Physics-
General
Easy
Question
The effective focal length of the lens combination shown in figure is - 60 cm The radii of curvature of the curved surfaces of the plano-convex lenses are 12 cm each and refractive index of the material of the lens is 1.5 The refractive index of the liquid is
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)
- 1.33
- 1.42
- 1.53
- 1.60
The correct answer is: 1.53
Related Questions to study
physics-
A ray of ligth enters into a glass slab from air as shown .If refractive of glass slab is given by
where A and B are constants and ‘t’ is the thickness of slab measured from the top surface Find the maximum depth travelled by ray in the slab Assume thickness of slab to be sufficiently large
![](data:image/png;base64,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)
A ray of ligth enters into a glass slab from air as shown .If refractive of glass slab is given by
where A and B are constants and ‘t’ is the thickness of slab measured from the top surface Find the maximum depth travelled by ray in the slab Assume thickness of slab to be sufficiently large
![](data:image/png;base64,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)
physics-General
physics-
The refraction index of an anisotropic medium varies as
A ray of light is incident at the origin just along y-axis (shown in figure) Find the equation of ray in the medium
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)
The refraction index of an anisotropic medium varies as
A ray of light is incident at the origin just along y-axis (shown in figure) Find the equation of ray in the medium
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)
physics-General
physics-
Due to a vertical temperature gradient in the atmosphere, the index of refraction varies Suppose index of refraction varies as
is the index of refraction at the surface and a
A person of height h = 2.0 m stands on a level surface Beyond what distance will he not see the runway?
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Due to a vertical temperature gradient in the atmosphere, the index of refraction varies Suppose index of refraction varies as
is the index of refraction at the surface and a
A person of height h = 2.0 m stands on a level surface Beyond what distance will he not see the runway?
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physics-General
physics-
Find the variation of refractive index assuming it to be a function of y such that a ray entering origin at grazing incidence follows a parabolic path y = x2 as shown in fig
![](data:image/png;base64,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)
Find the variation of refractive index assuming it to be a function of y such that a ray entering origin at grazing incidence follows a parabolic path y = x2 as shown in fig
![](data:image/png;base64,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)
physics-General
chemistry-
Metal oxides which decomposes on heating is
Metal oxides which decomposes on heating is
chemistry-General
chemistry-
One mole of an organic compound A with the formula
reacts completely with two moles of HI to form X and Y. When Y is boiled with aqueous alkali it forms Z. Z answers the iodoform test. The compound A is
One mole of an organic compound A with the formula
reacts completely with two moles of HI to form X and Y. When Y is boiled with aqueous alkali it forms Z. Z answers the iodoform test. The compound A is
chemistry-General
physics-
A reflecting surface is represented by the equation
A ray travelling in negative x-direction is directed towards positive y-direction after reflection from the surface at point P Then co-ordinates of point P are
![](data:image/png;base64,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)
A reflecting surface is represented by the equation
A ray travelling in negative x-direction is directed towards positive y-direction after reflection from the surface at point P Then co-ordinates of point P are
![](data:image/png;base64,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)
physics-General
physics-
A bird in air is diving vertically over a tank with speed 5cm/s Base of the tank is silvered A fish in the tank is rising upward along the same line with speed 2cm/s Water level is falling at a rate of 2cm/s
Speed of the image of bird relative to the fish looking upward in cm/s is
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)
A bird in air is diving vertically over a tank with speed 5cm/s Base of the tank is silvered A fish in the tank is rising upward along the same line with speed 2cm/s Water level is falling at a rate of 2cm/s
Speed of the image of bird relative to the fish looking upward in cm/s is
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)
physics-General
physics-
A bird in air is diving vertically over a tank with speed 5cm/s Base of the tank is silvered A fish in the tank is rising upward along the same line with speed 2cm/s Water level is falling at a rate of 2cm/s
Speed of the image of fish formed after reflection in the mirror as seen by the bird in cm/s
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)
A bird in air is diving vertically over a tank with speed 5cm/s Base of the tank is silvered A fish in the tank is rising upward along the same line with speed 2cm/s Water level is falling at a rate of 2cm/s
Speed of the image of fish formed after reflection in the mirror as seen by the bird in cm/s
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)
physics-General
maths-
Consider the system of equations ax+by =0 , cx +dy=0 where a, b, c, d
{0,1}
Statement ‐ I The probability that the system of equations has a unique solution is 3/8 Statement ‐ II The probability that the system has a solution is 1.
Consider the system of equations ax+by =0 , cx +dy=0 where a, b, c, d
{0,1}
Statement ‐ I The probability that the system of equations has a unique solution is 3/8 Statement ‐ II The probability that the system has a solution is 1.
maths-General
chemistry-
Which alcohol cannot be oxidized by ![M n O subscript 2 ?](data:image/png;base64,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)
Which alcohol cannot be oxidized by ![M n O subscript 2 ?](data:image/png;base64,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)
chemistry-General
physics-
A bird in air is diving vertically over a tank with speed 5cm/s Base of the tank is silvered A fish in the tank is rising upward along the same line with speed 2cm/s Water level is falling at a rate of 2cm/s
Speed of the image of fish as seen by the bird directly in cm/s is
![](data:image/png;base64,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)
A bird in air is diving vertically over a tank with speed 5cm/s Base of the tank is silvered A fish in the tank is rising upward along the same line with speed 2cm/s Water level is falling at a rate of 2cm/s
Speed of the image of fish as seen by the bird directly in cm/s is
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)
physics-General
physics-
A Ray of light goes from A in a medium where the speed of light is V1 to a point B in a medium where the speed of light is V2 as shown in figure The path of the rays as shown in figure Answer the following questions,based on the above paragraph The slope of
curve is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKsAAACpCAYAAABUIM0SAAAgAElEQVR4nO2dd5xV5Z3/38855/Y6vVIGGIo0KQpSVFRUlIgFe8HEJCZZNzG7m022ZNeYTbK7vzVld80mMRtNYkfsFUQRELAsCDhDmUF6G6beXs45z++Py4wgwzDlzsyd4b7/kdcd55xnzv2e5/k+3+f7/XxFMBqXZMkyAFD6ewBZsnQWIaXMzqxZMo5QLHHKZ2ecWXVdp6GhgUgk0iuDypKls5zRWBOJBCvefputn35KMpnsizFlydIuWkc/lFISCoV48cWXGDVyJKNGjiQnJwdFybq6WfqeDq0uEolQXV3N9GnT2L1nD1XV1Zim2Vdjy5LlJDo01lAoxPLlK7j11lvIz89n6bNLSSaTWYPtAMMw0HWd7L41/XRorJs2bSIvL499+/ZRVlrKJ5s3U1tbm/VdO+BYfT2HDx/OvtC9QLvGahgGx47V09LSwuzZs/D5fMycOZNJEyeyfPkKQqHQaS+o6zqhUBhd13tt0JmIruvU1tbyP//zP6xes+as+vt1XSeZTJJIJHr1JW13g6XrOjU1OykuLmHSpEk4HI7joSvJww//mgULrjxpo2WaJslkkmg0ypEjR6iqqubKK69A0zrcvw0qFEWhqKiIaDTG0aNHMQyjv4fUZySTSVaseJuiokJGjhyJy+XCbrcjhEjrfU6ZWaWURCIRtm/fQSgUavO9FEVBVTUKCguprd1FOBxByuMRg3CEqqoqHnro5yy5+8u8/MrLhMPhtA4001EUBZfLhcvp7O+h9DmJRIINGzZw2+138JOf/owPP/yIZDKZdr/9lBMsKSWJRILm5hasVgsejwdN0zAMg2AwSDAYwul04vV6sFgs/Hp5NWVv/onXqj9h1bbtNEWj+P1+Jk2ciHOQf3F2h51v3Hsv06ZNa/vsRw8+iMft4d57v86//OQnHNh/oB9H2DfE43F21uxk167PyMnxM2b8RK659W5uXbSAXI8LpRsTbHsnWKes00IIbDYbRUWFJ32uqip+vx+/33/S5yuOSsoarVwaDVEtTWJIYtEoNbU1aJql66McALS+3W6Xi2AwiJTypCWv9eef7fqMmtraPh9fX2MYBqFQCI/Hg8/np3L8ZLY7R7LhaIJ5DgcuS3ri8j12KhudfpovvoUffWkio194jjePNRCZMp377r8ff05OOsaYUUggpkvihsRvV7FaLKf4ZoLUS//EE4+fFb5rMBjkz48/zpEjR7lx8Q1QUsl97wc4WhNnfJFBRaYYqxQC4fbgnX8FI4cN48alzxCyCDzSxKooCMvgml1jhuR3VS3saEryyCUFtNqpaZpEo1Gi0SgOux0ATdPOik2moijccvPNSAl2r59X9yepajLYHzZZfyROhTc9NtBjk3dqArfDgurx4pk4maFf/wYlSKLPPol+8AAyFoVBFHPUTcmWhgRbG072qaSUHDx4kPz8fBwOJ9FotJ9G2PdYLBZKSkooKS0hgoXnP4sQSpo0xExe3h0mmDQx0rDX6vFrf0ulm4QhU0ufzYZl+Ajy//r7tCx9mqY//A7PVV/Cfu5UxPHZZrCiqiqVlZX81Xe/i5QSVVX7e0h9j4T3D8f4v2NxAOKGpLoxyf/VxZlRZMeh9SyU1WNj/VKFE90k5agBQlFQvT58i28mtmUzLS8uQz92DMcFs9Dy8iHNsbdMQgiR9tjiQEKXkp3NSRZVuPgsoLO5PsGUfCv7gzrnF/X8+j021q0NCY5FDRaPcqc+EAKEQM3JxTH9fITDSfDF5zCaGnBdMh+toBBhtQ5Yo1WEwG9VcFkG5vh7C0lqvvrmBC9hXbK0NkRT3OB7U/0UOlTSscfqcaXARc8fwqIIli8qaT+eZpokD+4n+MpLJPbuIecrX8c6qhIxQJfJpCl571CMppjJ4lEusiZ7KjFdsqk+zt6AzhXDnOTYum6p3aoUOBOSz+OK7aIoaEUleG+6FefMWTT850NE1q3FjERgAIZ1TAmFDpXzCm1n+MPPXhQBY3IsXD3ciauHfuqJ9ElcRVitqDm5uK+4CsXjJfzOCsxQEMf081G9PoTN1hfDSAumhMe2BdlSn2D5opLszNoOhoQPjsRJGpKLyx1Y1fQ8pT4LAgpVRTiduOddilZYSMtTj5PYsR3vtTdgGV7RV8PoMYaU1EUNAonBE45LNzFD8mlDgmdrw4zOseK1pudQoMdXGerRqPB2weYVBdvoseT99fdRvD6aHv09sapPMaMRyCYsZ+mAHs+sP56RiyFl5zf3QiDsdjSrFc/Ca4isWU3LU3/Gdel8HJOnoPpz2iIKWbKcSI9n1keqAvxpe6jrmw1FQSsswr3gKrzXLSb4+isEXnoeMxbL+BlWzb5LHdKaG6Gk+Tn1OHQ1/6XDWBXBKwuLu5UKhmEgk0mSRw7R8uTjICX+u7+Cll+AsGXeqZduSrY3Jdkb1LlquDO7wWqHhCHZF9KxKII8u4K7G0HWXgldxQ1JrCcHv6qaOqYtH4r/jiWoubm0PP0ksa1bMFqakSeGt6SZAbOuINeuMrN44EQw+gO7KrCrApHG1zkzBACEQGgaliFD8S+5B1vlaFqeepzAsqXIaBRpGMhEAv3YMaTZv7FZ3ZT8eXuQf1jf2P/vTYYSMyTL90X5+w2NNMXT932lLXSVlu9NCBS7Hdel81ELCml69Pck9+/Fs+h6zEiE2Mcf4rv5NrSi4nTcrVsYEmpakmxrzFb4ng5TQnPCZFtjomer7hfosbFeN8JFY8xI32SvKCguN/ZJ55L7F98m8MyTNP/pD5gtLeh1dTimTEPNy08d1/bDLkeScnuSZnZaPR0SMExJ0iSV5JQmeuwGfG28h/vP9XVvc9UBisuF/ZwJ+O/6CkZjI5G1q0ns3E7wtZeR0WgG+K4Dl9Y6O8MwkFJiGAamaaatwK81GqAK0moXPTbWj+vifHQ0nn7bMU3MUJDAsmdJ1OzgeCktkTXvEXpnBTIrtNFtIpEIt912OytXriSZTLJ9x05+/vNf0NTUlBaD1RTItytMyrd2K4nltNft6QX+bWMLNkVw+dBeCOMIgeP8Gai5uSR2f0Zy/16M+nqCL7+AdcQorKNGoTjSW0ErpUTXdXRdx2q1oaonP2yLIvjScCd1hWl0ffoYXdepb6gnHI5gmpJYLEosHmuTPeppTq5FEVxYaufyoY5uha1OR4+NNZw0SaTbBwBQFFR/Du75VyLnXYaMRjACARK1NQRefI7mxx8j9+vfwjJkaKrOK03+q2EYLF++nKKiIiZNmoSqWk/6uVUVLKpwDfxDNvn5P6SUSPP4f6VsU1XprlqkKsBpUXBrIi15rK1kRujqDAhVRXG50QqLcJw3g4K/fwDnzFk0/f43qQyuSPryChRFIT+/gJycnHZLUxKG5K19EZ7cGRrQbrNpmsTjcXRd51hdHdFYlHA4TDweZ8+ePTQ0NHRbCiiiS56rDXHNa0c5GM7A0FWvcnwaE8erZRWbLRXeys8n/N67GI2NuC5fgOr3I3pQTdqqRjNiREXbpuOLBqub8MbeKFWNCZaM9QxIV0AIgcPpYM3aNVitFtxuN/FYnOrqagoKCqiprWXEiBHk5eV16/qGhKguCSZNonoGha7sqsCqitQs01ffnKqien04Z8zCUjaEhv98iOShA+Tccy+K24PQVBDdWzR27NjJ4088zryLL2b+/PlYvlBKLpGEdJN4GuOHfUnrUl9eVs6NixdTUVFBbm4uo0ePxmKxoKoqmqqh94L8jwSkabZFISBVrt7Z2rUeG+vSBUVEk5L+EMMWFguW8iEU/OCHtDy/lIb/+iWehddgG3dOtzZeQggmTBhPcXExsVh8UMpWmqbJ4cOH2bN3L8XFxZSWlqIoCg6H43OBvViUZC+oIJqGQUtLC++vW4eeTBIOR7jsskvJz8/vlL5Cj00snJTo/eW8CYGwWtEKi/DdcDNacQmBZc+iHz6E2c1YrM1mw2q1DkpDhdQLaXc4mDRpIn6///PZVNPa/u1xu3G73N2OClgU8FoV8u0KXuvn1zAMgx07d7J+3XrKysr46KOP2Lp1a6f1fntsrPe+e4z71zT072ZDUdAKCvDecCNaYRENv/gPErtqMGPRkxNhOstxdcR2b3W8utWdpuz3vkYIwZDycv7lxz8mNzf3lJ/ZbDZmz57NkCFDuh0NsCqCq4c7+dP8Qvy2z31+0zRxOp3MnTsXu92BzWbl0OHDnTbWHrsBoaTMDP9NUVD9fnLuuZfIujUEXlyGbfRY3Jddjprb+Y2Crusk9ZQwbnsGa1cF/3R+DuGkTPupXV8ghGhb9tubOYUQPRbokKSqgF0WhRNsFSEELpeLxsZGQuFQW/Sss9bT4+nBkDIt0jDpQKgaituN84I5eBcuIrl3Ny3PPkVy725kLAadyNhqbm5m5MiReDyeU9SrTdMkkdRpjCZJ6MaALW5tNdjTLfM9FetImpLVh2L88weNNMY+d6eklGxYv569e/cyfNgwnE4nsViMRDzeqesOjNBVF1E8HmwTJmEdMYrIB+to+K9f4r1+MbYJk1Ccrg7DWz6fj6uvuqptVg2FQsRisZShJhLUB0I8tDnIAell5a1jBvbBQC+RNKEuYrD+SJyGmEmB4/PpdeLEiaxevYbly1dQMbyC3Xv2dFoXLH0pgn0ZuuoEQlURLhfOuReh5hcSeP5Z4tVVuC67AmsH1bStyn+6rrNx40ZWr1lLbW0NPp8Pt8uN5nCxY1cQdegEYDQZ9UdnODabjfHjx/OrX/0S+PyErLNuR4+N9d9n5SJJT3aNlJKWlha2b9+OEAper4fKykpUVaWlpYWq6mo8bjdjxozBarV2vFQJAaqKotixjR1HzpJ7CK9dTWDp07gXXI21YgSKy33KrxmGQUNDA88uXcqu2l1MnDSRu+68k7y8PDweD4ZiZcv79XwWHZSLUlpQBdg1Qe4XogFCiB7JgPb4ibdO8elaDhVFYe3atbzz7ir+6Yc/RDcMVFVF13VeefkVpk2fxtixYzt/QSFQHA6soypRc3IJrXiTxt88jP/Ou7GfMx7F7QEh2oLlBw4c4NHHHmPPnj381Xf/itGjK3E4HG2XCyclvjyBrTHB2TCrtqYQJpPJts3XFw9KvohFEUwtsHFRqR1fGqMm6gMPPPBATy5wy1t1rNgf5ZZKd48NtvVhFBQUsK16Gz6/jzGjR2O1WjEMg0gkzOzZs/H5fN3aACg2G9aRo9CKigi88Bx6XR328RMRioJpmgQCAX75q19RWFjID77/fcrKSk+ZwYUAE8i1q8wptQ96c00mk+za9Rnr1q9j7969KIpCXl5eh89fE4JSl0qhU8OiiG7ZRUI/dTPc45k1ZqQ3GqCqKkOHDmPcuHE88cQTzL/sMkzTZP/+/eTm5pKTk9P9naqqojgcOKZNR/V6Cbz8Ig3/+XP8d95No27w4L/+K6NGjuTGxYtP+0KoQjCvzMG8Mkc7Nxg86LpOIBDg7bffJhqNMnv2bOLxBC+88CJFxUVcd+21p/SXaCVupITZPBaFUrdGbppyWjMusi2EwOGwM2vWBQRaAnz88cc0NTWxatV7TJgwAavVeuaLdISiIKw2bGPPwX/7XZjBAA1//APvPvMM+2pqWHz99ZSUlJz2hZDAkYhOTfOppcKDiXg8zsqV77B58xbmzJnDiBEjGD26kptuupGlS5fy4YcfnjaYHzckG47E+eaqeprTWDCYccbaysiRI1m8eDGr16zlk82bcTqd+P3+9ClKqyqWsnLy//YfSA4dRsP6tfzj5ZeR7/F0OHPHdMlDm1q4f+3grm6NRCL89ne/o3xIOUOHDkVRFDRNw+v1Mm7sOD788CMCgUC7v2uSir/HjVQdVrrosbEWO1VKXenXWnW73Vx77SKqq6t48403ufzy+W2Gmkgk2L//wGkfVqdRVRSnk4LLF3DL3/6A4j27iLzwHMkDB06bVyCRRA1JMlNOQnoJXTfYtWsXDrujbffeuqcoLinmyJEjJBKnX12kPJ5llcbHpOm6fjzpNoGmqTidTqxWK+FwuC2ZQxzfLTudzlN2gj+fk8fBkJ724LjVaiUnJ5exY8dRXFx0UvvNeDzOG2+8zqWXXobX6+3ZjYTAlpuL1T0Zd8nf0fLHRwm8+Bzeq69BKytPaxXCQEJRFfx+P4lEAl03sFhSBiuBeCyG2+M+7SqnCnBoArdFYE+nPmsgGOSN19/g7ZUrKSsr5e4lSygrK2P16jVs3bqVyZMnIwTU1NRw6623kpube1KCQ75dxaWlU3fjcxwOO0vuuhO323NSL1BFUbDZ7KRTzVdYrFhLy8m591uEXn2Zun/+B3K//VfYp0wdsCrdPcFmtXL11Vdx9OhRmpubyM/PRwiBnkxSVV3NokWLTrvBcmiCS8sdjM+1UuhI37NTPG43l18+n9GjK9n4fxtpaQlgmia6nuS8885jypQpmKYkHI60m4Vz98pjfLeX/DdVVRkxYiQlJcUnd/CTEt3Q05vGJ0QqGSYnF8+1N+D/yldpeeKPRNa8hxkMtmVvWRXBOTlWhnq0QR22cjqdfPnuu0kmk2zdupX9+/eze/du1q9fz/Bhw7j4ootOG9yXEopdKjOK7aQzOU2zWCzk5uZyzz33sGvXLpavWE44HMI0JVOnTcXldFJaWoKUst1To0PhlABXb5y2plLWTt39t8b6eqMhmlBVVJ8P56y5ICH83rvox47hvGAWWn4Bms3ONyZ4kNIzqM8ELBYLFRUVLFlyF+vWrWfjxk3U1NYwfvx47r//u+Tm5pw2hVCXsPZQjIguuXq4E/fx483WE8q9e/dimCa5OTkMGTKEaDTK/gMH0DSNstLS0/b8VSA1g/m8Xr7+ta9RXVXNiy+9xMUXX4TP68VisVBZWcns2bNwOp0Z0TrH4XCw4MorGTJkSO/c4HhSt/PCi/Ev+TL6sSM0/e9vSezeBaQSNRrj5mC21bbMrIqKCm666UYWLLgSp9NJbU0NmkVrM1RTnrq6JQzJjmadX3zSwqETCgZby9w3bdrET3/yUz76+GPi8TiBQIDnly2j/tixUzLdTuSkqcnhcJCXn8emTZvYv38/NpsNp9OJw+HIqA7XQgisNluvG4tQVSylZfhvvoPwqpU0PfZ7LJcv5CGzkq1RC6996TQdagYRiqK0TVh/94MfcPToUao+/ZRhw4ZRWl7G5oZdvLX3Q2aVTKDSX06+w4dESx3TypTuVStCCPx+PwsXLuTw4SO89dZbTJ8+nf379jHzgguYNGkS9g6a+2mQCgUFg0F27NjJomsWYbPZ+cOjj/KX991HRUVFhxnjFiWOIRMcCGmD94uzSsw55xOWEZqe+QPxvDk0jTyPAyEVJQNWmr5COsE3rBB3eR4oCvtDdbTEQ7z42Vp+V/Uqlw+dzkWl5zLCN4pAwob+hfzh1kSWvLw8FixYwM/+9Wc89dRTVI6qZN68i7Hb7R3G0YWUUtbV1fHCCy8wb948hg4dytGjR7n3G99k0aJFfPnuJdhsttMu/3/ctokfffgYflskrQ8m85BI3cBxqI5bVtdxML+At68oRZ5FxvpFJBLdMNgTPEI4GUMIgdvioNhZjkW5BF1O5cWrhzM259TEl3A4zLvvruKBBx7gL//yL7nrrjtPsrH2xIS1hoYG3lq+nJZAoE3YweV2c+GFc6murmbTpk1MnTr1tCl5lw0ZxrsHy0gYncv2HtBIie4dytNqiMVrdnDpmlr2XzoD4T411fBswJAmUT3GsVgzUT2O02JnfO5w5pScy7zyqYzJGUJ+O6ErKSUtgQAHDh7k+uuvZ8OGDUydOqUt9fN0iGAwKFsPALxeL3a7nUQikRLpAiyaRk5OTlt99xfRTQNdGu062oORmC75yUfN7NqwiV8eeBn3ouuwT52GchYabNIw2Nm8nwc+eBSEYFrhaK4aNpPR/uE0xzXsmoLPquA6QUOoNbvt/fffp6CggNzcXB555PdYrBbu/8538Pl8WCyWdmfWHvcUONswJRyLGSTiSfL3bKP5j78n5977sI8d199D63MSps6elsPEjSSl7nz8NjeKELTEJY/vCLJ8X5RfzM1jpC/lBrQq3jz88K8ZOXIE1157LUII3nzzTX76s3/lK1/5Mjdcfz0+n699N6C7A23VStqxYwcHDx7C4XAgpSQvL5dx48ZhsVi6XcqbySRMySfHEqhISkePwTH9fMKvv4Lm86MWFPRIvmigoQmV4b4SBAJFCNQ2FZyU4PLRqHFS+qiu6+zes4fRoyspLS3FMAw0TaO0tIy/+NY3cXs8NDY2nvYIvdszq2maRCIR3nzzTf7nN7/lumsX4XK5qa6uZt4l87j4oosyKtyVLsJJk2+vbmBbU5K11xVhNjYQWPo0wmrDd/NtKXfgLN50ATTFTX5fFeDZ2jB/nl/YtsFqVShsldVsncxaqxFaP1MUJb3dWhRFwe12M3ToMLxeD3PmzmXhwqsZMqScRx75PS0tPcyIylAkEDcluilBUdEKCnEvWEi8Zgex6qruiWoMQoQ4roB90meiTf1FVdW2ku/WWK6maR2uxulbp2WqbDkUClNWWorV2nGdzmBCKy7Gd+MttDz9OLFPt/b3cPodmyoY4ta4pNxBoTN9iSxpcbCSiSSf7f4MAbjdLm655eYOTyIGG4rDiW3ceBznzaDl8cdQHHasIyvPKv/1RDQBc0pala8zrIW7ZtEYOnQoY8eMwW6390qCSSahHW/1eCKKy4X/lttpDAZp/M3DFP7wQdScnLPSfxUitRH1CIGaxr8/LW6A4GRfZDBjVxUeOD+HRy4pONUOhcC7+GasI0cRWv4GRmNjv4yxv4npktf3RLjhjToOhtMnndltY23NoAlHwqiaRigUAsiIrKzeRCIxke3XwwuB6vPhuepLxLZuJratCplInHVtkHSZkmpvjpuEk+n727ttrKZp0tjYiKqqfO1rXyUej3dYk9NZpJQkk0mSyeRJCsmtn5/4WX+QMCT/8lEzN791tF0bFJqGpawcz4KFBF9+gcTePcgM03qVUhKNRtvS8VpFLDL9fKjbzmVrAvSM88/HNE2EEGdU6jgThmHQ3NzMW8uXEwgEOPfcczl38mSsViv1DQ288frrlJSU9mturSTVv7WjBoPCYsEx/TySR4/Q8swT5H3rOxnlv0YiEb7/gx9w0003MXPmTPbs3s3769Zx3bXXdltApC/o9szaGjOz2Ww4HI4zpnd19pqaphGPx3nllVdIJhKft7kRgsOHj6Cqar/7xSZnWNkVBWF34Jw5CzUnl+bnnkZvbu6r4Z0RXdepqqqisaEBaZqEwmEOHjx4Wk3armJTBeNyrXxnsjetTdsy6jy09aDh0ksuZfTo0Wz99NO2h6eqKmPGjmHyuZNPKh7MZCylZbgWLmLPi89T8/xzyEQ8Y/zXlLYXbT2wOKEHVmvTuu5iVwXzhzi4aZSbPHsaCwbTdqU0oSgKJSXFTBg/nqVLl1Lf0EAwGGTbtm2UFBfjGWDZTU2KykMJyarnlxFa8VbGtPFMbZBTfmowFCSZTJXk79u3jxUrVlBdXY3RzdO4iG7yzoEo/701wOFIBkQDeotW33fOnDnYbDY2bNhAc3Mz69atY+zYsT32i3uKRRF8fbyX/zc794xlNXXHjvHG22+TM3os8+5aQvTDDSQPH0qpcPcjKXfLwnur1/Dqq6/R3NRMMBhk48ZN6LqO2+Nh27Zt3b6+bkJVY4Kna0JEMqkPVm9RVFTEXXfexfp160gmkgwbPhyH04lyXPEvmUy2+a996RJYFcGUfAuGKZFIvqiYYB7v8xQOh1mxYgWrVq3iwQcfpDzHT8SiEVj2DP7bl6DZivqnBf3x5b5i+DCmTpnC0KFDOOecc8jLz8Pn8zF8+HB03cDj7lhGqcN70NYXOq1eT8bNrK243W4uvvgi9u7bxwcffMCFc+eiqSpSShobG1m69Dm2bNnS5y2AYrrBbz/Yxw+XraO5ufmU+4fDYVavXsP3vve3fLJ5M3/7ve9RXlaG6nLjnD0XGQ4TXvVOt1sf9RTDMDh8+DC7d+9hxswZnHvuuTidTmbOmMGokSM5evQoDQ31GZnbkbEzq6Zp+P1+5syeQ3FxMX6/vy0jJ5FIcM74c/jwww+ZMGFCh80c0o0hYUtDnKq1a/jp5lcpKSomNzcHgFAozL79+1GEYPbsWVx00cUMGzb0czlyfw6+O79M8x//F8Xnwz3/yj5XexFCIScnh2sWXUNhQQE2my01NlVFURSampowTYkQ3X+mKfkghXyHij+N0YCMrhQwDIODhw7hdrlO6tnUKqW+f//+NhnMvjLWUNLkG6vq2XIkyJ8mR1j//vvs27ePpJ6kpKSE6dOmc95500/bugcg9M4KQq+9TO5938VSPiSlp9XHnK5V+4nm0N1nGtUlWxsS5NgUhnk0rGrXr5PWSoG+QFEUSktKTspxlFISDofZWVND3heajvUlVouVcWOHUjlyBIZhAhJFUbBarVgslg6/aOf5MzFDIep+/E8UfP8fsY3pgux8muiorVBPsamCKQVWFCHS6mdmtLG2HhJ88bOmpiYS8TiRSOS0hYy9TWvCsO1E307G2fb2M7y6fgdDy3LZfCyX2+69i/F+5aS9lOJy4774EhI1Owm++hKKx4OlpDRjTrh6SsKQLNsV5pU9ER6+KO+kWGvrsXl3TjwzdoPVEcOGDeOSSy5h2rRpfX6apQjBGL+FGcW2U38oLDhy3NR9vBpz+LksuGQqXqs4VetQCBS3h7xvfRukJPzuylTCS4blEHSXqCE5FNbZ1ZLkWPTzv8kwDPbvP8CyZcs63fvqRAaksfYndlXwnck+/m1WXjsKNAoWmwN/fg7jK8YyY9oEypyn5r6m/lcFYbfjvmohyQP7iVV9mjrhGsQkk0n27t3DE08+SVNTU5d/P2usXUQ3Jf+9JcAdy+vaz7oiNftqqoZFVehwbyEE1oqRuOZcSMN/PkTyyJFBM7u2hxACr9dLPEc1kjUAAA4aSURBVJ6g7tgxanftoqGhgfjZ3A6zN0mYkuqmBAdCejsynwaJSJg4FpqCUUzgTE6K4nBgmzAR58zZBF9+Ad9Nt6EVF/fW8PsEVaT6o80osmE/4W1tLRCUUvLBBx+wd+8+PG43t912K6NGjTrjdbMza1oRFFRewJ3f+xGVZXmdfriK24P/jiXIZIKWZ58Y8LOry6JwTYWLH8/Mpcx96uuqKIKpU6bwjXu/Tm1tLa+9/nqnsr2yxppWFFy5pYwcew6FOe5OS3IKVUVxufBcvQj98GGCr76M0ZI5KYVdxZQSIcChtl+DJRAUFRVRVlbG+eefT2NjY6eyvLLG2kUUIfBbFZxprNoEUo04KkfjvfFWWpY+TfzTrch4/ya8dJeEIXn3QJSnakJE9ZNXCSEExvH8iVTSPhQWFHZKvSdrrF3Epgq+NdHLD6b60x8WVVXs54wn977vEF61ksSu2jTfoG9ImrAnqPNIVZDDkc/TDFtjq/F4nJ01NRw5coQ9e/cyd+6cToUgs8baRRRgmEfjwl5qhymsVuyTzsUyrILw2tWYwcCAU3mRgGFKkqbkxIlVVVWGDx/Orx9+GD2Z5PCRI3zvb/6GkSNHduq6WWPtIoaUrD0c4/Edwd65gaKgOBw451yIDIUIvvYyMjLwhJrbkw9SFAW73c7EiRO49tprmT1rFoWFhbhcrk5dM2usXSRuSJ6tCfPYtlCvZvhZhwzFc811BF99mejGjzOuQrYjUkaaOgxJp6uUjbN2kZOE2XoTVUUrKSX3vvsJvv4qiseDY+r03r1nmnBogpsrXdxc6cJtGaQFg1lORnE6cUw7D9uoSoIvLkM/fAiZzPxu3IqAmCER0K30wNNeN21XypJ+hEBYLHivvxGtqJj6X/4HRnNLf4/qjISTklf3RLh9RR0HQ4O4YDDTsamCq4c5+VKFs88y+hSnA++Nt6B4PEQ+WJfxBwYSSBqScFKSzubhWZ+1i2iK4LoRrrbdbp+gqKg+P77FtxB4aRmWklLs505FKMqgyYHtDNmZtYsYpqSmJcl7B6Np7Ml9ZoTNhq1yNLZzJtD850cxmhoHVIQgHWSNtYskTXh0W5B/39jS98WpioJr7sU4pp9P43/9AqPuaMYovJyIXRWMybFw7QgnxWlUvs4aaxcxpKQuahBI9MOsdlxS033ZFQiHk9A7b2O0ZN6GS1XggmI735nsw2PNRgPOXoRAKygkZ8lXiG54n+j69zNudpUSDoR0jn2htVBPyRrrQERRUAsK8d16J6F3VqRyCKKZcyQbNyTvH47x9XfrqYukL68hGw3oIpqS6kTSEO3HzY0QCFXFMXUaUtcJvfEqlvIhWMrLEZbT9z7tKwyZ0g5ojpuE0qh8nTXWLmJXBT+94MyibL2OEAi7A/vkKSQ+qyX83rt4Fy5Czc/v75H1Glk3oIvEdMlj24L8anNLh+rXfYXidOK+7ApimzfR/PTjmJEwMhZDP3qk38bUVjSp0HHBZBfJGmsX0aVk5YEoT+wI9fdQgJQkvFZUjPfaG4isW0vghWVEP9lI0x8ewQyH+6Wey6oKJuVZ+btpfrztNQrpJlk3YBAgNA3nrDkYTY00/OLfkYaBVlhEYlcNtnHjUyddfYhDE1xcbk+7fFB2Zh0ESD1JrGoriZqdmC0BjPp6jPp6Yps/SSm99DHhpMkbeyP87OOmzOiDdTZjUQRqJj05oSAjEWKfbkFYrQhVwwyFSOzc3i8phUkTdjQleWl3JBsN6E8UIRjm0TIqDi80DecFs7EMryDw7FOEVryJfugQid2fYYbDqD7/oEh4yRprF7Gpgm9O8GIcr43PGIRAyy/Af/c9uC6dT3jlCkLvvE3y4AG0vHzEIGj8nDXWLmJKSUPMQDclJa7MenzCakW1WlF9frTiEtSiYlqefSp1YFBcAn200dIEOC0KeXYFbxpzAzJa+ToTaVW+3tmUZMONZe0rBGYIZjhM42/+GwyDnK/ei+rP6RODjRmS7U0JfFaFcreGpRsPqT3l60zaJmRJM8Jux3/n3QiHg5ZnnkzFXfsAVcAIr4UCh5rWg5OssQ5ihKqi5eXjufJqkvv3EavaihkM9Pp9dROe3xXmjhXH0ppKmTXWbqAwgDbXqopl6DC81y2m5ck/E9++PaXw0oveX8yQHIsaHAzpNMSyxtpvKELgtign6Y5mOsJiwTZ+Au4rFhBa8QbJPbsHnCQRZI21y2gCvjnRy5/mF/Z/5lVnURQUmx3nnIuwlA8ltHJFKuGllwz2xEQWLY0WljXWLqIIaIiZfHAk3oflrWlAVVF9vlQOQd0RIuve77UesqqAQofCvDJHWlegbOiqi0R0yd+sbaCqMcG715VmdOiqPWQ8TuKzXdT/20/w330PzrkXpb3LoSEhdHxj5dBE2pq2ZWfWLmJKSSBpEk1jt+e+RFitWCsq8N99D+F33yZe9Wna28qbUpIwUyd86dyIZo31bEMIhM2G84LZ2M6ZQPDlFzBDQWQnZNI7S9xI5fz+b3WQcBoTWbLGejYiFITVgmvepSg+Hy1PPY6ZRkki3YRDYYNlu8I0xNK3icsaaxexKIJpBTYm5PV/YV6PEAqqPwfvoutJ1NYQ/ehDzFAoLfHXVuXruCFJprFQIbMyMQYAFkVw22g3wYQ5cA4GToOwWtGKivHdfhfht99CLSjEPmkyQtN65Gy2hq5UQVo3oNmZtYtIUl9AvmNwPDphtWKfOBnbhEm0LH0KMxLpcfxVFWBXwakp2LKhq/4jZkge/LCJT+oTvLqweMCFrk6HfqyO4IvPY7Q04b99CVpxSbdn17ghaYwZCFKpgt0pGsyGrtKAbkr2hXTqowPvuLIjtLx8PNcswmhpIbTqHcxQsNv+qyKgJWFiSLCm8W3OGmuWFIqCmptP7jfuI7GtisgHG7rtDkR0yZv7otz8Vl22YDBL7yA0Fa2gENdlVxBZs4rEzu2Y0WiXr2PKlPJ1uqMBWWPtIooQ5NrUtHYhyRiE0tY0zjH9fJqf+DNG3dGMydAahE+8d7Grgh/N8PPoZfkDPnR1OlSvF+eF81Dz8giveieVsJ0B+/CssXYRCcT0lJrgoOV4l0PfDTeh19cRWfNeSn+gk1JEdlUwMd/KHWPcFGaVr/sP3ZQ8WxviwQ+b6dOmAn2MsFqxDBmKa+7FhN5eTmzrFsxEvFO/qykws8jOV8/x4E1j9/CssXaRpCnZdCzB5vr4YLbVFIqCfdK5eG+4iabfPExyz+5OuQNJEzbXx9nSkCCaRunrrLF2A13KjJC77AuE1YpjylSc8y5JiWYcOnhGg9VNyeaGBP+4oYnmeLYGK0tfoSgIhxP35QsgkSC0cjlmtOMjWUNCXJcEEmY2RTBL3yI0DS0vH/eVVxHfuoXImtX90lY+m3XVRWyq4J5xHpriAz/rqksIgWVYBb7b7iLwzJNoRUXYzpmAsJ6aKqmIlKCwSxNprcHKGmsXEQjG5lixaWeTpaZQHA5slZU4Zl5A8K030ErL0fLzT5EksiiCaYU2phfa0toHK5t11UVCSZO/eK+e7U1J1i/ObK2rXsE0MWMxmn73a6SeJPdb30axO04yWFOmstOsCqiK6FYRcDbrKk0YMiMOdPqH4wcG3usWI+MJWp55CiNwcpfDqG7yxp4I//RBE4fD2bKWLP2JEGglpfi/8jVimzcR37Ed8/iGy5QQN+CzQJIV+6O0JExMmZ7zk6yxZukWwmpN1XBdfyOh5W+Q+KwWQ0IgYWKcsOwYpiR43GB7SnaD1UVSWVcKrsGYddVFhNWKY+p09EMHCDy/FF9uPr/dp7EtBHuDOnuDOj/7v2YWDndyTYWzx88s+8S7iKbAHWM83D/Ze3aFrtpBqCqK243r0stR/TmEXnmRYmK8sy/M+iNxmuMmWxsS5NkVRBoeVtZYu4hVEUwvtLFwuHNASV31Jlp+Ad7rFpOo3cmMo1VM9ArihkQiGZtjYXaJPS3x1qyxdpGYLvm3jc188736syY/4Iy0Nt+49U5sa5ZzXawWuyLJt6ssHO7EoSlpCfFljbWL6FJS1Zjgk2N9318qkxF2G/aJk8i98EJGrX6RmfFDnJ8juKjUnrZYdHaDlSU9CAVhUfDMu4xRzSFuXfUyFRfdR4EjfcnXWWPNklaE00H+5fO5vKmBHE8yrSIXWWPtIooQeC0KjrMwN6AzCFXDlpvLkLuWoLhcaY2YZI21i6gC5pU7GJ9ryUYDTkNr87i0XzebyNI1TAnNcQNNEXisStZge4n2ElmyM2sX0aVk47EEdVGDW0e7+3s4GYlhGASDQbZs2YqqKpSUlBKLRTFNk/z8fPLy8rBYLF2+btZYu0jCkPx5R5DtTUluqXSf9adY7WGaJsFgkP946CHy8nL52le/RktLCxs3bsTpcvLVe+7plrFm46xdRBWCPLuKN5sbcFo0TaOwsJAcv5+SkhKmTp3ChRfOZerUqbz66mvEutklJjuzdhFNgS+P81AXMbKz6mkQQqCqKkIIopEo9fX1BAIBtm/fTnl5GUo3mx1njbWLWBTBxDwr5PX3SDIfU0oamxrZvmMHtbW1rN+wnmlTp6GqKlLKLie3ZNeyLL2GoiiUl5czd84c7rj9dr589908//zz1NbWkkh0vZ1R1lizpB0pJVJKTNNEmql/A9hsdqw2G4FAEKUbCQNZNyBL2pFSEo1GicdiNDY2Ul1dTSgcZuXKlUycOJFx54xD7UZXw+yhQJa0k0wmOXToEEeOHEFKcDjsCKGQk+PH6/XicrnQtI7nyfYOBbLGmiXtmKaJYRiYJ0hkCiFQFOWMRtpK9gQrS5+gKEq3w1MdobVnwVmyZCL/H9KZu3WV4XtUAAAAAElFTkSuQmCC)
A Ray of light goes from A in a medium where the speed of light is V1 to a point B in a medium where the speed of light is V2 as shown in figure The path of the rays as shown in figure Answer the following questions,based on the above paragraph The slope of
curve is
![](data:image/png;base64,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)
physics-General
physics-
A Ray of light goes from A in a medium where the speed of light is V1 to a point B in a medium where the speed of light is V2 as shown in figure The path of the rays as shown in figure Answer the following questions,based on the above paragraph The time taken for the light to go from the point A to the point B in the figure
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)
A Ray of light goes from A in a medium where the speed of light is V1 to a point B in a medium where the speed of light is V2 as shown in figure The path of the rays as shown in figure Answer the following questions,based on the above paragraph The time taken for the light to go from the point A to the point B in the figure
![](data:image/png;base64,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)
physics-General
physics-
Spherical aberration in spherical mirrors is a defect which is due to dependence of focal length ‘f’ on angle of incidence ‘ q ’ as shown in figure is given by
where R is radius of curvature of mirror and q is the angle of incidence The rays which are closed to principal axis are called paraxial rays and the rays far away from principal axis are called marginal rays As a result of above dependence different rays are brought to focus at different points and the image of a point object is on a point Which of the following statements are correct regarding spherical aberration :
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xPtQVIXZeFBTkE0xwVSdnB/cKlDyVn+EBtmKY5NFhLVFO35POxFxRguHKRnHEjSRrSl+hdO+p6yAtH/jzXLj+Xrl2mmi0qKlLZ6F4hlLArFIomTjW5MW6cWTmmXtgHMHHHMQ7cdeOWiyuurq48EOJ+8/IJdi8YQef3f8d/vdmSET+QsMve7SVVVh7pkpm3/wIfjpjNL1v1oGXvYczYcgjnsBQySytJTElj9+499O7bj2mzZuPh409ZuaF+K18is9BZ42MpO36EvAmjyRk5hJJtmzAF+lHzHTuB1phNWmGgeN1K0gf3JX7ODKIvnK8TdynszxB3bRIZ8RobE6NN6yrH6CvX/mqghF2hUDRxbMKxP+KccOwD3vuAdt3Gs+iSG87xmcQkpWhjsjMy66rir22ZQv9P/8Cv32zFiBWn8Er886riJYXmGrzyLGwLLaXv5Wh+tfIGfz98NR+OXsjcvWdwi0ojr9xEVk4eR44cpV//AUyZMgUP90foy8vqt1KPzUZ1UgLlp49rMwzmDB+kdZozBwZQY5CFgO/Yzl1bg6O4COO1y+RMGkfygN7ErVhKlKtLnYDLKvlniPvTbe2yh7zKRvdqoIRdoVA0cRwUJXpzbdMURnzSgi79Z7HGLYHHMh38U6JdVRiPz5F5jGz9Gr97pwNj1l0iIN30nTvPyQywFdU1pOrteOWYORRtZLp3Cd3vFmm92zteTWXYuSBWX3bnln8EqfmlVJqrMVaZcbp1m0GDhtCrZy8OHTqk9aB/ulOaTDQje7zL6YZzRg7WerWb/LyFU9fXL/E9sNuxxkRTsn0L6d07Ej+kH9EnjtX1kJcJa57R3i6FXb7KHPIyG52pPhudonmjhF2hUDR59BkhPDy4kOmdP6X7wGksvBWHtzDDDRnbJKaCCB7tn8HQlu/y2ieDmbnbhciC6u803M1eU0uZ1UFAvoWtYXoG3Svk0+u5tLiWS7c7Bcz1L+N8QgWPs/UkC0Ev0ldgsorvsDuosdsI8vVh2qTJfPbpZ1oP+utOTmRmZVFaXEx5TjYFt66TNWsKWYP7UrR6uRB1n/p5DL7voLw6HMLtV953JXv4IBI7tiZ2zQqiH9yvE/UX6Egnx7XLmd/KVA/5VwIl7AqFosljLYon/NpW1o5oT+9BE5l4Mpw7aTVPJagxC/H3wGnjWPp+9jkfdF/EuotBZFQ6vlq5/Ry9Mtlq0JVY2RGh1zLDvXkpmzZOeUz2LOZglBGfXDOFpm+KcK1NiHtGKukP7nFy50769RtAy1atGT12HDv37OH8yVPc2L2Lh1MmoBvYh7z5s6h0vYtDCOkPghBia2KCll45tXsH4qdOIPrcGXTBwc9ta9dCfC470eXJHPKqrb3Zo4RdoVA0eWor88kJvMyZ5SMYOmwcvVff43igHkNDk3BtPvmh5zg0ZxA9Ow2l74ILnPfP/NaUstXi/VKLg5xKO4VmB9b6cWhVQtiDCoRbD9czwaOY6T4lHI0xEigcfGGVA4tYrzHJs5eWUHnjMvm7tqO7dIEDQsyHjxpF927dGdizB2N79GB6q8/Y07Y1QTOnUnbzBvacnK+kiv1zsZcUY7xxldwZk0keNZSYjevQ3b+HLiTk+cIuQnaiS09LQ19e/iQbnaJ5ooRdoVA0fWpMmHJCCLiwjtkTJ9NmzD5WXowi3SgduZDa0nCinNazcuxgBo9bxerr0TzOtWo92r+OWbwp87e7Z5u4mlzJI/FaVO/C7WJTmUYb/vlm8b6Z0CIreVV24eTrEso0isOuJZQpXrNMmy447+BeYr08cXJyYtPSJczo1JFxb77OxNf+yO5BAwg/c4qqjPS6rIk/IHIa4+qkREoP7SNj9HDipk0k6uTxumldn7j2bxH4+k50aujbq4ESdoVC0QwQwmoppCD6Pqe3r2HEyLlMWnGcq946YuJjiH50lgtb5rFw7lJWH3HhYUoFBTJxW70YS1Eut9QQU2rlbrqJnRF6ZniXMM2rWHPkUswbkK5cOnf5+iI4KoxUeT4ib8Io0lu1IF8IquHeXfJDgnl8YC+Xe3Tl8EfvcUyIutvRw2THxWGrn6ntB6WmhlqTiUq3B+TOnU7S8IHErFuF7p6LEHUh3s8RdtmRTrp2mWa2YUpXRfNECbtCoWge1FZTXZFLrO9tTm9bx+pVm9l+9CKXrl3lwrG97Nm+kwPnXXCPyqXIXIOUzsrqWnIr7YQUWrmQWMmywFKGPyiix518ersUMNOnhMtJlRQIV/6EF9PzJ9hystCfP0324L6kvv1HMtp9RuHyRZQI55y1eJ42tWrspHGknjtLaWoKVlPVd/2KF0eIsTU2mpJdW0kf1r/OtV+5hC48TAh4g2tvRNhFNEzpmiqndC0pUa69GaOEXaFQNB9qqjGV5pChC8TvwW1uXr/K5SvXuXrTBVevYMKS8iiptGnt4GZHLbGl1ZxNqNCGq7W9mcdbF3N4/3IOg+4XsDmsHNdME0nlNq16/nshnLclKoKSrRvI7NqO5D/9ipQ3fktm+5Zk9+5Kds9O5E8eh/HiOarTf/jq98awFxVguHGFnDHDSRw2gJgjB4kKeMFsdCLi6l27Sbh/RfNECbtCoWhmCBG2W7CW5ZCTFEVUZBQxyTlakpjKagflFgfRpVZupFax6nG5EPFCPrmWy8ci+rgUMt+vlHNC7OW0qhXC0ctx698XR3kZlbLafeZk0j99n+Q//CfJv/uFiP8g5Y//RfpnH1Ak3Ls1NBisTw/O+/GQ2ehMjwO1700bPpB4OfTNuX6+9hcQdhkyYY3sRCfT6SqaH0rYFQpFs6HOV4v/1jrE/6uptpiFszRjtlRjFyJkESodV2blSIyBMY+KaH8zn27O+VoP9z06A49yzKQabFqPeOnSZWf47+nVtWrv6tQUyo4cIKt/T1Lf+j3Jv68X9t/+ghTh3jPafELBgtlU3r2NLT2VmgojtbKK+8ccJy6Ogy0jHf3Zk+RMm0jS5HHEHNhLlL9fnbA/R9xllbxMWJOfl4fFbK7fqKI5oYRdoVA0G2rl/4Qo1oiQOeANdhG2L+dlr66pJaLYyj6dnhk+JVobuuwo55phIkVv0zrF/VBIgTaHPqZw1VLSWn0kxPw/6oVdvMoQjj3t/TfI7NmZgvmz0J85gSnAn+rMDM1V/xlFiufiMBqo8vOhaNUy0gb3I27pAqLvuaILD6/LRvectnY5V3t6aioGg0E73ormhRJ2hULRrDBU15BQbsMt26xVt9/LNGl/W4T9dggRyq6w45tr5kG2hcfFDsRiWOzC4dttf1a1+9epqaig4t5dcieNIeWdP5H0X//ylLD/gqRf/7v2XtJvfkH6Zx+SP3UC+tMnRGEgBIeWQvbHE0z5W22iAKE/eojMgb1J+GJIXZrZoCB08fHPzUanDX0Ty8mhbyp/fPNDCbtCoWgWSLNdYHLgKUR7l87AJM8SxnsUsyGkHC/xnl4Ift1ytdq48yp7LVZZLW01UVWWT3FuJnl5BZQaqrRCwJ8rq/bCQspPHiOrd1et01zSL//5S7f+27rqePnvlDd+R0bH1uTPnor+3GksukjhqI0/pq5r1JrNVN53IXf8SJK7dyB25VKiHrmhS0h4oTSzTw99UwlrmhdK2BUKRZNFap9JCHSS3saddBPbwvWMdi+i/a08PnfKY+yjIg5HG7Q0sN+oZq+xYM5LJNHPBVeny1y4eJ5LF85w5bozboGxZJZUakPivrOJrxVr1DioTk7WpktN+/gdIeLCnf9KuHPxqom5rIb/6G2y+nanYN5Myg7swXjnJpbwMOz5+dRarT+6sEss0TqK1iwnvUcnEiaOJvrK5RfuQCer4xuGvlnl/iqaDUrYFQpFk0LqnWwrLxbuXFdSzc00E2tD9Frv9k9v5PLx9Vx63i1gnl+JNjZd9oA3Crcuq+Gf4LBiyI7l8e0znNi6ju0793Dg+AmOH9jKltXL2LT9EDe8o0gqraaR1O/PpqZGmze9ysONvEmjSX7t1yT/+t9I/s0vSHnzd6R//rE2pr1w8TzKTx3H/DgQe16uVnVfa7FQa7eLH/kSVF1gy8/DcOUSuWNHkCT2KXbXdqI8PdGFPb+HvKyOT4iPJzcnR3PtL2ufFX8+StgVCkWTwipEXSaVccsysy5YT/97hdrsah9ezaHT7Xwh6KVaUplI4dJl1bzs3S5WqTfA8r+1WA05RLmd5+D65SxdvYuzt72JE+4zIdKHu8fXs2XJbJbvOsclvzSyjdXfybXLTnPWKB2lu7aS1aszKe/8kdT3Xiftsw/I6teDwiUL0F+6gDk8FJsUdJMUxe9cL/CDUGMyYYkIp2jVUlL7dSdu3iyiL18kSra1y+r454i71okuLQ2DXq+GvjUjlLArFIomhczb/iDLpI1BH+BaqIn5QOHWFwWUcizOSECBhRLzt4mMENBaI6XpAVzdt4pZU+awYNd13KPzNfGutZSQ4X+JUxtnM2byUhbuu4NvSgmV9ZPAvAj2okL0Z0+RPai31hs+s3cX8qZOoHjjWvQXzmLy9xOCnlfnzH9qRInHXlSk9QXIGDaAhBGDiNm5jShv7xcSdunak5KSKCkuxqYy0TUblLArFIqfBK2Tm72Gimo5/Wqd65ZkGu1cEo58kX8Zc3xL2B6u1zLExZdXU26t0arp5XC3RqW41k5tVRIpAafYuHAaw8avYP15P0IzK+pceY2Jyqwg7p3axNiho+k/dQtH3ePJqXgBERbf6SgpotL9IflzppLe9hOyBvamZOtGjC7OWJMS6uZWFwJYK/O2N5Gq6xqLhSqPR+TNm0ly3+7ELJhLlMvdukx0zxF3OfQtLi6OPFFQMasx7c0GJewKheKlIMVYDjeTPdYLqhzaeHO3bBMuGSbCxb8rxPsS6cYDhSu/lValOfeY0mrKLA7sL+Cqax1WrFmehFxayIxxI+k9eTu7b8eQUNQwZMtOjT6FQKcDTBvcl1Z9pjHvhC9Rec9Jn1pbI0S9mCp3N4rWLCNrcB9yxw6n7OBezGGhmiumKTj0RpCFDJlIp/TAHtKEsMeOGUH0pQvoQoJfbEx7TAxZWVkYjUbVO76ZoIRdoVC8NPKEoMvpUPfqjEz1KmHYw0Iticy1lEptXnRJtRBw6cyLxd9ap7gGK/8C1FRXURZ6AdeN/Rg5qD+95xzlmHsGmYb6BSTmfKLvn2LhFz15r80gBq2+gW9Saf2HjVNTWYHJ20NL05o1sBd50ydiuHoJa3ISNU3cycqaA4ccc+98k+xhA7VJaWIOH0Dn6/NCwq5NDJOaSkn9xDAqYU3TRwm7QqH4wZHPfqnHNiHSJludSMvc7LIX+wyfYtreyuP1izl8cj2Xad4l3Emvouhb281fHIfFQOaDfZyZ9gn9e3Sj38KTnPTOJl1fIxx/DTUOG7WVecQ+PM2yMd1568POdJ5+GFddbuNV+wKHEHVLRBglWzaQLZ36uJHoL57DJoetNRORk+395gA/CubMIHnoAGI3rSfK1aWuOr4RQW8IKexa7/iEBC3FrNlkUtO5NgOUsCsUih8c6bpl9XlieTX3M+X85wYmehRredtbO+XSTgj7qEdFbI/Qa9Xtaca6dK/fwZw3it1cSpzTJnYP+RPd27ahz9xDHLoXhy6jhIKiIoqL8inJjiXo1mEWj+zCG2+2ps3orVwJTeep6dufUGO1Yo4Mp3TPDnK+GELexDGUnzqGNT2teTlXsavViQmUHdhL5qRxJMyfQ/S500QFBgpxD39+dbxw9pkZGao6vpmghF2hUPygSLmTaV3vZZi0jm/j3IVDv5nHu5dzaOuUxyTPYnZF6vHIMZNXadc60cm1pFD+uVpZbSoi4vIaNvb6FR0/fp9OY1ey8tAtrrp68cjDAw8PN7weOHFu9wrG92zNH//wKa2Grefs41SMYv2nvWiN1YIlPpbSg3vJGTWU3DHDKD9+BGtKktZu/YRmIvD2wgIqH9wjf8kCkieMJnbXNqLcHz13THuDa9eS1ZSWqnnamwFK2BUKxQ+K7OMWXGhhfUg5g+4V0kG4czld6hSvYvbpDHgKQc8w2qmQDv3Ptehfo7qqgPBLq1jX/Ze0//At2gydw8yNx9l/6goXLl7i0sXzXD57lJ2rZjG4w8f85nefCGFfpwm7bIZvkOuaqiqssTGUHT9E3uQx5AhRL929HUtUZN249GaI9puidVov/rQvhhK3YilRt2+hCwl5dopZKeziVVbHq97xzQMl7AqF4nsjzarFXqtFwwQrDcK+K9LAYv9S1gaXcy6xEt88M+lC0Cvrc7r/GFRXCcd+abXm2Du3/Jju07ay+YI39wOiCI+Q7jOUqMce3Dq+mSn92/HHP7Wk9YiNXHycxpP51uw2LNFRlO3fozl1WQVfsnMr5tBgLXtcc0W2s9tzc9CfPErW2JEkzJhC1JmTdRPDxMQ807XLkL3jMzIy6rLQKZo0StgVCsV3QqZu1VtrtPztPrlmzYHHllZr70lhlGKfWWHHv8CCnxDzuDI5XO1rKV9/JGyyjf3mJvYMf52enTsxYPk5zvoXkKkX+y1KHrUOGwhXH+9+jhVje/Dmu+1oP2E3N8Oz0VqObTaqU5IpO3KQnGEDyRrQi+JtmzCFPhaOt1LY3h+vUPJjI5s6aoxGKpxvkTtjMknCtceIAosuwB9dXNxzhV1+npycrKZybQYoYVcoFM9FirKcEU12iJNCfTOtitXCiY91L2aBcOVOqZVau7ocqy4xi2XLhTMvtzq0JDQN7//YOKwGcjwOcmF2Kwb06k4f2SveJ5cs2YDegKWQOLczLBnVnbc/6UHPhWd5FFesfeTISEN/4Qx5k8aSLUV93SpMIY9xGOQ0q80f6dpNAb4ULF1Aqvh9cSuWEOXjXSfsjYn5UyHb2mXueDnszS62o8S96aKEXaFQPBdDtYOokmrOJVYw36+Urs75vHM5h/dEyM5w2nA1k+Mnf9jX2Kqo0F3l0c6hjBrUj+5T93HgXhKppQ09uYXjrsgm3PkIc4Z2o0WnkYzd/ZCQrCooK6HqxmUh6mPIHtSH4vVC1P19qakUTv0VwhoXS8n2TWT260HC7GlEPXxQN569ETF/OqSwx8XEkJebi0kNe2vSKGFXKBRfQWqz7KlusNaQbrTxuNCqOfJNoeUMfVDIJ9dyefdyLh1v5TNZiPqZ+AoSy22ao/+pkZnnHPkB6G6tYe64EfQatZpNl4OJzbfUL2HDVhiN98UdTB42mG5jl7PheqhwotnYH7pSsmgO2QN7USQcrSbqFcLqv2ICprWznzut9R9InDiG6IsX0AUGaZ3kGhP0hmgY9iYnhSkvL9dcu6JpooRdoVB8BbsQ9VKLgxAh6IeijZp493YpoLNw6fJ1nHsRG0P1XE+p0paReda1Mej16/+k1AqxseaQHX6TPUtnMHzETBbuu41fQl1VO3YDZfH3uXVkFRMmzWPShnPceBBKhtNtypctIH/0UG261UrXO3VpYl9BZGFF5o7Pnz+L5FHDiN22mWhXV3Th9ePZn9HWLrPQJSYkUFBQoIa9NWGUsCsUiq9gFc47vqya47FGRj4sovWNPDrdztPGo8tx6XczqkjWy4QyX3XoTaPFVRYvrBjz43l4djfLZsxg+tJdnLkbRGpOLnlpYQQ7H+DQ1uUsXH+EPafcCD57lax5s8kb1IfChXOouH1Tmz+9SczO9iMgf5c1LobibRtJkylmZ04l+vzZuvHsz5kURo5nb8gdr4a9NV2UsCsUP1eEEsux5IUmh5byVXZ4k8iscbI9/UiMkdm+pdr854eiDbhlm0kQgi87xElX3zQ7T9Xtk92sJ1PnhdOJvWxZv5V9xy5z180dj4dOXDu9n4P7DnDyxE3cDpwnYe48soSoF0yfhNHpKraMDGqtMg/dq4ucJ15/+gTZIwaTOKQ/0Xt3oXv8YnO0R4ll0tLStCx0qgNd00QJu0LxM8VQXUNIkUVrP5fToqYaZK924XlFFJjs2uxrXrkWbUy6HL4mp1eVgt4sqK2huqKYnMQwAt3ucuv6Va5cvcYNp1vcuufBQxdPQk9eIEE4+oy+PcifOgHDxfNUp6VSa3v1244dej0V913ImzyO5K4diFm1jChPjzrxflaymvqQw97KyspUO3sT5YWEvVbcJDUOBw67DZu46G3iZMoTapNjPqutWCwWEVaqxWcyScWfc+vX1jqwGIopzk4hMyOHgtJKrVPOy3yc1DjsmMQ+FOVmkJ2TR1F5lZaA4+U80+qcUE2NcEU2K2ZjKWUFuWTmlZBbXo1FOKymgTwYdmrtlegLc8hMTScrvwy9EITm8uz/OSLnPZcd4rxyzRyPq9DmOx/vUcSmsHJCi6xPzp1dXIOyA52MutHpzRS7icrSHFLjIggOCiLwsRSmJFJd3MhetoScft3InzgKw4WzVGdmvvJOvYFa8cw26yIoWraIlHYtiZ0+mSjn23Xt7DJZTSNi/iQiIrR29sLCQtXO3kR5IWGvcQjxriyntCCL9KQ4YiLDCQsJ5nFwCMEhMkIJDYsgMiqW2KQM0oUIlRnN2sxOL07dsjVCKHIiH/HwzF5OnriES0ASuZUO5GzKL6vWp9pcSWakJw+vHufcpZu4haSQLxyLljDrR98HUYiqqcZcUUJBRgwRnjdxvniaQ1e9cQotJd/QMK/0T4wo7AnPh90QS8j9S5w8cIKztwIJz9A3id7Rii+RbeYl2oQsNtyyzOyM1GsTsMj87R9fy2Xg/QJ26wza+PRX68yJXyOMgsMuCsQWMxUVFeizcyjx9iF/yyayhw8Soj4a/blT2KRTF+bl51K1LHPd2/LztDS5qe1bEjdycF07u0wv+4wx7bJnvIx4sUxubq5qZ2+ivJhjt1ZgyE8m5rEbt07vYcfKOcyZNoXJ08XrouUsX7OB9Rs3sWnLVrbsPsKxy/fwCEsmu6xKiGFDNqoXuWFqcdgKiLx7iF3TRzB96hJ2XvYjurj6y3SPLwFzRSmRrsfYt2wisxev54BTEEnCzZhfilkWjr2mirKcKIKcj7Jn4WjGDR9K73nHWX8nl5TiJiLs8mw48rFm3ePGnsVMHjWTuRsvcTcsB+PXOlUpXi7yVpM1Z1bhzmXGN9kRTo4zl7nbhzwo1GZX+0gIupxhbaJnMUfjjFrvdjkH+iuNcOPVMVGU791F7tgR5I7/grLD+7EmxFFrayr31ctDziOvP3uStC5tie/fg5hD+9EFBaKLj39mO7sU9tj6DnSVzWCM/1efRrL296d4PsnvfHnf+2Jt7NVVVBRlEBfqya0DS1gy5DNavvsGb3zSlZ5j5jJ/9Wa2bt3EuhULmTVpPOMnzmLxluNcdI8iobCSKmF1X0zYhVu1FxPneZnT6xaxfu0uzriGk1RmQ5YLX9ZhsVbpSfC5xvldK9m44zAX3SLJEA9H68vagVpxw+XqCLm+gw1jOtChVUveHraNOZcziStoQlVfjmKqc715eG4nq5duYvMRV7xiCqgQgqL46ZC3WokQ9GAh1ucTKjRBnyIEvJdLAe2ES5dD1mb5lLA/yoB3npl8U8MMa68o4qfVmkxYo3SUHz1E3rgvyB0zgtL9u7HoIrTJUX6WCNMl08tmDetPYr/uxG7bhE5moYt9dnrZJ+PZ09PR6/XNIFFNLXarhaoKE2ZL9cvtJ1Jj077banN87+GgchSDzVqtdWp90T1/MWGXbez2air0xWR4neTsgm50/+wDPuo+mbn7buMSFEdSUgwh7tc5uW4K43u3pVO3IQxfdpxT3qlklX+Hdqvaagz5qaREBBEeHk1SdqnWaedlXjqy6s6Qn05KTBiRUfGk5pZpE1e8vH2owVFZgF53m1ubx/FFny58NGo7sy9nEFvQhNoAa63UWIrITYkmLDicyPgc8sotzaeD1SuKPPoyj/vBaAPDhEPvdCufXncLmO5dwu5IA85pVYQXWcmptFNpE9faK36+pHDLWdnKhSOV86lrk7ps34xZuFNHhVE83n6m16sQZLOvNwUL5pA6bABxsgPdPdc6UY9oXNRlSGGX49lT5DSuJSVaX6tnGbeGPkNyHnct6v/d0E9L9tuyi79/2Jn+ZM2nuLatwliW5pCWIGshksnIL9dSHL+MM17jsGEqK6a0oIBio0kY3KePgdAT+Sr7qzUcA7t8/+viXYvDXImxtJjCEj3llVZtkqXn8WLC3oDYmcrYW7huHsKQTp/Tdshi1t8IRyecgfh6qoqSCbu5kw3jOtD2ww95vfM0Ju9zJyS9vH4DL0ZtjR2HzUp1tfjBP0l7rTi4jvoDLvZBmzyi/pOXhs0I2b74H1/A9OF9+WzcrqYn7PXUiIuzWpYofwYi0VRoOMoyB7tsQ5cCLR9Y8naRnyXr7RyLNQoxL2amEHSZNU5Wx0vBN4pC6suYkKUpUGMRbikhTqtyzx0znOyh/Slev5oqfx8cpaX1S/08qRUCa42JonTfbjImjCZ+/myir15B9/gxuvCIb3XtUtjlePakpCStA51sZ/92116NxVhITqIo/Pt68ujeHe443+b2bWFabt3C6eYtbt6+g+sDD7wCI4lJzae4wiKe+3J7ddfod79SxRq2Sgx5iUT738X5whF2bd/PnmPOeOiyKLW9uPP9vtgqSylKiycyJJKQqCTS87PJyUwg+rEvng/vc/euPA7OOIvjcFMcB3kM7t5zw8MvlPD4bPL0Zq1fmaS22khJlthWoD8BocJEF5qF0dQ+0T5vjO8k7A6bcLIxt3DZOoxhndvSbuhi1l0LISy3StsJu7mMwigXrm4ay+C27/Hvb/agw+xT3IvOrduA4sWx6iHLp07YR/x4wv7dOwv92LeE4kWQYi4dd0C+BWch2K4ZVUSVWjEKgZdnqNRSQ1iRBfdsE0EFFiHo1ZRbpCOoW//nQE21FWtiAuVnTpAzeihZ/XtQtG4VVX5C1MvLxAOrIX/8zxPZWdCel4Pxzk2y504nYcp4oo8eQeft9WUWumcIu5wQRuaNl+3s0oU2jhlTeQ4pod64ntvHpoWTGDN4MMNHTWHW8o2s376HXTu3slUUtlasXMeabcc5czeAqOwyTOJC/n6Xq1ixWk9pWhAel7aybtoQencbwtAZezjlGU+ueIT+eE8xBzZTCZnRQXjdFcJ9z4+A2AxyizLJTXmM141j7Fwxh/HDhjBs+DimLFjNqm172bpdHIN1K1ixbAVLNx7k0FUPgpIKKdfaf8V9XZBAlPcdnK5c56prEGHis0rrt1+/31HYreijhbBvGcbwLu1o3yDseXXCXltdSUWqL/cPzGF0lw/4l9+35ZNxe7kRmorM1CyrYOzVwtkJd2ez2+odcTVWa11VhLw4tOoJGfJvETXSLQvx0apztM8ahtnVV1/I0LYpbmLNNYq/hWuUxrFhPe1/she3+H5ZSnWIG1o6cZu48eW2ZDWQXVaNiJDVN9oy0rHLfRQhq02kw9G2JZerX//JPmjDAOU+WLCIfZC/p1qrVqnbd/Gf+te67WtD2Z5UQ9Xts00sb5e/tcHxiguTTCns8zVhbzn+Owh7/X7Kah7ZrCCPsxyWYpXHSXxXw35pwxjFvldbTFRVVmA0GEQYqaisa4uqlvtnNWOtqtQ+r6iswiTel6XpuuMrXuvPl9x/m03+ZrHdul0Qy9T9Vm0/tN9afzy14yrPrdyHul1WPJu6YyrnPK/FbK8lxWDjanIlM3xK6OtawDThzG+kVmrjzyXCvGtD22QTkhyl8HNx6A1I0arOzsJw+SL50yaS1bMTBQtmUeXtiUN2+FIXnrhBxf1pqsIcFkLeikUkjhpKjBCYqAf30YWF1Qv7t7e1x8XGkpWZqU3j+q3j2WvlvW+hojiTGK9zbJvZlw5vvsXHHUYxe58TTt6PCfa5w7UDK5gzshdtWnWi6/AlbL8ZTJyhBtP3LYjWiOeNKZt475McmN6Tbh+3ocOI9ex2jSLTLJ5/9Yv9cNRtsUYYssLEQO5dv8jhU9e57x9Ngb5SPHursJpEAefxdQ4uGkXnt97g3Q+7MWLVCU55hOPhfpc7R9eweExP2rVux2c9JrNo31380gxUim3bhB4YCqLwvH6C/Ru2cfKaBxE5cii49rXf4M8Q9vZ0GLaUDdfDiBCOQDv+tkr0ie4475zC8Pbv8W9vdKPttMPc9I8kLyeWMN+H3LgkTqbzA/xCfPF3v8m1M8c5fPIqNx6FEJeWRV5mArFBbrhev8r16/fxj0yn0FQtBKWC4oxodH4PcHa6xrXb93D3CyYkKABvF1GKOX2EI0dOcM7JDW9dBtl6q3gA1guYXYi+sUisH0d8RDBBgUH4envgcf+22NZNbj3wxTc6k8wiA1UVZZTnJhETeB+Xm2K/7j4iKDaLEuGOrELkjEUZJIaJwst1J6473eNBQDDBQd743L3IheMH2LtnPwfF77n6MJSo9BJRqpLtT2I/7GaqjXkUJIcT4u+Fy0MP7j9yx/ORK3fvOHPdxRuPsDRySkTpVzuWDY79uwq77ChSQZH4rRFe93G/58rDR564ucnjdl3s810eBceRWmzCJAtCVaVkJ4Tg7XyJk/t2sGPHPg6fd+FRRDqZBXkUJwUQ7Cp+27lLXHbx4XFSPkUVojAgCiRVpVmiZOqPp8sNrl4XpVOvKOJzK7RhgbI5paIoi6zox0QE+RMU9JjHQX4Eet7F/b4LD/3EgyFbjzCWiucgO82UmB1a1jf3HDMn4ytY+biMEW5FWmc42Ya+0L+UR8Kdlz2jFP+zQRacC/KFE71F/rwZZA/uK0R9tpaQ5ede/f4VZOlciHt1agqFG9eQNGwAMatXEHX7FrrQ0GcK+5MOdGlpWqIaWWhvlIYCVE0VBfGuHFk4iI5/+CMtOk9m5fVwIvMrsFQUkBxwg5Orx9H307d4463WdJm6h4Pu6aSW1WvL98JEYexdri3rz8CWrWk7bB3b7+h+FGHXDKEwtvpsHX63T3HowGEOXvchLK2EL/sSmynP8OTimnF0/v1veP3t7kzYex+3XBsFxXnkRT/g8tZpDGv9Jn/8zVu0HryIzddD0BWIwletvK+NZAY7c23XSrZuO8i5B1EkF5kxiY804/gUf4awt6Xd4IWsvhTI40wDZvGgrygWwuN2nD2z+9C95ce80Xkq43Y44x7gT6zPeQ6tnc3AboMYMGIGq3duZsfG2UwZ0Z9u/Scyff0pIQwBhPk7c2n7XCb3782AwbPYfM6TKCF2xeV5xHte4MKWGYwd2o9ew6cwd+0e9h84yK4185kztj+9u3ahz/BpLNh3k7tRBRRUClEV+23RF5Ad6YXXzTNcPHOaMxevcunyWU7uXcuqWRMYN3UR8/Y4cSswgeycVJIf3+PS1llMHd6HIZOWsOtKgNauUWEsITvaHafD65k+aDD9+49j+tqt7Ny9mW2LJzJuYBfatfyUT9r0otuYVWy96ENUrlE4Jwc1lfkUxrjx4NR2Nq5dx6LtR9h96gynD29hw7I5jJqwmBkbrnA/PJ0KudM2A2R/D2GvtWLIjcbj0kHWz5zOwkVr2HHsLMeOHWDjgilMGjWG6auOcNYnhUxDlSjIiJsq5D6Xdi5mYg+x7+9+QKu+M1l2yh2viFCiXQ9wfJVYb8YSlu27hmtEFtnCLZpNBooSffC5vJnlkwbRu/9Yxq46z82QfKqkQzcVkOB9i1v7t3Hi0DHOiwLFLadLOB1dye51C1mx/QI3/NPRqx70jSKPiqx5kjOsxZRWczutim3heiZ5FdP1TgFtnPLoebeAGd4l7NMZ8BaCX1Ala55+5sdTXntC1KseuFK4fDHZIwdRsGgOleJvWf3+quZ//17UXyu27GxKdm8jdeRgYhfOI+rypbrx7M9IL/t0B7rikpJnJKqpvx4dQtiTHnFyxWh6v/Mu7fvOYqNzFLEldc8ziz6HBLcT7JrWjfbvvcZvPxjOsNW3cUss5vuPWbBQHP+QO+uHMaKDMKIjNrDj7o/j2GU/I1N+HDFuZzi6YwNbD17EOUwYG6O4HrUvk/+xUp7tz43N0+j79ht88FE/Zh71QNzCGGQTmt1AVtB1Ts/pSa/3fs0bn/Rk0JIzXA7MEubWLgo4ohBWHEfso5Mc2rSG9TvP4RSUTnq5TatxfprvJeyuUtg7taZV72nMO3gX19Ak0jOShcu9x5Vd85g+sANdug5k8KLDHHkgcwsHE/nwCFvnj6TV2y14t0Vvxi1YwbY9G1m7ejFT56xk7d6L3PfzJ9j/JseWj2bAh2/T6vNhLD7ygJCiCvJLcol7eJxzK4fQs+1HvPZpb/pPWc2mfac4feIIR0UpZsGY3vTp0o3eUzex5ZaO+ELpfu0UpoTidnYnezauZ8/JG9wPjCIhLZlwbycubJzC6CGD6TF5C7tECSsuNZloXxdOLvuCIe0/oF2/iaw86UVsnglDeT7p4Xc5u20BA1t9ygdvt6L32Fks2rCNXds3s375HCYN70Gbjz7gj2+1oce0HZzyzyTbaMVeFEPs3QNsmz2Z8bPWst7Jh0dyvKjfDS7tWqgVeNr2W8qeuyFkyhKYraK+89x3E3Z5cWSH3GL/win06jicSSuP4hwRR1ikL0675zOzbwc695jE7AMPCCyqxGi3UFGYiu7RefaLAlnvFm/w3ueDGLXuDOfv3uP+me3iIlrNmgNXueobR3qZqa5611hKUbwbPheXifPdlvc+6kn36Ye5GJhHpbUKW0EQDw6uZsW46Wzee4kHugziE6JJ9TvJ3ZPr2bzrItc8k9GLC1rxTeQY9NwKO57ZZvYI4R7vIQTduYD2wp3L4WrThMDvjTLgLj5PkR3iRAFAVr//rJFNakJkqtweULRqKTlfDKVg3kwMN65gy8mpX0jxhHqX5ygsoPz4YTLGjiRu5hSiTp0gSnage5awi5A54xs60Fmfl7GvRrjnZHdOrxpLv/ffo9OA2WxxiSW+vL6GyWES2nKPa+tH0u+TP/GL/2hNuzH7OBuSTfGT61o2MQqhlM2HoiAhs53KkE2wMhvqN3uUV1Oa4I7LxpF80ale2L/m2OUasgnWLoypTTbnms1aMiOLbLaUzaPiM9l0+aTm4Vuw20xkhzpzc9dcli9cxpYzbgRlVWJ4sqr8jw19TiBOW2fS/723+Ojj/sw57oVfGTRkA7BmBhG4bxwT2v6e377eis9Hb2GPSwxpwkxpR6q6hMJYN67uXsHixatZd9YTn4QSYazrj2M931/YOwh312kkE9Yc5vBlZ+46X+eynHBh+Vxmz5jNovWHOHU/nJjcUkqKMkkLE4K9YTpdPvyUDz8bxOztp7jlG0BASBDunn74B0eRmpVJRlooN3bMYlzLt+nQbiiLjz4ktMRMaaWBwohbeByczPAen/N6qyF8seQQF+6HEJOQSGqML/cOL2XB8O50HDqXGQc9CEkvwmYrIsbvCjsWzWDWnLUcvh1CstiepFqfTbLneY7sWM/iLae5+CicjKISMuLCuS32YUqvT+g6aHKdsBdYqJQuNS1YCNMWxnb6nE/ea83QWevZd+0RfqGRhIX48eDyXlaO68Wnr/+B19qNFiUyP8IyyoXQRRN99xA7li5n+a4ruGYaMIp9sOSH4HV6NUM/78h7n4xm6QVPokXh1/F9hd2mJ+vxTQ6sWMyQUevZejWUPPF+tTWXiCvrWda/FS0/6MXg5ee5k22krmLSgbU8lST3Q+ybP4ge7TuJG28Ks1bvYMvO/Zy4dIf7kdma0DRgN1dSWRhGsv8eVk/uzccf9abX9CNcelxIlcWAJfU2ZxaPoF/LnoxfeJgbkUVifbHvljRKU3zx8nhMSEwepp9Tb64XRD4C5KQs9zKqWBZYxoiHRQy8V8h492KWB5VxItaIp3DoaUY5w5o6fg04ysqo9HxE4ZJ5ZPfrTr6c1OX6Faoz0qj9Vkf5M6ZB2EtLMVy9SPbUCSRMHEPUgb1EBQS8kLBrHejy8p6fge6JsI+pE/aBc9jqGkeCoUEwbZiSPHHZOZGhrd/gP//1I1oN2cyRgAzyGxaRPexL0kiP9MPn0QNu3RJCesuFu24BhCflof/GKf52YX8am1lPXnIkIe7CpDpd5tKlK1y78wiv8FTShVbIvirPxi62kY3/tR2sGdOPSdNWccA5glSDo65nu7a6/M83hX3uCS/8y3lSK1FbEEncmenM6vYav/3Tp3w8dC1bb4aTpLfWNUnUCiOWE4HHufXMnz6NkYuPcs4tDoP5q00h31nYDTG3NWEfJoT9007DGb9iD7tPXODiudPCOR/l6PGznHdywysshaySSqrFxVMrdsaQ+1ibA3mQELBOPaexyzmQeOH+rKKkpeWaF6UuWXKymovwO7OORd3ep0fnOsceVmbHJLZTU/CYhFsrmT6sJx93m8aig8LNpxuwO+zUVuWTdO8Qe+YMpsuQmYzdfg//uAwhWKF4X9/M5BFjGTNrN1d808RDs/7ECrdaWZxJclw0YVHJpOWVaTNcVZTmE3h+HStGttOq9led9CS2SOyn2AerMZdgl9PMG9CNzm17M2vXVTwSi7AIgXI4xPHJCOP+kSWM7fgOr73bmQELLuAeno3dkE1etBceLi64eIYQnZ1HQWkOySEuXN6xgL4tPufdD4ex8Kw74RZxCTQI+7HvKOwOC6XpOjxd7nDs/APuByWQX5ZPVlIQ9w4uYl7PT/nsve4MXHKaa+l6CurXkzderTGWsLu7WDSsM5+98yGfdhvLF6tOcNYrjpRSs7h8n0LrCJhFVc41Dq8YRcfP+tF3xhEuPy4Qjr0SS+ZDLq8ZTb8WLWjb+Qtmbr3ENe8o0gsK0BtEqbOoVLyatJzkP2fkz5dt6LJDnOzpLqvtZA1pbqWdi4kVzPYtYYZPqZby9VGWmYRyG0VyJjax/M+91r0BeRgcRgNVPt4UCqee1buzcOuD0J8+ji0zg1rh8BSNUH/v1RiNVNxzIXfeTBJHDyV622Z0vj51oi7F/Wui3hCyZ7zsQJeTnU1VVZXY3DMuyK8Lu+bYhbDr65/FjirK5IiqdSPo++lr/OdvO9J5ylEuR+QiDK1Y34y1KJFo75tcPbaXnVu3sGb1apYsWsK8RevZdvw27jG55Jscdc5W4/nC7rAKw5gSiu/tsxzfsZb1y+YwWxRwJk+dw8JNJzn7MIr4/IonMx82Sq1eGDRfLm6dwaD2XRk5fRuX/ISBqX56Hfnvxh3708JuTvfHf/cYxgnH/vu329B+0i4OPIgn0yiHlEscwpAmE+aylwWTRovjuJBNpx6RaTA/9bu/j7DXt7EP7diK1r2nMG//DZy8QoiIlOMeo4iOTyE1p4Syyur6tgWJg6riSFxObWBo+x70HDiP417RZDd2v9UYCb60meW9PqJ312EsOfyQ8DLhKOVnZRGk39vAnFEDaN1nLqtP+RFXVL8Rh54cr1McXTKCrkNmMGqzCz66RKrSRYnu4Cz69R7B4FkHcXqcg+GpFHJyvHpdtU5d1YtEppQNvbKFtWM60m/ENFaf9KgTdvGZw1xCxMOLLBrUSxQ8BrPkxD1CC54qrVryiLl3gNXDPuejtz6n57g93PNLoqa6Aos+j+K8VBKjgvC9d5XrF05y7OBONi6ZQfcW7fmgxTAWnX1EqNjc9xZ2Ua6rMurJzUwjVhdKsMddHjid5/TxQ+xYMoFpPVry+UfCsS89zZU0Pfn169UhboQ0P27smMqgVu/zVot+DFh+jkuhuRTUDZz8GgXYS505tX48XVv1p9/0w1wKyKFCFNbslRmEOO1i/ehOdPn4Az76vBd9x85n2e6L3PSLI620Eqt4EGi9tb88HT8b5L0h3bZ03T55Zh5kmggrsmpOXX4mZ16LLLZyX7zvkWPR8riXW2qe6oijaEAmoDEFBVC0diWZfboKUR8sRP2YNtRNOfXnI7PyVfl6k79sIUlD+xO9bjU6L88XEnaZWjYzM1Mb8vbMDHSasHtwevUY+r73Lh37zWTjLR3RhSZRQBXGrSyD6HtH2DK+PZ+/8zp/aDuVCXt8CJK1neLpX5mrI/jWEbZt2srSHRc5c+MBnu4u3Dizh43zpzBq1DQmrT7DBb8U8sXzve42aUTY70aRYZafyyXMFKWG4HPlMGePHRXbdOH23ZvcPrWRzXOHM7DvEIbP2Mpx10iSSixia9/yqKrKRh92ih2z+vHppz0YtvAYrpGFX+vRL9e0YZDCvm0G/d59kw8+6suMw4/wKgS9MLa11mLSfC9yeEoXOr35X7zVuj9jNjlxRyf01PKlraox5RDnc5qVE4bRtuUQZm25SGC+kcqnvu/7C3untrQfvJC1lwMJztJjqh9GJU+uzCBUV3hrOAzVVBSEcefEeoa070XvwQs46aUjq5EevA57OUGXNrGs51eFXYoqxWGkuKxj9hd1wr7mpK8Quvpks9YSsjxPcHSxEPahM+uEPTyOyrir3Nw2jq5dBtFzyh4u+6ZT+rWqGA05NEu6UPHPKn2xKFxsYs3obwq7raqQsPvnWTCwFz27DmHZqXuE5MkBCfXYiknxPcueid3p8L5w/GN2cs83AaF0WMrSyYjy4d71s+zfu5fdB49zQriKfVtWMLhdd3FRiN97zo2wP0PYxWnHZCwmPcofr+unuHBoD4ePHOfQiVMc3jSHZUPb07lVX4YsPcPVBmF/svNgKkkm8NIaZvVrxbsfdKH9hO3svhtNcnFVXVXQE+RKediKbnNi7Vi61Av7Bb9MKrTTWos+S8fjazvZMmMgPVt9yHtvvcObH3el/9R17L/pT2SuAb0QsGc8Dl45ZDt4qcVBdKkVp7RKNoaVM9mzmDm+xZyON5Kot2niLd24TPMq3bz8Wx5tGYqvomWV00VQsm0TWQN7kz18gNZebMvOquso9ywXqdCQhR855K1wzQqSBvQkevlidB7uzxV2+bnsQCdTy8q52V9E2M+sGSuE/U1adxrJvMN3cQmKIjEhksD7Fzi0eoowjJ/Rsk1vhqw4y/mQYvL1osBQlU7so7PsXCgM26wtrLoeTUSe8Lg1VRgyg/E7u4YZA7rxfuthDF95jntxxVo+B6EmjQu7RRgKh0U8uyJEYeEA+9auYf/p23inyUm2yqnI9sH9xFxGtX2fDz/oxsS157kbVUSpuJy+qVjini6KI/3WWpYMa8O7rQcwat1VPBMMfMWwa3fvl8Le/73XeeedToxcd5YLQamERIQT6evE6U2zGNnhEz764HP6TdvI4YdxJIkvls+BBmqrS0gNvsHWqYPp/EFbhi/az9WEUgqfkobv1cZ+V1bFd25Hh6FLWH81mLDcSrHLz0IOsP9S2Htpwh75PYV9vRD2gfXC7kNs/rcJ+118IxKoSnHGeecEurbpStvBy9l3O5x04X6exmaqwlhaSpneoJWyKvRFhFx+nrD31IR9uSbsT/XbtIuD7n+O/ZN70K1lDwbNPM6DwBTs+nTSgm5wbudqFi7ZyJrj97mvyyQjIwa/m4eZ1qsPraWwnxW/V3yR3S6EPee7Crs4DtV6ChO8ub5/LbPHTWHBmsNc908gKjUJncteDk7tQe829cKebviyKl6u6zBRkhLMg5PrWDauNx3bd+HdjuMZt+4S93S5jVQtCWEvlsI+7ivCbtQ6ctgxVxrJz0oh3OMaZ7fOY8bQLnz+7h945/3P6DZ2DTtuRRBdUo24z15J5M+SHXpkFbtBHDuZUCaqxIpLhontEXpGPpITsuTxuYgJHkWcSagg2fCSc1k3N54SajmJiSVKR9mRA1ru95zRwyg7tA9rkihI1zT2CFY0isOBNS6G4s3rSenbnZhFc4lye1gn3lHR3xT0+pDt7PI1NTVVG8v+bGE3a8J+Vjwr+r77Gp+07MU48Ww6dPkWt4XRObZ9OfMmfsGAQeOYsHQ/533iybbUYDaVUR7/AKe9yxkzfCpj15zlemwRT+bCshShj7nF8aUjaPXuR3zQZTrrLjwmsayu6roksUHYO9Bh5AZ2CmHPEgJtNZVQ6HuUi+smMmfBRvZe9UKXW0hOcT6FeToCXA6wYmRXerTuzNglB7nkn0muSTz/G7k1qzJDCDk2iyk9PuSddsOYsF2OPzd/bVn5R4Owz2TgB6/z1hut6CMKKtsuu3Lh0llO7VrFokkjGDBgOEOnb2TPtUCiC4QhFIf16SNbazOQFeHCvtmD6PHh+/ScvJED/vlkCMlo4DsJu8wXL9vYXbYOrx/HLoT9WgjhQti+rChoDOHYC8O5e3IDQzv0Fo59Iac0x/7NC6HGoeexHELVqwV9ug1nyRE3Ispr6qriS8JJdRXCPkoIe995rDnlS1yBJvniK0rJ8jrJ0SUj6TZslubYfaPTMRcF4HZiHgNafcIHLQcze9dNvJLL+LLyvJqC9GRC/AK11H95VXYMwrGHX92sVcX3HzldfI8nccV1zQFfCnsPenYZLIT9PiH54ow3YCsiwf0EW0Z3oVvn4Yzb4oqXEPCi2EfcPbCI6WPHMW6xuFACMigSz54aawFxj04xt29fPtccuzuRotxRowm7HwEnFjJjZD9aTdj9nElg5IVjxl4aQ+jNncwf9wWte81j0SF3Eg1yytkK8v1OcGpmT/pIYV8mbpCsSorqVtZm8DOmBBLhco7zx45waN8O1i6eSq9OXek4YDarzvjwOLuq7jxoyO/LF+WYO5xcN56uoqTaf8aRuqp4qwWHMZesrByis6rIzisgPyFAFGAOcmDBAEZ0/oDPOgzhi/XXuRVjpH7EyyuHdNoyA5ysRpdiLvO0z/Qp0WZY6+daoIWcPlWOSb+SXImutJpyUdhV/QmfQb2wyyRSlsR4Sg/t12Zp0yZ1ObBHuPdIVf3+XRHHtDolmdLd20gb2IvYBXOIenhfiHYEuuhnCHtE3RSuyUlJlJeXa4movpV6x352zTitGrp1+0FM336WM7cf8sD1NjcunebkyTOcuOSq9QvK0lu0J4xVn0Gy2wF2zhtF134zmLbrDoGyzbtuqwLx8KiIxv3YAoa1eJN33uwijMgV3NONWk/zogQPXJ8I+0ZN2HPE/VUlthtxZjHrRnVhxOQVbDnrSqAoJEZERRAWHoTnwxuc3rWejavWsffMHbxi8ikWX/qUca7HQXmKD492jGNUu3eEERrJ1D0PCMoUBfSvLCv/qG9j14T9Td59pwPDluzjwF1vbt1x5uZFcQyOHefYhdvcEvoYl6MXRrP+etf+W0etvYrcKDeOLRpM349fF79rOZvvZZFc9uVS30nYZXt0RUOu+I5taDNkEWuFYw/Pf76wVxZF4HpqPUPb9aTXoIWc8I4m66t1FRq1NXqChVte3vNDegnHvlgIe3h5bZ1jF8Ke7rqWWV/0o6V07Kf9iC+sF3ZbOVnep4RjH07XIdM1x+6XkI/VnEWYyx4W9PuMT97+iC6jlrDhvBu+cZmkZaaRHBuCy62bHD91nTvekWRXiN9oLCXy+hbWju5AX+nYT3kR/xVhP8fCQV3o3LYXM3Y54ZMh+7fXYS9LIuDKduYP6cXAMUvY4hxDVGYByd7nODR/EH17DGL00mO46jIoraqkIC2Uh2e3MLpDJz7+sC+z9l/BLbuMguJCqtN98D8hc8X30VLKzrmSRUJDn4JvII+lHku2Fy77ZtO/Wx/e6LmCJaf8SC0ppSQ/gdArm9g6uj1dPu1Gnzn7OBaWTrzRjKnKiDE7hrDbp7h86ACXbnniGxGFr8sptk7rT0/h3HtP3cquuzEk6B1aW1MdBTiEYz+5ZixdWvaj/8wjXAkuoNIiSpnZj/G878LxW1EEJhlE6bWGGmM6RX4HOLu0nyi0CYc//xRng8t5ulz0KlEkRF0OR9sh3PkEbbhaPp/dyKOTeJ3oUcIuIfT3Mk1a9buWv71+PVV7/GxqZbbG1BTKTx0jd8JockYMonTn1rqZ2iq//6jnny3igpOdDPWH95M5fCBxC4Wwu95FFx72QsKemJj4ZDKYb6WhKn71WPrJNvbek1l1wRuv6DQyMjJIy8gkK7+YYoNJG7pVV7atxpQfTejl1Swf24u2vWcwc+89QvONdXqgIevHcwi5sZUFHd6l9eufMHTBIa5Gl1IoPi2M/6aw54lnkbEkDrcdU5jetaV4Ti9m2/n7PI6JJTo2RquJiBC/PSQkmJBwHTEpWeSXy/0SP+Mb92Y1pYniOzZ9wfDP3+K9TqOYsd+N4KxnC/uA99/mw496M223E85x+cSlZpKRnkFmbgFF+iqtaVs2Ddet1/DfOmSys/wYD04uHUL/T/9E26FCh2+lk/jluMAXE3ZZOpZpV03GMmEiT3N+YVe6fvQ+73aZxJwj9/FIKEBvrks1+tWHkvxDOJBqPUWpXlzdM5/eLVrTpuskNt/yJ6JICIDdoa0jM/fI5ComQxruRxYzo+3rtGvdm6nbb+KRXkGROKpVKZ5EnJvNuD7txQGcyMIDroSkC/ddbcFclkXU7T1smdKTVt1GMGDZee6Hi4vVXEGm7gEX1o1lRKeP+KRVJ7oMm8rMlVvZsnMX27ZsZvWmvWw/5YJ7WCqlJuGaCjLwPbmc+QM+FRfgaObscuZxqlGrTrVUFhD28CyLh3Sg9Yfiopi9mwveseQbhPMsziM52JVLu1cxdcJMFu24iEdyMUVGPWn+VzixZCgDO7an25DZrDx6A2dvXx7euciBdXPp/emnvPdWa4Yt3MABtxB8wmLJDL6Dy87JjOrVnrf7r2DC0UhtFICWqvUbT3/5txFrfgD3Dy9ieJeO/OnjQQyau4fTzm64OF/j0laxTwNb0vYjcQ6GzWfxWRfuhMUTr3tMqOsZ9m7cwpptF3kQkkphRRU5sT7c3z2DiV0/okXrXvSZd4jjnsmklMiZimzYK0UpP+4Uu+b0peW7neg6bjsnvNIpNJShT7jHpQObmbH4MPuvBRGXX05JYSZlIWdx3j6ZcV9MZ8qmm7gmVlD27HacZktcuY2t4XoG3Cuk8+18+ovXuf6lHIoxaoIeK5y8bG9XI9ZeHJkqVsv/fvIouZPGkDtqKCWb12MK8KHGoK9fSvGdEM8Se24OhjMnyB43kgQ5GczNG+iCg5895E2IeoSIhIQEioqKnj2W/Umv+Lpx7J37z2KTcxTRBWasWkptIWTfUM1qqnIjCTq3lIXDO9Oqy0QmbXfGP8dA1ZNF5c1TStTdfazt+T4dhXkbOv8AV6LqhV069k1fFfb8WjuGIh0uG8cy/vMW9PtiOfvuhJNqtGA0W6isqKRKmC6TTLdrNmGyWDFbhaERZYhvCruNsiQP7m0eVSfsHb9g+r6HPH6WY3+6V/zRR3gXOrTOcTItrxw3/42v+Bq1DinsnkLYhwph/yNtGoS95DsKOxajlmY13NuZM+smMLb1L/nV3/8df/Orj2k5Yimrj97BSzjQvEqr2PWnqdV6gxvSH+N3bTOLRrTjj//0j/zTLz+k20zhAJ1Dicw2ipKQ2CGxs1XFCUR7nWPrpK60/I+/4z9+8Tptxqxj8/VAPALFNi5uZs+k1nz0u3/n73/Tiq4T1nPsfiDhyTGEul/j+KLhDPj4t/zzf73F6z1ms/6UG2GZwq2WZpHod4VT6ycyTIj7m7//Hb/63Zu817Ir3YfPYvGuy9wMTCKtqJTywlSiHl1i19TutP/Tv/DLP3xEmxFr2HMjhChRUjRKx/7oAkuHdaH122/Rsf9opi3bwLbde9i5YysbVi1n+Yp1rD94FefgFApNNlHgsVCe4o/XyWXMH9SGFm+/z3vtBjB0zkY27z/Grs2rGNW9Ne//6S1R+prF8rMPuOXhyYOzm1kz4jNa/OE/+avftueTsbs4dDuEpCIjFY6Gnp9PU42jIp3o+0dZO7YHLf74B37/1ud0G7WAeWt2cXTbErZO6UaXTz7k9TbDGLriIEevXsfp+AbWTB5Em47D6TP7BDdDxU0uClxlKUH4HJrFpLa/5hf/+I/83W9b0Vkm8rnhj78ugVj/G9zdP5GRbX7Hv/79r/n9pyOYdUAU9KKTSQq8zJEV4+nSoT89hsxg0cbd7Ni7j4OblrF5+WJW7zjLRU9xzIVbfWnz3L9k4sur2afTszCglM1h5VxOriS4yEp2pV1z6Kot/buhPRqzsyg/dojsQX3I6tWFkk3rMAcH4pCi/o3CruJFcRQWUnHlErnTJ5E0bxYxF8+j8w8Qov7twi5DCnt8fDwFBQWYLV/66G/wdWEfIMexx5Oof9Y5s2EqiCLkyiqWDu9Ay1aDGLrqEnfSDDwZ/q6hJ8b1AJv6fEjXD1ozesVJ7iTrkXOKFmlu+mvCLsTTWBTDgy1jmSAcb5c+k1l7JYQ4k7ShX8NhosJQTnGZCX1lrXiW17//hBr0qX647xzH6PZv826HEUzZfZ/ADOsLCPsA5p7wJkDs6HeptKwV+5QX7cHxxUPo98lrdBAFk02u2d+jKt5URnFKCN63T7Jj8URG9WhN288+4eN2PekxSji/bee55RdPmkGUvupXacBhEk4tzh23U2tZPL4fHVt+TItWXek7ZTVrz3jgk1hGhexE56hEnxlC4K39bJw5jN5tW/F52+4MmrmR9afvc9vlLs5H17J+cj96tW9Nyw4DGD5jHQduueERHojb9WPsmz+WL3p24NPWXeg8bB6rDzuL7edjtMupA3NICbrF6c3C8ffrROtPW9Oh9xgmrTzCZa8EsozVVNda0GdH8vjmYbaKfejfoRVtO/am34Q1bD3nSXBmCeUmIexul1gyrBcdP/qQ3sNHMnbGbGZMn8HMGTOZtWAVm49c40FkBrlVNXUdKEQJsbYih7zwO1zbtZAJA7rToVNfhs7awt5LD7nj4syRTYuY9sUXTF6yhyOuwfiG+eFydhurJ/Slb6d2fPR5H/pMXMuui56EZJRSJq6ar1w3DdSIQkRaMA9PrGX+iJ50ad+FPqMXsXTXRe7fuYrH2Q2snj2JoZOWs3jPFW4IJ3/z2BoWTRxJt35TGL/2Mnci8igzW9FnhBN8ZQvrp/Sha9uWfPhJW3qOXsjKY8Lpe4fg63KOsxunMKl/O1q36kin/pNYuO+WKNAkEhtyn5uHVjN97BgGDx7F2EkzmTFvMXPmrWT9jtPcCkggwyAKPY3+iKaN3OVqcclWCHEuqLKLh1O11o6eKZtxnpoSssDkILDAQoCIdJlM5qt3uuK7IJy6LS8Po9M1cieMIqNTGy2rnMlPOHXhqhR/HjJJTaXzLfIWzCF5zkxiThytm+XtOcIuXXt8XJw2y5vJZBJlq2+7xi0Up3pwZlX9cDdtHLsU9mdVV9XUJ846yK7pfej4SQfaj9/Gbp8sMp9YdrF+bT5hTttZ1v0TerQbzHxhLh4XmjQtKkny5F5Dr3gh7LtcoskVq5jKM4g4tYCl3f9Em9YdGbT4KGcCckgukVXuNqqtlZjLc8hK0hEeEUVMSjGFhhrtvv86VdlhhJ6czdSeH/J2myGM23Ib35SqRp5tdgx5QdzcJoT93Tf5UDp2IezaOPbv8GiotVeQHfmAg/OG0KvFe/SSnef8Cr9757lauwWTvoi89AR0IX54P3rAgwf3uPfQnUc+jwnWJZOeX4ZBVid87TzV2MS6pTnkJEYQ6u/Jw3suuNx7iEdAOOGJQuzKLMh5vGtrhPgaCilIj0EX5IPHw4c8cPPA+7GOiMQsUtPSSI0NI0Jsw+Oh+H43L3yDIojLyCa7KJ/M5DhiHvvi6/4I1/tuuHk/Jjwug7zySqpl9YajGrO+gMz4cIK83Ljveo8H7v4ERiaTJZsE5PUhymuWCnEC0+PQBfrgKb7noZsnnv4R6FLk5CdmqioLCH1wgUWDe9OtXXemrN/PGVcP/PyFixUl3IDH4eIiyBbLWrXhDnXXubga7OJC0+eRmyQKDj7uPHzwCO+gKGLT88kSN0VSrDg+Af6ERMaTkltMvvhN6YniovL3wOuRmzZfsYe/3HYuhWI/zMLtNX4t1FJt0lOQFkukOFbuD93EOQohNDqF3OwMSjJjiY8M1TL9hcWkkp4uzl1COCEBfrh5BuEfmUZmsbioq22iMFRCsTgfMcFeeLjdx8XFFTdxvkPjM0nPKSQnPZHECH8CPMW5eiC+xzOA0NgMMgr1FBXmie3qCPb3w8vDC29vP3wDHuMXGE5kbJo47/K81O9yM0JWLsnq8/gymzbGfF+UQZthbY5vCecTKjQBb5iTXs6qpheFVjkm/enhKorvjl2IesXtmxTOn0X2sAEULp5PxX2Z/136MsWfS43BQJXbQwpWLiV19nRi9+9GJ5472iQwUtifUR0fFxOjJalpfCx7/XVfKxx7khsnV4yk59tv0bbPTNY7xxBX2ohSPoXDXEZZghu3d83iiy6f82HnCUzY/Qiv5HLMYtM19krs+kjcTqxiSvceDBmzhoMPksiucohvrqFErKvlim/flnbD1rP9ThRZNnE9ie2WBhznzPyu9Gj5Ae+0HcKIpQc5essDfyHk4aGPCXh0C6crl7jqLMxUYhFl1roEUl/HUSJMissmlo1sz7st+zNy1QXc48q+9nyTK1YL4+jPtc1T6fPWa7z/YW9mHBbmtkSYhGcfhnrqvrzGVkpayC22zxhG1xbtGLloP9fE9xU+1Wf0xYS9Pp6HFLGvF9i02dXq/90o8nNtvbrXb0O2KX9bzWXd+vV/fB25XSnsz6z2lJ/J5eQ+PHs5W1U+offPs3BQ3Tj2pafuE1rwLR12tP2S25Slhm9XMblrX/1U/Fbx5rfvstim9r/Gkdv6xmfy+79+09Ufm28glpXvy2P+jF2Qq38r0pw++1qVKz9j+z8hje2TTdzRMv+BnJDlVloV60P0jHxYRMfb+Xx8LY+B9wu1VK8ZTwn7VxBvNbzbFH9zU8ZeXkalEPGiRfPIGSpEfdlCKj3dxQNdifoPRa1M8uPvS9GmdaTNnELstk3o7rkK8X6+sMdGR5OZkfEtY9nlVNxWqspyiPO9wLZpPfj8t7/h3TajmH1UGLeEYgymas0JN3ZfSMPnMGYQ53GGnXNH0L1DD3qMXsO2i54ExGeQmBBBvP8VTm5fxaTJK1lx4B5+6RWYZd+taiGAQVc4NbcXPT76iBa95rH8jA+6IpkL3kxtcRhh1zew5IvOtHj7HV5v0YGuQ8YxZd4SFixZwaLFy1m99RAXXB+TkF+hNRk2eu+aczFEXWTPvMG0/qw7Q+cdwjksD1G2qEc85xxmbOYC0sJvcmjhMNr/9pf86Y22DFt3hWvR5WSXC4MrZyOtX6Nx6j51mPNI8D3P2ikj6dhmKHO2XiQwz1g3eVg9L1YVr3iCw1JI+INzLBjQne6dB7L05D3Cns48p2j2yPtDhqx9km3hMjucb66Zi4mVbAnTM9WrRJtZre3NPPrICVm8SzgYYyC0yKot/8yyoeI7YS8upPLRQ4pWL9OGtBUsnEvFXWfspcLmKH44qoWwhIVQvmsL2dMnkLhuJTHiOEcJ8ZYZ5p4l7A3Tt+r1ehyOrxfnbdjlHOWpMQTdOc62OcPp3/ZzOvebyoK9t7gblEBmcYW4b75ubhqQ75q1GSsDnI6ybcE0pk+dy/Idpzjt7M69+3e5f+0Ux4+eYtdZT1zCcigy2UWBwIrNmE6M13mOLhnDsB696D16GWtOuRGYWorRbBUPcwMlyX48OLmeRWP70bVdGz5v25GO3fvSd9h4Rs9ay9ZTd/GLy0Mvq3S/jdoKLEVBXNs1hy+6dOGLaZs5551C0RMHLUxStZ7K4gQi3C+yb+kkBrVrScfOA5iw9gxnvFKJzSoX+9QwE9y3IT+swaZPIfLeAZZOHUf3wYvYctqddL0oONQtpKGE/TtSY5GO/SRz+4gLoG0f5h+5S3CuGmLzqiHFucziIDDfog1LG/NIuPNbebR1yqOfS6E2XeqOcD2Xkyrxy7OQaqgfsqZE/QfDIXOYuz8QYj6H7CF9KVg0F+NtJ2y5uXUnSPHDYRcCHK3DuH83edPGkbJ8EXG3nIiOjNCEXRP3RoRdRkxUFKkpKdq87LJn91cR2zXrKcpIIjrQjbuXT3Js/34OHLvAlXv+BEXLOUXEea6WFeeNUXeea+Rc57liG373ued0Dafbrtx198Hb1xc/Xz8CQmPQpZdTUCnFUawjhN1qyCEtypdHN85x8vBRjp1z4rZXBHHZpVRY5JTetVqVfFFqOAH3r3Hu6H727trFjt1i/05c5NJdX4LiZLPq8+aEdwg3nkfwjd1sntiPKdOXs/d2OMlGIcLiU/nLHNVGjEWpJIR6c//6BU4c2MvBQ8c5d9MDj/A0UvJeQNi1ml8LVbk6fC5uYfGsmXyx5BhnH8VRbq6borwBJewvSq2DGlMphSn+OB1by+jOrWj5cSdGLz/IJd8kssssyD6A6nHTNJBNIM/MhPUcZFt6YrmNIzFGbbjaR1dzaHU9ly8eFrE5VK/ldpfV7nVirs769+Xbmr4cFUYtf3nhisVk9uioJaGRHeds+Xnioa2O9w+OuFdMiUlkHD9J8Mw5+C5bSaCTMxERkUS/gLCnJCdTWlraiLCL+8NmpkpfRnFBHrnZWVpu+YzMbLJy8yksKUdfJZ+d39Ys9/S7DhzWSoylheTn1G0nO0dss6hMbMP61VwqNXZslkoMpUXk5WRry2Zl55JbWEpZhZx87Klq7xoblko9ZYX1+5eVTU5+iVhOFA6e3Z74BLvdTF6EKy77FrBi4WI2nnAlILMCg6YJwrE7rOI7yikryicvW/x2sT91+5RHvtz/SrO2T8+8tKWw20RBJMELp/1rWLZ0LevPeeOTWIpFPrCeQgn7i1JTjb00icQAJ07vWcus8aMYOXw8s1bs4pBTICGp5VqPaEXTQFYJVlRUaHNFFxYVabNPaUL/NSGRjxM5LaPsEFcuouEBI+dDlz3djwlhny7c+SyfEg7oDHjlWEgSgq9NyKIE5s9CirqcgElmLSsuLtbaaLXxzPpyTP4+FK1eruV/zx07Av2Zk1oSFSlAih8Icflq17o4pHJ0h39UFqdO32P90oOsXnuCPVe8uOofjUdIFI/DdZrINybsMl+8nJe9pKSkEWEX1Bey5T2pxdf/LT+vX/SFEMs7HPXjvmWI+7Cx9RsK9w3fU9PwfSK+eefKgyGWkctp8d3ubbltS0kK8T5XOLZzI5t3n8IpIJmMMmt9wV88Vxr2oWF/aur/LUJ+5/O+Ucu2KDQozucix7dvYNvec9wNEYUDQ908LU+jhP1F0Rx7CSU5ScRGhuDv64O3ly8BjyPQJeWQW2ZudCiE4qdBZsGSGa3u3LnLlavXiImNpdoqG72+vH3kvSsdt+wQJxPGyDnO5Rhz2YNdpnUtE+Itk8gE5FsIrx9/LqdL1e5TxQ+CFHP/gADtHLk9dCNLOD9LWAilm9aS2bsLOV8MQX/2FDbhumTmS8UPizR66UY75xIqGOOawydHo3htawCv7Qji4xPRDL2RwCa3WJwDowgNj6xrc/+asEs3L7PPycJZo8L+c0A+FBwmjPmx+Dmf5cDeg+y/+IiAuHzxzPhOxZZvxWEzkRvlzoOz2zi4/xiX3SJJlzXF2ua/+lBSwq54JbEJEQ8LDWP1mrXMmjWL+66umCorNScuh60k64VDybdyNcXE9vAKlgcZOBpTSbQ2k1L9RhQ/OmUlpZw4eZIJEyeyav58/I8dxXhgL6XjR5E/cgjGo4epzc6uX1rxQyILtvI+kM1NPe/m8w/Hs/hv+zNEyNdM/tuBdP7xaAqdrySy8WEsDx5HC9ceRawuipinIi4qmpSEJMqKS+o2+rOk7nfXVhsoTArm4c2rHD99nTue4aQV6DGJh8r3PTTSqdvMRkrzkgl+eINrp47hdM+PqBzjt06gpYRd8Uoiq949PDyYMnUaQ4YM4fyFC2QUlBBTUs2dTCvbIwxM8y6lj2shPe4WMtmzlKOxRiHs1ViUsL808vPz2bhlC+0+b8Potm25PWwwxZPHUT57Kvqjh7AlJIhSmnLqPzRSD0osNZwVTr3D7Xz+/ngG//1guhB0EQekqEuBT+f/tz+NXxxPof/1BA54xuAdGoUuQidc+5cRLSIhPp7ioiKtWvnnSYPCOrCbS8lJiiDA/SH3Hvjir0snp7TqexsG6dT1+akkhnnj+fAhj3wiiM8qoeoZNQGasNeNta4Li0POMFVBsVmvQkWzixKLgTJbJenFOVy948Sw0V/QoUdPlu85ypnQDDaHljPKvYw2N3P56Go6n15PZuD9VNYEZ3EzNZ+okhLyq8opaWTbKn6gsNSfp+pKolISWLBiGe+/8Tr9fvtrzrV4l/RRg8jdt5XsEF+K9IUUV6vn0Q8VJWZx3MWxz60y4J1bxlSvfP5RiPp/25MqhDztSUhB1/69N53/72Aqb55JZMYdHRd8H+P+OACvEH8Rflp4BvvhFxFEbGYS+RUl2rlt7LubSxSJKBW/oaLaJMTYprWRfzezXYNdXOOlOSnEyGQ3UalkFRm1Zrzvg91SQYnYVkJUOLqYJDIKK7R+Qc/iibBb7NXkVpbgk6vjdPw99uiuszvyuva6V4WK5hJRNzgQ58y2gPNMO7ySz/p35Y9tutFq8X46XQjjrYvh/L8THvzlYSf+5cQl3r18nj4uF5jufYm1wVfZGdHINlX88FF/ntY/PE6fyUN589e/pP1//hOLP/kdx2b05ND51ewKOMse8QzaG+XU+DZUfI+4wcGo62wLd2aalxcfXNEJ4U4Wwi7d+pfC/iT21bn2vz8Sz2fnvRh78yLz7x5ioeteEXvqwmUPS+7vY73vKXaFX9W+o/Hvbvoh9U7GwehbXEpyJ6QwgXJL5XcUdokoDDisVJSWUFxQTLnRhPV7zsfssJqoKC+lsKhMbMeMXej183hSFV9uleNxo1n9+CQdbs7l9QujeO38KO31jQujVahoHnFxNG9eHcdrJ4bz6yWd+af27/C3H3Xm7ybs4m92PuR/HbgkHljrxANrMn9xcAz/cGwUvzw9ij+cGy2u9Ua2p+LHifrz9Prewfyh53v84d/+kXd+98+06fMnOqxqx4fHBvP6xTFiOREXZDSyDRXfK9668AV/Oj+N/zy1i7867CbuhQThzGXVeyPCrrW5p/M/DsTwt4ec+I9jK/jNiTH89sSQr8bJofzx7Mhmfw817P97lyfQ484SIfY3SDPka+b3+yA7fNptNuzPG8r2DGQbu5zr3maTvelfbCNPhN1YbSK8KEmUkK8x9P4a2jrNpo3TLO21rdMcFSqaRbS7OYf2d+fz+YWpvLeqH7/o+CH/+HFHfj99M5+cuiOWuUgn5210vr2ILrfniZgr/j2HjrfEemLdxrap4gcOcZy183RnPq2Ojuetfh/z+1/9O+99+gbdlg5k0PX5dL+7iHa35ja+vorvHe3E87zDzVm0vrFEFJoO8/+Oegjhfp6wp4kCcTT/cvQ2b5zewIdnp/PR2fH1MaHu9dxEWl6eRtsbs8V3NP7dzSm63l7IOPetnIl/QHZF8fcW9p+Kuqp48T97jZxKspL4skweZYVwM9UXp1Qf7VWFiuYSt9L8cM4K5FLUA1ad3km7Ab14t30nJm7awvHHfjilhOKc/pjbaf7asrfSxDqNbEfFjxjymMvzlBnICd8bDJsmXNJbr9Opdxc2nd2Da1oArllB6rz8CCGPqXO6L1eS/NkYGk6HW/H8n8Op/Lc9QsT3fV3U5Xvp/PcDqfz7sTh6XPFjyb3b7Hh0gV3uZ0Wc02Lno7Ps9rzAyVBnrid5Nfvz5pTii0t6oFaDnWbMx2R/xjzzTZQnjl0iBd4mBL7KZhYiX4VBhHxVoaI5RYW4fvNKC7l9/y6jx4+nR9++HDxxjLS8LAzWCvF54+upeLkhz1NCejLLVq3g05afMXzUF9x1u4fRZqLCXvcMUvHDR4WIMksVupIKVgYV89uzWV92lns6DogQYv/Xh1P47EICK+7ruBUYgl9oEP5hX4b8OzAihKSsVEqr9I1+Z3MKg1UeIxNmIej2Gkezc+uSrwi7QvGqUFNtJyIsgg3rNzJv7jweuLpirVI5/ZsahjI9J0+cZPyEiaxZs5ZIcc4ULweZLtU928IkzxJeu5DNXx6W1e5yqFsO/+2giAMZ/OXBVN49k8R053gu+cUQEh5DvE5E1JcRJyIxNoHSQjmOvX7jip8UJeyKVxLZ2SQrM4u7d124fOky0dHR2KqbX5Xaq46pykRAQICWZ8DFxUU7Z4qXg/ShRWYHD7JNLAwo5eOrOfyDcOf/Z3c8/2dPAv98OIkW55KYKkT9hHc0PiE6IiPqxq0/HXIse1xMLIUFBeK+U0kgmgJK2BWvJDJRhswVLydaSE1N1WaekrmZFU0LmfpX5vNPS0sjNzdXSyykeHlIg11ircG/wMr+x/lMPxvMkNXXGLTmOpPOBrL+YSwX/KLxFKIeHvHNdLINERsTQ4EQ9p9tStkmhhJ2xSuJbBeT4i6FQz5s5CQLiqZHw3mS0RzbMpszDYdbvlSJMm9mei7+l+9wc84KrsxdifNlZ03QHwuXHi5ceWOC3hBK2JsWStgVCoVCgT07i7JLF0ifMoGYaZOJunwRXXj4c+djlxEXW1cVr4S9aaCEXaFQKBTSsmM+f5qiyaNJnz6BhMvniYkIf+587PKz+Lg4ipSwNxmUsCsUCoUCW1oq+tMnyJoynoTZ04m+ehmdEHadFPXnCLucBKaoqEgJexNBCbviFaQWauzYrGZtqlaj0YDBIMJYQUWVGbPFhrVafF5tw15drfXkrVHtuz8usi1dPPSrLeKcVFVSYTTWnRODHr0MvR6DCPmq15ejLxehF59XmqgQ58tcXYO9Rk5UVb89xQ9LbQ3VyYmUnThCxtQJxC+YTdT1q0LYI54v7FFR2nzsJSUlStibCErYFa8g4ulvyidD58Ojm5c4e/IYR44c4eipC1y+44m3LovUfAMlhUWU5OZQUlyCxWbTOhEpfiRqbFSX5ZAe5Yfb3WtcOH2SY0ePcvToEQ4fPsyhQ4fq4uBBDuzby55du9i1ex+Hzjpx1TuJiGyLEPgaJew/Fg4H1fExlB3ZT8Y0IexLFxB184YQ7hcT9qSkJEpLS5WwNxGUsCteHWqFC68qpTQrinCvW1w8spONK5eyaMF85s5fwMJla1i/Uwj8ZVeuOz/izo07uNxxI1gnnEqVRQn7j0mNFUthErE+Nzm1ZzWzxw6iR8f2tO3Ui34jxjF19lxmzxPnac4cZs2YzpQJYxgxoDcDhk9kzCZnzgSUUVShhiv+WNRWV2OJDKN07w4ypk8ifs1yopxvC+F+vrBHC2FPSU5Wwt6EUMKuaP7U1ghDaMJcnExy4C3O7V3HgjkLmb1iO1uPXubq3Ye4eXrh4+uF18M7OJ07zKYlC5g8chozF+7mwsMwcoyW+o0pfgxqa4UjrCqnNCeJ4AcX2T53CO3ef4vXPurFqOW7OO/mwQNvHzw9PfFwd+O+82VObJrL3AljGbLoHDtdcskvt9VvTfFDU2MS909QAMVbN5I+cwpxm9cT5epSJ97PEPbIiAhioqNJS02lvLxcG7ao+OlRwq5o/tgtmAriiX14guNrZzBy5EQGzNjOlvPu+MXlUmAwY7HZqbGbMZVmkRbxiHPbVjKx/1CGjFrG7it+pJaa6jem+DGQtSEO+R8h8GVpYVzfPp3en37A261GsuTUA+ItNqpqajTH57DbsJnLyY9+gMvZfazY5sTR22kUlqnC149FTUUFVV4eFK5dReqsacTu2kHUw/t1Av4Cwp6enq71j1D5IpoGStgVzR5bVRHpfpc4tWIUo/v2odfkzay9EUVEdgX2b9Sv1wqDbyIt1JOL29ayYskmDl7xJrmoQlXFvySMObE4713IoDaf8lH7May66E6qOPhf9+O1lgKyU8JwcQ3F3SeTcr1KCfxjUaMvp+q+KwVLF5Iyezoxhw6g83B/StS/XdhlchqZ4dFoNCphbyIoYVc0Y6QUWzHmR/Lg8EKm9mxJh64jmLHjFu6pVRieUStoLsog1v0m18+c49aDQDKKRSFAvK/E/cfHmBuH8/5FDGnXkk86jmX1JQ9SxftPhL22Flt1NdXWSowVZWRlFpGTo8dsUe23PxaOkmIqb90gf+4MkufMIObUCXQ+Puiior7VrcuQwi6T02RnZ2spnJWwNw2UsCuaMeIhYssnN/Iqu2b0oe17H9Fh6BIO3gkn31yrCfW3KXVNVTmGjFiSwh4TG5dIidGshP0lYciJ4fa+hQxu24oWHcYKxy6EXRz4BtmuNleSl5FJekYORcYqTFY7djkksUadnR8Le0E+xkvnyJ0yjsR5s4iRWecCA15I2GVymrz6PP9K2JsGStgVzZdaO7WlYcQ7r2ZW7095/fU29Jq2k+uBKVQ9TwNsVhyVZZhKC6kwlGOptmsTYijp+PEx5gphF459UNuWfPj5SBYdu0NkeQWlJiHilaWkJ8Xy8M4jXN1DSSg0YFZa8eMia0hystGfOELWqKEkzJ9N9O2b6EKCnynsUtQjwsO15DQynazFbBabUndQU0AJu6L54jBjTXIhYO8Ihn76Br96sydDlp7kQUzeN9prv4F8ANUIj6hF3QQk6pH0cjDmxmpV8YPbfsy7LXozbtU+rvsF4RMcSKC3CxdOHWPB4l2sOyTObVoxVUrYf1zEtV+dnkbZ/t2kD+5H3II5RN1z1fLE66KjGxV1GVLYZSQmJFBSXEx1dXX9BhU/NUrYFc0XeyWG0IvcW96Fnm//gV+9P5jR6y7hmVj4pFpX0fRoEPahbT/i7XfbM2DyYnaeucDJC2c5c3g7yxfMp8egRUzdcE2cywIq1QiqHxeZnCYpkZLtW0jt35PYhfOIevgQXYQQ8BcQ9qTERMrUGPYmhRJ2RfPFVklp0FluLWhHtzd/x68/HMrYDVfwSlLC3pSpE/bFDGvXgnc/6MSQWSvZf/UGF52uc/X8MbZu2MDoiWtZuusm/imF2pSiih8Rmw1LdBRFm9aRIoQ9ZslCotwf1Qm4rIr/mqA3RIOwJycna0Pd1Bj2poMSdkXzxVZFefAF7i7pRPe3f1/n2NcLx55Q8PyqeMVPRl3nOdkr/lM+bD2QmTvP8CgxhdiUFJITo/F59IDDe89y6qIbEZnFVH1zzKLiB6TWasEcHETB6mUkD+xN9Mpl6Dzrh7o9Q9i1PPLiNTU1Vcv7rzrONR2UsCuaLzLhTLwz3tsHMbDFn560sd+PykG19jVdvuwV35KPO3w53K2hlqWirIiowBCCH0eRUWTA4lCC8WNSU1VJlYcbeYvmkTR8INHCuet8vJ4r7FEiZHKajPR0bVIfJexNByXsiuZLbTU1RQHors1nSpf3+P0fWtN96nauBqS8YIcr6QSVG3zZfEXYO45lzWVP0sT7DRW5tXYbxpISSorLqDBXo3T9R6K+B7tDX07FbSdyZk0jYexIondvJ8rPr07YnzHUTU7XKsewZ2VmUlVZqXrENyGUsCuaMcLjVWeQFXyKTeM78NEf3uSTPnPY6RRMrrnmiVA0joOa6ioMZaWUlhgwWeqGuyl+fJ4Iezvp2Mew6sIjUsTJ+jKvnMwOKMet16ix6z8iDULsKC7CcP4MWZPGkTB1AtFHDxEVFPhCwi7HsOfm5Ghj2JWwNx2UsCuaMVK6TZRnBXNzx1SGtX6bj1r2ZfTqszhH5pJrtNXlJ/8GNVgryynKTEYXHoUuNoMSg+U5BQHFD0VFXhx35HA3IewyQc03Ms8pXgoNQmzPz6P80H4yxgwnfs4Mos+dISr48XPHsEthl2PY8/PyMJlMStibEErYFc0Y+SCpxWosINbtJLtm9Kbn5635uOcMJu9ywSU8kyKjBevT6l5jp9qkJzc5liAPd1xcvQmMTKe0wqoq5V8SRunY9y5gwOef8GHbUaw4/4jEmqcdu+KlINvEhRjbMjMp2b6Z1BGDiFuygKhrV9GFhjxX2OV0rclJSRQVFmKxqAl6mhJK2BXNnhqbBUOWjqAbe9k2dwx9eg+l2xeLWbT1OOec7vHAy4+Ax6GERdQ9kMKEG/Fwc8fZ2Y2HXhHEZ5ZiqlZ+/celRmv6qCrPJy7Ahf0LR9Dm9d/zmzc6M2LdCW4n5JBWYqTKalc1Jy8L2XnBasUSE03hmhUkCWGPXb+GqDt30IWFPlfYZcc52SO+pKREJadpYihhVzR7amtrsFuMlGXFEu52hZPbV7Fg+lQmTp7J9HlLWbZmI5u27WLPgSMcO3Wes5ducv2uJx5B8SRllVGh2td/fGrtVBvzyU0I5sGVw6yaMpD277/Nmx90oteMDey45Yt3dCZ5BrPm3FXtyUtACHuNEGXZIz534RwSxo8iZt8eoh49Qhce9sz2dRlyVreMjAxtHnabTTWkNCWUsCteGWrtVqpK5Hzrnjy6cZoTB/awfds2tm7bzvZde9l3+ASnLt7E6YE//rpU0gsMwiHWKBF5GdTYsOrzyUoIwdP1Ksf3bmbVogXMX7yalbtPcequOCcxGUrYXyY1DmypKejPniJr2kTiZ00l+uwZdP7+6CLCn9u+LjvOyVnd5HStKutc00IJu+LVotaBw2LAWJRJRmI0kaGPCQzww9c/QKuOD49OFC69iGKjlerGe9YpfgzEebGZjZQV5ZCWEk9UZDghwcE8Dg4lKDwaXWImmQXlGCw2bTy7OjMvgZoaLOL+KFq3irRRQ4lbuogo59t1OeKFeD9P2GWO+Pz8fK3jnBrD3rRQwq54BZHDpezYqy2YTVVUVVVSWVWlhcls0WZyc6hhVC+dGuEQ7fZqrFZxDsxmcS6eCks11TbxuTgv6sy8HGodDqoe3iN30lgt41zshrXoPD2IjI1pVNAbQhN22XEuOZni4mJxPq2qR3wTQwm7QqFQ/Aypra7GeOUiGX26kdCvBzF7d6ELCEAXH//M9vUGYZcd52T7uqqGb3ooYVcoFIqfG8JhO8pKKT+0j9SOrYkbMoCY0yfQPX6MLi7uucIeU99xzlhRodx6E0QJu0KhUPzMkG7dmpRAyfpVpHRoRezEsUTfuIYuLAydEO3GBF0LIepS2GPrO85VmUz1W1Q0JZSwKxQKxc+MmsoKqvy8KZgzjeROnxOzaB5Rbg/qOs29wBzsWsa5/HwsVpVWqCmihF2hUCh+ZthLijFcv0LOmOEk9e5CzJYN6ALqJ36RiWkaEXUZUtTlq8w4V1JcrMavN1GUsCsUCsXPDFt6GqX7d5MxtD8JY0YQffQIupDgZ2abawg51C1NzsGu1+NwqDyBTREl7AqFQvEzotZqxRwSROGKJaQOH0iceI26cb2uff1FhF0skymnalUzujVZlLArFArFzwhHcTEVt26QN2U8SeO/IOboIW38upaYRor6M4RduvW4uDjy8vLUxC9NGCXsCoVC8TOiOjWFsoP7yJLV8NMmEXX7Zt2kL/Xt598Wsn1dzuiWkppKaWmpal9vwihhVygUih8EG/aqckoLC8grKKbEYPrqlMFNgZoazGEhFK1ZTlq/HsQtnIvOQ7j1mNhGxfzp0Ia5xcSQk51NZWWlal9vwihhVygUiu+NEG45P0G1iYrSHNJiQwnwfIjrXVceegUSnphNXrlZmxa4KTRH15jNVD68R96c6SQJxx6zcR06Pz90cV9mm5PV7TIaE3Y58Yucf91WXa3a15swStgVCoXie1NLrbmIktRQPIRgnjp7mROH97B1+SzmTZ/Joi2nOecRT3KRcO8/9Twpwq3XFBdjvHCW7PGjSJBJaWT7elAguthYIeZRmqDL6nYZjYl7UmKilkZWiXrTRgm7QqH4yZCzglXLLGhWK3a77YVmCWs6oiJE3VZBaaI/fjeOsuvgSTaeus25C2c4snoSE/p2pGP/Gczcew+flDIqf6Ka6ydHy2LBlpRI2e7tZHwxhPjF8+uyzQXXDXOLjIgkIjycsNBQQkNCCA8LezJuXYYU+/S0NK0aXtG0UcKuUCh+MuSUn2lCLGQ1sJwtzGAw1H/yVWRHrYqKCs0tytcmMfFIrZ3qkiRCbx5l74olrD10kYsR6UQmJxHjcZHTWxcybcYKlh90xTetjIqfQNilqDtku7rZTHlmBkUP75O9bBFJY4YTt3UT0Y8eacPcIsXxDxFi7uXlhfPt21r4eHtr4i5FXbp3WQ2fm5OjbUvRtFHCrlAofjKKS0q4dv06a9as4ejRo8TFxdd/8iXSxefn5xEqnKSPry/xCQnaGOqfnBozZYleXN+2kNkjx7Ly8GU8S8yUOhzYDLlkxgTh+cgXr5AkMsrNWF9yRYOs2ZBfWS0KRbLQ5HntKh7r1hA8YSxRs6cRd/oksUFBRGuOXKcJ+dmzZ1m6dBkrV6zgxo0bQthDn7j1hmlaZQ2LommjhF2hUPxk5OTmsn7DBtq1b8+kSZPx8fGt/0QIkhCQwsJCzU1euHCR9es3sGnLZh48fIher69f6uXzpCXAUUF22C2OLB7HqN5DWHHgIkF6C19WVNdgtzuotovXn7B93SqOo4eHB+vmzGFJl87s6NSBy9On4H7yBKH+/sQK0Y6JjsFduPdt27bRu1dvBgwYyMmTJ4kID9PcuuwNL2dzkzUqaprWpo8SdoVC8ZMhZwhbsXIlLT75hC9GjcbD01N7X4q6TIRy+fJllggH2a17Dz5r2ZLhI0Zo75WVlWnL/RTU9QNwYNbnEOt+kq1TB9O/Y3/mbzuJV3YRhRYb1WKRn7qvXAOy/8Ltm7cY3rcfLX79az4XMaZrF9YvXsw1cSyD5BzsQrzdHjxg86ZNdOnchZ49e3Hs2HGtKl669cSEBPJEIUw2nbxIPwjFT4sSdoVC8ZMhhX3lqlV8+tlnjPxiFK737pGdk4OnEPiNQmQGDR7Cm2+9w1//zd/x9//wj3Tt2lW49wsYjcb6Lbx8amtNVBQmE/nwCqc2zmJM9zZ8/uHnDJ04j+3nLnPlvgf+0RlkljuwNIGh3lKIb1y8RJfP2/APf/t3/PVf/V9+95vf0K5NWyZPmsyePXu4e/cud5zvsGXzZrp17UavXr04LoRddqSLiY4mNTVVm/RFFrhUj/imjxJ2hULxkyGFffWa1bT4+GPhyruzYeNGDhw8yISJE/moRQv+85f/xf/967/hv/+P/ynE/W/5+ONPWLFiBS6urgQHBxMg3Ka/v/8PHr6+fviJ1zDhWDOzMoXrfbpduZKStGA8z+9h08wR9Gn9MS3ebkGvIWNYsHkHO4+f56Z3FPGFdsxfE3arxUpOTi4RERHiO3zx8/Nr9Pt/iJD7/zgkFE9vb9YuX86Hb77J3/zfv+Z//sVfasf0n//lX/njH/9Ely5dmTdvHhvFsZ81cxZthOD36NFDCPsxTdhlNXxWVpZWDa+S0jQPlLArFIqfjNzcXNauW8u7777Hn157TRPzDz9qwa9/81v+7v/9Pf9HuMv/TwjR//r//kL7978IMXpDCFSrVq1p36Gj1jbftt0PH62Fu23Tti19+vbTHG1BQUH9HktsWCpKyEsM4eG5Lcwf2pMurbozZdkOrgaGE5aSRnZhOQZLDV9PPFdSUsLNmzeZMGEiLVu1onXrzxv9/h8q2nfsRBtxjN56623++Z/+mb8Swv4X//v/aPG//89faQL/5Ji2bi1+9+e88cabdOvWjRPH66ri5dzrBfn5WjW8cuvNAyXsCoXiJ0MK+7p163j7nXf45X/9F//+i//gH/7xn4SI/5Um6FJ8GkIKu3Ttskr+X/7137Rltfj3X/zgId3sv/7rv/Pa62+wcNFizbF+kyoyHl9h54wRDOw8jOX7rxNZWcOz+ozLzoCnT5+hU6fO/MM//BP/9E//0uj3/9lRf2z+7Z//hX/+m7/hH8Tx+xsRfyWOoTyO/1sc378U4v6/xDGWx/n/iULUr3/zG9586y1+//s/CGHvzskTJ7Vx7CnJyZSKAonqDd98UMKuUCh+MnJyclizZi3vf/CBcOof0b1HD3r06Mlbb78tRO+fNUf5F3/5vzXHLkX9t7/7PV27dmPKlKksWLCQ+fMXMG/e/B885syZy9y581i+fAXXrl3XJj35OrW2cpL9LrBt2jAGdBrC0j2XCSm3CLn/dmTfANl8sHPnLmbNms3sOXMa/f4/O+RxWbCAOWPHMLF1Szr/8j/5zd/+LX8txP0vRPxlfUFJ1or88r9+pTVxyOMuq+A/+OBD7d9S2GWP+Mz63vCqGr75oIRdoVD8ZGht7KtX88knn9C7Tx+2bd/OqdOnmTtvHi1bttLcp3Tr//1//C9NhGR1sWwL9vPzJyEhgfh4GfE/fMTVvSYmJpGfn9/oTGYOaymJPufYOnUo/TsOZsnuizwuqeJZ3frkUDGZZCc9PZ3Y2Dit5/83vvuHCHlsRETfdsJj8gRWv/Mmn/7TP/L/hFP/n6Kg9L//6q+1Wol33nmX/v0HsHjxEjZt2sQ8UZhp374DvXr11oa7xcXEkF/fG15VwzcflLArFIqfDK1X/MqV9b3iv9A6xcle8d4+PmwXIj9q1Gg++fQz/umf/1Wrou/UuTPnz5//SXvFN/B9hP2lE+RPwcwpHH3/Ldr9+7/x//76r/lbcRzffOttevTsxZzZc9i/bz+3b93W2v43y17x3brTS3x28sQJkpOStKGFsmCjhL35oIRdoVD8ZGjCvmKFEO9PGTV6NO4eHlqVr8wsJ4dYeXh4snPXbuHm+/Lue+/Tp29fzl+4QJlwvT81TV3YawvysVw8R/qQ/hx+7y26vPYav//t7/i09efMmDGLQwcPccfZWcs4FxIczIP79zVhl73k5Tj206dOkZmZqaWQVaLevFDCrlAofjJk57k1q1dryWdGjxmjjV9/moqKSuITErl0+TKr16xhlVjWWYhRY23eL5umLOw1lZWYggIpXb+a+F5dONamFRP69WXsuPGsXb+Ba1ev4S+na42M1MapyyQ0bg/d2LxpM507d6F37z5cOH9e6+ynEtI0P5SwKxSKnwwpHPv27WPQ4MEsWLiQwMDA+k/qkE7RZrdrw8RiYmK0tvXY2NgmkSu+1q7XOs9tnTqMfh2EsMvOc/pnd557KdTWYM/JwnDhLHnTJxI3cgi3Z07jyK6dXLpyRcvuFxYa8mRyl4YpWj3cPdi7Zy9Dhw5j3Nhxmpv/tkl5FE0bJewKheIno7xcj4uLi9aeLicgSUxMrP/km8iOZ7Ja2GKxNAkX6bAUE+95ig3jB9Dz837M3XYO3+JKfros9nXUmE2YQx5TtHYF6XJ61mWLCL1wjiAfH0LDwrX0sQ1i3hBS5P18fbl48aJWK7Jt61YeBwWpmdyaKUrYFQrFT4J041I45LSt4eHhWi/3n3JylxfHgd1cTlHKYx6cXMXUHq1o8UZL+k3bwFFvHeEZBZQYRQHkJ8oXby8uxHjrBrmTx5A4cjCxB/YS6+9HfEwscfFxWtV7g5g3hByvLtvZvYSbv3X7No8euWnt642NBlA0fZSwKxSKnwQp7LKjnJykRIZ05M2ik1ZtNZbyLJIf3+XavmXMHNqLbh16M3jaajZffMC9x3GkFugx2mUR4OVjTYildM8OMoYPJG7qRKIvXUAXGkqUrHoXTv1pQX9a2CNE4Uq+xsREa2PXjRUVqn29maKEXaFQKL4DNQ4rZn0eOXGPCXzoxOXTxzl86DjHLtzmtmcIIXHp5JRWUvkyhV0UiGqFCNdaLVR5uJE3ezrJQwcQs3YlUfdchXgLhy5d+tec+tOhibpw81pCGr1eufVmjBJ2hUKh+A7U1NixmSuoLCuiKC+HrMwM0tMzSMvMJitPvFdmpMJiw/aSq+JrLRZsaamUHT5AxsihxE8eR/TJY+h8fdBJp/48YRchJ3yR07OqIW7NGyXsCoVC8R2Qgldb4xDO3a41H9iqq7U86tXC4dps4j1HDTVymfrlXxaOkmIqbjuRN2saKULYY9etJsr1LrqQkGcKekPIanqZkEaOQFBuvXmjhF2hUCiaO6IgYU2Ip3jtCtJ6dyVhygSiT59AFxSILiKiUSF/OmT7e1xsLFmZmVpWP9W23rxRwq5QKBTNHIe+nIq7t8keMZDEzm2IXbOSqAf3nlv93hDRYhnp1mVeAYuqhm/2KGFXKBSKZkxtdTXmyHCKtmwgrWcn4kcMIvrkcXSPg+ra1r+lJ7wM2WFOvsqkP3J4m95g0JoXFM0bJewKhULRXKlxYC/Ix3D5PDmTxpA0qA+xq5YT5epSJ94NneaeEvOnQwq7HNOemJBAQUEBZotFufVXACXsCoVC0UypNVVhDvKnaPki0gf2Im7eLKKvXiYqIOCFquEbhrhlpKVpQ9zUnOuvBkrYFQqFopliz8tFf/402SMHC7fel+h9u9EFBaELD29UyBuL+Lg4CvLztVS9ilcDJewKhULR3JDD6awWLGEhFK5eRuqAnsTNmkaU03V0MTF1VfAv0Bs+Wrh1mdJXX16u3PorhBJ2hUKhaGbUyjHzmRkYLp0ne/JYEseOIGa/cOueHs/tMPd0yEl3ZE94lZDm1UIJu0KhUDQzagxGqtzdKFixhNTRw4hbuoiomzfQBQe/UNu67DCnpY/NzKSyslKNW3/FUMKuUCgUzQmHneq0NMr27iJj6AASJ48j5uhhdD4+3xDwxkJ2mJPTtiYJt15cXKyGt72CKGFXKBSKZoSjrJSKe3fJnTqepN5diVu1jGg5vC009IWq4KWwyyxz2dnZVKgZ3F5JlLArFApFM6ChCdwSo6Nw7QpSe3YmfvRwYo4fQff4cZ1wP0PYpaA3jFtPSU7WcsLLHPeqbf3VQwm7QqFQNANq7Q7s+fnoL54la/hAEvp2I6Zhohcp3s9pW5eiLl/l8LYc4dYr6926EvZXDyXsCoVC0Qxw6PVUPrhH/ryZpPXvSdyc6URduYxOJqOR4v2cDnNyWlbZtp6akkKpcOtWq/Wlz0CneDkoYVcoFIomjhzeJmdvK9m0jvReXUgcMZiYg/vQBQa+8NA2WQUfJ916Tg5VVVWqbf0VRgm7QqFQNGUcDmx5uRhvXid3/CiSenYmdsUSou65oouORhcb26iQfz1iZTKa1FRKS0u1tnXFq4sSdoVCoWiq1NbiMOgxeXlQtGY5acMGED9zMtEXztaNWZdu/QUcu5xvXU70UlhQgMlsVm79FUcJu0KhUDRRau12rCnJlB3cS6bsMDf+C2KOHCTK2+O5beoyGjrMxQjxz0hPp8JoxKFE/ZVHCbtCoVA0URwGAxUP7pE7expJA3oSs2opUQ/vowsN+YaINxYNw9tkMpqioiJVBf8zQQm7QqFQNDEahqDZ8vMoP3GUjHEjiZ82kejjR4mSs7dFPt+tN0RsTIw2vM0kO8ypoW0/C5SwKxQKRROjQdjtBfkYrlwke8Nqkg7tJ+b+PaK0KVlfoCe8cOsyH7zsMFdeXq5Sx/6MUMKuUCgUTY16YXdUVGCJjabc14tc4dSTI8KJ1trWX8Cxyyr4pCSKCgu1udZVIpqfD0rYFQqFoolS63BQYzZjMxqpKCsjLzubhPh4LdFMo2IuoqHDXGxsLFlZWU8yzCl+PihhVygUimaAXThuOcVqbk6ONnStQcQbhFyL+r9lFXxqauqTfPCKnxdK2BUKhaIZICvSpfNuEHfp3J926A3CLnvBJyYmkp+fj8lkwiFcv+LnhRJ2hUKh+P+3dy85DMIwFEX3vz86DqroFKcjqqgizbOgYgvG94yZX+XjEIhCre31M+4K+TXsugVfSunVjKgnRdgBIBg9MuMr92XxGfXrmfs5s/7ZtuNrZEPYASAYbcv7yn3E/TXirjN3nas/pun/S9adC3NpEXYACEqz6XomVtvymld/znO3de2tteMLZETYASAozaZ73Gv1f6y/zfwWPONtuRF2AAhMcf+OuLcRdEWeh2hA2AEAuBHCDgDAbfT+A0Z4zYW4LIrtAAAAAElFTkSuQmCC)
Spherical aberration in spherical mirrors is a defect which is due to dependence of focal length ‘f’ on angle of incidence ‘ q ’ as shown in figure is given by
where R is radius of curvature of mirror and q is the angle of incidence The rays which are closed to principal axis are called paraxial rays and the rays far away from principal axis are called marginal rays As a result of above dependence different rays are brought to focus at different points and the image of a point object is on a point Which of the following statements are correct regarding spherical aberration :
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)
physics-General