Physics-
General
Easy
Question
A positive point charge Q is brought near an isolated metal cube. Which of the following is correct?
- The cube becomes negatively charged
- The cube becomes positively charged
- The interior becomes positively charged and the surface becomes negatively charged
- The interior remains charge free and the surface gets non-uniform charge distribution.
The correct answer is: The interior remains charge free and the surface gets non-uniform charge distribution.
Related Questions to study
physics-
Three charges –q1 + q2 and –q3 are placed as shown in figure. The x-component of the force on –q1 is proportional to
![](data:image/png;base64,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)
Three charges –q1 + q2 and –q3 are placed as shown in figure. The x-component of the force on –q1 is proportional to
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARUAAADICAYAAADGOXWnAAAgAElEQVR4nO3dd3yV9d3/8dd1XWdk78FOAknYI4QZ9kgCIgooSxAQbb3tujvsr61tra1tvR211dpaByCKoqDsPcJeIkM2YUMSSMggyck6Oee6fn8kQQI5FOVA1uf5eEQknORcJ+ecd77z81UMwzAQQgg3UWv7AoQQDYuEihDCrSRUhBBuJaEihHArCRUhhFtJqAgh3EpCRQjhVhIqQgi3klARQriVhIoQwq0kVIQQbiWhIoRwKwkVIYRbSagIIdxKQkUI4VYSKkIIt5JQcaOysjKk5pVo7CRU3MTpdLJm9SqcTqcEi2jUJFTcwOl0cuTwId58/TVycrIlVESjJqHiBg6Hg3+9+SaZmVls3LAep9NZ25ckRK2RUHGDC+fPcfDAPsrsZSyYPx+bzSatFdFoSai4wRcLF3Lt2jUc5eWcP3eW/fu+qu1LEqLWSKjcBV3Xyb56le3btlJeXo5hGBQXl7BsyWJKS0tqbK0YejnZWZdJu3SRixcvYXc40XWdzPQ0LqVlkF9UXguPRAj3kVC5C06nk2VLl3D5csb1AHE4yjl29AinTp2qOVQMJznn9vD2P15hxddnKHfqGLqTjLSTfLQwhSK7434/DCHcSkLlLjidTnZs30ZJSQmqqqJpGpqmkZuTw4plS3E6bg0IRTHTrE037FfOs2nPJRTDAMOJpegMgbHtCfQ218IjEcJ9JFTuQmFhIYMGD+bJp75PZGQUZrOZiZMfY8q06cTGtsWp67d8jaJq+IZEMmNaMhmb5nGlsAR7mYNtKad5IKEjVrNWC49ECPcx1fYF1GcBAQGMGfsIpaWlHD50iKvZVxn76HiiIqMwWyxYLBaXX9smYSIdfOfz+md7eXGsFxnNh9PMz4KCch8fgRDuJ6FyF8xmM2Z/fyxWKxaLGZOm4efnR0BgAKp6+xaH2dOfX/8omcnPv8CytBaM+9G/MakqimSKqOek+1NLVNVEZPLPifAuYvbZ9sSG+UmgiAbhnrZUDMOo+NB1UJTKN42CoshvZEVVURUffv5oHMf6PIlFa+Q/ENFg3NNQKSspwlZYQF5uHk7FhEUtx+zfnGYh/mhaI24kGU6cuoHiLGH1QTM/eSocVWnEPw/RoNyTUDEMA0epjYM7NrD/VBYx7dtTcGY3nyxYxkM/+weTh3drvKFiGFw9d5zTV0vwKE7Fc8TTBHqZZIBWNBj3JlR0J2nH97J1XyqdBjzIoN5t0fo0ZePajRhOJ415W4xh6BzYsIZFOw9hDe/EH14Yj6pIpIiG4zuHSn5OJvm2khoDQjVpHDt1hmvFxQSFBKIpCqrZE9P11olRbbWp0qgGWBQGTZpB20Qb/mFN8LOaJFBEg/KdQ6XElk/21Xz0GlLF4ulJUUkZeXkFFBWXcEN8UBUoRdlpnEnPo0WbWIJ8rI0mWBRVxeIbTCvf4MpPNI7HLRqP7xwq4a1iCG9pUFNPRtedGNmn2bx5J1s2bCDEMhBKLnLNVowBGKXZnD57gVOnT3LgxBUmTUjEoxG9txpLgIrG6TuPliqKUjEtWsOHpmlEd4pnWEJXzuxZw5y58zl5KQuH0wAUUFQCmrWhU+dOnDx8FEdjHmQRooG5JwO1iqLgHdycoQ8/RtOYOIp0C7FtA9n8iQcKoFiDaB5qZ9tXx2nevgMWKlo88vtbiPrvHq1TUUDRCAxvSUJ4S0DHcGRcH6hVFAXDUQ6KzqWvt3Jl5EBaBnlKqgjRANyXxSKGAU5bHiV2J9eKKgZuVYsXHeL60yW0nLyCsvtxGUKI+8BtLZWaChJdH5DU7WTnm5n6w2cx+fpzLes8hQQR7O0PAbE0D/OWVooQDYRbQkXXdUpKSti5fRsffjCH6JhYJj02hdZt2mA2m1FUK6Etoglu1rqi1VKUwY7V62jWthOJj0wgyEvWagjRULglVOx2O18sXMBLf/4TZWVl7N61k/Pnz/GLX/6KTp07g6KgaSa0ymoAhjmCcZMjKv4iq0mFaFDcMqZSWlrKxx/NxW63YxgGTqeTPbt2sm3rZhw1llRUrv8pgSJEw/KdWypVZQ2qAsLp1L8pdVAZLLc7VEsWgAnRMH3rlophGJSVlXHm9CkyMjLQdR2LxUJS8gh8/fwqWh+KQstWrYiOjsFkkuJyQjQmd/yO13Udp9NJetoljhw5zMcffkh8z1789Oc/x2q1MnnqVMrLyzlz+hQ5OTkUFhaQk5NNWWkpFmvj2dsjRGN3x6Fy9WoWhw8dYtmSxezeuZOY2FhCQkIBBVVVad68Bb9+7rfohsGhgwd59eWX2JSykW5x3WnXvgOaJlXihWgMXIZK1dhIcXERJ44dZ8P6tWxYvw673U5Cv35MeXw6Xbp1Q9O0610eVBUNiG3XjsTkEXwy70O2bN5Es+YtCAwMvI8PSwhRW1yGiq7rpKelsXL5MlJSNpB68iSKohAaGkrT5s0JCg52OV7i7e3NoMFD+PrAftasWkXXbnH0TeiHqjbSam9CNCIu3+WKopCdfZX169aSl5vLI4+Op/+AgeTk5LDw00/526v/x9tv/ZOzZ85gt9sryh1UrqpVFIXIqCgGDRmKrbCQzSkpZGdfRa/hcC0hRMPisqWiKArNm7dg+hMz8fD0pFPnLiz+YiG7d+4gJyebNatWsX3rVnbt2kGHDp14eOxY2nfoeL07ZDKZ6NuvP1/u2c22LZvp3acP/QcOwsPD434+PiHEfXbbgdrgkBASk0dUBAVUdl+U6+MtNpuNvXv2cPb0GSKiIolt267agGxYWBgPPDiakydPsHDBZ7Rr34HmLVrITJAQDdhtuz8mkwkvLy+sViuKi/GQ6JgYXvzrSyQmJt8yxmIymejduw89e/Vm/76v+HLP7uurboUQDdO3HjlVVQVN07B6eODh4cHkKY/Tt19/QkJDaxyI9fD0ZPzESbRs2Yr3/vM2mZlXZGxFiAbsW4WKoiiomsYj4ycwZsw4NE1j9vvvojudt+3SREZGMTwpiWv511iy6AvKy8vv+sKFEHXTHYeKpml07NSZd2bN4fk/vshzv3+e1m2iuXL5MnNmvV+xz8dFt8ZkMjH9iSdp06YN77/zDmmXLqLrunSDhGiA7jhUVFVlwMBBdO3aDW9vb3x8fPjJT3+GyWRi7tw5nEpNrfG4jqqv9fLyYuJjU/H08uSNv79OWVmZhIoQDdC37v5U/alqGgMHDWZYYhKlxcX8599vUWSz3TYokpJH0DehP5tTUtiyaZOMrQjRAN3VER2aycTPn/1/BAUHs/fLPWzcuMFluQNFUTCbTTz9zA/w8/fjH397lby8XGmtCNHA3NW6eUVRaNa8OTOefIoim41PPvqQjIx0ly0QRVGJjY1l7COPkpGRzhcLF8gUsxANzF2HiqZpjB33KF26xXH+3FmWLV5MSXGxy0LYiqoyY+aTRERGsuDT+Zw8cQJDukFCNBh3vcNPURR8fHyYNuMJzGYLa9es5sCB/be9fWBgEN97+hlsNhvz532E7b+MxQgh6g+3bBs2mUzE9+jJqNEPcfHCBVavXEFOdrbL1oqqqgwdnkiPHj3ZsWMb27dvkylmIRoIt4SKqqoEBAQw6sHRtGjZkl07d7B1S81Fr6EiWDw8PHjs8WlomokVS5dw+fJld1yKEKKWua3AiaZpRLVpw/iJkygoKGDDunWcO3vGZetDVVU6de7CQw+P4eDBA6xcvhSHwyGtFSHqObdWTfLx8WHAwEH06ZvArp072LRxI2WlpTXfsari5+dHYnIyAQEBbN28mVOpqRIqQtRzbg0VRVFo0bIlySNG4u3tzcaN6zl06JDLtSuqqhIV1Zopj0/j9KlTrFi2lCKbzZ2XJIS4z9weKlarlT4J/Uge+QAnjh1nc8oGcnNyXH6Nh6cnPXr2onOXLmzbuoW9X+6R1ooQ9dg9KRobGBjI4KFDiY6J4fMFn3HwwL5q5SarXYCq0rp1G8Y9Op6srEw2b9pETna2LOEXop66J6FiMpno138ASSNGUlRUzNrVa8hIz3A5xWy2WOjSrRuDhw5j44Z1bNu6Bf02pxsKIeque1beXlVVBg8dSp+Evqxdu5qdO7ZTUlLi8vZNmzYjMTEJXz8/NqVs5Pz5c/fq0oQQ99A9PTOjTZtokpJHEhISwifzPuLihQsuuzWqqtInIYHExGRSNm5g29atlJaUyPiKEPXMPQ0VTdMYOWoUvfv05VTqSdasXkWRzVZjsCiKgre3D3379aNt23akbFxPaurJ2x7yLoSoe+5pqFSsRfFn5KgHiYiK4rP5H3PixPHblkeIj+/B8KRkzpw+w4Z168jPz7+XlyiEcLP7cmRg34R+JCWPwOFwMPv9dyksLHB5W7PFwrDhiXTq3Jnly5Zw8sRxl8v9hRB1z30JFZPJxJix44iNbcvmlBQ2p2zE6XQ9xRwTG0tiUjLl5eUs+nwh167lyRSzEPXEfQkVRVFoFRHJpMem4OPjy5xZ75OWdsllHRVFURg4aDDd43tULIjbs0cq8AtRT9y3UFEUhSFDh5HQvz/nzp7l/XffwXmbcgfBISFMnDSZgIAAZr//Hrm5OTITJEQ9cF9CBSpnd3x8eOaHPyYgMJDVK1ZwYP++60eo3kzTNHr26k3vPgmcOH6c5UuWSM0VIeqB+xYq8M14yZSp0ykqsvHvf75JQUG+y5W2FquV6U/MpEXLFnwy7yPOnTsrYytC1HH3NVSgIizGT5xIuw4dOXL4MEsWLbpt66NVRAQTJk4mNy+Xl//6F1m3IkQdVyuhEhAYyO9f+CMlpSUs/uJzLlw477IFomkaj06YQHRMDLt37WT/vq9czhwJIWpfrYSKyWSiXbv2JCWP4NzZM8x+993bTjF7+/jyq9/8jnK7nT89/3tZvi9EHXbfQ6WK1WrlZ7/4JQGBgezb9xW7d+5wGRSKohDXvTuDhw4jMyuTzxd+Jt0gIeqoWgsVVVUJDgnhyaee5ty5s3w49wOu5eW5Lo9gNvPSK6+hAHPnzObSxYvSWhGiDqq1UFEUBU9PTwYPHUrPXr05lXqSdWtXYy8rc3l7Hx8fJk2ZSkF+PvM+nEuJdIOEqHNqLVSgorXStFlTps14grKyMtauXs2pU6dcBoWmaUydNp2IyCh27dheUXpSppiFqFNqNVQAzCYznTp1JnnEAxw+9DXr166hqKjIZTcoICCQx2c8QXZONp/N/4Q8F10mIUTtqPVQUVSVps2aMWr0aJo0bcrWLZs5uH8/zhp2JlcdQta3bwJ9+yZw/OhRUjZukH1BQtQhtR4qVaJjYhn5wIOkpV1i9aqVXMm84vK2gUFBjBs/AYfTyaqVyzl75rS0VoSoI+pMqPj5+TE0MZEePXuxbetm9u3dS1lZWY1hYTKZaN+hIw8+9BAnT5xgU8pGiouLJViEqAPqTKioqkp0dAxDhw1Dd+qsX7eWyxnpLsdWQkNDGTY8keCQEDauX8ehrw/KoK0QdYCpti+gStValAGDBmMY4OvrS0BAoMvbKopCTGwsox4czdw5s9m6ZTPRMTGEhobd5ysXQtyozoRKlfDwJjz40MOYNA2zxYKiKC5v6+vrx+Chwzh44ABLFy2iY6fOPDDqQVS1zjTAhGh06ty7T1EUvLy8sFitKIpSWW9Fv153xbjptq1bt2bAgIE4HA62b91CRka6lEcQohbVuVC5maE7yTqfyq6du8kuqD4YqygKFouVxOQRDBoyhHVrVrN3zx7KXKzKFULce3U3VAwdHDm8+NOn2H3JTpd2wfxo3GDmbD6OrldvsQQFB9NvwABCQsP49JOPuXTxgswECVFL6nCoGDgu7Cc9WycwwBeHGkK7Jn58dTAd3TDghtAwmUw8PGYcAwcN4sD+fezetYvS0lIJFiFqQd0NFUVBixrMy2++QoSXjVkvPcfe83noes1nACmKwrDEZNq178B//v0WZ06fkvIIQtSCuhsqKJQUXOX91//CqoM5PPncy/SPCQGqNVKqie/Rg8FDh+J0Olm6ZBFFNtt9vF4hBNThUDEMndObP2fbWQdx7VpScu0K2fnFFBUWkJmZjbOmlbaaxoSJk4mJjeWjuXM5fOhrqcAvxH1Wh0PFwK9JK5opV0jZvJPUE19TbvKgIP0sJ0+nodeQE6qm0aJlS0Y+MApfH1/mzH6f/Pyaq/ULIe6NOhsqiqoS0XMkM558nEDNTnjHofzilz9j3JBO9OzdBbPqelHcw2PG0b1HD/bs3s3SxYvuamzFMHScDkdlDd3v/G2EaDTq3IraKoqigmalT+I4+iRWfrLlKGb0otoBZDWtuPXw9GTqtOkcPXKYWe++w5Chw2gVEXHb1bk3Mwyd8pIiju7dTr7qh1pejHdYNN06RKKqCnf+nYRoXOpsS8UVQ9fJvHKFZUsWuTyITNM0+ib0Iyl5BFlZmcx67x3sdvudd4MMA6e9lONbFrFm3yU0k4n8jHOkrF7FoXPZ0p0S4jbqXaiU2e2sWrmC2e+/x+ZNKTUuyVcUBU3TmPL4dJo1b8G6NWvY/9VXd7x838CgrLSABQs/p2n8QPr2jCehTzd8S1LZuX0HxXYdiRUhalbvQsVkMhHVujVZWVmsXrmCK5cvuyyPEBEZyU9+9nNstkLe+c+/XLZsbmYYUHxpB/tPZ9M5IgRVVQls0ZyQ5oGcu3CSy4Ulrue1hWjk6mWodOnSlaTkERzYt5+lixe57NpomkZiUjJt27XjyKFDrFq+4o5PN8w6tAtbmY6XpuJwlONQPMEjkMs5Ni7nltyLhyZEg1BnB2pvx8/fnwceHM2ePbvZsX0bfRISiOsef8vtqo4Bee73f+DJ6Y+zcsUyBgwaRIuWLf/roO3Vy5nk5eXwyvPP4mXVAJ3L6WnYArtRVFTzql4hRD1sqUBFC6RT585Mmz6Dw4cPsXrlCgoLC10emxodE0vSyAc4cfwYs2e9d0etFavViq9/IE///Dl++/wL/O73v+ahUQPx9dKwWOrlj02I+6JevjtUVcXb24ducd3p3LkLWzZvYtfO7S4Hbf38/HjmBz/CavXg4P59HD969L+OiUR26YTVpOLlF0iTJk1oEu6Ln7dO8zAvwkM87tVDE6Leq5ehAhVh0bZdeyY+NgWbzcamjRtJT0+DGuZlqmraznjySU6lpjJn9vsUFBbc5uxm8O40jhbBVlJzC9B1g9KsLGyXsmgV0pyW/t4VNxJC3KLehgpUdIN69urN8MQkVixfxuaUjdjtNZ8B5OnlxaDBQ2jfoSNHjxxhy6ZNLlfaKih4eQbxvbGD2bpiCxmZWXz99SmyjKb0SXoAX6smi9+EcKFehwpAeHg4g4YMpVWrVmzZvJlTqak4ajiITFVVIqOimD5zJlezMlm3dg0Z6S5KTyqgWT3pNeGnPBB5jTmz5rLvVDq9Rk2mb2zYt1qZK0RjUy9nf6pUVdXv0zeBpOSRfDzvQ1I2rKdps2YEBQXdclsPD086dOxE774J7PtqL5tSNjJh4iQ8vbxu/s4oqoanbxAjHv8pI+7fQxKi3qv3LRUAT09Phg4fTqfOXVi2dAknjh3D4XDUOGYSERHJI+Mn4Onpxcb16zh+/LgUyhbCjRpEqKiqSpeu3UhKHoHNVsjSJYvIzc11OcXcqVNnBg8Zwv79+9iUssHldLQQ4ttrEKFSZdCQIfTs1ZvNm1L4cvcu7Hb7LbdRFIXwJk0YlphEdHQMWzZt4sjhQzgccsi7EO7QoEIlLCyc8RMnERIcwtwPZnM1K+uWFoiiKBWtlc6dGThoMJczMli9cgVZmVl3fD83ll4QQlTXoEJF0zR69e5Dv4EDST1xksWLPnc5tuLr68eo0aPpFhfHhnVrOXToa8rLb18ewTCM6+UpJViEqFm9nv25maIoWK1WJk2ewpd79vDFwoUkJo8gNrYtmqZVu23V8v2E/v35+uBB5s/7iI6dOtGiRfV9QYahozt1ykpsXDp/ioP795N2OReTpy9t2nelW9cOBPh4YFDTsjshGp8G1VKp0ioighkzZ1JkK+TFPzzv8sRCTdMY+cCDxPfowZHDh66fF1TFMAzKSwr5KuULfvr9J3j2l8/x4WfLOJ2eg09gMJ6anf2bljB/xVaKy8olVYSggbVUqmiayvDEZJYuXsyeXTvZumULiUlJqKp6y8K1kNBQRo8Zw5nTp3nj9deI79GTqKgoMHRKbbmsmvMKc1YeILBFe6b/5FE6tm6Kt48Pvr6+mFWwl3akyG6wfdlHyDJbIRpoS0VRVLy8vPj9H/6I2WzhlZf+4nKKWdM0hicm0TUujtycHBZ9vgBHeTnlpcVsnv0nFuzJ5n/++Bb//PtfGZ3Yn7axMbRo1pQAP1+8fXwJDAknNDgAs8UsmSIEDTRUoGJ8pUXLlkyaMoXcnGxmvftOjSUPqg55/97Tz9CiRUs+mD2LM2dOk39pE4tSg/n3u28zolcsAf6+WM0mVFW93uKp+qjYLSSEgAYeKmazmV/+6jeEhYWzYvlSThw/5nLGJjIqigGDB2PSNJ7/7XPM/fdG/vTycwR5WzGbNNnvI8QdarChAt+sSXn2V7+mpLiYt954g4KCghqX5Wuaxs9/8Usio6L4+uABstr2J9SzQf94hLgnGvy7RlEUevfpS/8Bg0hNPUHKhvU1ljzQNA1vHx8mTHoMi9XKno//Rk52di1csRD1W4MPFQBvHx+e+eGPAFjw6XwuXrzoskrcoxMm0qdPX/Ly8pj/yTyX09FCiJo1+FBRFAWTyUSzFs15eOw40tPTWLViOcXFxTWOr5hMJn70vz/Fw2pl/rx5HDtyRHYxC/EtNPhQqeLj48voh8YQHRNLyob17Nu7t8awqNgX1IWxjzxKSUkx8z+ZR0F+vgSLEHeo0YSKoig0a96cMWPHcfVqFuvWriY3J6fGKWZNVZk6bQZNmzbjyz272bhh/bcLlZsaQA1ln5BB4zhDzdXzdeOer4bwfN4rjSpUPDw86NGzF4OHDGXvl1+yY/u2GssjoCg0adKEp57+Hwry81m+dInLkxCr2O32yjedUS1TdF0nO/sqV7OyXNbErQ8Mw0B36pQ77uwwtvrKMAyuXLlCTk5OtedL13UyMzNZ9MXn7Puq5lauqNBoQgUqgiUsPJzhiclYrVbWr13DubNna14QZ7UyZOgwusV15+iRIyxd4vokRIAyexkYFQfIQ8WL0263c+zYUd7+11vs2L6t3oaKoetcTTvHgnkf8cnKQ+gNOFQAzp45zez33+Xggf2UlZVdb5lkpKcx69132LZlq4TKbTSqUIGKgdi4+HiSR4zk4MED7Ny+zeWgrX+AP49NfRwU2LJ5M4cPH3IRKgaG/s3nDcOguKiI9WvX8sLvf8cXCxZw6dLF+vsbXlFwljvYuWQRuw+n4XTW08dxBwzDoMhmY/vWrbz4wvMsW7KYoqIidF3HbreTlZl5x2dyN1YNckPh7SiKgr+/P0OGDWffV3tZtnQxnbp0IT6+B5qp+o/DZDLTNS6Oh8eM5fOFC1izciVt27bFx8e3hhW2Boah43Q6uXz5Mp/M+5CVy5eTnnYJp9NJeXl5zV2tOqhqK8KN2xE8Pa0EmIq57HRW1pSp3J5Q+XOo+m2u6zq601lvN2wbhk55eTmlpSWcOX2GN17/Gwf27+cnP/0ZTqcT3dAlUP6LRhcqVdpERzNw8BDmzpnF9q1biGrdhtDQ0Gq3UVWVkJAQhiUmsWHdWrZt2UyPXr1ITEq+pT4LVPS7jx09wgezZ3Ph/HlsRbbr3aF5cz9gxbKl9WK5v9ls5qmnn2H0Qw/j4VFxGqOqgNVSMVBbbrfjdIDZ6oFZ01CUijfjvr1f8fJLfyEvNxejvsaKAUXFReTl5qLrTtIz0lmy6Au+PrifSY9NlW7PHWi0oWKxWHh4zFhST57g43kf0a17PAMHDUbTqu/z0TQTnbt0Zer0J3jj9dfYsW0r3brFEd6kyS0B4XQ6+eufX6SwoOCWinPXrl2joKCg8m91O1jMFrOLJr5BXvoJ3v3zMlbuOkOfkROYOWMKrcP9qDjWRCE9Pa2yjGdtXLk73DTDYxiUlBSTevIkr7/6stTMuQONNlRUVSUwKIiBg4ew98s9LP7iczp07EhYWPgtYeHp6Um3bnG0a9eeJYsXER0by5Sp0zDd1F1SVY3HpjzOgk/nk519FeD6G7NZ8+Y0a94cVa37w1gmk4km4U1uulYDoyyXci2LgTP/QHzvdbzy6pusDPNh5rQp+JhUQkJC6RbXndzcnFq79rtlGAZ5uXmkp6VRUlIMVHSZfX19eWjMWJYsXlTLV1j3NdpQgYoXy/Dhiezb+yVLFi9i144djBj5wC2Hi6mqSte4OMZPmsxfXvwjX+7eTb9+A2jdpk21N56qqYwcNYrxEyfxt1dfZvvWLRQWFuJwOBj3yHi+9/T/YLFa7/fD/NZUVb2lxQYKijWQ8Kh+dIlsihI5iQGHz7LpUAGDrpTTtYUHrSIiePNfb9fbWS6o6MKmbFjPm/94nXNnz+Ll5U3P3r3568uvkHryJMuWLK7tS6zzGnWoAGgmE5OnPM6xo0d54++v07lLF9pEx1R7Q1WVUYjrHk9Cv/5s2riB7vHxhDdpgq+v7/XbqZVbAlq0bMnLr73Oti2b+c+/3+LkyZNoJhMWqxVrPQgVwMXYjwqKBoqKihU/1YJmL8XpKEdRPK/vCr+5BVef6LqOyWzG09OTNtHRzJj5FA89PAaL1VoZtHW/pVnb6u+z7yaKohDVujXDEpN4599vsWL5Mp5+5odYrdZbuipRrVuTlDyC1JMnWb50KV26diO+R08wKro+3PBG9PDwYMiw4bRuE80XCxcQERFRw2//+saAytkPXS+jTNVo2zac8ODqLbv6/BhVVSUwIJChwxJJGjGSNtHRmM1mDMPA28ubiMhIQkPD6kU3trZIqFROmY6fOJHdu3by0Qdz6D9gIHHd42+5raZpDB4ylIMH9vPZ/E/YuH490TGxeHh44OlZMUuiqCoK37RuomNi+A4Q02wAAAvASURBVOWvf4NhGPX6haiaTAQEB1J+7QLnLlyEksso3r4MiWtLU+/6+7hupigKXePi6N6jB2azudq/RbZuze+ef4GgkOB6/Vzea/KTqeTt5c2Ux6fh5+/P22/9k4KCghpX2gYEBjJoyFBaR0ezbOliDh/6mnK7HU0zXQ+Tm9U8RlG/ePoFMWTiNOLbaJw+e47zafn0ShhCv77xqGr9fVw18fDwuCVQqgZr4+LjiYiIqNfP5b3W6FsqVTSTiUGDh5CYNIIPP5jNqhXLmfTYlFsq8CuKQp++CQwcNJjPF3zGws8+pWWrVtVnGhvg602zeNKx32g69qvtK6k937wOGuAT7EbSUrmBoig8NvVxolq34aO5c7hw/lyNi508rFZGP/QwsbFt2bBuLbt37sRRXi4rLUUtuGEl8w2nZ1b9f23QXnjhhRdq5Z7rKG8fHwIDg1i5Yhk2m41+/ftjMpmqt1ZUlbCwcGw2Gwf27+fsmdOUlZVx7do1JkyeTFBQkMwSiG/NMAzy8/MpKy2t1v26bVfLcHLxxFEOHz3GxfQMzF6BFGakciT1AobJgwBfL9dfe4/IK/8mmqYxPCmJ3r37kLJxA3t27662wtJZufcFICl5BB06duTM6dNcungBw5Al3A3R/fjtX3Uf+/Z+ye9+82vmfTiXC+fPYbeX3f5+FQUvP2+ObfyUt2fNp9hRTtal0+w9lo6Xh+WeXOt/Iy2VmyiKgqZptIqIZPWKFWRmZtI3oR9Wi4X8/Hz27K44GjU0LAxPTw+Cg0PZuXM7uTk5mMxmJkyaTEBAIHBrUR/5qH8fuq6Tk53Nl7t3cfrUKRxOJwEBAffsvvbs2sXsWe9x9OgR9u/bR+rJE3h6euLr61tt/c83rRcVDy8fAr1h5YKFXNOCKM3NISEpiZbhgbUyiC4DtTVQFIW27dox7YmZzJn1HvPmfkCPnr344vMFlJaWMmPmkxiGgaaZ6JOQQHx8T9auWYXudHL0yBGu5eXJ7EADYbMV8t5//kN6ehqGYRAYGETyyJHE9+jp9mll3TA4f/48TqeTzCtXuJqVxeFDh9iUspHWrdswPCmZAQMHEd4kvGK2sfI1pmomoroP54dPHeGvcz9m+rMv0a5VGFotzcophmHI6OJNDKOim3Pp4kV+/MzTXLp0ES8vbwoLC+ge34OfPftLusV1v/6kXrxwgR//8BlSTxwnMCgIs8ksoVLPGZX/LS8vJyszE4fDAVTsi/L19cPHx6fGnerf/f4qWitFNht5eXnXu9hV66g8PDwIDg6he3w8M7/3fbp07Va97ITu5PDaWfz2X4sIbzeE1/78LP5WTVoqdYnT6eT8+XPk5eVSUFBAQUEBJpMJLy8vPD09q922WfPm/PDHP2HFsqUU2YpkxrGBMAyD06dPVftcxfiGTuvoaLdvRzAMg4z0dPLy8oBvDsPz9vEhrns8EyZOJqF/f3x9q9fzMQyDwsuHWHoA/vGXX/On37/M7IU9+fHkQVjU+/8Wl1C5iaHrZOdk89rL/8eypUsov6GEpGEYeHl74+HpWe1zqqoybHgig4cMlXobDYrBsiVLePX/XuLatYrWg9XDg4T+A3jt7/+o2JrhznszDBZ+9il/ffGPGIZBUHAwQ4clMnXaNFq3icakaSiVxbNu/BpHcTZvvjabmX9+jRBKmDphCH//Yg5d49ozrFNTUO7vWd8SKjfRdZ1FCxdycP9+NFXDfkPvsKICmidWqwcOh4O8vDwsZjN+/n6oqiZLtxscg3GPjsfH15cPZr3PlSuXGTX6If73Z7/AYrG4tYtbNVjr6+tL9/h4Rox6kPETJmG1Wrixwl61+zQMDL2MLUs+pdTTnxOns0ho7YWtxEnH1mEc3ryKVn5jiWkVVG1f2r0mYyo30fWKkpClJSV88vE8Nqxby/nz58jPz8fQdR4ZP5HJU6Zw9swZPv5wLr369OHpH/wQf/+A2r50cQ9Uja85ysspKCioGDO7aQm/O++rtLQUTdNQFQXtpvVRNX+NjqEbOA0DBVBVpeLvul5ZElSrHJe5J5dcIwkVF6p+c+Tn57N65XJWrVjB8WNHr5dFOHH8GC1atGT0mDFMfmwq/gESKg1Z1dvk/gzAG9ztwJxhGLU2WSDdHxeqnhBvb28GDx2GpmnkF+Rz+NDXhIaGVfR1p8+gY6dOWCy1s8hI3D/39w169/dVm7OPEiq34XA4SD15glUrVrBm9UoyMzPp3LkLox56mJEPjCI0LEymjoW4iYTKbTidTk4cP8Zn8z8mIDCQR8dPYNToh+jStRtWq1UCpYEwDCc5GWkUFRQR0b5DbV9OvSehchtms5mu3bozecpU2kRH0zehf41V9DGMaqUPJGzqF8NwknEulSvnL9cYKjUNO8pz7JqEym2oqkpEZCRPPf0MXl5et+xWrhjMdZKTcYlzFy9RZngQ0SKYUnMYMU197+uIu/huDMOoPHn+m1WtVRRFwdB1yoqvcfb0abKvFRHUpCVWo5TI2PaY3biitiGRhRW3oSgKFouFgIAALBbLLetQdN3J4U2LWLX9CN4BwZiKLvD3V18l5ejVqtepqKsMg1LbNXJyssnJySG/oACbzXb973nXCikvd1Ccd4G5sz8mz+lBkL83Wz9/m1nzPqfcKYscXZGWyu0YRuVvr5r+UaEobS+zF+zk4ZnfIzqmLcWBXlx+5Q2ChpThjmlBce/oTgfn929g+8kcDN1J5oWzFOYVkKeZAAXvwEgG9+vMtk/eIydkCLExsfhbnFw64sXqFRfRpcyFSxIqrhg6pbmXOHzmMjW+fix+ZO1czQmbLz9qFobFpFHuHYSXSfmmSY1xX1cyijunaBrNO/YnMaIMQy8ndd9ustKyGJA0AgXQzB54Usi6r84x8vkf4OttwYSTkPBwdD0N/YZtGpXfUZ7qShIqLimoFg/8/QOuv4Cq/avJmxPZhRQVahVjKy6+i7zo6iZFUfEJCsc70EDX7eRfCkUvdtCyZUug4nkrysylsNSO3VFxhnRFw7PySTS4XgOlav+XVPurIKHiiqJg9gmlTXRIDaP/CihgaxeOx+qlpF7KolV4ALrTTpnjm2ZNie0auzbtwK76M+yB/lgkVeqUqrICClrF3i3tm816hqHj4eWLj1rGio/XMPJ3j6FZFEoKr11vhRZknWfdkk/ZfaaIEeMmMLBnZyyq/PKQULkNRVG53QB/5wenELd2Ny/85PtsSR6KUlJCoV2/Pgbj4eOLXfPiYkYOhoyx1F2KRouYDgQ1jfzmUyiY/ZrwvUf78v9e/yfT076iT2wwmdcqyhIYDjs5NmiR8BjT2uxk3d59BIRG0j3KF62Rp4qEyl3QPJvyp9ffYPmiFVy2+zBmzEhemPHI9exQUFHVimnoqmGWxv1yq5sURSUwrCmB4cqNnwQ0ejz6LG+EtmPjV2foNvQhvHPW8edZB1BMFqJaRxCpG+T4RNHKYcNkklYKSKjcFU3V8AhoxfiZz2DoBsW2QhTlhuCQF1j9UUMaKIqCZrLQdehYug6tqK62L6Vq3ERBUVR0vZTsTBttw/xo21LWJoGsU7k7VX1yRUVRVUpKbJTqBsUF+RSXVY7uVX2Ieqmq+pqqqOiOUmz5BWA4KSgqweEsJy8rg3xTKH5N22IxnLI4CWmpuJFB7tUMWnftSYB+lZzCEqwmC/bSIsrK7ZQ7dKyqKq2XesrAwF50DVuRia4dYkjLvIpSnMWXu/bhNAdgQsfXFEFISCCN/UmWeipu5HQ40A0dRdVQFRWHvZj9e/eTY4MBg/vg53lvivuI+6ByIaTu1HHqOorh4ELqYXbs2Ivq4Y3iEUxC395EtZKd6xIqQgi3kjEVIYRbSagIIdxKQkUI4VYSKkIIt5JQEUK4lYSKEMKtJFSEEG4loSKEcCsJFSGEW0moCCHcSkJFCOFWEipCCLeSUBFCuJWEihDCrSRUhBBuJaEihHArCRUhhFtJqAgh3EpCRQjhVhIqQgi3klARQriVhIoQwq0kVIQQbiWhIoRwKwkVIYRb/X+X5Fl+XAk/+gAAAABJRU5ErkJggg==)
physics-General
physics-
Three charges are placed at the vertices of an equilateral triangle of side 'a' as shown in fig. The force experienced by the charge placed at the vertex A in a direction normal to BC is :
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQUAAAEACAYAAAC6W2MiAAAgAElEQVR4nO3dd1xc553v8c+ZPkPvIDoIIVRAFQRCvXf3HieOkzjZOHGye3N3c/durnfT15ve7MRx77ZkyZat3kEIdUAIEB1E7zBMnzn3D9mOJUuWZAEHmOf9eukPS+OZH7zO+c5znirJsiwjCILwEZXSBQiCMLqIUBAE4TIiFARBuIwIBUEQLiNCQRCEy4hQEAThMiIUBEG4jAgFQRAuI0JBEITLiFAQBOEyIhQEQbiMCAVBEC4jQkEQhMuIUBAE4TIiFARBuIwIBQEAsa2G8DERCgIup4PC/Ufo7ulTuhRhFBCh4O1kF5bui/z3f/wHx0rqsbuVLkhQmggFLyc7+uiv2kZddwN7ztXTMihSwduJUPBync0tvPn7t5ho9HB863ucL61WuiRBYSIUvJlspaurlULdCr7xyDJ0A+c4ca4Ss0fpwgQliVDwYt0tzZQVlzLv3gfIvOMRpkSoKC/YS9GFZqVLExQkQsFbeWzUnjlEUZ2dO7InIPtPZ1HOTLqqTvPuh3lYRWvBa2mULkBQhrO/lhOldTS5IrlwIh8AY2gIwbp+ygr3UtpzG3NCdApXKShBtBS8VNmBPZj7bWxclIJOp0en0+Mbl03a5Cm0VVby0mvHlS5RUIhoKXglmeMlnRgTs1icm3PZN4Ohr5qyU3+mOn8bfCdXsQoF5YiWghdy91fRqwshJCENPx8ffD71JyVtEpNTw+lrr6JqwIND9C14HREKXsTjdjLY1cSJXW9R3evE6OeL2f7pNQ9u1P6BhEaG0ttRy7ObD1HT2IHV5lSsZmHkiVDwIh6nnbqC93jhzSN0NpRSfOoYTX2fmsEoO6gsLqG6C0ICfDn+2h/Y+sFRuiwO5YoWRpwkTp0WBOHTREtBEITLiFAQBOEyIhQEQbiMmKcgjBiXw4q5r4fWjl7UWg3IMm63B43OSFBoOEH+RlSSpHSZXk+EghdzuVw4HA7cbjcejwcJkFQqNBo1Wq0OjeYmLg9ZxmxxoNdr0GrUn/lnt9NOd3Mlu95+jZ1nu5g9bxYhJomm6jJqW23MXP0AD6zJxM/HgFolgkFJIhS8WEV5Ge9u2ULVhQoaGxvRajRETpjAtGnTWbFqFRkzZt7YG8kyHqeVH/zoNR55dC2ZUyZc+QKaig/w4t9eoMSZwlN/+B3hJjVqCdwOM0WHtvHUL39AVdN/8M9fWkxMqN+Q/6zCjROh4IU8bje7du7gmaf/TF1NLXa7DafTiSRJ1NfXUVx0lr17drF6zTruf/AhwsLDUak+v/tJlmUGLQ6c7s/u3OQabGDXe29zok3irh88SnSQCbUEEoBOw5TMRTx0ex4/e+O/mTMribXZUwkUa7EUI0LBC+3ft4+n//xHqquq8PPzZ/nKVWg0GiTp0s1dU11NeVkZL734PD093Xz9sW8RExt73fe91oSX5hM7OVR4Dm3MMhbOiEPz6acDSY1PQBjTc1Zhe/ow7+8sJCMphsDYgCH5WYWbJ0LBC2155y2qq6uJjYvjwYceZvmqVahUajo7OjAYDfT29PD6q6/y9puvs3XLZhYuXkJ0TAzSpzoBneZu+s0WLA7PpQ5DpxX7YDed7S00NlyKB5VaTWBkBCXHTtDR1k3CzFBiTJ9tcai0RvzDUjBIMuWFJ2m4YzFTRSgoRoSCF5FlGYfDwfnSUvz8/PjWt7/Dho2bQJKwWiy8t3ULCxctZtbsOQQHB7Pjg/cZMJspPnuWnJz5GE2mT97L0lTCrkOnae1zAjIet5PWi6Xs3z5I9YQgALR6PxY/8jD1Tf2YBz0YDCY+2wUJkqRCozPgL0F7x0XM/QMj8wsRrkqEghdxOp2cP1+K1WblnnvvY/mKlUgqFU6ng0MHD/DSC8+jVqtJmZSKv38Aq9auZecHH1BVVUlzSzPJyRM/eS9T9FQWr4651FJARnbYOFbqIXfFEmZOigRApdYQatRSqFYhSeDxXHunaEmS0EiXAkIlRh8UJULBi1gtFnZ9+AFWiwVfXz8MRiMAFouVP/7+d7S2tHD44EFyFywkITGJx771OPlHjlBRXsbFxsbLQkFjCiLCGIgsy8iyjMdhxWAKIiIqloSE6I9eJaFSq0mdGEKgv5rBwQGcwJV9iLIs43LY6fGAIXEqQcEhI/L7EK5OzGj0JpKE23NpgwSVSoUkSVitVs6fK6GhoR6Hw0FJSTF5hw+jUqkICQlBo9Z89L9e/u0tqdSo1Ro0Gi1ajfZSR6VKjVqjRqPRfvRHg0qSmLJoOVETomhpaOJsx2eXYXucFvo7K7BKahatzGJiTPDw/y6EaxKh4EV0Oh3z5mWj1+s/mbDU1dnJc8/+DZvNBkBXZycH9u/jYmMDhQVHsVotxMbFExoW9rnvLUlgMmjRqD/baxA4MZd1q+fj42xk5448HPKnRipkN72dLRzesYPIqYtZv3gGYYHGIf7JhZshHh+8iF6vJzNrHgajkcrKC1RVVlJdVcn+fXvxeDwkJiXR09NDbU01727ezOmTJ7BYLExMSWFC1JUTkj5FAkmlYX5WKmEBn72h1cZQclfeSXe3jUOHtnFsegjRQQHoVOC0mSk/eZDCKpkvP/G/SU+IwHi13khhxIj9FLzQvXfeRnFRMbNmzyEiMoJ3N7+DyWTiF0/9itdffYVjBUfR6/VYrVb0ej1P/eZ3bNi46TOPEDdHxtzdRsmxPTz/0machiC0Kgd9fTYmTMnhwYfvZ2ZSJGq1aLwqTbQUvNA99z1Aa2srhceOIqlU6PV6vvzIVwkLDyc0LAyPx4PVagUgd8FCpkyZeouBACDhExTO3BX3MC1nOVv/+P94YdsxevUpZN2dwwwRCKOG+sknn3xS6SKEkRUdE4PT4aCmppq+3l48Hg91tbXs37eXirJy7HY7ABqNhp/8/JdMSk1Fq9Xe8udKkoRKrUGnNxGfNotJcSH0tNZz/nwVpphUkqMCUV9nOrUw/ERLwQsFBAQQEBiEw+7A18+PhIREBs1mtDodkVFR2Kw2zhUX4fF4cLvd1133cLMkSU1geAxZK+9iQnI6FeXltJw/xiFnFwnxCUSEBuHnaxjSzxRunAgFL2SxDHL61El6e3tISEzk3/79/9LV2YVeryM6JobOjg6e+uXPOV9ayvb33iMhIfGG1j7cHAmTXwipGVkkTk6nr6ebrs5O+nv6CAoOHOLPEm6GCAUvdPb0acpKS9HpdMyeM5fcBQsv+/e+vj4e/NKX+fd/+99s3bKZJUuXEjVhAuqrDDfeMkmFzuBDWJQPYVFDHTzCFyEe4LyMLMv85c9/orqmmokpKdxx192feU1AQACZWfNQqVTYbFbOnDmNeUCsR/AWIhS8iMvloqmpiYb6OtwuFxkzZjFj5qyrvjYiMpJ/+cG/EhAQyPtbt5KflzfC1QpKEaHgRfr7+vj5T/6Ljo4OJk9OY9WaNRgMV+/QM5lM3H3vfQQGBdLW1kp+3pFPhimF8U2EgpdwuVxcvNjI/n17sVqtZM+fz+TJadd8vUajISw8nAULF+Hr58fJE8cpyBetBW8gQsFL9Pb0cPDAfqwWC6GhoSxeuuwG1jNI3HPf/cTExFBXW8P299/DfZXt1oTxRYSCF5BlmfLyMp796zMArN+4iYkTU25oluL06enMmj0Hj0fmfOk5Wlta8HjEUdTjmQgFL2C32ykpLvpkBGHDxk1EREbe0P8rqVSsWLmayWlpNDQ08JP/ehKb6FsY10QoeIHjhcfY9u67GAwGVqxcRVxc/E3NOZgxayaz58zBZrVyrrgYs9mMWEc3folQGOecTicF+fnUVFfj5+/Pd773ffz8/W/qPXx9/Vi1ei1JScl0dnby+muv0N3VNUwVC0oToTDOFRedpeBoHmqNmmnTpjN12nT0ev1NvYckSSQmJ7N0+Qrsdhuvv/IKzc3Nw1SxoDQRCuOY7PHw7pbNXKioICwsnA2bbvvCU5UjIiJYtnwFvr6+tLe3UXT2DIOD5iGuWBgNRCiMU7IsMzg4SElREVarlenp6azfuOkLv58kScQnJLBuw0Y0Gg2vvvwiZefPD2HFwmghQmGcstls/OJnP6G2toYJ0dEsWLjolhc0hYSG8uCXHsZgMFBTXU1xUdEQVSuMJiIUxiFZlrEMDpKfl8eg2Ux6egYLFy2+5d2TtFotcfEJzJozF41Wy97duyg6e2aIqhZGCxEK41BfXy/b33+P9rZWAgIDWbNuPZFRUUPy3kajka994zGCg0MoLyujsKBgSN5XGD1EKIxDLc3N/O2Zp7HZbMzLziFt6tQh2z1Jq9UyLzuH6enpWKwWDh06QEuLGIkYT0QojDN2u52y8+dpbrqISqVi0223k5SYNKSfodFoWLx4KeFh4VRVVrJ1y+YhfX9BWSIUxpnzped46YXnkVQqpk1PZ2LKJNSaod9ga+2GDcyeM4fOjg727t495O8vKEeEwjhzrqSEivIyDHo9j3/3e0RN+JxDXG6Bj4+JBYsWEx4RQX1dHdvf24bFMjgsnyWMLBEK40jpuXPs2b0Lt8dDTGws6TNmYDQOzxFskqRi9pw5zM3MYmCgn78+/WcGxBHy44IIhXHkaH4epSUlBAQEcP+DD+Hn5zcEh7hcW0xsLCtXrUav11NeVkbpuXNYLZZh+zxhZIhQGCc6Ozs5cuggfX29TJyYwr33P3jTaxxullqtYXJaGplZ83A6nWx9dzPt7e3D+pnC8BOhME688dorlJWdx8fHl4yZMzEajcPaSvhYQmISDz/yKAA7P/yA86XnxLLqMU6Ewjhx+NAhenp6mDFzJg9+6csj9rlqtZqExARSJqUCkHfksJi3MMaJUBjjBgcHeX/bVmqqqtDrdMzLziFqiGYv3ghJkggNDeMH//ZD/Pz9OXTwAKXnSkbs84WhJ0JhjBsY6OfZvz7DwEA/GTNnkT1/PpphmJfweYxGIznzc4mLi6ezo4MPt2+np6dnRGsQho4IhTHMarVyvrSU86WleDweVqxYSdqUqSNehyRJGI1GVqxchX9AAOdLz3HyxPERr0MYGiIUxrDWlhbefO1VXC4nMbFxzJg1e9hHHK5FpVLx8FceYXLaFGpra3l/21ZcLpcitQi3RoTCGFZeXsbBgweQZZnHv/sEqampitbj4+tLRsYMdFotFeVlXLhQIc6JGINEKIxR9XV17N29C5fTia+fH1OmTsMwTLMXb5QkSWy87XZmz5lL08WL/OWPf8DhsCtak3DzRCiMUeVl5yk4mo+Pry/f/Na3mRAdPWTLo29FfEICCxctxu12c+rkCTo6OsRjxBij/FUk3LSOjnbef28b7W1thIWGce/9D+Dr66t0WQDodDrmZmWRMWMGvT09vP3G6/T19SpdlnATRCiMQQVHj3K+tBSD0UjGzJkEh4Tc8v6LQyllUiobNt2Ow+Hgheefo6G+Xhw1N4aIUBhjPB4PO7a/T0N9HSkpk/jnH/zrqAoEAIPBQHpGBn7+/gyazZw/X4rNJo6aGytEKIwhLpeLo3l5lJeVIcsyqamTiYiIULqsz5AkiYSERH747/8XvV7P88/+Tez8PIaIUBhDHA4HL734PO3tbUydNp0Nt92GVqtVuqyrMvn4MDdzHiYfHy42NnLm9GkcDofSZQk3QITCGGG326mrreHM6VPYbDbmZmaRnjFD6bKuSa1WEx4RwZ133YPJZOLIoYOcLz2ndFnCDRChMEb09fXy2isvM9DfT2xcHIuXLBk1Iw7XYjQYePRrXydqQjTFRUUc2L9fdDiOASIUxgC3201NdTWb334Lu93OptvvYFp6+ojsl3ArVGo1YRERTE5Lw+12UVhwlC5xWvWoJ0JhDOjp6eFYQQE2mw2AuZlZBAQEKlzVjVGpVHztG48xddo0ysvKePaZp5UuSbgOEQpjwPnSc2x55y20Oh1ff+ybpKZOHhWzF29UYlIS06ZnMDho5tTJE2I9xCg3dq4sL9XX18fhQwdpbmpCp9Wydt0GAgLHRivhY3q9geUrVjJl6lRqa2t48/XXGDSLY+xHKxEKo1zpuRJOHj+OXq8nKzubxKQkdKN0GPJaJEli2vTpZM/PZaC/nxeff46+/j6lyxKuQYTCKOZwONi1YwfnS0sJD4/g8e9+D5OPD4zyDsar8Q8IIHfBQoKCgqitraGy4sInfSTC6CJCYRSrranh7JnTuFxO4uLjSU/PGLWTla5HpVKRNmUqDz78FZwOB3/50x9obGhQuizhKkQojGLP//1vVFdXkTxxIvc98OCoW+NwswICApiXnY0syxQXFVFTXaV0ScJViFAYhdxuNx0d7Zw5fRrL4CCpk9OYl50zJh8bPk2tVpOcPJH7H3wItVrFrh0fUltTo3RZwhVEKIxCg4ODvPDc32lrbSE6JoblK1eNuRGHq5EkCT8/Px56+Mv4+PpSUHBUTH0ehUQojDIej4f2tjbefP01BgYGmDM3k1mzZo+peQmfR6vTMTFlEtOmTcc8YGb3rp10dnYoXZbwKePjShtHBgcHKTp7hp7ubnR6PcuWryQ6JkbpsoaMJEnodDoe/uqjRERGUFxURN6RI0qXJXyKCIVRpvJCBb966pd4PB5WrV7D9PT0Md/BeCVJksjMzCJlUipNFxvZv3eP0iUJnyJCYRSx2+2cLy2lvb0dWZZZvWYt4aNwE5WhoNfrWb1mLbFx8ZQUFXH40EGxwesoIUJhFLlQUc6ODz9ArVYze84c0jNmYDAYlC5rWEiSRFZ2DmlTptDR2cHbb76By+lUuiwBEQqjhtvtJj/vCGdOncLHx4evPfYtAgIDR/3y6FsRFhbGmnXr8ff35+Tx4zQ0NIhzIkYBEQqjRGNjAwVH83G5nMTHx7Ng4SJMJpPSZQ0rtVrN1KnTmJedQ29vD6+/+jJ9ff1Kl+X1RCiMEu+89SanT54kJCSEDZtuw2QyjetWwsdiYmNZtXoNTqeTt958g4uNDciyrHRZXk2Ewihgs9k4feokFouF5IkpbLrtjnEzL+F61Go1k6dMYeny5TgdDgqO5tPd3a10WV7NO668UczhcPDCc89SeeECISEh5C5cSGBQkNJljRhJkggLDePue+5DrVazdctmqiovKF2WVxOhoCBZlrHb7ez4YDu9PT0kTZzI4iVLx928hOsxGo3MmDmL5IkTaW1pIe/IYQYGBpQuy2uJUFCQ1WLhROEx6uvq0BsMrFm7nuSJKUqXNeIklQo/f3+++rVvYDSZOHn8OFWVlUqX5bVEKCiotbWVn//0x5jNZqZNm86MmTPH7H4Jt0qv17Nm7ToSk5IoKS5iz66dYi9HhYhQUIgsyzQ3N1FbU4Pb7WbjbbeRmjpZ6bIUI0kSBqORhYsunWdx8kQhLc1NSpfllUQoKORCRQUvPf8csiwzaVIqM2bOQj9OZy/eKEmS2LjpNianTaGqspJXX35Z6ZK8kggFBciyTHnZeY4XHkOj1fLAlx5mwoRor5iXcD2RUVEsWLQYtUbD0fw8Bgb6xalSI0yEggIuNjZy8MABLBYLISEhLF66FP8Af6XLGhU0Gg1zP1pBebGxkXc3v4PVKo6xH0kiFBRwrOAoxwqOYjKZWLd+I6GhYahU3jUM+XlSJ09m7br12GxWnn3mGXq6u8UsxxEkQmGEuZxODh7YT3tbKzGxcXzne9/DaDQqXdaootfrmTFzJskTU2hubqKhvh6nOMZ+xIhQGGFbNm+m+OxZjEYT06an4+vr5zVTmm9GQmISDzz0JdxuN7/42U+orq5WuiSvIa7GEXZg/146OztImTSJ+x58UATCNZhMJmbNnsOE6Bhqqqupqrwg5i2MEHFFjhC73UZhwVGKzp4BIGteNmlpUxSuavRSqVREREbwla8+ikqtYu+e3dTX1SpdllcQoTBCzOZB/vbM0/T29JCQmEjWvHno9XqlyxrVfH392HTb7YSHh5Ofd4QTx4+LDscRIEJhBLhcLlqamyg8VoDdbmflqjVkZecoXdaop1arCQkNZW7mPFxOFwVH8+nvEwfTDjcRCiOgrbWVV15+icHBQQICAsjMmidGHG6QSqXiie//M0nJyRQWHOX997YpXdK4J0JhBNTV1bJ39y5kWebhR75KalqamL14gyRJIjQsjGnTp2OxWDh2NF88QgwzEQrDrLWlhYMH9tPb04PeYCB3wUICx8ERcCNJo9Gwdv0GEpOTKS4uYteOHWI7+GEkQmGYVVVWcujAAXQ6HRs2biI+IQGNRqN0WWNOesYMchcspLe3ly3vvCVCYRiJUBhGZrOZPbt3UVdbS1BQEN/89uMEedFWa0PJZDIxNzOL8PBwiouLaGxowCnOiRgWIhSG0ZlTJzl18jiy7GFCdAxxcXFoNN65icpQmDV7Drfdfge9PT389tf/Q1dnp9IljUsiFIbRnt27qK2pISk5mR/++3+IQLhFPj4+zMnMQqPVkp93hPb2NqVLGpdEKAwDt9tNcdFZjhcew263kzwxhclTpogRh1ukUqlInjiRLz/yVWxWKzs+/ICW5malyxp3RCgMA5fLxea336attZW4uHhWrlot5iUMkcDAIFatXoNGo2Xnhx9QJ6Y+DzkRCkPM5XLR1dXJ4YMHGBgYYG5mFgsXLRathCGi1WqJi08gJzeXnu4ejhw6SF9vr9JljSsiFIaY2Wzm/W3b6Ohox9fXl+z5873qcJeR4Ovryw/+9YcEhwRz9Gg+ZWXnlS5pXBGhMMRaW1r4+1+fwWq1sn7jJuZl54jl0UNMrVaTmJRIZFQUFyoq2L9vr9IljSviah1CAwP9nD17mu7uLjyyTE5uLsEhIUqXNe5IkoRareGRr36duLg4CvLzOX3qpNJljRsiFIZQXW0dW95+G4B169YzfXqG1x7uMtwkSWJuZiapqWk0N11k966dSpc0bohQGCJ2u50ThccoKS5Cq9Vyx933EBoWKjoYh5F/QAALFi3C19ePQwcO0NLcJKY/DwERCkOkqekiJ44X4na7SUpKZtq06RgMYhhyOKlUKuZl5zBz9hzaWlt45+23sNlsSpc15olQGAKyLLN/zx6OHD5MWFg4P/i3/0NgYKBoJYyAyKgolixbhtVq5c3XX6Ovt1csrb5FIhSGQF9fH3lHDmOxDBIRGcHsuXPRiL6EEaFWq8mYMYNVq9fS3tZGQX4eA/39Spc1polQGAJbt7xDRUU50dHRbLztDnx8fMQw5AiRJImwsHCWLFuGy+XixRee5+LFi0qXNaaJK/cWyLKM3W5n/969dHV2kjwxhRWrVolAGGFGo5FZs+cwc9Zs6uvrOHvmFINms9JljVni6r0FDoeDo/l5VFZewM/PnwWLFhEREal0WV5HpVIRFBzMw195BJVKxcH9+2lqEq2FL0qEwi3o7+vjD7/9Dd1dXaTPyGB+7kKxq5JCTCYTuQsXEhERwfHCQvIOH8Ythie/EBEKX5DH46G3t5fy8jKcTidLl60gMSlJ6bK8lkqlIjAwiDvvvgeD0UDhsQLa2sR+C1+ECIUv6GJjI7/79f9gt9nIXbCQzKwsdDqd0mV5NZVKxfoNm4iLi6Po7Fl279yhdEljkgiFL0CWZerqajman4/H42H5ylVERk0Q8xIUJkkSYeHhZOfkggQH9u+jV8xbuGkiFL6AtrZW8o4cZnDQTFJyMvNzc/H19VW6LIFL+y0sXb6C6OgYqqoq2bt7lziY9iaJUPgCSktK2LNrJ3q9gYce/jKhYeGo1WqlyxI+kjo5lWUrVmAeMPPWG69js1pFa+EmiFC4SZeGIfNpuniRoKAg1q7bIFoJo4zBYGT2nLkkJCZSVXmBmppqsR38TRChcJOO5uVxrOAo/gEBrF2/geCQENFKGIUmp6WxYtUqzGYzP/nPJ2kXIxE3TITCTZBlmSOHD9HYUE90TAx33XOvmJcwSvn6+jE/dwHRMbGUlZ2noaFetBZukAiFG+TxeCgtKSE/7zBarZasrGxi4+LEiMMopVariYmNY8Om27DbbLy/bavYDv4GiVC4QS6Xi63vbqatrY3omFiWLl8h5iWMckGBgaxesxY/Pz/2793DuXMleDwepcsa9UQo3AC3201/by8HD+zHZrWyeMlSMjIylC5LuA6NVktMbCy5CxdhsVg4deIE/X19Spc16olQuAED/f288/ZbtLa0kJiURFZ2NkaTSemyhBtgMpn4/r/8L8LCw9m9awfHjhUoXdKoJ0LhBnR2dvL2W29gs9lYtmIlk9OmKF2ScIPUajUToqNJmZRKf38/B/buxeFwKF3WqCZC4Tr6ens5dfI4TRcvMiE6mkWLlxIQEKB0WcINkiQJnU7PPffeR2RkFGdOnyLv8GGlyxrVRChcR0tLC1u3bMHtdrN23Xpi4+LEMOQYNDdrHjNmzqCjo4NdO3eIDsfPIULhc9jtdo4XHqP0XAm+fn6s27iJ4OBgpcsSvgB/Pz8yM+fh4+vDqRPHqamuFtvBX4MIhc/R0txM4bEC3G43OfNziY+PF4e7jFWSxKIlS5mfu4C2tlb+8qc/iC3brkGEwufIzztCYcFRwiMi+M73vo9JjDiMaYFBQSxZuhyA/Lw8zIODYqHUVYhQuIa21lb27dmNw+EgLW0qCQmJqNWiL2Es02g0pE2dwsrVa+ju6uTN116lo71d6bJGHREK13DowAEqKy8QERnF7XfehcFgEFOax4Hw8AiWr1wFwHtb36Wp6aJoLVxBhMIVZFnGarWy48Pt9Pb0MHvOHOZlZytdljBEDAYD06ZNZ+as2XR0dnDi+HH6+nqVLmtUEaFwBafTyZnTp6ioKMffP4C5WVn4+fsrXZYwRCRJIiQ0lG9885/Q6/Ts/HA7VRcuKF3WqCJC4QrmgQF+9+tf0dXVRe7CRSxevFTpkoQhZjAYmD13Ln7+/lRUVHDsWIGYt/ApIhQ+xel00traQnnZeXxMJpatWEFAYKDSZQlDTKVS4evry7e+/ThBQUHkHzlCcdFZpcsaNUQofEp7WxsvPPcsZrP50hqHyWli9uI4pQlUL3AAABluSURBVFarWbx0GbGxcVRXVXI0P090OH5EhMJH3G431dVV7N+3D51Ox+o1awmPiFC6LGGYSJJEaGgoOfNz0Wg07N65k8aGBmTxGCFC4WO9PT2cPF6IeWCAWXPmMjltCgaDQemyhGGk0WhYuXo1yRNTaGlu5oPt7+P2iO3gRSh85OzZM2zb+i4+vr48/t0nCAkNVbokYQQkJiaRMz8Xs9nMjg+3Y7PZvP4xQoQCl7ZtLzxWQGdHB2GhoUybNh29Xq90WcII0Op0zMuZT3pGBvV1dez44APMXr4mQoQCcPJ4IYUFBYSEhvKt7zyBycckZi96CUmSSExKYsGiRdisVl579WW6u7uULktRXh8KbrebQwcP0NhQT1JSMgsWLESlEuc4eBM/Pz8WLlpCckoKlRUVnCsuxjwwoHRZivHqUPB4PFRVVpKfdwSD0UhObi6BQUGileBl1Go1UVFRrF23HrvdztYtm736GHuvDgWXy8Xmt9+iubmZ9PQM1qxbj0rl1b8SrxUQGMjyFSvx8w/g5IkTnDl9ymsPj/HaO0CWZRx2O4cOHsBmtZE1L5uoqAlKlyUoRKPREB0Ty22334HH46HgaD5tra1Kl6UIrw2Fvr4+Xn3lJVqam8ien0P2/PniTEgvZzAYuOe++wkOCabgaD7HC48pXZIivDIUZFmmu6uLrVu24HS6WLpsBTGx4gg4b6fRaEhITGTW7Dk4HA727N5FuxduwuKVoTDQ30/R2TPU19UyPT2dzKwssdWagCRJGAwGbr/zLkJCQqgoL6Pw2FGlyxpxXhkKzc1NbH77LdxuN3fcdTcREZGig1H4RMaMmcyZm0l3Vxfbt23zulmOXncnuN0uis6epbi4iKCgILJz5uPr56d0WcIo4ufnx7yc+QQGBXHuXAklxUW4vGgkwutCoa62jsOHDqLX6/mn7zxBWFiYaCUInzEvO5vsnPl0d3Xzlz/+gUGLRemSRozX3Q0nT57g7JnThISGsmTZcvRiJaRwFUGBQSxbvoKg4CCKzp6hqekiDodd6bJGhFeFQktzM3t27USWZRYvXkpUVJRoJQhXpdFqSUlNJWd+Ln19fbzy0ot0dnYqXdaI8Ko7ovBYAdVVlUyYEM3td96JRqMRw5DCNUVERLJ2/Qb0BgP7du+mpqrKK46a84pQkGUZu93O9vffo6+vj7mZmSQkJildljDKGQwGJk9OY/bsOfT19XLyhHdsB+8VoeB0Ojl18gRlpedITEy61Jcg9ksQbkBwSAhf/+a3MJpMvLtlM0Vnx/8Gr14RClaLhReee5a+vj5yFywkdXKa0iUJY4ROp2P69HQmTJhAd1cXx47mYxnnIxHjPhTsdjsNDQ2cPnmK5IkpLFi0CF9fX6XLEsYIlUqFr58fj379MQICAjleWEjR2TNKlzWsxn0o9HR38+brr9LX18uChYuIi08QC5+Em6JWq1m0ZClJyck01Nexd/eucb2selyHgtvlorqqkj27dxEUHMyKVasICgpSuixhjJEkiZCQELKys9FotRwrOEpV5YVxux38uA6F/oF+Tp8+hXnAzO133kVsbBxarVbpsoQxSJIk1q3fyPT0DJqamnjz9ddwucfndvDjOhTOlZTw7ubNGIwGNt12h1jjINySCdHRzMvOxuV0knfkMINm87g8g3LchoLFYuFofh6WwUEWL1lKfEKCaCUIt0Sr1ZI1L5v0GTNoa2vj+eeeHZfzFsZtKJSVnuPk8UL8AwJ44KEvYTAYxOxF4ZZIkkRCYhLLlq/E5XTy4fb36ersHHethXEZCi6Xi31799DU1MS06dOZnDZFrHEQhoSvry858+eTPDGF+vp6Tp08yUB/v9JlDalxd6fIskxjYwP5eXn4+vqxctUafHx8RCtBGBIqlYrIqAncfuddyLLMG6+9Ql1d7bjahGXchYLb7ebN116jsaGeOXMzmZeTo3RJwjjj7+/PwsWL8TH5UFFezrmSEtzjaCRiXIWCx+PBYrFw5NAhgkNCyV24ED8x4iAMMZVKRWREJF959GsYjEb27t7FhYpypcsaMuMqFAYGBtj89ltcbGpk1uzZTJ+eLmYvCkNOkiQMRiNr160jKCiI0nMlFBYUjJsOx3ETCh9v2/7u5ncwmUysXbee8IgIpcsSxqlL28EnMTczC48ss3//Xurr6pQua0iMm1AYHBzk/PlSqiovMC87h+SJKWJ5tDBsJElCp9Nx9733ExkZRU1VNUcOHxoXHY7jJhQaGxp449VX8Mgyt995F2Hh4UqXJHiBtClTyJgxg97eHnZ++AE2m3XMB8O4CAWPx0NZWSkXKsqZOXMWU6ZOE60EYUQYjUaWLFtOXEIC1VVVvL91KzabTemybsm4CIXa2hoO7t+PVqvla994DF9fXzEvQRgRkiSRnpFBZmYW/QP9vLdNhILiZFnm7JkzlJ47R3xiErPnZqLT6ZQuS/AiQUHBLF66jMjIKEpKiik6cxqz2ax0WV/YmA+Fjo52du/cgezxsG79BgIDA8WUZmFEabVaJqakkJmVxaDZzMsvvkB3V5fSZX1hY/7uOVZQQE1VFZNSU1m+cqXS5QheKjw8gvUbNqE3GDh96iSVFypwOh1Kl/WFKBAK8pD1zsqyzI4PtmOxWJgzN5OwMDHiIChDr9eTkjqJJUuXYbVa2btnNy0tLYrVcyv3mGYI67gq2ePGbu6mqGA/h/JO0NDWg0tW4xcazZJ1d5A5PYlgfx9UN9AvaLNZGRgYYHBwEIfdQU11FcVnz5I2dSpLl68QnYuCogICArn7nvs4cvgQhw4eIGPGTMgFp8OBn78//v4B6HS6YXm8lV12OlrqOH1kLwePl9I3aAOVjvgpmSxZvoTpkxIwaW/s/pDkYRxUdTss9LZc4IVnnqPfdyKZmTOICvZF8jjo72xk9/Zd+E5Zzoa1S5kSH37VYJBlGYfDQd7hQ+zbt5eWpiYGBvo/WedQX1fHE9//F+65/wGCg4OH60cRhOtyu9309HTz8IP3U19bS2RUFCEhoThdTgL8AwgJDWX12nXMzcwiMDDwht/XYR2grjgfa+ISJgXrMV7xVe5xDlJ8ZAe7DhzHHZnO4tmTMOo1eBwWaksKOXG+hdg5q3j4zqX46tTX/QIevpaC7Ka38yJb//4ndpe6+f6P1pA9JYEAoxZkDx7XNOi+wF/eeQOnpCH4/nVMCDRe/sN6PPT29LB7105eeflF6mtrATAYjdjt9k/Wse/ZvZOExCTmL8jFz89/2H4kQbgWWZaxWAY5e/o0lsFB7A4HNdXVtLW1ERISQnVlJXa7nYrycu594AGWLltOdHTMDb23y2GlueosfcG5JATqufwukWmpOM4br71NX8A0Hlu9nBnJkR/9m4eE6GCc3c/w0gt/wj88ittzUvAzff4cnmHrU3DbB6gvOcSbO46SvGAD6QlRlwIBQFKh0vowf/VGEnRmju3YxqHzrVzZZOnv7+fggf388mc/oba6mtCwMNZv3MRXv/Z14uPj0ev1hIWFU15Wxm9//T8cLyzE5XKN+RllwthjtVopLTnHf//8Z7S1tqHVaNDpdMTFxfGtb3+H2++6m5jYWGprqnnmz3/i/W3bsAwO3ti1Kn/UR3DlS2UPssvMvlf+xJkGC5PmLmbaJ4EAoCJkQjIzF60k1FXPC8+9Rmf/IO7rfOSwhYK16yLlR/bQYpaZnZGGj/HKdJLQBE9h+pRY+tvrOLC3EOeninW73Zw5fYrf/+bXDAyYmTY9nR//7Bf86D9/zOw5c+np6SExMYnHn/gek6dMoa62hl8/9d+0tbWOm9VqwtggyzKNDfU89/e/UV1dRUREBIsWLyEwKAi73U5cfDz/7z9/zI9/9guysnPo7uri1Zdf5PjxwmucHyHjcbtxu1y4XS5cbjcejwe32/XJ37ndbtwuB67uC7x3pAanPobkpOjPNv1VeoLDJpCWGErd8X2cbR/Eep2tH4bt8aG/t5PKqhaQ1IQGh1xjCbOayMhw9M5iemov0O+GEA1IQFtrK3t376Kjo53p6en89Jf/TVxcPP39fRwvPIZ5YIAnvv8vLFu+gokpKfzmV09RWXGBl154gce/+4TYR0EYMVarlUMHD5J3+BARkZH87k9/xsfHl1/+/CccO3qULe+8TWbWPOZmZhEZGcXvf/srdu7YwdN//iMzZ866YrKdDG47dZU1mG12PIDd3EP9xXbMgaWUmY34aCVUai0Gow+B/Y10OJwYgkIJ9jNdtT6d0URURAiyvYLyKjM5iW58/a69pcDwPT64ndjsbpCkzz3yXWMwoEHG7bDi9vyjqdDe3k5l5QU0Gi3zFywgPCwcnU5H1YUL7N65k8DAIHJycwkIDGB6egaLFi3B4bCTf+QQDrt9uH4sQfgMi8VCXW0NkiQxZ24mcfHxxMTGMj93IXqDgcJjBVRVViLLMjGxsSxdvhKT0UhtdQ1Op/OzjxAeBy0NddTW1Fz6U1tLe08/XU211NX+4+9ausw4nQ48soxKo0V9jVENlUqNwagH2Y3VasdznUeWm24pWAZ6qSorYcDu4VrvLen9MdjtBAQYQO7HYrXg8fgDn00nl92BW6ND7x+MXv2P4Ojs7KC9rQ21WoWfnx8qtRrzwAB5eUdoaWlmfu4CWlta6OrsutS0kCRkoLamhjNnThMeHi6GKIUR0dbaSnlZGSq1mpCQEKoqK9HrDRiNRvx8/Whvb+P1V1/hu9/7PiGhoURGRhIRGUlDfT0trS0EBAZefvyAxsTUOVk4XS5kGawDXRj6a+mfmcO8GB/8tCCp1KhVoGq9iFalwmUdxOq4+mQpj8eDw+4ElYmQEB+0ms9vC9x0KLhddpob6uiyuPFcIxRUxkBS4kJJmZyA9kQLjc0tOKaGguGKUPDY6GhrRzL5EzdtOj7qS/c3gMftRvbIyPxjIkZtbS2nT57EMjjIueJifvHTnyB9lI7dXZ243W7sTie//dVTGI2mT/5NEIbTQH8/7W1tOB1Ojhw+TElxMSq1GqvFgs1mw263c3D/Pu665x78/PwuXdcfdR5+tmNcAklDYHDIJ39j0UsEBPggBYcTGu5LwEdPG7LHiZs4EgKM1Pa20t7bj8w/7qGPXoXdOkhrey/G0IlMS/bFpB/iUPALimD1XV+67utkZz8+zhXEvH+GUydPcXt2MoG+OtSffHvLWHtqKbnQTlD8NFYszuDTR7WEhoURGhZGT28PvT29WC0WPtz+PvX1dbjcbhobG2hsbAAuben+ceeiWq3mQkWFaCUII0bm0peYy+WiqvICarUatVr9yTWo0Wiw2Wzs37uXwMAgqquraKivw+TjQ0x0zPUPKZIurca88pKWVBo0wclsWjaVZ/ZcpKK0isGsSfjq/nFbe1x2ejqaqWzqYdqi+5kSbMJ4nR0Kh62jUdL6Ezc5h0fvyOW/Xn2LguVZBAf5EWC49JGyx0nh1lcoH/Bn2f0bmZ8aedn/HxERwcSUFM6cPsXbb77BpNRULjY2MGFCNBMmRF/22qami7S1tqJSqYiaEE1oaKjYm1EYMR6Ph87ODurr6pAkifCICCIiItBqL1+te66kGD9/fw7s24vL7SY2NhatVnvdLzBJUqEzmNCrpStaARJIBpZ95XucrP4vSo/uoXDhPJZN+cd0/8H2ak4e3E2DNIknv/cIQQE+XO/rclhnNHpcTsy9HRzZ9gJb86pIy1nBvIyJ6DwWSo58SEGljdUPPcrCjIkE+5sum2nldDo5sH8fP37yRzQ3N5M1bx7f+OY/kZCQiNH4j+kbp0+f4re/eorqqmqSJ07kV7/9HSEhoWKlpDBiZKC+tpY//uF35B0+RFBwMP/545+SMWMmer3+0iOwx0PlhQqe//uznDheSEBAID/8jx+xYuWq624I5HG7cNoteHS+6NQq1Ffc1R6Xjbb6Uj58+03yq2wsXLuBjMRQrF315B88SLMzlLsffphZqTHo1arPtDiuNKyhAODxuBnsaaOhvp6io3s5fOwsFzsH8Emaz2NfvpMZaUkE+pmuOvWyq6uLD7e/z29+9RRul4v4hESyc3JIz5iBTq+nvOw8eUcOc6G8gvDwcL793SdYs2795452CMJwMJvNFB4r4Kf/9SStLS2kTZlKTm4ukyenYTAaOXXyBIUFBVRVVWIymbj7nvt49BuPXepEH4IvMLfDQndnO9UVZRQd28+BY+foHXSTteZebt+wkpSECfjobqz1POwLolQqNX4hE5gaEkloaBBalYd3dx6hsaqMTosbmSubRP8QFBTEmnXrGRgY4P1t737yLLZ75060Oh2dnR143G5SJqVy7/0PsGjJUnGIrKAIX19f5sydy3ee+D5vvv4aFyoqqKutwT8gEJ1OR0tzMy6Xi7j4eFavXcttt99BQEDAkH2+WmcibEICgcGhxEX6YenvY09hBY31jZjtbjQ3suLw4/d68sknnxyyyj6XhG9AKAkpU5g2KYaBhhIqGnoJjY3H36hBJUmoNerLAkKSJEwmEzNnzSYsLAyrxYLb4740m8vjJigomDlzM/mnx79L7sKF+Pr6jsyPIghXYTAYmJSayqTUVBwOBxaLBafThdPpJCgoiLS0NB79+jdYt34DUVf0iw0VtUaHb2gMGTNnEBuio6GygqqmAZKS49GpJFTqS/fa5zWkh/3x4epkZLedsuOHOFfbic4/nImTJjM5JRbN5xQryzI93d20tDQjezwkJk/EaDSK/oMhJHs8eGQZSZLE7/UWDQwM0NLcxMDAAIlJSQQEBI5wB7jMQGcjZcVFlDf0EBmfTGr6bKKDDHzeVAWFQgFAxuV04vbISJLqo2Gc61+EHo8HWb60Ucunh32EIeBx0N3ZSU/fIBqDLzExUZ/p1BJunCzLn1yvapVKkXkz8ictaxmVSo1ao0Z1vdEO5UJBGDVkD7Kji9f+8jR1g0YmJQZSU3KKCkcaP/0/XyYqZOiefYXRb1S3Dz9O2iv/iBwbWrLHyWDpVt7fW05o6iyycxcxM2MSRz54kcaOXsbPecrK+cwlO4qv4WEfffjCPE4Ge7toam7hYlMLHo0P/v4+GPVakGXcbjd63xCioyPxNepR30TvqnAFGUBH6uxMJsVFoddq0fiE4BpsY9BxaaWemAp2c1z2QXq6u+jq7sXplkFSodXqMPn4IiEjoyEuNvL6b6SAURwKLiwD3Vwozuepnz6FOWw299+5mrhQHyw9LZwvOku7K4g19z3C8qw0QvyN152pJVydpNHhM+N+Ho/tprmyhB3bq2hpaQTAxUdfauKXe4NkXLZBGitOsWfXPqq7nERGxxASYMJlszBgsWG3OTFETee7X1mndLFXNXpDQWMkPD6NObKahMinaUnMZPX625iWEAa4Gehu5GePPcTvf9GF5kc/ZOPC6ejEhfvFyB7cvVX89ae/h/hs7r7/fuTWszz9t5eUrmzM8bjdtBR/wH/+7EWCZ23k8f/9MInBH8/AlWku2c/LL79DtSpB0To/z6juUwAJSZIurROXJKSP/luS1BgMQaxfkoGq5zwlZfUM2sRuS1+UwzrIlh//KyctCcxbspyEUBP/WLb22V3AhKuT3Q6snRf4+ZO/ozdgDms3rSUm0PDRNSshSSoiUrNYf8cm0kJUo/b3OnpbCp+42te/hEeGfrMVl1tCUqnE0OStkN1Y+rrpbTxLRcVsIqQACvYfBFmmoryECB8dKUkJmMSv+HM5bWaqT+zgdOMASzbNISUuHN0Vw+wavS/xqTPBNHpPkBoDoQAg47L00dXZRoveictppaOhnJ0n6olMzWReRiLGG9zTXvgstdbIvNvvpvCNo5w9sB1X1zQio5LJSE2iqbqRwTm5o71JOSo4rIOUHz+MRdYyKTGcYH/DVV4l4RMYSpp/0KjtphkjoQCW9ip279hB9QR/BjqbqCg9y+kWNQ98524mxUWiFVftF6bW6Zm87ps8Eb+QXouL0MgJTAgLJCU2FkPMFKIjgjCM1it4FHE6bDTV1OFR6Qk26j6zp9DHVCoNqEbvrTd6K7uCISiGeTk5TIz0Y6C7lSCTipqqbRzcvpW46EgiQ/wx3eAqMOFKEqgMTE6fddnfzsxdrFA9Y9GlWbbuj3cS/7gzZgyG6RgJBQmdfxhxicmkxIeCPJmpGbNID3Pzv36zjRdfCiUs+jvMTwq5/lsJwrCQ0OkNxCXFozp7kRazjUE3BI6RO+zTxk6jW1KhVqnRaDRotDpMvr5MXpRNmEFNb1sDF9usSlcoeDmdyZ8puavRq+ycOFFFS1v/VV/ntFsx93WP2pmiYyAUZOSrDN543G466y/Sb3fjHxhGRMjVOnUEYeRo9SYSZq1gY1YiTSd2sC//NO19lsteYzf30FxXwYnzzWJI8qbJLuxWCz1dbQwMOrD1tXGxoQ4fzMhuB32dLRx8ex+qkAQWrVnJlChx+IugLEmtwxSSxMPf/jbWv77GqV1vYZQspCdF4WM0oFaBra+N+lYbqTNmj9qbb/SuknTbaLxwmv179/DOlp3YTVFMSk4gLMgX2Wmlr6cTs8efRRvvZcm86UwI8RuLfTrCeCS7aa4sIv/Abg4WljAoGwgJCSE4JIzUjCxmZUwjKXr0npA+ekPhUz4u8coJSrLMdTehFARFjcGLdEyEgiAII2cMdDQKgjCSRCgIgnAZEQqCIFxGhIIgCJcRoSAIwmVEKAiCcBkRCoIgXEaEgiAIlxGhIAjCZf4/C7C0VudLf1YAAAAASUVORK5CYII=)
Three charges are placed at the vertices of an equilateral triangle of side 'a' as shown in fig. The force experienced by the charge placed at the vertex A in a direction normal to BC is :
![](data:image/png;base64,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)
physics-General
physics-
In the basic CsCl crystal structure,
and
ions are arranged in a bcc configuration as shown in fig. The net electrostatic force exerted by the eight
ions on the
ion is :
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Zeg9sdWdfNqxNndQA0ms00btkWS3wAVdPJcFjYUVpEpy5dkACD1UVC9PHOLzg9uq6TnZXFnFlvs+Kj5ZSWluB0OrnhplsYM248sXFxYk2fcBpUCnJKCPoVGjdPqPF30zSNiooK3n7rDZa9+y6FhYW43W7GjBvP+IlXExcf32C3Z57V37XJbCW5bReSD//ZZTGwJi+bnr37IFN5fF9V5y5CoRBFhYUsmD+PD5e/T0F+PtExMVxx1SgmXjOJ6JgYUd1FOD26wsG09WR4o7i8hgOgqlYmPJYtXco7ixeRn5dHTEwMl1w+kptvvR13ZGSDDX5wlgdAODbAHfl/SZKq5bCTIwmPxQsXsGDubMrLKxMew0ccm/AQhNOj4/N4KS+v2RUBqqpSfDij+/yz/yHg9xMZGclFQ4cxecqdREdH19vkxqk66wNgTSosKGDxwgW8+vJLhEIh7HY7Y8dNYPKUqWLOTwh7Ho+Hpe++w0vPPYvX48FsNjN2/ERuuvVWoqNFSTaoZwGwWeuOzGySSnUMSLMyM1kwbw6LFy74LeFx401MvGYSNru9Gt5BaDg0irP38+Mnn5Dp11E1lUO7dlAUiqCsaDMArvj2DOjfneQm0dXyjqWlpcybM5u5s9/G7/djtVq5+dbbGX/11bjd9W9P75mq1QCoayqqv5TtWzezZfNWsgorMJpNmM0WjJYI2nbsgN0EWzdkctUNl+EwnN5Q1mazYrVaqtZGXSc7O4s5s97io+XLKSktxeF0csNNNzN2/ASR8BDOgITVGU2b7n1opOjoegibppLjc9O7T2cALI443BHWKr/TkYTHrDffYOm7SygqLMTlcjNm/HjGTZxIfFw8BkO96vdUSa39JNSgl7KCdL79+H1WbdiLLTGVdm1a06RRLAY9QG7GITau/IiDmUXsz3dx8XWXYD+D5EJV5jRCoRBFRYUsnD+PDz/4gPz8PGKiY7hi1CiunnStSHgIZ0jCFhFFq669Kv+o+/Hl5GMqj6RHz96/PauK83FHFjm/t/Qd3lm8iLy8XKJjYrjs8pHcIhIex1U7Pw1NoSz/EJ/Pfpbnlm7golv+wQ1XDCA5IZKjJ+NpIbL3rGPhq/9jU34QnwqaEQy1NEerKCHy8/NZsmgh8+fOobysjOjoGIZfcgnTps/EarOJnp9QJb8FOKny/yWp2pIQmqpSXFTEig+X88Kzz+D3+4mMimLo0OFMnnonUVEi4XE8tRIAtUAxm7//gBcXryJ2wC1cN/JcmidGHrtfVzbRqHVvLhnvIz1nMX6/jm6G2jo5uaiwiHcWLeSVl15AURRsNjujx41jytRpIuEhhD2P18uy95by/DNP4/V6MZvNjBk7jltun0xUVPXMK9ZHtRIA03eu5+P3P8YnmZk4/EKiIxwniGsySc1bMX5YO7QQv1Xo1jXUUIBST4gIlxM0FV2XMJurp/lZmZksnD+PhQvmoSgKTqeT62+8mYnXTMJqq5+bwIU6JJnpOugCOip//dRTUVZWxrw5s5gzqzLhYbFYuPX2Oxg3cWK9LGJanWohAIbYv3kdm/bkI5ma0bFjMlbriYoCSNjccXS5dCKKw4BBhqKsfezZupbVu0pJiLFTmJNNQJdJ6jqM0YPbV6mDeCThMXvWW6xY/gFlxyQ8JoqER4Omo6kK+RkHyM7No9QTQDJacMck0LJlMlZZwaPKKLKZWMvpXoUyjogIjncGx+nQNA2Px8OsN1/n3SWHEx5uN2PHT2DchInExyeIOeu/UPMBUK3g4MFMisoVDIlNSIyxYDzJxJ7BYsNgOdzr0gPs/GkFn64r4IIJ19OhsYOMbT8w993vkZNKqtSsowmPefP4aPkH5OflER0dzVWjxzDxmmuJiY0VF08DpfjKKMo9wM8/r+VgVgH+kI7JZMRgMmOzOdiVFonDFOBgvkTvy8cSG3f6t+HK6bgzv32rqkpJSQnvvbuEJYsXkZf7u4THbbfjdouEx6molQBYVl5BQJFxONzYjdKpHwakl7Nx3VYyClxER7lwRUbRZcAIrvJqZBnOfC2eEgpRkJ/PksULWTBvLmVlpUTHxDD8kkuZOm2GSHg0YFrIS+7+Tbwz+00+2VLGZTfM4Kp+7Yh325HQ8FcUse6TeSxc+gmBZueRMngUxNXutaJplTs8Pv7oQ1587ll8Ph9RUVEMHSYSHqerFm4R+rH/Pq3fiwGzSWHnhm948ik3f//7NFLinHQfNJROmuGM759FRUUsWbSQl196EUUJYbPbGTVmLFOnTcduFwmPhsyTsZY3n3uaT7crTHrqDa7t0xiH+beRgDPCxcU3PECEMciSDQE8FSGgdus8ejxe3n/vXZ59+ml8vsqEx6ix47j19juIqodl62tSzQdAYySRkW5sRgWlNJdir0aCGU5phbPs4sKRV7Ivs4AVK+dz85Zv6dh7IFdedSX9urc7o+ZkZWWycN48Fs6fi6KEjlZ1mXD1NfW26q1wKnR0xc+See/y2dosWpwzhgm9GmEz/flClSQDXYZdzQFtNf6KCqD2dgaVl5Uxb85sZr/9FoGAH7PZzG13TGX8xIm4XK5aa0d9UfMBULaTmtKc+CgLmb797NlfRIuOcZgtJ3trHV2XkCQDiW3O4dZ7E2mzYhlfrlzFppUfsG/bFsbdPp0xw88hwnTq/cCszEzmzHqLD5d/QGlpKQ6Hg+tvvEns8BDQNRV/3hrWrN2A1xRNh979ibSe6BqVcEQnc+75UKIeLmigqRzavY2MjHTyPJU9xWiHSnKrzpVFB6rYPk3T8Ho8vP3WG7yzeBFFRYW4XC7GHE54xMXFiznrM1ALn3gjyd36c07XFhAs4esvvqW0zIt6ggSYr6KcrB1ryCn2o2k+CssCOBu1YdTNM7n/gXsZfVEXgkX7+GLFCgrKA6fUAiUUIi83l4Xz5/HR8uVHEx7XXHsdV0+6joTERHHxNHC6ppD9yydkFhRjjUmkaau2J32+ZLTQuEkr2jaNQFNC5O/8ni++/Jothwrxlheyc8MPvPHCC+w+lFflIxoqEx7FLJw/j3cWLSI3J4fo6BhGjRnHrbdNJqEB1/Orqlrp8iQkt+PiUaNIjrbx/bL5fLN+G/nF5QSV3x0bqWt4y8vI2LWZL1buQDUZ0NQyNq76lk17c7FExNDx3Eu5/c47OLddIv7SQkp9Jz6D9wglVLnDY9HC+SycP5fc3JzKklaHEx6xcXEi+AloqsruDZuoKK/A6YoiLuGvFg9LmIwGLGYZJVjB92//m0OGpgwYehXjx43jmolXEU8QTanaYj9N0yoPKfpwOS8+/yw5OdlERkYxdPgI7ph6Z+X2TBH8zlitBEDZEkXHviN45L5rifRu4/mHH+C1+Ss4VFiBqqqomoYaLGftF0v48Kt19LjsCpKcJoyyzqG01Xzy3scUeRVUVcMaFUukO5ZGiU2Jjzj53Iuu65UJj8UL+e8Lz1NcXIzVamXU6DHc9+BD2B0OMewVqJxyUSkq8hAKaZiMJmy2U70udJRQBevWZrB59Way8kvQJSOOmGbcdudImiZWrdS8x+Ph/WVL+dfjj+HxeDAajVw1Zgwz776HKFHPr8pq7dZhdsbQ7vzreGNOF1Z++SUbf3mXmZ/OxmyPwB0VS7OU1rTt2JVRk7qSGOs8ulTGZjeR8dNX3DdjB4mxkVgMYGkxgBuGDiXOefKeW052Ngvnz2X+vLkoioLD4eDGW24VCQ/hDyQkSSbSbcdklAkGg3i9GqfWP5AwmSM4/+L2rPtwBf+8azM/DR3OsEsvp1OnsZit9jPuZVSUl1cmPN56k0AggMlk4rbJUxg/8WoiRMKjWtRaAJRkI1aHm9Qu/YlvmsqQomLKK3youoTRbCHCHUV0dBQupx2j4fAlI0cy7Jop9BpWgqJpSJKMwWgmKjaOqKhITPKJ735ZWZnMmz2LD95fRllpKXa7vTLhMW4CsbEi4SEcSzYYadOzM/aVh8gvzifzYBakNjuFvylhMDvoM+nvTDLOYunnv7Biwaus/n4l5wwbzaQrBpGUEHNaQVDTNLxeL2+/9SZLFi2gsLCACJeLseMnMHbCRDFtU41qd/JAkjCYLEQnNCE6ockpPN9KQuNkEhon//VzD1MUhaKiIhbOn8fyDyp3eERFRzN67FiuvvY6YmPFxSP8mSQbSewzgqZxP3PoYAa7t21EG9LsJIFLo6y4gkAgSEx8FDiSGT5hMsntevLNF5+y7tc03n39aYwOF9deNoBE96nVqVRVlbKyUt5ZvJglixaQk5NDdEwMl19xJbfePpnIyEhRz68a1atuUCgUIj8/j8UL5rNw/jxyc7KPHlo+5c4ZYqmAcEKSbMCW0Ie+fXri0kvZ8v0n7EjPJ6Sqx3m2jrekgL2//kza3mzUkJefP/sRzRrLgOGjufsfT3LPbVdi9+Xw5feb2J/nOaU2aJpGSUkxKz5czksvPEdOdjZRUVEMv+RS7pg6jejoGBH8qlm9CYC6rlNcVMQ7ixbx0gvPUVxUhNVq5cpRo7jvwYdwiISHcFISktHO6OsnMXJgKge3/cS9f3+FvOJylMOJOk3T0FQVVQmx/pPFbMsL0alnO5RgBRvee4W9ew+hIeOIbkTPoRMZ3MSOQwZdO7WFMF6Phw+WLeOJfz6Kp6ICo9HIlVeNZsbMu4mKihIJjxpQb24nOdnZLFwwj/lzZh+T8Jh49SSR8BBOmSO+A9ff8w+ikuYxZ8Eirp+0kc7de9C6ZTJRdgNlhVnsOlRGl76DuHhwH9xmmWBAI1SRwQvPv8wV117H+b1SKd+7iS2+eC4b1pd2zf66JFVFRQXz5sxm1ltvEAwGMRqN3D5lKuMmTBQJjxpULwJgVlYm8+bM5oP33qOsrAyb3c51N97EmHETiImNFT0/4ZTJRisxjdty1Q3T6Nx7INt27KPYE6C8OB8tFEFUQmtGntOaVslJREU4MUhgsjjoNnwCibKFsvRtfFO8H5PJxE2P/Ye+XVNxnXBHSeXIxev1MuutN1m8cD6FhYVEREQwbsLVRxN2Ytqm5pzVAfD3CY8P319Gfn4eUVFRjB43nmsmXSeyZcIZMZisxCQ0JTquMV37BVBUFU3TkeTKVQgWqxnD74ajBrOLi264HVXX0HQdXa+cU7TYbJhk+YTVj1RVpbysjCWLF7J44XxysrOJOZzwuOVowkNcvzXprA2AoVCIwsIC3lm8iIXz51FaUlJZ0mrEpUy5czo2UdJKqBKpcumW/a8/IpIkYz3NYxMqEx4lfLLiI/77wvN4PB5iDpdku2PqNNyRkWLOrxaclQFQ13WKiyvP8HjphedRFAW7w8HIK65ixt33YBfn9gphzuv1sPz99/i/J58gGAxitlgYedUo7pg6jcjIqu0eEU7dWRkAc3NyWLhgHnNnzaoMfnYHNx1NeFT9bFVBqEkej4f5c+bw1puvEwqFMBqNR3d4iJJWteusC4BZWZnMnzuH95e+S3l5GTabnetvqtzhIRIeQjjTdR2f18usN99g0YL5FBUW4oyIYMLVkxg3fgKx4vqtdWEfAHVdJy8vj+3bthJSFH764Qe++OxT8vPziYyMZOz4CSLhIYQvXScrK4u9e/fg9XrZkZbGO0sWkZOTTXRMDCOvuJKbb71NJDzqSFgHQF3Xyc/PZ+mSxcye9RYBfwCfz4uiKLhcLi646GLuuHMaNptd3DmFsJSfn8/77y1l4YJ5lJWW4vf7D587bWPgoPOYcud0XG63SHjUkbAOgIFAgDf/9xqLFsynvLzsmMcaJyVx5VWjMZnMlSW1jrtlqe6omoquV+4AUJQQoVCojlsk1C4dTdOZdbSgQeExj8bExNK33zlEuFwi+NWhsA6As956kxUfLcfjqfjTY3v37uXeu6YzYOBAzGZL2F1EG9avQ9M0QqEQc2e/TUyMmN9pSHRdo7CwiJ9+WEVJyZ+PcM3Ozmbu7LdJbp5M9x49RUXnOhLWP/WM9HQqyivQNO1PjwUDATIzMvhw+XJkSeLUz9qsHYFAAF3XUVWVlV9/XTm/E2ZtFNl+b4wAACAASURBVGqQrhMKhQgEAscdnShKiNKSEgry84+OFITaF9YBUNe0k14csixjt9sxm0xIUnj1rsrKywj4/UiShMPpxGwyh10vVag5mq5RWloKwRMf26DpWthN3TQ0YR0AXW43FouF8vI/P2YwGIiKqjzYKCYmBlkOrwzal59/xjdff4XBYGDUmLEkJTURWb4GRFEU1q1bwzdffUXpcYbAkiRjsVhwuevXHKB+NKjLGIxnfnZ3bQnrAHjhxRezds0vFBcXHXOnlCSJiIgIBp1/HrfefgdGozHsLqLsrCy+XfkNRqORIRdeTMdOnTCZavcAbaHuaJrGRRcPJSsjk3Vr16Kqxx6OZLNZ6da9B/37n4vxrL8x6miahhIMoWlBCguK0Aw2oqIjMRsNmIyGsPt8HhFe48Y/6NipMzPvuZd+55x7zNfdbjdXjhrDAw89HJbBTxBkWSY6JoaHH32M8wcPPuYxi8XC6LHjuPf+BzGaTGf93LCuBMjdtZr7rx/LY68tZ8uOHXw6/1muHT2aR177mJJyX1038YTCOgBaLBa6dO3KhKuvoVGjRgC0a9+Bm269jRtuulmciiWENYPBQGrrVK6/8Sa6duuOLMu4XG5uuuU2br7tdmLj4urF9espzuT75Qv4epeHIRf2o1efvgw6bxBN7BV8+ckKSvx+/pzGDA9hHQABnM4ImjVrRoSrcrFocnJzhg0fQVKTJvXi4hHqN7PZQlKTpjRt1gxJkrDZbAy/5FIaN06qN8uiJEnGYHXTslN3WjWOJTIiAqfbTYzDREleNqWKQrimesJ6DvA30tFgZzAYMBjCd05BEP5IlmUMh4OdJEsYjIZ6E/wAbO5GDBl7C03O9aCWFrAv7yC7N2+hoCKIrsooOug6hGNGpP78FgRBqBOS0YwjMo7mbg+vP3E/ryz4goAzkeaNowGdcF7leJb0AAVBCFf+0mzWfr6EJ+esZvIDD9K3Uypa0U4yvw7//lX4t1AQhDCmkXtgBx8s+5BgRAu6piYT43ZiMRuPSW6Hay9Q9AAFQagSv6eM4vxcPKZcsguKkYNl5OzewdaDhehBhcz0A9gVnaT4OCJt4dXnEgFQEIQqkHDHNiKleRPW/bia12YtonszO96yQnyKEUMgl28//QL/+ZcTEx1DuA06w6s1giCcZSQSWnbmuhn3M6hDAgc2/ECFI5VR101m5u1jadW0Ec07XcCgrq1IjAi//lb4tUgQhLOKbLTRqO0Annz7fVRdwmy1YTYZIX4iC3pdicXuwGIOz22gIgAKglA1koTBZMYVGX3s141GoizhfUiZGAILgtBgiQAoCEKDJYbAQv2na2i6zolq60qSVK+2pgmnTgRAoX7TdVRPPgcyC/D4lT8/Lsk43TG0TG5c+20T6pwIgEL9JklIEoRCKrr+56JMEqBJ4mPQUInfvFDvyfZ42rSPO+F2LFFZqOESAVCon3StsgaTbDjcC5TCsRqTUMdEABTOCurhw+VVVUVHQpINmC0WjLKEqoGq6VhMMpoSxB8I4CsvI6RCYlJSXTddCGMiAAphT9c1Dm76ho8/+YJ1W/dQETLROLUzV026np6tEjiwczvbPEmM6RvJobUf88bsxfywcQ9Nug5m7utPc7YfOSTUHBEAhbClB8s4tOMXXnhpNr6odvTqei43nnc5RoOMrqmUbf2QpxfsZUdGgC4jpyNJ0UQ268x5Pdexfetmyss9YVuGSQgPIgAKYUlXK9if9j3PPz+LNQXx3DNpFAM7NyPWZUOSQNd1vPlNkHxz2LI3j9KSUpBkIpNa0qVdSxIjbWTU9TchhD0RAIVqkZ+fz6GDB6ioqAAql5e0a9/hjE8+y927mbdefpPvt5Vw/f+9xJCe8bhtv12ukiThiE9h8GVjyS95j83lRw4flzCbTJhMYuAr/DURAIUqKy0t5d0li5n91hvk5+cf/fqNt9zKlKnTiIyKOr0X1BVWvreYr77aQFKPi5kyuPEJ5/HM0e3o1n8wZb+UHv2aLEliaYtwSkQAFKrs0Yf/xmeffoLf50P/3X6zBXPnYLFYuPve+08rIOmh/WzetYdCYzytm59z8iSGJNOmex+atz/OLg9B+AtiA6RwxhRFISM9nc2//orP60XTjt1p4fP5+OmHH9i1c+dpvKpOaO9qcnLzkZ1uolq0/su/YTKZcEbYTrP1giACoFAFPq+XeXNmUVhQcEzP7/fS0w+xbOm7J3z8uK+bdRCvz4vRYsURFVNdzRWEPxEBUDhjqqbi9XhR1RMPP4PBID6f77ReV9ePnKR95B9BqBkiAApnzOmM4PqbbiYqOvqEz2natBlXjh59WnOAtsQkbDYbIb+P0vy86miqIByXCIDCGTMajTRv3pwmTZqesJ5e23bt6NCh42m8qoSp1fnEJSSiluRTlLauehorCMchAqBQJbLBwL0PPMhFFw/FarNVFh04/M8FF17E9TfejMl0egfiyJYk+nVKpam1gpz0Dezy6YROOBLWKc3cQ9r3X1T5exEaHrEMporKMvcQwog9IRmbsWGuPevStRsz7r6Hnr37UFxcBICExIhLL6NVaurpv6Bkps/Fo+i/aQ+fbdzEf56Zzd9uv5LG0S6Mvx9K6zpl2Ts5sOlbyqJ7/fZl9NNKuggNlwiAVVSansbW7BB9hyZja8A/zTZt29Gmbbtqe72kDn2ZOHU6Rf9+hvULn+Ztq5dz+vWlaawLm9UMaojSkiKytq/BnNyNTj16AJWFE8rLfXi9AULmEB5Fw2mQMTTMe5PwFxrwR7Z66Hplb0P0N6qZZKRjr8E8/mwSbz75IKs+msuX779DUnJLUprGIwVK2Z3uZdStdzCiXx+ch1dLK94ydu7LwhsyIKs+fs0oomvjKFxmsTVO+DMRAIXwJcnENGnNjGfnMTkYRFV1OHyAkSxJIBuwWa0YfxfbDFYHfcfOoPuVU9AlQ+Wh3EYx1S0cnwiAp8lXcJAt33/ER2vT0QFPfjp5ZSG+Xb0Ws0ECycGw8dcQ+PPxE8IZkGUDVrsTq/0Un28w4XBF4qjZZgn1hAiAp8lgcZDUrg+DnJWT+0X7NrEj20eX3n1xmCSQzDSLdYj0uiCcBUQAPE3miFiS2sWSdHi+/9DPfpzxIfoOvpho228z7SYRAQWh2umaSmF+AU6XC6ut6vu/xce0qkR2URBqiY6iBvh0/htk5hZWyyuKHmAVSbIR2aAhi0AoCLVC01Sqa5mnCIBVFN+2H9FtZSxmEQEF4WzTIAKgroYIeEvZs2sX2bkFeAIKZlsECUktaNUiCaUkF0WTcSc1w3qay8UsrmgsNdNsQRDQSd++nr0H0inxqahqiM3btuF3f87WWDcGi4Ooxq3o1aE5FvPpbbmE+h4AdY3ykkKy9m7mx9UbyMwtQpWMGAwGzBYb+/fuI21LFMaCHVTYUrlqUlOsYsuAIIQVX1kROVkZFFQoaJpCSXk5uTnZhHxlGG0RKLZENO3MxsT1OgD6vWWs/2opr/9vDkVx/Xj44Zl0a5WEzSSDrqIFS5j/7GO8ufQbUodM4nIFRHdOEMKJROs+F9G6z0WATijkY6Hi5ZxR19GqRZMqv3r9DYC6xuYv5vDSSwsodnbm1RefoHmUFfORXQGSAdkSzfiZT2CR7mFjhYKiqtTnH4kgCMeqt5/28r0/sGzpx+RJ0Qy55kZaxNgxyX9ctSJhstgZdMkVWLdko/4hAFZWJgZJliorFIuTxgShTklIGI2mE9afPF31NgBu/uVbft2biS2pPxf0bo35hD8vidjkznS3NsFlq8yAaKEKdm3ZzN79B/GoBqx2F5JqomPvrjRrFHPyU8oEQaghErLBzIDLxxId46qWV6ynAVBj07qNFJR4SekST9OoiJM+2xiRQNOIBAB0TWPX2q9Z+vEaYpolE2EzkLlnM1//kMv05skkJcaI0kqCcDK6jhIK4KkopSC/EF8gBLIBqz0Cd2QUUS47ZcWF2J0RWG2nuMn7MFk20KxlSrU1tR4GQB30IJnZ+fiDYLdHYLWeenpc0xQ+mP0mWvdbuXzMEBpFmlCVUoqz/4NRrHYWhJPSNRVveQmZ+7azacNa1qzbQn6pB0x2Epu2oF2XHvRo25QtX71Hx6HX0qldyzrdTFVPA6AffyCEpssYDKbT2KWho6OQV1TIvp9Wsq1/F+LdTZBlN5cOG4g71iWmAQXhJFR/Me+/8igLPt9Cs4HjefTpV3EbQZZAC3k5sPEL/jF5IrtCjXi8x5V0qr4aumekHu4FlkCy4bBbMcgqwaAPRTnVNUISsmSiT7cOePev4vGZk7n37//mp53ZtOjdh+SYyPp4xxCEqtNVtEAhi59+gMVfbafdBRN4cPIo4hwWrFYLFosFq91Fi65D+McTf6N5hAVVCaLWcbPraQA00SK5EXaLTGlpESWeUz+XVpINnDfmNq69/DwaWSpY9clinnzwHl5e+DmHcktQz2i9pagXLZxl9N/++9s5zScW9HvY8/Ny5n/8M1p8F4ZeNpRmh+fLjwyaJNmA1RlJm94Xc/Wwjtidlj8cdqUfrbAO1Mq5LvW0QyPTtU8/ElZtpyDjAL/szqJNQuoJh8Ka4sMfVAhJFtw2E/YmHbn0unja9drEZx++zw+r17H0rXRwxTN5zLnE2c0nfGdd1yktLaGsvAxN01A1jR3btxMbG0dsXBxWq/W0zsgVhNqk6zoVFRX4/X50XScQ8JOWto0WLVOIi4/HbD7eta/hKy/i66ULySkPcUGfPrRJbnT8uT3JgMHiov+lV1JmjkICdFUh6CsjPTOHsrJyDBYHFosVyWCiZXISJlPNhal6GgChy7kXMOCrVSz5MZ33F33EkA63kuCyYTTKx/xiNDVERXEGm9LSiW7dnQirg7VrN9Kxcwe6DbqU9l37cOHnb3H/U2+zbd0vHLq45wkDoKZp5OXl8eXnn7FuzRo0TSMUDPLMv/+PrVs2M3jIhfTp2xe7XdQrbkg0XfttDKCDruloWviVDNc0jbKyUr5buZJNGzegqirl5eW8+PxzlJaUMPySy0hJSflzHT4thKdoL1+uTMOvxdO6RQJx7hMnHiVJpnFqLxoDoOP3lbPl2+W889UmjCYZVQlR6lUxxXfiiXuuxS0C4OkzRLdn7A3XkZP7bz7/YR6P/i+Jv914MUmxLoxHFlHqGr6ifSxb/DmuzkPon+hCU4N888FyZHc0/V1OrK5YOl96O13e+Zhypx3zCY6+PHK3fOyRh/n+u2/xVFQc/XphYQFLFi1kzS+ruWPqNIZcdFFt/RiEMOD3+VCUEACaruP3+/B6PXXcqj8rLS1l9ttv8d6771BSXAxUBkVPRQX/e/UVVq9ezT33PUDffv2O+Xt6KIAv+yC7ynS0SAcxDgfWUx3kaH4KMjfyzPMreGD2y7SKj8bgK2L3mo959lNvjQ+D620ARJJJaD2AyQ/YaPH+O7y74kWmrl5Cy9Q2NE1KxG7UKcw6gKFRV/oNuISuqY0xSBIqOkrBFl741zPsGzWa83q0oGjbF+RZOzFyxBBauI+/bklVVbKzstmwfh2eiopj7vC6rqMoCumHDvH0v57i7TffqK2fghAGgoEAuXm5aJpGcVER9941E1s1VDOubqFQiOysTMrLy497/e7euYOvvvj8zwFQUwn6PPh1MBgMGAyGU17aooeC+DL2sDd9LyvXZRB/npuEiBiadh/KiOL1WM01G6LqbwAEzA43zdr1YWxcM9r12siBjFx8CpitNuwOB42bpdKiQ1eSG8XidlRWQZBlI0NGjqFTuY5RK2XPrt3IUmNunHoeHVs3xX6C4xV1TSMYCBAMBE44vPH7/WRlZZKdnVVj37MQno5M7odCQfbu2V3XzTmhkw3N/X7/cXuukiRjNFswA4qqoKoqGpzSjinJYMYW34RWsSFWvPpPMrcMYcigfnRsl8r55/fHdAYlrk5HvQ6AAEark9gmqQxuknpKz5dlE0OunFRj7XFHRtKtew+MBoMop99AeDweDh04SGZmBlarlc5duuJyV89Wruqia5XJu3Vr1572sFMymrElNKKZU2Z/0EtBeQU+Vcd5KlumjFYim3Tn+hvHMuudL1j1wWy2rP6OXoMv4dLhQ+jsjsRQg3tP630ArDWSVFk04SQZXpPJRM9evfjvq69jsVhENriBOHTwIM8+/X9kZ2fhjozk0SeepG3bOl4B/AeKEmLzr78y+orLDxcF+TOj0YjReJyQYbRgj23NuV0SyFxfRtqeDPLKAjijrCd+v6AfVTIiyzJ2VywDJ95P6669WLr0Q7769mc+nvMc6zbv48Wn76FFrIuaOtq5Hq4DrBuSJOFwOLGcZJlLfEICAwYOEkthhLAjSTJ2hwO7w3HCSiuJiYn07NX7OI/IOF3xXD5pIk6HgXVfr2RD2sETrn7VdZWCvWv5dv0uCso8eHO3s2m/l8SOFzLjn8/z0vNPcH6qi30/vMfnW0op9ddcxlwEwGoQCoVI27aNO6fcTkF+PpIkYTKZMJnMSJKE3eGga/fuXHfDTQy/5NK6bq4gHENVVdLStvHEPx/F46mc47NYLJjNZmRZxmazccGFF/HQPx7lvPMHH/c1TLYIUs8dx83Du2It3siCN97gq00HCSrab2uodZ2Qr4zMLSt579tMmiTGE21RKc3Zy/vLPsXnCyIbzTRr041x40fglGVMRhm5BvfgiyFwFYVCITZt3MDLL73Ill9/RdM0evXuzUVDhxMMBsnJzqJDx06079iRxMRGREdH13WTBeEoVVXZsH4d/3vlZdavXYOuaXTo2JGhw0dgNpvJz8ujZUorevbqTaPGjXE6ncd9HUk2YnU14pJbHkJyzeLrtdt5+V+Psa5nF1JaNMFlt6AG/ZSXFBIyR9NnyPk0i4vAbPAS8JSw9tOlzG/qZHC/zji1IrLzymnR7xLOSY3AbhIBMCwpisLO7dt55aUX+emHVei6TqdOnZl+1z106dIVi8WC1+fDcZJhhSDUFU3T2LljB/975WV+/ulHVFWlVWoqU6bNoHefvrjdbhRFwWI5xXMiJJn4Fp258vqptOu5kW+//5lDOzaSm7EPp9OJ0+mmSUpbuvfpT6tGbiwmA3pIxe6KpmfXFmTv3MQqfx42WUW3t+e2af1IibFhEUmQ8KLrOqqqsnvXTp568nHW/rIaSZJo0aIl9z30N7p26350nVdExMlrEQpCXQgGg2Skp/PU4/9k/bq1KKpKcnJzpk6fzrkDBuB0Vl63hjNIwboTW9I3sSV9L7zqL58rmewkdrmMf7902Wm/T3UQAfAMaJpGfl4e9919F9vT0lBVhTZt2vLM8y/SqnXrE+yXFITwoKoqWZmZ3DVtKmlpaQSDAVq1SmX6XXcxdNiIMwp6ZysRAE9TKBRi547tPPy3B9m1cyeaptK9Rw9m3H0vKampmEw1u3BTEKpCVVV2bN/O/z35OGnb01CUEB07deK2yVMYOOj8BhX8QATA0xIKBtm0cSMv//e3hEePnr24/Y4pdOve49TnSgShDhxJeLz2ysusW7uGYCBAh46duOGmW+l3zjkNcrpGBMBTFAqF2LlzJ6+8/NLRhEfHTp2Zefc9dOrSFbv99M42EITapKrq0YTH6p9+RFFVUlqlMuXOafTu25fo6Ji6bmKdEAHwLxxJeOzauZOnHn+MtWt+l/B48CG6dOuG7TQPdhGE2nQk4fGvJx5j3do1qKpKcnIyU6fN5JwBAxtkz+8IEQD/gqqq5OXl8eB995C2bRuqqpDaujXPPPcirdu2FQkPIaxpRxIe0+8kLW0bwUCAlFatmDbjLoaNuKTBzfn9kQiAJ1GZ8NjBww89wM6dO9A0lW7de3DXPfeS2qaNSHgIYe3IsPdfTzzG9rRtKKEQHTp2YvKUqQwYdF6DD34gAuAJBYNBNm3cwCsvvciWzZUJj+49e3Lb5Dvo2r27SHgIYe1PCY9gkPYdOnDjzbfQt3/DTHgcjwiAxxEKhdi9ayevvvwSP//049GEx1333Eenzp1FSXshrB1NeLz6Cqt//glFUWmZksIdU6fRp28/sR3zd0QA/J3fEh47eOrxx1hzeIdH8xYtuPeBB+kssr1CONN1gqEQ6emH+L+nnmDtml9QFYXk5slMnT6DcwcOJCIivOoQ1jURAH9HVVVyc3J46IH72LZlC6qqktq6NU8/9wJt27YTCQ8hrGmaRlZmJndPn0batm0EgwFaprRi6oyZjBhxqZjzOw4RAA8LBoPs3r2Lvz9wHzu3b0fTNLp2687d991PmzZtRcJDCGtH9qY/+dg/KxMeSoj2HTsy5c5pDBg46Gjw0zWVgM9DSVEBOTn5SFY3cQnxRLoisFsb3jUuAiB/THhsRtM0unXvwW13TKFr124i4SGENVVV2bBhPf975b/HJDxuuPkW+vTtf7SwAbrKoa0/8u0333FITeScbskc/H45mw/6aTdgBKNHXkBUA4uBDb5GUygYZOeO7bz2yn/5+acf0TSNTp07c9e999G3X3/sDpHwEMJX5d7etMMlrX5CURRSUlpx+5Q7Oe+8wcckPLRABT98upRlX64jtk1/BgwazOALBuBN38jyd5awKy94wirO9VWDDYBHjvrbuXMH/37qCX5ctQqAlikp3H3fA3Tp2u2ExR8Foa7puk4wGOTAgf08/a+n+OnHH1BCIZKTm3PnjJkMHDiI6Jhjt7dpIR/FFSFM7ka0at0SSdOJimtOXIyL8rJiDuV4aWgRsMEOgSsTHtn8/aEH2Lp589FikE8/9zzt2nUQCQ8hrGmaRlZWJvfOnM7WLVsIBoO0TElh6vQZDL/k+AkPY0Q84269h4u8EsktZIpz9rNx1Zfsy8hD0xqjKEodfCd1q0H2AEPBILt37WLK5NvYkZaGpml06dqVRx9/krZt24uEhxDWKhMeu/j7gw+wbetWFEWhfYcO3H3f/QwecuFJqo/LOCMjkT37efWx+3l23koiWnSjWZPEyocbWO8PGmAPMBgMsGnDRl7+7wts3bIFTa3c3nbr5DvofLiMvSCEK1VV2bhhPa+98jLr1649nPDoyI0333w44XHiaRvVX8Lqz5ex4ut1tDxvFNf0bEcTR5AvLWag4fX+oIH1AIPBINvT0njt1ZdZ/dNPaKpKp85dmHHX3fTr3x+HSHgIYUxVVdK2beP1V1+pLGmlhEhp1Yrb7riDQX9IeByPt2gnK95/nz3lUfS/YCDtWiRhtxiQ0EGvnFfUNZWG1BVsED3A3+/w+M///Ys1v6wGoEXLFO669z66du8hgp8QtnRdJxQKkZGeznP/+Te/rP4ZRVFoltycO6fPZOCg83G5/nqHh7d4LwUlHgK2cgIVJZQZTXhz0ikoLkcJGagoLSIvVyUmLg6TqWEsmm4QAVBVVXKys/nH3x5i86+/oqoKKa1a8e9nnqNDx04i4SGEtSM7PO69awZbt2wmEAhUJjymTWfYiEswGk/tY2yLTCE20sKa9d/xf4/8ixG9E9m6aTe70vOpKAry1dLXKdl3HjdOGExMZMPoENT7ABgMBtm3dy8P3Hs3O7ZvR9NUOnfpwv0P/Z32HTqKhIcQ1lRVZc/u3Tz+6D/YumULoVCIdu07MHX6DAb+bofHqXDEd+K6W27FumgpOwsLKLGex+T7R3Pgxw94/+vNND93CDeMHEhkhK0Gv6PwUq8DYCAQOLrDY9vWyr29lQmPyXTq3EUkPISwpqoqmzZs4LVX/sv6dWsJBgO079Dx8A6PfjhOc52qwWSnVbfzmdK8K2V+FWdUPLGRdhKGTaD9wCuRbW5iIh3U3DHk4afeBsDKhMc2Xn+tsiSQqqp06tKFO2fMpLuY8xPCnKqqpG3dyuuvvcLPP/2Ioii0apXKLbdP5pxzB5xxSStrRBSJEVEk/u5r5pgEXA3zSJD6FwCPJDx27tjBs09XThgDtGiRwl1330f3nj1F8BPC15GER0Y6zz3z9O8SHsmVOzwGnYfL7a7rVtYb9S4AqopCVlYWjz78Nzb/uglVVWnZMoX/+8+zdOjUSQx7hbCmahqZmZncM7My4REMBmnRMoUp02YwdPiIU054CKemXv00g8EgB/bv4967ZrJzxw5UVaNjp848+PeH6dBJZHuF8KaqKnv37OaxR35LeLRt146p0yt7fqKeX/WrNwEwEAjw66aN/PfFF0jbtrWypFW3btw6+Q46duosen5CWFNVlU0bNx5OeKz7c8JDTNvUiHoRAIPBINu2buH11149PGei0qVrF6ZMn0GPnr3ExSOENVVVD1+/r/Dzjz8QUkK0Sk3l5ttu59wBA8UZHjWozgKgrqro6CAbkc8w7/5bwmM7zz/7H35ZvRp0nZYpKcy4+z669+ghSloJYS0Uqjy0/IVnn2H1zz+jKCGSmyUzbcZdnDtwEG6R8KhRdRYAQ74yiguLcDZqicN8ZhFQURSyMjP55z8e5tdNG1FVjRYtW/Kvp5+hU2cx7BXCm6qqZGZmce/dd7Hl118JBgO0aJnCHdOmc9HQYdW3SF/XQWpIq/tOXZ0VQ/AUpJO2ZhX5Xh39/9u78/Co6zuB4+/fMTOZZGZy3+QgQAIhQMIh4AVBFxFbq9ar2rV1dbtdnz4PrI+22rVd+3SfbnVdnrpdu/qsW9Fiq9hWrZRDOQUiNwnkgARIOJKQyTmZe36/+f32jwQEQ5RAuDbf119JJpkjM7/P9/h8vt/vBay97kt4NLL4B09QXb0fwzCYWFLCL154kcmTJ4uEh3BVi0ajHD58iOee+SHV+6rQtAhF48fz1I+eYf5tC4Yt2xsOBvB0ujEv5CIbAa5YADS0CLoWRjeG/renVnj8/PmfUlNTjRaJMKW0jB8sWszEkhKsNhuSaPGEq1RUj1JVWclLL/wbe3bvIhwOM6F4It/7/hOnEx7D8/k18XWfZP2aT0QAHMRlGwKbUR0tHKTXH8I0Tbp7PPR4eunpcNOuy0iShD3Ogd1uRznjvfd5vXR2tBMMBgDw3m1VlgAADf1JREFU+/1UVVby8ZrV7Ni+DV3XmVLWF/ymz7iOuDgx5ydcXYLBIH6/v29Xl/4DuD7dtJGKLVvQNI2x4wr5+3/4PjfePGfYEx7hUF8P8IKGWSPA5QuAhk5X/TbW72/BMEw8zfV0dPbQZKwiwyEhSSpjps9h+vic0wGws6ODHdu38af3ltPT04NpmjQ1HeG/Xv4VbncbpmlSMGYsTz71Q8qmioSHcPXxer0cqKulsfEIpmni9wf49a+W0Ov1Eu3f0mrxk09xw003Eh+fcNGPZ5oGejiEFjUwTJNgIEg4EsHn8yErCpKsYFFVrFaxCQiAZF62vrGJEY2iR6MAdB7aQ+XuveTPf5TRCTKyJCErKooiIwGmYfDSv7/Ae+++g7utbcC9KYpCbl4ev3zxJSaXlmKzxVyelyEI58kwDNasXskr//kytTU1Z90mSRJ5+aNZtPhJvnbnnViGac46qoU4XrWZBneISNSg6+Rx9u+t4qbbFiLLCorVQd6EyUzITRmWx7vWXcYscF+As8h91ewWi4oiK1hUK1ZrX9A7Ne8R6T+qcuWKj+js7DznvaWlp/PIdx9FtVg4VN+AdKG1NIJwCRhRg+bmE7y8ZAlNTY3n/B2n00FxyUTkYVzhIatWsopnkTSur8ysrekggR4vN950c18PUFKwxojOwimXvQzmVJCTkPoy85L0+df9QqEgq1eupLuri+ggJ1X1dHfzP6+92l/kLIKfcHUxTZNQKEhHezuRcPict/u8Pk4cP86YseOG7XElScZid2CJMTEx8cXFYbVacTpdfYFWksTVcoYrVgcYE59K2qgCXDZpQPzSNJ3ammoikcigf69pGh6PB7/ff4mfqSAMnWmahEMhNE0b9Hc0XSMQCAx7hlaSpP5AZyLJEpIkIcvyl5wWN3J9RQA0MXSdiKYRjRqYgKwoWK02FFnCMAxME1R16F342JRRTLohG+SBLZIiy2RkZqIMUgslSRLJKSn8zfzbiBXL3ISrUDQapWb/fvZVVREIDGykJUlCVVVsMTGXtEbZarPjTEwWg6RBDBoATcNA1yN43Mc5dOQond29aKaCMzGVgsIiMhJj6WlvR4tJIDf1qw9k+SJJVgZ9T2Lj4njobx/hs61b8ft8GMbZxYKqqjJnbjnPPvdTsc5XuCppmsbO7dv4+c/+hYMHDgz4DFssFvLy8iksLELunxc3TbO/N2gC0hnTQ2b/Yo6hRjGJpMx8vn5/9unHEM6mPP/8889/8YemHsJ97ADvv/4iL/5mOc0+mbSsbFJcNrqP1fL+sqVs3VPFhk07CCWOpXT08GaUZFkmKSkZv8/L0aNH8Xm9Z90+afIUHn3scQrGjBEFz8JVSZZl0jMyyMjM4vChBtrb20/fpqoqN82Zy4+e/TGjCwpQFAUjGsbT6ab5+DGam1twd3QS1k0sFguyoRHydGCxD71AWpLk/uSHuE7OZUAZjBkN0bBrA79/620q22N44NHvMKO4gERnHBZVQg+H6O5oZcfK3/LR7l7K7lnE0/eWXZInd7K1ld27drJh/TrcbjcA8S4Xd997H9NnXHdeRwEKwpXU6/Hw2WcVrPjwQzy9HgByc3O55977KC6eiEWVcDfVsOqjv3LopI/ErHxys9OwotPlbsYTsRDvtOFu7WbxM08SY7GK0ewwGjAE7jpxkL+88zu21rqZ83c/ZuHcWThjLGfs2BJPUmo6Dtt3afH9CTMSOtVhH3YZmZnMLZ/HlLKpeL29ANjtdlJSUkXRs3BNcMXHM/v6Gxg/fgKB/tVMCfEJJCQmIBlhGvds4Y3X36JFyuL6WxYwu3QcqYkuFFPH09XGoX2f8cGKtTT1xvFE1CBG1C8PqzMCoAlGhOpP3mbd9gNYsq/nG/Nn47Cde7uq9NETKZ/TQmX3GfdgRAmHQ0QiGoYJqsXSV3dktWC5gEQJQJzDMeTTrwThauJyuQaMVgw9xMnD+3nzlZdZdQCefuEnLJhdTGLM59dJSnomOTlZJDlgyZvbCJkSDkDM5g2fzwOgaWAEjrFi9Q5aemWm3TqTwjT74Hv1STbGTJ5BgufU5K5JxN9NXeUu6o60EDEUUjOzUCSViVOnk5PqvOQvRhg+pmlgGObpEg1JllFEGcWwCfe2sOnDd1lecZTi+37JzAn5ZwW/U6yONMZNnc8DR934JIlEExTp1PtjfJ4c6U+YyGJBwJCcDoBGVMdzpI76Dh+m3UV2QQHWgSV6Z3EmpOKIN5EwwQiweukSGqRi7r7vbpKlXta+9R+sOJrK4zlFIgBeQwxdw9t+nCNNR2lu60aOiSc7N5eiwjHYVFnMQV00gxPVO9mw9lMsscnc8+2bSUoavJohLimDGbfeha6oSPT1HrvcrRyqb6A7CGkZ6aiylfjUNPKzRuj5lhfodJNuGgY9HW2EIhqKNZb4+Niv/KDLstx3UIuhY3TU8td1NaiuBJwOB87EdMrv+zaTslyco2ETrlLRUA8tNZ/w46f/mW31naRmptFet5lfPPcc//pmBe09gSv9FK990TCNh+upP+7F6kpmZradWMvgvWvVYiejYAKZqoxiRKjbvp5lS/+ANyaVvJx0mveu4XfL3mNP07mXjQqDO+u/rus6pmn2VY4rQ2nnTcyoRiDko2L9WjZ/touWTh/O7EnccfuNZKeI3t+1ItjdRsXy/2XddjdjJ5UyacpUZs8uxd66jw+X/pGWHj9iY6WLY0Y12ts6cAcMbLEOUixg+ZLLTZJlFNWKVQIj7GPnp+toCCYwsaSE8cUlzJw7j9FJdrTQ4CunhHM7PQSWJIk4ZzwWVUEPB/H1DiG7KynISWMoL8vk9xu38psXGth28wLuXHgrRaPHkeCKvWQvQBheuq4TChrkjp9OZpIDyTCQlVhyEww219US9AfFDusXyTQMQuEImiQhKwpDmVQwtCCt7nYON3bTcGQB1txUErLHc0O5QVDshTlkp3uAsqKQmptPapwdPeDlRGMTEZMvbe1PV65LCpItjfsX/YTHHrwNV6SVFUuX8I+PPc5/v/MxJzp9otdwjUjILuSBn73GK689S44L6vdsZs3qNdR16phoYmfhYSBJMjabFRWI6jq6aZ739aHa4sjJTKGrfgvPLlrMG8tXUt/io7CsjJkT8y7l0/5/6fOVIJKMHJuIp+5TahuOEYlamTq3nBS7gjxIcx/0evB0e1DjYlH0ABElgcLSWcy7ZQ45cREaavdTuXsf9qxCiotGEzOkYbVwZUjoWohDm//IG8s+5CSZTJtShHFgLbtPOrjnobsYlZYgeoAXQZKh7XAleyt24pOd3Pjg/aTEWFHP438qKVZy8nNJlL3U11SxZcNaVq1cR4/pIic3h0SHOAhsKM5YCichyRaSU500Haimoek4PlsmZRPysFkGBsGQ5yS1lbuo99gZNyoBOqp5v6KLzMxUMtLTyC8sZmK6wZbt+7FnlTBr+iQcF3j6m3D5eNqa2Pj2y/z6o2Zu/9bDLJw7HRe91G/+iJ0tDu4WAfDiSTJKxMORA1UcbOlBzptHaU48jphzL803DR09EqQroqJKBqrdQW5xGdPLppAVq9N0uJ666mq61XRmTi9CXGbnT/7itxljZ/DAQ/czKSeOiuWv8vqyP7N7/0GaW9vo6Oigve0kjQf3sb1iC40+OyXj0lEwMCMedq16j22VB+kNmzgSUiksLCA9JZ30tCRs59O8CVec+2gNy95bR2tsMZOLxpKRmohFVQhrRt+UByYGJhdwlpVwmkz62MnMv+UGktUgm95+ndqmVvzhgXtfmoaOt6eLPZ9upNWnY4S91NYdwUMSpbPLefB7/8Six+8hUQ1StXkzbfqXT1sJZxvQ5Fjikplafheu1HR+++obbPxgGYcrKxg3fjyZKS7MiJ+TrW0kFc/j1lnFfb2BaARJtuLvOMSqD/6MzSoxJc9J9b7DZJTeSvnsSThtIgBe/Uz8vT6Od/sJxbfQ2tlOrBzEfayB5t4omH462k7SlmAlJSsTmyi6vWAxCaOYdsd3+HpNA+9v28C77+Zhf/hOCtKTsMdYkSWJqB4hFPBxtGoTDb1JfDNJRvL5qdxegbVIImPWOOIzC7h+/p3s2lPHXr/9Sr+sa845d4NRbXGkjSpk3u23M7UoD5czhqgWQYtCfMZo5t7xTeZMLSQ5Pq4/f9W3hU9sSi5ZyTF0njhM3cFG1OwZPPytb1CYk3pe8xvClSYRCXTTvO0TDh7YyYlWNzV7t1N/5ARKuIWGth48PT0k5o9nTG4mqgiAF0ySZByuREqmTUNzH2Lr+o+p2FmNu8dH0OehvfUEdVU72LSxAk9MPl+7eyEuq4IR6mXjX/7Amk1VpOWNIT0pjubarew40M2k8oXcNjn/yp11ew360kORTNMgqmno0SiG0Vf7IMsKqtWCIslnzAOZYBhEdL1v41TTACRkWcViVcUSqmuIHvbT1ljJW0uX45ESmV6+gJvKcvA2bOHV5buYd/8j3FhWiNNuEytCLlrfQWHBgI+TR/azc+ceGppa8YejxLiSGVcyleumlTIqLR6bzYYsgR7oZv3qFVQ3thL09hKKGMRnjGb2zXOZXJiLM1YkQYbiMp4KJ1wbDKJahM7OLqKmQpzTSZzdiqEF6ejy4UpKIsZmQyT0h5cWDhAIBAiGwkSjJpKiYo+NIzbWjs1yxpL9qIYvECIYDGLoGlHDRLXZcToc2EWjNGQiAAqCMGKJsakgCCOWCICCIIxYIgAKgjBiiQAoCMKIJQKgIAgjlgiAgiCMWCIACoIwYokAKAjCiCUCoCAII9b/AWuzTgodu2NPAAAAAElFTkSuQmCC)
In the basic CsCl crystal structure,
and
ions are arranged in a bcc configuration as shown in fig. The net electrostatic force exerted by the eight
ions on the
ion is :
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)
physics-General
physics-
Fig. Show two coils A and B placed parallel to each other at a very small distance. Coil A is connected to an A.C.. supply. G. is very sensitive galvanometer. When the key is closed :
![](data:image/png;base64,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)
Fig. Show two coils A and B placed parallel to each other at a very small distance. Coil A is connected to an A.C.. supply. G. is very sensitive galvanometer. When the key is closed :
![](data:image/png;base64,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)
physics-General
physics-
A rectangular coil ABCD is rotated anticlockwise with a uniform angular velocity about the axis shown in fig : the axis of rotation of the coil as well as the magnetic field B are horizontal. The induced e.m.f. in the coil would be maximum when :
![](data:image/png;base64,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)
A rectangular coil ABCD is rotated anticlockwise with a uniform angular velocity about the axis shown in fig : the axis of rotation of the coil as well as the magnetic field B are horizontal. The induced e.m.f. in the coil would be maximum when :
![](data:image/png;base64,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)
physics-General
physics-
A conductor rod AB moves parallel to X-axis in a uniform magnetic field, pointing in the positive X-direction. The end A of the rod gets.
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u2bqOhvp5+6emx+OqTTz6Jz+dj69atLF26lFtuuYXU1FTTYF0Euh0JNAqhg8EgPp+PjIyMC74AhiKEpmnU1tbyzDPPUFtbx8KFD7Lg/gVkZGTR3t7G0qXL2LdvH6NGjWLatGmMHDmSuXPnsn37dlauXMmqVauYNGkSkydP7uIV9oT4ncdIHAVEUUVHRVEULBZbNO0mktEf2RyA7niV4XCY7du3U1dXx6BBg1i0aBEulwtFUVi+fDnPP/88gUCAmTNn8uijj1JUVMTjjz9ObW0tpaWl7Ny5k5EjR5KYeO6Y2eVG0zSam5vZvHkzDoeDe//hHxgzdizt7T6e+s1TbN68mc6OTgbnD+bue+5h3tx5DBlSwIMPPcTBAwfZuHEjDQ0NZGZm9ooJbSzhjbhhZ2cnZWVlVFdVc/XVVzNnzs04ExysX/8+S5a8zoYNm1GUEFarnWuvmcgvfvELcnNzufXWWykvL6eqqoq9e/cyadKkC46zmvSwkaosyyQlJZGenn7RWnxpmoYoitTU1PD555+jKAozZ15HcnIqx44d45e//P/59a+f4r331vDrXz/Fv/7rt3nzzeUkJCRw//33M2rUKJqbm/n4449jy6/zCdhqmkYwGIyWIEV2KnXCaHonohimo6OVvft2c+JEPaFwCFESIx5BNz7X4/FQVlaGw+HgzjvvJDs7m7q6Or773e/GYlXV1dWsWLGCjz76iJaWFpKSkrj22msJh8OsX7+e8vLy8z/JF5l4D6S9vZ21a9fS3t7OpEmTmDB+PKqi8s4777L0jaV8frCciopKtm7dxlO//jUff7yVUDDEwAEDKS4uJhQKcfjwYfx+f68wWMYxGGGK2tpa9u3bj81qZfy4cbgSXdTU1LBq1So++OBD2rxtdAQ68fra2b9/H++//z4AEyZMYPDgwfh8PkpLS1EUpddvnPQFum2wUlNTYzlQRm7JxcD4nEOHDuHxeEhNTSUzMwtdh/XrN/LXvy6nrq6ehoZG6usbKCvbx1tvrcDj8TBkyBCKi4vRdZ2tW7fGPu98lqmapsWMVXt7O28sfYP33ltDaWkpK1et4tk/P8f3v/ck+/fvJzExgXFjx0Z3gL7cSdU0jZaWFiorK7HZbIwaNQqLxUJzczOffvopdXV10WV2JCdr3bp1HD58GJvNxqxZs2Ixtd4kSR2f3NvZ2UlLSwuappGVlYXb7cbr9bJ58xY8J1tRFBVN1enwB6iuqmXNmrWcPNlCamoq48aNQ9M0Dhw4QEdHx5Ue1hk5efIkh8rLkUWJMcWjsVmtHD1yjF27dtPu9aLpOpoOiqLi9fnYsmULuq6Tnp7OyJEjCYVCHDx4MJZ7Z3JhdHtJGAwGY0l9xtPnYiT2Ge53MBhEVVWGDh1KdnYOINDQ0MCJE01o2imvydvuZefOnRw5coQxY8aQk5ODJEkoikI4HCYhISH2uT05NlmWsdlsyLJMU3MTP/7RT8jISCEjqx91dXU0NXlobW0nwZHAVVeN4+6755OWloYofblxNIL5oVCIrKwsnE5nLN8rvgORUWz++eefU1ZWxoQJExg0aBCyLGO326/YbtmZiM9aNwy9rutYrVYEQSAcDhPoDIIgIYsyOsbrNI7X1dPRESDJlYTD4UDTNKqrq1FVtVekMsR76JqmYZFlbFYrkiCQ4HSCqmO32XE4EhFFCxoQKf3QEUWJwYMHx86L1+vFYrGQnJx8Rcf0t0S3XRGv10sgEMDn811U8T7DYEmShM1mIyEhAZs1kpQqipE8KEEQYz9GXpRhPOMnvBH8Ph/XOyEhgVGjRpGZmYkr0YWqqtTXN7Kv7HOaGtvRFMjOzGbUqNF88xvfZObM67o1uQRBIDExMRYfiz9WY3PAGEcwGCQlJYVBgwYRDodpbW2N6XSdOHGix2O6lBiTWpbliFpHdIIGg0ESE13k5uZhtzvQdVCjXpYsWxlz1VjcbjfBYJDW1lYkSTpjqdWV4vRSqJzcXMZcNQZNVfh0+yeEw2GGDxvJzBk34HZnIOBE0BMRsZOamsbEiRPRdZ3jx49z6NAhXC4X06dPP+/YqklXehR0D4fDtLW1cfz4cTIyMi5K9q4oiqiqSlZWFna7g927yzh2rIKCggKG5A8hNzePqsrK6DEIOBOcFBYOZfTo0ei6Htth69evX+zJdj5LwsTERBYtWsSCBQtipSGSZEHX9Gj9pIgoRsqSHE4nmq4SVkJIspUvs/sWi4WCggKmTZvG2rVrWblyJWPHjmXEiBFMnTqVuro6mpubYxP/hhtuYNy4cSiKwqpVq/D7/WRlZZGXl3de5/dSYRishISE2A7trl27qKysZOLEyTz+xBPU1tby0UdbaW9vJyHByejRo5k160YSEl0cLv+cdevWoWkat912G2lpaVd6SDEMY2XEbAuHFKBrGq8sXsydd9/N4CFDeeSRR7HaU3nu+cX4/QGyspK5995bmTFjBrIss2XLFmpqanC5XAwfPvyixXz/3um2xREFkNBxWGVsFglJFIiXbzhfkRXDuESWglkcPXqUiqrDDMrPY/K0a3m8bREvvvAiNXX1pKSmMXXqNB595EGcTid79uxh+/btWCwWZs+eHXtaK4rSZYv8y4hfAqSlpXVNH9AF9KgjKaBHxiicegrrnPKYjO86/TsFQcDhcDBw4EBkWWbnzp0cPXqUgoICHn/8cex2O9u2bcPlcjFx4kTuvvtuXC4XdXV1fPjhh9hsNkaPHk1WVtZ5nN1LgxEnNMY2ZcoU0tPTqaysZMOGDeQXFJKTl8d3f/Ak69Z9QEtLC3a7ndmzb2To8GGoikLDiUZOnjxJRkYGBQUFvXIHTRAEEl2JjL16HAXDh/LJJ5/ws1/+nG9+89sUFQ1j0WMPcN3MyVQcq2HgoGyGFg1ElkXK9u7h3XffQdc1JlwzniFD8rFYpF6x5O3rdL/zs64jiyALIAkgdFFbhKjCWY8PwPCKsrKymDp1KtXVlSx943Xy8jIpKBzK3fPvICsri7J9B8jJHcDESRMZlJdNWVkZzz33HBUVFWRmZlJSUhIrf+lObM343nhOf5+uajHnyUhhEAQhJouk66CqGoJ4qjr/9JvSWO5cd911lJaWUlZWxmuvvcYTTzxBdnY2ixYt4uabb8ZisTBkyBAcDgc1NTU899xzbNmyhTFjxjB9+vRYbK63EJ8vlZKSwu23385rr73G6rffxp2cwl333MvwoUMZPHAggWAQAQGXKxGv18uGDRtZ8uqrBAIBZs+eTXZ2duxh0xsmdPwxyLJMwdAi7r7/Po7WVLHpo4+QLBYeeuBBCgsKGD92BFeNLkRHp93XzurVq3hrxQoOHT5ETk4Ot982D4fDhq6rUXVakwtB+uEPf/ij7rywdOtWtn38MRaLzE0330RWZhZWmw1iF0E4Lw9LURRUVcXhcJCRns5nBw6wr2w3zSea6JeSRlJCEgPzBjJmVDHDCgpxSBaOHj7EM398hvfffx+r1cqCBQuYM2dOrMTDqL/7MuJLZuJjS/E/unZqN4x4A6fraKqKpusoqoqAgCCeWQbGyF9zu934/X4++eQT9u7dS0JCAomJidhsNlJSUrDbI5UDhw4dYsmSJSxbtgxN0/j617/OpEmTYkmxvRFJkkhPT6e8vJxjx45RfvAgKApWSSLg8xHw+kBRqDx2lPffe48X/u/P1FZXU3LVGL7yla8wcOBArFZrr1FniEdAwG63kZ2TTZu3nSNHDnP06DH27d1LdVUVoFNbW01FZQXvrnmPF158gb1795GRkcH8+Xdy/fXXRR42AoiCZBqtbnK2+0BQVbVbbtEffvsbfvk/P0MUJZ5+5mmmzZyJK8kNQrTSHgHhPDwsVVUJBAKIokhrq4etH23hh08+yYn6BlyJiQwaOJi8nAHkZOaSmpJGeXk528s+peJ4JRaLhYceeohvfetbDBgwoMvu1blu/nA4TCAQwO/3EwgEzpiqIQBS9AZTNQ0lWsCq6zpKOAyCgCCKZGZlYrFaz1grZvR3lCSJuro6fvvb3/LKK68giiLZ2dmxhMmEhAQGDBjAli1bqKiowG63M2/ePL773e+Sk5NzUVNJLjbGBkh5eTn/+7//yzurVhPq8JPocJCQkBitGnDS1NzIyZYWZEnmnvvu45v//u+kpqWiaRo2m+2MNYW9AVVT6Oj0EwyHeP7/nmPJ60uorKxCVcLIoowsSSiaho6GM8FBQUEh3/nOd7jmmgkkJSUhIKDpGlaLHVE0VRu6w9kcjm4brD//8Wl+9fP/wWqx8syf/8TV4yfgTHQhXKDBMrwWY5s/rITY99le/vjMH9m65WNamluwSBYsggVJlFBVjbCukD0gh/vvv5/58+eTl5f3Bd2oc3lYHo+H5cuX88wzz+DxeGKTLh4RAbfLhSRLtLW1IYoiVosVVdMIhYIIosjNt9zCd/7jP2JBcVVVuwRYDQ8LiO2M7dixg9dff53S0lLa29tjHp6R41ZSUsKdd97J3LlzSU9P76Kr1Bsx4oaKotDa6mHDh+tZ9sZf+PzzcjyeSBciSRRJSHQxYEAed9xxJ3feNZ+MrGzgVP/L7sYdLzc6GrquQrQm9LODn7FixQp27PgUTdUJBUPIFpmMzH7MnDmTG2+8kby8vEhcTgfZIkfvSxkBs/i5O5xt/nbb3AeCQXQiCaTZWdnIknxR5MyNA7NYLJGdMuwMG3MV3/7+97l640a2btlKXXUNKDruJDeDBw9iwIABjB13FcXFxSQnJ2Oz2bokjHbnpg+Hwxw6dIiKigpCoRAFBQVf2HoWdJBFEQRwOp2RpZ8goGoarR4PlVVV7C3by8mTJxkwYEDsu09XQjW8LqfTic1m47rrriMnJ4ddu3bh8XiorKzE6/UycuRIXC4X48ePp6ioiJSUlLMG83sTRnqDLMtkZGRy05w5DB8ziqrqahoa6vF5fei6TlpaGoWFheTnDyHFnYzNYgedXj9GASJLOSEyhqvHXc2Q/CF4PB7Cqorf78fpcOByJZKSkoLb7e7iacfG19c1xHsB3TZY/fPySHa7EUUp4kFcZPXLiMysgKDr2K1OhhQUkpGRyfTpM/GcbEHQwWazkZaaSr+UVJKignDxWlE9ueHj87hGjRrFd77znS9srQv6F+2xjo7f52fDhg08/fTTVFVX0dzc/KXHcHoRudMZ2eIfPnw4wWCQtrY2Ojs7ycrKwmKxYLfbY0mYfYV4lQxXkpuChGHkFxbF4oGqqiHLEharFUkQkaPxnL4yREOuXUCIqaZmZmUhSJG0HMlQSP2yDzErcy6Ybhus1NRU3G434bASMSyXQAVTACQdLCrYJSvOpFRSnUnIRdFsaV1FEqXIza6fkm45Xx0uI6mzpKSEyZMnk56e3iXpVKBrXwFBENB0nba2NhobGxFFkc7OAKFQKJYZ3Z3dSVVVYxK6Docj5knF17H1lh2z80HQBURVQBatyFYpep0g6k6hqSqgI/SxcE5sH1wHXdARJSnSMEcS0U3v6bLQ7VumvPwQ1dW1pKWlEggE0PTT0xouDpIuYAtroEZ23qyCBTRQdA1EEUmQQBCiUs0Rt/t8kkXtdjsZGRk4HA4yMzNj8ZP4zzm9CYoe9Rbsdjv9+/cnOzsLZ2IiiYmJsYLpcxmZeMlk4zvjdym7G4PrzciCiEV2RLrKqHosBURXNURRAMESaT6jn8GF7Y3onNYvNZJMrBspLwLRAfaFwfRtum2w8gYOJDE5mcaWFmqO15PbfyBWqyPm0p9PwP1M6AIINgun1gqRp7KM2KUrT3yA9nwmdzgcpqmpKaapbjS7OP1YugxLFBARQRGwWK0gishRRVbonsdnxHvilSXi87f6qlfVBSHigXQpANB1BMnwtACxjxgrAISYLdKj3aEk4ZS3JXzBv+qaVN319yYXQrcNVlVVNS2tker7YDAcvXCX4AKInPa5AqcaWMb91jCU53kMxtIsvrXWGRFO+0v0dWFVQYm+P751VXe9LOPP3h5wPi8Eotcxztob8/fULO87CJEnpd7VzYoN4euOAc8AACAASURBVMwLQtNYXQq6bbBCoRChUBhNi7Q6uqRcpmtreDvZ2dndNhiCEF2qWq1IkkRnZ2e0R2EEU/Moytnma5+et2dJZuzbg+pTdHstlZCQ8DfV9UMUxVh29emNQL8MI15mtVqxWCx4PB58Pl8s1+pvylMyMelldNvDam9vj4ms9WSC91ZEUYzlXe3cuZNgMNijoLnR0cXpdHZJQTANlonJpaPbHlZhYWEse7e3ZiT3BKM1laqqPZLKEQSBQCBAfX09LS0tMcPVG+vgTEz+1ui2wfL7/bFCZSMZsC8TL5FiqAV0V45GkqSI0KDNRnt7O36/v897nCYmfYFuG6yUlBSs0QLf+Dq5voooithsNnRdp76+vkcxLFmWcbvduFwuwuFwrJ18Xz4fJiZ9gW4brNzcXNLT+yHLErIknloCGUl1fWyuGtIygUCA7du34/f7u/U+wzAZxb6Gxv2FBN2/9BT2yfOrAxroWvTYhegP0QTLS5N0fGWJjFnXIz/E9OL65AXstXRfwA8NNBVZ1NHVEIKuRhPmjIy6aJ5KHwnjCMKp1ARD3qY7xsZ4naFlZQTqexLXi1eoECURxMi5E2Ip4SCJUiRJNZa9Gs0C6gPnNzJpFTQVRCyRwmGjyFnU0LQQuiAgSb1TTubMnMpajjTUCAMCkiTG+ljquoKiKoiCiCSJSJJ8WqqiSA98BJMz0O2zF5E4EZElEbvTEXlKalp88nmfwmazkZ2dTWJiIm63u9s7n2dK+uwp8Zrhmqaja6dKcyCa1xP1Rr6YRd370aPChroAuiigi6AJoAnRchZJRBQl+pbXEfUaiRinyANKjzNW0fpIIfKA0fSIPlZsgvS1i9hL6VH5qShIOBwJJLlcyJY+Vrl6GhaLhYSEBKxWa0z14Xw4n7hV/Ht0TUNHQJIsaLqCpoMoRJcQRo1aLNu/b6ALoAogCkKkREePaEopiopFEBBFAUGnDypDGYocoCghvF4fXq8XTVPRdQ1ZFnG73dgdduS+VtndR+hBX8IAoGOz2UlMTIxKg1y6WaTrOqFQCL/fT2dnJxDxTCwWC06ns4vG+Znyp7qTU2W0F4uXSb6UxDcgjYjdtdLS0kJTy0msNgcCkJ6WRlpqCkkuF7quxapZdF2I9L/rxRjnUFE0Wn1+ampq6OgIoGs6wWAIURLo1y+NnOxs3AmJ2CxSrAa1d6eERJfk0WvX2trG0aNH2bFjB/sPHAA9Up7lcNoZP348hYWFDBo0ELfbHYvzCmJvHl/fofulOcEgHR0+WltbaWpspKCg6KLVEhpLIUPFwJjQhw8fZtmyZRw4cCC2BMvOzmbevHlMmTIFi8US26EzlBsEIdK38FwxKU3TYjt8+fn5FyRV053xiaJIOByONR5ta2vj2WefZdu2UiqrqukMhUlwOBg9ciQLH36Q2TfOQtdUbFYZXdOjyq69c21hTGRVVdF0jaaWkyxe8hqvvvIKjQ0NqJqGIEY6LeXn5zP/7nuZf8edZKSkdqk46M1GS9M1VCVMR0cnLy9+iVdffY1Dhw6jqgoWWUbTNTRN5YUXXiI/fzDf/va3mD17Nu4kN4qiYHfYe+GV63t022A5nQlIkhVFUejoDEQ0jS6CPEi8Z2N0EG5vb+fZZ59l+fLlsVbuRq9AWZZZvXo1w4cP58EHH2TGjBmkp6d30ZLqTgDcaFwaDoc5fPjwJWsFbxgo47hqa2t5+eWXWbVqFQ0NDRGpHk1A1aBNkvC0tLB7907Gjinhxz/5LwYPGoDNZr/ogokXi/gd087OTtavX88fn32Wg4cO0dnpJznZjdVmAQE0VePo4SM89ctfs2LpX1lw3z+wcOFCwuEwkiT12tIvTVMJhgJ0dvr5/vd/wDvvvIuiKIwePZLZs2eRmJhIKBRiz54yPt3xKTXV1fzXf/2IffsOsPChB8kfkh+5f0+TLzLpOd02WE3NTQQCHSQnJ5OZkREniXJxDsRYAtbV1fHqq6/y2muvcfLkSVJSUpg+fTpDhgzBZrNRW1tLaWkppaWlVFdX09rayrx582LNHLp7Q1itVnJycrDZbLHi5UvxhDc8Q0EQqKqqYsmSJSxevBiPx0NeXh4TrrmGwqLh6HokiPvpju3s31fG5o+28L3vfZ9//7dvMmr0KJKSUnutOqeh3rp27Vqefvppjhw5RnJKGg/cdz/X3TCdZLcLBAElpLBp00e8tXwVFccqefnll7HZbNxyyy0kJyf3Wt16Tdc4ebKZp59+mtWr38Zut3LLLbN5+OGF5ObkYnfYCYXC3HbbbRw48BlLlixhx45PWbp0Ka2tHp588vtkZmRGeuSZXBDdNlherxefz09nZwfeqEb3xcJQ6zQaQ7z00ks4nU7uuON2rrpqLNOnTSM7alxOnDjB+vXreeedd9ixYwcvvPACgiCwYMEC7HZ7bGlxruWd8UR3OBykpaVd0kaekiTi9/vZuHEjr732Gn6/n2uvvZb58+czefJk+g8YjKqLoKscKp/Bhx+u562/LmPz5i047Fb+7d++RXHJOCzW3umBKIpCbW0tr7/+OpWVlWRlZbPosUXcdPMs0jNS8Hd4UcIKqan9GNQ/nxFFo3jx5RcpK9vF7373OwoLCykuLu617dyDgSBle/bwxl/eIBjs5I7b5/LYY/9Efn4+Xq+XxhONSJJMcnIyN86aRVZmJr/93e8oLS1l48ZNXH/9ddx888045d7XLLav0YOgewhF0/D5O2j3etF0QBAveGPaMHzBYJDPPos8nbxeLwvu/wce+6fHSE/PQNVU2tu9BDo7SUlO5p6772bcuHH81w9+wK7du3n1lVcYO+YqxowZQ0RsTY82DTj399vtdiZOnNjjFlM9y73SqW+oZ82aNXg8HsaNG8vPfvYz8vLy0DSdw4cPoSPicNgoKChg4IA8Bg/K4yc/+W+2fLSVkpISBgwcQr/005pk9BJvJBgMsnbtWnbt2oXd7uAf//FR7rvvH9B1leO1x9m0eQN1dXXccfudZGbmMmvW9TicNn74ox/y2WcHWLlyJfn5+bjd7is9lBinHng6J1ta+OjjrTQ1NzJ06DDuuOMOCgoKIw/Yt97i/ffXY7VauHXOrUybNo3xV1/N4/+8iJNNzRw8eJBVK1YxdcoUHI7E3hiC7FN0v/i5aCjpGdkoqo6qCwiiDKJ4Kon5PBUkjbrE+vp6Vq1axaFD5QwZNIB5c28lMzOd1pZmVq14iwfuv4/77r2HPz7zB5RwmOKRo/j5//yciROu4eiRI/zxmWfw+XyEQyFURT2nB2h4Yq2trSxbtgy/339OA2Acq6GjlZKS8oU+hKej6xphJcTq1SvYu28PGZlpPPLIQgoL8xFFnWf++HtuueUGZt0wlZtvuoH169eQkGBnxoyZfOMb30TVBN5cvprNW7ahqlps+dVbajmNYvDnnnsOj8fDpEkTmT17FlabzOYtm1n0xNf4/pM/4jf/+wfm3nYnv/7NUzSdbKRkTDHz59+F3W7nwIEDeDyeKz2UGEZXcKN5RlVlFevWfoCmwZNPPsnV4ydQW3ec//n5L/nv//4Za9e+zzur3+U/v/OffPub3yLYGWDyxInMnjULQdPZV7aXuupalFD4Sg+tz9NtgyVJkVwlyUh2vFgHIEa6jng8Hvbu3YvVYmHu3Ln079+fqspKnvrNb/jRj37E/n37+OzAZyz/63LWrlmDqqoMGjiQ6dOnkeB0cuzYMaSoZHFP1SSMYP+5MGJRRnPUtra2bgXrg8EgTU1Nsc4402dMw2Kx8Oprr7J06TK8Xh+BQACPp4Wnn36G0u2luJKSuOOOO0lPz+DEiUb27z9AZ2dnlx3V3oARdG9rayMhIYH8/HySkpJoPtnMn579E3v27KGtrZ1AIIjH42Hp0qWUlZXhdDqZPn06eXl5lJeXU1lZeaWHEsPY9TTEKmtqamhsakTTYEj+EHRNZ//+/axZsy6WOCqKAh0+P4fKD/P555+j6TqFhUWkpKRyvO449Q0NhMOmwbpQun3XG2kAhodxsTSxjEB5W1sbzc3NIAiUlBTjdDhobGpi69at1NXV4fNH4mfHjx9nz57dfPzxx4iiyODB+aSnp9PR4aexsRFFUaAHx9WTMcTHxoRoI4xzvV/TVFpOtrBz5y5EUWDAgAGkpKTQ1NzE1q3baGpqjCYeRuoRDx0qZ9Wq1bS2tuJwOLjxxlnY7XaamppQFCV2vnpLoXW8N+JyuRg+fDgOhwOPx0NZWVkXddpQKMSJEyfYsmULXq+XtLQ0nE4nHR0d+HwXNy56IcRv3oiiGJEhUqIPpmhmSXV1DT6fl2AwGM0LTMRqs9La1srhw0cIh8IMGjSIpKQk1LiWciYXRrcNlqIowClZ4Yt18nVdR5Zl6urqItvbokhSkhuLxUI4FMbv74iU1+k6mq7T4e/gvffWsHffXoLBIAMHDqRfv360trZSW1NDOCrEd66yj/M9/vj3Gd7OlxlvXY+kWnR2RMZhyDEbnqUWLcuJTyY9evQo7W1tiKIQG3sg0PmF7+8tEyAUCsWKyeOXzXBq6W0Ye0Oax0j3MFqkXcx76kIxjjeSWCySm5uL252ErmuEgpFmJaNGjaR///4oioooCiQnuxEEEafTSWpqKpIk4vV5CSthHHY7siQhCr3DK+7LdPsMOhwObDZbl5yiixX01TSN/Px8UlNTsVisBIOBmIyLw26Pc5gEVE0lGAzG6v9aW1vx+zsIdAY40diIomnRnKXuaVsBPfIYT49ZdY13fDG2JIoi/fr1Y9y4caiqSllZGYqikJqSSnp6BhaL3OU4LBYrKSmp2B0ORFHigw/ej8Z3hC7f1Zsmt9PpxO1209rayrZt22hra8PhcDBy5EgsFktMysfQz7/22mtxOp1UV1fT1NQU6xzUWzYRDIyk1uzsbAYOGogsS+zes5tQKMSI4SOYM2cOSUkudB2ampqwWmWKRxczafIkZFlmz+49NDY2kp2TS25eHpY+Xs7WG+ixyb/Y8siGZ2G322P6Uu+9t4bm5mby8/O57bbbsNttyJKERRZxuVyMGjmS2+fdhtPp5JNPPuHY0aMkuZMYNGgQ9mjb+u5IHUuSdMEttkRRxOPxoCjKGQPwoiiQkJBA/wH9SUhIoKmpmd2796DpGvfeew8jR45EECLFwJqmc9VVJdx3371kpGdQU1NDIBDA7XYzYsQIHA4HFoul101wu93ObbfdFh1fE21tbWRkZPDjH/+YsWPHxiSki4qKeOSRRyguLiYcDrNr1y5OnDhBeno6KSkpV3oYXTh1biPL+Dm3zMFms7FixUpqa2tJTU3l4YUP8e///m1uv30eN944i/vvX8DPf/E/OOx2Wk6epLq6ioz0dEpKRpObl4ck9860lL7EFTf5hkeSk5PDjBkzKN22lU2bNnPvvfdQUlLC3ffMx5ng4MD+A4iSSFFRETfMmk2iy8XJlhb2799POBymsKCQoUOHxpYW55rKhrdiLFOM3/XUCCiKQlNTE8FgMCY3cyYmTpzIunXvc+TIEd55512GDx9GcfFofvLjH3Os4ijBYBBXYhIDBw2ksKCItrZWfvGLn9Pa2srQocMZNmxYbGzxRrY34HA4mDFjBm+88QY7duzg3Xff5Wtf+xpDhw7lpz/9KQ0NDQBkZGTQv39/7HY7paWlLF26FFmWmTt3LgUFBVd4FGfH7XYzafIkMjMz2b17D8uXv0XWE1lkZmay4P4F+Dv8hAIh7DYb6Wn98Hq9PP/8C6xduw67zR576PaSy9WnueIGy/B0UlJSuGn2bDZv2sj+sjIWL36Fb/9bBv37D+CBBQ/Q1t6Oqiokp6Ticrnx+ny888477Nu3D3dyMvcvWIDD4Yjt4onnTDeIGCqbzYbP57ugMRgB2jMbEAFBgKFFRcyYMYPGxkZWrVpFfv5grps5k5KSEkpKitE0o329xIkTTSxf/hYffPABFouFa6+9hpKSki67lL0FQRCw2WyUlJQwYcIENm/ezBtvvEFiYiI333wzBQUFDB8+PBZCMJbFf/7znzlx4gQjRoxg/vz5pKWl9RoDfDoWi0z//v158IEH+NOzf+btt99BEkXuuususrOzSU1JRdd0vO3tlO3dy5YtW3j99SWEwmGuueZaxk8YjyzJ0fvySo+mb9Mjg3Up4iaGt+BwOCgqKmLRosf53n/+Jxs3bsbpTOC+++6jX7803O5kBFHE5/NRWVnNx1u38off/x6/38/s2Tdxw6xZiJKETve2/I2gakSTSrsgfSuXyxVrYnHmzxBJS+vH3fPv5tjRY6xdt47f/u/v+PxgOVOmTGHAgP5YrRYCwSCqqrF502ZeeOFF2tu9jBw5kjlz5pCent7l/PemyW08cB544AHa29vZs2cPP/vZzygvL2fUqFEMHDiQhIQEGhoaaG9v5/XXX+ezzz4jPT2dBQsWkJ+fj9Pp7FVj6opASkoqX/3qv1BX18CaNWt45ZXXOXaskhEjhpOU5EZTVaprati0YSPHKipISEhg+rTp/MvXv05Kaj8UJRxJZja5ILqvOHoRhOvORLxxcTidXH311UyaOIkPPviAxYtfYd3a95kxcwbDhg1Htlg4dOgQb7+9muqaGhxOJ5MnT+af/vkxklNTenRcgiAQDodj3tX5GmNRFElLS8PhcMQ2I077JkRRJhQKkZvbn0WLnsDpTKS2tpYlS97g+edfJCUlhYKCAo4ePUogEIgWRGuMGjWKr3zlK4wYMRyL5VSdXW/JwQK67A7OmjULp9PJ4sWLWbVqFS+++GLMszKW4OFwOJqOMphHH32URx55BLvd3quWuKej66CpOjabgx//+CdkZGTy0ksv8de/vsVf//pWbIPImBupqance++9PPTQQwwePBhRkrGI0jm9fpNzc8WXhPFIkkR2djY/+vGPGTFiBMvfWs7+fft5/fXXYx5MOByRoXW73fzrt7/NLbfcwpAhQ67YMQuCEOv+fLZ6REPuxmq1Mnz4cJ588kmOHDnC9773PcrKymhqaqKxsRFZllEUhX79+jF9+nQee+wxhg0bhtPpRNO0c2bVXwniS5RUVWXs2LHk5eUxbtw43n77bXbv3o3X640ZLVEUGTVqFP/4j//IXXfdFZOW6e3E96N85JFHKCws5MCBAwQCAbZt20YgEOCqq65i6NChTJ48mcGDB+N2u7FarYTD4VOx1V5qlPsKvcpgGTd/VmYmDz70EBMnTqR0eykVFRXs/HQndoedkpIxDB0+nLz+eYwePTrWzedKEQ6HOXToEG1tbTHFiNOJ/53NZsNut+NwOPjFL37Bvn37KC8vB2DMmDG4XC6SkpLIysoiNzcXh8Pxhc/oTRi7xsa1czgc5OTkcM899zB58mROnDhBRUUFfr+fwsJCrFYrqamp5Obmxq5bfNeh3jpOQ2dNlmXS0tK4+eabmTZtGuFwmLvvvhtd10lPT8flcpGYmBjbgQZ6rQpFX6RXGSyIPskkieSUFMZfcw2ji4sJBALs3bsXu83GwEGD6JeREVNwjO8v2BPic5+MG6s7E+b0tA5d12lqaoqVXZzpM+KX0YaXkZSUxIQJExg9enTsvTabDYvF0iW4bngvvfmGP33X0m6343Q66devX0wrS9M0bHEpJ0bemqH62pvHF59IauSU2Ww23G43mqaRm5sbGwcQy8c7fTOmN4+xr9DrDBYIyBYLctQo2KxW3G43s2bNihgKY+Kfevl5I4oilmjtYU/6Esa/1ljqGZxusOLVUE9f+ohiJK+sL3O6MT192WrsxPZljEz8MyFJ0hnH3BuX738L9MrggcCZg/uCIHS1TxdgrAzDYhib7hgswzuKx2h5b+jC94V4jIlJX+XvenapqkpHR0cshtJdjNca3XbijWtvypEyMflbo1carNP75Z7p58KF0E51QQmHQtTV1hIKBKJKD19ePG0s8zIyMmKBZqNmrrfU+JmY/C3S+wyWcDmMVeQzhGjfPyUU5Ej55wQ7OxD0SIt1HY3TVb+MnSwgpjogSRJpaWmxOJgZWDUxuXT0wqA7l1xGVicavBcBQQdNw9fWhqooGJ6VHjVmp0XNuuwuGjtdra2tXXTCTExMLg29z8O6nAjRHSBLJKHTGc15+jKMXUJBEEhMTASIqYmaxsrE5NLy922wojEsWZKw2mzdkn02coasVitFRUWx7W7TWJmYXHp6ZLCMSWnUjvVtIp11bDYrqqZSXVVFOBQ657vikwCTkpK6LAMvd9Dd2DSIl8o5F/Fig/EKocb7DSnfeLHA+H/r+9fdpC/T7RiWMRl0XY+lAvTlIHNEXkbEYrWi6zo+n79b74Gu4n8GV+I89PT8xxs2o5GGUfpjjO1syhWGHE98BreJyeWmR0F340aOzz/qq0SKdTU0VcNisTB27FWxydvTzzGWifFa5pcaw9PpaaDf8J46OjpoamoCIvloLpeL5OTkmJfo9Xo5efJkzDBnZWXFVBXOlvVtYnKp6fGS0HjSXmyp5CuBLEuIgkA4FGLX7t34/Of2ss5EfAHw5SR+CdedB4jxOlEU6ejo4K677mLq1Klcf/31fP3rX+fw4cNAJHv/xRdfZPbs2UybNo3p06ezYcMGgJiXZWJyJejRo1ISRQQdGurrCZ0W79G5eNkIgmAsXSJZB7HP1SPfogsCgiiiaxqcrTD4Sw5GMD4qmiQaCoXxettRlFN944Ru22I9kg6hawhE2nohxC8fxVPfJUS+PXLckX+LKYfrhhGIdBuOnNBoTylBRyOSaiGg4/X52LZ1GyebmiguLmHY0CIkixVd09E0NSpkGP1+UYx8jhA51vg8snHjxrFy5Uo6Ojr47LPPOHbsGMOGDaOpqYkdO3bgcrlISUnB4/HEcs66sxzUNQ1dj3ibmhpdYopC9PtBNMYFxBJHjP/0RqddJ9LpXNcRReP6aLE/o1FNEE41P+mSLyhEL3/cuE3Oj+4L+CEgaDoy4EpIRBLEi2uloui6Fu3Tp0eMRsywCJG7JrqU06WIwRKjk+iL3Wy+/NgEHRKdCaT368fRQ0foDAZOJZNG/707SaoCIImgqQpKOAiAhn5KtE5XEYgYDQEBXVPRDG9M0KL/T/R1kTtbjNZMCnrsTkdFQ5cERASCgQ7ee+dttm3dxoD+/Zk6aTLjx49n4MCBZGRkoCsKgixGJ4qILujR7xcxjIbNZmP8+PFs2LAhdqyNjY2Ew2EqKys5ceIEPp8Pi8XCsGHDyM3NPacEzKk4p4YSDhmmF13TkC0WjLmOKKJrICBFjid6fEaaCVySW+u80XQdJayCLiBJApoSRpZAUQIEOv3UVVfh9XXidLgYNKQAp8OBLkZbm4mR8yGIEroeaTZicv5032DpOlJ0ImmKGptUF5NIMFhF19To01mls6OTlqZmfO1eABJdLlzJKQiSFBG2U1XQ9Yj3d7qSwzm+y26zk5qSgizL2Oz2aHuwmI8T+/PLkAQBJRyOeVk6oKla3I6hQFhRkWQ5EvsRRfRwmLCixKRkFF0lGA6CICAJIiICoiAgIaDrGggiGhGvU5AknA4H2VlZ1NXVcfjwIT7avJncnBxmzryOadOmUVhYQFJyMg6HDYfTicVmjaldGqt4h8PBlClTePbZZ/H5fPj9fj788EPmzZvH5s2bqaurw+uNnPOpU6eSmpraJSRwpvNpGLOwEqa5qYn648dp8bRwsvkkoCNJMqmpqWRkZNAvLYP0tHQkWUYQI+MUJCnitPQWSxWPHjXEIY1gwE/LySYOHz7IofKDbPjgfU40NJGSks6cebdRWFRIQWEhSclu7E4HgiggSTqidOV02/5W6LbBkmWZBGfCqSeEEOeOXCSE6BNWB5RwmJaTJynbvZuXnn+BzZu3YLPaGD/+am6ddzuFw4ZRUFiIKykJ6TyOQxCESHNLMfKU7+zoOK9W4rIs09bWRm1NDbl5uTGPyNvejigI2OwO/B2RPoqiKKJpGu2trYTCYRxOJ3a7HS0YROgI0trWhtudjBZtvqp0BhCiE1oRVQS7BZc7CRGQLTKy1UJWcjbHjlVysvwgBw6V8+qS15gxcyb5gwZRPGoUw4YOIyc3J6I7b7MhytbIclrXycjIYNy4cTQ0NNDa2sru3bvZvXs3Bw8exOv1IooiOTk53HLLLTHtJ+Pcnel8KoqCruu0elp5b817fPe738Pn80eva6QpaSikkJaawoL77uerT/wLWRkZWB32iEHtxZs4giigKSrhUIhDhw/zhz/8ltUr3ooWTIiRh4p6jG2l29HQmTdvHg898jBXTxiP3emIxhiv9Cj6Pj2KYRknPTkl+ZLq/ei6zooVK1n6xhvsLSujpcUT8baCQdZv3MTOvfsQBJFx48ax8OGHmT5jBok93LnSNI1gMEhnRwfBYKRBwPls12uaxq5du/jGN75JosuFoqhYZIlAIICugyRL6DrYbXY0XUPTIsXWxm6bJEmR5ZOmEwwGsNsdiFFvNhQMIkbXqboIoiwjyDKiLHHS46HF00JTi4Yuga6JqDq0+vxs2foxmzdvAVXD7XIxIDeXSddcy4zZNzJmwgQcTieqqtKvXz+uvfZaSktLaWtro6Ghgd///vfs3buXzs5OnE4ngwYNIjm56/U+fVkY73nt2bOb1197nWXLlhIIBMjJzaakuIS0fv0Ih4NsL/2E+vp6XnnlFQ7s3c/jjz/BlOlTcSUlIVss3fKOrwS6roOu86dn/8jy5W9ScewIjsREbpp9A8XFoxjQfxBHj1ay7v0P+PTTHby7bi2HKytYtGgRd99zN5qmYbFKptG6QHo0yxVFiQaRL95tFflMIxkTOjo6+O1vfsPqVaupq6vFmeBk3h23MWniRNxuNx6Ph+3bd/DmsjfZsHED9Q31tLW3cecddyIKQmRSA4gionR2AxTpmGNBkmV0XSMUCp/XuDRdp7MzQHVNTWzSqopCQkICVqsVn89HOKxisVpQonr0BkKXRace+yOyHIwsSUUdiMZDND0SfNcEAU0Am5a0iQAAIABJREFUVdei9ZACejQRFgFaPa2gaqBptHk8NNbXc+zwESqP1/GvWVkMHTYMq9WKqqpce+21DB48mIqKCsLhMNu3bycYDMaa244ePRqn0xkzWGfL0VIUBY/Hw5Ilf2HZm8voDAa4ec7NzJs3j9GjR5OQmICqKNTU1PLJ9k9Y88677Ny5k9/85imGFBWQkJh4zrjjFUPXCQU72fnpp7z6ymKaW5oZO348Cxc+yFVjSkhOcSPLFq6ZHGLa9dexb98+3vjLGxw9cpRXX3mFMWNKGDR4MLJs+3uvLblgemCwhP/H3nvHR1Xn+//Pc870mcykTArpJCEQAiH0XsUCIoKsFdC1rHtXt91Vd9dd7+7+7t29W+/qfnctu/a1LCoKiAoiTaUFFAIESCihJISQ3iaZcsrvj8kZJrGQUGRw83o8IhMzc9qcz/u8y+v9encOClU5fOgwnrY2XC7XebvxemleFEU8Hg/7Svby+muv09TUyIDcXO648w7Gjh1LaloqRqMJv9/PlGnTGTQwj+XLl3P48BGeefoZcnMGkD9kCFrnts52XwQrhUHGt4bWqc5wLscf/NdkMmG320Iig3pVTRAE/P6gUVZNnX2IdMoyC8GkuoSG2WAI5eFEQUDUQFMUjJIBq9WKaDFjctiIdbupb6inqrqa2ro6/AE/qgY2swVJFPH7/GiKAlpQrdUdF0dKcgoDB+Rw5exriY6ODp5/5/eWnp7O5MmT2bdvH9XV1Xg6qR2iKOJ2u5kyZQoWi+ULvc9wEur777/PBx98gKIo/Md3/oN58+aSkZGB3+/H4/EQ5XQyceJE8vPzGTggl9//+nfs2rWTf774It+5/37SMzKIRIuldRr+l156kerTpxg6rIAf/PD7TJgwgYAc4OChQzQ1NRETE8Pg/MEMzBtIVnYWv/n1/1JadpAXX3iR+797P/2SLUiSIaJD30hHjw1WcPEFF1RTY2NIYfN8U+/6QggEAtTV1bJi+XLq6urIy8vjoZ88xNTp0+jo6KCqupq29nYcdjvJKal873vfY1BeHn957DFOnqzkzbfeIrN/f5wuV6f+9tmOK9hDqI+211TtjPXpBQQBoqNdDBs2jJEjRuAP+HFGOVFUhY6ODvw+H5rWyV3StcHDmPKqpiIK4LDbMBtNSKIYLGho4G3vwGa1Eh0TjSXKQeaALIYOK+DAvgO8sXQpS5Ysob6unkBAxu2Kpr2tDRAQjWZiY2PIyxvElClTmDN3LrkDB+Lz+ZGMplC+SZIknE4nU6ZMYcOGDaEJzRCsImZmZjJixAiMxi8fsS7LMh6Ph9///vecPHmSqdOmsvj2RSQnJ1NRUcHGjRsp2lZE3uA8pkyZSk52NpMnT0F5UOHBBx/ghRdeYPTYsZ3j3COPlCrLAQ4eKmP9unVowJVXzaSgoABPRwcbPtzI//t/f6X8aDlDhxbw/e9/jxHDhjFu/DhuufUWfvHIL3jl1VeZMnUqsXEJmCyWCDTJlw96fHfYbDaysrLYuFHEbrdfMJKk3tcWHJe0jaee+juZ6an84r9+zriJE/C0t7N02Vs8/eyzHDp0iOEjhvPQjx5i+qRpzJo1i9qa0/zpT3/i7RUruPrqqxk9ejRmi0XPfX8xBIH6hgbKy8uD3CDpHJn7msaoUSP5xS9+wbDCwqCXFNZTqCoKBskcrECKYrDhWlc4FQRUTUURVBRD0HCrmoqmKYiagKFz8GYo2U2Q6lE4cgTbiopQAjIBXwCTJNJ4uhZVVbFarYwePZpv3n0X02ZMJyrahSCKBFQZk9WMIASDTZ2ioI8Vy8zMpKioKKQ6YTAEK3o9mUgU3kOZlJTEdXOvI7FfP07X1vDTn/6M9evXIysBJMnAgNzX+dOf/sSE0eOYNGUKU6dN5ePNmyg/epQ2jyfotUcYWtpa2LnrU6qrTzF4yBDGjx+P0WzmlX/9i5///BH8iowgwOYtm9m7dw9//OMfuPaaWYwYOYKBg3LZu6ckxEu78LX1fy/0MKLWiHJaycsfgNfnxev3IopBj0v/e8/IBJ9Fl748TUPVVNIyMnAnJCBKEg0NDTz/3POU7S/F1+Flb/EefvWLX7Fz5068Xi9jxo1jaMEwahvq+eTTT2lr93SSJb90r4CIOyGRnNyBQVKmJqBy5kfrJKieDbKmIRnN2KKciJIhSB4UJATRgCBIiAZTkMrQSRjVIPh7ZzVUEEQkJIyyhknWsKgiNs2IRZMwqCJGRcSgiggKqIoASJw+XcOevSU0NreAKBId52bRN7/JXx7/GytXreLxf/yDa66dQ3ScG4PRhGQwYjAGjZXuJetTYAwGA8nJyUyePDnUJyiKIpmZmdxwww2fm7PqDo/Hw9tvv01rayspKSlk988i0OHnrTfeYu+ePQR8fjRZQ/HLHNxfxpKX/0VFRSUmi5lJU6cSUBR2Fe+isbGhp7fNV4qa0zXs2rUbFYGMzEySEvvR1tJG2YEyFEUBWUWTVWSfjK/Dx6aPNtPU1ILdHkVKShqyorD6/bXU1ddHYsR7WaHHHlZ7extHjpSiKDKnqqrweb3d3qHSmQHu8c7D81cNDQ0cPnIEBIGBeYOIcjmpqqri9TfeoPRAKR3tHQgCtLW0crS8nKVvvUlG/0wSk5IYNWY0Gz7ciKqpCKKIIJ59kWmAI8pJQmISqgaaIHYef7gNP/u5aBoIYpAeIUoGNFU7Y8hDxO0wyjN8xvUL8p+7VV0736IJQQKpoAqgKAiSiNFoZviIkURFuUhPTyc3N5esrCySEhODCfLwsErfDnR5uocLEFosFqZNm8Zf//pXDhw4gMViobCwkJEjR561cqp7anV1dciyTEZGBmmpaQiaQEX5cbyt7aBoQXa/KKIKGgcPlNHU2IQ7zo3FbkPRNDq8XgIBOSLJ7v6ATH1jEwgi0TFxSAYjmiZgMVlACdLgBUHAbDSDCseOHMPb7iMmJpopU6eyfMXbnKquxtcDNZA+fDl6bLBUTaW9owNVValvaEBRu7WSnKOHpTcMt7a2smXLFkRRYvz48VisFk6dOsX+/fvxeDyhUrqiqHh9PrZu3YLXez9msznUR+d0uXpFtxAEIbS4z7SwnOty0dtoOIdtfPn7BSHIUVdVFQEBlyuaO++8q4sx6T4Moyd70BvZVVUlMTGRhQsXdvl7Txvc9XFp4fMdUTXiExKC5FjoJNQqGA3GYIdCZxipzywEPiNJHSlwOBykpaUhiCKtra34/QGiooKzFyVRQhSC/DpZljGZTAwbNgy73U4gILNz5y4kSSI1Le2cmuv70BU9LrJGR0czctSoYDI7FItfmGehpmlERUUxevRoTCYjVVUnkQMyUVFRDB48GJcrGoNBQlU1VEUFDVJT0zCbzTQ1NVFSUhJq7O0NNSHSB5R2h950ri9w3UDontI50TJ0Y9Hts/q16ck2DQYDGRkZGAwGjhw5wvHjx7FYLcyYPoP+/ftjNplD29TQSEhIxGy2EJBl6urqAEKDPCIR0dHR5ObmAlBZWcnJkycxGo0MHz6cuLg4YmJisNlsOBwOcnNzufHGG4mNjaWmpobi4mIkSWLmzJnExsZe4jO5/NFjgyVJIq4oB3a79ZyqaZ8HQQhSJSRJIiYmhqFDh2I0Gtm8ZQtNzU0kJiZy2223cuedt3cm+oPJcZfLxUMPPURUVBSnTp2ioqIimEvgzCDPsy207saqNwv+Uhg53Xjohjl8OKvJZDpnuR/9OujDP/Vt94ZEa7FYmDx5MmazmdLSUlauXIkckBk1ahQ/+s8fkT8kP7T9eHc83/jGN0hNSaGttY0PPvgAVVWZPHkyiYmJvT7+rwJOp5MJEyaQkpJCeXk5JSUlGI1GJk2axI9//GPuv/9+7r33XubMmcNvf/tbCgoKMJlM7N27l+PHj18yNY+vI3ocEgYCMg0NjciyTEpKCkbThXka6h6DxWKhf//+pKWnU1y8m0OHDpOWmkZCfAK33XYbOTkD8HZ4cTgc5OQEczYGg4GSkhIqKyuJj49nUCchsqc3h75YezpKPNSrqH12uvPF9tbCJ0jrx6D/+Hy+c/JOum8Tulb8eno+giBgtVq56qqreO+999i8eQsfffQRU6ZMYdy4cTz9zLO0tDSjyAp2u53UtDQqKit46qmn2Lt3LyaTifj4+Ij1sIxGI9nZ2cyfP59//etfvP7666SmpnLttddy4403Issyfr8fRVFISEhAlmU2b97Myy+/jNls5t577+2MHvp6Cc8XPTZYiizj8/uQZYV2j4dAQL4gHfXh05LT09OZdc01PP/Cczz22F8wm0yMGTuG/MH5ZGRkIEkSRqMJARGfL8C2bdtYvnw5siwza9YshgwZgtFo7LLNi4HuBu6r0gYLNyDhUsd6Av1c2qW+qC+wN1BVFYPBwI033sihQ4fYs2cPv/vdbwEYOnQo6enpIbpHe1sbJyorWbJkCe+88w4ej4c777yTwsLCiB3vrg8cWbhwIZs2beLo0aM88cQTmM1mBgwYgNPpxOFw4PF4OHLkCMXFxTz//POcOHGCQYMGMX/+fOLi4vqEDy8AetX8rHsvHR0dF6yaI4oiiqIgSRIul4tbbrmZLVs2s2fPXv74p//jjjsWM2niJOIT4gFoaW6moaGJTz/dxfPPP09ZWRk5OTksXrz4gvLDeoNwb+erhB4Gnzp1CpfLRVRU1CXxUgwGA4qiMHjwYG655Rbq6+ooLS3l97/7HVfMnMnEiROJi4vl+IkTnDh+gqJt2yjasYP2jg4KCwu59957SU5OjtiQSdM0TCYT+fn53HHHHbzwwgscPnyY//3f/2XIkCEkJSWRmppKeXk5Bw8epKysjKamJgYOHMjixYsZNGhQj/OBffhy9CIkDBDwB1BVDX/AD2jdLNa53Wx6WKJpGlarldTUNBYtWsif//wYW7duo7S0lHu/9S1mzZ6FKAqsW7ee91d/wK5dxWiaRlZWFosXL2bo0KGfacj9KhZAdy/rq1x0mqYRCARYvXo1BQUFPWKlX6zjMBqNOJ1O5s+fj8Pu4L9/+UtK9pWwZ+8elr7xBtHR0ezbvw+/34/ZbMbpiuaKGVfw/R98n6ysrIgPlxRFQVEUFi9ejMPh4IUXXuDAgQOUlpbi8/lCHDaLJVg9HDZsGN/73ve48sorgTPFjT6cH3oeEmoirR0yfpVOYiWcoTIEiZjnarTC8yZ2u5158xZgt0fx97//nT179vD008/wxhtvIcsyNTU1eL1erFYrN910E4sXL2bIkCGhkvHZROZ0hHtEvfGQzrDOBURBxG6xkhjrxmoyowSC7S6CJHXjP1146IvDZDJx6623BjW9zOaLsKezozsRdfa1s8nPH8zT//gHH6xdS01NDScqK5AkAzFuN1fOnMmixYsZPnw4DocjZGQj1cPSx7rpr+fPn8+0adOorq5mzZo1LF26lPr6etxuN7fccgtXX301/fr1C3m8fUn3C4ceGiwBSTJhttg720m0TmG58Hecu4cV/i+I2Gw2pk+fQV7eYA4dOsSpU6dYt24dPp+Pa665hkGDBpGWlsagQYNISEjAarV+JgneEyiK0kUtoncHHvxHDgSwmIPGStS1cM/aF3T+0I9ZD6XD/99Xje7X3mKxkJWdzY8eeIC777mH4ydO0FBfj8VqJTU1lX79+uGOi8N2iUL43qJ7QcVms2EymYiOjiY1NZV58+bh9XoxGo243W7i4uK6VFovN/pMJKNXOSyLxYKiBmV9g8rFF+epoS9Cl8tFTk4Osiwzbtw4NE0jLi6OhISELpN7wqcx9wZ6Gwqc+2IXEDhdXY0cCHT2i331idVIXAyiKNIvOZl+yckMysvrUnnsbRUyEqFTcmw2GwkJCV3G3un31eV8fpGKXhksfTT7xU4wh4dq+o0xdOhQ4ExLybl4VN0RbrDOdTuSpI/Fagu25HwF3tXlgM/L7X1dFrCed9UflPp9FD7Mti8EvDjouab7V3TDhYc6+utAIBAyLOGkSb2tI/y9vdmPTgs4l6ehpurTkTVa21qDMjFfIhj474TwnFYgEAi9/iIe2+WK8PMzGAyh3tiLTav5d0av4pdwr+piurzd+TgGg+Fz96XfJOfrYfV0zHu4t6BqKhrBKp1BMmDqTBwHR2z9eyOckPp5CfWvg7HSz0EfJBI+Pq0PFw+9HlV/KfBlN/j53vy9+bxurELXQtMQJRGLxYrd4UDsCwk/g6+DcfoyfN3PL9LQR709Rxgkibi4OGJjYlA1BZ/P92/vWfWhDxcbfYH2WdGVjApBB8poNNIvKRGLyYS3vYPmxibUkJJoL3ehERS+0n8iThGqD32IDPQZrC+DJnYakaCwXzC53zm8QvXT0tKIp6UJUVYwdCqwhuxO5yZC06u/cB981liF9glBYUT1LBvpQx/+PdBnsHqBYCuMPzgWLOCnrq4Wn9eLLAdQZflzU1c91Du4wEfahz58PdFnsHoJVdWCcmAa+AOB4LQdOqWMhaBue69w1giwz5j1oQ86+pLuvUSwbB3k2bjj3MFZjaqGKp9R7hR6Hb11byQn7Pc+g9WHPuj4tzVY4VLDgiDg8/nw92BIgKZpCCKhXjGxk+bg83mDfYmGc3BahTOtRaqqEczb924YRqShezdCOC1GJ1ZezpSA7ucTjvAG/Mv5HCMR/7YhYXg/m9ls5ujRo9TX15/lM52E2c7JzUaTEaPBiMVixma3oSpK5yCLXh0JqioTkL1oyAiCgqopwebyLmoYlw9CMxk7Cbm62GD31pWvA/Rui/D5mrpOWR8uPP5tPazwJ5/f7yc1NZWYmJizfCb4o3bmrRITEpk2YwYBr5/o6GgknXnfy7UoCGAwgKrKwTFhogTCucv1RAL0NhVd6yy8Sf1y96506Hpk+sQgQRBCr78u7UeRhsvGYAWfWrqbrd/wn2cZenaT6E94XWLY4XD0UESu083v1DF3REVxvOYoHo8HVVUQDT0R0OsaTiiqjCwH5acNBhMGQeBc5jxGEvQeTb/fT1tbGy0tLUiShNPpxGAwYrfbLrM2lnBvN2iM29vbaWlppaGhnlOnTmG3O8jKziLK4cBisSDqT7jQ5y/P7zKSEHEGS1W1UOVNURV8Pi8tLc0cPFiGz+/DZrOS0i8Vhz0KV0wUJpMURicQQZMA8awETv2J+Hljs85Av8m6Gka96fnY8RMsW76MlMRk2to8SJLhM205ugwPGp3yMxoaGqqq0NHRTktLC8dPnKDyZBXt7e0kxCeQlpaGOy6W2Ng4jHofpSASHDMfeQjvsQx6VjIdHa2cOFHByapTlB4oo7S0FAGJYYWF9OvXj4yMNHJysrDZrKHvqqumWuQQaDVNRdOUztfQ2trGkfKjlOwr4WDZYQ4eLONERQUOh4MJEyaQk53N8MJhZGZkYLfZgooeqoogBaeC9+HcEVEGS9OCeY92TwcaUFNzmpKSPaxZ8z4r31lJe7uHuLhYCgtGMnBALvNumEXuwAzsdjMCAppqRNMsiIKp8+Y4+6gvPWT5/Dd0ZX0GvToBSTKgKhonKk7S0t5Boiggo6FqGlK3tJOGhqrI6LkqQYRAwEdDfR179u5h1ar3+fCjbZSWVSAIGi6Xg/z8QQwbOphFi28lJysDi9WC0WhFkCxEyiLWoRt8v9/fqe0u09razL79xfz+D3+ieNce2j0dSJIJNAP/fGkJaDBtxiR+/OMfMLywEKvNhigKofzgGXSfxH1poGkKAb8PTVNp83hYv/5Dnn7ueTZv2YYkSrhiYrA5HNQ0NvHJ3x7H7/czc8Z0vn3P3UyeOB5nlAPZ78dgtnYWZSLrO7ycEFEGSxA0BFHGalPYvGUbf/zjY+z8dBderx9VERElKw21ftav/ZgP12/g7beXcs+3FrFo8c3ExMQE8yOhyszFSeqekXMWMBlMaBrU1NRQXX0KSZKCeRuDxJmbUkNDQVUVNFXB29HBiRMn+N3//p6i7Ttoa2vFYLIydswo4txx7Nmzi93FxezdXczq1au5/Y7bWLRoEampGRflfC4E9LBa0zSqq0/zzLP/4JVXX6KpsZmMjAzmz7uBkSNHo8gan3yyi2XL3ubTTz7h4Z/+lN//4fcUFBTgsDu65nwiKicvIEoSiqzy+ONP8K8lr1NX30hiYhL3fe97jBk7Grc7Ho/Hw97du3nib4+zvWgbx8uPcMP1c3nkZw9jNBhB7DNU54uIMljB0eU+1q5/l0cffYLSA0eIiY1h/rxvkJGeTUZaf/z+AMePHWHXriJ27trOc8+9zOmaGu6665tkZAxAkRUEUUYSDEHJ4gt8fPqiUhQFo9mEIEJ7ezvNLS1BgymFGysADUFU0OQAqqpytPwo//3fv2ZP8V4y+/fn6quvZvz4CUQ5XVgsFppbWthbUsKmzZt49913ee6FV7HYo1l420IS3PEX9HwuFPSpOfX19bz44oss+ddrBAIBFi9ezI03foPMjP44nTGgCYwYMZI5c+aw+v13WfnOcn72s5/z//3qV4wYOQKXyxWhiWqB1rY2tmzezJIlr+Pz+bniiiv45l13kTc4H5vDHuTjaRqpycnkZGXx0Yb1rFyxgvdWrWLqlCmMHzcWS4/ym334MkSEwdJDMr/fz+HDR/nLo//g+LFTDMkv4I7bb2fmFVdhtzv1N6PI47hm1gw+3rSRJ594guXL3sNmjeKH//kAZqPpoj2c9UoXdPKwBAFRlLBYrVgsls50Vzd5GUEDTUGQoPZ0DevWrWfH9k/JGzSYhx78MYUjhhMb4yLg7wDAYMokf8hgJk+dQkpaBs88+xwrVq4mb9AQpk+bEtLdipSFrV8TVVUpKiri/fffx+/3M+/6efzgB98n3p2ApkFbWxsGg4m4uFgSExNJSIxBUX088cST/N//Pcqvf/PfDBs2LBgSRsaphaCqGo1NzTz7/As0NDUxavQY7rv/PgqGDaO5qZnj5eU0NjWRkJCAOy6OEcML6Z+eRnVVFavfe49nn3ue1LQ0MvtnYZQiYsldtrjkVy9cj72pqZl3313LJ9vLmDlzBvff/21GjBxBIOCj4uQRysvLUWSZrMxscrJzuWH+fE5XV/P000+zYvl7zJ27gJzsgZhMEhdL8DFcqM1ms2EwGklJSSE3NxdVUZA+d1imgKZolJUeZMXyt4lyRHH77XcwfMRITCYjx44e48D+3Xja28kekEt6ZhYpKSk88OADlOwrZXvRdl599V8MG5pPQkJCKPyKFFVLVVXxeDw8+eSTHDt2jCtmXsEPf/ifuOPiqauv59NPdrJ1axEpKSkMyBnImLGjSUiI5/rr57Ju3Tq279jOtq3byB2Qi9VmDRqtCJIV8/r97D9wkO3bPyUuLp7bbruNgQMH0tLUxEv/fJEdn3xCU2MT7ng3U6dO45abbiIhIZ7r5s5l48aNfLB2PbfcupB+KWkYLZZLfTqXNS65wYIzeaGW5lY2rPsYVbVxy02LGDN6Am2eFtZtWM3fHv8bBw+VIcsyQ/OH8ubry3E5o7jyyqvYsnkLO3Z8wtsr3uGee5KJj7detCpySOWUoEeoyjLx8fEkJiWGmM1dPDxNRBRNiJLInj0HqKioYuyYsVx1zTWYzWaKdxfzpz/+ns2bNuLzK2Rm9efmW27l3m9/m+jYOBbMn0/Z/gMcLS/n1KlTuN3uUKEgErg+etLd4/Fw8uRJYmNjmT1rNkmJKZw8eZL/+q9H+Oijj2lpaQnNBfjNb37DDTfMIzUllTnXzubvJyvZvHkLM6+cSVb/LARRQFEVJFGKCKPV2tpK8e491NY3MHnKVEaNGk0gEODVV17hL489ht/vQxBAlhWKtmzFHRvL1VcFR30lJPaj+nQdrZ4O5L7ZhOeNiHhEq6qKz+fj8JHDHCjbR2qKm5i4GBRVobLyBH957K/sK9lPR7sHb4eXwwcP89STT9DS2kbuwDy+8Y2bkWWFDRs+pLGpCVVTL8rjWV+cgUCAgCzj9XpRNY3KykqOHT0WHELxGQhoioGqylqKi0swmy3MunY2FrORNk8LK1cuZ9PWTbT5/Pg1hWMnKnj99ddZsuQ1JATGjRrJoAHZ1FRXU1xcjKIon2l7udTo6Ojggw8+oLW1ldGjR1NYOBxNg6qqUxw4UEpraysAXq+XlpYWli5dSkXFCZyuKK6fN4/Y2DhqamqorKhEI2iIJTFyyv8nT1bx4Ucfo6oa7oQEzBYLgUCAyooK/D4vAZ+fgE/GIEl4O9rZunUTbW2tJCenMHv2tfj9AYr37KG1zXOpT+WyxyU3WLpX0tHRQWVlJY2NtaRmxJGQ4MAf8FC0fRv795fiafPibQc5INLa2s7KlSuprq7GaDDhjk9AEA34fP5OtYTOuYkXAXpFDCA5ORmbzRZs0dEHZn72DNE0kY52P40NTRgMZux2O6qmUd9Qx/4D+2j1eFAFASQDsqJw6nQ1Rdu20drcRJTditkoIgd8+HzeUCgYCd4VnPn+GhsbgeDMPofDjqqqlJUdpKOjI2wElh4+tiLLMgbJQHJyMhaLhda2Vmpra4Eg/+4MOfjSQx98oiHQLzkFBAGfzx8ceaeowTHCAsgBmWD1OHg/WCwWsrOzEEWJvEGDsPaFg+eNS26wwqcu+zu5Lq5oG5JRQJZ9eDxtQflhrfNwVRFVhbr6elpb29A6lQ6Uzqk1giR2EdDryb7Dfz8b9EVkMpmIT0jAbLViNJsxWcwE5ACKIvMZsyWA1W7FbLUQUAK0t3eAIOD1+Whuae0U7DMgaCIaIgIiVqsFDQVF86OiIIpnFk6k9aoZDAYGDhyIKIo0NTXR0NCIIEBqagomkymUmNcnQ6empmG3RyHLKocOHaGluQWHw0lycipoIpJoIJIy77ExMQwZnI8IHDt6FL/Pj9PpJDk5BYvVAaIBRRPQNAmTycbgwUOxWm20tDSzdevWTn6dE7O5J50UffgyXHKDpVfdbDYbAwYMwO12423309HuQ9NEUlJScbvjMJuNGAwgGcBoMjAwL4+k5CSElEeEAAAgAElEQVR8AR8VJytAAHuUA1GSevR0DjeUXQZLfAnCh2SaTCb69euHzeGgzdtBXUMDgiQSkOXue0ITVGLd0Qwdlo8/4KNox3b8gQBmi5XM/tm4XLGYDCZERCwmC1lZWUydNhWr3UpzazOeDg9Wux23Oz4iFQBMJhNjx47F4XCwZ88e9u0rwWg0MnBgLgMHDiQ6OhqLxYLJZCY6Oporr7yKuDg3TU0tbPp4Mw0NjSQl9iMtLR2DwYgoGoiktiRXtIuhQwZjsVg4Xn6UhoZG7A4n189fwJhx40lKTsPpisMd349x4yYyZMgwREGiuHg369evw263YLebEft4WOeNS55018Mbo9FIZmYm2dnZfPzxJk6cqGDQoDzGjh3L9OnT2bhxIx6PB03TSElJYfHixURFRVFWVsayZcswGg1ceeWVZ21gPh+EGzhFUTh58iRNzU2kpKQQGxeLz+cL0hu6fUZRZCwWCw6HA5/Px86dO6mrqyM7O5uHH/4pLpeL999/n9raWrKzM/nWt+7h5ptvQRQFli5dzr59ZQwdOpQxY8aE+u8iyWjpyfSpU6eybNkyli5dypw5c+jXrx8/+9nPePnllzlw4AAGg4Hp06czY8YMHA4Hp0+fZunSpYDA/PnzSUtLJ1KMVDhMJiP9+vXDHRfH3pISdhfvZuDAXHIG5PDSKy9TUrKPVe+uol9CEosXL8ThsNPc3MzmTZs5fbqaK6+8kuHDh2O19oWE54tLbrDCYbVaGTx4MHv27OHZZ58lNjaWESNG8Mgjj3DnnXeybds23G43hYWFZGdn4/V6ee+99zhw4ADx8fGMGTMGq9V6UReznnj3er3U1tbi9/uprKzk4MGDTJw48TMeUDh3Ky8vj7S0NA4fPsyjjz7KQw89REpKMj//+U9ZtPhmdu3aRf7goeTlDcbn83HkyFHeenMlqirQv382NpsttL1IMliapiFJEldffTU7d+6kqqqKdevWMW3aNAYMGMBPfvITOjo6kCQp1GReUVHB8uXLOXz4MGPHjiU3NzdiaBrdYTKZGTJkKN+5/34e/+tfWfrGG0THuJg4YSKxcbEMHTqEnKxsRC14D9fU1PDiP//J2ytXkpyczKJFi7BarZf6NL4W6LXBMnwuz+j8oIdksbGxLFy4kPLycvbv38+TTz7J/fffT35+PmlpaeTl5YU6/ltbW1m5ciVvv/02giBwzTXXkJubG2Ic93S/0HNtpnAtJ6PRiNPpxGQyYTabiYqK+sLP6YNgR4wYwcKFC/nb3/7Ghg0bcDgcLFhwA0OGDGZw3kAy0tMwm63U1TXyySfreOvNFVRX1zB23Fjmz78BhyOqy/WKBKOle52iKDJ69GiuvfZaXn/9dX77299y8OBBCgsLyc3NDdEx6uvr2bRpE++88w7btm0jKSmJRYsWkZycfKlP5QshCiJOl5N5867no40bKS0t5Q+/+wMjRozgiplXMGjQIDo8HdTV1NHc3MS2om2sWfM+NpuVO+64gzFjxmCxmCPi+7rc0SvrYzQasdvtPc759ATho+ltNhuFhYXceeed/Pa3v2XLli00NzczYcIE5syZg8FgwO/3U1JSwvr163nvvfeor68nPz+fb3zjG1it1rBev7PvN9wb6kluqLuSZCAQAPSWIjn0uvtn9GNKSEhg7ty5eDwennnmGd544w0OHTrIiBGF9OsXZISnpKSycuUqduz4lKqqanKyc1l4222MGDEiYpO2+vWIi4tjzpw5eDweli1bxnPPPUdycjJ5eXlkZ2eTlJTEli1b2LFjB1VVVURHR3PvvfcydepUbDZbxBjhz0AAs8lIRnoaP/jhD3j55VfYsnkzK1asYNu2bRQWFtLc1ELt6Vrq6utp97Thdsdy1113cu21c7Db7ReNyPzvhl4ZLJPJhMVi6TKe+0JPXjYajVx33XWUlpby4osvsnnzZnbt2sXatWsxm834/X4OHDhAW1sbTqeTSZMm8YMf/IBRo0aFWkR6IxDXm+MPEUPDDBRAY2MjtbW1IeP0RfsQBIH09HS+/e1vo6oqy5YtY+vWbXz44YeomobREJTGkSSJmJhYRo0ayWOPPUZ6ehrmMK2uSFrU4Q8vURQZMmQISUlJ5OTksGrVKvbs2UNJSQmBQCCUf3O5XIwcOZK5c+dyyy23hLSzIhZacPCICoyfMIFBeXls2LCB1197naPlR9heVBQUddREjEYjhcML+e7932H8hPHYbNZOKkzk0DQuZ/TKYHk8Hurr60OexcX4AgRBQJZl7rnnHvLy8ti6dSu5ubmsXbuW7du309raitlsZvz48SxcuJAZM2aEEu3hXtLFfloLghDyNqOjo0lMTPzc/YYvZr0NyeFw8N3vfpfrrruOV155le3bt3P48DFAJSHBzejRo5g5cyYzZkzHYBARRQUEBejeWB0ZEEWRQCAQuv4xMTHMnz+fuXPnsn//fj788ENqa2uRJImoqCjmzp1Lenp6KFS2WCydMx8j79yCCMoKaZqGwSDhcrmYc+21zJo1C7TgQ9LT6sEgGjCbzZhMBsxmE0aTkeDAEglNU/uqhBcAPTZY3cv/4T2AFxK6h+R0Opk+fTpjxozBbDYzefJkDh48GBS5S0jA6XSSmppKVFQURqOxy0CJi4Vw3lb3xLpeOfyiHF844RPAbreTkZHB9773XerqGmhuagkuXquZhAQ3TmcUrugoFEVGCBFhI4f9HY7gQjaEigFCpxorQEFBATk5OSHyqMFgwOVyYTKZQtczXEAxMo1WkPQqiSKaqmE0GDAaDEGPUQBFlnE6ohAQOxn6KpqmIolicC5uhJF9L2ecUwb9i0KfCwFdF1sfDuF0BlUa4uLiyMzMRNM0TCZTKIwID7fCF0xPbgy1l71d4TecbqB0j7Cjo+MLw8FwQx8uGhgVFUVUVBQpKSkEeUd6/kunT2gIkr6/yOEldUf3PKDuLenfZfeCRHcPNNInzIiC0EkLE9HCRCEFOteCJCEYBAStU2lCC35Xgtj9u78UR//1Qq88LB3hN+SFxufRAnSYzebQ688zDr3RCA+v+Onb6k0hQRAEkpKSMJvNofaTL7se3f/22feG7/uMCOGZ/sTIv9vDv5OefheRaqTCIQgCktDZ1P45x2uQut+LXeWdL4dzvFzQYzdJz8HAmXDw6wCdQ9STc9IXpG5Ua2pqCAQCtLW10draehH4UQLdb/4+XDoIX/DTh68OPTZYuidis9m+NgZLD1lkWaatrY2Ojo4vfX94SOjz+SgtLaWlpSVkqHpKqehDH/pwbuhxSBhezdFxOScR9dyCXvFcv349iqLQv39/rFYrTU1NyLL8mQZpoLNR209xcTENDQ3k5OSQkpLyuQn5PvShDxcOvTJYgUCAjo6OiE+S9gQ6W93tdmOz2airq2P58uXYbDbMZjOtra0hg9X9c/q/euI/NTWV9PT0y9qA96EPlwN6bLB04Tq/3/+1WJSqqmI2m5kyZQrFxcW0t7cDhMrz+nvOFuIZDAauuuoq0tPTga/PCPY+9CES0WODpcuqwJlw6nL2KERRxG63M3r0aJ5//vnQuelkRp/Ph9lsPit9Q1GUMIG6y/+69KEPkYxeeVjhi/JyDwnhjOHVSYzhLPmQguhZjI+qqqG8nl5xvNyvSx/6EKnoVQ5LrxT6fD7a29uDQ0N7wX2KJOhVvS/zoHTvSTdKsiyHPqNfj+4Gqs9Y9aEPFw+98rD0xenxeGhra+viXVyO6Ik6g9frpbGxkZaWFlwuFzExMZhMpi5N1n1Gqg99+GrQKx6Wpmkh7aegZEYEd9hfAKiqypEjR3j11Vd58MEHWbZsGS2dE55729bThz704fzRq6S7zlsaNmwY0dHRX3vPwu/3s2zZMv7yl78gCAJtbW2MGTMGh8OB2WwOeVnngr7EfB/60Hv0uvnZ7/ezceNGFixYQGpqKibThRWVU1U1pDXVvRUmHLIsd9E3vxDenu456Y3Ue/bs4cMPPwxRHnbv3s3mzZtJS0tDkqRzDodVVcXv93f5fPg5qKraRd1A/3ukht+64Q6ng3RvRP+8AkZ3FYNIVWvQ7wtFUULKIOF8PFmWQ/nc7mod4fJCZ8uZ9uHs6FXzs76AAoFAFwG7C4nuRkP/f4FAIKS5ZDKZQhOYL+R+w29Cn8/HqlWrOHr0aGhheb1elixZQn5+PtOmTTuv/ekqD7Is09raSmVlJW1tbaSnp+NyuVAUBafTGWqqvhjS1BcS4aPH9HPz+XyoqkpVVRU1NTVYrVb69euHwWDAbrcTFRV11qbxSIJunFRVpa6ujrKyMtrb2ykpKaGpqYn+/fuTkZFBcnIyKSkpWK3WEK+vz6O+MOj1KtBlknU54gsN/UmrD3pobm6mtraWffv2cfLkSUwmE0OHDiUxMZGYmBgcDkdIguZCQVEU6urq+PTTT2ltbQ0l2ysrKzl+/Di7du1ixowZ57RtnSHf3NxMTU0NxcXFlJaWUlJSQm1tLQUFBcHxYTYbs2bNIi0tDavVGtGE1HBpH03TaG9vp6qqirVr19LY2MjBgwc5cuQIbrebnJwczGYzo0ePZtKkSbhcri6eZCQi/CGqDx9ZvXo1S5Yswe/3U1tbi8/nw+l04nQ6ycnJ4YorrmDSpEkkJyeHvLI+g3X+6JWHpetUXezwRFVVmpub2bVrF8uXL2f9+vU0Njbi9XpD4n4ul4sJEyZw8803M3LkSJxO5wUxoHpIWlFRwcmTlchygOHDh3PXXXfx4x//hPb2dhobG/H7/ecUDsuyTF1dHWvWrOG5557j0KFDtLe3h7zJffv2oaoqdrudnTt38vDDD5ORkYHdbj/vc7tY0KvFPp8Pv9/P4cOHeeKJJ3jnnXdQVTXkEZ86dYqdO3fS3t7Oxo0baWtrY/r06TidTqxWa8SGvHAmzK2oqOCVV19l+bJlNDQ0EBMbw6hRIzGbLVRWVnLkyBEOHTrMhg0bmDt3Lj/84Q/p3z+rz1hdIPTYYBkkA2aTGUkycOzYMSoqKikoKMBgkAhqOWkExTZ6ZzTCPQfd5T558iRvvPEGL7zwAnV1dRiNRlJSUkhPT0cQBI4cOUJdXR3Lli1j06ZN3Hfffdx5550hZvq5Ug308MTr9fLhhx9SX1+PKzqKceNHcfU1V/Dmm6PZvHkLRUVFlJWVkZ+ff9ZF1t0zqqys5JFHHmHdunUEAgFsNhvDhw8nIyMDm82Gx+OhqqqKffv28fbbb1NUVMTDDz/MggULQt5Ib0QKvwqEixmuWbOGP/7xjxw9dpTCwkJuufUWpk6ZitPpQtEUAv4Azzz9NG+99RaPPPIIEyZM4H/+53/IyMi41KfxxRAEECRaWlv50QMPsnfvHuLiYvnRgz/itltvxWAyYBANqIqGz+fnlVde4cUX/8m7766ioaGJxx//2wWPAv5d0XMPC/B6/Xg8HRiNEoFAoNMr0AjK82uci4RveN4IoL29nRUrVvDiiy8iCAI33ngjs2bNIj4+PqTdfvr0aQ4cOMCKFSvYt28fL730EgMGDGD8+PHYbLYuyfreHoeiKHg8HrZvL8Lra6ewcCgLFlyP2WwkIzONou0GKipOsGbNGgYOHBRq5fky6ATUlpYW1q5dy8cff0x7ezszZsxgwYIFDBkyhOjo6JAxqq+vZ+3atTzxxBPU19fz7rvvMnjwYEaNGtWFwBoJYZQeLgUCAXbv3s1rr71G9elqJk2ezI9/8hP6Z/XHYbdjMBgBUFSFe+79FjkDBvCPp/7Opk2bePvtt7nttttISkqKGCMcDk2Durp6/vzoo+zdu4/klFTu+ObtXHfdbKLjovF6Owj4ZcySBUeck5tvuoW4WDdPP/Mse3aXsHz52yy4YT5OV5/ROl/0IiQEQRQRBBFRlDrDwwtzEHruw+Px8Mknn/DKK6+gaRozZ87k3nvvJSsrC1mW8Xq9ACQmJpKfn09ubi4vvvgiW7du5bXXXiMrK4vk5GQsFkuvw8Nwnatjx46xc+cuvB1+svoPwOfT+GTHbqpP1SDLCrW1dWzcuJGbbrqZ1NSUL92XvqBVVeXo0aO8+uqrNDU1UVBQwH333cfQoUNRVZWDBw8iyzKZmZlkZGRw2223Icsyzz77LLt37+att95i8ODBOByOLkz7SFjgegVt9erVfPrpp8TGxnHXXXczeHA+Hd4O9h8opfrUKVzR0WRmZhLtimb69Ok0NTTy5z//mddee41hw4bhdrsxGo2X+nQ+A1VVaWtvY8P6DYiSxA0LbuC6uXNxRjko3lXMR5s+ovJEFQlxSSy4YQFZWVlcc80samvreOmll1n6xlImTpiAzW5H+ow6aR96g57zsAQBu81GXFxsZy7pwoQk4f17ra2trFq1iurqasaOHctdd91Feno6p0+fpqysjE2bNiGKImPGjKGwsJAxY8YAcOLECdatW8eYMWO44YYbukgp9/Y4mpubWbFiBU1NzQT8sHfPYV54bgllB8vYt68Ej8cDwJEjRzh8+DBJSYlnXWSBQABN09i2bRvl5eVERUVx0003MWTIEBoaGnjmmWfYtm0bsiwzfPhw5syZw9ixY7nvvvvw+/288MILlJSUUFVVxYABAyIqHAwvIqxYsYJAIMD8+fMZO25c0Ii9t4oVK1ZQWlZKvDueMWPHsmDBAvIGDWL27Nns2LGDVatWsXbtWkaOHBnyoiMJfr+fkr0l1NbV4I53M3LkSOLi4jhdXc2fH32M7UVFNDe2EBvj5uTJKn75i//C7Y5j1qxZfLB2LcXFxRw8dIiU1BTM5sgzyJcTet5LKApEx8SQnZ1DefkRLBZLmN74uSOc0+LxeDhw4AApKSk88MAD5OXlUVVVxW9+8xuWL18eCkOjo6O5++67uf/++ykoKGDOnDn8+te/5rXXXmP69OnExcWds/dRVlbG8uXLgzwoDOwuLmXv3kPIso/gNBQJUPB42tm06WPGjBndZQz55+1XVVU8Hg+HDx/G7/dTUFDA4sWLMRqNPPnkkzz++ONAUAd937597Ny5k5/85CfMmzePu+++m71791JSUsLmzZvJycnpwj+71NB10g4cOEBTUxPZ2dlMmDABm9XGrt27+cv/+ysH9u9HVTUqKk6y45NP8XjaeeBHP8LlcjFjxgzWr19PeXk5dXV1EWmw2jxtHD58kOrqKmZeNZOs7KzOh+tqDh06TGtrGwaDEavFyvLly8nOyuL2228nzh3HhPHj2bFjBzt37mL06FE4nY5LfTqXNXremqOCp62dluZmrFYLVqvtgiwY3VjJskx1dTWVlZUkJSURGxtLe3s7W7ZsYdWqVXi93pDBamlp4a233qKlpQW73c7AgQMxGAx4vd5QCNZbGoCmabS1tXHkyBGam5sJBAL0z8hk7nVzuX3x7cybN48JEyYQ707AZLLg9fo5caIyNIBC51R93uRns9lMS0sL5eXliKJIQUEBoihy4sQJiouLQwZIlmUCgQBHjx7lzTffpLW1NcQBC1c/vVBE2QsFRVEoLi7G7/eTm5tLdk4OXp+PrVu30drqwWp10K9fMj6vn4BPprh4Nw0NDSE+VvhkmUhEfX0d+/eXACpTJk/C6XRSW1tLUVER8e4EQMRktuB0OfF6vXz00cc0NzcT5XBQOHwYqqqya9dOWlpaLvWpXPboRdJdo62thePHj6OoMvX19Rekn06vMAUCAWpqajh9+nQXL6KlpSWk/imKYogBXl9fz969e0N5D50xrVerzsWY1tfXU1RUhM/nIykpie/cdy/Tps7AbncQCHhpbfOwY8cOnnnmaQ4dPsSmTVs5dCjobX5Zb6XeNK5pGhaLhYKCAiDoUTY0NIQMkSRJKIqCz+fjyJEjIYZ998JEJMLv93eeB6iKiiCIGCQjSkDB7/PT2tqGKBpA1PD7AtTW1jF40CByc3OJiYmJKAPcHaIgoA9Cra4+hbejA1EQEYADB0qRZRVPoJ39+w8giSJDhuRjt9toaWnh0093IYoiUVFOjMZLXyS53NGru8Tr9eHxePD7/aiqQnC45/khvESvJ5O9Xm/IQNlsNux2e5fJNpIkYbVaaW5u7tKIbDAYzqlCCHQ+BXexe/duADIzM7hi5jTyBueQ2T+ZAblZDC8sYNasq7nyyplIkoFTVdW89957tLe3n5VqoA9+1TSNmpqaUGjrdrtD79HPLTExkeuvvx6n04nP50OW5YgI/z4P+veWlpaGyWSiqupkiIpSUFCAKzoaEGj3dCAIIhaLjX79UkhLS8Pn81JeXk5ra+t5tTpdbMTGxjCscBgms4lPPtlBc0sz7ng3k6dMxWq1YzKaCQRkDAYDKampjB49mqioKOrrG9i8aROCIDBh/PjPzGfsQ+/Ri5Aw6B04ohydZfoLo1aghziSJJGckkJKSgqnT5+mpqYWURTJz89nWGEhDocDg8mEyWzGFR3NTTfdxNVXX43BYAi1gMTHx3cxWmfdd9hPQA6GYq1trcTExDBh4gTi4qIRJRUNGQQVFZnk5ETGjR9PRkYmTlc01dWnQ4TWLzIqmqYRFxdHbm4uXq+Xt956i8bGRlJSUpg7dy7Jycm4XC6sVitOl5NJkyezaNEiLFYLR48epaamBkmSzqmYcFGgX7RO2Gw2Jk+ZgjPahdfvo6GxATkgM3jwIGZdM4vs7Bzi3fH0S0xk4sSJ3H77YuLd8Xg8HtasWUN7e3tEk2MdUQ7GjBtDYr8kjh4r59ChgzjsDubNm8fChQsZMnQoGRnpFBQM5b7vfIcpUyYhSRKHDh+kvqEeu91OTk5WxJ7f5YSe+6iChs1uJS4uFo+nNSw80cmivQ9X9BBOb82Ii40lPiGBoqIdHD9xglGjRpGXN5if/fwRfvf7P3C88jhWm5UZU6fxq1/9CkEQOH78OJs2bcJmszF37lxcLtdZVRRC6004c9SKpjFkWAE33XILoigGt+V0YRCDT31F1TCZjMiKytjxo3ngxz9i//79TBg3hpjY2FB7yhdNf1YUJeQpHj16lI8//pjZs2dz7bXXYrVa2bZ9O0XbtpGRmcHi2xeTnJqKosjs2buH6tPVpKdnMHDgQIAuY8W+cmigDz8OXkcNTRSIiommcPQoPvpwI8uWL2P4sEJcUdE88J/fZ9rUSVScOIHT5WLK5Ek4HA58Pi9bt3zC6tWrgwZv8mQSEhK++vPpAcwWKxnZOUyYOoXV765i40cfMaRgGJnpmTz88E+44/bFHC0vJ7lfEllZ2QgClB4oZcXy5TTU1zF6zGgy+2f2hYQXAL1QHAVRBINBRJLEMA7WuY+T1D0rffqMO97NHXfeScWp0zzx5FOYjBZmz5rFiOEj+dOjf6bN70MyGoh3uQjIMtWnTvHXv/6V1atXk52dzcyZM3veoiN0dRSMJhPjJ0ykcPhwFEXB5XRiNlsRCOYqgpxYAYNBIs4dy3XXX8vMK2fgdNixWixf2q6kG+SZM2dSVlbGc889x+OPP47dbmfChAlcPesaJkyeRFtbG1arDafLSVNzE+vWruO5557DZDYza9Y15Obmhpq+L2nORzvzjWtCZ2HBamXh7bdTVV3FmnUfgKLx0IMPEp+QwMiRwxleWIDBYMBisdDQ0MCePbt56qmnaGpq4uqrrw4Z40iEhoDD4eT2O+9m+7YiVqxYwamqKm5ffAcjR4wgLjYad9xINFWlpiZYOHr00UcpKioiOyeLRx75OYmJCRGdp7tcIP3yl7/8VU/eqGkaZWVlLFmyBK/Xy3XXXcegQYPOm+gXLj8iSQbciYmcrq+jpLOU39bWhtsdR0JiIm63G5fThaCqlO3bx1NPPcWGDRtwOBz8x3/8ByNGjAhpsX9ZiCZ0eyEQTKwajAasFgsOuwOjyYgkiAi6QRbOvFmSJExmE3a7DbPJhCSevT1HN1oxMTEcO3aMQ4cOsWvXLmpqaoiOjkZFQ1U1vJ15naVvvsk/X/ontbW1TJ8xgztuv4OkxMQu7PZLldcSOv+jdb5Q0FA0jejoGKKinJSVlfLJjh3s2l1MRUUFkkFCRaOxqYkPP/qQl15+mSWvvUZzczOzZ8/mO9/5Dunp6ZjN5ojM1amahgLExsZiMVs4cvgwhw4eZPv27ZQeOEBxcTFF24r46KOPWLJkCStXrqSuro5p06Yxd+5cpkyZEprp2We0eoYvXLuKovQollMUhTVr1nDzzTdjsVh46qmnmD17NhaL5bwOTA9vgrwn8CkyB44e5ekn/86699fg7/Aycdx4pk6bhs1hR1EVGhsaWPfB+5SVlZGcnMxNN93EDTfcQGxsbMgDOVsuK3TSnddF0zQU+UyFUVVVDKKEgIAgnAl/BEFA1cNhQfcvv3iRhdMsZFnu9C728Pe//53i4mIEQSA6Noas7Gy8HR34/H6am5qorqlBFASmTJnCXXfdTeGwYTgdjkvfSxjuXQGqAIqq4vF1IIgSjU2NrF69ipdfeJGKigqMRiNxcbG43W5UVeXE8RM0t7QQHeVk3tzr+da3vkVipyGO1AEesqriVWQQBE6frmbTRx/x5htvUFZ2kIb6egRNQ1XUkEFKSUlh4sSJ3HPPPaGKty4e0GeweoYvuk49Nlh+v58PPviA2267jYyMDJ566ilGjx593h5WeKleUVVUUcSrqlRVnuTN11/njX+9Rs2p03R0tGM0GJAkEQ2NKGcUY8eO4dZbb2XSpEnYbDYURQkZrJ48zbTP/BIsy+vVz6BREM94FGE8KA0tuHh7YDj0z+mGS1VVjh07xuuvv86aNWsoP3YUp8tFe3s7Pq8Xg8FAVlY218yexTfv+CaxsbGYDAYI2/8lZbvrOaxOQ65oCr5AAITgd9Ph9XLo8EE2rt/Azp07aW5uQiDI+DeZzCQmJXHFtOlcNf0KEhISIlq8D4L5TVlRECQROeBHkRVOnjzJ9h07+OCDD/B2dKApwfylMyqKK6+8kunTpxMbGxvahv4QjdRzvFDoLtT4eecbLrXzRemN8zZYsiyzYcMGFi1ahHQVXtcAABt+SURBVKZpPPnkk8yaNQubzdbjkzkbNA0CqoImiMGntsfDsfKjHCorY9U77zGisJBBAweCALYoG/n5+djtdgwGQ+9vhh6ctRa2uS5b7v7Z3uy202DpJNETJ05QfvQoXr8Po8mEyWjEaDSSkJBISmpKsBSugUEUESPoZtcvgRbyPs/8rqgqfjkAKni9HXh9XgySRIfXi8VixW61YZYMmHtR0b2U0D7zWkPtNGIhIUstWHoSIOQtXg7ndiGhF9GAL30Ieb3eLg/dz1u7X3TtelW20JVGfT4fPp+vNx/tEQQBjIKELCtIkojUyWLPzMxgzOgxOKw2rCZzMDQzCthstvNqUznbJ1TOGC2BYHVM0M681uhq1Hq0z84vyWg0YjAY6N+/P8kp/397Zx4rV3Xn+c85d6n11dvs5+XhBQzBGIOxYQgkiITOZHATUGfpBInuIckf3ZOE+TP5Y6b/iNRSR4ryR08iZTqDNJ1pRSRqkbANDRLLBEjAjXG306QHG4NtbD9v+G1+S72quvee03+cc27dqreWbRyirq90/Z7r3brnnu13fvtvGKRIQ52U5fAK+cLKXvQyItvn7EZ2rygs1ym9ADwIPUlPwRxqA739ZuyEMAT4w9SxJeDmHZp6OyEEMpBGZ4rVg+oP1VT9TuCiUaQ0Y9Mu5jspI4qiC8o40tHdWus0FOVCwl9WAgkESHQMSGGU2oFPT08PnhZIbXVJXmutxAvFYgtMt/1c6F6B4Qo75bCyBWk936cchgir5zA6smZOdK00UtrQlQ8Jh5XNfuaQtRVr7Rz8TB4pLc3dQmaK8P4+bW3b4RZjTQsB68LRhhdffJFDhw4xPDzM1q1bue66rdZ/0OiF6/U6L7zwAvv376dUKvGJT3ySnTtvWrHTcEcEKwgCisUi09PTH5wsrjVSgZLGWdWl2DJ+UyKlEtniBUorGyrR4TstR2+Xe5zbtR0SLch4+KOb3bIPks6HBPA8Ix5f9v292NiIJrdh/9vy04hGhnxprTLyokY6P+ULPefmcXZ6XtvZe3X2P8s/dukb9LxfV/59i5V0W1jd6AeOlNJm/CnbT6AON0ij0eCpp57il7/8JWEYcvfdd/Pf/+K/MRj0I4RHI2pw8OBBvvOd73Dw4NusW7eetWvXs2PHjSsmWCtmTaSUDA0Ncf3117dUSLnU0FKgQwGewPMFvhDkfZ9ASnz7medLNMrsHGk4ELPd1covoVBLXFooQ0xo6iacKV9hrGPK/aEDYuL8tRxn6Hs+UhjHW4lAYja8LyS+Vfj7UuJdLn1Imxd7O6QGT4FvL89eMrGXyhA0S3iF54GUVpxsuoiIZS/VcoFCoUiEIrJXIhI0CUIlSHsJnYBOUCQokaCENvO12LWSYRGZy3WPpopArojItPeo9TJ0XSFIVnZp0+9s37NjsPClEEqh4wQdKVTDXEkjgQSENoOiE41SCUrHaB2TqAitE8xouZ/NkRNC0Nvbm7oWjYyM8Nxzz3H48NtU586TqBrj46M88cQTHDnyHlGk2bRxCztu3LmsW1AWHZWqLxaL9Pb2frAVj0WT+MssPc20Zdq9BBtYLH+GLLgQ2xbthaBdjBXpP21NXUYx0OmnXBTAYjctOPJt9yey/cPWG5al83q+u0h6UIhmjluZkdfsuWUU/xISAWiJp5fmvVfEYS2yVqR915VBL683zRD0xZ9iXyujW3OE0/1dL7E9tNY0hCJKEnwpmJ48Tyg9coFhDMxaFCRSIKTE8z2reyRzGjlOsCleCCG4//77mZqa4vvf/z7HTxzjr/7qO/zlX36bq6++mtOnTvLYY49RnZ1j86aruPfe+9i86cqO0lR1RLCyAaq/awvI75UO5PcIqo2LaIcQRke11OivxBixHFdjuBaRimBZ7sZtEXMZ7jT7ztnfJWJJ7mexg+KDgNvvS9G3WMplD9K0/6LVCJQ1DCw1/rFQzClF7CV4QnFidIRH/vffUZs5z0d37uSjt97C2vXD5Et9BH6hqa9bQY65YrHIXXfdxUsvvcTLL7/MG3v38fTTz3DnnXfy858/ztGjRymVKnz2s/fxmXvuxg+8jsa/Ix2WS/Xr9Ee/s3Qn85pt73EnSqWlNBLtf1vguRew2D8sqY0XgtSGIC2hwlq2y/PUH1l21BoPDIekF6UYQlvx0n5d2Yad+OWESiO2ixYOA6v6lIL5f1sAWoMWnc/JQvO45NxqvcT4aTQCqSVaZzRl2Wc5jiZLqNxHLf0XWbk882XzuwQCLUEJPOnha8m777zDnl/9il//8hVu3nUD11y7lR27PsrGzVeybt06yqUyYS5cEaOwYcMGHnzwQQ4dOsTZs6f4+79/lN+++a/s3/8vRFHE9u3bueeeexgYHOjYjrRigpVN7dKJDssRtaUWQ/aexYhg09GMdIKMJc2qeKVIn2U81RdeTFnOMNtW8zukjqHNbzcdP2Umt5X94orHAJrjmDUaZPvX3t9LgWw77QdNdjwEIBINyloktcKoge1i1xohU/tf+iWVJEjpWYdbYw00rJA2hhN7swZ0kiB9z3AaljVwIkFLn7UwqpJE2TZtwVUNQmF1etr2SaXPR0hQykyL1kZ3Jo1vWKrGcBZXSxcSrUi0SlUdbkyWOpCdz1G7WT5b8drNc/pZKsjOe5i1Ngt0Ik3thOy8CZHSeq1Vc40mZma0UiRR0pxEBCpp/j+dezuHGkPQQ+GhUawpD3HDR7bz3NPPMTV5nHeOnKBYfonh4f/L9htuZNeum/j4xz/OmjVrKeTzlMqmLqkn5/vRufCzj33sY/zxH3+B//N3P+bw4SO8++6RVM/11a9+mau2XEkuF6b7dqXoqC6h7/tUKhV8309j9pYiXE3i0SR27ci6R7iBXajoZLqxEUgkSmUWqxCQNImUsoJDZKv0+p5vdByeR9yIbaiN3YaZw0xrtzWtO4EnEPboMn21bSplfhcgnJ9Jdq+1EQjnTOcWr+NSXc4vKeW8sbnUBMshW01bKZXWmtTacCrEChUlhpPB9K8RRbYAiUArQ0A8z7Onuy3jrl25dufgajZanCSAGY+5ahWE8b3xfOefY1w73HOF9NBxhEBSm2uglCbIBczUZo2xItGEMqAY5EmiCEWCFtCIGmgBng2n0lqjgChuoKRC+kadEcWxpVeGO0vn3JMtvkFunrLpj9rHNJsw0oWCtSdbdOvfTKe1SFiCOY8gaojnIiQSzxFCpQyXKKX5Do5oCbSGeq0Gcczk5Hka9Tq+75PECVNT0yRJjBTCxskGxEoRRxG+9MmT54orNlKdrXK+PsPY6UmU8kjQEGsa52eZmj7EoXfe4Re/eIyBgT7WrVvPzp03cfvtt/OZz9xDf98guVyrn5WUklwux/r163noof/Knj3/yD//8z/RaERUKj3cf//93HbbbfT2VkBofL8z1dLKi1DYzeaKMBw5coSRkRH6+voW/Y7bFI1Gg1qtRi6XSwmdcyhLkoRGo4EQIq0rWKvV0oR9bgG5z1WiEEoSegG5Qg4Uqd/S1NQ0ADMzM4ycOMFstcrq1avYtGkTnvTTisTV2SpCmkWmlWa2OkutbgprSOnZbA299PdXmJqaZHJygsQGZwe+R8Pm30qUItKqqVCAlhMaTKB0pVJhYmKi5fR1fRscHGRoaIi33367ZdxSD+pLgGybLtVyFEXU6/XUiOIQVWucH5+gVCoxODREX6WHo0ePgpSEQUBtrkaiEsIwJAxDpPRQ2ozFiePH6e/vp9TTQ6IN9xGEIatXr+bUyEmefOIJfN9n8+bNDA4OEoQBQRCSz+dtSJXC80wIUhzF/OrlV4ljxbU3Xs9Tz/4DV27eTKVYphTk+dQdd3J+bJz3Ro7RIOHNf/0tSgquvuoqpJBMjo3TqNU5ffY05+emGR4eZtXgIP//rbeYmZlBCqNMDoOQ/v5+/MBndHSUubm5lJA4orUQsodMGJpnJEnCuXPnUiLm5jIlTJ7jymlVxIE5Hazxzbeyr1KWQ0uU4Ua1iWuVXlPS8D2J0JDEMUJhfPaUIklMhlRDdC1DKSRaK6Tw8ISH74cIIYm0Yuz8eVTzmEIIhRCK2MbXupoE7713jJdeepnHH3+Cv/7r/8E1V18zb1xc2bc0A60ijaXs6+ujXC4Rhr4dF5W2uRJ0xGEprWk0GkRRxE9+8hNeeeWVZZPKuc0XRVEasgCtHISbYM8zCjgXhGxuxPhYWeKmtYZEkPNylMtlkji2nFRCdW4OgaDRaDA+Pk4UR5RLZQYGB/CkqUw8PT3N3Nyc5WyMGGP6ZAiEJyVCCgr5PLl8wNzcDHNzVRKl0kWexDHKTkZDxS0K5BbrqTATWC6VmZmZaYkDdBxrX18f11xzDa+99lrLmF0KHWGWeGY5K/fTiTTZd1LabA4hJfkwpKenwtTMNCpJzCZBW698J6KYw0fZgycMQ7wgIFIxQRBQKhUZWLWa0dFRRo4fI5fL8fbIYcIwB8KkvA6CwCxZaXNjCMNHT05ME0Uxb508zGyjztsnjoDS5EXAeydPoqIG1XqVWtJgplYl1gmnJs8ZJiZWBH5ILheQF0VOnznNyKmTRI0GCk2iYqJ6TBRHRElEGIRpIsgsdwWkXHBWVHS1Jj3Po1arMT4+3nIQZcc6TZEdGF0ZnkDHCi/w0/UmPGnEOqnxfVP3kzihXOnF8710DuMoRgvN5k2bqVTKjI6OMnp2lEa9ZpJshjkCP2B2ZgalEsIwh+/7zM7OoDUUS0WKPWX8nhz9qwfJ+SGz56vU/um3jE2PgzJOvdKK88JKF/V6I00iWSgU+IM/uIu+vl7aCY1b4/V6neeee47jx0+Q2JTZs7NV9uzZwwMPPECl0kMYBpZb/ACshAhBoVDgqi1beOvgAWaqsxw4eNC+pCIX5mhEUSo7u43gatZl9TbZjrn7giAgn8+jUFTrc4YbwTgf+kHA4MCgjUurW18RKOTzhGFIoVDAD3xrYxbonCZXCalOzDIbzzB7doYwDNM28705PD8gCPKGzbZtmVQx0pQwQ6BUgz56AE2j3khPVWH7Eccxc0kDPwxRyhRKnZicoNJbsaKWxA98kkQj8j4SKBRNLF3gG04zF4bU6rUF80FdrFiYFW+yaZbbdWepKK41ShiChDR5z/L5AoVigUa9Qb1eJ8yZrK8azezMLEkSk8vn0UoTNxoMrFrFXL1GPWpQKpe56sorCXI5JiYnODkyYlIE9VTwPY8kUYyOjtLb22vOdilNgLvvUSyWmZmpcubs+6xZt5b+VYPUowb1uRqlsEApzBNKDzyItGKmViVKYjzPR0Uxoe+TD/MM9vUhVEJ1dtZw55YoJnZdCkxVc99y9O7wdPPrQkwcwXIHp+NU3fi2j6Vb+6nYLQVKamKRpLUJAj9AWBFaCkmcxGipkZ4kihvESUJvT5ZgJURxAlqzYcMGSsUiExMTjI2O0ajXQEPgB+TCkJmZaZIkoZAv4Pke1WoVrTWFQoF8uQilgFJ/maJXYPzsOD/925/wsyOPoNF41liBZ4trVHpYu3YNw8PDXHvtR9i1axd33XUX/X1981S4zuP9+PHjPP7440xNnWdwcIAwDJmcnGTfvn08/fTT/Omf/gmrVg12vMY7shL2DfTzZ1/7L2zbfj1zc3P4QZASlZ6eCrXZ2XQiC4UCQpgSUCYHvGrRA7hNk8vl0FpTKpXoH+gnUjHnpkaJ7AbTWlEqlLhqy1VMTk4yNXUejaLRqJPL5ejv72dgYIBKb09qwYjjmLHRcd49/C6Vnh6kkBRLReIkQSkj7gVhiWK5DyF9VBzjCUFPqUzge+hEWVY7xhdGZzU9M40nPfKFQpoRYrY6y0w0R7FcJIpjRk6e4J1332Xjho2USkWElOTyBar1mJnZGTwpGaj0MbRqFbkwhy9MPJ1IvVBbs4leCj1WlkgtB+cyYL7oNqC0B01TnyOsLsVV/k7fUxuiozHET0pJGIa2X4nNe+4hpWcWujKcijFkmEYFAqThqpPEiJrSs4TXnvpSCDyrm9HWKKAsd5gq5oV1ws0qKd0Ksdwh1pdopaOcnY+ljEntY+3GSztr0RLjn/5mLbULLYFWW3W2fxmboLba2IW+r02GjajRIAxznBQjUFWE0kcLTRgE5AoFBlYNsOXqq/jEJ+5k5003sfW661i1ajCVqkSbR54j+GfOnOHhhx/m1VdfxfM8PvlJE37z05/+lAMHDvDss89y++23U6n0dpwDbeVWQm0IjqtMnI0Hc3Krv8AJkw7kEi+VFUkSEuq6YQ3WxvtboUz70rLWOMV1MzbNk346WUorrlh3Bbtu2pkuYKNncZYTgcYHGSKlj2f2iAkp0RqRbgqF1oYA9w8O2OopZnN4UtI/2E9DGU9qgOG1w9xy0y2pghrh/LNdsAoIrW3mBWlM8hokHp4IADGPA72cWGgrLfUG7Ybz9r+1fh5A2OELtXtAC5GGas17CyFAeIu8UDsb4D4RK6dW7U9cZj0v9AYCQcfBhxenFVjEKKkh0XheHh1pRs+O8t7hI4Cgv7+Paz9yLZ/69Kf4j//pU9xwww32sFAEfpByewt5FzsGZc+ePTz//PNpJfMHH/zP7Nixg76+Pr797W/zm9/8hieffJL169enhVlWutY74rA8r/niLUpFNL7n42GteJaAtXNUSwUqG52BwpOSvAwsa27FM+GnOiRhlZGJVkjd9LiXGTlYowm80LomiNTfR4kMAfV8NNKayW0IjhUFDTHGEC8kQjYJsHRpXjRoFKEMSVQzoDkX5JomdEds7VxIIdLwG9NCU0+iMNaj36VDbqd7d6n7Ly+p7aJTaKXRVlUw+v45rrhiA1duvpLdf7ibXbtupn+gn0KpQBjm03NCCMl8F/rWmT548CCPPPIIo6OjVCoVvvSlL7Ft2zZ6e3u544472L59O/v37+fJJ58kDEMeeugh1q5de/EEax5bazeYJ72UEIDhXFJCJJrKRkewlhNF3L1O/ACNh0QI6xBoXQx8pNFdYfxPfDwTuqOtIKFklh9GqQQsgXDii8QzhMaa8KUUznxi+uieJcwzEu2Uyzo9UVK3Ig1aC6TwUquORqMT+/7mEaaIhU7MmGknojhG3vavG/LfxWWEwNZSsAaTbddfz7e+9S1yuRxr162jUqk4rxTrA7eYeNn8QCnF5OQkP/vZz3jrrbfwfZ/bb7+dL3zhC6xevZogCFizZg33338/J06c4OzZszzzzDPccMMNfP7zn09VB8thQYKVTTLndCkarLKx0XRLkK0ioZatImH2Z/vvWWRrCWqtkY4AOidRRzSw+gkpUj7FUA7HEaUUy5hwrUhpuJ9s5lAQIqO/SHUwTtPQ1IOIlJvSuDAQ146JXZMZgc96d9nvYIkUwol4tLDowhJTN74tDqlddPFBweonfZvFduOGDWzauBGw+8yuR3Nvdv8u/kitNePj4xw9epRyuczGjRt54IEHGB4eTtOo9/T0cN9993Hs2DGeeuopAB577DHuu+++1B9w2VdfKOOoI1ha67T8e3VujhMnT6bFSz3fo7e3l6HVQ/T09OAHPvkg6CjyepGer0CcuABdQPv3rbo2bbapN04vw+UtA8v1LaFLRTjHB9GkV5rWLnRjI7u4nFgqXKm5RuXiN6V3Nn3WxsfHeeONN5iamqJSqXDbbbdRqVTmOd0eOHCAQ4cOMTc3R6FQYPfu3YRh2EKwOkqRrK2/lfv5/PPP8+L/e5Ff/frXnD5zBoB8ocDgwADbt2/ni1/8Iv/h1ltZPTBIeJE53t0wLK9svJj0Ns7XxLZnCYnK/AQTs7acS5vL7b7YC5t2REqssu1ks5l2s1V2cTmxYoK13EMy6945jDr/tGwEQPYeJ705d6disTiPQHVMsKIoYmxsjEcffZRHHnmEk6dOMVebSxtylrBiscjQ0BB/uHs33/j6N9i4YcNFWbfMEGR28iJ3XBTB0iC0SNPXOCLiUiI7guUrYzlcvDcuB9cis+/a0YbsuWe3EyypNV6XYHVxGbE8wRIsL1+0umk4h1pngFooDZUzvjkPgmx4WBYd5XQXQjA6Osrjjz/OD3/4Q86dO0e5p4d77rmH67ZeR6PRII4jzp0b5fXXX+fw4Xf5+aM/p1I2sUKbNm26yCT8TX3Volh2d2cVRm3KI9NJdPbPONNzcw6sin+RxrLPc89vb5OMPsAqLjPtOF+g5bIJdNHFpcZyAkx2za4ULlolG4K20D3ZWOFOi8csSLCUUhw4cIAf/ehHHDt2jHw+z66dO3no69/g5ptvTht4//33eeGFF/jud7/L8ePH+fGPf4xSiq997WtUKpV5cumKOo0bomWolb5IXZlrzCIlrQs2u/i7pJWhV0RczZnlLbdauujig8Yy/ECrtrWDx4rFK6A7rDQd8kJYkAWq1Uz14TNnzqC1ZsuWLXz5y1/mxhtvTMMKhBAMDQ2xe/duvvnNbzI4OMiZM2d47bXXOHXq1AdWpKKLLrr494sFCdbY2Bj79u2j0WjQ09PD5z73OW655ZY0Hi8IglRxVi6X+fSnP82WLVsoFoscP36c1157rePyPV100UUXy2FBgpUkSVpfbNWqVdx9992sXr26RS/lAoGllPT29nLvvfdSLpusBGNjYx/asuNddNHF7y+W1Iorpcjn85TL5VQ5ls3KmL02btxIGIZNK2KXWHXRRReXGAsXQHHxedaDvT2ZXDaO0KWMcRkZFrMOdNFFF11cLJblsGq1GrOzs2ma34Xu0Vqzd+9eZmdn5zmKddFFF11cKixIWQqFAgMDA6mSfXJykpmZaZROaBYjNYGRSZJw+vQZ9ux5nampadasWcOOHTsWzMveRRdddHExWJBgVSoVbr31VkqlEuPj43zve9/j16++wuTUKIluEKmIRMXU6nWOnTjFj/7X33Lk6AggueKKK9i6dSswP+NDF1100cXFYEHfg1wux5YtW9i2bRtvvvkm+/fv52/+5n8SqTmu+chWZqarlEoVxsbO88br+/jFY08wPT3L2rVD3HbbbaxevTrNPNDlsrroootLhQVjCQEmJiZ49dVXefjhh9m7dy/1xhwbNg9z3bbrOXP6LAMDqzh+7CQnR05zfmKKSl8/n/2je/jG1/+c7du3mwykHbrdd9FFF11Ah8HPYHyxZmZm2LdvHz/4wQ94fe8/Uq1VkZ6k0YhAgdYSIX16enr56le+wlce/BM2bdrQUkmnq4DvoosuOkXHBMtFXlerVUZGRnjm2X9g7743ODFyAjREUcLateu47rrr2blzF3d8/GMM9PdRLOTTAMeLiRnqoosu/v2iY4IFTaV5FEWMTYxx6vQpJifPm6obSUKl0su69eup9FQolYoEnpemAO7qr7rooosLxQURrCziJCHBpRo2aSeajqKmMESWYHXRRRddXCg6yoe1ELSrJpMpyWVyrSsQwuRI76KLLrr4APFvX/RSzofxxVsAAAAASUVORK5CYII=)
A conductor rod AB moves parallel to X-axis in a uniform magnetic field, pointing in the positive X-direction. The end A of the rod gets.
![](data:image/png;base64,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)
physics-General
physics-
A conducting square loop of side L and resistance R moves in a plane with a uniform velocity v. perpendicular to one of its side. A magnetic induction B constant in time and space, pointing perpendicular and into the plane of the loop exists everywhere. The current induced in the loop is :
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2bR3t7m19KxPtdXFxMPB4H4NhjjqWkpDS73eFwqIYaXogQIQ4Lgtg9pRSPPPIIv/3tb9i2YxupVApDFziOoqSkhOLiYlzX5ZL/uIRvfOPabKD14cgwCcNSQoQIcdgQ8MuwYcMwTZOyklKa9jQxYsQITNNk+/btbNq0EelKnn76aT7ykY9SW1tLLBYLNbwQIUIcmWhqasJ1XZqamjjxxBP4zne+g2kYrF23lj/96c+8/PKrrFu3jlWrVlFZWUksFjsscoSEFyJEiMOGIFWupqYGx3bQhWBk4wimH388AI0NDby16C1emfMKju3Q1dV1WNPoQsILESLEYUEucZWUlGCZJtJxSHV1sXP7dqRU7Nq5kzWrVqFrGhHLyhZ9OFze2tBLGyJEiEGBUopUVzeznnue7o4OMhmb3bt3sXLVKlCSZGEBkydPzpZuOxzcFDotQoQIcdiQW/klmYhjWiZbt2/jsSeexDB1HMfF9dupplNpdu7cQVVV1WHT8sIpbYgQIQ4rAqXKcV3QNUaPH8tXrvkqsUQUabs889QzvPDcC7S2tnDvvf+goaExG5v3biMkvBAhQhxW9BCeQyQSYerxU7no4g+jmzo4kmQ8ycIFi2jZsImVfve2w4WQ8EKECDEoMHQDwzBwHIcNGzYRiUWwdIOOjk50TScSiRKNxbLFUA+LDIdlryFChDjq0bcKtetK2lrbefbZF1i1fj119fVUlJay7K2lbNy4mSnTpjF16lQsywoJL0SIEEcWcsvDA0hXYmcc9uxppnlhOwsXLEIXOhoQtSwKkkk+97nPUVpaetjCUsIS7yFChDhsCHpZb9myhWeeepoN69czeuwYSiq9jner3n6blcvf5tiJx3DW2R9k1OhRmKZ52PqODKiJT4gQIUIcLHKbAaXTabo7u3BdF83QicTjKKXo7OjASWeIWBGKiovQ/d7Guq4floyLkPBChAhx2NDLFue15vMKQ+VwmchloNzvw+IBIUKEOJLQi7SClpN7rTRo4oQl3kOECHH04D2XSxtUZwgaAw9V9L3uSqm95A0aduc7/S+3OXRf5H6fbznhwE24A+Rb1v7ubd/rnNvoOt/oe+1yG4gHy3Mbhw9VXnnP2fByDaVKqV7GT6UUjuMAZKuq5t6kwZItQG73eV3Xs6QXDPy+g2cwZQ2O6zgOmqZlXyBBFVovrsrNVrQVQmS9a/lAIE/QM0HX9Wy/BADbtrN/B9V08y2r4zjoup69/wF5BEQYXNdgTORLVqUUmUwGIDtO+47JQL58y3sgvOdseIF2t7/l0EMyg3ljgkGcO2ByNdFcsgt+8j1wgsHuui6WZfUqu62Uoru7G9u2KS4uzrusruuyc+dOHMehrKyMwsLC7DLbttm9ezdCCIYNG5Z3WW3b5tlnn6W2tpaRI0cSj8ezL5DNmzezfv16qqqqGD9+fF7llFKya9cunnzySYYPH8773vc+ysrKUEqxZ88eZs+ejeM4zJgxg9ra2kF/KR8s9BtuuOH7B17Ne/hsO0NT0x5My/QeUgEocKWkpaXF22Ee35zgPYQtLS1s2boFIQSWZaHpHqGk0il279qN4zrohuG9VUXPeQyW8TQg5R07drBj5w4QZJOllVI0Nzezc+dOAKLRaPatmo/BFBDFvHnzMAyDwqLCrOW3abfXmGXVqlWMGzfusPQgOBhkMhmeeeYZnnrqKUpLSqgoL0fXNdLpNKtWruQf9/2DTDrDhAkTEHk0dyil6Orq4nvf+y5vv72ScePGUlpaihDQ0dHO3XffzX333U9paSnHHDMxr8+U67isX7eeG2+6kQXz5zNs2DCGDx+Obdu8/PLL3HLLLWzcuJHp06dTUVGR9+f/QBgQ4UkpcZw0W7du5fe//z0NIxqJJ2KgCTJ2hp27dnHfffcRiUYpKy9HNwyCidtgn7pUkpdffZmf3PwTdE2nYUQ9pmlgOxnWrF3Lrb/7LZppMLxmGBErgiY0hPJd4+LwCxwMBtd1efKpJ7n9j38g7aQZO34MKEF7ewcPPvAg/7j3XkaNGkVVVRWapuV1mrBp0yb++Kc/snjZWxxz3DFEohHS6RSPPPIIv/j5L9i6dRvnn3ceppW/KS14hLd48WLuv/9+li9fxrixoygqKmDd2jX84AffZ82qVUybNoXx48b5hJcvWRWaJnjttbm8+OILtHe0M2nSMWiaxuzZL/LHP/6ZysoKPvaxj1JRUY6mDTKJ+M+DUKAJjaLCQrZv28brr73GmtVraGxsZNPmTfzsZz8jmUxy5ZVXMn369OxL+wgnPIWULulMmnXr1/GjH/+YtRvW0dDYSHFpMZu3bOHmm/+HZ555hhkzTqK+oR7DNLJjabBPXSlJxk6zYuVy/nD77TQ2NlBdU82q1av43W2/57V5b/Dxj/8HNTXDsAwTXYjsDVaDQHi5U+6aYdW0tDfz8KMzKSsrpbqqmrv/9nce/ecjTD/+BC644EIiUSuvA8i2bQoLCykoKOC1ea+yZMViTjzhBB595FF++5vfMXxYLdd85RoaGurRjPxqeJqmMWrUKAoLC3nuuWd59ul/kUzEWDh/Hkq5fOrTV/BvZ56Bbhpomk6+CE8IhaYpJk0+lj3Ne3jmmaeZM2cOG9av52e33MK4cWO4+urPc9xx7/Ptjcagj4HgaEIIDENnypSpKCWZ/eKLPPzPh/nXU09RVFTEddddxxlnnEEikehlxxuqGKCG56CQxONxqqqreOqpp1i2YgVtbW3MfGgmby1azJe+9GVOPvlkCgoKsjapQeCPvaBQRGNRxowdS0tzM48//jg7duzg8ccfZ8P6DVzzlWs4Ydp0Yn7TX6EJEDlkNwiEB97DGY1Y1NfVEjEtfvnzXzHrued5Zc7LnHbaaVx15ZUUl5Zkp+P5gjfgDSorKtA0jQfve4AnHnuSxx55jPcdO5mv/vdXOOaYiZgRq8fMkSdIKbEsi+rqamw7zb+eeopX577O0mXLueLTn+aM008nkUiC0BCaQT41PCldorEIY8eMoaOjg8cff5Jly5dRVFTMNdd8jRNPOIFoNOo73gZZcw6UleB5UArDsigqKmLrtm0sWLiQ1tZWjj/+eC644AIqKyt7OVmGMuENKCxF0zQM3aCgoIALL7iQXU1N3POPe1m4aCHJRJL/+PgnOfvssykpKQF8FzWeWUwR/Bo8RGNRGhsa+OIXv8jXvvo17rrrb8SiUc477zzOOuNMktEYuqb5Mqos2YmswIMDTdepKKvguEnHsWvbTtauXENjQyNTpk6hvLIMTct/WErgoS0qKmLysZMYP2YcD9w/E5TkU5ddxshRjcSTMaRy0dAH/V73hRCCeDxOzbDhaJrOrt1NRCIRdMNECQ1J4PmGwRU2uIc9xh5DN4jFYiSTBTiOg+O4KKUwDQNN11CoXmEfg4ng+QVQQtDR3s5bSxazdNkyDNMkEo2yZMkS3njjDUpLSyktLc0S3lANSYEBlXhXKEU27CBZkGTkyJE4jsvWLVuoq29gxIgR2Tr0kKPSquD/wyN8/+L2TBkTiQSmZfmanOa/MaUfuiDQdNBF76mNgMP24u8bY+XlEnazbu1GNMOgceRIItEIW3dsZXfzbqqralBK7OXFHSzklvZpb++gafce7IxLfX0DkYjJ+o0bWb1uDdFkjEQ8CeRvOhNcz1QqxZtvvsnDD/+TqpoaJk6cyKJFi3hw5kMUFBYxdepUEokEmpZPWT15m/Y0MfulObz++uucc87ZNDaO4IknHueee++lsKiQY489lkQ8kd1uUO+9/ymlJJ1O8fyLL/D3u/+O0DU+/olPELEsHnvsMe68807i8TinnXZa1is+lMNSBual9QeT4zhs37Gd2//4R3bu2kllpWdQ37xxM5MnT6awqNDziuZMaQd7QqaUpDvdzebNm7n33ntZufJtLrzwAiKRKCveXkFBUTHVw4ZhmAa6pqFrBhq+kXaQ5uABkXR3dzN/wSL+etffKCot5hvfupaUk+bVea8hkTQ0NBKLxvISMxjAcRyUUrz11lvc+Ze/sLtpD//91a/y/jPPYN7Cecx7cwHVtTXU1tWhCx2Rxzmt67qsXr2aW2+9le3bt/O5L3yBq6/+IqVlZTzz3HMsXbqUMWPHMnx4redNzIuUnu4kpcvzzz/Pfffdx5QpU/iv//oy5557Dt3dKZ599jm2b9/Bce97H8XFxb4Nb/BNG0qAK102bNzI97//faRSfOHqL/Cpy6/g1FNPJZFI8MYbb7Bx40aOPfZYqqqqesUTDkUMiPA8rchhy5YtfO+661i8ZAlXf/Fqvvntb1JbV8eD9z/IylUrmTplCqWlZdnwhHzY8FzpsnTpUm686UYefHAm37vuu1x2+WVMnz6ddRvW84tf/5qJkybRUN9IIhZDR6ANopfW83g7CCF4ac4cfn3rraDp/PYPtzH+2AnUNtazfPUKHnx4JslYkmPGTcSyrMNWLmcg8ra2tvLjH/+YFStX8amrruLD//7vjJkwjpETxrBwySJen/8GZ3/wXGJ6JK9vdikl9913H83NzVz5mau46OKLicUTTDzmGOKJJPMXzCdj25x8yskYhpFHala4rsNdd/2V0047lU9e8gkqKquIRCKccMIJCCHo6Ohg+PBhNDQ0oOsmg/kkKUAK/9NXdLZt38HlV1zOBz94NolEgmg0ynHHHUc0GqWqqopJkyZRUlIypLU7GGCmhZQOnZ2dLFu+jB/+8Ed86tOf5tTTTqGwqJiO9k6ef/557rn7bq644grOP/8CEglPDc8H4UklmfPyS9xxxx2cd975/Nu/nUkimcBxXDZu2sTf7r6bcWPHcf4551FWUuJrJUDgpT2MnJLroVVK8fbKlSxZtoypU49nWN0whCawnQzbd21nxYoVNA6rZ/yocRiGgVKqV+bAYEFKiW3brF69GttxqK2vp7CoCIkklelmy46ttLW2MvnYycS1SF41vICcbdvGikSIJxLZl0RbezttbW1EIhFKS0ux8kx4Sil27NhGPO6XNRe6r8Up2trbsW2bWDTmT78H16Oca8pWeJWKW5qbSSQSWBELJSVIz77Y3t6OEIJIJIJpmnkZoweDARKei207tLW1sW7dWsaOG0cikUDXvTZrbW1trF2zhrr6espKSzEtq/dBDpv4e8OLAG9iy9atDBs2jKKioqzGmU6n2bptG7FolKLCIqLRqPdG6ivhINjwwJvSulL6wcVadpC5ruNpgQgiVm+tabDfnirHnKEA0zB6jLJCYdsOUrpYVgRNiLwS3j6N5YEhPXBUCE/K/GgiuamFagD2bZGzziClQPb3ne+IDP6G/q/fUNbuYIAVj3MHfeC8yF2Wm0+Z72h78N70gXezrzxBHmOuIyBEiBBHBwbUiDsgtKxtrs82QejCvpYPJoK3j2EY2UTy/uQ9EoIkQ4QI8e5iQBPuIJcT9p42BIQxlHLoAm9mf9pmUJFkKCTmhwgRYnDxnisPFSJEiBD7wtB2qRxB6O+tIQ60wjtB79jug90sRIijEiHhvQvYV0ZaNrRP7otocutS5X723Ut/+xYocfCEpxhA5M2+dvpO2PKdEH4eWPpwXIIQ+UdIeO8i+tXy/BZN+0wvzNoR+34Ge9wX4fmkd5AyHvCB3d8OD7Vm4AGFzG94yMCXDGrZxBCHAWEj7ncJqj/lLIAIVoDcR0b5XyuR+733KfDT3fb3+B3CnTvQw3rgzOpDw773u/8jHr7BuZ89H66LECLvGFBYSogDIEhN63eRQiJR+5hHSvZt/xOin6BoH/o+p8kDwH42PNCzfKjH3P9+97308I3OPFyEEHlHOKU9RPTqOREUHkCw19xVKVDSt5t52puW2xcCjxQRAhFs6+9LuSrQ9bwCDn6aDyiUrqFpAjTv+P2F2SgVCKbwS9545Xv6rpP7f9A4iOD8tOz2gt7FC/o2JOqv61qwjuvL398yIbyMA4VCSoXmH0NDI5VOYRoGUvlNhLSeJkIixxwgPHXYv1b0Olaudq3wzkm6XrGBIJwqCFXybogfgiVl7+WAPhgAACAASURBVHuleo5xJNR+C7E3QsI7BORml2Q7jWkeMfiPik+CHrlIV3gPj/ADnnNqnEkpPSLStdwExl4OD4SXxC2lzC5zpEQKAdJLPRJCgFC9+FZlrXwiS3be7LkPyQXkIQSu8g+IQioFyvX2jwAlka7aKy4z+DvocBaQR5Dt4kqZTUYPttE1zds/CiUdNE2gCQ2FxPHzNCUSoYFSLiiFdKUvC3ikI3sMAUHmGMFLwj9tBDL7cgp4X+HHpJPJZHp1W1MokL5cSqGkR/ZBlzE0gRWNZM8DwuD1Iwkh4R0isq32XIeM44DR02jHlTI767FtFyUFGdtGSUU0GsGV3tMWaDRKKW8fOSQpAF0TKP8ht22bjO219SstLaGzs4OMnfI0r6BPhnQ9DcknHa9Qga9VBpqdlBiqZ6IcEFaWnDTP+xs0N3JsB6m8+oEGAiEVuu71g/BS9ES2vhsCkokkjuOQSqVIp1NIqbBdB2EY6KZBKpVC03S6OjsQQiOV7iaV7sQyDSzLIhKxSCSSdHV30dXZRcy06OroJBqJgID29nZcVyJdiWEa2WIMXq9UL2XQth1M08Q0DLq7uzH8VMhoNIplWbS2tiPQMQyTdDqdzcjRNA0lFZpSlJeVM7y2lsVvvomUklQqRSqdpmpYDSedcnK22G1IdkcW3nONuAcLQbHJFW+vYOOWzShTy/ZtzaTTuFLiODad3RmkbpGxHTo6OqiurGTnzh04jgsCTMvCcV2279iBJiASjaF87dG0DFzHRuAVPmhubqaosIgLP3Qh8+a+ysZ1a3FsG8PQUUBnZyeu42BaEaLRaLYHr67p6IZOJpNB2g4RPNug0ISvAUm6u7oB0CIWEkj6lUZaWlqwHQfD0NEV6ICua0QiMTo7O9ANHdMwSKczIGD6tOm0tDSzcuUq0uk0QhN0dXdjRiLohk46nULTTfY07ca0LDKZFLad9vKzhSIWi5NMJrBtm67OLsoKiti+dTuFRYUIn/A6OzwSi8Yi2eIFkUiEVHcnhhnBdb3pr2EaOJk06Ywnf0lJCZYVoampCV2PoOte+qFt27iui2maXlUaYGTjSM4591xu+/3vcB2H9o52WtvaGD1uHLX1dX6dup7pdYgjA6GGd4jQdZ2mpib+/Kc/8/e//5VRoxqorqmitbWV7u5ur4CBUsQTCUorKsg4tm/z0eju6KCpaQ+aplFWXkZVdRXtrW1UVFQQTyYwTZOmpiZcqaiqqkS6Li0tLezatZNoQwOLX38R2dVBpr2J9vZ2CosKKSgspK2rleLiIqLRCKYVQakIBYkkqVQK27EREZNoJIJrO0SsCFJJCguLsCyTrVu3oGk6UmlI6U0F44k4FSWldHd3Y5oGAgelbNKZDKZpUFIWo6qqivLycjZt3EhXVxenn3EiO3ftQtKNrhtUVVaxbds2NE0jmUjQ0dFJV2c36boqSkqKicVi6JqgqLiYzZs20d3VTSwep7ikBF3TaG3aQ2TKcZSWlhKNRjF1nT179jByzBiMiElLawu2bVNeUcHa1asZOXoMpmmSSnWTSaexLJMF8xcyfPhwamuHY5om6YxDd1qQTCax/Go0uU3blVRoeK0Cbv75TxFCsWTxYv74pz+RLEhQWFiYLUARanhHFkIv7SEiMHSbpsmECRO5++93UlhU4E0x/Sll9m9dRymvzFYQcuK4DghvqhloCrkPUNAA2zItpOqpoSeE8LrCqZ6iDoGmZtu2V9jStxV601TPtiiElp2+6rruO0F6zqWnH4EOSuv1XXBshY2mSQQi69TwjoFXs02BpmuMHDmaE6ef6J2rJnD9UldSuv7+fGO/v3/Nty0qfEeCpns9HZTCddys7TFwEkgp0YWGMHWCluuagOnTZ6Dr/nTecUGBbuicMP1kdF3D0L2acwoNKazsued++lfE/06hlIvtZIjGozz25OO0NLfQ1tYWFp84QhFqeIeIwOZlGAaFhUXU1o5ACHzCEdmaa+A5HHIN+Zqu5RjafU+obwMLPIXe+p4DwXvQvfpprpToeuAB0HxDvPLWzdajU55fRGhZu5bnHPA8tZ59T/n79ChD13TPYK90hOjjmSTwwgoQEv9QvRwWQgjfydHzv6Z5dkMlA6+nJ2cwdQy+E+DZGLNeapENyFbShRwPqsqu610b7/p565qWT/Kahq4rNOUtT8Rj/ksBbxshUP4LIJB1b8ILgr51dEN4tlfXZefOXWzYsIHx48f3apAe4shASHjvAJqmYRgGhmFimNGeopI97kB/Pf9TgNBzvaK+Nzd4wAJngh/dka2z6e9OE4CmesrR07NfAg5UCqEBQvoBLVp2hyIIFlSeRxSU7xlV3jpK7qXZBf97GiuAkZWHwAvsi6/7Wq0KtEfVo8WhFEoon6x6CE1oHhErP3xGBdfAP0elaSh816wfutKLrPx1c6+V9D3iBN5r/7qo7EtIHSRRCUzDIBKJkLFtMplMSHJHKELCe4cIpra6YfhTvZxl/fydw1O9/s6G8Ine2/Ucx/vU9/OcZfeXEwXdKzZur21FTpgHvma3d2xZ/9M9ssKq3CUit0Jvj9xKgOaraD3E46+v9+xgn6fnk2r2sKLnwL3FU2iqn1Jl2bAT/7w52PaXoleh28ATHhLfkYWQ8N4FKED109Q2+G+gNZXfvWdHHMRRD2a3e59jcLT9ZR/02spXyfb1Yuhv33sdtkdRzf23zw735zk9uFL0mhC40vPmQo+tNYzDO/IQhqUcInoF3gqFxO2XsAJb3aBCBdPYQ3kQ+ye17LJD6FbuvRD63+pA3JRNoOgHLl53rX63A7R97lewz1y/rP0ugGc3TSYTlJeXY5rrsCwLKWW2YU34DB05CL20h4jcqaKG8CLb9ioQ0PMZGMx7vuuLvbfZ/+d+IHLlOBQcaEzkLt+XXH2+V7nXYF/o51yzmtTe12D/pLa/63aglLDepCcAwzApLCxEum4vG97Qf34OdL2PLoRT2kNEbriGQKApLWds9bLY9Zk+7WsAioP83K90A1jnUNCvdXEfy3LIZQAy9V6nz6fo//sD7bH/fR54y74IwoJs20aqngZRRwaOPlLbH0LCexeRzxaFg4dDO8fBpOB3E0F7QsdxsG07m0Z35BPekSL/u4uQ8A4R+47hCvHeggA/2Nm2nR6HySDb7XKPN/Dx5sdn9gMRhAcdxD4PTYahhZDwDhHZgF1d79WnN8R7C8IPgbEsi2g0ilISx3GyISreOof34Q/6LOf2fj7wMRVSujhOxj8R71cQ4K3rOrbtIkRPeaz99ZTOrQ7UtzF835f/UCbD0Ev7DhAMvjCJ/L2Evl5a76UWjUZJJhP9ThAP9313HGcvEhnIMbu7u9m1ezvRaJTCwkIv80VoSNelta2b9es2MXx4LSUlJb2Iqz+4rptdns05DoLMs2mJQ3/8D9BLu/+YpqGF/V90lSPvO5E812mRSqV6fbeXOAc4kOolVc9mQ9EqqPZxfYeepNB7LBxckHGwrVIg3R7tqv/QI9Gz2QClGahUwXFbW1uxLItYLOZt1/+AycJxHObNe4ObfnIjjuNw6qmncNWVn6a0rIyFCxbygx/cSEdHJ5/85KVceumllJWV7VMzk1KyZ88eotEosVgUKYPKMtDc3EJnZyexWIySkhIvz3kI9ajuiwFNaaV0sxdeKtlTddZPh/LyMsWQUGmVAte1cRwby7L85PogF1PgyJ4E+qDo5MFK27fSr+042K7rJ6f7D8AAXna2Y9OV6sZ1HYqSBdmada5S2I5DR1sHJTlliPJxbQPtYtu2bbjSpaq6Et0wPFmloqW1hY6OTmqqqrOVR/IFKSXt7e0sWrSI8vJSxo8fSxCCopRg5cqVbN++gzPOOOMAcvbkjnhjXiDQEeig/ErUSnj1+bW9twr+66kYHXzT85IMskqU/7+uiX3ayIQQvPLKK2zYsIExY0Yzfvw4SktLiMdjftGGPl5rAQJFLBqlvbWNJUuW4touF15wAdFIlHlvzGP+vPkITcsWbd3nlVAK205zxx1/oqS0hPPOPZeamhpsO01nZyczZ85k2fLlfPxjH2XatGlouvEuBtC/+xgA4fkFKjMp2ts72LhpI2PGjCEei6HrOq4raW5uY8uWLQwbNoyysrJsQGY+oJRk+45tLFq4kEmTJlFZWYnpB4o2t7Tw9pq1JJMFNNY3UJBIogVmiwFoYrnIqvR4hTdTmQyJWAwlFbrore/si/va2tuZ/fJsOjs7OOcDZ1FcUIgC2rs7WbFqFa++9CpXffpKCgoKsoUKBhO5U5Y5c+awcvVKLrr4Q4wZMxZD1+ns7GTegvk8+eSTfO+736WirDJvml5QmGHnzp3ceecdjBkzmoKCS6ipqUEp2Lp1O/ff/wArV67k/e9//37tVb0h0DUDTTMRQkc6ktaWFi83V0o0oZOrDfp/+VsGGrE3uIJwQq+SMtkCDIKerJHc8+khQIHrSu6//35aW1s4++wPMGXqcUwYP57SkjKKCgqJRqMYhuGVpPdzi4fX1HDqyafw9vK32bp5C+vXrKcgXsCKZSuoHT4c25VMnDiRhF/7cB9XFild1qxdw8ZZ64lGTD74wQ+i6wZz5szhr3f9hcrKShAKqVx0Bnpd8wP9hhtu+P6BVlJK0tXVyZyXX+YnP7mZhoYGysvLsSIWqe5uFi58kx/+8IeMHj2aurq6vBKelJLX5s7lf376U1rb2hg3fhwRy6Kru4tXX32Vn/38f0EIJk6c6BW5FNmuEQc9x21vb2fevHm0trVzyScv8fYlIGi9s1dYXh/s2LmD+x+8n4cfeogRIxqpqaxCKsnS5cv5xa9+xeuvvcb5555PIpHwBvMg527mHmvjpo088eTjrHh7Be8/7TRsx2bp0qXc/ofb6eho55xzzyUZS+Zdw7Msi+bmFp5//jlS6W4mTJxAR2cX99//APPnz+f8889n8uTJ+9VqesO7k64reWn2SyxauIDJk4/h+OOPw6uy5eJKG9exUfh/uxkcJ40jbRw3g+PaSOkgXQcnk8a1MyjHwbHTKOn6M5KeQqSO4+A4Dq7rIqXEcVxKSopZvPgtXpz9IsuXL+O1115j7mtz2bBuPQLPqWIYBgKviENQdkwpxaOPPELGtpk+fRqJZJJnnn6GeDxOXX09H/nIRykvL886Lnqft0ecmq4xduwYFixYwIuzZxONxdm2bRs/+OGPKCsr47/+68ucMH06AIZu+Frt0FTzBsRMSklMy2Ts2DEkEnF+/vOfc801X+Okk05ixYq3+cEPfkB1dTVVVVUH8eY8PBACJk2axIcuvIBf/PJX1NRUc+GFF/Dmm29x2+9vp6iomIsv/neSiaRvbzi0nNPgDexVzM34fS2EX/lDDUjTqa2t5Utf/jJlZaV869pvcf1111Hf2MBtf7qdHTt28LOf/oyampqeklODjNwp1plnnontZLj1d7dy4003MmPGDG6//Xbq6uq44YYbKCkuRmj5HeRSSqLRKJ/85Cepqq7ghRee5db/u5Wmpj2kUjaf/exnOfXU03BdeUjjVGheWaqOjhb2NO9CCEFLawudHR04tk0sEaejqwPbdlDKKxWmlMTQTTQBTsom1Z0GBELTPRMIEs0w6UilEZr3OCYSCVzXJZ1O+yXrbdra2lizZi0gaG/voL29na1btzP/9QXc9Ze7qKur46KLLuLEGTOYPn0aJSUlRCIRxo0fT3V1DU17mli7di2ZTIZ58+bR0dnF7X/6M1VVVcD+nSCapjFyxAguu+xSfvnLX/L1r3+dWCzOiBGNfPvb32TatGnohu73bDmUOzd4GJCXVgiNaCRGfV09t9zyM374wx/xf/93K8899zxLFi8lFovxve99j4aGhp7uT3mDoLS0lI99/GMg4K9/vYtnn32W1pZWyisr+PZ1/49hNTVETLN3DTa176nnPo/Ux87ipZrmpkP1oL99a5pGVVUVl116KZUlpfzvz3+BLR1GjR/H/7v+eiZPfh+WZfV6OAf72rqui2EYRKNR3n/66VhRiy9+8T+ZOfMhxo4dwyWfvISysjJvuqb27dQYDATXKZFIcPrpp9PZ2cp11/1/2LbLTTf+hBNOOBFdP7j8177ex5bWFu6662/Mnv0SILDtjFce3rIYObqBlavWks5kMAyv8kw6nUFKyYi6WixNo2n3HmzbwXFskok4QmhY0RgYERypsiSXe3zXlUjpsn79epSU6IaOYRhEIhapzm66ulO0tLYxd+5cFixcyObNF/KRj3yE4pISKioquOJTl/Pb3/6OB+5/AE3XSaczNDY2Mm3aNAoLC/uJMujtqfZs3hpjxozmmGMm8vrrb5BKdTNq1ChqaoYRjUY9+zJ+taCeX0MOA/DSBsUrXaKxKI2NjVx66aX89Kc/5a67/kZpaRnXfuOb1NfX+280dRDThcMDXdcpKyvjYx/7GC/NnsPs2S9RVVXJZVdcwciRI71STn6VYDHA6Wcu+rbo8xwlEoIik76xOnfY7KuwgGWaFBQW0NDQwK7du9jT0sq0k2bQ0NhANBZFY3+FKg8vAudOcPxEPE5FeQVdXV3YGRvbttE13as/ZwZToPza8IKKyE27m1ix4m00zaCiopRdu3axZ88eqqrM7PgcqKw92rzEdSSJRCH//pGPEo1GsW0bDUE8mWDk6EaWLl+GnclQUFCA67p+M6M0iViMkqJiNE3H8fubGKZOIpEkGo2TKCxBSr9ZUyaDrutZp5vrSrq7u7njjj/zwgvPo+s68XiM0tIS0skUiWicYydNYuqU4zh20mRGjxlNJBJB4N2zs846i3vuvoeVq1ahCY1YLMaIxkYKCwowDXMfY963QPqZJW1t7cx+8SWWLFnKhAnjKS0tZ+XKlcyZM4eCZJLKqsrAKJmNXRyKGLCxTWgaSnqJ067rEpQMd12X9vZ2bNsmFovlPRYnKExpZ2y2bt1GW1sbNTXVRKMx1qxZw9YtWxlWOxzdj6B/BymWgDeNSqfTpNNpohELXfQYpwey33Q6w+bNm3n88cdpbGxklGmwefMmXnj+eQrOv4iK0vK8uflzY626u7tYt2Edr7z6CuPGjWXCxImsW7eOmQ/NpKSkhAnjJ+Q9jF0pT0NavHgxjz/xKEuXLuUrX/kvhg+vY9as2cycOZMTTzyRGTNOOqTrKaXENCOMHzeRyy/7NFbE8vKohddr2IzoHH/8NBzX9mxZWqCdeaX2vWZKhhfm4k8pPG3NQtcMhNCzz1RgU1NK4Tguu3bt5F//ehJd14lEIpSXlzNiRCNjR43mpBknMW7cOCqrqihIJjEtK3t+uq4zZuxYKioqWL1mDVJKYvE406ZPw7IiAxrzUrr866mn+OtdfyMSiXDttddSVFTMrbf+lvvuu59UqpvzzjuP+rp6EAIxhNMZBiyakoru7hRvvfkWd/z5TkzT5Korr2Le/AXcf//9jB07lhkzZmBZ1uGU94AQAlKpNGvXruWXv/gVJSUlXHXVVaxcuZJnn30O3Yxw1WeuorS4FM2y+le9DgKulLS2tdLR2YFllmDoOX0pyNHu+zlMOp1my+bNPPTgQ7z88qt89StfoXFEIzMffoh7/n4PMiO5/JOXEYvFsgUnBxOB1iSlZNOmTfzpT39m6bKlXPuNazlxxgweeeQR7vvHfdx/3wNc993vgdX/eQ4WhBDs2rWLP//5zyxdupirPvNpPv2pT2HbLsVFpfzud79n/vz5TJs2HcsyD4r0vFLyXmOf+oZGEokCTMvC0L2pq0IhlSQe7wnZyg078dbxpnyG5ffUlQpN132HWU+NveAFF2TzaJrGsmXL2Lp1C/X19cw46UROPvkkpk+fRkNdPQXJAoIQmuA6BBEEQteIRmM0jhjBlm3bcV2XmpoaZsw4iUhkf8+qyn5mMjZ/u+tuNE3nS//5Jc4++4MIIYjHEvz+tj8wa9ZsiotLqK9v6NW4fChiQDY8pQTptMOa1ev46levoaqqmuu+9/+YMmUKa9as4frrr+eHP/whN998MyeeeGJep7Suq1i5cjW33PILtmzZxm9/+1smTBhPa2sbdXWN3PLzW0hEo1x66WVUVlR44QUcutlBCIEEbKFQmmfY1pQ/4IQXbrCvEnI7t+/gt7/+DbNmvcD119/A2WefTTQaZfjwOu64405+/tNbOO3kUxk1alT2RTKYGnSg3ZmmyaxZL7JyxUo+8dFP8OELL8Z2bD7z6c9QGC/kscceY/euJuKx/YU3HH4IIbIzjc9+9vN89rOfBcCy4PTTz6C9vYNZs2axdesWRo4cuQ9ZRU+MiACQuK6D69ogJJoBZkzgkMbSdZQWeCQ1NP8zu2nw2R+v9qyaRd+0rUA+KR1aWlo466wPcvzxx3P66acf+Fr4+3NcB6nguuu/z9srVgCeVnnaae/PmqD2B6XANCNcfvkVTJw4gQkTJvgRAzonnngyo0aNZdWqVVRUVIDy4xS9LQ8oYz4wwMBjiW3bNDe3UFFRyXXXXcfYsWMxTZORI0dy44038qtf/QorR5XOF7xOYhYjRozkP//zS4waNQrDMCkuLuZDH/oQkUiEuvo6EvH4uyaryMYZi5xYLA/7C+8rLy/nnHPOYerUqZx11lnZKPrq6houv/xyhg8fzvDhw/MW5iOEyDbcueiii3j/+99PVVUVSikM3WuCfc455zB9+nSKioryHHDukXNtbS3f+c53iEQivZbrus5ZZ53FySefTGFh4UHJKoRX9Tho5LNly2Y8DxXk6PGHBYGWfe6552bDbgYKb1rsaaBBO03XddB1A8dxBmQqCeI/L7roIgzDa16eu01xcTHHHXdcdl/5fv4PhAEXANU0jfHjx3PTTTcxcuTIrEHVNE0aGhr4zne+Q0lJSd7TSqSU1NbWcvXVV1NcXJwlkcCRcdFFFwFkE/4PRda+EfFB5kEuswkhPO0OslH1fRGNRjn99NPp7u4mmUxmpyKGYVBbW8tHP+oZxnOns4PttNA0Ddd1qayspKKiAiEEmUwG0/SM/wUFBSSTyaxs+bz3QoisfatvzKJSikgkgmVZWJY1AE20J2w4yJkuKvR6/qZSKc/Olp1G9tLn3nV4Toq4d4SDuMbBOA3O1XtxRnqR3UD3lWufz93Oy1jSslNxx3HyFkY1EAxIdRBCEI1GiUajXlQ1PW0KgzfAiBEjsuvmE0IICgsLKS4u3svLGAz2IJ3mUGXNNeYDRCMRorGY1ymrH5VuX0fRdZ1EIkEikciSS2C3MfwuWcH3+SCT4HhB/13oIcHggdF1vddYyBcCWYB+Y+xy7/fBZFkE+1ZK4riu56n14/ikUgjfK3m4kHtevbMvBoZcMsp9oR7s/QrGZt/nJthP38ICQxUDIrx9DaD+/s43+jPu970B70Y5p9zBp+s6lulPNQQH5QjpK2vutR4q17Xvw9F3POQ72DzA/q7XO5VR+sRmGDq27U0LB+uxznVGvNPtDoWM9vei6HuMoUx2cFhaWx1tULhS4boOSslsHF7vNUIcqcg+wEoRjUaYMGEckYgJHElVj0MECOvhvUMopbAzadLpDDHDRGrCCxYOlvte2vAqHykISCxb2jg7DZSuYvPmbZz+/lN9T67307vJUHinhzLCrmWHgN6ZFl4Ac9au5bvltQE4LUIMVfSuo+c1KJcgdFpb29mwYQuaZhC0wuz9DIV3eigjnNK+QwghvAh6vyxPv+sMrkgh3mUIP3tGugrXkaTTNofe9zdEPhES3juEEF6wcW7Nz1Brfu+h7z0dCsVuQxw8QsJ7hxBCI2JFMIOATD+BOsR7B32b9eQWRg1t4EcWQsI7BOS66SMRy/PQSplTcSV867/XEOQU5wbshmR35CEkvENEUJk2nc7Q1dlFdyqVLdcdTnPeexBCUF5eTiQS6ZXUH97rIwthWMohIghw1jWNWDxONGKB5iUjSbwHQvm5tXKv+sc511zkfhu0eRH9/r8X+jZCyO5TkU2L6rW9n9Yte5LjcyXz0qj6joc+qSP7Gy4H+ez3qje5r80P4ngHvF577Xoflal7VZLwy/ZrglgsRiwWIxqN9mpbGOLIQRiWcgjItd1omoYuQEkbx9X9kBRfcRZepRmdntxCqVwEMls2SCGzYS1eHTR6Ksfildf3egT0pi+F5lWmUD1mw55bqQAX6ZchVkGeux8qppTnUQ7K0kvpNWqRUqIbORkLSuFK1zsfAUIFXd6CmDOytf+kVJBbqVcTCKGhpFf7TUnlfSrl70/Q0dGRzeuMRCIYpoGdsRGayHq9uzs7MQ2dTCaD7TfADqaWrnTR/BL9rutkj+e4LtL1rpuUXnuCoDJI0CtC0wSmaWSrCfdUKhEIV2VfaLZtg1LYtsPKlStwXYfRo0dnCS90XBxZGMKl+oY2AtKzHZvt27cxZ/YsKior/X4EDulMGtPwktQtPYKuaSglydgpbCfjd37PIBXohkUsFqW9o8NvBCQwDa/vZ1d3J4Zu4CqJ49j+wb1c21Q67RGAK1EKdF3DNI0seZqmSXt7O0qqrFZiOzYFyUI6O7uIRK1sqlSQEK/7rSZ1rSf3Uvo9TTySk7iOH2CbjagWRKwIrgQ7Y3slhSyT4qIi0pkU3d3dpNIZdD9WMSiJvnnTZrZs3UyiqJDa+jp0TaO5pQXTMIjHE7iOw7q1qykvK6OpqYmuri6a9zSjG15ur5NxifitIdva2tB1nWQiye5duxG6QAhFKpUmWZCktLSUrq5OUuk0mXSGeDxJMpkkk0nT3dWNbdt+iJEGtiJiRYjFYjQ1NeG6EiVdVq9Zg9B6useFGt6Rh5DwDgG5RRPi8TgtLXv45rXXMnLkSCKRCN2pLto7OohYFolkHN3v4iQ0ie2kSHWn0Q2TdDqNdAXRSJxEMkFnRycZx+tpEI1EcVybdCoDeD1s7UwGR7o4aZdEoUU6naazqxPbtkl3u8STFkVFBWjCRGBSUVHFmlVr6OzspKKyHMd26OzsoLK6hN27d1NWXoxpWXR3ddPV74UuTgAAHyRJREFU5fXHTXdLhD8sdF2nqKiIdDpNUUkRWC5p2U1rcye6IXClAwqkoygvK0GlHdpaunFsh0gsQs2wYQjNoauzm9aWNqLRKIWFhWzZso2SkmLq6mpZs34tyjKoqatl8ZtvoRveC8IwDFJ2N65jU1lVQUFBIS3NzXR3pUgWJOhKdaG6BJaIkIjFSafTtLa3cspJp2AaBrqpiMY1Um3NbFiyivKKchLxGOlM2qs8ohI07W5COi6WZWHqXlEJ23GIGt6LoLW1FU3T0TUdw4wxadIkotEYkycdN6BaciGGHoTruuFdOwQEXaWWLlvKgoWvM3biSAoLC9m+bTvd3d00N+8hFosRTyaQrgsoksk4mu5NPevqaunq6saxIRbztA1d09iwYQNt7e3UDBtGe3sr1VU16LruNz9XdHZ20t7RQTIZwzR1FF6JLseRfo4nCGVh6HE0Tce2bYLGzyhw3QxCT/vTYE9DDTRIUzOBaJbwBCLbiUzXNdAVLjZSSX9f3nTXa3KuMISJQHjTY0VPHT/hLdf8qr624yDwSjllHAcbiW6YpNLdvl00qPjrgpIIw9O8lPS0TV03PK+4o2EIM1vJw3GcbA9fhYPQvGY5mbRNJGL5lUM826plJrypvvLOMWu2U/L/b+/co6uo8nz/qarzyoOcvCEvEgJBkGeDgIIOAnZra7fOmlmz+jpe7daxdezxOm2raxRXg2M72k73Wn3v0usVHwg24eELEEHeIaF5RWiRCBiQECEkISQh75NzTlXt+0edOjmJSYioqUOnPmtl5VGpOr967G/tvX+//fuBLhChgvPmy804ZwmQcTicXXO4UZ4dxKY7kqqqtuBdJkaBcj+d/nZcHhlZlkLeWy2cMkmWHWhCCYuHJBuJvp1Oo9Ei9HDjkSSjxgUIZFnpnsoHsz3qaLqOLDuQMObCJMmIeu5qeEbD7MXg0MybHha8bkiSccxeJvKlUGS1pPf0IxjDWmNpaVea8m6ujp6HE+bHhUI7RGjeMhzvZu4UGjaH/iZC52D+IiQwp0vNimld849d98i0JTL1fqRGSaEU7V3oxsf2qmMyCPlr2YltrgzsHt63xpjXIuSZ/fpWGb3bzIHZiI0vSeiXiA3qq+UpIPrYUzL36+uQct/b+9tXl5B6P01EjwSoAybycvR6XNF38JREWBB72bH/z+1rP8BYN9vfcaMjHZbNN8eew/vWmL2p/lqlSWTr1kO5NhQuTykulYalv2P2oVrh/foI1ZB0dKVPxbu8Ho8Eej/ao0uiT/GRUXoPK4HQPlrfH3rZomX36q5kbMH7LhB9iASEYt1MkdDpSiFkxIAZQ8XLiP+WQr3K3j42InVRLxvps5sGIVt6s0egSzq61LuISAKUy4hjFyFze+uQGVepj3MEJF1CEr29MMxz1Pq+Pr3uZ+4r9fEi6ec+21wR2EPaQeBrc14hvkmQ7ECO3J1LHbevffvfT/TzmZd7Jpf7APbZuxvQkfvb9/KujU30Y/fwBgGpn9++yyMPxr6XFpnLOeb3xeUe2Ra2v1XstbQ2NjZDBlvwbGxshgx28gAbG5shg508wMbGZsgwIKeFsXLIzA4ifW0boSwY0ZE5wsxkIiIWw0ekQIqIf7De1i5/oHn9zAwnEhJyRIZdq2w1V4wAoewvoOlauMC5CAXROUK/m6snrLLXfE5F2HYjI4yqqoCRCcYRJfV+oXvmHSC0pE7v9rv17cpYatdF9+vXMyN0NLSrvhig4BkpeYQAXccoQiyZ2wTBYCDcAMylUFah6zqqFkAK/awoXbFTpv1gNACHw2FpEWkhBKpupIpSZBk1lOLIFBmHLKNrWviBt6IwtyzLqKqKrCjomo6qG3F4OsZV1TQdRZYJalq4GZjV7gf7OdA0LSwWkiwbLw9hWGrkJtSNdFUCnIp1omemqQJobW1F13Xi4+NDa6JVhBA0NzejqiojRoywyMrwYkaE0OnwtdHa0oLT6WLYMC9CSOEUWc3NzQSDQVJTU43EDFGMsnjx4mcu9U+6rqOFFsCralevyezdaZoW2m59FlghdNrb22lqakJRFJwuZzg/nS50AoEgmhZqFCERscpeVVVpa2+nw9eB2+1GkmW0kKB0dHRw9swZYmJiwjYO9pve7H3ous7FxkbKT56g9vx5kpKTDfEV4Ov0UVd3gZrqarwJCd3EbrBtNXPdlZWVcejTv5KYlEhMTEx4+5mzZ9i5Yye1tTXkjhxp6ctO0zSCwSDvvPMOW7ZsITU1lbS0NFRVpb29nU2bNvHRRx8xbtw4EhISLOwxG8Hf5eVfUFhYSHX1OfLzR+NyudE0jb1797J06VLKy8uZMWMGLpcrCnqkfaMsWrRoAIKn0dHRTkVFBZ9/fpT09DScTkdosXsnVVVVfPbZZyQkJBAXF2d597uy8jSFhStwuVykpabhcBqpfC5ebOIvu/dSV3ee5OQUYmJiLLW1rb2dnUVF7N+/n7Q0I5eeoig0NDRQUlzMqpUrmTxpEgkhIbHCVlP06hsaePvt5ewsKmLy5MnExcURDAYpKytjw4cbOHb0KD+YOjX8wMPgDm2MRA4BJEli586dbNy4kZbWVjIzM/B4PDQ0NvD+e++ydu0HJCcnM23qDywTPCFEuERARUUFW7dupbm5mby8PHw+HwcPHmTdunW4XC5mz54dzgAzeHRfDimETiDgp/L0aQ4eOsSwhARiYmI5e/YsS5Ys4cSJE0ycOJFZs2bhdDqjVuxgoIInNJouNvLWsqW8/vobjB49iuEj0tF1nXPnzvH662+wY8cOrrnmGlJTUy0ZekVSVXWW9R+up6ysjLT0NJKTk2lva2d3yW5eeOH3SJLM1KlTiY+Pt/TmtLS2UrK7hLfffpuGhgaunjABXdf59NNP+d9/+hP1F+r5+zvusFzwZFnG4XBQV1fH5s2baWhsZMzoMdRU1/DKK6+wf/8+fvLTn3D1uPHd3vCDaa/ZW3c4HAwfMZwL9RdYs2Y1siwxMjeHfXv3ULiykNzckTz00EMkJiRadu/NeTqXy0VWVhYxMTFs2rSJ8+fPU11dzdKlS0lJSeHhhx8mPz/fAmHuIXgI4uJiyMgYQX19PWvWvEvl6UrWr19PRUUFd911F3fffTfDhg0Ln1+0MoClZQJdqPh8HZz68hS/XbSIlpYWHn3012RnZVFYuIrNm7exZMkSJk2aZOR1s3ReTCMQ8HPy5AkWP/Of+Hwd3HfffXz11VcsX/5nJk2czHPPPUdGRgYul8tScRZAXf0FPtq4kReef57/effduN1utm/bRlJSMr975hlyc3PDImLl8FsALW2t7N23j4f/7d+YNWsWx48dIy4ujseeeIIf33wL7ih5uwsETc0XWbd+LU8tfJof33ozB/aXMmnSRH7z2G+YOvUHuGUXVoahRqaI9/l8FBUVcc899yCEYP78+TzxxBNMmzbNyIVoSc69yDk8jaAaAHS+OP4Fzz33ez76aBNOp5OHH36YBx98kIyMDHRdx+12D7Kd34wBOS2M+gCCkblZvPji8zzyyL/z8ssv4fcHkWUHf/jDH0LZYD2WZ4E1eyS5ebk888xiHnvscRYtWoSu60yaNInFixeTkZHRlZzSYhK9Xn70ox/h7/Tz8ssv0dTUxIQJE3n88cfJGzUKt8sVqsFgba9ZAjxuD6PyRpGdnc3OHTtoa2vj148+yg033BCqYWG92JnExcUxecokYmLdbN26lc7OTn694BGuumosUs98fRZg9vLMobiqqgSDQRwOB21tbfj9fgut647xspXQNWPO9mLTRSSpy2nR2dkJEM4CHU3PQU8G1IpkWcLhUPB4POTmjmTChAmcOHGCo0eP4nI5mDlrGi63giTpobAVK0VPAknC5faQm5tHgtdLXV09TU0tZGVmk5GRgdNpZAaOBnGW5FB9Bk2lobGRpqYm/P5OIymo0uUAsNJW03HhD/ipqa3hRHk5AC63m8OfHaa8vBwp5KywGiEEuqbT1tZGTU0tbW0dJCWlEBMTS9GuXZz6ssIoOBQFSJJEa2sre/bsYdmyZcydO5dHHnkESZJYuXIln3zyiYXWdV0jIUDTBCdOnuSD99fRUN/Afffdxx133MHRo0f58MMPOXv2bFTc/0sxIC+tEDq60AkGglRVVbFmzTtoms6wYcNwuhyMuyqftPQk3G4ncqhaFX1kzv2+EYCm61xsambTps3s3FnEiIwMhiUk0NbeQcaIEWRkZISzDFs9pG24eJE9e/fwxhuvMyp/NNfOvo5AMMCF+guMyssjPuQEsmpIa77F29vb+evhwxSuXknd+fP8wz/9E/NvWkB1dTXHjh4lMzOT9NTUsDhbcV3NaIKGhgb+smcPK1evJjdvFA8++K+MGpXP8ePlVFVVk5c3itRk6+aaTadFIBCgpKSE1157DYCnn36aefPm4fV6KS0t5csvv2TixIkkJiZa+Jwaz1tdXR3Llr3N/v2lzJ07jwceeIDp06dTWVlJaWkpwWCQCRMm4HQ6LR+N9MfAwlKEht/fSXVNNUuWvM6ZM2e4887/wYL586k4XcHefXvIz88lKTEJt8uDLDvoErzBVX0dQX1DIyW7d/Nfzz9Pbm4ujz76G8ZffTUH9h9g/759TJw4kaSkpPDNsaoL7uvspPSTT3jp/76Ez9fJM88+y09/+lMkWWbDhg3Un69j/NVXEx8fH5EGfnA9n2ZMYE1tLUteW8LeA/t55N9/zT0//wUzZs4kLj6ekpISyj47woL58/F4POH9B9tWMETv5MmTvPnWUnyBAE8tXMisa69j8pQp+P0BdhWXoKkas2bOwmnhtIamaXR2dvLmm29SW1vLPffcw0033cSwYcMoKCjA6/VSVlZGUlISV111leUi8tVXZ9i1q5iCgrE88MAD5OTkMHz4cLKzs6msrKSyspJrr73WUgfbQBiQl1YInYb6epYv+zNr3nmXXz30ELff8fdMmTKF8eOuYseO7eza9RemTp1G+vARKIqzR1LLwRM9TdPZs3cvLzz/PIleL7/73XNMmzaNgrEFjMzNZcvHH9Pa2sr06dPxer2W3piamhoKV62kprqG3//+RSZPmkyi10tmRgZOh5N1H6zl6vHjycrKsszdb5ZVPFdVRU1tLfPnzecXP/85bpcLj9tNXm4eebl5nD5Vwdy/+7tucYODjdmzbGpqIjYujnnz5nHNjGuQJYjxeBidP5rRo/JJTPQybuzYUGEka9A0DbfbTXZ2NjfddBNz584FjJeE0+kkLy+P6667juTkZJKTky0P5k9OTmb69OnMmTOH9PR0FEVBlmWSkpKYN28et9xyS7gTEa1iBwNMAKrrGi0tTRz66yEaGxtZMH8BsXGxKIqCGgxQda6SEydPMX3aNaSmpuNQIj1gg9vD04ROTW0tR48dIz8/n8yMTJxOJwJBR3s7Z05XEhsbS1ZWFm6329K3UTAYpLq2hpbWVsaMGWMsJ1OMlRa+Dh/nqqoYlZeHx+OxbImRuXLB7/cTUIMgScTFxYV7frquEwgE8Ps6SQoNvawc0qqqanxpmjE/6nahhO6xqmmowSBC14mPtTZe1LyugYBRhtPlcoVXWTgcjnDBcXObtcH8wihITlf4DxCuf2xi1kK2ujfaHwPMeGxEsQcCflRVIy4uNuKkBJoWwO8P4nJ7cCiO0ByedeETAc3weDmdzm4hMkIIRFA1Ci4riiUC0hNV09B0DafTZS5MNtas6sY8j9PipXomZvUvIFTyyywL1vU/crTYaVY2M5EiKpOF7I0GW6H7Oum+Jv2j5f4D3WztzZkWDbb2x3eQ4j1yd+tPVgB6P2bIIhqstLGxsYJvP2vbs4BNtwpT1kQ79eUq6bcyn1VcyqZoUmfbVpsrnG+QAHSABVNExM8WxuP1aW1/lQ0tot9yMlFmrG2rzZXMN+jh9feERFeVp6jsyfXDlWSubavNlYyd8djGxmbIEL3+YxsbG5vvGFvwbGxshgy24NnY2AwZbMGzsbEZMth1aW1sbIYMtpfWxsZmyGAPaW1sbIYMtuDZ2NgMGWzBs7GxGTLYgmdjYzNksL20NjY2QwbbS2tjYzNksIe0NjY2QwZb8GxsbIYMtuDZ2NgMGWzBs7GxGTLYXlobG5shw3fkpY2uFO823xORZSQj/iyBUczJvt2XiXk17Qv4ffPtq5Z9jZ7iZ9/Evy0EAql7Ew0Xboq2e91dlnuWq40GukZYofqhwriORs1XY0s02Bw5Euyrk9Szdm008g0Er6+T0ENfPREYU4RWnHy/9aoGzYqB05e90WSrAGFInS4JtJDJighNBAsQktLfAQYVIbSIYtEgREhEdAlJAsni2Wtd18OFrDVNBUlHURxoqo4sK0YxewG6AEWRLBU9IQS6rod/NovYm7+bQmf+T+T2aOM7qFom+i4TZtn8YDQJxUC4MuyVJEG4JxL5PAuIrt6deT01jDaoYPbwEAIhQJGttTdSEBSHgtAFoCPLhrjpuo4UnjuwzlYhBKqqIssymqb1KmSmIKqqisvlssDKgTPA95y4xFc0cSXZCleSvZEWycL4Cv89ympjBgIBOnwdSJKEJIlQj0+j09/JxaYmdN1ae82eUSAQ4GJjIw2NDaiqGvq7IXgtra1UVVUhRG8jqMFBkiQURUFVVY4ePcrBgwdpbGzsdh5nz57l0KFDnDt3DlVVLbN1ICiLFy9+5lL/pAsdITR0XcPv70SWJQQ6uqahC+NNFAwGw+rf/S3Qszvw/SKEwOfroLmlGafLiSyBpqsIdAL+AA0NjeGbaDQG696e7e1tVJw+xfEvjjNieHp4mKXrGg0N9RQV7SImJhaPx4Msy5YPE74oP84nhw6Sk52FIitGb0nXqT1/nrVr15OdnY3L5bLkukYOrYLBIDt2bGfHzu0UjB1j3GtZorWlldLSUt56aykTJ04gJiamj2f2+7fVpL6+nmXLlnH48GHGjR+H0+lClhXOnath9arV7NpVzA03XI/D4bBkWGte187OTlasWMHq1atpb29n3LhxOBwO6uvr2bhxIytWrEAIwZQpU0K2RlOPvwtl0aJFlxQ8oat0+Nqprq5m584dJCUn4na5QuLio6qqiuLiYrxeL3FxcREnK4EY3MkSXdco+/wI7777LsOHpxMT40FRFHw+H+Xl5SxftpykpCSSk5Mtn2tobWvj3XffYd26tQyLjyclNQVFkak6e5YNGzawctVqsrOzycnJwel0Wv4Qrf9wPW8uXUpKUhLZWVkoskx1dTWrVq/mzysKmT9vAcnJyciyNRNk5rxYMBhkV3ER6z9cR0dHGzk5ObhdLo4dO8Yrr7xCRUUFP/zhD/F6vUiSZJm9AB0dHezZs4et27bicrkYPnwEPl8nxcUlrFu3jrS0dObNn4fDYe38qN/vB+DkyZPs3bsXWZZxOp1s27aNnTt3kpaWxpw5c8jNzcXh+B58od8RAwhLMRReU4N8+eUJXvzv/+aBpvu57bZbSfQmUt/QwLLlyyktLWVExgjS09O7TlhIg+5iEkJQVXWWtWs/oLn5Ivf+4hekpKZQV3eBt99ezvZtRcydeyN+vx+Xy2Vpz8npdDB+/Dh27y7hP599lqefforRo0fz0Ucf8f77a7nh+rnk5OQgy3K4MVvXOAWjC8bQ3tHBfz33AjkZWaQPT+f9996jcOUq8kePJiUlxfjPkLNgsHtN5pfT6eSmmxZw7txpli1fRmxcPLOvm0Np6QFqz9fw0L8+RHZ2NoqihPe14rrquo7X6+Uf//EfqD1fzWuvvU5Huw+Q2bZtB1nZ2dx77324XNa/7JxOJ3PmzCExMZEXX3yRF154gZkzZ1JWVsb111/Pfffdx4QJE8I9/GhlQENaITRcLgeJiYmomkph4SqSk5NITUlm2/btbPjwIxYufIqpU6YSExuLLEdOtg72g6Tj9cYj0Hn11ddob28jMTGRVatWUVp6kMefeIJ58+aHhzNWCp7L7SI7K4Pc3GxWr1nNkSNH2LGjiJKS3UyaOInnnvsd2dk5OBxOy20FSE5JJi8/j6Lt2/nq1Gm2btnKruISJk+byp/+z59I8iYhK0rYzsG0tefnJSUlUFAwinNVNZw7V81LL71MfX09Cxcu5Jabb8Ht9oSFGbBE8DRNQ5ZlUlJSGDNmNPv27WPlylWUlOzm1ltv49lnn2XEiOHIimKpl9Z82UqSRGJiImlpaRQWFvL555+Tn5/PY489xvTp08PX0Oqpov4YkOCZvTyX28OUyZNpbm7mgw/W8/HHmzl16hRPPvUfXHPNNcTGxqEoDsOlHvKMDbaHSdc1HE6F/Px8kpOSWLX6XYqLi7lwoZ5f/epX3Hbb7cTHxXdrlFbdHCF0JAmGJQwjMzOTDRs2UlFRwZgxo3nyySfJHzUaSVK6iZ11D5KEojhIS0llbMFYlr/9Zw4fOcK4qyfw5H88SU5mDk6HAznimg52D0/X9S7hkiSEkGhubuHjTVs589VZCgrG8pPbfoLXm4jSQ5itmHOUZTk8ya8GNI5+fpzy8pP4Ovzk5+czc8YMvF4vssVhKZG0tLRQXFzMrl27yMzMxO/3k5OTQ0FBAR6PJypezP0xwNeaIVyyLBMfP4wZM2YQDAb49NPDBAIBCgrG4Ha7kGQz2l7GCrEzbXU4nMTHx/ODaT8gEAhw4sSXdHR04PUmMCw+vus/LX4TSUhIkoy/M8CxY8fw+TpRVZX6+gaOHCnD5+tE1zV0XQ/HOFmJIsn4fX6279jJhYYG/EGVmpoaPi/73LjbUSDMuq4jhKC1pY2ysuOsW7sBSVK48cZ5XLjQwFtvLaeu7kJYaKyyNXKaora2li1btrN3736uu3Y2c66/nmPHjvPGG2/S2NjYzclhBWa8YG1tLe+99x7vvfcet912G3/84x+ZNWsW69atY9WqVbS0tFhu66UYeA8PwyPX0trC5s1buHChnuHD0wkEgrjdLnLz8ojxeCJ6eFYJnk5HRwcnTpxk+fK3aWlpYcaMaxBC0NLcSkHBWBISEsLzN2BlZLjgzJkzrF6zmnXrPmT27OtYsGA+fn+AgwcPEQyo5OXl4fF4uvVIrKKqqopVq1ZRWFjItGnTuP322/H5fJSWluLxeMjLy8PhcFhmZ6SX9tNPP+XVV1+lqamZ+++/nx//+FZaW1vZu3cvtbW1TJ48mdjYWMu9tK2trWzauIn33v+A1JRU/tcjDzPvxrn4fD4OHjyIJMtMnDgBh8MaB5tpqxCCoqIi1q5dS3JyMg8++CAzZsxg5MiRfPXVVxw6dIj09HTGjBljuTOwPwbkpcUUu5YWtmzZwqaPN3PXXXdy6623oWkq69d/SFJSItk5OXhiYpG7RdwPruJLElRUVPD/Xn2V4uIS7vrnf+bue+4mPn4Yf9mzh9a2diZPmozb7e4melYQDAbZuXM7y5YtJysri4ULn+Lmm28mMzOTAwdK+eyzI4wdOzbspbXSmwhQVFTEihUrGDFiBL/97W+5/fbbSUpKorS0lOPHjzN79mwSExMtva6yLBMIBFi/fj1nzpzhl7/8JTfffDO5ublkZ2fT0tLCwYMHmTFjBunp6ZY3zpaWFg4cKCXGE8u9997LtbNmkJubR15eHr5OP21tLcycOdPSgF7TGVRZWUlaWhp33nkn06dPx+PxMHz4cHJycpAkiYSEBK666irL21V/SKqqXlKRhFDp9HdSduQITy1cyG8efZRrr7sWr9fLhQt1rFmzmh07inji8SeYNes63O4Y8/AMfvCsoKSkmCVLljBhwgT+5V/uJzU1hfqGekoPlHLgwCf87Gc/Y8yYMeE5B6toaWnm8OFP+fLUSa6fM4eRuSNxuVy0tbVxovwEx46VM3r0GCZOnEh8fLzlD9LJkyf54osvmD59OqmpqeFwn8rKSsrLy7nxxhuNOSdZRlGUQR/emEMvIQQNDQ10dHSQlZUV7nHqus7Fixc5ffo048ePJzY2NvwSscJWMIbgfn8AoRNypBFaCme8EFU1SGxcDFYGoUcuIzN/7/lzpAMompE0TbvElRTouoqmqbR3tFNXV0dmZmY4pAMhCASM6PWEhERiYuJwKE66hrSDe6N0XSMQCBIIBJAkCbfbjSzLoTWLGpqm4XA4wm92K0VE1zWCwQCqGggFScvhuR1V0wgGtFAgqhwO5rTyoVJVNexZBMKipmkaqqridrvDjgOrh9/mvKcQAofD0WPtqhYVcY0mxpK33u+tECIUkB7dc2NXCgMWPCGMh0cXOrIkIxBhwVPVIJquoShOnA43shzpoR1swTPX9QVD4Ryhswi9hUyBi2yYViGEjqYFDRtDdkpIaLqGrgukkKfbbLBWD79MEYmc9zKvqykiJlaLM9Ct52F+tz6esQ9EP3PeUuSiPptvwwAEj5DYGV5CKRxjF9qGQNc0JFkKeR3NRmltwxQCYwlc2NbuXW4rgmN7YjRIPbQoH4wF7jpd164rrinyu1X0NnTpmTYocqhj9bXtaVOkrdEpeH0QZeuUr2QGKHiRD3Vv23vbZn3j7GvuIfK7lXTZFfk3Iv7WZb/Vtpr0Zktv1xqiQ6B73uuoztlm59H93hmQ08LGxsbmbwG7ELeNjc2QIcomMmxsbGy+P2zBs7GxGTLYgmdjYzNksAXPxsZmyCCJaE9vYGNjY/MdYffwbGxshgy24NnY2AwZbMGzsbEZMvx/QWFobPWm9kMAAAAASUVORK5CYII=)
A conducting square loop of side L and resistance R moves in a plane with a uniform velocity v. perpendicular to one of its side. A magnetic induction B constant in time and space, pointing perpendicular and into the plane of the loop exists everywhere. The current induced in the loop is :
![](data:image/png;base64,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)
physics-General
physics-
In the circuit of fig. the bulb will become suddenly bright if :
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hcAlZBAGMQRkz2AfKUgzGGoeEhpOtQHC1RHCkRKYU2oLXBIBkZLbFx40vs33+AONZoc6SIqdXmsoqnlmDyuQbmn7GAIAjYv38/5XIZIQVRHDIyUkQIgee6NpAjsMKAWhOGEUI4NBYaEcJNCsLKmtU16VdW1yGdKk4QTK1Muu1cURQTRSFxHOO53uH101O82RC1/6haLkGQw3V9HOmwbet2Nr74Cp6XwXUcPMdl27Zt3H7bbezbd4D29inMn29zrY4Gg1VzKDQ0kMvlENJK4kgpcF0Xz3OR0gYG8vkcKo4RUpLNZvE8j+HhYUZHRy1Bpn3mdZES1wTAJHMQKSSu5+M4TtLnRE0fXJI66N961FtLdk1gabSMVpp77/0Zjz/5LAZBPptnSnsb659dT3G4SCaT44rLL+OSSy7B94OjHkFg8/b6+/s5eLCbOI5xHIcgyJDL5cjnGwCB43n4vk9HRwee5xFGEVEUWX+WoSZnk+LISIlrAmBUkqclpR3LhcDzPDtye15q4J9SsDJ8juPS1TWXmTO72LhxA93dvUQKRkslhgeHmdLeTn9fPxesXs1VV17FVVddxcyZMzmWIWQtb4N0HAYHBwgrFTCGXDaD7/sYYxJxQkGhUGDfvn1UyuVEx0viui5BJmOJ6027JqcfUuKaAAgpMUqD1lazCYgilYjTaVx3cq8rOzUw3tqS0mX27Ll865v/RLlSwvd93CAgimPiMLLVCx2HlsZmMr6P73k40j3m9E1Imxg6OjJKFOnE2S8586yzeOnlV4iiuKbs4Ps+xeIIWiniKCKOI2QyrXQcJ+0xR0FKXBMCU1vVr6KYSiUkl+OwbPmUvE4tCKRw6OjoBEA6EmU0sdK4jkQKgdEGz3WT+q8muX3HsIOsoxPX98jns/b7QtDT3UP3wYNMnToFYwwjxRF27tpNc1MzCIF0HKRjI4ee69o1kTJ1L7we0qjiREAbBBqBIY4iVKzIBD6O61mfh07KgSalqFDa/m1EEnGslsZKcfIwfm1fdVBxXQfXcXGkgytdAs/Dddzae1RrvyIwr1l3Wq1orUDHoFVikEnQIJFkMzlc6TI4MMTBA91oZRJpZgHa4LgOAokUDo5waMjZhFQVK4y2BTeMSkQjan1EJ0VlJ+9AmFpcEwFhMEnvEkikEcRhTFSqYJoMwtHYWLq2ndFmq9ZGWOqzJY5VIivFr4nXDgw2bWXsc6eqcSVssqdwbAky5LgSGnXFKgzU1CIMRmu0MQijyWWzGKXQUYzRyn5La1QUo5XC9zwygY8rBMbESIEd7KRAxSHC6kBjjC0qK6QcMzNElYQnr0WWEtdEIClHhRA4rovjuBSLRX7xi58xu6sL3/eJowhhBFJKPM+no3M6XfPmJzlA9Ut/U7xZOPJKBjH+czH+kzGXeZ3KBHbg6u/v48D+fQwND7Bly0uEccjmV19ix65XOdi9m6HhXvbv38GGDU/R19dPJSzS1xeybdsrhGGFgYFuypWQBx+4j3lzF1DItzBz9hyCTI7xgqdJNu0k7jApcU0AbPEEp5YjaKShODrMTV/9B4LAjqxhKUTH4HkeTc3NXHr5FfzZZz+L43qAxFBNMkxxesFWlo6iiCcff5xbbvkBPX0H6B8YIN8Y8NKmF7n9jlvYvXs3I+UBNrz0DDf9f70MDAwxPDqClKPccectaK3Y37OXgf5h/tff/x0zOmYya8Zc/sun/owFCxYz3rpK+0lKXBMAW2bdytdkcw1MnTaNSjhCa3uBgYEBwpERVAjSSEbLRcpRmedeWE+swyTjGsZM/7RTnk4QQqCUpjQyyrNPP8NP770PXIf58+dxzdorKA6X6e7po6HQzJlnnkOxOMzg4Ciel+Oss8/F81wcNyAX+KxatYrBwSH279vPps2beP65F7h63TpmzZ5Nwfex09TxtR8nK1LimgBoI2qCgWsuuJAv3XQTsSrT1JRDCEU5LKFDbRfnCrseblpnJ57vgUxWnZmUsk5HaK2RwjrBymEFz89w5dXr+Psv/D25fL5WAdtoK32kjaqqM2OMQUqJEBIpRS3H6+CB/dz05S9w1+13EasKUVxB6RhpK3G8xWd8aiAlrgmASOaIQlpCam1vxZgYIawKAcI6bDF2GyEdlNIgPKyHxK5JG/N2pThdIKXEaFWb5mezORYtWUpTcxuu69YIq5qcbOospSiK8DyPOLa1HatrXEdLZZqbC0zraGbatDaCwEXIw0e2yb12MSWuCYFB62rZdgffz1nFSgkIkmKjGilMElUE13UAB2NsmF3U7SvF6YNqdkQUhpRGS2gTUw4HGRruJpvNIIQtNlu1rqTjJIFjQ7lSoVRJiC35ZzAMF3twPU0+n8EGnse08ic7YVVxUojraI+eONYG1X0c496IWg5N9UaO5diIZMW9GKdlImq6SUIkwmzJRyLZxtS9OaYVbyu6jIv7CVN3rCR8Lm3o3NiPrekPoI2dSiROXJGUthJCoKtzhlpHTPJzjEEIOXZ8YfO8jNEYYaxeFKCVxpFubX1cLUomdHK8sfesEEGiNGBISmy93rXlDfHniX//aBsfaw6dfDgheXDHaHQtyJj0oySSbAw4rot0HIaGh7n7nh+za+8uPNen0JgnjiKi0K5ZdD0HYwzNLY309fUThjHlUpkwjHAcF+nAyPAQfT3dlCohpUqI0mP9rbZYfMKCihOxl8PJtD5xpPp6Ygn3Tbe4jucUjudSWuERBThgZPJg20KfoBHSoIkwUttkv3qbRlsy0EqDGPNRjBGVwREOWsc2h8a4SWjcYNBopdA6xpEC4VRTeax5JYTAaI3jOmijMUaDkCitADtlkFJa+RRjLTVjjM3c1hEmqWDsOJ7NCZP2/LQyhHGFSlxCaYU0EhUr8rkCvusnkioSrSIq4Qil8gixjpACCg2NOG4GiY/WDgaBF/jHvke/Rp+udtnj7qLV6fQx93mUT5ME3jf8WAiO3hZT7xQfG+AQDplsnvNXrWHH3n2UtWZgKCQsFckPjILRbHplEz0HDzJ1SivLz1xBGMY8/PAvGR0pc/Y555LPFTCA53gUCj6NDVNobW2hY/o8PD9ns+hfM1WcCIxPzP31IJM0kapWmN2v7UfVPDdrAExUu9904hqfBfNG9pN01rqs89oFMzFxHLFz1zZ27dmNVpY0fN9n1qyZTJ8+HdfzKJdL9Bzq4eCBgwwMDmG0TvS0HAqFRrq6umhra8MhZnBomN17drNv315K5RJRWLbr2zyXjo5pdHV1kclmqVTKdB84yNat2yhXKqhY4XouRghaWpqZ3dVFZ2cnQsCBAwfZ8uqrHDjYg+NIhIiJ4ghjBB0dHSxfuoKmxiZ6+wbYs2cf23fuYGhkgCiOiMMIo6CtpY1lS5cxa8ZMRkdKbHl1Mzt3bad/4BCxCsnmPKa0T2PRomXMn7+Y5qYpKC3xeH3ieuP3yHBiS4SPvq0+xibVshETU1zoeNud9DZjz9XzM1x86eXMXbCYcqzR2qDjmMB3UFHIzT/4AT/76b3Mm7uA3/vPv0cmn+W59RvQ8SAf+dBHWbhwMdrYvqe1QStNLp+js6MTz/Prcs4m2pUwMURSSyurWoTj2jmWsjtROCnEdawmHk1XTxz2+2g7EcYbe5lMxZQOGR7q5dWtm7j11tt4+tnnMVpjjCLIeJx73tlcddWVtLW1sHPXLp5+6lm2bdvOoUN9gMFNFsW2trZw5pln8Y5164jKJZ5//gV++cuH2bZ1mzX5XTcRlzN0zZnBJZddyJQp7ezZs4/Nm1/l+edeQMUGYwSO46F0RGNzgWXLlrJy5UoE8NRTT7Nx44v09Q+RyXhksh5hWKG3d4hcLs+171zHzBmz2PjSy7zw/AaGikVyDXm7eDuO6e3pJ1ZllixazOpVK9m//wDPPL2ekeIozS0FwrBCodGnUqnQ2TmdtWvfyeWXX8Ws2fPrzPjXvxH6DfW1433AjmZ/J+7so/SX2h5+XRPxNe04sZPWWlvalJKpHZ20T+tMgi0GV9rpvYpCtm/dwobn17NgwRmcd/75lColpJA40mXmzJksWbJk7PgGlFY1sqpWrT45nq2JmMJVDQdTx1Fm7OckZG9MPHHVT8Vf5+OjLc2r+ojEMdMD6naSXCilKwz0d/Pwww/xj//8LbZs3cOM6fOYMWM6DQ0Z9u3fxR23/5jvfvdmZs6awq5dB5DCY9XK81mzejVSOsRxhOt6FIsjfOWmb7Bhw0a2bNrIju17mDJlCqtXn8+iRUuYNnU6AwND9Pb288Mf3cq9992PkJo4Ukyd2sF7b7iezumzaCo0oxQc7NnLLx9+kO985wd861v/mpS50rz//e/jAx+4gI7ODtra2ujtPcRP7/s5t/3wLr7yla8Sx4IoiunsmMI7r72WK69YS0tLK+VyiY0vbuCHP/oBj/zqMR546GG0MnRMncZ7r7+BtWuvQakQZSq8+OLzPPjgA3zxi/+H555bz1//9f9g2rRs/ZWsRcWqqM1+j4aqxku91sthgorHhDnW9OEwih1zTNaOa+qit8duw5jP8zXnkkR3j6/diW/TEUnwxe5PYjBK2QIpRiMxaGEDNa4rk4XXDpVQMnVKOwN9Q0RhhNEaKW26gzHgSIkQ9jyUipHJsp8xw+sI177+/brzNYnb/8jnXU/YVeI5xr2rvwdYq1OYxK+KSfy49QNO/YxoYnBCxGUOc1xXb9i4DmLGPwgm2aZawsuAdWQLG0qOtcJJag9WOxyJs9loq2tktK6Fk8e3p3oYAyhiVeLRxx7m/3zhi/T29vInn/ozbrjhRpqam5HS0N/fwze++TVu+spNbNlSwvM0696xjr/83F8zZ86cJJlQEccxfX39vPzyK9z305/jJH6Pd1/3Lj79Z5+mvX0axkik8BgeLvLSpg10P7KfcjkEYP4Z8/jzv/gcDQ1NONJHCEkcl2lvb2Hz5i2Mjh4gCFyy2Tw33HA9l116OdmsJRKtDTNnzOXVzdt49NFfMXVqO/39fZy/8lw+9tGPcc7Zq8AIypUSF110AQe6D7Bz116EHEFKSaEpz7wz5nP5FVfgug5CaNZe8w7e857r+dI/fImHH36Mb//zP/LpT/8lruuik4fMSao4AyCl9VokfjiBQJvqCJqM/kKgtandWyGshHV14Kk+JrIWhIBaBxbJVF8ASLQ2Y9sZENIuTJdJkQi71m/s6FobXNdBxQrhyEREQVtpIUAbjVKawPPsPmtLGvQ4EqylsSR7HutPIimAYi1mO8hQC4JoY6eC0pE2kGIM1ZoCwiRWu8C2RwJaIYUloOLIMLGKcKQk4/lIwJHWP1mV/jZJnzYqTmpzVp+HuNpwmz/mOBilalWAxhQsGAu+JAEaU/e3kBJ03bOmbZCoep9k9YQPt5Kq3JY8pzJZ66miMAl9KVQcE2SzaKXRUthgkxBWl38CV4acsMVVvzpeJrK0tQYlJ0VNS9vUviOSkL+p7iOJyohIY4ROyCwZQaodWAirpHCki0iS/OeAIcaYkGeefZLvf/97DA4O8r733cCHb/wIhcZ2O61TIY8//iQ/ve8XzJkzl/e//3oeeuhBHn/8aZ5+5lla29ppbm7GlQ6Hevu49Yc/5OWXN7Fq1Sre9Y613H7b7bz4wktsfPFlLrusA0dKVBzx0IP38+rmrVxz9ZUsWbqYJx5/mu3bd3PHXXfx4Rs/ijIKRwr27NnD008/i+d6fOyjH2HxokV89Wtf42tf+xazZ81l0aLFCOFQGi2xadMWXnj+Ja65+ho+9ak/4uvf+DpPPPEEd991F12z5tLWNpVskGGkNMSTTz7F1KlT+eCHPoDrudx3773cecePmDeni6uuuhrX8/A8hwULlvF7v/f7hGHEnXfcw/Kl5/COa68dq9dndK1Cs9DGEpWoUY0lMiFsRNNQIyuRPMjoMR9HTf1AYBUQalOFRNXTJCQiQBBZYwmQ1YERaUdtnVg1JtHulxJjQAqD0BqJVZY1UZIrJ+zUzAFcx0FFUWKl2EFQCEsS1b5p1JilZNAItPWZJn25Kmrfps0AACAASURBVFUkGPNlmaR/SsBESYqDlAgUSmu0MjiOCzIhr+Q6GaNAGoywA34cxezbs59CPpcUVKl7VpILL5K8Lvtg6fGGg7JKFMKRiQ+X2tpK+6yZ2v2snntdNqx1nWuDEZa0bLpGzVto9yUhjmMw1PqJrpG/IQ5VYlhE9l4IgXQEWkfEStkgmGNz2XDM0QLZJ4wTIq7jYczqGGalXrCmfEJmVUtLVM3RSOEKp8budqROjiFJwnUkN9XYfKfkY22sI13pCCEVxZEBHnn4YTZv2syKFSv4yEd+h4ZCE65nV9/39R3ioYceolKq8P73v5+PfeRjrF51MZ/9zJ9zx+13sWTxMhoLzQDs2L6T73/vZpYsWcZ//+9/zcJ5Cwi8Bv79u//Ovff+jGVLV9Da1goC7rzrNmbPnsWHP/xxVpy5gq6uBXzpS1/mu9/7Pu9693W0NLeiUTzw0AM88+x6zjvvfP7gD/7QOv1djy996cts3PgSM2d20VhoYteuPfz47nvI5XJ88pOf5KyzzuQjH7mR3bv38NTTT7PplY1cdGErlUqF+356Hzu27+RTf/qn/MZ73oN0HLSCb371y9z0lS+zYsWZdHbORGuB42RYuvRsrr76HTz5+N/yT9/6JosWLqBr7lx834ckzUIrhVEmEburjuSK6o2rjtwq0dLXxoCKiaNquN8bm21pg4ljhOslg9HY6BPFViWh6r8Be0ytNVEU47oOcWRrFvqOFfALw5CwUsHzPDzP58D+/eQLDUjHpVQuWSsrCJBSJvUOJZGKKY2MkM3m8DyXKIrsgCcllSiiNFrCaIXrWi34qtWHANf1qFQqhOWyjQY7klw2SzaXozg8TPuUKRhtyOayVMoVent7KQ6N4Ei7qD5WEY7v0tt/iAcffICDBw8SRSFhFOIIybw5XfT19fP4I4+yb/deGzkOI+I4JgxHUTrEGFsd3c4aJH29fYRhBZno1EdxzODAIKWSDRblc1k7TRWgYsVwcZg5c+ZQGrVVikxiRcdxhFGaSMV2EE7uha0PajXJIhWD0RSLI7iuZ4t7GIMf+FQqIZWwQltrKw4GXQmRUjK1Yxq5xia2bt/JjR/7KF3z5uMFmbrBbmLY6wSIy07l4jikUi7X6sPFsbLO72R+rGOFjiKbaoBJwvmGKI6tMRkrVBQnipISIR3CsGI7MQLP9wiyWTzfZ7g4TBiGjIyM4Ps+nudZhseOWn7Wo1wZQTqGxx9/lHt/eg9+kOHyK65i9uy5Nj1AxyAMG196keeeW8+MmTN497vfw5Qp08nlmlm6dDnPPvss69c/x9y5c1FK8cormygWi3zmM59mxfIzacgWuPKqtTz22BNs2rSZffv30dzSyKZNr/Dcc89y4cUXMXfuAtrbO7nookt5YcNG7rzzLrZu38I5Z51DuVRmw4YNONLhkosuZuGCBThS8o517+AbX/8mN3//FhacsYgli5fx0saXeeqpp1m6ZBnnn7eKIHC5YPUFXHzRhTxw/wO88MLzXHjhhZRKI9xyyy2Uy2UWnLGQjmnTcVyPlSsv4GfzfsymzS+zceOLNLdOJRNk0AZ8P8fy5Wdzzjnn8fivfsV/+29/yZw5c3Ach1jFCAFxZHWgPMfBSYhEK3t/q50ujiLCKML1PISx6SGVMLIdynVxPTd5eASl0RKZTMYGFFRCgEYTRlGS9mH7VhQrpHQwRhPHikzGRcUKz/NoaWqmId/AwYPdDAwO0tLUSGNTEy+/8iqBb6e5YaRQ2tg+IiWe61IqlVFaUamEVkLGdVEqrrk4lFbJ9FDgOLav2HQaOw3KZrIIoBKGjJYqKKXJ5TLkclmKw6M0NTUQx4pCY4FKpUJxeJjSaIjArblBhBQMjgzT09eDQWOMQEoHgaC7p4f9+w7wne98B88LUEqjlLLTMGmTlrWxcjmZbBZjDMXiKELY3MBMJrD3R2vCMMSYsfNXShFGEUppmpuaiOOIkdESQogkAGVtK+lAqVSpWdMqqXQUVhTZnAtGk83laW1tqZGflA5KGYKMT3tbK750GDjUS1guIz2fUMHwSIkV55zDjFldeIGYMMKq4pjENTbdg/37d/PIL+/nqSefIIqUvdlKEYYKpZKphtG1C+C5DkEmqMnSlishlXKIjg2e65DJegghGB0tY4zB9z0cxyGbzeF4LoODwygVUalUapE8kkxkZQzZJo/h4iieK9m2bSf9fYNcdOElrLngQoJMZkwDXhp6eg4wONTH7K6ZTJ/egZQODfkCa9et49n1z7B33x7K5RJRHHHgwD4Azjn3HDKZDCCYNnUaM2dO58DBnQwNH6JUHuShh34BGFatXEXHlKkEjsuMjk6uuuxybr/lVu7/6X2sWLSYwd5e9u3eQ8YNmNE5g2wmg1IRs2dOZ/6cubyy8RV6e/qpzCmxa8dWonKFc1acR2O+BaVjWpoCzlp+Jv/xwH+wafNWKlGMEYZyOILjCBoLOQLPRUqPmdNnsGjxUl5+ZTPdvT3WInWyyVTNYXbXPD7woY/Q1z/EwUN9DAyPUqlUUHGMDXDYqYMwhlw2S6VSwQ8CSqMloijE8/zaA+MFLvlslpGRYkKMfjIdk1TCkCAIKJfj5H1BFIYYwE/0+PMNDZhQEYYh5XKIUqpWDUcPWdnr1pYWIlOke2AYx/XINLVycHCAnuFR/EIT2WwAQjDSP0hsYlSscVxJNtdAZaSMdDxyTXmMUWQLOfK5HFFkrZpYKQqFAq7rUiqVGClaP6Hv++RyeQqFBsJKhWwux+homdHRUYQUOFLSMsUOnpkgoLmlhdFRO7gGQQYhXLvwujRKuVLGCAiyAYXGAuecfTaZoAGt4X0fvJHt23dgtJ1ehmGI7/t26Y8QKBUipYPv+zW553K5jFKKbDZrLa4ownXtdyuVMq7r4vvBuGx9IQRRFFEuV8hmM+TzeYSUhJUKQeARRbFNbk58g47jMDJSJpcLEAKam1uYMmUKpdIoPT09GIMVW/Q9crks2SDD4MAg5dIovT3d3HXn3ezdv58dW7daOSfGchzfFOISQtQ54GHLq5v5l//7bV7auJE5c7poaW7B9z0q5ZgwjO1oYTSOY4sRtLQ00uQ0MTjQj9aGOI4ZHa0Qx4aGfAbcAKU1Smt830cRo7QiGo0TwpRUwhK5fBbP823J9NjmZEkXYlWxN7MSMmv2HC65ZD5XXXk1ZyxYaJ3NSVgao4jiEIQhl8sSBC6uKzFasnzZMhobC8RxhNIxcRQxODgIAvL5HNIRSSKRsSOyiSiXR4jjCn39vRQKDSxZvJjmQgHXkbjSp5DLgdKsf+ppVBhRKZUpDo0QhTFG22lWGFYIAp/pnR28uOElRoojaBVSqRTxPIeGhlziK7Ln0NjYiCMdyuWIKDII6dDc0mQd2cYK1TkCMkFAY2MjxkjrWBd25BbSASTNLa1cePGluH7AwMAAQgjK5TJAcv+MJQ6tKRSsJREEAcPDw1QqFbLZLPl8HqViMlmPQkMDff39SCntA5H4KUdLJWvpaVt30PM8W19QCDJBgOu5ZLM5e0+jiDAMa1NHx3HQyYLjfD5fs/xy+TxBENDf308cRTS3tCRpKTEjxaIlPsdBCEE2m6VcKqGT83EcQTYXkM1kakGYKIoJAh8DhJWQSiUEI8lkMmSyWYIgoFQqkc1mwFh/TzXIZK+79aXl8jZFxXVdMkGAqFo8YUgURTb4kfy4rovjunhS8oEPfZhyuWyt07pnDsYMhpoPTYwtwtZa2yIstdUddYnMyfZ2EJDj9qcT14vr2se+SnrVz03inLfLlKx1XC38Mi7ApnXtHhljVVyNERgds3v7Vnbv2sWOHdvZs2sncawSa25ixZaPe6qolKa7u5fu7gHa2zv53d/9fRYtXorneChlzfsotNZRGJZpbG5ESklraxthpVKbH4eJjyGfyxFkLHFhDK7r2YzwpNKJvSAuw4NDZDKBrQScRLLAgAQlrCkcRTGem6GleQqNTS34nrWS6m9oWInQ2lp1MnF6GhRaK8rlsrU6lEJpa2IHgW/LRWEQ0hCriNHREeJY2UWxjk97+1T6+gbo7eslVhGu76BUTJhYiFGkMEh8P0Mul6d/YDjRNY+Jogg/8AiyGQx2Ku0FHq3tLYRxmW07NqMJk+lFTF//IQaLQ8RJh4xj6O8bBOxIadBoo1AqJo5jgsAjm82ikpG3OtgJAS0tLaxduxaVRBSrnRyodU6w2mHVgav+fUhWKAiD40jrfIUxx7x00EYlI+3YfoFxD2H9Pqv+lep71fbYY+naIFrdV9UfVv1e/Whe3U91G4tqysSYbGOsFELI2soKU40uMJ5A6ttYf52qBHF4e6rb5HK5cQGq8b+ther7/rh0ilog6zDr5HBCO7x943O+qJ334de1HlXSOvxY9feq6g88EqrBlGrU1mCnqs2tLRijGUySum22wOFpGm8MJ0BcipGRUbSGOXO6uOjSK5k1czYCx87ZhY34aGX9BK7n1kK2sv7CVaOLdaFZozVaK6uckHxGcsG1VrUwtHSqnZ6kmIBCGYMjHTuy4ySjhQ2ZSymSdkl8P4vnBhgtULFGa0t6fX2HMEaTyWSS0LMk8H2M0ezdu5fOjk6EI2yoVyeSJEYicGhta+fQoX5efHEj559/LkHGI6yUGRy0lszSJcvAQCbI0VAokMkMIB0Hzw9wPYdSqcRwsciUadNobmkml88xZ94cGhqzHOjZRzkq4joOxih27trBaGmEXC5r880UNDe34zoepVKZOAqRPgwXBzl0qBfP85g2bRqZwC70rSLJOklqP449IDJJSanelyN12vo0GNf1rHUtJbGOX/MgSeFio1Oy5oc50sN4pIfWcZxxxDZmWVAjWSllMrBQs2QO338cx7VB0O5HUk3jIEmzkI6oXR8rL2PbGyc+3Cp5j10/87rkdSTSqP6unmuVuKvbVM+l/vqqJEpYtcSqVmnNXVJ3foe3p97qOrw99dsppewspy4iWf/54SRcfw+q71Wno1opNOAIG330PKsd1tHZmbQj+T7VYeGN45j2W7Vx9mQMQTZDY3NbooAgcdwAhJ2WCSTS8XG9DOAinQCMgzEO4CKEB7iY2t8eRjuAh5QZxLjPXIxxkMJHCB8hfYxx7fbGRQgfg48UAcZ49jvCmqxCgOPKJPJoia5j2gwKhRb27z/Iwe6DlMpFRkuD3HHn7TiOy/z582nIN9DU2MTiJYsZHR3lnnvuIQwrlMpD9PUdpLf3EEGQZ8aMLlw3w8IzFtPW1kJ39wFGS0WMUby65VV++MMfkslkuO6668hl8zQ0FGhpbWN4pMj2nTuphBXKYYUnnnqSp9c/y4JFi5ja0YEykM03kCsU2Ll7Fz2H9lGJSuzdt5dXNm/BdQPmzp1rqyDnCvyXT36KbKaBRx75FT2HulEm5NVXX+aRRx6h0JDnnLPPwfO9cQOdJYbxi7KrndxKqzg1Ejuc2KrbVKcOjuNijMB1faT0cBwP1/URwk3IwKl91/O8w6Yl9iGw0zhn3ANcT1jVY1bb5vt+bT+ZTIZMJmOtccan6lQJcOz1mBqHEE4yfc0gpZe006ntQ4hq1Wmvtq/Dp2z1ll79VLDazsPPqbpd9XV14Khv9+HEU08g1vfl1AaB6nb1A1D1dRX1+6sn9er9qB+kDreC68+z/rpUSbf+u47jJgOUIZvNMWvWTFpbmjj33HPsVNyMvzcTgaNaXDbq49R+Z7IZwijiUF8Pw8UhpnVMQ6OS/BpZR6fjnpQjpWAd8T1qRvyRtnvtZ7Yz1m85/ptjD6jDuees5LxzV3L33bfzD//wRf7rf/1TBgcH+NVjj1JoaGL69E6CICCbzXL2WWczZ85cbrnlVi677FIWLZjL977/77yw4QUuveRyZs6cQybTwOLFy1izZjXPPvMUjzy8lHPPO4+nnnyCl19+hebmZpYsW4brZXBcuPzyK3hm/Xr+7d/+jVhXWLFiKV/4whfZvXsPv/e7n2TGjJlI4bHgjMV8+MM38vDDD/HNb32Tiy+5lJ/8+Kc8/MhjLFqwmHPPPQ8hJEGQYU7XfLLZBn54649obskze/YMbrv9DuI44pq1a2loaLBTS3F4VWRx2Osj3InDpl5Hfm8sk3v8/kxyjMPvyZH3dbTPj7X9kdr7+seybX59jLX3SOd/rOMcb9uOdm6vt+3xtuVE23g82x7rNUlABmGTbAcHBukfGOCJJ57gyrXvpEFQqzc6UTjuqaKUkkKhgSDjEccVm2OCRpsYRzjV5Cz786aU2jJH+G3qODNZ6GDAaENDoYF3rHsH27dt5YEHHmD7ji34gcvAwBDv/60PsmDBAjvKYeic3smNN36Iv/u7/5f//b//F63NGfbt3c85Z5/F+973W+TzBQSSTDbL9TfcwFdu+gJf/do3aCwUGBwcJJfL8Qd/+IdkMzm0stn/q9es4V3XvZsf3XYr37/5B3z3u4rRconLr7qSlatXk83nMcKhsbmd1Wsu4sDBA+zatZP/52/+J/v2HKSxsY1r1l7LsuVnUl2m0d7eymc/+1m+9Y9f5wc/+D6uB2GoWLV6JR/64AetxVlbznESb8HR3n8zusJx4Tj65SnT1tMQwl6+OI7pHxggDG3+l64mNmszoeR1TOKqd4C6ntUTEpLkt0GIavZtlbiqa89OZi+oLVZgnKUlzGGfW7+bwY4IK1euRJvf5867bmXDi+vRwxF/8Pv/mff8xvW0NLfYC2ugsbGRKy6/AmMMzzzzNP19e3nXu67lyivfweLFZ+L7gTWZgVWrVvPxT/w2Tz/9JIODg6xYsYJzz13JFVdcg+N6SQkyaG1t4/rrr6e5tZHHn3iUnu6D/OYNN7B86XIWLVqI6/tJLpNPV9cZXHvtb/Dixg3k8s1cc/VUli49i1Xnr6S5udlaN9r6X975zmtpbW3koV/+jL6Bg5wxfyGrV17MggULbYeZQIfoiaOaXHoK4HiaMZFOmEkGq/Rq0ykqFRvt19qMtyUmEMdlcdVMWsCTAl+6eNJDaIl0vCQak6S+1+7+m9Vh6y6LGf+eScK5jgSElZW55OKL6Zozk+3bX0WpmPPPX01r6xS8pHirdOy6qo6OTt733vezZvUFDA/3M3PGDFrbpuJ7GWQyRZUG2tqn8q53Xc/q1RdRHBkhn29gSvtUcrkCUlSDFgZXSOZ0dXHD9TewZtUqisVhlq9YQS6bs4trja1mbIygqdDEWSvO5Yy5C7n4gstpamqhsdBMEARJ7T/rCEVAS0szV1xxJYuXLKRUKtLc0kpLczuBH9SiPdbfJA6/SBOA19nXqVgb0kZ9jrHNKdju0wTVK+c4Dq2tLQhhqJQrdX62iZUlPyZxjXPO2SVHCG1QkUFoB1us0poAVjTvzRy06n0XRx4u5WHmaUOhwNIly1myeJn95pHm+BKCIEsQZFmyZBmmPpJbN90QwiYKFhpbKTS2jt8uWedWPYYQ4EmX9pZ22lvaDmuuvWjSEVSdxK7vkGnN0tY6Zdx51c5YAMnav0wmx9w5C45iMJykO/J6D7o5ScPsG8Kp2Ka3HzzPpbGxCSEEo6OjVp5H2lSJZBXmhOCE1irqJMqhlbIlwqk3st7qXnEixz+xLN5xm77ma+LI2x1h23H0c8zDn+j1TAttpHgLIahlyOtkKZXN3ax+PLG988TSWU2iGoBIJFMSAkifmBQpJjVkMqvQShFWQpQyZDJBkpUw8e7D4yKuWh5Xkhfl+T7Scccl5qVIkWLywiSO+FxDnq45c8jlMzU3jRCv1dJ7ozgu4rLJczajuFKx6hA6jnATuZEUKVJMcgjrx4rCkJFikdJoiVK5BFSTWif2cMdMQB1bnmAolypEYUQc2/V82lhBN2Q6XUyRYlKjur7V9cg35GlszBMkqiDVheAT6Zw/qsV1+FKEMLTSxJnAt2qHVdXSlLRSpJjcqFsFUJXhqeqwVdcqTiSOK6ooE2nZQkMDmSCwRAZJxN+mItRSTtNUmBQpJiVE8p9dqylri9lPRo7UUYnrcGWAQkOefCZDWAnRWqExiW4449Jk6tRBUqRIMZlgqnXfBVEcW0WXCU4+hRNNh8BOZaV0rViarisJlSJFikmJmixXIvHT3z9AcbhYk8G2bvuJxQkRl9UM12QC1xZYOAnRghQpUpxeEHVTLek4OK5DFEV0H+wmjqKTwhEnRFye5+O6PmEUWxXQ11FGTJEixeSCgFpBFN/3CLIBpVKFOFbHXiP6a+CElvzY6ikSkQi62RaLk9KwFClSnEaoCSUKVKyIQ0Vbe1tSKKW6yH/ieOKEC8Jqbaw8c1LYYKKVDVOkSHGaIkl7MIAxGreqpov1c53cJT9H4aFqRZ7xWuFp+DBFihRAsrA6Suo51rT4T8Kh6qoo8Box0WqKgxACpTVRHKGMSgT3zHgh3ERg0qRcliLFpIIAhLFlyyphyPBIEWWgHNkitbVV1hOI11hcou6n9l6yDkkZjXAcgkzGFkpQGnFY/tabotqcIkWKUweJNDPaFtQphxVwBLGy1crRhiOUH3hDqBHXEYytRBHCfuJIpxZV9PzAVloxaRpXihQprN6WFALPc8nl8xiSKkvVik4nrcqPMNSL1NQbTvXSq6VShagSU6lUrNTwhDYnRYoUpyPsch+B7wdMmTqVIHCTmo3iNeXRJgI14jJAjE7ETAXSWNljiYBEyTAKI6KoDK5PJaygVIx0vAltUIoUKU5PVAs1G6Uol0NKpUqyyHri/UfjiCuMYyKt8F0P17FVpbUxtfmk40g8z8V1HRzXtUUj0sooKVKkSOTQpevg+x6ZjIfneVZM8CTwwzjnvBZQVhHlOAQEWthF1NXpYDUvo1IJ0SrV4UqRIgVgSFYjGozSVCoRpVKM5yV6XHXa8xOFcc55IW1WvML6u3T1YHXkJAAdK5SKU/HTFClS1KnWCIS09Sg8T5DN+rVlgRO9zLo2VbQ1Ex3yXgDa4DA+LcJg1yKFlRghJFJKYhUjpFf7fqrHlSLF5IQRAiFMUsfUwZVO4vQymDqx0QkvTyYR+AZ84YJTTXNIDlNXHzDwXLQROK6D0grH8VI9rhQpJjHqk86NMUSVEDQYpdFYUpvoAmX1ie/Iup8jJaL6vk8ul8X3HKSQtrx8msiVIsWkRy0P1BhUbFUi6mdf1aLIE4UT0+PSmjCMMUYkUUWZCkOkSJECqKZDGJsmJUFrqzePMUkl64nDCQpqCYwRKG1Xf6fe+RQpUtRDG4NSmihUDA0VCcMIpZWNLE4gToi4GgsFpkxpxeiYShii4nhCG5MiRYrTD7V11MbguS5TprRRKOQoFBrwfA/XdZHSmdBjnhBxjYyO0N8/QCWMiCoh0kkVUFOkmOwQdekEUkr8wK8F77QemyKeXD2uo0AphdaKIPDwfH+C4wQpUqQ4fZGIMbguuVyehoaGOlOMt9bH5boufuBbxYh6uQoYnzmR8lmKFJMKApGouBtcz8o1R5FKPp34CN4JEZeQEi0EcWyLZRitkXV2VyoimCLF5EVVxr1SqTA0OEQYWT2uWvmyCTzW8ROXlUIljjVhbFVQpRg/WUyFBFOkmJyw3GQf/qhSoVwuIQR1tRUnlhhOcKroEAQ+rpQYbWwCaooUKSY1xgrC2ko+UggMkkJD3k4b7VYTeswTTkA1WhNGEYe6u61CRIoUKSY1qumcRptalR+ttZ0map2oKU/sMU+IuKIoIoorSGEYGh5CV2VZU6RIMakhEj0uhMANfDIZj+6ePoaHh4mjqFbxZ6JwgsQVMzpaQSlDa0sbYlxpoBQpUkxGmJoel1VAdR2H9rZ2tIoplUogDI5TXQE9MTjhqWIcK4wRuJ6L1qn8aYoUKcZYoGp1jZbKeK4Vn6n5wCaQKk6okrXruQRBgIpj/MBPM+dTpPg1YYyuabEbo6GWB2U/T9Ym16ZXVl2hXtHz1DEYxrVbiFqiekNDvpbbNdE4IeLK53I0NzUShSGZTOakiOCnSPF2w1jVd6i6VrSJkcgkZUAn72kbra9WxdGm9l3HccZVjjdGgDh1DAdjDEIYtNLEYYjAnkdDQwEpZc2pNOFCgseDTDZLLp8n3t9t0/iTSkATLcuaIsXbBcYYlFJIaVWDtTYIYSNuQlrS0kbR399PT08P5XKZhQsWIgz09/bS3NJCJpMBKRA41FdANUaeMp4ak/ynVMzw0BCDg8M0NBaTc5/4xYEnRFyWVQEUpfIoUoi0yk+KFMeArS9IQl7WapKIJKvccKjnEHfffTf33HsPjY1NfO4v/oL9+/Zzy/e/z40f/jDLli+nuanppNQnnEgYDEJIfD/AYItmRFGE0hrHmViaOEHi0hijCXyfXC5v1U9P3euYIsVbDiEEQRAAVV+PSWo2CJSOOXToEP/jb/6Ge+65h3K5zMyZM/n85z/Pfzz4H/T19vHYY4/zV3/1/7d35lF2Ffed/1TVXd7ard60tAQCCUuYzWYxYAwCDBjbCSTgOI4d27FzZiZjT8YziROfSTLj8TnJZD2TE2cSZ885XhLbOBjwhm2MCQSwk1jsm0ASCISQ1Gq1ennbvbeq5o+6973XrV7U0Ejd+H6hEXp9313qVv3qV7/6/r6/3+Jt176N/v7+E/sw80BKAcalBVZ6q5RLJarVEpVKGU/5Sx6TW6ThAq0NjWaLI2NjGG2QWVWNHDlyzIrMS3J/Wqw1xEmEEILf/4Pf5/bbv8XIyCGstezcuYv9+/fTajWx1rLn+T386Z9+mp6eKm+79lp8f3kWYLa2k2idRDFCSDzfn0aVWEosznBlwULc7OFKD+XxrRw5FgOLC2Ij4Ec/2s6RI0cQAlatWoVSivEjR0iiBJkG7vfv38+h0VG01svWcIn0P0JKwkKRQrFEo96k2Wqmac7OaC8VFmW4gjBwu4lSUiqXu2JeOXLkOFZkA1kpRW2qhrVOMsoYg9aaVpSANigBUkj3WavV3n1cjhBpvNsag5QCKaXLa/Y87FJvKbJIw6WkQiqVNvBsss1iTaA9VQAAIABJREFUZTpgC9xz5uoKIRYg06UpUNamRDwAmRr4Y3lrCzXeTN0gO8f/57PJcoa1oKTEGk21WsFTHsYaJiYmkFLiex5+qIhaTYy1JNoQRfG0PBW7zN6xTe9ICInRBqMTjDVdJQvtiaNDuCoegiTRTExMIKQFTNftrEBBLguiS4vHto0PkLrqVrhlcTfJbuZzGmvAaKxJaNRrNGo1pOexqn8Ig0Qp6XZh57uRBVOo5NGiZyL7jqEzrS1tekWOpUWWKqe1Ztull/D8nj28tP+AW0Ia4ypoeQobKbSFwdVrWDO8HuUF2Hayi1hWrzgbM45wapBS0my00hxFkwbBlu6GF2W4pFQIIYmimChqIbBYYegMlKxRV47bJex0jonAmYAkjpmYmqTZbNE3sAo/CJBSzeo9WUAb16Umxo/w4L//Gw9u305QLPOen/8A1b5BhFTIed/by4kBZN+xXQbsZZwmx3GFQDjVBKM5bdMmKuUSYeCTGDfI4zgmjjSB70Iz17ztWt74xnMJwsKJvvU5IRBtPmwYFigUitiUGuFi4SdwV9HzXMoP1tJoNJ2vNYv3saIws6CtcMas0Wrwja9/jZ27dvLBD3+Yk08+OT3AYoxFdWmRiTTnwWLZvXs3f/SHf8S//vBfCUsVLrrkUs7q7U+9rYUsykJM6BntLI7FS8ux3GCspTZV49FHHuHv/vbvEUg2btzIkYlxarU6iU6Q0qOn0ssb3vAGbrjhBjZs2HCib3tOWOsWiqIrtUcIiUWgpEAKueSx8EUZrkajkUqyJkRRC5MkqGD5pB28PEwPeFrjlopR3OL+H9zHP918M2ecfSZDQwOUSiWEEEg5/XvWuGCkTTSe8qj2VLBWkMRx2gmPsYrvsWhfC9N17WztmhuulYSo1eLhRx7jP/zifyRKIn73936X8990AU8+tYPv3nEHjz32GGeddTY/+RPXc/7559Pb24vnLWqoHldkeZTCCgxuLAwO9rH/4CiTUzUSHaPwUXLpmP6Lbw0BUqZL1lfBBTy+cIH0RMdtbTEhSGvAGaJWkziOqZRLeL7EYtxzW+vIdkKS6ASlfIT0EEpyyikbue6667n7rnsIC65M07HONhaDEB2KiTGdWJtTlbQItAtz2iwcap2AG9nGgUCplfxOXnvImPPWWsbHx7n37rv5/d/+beJWzH/92MfYtu1KhtasZsNJp3DppdtoRRFBEFIulQmC4OgE62UIa5znb60TGn3xxf0USuV0E0+maskniA7h+z6FMGxvdcq2BVu5eT/OWLht3DiOaTTqRFHE2NgY+17ah1SCp5/ewVlnn0FYKKC1plwu01PtQZsEkQVU0yyCqBUxMT6OkC6gL48xEdaxqg1xHJEkWZEBtyTNOr5SEoRG6xitDb4foJQPCJT0pu165lg+yBQTRkZGuPN7d/KPn/8Cff2D/Jdf/m9cefVbGRgYxPMC/EBQLJba+u0raUSlalxY68ZDq9VEeh6NRtNVsbZLm2Wz6BiX5wdpcrXitcHjskgFhw4c5Pvf/z4PbN/O4cNHiKKIJ596Eq0Tbvqnr/DkjidcmoY2nHfeebz//e+nUAjxlIdN886wMDExwc6dOx1lJOXdZPIk87eVJdERO3ft4I7v3cHoocN4ykMqQa1WB6Cnp4LyBJOTkzTqLarVCtdffwNbt5yOV/Cxy5fm82MNrTUvvPAC3/rWt/jqzV8l9H0+/mu/xgUXXEC5UkF5XmqmVu5gsmSlCgVKSdatW0uUGKrVSpsldcJyFdsuqz3GmM0KgbECbQzPPvssO3Y8TRwnFIpFtI6xxvLiiy8ipaCnp0qxWKJWq6cBRwnCVTsy1uVqNVstRkdHiWON8OIOtaK96uuu1ZS9zjQlBMuL+57nO99xKSDGCIxJSJIEz/OoVEoIKYmjiFYroVQqcvHFb+F1r9vaxRt7Db2YFYaOs5tRhNxGzsGDB7n99tu5+eab0Vrz4V/4EJdets2x4NuDej6O3vLHtE1tC6VyGVNv4nkeSkrEMXMZjw2LNlxSiFRDqKN2uKIHi1BgLX39Q9z4rp/l4jdfRhD4GGv51Kf+Nw89+DBvvvgSrrvuJ1m3bphKpcLw8DClUhUhU3IpysXMU25NpDWRtshUZ7udi27BWg2ikzYlpALjYoVS+mw8aTM33vCzjI+PYy3EcYSUkkKhkMY7ZJtBXSqVOeOMcwiCAths52YFv4sVgDRNet7f6iRCKYnWhj17nudb3/o23/72dygUCrzrXe/iJ6+/jqAQtpdXQspZOE5z70LbGX/Oh+MzOi0uLJ/GZoFnn9+L74e0mk2sSRDe0iY1L3qpWCgWQIh2rlV24ytzwAgQLnheLvdwxpnncMaZ52CtZWRkhPXrN/Lww49z9dXXcv31N1KtVts5mp3E2ZQLZjRCgPIUfhii0yZpdxwDIrVgFqcQKYTAatLmUwjhs2nT6Zxyypb03GLaTxY/yBQll2ve2msb8/VzgbUGYxOSlmH08GE+9/nP8o2vf5NTTz2N9773vVx55ZX0rupFSDnjTF1UAhYykO54O0+iSpsSvmBWyCuH6+OOAO04jRDFCYmBZrOJ0TFYn6UUPlwkAdV5XJ6nKBRDt5Mgl5YRe6LRkdO1+L6PlJLe3l6EEC4Ir44modps1kS3E9HnODtYMFqjbVpUF4GUXidVSIo2R2w2yVtHx5Dt+3HkvhzHCwIz/2h3lD4OHTrEl2+6iVtvuYXTTtvKRz/6ES655C34fsCxTPJpL1zwmPnN6MJXWqqR277TtCSZMQZjYqIool0BaAnZ84uu8hNFEUoJAt9n+WVMvXKYtNGLxSJvfOMb6enpoVAotA3EdBneDjKvKAgCqtVKKhjXgcTtXGptmJqa4onHHueH993H4dFRjHYGD9ExTO3vpUaqW3scaO865jiecDu/Ej3nj9UJBw/s53Of+yx//Md/wqmnbuJXf/VXueiii1AqKzBz7Nea7yczTHP9HJM7ZV/5j1tIdKJ0SimklCSJJo6itK8e42MfI+b1uLLBkcnXdIo8uhqLGVv8tYTMMJTLZd73vvdx2WWXsXnzZorF4pzeTTajaO1EFgeHhggCn0KhQBwn0NVKtdoUt9/+bX7nd/4P1sZ84td/g5++4d309Pals5E7cua1uo1XhtzbOs6wFh23SJIIJT0mxo/w3LPPMj4+zoYNG1g7vI56s8Gtt93Kl770Zd785ov5zd/8LU7fejqFQjHl6C081VtrMToBqzHGsO/Ffdx555088sjDbNq0mbe//VpO2bQJi0In2kk7Y9PJs5N2Z6z76Q43TLuGcd6jEiJdMUz/nVLKURmArCJG+xxZtkhKczDaxTyElO666cqjVquhtT6+zPnMcCWJq492ZHyceqPRTkTOCKivLdNFW3JkcHCQvr4+PM9bcEfEpp2gWCqxZvUQvb1lhFDtIgeZ0THWUK/X2b9/H61WzIGDI7SaTejNNjvmv68cJxIWiWZybJS7776bb37t6+zatQelwPcD1m9YT2w0Tz+3h9Net4VPfvKTnLb5NIrFmUZr/vQvAViTsPf5PXzxi1/kvvt+wK5du5mamqRUKvL1227j4ksu5n3v/wVO2XgqNlsFpN2n43AI7DQRw/QpbGdyFGlQyhoNKckZ61YIJklSmRqVhqcEmHYFxS5DmV3fpf1kq47JySmq1apjzB/PJOvuZUkQBPT19dG3qg+tNfVG3S1v1GvNbHWQFTg4FmTOkFQSPwiYnKwBEp1oRx+RbobyPZ9CoYh2/YTA91Ge6pLDefWeJ8crg8AyNTXJD+69h7/+8z/nySefwRiNpwRxnPDEY4+hQp9y/xDvfve7eP3rT0+zMBb3Uo01TIwf4aYvf4kv/sM/cGR8nNpUjSiKGR8TjBw4wN69L5Aklv/+Kx9noL8foVSaPZEapW4PfZbwQju/1th2RSH3jOm9GuPOIWSaFJ6dRjhXJf2ulBKTGi5rDRbwlKJSqdBsRVSq1ZQ1v7Qd+5iC89kArpQrlEoljLG0mq2uI2YaryU2ZrNuWmbXeLVG+vSLdv9t5uRhUqU0Y91OoVsixvhegJRgrAbcDqDz5ryUEZ9Mi5k56kSa2pMVIunGrIGLGY2TkgAXmNQ755tvW8oucMyssF18HuMM9ryHz2jM+Roa2gaetH2y87sNEafnnv0+03hPx1mX5rtApUsabKcs2DTNKAGe56N1ghAuzqijJrt37uK2W27l8ceeQHkemzdtJI6bjIyMUqs1aCUJ5QG3Ay+yfxbZReMoYseOHdxy81fZ/9J+F2MVAikFvucyKUYOjvDNr3+Dt7/9HWzZsrU9MWYpQnGcOKUJo/E81V41ZMYrarXSZ9LoJHEaYIFP1IqIkphSoYi1Bs/z06WrBgFKeS5uZQx+6Og5UdxEW5eKprXmmaef5sj4ODblsVkhujiMSzNeFzRc3S5mohOacUScJNTqU2ijkcJC+mKzzmTSfiWEaK+xs/WwBbAmdTktVmsQTq9KSNXekciOzVxehJMCyc6XpRtp40o/CUT7ezLlV2njcv9cCTXQSQIiy0W07YRqpWSae5nON0KkypNJp8NnM0r7O64DKaXcy0lTdur1SSbHx/CkoFTykR4YkWCFTvlvmiSJ29Vedu7ayaFDI0jluR0na9GJJtEJnlSQpovo9HvGJAgBfhDgeZmoo+t8xlg8zycMi0RRTKvZbHdocDbB7Qr7NJvNtE27Z+HUeAqJ5ymssej0mSGbsV0bK89DJ4mbTa1LR8qUQrROkFLRbNYxuPJUSiknMJfqTWXtHrcijLWuuHDa1sa6AWCNJiwUSZKEJI7bGyfZPWhtWNXfT7lcYuTgCLV6DT9V3MzSbKrVCq1Wi9rkFEkUY7TB9z3K5XKqKmqJopaTakoiZHpvLlF4kLGxMTzPw/d9Wo06995zF3fdcz+1KKYnDBlcu4ZarcbYZI14qkEz0UyMT/HoI4/zU9ff6PreUYTt+WeCKIrYvWsne/Y8hzaaer2ONholHStdKkmhWOT5vc/zV3/9l5x99tm0WhFax5TLZaSU1Gp1jHHB8XK5SBj4rn8LSasV0Wg2CIOQqdoUzWaLYrFItVplYnKCRr3GwOAAUSuiVCqiowQdO+FQz/Oc7E4cU6lUsFgazQYJTugwjg27dz7HvgP7GRpcTTOKsFYu9Urx2JeKQkAUtajVahyZmOChhx/m4UcexFMeQRiglIeQgkQ7fa4wDCkUCni+x8TEhJPBMY6QaZMEkziFiWa9gfI91q5dS1goMDE+Qb1eJ4paJDoh0Zq1a9dRm5qiVqsRxTG+79Hb20sSJ4yPT1AshiilaDSbbhCljdtsNZFKEYahkxKp1RBCUCqVSBK3Q4q1BGEIWDzloTyPMAwIwwKjo6OpYdIIIUmShHrdpd/4nk+9UadarZJoTaI1xTBgYvQg2//thxQCjySOSEwM0jjDlbGptSVqOVb+9++8i5NP2simzZtQ0ukXTU1McmhkhJ6eKtZYoihiqlZjamqSKGri+Yrenl4qlQqJ1kxNTtJsNmm1Ivr6+1m9eoiRkREO7D9IsRiitWnTJ3p7elCex0v79jt1zTjBpIYYa51qpZBUymUEUG80nLEXkih2OmwgKJeL1OuN9HtQLBUJwwBrrCPNKo/DY2M0GpOUSiWCIKTZaJDohCDVNvM8j9pUjWazieepNMhriOOEZquFENDf38fExCS1qRqtyBE7g8CnXqvTbLbYfNppbNq8icefeJzR0VGCIHBb8ELSaDa54Yaf5sEHHmTvnj1E9SZaGzxPUSwUsNYSJ5pWK8JYjRXOO9DaeWJDq/upTTUA1z5CCg6NHma83sArFjk8Veehx5+mp6fCWK1F0wh0arytVVgr0Ro871iICV3jTgqCwCcIPJqtFkp5lMsVpqbqJElCf38vqwb6GX16gjv/+S4efeIxN3npBGN0Wzq51WiBtpSLAYEv3fhMDFErISg4zywyCcITGONI5RaL77mYXZIY+nqrtOo1MAajQet00k7zD6UUeIHCeoZYa6LIkMSC4fXDbDr1NPoHBnHxfSdzs1S2a9HqEEEYEEUtbrnla9xzz73EcUy5XMLzPKSSRLHGChgcHOTMM8/krLPO4vOf/zwvvfQSAL7nOepXOpPUajWUUlx44Zsolys89+weDh46RK1ew6RKitu2XcqTTz7N3r0vYozB9xVh6PgwU1NNCgUPpWTqcTjt7kajhed7CK8TnBRCtb0G3/fQWhPHcTv3UimFUpJisUixWOTQocMEgUepVGzPVM1mhO97eJ6k0YiQ0qYepgRrWDvQx+s2bWB4eIg9LxwkasUIHP8NY5HCdUrPc0H7ffv28elPf5pqTznlCKVLGSXxFMSxxvcVrTghiQ0Ct2xXSqGkohXpNIfSGSApISxkxUdhVV+Z0UNTeMqyYcNaBgYH2PvCPsaOTBLHCXGkKRQCyuUSSkmSJKbZjNDa0NdXwRhLb28PABMTk0xO1vF9j2qlRJwafyEUlUqJMAyIY8fdKRVLKOWjlDOctdqII2caQxQl9K6qMjE+QalUotlsUG+0MFkxCAFh6FMsFNn30n6ilpusiqUixWKBarXKkcNHqNVbHDh4gIOHRilVyrxu6+lUKmUajSZJnNBoNbj2He9ASIkfhFitCcMA3/eJWi3WDa9LRTEjNwCV6zvNVouo2UJ6ijWr16CUy1zwg4AnnnqS7dsfIAgCduxwS6KJSWecpfQ4MjEJwhEvX66qQxiEbD399VR6VjEx1aS3rwdPKRqtJjox1OoNDo4+i1KKG264nmuuuZqhwUEajSbjE+NgLZ7vU5+qoVsRfX39SCmp19wkUSgWGBpaTZzEJDYhSiKElCip0vHlUyyG+EHImqEhDr60HxOnE45SeL6PFJAkbhxJX9JKmmkNRdAarFGsXTPMySef4pabS2q2Fmm4BgeHuPQtl/HM0zs5PDpKb28PxloGBgbROmFictJJchRCrBXs33+AWq3Gpk2b2LBhQ5oeI/CVohgW3HcmJmg2W6wdXodSHq8vVzmvVKRUKrVnkbVr17Jx4yZGRw+7TpbufgR+QBD6KOlmAJMGFHW6lesHAdJTFFMdLTfTCyYnpyiVSvi+x9jYGEEQ0Nvb2zZia9asJgxC9r74IuvWrcNaSxiGTE1N4Xkeq1atSg2DcfejFGGhgCcs+198nm/eehvPPfsSVgh8z8NYJ1EjLekgClBKEUUxPb29/OZv/A/OecPZFAoenueMoDaaOI6o1+oEhdAtH2MD1iMIChQKzqOt1xsYa2nU624JUVCEBeFKvCtFISwwfmQcYzTrN2zA9332vvAihUKZVssN8CAMqFar+L5PEie0oohCIaRSLgESz/NoNBu0Wi2wEIYhlZ4e6rWplAQr8H0fY4zz4IyhUCzQ0zNAEqWTgu+Mgk3fUZIkBGFI1GyhlKIVtTDWUigUUt0mt6xJ4tixzAXtzzK6gBBOLsWmW//YjAsn0UmCSMnSW7Zsdcs/5WomuH5Iel7h4jfWoqRq78o5qo9IPRh3XJJoHnzwAQ4c+D3u/Zf7GB5ez969ewHL5k2bmZyqESUJ/f2DnH766e0JZrHGS3kew+vXs+2Ky/jGN26nUu1hdPQwFkG1t5eJyRpWSIaH1/Oxj32MTZs2pcTodILOApMWhHWqxVloxoUHtJuslcLgaAzZ4tWFZwyeUmjj2unUjVvT83aOMVp3lE+ExooEKyxuP1IhhMKloWWCm0ub37wIwyUIggJvvepqzj//Amq1Gp7y8APPybSm8SaTsr8ttv3iIAueprCu8AYIkjgijmLCMHTxEuG8E4lAp0tL3/favJDunZGsQ7l9js7nGbPdplvEMl0GtUmk1rb1340x7aVQNitkHU0b42Im2HSXJm2JNMbmlmCAECRao4Rl/PAIjcka99//r7RiaEVJSjp095LRS7I43OXbtvHWq67i5JM34vn+DIKpwRq3U5m1X5uT415Jm7jqxpozIi4+7d6DsO55bWrMpZQMDpwKuKIGLrht2wFo0tiiTFNSsthlxvnJ4jPK8+ip6HbgotOpbSeeYQVhKNP7br96AML0L54fIqQgNGV3H4hpfDY/cMv49gnS50UU3Fa+FG0Dk4V+hRDYoMNF8oJszyIbuHYab0l4qQ6bFYhsd01kKVY6jYmC51lef8ZZfPjDv8jY2Dh79jyHUi7W99xzzyOlYFXPKq656mpuvPHGtI/oRRsvIQSVai/ve/8HeWHvS2zf/iDNZoO+vj6uueZqEHD33ffya5/4dU7asBGl/HQspM/U5lsJpE2HuMo2KSykBVod1cFNOC6+K9rxXCkESqWTAW48dkPJlAIkBEJYrIyxGDIxTEu2wnG9Y6mpPItM+ZFUKlUq5Uo6kEQ6iNPBRmq7he3sjM1EtutFp5Gzxmpvt9psAy3d5VnwmWff+mqbStH9++6TzR4knbGLPOd1OgFHQWI0wmqE1gz0DxCGAcqHYslV8hVSYtOk66yTCSFYv349vatWUSyVAK/T+Wa/s3Rk2tnvvd228zdYm9W/iFTHLqXqznnU0Sdob3w618WlhNE9p3cdKTqZF+2JeaGNp65aETaz3oBIvaXsuyJd/tP2FOy0c3RfYlo/7erL2SZN+2ADlUoPl112OSD4i8/8Bfv37ydLDzvjjDN429vfzpsuvJBKpeLOY2fvY/NBCIEfBJzzhjfyKx//ODfd9BUOHjzIwEA/1VWr6O/v439efgXXXH0txWKpbVixpNwtOPqpBdMaCNrJ3U6hNwupdN1H1+70rE+RXte9W4Wgkyye8ehfLe7hImNcov0wapaenFFR5zRa7iCmSRSLo13Izpb0MayKu/ev57oUs/9+rhEyf1t3vXjR/ZFMd+VcalSrFeP5oVt+CJWqlLrbTeKYJInTXc+ul7ugzcnOMMeBc9nnbizdjvSc57ciK882zTzMcvAczzAf5pgL7cyXNsPDyybE+S4x6+ddH7pqT4r+gUHeeuVV9PUNpKKRbjm9dt06Nm7cSKVabY+Pl5/dICiXq1zwpotYs3adCxmEAUq6GNNA/wB9fQPt3ekOZvhGYh6RtoxSspBxOSbHIVM4fTU7VweLDs7brg5w9O/oMiJzH2QXGKGZATg2KXXbbZ1muZfjgPaASGkaQhJFGulZ4ihOlxwW1bU8dZ5kZ3nmepBOqybNhcxTnccqCZN21jkab+bEsdSYZjCyDv3qwnb9zAWZ9qf5+pQVs3alaRBCIgX0rurj8suvSD/s9qwc2Vimst7TjEL3pDLnGLe0w3VSUiqV2brl9HSCz/pKGu6QHQqKuzdmnNQCZn7yhZDOU1oACw1FV+Iv8067I2bdZ1i6Prc4w9VptzkPaC8J5uwBC9/84pzr2c+3eAf95cNmnigW33eBft9zlALHFdIIz8NgUJ7PmnXrueBNF1Jv1Nly+lbCYjF9rXbh5rHzdYDs8wWG8atq0Ge4fMfhRcxrB6bfzSu+kkiXwELINkeuUysgPSqNoymRZUQw/b05F7FrZZIFWZyhcefIvLUOkTbjGlrrqDuOu2jT4i2zPeGMBfrsh7DQS1rQCcjiOdmzHnXs0neCl1EsY4G0atHtNs56wNExh9kPe+WPe7w8LlLvyRqUFIRBgPJSrpnWJNrgyBsKPyhw3gVv4vf+4A9pNBps2rSJcqUHYyUKOa047RxXYgHfYmG34VXGdLLhq2+5LO1Q2pzInJEF5t2FV+rT4g82/c6MhHjbvfy3GG3amwPOqKXGTRtQ0uUaShDCuCwLa1B+QBbQmxZK6P6TrnjlrE8mpt/bUYccWz+Z5kTNifkm3aXvjy+v5tEx3ccS3OyJHX/HjnSpYHH64kkcUyqWOOeccygVi2Atidb4ysNLDdrZZ5/T3nXqxEGWagl3ohvu+MU6WOyVXu3mtUfnm8ZJhNba1WxQHtaKNPtAkegEVyQlJo4jMAYv9Cl4/hI14YnuC68Olm+xthUEt3roxKYcibHOv//oR1z3M6MkiaFUdF6oTncWkyRp0xOyfMVcpua1go57kiQJ999/H0899RRbtmzhoosuTnMPHYFTSMuBAwe47bZb+NGPfoTnKS686CJ+4UMfRuWjc07kTbNkcLmMQko83ydJjEsZkjLNtaTtYQEEQdCmRmSYqayaY6WiM4k1GjW+8IXPce+/3Ms111zD67acxvDwMEjQcYtDI4f5q7/4S772tdswRnPmmWeyemgIlVuteZFP8UsAk6byiJQR3mw0UEoQR7E7QAinaSREmlakprGqZxN6y7FSYaf9aJMwPj7G6OgIY2OjxFETITRJ0mR0bITPfvbv+cY3v8bIoYOsWbuWd77zJ7j4zW9ZYBMsR27WlwwuPmWMIU5irHFVrycmxtvqCnAMnJkcKxx2GndKKUF/fx9hIUw3tjRx0uLZZ3fxD5//R37wwx/SaNQ444zX856few9XXX01fX197bSkHLMjN1xLDM/zCQtFtDZoIzg0csiVIZ/G3u9GStrNuFx0KCcdGyfSfxcidOZYPnAvUQoIAh+lJL7vkeiY557bzd//3d9y0023UC4XOeusM7nxxnez7fIrGRwcclXKvXxozoe8dZYAglTbGxDKQ/oBRnoYLBOTk06Mzmbl3DpS126b2YA1HDzwEqNjI8RJhDEuiB+EAQBKevT0Vunt6aNU6nHxD+s4PJ0MhpnEwxwnAlYIDBKBRaTpbM1GAylhYuoIDz2ynYceeJCbv/IVJsfrvOWSi/il//xRzjnnPCrVXrTO8kbzKM58yA3XEqCtJiAEsbZEWlDu7afZahGERRf/yjqykGTaRGCxOgET8a1bv8J37/o2U60aLtAvGBxaRbPRwhjBaadt4uKLLuG88y5heN3JgMQYnRouOd1WHRvxJserAoHBQ2IQaKQQ9PVWKISCJ596hD/6v7sYPTiC0IbeSomPfuQjnHv+hRSKVRAKoZwyqyM15+9wLuRmfQmQKT2AK9LaPzDA2nXrqFToQtIFAAAGrUlEQVQqDAwMtEX6HFzmvE2Ni05iwPLPd93Nd79zNw898DSthmXdmvUM9q2lNhXz0AOP89d/+Tn+1//6bW699bZUzC8vCLts0ZVXlC3vfd9j7Mg4u3a/QKFYYHCwn1q9wWOPPsbk5AQ2rQzc5rjm0fl5kXtcS4CMxpAVaD333HP51Kc+xaFDh7jqqqsolYocRcq0ljiOkUhMEoMRCO3xlosu45Of+iQbNmzAk5KpeoO7vn8nf/M3f8sjjz7KPXffx3XX3cDGk09JpVfyWNdyhrXQbERgFWFQQvqGnt4+dD0iMYY/+dM/45TNm7nirVcTKA9wOa12evpBjhnIDdcSoLsIgZSSarXKFVdc4cTygoAg8GdVwEiShGLgIYCTTt5AtVJlzdB6Tlq/iVKhlIohVnnnO2/g0Yd3sHvXHid13HBywvmkvFzRFcW0jvbSaiYUChXedd07+MAHPsALz77AJz7xCUZHD/GZz/wZSknefMk2SsUerJVpZZz8Bc+FfKm4RFDKaahLKfF9n1KpRLVadQKJ8mhFByGgEIZt/letNoXRCa1mAyVUqgEh8JAU/IBAeUhkWg1bO8VQM5+SRI4Th84OsTaGw4cniCLN8NphLrlkG1u3nsUll17BL33koxRKFZ5+5hm+9OUv8tijj7i8RcMx5Kz+eCP3uJYIs/GzOp/NkQArUh0Va2k2W0RRiyNjIzy3+ylWr1lNsxlRm5riqaee4sEH/o04qtPXt4qenh4nV601UuZxruWF6ZIu1kISaxqNFkJIyuUe/KBEtbfEje/6Ge7/4b3seOpRHnzwAW675asM9a3hlFO25DGuBZAbruMO2/7DSZK4cGycaMCw59ln+Nxn/4beVX1MTkxQq9XYseMZdu/ehfIsw8NrKRTCdlm0HMsdLmsiiROiSNPWZJewZt0wH/rQB/mz//fHPPHok9xxx/fYsO4U3vNzgwysHjrRN76skS8VjwvENJVO0dZfAoTAWImVCiug3pzk+eef47HHHmXX7l2Mjo1Srhap9lYQEnbt2sVDDz9Eq9VM42aZaOBM0bYcJwoiE7CyIhPWQno+yvNR0nMKElikgMsuu4yrr3kbq/r62bdvHzd95Sb+5d570iLCOeZC7nEdLwhJtrMosEicNqVFoa0kKFewnmTdSRv4xV/6T2x53evR2lIqF6nVJrnzzu/yuS98gXvvv4/YGLZu3crQ0GrCoFMB5ziryeSYDTYT9XKUF+n5rF4/zNDwOlavXk1vTxVsnGr4CyqVXm684efYt/cg3/3u9xidHOPOe+7gnT/1DgJKJ/ZZljFyw3VcIab9X8b/cmqaCisVq4fX86aL30xPTz/CujqHg6uH+PkPfoDDE+Ps/PRn2L9/f1pE1VtY1j3HcUcm3mcFhMUC733f+9h6+un09/ezYcNJMzS7BCefvJGPfOSXOe/8CxkfP8K5556Xq0MsgLx1lgkazQgpFaVSGalUu+KytgZPSoJCkYHBIXp7e9JisWmdQpXbq+UMpRTnnnsuZ511VltzbabsmrWw4aSNrBve4Goael6ejL8A8hjXCUZGaQgCH20NUaJptmJcSo/A8wKMsTy94xm2b99OrV4jDEP8wHels/Jw1rJGRk4OgqBNl7Gp5nymKCKFqxJUCAsUCyU8L8iJxQsg97hOILoL2Gb18Xbu2s23v3sHa1YPMzkxRU9PlRdeeI677/lntm//d6RQDK9bT7VSJc/DXf7IdNami0SmSiG2c4wS3YKS5Kz5BZAbrmUAKSVXXnkFlhjpSQ4ePMShkSMcPHiYDRuGSZImp27eTO+qHlb19LJt2+WUSiWkUHn/XiEQRwUj53aVjy4zlmMmhE2n/e7S9jORSwq/OkiSpB2gPzJ+hCMTh4hit0zUCYxP1BgcHCAMFUpZmo06YRAwNDhEEIRIIREiVYeYVmjjxK4ff5z7y4/zsy8Wr6TGQm64ThCste3KL1prEKBtnFYMkkjhAVntPetKV+kEjMVTKi1lJ9rH5YZreeDYn32hY177wcvccK1QdLertdaVrgdsWpcvfTFtfa2ZpQo7S4rl9W5+nPvLj/OzLxavxHDlMa4TiO4OLkRWDbsTlxXdf+k2Tvm4yPFjjrbHlSNHjhwrBfmGeo4cOVYccsOVI0eOFYfccOXIkWPFITdcOXLkWHHIDVeOHDlWHHLDlSNHjhWH3HDlyJFjxSE3XDly5FhxyA1Xjhw5Vhxyw5UjR44Vh9xw5ciRY8UhN1w5cuRYccgNV44cOVYccsOVI0eOFYfccOXIkWPF4f8DDTkTMSDgcIAAAAAASUVORK5CYII=)
In the circuit of fig. the bulb will become suddenly bright if :
![](data:image/png;base64,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)
physics-General
physics-
Two different loops are concentric and lie in the same plane. The current in the outer loop is clockwise and increasing with time. The induced current in the inner loop then, is :
Two different loops are concentric and lie in the same plane. The current in the outer loop is clockwise and increasing with time. The induced current in the inner loop then, is :
physics-General
physics-
A square frame ABCD of side a and a long current carrying conductor PQ are arranged as shown in fig. If the frame moves towards right with a velocity u , the resultant induced e.m.f. in the loop will be
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)
A square frame ABCD of side a and a long current carrying conductor PQ are arranged as shown in fig. If the frame moves towards right with a velocity u , the resultant induced e.m.f. in the loop will be
![](data:image/png;base64,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)
physics-General
physics-
The magnet in fig. rotates as shown on a pivot through its centre. At the instant Fig. shown, what is the directions of the induced currents ? (in wood)
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1duxZnz57FoUOHcPjwYRQVFaGwsBBDhgxBnTp1kJ2djcGDByMrKwuCICAQCJzXZ65U+5SXlzMFSgqE53mUlJTAaDRi+vTp+PnnnwEA/fv3R25uLvbu3YuUlBR06dIl5DvILUF9zWAwIBAIYM2aNThy5Aiys7MhyzLKy8sxadIkGAwGnDhxAqIoYuDAgRHJ7vF48Mknn2DdunXgeR7XXHMNHn74YXz//ffYsWMHTCYTRo0aBaCiDysNNFoJmEwmpkD9fj9mzZqFr7/+GvHx8Zg8eTJcLheOHz+O7OxsTJgwAX6/n42n6uB0OvHAAw/gu+++g9frRXZ2NtLS0vDLL78gNzcX3bp1g9VqZRNTSUkJvvzyS8iyjJSUFJSVleHdd9/FyZMnUbduXbz22mv45Zdf2LFx40Zs2rQJ69evx+bNm7F3715kZGTAaDQyw4zneWYYVtWWMWP5GwwGHDlyBN999x1sNhtThGvXrsW6deuwceNG3HbbbRENcnIdTZ48Gfv27UNycjI++ugjfPXVV1i4cCEKCgrOW6pWJ1tOTg5WrFiBEydOwO/3o0+fPsjLy8OGDRtYhyVXUk3wer34/vvvcerUKeY/fuyxx7Bt2zZ88sknGDx4MCwWS8Sc4ry8PHzxxRcIBoMYP348RowYgTvuuAOzZ89Gs2bN0KpVK+Tm5mL37t0YOHAgCgoKsGvXLtx88804d+4c9uzZwyw0miAqg5SU1+tFRkYGWrRoUaNsVwMEQYBOp2MK0WQyoby8nL1nWZbRqVMn3HTTTZAkCTNnzoTJZGK+WYoN1a9fHx9++CGsVivuuOMOcFxFbX+6RyxY/4Ig4Oeff2YKQ+m7P3LkCFauXMksy0aNGjHFNWvWLNSvXz/EXQOAFcSjEtdpaWlYtGgRkpOTsWLFCqSlpSEhIQEtWrRAfn4+PB4PVqxYgW+//Za1SXWWvyiKSEhIwKlTp5hvPz09HQcOHADP8/jyyy/xzTffMGWo1+vx2GOPsbjNmDFj4Ha7MWfOHDidTgDAuXPnIAgCysrKIAgCzp49C6fTid27d6NVq1bsmWuy/K1WK44dO8bGVefOnaHX6+H1epGbm4sRI0bAbDazmCbP8ygqKoLJZGJFAc+cOYO4uDhMnz4dBQUF532PMv4pyzK+/PJLjBo1Cvfeey+MRmNEbp/LXs/f7XazFPjy8nJ8/PHH2L59e8i5dOTm5iI7OxuCIKB79+7o06cPXnnlFfh8PrRq1Yp1Opqp6TvCKUpBELBhwwZ4vV5YrVa0b98ex44dw6FDh9ClSxckJSUxjjad7/f7odfr4fP52EqB4zjs3buXvUxBENCzZ0/8/vvvKCoqgsfjQevWrVG/fv3zuN5VteUPP/yAYDAIURQxd+5cvPjii8jNzYUoimjTpg3q1avHOllN7X769GkcOHAAsiyjSZMmSEtLw7p162C1WtGqVSukpaXhzJkzyM7ORu/evWGz2XDgwAFkZWXBZrNh9+7dIQFicgU5HA7UrVsX+fn5EEURSUlJKCwsxPXXX4+33noLnTp1gt/vZ4wWqlVfVT+oqc8oP69u0F/IuZHIowy6E5588kl8+OGH+Oabb9CrVy/mliTrUTn4yI1Gf1c2Llq0aIGioiLk5eWx1RTHcSzeEk37RHNuuPZRxnrcbjdmz56NQ4cO4ddff0VxcTF7/xzHhbgD6Rr6H7mHfD4feJ6HwWBgNGxqB41GE+Lb1ul0bAVJG90DYIQFjUYDo9HIVkRE/qgMkqPy2LdYLMjPz4fFYkF5eTni4+MhSRLTPySrxWJh22+S4UPltwkGgwEFBQVMJnruSNqdJlBqJ/Ln22w26PV6Viac2lTptqH2zsrKwpAhQ2CxWNjYBICzZ89i1qxZcLvdSExMxLBhw7Bq1SoIgoBp06Zh4sSJLF6QkJBQZT+47Mq/vLwcwWAQ+/btw6hRo1BWVhbSwMpzlb9Tp6BlC32XJEmsoBZNBD6fL+T7DQYDBEFAgwYNYDKZsG/fPgiCAI/HA6vVyjooMQGsViv69u2Lxo0bY9++fdixYwdGjx4NURTDLvN4nsfatWtx6NAhSJKEunXrIjMzEz/99FONHUMZNA0EAsjMzMThw4eZn9jj8UCv1zO/Y03trtVqodFo0KVLF3To0AGff/45c0dRByTWRZs2bdCzZ0/Gdvjmm2+Ql5eHSZMmsbgADVqDwYAlS5bA4XCwzUqGDx+OlStXolGjRvjggw/QrFkzFhBv2LDheW602qT8KX7i8/lYf+vTpw/27t2L3Nxc1qeUfbM6ebxeLxwOB6vk2bZtW3g8Huzfvx9WqxVlZWWIi4tjk0Y07RPNueHah5g3LpcLZ86cwahRoyBJEoYOHQqr1cqMHqXyJ/A8z55p8eLFKCwsRPv27dGtWzeYzWY4HA5IkhS2jXieR48ePdC7d29mXBEr6IUXXsB///tf+Hw+rFmzBi1btoTFYmHPUlVFVOVz0r0eeeQRthrevXs36tevj2AwiA8++ACnT5+GyWRC//790aFDByZn5b4bCARQWlqKCRMm4JdffoEoijh+/Dji4+MvqN3Ly8vxyiuvYM6cOWjQoAF27NjBCv4pr6PAsnKCpoAwTXgulwuzZs3Cu+++i5UrV6JXr17YtGkTJk2ahLNnz+LZZ5/FuHHjYLVaYTAYquwHl93to9FoIEkSPv30U0iShB49emDBggUhjUVCVf79rbfeQnJyMv73v/9hxIgRWLlyJWbNmgWv18sClQDCdjSiqRmNRkiShNLSUvz888+YP38+DAYDRo4ciQceeACCIIDneaSlpUGn06G4uJjNmGTNhou2/+1vf8OIESNw/Phx2O12vPvuu/B4PDV2DAAhAVfyjb7//vt45513YDabsX79ejbx1KSwSLmnpKQgKSkJAwYMwAMPPIDc3FwkJibi888/h06ng9/vR0JCAtLS0lh7PfDAAwgEAkhLS2NtRQFnh8OB1q1b4/HHH4fNZsOAAQOwYMEC9OnTBx9//DFGjx6Nzz//HK1btw6x4GozSMlQsBMAmjRpEjIpEo2zJlC/kiQJK1asQGlpKR5++GEWCNbr9VUG2S83aHzpdDrcfffdSE5Oxttvv41rr72WsV/IQKncn10uF1wuF+Lj49GjRw/ceeedMBqNePDBB5GSksJ2NAsXTyOao06ng8/nY0rObDZj2LBhWLp0KURRhN1uZyQDGgeRQBRFeDwe3HrrrVizZg0rp81xFcl699xzDwKBAAtiE8J5DmiSe//99zFo0CCcOHECBw8eRLdu3aJs7T/uN3r0aHz22WeM7ReOIajVakOUPnkAaBUkiiJOnjyJL774Av369cP1118Pj8eD9u3bY/ny5Rg5ciS++uor3HTTTUhOTq6+vS7oSaKAz+fDkSNH8N///he9evXCkiVLQnzjVSn/YDCIuXPnMirY1KlTkZGRAY1Gg+bNm7PlUbiBeO7cOTRt2hQul4tR1+rWrYtrrrkGXq8Xr732GnJyclC3bl0WeKGOmZycDIvFwnxy4dxKHMehfv36eOihh/D4449DFEXodDo0bNiwRuVPwSeiaJHr5LbbbmOW+LFjxzBkyJCIlb/dbmcTVIcOHfDee+9h8ODB8Hg8KCsrQ9u2bSEIAmNakM85PT2dsYCUNWmI1tigQQOYzWacPn0a06dPh1arxZgxY9CjRw906NAB8+bNw/vvv3/VUD+Jly9JEo4ePYozZ87gkUceYTEYWpVFArvdDrPZjOLiYkaXbNWqFVN4yrIQfzbsdjuzLAsKCvDCCy+gQYMGTGFTJj25JpQQRZG5QCiQu379ehw6dIgxW86dO8cMCiXIHUK+8GAwGNKeHo+HMYJoPPr9/ojzIYLBIEwmE2644Qa0b98eGzZswGeffYb77rsPZrMZPp+PjROHw8Go1VXF1zQaDcxmM0wmEyRJwvvvv3/Byl8URTRu3JgZFh988AFmzpx53iRJsUNigwFg/YX+V1BQAJvNhtTU1BAd0bhxY4wePRpz5szBkSNH0LJly2pluuzmWm5uLh566CFcd911eOedd5hVEUmiBHXALl26wOv14uTJkygqKmKJRxRQq3xtfHw8Syihvy0WCywWCwvc/PrrryyQwnEcW6FoNBrExcVBkiTmF+R5PuzRsWNHpKenM+UZyXMR00AQBPZ8BoMBnTp1gkajgSiK+Pnnn9kEWNNBstvtdnAcB51Oh86dO8NisaCsrAxbtmxBUlISKzvs8/kgSVIII4MqUzqdTjgcDkZtXb58OY4ePYrly5cjPT2dsUEyMjLw8MMPY+XKlVi/fv1Vk/hFFqvBYMCcOXPAcRyaN28Oh8PBJsRIEwOtViuLH/zyyy+YMmUK+vfvz/jzpASvhPI3mUzIzc3F8OHDUb9+ffTp0wdxcXFsYxqiBJOLS3kUFhay4H+TJk3QtWtXCIKAxYsXIzk5GbIsIzU19bzrlP5toEKx+nw+OBwOuFwuNGrUCFlZWZAkCatWrWJsNLLaKR5T3SHLMpxOJ1tdeTwebN68GUajEfn5+QD+MCwTExORkJDAJvXK93I6nbDZbGxlTbohEjnCHaTPRo4cCY7jsGrVKuTn5593nk6ngyRJbBzSREk/t2zZgueeew5dunTBjBkz2CqGnp/cQyUlJTX2rcuu/Pfu3Yvs7GwMGjQISUlJITz26g69Xs8GIx0Ulae/6YVUvpb84Gazmfm88vLyMGXKFPh8Ptx///0YPHgwNBoNy8okK4CWuuTK0Gg0YRU/rSaoE7/44ovMPaCkylWWzWg0smczmUwhLBtaZYS7LtxB1oDJZEJycjJTKrIsIyEhgclPQS2DwcA4zQaDASaTid2DnttisTCXxNdff43WrVujU6dObGBrtVpmHUuShLNnz7LnqM2g1Z/P58Pp06fx/fffIzk5GQMHDoTZbGZKO9q9eE+cOIF169Zh6NChIf3rSuZLcByH/Px87NmzB3379kVGRgbr13FxcUhKSmLvtPKRlpbG+l95eTl27doFn8+HrKwsZk1TH1YeNKlSX+N5niUhUv+lsXr8+HHWVmQFK/VAdQfRHcktTKtjGg8+ny+EX6/VahEXF3fefcxmM+Lj41lcDgDy8/NRXl7O7kl8/EgOMuwaNGgAWZbRsWNHxMfHh7QX/STdZTabGeWbdMPBgwfx66+/YvDgwahTpw6AP9yGgUAAVquVvbsrrvyJN9urVy/mcojkIAtLFEWkp6czzvqPP/4IACFWSbjrqYPS52lpaXj11VfRrVs3rF+/HmvWrMHnn38OAGzQ032JhUH3CSebXq9HUlISK8l78uTJkCCNw+Fgy3rloVTspHgpDXzo0KHgOA6bNm1CXl5eRO2kHGBK+aZNm4ZAIICVK1eyCVdpzdGzkQw08IEKq2znzp0oKSnBhAkTkJyczNxVXq8XkiQhKysLycnJePnllyNKJY910IQvCAJmz56NhIQE3H777awvKNss0vtJkoR33nkHTqczhL5LE+WVmjCVK45bbrmF0Q2Vz1fV2KK2MBgMaNSoEW6//XbIsszcf0QyqK6/0pgSBIERE8jVajQacfLkSQBgln9191MeFKeQZRmDBw9mq1vlOK6KxBFujMuyjPj4eEyaNAl6vR7r1q3Dvn37WGyP3FORyGaz2fDoo48iPj4eEydORHl5OY4fP84MT3pGZV+j9lLKpzQsyRihUiF6vR6TJk0KoRtXh8ve+9auXQuDwYAbbriBJXxEAuXLrF+/Plq0aAGtVotvv/32PKpZJAgEAkhISEBqaipatGgBl8uF9evXQ6/Xs9k5UgVGSpOUoN/vx8mTJ5GXl8eWaJRmHQlkWYbJZMKNN94IANi9ezeKiooiujYc3G43U/b79+9Hbm5uRNcpk0LWrFkDp9PJgsWkzICK57/xxhvBcRwSEhJYh63NIJeB3++H0WiE3W5H//79L+p+ZWVlyMnJQa9evc4LMl5JaLVabNy4EVqtFj179ozYlUWgmJHf70fHjh2h1WoZVRNAxKVJyF0hCBVZ9N26db/unlMAACAASURBVGOGCiV+UkZ8NOB5Hv379wfP89i1axdWrVoFo9EYlZuNFLDT6URqairq1avH3EGUrRyOaloVEhISMGvWLDRp0gTr16/HTz/9xOr3EPuRJpya0LhxY4wcORKlpaWMmUd0bY/HA51Oh/nz59d4L578RJfzoIeipJFIriElSjNY8+bN2YxHSp/uGen9yMc9ZswYGI1GnDhxAuvXr2f+flp61XRwHMfq5YwaNQo8z2Pnzp3Yu3cvY/JotdoQP1x1h9/vh8fjYS4XvV5/Ue1tMpnQvn17tGvXDk6nk/n4I3kuak+qS0PyEAeblLzJZGKxBmXCUm09yLKi+k233347rrnmmou6H2Vf9uzZEwkJCSF5AVf6+PLLL1nMjFa5kVynzD8RBAG33HIL9Ho9iouL8c0337BYRiT3ojFO2eOjR48GUOEq++WXX5hlS1TlSO5HY04URTRs2BClpaVM50TznAAY26hBgwbIyspCMBjEsmXLWN0wciFFKltiYiKaN2+Odu3aoaysDIsWLQLP8yElHSIZR3q9HomJiaxUBQCWo0DlZvLy8hipoEqZInXDXOihfBiO49hSrqaDzqfg7rhx41ig1O12M2u0KrdPVctVv9+P9u3bw+12Iz8/HyUlJdW6j8IdZNnTBED/JyVJgVWqy1HTQYlo7dq1w7Bhw+B2uy+4vWW5gu9cr1495vubPXt2RNfSYJTlClZSZmYmWrZsGRJgpgFUWlqKW2+9lVllSgVaGw+gwqI9cOAAVq9ejfj4eJhMpgu+H7k3aABSMa4r/Zwc94dLlSqSRuq6oOeiBC2lK8XlcuHYsWMhq8dI5KBxScy6QYMGwW634/jx46yab6T3IyVLSnDw4MEQRRGLFy9mzKJo2onGL9FRtVotdu7cydyfylIYkTwrx1UYV+Qqy87OZh4EonhSP6zpOUkHKe9N/Y0S9Goak5d9rU5RaipwFc2SkDobJWLxPI+cnBx8+OGH4DiOlW2NBOSPJIu1adOmkGUZbrebrQgqJ4tVBaXfPjMzExMmTIDBYMCzzz7LeMzRLFUppVvpf3/iiSeYFepyudhAiOQ5qWZJx44dmbXpcrlCmAfKRDuC0nrSaDRITExEZmYmRFGExWJh7jGO4xAfH4+ePXsyZsjVACIPEF/8YuB2u7Fjxw4YDAY8+OCDMVUMj6xzysyOxn1BdaeIWJGcnIzMzMwQNlSk/UEQBFa8jALN/fv3h9/vx7/+9S8AYP0xEhARg0gJxHPftWsXo45Shd6aQAYrBV9nzJjBSnaQOzRc7KAq0NjWarXo3bs3jEYj9u7di2XLlrE+F008ifqoLMusJDWVkKDvq8mdd9lHrdKqUlpZNYEa1uv1wmAwwOv1smqIp06dAoAqMwmrAi0f4+PjWXB10aJFbHewaHyyFPQVBAFNmzaFw+FAcXFxxM+nhEajQVlZGWM1aDQa5OXlsXrxNLAigSxXuJFMJhPuuOMOiKKIXbt2Yc+ePazzBoPBsBmTpNjpGY4cOYJ9+/aFtRpoicpxHLNoazt8Ph/eeecdeL1eTJgwIWKFGA6yLOOrr76CTqdDcnIyc6/EEsi9SBvPRAIyyJT9ZOrUqdBoNPjss89gt9tRVlYW8b2UKwqytgVBQHFxcciqKRIoXZMcx6Ffv36sgu/ixYvZXgKRQqmMiXlTXFyMLVu2sNV5NPESWa7wz/t8PtStWxcOh4MFj6OJObpcLhQWFjJKPLHzOI5jBoyyHERViFmTjRrVaDSyYlr3338/bDYb3nzzTZSVlZ1Xi6Om+1HQze12IykpCRzHYffu3YzXHs3gFASBLZfvuece6PV6lJSUsIqF0UxKFK13u9148sknWcncL774giXBRKqIaDC53W5YrVZcf/31KC4uxtmzZ9lSsComAMlN+8ueO3cOR44cqfK8NWvWMOvtaoDZbMbBgwdhNpvRvn37i1rRyHIF0yQ5ORnFxcUAELEFe7nBcRwLWpaWlrJaOxcKWgnn5OTA7XaHZN9Hi3HjxuH6669HQkICzpw5E9WkSXLQWGnbti2jYh88eJCtqiO9F4AQV5LFYoHNZsPevXsBgLGkIgGt7L1eL5KTkzFy5EjwPB+yaUykOHnyJFasWMGo2spqADRhUX5Ctc8Y8Tf+yaDgK8dxLLkoKSkJWq2W1U2n5V0kIH8bVWccNmwY6tSpA0mSsGTJElYOIhKQXECF4iaucmlpKX799deIaFZKEONBr9cjISGBxQ1IJmWgNZLnJAvIYrGgZ8+ekGUZ27dvZ3LTaqIylGwDskbCWQ90znfffcfuczFWcixAlmVGz23cuHFUS/pweOONN2Cz2XD//ffDbDazFVIswO/348EHH4Tf72f5LFXVzokEvXr1wg033ABRrCgnfrF9gZLN3n33XeYSiQSkM4A/+P1NmzZFIBDA6dOnUVJSEvFz0uRNKyODwYAxY8aA4zjs378/hAoeKag/UakVjuPwn//8h3k3IjUOqNidMu4JgOmdQCCAjh07Xnm3D81ISgZAJCAlpuQdZ2Vl4brrrkNJSUnIw0cCnufhcDjg9/tht9tZITKfz4fjx4+z4F40LAXakIHjONx+++0hPHrqfJGA/HNEbSUG0ccffxy25nt1kGWZWe6USOP3+/HZZ5+xd0H+z8rPRVnHXq+XBbXCMaCIokfunmjcBrGMX3/9FeXl5fj73/8eVSyjMktElmXYbDZWg4oYIZGWhrjc0Gg0SElJgSiK+PDDD0O2/ryQgzLiBUHAvHnzAFwc8+vWW2+F0+lEeXk5AEQ8LomdQ31Ro9HgH//4B/x+P9asWYP8/HyWl1PTAfyxNSutbFu0aAG/34/ly5ejvLw8KmaTKIooKytjfeHGG29EamoqDh06BFmWYbfbQ8gT1eke0jGUw0AKHwDTmSNHjmSF8arCZVf+r7/+OgoKCjB79mz4fL6Il5ccx7HsPvIDZmZmstTxf/7zn1H7KhMTExEXF4eEhATodDpkZWUxSiMpTWJluN1uFhil5C06yIIji1yr1aJ79+7gOA4zZ85ky9VIlQdV86QgWqdOnSCKIg4fPgyXy8WompGCOpMkSWjevDmzpJR7hZL1oDyAP5bODz74IK699lps2rQJbrcbLpeL7S9MKwhRFNGrV68qVwi1CRzH4dChQygsLGSxpEjfH+0nS9UyT548iX379qFFixbIyMgAgPPq3V9JUGVcj8eDs2fPshpTNAko97+mFShtjUqGg/IIBoPo0aMHK7UC4LxzIj20Wi26dOkCjuOwePFibNu2jRmPlQ9qb2p/ZcIjrdyIdUf7YtPPSA6LxcKse0EQcO211yIjI4NR1ktLS5khqDyIuk0BZvpOq9UKjqtgBbZt25at8h9//HFGOAlXwkWWK3JG3G43xo4diy5dumDq1Knw+XwoLi6G2+1m72bmzJlwOBwwmUxX3vJPSEhAXFwcCgsLUVJSclG+RXL90PIyGldNOEyYMIGVMfj9999ZgJkYRgDYsrhyx1L61txuN+rWrRtSO5soV5GA2DWUmNW7d2+kp6fD7/cjLy+PldiNBBxXkU1ItdP79+/PgkvLli1jy9hwzwX8sXNXMBhEmzZt8J///Ae5ubms/C6tBN5++2243W4MHz4cAGrsaLGOQCCAoqIitG/fHjfeeCNz1UQC5cAFKsr3rl27Ftdccw3atWsX1Qr1z4AgCLjuuuvQq1cvfPnllyFuDFoN0/sOBoOsnIeSjaY8AoEABg4cCI7j8Ntvv2HLli1hz4vkoBUr5fIoA8KVv5OYRRzHsVr9lRVn586d0bVrV/A8j5dffjlsv4/06NSpE6677jpoNBrMnz+fUbvDPQOtCGhcKXOWlDXI2rZtCwDYv38/2zy+suKXZZm5vrVaLcaPHw+j0YhXX32V1RviuAr69eLFi9G6dWv07t37ymf4du7cGT179sTHH3+MwsLCqLP1lPB4PHjwwQfBcRyys7OxZ8+ei/IvBgIBuN1u5OXlwWazsR18KEuOZvDKTBeyfiiAo9Fo0L17d3Tp0gXBYBBr1qyBzWaLOPClrNgnyzIaNGgAq9UKnU6Hf//731G5ywCw6orKQlF+vx+7d+9mjKJwnHOKPZCP84477oDX68WCBQvAcRzi4uIQCASQm5uLZcuWoVmzZqykbCwptwuBw+HA/PnzwfM8e2/RBHyJxlxaWsoYWzSAiYIXKwHfYLBic/P7778f+fn5WLduHYCKNrDb7TAajSGWM1nk1D8r95tz586xJLbS0lJGLrjQIz09Ha1bt4ZGo8HSpUvDfqeSaOD///tUK9lqdFitVra6LykpCXuvSA/qD4IgIC8vj+mByufRVqfK+j/h8psmTpyIrl27Yvv27fjxxx/Dthvwx4bt9KxkUPz4449si9pgMIhvv/0WxcXF0Ov1MJvNsNvt1faDy84983q9mDZtGtasWYP77rsPixYtgtVqvaB70S5Ayig5+RovBD169MCYMWPwzTff4Mcff0T79u3Zxu40UMPNnuS3I5oVuVQoX2DdunUYM2YMU6Y1gV4yWTG0dJQkCWVlZSE1vmsCDVBlEOnpp59mu1I9+OCDaNSoUdh7kcKiInrk1vriiy/QokULTJw4EQUFBdiyZQu2bt2K559/HomJiSwAX9tBS2WdTgen08mK/UUCUgKJiYlYuXIlOI5D9+7d2cQYTeDyckMQBJSUlKB///7IysrCCy+8gMOHD2PBggWsIiYZNkajMSQPJlx7pKSkoKCgADfffDPWrFnD2DAXAkqeSkhIgCRJWLlyJaZOnYrmzZuHnMdxFTvsHTx4kI1R5eRKSt7tdqO0tBQ+nw+lpaU4duzYBW9DKssyRo4ciR9++AHr1q3Djz/+iMGDB4c9d/Xq1XA6nczlRCsnJebOnYvi4mJmMOzZswcHDx5kz0cgY40mt9OnT0On02HXrl144oknMHnyZBw5cgQLFiyAIAj45z//CY/Hg/j4+Gqf50/Zyctut+O5557D119/jfT0dCxZsuS8c5Wulurue+jQIYwcORLBYBD9+/fHa6+9xmZkJT2rsuzKe1KQ5MCBA/jHP/6B3NxcGI1GvPLKK7jhhhuYj9Hr9eK9995jL6SyLOQeSUpKwt///ndMnz4d27ZtQ1JSEubMmYNu3bqFMBDCtQ/wR6cl61uj0WDEiBFsz4F///vfuPbaaxmzSflMlScnCsj+/e9/Zwk4X3/9NQ4fPgwAGDFiBKZNm4YpU6YwPjDdk1YfJpMJRUVFMBgM2LRpE0RRRHx8PJo3bw6e59ngzs7OZqwiyjas7jmr6zOV35fyuos9N5w8ypLYHMfh6NGj6NixI959910MHz6cUSDJUKlOdvLv0sQ9cuRI/Prrr/jtt99Qv359uN1uVqGWDIdox1Tlzy+mLSVJgtPphNFoxJEjR3DXXXdh37596N69O/7v//4P27Ztw9q1awFU5AI0bdoUkydPRiAQwNy5c5GXl3eeDIFAADt37mRtS5u6Ryu7LFckXv7222+MCNGwYUOkp6eH9FGtVosTJ07g9OnTzD2izDeh7+B5nhk1Wq0WGRkZqFOnTkghtZryVOhegiBgz549rEpus2bN2GSoHJOBQAC7d+8OiYlQeXklaBUeDAbZTnGUI6F8d+RO8vv9LOeJ4zg2sQAVRuo111yDt99+G61bt2aJmbSCC9cPLrvy9/l8bOn48ssv47333gspWqZ8SZU7SDhXB/liqQAXzZrBYBAWi4XVXlf6KXU6HbOElXt2chzHgnu0BR3xgsm3T6uMmiDLMluKKhMuaGVC1pMsyyzuUV1b0raOxMChgUAdn6x78vfpdDrGAFDmIND1FouFWSBGo5HlNnAcxza9IauXFBmtXMgPS3zizMxMPP/88+jbty97R+GokbGs/KlECCXr3XXXXVizZg22bNmCJk2asHdProXqZCffOBkNY8eOhcfjwbvvvouGDRsyVoaSj30llb+Siux2u7Fw4ULMnz8fNpsNVqs1pB4U5cfodDo2tiqPS8rAJ/dLWVkZ2weYVq20mq0JJDOt8D0eD/r374/4+HgsXboUZrMZaWlpuPXWW9n+vLt370br1q1D3HRK48jn8+Hll19mz0NjxeVywWq1soB2TZBlOWR8aDQa6PV69pw+nw8TJ05EvXr1IAgCtm/fjqZNm4aUCVHC7/fjyy+/xIkTJ2A0GlFWVsbGclZWFrp16wan04n58+cDAEaOHIkWLVow11zl5+zduzdbbVL/rU75X/Z1qCAIrMEefvhhxMfHY/PmzSENClRYGN999x10Oh3S09MZS0IJUsw6nQ5ff/01RFHEgAEDUFJSwqysTz75BKtWrYLZbMbQoUPh9/uxceNGHD16FKNGjUJKSgpkWQ7x57dt2xayLKNFixbQaDTIyclBq1at8MEHH7BJpSpQ4+/YsQMfffQRcnJykJ+fD51OhwYNGmDv3r3Q6/UYOnQoc1VFMug5roJPXFhYiIEDB6JHjx6YOXMmDAYDpk2bhqNHj8LhcOCpp57C0qVLsX//fnBcRenqSZMm4Y033sAtt9yCTp064ffff8e9996LoqIidOjQAW+88QY6d+4MrVaLF198Ef3790dubi4mTpyIY8eOwWq1Yvr06Rg8eDBbbZBf8aeffsK1116Ldu3aAfgj/Z5cVrUFJC8VwTp79iyaNm0Kg8HAAnmRPo9Wq0VBQQGMRiO+//57bN68GU8++SRSUlLYQKXYUCyAKJFAhavr3nvvZUXVfv/9d7jdbuYa+e677/Cvf/2LUY6/++47NGnSBEBoPafy8nLExcWhe/fu0Ol0GDVqFFwuF5YtW4bbb7+dlWtQXhcOFEANBAKYMGECsrOzkZKSwvz21113HRYvXoyMjAxW8sRutyMxMTFk+0j6DofDAZ6vKJ724osvYsyYMbj77rsxceJEeL1e3HPPPZg8eXK17aWcSDds2ICdO3fi22+/Rbdu3dCxY0e88MILACpWwjQJJiYmIj8/HykpKczwrOz2kSQJ999/P9LT06HT6RAXF8fcrePHj8eQIUNYHtFzzz2Hfv36YcSIEex5lLLR5EoTr3LXsqrwp/j8fT4fTCYTEhMTMWXKFDz66KPscyWHNTU1FU6nE8OHD8dTTz113mAhS83n8yE7Oxs2mw0DBw7Eli1bsGPHDowYMQIZGRmYOnVqSOR96NChEEWRlT6ll0DB3YkTJ+LTTz/F3XffDVmW8cwzz2DEiBFIS0tDMBis1u9LjT9gwAB069YNL730EhYvXsw2ktFqtRg2bBjmzZvHGDjU8atT/pIk4emnn8bbb7+NgoIC7NixAxzHsVpCVLRNEAQ8+eST4LgKChlZbG+++SazCBo0aID58+djzJgxKC0txfTp06HX65GamsrKXLRs2RIDBgxAo0aNsHHjRmRkZGDJkiV44oknGMsHANuJiFgGVdVHrw0IBiu2/du9ezeys7MxadIkNGzYkK2KlEqyOvh8PlgsFkYgcLvd52VeXgwx4VKDnokMkfj4eFYioEGDBszvXlpaitGjR8Pn82HWrFksOSk1NRXAH/22qKgIGRkZ8Pv9mDBhAhYuXIhdu3Yxi7dhw4bsGuV14UAuNKPRiAkTJuDQoUNYunQpU4JZWVmoW7duSIIacdvDBeiJwjp8+HB8/PHHWLNmDXbs2AGbzYZ+/frhscceY++qKiiVf0pKCoYNG4bdu3ejoKAAM2bMwDPPPINt27bhyJEj2LBhA5555hnmmnG5XGxjmsogl01aWhq8Xi+KiopgMpnQtGlTVt6dVvxarRZOpxM+ny9svgit5Cj+FonxctnZPqIoIi4ujpX+DTcIlFYjlV8NZyWR0hFFETNmzIAgCJg5cyaWL1+O1NRUPPTQQ2xyoMamXb3Ir6f08VFDDh8+HFqtFi+88AJmzpwJk8mE1q1bA/iDy1/TIQgCFi1ahCFDhqB169aYMGECtmzZAlEU0a9fP+j1+qiKe5WXl+Opp54CAGzfvh1ff/01rFYrZsyYwVZSHo8HPp8PcXFxbC9ScvNQKQue5+H1etG0aVN07NgROTk5WL9+PXiex4ABA2A0GhmzKSkpCTNmzEBqaipuvvlm/OMf/2D3oyUvufHItQbUzuxeWpGStUSxG2X9+EjZPjQ5er1eLF++HC1atMB9993HLE8qahgrdFilcqBJnNyI9H9yvfj9frYKJ8VSue9TImEgEMBtt92GunXr4vDhw9i+fTsSEhLYuIxkHBkMBuYWHTRoENq2bcsCwGazGf369WPuTmLJkZzhOPK0u1j9+vUxfvx4lJaWIicnB6WlpejatSvr25HIJssymjVrhu7du8NkMmHjxo1wOp2YOXMmhg4dijZt2mD69OlwuVzQaDSsvDK5m8LROA0GA5YtWwaLxYLExEQ0bdoUL7/8MhISEhAMVuxpsH//fsiyzEpcK5lkdJBblqqj0r7D1eGyK3/qVEpLlZaKSj8YdSqyjMNRsohTr9Vq0b9/f1ZQTa/Xo3HjxkhISIDJZILZbGYZmvQi6L7UMEr61Q033ICOHTuyjL62bdvixhtvZD7fynKEO3iex5QpU9CjRw/cf//9WLRoEURRROfOnTFw4MA/GpyPrHS02WyGRqPBvHnzUK9ePXi9XnTs2JHt9UvVO5W1/5WVS8vLy5nVwPM8kpKSsGTJEjRu3Bg8zyM5ORnjxo0DALbtHe17umLFCmYNybIMi8XCFKXBYGDLyVizaKMBWYvBYBALFiyAxWLB+PHjodPpoNVqYbPZIlb+xKoSRRHbt28PSRIzm81sEMYK2wf4w7dOLDKDwcCC21RIUKPRsK0GPR4Pi5dV7qs0uRkMBjRt2hSfffYZEhMTYbVa8fTTTyM+Pj6iPk8ykeKzWCx47rnnkJWVhXbt2uGtt95C3759Ga2T5CfdEA60yblWq8WUKVPwyCOPgOcrNnsZNGgQC7RGOsYTExPhdDrx0UcfMR/8+PHjMWjQICQkJMDtdiMuLo65p6tj+5FnoGPHjvjkk0/Qpk0bfPjhh+jQoQPrQyaTCZ06dWKxQ4pfVgZNAkRTptVCdbjsvVGZrBEOpDyUjBdSNJWXN9SY1CjPPPMM3n77bXTo0AGDBw/G2bNnWQYw0ZyUO2qR5a8MklBQ8/XXX8eWLVsgyzK6desGjuNYrf7qlIBySUirlSFDhsDv9+O9997DqFGjQqz+yhOe8h5K0KC68847Ub9+fZw7dw5xcXEhe6uSHzacPPR/Ws7b7XZYLBZMnz4dAJCeno42bdqEBIOUg4ksjcq+/MrxinCBrNoAynAWBIFZ7uTLBoDExMSIJzaKIdlsNoiiiEGDBrGNNi4mr+VygcYBQUm6oIkAABsrRKggBatk1dF4VfbhFi1a4OOPP0Zubi5uuukmlm9S+bpwUJIxZLmiLPmqVauqfBY6l3RF5TFFih+oULbPPPMMmjZtiu7du6NRo0Yhz17Td9BEScy22bNnIy8vL4TZRJ+Rq7imCZ8+79q1K9uilsaeElT6RWm0Vn7OcPetrg/HjClCnYzcGeFehiRJbImj1+vRo0cPliFHHZB47pFYWbQphSzLSE9Pxx133BGyJKNzIknWUq5UiKrZu3dvWK1W1iFISUQS+KOXT3xsqm5IMhOjKFKQ9TVq1KiYyzi9EqD3sX79ehQWFqJPnz4XfC+yyF5//XXk5uZe1PaPVwvat2+PNm3asBVRrAS8eZ7H6NGjQ8Y45TNEci3lAdntdiQnJ6NevXqXW+TLhphQ/qTIGjVqFJLUVBlKC4ReHiXm0BHNhjGklCtvQ0jgeT5iPz1NViSXIAgs65EmrHAzdFUgWWjjb9oog/yuyrhGTVA+H8kRCwPxSoKCsTt27IDD4cCtt956wfeivldWVoa4uDi2KosmQ/hqQmU3ZDQblfwZULqIohkL5C0g94pyNVAbERO9k9wYjz/+OHNRhHshkiSxCLnSbUMBSApORhpYo+JVSqucAkf0d6R1tqkjAH8sl0kWysyLhj5IASIKUANggWvaPjJSUNCaKJnKmud/VVDJC7vdjk6dOoWlFkcKWqbr9Xo0adIE9evXr7UK4VJC6cKpqc7MnwkaW+QpiHSME8lBo9Gw8t+1+T2LNSkBpT843P+ruyaac30+Hx566CGWMEL+2BBhFZQsr9fLltu0rKy88XlN8lAiCbEH6HryAVM10UjkV/oxydI3mUysyJMyUBZJ+9CKg5LZSFkRi0eSJJYtWpU8BLJWjEYjSzlXXqv8Ge6oTtZL1Q+qkj3ac0nmynEKWZbx+eefo0+fPkhNTYVer8epU6dYgK1Tp07Vylut71QUsW3bNnzwwQe4/fbbkZ6eHrb/RiJ7JM8czbmXoi2r6hNVyUMrXAqkEnU2UpkulexVQavVMtdyNGOcxjAVZSMDsXJyWaSyVyVv5WuVBd4oRlm5mkFN9w13nhhJwE75eVW/R3NdOASDFRsvbN26NST4q4QyO5L88BSsiWTpVlkeGpzKwDLN5nRuJMlL9Hk4vrtSAVRu60jahyY72oSC5KvO4gj3nCRH5ZyFyudWddT0HdXhzzyXMncpq9bj8WDPnj2YN28eNmzYgHHjxuH1119nWdBOpxNNmjSpMikmUnlo28H09HS4XC4Yjcao3tHFPPPlPre6/lDV72S8UNZ75Qn5z5C9ujFFbhsgujFeuYxJuAk+Gtlruo6MR71eD6fTyVZQlfVKtPcFYsTtA1RY4WPHjoVOp2ObpKhQES1ocFLpjwkTJmDUqFHYunUrXnjhBfzzn/9kNOClS5ciPj4eEydOvOjvfemllyCKIh5//HFGWVah4mJBrL9gMIhVq1YxmvelQMw4rLxeLxITE9mO9CpUXAhkWYbT6YTJZMLcuXOxfft29O7dG2PHjsWgQYMAgNE7N23ahJKSEtSpU+ei+pwsV2z5RzEjSvFXDRgVlwI8z0OSJKxbt47FNi8FYsbnTwMSqJ6jeiE+tdrgp44Fea4Gn7/dlRpZ1QAAIABJREFUbkdcXBwOHTqENWvW4Oabb8abb77JaLKUsEQWVHx8PMsovVCff3l5OYxGI0aPHo3ExEQUFxcjKSmpymuudp9/rMgeS/JEel24a4k0IssyI5Uoef4XKk/M+PxpNqvJ1xztfS/0uljxT/7Z59Z2n7/VaoXb7cYnn3yC8vJyjBs3DomJiXA4HIiPj8e5c+eQlpaGXbt24eTJk6z0NQA2uIgRRXRaiuVQEJfYIi6XCyaTCZ988gl27NiBu+66C7JcsaetVqtlJQ+oIKEythTr/aDyZ9H6/GNB9liTpyZU9xyU8Uuxk0shT8z4/GVZZoyA2lYhUkXsgPj2q1evZtm2HFexC5koiqhbty54nkdOTg7bCtRkMrEgMc/zsNvt8Hg8LLBOg0251aFycxa6v9lsRq9evXD77bdjxYoVKCsrY3RSCtypUHGhIKPkUrl9Ykb5q1BxKeB0OpGUlMRyJMK5rgDgnXfeQcOGDXHTTTcxPyrtnkY1V6pbUlMgrri4GKtXr0bjxo3Rt29fnDlzBuvXr8ekSZOwcOFCOBwOxjqKJa67ChWq8ldxVYHYPl26dIHL5cLq1avDKvGcnBz4fD5069aNVbUkiyoQCMBut9cYz5AkCSaTCT/88ANbDcyZM4cl5r3yyivYvHkzmyhqc0KQiqsPqvJXcVVBFEW4XC5MnDgROp0OX3zxBQvoKkGF3MrKyliZcJoAiJt+9uzZar9Lq9Vix44drGKkVqtlpAWO43D99dcjPT39vMJoKlTEAlTlr+KqgizLMJvNaNu2Lfr164elS5fi+eefRyAQYOVBli1bhvLyctx3331ITk5mLiK9Xs9S/QOBAH7++ecqv4fjKpILV65cyWrey3JFRdg5c+agV69eyM7OxkcffcTiByqFWUUsQVX+Kq4qkOVvNBrx7LPPwmQyYfXq1Thw4ADbVW7Lli3gOI7ta0xF85QBWa1Wi2bNmlX7XefOnUNeXh5MJhM8Hg/MZjMaNWqEiRMnYsmSJWjSpAm++uormM3mqDbyUaHiz4Cq/FVcVZBlmW3cExcXh0cffRSnT5/GXXfdheLiYsiyDIfDAZPJhLi4uJBifACYC4jnebZPcThQ/abS0lL06NED1113HRwOB7tWo9Fg5MiRsNvt+Oyzz+B2u2OqsqUKFaryV3FVgfaDoAqMDz30EB577DEUFBRg9OjReOqpp7BixQp07doVLVu2ZHXcqUAX+eZpOzwKBiurQNKEsXfvXmzcuBGNGzdGcnJySF0ot9uNZs2aIRgM4vjx46rlryLmoNIPVFxV4DiOWeXE/HnsscfA8zzmzJmDAwcOsICuKIpwu91sf13a+o5cQqT0iedPBQcpyWvnzp3QarVskyHl5tkGgwF6vR6BQADFxcUsq1jNX1ERK1AtfxVXFURRZAldVPJbkiRMnToVY8eORVxcHFwuF7Zt24Y9e/ZAkiR4vV643W74fD7IsoyysjIEAgH2N00ClGRD7KElS5bA7/fj3nvvBcf9sScEbbzNcRVbHNavXx9Op/MKt4yK2gjqf7TFJv3vUkBV/iquKpBVT4qfVgCBQABz5sxB48aNYTAYUFZWhnnz5uGtt95CUVER27hdkiRYLBZWN5029KEUe6/Xy5Q87RrXqlUrAGCKn1w83377LerUqYO77roLCQkJKttHxQVBFEXWl6lPXpL7xkpht5oKitUkT3WI9WJksSLP1VDYLRw4jmMul0AggJYtW+KBBx7AjBkzsHnzZnz22WeYMGECmjdvjk6dOsHlcjFXkEajgUajYXvRynLFlpo5OTkoKCjA7Nmz2d4BkiRBr9ejoKAAb7zxBpYuXYqsrCy2wxztWFdbipGphd0unTyRXhfuWoo7UdXY6vpQNPLETGG3SIqJXch9L0aeP/PcWJGnthd2C4dAIACXy4X9+/fj1KlTeOihh3DrrbeiYcOGeP3117FlyxZMmzYNVqsVvXr1QlJSEp555hm2WxMVcaP9eYuLi/HDDz8gNzcXZrMZwWAQDocDwWAQO3bswGuvvYa1a9fihhtuwJtvvon4+HhIkhSySVCs94PKn6mF3a5MYTfatQ+oWAFQqfBLIY8a8FVx1YNcQDk5OSguLobBYADP8+jUqROWLl2K/fv3Y9GiRZAkCatWrYLdbsexY8cwZMgQ+Hw+ZGZmol+/fmz/6E2bNmHmzJnQaDRYt24dioqKIIoivv32W2zevBkJCQno2LEjlixZgri4OHi9XpYUpkJFNJBlGVlZWbBarSgvL4fBYGD98GIRM8qf/Fg0QKrbA1WFimhAZRVOnDiBzMxMDB06lO20xXEc2rZti9atWyMQCOCBBx7AuXPn8MQTT+DZZ5+F0+mE1WpFvXr1YDQa4fV68fvvv7OSDUuXLsXy5csRDAah0+nQuXNnjB07FsOGDUNSUhKAitwBtbSDigsBz/Po0aMHLBYLysrK2P8uBWJG+VdW9GpwTMWlBM/zeO+991CnTh2kp6ezAUTLYPo7Pj4eaWlpWLhwIXbu3Mk2GVq8eDG2b9/O6vckJiaitLQUiYmJePrpp6HX68FxHAYNGsSqiiqX2Koho+JCQEUBlX9fVcpfGZTgeR5Op1NV/iouGQRBwK+//gpJkjBo0CAWvFUiGAzCZrMhJSUFsiyjVatWaNasGWNaTJw4ke0zMW7cOKxatQrbt29H06ZNodFo4PV64fV6Q/akUKEilhETPZRmM8qg3LBhA4qKiq60WCquEgSDQXz00UeQZRlDhgwJq5g5joPBYGC0TnI7UsCNdlAi7j8ldYmiCIfDwXbw0mg0jNWjQkUsIyYsf+CP9Hq9Xo/du3dfsqCGChWCIDBlTG6cqrJt9Xo9o9bRhi5Ur0cQBOzfvx979+5F9+7dkZCQwOidRMVTyzioqC2IGfOEkhc8Hg+8Xq/qI1VxybBjxw4sW7YMt956K1q1asX25FWC4zjo9Xrm5rFYLMw1RLV8JEnCqVOncObMGfTs2RNms5llEuv1ehgMBkaFVC1/FbGOmOmh4QajChWXAn6/Hy6Xi2X7hsuQrIrHThm9PM+zScBisWDAgAHMNaTcczqSPBUVKmIBMaP8Vai4XHC73RBFkVnqNe3PqwS5h2gC+P7771mOgE6nY5OKChW1DWqvVXHV48033wTHcXjwwQdZBc5IFDb5+4E/VgArV65EYmIinE5nSJq9ChW1DTFV26fy/8Ndp9b2+fPkqa21fYiZQzh58iT0ej0aNWrEgr2RJF0pK3USE43jOAwbNowVizMYDCHU0aupHk24Wj5qbZ8LkyfS62q6tvL9a31tH1mWQ3Y6ogJaVV2j1va5+HOpAiXP8/D5fNDpdMx/HQwGGc2xttX28Xg8KC4uRp06deDz+XD48GGcO3cOL730EiRJgtFoDOlbNdUE8vv9kCQJGo0G//rXv1BWVob27duzQm0UKK6u5k00zxlLbUmxEipcp9frzwuWx6rssShPTQh3nSzL8Hg8jEVWuUbUxcgTM24fsqQ4rmIzjktVtlRFeJCilyQJOp0ODocDgUAAOp2uVrsyOI5j5ZMFQcDmzZtRXFwMv98Po9EISZJYoaya4Pf7WR1+oh7Lsgyv1wtRFKHRaKDT6a5qWrLBYGClq1U3158PWmkFAgHEx8eD5/lLphtjRvnTjAYgZOMCFZcHlZeZZFnQ/71eb62chHmeh81mY1sxkt/eYrEwdo5Go4noXhqNhrl1XC4X1q1bh2uuuQZt2rRhq1Rlv73awPM83G43S3SjLS9V/HngOI7VkXK5XJc0ezwmlL8sy/D5fNiyZQt4nkf79u1Vnv9lBu1JC1S4NxwOB7Zt2wZZltG3b18Af9AWaxM4joPJZGKKftu2bbj//vvRv39/AIhqMwx6fkEQ8P333+N///sfxo//f+1de3wU1fX/zs7OvnezSUgECQiRYEFEP60VBAFFlLa2UZQWEbH2odRHa4tS+6siWPyI1D5AUbDlYSgICFhofCAPQdCUKFKKINaiEYEAee1jdue1M3t+f+C93Q0BAiYkwHw/n/mQD3tn5sy955577nndO3DhhRdykxmr2Hk2gvk7KioqIAgCSkpKEA6H25qscwpEhC1btkCWZQwaNOjsq+0jCEeOu3v55Zfh8Xhw7bXXIjc3t63JahWwLRwbQCaAT7cAyRSCTFuuqKiA1+vFd7/73azwxjMJlmXxxKvp06fjH//4B9566y3k5eXxNiejqbMTu1566SU4nU6MHj2aa2OWZSEQCJy1wj+dTsPv9+OVV16BKIoYMmQIOnXqdFre2/jAkuZGZzGzMfNbNXdsmnIYtwfeFwQB7733HqLRKG688UYeXNASynG7Ef5erxeJRAKyLEOSJHg8nrYmq9VgGAbfyjEGPd2MxpiblTZmdKVSKQQCAV6y4EwTbGxHIwgCPv74YxiGAY/Hw78HQLMjc5iTk/XVddddh2AwyHkzcxE5G23h7AQzVVWhaRpSqVSr84NlWTyZTpZl7qDP5NNjIZFI8OMOmS+rOUKSiJBKpfhcZLWb2kupjnQ6DcMw4HK5eDBMS6Dtl7ZzDOzwbzaYp2NCnUtgVWFra2uxd+9e9OrV65R3kcy5u3LlSmzduhWXX345vF5vC1NsIxOWZfE5wTTc5u7U/H4/35EBR+Zac89RYDsN5uRvD1o/A/MrZdanagm0ny88R+ByueByueBwOCDL8hlpV2/PUFUVLpcLu3btwkcffYRhw4Z9ZVMFG6OCggLbF9XKkCQpawHQdb3ZPhom7J1OJ8/kbs7cYuNrWRY0TYPf7+dRXu0FTqcTVVVVAFpul2kL/9MMQRAQi8UgSRI3J5xpETXtGaIo8vo9LH/hVMGcxitXrkSXLl3wox/9qNlhojZODZk+GyaUmxtKy3ZlbNfASnGfCJmJfOy+YDD4lb6jpcC+RVEULFy4kOeXtARaXfgbhsFXcuaISafTsCyL22fb6oi7VCoFXddhGAbef/99VFVVwTAMHuLIUvobI5PmWCyGdevW8e9j38u+rylIkoRt27ZhyJAh+PTTT/nz2DszI3FaCyx+mCV7NT55qnFbNjkYralUio9re7J3s8SrRx99FJIk4cEHHzzlnRVLgFu7di3nheaGibZ3sOQ1VVX5QmlZVhb/seAEURR50l9rz1Um8Fll34ULF+Lpp5+GYRjQdZ3zXVN0MEexZVn429/+hqFDh2LDhg38HmbbbwpMEduzZw/69++P0aNH8+9lPN8WfM7Gwev1oqamBm63u0llMXO82FxlOyH2zY37rdUdvixxKxKJwO/3Q5IkiKLIO5IR0xY2tkQigVQqhX/+85+4++678etf/xo/+9nPOOPpuo5AIHCU48c0TcTjcYiiiF/96ld49dVXsXPnzixtIR6PH9PW7HK5sGzZMnz88cdYsmQJfv3rX3PhqygKgsEgrx/fmmBCPTNksTGDs4njdDphGAYMw4AkSUgkEnC5XJAkCYqi8KJpbQ2Hw8HpkySJ77BOFUzojB07NisL/UwGU1IAcGWH/c0c5MlkEl6vF36/P+vIy9OhlDCl4u6770ZlZSX27t2L73//+7jwwgsBHDHt+Xy+o2SGYRgwTROiKOK1117Djh07MHXqVPTu3Rs5OTmIRqPIzc1tcgE3DAMOhwOrVq3C7t27UV9fj5deegkjR46Ew+FAbW0tCgsLTzuPs8VQVVUAR+RpU/R/8MEH+MMf/sCjnQRBQE5ODkaPHo2ePXuiQ4cOfOxYv7W6xJVlGYqi8NTwRCLBa/azQW6rCSVJEjZt2oRFixZBlmVMnjwZq1evhiAISCaT8Pv9Td7H6F20aBEWL16MaDSKBx54gGtSx9M00+k0du7cibfeegvBYBB//vOfsXz5cq5ZsGiF1l4MmYPL6/XC6XRmRcNkggl9Rp8oilBVFX6/H6Io8kWwvfgtLMtCRUUFNE3DkCFDjnloS3NARJg8eTIkSULfvn3h9XoRj8dbmOK2gWmaPIehpqYGzz33HEpKSnDRRRehqKgIl1xyCTZv3gxBELIiYVobzGG7efNmrFq1CtXV1QCA6dOno6GhgWu9TfEqi1YbP348VqxYAb/fjw8++ADTpk2DrusIhUJciDaGKIp466238OSTTyIUCiGRSOCRRx6BqqpQFAU+n6/NLBTNgcvlwieffIKVK1fi448/RnFxMT755BOMHj0a/fv3x6pVq2AYRhb/OjKLNbXG5fF4uDBbsmQJRo0aBQA8DEsQhCyTAoBWpSfzisViKCsrw9q1a7kwnD9/Purq6rKSWZq6d9++fZg2bRo8Hg9cLhcqKirwyiuv8JWX7QIa3wcA5eXl2Lt3L4+jXrBgAResmVvM1rwAcGeaZVlIJpO8tEPmpes6F/SSJKG8vBzf/va3MXToUAwcOBAjRozAE088kTWGbXm5XC5s3rwZ9fX1uPHGG487hie6WAiyx+NBfn4+APBF8ky+2IljoiiirKwMt956K15//XX8+Mc/xvr16/Gzn/0MXbt2hcvlgqZp3OTD+qQ1adN1HR9++CHuueceAEeEciAQwKpVq7B+/XoeCs7MOJkXM40sW7YMOTk5kGUZhmFg+fLlOHDgAAA0ObeAI8rQU089BbfbjWQyCVVVEYvF8Pzzz2eFnrfVmJ3o3RdffDG6deuGUaNG4ZVXXsGjjz6KZcuWYcaMGRAEAQsWLICu6wgGg/weB9tWtNYFgK/W06dPR2VlJd544w1ua2b2qMz2rU0TuyZOnIjKyko4HA6UlpbyLOMpU6ZkCYCmvun5559HdXU1cnNzMWzYMOzfvx/Tp0/nZhJWDKvxtXjxYsycORNER2xymqZh27Zt2Lp1Kw9rY1pZa15ExOO4nU4nOnfuzDMIMy+2zVVVFYZhIJFIYM+ePbjgggswbtw46LqOsrIyHD58+LSN2/EuwzBQXV2NXr164bLLLuM27FN51qFDh/DWW29h6NChuOyyy9DQ0MB3EmfyxYRJLBbD22+/DafTiTfffBMTJkxA9+7dMW3aNMyfPx8XXXQRj5gRhCOmBxaF01qXoihYtmwZZFlGOBzG+PHjMXz4cCQSCfz+979HOBwGEWXRxa50Os3Ld/t8PkyfPh3BYBAHDhzArFmzeMJe4/tM08TixYuxd+9e+Hw+DB06FOPHj0c6ncbnn38OADwvp63G7ERycceOHfj3v/+N7t27o6ioCJIkwefz4Xvf+x6GDx+O9evXY8eOHVnPaVHbAnN0Zjo8XS4XFEXBj370I3z44YfQNA2bNm3K2o6Losjtypn2rJZePZmtk4jwwQcfcBPPjBkz8Nxzz+HOO+9EPB5HRUUF3n//faTTaaiqmuUsIjqSbr1w4UK43W4sXLgQZWVl6NChA3bt2oV77rkHDQ0NPOKEmbdM00RdXR3mzZuHRCKBW2+9FTU1NcjLy0MqlcIf/vAH1NfX80VB13XusMlcKJmTWtM0buNk21H2HsMwoCgK/95UKgXDMCDLMr+fOcfS6TR0XecM3rjccTqdhqZp/P/T6TTy8vKwYMECjBw5Et27d0dDQwMfy9ONTIe1ZVmora3F6tWrUVBQgKKiomb7IoiI8wYR8Wd99NFHMAwDsVgM55133lkRmcV4c8eOHSgvL8fs2bNBROjQoQMCgQBM00SvXr1wwQUXwOFw4Morr0Q4HMaSJUuwaNEi3t/MHMj4DgD/jQVSZM6BpsD63TRN1NbW4rHHHkNZWRlSqRQeeeQR/N///R/mzp2L888/H/v378dtt93Gx9w0Te64Nk0TH330EV588UVomoaZM2fiJz/5CYYMGQKfz4f58+ejqqoKgiDw9ixIQ5ZlrFy5EpFIBP369cMrr7yCW265BR07dsTChQsxd+5c7vg2DIPXO2J0ZwY+sP5oDiorK5FMJvl8ZP13+PBhvPzyy5g/fz7mzp2Lbdu28b5iCWxsB8dk0xdffIEDBw7wfmFtM/05jf2ILeq9YASxLDQmOPbv38/NIjNmzMjyOrMMvkQigd69e2P37t0QRRHbt29v0heQufUEmlcWgd3DCiP99a9/RUVFBerq6jBkyBDccMMNkCQJ9957L95++21UV1ejvLwcnTt3Rn5+PhoaGuD3+yEIAr744gs88cQTMAwDN998M4qKiuD1evHoo4/i8ccfx5tvvol9+/YhHA5zRhNFEW63G+vXr0dlZSVycnJw6623wul0Yvz48ZgyZQoaGhowadIkPPjggzBNE506dcoS+Dt37kQ4HIamaTwUjvU32waz/ojFYtiwYQNGjhyJWCyGqqoq1NTUYNCgQfjwww+xcOFCDBo0CKqqYvTo0XjooYfgcDiwYcMGuFwuzoyMsdiYOhwOVFdXw+1247///S8KCgqgKAoeeOABFBQUtCAnNQ9s18iKuPl8PoiiiIaGBl6QLRqNwu/3NztjnDlCHQ4H/vOf/8CyLFx22WXIy8sDEZ0VmedM0Zo/fz7y8/OzFvtMpYwpCqNHj8batWuhKApefvllXHzxxdw2z+ooMT5nit/GjRvx9ttvI5lM4pZbbsGSJUuatJkzLVQURaRSKXz00UfQdR35+flcGcvNzcUvfvELPPbYY1i7di22bt2KK6+8EocOHeK5FzU1NZg6dSoEQUC/fv1w+eWXQ1EUPPPMM6itrcXWrVsxZcoUzJo1C/F4HG63G5ZlweVy4aGHHsLmzZtx/vnn46GHHkI6nUbfvn0xcOBAvPTSS/jLX/6CkSNHokOHDjyAJRqNIhaLYenSpVizZg1XoJgpuznhqYcOHeJnTLAdvyRJ0HUdO3fu5MpzKBTCxRdfjJtvvhnbt29Hjx49IIoivF4viAiyLEPXdRQUFGD48OFZCWuCcGT3Hg6HEQwGs+VlOp2m44H9nk6nKbNtU/el02lKJpOk6zolk0mSZZm2b99OJSUldNVVV9HmzZvp0ksvpV/84hdkmiZZlkWappGqqnT48GFavHgxiaJIBQUFJIoiCYJw1AWA/8v+PtEFgFwuF7lcLgqHw+Tz+SgYDNLXv/512rVrF0WjUaqrq6NYLEbz5s0jj8dD+fn59Oyzz5KiKFRbW0t1dXUUiURo+vTpJIoidenShZYsWUKyLFMymaTDhw9TaWkpBYNBuv766+nAgQOkKArt2bOHDhw4QBs2bKBu3boRAHrttdfIMAxKpVJkGAbddtttNHnyZLriiivod7/7Ha1Zs4YOHTpEtbW1lEgkaPLkyeTxeMjn85HH4yG/30+SJJHD4SBRFMntdpMkSeTxeEgURcrNzSWXy0Ver5dCoRA5HA7q0KEDCYJA+fn5JEkS7wun00kej4c6depEoiiSy+Wi5cuXk2VZFIvFKJlMUjKZJFVV6dChQ9ShQwdyuVw0fPhwKi0tpZ49e1IsFiPTNJvkhxPxTHN47VhtdV2neDxOqVSKNE2jVCpFU6dOJY/HQzt27KD6+npSFIXTdjx6GO8yvlQUhYYNG0Zut5u++OILSqVSZFkWqaraIrSfiJ7j3XcybZuiR5ZlkmWZRo0aRQ888AAdPHiQTNM8qm0ikaBUKkXbt2+na665hkKhEHXo0IGCwSD5fL4snvN6veRwOMjn85HP5yOXy0XBYJBycnIoHA6TKIr8yuRbxruiKJLT6aRQKEQXXHABVVZWUiKRIE3TqKGhgd577z3q06cPiaJIpaWllEwmKRqNUiQS4fPW5XKRJEm0YsUKamhooPr6epJlmRYvXky5ubkkiiL99a9/5XwdiURo69at1KNHD5IkiZYvX06JRII/8x//+Ad5vV7yer10/fXXU11dHSUSCS4Tvv/975Pf7yePx0Nut5t8Ph+JosjnJvvOY105OTl8zomiyJ/lcDgoHA6Tw+EgQRDouuuuozvuuIMWLlxI06ZNo6qqKkokElzWGoZBc+bMoW7dulEymSRN00jTNKqvr6f33nuP+vXrR7fffjslk8ms8W1RzZ+t/uyg7GQyiaVLl+Lw4cPo27cvnn32WXz88ccoLCxEfX19Viikz+dDXl4eiouLUVVVlbVlaSlQhuOkZ8+e+M53voMuXbrwOGZFUVBaWorKykqUl5ejvLwcw4YNQ9euXWFZFlRVxZQpUxAKhXD//ffjpptu4maaUCiECRMmcI3nT3/6E6ZOnYqioiIYhoGysjJEIhEMHDgQ/fv3h2VZkGUZlmXhqaeewu23346dO3fi0ksvxcMPPwxN0+B2uzF79mwe51xQUIBevXpB0zTs3r0bADB8+HBEIhFs3boV1157LQRBwK5du6AoCq644gpeP0iSJK4pE/2vhHNOTg5qamqg6zp3zrOtv8fj4QeZCIKAvLw8JBIJBINBXlvcMAzMmjULEyZMaNGxag6cTic3jamqCrfbjYqKCoiiCL/fD6/X2+wjG9nzTNOEpmk8Xtzj8XAnGQtzPdPh9Xp5eZFPPvmEa+yN+8ntdqO+vh5f+9rXMGvWLPTv3x/RaBTA/+aSKIro06cPiouLEYlEEA6H+bkJa9asQd++fVFcXMxNLexeQRC4BYDtYj0eD0zTxK9+9St07doVpmkikUhwM9ScOXMwePBgvPPOO5g0aRIef/xxHr1z7733wuVyoW/fvrj66qu51ixJEq699loUFRWhqqoKv/3tb9G7d2/07NkTfr8f8+fPR3V1Nfr164errroKqqoiGAwinU7jmmuuwZNPPolJkyZhy5Yt2LlzJy655BIAwB//+EesXr0aHo8H3/zmNxEOh/num30fcGLLhNPp5GdMs7BrJvtYgqJpmjjvvPMwbNgwvrtlMtayLCiKgunTp/OaYfSliToUCkHTNPz73//Gfffdh2g0yjOfgRY2+zgcDmiaxge2vLwcixYtwsSJE3HXXXehtrYWsVgMlZWVOHjwIDweD982CoKAb3zjG9wzz7amjUFfwewDAIqiQJIkdO7cGSUlJdxRBICHWd53331YunQp3n33XUyZMgUzZ86EaZr4/e9/D1VVUVJSghEjRvCtHfNrdO/eHXcLtlqCAAAR8UlEQVTeeSfmzJmDBQsW4OGHH4bf78eMGTOwdOlSuN1u/PznP+dZvYcPH0ZRURGCwSDGjBmDrVu3Yvny5bj00ktxxx13oLq6mmf1nXfeeZg1axa+/vWvwzRN7N69Gw6HA/3794eqqti2bRsGDx6MdDqNzz77DJZloaioCLm5udzeJ0kSkskkt/kys5ogHAltzcvL4+PHhD6L9HA4HNzUM3HiRB61deedd0KWZT4epxMsaoWI4PP5UFdXh0QigTFjxiAUCnFbNBMwxwN9aed3uVzw+XxYu3Ytdu3ahZEjRx7l7DvTIQgCVwbeeecdbNq0CaWlpUe1IyLk5ORAEAQUFRVh2bJlnG8yTW4dO3ZESUkJDh06hI4dO/JEpC1btqC4uBihUIhHjLHnsnknCAKvx+TxePiCwCLR3G43PB4PDh06hJKSEtxyyy1Ys2YNFi9ejLvuuguhUAjPPvssfD4fLrzwQsybN4/TxpQTQRCwdOlS3Hjjjfjss8/w3HPPYcaMGZg7dy7Kysrg9XoxZswYntNTV1eHUCgEALjhhhuwcuVKvPfee3jmmWcwe/ZsqKqKxYsXw+Fw4Lvf/S6efPJJ5Ofn82JylBGhczx+YYsFi6hjfgiv18vj+Vn4eGO6JEniCXo+nw+1tbV8UVAUhS8KK1asQDAYxE033XS0PG3JLaplWSTLMum6TgcPHqQBAwbQiBEj+PYtkUjQ2LFjyev10rZt20iWZVIUhVRVJV3X+ZbbMAz+vsaXZVn8X/b3iS7WNpVKUSqV4mYp0zS5ycA0TTJNk9O5evVqCgQClJeXR5MmTaLbbruNm1GefvppSqVSRETc3KCqKhmGQbFYjC644AISRZEGDBhAFRUV9I1vfIMEQaCrrrqKkskkpVIpSiaTfGutaRrJskw9e/Ykt9tNV155JW3cuJEGDx5MXq+XOnfuTBUVFZx+Zi5ipgjDMPj3maZJkUiELMsiXdc5jex70+k0maZJqqpSIpHIMnOwv9PpNO8TWZbJsixKJpN03333kcvlok2bNnFT0Le+9S2aOnUqWZbVJO+0ptmHiCgajVIikaBEIkFz5syhgoICmjhxIum6TrIsk6ZpzeLhdDpNqqpSLBajVCpFzz77LOXk5NCMGTP4+LCxayna28rsQ3Sk3+bNm0c5OTl04YUX0j//+U/Ow6ZpUjKZJEVRKJ1Oc75mc9Q0Tc5zbM4wnmI8xsy5bGwYLzamnZkt2P8risLnaOZ8tSyL6urqqLy8nAoKCsjv99PgwYPpnnvu4abL3/zmN3we6LpOsViMIpEIp+XBBx8kr9dLTqeTxo0bR1deeSUFAgEaP358lsmPfYuqqiTLMr377rskCAL5fD76wQ9+QFdffTU5HA4qLCykLVu2kGEYpCgKERGfl83hg8w+0TSNyz02r9lzMuemruvcrBOLxUhRFNq/fz8VFRVROBymjRs30ieffEKTJ0+moUOH0oABA+jdd98lXdeprq4u6/0tKvwVReGdvmjRIgoGgzRy5EiKx+OcmcaMGUMej4dKS0vJMAxuo2rqHSdDz4nuae7EYYwajUbpO9/5Dnm9XsrJySG3202BQIC6d+9O//3vf496FhOgiqJQeXk59ezZk3w+H3Xs2JEkSaK+ffvS5s2bsxYshlQqRdXV1bRu3Trq1q0bBYNBKioqIqfTScFgkP7+97+TLMst3j/NaZtKpaihoYFisRjdfffd5PP56JlnnqFkMklPPvkk5efn0/z584/pA2ptm7+iKBSLxUjTNFq0aBG5XC763e9+R4Zh8EnJFqbj0cMWuIaGBpJlmX76059S586d6fXXXydFUfgCejYIf6Y8JBIJevHFFykvL486d+5MK1asoDlz5lDfvn3pqaee4gKtJek5FdoZD2qaRtFolGbPnk1ut5s6depEHo+HwuEw3XbbbVyOZD5D13XOJ//617+oV69e1KFDB+ratSv3YaxevfooGpigZf7AsWPHksfjIZfLRZ06daKCggJ68cUXj1J6TkU+nWz/pFIpSiQSpKoqaZpGq1evptLSUiotLaVRo0ZRz549yePx0NixY+mNN94gTdP4osYWWqIWFv5s5a+rq6NVq1bRyy+/TGPHjuUaWF1dHa1bt4569OhBf/nLX7jWzZxo7UX4s05dsWIF5efnkyAI5PV6qVu3bvT222+TLMtHPcuyLIpGo6SqKiWTSRozZgz5fD7OpBMmTDhqR8NgGAY1NDRQJBKhSZMmUSgUIq/XS8FgkK677jrat28f1dfX84WjpfqnucI/FouRqqp07733UjAYpK5du9Jdd91FXbp0oSeeeIKi0WibCH+mPCQSCWpoaKDRo0dTbm4uVVZWcg2MMf6J6Emn03wRaWhoILfbTVdccQXJssyFJRMkLUH7ieg53n0n07YpepgwrKmpIVVVadasWXT++edTjx49qE+fPnTnnXdSbW1tk078r0rPqdCuaRpXrBKJBH366afUv39/kiSJQqEQFRYW0ubNm7MEW6bw1zSNdF2nRCJBb7zxBvl8PurSpQvl5OTQ8OHDae/evUfRYJomDyiQZZnWrVtHvXr1Ip/PR4FAgAYOHEh79uw5Shk4HcKfKZqMN1nfHDx4kFRVpddff53mz5/PlRZmEWBWAoYWFf7xeJwLz3g8zrWpeDxOmqZRPB4nXdfp8OHD3BPPtnlNveNk6DnRPScj/FmHHTx4kKZNm0Y+n4969epF69evp/3791Ntbe1Rz2JbzYaGBqqpqaHq6mq65pprKC8vj2688UaSZZlisViTwj+VSlFdXR3JskyRSIRKS0vJ4/FQTk4OlZWV8e3diWg/2f5pTltm8jAMg/bs2UNTpkyhSZMmUU1NDUWjUdJ1nWpra5vUiFtb+BMRxWIxLpjz8/OpY8eOXONnE7850T6maVJtbS3XLj0eDz3yyCMUjUb5NltV1WPSdSYJf8Mw6PPPP+c7nWg0SvX19TyyKzOKpKXpORXaTdPkUTjJZJI+/fRTeuGFF7i5Z/r06RSNRpsU/oZhUDweJ8MweATe9ddfT5Ik0YgRIygSiVA0Gj2KBsuyqKGhgQzDoGg0SvF4nGbOnElut5uCwSC98MILTS6Qp0P4M7MUM19Ho1Hat28fRSIROnjwIFdCa2trs8xnbAFgaFGHL/NOM2cFSw5imavJZBKGYSAQCCAej/MY//bkRGMZf6qqQpIk3HrrrZgzZw6GDBmCK664AqqqNhnr7XA4eLEzTdP4cZT/+c9/cP/990MURUSj0SZPKaOMjMV4PI7Ro0djy5YtyM3NxQ9+8AMeO01t4FQlOlJvSFEUFBYWYvz48TzFnjmOA4FAmxTmM00Tfr8fqVQKW7duRTqdRr9+/bKch5IkNYs25hCPRqPYt28fP87S7/fzfk9/mfvQHgrYfVWcd955qK6uRseOHbOSMomIR560l5wGdpB8MBhEMplEYWEhRo0aBVmW8a9//YsfO9qUU18QjhwRq6oqd16XlZXh4YcfxuDBg3nNsabAkqg8Hg8Mw8Att9yC3bt3o0uXLhgzZkxrf/ZxwXiQlTCXJCkrSZZlOQP/q+OVbhT4IKTTaTqe8KVjRNc0JbRZUgGQfQ4nEWVFjWQ+O/2lxz/zeLJToed4aA7tDKw0A0ukSqfT2L59Oy666CL4/X4+QVgns2cxzz0LB0ylUvj0009x6NAhDBo0iCd/ZFY0ZTSwd7rdbp4h+eqrr6J3794oKSnhFTczU9Nbon+a0zadkTGYSV/6y0MzWKRWU4W/TqbfT4V2VoZYEAQ89thjmDlzJp5//nncfvvtPMKJ6H/1pY5HD30ZHpdKpTBu3DgsW7YMGzduRL9+/Xg0WGZG+lelvblzqqn7TqZtU/SweQccCc92uVx8brJkuXQ6fcKw1lOh51RpZ2GiiqLA6/VCFEUekguAF25r/A7GH4qi8EKNmUlpbD41XtDZPGftGL+zRCxWV9/pdB7Vtycrn06lf1gbNo4sPDSdzi5B0fi5rOQ50MKhnplno2a+hBHQlAbWno5LA47Q4/F4suJ0L7/88qzfj3Uf8L8DJZxOJ/r06YM+ffrwNsfS3B0OB7+PPefmm2/m93i93qy+PJ1g8cQMTNCzsW7L8Ee32813U6z/gsEgYrEYn/ShUOikeCwSiaCurg4lJSUoLCzkcdftbYf6VZCpJTNlhClf7ED69la6mvEbC3UEkGU5ONahPew7AoFA1rMylZWm5lTmkYmZAp3t0L/KIUEtAV6WOUPOsnylTGTS3niuti/Ja8PGSYCZnwzDQDAYhCiKmDVrFq/jHwwGeR2W5kDXdXz22WfYtGkTBg8efMpn/9qwcSbAFv42zlgEAgEoigKn04lx48bh/PPPx7Zt2/Dqq6/C7/cjEolwk8aJwLSizNLUxzrPwYaNswG28LdxxoLZX1km59NPP41wOIzf/OY3WL58OcLhMC9BfCKkvywR8f777yMYDGLixIntziRpw0ZLQrAsq8Ucvpn3nErb9uDwbW0nZWv2ZUvRczy0J9qZU46VGxBFERs3bsS4ceNgGAYuv/xyTJkyBSUlJbx+DfM9Zfp02PPq6uowbNgwfPbZZ6ipqeHVWFuD9rZ0+H6Vtl+VntNFe3uj50Roi75s0WifzHtOpe25ILBs4d+6tOu6jjVr1uD++++Hw+HA4cOH8dOf/hThcBg/+clPUFhYiFQqxcPg2H2apmHEiBF499138e1vfxsLFiyAaZrcwdjWfND497bmg1Ol53TR3t7oORFs4X+OCqz2Rs/x0N5pT6VSiMfjUBQFqqri4YcfxubNm5FIJFBcXMxruWualkUPM/uMGTMGv/zlLxEOh3lFz9NFuy2wWo729kbPidAWfXnmZ6vYsJGB9JelfH0+H0zTxIIFC/Dmm29CEAS88847eO211xCJRPhkYPB6vZg3bx4GDhwIl8vFT2myYeNsha35f4W2J0uPrfm3Pu3xeByCIPBMa1amW9d16LoOl8sFt9udlafAkEwmIYoiLyfscDj4we1tzQeNf29rPjhVek4X7e2NnhPB1vxt2PiK8Pl8SCaTPJWdhW76fD5e7kGWZeTl5UEQspNevF4vT2pr7qS1YeNMhS38bZxVYEKfCW9BOHJwCTu/ub6+/pjCne0GWIhnY9OQDRtnE+xAZhtnFTRNwwsvvIDy8nK+3dV1HZIkYcKECfja176Gl156yRbsNs552Jq/jbMKe/fu5eclh8NhDBgwgNs98/LyuC/ANuvYONdha/42zir06tULN9xwA6LRKGbNmgXgfwXAevfujVAohH79+tmav41zHrbwt3FWwTAMVFVVIZ1OY8OGDdixYwcURYFpmjAMAz6fL6vSqg0b5yps4W/jrEJ9fT3eeecdPP/88xg0aBB++MMf4vPPP4dlWdA0DZ06dToqyseGjXMRtvC3cdaBHaAzfPhw1NfXY8mSJbxGz+TJk094SIkNG+cCbOFv46zCzp074XA4UFtbi5tuugklJSUoLy/HunXrMHfu3GMew2nDxrkGW/jbOGNBdKTuPqvuSUSYPXs2iAiFhYVwOp2YPXs2AOCBBx5AQUEBiouLoapqG1Nuw0bbww71tHHGgh08zg5VJyJYloWrrroKfr8fgUAAgUCAl3iuqqrC66+/jksuuQRXX311W5Nvw0abwhb+Ns5YsIO12RnDq1atwrZt2+D1elFfX4+cnBykUikMGDAAt99+O4YMGYK77rqr2cc62rBxNsMW/jbOWDBTDxHBNE0UFxfjt7/9LSzLQk5ODoAjC0SPHj2wZMkS1NTUwOFwIB6Pw+v12hE/Ns5p2MLfxhkLZuZhdv+LLroI3bt3h6ZpCAQC0HUdhmHA5XKhuLgYnTt3RiQSQTAYtAW/jXMetvC3ccaCiCBJEgRB4AXd3G43L+QWCAQgiiK/HA4Hv2zYONdhC38bZyyYkxcAP5aRwe/3N9keyK75bsPGuQrniSYA+71xu+Pdd6ptmzMZj0VPc+45WXqa856Toae1+7Kl6GnOPc2h50ymvfHvbc0HbUFPc+87GXpOpq3dly3Xtql2zuakumf+fqy/T+a+09m2vdFj96VN+/Hatjd6ToT2QI/dl6fW1jZ+2rBhw8Y5CIFsw6cNGzZsnHOwNX8bNmzYOAdhC38bNmzYOAfx/wXgG9ZmhJOGAAAAAElFTkSuQmCC)
The magnet in fig. rotates as shown on a pivot through its centre. At the instant Fig. shown, what is the directions of the induced currents ? (in wood)
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1duxZnz57FoUOHcPjwYRQVFaGwsBBDhgxBnTp1kJ2djcGDByMrKwuCICAQCJzXZ65U+5SXlzMFSgqE53mUlJTAaDRi+vTp+PnnnwEA/fv3R25uLvbu3YuUlBR06dIl5DvILUF9zWAwIBAIYM2aNThy5Aiys7MhyzLKy8sxadIkGAwGnDhxAqIoYuDAgRHJ7vF48Mknn2DdunXgeR7XXHMNHn74YXz//ffYsWMHTCYTRo0aBaCiDysNNFoJmEwmpkD9fj9mzZqFr7/+GvHx8Zg8eTJcLheOHz+O7OxsTJgwAX6/n42n6uB0OvHAAw/gu+++g9frRXZ2NtLS0vDLL78gNzcX3bp1g9VqZRNTSUkJvvzyS8iyjJSUFJSVleHdd9/FyZMnUbduXbz22mv45Zdf2LFx40Zs2rQJ69evx+bNm7F3715kZGTAaDQyw4zneWYYVtWWMWP5GwwGHDlyBN999x1sNhtThGvXrsW6deuwceNG3HbbbRENcnIdTZ48Gfv27UNycjI++ugjfPXVV1i4cCEKCgrOW6pWJ1tOTg5WrFiBEydOwO/3o0+fPsjLy8OGDRtYhyVXUk3wer34/vvvcerUKeY/fuyxx7Bt2zZ88sknGDx4MCwWS8Sc4ry8PHzxxRcIBoMYP348RowYgTvuuAOzZ89Gs2bN0KpVK+Tm5mL37t0YOHAgCgoKsGvXLtx88804d+4c9uzZwyw0miAqg5SU1+tFRkYGWrRoUaNsVwMEQYBOp2MK0WQyoby8nL1nWZbRqVMn3HTTTZAkCTNnzoTJZGK+WYoN1a9fHx9++CGsVivuuOMOcFxFbX+6RyxY/4Ig4Oeff2YKQ+m7P3LkCFauXMksy0aNGjHFNWvWLNSvXz/EXQOAFcSjEtdpaWlYtGgRkpOTsWLFCqSlpSEhIQEtWrRAfn4+PB4PVqxYgW+//Za1SXWWvyiKSEhIwKlTp5hvPz09HQcOHADP8/jyyy/xzTffMGWo1+vx2GOPsbjNmDFj4Ha7MWfOHDidTgDAuXPnIAgCysrKIAgCzp49C6fTid27d6NVq1bsmWuy/K1WK44dO8bGVefOnaHX6+H1epGbm4sRI0bAbDazmCbP8ygqKoLJZGJFAc+cOYO4uDhMnz4dBQUF532PMv4pyzK+/PJLjBo1Cvfeey+MRmNEbp/LXs/f7XazFPjy8nJ8/PHH2L59e8i5dOTm5iI7OxuCIKB79+7o06cPXnnlFfh8PrRq1Yp1Opqp6TvCKUpBELBhwwZ4vV5YrVa0b98ex44dw6FDh9ClSxckJSUxjjad7/f7odfr4fP52EqB4zjs3buXvUxBENCzZ0/8/vvvKCoqgsfjQevWrVG/fv3zuN5VteUPP/yAYDAIURQxd+5cvPjii8jNzYUoimjTpg3q1avHOllN7X769GkcOHAAsiyjSZMmSEtLw7p162C1WtGqVSukpaXhzJkzyM7ORu/evWGz2XDgwAFkZWXBZrNh9+7dIQFicgU5HA7UrVsX+fn5EEURSUlJKCwsxPXXX4+33noLnTp1gt/vZ4wWqlVfVT+oqc8oP69u0F/IuZHIowy6E5588kl8+OGH+Oabb9CrVy/mliTrUTn4yI1Gf1c2Llq0aIGioiLk5eWx1RTHcSzeEk37RHNuuPZRxnrcbjdmz56NQ4cO4ddff0VxcTF7/xzHhbgD6Rr6H7mHfD4feJ6HwWBgNGxqB41GE+Lb1ul0bAVJG90DYIQFjUYDo9HIVkRE/qgMkqPy2LdYLMjPz4fFYkF5eTni4+MhSRLTPySrxWJh22+S4UPltwkGgwEFBQVMJnruSNqdJlBqJ/Ln22w26PV6Viac2lTptqH2zsrKwpAhQ2CxWNjYBICzZ89i1qxZcLvdSExMxLBhw7Bq1SoIgoBp06Zh4sSJLF6QkJBQZT+47Mq/vLwcwWAQ+/btw6hRo1BWVhbSwMpzlb9Tp6BlC32XJEmsoBZNBD6fL+T7DQYDBEFAgwYNYDKZsG/fPgiCAI/HA6vVyjooMQGsViv69u2Lxo0bY9++fdixYwdGjx4NURTDLvN4nsfatWtx6NAhSJKEunXrIjMzEz/99FONHUMZNA0EAsjMzMThw4eZn9jj8UCv1zO/Y03trtVqodFo0KVLF3To0AGff/45c0dRByTWRZs2bdCzZ0/Gdvjmm2+Ql5eHSZMmsbgADVqDwYAlS5bA4XCwzUqGDx+OlStXolGjRvjggw/QrFkzFhBv2LDheW602qT8KX7i8/lYf+vTpw/27t2L3Nxc1qeUfbM6ebxeLxwOB6vk2bZtW3g8Huzfvx9WqxVlZWWIi4tjk0Y07RPNueHah5g3LpcLZ86cwahRoyBJEoYOHQqr1cqMHqXyJ/A8z55p8eLFKCwsRPv27dGtWzeYzWY4HA5IkhS2jXieR48ePdC7d29mXBEr6IUXXsB///tf+Hw+rFmzBi1btoTFYmHPUlVFVOVz0r0eeeQRthrevXs36tevj2AwiA8++ACnT5+GyWRC//790aFDByZn5b4bCARQWlqKCRMm4JdffoEoijh+/Dji4+MvqN3Ly8vxyiuvYM6cOWjQoAF27NjBCv4pr6PAsnKCpoAwTXgulwuzZs3Cu+++i5UrV6JXr17YtGkTJk2ahLNnz+LZZ5/FuHHjYLVaYTAYquwHl93to9FoIEkSPv30U0iShB49emDBggUhjUVCVf79rbfeQnJyMv73v/9hxIgRWLlyJWbNmgWv18sClQDCdjSiqRmNRkiShNLSUvz888+YP38+DAYDRo4ciQceeACCIIDneaSlpUGn06G4uJjNmGTNhou2/+1vf8OIESNw/Phx2O12vPvuu/B4PDV2DAAhAVfyjb7//vt45513YDabsX79ejbx1KSwSLmnpKQgKSkJAwYMwAMPPIDc3FwkJibi888/h06ng9/vR0JCAtLS0lh7PfDAAwgEAkhLS2NtRQFnh8OB1q1b4/HHH4fNZsOAAQOwYMEC9OnTBx9//DFGjx6Nzz//HK1btw6x4GozSMlQsBMAmjRpEjIpEo2zJlC/kiQJK1asQGlpKR5++GEWCNbr9VUG2S83aHzpdDrcfffdSE5Oxttvv41rr72WsV/IQKncn10uF1wuF+Lj49GjRw/ceeedMBqNePDBB5GSksJ2NAsXTyOao06ng8/nY0rObDZj2LBhWLp0KURRhN1uZyQDGgeRQBRFeDwe3HrrrVizZg0rp81xFcl699xzDwKBAAtiE8J5DmiSe//99zFo0CCcOHECBw8eRLdu3aJs7T/uN3r0aHz22WeM7ReOIajVakOUPnkAaBUkiiJOnjyJL774Av369cP1118Pj8eD9u3bY/ny5Rg5ciS++uor3HTTTUhOTq6+vS7oSaKAz+fDkSNH8N///he9evXCkiVLQnzjVSn/YDCIuXPnMirY1KlTkZGRAY1Gg+bNm7PlUbiBeO7cOTRt2hQul4tR1+rWrYtrrrkGXq8Xr732GnJyclC3bl0WeKGOmZycDIvFwnxy4dxKHMehfv36eOihh/D4449DFEXodDo0bNiwRuVPwSeiaJHr5LbbbmOW+LFjxzBkyJCIlb/dbmcTVIcOHfDee+9h8ODB8Hg8KCsrQ9u2bSEIAmNakM85PT2dsYCUNWmI1tigQQOYzWacPn0a06dPh1arxZgxY9CjRw906NAB8+bNw/vvv3/VUD+Jly9JEo4ePYozZ87gkUceYTEYWpVFArvdDrPZjOLiYkaXbNWqFVN4yrIQfzbsdjuzLAsKCvDCCy+gQYMGTGFTJj25JpQQRZG5QCiQu379ehw6dIgxW86dO8cMCiXIHUK+8GAwGNKeHo+HMYJoPPr9/ojzIYLBIEwmE2644Qa0b98eGzZswGeffYb77rsPZrMZPp+PjROHw8Go1VXF1zQaDcxmM0wmEyRJwvvvv3/Byl8URTRu3JgZFh988AFmzpx53iRJsUNigwFg/YX+V1BQAJvNhtTU1BAd0bhxY4wePRpz5szBkSNH0LJly2pluuzmWm5uLh566CFcd911eOedd5hVEUmiBHXALl26wOv14uTJkygqKmKJRxRQq3xtfHw8Syihvy0WCywWCwvc/PrrryyQwnEcW6FoNBrExcVBkiTmF+R5PuzRsWNHpKenM+UZyXMR00AQBPZ8BoMBnTp1gkajgSiK+Pnnn9kEWNNBstvtdnAcB51Oh86dO8NisaCsrAxbtmxBUlISKzvs8/kgSVIII4MqUzqdTjgcDkZtXb58OY4ePYrly5cjPT2dsUEyMjLw8MMPY+XKlVi/fv1Vk/hFFqvBYMCcOXPAcRyaN28Oh8PBJsRIEwOtViuLH/zyyy+YMmUK+vfvz/jzpASvhPI3mUzIzc3F8OHDUb9+ffTp0wdxcXFsYxqiBJOLS3kUFhay4H+TJk3QtWtXCIKAxYsXIzk5GbIsIzU19bzrlP5toEKx+nw+OBwOuFwuNGrUCFlZWZAkCatWrWJsNLLaKR5T3SHLMpxOJ1tdeTwebN68GUajEfn5+QD+MCwTExORkJDAJvXK93I6nbDZbGxlTbohEjnCHaTPRo4cCY7jsGrVKuTn5593nk6ngyRJbBzSREk/t2zZgueeew5dunTBjBkz2CqGnp/cQyUlJTX2rcuu/Pfu3Yvs7GwMGjQISUlJITz26g69Xs8GIx0Ulae/6YVUvpb84Gazmfm88vLyMGXKFPh8Ptx///0YPHgwNBoNy8okK4CWuuTK0Gg0YRU/rSaoE7/44ovMPaCkylWWzWg0smczmUwhLBtaZYS7LtxB1oDJZEJycjJTKrIsIyEhgclPQS2DwcA4zQaDASaTid2DnttisTCXxNdff43WrVujU6dObGBrtVpmHUuShLNnz7LnqM2g1Z/P58Pp06fx/fffIzk5GQMHDoTZbGZKO9q9eE+cOIF169Zh6NChIf3rSuZLcByH/Px87NmzB3379kVGRgbr13FxcUhKSmLvtPKRlpbG+l95eTl27doFn8+HrKwsZk1TH1YeNKlSX+N5niUhUv+lsXr8+HHWVmQFK/VAdQfRHcktTKtjGg8+ny+EX6/VahEXF3fefcxmM+Lj41lcDgDy8/NRXl7O7kl8/EgOMuwaNGgAWZbRsWNHxMfHh7QX/STdZTabGeWbdMPBgwfx66+/YvDgwahTpw6AP9yGgUAAVquVvbsrrvyJN9urVy/mcojkIAtLFEWkp6czzvqPP/4IACFWSbjrqYPS52lpaXj11VfRrVs3rF+/HmvWrMHnn38OAGzQ032JhUH3CSebXq9HUlISK8l78uTJkCCNw+Fgy3rloVTspHgpDXzo0KHgOA6bNm1CXl5eRO2kHGBK+aZNm4ZAIICVK1eyCVdpzdGzkQw08IEKq2znzp0oKSnBhAkTkJyczNxVXq8XkiQhKysLycnJePnllyNKJY910IQvCAJmz56NhIQE3H777awvKNss0vtJkoR33nkHTqczhL5LE+WVmjCVK45bbrmF0Q2Vz1fV2KK2MBgMaNSoEW6//XbIsszcf0QyqK6/0pgSBIERE8jVajQacfLkSQBgln9191MeFKeQZRmDBw9mq1vlOK6KxBFujMuyjPj4eEyaNAl6vR7r1q3Dvn37WGyP3FORyGaz2fDoo48iPj4eEydORHl5OY4fP84MT3pGZV+j9lLKpzQsyRihUiF6vR6TJk0KoRtXh8ve+9auXQuDwYAbbriBJXxEAuXLrF+/Plq0aAGtVotvv/32PKpZJAgEAkhISEBqaipatGgBl8uF9evXQ6/Xs9k5UgVGSpOUoN/vx8mTJ5GXl8eWaJRmHQlkWYbJZMKNN94IANi9ezeKiooiujYc3G43U/b79+9Hbm5uRNcpk0LWrFkDp9PJgsWkzICK57/xxhvBcRwSEhJYh63NIJeB3++H0WiE3W5H//79L+p+ZWVlyMnJQa9evc4LMl5JaLVabNy4EVqtFj179ozYlUWgmJHf70fHjh2h1WoZVRNAxKVJyF0hCBVZ9N26db/unlMAACAASURBVGOGCiV+UkZ8NOB5Hv379wfP89i1axdWrVoFo9EYlZuNFLDT6URqairq1avH3EGUrRyOaloVEhISMGvWLDRp0gTr16/HTz/9xOr3EPuRJpya0LhxY4wcORKlpaWMmUd0bY/HA51Oh/nz59d4L578RJfzoIeipJFIriElSjNY8+bN2YxHSp/uGen9yMc9ZswYGI1GnDhxAuvXr2f+flp61XRwHMfq5YwaNQo8z2Pnzp3Yu3cvY/JotdoQP1x1h9/vh8fjYS4XvV5/Ue1tMpnQvn17tGvXDk6nk/n4I3kuak+qS0PyEAeblLzJZGKxBmXCUm09yLKi+k233347rrnmmou6H2Vf9uzZEwkJCSF5AVf6+PLLL1nMjFa5kVynzD8RBAG33HIL9Ho9iouL8c0337BYRiT3ojFO2eOjR48GUOEq++WXX5hlS1TlSO5HY04URTRs2BClpaVM50TznAAY26hBgwbIyspCMBjEsmXLWN0wciFFKltiYiKaN2+Odu3aoaysDIsWLQLP8yElHSIZR3q9HomJiaxUBQCWo0DlZvLy8hipoEqZInXDXOihfBiO49hSrqaDzqfg7rhx41ig1O12M2u0KrdPVctVv9+P9u3bw+12Iz8/HyUlJdW6j8IdZNnTBED/JyVJgVWqy1HTQYlo7dq1w7Bhw+B2uy+4vWW5gu9cr1495vubPXt2RNfSYJTlClZSZmYmWrZsGRJgpgFUWlqKW2+9lVllSgVaGw+gwqI9cOAAVq9ejfj4eJhMpgu+H7k3aABSMa4r/Zwc94dLlSqSRuq6oOeiBC2lK8XlcuHYsWMhq8dI5KBxScy6QYMGwW634/jx46yab6T3IyVLSnDw4MEQRRGLFy9mzKJo2onGL9FRtVotdu7cydyfylIYkTwrx1UYV+Qqy87OZh4EonhSP6zpOUkHKe9N/Y0S9Goak5d9rU5RaipwFc2SkDobJWLxPI+cnBx8+OGH4DiOlW2NBOSPJIu1adOmkGUZbrebrQgqJ4tVBaXfPjMzExMmTIDBYMCzzz7LeMzRLFUppVvpf3/iiSeYFepyudhAiOQ5qWZJx44dmbXpcrlCmAfKRDuC0nrSaDRITExEZmYmRFGExWJh7jGO4xAfH4+ePXsyZsjVACIPEF/8YuB2u7Fjxw4YDAY8+OCDMVUMj6xzysyOxn1BdaeIWJGcnIzMzMwQNlSk/UEQBFa8jALN/fv3h9/vx7/+9S8AYP0xEhARg0gJxHPftWsXo45Shd6aQAYrBV9nzJjBSnaQOzRc7KAq0NjWarXo3bs3jEYj9u7di2XLlrE+F008ifqoLMusJDWVkKDvq8mdd9lHrdKqUlpZNYEa1uv1wmAwwOv1smqIp06dAoAqMwmrAi0f4+PjWXB10aJFbHewaHyyFPQVBAFNmzaFw+FAcXFxxM+nhEajQVlZGWM1aDQa5OXlsXrxNLAigSxXuJFMJhPuuOMOiKKIXbt2Yc+ePazzBoPBsBmTpNjpGY4cOYJ9+/aFtRpoicpxHLNoazt8Ph/eeecdeL1eTJgwIWKFGA6yLOOrr76CTqdDcnIyc6/EEsi9SBvPRAIyyJT9ZOrUqdBoNPjss89gt9tRVlYW8b2UKwqytgVBQHFxcciqKRIoXZMcx6Ffv36sgu/ixYvZXgKRQqmMiXlTXFyMLVu2sNV5NPESWa7wz/t8PtStWxcOh4MFj6OJObpcLhQWFjJKPLHzOI5jBoyyHERViFmTjRrVaDSyYlr3338/bDYb3nzzTZSVlZ1Xi6Om+1HQze12IykpCRzHYffu3YzXHs3gFASBLZfvuece6PV6lJSUsIqF0UxKFK13u9148sknWcncL774giXBRKqIaDC53W5YrVZcf/31KC4uxtmzZ9lSsComAMlN+8ueO3cOR44cqfK8NWvWMOvtaoDZbMbBgwdhNpvRvn37i1rRyHIF0yQ5ORnFxcUAELEFe7nBcRwLWpaWlrJaOxcKWgnn5OTA7XaHZN9Hi3HjxuH6669HQkICzpw5E9WkSXLQWGnbti2jYh88eJCtqiO9F4AQV5LFYoHNZsPevXsBgLGkIgGt7L1eL5KTkzFy5EjwPB+yaUykOHnyJFasWMGo2spqADRhUX5Ctc8Y8Tf+yaDgK8dxLLkoKSkJWq2W1U2n5V0kIH8bVWccNmwY6tSpA0mSsGTJElYOIhKQXECF4iaucmlpKX799deIaFZKEONBr9cjISGBxQ1IJmWgNZLnJAvIYrGgZ8+ekGUZ27dvZ3LTaqIylGwDskbCWQ90znfffcfuczFWcixAlmVGz23cuHFUS/pweOONN2Cz2XD//ffDbDazFVIswO/348EHH4Tf72f5LFXVzokEvXr1wg033ABRrCgnfrF9gZLN3n33XeYSiQSkM4A/+P1NmzZFIBDA6dOnUVJSEvFz0uRNKyODwYAxY8aA4zjs378/hAoeKag/UakVjuPwn//8h3k3IjUOqNidMu4JgOmdQCCAjh07Xnm3D81ISgZAJCAlpuQdZ2Vl4brrrkNJSUnIw0cCnufhcDjg9/tht9tZITKfz4fjx4+z4F40LAXakIHjONx+++0hPHrqfJGA/HNEbSUG0ccffxy25nt1kGWZWe6USOP3+/HZZ5+xd0H+z8rPRVnHXq+XBbXCMaCIokfunmjcBrGMX3/9FeXl5fj73/8eVSyjMktElmXYbDZWg4oYIZGWhrjc0Gg0SElJgSiK+PDDD0O2/ryQgzLiBUHAvHnzAFwc8+vWW2+F0+lEeXk5AEQ8LomdQ31Ro9HgH//4B/x+P9asWYP8/HyWl1PTAfyxNSutbFu0aAG/34/ly5ejvLw8KmaTKIooKytjfeHGG29EamoqDh06BFmWYbfbQ8gT1eke0jGUw0AKHwDTmSNHjmSF8arCZVf+r7/+OgoKCjB79mz4fL6Il5ccx7HsPvIDZmZmstTxf/7zn1H7KhMTExEXF4eEhATodDpkZWUxSiMpTWJluN1uFhil5C06yIIji1yr1aJ79+7gOA4zZ85ky9VIlQdV86QgWqdOnSCKIg4fPgyXy8WompGCOpMkSWjevDmzpJR7hZL1oDyAP5bODz74IK699lps2rQJbrcbLpeL7S9MKwhRFNGrV68qVwi1CRzH4dChQygsLGSxpEjfH+0nS9UyT548iX379qFFixbIyMgAgPPq3V9JUGVcj8eDs2fPshpTNAko97+mFShtjUqGg/IIBoPo0aMHK7UC4LxzIj20Wi26dOkCjuOwePFibNu2jRmPlQ9qb2p/ZcIjrdyIdUf7YtPPSA6LxcKse0EQcO211yIjI4NR1ktLS5khqDyIuk0BZvpOq9UKjqtgBbZt25at8h9//HFGOAlXwkWWK3JG3G43xo4diy5dumDq1Knw+XwoLi6G2+1m72bmzJlwOBwwmUxX3vJPSEhAXFwcCgsLUVJSclG+RXL90PIyGldNOEyYMIGVMfj9999ZgJkYRgDYsrhyx1L61txuN+rWrRtSO5soV5GA2DWUmNW7d2+kp6fD7/cjLy+PldiNBBxXkU1ItdP79+/PgkvLli1jy9hwzwX8sXNXMBhEmzZt8J///Ae5ubms/C6tBN5++2243W4MHz4cAGrsaLGOQCCAoqIitG/fHjfeeCNz1UQC5cAFKsr3rl27Ftdccw3atWsX1Qr1z4AgCLjuuuvQq1cvfPnllyFuDFoN0/sOBoOsnIeSjaY8AoEABg4cCI7j8Ntvv2HLli1hz4vkoBUr5fIoA8KVv5OYRRzHsVr9lRVn586d0bVrV/A8j5dffjlsv4/06NSpE6677jpoNBrMnz+fUbvDPQOtCGhcKXOWlDXI2rZtCwDYv38/2zy+suKXZZm5vrVaLcaPHw+j0YhXX32V1RviuAr69eLFi9G6dWv07t37ymf4du7cGT179sTHH3+MwsLCqLP1lPB4PHjwwQfBcRyys7OxZ8+ei/IvBgIBuN1u5OXlwWazsR18KEuOZvDKTBeyfiiAo9Fo0L17d3Tp0gXBYBBr1qyBzWaLOPClrNgnyzIaNGgAq9UKnU6Hf//731G5ywCw6orKQlF+vx+7d+9mjKJwnHOKPZCP84477oDX68WCBQvAcRzi4uIQCASQm5uLZcuWoVmzZqykbCwptwuBw+HA/PnzwfM8e2/RBHyJxlxaWsoYWzSAiYIXKwHfYLBic/P7778f+fn5WLduHYCKNrDb7TAajSGWM1nk1D8r95tz586xJLbS0lJGLrjQIz09Ha1bt4ZGo8HSpUvDfqeSaOD///tUK9lqdFitVra6LykpCXuvSA/qD4IgIC8vj+mByufRVqfK+j/h8psmTpyIrl27Yvv27fjxxx/Dthvwx4bt9KxkUPz4449si9pgMIhvv/0WxcXF0Ov1MJvNsNvt1faDy84983q9mDZtGtasWYP77rsPixYtgtVqvaB70S5Ayig5+RovBD169MCYMWPwzTff4Mcff0T79u3Zxu40UMPNnuS3I5oVuVQoX2DdunUYM2YMU6Y1gV4yWTG0dJQkCWVlZSE1vmsCDVBlEOnpp59mu1I9+OCDaNSoUdh7kcKiInrk1vriiy/QokULTJw4EQUFBdiyZQu2bt2K559/HomJiSwAX9tBS2WdTgen08mK/UUCUgKJiYlYuXIlOI5D9+7d2cQYTeDyckMQBJSUlKB///7IysrCCy+8gMOHD2PBggWsIiYZNkajMSQPJlx7pKSkoKCgADfffDPWrFnD2DAXAkqeSkhIgCRJWLlyJaZOnYrmzZuHnMdxFTvsHTx4kI1R5eRKSt7tdqO0tBQ+nw+lpaU4duzYBW9DKssyRo4ciR9++AHr1q3Djz/+iMGDB4c9d/Xq1XA6nczlRCsnJebOnYvi4mJmMOzZswcHDx5kz0cgY40mt9OnT0On02HXrl144oknMHnyZBw5cgQLFiyAIAj45z//CY/Hg/j4+Gqf50/Zyctut+O5557D119/jfT0dCxZsuS8c5Wulurue+jQIYwcORLBYBD9+/fHa6+9xmZkJT2rsuzKe1KQ5MCBA/jHP/6B3NxcGI1GvPLKK7jhhhuYj9Hr9eK9995jL6SyLOQeSUpKwt///ndMnz4d27ZtQ1JSEubMmYNu3bqFMBDCtQ/wR6cl61uj0WDEiBFsz4F///vfuPbaaxmzSflMlScnCsj+/e9/Zwk4X3/9NQ4fPgwAGDFiBKZNm4YpU6YwPjDdk1YfJpMJRUVFMBgM2LRpE0RRRHx8PJo3bw6e59ngzs7OZqwiyjas7jmr6zOV35fyuos9N5w8ypLYHMfh6NGj6NixI959910MHz6cUSDJUKlOdvLv0sQ9cuRI/Prrr/jtt99Qv359uN1uVqGWDIdox1Tlzy+mLSVJgtPphNFoxJEjR3DXXXdh37596N69O/7v//4P27Ztw9q1awFU5AI0bdoUkydPRiAQwNy5c5GXl3eeDIFAADt37mRtS5u6Ryu7LFckXv7222+MCNGwYUOkp6eH9FGtVosTJ07g9OnTzD2izDeh7+B5nhk1Wq0WGRkZqFOnTkghtZryVOhegiBgz549rEpus2bN2GSoHJOBQAC7d+8OiYlQeXklaBUeDAbZTnGUI6F8d+RO8vv9LOeJ4zg2sQAVRuo111yDt99+G61bt2aJmbSCC9cPLrvy9/l8bOn48ssv47333gspWqZ8SZU7SDhXB/liqQAXzZrBYBAWi4XVXlf6KXU6HbOElXt2chzHgnu0BR3xgsm3T6uMmiDLMluKKhMuaGVC1pMsyyzuUV1b0raOxMChgUAdn6x78vfpdDrGAFDmIND1FouFWSBGo5HlNnAcxza9IauXFBmtXMgPS3zizMxMPP/88+jbty97R+GokbGs/KlECCXr3XXXXVizZg22bNmCJk2asHdProXqZCffOBkNY8eOhcfjwbvvvouGDRsyVoaSj30llb+Siux2u7Fw4ULMnz8fNpsNVqs1pB4U5cfodDo2tiqPS8rAJ/dLWVkZ2weYVq20mq0JJDOt8D0eD/r374/4+HgsXboUZrMZaWlpuPXWW9n+vLt370br1q1D3HRK48jn8+Hll19mz0NjxeVywWq1soB2TZBlOWR8aDQa6PV69pw+nw8TJ05EvXr1IAgCtm/fjqZNm4aUCVHC7/fjyy+/xIkTJ2A0GlFWVsbGclZWFrp16wan04n58+cDAEaOHIkWLVow11zl5+zduzdbbVL/rU75X/Z1qCAIrMEefvhhxMfHY/PmzSENClRYGN999x10Oh3S09MZS0IJUsw6nQ5ff/01RFHEgAEDUFJSwqysTz75BKtWrYLZbMbQoUPh9/uxceNGHD16FKNGjUJKSgpkWQ7x57dt2xayLKNFixbQaDTIyclBq1at8MEHH7BJpSpQ4+/YsQMfffQRcnJykJ+fD51OhwYNGmDv3r3Q6/UYOnQoc1VFMug5roJPXFhYiIEDB6JHjx6YOXMmDAYDpk2bhqNHj8LhcOCpp57C0qVLsX//fnBcRenqSZMm4Y033sAtt9yCTp064ffff8e9996LoqIidOjQAW+88QY6d+4MrVaLF198Ef3790dubi4mTpyIY8eOwWq1Yvr06Rg8eDBbbZBf8aeffsK1116Ldu3aAfgj/Z5cVrUFJC8VwTp79iyaNm0Kg8HAAnmRPo9Wq0VBQQGMRiO+//57bN68GU8++SRSUlLYQKXYUCyAKJFAhavr3nvvZUXVfv/9d7jdbuYa+e677/Cvf/2LUY6/++47NGnSBEBoPafy8nLExcWhe/fu0Ol0GDVqFFwuF5YtW4bbb7+dlWtQXhcOFEANBAKYMGECsrOzkZKSwvz21113HRYvXoyMjAxW8sRutyMxMTFk+0j6DofDAZ6vKJ724osvYsyYMbj77rsxceJEeL1e3HPPPZg8eXK17aWcSDds2ICdO3fi22+/Rbdu3dCxY0e88MILACpWwjQJJiYmIj8/HykpKczwrOz2kSQJ999/P9LT06HT6RAXF8fcrePHj8eQIUNYHtFzzz2Hfv36YcSIEex5lLLR5EoTr3LXsqrwp/j8fT4fTCYTEhMTMWXKFDz66KPscyWHNTU1FU6nE8OHD8dTTz113mAhS83n8yE7Oxs2mw0DBw7Eli1bsGPHDowYMQIZGRmYOnVqSOR96NChEEWRlT6ll0DB3YkTJ+LTTz/F3XffDVmW8cwzz2DEiBFIS0tDMBis1u9LjT9gwAB069YNL730EhYvXsw2ktFqtRg2bBjmzZvHGDjU8atT/pIk4emnn8bbb7+NgoIC7NixAxzHsVpCVLRNEAQ8+eST4LgKChlZbG+++SazCBo0aID58+djzJgxKC0txfTp06HX65GamsrKXLRs2RIDBgxAo0aNsHHjRmRkZGDJkiV44oknGMsHANuJiFgGVdVHrw0IBiu2/du9ezeys7MxadIkNGzYkK2KlEqyOvh8PlgsFkYgcLvd52VeXgwx4VKDnokMkfj4eFYioEGDBszvXlpaitGjR8Pn82HWrFksOSk1NRXAH/22qKgIGRkZ8Pv9mDBhAhYuXIhdu3Yxi7dhw4bsGuV14UAuNKPRiAkTJuDQoUNYunQpU4JZWVmoW7duSIIacdvDBeiJwjp8+HB8/PHHWLNmDXbs2AGbzYZ+/frhscceY++qKiiVf0pKCoYNG4bdu3ejoKAAM2bMwDPPPINt27bhyJEj2LBhA5555hnmmnG5XGxjmsogl01aWhq8Xi+KiopgMpnQtGlTVt6dVvxarRZOpxM+ny9svgit5Cj+FonxctnZPqIoIi4ujpX+DTcIlFYjlV8NZyWR0hFFETNmzIAgCJg5cyaWL1+O1NRUPPTQQ2xyoMamXb3Ir6f08VFDDh8+HFqtFi+88AJmzpwJk8mE1q1bA/iDy1/TIQgCFi1ahCFDhqB169aYMGECtmzZAlEU0a9fP+j1+qiKe5WXl+Opp54CAGzfvh1ff/01rFYrZsyYwVZSHo8HPp8PcXFxbC9ScvNQKQue5+H1etG0aVN07NgROTk5WL9+PXiex4ABA2A0GhmzKSkpCTNmzEBqaipuvvlm/OMf/2D3oyUvufHItQbUzuxeWpGStUSxG2X9+EjZPjQ5er1eLF++HC1atMB9993HLE8qahgrdFilcqBJnNyI9H9yvfj9frYKJ8VSue9TImEgEMBtt92GunXr4vDhw9i+fTsSEhLYuIxkHBkMBuYWHTRoENq2bcsCwGazGf369WPuTmLJkZzhOPK0u1j9+vUxfvx4lJaWIicnB6WlpejatSvr25HIJssymjVrhu7du8NkMmHjxo1wOp2YOXMmhg4dijZt2mD69OlwuVzQaDSsvDK5m8LROA0GA5YtWwaLxYLExEQ0bdoUL7/8MhISEhAMVuxpsH//fsiyzEpcK5lkdJBblqqj0r7D1eGyK3/qVEpLlZaKSj8YdSqyjMNRsohTr9Vq0b9/f1ZQTa/Xo3HjxkhISIDJZILZbGYZmvQi6L7UMEr61Q033ICOHTuyjL62bdvixhtvZD7fynKEO3iex5QpU9CjRw/cf//9WLRoEURRROfOnTFw4MA/GpyPrHS02WyGRqPBvHnzUK9ePXi9XnTs2JHt9UvVO5W1/5WVS8vLy5nVwPM8kpKSsGTJEjRu3Bg8zyM5ORnjxo0DALbtHe17umLFCmYNybIMi8XCFKXBYGDLyVizaKMBWYvBYBALFiyAxWLB+PHjodPpoNVqYbPZIlb+xKoSRRHbt28PSRIzm81sEMYK2wf4w7dOLDKDwcCC21RIUKPRsK0GPR4Pi5dV7qs0uRkMBjRt2hSfffYZEhMTYbVa8fTTTyM+Pj6iPk8ykeKzWCx47rnnkJWVhXbt2uGtt95C3759Ga2T5CfdEA60yblWq8WUKVPwyCOPgOcrNnsZNGgQC7RGOsYTExPhdDrx0UcfMR/8+PHjMWjQICQkJMDtdiMuLo65p6tj+5FnoGPHjvjkk0/Qpk0bfPjhh+jQoQPrQyaTCZ06dWKxQ4pfVgZNAkRTptVCdbjsvVGZrBEOpDyUjBdSNJWXN9SY1CjPPPMM3n77bXTo0AGDBw/G2bNnWQYw0ZyUO2qR5a8MklBQ8/XXX8eWLVsgyzK6desGjuNYrf7qlIBySUirlSFDhsDv9+O9997DqFGjQqz+yhOe8h5K0KC68847Ub9+fZw7dw5xcXEhe6uSHzacPPR/Ws7b7XZYLBZMnz4dAJCeno42bdqEBIOUg4ksjcq+/MrxinCBrNoAynAWBIFZ7uTLBoDExMSIJzaKIdlsNoiiiEGDBrGNNi4mr+VygcYBQUm6oIkAABsrRKggBatk1dF4VfbhFi1a4OOPP0Zubi5uuukmlm9S+bpwUJIxZLmiLPmqVauqfBY6l3RF5TFFih+oULbPPPMMmjZtiu7du6NRo0Yhz17Td9BEScy22bNnIy8vL4TZRJ+Rq7imCZ8+79q1K9uilsaeElT6RWm0Vn7OcPetrg/HjClCnYzcGeFehiRJbImj1+vRo0cPliFHHZB47pFYWbQphSzLSE9Pxx133BGyJKNzIknWUq5UiKrZu3dvWK1W1iFISUQS+KOXT3xsqm5IMhOjKFKQ9TVq1KiYyzi9EqD3sX79ehQWFqJPnz4XfC+yyF5//XXk5uZe1PaPVwvat2+PNm3asBVRrAS8eZ7H6NGjQ8Y45TNEci3lAdntdiQnJ6NevXqXW+TLhphQ/qTIGjVqFJLUVBlKC4ReHiXm0BHNhjGklCtvQ0jgeT5iPz1NViSXIAgs65EmrHAzdFUgWWjjb9oog/yuyrhGTVA+H8kRCwPxSoKCsTt27IDD4cCtt956wfeivldWVoa4uDi2KosmQ/hqQmU3ZDQblfwZULqIohkL5C0g94pyNVAbERO9k9wYjz/+OHNRhHshkiSxCLnSbUMBSApORhpYo+JVSqucAkf0d6R1tqkjAH8sl0kWysyLhj5IASIKUANggWvaPjJSUNCaKJnKmud/VVDJC7vdjk6dOoWlFkcKWqbr9Xo0adIE9evXr7UK4VJC6cKpqc7MnwkaW+QpiHSME8lBo9Gw8t+1+T2LNSkBpT843P+ruyaac30+Hx566CGWMEL+2BBhFZQsr9fLltu0rKy88XlN8lAiCbEH6HryAVM10UjkV/oxydI3mUysyJMyUBZJ+9CKg5LZSFkRi0eSJJYtWpU8BLJWjEYjSzlXXqv8Ge6oTtZL1Q+qkj3ac0nmynEKWZbx+eefo0+fPkhNTYVer8epU6dYgK1Tp07Vylut71QUsW3bNnzwwQe4/fbbkZ6eHrb/RiJ7JM8czbmXoi2r6hNVyUMrXAqkEnU2UpkulexVQavVMtdyNGOcxjAVZSMDsXJyWaSyVyVv5WuVBd4oRlm5mkFN9w13nhhJwE75eVW/R3NdOASDFRsvbN26NST4q4QyO5L88BSsiWTpVlkeGpzKwDLN5nRuJMlL9Hk4vrtSAVRu60jahyY72oSC5KvO4gj3nCRH5ZyFyudWddT0HdXhzzyXMncpq9bj8WDPnj2YN28eNmzYgHHjxuH1119nWdBOpxNNmjSpMikmUnlo28H09HS4XC4Yjcao3tHFPPPlPre6/lDV72S8UNZ75Qn5z5C9ujFFbhsgujFeuYxJuAk+Gtlruo6MR71eD6fTyVZQlfVKtPcFYsTtA1RY4WPHjoVOp2ObpKhQES1ocFLpjwkTJmDUqFHYunUrXnjhBfzzn/9kNOClS5ciPj4eEydOvOjvfemllyCKIh5//HFGWVah4mJBrL9gMIhVq1YxmvelQMw4rLxeLxITE9mO9CpUXAhkWYbT6YTJZMLcuXOxfft29O7dG2PHjsWgQYMAgNE7N23ahJKSEtSpU+ei+pwsV2z5RzEjSvFXDRgVlwI8z0OSJKxbt47FNi8FYsbnTwMSqJ6jeiE+tdrgp44Fea4Gn7/dlRpZ1QAAIABJREFUbkdcXBwOHTqENWvW4Oabb8abb77JaLKUsEQWVHx8PMsovVCff3l5OYxGI0aPHo3ExEQUFxcjKSmpymuudp9/rMgeS/JEel24a4k0IssyI5Uoef4XKk/M+PxpNqvJ1xztfS/0uljxT/7Z59Z2n7/VaoXb7cYnn3yC8vJyjBs3DomJiXA4HIiPj8e5c+eQlpaGXbt24eTJk6z0NQA2uIgRRXRaiuVQEJfYIi6XCyaTCZ988gl27NiBu+66C7JcsaetVqtlJQ+oIKEythTr/aDyZ9H6/GNB9liTpyZU9xyU8Uuxk0shT8z4/GVZZoyA2lYhUkXsgPj2q1evZtm2HFexC5koiqhbty54nkdOTg7bCtRkMrEgMc/zsNvt8Hg8LLBOg0251aFycxa6v9lsRq9evXD77bdjxYoVKCsrY3RSCtypUHGhIKPkUrl9Ykb5q1BxKeB0OpGUlMRyJMK5rgDgnXfeQcOGDXHTTTcxPyrtnkY1V6pbUlMgrri4GKtXr0bjxo3Rt29fnDlzBuvXr8ekSZOwcOFCOBwOxjqKJa67ChWq8ldxVYHYPl26dIHL5cLq1avDKvGcnBz4fD5069aNVbUkiyoQCMBut9cYz5AkCSaTCT/88ANbDcyZM4cl5r3yyivYvHkzmyhqc0KQiqsPqvJXcVVBFEW4XC5MnDgROp0OX3zxBQvoKkGF3MrKyliZcJoAiJt+9uzZar9Lq9Vix44drGKkVqtlpAWO43D99dcjPT39vMJoKlTEAlTlr+KqgizLMJvNaNu2Lfr164elS5fi+eefRyAQYOVBli1bhvLyctx3331ITk5mLiK9Xs9S/QOBAH7++ecqv4fjKpILV65cyWrey3JFRdg5c+agV69eyM7OxkcffcTiByqFWUUsQVX+Kq4qkOVvNBrx7LPPwmQyYfXq1Thw4ADbVW7Lli3gOI7ta0xF85QBWa1Wi2bNmlX7XefOnUNeXh5MJhM8Hg/MZjMaNWqEiRMnYsmSJWjSpAm++uormM3mqDbyUaHiz4Cq/FVcVZBlmW3cExcXh0cffRSnT5/GXXfdheLiYsiyDIfDAZPJhLi4uJBifACYC4jnebZPcThQ/abS0lL06NED1113HRwOB7tWo9Fg5MiRsNvt+Oyzz+B2u2OqsqUKFaryV3FVgfaDoAqMDz30EB577DEUFBRg9OjReOqpp7BixQp07doVLVu2ZHXcqUAX+eZpOzwKBiurQNKEsXfvXmzcuBGNGzdGcnJySF0ot9uNZs2aIRgM4vjx46rlryLmoNIPVFxV4DiOWeXE/HnsscfA8zzmzJmDAwcOsICuKIpwu91sf13a+o5cQqT0iedPBQcpyWvnzp3QarVskyHl5tkGgwF6vR6BQADFxcUsq1jNX1ERK1AtfxVXFURRZAldVPJbkiRMnToVY8eORVxcHFwuF7Zt24Y9e/ZAkiR4vV643W74fD7IsoyysjIEAgH2N00ClGRD7KElS5bA7/fj3nvvBcf9sScEbbzNcRVbHNavXx9Op/MKt4yK2gjqf7TFJv3vUkBV/iquKpBVT4qfVgCBQABz5sxB48aNYTAYUFZWhnnz5uGtt95CUVER27hdkiRYLBZWN5029KEUe6/Xy5Q87RrXqlUrAGCKn1w83377LerUqYO77roLCQkJKttHxQVBFEXWl6lPXpL7xkpht5oKitUkT3WI9WJksSLP1VDYLRw4jmMul0AggJYtW+KBBx7AjBkzsHnzZnz22WeYMGECmjdvjk6dOsHlcjFXkEajgUajYXvRynLFlpo5OTkoKCjA7Nmz2d4BkiRBr9ejoKAAb7zxBpYuXYqsrCy2wxztWFdbipGphd0unTyRXhfuWoo7UdXY6vpQNPLETGG3SIqJXch9L0aeP/PcWJGnthd2C4dAIACXy4X9+/fj1KlTeOihh3DrrbeiYcOGeP3117FlyxZMmzYNVqsVvXr1QlJSEp555hm2WxMVcaP9eYuLi/HDDz8gNzcXZrMZwWAQDocDwWAQO3bswGuvvYa1a9fihhtuwJtvvon4+HhIkhSySVCs94PKn6mF3a5MYTfatQ+oWAFQqfBLIY8a8FVx1YNcQDk5OSguLobBYADP8+jUqROWLl2K/fv3Y9GiRZAkCatWrYLdbsexY8cwZMgQ+Hw+ZGZmol+/fmz/6E2bNmHmzJnQaDRYt24dioqKIIoivv32W2zevBkJCQno2LEjlixZgri4OHi9XpYUpkJFNJBlGVlZWbBarSgvL4fBYGD98GIRM8qf/Fg0QKrbA1WFimhAZRVOnDiBzMxMDB06lO20xXEc2rZti9atWyMQCOCBBx7AuXPn8MQTT+DZZ5+F0+mE1WpFvXr1YDQa4fV68fvvv7OSDUuXLsXy5csRDAah0+nQuXNnjB07FsOGDUNSUhKAitwBtbSDigsBz/Po0aMHLBYLysrK2P8uBWJG+VdW9GpwTMWlBM/zeO+991CnTh2kp6ezAUTLYPo7Pj4eaWlpWLhwIXbu3Mk2GVq8eDG2b9/O6vckJiaitLQUiYmJePrpp6HX68FxHAYNGsSqiiqX2Koho+JCQEUBlX9fVcpfGZTgeR5Op1NV/iouGQRBwK+//gpJkjBo0CAWvFUiGAzCZrMhJSUFsiyjVatWaNasGWNaTJw4ke0zMW7cOKxatQrbt29H06ZNodFo4PV64fV6Q/akUKEilhETPZRmM8qg3LBhA4qKiq60WCquEgSDQXz00UeQZRlDhgwJq5g5joPBYGC0TnI7UsCNdlAi7j8ldYmiCIfDwXbw0mg0jNWjQkUsIyYsf+CP9Hq9Xo/du3dfsqCGChWCIDBlTG6cqrJt9Xo9o9bRhi5Ur0cQBOzfvx979+5F9+7dkZCQwOidRMVTyzioqC2IGfOEkhc8Hg+8Xq/qI1VxybBjxw4sW7YMt956K1q1asX25FWC4zjo9Xrm5rFYLMw1RLV8JEnCqVOncObMGfTs2RNms5llEuv1ehgMBkaFVC1/FbGOmOmh4QajChWXAn6/Hy6Xi2X7hsuQrIrHThm9PM+zScBisWDAgAHMNaTcczqSPBUVKmIBMaP8Vai4XHC73RBFkVnqNe3PqwS5h2gC+P7771mOgE6nY5OKChW1DWqvVXHV48033wTHcXjwwQdZBc5IFDb5+4E/VgArV65EYmIinE5nSJq9ChW1DTFV26fy/8Ndp9b2+fPkqa21fYiZQzh58iT0ej0aNWrEgr2RJF0pK3USE43jOAwbNowVizMYDCHU0aupHk24Wj5qbZ8LkyfS62q6tvL9a31tH1mWQ3Y6ogJaVV2j1va5+HOpAiXP8/D5fNDpdMx/HQwGGc2xttX28Xg8KC4uRp06deDz+XD48GGcO3cOL730EiRJgtFoDOlbNdUE8vv9kCQJGo0G//rXv1BWVob27duzQm0UKK6u5k00zxlLbUmxEipcp9frzwuWx6rssShPTQh3nSzL8Hg8jEVWuUbUxcgTM24fsqQ4rmIzjktVtlRFeJCilyQJOp0ODocDgUAAOp2uVrsyOI5j5ZMFQcDmzZtRXFwMv98Po9EISZJYoaya4Pf7WR1+oh7Lsgyv1wtRFKHRaKDT6a5qWrLBYGClq1U3158PWmkFAgHEx8eD5/lLphtjRvnTjAYgZOMCFZcHlZeZZFnQ/71eb62chHmeh81mY1sxkt/eYrEwdo5Go4noXhqNhrl1XC4X1q1bh2uuuQZt2rRhq1Rlv73awPM83G43S3SjLS9V/HngOI7VkXK5XJc0ezwmlL8sy/D5fNiyZQt4nkf79u1Vnv9lBu1JC1S4NxwOB7Zt2wZZltG3b18Af9AWaxM4joPJZGKKftu2bbj//vvRv39/AIhqMwx6fkEQ8P333+N///sfxo//f+1de3wU1fX/zs7OvnezSUgECQiRYEFEP60VBAFFlLa2UZQWEbH2odRHa4tS+6siWPyI1D5AUbDlYSgICFhofCAPQdCUKFKKINaiEYEAee1jdue1M3t+f+C93Q0BAiYkwHw/n/mQD3tn5sy955577nndO3DhhRdykxmr2Hk2gvk7KioqIAgCSkpKEA6H25qscwpEhC1btkCWZQwaNOjsq+0jCEeOu3v55Zfh8Xhw7bXXIjc3t63JahWwLRwbQCaAT7cAyRSCTFuuqKiA1+vFd7/73azwxjMJlmXxxKvp06fjH//4B9566y3k5eXxNiejqbMTu1566SU4nU6MHj2aa2OWZSEQCJy1wj+dTsPv9+OVV16BKIoYMmQIOnXqdFre2/jAkuZGZzGzMfNbNXdsmnIYtwfeFwQB7733HqLRKG688UYeXNASynG7Ef5erxeJRAKyLEOSJHg8nrYmq9VgGAbfyjEGPd2MxpiblTZmdKVSKQQCAV6y4EwTbGxHIwgCPv74YxiGAY/Hw78HQLMjc5iTk/XVddddh2AwyHkzcxE5G23h7AQzVVWhaRpSqVSr84NlWTyZTpZl7qDP5NNjIZFI8OMOmS+rOUKSiJBKpfhcZLWb2kupjnQ6DcMw4HK5eDBMS6Dtl7ZzDOzwbzaYp2NCnUtgVWFra2uxd+9e9OrV65R3kcy5u3LlSmzduhWXX345vF5vC1NsIxOWZfE5wTTc5u7U/H4/35EBR+Zac89RYDsN5uRvD1o/A/MrZdanagm0ny88R+ByueByueBwOCDL8hlpV2/PUFUVLpcLu3btwkcffYRhw4Z9ZVMFG6OCggLbF9XKkCQpawHQdb3ZPhom7J1OJ8/kbs7cYuNrWRY0TYPf7+dRXu0FTqcTVVVVAFpul2kL/9MMQRAQi8UgSRI3J5xpETXtGaIo8vo9LH/hVMGcxitXrkSXLl3wox/9qNlhojZODZk+GyaUmxtKy3ZlbNfASnGfCJmJfOy+YDD4lb6jpcC+RVEULFy4kOeXtARaXfgbhsFXcuaISafTsCyL22fb6oi7VCoFXddhGAbef/99VFVVwTAMHuLIUvobI5PmWCyGdevW8e9j38u+rylIkoRt27ZhyJAh+PTTT/nz2DszI3FaCyx+mCV7NT55qnFbNjkYralUio9re7J3s8SrRx99FJIk4cEHHzzlnRVLgFu7di3nheaGibZ3sOQ1VVX5QmlZVhb/seAEURR50l9rz1Um8Fll34ULF+Lpp5+GYRjQdZ3zXVN0MEexZVn429/+hqFDh2LDhg38HmbbbwpMEduzZw/69++P0aNH8+9lPN8WfM7Gwev1oqamBm63u0llMXO82FxlOyH2zY37rdUdvixxKxKJwO/3Q5IkiKLIO5IR0xY2tkQigVQqhX/+85+4++678etf/xo/+9nPOOPpuo5AIHCU48c0TcTjcYiiiF/96ld49dVXsXPnzixtIR6PH9PW7HK5sGzZMnz88cdYsmQJfv3rX3PhqygKgsEgrx/fmmBCPTNksTGDs4njdDphGAYMw4AkSUgkEnC5XJAkCYqi8KJpbQ2Hw8HpkySJ77BOFUzojB07NisL/UwGU1IAcGWH/c0c5MlkEl6vF36/P+vIy9OhlDCl4u6770ZlZSX27t2L73//+7jwwgsBHDHt+Xy+o2SGYRgwTROiKOK1117Djh07MHXqVPTu3Rs5OTmIRqPIzc1tcgE3DAMOhwOrVq3C7t27UV9fj5deegkjR46Ew+FAbW0tCgsLTzuPs8VQVVUAR+RpU/R/8MEH+MMf/sCjnQRBQE5ODkaPHo2ePXuiQ4cOfOxYv7W6xJVlGYqi8NTwRCLBa/azQW6rCSVJEjZt2oRFixZBlmVMnjwZq1evhiAISCaT8Pv9Td7H6F20aBEWL16MaDSKBx54gGtSx9M00+k0du7cibfeegvBYBB//vOfsXz5cq5ZsGiF1l4MmYPL6/XC6XRmRcNkggl9Rp8oilBVFX6/H6Io8kWwvfgtLMtCRUUFNE3DkCFDjnloS3NARJg8eTIkSULfvn3h9XoRj8dbmOK2gWmaPIehpqYGzz33HEpKSnDRRRehqKgIl1xyCTZv3gxBELIiYVobzGG7efNmrFq1CtXV1QCA6dOno6GhgWu9TfEqi1YbP348VqxYAb/fjw8++ADTpk2DrusIhUJciDaGKIp466238OSTTyIUCiGRSOCRRx6BqqpQFAU+n6/NLBTNgcvlwieffIKVK1fi448/RnFxMT755BOMHj0a/fv3x6pVq2AYRhb/OjKLNbXG5fF4uDBbsmQJRo0aBQA8DEsQhCyTAoBWpSfzisViKCsrw9q1a7kwnD9/Purq6rKSWZq6d9++fZg2bRo8Hg9cLhcqKirwyiuv8JWX7QIa3wcA5eXl2Lt3L4+jXrBgAResmVvM1rwAcGeaZVlIJpO8tEPmpes6F/SSJKG8vBzf/va3MXToUAwcOBAjRozAE088kTWGbXm5XC5s3rwZ9fX1uPHGG487hie6WAiyx+NBfn4+APBF8ky+2IljoiiirKwMt956K15//XX8+Mc/xvr16/Gzn/0MXbt2hcvlgqZp3OTD+qQ1adN1HR9++CHuueceAEeEciAQwKpVq7B+/XoeCs7MOJkXM40sW7YMOTk5kGUZhmFg+fLlOHDgAAA0ObeAI8rQU089BbfbjWQyCVVVEYvF8Pzzz2eFnrfVmJ3o3RdffDG6deuGUaNG4ZVXXsGjjz6KZcuWYcaMGRAEAQsWLICu6wgGg/weB9tWtNYFgK/W06dPR2VlJd544w1ua2b2qMz2rU0TuyZOnIjKyko4HA6UlpbyLOMpU6ZkCYCmvun5559HdXU1cnNzMWzYMOzfvx/Tp0/nZhJWDKvxtXjxYsycORNER2xymqZh27Zt2Lp1Kw9rY1pZa15ExOO4nU4nOnfuzDMIMy+2zVVVFYZhIJFIYM+ePbjgggswbtw46LqOsrIyHD58+LSN2/EuwzBQXV2NXr164bLLLuM27FN51qFDh/DWW29h6NChuOyyy9DQ0MB3EmfyxYRJLBbD22+/DafTiTfffBMTJkxA9+7dMW3aNMyfPx8XXXQRj5gRhCOmBxaF01qXoihYtmwZZFlGOBzG+PHjMXz4cCQSCfz+979HOBwGEWXRxa50Os3Ld/t8PkyfPh3BYBAHDhzArFmzeMJe4/tM08TixYuxd+9e+Hw+DB06FOPHj0c6ncbnn38OADwvp63G7ERycceOHfj3v/+N7t27o6ioCJIkwefz4Xvf+x6GDx+O9evXY8eOHVnPaVHbAnN0Zjo8XS4XFEXBj370I3z44YfQNA2bNm3K2o6Losjtypn2rJZePZmtk4jwwQcfcBPPjBkz8Nxzz+HOO+9EPB5HRUUF3n//faTTaaiqmuUsIjqSbr1w4UK43W4sXLgQZWVl6NChA3bt2oV77rkHDQ0NPOKEmbdM00RdXR3mzZuHRCKBW2+9FTU1NcjLy0MqlcIf/vAH1NfX80VB13XusMlcKJmTWtM0buNk21H2HsMwoCgK/95UKgXDMCDLMr+fOcfS6TR0XecM3rjccTqdhqZp/P/T6TTy8vKwYMECjBw5Et27d0dDQwMfy9ONTIe1ZVmora3F6tWrUVBQgKKiomb7IoiI8wYR8Wd99NFHMAwDsVgM55133lkRmcV4c8eOHSgvL8fs2bNBROjQoQMCgQBM00SvXr1wwQUXwOFw4Morr0Q4HMaSJUuwaNEi3t/MHMj4DgD/jQVSZM6BpsD63TRN1NbW4rHHHkNZWRlSqRQeeeQR/N///R/mzp2L888/H/v378dtt93Gx9w0Te64Nk0TH330EV588UVomoaZM2fiJz/5CYYMGQKfz4f58+ejqqoKgiDw9ixIQ5ZlrFy5EpFIBP369cMrr7yCW265BR07dsTChQsxd+5c7vg2DIPXO2J0ZwY+sP5oDiorK5FMJvl8ZP13+PBhvPzyy5g/fz7mzp2Lbdu28b5iCWxsB8dk0xdffIEDBw7wfmFtM/05jf2ILeq9YASxLDQmOPbv38/NIjNmzMjyOrMMvkQigd69e2P37t0QRRHbt29v0heQufUEmlcWgd3DCiP99a9/RUVFBerq6jBkyBDccMMNkCQJ9957L95++21UV1ejvLwcnTt3Rn5+PhoaGuD3+yEIAr744gs88cQTMAwDN998M4qKiuD1evHoo4/i8ccfx5tvvol9+/YhHA5zRhNFEW63G+vXr0dlZSVycnJw6623wul0Yvz48ZgyZQoaGhowadIkPPjggzBNE506dcoS+Dt37kQ4HIamaTwUjvU32waz/ojFYtiwYQNGjhyJWCyGqqoq1NTUYNCgQfjwww+xcOFCDBo0CKqqYvTo0XjooYfgcDiwYcMGuFwuzoyMsdiYOhwOVFdXw+1247///S8KCgqgKAoeeOABFBQUtCAnNQ9s18iKuPl8PoiiiIaGBl6QLRqNwu/3NztjnDlCHQ4H/vOf/8CyLFx22WXIy8sDEZ0VmedM0Zo/fz7y8/OzFvtMpYwpCqNHj8batWuhKApefvllXHzxxdw2z+ooMT5nit/GjRvx9ttvI5lM4pZbbsGSJUuatJkzLVQURaRSKXz00UfQdR35+flcGcvNzcUvfvELPPbYY1i7di22bt2KK6+8EocOHeK5FzU1NZg6dSoEQUC/fv1w+eWXQ1EUPPPMM6itrcXWrVsxZcoUzJo1C/F4HG63G5ZlweVy4aGHHsLmzZtx/vnn46GHHkI6nUbfvn0xcOBAvPTSS/jLX/6CkSNHokOHDjyAJRqNIhaLYenSpVizZg1XoJgpuznhqYcOHeJnTLAdvyRJ0HUdO3fu5MpzKBTCxRdfjJtvvhnbt29Hjx49IIoivF4viAiyLEPXdRQUFGD48OFZCWuCcGT3Hg6HEQwGs+VlOp2m44H9nk6nKbNtU/el02lKJpOk6zolk0mSZZm2b99OJSUldNVVV9HmzZvp0ksvpV/84hdkmiZZlkWappGqqnT48GFavHgxiaJIBQUFJIoiCYJw1AWA/8v+PtEFgFwuF7lcLgqHw+Tz+SgYDNLXv/512rVrF0WjUaqrq6NYLEbz5s0jj8dD+fn59Oyzz5KiKFRbW0t1dXUUiURo+vTpJIoidenShZYsWUKyLFMymaTDhw9TaWkpBYNBuv766+nAgQOkKArt2bOHDhw4QBs2bKBu3boRAHrttdfIMAxKpVJkGAbddtttNHnyZLriiivod7/7Ha1Zs4YOHTpEtbW1lEgkaPLkyeTxeMjn85HH4yG/30+SJJHD4SBRFMntdpMkSeTxeEgURcrNzSWXy0Ver5dCoRA5HA7q0KEDCYJA+fn5JEkS7wun00kej4c6depEoiiSy+Wi5cuXk2VZFIvFKJlMUjKZJFVV6dChQ9ShQwdyuVw0fPhwKi0tpZ49e1IsFiPTNJvkhxPxTHN47VhtdV2neDxOqVSKNE2jVCpFU6dOJY/HQzt27KD6+npSFIXTdjx6GO8yvlQUhYYNG0Zut5u++OILSqVSZFkWqaraIrSfiJ7j3XcybZuiR5ZlkmWZRo0aRQ888AAdPHiQTNM8qm0ikaBUKkXbt2+na665hkKhEHXo0IGCwSD5fL4snvN6veRwOMjn85HP5yOXy0XBYJBycnIoHA6TKIr8yuRbxruiKJLT6aRQKEQXXHABVVZWUiKRIE3TqKGhgd577z3q06cPiaJIpaWllEwmKRqNUiQS4fPW5XKRJEm0YsUKamhooPr6epJlmRYvXky5ubkkiiL99a9/5XwdiURo69at1KNHD5IkiZYvX06JRII/8x//+Ad5vV7yer10/fXXU11dHSUSCS4Tvv/975Pf7yePx0Nut5t8Ph+JosjnJvvOY105OTl8zomiyJ/lcDgoHA6Tw+EgQRDouuuuozvuuIMWLlxI06ZNo6qqKkokElzWGoZBc+bMoW7dulEymSRN00jTNKqvr6f33nuP+vXrR7fffjslk8ms8W1RzZ+t/uyg7GQyiaVLl+Lw4cPo27cvnn32WXz88ccoLCxEfX19Viikz+dDXl4eiouLUVVVlbVlaSlQhuOkZ8+e+M53voMuXbrwOGZFUVBaWorKykqUl5ejvLwcw4YNQ9euXWFZFlRVxZQpUxAKhXD//ffjpptu4maaUCiECRMmcI3nT3/6E6ZOnYqioiIYhoGysjJEIhEMHDgQ/fv3h2VZkGUZlmXhqaeewu23346dO3fi0ksvxcMPPwxN0+B2uzF79mwe51xQUIBevXpB0zTs3r0bADB8+HBEIhFs3boV1157LQRBwK5du6AoCq644gpeP0iSJK4pE/2vhHNOTg5qamqg6zp3zrOtv8fj4QeZCIKAvLw8JBIJBINBXlvcMAzMmjULEyZMaNGxag6cTic3jamqCrfbjYqKCoiiCL/fD6/X2+wjG9nzTNOEpmk8Xtzj8XAnGQtzPdPh9Xp5eZFPPvmEa+yN+8ntdqO+vh5f+9rXMGvWLPTv3x/RaBTA/+aSKIro06cPiouLEYlEEA6H+bkJa9asQd++fVFcXMxNLexeQRC4BYDtYj0eD0zTxK9+9St07doVpmkikUhwM9ScOXMwePBgvPPOO5g0aRIef/xxHr1z7733wuVyoW/fvrj66qu51ixJEq699loUFRWhqqoKv/3tb9G7d2/07NkTfr8f8+fPR3V1Nfr164errroKqqoiGAwinU7jmmuuwZNPPolJkyZhy5Yt2LlzJy655BIAwB//+EesXr0aHo8H3/zmNxEOh/num30fcGLLhNPp5GdMs7BrJvtYgqJpmjjvvPMwbNgwvrtlMtayLCiKgunTp/OaYfSliToUCkHTNPz73//Gfffdh2g0yjOfgRY2+zgcDmiaxge2vLwcixYtwsSJE3HXXXehtrYWsVgMlZWVOHjwIDweD982CoKAb3zjG9wzz7amjUFfwewDAIqiQJIkdO7cGSUlJdxRBICHWd53331YunQp3n33XUyZMgUzZ86EaZr4/e9/D1VVUVJSghEjRvCtHfNrdO/eHXcLtlqCAAAR8UlEQVTeeSfmzJmDBQsW4OGHH4bf78eMGTOwdOlSuN1u/PznP+dZvYcPH0ZRURGCwSDGjBmDrVu3Yvny5bj00ktxxx13oLq6mmf1nXfeeZg1axa+/vWvwzRN7N69Gw6HA/3794eqqti2bRsGDx6MdDqNzz77DJZloaioCLm5udzeJ0kSkskkt/kys5ogHAltzcvL4+PHhD6L9HA4HNzUM3HiRB61deedd0KWZT4epxMsaoWI4PP5UFdXh0QigTFjxiAUCnFbNBMwxwN9aed3uVzw+XxYu3Ytdu3ahZEjRx7l7DvTIQgCVwbeeecdbNq0CaWlpUe1IyLk5ORAEAQUFRVh2bJlnG8yTW4dO3ZESUkJDh06hI4dO/JEpC1btqC4uBihUIhHjLHnsnknCAKvx+TxePiCwCLR3G43PB4PDh06hJKSEtxyyy1Ys2YNFi9ejLvuuguhUAjPPvssfD4fLrzwQsybN4/TxpQTQRCwdOlS3Hjjjfjss8/w3HPPYcaMGZg7dy7Kysrg9XoxZswYntNTV1eHUCgEALjhhhuwcuVKvPfee3jmmWcwe/ZsqKqKxYsXw+Fw4Lvf/S6efPJJ5Ofn82JylBGhczx+YYsFi6hjfgiv18vj+Vn4eGO6JEniCXo+nw+1tbV8UVAUhS8KK1asQDAYxE033XS0PG3JLaplWSTLMum6TgcPHqQBAwbQiBEj+PYtkUjQ2LFjyev10rZt20iWZVIUhVRVJV3X+ZbbMAz+vsaXZVn8X/b3iS7WNpVKUSqV4mYp0zS5ycA0TTJNk9O5evVqCgQClJeXR5MmTaLbbruNm1GefvppSqVSRETc3KCqKhmGQbFYjC644AISRZEGDBhAFRUV9I1vfIMEQaCrrrqKkskkpVIpSiaTfGutaRrJskw9e/Ykt9tNV155JW3cuJEGDx5MXq+XOnfuTBUVFZx+Zi5ipgjDMPj3maZJkUiELMsiXdc5jex70+k0maZJqqpSIpHIMnOwv9PpNO8TWZbJsixKJpN03333kcvlok2bNnFT0Le+9S2aOnUqWZbVJO+0ptmHiCgajVIikaBEIkFz5syhgoICmjhxIum6TrIsk6ZpzeLhdDpNqqpSLBajVCpFzz77LOXk5NCMGTP4+LCxayna28rsQ3Sk3+bNm0c5OTl04YUX0j//+U/Ow6ZpUjKZJEVRKJ1Oc75mc9Q0Tc5zbM4wnmI8xsy5bGwYLzamnZkt2P8risLnaOZ8tSyL6urqqLy8nAoKCsjv99PgwYPpnnvu4abL3/zmN3we6LpOsViMIpEIp+XBBx8kr9dLTqeTxo0bR1deeSUFAgEaP358lsmPfYuqqiTLMr377rskCAL5fD76wQ9+QFdffTU5HA4qLCykLVu2kGEYpCgKERGfl83hg8w+0TSNyz02r9lzMuemruvcrBOLxUhRFNq/fz8VFRVROBymjRs30ieffEKTJ0+moUOH0oABA+jdd98lXdeprq4u6/0tKvwVReGdvmjRIgoGgzRy5EiKx+OcmcaMGUMej4dKS0vJMAxuo2rqHSdDz4nuae7EYYwajUbpO9/5Dnm9XsrJySG3202BQIC6d+9O//3vf496FhOgiqJQeXk59ezZk3w+H3Xs2JEkSaK+ffvS5s2bsxYshlQqRdXV1bRu3Trq1q0bBYNBKioqIqfTScFgkP7+97+TLMst3j/NaZtKpaihoYFisRjdfffd5PP56JlnnqFkMklPPvkk5efn0/z584/pA2ptm7+iKBSLxUjTNFq0aBG5XC763e9+R4Zh8EnJFqbj0cMWuIaGBpJlmX76059S586d6fXXXydFUfgCejYIf6Y8JBIJevHFFykvL486d+5MK1asoDlz5lDfvn3pqaee4gKtJek5FdoZD2qaRtFolGbPnk1ut5s6depEHo+HwuEw3XbbbVyOZD5D13XOJ//617+oV69e1KFDB+ratSv3YaxevfooGpigZf7AsWPHksfjIZfLRZ06daKCggJ68cUXj1J6TkU+nWz/pFIpSiQSpKoqaZpGq1evptLSUiotLaVRo0ZRz549yePx0NixY+mNN94gTdP4osYWWqIWFv5s5a+rq6NVq1bRyy+/TGPHjuUaWF1dHa1bt4569OhBf/nLX7jWzZxo7UX4s05dsWIF5efnkyAI5PV6qVu3bvT222+TLMtHPcuyLIpGo6SqKiWTSRozZgz5fD7OpBMmTDhqR8NgGAY1NDRQJBKhSZMmUSgUIq/XS8FgkK677jrat28f1dfX84WjpfqnucI/FouRqqp07733UjAYpK5du9Jdd91FXbp0oSeeeIKi0WibCH+mPCQSCWpoaKDRo0dTbm4uVVZWcg2MMf6J6Emn03wRaWhoILfbTVdccQXJssyFJRMkLUH7ieg53n0n07YpepgwrKmpIVVVadasWXT++edTjx49qE+fPnTnnXdSbW1tk078r0rPqdCuaRpXrBKJBH366afUv39/kiSJQqEQFRYW0ubNm7MEW6bw1zSNdF2nRCJBb7zxBvl8PurSpQvl5OTQ8OHDae/evUfRYJomDyiQZZnWrVtHvXr1Ip/PR4FAgAYOHEh79uw5Shk4HcKfKZqMN1nfHDx4kFRVpddff53mz5/PlRZmEWBWAoYWFf7xeJwLz3g8zrWpeDxOmqZRPB4nXdfp8OHD3BPPtnlNveNk6DnRPScj/FmHHTx4kKZNm0Y+n4969epF69evp/3791Ntbe1Rz2JbzYaGBqqpqaHq6mq65pprKC8vj2688UaSZZlisViTwj+VSlFdXR3JskyRSIRKS0vJ4/FQTk4OlZWV8e3diWg/2f5pTltm8jAMg/bs2UNTpkyhSZMmUU1NDUWjUdJ1nWpra5vUiFtb+BMRxWIxLpjz8/OpY8eOXONnE7850T6maVJtbS3XLj0eDz3yyCMUjUb5NltV1WPSdSYJf8Mw6PPPP+c7nWg0SvX19TyyKzOKpKXpORXaTdPkUTjJZJI+/fRTeuGFF7i5Z/r06RSNRpsU/oZhUDweJ8MweATe9ddfT5Ik0YgRIygSiVA0Gj2KBsuyqKGhgQzDoGg0SvF4nGbOnElut5uCwSC98MILTS6Qp0P4M7MUM19Ho1Hat28fRSIROnjwIFdCa2trs8xnbAFgaFGHL/NOM2cFSw5imavJZBKGYSAQCCAej/MY//bkRGMZf6qqQpIk3HrrrZgzZw6GDBmCK664AqqqNhnr7XA4eLEzTdP4cZT/+c9/cP/990MURUSj0SZPKaOMjMV4PI7Ro0djy5YtyM3NxQ9+8AMeO01t4FQlOlJvSFEUFBYWYvz48TzFnjmOA4FAmxTmM00Tfr8fqVQKW7duRTqdRr9+/bKch5IkNYs25hCPRqPYt28fP87S7/fzfk9/mfvQHgrYfVWcd955qK6uRseOHbOSMomIR560l5wGdpB8MBhEMplEYWEhRo0aBVmW8a9//YsfO9qUU18QjhwRq6oqd16XlZXh4YcfxuDBg3nNsabAkqg8Hg8Mw8Att9yC3bt3o0uXLhgzZkxrf/ZxwXiQlTCXJCkrSZZlOQP/q+OVbhT4IKTTaTqe8KVjRNc0JbRZUgGQfQ4nEWVFjWQ+O/2lxz/zeLJToed4aA7tDKw0A0ukSqfT2L59Oy666CL4/X4+QVgns2cxzz0LB0ylUvj0009x6NAhDBo0iCd/ZFY0ZTSwd7rdbp4h+eqrr6J3794oKSnhFTczU9Nbon+a0zadkTGYSV/6y0MzWKRWU4W/TqbfT4V2VoZYEAQ89thjmDlzJp5//nncfvvtPMKJ6H/1pY5HD30ZHpdKpTBu3DgsW7YMGzduRL9+/Xg0WGZG+lelvblzqqn7TqZtU/SweQccCc92uVx8brJkuXQ6fcKw1lOh51RpZ2GiiqLA6/VCFEUekguAF25r/A7GH4qi8EKNmUlpbD41XtDZPGftGL+zRCxWV9/pdB7Vtycrn06lf1gbNo4sPDSdzi5B0fi5rOQ50MKhnplno2a+hBHQlAbWno5LA47Q4/F4suJ0L7/88qzfj3Uf8L8DJZxOJ/r06YM+ffrwNsfS3B0OB7+PPefmm2/m93i93qy+PJ1g8cQMTNCzsW7L8Ee32813U6z/gsEgYrEYn/ShUOikeCwSiaCurg4lJSUoLCzkcdftbYf6VZCpJTNlhClf7ED69la6mvEbC3UEkGU5ONahPew7AoFA1rMylZWm5lTmkYmZAp3t0L/KIUEtAV6WOUPOsnylTGTS3niuti/Ja8PGSYCZnwzDQDAYhCiKmDVrFq/jHwwGeR2W5kDXdXz22WfYtGkTBg8efMpn/9qwcSbAFv42zlgEAgEoigKn04lx48bh/PPPx7Zt2/Dqq6/C7/cjEolwk8aJwLSizNLUxzrPwYaNswG28LdxxoLZX1km59NPP41wOIzf/OY3WL58OcLhMC9BfCKkvywR8f777yMYDGLixIntziRpw0ZLQrAsq8Ucvpn3nErb9uDwbW0nZWv2ZUvRczy0J9qZU46VGxBFERs3bsS4ceNgGAYuv/xyTJkyBSUlJbx+DfM9Zfp02PPq6uowbNgwfPbZZ6ipqeHVWFuD9rZ0+H6Vtl+VntNFe3uj50Roi75s0WifzHtOpe25ILBs4d+6tOu6jjVr1uD++++Hw+HA4cOH8dOf/hThcBg/+clPUFhYiFQqxcPg2H2apmHEiBF499138e1vfxsLFiyAaZrcwdjWfND497bmg1Ol53TR3t7oORFs4X+OCqz2Rs/x0N5pT6VSiMfjUBQFqqri4YcfxubNm5FIJFBcXMxruWualkUPM/uMGTMGv/zlLxEOh3lFz9NFuy2wWo729kbPidAWfXnmZ6vYsJGB9JelfH0+H0zTxIIFC/Dmm29CEAS88847eO211xCJRPhkYPB6vZg3bx4GDhwIl8vFT2myYeNsha35f4W2J0uPrfm3Pu3xeByCIPBMa1amW9d16LoOl8sFt9udlafAkEwmIYoiLyfscDj4we1tzQeNf29rPjhVek4X7e2NnhPB1vxt2PiK8Pl8SCaTPJWdhW76fD5e7kGWZeTl5UEQspNevF4vT2pr7qS1YeNMhS38bZxVYEKfCW9BOHJwCTu/ub6+/pjCne0GWIhnY9OQDRtnE+xAZhtnFTRNwwsvvIDy8nK+3dV1HZIkYcKECfja176Gl156yRbsNs552Jq/jbMKe/fu5eclh8NhDBgwgNs98/LyuC/ANuvYONdha/42zir06tULN9xwA6LRKGbNmgXgfwXAevfujVAohH79+tmav41zHrbwt3FWwTAMVFVVIZ1OY8OGDdixYwcURYFpmjAMAz6fL6vSqg0b5yps4W/jrEJ9fT3eeecdPP/88xg0aBB++MMf4vPPP4dlWdA0DZ06dToqyseGjXMRtvC3cdaBHaAzfPhw1NfXY8mSJbxGz+TJk094SIkNG+cCbOFv46zCzp074XA4UFtbi5tuugklJSUoLy/HunXrMHfu3GMew2nDxrkGW/jbOGNBdKTuPqvuSUSYPXs2iAiFhYVwOp2YPXs2AOCBBx5AQUEBiouLoapqG1Nuw0bbww71tHHGgh08zg5VJyJYloWrrroKfr8fgUAAgUCAl3iuqqrC66+/jksuuQRXX311W5Nvw0abwhb+Ns5YsIO12RnDq1atwrZt2+D1elFfX4+cnBykUikMGDAAt99+O4YMGYK77rqr2cc62rBxNsMW/jbOWDBTDxHBNE0UFxfjt7/9LSzLQk5ODoAjC0SPHj2wZMkS1NTUwOFwIB6Pw+v12hE/Ns5p2MLfxhkLZuZhdv+LLroI3bt3h6ZpCAQC0HUdhmHA5XKhuLgYnTt3RiQSQTAYtAW/jXMetvC3ccaCiCBJEgRB4AXd3G43L+QWCAQgiiK/HA4Hv2zYONdhC38bZyyYkxcAP5aRwe/3N9keyK75bsPGuQrniSYA+71xu+Pdd6ptmzMZj0VPc+45WXqa856Toae1+7Kl6GnOPc2h50ymvfHvbc0HbUFPc+87GXpOpq3dly3Xtql2zuakumf+fqy/T+a+09m2vdFj96VN+/Hatjd6ToT2QI/dl6fW1jZ+2rBhw8Y5CIFsw6cNGzZsnHOwNX8bNmzYOAdhC38bNmzYOAfx/wXgG9ZmhJOGAAAAAElFTkSuQmCC)
physics-General
physics-
There are two coils A and B as shown in fig. What is the direction of the momentary current induced in coil B, when switch S is pressed
![](data:image/png;base64,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)
There are two coils A and B as shown in fig. What is the direction of the momentary current induced in coil B, when switch S is pressed
![](data:image/png;base64,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)
physics-General
physics-
The network shown in fig. is a part of a complex network. When current is 5 A and is decreasing at the rate of 103A/s, then VB-VA will be :
![](data:image/png;base64,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)
The network shown in fig. is a part of a complex network. When current is 5 A and is decreasing at the rate of 103A/s, then VB-VA will be :
![](data:image/png;base64,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)
physics-General
physics-
One conducting U tube can slide inside another as shown in fig., maintaining electrical contacts between the tubes. The magnetic field B is perpendicular to the plane of the figure. If each tube moves towards the other at a constant speed v then the e.m.f. induced in the circuit in terms of B, I and v where / is the width of each tube, will be
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)
One conducting U tube can slide inside another as shown in fig., maintaining electrical contacts between the tubes. The magnetic field B is perpendicular to the plane of the figure. If each tube moves towards the other at a constant speed v then the e.m.f. induced in the circuit in terms of B, I and v where / is the width of each tube, will be
![](data:image/png;base64,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)
physics-General
physics-
A conductor of length / is moved perpendicular to uniform magnetic field B with velocity v. The e.m.f. induced across the length of the conductor is
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)
A conductor of length / is moved perpendicular to uniform magnetic field B with velocity v. The e.m.f. induced across the length of the conductor is
![](data:image/png;base64,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)
physics-General