT+D44YSWNEJmKHTZQsct2+copneHkG8QEKRBBvi7c0i3JvYQ3N2zEG29twP59e9HV2cmv+ZNPP8Wzs6fPmHHFTv9b8jnQr2TKZDQaKFXpKpSwc3CFj787nNUmyPR96Okxol9jflpwU0gyPidTuSM0OhxxMR5w6ixCc2kxsiv1aOKxZ/LdW9DR046cWlfIlK5ICJXB9QbsZspFopgRHRQkHcxNou/lioFLQ4+pbFQ83kTQczQgKL4kROlGuOqasWsok8n59ezv7+O7+t/ZsAEX0tL4qigtOgQFhyApKYlPGDRJ0Lm3BvZ72XtRKWSQk6UkU0ChsgX7/yr60dfRivraDnSYXKB09YGfiwJuI58XBcMgSVGimjoO4VEIjQ9HkE0DdPUlyMxtQ10LPUc1I0rQ0dWGIkMYFA7eiHMCnG5AH+jmHjrjDkLL/ybjgEtgZF8pvqQ3r8YJRp/BFc70C+l4e8Pb2LVzF3p7+3jahaeXFyKjIpmLHQYnJ/ZB30JMBi3Q24Oerl70s3tAq9dA092Grg5mLen6odNqodO0QtNegJKKehQ0MLfOJwrBMTGI8rSFl/n3CG4OaYoSCYxXDJwikpDoD7j0VKEgPQ/VTX2UZsns+3z0NjejJyQBNl6B5PCNaMVNcHu5MgZk4tnZ7zAx+vvf/oaysjJ4eXlzd41ieTHMOlI7qAcmilsZw9P1Qttcisq0dKSfzkJhUwtKK3NRcHgzDu3ags3bv8SuL7Zg64fvY+PL72L7+TYUe8zF9DXLsW7lJIQ5qEYc0xQMj0QtJVIlf6i9IpEY7YEAu0605GWhsq4W5b0aVBc0oatVC5foQLj6MXN+4EUCC2HQ7W1saMD586k4cvgwvvxyFzIzMhEeHo5ly5dh8ZIlvOwIJawqmEWrv9WiZM7S18vcYOcRhfjZczFlWjwSfJhbZkP79Ew8idZoksMkc4RrUAKiZy7AnFmJmBrjBDeVuAtHC0l3MzF0VqLj5BvY8VU+3k93RfJ378es+fGwYTOWydYZsrsfQYKvHaJGOcOfZuU3X3+D58VQYHvd3evg5+cH5Wgn51kxtHl225atOHvmDIqKilBbU8Pzw7731JOYP38+Lzuyf98+vvJG8b3Jkyezz+Huy7G9UYcNAxNVMNBrmauuZ67bgABRxji5+RTGGtigyx6nAwrIFEoeb1Qp2fPmXyO4eSR9LRX2znCPT0RQhDf8jVVozT2F1LOpSG91QYddCKLcVPAVW44sDio1suHNt3iFz9TUVFRWVGD6zBn43ve/j9mzZyMgIIDvZ6NFhcHUi1s+c1LAXa6E0kYNO9ot4OIKV1f21ckBjg72UNvbw95eDXsHRzhQgTp6XG0LWyFIo460r6fKDgidAP+IUMS590BbdB6XTp1DucIbOp9oBKlkuLWhT8FoMWiQ06bn9997H2+9+SYKCgr445SI+uBD63l2dkhICD+PIIuFXD1+mB8TjH8kLvJkqkfC2z8ck+PYzNTXhfaKdtgH+cEtOgi2cnGrSpWrowJdXd08K/uPv/8DUs+f56kW5K7d/8AD+O3v/xezZs8yn/kvDMxKopU5EidyqQXWgcRFiUTHHq7eAYibGAxPVy/YGp0RHOKOgGA5FEKUJMtgMJs2rZaXleHc2bP4cudO7P3qKx4XmjlrFuYvmI+Vq1fypFWqvHA1Xl5eiI6ORlR0FM+iv3X5SQIpYRGfssrdAwEpyQhMmIaQoEQkBzggUs3evNAkyUMxow8/+BCvvfIK76NHhfup7tEz//YDPPzII0hISDSf+XVSJqfg4Ucfwfr1DzMRmzlsTplg/CHp1bfLGJuY/V+ME2c1KG92xsyl0QjxpjJgA7bUaCP51TeDFob+TnS0NKClpQ2NHVr0m1SwsXeAvQ0TcZkBfb1GyO1c4OQXDF8P9ZhnG5eUlDDr6BwyMzP4zv6iwkJERkVh0ZLFWLx4MRImJMLebuSZPXS7DlphgvGJZYgS9EyYNOjqNkGrk8PJ2Q42tzAvRPKipO3iPcrKcs4gKyMbx7Ma0Wxyg0tILC++76HsRXN9FwzqAHgkzUdKUigmh498w/KNQrcUJUK+t+ndAeuG/Wxkx/ee/D6e+cEPRr/ukWBcYSFOOrux5Q5MjBzhwWb9WylIFoFSDaWzPwIjAxAR5gxVeyt03QqoQmcictoKLJg/HytneSPKthT5uz7G7l3H8GVeL+qG7mi+RWRlZeFPf3wBe/d8hZ7ubtjZ22PGrFn45a9/xfuvCUESfBsWMbopV0U3uAJjCYbdrUaugMLBE45hQQiN8IW7QgFHGxe4hqcgMjkG8ZNmYfK8eCQFMauv4BiyTp7FwbRaVLXdmm3s9LlQaZHc3Fzs27sPH3/4ERoaGjAhKQkzZszg5WpplW3ocv/1QJ87/W466HuBdWARokQrOHW1tbziI23UFDfoIHKYmEDJ5bKBcq0GPfRa81OuMXALi0VioAIOXVUoy8hBVXMHethTo3H1hnr9vLPI7j3450v/4Lv8NVoNF6PvPPFdPP3MM1i0eJH5zJHR39eP9rZ2tLe383vAIiINgpvGIkSJOozkXrqEixdz+IbN/v5+8zMC0+XkQjZgTUbq9WjGHXYuHvBykkOl60Fncxt6+7VUY2FUoH+zg4nFieMnsGf3QGeRE8eP89rmK+5cgZWrV/Fl/5jYGL7iRoxUVKqrq5CWlob0Cxd4HXVuKQvGPRYhStR0kAr2nzh+DOkZ6bxou4AgITJ/ewX0oBYGnRZaGsdKG6js7WGjVFzRfOFmOXv2LP78wgv44P0PkJ2dxUWDWhz913//N48fDVaGHGSkq2aFhUU4eOAADh06xCclIUrWgYWIUhPv8U9LzNQGSYjSMFChNC4+9AMTpe58NBVfQk6lBp123vCPjYSXqyOvIX2zH3pDfQM+ZEL08Ucfc8uVPg/ar/bU00/jkUcf400WuPU2QhG6GrK6qI46HdSbT2AdSFqUyNynFZy62jpmyleiuKQEJcUlvOSF4Ep4PKmvC31Mr/U9jWjPz0VlWT1q4QfnsFikTI5EoMeAG3WjaPo13GrlG2rfeovv8KdOL4mJibxU8PefehJTpk4xn33zKBUKXrKYDpE4aT1IWpRohsy5lIPS0hJQBUg5m3l7enr4Kk9xcbEw5yl1lP5XyKDrbkBzwXFkHv0C+77cje3HG5CnjUHc3U9g3T1LcE+yE4KcR2a5DI0BkTWUmnoer7/6KhckaksVERGBe+69B//2ox/iwfUPwdnclkoguBkkLUr9TJSys7KZAJVwV8DWxpbN1v38Mer5L1bhroK5cCQ7cqUtVG4R8I2ZihkL5mDmpEhEOitgP8JPm645bYilCYAKsVFsZ+9Xe1HKLNaUKSlYuWolFi5ahFmzZvHkUkKskAluFkmLUk9vL3IuXkRZaSm/2W1sbXhs4WJ2NnIv5fIBY90wAaD/DSaonHzgGTMXSXPX4I419+GB9Xfj3pWzMDfaBX430YyMlvvfeO01ZiG9hgP79jPXuRExcbH4j5/+DN954glEx8RcbrhA3GwcSSCQrChpNFo2IKp4K21qsUPQzU/WEfX7r6muRmVF5eX22laLWQPkVKCM9yiTQaayg8rWDnZ2NrBRym+oxz0V8ifraOPGjUg9n4ryinJ+7VfftZoXY0uamMS7wIhYj2C0kaQokVVE1QgL8vPR1dXF900Rg7Ow0WBAU3Mzt5hItKwas7dkovrRvJTrwM83CgkPCX1hQSHefmsDNn/yKbdO/f0DMDE5Gd978kmsXrOGC9KtRjiC1okkRYnEp7ioiC//U7D76tmY+sZTdjet/lQy98J6UQ70KOM52kywFTbMmhx45nq5OgZUVlbOt4m8+Le/IZNdf6pztGDhQjz19FP4tx/+O6Iio8xn3npoIYMEkQ7hqlsPkhQlytim0hdULpW+HxqzIOjnTubS0SpcZWUFX5mzNozaXqC1Gc31zWhnwt3R24m2hlq0tOqg1V//quSg9Ul9+tPT03lW9q6dO3mmNhVWW7J0CT+WLV+OCRMm8LjeWAWzyRrz9PSEp4cnHJ2cbnu8SgTxxwbJiZKJuQ9NjY3cAqIOFxTbGA4Sq6amJh5Xqq6qsq7Ykq4HutZylGdlIys1F6Ud7ahqrkFp+klculSA3NoedPNU7uuDLJHt27fhtVdexacff4ycnBx4eLjjie89gR/95CeYMXPmFZUhx0ocKAlz8pQpSElJQWhIyG2vPElW+7XuR8HooXieYf5eEtTX1fGWzbTniQLaXt7esLWx4TcEmfDkyrl7ePCSqiRM9JUOSuIb3GN1s9CMSO+BynDQTve4uDjenZXa7UgCvsdNBx2VmbJxg5NfFMISJiAhNhKxId7w93KCi72Ku3bfBlmbZBkdPniIi1FbaxsSkyZg7d3rsHTZMi4MlLx4O6wUhVLBxdCbfbZkMamZ5XQ73kd3Vzfy8/Nw8uRJnD93jlvxdB/SexqKtqkanaWXUK2zRavSAU7sdrmRRQZrR3JF3jIzMngd55KSYjaD63iAlSyiS2zA0IxOzQkTmRtBsyYFw+nmiIqOxmOPP8a/jgYUy7CGvm/Ue+2vf/4Ltm/bdrmlEfXqp1K1a9etM58lICE6fOgwjhw5widN2tNH2esPPPig+YwBWs7vRtnJw8iOugeqhFlYHQi42pifFFw3krOUyDym7QUkPLNmz8b06dNhr7ZHS0sLPJmFNIHN4nesuBOz58xGQmICQsPC4R/gj/CIiFHrNS95S2mE0N8z1MKgeNzpU6fx4QcfsMF2CD3dPZiUMol3pb1r3Vp2zWfwVtnWTmlpKW8FRYJEkyKtBlOcjcRo5uxZvGHmABQ6qEPVheM4d/AsLvQHotchGCmBtnC0EabSSJFcTMmDmcTJKSmXM4XjE+J5cXmyVMiViImJweQpk7lYLFq8mLd4pp7zw3XDEAwwKEhaJvjV1dW8FMjuL3dh65YtfBKYMWsmFyTa2U8BbU+vK90Sa4PCBFS0jvK0KCXiCBMlKloXGhqKpex+u/vee3iXlcuYepmPV4imxnJcqmlD0aVSVBeUorlPbCK+ESQnSmq1mvvqQ8umUhCbXCqD0cBvGHLjBiELhmYve/uxqkBtuVD5l/c2bcJbbwzM/mRBkRD99Oc/w52rVjKrM9R8pnVTUlyM3//uf3mNcYPewGNbfv7++H//89/40Y9/DHd3d/OZZnq6oc/LRnN9I2rkarTXVKG98BKKuzSw8iy6G0JyokSxoqvzkiihjwaQyWji31Py5CB0PgViRU+wa9NQX88LsVGs7vTp0zz/iDbP3nPfvbhz5Z1ITk7mPdauvu63m1bmspeWlPJtRk2NTfyzH02GhlMNBiNqampw6uRJ7PziC24lUUWEuPg4LF9xB+5aexfmzJ3Lr9vVKSr93Z0oy2lBv0yNwKnh8FJ3wFCdh4KKLpSLKjsjRoxkK2Dv3n347W+ex1d7vuJ710h8aGXt2eeew9Rp08xnSY+ioiIcOniQW3W5uaNf5G1onK2urhYnT5zEhjff4nWiyDqnEMHyO5bj33/4Q7615uuruySS7ejsakNmkR1kHtFYuG4KJkUY4dBZisJLjSgtZ5OoSG8aEUKUxilkVVBg9o3XXscuNvPTCiYFuMndXbZsOWbPmcNX3KRMW1s7z1erqqpES0vrqFtKBKWabNu6FRvfeYdbkhcuXODit3bdWjz2+OOYN38+wsLCzGdfaV1Ragb6C9HbVo0iWSgMXlORFJWMqRHOCFa3oi6/gFl5NegQse4RIURpnEGDpquzi2/TOUwbatlgKyws5EFaEiQXV1fMmTeX7+6XOhSYp72PXd3d0GhGty47XScSOUpB2fzpZi5MWex7EmpqenDf/ffz0iwRkZFXuLVX5EkZ9UBVMbqaGtDhFwVlwCQEu0UiOdIf0X6ApioPNWWlqO4zYQy6W40bhCiNA4bO3lVVVTwZ8vXXXsOWzz7nqRQJCQlYvXo1L1k7uI/MaLSAAnls/JMIXCEEowSJ3asvv4I/v/AnHrPqZkJOG7/JOvrVs89el2gbjTrU5DajqbYfAZPC4RfrDrnMC2HxMUia4A/3rmK0lpcgu96EJrF177oRojQOoEFLLYjI9aBWRxSHOXLoCBekhYsW8mX+eCZMZCmRIHFRMoy+KzTaUI+WQVEaLWEiMSoqLML+vfux+8sveS4aJYxOnT6Nd2GhGFJIaMh1uLYaGDR1KC3vQHl5N5T6RvS2tqO6ogLNfQpobB3hoKtHT0MFLha2orHN/DLBtyJEaZxAbsizv/oVL1VL20W6u7t4QuRzv3ke6+65G7Z2tgMW1RCrytro6+vlSZCUqf+Pl17k8SqKF82eO4e3E3/2N78ZgVtbB31nHkpbdSis6UX3xRMoObELB6k6Z3YDMlvk7Jr3wdRdj/zMYtQ3dJhfJ/g2hChZOGQN0Yz/0Ycf8RpIFCehxL7HvvMd3lkkOCSY77a39pSJjPR0Hjva+cVOHD9+HLW1tZg2bRrWP7yeWUd3IHnSJJ4jR1wRzL4WDbXoKS1Bt3c0HKYsxZSkRExLiOJVOWMmzsHEybOwOMUXkepOtF7KQUVdM89ZEl7ctyNEyULR6/R8w3L6hXS+wnZg/36e9T5t+nSeV/PDH/8Ii5cs5udS5U7K8aL/rBHKP9q5cycT7g+xf98+XqYlNjaWZ2Y/tH49D2yPtApCZ2UjGgpaoQpPQvjyZczamo0pU2Zg5sxZmDppGubNmYfl8+OQ5GOEvPIiKqrqUNDLrDXz6wXXRoiShTB09u7r7cO5s2ex8e138DZz1/Lz8hAcHIzHmXX03SeewJKlS7+WdcwFif7nLpz5QYlDb3PQ5bzRt0xB/+efew7Hjx1DdVU1mpuaeZzt+d/9FnPnzYPDiCtLUCyuEbVtJuTVeMHf2xkTIoCvbXFTO8MlORmhUR4I1hejqbQGmfkGaMTOk29FiJKFQLM3uWa0d40GGHUWoSxtqs5JcZCVq1bxgPb0GdP5tpsrYSOGjWp6PR2WYzGxd8oEiZdDpuM60TErkrKxqbb4rp27mBV5AN3dPXwbDW3kvnPlSp40ShUnRoTJAFNfNbqqUnGxsAYXahXQaXVwYqPoa9W8qH+6gwts7JVw0NehMT8HWWeykV/eij49fQaCayFEyYKgBMgX//Z3/N9f/8rbWVOg1j8wEP/5//4fL1VL1RKuBQ0Cvoolp5Us+oE/LHEG3i/1+xvJ262rreWxo//97W9540zazZ+UNAHrH3kEf/6/v3JLcsSQyOhb0FaSiQs7duD0ufM439iE3NIm1FR1c6H5FyYY+rvQyly8pqYO9Og1aMo/g/yDW7Dn1CWcKWmHwSBk6VpIrnTJcFBMgFot0aDy8vbilsFoFXQbDpqdpVS6RK/TITMzC19s38FjImQF0F61qdOmYiWb9alcLQVprxXMJstIIVfwciQx0TG8AYCPjzfs7KS9idlg0PNkT1oho9I0ZAF+U8CexIhau9P+Ndq7RuV96bVUSWIOc9WoDA65uTcU9OeqqIeeWUY6nRIqz1D4RcciMSYEIcyFc1WroGICehnaPG6QQ2bjDhe/CITFxCI2LgIxMeEI9nWHt7MNF1vB15FckbfhOM9mpU8+/ph/iFTKZNXq1fD5mosyekipyJtBr0d5eTn+ziwkqn1E1RBCQkJ4mdi777mb5x8JBgL/27Zt5c0yKZudFgFo4npo/UPs87ubWZEBkttwLBge4b5JiKvnB9ohv3XrVrz8j3/y2Z+qIZAgUxPIu++5B5Fj2FlEKgw3h1Jc7bfM4P9882fIvXQJ5WXliIqKwn//4n94BU0hSJaFECUJMbgUTX37Kcnv5IkT2PXFTuzduxd29na88B3txyJ3hCxG6ixibRHTwWtEfzZtpqWmEfvY9fns083Iy8vjmdh0bSjoTxZSSGioECQLQ4iSBNm2ZQv+9tf/w6effMK3jlDBuye+9z38zy9/gaSJE68saGelYYne3h6cPXsWv/vtb7F1y1bmWiv5pmOKr/3hhT/i0ccfM58psDSEKEkIWk3b8vnnPC5ChdiosD/FjB586CEsWbJkVCtsWkAocVhIjGgbzf59+7Hny928Px3FABcuXMitSFpZo3jb4EKIpf6d1owQJYnQw1w22tX/x9//gQ86yjCm5glkIf3q2V/z1afRZNANsjTycvO4Jbnp7Xd4Fju5ZnPmzsHj3/0OX/KnHnVDsdS/05oRojTWXDVzd7S34/SpU3j1lVf5HraO9g6kTJ6M+x98kG+BmDb95itD9vX28vIc1I77448+4sXeLIH8/HweT6OuvVT9gAL+7737HnfbLl26xK3G7z/5JB559FG+beSK5hHCQrJYLESUBjN7LSkb+RqYZ25yOahDRkZGBs/MJrFoZD9TpxbKzl63bh0WLFzwtYaHN0Jffz93Db/YsQM7d3zBy3dYAtT0kcqwUEb2tm3b8M7bb/O0iPa2dt58lGpmP/rYo7ybjZOzs/lVZoSFZLFYhCjp9Qa+0tLX1w+tRjuw7cDCoS0Q1FXknQ1v80FH1suKlSvx6+ee5RtpKUl0NCFR1+mpq65e2lbEkLdGskKWIy3502qkhokrJbFS0TrqLPKz//w53K7uLCKweCxClDw8PbgFMZm5NVSe1F7itaW/CRKfM6fPcFft2LFj3EWhdtQr7ryT5yDR6hptpr26Y8ZoQJs1BuwHCVsR5rdGHVgqK6u4NUnVNMmynDiJGmYuxtLly9nXpTyhVcSMxh8WIUqRTIioTCkt81IDStp6YKnQZtpf//KXzI3agW7mRvn6+nFXjZax582fZz7r1kADmA9iiY9jEqSDBw7i/NmzqKmuRj+zkGi7CHWmffKpp3kmu5PTrdtmJLi9SF6UyO0gq4GS4uignB0aWJa01EuzPMVHqHUPFRqj733ZLE9JkA89/BCW3bGcl2S1dqit0e5dX+JN5tbSylpxcTG/dtQZOSkpCSmTU3ipWp4MaehGT30hytIP4eTebdj62Wf4fNtu7Nx7BEdPHMexwwewn/2ufUfScOpSAxr7TbzoiED6SF6UrmWeW4rZTrEwWvk6cew4Nrz5Jpv9zyE8PJz3Xbv3vvtw/wMP8JUja2ZwgiFXdtOmTTzon5eby68dlReJiIhAVHQ0/P3NVRCotVFfFzRtlWjIP45z+z7H5vc+wKc7DmHPiSxkZOcgJysV6acP4eihYzh8PANZZS2o0wJ6yw9Hjnsswn2zJIZacLW1NTynhmb+zZs/RVlZGZKSk3iQ9t777+P7s6xyC8RVVm5PTy8++uBD/OmPf+Sbae1sbeHl7Y2YmBjEUoUGWlkbOgfRhKT2hrN/OOInhSHY0w42bb2w94pHwMx1mL9kNe5ZuwTr1kxEtKoUzcc3Y8vnx7DjeBVatMJekjpClEYZsuDIDSkpLuFZx/uZG0J72KjtNGUar16zhgdqaUuEvbkm9FhBgslF83ZbC2Yrl/b4lZWWMSuSCcaOHThz6jQvyUJL/RQ7TExMHAj6KxXQG6gt1KCgsNfLFVC6eMI51Beebg5QG5hOuQXCMzwEUTFB8A2bhJgpKYj1AVzaLyLvbDpS08tQqzWIHmwSR4jSLYDaTf/muWd5X7GC/AIuVFQH+ne//1+e6Ke4TUX8L4vSbVKloVYkCXdmZgY+/PADvPTii7xeVkBgIN8q8uTTT+H7Tz3JrSRqHUXnDv+WzSIlk7NrKoPMqIeBnarV0IMq9n8UAkNCkBiuhlNHDTprKlHBLCXR7UjaCFEaRdra2ninDMqcTktN40FaCtBS+QzasU75NbejqwiJolJBRd6YRcEO2W0SxcE44MXsi/jko4/53rVjR4/yPmxUTO9hJthUCSGBWUjOzGVzcnGGLXPlBhc4hof9TvZ7+a/+mhVox/5uGRQmHXTsOT07V8nOuz2l+gTXixClUYAsABKki9nZePO117Hls8/4htA5c+bgnnvv5bP+4qVLzGePPbR6SQXyyWWk49oD/NZDm4y3Upzt9Tdw6OAhNDY0IjAoEA88+ACeYhYSVcUcjLORGAUEBvAANwW8hxd0sv6u1KIBg4xZUcZ6tLR2orFLCZmXH9z9fOCrlMOJnyWQKkKUboChbgi1waYCbB+89z42vbMRaWlp8PD0xJNPPcU3iVIc6YrOIlfM5GMD7RELDQvD/Wzg3//A/dwKuR3QHrbf/+53OHrkCNra23hmPllGzz3/G8xfsOBrohMTHc071i5btozHl66dUDpwUZkXxw0no64XhsZMFB/djhOZTcjUxSF23lwsmD8BoXZMoPnZAqkiROkGGHRDqBEkbaalbSJf7dnDBYmyjKm54V3r1nJB8vS6au/awEvHFLKMyNIgV5LcJHKJhgrrrYRahFNpWrIiqbPI9m3beZyI0iCoZvbK1at4uZHh9vh5enkhKioakVFRvPzxtVxf/nmYjDD0d6C7qQq1henIPnMax49lo7jHFcrY+ZgxNwWzk3zgqRK3vNSxiBrdYw3Fgq6u0U3JjkPdHtrU+sIf/si7ZdDAo5/pnB/+6IdYsHAht05uxVYRS4PSIGj18as9X/FStbSCRoXY5i9YiKSJSdw1I5G8MdqBvnM4+sFebN6Uhs6ERXCNDEJMx0nU1vYjszMcU9csw+IVMxDvagtPW+qMYn6pQLKIaeNbMfGZeFCQaCWI2mN/tnkz75hB+7LIGiL3g+JHs+fM4fEkaxekxsZGfn2o5AhZkufPneOlRdYyC3L5ihWYMXMG3zoyKEg3NzfSa+VQ2LrAwc0H/kFe8HBij7bWMmu2F019NrCxEYJkKQhRuk54jgy792uqa/Deu+/iny/9g1tHycnJvNQI9V178qknR97gcJxCe/zI2tz86ad8l7+DgwNvAvmjn/yEW0pUemQogy7xyDHBRD3UZCrY+8QhZNoKLF2/HmuXxWOWcyHq0k5h5xcZKKjtMUeeBFJHiNI1GKzbRIOJBkxRYSF27dqFDW+9xRtBajUarL5rDb77/e9xd422jgwiNY+YSr+QgJaWlKC0tJQH528VtK+PGmZSZxHKziaLiSyin/3857x3PyVHUg+664EK4FVXV/GuwBSXGv66ysyflGygcaWNEkrnOIQnTsLSxeEIMpWh8fQ+nM5tQnY3P1EgcYQoXQM5X8oZKDVCA/nUSZpxv+C96UmQZs2ejXvvvY83g6QqBkPjTTc+698adDotWppbeCCemmzSrvvRhMSCfid18KUibO9u2sRL+royqzEmNoYHsmklkrbVjAQqW5Kbk8v3wdXW1vJY33AMXG42jRh1MOiBfqMdFMGJmLx4DiYFGODelIqsjHycyetGm+jlL3mEKF0DlY2KD4Ijh4/g7Q1vY8uWLUhLTeVu3MOPPYrf/O63SJyQaD5b2miYiNbX1fEqjnTQ6tfNMtRqofridG3+8qc/89SI/r4+xMfHY+3d6/A/v/glHnp4vfnMkVFRUclL354/f55bef/aZjIIs7jkcihkJlqxYepEP5uTI5VBsI26AzNnxmFpdC/aUg/j3MFTuNjJJhr+WoFUEaJ0DcjFoIFXVFw8UPWQDezo6GisXrMad6xYwds/3/iq0dhC4trb18vjYTU1tbyb7M1C1iBZR/l5eThy5AhvJ07lRqhSJAX9V6y8k7u1FNCmXv7ESN1a2htH7h8dZLFe8XpmEuk7GtBRWonauiY097Fz66tRX9GEmsY+GKEE7EIRkTIVU2ZGI0hbhPaMAzh46AyOZdWisqEDXRo9dOxXjexdCW41QpS+BaNez1eN5s6dg2f+7Qd47vnneSKfJUECQjk+tna2XEgp9jIaFBYU4IP332eW5Aa+5E+lRmbOmokf/+Q/eEE2spaGMlK3llYwqSuwjcrmymoKVLqkvxmdNSXIS81FUXkDGk16NFQXovJiGvKYMFW1MVeOnaqKmI6wBXdiYawcAW3ncPSTT7Fj6yEczaxCWbsGffTr+C8VSAUhSteAco/kbBDRPizqtko7+6nLyGj1XbsdUDHc0ZAjslooJWLTxo3ctcrPy+eC8/Ajj+DRxx9HVEwUXyC42X1+l9/r1940e0Clhp1HGHwTlmHuuifwvZ/8EE89vAx3zw5FrL8TnGzl5pe5w9E/GVPWPIx13/0OHr97EVbMjkN8qCe81CrYDPw2gYQQyZPDQO4OFfWngO2dq1birrvu4j3YLLX2Ea1cZWdl4ZV/vszF46WX/4mAgADzs9cPXRcTs1JOnTjFO9NSjpa3tzd3q2jP2q+f/TXv2z9aUMtycg2pdAnVZ6dNzZbiMgtuHGEpXQMaaDSAnZ2ceanam531LZEr5ysTKisq8Pqrr+MfL73El+mpY+/cefN4V5Gf/uynPKNdILhZhCh9CyqVki/3f33lZ/wzGANqamzEhbQLfCWS0iIuXryIuLg4XtKXuovQXj8qV0vCLQxvwc0iROlbMBpN5mxu6xxs5Prt3r0Hb7+1gQe1y8vLeb7RYCE2qhI52LefGGkwWyC4GiFKVgBZLySs/RoNT20wMaG9Hk6eOImN77zDc5vOnTvHXTZa7v/uE09g2rRpvCIC1Ty6VegNBp59TgctPAisAyFKVgBZLxSkd1CroXZQf2NKwKD7VVFRwZf6N7z5Fl/6NzKBoO0i333iu7jvgft5Yf9bDbnOtNppb2cPlQ2tkwmsASFKVsBABcdArFqzmnfhHepuXR0DooTFnV/sxF9e+BMyMzJ4nlBMbCy+w6yjX//mOb7KNlaEh0fwBp1z583lnU1EKRjrQIiSFUDL6LQrf978+ZjLDvWQLiqDMaC+3j5UlFfg3Nlz2LFtG/bu3csrVM6lziKLFvE64/PmzeOCNlbBbCqTO2XKFN6Eksr4ClGyDoQoWQG0KkZCRAXV/P38hs23Sk1NxUcffohXX36ZCdNZXoKFSudSSZY1d92FoOAg85ljF8wmASQ30cvLG85OTiKIbiUIUbICaDCTMFFqAx1DBzeVZPnk44+xZ/dAZ5HsrGxez5sqblLvtYTEBLh7uN8WK4XeMwkoHXJhJVkNQpSsGFrRou0if/rjC3yFrb6+Hq5urrjvgQd4QmR8QgITMHGLCMYWccdZKenp6bzUyMEDB9HT08OtIdrj9z+//AWW3sZ2UN+GSM4c/whRsgJoIOu0Wl7JkcqXUAH/vXu+wocffMD71SVPmsR71FEHlvvuv5+v1EkBqjrQzt4z9YqjGlD0d4i40vhHbMgdBtp4enU3E0oUVA6pLmlJUN2jqspKfLHjC14vm/qtVZSXo6mxCatWr+K1jyIiI/leNilVQTh75gx7v1mQK+Q8i5yaMgyt8CkYnwhLyQqoranB4UOHeaujM2ygn2JfiUFBmj5joLPIoCBJZZ6i4m75+fkoKChAXV2dVe4/tEaEKFkBZG1Qq+z6uno4OTnxZMoFCxbgV8/+mtfPpseGIhUXidd/Yu9l8BBYB0KUxjFUbJ/aQe3Yvp0LUmdnB/z8/fDUD57hW0XczWVqpQrZa2S18WPgIYEVIERpHEKbbml3P22opdgYdTGhpX6ZXA5vbx++oXYst4vcKGQbXbaUBh4SWAFClMYBQ2NAXZ1dSD2filf++U9seucdHpehFlALFy7kW02ow69B7LgXSBghSuMAsiRIbKgRJHWmPXTgAPbs3oOqyirMnDmTd6SdkDSBN0DQs/M0t7AZpUBwswhRGidQw8w3Xnsdb7z+Ovbt28cbQ06clIxf/PIXPPeI2hzRVhGxgiWQOkKULBxKMKQ24hTQHizERp1E7r3vPjz2+GOIS0jgm2sVSiWMJiMMFlRFk9xSElE6pJKmILj1CFGyUGigGowG5OXl4fXXXsOWzz7nWdtBwcG8pfi//+iHvHY2uXY95mxouVwBJW1stZDldSpGR9YdNQYdrV51AukjRMlCGGop0PflZeV4f9N7+MeLL+FSziV4eXnxAm5PPvUU7782tIUS9a+jTGgq/0E5SZbSmcXGxpZbfXTYsu+FLFkHQpQshMHkwbbWNmRmZOL48eM8/+j0qVO8hThtpqWDgtrRMdFXlBqhUrLu7u68WFpKSsotras9mvj4eCMuPh6xcbG8FpQoX2IdiL1vwyDVvW+0m//TTz7F+XPnUFZWhrLSUv6+fv5f/4XZc2Yzi8IR9vZfFxxy9ahMSU93D/vEwStKWkIVR9qzR00DCLL0SEwHxVkwfhGWkoWQczEHH33wIQ9qU+3s1pYWTJ8+HY8+9hhmzZ4FT0/PYQWJIHeNam27ubsNBL2ZIFnCXEQiRAJKB+3LE4JkHQhRsgBamABR3/6XXnwRRQUFvOZ2bGwsnnrmad5/jeJJI0UMcIFUEaIkIa62XqiOEFWE/Ntf/48nRRJTpk3jLiUJEtVBEgjGG0KUJMSg9UJxlJrqaqRfuIAvduzAti1b+ONUT2j58uW4a+1dvDMJuTUCwXhDiJIEOXv2LN577z28+cabOHb0GE98fPChh3jd7PkLF8Dbx9d85vUzdJ89WWQWsb5hfp8W834Fo4IQJQlRV1uLPV/u5sfxY8dxKScH3t7euOfee7H8juWIi4vjS/sKBX1sWmi729De1IjGpja0dmnYI8NDVQOodAkVejty+DAvLWsJMaXKqiqknjvP2z/RaiOtigrGP0KUJMSO7Tvwm+eew/59+/jqGhXzv//BB/Cb3z6PxAkTzGcRTH76WtBSU4rygjzk55WitKoJzb0maMxnDKW3p4e3UnrrzTd5G26q1W0JXMzOxhbmum7ftg1paak8rUEw/hGidJsxGU3Iy83Da6++il07d6K5uRlBQUF8i8jTzzyDJUuW/CunyNgHfc1ZFJw9gi/25+FSvQE6B2c4q/uhq81G1pdbcfhkDs7W6tE9ZPxSTW6qIkBF3jo7Oy1mU65Go+VtxCm/StM/nNwKxiNClG4TFCPp6upCcXExDuzfj7ff2oDy8nJMYBbR4iWLcc999/JVtrDwcPMr9NC0VaIi8zQyUjNxvrAdzUZnOPkGIMDXES6mZrTksufOpuFkRgUqWvsvR5FomwkJm9pePZDvYyHbTFRKJc9VsrWzFQ0DrAghSmPI0GAtCdCuL3bi1Vde4fWzqZXQgoUL8dP//Dnv2x8TE2M+k2Filk3HBdRfOobN+zpR2BuMaatnY3JKOEI93eHmHY3wlKlYvC4FwYZyNO3ajNMXa3ChG6AojFJ8ygILQtyuYwgFl8kduZCWhr1ffcWzs48eOcItJmqRvXrNGsydNw/BISGXO4sQJqMGfaUZKL+YjYxmJ/Q6hWFCrA/CXWxgp1JCaWMPO49w+E1MRpiLFo4NqcjJLUVGqQ46pmdKhUiUFFgOQpTGmHNnz+KXv/glNr2zETk5OdBqtFyI/vcPv8eKO1cMlBa5CpOhA6XZBSjIq4EuMAyuQYHwY49feaYtOyIQEOiK6OAe1BUXIT+zDAamSpawz00gGESI0hhBlSApkL35k09RVFAIpVKJickT8dh3H8d999/HN9YOjwYmfQua6tvQ0KyD0tkNDq7OGH6Xmz2cXRzh6aqEtqUJXXUNPKhtKTEkgYAQd+sthpax29vakHr+PF7558s4evQoApmlQ4XYqE32j378Y8yZO9d89nD0MfetHV09OnT3KXjQ185WheHXz0xQ2dgx108NhaYP6OmkQBb5jeZnBQLpI0RplBkazKb4EbWe3vDWBmx8+x0UFRXxWkfP/OAZPPLoo5g5cxYvYPbtUEYzlYSlyiMD/w2PjFcEkJsj24NvhWdEGwfSAuiwlOxoKt1Lok6HSJy0HoQojTIUzKYBRHvXTp04iUMHD+HLXbt4/CghIQGrVq3CHStWIHlSMi/mT3yzSKjYp+QAtb0N1LZGaDUaaLRMWMzPXo1ez4SHPS8ja8nBkb8fXnnSRgU3V1e4skNhIe6cna0tr5TJu/oOCfwLxjdClG4BNTU1+Pv//Y2XGqEVtqqqKoRHROBXzz2LJ77/fbgwYRjKN2/5cIBM6Q1vT4oVGdHd2Y7Ozu5riJIJfcw66+rqgdLNE3bevuyXy6FUyLkYJSQm8MOGDXZLwMPTA5FRkYhg187H29tiyvgKbg7xKY8itMcsLTUVH3/4EU6dOoX6+no+sFYy6+jhRx7G5MmTebG1ka6GyRUuCIyLRkS0Pxway9BVU4Vq5s1c6dBQlKka9Y29KG90gX94KKITqIQsEzyFijeipFU+OtRq9cBLJE5AYCBS2DWblJKCkNBQsYpoJQhRGiXIZaPea9RZ5N1Nm3jsJi4+DkuXL8fP/+s/eTH/G81Klsnt4T4hBdHJiQjX1gIN5ShoM6JpqLlkagHa81HVIkO1LhZxCZGYMsEJKiUTJZkSXszSmDlrFmbMnHlFDpSUobrcEydORFJSEt96Iywl60B8yjfA1TGgkuJifP7ZZ3jtlVdx7uw5HgO597578fh3voM77riDF/Yf5IaCzDJmIbhOgG/cbKxbGYx492YU7T+E1HOFyK1qRH1dOSpzLuHcsTJ0OEcidNVaTI31RxwziEiTBAJLQojSDTAYA6LVtZyLF3Hy5EneWeTAvn288NriJUuwZu1aLFm6lMdDhs7w3xw/+iZc4eAXjxkLkzAx2g12rbVoL89DSW46Ms6cxNnzBbhQroIyKAHJiycj2t8RTuxVQpMEloYQpevkavuGlqk3f/opXvz733lCZGZ6BtQODrwJJLlrkZGRox8DUTC3y2sKYmYtw9p7Z2Gyex20aZ9h2zufY+vJetSFzEdgbCymeQDqb/lkLSUtQGB9CFH6VtjgZebGUIGhzbRbP9+CfV/tRXZWNm+dTfWy73/gASxatIgX8qfi/qMPeyNKB9ioPeDlG4zg8EgEh4YhPNgNXmoddC3VaKiuQWVTN7p1xssJlhTvIquugr3vivIKHu+6cYtt7KAyK7W1tairreMbloWQWgeK5xnm7wVm6OanTbNZWVmYkDSBB6zJLaOBTAOFyoxQwTTaOkKVIadOm8qTIdc/8jCPJ40NSti4h8MnKhHJsW7wse1By6Vs1LX2owHOfLuJq4OSnQVo+vv4wD529Civ4BjBrDhLaEhZWFjIC73VsvdO22XoWotg9/hHfMLXwGR22GjwkpXU0tyMM6fP8GD23r17ueUxZ84cPLR+PS81MjE5mZ8/1ijtPeASloL4GYux5M6lWDQtDIleRpi6OtDGBIogV7O1tRXpzMXMyMiwmIJpVB6YLNG8vFzU1Q0Ik2D8I0TpGgy6N+SaUX3rzMxMfLlrJz7+6CO+l40aQZIYrbvnbkyfMWMMLaRhsPWBW+hETJq/ELNnT8C0UDUcZcyd6x0QJdquQd11qyoreSKnTq/jj0sdalFeWVHBBamzo0O4b1aCEKVrQLv4aWbOZu7Dtm3b8O7GTdi/bz8vun/vvffiV8/+GtNnzpBemyOZGgpHb/j6eTF3Z0Aoad8biSzfF8e+WsqKHMXCdMzK42E9C4iBCUYHIUrXgFw2ExOlosIipKWm8VgMtbxeceedWLl6FeLi4+Hi4iLBwcI+UoUt7OxtYWszEJwftC+4KFFMxkIGOIkSuZ6EiCVZD+KTvgYymZwP5pbmFvR0d/Ml/kcffwx/eOGPmDJ16sBJgluK3qDnjTmNVA5YYDUIUboGRjZLkxUUFByEWbNmYe26tZi/YIHoSjuGkJWkY6JE7qelWHeCm0eI0jWgWZpchsTERF6mdtXq1VdsFxHcevS6f1lKQpKsByFK14CXkWWzs7ePD9+trrKxMT8jGCsMbGLQ6YSlZG0IUboGg6vPagc1rw5JQVeLhf0xtJxO7hAdlrK0Ts0oe3p6B6plihwlq0GI0jUYnJfJYrJoQWKQBNHfMVgO97LiSpx+TT/Pr+IunBAlq0GI0rcxOH4tZCAPB5WVDQgI4LExKsV7fXXBbz/Jycm45957sHDRQr41RhR5sw5kzJS33NF2iyDL6M3X38D7773HW2evu3sdb4GktNDW0WRlkNvW19vLf3Z0cpL8AKfbkhJVqSY5JbJSCV+q2imSKMc/wlKyAmgVkQY01QanwxIsDhIfsujc3N3h5OzMqy4IQbIOhCgJBAJJIURJIBBICiFKAoFAUghRsgIGc5QocEyHJSyv03umllVUt4reM09lEFgFQpSsABrUpSUleP/d9/iKYkdHh/kZ6UJB7cOHDuMfL76ELZ9/zkvIkLAKxj9ClKyA/v5+Xtxt186d+HLXl7zqgSWQmnoeH334IQ4cOICioiKLT2IVXB9ClKwAWkintAClSgmVUklmyMATEkchV/AGnpSnJOopWQ/ik7YGmAiRO6RSDgxwS8n3oXwqLkoKJRMocataC+KTFggEkkKIkkAgkBRClAQCgaQQoiQQCCSFECUrgpImeeKkhRSGoARK/p5NRv69wDoQomQNsAF9xQA3Pyx1Bt8zVZ0UomQ9CFGyAmhpXa1W80JvAf4BPC3AEnB3d0dIaCh8fX15B2JRusQ6EKJkBVBxOmqkOTF5IpImTuSVKC2B0LAwzJgxgzf+9Pb2FgmUVoL4lK0AEiF/f38sWboMS5YttZxyuJOSedXPefPnIyw8XJTDtRKEKFkBCuauUQnc8IhwhLPBTe2iLCFGQ25bbFwcQkJCuKUn3DfrQIiSlSIGuECqCFESCASSQoiSQCCQFEKUrADK9aEqjm2trWhra7WYukTdXV1obm7mRer0opaS1SBEyQqgUrLtbW3IyclBzsUcLlCWQHl5OdIvXEBtbS36+/pEAqWVIETJCqABXVFRgc82f4bPP/scXcwCsQSOHz+OTe9sREZ6Ojra24UoWQlClKwAcn1IiEqKi1FSUgKdVmt+RtrU1dYhLy8PzU1N0LD3LETJOhCiZAXQ8j8lHtqr7WFvbw+ZhWRG29ra8ERPlcoGcpHCYDUIUbIiZPw/S8L8boUeSQayVpuY5UpxvluFECWBQDAiqiorkXPxIqqrq3mnHC1zrXlJnFFCiJJAILhuKBRAYnTk8GG8/I9/4I3XX8eJ48dRX19vPuPmEaL0LcjkMsgVCn5YKgqF/F/dQCi+ZCExpcGtMBRPopiY2JArDaj0DS2cnDtzFvu+2ssF6uiRozh/7hxfSGlpabmptBMhStfAZC6FRgOCSmZYctkMuVwxENxmY5yGOf1sCQyKkkxm2dd/vBEaGob4+AQ4ODqioaEBJ0+cxDsbNuBPf3wBGze8jUMHD3FrSnuDrdZlJrHO+jUo43nDm29h08aNWLZ8GRYuWgRPT0/Y2NpaVJdWvmLFjvb2NhQXFePzzZ/xgf7Tn/+M3Vih6OntNZ8pLWxsbHjC58a338bpU6exes1qTJ02DT6+PnwlTnTKvT0olQro9QYUFhQg/UI6zp49i0bmtpEXQZ8X9ejz8/dHcHAwwsLDEBwUjIDAAF5c0MvbG87Ozubf9M0IURoGuuk3vv0ONrz1FiKjIhEbG8tnBXIfLO1ykQj19fXxXJ+szCz+2LwF83lVR7qRpAhdZ/oMzp89x7O64xPi+Y1O5Vcs8TMYL5DbbzAaUVZaxj+XVuamUZB7qBVLnw0vu8wOuseoVM6UqVN5bawYNo6uR5iEKA0DDYi33ngTL734Iuzs7PjFpcEw6E5YGgajAVqNFp2dnfxnDw8PqGxUMBml+dHTdabbsq2tDX3MmiMxovwqajtuaUkN4wq69OyW6evv5wm4w40HEiMaP3q9Hko2ZuzY50aljIPYpDJ5cgqmTZ/Oq59+U0lmIUrDQBd2x/bt+OjDj/jFp3KybJSYn7U8KCZDMSWlkn1lP2u1OouwNujGlSvY7MxucqOBGh6w9yzu1tvG4GShY4KjYcLU09PDxWfwcYKaPLAHuPVEE5+trS2fSDy9PDFhwgTMmTsXM2fN4q7etRCidA0aGxtRX1fHv+dWErvIFjtHyxT8UCmovZIROsNAdxPJ/z3s5r58w/O7VNyqtxOqYGpgIlRaUoqMjAycPHGCB7pJeAZdNgoJkCBRowpy3RKTJiAxMZHXWycL3YW5b2Q9DWdlDSJEySqgvW7d6Ox2BjOq4e448KhAcCNcysnB4UOH8eWuXaisqOALQLQdiEoWe3h6wtvLC94+PggJDeHCFBEZyUMg14sQJWugNx/a1hKcq01AvyoEs+JkcLAzPycQjJDTp07h0KFDOHn8BOqYN0Fx18DAQN51JnnSJCQkJPDVN4oDkrx8k1U0HEKUrIC+wq9QlXEKJ+3ugzJ4Iu5PBuwswhc1wGjqR1VJC7tTlfAL84ON3GKd6HEBuWiff/YZjh09yuN8ZBlFRITzVAAfX1/4ePtwN83O/sZnPZGRNq7RwNhfifJLl5B2KgdFFdWo69KgsVXD7i4DG/JSj9K0oq+1FNk5pbhU3AQtBVEFtxVadGAzBHPV3PlK2po1a3D/Aw9gxZ13IiUlhecl3YwgEcJSGrcYoWnOR03qVzh04AyOZzWjL2I+vGOnICXYBxMSghAV6wdnZnhItl9u00nUFWTijTP+cPCLxb8/Eg/L6Fg3fqHVNtpGQiWKKY5EBwW1R+qifRPCUhq3yCBTKKCyU0LOXB6D1gCZ3AY2dmqo7W1gq1LwD1+SzpBRA31HOSqyLuDcyQvILy1FSVUVCi6VobGzB+1aNjjEVDrmkP1CK2s+Pj4ICwvjXYtJlEZTkAjF8wzz94JxhQwKewe4hHrC0FgPbVUdZBPvQeisZVg71RsRvg6wZTfTtWYlnm5C39wO1eqpRU/5SZw4dBL7TpaiokfOBoQOip5O9CnUMLp4wskGsP3am2dKRQmhozxIBAOQ+Iy2AA2HEKXxjkyDloIcVOVVoDtsAdwjwzAtQAYbusH4CSYYdV3oqilE+cV0ZJxLQ2GbHM0qbzjbAXa3Y+8us+wo4bO/oRy9bc2oUMXANSgOS2ZEIiLUD27OajipmNsp0wO6OtTnncfZfbtx8MAhHDjGvs8sQXGzFl22blDbqaCWrH86csh9qqurRUN9PTo6Ovg+QTpGDVM/u6ZVaGnTorrZHiqVnFnV5ufGCCFK4xo2aNGOmqwslOVVoiNwJlyCI5DoAdhfHqh6GHqb0FJ6ARdPHsPhvadRaPRFv38CItwA5zG+ITlyWygc/eHSVwpVXwMyjSnwiJqCR1dNgL/roCCx87Qd0NdnI+fsCfa+D+N0WhbSLuYj9xKzrlr16LT1gburIwJcVeMmTkHJidVV1Sgll7a4BHr2M7lQg9y0NaNpgqH+HAqqjcht8YOnqwIuavNzY4SIKVk72n4Y+3sBJzl0Khl6Wvqh7dHDJAEPiGIYfB3GfPxrTYa+MkuopRqpBy+gtMUJrou/h7v//cf4j6fvwroJSng0XkDa9i9wNK0QmezP6xl8qYVD2zMCg4K4OH2xYwde/PuL+Ouf/4LNn3yKC2kXLu9vvFG0nY0oO34GBXnlqDSpoBtFI+x6EaJkJVxzTBrlkKvs4OjlCic3R9gxp05lNEFx20VpYNuCgXbGcEEymJejCfprOqHV9qC51wUqz3gkzlmCBXeswp13LsHKpQmY4KOHsTgNZUVVyG1ioiTNgggjhgLNlDnt5OiIxgZmRaan8yJrlMx4hB1H2fdpqakoKyvjq2T9/ddZbM3YD31PKXPzM3D2bAEu5pagtqESZVXt6OjshYZ9EGOVkCFEyZoYTmjsHKB09YGrtx/8vdzgqZbDTkkiYH5ekrA3Z+iA0l4NjymrkTh1HuaFuyLA2QVOPlFIXLEUs+bGIMmhBbJ25r7WMq/EMrpKXTee3t4IjwiHt68PF+/SkhLs3bsXL//zZfz9b3/Huxs34djRY6isrODPfxsGbRsa0w4g+9hBHMhvR3ZhCZouHsbZUxdwLKMKDf16jJWui5jSuIYsiw7UXcxCeW4FOkMWwC0sDFO9mRugMEFvVqmBkHcn2ivKUHi+FJqARDjHJSHWHXC5HTEljgmayjQ0VJXjfE84HLyDsTDJC2rl4DxqhEzuCJWjDzzdbeFoZw7cy9kbtjGgp7YKlRcK0R8wCQ4xE5HE/maXMXBFtBoNioqKkJuXx2M/dFRVVY3aUV1TjeamZlzMzkZWVja6Oru4BUnuHJV5oTK13d3d3I0jS6mWKTLVPiKrih6na0Qu4NdK8Zj07JIyq6ilGRUFNdC5hME5fhYSw3wRG+TKrrED7Nm1HwsrRiRPjmvIPKhB1ub3cWzrUZSk/BT+s1bgO3Ea+Lir0KOwhS07Qwky8UuRt28/drx8AO1TH0LguoexLhIIHOMg578wouPEG8g6dQyv1C+Cd+Js/PaRWHjYfdtSGv3NFcj9aj/2bDiMzlnrEbjmHqwOBvzGYL8fdfLdvm070tLS+O75oQXQRgMSEhIUWn2jRp0kRsPVJqJhTWJF/z7tQaNihVRsjSp4RkVFDRTMu+K9kTXVgrrMQ/jq7++gyOcOqFb+DA8myxDvOnDGWCHct3ENmTmucHR0hJu6B42Z23Fi69t498sMHL3Uij6JT0c0sIw0uEwKZtMrYGvesKdnumO6pkfCZnx9PXo1JtTLmYh5+yApEMySMj99iyGRKCkpxvlz53EhNQ0XmDiN5kHxIirQT9YYVX0cDnLXKHWAKo6S5dTOhJIsKn4+u57cSjKfeyUDK3f0HLei2HE7thoKURrX0B3lCFf/cIROSECQkwHq3jq0dvejnQ1a+vClfAOomKVha6uAvKcBHdUlyCssR13HQEa37lqCquuHkbkrnd1GaENT4BscgGhm7Y2VwUdWC2U8R0SG853ylPk8qkd4OC8HQitwVA6ErLGBhYCBMrRkHZGgkHVEtbHj4+MxeeoUJCVPREhICFxdXbn7doXrxqELSsX0DGwSGPhdJva9/jaUQxfumxVg6mtCb1s9Sqv60W1UwyM0EB5uTnC1k2MgN1KK7hujaBvyT+7Gn7Y2oajHHQnTJiNl4TxMnj4RMc6A8zCJnbrOSlTs3IjsLncURtyH+QnemBkwdhmgJAqU1EjxHUoAvYZJcsNQMwiqX0Qxpe1bt6EgPx8tra1cRAYtJLW9Gr5+vpiUksJrY8fGxQ00vrCx4SI2vCiR+jSjNv0Q9ry4EcXkvt35UzyQrEDi9ZdCGhWEKFkNJmh7tTAYZbBztLlqrEhUlNpy0FycgS8PFKG4zQZ2oQmITZmIiUnMUmDvy/7qcaWpQmtZIU4eKUKXaxh8FyxFvKccfrctWH/ryM/Lx59feAG5ubm8Sy0V5Cfh8fX1vdxRJCo6CuEREfDz8zO/6psYKkqbzKL0H7dFlIT7ZjWwGVZtC/uvCZKEcYuH+6S7cfejj+OH//4oHnt4FZZODkeUwzCCZNJDW56N5opiVHhMg23ENMz2lY1LQSKouBpldZNVRjFDcs2o9vWD6x/C0888je888V3MnjPnOgXpashOuX22ihAlgYSRQ650gLNfEHwC/OHnqoLz5WX9IYNG3wZTwwVkV5qQ2xOJCUmhmBLvBruvuSiWDwXSK8or+P43ijGtWr0aTzEReuL738Oau9YgKSmJl6K9UUx0XU1GmKiuOy0u8Eto4GtztGlpLBCiJGCYBy/7MvDd5W+kgZJZdyoVX0v819sa/I5ZSE2VqC0rRUWXI7ocohAb5IRQR8Co16C/tw893X3QjmFG8q2EYlaUf2SjsmGW0GzctfYu3H3PPVi0eDGPHbm5uw8TL7oe6DVKKOQq2Nmya9ffivbaKtRUt6K3owc9FEQfOPGWI0RJwKDbQMHzVuQmWgZmX2milPrdQTvaW9NQXFSJg7mOsPfwREqCAxS6XnS316G9sRBZZ9Nw/HAmylu60UMvGXilxULBaso5mr9wAdauW8eD2eS+3TwkSi6wtXeFt4cCuprTyNzxMj7cehCbT9eiqWcw1fbWIzK6rR5msOvaoesqQeGFbKSfKUKLUzAUfpEIdlHBS02Zv9IynLi06DvQVZWNS8f24cipfJzKa0VffzN62itRdCkXudmZyM25iKwKPZoMngiN8IGPsy1fbZTW3zIyyAqiFbTBqo8kUjdmGV0N/Q45ZEYt5IZeaBSOMCqd4RUQgoCgAIQFODPXeaAw4K1GrL5ZO8Ye6NhArik6jVP7T2Lf7jy0B8+D3/zVWDk7DlMiPODjKJPABt0hGHVAB7OQzhzBu5sOIL20BU0m5nPI2fvk2X4ktFrIFLZwmvo4khbfi2cWeiCKWQCCb8GoATRtaGrsRXMH4OjnBRd3JziQ5Ww+5VYjRMnaMWlh6O9AR3M1aipqUVHeBo2TPxz8wxEW6AU/dzWcbCjT13y+FKB07v5qtFSWIT2jHI2d/Wxmp066RvYUD9Wyr7Q3TgV1yGT4RyZicpAKrpbRwkUSUOKkVmOASm0z5jEeIUoCgUBSiEC3QCCQFEKUBAKBpBCiJBAIJIUQJYFAICmEKAkEAkkhREkgEEgKIUoCgUBSCFESCASSQoiSQCCQFEKUBAKBpBCiJBAIJIUQJYFAICmEKAkEAkkhREkgEEgKIUoCgUBSCFESCASSQoiSQCCQFEKUBAKBpBCiJBAIJIUQJYFAICmEKAkEAkkhREkgEEgKIUoCgUBSCFESCASSQoiSQCCQFEKUBAKBpBCiJBAIJIUQJYFAICmEKAkEAkkhREkgEEgKIUoCgUBSCFESCASSQoiSQCCQFEKUBAKBpBCiJBAIJIUQJYFAICmEKAkEAkkhREkgEEgKIUoCgUBSCFESCASSQoiSQCCQFEKUBAKBpBCiJBAIJIUQJYFAICmEKAkEAkkhREkgEEgKIUoCgUBSCFESCASSQoiSQCCQFEKUBAKBpBCiJBAIJIUQJYFAICGA/w8NaUq0ElbBpAAAAABJRU5ErkJggg==)
physics-General
physics
An artificial satellite moving in a circular orbit around earth has a total (kinetic + potential energy) E0, its potential energy is
An artificial satellite moving in a circular orbit around earth has a total (kinetic + potential energy) E0, its potential energy is
physicsGeneral
physics-
In the above triangle
and
Find the value of angle
.
![](data:image/png;base64,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)
In the above triangle
and
Find the value of angle
.
![](data:image/png;base64,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)
physics-General
physics
A body of mass m is taken from earth surface to the height h equal to radius of earth, the, increase in potential energy will be
A body of mass m is taken from earth surface to the height h equal to radius of earth, the, increase in potential energy will be
physicsGeneral
physics
If the radius of the earth were to shrink by 1% its mass remaing the same, the accelration due, to gravity on the earth's surface would
If the radius of the earth were to shrink by 1% its mass remaing the same, the accelration due, to gravity on the earth's surface would
physicsGeneral
maths-
Conserve the following statements:
A: Angle between ![2 ı with not stretchy bar on top minus m ȷ with not stretchy bar on top plus 3 m k with not stretchy bar on top text and end text left parenthesis 1 plus m right parenthesis ı with not stretchy bar on top minus 2 m ȷ with not stretchy bar on top plus k with not stretchy bar on top text is acute end text not stretchy rightwards double arrow m not an element of open square brackets negative 2 comma negative 1 half close square brackets](data:image/png;base64,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)
![text R: If end text left parenthesis a with not stretchy bar on top comma b with not stretchy bar on top right parenthesis text is acute then end text a with not stretchy bar on top times b with not stretchy bar on top greater than 0 text If end text left parenthesis a with not stretchy bar on top comma b with not stretchy bar on top right parenthesis text is obtuse then end text a with not stretchy bar on top times b with not stretchy bar on top less than 0](data:image/png;base64,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)
Conserve the following statements:
A: Angle between ![2 ı with not stretchy bar on top minus m ȷ with not stretchy bar on top plus 3 m k with not stretchy bar on top text and end text left parenthesis 1 plus m right parenthesis ı with not stretchy bar on top minus 2 m ȷ with not stretchy bar on top plus k with not stretchy bar on top text is acute end text not stretchy rightwards double arrow m not an element of open square brackets negative 2 comma negative 1 half close square brackets](data:image/png;base64,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)
![text R: If end text left parenthesis a with not stretchy bar on top comma b with not stretchy bar on top right parenthesis text is acute then end text a with not stretchy bar on top times b with not stretchy bar on top greater than 0 text If end text left parenthesis a with not stretchy bar on top comma b with not stretchy bar on top right parenthesis text is obtuse then end text a with not stretchy bar on top times b with not stretchy bar on top less than 0](data:image/png;base64,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)
maths-General
physics
Suppose the gravitational force varies inversely as the nth power of distance the time period of planet in circular orbit of radius R around the sun will be proportional to
Suppose the gravitational force varies inversely as the nth power of distance the time period of planet in circular orbit of radius R around the sun will be proportional to
physicsGeneral
physics-
and
Find ![vertical line stack A with rightwards arrow on top plus 2 stack B with minus on top vertical line](data:image/png;base64,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)
and
Find ![vertical line stack A with rightwards arrow on top plus 2 stack B with minus on top vertical line](data:image/png;base64,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)
physics-General
physics
A thin uniform annular disc (See figure) of mass M has outer radius 4R and inner radius 3R. The work required to take a unit mass from point on its axix to infinity is....
A thin uniform annular disc (See figure) of mass M has outer radius 4R and inner radius 3R. The work required to take a unit mass from point on its axix to infinity is....
physicsGeneral
chemistry-
Aluminium chloride exists as dimer,
in solid state as well as in solution of non-polar solvents such as benzene. When dissolved in water, it gives
Aluminium chloride exists as dimer,
in solid state as well as in solution of non-polar solvents such as benzene. When dissolved in water, it gives
chemistry-General
chemistry-
Which of the following is a non-metal.</strong
Which of the following is a non-metal.</strong
chemistry-General
physics
What does not change in the field of central force
What does not change in the field of central force
physicsGeneral