Physics-
General
Easy
Question
The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity
and 2
and thickness
and 4
, respectively are
and
. The rate of heat transfer through the slab, in a steady state is
, with
equals to
![](data:image/png;base64,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)
- 1/3
- 2/3
- 1/3
The correct answer is: 1/3
Let the temperature of common interface be
. Rate of heat flow
![H equals fraction numerator Q over denominator t end fraction equals blank fraction numerator K A increment T over denominator l end fraction](data:image/png;base64,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)
=![fraction numerator 2 K A left parenthesis T minus T subscript 1 right parenthesis end subscript over denominator 4 x end fraction](data:image/png;base64,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)
And
=![fraction numerator K A left parenthesis T subscript 2 end subscript minus T right parenthesis over denominator x end fraction](data:image/png;base64,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)
In steady state, the rate of heat flow should be same in whole system ![i e comma](data:image/png;base64,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)
![H subscript 1 end subscript equals blank H subscript 2 end subscript](data:image/png;base64,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)
= ![fraction numerator K A left parenthesis T subscript 2 end subscript minus T right parenthesis over denominator x end fraction](data:image/png;base64,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)
![rightwards double arrow fraction numerator T minus T subscript 1 end subscript over denominator 2 end fraction equals blank T subscript 2 end subscript minus T](data:image/png;base64,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)
![rightwards double arrow T minus T subscript 1 end subscript equals blank 2 T subscript 2 end subscript minus 2 T](data:image/png;base64,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)
(i)
Hence, heat flow from composite slab is
![H equals blank fraction numerator K A left parenthesis T subscript 2 end subscript minus T right parenthesis over denominator x end fraction](data:image/png;base64,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)
=
(ii)
Accordingly,
(iii)
By comparing Eqs. (ii) and (iii), we get
![rightwards double arrow f equals blank fraction numerator 1 over denominator 3 end fraction](data:image/png;base64,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)
Related Questions to study
physics-
A solid material is supplied with heat at constant rate and the temperature of the material changes as shown. From the graph, the false conclusion drawn is
![](data:image/png;base64,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)
A solid material is supplied with heat at constant rate and the temperature of the material changes as shown. From the graph, the false conclusion drawn is
![](data:image/png;base64,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)
physics-General
physics-
The energy distribution
with the wavelength
for the black body radiation at temperature
is shown in the figure. As the temperature is increased the maxima will
![](data:image/png;base64,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)
The energy distribution
with the wavelength
for the black body radiation at temperature
is shown in the figure. As the temperature is increased the maxima will
![](data:image/png;base64,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)
physics-General
physics-
A metal rod of length
has cross sectional areas
and
as shown in figure. The ends are maintained at temperatures
and
. The temperature at middle point
is
![](data:image/png;base64,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)
A metal rod of length
has cross sectional areas
and
as shown in figure. The ends are maintained at temperatures
and
. The temperature at middle point
is
![](data:image/png;base64,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)
physics-General
physics-
The coefficient of thermal conductivity of copper is nine times that of steel. In the composite cylindrical bar show in figure, what will be the temperature at the junction of copper ad steel?
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)
The coefficient of thermal conductivity of copper is nine times that of steel. In the composite cylindrical bar show in figure, what will be the temperature at the junction of copper ad steel?
![](data:image/png;base64,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)
physics-General
Maths-
Which function is shown in graph?
![](data:image/png;base64,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)
Which function is shown in graph?
![](data:image/png;base64,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)
Maths-General
Maths-
Which function is shown in graph?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPEAAACoCAYAAAAxSgg2AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABLxSURBVHhe7Z17bBXXncd/9vUDgw0YP8AGzMNAEwwGQojKEoXEDSE8d7dJFjVtoxapu9msGjVBWnX/yCZZoUhpmkotShVV0SpLSNVEsFEeZEkkwIAUEhBxbAzGGJv4BbHx+4HfZuf781ywMYQ7vr6eOb7fjzTy9dy55/7mnPM9vzNzz+83EdcshBhLf1+f9Pb2ikREii8qSnyREfY7t6a/t1sifFESYR1PxgcUMSGGM0TEGNE7Ozulv7/f3kMI8RrR0dESFxdn/3eTiNva2iTKmpJhI4R4j56eHt0mT55s77lJxC0tLTJhwgSJiYmx9xBCvER3d7fOlgeLmHc3CDEcipgQw6GICTEcipgQw6GICTEcipgQw6GIw4SampqB5Zlk3EERewiIrL6+XiorK+09IuXl5boIZ/AqOhxTW1urvxf6aW5ulqqqKvu/4Xz88cdaDhl/UMQeoqurS7755hvZs2ePihaifuutt6SiokL6+vrso0SKi4vlwIED10WL9TqnT5+Wffv26etbcerUqSGiJ+MHithDTJo0SbKystRjwtPCC0PI6enpul7Wz4oVK6Sjo0O+/fZbFS1et7e3y7Rp03QgqKurU2+N7WZwXGtr6/WpNV5jHwaNq1ev6mexNTU16fsYPPxlYeO6eu/he8nCfq0dAOumfT6fvYeMNZGRkVr/n3zyiZw4cUK2bdsms2bNUvFAUBAtlsWeO3dOX2dmZsrFixeltLRUVq5cKdXV1fL+++9LXl6efPHFF3L//fdrmfv375cHH3xQvvzyS/XK06dPl/j4eHnvvfekoaFBkpOTJTc3V78X71+4cEGWLl2qA8rrr7+u3/f111/LsmXLJDY21raWjDXoAxiAB7cBPbHHmDhxoooRwoSHXLRokQ6sEBWmzIWFhbrGHfvxt6ysTIULjzp//nxZsGCB7NixQ7Zv367ra0tKSoZMsf2DgR/8j/cLCgr02C1btsjGjRt1VgBRY2DHMc8++6w8//zzkpCQYH+SeAWK2IMgCGXNmjXy6KOPXp9GX7p0SafP2DDtXb58ue4vKipSUSYlJen/8Mg7d+6Ul19+WV83NjYOEfGtwPsYMHDtffjwYTly5Ih+BwYUDATZ2dnywgsvyN69e3XqTrwFRexRIGQIOCJiIFPHAw88IFu3bpXNmzfLjBkzdEoNb5mfn6/CguhxowtT6E2bNsmLL74od999t352MFOmTFHvinA2eHBMpQHKgyd/8skn5ZlnnpGnnnpKxQshP/HEE1re0aNHVdzEW1DEhuCP88bmF/bChQv1L35eSk1NVW88e/Zs+fDDD2X37t3qoQcfD+677z4V8DvvvCMfffSRihjXzPDsM2fOlDfffFN27dql18q49rpy5Yq8+uqr8sYbb0hGRgbDVD0I44k9CK5BMb3FDS5kcBgswsHAo+LGEzw2pr34nP9ONT6LDe2JDYs9IHKIGneeIVC8D6HjfXhceFl8Ht+H43D9i+6BKTn24Xh4coieuMOt4okpYkIMgkkBCBmHUMSEGA5FTIjhUMSEGA5FTIjhUMSEGA5FTIjhUMSEGA5FTIjhUMSGgiWXWD6Jtc8MSghvKGJDQZjhoUOHNGoJGUBI+BL02mksoL/dAv2xBqcSLrYgCgnpcpAcANFM/ogmLxNO7eME2ILgkkAY9QAIfBTRMTjeCxWCExwcg+smGNwCbZiRgKR4aWlp+hrT6g0bNnimU96OUNdJoKDfIhzTC4E+sAX9FumSAmm/kIgYsawIT/NCB0IIHkLqvGALOsng5HajzbvvvispKSkafohwxMcee8zzIg51nQQK+i3uIyCpgts41RCjmMYRSN2DAReNv379es8LmIQOithQkJ529erVsmrVKs1aScIXithQ4HkxNb05/Q4JPyhiQgyHIibEcChiQgyHIibEcChiQgyHIibEcChiQgyHIibEcChiQgxn3Ii4p7dfunr65Xo0xwjAZzu6+qSvP5hSBmzp7B547u9IwSevdvZJ/21sQbDKd999pw88u11SAHy9lhGEHeBGOfaOEaLlWPUbjD2wAW0UrC3dPdesLbj+4hV8L1nYrzVbBJbxOQkXw2ewEN+tpX/o5I2tPVJ4sUVKqtos26Nkcly0REY6s6en75qUXmqX/NIWaW7rkSnx0RLti7TOyz4gACD++uZuy5ZWLSvKqsf4uCjHtvRatpRUtsk3pc3S1tEriQnR1nlZttjvAzy1Hw8dR0QL1k7fvH662xpIiitbpcA6Hwhw2uQY8Tm0A2g5FW1SUNYsHVY5iQkx1nmNoBxLMEXlLXLm2zYV8tR4Z+VA9xikiypatX47u1FGtGNb0EbVdZ2Sf6FJapt6ZUKMT+JifRLp4tJVJxpCOCcehhcbG2vvGYVQRDwxb3BY1FiDDvrJ8Vr566Eq6wSvycJZ8fLLRzMkYZKzkLeWqz2ya1+ZXG7otBpU5Nc/zpT56ZMcdfwuq2Mdya+T/cdr1NssmTdZfvrwbImfGGUfERjN7T3y+7+VSKM1mODr//0ni2Rm8tBG/vz/PpLJCRPl71b/0JpPRUt/xI1GBXXNXVYZF6Sts1fLePEXd0uSJWSn1Fvl/M4qp90qB4Paf/x0kaQmDv2uO4F+gsHtNeuc2i0Bx8VEyvP/tFDSplnlBCge1OclS3x/2leqg0CCNTju2LZAkqc4swWf3ZtbLSfPNVrfLbLxvunys3UzJcFhG40m0F1iYmJAIg5JPPHly5dd9cT1LT3yh/+tsrzwjSfYo2Fjoix7AjXJqgF4nDqro/mBBx3wovaOAMAgUt/SrZ7UT8rUWImGLQGC1sB0fLAt6GCTJgy1Jbr7O/H1NkhH6xXp9iVLbHKW/c5AGfB8sMXPFGtQmzjBF6hmFJQD79dwczmW54pwUC9ajnV50dA6tBz1gAGWgzIwjW6yBjY/8MQow8k5oW2uNHVpeSB5Soy89PMMSZ3qToIAaAiiRIIH10TsdlIAdIw/7i21RtYmnVpPjPPJq/+c5ciLomEx/f3tm2ekw/KmPmuK9vjadGtzNkJDeP/1P+fkQnWbXrNNskTzh39bKrNTJ6o3DATYct6aBv/2L2dVQNGWLb+wZhYbfjhDy/ODKRgSAhw+fFiTITz++OPX26Cn95peXvznf5+1BqdrWsa//v08ybknRTt9oGAwweXFy28X3SjnH+bLQyuSVciBggHy6/NNsvOdYmsqaJVjDWqwZ+3yZB2cAgHT52MF9drWuPSJjY6Q3zy2QFYvmRbwOaGnX67vkB1/LtTBALW1YHa8vPDUDyTFoUcfLZxq6FYiNv6aODY6UrLmJljXxd2W942UX26cI1nWNDbaeh0ouGaFQOB5G6zr61V3TZVtObPUWzg5rQnWNHH5ginWtVa3VZZP/mXLPJ3eO7lugy2wA4JpbOuVNUuT5McYTKx9gzl48KAmycNDyLOzszW+2A8Gr4HBJ0Jar/aqWP7xgXRHAgYoB/cG0PlbrcuNnBUpsmUNBhNnU0+Ug2vy3t4+azp7TX5kDSYbrUEJ5xkouCeQas1qMAhgoF1vTYPXrZqus4tAQVtOiImSH2TE62XTnBmT5Feb50paUpzWu1u4fk3slfQ8sKW9HSlXRp6eRyvCro1gTgc16k9FM9JybrTKrW0Z1Gy3Pd+BQwaOC6Z97mRLoHR3o04GBpdQ1UsgjEZfGS2camhcp+dBBQTbHvg4ygi6HLuMYMq5UxkD5zuw3Y6Bz3//MYEwUM7AFgwDZQTXTn47gikDDJQRZCEeYdyImJBwhSImxHAoYkIMhyImxHAoYkIMhyImxHAoYkIMhyImxHAoYkIMhyImxHAoYoOpra2V0tJSXXtLwheK2FCwEL64uFiOHTsmlZWV9l4SjoxKZo+EhARPLCZHrimE5nnBllA/ULu8vFw9cGtrq2aFWLx4sf2Od/HSQ8Y7Ojr0gfRuA1v8bRhIvw1JUgAka/NCZQCcYKC2hxrEfTqJy3ZKbm6uDp6ILcUT75csWWK/411CXSdO8FJfgfOZMWOGeyL2SjwxQIYLDCjh4InPnj0rVVVVUl1dLfPmzZO1a9d64ry/Dy95YggHg5/bONUQRTyGjFWHRcpanG9ycrK9x7tQxMMZDRHzxpbhpKSkGCFgEjooYkIMhyImxHAoYkIMhyImxHAoYkIMhyImxHAoYkIMhyImxHAoYkIMhyImxHAoYkNB+BqCHxAKOmj5OwlDKGJDQeBDWVmZFBUVaTgoCV+CjmJqaGjwRFIA2IJAby8kBYAtiPPFs55DZUtFRYXG5yIcEW22atUq+52h+Js3HOokULzWVzCrwvOlA7ElJKGI8AL4jNuVAbwU6B3qAHiEr0HImE6npaXJwoUL7Xe8C5MCDAcagiiZFMAmnOKJ0Vb4jq+++ko93NatW+13vAvjiYfjVEOMJx5H5OXlyYEDB7QTmJCah4QOeuIQ4RWv4yXoiYfjVEP0xISMQyhiQgyHIibEcChiQgyHIibEcChiQgyHIibEcChiQgyHIibEcChiQgyHIibEcChiQ8E6cWT2QDz3oOXvJAyhiA2lrq5O44nPnDkjlZWV9l4SjoxKZo/4+HhPRA75szV4AX8Wi1BRU1Oj7VRYWKjRQTk5OfY73iXUdeIEr/QVaKitrc39zB5eSXPiz9bgBVv8WSxCaQuyepw/f16fT5yZmWnvHYq/ecOlTgLBa30FAwoze9iEUzwxZkBHjx6VxMREuffeez0RG3snGE88HKcaYjzxOOLkyZPqiTEVKy8vt/eScISeOEQws8dw6ImHQ09MCKGICTEdipgQw6GICTEcipgQw6GICTEcipgQw6GICTEcipgQw6GICTEcipgQw6GIDQVRTCdOnNBQRBLeUMSGgoXwp0+flnPnzukiehK+BB3FVF9f76nMHrDfC7aMRRaLzz//XPr7+2X9+vWeOOc74ZXMHui3iATyUmaPpKSkEUcxBS3i2tpaz4T/dXV1eSJbAxiLDnvw4EHNlrFu3TqK2AHotxBDbGysvcc9YAvCIlNTU90TMeOJb02oY2dxrsjsAWE89NBDOhvyOownHo5TDTGeeByB3GYQLhoTr0n4Qk8cIpjZYzj0xMOhJyaEUMSEmA5FTIjhUMSEGA5FTIjhUMSEGA5FTIjhUMSEGA5FTIjhUMSEGA5FbCgIu6ysrNQNr0n4QhEbSlFRkWb1OHv2rL4m4UvQARA1NTWeecA1FobDfi8Q6tjZ/fv369Plcc5I1bN582ZPBH58H16JJwZe6isI3Jk+ffqIAyBGJSmAVzoPAuR9Pp/9n7sg40ZkZOgmOrm5uZKSkqJTaUTB5OTkeF7Eoa4TJ3ipr0BHriUFIO7x6aefanoZhPehCR955BHPi5gED0MRxxHp6ek66ELEc+fOpYDDGHpiQgyCnpiQcQhFTIjhUMSEGM64E/GgS3xCwoKgRIw7o3v27JEPPvhALl68qD/muwXEW15eLs8995xUV1frb5JugN8fy8rKZN++ffLKK6/o7+huDCw4/8uXL8uuXbvktdde0wUFboF+gTpBP0GduGkLQBvl5eXJzp079ekLboE2Qrrht99+W+umsbFxRH1lxCJGwxQWFkpTU5N+Me5qu/kzBxrms88+09Sfbi4owAKCOXPmyKZNm/QHfNxNdEPESMl6/Phx2b59uzz99NNy5MgR3ecGWKWFOsHjZmbOnOlq+6AtUA+nTp3StnKzz6JvnDx5UusHT6PA7/4jscdxbeJRKXiIFzpFRUWFZGdny/Lly1XQuPU9lmC1UkFBgRw6dEjtWbNmjWs/j6FjoEGOHTumIywGNcxUkODdjU6LQa2urk6XxMKG1tZW12YnAHWADjpSbzNaQDhnzpzRp2a4vWILbXTlyhV5+OGH9SejkpIStc8pjnsXkn9nZGTIsmXLJC0tTUWNRvGvHBpLMHplZmbK0qVLtYOWlpbqOuLi4uIRVUYwwJa77rpLBzV01t27d8uGDRtce7wK2mnWrFk6na+qqpLFixe7NsChX2DaikuMbdu26QDnFrAF6yEQOIKHASJ4BH3XDTCwYeYI5xeMA/S9ZGG/VkHCtX/fCIUOig4C14/RA9fCqIyVK1eO+VQWtqBj4qkPycnJOlXDNB8zg7G2Bd8FIaNuUCe4Pkd94ml3I50mBQPacOrUqfoM40uXLsmKFStcsQPA42DWhg2zJ7QXtrFsHz/4TvQVrHhDX7nnnntce2oIbIGG8vPztb2ysrLu2EaoS9g9+GFwQQdAQMAoGBXj9vQEwBOjYtyKlvF7Hdy8wWuIGMJ2o5NgdoIoM4AoGTdEA2AHLjcwpQcYXNy+hwIwtXf7HgoEiSk1RIl6uZMtmGHevGKLyy4JMYhbidi9IYgQMipQxIQYDkVMiOFQxIQYzpAbW7h7iDvMXsmDRAgZCn7TxoY72X6GiBi/4Y31IglCSODg5zo42tv+xEQIMQ9eExNiOBQxIYZDERNiOBQxIYZDERNiOBQxIYZDERNiNCL/D9FDTihbZi+aAAAAAElFTkSuQmCC)
Which function is shown in graph?
![](data:image/png;base64,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)
Maths-General
Maths-
Which function is shown in graph?
![](data:image/png;base64,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)
Which function is shown in graph?
![](data:image/png;base64,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)
Maths-General
physics-
Five rods of same dimensions are arranged as shown in figure. They have thermal conductivities
When points
are maintained at different temperature, no heat would flow through central rod, if
![](data:image/png;base64,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)
Five rods of same dimensions are arranged as shown in figure. They have thermal conductivities
When points
are maintained at different temperature, no heat would flow through central rod, if
![](data:image/png;base64,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)
physics-General
physics-
If two metallic plates of equal thicknesses and thermal conductivities
and
are put together face to face and a common plate is constructed, then the equivalent thermal conductivity of this plate will be
![](data:image/png;base64,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)
If two metallic plates of equal thicknesses and thermal conductivities
and
are put together face to face and a common plate is constructed, then the equivalent thermal conductivity of this plate will be
![](data:image/png;base64,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)
physics-General
physics-
The graph, shown in the adjacent diagram, represents the variation of temperature
of two bodies,
and
having same surface area, with time (
) due to the emission of radiation. Find the correct relation between the emissivity and absorptivity power of the two bodies.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMgAAADYCAYAAACujqwFAAAQMUlEQVR4nO3de2xT5ePH8U8FXBnDHjCYIn/QJZKVaLCLEDqFrAMZHX/QzhACQtwmBFBIRpMRt4REMJCZ+EfBQLhE2QbqjCYba0RqhLVizKpCuplMxtCsk7ARwbEb7Ewu5/vHfu2PyfawS09v+7ySJbbrzvMk5s1zzunpqUZRFAVENKSnoj0BoljGQIgEGAiRAAMhEmAgRAIMhEiAgRAJMBAiAdUDkWVZ7SGIVKN6IJs3b8aBAwfUHoZIFRq1LzV59tln8fLLL6O2tlbNYYhUoeoK0tTUBFmWcfHiRe5qUVxSNRC3240HDx4gKSkJPp9PzaGIVKFqIC6XC/39/ejt7YXX61VzKCJVqHoMkpycjL6+PgDAwoUL8euvv6o1FJEqVFtBfD4fkpKSQo8bGxt5HEJxR7VAvvnmG/T29oYe8ziE4pFqgZw5cwb3798PPe7t7cW5c+fUGo5IFaoEIssympqaBj13//59nDlzRo3hiFSjSiBerxfJycmPPR98X4QoXqgSiMvlQnd3N4CBY49gLDqdDm63W40hiVShWiBPPfUU1qxZg0mTJiE9PR0mkwm3bt3C+fPn1RiSSBVhD0SWZSxevBgNDQ34+uuv8fTTT+OFF16A3+9HZWUldDpduIckUo3qFyvOmDEDNpsN5eXlag5DpAp+YIpIgIEQCTAQIgEGQiTAQIgEGAiRAAMhEmAgRAIMhEiAgRAJMBAiAQZCJMBAiAQYCJEAAyESYCBEAgyESICBEAkwECIBBkIkwECIBBgIkQADIRJgIEQCDIRIgIEQCTAQIgEGQiTAQIgEGAiRAAMhEmAgRAIMhEiAgRAJMBAiAQZCJMBAiAQYCJEAAyESYCBEAgyESICBEAkwECIBBkIkwECIBBIiEFmWoz0FSlAJEYjRaMS3334b7WlQAkqIQFatWoXCwkLU19dHeyqUYBIikLVr10Kv18PhcDASCquECMRsNuOPP/5AeXk5I6GwSohAtFotrFYrPB4PysrK4HA4EAgEoj0tSgAJEQgArFy5Et999x0MBgPKyspQUFDASGjcEiYQq9UKr9cLWZYZCYVNwgQiSRLMZjPcbjcAhCLJzc1FZ2dnlGdH8SphAgGAvLw8VFRUhB4zEhqvhArEarWivr4eN27cCD1nMpngdDoZCY1JQgWi1Wpht9vx5ZdfDno+GElOTg4joVFJqECAx3ezgkwmE0pLS5GTk8MDdxqxhAvEZDIBwJBvFlosltAxic/ni/TUKA4lXCDA8KsIMHBho8fjQUlJyWO7YkT/lZCBbNu2DadPnx50sP4oSZJw9uxZ1NTU4MMPP4zw7CieJGQgwx2s//c1lZWV6OrqiuoZrsOHD0Oj0UCj0aC9vT30vEajQXNzc1TmRI9QVCZJkpKXl6f2MI9pb29XDAaD0tfX98TXVldXKyaTSamrq4vAzB7X09OjAFBqampCz+3fv1+5ePFiVOZD/y8hVxAA0Ov1sNvtOHr06BNfa7fbUV1dDYfDEZVdrpSUFCxZsgTXrl0LPafT6fDKK69EfC40WMIGAgBbt27FsWPHRvRag8GAuro6dHV1ReX9klmzZoX++9KlSzCbzREdn4Y2bCDB/eLhfrxebyTnOSZGoxFGoxGnT58e8d+UlpaisLAQGRkZoeu6ImHmzJnw+/3o7e3F5cuXuXrEiCEDaW5uxpIlS9DW1gZFUTBv3jzs378fiqKgp6cHS5YswcKFCyM91zF5//33sXfv3lH9TfCzJQcPHkROTs6wZ8PCKT09HR0dHaioqMDGjRtVH49GZshAfvnlF3z11VeYPXs2mpubcfXqVaxZswbAwP7y1q1bkZKSEtGJjpXJZILJZEJ5efmo/k6v1+Ps2bMoLCxEVlbWqP9+LG7evIm8vDzVx6FReNJR/KlTp5QRvGxY0TqL9ajRnNEayu3bt5X8/HzFbDYrly9fDvPsBtTU1ChtbW2qbJvG7okH6ceOHUNRUVEEUlXPaM5oDUWSJJSVlYWuCnY4HGE5iF+6dCmam5vhcrmwbNkyzJ49e9zbpDAT1RM8P+/xeMZcYCysIIoy/lXkUU6nUzEYDIrT6RzXdgAoubm5Sk9Pz7jnROoQriC1tbUAEDcH5CJ6vR6FhYUoKSkZ97Z27twJv9+P1tZWPPfcc8MeN3i9XmzZsmXYOz8qioKqqqq4OZ6biISBuFwubNq0KWH+B27btg0+ny8stwWSJAlOpxOvvfYaTp48iUmTJmH58uWDznhJkoQTJ05g3rx5aGpqGveYFAXDLS1DXf4wFrGyixXk9/sVs9kcll2toJaWFmXp0qWKRqNRACjz5s1Tvv/+e+X27dvK008/rQBQZs6cqRw/fjxsY1JkDLuCfPzxxwCARYsWRabUCDGZTFi5cmVYLykxGAy4cOEC7t69i23btiEQCGDFihWYM2cOHj58CADo6OjArl27YLPZeLPteDJUNQAG/Rw6dGjMBcbaCqIoitLX16eYzWbF7/erNsann36qTJs2LbSqBH+mTJmizJkzR9WxKXyGXEEURRn0s3379ogFGwlarRaSJOHtt99W7V/zv/76CykpKVAUZdDz9+7dw/Xr17F8+XKUlpaqMjaFT0JfrDgcWZbx+++/o7GxEcXFxWHffkZGBvbu3Ytbt24N+5qOjg6UlpYiMzOTN5KIYRrlv//EhdmMGTNgs9kicqnGaHR2dmLBggVoa2uDy+XCqlWrwrbtQCCAQCCA+vp6XL9+HefOncPff/+NtrY26HQ6PHz4ED09PQAGLgpNSkrC559/jjfeeCNsc6DwmLCBAAORzJ8/Hzdv3kRjYyPS0tJCz3u9Xtjt9rCPGbxvl8/nQ2NjIy5duoRr167hwYMHWLRoEdavXw+73Q6DwRD2sWn0Jkd7AtEkSRIuX74Mg8GABQsW4MqVKzAYDHC73Xjrrbfw22+/wWg0hnXM4F1XrFbrY7/zer2oqalBVlZW6I71mZmZsFgskCQprPOgkZmQxyCPkiQJV65cgUajwYsvvhjaNbp37x7efffdiM7FYrHA6XSipaUF1dXVmDt3LioqKpCamoqMjAyUlJTA7XbzmCWCJvQu1qN+/PFHrFixAlOmTMHUqVNx8+ZN6HQ6lJeXq7KrNVo+nw9erxc//PADfD4fJEmC0WjE4sWLYTabYTQaY2a3LHilQnC1jGcM5P/IsowtW7bgiy++wOTJk9Hf3w9g4BqulpYWaLXaKM9wsEAggKamJvh8Pvz8889oampCIBCAxWIBMPCtW0lJSTCZTKGY9Hr9uMeVZXnQTfe8Xi+6urpQX18fOjkR/AxOWVnZuMeLNgYC4KWXXsKVK1eQnJyM7u7uQb+bPn06Nm3aBKfTGaXZjU7wo9A+nw+yLKOhoQGdnZ1oamp67JORwZiepL6+PrRbp9VqB31ePjMzE5IkwWQywWAwxMwqFi4MBMCNGzfw5ptvwu/3D7l/P2vWLFy4cCHsB+zRNtL7CgRXoYmIgTzC6/Viw4YN6Orqwp07dwb97tVXX8VPP/0UpZlRtEz4s1iPslgsuH79OoqKijBz5sxBv2tsbBzV3VEoMTCQIezZsweNjY3IysrC5MkDbxV1dXXhnXfe4ZW4EwwDGYZer0dtbS1OnDgBrVaL5ORk9PT0YN++fdGeGkVQQh+DtLe3o6qqKvR4+/btOHz48KDHI+F2u1FUVITW1lbIsoxr166F5ZQpxb6EX0ECgQB27NgRutP7+fPnsWPHjlF9y5TVasXu3buRnZ2NgoICfPLJJ2pNl2JMQl+LNXv2bHz00UdYunQpbDZbaPVoa2sb9S121q1bh0AggK6uLuzevVuN6VIMSvgVBABWr16NU6dOYceOHcjPzx/z/aeKi4shy3JY7oxC8WFCBAIAVVVVyM3Nhc1mG9cX0zidTuh0Oqxfv55ntCaACRHIrl27kJ+fj6qqKhQVFSEtLW1ckRQXF8Nms/FrpSeAhA9k8+bNqKmpwZw5cwAM3O4TANLS0uByuca83XXr1vFrpSeAhD5IBwa+ViA9PX3Qc4cOHQrLts1mc+hrpcvKyhLi8m4aLKHfB4mUzs5O5OTk4L333ouJz45Q+CT8LlYkSJIEj8eDiooKHDhwINrToTBiIGGi1WpRXV2N1tZWOByOaE+HwoSBhJnT6cTcuXORm5vL08AJgIGoYOfOncjLy0NGRsagj6dS/GEgKrHb7aisrITD4UBJSQlXkzjFQFRkNBpRV1cHnU7H1SROMZAIKC4u5moSpxhIhHA1iU8MJMK4msQXBhIFXE3iBwOJokdXk3B99zqFFwOJsuBqMnfuXKSnp2PPnj3c7YohDCRGBL97HQDmz5/Pa7piBAOJIZIkYc+ePairq0NraytSU1NDN5ug6GAgMUiv18PpdMLj8aCmpgapqak4cOAAj1GigIHEMIPBgMrKSng8HrS2tiI9PR0Oh+Oxu7STehhIHDAYDHA6nfD7/aGD+YKCArjd7mhPLeExkDgiSRJ27tyJ9vZ2ZGZm4uDBg0hNTUVJSQk/F68SBhKn8vPzcfbsWXg8Huh0OmRlZSEjIwNHjx7lsUoYMZA4ZzAYUFxcjJaWFjidTjQ0NCA1NRU5OTk4evQoV5ZxYiAJxGw248iRI7h9+zYKCwvR0NCArKys0BuQwS/XpJFjIAnKarXiyJEjaGlpCX2ZZkFBASMZJd72h0iAKwiRAAMhEmAgRAIMhEiAgRAJMBAiAQZCJMBAiAQYCJEAAyESYCBEAgyESICBEAkwECIBBkIkwECIBBgIkQADIRJgIEQCDIRIgIEQCTAQIgEGQiTAQIgEGAiRAAMhEmAgRAIMhEiAgRAJMBAiAQZCJMBAiAQmR3sCRONVXFyM/v5+rFy5ElarNazbZiAU95YtW4acnBycPHkS3d3dWLhwIWw2GywWC8xm87i2zUAo7mVnZyMzMxMejwcA4PP5cPHiRTzzzDPo6+uD2WzG2rVrYbFYYDQaR7Vt1b+jUKfTYerUqaOeGNFodHR04M8//8Tdu3eH/H1ycjImTx5YD7Kzs7FhwwbY7fYnblf1QD744AMcP34cU6ZMUXMYmuD+/fdf/PPPP+jv7xe+btq0abhz5w7S0tLgdrthMBiEr1c9EKJI2LdvH/bv3w9Zlgc9r9PpIMsynn/+eVitVmRnZ8NisUCSpBFtl4FQ3Ltx4wbS0tLQ3d0NnU6He/fuQZIkvP7668jNzR1VEP/FQCjubdiwAXV1daEVwmw2Q6/Xh2XbDIRIgO+kEwkwECIBBkIkwEBi0GeffQav1xvtaRB4kB5zvF4vtmzZgubm5mhPhcAVJKbs2rULWVlZuHr1KjQaTbSnQ+AKEnM2b96MjRs3wmKxRHsqBAYSU3p7ezF9+nT09PQgJSUl2tMhcBcrptTW1mLTpk2MI4YwkBjicrmwevXqaE+DHsFdrBii0WjQ1taG8+fPY+PGjdGeDoErSMwIntYtKysb0Qd5KDK4ghAJcAUhEmAgRAIMhEiAgRAJMBAiAQZCJMBAiAQYCJEAAyESYCBEAgyESICBEAkwECIBBkIkwECIBP4H8eyA3LmCyrMAAAAASUVORK5CYII=)
The graph, shown in the adjacent diagram, represents the variation of temperature
of two bodies,
and
having same surface area, with time (
) due to the emission of radiation. Find the correct relation between the emissivity and absorptivity power of the two bodies.
![](data:image/png;base64,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)
physics-General
maths-
maths-General
maths-
Value of
is
Value of
is
maths-General
Maths-
What is
for two mutually exclusive sets A and B?
What is
for two mutually exclusive sets A and B?
Maths-General
Maths-
Which of the following is set representing neither A nor B?
![](data:image/png;base64,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)
Which of the following is set representing neither A nor B?
![](data:image/png;base64,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)
Maths-General
Maths-
Which of the following is set representing B but not A?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARgAAAGfCAYAAACEO83sAAAgAElEQVR4nOy9V3Rc13m3/5xzpg+mARj0RhAgCYIAQbAABMXeLcqSbEmOZTtO/OXzSi79XeUiV8lKLnORK+effOuLI9uyYzWaFiWxgw1gBRtIggW9d8xg+in/CxSRlmxJxAyAAc6jxUUtYmafPZh9fufd736LoGmaho6Ojk4CEBd6Ajo6OksXXWB0dHQShi4wOjo6CUMXGB0dnYShC4yOjk7C0AVGR0cnYegCo6OjkzB0gdHR0UkYusDo6OgkDF1gdHR0EoYuMDo6OglDFxgdHZ2EoQuMjo5OwvhqgdFzrXV0dP6Yr6kLhq/zIjkmEwgGCAaDxGIxZio8CILwwvPT0dFZ/Dx7rxsMBqxWK3a7HZPR9LXe/9UCI8DI6AhNTU20t7cTiURQVRVR1HdXOjrLAVVVEQQBk8lEXl4eGzZsID8//2u992tZMN3d3Rw7doy7d+9it9sxm82Iooheq0pHZ2kjCAKaphKNxvD7/axYsQKHwxFfgenr66OhoYHe3l5qampITfUgCAKqqukio6OzRBEEYfoP+Hx+7t69S19fH3v27PnaY3wtgQkEAvj9fgoKCnjt9dfJysxEEEDT0AVGR2eJMuNjnRGYsbExHj58iN/v/9pjfC2BAbDb7axdu5aDBw+Sk539zWero6OTtExOTnLlyhX6+vq+0fu+tqd29sRIt1h0dJYdmjblDpnZNn1dvpbAzAwYCoWYmJh4sRnq6OgkLRMTEwSDwVmR+bp8o7NmPe5FR2f58iL3/zcOZtFFRkdn+fGi970eLaejo5MwdIHR0dFJGLrA6OjoJAxdYHR0dBKGLjA6OjoJQxcYHR2dhKELjI6OTsLQBUZHRydh6AKjo6OTMHSB0dHRSRi6wOjo6CQMXWB0dHQShi4wOjo6CUMXGB0dnYShC4yOjk7C0AVGR0cnYegCo6OjkzB0gdHR0UkYusDo6OgkDF1gdHR0EoYuMDo6OglDFxgdHZ2EoQuMjo5OwtAFRkdHJ2HoAqOjo5MwdIHR0dFJGLrA6OjoJAxdYHR0dBKGYaEnoDM/qKqKpmlomga8eDPzGWbGEUURUdSfUzpfji4wy4BAIMDdu3fp6uoiFAoBYDC8+FevKAqapmGz2SgsLGT16tU4nc54TVdnCaELzBJAVVVkWUZVVeBz68JqtQLQ3t7ORx99RH19PWNjYwiCgNFofOHrxWIxNE0jIyODnTt38p3vfIcNGzYAEA6Hn7OSRElCkiSkJWLlaGhoGqgaqKqGpqkIaAjT1qE6/dmfeQOCKCCJU78LUZQWZuILhC4wS4AbN25w+fJlxsfHgecFxmw2Mz4+zujoKLm5uXi9XmBuFowsywCYTCYGBwf56KOPOHXqFIIgEAgEnts+eTMy2LBhA7U1NXP5iIsGNaoQGh8lMtJBf087LT3j9PrCoMWQI2GCEZmY8ozImCyYXBnY3Xnk5q2gtLSAldkm7Av3EeYVXWCShGg0it/vQ5aVKctAFDEYDPh8Ps6cOcMHH3zA4ODgc+8RRRFBEFi3bh2vv/46GzduxOFwxG1Oo6OjXLt2jZMnT9LU1DT1BJ+2omaun5efz+jICE6Hg5ycHFRVJRaLzVpRdrsdk8kUtzklGlVWCY+NEmy/S9f1U3x2+g6nH44wKYiIkgGjQUR81r1lNSG6MxFsK8kr3sz2HbXsryulMt+OyygyN0/Y4kcXmCTh+vVrvP/eewwMDs0KjCRJCIDVZmP79u1fsEpmnLqlJaXs2LGDFStWxHVOhYWF2Gw2jEYjK4tXomkagvj8LROLxejt7eVf//VfUVV1djsnSRI5OTkcOHCA3bt3x3VeiUQ0iFhcLsS8YrLHc8k524A60M+AqYTUyipqK/Mo9pqnbywZlH6GBtu5eb+RphOP6G65T2/bHg4c2siW8lzybYYlfRMu5c+WtIyMjNDd3Y0sywiCgKqqnD17loaGRsbGxtD4XDxcLhc//OEPefPNN8nKyvp8EG3mLw1REL9w48eL1atXs2rVKjRVQ0NDQGDmsayqKu3t7XzyySe8//779Pb2zoojQEZGBkajEVEUSUlJAaa2XRkZGWRmZiZkvnNFMhlIycqGTA/WtBDbrt7j7kMYSdvJ+le+z0/f3MiO1U4sAMTA/4D2e6f59NgfeO/oHW5dfconY+P4TSY0hxNriYcMw9KNF9EFZhFy4rPP+O933sHv988eJ68tK+Ptt98mLS0NRVVRFAVFUTBbLGzYsIGcnJwFm68gCAjSFwVMFEVWrlzJ/v37ycrKwuf3Y5AkTCYTsiwzNjZGS0sL//RP/0Q4HAYgNTWVl19+mb/8y7+cdVIvSgQLJqsNq9mMxWjEYLJhTnHidLuxzaqFGVwVFFc7eFUTcAYD/PbYLRr67tDUtIH8VWUUp7txpQss4k86J3SBWQQoisKlS5doa2sjGo1y984dgsEgmqbN+ivWri3nhz/6EW63e6Gn+40QBIE1a9awZs2aL/xseHiYDz/8kCdPnqAoU76lyclJrt+4QUyWcaSkkJ+fz+bNm+PqO4oPEWLhMJGYTExV0ZQIcmiSSZ+PcPaMBQMggXUluVUvcbivmc6Hj7l9fZjujj4ed04wNKkR0wVGJxHIsoymaTx69IhfvvMO5+rrEQSBl7/1Lf7+7/8el8s1G7eyomhF0onLV5GWlsbBgwdZvXo1mqYhiiITPh+XLl3iF//1X0xMTFBbW4vBYGDr1q0IgjDld5pjkGBCEEQEcfpI/st+rqjEZI1wTCAkQ1TVEAQwiEt3ewS6wCwY9+/f5+jRowwPDyMIAjFZZv369YiiSN22bRw6dGhx3khxRBAECgoKKCgomP23mCxjNBgYHR5mcGgITdN47733OHr0KB6PhwMHDrBly5bnB9Jg4Y5jNFQkVMmG2e7G47HzxQijEIH2xzRea+FKi48RNYuMnGyKCzxkuATMCzDr+UIXmHlkdHR0Nlbl/PnzfPTRR/T29lJeXs6Pf/xjqqur0TSN9PT0JS8ufwqjwUDd1q2sLC4mFApx/8ED/ud//oerV6/i9XoxGAw4HA7MZjNOp5P0tPQFFBcBBAFJiyKFhgj0P6XtoRVPnmnaKhEAhdjwY26fusrHjaM8VQopqNrG9p0b2FmeQZ5T+BJBWjroAjNPyLLM0aNH+fjjj5EkibS0NLZu3YokSeTl5VFTU0NxcfFCT3NR4HA6cUynHrjcbnw+H3l5eWiaRkdHB//8z/9MJBJhx44dfP/73yc9Pf3zN8+jNaMJEogmrMo45v5LPD45xH89zeS4Q0KY/k9RYoR8Y7Q9GWM4vJLMl6rZ8fJu9u6opCrfhmeJP0d0gUkgoVCI+/fvMzw8TDQa5dq1a9y/fx+DwcC3X/k2333ju6SnpyNJ0myErc7z5OXl8dprr7Fv3z58Ph/Hjx/n6NGjjI+PY7PZSEtLIyMjA6fTSUlJCampqfM3OUEARCQthhQawt8r0hoZYSTFjCipaFoUNerDPx6go8+C4PGywpNNQV4O+Zku3Gbhy/01SwhdYBLIgwcP+L//9/9y+/Zt8vPzKS4u5sc//iskSaSyspLVq1djs9mmAtSW6ZboqxBFEa/XS3p6OrFYjGAwiMViIRAIEA6HOX78OH19fRQVFfEXf/EX7N+/f97mJmgqaApR0YbsLiBr3SZ2Va6gODsFgyGKovkQwv34ezu4fb2bBx2PGbghcMljQDIZkDesYIVLxDZvM55/dIFJAKqqcvnyZerr6+nu7iYajaJpGhs2bKCmphZBEEix27HZppaWLi5fjSAImEwmKisryc3NRZZlHj16RH9/P5OTk/T393Ou/hyiKLJp0yZcLlfiJ6WpoMrERDsxZxmZVfvZcWQ9mwtsGKUYqhpEkMeIjDyidsV5Tv2hkTO3r3DmqExP2EhIk/jWxmyKneYla8noAhMnVFUlEAigKAp9fX18+umndHR0UFdXh8fjweVyUVVVRUFB/kJPNamxPyPMNpuNcDhMVdUGotEILS0POXbsGAaDgaqqKkRRxGq1zimx88+jASoqBhSzC0t6NumF+eTmmzEJGmhTP6cgnyKHBWs0wOBIAy3N97h6xktaZjqlWTYybBm4luiduEQ/1vzT3d3N2bNn6e/vQ9NgcHCQ4uJi9u3bR3Z2NpIk4fF4FnqaS4IZiy8zM5Nt27YRDIYIBCYBuH37NidPnODmjRs4HA621tVRXl6e4AnN/BGRRBGjwHTKxJSPBkM+xpLNrNnRR3VLJ9eePOZB+wMeNa+lZesqVuWn4UyRlmTioy4wcWBwcJCGy5f57LPP6O7uIi8/j/Xrq9j+0nbWrVuHxWL56kF0vjGCIDznHI9EIgiCQNPNmzQ0NuJxu1Gn87WysrISZMkIgIagxlAjIaKBEFGMfOEbN+TiKCljzap8ytOf0ts9xsTIEP0TAcajKhq6wOh8CaOjo5w9c4aGxkZEUcCbkUFu7tSxc2VlpS4u88hMRPDE+DiTk5OYzGaam5sxGAzs2bOHoqKieZnHlwuFEUk04xANpAhT0bvazC5qCaMLzBwYGBjgypUr1NfXo6oqu3btIsXhID3dS2VF5WyGsM78YLPZKC8vJxgMUlJaCkBTUxMXLlxAkiQMBgN5eXlxupoRUTIjCRKiIIJkQrTaMac4vjwyVx5h4mkrXW3ddPtlglYP6WnZuF0eUkxLty6MLjDfkJni2eFwmOvXr1NfX084EmHLli0cPHgIj8eDJEm65bJAmM1mNm3ezPr161EUBVEUOXf2LFeuXMFsNrNnzx7S0tKeKxvxYiioMRlZkZGVqf+PRGP4IxH8ihH7zMmgpqLKY/geX6fp3EUu3WrhScSAIX8lBavWUJCVgceyNLdHoAvMNyIajdLW1sb4tAl+6dIlBgcHqa2tZdeuXeTnL8ITovmKbF3QfKDnsZjNWMxTdkRdXR2apnHixAnq6+ux2Wzk5uZiMpkoLCz8xsXKFQWUmIxJGCE01sWIb5gx3wQRuZ+BlofcuAnWERvpJglRFFAjPoJDj2m73sDFk5doeDhI0F3O2s1VbN20itJMG84lfBcu4Y8WX2KxGI8ePeLUqVN0dHQgiiKRSIQNG6rYv38/q1atWugpfjlTPkhkRUZRlNmSlnOJvXm2qLfBYMAgGRaNuPwxRUVF2O12xsfHuX37NmfOnJlN1di9ezebNm36RgXQVVkj6vOjhZ8y0vGYTn+AMTSEyW5G7tZzgfsMZdnwWgyIgogSHMbf95Sux12098pE0ipYX7uX7Qdr2FGZyQoXerLjckfTNNrb27l48SLnzp2jvb2doqIi9u/fz4EDBygsLFzgCfJnb/BQOMTAwACjo6NEo1GAOW0PVFVBUVTMZjNerxev1zsbm/Ii80s0Xq+Xw4cP43A4OHbs9zx82EJOTg4WiwW3201paenXP2FSZZTgBJGBPkb7A/isWVhWWsgPAbFWRlo6aGoTMU9XEFSiAdRwCEGxklZaybp1m9i4aytbN62hJMOCzTjt8GXRavSc0AXmK1AUhba2Nj777DOamprwer1kZmayYsUKdmzfQem0M3FBV8j0dWOx2GyNGQCD0YgkSfT09HDhwgWam5tnq+TNtatANBrD4/FQWVlBTc0WVq4sQRCE5wTMaDAiGaRFcecUFxdjNBoZHh7G4XBitVq5f/8+0WiUb3/7FcrK1n4tq06UBIwWE6o1E0feJtbtWoWtIkIsEpg6po7KRGIK6nRJU03TMBjNuFK85BSuJa9sPSWrcsn3QPKUOn9xdIH5Cjo6Ojh//jwNDQ2kpKTwxhtvUFpaisVieT5wboFvonA4TGdnJ0NDQ7N9i8wWC0ajkdanT7lx40ZcBEYQBGKxGJGojMftJhqNYDBIjI1PIIribNsSu9WKNyOD7OzsP2/dzCM5OTn84Ac/IBgMMj4+zi9+8QsaGxtxOp1YrTaKioq+UmQko4QlNR2Tw4GlsJwsWSOmaqDJaIqComoo6ucdNAEEUcJgMGG22DBbbVjMfCE1YBFocELQBebP0N/fP+scdLvdHDp0iK1btz5//LxAlossT/lUZopmDw8Pc/LkSRoaGghMTkW1IggoqorH7SY3N5cDBw7M+mAk6cWyXwRBQJan6gEDBIMBTp8+w3vvvT8VOK+qqIqCNz2NLVtqOHDwICtXrgSmLKyZbggLgSRJzxUTHxgY4MSJE5w+c4ZAMMQP3v7+V9c2FgREkwnRZMIAcyt1uVT3Rc+gC8yfoLurm/MXztPQ2IDBYODgwYMcOXLkizfHAiyQyclJ7t+/T29vL5IkkZKSQk9PD83NzXR1dREMBBAEgXAkQigcpramht27d1NTUxPX4/OJiQmuXbv2XF1di8WCqqpMTvqx2myYLRZaW1uJxWKoqkpmZiYlJSWLIm3iwIEDuFxufv7v/07D5ct409PYt29fHGNlvoIlLi6gC8yXMjIyQn19Pcf+cAy73c7rb7zOli1bFuTJq2na7OnPTIOyzs5Ofve739HQ0EA4HMZoNE4VsKqtZfv27bPvlWWZmCyTn5dHdXV13PtHe71eNm/ejG26L5OmaRiNRjRNIxqL0tPdw/Hjx+nq6kJVVRwOB5s2beKtt95i06ZNwOfh/QaDYY5xKd8cUZwqm/FXP/4x7/3ud7z3u98RDof5wQ9+sAiLjCcnusD8EQMDA5w6dYqz585iMpnYvXs3L7/88oKVVBgdHeV8fT2dXV2YzWasViv9/f0MDw9jt081IJ3pE71r1y62vfTSvM7P6/Wya9euL/y7oig0NjYyODhIf38/MN1qdmiIEydOcPv2bTRNIxQKkZOTQ21tLbm5ufM6dwC73cbu3bsIBQO8++67nDt3DovFwqFDh57vM6XzQugC8wxjY2M0NjZy/PhxNE3j7bffpna6fst8Eo1Gp6rTSxL37t3jN795l+s3bs76L0pLS3nrrbcoLy9HURQ0TSMlJYXCZ4pnLzSSJFFVVYXX652tQywrCi0tLZz47DN+8YtfzHYSqKhYh9lsJis7G0kUiUaj895OdttLL+H2ePj5z3/Ob3/7W8wmE69/5zt6RPYc0QWGKefjwMAAly5d5PKly9jtdrZt28bOnTsXxFS+cuUKn376KTBVdjM1NZWXpi0TTdNYu3Ytu3fvnj9fwQtit9u/EICYk5NDYHJyNrhNmm7Edvr0aS5duoTZbKa2tpZDhw7N61xdLhd1dXV0dXXNluUMhcK8/p3XF4W/KFnRBYapm7anp4fjxz/h6dOn/K//9Td873vfm/enVzgcpq+vj1OnTvHuu+8iiiJbt27lb//2b1m7du3s62aaxicjhQUF/PVf/zU/+MEPgKmt1MOHD/nlL3/JsWPHEAQBn89HZmYmpaWl854w+tprr5GVlcW//du/8YeP/0BWdhYvvfQSdrt9wU6/khldYJjyDQiCwMjIKEPDI9hT7AtiGl+9epV3332XYDDI22+/jcvlYtWqVVRXVy/uNqrfAEEQsNvtzwlkdXU1gUCAlStXMjY2xsjICD//+c85cOAA3/3ud+d1fmazmc2bN/OjH/2I06dP8/777zM0NMS3vvUtvTD7C6ALDNDW1kZzczMej5sdO3aQmpo2r9d+8uQJmqZx9uxZHj16xKFDh/i7v/u7ZVPuwWazcfDgQQ4ePMjY2BgffPABH374ISdOnMBkMmGxWCgsLJy3fC+bzcZrr71Gf38///Iv/4KqqvO+ZVsqLHuB6e/v5+TJk5w6dYri4mL+4i++T37+/Pg2wuEwH374Ie+88w6aplFSUsLbb7/Nnj17lo24/DEej4eDBw9iNBo5ceIE//AP/4Aoirz66qv89Kc//epAuDgiiuJ0WkR0NkBR55uxrAWmvb2dTz/9lMbGxtnj1qqq9Qm9pt/v57PPPqO9vR1FUWhtbcXj8WA0Gtm4cSOvvvrq843EliF5eXm8/PLLBINBhoaGiEQitLW18R//8R+kpKSQnZ3Nnj17En6MXFpayptvvsnIyAi///3vOXDgACtWrEjoNZcay1JgZpy69fX1nD17lrS0NH784x9TUVGR0OsGg0GuXbvGO++8w507d3A6nXzve9/jJz/5CVarFafTOb+NwxYxHo+H1157jdraWoLBIA0NDbz33nv09fWxevVqTCYThw8fTqizu7a2lrz8fP6/f/93jh07hiRJvPXWWzgcDr3VzNdkeQjMH+V8dHd3c/z4ca5cuUJ2djaHDh1iw4YN36guyDdFlmXee+89Ll68iNvtZv/+/VitVrZt20ZNTU3CrpusiKJIVlbWrJViMpkYGRmhp6cHQRA4ceIEg4ODfPe73/08vyjOuT1Wq5XSkhKOHDlCLBbj7NmzRCIRvvOd75CdnR2/Cy1hlofAMGW1RCIRBgcHuXHjBrdu3cJkMvHKK6+wd+/ehF57bGyMpqYmPv30U6LRKD/60Y+orq5GVVU9xuJrsm7dOjIzMwmFQrS3t/Ob3/yGEydOkJqayq5du6aEKEFGxc6dO7FYLPznf/4nly5dIi8vj61bt+JyuTCbl3K5qLmzPARGgFg0Rm9vLw0NDdy6dWu2+fzGjRsTfvlz585x9OhRDEYjhw8fZuvWrWRkZCT8uksJi8UyW5I0IyMDn8/HyZMnOXbsGD6/jx/98EcJPcqvqKjgjTfeoL6+ntOnTzM6Osr+/fsXfbDjQjO/2WULiCiK+Hw+bt68yfXr13G73ezatQu3252wa/p8Ps6fP8/p06fx+Xzs2LGDl19+WReXOeJ2u9m7dy8HDhwA4OKFi3z66af09PQk7Jo2m43du3dTXFzMxYsXOX/+/GxxLZ0/zfKwYJjK2p2YmGBsbIxwOIzZbE6og1BRFJqamnj33XeZnJzkyJEj7N69e36duJo6VZ9Fm3ZPCAKCKCEKyV8pwOPxUFdXRzQa5fTp0xw9epRoNMrrr78OEN/s7GnfjslkIiUlhUgkwujoKD6fD03TdIfvn2FZCIyqqnR0dHDr1i1kWWbLli3Phd7HG1mWOX/+PCdOnGB8fJzNmzezd+/e+a3dGxoi0POER10DtA34mZRFNJuH1LxC8gsKWJHpwJXk90V2dja7du0iGAxSX1/P5cuXGR8fRxAE1q1bR21tbdxLQJSUlLB79276+/u5cOECNptt8RZ8XwQsaYHRNI1YbMr3cuvWLZ4+fUpeXh779u2jqqoqIdcMhUK0tLTwySef0N3dzdatdezbt5eC+cp01mS0sI9gWxP3rl/m/K2n3GodZCSkELSkkVpSRdXGWnZWr2N9fioum4SUxEKTnZ3N7t27kSSJhoYG3n//fWCqzEVWVha5ublzd8Q+8/tZtWoV3//+9zl+/Di3b9/G4/GQmpqK0+nEaDTq1swfsaQFJhqN0tXVxY3r13n44AFut4dNmzZSVVWVsK3KrVtNnDx5kr6+PsrKyti9exelpaXzt/CCw0y23+LejUYu3GzhTtsQI2NjBAMT9Pge0/K4k55HvUz2+gltr6ayLIcMp5jUBagLCwvZuXMnfr+f0dFRFEWhv7+fc+fOzVqrcbFkNHA6nWzYsIHx8XHq6+tpbm7GYjZTtWEDRUVFCep/nbws6d9GMBjk0aNHnD17lkAgwMGDh9m4cVNCxGUm2vTMmbM8ePCQsrIyDh48SFnZGozG+bp9VSIjffTea6a5ZZDuWDrOogKKKzSM4V66Wpq5decpPZdHOOlXCEtWNKeTTVYnXmPyevwlSZrq8rBjB2lpaciyzIMHDzh+/DiiKLJu3bq4Xs9ms80maL733nt0dXaS4nDMn5WaRCw9gXkm2Mrn89HV1cXT1lZcLhf5BflkZWX+2be/KE+fPuXTTz/l8ePHFBUVsmvXLioqKuZRXAACjE346BoSCRoKKVhbRE5hHiV5DlxKDxPN9Zy3HOeD80958OgajXdWk1VWQl62A7dbSPoGYKtXryYvLw9N0xgfH+fYsWOsWLEifgWsnjFCMzIyKCsrIxSe2hJ3d3cTiUTmvVDWYmfpCcw0kUiE4eFhxifGSUlJoaioiKyszM9resQp6lPTNJ48ecLpM2e4cfMm2dnZHDx4iKqqqnlu1xEBRpk0CvgzVpOZ5SJvZQH5eV6yvBZM2krIsWIVx+gaGaLr3gB93V209owxEiwg5paSXmAsFstsmY28vDxcLhcDAwM8ePCANWvWxDUoTpIksrKyWLlyJRPjU6eTvb29FBQULJnSGvFg6QmMMHWK09/fT0tLC6Ojo6xdu5YtW7Y8vzWKg7ioqkpXVxdnz56dDd7buXMndXV1C/AkiwIhxDQ37vXFuK0eVqZbcVjFqY8q2CF7Lblbaqm6fo/7ff10xIJEJkOEoyrKFzr1JDeFhYUcOHCA7u5uTp8+jSRJ8fPFTGO1Wtm9azcmo4m+vj6uXr2KxWKhoKBAd/ZOk6zb7i/yeZ8rgsEgjx8/pqGhgba2NgoLC6mpqcHlcj33urkykzB56dIljEYDBw8coGbLlgUyk0XAituVRlFBJnk5dhw2kefXeQZ2TxGF3ixKXWYyDRpGRUFVNZQFmHEiKS4u5vXXXyc7O5vGxkbOnTtHR0dH/C6gTVlMtbW1VFZW8uDBA06fOUN3Tw+yLMfvOknO0rNgmBKYvr4+eqa/bK/X+3lqf5wEZnBwkHPnznHhwgUsFgvbt29n544dpCxYuwsT4MFlkrAzlbSp8sUOgrJiQtIspEg20i02PFYjFpO4xOyXqUA8j8dDR0cHIyMjXL9+HYPBwOHDh+MWj2QwGMjMzCQvN5dQKERXVxdDQ0OEplvJ6CwlgZl+UiuKwtjYGH6/H7fbjdvtfj40Pw6W6/Dw8OxTMRwO8+1vf5tdu3YtoLjA1FdpR0KYFYsvamkIWZ5kNCoQEDykODLISnXisSf3MfWfo66uDrvdzi9/+UvOnj2Ly+XCYrGSmTnHdI1n1lFqairl5eWMjowwOjLC4OAgNqtVP7JmKQkMU76Xrq4url27xuPHj8nOzqauri6ux4eBQIDLly/zh+fkOuQAACAASURBVD/8gVgsxt69e9mxY0fCSgZ8fQT+2F75wjRifahjnfSETQx7VpNRsoqSQi85S1hg0tLS2LZtGwMDA5w5c4ZPPvmEWEzm1Ve/PbVljgOZWVm8+uqrnDt7lmvXriEZDNisVrKysua9mdxiY0l9elmWaWtr49q1a7S0tOB2u9myZUvcyiyOjY1x7do1zp07x8jICNu2bePNN998vrLaovXtyahD7Yw/6WRMcWNYU03hpjJKi9x4TV/cSi0lzGYz3/72tzly5AihUIizZ89w5coVxsbG4jK+1+tlx44dpHu93Lx5k8aGBgYGBmb7dy9nlpQFI0kS0WiUYDA424zM4/HEpd2Eqqrcvn2b//7v/2Z8fJzDhw+ze/fuJGoxOkHP007u3RkjZsqntHIdlVW55KWZltYi+BPM9LqKxWL8/ve/55e//CWyLPOtb31rzmOLoojFYsHpdKIoCoFAgFAohKbpdXyXjAUTCARoa2ujt7cXp8vFxo0bWbFiRdw8+oIg0NraytmzZ1FVlSNHjlBSUhKXsROO7EMeukdr2xD3A5nYC9eyqaqANTl2nMvIF5mens4bb7xBZmYmp06d4s6dO3Edv7BwKsDS4XDQ0tJCa2sbkUgETYvj0WWSsWQeXp2dnZw/f57r16+TmprK3r17KS8vj5s3PxQKEYlEsFqtuN3ueQ6imyNjnUzcv8GAXya0YhMr1lewqjCdTKO4dBbANyAlJQWj0Ug4HEaW5bg5Yzds2IDD4eDXv/41n3zyCYqikmJPISc3Z9nGxSwZCyYUCvH06VOePHmCqqqsXLmSjIyMOW+PNE2jv7+fTz75hLbWNvbv38++ffuSZMGoMNnGcE8Lt/tERl1lFFRtoGx1Hjk2Q9JH7r4o1dXVvPHGG4yPj/P+Bx/ErVBVeno6lZWVKIrC3bt36ejoIBaLLWtHb9I/wDRNQ1VVwuEwJpMJb3o6qR5PXAWgtbWVX/3qV4yPjfOzn/2MHTt3JEHfIg2CfQQ7r/Kw38cD22as3lVsKE5jpRtS/uilsySDbs6RXbt2kZeXxz/+4z9y6/ZtvOnp5ObmxmVsRVFInx5PFAUmfBOzOUrJ8VCKL0kvMGNjY7S0tHDlyhVisSh12+rYvHlL3JyvgiAgyzKtra2EQyG8Xm/cjjcTSqgNf/dd7jwZ4FEkH8eKMsqKUylLhc+b4sqASjQsoGoiklHEYBBY6veBw+GgsLCQwcFBWlpaiMSx9KXRaGTv3r243W46Ojo4ffo0sViMVatWJce6iTNJLzCBQICmpiYuXbqE2+3i4MFDbKurI153SU9PD62treTn5+N2uTCZkyBiRB1nsuMu9+4+pGkkHTGniE1eK6ucYEEDTUGNjBENDDI6KRHUUrGkuPA4TEgsCyOGWCxGRUUFkiTR3tZGd3d3XAp4WywWduzYgc1m4/Lly9y/f5+MjIz5rWa4iEh6gQGIhMNMTk5isVimnLpxEpeJiQmOfvQRp06doqKigleOHKGwaLEvlBGiA7e5cr2FxnthoqkWSvI1pEA/470iPmRENUCgu42Bpx30K6lIK6soWm3HYTAveetlBqfTyU9+8hPOnTvHx8ePMzg4yM9+9jOcTmdcxrdYLIRCIfx+P4qsIIpLOdLoT5O0AiPLMsPDw7S0tBAIhSgtLaWkpASXa+5dAiKRCL29vTQ1NXH7zh08Hg979uxha11dHGaeIJQg6ngX3a3nuXqpnt991sX9bjsZee30td/kToqEJAioWgyDFiDYO8rgsBHryk1UZigUGiQM0vKwXmAqE3rLli2kpKTw+PFjmpub+eSTT6iqqqK4uHjOp48zlszTp60MDQ3T3NxMeflaXC7XsspTSlqBCYVC3Llzh/MXLjA6MsKGDRs4dOgQaWlpcx47EAhw4cIFfv/735OTk8Pf/M3fUFZWFodZJ5CYD6X3Cg/Of8rRT65z8dYEYyEDPb1GWu4aEEUBNA1VUxE0BUVxoWbUsGldLk53Gl6rieVYxaS0tJSf/Z//w3//4hf81//7fxw+fJj//dOfzlkE8vLy+OEPf8iJEyc4d+4cY+OjGAzSdBEyXWAWPbFYjP6Bfto72hEEEa/XO9uYa65YLBZ6enpobGzk8OHDVFdXxyUaOKEIEoLZSUrGGoorXQjZURA0VEVBUTTU6ZMiTVPREMHoxZi/kfU161hbmEaaWVw6MQvfAKPRyNqyMlJSUrjc0MDatWvjUjDKYrGQk5NDVlbWVIZ1KMTw8DCxWCwOs04eklZgJEmavenlWIxQKISiKHMSAk3TiEajDA0NoSgKOTk5pKWlEQqFFv+xtNGJlLuV8v2V5NQpRGQNAQ3QeDaQdCaqVBNMCBYHdpcTj9OCZZHrZ6JJTU2luLgYyWBgeHiYlJSU2ep4c8Hv9xOJRHA4HJhMpmWXYZ20n9ZgMCBJEoqiEAwGCAaDcxaYWCzGkydPOH/+PCMjI7z++uvs2rUrOeqsimYEeyZuOySuV+XSZceOHYRDIdo7Ovj1r3/Njh074tLaJhgMEggESE1NxWw2P7+WFizzfv5ISqs4EAjS09PD+Pg4ToeD4uJicnLmHo4diUR4+vQpp06dYmhoiL379rJ169bkEBidObFu3TpeffXV2U4BDx8+jMu42dnZrF27FqfTycDAAD09PdOJkMsjPynpLBhVVenu7ubq1au0t7WTk5PDli1b2Fi9cc7mp6qqBINBBgcHSU1NxWpZjm7P5YsnNZVwOExfXx+Tk5NxGXPDhg2oqkrD5cvcvHEDTdPYunUr+fn5y2K7lHQWjKZp9PX10dx8j96eHjwuNxXrKsjIyJizBWO327GYLQSDQUZHR4mEI3GatU4yoKgqgUCAcCgUt84AXq+Xmpqa2Qzr5uZmhoeHl02tmKQTGIBgMMDExAShcBhBEOa2hZm2VGfymRRFwW6343K6Fv/JkU5cEZiq5Zs6HeoQjUZR1bnXdDGbzWhoBAIB/H4/4XA4LuMmA0lpo03tXzWEeGxjBWYbdT14+JC2jnbKyspYs2YNXq83DhfQSThxcpZaLBZeeuklRFGks7OTxsZG1paXkz7H2CpBEKas65m/l7pn9xmSTmAkSZo+7jMiqzKRaHTO5uZMH6X6+npaWlrYWF3NwYMH8WboArPo0GIQCzMZFYiJJmwmI2YpPjes1Wpl9+7dIAicPXMGn89HalranAVGURSi0+vUZDJhtVqWhf8FknSLJAgCmqYhyzKxWGzOpQllWWZ0dJT7zc10tLeTlpZGcXHxVCfA5eHsTx4mOhlraaThWhPn7g/Q44/FzSCQJImCggJWFBXR1dXFzZs3mRgfn/O4mqYRi8mzQXaSJCEsEysmqWRUVVX8fj+Tk5NIkkRGRgYZGRlzPkaWJAlBEPD5fIyMjICmLatw7uRhgom2qzSevcz7HZkIqwx40j0Ue+IXRmAwGLBYLIyOjmKxxMfSmGkzm509VXx+dHQUn8+H2+Ne8sWokurTTU5O8ujRIzo6OjCbzVRWrqeiogKbzT7nsSVJwmq1YrVYnv/Sl8eDJgkIoo0+5FHTOT777CyfnL7HrUejjIUScxpjs9mw2WxxEQCj0cj69eupra1B0zSam5t52vqUQCAQh5kubpJKYPr7+7l69Sr3HzzAZDKxbl05q1atmgrpfsGtzMz2aGRkBKfTSemqVaSlp8d34jovxOexaDGUUA89D65z+8oN7tzvpHdgkkBYnc2xiicpKSmsXr2a9PR0+vv7GRwcnJOfz2AwsHr1ajZt2ogsy9y8eZO7d+8yPDwcx1kvTpJKYMbHx3na2kpfXx+iKJKZmYnb/eJmpqZp+P1+7t69y40bN3A4HOzZs4cVK1bEeeY6L44M6iDDfU9oauqlvSOAyQhOlwmb1YiUgC2G1+tl37595OXlcfnyZa5fv04wGHzh8QRBwOPxkJeXNxso2t3djc/nj+OsFydJJTAA4nQwnSAIzxfxeYGtjKIoDA0Ncf3aNRouX8Zus7Fnz5641WfVmRuCAGh+QsNPaH08wN1eD1FTFqvyJXLTVASE+Fsw2lQ3yH379pGfn8/58+epr69nYmJizkMbjcbZh+HU0fWch1z0JJWT1zDdktM87dSda88jTdMIBoP09fXR29eLyWTSrZdFhUZsYoy+u+10tspE09aRWd6O1v4AV2+MmKYlZItkMpnIycnB7XbT29tLZ2cn4XB4zuPGYvJskzaz2YIkJdXt90IknQUT7/UkSRImsxmzecq5u1xCuBc/KkRGGOvs5UlzCH/Yy8qqNZRW5mEwScgxBS0RMQTPWBWCIEyLgXnJn/YkimX9WxMEAaPRiMlkQjIYUKdja3QWAdEJlL47DLc30xGxI+eUs2ZlKqXeqUUblRMfoCTLUxaH0WjUwxZekKQUGE3T4pLuLknS7JNJVZRlk0K/+ImgBgboaW2hvXeAaHYO2euKKXCBRx5H0hQUBNAS68SYCebUNC1uFky81m6ykHQCM/MFqao65y9qKsIyhqZpmM3mqchdnQVGAXWCMf8Qt/sUHga8pOVms6FIJC1FQ5n+vuYjQMlsNs/GwkQic8+sn1m36rTjSHfyLjLMZvNsI7SZJ8uLEg6H6erq4saNG0QiEWpqali7dq2eQb3QaBqT/YN0P+qkP+JAKl5DaXE2BXZAg7AqompT8iIIApKYuLt05cqV7N+/H7/fz7lz55BlmeLi4heO7p15oMmyPPcqAElCUlkw0ekOfFarFbvd/uJh3BqMjo5x5cpVPv7DxwQCAV599VXq6up0gVlINIiO++h70EPXvQEsNhfratZSmDtdBFRRpuoMCzAtMWgJtGTWr1/PX/3VXyGKIr/+1a84f/484VDohcczGAw4nU7sdhuKIsflZGqxkxQWzOTkJI8fPeLa9etEo1EqKiqoqakhfQ4RtzOVy1rbWql0VFJaWhqXlic6L4gWQ53ow/foNp1Pe+hR88nMraA8x8HUt6KBHMRiiGA3TsWURDUzAdlMGDAC8X40uFwuXC4Xoijy8OFDerq7kedwyuhyuWa7Po6OjtLY2AhAYWFh3FodLzaSQmAmJia4dOkSjVeukJ6eTnV1NS+99NKLm5gCSJKI2Wya3WMvh6fJ4iZGdPgx/bc/pqUlwn3HASa6x3BfukKnpCBrMkK4B9+jDnrGYoRDkwR6H3H7uplMSwEZWV7yrUbS4qwykUgESZJwOBxYrNbZQM8XYaaBnyiK/Pa3v6Wvrw+TyYTb7dYFZiGRZRmfz8fExARpaWk4nc45t5QQBAFJkjAYDAiCoMe/LDQCTAbG6Wq7Q9OlFs4GWjE5nHxqDiIKKoqmIKhBVF8XY8MBeoP3iQz+B79vd3L31kEqDnyP1zcVsC0jvtOaCVswmkxT2+c5CMxMkJ3T6SQWizE+Ps7k5OSSDo1ICoGRJAnrdHarIAhx8ejrfI6mKsQiQaIxBVU0YTCbMBsNcd9y/HkksHkx51WQnhskq20M/+Qow5OgIUylBcgxYgGVyUmVcGQSGCIWCBEcHSXkixKLJm528TxanrGKbDYbFotlSfv9kkJg4Jmyg3x+VD3XIt86UyixcQbbH9DVN07AnI0nv4iivFQ8ojA/pwAagIgjaxVlB/437orX2DkRIaJMd6GczjuL+kcYvvMBNxvr+bRrBcLqV/juK5XsqSohIzuTAs98THbuzIjVs2t6qZI0AqOTKFRUZYDBR5e5eqWTdksFBTV2jG4PdqfA3Hsbfl0kzI4ssh1ZZJf+iZdoAfpTHyANXKExnIu0Zh8vHdnBt+LTMVgnAegCs+wJoUx2Mfi4iaZLj7ll0lhtW01pyQoKHGYs8/GAFeBrRUyoMpGYTDgmI8sxRDmCGo4CSz+eJFnRBWa5E54g3NlK+/0H3Ln1lPvmDIzF/QwM+YnkmxfVvStHo0QiQYKBSfw+PyZ/YDouZRFNUuc5kirQTieeaIBMeGKMrqc+BscEZBSkYA/+3ke0d/XSPxFjMZ2tCaKE2ZVDZkE5q1cWU5rtwGXSl/BiRrdgli0RYJjOoVGaB+0I6atZW+5D7RkgMHSLey0VrF2dR543lcUSfigaLKQWv8TGA+kYN2ZCdgmlaZbl0EM+adEFZrmi+MD/kIG+IToUNynr6tiWAZ6Gy1wa7OJhSxe3OvysL03FbY1/lOyLIEgWUvKqWZVWTr5sRjPasdkWw8x0/hS6wCxXguNoHU8JDU6i2lfgLi5ghV/FNdhDZ/8ENzu6edw6SPdIIQW5kDJtIiyktaAhIpidmM2g570nB/oGdjnxTKxYMBCmvXOCsbEwDrebnOIyStZWUV6azwrTOIbuJnpaHtDa72di6Qaa6iQYXWCWHSpoAXyTk7RMOvHb8snLz6c420t2QTGFVatYV2KkWHlEsPUWzY87aRuXmdGYhfR16H6W5EMXmOWEAKhhmHxMwN/LoDEVcteSU1REjgUkSybp1ZWsr13NugwNtf8x9+62cKfTT38M5tagV2c5ovtglhtyBLX/HqNP79Hdk0kkNR1XRx9Gn4JL9CNGI0wYU8AIga4OWpvuc39tOZsKPWSnoZsROt8IXWCWG7EI/p5eeu/dpvWpnX7DMH33H3HXEcNt8CHJQ/Q96qNl1M/4cBiePKHnUQ/91UXEPGaWcF6eTgLQBWZZIaPiZ3hIpq8jwnj3OENyiMm+DrpNMjYpgqRGCfn8jEVUUEaJDj+hr6uN9uEKhlZ5yWV57quXelJioli2AqNpPFc8fFksIGWI4EQHHZNWRiyVpBeHcBpFzJIBQZvqlChKAqLswesyYlWbafV3MdD9gDvtG1hb7sadasSxDH5VMwiCgKZpKLKMqupeqG/K8hQYDTRNRZYVYrEYqqou/cZamgZDTxl9dJfWSQOBkh2sK3BTlCHiEkBVtanSCKKIAR/RocvcTPXx8Zle7rbe5/bVFipKsymtzMJhXz4KI0kSiqIQiUSmCs3rIvONWJ4CA4iihGmm6ZoozqnWalIghJns7qTzbgdDkVXYy9ZRuamE6kyRlC+8OApBB2nBDvqenqTtTitdN5q4W15EdYGbPLt1UUT2zgfRaHS2Ep3JZFoelm4cWeKP7T+BABaLGa/XS35+PmaLhYH+fkJLti6vgqYM0dU7zpMuDVmxkJNmJdv9ZeICYALbarJWbGT1yjwKLCPEeu7w+NETWgZ8jM3z7BeKSCRCR0cHBoOB0tJSsrKykF60k8UyJSkERtM0FEVBme6+GI9KYCkpKZStLWP79u1YzGZOnDjB1StXllxtXhUgMkK05y5POoa5P5GKYkwnJ8VEqvRnzH3Vg8NVQEFOGvnOEILvMW2PW7j9eJinYxBWgEWVax1/mpub+fDDD1FVlZePHKGioiIuvYxm/Dqqqs6u6aVKUggMgPZMJ8d4mKlWq5XS0lK2bt2KwWDgs88+48L580uuALOqKsR6H9PVcJFbza3c8xsZ0VJAM6Apwp9uH68qGNCwmURSrCpCZIiB1kfcuvaEG7eG6RyOEI3FEtOAfpHQ1NTEBx98QDgcZv/+/ZSVlc2pF9cMgijMisxSFhdIEh+MKIoYTSaMRiOCIMTFISsIAmazGYfDgSAITExM4PP7l9gXriAE+ul9eIdLp25w/uYED50OxJFxukZCZPlVDEYJh/h8trSGSiw0zqTfTygmg0lDYpJozxNaLl6kwSbhMZZjWJdBpgtswtKMv5ucnGR4eBhVVXE6nXHrxDjTE91gMGA0GvWi3wuN1WqluLiYoaEhIpEInZ2dtLW3k5WZidVqfeFxZVlmcnISDXC73TidziXmxNMQ5DAhxUzIVkBa/iRr01PJzzBiNKhEFZWYJn2JDaKhqjIxswdLfiUlNWZ2ZYYZCGdidBjwiBPIsQhBVULRlqi6ADabDZfLhaZpTExM4PHMoaq4MOXTGRwcpL2tHYfDQV5eHgUFBXNaw4udxS8wGjgcDjZv3owoily6dInLly8zGQiwf98+SkpKXnzoZ+JgRFFEFMUlJjAios1LVtVOdmdVUBGSka0OUpxuPB4XzhSBFFFF/KOdsoCIwZqKY8VmylKLya4NsCsgE5aNaJixO524M9Lw2I3zU7N3gRCE6XYpqhqXGJjBwUHef/997t69S1FREXV1dVRWVi7ZpmuQDALDVJvQrKwsioqKaGxspL29HbPZzJbNm+c89kxD8mg0isFgWGINyUUwO3HlOXHlrWT1F36u8uXmh4DBZMeQaseWmstX9TJbSpvKZzGbzUSiESKRSFy2zpOTk9y5c4fW1lbKy8spLi6eU/vjZGDxO3mfWf8zJzxmsxmr1friDreZoQUBo9GIy+XC4/GgaRqBQGAZRWyKxGN/s9SMGE3TkGWZSCRCelo6aWlpc15rMN1A0GrFbDajqiqxWCwOs13cJIUFM8PMCY/JZMJsNs/Z2SuKIunp6Wzbtg2j0cjg4BC//NWvqauro2JdeTymrJOEdHd3c+LECe7du8eBgweora3F7XbPedxnA/ZUVSMWW1onll/G4rdgvoR4He+JokhaWhpbt25l+/btDAwM8O67v+HBgwdxmKVOstLd3c0777zD3bt32bt3LwcOHMDlcsVl7OVwNP0sSSkw8UQQBKw2GxarFVmW8fkmiEb13tfLGVmWGR8fJxqNYrfbl36eWgJJvt9cAk55QsEgvokJIpEwZqOBFLs97tfQSR5SUlIwm81Eo1F8Pl8CrrDUvFZ/mqTywWiaFveI3hlEUcRoNCBJ0vMWjN50Z9kRCoVmA+HiucZmxtI0ddlslZLKgonFYlPRpcHgbCTuLHP4rgwGA/n5+ezcuZPy8nIePHjA6dOnGR0dnfukdZKGcDjMhQsXuHjxImVlZbzyyivk5eXFbXyLxYKiKAQmJwkGA8iyfoq0qLCYzXhSU3E6nSiqwvj4OJFIBKPRiCi8uFaaTCaKiop4+eUjmM0WPv74Y4aGhsnNzSU1NTWOn0BnMRMKhfj444+5eu0qr736Gm+++SYZGV8VBfTVaJpGJBJhaGgITVNxuV24XK4lFnP15SSVwOTl57N3zx5sNhvDw8NcvXoVTdMoLy/HPke/iSRJ5OTkkJaWxujoKLFYjFAoFKeZ6yQDsizT2dlJT3cPHo+H7OzsuI17q6mJxsZGJFFi20svUVNTE7fxFzNJtUVKT0+npraW8vJyIpEIN5uauHfvHsFgMC7jRyIRwuEwwVAIWZYxGo1xGVcnObBYLGiaRigUIhzH2kCxWIzbt29z6fJlJEli06bNrF+/fm65TUlCUgkMTKUNmEwmFEVhYmKC8YmJuJVYUBSF2HTt1ZlaHTrLh5nvWxKluDpgVVVlfHx81qeXkpKCxWKJ2/iLmaTaIgGzN78gCDOVu+M2ttFoJCcnh+rqaoKBAI8fteBxu8nNy1vSKfU60NPTw71797BarWyt20pBQUFci8HP1s2ZXreKosQl/WCxk3QWzLPV7QRBwDBdWyMeWK1WysrKOPLyy+Tm5nLm7FkaGhp0S2YZcO/ePd5//31sNhtvvfUWFRUVcRMXSZKQJAlBEFCn1+9yOKKGJBWYSCRCMBhEjsUQJTFuvhJRFMnMzKSyshKr1cqli5e42dQUl7F1FjdtbW1cvHgRSZLYunUrWVlZcRt7Kp5GJBaLEQ6FiUZjusAsVgRBICUlBY/Hg81mIxaLMTE+EbfMVIMk4Xa7p7Krgd7eXjo6OpZF5utyRFVVhoaG6O7uxmAwkJGRQXp6ety2xLIsz55KOhwOXC4XFotlidUd+tMkncCIokhRURHV1dXk5+fj8/l52PKQwcHBuD0VrFYra9asoa6uDgSBCxcu0NXV9fkLlsfDZ1kwPDTEyRMn6O/ro7amhvXr18fV3zY8NMytW7cIhoKsXr2adevKycrKWjYnlEnnZRIEgby8PKqrq5nwTfDwYQtXrl7BbreTmZkZF8eZwWBg3bp1iKJIfX09N2/exDn99HG73Uii7vBNdmZOdm7dusXFS5ewWq0cPHSIqqqquDbia21r5cyZMwQCATZu3EhVVRUZGd5lc2iQdAIDU/EKGRkZOBwOJsbHGRkZZvWq1XGzYAwGA9nZ2bPjX7hwgavXrmG2WNi2bZse3bsEiEaj3Lx5k/rpThIbNm+mtqYGT2pqXLOne3p6uH37NmlpaWRlZZGdnf35EfUyyHNLSoGBqSNlTdUIhoLEYjFi0x344oUkSbhcLrZs2cLo6ChHjx5leHiY4uLizwVmGSyQpUooFOLkyZNcv36dl19+me3bt5Pu9cZn8GfWRTQaZWJiApvVOltBcbn4XyAJfTAzzJixNqsNR4oDo9GYkJ5GhUVFVFRWEo3+/+3d6XNb933v8fc5AA52AiC477soUhJJidqs1ZZkW7ItO0nrtpP4TseTmfT2Yf+Stg9yPb25STutUzuOE1tTyVqcaN8lUguphRQpihTFfSdAYj33ASlK3mLa5iEB8vuakeWxAZwfwYMPzvkt31+YpqYmenp6FvwYYvENDw9z9+5dxsfHqampobKy0pDjWDQNr8+H3eEgFot98RxdATmTtAFjNptJT08nNycXt9vN1NQUQ0NDhtTT9Xg8FBUV4fN6GRgYYGRkdvPUFXCCLEdjY2N0dHRgMZspKixc+FteZeYLcHBwkKmpqZnzNC8Pj8ezIibXPS9pA8ZqtVJaWkpN7cyajgdtbVy4eIHe3t4FP5bH4+HV/fupq6vj2rVrnD59ekHXqojFdePGDU6cOEF+fj4H33zTkD61oaEh/vynP3Hnzh0KCwvZuHHjzD7oz5cYWQGSM2D0mT6YgoICqqur8Xq9PHjwgDOnz9DR0fGFxy2EjIwM9uzZQ3l5OefPn+fIkSNMTEwszIuLRXfhwgVOnDhBZlYWrx04sHCrmp8733p6nnDkyGFu37pJQX4+69evJzs7e2Z4egVNc0ja67WnBafS0tJISUkhFAoxODS0YCurn6dpGpqm4fF6GBsbo7e3x5DjCOMFg0G6u7vp7+/H5XKRZ5J3fAAAIABJREFU6vcbcpyZ+i+DBINBUlJSSPP7n9V/kYBJcM/1fVgsFvLy8li1ahVT09MMDg7S19e3YHvZPBWLxfD6fGzfvg1d17l16xZut1uGrJPI+Pg4165eJRaLsXXr1oWvxzLb9zI8PExX12Py8vOx2Wyk+v1fzJQV1HeXnLdIz3G5XNTW1rJlyxZS3G4uXrzIZ599xsDAwIIfa3Xlat5553+RlpbOBx98wIkTJxb8GMI4165e5d///d+JRCL8/d//PfX19Qt+jEAgwKFDn3L48GEyMjJ49dVXWV25GvsKKc/wZUkfMDabjby8PMrKyjCbzTQ3N3Pz5k3C4fCCHsdkMpGbm8vOnTtZv349kUiEEydO8NlnnzFmSOV5sVDC4TCnTp3i0KFDjI2NsW7dOl5++WWKiooW/FiqqnLt2jUuXbqE1aqxZs0a8vJyV1zn7lPJeYv0NcxmMw6HA5fLiaZZiMWM2zVv9+7dOJ1O3n//fX7zm99g0TT27tlj2PHED3Pnzh1+85vf0N/fz89+9jN27txp2HBxOBzGarXi8XiwWlfOosZvsmwCxuPxUFNTQzgcJhgMcu7ceSYnA1RWVi54ceWMjAz27dtHX18fx48f56Pf/Y7pqSlef+31FXV/nQxOnTrFxx9/zNjYGLt372b//v2G9Zs1NzfT2NiI2WzhlVdeoaamZq4M50oNmmUTMFlZWTgcDqLRKEePHuXQoUNMTU1RXl5uyPE0TePtt9/G7/fzq1/9io8++oiC/ALKK8qx2+2GHFPMXygUoqenhz/+8Y/cvHmTn/70p/zt3/7tgm0B+3WuXLnCf/3Xf1FeXs5bb73F2rVrcblcKzZcYBn0wTz1dO2Qw+FgamqK3t5eJiYmDL33dblc7Nixg7f/+q8xm8386le/4rPPPpMKeAng8uXL/PKXv2RoaIi33357QfeX/iaBQIBHjx7NDU2npKSs+G1nl9VPH4lEcLlclJWVUV5eTjQa5d69e4yNjRl2zNTUVH72zjsUFhbywYcfcObMmRWzFD+RNTU18R//8R/YbDZ+8YtfUFxcbNixJicnaW9vJxAIUFNTQ0VFxewOoQs70JCMls0tEszMiSkvL0dRFJxOJ/fv3+f3v/89+/btY+vWrYYdV1EUzGYzoVBITqoEEY1GCYfDmEwmw4s7tbW18eGHH9LT08OLL77ICy+8QH5+/opbd/R1ltU7oKoqPp+P8vJyWltb+fzzz2lvb6e2ttbQ48ZiMaqrq/nxj39MOBzmX//1XzGbzVRXV7Nr1y5Djy2eaWho4NKlS+i6Tnd3NwcPHmTr1q1EIhFDQ2ZsbIzPP/8cTdP4yU9+QnV19Yodlv6yZRUwT8ViMSwWCy6Xi2AwyPT0NNFodKayO8qCj/SoqspLL71EdnY2//mf/8k///M/oygKL7/8MhkZGZSXlWFeISUSl8LTlcuffPIJ77//PoqisHv3bn7+85+zdu1aY64k9JmtSGKxGJOTk9jtdhwOB2az2ZAV/clqWQaMzWajqqqKoaEhWlpaaGm5z8mTJ6mtrSE97YfvNfxliqLgdrupr6+ns7OTyclJ4vE4ExMT/Nu//Rt79+7ltddeW/DjihmNjY0cOnSIBw8esH37dqxWK1u2bGHjxo2GbnA2OTnJpUsXuX79OlVVVaxeXUVxcbH0wT1nWQaM0+mkqqoKXdcJBAJcvHiBsbExCgrySU9f+IB5SlVV9u7dy+bNm4nH4xw9epSPPvqI6elpioqKKC4uxuFwGHb8lSYWi9Hd/YTPPjvKuXPnePHFF3nnnXew2+2oqmrsbYoC09PTHD16lBs3brJ//34O7N9PUXGR9L08Z9m+E087elVVZWBgEE2zEgqFnj3AoHKXXq8Xr9cLwJ49ewgEApy/cIFf/vL/8Hd/97ds37594Q+6QnV0POI3v/kNd+/d46WXXuLgwYMUFhYu2vGj0ShdXY95/PgxVqsVf9rCLrBdDpb1u2Gz2cjNzaWwsJBoNMqdO3dJS0snJydnUWbclpWV8fbbbzMdCnPu7FmOHPkMm83GunXrFnx28UrT3NzMn/70J27fbmJV5Sr+5m/+hrKyskU7fl9fH1euXCEWi1NZWUl2draEy9dY1u9IWloa9fX1BAIBGhsbuXz5MmazmVdffRWXy7UobcjNzeXgwTewahoXLpznt7/97dy+S4qirPiJWN9FPB5H13UGBwc5dOgQ169fp75+Pa+99pohCxe/ia7rXLp0iaNHj5KWlsbWrVuoq6vD6XQuWhuSxbIOmKdV73bs2IGqqjQ0NHD79m3S0tKoXF1JVubCbQ/6TRRFobqqCgUYHR2hvb2dQ4cOceLECfz+VHbs2LmoH45k1d/fz+nTp+nq6sJitvCo4xH5+fns3buXurq6RZuOPzg4SGtLC42NjUSjUTZv3sLevXvJzMyUL4uvsawDBmZWWRcXFxMOh5mcnOT27dscP34ck8m0KAEDMyHzdH3KqVOnuHLlCm1tbeTn52G1WnE6nei6jtPplG/B50xPTzMxMUE8Hp8bKWpuvkNxcTEb6+vZsWPHgm5SPx+dnZ18/PHH9A8MsHXrVrZt30ZeXt6iHT/ZLPuAgWe1XPLy8jh//jytra2sWrWKHTt2LFobNE2jurp6tpTiAOFwGLfbxc2bN2lpaSUWi7Fp0yZeeeUV+Sacde3adU6fOUU4FELXdSwWC8XFxRTk51O3fj21dbWLE8jPDQj09PRw+swZ/H4/5eXlhi5BWA5WRMDATIdvdnY2fr+frq4uurq6GBwcxO/3L9o34NP5OZFIhE2bNhEKhblxo5FTp07NlZlIS09nVUUFKSkpi9KmRBQIBGhvb+fkyZOcOn2SeCxGTU0NO3fuxOdLxeVyUbV69bNwMXoDvNnXHhoaov1hO5FIhPT09JldGmXG7l+0YgLGYrGQnZ1NXV0doVCI4eFhLl26xObNm0l/uqPfIuzU6PF42LBhA9FolGAwSDg805ZQKMTg8BBHDh8mFAqxfds2YxuSwFpaWjhx/DgPH7ZTUFCA3Wanqqqabdu2kZGRMbfh3pxF+H4Ynxjn4sWLPHz4kNq6WrZs2Sr1mOdhxQSMqqr4/X62bNmCpmlcv36ds2dnVj5v2rQJv9+/KCeqoihzI1her5ctW7aQkZFBNBqlqbmZO3fuYLPbUWYfm5WVRUlJifENW2KdnZ10d3cTDoe5c+cODx48ICcnh42bNuJ0OMnOzqa4uPiLQ8GLtHXv2NgYjTcaOX36NFPBIPv27WPD+g2Gl39YDlZGwMyeiA67g/LyckwmEyMjIzQ1Nc3UTrVZ2bxp85J0sJaVlVFUVISu6/j9fkLT03R1dfHxxx8Tj8epra3FbreTlpaGrs/UpldVNannXMRisS/UzBkcHOT8+fNcvXqVSCSCzWajoLCQLVu2sPWFrZhNZkwm01d/5kUIl6fBf/bMWYaHh6muqmLL5i0UFRVJX9k8JO9Z+l0oz/62WCwUFRWxY8cOdD1Oc/MdLl64gD/Vz6rKVdisi1v93WQyza1dWbNmDaqqcOzYcS5dvMj4xMRsZ7CbnJwcotEokUiEtLQ0Vq1albgrdv/ClcX09DQPHz6kt7cXVVUxmUz09vZy8eJFbt68id1uZ/PmzezcuZM1a9bgdCzdqFo4HKajo4OzZ8/S2trKunXr2LdvH4UFhbLeaJ5WRsA8NXviW61W1q1bh6KqTAaCtLe1cezYMWKxGOvXr1+y5qWkpLB542YmJwJMBYOMjY2haRoXLlxAVVXC4TDT09NzBY2eTovXdR2TyYTdbk+M8oyzTdB1nenpaWKxGIqiEI/H6ejo4MyZMzQ1NaEoCg6HA13XicfjrF27Fo/Hw6ZNm9iwfgNO19IO2T98+JAjR45w/949iouLeemll1i7bt2StinZrKyAee6zp6oqZWVlvPDCC3R1dXHkyBE0TWPdunVLevuhmFQ2bNhATm4O4XCY1tZWjh07RltbG5FImHA4zMTEBB6Ph/7+fmDmm9br9VJeXr54HY/z6P8YGhri0aNHjIyMYDabicVitLe3c/36dZqbm4nH43g8HoqLi9m+fTu1tbVomkZ6evqShwvM7GH9ySefUFRUxIEDB6isrFzqJiWdlRUwX+J0OCgpKcHn89HX10dnZyfT09OLtozgm/hSffhSfcDMDgaBQICsrCxisSix2Mx0+YaGBi5evDg3vF1SUsKrr75KXV3d7DonhVgsiq7raJq28Fc3sy8Vj8e/UMnPbDajKAoTExM0NTVx6tQpWlpa5raVsVqt+P1+du/eTTwex+FwUFxczI4dO77amb1InbhfJxaL0dXVxaNHj1izZg2rV6+WlfDfw4oOGACzyURhQQFr167FYrHQ2trK6tWrn9URWcKTHCArM4u33nprbiW4rus8ePCAP/zhD9y5c4fJyUmmpqaYmprG5/MxOTmJzTazH08oFCIajZKRkUFZWTkZGekLGjKxWIz+/n4ePXpEf38/uq7PBJmqMjExQWtLC83NzbS2tqKqKpmZmdTU1PDKK6+wZs0aYOZKUtM03C73Vw+wRO97NBqlpaWFyclJ1qxZQ3FxMdGocftsLWcrN2BmK5K53W62bt2K1WqloaGBjz/+mDfffJONGzcudQtBB9WkzpV/eCrFnTK3JUsoFCISiRAOR+js7OTatWtzYRQOz1xZVFev5c03D7J+/Qbc7pmrs+/7gXk6o9ZsNjM8PExjYyMnTpzg9u1bxOM6VqsVnZmaPNlZWazfsJ4XXngBmJkDVFJSwob1G/D6vF/z4iTEvlJtbW38929/y5OeHn70ox9RW1ubuB3qCW7lBgzPKtE93b+mr6+PhoYGTpw4gdPpZNWqVUs7WvANHzaH08G+ffvYu3fv3H979OgRv//97+nu7p7dRUGfG3Xq7u7m4sVLPHnSg91um+tU/T6ediibzWYCgQAdHR10dXXNVvHTCQYDxOM6NquN0tJSDhw4QEVFxbMf6S9dQSVAuLS3t3Ps6FGam5tZVVnJvn37KCgoWOpmJa2VGzDPncyKolBQUMD+/ftRVZUrV64QCAR49913KS0tXbo2fovnP6xFhUW8/vrrrFu3junp6dk5MzNB0tPTR2NjAydP/pnx8XEURflBRbAjkQjRaBSv10t1dTUvvvgieXm5zE7TQdd1XC4XBQUFlJaWJsbI1jwMDQ7ywQcfcOHCBbZs3sxrr78uCxl/oJUbMF9iNpvnRpBGR0e5f/8+H//+9xx47QBr1qxd6uZ9OwUqKyu/dqTjSfcTFEVnamqKwcFBFEX53pf8T/t2QqEQWVlZ1NXV8eqrryb9t3xbWxtHDh+moaGB8vJy3njjDWoM3o1iJZCA+ZLy8nJ+9rOf8Yc/fMyZM6cJh0PkZOeQ6vcvddO+t+zsbH7yk5+wZ89eIpEIwA+ahfq08JOmafh8PvypyfveAExNT3P48GE++eQT6uvr+cUvfiFXLgtEAuZLLBYLq1evZv/+AwSDQW7fvs17773HwTffnBv5SCo6KKpCRkYmGRmZhh4nEfpQvqve3l7ef/99zp07x7p163j99dcT+rY42UjAfIPa2lrcbje//vX/4+TJk1g0jdTUVLKyspJrDcpifeiTMFz6+vo4ceIEh48cobioiH/8x3+UcFlgEjDfQFXVmSp0b/4IVTVx9uxZRkZG+Id/+Iek728QMx3Vv/71rzl37hy1tbUcfOONL4x2iYUhAfMtNm/ZjMvt4r333qOxsZEPPviAsrIyUlI81NbWkJaWttRN/IFiMN7LYHcXT54MMRDUCaga1tRU0nPyyM3MIM2mshyW9gWDQa5cucLw8DDDw8NcvXqV1NRUfvrTn7JhCdegLWcSMPNQXl7Ou+++y//8z/9w+PBhhoaGyMsr4H//4//mzYNvLHXzfphgP6Otl7j5+TFOn71JQ3eQR3ENa/EqqrbvZ+9Le9hRlUPx4i4yN8StW7f4l3/5F1pbW7FYLBw4cIAf//jHVFdVLXXTli0JmHnQNI26ujpgtmxiezugcuzoUQIT4+x7+eVnVfGSRWic6HAXT7o6aL37hOZ+lYDmwuMaw9b1gI4LD+l4HGFo3EkkvIWX12SS6zKRRL1Pc6LRKIcOHeLMmTPouk5lZSU2m41XXnmFDRs2LHXzljUJmO+gqqqKf/qnf2Jqaoq2tjY++OAD/vu/P8Bqs7Fv38ukpHzNepqEFCc+NcxY1z3aWoZoDWSi1lSya1+c9Hg7PY2fc+x4A8fuNNPw2WncjhSyfC58ZSm4kuxeKRAI0HT7Nh9++CHBYJB3332X+vp6IpEIGRnGbSMsZkjAfAdWq3WugzcnJ5vR0VGOHj3KH/7wR0bHxvhf77zzg2bIGk4HlDgwzVQsymDMQ8juIiM1l/SCXMoLbfhNa5kq9OA0WZgI3OLCQCuddx7yoL6StUVuXKbkGi46fvw4hw8fRlUUDh48yK5du6SW7iKSgPme3O4UDh48iN3u4Le//S1//vNJ/Kk+fL7UuS0tEneBXIyo2UXcv4pMlxWPx01Gmh2XA8COpayODZtaaG7porsJTCpEIwqxeHJMdmlpaeHJkycoisKpkyfpefKEt99+m7fffhu7lFxYVBIwP4DL5eKFF7YyPT3FmTNn+NX//b8MDw+zcdNmfv7zn7N2bYItMVCe/sOKZjPjT1cBMy67CcfznbiRCKZ4BLvHib84D3d5ITkZqXiS4Oqlp6eH99//L44ePYbP56O4uJif/NVf8dKePRIuS0AC5gfKzMzklVdeIRqN8lHXYwKB4FypxcnJSTZv3pxgE/MUQMNqAXMKqMrMFcocfZzprsd09MSJeCtZVVhHUV0F1QV2UhL8bLl9+zbnzp3j3t17hKanCYfDrF27ljfeeCP5OuGXiQQ/ZZJDamoq27Ztw25zMDExxsDgIDdu3GB4eBiv10t+fj4mk2muEFQiUFWeGxGKE49GiQYGCDxq5PblBq61xhhOWUNxdT3rq7Mo8YM5MZr+BdPT00SjUaampjh+/DhXrlyhqrqKNw4enFv2kfxzlZKXBMwCKSgoxOPxEo/F6Hrcxfj4OJ2dnfzud7/DYrGQm5vLSy+9RH5+/lI39UsixMN99La20nrtEnevnuN8Yx+toXJS66pI3+gjxWnDlYDhMj4+ztGjR2lpuY/NZufhw4fk5uaya9duampqnlXYS5BQX4kkYBaI2WzC758ZnUjxpBAOhzl58iSXL1/myZMnlJWV4XK55irse73eBNm4K0osOsjQ4yaar5zj7JlrXLw7QY8Sw08OmSUFlGTbSav04dXUJZ8HEwgEGBoaIhqN0tnZyeefn6ChoYHs7Bw2btzI7t27qa2tXdFb7yYSCRgDWK1W1q5dy/T0NMPDw9hsNlwuF9evX6ehoQGz2cz27dvZt2/fUjeVmbqcFsweH56CVeSUQ3GwjXjfCBOdF7h1wUZaqoLbWUddsRfPEidMU1MTn3/+OePj49isVsxmCxUVq8jMzKSuro66ujrc7mSZj7T8ScAYxOl0UlNTA8Do6ChTU1NcuXKFxsZGzGYzFrMZl8uFpml4PB4Ki4qwLMl2KWZUczpphbWsezGPjJJBqmovcvvqKa7dbKWnWeGCx4M3Oxu/30Wl18xiz/R59OgRA4ODqIrC5cuXuXjxIhPj41RVV7Np0ybS09NxOBxUVFRIuCQYCRgDeb1eNm3aRCwWY2xsjGAwyOTkJAAjo6N88sknhEIhysrKeO211ygqKgK+pW7tQtMtmEyp+NI9uH0llFRGqFvvo6ooSIYyzLEbT+huvc+Nu91UrSogJ8WMfxGuYnRdR9d1BgYGOHnyJI03bmDVNHRdp6CgAD0ep6qqihe2vkBuXi6qqibwvKOVSwLGQE93LgRwu91s27aNvLw8dF3nzp07nD17lv7+fsbGxkjz++nq6kLTNIqLi8nMNLA41BdbCYoZs9mM2QzYwJmyHpd5DH2gn4GxO4yMDdDb1cfjgTDjhQ78Bi98HB0d5cGDB0xMTDAyMsK1a1e5des2Ho+HzZs3s3v3bmw2GxkZGRSXFM/uAyUSkQTMIlq1ahUVFRVzRbEHh4ZITU3F7XbT0NDA+QsXcLlc7N69mx07dqCq6lz1f6vVaswOB197seTDlrWBour7VN8b4f49nVBkiulQjFDs6x7//cViMcLhMLquz20v29TUxOd/+pyB/gHsdjsmk4mqqipSU1Opr69n185dWG1WFEWREaIEJwGziJ7/QKxZswan00kwGGRwcJATJ2ZGQ9xuNw6HA5PJhNVqZWpqCpPJRGlp6dwt1A82nxn/5lQ0exoeVwpZKRYCLjNWq4Iy34yb3WHg247T09NDW1sb09PT2Gw2wuEwjY2NXL9+ndGRUVavXs2uXTspLS3FarWRl5eH3WGfZyPEUpOAWSJer/cLJSBGRkZQVRWLxcLw8DCffvopuq4TCATQNI1du3bNjUY9vaqJx+OoqorD4fiO+2nrEI+jA7piQlG+nAM6xMaYGJ8iMOXA6UjDn5VGfrpGynx7eJ97wacT4WKxGKqqoqoqelxnfGKcy5cvc+bMGUZGRnC5XDM/h6JQVlqGqqqsXr2a7dt2UFhU+B1+PpEoJGASgN/v58CBA2zfvp1oNMqxY8c4fvw4Y2NjhMNhrFYrLpcLq9WKx+OZq+ofCoWw2+2UlZVRXFw8z6PpoISJhiYITk4RiFjA6sblduC2PE2FEaKBB/SNjDAQ9qP5KygqzKcsQyNVffYy81n3GIlEePLkCe3t7UxMTKBpGprFSjweZ3hkmMbGBpqbmxkcHMTlcpGWlsaWrVvZt2cvXp8Xl8uV9LsWrGQSMAkiIyNjrj5JIBBA13UmJibmdlIcHh7m0KFDhEIhdB0UBSYnJ/B5fex7+WU0TSMlxYOiPNtW5OkfzWrF4XDM5oECTDE93s7jOx20P4kz5cgloyiP4iI/XqeCMt5C//1r3O8ep99diru8jtLKfPJSLFi/FCrxeHxunyQdUBUFFAWL2Uw8HmdgYIBLly7x5z//mZ6eJ9jtDswmM4qiYrVZ8fm87Ni5k1g0iqZpeL1e1m/YwIb6LxWCSo6F3OJLJGASUM26GiorK+duhfS4zuEjh/njH/9IV1cXqmpCVRUCgUkmJiZobGwEmAuYWDwOuk4kGiUWjZKVnc3q1VVkZWXOfkbDRKYe033vMpcv9dAdS8NTVELp2gIy0jW0yTZGH3fzWE/HtbaGsnWrKC7yfrEWjDJz69Pb20tbWxu9vb3oOlg0y8zOkbMBMzIywp07d+joeMjQ0BA2m31uf+v8ggJqamvZt28fbqcLlJli6187KiThkpQkYBKQ2WLGbPnir2bbtm04HA5GRkZQFBVFgWh0ZgvX+/db+Oijjxgfn0DX45hMJlRVZSo4RSgUoqa2hh//5K/YUL+F9DQ3ZpOOao4xHRmi9/F1brRNMHExBeufM7GlpeDO9JNTWEF11RY2VK2lIsdPllv5ygS7sbExrl27xpEjR7h16xa6ruN0uQCIhMOYTCZ8Ph+lJSW89daPsNttmEzmuasyX6qPqqpqcrKzF+mdFYtNAiZJFBQUfO12KeFwmE8//ZT+/v7ZDegVzGYzJpOJqCWKruuMjIxw4dw57t17QE5OGjU1WaS5PGRW1LFmS4S4p4ue4SjjuolI1IzqKCCtYgtr169nY6GXL69FDkfCDA0O0dDQMLfWymKeiR+LeSZAwrPDzj6fj/qNG3n11Vfxer2L8E6JRCIBk+SejjCVlJQQDAaBmdsMRVGIxWLE43E6Ozs5dfIUn356iJQUN2/9+DXeen0/ZbVvkFmyi5cmgkxNxwjFFGImM2a3D296Fll+D1/XvRoMBLlx4wbnzp1jdHSUPXv2UFdXh6qqmE0mdJhb1OlyucjJyZFwWaEkYJLZbMfn8x3EX2dgYIBwKEQkEsZkMpPmz8PuyiE1M5vU7zFhWFVVnE4nxcXF2O12tmzeQnlF+bzbK1YOCZhkNs8Pa3paOn/113/N/gMHAHA4nDidru93TB1cThf19fWsW7duJmwczgVtr1g+JGCWu9mrBo/Hs2D1Z1TTzOQ+h9S4Fd9iqesHCaMt9FWDXIWI70ACRghhGAkYIYRhJGCEEIaRgBFCGEYCRghhGAkYIYRhJGCEEIaRgBFCGEYCRghhGAkYIYRhJGCEEIaRgBFCGEYChmdb+AghFtbKKtcQmyYUCBAIx4hpDqwOF3bzSnsThFg8y/+zpevoxNHDkwT6uujo6KJzTEfPKqOgrJwir0KKlCAQwhDLOGB0iEeJRgKEQuOM9XXScaeJy5dbuDdsx1lr5wV/ORkpkGLAls9CiGUdMKDHQoQDg4wOddJ59xZNV69y4cwD7gSyyfOuZ9WUQnSpGynEMrbsAub5utK6HiUSDhIYHWW8t5fgk04mB7qZiDuIEMGsgUm6uYUwzLL+eCmqBbPVgyMlh/ScXPIyfWR7NDwaOMw6VjOo0v8ihGGW3RWM8ty/KSY79pRsNEcqXlcY8/hDbjd386DTjBbXQZchaiGMtOwC5gsUFdWkoZo0LL4UnB4HdrsZTVVQJVxEotN10KPE9RjReJxoVCcWjc/+TxOKaprd7E7BbJ7ZrzzRLO+AmRMmGgoSCk0RiUaI6TooihTIF4lNj0Kwj/HBLjqfDNDVH2QsGJ/9YrSgqj6caVnkFmVTkuvBZ0+8j3PitcgQOroen/2z1G0RYp70EIy20XPtBCdPXePk7QE6J5jpB9CtKOYSstfvZOdru3D63PjsS93gr1ohAQMzvxW5ZhHJQicWHWO4+xF3G+/TeOU+zW3D9Ed1dF0Hkxubz4MWjzNttaCriTles4ICRohkoQNjTE08pr1vnI5QFqbCXWwoiKPZ48TjMbD58BSuoWjLFjaszyHDnZizRSVghEg08RiMdzLdf5+gHsO5rp76rblkujXSrLMBozlxZGTiy8km3WnDvdRt/gYSMEIkGn2KqYGHDHQgKK7AAAALTElEQVS0MTntxltaRn71Riq8Gmlzj9HRk2CgQgJGiAQT18cZHBvgfls/9wdimCNh0oss2L3PPSgJwgUkYIRILNFxpvvu8fDuLc6fv8HVBzaUaxO0P3hEe3Upq4tzyCnIJM3vIkG7Xb5AAkaIRBIaItR1n/6792m/18rdB2GCLfe5d/soJ/15lK7ZzPoX97F123rWFnnIskEi58wKChgdmbsrEp6qYXHnkVO5gy3hPNyVgwwOddL7qJWH91t42N7O3Y4RHj4Osmd3Hdtr0inyWhI2ZFZIwKgoqhl1dmq1qigzf5uW+WpPkXxs6TjKdrEuZyvFLwUZHetnuPsWD26e4+L5i1y41kdHw584OhJldDKKyb6VlI0ZpCdoh8wKCRgLJosdzWrHYrZgUk2YTSoWS2JfXooVSNFQrRouK7h8kJ1XSLy0gIrSVVRVrGZVzp/49PPbXHp8kUtX08hZnU95aQZuP9iWuu1fY9kHTFyPEAtPEOx7wmBXL/09g/QMxJjo6qP94ShrHA5cTguqRUFFAkckHtWWSXppJumZ+eR4U7FqCuETLTwYbOZe8zqaasvJd7nIsSbeZcyyDpg4EIkGCA630XunkQc379H+sJfOvgixO+3kXW5htVaKrywFq9eCTYEEXM4hxAxXIbnV29je30P/k3HUewNMdrXyoKOXgYIicqyWpW7hVyzrgIHZFe96HFQnjtRSitda2VCaQig3nSxLFHNMJ64r0v0rkoMvh9Kq1WyqvcujiW7uxCYYHhklOBUDJGAWlaKDyWTH4Skgq8qKzVNN+sZJtsdMxJ3ppGfkUZDlxO0wYVES8dcjxJeYTDhTnWQUppLeOYVbd6NpWsLe2i/vgAFMqobJno6W68OVHicrFiOi6KComE0aZrMFk2lmVqSMKIkl9XxB6W+kgmrCbTOR4bOTZU3Hl5GNNQFrwcAyDxgUUFBAMc8MU1tmrlK+0s8i90ciIcSIRSKEozEiMRWTxYrNqj53dRKH4BDjj3vp65vCZPZQXJBHeXE6XmfidfDCcg8Y5lkBJjF/N2JFiYMSZHL8CY+7BngyBGZfLgUVxRS4nt6+jzDV18zNpntc74wznlJBSXEBtXkK6dYlbv43WPYBI0TymCY82k73zStcvDHEkJZHfl0NleXZ5No1rEo3Y4/u0dQ3Tb+1GH9hHWUFuZQ6wLHUTf8GEjBCJAQVUDFHp1CGHzJ2v4kbfWau371JdmkJhRk+0rwKVnMMxV9JUXk5haWrKUz3zYXLvLpwFpkEjBAJw47DmUF2Tj4lBf10TvTzsLed1qlJRrJzyMkvpKy0lHXlFZQW5pOW6iXVriZmssySgBEiYdix+krJr9nDC/ZCnGXdtPWPMxQ1YfFm4M8tZ3XZKtaVFVCY6cCkzubK7CBFImaMBIwQiUJXwObHVVBDeWoJaZUT1AemCUTiYLGhuVLx+1LJ9NoxPz+nIhGTZZYEjBAJRFc1VIeG2+HDnfEtjyWhswWQgBEicSjfLTASPVxAJq8KIQwkASOEMIwEjBDCMBIwQgjDSMAIIQwjASOEMIwEjBDCMBIwQgjDSMAIIQwjASOEMIwEjBDCMLIWKdnoOrquo+vx2VX6yrOawgooioqiKChfWaiizz03ruvoc89RUBQFdfZvIRaSBEwyietMj04w3n+Xvp6btD0Zon3AweSkE4cnlcLSbEqK8sjy+0lNsWO1KagKEI9AaJRQtI++noc8an5Ia9c0g+ZM7BnFVBQUUJXnJ8dvx2SVU0IsHDmbkoiuQ2QqRGCgnb47Rzh35iqHrph4NFxAdlU9r7xaz8s2N3ZrCm6HHW3uiTGIThIN9TPae5O7p4/x+eUBWhw1+NbuZd8LKWR43GR7NJCAEQtIzqZkoihYUpykFhajBFaRdaURfaSbcCiDWGo2/vxi8vIySfPZsFpnr14AFBNYPWjmUtLSxilIb6I4I0bYk4OvuIDcwixS/A5ULVG37xLJSgImmaiguR3Y3JV4tG1UXb5BRdokw5Y8SmtrWb2uivJiHz7Ll2qFqGbQfFhIJTPbTOWqNoJRP5n+dXjWV7B2dRbpKdLjLxaeBEwSUXgaHBZw2dHsVlwmCyk2Fy53Ci6HHduXw2XumbP/pmhYNAdOp4MUt4YvRcHt4NntlBALSL60kpIOqg6KghkTFtWM2WSa1y8zHo+j6/rMVrmqjkIcPR43usFihZKASUo6xGeHnJkZso5/efj5Lzz32VC1TjQK0ahCbDGaLVYcCZhlQAfmkSxffZ4++0cuYIRBJGBEclSPFklJAkYIYRgJGCGEYSRghBCGkYBZBpQfulDxu/cPCzEvEjBJS58bOYrp+swws6LMo792ZgmBqugzr4EuZ4EwjJxaSUxBIa7HmYpGmYpGiMXj3xowX77QUU1gMutyIghDyHmVrGaSgWhcJzgxQWB0lFgkjOlbEiauRAlGFKbCGgoaNosJm0mRNSPCEBIwSckEZjtmhxOzqhAbGWDicRfDw+NMRP/S8yKEw8M8GYvSE3ARM6Xg0uw4VQkYYQwJmKRkAXMKHreXLLsJx1gffa1t3Grr4/6ITvCbnhYbYKrvIS19E9wLOgiYU3FoTpyKzLUTxpCASUoWUFPJLChj/dp8KlKnCXQ1ce58AyeuPOJuf5TpL0z/j6NHHjN59wrN52/S3BWiz5aF6svA5bBhXaofQyx7cmWctPz4q+rZ8kYHd8bHeXjhPi1nT3LU7sQV34hSnUW+x4pNU1HjTxh7fIWmoyc5fXaMDq2W9OpV5BRkkOo2I2WmhFEkYJKWHWt6FWW797M/FGecBs7f7qHn/FEOjd3lQZGPvBQNqwVM+iCx8W762yYZtZRQUVNLzfoSqnNdeKUQjDCQBExS82LK2Ez9i04cWgnlJ+9x6lY7Lbfu0nF9Gk2PATEsJhvpGSVUrN3Ohu27Wb+hgpKcFFxO5PZIGEoCJqkpoHhw5dezcU8WGblVFDbdp+nxY/rHxomGI8TiMUwmD+nZq6jauJX1m9dQkTa/4lRC/FASMMuCFSW9mCJfPjn123glGiUWj89O9NUBFdVkQbNa0TQJF7F4JGCWDRXMGppZk/q6ImHIl5kQwjASMEIIw0jACCEMIwEjhDCMBIwQwjASMEIIw0jACCEMIwEjhDCMBIwQwjASMEIIw0jACCEMIwEjhDCMBIwQwjASMEIIw0jACCEMIwEjhDCMBIwQwjASMEIIw0jACCEMIwEjhDCMBIwQwjASMEIIw0jACCEMIwEjhDCMBIwQwjASMEIIw0jACCEMIwEjhDCMBIwQwjASMEIIw0jACCEMIwEjhDCMBIwQwjASMEIIw0jACCEMIwEjhDCMBIwQwjASMEIIw0jACCEMIwEjhDCMBIwQwjASMEIIw0jACCEMIwEjhDCMBIwQwjASMEIIw0jACCEMIwEjhDCMBIwQwjASMEIIw0jACCEMIwEjhDCMBIwQwjASMEIIw0jACCEMIwEjhDDMvAJG13UALBYLTqfT0AYJIRKPy+VC0zTgWR7Mx7yvYHRdJxaLEYlEvnvrhBBJLRKJEI1Gv1O4AJjn8yCTyUQgEODatWu89957ZGdnoyjK92qoECK56LrOyMgIFy5cYHR0FFWdf8/KvALG6/WSnZ1Nc3MzH374IWazWQJGiBXi6d3L5OQkubm5pKWlzfu58wqY0tJS3nnnHR48eEAwGCQajUrACLFC6LqOyWTC4XCQl5fHmjVr5v1cRZ/HTVU0GiUYDBIOh9F1/TvfhwkhkpuiKCiKgsViweFwYLFY5ve8+QSMEEJ8HzIPRghhGAkYIYRhJGCEEIaRgBFCGEYCRghhGAkYIYRhJGCEEIaRgBFCGEYCRghhGAkYIYRhJGCEEIb5/9Gn5eMOaVvWAAAAAElFTkSuQmCC)
Which of the following is set representing B but not A?
![](data:image/png;base64,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)
Maths-General