Maths-
General
Easy
Question
The period of
is
Hint:
In this question we have to find the period of
. Also, we know if the period of f(x) is T then the period of g(f(x)) is also T, so, we can find the period.
The correct answer is: ![2 pi](data:image/png;base64,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)
Period of sin![ϑ equals 2 straight pi](data:image/png;base64,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)
As we know, if the period of f(x) is T then the period of g(f(x)) is also T.
So, period of sin(sin
) =2![pi](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA0AAAAKCAYAAABv7tTEAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAHZJREFUeNpjYEAFWUD8DYj/48HlaHoYFgKxLBCvAeIAJHEQ34eBALgL1QwD94FYHJ8GFqgTkflfCNliCcT70fh7CWmKBOL5SPxwqF/xgmlAnIjEbwbiKcQEggESvxWIdwOxChBzYdMACuZzaGKmQPwJiBczUAIA0CEatBcOsq8AAABPdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPiYjeDNDMDs8L21pPjwvbWF0aD4fatH3AAAAAElFTkSuQmCC)
Related Questions to study
Maths-
The period of
is
The period of
is
Maths-General
Maths-
Period of tan 4x+sec 4x is
Period of tan 4x+sec 4x is
Maths-General
Maths-
The cotangent function whose period
is
The cotangent function whose period
is
Maths-General
physics-
Thirteen resistances each of resistance R
are connected in the circuit as shown in the figure. The effective resistance between points A and B is
![](data:image/png;base64,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)
Thirteen resistances each of resistance R
are connected in the circuit as shown in the figure. The effective resistance between points A and B is
![](data:image/png;base64,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)
physics-General
physics-
Six resistors, each of value 3
are connected as shown in the figure. A cell of emf 3V is connected across
The effective resistance across
and the current through the arm
will be
![](data:image/png;base64,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)
Six resistors, each of value 3
are connected as shown in the figure. A cell of emf 3V is connected across
The effective resistance across
and the current through the arm
will be
![](data:image/png;base64,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)
physics-General
physics-
In the circuit shown the value of I in ampere is
![](data:image/png;base64,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)
In the circuit shown the value of I in ampere is
![](data:image/png;base64,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)
physics-General
physics-
The given graph shows the variation of velocity with displacement. Which one of the graph given below correctly represents the variation of acceleration with displacement?
![](data:image/png;base64,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)
The given graph shows the variation of velocity with displacement. Which one of the graph given below correctly represents the variation of acceleration with displacement?
![](data:image/png;base64,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)
physics-General
physics-
The displacement-time graphs of two moving particles make angles of
with the
axis. The ratio of their velocities is
![](data:image/png;base64,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)
The displacement-time graphs of two moving particles make angles of
with the
axis. The ratio of their velocities is
![](data:image/png;base64,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)
physics-General
Maths-
The minimum and maximum values of 3x are
The minimum and maximum values of 3x are
Maths-General
Physics-
The graph between the displacement
and
for a particle moving in a straight line is shown in figure. During the interval
and
the acceleration of the particle is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAU8AAADZCAMAAACXW0IqAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf///97m3jo6Or29xWtzc2NjY/f37+/m79bWzkJCQt7W3iEhIXtjELUQWnsQWgAAAIycnIyMjFJaUggZEEpKUqWcnEIZY+Y65koZEOY6rXtjpeYQ5uYQrebWWuZj5uZaWubWEOZaEOZjrRAZQozO5oyczlrv5rUxWrVjpVqt5nsxWlrO5rVjhFqM5rVa77XvY0pr3krvY7XeMUparUreMbUZ77WcMUoZrUqcMbUxlEop3kqtY+aUe+YZe+aUMeYZMbXOY0pK3krOY0oI3kqMY+bepeat7+atpb3v5r1jY5RjY72czjEpMXtze+bWe+aE5uZae+bWMeZaMbWtreaErRAZY4zv5oyc76Wtpb29rcXFznuEe+atxb2c70pjKbUQKRlKKSlKWpTOtXsQKYRrzoTvEBlrjBnvEIQpzoStEBkpjBmtEIQQpUpjCLUQCBlKCAhKWpTOlHsQCIRKzoTOEBlKjBnOEIQIzoSMEBkIjBmMEIQQhKVjOmtjOqVjEOb3hOb3KSnvpSmtpQjvpQitpSnOpSmMpQjOpQiMpXutc72UnLVrzrXvEEprjErvELUpzrWtEEopjEqtELUQpealWuYpWualEOYpEEIQOnutUrVKzrXOEEpKjErOELUIzrWMEEoIjEqMELUQhOaEWuYIWuaEEOYIEL3mtbUxKbWtcynv5imt5hlrKSlrWpTvtXsxKVrvtVqttYRr74TvMRlrrRnvMYQp74StMRkprRmtMYQxpYTvcxlr7xnvcxkp7xmtc7WMcwjv5git5lrOtVqMtYTOcxlK7xnOcxkI7xmMc73mlLUxCLWtUinO5imM5hlrCAhrWpTvlHsxCFrvlFqtlIRK74TOMRlKrRnOMYQI74SMMRkIrRmMMYQxhITvUhlrzhnvUhkpzhmtUrWMUgjO5giM5lrOlFqMlITOUhlKzhnOUhkIzhmMUsVjOoxjOsVjEAgACL3F73uMWntahOb3zikIEEo6GUpra4yMpWtzWt7m99737+b3/0o6Ov/3/wAAAIokbRoAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAARE0lEQVR4Xu2dXXPavBKAkYU+feFItv7UGemKG0W+Of//ijkzLXGDO2dlnIQkxIjUJabRAwXH7fuGbKT9kHZXq0wmk8lkMpmPoEGOV5k5CMSg8TJzETR4z+CdGxMOdwBkSoHH68xleO1AkEzZ9Ys8sahKFaWcuRhJrKcrL5phmA5QVVdVHqCf47eyinEtQKhPBFJVFdwdv8xchLcOG0F+jV+C9nzQfV32u/vx68xFYK2JJi/Kc4X/0z7Y7qHLA/RTICVqgV9mO/M+BNEGbLIG/RTe1u5oKMqAVqF3lOHwIuRMOrjvj2b7ioJsceHQiqIsz8/gxfptMIR/rrPy/CTMaBiMr8Hi3a1MIqET5u1gxLbN8vwkgZCX0GgE9GdeYPok0m9+vTU8WX/OS9af84KL9eN4mflzKBZd1p8zAvY9688ZCdm+z0q27/MyxO+Z2QD7nsfnjIB9z+NzRrJ9nxWa7fu8gH3P8dGMQPyex+eM4KLL+nNGsv85L1mes0KzPOcl2/d5yfZ9XvL+5rzk/c15yf7nvGT7Pi9ZnrOS/c+ZCXn/KI3EjE78PoUxcwST6DDemGQpIsXW5fhoAqrG+kGs/H64mCbnh0xAGQtCB4bg0ZYuaXwWxxn1mVdQbNqydN4oY3SpEuQZ85ey/vwI5puiroXWjdZDseZ5gs3j80OYd9paopxzysskC5/9zykYCq4NSCIpE0ddXv88AwI/iYcQcEgadzA+s32fguLWOUKI7pL0Z57v09B7bRsC5qgnR5WaH5Lj9zPIne08Bu5x0jzO+Z/TSN1jGHap4XvcP8rjcwLkjgvcz5P3j6ahmHRecs4DT1sPyfZ9EqZsbaM9Ekn2COSZ94+moG1hLTytFWnrS9m+T0IDxvAE855o37M8z0EjiSY++59nQVgZmOqMZ/9zDphqCtuHFdYp6595/+gMzGvS9havfPL6fJbnBFKLsG9/gjxtkiOU5TmNFFpSJQLIsx1vTZL15zSI9IEqi+mdSOqilvXnNMzoTonSqT4tjs/772dAqrG2LPrdu1Y2JwH9meP3SaRXrVIqKXrP+jMFxrlESatLUX9m+z4N497cGW984v5Rl/XnFFyJuLpUlsIk+vNZf07A7oTYdetuTVxSk9Tsz08jdeHlL/kon/IWp8nrS2eQmvDxMols36dh3qnAGGLyMcnA5/q4M3BiSavaFsQ63pkEFznenATruixtfKTa9yzPCVDXa4iOlGqPTj2ZIOvPaWRjMWWMUUZT9WcenxMgkpaX/ETODznDpnP3SMYMkVT/M9v3CZi3pSAdWe9czg+ZAeYgdIfwHR45P2QGaPAYHgBOipOyPKdJGZNH3Fj8zrxRaXlE88FgdILqZDJJTrekP/dSiboU5qoCZV5bq0M8CDLFHoVbGp9eVPF8tqMD2/46MT+kK8qw8mX3e7w3xS3FR9TVUZ51e6FS+xMQEZipmG+TVkh4S/vvMp4eCOMzaeLNhOy1XCk75Ick+Uu3s//OTBlH53X1J9KCU1WElbFp+XU3Ex9RL7a1Vua69p3daWeaslWapO0f3Yz+xLqqNI7b4I/YG+CidYpPAz5FYeteaJ/mL93K+hIn26o/WPaNKO1/bUmuc4ogN93aOZeWbhP9z5vQnxJsux1PF3N175RrbHuVEcp+8bi8lFb+fiv681GVVdkePum+Kx/ofsX1NU6ypgj7+G0hjE/6ZrcRb0bTXj99UD6UVK5WprzCR2eeqPhdgur+nfpiBoHR9jn/Mmg9yBOLy7bGPwUiehP9TqYS821uwL7TwbQ/iRNGzGELwhfdy9HWfwspxm/sbZKgID5avP4MpK5eTllHD1oN49LbK4xPqcUmbsYhZdV4a5IbmO/8yLQD0pHhC+auYo+8btydMUToxP2OpcuTDab9RXKSHM4IDzqtQvUPAcVZaC2sTsz3Xrr+ZN6CaT+a2KHX8avQ6esE8gzHYMyHNDEtfn3plWmP3FsdKAvEXrYx/ieAt5sKtu2S4yMahqj9SHMxU5ekI1qk5bfOAILgKCTuv8P4XHR/xWjaX6/HU0+sEEKrK31shBUh8Re4TltfWnT/OunKY9Me2TMe6/sT1dkfwzDR2pZClAcreIZ4Ptdy9ScC0/5jjNpfk+K6zALqRFz/dHdab8ZbkyzZvh9M+5f+uukv3YfH1mJm+rsUQS3YvjMsquqy7kfzIwWRKyUwRLduvDXJcu37e9P+FTClvfSaeJe4f7RY+y67aNq/XBkF57hUwhZp7u5i7bt09dZeIUA/iwTHkxt3x1OG52LP32TKbusvTvWlcWEJ3vcrKtP3O/63RP05mHawBF+K9HfKKOPVnYGHT9r+C3aR49M3RyvIXwXWY6VM7LhWCj/enmSR63UM67rqv9q0rzhEmutu3bnWdfDACasiy8yfP5j2rxYnSGcV7SEEuJz/YmkxGf65PP9TxhXk11H7F8LwXbt2JnFrJRSL2z96NDHMXMin2nOlNYntPxPX5+3S9OciTPsz4Ldp541xINDx1iRLs0cSG11tv9y0PyOb3rM9Yzw13lzW+hJXolyCaX8GaX2YKt66pHzaJeXX/X4cUmYXELU/w9SQWbeXrTbR3J/7RS+qfpNuipjQTZakgTARyuNNV8CbP7vLuSj/k+FDwcFijBHAWvDdIDyqtzFMskd5AKdZTv0RSFMc6jeWtOJFDYnd0onrhvezC15Lse8IK4gxtxYkOmYhLwOKZCTgAK88nO26tgR5MiQx2PWqKokiojFLCtj2Q5khUocs0LN8ef4n3TMOQ7OHcflDg7rnMBDGv1oEyIEguSusSOtv87XnwzIZ7g2JarO22lynvuAyhn6/pnC+E4vu703Zo+TYKxI1JthOYpL2E66O7BsuifArk9g/+W/vH52SUlSYIEptyzpadNuZkHre3bVBTux0A25San/vC8/fDMq1MX0v7Y83D6o1PozgodWBUq7TTR8HZlWXgqhNWqrV14Bdb2O6JBYPSfO9uKB+k0lPYEiVlwD/XIDjNtD3Vli4VW2jKH9YoZ3aSHaFrNjPQ6X3Q76pT1lfuiQ+Ygi7YVCBwhteU9lua3jEF5DicAWxhiZ394GfnOYMPL1FzH/KGN0jxB4ZYjzN70iOj2Bsdof4paoFIbuEJ0QUw3+wtf3hIYRuCHFKGY/xhxJDviM7h7/UjTvAvJf3oOBc3EFSKfmKqfvvIM3WRnX3A8SjfYwVzj4C/4X7KE+rvAdVGnvE4Dgkp/UQN1qI3pK0erS/imxdcHGHM+5zzri/ydD94NeAV9PaUm9SGj8MoLjAURO+ipkBcbHrvErn65JsZDBpx7n8XRC+R+CIqLj9rtLc4xR5jisV1nnJwNG5JJUVk23dJ/1iR5iyTUy0RHgRRv9FhIk59OfX51lQTZy0ZKgLvRC6cW5zgWAo1nYU/9cPzwEqOZiiZGV+Lj6iCFykuFIBY3O8dRGUJSb+HKBqYf1ywUPUQhOVqs3PrM8z3IHirMnggl0BRIolrdatQquFFeCYkMT6h2n/U5oGpNm7a2X/ryRM9wW591JZrTCEdapo/rw+joW23MJUP3YFQZ0k65I422OYyR+THYLQFNcqK0qAekI8ippcKt2l1ct8vL9JMWjOWrxe+JGtuKDyh6mmh8mStnQY4c2TOVoC0gk/DgWm0rYNcPHR+JSmiHbojSL2thLp8gy6brpdn96Bius6bnnRsITwKJbePo8EL87uxQH0o/UlGhSYdftmLO4lRElN+ozERR+YbEuS8FEGmLEQTWHTXrfp3wcELZ6F421qfcepn5V5AoboXY0yUpqIJtkCU287eDPl+vB1AkhBfFcUahFr9ZzYwBhDiKG9seuUj3Q6v455sOuWvDPrnBDcNclVAsyIFkTkhBlvJIBM50i7DKMkSdl6o0xczNVlWn+GnyfWP5G3223/fkcPrJyREFmnzkWpCuK90+0l3itj9DHxMKy/zaPpY7Ii0TuYljrRHr33P2FYVdWpfgT3sVgMd8mF53w99HIWSZWPC4TyoXOyNxt4SQubT5zfAU5sVZ3qfidVA85McF2qPLFuOtUS/bAE4/JZosP0e3hN4f36ElgEsESnMgZ9YzvjW5Fs4P0QjEtXXKA/b5x38RF4N7EK9YQ4JanLorBlnepys0OPHU6KJFX+T/A2Poq1APXJol7mtXZGKdWnWTpQP22p9hR8hQs81lvnzfpSHJ1xPf094Pn3G7ZnlK7rpJO74X+maw2/AJ3YOvNf4M3+ZmyI8Ko5zwsUlOFBLL5PibwA6WLKpCX3qf7qP8Cr/c1DG8PTxngv70ctIANPW1JjfNiHC4veX5+ZY/vOfFFtr9AT7l/mSJ5Df4mh91bmsxzlf9KhjSFOXvrNnOIl/3Mh/SVuDRpiRPq8uf28vxnDoms0gPzHYLjri6J49tifzkeIpv0a/Yj/MeJ28tq5xpJxV+ipv40XCypCvRmYF8MOE9ZPrWPAHsEFDUvoL3F7BCJMNODgaR6K+kb7Hrvl95u0KDLzDFPj2joEj7vD5B7iI+qX1BDhdkBEH7IvmO/HotOhv2LQVb38Nt9nQHg4eYZhfzW9FXR/kNqj0mNZB/653rM4229+SY07Hddlvb4oP/KPGFs5R9+9GVMMsGgRttWP23fkWVc6+MlIeb2Z5u3oEsF0H9MIcaFC99Ea3W1h7I4jVV6xvyEWzSA3SZ6a/dNQECWqJSVhJXNoLvcCd70z4nC2x3XgWsR5LduXkxpCb/u6vsU4cy/fVLDsvaht2qlkM8FAWe+cI7p7XuPlRUzwvEljRPGbGgGpq/K6doAZYXt7nHEYbFUtKUXwEpAnzr9IlGJRiSvbgXgYrz8uLOAgT40ZQkg+PW7liVDorN0ZPurR0Iryer7SB4SfMD61c51bD00Eb+cRn0OLjO6QoipbrdzbBMur87gWRdEXVsRHAdfx5fBY9MXwaQVMrqoWQyNzZrQL8eiurzWtVPLAAw7wHF6G9+H66XKZF8MV7sptrDKLP4ePnhJr8xru56GbtXaHSh6KdQERH8VW3Hzg/FXQoA5jM157MiTxIdUuIrP5FkH4qMaThcM8B7M/vGcu5rJKxkyGcc5jqwEOLjY61zcAoAzlIfYxNOxEExHah4fufCiN1WdqwL8PoSPaVmUTvRjfnm8yq4rEzMdvCoW5rmrNYa4zDgb3EaJsMMJ0xe/xYDz2HN8/VxKiQGod/zYzwViXx4wLdNMp1RcOh9aKeFg7DaQomrGuiWJSb0uduq1K999S8GzsS4Z06VemtruuKZqO7IQFMYau10SLcfU6kB+lWKcWL4KB+44Cpabs4lq1BHn+NnVpGNd1v2H3VkuqbCsZ1mPRbixwwCz1rFAGMfs31A3U2KGY+JHYDTM25vC4Gu7QpsfIxZVrScajOWDCnzy78AOY79oF9GS6MuyuHBJKQWqYqriDS4k1+9WjFp7vSk26nR2zTJEiF1VlI9M07e3va18G9YfxiUjp92bQpet4sgDTvQ+ktEL0PTl4UrH7wTvp7GP/vQ9QRVX37uApfBcY6M/488L4vGd3sbko6+LmtNQWBxipIYSno8O4PpXRh4weqmxeU9i+6If2efVVdzC/mj3oz93T+Fwp26HVfl0O4xO0Zgt/Iod/G4Q+sbbGsGlb9e7ROniKbVU3in+n8UnvovWJ4zHKswZdSkkdx6co8WqjSSzOH61KEOWpLoqUAbFT5NGTsT3dgz9gtRvX5b4LzPdDphla93hvRLx2/QOMz9iDmHph/2vt7iAS1FqbXPoNBEfUN5MmIMcdcXwvVxzH6xAXPSiOQ/G3N+pBPdUfcm+GFMMkaDAq/V9nzjEsCGTm48mMZTKZTCaTyWSuzmr1f6JXGSWJAghaAAAAAElFTkSuQmCC)
, ![C D](data:image/png;base64,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)
The graph between the displacement
and
for a particle moving in a straight line is shown in figure. During the interval
and
the acceleration of the particle is
![](data:image/png;base64,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)
, ![C D](data:image/png;base64,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)
Physics-General
Maths-
Extreme Values:The range of ![f left parenthesis x right parenthesis equals negative 3 cos space square root of 3 plus x plus x squared end root](data:image/png;base64,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)
Extreme Values:The range of ![f left parenthesis x right parenthesis equals negative 3 cos space square root of 3 plus x plus x squared end root](data:image/png;base64,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)
Maths-General
physics-
What is the equivalent resistance between
in the given circuit?
![](data:image/png;base64,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)
What is the equivalent resistance between
in the given circuit?
![](data:image/png;base64,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)
physics-General
physics-
The current in the 1
resistor shown in the circuit is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPwAAADjCAMAAACW9YkbAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAALfUExURf////v7++fn5/Ly8uXl5YyMjLm5ufT09Pz8/PX19fDw8LKyskVFRWZmZsHBwf39/dPT04eHh46OjtjY2NTU1JKSkt7e3tXV1YGBgU1NTTo6OoqKiu/v76Kioi0tLaioqDg4OLS0tPb29q+vr1RUVI+Pj1FRUWpqaujo6P7+/sXFxXp6ekpKSikpKYKCguDg4IiIiCsrK9nZ2fPz84uLiz4+PsnJyY2Njba2tvf395aWlmVlZZWVlX5+fmlpaaCgoLq6unJycmRkZIWFhWdnZ8rKynh4eMDAwIODg9LS0nBwcN3d3VtbW7Ozs8PDw+7u7mBgYGJiYmNjY2hoaGtra2xsbG1tbW5ubm9vb4SEhM7OzpSUlOzs7NHR0ZeXl56envj4+Pn5+Xl5eVZWVru7u9zc3FdXV3V1de3t7ebm5nR0dHFxccLCwl9fX2FhYZGRkczMzK6uriwsLD09PUdHR0ZGRkhISElJSUtLS0xMTKamptbW1qSkpHd3d9fX17y8vOHh4aysrLGxsbe3t0RERE5OTkFBQZubm/Hx8evr6+rq6unp6eTk5OPj4/r6+sbGxllZWZ2dnZCQkEJCQlxcXNvb25mZmXt7e15eXjY2NpycnKmpqaOjo5qamlJSUq2traqqqri4uMjIyMTExNra2pOTk9/f3zs7O4CAgFNTUz8/P729vQ4ODr6+viAgIImJiTk5OaGhoc3NzS4uLtDQ0JiYmMvLy3x8fHZ2dh4eHrW1tVpaWi8vLwYGBjw8PCoqKiUlJbCwsE9PT1BQUFVVVeLi4r+/vzExMTU1NTc3N8fHx0BAQBQUFBUVFaenp6urqxcXF319fTQ0NJ+fnxgYGM/PzzAwMDIyMjMzM39/f0NDQxkZGaWlpV1dXScnJ3NzcxoaGhYWFh0dHSQkJCEhISYmJoaGhlhYWCgoKBERESIiIhsbGx8fHwUFBQgICAkJCQcHBxISEiMjIw8PDwAAAJkzB80AAAD1dFJOU/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////8Awu13zwAAAAlwSFlzAAAXEQAAFxEByibzPwAACqlJREFUeF7tnd156ygQht0AvdAHF9MEBdAAd9TANcVQBC1Iz5MedmZAspKc3WNkYWvlefVj5CRI8DGAkJjcBEEQBEEQBEH4KwAt8IGAti2EbPPhA/IEUlBr6p3WpgVvZhO+KkaHolsYUplTC99SCWv4qqQQs2ol3PkwL3KDnvPVpYdYnM62pl6riCsHb9YrrS4uvfMKrNeceKe8cTlzGLyyNtfvT4XRKq9LW/vxuGlHSoMOjuKNpLqvxcCgLVAGYBBSO9W3E+46Z4NOjRutms/cQZrDw+S2tmWz0vfKJbLrFCjBJnsMW5SfEpwxU5LCqhAs/mI/P068LJsgL2GpbB8lza41wriHZaG17mp4+eaPmPZZo3EeE8zpxfhiQLmN8igJKLQBpyk3iH8552bbrv9BOzt+mGZljxPng2thE7Mli+ciaHM0N1u43sMqDyJuFB5DVi3wKBGVPxZMMHZ2at2OOYEpJvmpSGSsEQ/O6m9Q2eoilqMvB8t99KplKeZEVLWJx4YQWzz+dgxwAuWxaguodzvAxmRp+R1Wipuu//GcQHlM5LReBVbv09LnM7oMbevPoDyp3Xp2CNVxLXgzdqTF71H+6NoeMW5zEW57MJR+5amdvwqnUP5NoPKdiRflr4HYfBcfbfMD2vlfdF7SblR34o/v4YGL9y484F2s1yPv5VZOoTzEac1RsJ7HOqJ5QfJ39O2PTjzY8BXaVWA4J2NiKC/Qvr+2P155vKUtZUm8nuleBj+G3sg3dih/8FUZ7VNelHe5jmrYcngB+w10V3hHt/No5MnmRXkb6liuy/PQO3mGRwm7OLqdd1oD6gzA14EmX4ewcnlF4t9c24NXDhIW8tgSXRNvVS0BY3lzbY+1+5xzmaZQbd34wp/pFY/q3t63d1opFeZJtacnqT611S95SPv+2h4VwGJfrwIA2z3MBeOVGd/LebvNM2vibbSJxvOij9gI8FcD2VHbH9/Dc+prilyerCrz5G+3MM0lH5/JP3h/O4+YqHztzULCGgAVj0r5mh1DeXs7/0ZOofy7eH8P7418tPJi812IzV8Dsfkuju/hvQ1RvouPVv5CiZd2vovPbueltr8GonwPovw1EOW7EOWvgbTzXYjNX4N+5S+UeFG+C1H+Gny08tLOdyE2fw1E+S5E+YfojPgNDFMe7OlLyDjlyR3AEjXYtD7pMJvw84DjyHa+sThKeRPvHinAhuoOgFjeqz4GUx0ubObodDBMeaN8WPIVM2JeXF/c4rS6AjoAU99T1r0SVgYpT34gfG7l3iqffZUbnA+qhY/A1cT7ZaZGF/3Kp8cSr7Oz5Aalhq1dzhNVtNnvudQ/YqpvEZ/5qJd+5edobeKlrbz9IHptKAPoL1B4AJ+5TsLMNrjV/DNLRN+iW2Kk7c841wJ4nkX5b7/9K07efhO6lf+a57l8X+4fjZCVhZvl+WHg6W3aVL2AoOocpu9NyhjVPbIlUFeK6360JXi1hEKZqs1Pyzd46sBx1riWZRu4szqoeBRW/gc1XzmT6+Ic6ex4BoHjUm7YC5TRZO/GY3Ezydu7ghsWkVg42mhNeNQix9ixyDRi9SL3Q/lf1J8uca1R9Sv/+GQDiDmtDjFsiJjiQPrz97Y5hHkOF6o/oVfV9h1D1+T+x7XZMoYcfcU2a857R36RnsfVCKko9TOqtq8AtmrN3RFLX+eQkPQhduf6H2m1/bna+QpEcr/WSjfmhF98ATmsEfmqn6Upvy/xO5TveWJj1MQO35ikyjJZzuhyzFxZqJ503D4TGqo8SlLWzAXjw+rwyG1dvr6LfuX7Eu/SJpF4P9d5ssEMVv77iMa5kj7a5k/OaOXPzGibPzfDlf8WPc2S7zzfv7CNaBNjV+Rje3gYf9q68zNahezXhn8/5DxxHQ4zavWXaPGOuQUfYazyToewXg1Y8rebw/MOTfEWMftcal+ZHCkuQ3h+zh2JH1rb4x27mu5vqBtVosELn5+eIpzIswbEuY4IYaCNjkCnh5m+coJ0KG/wvjnf3f/gJVPYlTr6sh/MRSrnZrltcM0fPKTSI/xgmzfYpb0nXhdWCnxTbDeu5egyWo8xcirAF89fPMrg2h5FWhOvqkcI0HPfJf7CZkXVxzoajorXMtX5SGB0O79Vvt3XYAno9dPxg5SDz6HMq5NyzFe0dUjsXamDkTaPbJXXgRXHTHjuVh4rD3rugfm6mg/fIeMXXcIPtvlviacHVXSuTbO8E1SersHk1U+yzdgG2bD4jH6U1ymP4cBjuk+7MU71qQf4vDQboKdodIl9Ee+x+R7dsAJueQUOu2V4deTR+JuT336wwuPE6zXxN1tU8venoQ/SrXzXAKZB84yGz2BijOSw3WYf27+x2AsWoVrs1ZqJxofAj0J6GFrb01PJaSrVqyHEMk/4t3GaZxrCf4ZE1o3FfG3ssOs8f91HCx9lqM0DPWpJif8AjI0JL88k/Og8509MxBukskk7fhW+enssw2v7QWD1kbHQtyMmNVc7PQyu7U/N6Nr+3Kiu+yDkFMX+GIbW9qen+/nmhyt/IZsf2cM7OZ9u89LOP86Fir308LpI16nt6c3IFnwQsfmLIDbfw4VsXpTvQmz+GojNdyE2fxFE+R7E5q/BZ9u83NX1cCWbF+V7uJDNy0hOF5ey+d52/krFvruTIz28a/DZPTxRvoeP7uEdW+zbPyV9D+9WHvTmtcltTrwkV95r87B9Tdz5uyMJp49wKvEX9rTzBybe6FDnniCQSvX+QaRSDph+9ze6e3iHKp+yXj2WWM8TKBjQM7sWGcubbV4Xp8mjDhFVbI5VMCOU0uRdZzB7a3u64D9tm91fAecV2PqaPDjljcv1rUDwytq8vD7PPx6w7VDeFuW917QsxIgrkniXcK2wJ56Go6VhaEFIbFicSGGYpOBiYDI5lGL/Ycbi2f4b/Xujy7t/3jdaN59r/j6K8zmEHDLCu6x442XF00Jro11Hyywk4pZMIruOPEmgTo+0vIeUI71VjlUhFoxA1HPW3WbZBLfLsvt9gB8crrs2GbcDMECysXxNysXNE2vN1FJARaImlrOa4DxpWWS49DlylUTpxQPg9zsNi27onWijvcMmn875fWkrb31goeOSh7vn+xI8kR13NKP9B3SZvK9sL5TOX//eRCz3KDyrYHM0tzQ3zz8W2BiuDHnNSqHOkyDfedCcKmF1SCsFr4tROvo2rRy7fLF5jyMb0GT3lwbL9n1uJGisUFtPwobwgsb+vYDL0/rWP9hc54MjRj89+fL8oKHfJ9qR/7zlwNRZadcG+z0thLjn5poKgiAIJwX7/y3EYbofaEfXhzwqtCAfkLvkTdN3bVz+Wh3n4J0M3vGGTafn2phY1sSTvyss9XF+xdjtCYCY9bzcu9nMw6OQ7y5wLo3VOq0urWKo46mx7PLW/3/DaO3S6ixr8QX8GYmH5C0Z+q3ezehQE9+8x10bsEE752dl6xBeaomP4QNsHuJE/2zga2reEV31JkWOnz4g8S5GrcMUyIMOHeuZanvTCsAnQDZPYMe2DuLTI6wPGdIwfqoWDvTYK1saxI+6/2nK/xGs9LDY11Au85xuDvdh6/vpwpgY20ClSVEnww7U4kcILwiCIAiCIAiCIAiCIAiCIAiCIAiCIAgbbrd/APaRgZVOrCZpAAAAAElFTkSuQmCC)
The current in the 1
resistor shown in the circuit is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPwAAADjCAMAAACW9YkbAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAALfUExURf////v7++fn5/Ly8uXl5YyMjLm5ufT09Pz8/PX19fDw8LKyskVFRWZmZsHBwf39/dPT04eHh46OjtjY2NTU1JKSkt7e3tXV1YGBgU1NTTo6OoqKiu/v76Kioi0tLaioqDg4OLS0tPb29q+vr1RUVI+Pj1FRUWpqaujo6P7+/sXFxXp6ekpKSikpKYKCguDg4IiIiCsrK9nZ2fPz84uLiz4+PsnJyY2Njba2tvf395aWlmVlZZWVlX5+fmlpaaCgoLq6unJycmRkZIWFhWdnZ8rKynh4eMDAwIODg9LS0nBwcN3d3VtbW7Ozs8PDw+7u7mBgYGJiYmNjY2hoaGtra2xsbG1tbW5ubm9vb4SEhM7OzpSUlOzs7NHR0ZeXl56envj4+Pn5+Xl5eVZWVru7u9zc3FdXV3V1de3t7ebm5nR0dHFxccLCwl9fX2FhYZGRkczMzK6uriwsLD09PUdHR0ZGRkhISElJSUtLS0xMTKamptbW1qSkpHd3d9fX17y8vOHh4aysrLGxsbe3t0RERE5OTkFBQZubm/Hx8evr6+rq6unp6eTk5OPj4/r6+sbGxllZWZ2dnZCQkEJCQlxcXNvb25mZmXt7e15eXjY2NpycnKmpqaOjo5qamlJSUq2traqqqri4uMjIyMTExNra2pOTk9/f3zs7O4CAgFNTUz8/P729vQ4ODr6+viAgIImJiTk5OaGhoc3NzS4uLtDQ0JiYmMvLy3x8fHZ2dh4eHrW1tVpaWi8vLwYGBjw8PCoqKiUlJbCwsE9PT1BQUFVVVeLi4r+/vzExMTU1NTc3N8fHx0BAQBQUFBUVFaenp6urqxcXF319fTQ0NJ+fnxgYGM/PzzAwMDIyMjMzM39/f0NDQxkZGaWlpV1dXScnJ3NzcxoaGhYWFh0dHSQkJCEhISYmJoaGhlhYWCgoKBERESIiIhsbGx8fHwUFBQgICAkJCQcHBxISEiMjIw8PDwAAAJkzB80AAAD1dFJOU/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////8Awu13zwAAAAlwSFlzAAAXEQAAFxEByibzPwAACqlJREFUeF7tnd156ygQht0AvdAHF9MEBdAAd9TANcVQBC1Iz5MedmZAspKc3WNkYWvlefVj5CRI8DGAkJjcBEEQBEEQBEH4KwAt8IGAti2EbPPhA/IEUlBr6p3WpgVvZhO+KkaHolsYUplTC99SCWv4qqQQs2ol3PkwL3KDnvPVpYdYnM62pl6riCsHb9YrrS4uvfMKrNeceKe8cTlzGLyyNtfvT4XRKq9LW/vxuGlHSoMOjuKNpLqvxcCgLVAGYBBSO9W3E+46Z4NOjRutms/cQZrDw+S2tmWz0vfKJbLrFCjBJnsMW5SfEpwxU5LCqhAs/mI/P068LJsgL2GpbB8lza41wriHZaG17mp4+eaPmPZZo3EeE8zpxfhiQLmN8igJKLQBpyk3iH8552bbrv9BOzt+mGZljxPng2thE7Mli+ciaHM0N1u43sMqDyJuFB5DVi3wKBGVPxZMMHZ2at2OOYEpJvmpSGSsEQ/O6m9Q2eoilqMvB8t99KplKeZEVLWJx4YQWzz+dgxwAuWxaguodzvAxmRp+R1Wipuu//GcQHlM5LReBVbv09LnM7oMbevPoDyp3Xp2CNVxLXgzdqTF71H+6NoeMW5zEW57MJR+5amdvwqnUP5NoPKdiRflr4HYfBcfbfMD2vlfdF7SblR34o/v4YGL9y484F2s1yPv5VZOoTzEac1RsJ7HOqJ5QfJ39O2PTjzY8BXaVWA4J2NiKC/Qvr+2P155vKUtZUm8nuleBj+G3sg3dih/8FUZ7VNelHe5jmrYcngB+w10V3hHt/No5MnmRXkb6liuy/PQO3mGRwm7OLqdd1oD6gzA14EmX4ewcnlF4t9c24NXDhIW8tgSXRNvVS0BY3lzbY+1+5xzmaZQbd34wp/pFY/q3t63d1opFeZJtacnqT611S95SPv+2h4VwGJfrwIA2z3MBeOVGd/LebvNM2vibbSJxvOij9gI8FcD2VHbH9/Dc+prilyerCrz5G+3MM0lH5/JP3h/O4+YqHztzULCGgAVj0r5mh1DeXs7/0ZOofy7eH8P7418tPJi812IzV8Dsfkuju/hvQ1RvouPVv5CiZd2vovPbueltr8GonwPovw1EOW7EOWvgbTzXYjNX4N+5S+UeFG+C1H+Gny08tLOdyE2fw1E+S5E+YfojPgNDFMe7OlLyDjlyR3AEjXYtD7pMJvw84DjyHa+sThKeRPvHinAhuoOgFjeqz4GUx0ubObodDBMeaN8WPIVM2JeXF/c4rS6AjoAU99T1r0SVgYpT34gfG7l3iqffZUbnA+qhY/A1cT7ZaZGF/3Kp8cSr7Oz5Aalhq1dzhNVtNnvudQ/YqpvEZ/5qJd+5edobeKlrbz9IHptKAPoL1B4AJ+5TsLMNrjV/DNLRN+iW2Kk7c841wJ4nkX5b7/9K07efhO6lf+a57l8X+4fjZCVhZvl+WHg6W3aVL2AoOocpu9NyhjVPbIlUFeK6360JXi1hEKZqs1Pyzd46sBx1riWZRu4szqoeBRW/gc1XzmT6+Ic6ex4BoHjUm7YC5TRZO/GY3Ezydu7ghsWkVg42mhNeNQix9ixyDRi9SL3Q/lf1J8uca1R9Sv/+GQDiDmtDjFsiJjiQPrz97Y5hHkOF6o/oVfV9h1D1+T+x7XZMoYcfcU2a857R36RnsfVCKko9TOqtq8AtmrN3RFLX+eQkPQhduf6H2m1/bna+QpEcr/WSjfmhF98ATmsEfmqn6Upvy/xO5TveWJj1MQO35ikyjJZzuhyzFxZqJ503D4TGqo8SlLWzAXjw+rwyG1dvr6LfuX7Eu/SJpF4P9d5ssEMVv77iMa5kj7a5k/OaOXPzGibPzfDlf8WPc2S7zzfv7CNaBNjV+Rje3gYf9q68zNahezXhn8/5DxxHQ4zavWXaPGOuQUfYazyToewXg1Y8rebw/MOTfEWMftcal+ZHCkuQ3h+zh2JH1rb4x27mu5vqBtVosELn5+eIpzIswbEuY4IYaCNjkCnh5m+coJ0KG/wvjnf3f/gJVPYlTr6sh/MRSrnZrltcM0fPKTSI/xgmzfYpb0nXhdWCnxTbDeu5egyWo8xcirAF89fPMrg2h5FWhOvqkcI0HPfJf7CZkXVxzoajorXMtX5SGB0O79Vvt3XYAno9dPxg5SDz6HMq5NyzFe0dUjsXamDkTaPbJXXgRXHTHjuVh4rD3rugfm6mg/fIeMXXcIPtvlviacHVXSuTbO8E1SersHk1U+yzdgG2bD4jH6U1ymP4cBjuk+7MU71qQf4vDQboKdodIl9Ee+x+R7dsAJueQUOu2V4deTR+JuT336wwuPE6zXxN1tU8venoQ/SrXzXAKZB84yGz2BijOSw3WYf27+x2AsWoVrs1ZqJxofAj0J6GFrb01PJaSrVqyHEMk/4t3GaZxrCf4ZE1o3FfG3ssOs8f91HCx9lqM0DPWpJif8AjI0JL88k/Og8509MxBukskk7fhW+enssw2v7QWD1kbHQtyMmNVc7PQyu7U/N6Nr+3Kiu+yDkFMX+GIbW9qen+/nmhyt/IZsf2cM7OZ9u89LOP86Fir308LpI16nt6c3IFnwQsfmLIDbfw4VsXpTvQmz+GojNdyE2fxFE+R7E5q/BZ9u83NX1cCWbF+V7uJDNy0hOF5ey+d52/krFvruTIz28a/DZPTxRvoeP7uEdW+zbPyV9D+9WHvTmtcltTrwkV95r87B9Tdz5uyMJp49wKvEX9rTzBybe6FDnniCQSvX+QaRSDph+9ze6e3iHKp+yXj2WWM8TKBjQM7sWGcubbV4Xp8mjDhFVbI5VMCOU0uRdZzB7a3u64D9tm91fAecV2PqaPDjljcv1rUDwytq8vD7PPx6w7VDeFuW917QsxIgrkniXcK2wJ56Go6VhaEFIbFicSGGYpOBiYDI5lGL/Ycbi2f4b/Xujy7t/3jdaN59r/j6K8zmEHDLCu6x442XF00Jro11Hyywk4pZMIruOPEmgTo+0vIeUI71VjlUhFoxA1HPW3WbZBLfLsvt9gB8crrs2GbcDMECysXxNysXNE2vN1FJARaImlrOa4DxpWWS49DlylUTpxQPg9zsNi27onWijvcMmn875fWkrb31goeOSh7vn+xI8kR13NKP9B3SZvK9sL5TOX//eRCz3KDyrYHM0tzQ3zz8W2BiuDHnNSqHOkyDfedCcKmF1SCsFr4tROvo2rRy7fLF5jyMb0GT3lwbL9n1uJGisUFtPwobwgsb+vYDL0/rWP9hc54MjRj89+fL8oKHfJ9qR/7zlwNRZadcG+z0thLjn5poKgiAIJwX7/y3EYbofaEfXhzwqtCAfkLvkTdN3bVz+Wh3n4J0M3vGGTafn2phY1sSTvyss9XF+xdjtCYCY9bzcu9nMw6OQ7y5wLo3VOq0urWKo46mx7PLW/3/DaO3S6ixr8QX8GYmH5C0Z+q3ezehQE9+8x10bsEE752dl6xBeaomP4QNsHuJE/2zga2reEV31JkWOnz4g8S5GrcMUyIMOHeuZanvTCsAnQDZPYMe2DuLTI6wPGdIwfqoWDvTYK1saxI+6/2nK/xGs9LDY11Au85xuDvdh6/vpwpgY20ClSVEnww7U4kcILwiCIAiCIAiCIAiCIAiCIAiCIAiCIAgbbrd/APaRgZVOrCZpAAAAAElFTkSuQmCC)
physics-General
physics-
The current in the 1
resistor shown in the circuit is
![](data:image/png;base64,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)
The current in the 1
resistor shown in the circuit is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAUgAAAEPCAYAAAAgSV3nAAAgAElEQVR4nO3dZ3Bc13338e82YBcdWBC9EL2zgCAJkmATiySqWHZGlm1NpFj2aOKRE9sZx8mLTMaeZCaZ+EkmieO4SIkyiaOxotiyRKpQIkUSAAEQlWhE770QHdhd7O7d54UGG4LEohEgscT/M8MhuXvPrbu/Pfecc+9VORwOB0IIIe6hftgrIIQQW5UEpBBCuCABKYQQLkhACiGECxKQQgjhggTkNiADFYRYHwnIbUClUjE3N8fQ0BBzc3MPe3WEcBsSkNtEU1MTb731FvX19Wsq56r2uZpaqdRchbvTPuwVEJvL4XAwOztLZWUlH374IWazGQ8PD1JSUtDr9SuWV6lUTE9PU1FRwfz8PEajkYSEBAICAlZV1m63093dzcDAAFNTUyQkJJCUlLQRmybEppOAfMTNzc1RW1tLdXU1DQ0NWK1WtFot4eHhqwpIgJ6eHn7xi18wOjpKZmYmL730Env37l1VWYvFQkFBAVeuXKGnp4cXXnhBAlK4DTnFfsTNzMxQVlbG3Nwce/bsYXBwkPz8fCwWy4plFUVhYmKCxsZGurq6KC4u5r333qO1tXXVy1epVJSXl3P58mUaGxtpbW2lt7cXm812P5slxAMhAfmIGx8fp7i4GLvdzpNPPom/vz9dXV2MjIysWFZRFG7evEldXR1+fn7o9XpGR0fp6OhgeHgYu92+4jxu375NV1cX4+Pj+Pv7MzExQUVFBWNjYxuxeUJsKgnIR9zQ0JCzxnju3DmOHj1KYGAgtbW1dHR0LNuR4nA4yM/Pp7a2lmPHjvHSSy/x+OOPMzAwwOXLl5mdnV122b29vZSWlqJWq8nOzubcuXN4enpy5coVhoaGNnpThdhwGxqQ0mu5dTgcDkZGRujq6kKn0xEWFkZcXBzZ2dnExsZSX1+/Yo92X18f9fX1TE5OcvDgQZ5//nnOnDlDd3c3H330ERMTE8uWb2pqoqSkhKCgIB577DHOnTuHl5cXxcXFdHd3b+TmCrEpNjQgVSrVRs5O3Ae73U5lZSUtLS0cPHiQXbt2AZCWlkZGRgbNzc3U1dWhKMqS5fv7+6mqquL27dv4+fmRlZXFoUOHOHbsGMPDw+Tn5zM4OLjsOjQ1NVFZWUlsbCxPPvkkx48fx8/Pj5aWFtra2piamnK5fCG2gg3vxR4eHubSpUvU1dUxMDCAw+FAo9HcM51KpcLhcLgM1btfX034rrXMapf9IJax8P/72Sc2mw2Hw8HTTz/NwYMHKSgooLKykkOHDpGSkgJARkYGQ0NDvPXWW3h7ezMzM4O/v/89y2poaODKlSuEhoayZ88efH19AYiMjCQrKwur1Up1dTVBQUEkJibeU35iYoLW1lb6+vpITk5m3759qNVqYmJiyMzMpK+vj4qKCnJzczEYDIu2oba2ltLSUsrKyrBYLOh0umX3yZ1nLktNt57jvJHz2KrLX+79O19by2dyudcVRUGlUjk/A/v37ycwMHDZdXvYNjwg+/v7+Y//+A/Ky8sxm80AqNX3VlSXC8jVhNBqDsxKX6qNWPZa12Op5a52+1YqNz8/j6IoREdHs3fvXubm5tBqtezatYudO3cC4OHhQUJCAoqiMDQ0RE9PDwaDAQ8Pj0XzunXrFhUVFTzxxBMcO3bMeQy9vb05duwYKpWK0tJSDAYDCQkJi9ZlamqKhoYGRkZGMBgMxMXFOX8kk5KSOHXqFG1tbeTn57Nr165FATk6OkpBQQEXLlyguLjYOW5zuX2ynoBcy4/geue9sF4bsfyNWqcFa123jVj+QkAGBQVx4MABYmNjt19ATkxMUF1dzaFDh/jBD36ARqPBbDbfExJ3WqntcqnpVzu/u79A97PM5ea51vnd+frdX6j1zlNRFBRFIS0tjcDAQL71rW8xNzdHVFQUfn5+zum8vb3Jzc1lenqa0tJS9Hq9sxZosVjo7u6mubmZyclJMjMzOXDggHMdVSoVhw4dYnp6mr//+79Ho9Hwta99bdHxGB4epqCgAJ1Ox7FjxxZ9CZKTk5mdneXy5ct0dnbyyiuvYDQagc97vGtqaigqKiIuLo4//dM/xWAwOIckrXTcV7vfViq7lmW4OnZrWZeHvZzVfF/WsgxX03t6emKz2fjZz37GpUuXePnll51nNlvVhgfk/Pw8Y2NjxMTEcPz48Y2evVjG3R90VwOyDQYDubm5VFVVUVRURGxsrDMgx8bGuH79OuPj48THx7Nz5857asOxsbGkpqai0WgYHBykubmZ+Ph4Z02vr6+Pzz77jNjYWE6cOEFQUJCzfGBgIKmpqfj4+NDX10d7eztRUVGoVCpaW1uprKxkfn6etLQ0zpw5sxm7STxk//M//0Nvby8mk+lhr8qKNnyYj1qtxsPDA6vVutGzFqu0UpuTwWAgJyeHoKAgSktLF/UoDwwMcPHiRbRaLU8//TQ7duxYch7R0dGcOHECHx8fLl68SHt7u/O9rq4uCgsL0el05OXlOWuICwIDAzlw4ADx8fGUlpZSV1cHQE1NDVVVVaSlpZGWliajIh5ROp0ODw+PJZvetppNW0P5cD94KpVqVY32np6epKamEhkZyezsLAMDA0xOTmKxWGhra6OhoQGj0cipU6cICQlZch5BQUGcOnUKX19fzp8/T2dnJwDd3d309fURHh5OXFwcwcHB96yTp6cn+/fvJzk5mRs3blBaWsrU1BR1dXW0tbWRnZ1NTk7O/e8QsSW502iXrR/hYsOpVCo8PT2Jjo5mx44djI+PU1lZSVlZGW1tbdjtdmJiYkhISLin82aBl5cXhw8fJjQ0lJqaGnp6ejCZTOTn5zMwMMDRo0dJT093uQ579uwhLS2NtrY2ysrKaGpqore3F7vdTmZmJkaj0a2+SGL1Ftp53aEStSk3q5APtnsICwvjwIED2O128vPzmZ6eZnZ2lqNHj5KWlrZsWa1WS1hYGKmpqSQkJDA4OMjHH3/MhQsXUBSFM2fOkJCQsGRZtVpNZGQkKSkp+Pn5UVdXx9tvv41Op+Po0aPOIUXi0eRO+SA1yG0sNDSUvLw8LBYLly9f5tKlS0xOTnL69Olla393Sk5OJi8vj8HBQd59910qKytxOBxkZ2cTFRW1bNnIyEjS0tKYnZ3l0qVLztN6b2/vjdg8sYWttjnoYZOA3MbCw8PJzc1lbm6OgoIC6urq0Gg05OXlrRhuC2JjYzl79iwjIyNcuHCBqakpIiIiSEpKwsvLa9myPj4+nDhxgsjISLq6uoiMjCQvLw8fH5+N2Dwh7pvcD3IbU6vVREREkJycTGZmJjt27GDfvn0EBweveh5BQUFkZWWRkJBAW1sbiYmJ5OTkrOo02dvbm5ycHKxWK5mZmRw9evSeHm8hHiYJyG1Oq9Vy5MgRfH19CQsLIzk5GUVRVj0EQ6VSERYWxvHjxwkODiYlJYXU1NRlL09b4OnpSWJi4pKXKgqxFUhACjIyMoiOjsbLywtvb+8lr51fSXZ2NomJifj7++Pj4+MW7UtCrEQCUmA0Gu/71DYkJMTlmEkh7uZwONximI900gghhAsSkEKIB85dmmA2PCDdZXyTEEKsRGqQQogHyp0qUBKQQogHyh06ZxZIQAohhAsSkGJJ7vQrL8RmkYAUS3KndiIhNosMFBcMDg5y69YtCgsLCQ8P56WXXsLT03NN82hoaKCqqoqWlhZGR0dRFAV/f3927tzJ/v37SUxMlNuYCbcjASmor6/n7bff5vXXX+fgwYN8+ctfXnVAWiwW+vv7uXbtGp9++inV1dX09/djs9nw8/MjJSWF4eFhTpw4wd69e+VWZmLFB5BtJXLD3G1udHSUy5cv87//+7/A58+rWcvxKygo4M0332RqaoqwsDD+/M//nJCQEObm5mhoaKC6uppf/epXVFRU8L3vfY89e/YsesKi2J7cJSM2rQbpLjtgO+vr66OwsJC+vj78/PwYHx93+YiFu9ntdsbHxykuLuZ3v/sdubm5HD58mGeffdZ5XXdTUxP+/v5cv36da9euOR8Un5WVtZmbJcSGkU6abaysrIx//dd/xWg08kd/9EcEBgau+lGcc3NzVFVVUV1dzdzcHIcOHeL3fu/3Fj3iNSUlhS9/+cscOnQIjUbDtWvXqK+v36zNEWLDSRvkNjQ/P+98gqDRaCQlJYXw8HC8vLxQFGVV85idnaWiooKBgQGio6NJSkpa8tQ5NDSU7OxsOjo6qKmpWfR4WCG2OqlBbkPj4+NcunSJ0dFRnnrqKdLT01EUBUVRVt1wbjabaWxsZG5ujoyMDEJDQ5eczmazkZKSQmxsLIODgwwNDW3kpgixqSQgt5mFZ1+Xl5djtVo5ffo0RqORnp4ezGYzarX6nvbjpULT4XBgs9lQFGXZ9maVSoW3tzcGgwH4PDCFcBebFpDu0IW/3SiKQk1NDVVVVQQEBLBr1y5iY2Px9PRkdHSU+fl5NBqN85nFXV1dzM3NLRmAarUab29vPD09V7z5qcPhQKvV4uHh4QxKIdyB1CC3kdnZWd577z2uXr3KH/zBH/DSSy8Bn9cq7XY7gDMgL1++zD/+4z/S1ta25Ly0Wi1Go5GAgIBln1/jcDiYm5tDrVYTExOzpgeCCfGwSSfNNjE1NUV1dTVFRUVUVVWxc+dO6uvrmZmZob29ndraWubn5+no6OBv//ZvaWtrY2RkhJmZmSXn5+npSUxMDDU1NbS1tTE5ObnkdA6Hg+7ubqanp9m9ezdxcXGbuZlCbKhNGygu4yC3ltHRUerq6pienmZiYoL/9//+35LTdXR08Nd//deEh4eTl5fn8pRYr9eTkpLClStXaGxsdNn5Mj8/T0NDA2NjYzz33HOkpKRs2DYJ9+RO+SA1yG3CaDRy9OhRwsPDGRwcxGazoVarURSF9vZ2qqurKSgoICYmhldffZW4uDiCg4OJiYlZcn4+Pj4cOXLEOVC8v7+fkZERgoKCFj0VcWJigpaWFmZnZ9m/fz+ZmZnO91bzaFghHiYJyG3C398ff3//RQG1oK6ujrfffpvi4mJ27tzJD37wg0Xv3x1kC6fdPj4+ZGVlcfjwYWZnZ7lx4wZ5eXkEBAQAn4djW1sbOp2OmJgYdu7cic1mY2RkhMDAQPR6/SZusRD3TzppBHa7fdnTnjtfVxSF4uJi3nnnHW7cuEFcXBw/+tGP8PPz4+LFi4yNjTmnraiooKCggHPnzvGNb3wDnU7Hb37zG374wx9SW1u76dslxP2SGuQ2Nzk5SWVlJcXFxczNzdHX18cnn3zCwYMH8ff3v2d6h8OB2WympaWFsrIyAgICCA4OJj8/H5PJxDe/+U3ntNXV1bz77rtkZGQwOTnJzZs3aWpqYnJyEovF8iA3U4h1kYDcxsxmM729vRQWFvLZZ58Bn3fmvPXWW2g0Gk6dOnVPGZVKRXR0NDdv3uSNN95gZGTE+V5UVNSigeCDg4PU1NRQU1PjfG337t184QtfICQkZBO3TIiNsWkBKQPFtz6tVsuOHTv40pe+5Oxd9vX1JTw8nJ07dy5ZRqVSERMTw9mzZ/H19eX27dt4eHhgs9mIjIwkKirKOe25c+ecN8l1OBwoisLOnTvJzMx0eWmi2D7cISOkBrmNabVaQkJCeOqpp3jqqadWVUalUhEUFMTBgwc5ePDgktMsdOqcOHGCEydObOQqC/FAbUonjTuNcxJCPHjukg/Siy02nLt8+MXD4U6fDwlIIYRwQQJSCCFckIAUQggXJCCFEMIFCUghhHBB7iguhHgo3CEjNjwg3akLXwghliMDxYUQD5y7ZIS0QQohhAsSkEII4YIEpBBCuCABKYQQLkhACiGEC5sakO4wzkkI8XC4Qz7IQHEhhHBBxkEKIR4od8oGaYMUQjxw7hKSEpBCCOGCBKQQQrggASmEEC5IQAohhAsyDlIIIVyQcZBCiIfCHTJi0wLSXbrxhRDClU0bKC6EEEtZuJDEHXJCOmmEEMIFCUghhHBBAlIIIVyQgBRCCBckIIUQwgUZKC6EeOAcDodb5IPUIIUQD5w7DPGBTQhIdxnfJIQQK5EapBBCuCABKYQQLkhACiGECxKQQgjhggzzEUI8FO6QD1KDFEIIFyQghRDCBQlIIYRwQQJSCCFckDuKCyEeKHe62k5qkKswMTFBX18fZrP5Ya+KEOIBkoBchbKyMn7961/T2dm5pnKuhjGsZnjD/ZQVQmwM7WbO3N2/zIqiMDIyQklJCdeuXcPT0xNFUUhOTkarXXnXqVQq+vv7KS0txcPDg6ioKBITE/Hy8lpVWZPJRHNzM0NDQ9jtdnbt2kVkZORGbJq4D2NjY/T29hIaGkpoaOg979vtdjo6OrDb7cTHx6PT6R7CWoqNsKkB6e7Gx8eprKykvr6epqYmPvzwQ3Q6HTt37lxVQALU1dXxz//8z3h4eHDkyBFefvllYmJiVlV2YmKC999/n7KyMgC+9a1vSUBuAd3d3bz//vscP358yYC02WxcvXoVs9nMSy+9JAHpxuQUexkLtUe9Xs/u3btpamqipKQEtXrl3Wa1Wunt7aWpqYnh4WEKCgo4f/48Q0NDq17+9PQ0V65c4dNPP6W2tpa2tjYmJydRFOV+Nkvcp66uLt5//30aGxuXfN9qtZKfn8/ly5eZm5t7wGvnPtzhDFMCchn9/f0UFxcTEBDA448/jk6no7e3l+Hh4RXLmkwmiouL6ezsJCoqCr1ez/DwMB0dHczOzq744XA4HPT19TE8PIzNZsPb25v+/n7q6uowmUwbtYliHSYmJrh165bLz4GiKHR0dNDS0sL8/PwDXjv34Q492XKKvYzOzk5KSko4dOgQzzzzDJWVlYyOjlJaWopKpSI6Otpl2bm5OS5dusTMzAznzp0jKSmJgYEB6urqCAgI4OTJky5PvRRFoaqqiurqahISEkhMTCQxMZHJyUmuXLlCfHw83t7em7XZYgUajQa9Xo9Go3E5jaenJx4eHm5RSxKubVoNUqfTuXXbS2dnJ/39/QQGBhIREUFsbCw5OTns2LGDsrIyWltbXZZ1OBx0dXXR1NQEwLFjx/jiF7/IgQMHqKqq4urVq9jtdpfl1Wo1lZWVVFdXk5KSwrPPPsvZs2eZmpri6tWrazpNFxvPYDAs2watUqlQq9V4eHhgMBge4Jq5h4VccIcfj00bKG6z2bDZbJsx+003PT1NUVERo6OjnDhxgvj4eFQqFdnZ2cTGxlJdXe0yIB0OB62trVRXV2M2mwkJCSEzM5PHHnuMffv20d7eTllZGVNTUy6Xb7PZqK2tpaWlhfT0dB5//HEOHz6MoijU1dXR2dnJ/Py8W3zAHkVWq3XFwc5qtRqHwyHNIUuw2WxuM1h8w0+xtVotWq2WCxcuMDExgU6nQ1GURTvj7h2z8P+7/15q+pWmWe9yHA4HarUaPz8/FEWhsbERf39/jhw54jyVzs7Opr29nf/6r/+iubkZk8l0Tw1BpVJRUVFBWVkZaWlp7N2711nbiI+PJzU1lbm5OUpKSti/fz/h4eGLyttsNtrb2+nv78fhcJCWlubsuU5PT6enp4fGxkYiIyPZt2/fkh+yvr4+rl69SklJCX19feh0umX3y3L7aj3TuyqznnIbPV+73Y5KpWL37t1ERERQWlpKb28vnp6ezi/tnX8WyqrVametsKamhvn5eTw8PJZcF/i8lllWVsb3v/99AgMDF30HllrOnX8MBgMqlYqhoSFmZ2edp/Kr3ca17MP7ncdalrWQBRcvXkSj0SzbRLFVbHhALnyY+vr6+PTTT12G0npDcqPfX/hbURTUajVGoxE/Pz8cDgepqalkZ2cTFhYGfN6uFBMTg0qlYnh4mPb2dhISEtDr9c7lmEwmbt68SWtrK1/+8pfJycnB4XCgUqkIDg7m2LFjVFdXc+nSJby8vO4JyP7+fqqqqrBarURFRS1q58zJyWF6epq6ujq8vLzYs2ePs6ayUGM3mUy0trbS0tJCYWEhDQ0N6PX6dX2g7/7/esJrvctTqVTO/Xa/87qTzWZz7jOz2UxRURFNTU0YDAbn6ISlQkutVqNSqdBoNIyOjqIoyrJfcJ1Ox+TkJNevX0en0znLLxfAC/8OCAhAq9XS0dHBxMQEWq1204Jsqdc3a1kL+72jo4OwsDCXP3ZbyYYHpM1mw2q18uSTT/Jnf/ZnGAwGbDbbkqeDC6+t9r27p1tN+eXK3T0PlUqFv7+/swPEx8eH4ODgRbXEwMBA8vLy0Gg0FBUV4evr6xzXaDKZaGpqoqWlBZPJxL59+0hPT3eW1ev1nDhxgvHxcd5++20SExM5ffr0onXr6Ojg+vXrhIaGkpGRsSh89+7dy9TUFOfPn8dqtfLqq6+i0+mw2+309fVRXFzMJ598Qm5uLq+++irPP/884+Pji4YlLXdavtx+Ws3/l3t9tdOuZhlrvcroztcXhkhFRkZiNBo5e/YsMzMzzkBemH6pPyqVCr1ez/nz53njjTewWCxLLg/AbDaTmprKj370I+Li4pzTLiz/7nkriuL8t6+vLwaDAZPJ5Dyd36h9tdJ37e79sNr53flj5moaT09P7HY7P/7xj6msrFy2HX6r2PCAXDjI8fHxHD9+fKNn/9AtBOSNGzcoKChg3759zoDs7e2luLgYRVFISkoiKipqUVmtVktqaiqJiYlYrVa6u7sZGRkhODjY+eFqbm6mqKiIp556iqNHjy666iYkJITk5GS8vLwYHx+nubmZXbt24XA4qK2tpbS0lP7+fjw9PYmIiCAiIuLB7Rg3cueXeT0D77u6upw/THfXchcoiuL8rCw1mHw7+81vfkN5eblbjOfdtF5ss9n8SI4BCwoK4uDBg2g0GkpLSxkZGXG+19rayuXLl4mIiODJJ59csn3S09OTpKQk9u3bx8TEBB999JGzV3p2dpaWlhYaGhqIjIwkOzt7UQ0SICwsjKNHj2I0Grly5YrzkrYbN27Q09PDmTNnyMrK2vwd4cbu99TuzlB09SVXq9UoisLk5OR9LetR5E6dizJQfI0MBgOJiYmEh4ejKAq9vb1MTk46w62+vp6dO3dy8uRJfH19l5xHZGQkjz32GGazmQ8++ICJiQkAqqqqmJ6eJj09/Z7a5wIfHx9nreTy5ctUVVUxOjpKXV0dExMTHDlyhLS0tE3bfoGzPXHhbGkpKwWocA8SkOug1+vZuXMn0dHR9Pb2UlRUxM2bN+np6UFRFOLj4wkPD3c5Vm6hs8ZgMFBdXc3w8DDDw8NcuXIFm83G2bNnXQakp6cn+/fvJzo6moaGBkpLS6mvr+f27dv4+vqSmZm5qpthiPVbqEEuVxNd6X3hHjblSprt8MGIi4tj//793L59m08++QRPT09mZ2c5derUslfYwOcBm5SURHJyMrW1tTQ3N9PV1cWHH35IUlISx44dc9l+qNVqiY6OJjk5mcDAQEpLSxkbG3MO+1ntTTTE+tntdiwWCw6Hw+X+np+fx2q1yvFwwV0yYsNrkK66+h818fHx5ObmMjo6yieffMKnn36Koig8+eSTxMbGrlheq9WSkZFBZmYmtbW1fPDBB3R3d+Pv709WVhZBQUHLlo+NjWXXrl2Mj49TUVFBamoqR44ccYuxZe4uKiqKJ554gtTU1CXf12q15Obmcvz4cZfNLMI9yM/bOi30fr7++uvcunULlUrF0aNHOXXq1KpPcTMyMhgfH+fNN9+krq7O2Uu9mt7nHTt2cOrUKQYHB+np6WHPnj3k5OS49eWd7uLgwYNkZWXd04G2QK/X873vfQ+Hw4GPj88DXjuxkTYtIJdrwH5UBAcHs3fvXkZGRggICGDXrl1rav9bOC3+7LPPsFgsHDp0iN27d6+qbEBAAAcPHkSlUjE6Osru3buXvbJDbAyHw4GHh4fLfb3QPnlnzdHVUCCx9UkN8j5oNBrOnDlDcnIyvr6+pKSkrKm8VqslPj6ekydPkpWVxaFDh0hISFhVWYPBQHx8PPHx8etZdbFOKwXdaq4mEp9zhwqUBOR90Gg07Nq1i6SkJHQ63bp6jz08PDh58iTz8/MYjUbpgRZiC5GAvA8qlYrAwEACAwPXVX7h1EseoyDE1iTjIB8iOfUSYmuTgBRCPFDuVDHYtBvmutNOEEI8WO6SEVKD3ATu0DsnPrcRx2qtt1+7n/fEg7WpnTTb5UDPzc0xNjaGwWDAaDSu65fRZrM5b3phNpux2+3OO1h7e3vj5+fnvOu12DgLN52YmZlhcnKS6enpReMWAwMDCQ0NXfG669nZWfr7+1GpVPj4+BAUFLTsuNSF+c3OzjI9Pc3U1BQGg4HIyMhVPVZYPBibOlB8O7BarVRVVfFv//Zv7Nu3j9dee21d8xkcHOTdd9+loKCAuro6Jicn0ev1xMXFceLECc6dO0dqaqoMA9ogd4agyWQiPz+fd955h48//th5t3BFUXj55Zf5y7/8yxWviCkrK+OP//iP0Wg0nD17lm984xskJyevuB4VFRVcuHCB3/3udxw6dIif/exn2+YYu0NGSA1ynUwmE52dnZSWlnLp0iU++OCDdV1WZjabqayspKysjJs3b2I2m9m5cydmsxmLxcLk5CSFhYXcvn2bp59+mtzcXLy8vKQmeZ8Wao5DQ0MUFhby61//mpGREbKystBoNExNTdHa2kpJSQlvvPEGzz777IqD8s1mM62trdjtdk6fPr2qgKysrOT8+fP09fXJrdG2oE0NyEf5S9zT08Mnn3zC66+/Tn19PcC6biE/PDzMv/zLv1BeXk5OTg4vvPACZ86cwdvbm87OTi5evMhvfvMbfvKTnzA3N0dAQABpaWnbppaxmUwmExcuXOC///u/uXr1Kt/+9rf5yU9+Anz+bKALFy7wn//5n/zgBz/A19d32YCMj4/ntdde49///d9paWmho6MDk8m06HlAS6mpqaG5uZmvfe1rvPDCC3It/RYjjR1rdPv2bS5dukRVVRXe3t4899xzzufKzM3NrXle1dXVlIIQFPwAABsPSURBVJeXMz09zalTpzh27BghISF4e3uTlpbGc889x+HDh1GpVNy8eZPCwkKmp6c3Y9O2neHhYS5evEhXVxfPP/88586dc74XERHBs88+S3Z2trMZpa2tzeVd8o1GI4cOHSI6OhqTyURjYyMtLS1YrdYlp7darTQ0NNDR0YGiKOzZs8dZexVbhwTkGs3MzNDU1MTs7CxJSUm8/PLLvPjiixgMBpdfBle6urooLy9nfHyciIgITp48uehekmq12vlsn/T0dPr7+yksLFz2mdpidSwWCz09PVRUVKAoCq+99honT55cNE1YWBinTp3i8OHDeHh40N3d7TIgvb29SU5OJj4+Hq1WS0NDA1VVVS6nHxgY4Pr169y+fZuwsDBSUlKIjo5+pM+63NGm3TD3UT3QoaGhfOELX3De0WVmZgaz2byu9taOjg6qqqoIDQ1lz549+Pv7LzldeHg4hw4d4ne/+x01NTXMzs7e72Zse6Ojo3R0dDA5OUl4eDgpKSlL3r7sySefJC4uDi8vL4xG4z3PGbpTQEAAKSkpJCQk0NTURHFxMc8999yS0w4MDFBUVISiKGRmZhIdHb1teq/dKRvkWuw1cDgc6PX6RY9DmJubY35+fl0BOTk5ycjICF5eXuzYscPl3ae9vb2JjY113tpsrTVVca+xsTGGh4cxGo2Eh4djNpudP1h39nCnp6eza9euRWWXu31Zeno6R44c4fz589TV1TE0NLTkD19XVxdlZWUEBQU5m1W2E3cJSQnINbj7oC48y3i9tFotHh4ezM7OYrVal31CnlarRafToSiK23y4trKZmRlmZmZISUkhODiYqqoqLl68yC9+8Qvg/3q5X3nlFf7mb/5mUYAtt//T09N56qmnyM/Pp6enh8bGRkJCQggICAA+D1eTyURraysNDQ28+OKLPPXUU873xdYiN8y9T/ezjXq9Hj8/P+egcFdfPEVRUBQFPz8/AHnOyQaxWq0MDQ0xODiI0WjEaDTyne98B51O5+xAa2ho4Ic//CFf/epXOXr06IrzDA0NZdeuXYSHh9PU1ERNTQ0xMTHs2bMH+HwoUGNjI11dXWg0GhITE8nIyMDT03OzN1esg4yDfIj8/f0JCwtjYmICk8nkcn+ZTCbGxsacX+Ll2sHE6mg0GhwOB11dXczNzZGRkcHLL7/s7KiZm5vjo48+4uc//zk/+9nPnO2LRqNxxZ7myMhIkpOT6evro6KigqSkJGdAzs7OUl5ezsDAAAkJCSQkJGzbcHSHfNgercJbVGhoKLGxsXR3dzvHUi5l4bnXwcHBHD582FmTFOu30I7o5eVFVlYWr7zyCocPH3a+7+XlxdmzZ3nmmWdITU2lubmZDz/80PkM8+VoNBpycnKIi4ujsLCQ2tpa53smk4lr164xOjrK0aNH2blz56Zsn9gYmxqQ26Gt7M5tXOv2xsbGsnv3blQqFYODg4yMjCw53cDAAM3NzYSGhnL48OEVn3goVrYwqD8oKIiUlBRyc3OdNbmFmo2vry+7d+8mMzOT2dlZGhsbMZvNK85brVZz6NAhcnJyGB0dpampyTl2dXh4mJs3b2KxWDh8+LDL55+LrUFqkBtgvT8EgYGBHD58mNTUVDQaDXV1dQwPDy+axmw209/fz+DgIOHh4WRnZy86JXOH05StaKGzKzg4mMDAQCwWi/O9O4+nRqPBaDTi6+uLTqdb1bHWarXs3r2bkydPotfr6e3tpaioiPb2dlpbW+nr68NgMJCdnU1YWNimbJ/YGNIGeR8W7raz0MFit9tX9QS78fFx2traCAkJQa/X8/zzz3Pr1i2qqqrw8/NzXpkzPT1NRUUF8/PzPPPMM+Tk5GCxWLh69SpeXl7yHOz7EBgYyI4dOxgdHaW/v3/RnXfuPoYWiwWdToe3t/eKYxXvLBsdHU12djYqlYrr16/T39/P8PAw0dHRZGVlERMTI0+i3OJkoPg6LHwJLBYLw8PDjI2N4XA4nDc4iImJcdY2ltoPt2/fJj8/H51OR1xcHPv378ff35833niDwMBAZ0BOTk7y0UcfMT8/z9NPP43RaKS0tJTXX3+dxMREDh48KAG5TuHh4cTHxzM6OoqiKIyNjREeHg4srkGOjo7S29tLVFQU4eHhK14rfWdZb29vTp8+TXV1NcXFxTQ3N+Pv78/BgwfJy8vb1m3J7pIPcrOKNZqfn2d4eJjy8nIKCgq4efMmdXV1WCwWrly5wmuvvUZ0dDSpqamcPHmSpKQk/Pz8Fu2LheE9Fy9e5Cc/+QlBQUFMTU3R0NCw6NGxk5OTfPjhh7S0tHDp0iXnuEl/f3/Cw8Mfyf37oAQFBZGenk5WVhZNTU38wz/8A1/5ylfYt2+fc5rq6mouXLhAfn4+r776Kjk5OWu6Y9NCGHZ0dPDZZ59htVrJyMjgK1/5CpmZmdv++LnD9ssp9ho5HA7m5+cZHR2lu7ub4eFh9Ho96enpwOf3dbTZbPj6+jIzM7PkHX58fX1JTk6mrKyM2dlZZmZmnE83jIiIcE6n0+kICwtjcHCQ2dlZ5ubmCA4O5sSJE+zZs0dqj/cpKiqKc+fO4eHhQVFREV5eXnh4eODl5UVHRweffvop9fX1REZGkpmZSWJi4pqG5Pj4+LBr1y7y8/OdnTQjIyMkJSWt+vnnjzJ3yAe5Ye4aeXh4EBUVxZe+9CXOnDmDxWJx3mB1gUajQa/X4+/vv+Ttrnx8fNi3bx8JCQl897vfdb6uUqkwGo3O/8fGxvLLX/4Sk8nkvIGrRqPBz88PX1/fbXPt7mbx9PTk61//OllZWfzqV7/i/fff56c//amz+WR6eprHH3+cv/qrv2LPnj1rHq+o1WqJiooiMzOTzMxM6urq2LFjB4mJieu6d+ijxF3yQWqQa6RSqfDw8CAoKGjdw200Gg3e3t54e3u7fCa2oih4enoSFxe37LxW0ykk7rWw3wwGAzk5Ody+fRs/Pz9u3brl/CFyOBw888wzHD9+/L7u07hnzx5eeeUVenp6iIqKWnSWILY2uWZti1pt7VDCcX3u3G8Gg4EvfOELPPvss0tOd7/7OCMjg4yMDGcoyzFzHxKQYlu7M7Q2I7jurOHfOX+p+bsHacQS29pmh5Sr+W/ncHSnWvSGB+Rm/hoLIcSDJNdiCyGEC5sakI9iL7YQYvuQNkghxEPhDhWoTQvI7XJHcSHEo0tqkEII4YIEpBBCuCABKYQQLmxKQMo4SCHEctwlH6QGKYR4oNwlHEEGigshhEsyUFwIIVyQU2whhHBBBooLIR4Kd8iHTQtIaX8UQizHHTJiU2uQQgjhijtkhNQghRAPhTtkxKYNFL/zbyGEuJO7ZIMM8xFCPFAL4egO+SABKYQQLsg4SCGEcEECUgghXJCAFEIIFyQghRDCBQlIIYRwQQJSCCFckIAUQggXNjwg5XELQoiVuEtGyEBxIcRD4Q75IKfYQgjhggSkEEK4IAEphBAuSEAKIYQLEpBCCOGCBKQQQrggASmEEC5s6iMX3GGckxDiwXKni0mkBimEEC5IQAohhAsSkEII4YIEpBBCuCABKYQQLkhACiGECxKQQgjhwqaOgxRCCFfcYZy03DBXCPFA3T1QfCvnhJxiCyGECxKQ28Tg4CDXr1+nv79/TeVc/bqv5ld/K9cMxNaxlZvkJCC3ifr6et555x0qKyuZmZlBUZRVlVOpVCiKgtlsxmQyMT8/j6Ioq/pQL0xjs9mwWCyYTCasVut9bYcQD5L2Ya+A2FxWq5WBgQFu3LjBpUuXnOF44sQJ/Pz8VjWP/v5+fvnLXzI7O0t6ejqnT58mNjZ2VWXn5+cpLi6moqKCrq4uzpw5w9NPP30/myTEAyMB+YibnZ3l5s2bdHZ2YrVaqaiowMfHh5ycnFUHZFtbGx9//DG9vb3s3r2buLi4VQekzWajsLCQ9957j76+PgICAjhz5gyenp73s1lCPBByiv2Im56epqSkBEVROHv2LGazmRs3bmAymVYsa7PZaGhooL6+Hi8vL6anp7lx4wYtLS1YLJZVLV9RFKqqqqipqUGr1TI2NkZVVRXT09P3u2lCbDoZB/mIGx0dJT8/H4vFwhNPPEFSUhJms5mOjg7m5+dXLF9cXExtbS1paWnk5uYSHR1NT08PVVVVmM3mZctaLBYaGxuZm5sjNDSUvXv3YrfbuX79OiMjIxu1icKNORyOLd2Zt+EB6S7jm7aL/v5+bt26hVqt5vjx4xw7dozw8HBqa2upra1dtrPGZDJx48YN2tvbycvL4/d///d5+umnGRwc5NKlSyvWAm/dusX169cJDAzk1KlTPP300xgMBgoLCxkYGNjoTRViw214QCqKgtVqRafTERgYuNGzF6tkt9u5desWbW1tJCUlkZycjI+PD5mZmSQnJ3Pr1i3q6upc1vZnZ2epr6+nt7cXrVbL3r17eeqppzh9+jSdnZ2cP39+xVpgU1MTxcXFhIWF8cQTT/D444/j6+tLdXU17e3t2O32RdPLD+r2oNVqsVgs2Gy2LX/MN7yTRqvV4uPjw9jYGCUlJQQEBKBWqxftiDu/lAv/Xuq11fxbyt37b71ej6IolJeX09jYyL59+8jIyAAgLS2N3t5e3nrrLQIDA5mfn1+yw6StrY2SkhJUKhVxcXFER0fj6+vLrl270Ol09PX10dbWRkxMDD4+PveUdzgctLa20tLSQl5eHnl5eURERBASEgJAV1cXbW1txMXFodPpnOvucDiYmZlhcnKS6enpVQ8pWmpfPAgPuznpYW2vw+FY87L1ej02m43p6WlCQkLw9vZGrd7a3SAbHpC+vr4kJydTVFTEtWvX0Gg06HQ6VCoVarUajUaDWq12/n+5P2spo1Kp7plupXLrWae7y620TndPt5nrtDBtUlISHh4e3Lhxg5s3b/Liiy+SnJwMQGxsLLt27eLHP/4xXl5ejI2NER4efs9xrK+v57PPPiMhIYFjx46h1Wqdx/fkyZMYDAbKy8vx8fHh5MmTi8rOz8/T09NDV1cXJpOJ5ORkIiIiAIiPj+fEiRPOgevh4eHOgAQwm81cvXqV8+fP8+GHH2IymfD09Fzyy7jRr61n+oe9Dg9rWXcG5FKhufBjd+f7Cz92QUFBnD59mvj4eJfrtFVseECGhITwxS9+kaioKNrb21EUxRkQsPg6zLtfczXNaqZ3Ve7Og2e32xfVSFa7zPWu13Lbtpr5rHUf2Ww2AJ544gkOHDjA3r17CQoK4sCBA0RGRjrXKTQ0lPDwcOx2O42NjXh6ehIUFOR8f3p6mqamJrq7uzl37hy5ubnOEPPw8CAvL4/5+XmuXbuGh4cHJ06cWLTNY2NjVFRUYLFYSExMXBTAiYmJHDt2jN/+9rdMT0/z5JNP4uvrC3z+Bers7HRe8ZOZmXnP8Vqv1ZZdrmZ052dpqXmupayr8sut652hs9p1Wo/N2s82mw21Wk12djbHjh0jLCxs3ct5UDY8IENDQ3nppZd48cUXnYGkKAoOhwNFUbDb7Yv+fed7S/25M9iWm/bO+bqaz2qXudrlr7TMpZZvs9nWvM1LzWep5ZvNZqxWK1FRUeTm5vLNb37T+aG884Or1+s5duwYvb29FBcXExAQ4AzIiYkJqqur6e7uxtPTk9TU1EXh6nA42Lt3LyMjI/z0pz/F19eXqakp/P39ndMMDAyQn5+PwWAgOzt70Xvx8fFYrVZ+8Ytf0NLSwtjYmPOL0t3dTVVVFfX19ezevZu/+Iu/wGAwYLVal2yrup/X7rf8w3rNXdbn7tdVKpWzQ9DPzw9fX9+H3jyxGhsakAu/oBqNBo1Gs67yrv4s7Nw7/7/c9MvN537LAauez8J0C+u+nuWvtsxC+GZmZjr36cKp8Z28vLw4cOAAs7OzFBYWkp6ezt69e4HPhwV98sknzM/PO9sN76RSqTAYDMTFxTmXU1RUxL59+5zti93d3Xz88cecPn2akydPEhwc7CyvVquJiIggNTWV5uZmampqCAkJITg4mPr6esrLywkODiY5ORmDwQCw6BRcPFrW05b5IG1oQN7vht59eio2h16vZ/fu3dTV1fH+++/T19fnfG+hVpmYmMjjjz++KNzuFBYWxpkzZ2hqauLjjz8mMDCQkJAQbDYb3d3d9Pb24u/vT1ZW1j0N8d7e3uTm5qJWqykrKyM4OJgTJ05QV1fHrVu3OHv2LBkZGSiKsuUb8cX92erfd/n0bUM6nY7o6GhiYmLQarUMDQ3R1tZGT08Pzc3N9Pf3Ex4eztGjRxe1Td7Jz8+P06dP4+/vzwcffEBXVxcAZWVlDAwMcOjQIdLT05cMOLVazf79+0lNTaW0tJSSkhJGRkZoaGigp6eH/fv3k5OTI+EoHjq5Fnsbi4iIICEhgZmZGW7cuIHNZqO9vZ3IyEgSExOdp7hLnQbp9XrS09OJiYnBbDbT399Pa2srly5dYmhoiCNHjjh7zu+mUqlISUmht7fXea14QUEBU1NTREREEBMTs+nbLsRqaH74wx/+8GGvhHg4TCYTJpOJmZkZWlpaqKqqYn5+nkOHDnHw4EFn+6Or0yCtVsvU1BRDQ0MYDAa6urq4cOECarWaZ599loyMjCXHSKpUKjw8PLDZbJSXlztPyf38/Dh8+DA5OTl4e3tv6rYLsRpyDrONhYeHc+TIEaanp/nwww8pKCjAYrFw4sQJ0tLSVjWPhIQETp48SX9/P++88w7t7e34+PiQkZGx4jAOo9FITk4OOp2OkpISZ1vkwrAfIR42CchtLCAgYNGVMRaLheDgYHbv3o2Xl9eq5hEREcHRo0ex2+00NTXh5+dHQkICUVFRK5b18vLiyJEj7Nq1Cx8fH5KTk9m9e7fz1F6Ih03aILc5Pz8/cnNzmZ6eJiwsjLy8vCWHBrliMBhISEggNzcXRVFITU3lyJEjqxrm5e3tzd69ewkJCeGrX/0qiYmJMqRHbCkSkNucSqUiJyeH4OBgjEYjkZGRax56sTBsJzw8nJ07dxIVFbWqeWg0GgIDA+WmJmLLUjm2+u00xKazWq3OK240Gs2aapAL5ufnsdlsaLXadV8oIMRWIwEphBAuSCeNEEK4IAEphBAuSEAKIYQLEpBCCOGCBKRYRPrshPg/EpBika1++ykhHiQZKL6NTU5OUltby6effsrk5CTf/va3SUxMXNM8enp6KCgooKamhp6eHsxmM97e3sTExJCbm8u+ffsICwuT4BVuSQJyG+vq6uL8+fP8/Oc/x2Qy8aUvfWnVAWmxWBgYGKC4uJhPPvmEuro6+vr6mJubQ6fTERYWxtDQEFNTUxw9epTo6OhN3hohNp4E5DZlMpmoqKjg7bffZmpqCqPRuKYraDo6Ovi7v/s7Ojs7iYyM5Jvf/CaZmZk4HA7a2tooKiqiuLiYwsJC/uRP/oRz584RFhYmV9gItyIBuQ1NTk7y2WefUVNTQ2RkJN3d3YuePLkch8PB9PQ0tbW1XLx4EV9fX5577jnOnj3rfIxnZmYmRqORxsZGCgoKyM/PJyoqCqPRKAEp3IoE5DbU1dXFm2++iV6v5w//8A8BaGhowG63r1jW4XDQ1NREeXk5IyMj7Nmzh+eff37Ro10DAwN55plnuHnzJi0tLVRXVxMXF0deXh56vX7TtkuIjSa92NvMrVu3KC8vx2g0kpGRQVxcHH5+fouevrgch8PBrVu3aGhoIDw8nNTUVEJDQ5ecNi0tjaysLPr6+qitrcVqtW705gixqSQgtxGr1UppaSnV1dXk5uZy5MgR5+ur5XA46O7uZmBggOjoaKKjo10+XCssLIy0tDRmZmbo7e1dVQ1ViK1EAnKbsFqtdHZ2UlVVRX9/P7m5uaSnp9PX18f4+DhqtXpNQ3HufB63Kx4eHhgMhkUPjRfCnUhAbhNtbW1cvXoVDw8PcnNzycrKIigoiKmpKebm5pwP0oLPT8MHBwddzstgMODt7Y1arV42JBeehujr64uvr688xlW4HfnEbgOKolBSUsJbb71FVlYW3/3ud1Gr1UxNTTE/P++s3TkcDlpaWvinf/on8vPzXc4vICCA4OBgtFrtsjVIk8mExWIhPDx82VNxIbYq6cV+xJlMJpqamiguLiY/Px+NRkNbWxt2u53h4WFaWloYHh7GbDbz93//9+j1ehobG8nJyVlyfiqVioiICIKDg6mqqqKvr8/lqfng4CBdXV0kJCSwe/dued6McDsSkI84s9lMR0cH09PTeHp6cvnyZa5duwb8XzviQg3ynXfeITg4mL179xIUFLTk/NRqNXFxccTGxtLf309nZ6fzUQt36+rqorW1lSeeeIL9+/c7T+GFcBcSkI84b29v9u/fT2RkJC+88ALz8/MAaLVaent7KS8v5+LFi8zOzvL973/fOVYxLi5uyfmpVCrS0tIYHh5mx44dTE1N0dDQQHJyMp6ens7pzGYznZ2d9PX1kZSUdE9ALrRPCrGVSUA+whwOBx4eHkRFRS35nOrx8XH0ej03btzAbrfz/PPPk56e7nJ+MzMzTE9PO9sUz549i9lspqSkBIPB4LyOe2ZmhsbGRhRFISUlhcTERNRqNc3Nzfj7+xMaGirhKNyCBOQjbKUQmp2dxWazOU+1zWbzstM3NzdTXFxMTEwMUVFRfOc73+H69etcunSJqKgoZ0B2dXVx4cIFoqOjOXnyJFFRURQVFfHmm2/y2GOP8fWvf33DtlGIzSQBuQ05HA4sFgs1NTVcvHiR1tZWHA4HFy9exM/Pj7i4uCWvmVapVExOTvLb3/4Wq9VKTEwM1dXV3Lhxg7Nnzzqn6+vr491338XLy4v09HQKCwuZmppiYGBAxkMKtyIBuQ3Z7XZu375NQ0MDxcXFKIqCt7c3+fn57Nixg6ioqCUDMjg4mJiYGN577z1KS0udr989ENxkMtHe3s7MzAwlJSUAREVF8cUvfpGkpKTN30AhNog8F3sbUhTFGWK1tbWYzWYMBgOBgYHExsaSnJy8ZECaTCYGBwepra2lr6/POVBcr9dz+PBhkpOTAeju7ubatWvMzs6i1WqxWq0EBASQlJREbGwsO3bseNCbLMS6SECKJa2nl3mhLVMGhItHhQSkEEK4ID/1QgjhggSkEEK4IAEphBAuSEAKIYQLEpBCCOGCBKQQQrggASmEEC5IQAohhAsSkEII4YIEpBBCuCABKYQQLkhACiGECxKQQgjhggSkEEK4IAEphBAuSEAKIYQLEpBCCOGCBKQQQrggASmEEC5IQAohhAsSkEII4YIEpBBCuCABKYQQLvx/5RCiS4RH3JUAAAAASUVORK5CYII=)
physics-General
physics-
The total current supplied to the given circuit by the battery is
![](data:image/png;base64,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)
The total current supplied to the given circuit by the battery is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARAAAAEBCAYAAACwgPorAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAGN0SURBVHhe7d0HuG1HWT5wQu+9995Dh0BogtEEkKIUhUiHEAKB0AVCbwEEpAQlEAhCpEkJoQvSQ+8EEaQIYkFF/IuAtPW/v7m8N99d7HPuufvsc87e+8z7PPPssmatNWvKO1+bWacaOjo6OqZEJ5COjo6p0Qmko6NjanQC6ejomBqdQDo6OqZGJ5COjo6p0Qmko6NjanQCmQP86le/amkl5Pgvf/nLiXnzO8f2lILVjlWsJd9a8nQsHzqBrAOTBk3SWiEvYvjFL36x67xJ13H8//7v/3bLB76HWHwm5Xz5f/7zn7dU/6/nTjovyO9J+YJJefLf3iLn1dQxv+gEsslYaUAY6P/1X/81/Ou//uvw//7f/9stn+8GZYjgxz/+8fCTn/yknZPBWgevFMKRL8RT8yf5netOOp48OX+cp5Yvx2qevUWuW1PH/KITyDqhgxss64VB/p73vGc4/vjjhy9/+cttEEKun8H7wx/+cHjf+943fOADHxj+4z/+Y9cgk6em//mf/xk+9alPDZ/73OeG//7v/941qKV6DoL553/+53ateqwm5/7oRz9q5Ibk/M6xlDHlG19jb1HPnfYaHZuHTiDrQDp3HTRrQfImv8/vfOc7wyMe8Yjhj/7oj4Y3v/nNTSLIMddP+uY3vzk89KEPHY444ojhE5/4xK5rQL7/7Gc/G04++eThyCOPHJ73vOcN//iP/7hbGX2Hn/70p8OXvvSl4Zhjjhne+c53NskmSF7wPzL6q7/6q+Gkk05q1x9DXiSD/D7zmc80sqnItfaE3LemjvlFJ5AtwHhgGKDveMc7hpvf/ObDpS51qeHJT37y8O///u+/PrqToMDAfde73jXsv//+w5WvfOVGDj/4wQ92XSuf/nv5y18+XPe61x3ucIc7DB/60IeahON4pAQwyF/4whcON73pTYeHPexhw7e+9a1dx2oZv/e97w3Petazhj/4gz8YXvCCFzQpaBJIMs9+9rOHhzzkIa2clQTr9faEmn+t53RsDTqBzBhr6fTjPAbyU57ylOESl7jEcKpTnWr4vd/7veHDH/5wUy8gg/o///M/h8c//vHDBS94wZbvtre97fDZz362SRKQa379618f7n3vew/nOMc5hite8YrDn/7pnzZCch2D2qdEUkAw5zrXuYbf/d3fbSQ2vhbSInXc5ja3GS52sYsNhxxySJMyQJ6UDTGRUuS79KUvPTzxiU/cJYUkX33mjuVAJ5B1YNKA8N9K/1fktwH68Y9/fLj1rW89nO1sZxv22Wef4TKXuczwuMc9rqk1IK98BugtbnGL4YxnPGMjkGte85rDq171qiZxJB9J473vfe9wk5vcZDjNaU4znPnMZ26DGiFFCgFkRHUx2N3zkpe8ZLvnv/zLv7TjyUf6QEDI7bSnPe1w7Wtfe3jZy162i9yST1lJHySoU5/61I2Q3v72t++SeMb2kZWw2rGO+UMnkHVgPBjWMkCg5vn+978/vOhFLxoue9nLDhe5yEXaQL3ABS7Q1BlEYNCD2Vy+y13uck2yOPvZzz5c6EIXGu53v/s1iSP49re/3YiAtIBoTn/60zdC+rM/+7PdVI+vfvWrw93vfveWBzGc5SxnGQ488MDh/e9//y7VAxhh73SnOw1nOMMZGmkhOff8xje+sesZfP7t3/5tI7fkO+95z9tsNewvkXqQSH32SVjtWMf8oRPIOpDBYHDUVOE4j4iB/clPfrKpCW984xuHf/iHf2h5GULveMc7tgF3+9vfvg06No6LX/ziwxOe8IThn/7pn9p1PvjBDzaVxf8MrQcffHCb7a9xjWsMb3rTm5odBdm87W1vG250oxs1EqIKISIqj3t8/vOfb/f83//93+H1r399O9d92UCucpWrNGnk6U9/evPIACnjda973bDvvvs2NYfdBTEp32te85rm3QG2j2c84xnt2IUvfOHhale7WvtOWvnzP//z4d/+7d9avtTXaqljsdAJZB3Q4SeRhhnXIOQJ4Zol8pMK7nnPe7ZZnnrxl3/5l212fslLXtKkChKI7+wNhx12WJMwfuu3fqupHgaggW1wGpQnnHBCM1IedNBBw7nPfe5dM730mMc8pkkm17nOdZpLmORx+ctfvg3+V77ylW3Qf+UrXxke+MAHNonHPV784hc3qQKZIB2qkmfgoVEWBKTMnoE65Dw2FtdRB6SPW93qVsNZz3rWdj6VBxn6jWx4b5AMCaQiao3UCWQx0QlkHagd3mAws1M1DMBXvOIVzdVqkPOG3OAGN2jSgNnZoDcw5fnjP/7jNnBJCIyapJXnP//5w/nOd77h/Oc/f/N6vPa1rx1++7d/ezjTmc7U8n/ta19rpIIsznnOc7bB/Td/8zfN/eu7c+9///sPf//3f9/UoN/5nd9p5KM8SOENb3jDcL3rXa+pS6Scv/u7vxte+tKXNlWHFEJVIiEhtCtc4QpNmmAURWaPfexjW/lJLCQpNhNlJBm5Lw8S4nzuc5/bJCT/IZejjz661Yv6IS1V0l2JiDvmH51A1gEdP9LGpz/96SbW86bc7W53a4PWbGymftrTntYGt8HsuEF5rWtdq83+BpmBizRiwDSjH3DAAcN5znOedg2eElKFxO3KaOq+1AuEZPDyjiAXqstVr3rVdsxARTaPetSjdqkeVA3kQoq44Q1vOLz73e9u8RsC037/93+/EQ2bB1L4wz/8w2ZvYRAVvOY5jzvuuHZ9ZXnkIx/ZpBzqFFJBciQu12M7QUTcw8iRfUT5nvSkJzXiQTKeg5oU20g+OxYHnUAmQCdOyu9J4PL82Mc+1mZdMRIGvUH38Ic/vA3At771rU2q4KEwUMyw7BD3uMc92oBm4KSqmKFrgJb8VBbkQsJgf6AO3PjGN262EOQBXLh3vetdG9GY6UkyBjzC+eIXv9jyIJG3vOUtzS5ikFOVDH5EQfX57ne/2/KxtRx11FGNjJALgnNN5XzqU5/aJAf18NGPfrQRjHLzAiFK51DDnM9rA+7LQEySUeZjjz22BbYx3LLl+CRB/fVf/3WzD43Vm9R/JJM9tUXH1qATyAjjjpsU+C6mAnGwbTzgAQ9osyud/0/+5E+avm/25Sad1Nmda0BSFXgrqBHUgww8MPhIK4ybXLHykVLEgLBzBAY1+wVSkEe60pWu1KSZGC6Bx+VBD3pQI6Pko1aRiuLlQUoMsNe//vWbV4Yr1icVDAGE3NgykBtJh0rFe+O6pAwGYaSaOqywvoeqxODreUlpCPd2t7tdk5BIMggxhllQ14hF8n3SdTu2Fp1ARkgnHROHgSGMnK2BaM6GQeowk1IL/E8FyUBbCdQAA1yAl/gLM/ikMHKu2Xvd615tcBrI1AtSSvLJ416IjGH2dKc7XYv5IAEZiCEG4L4VmYqEkAdphhREOqj4whe+0NQRxCDfRS960SY1IKogREMaIkGFtOImrnXn+xjK7HqiYxlbEQkVCQnf5z73aUTCdkMNCnJNn5Ou2bF12LYEslJHTCfVYc18iIN0wAYQVcWsbKA95znPaSI9UqhBWkGulQRmYjYAM70ByrMRV22Fa1IJqBCSIC1GWqiDk0QgdJz6EumDIRbky6dykmgQzdWvfvVm1ExcSK6FAN1TuZCWgX3iiSf+RnQq4kEsVCH5SB/ILcfrYM9/+QTfEYn7U7WQBruMOkEkrk39Q9hjYq3P3rH16BLICjDTGlCMgnR1HZvIraNzwTKamknZNnTo2rmToP6WkBJRngTAVsEdWweoBK4rZoT3hoRBjQjkCTkgpL/4i79oxlTSh6jWiP2eIfkMRlKTiFOzPttMpJTc06BmTL3ZzW7W7BpUMvaYPFeuhaDYVbiUqWLPfOYzG+GBPMmf6+bceiz/h0ioWbxNFhSKyvXMvotmZSOp9ZzzO7Ye245AaidMSscOMsi5Is3CvBcGp9ldMFhCx4NJ18i1J4Geb9YVl2FwJF/N71oGPQmF9BEbyTivAWj256KlWrGxOBYSSZkSuk4Vom5QERyTt97XgrrDDz98uOUtb9mI0jWg5vOJgNh9JCrNpHxB/hunMRCT2JJXv/rVzWYj5oS0R8JCprXenZ86n3Stjs3BtiCQ2mHzPZ2vDjKznDgJrkoDkrpCSuCGpcKQSCZ11nr9YFK+wMyfwC9qSQZBPcd3x9gzLF5TtvyfT0n5Y9RFevHQ5PnybFQBNg7uXSTo3HpfCez3QW1RBzxGwTgfQhPHgmTYLIIcXwn1GsH4P1KVsrLbsDHxUlEZGW+F2iOSnON567nja3VsLLYVgaRj+czgAd/ZIQwccQviGczAvB5iMojnyRuMf68Vzquqhc98D1I+5CBNulfN43qT8iVP8lGVSD+Iye/cV76c638qhUGKdHJ+8iQfEuTpocZVg+csQSLh2REOz13NcCuWRNAbUo3qF9QyppwdG4tto8JM6lwGhs7PkEesJzKLFhXmzcVJQohxtJ6Xz2ng3AxKaaWB7/8ck5TDgDZonBfkOrlG8ifleD0n/4/z5ljIpaaV8vishLheuHauK1HRkB6piYFXYJ0APPYZ9hqqmTwVtawVk/7rWB+WnkDSmTIQ8p/vZk9Sx6GHHtqiMsUksBPEjShPPT/fpVxnGqQsGYTj6/idAeS4gCw2BwOGqsJuEtVnUso16n+5lk8Dfjzo5R+fI+X/ccqxmm8WcJ2U0WeuiyS0F6O2ADi2kTvf+c5NOjEBjL01NdX/OmaLbUEg405uRiMas22wcdCxdUrxGDppRc4bd8D6fW+Ra9Uyja8tGTRC0RlHLcTjuREar6w8FqJIc50QRE2OkVw8E5E/yYBj30CU1ITkdY0M2qQcq+VaKc0CuVbuO742W5BnEECnThiFeZcYpLmXEQ/kGkn1Gh2zw7YhkMCg09no0kKq2TxEjzKeUg/SYWuaNdZ6bZIHsZ10RL0SdyKK1aBBfJ6DvaIOlCTXNpi4m219yAAp/kSEK6JkJPWfaFrPHntHJJNaxlrO8W8Y/14v9nQP3xm0ubY9GwOrgDyGb94aRuVgLMl0zBZLQSA6h04fjDsbmInNuBaj0aOtDTEYLeqq5/peB9BWgqpillVWK2OpLQLHLMgTg0EiEbGaWbeW3aAxUz/60Y9ug4vNgCcJWfDsiON48IMf3AzGVuT637l7IpCtxrg8jL2I8S53uUsjWu523iF1l2ep9TI+v37v2HssFYHUzlE/DTwqiwhH3hVqgCXt2aPCuRHf893nVkK5zaTiRV71qle1HcCUidGQSmOwsAEgwBgR6zOQXoTYW/Ni8RsjJPHfcflJHDxMyAUZuSb36VY/91qgjDWxVwlEQ7KkM88katiapNhG1OdKz5a+0rH3WCoVRkdIR0mnMCiIuiJIuQHNuqI1x0a3dMbx+ZuF8f38NtCV3wDxKciLEZHIvt9++7Wl8eIxkIL8+aSKUV3EsYgUtToYoYwhylR9WCNjUaDru8YiwHOOCYE6Z7MlhGm3NSoN43OeKW3s9/jcjumwNASiQyXlNz2ZnYC9gL2Dzq9D1fiB8Tn1c54gsIoaYna1NobHSBh8DfHOQGEYtWWhXcmQg+fOKtcMImBcNVNbzcsmxLgadWhR4dmFv1P9rK0xcbD5iOXpBDJ7LI0KkxTwXljtSWVBHoyFmWFrvvp9XqGMVJWsXrWhj4VxRPYMDHkqgYg4tWjOPh2Mr/6DOniocNb5kFIEarGZLCKBePaQA5DY7J5mwyOEa20Nd2+NJE6ddawPC0UgKzW4/3OM2G8mteeENSy8FzatoQKAfOPOU8/fKuzp/uw4BgADKCMq6QIxWmUbdSzkSMISL8I9bdsAUgbxvuYBJIuQLLCz3kQ0bgbhVtfHWqGcyhxiTLn9ZjT3QiyqKyIR48O46hgsyjPOMxaOQHSSpPxOR4jubxWniFJiOW8D8V2ecf55QsoX6OTKLRqW/YJk4LhnRJCejfHTWhTrV3KOJB8DLBewwWOfDYvUPHtA9ckGQvZHte4kRtZxWeYZKWtNaWOTCRsRIzTvDI8TKY4kOuncivHvjslYOALRwQ0mnzpKBoVjZmcrSS2BZy9g7xgbS5PmDeNyKbfIU+txuCV5XwIDgCfJxsZE8/FSeonbmufFqlaSCIKIIVXdISFEy9goMI0b1/3j+pzXehpjUjnH/yFY3iwh8PqG7yQ6kC/9aXwdGF+rY3csnA1E5w55pGENNjqvwWKWQR4kkbg364CY1w4xLhdpgDHQHiSSyFM2CytuGYaJ5J6VIZXOD+pFouoIqCJ9cc+SQITrW9+DbBhkbRNABXJMbIzrUGkQD8xjHU1C6m1Sqn1EnTAse30F8vU9206mTyVvPjv2jIUjkHHH0PBmalZ34rpYD2HaSEW+Kq04Z1E6hzIzalrOzusi7kPnF/thFrXpD/1eZG3UmzwjgkAMiMd+Joyp3gvDncsYKwaGfcjOY1QYeZCvbRmrh2pRkHatSV0kJQ+pQzCdF3PxYiFinqiQh5S8HWvDwtpAgGfB3prWQhhgGSDJY2CNCWQekc6bMqacSJAk4ZUN4j7ygiiSh02GGAk9X54356kD+6lyzyIfu6x7u5ywfeQiVsJiNARix3fvn7EtoRiTRSSQCnWgvT0HaWpcp4zpPHLUOiRCtRuvf4Kck/M6JmMhCQR0EAFiJA/iPJHc4MgASOPXgQXz2CGUibqlw4cQUn4kIlzdbua2DuRJsAMZI2lmTvnrc1JTrDK2o5pzGFO5cu0zytNCDfKaBS5cwVaIhUuYxBO1b5GQ5w7UIbWOxKGOIHnUE9WF8VnUqmUNXN6xI4FzMvGMr92xOxaCQNKIPiUNy2Bq3w6SB7emUObx4FsUKDPiY/eoz1CBSKz7MIPKsxrUj8HDeOgcyXeDKkTFw2NDIHYV9gF53N+9Fx3qTh151pX6A4MyFQaBIBI2EXUgn/pzbkjENSa1ScccE0gafdxoGpR3waxJDLUgjgchg8rxRWpoZdU5lTtl38ryb8W9Z/3MuZ600sD3H2mMJCL0nW0JiSBax9IeUkjX947dMbcEUhu+dgAbDXs/K8nDZ/YBrY1e8y8KlHmzy13v6XOzZ9ncc9bt5jr1eVa6rv+pgjZxZg8RjUvNI+0FykU6lFyvY3fMtQQyJhFit7gHr1hg+7DCtkoevm/2IFhkqKeatoJ83U+bzbrd8kwrXbPejyon2ExULhcvI3ONrdGvMkmtdL3tioUhEKKluAgRhVajiluowUA1f87pWB2pq5q2Cpt9b32l9hd9ycZS8c7oa1k/FCTvZpd1njHXRtQ0FOMeFyP/vVnCDMEgWBt03KiT/uvogyCYVAcMyl6KLsbGZk1eIVHVGajnbfc6hLkgkNUaglgtqlSIOot5XfvRJY7psN3ra6U+oz/ZV9VGTGxsXNxCA0D+cX+bdI3thrkikDROftM7kQePi1cdCp6ymhI0JnJJo3Z0rAe1DyKN+973vm3tjNeGxjNTCST5tzvmSoXRQEgDMYAAKqHp9gS1tyePS3z7NfXG7FgvQhBAbbEJkdd2UplFA/uvkkfSdsdcEojEgCXkWJQp24eVtSGLahHvjdgxK2RCAlKHl41ZNmC7R5PZGL3vzRGBaIwQBAMpA5adts0CFn+Nt+RL4/VG7JgV9KX0J5OUNUU2WhI2YDLj7u39bXfMFYEk2fwG67OGmwXMBrF3hDxq6uiYBfSl9DGJumyFss2bLD4UcCbcveMUbBmBpLHGJCCAR7CYXbIsX7fxDdT8HR0bgfTFGlBnK0gLGHllxB9ZyKgfwqT+u92wZQSi8mMwTQOI93j3u9/dgsWoLjWseDs3UsfmYRIhkIjt3oZErGoWLwL68Haf1LaEQFR4Kj+qCZA2+N5tDGQbvyouTmrYjo6NQPpa+pt1MFQZ79kxuYmC7uSxE3OjwiALUYB2yrIeIXt0Btu9oTo2B+M+lz5q0Z0gRhsv2eXemwITbrCdseUSCPj0egLb99lej+pS17nUz46OjYI+llR/gz5qh3ybXDOq2sls0qtC6jnbAVtqA0mlc4/ZNcsiJvt75AVA27FBOrYWq/U3e4J4n7D9Zk12ttNkt4Pan7dTf91SAgGShpWPgsXsMCZ0PYFi27FBOrYeK/U3/1O1hbd7253XYQh711+hE8gGI5WbpMJtRWhHcNvKveY1r9nVGMnT0bGVqP010Gcf9ahHNWO/F1VRbSbl2w7YEgIJGKZ4W7x+wLtc7DIO1TPT0TFvoLZQZWxqZf+QN77xjbv2DukEsgEIcUiVGLy/lerCcKoR6JgQUbCjY16Q/pjJTXS0yFSvUPVGANsAwHbru5tGICpWiuvL1voiTr3YqEof0MmjY56gPyalD/uuz1olzqDqBe6CHh3fTth0AkkFkz68MIkImOXSHR3ziEogUiZBDoD3vve9za37sIc9dPjc5z6769h2waarMBJLtvex2mHs6U9/ettef5yvo2PekL4ZNcZ3Ye0Mqre4xUHDC17wZ7tiQ3bk3pF2Tpa687L2602VQEBYMAOUhXL2nfzIRz6yy5e+rJXcsVyo/VTfffWrXzUccMBvDwcffJfh5JO/XPowkknaec4px5YDmyqBgPeQMjrd5ja3aaHrbCGwjJXbsfzQZ5HGIYfcZ7jRjfYfXvGKY4f//fGPfn2MrURaXrvIphEIiPEgcdz2trdtmwUJX4/O2AmkY/Ggv9oA638acdzqVgcOhz/osOFb//iN9j/y+OUvvasoJLJ8/XtTCYS08bznPa9tUyhkXRwIRKeMXtnRMf/QT01+O4nhC1/43HDEEQ8cbn2bWw3vfd+7hh//RFzIDtX91ySCTGITWSZsCoEAkvjc5z7X3kFqRSPPS+winUA6Fg8hkJ3E8MMf/udwzDFHDwceeMBw1DOfOnz72+JC9G8SyE4C2WkL2fHXEmHDCCQqSQjBzk7e/HWDG9ygha7bYT2o+To6FgM7CeRXOwhCQhYf/vDfDn/4R7cf/uD2txk+9KH37fjvZzvSTgKJpLIzLQ82hECQwViiEHRjVye7XFsKPX5tYEfHYuHXBPKrEIgXv//D8LjHP3rY/4b7Dccff9zw4x9z6RoLnUD2CpVAgPHUVoWMp6SPz372s13i6FgCmCB/toMSSBq/3DEp/nB43euPH254o/2Gxz7uT4ZvfGPnqyC6DWQKIIiQBGOp3dWpL5ZCV9dtR8fiYkcfp6I0EtlpD/nMZz453PnOd9yhytxxeNe73rGjjyOZnakTyF6gEoiXQtmExaa09v7IorlOIB2LDcRAjdnpaUEo3/vePw0vfOHzh1v93i2G5zznWTsmy//YcXz5iCPYFAKx0Mh7Ru9whzs0TwzU4x0di4lTCGSnivKrHZPjT3dMmJ8ebn/73x/ufe97DJ/+9Cd27XGzjNgwAgE2EMZSW+Hf5CY32W3dSzWwdnQsKnZXUXbi+9//t+FRj3rkcOCBvzu86EUv2PVWxWXEzAmkShaY98tf/nJ7VYP3vFgDk82SO4F0LAN04Z39+JS+7I12b3rTm9pi0fve95Dh29/+9q+PLB82lEDYOqgvNg2yf+T3vve9Xcdrvo6ORcVKffhrX/taWzCKRLxTJna/ZcOGqjCWNj/taU9r7tujjz56t1c1dALpWAas1IftWPbMZz6z7bbn0ytbYdn6/YYSCNHtvve9b5NAqC/jhXPLVJEd2xeT+jIV/cQTT2yq+13vetf2esyo7T6XBRtGICrJKxq8CvCwww7btWckdPLoWCakP9d+rf9brvGQhzxkuNnNbja87W1vG370o53L/DORLgM2xAYCNg56wxveMNzylrccnvjEJ+4Wup48s8a4EStW+n+tGJ+/1mut557zjpXqZKOeeXzdjbrP3kI5xgmBUFu89oEH8iUveUl7gdo4/6JjwyQQOiD7ByPSS1/60t8Q26apvHHFuya7ioZxv3o8ecB3eet/k7CnfDk+6VlqGv+3bBg/V33W/D/+PSu4nhk8K7jnDfW5eWMsIGUHsflypPAcXwZsCIGoHIvnbFl4t7vdrW08u9Kg2xvIXwc48rBB0XHHHTecdNJJu645KTlPp/PaTKqV1xKKkNWo3/nOd9pOabanS8d0zkpwjFXd/W0GraME9Z5Jy4RJz1X/y//j37OC66lvaR4JBOpzv//9729v9beNxSc+8Yn230bUy1ZhQwiErme/D8xrw1kurXGFTVOJ8qfTiDFBAPe///2blOPN6UGuXYnAp82czQh3utOd2lvF7EvyyEc+cnjKU54yvPKVrxy++93v7uqYk0jEf55NPvEtomqV4Ytf/GIjIKSSc9dCRIsIz7PSM9X/V8s3LXLN1PGsrz8LpHwp28knnzw8+MEPbn30Pe95z25lnsfy7y02hEBEm1o8d4tb3GI45phjWiTeuOKS9hYGOCL48Ic/3Fb2XuISl2hkIN4kSAPWeyAcM4BXSVzucpcbrnjFKw7Xuta12ntprNFh7CI1ub5zxh3Ud5LKW97ylhZZyy3NxuP5vLHd/q4f+MAHmjrlXvPawdcLz5SU3541asWk47NEvX5N84JxmcQ+2YXPWBBclniQZekfG0IgBirXlX1PDapxpdbvewvkZEXvgQce2Ijg7Gc/+3DQQQc1iQfG5JH7aDhSivfQKNdrX/vaRgY+jz/++OZmZvSqgz/n+qT6eBGWlwjx63sukpWtCbzT114nJJtjjz22SSOwjCRS6wVsFEUN/NKXvtS8Dt///vcbkcA473qR601K84aUicTqrYsIRN9gqwN9YxkwEwIZN+I73/nOZnnmviXqw6wamrrwsIc9rLnG6JXXu971WpwJ8RBWIhBSy5Oe9KThpje9afMKiVEx0E95j8fOc6N61OvYfoCKYyd597QZdI0sNIiQ0HWuc532knBlqSpMLceywLN94xvfaJtDebOg5QpE9Wc961ntpWEGzvjZx/VAMkU873rXu9rsbKCdcMIJbQIiyY2JqNZnMP49L0iZlNnkZMKzFsyLuIN5LfveYCoCGT+472lcKgDRPq+srJbnWUCnTWezSRE7BonCdxiXLXDeve51r+Eyl7lMC+558pOf3AiFCvLxj3+8SR+eISniuO9I0NvHrnnNa7bNoLOfSQVphHSy77777srjXFipTIsKz/Wtb31reO5zn9vc9CRAxGq3OXVEHSSZ1ecHvyV1iyDe+ta3trqSH/kgId+PPPLIZhgXfKU/1XPH9Tiu23mp51qOT33qU23yefjDH94mwGDS8ywa1iWBTGo4A+dFL3rRcO1rX7vZCiLOz6qidCjeD3EmX/jCF1rnFSofFWbSfXTYT37yk60Rz3nOcw5Xu9rVmiRCeiE1HHzwwcPrX//6XbNmOjlQaUgcZhD5X/ayl+32Jvbcz4BASJe97GUbkRDnnbuMQLYkMoSBWE0YBsab3/zmJg2qZ//l+VNPGTA2mPJi6gQZMmzzVvCMkV5JiEjeJ7tUyDypYtJ/84BaJs9w6KGHtrf580gG81r2vcFMCKRWBA+Fhr/yla/cbA51sM0aZjn7jLC3cONCylLvh2zYLBCF/E94whNamPHrXve6NvNd97rX3RVuXI2o4LfObbDsv//+7ZnyHt96H7r/M57xjEYgbCE8NJk9g1qmRQbPwgMe8IA2STCWsw+pE5+kQ5KJOhs/P6QtqHq3vvWtmw2Keul8SX/hZieN3OhGNxqe//znN0Mk1PqeZ4zLyfj+2Mc+djjggAOaHSR9axkwMyNqKoyqwHV71atetYmodRaaBep1qBY2KXrgAx/YxMSgioY+dWSNiP3p29Qq5SLJIB4z4X777dekEPYMqBJIpBeSCx0/+zu4du7DuMs2c5GLXKTNwmbkSQNoGUBSYBS8ylWu0tzgr3jFK5qBmWfKAHnf+97XBn3qsIINgNpypStdqUkfyGgMkqDITfV9u9vdrt0v15o0+NIO6juu9LTLViDlSRlI5SYedSa40u+tLN8sMXMjqlmcrnfzm998+OAHP7irMWdVYfU67sX+QTwUUAaOjzsZEtBoyM3LkGMAlZfqIUqQFELl8ht0WNfxaTBoeHu6klRIPiFGcD2zKnWKZ4h9pXojlg3sTVznF7zgBZtUxv6BNHm4SBVU2JX2wED62utSl7pUm2i0CaTdfCICk497XP3qV28qTqS+cdvKL6lrE4JU22YrUJ8FlN1YoJaReLOwbhmwbgJJAwYs6CQCEaif//zndzVuzbMe1IZhAyEZkCDihXFMHrMYXZ1IbIBrNO5fxrlqCf/mN785HH744U0cJ3pXF6xyi05FIGZVe5oQvYntbByu6z4IJR4eq49Z3Z2nI8/qubcaniPPgkCoF+xJntm7jsXBkEb8j0hIcxn09VzGZurJxS9+8WYw9RtS38lrDw2eNiphtTtNGnj+U9fqPPW+lcgz5JkRooBDBn8TkMluWSaXmakwASOYSiKFZHaZ1Oh7Qm2ENAS4Vn4buF6TKeJVTEdAz6aa8LBYBcn3zibB4McGQjymryMGbkgzHbeza0Q9yX2QENeifAiGIcwAsUjKLEtV4W3S2YXuE+EZdBEpcoHxM6wHs7rOnlDL7LPWO4JkE7rkJS/Z7D7qwQD3SVIToEedYw+DWmYSHrKh/tz73vdubQi5B5AiuMVJfAhJu2hTqNcCv3NuTeN8WwnlQZSCGE12+mSk4EXHzAlERCi7hPDwSR1oEtIJkoJJvzVGYJCKItXJWP0D6sqzn/3s5jUx4FnBEYaIUSqGjvmYxzymuQuRh//Mhuwk6XyZIRj4RBIiHi5KxuGLXexizVAq3oHRUBmI81zXxFQiPYLJu3/TqafFuB42A+N71u+e2/oONopXvepVu2w9PrUDtcYSA65eqOeqV/YqfQTxM6KSGpLH51e/+tWm3mgn6uDXv/719r+U9pmE5NlqpBy1LGxrnoWayzAciWrRMRMVpg4QoqtBy2hUB9AkOFeH0vFqntoAuXa+y5/fWJ3qcNRRR+2ayYAUIU6EqIxIdGSdlDsWsVGvdGDqiMHuP4Miom/uDQLNSDJIStg8smEgdg2iqAFDCrrCFa7QZlUkw1jGoJiow3q9tSLn5Fn39vyNhOAv2/Vd4xrXaMbTSG3qysprA58EGu9JoH6pNVRI/UM/4c3hDTPZOEbtRdjaxYxNlYmXJ32hYp7qZRJSPhIU1VdfQSQx1i86ZkogiIDoyabA4xGWndTIOU+nch5iSD6f45R7hEAkHdZsxY7hXsnnemwZ7B48LvL5z6fOS73RacUiMH7qvJkFpZQB/I+cdHgzxwtf+MJmS6HWICaDyTMzHOr4xHOh7ewzOn2umeutFfLnWdTR3p6/kWCINhiQJbWNZ0s7MHzS89lFEMl4lkU0SBe5vvjFL27ufpIMIkk7mAyQO/IgIapTLve6m3/FPNXLJKR8CEQfQSBsRiTbZcDMVBgVpVIMMOKrGT1GtDEyOCal2iGQBV1RqsQhVcIJkkd+erTBBwag//eE8fX8ds3x+cnnM2lcJr8rMeb/tUJ+584jgahfrm3kQX2LzYtBmxTG2JwlDJCys3/oHwzWbE7O88megtDZqRCKhY4+2Zp4x0iIJglQr7Uu5qlegknlU2dI1bOqnxjrFx1TEohK2X1QaFizPdsC8Z7V+RTD12QxPP85Nx2j5jNjiRMwy0dCSN6Qhf/kI1kQdQ045OE7W0gGsLzERmpVjJtBvadP95InxFXvleQ3gpRyDynXcDzn5HNvML7GvIF0wZjK82KpOrd9BofJQ91BLTuDdOIhqITIg92IK56hFIEwrHLxUhURieMM2NoSXK9eM79rmoT6/2r5NgomAfYewWQ8dbEPLTqmJBCz8e4NYBAZ6KzvKohIm5nzl7/8TWmhIg2alP/MYmwYVr/GnuJ/gypSgd+W9hOpGTQNfP8jL2SS6/lOfBZuXf3wPpPAdZEfvz2jap4hJCL5bgDJR72pu6HluM/8ViakljxrRe63lUiZx+X2G9HytKlXrl11RlLIxAGph+TnqdFe3OLO4bESKOY6VBhGeGqMgD3qoFlbv9J+MC6L7/UeOVZ/S/LUdqkp+WeFeq18d2/PyoiKMBn2Z3nPrcI6JJDdoYIYwMxIZiGdYWcF7d5QK8HxNLLvBi5DKEs9UdZgdRx85jsJQEfD7O4dXXkM4jOXI7GboTcdsnYqILkQmRlgGfBqvlo2A8H1eFsYc8dEA8410xDP2YRCbvLlfqthrfk2EqlriVRBEqCq5hmVz7M7ljpAIKS92KWkXCN5JfkixeW7ADzSpHYk5ktsV7l2UoXr1nYc5/HdcddIG46P19/rxfjaoGyM+Lx3VLdtTiC/CY2jgujCjGOxMqujtVSUPLUjkDisWbnwhS/cgomqUS4dxT01hBd3C2rC7srg/4qUjY4ugEncxiQXq3wJYBLLIF6E5AC5J+joZhPkxmho3YcBkGfI9XR8JMi1i9wSQg9rqZOtRp7Hp3ZBrozHjJpRAx2rzyKfyUM9qvOx5JC88pE6SBeMshnYk8CNa3JCJinPOK/6J/WSLkmEaQOQ1291r9zUYhOAe+b4SveeBvVa+e5TfTAQk0CUYZb33Cqsi0BqBegoRFJRqPY9IK6CPEn5PQn+T6PrDGI8VPbpTne64WxnO1sjiRjSAh2Fx0PcwalOdaq2vsK6DAO3ApmxgNOp5UMkYhHGejodnVsYaZ3vfOdr6lhiQyq4J3kILnrRizZPhOAxpALp4GAmRajcv6zv6if3nBes1h5J4Llse0A9lQx8A9Jxx2rbkbbsFqcfVHdlzYeYecFMNrw34/6S7yQebcdzgZRqm9WEXAT6UXeVLffJcVBeJM6bRpVVVqh5Zo1cV3kSPyOx94TAFhkzk0A0rJlJ5xKNOM1ASWUTkcUXWAdhwJ/mNKdp1n4dM40O1AMBYBawyXehC12ozfQGfaCRzEqW2J/rXOdq+Qx6Ie0xzIHyIhVbA5zhDGcYTn3qUze1yKDPbAvykTgs7z/96U/fAsiobGbnCuUUXi8A7cxnPnMjLy7JOqD2tuMm/1rOW0ueMeq1awIDXki52A9eFESdOBd1nMGgTql2gszEcrBjRQoxiHI9KgpyRf4M76SQHMsnUmYfsaDOffWrSI6QfNrE7G4dTqKSx5IPeAZRoKJBlXEshSbfelGvU79b/iAaWh+z4rgTSIEGI67z6Zt5ou+nc0l+mwV8T8NOarRUNCmAanKOc5yjzeIWuyU4ybUY71jyz3rWsw5nOtOZ2vaGBiyiyYyGjMRpICOksM8++7RBbyWo+wQIgIvRhkNIRrr0pS/dJJIaEIWczJohLeQm7kEsRCU351DBPIN8ZznLWZruW0XXdNy1wnk5Z1x/9XfyjPNJY9RjK52nvaiK7EdnPOMZW/1ZFBZPQj3HzGrAn/a0p22DngclMQ/ygHpiRCWVuZ42Q7Zps+RjD2EcR77ajuSY9VWQT/lIFfJpM3apSUF82o76KpKYdMsVDZ5Pv8x9JyHXGGO1/+u9gWRE+jAxiUVyz0XHzAhEpzBQNfKd73yXtoKSncAMTkSlO/su9Fn0JnHO7KRD0F3pw/RS0oJAIyHjOoNZjA1Bp/VJjAYzFmu9ziBWwGpQS/KdY7m4a4HriXYknZgVRUk6B6FwKUYioDK5/nnOc552TBg8VUZjm910BB2N69J/SOsCF7jAcN7znrddzywaojEQPCu3JmlGXgOF5OOeUbEy6NaK2ilrWu1YTWNMyqNMKZcE3OTa1uZLyBBZsxNV2w+wUbFVUSXlO/e5z93ajwE8kwYwaJMmuGvlowraLyOSY8ogGE+7mkTkEwGs/qIugvsLQtPvTDQhat6xSCFA+jCxaBPkxsblWvK413hSm5SCtXwP6n/6oj7G5U2y2rYEsntF7fxu0Bx77Mt2qBr7D/vue9UmJvLpC3k2c5FMfI8Ridiv01jzYFZgO2Hn0PgGuUEnXoDHhLic2YXeTGQ1kM38Oozl4aQf6sz5z3/+1kl0Fh3DzOZ6yMDGx/RpBKCzIZYY08yUpBxExb7BE4PEdG6zm1mUns29iDD87/l0CFKGAaVMOiQ927Mx2JJoGFqRG3ISI5PObSAgQuTJUCjx6Ej5beb3yTBpppVi2N0ssD2RODyzdqEKejb2BuUHbZIFi0gVcSJN8Rx2L0u4u7o2efCsuRYblzakepAoM6iQkbbXBshDQiTaDNGkD2oTkqnykC7lM1FQgSP5gHOoLdpOHuTGTqPutYXrJU2DtZyrX+j7+p9nrQS3qJgBgUQs/fEORj9uh1h68x0M+1s7BuFjm/hvARuRP3uQ+k20lwxUMzcyQThE2rhtzSgkEbqymYj7SweieiAFahIJQMfRWcz+Zkkdzv+Ok26Is/LQtdlodBj31ckRkEFPrRA9y1ZhcR3xmtShTAY9ktDg/ieeG0CCp6w8tk5G9KXB5bquRQd3bcSi3Ax2nl8eec3SiIAERm2yHwkSRTrqw2eS3+rMYE0IuIAkBkVlksRVmNEksRhmZNKB5Lf/PafyryUhX9cglbk22w0pDwlrI94uRG0/VPn0Byqg8tkT9vKXv3yzEVFhGMBNHFEXEaFn4VkzKVBBfUc0iDr7sSBNhK/+qYvyaDMBaNTFkCg1RDu5D4nGCmHlJLkg6qjMnsmE5HpIXVu4lroc26Xkz3k+x8nENA08uwkkEsi2JZDdsbMyf/azn+wYKH893OOedx0e/4TH7ZgZ/qXpoQxVDGs1+d+nzqLjGfzEO0ZMxiUDH2nEbSevgUMC0TlJMVjcADW7G0Qa3oAkFejcOrlBaaBTX6zPMZvrFKQVA4LEIY+ZiXhuVjKYzVbuqUMnKhLhOaYjO4/6hNzMpmYVZXENg03HR2LOJbGwFRjMSNEMqCwIyoBDKPI6l+TkuXwaqPkdUrX4D5mR0qwVMRsjVAOU9EbSIwGoH4NFRzVIkKeB6ndNpKbxf+wRkvNdy0BUNoPYtZQZYVMnDEJErQ0zkNU10iQpIj4DFqkIEGMXM5A9m0Gu7CQ/Zfdb/SAtg5Sxk+Fcm3hW93Ge+jchmQhIvdQQRKT+xe4woqtT/YQbXjsia21MukQw2txzIRKSL4kPSFHaXj/UPlJIuibHEaJ2lfQDdZC+zPumr+nTpA7/kdRIaNpPPVaP0iJjHRJI0ikEcuKJbx7ud+h9h2f/6TNbJ9gbhPklpCHtvM9OnVjl06eRA5GXtKADCCKL7cFMQgohwspnsJq1dCi2l8w0Gtcgd9wg19l0VDYK5BId2yyhUxsErkG3lw8pmZmVleuXFGI1LpGcumRwKaMZmrFMR0GkpCFkZDBTt8zSznFfx0guBg57UexG+U568inJw74k+U7CIe4btDwlRHqSi13o6fruaXAjLqqIzyRi/KQkHy8JVzai8h/1z8Bh0+DVQnyITQQwV7bB7T+SpoFFmkGCyMfAJg2RPvxWR1Qbg45NjN3J4CadkeKokAa8ekcS7ou0tbn688wmGeXT1kiP3ckAj+Sov4QMTDT6TM6NOuP66o1Eg5S0Ay+JttPOSZ7Tp/9Tl5EWXcvEwY1swjDZqD+qtfKpDxIo4tI3I+VuWwLZid8kkLe//YTh0PvfZ3jGUU/bZVG3DmZahEjAAMw+mXRYhrxY0tMQSIsEo7PEZUvt8Zs4a8CDmZAaZAamp9OdzYBmI7NGiMvMIpRex2Z4QwpmUx1FxwflY9glHeigykWvd47BElehayIdrkb3olYpI+Jh9DVT6cTIy2dNypvENlATgyxipO+7F6mOqGxWpWIZ6KQJEgAvgIFogK6UPL80/p+h23UZLd0HYVAXSWMGFO+CuibtIDXiuZmYsZTkmL1ZDHSDm3SjTcCmTKQn5ENFpNIa6KQZ0hWJVNtqM4PPpCC/wSufScAAdT/SLc+NeyJO8SMkR0ShzuVDboiYhKNNlQXxcO0rP4JDFCSfSHjIIEk/Qa6ui0QQBsKTSF1IQx7PS9JBZO6BhLQ9UkWmXYXZQSC/+pVBaR9L0ZknDIfc717Dk578+B2de6enYedCutW9DSsdMzgNesd1XLOJwYAYdBqsT0SFOuiJuI7LR7owIxNjIflILWYJnVk+HdFsb0DK494a2KB3DMkYIHZ2J2bX2cM9zTJmQtcSH6IDRkoJiLHIwsCQj/Thep6r5psVYkdAIkhgVlA3BjUCJ5FJ6pFhmi2JhAcmkRixHaNmIFkDmSqUtkN6Bj3SRQ5IiUseWQsUjOSI/AxKJG2Qa1t1aSKgGiFbMLuT7lwDyVFxotZqE+VHkggC2SMb8Uv6lnKy3ZAqTQzaxqc2T/Kb6kq6lKLu+M/12ZskBM7GQvr1HCYjiwOVTb5OIJVAfs51+bYdKsy9h8c/4bE7BmL88DsJZBpkIOfTACSWG3j04WqICjGYpYmoBj3pggoSNSLXAbM3kRzR6GhUCkQQI1kGtP/MQsiD+EwXH5MRqQH5sKuQVIjyZrpIKcmng1NF5OOl0Jl4mDJA5NtTSn2slkD5kQYCMTgMvjz7NBhfv6pkyNBApIpVVRGQGMOhgSmfwR/VLnVscohE6Diylp9tqUqE8YKRVFxLMqN7Rt60PJ9ztCdii2cGSZhYou6SVOzrovz6EwJMG1M1EvWce9fnT8r/488kz6ffSb6rCxOGvotA9lbNn0esm0CGXxPIz3/+0+H97/+b4YGHHzo88UlH7iCQDArHp++4FciBvsnYRzTNAK3QcBrqPve5T5vBiNCTgoo0agYztYg+ngbVEdMZSSRUJzMZ4xdbwynq2SnXozLEgMvoyT5R8wX0doY0xEVUJ07X43vCnvLmuA7rXgaD+xDvc2wt95On5hufY9CbZQ0GA9RzI9q6bwcgE0RDupCP1GAmHrddXMUhB1IDw3ldluCe1CNGXUQtH/d4tVsBica5yEAeidrARpJ8nof6WyOUfSI7kkS93qyA5EIg7rFtCURf2pl0Kh0Fgfxk+MAH3js84IH3Gx79mEfsmKG44wzEU1anrhXjzhoYFHRHg53IOGkgg07LPUpPZe2uUkryKZNBLw/rPdE0x3ymzDotVyUdlm5rVlcOeXwmH3Ec0RCT87qCdJBcF9gRuHt1XGRUVaFZwr2J2sqMRBKvsVYocy33JHgWMz21g/TBoxKyTr2oe+pFJELSB49U1I3kY4zm9SIRkM7YVJRfHUPKwhbDJsHASmJAWuq6wj1JOIyhpAvkxoirDuozkWh4lEI07B8CIJVNPmXbUx2sBOeNz9XfEBQ7D6dAnn2RMbUEsrNuVJJKYC/4yY7B/b7h8AcdNhz5uEcPP/gB4+HORvjFL6ZviDF0UA0vMCkDeNzQBj2XLoOqvBnw4DPnkGh4FOi50cdBnuQ3EM0cib2g+uQalUDck5GSrmuAyJf71usht7e//e3N80CtmCXqfRCT+5DEDJ6I7hXJuzeo9/CMVAoSAdsEcg1Ze/Y8vwGuHGwLDJ+kD8cg9WfGV78GMRJhgEYqkPYCxmLGTtdyX99DRrVsnpdxk6eFAdeWCilbrqVtEQ1yozohI8ZskCflXw25Z8230n/6JLUMOZIOU45FxjpVGFBJ1rj8dIde9/4ds/nhzQbywx+eYtz85S93r8xpMW6QndfenTx81zF0FkknqHlyTv6XV/J/Us0n6dw6PfJKnhyT8ls+RETszv9JgTIl/gWBQT2+HtTrIDSkR2QmgSDSMaa9b85zD65nElV9+ZPjnj8D0L25YHkmstAteaScQ51jhKUKImHtAqlLIHVSPRAW1YwHp14j+WILIxG6ZjUi13ziPpQLifAsub5jKXvNOwmT8kz6roykXB4ZUghDc823qFg3gaQSfvGLn++ooI/tEGkfPDziEQ/b0Wn2TmReC9xrUqqY9P9KedKBczz/1++Tjiflv+QZ/19/j1GPr5RnPTAQxDdwIxrgVcJaL1JmA5xthTjuUz3keK1bxJs1UaSRHMvxAPEmzoW6MWkQ+88xbmmqEUm0XiNQNioDQzkbSULpkzefyuZaVBlu5dyrpvUg5ysPmxvPFbVvkkS4iFg3gZAudASzyhe/+IU2KxxyyM4tDTX2PGMtHWQWnWgrgEAEZYlPQSB1Xch6kPqYRACQ3zWPvmEAI4hIe/qGY4H/HBvnq9fJb8cM/LGkNwaJCLGRgHKv5Ms56slxEmFUoVkg1899SWvag0SkPaKeLTpmQCA71YCf/vT/mo6HXYnN7A8qLXlSofOCSWWZp/KtFwaPWAvRkzqsATcrpM0jIVSkneVJu8sXwqj/+R6Mz0u+cfL/pOtV1HzIS1nH+Xx33DF5fB9fZ71wvVzTWOA2FlbAM1hd3YuMmagwaQx6Ha+GtRCMU9i95unYWNR6RiA8UQhEdGRE+FnAYGSkNfAyMFdqX//LU1Pyr5bG+QPfQx4+Jw385KnEkTz5nvPzmeOzQO6R+wACoU6JiuZtiv1r0TEVgdTKznef9DoBVAjEiklW+hyr53TMHqnj1DMCMeNxGQqgyow3i3YwKKoEUu87CY7VgTxOge/yJW8+K3KOYyGAcR7wn+PjPDm/ppWuMS3G1wcSIMlD2D/PUSbXRcdMCQSrEpuxrAVQ0fNqRXZsDFLHqWf6PJ1b0BoCiQqz3rYY3wf2dL16zjhV+G0wZ0BPGtg5b5wmYVKe8X81zQrja/rkYeLt0R5c+KS3ZcDMVJhUFtchwx225SKDerxj41DruRKIqF1eGMfGs/G02Jtzx3kn3d93KVJDfs8C9Vr5Xv/baJDWrB3iwuWFsUbGf8uAdRPIGCqHCiNwiFEVNrvBtitqHVNhLO1H5iJjeRpqO9S8W4Hx/fPbzJy1I4uKPEuej/1DVC2XutW8AhcR+TJgJgRSK0vlWLxlYZQFQ0HNA+PfHetHrVM6tuAuQUtWCseNW1WEeaj/lCNpTCDzUMa9RX0eIA2KWWGPEtS2LGHsMHMCyRJyC9nG2+tX1HM6ZofUqVlPgBQyt4I4XpgQSEhkK+H+iEIficdkUtkWsZ8oc8rN/mSJg2X8lhVYGrGIzzQJM1NhUiHCtK2+RCAWl8V4p1OMsSyVOI9AIIx11EkkIuS71ve8EAjiiEs4to8xFrGfKHPKbfsHHjEbCnGtL1N4w8wIJARB9+aBsZWe+ANsCzm+6BW2KEAgDNp2ALvCFa7Q2sIaEp6xSIXzAP0CcaxEHouI8XPYU4ZTwYpu2z8G80Di68XMVRiziZWPVktaFGXVIYRAOjYO43Zg0Lak3YZJdvkiQtuLw5oPLvfYGbYKKW9Ny4Q8j1XX2Qjb1onBMjzvzFUYnzaa0VmJbJZod2wO1H1mNZ8WndkhjCfGzl2WrNvQB7FTb+zn0Yl99lD/GQ+AsEUE84aNVwUvOmZGIBX2xbDpi53DGPJ6J90cqOekgP5NbGYLybaCtu+zQ5cd7Sct8+9YHyqBUCWtLjah2vc19T0mmUXFhhCIADIbwuikDKkJae/YOIw7JBKxb6lFjdqAC9HuXAiESmMrR+5dUkjHbFHbgv2DU8E2hmxSbISwDOQBG0Ig1l2Y9ewNaleolfb9XJZKnBcgDe5arnQbTtsX1NoLW/bZYNg2gLYetDG1zZwF+pkhO2aLSiB2vGP7EIGaTZIiJS5D/98QAlFJAsoSOGMW7GSxMVCvvCohDsRtc2Iznt3hEYc9QW0ILT7HPqz2aiEVLks49TwBMTBO+wSLSq0NE/+h3kG9L8t4WBeBrFYJdp4SBWkTXQa7VCh0MpkNEAcbh4hfYrJ9WKgmDKbewULy8CIrLkSvTdAmNuHpmC1qf450IVFXrLy1B4jtEvM6kGVyWW+IBAL0b2/tskmuF0BltlNxnUBmA1KHEGmBYrwrvCxsHHZJ575V73aUt83CWNrobbAxqARCIjQGvLCKNzL2j612n88SG0YgCSjzlnruq/Fy8k4k6wcC8RY2OrZXN3qvifelIBC7fwuftsv4SoFjvf5nD8ShXpEE9YXtgxs9mz875nNZMHMVJv+pJJGPKtB7TC1nzjGfSR3TQd2pYwu1dE4rb70EW+SpVxlQY7z71Xth2EXsFmdJvwCzjo2HerZRs/awzWe8XSERWIb+PxWBZPAnjf8LbFRri0MkIh4knbfmmXfU55qncqc8OqTZDpHopGwdjKXemUISkbz5XlyOF3JZCYpIlkkPn0dY/ewdOIzXtjLMYsZlq/N1E0gYNd+TgBpz/PHHN2OqrQ6tw6jnzDvqM+UZ56XcK5UHkbD2kzq8LZ4HwKs7eWQsL7DBkP+9dIp7vXtiZofaFqJPrX3Jm/hqPU9qt0XFVASSQTWexXyvA06liTUgRlsLYPZbFClE+ZI8T/1vXpCypFy1bOo+Hhrk7R2yXoAteaO9KGGRkXv7ysuOlZH6Ny54HhlPbSC0LO+AmYR1EYikk7J1CF+vG/dKjlu6TBf0Or9jjjlmlytr3OHnDbV8noMhMrPIPJV9UjlIfohB/I3oRwROpeGlEYXKvZvQap17Xp5lEZG+kASkQC+B50KnvixzsN7UBKKyfIp4tH2hd6RyW8G4QuWxgIsxlcEvyPF5RZ4BcVi9igzz31aXfVwGsx4Ct/KT+mIjZfEH3LvsIJe61KWaUdWMaK9UW+xZl1FF6469Q+0LaQvtwPOV/s6NPk/bJ8waU9tAANMKlLn2ta/d9pugU0OOB/5nUNKBTzjhhIUypiqjQWZWN5P4PU5bgdxbhxVVyssiyvTwww9vtg4uXW/D9wZ7wWXq3+slrc0IEXasHybRJBCop49biS4GZNlXPO81geh4qZBvfvObjTi8/dzaiqgwjqeDg0oViacje9Gzd5YuEjJQpTxXTVsFpEZ1JCbb8dsmTta7nO1sZ2uSB4OpKFQGU1GofVHj7JF+kTFhISkjtahg++KQPrayj2w01iWBUE1YmhnkBM1UyaIOLhWsEyMaiTuxduZ5ruCUrT5TTVsJrkKzHV2btCEKNcv1Ga0d40ofYx7KviyofUE//+AHP9jWgD360Y8evvKVr+zKs6yYikAA44rtYGm2XX1dMDeuML+F8pJAiNTiQojT9fV+8tTUsWeoP4sWSRk2rLniFa/YjKTq2EpohjxxIV4wHXIH9VulxJVS8ub7ImOjniOSB3AQcBh4IwGJPLEfNc+yYWoCoUfzqlj1aaUhdQYmNZIKRBg8AWZKq0MZmEgtgpqCNPJGNPSyQR2pV7OeOkTgVBkbB4n5oMawg1iL5OXa1swgEnarCteQat1P+m/Rkeea9bOkrkC09RFHHNGkP+7zqDY5voyYmkDsvs7+cZOb3KTtOxH37CSowBDIGc5whl0Lvojer371q3ct9lqGjrpZGA9sdUyl4VI/6qijWgSkpfxnPvOZW1j7AQcc0IiEREKtiW7uvHR0v31Pyn8+FxHj+tHHZv0suZ5rv/GNb2zhCmwgmVBTh8uKqW0g9Lt73vOebbGc2S1b1U+CSiRtUGFCIKc+9ambqK2j6/CMgX1zm72HtkgHVc/qkCEPYdtAmURiV3aEbY0M8Zp3AJFw4yKKXMP5iCXkkZTrLyrybEmzQurFp/5rCYGFc/p61PNlqL/VMBWB6GCMooynZjYRpv5bCSrTW9Lo6Pvss08jEEFNV7rSlZqnwMzI+NT3qlg7dMqkdNI6OHxHEO94xzvaS53FgcTIKhLVTKlN8gJ0qB3djGoFtVTbtuZZFMyyzJOuxdbhfS/Gw0Mf+tBd74TWBpWglxFTEYhZToVRSe5+97s3F+FqFSQq0tvRdNxLX/rSTUdHJrbWw9YnnXRSu8ZYP+9YGemUk2Y40qB4D2swRJuSQkgflvqzi1gbY30SN6N9W3K+zk415V1DLiQYGxXZFFgsTyTE3Lvet36XD3k5hyjv3UDj99GMz18EpMy17D4F7+nL4pzUaaRxxya1zzJhKgJhtOOmusENbjA89alP3RX/sRKoO5hZwBnx2Wa+JA/bHVoro2Op6I2o7GVtPM9Vn813rnFRkN4HQy0UzHTRi160babs03oYEZLekpaXTMX2JLFFeQ0EIyBRnIeNjcvmRK5noCRvUgUCyopgiyjZBEiq1oUIcvvYxz7WCEs+aaMH16yvXZ8710YWnk/UL8eAgL4gefK5jNhrAlEZCdXVubirxvYPeWrn4GokgdghSwWbmWy2bNf25z73ubtiFeSfZWXnelLKk7ToyDNl3QsiNmCte+F5IXGIB/F54xvfuAXwGczaDuGHtFMfpIYTTzxxOOigg9rEEBfw0Ucf3f6zGTMXZVZU1wQIwbVJLTZyZg9wP6tSzcr2xDBh8NxZ8uB+9Xyo3+cNKas6S73lmUX/iv14+ctfvu2C9faaQMxYbB7Wv4i2IyaryIpUdpIObg0MsTodV2c1s0nsH667EUgZlhFsRtyFj3vc45pNg0p5gQtcoLlwr3zlKzdJAmmLwaFKsEXVushAAMTADewa1suQUEwM1I/nPOc57XrU1U984hPtPKjnuz7SsYGOAeXlYq5JLSXZ6CcPetCDmhFXeamsiwbP6pnz/Hlptpgb7luS9kb143nFXhMIstAhzC5EZeSQCq1IZcuPNFKxycvQJABKZCq3lxgFcF7StFjt/PVee57AzmDbSKoGj1aMpDZU5iF761vf2tpqjLSL5Ltk5mT7QCIGf4KgkA515KpXvWpTO5F96i+fpAkL+K5//es325bd0cb2LO1PPUJQvHGMu7GpLALSb2oyKdqPFoGIrvY86d/bBVOpMDqeyEbJ91RoRf5TofV7futQOiNx16Yrlp1H/Ev+aVDvo3wIzgY78Sbk2DKAKsKu4A1zpA1rYZCH9TAC/Mz0ooV19OxCBql/v1MnPg16sSTaIXmpRl4TwRVsb1vrmMZtw65BdREgyM7CMJ48PvOdKqu9qVXyM9guAvIM9VnUPfJmOLWVJKkccny7YCoj6hjjyh2jHqvfibhsKGwhEZvBcZ06+daKXDvJ9c3CDL0aOFJQji8y8gzqibTgJebsC2ZEnfriF794U2cYrv2nng1gaiSpIvU7TgHyZavwhkFSAzuItTVIZkzAgggZWZEXFcXEUJHrIiOqL6LhWl6URZWT6kh/QhzioBBJHAk5vl0wEwJZKyZVLqu9AU4K4TI0m9XOHaylYZLHpxmUXu7aZmOuSJ3fsUpOa7nuPGL8HNRENhHP7FnF1nhukoM383PdspMwXr/5zW9u5JD6GIPtQ2g8wyt1A3nQ9UkM7omI63lEd25fao78iCYSDCQvYuEZQmyWP2T7h0VBnkM9MC7blIlUxvbhmLrx3JPqdFmxqQRSobJBhXv9n7gEi/LYVaofvaaVkOOuqTOzDbCp0OlZ/0W72rfEoHHMQKvXy/n1v3lHnlf9pS4Dnhm2D/XK7iBG4ZKXvGQzrlJvqBm8NQa0vBWkEzYQkgLSsdzADEvKcE/3C4HU+5IeqSe2ETARTFraoCyMsewkCCeBg4tQ7ymjZ+YAsHiR7aNOTNuNPGBLCSQVriMJTNNZuf9Y6NM5HV9ro+jYSELwFE+APTLMiAaPaxPl2QWQVDXg5R5rvc88QFnVUdKk8hOrLTNgwxDAFyPrWc5ylhY1aUBH9Aa2DyHw7Ck2JeJ1UVekwkCbhbRyX0AYSNqg4m3hrckKYHUt1BuZIy8xQTVeYp6Rek79Cjkg3WUJRozUNd92wpYRiIpORzTwdTAdjxtQR6zb4K+1UVzn5JNPbmI6acYgMXDMvPYBZQ+wlYAZ1awR5B5rvc88QFkziCsMWtKXGA5eLruye+mUhXUXuchFWv3S3cV0kBpSD+qOQZa0QkoQvSpAyrUYog0cZBM3fNpOOdhVEAbPCpUR8SBq/8nPiGtjZ//bGY2KQ+wn7cw7ah2TjKl/9sBhw2HTUQ+wiH1oFthSAknjpOLNiPvvv3+THMZ7p67WMDmuMXkbGAvFPoi4FCHIBmBWFczmHpZdZ3aEnL/aPeYNtazqkBTHpuBNdZ6Tfo40Tn/60zfjJne5Ti/YrM6aSaQMMSMiVklsVJiEsptpxYKoU/nkr21HyqESmQBEGpudkZYgQd4vxl3BadzN9mp1TUZdMSZjpDzzgDynz0xyyFfEKTUGOSZfMC9l3yxsKYHUBgKzkhB5XhlbBJj5ki+pIv+5BvKQNDSRmW5vhhX9KD5BNCTjl4FmJsl9c836fRGgrJ4VYYr2tC0CFYEXhLSFNNkjqBQGtQ6fbQ0nzZrIh8TC6MqD45MkgggsemQgtX1DVA/1F7ADMI66p0V7CGvfffdtMSUIR4CZa7C/OO5FV4yP1M0xUp6tRq0bzyrilHRFFaZuxy1ey1u/bxdsOYHUhNEZ9kggOr5BHyNf8lTkPw0cQqhgRBRyj0CI9LXTB+NzFgk8WGZyahnSOMc5ztHWvTB+sjMwVCJR6sfY5pM6S+LyVvfPf/7zm5RgplV3pArX8luwlADA1HsSic852s07eX2yu1BpDDQeHETuf6oRNUm5s4RhXjB+roAU5dlJx6QPO9oDAg+JQD1nu2DLCKSiNhjbh6AyIjiRGwmATl4bqyLn1wRmXJIMd6RZWoPX44sOLlsD3pYKiIOB9DSnOU0zgFJjuGJjSwLPPSaO1AfylpfU57rEdbEObEoC8fxGHvE41CT4jPSIrJCJT2qia5H22FHUv//ZRbSpa8XbNi/wLLVegMRGekPSsc95Xkje7Yy5IpA0mo7nPTNWhNKjzY4aCoGs1mC5RhpW4yMRQVZmQgSSY7nXokL5zYwGrNncDC+AzO5jNg/y/bDDDmt2IIO2eltAHaQ+97YuUs9Jq8H1V8Le3nejoTypl0DdWRYgypeKh1yDtTz/smPLCSSNUBsjlnsDIF6TkMikBqvngnzIQhpDvmkHzjyhPrOZnG2Cykfl4CrNojp2EDE21rNYjo9IGZCdqw6Scq211knuv1r+1fKsdt5WQZlSF5K6YkAWiUt1IVWt9CyT/t8OmCsCqR2aqGwdh9W6olQZ6sZBT+NGG18rKo9kkDkfOeW/nLOIUO7Ule+ei1uUumCho1gFdcf4yX1rOT7PCgOgt6XxxKjjeo1ct6aKScfG/62Wgnq/eUItF4mNKs1mw4PHu0WiheSZx2fYbMydBKIRM/BFjbLkC6VmlKOLB8nrM6jXSAKel4985CNt4CzLm8LyrEkVJAweJ3aLl7zkJc19Sq3xygduWiHuxHFxH3Fnj68RrHQPmPR/zV9TxaT/5gEpE8nVLnkiaxGIlcbIuZZ5Hsu/FZg7G0hNBroZVRyB4B07mRkUIZjYNHyv1xmTh9WhPAqCmxjzloVA8pxJqQcgbVFZLK1nSxITwsgqLoSXRqQuL8m8GTI3E+kvge8kOTYzcS0M+YzUWTVc83bsxNwQSJDvPvOdUdXiJftR8C5EEkEkIRPIOfltcAh+EgHJLSzEXfBSji8yEEZ9dvBbSDk3o0hToftWi4rGJXnQ5dlDBHIhDwRTA+q2E8Z9BWJ7E+8iFolrWh0Fy9BvZo25IJAx0lB1ViWJCIdGIgxbvCsGDIxnXyB5II9DDjmkud9EUgqWkk/+ZYDnQAC8MerHrl/2BkGYgsBsacgrIwr1fve7X9tyjyGQfp96mFR32wGeOSmwvQApVyStuBdu7Bwf5+3YibklkKQMdoFQGpSXQdSjfSpEMoZEIPkNEEZXsy3JQ94QTgbNMoARVPwFD4vITs8qDN3u94yn9umkttHhDQ6kSu0b1+12ROog33lcxAxZP2X9EKNp1Dv1VPN3nIK5JBBIg6XRfBIxGbfopwyrFs1RZ6okQt1hPTcL2/+C6kPyyGCRd1k6AnWMjo44qCheG+qFXZbLC1+3LJ9kgmgCz64Oxvaj7YZKnsLtX/rSl7YwddGyJp9pFnNuRywEgdRGzBoX+qkYEfoqsRzEiogZYTQU/COEmtcl5/pcpkGj45sp2TSQJVuHV1mSQOxXoY7YOrhsK8n6Lm1nAslzU/9IcEIFeF0sNiTBpm62a/2sFXOvwowT6Py8MWIdvFrCEvGPfvSjLW6E+Cn+AXnoHJNQr7XIIEUgVO5u61jYhjy7dTGxf3DZ0uuzknaMZaiHlbCnZ7MWxxoXK7apxSYfqgyEYDtWx9xKICshMwN1Rhg3IymLudlDMvNasp8dseSX1yzMXpBXS9TO5fta0jxBeTxblSS4Gy2tt2oUkcaQSr1BLGJqEK11KNkXddlR208KkCny4KqlAh577LGNUNQJYo6K17E6Fo5AdII0LN3ezEr8tIQckRgkOkI6i0/kYU2IfTjf8pa37DKOpVO5npRzoP4/PjYPqGVP2XwiR4u9qHXsP9Q5u6BbbGe5vQHDdmR1snpx/rIjdRUgT5slUYFJaCGP5KsqXsfqWCgCyWBOw/Iq2CGKQVW8g4AzEkbNQxKxrJ37l2vOi5jMLiCPDpP86WTpSP6rM/w8IWUcpwCRMChT6wwUthGBZF5qjkj8ZxBVA+uyYVLdeF6TiG0H7FrnlZvqqaLmr987fhMLSSBA9yeuW6cg3FjEpY6QBpfYQNhCuDMZVVnX/ZfryOOzkoQEyTP+f16wWpnUje32kMfDH/7wtpJUBOo+++zTJDUrdXlphPcvcyDZuI5MHFQ4Uc2kVnEx+kPyTarPSf91nIKFU2HALCJoKvYPC8TqLGLQswdYnWqmsRaEFBKjquNmaBIMcdZ3JFI7kU+qjnPkcXyeUMsaqBfxHp7bXiq2EWRIRRoW07GDiBfh5rbPx3byNogjsvbHrm3Iw3YR2VJRHaT9IfWx7HUyC8w1gUxqSP55G7yI87CRDhdm3aNBZ6DP0mv59VnYfa+uTDO09Q5maMFpiCL3cT4YjPaCYJCVxznzBs+DBA0E4evZ1tDOWVy5yEP4OumLhEbiYED1LHnWcf0uIvIMKz2HPmO3eXumUHdFJQssjKG0G0ynx1wSSDpCGje/iduMpvR3HgbuSTaPCm44agvLuhBuGxJxc1ZwARPh2UXowMiidkID06I7r5jg1REbYKCOUc/ZCnhWwWLeLUxNu+xlL9tsHFbdUlvsp4IAeZ+QxjIOktS/Z8vz1fZAHt5OSBJFplz+9Y149byOvcfcSiDpFAazT0Fi9rnIwjiuSpvopLPIQ21BCIiBS9esa3aO5OGTbcBSdn5/BGRwuUbuQ10xUyMP17EzuZB5x+TL/ernpO8bDeUhRdmEGlFy19rO8HSnO117fYWNjOn7pDEq2rJCfauLcTLxUGvZOZArSZSqq73H+8NuVpstI+aeQMBMK8iHNED6EHYsRDvHdRbh6lagykN1MfPy9ScPkDy4chEQCYSrU2dKHuSBpNyDV0dgluuGgComdbp0xs3okO5hgJhdkYg1HN45K5Sd+sLeYeUyvd8zbla5Nht5Lm2Ydsq6KZKZemEDsy8KSVS+pI71Y25VmCRqi42AhGp7y1xeFVDB0Gmm8UoDK291lmpU1bHM1shD5CoDIxXFzJz7UGNEc5JwiP8kEIZG0NnsRiWt1vFquTca7uG5kB4JiV1I6Lq4DwvpkIhXKSDBBEgtC8Z1XL9TNdk7qG/Ig5fOZFJVXXUxvkbHdJhrAgEDxJvM7ElpRp30RnexHpaxc+f6jDsXkARJI+QhFsRamqgs8iEPJOUYI5ttA6g6iMoO4l7vSAJipLQ5ERWHepBk93NrbqIqbHTHTP3U5FmoeZ4NyeaFWlYvMzIvC4HkWcfPoz2pq+xfjMbIQ5trH8Sf9pZSZx3rx9yqMAEPCYs5LwNPCnVlDAZCuq08EVNBp7FBjNc62OPhiCOOaIPd/4HrEfPt0EVtYfOIe8812RLEDfD4EIWt1rS7meT9JjqrjmrR2njPzI3EaoNAJCr7z41vfONWNrPvog2YlHdcbm0bMgjUOwlTW4m0pb5RZ6v9K8TRMVvMNYFocB2AToskfB93guRBNMmjs1B96MFsHVQb1nfkEXuAPOIgrGYVT8KoSnqpe4xkkZq4iUgg4knEWSSZ8QSo2VbAtWErOqp75r4kKi5qYdpUsewDW/PMO1LWcfIc2kci8SEJq2mROdsWKVJ7MKjnmX1KuW7H7DD3BJLGTwdKGh9PHvCd/QJp6FSCp6gxVXoxS1tMRaoQaEVC4cGp7lr5qVDysrNIvtfEwIuIkJf8tXybDc8NCES4NgKxGXU2U0rZtqp8e4Nazkll5p790Ic+1NpYYJiwdHujsG15/kCb5Nlh0rU6psfcqzAauxLEuPHzn+ORHHxnwyBRiDgkiVRXJqMiiYJ7j67Ma8P4SBLxkiaqS+2Ea0HKkPJIm43cM3YjahfVzHtdUzdbUa61otbdOAWejTfN4khSB48ZKStSR5Dzat/pmD3mnkAgnWGlTjA+5rsZStQlNWQseVA7kIYl76QQRlGem4MPPrjNZsRgagsXbmAApiOmU+b3SmmzkXuyCQh+Yw8wuNRDlUDmFcpW61YKfKeKkRLt78rYLdaHraMSJIyfc56fedGxEASyJ6TDjNMY1BMzM9eeeBF2gqyPoYawd3j5kihXHhsuUKqQAVmvpzOvdK9J/20Wck/kyVZDPRMsx5tEAqskOI9QLmWsaodPpM9+JQSdSqp9SFaicLXf+Hn8ntdnXDZsGIFMasA0bE2rYS151gLX4OJkF+AO5u41wOKxyT2oLdy2NtflbUEixGSznlmckVT+pHH58rv+t9EY3x8MKsF21DMuaQPQQMyg3CrsqW4cq/WLCKmfbBvigNipeL1Ii9QY6kzaIdjT9Ttmi5kRSG0cHhGzno6s0wbyjJPZxsDlNcl/6UD5HcgrX66Z4+N849/KIZhIbASxXgdEKPK4j+smv2szjNoqgPiPRLh3LYsXA1L1bMi9cq36e7ORe3q25z3veW3ZvpB/ktdWl2uc6v+ToA3s9YLIr371q7c2sMM8dRMhqmtInXdsDdZNIOkEGpKozwpugPJ8mP24OumosUMkb84To8ANxy4hSKxeL50EDFzRlgY2IygkT84Bn5ltAXkI984MJhgtcR5Qr1FB2mCIFZTFwGowsvQzyrL+C1arRFbLMf69Wci9kLdyWpXrec3UsJllGSN1Ues7KTDxcKOLJBWPw8YhstjrORi3s4IWcq16fsfmY2YEYsCZHR760Ie22cKAs1cHo6T3siCR5DXw0vDe/EUsZRQTZxFJpJKAjmX2Z3FHSq4F42uB7zqZzuU8W/cJBFMWg6kuwPNZU/4LfDfbubfZz+I6rlHXYx+xJ8k4rB7cW7k2u4PnXsqkzhGI4KoQyFZC2dRHUgUXuLVNIn7F7VAx2W/UM28LF3wN0qtpfK2OzcVUBDJuRImNgNRx/etfv71SkURx3HHHtVmE2qAj0GnrOUCyYOiz4Q2VIes2pBCImce1Lce2opJUAfLUa4HvCIRRlJHt0EMPbRGZeTNd8uSc8bn1/5QBOQqXF+5ugZagM8+pg9trRBQkScrzZYZM2TYTuV8IxHPbLwWRzgNq/apX5MyWIYqXy119mnwsvSf52Y+F+lXbedzm+ezYGszEBmKAmT3MzuwMBpqGp8dSO3QMxksejfF6EedSS4iqVAXh6DWPjqaDMQiK20AK6USOTepAjgtPt4GMMpmFicYGt/y1E046H/zv+skLBiKiEL3qmhbeCZtGkjYq9qzUsEokW4GoMCJwvQ+4xsBsJdSlspAmSIIMvYzU6lBdCnoTgs+QzY5DGg20gfNre4Dv9XfH5mJdEkiALMwgV7nKVRpZkBgC38VVCGoy+ImrUM8nGSAYs48ZvYrcfP8G63777dfUBr+hdqZxeQx86gVxOK/AzPGQwrgjjlGvOc5nECiHDZoZK7mFs+eEYDR1kb04kM5K9/F/yrKWMk3CpPwIRF2x+bAlpM4nwflJwaT/xqh5VssXqDPtYLsE0oUV0WJxqIWiSXnIqCqIY4zxvaapp46NwUwkEARCtfBKRVIEkT6wOpTx0VJ8ak3Uj3QGoG7YOYydgn+fPgw6ChuGgC+2FJIKiQVyvqRzGqiO+e08KpWZLGHcQY6nE0prxTi/7yQS8SOIzwzKToNMBKV5BScJwDMYPJ7TfStSFmUcSzx7QspTE4RA2EAQaI2qTZ5gfC7U/1ZKKfdK5fU/MmCIJp16xQSJEGmoH/E2yiguhzRS1ax6n/wO6v8dW4+ZqTBmFmpI9uwwm1BH7P7FDSfZsyMzTO0IxH2Wdx2LykFSIb6aOc3w17jGNdr+DjUyNNBR3Z/UYqBUsqgYd8K9Hax7gvtT0bzI2us2ieWkJnYbOj0jrNdOkIwYgal3VUSvSN0kBfk+Pi5lMEMIhAsaMVcVpp4z/p3/KvJ/rr9SPtAO2tdSAO0pSpT7m1GUdInQ1At1L2/Kq9fKtcepY36xbgJJI5vxeTl0FCTAkGrJO++KN8bzyvDrm4WhdnifbAekD2TB4KlzcbcKW6Ya0ZfZFircN9dBQiuRwvj3OP+0GN/fQEV6VBdvzRMmb5NjbkjqDTUOmTAaex4zM6IlJTEmq5tIWCvBPccpz5xnUXdsIO6HzMekOj6/prVAPuVUXuVG7CRN0gRJQzuaDESNivilntrsiEtfYJhzqmqXe6cu8zupY36xLhtIbWCDR0fiiiUtMCwiEXYIg4dbjvEx9o1xp3c+X7/9PQUPce8S/ak1ZlIdNPdaCeMyrYbaWadFriEhkFzPp+dhLBTtaqm/Z2cbIcYnrsRzUc+oPlRAKl72NEGWyMh1QnZrLSvphu3DABZVO+0zOs993Z+0pO2oq9S2k046qZUXYfCekSx4pnjTGLzZgkSQkjSoKEiNhKhuKlJfSX7X8k5b9o7NwdQSSBo6yWzEcMhjwriog3HDiaGg78bDkhl2Umcxa4sJoQrxaBhUbB82xUnw2ErIdernpO+zRK4r1UEgjWEAegaBdtQ9A1vMDAOsREphUPSdgdExA9CsbWZHQOwJjLeC2LiVkQyCGdelwUqK4z6nRtTjqyVSAekAQUikQm2qLZSDWkS6MDGw8ZAuBOixcfGiIBI2HwZRz2kDqEkS1aR7p4zjZ+mYb6xLhUkj+9TZzKTIQqSmWUsnp/cznPHE2Fov4nQ6SRKYOdlJkIa4D6IvQqH6VEPgWpHr1nvMGrn2nlKFQWLwk7IYYKkyQu3FbPBIiF2h6nBxkuTEnbAjqF/1wq4gH/uQbQm8olIdsb8Y7K7lXNKAa/nfoPY5KeVchuAjjzyy7dyGwHwithg+SUsIw392eRMTg6CcK4gwhmJtP4Y68Nx7IjPH91bi6tg6zMSIqqHp8WZOYqxOS3pgQEUGpA/ibtyJq80yZlkDxXWudrWrtR3HXXulTjkPmFSOlcq20v8kCaTClkRyI6WwoVABkQFiZg8ipYjvYN8woJEs1znC4QFS1yQDxtvLXOYyTSVEAFQMnxKVEiEgJddV3wjDfUgtiSImWfhPYsuxRIE0RMI0GQgEm+Sm9jspmPTck86LyiSln3TML9ZlA6nfdSRuU2KuDmpncyRgxhIcRHxP3sxElUgk4OYlLjPESlbNEv9zXs27CKhlrc8wfvbUhwHkeYn+CFd9kOQk7m0zvW0IELJ6Eu2rznl5DHLqBVLwmeQ3g7bPHGOLoXKQYqxFck2SjH1QXNv6Ie1JZXJv5WAD0c7KVgd4yl6fJ2lv4ZxcL7875hfrlkBqg+tUiMIMpRPqlL7XXdJ9Tuok+W0A0cPFfIhozesZkifnLwrGZa3P6TNY67OpY4MYuUgMtVynDK/sFkiG98qnwU+i8ZuB22eS42wU1EbXoCJKrun6SKyWbxJS3lru+pnv02B8vY75xNQSSMW4s+h8rPU6ptkqHTH5aoIMnvqZjhxduOZfZNRnqc8z/j9pXjAuTy3j+NgskOvN+rods8VMCGStSEeradL/Y0z6b9kwroOteObxPevvScfy3/jYLLCR1+6YHWZiRO3o6Nie6ATS0dExNTqBdHR0TI1OIB0dHVOjE0hHR8fU6ATS0dExNTqBdHR0TI1OIB0dHVOjE0hHR8fU6ATS0dExNTqBdHR0TI1OIB0dHVOjE0hHR8fU6ATS0dExNTqBdHR0TI1OIB0dHVOjE0hHR8fU6ATS0dExNTqBdHR0TI1OIB0dHVOjE0hHR8fU6ATS0dExNTqBdHR0TI1OIB0dHVOjE0hHR8fU6ATS0dExNTqBdHR0TI1OIB0dHVOjE0hHR8fU6ATS0dExNTqBdHR0TI1OIB0dHVOjE0hHR8fU6ATS0dExNTqBdHR0TI1OIB0dHVOjE0hHR8fU6ATS0dExJYbh/wNK+LyrDfHzlgAAAABJRU5ErkJggg==)
physics-General