Physics
General
Easy
Question
Two particle of equal mass go round a circle of radius r. Under the action of their mutual gravitational force. The speed of each particle is …….
- v=
![fraction numerator 1 over denominator 2 r end fraction square root of fraction numerator 1 over denominator G m end fraction end root](data:image/png;base64,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)
- v=
![square root of fraction numerator G m over denominator 2 r end fraction end root](data:image/png;base64,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)
- v=
![1 half square root of fraction numerator G m over denominator r end fraction end root](data:image/png;base64,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)
- v=
![square root of fraction numerator 4 G m over denominator r end fraction end root](data:image/png;base64,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)
The correct answer is: v=![1 half square root of fraction numerator G m over denominator r end fraction end root](data:image/png;base64,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)
Related Questions to study
biology
Match the column
</span
Match the column
</span
biologyGeneral
physics
The earth (mass=
kg) revolves around the sun with angular velocity
rad/sec sec in a circular orbit of radius 1.5
km. The force exerted by the sun on the earth is...N
The earth (mass=
kg) revolves around the sun with angular velocity
rad/sec sec in a circular orbit of radius 1.5
km. The force exerted by the sun on the earth is...N
physicsGeneral
physics-
The figure shows elliptical orbit of a planet
about the sun
. the shaded area SCD is twice, the saded area SAB. If
is the time tor the planet to move trom
' and
and
is the time to move from A to B then
![](data:image/png;base64,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)
The figure shows elliptical orbit of a planet
about the sun
. the shaded area SCD is twice, the saded area SAB. If
is the time tor the planet to move trom
' and
and
is the time to move from A to B then
![](data:image/png;base64,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)
physics-General
physics
correct form of gravitational law is
correct form of gravitational law is
physicsGeneral
physics
A satellite of the earth is revolving in a circular orbit with a uniform speed v. If the gravitational force suddennly disappears, the satellite will
A satellite of the earth is revolving in a circular orbit with a uniform speed v. If the gravitational force suddennly disappears, the satellite will
physicsGeneral
physics
Two sphere of mass
and
are situated in air and the gravitational force between them is F. The space around the masses is now filled with liquid of specific gravity 3. The gravitational force will now be
Two sphere of mass
and
are situated in air and the gravitational force between them is F. The space around the masses is now filled with liquid of specific gravity 3. The gravitational force will now be
physicsGeneral
physics
The atmosphere is held to the earth by
The atmosphere is held to the earth by
physicsGeneral
physics-
The curves for P.E. (U) K.E. (EEK) of two particle system ae shown in figure, At what points. system will be bound.
![](data:image/png;base64,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)
The curves for P.E. (U) K.E. (EEK) of two particle system ae shown in figure, At what points. system will be bound.
![](data:image/png;base64,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)
physics-General
physics-
A sphere of mass M and Radius R2 has a concentric cavity of Radius R1 as shown in figure. The force
exerted by the shpere on a particle of mass
located at a distance
from the center of shhere varies as ![left parenthesis 0 less or equal than 1 less or equal than infinity right parenthesis](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQUAAAEKCAYAAAAbwEBEAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAI1qSURBVHhe7Z0FdFxXsrXnwT8QcsCJmZ2YIaaYmZliZmZmZmZmmVGWDGLJYmbJkDjMzDiBefWfr7rblDZbttS6Z61aMkjq7nvP3adg166/ibWsZS1rXbMsULCWtax13bJAwVrWstZ1ywIFa1nLWtctCxSsZS1rXbcsULCWtax13bJAwVrWstZ1ywIFa1nLWtctCxSy+fo/+9dbrTv5Hmu5zrJAIZuuH374Ud548y25cPGiXHrttZvaxUuv6fe89/778scff9h/2lquvCxQyMLrzz//lN9//11+/fVX85D/IN9884189dVX8sUXX8gnn3wiH374obxvHuZ33nlHXjMPeFpamqSmpkp8fLycPOkhq9eslcVLlsqy5StuakuXLdfv2bxlq/j5+UtycrKkpqTI+fPn5fLly/Luu+/KBx98IB999JF89tln8uWXX8rXX38t3377nfz000/y73//W8HkP//5j/1dWyuzLwsUsuDiYeMhvHTpkiQkJEhISIicPn1aDh06JHv27JFt27bJ6tWrZcGCBTJnzhyZNGmSDBw4ULp16yavvvqqdOrUSVq0aCH16tWTunXrSf36DYw1dGr16tfX72vUqLG0adNGOnfuLF3M7+jRo4cMHTpUpk2bpq+xaNEiWb9+vWzfvl327t0rR48eE29vb4mMjJQUAyJvvPGGggYgZq3MvSxQyKTr/8zJ+tVXX5pT/m095R0nfHh4uHh6esrGjRv1gRwwYIB07NhRGjduLDVr1pSqVatKxYoVpUSJElKoUCHJnz+/PP/88/Kvf/1L/uu//kv+9re/yX//93/LU0/lkMKFi0jZMmXN9798U6tQoaKxClK8eHHJkSPHld/xP//zP/LEE09I7ty5pUCBAlKkSBEpU6aMvPzyy1KtWjWpXbuONGvWTLp27SrDhg2TuXPnyq5du8THx0eioqIkMTHxireBN/PD99/bP7m1HvWyQCETLE5PTv/vzYPx7bffypfG/b9k4ngfH2/ZsWO7rFixQmbNmiUTJkyQIUOG6INWt25dKVasmDz99NPy+OOPG3vCPOhP6YPLvz3zzDPy7DPPyrPP2uy555678udcuXJJ6VKlzenfxHgNnc2p3/Om1r17T+NhdJfmzZtL6dKl5YXnX7j6O5+9+jt5PV4X4z08+eRT8thjj+l7y5kzpwIGINGrVy8ZMWKETJ48WebPny9r1qyRffv2SWhoiLz79tvytQl/vvvuOw2Hfv75ZyvseATLAoVHvH777Te5aAAgICDAxPknZf/+/bJt61ZZumSJjBs7Rrp0eVUaNmoor7zyilSuXFlP4nLlyikg5DGnNCf1iy++ZP6/uvEWmpiwoKW6+YQI3bp214e6V6/e0r9/fxk4aJAMGjRYhg4ZJuPGjTdu/1xZtmyZrDKhxqpVzm2lsRUrV5kHeIH+zODBQ/V3DBg4SPr27Sc9e/bW1wCoOnToYF67tQGQFtKgQUOpVKmSeiO5cr0g+fLlk5deeknKly+vn6FKlSrq2QA2vXv3lqlTp8jqVatk586dGgYRDoWFhakXYa2HuyxQeMgLELg2H+Dr66ux+Pjx483J3EOaNm0qNWrU0AenVKlSki9vXj2Feah4oGrVqq3xfbNmzaV16zaaJxg5cpR5wOfJypWrze/aIFu2bJVdu3fLvv0H5cDBo3L4yDE54X5SPE+fkVOnveT0GW85c9ZbvLz9xMcvQPwCAsXP37n5GvPxCxQvH3/9mVOnMS/x8Dwtx0+4y6HDx8xrHJG9e/fLDvNAb968WdatW2/AZoVMnz7DgMgQ6dS5s7Rs2UqaNmmmYFG9enXz2UrKCy/YvA7CnLJlyyro1apdW1q1aqUgNmPGDM2RhIaGarjx+uuvy+eff26/ktbKqGWBwkNYAMGPP/6omXkSb5yG8+bNMw/zSAUCHgKA4MUXX1TXnhwAIMDDUrBgQf33Bg0byoABA43bPdX87AJ96Nau2yDbd+yUgwcPiftJD/Owe4m3j5/4m4f8XEiohIZHSXhkrETGxEtMQpIkJKdJUuqFa+z8XRo/c1G/xielSkxcokRExUmYeY2QsEgJOhdsgCRAwebU6bMKGvv27ZctW7cZb2StLF68TGbPnmsAcIJ0N58b76dw4cL6GbE8efJoqJHXACEgQRK0ffv2xiPpK2PGjNFkJl5Eenq6hhiEF1aZ9MEvCxQyeH366aeaHHRzc9NNTRWA2JoHghidBF6xYsWlkHk4ChQspKFArVq1pFPHjnpajhgxSqbPmGkAYL3sP3DQnPiecurKw39OQkLCJTwiSqKiYyUmNl5i45IkPiFZEhJTJTE5XZKSz0uyeZBTzl+StAuvS/rFy2ppF7DXJRU7f3vje/kZx8/zc8npBiBSDFiY10hMSjOeT4rExSeZ95Ao0QaIIqNjzGePlHPBoQYsguSsl694njorx46flN173LTkOXHSZBk6dJiGEK1bt5bKlSpr0rKgAcTCRYrqtQEUAQmAs23btjJ69Gitrhw7dkxLpORirPXglgUKGbDgCrz11lsSERGhXgGbuEmTJrqx2fBk6zkZixYrKmXLlZOaNWpKo8ZNpGOnzjJ8+Ahzoi6RXbt2m4fnhHh7+0poWIQ5lRMkzjzscTx4xuKxxBTz8JuH0TyQCgApmHlI7Q9qUoo52fXvV0/4B26O17vymg5LN+/JvC/AwngVvNcr79/+Z4Aj6Fyo8XDOyuHDR2Xrlm0ye9Yc6dd/gLQ2D399E2pUrVpNSpowSoHC7lEULVpU8xXkMGbOnKngkJSUZKti/PCD/S5Y616XBQoPYJEhx42FqEPSEBeXzDpub0Pj9jtKemxm8gSUDevXry9t2rWTAYMGaey9fPlKDQWOnzipp2qoccejouPMw58kyeYBS0kzp72x5GvNPJR4AbavTh7YR2TXvh/9cxp2/XtPMV5Givn3RAMYcfGJEhkVK8HG6/H28ZdDBiA2btqs4Dh+wkTp0auX8irq1KkjlV5+WROWgARlVxKWLVu21IrGqlWrxMvLS0lbVHQgd/3f/1kk7btdFijc54I9SIwbFBSklQMShg0aNJCSJUtqXsCWdS8hlatUNQDRSLp07SojR4yUWbNmy5q162SfCQnIBQSdC5GIyBiJj082D4rd7Tcnbop5qJwCwjWWhGWUJ3BfZntvzt5zctolOzCYP6faPqstDEnX8ANQ9A8IkpOep2Tn7j2ybNlymTp1qgweNFjatW8vtQ1AVKxYSYGWXAQeBIlYwosFBpDd3d3VU4M0ZXkPd7csULiH5Ugakg0/c+aMlvUGDx4sjRo1kgJmcz5mr83jHZBp79ChowwdNlxmzJwl69Zv0NzAKRNbBweHS6yJwXG1OTWTHe6+ww13hABOHzgXsr98ZvIgNi+DEIQwIyDgnCZTyUUsX7lKJk2eYsKMgepBQLIiJ/MU/IinnjLhRkkFh7Fjx2o1JDg4WN577z2lX0MJt9atlwUKd7nwDEgcHjx4UJYsWaJkIsCAUwoQyFuggLxkQoRmZrMOGDhQE2lLliyTbdt3yLHj7lrmC4uI1o2O66xJwHROzUu2EzRTnvgP17gOKepJ2K+LAUZyKIRTwaERctbHTw4eOqIhxrx582X0mLHSs1dvqV23rhQynkN+A8yEGJQ44WyMGzdO1q1bpzwQEpMQxax182WBwh0scgZwC+AVHD9+XGbPnq3UYrgElNQoIxYrWkxq1qwlrcwJNXDIUG0i4lQ7dsJDfEycHGI2c3RswpWyoLrM+hBkVtc/sxhAafMa9HoZL4JyaKQBCJKUZ876yKEjx2Xrtu0y04RkPXr3lmbNWyggFCxYQMldgDVEKXI85B2gWhPykRC21l+XBQq3WIABtGP6DvAMpk+fLt27d9cGITYafIL8+fKrl9CubTuZMGGyrFy1RsHA0/O0btqomAStDFwfT1sgcE92wzVMMYBB9QUuhr/xwPDEthqPbLHxzIYNG6H9IHgMAAPmoFrTL4KXR+hHlYhw0FpXlwUKN1lkrdkwlLvoOwAMateurQlEKMZUEciG0xcwyYQIa9asMy7tUTnr7Wti2DDNpsfFJ+vJZnODX5Nke4hgeQb3blcAwVzLVHNNCTMSk89LXFyihJuwLDAoWDxPe8ket33mwV+qbM/27dtpxQe+A/cOmjiAMWjQIM0H+fn5WUzJa5YFCk4WSSmSUxBkunbtciVMyJsvr24qqMY9e/aSuXPnya7dbvbqQZhEmBOLxOFV3sB5pxvbsgdrmqA1wEBSMj4xVWJiAYgY8Q8IFnd3T9m0eYtMnDTJgEMH5TfAFM1n7iUgASGKvBB06ri4OE0gZ/dlgYJ9wTPAjUSIhF6Enj176obB/YRsxEaCbwBhBobh9u07FQygEkPISXCUEdmk6g38dfNalvGmnoQdJBIS0yUmLkmCjOdGaEHlZ/ToMdo4BsfBcV9hlsInGT58uBw+fFhJUNm5Q9MCBbMgHZF4OnLkiPIMSEqRPHSUFaEkt2nTVkYZV3Tjxk3aGBQWFmlOJPIFabZMuTGHa6ugYAHDw7drrr+jekE1B8q3Vi5CDDiccNewAgo5zWd4DgUKFNTGLLgOlDiho0OCQlUqO65sDQq//PKLst9o0V25cpWqEpEzQHuAJCKxJ2AwZsxYbSFGTSgsLMKEBTZega23wJizDWpZ5jATwjko4KnpAESKNoy57d0nCxculkGDhyip7EUD/gADhwEsSXgnu3fvkZSUZPnii8+zVeNVtgQF3EL0DFEyojeBfgM2hqNBCeUiqLP8+6LFS2XvvoPi7esvEVExuqmsECHrmeOewZykaSvEgDvNWdtMGDhr9hzp16+fNGzQ4MoeIFTkQJg2bbqWoVG/gt+QHWjT2Q4UuKlIgJ06dcqcFIukXbsOUrhwUVUMgjLbsFFj6T9ggP6fm9t+OevlpyUvauO0D2ut3LIsawoO9j/HJqSYkCJCPDzPKM9h2vQZ0rVbN6leo4ZSp5955lnjLVaQvn37y4YNG5TK/vHHH9t3kuuubAUKID0iolu3btVaNVWEggUKm5v/nAJCq1atZerUaapc7OF5SglHCQmptnzBlXLiXzeaZVnNjMegZWJzT1Muart5QFCwitGsWr1GRowcqeXmPHnzmlDyeeM5vKT8BvJNhJDkGmi2ctWVbUCBmBAFH5SHkSojREDUtFDBglK7Tm0ZMnSoLF+xUg4ePCy+fv4SaUIF2n2Vh29PXjnfYJZlSbPfUwhQ5IXiEpIkNDxSzpzxkl2798i8+fNVCIZyNKIvdGWic9GnTx+lTBNOuGoo4fKgABgQLsB7HzVq1BW1H7oXS5cuI61btZIZM2dokxJ9CRER0QYMks3GsXMMskNDUna2K/f3vCSm2Do0Q0LDTdjorSEF6lgOBmu+fPnN12JKfKI1PjAw0CXDCZcGBSjK9CtAQqIxhto0YFC4UGGpXr2G9O8/QFYY74DuO+TElIFoTg31CizPINsZ7dzkGxCFQWoOduT+A4dU4LZz51dV7j5//nxauiQR2a9fX22X59CB1+Aqy2VB4YsvvpSzZ8+q+CfIDklFpc1Ll1bF4/HjJ8n27bvEy8dPomLitJZta9u1ZaktUMiGZu65dqnCRDV7gc5MyGmI1K5es06VrNGNLFq0mIrOUr5mOA5NVtHRMVridoXlkqBARyOnP+ECHgHIDijQOYcUOcKnhw8f08wzN56ORd0IuJJWuJC9TfeA/XDg78ZzJBGJGtauXXu0Fb5lq9baXJU/fwENK5o2aaot3OSsEJTN6sulQMEhn45IKg8/Ll6RokWlfIXyOotg+IiRBvHXqPhpmDkB8A6S8Q5u3BiWWWY3B2UabgPqWCSiFy5arDMv6tSpp41xVK44fMg/INmP0lNWrk64DCjQt4B4J0o7yILnMu4dE4oQ/aT2PHPmbG1e8vENkOiYBD0NHPqGzjaDZZY5zLFPaHSLjIqTM2d9ZdOmLTJ23Hhp0bKl5M2fT/75z39qnwxMSMhOb775Zpadm5nlQQF2IoNLoSrTI089OV++AvLkE09JseLFpPOrXVRK/NixExKi4UKqlqHQBnS2ASyzzKmZ/cKeSU27pHsoICBYB+DMmDlTGjZuJLly55YcOZ5RiX7a7Bm0CycmK4YTWRoUcNFoc/bw8JApU6aoYGqRIkUNKBSUV16pKYMMakNGcT/pqb32IP2V6oKzG2+ZZbcxR56BzljmWRw4eEjmL1ggr3bpKmXLVpQ8efJpSIG3unTpUp0IjsJTVuI0ZFlQwDWDQIIiEi2vNLG8gBJS/gIm1qsro8eMU11EL29fiYiK1XABBpuzG22ZZXdjAANeA4cMPRQnPTxVcYs8AyKyVLny58unhxQCPci/kevKKitLggKtzsxixEWDYQY78fkXXtD+eIauTJkyVfbu2y9+AUE6NYn2ZrwDy0Ow7EGZbS8BDCnKfqWdfvPmLTJ06FAlyOXKnUvy5M2j08FRlcabheiUFTQashwocFHxELZt26ZCKOgjAgbFiheXVq1by7z5C+TI0RMSHGqTT1dAsMqMlmWI2TgNTMFighdzKnbv2Svjxk9QZekCBQsoPbpG9epaHgcYGCOY2VeWAgVCBrK6Bw4c0NmDTC6mmw3dAwaEzF+wSDveIqPiJYHcgblxGgNaoGBZBprus7QLKgUXEhalLMjxEydJg0YNlceQJ3du1YicNGmShhKffPKJfUdnzpVlQMEBCHvd3LTDkUYVGprgIgAQS5YtE/eTp7VklJBs0PuGG2eZZRlticZriE9MU1Lc/gOHZdqMGdp5CzAULFBQ6terr8AA05aKWWYNJbIEKHDxAIR9+/bp1GZCBliKlStXlX79+sva9evltJe3ROmAFRMu4NY5uWmWWZbRhteAxxAaHi1Hjp2QOXPnqWBsyZKltecGRXAqZd7e3goMmXFlelDAQ2Ae4MHDh2XAoIFSETXeIoU1mdN/wEAV4/Ty8VWBzivhgmWWPUJjDyI7z2xQBGMXLFwkHTp2MmFuebN3i2i+YcrUqcp+zIyhRKYGBQCBeY1IpvU3HkKlKlWliHHFahi0hbK8YeNGnRCEKKfq8N1wcyyz7JGZCSWg0TMo99jxkzoxjOnZ5SpW1D1cr0EDmTBhgiYfAYbMFEpkWlCAmETZcdeuXdK7dy8pU7asFChYSKq9Ut2EEIN1jqC3j596CElJtqSi05tjmWWP0AhnGQzk7uGpep8wbMuULafhb7Vq1bRc6enpmal0GTIlKPz667/l8uU3dEBHL4OuFSqUl7x58igfoX9/Qgabh0D3mm2UufMbYpllj9q0byLlgor+Hj3mLosWLdYp5C+99KIwkAY1Jwbgnjl7Vj799DNzGD56jyFTgsI777yrEtwo7JJUpO25YoUK0qdvX1sOwdvXhAzx2r1mJRUty+zGHsVjIJQ44e4hCxYslHbt2mkDFSpgJB+ZYOXt4yNff/2N/Sl4dCvTgQINJAEBgUr2oNyYM+fz5uKVkI4dO+nsBR8/f9VA0B4GJzfAMssyo+EtAAzRsfFy4qSHzJg5S8cKQMuHawPzcfHixdpEhQTAo1yZChSgL8fExMjcuXPVrcqV6wWDpEWkTZt2Mn/BYtXpR2AzVVV4nV98yyzLrMYhxkAaaNEHDhyWCRMmSe06dTU0hnOD97BlyxYdbPwoV6YBBbrISCyuWLFC5/qRiIEi2rJVK1mwcLGc9DgtUVGEDFaXo2VZ1wAGNCBp44fgNH7CRA0fUIwmnGBK2aFDhx4phyHTgAJDPbds2SqtDAgACEx3btK0qcyaPVuVkqLtOQSLsmxZVjeAwZFjcNu7X0baVcbZ94gLQ8g7ffr0I9NieOSgQH32888/l8OHj2hWFsQkxmratJlMmTpdDpl/D4uIUg/B2QW2zLIsafAYjMeAYvTWbTtk6LDhWqJkjilCLeTUgoOD5fvvv7c/KQ9vPXJQABCOHzsmQ4YMUaXlxx9/XMqWLStjx46XPXv2qi4ecxhS9GJaYYNlrmMIBjO5/KyXr6zfsEl69OipuYWnnnpKQ4rp06crMPz6kFWiHyko4B6dO3dORo0cqSPBcZ9QrenevYds3LhF/PwClYtwtdJggYJlrmS2tmua+E55npWFCxZJ8+bNtUyJGCwVCcbip6elya+//mp/ajJ+PTJQILHIoBaUafjwykWoWFE7HletWi2enmeucBFwtaxcgmUuZ/Z97cgvHDp0RAfPtGndWnML5NXatm0rmzZt0vmVD2s9MlBABnvHjh0qWQUqMlgDXTuQ8eRJT20moRXVqjRY5tIGI9cY0m5oPu7ff1AmTpyoFTieCyoSjCvw9/e3PzkZvx4JKCDHHhAQoFJqhAwoJ9WvX19l1EgsIrKamJSqF8sCBctc2ux7HNYjYwsDg0Jk6/YdKhXP8KLcuXPr4BkmnZ0/f/6hNE49dFCArRUbG6sdYlCY+dAIpvQfMECzsEEhYbaOR6vaYFl2MkIJs+dRiT7r7StLly2Xjh07SvEXi2tFjhB7zZo18s4778iff/xhf5oyZj1UUGACdHJysqxcsUKaNm2qgEBSBSk1LsJZLx9lLKakG+/AyiFYls0MSTcS6lHRsXL4yDGZNm261DFgQIkeIl+PHj1UaCij8wsPDRTQRoCghDZCxw4dtMrgCBtmzJipjSIMek1KSZcUc3GcXTTLHqQZ4HW4rndgfK9V/clYc4BCUnKajsN3c9snQ4cO08oc0675Sune28tLK3cZFUo8NFBgIIbX2bNKynAoMMPiGjNmrOzff0DzCLhQugFvuFiW3b+x2W580O/XnL2OZfdvOlMiMVUCA4Nl48bN0qt3b+XwkH+rV6+eLFy4UOLi4jKsTPnQQAGNxcWLFkmtmjWvjISn/Lhl23YlKCUloa1o27jOLpRld2Lm2nH97HbdQ2z+j3F5eo31eymHpasEfoIxvt7K+F5+htMMIhmmWgHXvMa1r215Ffduel1N+MxQ2zMmpF6ydJkKwFK2L1iwgFCm3G/CiG+//db+dD3YleGggIvDmz9z5oy82rmzPPdsTm2Hbt26tSwjj+DtIzFxieYi2PkITi6SZbexK9cOfQnbSUM3Xur5S5J24XVJO/+6AgL18FhzrSOj45Q6Tm0cNzXQgDKj1iGL+fnbzfyZOQbnQsIkNDRCvzc8MlpDPLLkJMVS018zv/+yvgadq0zguip6Y39P1j29eyOfppZuF2c5LtOmTpPqr1TXGal0Dk+cMEF5Pj///LP9SXtwK8NBgTfN3P7JkycrOemxx56U0qXKaS32mPmwykcwm9XpxbHspnblZDYPHdUaePQJickSn5CsQ3Bi4xK0dx+23LmQCPH2CRB3j1Ny6PBR2WNi1e07d2npa8vWbSpcs2zZClm6dLkxvtr+vGLlKpW922q8uW3bd8qOnbtl774DcuTocW1j9/U/p3MOABnougAOgMF7YHISZeXEJHsVScHC8h7uysy9TUi0zazctWu39OzZS/LkKSBPPfWMTkJbvXq1XLhw4YHPqcxwUMBLWLduncZCkDFKlCgl3bv11M0YbE4hYqcrrEVnF8Yyu9lcdNtp7DA7KJiHLz4hSbPWhGK4nMdPuJuHf6+sWrXGAPJU6T9gkHTt3kM6dX5V2rVrL61at5HmrVpJ8xYtpFHjJlK3bn2pU7uu1KlTz2bmz/XqNdAqUfOWLaWFcV9bt2kr7Tt0lM5dukoPs0GHDB0uM2fNkQ0bN+kAFAb5evv6q/fBuD56VgB8h/fieN/JahZA3M5QhMaDJoxAj3ThosXmfjQ3YUQRJftRsqSb8kGvDAUFRFNIiPTr11dLKjQ6dTIhBOVHz1Nn7GGDuQBqFijczDQPYK/IJBqXEiDlRI6OiZfQ8Cidmel56rTs3uMmS5cv1yEko8eMlb59++pofiZo0WiTJ29eKVCwoMamBYzlL2y+Figg+fPl1/H9+fSrw/h7ASlgfo6fKWC+tyAxLT9nfoY5ifweBvsiDsKEb8alzZozV9asXafTmM94eWtoEm68QTyXuPgUZe4pU1U/kyPUsMyZKSjwZ3O9wsw1PHD4iEybNk0aN26sA2YgNc2bN08++OADFTp+UCtDQQEG1vz587WUki9fPi0/Tpg4SfYdOGBc2nB1e20nhnVqODXA0mwMrlO8cccJB0LCwhUETp0+KwcPHdEQYNnyFcYbmKKNZNDGq1evrpUdrjsnClwQjDJwlapVVdWqrvHcuB/1zfcjC9akSTNtVwdEMP7cuHFT8/sa6vfUM99LzbxGzZr6e6HfAgp4f2XLllH2Ha/J/zdr3lyH9syaNVvWrFkrO3fvkaPHT6gHE3guWPMZMfGJNoDAS8ScfX7LbMBpLDYhRXz8AmTT5i0yYMBAJfzxTOHJ7d69+4HOj8gQUCC5iHIMvQ0wsag2sDkRXl2/YaPqLMbEGi/B/qFt2WrnFyXbmW6CS5J6/jVN3pFswiMgLPA0ruJ+A6ibtmxR2uurXbrow1q1SlUpVbLUlYefyk7lKuYhNeBQq1ZtadSokZ7mCOGOHz9eZs+eI0uXLpNVq9fImnXrZeuOnXLwyFHj/nuIp6fNTriflL0mJNi4Zaue/OhjokQ8fcZMGTVqtA73RRCnfv0GUtMAAVoAL79c8QawKKsAxcnWr39/WbR4sezYuVMOHzmiCeaQ0AjNf7AP0sznTTFmHRLXmwMUAE+Vijch2sJFizRRT4kSYKA3ghmVaC88iPxChoDCL7/8IkFBQTrzsZBxO6FpsjFnz56rH4pN7og1nV2I7GpXQNI8FAzIjTYu97mQUDnpcUoTfQsXLtI5AYQF9c1J/8ILL8g//vEPyZEjh7wA8BpPgAeQUu/YceM13l+yZKmsNQ81pLFjx46ZzeMr4eERkpycIucvXJKLr78h7338sXz/y6/y5zX76fc//yNfff+DvPnee3Lh0uuSfv6ixJvTPcS8nzNnjJdy8KBs3bpVk11MQJo2bYaMGDFCuhigwhMBFBAMefLJJ+Uf//ynho9sZDj9JJ1XrFilqkN4D6HhkRKXkGxvgHNcA+fXKLuaCr/ah8vs3bdfRowcqd7ZczlzSvkKFcyzNVs980wLCngJGzZsUBc1f4H8UoF5DQYgtmzdLsEmbOADJuMyWnmEq8a1MNeEKgLZfF+/QDly9Jh6BXPnzZehQ4droo+yFCrXL734ouYJSpcuI02Nu9/NhA6jx4xRD2C/2TT+gcEKMm+//a58+OGHOgL9yy+/lG+//U5+/PEnna3x2++/y+9//CG32kZ/mk32++9/yG+//W7A/lftbv3mm2/kiy++UJeVePb1N97WE//MWS/ZbsIZhHeHDBmq+aO69eprC7DtvZbWClSdOnXk1Ve7KnAtWbpcduzapcNSAs+F6kj3xBR4EfZ42jI1nheeG/JJJB0XL1kmHTp00GtbxABwx06d5NSpUw9ECfqBggIoxYbBSxg6dKiUMCHDiy+9KG3attWWaA+P07p5bG6x+bAWKJiNT0WBzPx5cxIna/npsAEDXPuJEyeZh727CcHqSZkyZc3pW0yluiqZE6Kx8by69+ihLj3e1zkTq6OEnZ5+Xt579z359rsfb/mwP+j12x//J198+ZW8+eZbKlMeERkl/gGBJtw5qPkO2uI5JEh68jmKF39RAYLcRT9zYCB5Trzs4XlawiOiFBxtFQsrGammIGmuhzESt/v2HdAJ1rUNwBY2Xhi5IvJ36enp981deOCgwIYAAAgXOB2gNA8fPsKcXgeM6xmu2fNkQMGKG22VF3MC0AQWbh4ikoebNm9VMCBOJMkHGOTNm0+bYipVqqzJRBplSOAdOXrUvgl+1WYzMtDkcx503fpuFq/Ne+C98J6++uobiTSfbY+bm1admIbUunVbKVmylAl/cpm4uJB+LsCBsAiREWT4fHz9lSjlKFlbHAezXwBIY/GJKeJrrs/GjZukU6fO6i1gKEEzZhHv7X7WAw8f/Pz89eZyIuTOnUdq16ojCxYsEj/fACW3aGmNLkgnHzp72DUnX1K6REUnam1/1+49Mm36TJ01WKNGDXW1ics5UStVqiJtTOgwf/4C9QguXryknXKfGxeeRrPMvji5CDWYZ5CWli7u7ie156Vhw8Y6idmxqcuXLycN6jeQvv36yaLFS5RoFXQuzOybZOM+41XZHoy/XtNsZPr5z0tUVKycOHFSRowYbT848mpSd+rUqUpoup/1wEABTgJdkJs2bZbGjZvoTS5dpoz06dtP3Nz2m80fpyQbfSCy+4013hI8g7CwKOP6n5aVq9bIwIGDpI4JE4q/+KIOB6GKUNW4hFQM1q1bb0IvT7l06TX71c7a66effpHY2Dg5ePCwHhjExpQ14URo7sHsm+YtWhqvYrxqbHh5G68hKs6ckMZrgD7t7JpmM7MxHcN079AXAW+hZIkS2l7NwFoaEO+Vu/DAQIHE04kTJ7TiAKmCN9mmbRtZZdzcgMBzxgVEOCX73lDAkIoLoQJ8dpJFu3a7aYkPtw8AoJyHNh+EIGLwadOnGzfRV28wFZ0HSVB51AsP56effpJ33n1PDhw4YELM4cqPIM/A3oFTQTmbGQiMcT9svAb2ESEF7nO2FuEhUZ9C2JmspDX2EMnbwoUKqZeJtxAeHq575l7WAwMF4pilS5dqvfr551+QSi9XkvETJ8pJz1OaUVYPgRj6xg/o4oa7CzWZzx8Tm6QMv+PuHrJq9Wrp2au3klAo1xEmcO06GDCg9EhMnZaW9kh0/x/2ojIC8xWC04QJE6VpkyYKDkWLFlGPE7nzkaNGyzbjNZw6c1bLcswTdVxbZ9fdpS3FHoKmpJkDJlrp7L1795WiRYppGAF/5MiRI48OFEgs/WRiRjLfaCXkM+7fs88+K21NDLxx0xbtssPVyY6VBm4cORTq71ExCcYNDpDdbvtk9tx5mkgsVaq01vIBBUIuOAgkii5cuGi/utlr/fLrbxIeEanch/79+2uMTIIVPka1aq8olRr25qHDxyQwKFRi6Na0d4Y6u/6ua7bwm5Z2vAXk2+bNXyDVqr6ivBBK1itXrtQcDmH93a77BgUyzOcvXJANGzcqOSVnzpzyoomLyTJDuqF7TsOG7OglmA1Lx2BIWIRei3XrN8qYseOkecsWmojlOuHuIWBLaRFSEB4X1zS7LrgQFy5eVOEdhqEwNcwRUhBWdTahFu7yjp17dIhKRHSMli9t1zyb5ap4royFhUfJ3r37pEuXripxCKN0wMCBcvToUfnwo4/sV/bO1/2Dwu9/iL9/gAweOkxerlRJG2aaNWuuJbPg4HA7c9HcrGwECurWpl3Sz04n6JEjx2TJsuXSu28/qVSlsuTOlUsbkYgDZ8yYpRUb2Giff/6F/apm7/XHn39q0jopKdlcu6MyePAQc/pVlFy5bdetbv36MnL0GKXM01hHjgYATklz0KSd3xeXM/NMwVsgaY2+KaxSPCqa3bhGc+bOlXSzr+523TcofP3117Jz5y5p3LSpFDMnX1XzpkaPHisHDhzSKdG4djwgTj+UixobMyERnb0IOXDwsPYavNq1i7ystNTnFBRoQmIQDrRhTkdrOV+fffa5HD9+QrkuNGIRmubJl09q161rQowBsmLFSvHwPKXVLU3AKShkH2Agp0JfBKXbTSZc79mzt5QqW1ZesiubcWDfbdn6vkCBeCUxMdHEwuPkpZdKSNFixaRN23bKaz971lvjHW5SdkJvGyCkqodw8NBhmTFzprRq3UrLbFwf8ghUFpDrTkxM0hkY1rr1+vLLryQgINCEEzMUTIsVf9FYcQUJyFzLV6ww4dlpbRiiKpGt9ps90YqYzrFjJ8w1ohJRV/IXLKgNcewzvK67EXm9L1CgDEk5CRUYkkEVX35Zp+e6mfiGh4JEiN4guxaAaxt5E1zYC1pTJ2SYNn2aNDbXBhpqvrz5tFGIwbnHj7vL669flj/+cJ0SY0avH374URISEmX79p3Sp3c/KV+uvCYh6b4lz+AYEUAOxyE+4/w+uZhR2TKflwPY1y9AOS3kFiC+FTShFglbhtTeTSXivkDh8uXL6gJzY2iPbtGypSxYuNDEeack2rhzxHnZgahkQ2tbUhE31t3dU2bOnKUdi+jp5c9v4uB69WX2nLkSGhou33zj+mXGjFh//vkf+fDDT3Ss4DATTlSuXEUp4DD64HqsXr1WfOzMWZKP2nHp6iVL83wBChzAYeGR2msyYeJE5b08//zzUrt2Ha1oEebf6bovUIiJidXx2fASKKsNHDRIteTOBYfoA5IdSkXcELQP6Omgfo4MGoBQz4AASTGy5pQbly5fYb4/TTsUrXV/66uvvpZAs8eQmatRw9am/eKLxVWeDGAgdAWck2k0M/fG2X1zOTOeEepWXt6+stqEDK1at9aDmmuD2M3HH39sv3q3X/cECjDrCB3c3Nx08+fKlVtVdyghQcelDHlFsNPFDeBDGSksIlpZd9NM3EszGGUhqMrkDzZv3iIXLl4SK1h4cOvX33/XVu2RI0dJ9eo19AGA6ES7NiK0p894KTck24QR5nNS7ULVCr0F1JloOsOT4uAmhLhTItw9gQINLoGBgdoejboO1Fz6uckEIw8Ot9+mvejKN8QWt9IKTrvzAZKKM2bqtGDAQPUozTVhjPg777ybKSjKvAf67TEy0vAhMP5O0thh/D0zU6ohzLHBmcRMk1jXrt200xIVIrgfHTt11r1ISzlt2EqL5p65ciibfN5WnkxI0s9NJy1JWTx4uDALFixQhuydrHsCBUZWobqjfGvzALxSrZqMHDVKdu7ao0KiNn0AE8u5KCgQMqSkm5DBeAgkVA/ZAaF58xaa/IJA0qZNG43l3n77bftVe/QLsZXIqCjVuwgJCZGIiAg1ThEeMD8/P/3K/7GB6LnIbOu9997XeQe+Pj6aWZ88ZYqMHj1GS3GQnFChosrTrVt3WW5CNg+PU1qV0NK4uWfO7qdLmDmEmcNBGOtrDuZV5togmVe6dCn1oMi5INl2J+uuQQGUZtoTklqgMkjUvFkzRewTJ+lzYEDsJTWnb94FjA1GEhXSzLGjx2Xu3HnSunUbcz1ekudfeEEFTtmw0Ewz03rn3Xc1CbzWvDc0HhHpoHlmyZIlJsTZrEC/ctUq7WHZuHGjeHl562e4Vw79g1h4LCTJPvroI0lNTVeV6AULFsqwYcOMJ9ZR26wXm/e/des2pdkj7JMz5/NKdqJOv3r1Gjl7xtvE20kK5s7up6sYuS28IUJZt30HlFX8yivVtPOU8H7Lli13FELcNShQV/f29pbOJnaj+YKOSBCJmXf+Aed0BBkX35VvALEbMxZg0zE0pWPHTqp/QFMT7c8Ia0LVzWwuOLMHYU7y8NNiS6MRFRL0/bzMPcWDcNu7VxV80FuEfwI4pKbemdv5oBehzBtvvGFOew9Zv369JnB79+4jjRo1lsqVK0nVqlWUwEQu5/z5C7ovhw0bLpUqV9EEG7RoYustm7eZ0zNA4uIT1btzdk9dwRzPHSEtw3porGvZsoW94a64ivampqbelsx016DAfHxOwTp1apsYLr/W3ul7P3T4iE570oqDqwKC5knodkw0G9BXabZ9+/XXNt9cuV6QunXqasMOIhdQdTPj+uabb+Wkh6fKvNGqjfjnihUr5L3331fRlrT0dO07IF8EYOB27ty1Wz786OOH1pNBeEplC10A9hrt+EjXk6ehogOr8fnnc2rZbc7sOZKYkCj//vXf6lGEhIaazT9BypYpq8nHauaEZB7Fbre9mvuhu1LDWu6ls3uclc0OCpQnA4NCdOBSnz59zXUrp4lvqjNMZbtdefKuQSE+Pt7EcKNN/FbBIFBRadGihSxevER8fP0kDhfN/uacvumsbslkeNOVvszotVFjxkhNc9qSQwAYxo4ZqyzFzLx+/vkXnb1A+Zj3DFcez4FTmcUpkpSUKnPmzFPpdh48ZnUQl2c0HRvP6huzYclxoPxN1pxKDl4YqsX/+7//K3/729/UqMHTgHdg/3758vPP7b/BvP/ffpPTp88YT/ZVfRAYZNOiVSsdUnPipIeNDo234MKgQKIfZaZjx91l/ISJJnSort4CnAXyLDAcb7XuGhSoOtD2Sz4Bgz1Fn3ukia9tzU9O3myWNxvIgcCUW0+ZsMHmmrWUF81pC8W7e/eeKh8GJTczL/IDwcEhMmjwEH3Y2DDbtm27zqV874OPZNXqteoFIpE2bMRICQ6LkJ8zOLdAVSs6KkpWr1ptTrh+UssALm4v7eX/7//9vyuAwJ9RGRpkgC0wIOAvHszly28qXwHdx0KFC0u58uWlZ69eGuIGBAQp++9qEtwFDzDz2RITU1SUhlFzDRpQhSgq5cpV0Fzga6/dWsHrjkGBC4/O3p49e9Q7IGaDe07m98QJD31gNAHnipRmu+dDuSfQXOgNGzZpGaxUqZJSwoBCixYtVUTzjTfeFKTQM/PiwUPncdAgQKGMCrsACtdy4183nwMJcZSC0TRgiMtb77yrkvAZuch5XDh/Xk4cPyHzFyyUrt26K3WeJrL/d42XAEhQ+iUXQiXixvXjjwZcYuK0IlSjRk3dq1WrVLEJCO8/qMw/GwWf++uCoGBM6fbmGmzfsVP3asmSpaVEiZI6uYvc0a0Gx9wxKJBgDAsL06w1CSouNDEniTYSjLwJ5Zy7YOhgm1x0QULNablz527p33+gCo7innIN5s2bL9HRMVdc8My8HKBAOzLNWRUrvqyCHMyE4P8+/fQz8fXzk8lTp0m7Dh0UPHx9/K7bQPz53//+Tb8fz8PBa7jZJrubxa/44MOPjNd1WIYMHSpVDGjlzZdXnnji8SugQBkc7UpCh3duUvKF9XjmjJdOsyJvwjQlAGLK5KnaOAQVWkvnrlimNM9g6vlLys8gf0SOhaQrpUkmhVFpovfmZk1SdwwKzHNAg7Fvnz5Sxrid3BgEN7eb0AGRB0DBVnFwLVDgM6VfvKz1X2YSjDabDIEUh+Q6ZZ/Q0DAdkpIVlgMUSCQCCngLY8aMES8vL23jRmmZiVKTJk3WXo3jJzzlw48+tf+0bRFqXL78hn4/B0VycrJ8/PEnt81q38n6jwEFJlfhnZAkJFkI+GKoCv3973/XihcVEiopNyuXAlCEciTWunfvrv055H7QfVy4cLEEnQvVsnnahded3vesbQYUzGej/4PZG4S6cIry589ngLG6TJkyRaJMmHaz+3XHoACRhUGWcBLy58unLEZOG6YYMXacur0rgoJD7gvl3LXrNmgfA+pSxLro4h04cDDT5xGuXVdBYZgCAobyExUIpktBGx4yZIhMM54CEuKffPKFnt7XLtz8UAMIq1auUn7K+vUbDDiEqxDr/Szk2FLN4bLOXGdCVKoMgEK9evVUsbh8+QrajUtIQ82dg+p2ixNx1arVqlvI76J60atXHx2dHxkdLyncY5cj2RkPyJjSnk2oBM2+Xbv2ylegR6RPn95KVPvjj/sEBRoq1q5dK9WqVtXyG0moefMWqCqxS2ow2sMgSliwNPfu3S8jRozUjZk/f0Fp1KiJJrOSk1N1BFtWWQ5QYKwb3YUvv1xJPQUqEHPmzFEmZvPmzXVW4anTp+Xbb7+1/+TVRehAuLTInLiUZAcNHioHDx26o4f0ZuvnX36TOHOtlyxdoQlCkth4o1QYoOjivfTt209Zi5TWGJF2J0QcxuQFBQXrlKqKFSspKAAyCN+4n7SJs1yRc7Pfc1cwTfgnp2uYdOTocQV7Wy9EHr2m7u7uN/Wy7ggUSJ6lpZ/XMhWuG6QltPPQ5A8JizQPhguWeOwbJMqcJpCUyBsws5HSDsCAl8Sw1u++ezCTfh/WcoAC79+RaIQLQCkVBWB4CZzEzZo3Mw/oUrOxkuWnX64fQ6YtzB9/qlOpGfnWtXsP2bFzl8bx97J+++MP8zqpMtccMpWrVJWnc+TQHEDDRo20449ReG+++bZ6JGxoZlVC2b6TcIX3+sEHH2r3LqclrFMSxN26dZN15vf5+QXaqhF6z12Mhasl9DTx9g3Q4TqUmPGW6tevLzt27FTuyX+I125YdwQKuMfe5gEYOXK0FC1a3MR3RbSkdeyEu06QRoPepUDBAALJRfIIAYEhsnnLNnNK9VfqLKDAacog1bfeyjx9DXe6AAVKkngKgAL0V7pdSZIydQpvEFcbzjwguHrNWnnb/PuN67c/RfxNCDHSeBk9evWWnbvc7gkUfv7lV3NSJ+t0bDYtU7Qf+9e/dOMCSskpKfbvFJ2WzVi5U6dO2//lzta///2rKoRBR+c1ihQprJ4uCTjCCGYz6j13taSjAQUG03Jwb9uxQ0MwOpqrVq2mrNvYuHizH/7qLdwWFDgF33jzTUUW+Al58uQz8XRJdcegjjIUVUHBvLjTN5YFjdxI6oXXJSY+SY4eddfPWr9+Q3Vpcbep9dIw9LAYfg9y4TLiKQwaNFgTjZCTKEmiAkU2GjYmD14Vc2LzeV/t0kW8vX3+kqn+9x//J37nQmSEAYWevfvoYJu7BYVff/tDQwY8BIboFihgGw+A9zJv3jydk3mtN0Bl5Ny5ULl06ZL9X+58AXo0BDGUF9IWrnT7dh1kyeKlGgLHG2+Xe+5sP2RZs4NCdGy8HDt+Qrk0uXPn1fs+ctRI8fQ8pRIIN67bggKbgezywoULlWpKs0nFipV1hDgNQcxD1PjFlXIK9s9yLjhcOQm0QBcvVtzmJbRtJ7v3uMnX9xE/P8pF+ZCwhx4CMvKVKr2sEl6//mp7+AC6gMBgGTJ0uMbvnCoTJ07UROI331ytsPzy7z/Exz9IRowafU+g8ONPPxlPLE1zCGgKwlDMly+vei6EB844+gDXN9/YRunfy6JiMn/+QqlVu47K4+H5kVTdf/CQROLxosDtUvvYHHDGGNfoa8Ik5k7i5RcoUFD39M6dO50Oo70jT4HyhaPWWahQYeOGtDWew25NwtkIS65VceAikktwyKpxmj7zzDNaipw5a5YkmPg7o9l9GbFIzF28eNGEPttV8JQ++3r16pqHcL5xr1Pl66+/0Rj8s8+/kuMnPJSjAA+jTes2+j1I9pN4ZE/8ZuIHH797A4WfjMsaG5+gcW494yFQKqSqgGAPgACVPiPWV19/rTqO/foP0Aoa8XXLVi1lzbq15rPQMJV89w1TGnZc0g5Fypt3YnwvP/MwnhvGK2ChYVGyYMFiFaQhgQv5a+XKVU47ee/IU4ABBROKEWdw5ceMGSfHj580saCLdUTqZ7lgNkeS1ne3btsugwcP1YtIjbxly1bi4empmzorJRcdC7cboV2y+UyjYn7jyJEjVSUZQdS4uAQTY/4qf/6HkPFtbYyaNm2aDB82XKZOnaalrZTkFAWOP/78P/H2NaePAYVedwEKvxhPJTk1XVaYDUnegPKurcxYQ/sd8EopeWbEgmBFco1KRvny5eXxxx9XpuP0GTNUJAdymk3b0eznu9zTjufAIRvgMMe/X/v/6EY6/u7sdz1Ic7wOh9z2HbukR49eOkGKA4EKDIfEjeu2oEAMSrda165dzC8rL02bNjWhxBJFXFcEBXgJNP+ccD+prmabNu3l6aef1dMMbykrT36mESY0NFRr1PSwIKaC+fra/k5N31Fe/VUTj+/pdOigwCAVX+FweOvNtzRj/dsfgILxFEbeOSgwXjAl/bw5mdcrD8ExEo6kH9OnGf6S0XmaP00Iglx8WxMGPvHEE1LUhIQoHq8174ncAm3Hup/vZE+bUIOcCIk8L28/Oel5Ru30WR/zfPiK52kvOXHSU2eH8vWk52kd8RYUHGbCFdugXPVMCFkyKGxxPJ/RMQlamhw3boLUrFlDW8/HjRurXtmNB9xtQeGzzz4zp8g2lXEnQdGqVRvjdqxWOWlXAgXH5+AmwXbbvXuP8hJeeaWGPPdcTqV2c3LebTItMy1uvsNuXDf796vr+p/99bf/M3sg2HgaY5QMRNfo99/fnNVJlYFsNxOkCUnIz8BSZNI0I/OSjQfyMBaeL1UjKhG0jlNe5z3MMGHi0WMnJCIy1r4fbl2e1D1vHuTI6Dg5dfqMbDNeJRUU5i4gXjNhwgT1QMjyL122TL9S1oZduGHjJq3codqFV6p6phkMCjTyoYLNFCnYjTzLvXr1Ug2KG/kKtwQF3C3cC2Tcqc0XLfqidOjQWTZu2qzttzxAjhd19oaykvEZcO1A/jMG6Ym3IMnQREJCDjozmfnMJpzyqNYPP/0mZ7wCtIOye4+esmvXHvn2W+dkIuoW5y++pi32VapW1VAMPcUGDRqqyhM8hIfZN8JrMeIfoSDA6eWXK2o1hhCKU5xko6oYOdknDmO/8H0Rxqs8dfqsbN2yVWaYMAyeBzkoWgHatm2rLjp6kSgqc8j07NnLhOKDdBTC0WPHVUOSfI6OQ3DyOvdrjucTgRlUrucZ77d+vYZSoEAhvf47duzQg//aA+GWoEBsx5z7vn37GDcvl0HVAtKlaw/jKu7R+EsFWu0v6uwNZSXjM9DQFRUTry3QDG2hNEY+oXHjRqq36Izdl90WoPjFF19KeGS0LFi0VNq2a6cCoQjtIN92o5T4Tz//aq7veVmxao1+35NPPqGxPD0Iy5Ytl5SUlL+UOx/GQtEJBmflSpX0HsOiJFw8Y8LiOOPW01B0qxCC/QIoILgTHBKuA37wCBhMgwLXM888rb+Tdm3KgeSnAAZAgdwUGpJ4D3gZnOIZ1V3seD4ZueDvHyjLDUA1bNhEcuR4Vlv+Sewyv+Xae3BLUCBbffr0aaW9PvbYYwZVi8ngIUPl8JGjqrLkAIW7TcpkOrNfOGihIaHhSlZCYo1KCwzOUaNGauwN8Se7L9itb7zxltKaJ02epDqIXbt1014KmJHXKgb/8stvqtk5Z+58qV23joYLuOsAAidlqvneRwEILE7Hw4ePqLfAfS5duqx+Bnp5oD5fbfBzsl8cZkABxiAGMKBQNXTYCHOYVNffScvy8RMnJdo89HQS796zVzkvkMPIo/Tv38/82x71FujYvO3r3Yvp3r6grQiEK5vog2jf0YAW6lXPa7IZYte1uZxbggLttPv27VPaKy5frVq1zQ2eJ56nTuuFu1q+ydqgYJuKfV7jO5JuxIbctFy5c0uTJk3lwEFyCV9ZoYNZVB6QdEOoIzo6Wj1JOiX5mpSUdIUM89vvfyqpbcGiJSrk8vTTTysg1KxRQ4lJgMe/f/tNv/dRLEIIcgvkOAiNkRaEus+w5GBCCPOga53fyX651vj/tPOva3Z///5D6mHWq9fAnMIlDWD201A0zYSleANIryM627ZNG3sPRwfZYsIOvO6MBAW+AgqOCVKjRo/RfAreDIREDrxrw7dbggKuIMKdlG+ez/m8np7kE5BeozNSZa30xbM+KLAJtOpwwl0TRfDjX8iVS/r07SexcXH2K2KtO1kkFVNMyLBs+UpNauXI8ZQ89dRTCrS4q7GxsbdJaj6cxenIROv69RuocAvvlfjfy8vX3PMkGyPQyX651niQAQUGvO7bd/AKKJQoUdqE3QPE28dfLl66rO47oDDHACL9G+RW4IqgzxEeEa2g4ChjXst5uG9Og/3nUGJCHe2kxylN7EL3hj2KetjZs2eu84JvCQrvvfeeifuWaZs0RA8UgPkQgUHBEh+faE4Cg6Y3voksaFxwJkXTHr1t+w7NypIIoykHReM7HaJhLUqZfxgPMlWWG0BAX5Gyo4O6PHPmTPUmHoTuwoNYvA/Yne3bd1CmLqHihAkTTXh8TA+IO5lgfXNQKCW9eveVU6e9zHOSrqf0vv0HTMg12bjv7aSlCSHQvjx2zIQXMfGaz7r+tR5UmdL8Xr4mpRowjlcqAa3kcES4L7CUjx49ep0eyC1BAbYTyRgSMS/kekGVYRlJRWySwKxI82Gdv5GsZLYEY0JisvGA/DU84sSAl6CNIyb2vZ2mnbUoWIp8/8NPZgOmy+p166VZ8+YKrPny59fwk34KAAGadWZZvJewsFCdIUHSjbZqhIM2GG84NMyEQ+bQYx7lrTzhq6AQbweFccrMJHxgahr6pXTZHjhwSL0QyGLMqphoAGHb9l2quuxgBscbbzXCgEuAOXThPcB38A8M1rInnIYEPYQBilsDlTNDfo4KBFQCVMgBbAbncG/27t17XRv6LUHh9ddfV967g4aKhv6hI0dtZRSNuTKmjPJwDZUaSjYJKl01fPhI7R4sVrS4JopIBN1O/dZatlxDvAFWqMu0POc3DxiiHoziJ46ON9c3sy3Ch5RUNBzgTjTVngAk2+abgyAgMMjs71R16+8WFJgwXqx4cSX6wRaFIj569FhtVweAAMg9e/ZqBy6VDn5PPJ5qaIQmJulMhU8wZco0/bO7u4eERUQa0LCPv7snUEjXvAJe/pat26VZ02ZK3iI1gJbGtZW1W4ICcleDBw/WeDB3rtw6aMPdPDjRcQmaRHKFdmm9qRde0xzJgYMHlYhDPEiX4NRp0yTgXLB8/e139itirZutTz75VBurSCqy2chs46ICCDQ3PUwewp0uKh/vf/iRVhwYKoPLX6lSFePiT9HhtYRBWpq8C1AYY0ChTr16UqRoUe0vGDNmrGp6NmjQ2Py9sQwwr8N18jJuPOxJzSOcf01L4TAeoWCjUs1JTqNYz169tXTLwFzHlCvM2Xu5pdHFbJ5ZBtBSBWndqrWWhuFpoLp17YjAW4ICpQrIGEhqkzlGBPPMGW/lh9tmRTp58SxmXODzFy9rNYVaMhnokiXLSIOGjWTDxo3y5tvvyG+/Z70W6Ye5EDzZu3eftGvbTuNUDhGqDEuWLFFAyGjq8v0sZVrGx5uTebpqbtI5OXTocJ2ZkGRcbg6MW5XcbwQFm6dQV0EB3Q0qWUwib9a8pTloqum80WnTp2s5VLuMTThA6EBJkxCDuQzMVWnfob0mAynfAlhbzekeEhalrwmQ3Pg+7sTQbSR/gYYEbeOAAr0n5HqubaG+KSgQb8H6ggL6r3/9S5ONiHn6+PgrGNyO8ZVVjJuKMCs3Bf49+QQ+a6vWrbR5iGlF1rr5YjNBCaf2jlowcTmn3OLFi5WYlBXW2++8owBGkxD3nrzC1u07VJGJB/6OQWG/AYVxJBrrqRYFCWs4PTAXJ0+ZquEEKuBNzFceRLxuPAS6ctl/jEpw27tfy6LLzemNYjW/izmlVAzINUCYuicxGN7nhdcNACZrIpVBOxQPAHG4CuTNHCV3p6CAW/XRRx9qrIH4BQkjMqrz5i8Qv4AgvRCpXCxnL56FzMZPQJr+kpwy7tngIUPMzSyuN7RL1y5y0sPjvsVIXXlBACJJxYnIHgEQ6tatIygtKw8hE4YMztaHZq+v37BBGZfkFZAImDNvvoRSKkzFI74JKOApc0Ca/YN6E0n40SZcwO2HB4AgrofnKfPAh8rOXbs0n0CHYnGzx/BIV62xtWxzelPtABiCgkK0CkafAnMtoEoDUtDBSfDzunRZ/uW93IGlmcOP3MUJdw9VUYMrweeFq+Dt5XXlAHQKCiAGAzvnL1hgXJhagsBn585dZeWqNRpjuxIo0IwSF59iXKrD0r59RyWxIPBJljggIMBiMd5kMQWaEfydOnU2J84LGjKQyaYtmwEtmTlkuHGh6LR//36ddobc4IsvltDuTy/fAElItJGYnO0fYnSaAm2MxjDVqRw4aLCGIJRiETLBS2CEG+pVa9aulc6vdtaZmCh4QXmmO/P0aS8JC4+WmLhELY2TrwMcyCX069dfxwrgPURGx+qzZ6uIOHk/tzFAgffrefqMzJgxS5o0aaYKVK0NqOPtffzJJ3o9nIICNxQhTzKn3GhiLTQKUSEKCg61g0IWDx+4uNA/jevG3Aqozc2atZLChUkQNbZnzOOzzGn3MBcDSg8ePGgeoi7C6DmGvTItjLicPFRmICbdzUKFmocWVeuXX65sQKGkEo+OHbdxCJTOr/vmmofR7B80PHmQQ0Nx/U+qRH7Xrt31EGWADZPDNmzYKD7evjqu7ri7+Z5lfE9X9UbovEX5CVVwlKVpwdaqnjEfHxuzdtLEyTp9jLZuwhn2LM/fdXv5Do3wAVA4fdZbQ+V27TqocBDlY+jP7773nl4Pp6AAqQO1pXHjbU1B1OsHDxoimzdvlXMGEV0BFBRxjVH/DQg6JytWrFL3sVix4sYdbqtMTuKsrHTiPYz1+eefy/Hjx3XmhZZuixXTPTJ16lT1EDJKICUjF/JukZGRMsu465Qk4SxQjqYdnFKgs8Y//gwoEDacNO44fR80hdHo1LxFC20Pp6+CXgeeG6oHgedCtOTIaASIgIRdPXr2EEbE007t5e2vngJJ76NHj2nIsMp452e8vCU23ngRyXYp+nsoSWIKCslp2vS1ZMkyefVVNFIqaA4IQhNarCynoECS8dy5czpFCEQjhBgxYpRs375LgkMj9YK4CiiAvihV4xmQZGSTdzQu8UHjGn/2+RePrGEnM65PP/1Ujh2zJako2xYqVFTbb8khQF3OqteKQ/DS65dlxcrVugfIK3Xo0F62bt2m4+sdzEbs2v1D0o9EIf0NtI7zAC9btkJ/DwN6l5uDhq+Ai6/xFKJiE1QW7YS7p2zbttN8/1qlguMp7N130E5kStaE4h63vcZ73WJTTI8lGZmiVAAe6vsFBajXaKIQvqCmpg1qJuxDGoDlFBRwmVG+JfvJHD6SjSi27NmzT0JN7MMFudeySGYxvcnmK8MyTnkSY83UE4+6bbduPVUr/9+/W4DgWNSxKaNxwuEh5M9fyLi/9YRZIAikZHWP6vOvvpVt23crG5E9gDIUnAF//yB16W8EBYcBDHHmdI+OTdKJU1QhUDmKjkk0J36C/p0QA7YiOQhIRGh2xJjvjzLfx//r95i/sxehQwMEmw0g7drjZgDHWxOPTJDG04g1oOHs2bvZ+7vWOMgTzOv7+Z+Tdes3aqkT7QdKn8yIdVSLbgoKzBakLZZYkQs1YcIkcdt7QBMivHjWB4VLmmjkBh49clynZ8PugtKN0jGsTWvZlsNDYBORJGO4MB2zKAkhocbEqKy+fjGfAZ4Ang89L7aZk4tssoMk/27y0PFvPGzpF9+QC6+9KRdfe+s6u3DpTS1524YU8zsuaQnz/KU3zP/bvv/CxTd1zBu5LRKTq1avkbnm2qKYvmHjZtmyxQCE8UToTo42wMHrOd4LoKRiR+bP1/dP8PX693stKPB7YSgDCpRiCf/Qx2TdFBTOnj1r3IueWrbAU6BRxI0Yy5VAwXwO4jemB+ESEzoACgMGDFB32Fq2siNJReY/kJSiXEu8vGgRmopJ9u/K+gtPB+BDdpDyKrE2OQL3kx5axrM90H8Fhb8Y33PFnPz/tWa+x0YCPK+dkoj7MNSXvdiyRUslOlEZIE+BQMtx40Ewi4QwQN9Lio2+jAp1RESMJkVhYKZffN08n+b93vB614LC+vWbFORJDyCrzywTx/10CgpotjFrjkQJp2f9BvW1u2vfvv365l0CFMz758JFRsfI+g3rzQ1opj0egAIZ4YySGc9KC4UlSnXU1PEOChdGwquBtj/jamam5qb7XYDCyZMnNWyA1MM+6Nu3r3lQj5gHL8X2kPEAO9lL9248R7aEJbM2Nm3eKkOGDlN6OB2bADCDa/BapkydpslKcgJXQeG8li9tLf8eBtROSKjxcBOSUrQPha80Qun3me8HFAAR9RQ24CkMMqBQVVMEsCgdB6FTUKA2j7gKiktozTVq3Eimm5ibC8QbcB1QuGQ8hRjjrq02IVJdne2A60iClUx6dltUEr//8Uf5xHgHqWnp6k6TQ4DgAh0WGXYSsriZrgQILEDBw8ND9QXo2+CAoHSIl5ScansQ4eawZx6kaSiQfkGrGFQmmGxOfmvM2LHKleFh5e979rhpeMGzx3vhZ/EEEHAJDYvUn5s6dbqsXLVa7xvJ8wgAIiFZQYHwJB0wMT9DjgI9ymGqEvWKeoDkD1H6ZjkFBVh8DAyBYoloKVpztBTDByfb6gqgYLspFzV3AKWUrDOgwAkxbFj2AgXIap8aIIiOiRUPE7eS4Jpp3FXotZxUEHHYPFOnTdccgqsupAcdoIC3gN4i08YpWyv71ZjG8A/UbHmB+CSSlfHqiaPEdK2RfIQARZiA+68JS2NwDhCz4SGn0tGlazelm1Munj9/gQIJupn8DpKYAAI/H2L+7rZ3nzZrwUOC2g3nBLIe66agwHxB7QNQUGiuiQ+H3hygcK9Uy8xiIDRfkXOfb04/yq60h9uUm8deSbpkh/X2228rpZ2O2DZt25pwsYGeHjwcACVy4Li1p86clW9cuGOU8faoIgEIz5u90LptO9mwcYu2OIeERqoFh0RkjIVG6O/n1McjABzCI2LUyOOFOnntcyHh5mcilNi0acs2VdVm/xYuXEQPdHJjCww47NyxQ+nWVC94HT//IO2UdIAClOxXX+18e1DAUyCWARSauCQovG7QNl18fAN0NBxlmcJFCkttA4So7GbloS93unCZ33vvfXOvd2ibLx4BY+Aff+wx+d///V/529/+ptqcyJUtXLRY24lj4xKU7ZqY5DqG94PeA0OUHYK9OZ/PKXXNgzV9xiydqE05Htu9e2/GmP3373HbL25OjH/ne3iYr/7MXuUzIBjLWH0o0UWLFtPJ3TQ6vfTSi1LL7OuOHTpodQ2RF76fNACyisOHEz5U09wF3dAWKAAKxpXy8vaVaVOnKSiULF1K2rRrL5u3bJV33vnr+HVXW7AP/fwD9IRhEwEC//znP3VT/fd//5f+HcFVTh3a5hkdN2nyVJmsNsV1bMpUmThpsrZMN2vWXIoUKaoeEqcuUm3oiPAAjRgxQjsKM8b43Xdif/1Z3hdK1O3bt1evDiAH1DEHQMAtYSboqFGjNFHMTFRK75CXihcvboECdi0oTDWbomatWlKmbFllM6LTiD6lqy8Syu4nT5r720z+53/+R0GAxiY2FX//r//6L304yIQTSrIfCLNq1DDGVxcxPhNlObLwJUuW0CTjE0/kMA/T8+aBeUn/nf/H1eZr5rPqyjfgAScUAMi5l9fa0zmeVo+gbp26mj/o07evMDqvbNlyUrzYi/pvgYEWKNhBwccJKOzMNqBwwt1dJdNsIPA3zaugbMzf//73f+hG4qGBwFbPhBH6tR5fXcjM5wL0IPFAziKMevLJHPJ8zlzm5C1jgKOG/j9GE1Nmsjp1MPO+atXWHiWShs5AQXNDJUtpnwP8o/4DBqgXRO7IAgW7OQsfSpQqKa1ohjLx1ttvv2O/Gq67CB8Cg4Kkd5++ejo+/vhjmmR74fnn1VugOQx+PJUntBcXLVmqYh8uZ+azLVi4SAl6zEolLsfl5hTt1r2Hqi4jMIQhuJqZjHEEvC+GH1MtoRUaOTzU0ggFuY+oplWuXEW6dukqU6ZM0U7NefPnaw4CxrIVPthNiRwp6eLrF6hsMUChYKGCUt2cFgwruXDhryO6XW1RikRbcf+BA8aVbGu8guKSP38+KVSwoJLWmMZ89NgxOX/hglx+4w1jb8rly+arq5n5bJdee03c3PYqUQuuSk4DjEjyMd1q3/7DcujQUbWDB49kKjt06IhKx2/ctEX69R+gJDOU0gB37mGzpk2lb58+yjPaZL6H74dagFTAyJGj7i7RmB1KkvSmU+Mlsw6Xn4E3xGQQRlyJwnu7hWDK4cOHVT24d59+6lrS+ejj4y2ffPqp/btcf505c0br/IRQjDRo256k83Yt4yG9HhEZd6VMmBksLCJap2T7+QcqKHTthpZDGQ0T4FtQcVi9arUBj4NattRSZ2SMBASFCJ2blCQJmRwlSX9/f70ONwUFptFCt7SRl5pqN5zrkZcumYsaLStW2iYZEXcx7zC7MRoRRWEYyOuX3zabJtY8ANHy1ttvK909qwmm3M+Cp3CFvJQ7l3lQuii1X4WKzV558DTn+zPC31RzsCHjRgt2jx699D3jAaxevUaOHDlqTv8gYTIUsyVomIL0BHmJ0iSgQfKUZxz2ZmBgoF4Hp6BAAuqAcSm5QCAPNWwolAcOHlZkcgVQwNPhM0BzXr2GiTn1NI50gEJ27X34/Y//ZEv16htpziQbu3XrpoN0bTTn1zQP5ThMMoPZaM627ko8BcRbUCRnNFxg0Dmzt2MFHQa+D0BIv3BZ/wxhb+u2HVrGJHwgzIDoxExQllNQ4ITgApGRpFuMLsnxEyYqgcJluiT1wtIQFatS7q1atdSNYDVEZc/1pwEFmgBpiCLpSmxOFyFqzBnXEHWfZk59GqLo9D116qyaLbw/L6g0YY6GKL7/2oao9RvokhyoDVF0So4dO1bi7DNTnYKCo3UaiWqbMstVUHAdkZWrrdNwxFHeJeECKJBgi4mJsV8Na2WHhafATEXawmmdRliVrD6n7l21Tj9k4yEnNIiOjhempvNcpmm+7K/vFVBw1jpNCEFV4pat0w6RFR6UG0VWXE15CZGVY0dPaO88XhGgwJQoOOjZJ5q21s+//Cb79x/U1nCqD+TTFi9eoiXrW4msPGojR2DrgjQPvXkmr75HWwPXtd97LSjcKLIybdq024usMAiGE/OKHNvY8cq9DrW3b7oKKNA9dtq4XbNmzVJ2GG5j16495IyXr/z8a+aYjmytjF0kUz/5/CvZsnWHOQDr6R4gnKSfICDgnInLby7HlpXMAQq+fkGybp2tVwJPoVatWjqc5pZybPTKBwcHK6/a5l7UkOHDRqjYJOUZLg4v4OyFs4o5bjJCmT6+fkpigZdRvHgx6dCxkw72+OjjTyzh1myw2O/nL1yUpcuWK0uQMLJjx45Kd9cBLE7UnLOiOYRbUY1Gvbx79x6aHgAIUdK6eNHGzXEKCqjbRkfHKMPrlVdsEu+DBg52TYn3pBQJPBesSrzMe4DF16p1G4Ok68xFuqCxprVce/3ww48SHhYuM2Yy54S6fQnp1q2HORgOCHobrgYKKvG+eKl07vyqhszkUVavWSNvvvWWXg+noMCDQDvpjJmzNN4g6dKnTz9Zv36jSw6DiYiMka3GC2revLUUKlREufCMCyfZSChlLddeX331tZw5c1a7DStUeNl4CiWlX/9BKsVOzsnpMJgsaAoKJhRiGMz8+Qulbdv2SuVmTsWWrVvlvfff1+vhFBSgv+JK4FLTDEM7ZocOnVXdBU16Gyi4yNi45PMmhEiVg4ePSsdOr+rYuHLlKihXwc/Pzxoblw3WJ598Im573FRLgQlheAqjxowTH5V3R+nI+f7JaqazJA0ooK41bdoM9YxpoEJYh5mgqHaznIICiRdUfHfvtung58qV24BDbZk9Z56g2uJKoMDw0NT01+Sst6+MGDlS2V3Fi7+oorXUrX/+yRow6+qLUfpr167VikPBgoXUO164aImyO1PT8IiztoegZrxix4BZxtehEQExMW/efKrDCZsRVivLKSiw8BaCgoJ0Hh5CDcVNrE2OwdvbzzxI57N++GA3AO68uViUIJcuXa7sTYChRcsWJqbcp3MGreW6i7Iz49JQ26JejyYlg2Z37t6jSWhcbpVrd7J3spSZz8BniY1LUil5ZOMR44XFi/DKW2+9dSWpflNQYFG3hOr597//Xdl+cKqRmUbIEtqkK7hVgAI6+ZCYduzYpVOUS5Yso3mF1eb0uPT66/KriykXW+vq+v7Hn4xHEKUjDJg2jjEikXHtSSqnbg4/VwAF86xCI2Cf79t/UNq1bS+PP/64Nn/NmTNHvvzyS/sVuQ0oMFuOmfqINuQ2IQRcaS5WVGy8uWCQJpy8eBYzQCHtwiWJMZ+J+ZEkVF96qbQwfVg9I18/+fLrr+1XxFqutDgZ33nvfdl34IAS1hhBX6lSVZ2xcNbLWxKTU41HDB/HBUBBn9fzEhoeKbuMF9SqZWvVXWAA0qpVq3SSuGPdEhQuX74sTI7BSwBRoEUePHxEkJyG5eXgVGdtI6cAXyFRFW9HjRqjGVkUcemt37Z9u7z7ruvrNWbHRZUtMSlR28RRYMqfv4DUrl1HRVdoKEpKoTsSQMj6oAAdOoEJ64HnVEuBzmcEWJgAh3bKd99dVem+JSgg/Y3gCAM3EW1A6BG9eCbxMmQiOSXd6RvIakYolJCYLL5+AaqtQF6B5CoXDJHLS3ZSh7Vca0FaCgkJloEDB6raEklGWoi3bNuuB19Sio3J6GzPZCXTcqoJheLiEsXH11+ZmsiyEQEgLsTgp++//95+VW4DCu+//76sWLFCE2+AQvfu3TXuBm3i4hMMKDAW+69vIqsZNx7PBw19XCvo3QUK5Jd8+fOrinFqWpr9iljLlRaegre3j7Rp01Z1KWkhRrFadUNM7O0YQe9sz2Qdu2gDhaRUiYmJ0ynWK1euUhYjSUYOwOPHj8mPP/5ovyq3AQXqt1u2bNETM+dzOaVdu/aKMoykIgbHJXG88F/fTNYxLU2azxIVFScnT3poc0jZsmXkBQOEPXr2kojISPsVsZYrLaZlMwOhTp16kjPn89oMtWbNWvHx8ddpTMThNtJSFjY7qBE6ICjEwFymR9HnAygw/Mbb2+s6Ps4tQeGrr75SKSdcjCcef0JHh8FyPOnhaZA01qVAgb70eLMRmIOwfPkKbQLLlTu3DkJBherjjz+2KM8utNAMIZE+e84cKV26rOTPX1Bpv7uNpxgSEq7uNol0VwIFkoz09AwdNlybvp555mnlKCCuci1z95agAJmBFmrQhPJFwYKFpf+AQZqlB3WS7JzwLF+yMe9fP4cBOebuoUrTpUs3jTNhfA0cOEDZjcjUWcs1Fl7wnj17dF4mrdLly1eUkSNHm9DhhI50T0mzhZVO90tWMt3bNlAgF7hh4yZpbcKlHDme0bwZHAWoB9ceeLcEBdAjKipKBg0aqMynfPkKyqtdusuOnbtM/B2ungIXzhUuHp+BhCPKNUeOnhCmINFSWqRIYRN/1ZXNmzer52Qt11jQ+KdOnaoNQYA/4LBkyTLx8vFT1p+tFOl8r2QlczyfELH8/AJk6bIV0qBhY+Ml5JQyZcrKwoULryMusW4JCrAaX3/9dVmwYL7qKjAtp337TrJhwyYJDAp2PVBIv6QbwsvbT9auXaeZaPo+qOUi0ZaYmKgdpNbK2uunn37W3BF6jHgJyAMwkm3XbjcVQUW4JCXddRi7GLohZ854ydy5tvIrjX/NmjUTNze364hLrFuCAosfoAeiRYvmypVu2bK19mJT2qDjypVAAQPokH13UwnsccZbQOX5WQXFbdu2y+eff2G/MtbKiosTkeHBzJBEpDef8YAJjxl4wwiDyKg4+35wLU8hxnjA7ic9VYAZzQi8hH79+qms+42dwLcFBX6Auf3du3ez9143kfnzF2lpg7Zjx4s6e0NZzvgs5ivlKJKpkFjoDn322edU4XfEiJGSZpUns/T67bffxcvLW5o3b6F5sheLF9cR/Bs3bVKeShz8G/azi+xpx/NJC/jhI8f0oKPHA+9owoQJ6v3eKON/W1AAWVFhGjx4iKq0VKpUWYYNGylHTdztKjJVV0w/ywWtQhAe7dy527iVIzV8gBIKIB4+fES+/fb762Iwa2WN9fvvf+g4wCVLl0np0rbxatWrv6IViCNHj6ugCurHrggKeEBbtm7XuRDMy6SiCDHxtddes1+dq+uOQAGxEZRt0YhHb6BJk2b6AtRykynbuMgFdBhgFxObKJ6nzpoYbJ5eQDrKSpcurarW4RGR8pOls5Dl1mcm9IOYxHzIfHnzqmpzu3btVOLfP/Cc5pOultldw2zl9gsSEhops2fP00OdPEqTJk2UkwFr+cZ1W1DAtUhNTZWlS5bqL4LkUa5cRaUDh4GsiQZZeQMu0Qdx1YgpQ8IiZcuWbcrkZHAndO9mzZobQNz2l+SMtTL/unDxokyfPlNHt9PnULVKVS3JHT56TKLiEm1ixK60j81nARAoRzI2buiQEeZzF9JcCkl0SrJoSdy47ggU3n7nHR2+yQjrfPkKGHf6pSsdhGjNQ/zRLixnbywLGp5PKr3nJr50dz8lM2fN1iG7KPKUK1fexGVjJC42Tqc2WysrLNtYvJMnT2prPPeRRFuXV7vKypWrhVmMCWYPc8+d7YcsazAyjUXFxOlQG7g3uXLl1c8+btw4Oevl5bTMfltQYH39zbc6k27s2HGqSlSoECSmgSYOMwgbHWcDBRdoo77WHKdG0Lkw2bFztwwaPEQqVa4sRQoXkebNmmnJ8uLFS1ZuIQssKLwREREyZcpUDYGLFi2i3H9apA8fOW7i7Vj7PXeNMuQV46A24VBwaLhs3rJVk6tMv8JTYhx9UnKKOdj+qkF6R6Dw+x9/yMVLrylnmiQFrdQ0kTDamhfkhV0NFByVCLK2Z876yGITPrVq3VrpoaVLl1HdBU/P0yr6+Z//WGNjMuuCqUdykR4eVMRIGtPX0qd3H20hDgwMVtEgxz3/yz7IymZAITEpVc56+8k8e78DjY00Qe3e4yaffvb5XyoPrDsCBRaijuvXr9dyBr+YF5g5c7aKUcCWcrWcgmOD2BpJYuXw4aMyfvwEVbaG3UkTzeLFS7Xz7JdfrDAisy5A28vLR8eu4zbnz59fJc0RJT592lvr98ieX3vPXcE0z2cOaz7fwUNHZMiQoSZseulKctXDw/Om4e8dgwKxB4qvrVu3koIFC+jADFqMDx06bE5TE0KkmvhFL6proS0Xl1AiNCJKk44tW7ZSwRnGy1He2bFjp3z88Sf2q2StzLbS0s7LggWLFAjgmpAsHjhwkBw9dkJi4pi9aParqx1o5hnUsfNJaRIaFm4O8w3SqlUrBYSSJUvIgAH9JSAg8Kbs3DsGBZRZIDENGTJYKlQobx6KQtK2bVvzoGxV0VMaSFS30dVAwXym9IuXzZ/PG6/IR6ZMnqLDcfLmzauhFFLw9ORbfRGZa0HR/+CDD3V4cPv2HTRswEugekRykT2L+LAKszq571nazJ5lriQekK+fv8ybN1/7eNAIqVOnto6Ii42NvWnX7x2DAq2msJ8WL16sUthc5Ab1G8jChYvNCwdeBQUFBidvNAsbCShITZBbGEJKN13lylW0tFOnTh2lzJ47F2zNiMgkizj5008/kyNHjukQVcfg4IYNGsrcOfPEw/O0fUIzxB7XoDNfZ4DCefp4UuT4CXcZPXqMDoouXry4dOrUSXbt2qn8hJslye8YFPgF3377rbnQR6RNmzZStGhxqVihogwbNkLZYEp5hsjk7E1mebMBXXxisgQHh8q2bTukb99+Ur58OaXJNmzYSJYvXynp6RecZnOt9XDXd999r/dp/PiJSuctVqyonpTkhAAKbft35BFczLN1GIc0VRWqDrYybEkpUaKUNvaFh4fd8gC7Y1BwLCjPPXv20hehPMkLbt68xUYRBRicvMGsb7aNA9sNnTsSV8uWrzBuaXspUbKkiVOLSrt2HQwC75HPPvvcfqWs9ajWhQuXZIHxYOvUqWtc5gLycqWXpf+AATowNuhciK3acCWP4IKgYD4bGqr0chA6MNCJyVeMxENV7I03LtuvlPN116BACDFx4iR1R1A8pv1ywYKFWoWgPVNBwQVDCDUt8aRLWHiUHDhwSCZOmiwNGjaUPHnyajg1eNBgg8IRFnfhES5ISkeOHJVWrVprYq1wkSLSvmNHWbBosXicOqMCKi5ZQsfMc6fJ/pR09YYgLFF1QTGNBGt9E+5Dbf7ggw/sV8v5umtQ4Bdu2rRZ8wqU5ihRIm5KrM3DogjsqqDARjLGlB1//0DZum27DBk6TGNWBykEuTp6RX61BtM+9PXFl1+K56nTMsiAM2LDgEKdunVl6rTpcuDgIQkJi9ASs9N76wpmBwWauvwDzsnGjZukR4+eyqsh/8Xkq1OnTsm3316Vc3e27hoUSDieO3dO+wHIwDNmq2vXbrJu3QZNOLqSxsLNjDAC4Vovbx+DvOv0wjsUfCqbGHbylCkSn5CgEuLWejgLD+HU6dMa2pYyD0Excy8Yjky7+86de7TrVfk0eAlO7qkrGKVznrsY47G7e5zS0IH5DgACHAWUpl577dJttUbvGhTI7L733nsya9YsBQSyuk0aN5bZs+fKsRMnJTrW1liiNGEnb9wVzAZ6FyTKuKInT3rKkiW2Wf8gMt2UVatWFQaMnD9/3n7VrJWRC80P5p6ii0CeCx4JZWP4CJyWqs5sACHFFSsN15hjviuNfLv2uKkHX7VqFS3FIqyya9euO6qQ3TUosBgcwQswUIJYpao5HYcOGybbtu/UN0SpR8uTLkcKsRmgoDx58/nCzOc9ftxd8yrUw0lssSlBaCYZp6enWzmGDFzsxZCQEE2goffx3HPPGnAuJf369df+lLNnvTSPQAuxy/U2XGtmLzI9PTElXbx9/WX5ipXaCUkYBdGQZsaAgAD7Vbv1uidQgB4ZGRkp48ePV7eZ+idlyqVLl4mveUMqVKHxt2uCgs1s4REuKdLZSHnRTo60FzeBmwEwLFmyxHgMF6wcQwasH3/8ST0EulYpOdKXwkCXXr16q2rx6bPeEhkdq+VyvWcuHNKSBE8xX2PjE3UvTpo0SasvhYwnT/MX8yKdCao4W/cECpx8IPTRo8eUPsrJSDUCtt8J84Zo1YRi6fTNu5jZSrDnzeaLkxPunrJg4SJVBsaDsjHomsnixUtMnBcvv/5uzY14UOurb78Tb29f7dyl8zFv3jyqIdqnT1+l9XqbkCEWEaAb7pfLmjmAE3XKWbjscXPT60AoRTGAdgSS3+QD72TdEyg4FuVJSDzox6Pm0rdfXxU3ZTinqjI5e/MuZoQStljuvERExsip02dl0aIl0qJ5CwWGwoUKS40atWT6zFkqSvPNN9/ar5617mXR1PfRR5+Iu+cpGThosDAMuGCBghoykGSk89HPL1AbgTS3ZY+zXd4MKJD8Pn3Gy4QOK6RZ8+ba64HXumDBAvnss8/sV/D2675A4c0339QXLFeunHoLKDOhd+d+0ngLUTEGFFy4PHmt6Wc8r+Uum5S2t3oHhFSgdZ48+TTxNW7ceBPj+sgnn3xmTZu6hwVb9PLlt8TNbb+tylCqtJaCK1SoaE7GPrJ581ZzIIVoSGcTFXbcmxvulyuZ+XwcTITseAkMgB5twqmXjefOM0mbNANkv/nmG/tVvP26L1Bgpv3x48c1jqadupyJ5wYOGiS7du2Wc+dCbLkF+5t2+oFczkxcZz4rGgwn3D1k3vz50qZt2ystqyRkBwwYpEN6mcpjKTfd+aIFOiQkVMcLdOzYSStfXFPmnOIqr1m7TvNZDAq2jY935XzWVUumymf2HL0chFOrV6+RDh06KmkLT3XYsGGa/7tRxv1W675AgdZLym5kfkubeK5w0aLSvEUrnbRz6tRZWwhh3rCrl4KuNUXtpDQlcp1wJ/m4SDp37iwVX35ZipjrQwmXQaZz5szVTW51V956UQKHMOduruWIESOkSpWqUsCEC8WNW1yjRk0dI79+w0Y56+Wr071wo7PPIWTjJvAVzY9Dh47KpElTpLq5LvlNOF+3bl3ZunWraqE4E1O52bovUGB9/933sn//AWnZ2rjKJUqYzV9Jhg4dpi5epHmjVCGyEyhgCgzJ6RIeEaPqwag29enXT6rXrCnP53pBcj73nDJByZpTMiPPQKvv3dw4V18kswmx3n33PfU8baSk0vL0009LgUKFpHGzZjJi5CidVsYMEtS3Vbk4GwECBihAvQ8MCpW1azeoxsdLxosqbUJ6vHYOnrstid83KPzx+x/aNjxy9BipUq2aZtwbNGiok5uJ78iIJqeYG+WKXPObmMM7AhjCwiPNKechq417O9iAZa06dVSkpoC5TqhXkT0/duy4REfH3JaTnl0Wri7jCkNDQ2X79h0KCFQW8uTNox5CsxYtZOLkKToIGFapTeSHw4cW92wECuaZAgih3Z8+fVYmTJhkwqmXpYDxEho1aSKLFi+Wi5cu2a/qna/7BwWD5pffuCw7d+0ysUwHZfThIuPqHTt+8poGlOwR411rJFoTkpBzi5EzXj6ybfsumTZ9hnTs1FHH0EGLLl++grRr116mIiJ6+Ig+DNm5/fq777+X+Ph4Fe8ZOXKkNGrUWDkfcGFq1a4lvfv01Q7IffsPiZ9/kAkZ4jV3Zbvm2ctL0OfKGD0dDC6CPMfzRy6B5w9RpE9M6HC3675BAZcXjj+Js/ETJihZgtmLzZu1kNVr1kmgtqq6oIbjHZrj5ALN/fyD5cChI7Jk2XLp17+/Zs2fey6nsiBr164jg4y7t2bNGvO98fLvbMhp+Pqb78Tbx1fmzp2rbDwYimTQ8+TJrY1NdPytW79B+SDBIZEShxdKheGGa+76ZttTgGFsfJKcOuOljXiVXq4sTz31lB446Kky0+Feqlz3DQqO9dFHHylrqrZxj3PnziPly1WQkaNGy7ET7gbNbe5ddgohHKahBPVy85XEK6jOTUT8Yuiw4arcVKJECSlWrLhx/SooC3LCxEna1RceHi5ffOH6A21RAfLz89MhO3APbANQy2g7OsrLzU24gCe1d+9+8fH1U88rITFNr6kr99jc1Ew4bnueSGhHyrYdO7UpkfEDND/hsZ84ceKeq1sPDBTIont5eRmXb5SegNzQps2ayqIlS3RCtTIc0aG/8QNmIyMhhMAHLm9AYLAO/CQJyfRfHgQbOBQTxtNRXx42fLhqA7z77rt6ff/9b9fpuvzpp590gndqWrps3LhRevToITVq1NBrUKRoEdW/BCBp6lm3fqN4eJ7ScQJ0ACptOZuGpGrkEiArmWtx7PgJ9dBJXBO2Q2mGOxQXd+/Dih4YKFCe/PzzzzVTjL4+TCrq810Mgm3fscuO7nZlpuyUDLrBbAh/XsEhMjJOzpz1lU2bt8po4xrDQuOEJAkJ4sPjp+Y8a9Ycva7x8bRjO1fgzUoLzgHNORs2bFRCFw9/iRIvaRiFIDDEm46dOqtL7Lb3gPgHBGt1gbZ8Z9c0+5nZPwnJ5hqe0zEDjRo30TwCh0nfvn3V6/rxxx/vuRHvgYGCYwUFndOWVUgl0J+rV68hc2bPE28vX6WeagyoLl92BQab66dmPKfYOCZch8jBw0e0oapvv/7KY3A0mqFuVbJkaT0B0BikXh8dE6tNVu+//36WIEChBP6WCRFSUlM1JNq5c5duXliexYu/pBv6pZdelComFm7ZsqWMGDlS1qxdL+4enhIaFmUeACpYXLPsV3K8zq4wNKHUR6ve5JAhw8z+KKXaJrWMt4mkwZ02Pt1sPVBQIOl44cIFWb16tfEWWijyQ4FGCWf3rj1y7lyolumUhZVtQeGqaSepAQYqFORdfH0DZLfbXiU2kYjE42L4DGQdABa9BmTGhg0fodOwt+/YoaXMr776Rt1xGl4o55FcehSUByZl4THyHn4274Uuxg8//Fh8zcm1bt06mTZ9urY016/fQCsvJBERVYWERAWGcGnZsuW62dFSpOPPEXYCCM6uYXYyABFDGwKdUKTVuG5FTciJZ96rVy85ePCgfPzxx/Y7cm/rgYMCbkt0dLQSc8qYuLDYi8U1UURPxHFKlIiwQGbigciuMeE1pn3+3GzzZ3onaMM+aeJnEpEI1yAcAhCgs4caL70UDLmtVbOmtG7TRvUymXVJv4mfv7+CxGuXXpPPPv9Kfvv94SHDj7/8Jh8YAEhLS1dvwMvbW44eO675gMFDhkjjJk2UlwE9maQq05rIo3Tu3EnzBouMG7x7t5v5OV+Jio7VzLpeFz0ZnV+7bGV2YGSfMLMCkWB6HDSXUNQAq9kPK1askLfeeuuuKM3O1gMPH1j0ROwwpxgiLHnz51MKdE+DYhs2bFbmlX5AYxYoXGNcC7V0iYlPknPBYdpxuW/fAVm1ao1MmDhZNfZQ5kW2/CVzMlCTxhurWq2aDjnp3aePTJ8+QzZv2qxyXKHh0cZlT5NLBiRoXoMcRbfc119/o+D98y+/yi///k3+vIVb8duff8ovv5qT/+df5Pvvf9CE5yeffKLqW2+88YZcvHhRwSzA3NdDJgRatWq16my82qWLNGjYSMpXIIzMpUbyEGBo0qSpCR/669hB9D4Zyefl46/vN878rqRUFxVWvQ9LTsaztOUSYHDOm79Qpz4VLFRIihhPoXuPHsbT9FVm7P2uDAEF4tyoqCgln5BNp5ON0hsCmsyIQI8et1CTbpZdZzYXEQ8CzyFVqeJoA+zbf1BWmbBsxowZJuYeIS01PCsojz/+hOTI8bTyHRAZqWlOjI4dOupU8FGjx+igGkKNlStXKlDDnvTx8TWneaTExCVIfFKyXHrjTfn0q6/lx59+Vrku7Dvj+n/wyWeSevGScVeTlITGLAVo2YwKZGDr0qVLTQw7WyZMmCjDTUjTu3dv3ahoa8BsfeaZZ8x7yyFPPvmkJsHgHjACfe68ebLRgMGRYyd0wCu5JscB4XCRb7wu2d0INRMSUvSw2LmLKehMaqtg7vtzekhwLy5fvvxAqPIZAgq8MVo1iW8Y204ShJine/ceZmOvUXYf+oZsBN0A1ia4avaHAo0G5LVSzGagAy40LMKAg4+65Lt271YK60CzMdq2by+NzIms3sNLtqQdZT02DA8nepEImJLh72JOb4aBUMKaMWOmgsX8BQtl2YqVsnHzVhOG7DJuqc2279gp6zZsksVLl+nE4jnmewH1MWPHyoABA7QWTtmURDKvDdGI/BHJUUcmvIZxbRGZQb9ytPm51WvWyN79+02o4yF+AYESbq9IpZrPm2Y+L5wDGyBY+8FhDpBUynxElM7AnD1nrl5XvMQihQuriAqSdHeiv3gnK0NAwbFwWWHoUX8GGIghiYNIpgWeC9USk7UJbm6JnJ72MEvZawmJEh4VI+dCwnTQB7mH/QcPy6bNW/ThJnanjb1+gwYqxYUiUelSpbXXIl++vPqw4sIzHAXV6SrVqipokK945ZUa5gGvqUk/NfNn/q1a1Wr6PXxv5SqVpULFitqYRMmUe8rvpHRa3dzjunXrSUMTMjKabKwBgWXLlyu4wMdA/MMvIEjJW5ExcSZMSNaNrp/PCiWdmzkQHKAQE59sQixfWbd+vXpkXHO8MQYSQVR6kN22GQoKZMFprR4+fLh6CiSZkCrj5EFvwOYt8OGtTXEr0/KlPaSgHAUJihMWDwIZuGADEjD9jhw9Jpu2bNXTnRo/RDK0B4jjOcGhoJOpxooUKyqFMPNvBQsWMhus4F+sgDEe/kLmwS9svvfqzxbTfn16EiiVIgo6bvwEPcGWr1ylHsdJD0/xVxCI1PuswieJaQYIbPdZP48eCH/9vJbZjGtlq1ClS2h4lLjt22+u83gFfMJyvDOSiwDCgwgbHCtDQYGFliMSbbg7bCjGV7Vv11F19Gxa/Cm2k8LJRbHsWrOdGDbK9CWdKqwDUvk/40VQ1qRnguoFJzInM/mbbdt2amZ/wqTJMmzESKUR01TUvUcv6dK9u3QxcT4EqZYtW0uLFq2uMwC8U+fO0qVbN+lqQr8ePXspj2LQkKFKYZ86bYbZlKtl9569CvJM5YZzQQ09zng1jBFkQ1/7vm0hgiNMuPEzWnadqafIjJEEOXPWS2bNnmMAoZ7x0PIryQ0whqj0oFeGgwK18zizWZmDUM24of/85+MG5V7SJOTBg4dUjORK0hFUvPHCWHYLMw+WhhbGczAPIMCAB0E1AKMRDdCNikmU4NBI8fUP1IoGGg8HDx/V/or9Bw7Kzt17ZNOmLbJx42ZjfLX9mV6EPW77dETeAROmHDJhAA8/2e+AgGAT48aYDZukFQMYmrbXtpt5P4CChghO37tltzVzb5W5GHhOu0Y7d+osOXPmkqeeekbamDBx+/btGqI/SC+BleGgwBsmARIYGCi9e/WSPLnzSM7ncmria74JIzyZ7xcbr+UWy2O4f7OFGpzMttOZBF7a+dclBQAxYQfEF04epM+hnjMYmDifrDbksnPBdtM/h2nDDSc/34tKd0x8ogIO94uTn99NUtTmCdi8GVuYg1n3857MHlKTRyK5CHhDB6f7McdTOaREiZIyc+ZMDc0zYgpZhoOCY1HXXr1qlTRiIGvePLa+iC5dZN2GDSb2DNRTJdvTWO/bzLXj+tlNH1CHmf8DGLSzUP/NnqNIgRNgXHzzAN9otjyP7av+Gz9jH/RzBQCusWtf20oe37vpc2CAARFgD8/TOv6tceMmWm0oVrSoCfm6yLGjR3VUXkashwYK3377rTl9zsnkyZOV484HpD9i8OAhKtASEhqhrqZuLicXyrIHZzc+zHdrzn6nZQ/OAFza7KG9r1y1WjU+OUTpgsTDXr16laSlpd03c/Fm66GBAkwrBCThLvTs0UNLKqjxUq6cMGGCHDIxbrhxU0mspJgTydnFsuxBm+1Ud/bgO8w6+R+eOWjM5NgCgkJk+/ad0rdfPylbrpzkN4cozwql3nNBQRqSP+hcgmM9NFBg0cqJ3BhsOOrpefLkEWqt9EZQpiS/QI84SGlzXZ1fPMssc0XTfJCxyKg4pYzjVdesVVNymeekWPHiSlLy8PBQmnlGrocKCiyAAddn9uzZyoSDAg2hxtYbsUn8A89p5lpFNK65YJZZ5uqGhxBtDkVmYC5btkw6deqo/B5CbQYtUW0AEDLKQ3Cshw4KLHoj6KRkUAV8fT40veBkWPfu26eTbjTD7XBhnVxAyyxzCbPvcTwEEoswVTdu2qRUcmjqsEYhKS1evFjeeecd+xOUseuRgAILYCC/gKgGaAjjjj/PmTNbjh49ru2hVxKPFn/BMpc1AOGi8kngI9A+Pnr0KJ2iDZsUkhJyfbSjP6z1yEABF4g66/Lly9U1IrNKGEGmddGixaq9EBERYyO/KDfe2QW1zLIsbOTNjEH2Cg4OEze3fdrVyiR3DkoqDnSW7t27V4WRH9Z6ZKDAQi2IMGLK5MmaWWVyNQ02NHmsWbNOvLz8JCYmQUkcWlO3MuCWuZTZAIFJYidOeMismbN11Jujq5jyIw2Fb77xRoaQlG62HikosGix9vH2VmEOypSPPfaYIuSwYcOVt09TDf38KXoRLVCwzHUMQhjTraCer1y5Rjp16qxiNMxuQKCIPAKqzL8/REBgPXJQIIygaer06TPSq1dv9RQoVdavX1/GjB2vo7VJPCYlWUq+lrmQmbCBvgYSiwzIhY+AHufzzz+vh+PUqVMVEOgdetjrkYOCY3322ec6qPbVV19VYCDJgis1yYQW9OMzVVfLlBZ/wbKsbNrXgIpSqvaWoDfhUD+nCodQzahRoyTITlB6FCvTgAKLoScOYlORIoWV2NSgYUOZNn2mAYbjEh4eo8BglSkty4qm/Sdm75JHCAwMkR079+iUMPg6Dg1LCErMgKQt4FGtTAUKyIOnpqaqnmDjxo00jMiXL7/5c1MFBioSdPhpM45VjbAsK5nZr+xZKPxoXuza5SbDho2UKlWrKSDgHXfv3t14y/t1BuSjXJkKFFi4TOHhETJp0mSVAXv++Rd0RgAy54sWL5HTZ72UCo36kIMW6vQmWGZZJjIAAQ8hIirGeL1HVZq/dq3akjdPPvWIm2ij0xpV3n4Qisz3szIdKLA+/PAjnZGHEAvAAIehTOnS2mq9bPkK8fQ8rWUcgEH7JJzcBMssywxma3KyhQzkEOhpQDQXJTIG4SCrBi9hzty5EhwcIt999739KXh0K1OCAmHE++9/IEePHlX14apVq0jevHl0QlKPHj1l+fKV2mceHR1v8xasUMKyTGoAAnkwQoYDBw7rXNCWLVvZ6f35VREb2f6gc+fk62++0Slbj3plSlBwLBKPAMPQoUOkEhoMBQtJhYqVVCsQqXjqu1EGGByhhLObYpllj9LwEJiHefjocZk9Z560at1WXipRUnMIqF+joIQq2Zdffmnf9Y9+ZWpQoKMSxSaAYcy4cVKzdm0pUry4VDYhBbMWl69YKSc9TtlDCWu4jGWZyJSHkGI8gDDVt0R0tWOnTlKqTBkpVqKEtGjVSuaakMHf318nqmV05+PdrEwNCiySLow78zx1SkaNHi3VqleXgoULS8WKL+twGXIMhBLMEnBwyZ3eJMsse4iWYLxXmvoABOT2W5iQAUl8pPUbN20q8+bPl7CwMAWEzLYyPSg4FsBw0t1dRhtgIPlIn0S5suWl86uvyuLFS+T4SQ8Jj4yVxEQ8BpKPVgLSsodslMrNVzyEcyHhOupv8pSpOuezWLEXpWgRAwiNGqmyOROdoPhnxpVlQMHhMRw/flwnWjNtl1IOI9I6duwos+bMVYJTWHi0xBuUTrzxhllmWQYbE73iElJVSm3nrj0y1oS89DBQPcNaNG8h8+bNU63SbzMpILCyDCiwyDFA7ECSiuQj8xJRbgIYmjRtpgQnZu0xvTge9SZVIjY3zKpOWJYRpnsLpWv+fl5i45N1HCKAMHTECKlRs4YmFNEiZcDynDlzMm3IcO3KUqDgWFQlEGixlSurKme8gAkn6jdsqO7a3r0HDFrbphlrAtLcPIsabdkDNQ0VzJ5KMV5pYqrO0fDy8pVNm7fqTM9KZl8yygAeQsMGDWT69GlXkoqZfWVJUGBGJdJUAANzKgkl8BigRTPEdtSo0bJt+w7x8vaVqKhY1XxUySsLGCx7QObYS3Q6MjDH3eOUrF69Woe/4sHS7UjeC5LSzBkzdLzbg575mFErS4ICy1GuPHXqlEyaNEndM0Ahb568xnuoJoMGD9WWVBSidTRdsp39aFUnLLtPI1xgLzEqLyg4xISsx5WC3+XVrlKqVBl54YUXNGxo1aqVCrASMmQmHsLtVpYFBcf67LPPJCAgQBYtWqTdlS+9VMJ4DfmkXPmK0r1HD1m4aLEOWmXYjG2Yra3L0vIaLLtbY8/o+D2zh2LjklQAaPeePTJl6lQtOb74YkndexUrVpBevXrJpk2bJD4+Xn788Uf7bs0aK8uDAu4YbaZJSUmyceNG6dSpkzZQPf7Y45rgaWWAYu78BbJ//0EdisrNtHWrWaBg2V2Y/SBJSbmoQ3W9vf00RB0/YYJUr1lDnn7mGcmR4xkpV6685rqOHDkib7zxxiPTRLifleVBwbEYocWgmcOHD0ufPr01nnviiSd0iEbbdu1k/PiJBrm36oh2BFtUKdrcbIsFadmtzLZH7PwDEy5AWT7hfkpWrlwtg4cMVb2PXHly616rUKG8hrIkFBFazQr5A2fLZUCBRZ4BQoitZDlMataoIcWLv2jivFJSr1596dO3nwknFsnBQ0e0Y415fcnJjpKSZZb91bTZzuwRKllIp1FunDZ9hnTu/KpUrfqK6omWKFlCmjRpqn0MkZGR2tCXVQGB5VKg4Fhkef39A1Xnrn79Bpr0yZ+/gJQtW07aGa9h2tTp4ua2XwICbeGEbfKyjSKdaHEasrfZuQeOrwlJadp0d1bLjVtk5MhR0rCRTYIdASAOHPbUqlWrJTExMUuGCzculwQF1vff/yChoaGybNlyvWm0qlImYuhMfeM1DBkyXNat2ygep85IeGSMPQlpvAazGZLTLtmHql6zWSxzedOcgd53AwomvIyLT1KPkkT1wkVLpEePXlrZKliwkFYYEFhFPm3Hjh2SmpqmpXJXWC4LCiyUcF977TXZvXu3ZoMZv0WuoYDxGipUeFm6dOkqc+fOM+HEYQk8F3KV7MQmsUAh25lWpcyhQO4gKjpOfHz8ZfuOXaqS1KIFDU2lVNeDA4YJTkyARk+R/AEhg6sslwYFFrEd1GgaUGbNmqXS8cSBVCbwGhqYv48dN1a279wlZ856m+8Lt8m9XRNSqDnZRJa5gF0JF9KV5AYYEFa6n/SQNWvX6sg2h/oXB0qZMqWlfft2smHDBklISMgSDMW7XS4PCtcuypZM3Onbt6+88sorepMhO+FBIJo5x3gNzPI7c9ZLwiMiJS4h+Ur5Uk8Ry3twGdNQIf2SLVwwoUJMXIIJFULF3d1DNm7arN4B5ewSJUtKrly59QChuQn5dca40ZznqitbgQKjt9588005cOCAun5NmzYzN/slyfH0s+o5II01Zsw4Wb1mrbLUAoNCbLwG+yayQMF1LNkAgt5P4yWQSPTx9TcP+34luyHgU7lyZXkuZ07JmfMFKVu2vHbizp49W7y9veXzzz/P0tWF261sBQqO9f7772v76rp166Vnz15SqmQZc/OfVxeRkfjdjNeAuObWbTvkpMdpCQ6NlFjjNeBiMurr6uayQCLrmP1eES6Ye0h4GB2bqKHCkaMnZK3ZC2PGjpM2bdvpCPjceXKrh/DKK9Vl5MjR4ubmJrGxsVrZcvWVLUGBReno4sWLqs8AALRr116n9FC+pBW7Xr160rt3H5kxc7YBh51apQgJi5D4RBNSmM2Vkm4BQlay5DTCQOMdGM+AhDKJ5WPH3GXt2vUyfsJEnXZetVo1KVqsmIYKhJckp5mKTjMTfTaulEy81cq2oMDiJn/99VeSnJws27dv1/ISwEDp8plnntFadOPGTWTQoMEyf8FCc1rsNSHFOUlISjGbK10Sk1Jto/KdbELLMokZEKCiZKsqGUCIS9SE8pYtW2X69BnqKdaoWUvzSzly5NAwknGFEyZMkBMnTmi4yaxTiHHZZWVrUHAsbvhbb70lvr6+snDhQm13ZZMADoULFZby5StovqFvn76ydNkyOXbCXYKCQjRTzWbjBHIkra7kHqz8w0M3x7XnPtjuyWsGCC4qByU8Ilr8/ANl774DMt14hjASa9WqrWMD8ubNp/caD5GEM6MLIyIitNkuOy4LFOyLxJFDp2Hfvn2aZW7atKmUKVNGRVw4QUqaTdPUAMboMWPV7Tx+4qQEBYcadzTRhBXGa0iylTEt2vSjM732yXgHkI8QP4kXX/8gbYhbvGSp8QYHKBg4FJHII5FDaN++vc5fIJFImfFRT2l6lMsCBSeL7DLlS0hPAwcOVKIKpwjeA5upSpWq0qFDR52IvWHjZjl+3F18/AJVvTc6Jl5PJmreGlpQA79h41r2gI3kobnWXHP6WSKNB3cuOFzOnvVVNeUVK1epGA8eIENcYSQy1bxcubI6nYkmJvplILoRKmT3ZYHCLdYnn3yiSaZVq1ZpOywbiFHhJKKQ2YLf0LJlSxkyeIgsWLBIdu3eKx6eZyQg4JxxV6PsfRXnJdW4sannX9MQ40p4YVUu7sGuhmeEBlzT1LTX1CuIiUmQ0NAI8fENMOGdh2zesk2mT58pvXr1NqFfA/X4AHTyRJQb27Ztq3mDbdu2SXR0tPzwww/2u24tCxRus3799VfNN5w5c0ZVdIYOHSotWrTQRhjiUCYG2xKSjWXYsBEyb8FCbZyB50AMGxZBX0Wq7TQzG9uxqa0Q4+7tyrUzpv9mwoTYuGQJCY0ULy8f2X/goKxeu04rRlSOatSood5dzpw5JW/evBomoLcxfvx4FUCB5frpp59mm6rCnS4LFO5wUZ9GrwHPYcWKFUp/RQIOcCA2LVK4iDmBqkj9Ro2kW8+eMnP2bHNabTUb9ZB4Gu/BP9B4D1GxEpeYYqdQpytb0uYxWF7Dzc2AANeJMMxYQnKaxMQnSWh4lPgar+CE8Qp2u+27Ulps27Gj1KlbTz06ckGAAo1LhA7kifAMaG8md2R5B86XBQp3uYg5yTfgOZClJh7FFa1SpYqGFc8bzyG/iVdrGcDo0rWrDDOx7OzZc2Td+g0KEGfMiRYcEi6RCMompmqmPPX8JVt4QR3dAgj1BAi1NDyggmDAgI7F8MhoVek+eeqM7N7jJitWrpYpU6ZK/wEDpV379lLReAIv5MkjeYxXAFjXrFlTqwmMZ4OajGwfwG55BrdeFijcw0LlCd09+O/BwcEKDhMnTpQOHdprQvKpHDnk2Wef1VMK3kPz5i2lT9++Mm78BFm6bLns2LFLjh07YbyOIJUGpytPNR1ITBpLNG4xrrGaPexwacMLuPYzX7kOadp/gvAu4cGhQ4dlswnN5s1fICNGjpKu3XqoXgYAkNd4a0899ZQ899xzmjOAeAQtef/+/aqTSPL4p59+cpn25oxcFijc5/ruu+/k7bff1o3n5eWlPIcO5tRiY9rEXfJLsWLFpZxxYWvWrCVt2rSV/v36m7h2gvbob92+Q46fcFfufUhouLLt8CDgP/BgpJiHxlZ3J5a+mqi81myciMzkYdjfk92cvWd6D2CF8vmUOg4ImM/MZ4f/AQ/k7FlvOXT4iKzfuFFmz5mr0v09e/TUsjC6BqXLlNWSIteYzleqRDS7kS8ICgqS1NRU7ZClhd5ad74sUHjAC+/Bx8dHNyYJLerf1apV02QkZTCqFsS7/FvDxo00xGCzz5o1WxuxINegI0kzFoSbuLgE88BAkMKlvvHh4oG6xq75u/OH9eHa9e/t+vduI3tdMECQYoAwTsu5qCMzRXzHzt2yZNkymTZtugwePETammsIyxCgLW28AoCAa1m6dGnN6/To0UPb4ulPIF+QWWc0ZpVlgUIGLEIL2HDnz59Xqiwbli67VwwQEF7gQbCp2dy05laqVFmptpyAPY3bO236dFm/foO47d1nfv6krYphXGhO0KiYBImOS5SYuCSJNXE2dXnCDxsvwuZd2Fzva9xxQhDzID5Qb0J/n/l65TXOKy8jMTlV30sC78mc+rw3QgDeK+852nhCUbHxmlPBM2Jgz9Gjx2TXrt2yctUqGTdunHTq3FmnfdGMBJu0OIBqBwIEThxg0KdPH1m5cqUKpVIhIhlMtcha97csUMjgxalFb4Wnp6ds3bpVcw803yD2Qr6B8eQvvviS2fCFNS5m/B0Thpo0aaJA0sO4y8NHjJQFCxaqpPiBg0fkhLuHnDp9Vrx9/CUg8JyEmocrIjJK8xOEH7EGNCBQKeefB9Y8vCnnL0naxdcl/dIbkn4Ru2z+buzC63dgl/X7bWZ+1vyOVPPv2hSmYGDTMiQZiC5BlHkfYRFR5vSPkOCQMPUAzpqHn6ayY8fdZd/+A7JhwyZtRBs4aLB069ZN2rVtp01opUqV1OuQz4QERQwAEBYAAgidcE3IFTCTkcQhlaDLly9bQPCAlwUKD2FBoYY2S2ybnp6unZnr1q1T9V+Ydl26dJEGDRoo247yJvwHpl3xZ3gQfKVrr6sJNUaMGCWTJ0+V2bPnyqLFS7Xll1P20OGj4n7SU04rWPiKf2CQBAWHadt3mAlDomLi9MSONw/vjcYDfTP76/en61fKgoAQpUFeg8Gqfv4B5uT3EQ/P06pruMd4Olu2bjMewGold8EfmDBhkhLBqNjwefl8jPyDR8Cf+ex4BIQKzZo3VxBA+4Lx7YAqNGTKiSQMs1OT0sNcFig85AU44OaSe+CUg023Z88ezZRDjMKLoKZODF3FPBjFzGnJw1KgQH5l5ZGLYF4m/9+gQUNp3aaN9OvXXyZOmizzzYNHdYOZhgzG2bZtp+zYsUfLd/sOHJBDR47qw4p+ACc28fup02fk9FkvzWPczBi9hzwZP8PP8jsOHj4ie/ftl1273WT7jt3m4d9uQp71qmq82IAVXsDQYcO18YiwCM+oTp26mmzlgS9R4iUFPgxvCdDje1q2aqVlxDFjxsiSJYs1/CJhSHjw8ccfa2LXWhm7LFDIBIsp2gh4kDE/e/asHD92TE/F2bNmyYD+/fVUxZOg7o4bzdCRokWLSM6cz2m7L11+pUrhYlfT76lbt440MjF5s2bNpUXzltK6VWtNeBKOdOrUWWceDug/QCXHcMWpmDi3RQZoFhiPZpaMGT1GWYI85J06dja/q5O6/K1attbXoHmM90isX716DQ2BCImeeeZZeerJpxTYCAWghr/yig3YYIHCMMRbWrx4kezZvVtOnjypiVrYhvBBKCVa6+EuCxQywcINhlCDXBwciJ9/+knef+89CQ8Pk6NHj6jWA/0XC8wDOnXqFBk8eLAOL4Wpx0mL9gM1+qeeymH/+pQ8+eSTak88gT0hjz32mPzrX/+Sf/7zn/rvPLA8vM2bt9AJWm3NA36jITzTxngiTRo3NQ9zJXXz+T3//Oe/9Ovjjz+uv9vxWo7XvvY9OPgaeAJ4QSNHjtRuxCVLlmgIRdOZh8dJSUyIl88/+0x+NSEW14HrYXEKHs2yQCETrx9++F6bspCPw32miy8tLU2l5NCZhG49efJkBQnyEgAFyTgSdngUxOy45lQ5eDj/ZQDh73//uwJDjhxPq4cBh6JEiZLGSjk1TndmcwI+POT/+Mffjf1DAYHZB5RYIQ8BUPQaEALgNeDdUCoEBMidEFq4u7tLVFSUVmUIncgNEEbhDfzyS9YfouIqywKFLLg4QclLABbQdqluMO4ct5sqxzETflCz37x5sz6MS5culenTp2ucDv+fB3XYsGEKJtiQIUNvYUPUyHeMGDFCf3b06NHKwaDUSkkQuXPCHYCKHACzEPz8/BUASKyiXsRsBKstOWssCxSy8KKqQegBSBB2UN2AygtPggeQcigGgMCbwOsgWYfxkHJK36nBDORn+Fl+D8YJz+/mNZj8TYMRr43+Je+FMIDEqlUlyFrLAgVrWcta1y0LFKxlLWtds0T+P39B4onS2WDxAAAAAElFTkSuQmCC)
A sphere of mass M and Radius R2 has a concentric cavity of Radius R1 as shown in figure. The force
exerted by the shpere on a particle of mass
located at a distance
from the center of shhere varies as ![left parenthesis 0 less or equal than 1 less or equal than infinity right parenthesis](data:image/png;base64,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)
![](data:image/png;base64,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)
physics-General
physics
The gravitational force Fig between two objects does not depend on
The gravitational force Fig between two objects does not depend on
physicsGeneral
physics
Two identical solid copper spheres of radius R are placed in contact with each other. The, gravitational force between them is proportional to
Two identical solid copper spheres of radius R are placed in contact with each other. The, gravitational force between them is proportional to
physicsGeneral
physics
What is the relation of the transistor current?
What is the relation of the transistor current?
physicsGeneral
physics
Which of the following the correct relationship between two current gains
and β in a transistor?
Which of the following the correct relationship between two current gains
and β in a transistor?
physicsGeneral
physics
The current gain of a transistor is 100 . If the base current changes by 200
, What is the change in collector current?
The current gain of a transistor is 100 . If the base current changes by 200
, What is the change in collector current?
physicsGeneral
physics-
A tank contains two different liquids which do not mix with each other as shown in figure. The lower and upper liquids are at depths
and
respectively. An object O is located at the bottom. When seen vertically from above, locate the position of image of O.
![](data:image/png;base64,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)
A tank contains two different liquids which do not mix with each other as shown in figure. The lower and upper liquids are at depths
and
respectively. An object O is located at the bottom. When seen vertically from above, locate the position of image of O.
![](data:image/png;base64,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)
physics-General