Physics-
General
Easy
Question
A ball is released from point A as shown in figure. The ball leaves the track at B. All surfaces are smooth. Let h be the maximum height from ground reached by ball after leaving track at B. Then: –
![](data:image/png;base64,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)
- speed of ball at B will change if shape of track is changed keeping
constant
The correct answer is: ![h less than 6 m](data:image/png;base64,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)
Related Questions to study
physics-
In the figure shown upper block is given a velocity of 6
and lower block 3
. When relative motion between them is stopped.
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ZGNBbfQ0roARxaORuuznZwsuPJ1V0wZ/ke7PGPx93cGvBkZN/KVL9gFBcXY+okJ/zk+/+Gt/74B+zcvg0Z6enIyspEamoK7V8a0lkZ6cjMzEAmPc+v5WRlITs7Gzk52cjNzUFuXi7y8/KQn5+PAlZBPgoLC+iGVChSGKxiujnx77FKniHde+gzfFOTvqNQ5F3ZnfNv5NHv8e+K38+RlEPblJ2dRduYRdubiQy6GfL+sNLS0mifUsV+8Ws+Z85gzKiR+OyjPnBfsggpyY+1R0UNNd68eC2gW1FRQe7pJDlYc1FtPX/uLJqbu2m4Qz0aq3KR8/A27kRcw/WrpPBoxCRmIrOkHvXSELVXEhJ0nQV03/7Tf+PA/n0SIOn5vFwGqQRRCaDS8yXFJSgtKUFZaSnKysqEysvLhdOvqqrUqbq6CjU11aitqWmX3GPgCeLXZIkeFaIngvTZGlJ1dTV9dxX9ViUqOTdOv1tWTttQzttCom3ibSsh6UBNkJZBzTcGhnUJve9i4AUYj9HD5598hGVLlxB0k7VHRQ013rx4LaDLF+mCuXPwpz/8Bn//yx/hSdXVtLRUtLa+Qop+w2A3KTvdt//439i/dw/y8tmx5omUCbtado6So80VwFKCmJ2nBOMiAl0xSksJyCQGYDnBmKEoxIAkMSgZmAzOJ0kAVSv5c/L3MNwZ8qUyXGn7+fcLWbw9DFdy2bz9fNOQXDA5cnbA5H6zyOGyy+X3Xgjwg7H+aHz+cR94qE5XjTc8ej10GQQ+PmdgoDcC//XD/8DvfvUz4ZqOHTkiXNnrEt1Bl6HFUGVAtQM3RwA3j90iA5feI6cOhPvtDFyCY2WF5EZl0ArYssitsmsV7pX+ZvfaUV0B/FTw0m/zNkjpBwm6OlerBS/vg5x2YPF7OV8snO7HHxJ0F6vQVeONjl4P3fi4OEybPBHvvf0X/PzHP8SvfvpjgtYfxHPpaWldc7u9NCToatMLWujmC7dYIJwhO0TOlUqpBm3OVpuvFe6WgUuSYSs5XMnZVlZWoVoGrRai1TUEXN2gBCl1wCmIzpLfL0vA92ngpW3gRsH2dIIEXpH3pW3PoX1g6GZnkmi/+L2BF7TpBRW6aqjRe6HLMGV35n3kML785CP8+mc/wW9/8VP88r/+Ez/7zx9gyIC+onWfIfQ6gFeG7o+fE7oFnFpg6BZ1D12GYUUFQbK0GOWFufS+EhSVMzi1QK0sQ2UJfQdBO7+kHFXseDUE31rO97ZL6XwFdLXgVUJXAi9Blx22MtWgaGzjVIgSujkMXi10L8rQ/eQfBbptaK2vQg0fmyq6qX1nvWG4XLegqU4DTWUt6hqbxKjJ18NmqPGk6LXQZYcWHRUllnT/y3//Dr/4yQ/xO21fTwbvu2/9BVMmOiHqRuQTGtV6V+ig+4N/w1vckLZvj9YpMnSl9IIMXQFcEr/GjpLB1QG4FexoCawVJSh4dAt3r1/E9djHSMitQUW1BvV0kdYUJCPzzmUEh1zHpVvpyCuvRl1DPbleZSNaO4R1jWcyfLWpBhm65eVat0vbwI1nIs3QCboixUD7wCkGvomw+H3tDWmvN3Tb2gh6NXTjybqPexEXEezrA/8LV3E9LhVpxXQMmwjG2ve+nGgEmguQ8yABseH3kFxQgSp6VoXu6x29Frrs9jauW4uvPvtEwJbTCvzIbpfB+5uf/xSfffQBOcbdovrb26Nb6DK0SO35XK3L5dQCSYJux8azMk4p8CjAqlJUZUYg4qA71rhMwaLd1+D7oB6lNY1obqpHTUooYo8uxOJFXpi36wYe5FegvrkJDfX1BOU6MQ+C1IuBUxCSuBdDjQ7A5Jo51aCAr5xmYOi2u10JugK83KiWx263Hbr8vosXCboGvQW6bWhpaRGNsKKG9Ny1pCa01KQg5cp+HPGYghlOEzBhvB0mOdjDceJCeOy5hMvJVSgXE3i8pGgtRWvJVQQf24u1a87j6r1cVNLTKnRf7+iV0G1sbMCNyHDYWJoJV8vAZdgydGXw/vRH3xePPLQ27HqogElvjs7QPUjQLSqQoSunFhQ9FtgF02sMNoYcV+u5u1Z5ZRnKijKQFX8Z1w7Mw0KTTzDkwy8wZpEfDsQ1oUTTTEBpRM3987juZQIL84kwWBSE2OxyNLS1ormlFS3iqm1Fa3MDGoTzJQA3NKKRYNTc1ITmRvqbHuvpsV5AmoBczSkH+m1OMbDbpf2Rc7u6BjWSLrergG7QxUCY9BLocq2Ibwz3790Vw5G569tzRX0hSmL24eiisbAbPQZWTrPhunQxls6yg+PIftA3n4Xpe27hVl6DdvL8lxCadNTFbcJuTzc4zj+PwDsF2iWl1Hido1dCNyU5CevWrBYu9+f/+QPhbH8r3C09Cvj+VICY87xffvoxVnkuE1Xb3hzdQ5ecbGGRyIPmEnClbmKS09WlFuhzpSVcrec+usWoLElGStRJ+KybgumGX6Hvn3+DD94h6LoH4FBCC0rqCKZtDF1fhK8xg6XlJBguuYw7OdUEA3J5DeRi6XtEqqCSXC0Bt76epOH8cAHy0x8j5dFDPErJRHouAZW2r4BuDgWFxShhp6vN7UopBnkgBeemO0FX63YFdAN7D3TZ4UeEh8Fr1QrMnztbDLjh7WSX/+S2gVbU5dxE5DobzBw7DhbzvXHuThZyqVZQkn4LcQdcsMjJERazj+HcvWJo+IbWVAdNdQ2qKipRXUnHu5AHlGQgO49qLhUa1NQ3oLG2nM4nnfecLGRk5dHxLkJ+SSWq6unmx79aeBd5Z2ZivcdiTNl9FzfSGsjmNqOlnmogJXS8szORlUHfmUs36FKqmfDnVBvc66PXQZen/bseeg2TqBB/TdD95IN38dF77+BPv/+NcL3sdN9968/4/KM++Jhe40eXKZMQdye2V+d2u0J3r8iJspMV0CVY6aCr7bUgXC5Dl4BbVk4XWnEGKu6dhP/mOZhpb4vxEx1gazAYJn0Hwna5vxa6bQTdJtQ+8EP4OgvYWE+FicdVJBTUks0jYCYGIXCXF7ZuP46j19KQXlqH5vp8FD+8jKDdHlgxfTyc7MbDwXkulq5ai+1792LDtlM4HnAbDwtKUVxViXJtiqEzdIXb5f0Q0JVGrvH7ggIvwETO6ZI7fJWDIxi6V0KCxbn44uM+0BsxFEvdFophzrzNXaedZIqVozDOG/scRsHZeRkWX8hHtlj0j6KlHk15N3H7sj9O+cWIvHpzWxEqM8MQcvIMvHftg8/hVdi03AUzJjhg8vRF8Nh7EedCoxEXtBcn18/G3EkT4DxhGhwnzsfcVYdw7EYmMjWtqE2PRMwaO6xcugIrQ0vwoJK2pioZmWEHcGyNKxZMpu+b4IiJU+bCbZ03vCMykVFJUNZumhq9M3oddDnfdjsmRkwFuHSRG1av8MSiBfNhMHqkaFD725//iLHWluJ5T4+lWLxwAXbt2I77VFXkC6q39mToAt39e6l6ztAtFK5QB1wBXXIuwuUqoMs9FQrTUX7nKHx3rIT78s3Ydc4be1ZNw7zRQ+Ho4YsD8a0Cum3khjQP/BGx3gq2Ni6wWH4FiTmZKH0cgKDNLphuYQH7WVuxKSgFKaXlKE++jLA9szDHfDj0Bg/FyFH6MBhjCGuT4TA1HIl+w6dh6mqCeE4xCjU1qCDHWyagq8jrdoIuA5fFaREBXQN9fEHQXb7MHenpadqj0vPB5YsbX6dNdsZ//+aX+NG//bMYcGNtYYod27aK13i7ea4PKRjC5P6vrYe7vjGmuqzBlit3cD38KsICfBF4IRjXbsThbjLtc3kDNEy85ofIjtqAVY42MBtsCCcnWzg6WsFabzAMB36FIabOsHVxx2q3qVg42Qa2JqNgPPgjjPrkbxgy1AJWnn64/CgNBXf9cXqmI5a578TJ9BrkN5Wj5NZRnHGzwkRTfYwxMoW12RiYjhxI58yanPZhHL+VS++jMiC2XY3eGL0yvcAt6zx/ADtBbsTheRe2bdmEwf2/Rv8vP8fBA/ukobEkzntyVZmB25snx+7O6RYLp6uFLoGqQ2qBqvV8DCTollC1vowcZhEq8tKQzXMbZKYhN/8GQnbNwEKCrr07QTehI3QjN1gL6JovPoXIMG/4bZiIaSbGsJy2HVsCHyKFG+RqkhB71A0rrYbB0MYNC/ZcQUhMLOIiT+L4MivY93sP735ohbHLzyM0WwFd2qbngi69L+jiRXK6+qKf7tLFbnj4IFFAjRv0ekz1dWISeW4cvBJ8GRMnjMcff/drMeCG01Z/pppUn3f/LmZN2751C+4mxIMnmW9urgHqo/HA3wMzhpphvLUD5q2YgSnj9GEy4HMM6T8UoyxmwW1XMK6kVaOSi2DLQ2Re98BSo8/xZR89mC3wxsHrj/D43mXc2D8BM8ZQDe6TUTCcsQe7LsYj7n4UHgQtxo11w7HGUQ/DLDyx//RxPA7dhXXObvBYcwG3K2qgaYhH1O5ZmD3CAI4L92FHRAYeJ99F8tVN2OM6DhZ6M+F+IgbRNc3c70GNXhq9Erqdg1vST3gfE1XBYQP747yPj/aV1ye+OXS7dhUTPRd4/t/aRjS11KCx9jY51OlYMGoo7Ja2Q5esFuoeXUDURivYWVpjoNlUeEw3x+SxdrCdtgk7LyXhUTlneCvRkOuH027j4EBAcVofiHMpDahmcNTnIiPICzsnDBKrflh7nMc1Gbqi+xjndRUj1GTokkRel6GbK0H3kha6PL+ucJRbN4sZyk6fPIFTJ4/3iMSMZ2fP4Mihg3CZOlmkrv7w61/o2gnk/t88A9zQAf3oXDlh1649uH0rDDUZfnhwehac+/ZF/y9Gw2yKKxatXo8tm7ywYek0zLDQg+XYuZi1+wai8xrouCYhK2w53A0GYNjQ6Zh79jHucF8vFKH87npssOmPYZ+bw2FHDK7kc09cDVB1Hi03ZyLQcyz0Rs3Cdk833D6xBHNmbYPnQZ4Dmifej8KVDQ4Y/3FfGE/cgLUhWUgtqUZTVTLSbwcj4PhFhCZkI6uhVeSE1eid8VpAl4HDF8vIYUPIWfQT0x9yNfF1iidDV8rpdoCuyOcydGWny8Ald0mqKOfJbjSoayiHpvIWru8i6JLTtVM4Xb6M65KCEL2RnJn+V3j7nQ8x4P2/4NMhVK31uoZbBdol8RuzURO/BVudpVWUVwQ9RHwD8Zag29pYj/oHZxG2fhzMDSbCdqkPrmUxdGtRqYAub59wu3Sj6ABdnotBC93gS0EwGqOHP5Kb5Pz8yKGDYWKoT8+NhuEYcnw9ICMDPZgajcGo4UPw1//5vRjdyMBV9ojhf//6Zz8mAP8Iv/75T9Cvbz+s91qGpOvbkHB0IsZ/+QE++sIW1isu4FJSKcq5W11mOKJ3OWGGsTFGjt2CfTfzUd2WjJywVXA3olqFrRd2xZcgXdT3i1CWfgA7nUwxdvRMrLiUhXjibSuqgaaraEtagdCtU2E6ygVrncbi0oZJmLbaB5sul6Cqkc5YYzLu+XhipdkQmOlbwGraMnhuPojjfpcQcjMBdx5RuanmCfnV6M3xekCXoHP44AGC7mAM7t9XzDj2DwPdYoKumG9BAlZ7I5rUc0F0F6P9l8HLo8QqK6uhqStFbUU0QndOx/zuoJt8GdHrjDC+/1v40x//is8/64M+X1nBeOYR+CWXQ/RsrktDdeRKrLW3hsGYJdgYkYokAm5dUysa6+vRnBqI2D1TMM50mli5OVQH3fJuoFvYMb3QAbqXxOCIP/zml/jrH/9A1fi/4dMP38cnPSj+Pe7X/eF7f8cff/cr3QhHGbpK8LLr/cVPfoQP3n0Ps10mItJvBaIPToJTv77QG7saK64UIUtuSGsthCZxF/a52MB02Gx4+D1CSmMKMsPWYJmxJcY6bMaRx6XIFm8uIOgewi5nazgYzse60Fzcp5tcCyoIulfQ+nglwnZMhdmoKXAdNRqH542D28EInHjQCg2TtK0OmswbuH10EVY568Go/yf4+uOP8FXfYdCzdsXczYEIfkjnpFnN6fbmUKHbQ/Fsp8vAkqroUkOadoIbkgRd2ek+J3STLiJqnRnGjRyB/uYzsXLzUix0Moe10QTM3E+fy2lGW3MONHfWY5OjJQxHzYfXlWQk0sXdQIe2pakRTcn+iN7mCBujyRjbwel2hi6nF57sdC8FcXpBD++9/VexkgQPejnhfVSc057SkUMHcOzIITEfs9v8ueS2B+F/fivBl4HLXRB/+sP/EI/cK8Z+rDU2bdyMqyGBKEjzxd3z8zBj0BDYTt2JnXfrUKazk5VoLfLB2SWOsB00GQvP3MPduhRkXF+D5SbWGOu4GUcflyBHvJegm3YQu5xs4GAwD2uv5eBevRa6jSFofbQC4TucYTpiPCw/HA0vh6nYfPk+wqvoZS1F2zQlqEiLQXyoD84f3oztK+Zg4WRL2OgNh76ePWZsv4YLKU2ofb0ujzcqVOj2UDwbupxeUECXG9IU0G1PL0jQrdUQdCsJnrueAN1HAYhcZwVbi8kwWx6ImJRo3D7uCg/LYRg9bj1W+6YgW1NGzukUjrvaYOxQW0zbHYpL2fWoampBs6YI+dd3wHuOHgFqPGzczz0lvdDdAAllTpf76Y7BFx9/KObT5ZUjGhsaRINpT4ob03gioLDQUEyd6Cwaz7ghjZ3t73/1c/T5+9sYM2qE6BFzmW4U3D+5oYGo2JqDrBub4WU0ELZ2HnAPykembpRCkXC6e2fYwmSEK1YEJCG9iZwuQXeZ8ZOgS063C3TJ6T5aicgd42E8zAR93zLHbPvVOHUnA+n0yRY0kNHNRlZCFCKv3MbdzBIUNdTSjTcbuffO4swyS9h98QFGTN6HNddqUaqOoui1oUK3h+LJ0O3akKaDbofeCx3TCwK67HR3TcO8kYMxTtGQ1sYNaQ/9ELHWAtbW02G2MgKPCJCazHMIWm0Dy4FGsJl3FEfvFSO/hFvEXeBmOAgGjquw/EwsYlNSkXH/Ei5udMSUIX3Q5xOCx3Lf5+u9IEOXG9JIEnTJ6XKXsU8/wsrly5CRwRh5NcE9XKJu3MD0KZPwpz/8Vmo8+/1vMbDvl3BbMFd0b0tNSRbzULRHEyqTLuCc6yiMNxkH62UXcDm5AjVtTagrJAAenIp5lhbQH78Dh2IKUYPHyLq+GksNLWHrsAmHCbpSeiGfoHsAOydYYfwYV4JjNu52crqRWy1hMHAI3vrAEQ6zTyEsuUQ7Cq0czcXBCN46D7PHzYPn0WiEF7fRljWhrTYOtw7OhOuQT2A4bS/Whtao0O3FoUK3h6ILdLmfbgfotg8B7tpPtxN0K3jGsFLUVEQhZKszZg36CpYLz2B3XAuKNdxlrInclw/CVhnCxNgJoxYGIyG/BmjOQ07oVmyx7UeOzh5WK4MIHtlIjTuDwPVOmGxuAjOL8ZjEy+G7OGO61RAY9v0Y734xHvYr/BCmgC5vE0OXt/GZ/XR70TBg7lp4NSQYTuPt8Pe//AmD+n6FubNn4ejhQ7ibkCBGpnUXLZUpSAtcgY3TzWBmYANn1+VYtcEL65ZOhYuZHizt3TDvUBxiizjvcB9pVzywYIQRzGzWYn9SMbLEt+ShJHUPtowzhvUwF6wIzkJ8HUO3nKB7Ga0P3BG2dhSGffIefvv1LDhsjMW9XLnzl4a24Q5iDs3HQoOBMDB2gP2CDdi4dTN2rJ8Pt4k2sDZxxrw9obic2SiWpVKjd4YK3R6K7qArjUh7MnTZRcrQlbqMScv18JSONTUM3QREn/LCpmmTsHTXFfg+akKZppmOTSPqUq8j7sgCLHJbDdfdN/G4SIPWtlbU595G/KF5cJ8yHU5uR3D+bjayiwkoN07g5GoXzLYxgNkYI5hYTsRMqga72I7C1yOmYvxKf0TlEGQ11SinbZGh28XpaqHL+8TQ7TIi7RVDl+eSuHkjUqw+4uwwHts2bxSrE/M0os1Upp44uKatHo0ldxDn44UNU81gYzgGRqNHwszQEGbj5mLxnhBcSa+V+um2piI39iB2z10Ed8+TCMyqQKH4klJU5gbAZ+UiLJ+zBUdvFyKFmNoiei/EoDXzIBKOz8ZsJ6qNzN+PzSHFyOEZbrTR1lqLquQQhO2aiYXjDGCiPwbmvFKzsSEsbadh2iof+N0tQJE6OKJXhwrdHoou0N1H0C1QQjeHgJWrha62r+4ToctTO5ajurIQ+ekPkBQfhwepBLoyDWo09Wior0NdRSFKMx/i4aNkJGYUo7K2Dk3NLWjSVKI69xEe343HnXuPkFGYhtSkBMRH3sCtm9G4GRWJyIgbiIi8hegzG3B4gQlGmc7ChLWXEUfQLa+tEtsiDQPuHrqcy83Jkaaq1EG3F014k56ejtjbsYi7c0cc+ybd6LOnR1urBrUlaUiPC0P4hTM4d+Ikzp67hJCoRDzMrUBls3Zqx7ZaOv5ZyHxIxzk5l2oHjWgQ39CEpno6ZylJePwgAzkVDailD3A6CG0VImdbmfsAiQl3cCcpBxmlzajXNdhJ0dZQgapc+r3oYFzxPYnTtA1nzgUiKCwe8anFYsKj1+vKePNChW4PRVfoyhPeEHR5ljECFc9+Jed1JehK3ca4ii5E8OV5bXmUHkvkdusa0EggaW6qQ2NdDaRpGjWoq+dZw9jvkFob0dTAMCbxRNi6qieBuDoeN09uxvZFHthw9DquJJWhiPufFj5A3DE3eI0bjOG2yzCXqs7JBaWorqkQ28H7o5t7gbaVoSvnc7kLXG+dZYxzunx82of5vmA0aVDPU2HyBEPap3o2yM021qCmkie6ofOvfVaN3h8qdHsoOkNXmk+XG8wKup1Pl0Gmm9pRgFd2vFq3q3O81aJFXizPQ+IJyWXwasTwV63zpb91qm9AfUMTVafJkVUmIOrAAiy3GAZT21mYsfogDhw7gpMHVmL5JBPYjDHB2KXHcTAyD3kl7K7LFL0W2OVK/XPbXa402Y0SuhcJur1nPl3CVS+dn+Obh7Qfairh9QoVuj0U3UKXwUoSK0dwdbwLdKUUA7tdBp2cZlCu/svrmXVYG61aAm8H+HYrhi+ppgh5cX4I3jUPiybaYpyFJWwtLTHO1hZ2E2bBdcUheIcm4kF+OUrJZZdrXa6ALgFXuFwtcOUGNL6ByNDlbe9t0FVDjVcZKnR7KDpDV1oNWAFd4XY5r6uErnYlYKrGy2mGsrKSrtBVgJfnqRArAGvBy63xrI7AlVaKqKnV0GsE3oocFCaFI9xnHw5sXIW1K1Zi9dqt2Hk0EBdvJiOlgEBfw6tHlOqAK1ILCuhyWoHz0t1C9wJBt5c0pKmhxqsOFbo9FDJ0O64GTNVyAV1pYUqGrtLtigY12e0q+uxKjWoEQnKeYtl1WTrwti82KasdwpLkNdFkVVVWoIK+s5R+g39PzHJWzF3VylFGv8O/x7/NaQ4GqZzLVUJXakCTlmDnfVJXA1ZDja6hQreHolvoMlhJWZmZyFGuCKxzuzJ0FX12tQ1qpeR4nwheWdqUgwxiedl1kQNm0Opep79ryBHX1aOe8728RA87Yn4fwZidNf8u/34JA5mBS9sl91gQ0M3tCN0s7RLsDPDAgACC7miCbh+C7iIVumq80aFCt4eiM3R5DgB2tNw3N5Ogm83SNqh1HJ2mBa8WvgJ8DMAn5HiVYgC3S0o9MGTFMuss+TUdtKW/+bPKhShl4Io10bjhTAtcduodhv2KtAIBl2CbSdDlmwk74Qv+fjDSV6GrhhocrwV0GSo8YmgUT+04oJ+Y2rE3T1jeXfCNg1cr0DldbkgTDrZYpBQEaPMJtFxlJ7BxOqHDMGAhdrYEVJ2r5WkeK1FNABVOVimR15Xyucq8bufnhOi98ud06QYCtAzkDhDuBsS8vXxjEHPqEoAlCEs9GXj/AgP8xTSOX3zSB8vdlyA1JUV7VNRQ482LVwZd7rbTQuBkx8oAfZI42M0dPcLQHayF7mm00ud43E13n+ltkvdh+pSJArpvsdPdS06XIMWNZFIeV4au5GyV3cWk6R05pVAq8qvCxZZrnSmBkcErpxAEfBm43UoCbHeqqW7P8Qrg0ncy1HlGMf49Bq6U19WqE3TFzYJcr+jFIKArTe/IrwVonS6vSbbcYylSUyXodnes/qHV1voP1F1NjReNVwJdBi3nHHkZnrvx8Xj08AFVOZOR8vgxkrXiv1mZmRlIiI/DurWrMajf1+j7xWfYuX2bWAU1PS1V977eKnZ1nDK4HXML46ws8NMffh9//v1vMd91Dnx8TsP3vI9Ykfbc2TNC58+exflzkvg1v/Pnhfz9fAleLD+qrvsjkEUOMvCCPy4GBmh1QYz+uhQYqBX/rdBFhTq8Jr2XP8vfISlAfD//FqcHpN8m8Xb40fb4StvFCzr6kng1j3O07fJ+8D5xjYRXiFi1whMDv/5STGA+c/o0McsXLzufqj3n/0iSy28HJSXhcdIjka/nJYOIvNorQY03MV4JdLmhJjExkarYe+E23xWeVOVc57UKa1evxJpVkry0jxvWroGnhztsLEzx/t/fxjtv/QXjx9qI59d5rRZLab+wVn734n3g+WN5kc2vP/8UP/nBf4g5XL/+7GMY6o0SDpAfDfmRxP820ufnR4nGJ271N9Yn0SOP6pKkr5X0b1NDfUn03FMlv++p7x2je4/4/jH0yNL9trQt7eJtlLZb3gch3iet+n/1hZjJizVq6GAsnDdXLDwqznM3x+w7U3dl4KWqvfzKWkvlWvxNv881NM5xt5HrVePNjVcCXa4K82KFk50n4JMP3hOTRn/56UditViugvK8q9zoIv/96YcfiBmheM5TnnCal2CX3kvv+6jPN9Jnz6UPnqrPdeLvbP93h/fRNrM+J/F28lLy//ObX4mpBHlVAl6l4A+//qWk3zxd/03v4ZVre7O6bLe8X7/+hW4NMp4g/M9/+J1wvHxMOhwvxTFTPtfxWEvHW/l6V3V3Pruq/fu+pbRlVRbvlyTp76/o5iq268P3MctlGtXqHqKl+fVqBFbj5cYrgS43ypw+dVKMUuKL84N33hbzmfJqv0P698XQgf0xbFB/DB88UMzwzw1o+iOHiwmmeSl2/nv08CEYPWKYTnqskV2lLzRc+3mlRnQVfTeLf0MnvZHk1ljtzs2IJRypVh2cH4ndoJDsSMk5Go0RK81amZnAytwEFqbG4t+yLE2VMhbi9/CjlSwzpeh7OsvcVCfrbyHl9wh1+S3tNii2Td5WSV33R/4s76uZkUG7m1aKjhMfM+Wx5GPb4VhTDUB5Lvjc8DmSz5d8Drs9v0LtZUAuF7I6lB1d2RravYZL4rLJa76NGDJIlFkuu0MG9MVgEqfD2FD8im44P/r3fxb7Hh8fj2YVum90vELonhAX0btv/wUT7O2oGrYamzduxLYtW7Bzxzbs27NLLLV+5MhhHD92DCePe+PUiRM4fZJnVjpBfx/HSQL3KRID/Mxp0pnTQmdZZ08J+ZyV8qXnz/qIvKPvOR/4nTsn5Uk5L+nrq1OAH+cu/XGBc5kBAVK+9IIiV3oxUEzIzQoOCkLw5SCEXL6EkODLpGBcCQkRunolBNeuXsG1a1eFQklh168hPOw6IsPDEBnBiiCF4wYpiv6OioxE1I1I3Iy6QYqSdPMmokm3orW6dRMxrJhokSOO1SmGdBt3brNiheJipVm0hGKfQ7r3Sp+Vvuc2Ylni+2PoN1m36PelbRHbxNtH4m29GcXibb8h9iUqkvdLu28k3tcI2v/w66Gka7geStIeH9a1a1fEsbsSQseSjyeJj20wHWNe3PIyK0g6/qygwEBxbgLpHIn8MymAxTlokXuWxPlwPzrX/pyDpnPPZYDLApeJcz5nSVIemsuNXIbOnD6F01SmTlE5PXXyBE4qxWWPyiPrhLc3jh05gkMHD4jG0d07dlAZ3oxtWzdj04YNmDjBQTSc/vj7/yZuOvcSEkSjmhpvbrwy6HJfW84FfvT+O1gwdw6OU+H1oYuALw6+iPhCY2CFhxOYbtBFLKAkAYlBFB0djehb0Yi5HaPT7TsECq3i4iTFkxLi4pBADoMnqWbdu3sX9+/dQ+K9+0i8LysRDxIf4OEDElUBuRqY9OghHj9KwuPHSaJBJCU5BSkpKUhNSRWNgGnpqWKawIyMDNHgl5GZiSztkN5s7rOqHWHG3cF4BjExi1h+njQoQnSzKhTTO3IPAO5axRKTyWj734rJbUjce6CiQlJlJasC1ZXarmKkDt3EhGpFVzCNkOa51d6FrFZ8lxB/r/Z3pIEUUo8J7rbG57G8jCUtJcTruHHPBjHto3bkmtg3XQ8HqW8v9z+WjgP3U5aOjzR8OEccO+63zH18WZncYJqehvS0NKSRuOcDnwM+F3xOkujcJCU9QpI4Z4/o3JHoHD5I5PMpic8vn28hOvdyOeBGXG6kZcXH3RHlJlar27G3cZvLFd1kbokbzS0qb6xo3KSbjbjB3IhCFN1gIqiMhtINJJhuEhfpRsA3cF8CPEOcl/5ht/uLH/8QNhZm4vdV6L7Z8Uqhy303Gbrcku/tfQw+5Do6QJfcYhi7Q3KCN9gpacHLBT1KOEECsHCABF/thcEXSixdMLLiGMACwnfowpLgqwTw/bvSxdgOX0l8sQoAP3goIPw4SQKvBN9kuvBJqckEAYIvwYDBkMHKSBcAFvDVjjKThvjK0zdylyoJPNLgB+4eJg18kMVdscoIXNy3l8VQk6Z0VPTRJbXPt9Dev1YHSzHcVwvR55T8WeX3scRv0G+1D6aQocs3BWkbefkeljTPLo9aIxVL+yMPFZYHUvDNRwym0A2oyEY2D6YQgyoItHwDo+OYQTc0AVs6xgxbVnJye68Ahu0jujFK50kS3zhl0LL43PJNliWfcz7/XBZY7O7vkLOPvSOVlxhy85IItlSuuHwxaOW/o25qyx+Vwxvk5iPJybN7Z+hybYedN5fh8wTdM6dPY8mihSKf+8uf/Eikbng7VOi+2dEroDvvSdDlajlBl52EErxCUVQVJ+gqwSvDl8Erw1fnfOniki80Gb58AcoXpM4JaSWD98EDgu/DB2IxReF6tfAV0GXHRRKuN41cL6sb8MoS8BX9V7uOOJPFkBKOlyQP+ZVdL0v00ZXBq4WuLCUoGZ6d51t4liTodoStrHbgtg+WYOhKfXdpO9mha7ebgcvOVt4n3kcBXW0fXhm6ynkaJFebKWoNfPx07paBK45zMpJZdOz5HPC54HMiQ1cJWhm2LCVsnwRcTqVwGkVytjFUjiTgyqCVyxmLgcuw5TIYqZXsdENClNA9J6DLvVa4cZAbT1XoqsHRa5wupxfO+XRML3BBZuiGh4V1BC8X+k7Q7Q68sSSR51TkN2XgdoZuZ/DqoPswkS7sp0NXcrta8AroZohqMYNECV3h6oTDk6rUArydoCunGmSAPRG6DEAFFFlK6DJENRppekfZycqziymlfF6Grux2ld/dAbokKbXQDl15jt0u0NW6XBm6EnilOXc5BdMRugzcrtDlYyyASy6XUz3iPCigyzfGxMR24CrB2x105bLQGbqyw5WlhK5Uu5IkO1wldDk/zdDl3D+XYe67zLnhpYsZuu+r0FVDF70GuieOe+P8OR/R6MFugRtQGLoMXB10qaDLwOXCrwTuy4KufMHq0gvkcvnC7gxdAQEFdBkQQrocL+d324ErT2YjVas5vysBiKEk4FSkdbkELBleDDIlcPm4KaGrhKIEW8mtSsCVYap5bklwll3vU9wuSbhdBXSFKyfxdvNNQwKvdt/k9IIM3dw8AV3J6ZJk6GrFx6976CqcLkmXXqBzJMCrAC5Lhi7rqdAlca3o9u124D4LujqnS0ZAhu4Vhu7FQF3D3dmzZ7B0ySLRZewfB7otaK2rQk0FlTleGug7HedBX97ahOaGOlTX1qO+8R+j10fvgO5cV5w4cVxUybjlmQsuF+DroaEdXC5DV1n4u4OufMFI0NW25muhK1crZfCKC1EB3C7QpYv5IblcHXS1F7sMXQFcEoNBAq4MXU4vKKBLbk6X01UAt0N6QeRzFVM4yjldLXTbG9S0LlcLXQYjD+GVYdkZuB1WjCDx5OWy2p9Twlf67DPBy46Xt4enfqRtk8Er3zCeF7oin6uFrgxeHXQ7g1cLXSV4H9F5EeepU4pBPp9doEt6MnTbc7myuoMuS0CXy6QOuqGizF4KuijKMIPX5+xZuC9ZLPoFv/bQbWtBSz2d71y6FmJCEXGVaqG36Jhn0bmvJTB+F7vU0ghUZaIg7T5uJ+Yis6hO+8LrHa8WuvoSdBfMdxVdcbjFl7ts8cCJK1dCdNCNDJcKNxd0udDzhfBsp9s9dHXAJckX5T2+SLUXbAfoap2uDrhJ0kXP6QUGrkgtdICulF4QEBHAlRvRWJxW0AJX25gmTd+oBa7WJcrQ5Z4AssMVLlcBXJ41rKqa4EigrK/nZXnosa4WdQTMOoatFqr1DQ1oaGxEIz828NSNHSWDtyuAuwdvB+hqwcvbpnO8xZ3dbsc0gwRduSFNOjYM3s7Q5Ua0zg1pIq+rbUgTaQYZurpGtK7QlcGrg67W6cZry4MAL+f9tdCVwSvDVy5bXdxuZ+heD8XVqyGiWxtD18/PT7RRuC9Zgs8/7INf/uQ/X2PoNqK5OgWPg/fgiOcMzJnsjGmTnTB92gzMXrQZO/zoOBY0oe5lG9G6MtTdPY3Qk9uw/lQCQh9p/iGWJnrl0P34OaArO105n9sZuvLF8TzQ5Yuug8tVuCG+QDtDV+o6JrlcAVwFdFMEDJSpBQZumuRySe1pBcnldsjlsstl6BKQ5MYzWXJVXYauMqUgYFujQS0DtbYCVaX0WfqOgmKCck09Gpqa0NTYQJBliNaINc0q+Duq+DP19Dy9RyElcBneSvBKzplzvO3gbYe+1INBuF0ldDm/q4Nu8VOgK0k43k4pBgFd7r3Aud1uoCuA2xm6dK6U0FWC99nQlcDL6SgleJ8Xuixue7h67QouX74k+gr7+/mLNgr3pb0LujzvCZ+HNDqefD6fGTxJDwE3N3IHtkweA/Mhw2E4dgqmuxJwHYxhM2okjCeuhZc/nZfyxpe6SGdzOZWHM4uwd9EUzDhwBwGP1fTCC8d3CV3ZpXyn0KULX4ZuV5erTS08B3TlfK4Suu0ut3voioUoqwl4JTnIS7qF+LCLCL54AReDI3HzLgG/hMDIcG0mgFbnITcxEnGR4bidXIyccoYxqx267a5Xgm5H8LLblR1ve+OaDrxPgq62j25n6BbmS+Dl9MpzQ5eO6TOhq62RMHxfGLqcYvhW0A0j6F4V0OWBNVyOuY3Cg6D7GUH3F70EunyueZIinosi+NIlcV64NvTE2c+oit+YGoyYXY5wNLOD5azd8A5NQGLqYzyKOIYgL1vY6dvDYt5pXEgpQw19pLWJbuZkDHgS/HpNBTRVVIaLqRzQ+S8soXKsofJG5qBBU4lqNg1UJgqKqPxUUdlr0i5jT/+vyU9AxIbZWOPiCq/gdESX0eY0UFmsoPJVyKaFv08yG3VNdHMQn+v90Yuge1y0+L5U6FKVMZYupm8KXQZud9CVxRe+1G9U4XS5KqxsRJOhy9VnAdz2BjQdcLuBrrzqr25lCIKuAC6Jp1yspkJclBKJmLPrsWXhFMyc6Igpk5ww1ckR02YuxbJdgbh0Lx8lLQ2oLrmL2GPLsctjCTaSE4nObkIjFfbmJrqQOOVA4lmvJLWDV3K+stvtDN3uwdu5J4MM3Sfldvnmk5OjhS4do2dCN0VqtJTTC3Jel6ErN6Y9La/bBbpUFlgScNuh220/3eeALpdT7uLIvW64940E3XPwcCfoipxu74Aun8fNG9dj4NdfiO3ZsMZL9Ifnc9ZttBIcs6Lx0G8TNm/1xr7LacjTaF+rTUBRwBzMHG2M4eN24GhiAcpbi1D8KALBZwLgf+IYwvy2IfjgCuxdPhcL58zFguXbse8CHbMH93E78CBOrpkH9zkzMXvBaqw/cgUhSZUoa+AvL0Np+gUcWzgPi2dtwRn67rRiutauH8LRdYvg4eqCObNcMd99A7acoGOfROWw8fXAbq+CrtSQRtAN+mbQlYErQ1dyuRJ0ZeB2B10lbGXgPhO65LCU0G13uu3QlYHbEboScDu7XAm6im5iWugywNpdLgOOG8zISRTHI+bkMniNGwS9wSMw2mICJk+dhFmOBjAbNgjD9Cdjzs5riMivQlF2OK4sN8VMg9Fw3B6HC1Q9a2xhR8D/SdHW0qyFMD3Say1cnaT/Wsn58JzFLfQ6i1MW9RqCr3b1CQFeLXw7Q1c0qLGKS0RvDL6p8H7yQBDedzHRudLp8jF6gttth66iMU0LXiV0BXi10JXBq4SuErwycFndOd3ngi6VQy6TXDZZXE5DQ6+KXjeBgReE2+UBEgxdnhiHB0fYWJqLXhavMviGyjP0/c9vf4Wf/uj76PPO3zDBfhyOHDwg3D+XwY43hTa01JWhqpDORXYh8oqq0EDlsLKQztEtH1zfMR3Tx06D47JAhGSVk2u+g0RfD7iaWcPGwAwzp1nDdYIpnC30YDR8EAZ9NRDGdlMwy2s9PF0nYbbtGJiPHIAhn3+GIaYz4LLvNuLz6ffbUpF3ZzvWzPHAXI9ziEylcxq2B0dmG2OskT4MeOY7/WF0DQzAMGMXTFkThNAMMiVii3t39A7oziPontA63QB/0QLMY/C/LXS5cUQG7jeBrgxeAV1lzwVttVaGLsNACV3JnfGgCG2vhW6h257LlYDLLrdjNzEZunKPBanRjKr85dmovn8Q3gutYTXEGPZL92MfVfXu3LuLpIQQBGydgXkmQ2E0cQPWhRCokkMRutIUM/RHYPw2zom1oqmViiS54PpaTlPUoLae3G4TQZUccGN9LTSV9NvFBMdCcqllBPvqWql3BDmkGv4MVRl1bvcp0BXgpf3pCF1p39uhq60BfFPodmpI00GXzhdD7WnQ5XOvBK4shi6XG1kydGXwStCVwMtlsHvoygMkAsntXhDpsmXuSxW9F8yoZnVXHOvmZumY96QYpux0eUrU//ndr8V8EL/5+X/hrT/+AV9/9gmcxtvhyKGDdHyTRA2Ht5HTDm2t0s2Xy05rTQGqH11G2Ml1WD1zHCYYGcJ65hZsDMlHVm0TUT0KCd6TMaHvx+jbfyzGLDiGGXtD4H2NagPB3jjqqg/7AX3w5SArjFt2BAeDoxAR5oMLXraYZGqM0ZP249KdMqAqFqnnF2Kh20a4HQjD/Qe+CPRyxrQRppi6wQdHwu4i4dZFhB2ajflWFjCzWI4tYZlIbgGatZzprdFrnC5PKsJ9G3nSEhm6Ydev6wr1i0P3mzvdF4GuaG1/DujKvRYKCuVGNIXL1UGXXa4SugS5GoJuWRaq4qhKtmoeZkxbi11XaLvquW2ZoxmFkbtxdOoAcr9z4XIkFolJoQhba43ZRnpw2hGPwDTibXM16rPoGPp5w/uoHy4l5CGruhF1lQS8aLrp7V6FtYvnY9GCpVi5dT/2nvLF2WOnEXQpAjczypFbSdshwPss6Er7I+ZdeCZ0FXld0rOgK58HPid8bl4Eukrgsrgh7VnQlcCrhW4UQVcMAVZCN7Rb6PI0pL/+6Y/FTGY8uTv/PsNX2p6eEx8rnrRo9ozpwunyjYCh+/P//AF++sP/EPDlmdoWu83H2dMnRc2B8/rtQTfsijQURx3G6Y3TMclkMIZ98gWG2q2E54VspNYQdBtuIu7YZDj1/RojLT0x7Xwe9qe0IIXNqyYducenwE3vc3zwtTNcTyfibgNnbwtRF7ECm5xNMNJ0JfzD09CWEYKbmyZg/or92BD6GOlJJ3BqtiHM+gzH+HVBOPOgCuV1NWgspvNz/hiO7vbFlYfFyKPf6e3Nbb0CugvnzxWzOfn5SaPRLl0KwlWed4Ggy7CVxdDlQi9LBq4MXb5QdNAV+VxJ3eV0WUrgdgtdKnQivZDUfXrhidAlaHw76HbndMlxlhehKjUKsVcvIyCICndGIUobyKG2UDFrq0Xute04OGUw9G3dMOdEPB4ydNcRdI0N4bz7Hi4l16AqPQzRB+bAbbwNbJ29sPlyMh7k0bbGnsSJJTZwHNUXQ/r2w5ABg2FAzsPEwhJmg8fAaeYGbI8uxIOyJsklPwW6vA9C3yV05fPxnNCVgStLBm/8HXK9JNnpymVIhq6yjCmhy49Pgi7PfiZD12PpUnxFLvJ3v/gpPu3znph1jGt2bgvmUblnze0xLVnkJobcDx8yUMxxzPMb8/zU/LcsnmCf50fm6Sk9l7mLWeVqa+UkLkVVLsruXcZ1v4PYs9YVix31YKQ3FnZLzuI8Qa+y+hbijs7C5CFmcFxwFIeym3GXQMjVftRkoOLCQng5WWOA5QYcuJ2HUn6+qQhtcVtxwNUOxmbLEBQWi4o7p3Bqjh3cN5/BqfRaFBWQU948ETMGf4UxllMxaekO7DoeiOCbdN4S05GaXYGaRl7Cq/dHL4Duu1Qg5pHTPakbjcYtwGLeBS10hcNVuFxZnZ2uDFwZunwhKYGrhO5zOd1eA13t6DOeXay0ECX0ufzCEpRTtV/TSNBtqEJjUSTCtk/BzNGDYTR1B7beyEdmRjjCvCzgamoE5x03ce5yMML3zoarpTGsJ3pi+el4xGaVoSjBB1c2OsDO0BzW09dg86mLCLriB//d87HU8isMersPBtsux5rwfCRqocszj/F2CT2hMe3p0G1fR43Fx0k5JPhp0JUb0kSaQTkHwxOgqwSvzu0qwMtTW3I5kRrSuocu/y1DlyXSCzwUOFwC75Ohu0QsMcWTubO7fO/tv+LDd/+OD9/reXGfeP7tv/7P73WQZejK4P3Vz36Mn/34h2KifZ7netigAdi5fSuV+0eix0tLaxvVlBrQWENls5jOZ3YcHlzfgY3O+rAxnYGFJ+7iTupNxB9zxbThYzFl2SmcK29FBl3zojZWnYHKi4uwZqo9BtvtgHd8IUSntYZCAd2Dcx1hbrYIwVfOITVkF9Y6zMGag1dwg5hf10DlK+4sgjZMwiyrEdAf8DUG9x+EkQa2sJ+9ERtP3kJ8gQYaoq6a0+0mukCX7vqnT50i6PoJ6D5xshuu1mnBK1f35AviSdBVzhcrA/d1hK4EXs6p1kJTV4cG7ovb1IzmhkpUZ93ArWNzsdh2FMYYTMPc3WG4WaxBSW4UQldZYa5Bf1i5rsXcObPI4ZrDdtIKLD9xG7eKmlFXX4RMPw/smDAEo2yWw+047XN5E1raalCTch6X1ljB5vMvMMxyGdaE5eG+AroixaCFLi+U2XECnPacrgxducdGO3TbwdsZutI8DArokr4pdJXgfSp0SU+CriwuZ52hy2WSy2Y7dLvmdCXoforf//rn+CtV3/t99TmGE8xGkNvkSfp7UjzZOv92n3fe7gJddr0/+9EP8Muf/ic+fP/vMDMyxDLa9qBAP6TevYmch7F4kFaAzPJmNOra2RrQUBKBIHcDOI00g/26MFy+E4kEKosuI+wxdflp+Ja3IIve2QG6Uwi69gTduAIddFvvkNOdNwHmxnMRcnIdYk55YYbzJuz0jUc2vaUFzWgpT0defCAun9iKnSvnYfG0sXA0ozI/TB/m45diTcBjJJB1bt++3hmvHrofvCuqWqdPE3T9u4euDrzPAV0ZvMq0gqzXGrpayHG3rVpNHeobCLw19L6U64g6vgSLLQdCb+RYjPf0g9+9YtTSBVGTF40rq2wxe+CfMYgu8k/f+wT9B1rDcedNXM6gi4c8QVvdfURsnwg3k+Gwcg/EsfhGVDXxWaKqWmMikkO9sMxoNGys3LGOoHuvE3QFeGWn2wm6pU+CLu0/H4tc1nNCtx283xy68nmWwSugq635tJcPgm4s3bC/IXRl8D4Zukvx5acf4ze/+An6E3CXe7hj/57dOLR/Hw7u24sDe/f0mI4dOYy9u3bC0sxELH3FSyhxOuFXP/2JcOJ/+/MfMaj/13CdPVO0rXCXv3pNNcofkts8sgIbd53H8UiqadWLy5hCg7r8q/B3M8CE0ZZw2BSBkHgZunbPhO4xgm4lPy+guw0HFkyEmZ4LArym4PLuRXBc7Atvql01Ulluqs1CZgKdr5gHyCivQZWmAlW5VHO9tAkb7AfA+OtBMFkWglOJreDUcm+OXgFdyem2pxcEdK9K6YUIqr7JhZslF3oZvHwxyOCVgdsO3Y75XFkydGXwvl7QrYGmoRF11VT4751DwFpHTNUfhGGG0zB9UyAuPaDvq+f223rU5N/EFS9bTP7013jvrXfw7p//hM/66WGM+yWcTqijwtyE1toocrN2mKmnD8cNN+CbDNQ2cYs1vUYVw8y4vdg81hjOY92xPjwPd7vJ6UpO99nQFfutVYec7nNDVztAohvosp6WXpDPd7fQFbWhb55ekIHbOb3QAbruS8XaaQw4U0MDhFOZLqJjwfNq6M55D4knpOfj7r5kEf7nt78WXcZ+/uMfCqfLN4T5rq5i9Wcu49xjRYomVN/zQfByXpbJGeNXX8T1zEpouJ935X2kX1kJT9MB0NOfhQXnHiIhh3O6rpg6ZBymeJzC+c7QDXSD12Q7DLTbjqNK6MZuxaGFzjAY7IQ9E0bhxOqZcNmbgMBH3CxWiPLH3ji2yAUujiuwOyofjxt4WXsNaguv4YKHKZwH9oPx0iB432tFlfix3hu9qCHtJHjGfd1cutqGNC7Q3xS68mN30JWdrgze1wa6pCq6EGrq6qEpS0N29EmcXumEqeYGMLWZjfk7gxHyuBwVTdxMzPWrelTnRiJklSWmDuiDQUbTMXXqeMxzMoKemRvc9t9GfCXBuzYWoRvsMUd/FOy8rsPnEVDTTNBta0ZrG+3P7V3YYG0ER9ulwuneLVVAV7td3TndZ+d0nwzdbhvSSB3SC0kEXD4fWpf7PA1pAridoCtL7r3wvNBlPU/vBYau6DL2X1I/XS5TrzLq6uuw1msl/kBOl3suDPj6C0yb5Iw9O3eKmw53KeN+2rqgctCcdxP3T8zFfMvRMDB0wBT3jdiydxf2rJsLj4mGMDOwh6PHefg9KqEbcRRu758Oh6/M4ejmjTME3facbjoq/Fyx3NECn1tswsHYPC10C9AaswEH5tpgwMfmmPnlV9g81xUrgzMRLVraKlCd6Q+/ZXZwHjwYppPcsWDjfhw6sheHt7lhvr05bK2mY8nJBEQVUsnv5d0XeklDGkGXhwGLLmMBYtKQq1euiElE5NSCSC90gq58QSihK6vd7T4ZukrgvlzoSvB4qdAV+VxyuTVFyLt9AgGrx8Fx9AiMsXHD4kN0Q0orFcN/G8SQ3ga0tGlQlROO4BVmmGmgB/t1V+EbGoybh+ZgxuhRMJ+8WTjXjLIUxB2eiRWWQ2A8+yi2h5agSNNK0KUqXfkt3D2/CPNGDoOplTvWKnK6OujqgCvPNsbL9Uj78dzQfVbvhbSO0OVzoDsfLwBdJWxldQ/dWx3K2PNCV9mQxl3GxOAIgq61hZnYricOue2B4C5g27ZsQt/PPhELdW5cv1ZcI1zWeIRit9FcgZqs67i2YxbcrKjMDRsB/dHDYTByKEaPsYWD+zEcvVWE/LoGAugd3D+/GkvGucJ9ayCCq1qQR18havw1Oai6vh673efC1vUYfBOLpV4NjSVoSzwCv02uGGfqAtfRDti7ZhfOPi5Bmuh024qWWioj4XtxYqE5xtJvjx6lDxPjMTAnhhhbkSteR2YtuQLEeLUhrbt4FnRFlzGCrux0ldC9QYWdpVyuR4YuXyQ66MYSdO+0D46QLy4ldL87p/uyocupBapKVRWiJiMQlzaSwx35NYYZTcEUr5M4dSUGcffu4+F9upHQ471HmcirIMdJF8rl5WaYZTgGznsTcTWtGhX3z8JvgR5s9K1hPP80FfxMPLy2Hcdmj4LemMlw9grE5QcExSKC3fWdODRzBPQ++BiDrDv2XnhalzGpn27XhrQXhy6vjfYE6NK5EdCl88Tni89bd9CVwSufey4LctlgMXi6c7qy2+WyJkNXbluQUwsydHkwz5WnQbeXzL3A27hrxzZcCb4sBqY0Nj2rPk4Ya6mhmzhdF2H+CDy+H4f37MaBw6dwNoiOSxKdY02b1D+2pRxVeY/x8PZ9PEorRDHVmjgFLPa4uQ7NxSnIeJiI2PvZyKtqkAYytNLvV2WjIPU+Ym/RzTEyDumPM1GgaYSGX+fgqSWr81D0iI79hRM4c3gvDu47gMPHzsH/Kp3LNLpWGl6P+Rd6RXphAUFXmntBC91vODhCvjAEbOnCES6XJAZHxNFFxaILSwlcVmfoKsH77aD77PSCNKXjc0KXR4Bp6lFVmITMgHlYbf53fPDr3+Kvn+nDwH46Zs1ywdwZUzFzijNcZpCTXXEM3uGJSE8JwWUPQ0wdMQTjtsTBP5XKfU0Kci8vw6qxwzBiiB2m77yGSzeuIOqUOxbZmcLSgqqP89yxbKUHVsy3g5P+l/j6rU8wfOxKrIssQGJ5e0Pa80L3ySPSJPCKY0TQzXlO6HZIL8jQZaf7AtCVZhhTQlfWN4due0PaBVxQQPcLkdPtHdDlWcZ4QVA+zgzgbxytzWjWlKOCB/BU1Ymq/LcC3TNdf+fX29DWrEFdJZW1EtqGmkY0frczqb/06CXQ1U544ysNA+a5F+RhwDJwXxi6YkRae4pBCdxnQpeqqwK6VIXtDN0UbtRRQJfh8PQJbyTodph7gaWdS/dp0BVdxerqUJ5N23hwKpZbfYyv+ryLPn0+wddffoH+X32Gfl9+ir6fvo8vvhqILy094XHqFh4m07HbMRXLHO3geug+rqTzDE4aNBZG4NrWKZhvZgRbt+M4HP4AKUnXELp/AdztRsJo8AAMGTwSpvYWGGtvAv1PhsDCfhU2RxcisaIRdTVVz4auPK8uO13tTGOdoauc8EYHXaolSNDlYykdVz7G7RPetDek8fkQPRfoHD3L6XYGrqxvO+FNF+iSe2ToctsED2sXTlfbkNYboMvBw3sZvt8mxPBg7d/fbTzhV/j3e2wbXm70Lui+4IQ38sXBj8Kt6MB7W0zt2Bm6MnBfFXRZ7dBltyvNMvZEp0tgq6quRkUJwepeBGKvXcDFC34I8DsP//M+8D1HomPnd/4sfP3oYg+5jZjHeSgtI7g/vo17t24iLrUUeRVNaG7h5U/KUZoWh8So6wi79RBx9wm6D2/hXhzBJewKQoOCqIp8mWoaJ+B3cD5chhth3Pg12BVfiEfVVOXj2c60wH0WdPmG8jzQFakFXhGYJLtcndN9CnTF3AsMXDpXMnSVwGXJ0JXBK5eFlw3dawTdYAHdANHlSswyxlM7ioa013kSczVeZvRO6H7bqR2V0KWL6VnQlcErA/dp0FXOp8tVXlY7dKU0QwfosoNj8BJclOAVc4t2gq4MXgEteWrH8vapHTnNUFPHE9RwdxnpTt99tFIVrBFNjYplVNqa0NKknU+3UbG2VasGpXf8ce3QGmw64I9zt6RcW0NDFaoen8eVbU6wG2YN25kHcC6lBNn1DajlmcYYuNrtYuiKRjTaZoaurhFNQFcCrhDtL0OX919AV4BXkc+lY6ZMLXSALt/ktPPpCuBq87rK+XRl4Mp6KnS15eHbQleWgC5P7cizjJHL5UnMz/tooduL5tNV49VH74AuzzL2EqErpxieN73wVOg+6ga6dNErodvR7aaJPqZyY5qArha8nL9k2HTvdBW5XaXbJegKt8sSq0bw/LY83600+TjPhdvY2ICmpkaqNvLsVSyeqpF7MhA8GbxUnWwm4DbJk5Y30OtNDN42tDRWo+TGAZz3sISVlTOcFu/BYf/LdPz9cH6bK5ba60PPdB7m7LiO2MJyVDRodC5XuVxPKbtcZS5XALfzJOZa4JKkfO5zQJeOa2foCuB2hq7C5cr6rqGrBC8P5OFujtzzhl0uj67sjStHqPHq45VDV6yRRtAVC1NSdexJ0I3gwq2Dbjt45YtCCV0ZvN05XVmdwStfoF2g2zm9wODl6i0DgKq7XRemJLf7HNDV5XW10BUNaorcruR2pTl1uequTDWIdAOBTxK535oqAnE1pCXXpcnHZUkTknev+oYmAnMtarKiEO+7Bl4z7OBoZYnxdnaY4GAPx3H2cJ68AIt3XURAPG1zRRVqamt02yBDV+4qpgRud9BVulypAa09n9sZuvKx5OMqGtGU0FWcCwHdTrlcJXCfDF1FeoHKB9+guczI5aczdFndQVcGLzf6co+bS5fkhSnlNdIWk9Pl1YBV6KohRa+A7nyG7vFO0A3puBrw06CrdLxdoKtdrkcJ3G8KXeF2O/dgeFHoEnQYPJ3By92qlOCVoVta2hW67cCVoSuJV3iQltjhFR86wrd9FeCOz9WR821sIIjm38e9y0dwfJMHVi6ci0ULFsPDaxf2nAlDZFIB8qrY4VajWgtcZf9c3sbuocvA7R66OuBqocvAfRnQlcH7LOjK4OXH54Huk5yuErpsFNpXA5agu1SFrhqd4tVCV7kEuxa6XFiDAi8gJDhYdDYX0A3jxgpleqEdurKeCF3hdCWXK19sfOHJeip06WLWQVfpdp8Dut3ldRm63TaoMZS0jrcDdLlRirvmCOhKa5GJPKoWfAxdnotBlgxeaYkdaQn25xG7Xo2GvquMfj+Ptpn3IZ32IYsAWUgw5fl8q2tEHlfO5crALRPQ5ZuDIrXwlGV6JOg+5xLsdEyl1AJ3F5OAq2xE4xuhnF7oPOeCDF4+t0+CbrvaoStLCd0uwKUyKGYYYxFwIyKk1YDZKARdDCTo+sLPzxdnz54h6C7CZx8xdHtHlzE1Xn30GugeP+5NzsBHDAXmLjfc9ebatWtiwb/OOV0JvN1DVwavBN3nn8icpYQu6wE7KBJf1AxdAd5HMnSlFEMH6GrBy7lIKa8rQVcCb5YYBCDnMmXwdnC75AqF2yVwdQAvO17O7xJ8RW63E3iV8JVcL4NXcr1dpQQuwVkrDY9m4xUGxBI9kjg/3FhPQKbv6jwCTUCXtkfZY4G3WYJue9/cLsAl8UQ3MnQ7zLfAwM1s75/bDt1OjWha4PL5EP1zGbqdgMuSzyuvhScDV3nzlSXlczs6XbksdQauDF3Z4YpaGIlrZSEhUncxfyrDXI7PnjmNpYvdyOm+r0JXDV28+vTCewRd1zk47n0MPmfPgjuUd5h/IazTROZa6HYEb9ecblfwtkNXTOv3BOgqJaqrWujyxS2AK0OXAUDg5W5MEnS1egJ0s+lvdnVyLjMvT8rtdgCvgG9H8JaUSo1qsuuV0wwin9otfDsDWOmAu4oBrXyf/Fnp+6TvllXOv8m/L5x3Z+BKqRGRWhCpEoJukQRc7iKWT+5WyuW2D4jIziHYZkvHSECXjpkSuDJ0RVcxObVAx16+AUrApXNESkzsCFw+f/J57QxdWTJw78RI0BWwVdy8u3O53UGXa2OhZBCCgy8hMJD7554XtbYzp09hyaKF+FSFrhqKeCXQ5Yv6nM9ZmIzRF9BdMG8uTp44QQX1vOhqwzldHtlznapsXIWLZqiSuoOrACtBVcyzwI5WHoFGio8nV5vAYsDyBdgOVL4wdVDVSqQStBKuVqQSCK50scuOVna10gg0hoQylUAi5yaqzTkSYGSw6uCqdbQCUFopXa3UY0FykhJcOY9bIQAoiaEqwZLXLRNpBJEekFMFUrpAXtWXHxt4GkjtkuudJXozkLg3hPJz8vfJqQqWADTDnMGsg7LUbYzn060Qc+pKy7HLak85kPst7NRnl8Sjo/jYCCB3cr8yjEW6QcA4XczDkJYiqYP7lR2wDGQ6h/J5Vbpg+fzLUNbBmMoKlxmR39WKy5Qy1SCXuVskLodSmYwSEGZzwAN6LgUFihSZH+d05fSCyOn2joUpe3O8yjkpejJeCXR5piNeD83EcAx47gUxn+6pUyIPxmPWee4FntoxPDxMFGxe10mWlKeVAHtHwJWdqyQB17sJQrwGFS+vfv/+XbrYGLKc82PXyu6I87RcRZXEFytfuCnJyVrxSr/a1X517pXgmsFuTJmrJcl5Wha7V3Z2DBUBF7lxTOtaiyW3yjlakafVglVOF4icKYNV61Y7gFVTSzCUgUrA5O5g2uXTpb63jboFCEUXMa2atI8iZcALDHaWSCOwtO/XfgeLl2sXS7Xz9/PvyYAWkNamKHjbGMo1EpSFSxYrBkvuWNmtTAay7I5lIIv8L4uOF68YrAOxVlwzyNbmfrMzs3TnQcr9EohTpcY2Xl2Cb458/uTcb7I4xwoQKyRgzA45kQDMa5Zpy04Ci8pSPEuGsSwBYx4yTEDmMqmdFCeS87rkdkOohhZ4wR/+VFs7R26Xu4zJ0B1rZSHKmhrdhxhh9gaA93s8v2dPKYKqYVHkCrixYcUyDwwZ0A/vvf0X2Nlaw2PpYqzwXIZVKz2xZvUqbFi3Fps3bcD2rVuwc/s2nXbt2I5dO1k7sGfXTkm7Wbuwlx737qHHvbuxb98e7Nu7B/vlSZz37cVBnjj6wH4cknXwAA5rxaugHjks6xCOHWEdFvI+egTex44KHSedOHYMJ7xJx4+RQ/fGqRPHhU6fPI4zp05QtfKkqFqeFTotFiM8d+aMJHL458+xfIR86cL0E6PJeHQZiW5G/n7nEUA3oAv+fgr5i4v5IouqsJw75AZHneiYsi6xgi520WUW3cy6KIileK/2O3TfxX8rfkce4hoYQNvDou1Sbic3IvH2837wPnHfaxYvr3/+PO8z7Tsfg7NncY7Ex4aPkdCZU+LYnaZjePoki44riY/xieMkb9YxcQ5k8bkR5+kwi84ZSZxDPp+sgwfF+eVzrTvvpIP794sycYDKCYvLCpcbUX4U0pUx0u5dO0S5E2WQJJdJLqNbNm0UM3at9VqFVSs8sdJzOZZ7eMDBbhw++PvbYqLwUcOHiG0KC72GiIgwhJM77u46eZN0jWoHMVSLYBPypsT3PvvoQ/SkvvjkI3zS532889c/i9nqf/Ozn+BPf/gt/v7XP4nnWO8SiFm8ntR7f3sL7/+9e3Fh7qJ3nqS/iTX++7zz9yfr3XZ9KIuel/6W1peSXntHep9u/Sl6TStuGJT0bgexo9fpg05/C72n00fi8f2uouOmFB/HjvpA6NNvKfl7JHX9Hd02dLeNiv2QpNxHkvI4aNXxWEnHT3lM+Rjzse5Df/fRHnvlORHnSCFxbvjxGeIy0X1Z0aqb8tVdOXyfyiiXU7ncyuWYy/Sf//t3Yt5adrq84CNvGw8L/vzj7q+PN0mfftgH79NxNqYaL+fI35T43v/7p39CT+tf/vc/4d//7//Gj/7tX/Dj7/8rfvCv/w///v/+tyR6Xta//R9Z//RE/es3Ef3utxFv93elf+5OdKw6qLv3yOr83pep7n5P1lPe391+vmx1d56eS92Vjyeovbw9pSxyeVWUXaks/xO+/y//B//5H/+Kn3z/36m8/7P4vu6uiTdR//d//S/8f9/7Hv721p9FDepNie+NGTkCr0SjRog19g1J/Mj/7rXqbvtV9R51d856iQxYnct5d/vwBkp/xHAMGdhfjH7ktpo3Jb7X3njUsxKzRXHLs5D8747q7nOqVPVWdVeGJcnlXNlYq4qPBzdwck8gbix+U+KV9F5QQw011OgcapcxNdRQQw01Xnqo0H3l0Ya21la0iqG39Eg3+3+o+/2bYV7UUOO5Q4Xuq4ymGtTlJyE1PgrREWGIjIzB7fvZyCpvlJas7vXRlaj8DC8K1NJQjeqiHBQVlaO8tgWN6shXNdQQoUL3FURbaz3qS1KQHhOI4GPbsWedJ7w8PbBqhRfWbdyPg2evIywxDzmVjdJqqb06GtGiKUFhWjoy0vNQ1NCEJnquNu8e7gceQdDlKESm1qPsBdZAVEONf8RQodvjQUiqeIT7ZzyxYZIJrM3GYqzTLCxYuABL5k7HLHtj2JhYwXrWbuwOSUZWQ1svBi/52uZ81D72xakNm7Fxy3mE5VejBvUoiTsLnzlGmL9oGzaGViG9SvsRNdR4w0OFbo8GQao+C6Vxh7B7mjmsR1vAYfEWbDp1EUEhIbgW5IMLh5Zi5SR96PUzwNiFh+F9v5bco/bj3yq+o5VTG1JQedMLy+wnw27KHvhmVUKDBhRF7scByw9g67gciy9VILla+3411HjDQ4Vuj0YrUHwTWT6zMU3PBKMdtmL/7Sxk1zeinuezratFQ20akq5uwebxenCa5oVVl4uQWdGIpupilOWkIz8/G5npj/AwLhoxN27i1h36O6MIZVVlqChOQ9q927gTFYmbtxJwNzkXeZX0veKXGbnNaK4rRUnWIyTFR+PWjXBERt3C7buPkZxLn29oQYeFuVvr0ViZh4K0e7gfewM3IyMQdfMO7jzIRFaxBprGajTmXUfCocmYNMoEo8yWY2tIApIqC/E48hAOjP0UDg4LMNc7AVdpexJv03aJ30tGan4lKhvbOv6eGmq8AaFCt0eDoJsfgYzjU+A0fAyGOuzAgbulKNa+Kkdd8T0knN+FUycC4B9fjOKKPGRFnIH/+kXYvXcTvFYtxBw7Y1jrj4KR9Wy4LD+KgKv+CD67FiunWMBuzDCMMbSD/dxd2B+aglSibjP/dkMuiuLPwWetC+aM1YfxyGHQH20Ai/Hz4LYtAJcfl6OkSfhxES1lj5F+dRcOLnXARNMRMBw5HHr6lrCdthbrTt7Ancc3cP/KGqwy/xwD/vxXvP32EIy298DmkDAEXPPGbvuv4GxuAisXd8xwHo9JpsNhqG8IE7t5WLrvKkIzG1BBv6eGGm9SqNDt0SCc1SahKHwDVtsOw4h+BrCauxHrT17GpYhYxCVlI7u8EbVNLWiuKUY5L2VeXYu6qmTEHV0ET70PoWdgBhPnOZg5ZxbcZlpjnOFoDO9vBLsJk+C6aD7mz5sDtzmOmGA8DKMGGsN++VmcSm5CdX0pyuO84bvKjl4zgqkFgXT6DMyZRv821YelxSRM2RCEgIdVqG0h/9mYibTg7dg93RTjjIxhPm4SXGZNw+yJVrAzMYOF3Vx47j+AY97rsN5uEEa99z7e/0APZgTkvRFRuBzmjT32n8Hi608xwNAJ9pPnYOF8F8ycYArLoQOgP3YRFp56hHsFLyV3ooYar02o0O3xqEFdYSSub5sG11GfYdAXX2OQniXGTnLFfI+N2HLYHwERD/AgpxxldS0iLdBUnYw7h2bDbfBb+LifAxw3BON6MrnWgmhc3zUNLn3/jj4fGcPCwwcB97KRX5KM+DPu5ED7wtDBC0sv5iI/5yZidkzEXP3BMJi0GWv9HyIpn1x0bjzijy/CmvGjMERvLhYc4fRAGRpyzuG8hzUsBxnDdsEhHL1FN4TiAhSnhOLatqmYaTAYRpPXwGPvCYTtnYIZxpYYY7UKO0MTkaIpRuqtozg47iOM+rgfhjoTvK89QlppMQri/XDF0wTjDc0wap4fAu8WvwY9NNRQ4+WFCt0ejza0NlWgIi0KMT5bsXvxZMwcZwzLMcMweuDXGDJgCEYaT8BEdwJdeDqyG9tQX5OK+IMzsWTUxxhsvw2rAwtRKDryViDVzxMbTfug35i5mH44GSmV0m+UxRzCiWkDYWq/BLOOxCAt9iBOzLbA2OH29O9YhBaLZAdFA5qyA3B9uzNs+pnBwd0Xvg+SkXZtFTY6G2KYqQdWn0tEhtxxuK0G1TEHcWauPowtXeG8ZDsizszBPPtJsJq4Fz6pZahCHQqjD+PwuI9hPGYCHLfGIipPi9by+yj2mYEldhYYOOEgjkdno+Y7aeFTQ43eGSp0X2XUF6PkUQRuBhyB9/ZVWLtoKmaPN4DpkK/Qr58BzOfux6FbeSgqeYj7R2bD02QAzJcG4cDtZlRxLrStFmkX1mHfhH4wmb4dKy+Xo1A7b0h57Emcnz8K1s7umLUnGI8ur8RWBxtYmCzD9jsFSKX3SNCl/7feR8qV1Vg0bCTsZ+zH1uBYRByYAffxFhg96zR87hRp38tBhMwLx4N9zphgMQnWExfB9/hMuIyfAqtJ++CTVoFqhu7NQwTdTzHO0R0L/YqRVK79eMUj1Fxxx4ap4zBk/B4cispEuQpdNd6gUKHbo9GGpppyVOSRg80rRXFtq7QkTl0NaqsrUFmWh4KUKNw4sgjLLL7EkBGOsF8TggcpsXjgPRcrzQfDZsUVHI5rQRUbR3KdArpO/WA2YydWB1egoEb6pfLbJ3BOQNcDs3cGIdF3KdbbjYOppRf2PyhCNn9cvJNw2kbONnIDPPWGwXHaTqz1i8blrZPhNt4SYxYG4GKCYlZ/npSk6CbSj7lgivlEWNm74uSxGZgiQze1QnK6ArqfYbyzJ5YEluGxErohS7B+ylgMsSfo3shEmQpdNd6gUKHbk9HWgrL7IQjbNR+eG45hX1gRCrrMaNeCxpRLuOFlArsxFjCaeRRx927g4fF5WG0+BDYrr+JwQlfomhN0V3WCrs88yenOJqf7MGgFtpDTNTclpxubjzQCnc7pNktOd/HwEXCYsQ9bLscibP8MLBVO9xTOxSqcLkM3NxyJe8npmpPTdXLDee+ZmG4/GZZapytD9xBB12GiJ5YGluNxhfbzHaC7W0BXdbpqvEmhQrcno60ZFbEnELhwMPRH2sBkcSCCk2vQpddUfjjiNppjgoktTOedRnxiNB6eIOhaMHTJ6Sa0doTuhP4wd+kM3ZPwmTsSVk5LMfvwDaTG7MPxmeawGe4A1+MJiJSdJ/ndtoIgRO6ahLF9jWC/+Bx87j9GSsgKbHAyxDCzFVh74THytO8GAVWTcIxc9BgYm83GBLctCDs9G3PtJsNq6iH45daiHo0ojT6MI1roCqergG61FrpDVeiq8QaGCt0ejVYCXDSSCVKzDIdiiMEMuO67hqsPc5DLqwjn56Eg5wHu+q/DpvGDYGI5G9MPxCEp8y4Sj8yEp1E/WCwPxoG4FlRqoZvq74Xd9l/AaMo2eF6qQL4WumUx3jgzezDM7Bdg2tH7yMmMQMx2Z7iOHgKDydux0f8BknNykZ91D/Gn3LHeYRQGD58FV/q9B1WlaMz2gc8SK5gPNIXt4mM4djsbGXk5yEsJQ+huF8wyGIwxzpuxyvsikgPd4G4zFiY2Xth3OwXZteXIDN+P/dYfws7RHW4BZYqc7kNUX3bDGmcr9Lfdif2RGWp6QY03KlTo9nQ0l6M6/RpCts/CfKuRMBpjBPNxEzFt9hzMn0sQnjwW400NYWo+GbM2+iEwpRJl5A7j90+D+5ivYL4sBPvvKKDrtxq77D4jkG7BsqBO0J05AKZj52LioRTklxWh5q43fD1tYa8/GgbGY+E4ZSpmTbbBeMNRMDaeAOc1gfBNrEI199NtyELK5a3YMdUQlvr6MLR2whSXyZgxwQw2Bvzv+VhyNBq3MlJQFr8NWwjao/oMhvkUT2y7Gg7fC/uxzfJj2DssxUL/UjyS08IVD1B9aQFWT7BEX5sd2B+hQleNNytU6PZ4UHW+qZJq2cEI278Eq6YT/KwtYDuWYGtnA3tbWzg4z8eirQG4EF+AktY2NNcXIO3qQfisc8dmn3sIzWiFhsfPtjWgMNYPV3YuwvoDl3AuoRYV2tm8alIjEX1kOTbt8Ma+60Uor6MP1GcgJ9obxzynYqa9BawtLDDW0hJ2E1wxf/0ZnE8oRj59Xs71NhXdw6MLm7BzgSMm2hBsrSxhbUXbO9Udyw+GITy1CnWtGjQWh+Pa7oVYamuFCY4L4OVzDb6RoQjcshh795zBqTvVyJNz17W5qLt7Ev57tsBjewhCk4qhvU+oocYbESp0X0kQeJvr0VBVKM2DEBeF6LCrCLsegajb95GYlo+CMg00Ta0SANua0aipRHVZCcqrG+h5+rxwhwzkGtSWF6OsshY1DW1o0brG1sY61FeWory8ChVEaOn5Fnq+ClVFPEfDLdwOv46IG3cQ9ygb2aX0Pc2dJsVpbUZLLX1HbhJtYySiwsMRGXMP91ILUMhzOmgnTmhr0aC28DHSE3he4BjEp+Qjp1KDqvISVFVUo7q+Bc1ySxx9Z1tDFWoqylFSXgtNIw8AUUONNydU6PaGIKg21RGANAyyb1/XftJSUx2fJhA30O818pTjzxGtTWhsaEBDc+fvkYOA3dqIhrp61BGNOfuhhhpqdA0VumqooYYaPRgqdNVQQw01ejBU6Kqhhhpq9GCo0FVDDTXU6MFQoauGGmqo0YOhQlcNNdRQowdDha4aaqihRg+GCl011FBDjR4MFbpqqKGGGj0YKnTVUEMNNXowVOiqoYYaavRgqNBVQw011OjBUKGrhhpqqNGDoUJXDTXUUKPHAvj/AUheMf3r4knkAAAAAElFTkSuQmCC)
In the figure shown upper block is given a velocity of 6
and lower block 3
. When relative motion between them is stopped.
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)
physics-General
physics-
In the figure shown upper block is given a velocity of 6
and lower block 3
. When relative motion between them is stopped.
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LsNf0QIcFB+PSD9/BdAqH+OB2E376NoqJigjul+znZyM3JQR6BPj8/j5SPwoICFBUWChUXFaGkuBglpcUoLS1FWVkZyoVKUV5ehsqKClTSzaGyolLcJISUxornqKqymsSP9HmhClRUlKOivFz8Dv9eaWkJSkro93kbSLw9RUWFKKRtK6Dt5O3Nz8sT25+bk0v7k4Ns2qfi4iKC6Q2YGRvig3fegqf7bMQ/ipOPiBpq9G+8ciDkC/PQwf3QGzsa48aMwnn/s2ht66sptxVtjXQB56YiLZHXUnmEhKQ0ZORXoqKhAx394ASVECD88F189//+H5Eu3ouKRDkBTIEJPwrgMXBKSlDGwCsl2BHoBJjovSypJbYKNTXVQrW1Nairq0V9XV0PNTQ0CDX2IeU1Vn09ietv5c/VkbiFlyW1bktAFYDUgmS5DEreVlYxAVIBN0O8gOBYQWC9HRYq6gY/+PfbmOPhTiB8JB8RNdTo33ilQMgpcGJCPGY4O+HXP/8J/vbH32HZEm88fpxCrrAfKvu+ZDAIP/ngXXyPQTheF5GREcJtSS6q2w0WFJAbLGQ3WNTtBAk0kjOTHKAExnIBJ3ZyGocnd1URXXQEJCWgPUs1NTU9PqeAj79XwJeAp3GHZQQ9dofsCsnt8fYxwAX4aLuFK8yj/aF9YVdYStsaGnoLFgxCcoRzVEeoxgCKVwqEfPEfO3IIY4YPxY+/+y385hc/xQTdsfTcEeFeXpV4EoR3BVwK5JQynwAiIFggpZxFBBnFIfIxKJPT4J4QZAByv8Qa1BLEaglqNeQQ+bGWHV59Pbk+Ej3W1/Pf3dJ2fgKIChQVqJI4VVac6BOpsgxCFrtAKUWmtF4GIcOdXWNYaAg5QhN8+O+34KWCUI0BFK8UCO+E34a1hTn+/qff4xc/+j5++ZMf4s+/+zVmubogPS2tV6PJwA1umPjkg/eeDkKCiKgXJBAKN8igIZWWFov3KfWBEghlJ6gBIUGQYcgAZLAxBDndZQgq6gXCp8JQdoWKM+yGIf1uGaXEGhBSOqwBYRGBsFDsQ15+rsblMghvh3JqbEKp8TcIhFTmuNxx0ftqS5/yO69GGX/V4pUAIae97EJ279iO999+UwCQU2N+/NkPvydaIk+e8BWQeBUKigJCqY5QF1EEQgYF16VxOqndQFIsg1BygyVyw4gEQSUdrqqpF9CqKclFSWE+CkqrUVHDgCMA1hIYy/IJqjnIKSSAVteiobEBjaSe9YPdTlGBIrvCvmEopcgMY3aFom5QaTih7WUnqwEh7Q/DkAF6OywMU80kEM7x+CaAsA2t1XRO6EZQWtX0Fa6H3YXO9iY0VFShpqoODXQ9qGNyXm68EiDki5S7czhYW4rOuD8nN8hp8a9+9mMBwzf/+mfR942d1aswbEuA8ENuNZZBGCWDkNJhbRAqLqukSE6JSQKEwg1yYwnBr5YujPoaVOYlIjH4LG7euIVbyeXIq2hEU3MzmuhCLYsPxO1r53HyWgzisstQ30IXrehA3ii6IvFwNwajBEcJiHV0zNlNKkDkOkNRXyhgKLlCpZFEaUnudoWcHucLGCotyNyaffs2gdBcdoSvLAjJlbXTDaMkHRkPghHkfxynjh7FibMBCIxORVoxHbu2l+kOue67hn4vCfdv3sHdqDTkNxOApRfVeEnxSoCQL6TlSxfjPXKDDL83fvojAUKW4gw/fv9dHNy/jy64cvlTAzeeBGGkgEp+foEAodRIIrUcCxCS2yot6QVCdoPk7jgFbihNQMr1LfBxMcFMj/XYeLMYyaVtaOtoR3NFBvKuLMd2bzdYL/LD+Xt5dKG2oq2thWDYLKmpFwxlt8g3IMkd1vVIlZUUmbeZt0dxhcr2FtO2M8jzlUYTdoS0vQxCSwKhqCPsZxBy5tDWRkBpbUVHe/uLZxJd9WjID8edgwuxwt4QFqYWBHcjWBkbwcRyDpYeDkdITvNL7KhPVG1ORG7UQWxauhs+h+8itbal37p+fVNjwIOQu3jcvHEdUyaMF07wlz/+gYCfAkIG44+/92389pc/FyMcuANwS8vAniJGAeF3ZBBy95mK8gq5kYFSW5EWd0NQaSlm9yVabgn2VTWUrlbQ+5LCEHFyJdbaDoXOv/6EzyfNwdwLxYgv5UVQO9FSnoIsX2cstZuCYba7cDg0G3W8qFYnpVvy9vAQw3ZyiOwOm5pb0dpBr4nhhTzBLg8t7EBLK0GDnWQjOcVqLVdI26S4QqX1mCVakAulRhPJEVaK/pIDBYTsiFNTHyMsNBSREXfEzeVForP8EZLPLsRSm8mYrG+DWcu3YPOOTdgyzwbTdD7HeMtlmHssHln1HS/HFXY0AQXXEXvSCy6zfbDkYBxya1UMvuwY8CBMSkrE8iXe5Pj+LZzfb37xEwFCyRX+hAD4MwmM9MijNVavWC5Ss4Ec3SD835p+hOywGB5KP0KlflC4QYKMaCQREJQ6OtdW5qAw8Tpu7FsAb1td6Lz/d7z3hz9hqMlCLLhcgoRSrkfqQmt5KnL8XLHC0RijnPbiWHg+Gnk4TXs9aoqzkZeVhezCCpTVSOlySyOlwEVZyIi/j5iI27hzlx7jHyMtMwvpGdnIyMxHURm5wSrutC25wh7psQxD3n6xPwR2doXsIsPDBg4I2d0GXL2COZ6zMWO6I04cP4o0AiM73s6nusMmlEcfw8nZ42A2dS6cd0UjoaIZTXQjacwJR8w+Z3g4L4DrhhuIq2ohL0duu64CJfl0DgtzUZSbgtTEB3j4MBbxj3OQXcKOvpLOQzqykmMRR89HP0zCw8QMZBRUopru5x2t9Wi8fwRBG20xY+0Z+IRUoaaZbmGtdCMsykBmUhziYqLx8AF9Z0qm9J0tfCOTN1mNF4oBD8LQkFuY7miPkUM/x9DPP8Xnn3wo+g/+gpzh7974ueiTNnzwZxg86GMMHfQJ5nl5ICE+XqQ9AzVeHISFMggpJSaxG6ys5NEflWjICUPC+RVY7mIHB5eZcHV3gPWIT2FqOR/eBML4si5Rod5WkYackzOxwskEo6cfgG9kETm+WjTl3kbQ3mVYu3gt1h2PxJ1Meq65HLWZt3Dr4BIstTeA2UR96E+ypO/3wPK1K+C9fAfW7AhARDo50bpaqX/hM0DIUkDI7xWO0EwbhP3XoZqrFC5fvEBgNhWTRAyjsjXbdQZOn/QTI3y4/PTsm0pHsyMbSedXYuUUPdgvPI5dsS2ooeyjjdTSUIna7EhEhUXg1r1sFDe3oaM5CekRZ7Bv9Xbs3bACu9a7Yra9MUwmTIbFNG8s3HsNV66cxc39c7HM2RQWU6Zgir4pDM1c4b7pHC4l16Cyvgz5AT446mGJRYdDcC6XsqSWGtTG+yNghwfm2hrR5/RhaGAMC4e5WLArENcS6CbVH4PoX+EY0CDkepukxEQxZdOenTtw5NBB+GzZhKmmRvjnX/5IBfhvcKPCe/DAfuzfuwe7tm/DBf9zyCKXM5DT494gjCYQsrviVFJTP8iSU2MBQoKNACE3WBBU6nIikXLzIA7u3IeDdEFfvLwT6yzGwtFqHrwvleCRFghzT83CyukW0HE+hLORySjPvIGwfZ7wtDDB1GmrsfZsLB6WVKOSXM29w15YbKVP22UEcxtHONJNaLrlBJjpfY5Bn5tAz2kfzsfnILehHjyqpVIDQq4nfB4IuY7QlED4DubP8URKcrJ0QPohuHzcCroJKwtTkWl8/9v/F/+gMmUwSR9rVq1AwJUryMzIEFUDUjTThyIRfmAOZo02xuxlO7H7RiDOHN6JA1u3iCne/K7eRXRaKUobuYmD/qsORqSvJ+yHjYG+jhHsZ86Cm8cseFiOx1T9URg9xR4209yxZK4H5nvSa45GcJ7wHiyGvgcdYw94HgpHSlY0Yn3XYa2dG3yuxOFBSyvqS6MQ7jMLi60NYW7rQinzbMwhkNobjIXuBFe4bb6B24X1qJe3XI3nx4B3hLwIVGOTVJHPd2m+uPbs2iEmKxj2+SCcO3NaVPRzweb6RK78b/sild/9EC8EQoIJD1XrdoRy/SDXzXFDSRl326D3lJSipiETGdH7sd16DOymzsMibRBWpiHvtBtWTTfHWPtN2H/iEK7t88A8s0kwsV+DNWcTkFhej9bOAqRe34Kt5iNgNMUZrjvDEJyYjbzsaESdXATvSe/j43fGYqjtHpx5pAVCuZ7wRUB4JzwcVgTC99/+F2a5TBf9QtkJKy3QX4vot/hYZ9PN0vfYUQE+rmvmblhcxcJZxt//9AdMHD9OzBnJbr2U9q+5qRgdFVcRtM0VVp/pw9rGBm6L7GE1aTT0hw3CiKGjMc7YE96HwxCa24QWKn9dNcG4e8gBU997G4N0POF++AEis0pQlXoGgRumwPiTt/HeCGfM2HUXoanFKMoORmGgKyLXjoWLiTVMZmxBZNA+3NizGu4O23AyIhsVKEN50mH4WBBMJ8/C3NPxiCyoR0NhJJIvrsBSm2mYOf8IzqZVolQqbmq8QAx4EPYO7sZxlBzimBHDMHroEDHLyavQd1A7XhSEAoIl0lhjBYRcP8j1bVWVPHKkCU3C+RJsHhAIrUbDzqInCNurMpB/xh3rpuvh83EWsDYaDyeTyZhCEFxPTjCxvB1toO+oC0fYbjdMH6oHS499OJLcgBJhhppQl3QJgcsmw3TMFAy12Y1TcTnIIxDW1JA7FRDrbjBRRpnwaBiWMsqEu91E3Amn1NiU3PyfxDhx74XzhdPfsd0H27dt/VrEv7Vn106sXrGM0lA9MROO0vuAG964QY6h+Mdfv4FPP3wf5iaG2LhxE6IjrqEu+QiCNk3FxLc/wMeDjTB1/iZsP34G588exvENbvAyHIMpVksw90gs0htb0dEQgrsHnGH14XAYzDyEfY8aQaeFIhaPzs3GzCGfYZzFBmy4W4Mc0R8mCyjZheqrTljh4AgTA0/c2uMOv60rYL/oKm4mVKGL8FaReACbjIZh0mBDWK67iFP3qbxUlqKuPAUJd6MQFZ2K7NoWabVINV4oXjkQ8kV3YP8+jBo2BCPJFV68cF64xlcpng5CqY6QndQTIFRSY4KgBMJK1FTXoq6+Du0dOci5vw/bCIS2vRxhe3UWCs56YoPNJ3j/nbfx7l9+i3ffG40hDodwPKZMSp86aoCcM7i80haGg23F4lhhlN7VcLVYeyfaCmOQfmIm3C2sMcp6N07HMggbCITVGhBqXCFtswaE8v4oILx75w6sCIR/+M0bIg1l0LCzHz54EIZ9TRpO8Bk5bLBofON5EX/y/e8ICHKjmwJEFvdO4GGcP/3BdzF08BBs37gE6bfW4/paI0x45z18MmER5vglI6WqjcofZSJZ1xC6wQxWuhYwcD2OgELunB6GqAOzYfOZIVzWXcXVinbUirbkeMQHLMX8MRPh4HkUvlntKBGtGwTC2uOoDvPCxlkzYKzjiDNzDLF3/QrMPJCEe7l8Z2ok9xeGwPXT4DmFUu7J5rBw8sLCVT7Y5XsRF8MSkZhXiwaecFiNF45XFIR7BQj5Irp43v+bA8IiBYTkqshZcarJXWfE2OIyaTSHlEpKI0p4XDHPNtPWnoPsZ4HwnAfWm7+H9998G58NJSCMGIdh+nOx8swDJDR00fEjEKb74vxiK0wcMg2zdt5CVGsXgZAg2NqB9pJY5Pp7YZ6NPcYQCM/EUsr8VBBK/QlFalzA+0NuVQFhBIGQUuM//vZXeJOc2OBPPyJnPxyjRwzF6OFfk+i3xo4chmGffSrqmBnKSlcsBYTcI4HrDfnff/3D76AzRgeb1y1EQvBaXF1jDpNPx8JkwVkcTe1EvcKb9nSURazGchNTGJusxd7kShRUhyPqoCfsPjeH25ZruFHTijrRaekR4q8ux4KxBpg29zhO5rQRCPn5TLr7HCMQemKLuzMmfD4VGwzHwmfNeqy9VYGUavFL6Gqhm+GjCwjc5Y55VuMwadjHGPLxxxg8XB+TbJdhzfG7uF9EwFRZ+MKhgrAf4vmOUEovFRhKIOzLEb4ACKsyKTWejTU2uhg2cRaW7NmJ/Zvd4DZpHMxn7cSO2xUobiRfWHoBAattYfyZJaavv4rgWgYhOcKOLrQWRiP1mAvczCwx8pmOUGuoXR+OkFNjBiEDyNzECAfpPN66FYSgmzy5LE8y+3UoELeCg3DpwgWsWbkCuqNH4rdv/EwDvjfokdPjP/3u19AZNQJLvRdR1nEJj5Pvo67wCkJ2OcFxiB7sVlzC6TygWVMrk4fqOB+stzCDmcFy7EgoR06VNggDcFMbhFeWSSCcQyDMVkCYAVQfQ02oB3zcbTD8XSM4fzYZG9cewKmsRhTyCeVGmNYG1BdlIjcpGg/v0rG7QO5+uzeWuZrAlCBvYLMUq67macCpxvNDBWE/xAs3lpB6N5ZIdYTdjpCHwLW2PQOElenIO+WGlU5mGDv9AE7HPEZhIrm/RRNhPM4a1ssCEJhRicaGh4g+5AG3kWNg4rwZ26NKkFVLaR+5j9L7J+E/n1cDnIThNuQI+6wjlCZg0DSW9AFCbhyxMjfDR+9yq7GX6BHAk+rysMiOjvavTfybjQ2NYqJYawLXb37xM/zoO/8jumT9jRwgly1X52lipFJiYgKamprQ1cV3hWwk+HvDe/xwOkY7sC6sBhWK62qKR/ZFD3hNMYehzQ6cyqxGRe1tRB4gEH72bBD69QChL2oJhDtmG+GjtyZi/CcuWL/tKqLrWtHAv9NZitrsOwg5cx5XbiQgmb6zmdfyaUxDRshWcpDvQW+UKax2JSEinz+gxouECsJ+iP8EhJpWYwJhtQaE2ciO3oOtFsNhZeaFBRdLEFcqgbCtIhW5fjOw3MEYIx0Pwe9+MVqbU5AXtArLjEZjwiQ3ePnG4B4BLCNsDw5MHwPTiVNhvfwkTgZRinX3Cq7smInZuv/GB+/oYLjdXpx9JIFQ02osg/C5rca3GYTcfeZt0d+TO8v3VzQQCHmZAZ4olusHWdwnlSeF4KUTeN5L3r+eZasRZdFHccJNB8YGjrAkVxiUko+Cshxk3TmCU176MDd0he2qIMRUN6G14Rbu7JsNy49N4LrpKgIJWrUChLF4dHkJ5o3kOsIj8M1qRbEAYTqB8Dhqbs3CNudR+MebY/CBzmpsOhGHopZOiLFA7WkoitqODbbmcHBYhXXXUhBbROWgmkAYeQDbbUfCfIoj3I6lgk61Gi8YKgj7Ib4UCOXUWBuE3Y4wG5n3dmOz6VBMNfHAvAtFiCuRQVj+GDknposhdkMJYkfvFPLc3WgpuouQ9VPhPG40RltvxMbAx0jNj0PilTXYOtMQxrrjMGXSFJiYmImWZrOxH+HDTw0wynE//ONzkN8DhNyX8EX6EQ6gkSVyh2pzY0O8+9abYsLYPTt3ii4+7Gb7nryDUFSZiNQrq7B++mQY6kyAuZ0zXGfYw8ViIgx0jWC72BcHIun80Oe7am8gbPdMmH9oBJcNV3C9uhuEcZcWwWv4BNi5H8ZxBYRdaVJqHOyMLXYf4a9vj8DHjiewN6QCjUp3xi465xnXcXm5JVz0RmDsRGvYuHpivtd0zLY3gtEkSzh5H8HpR+UoUWdmeOFQQdgP0RuE3SNLngbCkh6OUOlCw46QL+im5kIUPr6OS1uXYvvWIzhxrxxZlW2iP2VLdT5Kwg/g7J7NWLHnJsKSy8SEAJ3NlSi75wv/zd5YuGQPDgXHI62iCIWpd3D3zDZsX+gCNwd72E+bi/meHlg1YwIm6FtjlNMhXCYQFjfUoapampLraR2qeX84LX76yJL+AyFPJsEOddP69Vi+ZDGuXLqIspISdAhn9ozoakJTWSwe+m/Gdk8bOFqYwtLYCNY2zpix5ACO3c5EOuWw7N+6GuKRHHwMu7y34UgAucDGdjQJEOYg98FZ+K3ehP2+txFR1o6aLn6+hExnOJqSDuPa3oXwWrgaK0/F4U52B9q0uNzZTMf7/ilc3DwbnrZmsJlqARvLqbC3c8Gs5Udw5FYGcura1IkZvkCoIOyH6AahPOlCpAzCAgIhOSgGCINEG4TSmiXcatzdl1CaUp9dYRWqK0tQUpCLAh6fXFWL2npeZ1qaJKGhuhQVpcUoLKX30fM8gUJbayta6ytRVcywKkBpRTZyUu/j7vUbCA25h5ikNKSkZSAtPQspt88iYKUxLE3toet+BkFJeSivr0VVlfZY4ydBWKABYa7Y3oEEQu6An0fHOiM9Xdx8GIx4wf6oXZ0taK6h452ZiMSoMNwJpZtHTArS8um8kHXTmLdOOv51FSgrpONf0yTGeDMgeT2d1gZy08V0g6usR307uXfx2/TJznoCXTlqyujYFdDxpBS7npxdz03roPfw/JOZyE6IRPTtYISE3kVkbCpS8+jm1EAQfLFdUUMOFYT9EE+AMOqucHt8QTI4pJbjbhD2NfuMaDCpqhKqqeH+hAQ+BpxYkL4eTZS6StNq0cVIdkJ0U+vqQLtm+q0WtLTzQDAOshudOXh8ax/2uDlh3kIf7ApMRlx2PoryHiHm3DpstB6BiaazYe0ThZjMUtTU8ZhnSotpm5TO1BoIkkQjCYvcoJh9ZoClxjyOmGHY9TwH+LzopGNOx7f/uu1xK3Iz7Qt3jFfjy4YKwn4IBYS9J2blKbh6z0eogLBEBiHvP0vqS8jjjnn2aHIHlCLznIHcnaZOPPLqdQoMCZIMRHKI7BKbmtgtNqJR/JuASBdSa0shsiIO45jHFDgYGsHcZQkWr16HrRsWYrHrVFgZmsHR+wD23s5HVnGVmDWlokLqNsMdvoUbpO3VuEGuG5TTYgWEtwcQCNVQQztUEPZDPA2EDI/uGaq1QUgix1XK/Ql7gJD7EzIISZQm89RSteQOuQGFJ1OVFmxiEHa7QzHnoAJCMRmrBMTGpgbUFSUiNXgfjq6aAdepBEODKTAxNoGVoyfmrvfDqdAkpJZVo5x+T2kt1vQffB4IK3g5z9vfgBmq1fgmhgrCfggBwt5rlhBQCggcCgi102NOORk0oq6QXSGJU2SlPyGDsIbFMJSdIcOQXaGyDom0JokExp6Snq+vJ0A2VKOuLB3pD4IRfN4Pp48dxbFjJ3HmcgjCHmYhq6gSNfWUEldV0O9ru0ECIQFbgaCYnZr35Ru/Zoka35RQQdgPoYCw9yp2inviR2XdEgFDAUJexU4adyzGHgtXKNUXChjKzlDAUAai5Ax7qhuM3ZKm4+fX6bGuHnUNjWhQ3GI9wZJer6Pvq67mUS0MQblukCHIblCGoMYNaoGw53KeoRoQqst5qjGQQgVhP8STIIzoBcInXSHP6lKqcYVa/QqVhhPFGWqDUJEWCLVdIk/Y0A1BaQlPXrCpjp2iDEJeB5lBWMvD6XhW6vIKDQRFSlxKEJQbSbpBqKTFPUEYGsLrGhtLdYQqCNUYQKGCsB9CWuCdU+P/jYkEwrt374j6P04jGRoChgwSAiF3pRFLegoYSvWFGhgyCPuAYW+JdFlL2mDs/ZrUJUcWfZa/kxs6OLXVdoJSdxnZDcogFN1/hKRO1LwfDMIc2icGfcitW7AwNZJSYxWEagygeOVAyBfk4YMHxEwiI4cOFh1hO1+BJTy143ZYKAZx95n/lkeWRN9DNUGIASfSYF4nl0BTxvVwAnRSv0HuKsOjOVg84QGDjFuI64XLI+dG4slpNY0gJG4pliStViekrF4nr2AnvSb9W7Qqa32e6xF5cXjhIGV4VtNvS6DsCUveVt5mMe6YIUniyWULCZL8/vCwMLkfoTTEjsfxqqHGQIh+ByFPqsrDmVqapRmmRSdg7QtVS+30vmJyRPv37sYoguCIwZ/jvP85+mwz2tpa+/zMQBLPsM37yivtffLBu6LVWE9nDILJIfI6GenpaUhPS0MGPWakZyAzU1JWViZysrNI2eJ9eXksOX2W6xK5uw2rqIjrFNmlkXskiXRaiODa4999/63Ai4FcxKLvKyyi72enR7/Fv6k0gAjHR24vl7YrJytbLJGQmZkppriX9iENabQ/qampYtt5+ntTw8n44J1/wXO2G2IfPkR7W7voz9fX8frmSSrbnMG8apMJf9Oj30HIa8pyuvUg5r4YBB8WEoLIu3cRGRHxhB48iEFQ0E0xs/Ggjz/Ap5Rebtm4HjHkqKLvRfX5mYGkmPvReBgTg53bfPDvf/0DP/rOt8gZvo/FixZgh89WsR6Lz5bN2CZr+1ZJO3y2iNdZ/NldO0jbt9HjduzesQO7d8qPu3aIZQx4BmbWXtbuXSR+fBFJ71U+L4m+T3z/dvpNFv3udv59H+xk8azP8rbxdm4nbdtKkveB92nr5o3i9Xlenhgy6GP86+9/gZWFGU6d8KXzHoN7kX2f72+SeC5Gnn0niso230B4ZI8YZKLGgIh+ByG7uQcPHmDj+nWwNjeDg621WM9ixnQnSdO6NWuGMxztbDB2xDD89Q+/xZ9JXMc203k6aRpmODkKubxUOXwpOfch1+nTxLZyOsyznfzg2/9PPL5LUOSlSFkfvU/iR/lv1if0HM+ozIvY8yP/zY5SiJ7TiP7+9KXpPVnS39q/If2usj3SNmm2i6Rsv9gH8fc7Yj94tTgx+enPfiym4jI3NhLTXc2Y5tjn8erruL6Y+jqPX15KuepTWuWzh5TySxLnncs0Pe/l7oZr5Iy5EUuNgRP9DkKu27p69QrsrC3FynR///MfBBjYMfXWu2/9E+/86+/451//hL/8/jekX4s1J9791z/FZ15M9F76nh4Sn3+anvId2ur1fe/1+lt533tvvYn3334TbxEQ/vy73+CPv3lDTAD6FwI6g51nQ/7rH58uXsa0//T7Pp57Un1tN0u8Rvv4p9/+ivb91+I8v/PPv4lj0uNYaomPo6Iex5P1xPufcX5662nfpfm39nc9T9Jn/q31ue4y+3fx+M6bf8db5IJ5v/l1dspcFaHGwIl+ByFXvvufOwvDSfpiCvfBgz6BicFkmJsYi64WnELZWFoIUDrY2mCagx25BUfhJPgu60Jugtc9nk5OQJFwFPQ8v6aIXQcv5K3cofnz4juEyFG6OGs0i0Xuc5arC9xkzWbNZM2Au0auQh6zZsLDjTR7lpCnkJu4+wt5sGaLTsSs+XM8sGj+PCxeMB/eC+Zh4fy5WDhvDhaRvOnf3vSakHh9PhYtlMRVAou1tYi1AEtISzVaiKXerEU9tbjX319Y9J383aQlQgvEb4tt0Nom3kZpu3n7ZYl9kvdLfs/CeXMx38sDcz3dxSLryrFRxN1rpOMoSRxbPsay3OmYK8efz4Ubic8Rnys+b0J8DrWkOcdyBiHKAJWFGULdDk673HBZ4/IklS0uZ73kYE9l0h5OVC65fHI5taXyaknZjYWZCaaaGcOYyjM3EPEaKLxAFC8XyvW3agycGBAg5LWIjSbr421yCK4Et31794iV6nyPHcOpk344d+4MLl28gAByjoHXr+NGYCBuBt5A8M2bCGIFkYKDRaPDrVvBkkJCEBp6Sxb/OwRhYSGi5ZKnX2JFhIeLBYXu3uE6nAipblIoElGRpKgo0j3co8f70fdw/z4rWtRncl0fK5bS+tiHDxAX+xCP4uLw6BHrEeLj45GQEC8m+OTWUZ6ENCkpCSmkxynJePw4BamktNTHSEtLFUonZYjGknRkZpC4oSQzUzRCsHgJStFoksPihpNs5OXmID83V5JWA4rUjUWS0pDyhVTA4gaS7kYS0dFbdIuRusbwb3PXGG4IEdslb6PYXm404cYe3g/aH6XxhBuD0lJTad8fI5WPAyklWTouyeIYSeJjFx/Px5FEx1Mc17hYOs6xopHlIR33hzGsGMTQ+eDzwq3v0ffofLH4vPE5JPE55bo5PsfS+ZbEcw9yOeDJIHjNZW7NDyNxWQkJuUUKobJ0S0ztz2VLkShvpJs3b1A5DBTl8TqVS85sLlI59T9zBidPnIDv8WNCe3bvgqmhgagG+f2vfoENa9eAZxNSY+DEgAIhpxHsBHyPH8fZs2dw4bw/rly+RPC7JgojF9IIuQBHMLy4cHNFu4BWJF0AUdLFwKILIyZGkXSxPHhwXwIXXUxxdDE9ipXAFR8nXWwJBK/EhAQSXYyJiQQwSQJgyXTBpqQIgPGFzBe01MLLFzkpM70bWASGbAKVBKsc5HIrKwFEAEpASplqi8QdkZ9o5eUJFiSJoXTcfYYkuqlU8fRbLO48LXWg5vomHvmhTLZQX6cMm5P05LC650vzeR5pwp2sWfz9JP497u7DXXi4WwwvOs/dZ3gbRX9DkuhKUyZN0VVG+8PdgTgdFK3SRcW079z5miEttUgXik7YEmxzWQxZAVhJArAyXDMIrkoLO7dKP6abyWM6N8l8jkjJAqpJ4hyy+Lyy+OYUTzcr5XwLqNINjMuDBNcY0SDH5YXBqsCVy5Ui/pvLGo8GEiK4RoiGkDuifDIor1+7hsuXLuG8v7/QsaNHYGs1VaTGXB2yYe1q0RdTjYETAxCEbvD1PU4u8KxYqvPqlcsIDLwuXB4XNAmCd4TEHf6uBEQulL1hqBRmhmCMXMjZSXChZ/GFEMcuTlZPGHaLLyZxcQkYJgs3wzDUAJEvSnZxorsLOTjh4jIJiIpzkztJy46KpTg1ZeRINwhLRH9CRcoIEg0MCYSSukeRaI8e0UDrPwChBoLyyBNFym/w7ym/zSCUtkfaPp6MQXS8FiCU5ink/ejufE0Q5M7XwnmyY5VvDmIkCgOQO2BLnbD52PEx1ECQu+XIEBQump0lQ5BuTnxeFAgqANQ+h3xuFSnnW3GXisPkFmzJXd6n8tMNQS5XivhvLmtSuSNRGbzDN+c74WIsNZdTLq98A79w/rzQ8WNHKWW2wl9+/1sBwvUqCAdcDDgQej4HhOHhlNZqwVAAkQqkcodWCqsCRG0YMgi5sHNKpVwAChAVECow1JYCQ07ZkimNY/eRmkKpHQORU1oZhBl0ofLFKoCYpfT/IxBmkyuUR4wIMQzZ/cipazcMpckVJDEI5am3tGEod17WBmHv0SLa8GLxxApfRL1BqP3dmlEo/LvcmVqIt4mdYPeMNMIJkgQA5X0SI1Bk+GuDUIxLlvsm8nESDlCIHbZ0Y5H6JqYjjSGYLkNQpNeSGxQQpHPTG4DKOdQGoDYERYotQ/ABATBGhuC9e6xuN8jlSiljCgiFEyQASiC80wcI/YVUEA78GJCO8ISvL/zPndPUC/ISjCEKCOU6HQ0MqTAqIFQg2BcMuQ+fqNuTXaHiDIUr7AVCBYbKxdTtCClFFvVaXL8nu8JeIGQJRyhcITlCAUKSFgj5whdOSEh7PLEMwVJyhnShMFCEGC4VZQI2Lw5CCWYMNmkKrp4jTp6lnlDk7+r+bpYGhqTukSUSCBnYwhEyCEsJhMINyvvF+8jAJykw7AahPCRPOEFJDENNfWMvELITFCAkSWmxdH56g5ClgFAbhnzOlXKggLBHXaMspTyxNC5QFpc9LoMChFQeuVxyOb1BIOQbON/IL5COHz8GO1sC4R++YSDs6vr6ukLSD3En9K+qH/rAA6HHbJw4QSCk5y5fuohrAVcRRCAMDbkl7rgaENKdWIEgSwGhIgWC3SAkRyhA2F34eztC0cghQ/CLgJAvTm1HqEBQA0K6qDnlk9xgNwiVESF9gZAvFAWEwg1WSuOJBQRJYgyxDEFtEDIEFUfXG4LSpKzSnIS9pUzYKsFQ+YwEQpby/Yo0MKRt4JlvesNQgJDEQNeAkPeviJyhAkKtBeA5LVZAqMDwCRCS+Dhr0mItEPJ5eZ4jfBEQ8g2TG8X6gqE2BFkaEBIEWbdvh2lAyDdwvpEzDLnO297W+psDws4WtNSWoCyfynIRnf+mTrFQmBIvl1WdQHsDmmorUVxGN9761q8EhgMQhO7w8zuB85RSaEB484ZoyVNAKNygFgRZLwbCnnWEPUDIFwlfMPKF8wQI2XGkSCBULkABQy0QirSYQcjpnCypjlCafEC4QZEW91VH2J0ac52aWKNEgaBIiWUIyuko181pYETHkB0g1+9pQ0wBoARBHuJFBVge6qVAUVvKe7vFdYb8vc+AoexKGcy8fWKVPRmEAoYChLIrfBYIZRj2CUKt9FgCodTyrEhJjZU6wr5AqMBQA0KSdlkQqbEGhOQKWVow5DKlpMTaEqmxAkIqnzyxBGcwCghZnOFw15pXHoRdrWippnL8KAThl07g9JGDOO53HheDHyAmnc51Q8fLXyulvQldpfHIeBCCq3fSEJ/bgHax7sTLjQEFQu5sOsfTHSdP+hEIz4uWt2sBAaKrggJCpdD1Toufnxp3g1C5ADROkKQ4BiG+cLQuJgWEfKFp3OBj+UKUU2NN/WAPEEqNJdzNpCcEpZSYQdDtBhUISvWC2nWDUkusBMEeABQQpNSV5wwUECTgNUuzTysTLGhAxwBsaUGrEK9x0VN9wVGBoQJE7TpD7W3gbRIpsgJDJUWWW427G0wkGCog5GMg6UlXqIDwWY0lSnr8pUAoO0Kp+5PcWCJajKX0WFLP1LgvEGo7Qr5JcznlGzffwC9dvIhLdDPnDIdByB3m//ibXw0YEH6x8c6t6Kx/jKSL67DZcQJMxo3HpMmTYDplHCbqW8Bu4SEciy5DQf3LhVRXYwXq7u7BlR0LMXffXVyIa0LrVzDHyoAG4aX/EITK3ZwLNVeEa4OQ9VQQkvjCeREQct8/bRBKabEkvpD5gs5jySAsKNAGYc/5BnuDkEHSNwglGPIkqg3k8pp5ZulSAm4GbVsagaOoCrXNbWjraEebWNiHAFZF352fjYJicmu1zWjqBURpQoBudYOw2xkqKffTQKjUFwoQyjB8AoQyDCVHqICQF3oiGD4NhNxo8gIgFK5dbjX+siBkV9gNQm4weXEQskJDQ0V5vX4tQNzIGYR+Mgj/MoBAyNlIMAGb+7nyOX5u1OegLGI7ds6cjEljDGHptgLr9uzDvo3zsdxeD+YG9rBbfQ2BjyvxAt/2wtFWnYc034XY5ekE9yMPcCWrC23f9NS4Jwj9XyoIRatxXyCUYSgAKF8s2iDki6ovEAoYMgg5Lc6QQCggqAGh1J+QL2oNCNn1CAjKINRAUAaEFggrWAKCWnWDBBpN44howCBAFhKQo28ixP8I/A7uwf59dGc+FYAbUQSHAoITOcHWtkoUP76NKEpnroTE4X5OE+qa2sSKduwQefaX3u5QgWH3+iZKmiw5QzGbtTYQFVdI26ldV9gNwp51hcIVkqQGE57RWm40eRoI6ZiKPoSUGisg5OOvASHXEaZ0N5j0BcM+QSinxgKEWumx1H3mPwMhtxwzDLlzteMAAyF3NOfRViuXLRV9dPm483l+WnRSeprtPx/LXBwxdc5x+EVkoYRuxLVFD5B9cQ5WWehjpMF67AjNQBHoBtxUgfKCIhRkE0AL0lCSlYCMR3Qd3r2Lew/oWsotQRmVn+oSukYS7yM2iq7je3Ru0qhM1LSiWbi+NjSUPkTQhjlYOWM+fEKz8aCqBfVl9Jlkuob5MxF0nT+k78uhclZHN/8vuZrgAAWhVEf4MkCoQPCpIJQvDAV+2npRELJLEY5QA0K+cHuBUG4kkUD4lEYSLRAqU/ErEGQxaBTw1DfVoiL/IR6cWYENzpNhoDseBgYGMDfUg5GeHiZZLsSSg2GIKiZwtRUh9foW7J9lCo+1/jh8vwlljZ2UGvFSlJJaW1tlIPaGIrlHGYjazlC7Ww3XUfI29QYh9yXs2Z+Q9k8LhNyVpjcIn+YKu0GoVU/IMGRnSOeCQShE50g5ZwoMlfOpDUKWAkEWT/zxn4BQacRTOlXzIIArly/jMsGQ67x5spCBlBrzLOnDPvtUjIGePGE8Vq9Yjrt3wsX57Cs66wpREX8NwQHXcTEiF3nVcn7amovGu2uww3EKRk5YiS230lHUUYKKpAvw27IdGxYtw2EfNxxaaoXFtvowGqeDcRPtMHPNPhy5GYxLB1dh8/SJmKo3Bjo65DS9yHUGZSO9mr+8FFU5/ji0kNLi2XtxKaUAWblRuHdsEZbaT4ax7ijo6ehigoEdpi07ikOhtF31Xy5vHtAg/LJ1hPfu9QLhsxzhVwRCvniVFmO+sJ8JQsUpkRgafYGQASOlxVJq2lyVjLRgH2yxHweDMRMw2XkJFm/wwR6f5VjjYQGLsWNhaL8S664RNMqzkHh2EdYZfgpTj0PYFNaIEvnm351ldKKznaFId/MOpVuE9Eh/ivok/q+zk15vJig2aLnC54BQakGW0uOXA8KMbhDSOVAcoQaEPEzvC4KQywOXD+06QgWECgwlEGrBkEeV9AFCdlgMwqtXrggYnvTzIxDaikknuLFk84b1dC6rxBHur+Chpp9++B6+/z//jTd++kMxwxDDmqd24+nCeASTdnR1tKKtkcpfbb1Qc3kOih5HIuLifviucIKn00w4r72OwLRqtLSnoiB0BRYZ6kLnU12YOMzA9NlemDPXCws8nOAwYRim6FL5dJgJF/d5WDR/LhZ5TseMyUOgp2sEY+8LuB5fT5B9jNLojVg7byU81lxGVGok7p9fi00OBrC1d4XL3MVYNt8Fnla6mKhjBhPX/fCLpfJF5fWLGsMBCUIeX6wMr+MUIzjoBsIIhFzQngfCbhj2BKHUdeZJECow5ItEG4Z8ASnSgJAuNA0IUwmEdCEqINTUD5KkdE6uH2QI9gFCAcFCqU+d5AR7dqCWQCj1HRQQJHH6WVvXiDoCUGt+CB76emLWZCNYzPTBvns5SC6pIBgVIfehP0556MJqijlM1wbhdloKki4swybTwbDwOowtd5pR2kQHv51S7GICTVoGsgsJYJQut7SRA6wmUGXEI/kBHc+7BIGHBJWMHGRlZCM/OxeF5dWooItB03DyFBCK1F4DQnaFPRtMtEEoqgsYhgoISc8FoVZqrA1DZbxyXyBUYMjnXQFgt/quI1SklDMFhlz+WNogvB3a3amaxx5zf8JTBEInAiHPwPOHX7+BVcuXiv0Rx46rFEhVX5N4TRqeAPkqAZqnSPvJ97+Dn//o+/j1z3+C3/3y52IaNZ544tyZU3RTSRI9FjhjkG6K0o0RLVVoSruJuydXYZmzEQyHDsF4s3nw9s9AYiU5so4UFAQvwFzdDzHkE2NMWHINnufTcIEcXW7uIzzY64QFOm/ivffHwWj5OZyKL0BmQSIyznlhpeU4jDFeixM3s8gQRiLr9GwsWrwFi/yikPL4HC6tsIT9SCM4+wTifEoVyoofI+f2duzydIGz4zrsCSc3SZvwRRfvGGAg/Cfmenng1Ck/aVQJnSwGITtCpTO1BoQyBJ8Gwt71g09zhNogVC6YPkGYJINQTJbwIiCUHGFfINQ0knwpEDaI8b7N+VFIDtiFbasolTgdgbjqVigNdi0lcYjebARXEwOMm++P67wPl1dgi8VwWM49im2RbZQaN6MjNwhhh1dh9fxV2HiCjmdhA0GNnNjtwzi22A4uRpRi6+rBxGY6Zi5bh2ULV2Drmp04GZWNhLJm1PNwvGeAUHQEZ8kg1HSufhoISV8EhL07VSswfBYIFQgqUsqCtivkMqOUHy5LSrmSpMCQQHj3SRCGySBU+hJyGVYc4T/+/Acx6QLPuel77Kh47QplPdxN7OtSQMBVMXHJ6pXLRVrMEOQZcd746Y/w0x98VzzyxLljhg8VM/mcorSeW+07OrTQ0liG2vgrCDm2HEtmmMBk6IcYPmYqbDbews2sesooUpEXvBjz9EZj0pSFmH+zFGdLgGwun11UdoOWYqftKHw6zBlzTz9CMoGrC5SSJ+yEr5cx9CYugu+VWDSlXEX4WissWrUf26OoXORdxuXFRpj60XAYee7FthupSC4op3KXiYy4aESFP8LjIro5v/qOUAHhSQLhBWl4HaUYXOfCIFQg2BuECgy/CAi54GtfEAMThFJq3AOE5AYZhPVluShOo/QuhrY3PV+ArbGNS1QDah8H4MKccbA2MIfx+hDczkhFCoPQciSsFp3G7ogy5CUFI2ynKzwtjGE2bQ3W+xMksjOQG3UIx7ynwlJvPIwt7ODk7Ax3l6mwNdKBzvufYKyOAxZdSEZEcSvE2OQ6CYIKCJXO1V8HCBVH+J+AUEmNnwZCVk8Q9qwrfCYIKTXWBiEDhmeg4Ylq9XV1YDBJX9LECV+bDCdPhNGUSRgx5DNyp78U4GM3yBPmiklz6d+/+PEP8KPvfgu/e+PnGDd6JKXL25Celk6Ak/HS3oDmohSCTzhu3/DDuZ3umGc1BYami7DmAh3z0sfIDlqBBRONYe3ogwPZTeDVaer4s+Qm226vxUFPc4wk57c9JAtiHp62KiD5AM4utqFtnI8zl2+iIOIYjs6ww/Itp3GhsBVVdel47L8am2x0YTR+AvQN7eA4cyG9fgCHLt5FeBIZh5Yv11oysED4FoPQE6dPnRIdUbmOhVOM4OBgTf2gSIm10mIFggoIGYIKCLlAKyDkAq6AUCn4ysXwQqnxAAEhA6e2plZImm2GoNjYhObWNrQ216Kx4A7u+83DnIkjMMVsIZZezkBqRT4eXyQ3ZzEMVnN2Y9WRK7i43QPzLabA2H4lVlPhjSOHV/s4EJGbzTFtymTou+zCwVtJeFxAKXH0KZxdNBGm7/8L739mA69zibhDIBSNJ1ogFNvHMJTHHnNapZ0aCxCWEghpf3m/+RiwJBBKMORjxMdKwJBAyMewBwjpOGuDUANDZczxM0CoDUMFiN0zzyip8ZMgVMrUs0CowLA3CLXrCHlC3t/84mf40+9+JSYX/tff/iLrz1+f/vEX2o6/iDSdodwbgr/8yQ/xsx9+F78kQPJsOUM+/RhLvBfgbngoqkuLKAtoRH1rJ9q4Pll0wapCfXEognzsMW30eNiuDMDZmARk3liJxZMtYOu8A8cKmpBK1zrXxmhA6DUVo8y4lTkLFfw8gzBpP84usYPxJC+cO30ACZe3YrnNAqw/dAsPWoBWbtzLv4e4c2uw0c0UU3UHY9SnH2LwZyMwdspMuK33x9WkcpS1vsqOkO6MDEJe1+L06W4QcoHigsUgFHddnnRBHl6nwPBpIFRgyCCU5g/sTotfZRDWMAi5D2FjI5q5dZdbfpvr0FBA+39iIZZYjIKO3jS4rA9AaB45yNYiJF9YhS3GH8LUzAJTzO1go6cH8+krsfxsAh6UtIL8HYrv7MFRpyEwMXPHzMOpiC+TW+CaUqhgL8Vyo1EY87k15tNnwou6HSGfQ1ZvEFZU9qwj1AahcIUyCKURJi8GQj7OEgxfHIQKDJVzrMBQgFC+KSogfPhAajXm+SdfFITKzVkCYagGhL0bSxhEv3vjZxgy6BOxmh93qWE52Fh/bXKylyY31h+vK2YLZ/ApMOQUmd0gu0ReMmI6ve/g/n2075HITYlGduRlyswiEf64BuWNUtEQ0ZqOR75umKszDGbzz+BQ2ENkBhIIp0yFHYHwOIEwjd6mDcIDDELT9cIRdoNwH84udYDxBDec3eaNsCPL4DxjD3bSjbqsq5Pg1oKWSrpu0mOREB2K2wGn4X9gLTbNtYHtuOHQn2AHtwP3EZrfhS9qDF9BENLdt49xxi8EQrmxRCn8ryQIGTgyePju3NhCEKsvQXnSNdzc44n5U/UwQd8WTmv8ce5hCao62tHZXoiki2uwYfKbGPvhP/CPP/8db/+D0lz3o9hzvwlVXBeOfCReXo7Vkz+DhfNWbApvRWE9ZdpUALu6SlCZfRJH3M1hNdwKi8/G4/YzQKiZjeYZIPyyjpCPM+srBWHMVwPCv//59/j9r34pZsS+dOEC7tymLIfK9W36zNclXkSKJ6z12bwJ/37zH6KOkMX1g7/95c9F67GVuRk2b1xP+xMmzitHa1Es4o/NwYo5CzBnbxTu5pFFE9GCjrJbuLneEnYjdGG9+irOxnY7Qrvp258LwnJ+nkGYuA/nlk+Doe4MHPK0woUtHnBcHQjfO1XooMS6pSIaUedP4dSJYNwrbpM6bndRWUs9Bz9PHVh8Ngj6CwNwIr4TDaJMv3gMOBBKqbFSRyiDUE6Nw2/3nRorMFQKqgLCnqkxiQv6w6eDUIHggAYhO0IGTx1BiEd91BBMHvojYJMjXCeNhp7BDMzcFoibj+nzLR10FyUQtuYTCFdjrf6/MOTdj/HRx59jwqhBGGm+GF6HCRbl7ehCLhLOe2Op3uewcN2Fbfc6UdQggbCTimp14QX4zSMHM8oKS871BGHv1FgBoYBhbxAqbpD2m/VEHaEWCLmO8GU4QuWcKgBUpA1CAUO5+qSv1Fj7JtsbhE9LjXuDkNdu4e4z61atEmWgtVXut9lMrv5rEi8l2tnZKereP3r3bfz4e98WjpDTdv1xOli9YoWYvZvPF2+bEh0lcUj1nYV5puOgY74Uq06GIupxGlITghF5agGWW46Dnt5seJ+OR2xpKrKuL8VcXSNY2G/F4fzGnqlx6ArscTPG5warsSU4sxuECbvJEdpg3BBLeI8fib0LXOB1PB7XMvkNFajN8sOJ+dawm+gAr703cSmeykI2nf8Hp3FknhHsx02A3aYQXE7vQtMXbDYeeI0lcveZ7rkIryE4KEjcabmgRfAg916O8GkgVNQNw75ByHrVQFjX2Iz66nwU3/fF6RU2sNfThYH1AizaH4TQ9EpUtZKT48HpXW3oaM1D4vnlWGf4CfRN58F97U4c3+yMGYaGMHLagb2RRShoK0PatdXYYDAIpk4bsOZWPfK5+Y1B2FGMivTjODTLFBbDrODdyxEqIBSNJdqOkLaf9+OpIKRj0GdjCR2rpzaWCAj+Z40lAoIkpX5QA0Jyhc8CoVK2tEHIUiD4fBD+Fn/8rdyPkI5Tf0ZoSDA+ef8dUU84ZsRQrFi6GAG0rVyuuRP9E9FUgpqEMziz3Ap2uiOhN8kMVtOcMdPBGJb6o6E/xQnOGwIRmFpFWUoKcgKXwEvXGFMdtuIIgfAxfYVwcC2VBMKV2OtmgiGGawiEGd2NJQl7cH6FJcYMMob1uyOxzm0etoTn4L7UykKO8D7uHZqDxYbDMH6cEQxtZ8LD0xWeTiYwn2wK8+nrsOtWFlLp/a9+9xktEIp+hNxqrAVC5e7bE4TdEOwThGK6/u5W468HhDzFfN/9CP+z1FjqyNzcQJ9JuoKA9bZwnjgWOkZemL8vCLeSi1FeU4XaGh6SV0PAbEBrcw4Szi3FBrNhsJx/AnsjCpD7iFLnOZNgPt4cFmsCcDGtBNnRR3Bq1giYGU2Dvc893M1pQDOBtLX8ARL952HhxGEYOdgG87iOULuxhM6hAkLtiRcEBL8MCOl4vQgI+Rz8RyDUgiDraSBkacOwL0fYFwh7txorIBwII0t4f7h+khc+O3xwvyjXPLro6UE31tYSFMWcw4VNnljgSKnwVDPYWtLj9Hnw3nEZVxOrUcaVc50FqEy8iDNbdmP/kSBEVLWCl6oS397egI7UKwg7tQfrdgXgZnKZ1JrcQelHQShir+zDxlU7sX3+ZlzyvYw7BdUokruFob0RDZlhiPJdgTWz7OBkTb/N9ax20zBr4Q5sPx+LxLIW6Xe+YAw4EM7x9BBjjXmKc+5jJXWo7qMfIafH3I+LCiMXzN6OkGcXFhBU3KCo/5FAqMBwQIGw14zUTwOh1KG6Fo15IYg54gzXEW/j4490oOdKLm73cZw5cxr+Z/xw9rQfTl0Iws2YdBRVpOHRWW+sNSS353UUPvfaUFpB23F1MdZZjcWY8a7wOEAX8sNQRB50wRxTfYwz98aqo9cQGEHPn/fBjhljof/2v/D+YDvM9U/q2X1GG4S0nYob5LRYOzVm2D8ThM/tUJ0pg7B7Ki4NCOm8CBA+Z4idAkPlvCsAFCIIKh2qtQGoSClnCggZgn2BUDMnoewIlQ7VAwmEXBbZZPCaPbz0QkeH3DD2zKDsoK0R9eV0rlLpmomORHQMXSuZhSiqakJjm9zhGh3obG2gjIXrjhvRTJkJf7t4jTIM0Hc01dWgqqYRja1cfSM/396ElsZaKkeUYVTUUNlqREt7R8+5DjvIGdbSdZKTjJSH9PtRdH0n0PVXWIHqxrYvPSHDAAMhjyyZrRli1wOEvR2hVj2hNgi5wPKjAkEBQlLvkSXPAyHrPwPhF0iNCQwlxS8IwoYmgmEVSiMPwN9zEMb89ad441d/xVuDRmHMWIKV7iiMGzkEOpTujDCYBceNAbib9ghx/kuw3ugzmLofwuaIVpQ1t6CrJBjBW+0xbdRQTLDbgE2XYxD/4AKubpuFmQY6MNCfCANDY1hZGcLCeDRG/ftjjBjmiEUX5X6EPPnrC4KQ9TwQiuNDIOQV+V4UhGmPJRhqHOELgFD7vGucIItAyDdNCYSSvjAIew2xu3r5igRC+4EFQp6ijZ37s13gs4IA1UZQapNB9kLxFEo9dzqwp7zeznWsrWh98Q14agxoEIpJF5SRJV9w0oUnQPgC03BpQ5DVA4S9xxprgTCdQMgXqAJCadIFvoCfPukCg1DAUANCErnC54GQ5x6sra1E0f0LuOnjigXOU2FpYQEbSlOsLExhZU4yNYIlydRpCebsDsZ9XmEv+gwu+yzGtqO3cCWpGdWcwnSVoeD+GVxYPwfLVu7HnuuJeJydhAx673mf+VjiYgcHK0fMnOOBxStcYD9ODwYjpmFlQDIiy1rF5AsNDMGngZBVptVYojVBa28QPjnWWAEh31T4mMqpsZh9phcIU77YpAvaEFT0VUy6wHXcTzSW/HbgzEeoRncMQBC+3NlnFCD2npj1i4KQL7AeICTxhSiBkF2h9qQLrF4gpItbAqE8Tb8MQpYEQUnarlBMxSXDkMWgYeAI6JSTgyzg75YcUw79ZraQ5ERFa2seQaa0CrUErMY6AmlZCcor6bMNLWgmJ9BGd/TmhhrUVtB3EbDyMgj4dy5Ja/o+oH3MYGdWgMLMSMRfW4Gl5kaYNNoDW0JSEVcrgZCXEdVsUy8QatcP8n4p+9gNwpc4DRedG75ZsXPXhmBfIFRgyGXgZYFQEWcu3bPP9JyGa6BNzKpGd3zjQai4wi8yMas2BBUQ9naE7ESEI9Gkx1LXjm4QSvWEAoR0cWtAKCS5QgWGTwOhgCGllgKEVTIIZRjW1jeiobkdbe2UmnRyCzH39+udQtDfHfIIAH6feIr7FTbLXTcIhu30OfFeoDE9FJF7ZmKx1zx4bb+GG7FZyC3OQ07MOVxZPxU2E0wwznoHTsUSrJqapUlaGYDkVJXJWRmEYiJZTov7mqFaC4S87xoQyqnxU0FIx5WPL1dDKCBUGksUEAoYEgi1zx3rmSBkvWwQUnnVno/Qj0A4EGeoVqM7Bh4IPQiE8polLxWEveoIFRAqeiEQch1hL0fYG4QChgKEEgz5gtaAkOu/WAoISRoQyjCUQNhr4SYCi7R2MKXIDEKCjnBhdOykFeu6l+wU0/SL6fqliVU1E6w2S1P1a+Ya5L9ltbQSLNvb0ZB9Bw8Pz8Q860nQN3aB59J12LJ9MzYvmQn3qZNhausNj913cD+3HNVNvP5xneQEFQiSKgQIu+sHnwChFgQLFD3PEfKx/KpA2MsR9lVH+DwQKjDk1JjLqTJVP09yMJCn6lejOwYUCDWLN9Ed9Lw/gfAig7D34k1U4BiGVPju3lUkwVApsNog7Cs1Vgq/Ir4olAtEAaE2DPtyhBoYcopGFybXWz0NhFzx3ycICQIMBE09oQCh3GhCUkAoHJZIOaV5CUWdoQxDPn6SpG41DCcGIndt6Z5qX5ICxyfFk6+Sa2woRVVmKEJ912DdTEs4mRnAzMgYFlOd4DJvE7adows/qwql1fQ7vTpSMwilbjOSG+RtZwg+E4R0DDSNJCxN/WA3CKX61m4Qcn2sBoTyOegNQu3UWDmXTwXhA6kM8L8VN9h7VIl2ueoNQwWELAHCkBDcvHFDXrzpIi6KxZu+YavYfQNjQILwhAaEWqvYUQETIAy7LUDIBa83CBV9ERAqjvC5IORWY77YervCFwGhrKeBsC8Y9gRhNwyrxOwuVRoQdsNQcobaDlGaUfpJIPYtco8tpMYKlGfTcbh9Bdf9T+HsydM4d+E6btyh45FDLrWeW60JuvJv93CDvI1iW+WW4lICIa9trLXIuzYIn1jFLvcpq9hp3KDSYixXS8h6JghlGPJ57QuE2tKAUFZvED4BQW4xljv4K46Q61dvaK1ixyD0VUE44GMAgrB7XWMuSFygxALvVMDCCIRKeizuwlQQe6fH2iBUYNgXCJVHbRAqF0tfIEyiC0w7PVZg+GwQZopGi9xs6eJmtyOcIV30ot/cU1whg0NKkbvTYwEY0WgiwVCTIvdyhgoI2RmKVl2NO+yt3iAkaPIjL/upSZ97OsdG+i52ggoEFSeo3YlaSHaEDELtukFerrSoqBv+Uv2gDMLeblA0AvUGYR8NJUr/QbnFuHdqrA1BBYR8vpUyoK3eIGRpg1Abgj1AyBAM5xt07wXelXWNjxEIv4ELvH+DYmCC0NcX586eFZ2qlfHGXMB6dKqWh9k9CUIutN0QVEAoYNirnlC4Qr4oeoGQpQ1CVlIiOQ0ZhgKCKdqOUKon1ICQLlwhAiFfzNyxWhuE3JVGASFLgLBQ7lOoOCeSBoaiKw2LQcOuS+5SowVCRdowVICo1B/2lOQWu9X9fCODT6sOkesZGZT19H38/fw7ihMUIKRt6d1SzOKLvUdKTPuoQLC7flCuG6RjogEhHTOlflDcUBQQshtkENLx5vpB5YbEENReuEn7vPVwgywtEGrDUNQP0s2Sy4niBBX15QafACGVS75J37oVJIaFckMJl1+eaZ0nYbW3UUE4kKPfQcgX60UqLDzpAoPQ070nCLkfFs9JKGaguR3Wo06GR5ZoQ1C6c/d0gtoQlEaXdKfGL+IGWUpqnCynxgKAclqWnpZGFyg3lpAjlAEodWNhCEqpcU5OrzpCUmEhu0HJETIAFQkAyo6wVEBQclgMGakbjdRowi5MU0+oqA8IKq5QUU9X2FPaQBRdY7S+i79bkYCuDGHJEUr1lmIhenl7BQjLpIYfUe/J6XERAVFe4J33m/e/Rz1hD1fY3WKsva5xzzrCblcoHCEDUSs1VqConFMBQzrXCgwVKUDs2VjSs56QpcBQKW8scTOmssgw5PKpdKbWgNCfHCGB0M7aEn/5/W8ECDesWyNucGoMnOh3ELa2tlH6exXGBpPBQ+zmeSoTs14UbpCnFWcIctrBSxDejyawsRhwyhhiAhy3+j1kwMVKiosjwD2iQs+KJ8iREhIkwGnAliSlU8JZiAtKcnlirWICnCJ2IlI/QVIvl8cdfzWQy5cubL7ARQpIqWAxAYAlpbtSusgXgQS37lSXwabArbqaoUaiNFQAjeceVIBGwFKW2FRcm7RoO4v7BrZp1N7Oau8hHkrV2dmBjt6i5zvaO3q8V/u7eASCELc8N7Ok3xYps5xa81oYjbSdCkTFkqNi5Am7VYZmtWY/GerCPWql0uySSvgGwMeMHKRwj3QcpRS6EPl0bPPy8rWco+weZVAKWJLE+SLxuVNuWBI0u0efiDRaTqUVeHL5EMCkshJH5YbLECuWRWVKKmfdiiGJcihamO8JMPLUVRoYUnp8WXSoPgEHO17OU3KEWzZvFOdZjYET/6VdB/R1ii8ivsAYBGfPnhHTiPP8aO6zZuLI4cNiCcQzp0/B/9w5sSQij4vkbjQht24hJCRENJ5wny1Ol/lOLCZsFZO2SjPUCGmlzVGkeyxyjdFRdKe/R46RCjDXCSn1h1IdYgw5BC3X+FB2Duwk6OKQgMpOkRwHi51HktK9hi4yvthI4gJkoJJ74fpDvjC102ap4zM7RoKqAKqUOiuOkcfdKovBi9SZgKBxjiXkHHlpTG5U0epqIyTgQpBhyMoSXVpkKW5SwEhL4jl6XdT1KZK/RzzKsGKQC2iRGFpS2sv1m9K28VrFRZQCa9yexunJbk/j+GS3x2KA8Y2G019yfKIuUECMbkxKFxmScHwyvCS31+34hKPncxTb7fYUpycU053+xig3UwYYj0mn8nCPMgkuI1xWROrLZUeWkgKLekAqX/zIaTCXP17HOPRWiKi64UY90X/w0kUqt2fFdHK87MTBAwdgPdUCf/49g/BXWLd6pTiv0nKpfV8fr5XoRso84Jvxk31hv574ryWLFqI/tNR7IZYt9sZ8Ly+Ymxjhg3+/JVKH4UM+E+7Q1MiAnjeEhZkxrCzMYG1pAVtKL7iuxd7GWkjMumsriZciFDP+0iOP63SUxf92crATs/KyeNZdSfZi5g1nWdOdHOCsJZdpLEchXgh7xjQnIVdnenSeRo+KpsPVRdIsF2fMmiGJF74RmsmPM4Rmz5wBdyFXAr4st5lCHiRPt1nwnP2kvNxnY46i2SQPSXP50dNdzNjTQ16eQuyuhfjfsuaLRy9x3J9Uz/eyur/Lo8dv8O9yn09lW5Tt422VRNuttQ8etG/dkvZXcwz4eNBx4ePjpkg+frNmsKRjOpOOMUsc7x7ngDSdzgtLnCfpnPG5c6bzKKR9fvl8K6JyoJQLLieivPSSKEt2JLl8sUS5k8uhVCatYGdlScAzF8McLUyNYGZsCDMjQ7FOyKAP38fv3viFmPx0/NjRdHzcsISuAb4O+ro+XifN8/LAujWrhCPvr/ivH3zn2+hv/fDb/4Mff/db+PH3viUWjfnRd/5HPPcD0g+1/v0s/fDb36LHL6hvaemJ15Xv7uu1vsXb0GM7vqP1qPyb9MNv8z53v7/HZ2R9X0s/oPf3FD2nfGefko7ry1dfvyXrie2UnpO2/0n13H/pePR4j+Y7/xM95fw987w/Xdrb3F0+JHEZFeVULq/aZZbLMJdrngSV9UP5mH1fPCrH9vXU9+nc/89//x/87c9/xDnKDPsr/utXP/8Z+ls8OeQffvVLUX/ye7pr/o7+5ud++wtJvOCNEL3369av+0F9HaNXWX3t49ehvs7nVy65zAop5ZjEy3hy+Wbx+sF9HafXUW/87Kf48Q++h3+/9SYuXvCXsfT1x3/t27MbqlSpUtVf2rnNB0ePHBZ1xP0V/8UD9lWpUqWqv8UNJf3WWCI/qqGGGmq8tqGCUA011HjtQwXhQImOZrTWlaOyRO4rWFqFqoY2fMHlWQdYUKrT2Y72liapE3Z7F3hhPTXUGGihgrCfo6uTYFdfhor0aDwMPAX/Y/txeP9BHPG9gIu3HiE+txJVzQSTAQ0Q3jgS7UsrD9Wrb0Ajj1RBJ+1bCYqTopDwKAXJxS2o7V4qVw01BkyoIOzXaENzWSISLvlg3zJ3eDi7wtPdHfO83DHXzRXuLm6Yt+oQDt5IQWZta4/VvAZcdDagsyoBcTcDcNk/FPcLq1FHIKzPvYfI/d7YsfUQDt2pRIY6skyNARgqCPstOtDVnI2c0F3wsRkL43GTMMnJG0s2bMeeXduwc7U7FtqMgt5IfUx03IoDkfnIIzf1Ehbs+mqiowydmcdxxNsTzk5bcSK+GMy82sRL8J85Eg42c+B5rgRxldLb1VBjIIUKwv6Kzlp0ZF/EbR8nmI+dCvslh3EyNhOP8wpRxFNz5TxCauQB7Jo1GVPHmcJ++10E5nRJa4+08kQLPJFqIxrralBTxWOE6bGhGc1tbejgZQ4ba1Ernq9CdR29r7UdHaJrgrz2bBelrq1N4vO1VdJ45KqaOtQ1tqK1Q1mfVglOe1vR1lyPhlr6PjELDj3W0ve20PfwmrTNOai/tw4bnWww2Wg19kRkoIRS5fKESzjrMhx2lu6YfSobkbn0Hbz4PE80UUP/bm4Tab+0ZWqo0T+hgrC/orUC7Y/248rCSRg5bBpc9kQgtrUXDDrykHx5K/YvmY+lR+4hNLsJDZU5yAoPQMSNC7gRdAmnDmyFz/JFWLFiE7YcCkRQdBzSU8MQcmYX9qzyxoolq7Bmx1n430lDZl07pFVsW9FZl4XMu+dxYe86bFq2AIsXLcbK9Xuw71w4IjMJcrzap3gvRXs9mvKjEXvtEI5sXorVi+n9i1dj3faTOBWShvTiXFSkX8L1Naaw+vxjfPChIabO3YWTDx8hIuYSjrvpwNnMArYrjmKTz07sXUPbu3Q5Vm05Cr+gBCSVt6FxwFpdNV6HUEHYX9Feg/b007i1zgKThk6GidduHIzKQHJ+KcrI3dU2daCVHFxjaTpyE6JxP7kQheTeyh/fwKVFUzHfZgrsZs6AjbkxzMd9Dp3hQzF0rD2mey7Djp2L4e1qASu9odAdOgiffTaFwHQIvo+qUEpur7MhHfl39mL/PAtY6g7HmBHDSEMxdoQO9E3dsWDfLQRnNaJGtNC0orkgBjHHFmG1w3joDx+CsaPoM8PpM2ONYeK6FXv8z+FmwBassxyKMX/5Pf76hw/wyahp8D4ZgHMRF3Fo9jg4jqVtNLKDsaExpuoPh+7wQRg6WBcGrpuxLTgfGUxeNdTop1BB2G/Rhq7GJKRdW4Nlkz7BmA8/xWB9WzjMXYP1e/xw+vo9RKWVo6SOl+IkJ8cpcVcdSh+dw4lpQzDp/ffxuak3lh66iuC7V3H92ELMnTgEI98jUFnMw5IDlxFwOwhBZ9ZjhckwApALZh1JRHwZpcsPjuCM1wSYT7QgQO7D/oshuB1+FVd2zcUyi7GYaOgOt733EV/egK7WFKRdWYHFhrowNJqBGVv8ceFWKCICj+Dkmmlw0B0DM9cVWHbAD5e3Toen/lgMH+4Ity3nEJSbhfiEqzg5ezQM3/s3PtX3gNd2f1yNCEfYxV3Y76YPs0nmMF52DdcSq9WuNWr0W6gg7M/oakB9QRQijy7DemdyShN0MWmCPiZPMoCpmTUcZy7G8u2U1kZkIKe+HR1oRlncWfhN+xwTPx8HvXmXcTmxhpDaipq0yzjtOgwTPx6KYdOOwPd+Jeo76RMlkQhaoofpxqYwWxuEiMQoJPjNhfe4ETCatgkbQ4vpu3l4UwuacwIRucsOjrqTMXnaQZyJz0Nx5kUErTfDlFEWsPY+hcuZTajroPdTal8ZfQy+riNhYjIDU70PIezMIqx3scMUkzXYFZ6BItqy8pQr8HcbAYMhutDzOI2TD8pRR063syIR+afcsMhiCkY6HsDh8Dw0qiBUo59CBWG/Rzvaa/OQ9/Aabh5Zjy0LyblZTYLx2EEY+en7GDR4IgxnbsOukBzkNDag/NEZnHYZBgtjF0w/nIkHRdK3NOZEIHDReDgZm8N0UzTCs9vF851VKXiw1RRzbOj5ZecRdvsEbm1yhN1wc8zcRo6xugsN4p0UnVkoi92GLfz7kxdj/bUERAbugK/HeIw1W43lpxJQrp3BlsUh84gd3C3toG+zHBf95mDl7OkwnLoZBx8UohJdqEm6TCAcCStjZ0w78BiRBTLtGnPQGLoaO2ZOxWjrHdh9KwOVKgjV6KdQQdhfwa6og1wepbzcP7CzrQEN5fkoyEzC4/h7iA71x6X93vC2HAW9UROg634C/g8JVPFncG7WSNjZzoWnfxmlutLX1edE4sZSfcyysYf9niRE5XWIxo72isd4sM0c8x2sYLb0DEKu7sKVpbYwGzUDC/3uI5Z+vFn6Cooy1OSewtGZBrDRnw3vk/dw+fga7HHWgc70/dhxPadnY05dJuquzcVyOztMoHT62JHZWEggNLDYhAP3C1BB764WIBwFe2tPeJwuwENlzaKGbDTdWYc97tYYa7UdO4MzUK6CUI1+ChWE/RQdTdUoeXgdty/44dztLKQQBXpwoKsNbRXJSDjmjmWmI/DB+CXY6h+JkkencX72GDjYzcecC+VaILwrQDjTlkGYiKjcbhDG+Jhjnr0EwtCA3bi61A5mI12wwC8aD8k4doOwFDU5fjjqOgXWBMLFp6Jx9cRa7CUQjp22D9uu5fTsx1ibidqAOVgqQOgpgdBtOqbIIGRHKEA4azQcbbzgeaYQD7RBGL4Wu2dbEQi3aUCoslCN/ggVhP0U7dV5SDs1HxsdxmGy2yFKDQtQ+8TQkUbUhW/BUTc9fD5+ITaduq0Fwnl9g1A4widBONfOEmYrLlBqfBKhm5zgOMIULpuv4zrluprUuD0DJdGbsWHqRBgbLMWmG4m4F7wbfl4TMNZ4OZaciEORNglLH+DxPhvMsrDHRNuVuHiCUuNZ08gRbsHB2GLU0Fs4NT5PIHSw8XwChI1aINylglCNfgwVhP0UXY0lqAzdgMOuwzF0uBWsV11EYEY96tqkVeZE2lyXjkRfT6yw0MEw6x3YG5yMkvjTYqSGvc08eJ4nEJZL3ydAuHgCXK3sYLs7EZHaIBR1hGYwWXkV4QlRSD4zH8v0hmGK3Xqsu1mAHCJwZ2crmjIDEb7VErajJ2Li9CM4l0zpbf5VAudUGIwwgcUCP/hnNqOGxxG3laH0/hEcchoGA6NZsF7uh/tXlmKrqz0MTddjb0yeVEcojyyxt/aAO6XGPUG4BrvcLDHG0gc7gtNRoVJQjX4KFYT9FV3N6CiPRvzZZfC2mAAjA0vYeHEn5X04eOQQjh7Yjt1rveBlZQALi5lw2xeJiMJKlMT64oTdxzA3dcOM02WIlcFSlxmOgLkj4WBkCjOfONzJkUFYnoR768gpGk+AnncAbqUWozHlHK6vMIXdxMkwtF2AJRt3Yf++Ldi6wB4zJutgooU3FvjGI6mqhb4gGznBW7HBRg/Gkyxg7rUBG3fvxv7ty7DKzQzGOvqwnHcI+0MeoSRuNw7OMoDeJ5Nhs2gHTsYlIDz8DA7Zfw5L4xlw8c1HdLG0vajPREPIMmx1MsAgww3YfD0VZSoI1einUEHYn9HZgIb8e4g6wp2VJ2DK6OHQHUePBpNhMkUXE8fqYJLZbHhtvYqb6dWoIddWmXwVV7zNMG/OOqwJrEKKPHa3If8BwrfYY6nnHMz1TUUs5bAChFWZSDg4E2u9ZmDG9juIzG4GWvJQeu8gDs03g9W4kdAZo4MJuqMxYew4TDTzxIIDYQjLa0adaHhuR0tJHOJOemONgx70R43AeD1d6OmMgp6uIYxdt2EnQSyjpo7cZzBubJkO5xFDMU7HCl6HLuJYcAB8vW2xiCC/6moJEmQHi8Z8NN3bBd/lHpjqcQTHI3JQpYJQjX4KFYT9HR2NaCpORlrUNdw4cxjH9u3Enp07sGfPfhz2PY9Lt2LxKLtKHuXRhdaaIhQmROIRT2tV0oo6acwc2hurUJYajURe2zenDtVyC0hXWz1qsh4iJe4BHqSVo7yBK/koFW4spO8JQeh5gtCeHdi9cy8OHL+AS2HxSCisR32HVn1dRzOaS2gb715GwAl6364d2LXnMI6evYngBznIreaZcejdHRUoSQ5B+JlDOLL7CM6GxOF+dgHS4+8j8VESUooorVam4WpvpLenIycxFlFx5DorGuThf2qo8fWHCsKBFOT4mmvLUVlaivLKOjT0Hnv8ReMpH+7xNEOuthKVVXWoa+58zuw23JG6HnU8QUNtExqlroo9o6sNHS21qOHF5aul9/xH+6CGGl9DqCAcaNHFszrzSA/5768gnvxq+s0v8nsv8OauLoIq74v8txpqDORQQaiGGmq89qGCUA011HjtQwWhGmqo8dqHCkI11FDjtQ8VhGqoocZrHyoI1VBDjdc+VBCqoYYar32oIFRDDTVe+1BBqIYaarz2oYJQDTXUeO1DBaEaaqjx2ocKQjXUUOO1DxWEaqihxmsfKgjVUEON1z5UEKqhhhqvfaggVEMNNV77UEGohhpqvPahglANNdR4zQP4/wE8BP1QnybYKQAAAABJRU5ErkJggg==)
In the figure shown upper block is given a velocity of 6
and lower block 3
. When relative motion between them is stopped.
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)
physics-General
physics-
The bob of simple pendulum of length
is released from a point in the same horizontal line as the point of suspension (O) and at a distance
from it If the string of the pendulum is made of rubber, then how much will it be stretched on reaching the bob at the lowest point.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMsAAACcCAYAAADRcF98AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AACV8SURBVHhe7Z0HWFRX08ff780bY6KJXbCFRGMFLIgNsGBHsfeCBXuvsfdekSY2FHsJ9oY1CGIXGypSFAGV3hGk/r8zw2KMUbMYsrLs+T3PfYB79+zdvdz/PTPnzJn5DyQSiVJIsUgkSiLFIpEoiRSLRKIkUiwSiZJIsUgkSiLFIpEoiRSLRKIkUixvyRRbBjIyM/k3ieR9pFiyyYhHcnw4XkQkIjE5Q7FTIvkDKRbRmyAtAqH+nrj1uyvc3e7jSWgc4sQR2cNI3kWKJTUSCU9P4di+PbBdsQuntv8GV/8geNOhrFdIJIyGiyUJcc88cNF+Mey3OGPb8Vu4fuwkbj0LhL84KsUieRcNFoswsuLv4+EpG8wbsxQbnN1wO/gF7t/wwrNXUWyGSc9F8i6aK5bMFMTfdMLxlSMwbPERHHD1REjwQ3g+jkBIdJriRRLJH2ioWDKRmfoKD3Yvhc2oIZhz8DpO3PZHoLcPgqKT8Tpd8TJNg4bNM9KRkfYGyUnxiI+LQ1xiEpJS05GWIY5p+IiHhoolCelJN3DaZgFmWczA1t/v4npgJF68ikZSWrrmjYKlRCPS7zbuuB7HiT2b4Gi9DKuWLcaShQuwZNESrLDagM27D+OE6H3vPI1BrIY6cxoqlmikRR3FPuvlmDhqC85c90FISgpeCydFc4Qivml6AuJDvPHIdQ92LR2DcT1bo51JfTRpZATTVm3R3qwV2jdriCb1DWFs1AzteozChOV74ez2CH5hcUjQsB5YM8WSFoI3fk7YYW+NqSvc4BUYp3nOfHockgLO4rT1GIxpZ4BGer+gag1jtOg5BfM2H8VJD9HT3L2F266HcNhuKqb1MIapXkXo6deDcfvhmLjuGM76JyJWgwSjcWLJSE5EYtAN+LpZwc7eEUudfPEqjvoTstdTkJycAWGJ5XNSkBDkDlerwRjRWAe/FC2E0lo10NBiMZYdfQjv6LR3Hh5pSA3zwmOXtbAZ3RRNdIqiTLFyqGJkgUFLT+KCbwwSFa/M72iYWDKRlhCFmGfX4HVTmB6792PLjqvwevwUL18GIPjFS7yKSUVyvh4MEzJIfwa/Cyswp1VlGJQsiOLFf0IlwwGYtu8G7iVmfqCXFXtSn8P/3CrMa1MZhloFUax4JVRpNAxzne/AK0kzhtk1rmfJTE9DemoikhJfwvfWRZzdsw2HftsP50MuOOfhBf/YN0hWvDZfkim880hX3NoyCF31y6J84e9QQqc+anVfh53Xgj/ZSyT4nMHRSY3QscYPKFG4CMpXbIAuS1xwxF/0Pxrg7Gmog5/Fm9gQhPjcxWOve7j3wAd+z8MRk5KOfG2FZaYAL07hqnVXtK5WFtqFC6Fk5aaoO2Qnjt8NU7zowyQFeMB1XhP0rFMMpYTIKvykizazjmGPlxQLkl4n4cWLYDx/HoDXia8VeyVqT/xNeDoNQc+aZaFTWJhhPzVC7d4O2H/r1SdCfDIQ++QEDoyqj/bVvkfx74ujQuUm6Gt1AS4vyLPJ/3xQLOlpaYgID4f7pUtwsLPFmpUrcO7sGQQ8e8b701LTkJiYiFcvXwpb/wVevRI/X7xAaEgoUlLe4M2bZPF7CAuNtoiIcKSmpiIhIUG8/o8272+8Xxyn16WJzxAZHsHvS/v4uPg9NiaGj8XERPN7v3xJ20vxebLa0OfjNvSedC7xe1xsLH+nmOho/jv7eOLrxKw24vPRuUNCqE3W8bjYOD4WFRXFf7/gNq/wWrSh7xIRHsbn//N5FG0iI8Xf4pjic7+/0WvDQula0YBCEkLE+9I+2iJF2/T0dMTHxfNnou9Gbehc4WFZbZKSkt6+D210Pvp+8fFx3Obd6xUWFsafN+n1a7H/ldj/Cm+SfPD8sjWWdtBFA61vUbxEZVQ2HoeFh+/BW9igH/RZkv3w6NQSzGxeCXVKijalqkO3+WQsO/0IvkJhmjDk/kGx0AXfumUTBln0Q1PjhjCqZ4gO7dqgV7cuWDR/LovmwvlzGDJ4AAb274OhgwfCom9vTBw3Bg+9vHDv3l1MGDsa/Xv3Qt9ePXhyK/D5c5w5fRJDBlGbvhhqOZDbvbsNsuiLwQMt4HLqJP+jly1exO8xVLSxHNifz+G0dYu4qV/BcdNG9Ovdk/cNGThAvPdpvAgOFp9vHvr3EW3EZ7Mc0J9/37VjO988G9bb898WdFy853nxAAgKfI55s2eib+8e3GawaNNPnHPv7l18E9uss+LXU7thloPgevEinj17mtVGfDf63IMtss6zb89u0eYl1qxawe83RHyX978jnZc+97Qpk+Hz5Alu3byJkcOG8vew6NMbq1csF6IIw5FDBzGofz/+H1C7vqLNzGlT4evjg6tXrmDkUEs+J23r1q7mh8Qh59/4Gma3ofPMmTkDz54+xWW3S7AU5x48wALnL5xAasRt3N40DMNNfoROkaIop1MXpsNWY905fwQkClOUZvN5S0darA98XFbDapgJTH4uAe0ftFC5UX8MsnKF+/NEvFHcN/mdD4rlwYP74ua0QOWfKkCreBFolyiKYoW/xX/+8x80MKyLm9evw97WGgULfM37/ic2+lleuzTOuZzGieNHoVWqJO+jzahhA9y5c5tvhIJff/W2zfsb7f/6q/9yT/bQ6wEaGxvxvv8qjtFGN+yTx48wUNyg2fv+99//EzfoSnjdv4f6dWvzvq8Ux2gbO2okHj96iN49u7/dV+Cr/8Daag3u3vFEbb0ab9v8n+L4hHFj4S3O07G92ds2hQoWwAZ7e9y8cQM19XR5H33u7Db0sHji7Y1Wpk35b/rc73/H7M9VUedHuIme23n/fhQR9j/to61V82bw9/PF3Dmz374vtaOf1SpXFDe9G4u/cMGsa0+buVlbPPX3x2whjOxrld2mpm51XL92DTu3b0ORQt+i8LcFYWNjJ/7LKXgTeBEn143CqDb6aFCpNCpUqgfjrhMxy2Y79hw5gdOnjuHkb9uwbeV4TOxgAONKWvi5sgHqmQ3FhHVHcconETEaFEb3QbE8euiFUcOHoFqln6FdXDx1SpdABe1SqFCmND9NHz96hAP796GhoQHq6Ovyz1p61dG2ZXNcv3oVl93d0KpFM9SsUQ16Vauw8HyeeGPXdichtjow0NfjNu9vBrX0Ud+gNr+O/vn0dKwl3qNB3TowrFNLnKOG6KXm43nAM8yfOwf61auilrgZ6PjunTvETeaHAf368Hmz2tTk4yuXL+XecNb0X/nvmjWqo6E4Tj2Bj483+vbsAf1qVfmz1atdk9uT+J4HBGDyhHGKNtVg1KAeP70fPcwSnl61KuJzi/OINrV0q8Fq9SpuM3bkcD5W36DWX74jfS763J3M2+GOpyf30E2MGgrBVufzjB4xDMHBQdi4fj3qivetK64JtdMTbbp17oC7dz3FTXwSJg3rsxCozcSxY0RPHAwHe7usNmKjNvrVq6FPj278/ySB0YOvRJHCWG9vq/hPpyI5+AZuHViCJcPM0bmx+IwGhjBuZoZufQdj+FALDOnRGu2Mxf7aBjBq2hE9Ry3F2kO34fkqGUmaMF78Dh8US2hoCJwct/ATksTyoxAJmWPzZs/CtasebP+GChPl2hUPXPG4LPZdgcdld2FS3GCfIlr4BvS7hxANCcdL9FTk45B5d1W0uapo8/5G+696eLAJ9lqcw+vBA35fPibaeVx2Y0GQne/n68vvT8fpWJbfkogHoneh171t4+4uzBB/tvN9fJ7w6/k9hSlDZha1uX/3LjzEEzurzWVuHyBMLWrj7f1Y0SbrOF0b8qnuURvx3n98NncECBFTG3qY0Pe+Kq4VHX9/83C/JIRyG3Fxcexv3Lh29e056MZOTk5GYGCg4noorq94P+qd44RfQiYX9RbZ34XO94bbPMeVy1nXMLvNwwde/Hk3b9yAMiWLQatYEWGOUs+i8DIyk/AmOgjPH3nC0/00zhzagV1bNmCLMHO3bNoAx40O2LxpO3YddMFZd0/c8w7CyxjRK2W11ig+KJa0tFTuCaZNmYQ64mluamIknpor4StuULJjJepFRkYGHOzs+MH3F7G8T3oiEqJCESJ6t6DAIAS/CEVYZAIS5Uq4D4uFoBEtx80b0dGsjXAMLeB5+7biiETdoNE1MtGUEovko3xSLNscN6Nd6xbCpu+OG8Kpl6gnUiy5w0fFkpT0mnuWZiaN0LaFKS5dvKg4IlE3pFhyh0+IJYnnWozr1xWbIc64nFYckagb2WIpI8Xyj/ioWJKFWJy2OsJIiMWwlj6OHzuqOCJRN0gs9rY2KPlDYZQQ23o7G7FXiiWnfMJnecPzEM2bGKNuLT2eUZaoJyQWG6u1+OG7gvih8HewtbaSo5qfwUfFQjFIJ48fQyfztqhXpyYOOzsrjkjUDRo6pnmf2TOmY9aMaTw3I8k5HxULBd9dcnVF/9490cCgNg5JsagvohOJiYnBUz8/+Pv7ISY2RnFAkhM+KhaKnr154zqGWw7mEI2Dvx1QHJGoG9SzuJw+iUH9+mCg2FxOn1IckeSEj4olPSOdQ0cmjBmF+nVqcbQvhZlI1A/yWSgy+duv/4vvCnzN/ovGJwH7DD4qFnIAKRR97uwZMKytj2VLFiI4KFA6hmoIicV67RoU+uZrFCr4DWzXWUmxfAYfFQuREB8PB3tbjtAdPXwYh+aTeSZRL0gsmxzWQ6dcGeiUL4fNGxykWD6DT4olU9i6FJLe2rQpunY0x9Ejh3hIWaJeZGRk8rICCtPfKbbH4ndJzvmkWAhaYTeofx80a2zEs8AUOi9RP8JDQ3lZwB3PWwgLC1XsleSEvxULLWNdMHc2Dx/PmzWL17NL1AsaDduzayeMG9aHcaOGvGRaknP+ViyUzGGb4xYYNzBkv4VW8UnUi2wHn0bCCn1TADbr1oq90mfJKX8rFprJv3jhPFo3b4qe3TpLJ18NIbFkRx2XloGUn83fioWgVZM9unQSgmkG5wP7ERsnTTF14l2xyKjjz0cpsVAeqrEjR6B5YxPOvEK5tSTqgxRL7qCUWCIjIrFi2VK0bNYEY0eNYKdfoj78VSz2iiOSnKCUWGhyksL1O5i1Rmfzdrh965biiEQdyBBi2eBg/9ZnoUwvkpyjlFjIyaeURxSE16RRA5w6eYKHIyXqAYUobSSxlCCx/AA7G2uk5f8iNLmOUmKhix0SEsJrIerq62LdmtWcy1iS96GHGuVpXrRgHnTKlkaZkkXRrVMHnsmnWD+J8iglFoKeRFs3b4ZRvbqcr5h6Gtm75H1iY2Nx8Lf96Nm1Eyr9WA7ltUpysr0mRg1ED7MOd27f5rkzSkhOeRckH0dpsdDoye8XL3A60BZNTeC0bSsvEJPkbShrPkVgkEWgU1aL0/BSGtefymmjlWkTTBg3hnM+k0/q5uoKfx8frjZAwpHzaX8mB2IB5x9eunghLwabM2M6j5JJ8jaRERHYYG+HFk1MOA0v5a0uVfR7/FyuDFq3MM3KuC8shX69eqJnty4Y0LcPpk+dAsfNm4T14IHw8HDFO0lyJBbKwXvi2DGYNjbmxHvXhCkmo5DzNtT7UxmQSRPGobx2SXbyTRrUw8SxozmfMfUoGx3WY+6smSwaSljevk0r9O3VHZPGj+XQmHNnXDizv6YH0eZILAQlrqZ1+SQYSqlDTy5J3iY1LRX2NtZvE4MvXbiAk7RT8aP4+Hg2u0JDQxEkHP57d+8IH+c3rnND4U2UEN7crDVmz5jGy5HJv9FU0eRYLDSbT6ZY44b1MdxyECdAkORtaCBm0wYHxdBxEWz5m3kWGhR48sQbF8+fEyacrfg/D+Q1TZTKd8rECTh25DCPjmoaORZLYkICTp88ic7mZmgu7GDX3y9KRzCP8/4M/sYczOBT+UH3S65YumgB14dpZmKEHl06i78X4qwwz+jhqSlLzXMsFrowVDtkyoTxMKylx9W8Ap/L8fq8DInFznodihX+DkULF8J6YZLlZFkx+T1Uc+f6tStsVbRv3ZKLPtHq2fV2tlxHRxNMsxyLhUhNTcH2bY5ct6VzezO4iJ5Gknchsay3tYVWCeGzlCrJvczn9AYkGiqYRHU1V69cju5dOgqfphGGDLLA4UPOXJQ2P/NZYiHIEZw8fhyXcVs4fy7CQkOQoSHdsbpBwqDamSQSSkBC/7t/Cg0QUH6G0cOHCnPcCJ3at8XaVSu4Cll+5bPFQqXyDh90RuNGDWDetjU/WcifkeRNyGmncoFPxUa/5wbUYz186IXlSxZxzGC92vqYO2uG2PcwX/qxny0WgkZMRg4bwsVDKXSfipxK8h40GuZ84ADatmoBs9atcND5QK6tZqFhaSqpTosCu3Zsj3p19Lms+907d/JdhMc/Egs5dSeOHYWZ+CfQGv39e/fIhBZ5EOoBrK3WovA3BbJKe1vlfhb9+IR4nDh+DP169eAehqouU4Ha/NTD/COxEJGREVixbAlMhFgsB/TnNfqSvEXW0LFw8IsVQamiP3D4C8X65Ta0lIOKXvXr3ZNLjo8fPYrzZVNB3/zAPxYL/SNoMdgEcWGoJjwtWaXy3pK8Q5ZYVLOsmEKiaLSsf+9ePLw8ZeJ4+Pn55otFzP9YLATZplTsiIL1+vfugbMup3h4WZI3UKVYCDLPz7q4oEsH4cMIwSxbvChf+LO5IhaCwl6mT53MYTAzp03FyxcyqUVeIVssVFNSWwViIV6/TsRWx82ct6GpUUPOPUc1YtSZXBMLPU1cTp1EmxbNOGXS0cOHkSCHkvMEJBZbxQx+se8L8bLif1ssBI2SrVqxHAY1ddGre2ecPXNaraPUc00sBF2c8WNGomb1qhhmORgPHtxXHJF8SbLFUlwIpfgP38PeZp3Qimq8iOvXrsKiX28Y1NLD3NkzObpZXclVsVCxo0MHnTkLTG3d6uKpsgzBQTLd65cmMzMDN25cx8rlS3nkkkaoVEV8XBwO7NsHU+HPtm/bGmdOn+IJbXUkV8VCY/eUoZ2qTNXSrcbrvLcJu5XWTEi+JJmIiY6Cr88T+D55wkGRqiRYWBzTpkxCo3oGHCL1xPux4oh6katiyYaeXDSzr1e1Enp07cQh/ZR7TPJloBn8Y4cP8Qw7jVDRehRVhvElCz+FFo716Jq1mIxiylJT1G+09F8RCwnD5dQJmLVqjso/V8DQwQNx4/o1tp0lqoeuO6Wv+vbrr/Btga95Nl8VDv67REVFcaRyfYOamDpxPLzu38/1KIJ/m39FLERsdAzXLqQa+jUqV8K8ObPg4+2tOCpRJSQWKrr6fcFvULhgQeHsW4m9qr9RKXsMZQeiigybNzrwBKY68a+JhaDRMUokXke/hth0+YkWIbOFqBwSi+Omjahc8WdUqVQRjls2fwGpgJdx0CpNmosbNXwonj59qla9y78qFoKygtASVBodo2XITlsdESdLVqgUuiGfiRvz1InjvNHvXwL6HDeuXUW7Vi14xPTihQtqtcLyXxcLQVn3Z8+Yjro19fhCHTnkLKOTVQyNUl694sGZRGnh1pd6nlPYi+UAC07wR7P64Wq0ulIlYiEzwPvxY0ybMpHXvnTr2AEnjx+TOceUITMdaUkJSIyJQnRUNA/7RkfHIi4hGW/SP+R5ZIoneBpSXschPjqSoyho6H6L8BEoEriWvh52OG1VvFb1hLx6hfnCf23bsjmvsH0eoD4xYyoRC0GCoejkXydPgIHwYXp374ozLqekYD5JJtKTIxB86yhOblyO1YsWYPHC+ViydC3sdpyBq38MYv6iFhJXMPzdDuCg3VJYKSYiadi4UIH/oWjh73jgRShK8XrVQmKn5H4d2rXFMMtBXHJcXVCZWAhaCEThD1TIlUbJBvTrDXe3S1IwnyA9JRqhXhdwxnYKZvZohOZ1q0G3Rm0YteiDoYt2Yv/NYLz806BSumgTiiDPEzi4bCTGtTNAUwMDVKlcg9ey/FimlEoCKT8G9XLO+/ejixBvr26dcyUfgKpQqViIN8nJuCrsZkoValhLn0dFSEDpsl7IRxBmVXoq4u4ewolfjdBGtyRKlyyO8mXLQ6dKU5iPtYXj5SAEJ2bij5oG4veMZAS6bsT6XlVgVKkKSmtXR8miRfBT2dLY+AXFkhCfwLkbunU0R/dOHXDX01NxJO+jcrEQFBt04dxZnqyk3GOUU9fz9m2ZrO8TpPufw+WFzdGhlhZ0fqmCOvXqoHoFHVSuVB8tByzGapen8InN+JMEwm/uwDaLqjD5pTpKa+n9IRaHL1cm789iMZdiUYbExEQO6ae8ycb1DTFx3BjcunmDfRvJX0nxPQu3hS3QsVZZVG3aC32nrcCcIW3RSVcbFcoKs6z3PCw98gBeUdlyyUTIVSc4WlRH4yq60NLWfyuWrGXFX4Y/iaWz7FmUhuZbaFSsT8/uMKpfV/Qw4zg6Vt1mdlUBieXS/GYw19dGNfMZmHbAB57nt2Hf9NZoVVkLFUpXgWH3uVhw6BGexAnTTbQJv+6ErQP+EItW8WLQKVsKk8aNxfWrV/HiRTBHiqsSKZZ/QGxsDM6fOcNJxhsZGmD8mFHwED6NNMn+TLZY2utroarZNMw8GY3A6CjE3NmGnVOao3klLZTXroGG3Wdhyemn8BcaIDNs+8BsseiJ46WFg18SelV/Qaf2Zli5bAm8vB6otIKbFMs/hKpMubn+zvmTTRsbYcRQS1y8cF6WbXuHP8RSGlXbTMb0Y5EIoMuTHoqQ61vhNKkF2lQphXJl9GHUbzHWXPDDpTM7sX2QLkyr1RA+iy4qlNHmnoUqf1FBIyNh/u7cvl308HFZJ1EB2WKhoexuwme5I8WSc9JSU3kYcerkiWhp2gTDLAfi/Lkz7NtI3hNL28mYdiQCT7ODIJJfIfL6Bmwe3xymFUvix/J10GTYGsyYPxcLu1eDSTU9aGtni6U015X84dsCXDJvzaqVHBGsKkiYB/btQZcO7dC7exfxP7+rOJL3yTNiIUgwvr4+PInWpnkzDLboy2XEExLkWphPioVICcNLNztsGmkEk4plUeHnhjCs1xCtG1SEXuXaKF9WT5hgWtyzUCHWqhV10KJpY/y2fy9SVDjPRZOSFNTZkSYlBw+Uk5L/lKf+fnCws0UX83aw6N0Le3bt1PgKY384+B8RC5H4HAHn1sFmgAGMftJGmZKlUUmnAirqGECnvPBZRI9Ck5JUBm/V8qU8GkmR4aqM/KVYsNUrlonP0JKjOSinmLqQJ8VChIWFYfMGB65dSaNltjZWeHD/nsbO9mc8u4iri5ujU81sBz8WgR9KnhPvj2cnFmBR99qoV+57aJcqi/Ll6uKnCvpc+UtHiGX29GlfLDfCyxfBmDppAle8poTiQYHqU9snz4qFiI6OwvGjR7jufqtmjcWTaCJcL15AVCTZ2F9mBlr1ZCL9TTwib+zFkUn1YVpJ3PAmwzDSyRd3X6Yi4y+XIQNp0U9wz2kiZrb+GdWFj6JdSl+YYbooVawIdMqV5nCXL7WOhAJq+/TMKg+/02mbWlkMeVosBJWxoNByCiAk84FGUTZuWK9WT6R/QkZqAsLuncDxZQMwomkFVNUqDK1KDdDMcg2sT/vDP/rdMJdsUpEa4g5XW0tY1tNBZa0a0NISYqFJSSGWTRsdFK9TLRS5QYnkKXMpWQuet26pVab9PC8Wgp6CPk+8sW7NGnTr1IHrwVCY95XL7vl+eDkj9TWinlzC5X3W2LBiLhbNm435C5ZizYb9OHw9CAExQiwf7CSonQvO2c/C3Akz0cK0C/cs5Ld8qUBKGryh3GGU5WX2zOns7KsTaiEWggQTExWNo4cOCT+mB1/woZYD+UlFTmr+DZPJRGZaClLfJCFZPBjo4UBbcvIbvElNR/qn7vmMRKQnhiL4WSBmz5iHH74ryFkp7SjJnorFQv8/GtnsYNaG17Ls3rFd7Sae1UYs2dBipiseHpj+6xROq9PatAmWLVqAu563+Sb6UrZ4XoauiYOdHcpplRa+i7YikFJ114nOT6szFy2YC8Pa+sLBnwivBzK7i0qgJ9JDrwe8iKlX187sLA6y6MeJqClBuRTMX6HEdnt37+JheO/HVPdRddeIHmJUZcGsdXM0MKyNfXv3qKX5rJZiySYqKlJ07ccxZtRwrm1JCckXzpuDi+fPIzQkRIpGAV0HWoN/R/S+nrdv8bC8Kgl8/hyTxo3hpCUjhw/B40fqMxH5LmotFoLCYXx9feHkuIVzUjWsWwddO7THejsbzlMmTTOwP0e9SmOjhmJrxOUMVXVFKOHikYMHubpCx3ZteCJUXWvmq71YsomKjMTvFy8Iu3geO5FNxI0xbPAg7NuzG4GBgSp2Z/MWJBbrtWtQ6Jv/ia0AbFS4Bv/+vXsYNXQIi8Vq9SqEq3HeuHwjFoJCzWn+ZdeO7RjYrw8nc+vUrq0wzebyE+358wCNDP0nsWTXlCxNNSVVNHRMBa2srdZwvrjpUybjwf37aj1qma/Ekg2ZXhQaQ0+yjmZtOb8uBe5RgOaVy5cRERGulompP5cssaiuTB5B/uQmh/XobG7GD67fL1xQa6EQ+VIsRHYvc/7sGSGSxejRrTOXwOhs3g5LFs7HZbdLWYn+NMA+U7VYyNRy2rqFhUKlvk+LXl2Va2b+LfKtWN6FxviPHjnEtS67d+nIqUMpWQblXnZzcxU9Tf6OaFalWCKF77hr53YWCuWGo8GE/LLEQiPEQtCajYjwMLhd+h2L5s/jZbWthdM5cpgltm/byjVlAgICuEioKpfZqgISC81JFSn0LYrwDP6/U1OSgiJ3OG3jGjDm4oG0e+eOfJXXWmPEkg0laKBxf8r5u3njBowbNZJNs57dumDW9Ok4fPAg5+OlpQD5xULjnsXWBqVpObHoXaiXyW3ID3TcvAnt2rTkcJadO5wQruL5nH8bjRPLu1D5C3I86an766SJXK2Mkv5RsR2rNau4YhlFBKj7GhqaZ6Il2xvW27MJdu/e3Vx7EFAv/MTbG2tXr+RRL5oYtrO2RmiY+hZa/RgaLRa6YeipS6mXqDchv2bOzOnc05i1asF+zYqlS3Dk8CFeK06pg14nquOEWib7ZRSPRVturSGhuS13dzeOAG/e2BgtmzYWD551wkd8qXhF/kKjxfIuVNGXgjRpboBCQmiuZsLYUWjZrDGPovXt1Z2X4l44fw7BwUGcs5dEpg7zNhkZ6exoNzM2QlMTI+zft/ez5ySpJ6HoZ3q40DXqJZz4ZiaNMHbkCJw8cYxNr/xivr6PFMtHiAiP4OhmqrZMy2B7CZ+ma0dz4dt0xoghgxU9zkHOuxUbm7eHRan3pBn8wt8UQOFvC/IM/ueEAGWkZ3CtnZ3bt2H86FHo3rkjLAf251FFGiDJ75l4pFj+hgzR4/j5+cH5wAEsWbSQlzhTcrhB/fti5rRfeUHati1bcOzwYZ67oclQGkCg5IHUNi9AYrGxWpNVU1KIxXZdzgqw0nwURS3Td5w7awa6djJnM3Xi2DFc1z42JkbxyvyNFIsS0M1GZhdNttFEp9dDL5w7d4ZT+kyfMomzK7YybcpZ4SdPGId14ilOIem3b90UwglAaGgozz+QgMjUS0pO4uW0qgrwJNOJhsf1q1eDvm4NHt79FPR9aQkw5ROjnsT5wH5O3t6yqQmn2aW6Kr/t34eAgGdqGWr/uUixfCZkcpBw7t7xxFmX06J32czzN2OE7U4ZaTqYtYV5m9Y8gz114gSsXbWCb1LK7Uw5BXyf+CBa3IzkT6gCqrjl4e6Oy8IhDwkJUez9K+nCBwsKCsLFc+ewatkyXpVqKpx3CoSkOalNDva4cf26xvQm7yLFkkuQ00umCi1ztrexxsxfp/JQ9JiRw9h0oaFoyoVGVa9INPv27MFhZ2ccPXIYB387wPtonsJx80YOFaEJPXqiU3YbMnUootrjsrvwDW7wyBytCfHz9eGh7adP/fHs2VN2urM32ufv74un/v68kU9xQgiVNtffL/I8E5X9OCQ+A/kgjls2iZ9OOLBvH/bu2slVhRfOnYNxo0diwtjRbMZ5CKHFanAtUCmWXISHoYVo4uPiuNegeRzaKKgwNDSE0wB5XL7MAiCziOYmZk3/lZOidxGmXMtmTdDUuBHne6aJPcpkQ6NwQwZa8GgTDTTMmTmDfac1oqei2vY0R7RO/LRas5pTsa5esYJ/kkNva72O51YcxEaDEvrVq0C3SiV0MjdjEYwYYslOOo34NRPnpJn38WNGc1v6jI+EuRkeRiZkBH+nFA0KPv0QUiwqhPwUCiikVYvky1DGGpospMpnl1x/57LbB/buxfatjti0wYHDUkhQy5cuxsIFczFH9FAzpk7B5PHjMHbUSBbZgL69xQ3fiTM80hAu1boxNTFGt04dMWSQBUaPGMpbnx5dWYSNDOuwSUWpU2lVKYmMzkU+CK0wpWFz6rEoc6SsZPBnpFjyGGmpaby6kCYRKWuNv58f5xug4rVkOpE55nLqFJtvlGB7lzCdaKBhva0Q1qrlXEZirehZtmzcwKsjKZexsxDCkYPC5Dt8kP+mOZdTx4/jthDGM2GyUdJCKYy/R4olj0MjZtkbjWqlZ6SzuZe1pfFNThv1WqmpKW+37P3ksPMmXs/t37ZNV9loXH5BikUiURIpFolESaRYJBIlkWKRSJREikUiURIpFolESaRYJBIlkWKRSJREikUiURIpFolESaRYJBIlkWKRSJREikUiURIpFolESaRYJBIlkWKRSJREikUiURIpFolESaRYJBIlkWKRSJREikUiURIpFolESaRYJBIlkWKRSJREikUiURIpFolESaRYJBIlkWKRSJREikUiURIpFolESaRYJBIlkWKRSJREikUiURIpFolESaRYJBIlkWKRSJQC+H+VcUyK+xzc1AAAAABJRU5ErkJggg==)
The bob of simple pendulum of length
is released from a point in the same horizontal line as the point of suspension (O) and at a distance
from it If the string of the pendulum is made of rubber, then how much will it be stretched on reaching the bob at the lowest point.
![](data:image/png;base64,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)
physics-General
physics-
The bob of simple pendulum of length
is released from a point in the same horizontal line as the point of suspension (O) and at a distance
from it. If the string is catched by a nail located vertically below the point of suspension and the bob just swings around a complete circle around the nail, then the distance of the nail from point of suspension.
![](data:image/png;base64,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)
The bob of simple pendulum of length
is released from a point in the same horizontal line as the point of suspension (O) and at a distance
from it. If the string is catched by a nail located vertically below the point of suspension and the bob just swings around a complete circle around the nail, then the distance of the nail from point of suspension.
![](data:image/png;base64,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)
physics-General
physics-
The bob of simple pendulum of length
is released from a point in the same horizontal line as the point of suspension (O) and at a distance
from it. The velocity of the bob at the lowest point of the string will be
![](data:image/png;base64,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)
The bob of simple pendulum of length
is released from a point in the same horizontal line as the point of suspension (O) and at a distance
from it. The velocity of the bob at the lowest point of the string will be
![](data:image/png;base64,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)
physics-General
physics-
A block of mass m is kept in an elevator which starts moving downward with an acceleration
as shown in figure. The block is observed by two observers A and B for a time interval
.According to the observer A
![](data:image/png;base64,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)
A block of mass m is kept in an elevator which starts moving downward with an acceleration
as shown in figure. The block is observed by two observers A and B for a time interval
.According to the observer A
![](data:image/png;base64,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)
physics-General
physics-
A block of mass m is kept in an elevator which starts moving downward with an acceleration
as shown in figure. The block is observed by two observers A and B for a time interval
.According to observer B, the net work done on the block is
![](data:image/png;base64,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)
A block of mass m is kept in an elevator which starts moving downward with an acceleration
as shown in figure. The block is observed by two observers A and B for a time interval
.According to observer B, the net work done on the block is
![](data:image/png;base64,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)
physics-General
physics-
A block of mass m is kept in an elevator which starts moving downward with an acceleration
as shown in figure. The block is observed by two observers A and B for a time interval
.The observer B finds that work done by pseudo force is
![](data:image/png;base64,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)
A block of mass m is kept in an elevator which starts moving downward with an acceleration
as shown in figure. The block is observed by two observers A and B for a time interval
.The observer B finds that work done by pseudo force is
![](data:image/png;base64,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)
physics-General
physics-
A block of mass m is kept in an elevator which starts moving downward with an acceleration
as shown in figure. The block is observed by two observers A and B for a time interval
.The observer B finds that work done by normal reaction N is
![](data:image/png;base64,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)
A block of mass m is kept in an elevator which starts moving downward with an acceleration
as shown in figure. The block is observed by two observers A and B for a time interval
.The observer B finds that work done by normal reaction N is
![](data:image/png;base64,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)
physics-General
maths-
If
then x =
If
then x =
maths-General
physics-
Faraday is the unit of
Faraday is the unit of
physics-General
maths-
In triangle
, If
then the triangle is
In triangle
, If
then the triangle is
maths-General
chemistry-
The correct order of acid strength of the following compounds is
I. Phenol
II. p-cresol
III. m-nitrophenol
IV. p-nitrophenol
The correct order of acid strength of the following compounds is
I. Phenol
II. p-cresol
III. m-nitrophenol
IV. p-nitrophenol
chemistry-General
physics-
A block of mass m is kept in an elevator which starts moving downward with an acceleration
as shown in figure. The block is observed by two observers A and B for a time interval
.The observer B finds that the work done by gravity is
![](data:image/png;base64,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)
A block of mass m is kept in an elevator which starts moving downward with an acceleration
as shown in figure. The block is observed by two observers A and B for a time interval
.The observer B finds that the work done by gravity is
![](data:image/png;base64,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)
physics-General
physics-
Two identical beads are attached to free ends of two identical springs of spring constant
Initially both springs make an angle of
at the fixed point N. Normal length of each spring is 2R. Where R is the radius of smooth ring over which bead is sliding. Ring is placed on vertical plane and beads are at symmetry with respect to vertical line as diameter Choose the correct statement
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)
Two identical beads are attached to free ends of two identical springs of spring constant
Initially both springs make an angle of
at the fixed point N. Normal length of each spring is 2R. Where R is the radius of smooth ring over which bead is sliding. Ring is placed on vertical plane and beads are at symmetry with respect to vertical line as diameter Choose the correct statement
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)
physics-General