Question
If Wa, Wb, and Wc represent the work done in moving a particle from X to Y along three different path a, b, and c respectively (as shown) in the gravitational field of a point mass m, find the correct relation between Wa, Wb and Wc
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)
- Wb>Wa>Wc
- Wa<Wb<Wc
- Wa>Wb>Wc
- Wa=Wb=Wc
The correct answer is: Wa=Wb=Wc
Related Questions to study
Let
then ![P to the power of 1 divided by 3 end exponent equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADQAAAASCAYAAAAUjf3AAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAARqpSybAAAARhJREFUeNpjYKAt0APi4wyDHKgBcS0QXyBC7SQgTkYT+w/Fv6BmuA20hxYDcRrUUfgAGxC/hNK4gAYQPxwsMUXIQ8nQGMIHmID43VDx0HFoHsIFhIF4ChAn0tqhP5DS+RcgXgXEjiR6iFBhADM/ltaeUUHL7KD07wLE94FYiwQPYSsM0AEfELdC8yPNQAAQL8WRH0qI9BAxhQF6iqAZqMficBDoAOIcIj1ETGEAA7ZAfIaWHgLlFz80MVEgvgXNxMjpHxmTUhjA9IBiZgcQyxOhFh/GC0AOl0TiGwPxURyFwqAHoDrhD9TX76AeaUbz4JAC5kC8f5C5iaIkFwnE8xmGEZhE6zqB3mAdEHsNJw+BCgIOhlEwuAAASLVSN2JpxmwAAACLdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdXA+PG1pPlA8L21pPjxtcm93Pjxtbj4xPC9tbj48bW8+LzwvbW8+PG1uPjM8L21uPjwvbXJvdz48L21zdXA+PG1vPj08L21vPjwvbWF0aD5SdEBWAAAAAElFTkSuQmCC)
Let
then ![P to the power of 1 divided by 3 end exponent equals](data:image/png;base64,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)
Let
be A.P and
be in H.P If
and
the ![a subscript 3 end subscript h subscript 8 end subscript equals](data:image/png;base64,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)
Let
be A.P and
be in H.P If
and
the ![a subscript 3 end subscript h subscript 8 end subscript equals](data:image/png;base64,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)
The work done by a force acting on a body is as shown in the graph. what is the total work done in covering an initial distance of 15 m?
![](data:image/png;base64,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)
The work done by a force acting on a body is as shown in the graph. what is the total work done in covering an initial distance of 15 m?
![](data:image/png;base64,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)
A 8 kg mass moves along x - axis. Its accelerations as a function of its position is shown in the figure. What is the total work done on the mass by the force as the mass moves from x=0 to x=6 cm ?
![](data:image/png;base64,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)
A 8 kg mass moves along x - axis. Its accelerations as a function of its position is shown in the figure. What is the total work done on the mass by the force as the mass moves from x=0 to x=6 cm ?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYUAAAFTCAYAAADWRBB6AAAgAElEQVR4nOydZ1sbSbr3/8o5JxTIYDK2cRrv7Ox5db73nt3x2MYBE00OIiihnFuhnxd+qqbUtITASGC7ftfFRWp1rK677qwQRVEEh8PhcDgAlPd9AhwOh8N5OHChwOFwOBwKFwocDofDoXChwOFwOBwKFwocDofDoXChwOFwOBwKFwocDofDoXChwOFwOBwKFwocDofDoXChwOFwOBwKFwocDofDoXChwOFwOBwKFwoPFFEUIa1VKP2b3DYcDofzPSh4ldSHiXTyZ78rlUooFArZ/xEUCgXdhsPhcLqFC4UHCtECpJM++S4VCsA3YcHCCg8Oh8PpBvV9nwDnetiJv9lsolarQRAE1Ot1qFQq6HQ6aLXalm25MOBwOLeBC4UHiFRLYLUCQRCQSqUQjUaRz+dhNBoRCoXgcrmgUqmgUCjaahUcDodzHVwoPHBEUWyZ6EulEo6Pj7GysoJYLAa3241nz55Bq9VCq9VCpVJRgcKFAYfDuSlcKPwAiKJIzUbJZBJbW1v4888/cXFxAa/XC4VCAaPRCL1eD5PJBIBrBxwO53ZwofDAUSgUaDabqFaryOVyODk5webmJra2tpBIJJBIJGAymeByuWC32+H3+6HT6Vq0Cy4gOBxOt3Ch8ABoFwBGJvNms4lcLoeDgwOsrKxgbW0N4XAY5XIZ5XIZW1tb8Hq98Hg8MBqNcLvd9LNcIHA4nJvAhcI90ykBjaz2K5UKotEoVldX8fHjRxwfH6NcLqPZbKJcLiMSiWBjYwNerxdutxtmsxkGgwEqlarPV8PhcH50uFB4IMglnwHftIRMJoODgwN8+fIFe3t7qFarsNlsEASBmpW2trZgtVoxODgIr9cLrVYLjUbDNQUOh3MjuFB4wNTrdeTzeZycnGB7exvhcBiNRgMDAwNQqVTIZDKoVCoAgFqthnA4jL29PYyOjsJkMlHfAofD4XQLFwoPBGl+gUKhQKlUwunpKTY3N7G/v49yuQyPxwOn04lms0lDUE0mE7LZLADg/PwcR0dHcLlcVDBwMxKHw+kWLhQeKNVqFdFoFCsrK/j48SMikQgcDgeCwSDMZjNSqRRqtRrcbjeGhoaQzWZxcnKCeDyO9fV1OBwOWCwWeL1eLhQ4HE7XcKHwgCCmnkajgXK5jIuLC2xtbeHk5AQqlQqTk5MYGxujfgS9Xg+v14tHjx6hVqsBAHZ2dnB4eIjBwUEMDw/D7Xbf5yVxOJwfDC4UHiCiKKJaraJUKqFcLsNgMGBwcBBPnz6F3+/HyckJgG8F7wwGAwYGBmCz2SCKIvL5PIrFIorFIkqlEhqNxj1fDYfD+ZHgQuEBIooiVCoVrFYrxsbG4Ha7MTo6ioWFBahUKkQiETSbTTSbTYiiCJ1Oh1AoBJVKhWq1ing8Dp/PB61Wy/stcDicG8GFwj0hrWlE/gZ80wD0ej38fj+ePn2KWq0Gr9cLv9+PfD5PP0cEg0KhgMlkwtDQEGq1GlKpFJxOJ5xOJ/cncDicG8GFwj3SKWlNp9PB6/XCYrGg2WxCp9NBr9ejWCzSzzWbTTQaDTSbTQCA1WrFxMQEKpUK9Ho9DAYD1Gr+iDkcTvfwGeOe6JTJTJrjGAwG6PV62kVNoVDQ/7GaAhEKOp0OGo0GtVoNSqWSfnE4HE63cKHwACFRSGRCVyqV1/ZjJuYo0lOBw+FwbgMXCg8AuUmc9TcQTUCu+Y6coGD/xgUEh8O5Cdy28EBhBQArBMiXKIpoNBr0i0QisZBtORwOp1u4pvAAaScIyO/S7eQEAofD4dwGLhQeAHITOisE2B7NbKtNpVIJlUoFlUpFHdAcDofzPTwY89F1jlTO1XukVquh0Wig0Wh4PgKHw7kT7lRTuOmkLl0By/2v3X5/9lVxO+czq0GoVCqo1Wqo1WoeesrhcO6EOzcf3Wa1z5pEutnnzyAQOjmB5bKc2yGXi/Az3B8Oh3M/9MSncN1ExmoI101g0gnyZ5nwbnLdHA6H0y966mi+zgQk93dpTaBf3dcgdTRL//6zCEkOh/MwuJfoI+mEz0563DbePVwocDicu+beQlIbjQaq1SoEQaBOU61WC61We0VT+JWRms+60ZyIoOUCg8Ph3JS+CwUy4ddqNaTTaaRSKdTrddo6kggF4O/yDuxnORwOh9M7+ioUWDNRLpfDwcEBdnd3UalU4Pf7MTc3B5VKBYvF0s/TetBIV/zdaAA3ceRzOBwOS0+FglxhtkajgUqlgvPzc3z8+BHv379HqVTC6OgoLfk8NDTUUjJazpTUKZzzR58I5RzLN+FXzOvgcDh3w50LBbYOD5toJYoi6vU68vk8Li4u8PnzZ7x9+xYfP36EIAiIRqO0uFu9XkcwGITFYmmbqSs1LRH45MfhcDi3506FAhEIciv6Wq2GXC6H4+NjrKys4M2bN9jZ2UEmk0Gz2cT5+Tk+f/6MWq2GarWKJ0+eYHh4GGazGTqdrkVr6GYF/aMLh+u0BVL7iK15JNWSeNgqh8O5KT3PUyATeblcxvHxMd69e4c3b95ge3sb5XIZdrsdtVoNABCLxVCpVJDP51EsFlGv1zE6Ogq3200bzXC+QSK2eCE8Dodzl9y5UJBOUM1mE8ViEeFwGKurq1hZWcHp6Sm0Wi1GR0ehUqmQz+dpW8lcLoetra2WHgFqtRpWqxUqlaptuOXPJjDkwk+l10y0BXZ7aX0kLjA4HM5NuFOhIM1gbjQaEAQBp6en+PTpEz59+oRUKoVQKIRQKASbzYZ8Po9EIgGdTgedToeLiwscHh5ie3sbgiBAFEWoVCpMTEzAYrH8MitjqRmIfJfeYzmT3c/gbOdwOPdDT81HxLF8dnaG3d1dZLNZDA4OYm5uDsPDw6jX69jf34dSqYTb7UYwGEQ2m4Xb7cbOzg79bDQaRSAQgMlk4iWi/z9E6PIGOxwO5y7piVBgfQmVSgXlchlqtRpDQ0OYnZ3F7OwsjEYjIpEI1QRMJhOCwSDGx8epgEin0/D7/dDpdC37Zun1hCiNpLru2GwI7W1X693UiZI23JHTIthz4nA4nG7oefKaSqWCy+XC7OwsDAYDJicnMTAwgEKhgHq9jkqlQh3NZrMZwWAQfr8fIyMjSCaT0Gg08Hg8NALprpCbuOUm0uu2aycA2u2LFRrt9nsb8w/3H3A4nLugZ0KBaABmsxlDQ0Pwer3Q6XRwOBzQ6/WoVCrUBFKv19FsNun2Op0OdrsdxWIRoihCo9HAaDTKFsu7zUTYLqy1k11ebpUuN8F3qk90XZ8EuSQ9uf2Tn9tdu/S8OBwOp1t64mgmExIxCxkMBvo78QmwDmMSeUT+TgrjmUwm6kxlm8l0W+bhOuRW5tJJWCqIrpvwpYJEGg0kPUY3P3c6difBwOFwODelZ5oCiaNXqVRXJsVms3klzp5M/mymMpmQ2VBUdv+3Qa5/g3T1Tc6FaDDs/5VKJb0muX2xEC2IOISVSuV3tc/kq38Oh9NreuZolv4st0omkyQRHtJw016sdtuZY1iTULPZRLVaRaFQQLFYRKVSgUKhgFarhdlshslkgk6no+fLXhsRavV6HcViEdlsFqVSCYIgQK1Ww2KxwGazwWg0Qq1Wd6X1dFPgTtqbgsPhcG5Dzx3NnfoisH0U5FbP/V4Zk0m9WCwiHo/j7OwMsVgM+XweCoUCBoMBXq8XwWAQXq8XFosFWq225XpIbkYqlcLFxQVisRiKxSIEQYBKpYLVakUgEEAgEIDT6YRGo+l6ImeFA9caOBxOL+h5RjNBbhIjq2rWzNRrTYF1BkuP12g0UCgUcHZ2hp2dHRwcHCCRSNCSGwqFAi6XC5OTk5ifn8fo6CgcDgfVcsg1JZNJ7O7uYm9vD6lUil4fMSdFo1FUq1Wo1WrY7Xao1eq2vgJ29c+atuS251oCh8P5Xu5FKLA2e0EQUK/X6We7EQrfs0qWFtVjJ1wyYa+urmJtbY2GxAJAoVBAIpHA9vY2wuEwKpUKdDodDAYDjEZjyz7Ozs6wurqK09NT6PV6qhVkMhns7e3R/Ayr1QqTyQStVkuFDnt97fwW3TqcuZDgcDg3pWdlLtr9TyocSLSRTqfr2pRyV5Od1LRVrVYRjUYRDoeRzWZht9sxNDQEi8WCaDSKr1+/Ym9vD3t7ezAajfB6vXA4HNBqtVAqlajVari8vMTOzg7N1J6YmMDMzAz8fj/i8Tiy2SwODg5wdHRETVAqlYr6F64LZSXXzzq9WWd+p+uU7qPb+8Nu305gyT3fm/C9n5fb113tr9vjdbrPd3Gv7vIe3eTc7vq43wtf7PSWvnVekz5IIgzsdjvMZjOcTicMBsO9lbEgPaNLpRK0Wi1mZmYwOjqKkZER2Gw2JBIJDAwMQKfTYW9vD2dnZ9ja2kIoFILb7YZCoUA8HsfW1hY2NjaQyWQwPT2Nubk5PHr0CC6XC3a7HaVSCY1GA/F4HOvr69Dr9dBoNBgYGIBSqaQmtU5JdSQ8l3XQs9uS6K7bINWkpHQKob2L/IhuPk+Oc5PJqh8TWrdCoZtzkpoN2b/f9bV0e24PQShwgdB7+t6jGWhd6er1eoii2HU0Tq8gIaNOpxOzs7Nwu90YGRmB0+mEVqtFIBCAXq9HsVhEPp/H+fk5Dg8PEYvFUK/XIYoijo+P8fnzZxwdHcFkMmFwcBCjo6M0I9vj8WB+fh7lchn5fB7Hx8fQ6/XweDwYGBiQnQRYyIRPnNnlcplGSAmCAIPB0BIRJednkEZbdcrDkDsfduIn5cyl+5Qidy7tJhhp1Ve5/A8i9KS+FvZ4csgJXDluarZsF5pMItmk97FbE6t0W3L+cgmMna7/OkHSyRR5na+q25ydTsgtRPjkf3/0TShIH3iz2UStVkOpVIIofuu3QCbXXkMEkjQ81mg0YmRkBKFQCAaDAVarlUYXkWQ6s9kMvV5PmwaVy2U0m00IgoCzszPs7e0hm83C7/dT7Uet/nab1Wo1nE4nfD4fLBYLjo6OcHJygsvLS9lVN/s7AHqcfD6PVCqFZDIJi8WCcDiMgYEBaLVa6PX6lmttF6bazjfR7oXu9KKzL7WcwLjJC95N2C17zG7NYOy5tNNq2oX+dhqT0rBmFlYIddpfJ8Et93fpud5kP6xAve66rjsfsl0391E6fm6j3XFB0R/uRVMA/p7gcrkcarUaXC4XqtVq2zabvUC66iWreXbiaDQaUKlUNJFNofgWRqvX62E0GqHT6VCv15HNZmkIaqPRgM1mg9lsvhJZpNPpYLFYYDAYIAgCLi8vkc1mUavVqFNbDnK/stksYrEYIpEIFSYul4s6u30+n2ydKHaV2k5IkOOQ6KZ2K3zpSlVukpFOROzfrltxX5evQjQmdtLtFM7MHrdd0qDcSlU6gXWapK67JqmgkX5WKlxYQdvpeckJ605mveu2b/c5Kd2YCqXn3258SI8p91lO/+irUJAOTmLHL5fLfdMUOr3YbCkN6SRBoqVqtRoUim+hqcPDw3C73ajX60gmk4jH4ygUClCr1TAYDNDr9Veyn4kvAAAtBFgqlVCtVluimKTUajVkMhlEIhGcnp4iGo0il8uhWq1Cq9VCoVBAEASMj4/DarXKmh3IeRFth2gw5HobjQYqlQoKhQLK5TIajQYVgmR/bP8GhUIBjUZDS5loNBp6beykQvbJFj+UTuRkoifnqdfr6Re5PvY8iYAslUpQq9UtgpDVDMh9J858vV7fEtTATr6CIKBardLFiVTYSfdJ9qfVaqHRaK60RiXacLVaRaVSQaPRuJLwKIXcU+Jrkk6+7DisVquo1WotApwcm0WlUkGj0dB8IPKMyL6JgCXRgLVaDY1GQ/b8yOcUCgUdT2y7XOnzJOdaq9XowordB/GLscmrZGywQRT9sCBwvnEvjmb25Wo0GnTA9OvBy60Kyfd2JoR6vU5fbuDbinxiYgJerxeNRgPpdBqXl5fI5/Ow2WxQq9UtE4X0GKIo0pekXC63aEnSFWWj0UC5XEY0GsXh4SGOj4+RTCbpJLa7u4tarYZ8Po9wOAyHw9FSPqTRaEAUv/ltAoEARkZG4PV6WyYdMileXl7i5OQE0WiUZnKT6yD7IpOIUqmEzWZDIBBAMBikORvsdZKIrOPjY5rIB0D2hSf3Q6fT0fLpfr+fTmTkPGu1GpLJJHZ2dnB+fg6NRkOjuABQvws5T4VCAb1eD5vNBp/PB6/XeyVZstlsolAoIBaLIR6Po1wuA0CLmZFMdGTCNBqNcLvd8Pl8sNvt0Ov1LduTfiLRaBTRaBSlUkk2J0eqyTgcDhrGTCLbyP/r9ToKhQIuLy/pIqRer7eMM+l7pNfr4XA44PV6aV4MO75EUUS1WkU2m0U8Hkc6nUa1Wr2iVbAatFKppFWNSQAGuy25T/l8HpeXl0in0yiXy1SIkfug1+thMplgNBqpqVahUMBkMsFisdyrn/FX5d7MRwQyePopFDrRTq2tVCrIZDLI5/PQarUIhUIYHx+Hx+Ohmg4piWGxWK6YVqT7I5MbAJTLZbqKlkYTke3L5TJisRjC4TDi8TgVTiR7mgiFs7MzKhQA0MkRAFwuF+bn52Gz2eB0Oq8cgwiFnZ0dbG9vI5vNotFotITLsqYlnU6HQCAAQRBgsVhgtVpb9qlQfMvbiMViWFtbw/b2NtLpNABcKWtC7ocoijCbzRgfH0ez2YTVaoXZbG7ZLxE0GxsbWFlZQbPZhM1mo0KBFQhEKFitVoRCIczPz8NoNMJisVy5/nw+j8PDQ2xtbSEej6NWq7UIV3b1CwBOpxOPHj3CwsIC1WpYyP0kEWmXl5eyEWPk+M1mE1qtFiMjI1haWoJOp7uizRGB+PXrV3z9+hXxeByCILRouVKsVitGR0cxPz9PzZ7SRRppmbuxsYHj42MUCoWW58jeA+CbsPT5fHj16hXsdntLzxNCpVLBxcUFNjc3cXR0hEwmA0EQqIZAtEy73U79d0QgDA8PY3R0tEXYPIT54Vfg3oUCq77edxcxuWOTSYCsosrlMux2O4aHhxEMBmG1WlGtVjt2QZNT78l+iRZQqVToik9qswdAV4jZbJauYglEIJAVaKlUgkajoWYWURTpC1cqleikRmCPU6vVUCwWkU6nW4QP+QxR68nq3Gw203OXs4WTCScajbY41dmXnNWcVCoVHA4HrFYrisUiXZWzApbUpkqn0zg9PUU+n4fBYGg5NvulUChgt9tRq9Xg9/shCELLcdn7mEqlcHR0hKOjIxSLxSuCi5ynKIp0hTw4ONiSgEm2rdVqyGazODs7w/b2Ns7Pz+nkLV0okLFjMBhQq9UQCoUwODgIi8VCNQhyjplMBuFwGJubmzg/P6caXbtwbqfTiWazCb/fj8HBQbrSZ9+9UqmESCSCnZ0dfP36Fblc7sr4YBcFADAyMkI7KbKaNXlG5XIZkUgEm5ubWF9fRzqdRr1ep1qaRqOh5kydTkc1iGAwCKVSCb/fD7PZzAVCn7l3oUDswWRV9JBURTK4c7kcYrEYEokEFAoFQqEQRkdH4Xa7W+zd5DNySAc1KxhYOy67GpOu5hqNBt2GhbxgZrMZPp8PwWCQOsCJGcBgMGBgYACBQICq5dJrVavVtDZTPp+H2WxGqVSiNmGyDXmZybYejwdGo1F2UiLl04k5yGAwtExG5NjsStnlciEUCsHpdFKTDNmOnIPJZMLAwACGhoaQTqevRJOx941oCna7XTb0mUySWq0WVqsVLpcLuVyOrlJZbQFAi6ZgtVqh0+lkEwgVir+LKDocDjp5y40Rci/0ej0sFkvLdUvHBPFlEMFZrVbbaqaiKNKgB1LEUXqO7PUbjUZYrdYWwcWahNjFG1sYUg7pcyZ+DXJtZHEhiiI1h1WrVeRyOYyNjVHhzekv9xaSSgrhEdXR6/XeWw9m6STMrjBrtRqi0SiOjo6Qy+XgdDoxPj6OwcHBto7hdo5JdmJn+0dInWzsZwnE/kocuixarRZutxvT09N48eIFJiYmYDAYqKYAfJts7HY7fD4fPB4PFWasnVin08Hn8wEAvF4v8vk8dWaSiVCj0VBBTiYQkpjHRlqR/Wo0Gvj9fjx79gzBYJCGILP3gF3hazQa2O12BAIB+P3+Fl8B2Zac55MnT2Cz2aipo9Nq0mg0wuPxYHh4mJr32GenUqlgt9sxOTkJrVaLR48eUY1MTssDQE1SgUCAairss9PpdPB6vVhYWIDFYkEmk2krFMhntFotBgYGMDIyArPZ3OK4J8/a4/FgdnYWFosFuVyOPuN2/UaILykUCtExK712YmICgOHhYVkBJn1uTqcTY2NjLddOtlMoFHQhsrCwQDU1tmEWSdYsl8s4ODhAMplEPp9HLpdDpVK5Eokofb4PaQH5M9F3TYEMfrVaTR1Ver0eQ0NDsFqt9yoUgKv202q1ipOTE+zu7qLZbNIsZ7fbLbvaJrArKtZcQlbvJNSV5D+w+QxyQkWj0cDhcMDj8dDoIqJuWywWjIyM4Pnz5/jnP/+JiYkJugIjEUSsRkaiUNiJkawUHQ4HnUTYiBGpECPRPERIkC+pU1KtVlNNYnx8nJpeWN8E+xyk4b6so5U9T+KEHRwcpJNiJ6FAImWMRiOdxNhjK5VKWCwWGlFGTGLS58oeg6ysyblKtQ+i9RgMBgSDwRazlRzETER8HmRFzZ4r2ader6fXLg1QkO5fpVLBaDTScSY9TzKGhoaG4HA4WiLPpOfHLlbIok6v17cIRLJfvV6PUCgEs9mMmZkZNJtNqNXqlmdaLpephrC3t3dtIy05LZpzt9yb+YisokwmE0wmE5xOJ0wm062az/QCYsM/Pz/H2dkZisUiAoEAhoeH4fV6afYw8HdoIpkc5AQbmSRJFnKpVALwbRXHOtqkLzhrVvB6vRgeHobP54PJZIIgCLDZbJiYmMDz58/x4sULTE9Pw+fztdxHMpl2gkw8pOsdsWUTOr2MrOCT2y/RcKT7akencyWTmEqlgk6ng9PpvKJVdbq+dpMJuXaNRkMd5nImP3Z79jsryMnfiaA0GAxXHPty+5UzAUmPSYQyMcO1u5ab3ANyP8lzl7seuf0SIdZOU9ZoNHA6nXA4HPQZsT6VarWKSCSCs7MzWl4mGAxidHSUtu9td7+4UOgd91bmgqiWxI4sF+Pey+OT47C/kxem0WigVCpRDSGbzSIYDOLRo0d05cNO/MQ043Q6YbFYWmLg2S9SmjuZTCKbzaJer1PbsNlsvhL+yNp7DQYDPB4PBgcHabhirVbDyMgIXr9+jT/++ANzc3NwuVwdk+Buc5+kP98UOTv2XdBpku/3PjuVM/+ec5TTUnpx3WS/t9HUpWYe9tzkIq0ImUwGR0dHeP/+Pba2tqBUKvH48WM8e/YMU1NTMJlMLVp7O42NC4i75d40BY1GcyVOHrifVYB08ms2mzQEtVAowO12Y3x8nNYx0mq11DdA8izMZjPcbjddwZNkLTZyRKFQoFgsIpVKIZfLQaPRUHu8NJmKPR+y6iRahdPphMvlglKpxOzsLJ4/f475+Xn4fD5oNJqWUMpeTSDAVXNCu+NIaxX18jzIcdiJ6nvvg9ScR/Z5k3PrtH0nDaTd/jpt02kfN3m/pBqYnI/hOg2NmDDZZyMIAhKJBDY2NvDXX3/h06dPEAQBCwsL+OOPPzA7O4vBwUGqXV53DM7d0tfkNbmJv5uB1ctzYs9HFEVaW4is5ElM/9DQEOx2O0RRRKlUooXxSIy4QqGgE/z5+Tni8Tht0EPKXZAQRZJX4Ha7MTo6CpfLJauuS19+onqT6BtiBw4GgzRWnEyID0nF7qVAkHIfY0numDe5Zum70W6f7PY3Pa9unbTXbdft/+WEB8nwjkQiWF9fx/v377Gzs4NGo4Hp6Wn8/vvvePr0KZxOJx3L3IfQf+5NU+jWXt3L40qpVqtIJpM4Pz+nbTiJWYs4xOr1OiqVCqLRKBKJBI3/JiGXY2NjNMY/HA5jYmKCNuMh+yahrcPDw5ienobH42kxP0jvA/s7cfoSuzIxPbGlBqQv5H1OyPfxMvdDMHR7jJtc/2322c1nbqvhfK+mwVoB2IzxL1++4MOHD9jZ2YEoipiYmMDLly/x6NEjmM1mWudLq9XeWyn9X5meCIV2A7WdVnDdauSm3PRFZAft/v4+VldXEY/HIYoiLBYLEokEjo6OoFB8C1ElJSdyuRxcLhcsFgv8fj+Gh4eRz+eRyWRwcXGB8/NzbG9vo1AowGg0Ih6P4+DgAKVSCV6vF7Ozs5icnITdbgfwt5lFeg2sWYlEL5EkIFLHh/gj5FaoD0lr6Df3cd23OaacY/m2x/6efclpLdL9dbNfdsxWq1VkMhkcHx9jbW0NKysrOD8/h1qtxsTEBJaWlmhewu7uLlQqFTweD3w+X0v29V3dI05n7lQosGaYdv+Xmo7arUa+l+vsrexxRFGkWcGHh4dYXV1FIpGgkSMkhI4km9XrdZRKJZhMJgSDQbhcLjidTuoszmazEMVvZRM2NjZwenoKrVZLncykjMPi4iJCoRBMJpOs/VYKW268Xq/DYDDAYrHQBKJ2GkY/nPad/t+Pibmb592rY7Tb7qbH/h5hIve73P66OUand1hOaMjtn33Hc7kcdnd38e7dOywvLyMWi8HpdGJubg7Pnj3D3NwcAGB7e5sKhbm5OVpNWG5sc3rHnWsKco1AgM5hhu0gK3hCNyuF2wwedkLW6XS0dhBJx2fVYFJ2weFwYGBgAHNzcxgeHobD4aCd45aWlqBSqWgDnmq1SstN+Hw++Hw+TE9PY2xsjCZnSatSyglMVijUajUaCittY8p+9j4n5H7zM1xrtw7pm372LgRUuwUV+R875mq1GjUX7e3t4ePHj1hfX0cikYDP58Pjx4+pycjr9eL09BTn5+dYX1+niYSzs7O3OnfO93HnQqGT/bKbSAWCdLXSbr+3USnlVuUkq3N+fh4ejwfValW27g0RUmT7QCDQEgaq1+sxMjICg8GAdDpNV8rLIbgAACAASURBVPWiKNIIIqfTSZPQWLNPu/shtc2SshPSyf97bcA35aG8rPc5UfeT257HXWggBGnEGdmWbE8KXCaTSezv79NCiIeHhxBFEfPz8zTklARvkCAMUlRSpVLRpLzvNYdxbk7PHc3EDi4IAkqlEq0GKorilUmXZKuSGu3sSp1E1fTqBVWpVDCbzRgbG8PQ0BAdgNKa/6wJjCT8sKG1SqUSdrsdJpMJlUqFZi8DrXWeiB+A7Ldb2ExpVpvhcO4bUfyWnJlOp7G9vY3l5WWsrKwglUrBaDRibm4Or169wuLiIrxeL82EJiZZkkHOvvec/nPnPgX2ZxKpQyqMRqNRJJNJFItFWo+fnRh1Oh1sNhs8Hg+cTidsNhuttc6WgLjrwUL2RzJQ2b91Upml25GfSXE04pNg/9+uSqaU6wQFKQfBFmO7r4guDqder9Py7tvb2/j48SNWV1eRSqXg9Xrx9OlTai4iZTrIQg/4e8FFijs+tOKYvxJ3JhTYCYk4ZAuFAhKJBE5OTrC3t4f9/X1cXFwgn8/T2irspGoymeD1ehEMBhEMBmlRNL/fT+sikcmvFw5EaTXObq+VFRbksySTU66hCXuM26jEovh3jSDSQa0X94XDYWm30CBF7eLxOL5+/Yq//voLX758QSaTQSAQwPPnz/H7779jamoKTqezxU8nXSyRL2kjIk7/uDOhQB4g6Q+QSCRwfHyM/f19nJyc0NLTpB+A3GRYKpVom8VwOAy73Y5QKISJiQmMj49jYGCApr5/L538Hp1CO9nv0p87/Y3dN3vc2zoWb6J1cDh3ifTdKJfLuLi4wPr6OpaXl7G8vIx0Oo3h4WG8fv0ar1+/xszMDO1IKC0JQvZHBAXbHInTf24sFDqFqgHfui3F43Fsbm5iZWUFu7u7KJfLsFqtGB4evmIvlDquSAgbaT25v7+Pw8NDPH36FEtLSxgZGWnpL3zblTb7uU42+XaCQCo85MxM3URwXBdKKT1X8j/25bluXxzOTWlnImXHNgl6iEajWF1dxX/+8x+sr6/j7OysRUOYmJiQrYAsJwikYeuc/nMjodBuggJAQyVPT0+xtbWF7e1tJBIJGAwGWl00EAjAbDZf6TtLBgXxQSQSCZyentIyEbFYDB8+fKDlJcbHx+F0Oq/Umu8WqdlKei3s9cpdN3vOnfIDegXrlCf3kr9EnLuCjbKTe09I4EShUEA4HMby8jI+fPiAr1+/QhAETE1N4fnz5/jXv/6FqakpWCwWGmUnp2WTUO96vU77acj1kuD0h66FAhkocisI4JuGEIvFsLu7i/39fVQqFYyPjyMYDCIUCsHlctEaQHKp62T/jUYD1WoVhUIB+XwekUgEW1tbtP0gqflvtVpv5XyW8x+w/2PDP9tdazsT0F1OzO1CcMl9Ih3NTCaTbCexdufK4XRCqoFKtWhSQbhYLOLk5AR//fUX3rx5g0gkAr1ej+npaTx79gxPnjzB6Ogondyl74ichUChUNDqAGyYt1QoSP1ynLvlu3wK7MMRBAGZTAbVahVutxsjIyO0j7HL5WrbslC6PzI4RFGkDdpdLhe2trZweXkJpVLZ0g9ZbjK8bqDcxcpeGnV0033cZPtO+7/t8TkcOdotRgDQmkSpVAr7+/tYXl7Gn3/+Sf1/MzMzePXqFV68eIHh4WEYDIYrZbXlYCP1rFYrrFYrTCYT1YLlTLic3nEjoSA1uxC1DwDtGDU0NAS9Xg+bzQar1UrLRNx08lIoFNBoNHC73TAYDPD5fIjH49DpdC2dx+4DuTBUln6szskLSnI+2sEFBuc2yJlYRVFENpvF/v4+/v3vf+P9+/e4uLiAx+PBkydP8Pr1a8zNzSEUCrV0Y7sO0vWOzB0ej6elLwkXBv3lVo5m8rBJQhrwbeB4vV54PB5qHiITF4ArbRW7PQ5pyUiazACgrSvlBi3hptpCN9vImY3u4jjX0e6lYB1z0u25BsG5De1CpUXxW2G78/NzfPr0CW/evEE4HIbX68XLly/x22+/YX5+nkYItsvUl5qLgG85N06nE7OzsxgeHobRaKTtbq97p7lT+u65kVAgzqB8Po9EIoGLiwuk02mIogiv14tQKAS32w1RFHF5eYlkMgmlUgmXywW32w2z2dxx/3K2fPLQSUw+GbAPYSDc1zmQ6yf+GZ7RzLlLpEJBFEUUCgWcnJzgw4cP+PjxI2KxGDweD169eoX/+Z//wczMDHw+H/R6PYDWbmxyizbp/0j5d+IvYyv/cvrLjRzN9XqdOphWVlawvr6OdDoNheJbb4DHjx/j0aNH0Gq1iEQiOD8/h0qlQr1eh8VigcVi6ThACFJHqTRvQM530O/B00kg3IXjWXqfWIEpjT6SZjRLP/sQBCjnx4O88+VyGaenp3j//j3ev3+PWCyGQCCAxcVF/POf/6Q9QaRtYNtF+Mn5CEifaDK2pZ9jz4ndFx/bd0/XQoE8zHK5jMvLS5yeniIej9NmGKTfKgBYLBZks1kUCgXodDpaEO6myIWvkXN5KLQL0e0lCoWCCgW2hhL7f77C4twW1jycyWRwenqKtbU1vH37FicnJzCbzVhcXMRvv/2GhYUF+Hw+2uRJbj/S3ztpDHyiv39uJBTIZKPVajEwMAC9Xg+j0Qi9Xk81gnQ6jWKxiFqtRiuJWiyWlnIPZH+dJi65sLN2tnO587xuv93Qzfl1+/luNKTrjkGujZQBIKYjdt+9CI/l/Hx0GoekR/nl5SUODw+xtraGzc1NRKNROJ1OTE9P49WrV5idnYXP52vxFxLuevx1Cg/nY/1uuZFPQalUQqfTwePx0EmeRBhVq1VcXl4iFoshm82iVCpBr9fDYDDAbDZDo9G0mIGumxzlVg5y4aftfr+O644vVXHbqcDtjttu/7ddwbMCgQgFXiOGc1PahXey47lWqyGdTmNvbw9fvnyhhe2sVivm5ubw5MkTzM3Nwe/3Q6/Xt3xWauqVg91Oah7tFDxC/s7Hem+5sVAwGAwYGBiA1+uFVqullToFQYDH44HZbMbFxQVSqRR0Oh3sdntLeFmnlT/Q2R7fbxu5dKCyXOfcZR3mcg6zTtd+k/2ylWY5nOuQBnNI38lms4lkMonNzU28e/cOOzs7KBQKCAaDVCCMjo7C4/G0VAC+aUIZOweQ0HbinOals++XGzmaiaag1WoBoMWModfraRai3W6nDmin00lb6smtUqQhau0Eh1xSzW0HTbsEHel5tTP/3MREJRUscvdAqj21u36SaUpeIIVCcW1CIIdDkAYrSKnVashms9jZ2cHbt2/x6dMn1Go1jI+PU//B4OAgLBYLnQMINxmD0m1JldVCoQBRFGE0GmWT18hn+XjvLTdOXpP6BoiUVygUtJWlwWCA0+lEs9mEVqulTih2NSA3sbNdzeSESD8HAzm+dMXSTYYm8LczuJ3G02g00Gg06DFI5AX5bDvNgggH8lkO57aQCZa0jCWlr5eXl7GxsYFGo4Hx8XG8fv0az58/x+DgIIxG451qpqL4rXJBPB7H3t4eKpUKAoEARkdH4Xa7ef2je+DWZS7k7PtkRUzCJMn/Go0GCoUCisUiLXplNpthNBpb6ptUKhVUKhWIokg1EiIg2Am2X6sFhULRsjoXRbHFwSu9DwRWHWbryAB/J/QJggCFojX/4ibOaFZz4C8M5zaQdzOfz+Ps7AxbW1t4+/YtDg4OoFar8eTJEywtLWFxcZEGlrTTsm8Cuw8iFGKxGD5//ox0Oo35+XnYbDY4HI4rYa6c3nOj6CM5pNVOiWAgZg0iEE5PTxEOh1Eul2G32zE2NoZAIACdTkcn0Xw+j/PzcxSLRZjNZrjdbtjtdro66YcgINdABEG5XEY2m0W1WoXBYIDD4YDRaJQt6kc+32w2USwWkclkkMlkqKAj/y+XyxAEAU6nk6b2A50zqDs5tNvlJ8jtk/NrI9VCK5UKIpEIVlZW8P79e2xvb0Or1WJ6ehovX77E/Pw8gsEg1fY7+dluA9lfqVRCIpFAIpFAIBBoeWfIdnws94c7b8fJPshGo4FKpUITX9bX19FoNDA1NQW73Q6fz9diJqpUKohGozTfYXh4GDMzMwgGg1fMVr1CFEUUi0Ukk0lEIhFEIhHEYjEolUoMDw9jenoafr+/7QqGhPNFIhFsbGxgZ2cH6XSa1ogi2Gw2PH78GIFAoG3yWTuIkCAZ5t2atDgcsmAjmvn5+TlWVlbw9u1bHB4ewmQy4fHjx3jx4gUWFhYwMDAAnU7Xt+xiabg1wE1H/ebGPgUp7aQ5CW0j6fEfP37ExsYGnE4nQqHQlW1VKhWNOojH4zg/P0cikYDZbKar825CWW8L6+wtFArY29vD+/fvsbW1hUgkApfLhVevXsHlcsHpdMJoNMrup9FoIJfL4ejoCMvLy/j06RMuLy9Rq9XoNk6nE/Pz85ifn29pTSh3PtK/sdFGjUYDtVpNtjmJ3P44vwbtNEU2FJSUul9bW8O7d++wv78Ps9mMpaUl/PHHH1d6KUtNPtJ93/Tc2oWcq9Vq6HQ6Gq0ovR5O7/nu5Xe73AFRFGmf5mw2S80lU1NTePToEdxuNzQaTYvj2Ww2IxAIwOPx4OTkBPF4HLFYDIVCgfZ27TXsxEvKBB8fHyOTySAUCiGXy6Fer7dcJ/vZer2ORCKB8/Nz1Go1+Hw+uFwuAH8XsHO5XJienkYgEGipJtkpIkouAkO6opK7Fs7PRbf+JilkLBAz7fHxMVZWVvDhwwccHx9TzfVf//oXFhYW4HQ6WxZKvTbfkGOx/sNOJlP2mjh3y42FQqcHwXZXIn6CarUKpVKJUCiEqakpPHv2DNPT03C73dBqtS29WPV6PQYGBjA8PIyjoyNUq1WUSiWUy+Wem0jYgWa1WjExMYF8Po9yuYx8Pg9BEFCv16nDmWzPnpdKpaLmsmg0CrfbjcePH8Pr9cJkMtHjaLVa2O12uFwuqnFIV0wEtt2mVECo1Wpa5kJOsHxv6C7nYdEpnFS6HYGd2ElS2sHBAT58+IB3794hFovB7XZjaWkJL1++pJ3SpNrrXQV3yGkdcl/Sz7DfuRbcW+7UUN/ugZN66X6/H6OjowgGg1dikMkqAfi2mhEEAeVyGdVqtaV2Ui8HAFkNkZruY2NjiEQi2N/fRzwel92efCftRDOZDO0tPTAwQHtTkwqSpOR3p5BVlnbbstFH7aKQ+Mvya9HOvCOKIgRBwOXlJfb39/Hx40d8+fIFkUgETqcTi4uLePnyJS1sx4ZHy5l77vJ8pUKAaMDS8c7Hcv/omfeW2AdJqQuVSoVyuYx0Oo1cLgebzdbSE6FeryOXy+Hk5IROwsS2KFdbpZeQczcajbQLlE6no6Wq5QZos9lEqVRCLBZDOBzG4eEh0uk0dDodyuUyhoaGaDQV6VPdbvUl9bfIrZCIU/7w8BC1Wo0mCUr7X/OX6edFzswo/R+JdkskEvj69SvW1tawtbWFQqGAsbExLCws4PHjx5icnITdbm8bVdcvlEplx/eM03t6IhSIxqBWq2G1WuHxeBCPx1EoFHB4eAilUnklqqFWq+H8/Bxra2vY29tDuVyG1+uF0+mE2Wy+EonQa/smGZw6na5FOBFnuHSVQ14+UhCQfImiiFgsBr/fj0AggJGREQwNDcHr9bb0r2Wvi7XhskKzXC6jVCqhVqshk8nQntUjIyOYmJjA0NAQnE7njbpecX4OyPMm5kaiuVarVdo7/dOnT9jf30exWEQoFMLjx4/x5MkTDA0NwWaztXQ6ky5EOvkpboI0dF2qDbClW/gYvh96IhRYm7fVakUoFEI+n8fu7i52dnZweHhIJ0RWKFxeXuLo6AjZbBY+nw+zs7MYHR2F1Wrte8MN4hMhfgTg71pDchFXRIhYrVZMTU3Rl7FcLmN/fx97e3uwWCy078STJ08wPj7eVWtREtF0cnKCg4MDJJNJJJNJrK2tIZFIYGhoCE+ePMGrV69oPSrOrwcZh+R9SiaTODo6wvr6Ora3txGJRKBSqTA1NYWlpSUsLCwgGAzSyD7gekd2s9m8E629nTAg7wJPyrw/epKnQB4miY7xeDwQBAGFQgGxWAybm5tIp9OoVCot4ZRk8h0eHsbCwgKWlpZoaj3ZP3D3ds12f6/VatTRXavVWrKUpYJBqVTCbDZjfHwcFosFY2NjODg4QDgcRjQaRTgcRiwWw+npKXK5HNRqNRwOB8xmc4sZjd0nWUmRF5yo/5FIBPl8HoVCAZeXl4jH46jX63A4HPD7/X2L1OI8LMgYIlFzOzs7ePPmDT5//oxUKgWPx4PZ2Vlax4itdiw1WUr3KdWKv+cdZPdJfAgkMVSlUrUkynH6T0+T14Bvq2uj0YiBgQFUKhWUy2VqBsnlcjRzkUyqgUAAz549w/PnzzExMdGiJfTDRs4ORpJ8Rxze5DsbRsuq23q9HlqtFjabDV6vF4ODg4hEIjg7O8PXr1+xsbGBk5MT7O7uIhAIYHx8HG63GxaLpeUesudChEImk8Hx8TEODw+RTCapAC0UClAoFLi4uEAsFkOpVLpSX4rzY3KTSZEdK6lUilY5fffuHeLxOBwOB81Sfvz4Mfx+P5RKJV3o3FeYJ/HfkTDtYrGIQCDQNg+I03t6LhRIyKnBYMDw8DAtvT01NYVoNIp8Po9GowGlUgm73Y6hoSFMT09jZGQEZrMZCoWC/v+uBmyn/Uidd8SERKKhiHZDXkLpioZ0RHM4HDCZTBgcHMTU1BQmJibg9/vx3//+F5eXl7i4uMDp6SnVhKSrJ6mDmZyHXAYzWzSMq90/BzcJPSWLJkEQaFG7v/76C58+fUIqlUIoFMLi4iJev36Nubk5mjfDFlWUs++34y7eQ/a4Go0GXq8Xjx8/Rq1Wo425pNGMnP5wZ0JBbqXBTphqtZr6EYhgIM14SMgpKb8tdcKy+5ce46Z0+1kywRJIVVN20m2XE0DsozqdDsC39qRE48lms/j8+TMymQw1A9Xr9RYTknT/KpUKRqMRDoeDVqEtlUr0eBqNhhbWk2vPyflxkZsQpaZL4FvZ60QigY2NDSwvL2NlZQXxeBxutxtPnz7Fy5cvMTs7C6/XS+uNdRNu2u3fbgsxH5FmXaIo0uoG7PXd1fvPuZ6eRR9Jf1YoFBAEAZVKBbVaDSaTiWY1V6tVpFIppNNpXF5eotFo0ImuXRmIuzzH6148ouJqNJq2PZHl9kN+12g0cDqdGB8fx8XFBeLxOC4vL6n5jAgFpVLZInSIRqLRaKh6TWoxpdNpWprc5XJheHiY1rpnV1hcQPy8sPkxl5eXWFlZwf/93/9hY2MDuVwOfr8fS0tL+Mc//oGpqSna7+Q25sW7noil74parb6yMOJawv3Qc6FATB+VSgWJRAKnp6eIxWIwGo2YnJzE4OAgbeUZDodxenoKl8tFV8cGg4EOll4NEumkziaLkYlVq9XCZDK1JKDJrdjaaUxKpRJWqxVerxcejwfFYhEAqPYhTe1nr1WtVsPpdGJmZgbpdBq7u7s4OjpCs9mE3+/H7OwslpaW8OjRI9hstivnw1dWPx7XjXUiEKrVKtLpNL5+/Yr//ve/ePv2LfL5PEZGRvDy5Uv8/vvvmJ6ebgk+kC4W2h2nF+NGoVBcMXH2IjGOc3t6XnpUFEXk83kcHR1hdXUVGxsbiEQiCIVCUKvVNALCYrHAYDCgUqng5OSERuWQGGqSZdnvSY5M1Gq1Glqttm0inZwfQAprA5bmPXRCqVRCr9fD7XbD5/PBZDLB5XLB7/fjyZMn9EsaqSXNeeD8+JAxRjSEVCqF1dVV/Oc//8GnT59QrVYxMjKC169f4/Xr15idnYXT6YRaraY1u6Rjodtw1LtGerz7Og9OK3cmFKSOKgB0JXNxcYEPHz7gv//9L3Z3d6kvgS2ONzAwgNnZWdRqNezt7WF/fx8Kxbdubnq9HiaTqW9hanKJae1KSkg1A7nkHPL5fD6PRCKBXC5H6x+ZTKaWRkNy58L+TCqjOhwO/Pbbb/jf//1fTExMwO1202RAzs8JGU9E8yZJaX/++SeWl5chCAIWFxextLSEp0+fYmxsDFarFQBotJrce3ofsO+ydOHC/Qf3y53XPiLfRfFbldR8Po9wOIzt7W1cXFxAqVTCZrNBp9OhVquhXC4DAIxGI/x+PyqVCnK5HA4ODnBycoJgMAi32037PPcTMpmTibharUIQhCu9EYgJiOQyED8AydMg3dYSiQTOzs6Qz+fhdDoxMDAAi8XSogWR47LnwL4YJAqJRHNNTU3RZkXtWnTyF+vHh50wy+Uy7dfx6dMnrK6uolwuY3JyEr///ntLlrJarW4JmLjvVbh00UR+Ju8P8HeSKM9qvh96aj4SBAHpdJqWv/Z4PPB6vTTawGq1tgwQg8EAn88Hj8eDg4MDpNNpxONx5PN5OByOKwX0egkrDIhAIKUrBEFo8QOQuk3EAaxQKGC322Gz2WAymdBoNJDNZnFycoLLy0totVqEQiGEQiFawqPbKrDkBSLRTXq9nkZpdQpr5fzYkEVWuVzGxcUFjTLa3t5Go9HA48eP8erVKzx79gyDg4MwmUz0fZGOgYdmTmw2mygUCkilUqjX6zCbzbTjIqf/3HmeAvlOBnGpVKKtLF0uFyYmJmjSjMViaUlMI58lg79WqyGfz6NarcpGI9z1wGYnVSIUSI6ESqVquR7ydzKhp1IpfP36FQcHB6hWqxgYGMDQ0BA8Hg9EUUQymaSa0uDgICYnJ+H3+6/0ZybHlzqq5RzQbPirNCyWdZZzfgyk7w+BaJrZbBYXFxfY3t7G6uoq9vf3Ua/XMTU1hd9//5128mNrhbV7/tflIfRy3LD7Ju/Z5eUlvn79ilKphFAohMnJSSrYeGfB/tJTTYFMTFqtFhaLBXa7HR6PBwrFt85POp2upeNasVhEOBzGwcEBYrEYDAZDS78FoD+rHGK7F0URRqMRwWAQNpuNJv0QMxI5b+L4K5fLiEajiEQiODo6QjgcprVliFlpcnISwWAQ4+Pj1AHY7t6x38l5tfsi20oFA+fHgSxGyBgnZkVBEBCJRLCzs4OVlRXs7OwgmUzCbDZjamoKr169wtLSEvx+v2zJlIc2DshCkPjn2DIu+XweKpUKg4ODD+68fxXuXCiwKxxSIM7lciEajdKHTwa6IAgwm80wGo0oFovY39/Hhw8fsLa2hnQ6DYfDAZvNBoPB0DcnM3sNRqMRQ0NDUCqVqNVqMJvNcLvdUKlU1I9A/AZWqxXBYBCpVArVapU6lZVKJdxuN5xOJ7xeLwKBAPx+P6xWa9saL9/zUnNh8GPCTpIkZFQUv/VRjsfj1Fz06dMn5HI5eDweLC4u4sWLF5ifn4fH44FWq6X7Ah6eMADkc5gajQYKhQISiQSKxSL1Mz7E8/8V6KlQ0Gg0cDgcCAQCiEQiCIfDVEWs1+vQ6/W0WBwA7O3t4fPnz4hGo/D5fBgfH0coFKLZwP2AnL9Wq4Xb7YZarcbg4CDNtDQajdSBB4AKBqvVivHxcej1eni9XqRSKSgUCioUXS4XPB4PrXWkVqvbmsLamcnaTfj85fmxkS4KiPZZqVQQiUSwubmJDx8+YHNzE5VKBUNDQ1hYWMCrV68wMzMDn893JQP4R4OU+SbOZr64uT96XjrbZDLB5/MhFAohlUrh4OAA5+fnKBQKUCqVCIfDsNvtaDabiMfjSCQScDgcWFhYwNOnTzE0NNRSG6gfA4VEDzmdTthsthaVnqj1xLnL1nYaGBiAw+HAyMgILUNBnMGkWB4rTG5yPazjmL8sPwdyYc1k8VOpVHBxcYG1tTV8/PgRu7u7qNfrmJ+fx/PnzzE3N0cXTMQPd50f4SHQTitm/WO8wc790rPS2WzSl91ux8jICG2tWSwWabmLXC5HK3s2m014PB7MzMzg+fPnmJ6epuV0pXbzXg0a6cTPZoHKvcRE1ScJaQaDARaLpSUunKz82Oip63wjD90uzPk+2oUgN5tNmoOwtraG9+/fY2dnB/V6HYODg3jx4gVevHiBwcFBWgaGmJ4A/FB5Ku0CKNppOzx/oT/0zNHMCgdimzebzfD5fBgeHkYkEkG5XG5ZMev1ethsNkxMTFC1mO1M1q+BIBfCJx2QUrutdMXDdrGSfp7DkULGiiAIODs7w+fPn/H27VscHBwAAB49eoTnz5/j2bNnGB4ehslkuhKV8zNMlPw9uX/uPHmNDEwSasaupkkGL9Ea2IQwQRAgiiLVLIxG4xWtA+j/akGq/chdq9xnWOTOXe53uf/JRRS1W2FxfgzkxhTRoCORCD5//ow///wTOzs70Gg0mJmZwe+//46nT58iFApBq9XKRp39CEKBXSgBV8d5u2uRe3d+lGv+0eiZpkDs7fV6HZlMhiawkfLYPp8PZrOZ1kU6PT1FJBJBpVKhdnnS7F6uR3O/uOmkK31Zyd/Y3/txHpz+0+65E+SeP8nZyWazNOT0y5cvuLi4gMPhwNzcHG2dGQqFoNfrZXtm3OVY6wests3H9cOiJ8lrwN9CoVAo4PDwECsrK4jFYnA6nZiamqKD4vT0FG/evMGbN29wenoKURQRCoUwPT2NxcVFTE1N0QzN+6KbFUk3L+FtX1S5nAS5/bITw0OfFH425J6N3AKBwIZjEoHw73//G+/evUM2m8XIyAhevHiBZ8+eYXR0lBaFZEusXLeafohc5y9oN247aeV8rN8tPW2yw7aR3NzcRCqVwvj4OMbGxiAIAnWmLS8vY2NjAwqFggqAy8tL7O3twWAwXMlV6PUguE3YZzdOYz54f066XZ1LTUakSOL+/j6Wl5exvLyMo6MjBINBPHnyBK9fv8bIyAjsdvu1VYLlzI0PEbJYBFpNQCTqiA3uYD/D6R89KYgHgDrNUqkU7Slst9sRDAYRCARoOOr6+jrC4TB0Oh1mZmbw7Nkz6PV6hMNh5HI5pFIpFItFNBqNttm/veQ2A/K+/B+chw2r7dXrZN5RvQAAIABJREFUdRQKBRwcHODDhw/48uULstksBgYG8Pz5c7x8+RITExO0DMrPZj5kr4X0cXe73ahWqzSPh3M/3GnpbBZR/FYqolwuQ6lU0mqni4uL8Pv9yGQy1Jeg0WgwOzuLP/74A0+fPqUhq5lMhu6n32riXRzrexPN2q0MO00QXPj0H+mk3WklL4oi7TQYDofx5csXrK+vo1AoYGRkhJqNSNlr8vx/JjMJqykB3/KZXC4XpqamIAgCfD4f9Hr9le05/aHntY9IqQsSdTQ2NgaDwYDt7W2sra0hHo8jGAzit99+w6tXrzA+Po7T01NYrVZUKhXa/vKhq8X3Bb8nDwt28pZGjQHfJsJ0Oo3V1VV8/PgROzs7aDabNEt5enoao6OjtFOanFOZ3Td73B8BOQe5Wq2m1ZObzSYcDgevkHqP9KTMBXnwGo0GdrsdLpcLxWKRVhMtl8vY3NzE0dERVCoVpqamsLCwAJ/PR+2spVKJ5i6QwnnSkFAO5yEiFQxkpd9sNpFMJrGzs4OPHz/iy5cvEAQBMzMzePHiBRYXFxEKhWA0GjsKhJ8Fco/YhSMREtx8dH/cqaNZGiGj1WrhcDiQyWSQyWSwv7+PnZ0dpFIpHB4eotFoYHx8HLOzswgGg2g0GgiHw9jd3UUsFqPlIdiOYv1So7sxBbDc9Jy6edlZkwOZVEghPjJh/MyTxkNEblxc52gmHQhjsRi2trbw6dMnHB4eQqPRYHx8HM+fP6cCwWq1UmesNDmNPc6P+tzJtUnNbaQ9rTQHhy/++k9PylwQNBoNrFYrHA4Hzs7OEI1GEY1GkUwmoVQqMTU1hRcvXtBCcslkEnt7ezg6OkKxWITD4YDZbG6pJvojDhS5jOjb7IN0XWvXYY1z/0jj70kF0Gg0irW1NXz58gVHR0fQ6/V48uQJnj59isnJSXi9Xuh0OlpLix3nv8KzZt+RH6GG089Mz3o0i+LfVUXdbjcCgQBSqRQqlQoUCgW8Xi/m5uawuLgIr9dLo5WIH2FgYADBYBAOh4NmcPYjc7ObhJqbvqS3bRIiXYGS1SMRCnLn8aMkL/1IdJtkxf5fFEXUajUUCgUaZff582ecn59TDeHZs2eYmZmBy+WidYzIc+uUrHnTWP6Hjlx2Mvch3h99abJjs9kwNjYGvV6P0dFRCIIAp9OJwcFBWt+IhKINDg7CbrfTzGe3200b25N99hK5ybab6I92VU/lks5Y4Xabl74fwpHTmXYCmUzmpEXr2dkZlpeX8ebNG5yfn8Pr9dJKpzMzM/B6vdR+zj5T9nu3i5Af3aykUqnu+zQ46FGegnQC1el08Pl8cLlcNCNTpVLR5vbNZhM6nQ5erxculwuiKFJnE6lAKj1GL5D6Ra6L8JCuDMl3uZeb3Yb0WO50HgR2X0qlsuW+yGlnXFj0lm5CgQVBQDKZxMHBAba2trC8vIyDgwPYbDYsLi7i9evXePToEVwuF22Mw2qT7bKfu+FHePZSExvxudTrdQDffJFsmXlOf+m5pgCANpnX6XRXtiETpEKhgFarlZ0siZ21H5nM7RyIrMCTEwZkO2lSDguxMbOfY8tpX3deREDy3sv9pRvzEXk+zWYT2WwWm5ub+PPPP7G2toZcLodgMIilpSX89ttvtCQ8EQjk87+CQJeaN4mZLRqN4uTkBPV6HcFgEKFQCDab7ae/Hw+RvohiOfNJO+er3Gr8PpLWpCuZTtEmUqcga/sn9n+yyu8mjb+dSelXmDQeKtf5mOr1Om03u7Ozg3fv3mF1dRWpVAojIyP45z//iZcvXyIUCsFisdBCeAB+SSHPvi+CIOD8/Bzv3r1DtVrF0tISbDYbjcTi9Je+6WfXrbKk290m9O97kQoCEv5JJnbW5CWXM0E0gUqlgnw+j2w2i0wmA0EQYDAY4PF44HQ6YTQaaYP164SenGbCQ1H7SzstkcBGGG1sbGB1dRWHh4fQ6/V4+fIllpaWsLi4SLsIkjpGbKQRe5xfBRKe2mg0kM/ncXFxgUqlgvHxcdqWk9N/7tVo91BfAjJYC4UCUqkUstkslEolnE4nzbyUc+opFArU63VEo1Hs7u7i4uICyWQSgiDAZDJheHgYjx49og2HNBrNjSd3ri08HBQKBRqNBkqlEk5OTvDlyxcsLy/j9PQUJpMJT58+xYsXLzA9PQ2n00nNo7+qEGgHWUxVq1XakZEveu6P7xYKUru7nGnoJvvo9P9O29wF7IqwWq3i4uICW1tbODs7g8lkwtzcHKxWq2zFVmIqSqfT+Pr1Kz5//oxkMtliesrlcqjValAoFNRmSiIuugl3bHcf5HwcfMK5e+R8TGwv5Xfv3mF/fx9msxnT09O0l7LL5YJare7om+jXGH9o3CYKj9NbbiwUurH5yzlsb7Mi7iWdBiGpcb+9vY0///yTljN2OByYmJi4cn5KpRL1eh3JZBLb29v48uULTk9P4XQ6MTQ0BI1Gg0QigWQyiY2NDTQaDSiVSuj1ehiNxo6hhFLTVL1ev5Kz0U5A8Jfq+2Cj0Nj7SgR5o9HA5eUl1tfX8e7dO2xsbECr1WJmZgavX7/GzMwMPB4PFQjdvgP99qPdF3JmuXbjmtM/biQU5AY2magEQaBqH0lZZx2r0mScbkL72ONKf77tgOnm+KR5+uXlJc7OznBycgKlUolMJoNKpYJms0knBjJhlEolWhd/f38fFouFxqNrNBocHx9jZWUFx8fH2NragsVigd1uh0ajoRnbna6ZRGnU63UaqUX8EnLOcek1cbpD7r4TyH0kgQTRaBSbm5v4+PEjTk5OoNVqsbCwgNevX2N+fh5Op5OGXHNh3R5pGLg0DJ3TX25lPmIHeK1WQy6XQyQSQTgcRrFYhM1mg8fjgcfjoRUP2QQ0Kde9JKxJ6i5eqOsinxQKBXQ6HY2A0Gg0qFartKR3vV6HRqOhA7hcLiMej2NzcxPr6+soFouYnJzE6OgoQqEQFZLFYhHJZJLWfhoYGJD1LciZ4dgSF0QgkJpQ15kj2GvkyCMX4NBu3FUqFcTjcayuruL9+/c4ODiAXq/H9PQ0/vGPf2B+fr4l6fImz+JXek7svWbDrX/FaKyHxHf5FEgEhSAIiMfjWFtbw+npKSwWC3w+HwYHBxEKheDz+WCz2aDX66HVamk5bIJcOOp92saVSiUsFgv8fj+GhoYQiUSgVqup34DNXhZFEcViEefn59je3kY4HEYgEMDo6Cj8fj90Oh0tDTwxMYHT01Nsbm7i9PQUJycnCAQCNERRDtZ8QSKgDAYDANDSCO2qaXL/wvdD7h15BqTS6fr6Ot68eYPt7W00m03Mzc3hH//4Bx4/fgy3200TrzqVOOHP5RsKhYJ2XeP35P7pWiiwKp50VavT6WA0GqHX61Gv1xGPx5FMJmlafyAQgM/ng8fjgcvlgt1up6F50uJXxHwjt3LuBXL7VSqV0Gq1MJvNsFqtMBqNNNdAOnmz4XRnZ2coFAqw2+0YGhqi5gNSA8rhcMDlckGpVOLy8hKRSASFQqFF85ATjHIrKiKgiPbQrkQAf8m6R848Ko2nLxQKOD4+xtraGvb29iAIAkZGRjA/P4+ZmRkMDAzIasXs+P6Vnwn3Izx8vtunoFarYTKZMDg4CEEQYLFYcHFxgYuLC5yenmJ/fx9arRZOpxMjIyOYnJzEyMgI1R4MBsOVkrntEtn6NWDI5KtWq6HRaOhLrtPpaJ4CQRAEZDIZRCIRxONxCIIAl8uFYDAIq9VKhYhKpYJOp4PBYIBSqUSxWEQmk2kRCp2umQiMWq2GYrGIfD6PSCSCZDIJvV5PhYrctfAX7Xo6OYJJ6Gk+n8fh4SFWVlawsbGBQqGAoaEhLC0tYX5+Hn6/H3q9nmoUZL/8/l+Fh5w+XL47JJWs9gcGBugK+fj4GPv7+9jb28Px8THS6TRtnEMmM7fbTTUHq9UKs/n/sffdT201S9qPUM5ZIAFCBIHJxtjG4b67d3fvP71V+9W9632DsbHJNmAyCOWIcvx+cPV4dDgS2EYEc54qClA4Yc5M93T3090G6PV6aLVaJuCEfvVOLK52i5b3J1PiGtUdovfL5TLrJZ3NZiGTyVgQmSwn/jx0DMqDSKfTKBQKjObKg5QTKYN0Oo1oNIpoNIpwOIzl5WU4nU7UajX09fVBr9c3meCSMPp+8GNGc5AaP+3v72NxcREfP35k7TPn5+cxNzeH/v5+aLVaUUtPwuUQ80JIuB1cSSkIH5ZQkBIbRqPRQKvVQq/Xw+VyYXBwEMFgELFYDNlsFrlcDul0GkdHRyyhi9xLXq8XPp8P/f39sNvtF0zwTrI3hMfmJ2i77leNxtfyBsViEYVCAY1GAzqdrimwTkJdJvvaUUqr1bKYQCqVQjgcRjabhd1uv2At0d9UcfP4+Bj7+/uIRqMIBoN4+/Yti2ksLCxgcHAQer2+aYykuMI3tNsACF/n3YTFYhHHx8dYWlrCmzdvEI/HMTY2htevX2NqagoDAwMwGAwsviNmnUmB/2bwrlKha1pSDLeLa8toJuFJTbhtNhuGhoZQKpWQz+eRTqdxcnKCz58/Y319nQm24+NjWK1WuN1uDA8PY2hoiOUEmM1m1mTntihqfO6CWIMb/nUS/LS7FB6DGEMajQZyuRyVSgWFQgHlcpl9jl8s9L1SqYRoNIqdnR3WuS6fz2Nvb4/VzzEYDDAajYziKkEcl1WoBdD0/DKZDA4ODrC4uIjFxUWcnZ3B4/Hg2bNnePnyJWsyL2bVtnKDSvgGssINBgM8Hg/K5TKsVqtUIfUWcaWRbxWMJQgXArGLNBoNjEYjarUabDYbC7S63W4cHR0hHA4jmUwil8shHA4jnU5jZ2cHTqcTfX19GB0dxcjICFt4/Ll+Bu0SvoSf40taVKvVpgxlep2CvqQgWjFO+ECxXC6HSqVi7jLh5/jjl0olJBIJHB8f4+TkBOfn5wC+CrhwOIy9vT3s7OzA6/XCYrFcyHt46LtSABesP+Bi0JPPQyiVSshms/jy5QsWFxfx7t07RCIR9PT04Pnz55ienkZPTw9TCPzxxNyA/N/S8/gKGguVSgW3240nT56gVqthYGAAer1eisfcEr5bHYtNat7HTgKWFh4JQJ1OB7VaDYvFgr6+PiQSCSQSCYTDYQSDQQSDQYRCIZydneH4+BhnZ2eo1WqwWCyw2WxNu7HrxmU7Orpnip+IuQaEMYPLJjOVE6cgcbtroeByMplEOp1mlgXwNdCdSCSYm65YLH7fzT9AXJbASOVKvnz5gt9//x1//vkngsEg3G435ubm8PLlSwwODja1iQXaC3xJuImDmH49PT1MERiNRuh0utu+tAeLKyuF75nU/GLjd828crDb7ahWq0zYhUIh7O/vY2dnB6FQiLE4eHfNdSawiUFo8tdqNZTLZdRqtaYsbbH7pRwCYigJj0ufA74pSr5hDv9Zsfvl2VDkuwbQlDvRLv7xUCFG6xWjVdMYU0B/f38fv//+O/7v//4PwWAQdrsds7OzrKc4X+v/e6wySTk0gzZbRqORxcNabb4k3Ay+y1K4ykMSCiWxxcfTPA0GA6xWK7q7u9Hb2wu/349oNIpKpQKHwwG73d5UNO5nJ8pV70FYtZEqXPL+ZqFLgsp9UH2iVtfc1dUFpVLJah/xtXHEBJZSqYTJZGKltyORCAqFAoCvSlehUDTFFPj7kBaWOCeeXgea+xkUi0WcnJxgaWkJ//u//4vDw0P09fXhb3/7G16/fo3p6WmWnCZ0Q0muoatBOMclBXC3cKPRHH7nSzs2Cs5SSYmBgQEUi0WUSiUAYFnQt7ED5ievmNBuNBpMwCuVStRqNVYKQ3gc4rpXq1WmNFQqFXQ6HevA1Yp5QZbVwMAA+vv7cXp6imKxCI1GA6fTCb/fz2IvxGySLAZx8PMP+CbQq9Uq0uk0Dg4OsLS0hOXlZYTDYXR3d+Nvf/sb/vGPf2B0dBROp5P1Q5DwY7iMZi4x5m4X164ULnuQvGDlP8sneSmVSuh0OsboaVXfp5NuJBL2VKZCbDcok33N5jYajTCbzVAqlahUKiiXyxcovBSozuVyyGazKJVKzAqgYLYw+E3HIKU5MDAAn8+Hzc1NlEol+P1+zM7Osh+Xy9WkYKRF9RXCgDK9Rj9Uy2hrawurq6tYXV1FNBqF1+vF7OwsXr16Bb/fD6vV2pS42Ip6Ko17e1xlfKQxvD10xFJo90DF3EtisQM6zm1MDqEPX1hCQqgULBYL7HY7jEYjkskkisUi8vk8o4sCX908hUIByWQSiUQC5XK5bZwCaHZv6HQ6eDwe+Hw+uFwuKJVKPHv2DP/5n/8Jv98Pt9sNo9HYstyFhG8QUoqj0ShWV1fx119/YWtrC6lUCi6XC7Ozs1hYWIDf74fFYmEVTwHJVfQzECOMiDH2pPG9Hdw4GViMCip8TSyAdxsmJSkrPoArPL9CoYDRaITL5YLT6UQ+n0cmk0EkEmFFAKlW0fn5OSKRCDKZDIsT8K05eUokD2JoWCwWdHd3w+12w2w2Y2pqilEjdTpdEwvsIS2oq7pyeIuBCjkSDXppaQmfPn1CPp9Hb28vpqenMT8/j9HRUdhsNhbgF6ObSq6k7weNG62tSqXCXMZqtRpqtVra4NwSrl0ptMrcvMrCaSXIhLGITu/SeHcP9TDgd/M8g6WrqwsGgwE9PT3o7e1FLBZDMpnE4eEhC6ArFArk83nE43GEw2EUCgW43W50d3dfCA63GgfKazAYDLDZbDCZTOjt7UV3dzersUQL7CEKKWFwvp27kZ5tMpnEzs4O3r9/j42NDeRyOfT392N+fh6PHz/G8PAwrFYrez5iQWoJ3wcxC6FUKiGVSiEajUImk8HlcjURTCTcLK5VKbQTSN+z0xfz094kqMnO+fk50uk00uk0qtUqzs/Pkc1mUS6Xm+IcWq0Wbrcbjx49Ysl4GxsbbPeuVqsRjUaxv7+PVCoFk8mEoaEheL1eVjZbzBoR3jfRT4nOyscjeDwkK4GHMI4DXGQGyWQyVup9a2sLS0tLrPz12NgYHj9+jLm5Ofh8PpjN5itl0j/U8b4OEDnj5OQE29vbkMvlmJychNFoZAmrEm4W16YUxOiU9DoPMU63UAgS518YkL6pxVev15HP55FIJBCNRpFMJlGpVBCJRBCJROB0OpuK9qnVanR3d2N2dhaFQgEfPnzA58+fWc6CVqvF4eEhtra2AABjY2OYmZmB1+tlbCExVxkP2t1Shzu+o5eQUSP8nvD4vzLaUYGBb4lpm5ub+Ouvv7C+vg4AGB0dxbNnzzA2Noa+vj4YjcYLVGHgYizhoYzrdUJosZ2fn+Po6Airq6vQaDRwOBwYGBi45at8uLixmAIFb9stIjL7ibZJdWr4vgs3AbqGrq4uVvmVqLGFQgGlUom5jgAwF5Lf70ej8bUsxcHBAbLZLM7OzqBSqRAMBlGtVjEyMoKZmRnmq24XZBYqCopv8GMiltdAn3+IELqOhAIoEAjg48eP+PPPP7G7u4tqtYpHjx7h9evXmJubY8UYiULMH09SBteParWKbDaLcDjMGnRROXkJt4NrUwp87gG/iHjhxrNxgIt5AJQAls/nUSgUIJPJWEltKvJ2E8JOJpNBo9Ggv78fjUYDfr8fcrkcZrOZ+Zj5+wW++vwtFgv8fj/q9Tr6+vrQaDSYCWyz2eBwODA0NMQyYlv1UBBeCw/KCtdoNKyw3kMXUGIUZxpTsqby+Tyi0SiWlpbw//7f/8POzg4sFgtjGE1PT8PpdIpSeqXktM6ANjrFYpElibaqMivh5tAxS0GY7FWr1VAoFJDP51EqlRgFlSYAXzH0/PwchUKBcfOFVSg7HWSWyb72RBgeHobH42natWi1WhgMhiaFQL9VKhWcTifUajX6+/tRLBab2EuUbEaB4avch1BhCGsmSQ3Ov0FsbtC8CwQCWF1dxZs3b7CxsQGlUomxsTH87W9/w8zMDJxOJ7Pa+Hn50JhcNwmSC7RGqLS8xDy6XXQseY3M9WKxiHQ6jVgshlAohGQyiXw+z1xEhEqlwhrxFAoFqFQqjI6OsvIOhMuyIX8GPKNIp9Nd8PcLXTViuxqFQgGLxQKTySSad/G919PqdVKqD9VNxEO4YSBFWS6XkUwmcXR0hPX1dbx9+xb7+/swm82YnZ1l/RAoRiS5iW4O/NqgGCL1YiELWMLt4FqVgnAxVSoVxONxfP78GcvLy/jy5Qsr+wwAuVyONacBvvYNyOVyqNfrcLvd0Gq1mJiYaNv8vFNoFQMhNxdv6dDnCdSXWQz0Xf54/Dn5v4ULh85dqVTQ1dXVVGNJwjfQOFLPid9//x3v37/H7u4ubDYbnj17hv/4j/+A3+9niYDA5Y1wHlrQ/qZAGzFq0iVZwLeLjgaa8/k8AoEANjY2sLa2hkgkAq1WC7PZDIVCgWq1ilKphHq9zrJ7acdmt9thNpubfLxA5xekMKlGuPtsRXUk0HeFiuxndp9kdVGBvlKp1MQ+eghopTz51xqNr0lQxWIRmUwGu7u7WFlZwdraGmKxGBwOB+bn5/H3v/8dc3NzMBqNkMlkbZMTJdwMKJ5YqVQuNLKScLPoiKVAgrFQKCAajSKRSECn0+Hx48cYGRmB2+2GXC5nMYZGo8GCt0S51Gq16O3tZRUphZTATixeoeBuJXzEfgvvX7jTEbKC2lFz+ddJMfF1kyqVCmQyWVOQuR19974KOqH7jX9dqIiJ9UUd/j59+oStrS1Eo1EoFArMz89jcHAQU1NTGBsbg8FguFC2gv8t/Fvsfwk/B9psEf28UCiweKLEPro9dNRSoIduNBqhVqsxMjKCx48fo6+vjy3ISqUC4Fsv42q1ikKhgEqlArVaDZPJxCbNTS7Kq5qvYi4Gse/+CFWUVwqVSgX5fB65XA6NxtcKqzdN1b0NiMVN+AAwjSu1LP3y5QsrapdIJGC32zExMcFowE6nEzqdjlkIdDwxpSDtVjsPvsowyYN23QsldB4dUQq0YHU6HXp7e1EoFJBOp6HValnNGZVKxXa79B3ehOQTtITHJnRKSfzMcS/77lWOLRZboP4O5XIZMpmMFdK7qlL6lcBbW5R9HgwGsb29jeXlZWxvbyMej8Nms2F8fBzz8/MYGxtjVWQpg/wya0qyDDoPoljbbDZW1FGv10uB5ltER2of0Y9er8fAwADkcjn29vaQyWSwtbWFcDgMnU7X9OBpl0AmZL1eh8vlglwuZx2ZHjJofMiyalXi4qGAJycEAgGsra1hbW0NX758QalUgtfrxeTkJKampjA6OgqHwwG1Wt0y2U/CzUBIoFAqlTCbzRgaGgLwtX9Kd3c3y0uScPPoaO0jhUIBvV4PlUqFVCqFzc1N5HI5aDSaJp8u/ZBSKBaL0Ov1mJychM1mg8vlupAs9tDAB79vI8v7tsC73ehvKqKWzWZxcnKCjY0NbG5uIhwOQ61Ww+/3Y3x8HGNjY6yiLHVKk/IO7gZoHZNSGBwchM1mg1wuh91uZwQTCTePa1cKwDcfbaVSQSqVwuHhIdbX17G8vIxMJsOSVGSyr6UEyI9Iv+VyOasASpTVhyAACZdlOHcy2H5XQfdLm4dYLMYK2m1vbyOXy8HpdGJychLT09MYGBiAxWKBVqttSkrjjyc2zg9pTG8TPKtPrVbD4XDAYrEA+GYFSwr8dtDRJjvZbBYHBwfY2NjA0dER8vk81Go1dDodM+WpS1m9XmfuJJVKxTIbxfzm9xk/Sn2k0tl8XZ5fKRjHCwChMOCtROqStrGxgTdv3mBtbQ21Wg1DQ0OYm5vD06dPMTw8DKPRyOIG7ZhrEhX1dkG5QMJcESlH5PbQkYxmciMVCgUEg0FEIhGoVCqMj4+jt7eXlYKgoHOxWGQN70nYGY1GDAwMNLGP7gvaXetlCVJin5PJvvaxpnpHANhY3fVxuer18ZRaMb8/Va4Nh8PY3NzE4uIiVldXUSgUMDo6ilevXmF2dhYDAwMwGAxNlqWQWSQUMHd9DH81iI23mFXAf06KA90cOkpJpTIXMpkMHo8Hw8PDmJqagsfjYUlqVO6CaqDQd+r1OiwWCywWS1PvgvviOhGbxK3olZeBlIJOp4Ner2eJf/clee0q1yjMsxB+p1QqIRQK4dOnT3j79i02NjZQLBYxPDyMFy9e4OnTp/B6vdDr9aI9vcViUq0sEwk3A2HGfrt1fZlLVcL1oWNKQSb7Wmm0p6cHQ0NDqFarGBoawsjICPr6+i50GyPUajVkMhkkk0k0Go2mmvb37eGLJV/9yI5HLInqvo2FGITjQm5E2uVTSZDz83OcnJxgfX0dnz59wvHxMbRaLfx+P548eYKZmRn09/c3KYRWQkSint49fG+OiORK6iyuPaOZf2Amkwl+vx8KhYL1E8jlcqxpvRjkcjlqtRrS6TSjX1JFUD6ngc5xF8Ffl3A3/72BYhpTqh57fn7OgvH3iZJ6mbVALiKKk1AuQTabxd7eHt68eYN3794hmUyir68P8/PzmJubw+DgIBwOB8s/aKcQ6DxXeU1CZ9DKTcTHx3jXH59PImbpSc/u+tFRS4H84I1GA4FAgPUu7u/vh9VqZUlZfGZpvV5HOp1GJpNhvQtsNtu9e/i84L8sc/Yy0KIplUqsVpRCofglGVlEtwW+1s7a39/H4uIi/vjjDwQCAdbh7rfffsPExASLsYjVm5Jw91GpVJDL5ZBMJpHNZll5eYoL0XMlptJVS85L+HF0hJJKKBaLzA+8uLiIw8NDqNVqWK1W6HQ6FkPgXQfkMnI4HGwnyE8GYSbqbaBVTR5Cq4Cm2HHa3QuvQKgcgEKhaLIQbnssvgeXBRLpGctkMuRyOQQCAXz48AHv379HKpXC8PAwnj59ihcvXqC/v/9KxRIvy1qWcLMQWtH5fB5nZ2fY2tpCIBCA3W7HkydP4PP5GBmFr/UlnP/30a1819HRfgqUpxAMBnF4eIidnR3U63VGNeUb0JDV0Gg0YLGKGi5nAAAgAElEQVRYMDU1hYmJCSYQ7+KDb6UU+JIdrTpJ0Y5YrB1nK3O51Xnv4tj8CIhlls/ncXR0hJWVFXz8+BGBQAAOhwPPnz/Hixcv4Pf7YTAYmqyDVi65X2VsfkU0Gl+LGCYSCRwfH+Pg4AD5fB4jIyOsFSq/UZBwM+hYPwX6X6lUQq1WQ6vVwmg0Qi6Xs4b2vP+XZyLp9XqWdHRXXSStFAIpg2w2i2QyyfpD8IqNsjgtFgv0en3bHS79Fpa5IOvpV0OhUMDh4SE+fPiADx8+4OzsDGazGTMzM5ibm8PAwABjYPGMlfvCSnvoEO7sad3zhfB4Rc9vmkhJSOgsOkpJVSgUMBgMcDgc6O3tZa4jvk8Cv5Mul8ssEG2xWC4Elu8KWgUzaWefz+dxenqKnZ0dBAIBFIvFptIUNpsNo6OjUKlUrGKn2Dl4q4uUQq1WY4qVEvvEFtpdFI5iGcX0m+4vHA5jbW0Nf/31F/b29qBUKhnLyO/3s1LqfD6DpBB+TdAzFZbOl9BZdKwgHgCo1WrY7XaMjY2xRDWXywWLxcJ2AHwQiYJOqVQKtVoNvb29zLqgY98liGXeVioVBAIBrKys4PPnzwgGg6yyqVKphFarhc/ng8fjaUo+E96bWIIV7aDI+hJaUvyx7vquio8hUKZyIBDA8vIy/vrrL+zv70Mul2N0dBTPnj3D+Ph4U02cuzYXJPw4aK5SvIA2TzT3hXlK0rPvLDpSEI9+FAoFzGYz/H4/nE4no6lS3SP6Ds/Soc5Z1WoVGo2GKZC7wiwRJtzwrxNzamtrC6urq4jFYujq6mL8eZVKBbPZjJ6eHthsNsacEVLyWp2TD7gLd8Y8S4MEbqt4xm2AX8z8uNEzTyQSWF5exj//+U/s7+9Do9FgeHgYCwsLmJmZgcfjgVqtFr2vu3B/Er4PwjnMx9iEVGvhHJaed2fRUfcRAFbwiqqiGo1GGAwG1k8BaC6NcZ92AfzkrNVqyOVyODs7w97eHmKxGKxWK4aGhmAymaBQKKBQKGA0GuF2u9HT09OkFK4CUgp8UJ4WjFDg3tWyAHyMhCqdRiIR7O7u4q+//sKXL1+g1WoxOzuLx48fY2pqCr29vdDpdPcmg1vCz+MuzdmHho4FmolZkEwmEQgEEA6HIZfL4Xa74fV6Ybfbm3yFxFbiXS1iOwb6fVuTppUPv1KpIBKJ4MuXLzg9PQUA9PT0YGJiAt3d3TAYDFAoFFCpVFCr1VCr1VdyiwkVJSmfdDrN2hbyfSnEds+3HWMQKq1G42tdrHA4jKOjI2xtbWFnZwdHR0ew2WyYnJzEixcvMDIyApfLxXJd6PsS7j/E4kvCgLOE20HHKKnA1zyFs7MzrK6u4uDgAGq1GpOTkzCbzbBarQC+TQ7qoJVOp1Gr1aDT6Vg1Vd73fBd2EGLXUK1WEQwG8enTJxwdHaGrqwvZbBaFQgEKhQIWiwU6nY5lcgutJKEQb5X5SVVClUolotEocrkc88cKrYbbBn8fvIusXC4jFovh8+fP+PjxI3O1EUf96dOnGBsbg8PhYNaUhF8bvFK4D4Uef2V0zH1ELJxAIIDDw0PE43G4XC7mRiHwriNKWEqlUtBqtejp6WG77LsKioWQsN7b28Ph4SFLwEomkxgdHcXo6CgGBgbg8Xiagud0jMtAgfp0Oo3T01MkEgk4nU7o9XoMDw/D6XQyl9xl3P2bBr/LL5fLCIfDWF5exv/93/9hc3MT5+fncDqdeP78Of7t3/4NIyMjrK83j1b3cdv3J+HnQBsGyluS3IS3i471aK7VaigWi0ilUmg0GhgYGMD4+DjGx8fhcDiYb5wPOFOp7d3dXchkMvj9ftZboVWjlLsA6p+cz+eRz+eRy+WQzWbZvXz8+BGPHj3CwsICXr16hZGRkSbF2C4JDvjmfz8/P0csFkM4HEY2m2V5HdVqlTUquUusI6HbiJrjbG5u4n/+53/wxx9/IJ/PY3p6Gn//+9/x22+/sRgMQaKc/roQukalRLW7gY5aCmQGWq1WPHr0CLOzs3C73dBqtRdaI/JB1EQigUQiAZlMhv7+fuZXpuPeFfDXolKp0N3djampKahUKkQiEUQiEVbvKZVKoVgsQqPRQKvVoq+vj7GwWrl8eLpmIpHAyckJsxLy+TzW1tagUqlgMBhYlzHqZ33TC6vV9dMzJQthbW0Nb968wdu3bxGPx+Hz+fDixQv8/e9/x8TERFP+isRNfziQyb6VsbjLSasPAR3rvEYCQaVSwWg0suxdetjC5CP6rE6ng1wuRz6fRzqdRj6fv1Dv6C7sJvhdjlwuh8lkwsTEBMxmM549e4ZIJIKTkxMcHR3h7OwMkUgEp6enWFlZgc1mg0qlYjRL3uVDx+ZpujyrKRAIoFAoAPhaMO7g4ACrq6vo6+uD3W6HUqkUrUDbyfFqxRwjF1m5XEYoFMLa2hr+9a9/4f3798jn8xgfH8eLFy/w/Plz9Pb2NuUgiGUrS/i1QIpArVbDaDSyxFaKI0q4HXS0SiqZg4VCAbFYDIlEggWPhUwiYiul02mcn5+jVquJ1jy6awKChJdGo4Hb7YbNZmNlrkOhEM7OzrC/v4/V1VUEAgGcnJxgZ2cH3d3dsNvtzG8udk80LtlsFqFQCMFgEJlMpsklQ3Vjjo6OMDY2BpvN1rIseSfunVcGwryNrq4uVKtVRKNR1hxneXkZyWQSAwMD+O233/DixQuMjo4yl5FQIUj4taFUKmGxWFjHPKvVCpPJJCmFW0RHlYJKpYJGo0E+n8fW1hZzJ/X390Oj0TChRzTLk5MTbG9vIxQKQafTweFwMConf9y7AKHLh+6XajqRddTb2wuPxwOdToePHz8yiyEYDGJwcBBGo1FU8RFofEqlEiqVyoXdeLVaRaFQQDabRS6XQ7VavTEWUrvcknq9zjYDGxsb+Ouvv7C6uop8Ps9cRr/99htGRkZgtVqZlQDcnWcsoTPg5wvFwhQKBfr6+qBWq1m3RQm3gx9WCmKCQFhmQavVoru7G8fHx9jb22O73FqtBqfTCblcjkqlgnw+j2g0is3NTWxtbSGdTqOvrw/9/f0so/ku7h6FOQG8q4NyEgwGA9RqNcrlMjKZDFKpFGKxGCKRCLLZLFwuV9MxgIvjqFQqodfrmWuNB52nVT0g4bGv+/7F+ObElIrH4/j06RN+//13fPjwAfF4HG63G/Pz83j16hXGxsaYy0vKTn4Y4F2lVPXAaDSy5ETaXFHFXGk+3Dx+2lIQMoj41/R6Pfr6+hCPxxGLxRCNRvHx40eEw2GWvFYoFJBOpxGNRnF6esreGxoawsDAAMxmc1OS112eJPyumYSyUqmEyWTCwMAAwuEw9vb2mIuMYgPtQGUyuru70dPTA5PJxFqV0vgODw/D6/WyWAVdy02MFU8UkMlkzOoLBoNYX1/Hu3fvsLa2hmw2i97eXjx79gwLCwt49OhRUw0sCQ8LfCyRklT5nJ27vM5/dfzQihT6kYW+ZOBbeQuHw4HR0VGUy2V8+vQJoVAIp6en7MGTUigUClAqlbBarZiYmMCjR4/gdruh0+maCmLd5UnT6pqoBlR3dzdsNhsKhUITO0vsOPx96nQ6OJ1O9Pf3w+12Ix6Po9FowOfzYXZ2Fk+fPsX4+Di6u7tZjEJ43E5aC/SbdwOurq7izz//xNbWForFInw+Hx4/foynT5/C7/fDZrOx3SCApt7MEn5dCDcrvHUt9p6Em8dPbdOEghpofpAKhQI6nQ59fX3o6uqCVqvF9vY29vf3WQ/mWq0GhUIBq9UKt9uN4eFhzMzMYHh4GGaz+d7sJHlWFfBtTHjhLJfLodFooNPpoNFornxvKpUKFosFHo8HXq8X6XQaWq0W8/PzWFhYwPj4OHw+H0wmU5N76SasBVrQtVoNqVQKp6en+PDhA96+fYvd3V2oVCqMjIzg8ePHmJ6exvDwMGuz2ipzW8LDgNBlehdzkB4ivkvitoojCN0mPGin6/F4WIxheHgYiUQC5XIZtVoNAKDVauF0OtHT08NYPGIJa0LchclDKfp0L3yfYaoCmk6nkUgkUK1WGf2uXS8F/jcpE7I2crkcuru78erVK8zPz8Plcl3Iku40+OdeLpeRTCaxv7+PjY0NrKys4OTkBFarFTMzM5iamsLQ0BC6u7uZoheLw0h4WKD5U6vVWGteajvLx5kk3Cx+eBvOBzXpgRKNlHoJE+RyOQwGA7RaLaxWK3p7e5HP51GpVJjbgCqpEmWVjyPwJaGvkrHb6cnEK0DqtJbP51mWsUajgcFggFKpRL1ex/n5OYLBIMLhMOr1OhwOB7q7u5uYR2IuOD7fgw9cu1wuDA4OYmRkBF6vF1qtFnK5vGU+x4+ORztlTIqwVCohHo/jy5cvWFlZwcbGBuLxOCwWC2ZmZvD8+XP4/X6WXCesjS8phYcF3nqmLHdaO8VikTXiop4KEm4eP+2bIaZJKpVCKpVCV1cXnE4nrFYrYw0RZ10ul0OpVDb11+UFPd8vgIROuVxGqVRirASeugjcfL9iMUGZyWSwt7eHz58/I5VKweFwMPcXAKTTaWxvbyMQCLBaRVQOmo7ZSgALhbxcLodWq4XBYGDMJlLAwt33dUBYrZJ3F2WzWRwfH2NzcxMfPnzAzs4OstksvF4v5ufn8ezZMwwNDTGrjxY5f0xJGTxcEG05HA7j5OQEqVQKVqsVo6Oj3+VelXC9uPKoi7mJaEFXq1Ukk0lsb2+jVqtheHgYXV1dzFUgrG/C7xaFoN13pVLB+fk5MpkMstksNBoNS/a6Cv++U8JGzO+ZyWSwtbWF//7v/8bh4SH6+vqwsLDAsnRzuRyOj49RKpXg9/sxPj4Ot9vdFBRupdz4cRcyNvhaMcK4znXcfyvXYL1eRzabxenpKRYXF/HmzRusr6+jXq9jcHAQjx8/xqtXrzA6OgqtVnvBFSC0FiQ8LPBehnw+z6oLh0Ih9PX1weFwMKq2hJvHT6liElAqlQpdXV1Ip9M4OTlBLBZDOp3G2NgYenp6Luzu6butkM/ncXJygv39fUSjUTQaXwvq3YVMRzGWBLnMSGHF43FWKZUSc3p6eqBWqzE2Noa+vj4YjUZ2L61iNcIxEsYt+M8Kr/G677fRaLBM6XQ6jd3dXbx//x7//Oc/sbKygkqlgqmpKbx+/RovXryA3++H2WxuGW+SlMHDBj1/qvwbjUYRiURgNBpRKpU6nngpoTV+2j4jd4bVaoXT6cTR0RG2t7eRSCSQzWYxNjYGp9PJ6pkQJ5kvYUGuokqlglKphKOjI6ysrODTp08oFAro7u5Gd3d3UzxBOGluahKJJZlR3SOZTIaxsTGk02no9XpYrVZ4PB5YrVao1WpotVqYzeamdqTCY9JxhUloFFvhe1oLy4BcN5OHz0Ggey2VSjg5OcHi4iL+93//F5ubm5DJZJibm8M//vEPPHv2DD6fjxU9lCCBhxilnNzICoVCtLmWhJvFD+cpAM2BQpPJhKGhISQSCWxsbGB/fx/xeBzb29vo7e1lNU30ej3LwKV+rNVqFel0GuFwGNFoFAcHBzg4OEA2m0V3dzecTiccDgdUKtWd2UHwglur1aK/vx8GgwEjIyNIJpOo1WqwWCxwOp1NDXa+V4gLXTjAt37Mwrrz37OQxCizrc5NnysWiwgGg1hZWcHi4iK2trbQaDQwOjqKf/u3f8PLly8xPDzMSp1LLiIJP4J2MTYJnce15SloNBp4vV62k11eXsbJyQl2d3eh1+thsVhgs9lgMpmgVqtZnSCFQsEYLIFAANFoFNlsFkqlEl6vF7Ozs5idnYXX64VGoxFl2NwkxIQ0peprtVo4HA6Wf0EuJQoGU7zke2MifEIgH3P52Q5Vly0+eo96YwQCAaysrODPP//E4eEhNBoNhoaGsLCwgJcvX8Lr9UKv14teu6QYJLQD7y2QOq/dLq6sFMTyD4BvO06FQgGTyQSv19vUY/Xg4ACRSATRaJQpA7ISaDdZKpVQKBRYpq/ZbMbQ0BCmp6cxOTkJn8/HgtZEYb0NISPclfOBX5nsa0kL6icsDK7z3xM7hvD4/GfE3G1iAp3f1V9lfK6yI6PS3cFgEB8/fsQff/yBnZ0daDQaDA8PY35+nmUp83ESCRLaQUiM4PMVpM5rt4vvthRaCRsSBiaTCYODg1Cr1bDZbPB6vQiFQsjlcqhUKuwYxJ4pl8tQKBQsj8FkMsHj8cDv92NwcPBWErOuCrEsbl6A85Nb+Pt7lZowptCOx/0zC0qYN1AoFHBwcIClpSUsLi7i+PgYBoMB4+PjmJycxMTEBAYGBmCxWETvScpBkHAZhPEzCbeL71IKwuAQvcb7pru6umA0GjE4OAin04lHjx4hnU4jl8uhVCqx75HgpDyErq4uGAwGmM1mWK1WWK1W6PX6Jn475TuITZ5OcPTb3b8QrXb5rb532WvCRUI7KbKUaFzEgtQ/A15pEQvsw4cPePPmDY6Pj+FyuTA3N8esA4fDcSEpTez+pcUugQfPaiN3Ec1rKdB8u/ihmAK/yMX8x5R9q9frYbfbUS6XUS6XmVuJF3jkR5TJvpba1mq1TYkr1NBbqBCELpebnEStziXmtmklEC/zu/OuHf43P3ZCC4VXzpcpB7Fr4hdpLpfD6ekplpeX8f79ewQCAZjNZszOzuL58+d49OgRXC6XaFVW4f1IC1wCQWyOC+e15IK8XfxUmYtWIFcHfY4ykenh8+/xwo+nWQqzXq8iXG8T7ayX63qNxue6IQwop1Ip7O/vY319HWtra4jFYnC73ZiamsLz588xOjoKs9nMnlO7+74rz0fC3QK/cSAqKsUZJcvydtERpcBD6O75EbqZcMd5lyZNp6+DV4itfr73esSeAZUrSSQS2N3dxeLiItbW1pBIJOB2uzEzM4Nnz57B7/fDbrdfiGnclech4X6A9yrodDqYTCZUKhXodDqWDCvhdtCR4iJiJuL3CI3rTsL6VUCm9XWzr2Syr7WMzs/Psbu7iz///BOLi4tIJpPweDyYm5tjhe3MZjMrey1Bws+gq6sLGo0GDoeDMQx7enqg1+slpXCLuFalcNWg5/cGbB8ixOIF16UQeNoq8cPT6TQODw+xvLyMpaUlVodmfn4ez58/x9jYGKxWK7q6uphrj2+MIylxCVcB7zbq6uqCTqdDT08PFAoFcrkcDAbDnShn85DREUuhXbBTGIyUIA4hj7uVn/5Hx5Fvn5nJZLCzs4PFxUUsLi4iFArB7Xbj1atXeP36NUZHR2G329HV1dWUWCQpAgk/A5nsa24PlX6pVCpQKpWs26KE28G1KgUhS4YgfMCtOPtijJuHCH4cWgneq8RV2llqjcbXWvbJZBJbW1t49+4d3r9/j1gsht7eXrx8+RK//fYbRkdHYTQaAeCCQmhHAJAgoR14tzJVN6C5JFFSbxc3UrBcSFcUy8TlfwtfJzykiSIUtq2EcTt6bKtsaWoMFI1Gsbm5iffv37NeEH19fZiZmcHLly8xMjLCXEZiCUYP6XlIuB4QY02McSgRF+4GOqoUiPNeqVRQrVaZuUj0M9qxCmudSBOiGXw2M0/nvcr3eGVCf+fzeUQiEaysrOCPP/7A9vY2ZDIZfD4f5ufnMTs7i6GhIZhMJtHYBv//Q7boJPw8xDY/0vq/XVy7+4gXErVaDYVCAbFYDPF4HLVaDSaTCRaLBXq9vqlMLgkYEno85fEhuijEdvmUyHeVktRiFhlf2G5tbQ1//PEH1tfXUavVMDExgYWFBTx58oT1ruBLi7Sivz605yKhcxDOWWlu3Q46ZimQz5paUa6srCAej8NoNMJut8PpdMLlcqGvr4/R0Kj9Zq1WY35Gyb/YTEUlV85VioYJ3TxUx+jdu3d4+/Yt9vb2oFAoMD4+jhcvXuDJkyfw+XwwGAyifSsky0DCdUJIpJDm1t1Ax9hHjUaD9W4+PDzEhw8fcHBwALVazRRDb28vpqamMDk5ie7ublZeoVarwWg0MouCF1APUUGQUpDL5Wz3flk1SeE45XI5HB0dYXFxEf/617/w+fNnGI1GzM3N4fXr1xgfH2d9o/lMc7HEQQkSfhRCC7harbLNYLVaZZWGxbo1SrgZ3Ij7qFAoQCaTQafTQa1WQyaTIZFIIJVKIRwOY39/Hz09PVAqlajX61CpVHC73fD5fPB4PE2p7w/BvBS7L+F9twsw86jX66yb3fv37/Hnn39id3cXjUYDPp8Pc3NzmJ6eRnd3N1PAkhkvoZOg+VSv11EoFBCNRhEOh5HP52G1WtHf3w+HwyHRUm8JHWcfyWQy2O12zMzMYGJiAjqdDgAQiURwcHCAvb097O3tQa/Xw2g0QqfTwel0olwuw2KxwG63s93rQwVfM0rIQmqHer2ObDaLUCiEpaUl/P7779ja2oJCocDw8DAWFhYwPj4Oh8MBtVrNvvOQx1rCzaFeryOfz+P09BRbW1tIpVLo7++H0WiE1WplRTEl3Cw6ktFMQkwul0On0zHNr9Fo2G40EAhAr9ejUqng9PQU8XgcOp0ONpsNer2+qZmOkAZ51wOcYhTbVslnrcCPJd96sxVNV3guCiqHQiGsrq7i7du32NraQrFYxOjoKJ49e4a5uTnWRlRsV3YfxlrC/QRZ/aVSibXiTSQS0Ov1KBQKUn/vW0RHVbFCoYDZbIZKpWIKQqfTQS6Xw+12w2w2w2KxYHNzEycnJ5DJZOjp6cHw8DB8Ph/sdjvbwd7VeEKr6yKff61WAwAWDyD3zI/eCymJVjEFEu7lchmxWAwbGxv417/+haWlJZTLZfh8Pjx79gwLCwus2ulda2DULhP+vuNHSpr/quAp6ZVKhVHXpc5r4miVd9SuSsSPzKeOKQUKjiqVyqaOawqFgvVMMBqNcDqd8Hq9+PLlC3K5HMxmM8bGxuDz+WCz2Zrq9dMxbhv84PMBWao0ms1mWcCchDfdt9FobOoX8T33Q8qAVwj8+WmBlUolhEIhbG1t4f3791hZWUE6ncbo6ChevnyJFy9e4NGjR7BarZDL5S2V1G1YCe2q6N6FZ/+j+J5M/ft8n98Dml9EouDrej2UMbgqhOtC7O/L4oBXHdNrVwq8oKpUKjg/P8fp6SkymQwsFgsGBwfR09PD2nVqtVpYLBZ4PB6cnJwgkUigUCigXC6L3sxdCYAKH0SlUkEul0MoFMLu7i4CgQAAsHpBAGCz2TA6OorBwUHo9Xq2Q2+l6XmhXK/X2W6qVZ9qiiGcnp5ifX0dS0tLWFtbQy6Xw8jICP793/8dr1+/ht/vh81mYz2y+WsQnv+m0c5Fdt/RTuEBv859toPwHnlWHc96kyyFb2g3JkKWIA+emPM9c6ujlFRiH0WjURwdHUGlUiGXy6FQKMDlcrEEtp6eHmi1WtRqNZydnWFvbw9qtRo6nQ7d3d2sLspdmyh0n9VqFalUCgcHB/j06ROzenQ6HbRaLcrlMtLpNFQqFbLZLACgv78fJpOJMavEji1UhsIezXwOR61WY/Tf5eVlLC8vY2dnB+VyGePj41hYWMCrV68wOjoKg8HALBsed0HJSng44Etd8MmrklK4OsRilT87dh3rp0AuE7PZDIfDgWg0ilAohGw2i2g0Cr/fzwLQVBlRr9czuurx8TEcDseFXAU6/m3vqvhdTT6fRyAQYI1p5HI5RkdH4fF4oNfrkc1msbe3h0AggI2NDQBfH9zIyEiTgG5FO+UDvnwiG71frVaRzWaxv7+Pd+/e4d27dwgEAqjX6/D7/Xj8+DGePXuGoaEhmM3mpkV4E8Hkq0zS73Gv3Ee0o/n+qvd8Ge4TeeQ20c6KF64b4bz6kfhlRwPN5CLifd0HBwc4ODjA/v4+JicnMTIywqyEYDCIVCqFTCaDeDyOVCrV5Ea6ayCWTzwex/b2NlZXVxEMBvHkyRO8fv0a/f39UKlUSKfTjFWxu7uLYrEIvV7PrCXgciooNTWnXA5SDPV6HZlMBoeHh3j79i3evHmD/f19GI1GjI+P4+XLl3j8+DEGBgag1WpFLa7biBvQeVv5SW/juiTcPEg2kNXaiSZSvzKIZVir1aBQKBip50cVAtABSiotdNrZKxQKOBwOlkR1fn6OtbU1RKNRpFIpnJ2dQaPRoF6vIxQKYX9/H6VSCd3d3RdoknfFhcS7bMhK2NnZQTQahdFoxPDwMEZGRmC329FoNKBUKuH1enF8fIzPnz/j8PAQXq+X5Qi08u3zuwDeJVcqlZDNZpFKpaBSqXB8fIzV1VW8e/cOh4eHLA/h+fPnTaUrALDFd1NsLjFXwGX/E76Xxivh7kPIoKE5Xa1Wb8xyve/g44zZbBbBYBDn5+fQaDSwWq0wmUzQarU/XHW2o+wjcnVQbAD4Ss3UarXY399HJBJBKBRigi6dTuP8/Bw9PT3Q6XSMznpXhUOlUkEsFsP+/j729/dRKBTQ398Pj8fTRPXUarVwOBxwu93Q6/VIJpMIh8OIxWIYGBiARqNpOq5YPKFcLiOfzyORSCAej7PdlEajwe7uLj5//ox4PA6Xy4VHjx5hbm6OWQhGo7HJXUTHvEkI70m48NsRCO7SM+8kHqIwJEJKuVxmJAopR6E9eKZjMBjE+/fvWRx2aGgIjx49YkUtb91SaLXbJeHldrthMBjg8/mws7ODpaUlJkyz2SyKxSLUajW6u7vh9XrhcrmaXB53ZcHQtZRKJUQiERwfHyMajUKhUMDlcsFsNjftyEkxWiwWWCwWBINB5iLL5/Ps4YmNG/BV+VAs5vT0FKenpwiFQjg6OgIAxGIxFItFeL1evHr1CgsLC/D5fCxhkN+tCwvddbqUQCvBf1kS3q8mINspY7GWpldljVz2ue9ln9w09ZtIE0qlEmq1WrQI5l1hHF6G65ZR7dYLsRHJdby0tIRSqYTd3V3E43HkcjkWQ6Rcr6uiY4Fm/m968FqtFkqlEkajEVqtFlqtFj6fD+fn50in0ygUClAoFBgcHMSjR49gt27raNUAACAASURBVNuhVCoB3M2JUavVmBsnn8/DbrfD7XbDarVeEAIUTKeSHefn50gmkygUCqjVaqLVYEmYF4tFJBIJBINBBAIBBINBRCIRnJ2dsaRASkp78eIFJiYmmJUlxHXxwL93AfCuPz75jmdS/chx7xPaCW5eOfNKXGw8fmR8xI4j9DtflQV3lfNftl7pfYVCAb1ezxJViaYuHA+x84ttFsWUbrvz/8xca0URFR6XrlH43mVjxH9O7H25XA69Xg+HwwGTyYTj42N8+vQJmUwG4XAYT58+xdTUFDweT1Oc5rLn3rGYQrvBoR21wWDA+Pg4SqUS8vk8isUiurq6WFIbcfnvQhxBDEJ/KOVciJWeFgaKs9kszs/PUSwWUa/XL/Qu4P2tVL/o7OwM8Xgc5+fnTLFQraiJiQk8e/YMw8PDMBqNLAhNx+Ov+XvccfwEEj5b4TGuUjeJAmOxWAzpdBoymYxltlNvXuFiEWMm/YhL8UcX51WOK8RVBWelUkGpVGKlHZRKJbRaLQsYXnZ9rYR9q7/5eSn2LIXf43NiWq1rse+2E5g8FAoFK29Dv4Xu1FbfvSqu+t1OWUk/E/RtdTyZ7GsbU5fLhcePH6Ner0Ov12NzcxOfP39GIBBAMplEpVKBTCZDd3c3qzvXaDSa1iq5+QkdqX3E/y3UdjTB5HI51Go1LBYLy9LlS0KQGSk2GHcVJPj5XT8fOKMfEoyFQgGVSuWC0KXvAWDsomAwiHA4zDKlCTRGVG6YciKA5jG/CvjFI2xyRO8LWSL0OSpVIPQHy+VyKBQKpqSKxSKi0SgLuDcaDfT19WFkZAR9fX3MkuJzMngB1srFImSstNpdi42x8N7FIEZ6aPW9dnOUf67VahXpdBqhUAjBYBClUgkWiwX9/f3Mddrq+JfFZ4Q/9DmxHXi7cePHnGjTwvkshFApCMeKnhUpxFKpxEpn0wYxm80yi6GVAmvndrsqhEqSR6vnyI8H/5pYCRt+zYgdV/gMxM4p3Gzx16nRaDAwMIBGowGFQoFisYj19XUcHx8zhQ4A09PT6Onpadps8NdN55DJZJ0NNF/2Pk0OchEB4nz1u2opAO355/R/q0lylTov1WoV5+fniMViSCQSKBaLTe/XajXmV/z48SOOj4+hUqmajim2ePjrEfub6tprNBrmkywWi+z8lFei1Wohl8sZUSCXyzEaMbkGzGYzy8dIJBLY3t7G4uIidnZ2UK1W4fV6MTU1hSdPnqC/vx+NRgPJZJJZUXSftVqtibJYqVRYQya1Wt1kVQoFF1lptABo18wraqEgpRay/Hfp2HyzIxpjvsUsKTY6LpV8oc+Q8j46OsLW1hb29vZQLBbZzm9mZgZ2u71JoIgpR9pg8QudrotqCTUajQufIYUuFNhimxka/1KpxFydtPkR2zjwv3lhQ6/Tpq9SqSAYDGJvbw9bW1soFAoIhULI5/MYGxuDy+WCSqW64G6kYws3X/y98c+Hb/dLnxO7bjElKqb4xDYECoWCbX6Ex+Ept/Q6XwftKm12W21CyGLo7++HXC5nx1lZWUEoFMKff/6JYrGITCaDyclJeDweWK3WCzKXP2/HYwr8a8IbEjNH2wnIu2Yl8A9UbFIRxK6bF25CFw2Bjl0ul1EoFFAsFlGtVpuOU6vVkEwm8fnzZ6RSKej1+iaKK52/lYtB7PVG4yuNlhfojUYDmUwG2WwWXV1dzOVDbTvz+Tyi0SgLngNfdzFmsxnd3d2w2WyQyWQIBoPY2NjA8vIyTk5OUKlUcHh4iEAggFQqhbGxMTQaDYRCIZyfnzNFQOwUEq4kWCuVCst+p/smIUxCo6urC2q1GhqNBnK5nC1S/jO8tcqPu0wmY4qR7+tBC5CeBykOniNeq9VQLpebal+Rgs3lcohEItje3sbnz59xcnKCarUKq9WKeDyOTCYDj8fDnhEv4HhBS5sqPvbGn7tUKrHnSddM36fuhrxlRsegcaPxqVaryOVyqFarUCgUTAkLhazwenmlSechPn21WsXx8TFWVlbw6dMnZLNZWCwWnJycIBQKwefzQaPRNBXK492LwirKdN38vdLGgRe6vMUktIJ5RU/PWbipE1r1ANj8UigUbF7QZ8nFzCsoemb8NYqhnQVB1gFt3qrVKux2O7xeL5tbh4eHyOfzrBLt1NQURkdH4XK52HoQ4kYLlrcT6sIdayslctcUQzsKXTuzlxci7XYHvEXVStlWq1VkMhk2Sfjv0t/trkWoiEioajQa1hiJSpaUSiV0dXXBYDBAr9ezOECxWEQqlUI6nUapVAIAqFQqGAwGmM1mlqAYiURwdHSE09NTpjzOzs5QLBZZcqNCoUAmk2ECjVcAtHOnxUbxGBJuNO58VVra2dJunxYgKWb6Dl/ZlhY2CU8yu2m86Di8guF3igCalAKNJ1lx5+fniMfjCAQCCIVCzOVHCZuRSAQulwtqtbrpXLVarWle8PcnVB58vIvuU6zLmVKpZJZRtVptsm54C4jcgzS2NPd5BcsLf75wI78Bouut1WpIJBI4PT1FMBhk7ENi9DmdTigUiqZramWJ80qBdu2NRqPJWhL7Dg9hiQ1+7RHE3EO0cdBqtey++CKgNOa8rCCrkVcYrTZqreQDrXe9Xg+LxQKtVotCoYCzszOUSiXIZDLk83mmGILBIM7OznB+fo7Z2VnGBhWe48a7WFwm1MXcR3cV/ASkRce7IYBvioFfJMTE0uv1F3x8wokhl8thMBjgdDrhdDoRjUaRy+Ugk33tZOdwOOByuS5kR5OyoR9+90Lnoevnd3n87pcWP01cuVwOo9HIFjUpIBIKpCBIcNHE7+rqQiaTQSKRwNnZGSKRCFMcdC3n5+c4OjpCqVRiwUY+8Ew7S6EAovMLFzTv3qCFTffFs574HZrQ4uMFHMV+eCXCC99Wlh4JNAAolUqQy+UoFAqIRCKIRCJIJBJsAQNgLhXKSSHFwPcv5+ccnZP+F1MEpPBI6OdyOeTzechksibFTgFvEmAkwNVqNaOL8mNJ8QCaG/S8aR3wSoFXZLTBoDpo+XwepVKJxZzy+TxisRjbeNDuu5VMEHNPkcXGxyqF3xFCzGtxlU0obRxIgfNriMaCH1P+eYnNXaHSaXXdvKVAjE4isaTTaWZlF4tFhMNhFItFKJVKeDwe+Hw+OJ1OUeV4K62N2mm++4Surq4m4c7vpvkJRZOEFpFcLofFYoHVamX9JehzBH7y2O12jIyMYGJiAvl8HmdnZ8yP6Pf7MTAwALfbDZ1Ox4QVv6MVCjY6Pr+7BdBk6vLXT8lFwDffqdAMp+OT4CI3D72fSCSwu7vLdsT8QqVrVigUrJIsJTDSwhG6EPjdcbVavRDkFvN78wKfv3b+Ong3AoEUiPBYvNDn3SRi7wNoakVLv4WuA7oGakk7Pj4Ok8nEXEHEUKKx5V0mNFblcpkJDP41Ugrn5+c4Pz9Ho9GAwWBghRnz+TxyuRyLHdAc0Wq10Ol0TSXfKZmSXJpdXV3MoiKrgwQe3R/NnVwuh5OTE/Z9saY65KLq6+uD3W5vGmP+uQj/Fipn3h1E/7f7rvC9duA/T/NNeE5aU/z8FLqO+WMJz88rDKHHgHeTkiuQNg3k6qN5QGX7yeVLriOxdXAn+93dNRdRKyiVSphMJjgcDhiNRtbYJpVKNfmD6/U6K02RzWbRaDRgMplYq1EhfZWHXC6HzWbD5OQkKpUKjEYj9vf3odFoMD4+junpabZwaEHyAp2ffHzAjXcPCC0FoVAkRUHXw5vU/ATlTWHeH91oNBCJRGCz2dgukISS8D4nJiawsLCAwcFBlonN78jpnGLxAH63JXRn0DXy52ylFMSeA7+Q+c/yLhR+PPix5F0G9XodwWAQOp2O7egymUzTvRkMBgwMDODp06d48eIFnE5nk2ARlpoW7jzJdUH3T6/ROJIgbjQazCKTy+Uol8soFotMUdGxyV+uUqma3FClUol9lreaac7QGPFKQS6XI5lMYnV1Fe/fv8fnz58vKAVKYJ2bm8Pr16/h8/ku7L7Fnp9QyIoJXaHgFwpZ4TNsBzFBzj8Tfh7wVrrQtSsE/xqvDNvNZ3rO6XQaOzs7SKfTbBPocDgwMjICv9+PqakpTE1NMYqqcAyBO6YUrvow7orSoCqwTqcTZrMZgUAA+/v7GB8fx9jYGPtcvV5nwR7KMTCZTMzXzvuhgYuTjYQEZYWfnp5CqVTC7/djcHCwbdai0DxstSMRQigYr7pgxI7faDRgtVqZQDw5OUEmk2Hsoq6uLlitVvh8PjZp+/v7WdVc4UIX3pfY2LVbdJe5BcSUwo9at8LxKJfLsNvtjGkTjUZZLw4KiPf09GBychKPHz/G9PQ0nE6n6LFaWT3CoKrQ+hHuZHkFI7YpEDKV+PMI3R5iz4QXagCQyWRgNpubXFnpdJpZQTabDY8ePcLr16/xX//1XxgcHGTWBw9hcFvseQiVfKeUgvA6eAjHVMxKaXUMYbBeSE4h11S5XGYsxJOTE+aiNplMmJiYwIsXLzA9PQ2fz8fK8PBxOB53SikAd0fgtwNdo0KhYCaZRqNBNBpFuVzG7Oxs0wSo1+vI5XJIpVLMr2cymWAymVjWcSsBRzswCiQ5HA74/X50dXXBZrOxUth3HXa7HT6fD5OTk4xpFA6HUavVYLVaMTo6ygr4DQ0NXSiX/quArLmRkRGEw2GEw2Fks1mUy2WoVCo4HA5MTEzg5cuXmJ2dZbTMXwk6nQ6Tk5PIZDJIJpOMVFAul2EymTA4OIiFhQUsLCxgZGRENJlNwleUy2XE43GEw2Hs7u5ifX0dnz9/RiaTwcDAAPx+P54/f47Hjx/D5/OxDWS7Frx3TincJ5C/1Wq1wmw2o1KpIBAIsE5zer2edZ+j8hQy2dc+1G63m/lyv+dcGo2GlSPn3UJCZSoWQLpNkDUwNjbGmFKHh4eo1+vo7e3F1NQUXr58yTKyxWiEvwLI5+tyuTA9PY1MJoOuri6cnZ1Bp9PB4/Hg5cuXmJ+fR29vb1Pg/j6NQztrjCzH8fFxZDIZ1Ot1WCwWFAoFOJ1OzM7O4vnz5xgaGmLMKPoe71+/yqbhqpax2Heua6yvI1YqtMbIJRgOh7G5uYn3799jY2MDh4eHqNVqLN9lfn6euYuo0oLQUuR/A5JS+CHwD1mtVsPhcMDr9TLXTiwWw8nJCWNNnJ6eMi66TqdjLTnNZnPbiSdmZpIpT9fRig57V8C7OLRaLfr7+wF8bU0aDocBAE6nE/39/RgcHGQUOQBMGAo55fcRvBtDLpfDbDZjaGgIAODxeJBIJNhcGhkZgdvtZjEIfgFfVRjeFoTB/FZQqVTo6enB3NwcTCYTpqamUC6XYTabMTg4CL/fz/JjhOyhq5xD7DNXFc5CAfyj865VfOp7IIwf8PHHSqWCRCKBnZ0drK+v4+zsDFqtFkNDQ5iZmcHs7CwGBwdZYUwx60DM9ScphR8ET9mz2Wzw+/1YWFiA1WpFtVrF8vIyEokEurq6cHJygt3dXZRKJQwPD2N2dhYDAwOsFslVIDa5vsf3fRdAwpACiYVCgSkLvV7P3AR8QPxXBMUO7HY7K1NArDStVguDwcDohb/iONA96fV6Vs2XCkOq1WoYjUYW/G4VA7jL87xTECN3EHlAo9HA6/ViYGAAT548wcTEBDweT1NxQTEyhBgkpfCD4HchNLnJFRIIBHB0dIR0Og2lUolEIoFGo4GBgQHMzMxgdHQUdrtd1HUk5gZqB+FEucuLhWiLVDGWr3UlZFXQ539V0D1TfIlAgV8h+eBXEYT8s6W8Br1e3xRMFStfQWtNOAaXWST8OW96/MSu9Ue/L7a+5XI5TCYTc7MplUoWR+ju7r5y24ELMqfxK25FOgxhwgnxwAuFAmKxGLa3t3F8fMzMPWJVeDwejI2Nwev1NmlwniUCXPSDtnqgvOvorioFIc1TSN2jz7SCGEvkPoIfBzEWFf0v5NQL4ypCptFdg/B5XwViu38+0Ysfs8sEJX8N9PeP4jqsklaswqueXywmIpN9y+bPZrOsf4JSqYTVaoXFYoFarW7JBGzHwJLJZJJS+BHQhBXL1qTGO6FQiHHBlUolDAYDbDZbU4logpAW96sqBaH/Ujj1+Gu/Lr/uXUE7YSl232L/3yelQH9f5fOXzd1WtNerKIWrXocYrkspXIeIbWV1kPuIxlFYuoW+K1S4/DElpXANENv18e6PYrHIqoU2Gg2WnUkZoWJJN8Ljt3rvRz53m+CV51UWtlCoCMf2vkKMEHDZ0hNTmnddKQAXE8XEIDYeYi4zOs73KAXhuX9WKfwMrku8Cl2rYu/x52w1ZmLHEL4vxRR+EK38m41Gg/nNxcy0hwxeWAhr4/DF3X4V6+B7IJwrVw0K3mW02/nzv+mzvDuWf/1nx+A+j+FVIBzPy9bPZeMhKYUfwPcEba77+Nd9rk5CuOunWAzlbqTTaRSLRVajX61WsyJoVFaBqnHed2uhnXuQXudrBZGi5LNO74uibLWr5ecCL/x57jwV/uPLpFN5je+xkO7KOF33dXRa9gCSUpBwQ6BFXyqVkEgkcHh4iIODA1YUjrLDPR4PvF4v6yt735UBQSyGwqPRaKBcLiObzbK2tNTIiG+I8iugVXyFGtEnEglks1mWyS/Wt1lC5yApBQkdA79jrNVqyOVyCIVC2N3dxebmJnZ3d5FMJlnsRa1Wo7+/H3Nzc2g0vrbppDIev4JiIPDjIpN9y06NRqM4PDxkzZL6+vrQ29vLrAWhi+m+QOje4O+j0Wiw2k+xWAyhUIh1GKRERr1ezyrMCr9/38biPkBSChI6CgqMlstlnJ2dYWlpCUtLSzg4OEChUAAA1iQomUxie3sbqVSKlQPWarW/xE5ZjBHD/5/NZrGzs4Pff/8dwWAQXq8XCwsLsNlsrE/GfYTYffPBcmpLur+/j/X1dYRCISgUClitVhgMhqYcFrEYhKQUrh+SUpDQcTQaDdb56eDgAOFwGCqVCn19fTAajahWqwiFQtjY2EA0GsX6+jocDgdsNhusVivrA32fIcb4aDS+Vv5MpVLY2dnBu3fv8Pvvv7PGO36/n5XB/lXAC/FCoYBwOIwvX77g06dPODg4AAB4vV709PTA4/Gwhkv3/fnfJ0hK4SfQihLajjZ2X10AP4NqtcqaDxmNRkxPT8PlcsHr9UKv16NcLiMYDMLpdOLDhw9Ip9M4ODjA0dERhoaG4HA47oW10C5mIBZ8bTQaSKfT2N3dxfv37/HhwwecnJxAJpNdaBp0n3AVqm2hUEAgEMDa2hqWl5cRjUZhsVjg9/vh9/vR29sLs9kMnU4HlUrVxKjhc4Mka+H6ISmFDoGfrA89FYTq4JtMJoyNjcFgMKCvrw/d3d2sB28ikYDVaoVarcbS0hJyuRzi8Tiy2eyFOvp3HVdJUKvVasjn8zg6OsLa2ho+f/7MeivodDrWkOZXoefy8YR8Po9AIICVlRV8+PABR0dHsNvtGB8fx9OnT9Hb28tcR2J07vs+FncdklL4SVyWbMP/zy/uh2Ix0H1qtVp4PB7WZlOY2a1QKOD3+xGLxRAOh1l57ftWFO6yDFZyGWWzWRZ0Pz09ZX0lkslk02eB+xdQ5XMO+LGgbm2np6dYXV3F0tISAoEAdDod/H4/RkZGWE9qvp1sq0S0+zYu9wWSUvgBiC367zFjH5rJK5fLWWNx4p7z/ZupaqjFYoHL5YLD4WBsJLGOX3cRrWiW/PskLMvlMiKRCHZ2dnB0dIR6vQ632w21Wo10Os36WIsFVu86hLkIwLeNT6VSQSwWw+bmJt69e4cvX75Aq9Wit7eXddorFotMcep0uiY30X1VkvcNklK4RvBJOfV6XdT0vw8L+7pBrhCC0GIid0o2m0Umk4FcLofdbofT6WRuhPsM/l4LhQIikQgODg5YkyGfzwedTsdyN7LZ7C1f8c9BTCHIZDIWO/r06RM+ffqEbDYLp9MJm80GAAgEAjg+PoZMJoPZbEZPTw9cLtcFV5KEzkJSCj8BsYxN4pxXq1XWYF0o1B7a5BYqR+HOj3bPZ2dnODg4QKVSYbtHi8Vy75SC8PnS/5S4t7+/j8PDQxSLRXg8HoyMjEAmkyEWi4n2Hb6PELNsSqUSotEoTk9PEY/HWU0wuVyOTCaDYDCIYDCI8/NzaLVa+P1+TE9Ps258lKsgBZg7C0kpXDMoVZ/YI+QTvc/JR9eBVhYSZTlHo1HmX6f+FERZvW9KQQh69plMBkdHR9jd3UU6nYbNZsPY2BgGBgaQyWSgUCjYOPHZ3L/KfCkWi4jFYojH46jVarDZbLDb7bDb7dDr9exe4/E4EokEqzQsl8sxODjIWEgSOgtJKVwjxIJgQiodfe5XWuxXBX//1GeiUCggGAwy/3qj0YDb7cbAwADsdvu9bFovZJ5Rv41QKISdnR0EAgEYjUa43W54PB5oNBqkUilWIJCoqHwtpPua1c2PAyn/VCrFiAc+nw+PHj2CzWZD/v+3d+bPaZtpHP8iBBKnBEhcBkxscNxtts02nZ3+/zOd6exsdnfSbOL4xAeXwYA4JZBgf8i87wiCHbe1U7N5PjMdx1wCFb9fvc/xfcZj6LqOUCiEf/zjH7i4uOCTDVVVRTQa5d3dm3guNgUShQfG4/Hw+OeqiRd9kZdxHAeDwQBHR0f45z//iUajgVQqhVKphGw2i2g0urG7BLcwsI7tSqWCo6MjDAYDaJoGVVXh9/sxmUzQ7/cxHo8xnU55lY5pmphMJphOp/D5fBsVV1/NK7AQYafTwWg0Qjwex7Nnz7Czs4Pt7W3E43E4jgNVVSEIAhqNBm5ubnB5eYlKpYL9/X3Yts13U5tyHjYREoU/wLoEMquuYVfDd9VXf81fbpZYvrq6wvv373FycoJIJIJvv/0Wz58/5wum2+JgU8+VZVlot9s4Pz/H6ekpTNNEIBCALMu4ublZ2kV0Oh0MBgPU63UcHBwgFothPp8jmUwiEomsHeH6lHHvitn/c9bEmM1m+ediO0Jd17G9vY1SqYR6vY6bmxsYhoHJZPLJVDrGpn4vniqb9Q17IqwTA3cSddXNcd2C9jV9kd3lmizHwsJGHz584FU45XIZr169Qj6f58OINuE8rStHZQshy5l0u120Wi1Uq1U0m01cXV3h9evXkGWZmwV2Oh20222+O7AsC/1+H6PRCK9evYIsyxvR2b3u4of9tG17ySqd2aMz/H4/VFVFoVBAPp+HaZqwbfuTsaRfYxXfl4JE4QG5rfx0XdPa1wgrPTVNE5eXl3j37h0qlQokScL333+Pn376iQ8hZ4si8PH8iaIIURQ3QiRWEQQBfr8fiUQC+XwejuNgOp2i1+vxCwjLsjAejzGbzeA4DizL4iW6w+EQ0+l0Y20vGD6fD9FoFOFwmAshW/QZi8XH8bWqqkLTNFSr1bVdzet+Jx4GEoU/yF1fzHX3fU1fZHcnN0u4TiYTNBoN/Oc//8F///tfTCYTFAoFvHjxAsViEY7j8Bj8eDyGx+NBMBh80rXqt70n9tllWUY6ncbf/vY3KIqCdrvNF3k2RKjb7eLo6AgHBwfo9/vIZDL47rvv8OOPP2Jvbw+KosDr9W5EGO22Cx/WqJZKpeA4Dk86W5bFbbLZ81knu9fr/SSfcptIEA8DiQLxqLh7EizLQr1ex5s3b/DLL7/g6uoK8XgcXq8Xtm2jXq+j0WjAtm0YhoHhcIhIJILt7W0EAoE/+6PcybqQCVsc/X4/NE2DLMsoFAqwLAuO4wD4ePU8m81weXmJQCCATqcDQRCwvb2NV69e4aeffkI+n0cwGOSisO54m0AgEEA+n0cmk+FhNDY7YbXju91uo9PpwOfzIR6PL1miEI8LiQLxaLhDZqZpotVq4e3bt/j555/x73//G+PxGKZpwufzoVar8YWP7SgWiwXK5TIymcxGLwgejwd+vx+xWAzRaHRJMHw+Hx9JyiaMybIMRVGQSqWQSqUQj8c3qmlrtfyaIcsystksMpkM6vU62u02qtUq6vU6ZFmGJEmYTCZotVq4uLjAzc0Nzy+wnZL7NTfhXGwiJArEo+M4DgzDwNHREV6/fo3Xr1/j9PSUN3Q1Go1PhqmweQv5fB6CIGxcPmE1GcoKENZVDwUCAQQCAZ50FUWRj+Jks6rdxoBP/Tys6/QHAEmSkE6nsb29jdPTUzSbTRwcHCAcDsO2bUQiEQyHQxwfH+Pi4gK2bSObzeLZs2dcFKiC7/EhUSAenfl8DtM0ecI0HA5ja2vrE/dLdxe4oijIZrPIZrMbWYoJfOoWuq4Qwev1wnEcPo94a2sL0WgUxWKR1+yzUNOmL35+vx/xeBylUgnNZpPnUn799VcYhoFIJALTNHF9fc09ob755hsUCgWEw+GN//ybwub9pREbCUu2vnz5EtlsFuPxeKmDl5Urzudz+P1+JJNJlMtl7O3t8cVx0xaFu97vqliEw2EUi0X8/e9/h23beP78OXK5HCRJWup52aRzsPpeRVHkn3M6nUKSJJydnaHf7+Pw8JD3KoiiiO3tbezv7+Pbb7/lne2rn/9LnovVcNhv2bF87ntw3+N/rorxoc4HiQLx6AiCgEgkgmKxCF3XYZomL71kV8FMFJhltqqqSCQSiEajS0PbN5G7qtDYHzvze2IeQLquQ1XVjQub3QXr8Nc0jdulx2Ix1Go1XmnG+hRKpRL29vaQTqcRCASedCk3c0R28xBhrXW5ky9xHjyLp3y2if8LmEkg2wmwHYK79BAAFwhRFHmjlnvuwqbxuT8t9/3MH8myLHg8HkiStOTzs0m7hPt8btM0YRgG2u02DMOAZVm8RyEUCkHTNCQSiU+qrtz82TuF27zMVsOF99kx3nVMdrx1PMbOiUSBeHTWfbnXVae4rUI2ZQH8I6z707stTPD/cj7Y52EXB7PZjPdssDCZz+eD3+9/UhcEt/2/Wm1QXXfbfcOI7Dmrx7pvLxSJAkEQG8d9z767IwAADhlJREFUy0mfggjeZ8fz/ygKlFMgCOKLwfyg3L8/RdYt1u6fbtbt6tZ5Yd2X35o/eOhzSKJAEMQXZ92Cu85Q8CmKxmqpsXvX85Dv97bX/SOCcx9IFAiC+FN5yhHs2xZlVjnnzoOtziH/PbjtPlhFHnt9d3Pnuuc8FCQKBEF8MZ6yAKxjNWbPFurpdIrZbAYA8Hq9Dz4hkB1rPB5jNBpBEAQEg8El+/TH2kWRKBAE8UW5z2J2n9DRXVVt6x73RxZRVj49m824WaPH89HBNxgMfvLYdX0Ln/sMbtjz2QjT4XCIUCiETCYDTdMe1TGYRIEgiC/GfRey+3QBrwujrC7I6+Lv930P7uMwQej1ejg/P4dhGFBVFblcjoeO1vUcuMNBt4Wi3D9Xw0OCIMCyLJycnPDbVFX9ZEztQ4aQSBQIgnhS3GdxW+cntS55zW5nt/2e8NVi8dHOu16v4/T0FNVqFaIoIhKJLDVYrlYsrb6n34ogCJBlGaIo4vr6Gt1uF7qu80FUjzW/nESBIIgvzkNYQKxeZX+u1PWuip11IsKwbRu9Xg8HBwf49ddfsVgssL+/j1gshkAgsLRLcL8n9+9MNNzHW9e4ye7zeDzcCkSSJL5L6ff7fMY3Sz4/NCQKBEFsJKwKaDXc4q7eYZ3T7vuA+zWELRaLpZDR4eEhqtUqCoUCMpkMdF3nCWZm7OiGdWmvWpWw97WuSW01sS2KIvx+P/x+PwRBwHQ65fM3HmteN4kCQRAbBWuAm0wmGI/HmE6nWCw+GimGw2FIksTnYI9GI0wmE3i9XoRCIQQCgXvZsHs8HjiOg36/j7OzM7x9+xa1Wg2yLPPpcYFAgM/Sns1m8Hg8PJzE7OKn0yk8no8jWdlsDBaOmkwm/Hnu+4HlHIHX6+X3sRnnzDzyoctRARIFgiA2EDaytV6vo9PpwHEc6LqOXC6HeDyO6XSKm5sbXF1dodfrIRgMIp/PI5lMfjYWzzyYZrMZms0m3r17h7dv38I0Tezt7aFYLEJRFHg8HvR6PbTbbQwGAz521T0XotfrYbFYIBaL8Sl6i8UChmGg0WjAMAx4vV5omoZUKgVFUSCK4tIOg4WJFouPRoKj0Qiz2ezRyntJFAiC2Dhs2+ZX8cfHxxgMBigWizw802q1cHJyguPjYxiGgUwmA1mWoaoqZFm+87XZlXy328Xx8THevXuHWq2GXC6HcrmMQqEASZJgmiZqtRrevXuHVqvFLb/j8Thubm7w4cMHXF1dYTaboVAo4MWLF9wE8PLyEgcHB6jVapAkCeVyGQB4YtnNfD6HZVkYDAYwDIPvjubz+aMkm0kUCILYSFh45/z8HJVKBa1WC8FgEIZh4OzsDB8+fECj0cB8PueLOLNtX8UdhlksFhiNRqhWq3j//j0qlQoWiwVyuRx2d3eRTCYBgO9U3rx5g2q1ikwmA1EUMRqNUKvV8PbtWxwdHcEwDOzs7PCr/clkgpOTE7x58wZnZ2f8vem6jkwmszRljgkUsxlPJpOwLGspl/J7q6pug0SBIIiNw+fzIRqNIpVKIRaL4eTkBCcnJxBFEbquYzgcwrZtpFIpRKNR7OzsIB6P8xkVdzGfz2EYBi4uLlCpVNDv95HJZJDNZqHrOs8ZsHBOp9NBs9mEIAhoNBrw+XxYLBYIhUKQJAmGYeD09BSpVAqyLPN8RTAYhMfjwWAwQLfbxWg04gN73Eln27YxGAzQ6/VgmiZ/n9S8RhAEgY9Xzz6fD4lEAvv7+xiPx+j3+3jz5g3+9a9/Qdd1lMtl/PWvf0WxWEQikYCiKFBVdamElJVzrtp5O46DbreLarUKwzAQCASQTqeh6/pS6Gk13m/bNmazGWRZhqZpCIVCWCwW6Ha7GA6HvNcglUphd3cXiqLAtm00m00+YXC1U5lVWFmWBdu2l5LOq+//oSBRIAhi42DVROl0GuVyGbVaDZVKBYeHh1AUBTs7O/jxxx+Ry+UQjUbvNKtzh19YGWqn00Gj0YBt28hkMkszs9nj3B5I0+kUjuNAkiRomoZ4PA4AfHKc4zh85GgqlYKmaVgsFohEIphMJtA0Daqq8p2Mu6SWhbt8Ph8ikQgikQgXhcfYLZAoEASxkbDmLkVR+EJbq9WQTCaxv7+PZ8+eIRQK8Xr+u5rb2O+s5LPT6aDb7UKSJBSLRZTLZaRSqaW+hH6/j1arBcMw4PF4EIvFsLW1hWQyCVEUMRwO0Wq1MJlMEAqFkEwmUSgUkM/nIQgCTNOEZVmQJAnxeByqqi6VpDqOg9FohH6/j+l0ClmWEY1GEQqF4Pf7Hy189DRm3REEQfwOBEGAKIqQJImb00WjUb54MgsKFupx/3SzKgqsyicQCCCbzSKZTCIYDPKQzWw2w83NDer1OobDIVRVxfPnz1EqlaCqKmzbRqvVQqvVAgAUCgW8fPkSL168gK7rmM1mGAwGmM/niEQiUBRlScDYMdrtNi4uLmAYBnw+H3dJfcyRtSQKBEFsFO7F0LZtjEYjtNtttFotDAYD3sy2zgbiNvsLd7jGsiyYpon5fI5QKIRYLMYFgYWZLMtCv99Hv9+HIAjI5/N48eIFisUi/H4/RqMRWq0WRqMRNE3Dy5cv8cMPP/D7WbjLcRyerwiFQkt5AtM0cX5+jvfv33MDvlgsBlmWH3V2NYkCQRAbBVvAZ7MZhsMhbm5u0Gw20Ww20W630ev1MBqNeHL2NpO6VTFgIZvZbMZ7AGRZRjAY5GEdx3F4NZBhGJjP54jH49jZ2UGhUICiKNxeu9/vw+v1Ynd3Fy9fvkShUIDP58NwOOQ9FPP5HJlMBslkklcmseP0ej2cnJzg7OwMwMfdRjqdvtVv6aGgnAJBEE8Wt/U0W7BZUteyLNzc3KDb7cLn80HTNFxfX/OwS7PZRCQS4SEXFnb53PGYQHi9XkiSxB1Jmb2GZVm4vr7G1dUVTNNEOp3G7u4udF3nfQrtdhvj8RihUAg7OzsolUqIxWJ8PkKlUkG9XoeiKDzU5W5aG4/HqNVqODk5QbvdhqZpKJVKPK/h7mMgmwuCIL4K3FfBzOuo0+mg3W5zqwfmL1QsFnlDl8fjwenpKWRZ5lfhsVgMXq93rSjcZr0tiiL/j4WiHMeBYRioVquoVquYz+fI5XLY3t5GIBDgndbdbhfz+Zxbb2iaBr/fj+vra1xcXKBarXLPJNZQ5/Yy6vV6XDgEQUChUMDu7i4SicSj5hMAEgWCIJ4Yq/bT7tGUV1dXODw8RKvVgiAIUFUVuq4jm80iGAxiMBjg+PgYh4eHME0T33zzDS/lXH19YP3QHY/HA6/XC1EU4fP5lkSBhYZarRZM04SiKMjn80ilUpAkCZZlYTweYzKZIBgMIp1OI5vN8nxBv9/H5eUlms0mJpMJLMvCZDLhthVsB9RqtXB5eYnhcIhYLIZSqYRisQhVVZdyG79laNB9IVEgCOLJwyafsTLPZrOJcDgMTdOgaRq2trYQiUQwGAxgWRYMw8BkMoHjOHyBv48dBKtmYo93L7rs+ZZl8V2ApmkoFouIxWIQBAG2bcPj8SAUCmFrawvb29tIJpNLZbGO40AURQSDQQQCgaXw1HQ6xfX1Nc7OznB9fY1wOIydnR3s7+9D13VIksTzJNTRTBDEV8Oqrw+L8YfDYSSTSfj9fiiKgmKxiGw2C1VVIUkS9vf3AQCtVguRSAT5fB7xeBySJC291mrXMFv8vV7v0u7AnWNgj/P7/dB1HcFgEKlUCvl8ns9p9ng8iEQiyOVysG0b2WwWiqLw44RCIeTzeTx//pwnqFOp1JLlxdnZGU5PT2FZForFIn744Qc8e/aMN865PwfjIQWCRIEgiCcNW/xkWUY6nYYoirAsC6FQCIlEArFYDJIkQRRFFAoFHkZiyWfWKcy4awFlyeVAIMBtJ9zCwEJWOzs7AD7OS47H4/B6vZjP5/D7/UgkErxaiSWRGYqiYG9vjze/bW1tIZfL8dkM19fXOD4+RrPZhKIo+Mtf/sJ3CQ9tfHcbJAoEQTw53FfD7Ao9EAhA13WoqspLRllVEUsie71eBAIBOI7Dh96wUBB73dXjuGFd0qqqIpFIIBQK8cfM53MuCux29vqsW9rv9yMWiyEajQIAz0uw1wgGg8jlcrx0VZZlnqBut9s4Pz9Hs9mEz+fjYaNkMglJktbuDiinQBDEV8HqFbF70WehmnXJVnalvy7EctekMvdrMUO7bDYLURSXegIEQeBT0txiwZ7r9Xo/MbVz/1sURUQiEYTD4aVmOTby8/z8HNPpFNlsFuVyGVtbWzxJ/Vh9CauQKBAE8aRZTfbedt+65wGfdxF1iwW7+o/H4zwvwHYCbKfgrv5Z5bY+CCZS7H5mkmdZFreyqFQqGI1GyGQyvNqImfmtm+f8WJAoEATxpHAPuF+9fd3vq0ljdpv737e9zrqQjNfrRTQaRTqdhmmaPHTj3hG4n8NE4nONcevun0wmaLVaqNVqGI/HPPlcKpV4buK2stnbhPKPQqJAEMST5T4L3joBWCcId72We4EVBIFPP5tOpzxPwcJCn1ukf8tnEUUR4XAY6XQasVgMsVgMuVxuqYx13XHuuwv6PXgWXyKdTRAEsSGwXYHjOPw2FjZ6aCM627ZhWdYnfkuPaY39OUgUCIIgCA65pBIEQRAcEgWCIAiCQ6JAEARBcEgUCIIgCA6JAkEQBMEhUSAIgiA4JAoEQRAEh0SBIAiC4JAoEARBEBwSBYIgCIJDokAQBEFwSBQIgiAIDokCQRAEwSFRIAiCIDgkCgRBEASHRIEgCILgkCgQBEEQHBIFgiAIgkOiQBAEQXBIFAiCIAgOiQJBEATB+R/OwUxv3EFw0QAAAABJRU5ErkJggg==)
If A and G are A.M and G.M between two positive numbers a and b are connected by the relation A+G=a-b then the numbers are in the ratio
We have to be careful while solving quadratic equation questions as there are chances of mistakes with the signs while finding the roots. Sometimes the students try to use factorisation methods to solve the quadratic equation, but in this type of questions, it is not recommended at all. Always try to use the quadratic formula for solving. You can also remember the statement to be proved, given in the question as a property for two positive numbers.
If A and G are A.M and G.M between two positive numbers a and b are connected by the relation A+G=a-b then the numbers are in the ratio
We have to be careful while solving quadratic equation questions as there are chances of mistakes with the signs while finding the roots. Sometimes the students try to use factorisation methods to solve the quadratic equation, but in this type of questions, it is not recommended at all. Always try to use the quadratic formula for solving. You can also remember the statement to be proved, given in the question as a property for two positive numbers.
If
where a<1, b<1 then
If
where a<1, b<1 then
If l, m, n are the
terms of a G.P which are +ve, then ![open vertical bar table attributes columnalign left end attributes row cell l o g invisible function application l end cell p 1 row cell l o g invisible function application m end cell q 1 row cell l o g invisible function application n end cell r 1 end table close vertical bar equals](data:image/png;base64,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)
If l, m, n are the
terms of a G.P which are +ve, then ![open vertical bar table attributes columnalign left end attributes row cell l o g invisible function application l end cell p 1 row cell l o g invisible function application m end cell q 1 row cell l o g invisible function application n end cell r 1 end table close vertical bar equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAG4AAABGCAYAAAAtpKGgAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAo9ZE6ZAAABBtJREFUeNrtXFGEVFEYvsYaayTWylgjkSTpYUjSQ1YkGcnal+xT1pKekhXJWquHXkZ6WOklWelhGdmn7NtaSXrpYfWQLEmSZFkrIysx/b/7X27XPTP3zJw5995zv4/v4R53/nPu/eb855x7PsfzfHQ8wAY6mQ8IQDgIB+EgHJAz4X4TSxYe0FY9g+I4cZG4lWXhjhE/WHgZtuoxgRfEGxqCpCLcFHHVwsuwVU8aGSsV4ZaIdyNlh4jPiG3iPvE5cTTmtxVik7gj970kPo6Jp6rHFDj2AvE+8Ye0ZZM44bJwLekNAcYkpc3KeHRQekoz8rsR4msRY0Q4T/wbiaeqxyQ49mdpy5i0+5GBHp5p4baJtdB1UwQI46jcFwYP3g8U8SYS1GMSHPtkpIz/cL9cFa4kM73w9U5MWuTrvUgZp6TxmHjtBPWYhCr2qMvCnZWxIMBp4huD9/UqNwFV7HPEDVeFmyGuhK6vyngRxe1IWpyWKXOveL3KTUAVe17SuZPCLct6JcBl4npMKvpIPBEReFWx/plLUI9JLMtEKoyyTLCcnVWuERuRmeJ34hW5rsk9CzED/09iXa7rshTg304mqMck1mRycjHS5lmX13G7MROR89LD/hA/dXkB3Ou+yn3viZdkYlNKWI8p7MoyY1uWIlsGlh2dGGZuOWAKp1L4MlIW4fLyhSV14Xi8exIaQ84Q30bGQRtoSFqEcAlxQCYFbVlDrUuPs43r0g4IB0A4CAfhIBwA4QAIB+EgHIQDIByEG17AvPgdbQG+ypwCvsqCpEBnfZVBHVXP/yjMm7BsNgo2V9lSx3Y63qJhg8+9Pp41+PC95/X2eNoSrpOAfVdsw1fZEvF4w3VG7j1C/OL5W0Mc55qUH5YXX9V4wdzOzUibl+T5p1ztcTZ8lVy2IX+KMNjq8FRRruMXWVT0rEG9nIX2VQZ1VDTLdfBNUuWgcXKTKm34KnW9lroezLqk2kHj5KrH2fBV6notdT2Yuh5PJ4Sz4atUeSp1y7stZ1pd1mJOCmfDV6nyVOqWq1CRP1Y9lMZfSVsargpnw1ep8lTqlndDVQTnZcQ74gVvMC8nfJUpoRwzC87CF5bUhcuKr1IF235L+CoNwbbfEvtxOQWEg3AQDsIBEA7CQTgIB0A4CAfhIFwiwFf5P+CrzCngqyxICnTaV3nH8/fNViQ1837ZLUPPGTzDTc/fG9z3zJyNWfjzKlsiEos2KXFr8oIrBp6T4/OO90PPtxIWosfZ8lXG+T+4140beE6OP12kVGnLVxl3huWIZ+YMy2GehVno8yq7nSdp4gzLYZ6FCV9lwnv7wTDPwiy8r1J1huWcgWc0FSdXwmXRV6mLYZ6FCV9lwrr7wTDOwoSvEl9YsiVc1n2VEE6BrPsqIRwA4SBcAvwDEQcU0KBixjEAAAINdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mZW5jZWQgY2xvc2U9InwiIG9wZW49InwiIHNlcGFyYXRvcnM9InwiPjxtdGFibGUgY29sdW1uYWxpZ249ImxlZnQiPjxtdHI+PG10ZD48bWk+bDwvbWk+PG1pPm88L21pPjxtaT5nPC9taT48bW8+JiN4MjA2MTs8L21vPjxtaT5sPC9taT48L210ZD48bXRkPjxtaT5wPC9taT48L210ZD48bXRkPjxtbj4xPC9tbj48L210ZD48L210cj48bXRyPjxtdGQ+PG1pPmw8L21pPjxtaT5vPC9taT48bWk+ZzwvbWk+PG1vPiYjeDIwNjE7PC9tbz48bWk+bTwvbWk+PC9tdGQ+PG10ZD48bWk+cTwvbWk+PC9tdGQ+PG10ZD48bW4+MTwvbW4+PC9tdGQ+PC9tdHI+PG10cj48bXRkPjxtaT5sPC9taT48bWk+bzwvbWk+PG1pPmc8L21pPjxtbz4mI3gyMDYxOzwvbW8+PG1pPm48L21pPjwvbXRkPjxtdGQ+PG1pPnI8L21pPjwvbXRkPjxtdGQ+PG1uPjE8L21uPjwvbXRkPjwvbXRyPjwvbXRhYmxlPjwvbWZlbmNlZD48bW8+PTwvbW8+PC9tYXRoPumm9zIAAAAASUVORK5CYII=)
The relationship between force and position is shown in the figure given (in one dimensional case) calculate the work done by the force in displacing a body from x=0 cm to x=5 cm
![](data:image/png;base64,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)
The relationship between force and position is shown in the figure given (in one dimensional case) calculate the work done by the force in displacing a body from x=0 cm to x=5 cm
![](data:image/png;base64,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)
Fifth term of G.P is 2 The product of its first nine terms is
Here note that the fifth term is having fourth power of 2 and not fifth power. We need not to find all nine terms separately; only finding the product is enough because that product will then be written in the form of the term that is known. Terms in a G.P. are having a common ratio in between. That’s why the power of r is increasing as the terms are increasing.
Fifth term of G.P is 2 The product of its first nine terms is
Here note that the fifth term is having fourth power of 2 and not fifth power. We need not to find all nine terms separately; only finding the product is enough because that product will then be written in the form of the term that is known. Terms in a G.P. are having a common ratio in between. That’s why the power of r is increasing as the terms are increasing.