Physics-
General
Easy
Question
The graph of displacement
time is
![](data:image/png;base64,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)
Its corresponding velocity-time graph will be
The correct answer is: ![](data:image/png;base64,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)
We know that the velocity of body is given by the slope of displacement
time graph so it is clear that initially slope of the graph is positive and after some time it becomes zero (corresponding to the peak of graph) and it will become negative
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physics-
The current I drawn from the 5V source will be
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)
The current I drawn from the 5V source will be
![](data:image/png;base64,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)
physics-General
physics-
In the circuit given E=0.6V,
=100
,
. The equivalent resistance of the circuit, in ohm is
![](data:image/png;base64,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)
In the circuit given E=0.6V,
=100
,
. The equivalent resistance of the circuit, in ohm is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYMAAAEpCAYAAABx406aAAAgAElEQVR4nOydV3NbZ5rnf8g5EIkIjGJSsiU5dNvT7pnZntndmbmdmi+w+0Xmy+zV1lbtxVZtupip3rbH3VZbsmSJFnMAQRIEkTNO2Av3OU3JkqzAcAA8vyqWXTYBHhy85/2/T7bpuq4jCIIgjDX2q74AQRAE4eoRMRAEQRBwXvUFjCO6rqPrOpqmcdZLZ7PZfvIjCIJwGYgYXAGDwYBqtcr+/j71eh2bzYbdbsfj8RCJRIhGo0SjUTwejwiCIAiXgojBFdBsNjk+PmZzc5NqtYrb7cbhcOBwOLDb7aTTae7cuYPX673qSxUEYUwQMbhkFEWhWq1ydHREo9FA0zR8Ph8AjUaD1dVVkskkS0tLTExMXPHVCoIwLogYXCK6rjMYDGg2m3Q6HSKRCH6/n2QyiaIo7O3tcXBwQKVSodfrma8RV5EgCBeNiMElomkavV6PVqtFr9djYmKCeDxOJBKh2+3i9/ux2+3PBZUVRUFVVXRdf86VJAIhCMJ5ImJwiWiaRqfToVgssr6+jtPpRFVV2u02/X4fp9PJZ599xo0bN4jH4yiKQqPR4OjoiG63SzKZJBqN4vf7cTgcV/1xBEEYIUQMLhFVVel2u1SrVUqlEoFAgF6vx8HBAe12m1QqxX/8j/+Rzz//HLvdzmAwYDAYUK/XabVaeDwevF4vXq9XxEAQhHNFxOAS0TSNfr9Pr9fD7/fz61//mkQiweHhIUdHR2iaxsTEBJqmYbPZcDgc+P1+0uk07XYbl8tl1iZILEEQhPNExOASGQwGtFotFEUhEAgwNzfH/Pw8mUyGra0tisUiDoeDfr9vnv69Xi+RSASn00m/3xcREAThQpB2FJeIoii0223cbjexWIxAIIDL5SKRSBAKhcwNv9vtomkadrsdl8uFx+PB4/HgdDqx23/8ykQQBEE4T8QyuEScTifhcJj5+XmcTifBYBAAl8tFMplEVVVcLhe9Xu+5jCKn04nX68Vms+FyuUxBEARBOC9EDC4Rt9tNPB4nHA7jcrmeqzCORqM4nU7a7fZPUkcdDodZpSxppYIgXAQ2mWdweSiKQr/fR9M0HA4HHo/HPOVrmoaiKAwGA2w2Gx6Px8wYMgLGxlclgiAIwnkjYnCJnN3QX9WV9MUupq96HxEDQRDOExEDQRAEQbKJBEEQBBEDQRAEAREDQRAEAREDQRAEAREDQRAEASk6OzeMAffw5nUA75MiejZFVRAE4X0RMTgHFEWh2+3SarWAH6uJ3W73a+sEjCIz+FE8jJ+f29yN1xlC4nK5RBAEQXhvRAzOgWazyc7ODt9++y1Op5O/+7u/I5VKvfY1g8GASqWCoij4fD78fr85C/l19Ho9KpUKAF6vl3A4jNMpX6MgCO+H7CLnQKVSYWNjg6+//hqv18unn35KPB5/5Ulf13Xa7Tabm5vUajXC4TBTU1Pkcjncbvdr/9bp6SmPHz/G5XIxOTlpdjMVBEF4H2QXeQ90Xafb7XJyckKhUKDVamGz2SiVSkxOTr7y1K7rOrVaja+++oqNjQ1isRi/+tWviMViz7WpPvv7uq5jt9tZW1vjv/23/0Y4HOaTTz4hmUwSCAQu6yMLgjCiiBi8B6qq0mw2qVarNJtNUqkUoVCI4+Nj4vE4fr//J2JgWAXVapVGo0G9Xgfg5OSEUqmE2+1+qbuo2+1SqVQoFArUajUURaFUKplxCmP+gSAIwrsgYvAeKIpCvV6n0Whgt9v58MMP8fl8nJyccHBwYLp9zm7SiqJQqVSoVCokEgmzg6miKBwcHBCNRl8qBs1mkydPnlCpVFhaWjIzl1qtljkS81XN7wRBEH4OOUq+B91ul4ODA6rVKj6fj+vXr7O8vEyn06FUKtFsNs2MIfjRKhgMBqZVkMvluHHjBtlsFkVRTFfTi2iaRq1W47vvvqNWq3Hv3j1u3rxJJBKhXq9TKpWe+zuCIAhvi6Usg7N9+1VVRVVVcwD8ZWKz2V76N41Tt91ux+12U61WyefzdLtd4vE4s7Oz5u82Gg1qtRqRSMQMCquqagpFrVZjYWEBr9dLsVg0RaXVaj1Xr2C8rtlsUigUiMVi3Lhxg3a7zdHREYeHh2iaRjgcfm5Yztl7qKrqc+2zh4FXfQdn//+rXjNMn1M4X97UMn7d7xkp2w6HY6wsbcuJwWAwoNPp0Gg0OD09pd1um5sj/PyX+Cb//VXFXj/3xRtuGIfDgd/v5/DwkP39faLRKPPz8wSDQRqNBk6n00wdTaVS5nhLRVGo1WoUCgWOj4+5c+cOU1NThMNher2eaRm0Wi08Ho8pIsapPx6Pk0wmiUQi+Hw+KpUKf/jDH0gmkywtLRGNRs1rNSyQWq1Go9Gg1+uhKMo73b83uTc/97tvWmD3vn/HEISLEsCL2BzO+z3f9/0ual7GZW2s7/J3zj7bPp+PRCJBOBx+bb3QqGEpMYAfN7GDgwP29/ep1Wr0+/3n/r8VxMCYX9zpdAiFQuRyOaampvB6vTSbTSKRCJ1Oh0qlQrvdNl/fbDbNz+VyuQgEAsRiMdxuN8VikXK5zNHRER6Ph7m5OdxutxmX6Ha7JJNJ0uk0Pp8Pn89HMBikXC4zGAxoNpv0ej1sNhudTod6vU65XKZcLlOr1Wi325ciBu87kOd9xEDXdRRFQVVV4GImwg3DJili8G5/R9M0Go0GbrebO3fumM/guGBJMVhbW+PRo0f4/X68Xu9L0y0vgtctorMPiNPpNF0zH330EZOTk8TjcVwuF263m8nJSYrFIvV6nVarhaqqOBwOyuUya2tr6LrOzMwM4XAYm82G3+8nkUhwfHzMxsYGlUqFyclJAoGA6Q4ql8skk0kmJydxu9243W4mJiZMq6NarRKJRHA4HOzt7VEqlUwrq9Vq0e/3f1YMrMC7Xp/NZjMtL1VVcblc+Hw+PB4PgLiOLIBV157REaDT6fDo0SO63a75TEajUcte93ljKTEw3ESnp6emT904cb/ov3ubh/tVJ5233SCM97Hb7Xg8HgKBAKFQiEAggMfjMWcX53I5Wq0WxWLR3IgBMzYwOzvL0tKSuZE7HA7i8TipVIqvvvqKQqHA559/TiQSod1us7e3x/HxMUtLS6TTadxuN06nk0gkwgcffEC1WqVQKOD1egkGg2ag+cMPPySdTmOz2d449nLRm+Z5vv/Z93I4HHS7XY6Ojuj3+wQCAaLRKMFgcKg+k5UY1s/1ptd9Ni5lHLq+/PJL9vb2qFarDAaDob0H74LlxEBVVdPdsbCwYKZrWiGH/k3MZ4/HQzqd5ujoiL29PTPbp9vtUiwW6ff7xONx5ubmngv4RiIRUqkUqqpSrVapVCqEQiEzSF2tVvn0009JJpM4nU5sNhuhUIhPPvmE7e1t9vf3cblcxONxnj17hqqq/M3f/A1LS0vm6XgUOduwr9frsbOzQ6/XIxKJkEgkpCBvTHmTTdwQg8FgQLFYZDAYmIe6cUxEsJQYvAwr5c6/yXW4XC4mJiaIxWJ4PB6KxSLtdpuTkxM6nQ4LCwtMT0/j9XqfEzi73U4kEuGzzz4zC9B6vR69Xo9qtWq6pQKBgBlQ9/l8zM7O0m63WV1dZWNjg+PjYzO7KRwOj7QQwPPfyds0/BNGm7eJcTWbTdbX1/n9739PMBjk888/J5FIWOIAeplYWgzOpkdaof/Om1gGRoA5Go0yMTFhxgHq9TrpdJobN24wOTn5k89js9kIBALcvXuX/f19M1PJOKGcPeUaAmm323G5XEQiEZxOJ4VCAV3XCYVCLCwsmG6oiwoIXiUvntoMV5jxY6wbYTx51an+rGvIZrPRaDTY3d1lb2+PZrNJOp0mm80SiUQsdRC9DMZL+t6Tt1kY4XCYdDrN6ekpT548odFo4Pf7yWQyhMPhl7632+0ml8uRTCYpl8usrq7y9OlTotEot2/fNiuTX7wOr9dLPB6n2Wyyt7fH3Nwc9+7dM91Qo7igjQf1VQ/sOJr5wp95cX28uE4Md3SpVGJ1dZVut8vdu3e5du0agUDAEofPy8bSn3iYH2a/3292Lu33+3g8HsLhsOm6eXEDMywKt9uN3+9HVVXa7TY2m41UKsXc3NwrXT4ej4dUKsXU1BSBQIBr166RzWZxuVyX8VEtwyiKnnD+GFZkuVzm8PCQarVKIBBgbm6O09NTs73MuK0nS4vBMONyuYhGo6TTaSqVCtPT0ySTSTMz6mUYPkq32004HDaDxdlslmQy+crN3ePxkMlkuHfvHoPBgLm5Ofx+P3a7fSRdRILwrhgWY7/fZ39/30y8SCQSTE5OmgWv44iIwQXhdDqZmJjgl7/8JYuLi4TDYVKpFH6//2c352g0yr1797h27RpOp9MsfnnV63w+H9PT0yQSCXRdJxqNmoIzjkIgLiLhdRjV+Y8fP2Z/f587d+4wPz9PJBLB5XI9t37GaR2JGFwQRjHZjRs3UBQFu92Ow+F4ozGVfr/f7EzqcDjwer2vfY1hhZxtRyEIwvMYaaQnJydsbW1xcnKC3W4nm82SyWRwuVzPZRCNkxCAiMGFcTbb56x7501O6oYAGL/vcDjE3SMI74mmabTbbZ4+fcr9+/fJZDIsLy8zOzuLz+czZ4uPKyIGF4ixkZ/lTYthDAH5ue6dgiC8GZ1Oh8PDQ46Pj+n1euRyOa5fv04wGMTpdJoNIcf10CVicMm8S7O2cV2cgnAeGA0MK5UKW1tb9Pt95ubmyOVyRKPRsXYNnUXqDARBGGk0TeP09JSdnR12dnZwuVx88MEHpNPpsZtZ8DpEDARBGEmMU36v12N3d5ft7W3a7TaxWMyc/zHOlsCLiJtIGCmMU56kl443RltqTdOoVqt89913HB0dcfPmTa5du4bf7zcTM4QfETEQBGEkURSFUqnE1tYW9Xodv9/P7Ows6XTabDdxHq3tRwURA0EQRg6jynh9fZ3vv/+eWCzGzMwM2WyWQCAgcYKXYMmYwdmmUuOq0oIgvDuDwYB6vU4+n+fg4IB4PM7i4iITExNjNcrybbCkZWD4e8ethawgCO+HkUZarVY5ODigWq3idDpJpVJkMpk3GnA/rnuOJcVAURQGgwF2u92c6iUIb4MEkMcTXdc5PT1ldXWVBw8eEAwG+c1vfsPc3NwbtYIZ573Gcm6iswNtjH4+giAIr+NsGmk+n2dvb49Wq0U6nebu3bskEom3mn42jljOMpATnSAIb4umaei6TrVaZW1tjVarxb1791hZWSEUCr3VoXJc9x/LiYEgvA/jeqobd4xhNfl8nlarRSAQYHZ2llQq9U5Ty8bxUCpiIIwU4/YACz8KgTGsZmtrC4/HQzqdNueHCG+G5WIGgiAIb4OiKNTrdb7//nsePnxIMBhkfn6ecDg8dqNf3wcRA0EQhhZFUSiXy2xubnJ8fIymaaRSKSYnJ82ZIMKbIW4iYaSQYsXxQdM0ms0mq6urfPnll8RiMT799FPm5uZ+djqg8FNEDARBGEq63S6FQoFCoUCv1yObzXL79m3C4fA7BY1fxjgdKkQMBEEYKow00lqtxubmJu12m4WFBa5du0Y8Hsdut5+LVTBOQgAiBsKIMo6pgeOCpmnU63WOjo44PDzE4XCwsrJiDqs5D4y1M05rSALIwsgxTg/wuGF0Iz04OGBnZ4der0c0GmVubo5oNHrVlzfUiBgIgjAUGE3oGo0G9+/f58GDBySTSZaWlohEIueSRmo0xzTcTOMUhBY3kTByjNMDPC4YQmDMMq7Vang8HqampshkMng8Hvne3xMRA2GkMVqhC8ONpml0Oh12dnZ4/Pgx8XicDz/8kNnZWUKhEHb7+To5JGYgCCPAOD7Io85gMKBcLlMoFCgWi8TjcVZWVojH4280o0D4ecQyEEYSEYLRQVEUarWaOazG7Xabw2rO2yIYZ+ROCoJgWYxhNZubmzx69Ahd1/nFL35BLpcTIThn5G4KgmBZ+v0+e3t7bGxs0Gw2icViXL9+nXg8LtbfOSNiIAiC5TCqjFutFqurq+zv7zM7O8vi4uK5pZG+inGdvS4xA0EQLIWu62iaRq1WI5/P02w28fl8TE9PMzk5KWmkF4SIgTCSSDuK4cWoMs7n8zx79gyPx0M2myWbzRIOh0UILghxEwmCYCmM1tRPnz7lD3/4Az6fj+XlZeLx+KXNKBjHw4SIgTCyyAly+NA0jWq1ys7OjtmaOpFIMDU1JSMsLxgRA0EQLIGu6zSbTdbX1/mXf/kXbDYbf/u3f8vi4iI+n0/E/YIRMRBGlnEz84cV43vq9Xrk83kODg4YDAbkcjnu3r3L5OQkTqdTxOCCkQCyMHKMo793mDHSSOv1OhsbG1QqFZaXl7l58ya5XA6n0ynf5yUgloEgCFeGIdztdptyuczx8TGKojA7O0s6nTbHV4pVcPGIGAiCcGUYaaSHh4dsb2/T6/UIh8NmGqlweYgYCIJwJei6jqqqNJtNvvnmG377298SDoe5cePGhVcZvynjZJFIzEAQhEvHEILT01O2trY4Pj5G0zQymQy5XO7Ksode/JvjFKsQy0AQhEtH13U6nQ67u7vcv38fr9fLX/zFXzA/P08oFDJjBVeBIQjjJAQgYiAIwhXQ7/c5Ojoin89Tq9WYnJzkww8/tFzvoXESBHETCSOJpJdaE+N7aTab7O3tUalUCIfDzMzMMD8/f6XXdrZb6TiuHbEMBEG4NIx6gsPDQ3Z3d7Hb7XzyySfMzs5e9aWNPSIGwkgzjic8K6MoCvv7+6yvr5t9h5aWlojFYld9aWOPiIEwkoibyFoYVca9Xo/Hjx/z6NEjkskkCwsLZsBYvq+rRWIGgiBcKGeH1RQKBer1Ol6vl0wmQyqVslTAeJwRMRAE4UI5O6zmyZMnuN1url+/TjabJRQKyWB7i2C5b8GI6I/rHFJBGDV0XafRaLC+vs63336Lx+Ph5s2bJJNJPB7PVV/eKxk3t5XlLANN09A0DVVVx+7LEIRRpF6vs7u7y+HhIYPBgHg8zvT0NF6v15IHPite02VgKTHQNA1FUeh2u3S7XVRVBcb3yxGEYafZbLK7u8vXX3+Nqqr8u3/371haWsLlcslzbTEs5Sbq9XpUq1UqlQqNRoNer4eqqmiadtWXJgjCG2JY9IPBgHw+z/b2Nu12m2QyyQcffMDk5CQOh+OKr1J4EctYBoZf8fDwkGKxSKVSodls0uv1ZOEIb4WklV4tZ6uM19bWyOfzZLNZlpaWyGazlnUPjTuWsQwURaFarbK3t0e5XKbVanF4eMjJyQmKolz15QmC8IYYB7vj42PK5TIAc3NzTE9PyyxjC2MJMTB6mh8fH5PP56nX63S7Xfb398nn87Tb7XdyFWmaZsYfFEWR06IgXDBnh9VsbGwwGAxIJpNMT08Tj8ev+vKE12AJMVAUhUKhwN7eHsfHx3Q6HQaDAQcHB+zu7lIul+n1em/9vt1ulx9++IG1tbV3FhRhuDBSksVVdDUoikKr1eLx48f87ne/w+PxcP36dSYmJiwxrOZNMNbOuK2fKxUD42Y3m022trbY3d2lXq+jqqo5+MKIITSbzbd+X0VR6HQ6dDodFEURMRCEC0TTNCqVCmtraxwcHKAoCqlUiqmpKfx+/1AWl42TIFxZAFnXdXODPjk5YXNzk0KhgKIo5smu0+lwenpKoVAglUoRjUZxOp2v9Tka6amqqqIoCvF4HIfDMZQLUXh7xvFEZwV0Xafb7bK3t8eXX36Jrut8+umnzM3NEQwGh8YqGGeuNJtIVVWq1SrHx8dUq1U6nQ66ruP1ep+zGo6OjqhWqyiKgsPh+NkA1GAwoFAoUKlUcDgcRKNREQRBuEAURSGfz7O7u0uz2WRhYYGPP/6YVCqF2+0emqDxOHc+uFIx0HWddrtNt9vF7/czMTGB3W6n1Wrh8XhIJBIEg8GfVCTruv7KL8wIYG1vb5PP55mZmSEcDosYjAnj/DBfBcaz2G632d7e5vj4mFgsxuLiIouLi1d9ecJbcGViYLPZcDqdTExMsLi4SDgcplAokM/ncTgctNttfvWrX7GwsEA4HGZ6etqsWnzdw26IQaFQYH9/33z9m1gUwmggrqLLQ9M0BoOBaeHrus6tW7eYmZm56ksT3pIrtQycTiehUAifz0cymSQej+NyuTg4OMDlcnHz5k1u376Ny+XC6/X+bLwA/iQGgwGVapVqtYrP5yMUCknh2hgionCxGHG/fD7P1tYWnU6HWCzGwsKCpJEOIVcqBjabDYfDgcPhwOv10m63CQQCpksnGAwSiUTM33uTk72m6wwUhcFggKbr+Hw+/H6/ZBIJwjljDKt58OABDx484MaNG6ysrDAxMWHpbqTCy7nydhRnN3iXy/Xcpu90Ot86C0Ftt1GqVfx2O7FwGO+fFqVdXESCcG6oqkq9Xiefz1MqlbDZbExOTpLJZAgEAhKfG0KuXAzO8mKxh/Hvb+Tr13VQFLRyGVs+T1rXCU9M4Hf+6SOKGAjCuWBYBIVCgSdPnmCz2bh58yYzMzNm+rcwfFhavt8qM0TT0FstHFtbhL/+mhvb23zU7RIWn/FYIrGCi0PTNMrlMpubmzx9+pRQKMQvfvELstnsyIywHMd4k6Ul/G0tA11VcfT7BLtd/P0+dkXB0+mgKwo2h0OsgzFkmDcmI1On1+uZA+UN7HY7Ho8Ht9t96S6ZVqtFPp83s4fS6TSLi4tDfa8Fi4vBW2G3YwsEcNy6BX4/6pMn0G6jn5ygT0xgS6VAqiCFIcFwxezs7PD06VPq9TqDwQBd13E6nQQCAVZWVlhaWrq0Vg9GXVChUGB1dRVVVfniiy+knmBEGC0xcLuxp9PYgkHsfj96uYwtHP4xnjBmJp8w3GiaRq/XY3t7m3/913/F4XAQDofRdR1N03C73QSDQdM1cxlioGka+Xye9fV1c1jNjRs3SCaTF/63hYtndMQATEGwRaPY790DRUHv98Fu/9FFpOviKhoTht1loeu62bn34cOHLC8vc+3aNQAajQbNZpNGo0Gr1SISiVxo7x9N07DZbHS7XTY2NlhfX2dycpL5+XmSySQ+n29k/OtGnHLY18+7MFpiAD9u9g7Hjz8uFza3+0cRkFS3scCoSXG5XG9UpGhVDMtAURS8Xi/T09N8+OGHeDweDg8PefbsGQ6H45WbsBFvOy+LodVqmRMIAbLZrDm1DIZffA2MzggulwuXyzVWKbKjJwYvIpXHY4PNZsPj8dBqtWi1WjSbTfx+Px6PZ+gq0FVVpdPp4HK5mJqaYnZ2lqmpKex2O6qqUqvVmJiYwOv1mhuW0Yql2+0yGAxM19L7fHajyvj4+Jj19XX6/T6pVIpcLkc8Hh8ZEYA/rx9D4Ix7OS59zUZfDISxwehQe3x8zHfffUcikWB5eZm5uTn8fv9VX95bYYyBdTqdTE9Po+s6T58+ZWdnB5fLxcrKCvPz82YLF/jRmtjf32d9fZ3BYEAqleLOnTv4fL53vg5N02g2m/zwww/87ne/Y3FxkZs3b5JIJEauLbXNZiMajdLpdCgWi3S7Xex2O9PT00O3ft4FEQNhZLDb7fh8PpxOJ51Oh8PDQwDa7TaJRIJAIIDf73/OtWHVE1+/36dareJ2u7l58ybRaNTcmL1eLx6P57nPoigKjUaDYrFIoVBgMBhgt9sZDAbvLAa6rlOr1VhfX2d3d5der0c8Hmd6eppgMDh01tbPYVhS3W6XUqlkTlhsNBpkMhk8Ho/5Y3RKGKX4goiBMHJEIhHm5+c5PDxka2uL9fV1gsEg6XSa+fl5pqencbvduFwuSxZJGWml1WoVv9/PjRs3SCQSKIqCz+fj9PSUUqlELBYjFovhcrno9XocHx/Tbrfx+XzY7XZTDN71GrrdLoVCgX/7t3+j0+nw8ccfs7S0RDgcHjmrAH4UA6OVfjKZpF6v8/TpU1ZXV83/lslkyOVyRCIRPB4PTqdzZERRxEAYKWw2G7FYjJs3b5LJZKhUKpycnHB4eMhXX33Fs2fPWFlZ4caNG0xNTVly8IqiKHS7XTqdDoFAgFwuRzAYpN/vMzs7S6vV4ocffiAQCDA3N4fL5UJVVfr9PoPBwIw3NJtNut0umqa9tQWk6zrlcpnj42N6vR7pdJpPPvmETCZjyXv2vhhWotvtJhwOMzMzg8fjYWJignK5TKVS4Y9//CN2u525uTlu3brF9evXCQQCV33p54aIgTBS2O12QqEQfr+fyclJ83R9cnLC9vY2+/v79Pt9JicnyeVyV325L8UY5OT1egkGg+aG43Q6icfj+P1+KpUKjUYDVVXNzd7j8eDz+fB6vXQ6HeBHn/+7iAFg/o1EIsHS0hIrKyvn+jmthiFwXq+XeDxOIBAgkUiwu7tLq9Vif3+fcrlMuVwmHA6PXLGdiIEwcthsNur1Oo8fP+a7775je3ubdrvNtWvXmJ2dZWVlhenpabxeryVPuA6Hg4mJCT788EOCwaB5jXa7Hb/fz+LiIg6Hg3Q6bZ7SPR4PmUyGaDTK7OwszWYTl8tFNBp9r7hIOBwmk8kwPT19Xh9vKCgWi6yvr7O6usrW1hbVapVYLMbt27dZWFjg+vXr+P3+kXERgYiBMOQY/XtUVTX7+LRaLUqlEuvr6+zs7FCpVEgkEnz88ccsLy8zNTV14YVa74MRyHxZmwmXy0UmkyEWi+F0Os0OoUZefDgcBn4MQOu6/l658i6XC7fbjdPpRPnTjBCXy/Xm/cIsjq7r5roZDAYoigL8OHd9a2uLjY0N9vb2qNVqeL1ebt++za1bt5ienjZnNozCfTAQMRCGmk6nw9HREdVqlXK5zOHhIa1WC7vdjsvl4he/+AXRaJREIkEymSQSiZgZR1bFbrebxXMvw+l0mr/zqo3eELp33axsNhtut5t2u82TJ0/IZDI4nU6i0ehQ1m28jF6vR61Wo1QqcXJyQqlUotVq0ev16Pf7eL1efvnLXxIKhQiFQiSTSaLRKD6f70oaBF401n0iBOEVqKpKu31ELqgAACAASURBVN2mUqlweHhIoVCgXq/T6XTo9/sEAgHS6TTxeJyJiQmi0SiBQOAnKYFW5nXX9zqheN3rDSuq2+2i67o5ZdD4OeuOUlWVYDDIxMQEBwcHnJyc8OjRI5aXl8nlcpZOy30dRnC9VqtxcnJCsVikVCpRq9Xo9Xp4PB5CoRCTk5MkEgnS6TThcNgUAEOIRxERA2GoMDpn7u3t8fDhQzPbBTBFYGFhgeXl5ef87QJ0u11TQHu9Hj6fD4fDgdPpNIXSbreb7ie73U4sFmN6epqtrS0ePnxoxiGCwSAul2uo7q+maXS7XQ4ODtjY2CCfz1OpVFAUxbR65ubmmJubI5VKEQqFLOtKvAhEDIShQtd1jo6O+Prrr/mv//W/kkql+Id/+Afm5+dJJBIEg0Ezm0j4M7quc3h4yOPHj3nw4AHVahWv12umTWqahtfrZWJigng8brrVgsGg+R6dToednR28Xi9LS0tm3GJYUBSF09NTvvnmG7788svnej4ZwfdIJGJakePG8HyTgsCf++80m00qlQqpVMrMdjGqdG02G6qqjoRf+7wwCtnK5TIbGxsUCgVcLhe1Ws2cleDxeEgkEqRSKdLpNI1Gg2QyaRa2+Xw+ms0mxWKRmZmZq/5Ib42xdoy+VYFAgFgsRiaTYWpq6rnZze+ajjvMiBgIQ4Xdbmdqaop//+//PdPT03Q6HU5OTtjZ2aHb7QIwOzvLvXv3iMfjQ3VyvUhsNhszMzMMBgOOjo7M6tmlpSWWlpaw2+1mTYIRDzDiCEazukQiYVbo+v3+obu3TqeTRCLBb37zG27evEm73abdbvPw4UPu379vZmNlMhkWFhZIJBJjJQjD9W0KQ4uRxqcoCpqmAZgtE4zNx/j312Gz2QiHw3i9XtLpNKenpxweHrK3t0ej0aBardLpdHA4HGQyGSYmJgiFQmYG0TD5uM+bYDDIzMwMd+/exW63c3x8zOzsLJ9//rnZv8ioYjZSLQeDAf1+32yn7Xa7iUajQ+mGs9vtZhHf1NQUtVqNw8NDNjc3OT09Na2kWq1Gq9Uim82STCbx+/3PtUQf1TUkYiBcCkb2T7PZpN/vY7PZTNeDz+fD7/ebAc2fwyiyMk5y6XSaTCbD7u4uGxsbVKtVvv32WyYmJkin00xNTZFKpczccEN0RvWhfhnGZw0EAty5c4fBYECpVKLdbtNqtczGd0bQ/WVzEs7WFwzjidmYVQA/Wgk+n49oNEoymaRUKnF6eko+n+f09JRiscj29jYLCwtmSrKRVTSqcw5EDIRL4enTp/zf//t/OTo6otvtYrPZCAQCpFIp7t69y82bN0mn02/l5zesiVAohN1uJxAIMDk5SbPZpNPpsLu7y+PHj3n48CG5XI5PPvmEbDZLOBzG7XZf4Ke1Li6Xi3g8zvLyMu12m2azyTfffMO9e/eYnZ01N7lRF8qzrSeMQLkxp6FSqXB8fMzp6SmPHj2i1+uZIrqwsEA0Gn1ujsSoIGIgXApbW1v8y7/8C5VKxTxh2u12IpEITqeTdDr9XrN0A4EAgUCAbDYLYHbr3NnZMStJB4MBH3zwAUtLS0xMTIxV2qCBYVVNT0/jdDr53e9+x9OnT013WjKZHLpYwPtitKWORqPm+jk4OOD777/n/v37bGxs0O/36XQ6dLtdlpaWSKVSQ+kqex2Of/7nf/7nq74Ig3a7TbFYZHNzk16vx0cffUQ6nR75U8qoYmRvGLntdrudv//7v+ef/umf+Pu//3uzkZxhqqfT6XNL6TMG3aRSKSKRCMVikf/1v/4X9XqdbDZruozGEaNoze12U6/XqdfrZvA9lUqNrdV0FsOFlMlkCIVCdLtd/vjHP7K2tkYoFCIajRKNRq/6Ms8Vyx8BRAiGF13XabVa5PN5ms0moVCIRCJBPB5nMBiYFa6hUOi5Pi+tVotOp2P2wvF6vS/t0/MyNE1DURQ6nQ6dTsdsSRwKhYam+vgycDgcBAIBZmZmaLfbHBwccHBwwMzMDA6H472mow0ruq6bVdpGIN1ms5nr1ii0M37vdSiKQqlUotFooCiKaQmrqorH4yEWixEIBCxlnVpeDIThRdd1Go0GW1tbbG9vc3BwQD6fR1VVjo+PcTgc5HI5ZmZmmJ6exuPx0G63OTw8NBvMTUxMkMvlmJube+0GZaQ/9vt9SqUS+Xye/f19jo+PabVaRKNR/tN/+k+srKywtLQ0cib+u2Ckm7rdblqtlvldORyOoawjeB/O1q/UajXK5TJ7e3tsbGygKAqhUIh//Md/JJvNkkqliMVir3wfm81Gq9Xit7/9LT/88APtdhu3221aYpOTk3zxxRcsLi4Sj8cv+ZO+GsuLwah0SBw3dF1H13Xq9Tpra2uoqsrt27cJBAIcHBzw3Xffkcvl+PTTT81JXg6Hg2azSbvdNn24/X7f7Nv/KlRVNYvQDDfjxsYGDoeDWCzG1NQU6XSadDpNLBYzrYRR4+yzoigKuq6/Np3WZrPh9/tJpVJMT0+zubnJ6uoqDoeDVCplutFG8fkz7pVxiKjX6xSLRQ4ODsyJcWf7XM3OzpJOpwmFQjidzle60oz3bTab5PN5Op0O165dM6u1C4WCWUUfj8dNK7nT6aAoimkJX0UatGXFwNhMhOHFEIPt7W3m5+f59a9/TTabZXNzk/X1daampvj444+ZmZnB6/Wa37nD4SCZTGK32zk6OnruoTDWhGHOdzod6vU61WqV09NTjo6O2NjYYHt7m5WVFZaXl7l16xapVGokN7Wz6LpOp9Oh3W7TaDQYDAZmd02jiMzoPWQ0pzPmIeRyOarVKltbW/j9fvMEbMw6HpV7Z6wxw5XYbrfpdrtmx9u9vT1OT0+x2WykUilWVla4fv06k5OTb/z+xtzkSqWC0+nk+vXrZnO/WCzGycmJ+bcBc8Rps9nE5/OZLqTLDuRbUgzOCoFYBsOLqqq0Wi2KxSLpdBq/308gEGBpaYn//J//szl3wKgVME6qiUSCfD5PtVolHA4/F9Q0TnOGO+jbb781q0ez2SyLi4tcu3aNdrtNPB4nnU4zMTExFmtIURRWV1f5wx/+wMHBAZVKxUzj9fl8RCIRs4ur8U/DUvJ4PMzPz9Pv99nY2OC//Jf/wt/8zd/w0Ucf4ff7R+r+qapKrVbjj3/8Iz/88AONRoNQKMTU1BTXr183YwN+v9+8V2+K0Qzv9PTUnL/94MEDgsEgPp8PRVGYmpriiy++IBaLmXudYd22221UVTVTpi8TS4qBgQjCcKNpGg6HwyzYMTpjxmIxfv3rX7Ozs8P6+jrtdvu5dFOHw0G326XRaJhjHg23jnH6PTw85MmTJ3zzzTesrq4yNTXF3Nwcs7OzTE9Pj9Rp9k3RNI12u83R0RGPHz82M7h8Ph/hcJhoNEqz2aTRaJj/bDQaz2XGRKNRWq0WT58+5ebNm2Z301Hg7CFic3OT+/fvs76+jsvlMusHlpeXyWaz71RDYGzqhqVqdHU9Ojqi1Wphs9nMcauJRIJwOGyue03TaDabqKqKzWZ7KwE6LywvBsaGIgwfuq6TSCT41a9+xezsLOFw+DnT1+v1mv9NVVWcTifdbpdisWg+EJqm0el0zMZzuq5zcnLCgwcP+J//83/S7/f54IMP+OCDD7hx4wapVGrs8uQB07127do1/uqv/op2u00gEOD27dvmZC5js9I0zXy2er0eh4eH7O/vm7MONE1jenoan8/HYDAYGXetseF+//33/O53vyOfzxMIBPjoo4+4fv06s7OzxOPx9yomU1WVk5MT2u02f/EXf8Ff/dVfEY1G+eGHHzg4OOCDDz54rsDSuLeGtQJcWcqqpZ8asQyGG6OY7PPPPzdL+c8+aKFQiFwu99zcAaPFhM/nM9sHvPi6s//d7Xbj9/tpt9scHx/j9/vNdszjlEpqWFWJRAJd19ne3sblchEMBkmn09y6dQv4caaB0SPK6EF0NpXSaEinqqo5J3pUKm0Nl4zT6SQQCBAOh3G5XKZInJ6e4nA40DTtJ9Pc3nQNaZpGrVaj3W4zOztLNpslHo+TzWbZ2dkBMNNL3W63OZ+j2WyiKMpzAnHZWFYMzgqBMHwYla6Tk5OvDL4ZVcNn8fl8TE1NvfZ9w+Ew165d44svvuD09JTBYMD+/r45tjCbzZoDWPx+/3PCMMrY7XY8Hg+pVIrbt28DcHh4SKVSwev1EgqFzIKzF++FYTUYlbb9ft/0c4/KfTNGeRptN7a3t80pZ5ubm1QqFUqlklkLY9QBGB1ejfvwuvthuDG73S7hcJhEIkEkEjELK//P//k/VCoVFhYWTOExgtjG37uqkZqWFQMQIRB+ihFknpmZIRqN0u12GQwGVKtVTk5O2Nvb45tvvqHVarG8vMydO3dYXl6+Eh/sZWNsUm63m+XlZXOQfalU4quvvuLWrVvMzc29dDMzrC2n04nX6zX7+Y+KVQCY8ZN0Ok0kEjEL7hRFMec0fP311xSLReLxOHNzc1y/fp35+XlSqdTPvr8hqMYMZcNqNayraDSK3W6n2WyaiROGYHi9XhRFwW63m0WWl43lxUAEQXgRo4DnrG+13++ztbVFqVQyi86MsY2hUIh+v4+u62aX1GEb2fi2TExMsLCwQLlc5tmzZzx8+NCcZBYMBl8bVxk1ETAwOuUa7rOzvbDK5TIOh4NHjx6xv79vjsMMBAJ4vV4AM7nBcPG87B4abbJjsRjBYPC5U77b7WZychKPx2OmRttsNoLB4HMT5a4Ky4nBWR+viIHwptjtdtLpNL/5zW/48MMPKZfLZvBzdXXV7ES5tLTEp59+SiaTMR/yUcXv9/PBBx/Q7/e5f/8+x8fH5PN5pqamCIfDI7nhvytGynMwGOSv//qvzWr2Xq/Hs2fPePLkCbVajWAwyMrKijkn+UW8Xi+3b9+m1+v9pBmix+Phk08+YTAYEAqFfuIivWrORQyMgSVGlajhlzQW25sMLTFeZwjAiz+C8DqME1koFCKbzdJutymXyxQKBTY3N3n69ClPnz6l1+uxuLj4Xh1SrxIjE8h4JozD08sC5S6Xi0QiwezsrJnhsrGxQSQSIRgMihicwe12E4/HiUajDAYDc/0cHh6yvb3Nzs4Ou7u75pzkdDr9k/cwLA9DJF78TpxOJ5lMBvjxoGu1+38uYlAsFun3+2ZamtPpNIeVeL1eMwDzIsaiNm6akfZm/BhZD2fFZFyyQ4S3w1gjxthGoxFbOBzG4XAwGAzMBniqqg7lAcOonO31evR6PXNDcTqd5iSus5PjjPTRTCbDJ598wu9//3u2traYnZ01R1dabUO6KoyDqOEKcjgcZgHk0dERvV6Per1u7mMvu28/tzdZfe86FzH47//9v9NoNCiXyyiKgs/nI5FIsLy8zL1790gkEi99nRFJNyZflUolKpWKWQxTKpU4Pj7G7XabX5DP5zN9dla+scLlY7PZ6Ha7lEolM3f+8PCQer1OLpfj7t27LC0tMTU1NbTtq1VV5fDwkNXVVfr9Pl6vl2AwaAYjjefD8I07HA5zmM/R0RHr6+t8//33dLtd7t69OzIFZeeBUdNyenrKzs4OhUKBcrlMq9ViYmKC//Af/gNTU1OsrKyMXPtqOCcx+H//7//R6XRoNptommY2d/L7/WZ+88swxKBer6Oqqlk+b4zgM74YY8yc0+kkGo2a5piIgXA2R77T6VCtVikWixQKBTY2NiiXy0SjUe7evcvf/d3fjURBWq1W49mzZ1SrVbxeL5OTk6RSKTMd8uzh6WxTNSPo+f3331OpVIjH4+RyuZ/UcYwDZ3sUdbtds1dQp9OhVCqZA5Gq1SrJZJKbN2/y2WefkcvlrvrSL4xzeTJyuRypVIpr164RCATweDxmRN3YvF+FkYplmL3JZJLPP/8cVVWZnJw0TX/DnXS2glIYT84WITabTba3t1ldXaVQKOBwOEgkEkxNTZHL5Ux30ahM8HK5XMRiMebn59ne3jYDlclkErfbTafT4fj42BzsXqvVaDQatFotdF1nMBhQqVSoVCr0ej2++OIL7t27N/LB9Bcx3EKVSoWHDx+adQbGkKXp6WkWFhZwu90Eg0Gzj9Mocy5Ph8/nMwdAGD1ojCIXn8/3yofQKEwyOvT5fD4zv/fFOIFRbm+8n1gF40273aZUKrG9vc36+jqFQoFut2umkk5PT5t9jQzLctgr2Y1YSCwWY2lpiXq9zsHBgZkqGQgEzKFARkdMRVFotVrU63XTvWqkMZ6cnFCv18fqYGX0J6rX6+TzeXZ2dtje3qZcLgN/npA3OTlJPB43W1afzXAc5jX0Os5FDJrNJltbWxQKBXNzN1KwPvvss1e+zvBnBgIBc3LQyzIjDDEwAmOjmgctvDmlUol//dd/5cmTJ1QqFZaXl/n444+fGz5i5HiP2sMbCoWYn59na2uL3d1dWq0WmqaRSCRwuVxkMhlz0ttZ90ev16PdblOpVOj3+/j9fpLJ5Nj1/qrVaqytrfE//sf/YGtri4WFBZaWllheXiaTyZgD7w232qitn1dxLmKwsrJiWgfG6cPr9ZrNmF57AX+qejQYlxsvvDtG24R+v29mBnW7XbrdrmlhejyekTwwGJXCgUCAubk5s+3x/v4+yWSSRCJBNBolHA6jqqqZkWf0Iup2u2bVrdPpHDsxOJupeDbeZKTFGzMeXpUBOcqcy6e9d+8e8XjczNJ4mw39RRP152aLwvMpWiIe44VR8m+cgM92eyyXy5RKped6Eo0qdrud+fl5nE4nv//978nn88RiMRwOB+l02lKzda2CETR2uVxMTEyYh9hgMIiu65RKJRwOB6qqkkqlCAQCI3mgeBXnIgahUMj0zb6sARb8dNM+W1D2okvI+AJeLLA5+z6j7LsTXo1xMo7H49y5c4elpSV6vR7dbpd6vU6hUDBdIA6HY2Q3RbvdTiQSAf7spv32229RFOWNp3KNG8beEgwGzRbdjUYDu91Ot9ulVquZxYmfffYZ8/PzI9Wo7+c4FzFoNBqmGWrccKMHzIutYM+iaRqtVstsq2uYb/1+/7k2smdjBkZvEGMakTB+OByOn/Rz6XQ6HBwcmCMFe72eOVN2VLHb7YTDYSYnJzk8PKRQKJDNZscqIPy2GJ1dPR6P2bxQ0zTK5TK7u7tsbW1RqVQ4PT0llUrh9XpFDN6GZ8+emacwXddxu92k02lyuRzZbPalr7HZbCiKQqFQ4ODgwGzj2ul02N/fp9PpMD8//9zIQqO+YHJykuXl5ZF+0IW3wzD9r1+/bq6TcUBRFLNw06j2F94ew1owxrQ6nU6zWn1cXEXnIgZn2+IaPrloNPqzxSyGBWFE7w1TzegrvrKyYvaQMeIEDoeDUCg0VkEv4ecxWqAEg8Gf9MoaRYyCqUqlwtbWFqenp2Sz2aHtuXSV2O123G63mQXZaDTMYLsRnxoHzkUM/vIv//KtX2NMHMrlcqTTaTP/9+TkhPX1dTqdDjdu3ODDDz8E+ElcQcRAeBG73f5cptGbJCMMK4ZrY2tri7W1NRRF4Ze//CXT09Nj49Y4T4x7ZqwfYybBOLncrix36uyYQ0N5jdOd0VPFmDIkCG/COG2Cmqbx8OFDvvrqK3w+H8vLy6ysrJBKpcbGrXFRjGun5CtdNS8+vEaBkNH+2ui6OI5fjPD2jMs66fV6lEoltra22N/fJ5VKcevWLTKZjPTsOges3l30orBUVcXLHmZJIRXehVE93Q0GAw4ODnj8+DE2m43PP/+cu3fvks1m5TkR3gvL2ZNn5xuM4sMsXByjvhkqikKj0eDg4ICNjQ18Ph/37t1jdnbWHHYvCO+K5cTAQEZfCsKf0XWdTqdDsVjk+PiYZrNJPB5neXnZLD4ThPfBUm4ikBnIgvAyut0uxWKRR48eUalUuHHjBvPz8wQCAcmsE84FS1oGZ91EIgbCuKNpGqenp+zt7bG7uwvA3bt3mZmZueIrE0YJy1kGLyJiILwto3KIMOJnmqaxsbHBkydPiMfjLCwsMDk5SSAQkDiBcG5YUgyModRn3UWCMG7ouk6j0eD4+Jj9/X3a7TaLi4vMzs4SDAalnkA4VywnBkadgdPpNOsO5PQjjBvGiMrt7W3u379Pu90ml8uZE9xECITzxnIr6myswBAFEQNh3Oj3+xSLRdbW1nj8+DF2u52lpSXS6bS4h4QLwVKWgSEERjtsGW8pjCPGwJ7t7W329vbodDqkUimWlpaIRCLyTAgXgqXEwGg/YYzmG+Wuk4LwKur1Oru7u3z77be43W7+6Z/+icXFxbGbvCVcLpYSA/gxjc6YTTrKXScF4WWoqmoGjJvNJsvLy3zxxRd4vV5JpBAuFMuJgSC8D8NasGg0ZGw2m+zs7HBycsLKyooMcRIuDREDQbAIpVKJnZ0disUiLpeLubk5stmsWWEsQWPhIrG0GAzTyU4Q3gXDglFVld3dXe7fv4/D4WB6eppMJkM0Gr3qSxTGBEtGo6S2QHhfhsVNZLPZ6Pf7HB8fm9lDwWDQnP8tLiLhsrCkGAjCuKCqKpVKhbW1NU5OTvD7/WSzWXK5HD6f76ovTxgjRAwE4Yo4GzD+t3/7NwD+9m//lpWVFbxer1jHwqUiYiCMFMO0gXY6HdbX13n27BndbpdkMsnKygrJZFLGVwqXjgSQhZFiGNaM0XeoVCrxxz/+kUKhwMLCAouLi4RCIdxu91VfojCGWFYMJIgsjCq6rrO3t8fTp09pNptMTk5y584dZmdnRQiumLOJB+O2B1lSDMbpCxDGh7PtVnZ3d1lfXycUCrG0tMTKygp+v38oLJtRxhADm802dq0/LCkGBme/GEF4E6w8A0PXdVqtFsVikVqthtvtZnl5mZWVFTweDyAHoavGEGxjpso4CcL4fFJBuELOxgl++OEHcz7BzMwMiURirDYdK/Oii2icxFlWoCBcAoqi0G632d/f58GDB6iqyvXr15mYmDCHOAnWwRAFK1qYF4Wl3UQG4ioShhlVVanX6zx9+pStrS3cbjeJRIJUKiVtqS3MOAkBWFQMxs08E0YXXddpt9sUCgUePXpEs9lkcXGRubk5AoGA1BMIlsGSYiAI74tVehPZbDa2t7f59ttvqVarZDIZ7t69Szqdxu12ixAIlsGSYnD2IRYXkfC2WEEEDDHqdDrs7u6Sz+eJRCLMz88zOzuL02nJR08YYyy5Iq2cHihYn7OHh6s6TKiqSqlUYnd3l+PjY/x+P7dv32ZlZUViBIIlsaQYCML7cNWZIKqq0uv12N7e5ssvv8Tr9bKyssLCwoKkkQqWxbKrUlxDwvtwVUKg6zq9Xo9qtcrW1haPHj3C7/fz0UcfmXECQbAilhUDEEEQhg9VVanVajx9+pRer8fnn3/OzZs3iUajMqhGsDSWdhNJzEAYJnRdp9FocHR0xPb2Nn6/n1/+8pdkMhlJIRUsj6UtAxBBEIYHTdPI5/Nsbm7S7/eJRCJks1nC4bDECQTLYznL4GUFZ5JeKlidbrdLqVRifX2dQqFAIpEgm80SDAZxOp1yqBEsj+XEQBCGDVVVKRaLrK6usrm5iaqqLCwsMD8/b1oEcpgRrI5lbVd5eIT34bJO4qqq0ul0WFtb4+uvv8Zms3Hjxg1mZmaIRqPiHhKGBlmpwshy0YKgaZrZd2h3d5disWi2m0gmk9KNVBgqLOsmEh+r8L5c9EasqipHR0d89dVXdLtd/vIv/5Jbt26RSCRwOBwX+rcF4byxpGUgXUuF8+AiDxSKolAqldjf36dQKOD3+7l37x6zs7P4/X5Zv8LQYUkxMLBK50lhuLjodaNpGs1mk42NDfb29ggGg2SzWdLpNIFAQIRAGEosLQaCYEUajQb5fJ6dnR3a7TaLi4tcu3YNv98vAWNhaJGVKwhvgGFpaJrGyckJW1tbVCoVAoEAN2/eZGZmRoRAGGpk9QrCG2Cz2cyh9vl8nvX1dSYmJlhZWSGRSODxeMQ9JAw1ls0mkgdLsBKaplGv18nn8+TzeRRFIZvNMjc3h8/nA2TNCsONJcVAHirBSui6jqIobG5u8r//9//G7XabhWXSd0gYFWQVC8LP0Ov12NvbM/sOeb1eFhcXSaVSeL1eObwII4ElLQMDSS0V3pXzWjeqqlKtVvn+++/Z29sjFosxNzfH9PQ0wWBQhEAYGSwtBoLwPpyHIJycnLC+vs7u7i4+n4/PPvuMhYUFKSwTRg5Li4E8bML78j7tz1VVpVAosL29jaIozM/P84tf/AKv13vOVykIV49lxUCEQHgf3sfFqGkaqqrSbDbJ5/MUi0UWFha4ceMGTqdlHxlBeC8subINIZB4gXDZ6LpuFpZtbm5yenpKKBRidnaWbDYrmUPCyGL5lS2CIFwmmqYxGAzY2dnht7/9Lb1ej+vXr5PNZgkEAiIGwshiSctAEK6KTqfDwcEBhUIBVVWJxWJMTU0RiUSkLbUw0lj2mCMxA+GyGQwGVCoVfvjhB05PT8nlcszOzpJMJvF4PFd9eYJwoVhWDAThXXnX4HGj0WB3d5eHDx/S6XT49NNPWVxcxOfzyeFEGHmGwk0kcQPhItF1nU6nw9bWljnQPpFIMD8/TygUeq/0VEEYFiwtBlKBLFw0uq6bDeju37/P0dERt2/f5tatW6ZrSIRAGAcs6SaSh0+4DHRdR1VV8vk83377Lb1ej9nZWW7evMn09LTUFAhjhSXFAGQOsnCxGCmkzWaT3d1dnj17RiwW49NPP2V+fl66kQpjhxx9hJHCOES8iYux2Wyyvb1No9Egk8kwPz9PLpcz5xMIwjhhaTGQeIFwEei6Trfb5eTkhLW1NQaDAYuLi0xPT4tFIIwtllv1L7qGRBCEt+FNLAJFUSiXy+zt7ZnZQ4uLi8TjcXFNCmOLJS0DeSCFi8KYT/D06VN2dnaIRqNMTU2RSCSknkAYaywpBiCCILwbLyYevGglNBoN9vf3efToEe12m7/+679mYWEBj8eD3W6XdSeMLtml0QAABApJREFULZYVA0F4X17mLsrn8/zhD3+g3+8zPT3NtWvXSKfTkr0mjD2WixkIwvvyYtzAaEvd6XTY3d1lf3+fWCzG9evXSaVSOBwOCRoLY49lLQMJHAvvy9k003w+z4MHD9jf32dycpLbt2+ztLQkhWWC8CcsexwSk114V86uncFgQL1eNxvQGfMJ5ufnicViYhEIwp+w5JNwdtKZWAjCu6KqKp1Oh8PDQ/b39ymXy8RiMe7cuUMqlRIhEIQziI0sjCyDwYBarcbGxgbtdptPPvmEGzduEI1GcblcV315gmApLC8G4i4S3gbDktR1nUajQavV4uDgAJ/Px69//WszYCxtqYWfY9zWh2XFwGazmXnfYs4Lb4Ldbjd/dF1nf3+fYrGIw+Egk8mQSCTw+/1XfZmCBTH2GWPPGTchAAuLga7rKIqCoijYbDaZPyu8FofDwWAwoN/vU6lUqFarHBwc0Ol0mJmZMS0CwFxTggA/CoHRxVZRFFRVRdO0sYtXWlYMVFWl1WpRrVZxOp1iHVgMq22mTqeTdrtNpVJhbW2N77//HofDQS6XIxaLEQwGaTQadDodNE276ss9V6z2XViNN7k/xrS7RqNBu90mFAqhquolXJ11sJQYGKaax+Oh1+vx+9//nvX1dZxOp/mFXtTCv8gHyioP60Vch1U+m8PhoNfrUSqVWFtbY3V1lXA4TLvdRtd19vb23qndxHl/PuO0ed7vK+v33V9nWAa9Xo/t7W16vR5+v98yn/uysJwYuN1uEokE4XCY9fV1BoMBDofjJ1/MsDxMVnlfq1zHRb332Qf65OSEbreL2+3m9PSUfr+P2+02LYI3fd+L3gxGfQ0P0+fTNA1FUTg9PSUQCKDrOm63e6wEwaZbyDGm6zr9fp+joyOKxSKdzv9v3w5SEwYCAIp+BFHEvWvvfz4tLhK7sgiFUjUpKb63z5CAk58Zk4+GYfi2KljQKf9orqfA+7Ef8dvl8l+cy1zGcex8Pnc6ndput+12u9br9deXyM+Y8vqW9hteynnM5ZHru16vXS6XNptNx+Oxw+HQfr9/my3qRcUApjCOY8MwtFqtJnnxYK4pMvW4S4jdHOO9Ou5vj7u9RXT/VtE7WdQ2EbzqNvFvEZj7e4Jnn/TnuGEuZTuH/8nKACby6FRyE2ZJrAxgIm7u/Gfv8c8IAD8SAwDEAAAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxACAxAKD6BGRPSQmga5rNAAAAAElFTkSuQmCC)
physics-General
physics-
Six equal resistances are connected between points P,
and R as shown in the figure. Then the net resistance will be maximum between
![](data:image/png;base64,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)
Six equal resistances are connected between points P,
and R as shown in the figure. Then the net resistance will be maximum between
![](data:image/png;base64,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)
physics-General
physics-
In the circuit shown the equivalent resistance between A and B is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAgAAAACyCAYAAAA05XetAAAgAElEQVR4nOzdeXRU153g8W+tqtJSKu37viHQhhBgJJl9x2BDvCVOO5vd6Xg6c9JzepmT7p7x9OnudE9Op3vSsRMnE8d2HG9AY2NWIwMWIASyAKF9QbtU2kpIpaVKquXNH556jdCCMBII637O4WCj9149vap69/fu/d3fVUiSJCEIgiAIwqKifNAnIAiCIAjC/ScCAEEQBEFYhEQAIAiCIAiLkAgABEEQBGEREgGAIAiCICxCIgAQBEEQhEVIBACCIAiCsAiJAEAQBEEQFiERAAiCIAjCIiQCAEEQBEFYhEQAIAiCIAiLkAgABEEQBGEREgGAIAiCICxC6gd9AoKw2AwMDHDhwgWqqqro7OzE6XSiUChQKBSTtp3q32Yy3fZ3c5yZjiFJ0qyONVevdzfm83efi9dzOBzo9XqWLVvGsmXLSExMRK0Wt2DhwRGfPkG4z8xmM++++y6nT5+mp6cHl8uFWq2+qwBgLv799n+7tXF3N/bz+XpfZvv5Pob75+7ffS5fz2634+npSWZmJjt37iQqKkoEAMIDJT59gnCfWa1WmpqaSE1N5X/+z/9JQEAAGo0Gl8s15fa3NsTTub2xnu0+7sZppu1vbwzvZtuZtp/tOU8XiNxp+zud791es7u5DlPtp9fr6evr45e//CVHjhzhySefxMvLa1bHEIT5IAIAQbjPHA4HQ0NDJCUl8eyzz+Lr6/ugT0n4kqYKAqb7N5VKRXd3N//6r/9KXV0dDofjfpyiIExLBACCcJ8pFApUKhVOpxOLxYLBYLjr8W5hYbjbIQaVSoVOpxONv7AgiFkAgvAAuLucXS7XtF3/wlePUqmU/wjCgyY+hYIgCPfJrcHebHMIBGG+iABAEARBEBYhEQAIgiAIwiIkAgBBEIT76G6nEQrCfBEBgCAIwn0mZn0IC4EIAARBEO4j0fgLC4UIAARBEARhERIBgCAIwgMgcgCEB00EAIIgCPeJ6P4XFhIRAAjCAySeAhef6ZZ+FoT7TQQAgiAIgrAIiQBAEO4zl8uFzWbD5XKh1+tRqVQP+pSEB0D0/ggPmggABOE+c7lcWK1WOQAQBEF4EEQAIAgPkHgKXHxEJUBhoRABgCA8ACIRbPES772wUIgAQBAEQRAWIREACIIgCMIiJAIAQRCEB0DkAAgPmggABEEQ7iORBCgsFCIAEARBuM9EEqCwEIgAQBAE4T4Sjb+wUIgAQBAE4T4TQYCwEIgAQBAE4T6TJEnkAAgPnAgABEEQ7jPRAyAsBCIAEARBuI9E4y8sFCIAEARBuM9EECAsBCIAEARBuI9EHQBhoRABgCAIwn0mkgCFhUD9oE9AEO6kv7+f2tpaSktLaW1tZXR0FKVSiZ+fH0lJSSxbtoxly5ah1WqnPcbY2BiNjY1cunSJGzduMDAwgN1uR6fTERQUxJIlS1ixYgXh4eEzHkcQ5oIYAhAWAhEACAva2NgY165d45NPPuHs2bM0NDQwPDyMJEn4+/uTmprKpk2b8PLyIjY2dsrG22azUVlZyfnz5zlx4gTl5eX09fUxNjYmBwArVqxgYGCA/Px8kpOTxQ1amDfisyUsFCIAEBasnp4eSkpK+N3vfkdNTQ3bt2/npZdews/PD4vFQnV1NR999BEHDhxAoVCwc+dOsrKyJh2juLiY119/nZqaGtatW8fu3buJjIxEoVBgMpkoKiqisrKSn/70pzQ1NfGd73yHqKgo0RMgzBsRBAgLgQgAhAWrsbGRgwcPUl1djb+/P5s2bWLbtm0olV+krpSWlnLt2jU+//xzjh07RlhY2KQAoLKykv/4j/+gpKQEb29v1qxZw+7duwkICAC+6B2IiIhgbGyM9957jxMnThAbG8uuXbsICwu777+zsHiIHADhQRMBgLBgVVdXs3//ftavX8+3v/1tcnJy5MYfIDExkV27djE6Osr58+dZsWIFNpsNnU4HwPDwMEVFRRw4cIDs7GyeeuoptmzZIjf+ADqdjl27diFJEleuXKGmpobf//73pKeniwBAEISvNDELQFiQRkdHaWpqYnh4GH9/f1JSUjAajRO28fHxISsri5SUFOx2OyaTiZ6eHgDGx8e5ceMGdXV1jIyMEB4eTlZWFkFBQVO+XmJiItnZ2Wg0Gqqqqmhubp7331FYnET3v7BQiABAWHDGxsZobW2lv78fAE9PT1QqFS6Xa8J2kiQRERFBbGwsGo2G0dFRenp6cDqdjI2N0dDQQHd3NwAREREzPtHrdDqysrIICwvDYrHQ3t5Od3c3Tqdz/n5RQRCEB0gMAQgLjkqlwtvbGw8PDwBcLhdKpXJC9797O71ej4eHBwqFYsLcaqfTycjICFarFYVCQVRUFImJiXd8Ta1Wi8vlwmazYbPZxDitMOcUCoX8eRWEB0n0AAgLjlqtJiAggKCgILRaLd3d3dTV1TE8PDxhu5GREdrb2+nq6sLlcqFSqeSbK3wRBDgcDuCL4YKZKBQKlEqlfAxRqEUQhK86EQAIC5Jeryc2Npbo6GjKysr44IMPJozLu1wuGhsbOXnyJOfPn8fhcKBWqyc02pIkycHA6OjoHV/z1qcyrVaLVqsV47WCIHxliSEAYcFKSUnhscceo7i4mPLycn7zm9+QkJCAwWBAr9djs9kYGhpCpVIBX/QceHp6olQqUSgUeHp64uHhgSRJDAwMMDg4iI+Pz6ShBPjPIYPx8XHUajWBgYEEBgZOua0gfFkioBQWEhEACAtWUlIS3/rWtzAYDBw/fpw33ngDq9WKwWBg+fLlLF++nOjoaBISEigsLESn0+Hn5wcgN+LumQNms5nu7m70ev201QJ7enoYHx/H39+fiIgIUQhImBdiMSBhoRABgLBgeXl5kZSUxNe+9jUyMzPp7OzEarXi4eFBTEwMBoOB+vp6bDYbAQEBhIWFydP8PDw8SElJITo6GoVCwcDAAH19fURGRk7ZsA8NDVFRUYGHhwcZGRkEBwff719XWCREEqCwUIgAQFiwFAoFXl5eZGRkkJGRMennVquVoqIiuru7SUtLY8mSJWg0GuCLHoCoqCiSk5OJiopicHCQGzdukJqaiqen56Rjmc1m6urqiIiIYMuWLYSEhMz77ycIgvAgiQFO4aHV3NzMhx9+SH19PU8++SR5eXmTtsnOzmbnzp309/dz+vRpRkZGJvxckiTGxsZoa2ujq6tLLgMcHh4+YRtBEISvGhEACA8Vl8tFX18fBQUFvPfeezgcDrKzs1m7dq08z7+np4cbN27Q1NSE0Wjk6aefJiIigq6uLnp7eyccb3x8nNLSUrq6usjLy2Pjxo1ERkZSVlZGcXExY2NjInFLEISvJDEEIDw0HA4HJpOJ69ev89prr3H58mW+/vWv88QTT5CcnIxSqcThcHD9+nXKysqwWCxs2LCBDRs2UFJSQlFREU1NTYSEhBAWFoZCoWB0dJTjx4/T19fHiy++yJo1a+jt7eUnP/kJo6Oj/OY3vxHDAcKcEjkAwkIhAgBhwTObzVRXV3Py5ElMJhOenp4YjUb27t3L7t27yc7OlhcAAvD19WV0dJT/+I//4MyZM6xYsYLCwkJMJhM6nQ6n08m+fftQqVSMjY1RVFTE1atXaWtr49ixY9hsNg4dOkRqaqooBSzMC9H4CwuBCACEBW9oaIj6+nqOHDlCf38/+fn5bNy4kfz8fOLj4+XEPwClUklUVBTR0dGMjo5SUVHB5cuXgS8Cg5aWFjo7OyccX6lUcvPmTU6fPo3L5UKhUKBSqUhKSkKtFl8RYX6IIEB40MTdTVjwgoOD2bx5MwkJCdjtdgICAggODiYgIGBC4w9fNOb+/v5s2bKFmJgYhoaG5HUEtFoter2esLAwucCPn58f//AP/8CPfvQjlEqlfFNWqVSEhIRMWoFQEOaCyCsRFgIRAAgLnqenJ56enkRFRc1qe61WS3h4+IRM/qm4XC48PDxYtWrVjNvdWlJYEO6V+CwJC4WYBSAsWrMt8ytu2AvTw9qFfuuCVYLwID3wHoDZPF2JJ7D/1NHRQWtrK2NjY3h7exMWFkZ4ePiE8qIPy7W69Vy7urpoaWkhKSkJf3//+/Kas/n3h1lTUxN9fX2kpaWh1+vv++vP1zV1H9d97HPnzlFbW8vNmzcZHR1FkiR0Oh1BQUHExcWRlpYmV3a83+/z7a/n4+ODWq1GpVJNWZBqLjidTtrb2zGZTCQmJhIYGDjnr7GYvkdfZQ88AFAoFLhcLpxOJy6Xa9LP1Gq1WJDl/7NarZw/f56ioiKGh4cJDg4mMzOTnJwcEhISHroni1vP9dq1axQUFPD000/fsUveTZIkHA4HkiShUqnkRYDu9Jruzxsg5wfcz+t2P17L5XJx/vx5ampqCAgIID4+ftb7ORwOORFytp8p9/fXvb173/lw63Hb2tp4++23+eSTT+jt7ZUDAKVSSXR0NPn5+TzzzDPs2rXrgXw/3NP9HA4HGo2Gvr4+xsfHsdvtDA4Ozvnr2e12+vr6uHDhAqWlpTz55JOzCgBcLpf8x33fnelauX8vp9MpL52tUqnkhbkeJpIkyfeEqXqV3MuEfxXboQcWANwaKTY0NPD73/+e2tpaBgYGADAYDCQkJPDss8+yfPnySfssBrf+vufOneOXv/wlZWVl9Pf34+HhgVKp5NChQ0RFRbF27Vp+9KMfyevePyzXymKxcO3aNQ4fPkxRURFRUVGEh4cTGhp6xwz89vZ2fv3rXzMyMsITTzzB0qVLZ3Wzq6ys5P3338fX15esrCxWrlx5X5P9DAaDnJTo6+s758fv7e2lpKSEI0eO0NLSQnp6Oj4+PgQEBMx4E5MkiYqKCn77299iNBrZs2cPiYmJszrHwsJCTp48SWRkJFlZWeTk5EyYmjlXbv1cHzp0iDfffJMLFy6g1WrZtm0b6enpeHh4cOzYMSoqKvj4449pbm6mrKyM559/Xs4jme/vx63H7+jo4NVXX6WpqYmenh6KiorQarX85Cc/4Y//+I9Zv379nJ3T4OAgBQUFfPzxx9TW1hIXF0dCQgIBAQEzNs5VVVUUFhZSVFREbGwsf/EXf3HH9310dJQjR45w/fp1rFYre/fu5dFHH72n838QbDYb165dY//+/TQ0NDA+Po7T6USj0eDp6Ulubi579+4lOjr6oQxwZvLAAgCFQoHT6WRgYEBe6c1sNss3fZfLhZeXF15eXoSHhxMYGPiVu/h34r5GHR0dfPjhh7z77rsEBQURHx+Pt7c3g4ODtLW10dDQQGtrK0uWLGHbtm0YDIaHovEHuHnzJmfOnKG8vJzh4WGqq6spKyvDaDTi7e097X5ms5nr169z4sQJzGYzBoMBLy+vWQUA1dXVHDhwAE9PT3p7e0lKSpr3AECSJGw2GzabjdLSUkZGRujo6KCwsBB/f390Oh3BwcF4e3vf85NGR0cHBQUFNDQ0YLPZKCsrIzw8nNzc3GmPLUkSXV1dlJaWcuTIEQwGA0ajEYPBcMeGQJIkrly5wvvvv09kZCTDw8Okp6fPSwDg/lx3dnZy4MABPvroI5KSkli7di07duwgPz8fvV6Pn58fJ06coKqqiuvXr9PT00NycjIRERH3pcfHffze3l6OHDnCO++8Q3d3N56engQFBeFyuTh+/Li88mR8fPyc3N/6+vo4efIk165dQ6VS0djYSEVFBatXr8bLy2va/a5evcq7777L5cuXyc7O5vHHHyc7O3vGczKbzZw4cYKCggIUCgWxsbHk5+c/NPcegOHhYUpKSjh27Bj79++np6dHfohyLxHe3t6OWq1m48aNpKamfqXaIdXLL7/88oN68Y6ODv73//7fvPHGG7S2tvLYY4/x/e9/n23btqHX6ykuLqa2tpbOzk6Sk5PnZSxroWtububv/u7vOHLkCF5eXvzt3/4t//iP/8jjjz/O5s2bycnJYXR0lKqqKs6ePcvg4CCbNm16aL6E7e3tvPPOO4yPj5OWlsbIyAh2u53s7OwZx0hLSkooKChgZGQEhUJBR0cHUVFRZGZmTruP3W6ntbWV4uJiSkpKaGlpweFwsHXr1nlf/c9ms1FVVcW//Mu/8Morr9DR0UFTUxPHjx/ngw8+4OrVqwQHBxMSEnLPDWd5eTkHDhzA29ublJQUzGYzOp1uxhu6JEmcOXOGCxcu4HK5GB8fx2QysWzZshmHD6xWK3V1dVy4cIGysjLa2trw8vJi586d8zbGXVFRwZtvvsmxY8fw8fHh//yf/8NLL71EfHw8vr6+8kqQeXl5rFq1CrPZTElJCR4eHnLezO3TR+fKrU/xFouFP/uzP+O1115jbGyM7du38+KLL7J9+3ZCQ0NpaGiguLiYoqIi0tPTiYyMnHSMu1VZWcnPfvYzVCoVjz32GKOjo1gsFtLT06cNAMxmMx988AFHjhwhKSmJpUuXYrPZ0Ol0086kkSSJ2tpa3nrrLerr6wkNDSUmJgZ/f38MBsNDsZT26OgolZWV/PM//zP79+/Hz8+Pxx57jJdeeomnn36aFStWYLfbqamp4fTp0+h0OhITE/Hy8vrKBAEPNABob2/nX//1X2lvb2fNmjU888wz7NixgyVLlqDX67FYLDQ3N9PX18fjjz9OWFjYgzrVB+b8+fP84he/QKfT8d3vfpdnn32WsLAwfHx85JK27u69ixcvMjIyQlZWFoGBgQ9FEZuKigree+894uLi2LNnD6WlpbS0tLBp06YZkwH379/PkSNHyM3NJSoqirKyMoKDg1m+fPm0CW8jIyNcuHCBuro6FAoFIyMjKJVKcnJyiI2NnbcnQ6vVymeffcY777zDp59+yvDwMKtXr5Y/52azGZPJRH9/Py6Xi8jIyHtqPM+fP8/hw4fJy8sjLy+P06dPMzY2xpYtW/Dw8Jhyn9HRUX77299SWlrK1q1b0el0VFZWkpiYyLJly6YdE+7r66OwsJC2tjaUSiWDg4N4e3uTk5NDSEjIvIybXr16lddff53W1lZSUlL4L//lvxAYGCgPiykUCjw8PPD39ycmJobq6mo5b8bHx4fc3Nxpr8O9cl+jnp4ejhw5wmuvvcb4+DjPP/88+/btIz8/n6SkJMLDwwkICKC9vZ0rV67I5xoQEPClP4M9PT2UlJRw8eJFcnJy2LdvH5cuXaK2tpYNGzZM+QDV39/PpUuX+PzzzxkfH2fHjh2EhITw2WefYTAYWLly5ZSv1dTURGlpKdXV1RgMBtLT01EqlQwNDZGQkCA/RS9k7ntPQUEBarWa5557jr1795Kbm0tKSgoREREEBwfLgcLo6CgqlYrY2FgMBsN9P9/5GLZ6oC3E+Pg4PT09xMXF8dJLL/Hoo4/KjfzGjRvR6/UMDw9TVVUl5wYsFk6nk+rqai5fvozJZOKP/uiP+B//439M2i4gIIC9e/eyYsUKysrK6Ozs5Pjx42i1Wjl3YiFyuVzyEMbIyAjJycns2LGDP/zhD1RVVdHd3U1CQsKU+5rNZq5evUplZSUvv/wyfn5+FBcX09bWxueff86KFSumDB5GRka4ePEiFouFzZs3ExAQgMlkoqqqiqCgIJYvXz7nQdPo6Cg1NTW8++67vPXWW0RHR7N7926+9rWvER0dzeDgIMeOHeP48eMcOHCAjo4OwsLCWLly5V3PhnA4HPT19dHR0YHdbmfFihVs3LiRn/70p9TU1NDX1zftjaunp4dLly7R2dnJzp07aWho4Nq1azQ0NHD16lUyMzOnfIJ0J5x5eXmxY8cODAYDDoeDK1euoNfrWbp06Ze6bjPp6emhtrYWHx8fli5disPhmHZbrVZLYmIiiYmJNDY2cvnyZSwWy7w3UIcOHeJ3v/sdo6Oj7N69m3/8x3+ccP3CwsJ45JFH8PHx4e/+7u84dOgQdrudH//4xwQFBd3169ntdkpKSqirq2PVqlXs2rWLNWvW8Ktf/Yry8nJMJhMpKSmT9nOXv1ar1Tz77LNs376dmpoaXnnlFeLi4hgbG5syWLp69SpXr14lPT2d0NBQIiMjOX/+PIWFhaxfv/6ONTgWgnPnzvHmm2/i7e3N3r17+dGPfjRh3Y+4uDji4uIICwtjZGSE4uJiXn/9dfLz84mIiLjv5zsfDycPNABwuVzYbDb0ej2xsbETPvi+vr4EBwfj5+fHwMAAf/M3f0NCQgLj4+OTjnP7hZnqQt1pm+ku7v3a79b/V6lUOBwOent7aWpqQqlUTuiinioSdI/Z9vb2YrFYpjynhUSpVHLjxg3a29tJSEggPj4eg8FASkoKfX191NTUEBISMikI6O3tpaioCEmSWL16NTExMQQGBrJ27VpaW1s5deoUUVFRUzaeZrOZzz77jLCwMH7wgx8QHBzMpUuXqKurw2AwkJWVJW87V9H2wMAAr7/+OhcvXiQiIoJvf/vbPPHEE0RHR+Pj48PY2Jic1/Hzn/+clpYW/u///b94eXmRn59/V69lt9upqKhgYGCA1NRUIiMjMRqNLFu2jIGBAcrKyqbs1m1paaGoqAg/Pz8iIyMJDw9Ho9GQm5tLT08Pp0+flrs+b9fe3s6ZM2fYunUrmzZtQq/XU15ezpUrVwgICJgUAIyNjTE0NITFYsFms6FQKHA4HNhstimvuTvb3P1zvV7P559/zs2bN3n00UfZs2fPHQOl7OxsnnnmGX77299SXV3NoUOHiImJkYePnE4nNpsNp9M57fdybGxs0r3HfW5jY2PY7Xbgi4DDbrfzySef0NLSwqpVq1i3bt203e+ZmZls3bqV4uJiDh8+zMDAAP7+/oyPj9/x3NwzYHbv3s3KlSs5e/YsNTU15OXlkZGRgcFgYMmSJXLAFB4eTlJS0oTj1NXVcerUKTZt2sTu3bvl7v+lS5cyOjrKZ599Rk5OzqRrfPXqVYqKinj++edZv349fn5+lJaWUltbS2NjI6mpqWg0mgmv5XA4OHPmDEVFRZSXl+NyueSA273d7X/P9md3s497ZllRUREDAwNs2bKFHTt2TDvEnJKSwt69e2ltbcVkMmGz2abc7m44HA4uXbrEe++9R1dXlzz7wH2eDocDvV7P8uXLWbNmDY888si89Og+0ABApVLh7e2NzWajvr6e4OBgoqOjUSqVdHR0UFVVxejoKABlZWXU1dVNulC3m6lh/TKN91wEANPtM92+SqUSl8uFxWLBarWi0WgmROFT7TcyMiIHDu3t7VRWVsrJRrc/IX2Zhm0u9/Hw8MBisXD+/Hk6OjrIzMwkLi4OSZLIzMxkcHCQyspKAgMDJwUAra2tnDhxAk9PT3bv3k1QUBD+/v5s3ryZ/fv3c+nSJTZv3sySJUsm7Gez2Whra6O7u5uoqCiWLFlCaGgo4+PjvPvuu2g0GkZHR+WEN3fDNDAwgNVqxW63zxgUTPUeGwwGCgsLOXToEC6Xix07dvDMM89MaBS1Wi0+Pj6EhYXR2trKgQMHOHbsGKmpqaSkpGC32+WGZ6Z516GhofT19VFSUsLg4CArV64kJCQEtVrN6tWrqayspKSkhMDAwEkBQHV1NQUFBcTExJCTk4OXlxc6nY4tW7bw9ttvc+nSJR5//PEJQajL5WJ0dJS2tjb6+vrw8vIiLS0NDw8PeTGlyMhIXC7XhGGAoaEhqqqqMJlMcplmh8OB1WqdMQCwWq24XC60Wi319fVoNBrS09NZuXLljMmiAPHx8WzYsEHOWC8uLqapqUkOQJxOJ1ar9Y4BwNjY2JTnZrPZ5ABArVbjdDq5fv06ABs2bCA3Nxen0znluHFCQgK7du2iurqaq1evolAo8PT0lM9lpnMbHx9HkiTi4uJISUnB4XBgNBpZvnw50dHRKBQKsrOzGRoaoqKiAj8/P5KSkgDk+0R9fT0DAwOEhISQlpYGQEREBJs3b6ahoYEjR44QGBg4IQCwWCxyjYmEhATS09MB5BLb9fX11NXVsWTJEtRqNVarFYfDQVtbG01NTVy7do0zZ87gcDjkXIHpGuzZ/n37+zXT3+4/7e3tqFQqsrOzycnJmfTeuPn6+vLII49w4MABWltbJ01Xv1sul4uhoSEuXrzIL37xCwD8/f3l6ZTwxXurUqmorq6mr6+PqKgoYmJi7ul1p/JAAwAPDw+ioqL4/PPPefnll3nhhRfYtWsXKpWKgoICXnnlFdra2li2bBl/9md/xurVqxkeHp4wV/P2eZszVQeb7bbzvd2d9tVqtQwPD1NUVMTZs2cpKSmZMuq89YY5NjbG4OAgJpOJgwcPcvr0aXx9feWb1O1fAPd/T/X3TD+bzXFuPcZ0+0mSxMjICAkJCezbt4+YmBgUCgVLly7FZDJRUFBAUFAQe/bsmXDM5uZmDh8+zM6dO9m6dStGoxGNRkNeXh5FRUUUFBRQU1NDRkYGQUFBqFQqJEni+vXrVFRUkJGRwfLly9FoNISFhbFq1Sp++ctfUlVVRVdX14SM997eXn71q19RWFhIU1OT/MQy22upUqm4efMmJpOJHTt2sG/fvmnzWHQ6HTt37qS/v59f//rX/OIXv+Do0aPyTWG617LZbHh5efH973+f0NBQCgoK8PHxYcuWLQQHB6NWq8nOzqavr4/Lly+Tmpo6aapWeXk5x48f50/+5E/YsGEDHh4eqNVq8vPzOXz4MNXV1dTU1BAREYGfnx8KhQK73c7ly5dpa2tjzZo1LFmyBIVCQXJyMm1tbfz7v/87NTU19Pb2TuhW7e3t5eTJk7S2tmK1WgHkANf9uZiKh4cHWq0WpVKJ0+kkJiZGPpc7cb8XkiShVqvx9/cnKChIDjpUKpWcPzDd62u12kmJg+73xX293Oc5Pj5Ob28vbW1tZGdns2zZsmnPLSIigkceeUSeufCXf/mXJCcny/c5pVKJh4eHfP63v74kSYSEhBAUFMRLL72EQqEgKCgIg8GAJEmkpaXR09PD/v37MRgMPP3008AX94vTp0/T0tLC1q1bJ/R+BQYGsnPnTl599VU+/PBD1q5dS3Z2NgDd3d1cvp8G9QAAACAASURBVHwZSZLIyMggOjpa3m/p0qXk5eVRX19PcXExKSkpWK1WSktL+fDDDwH47ne/y/bt2+no6JCv33T3c/d/3+n+eft2d9peo9GgVCr5+c9/zsGDB+XZQ9Plq7g/P3PVBe8Ohtra2gD4+te/zl/91V/JybcKhYLx8XFaWlr4l3/5F/bv38+SJUvYvHnzrMuhz9a8BgBms5n29nba2tpwuVxEREQQGRkp3xACAgJ4+umncblcFBUVcejQITo6OlAqlZSVlVFbW0tWVhbPPfcc+/btw8/Pbz5Pd0FxuVzyvFP3eNuZM2fw8/PDYDAQHx8vfyCbmpo4evQo7e3t6HQ68vPzUSqV8g32TkMiM32wZ9t7cTfHcN+Ik5KSyMjIICsrSx7+SUpKoq2tjXfffZempiYsFgsGgwGXy0Vvby/Nzc0AREVFkZKSIt+UtVot8fHxREVF0djYyOeffy53SSsUCsrKyigrK2PZsmUTsuFDQ0MJDw/n5s2bVFdX4+vrK/cMVFZWUlpaysDAwIQb3Wx+f4VCgUajQZIkTCaTnKA43ZQ6pVJJXFwc4eHhOJ1OuZKdu0jJdNd4bGwMT09PPDw88PX1ZcWKFQQFBZGeno7BYEClUrFs2TKqqqo4ePAgra2tOBwO1Gq1/BTY0dGBRqMhLi5uQsa/0WgkKSmJGzduUF5eTnBwMGvXrgW+uIkVFxfT3NzM6tWrJ4wvu+s42Gw2Kioq8PDwwGg0YrFYqKyspK6uDj8/P5KTk+WgSqfTTdkAuxsJvV6PTqdDrVZjs9loaGigvr6esrIyVq1aNWNSVltbG8XFxZjNZgICAli+fDkJCQkMDQ3JAYBer0etVk8bmHt4eMizM25taNzn5v4cenp6YrVa2b9/P83NzbNaTtrpdGK32/H19SU/P1/uhnef250y6t37h4aGTvpZfHw8HR0djIyM0NbWRm9vL0FBQZjNZs6cOcPAwADPPPMMGRkZ8j6enp4sXbqUmJgYXC4XjY2N9PT0EBwcTGdnJ2fPnkWn05GWljah2zw9PZ2hoSHeeOMNJEniySefxGQyceHCBerr64mJiSEqKgofH59J36cHoaCggAMHDlBdXS0/HExlaGiIq1ev0t3dPSeF6ex2O83NzZhMJrRaLdnZ2VPOXkpPT2f//v10dnbS2NiIyWR6uAKA69ev8+677/Lxxx/jcDjYtWuXnGgCX6zy9sMf/pCwsDCGh4cpKyvj0qVLAPJUnh/+8Id897vfnc/TXJCUSiVpaWlYLBbeeecdzp07R29vL1FRUTz66KO8+OKL8tz1gwcP8sorr9DX18cTTzzBK6+8QmBg4ITeklu7l6aLlGfa5taf3br9dNvMdGyXy4VKpcJgMKDX6ydU2fLx8SEhIUGumtbQ0EBmZiY2m41PP/2UlpYW1q1bR1ZW1qQnMncdhNLSUj777DPWrFkjzwiorKykpqaGTZs2yV2d7uucl5dHVVUVly5dIiQkhNDQUC5fvszFixfRarW88MILfO9730OlUjE2Njar66RQKDAajRw8eJBvfetbjI+Py0+ZU3G5XFitViwWC5Ik8c1vfpO/+Zu/YXx8XO56nuo6uyu3BQQE4OnpSXZ2thx8uF8rMDBQvuGaTCYaGxtJTk6W53GPjIywefPmKZPEcnJyGB4epqKiAm9vb/Ly8lCr1YyPj3PlyhXMZjNPPfUUiYmJ8j5eXl5s3LgRk8nE+fPniYyMxMvLi3PnznH58mV5OGTv3r04nU658uCduMeU7XY777//PidPnkSr1ZKUlDRjAFBaWsrbb79NZ2cna9asYcOGDcTGxs6YPHi72Qa47mseFBQkJ0PGxsayZMmSKYcAOjo6KC0tZXBwEE9PTznIuJtZCtNVqXMHJ3FxcYSEhGC1Wrl27Rqpqam0trZy5coVgoODWbdu3aSGRafTsXz5ctavX09zczOffPIJzz33HN3d3Vy8eJFHHnmE/Pz8CcMvsbGxuFwu/u3f/o2hoSFMJhOlpaVcuHCBlJQUHn300QVVTc/HxwcfHx9OnDiBXq8nOjp6ynogjY2NHDx4kJaWFgIDA+95iqPdbqexsZG+vj6Cg4OnnZLqDrKGh4dxOBwMDw/f0+tOZd4CAKfTSWlpKUePHsViseDr6yuPF94uLy+Pv/iLv6C9vV1utNwFgNatWydv97BUt5tLaWlp/K//9b947733OHXqlFxNzGw2ExgYiNls5tChQ/T09PCd73yHr3/963JUfqex0YXK19eXtLQ0rFYrV69eJTY2FrVazalTp+jp6eHxxx8nNTV10n4pKSk4nU7OnTvHlStX6OjowGg00tLSQm9vLyqViqSkpAljaVqtltWrVzMwMMDp06dJT09nzZo1lJeXU1NTQ1JS0oSiNnc7fzwsLAydTkdVVRWHDx/m8ccfJyAgYNJ2CoWCixcvcuXKFeCL4PjLTDWaroZAcHAw6enpjI+Pc/XqVeLi4rBYLBw5cgRvb29279495VPZihUrGB8f59SpU5SVldHd3U1ISAhNTU3cvHkTT09POZ/Czf0ke/jwYU6fPs2WLVuIj4+npKSEzs5O0tLS5J6GL1M+NiwsjLi4OG7cuEFFRcWMjYrL5aKhoYGamhrCw8PJycmRexLnc5qst7c3TqeTCxcuEBsbO+0wQFtbGwUFBfJ4+u1JcbM10/buBNfu7m65/sXo6CgRERGkpaVNO+tg6dKlbNy4kYMHD9LV1UVmZqZ8D3dXfLx9umpAQAAZGRm0t7dz9uxZLl68yI0bN9i9eze5ubnzUhzqy8rJyeHpp5/myJEjfPDBBwQEBLBhwwYSExPR6XT09/dTXl7OwYMH+fTTT4mLi+OJJ56YsqflbjidTvr6+nC5XCQlJU1bg8TDwwOn08nw8DDDw8OTclDmwrx8A+x2O21tbVRUVNDZ2cnKlSsJCwujv7+foaGhCdtKkkRYWBjf/OY373jcxdb4S5KEwWDgG9/4Bt7e3rS0tFBZWcmlS5dobGwEvqhk5XQ6WblyJX/6p3864en2YaXX68nNzeXatWsUFxeTnp5OUFAQlZWVeHl5ydn/t/P09CQzMxNfX186Ozupq6vDarXKiTsxMTFysRU3rVZLeno6VVVVNDU10draysjICBUVFXR3d7Nnzx7i4uK+9O+iVqtJTEykqamJ3//+94SHh7N9+3a5W9/dzXvjxg2OHj1KdXU1sbGxUwYJ9yIgIID8/HyqqqooKipi1apV9PT0UFFRwaOPPkpubu6UDYHBYCAtLQ2dTkdvby9VVVU0NzfT0NCATqcjLi5u0pQob29vli9fTmFhoVzIq6+vj2vXrqFWq8nNzb2nmh4hISFs2LABs9lMS0sLjY2NREVFMTY2NqGXYGBggBs3blBTU8P4+DgrV64kPz//vtTHiI6OJiYmhvLycs6fP8+2bdsIDg6Wk/ncyY+lpaUUFhbi6ekpZ87PNff36eLFi1y6dAmn04mfnx+rVq1izZo1016PmJgYcnNzef/99ykvL+ezzz7DZDJhNBqnnQuv0WjYuHEjxcXFnDp1iurqanm4b6EVcnNPk25oaKCwsJA333yTjo4Otm7dio+PDy0tLRw6dIiLFy8yNjbGunXr+PrXvz4nAUB3dzdOp5O0tLRpvwuDg4O0trbS29uLj4/PvJQNn5dCQN3d3Rw7doyysjI0Gg3btm0jJCSE8vJykpKSJiQhLbZG/W65r090dDSZmZnU1tbS1tZGWloaSUlJLFmyhBdeeIEf/OAHX5kylUqlEi8vL+rr6zl+/DgajQan00ltbS2pqans3bt3xrKmXV1dcpdZbW0tzc3NeHh4kJ6eLme5u7mTuPr7+7ly5Qre3t6MjY3x0UcfoVQq+d73vjdtPYLZ0Gg0GI1G2tvb+eyzz+jp6ZEL0mi1WsxmM5988gmvv/46Bw8exGg08v3vf59NmzZ9qfng01Gr1fIUus8++wwfHx8GBwdpamoiLy+PHTt2TNv4OBwOuru7kSSJ/v5+ampq6OjowNfXl+zsbLKysiY0Iu73r7m5maqqKgIDA+nq6uLjjz8mOjqa73znO/dUeTEoKIjExES5wE95eTn19fUAciNz4MABXnvtNd566y1KS0sJCgrij//4j9mzZ4+cFzKfQkJC8PPz48yZM1y/fp3+/n4UCgV+fn44HA4qKir43e9+xxtvvEFNTQ3f/OY3efHFF+Xerrmk0WgICQmhvr6eN998k/LychwOB9/4xjfYtGmTnIB5O6VSiU6no6Wlha6uLhoaGhgaGiIzM5P8/Pwp5/orlUr8/f3p7OzkjTfeQKlUsn37djZs2DCnn+e54M6bcRdWu379OpcuXeLs2bMcPnyYkydPUl5eTlxcHC+++CJ79+4lNTX1nocALBYL//7v/05/fz/79u0jNzd3Um+tu0T+b37zG0ZHR/nv//2/z0uZ5XkJhWtrazl69CgOh4MtW7awatUqWltb6e/vp7e3d9LUIGFq7jfbPf957dq1hIeH4+HhwYYNG1i6dClarZYNGzbIiZVfhWESnU5HUlISoaGhDA4Ocvr0afr7+4mPj2fVqlV3jITz8vJwuVycOHGCtrY2vL292bFjB3l5edMGDhERESxfvpybN29y7NgxhoaGyMjIuOdoPyAggK1bt9LZ2UlHRwcVFRUMDw9jMpkIDQ1leHiYc+fOcf36dYxGI+vWrWPXrl33FHRMxcfHh5SUFPz8/Oju7ub48eMkJCTICUgzNTo6nY7Nmzdz5swZPv30U3p7ewkODmbv3r2sXLly2qAzPj6ejIwMGhoaqKysRKFQEBkZeU8Nwa0JpE888QS9vb1cu3YNs9lMf38/LS0t6PV6PvjgAy5dusTo6ChJSUls3bqVvLw8OSdkvr8niYmJ7NixQy6Oc/ToUfr7+6mrq5OnMp48eZK+vj5WrlzJzp07Z70K5t1SKpUYjUZiYmIIDg7G5XIRFhZGcnLyHYcJ3XkfFouFwsJCQkND2bx587RJfCqViqioKDIyMsjJySE6Oprt27cvuMbfzWg0snHjRnx8fBgfH6empoaxsTGcTif+/v4kJSWxbt06nnnmGeLj4+ekh8ZsNtPb20tPTw81NTXodLoJ9xmlUklVVRWlpaXExcWxbNkyli9fPj9tpjSHHA6H1NnZKf3TP/2TpNPppK997WvSmTNnpOvXr0s/+9nPJJ1OJz377LOSyWSSXC7XXL70omC326UdO3ZIoaGhUnFxsSRJkjQ6Oio5HI4HfGbz48iRI1JeXp7k5+cnLVu2THr11VelhoYGyel03nHfwsJCKTU1VQIkvV4vvfbaazNubzKZpHfeeUd66qmnpPj4eGn79u3Sz3/+c2lwcHBOfpempibp7bffltatWyep1WpJo9HIfysUCik5OVn66U9/KpWVlUljY2Nz8ppTee2116TMzEzJaDRKeXl50vvvvy+1t7fPat933nlHCgoKkgApPDxcOn78+IzbNzQ0SK+99pq0ZcsWKTExUXryySelP/zhD7N6/2arsrJSeu6556SIiAjJYDBIXl5eko+Pj6RSqaSwsDBp37590rvvvisNDw/P2WvOltVqlcrKyqSXX35ZCg8Pl5RKpfy+q9VqydPTU3ruueek06dPS/39/fN+PpWVldLPfvYz6Sc/+Yn0hz/8Qerp6bnjPi6XS+rv75fOnDkj/fCHP5ReffVVyWq13nG/kZERqa2tTeru7pasVuucvudzzeVySTabTerv75d6enqk7u5uqbu7W+rp6ZF6e3ulwcFByW63z0mbZTabpUOHDkkpKSkSICkUCkmj0Uh6vV7S6/WSTqeTPDw8JL1eLy1btkz6+OOP5+A3nN6c9gDY7XaKioq4evUqer2e5ORksrKy5GlNTqeToaEhbt68ib+//0OxYMRCIv3/7G/3XGZg2rr3XwVxcXFs375dzo5OT0+X6wXcSVRUFLm5uej1egICAmZc0Aa+KMTxyCOPUF1dTUdHB+vXr2ft2rVzlrQUHR0tD2Xk5OTIxVHc87xjY2PZsmULSUlJ8/q9WLZsGTt27JCXfc3IyJj1eHx8fDxr166lsbFRnnI5E/cKhKWlpTgcDrZt20ZOTs49P3lLtzy9L126lOeff56YmBiuXLlCQ0MDLpeL3NxcebrfypUr5Z4f6T72kOl0OrlUsYeHB52dnXLxHo1Gg6+vL7m5ubMqZjQXIiIi2LZtGy6XCx8fn1klmbqHLdLS0nA6nQQHB8/qO+Hp6TkpQfB+Xvu74R4GnK/1IW41PDxMX18fg4ODGI1GnnzySfR6vVzwzn193Lld7lkzq1evJjg4eGEPAVgsFgoKCqitrSUnJ4fs7GyMRiOSJOHj44NGo5EL1oyPj4sA4Eu4tTLaV11kZCR79uwhMjISu91OcnLyrMdH/fz8ePbZZ1m/fj0ajeaOXeparZa4uDjy8vLkccuZVha8W0qlkoiICJ5//vk5O+aXkZKSglarJSYmBl9fX3kRpNlwj9/39/fj7e19x3F8vV5PWloaa9euJS4ujq1bt87J/O/bb4Jbt24lMzOTs2fPUlxcjMPh4L/+1/8qV72bad/55i7E5C6k8yD5+vp+6USywMBANm3adE+vvxAb//tteHiYmzdvYrVaWbVqFa+++uqUwwpdXV2cPn2aH//4x/z617/mrbfeYv369XPeZs5ZAOByuWhububixYsMDQ3x/PPPyyUiFQqF/MQ6MjLCwMDAlDX9BeFWXl5eJCQk4O/vj8vluqtCUF5eXmRnZzM2NoZCoZj1jS87O3vK2QJfFUajkSVLlshVAu/mqScgIIDVq1czPj6OWq2e9TVdt24dVqv1nvMpbnfrE6V7Lrz7z8OwEqaw+HR2dtLe3k5UVBRJSUnT5hSEhoby6KOPEhwczPXr12loaCAlJWXOywHP2bekpqaGwsJCeXW/jRs3TojA/f395bmxIgAQZkOlUuHl5TUhcW+23Yi3DpPcjaCgoAWbsDQX1Gq1XADFbbbXVKvVfqmpXPMVTN16zjabjfHxcex2u1w/XxAWmra2NhobGwkODiYiImLa1RbhiyDAz88PlUrF8PCwPEwwl+YsrfCTTz7hrbfeIiAggI0bN5KRkTGha9HHx4fw8HC0Wi03b96ckxWVFquZaqZ/1YluxLknrqkg3B+tra3U1dXJ04Nn0tfXJy/y5u/vPy9LWM9JD0BXVxfXrl2jvLwco9FISUkJ//Zv/4anp6e83K97sZWAgACampoYGRmZi5dedMTNWhCmduu02cVubGxMXu2vvb2d0dFReTpxWFgYsbGxxMfHz1hPw+VyyUtzNzc3y7lbarUag8FAWFgYS5YsISws7L4k0H0V9PX10d3dzdq1a0lJSZn2utXV1XHo0CF6e3uJj48nISFhXnom7zkA6Orq4vz587S2tgJfFDA4efIkJ0+enHJ7d0GXh2HN+oVqMfcACMJ03N8JESR/8aR56tQpjh07xuXLlzGbzbhcLoxGI2lpaaxfv56nnnqKpUuXTrvSXVdXFyUlJRw6dIhz587R1tYmL3vsXtxq3759rF27luTkZFHbZRYGBwcZGRmRlzGfbpnoM2fO8Oqrr+Lh4cGjjz7K0qVL5yXIuucAoLW1lYMHDzI4OMi6devYvHkzYWFh8kpb8EUlKrPZTFVVFfX19ZhMpnlZ2GAxEDc3QZjM4XAwOjqKQqHA09PzK1ER88sYHR2Vnx6PHz9OXFwcP/jBD/D19WV8fByTycTly5c5fPgwarUaq9VKTk7OhOtltVqprq7mww8/5NSpU4SFhbFv3z5CQkJQq9VYLBaqq6tpbW3lN7/5DbW1tbz44ovExcWJnoBpOBwOGhsb6e7uxuFw8Pbbb1NcXIzRaESlUk1a8bOvr4+YmBj27NnD1q1b57w0uNs9BwCVlZWcOXOGpKQknnzySb71rW9NOVYxOjrKhx9+yB/+8AeqqqrmJaFBEIT/ZLfbsVqt8kIi7puMe/ldT09PvLy8vvSTm8PhmHB89+p6SqUSrVYrH1+r1c574Op0OuXFUjw8PBZtANDf38+xY8c4deoUXV1dPPXUU3z729+Wu4/dva8ff/wxx48fx8vLi/T09Alz9k0mE0ePHuXDDz+kvr6evLw8vvOd77B06VLgi6GBgoIC9u/fzxtvvIHZbJbrV9yp3sZiZbVaGRgYICoqiqCgIGw2G+Xl5ZOWi3Y6nbhcLrKysuTVc91JtPNRR+GeAoCjR49y/vx5uru7eeyxx9iyZcuk4g9uTqcTg8EgL4QgkgAFYe7depPo7Ozk/PnzHDt2jIqKCiwWCwqFgtDQUHJycuQeuy87N7y3t5eioiI++ugjKisr6evrw+Fw4OvrS1xcHOvXr2f79u0kJSXN+ypwt94YJWny0tWLRW9vL++88w4ajYY//dM/nVSGNy4ujs2bN9PX10dhYSHnzp3jj/7oj+T7tiRJVFVV8fbbbwPwwgsvsG/fvgmrbyqVSjZv3izXz6+oqOCtt94iKChIBADT8PT0ZOnSpfz4xz/mBz/4gfwZvf1z6v43b29v/P39J7x38xFE31MA8Nprr2EymYiPjycnJ4ekpKQZnybcPQNWq5X+/v57eelFb7He4ISZKRQKxsfH6erq4ujRo5w9e5bBwUH8/f0xGo3Y7XYcDgfnz59nYGBArpdwN4vzWK1WmpqaOHHiBNeuXaOvrw+DwYCXlxcOh4Px8XF5mVuz2czu3bvJycmZ954AkQT4n1nmWVlZrFq1atJKlu7VL+vr6zl16hQtLS309PQQEhKCJEmYTCZqamqoq6tj+fLlrF27liVLlkx635RKJcuWLSMnJ4fW1lauXbtGbW2tWOdlGiqVCm9v7y9V8XE+KyjeUwDw8ccfk5KSwje/+U1yc3NnfOPVajVGo1F+2rBYLAwPD+Pp6Sk+MHdBoVCIPABhRu3t7Rw7doy33nqLrq4u/vzP/5xdu3YRFhbG4OAgRUVF/PM//zOffPKJ3FW+ffv2WR+/qqqKw4cP86tf/Qq9Xs9/+2//jc2bN5OQkIDT6aSiooKDBw/y8ccfc/bsWcbHx/Hx8SE5Ofm+rAe/GL8fLpcLk8lES0sLGo0GHx8fPDw8pgyGQkJCSElJwd/fH7vdjslkIiEhAQ8PDxobG2lsbESlUhEaGkpkZOS0xWpcLhcZGRlUVFRQWFhIe3s7bW1thIeHz8uyxovVfH6e7ykA+Ou//mtiY2NZsWIFsbGxM26r0WiIjIzk+eefZ8WKFaxduxa1Wr0ov6xzYTE/5Qgza2ho4L333kOhUPDYY4+Rl5cnl0L29PQkJyeHNWvWYLFYOHv2LImJiWzdunVWgbjVauXMmTN89NFHBAQEkJ+fz7p16+TxYYCsrCy53kdtbS0FBQX4+/vzJ3/yJ/MWALjzERQKBTqdblHmAGi1Wnm9CZfLhUqlmvI6eHl54ePjg1qtxuVy4XA45K7n4eFhhoaGcDqdBAUFsWTJkmnnnyuVSnx9feWn2tHRUbmGvQgAHg739Oj993//97zwwgssX778jgtLqNVqAgIC2LVrF3/5l3/JI488gk6nEwHAXRI9AMKdNDQ0cOHCBSIiIvjGN74xYfwWvlikZ+PGjaSnp9Pc3ExNTQ2Dg4N3PK7D4cBkMlFUVERZWRmrV6/mmWeeIS0tbcJ2Wq2WrKwstm3bRkpKCjU1NZw4cYK+vr45/T1v5XQ65bwinU636HoVFQoFRqORoKAgPD09GR0dpaOjY9J0a5fLxcDAAGazGbvdLpdOdk8tdjqdcjKnj4/PjOW3FQqFvD8g7y8eTh4ei+tbIghfYQ6Hg87OTrkmh6+vL35+fpPq4qtUKpKTk0lNTUWpVDIwMEBHR8cdE3Nv3rxJeXk5XV1dKJVKoqOjiYiImDYgjYiI4JFHHsHLy4v29naamppECfB5olAo0Gg0REREEBMTQ0dHB++99x6VlZUTtuvq6qKwsJBPPvmEmzdvotFoJjTYLpdL/n93vshM3MEDfPG50mq1iy74epiJFTMeQqIHQJiKy+ViZGREbsjVavWUXcAKhYKAgACCgoLQaDSMj48zNDSE3W6fsYvearXS2dnJ0NAQer2emJgYwsPDp93e29ub2NhYPD095WVQLRYLAQEBc/4ZvrVnbDE/gbp7d86fP09lZSWHDx+mr68Pf39/VCoVFouF5uZmLBaL3APgnjZ5+7K4IyMjmM1mQkJCpnwtSZLkNRgADAYDAQEBovv/ISICgIfQYp7mJEzPPczmTrS12WxYrVZ5/v+tnE6nPAdZoVBMWw3uVi6XC7vdjt1uR6VSERMTM+PQn3tVPvexHQ6HXElOmB9BQUE8//zzBAcHc/jwYX7/+9/zyiuv4O3tTUpKCtnZ2cTGxrJ06VLOnj2LUqnEz88PDw8PeQqnuzjN4OAgnZ2d+Pj4TDm92+l00t/fz9DQEDqdjrCwsK/0QlpfRSIAeMiIHABhOkqlEn9/f8LDwzEajdTX1/Ppp58SGBhIVFSUvF1PTw8lJSWUlZXJjflsAkp3wpjL5ZrVZ9AdALjHl91jxvPBnQPgTgJcrN3Qer2e5ORkJEkiMDCQ+vp6+vv70Wg0REVFkZCQwMjICD09PXh5eREcHCw32u5hnbi4OLRaLUNDQ/T09BATEzNlAOBwOKirq2N4eJjMzMw5X6pWmH8iABCEr5i4uDjS09NpbW3l+PHjJCUlyVX5LBYLdXV1XLp0ifLyclwuFxqNZsJY7nRufaJ3uVx3TBy8NcNcrVbj7e2NXq+fy19V5nA45ABAr9cvylkAgPz7Z2VlkZWVNeU2H3zwgTxdLzU1VV7iWalUEhYWRkpKCmFhYdjtdlpaWkhNTZ1yae3R0VFqampwOBxs2rSJxMTEef3dhLknAoCHjLsHQAwBCNNJTU3le9/7HsePH6esrIy//du/xcvLC6PRSExMDKGhoej1emJjYyktLUWlUuHr63vHsVuNRoPBYECn0+Fw6elwsAAACbpJREFUOOjt7eXmzZv4+vpO+cRts9kYGBhgbGwMT09PoqKi7jhb6F6I78SdWa1WTp8+zZkzZ3jmmWfYtWvXpPc9JSWF7du3U11dTUFBAVlZWURHR086lrvugNFoZOfOnWRnZ8s/m8/iNcLcEQGAIHzFhIWFsWXLFjkz/Nq1a7S3t2OxWDAajXJD7B779fX1xd/fH61WO+Nxvby8iIqKwt/fX14qtq+vDx8fnykDgMHBQdra2tDr9cTHx99VtcG7JZIAZzY2NkZbWxulpaXU1dXh6+vL2rVrWbVqFUqlEpvNxtDQEGq1GqVSyZ49e3A4HFy9ehWTyTTpeI2NjdTW1hIaGkpGRgaZmZlYLBa6u7uJjIyccZlhYeEQAcBDRuQACHeiUqkIDg7miSeeYMuWLdhsNpxOp5zwZbPZOHr0KP39/YSFhRETEyN3A8/EaDSSnp5OVFQUSqUSs9mM2Wyeduy3q6uL8vJyoqKiWLdu3bTrhMwVEQBMbWhoiNraWvbv3897771HVlYWf/3Xf01eXp5cxKeuro7PP/+c/v5+kpOT/1979xISVRuAcfyZGUebUScs84KBji26WKngpSGwCDQwsL5aJRXUJnDZsnX7VhVB+6JFiwrCLJCCwlCjC1GZVF7KwUuRjePcnG/zzXjXM19ans7/t4mal/ec08w55znveS9qampSIBDQ58+f5ff7NTAwoIKCguSQ0sePH6ujo0PNzc3au3evMjMzdfHiRd2/f18XLlxQVVXVnzxkGEQAAP4yNptNaWlp8ng8Cza5j4+Pq7OzU729vdq3b19KF+vEOvBv3rzRp0+f9OLFC1VWVi5YNjE1rM/nU0NDw6zhZCvdRJxYDdDhcFi6E2BCMBhMLv3b09OjSCQiv9+vrVu3qr6+Prlse4LD4dDExITa2tr04MED9fX16fnz53r37p0ePnwol8ulpqam5AiTly9f6s6dO/r27Zv8fr/u3r2r69evq7+/X+Pj43/qsJEiAoBJ8ZSD/yMQCKirq0vt7e2amJjQ4cOHVVtbm1IdVVVVGh4eVltbmzo7O3X8+PFZ68BHIhF9+fJFQ0NDcjgcKi8vV01Nzaw6VroVKxqNamJiQh6PR26327KdABN+/Pih169f69q1a+rs7ExOv37mzBmVlZXNW1++sLBQXq9XIyMj6u7uVmtrqyQlZ/rLz89XfX39rLVcBgYGdOPGjVn1/K71HrAyCACABYRCIfX29ur27dtqb2+X1+tVTU2Nqqqqlm3+DwaDevXqlYaHh2W327Vt2zadPn1a/f39CofDGhwclNvtTjYPj46O6t69e3I6nTp37pwaGxsVDAZ16dIl5eXl6dSpU6vyhE4onpadna2dO3eqpaVFw8PDKigoUHFxsbxe74LLP2dlZamiokLnz59XX19fcm6IjIyMZN+Pma1JJ0+e1K5du5IdkuPxuBwOh/Lz85PrTmDtIwCYDO85YVQsFtP4+LiGhoY0ODiojx8/6tGjR+rp6dHZs2d15MgRbd68edl6otGoBgcH1dHRoS9fvuiff/5JLv4zMjKiZ8+eyel0JoeBjY2NqbW1VW63W4cOHdL379/V3d2ty5cva8+ePTpx4sSqBADOjWlut1ulpaUqLS01VD49PV1FRUU6duzYkuUSy/3W1dWprq5u0XKMAjAHAoAJ0REQRiQW7rl69aq+fv2qsrIylZeXq7m5WT6fTyUlJYZ+R06nU16vV0+ePNHNmzd169Ytbdy4UX19fXK73QqFQnK5XMkA8PPnTz19+lR+v1+tra3KyMjQ5OSkxsbG5PP5VuVYGQXwexi97nB9MgcCgMkwDwCMSktLU3Z2tkpKSpSTk6Pdu3ertrZWlZWVKU3Zmlhkprq6WgcPHtTo6KicTqe2b9+u9evXq6ioaNY75ZycHDU2NurDhw/JOQPsdrsyMzO1f//+VXn6j8ViCofDyfnsrd4JcLVwY/+7EACAv1R+fr4aGhp04MABSdNz/qd6c3Q4HMrNzdXRo0fV1NQ073O73T6r092WLVt05cqVBacM/j/bNyIajSoQCCg3N5dOgIBBBACTogUAy0nc8FfiZpgYWjh3aeG5Eu+IZ44KWMhKvyOeuUAWT/+AMZwpAFaM0ZvvaiwHnEA4BowhAJgMHZ0AACuBAGBCdMQB5iMcA6khAJgMN38AwEogAJgQIQCYLRaLaXJyUjabjbUAAIM4S0yGmz8wXzQaVTAYlM1mk8vlYhggYAABwKR4zwksjJAMGEMAAGB6TAUMpI4AYEI84QCLIwAAxhAATIabPzBfLBZTKBSSJNYCAAziLDEhFgMCZotGo5qYmJDNZmMtAMAgAoDJ0AIALCwRijlHAGMIACZFCwAwG50AgdQQAAD8FWYGAEIAsDwCgElxgQOmTU1NKRwOS5LS09PpBAgYwFliMonxzrznBKZFo1EFAgHZbDZlZmYqLS3tT+8SsOYRAEyKFgBg2sxmf8IxYAwBwGR4+gfmYyZAIHUEAJPiIgcA+BUEAAAALIgAYFIMdQIA/AoCgMnE43FNTU0RAIAZYrGYJicnZbPZtG7dOoYBAgZwlpiMw+GQ0+mUw+HgIgf8JxqNKhgMSpJcLtcf3hvAHLiDmEhijHNeXp5KS0v/9O4Aa4bL5VIoFFIkEqFlDDCI2TJMprCwUCMjI+rq6tLIyIgCgUDys7U2PHAt7c9a2heJ/VmO0f2x2+1yu916//69Nm3apA0bNrASIGAQAcBEbDabduzYobdv36qlpUWjo6NKT09Pfjbzz5lmTpCy2IU1Ho/PqmOxpyij462Xq8vothYrM3MfFiuX+PtSnxupI2GhcnM/T3w2s57l6jCyL3O/t7n/vtj3bvR3Mddix5Xqthb73n7ldzG3bCwWk8fjUXV1tSoqKng1BhhEADARu92u8vJyhcNhZWVlaXh4WBkZGSnVsdae9JazVGBZrtxiN/KFyq30/8tSN8GF9sfI8aym5fZ3brnlQtvvEo/HFYlEVFxcLJ/Pp7Kyst+6fcDMbHFemOE/Rn4Ky5X5G+tYKiCsVB1GtrHadaS6LWnp4PW76ojH43K5XPJ4PIseF4D5CAAAAFgQL8sAALAgAgAAABZEAAAAwIIIAAAAWBABAAAACyIAAABgQQQAAAAsiAAAAIAFEQAAALAgAgAAABZEAAAAwIIIAAAAWBABAAAACyIAAABgQQQAAAAsiAAAAIAFEQAAALAgAgAAABZEAAAAwIIIAAAAWBABAAAACyIAAABgQQQAAAAsiAAAAIAFEQAAALAgAgAAABZEAAAAwIIIAAAAWBABAAAACyIAAABgQQQAAAAsiAAAAIAF/QvDZ63QTIqU7QAAAABJRU5ErkJggg==)
In the circuit shown the equivalent resistance between A and B is
![](data:image/png;base64,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)
physics-General
physics-
In the circuit shown, the currents
are
![](data:image/png;base64,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)
In the circuit shown, the currents
are
![](data:image/png;base64,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)
physics-General
physics-
The resistance is connected as shown in the figure below. Find the equivalent resistance between the points A and B.
![](data:image/png;base64,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)
The resistance is connected as shown in the figure below. Find the equivalent resistance between the points A and B.
![](data:image/png;base64,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)
physics-General
Maths-
The cosecant function whose period is 4 is
The cosecant function whose period is 4 is
Maths-General
Maths-
Sine functions whose period is 6 is
Sine functions whose period is 6 is
Maths-General
physics-
Which graph represents the uniform acceleration
Which graph represents the uniform acceleration
physics-General
physics-
An object is dropped from rest. Its
-
graph is
An object is dropped from rest. Its
-
graph is
physics-General
physics-
In circuit shown below, the resistances are given in ohm and the battery is assumed ideal with emf equal to 3V. The voltage across the resistance
is
![](data:image/png;base64,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)
In circuit shown below, the resistances are given in ohm and the battery is assumed ideal with emf equal to 3V. The voltage across the resistance
is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAdcAAAEPCAYAAAAQ6Y6DAAAgAElEQVR4nOy9d3Cc13W//2xf9A4syqKDaARAECAKAYIk2EWqR7YTxXYSp3kSTybJpIxn7DjJTCaaOJnEtlJsZ1KsWJKbZEmUSEoEid5BEL333rHALnax7fcHf/t+AbGTEECA95nRjIh99+592/3cc+6558icTqcTgUAgEAgEW4Z8pzsgEAgEAsFeQ4irQCAQCARbjBBXgUAgEAi2GCGuAoFAIBBsMUJcBQKBQCDYYoS4CgQCgUCwxQhxFQgEAoFgixHiKhAIBALBFiPE9QlB5PIQCASCvYNypzsguIVMJgNgeHgYm82Gj48PXl5eaDSaHe6ZQCAQCB4WIa5PEEtLS/zyl7/E4XCQnZ1NUlKSEFeBQCDYhQhx3UZMJhMjIyOUlJTQ1dWF1WrF6XQik8lQqVTMzs5SU1PDkSNHOHHiBJ6entJ3nU4nRqOR1tZWmpqa6O/vZ3V1FU9PT7KysigoKCAiIgKl8s631G63Mzg4SH19PV1dXUxOTuJwOAgKCiIpKYn09HQSExNxd3ffrsshEAgEexYhrtvI2toaPT09fO9736OzsxOlUolKpcLhcAC3BNBms1FcXEx4eDharVb67urqKp2dnVy6dInLly/T09PD0tISWq2WY8eOYbFYOHHiBFFRUbf9rslkoq+vj7q6OkpKSqivr2dwcBC73U5gYCAZGRkUFxdjNptJTk7G19d3266JQCAQ7EWEuO4AJpOJoKAg/vEf/5Ho6GhWVlY2fa7X6/H29t70t8HBQX74wx8yOjpKbGwsX/3qV/H29qapqYnKykq+/e1vY7fbeemll/D19UWhUAC3BLujo4O/+Zu/YXZ2lqKiIs6cOUNwcDArKyt0dHRQVlbG22+/TUVFBV/72tc4ffq09H2BQCAQPDxCXLcRmUyGXH4rQDsiIoJXXnllk3V6L/r6+vjkk0/Q6/U899xzfP7zn0er1ZKSksLg4CDXrl2jtraW1NRUMjMzcXNzA24FSNXU1FBWVkZISAh5eXmcPn0aDw8PANra2rBYLLz99ttcvnyZvLw8UlNTCQsLu6uLWSAQCAT3RmzF2QFkMhk2m43l5eX7HutwOFhcXGRgYICxsTHi4uI4d+4cKpUKgMTERLKzswkLC2NoaIiGhgbMZrP0/ZqaGkpKSggKCuL48eOcOHFCElaAhIQEfvu3f5ujR4/icDhobW2lpaUFi8Wy9ScuEAgETwlCXLcRp9Mp/SeTySTr8l6sr6/T29tLb28vVquVgIAAoqOjN7ltdTodERERrKysMDY2htVqlT5raWmhqamJ6OhoDh48eJu7WaPREBcXR2JiIv7+/oyNjdHR0cH6+vrWnbhAIBA8ZQhx3UZkMpnkGrbb7SwuLgK3Ap3W1tawWCzYbLZNCSWsVitDQ0OMj48DbLI6XXh7exMVFYVcLsdgMEgBUnDLLTw8PExUVBSxsbHY7fY79i00NJTIyEhWVlYYGRnZJNACgUAgeDjEoto2olAoUKlUaLVaenp6+MY3voHdbmd8fBxvb2+Sk5M5c+YM6enpBAYGSt9zOBz3zODk5+dHTEwMi4uL2O32Tce6xNQl7HdDq9Xi7e3NwsKCtEVIIBAIBI+GENdtRK1WExwcTFFRET4+PiwuLjI3N8f4+Dh2u52JiQnJij1x4gRarRaZTIZCoZACoe4kem5ubvj7+98x4YRWq0WtVgNssmg/jdPpRC6X4+npiaenp/R7AoFAIHh4hLhuI1qtluTkZL71rW9hNptRKBQoFApWVlaoqKjg448/5s0332RmZoaEhAT27duHXC6/p8UJt4TxbsLp7e1NYGDgfTM9mc1mTCYTwcHB6PV6KWBKIBAIBA+PENdtRCaTodVq0el0t33m5+fH2toaP//5z2lpaaG9vR2dTodard4knneyKNfX11ldXcVisdxm2ep0OsLDw1lcXGRmZuaufZuZmWF0dJSMjAxSU1Mla1cgEAgED4/w/T0huNzFISEhrKys0N3dzcLCAnK5fJNb+E4WqtFoZGZmhvX1dRQKxSZLNy4ujvj4eMbGxujt7b1jQJPFYmFiYoKpqSkiIyNJT08XOY0FAoHgMRDiusNstDQ9PT2RyWQ4HA5kMhlOpxOFQkFAQAB+fn4Am/awujAYDIyOjqLRaNDpdJu26RQWFlJQUEBfXx9NTU23bbFZW1ujr68Pi8VCTEwMqamphISEiAxNAoFA8BgIcd1GDAYDExMTTE9PYzAYpP2uLiYmJrBarXh5eaHT6dBqtSgUCvR6PREREchkMsbHx+nq6sJms0nfGx0dZWBggMDAQJKTk3Fzc8PhcDA5OUlgYCC5ubn4+/tjNBoZGxvbZL0uLS1RV1eHUqnkxIkTkst6eXkZk8m0fRdHIBAI9hBCXLeRTz75hK9//ev8/d//PRcvXtwkXh0dHVy5coWVlRXCwsLYv3+/ZK3GxsaSnJyMWq2mpqaGn/70pxiNRgAGBgaor6+nt7eX2NhYioqK8PT0pLy8nG9961s0NjaSkpLCH//xH3P06FEqKyvp6uqSfndmZoaLFy/i7e3N7/zO72Cz2XjnnXd4++23aWxs3N4LJBAIBHsEEdC0jVgsFqampujv72d8fJzx8XF0Op2UXL+3t5fc3FxOnjxJdHT0przDqampPP/88/T19VFSUiK5gAcGBlhYWCAvL09Kgwi3LM+uri5++tOf0tLSQn9/P7OzswwNDaHX60lNTQVu5Syurq5mfn6egIAAuru7WVlZISEhgYSEhB25TgKBQLDbEeK6jSQlJXH8+HHKy8upq6vj3XffxWq1olAoCAwMJDs7m9/+7d/m8OHD+Pv7b/puYmIiX//613nrrbf4xS9+wTe/+U2sVishISGcPn2ar371q+Tk5EjHh4SEsG/fPt577z2GhoYA8PLyIjMzU1q3nZycZHBwkMXFRa5fv87169cBiI6O5ujRo0RHR2/TlREIBIK9hcwpUvFsGwsLC4yOjjI4OMj4+Dhzc3OYzWZUKhU+Pj7ExMRw6NAhQkND71iRxmw209raSnNzM5OTk1itVnx9fUlLS+PgwYP4+flJgUjT09O0t7fT3t7O5OQkSqUSb29vQkNDyc3NJT4+HoPBQEdHB9XV1SwuLkoFBcLCwiRx3ViwXSAQCAQPhhBXgUAgEAi2GBHQJBAIBALBFiPEVSAQCASCLUaIq0AgEAgEW4wQV4FAIBAIthghrgKBQCAQbDFCXAUCgUAg2GKEuAoEAoFAsMUIcRUIBAKBYIsR4ioQCAQCwRYjxFUgEAgEgi1GiKtAIBAIBFuMqIqzBdjtdqxWKzabDaVSualUnEAgEAiePoS4PiZOp5OFhQUmJiaYmJhAp9ORmZm5pe3LZLIta08gEAgEnz1CXB8TmUxGW1sbZWVldHZ2cvjwYdLS0u5YMu5+OJ1OrFYr09PTzM7OEhkZSWBg4GP1b2RkhKWlJUJDQ/Hx8UGtVj9WewKBQCC4P2LN9TFxOBxUV1fzv//7v7z99tuUlZVhMBgeqS2bzcb09DSlpaX853/+J62trY/dv7KyMt544w0aGxuZm5tDVBgUCASCzx5huT4ms7OzDAwMMDMzQ1BQEBqNhps3b5KRkYG/v/9DtWUymaisrOSTTz6ho6ODsLAwQkNDiY6Ofuh1XJvNxtjYGHV1dZSXl2M0GrHb7YSGhj5UOwKBQCB4eITl+hgsLy/T29vLysoKOp2O4uJiQkJCqKmpYWRk5KHbW1hY4Nq1a7S3t6NUKuns7KSkpITl5eWHbmtubo7m5mYmJyeZn5+nvLychoYGzGbzQ7clEAgEgodDiOtjMDo6Sn19PT4+Phw7doyjR4/i6elJbW0t4+PjD93eyMgIlZWVqNVqXn31VWw2Gx999BErKysP3db4+Dg1NTVERERw/PhxZmdnaWlpYXp6+qHbEggEAsHDIcT1MRgZGaG6uhpvb2+OHz9OQUEBfn5+9Pb2PpTl6nQ6GRgYoLu7G7lcTmpqKidPnsTPz4+xsTGGh4cfeq10cHCQ8vJyAgICOHPmDLGxsZjNZjo6OoTACgQCwWeMENfHYGxsjIaGBry9vSksLCQ9PR2dTofBYGBsbIzJyUlsNtt923E6ndTW1nLz5k3y8/M5e/Ys8fHxxMXF4evrS3NzMzdu3MButz9w3/r6+qitrcXNzY3jx4/z/PPPExYWRnl5OX19fY9z2gKBQCC4D0JcHwGHw8H8/DxTU1PIZDLCw8OJjIwEICgoiKSkJAwGA83Nzayurt63PYvFQmlpKbW1tWRlZZGTk4NCoSAlJYX9+/fT3NxMbW0tcvn9b5fZbKalpYX5+XliY2MJDw8nNDSUY8eOERQURElJCb29vY99DQQCgUBwd4S4PgIrKys0NTUxPz9PTEwMer1e+iw4OJgjR45gsVioqal5oGCkqakpOjo6mJqaYv/+/URERACQmppKbm4uw8PDNDc3YzQa79uWwWCgvLyc1dVVTp48SVRUFAAZGRmEhobS09PD0NDQI565QCAQCB6EXSmuO71X02w2U15eztLSEtnZ2YSEhEifhYWFkZeXh8FgoKKi4r6CODAwIK2NFhUVERYWJn0WFRXFgQMH0Gq1TE5O0tbWdt/gJpPJRFlZGQsLCxQUFBAeHg6ARqMhNjaWpKQkFhYWqKmpuWNbO31tBQLB7kOMG7ezK/e5utIBTk9PMz09zcrKClarVXKb3ild4Kf/9iDHbPyb0+lEoVAQGBjI4OAgo6OjBAYGUlRUhE6nk4739/cnNTUVrVbLxMQE09PTpKSk3PVcenp6+OSTTwgNDSU7Oxs/P79Nn4eHh7Nv3z7Gx8eprq7Gw8ODtLS0u7Y3PT3NwMAA8fHxZGZmEhwcLH2m1+sl4b927RqhoaF4eXnddr52u525uTnW19ex2+3Mz8+zsrKCTCbbsVSMMpkMpVKJTCbDZrPhcDh2RVrI3dDHu3GnvjudTuRyOQqFAofDgcPh2IGe/T920/XdTX39NBv77hoL3dzc0Ol0BAUF7epz+6zYleIKt27wBx98wJtvvklbWxsGg0FK7ecSgY1icL+/uf79aYF2/c1ms6HVaklLS0On0+Hp6Ul+fj7FxcWbEjzI5XJCQ0OJjIykq6uL3t5eoqKiiIqKQqFQ3HYefX19lJSU8JWvfIWioiLc3d03fa5Wqzl+/Djl5eVcv34dvV5/R3F1OBxMTEzQ3d2N0+kkNDSU+Pj4TekOQ0JCKCoq4p133qGsrIxz585JbuONOYwNBgMXL15kbm4Oq9XKhx9+SH19PSqV6o7n8LAv1qO8iDKZDK1Wi1wux2w2Y7fbH3iCtJV9edqPdw2sKpUKu92OzWaTnp0nve97+fjt6ovT6cRut+Pu7o5er+crX/kKn/vc5x6qraeFXSuuADdu3ODGjRvk5+cTFBR038jcuz1QMpnsrgnyXX+z2WxoNBri4uKIiIjA19dXslBhszjJ5XLi4+Pp7++nv78fnU6HXq/fJExWq5WpqSnGx8dxc3MjNjaW2NjY24KWtFothw8fZnJykqtXr9Ld3Y3RaMTDw+O2vra3t9Pd3U10dDQJCQm35REOCAggOzubq1evcuPGDUZGRkhLS0MulyOTyXA4HMzMzHDjxg1u3ryJn58f6enprK+vS/139c/lBnrQl/Rhj9+IWq3GbDbz/vvvs7KywjPPPENYWNiOJMS4X/8/7R672/F3cqNtVdufFTKZDLVaTVtbGzU1NcTFxXHy5EkAKZL90xbO/dr7NPf6zsMcf7dj7zRZeBKtro1ittPHf/r6qFQqBgYGqK2tpaCg4IF+72lkV4vr6OgoMpmMv/3bv91UicbpdEr/uf796b8/yN82/r/LDent7f1A1ltiYiJTU1M0Njbi5eXFqVOnUKlU0ufz8/NcuXKF+fl5cnJySEhIuGM0sEKhIDQ0lISEBODW3tr29nZSUlLw9PSUjrPZbDQ3N9Pb20tmZib79++/rS2lUoleryciIgKVSkVfXx89PT0kJCSgVCqx2+1UVFRQVVUlrSe/9NJLvPTSSw9wNz5bbDYbzzzzDG1tbfzDP/zDPV3t9+Jh14Ye5vgn4djHOf5+QiOXy1GpVFKu6ueff55vf/vbwK2I90dt97M4fuNk7tPjwL141OMfZCLxWbT7aT6r413HyeVyfHx8ePPNN6moqGBubu6hfu9pYleLq2u9R6PRbPr7Tq4NukhJSWFpaYn//d//ZXV1FbPZjJubm/T58vIyly5dQqlUcurUKSlC+G6EhoZy5MgRjEYjV69elVzTLkwmE7W1tXR3d/Mbv/EbZGRk3LWtffv2ceDAAQYGBmhoaCA2NhalUolSqaS2tpbm5mbOnz9/z7Xd7UapVKJQKJDJZLfd74dhO1zYex13d3fkcjlqtVq6PqKG8dOFj4+P5O0S3JldGS3swjXYPon5cr28vIiJicHpdDIzM8PExMSmWeL4+Djd3d1otVry8/M3BR7dCZ1Ox7lz51AqlVRUVGxKr7i+vs7w8DAzMzMAxMXF4e3tfde2UlJSOHz4MCMjI9TV1WEymYBb+YgHBgZYWVnh4MGD7Nu373EuwZZitVqlF3ltbW2He/N0Y7fbkcvlYmB9itkYYCi4M7taXJ90fHx8OHz4MBERETQ0NDA8PAzcihBua2vD3d2d2NhYEhIS7jvzDw4O5tSpU/j4+NDa2kpfX5/kihsaGqKmpobw8HCOHj16T2EFSEpKIi8vj4mJCRobG1lYWGB+fp6GhgbsdjuRkZHExMTcFly104gX+clho5tT8HQi3sd7s6vF9WEX8bcbd3d3Dh06RFhYGPX19ZK12dDQQHt7O0lJSSQnJ9+3sLrr/LRaLdHR0YSEhNDf3097eztwa+25oqKCkJAQDh8+fMdgp08TFhYmrb12d3dTWlpKdXU1vr6+HDhw4LYtQU8KYlDfeZ6EZRfBziOegXuzq8UVnuwbrFaryczMRKfTcfPmTUZGRrDZbNTX1zM4OEhhYeEDrWtuPMe0tDROnjzJ4OAgFRUVOBwOxsbGaGxsJDg4mOzs7Ada/1Kr1Rw9epSUlBTq6+t5//33qaurIyoqioKCgk3BV08KT/K9ftp4kFScgr3Nk27c7DS7OqDpSUetVpOWlkZXVxdTU1M0NzcTHR0tJc7PysoiPj7+odpMT0/HYrHwd3/3d0xOTpKXl8fIyAgOh0PagnOnaOY79S0/Px+z2cylS5fo7e3Fx8eHX/u1XyMnJ0cEqAjuysb94E/qVhbBZ4t4Bu6PENfPEFfiA71ej5ubG52dnXh6emIymYiOjiYuLu6BhHAjAQEBpKeno1Ao6O7u5uOPP2Z8fBy9Xk9kZOQDt6dUKtm/fz+Dg4NMTk6ysLBAWFgYMTExm6KQBYJP4xpYXdGiD/sMC3Y/G58BYbneGSGu20BAQAC5ubm0tbVx8eJF9u3bR1FR0SO7Xr28vDh27BgOh4P333+f4OBgCgoKNuU4vh9yuRxPT0/i4+PJzs4mOTmZjIyM+0Yt7zTiZX4ycN0HIa5PL8ItfG+EuG4DwcHBnD59mtXVVXp7e8nKyiI/P/++gUx3Q6vVcvz4cdbX17l8+TI6nY7i4uKHElcXkZGRXLhwAafTSVRUFEFBQY/Up+1AuJ6eDDYGNImB9ell4wRLcDu7WlxdL/mT/oIHBwdz5swZTCaTlN/3cfaQKpVKcnNzUSgUmEwmsrOzOXLkyCOJT1BQEC+//DJwy5p9VMHfTp70+/008Ok0mIKnCzHBuj9P/ki6B3ClTSwoKCA2Npa4uLjHbk+j0ZCcnMxLL71EWFjYIwmrq8LJ42Q82k7EFpAnAzGwCuD/TbCE5XpnhLhuI/Hx8Q8dHXwv/P39OXLkyCN/XwiV4FFxPTtiYH06ERPd+7OrN6uJm/t0IV7oJwdX6TFXNRzB04XLY6FUKm+rviW4xa4WVxfCNSUQbB9KpRIvLy+8vb2fuBSZgu3BNdGdn59ncHBQeDDuwJ4QV8HThZhM7Sxubm5EREQQFhYmtuE8pSiVSjQaDT09PVy+fJnZ2dmd7tITx65fcxVuQoFge/Hy8iI6OpqRkRGuXLkiCa2vr+9Od02wTURGRvLFL36R4eFhGhsbmZ6eJjExkf379xMXFycS0bDLLVchrE8Xu2Xr1V7H39+f/fv3Mzo6yn//93/z0Ucf0draysrKCnCrsL3D4RD3aQ8TFxfH1772Nc6ePYvFYuGtt97in/7pn/joo4/o6urCZrMBT7eXaddbrgKBYHuJiIjgxRdfRKfTUVdXR2NjIxUVFchkMqKiosjIyCA1NZWEhARhze5RFAoFgYGBHD9+HL1eT15eHp2dnVRVVXHjxg0SEhI4duwYWVlZT2yFrc+aXS2uT/Os6GlEWK47j9PpRKvVSnmx5XI5jY2NtLe3Mzw8zOzsLBaLhcXFRSYnJ4mOjiYoKAgvLy/c3NzEGu0eQiaTodPp0Ol0JCcnU1dXx/vvv09fXx8NDQ3YbDZWVlbIzMwkNDR01+yn3yp2tbju9o3soprEoyGu2c6x8dqHh4dz/vx5Tp48ydLSEhMTEwwODtLb20t5eTk/+9nPkMlk5OXl8cILL5CamvrUWjF7HX9/f4qLiykoKKC7u5uqqiouXrxISUkJzz33HKdOnSInJ+epend3tbjudmQyGYODg7S0tLCysoLFYsFms2Gz2aR9hK7IzLi4OOLj48XMn907mdprqFQqfHx8gFspPvft20dgYCCLi4usra3R29srRZHm5OQ8dmYywZOLq0rO2toa09PT9Pf3093dzdraGsvLy1it1qfOmNj14rrbb1Zrayvf+c53uHHjBouLi7d97ubmRlZWFi+88AKvvvoqOp1uB3opEDwYCoUCLy8vwsLCmJmZwWQySe5AMSnamzidTubn5+nt7aWuro6qqipaWlpwOp2kpqaSlJRESEjIrh+rH5ZdL66wu1/ajIwMXn31VYaGhlhcXOTs2bNkZGQQFBTE+vo6Y2NjVFdXc/nyZTw8PCguLn6spP+7md2+DLDXsNvtDA0N0dXVRUdHB52dnVgsFjw8PPD19eXFF18kICCAmJgYEhISJCtXsPtZW1ujo6OD7u5uent76e/vx2g04uPjg06nIykpibCwMKKiooiLi0On0wlxFWwvUVFRvPDCC/z4xz9mYWGBL3zhC7zwwgvSQNTe3s7IyAhdXV1cu3aNqKiop1ZcYfd7KnYzdrsds9mMxWLBbDZLz2V7ezs3b96ktbWV4OBgcnJySExMJCcnhwMHDux0twVbgOu+r62tYTAYGB4epq2tjba2Nvr6+piamsLX15fIyEhyc3PJzMwkISFBSu7/NLKrxXUv5Jq12+3MzMywurqKQqHA398frVYrfR4cHExWVhZms5mFhQUMBsMO9nZnEZbrzjI7O0tDQwN1dXXcuHGD+fl5NBoNcXFxnDhxgt/7vd8jPDycoKAgvL29RSKBPYLVauXmzZs0NzfT1NREZWUlVquVlJQUYmNj+dznPidZqm5ubnh5eeHp6flUCyvscnHdCywvLzMyMoLVasXHx4egoKBNIevu7u4oFAppIrHbJxOPy9N+/tvJ/Pw8c3NzzMzMMDo6yvj4OHNzc0xNTWG329HpdERERLB//34OHDhAWloabm5uO91twWPicDiYnp5mamqKubk5xsfHGR4eZmZmhsXFRXx9ffHx8SEjI4O0tDRSUlJITk7e6W4/cQhx3WHm5+cZGBhAoVBIs/6NbIy6TE9Pf6o35Qth3T6MRiNNTU1UV1fT0NBAS0sL6+vr5Obmkpuby6uvvkpSUhI6nQ65XC5Fiwp2N06nk6WlJcrKyrh06RKVlZWYzWZiYmJIS0vjmWee4dChQ+j1etRqNUqlUryXd0GI6w4zOztLX18fQUFB7Nu3j/DwcOCWu7ivr4+SkhKqq6vx9PTk2LFjJCQk7HCPd5a99iI/KdsTXMFJra2tdHZ2MjExgdlsxul0EhERQXJyMkFBQURHRxMTE0NUVBSBgYE73W3BFjM8PExZWRkffPABHR0dBAUFceDAAYqLi4mKiiIkJAS9Xr/T3dwV7Gpx3Qtu0tnZWbq7u5HJZHh6ejIyMkJgYCADAwNUVFRQXl6O2Wzm4MGDFBUVER0dvdNd3nH20pqrTCZjfX2dtbU17Ha7VLpr4znKZDJUKhVqtRqtVrvlz7zVamVmZobq6mree+89qqqqWFtbIzs7m0OHDpGTk8Phw4eFmG4TTqcTq9WKxWJhfX1dehY+/dzLZDKpnqpWq90Sz8Hi4iLd3d2Mjo4CkJWVxenTpzl69CgeHh7SMyq8FPdnV4vrXmBpaYmbN28yOztLdXU1P//5z1Gr1SgUCkJDQ4mNjeUv//IvOXDgAOHh4bt+MiG4nfr6et544w1GRkYwGAxSMhG73S6txR88eJDi4mLOnDmz5YFCc3NzvPfee1y6dImOjg4yMzMpKiri1KlTREZGolarRXDSNmI2m2lsbOTatWtcvXoVi8WCWq3GaDSyvr6OTCbDbrfj7u5OWloaR48e5cKFC/j7+z/2b+/bt48vfelLpKamcvPmTUZHR3n99dd5/fXX2b9/P/n5+eTm5koeNsHd2fXi6nQ6d7UlMz09zcTEBP7+/oSFhSGTyZiYmGBmZobc3FwKCws5e/asyG7D3o0WlsvlWCwWKioqMBgMeHt7ExwcjJubGw6Hg7m5OcrKyrBYLAQGBpKenr6laQTlcjlarRZfX19CQkIIDg7G09MTs9mM0WiU8jmLid324LJIFxYWqK6uZn19HQC9Xk9QUBA2mw2LxYLBYMBgMGA0GvH39yc7O/uxksw4nU48PDxITEwkICCAsLAwamtraWpqYmBggI6ODux2O+Pj40RHR6PX6wkODsbX1xd3d/etOv09w64X192K3W5nenqa4eFh7HY7v/7rv85XvvIVIiIiuHTpEq+//jqBgYG4u7uLB3cDe3GAz8vLIyQkhNHRUcrLy/njP/TT0zsAACAASURBVP5jzp07R3R0NA6Hg+bmZr797W9TVVWFRqPB4XBw/PjxLfv9kJAQXn31VQ4ePEhVVRVlZWX853/+Jw6Hg9TUVM6ePcuJEydEdrBtQqvVkpeXh9lspquri7KyMry9vfmXf/kXnn32WQwGAzMzM7S0tPA///M/NDY2YrPZWF1d5Qtf+MIj/+7Gd8vf35/Dhw+Tk5PDwsICQ0NDNDc3U1NTI+WMLiwspLCwkPz8fFJTU1GpVFtx+nuGXS+uu3WwNZvNjI6OMjc3h0qlIikpidTUVAAOHjzI4cOHpVRiFy5cuGMbCwsL9PT0sLa2hqenJ/Hx8Xs6Mfpuvdf3QyaT4e3tjVwuR61Ws2/fPjIyMqT9zgqFguTkZJaXl6UN+1uFyyJVq9UkJSWh0WgIDg6ms7OTwcFBzGYzpaWltLW1odfr2bdvH4mJiSKoZRvw9fXF19eX6OhoKahMqVTi7++Pv78/3t7eVFZW0tbWxrVr14iNjX0scd2I61lUq9W4u7sTEBCAj48PgYGB6PV6pqenAWhoaKCjo4OIiAhiYmKIi4sjISEBb2/vLenHbmZXi+tuHmxNJhO9vb0sLS3h5+e3ab3E29ubnJwcPvzwQ5qbm/mjP/ojYmNjpc+dTicWi4X+/n4uXbrE0tIS4eHh+Pj47Glxhd19z++GyWRiaGiI1dVVNBoNPj4+KBQKSfjc3NyIi4tjdHRUKvCwVWy8nhqNhqSkJJKSkrDZbLS3t1NZWUlJSQmlpaU4HA5OnDjByZMnUalU+Pv7I5fLpX3Yj4LD4ZCCZJxOp9TepwtUuApZbAz6glsioFQq71nQ4m7flclk0m89icGRRqMRg8FAeHg42dnZKJWbh+vg4GDCwsJwd3dnZGREErzPAjc3N9LS0khLS+MLX/gCY2NjlJSUcPXqVUpLS7HZbERGRlJUVITFYiErKwuVSoXD4bjn8+F0Om97BlxsfBbu9P2N99T1Pdc9vd8Wobt999PPxOOwq8XVxW5Zg9u4bmUymaioqGBubo6UlBRCQ0Ol47y9vYmNjcXHx4eenh7Gx8ex2+3SAGK1WmlqaqKpqYnZ2dldv+78oDxpg99Wsby8LC0PBAcHo9PpNrnYNBoNk5OTzM7OEhAQsC3LBEqlUip2fuDAASl/7OTkJD/60Y/4/ve/T2pqKkVFRRw+fJiQkJBH+p3Ozk4qKytpbGzEYrGQkJBAcXEx+fn5m46bn5+noaGBq1evcvPmTUwmE4GBgWRkZPDss8+SnZ19199YXFzkk08+oba2lu7ubgwGAxqNhoiICA4dOkRxcTExMTFPXL1Rg8FAS0sLiYmJ7Nu377agMqVSyfLyMkajkejo6E0T8M+a0NBQjh8/TmpqKpOTkwwMDDA8PEx7ezu1tbVoNBoyMjLIy8sjLy8PDw+PO7ZjsVhobm6mqqqK5uZmxsfHsVqt+Pv7k5iYyOnTpzl48CDe3t6bJlAOh4PW1lbKy8spLS1lenoajUZDfHw8RUVFPP/883f9TbhlcZeWlnLz5k0mJyex2+0EBASQlJTEyZMnycjIICAg4LGu0Z4Q192CKzDE4XDQ3t5OdXU1Y2NjpKSkMDExwdraGm5ubri5uREWFkZwcDBOp5Pa2lrCw8NJT0+XHhibzYbD4UCj0eB0Op+qzdx7bSIxPz9PX18fWq2WkJAQSaicTqdkQba1tbGyssKRI0eIiIjYln65u7sTFRVFVFQU2dnZdHd3U1paSllZmZSkXyaTsbS0RHx8POHh4QQEBODp6Xnf0oizs7N0dXXR2tpKa2srXV1dyOVy/Pz8WFtb23Ss3W6ntbWVd999l5s3bzIxMYHNZmN4eJjh4WG0Wi3e3t5ERUVtEkibzcbo6ChNTU2UlpbS2dnJ1NQUq6urOJ1ORkdHmZ+fZ3V1leLiYjIyMp6odcPp6WnGxsY4cOAASUlJm7xSVquV/v5+Ojs7sdlsHD16dFvzOCsUCvR6vbQ8MDU1RXNzM9XV1VRXV9PS0sLExASLi4uo1Wr279+Pr6/vpjFqcXGR1tZWGhsbaWlpYXBwUKqk1NfXR19fH+vr61itVgoLCzdNLiYmJrhy5QqlpaX09/ezsrKCXC5ncHAQg8GATqcjMzPzNk/ewsKC9BzX1tYyMjLC4uIi6+vrjIyMMDk5idFoZGlpiaKiosfafrbrxXW3CYrVaqW0tJR3332X9vZ27HY7FRUVhIWFoVQqOXnyJF5eXgQGBkpbb372s5+xvr6Ov78/cXFxqNVqjhw5QmBgIJcvX5ZqZu410XlamJubo7u7m4CAANLT06UlgpWVFcrLy7l48SK1tbXExcVx9uxZ0tLStr2PKpWKxMREoqKiOH/+PCMjI9y8eZO6ujr+6q/+CqVSyTPPPMPJkyfJz8+/pyVrNBq5ePEir732Gnq9nhMnTnD27Fmio6MJCQnZlIXMbDYzMDDAhx9+yHvvvccrr7zCyy+/jL+/P+Xl5Xz/+9/nnXfeYWZmhj/8wz/cFFW/tLTE9773PSoqKoiMjOS5556jqKgId3d3xsfHKS0tpaSkhNdee43JyUnJ/b4xt/dO4Mo37tprqtfrSU5OliYOZrOZkpISfvGLX1BeXo6XlxenT5/m0KFDO9ZnnU7H6dOnOXHiBO3t7Vy7do0PP/yQK1euYDAYuHDhAhcuXNg0Xvf39/P666+jVqs5dOgQf/AHf0BoaCjLy8tcvnyZd955h/fff5/x8XFSUlIkcZ2enqampoa33noLNzc3/vZv/5akpCQWFxf57ne/S3NzM6+//jq/+qu/yq/8yq9s6ue1a9f47ne/i1wuJz09nd///d8nOjpaykh2/fp1fvrTn1JXV4darSYvL++RBXbXi+tuQyaT4efnR1ZWFgqFgsXFRTw8PEhLSyMwMFCa8cvlck6fPo1arcZut5OamoqHh8em9YHAwEC0Wu1TV0B9r00ilpaWaG9vZ2VlhdXVVf7hH/4BX19flpaWmJubw2AwcOzYMQ4dOkRqaipeXl7b3kdX0JNarcbb25uIiAj8/f3x9PRErVYzMzPD8vIyH3/8MTdu3CApKYmEhAQiIiLw9fWVBGthYYF33nmHkpISfHx8OHDgAIWFhSQmJt5xEFtdXaWxsZGhoSH8/Pw4cOAARUVFwC3XoGtALCkp4bnnnpPE1Wg00tnZSWlpKYODgzz77LMUFxeTnp4OIAX/zc3NUVlZSW1tLampqdI7tZNYrVZGRkakwLX6+nq+853vSMnw7XY7Y2NjrKysUFxcTEpKCrm5uY/smt8KDAYDk5OTTE5O0t3dzfDwsFTUISkpidDQ0NsMIR8fH7KysvD19eXgwYOSaz8iIoLFxUXpvs/MzGCz2aTv9fX10dzcjN1uJy4ujsLCQkJDQ7HZbNy4cYPp6Wmqq6tJTEzk2WefRaPRYLPZmJiYoK6ujoqKCp555hmKi4s5fPiw9D7pdDrUajXl5eV0dHRQXl5OUFDQ0y2uu2mwValUZGdn33ONyIVrtnc3LBbLbUEae5knMehkK3BlxVleXqazs5MrV65In7ky5Jw/f579+/c/MVGYKpVKCnB59dVX6enp4ZNPPuHDDz/k7bffJjY2lvz8fE6cOEFmZqbkPhwaGuJ73/sedrudP/3TP+XYsWNERUXd9XdWVlaoqanBZDJx7NixTQnidTod586do7W1lba2NkZHR7FarahUKsbGxqivr2d8fJzAwEAuXLggCSvcWq88ePAg586do6SkhImJCa5fv05hYeGOihTccmePjIxIOwkaGhpoaGgAkALcMjMzOXXqFOfPnyctLQ21Wr1j74bVaqW5uZnr169TVlbG2NgYGo2G3NxcTp06xenTp+9YyzchIYE///M/v2ObKpUKvV5PSkoKERERqNVq6bPOzk5aW1tJTk6moKBA8vQ4nU4KCgoYHR2lqqqK/v5+ZmdniYiIYG1tjaamJslbmJeXx4ULFzZlmgoLC+PZZ5/l0qVLXL16lYqKCpKSksjNzX2k67KrxXUvDrRw73yzGz/z8PBAJpNJ4rpx4BWb/ncHa2trjI6OStbpyZMn8ff3p7m5mYsXL27a/vCkFhvXaDSkpaXh5+dHSkoKDQ0NVFdXU19fz8LCAlarFb1ez8TEBE1NTZjNZpKTkzl79ux9hWxlZYXa2lqsVit5eXmbnnEPDw/Cw8Px8vLCYrGwtLTEysoK/v7+jIyM0NjYiJeXF/v37yc4OPiO7UdERJCbm8snn3xCU1PTE1HS0Wq10tfXx8LCAqmpqWRlZXHw4EGWlpaoqqri4sWLmEwm9Ho94eHhjxyI9ThjxPz8vBRU2dPTg8lkQqlUkpKSwqlTp6T80xEREXd8bu/22waDgdHRUZqbm1lYWODIkSNkZ2dvaqOrq4uGhgZOnjxJSEiIFEWtUCgIDg6W7vXKygoLCwtERERgMplobGxkbm6O5ORkYmJi7pjC0cPDg8zMTPr6+ujo6GBoaOiRrg/scnGFvSmw9zonV1CUyWSivb2d3t5eJicnWVpaoq6ujpycHIKCgvakq3ivWa4Wi4WRkRHGx8cBOHHiBH/xF3+BUqmkra0Nk8mEwWBgfn7+jt4Zh8PB+vo6q6urGI1GzGYzMpkMjUYjZc3ZjgAdV5pGb29v9u3bh8PhYGhoiIWFBZaXlzGbzQC0trZSW1uLj48PkZGROBwOqayd0+lEo9FIdWA3ri8ODg5KyVQ+HUUdEhIi7RF2FfSGW4P/8PAwPj4+twU6bcTT05OkpCRKSkoYHx/f0m1Oj8ra2hqdnZ3Mz8+TlpbGb/7mb1JQUADAm2++SW1tLQ6Hg7W1NaxW6wO1abVaMZlMLC4uolQqCQ0Nfagxwmq1YjabWVlZYXZ2lt7eXm7cuEFdXR1DQ0NERUWRlZVFUVER2dnZ9500bXyP19fXpdKb/f39UmS6xWLh4MGDHD9+fJPl6spqJ5PJcHd337Tdx9/fn8DAQNRqNTabDZPJJP3G0NAQZrOZ2NjYu6aKtNvtxMTEEBYWRn19PfPz8w98jT7NrhfXpxGTycS///u/84tf/IKbN29iNBpRqVT88Ic/5OTJk3z/+9/f05v8d9MywL2wWCyMjo6yuLiIu7v7plm4n58fhYWF/Nd//RddXV28+OKLm9ynTqdTyuBz+fJlSktLaW9vRyaTsX//fl599VUKCgqIior6zCck8/Pz3Lhxg7KyMhoaGpiYmCAmJoYzZ85w5MgRsrKyAGhqaqK2thadTsfS0hKvvfYa7e3tkqsuKSmJ5557jrNnz0oJVeCWRSKXy2/bcqZUKomMjMTHx0fy3rjO1VUCz+Fw3LZ/ciMKhQKtVotSqXxitrQtLy/T2trK/Pw88fHxm6y2uLg4MjMzGRkZ4ZNPPuHgwYNERkbet82JiQnKysr4wQ9+gF6v5/XXX3+o8pUuN3tFRQVXr17FZrORlZXFsWPHSEpKIjY2lpCQEDw8PB46D3V3dzeXL1/mpz/9KR0dHbi5uRETE0NeXt5t9a0ByeJ07bxw4Sp+4po4OByOTc++6//vtZS2MbbA9RuPihDXXYhMJsPX11cKArFarchkMubm5ggPD79ts/leYa9ZrmazmRs3bjA7O4ter9+UXtDlzpTL5dL+0o04nU4MBgPDw8M0NDSwsrJCQkICCwsLzM/PS1GkkZGRn8k1m52dZWpqitHRUXp7exkeHmZ6elpKNpCdnU1ubi6ZmZnSvtzR0VEGBgYIDQ3Fy8sLjUZDaGgoZrOZqakpxsfHeffdd1EqlQQFBREcHCwJq8tj82nkcvkdrVJXsQGXZXe3QdIlvh4eHjgcjh3fimO1WpmammJmZgalUklcXNwmEQwMDCQ1NZXR0VFu3rzJ0tLSfdt0OBzcvHmTd999l/LyclJTUzcFCN2JtbU1ZmdnmZycZGhoiP7+fqamppidnZWCfHJzc8nJySElJeWxliw0Gg0BAQEkJiaiUqkkK3RkZISqqirkcjkpKSm4ubkB3Lcij2u5bKPrWS6X4+npiZub233fB4fDgVKpxMPD4557Ze/H3hyF9zju7u58+ctf5otf/OKmQcOV4WanB4jPmifButgKFhcXqaioYGJigri4uE0zfg8PDyIiIggJCUGhUDAwMMDk5CQhISGSFWc0GlldXUWhUPDFL36R3/qt36KhoYErV65Iew3Pnz//mfS7vr5eSswwOztLaGgop06d4sSJExw6dAilUondbt80EBqNRoxGI3ArmOXEiRPExsZit9tpbm7m7bff5vvf/z4qlYrY2FguXLjwQPu3N1ohrmfDy8uLkJAQjEYjdrv9rt91udX9/PykYgk7ydTUFAMDA1itVoKDg4mOjt60V1Or1bJv3z7Ky8sZGBhgZWXlnu05HA6mp6epq6ujvLwcuCXQ97umg4ODUnaujo4OVlZWyMjIoLi4mGPHjhEbGysVS39cEhISiIuL48tf/jIGg4G+vj7eeustfv7zn9PT00N/fz9/+Zd/+cD3xjVx2FjoQ6VSERQUhI+Pz20W70YcDgerq6sAxMTE3HWt/kHY1eK6l6yYB8U1G7vfQy0Cmp5c7HY7AwMDfPDBB1RWVjI/P8/8/DwfffSRZLFqtVp0Oh3BwcGsr6/z85//HKfTyUsvvURkZCRyuZyAgACysrIICgoiNTUVtVotWXKZmZkkJSVt2TMwNzdHS0sLra2t0noq3MqDHR4eTkxMDPHx8SQkJGwKMNmIq1xaeno6hw4dIjo6Whow8/PzGRsb4+LFi1itViYnJ1lbW5PKq7lqiH76fIxGo3ScK40e3BKQyMhIampq6OnpueuEbGlpia6uLnx9fdm/f/+OB40NDQ3R1NTE8vIy+/fvJyEhYZP15O7uTlxcHEFBQayvrzM2NobJZNqUtWvju+/yBlitVoqLi/nFL35xz3Xa0dFRampqqKqqYmxsjKCgIF5++WXCwsLQ6/VERUURFxe3pRN4V8pBuJVPOT09ndnZWZaWlrh06RJ1dXXS2ikg3WOX6//TGAwGSTxdaQ41Gg0xMTFSworFxcU79sXpdNLX18fS0hJZWVkkJCQ88nntanGFp09gH/R8n7brsptwOp0MDg4yPDyMt7c3y8vLyGQyycXqSmSg0WhISUkhLS2NxcVFent7pXqvrqAlX19fUlJSMJlMtLa2UlVVxdLSEtnZ2aSnpz9Wzl+LxYLD4cBkMtHQ0EBZWRnl5eVSLuv8/HyOHz9Obm7uA+8N1Wq1xMTEEB0dvUk0FAoF+/btIzo6elPtUtdkQaFQSFnJXNhsNmZmZlhdXZXWylzCHhYWRnJyMmtrawwODrK8vHxHK2R2dlaqYVtYWLijublNJpOUmGN9fR2LxcLY2Bi+vr7SGqCbmxuRkZFSwFBbWxt1dXVkZmZKE4ON97yvr4/KykoyMzNJT0+noqLinuI6OztLQ0MD5eXlrK2t8cwzz1BQUEBRUdG2ecTUajVZWVkYjUauX7/O2NjYpj67XMcOh2OTe9vlzZmfn8dut0uF5OHWpCQlJQU/Pz9GR0fvWvzCbDbT3d3N4uIiFy5cIDEx8ZHPY9eL65MShCD47Nkra64KhUIKRPn85z+PxWJBoVBIkY4b3cMvv/wyeXl5OBwOfH190ev1tw1y8/Pz/Pd//zf/9m//hsPh4MCBA2RnZz+Wi9NoNEp5W+vr65HJZOh0Ok6ePEliYiIJCQlSLc8HFValUolcLmd+fp7FxcVN+bTh1rrY2toadrtdKhbvygFsNBpZXl6WapvCLUt4YWGBpaUlbDYbgYGBkoAGBwdTVFREXFwcw8PDdHd3ExwcfJtlOjExweDgIKdOnSI/P3/T+uZ2en9GRka4evUqb731lrSntaqqihdffJFvfvObfOUrXwGQ1qldiQ/ee+89nE4n6+vrZGZmEhQUBNy6Ns3NzXR3dxMWFkZERATe3t7S5ONunq/o6GjOnz+Pw+Hg+vXr/M///A8VFRW89NJLUmm5rZiA3O/aarVafHx8UCqV2Gy2TWN8YGAgoaGhrK+vS2kPXW0uLy+zsLCA2WzG3d19UwxKTk4OWVlZvPvuu0xOTjI8PExYWNim92lhYYGBgQEsFgvZ2dkkJSU9cJ8/za4X170w2Aoejt08mXK9oIGBgffM/OI6LiIi4o65hF0D6uTkJM3NzYyOjhISEoJGo8HNzY3m5ma8vb2lFJoPgsFgYGpqipGREYaGhujr66Onp4fV1VViYmI4cOAAhw8ffmT3qV6vJywsjPb2dmJjY4mLi9sUjNTb28vY2Bjx8fFERESg0Whwd3cnPT2d5uZmmpqaKCgokNI/LiwsSAn/4+Li0Ov1yGQyhoeHpRzHJ0+elPIXu2qUwq1I7Z6eHhYXF0lPTyc1NRV3d3c6OzuRy+XEx8dv63Y2p9OJQqEgISEBh8OBVqvFZDJhMpluu39eXl4cOnSIY8eOodVqCQ4ORqVSbXovFhcXqa6uxmg0cvz4caKjo5mamkIul2O1WqXMcHNzc5smSP7+/hw4cID19XW0Wi1lZWWsr6/T2trK0tISHR0dxMXFERYWhr+/PwEBAY+07iqTyZienqa5uZmAgADi4+M3TWzGxsZoa2vD4XAQFBS06TdiY2PZt28fw8PDtLa2cvbsWWkttaOjg4GBAUJCQoiNjcXPz08S29DQUPbv38/zzz+PzWajsrKSM2fOSAn6Jycn6ezsRKfTERAQQHh4ODMzM4yNjRETE/PQk4pdLa5CWJ8u9oLlulVufYfDwcTEBLW1tVy+fJnCwkJee+01enp6+PDDD3njjTdYXl7m5MmTD/R76+vr3Lx5kw8++IBf/vKXzM7OUlBQQEFBAbm5ucTHx0vpOR9VdLKzsxkeHqa+vh6NRkNhYaG0vai+vl5yAboqqXh6emKz2SgqKqKvr4+PP/6Y/Px8CgoK8PX1lUouajQazpw5Q2xsLPPz83z44Ye4u7sTHx/P888/T0pKCj/+8Y9xd3eXxNVgMPDRRx+xurrK7/3e75GWlkZXVxf/+q//SkBAAN/4xje2pfqQi4iICF555RWef/55aU3RJZaf7odcLueVV16RcvUqlUo0Go1kgbnWYhsbG4mLi+P8+fM4nU7GxsaQyWSsrq7S1tbG0NAQi4uL5OTkEB4eLrXv6enJ0aNHycnJ4Xd/93fp7u6mqqqKsrIy3nrrLUJCQsjIyODo0aMUFBQ88ra/+vp6vvzlL5OXl8ef/umfUlhYiFqtxmQyUVVVxU9+8hMAMjIyNnlh0tPT6evr4z/+4z8AeOWVV8jIyGB5eZnr16/T1dVFQUEB+fn5qNVqrl+/Tnd3N0lJSYSEhPAnf/In/OQnP+HKlSscOnRIEtfGxkZKS0s5fvw4KSkpWCwWfvnLX3Lt2jX+6I/+iMLCwoc6v10troKnk91suW4Vrg307u7urK+vU15ezszMDHNzc0xNTREZGfnAwRhLS0vU1NTw8ccfU1VVhYeHBxkZGbzwwgtkZ2cTHR29JettGRkZrK6usrCwQH9/P3//93+Pt7c3drud2dlZFhYWOHfuHGfOnCEsLAy4FTVdUFDA2NgY09PTVFZWMjU1hVKpZHFxEaPRSG5uLidOnECn07G8vIzT6aSsrIy3336bsLAwFhcXuXz5suQyhVvZey5dusTg4CAHDhzg0qVLOBwOZmZmNm2J2i4UCoVUEetObMwpDtzz2IGBASorK6murqahoYH19XVsNhs9PT0sLCxgsVj4x3/8R/Ly8sjPz7/t3srlcmnXgbe3N15eXri5uREeHs7g4CBzc3Osra1x9epVGhsbCQsLk4LZEhISHnjyFRAQwMGDBzEajbzxxht88MEHqFQqzGYzo6OjqFQqzp8/z7FjxzZ5SpKTkzl9+jTt7e1MTk7yz//8z9JEbHh4mPDwcE6dOkV2drYU9DQxMUFJSQlqtZqAgAA+/vhjFAqFFBkM0NLSwptvvkl8fDy1tbVS7nfXmv/DsifEVQy2gqcNuVxOYGAg8fHxpKSk8MEHH/DGG2/g7u7OwYMH+fznP8/Ro0fvuycQbiXHb2lpoa2tjeXlZY4fP865c+c4fPgw/v7+UiDR43oOXFGmrvqqv/zlL5mZmUGhUBAREUFhYSEvv/wyhw4dktzFKpWK6OhonnvuOaxWK5cuXeJHP/oRRqOR2NhYzp07x6lTpySrR61WExcXR2lpKZcuXbot6YQLu93O0tISQ0NDTExMsL6+jq+vL88++yyZmZlPXIazh7nus7OzUp7lvr4+ent7pevgsoqvX79OZGQker3+vkkffH19JS8G3LI4y8vLKS8vp7KyEpvNRk5ODkVFRVitViIiInB3d5fW2O/W98TERP7sz/6MK1eucO3aNXp7e1ldXcXLy4vk5GSOHj3Kyy+/THZ29qbn2NWfubk5PvjgAz7++GPGx8dxd3fn2LFjFBYWcvr0aUJDQ3E4HJILu7GxkbGxMVQqFVar9bZo+rW1Nan4gCsBSV5eHi+++OIjbcmROXepMjmdTl599VUqKyv5v//7v4c22QW7C6vVype+9CVaWlr4j//4D3G//39WV1eZmJhgbGyM2dlZVCoVAQEBxMTEEBgY+ECuTbPZzNjYGHV1ddTU1DAzM4PFYkGlUklp7Q4ePEh8fPwDifW9WF9fZ2JiQir+vra2hlwux8PDg5CQEKKiovD19b1tHW9tbY3x8XHGxsaYn5+X0i261qRd6eysVitLS0tS8W7X2rVMJiMxMVFK3r+6ukptbS1zc3NS0IxGo5Hy9QYHBz/2ue4UruQPExMTGI1GHA4HRqOR7u5ufvCDH+Dr68tf//Vfk5OTQ3Bw8APV393IysoKc3NzTE9PMzw8zODgoPQMjo6OEhUVRVFRETk5OSQlJd01SMxms22qprO8vIzNZkOlUuHr64tOp0Ov19+1CpQr8YjrPFUqFaGhoYSHh0uBTE6nk9XVVaampuju7pb2hTscDvz9/cnJyZGs4vb2djo6OqT2HQ4HOyE1igAAIABJREFUwcHBUqzAwy4TCHEV7Ao2iuu///u/U1hYuOvXX58ENg528/Pz1NfX/3/snXdwldeZ/z+360pXXVe9C1XUkFAHhABTDBji7njCJutsks2uN8lOZnY3s8ns7mR+M7uxk5lMNtl4J3ESO04cm9ixDdiYIgmBJEASQg1V1Hu/qrf+/mDuu4gqQEK60vnMMDbct5y3ne85z3kKZWVlXL16la6uLtzc3Ni4cSPR0dFEREQQHBwseTTbc/o+zjYuBfaY2cd93pXEYDBw/PhxXn31Vfz8/Dh+/PiSpEi1Wq20tbVJSSqKi4txdnYmJSVFcjxKTEyUCiwsBcvxPizGKrPuvIUF6w97+NVa6fhWkpvvoYeHB9u2bSMnJ0cymTY0NFBdXc2vf/1rhoeHSUxMJDMzk5ycnAXOII+rjUvBYgcEa+n9qq6upri4mLGxMebm5njzzTc5fPjwgjJ8D4NcLicsLEzK0DUxMUFrayuVlZWcPHmSP/3pT+zatYt9+/ZRUFCwJIMxR3kfhLgKHAJ7Fhd78gRHNdmtZhQKhWT6cnd3x8/PD71ej7e3Nz4+PnR2dmK1Wunq6mJ8fJyKigqCgoIICQmR1u9WutC44M54e3uTnZ2Nk5MTcrmc2NjYJfOGVqlUqFQqXFxcpDzRVVVVtLa2Sokc1uN7IcRV4DDodLoF63Fi9rq8ODk5kZCQQEJCAs899xzT09OcP3+ec+fOUV5ezvHjxwHIzs5m69atZGdnExYWhpub222J0wUrS3x8PPHx8XzpS19a8mNbLBaMRiPXr1+nqKiI06dPU1lZiZubG2lpaWzdupXo6Oh19y44tLjenJhZsLaRyWTExcUxNjbGn/70J+Lj40lISCA+Pn7NVgFabbi4uJCWloa/vz95eXl0dHRIs9jCwkKOHj1KQEAAycnJJCcnEx8fvyB+Uojt2sJgMNDQ0EBFRQXnz59nYGAAX19fAgMDSU1NJSoqisjISMLDw/Hw8Fh3z97he6X19sDWKzKZjLS0NGZmZqitraWnp4fh4WFGR0elYthOTk5otdp1aYJ6XNgzSyUnJ2MymWhtbaW8vJzz589TU1PD4OCglN91aGiItLQ0goODpTJgAsfFYrEwOzsrlaNra2ujvr6e6upqSktLkclkREVFkZOTQ2ZmJlFRUSvd5BXF4cVVsD6Qy+Xk5OQQEBCAl5cXVVVVfPTRR/zv//4vGo2GjIwMMjIypGow9oTdguVDpVIRERGBn58fu3fvZm5ujo6ODq5evUpRURFnzpwhLCyMp556ipdeekmIq4MzNjZGRUUFxcXFVFZW0tnZSVBQEOnp6Rw4cICoqCj8/Pzw8PBY8dJ9qwEhroJVj92cqFKp2LBhAzMzM7i5ueHn50dTUxMTExMYDAZqamro7e2VHG3Cw8Px9/dHp9MJB6hlQqPRSAkfBgcHGR0dlfK7zszMSJmWBI5Jb28vvb299PT00N7eTmdnJwMDA7i4uJCamkpsbCybN28mIyNjQQYsgYOL61rINSu4Pzc/Y5lMRlJSEsnJyVitVsbGxmhvb6eiokLKTzs0NIS3tzdHjhxh9+7dREdHC3FdRiYnJ7l27RpFRUWcOnWK6upqfHx8yMrKYteuXaSnp4vv1AEZHR2ltLSUU6dOceHCBebn5wkKCmLr1q3k5+eTlZWFs7OzFCcqWIhDi6tgfWGfwdqFUqFQ4OPjg4eHByMjI1JR7K6uLvr6+ujs7MRgMAiHt2Wgp6eHxsZG6urqpOLTbm5uREdHs3nzZqKiooiKiiI0NFTMaByI8fFxmpubuXDhAo2NjVJhgF27dhEQEEB4eLhUj9ceyiMGrndmTYir6DzXB/bRsd31356QfGRkBIPBgIuLC5GRkZhMJmQyGXq9Xqy9LhEmk0m63319fdTW1lJZWUl1dTV1dXW4urryxBNPkJ+fT0ZGhjAHOyiTk5PU1tby5ptvUl1dTW5uLrt27WLnzp2kpaXdNw+x4P9YE+IqWF/09/dLnfuFCxfo6urC39+fsLAwMjIyeOmll4iIiECv1+Ph4bEkFV3WO9evX+fChQtcuHCB69evYzKZCAoKIicnh1deeYXQ0FA8PT3x9PTEzc1tpZsreEhuXWqbnp5mamqK+fn5O85QRXjV3XFocRUPdX0wMTHB8PAwY2NjDAwM0N7eTk9PD319fRgMBpydnQkLCyMlJYXk5GRSU1PFCPsRMRgMDA0NMTAwIDmz2CvIKBQKgoKCSEpKIjMzk6ysLGEhWCM4OzsTFRXFwYMHiYiIQKvVMj8/z6VLlxgcHCQ0NBQfHx98fX3x9vYWffA9cGhxtSPMwmuX0dFRamtrKS0t5dy5c7S2tiKXy4mIiCAzM5Pnn3+euLg4vLy8pNRuIqnEozExMbHAQenSpUuEhISQkZHBoUOH2LRpE9HR0dKam7jfawcvLy+pzuvg4CClpaVcuHCBzz77jIGBAVxdXdmyZQt79+5lz549K93cVc2q/yqE2eH+3OkeOep9m56epqWlhevXr9PW1kZbWxuzs7NSOamIiAgCAwMJDQ0lMjKSDRs2CIeZJaKzs5OqqipqamqkguQxMTFs2LCBiIgI4uLiiImJITQ0VMQxrlHsIW8AgYGBZGZm4unpSWxsLG1tbVK41eeff05vby85OTnExcWtcKtXJ6tKXG02m+SsIpfL0Wg0DikQjxv7PZqbm8NqtUozOEfAarViNpul597Q0EB5eTkVFRXU19fT3d1NeHg427dvJycnh+TkZCIiIla62WuSjo4Ojh07xsmTJ5mfn2f//v1SIfLAwEDxLa5DQkJCCAkJYceOHYyNjVFXV8fZs2eprKyktLRUKjouuJ1VJa7j4+O0tLRw6tQpPDw8OHLkCC4uLvfcZz188Iudhf7mN7+ht7eXV199VZrNrfYZ7OjoKOfPn6e0tJTq6mosFgteXl74+/vzxS9+kcjISHx9ffH09JTCbgTLg06nw9fXF7VazcDAAPX19VLBan9//9sKaq/2d0uwtHh6epKSkkJUVBQff/wxP/nJT7h+/ToTExNSwXHB/7GqxNVqtTI0NERpaSn+/v781V/91T23Xy8ftkwmY35+nrGxMYaGhpiYmMBisUidm1arZWJigvfffx+TycQrr7yyYF+bzSY5BQ0NDUmef66uruj1egICAm7rOG9mZGSE4eFhxsfHmZubA0CtVktZktzd3R/KI7e/v58rV65w7NgxLl68yPDwMDExMURHR5OSkkJqaiobNmx48BsmeCj0ej2bN29mZmaG5uZm5HI5/f39FBcXMzQ0RHh4OO7u7nh5eUmVbwTrC1dXV1xdXUlISMBisTAxMcH09DQ6ne6efch6ZFWJq0ajQavV4urqik6nuy0B+60j5fXkyDQ0NMRnn33Ghx9+yLlz56RYTplMhtVqRS6Xo1Ao2LFjx20v+fz8PGVlZRw7dowTJ07Q29srlRM7ePAgr7zyCj4+Pnc879zcHMXFxRw7doyysjK6u7uxWCz4+vqyadMmnn76afLy8ggLC3vga6quruaDDz6guLgYV1dXvv71r7Nnzx7S09NRKBTr6vmuBvz9/dm9eze7du1iYGCAiooKLl68yOeff85bb72Fq6sr+fn57Nu3j+3bt690cwUriH3pTqlUIpfLxUDrDqyouNoD0uvr66msrJRmVlevXkWn0/GDH/wAjUaDWq3m8OHDxMbGLth/PZWcMxqNUqURm81GXl4eoaGhGI1GLBYLSqUSX19fUlNTF8QZmkwmGhoaOHr0KM3NzSQlJZGWliZVNDlz5gxeXl5s376d6OjoBeesr6+nsLCQuro6JicnSUtLY9OmTczNzTE+Ps7Q0BDvvvsuHR0dPP/884SGhj7QDDYoKIiMjAxMJhMTExMMDAxQXFxMT08PYWFhktv/ciPMmzdQKpWS569Op0OlUuHu7k5QUBBNTU2MjIzQ19fHqVOnGBoaYvPmzWL9e52yHvrcR2VFxdVkMtHZ2cknn3zCG2+8gdFolMyYAOXl5dhsNlxcXIiNjb1NXGH9mIbhhik2JCSE4OBgfvCDH5CcnHzffTo6OigrK+PUqVNERkby/e9/n+TkZPr7+/n3f/93iouLefPNN5HL5QvEdX5+njNnzvCjH/2IkJAQ9u7dy4svvsiGDRuYmpriwoULfPTRR/zmN7+hrq6O4OBgNBoNwcHBi76exMREYmNjSUxMlKqonD59Gq1WS35+Prt27WLr1q24ublJ+UuX43nfnPnJZrPdteOwn3+9jNRDQ0MJDQ1lz549DA4OSs4sFRUVnDp1im984xtCXAWCu7Ci4mqvcvLyyy+TlpbG4OAgvb29lJaW4urqyuHDh3F2dkahULBp06aVbOqqQi6XLzpov6GhgZqaGkJDQ8nMzGTDhg3SLLegoIChoSEKCwupra3FYDDg6urK3NycVAS5s7OTffv2cfjwYcn0q9Pp2Lp1KyqVinPnztHV1UVhYSGBgYEPJK5w4x1ISEjAy8uLzZs309LSQmtrKwMDA/zmN7/hnXfeISYmhuzsbLKzs5fNcWJ8fJw//vGPXLlyBYPBwMzMDCaTSfJklslkREREkJGRwa5duwgPD1+WdqxW7I5OYWFhqNVqXnvtNTo7O1e6WQLBqmVFxVWpVOLn54efnx/Z2dnMzs5y8eJFhoaG8Pf359VXX12wvTDfIc2sjEbjoravr6+npqaGiIgIkpKScHV1BW4IdGpqKjU1NfzlL3+hu7ubkZERXF1dmZ6epqKigra2NpydnUlNTSUxMXHBcbVaLVlZWWRmZjI2NkZ5eTkZGRns3Lnzga/Jzc0NNzc3YmJiyMrKoqamhsLCQsrLy6mvr6e/vx+j0cjMzAwxMTF4eHjg7u6+pAW4LRaL5LzT0NAAgLu7u7TubzQaaW5uprOzExcXF7RaLT4+PuvKicPDwwMPDw8SExMxGAxMTk6udJMEglXLqnJoMhgMGAwGpqampD83p7G7tSNdT2uuNpsNq9UK3KgGc6uz191obGykqqqK6OhoPD09sVqtKBQKZDIZHh4eeHl5oVQqpXVUQBLX6elp0tPTCQkJuWub0tLSaGpqorS0lO7u7ke+ThcXF1JSUoiNjeULX/gCzc3N1NTUSM5PKpWKPXv28MQTT5CXlydlCXpUPDw8+Lu/+zs0Gg3f+9732LJlC1/96lfZuHEjOp2OgYEB3nvvPT799FPef/99ZmdneeaZZ9ZlCILJZJIcWQTrl5v73/XQBz8oq0pcNRoNISEh7NmzBzc3t0XNCtbLTFalUuHs7Mzs7CxdXV28++67xMXFMTo6ikajwc/Pj8TERIKCghZ0elNTU0xPTyOXyxc4G8nlcnx9ffHz80OpVGKxWDCZTMANR7PR0VFMJhOenp53zcYjk8nw9fXFw8MDk8nE9PT0I1+nTCbD2dkZZ2dnvLy8CAwMRK/X4+bmhkqlYmBggL6+Pil8JyYmhpiYGMLCwh4pBlahUKDX69Hr9cjlcsLCwti2bZu0phgXF0dbWxuXL1+mu7ubhoYG5ufnH/l6HRGbzbZu1p0Fd8ZqtUrvv0ajWVcWnMWyqsTV3d2d5ORkkpKSAFEn8GacnJzw8/NDrVbT2trKG2+8gc1mo7e3F1dXV5KTk3nllVfYvXs3vr6+ktenUqmUnMTsM19AqtPo6+uLXC5fYHKXyWRoNBrkcrnkjXw3bs7luxwfmJubG9nZ2VK1m8bGRs6cOcOJEye4ePEiycnJ7Nu3j127dpGYmPjQ3sUWi4Xh4WH6+/slJzoXFxcpzAluZKtJTEykubmZqampBfdzPbFcjmUCx8FsNjMzMwOwZNajtcaqEle4/cNdzDrrevjQ3dzcSEtLQ6vVsmfPHuRyOSaTidHRUerr62lra+Ptt9+mvb2db3/724uexd0p6bpSqcTd3R1XV1dUKtU976/ZbEalUqHX65fVRKpQKPD29iYpKQlnZ2c2bNjAtWvXGBkZoaenh5/+9Kfo9XrS09NJTEwkKioKLy+vRYcGmc1muru7GR0dxc3NDX9/f/R6/YJrNxqN9Pf3Y7VacXZ2XteDv/XwzQnujd0ULN6FO7PqxPVW7vXg7EK8Huz9Tk5OhIWF3TFZw+nTp/nd737H0aNH6evr48UXX1wgrve6P7eaNm02G2q1moCAAFpbWzEYDHd1nrJarQwPD2OxWIiNjSUgIOAhr27xuLq6kpqaSmpqKmazmbKyMk6ePMnVq1epqqri+vXrdHd3s3XrVjZv3oynp+eijms0Grl+/Tqjo6NSuNPN7978/DyNjY20trZKWaTWa5k1MXMVwPryeXkYHH7oLR4sxMfHs3fvXgICAhgdHaWhoeE2k6U9PvNmbDYb4+Pj0rYWiwWLxYJWq5ViXisqKhgeHr7jeS0WC/X19YyOjpKTk0NMTMwyXN3dUSqV5OXl8eqrr/Kzn/2Mr33ta8zOznLy5Enef/99ent7F30sk8lEc3Mz09PTpKWlLUhG3tzczK9//WuOHj1Kd3c3mzZt4oknnrhv3uu1zHoZ1AoED8uqn7neDZlMhkKheKCYT0flfqZxLy8vIiIi0Ol0jIyMSHGaOp0OnU6Hi4sLZrOZ+fl56ThWq5Xx8XFGRkYwGo2o1Wrc3d1RKpWSCfr06dMYDAb6+vru2IapqSmampqYmpoiKyvrsVfHmJmZYWxsjP7+fvr6+pidncXNzQ2NRkNAQMCiParhhlm4tbWVpqYm9Ho9n3/+OYODg0xPT9PT00NLSws6nY5du3aRl5dHZGTkup69redrFwgWg8OKqx3hBn7DpDk3N4fFYkGlUqHT6dBoNABSVZPp6WlGR0ele2U36Q4PD2O1WvH09CQwMFA6ZlRUFOnp6QQHB9Pf3091dTVxcXGSYFmtVvr7++nv78fFxYWkpCR8fX0f2zXPzMxw7do1zp49S3FxMRUVFbi7u7Nnzx527txJRkYGXl5eiz6eyWSio6ODq1evAjdM7UqlErPZTEhICNu2beP5558nNzeXkJCQdS0uN5uFRey5QHBnVlRc5+bmqK6upqqqivr6eoxGo+TdCrev7dj/rlarMRqNFBYW0tXVxU9+8hM+/PBDaZu7/ddiseDs7ExAQACbN29m8+bNj/NyHxqZTEZ1dTXvvPMOUVFRFBQULEhV2NnZyfnz55mZmSEgIICQkBDJkSc+Pp74+Hiqqqrw8PDgySefxNvbG5vNRmlpKQ0NDSQkJJCUlISLiwsNDQ2Mj48TFRVFcnIy3/72t+nv7+fMmTMLZoO1tbVUVlZKszhPT08uXbpEbW0tBQUFy5LBaHp6mra2Nurq6rh27Rrt7e1YLBb8/f15+eWXCQ8PZ+PGjcTGxj6w0Pf399PT04O7uzuHDh0iKCiI6elpjh8/jtlsxsPDg7CwsNtm5+tVXIS4CgT3ZkXF1Z715vPPP+fkyZNMT09LnbddSG8V2pv/zWq1otVqKSwspKio6L772eM2ExMT8fT0dBhxhRvJIF577TVSUlKk2XpgYCBjY2OUlZVx8eJFPDw82LRpE6GhodJ+iYmJdHR0UFxcTFVVFRUVFSQkJDA8PMyFCxcYHR1lx44dZGZmolAoaGxspKamhoaGBsLCwsjLy+NXv/oVzc3NPPXUU/j5+QFQVVVFYWEhqampxMbG0tjYyPHjx6msrCQ6OnrJxNVkMmGz2ZiZmaGhoYFLly5x7tw5WlpaMJvNZGdns3v3bp544okFBQsehLGxMdrb2xkdHSU6Oprvfve7JCUlYbVa8fDwoLy8fEEc8M3Y3zOz2YzRaMRoNEp5kNVqNWq1esGAcS1w6ze4nr2mBYK7saLi6uzszPbt24mNjeUrX/kKZrNZ+lDt5stbTb72kbLVapXWC318fFCr1QviMW/ez/7/ZrNZmrneLevQaiUgIIDt27fT29vLz3/+c/7nf/4Hm82GyWTCycmJgIAAnn/+ebZs2bIgJCY+Ph6A7u5uKioq+Od//mfm5+dRKBR4eXmRnp7OU089RWpqKlarFS8vLwwGA//1X//F1NQU7u7u1NfXExoayuzsrHTcq1ev8s4773DixAnc3d2RyWTo9Xo2bdq0pCE5tbW1lJaWcunSJfr6+lAqlURFRbFz507i4uLw8/PD29v7oYUVbpTz6+npwWaz4e3tLb0bcrmcjIwMurq6OH78OMHBwezdu/eOx2hububcuXN8+umndHd34+bmxhNPPMHevXuJjo5ec7GAt36nAoFgIYsW16U2/9hsNpRKJcHBwQ+c7N3O5OQkc3NzizYB3ukaHMWsFRYWxosvvsjVq1dpbW2lv79fyrwUEBBAbm4uu3fvJikpaUEyB6VSSXx8PF/4whfw8PCgpKSEvr4+nJycSElJYfv27aSnp6PT6bBarQQHBxMXF8elS5fo7u5GqVRKxctv9o4NCQlh48aNCyrKxMXFkZ+fj16vf+jrnJ+flwqzd3Z2UltbS11dHV1dXWg0GiIiItiyZQvZ2dlLNkBqb2+noaEBZ2dngoKCJKE2m83ExsYSFBREZ2cnzc3NWCyW25JljI+PSzPqoaEhxsbGGBgYQKfT4ebmhl6vX3PiKsIwBIJ7syhxvdcHtJLiZPeEXSx3aqcjCCtAYGAgL730Es8++yxmsxmr1SqF0CiVSjQaDU5OTnc00SkUCvLy8ti8eTP/8A//gMVikbysnZycJOcnuVxOaGgoL7zwAgcOHJCqwdhsNlQq1YLY2VdeeYUXX3xxwXluPd7D0NnZycmTJzlx4gTt7e2SGf8rX/kKaWlphIaGolAoltRDvK6ujosXL+Lt7U14eLj0Tsjlcvz8/AgODkalUjE2NkZTUxMbNmyQ1rTHx8epr6+ntLSUqakp/uM//gNXV1fOnTtHWVkZZ8+eJS8vb4GzmKMj4lwFgvujBGhtbaW8vJzOzk4mJiaQy+V4eXkRFRXF1q1b8fb2BuDKlSscO3YMNzc3EhISyMzMlKqs3A2r1Uprayt1dXXU1dWxceNGDh8+vCQf53pZ67HP8m8uYvAg+8pkMpycnBYVmmIvmH23QYt9jc3V1fWez36xgy6bzUZbWxvNzc00NTXR09MjVefJyckhOjqajRs3kpCQsOS1QycnJ6UKPJWVlTg5OREcHMzp06dJT0/H09NTytak0+m4evUqb7/9NocPHyY1NRWVSoVarUav17Nt2zbMZjM5OTlSQorIyEiAu+ZmdmTEzFUguDdKgPPnz/OLX/yCuro6DAYDAD4+PmzevBl3d3cKCgqAG04s//qv/4qLiwuHDh0iJCTkvuJqsVgoKSnhrbfe4uzZs7z00kscOnRIjHwfgEe5V0t9nxc7oFnseQcHBykqKuL48eOUlJTg7e1NVlYWBw8eJCsra1njSfv7+yktLaWvrw+44b3e3NzMhQsX0Ov1UnanwMBA4uPjaWtro7i4mMTERKKjo3Fzc8PZ2Zno6OgF3tuDg4PIZDJSU1OlNIpriVsdmgQCwe0o33//fc6cOQPAP/7jP5KYmIjZbObChQuUl5fz29/+lv7+fl544QUSExM5ePAgxcXFXLp0id7e3vtm5VEqlZSVlXHlyhWysrLIy8t7HNclcAAuXrzI6dOnKSwsZG5ujqeffprc3FyysrLw8/N7JCelxeDn58e+fftISkpidHRU8g4ODg5esJ4bHR3ND3/4QyYmJtBqtcTExODs7HxH0R8eHmZsbAwfHx+Cg4MJCwu7Y/5mR0c4NAkE90b59ttvMzw8TGpqKl/+8pelEIqQkBCGh4cpKytjbGyM3NxcoqOjef7552ltbaWtrY2WlhaSkpLw9PS864xmaGiI+vp6JicnefLJJ9m6dauYtQqA/8uwZDAY0Gq1hISEEBQUhE6nw2KxMD09fVcRWwrc3d1xd3dn48aNd93GZrPh4eEhWW/uhsViYWpqiqGhIRQKBREREahUKiYnJ6VyeWuFW5NICASC25F//PHHaLVann766QUZbaKjo3nmmWfQaDTU1NTQ3t6ORqMhNTWV4OBg5ubmqKmpobGx8a6moaGhIcrKyhgcHMTDw4Pk5OQlXzcTOC5btmzhG9/4Bi+++CJ6vZ6jR4/y3e9+l6997Wv87Gc/o6ysbElqxD4KixX2zs5OGhsbsdlsUoGFmpoafvnLX9LZ2bnMrVw5hLgKBHdG+fLLL5OdnU1qauoCJxZ3d3dpvWt4eBiDwYBarSYsLIzo6GjKy8u5cuUKsbGxZGZm3vHgnZ2dlJWVYbFYiIyMJDIy8r5rtLcyMDBAS0sLLS0tjI6OolQqpVny3ZJFwI0EFREREeTn5z+UI5Bg+VEqlURGRrJjxw68vb2pr6+nu7ubmZkZ2tvbGR8f59y5c4SEhBAVFUVwcDB+fn4P/A4tNxMTExw/fpxz587h7e1NQEAAXl5eXLp0iampKQ4cOLDSTVxSbDabFJK0nosXrGecnJxuqxEtWIjyt7/9LXD7CH1ubo7x8XFkMhnOzs6oVCoUCgWurq5s3LiRmJgYGhsbqaqqwmQy3XFdqb29nYsXL+Lu7k5aWtpDOXZ0dXXx8ccfc/ToUVpaWlAoFFLGG3ulF7lcvuDvcCOp/JNPPklycrIQ11VOYmIiiYmJwI3nffXqVcrLyykpKaGkpAR/f3927NhBdna2VK91tXjg2pOZnD17lqNHjy74LSgoiG3bti1LEfmVRC6Xo1KpsFgsGAyGZV8bF6w+7EVA1kvExsOgvJvZ69q1a7z11lvI5XK2bNmywMEjPT2drq4ufvGLX9DU1ERHRwexsbELBNpisdDY2MiVK1fYtWsXe/bseaiPMCQkhP379xMdHc3w8PBtHdWdMjHZbDbm5uaIiYlZ1gLegqUnODhYqie7adMm9u3bx/DwMNPT05SUlFBUVISnpycREREkJSWRlJREUFDQirVXJpPh7e3NX//1X5OdnY1CoZDSU3p6ehIeHr6mYlwBPD092bBhA2fPnqWurg6NRnPHAcStZekeJM50/z71AAAgAElEQVR8Meb4B9n3fsdzdnZGqVQyOzuLyWS6Zyzv427bUh7rQY93p39Xq9W0trZiNBpxcXERSwN3QZpu2mw2qTC22Wzmk08+4cMPPyQ7O5v9+/cvyKJkz037+9//nv7+fmpra/Hw8MDf3x+4kQ+2t7eXtrY2RkdHiY+PJzc394FKgNnx8/PDz8+PrVu33ndbe6dmN1vJ5fI16am5lpHJZNIzT0tLA6ClpUWaxTY0NFBTU0NzczMjIyOMjY0RHR2Nr6+vVG5Oo9E8thG1TCbD3d2dJ598kieffPKu2zlKJrDF4OfnR0FBASdPnqSkpEQq/3grD9vRL7eY3FoMBG4sP1ksFjw9PXFxcZHMnTdve7dnuBTtvVchhKU6vl0EH/V4VqsVJycn0tLSiImJWTPv9VIjKc/8/DzHjx/nxIkTXLp0iYaGBuCG08kXvvCFBbNOnU5HTEwMISEh9PT0cPnyZUJDQyVxnZycpLKyksHBQXx9fYmOjpYSvi8nN48215opbj0TGhrK/v37KSgoYHh4mNbWVlpbW2lubub111/HYDCwadMmMjMzyczMJDk5WXpfV4uorYY2LBWhoaF89atf5Zlnnrmnw9liZjR322Y59735d61Wi9Fo5N/+7d8oKiriBz/4Adu3b8dgMNzxOI/S3rtt9yDtfVznvNd29upier0ePz+/NV9P+2GRxFUmk6HT6dDr9VI4hLu7OwaDgTNnzpCcnExAQIDkwODt7U1ycjLj4+OUlJSQmpoqOTaNj49z/vx5Jicnb6vSIhA8KPYsSHAjx3JkZCShoaF4eXkhl8vp7u5GLpfT0tLCyMgIra2tUum51eb85OjYbDacnJwICgpaUXP8UhMSEoKTkxOZmZmkpqaudHNWhMWKsNVqFRbBRSDdIY1Gw969e9m9ezc2mw2j0Uhrayvf+ta3eOONN/iXf/kX9u/fT1xcHDKZDKVSyZYtW2hvb+fTTz9l9+7d0kFHRkYoLi5GrVZTUFDwWGatgvWDh4cHGRkZbN68mVdeeYWRkREuX77MqVOn+Pjjj5HL5aSnp/Od73xHcpQSLA1raQZ+M/Y82nNzcyvdlBVjsc9WWAUXx4KFKaVSiVqtRqPR4OrqSlxcHCkpKQQEBNDW1sb169elbZ2dndm5cyeZmZnYbDaam5vp6urCaDTS0dFBY2MjTk5OZGVlPXDhaoHgXtjX+JRKJaOjo1RUVPDJJ59w/vx5Zmdn8fX1JSoqSoSJCBaNPeJAsJBb62iLog2LRzk0NIRWq8XFxeW2m6bRaEhLS2NiYoKJiQkGBgak3xQKBX5+fqSnp+Pm5kZ/fz/nzp0jLCyM9vZ2LBYLgYGBJCQkCI9dwZJgs9kwm82YTCampqbo7++nsrKS8vJySktLMRqNpKSkkJeXR15eHj4+PivdZIEDYa8TLRAsBcpnn32Ww4cP881vfvO2UmEymYypqSmGh4fRaDSYzebbDmD3HJyfn6ewsJDg4GAMBgM5OTlkZmZKFXVuZbU4mqyWdggWcqfnMjMzw7Vr1ygrK+P8+fPU1NTg5+dHXFwcX/rSl4iKiiI8PBy9Xi8l1RcIFoN9RibCSgRLhbK4uBiFQkF6ejqZmZkLwmUGBwepqamhs7OTHTt2EBYWdtsBfHx8yM/Pp7CwkJKSEtzd3QkODiYrK4uUlJS7hkTIZDLMZjMDAwMMDAwwNDQkhc/Yf791+8X+/W4u5VarFZVKhU6nIyAggMDAQCGsqxT7cxkbG2NsbIyhoSHa2tqk5YmBgQGUSiUhISGkp6eTnZ29oM6qQPAgCHOnYKlRhoaG0tjYyJtvvom/v79U5WZ8fJwLFy5QVFTE0NAQ27dvJzc397YX0MfHh4yMDEpLS6XwndTUVJ599lmioqLuefKZmRnOnj3Lhx9+yMmTJ5mensbJyemO9v2l+Dez2YyHhwcJCQk8//zzvPDCC0t3JwVLztzcHJcvX6awsJDy8nJ6enpwdXUlNzeXr3/966Snp+Pt7Y1Go5EyiAkED4M925CYuQqWCuU//dM/cebMGWpqavjP//xPQkJCsFgsdHd3093dTVRUFM8++yybNm26YxpBe+H0iIgI1Go1RqMRuVxOXFzcfTPTqFQqoqKi2LFjB76+vszPz9/m4v0wo8m77WM2m3F1dZXyHAtWljuZfnt7e2lqaqKlpYWuri4pO1NISAjJycmEhoYSFxfHxo0bF2QNEwgeBWEWFiw1ym9+85v4+/vz3//933zwwQeMjY0hl8uxWq04Ozvz+uuv85WvfOW29dib8fLyIjU1lfz8fJqbm9m4ceMdTci3otVqycnJIScn577b3pza8OY/9/q3W3+zm4XFWtzqwC6sVquV2dlZhoaGqKqqoqSkhNOnTzM6OkpMTAxZWVls27aNzMxMqYC5QLCUCLOwYKlRwo0sTD4+PgwNDTE7O4tcLsdisaDVasnIyLinsNrZtm0bYWFhGAwGfHx8ljx4/2YTr2DtMDs7S1lZGSUlJVy6dAmNRkNISAjPPfccAQEBhIWFERgYiF6vF8IqWDbs4iq8hQVLhRLA19f3kWNR75SxRXjiCu6H2WymtbWVM2fOSN7mgYGBbN68maysLDw8PBZsL94pwXIgzMKCpWZZs5uLTlBwP2QyGS4uLlIstNlsZnh4mN7eXgYHB1e4dYL1gjALC5aaVZ8gsr+/n6amJqkKikqlkj4EJycnFAoF8/PzWK3WBR+IyWQiIiKCHTt2iPyyqxi1Wk18fDyHDx8mMjISg8GAUqnkypUrdHR0EBwcTHBwMCEhIURGRq6aOq6CtcXN1bQEgqVg1YtrV1cXx48fX1AsXaFQSOvCcKODVigUC0JwDAYD+/fvJy0tTYjrKkatVpOamiolS6+urqaoqIjCwkJOnz7N/Pw8sbGx7Nixg4MHDxIdHb3CLRasReRyudSHCARLwaoX17CwMJ566ikSEhIYGRlBLpej1WqZnZ3l5z//Oc3Nzfz93/898fHxTE1NAf9XLH3Dhg23rdkJVjfR0dE4OTmRmJhIV1cX7e3t9Pb2UlNTA0BGRgZpaWkib7BgSXFzcyMgIICAgICVbopgjbDqxdXubJWbm3vbb0VFRYyMjHDkyBFp5nOzecdevUfgODg7OxMbG0tsbCwA7e3tlJWVcfnyZVpbW1EoFMTHxwtxFSwp9lKbMzMz9y0qLhAsBodWHrvn6M3u83az8N3SLgoci8DAQA4cOEBOTg6nTp1idnZ2pZskWIMEBQXh4+PDp59+ytDQELt27cLNzW2lmyVwYBxaXO0I9/m1i1qtRq1Wo9PppPzChw8fXulmCdYYMTExjI6OUldXx8mTJ2lubiY6OpqYmBjCwsKE34bggXFYcRWmm/WFyWSiqKiI2tpavv3tb690cwRrjPj4eJycnJibm+OTTz7hV7/6FXFxcRw+fJh9+/aRlJQkBFbwQDisuN6MmLmuD+bm5pidnRVZdARLjpOTE2FhYezcuZOAgAByc3MxGAxMTEzwy1/+En9/fwoKCkhKSrotWY5AcCfWhLgK1gdqtXpRqTgFgofB2dmZ5ORkkpOTmZqa4ty5c/zlL3/hgw8+QKVSodVq8fX1FeIqWBQO7fVjNwmLmev6QCwBCB4XbW1t1NXV0dLSwuzsLBqNBp1Ot6DetUBwL8TMVeBQiPyvguVgcnKSoaEhRkdH6erqoqWlhc7OTvR6Pfv37yc8PJykpCRRPEKwaIS4ChwGMXMVLAcmk4na2lrOnj3L6dOn6e3txdPTk+TkZPbu3Utubi6hoaEibl7wQDj8myI6XIFA8KD09/fT3NxMXV0dDQ0NUvKIkJAQkpKSiIyMlEJxNmzYsNLNFTggDi2uYs1VIBAsBruH+dzcHL29vTQ0NHDhwgWKioqoqqoiPj6eXbt2kZ+fT2pqqnBaEjwyDi2uIEpFrUfEYGr1s5rq7losFsbHx6mqqqKkpISGhgampqYICAhg586dHDlyhPDwcEJDQ/H19RX5yAVLgkOL62r5eAWPBzGQchxkMhnz8/N0dXUxOTmJ2WzGYrFgtVql/N8ymQydToeXlxe+vr7L5ok7NzdHa2srZ86c4cMPP2RiYoLQ0FDy8vLYuXMnGRkZIl2qYMlxaHG1I2YyAsHqY2BggJ/+9KecP3+ewcFB5ubmJIE1m83I5XISExPZuXMnL730EgkJCcvSjqmpKa5cuUJFRQV9fX1kZGTw5JNPsmfPHmJiYoSwCpYFIa4Ch8E+cxXP2zGwJ2Woqqqiu7sbT09PUlNT0ev1yOVyDAYD/f39nD17Fi8vLywWC3FxcahUqiVth1arJTY2loKCAvR6PTqdjsHBQf7whz/g5+dHdHQ0YWFhBAYGihSHgiXD4cVVmAkFgtWJj48Pr7zyCiMjI5w/f54DBw7wrW99i+TkZFQqFX19ffz4xz/mvffe48SJE6hUKiIjI5dcXN3c3CRHpaamJkpLSyksLOTUqVM4OzuzY8cO8vLyyMjIIC4uDjc3t1W1ZixwTBxaXMXLv74Qa66Ox/z8PHNzc9hsNry9vQkODpbEMyAggKSkJGpra5mcnKSnpweLxbJsbXF3dyc+Ph4PDw82btzI3r176evrY3R0lOLiYj7//HP8/f2Jjo5m06ZNbNq06bEnjRCivnZwaHEFIbACwWrFaDTS1dXFyMgIKpUKDw+P28yuHh4eeHt7Mz09jdlsXvY26XQ6oqOjiY6OZufOnXR3d1NcXExRURF1dXX09vbS29vL5OQkU1NTxMfHo9PpcHFxQafTPdD6rNVqZXp6GoPBwMzMDEajEZvNhlKpRKvV4u7ujouLCwqFQurH7P+17zc5OYnRaEQul+Pk5ISbmxteXl73bIfBYMBgMDA9PY3JZLrjOUUyjOVH3GGBwyHWXB2D+fl5rl+/zvj4OD4+PgQEBODs7Lxgm6GhIVpbW3F2dsbb2/uxOxf5+/uzb98+CgoKGBkZoaGhgbq6Ourr6zl+/DhWq5Xs7Gx27tzJjh07Fh2mY7PZmJqaorS0lFOnTlFeXs7169cxmUz4+PiQmJjIM888w9atW/Hx8VkgdiaTiUuXLvHZZ5/x6aef0tPTg5OTEwkJCezbt48jR47cdUZtsVg4f/48J06c4OLFi3R1dWGxWPD19SUlJYVDhw6RnZ0t4ngfA2tCXEVnKxCsPmZnZ2lpaWF+fp6EhAQiIyOl36ampmhtbeX8+fN0d3dz4MABUlNTH/uMSqlUSkIVEBBAYGAgISEhBAUFce7cOWpqarh06RKzs7PIZDLS09MJDQ2973F7e3spLCykubkZg8FAcHAwnp6eTE1NMTIyQm1tLSqVipmZGQ4dOiSJttVqpaWlhY8++ojq6mo8PT3x8PDAarXS0dHB559/jl6vJy8vj7CwsAXnvH79OqWlpVRWVtLd3Y1er8fd3Z35+XlmZ2dpa2vj/fffp6enh0OHDhEcHIxCoVj6myoAHFxcbzWlCNY2wlvYsZibm6OxsZGZmRliYmJwc3MDbgjrxYsXOXbsGCUlJVitVnJzc9myZQtqtXpF2+zl5UV2drb057PPPuODDz6gvLwcpVKJk5PTosS1s7OTd999Fw8PD3bu3MmuXbsICgpiamqKP//5z/z2t7/l9OnTDA8Ps337dklcu7q6KCsr4+OPPyYwMJD/9//+H8nJyQwODvLDH/6QCxcu8MYbb2A0Gvnyl78snc9isXDmzBl+9KMf4ePjQ0FBAc8//zwbNmxgenqasrIyPvnkE/7whz9QWVmJr68v27ZtIzAwcNnu5XrHocXVjuhsBYLVh8lkoqWlhYqKCurr62lpaSEgIACTyQSASqXiiSeeIDIykuzsbHQ63Yq212az0dDQwLVr12hsbKSnp4fx8XGCg4PJzs4mPz9/0bG4oaGhHDlyBBcXF6KjoyUzrH3NNyIigs7OTimphp3Gxkaqq6vR6/WkpqaSkJCAq6srTk5O5OfnMzg4SFlZGVevXmVqagqdTofRaKS5uZnLly/T2NhIVlYWBw4cICYmBo1Gg1arJT8/H4VCQUlJCd3d3RQVFeHv7y/EdRlZE+IqWB+IXNKOhcFgoKOjg4GBAdzd3RkZGcFoNDI7O4u/vz8HDx5k//79bNu2bUWE1WKxYDKZmJubw2Aw0NPTQ2VlJRcvXqSyshK5XE5kZCRbtmxhy5YtZGZmLuq4NpuNoKAgnn322Tv+ZjQa8fb2Jjk5mYiIiAWZqRoaGqipqSEyMpL09HRpti+Tydi8eTONjY0cP36cjo4OhoeH0el0zMzMUFVVRXNzMyqVivT0dLKyshac19XVlW3btpGVlcX4+DilpaWkpqayffv2R7iDgnvh8OIqzITrCxGOs/qx2WyYTCY6OzsZGBhg48aNfOc73yE+Pp7BwUF+9rOfMTk5iY+PD15eXrcJ62LDUR41bGV0dJTa2lpKS0s5ffo07e3txMbGEhMTw9/8zd9IySU8PDwkkVsMd2uTvRJPaWkpAwMD7Nixg9zc3AVOUo2NjVRUVHD48GG8vLwWHNPT0xNvb29UKhVzc3OMj48DMDMzw+XLl5mYmCAtLe2uZmu5XE5aWhpNTU1cvnyZjo6ORV+T4MFxaHEVnez6RAymVjc2m43BwUG6u7uZm5sjMjKSw4cP4+3tDdwQkAsXLtDc3MzIyMht+8tkMqxWK21tbXR3dzMxMYHRaEShUODs7Iyvry9xcXG3eR7fD5PJxMjICCMjI/T29tLa2kpnZye9vb3Mz8+j1+uJjY0lJyeHTZs2ERUV9cjeyxMTE3R1dVFXV0dzczM9PT2MjIzg7OxMQkICmzZtWrD9+Pg4ExMTyGQyNBqN9K7L5XL0ej2+vr6oVCrMZjPz8/PSdQ0ODmI0GgkNDb2nFSAgIAAfHx/m5uaYnJx8pGsT3BuHFlcQAisQrDZsNhu9vb10d3ejUqnw9vaWZmezs7NkZGRQX1/PH/7wB1JTU9m/f/9txzCZTHz44Ye8++67NDQ0MD09jUqlIjQ0lF27dvG9731vUY5FNzMwMMC5c+coLCykurqa4eFhQkJCyM/P54tf/CIbN27E3d0djUaDXC5fkr7F7vn7+9//ntbWVlxcXIiNjWXr1q1otVqsVusCAb/ZW9peJg9u9HNqtRp/f3/kcjk2m03aTyaToVKpkMvlmEymeybiUCgU0jmEp/Dy4vDiKlg/iDVXx0ChUFBXV0dtbS3+/v5ERERIHblSqSQyMhJ/f39MJhN9fX3Mzc3dVhFHJpOhVCqJjY1lz549qNVqbDYbLi4uREZGPpCZdnJykqqqKi5cuEBVVRUKhYKMjAxCQkIIDw8nIiKCDRs2LEs2Jl9fX7Kzs3FycqK7u5vZ2VkGBgaorq5Go9EwOjr6QGvOarX6tqUwhUKBm5sbOp0OpVJ5z0GBxWJBpVLh6ekp8igvM2tCXEVnu34QlorVj13Mrl69io+PD1qtVhJQpVKJn58fQUFBKJVKent7qaqqYuPGjQsEUyaT4evrS15eHs8++yx6vR6TyfRQeYenpqa4fPkyhYWFtLW1kZOTQ15eHrt3716wrrkchISEEBISwr59+4AbM9m3336bd955hz/96U8MDAyQkpKyaHG1Z3m6eaCpUqnw9/fH1dWVubk5yRv7VqxWK2NjY1gsFqKjowkICFiaixTcEYcWV9HRri/EzHX1c/36dU6dOsWZM2fo6Oigo6MDrVaLr68vO3bsICQkBK1Wi7+/PzqdjnPnzqHVavnqV78qzfDsM7Ph4WE+++wz/vjHP2KxWPD29uapp55i586dBAYGLjom1tPTk3379uHk5MRnn33G5cuXJUemzMxMUlJSiIuLeywJLCIiIti9ezcmk4m33nqL6upqZmdnpd/tpmCZTHbH9d7x8XEpfMdisWCxWNBqtURFRUkJJIaHh6XtbxZiq9VKQ0MDo6OjZGdnExsbu8xXu75xaHEFIbDrDfG8VzdGoxGz2UxcXJwkDkFBQZhMJoxGo7RdVFQUBw8epK+vD61WCyxcY1QoFAQEBODr60tvby9jY2OMj49z8uRJ5ufnee6559Dr9Ytqk1arJSEhAblcjlwup7i4mI6ODpqbm5mdnaW3t5e2tjbCw8Nxd3fHw8MDd3f3Jbwr/4dCoSAuLo7h4WH++Mc/MjAwsCCnslarxcnJCYvFgtFoXDCgnJiYYGRkBJPJhFqtRqfToVAo0Ol0pKSkcObMGcbGxujv75eOd/P3Mj09TVNTE5OTk2RmZhIXF7cs1yi4gUOLqwjLEAhWF5GRkQQGBvLss88uSBZhFw07SUlJ/PjHP8ZisaBUKnFxcUGj0Ujfs0KhYNeuXeTm5qJQKJienub69eu8/vrrvPnmm+Tn5y9aXO1ERUURFBTESy+9xMDAAGVlZZSXl/PBBx9gMBjw9vZm27ZtbN++ndzc3NvWgRfLYkKElEolSqXyNscpPz8/goODmZmZYWxsTPp3q9XK6Ogow8PDmEwm3NzcCAoKkvaNj49n8+bN/OUvf6Gvr4+6ujqioqIWXIPdg1sul5OamkpwcPADtVnwYDi0uMKNl0KYCdcHYjC1+lGpVKhUqrs6y9i/VbVajY+Pzx23mZmZYXh4mJaWFlxdXcnIyABuzOqMRiPXr1+XwlAepm1woxqPQqHAw8ODsLAw2tvbGR8fp6enhw8++ICTJ08SERFBXFwcUVFR+Pn5LXq9VyaT0djYyEcffUR4eDhbtmxZsL7Z1NREUVERJpNpQQk+gNjYWOLj46mvr8fPz48nn3wSLy8vbDablIEpKipKytx0/fp1JicnCQ8PJzExka997WvMzs5SWFiIXq+XxLWpqYnq6mpSU1MJCgpCr9dTX1/PtWvXyMzMXCC0gqXB4cVVIBA4DosZHE1NTdHc3Mx7772HWq0mODhYMg+rVCop1vNR2bBhAxs2bODQoUP09fVx9epVSkpKKCws5OLFi0RFRbFz5062bNlCSkoK4eHhi57N1tfX8/3vf5+srCxUKhW5ubl4e3vT399PSUkJJ0+exM3NjczMTMksDjdm9O3t7RQXF1NWVkZdXR3JyckMDQ1RUlJCT08P27dvJzs7G6VSSU1NDXV1dURERBAaGsrTTz/Nm2++ydmzZ9m9eze+vr4AVFZWUlhYSFJSEgkJCfT09HDs2DHOnz8v1dkVLC0OL65iJrP+EJaKtY1KpUImk9Hb20tFRQXV1dXodDqpJuyWLVvuOut9WPz8/EhPTycoKIi8vDy6uroYHR1lbGyM9957j08++YStW7eSm5tLYmLifY8XGRnJkSNH6Orq4pe//CW/+MUvJCubyWQiICCAgoIC8vPzF2Roio+Px2w2c/36dWpra/n+97+P1WpFJpOhUCiIj4/nwIEDpKWlYbPZcHNzY3x8nNdee435+Xk8PT25ePEifn5+TE9PS8etqanhd7/7HYGBgVI9WLsj1ErndF6rOLS4CmFdXwhv4fWBk5MTer2euLg4uru7aW1tRaFQEBYWxlNPPcXu3bsXXVd1scjlcnx8fKRaqyMjI5SUlPDpp59y6dIlKTQoPj5+UceLiIjglVde4cyZMxQWFtLa2sr09DSurq7Ex8ezZcsWDhw4cNvxNBoNqampPPfcc7i7u1NUVERPTw8uLi7k5+eTn58vpUy0Wq0EBQURERGBzWajr6+PiYkJqTjAzbNsd3d39Ho9ZrOZoaEhLBYLmZmZbN26VZrdCpYWmc1BeyqbzcbLL79MSUkJ77zzDlu2bFnpJgmWEZPJxAsvvMDVq1d55513Fp1EXeB4WK1WjEYj4+PjTE1NYTKZpAxF9mQJNzs/LTWdnZ2cPXuWY8eOUV5eDsCmTZs4cuQIWVlZiyo0brVamZ+fZ2pqiqmpKYxGo5SNycnJCRcXF1xdXdFoNHfcf2pqCoPBwNTUFGazGblcLu3j6uoqeWIbjUampqYYHR3FaDQil8uxWq1otVoCAwOl4w8NDS1INWmz2XB2dpbu51KY2QULceiZq2B9IRya1gd2AfL3938s5zMYDPT19dHR0UFTUxO9vb1MTk6iUqnIzs4mPDyc5ORkUlJSpPzI98NudtVqtQ/k1Wz32tXpdIsy16rVary8vO6aDMMu6Hq9/p7tEN7CS4/Di6t4IdYX4nkLlpLJyUmuXbtGaWkpxcXFnD59GrVazd69eykoKCAzM5OIiIjHlipwqd/vxRYeEN/V0uPQ4ipmMgKB4EEZGRmhtraWmpoampub6evrQ61WExAQwN/+7d8SFBREXFwcERERBAYGLvDmFQgWi0OLq2B9IRyaBA+DvUC5yWRiYmKC6upqLl26xOXLl+np6UGhUJCeni4lkBAOPoKlYE2Iq+hsBQLB3ZidnaWpqUnKeWy1WvH19SU9PZ2XX36Z2NhYqUrMUnshC9Yva0JcBesLMZgSPAhGo5Guri7Onz/PiRMniIiIIDIyktzcXHJyckTpNcGysLjV7lWKWHNdX9ift3jmggfBarVKpdhkMhnBwcHExcURHR0thFWwbIiZq8DhEDNXwYPg7OxMUlISL730ErGxsczNzXHt2jVqa2sJCQlh8+bNZGVlSeEsIixFsBQ4tLgKB5f1h+j0BA+Kk5MTcXFxxMbGUlBQwNmzZzlx4gSfffYZrq6uDA4OotVq2bJlC0qlUrxjgiXBocVVsL4QgynBoyCTyfDz8+OJJ54gPj6egwcP0tjYSHt7O7///e+5fPkyL774okhiL1gSHF5cxShzfSGet+BRUCgU+Pr64uvrS1paGvX19Zw+fZoPPviAuro6CgoKhLgKlgSHF1fB+kHMXAVLTUJCApGRkZSXl3PixAkMBsNKN0mwRnBob2E7orMVCAQPi5OTE2q1mrm5Ocxm80o3R7BGcGhxFSZCgUCwFNhsNtRqtehTBEuGQ4srCIFdb4jnLVgO5HI5crlcWMEES4bDi6tg/SDWXAXLhT05idVqXemmCNYIDi2u9g9CdLYCgeBRkMlkYuYqWFIcWvCgqBsAAAJXSURBVFwF6wsxmBIsFyKtpmCpEeIqEAjWPWLNVbDUCHEVCATrHmEVESw1Di+u9rUSwdpGqVQil8vF8xYsC/Z3Sjg0CZYKh+6l7B+Cs7PzCrdEsNzIZDJUKhUKhUI8b8GSo1AoMJlMIomEYMlw6PSHWq2Wqakpjh49SkNDw5KYdlabU8PjbM9yn+t+z+bm899c9sv+nOvq6ujt7eXPf/6zwz3vW9u50u/ZWnqvHpSb26NSqbBYLAwPD5OQkCCVnRMIHhWHFtfAwEAAXn/9dUwm023mQvtHtNgOeLm3f9Rz3I+bBelhOrQH3We5t7cjl8uxWq1MT09js9l47bXXUCrv/Oo+rjatxnu1Htv0qOcxm83I5XJSUlI4ePAgERERD3V+geBWHFZcZTIZ+/btw9/fn8HBQebm5lb9WtytM5e7ietacqx4kMLTt17zzUkjZDIZGo0GuVyO0WjEYrHcdfvFHv9e+yx2hr2Y7e+0z4Nsv1behQfhcV2zxWJBLpeTlJREamoqPj4+j+W8grWPzLYev1yB4D486Gfx/9uxQyMAYhAAggXQf79RqeBPkPldhUDgboY/7W+65ev+nWdm3fuat4krAMR2/1EB4EHiCgAxcQWAmLgCQExcASAmrgAQE1cAiIkrAMTEFQBi4goAMXEFgJi4AkBMXAEgJq4AEBNXAIiJKwDExBUAYuIKADFxBYCYuAJATFwBICauABATVwCIiSsAxMQVAGLiCgAxcQWAmLgCQExcASAmrgAQE1cAiIkrAMTEFQBi4goAMXEFgJi4AkBMXAEgdgAxEADrZv10CAAAAABJRU5ErkJggg==)
physics-General
physics-
The resistance across
in the figure below will be
![](data:image/png;base64,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)
The resistance across
in the figure below will be
![](data:image/png;base64,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)
physics-General
physics-
Five equal resistances, each of resistance
are connected as shown in figure below. A bettery of
volt is connected between
The current flowing in
will be
![](data:image/png;base64,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)
Five equal resistances, each of resistance
are connected as shown in figure below. A bettery of
volt is connected between
The current flowing in
will be
![](data:image/png;base64,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)
physics-General
Maths-
If
, then the period of f(x) is
If
, then the period of f(x) is
Maths-General