Maths-
General
Easy
Question
The value of
is Zero if
- x=0
- y=0
- x=y
![x equals n pi minus pi divided by 4 plus y left parenthesis n element of I right parenthesis](data:image/png;base64,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)
The correct answer is: ![x equals n pi minus pi divided by 4 plus y left parenthesis n element of I right parenthesis](data:image/png;base64,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)
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do not differ by a multiple of
and if
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maths-
From the figure AOC=
![](data:image/png;base64,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)
From the figure AOC=
![](data:image/png;base64,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)
maths-General
maths-
In
ABC, D,E,F are the midpoints of sides BC, CA and AB respectively then ar ![open parentheses B D E F close parentheses equals](data:image/png;base64,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)
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)
In
ABC, D,E,F are the midpoints of sides BC, CA and AB respectively then ar ![open parentheses B D E F close parentheses equals](data:image/png;base64,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)
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)
maths-General
biology
When the solute has been added in the solution, then following observation can be made ?
When the solute has been added in the solution, then following observation can be made ?
biologyGeneral
chemistry-
B can be obtained from halide by van Arkel method. This involves reaction
B can be obtained from halide by van Arkel method. This involves reaction
chemistry-General
Maths-
If
then
=
If
then
=
Maths-General
maths-
=
=
maths-General
chemistry-
Element Element M belonging to group 13 can be
Element Element M belonging to group 13 can be
chemistry-General
maths-
In
![t h e n space a l l space p o s s i b l e space v a l u e s space o f space P space i s](data:image/png;base64,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)
In
![t h e n space a l l space p o s s i b l e space v a l u e s space o f space P space i s](data:image/png;base64,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)
maths-General
maths-
In the given figure, ABCD is a Parallelogram then ar (
AFB) is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOQAAADaCAYAAAC2J+5QAAAgAElEQVR4nOy913tbV5qn+yKDSEwgwAwQYBRFUiIlK1myUnVX90yVXXI/Pc8856Kf/pPOxcxd3820q8pBrp5Tru6eKpdtWYmSmMQcEUgkksgZ2NjnQgWUJCcFkgBJvDcO3AAWNvZvrW996wsSURRFqlSpUhFIyz2AKlWq/JWqIKtUqSCqgqxSpYKoCrJKlQqiKsgqVSqIqiCrVKkgqoKsUqWCqAqySpUKoirIKlUqiKogq1SpIKqCrFKlgqgKskqVCqIqyCpVKoiqIKtUqSCqgqxSpYKoCrJKlQqiKsgqVSqIqiCrVKkgqoKsUqWCqAqySpUKoirIKlUqiKogq1SpIKqCrFKlgqgKskqVCqIqyCpVKoiqIKtUqSCqgqxSpYKoCrJKlQqiKsgqVSqIqiCrVKkgqoKsUqWCqAqySpUKoirIKlUqCHm5B1ARiAUKQp4CUpDKkSJAQUAoSBClcuRyydGduUSBgiBQQAZS2V++e568IFIQAYkEiUSGVCpFJpUglQJIyjzoo0tVkABCjnwiTDyVJSFIEQsFJGKBAnJkah0afS21NSAr9zj3AyGLkIgQTeVJ5qUg5pGIwl8FCSCRIpEpkStr0GlrMGhVyKRVUe4HVUECIEEipok5p1hc3sCR0CM2dNLWoKVJK1DI50hkVCgNJtpsnXQYVajKPeQ9Q4KYTxFZn2RxxY0jZUBW10qbsYYGrZxCNoEQ97MdLbAtsWK19/LukAm9uirI/aAqSACZAnmNjNTmFIv//v/xZaIf+ekPuDkIhoyH7U0HTxcjRJRd2K/c4PK7A/TXSlCXe9x7gUyFTCUh5XjIwr9/yf9Nj6AZ/jl/f1qJUa9AyKfIhRbZXAvzKFYgVGhjrK+AXn1kjfiyUhUkPNsnqQpk4yFCrm2iuhFMzTaau7R0qDToNGoI3WFm7RHjf1YRKahQXelgoFZZ7pG/PRIJMhVkoztEPF6i+vPoTd20WAy0m5WIGT3Zum0y8l2CHjNGrQ6ZpCrG/aIqSAAyUNglloQ4Nlp7TjN2aYiRXhldim6sYoZT5hRNv/+C//ePd/k6ocfeVUeroRGD5LC7OPJQCBNNysjIbHQNnuHs1VOc6oc2GYhCA2K7igZLmjavCaXaiFZVFeR+Ub2zAMQh7GR7N4Un34HW1EGfRU6TUoJEIkUqrUHW3UV7l5HGuIvo/FMW3FGceSiUe+hvTZhCzIFvO4c31UF9Swf9fWCUAUKGRDRFtmCkztjLQE8TtnYZyuo0vm9Uby1ALozgXsa3G2erxsZpo4kuHS/uEZX1KJuMNMkTKCNbeLeT+DIwoDjk3td8kNzWMlv+IGvxOnriQbLuRVbzGWLbScLZWixd7fRZVKiOxKa5sqkKEiASIby2QSCeJdlmpaG5mXYJKF66TAJIJAXEQh4hX0AQyjHYPSYSJra+znYkwraqgeaQl8DDANGgm9WQibTpGjealAyUe5zHhKrJCmQiQTZXXASTBXSWLkzNTehfvkhIUUikiGfl5JQ6tAYlOuXhv4GZ4A5bK05Cohr94Bjd/f3YFCLaoJtEOExEriWrfHlqqrJfVFdIBKLhbVY2osQz9bRbW2lu1r7kqBFh10fE7cOf1yOYumhr0WJWH3ZBCkR2/Kysh0kpT9Bz6QYXr9u5gJbtXJhkrIXtvkbqGw61UX6oOOaCFAAv0ZCPVaechNqErauOZvPL12VIbKyyvrSBX92FrneYfnMtrYfawyoAPkI7ftYccnKNrdhPdGK1KqlJ2WjtSTCUNxC0aGk2lHusx4djLkgRchvEdvw4kmbyzd30WWux1Dx/TYJ8YIapBwvc31Cg6B5m5MpJ+hs16Mo17D0hD/l1wru7bCRakNo66WtX0CgDlHXILUNYJArMBgWaqsV6YBxvQRaSsLnGttuDS1qPqrGNdr2UxuevCS7jmfqSu3NxlqXvMHTxIv/1cgsdhkNuxglx2Foh4N3GITVhNLZiqfvLd1eoob4Jg0SCTio9xFbA4eP4ClKIE/PMs/X1V3x75zHT/hO0hfx4ZieYr5WRTifJZXKkQxv43SlizWcZPnOOy5dPcqZJgbbc438b8nFim7NsffUVd+7OMB08zXBeQiGZQVorf2aHy2TP/lHusR4zjq0gRSFFcncLx2YEX1yK3iBFLw2zvbbEoqZAPBImGU8Sy2uQ1Z1l6GeDjAx20lmrpOan376CESGfJLnjZcMVIZCQoG9QY9BKySVyZEVQVZfEt6BAIZ9HKEABGTK5DPlznj9RBMmP3F+JKIriD//56CLm48R862wuz7PsjhKQGNE3NtHRoEAtF8mkkuQyWdKSWlQNVrq6W7EeCeeGCLk4Ue8a7uUFFjcT7CjbMVt7GOp5luVRTeR4U0SI+wh4fPijeVKKRmqbzHQ0KdAoRFJZOSIyahQ/LMpjK8gqVfYGEfJhIjsRdsMR4tEosWiMWCpPTl6DQqFCI+ZRGRpQtNsxG/W0KOGH0kmPrclapcqekA8QX3/M+INlZrYkSIwddNg6aW2RYCi4cc8+4E9fewnVDzL4/xi53Kyn+UcskKogq1R5I/KQ8bA1dZ8Hdx4z5YV00yBdxhaaO7qwNsmoy0Peu0YuEiGY3SEr5JDKfvzsuirIlxBFkXw+Ty6X47hY8xKJBIlEgiiKxONxBEFArVajVCpL//84UrwvxX+XyWTI5fJn/y8bIL3yJ779wx0+fyxHc+Yaf/tff8aZ9hrMmhpUcpCLJ+g8JefC3+ix5WuwN6lpoCrIVyaTybCxscGDBw+Yn58nk8mgUDw7FZf8mGvskFIUmkQiQaVSIZPJSKVSZLNZZDIZMpkMURRfuO44IIriCxORVCpFoVBw4cIlrt94D02NlkRggbk//gd3H+3g0v6Cq0MXOD9opPOFW6ShtrWPwctSujICjUYttVQF+coEAgG+/vprbt++zfz8PCqVCoPBcKRXiOKMH4vF2N7eJhKJkM/nUavVGI1G6uvrUSqVCEciteXVkclkpNNpgsEgkUgElboGJEouXz4LqjQ7i4/58x9XWIz20PFf3uPsmPUlMT5DIlNitFgRCyIajeY7GUQvUxXkc6yvr/Pw4UOSySQXLlygr6+PpqYmCoUChcLhT0V+GYlEQk1NDZlMhgcPHvAf//Ef5HK50t9GRka4dOkS9fX1pFKpIz0xPU/xvgQCAR48eMDMzAxarZ7aBiNKSQFii/gX5njilBNq7+biSDs9bd//XlKpDJ1e/5fUvZ+2MKqC/Av5fJ7FxUUWFhaw2Wz88z//M4ODg9TX1x9JQUqlUtRqNZFIhMnJSdxuN21tbQSDQQCam5u5cuUK//RP/4TRaCSZTJZ5xAeHRCJBo9Gwvr5OPB4nFosxPHKK8xfPo1ZIERxzeNY3cRaakbX20tdeQ+sPLH2vKsQiVUH+BZ/Px/r6OolEApvNxtmzZ6mtrS33sPadtbU1/v3f/53l5WWampro6upia2uLXC6HIAjo9XqkUik63eEOpX8TCoUCW1tb5PN5Tp8+xcjwCSTSBBmPl+1QnERNByajCXONjL16UqqCBGKxGHNzc/j9flpaWujt7T3yYhQEgYcPH3L79m0mJiYwm82cO3eORCLBnTt32NjYwO/3k06nqak53MGCb0IikWBjY4Pt7W10Ov2zZ0JTA7kE+WicdDZPTq1BqdOgl0n3LC+2KkierY4PHjwgFosxNjZGX19fuYe0r2QyGaanp/n444+ZnZ2lo6OD3t5ezGYzUqmUra0tPB4P4XCY3d1d6urqjo2HtYjT6WRqagq5XE5PTw/NzS3P/iCRIdPVoNGqUObTCMkUaeEH7o1YQBQEClIZSJ+J9qfuYlWQgNfr5dGjR+TzecbGxujt7S33kPaVBw8ecPv2baamphgcHOTmzZt4vV7+z//5P2SzWUKhEFqtFqVSidfrxWw2o9d/p6jJkWZxcZGpqSnq6uoYHR2lsfEvSXkyJaqOdswtDTSO75L2ethMiETgu2ZrIkYqESdVY0Cm06OT/rTgDncFirdEFEWSySQulwufz4dOp6Ovr4+6urpyD21fSCQSL5ipFouFDz74gBs3bhCLxfjd737HH/7wB7a3t2ltbUWn0+F2u9nd3S330A+UZDLJ/Pw86+vrtLW1MTY2hlb7l4Q7iRJ5+wj2kdNc7MxTuzvB+DcP+WrRjWs7RDAUJLTtI+DZwuH249lNEs8UKACv4qM+1itkPp9ndXWV1dVVdDrdX0yT5nIPa9+YmJjgk08+YXJyEpvNxq9+9SvOnz+PXq8nnU6jVCqpq6vjzJkzdHR0IJFIcDqd9PT0YLVayz38A0EURdxuNw6Hg0wmg8ViwW63o1QU3ahy0A5hGU3xC38U2YNN5v787/xpd4T0KSsWA8jTURIpkZS8Hn1TO52KGnSSVxPbsRZkNptlcnKSpaUlLBYLo6OjR9KbmE6nmZiY4NNPP2VycpLOzk5+9atfceXKlZIparfb+eUvf4nJZOLcuXPIZDKmpqZwOBwEAoEyf4ODIxgMMjs7Szgcpr29HavVilr9fEFaCUh0aDpOcfpnGYSGRRodkFMKFJJxYnI1GqkKhU6BUluPobEWQ40S5StuwY+1IKPRKDMzM3i9Xm7evMnJkydLoXJHhWw2y9TUFL/97W+ZnJykq6uL999/n5/97GdoNBrgmaXQ1NTEhQsX6OrqYnh4mGg0yvT0NC6Xi+3t7TJ/i4PD6XTy8OFDRFHk3LlzWCyW779Q3oDafo132t5hKBolHEkQT4Og0KOp01NfW4NGIUcmk7+QoPxTHFtBFs+YVldXyWQy9PX1YbFYkMmOTtEKURS5d+8en3/+eWnP+Ktf/YpLly6VxJhOp1lZWeHhw4d4PJ7SfUgmkyiVSnw+H9vb26X4zqOOw+Hg8ePHNDQ0cO7cOTo7O3/4YqkapUaNUtNIrTFBMp4jI1Gh0NSge8N5/dgKcmdnh4WFBVKpFG1tbVit1tJDehRIJBLMzs5y+/ZtJicnsVqtfPDBB9y8efMFs3x3d5dvvvmG27dvE4/HOXfuHHK5HIPBQG1tLRKJhEgkQiQSKf33UaRQKJBOp3E6nezs7NDd3U1/fz8GwyuWiZBr0dTB2z5Bx9bLurKywtOnT9HpdJw+fRqTyVTuIe0pExMTfPTRRyUxFveML++RA4EADx8+ZH5+nnA4/MLfjEYjJpOJVCqF2+0mk8kc5Fc4UNLpNPPz87jdburr6+nu7qapqenAx3FsBTk7O8vExARGo5F3332XhoaGcg9pT0gmk9y7d49PP/20ZKbeunWLa9euYTQav3N9MBhkZWWFbDaLWq1+wYFhNpuxWq1ks9lSWOFRJZFI8ODBA1wuF/39/QwPD6NSHXyf7GMpyFAoxNraGj6fD7PZzODg4JHwrgqCwPT0NL/5zW+YmJigq6uLW7ducfPmzR88W5XJZCXzdGho6IVVwWQy0dHRQSaTwel0Eo1GD+qrHDi7u7tMTU0RCoUYHBykr6+vLOb5sdtDxuNxlpeXCQQCGAwGLBbL964chw1BEPj2229Le8bOzk4++OADLl++/KOTjdls5ubNm4yMjHD69OkXopTMZjMdHR0sLy+zsbFxZAWZy+Vwu92sra0hk8kYHBykpaWlLGM5doLc3t7m/v37xONxTp06dSTC5JLJJDMzM3z22WelQ//333+fv/mbv/lrhMn3kM/nSafTNDY2YrfbOXfu3AsPYkNDw7FYIX0+H4uLiwiCQFdXFxaL5aWzx4Pj2JmsHo+HR48ekc1mGR0dxWazlXtIb82jR4/49a9/zfT0dMmB8+677/6oGAuFAn6/n7t37/Jv//ZvjI+PE41GkUr/+kjU1NTQ2tqKKIr4fL7vOH2OAvl8noWFBZaWlmhqamJkZIT6+vqyjedYCTKbzeJwOFhbW6OmpoZTp06VxZO2VxQdEZ9//vkLETjXrl37ye9VdNT8+c9/5osvvmBycpJoNEo+ny9dI5VKqaurw2AwUCgUCIVCR65yQCaTYWJigoWFBaxWK+fPny/r8dexEaQgCGxtbbG+vk6hUKCjo4Ourq6yeNL2iqmpKT766CMmJiaw2WzcunWL69evv9LZWTabJRAIsLOzg1QqxWQyYTabvxMYoVKpaG9vp7Gxkd3dXbxe75GqnrCzs8Py8jI7OztYLBYGBwfLZq7CMdpDptNpZmdncblctLa2MjAw8OqHvhVGLpfjwYMHfPrpp0xNTdHR0cEHH3zAu++++8qJ1VKpFK1WW4rK6evro7Gx8TueRblcTkdHBw6Hg93dXdxuN62trUcioikSibCyskIwGKShoQGLxVJ2b/uxEWQ4HGZ8fByPx8Po6ChDQ0Mv7JcOC6lUiunpaT755BOmpqaw2Wz88pe/fCE29VWQSCSo1Wq6u7sxGo2cPHnye1eGoiBNJhO7u7u4XC5Onz5d1lVkr3C73YyPjyOVShkbG/vhuNUD5PA9kW9IIBBgZmaGcDjMiRMn6OvrO5SCfPjwIR999BFTU1OlcLh33333tfc9iUSCtbU1EokEAwMD9Pb2Ipd/d35WKBS0t7e/IMijErGzsbHBo0ePUCgUnDlzhra2Hygdd4AcvifyDUgkEjgcDsLhMLW1tXR1dR26uMx4PF7K9J+cnCwlF1+/fv2NHFOBQIBHjx4xOztLoVBAp9N97/2QyWQ0NzcfOUGm02nW1tZwOp3U19dz6tSpikhMP/Ima6FQYHl5mbm5OfR6PSdPnsRsNpd7WK/N5OQkH3/8cclMfTmf8XUQBIHNzU3m5ubwer0EAgEymcwPZnQYDAaMRiPpdJpAIEA8Ht+Lr1Q2crkcGxsbuFwuZDIZFouFrq6uiki9O/KCBJiZmWFychKz2cz58+f/Wh/lEJBOp3ny5Elpz1hMobpy5cobn5dFo1FWV1dZX18nnU4jk8l+dE8ok8lKxx+5XI6dnR0ymcyh9VBHo1Gmpqbw+/1YrVZ6e3sr5rsceZM1FouxtLSE0+mktbWVoaGhHz0wrySKycW/+c1vShE4H374IT/72c/e6vA6nU4D0NTURH9/P/39/RiNxh814XU6HVarFa1Wy+bmJqFQ6I0/v9wUzfVYLMbo6Cg9PT3lHlKJI71CFkO+Njc3AbBarbS3tx8Kl70oity9e5fPP/+85MB5Obn4TTEYDJw+fZr//t//OxqNhqGhoZ+svVoUZCaTYWtrC7/ff2jrD3k8Hqanp5HL5Zw6dYqurq5yD6nEkV4hd3d3mZiYIB6PY7fbD00gwMsROMU9482bN986EF4URXZ2dohEIjQ1NdHX1/dKuaAvr5A+n++txlEORFEkFovhcDiIRqM0NDRgt9srqsTlkRbk5uYmExMTAIyOjtLe3l7mEb0aT548KR1tdHV1lfaMe2Fq53I5vvrqK/7H//gffPzxx6yurr4QLvdDFIMItFotW1tb+Hy+QxdCl8vlmJubY2VlBaPRyODgYMXlwR5pQa6trTE1NYVarebChQsVb2I9n1xcPNq4desWV69e3TNHVCaTYWpqii+++IIHDx7g8/nIZrM/+Tq1Wl0qc1JcIQ9bCF0mkylVRyhmt5Q7Mudljqwgg8EgGxsbBIPBkmlWSabJy+Tz+RccON3d3aXk4r3sM5LL5UilUqXzxZaWFpRK5U++TiqV0tTUhMFgIB6Ps7u7e+gqCEQiEebm5vD5fNhsNgYHBytuC3MkBZlMJllcXGRrawuj0YjNZvtJL2I5EQSBu3fvlsRYTC7+qRSqN+H5rlZ9fX309PS8cjMdmUxGQ0MDBoOBVCpFIBAo9ZOsdFKpFA6HA6/Xi0KhwG63YzabK+6ZOJKCDAaD3L17F5/Px6lTpxgeHq7YMLlEIsGjR49KZurzRxv7UcmgWIP1zJkzXLp0iZ6enteKSzUajVgsFgRBwOFwHJpV0uv1MjU1RaFQoK+vj87Ozor0tlfmU/qW7Ozs8OTJE4LBIMPDwwwMDFTcTFjk0aNHfPTRR0xPT5ccOJcvX96XnLx0Ok0ikaCrq4uf//znXL58mebm5tearBobG+ns7CwJMhKJ7Pk494OiP0Gj0TA2Nlax0VpHTpCpVAqXy8Xm5iYqlYr+/v6KvPmJRIJ79+6Vym5YrdZSPuN+1fjxer3cu3ePxcVFUqkUer3+tfdQL6+QhyFAoFgVYH5+nqamJs6fP18Rcavfx5ESZKFQwOVysbS0VNontLW1VeTqODU1VSq7YbfbS5n+++l42tjY4LPPPuN//a//xR/+8Ac8Hs9rv0cxb7BQKBwaQfp8vtLZY2trK319fRXbhPZIReoUCgXm5+eZn5/HbDZz+vTpstZH+T5yuRz379/ns88+Y3p6+oXy/vudMO3xeLh37x67u7uoVCqSyeRrv4dOp6Ozs5NCoYDT6ax4QRY9q9vb27S0tGC1WivuqON5jpQgE4kEMzMzOBwOLly4UHGJtMXk4o8//piZmRnsdjvvv/8+N2/ePJA6Lmq1ulRVbmxs7I3SthQKBSaTCbVaTTweJxQKIQhCRTpI4K9meiKR4J133qn47thHSpB+v5+VlRWi0Sg2m43e3t6KSKkpUgyHm5mZKSUXX7x48cCKKhULJ8diMYaHh984ckmj0WA0GtHpdEQiEXZ2dmhqaqpIT7bH4+Hx48fAs2it7u7uMo/ox6m8O/iGRCIRFhcXCYfDNDU1YbFY0Ov1FbF/jMfj3L9/vxSbWgwU/6Hy/vtBJpMhlUpRX1/P8PAwFy9efON+JjKZjLa2NlpbWwmHw7jd7leK9jlIit2xnU4nPp8PvV7PwMBAxW1hXubICHJ9fZ0nT56gUCgYHR2tiHIMRSYnJ/nXf/1XpqamsNvtfPjhh1y9evXAIocEQcDr9fLVV1/x+9//HpfLRW1t7Rub80VBtrS0EIlEcDqdpZSuSiGXy5VyPnU6HXa7vWzVyF+HIyPIpaUlxsfH0Wq1XLp0qSJufjqd5ttvv+WTTz55wYFz+fLlA3W7p1IplpeXuXv3Lo8fPyYQCHxv/ZxXRSaT0d7e/oIgU6nUHo747SnG7K6trWGxWBgZGaloZ06RIyHIdDrNxsYGm5ubNDY2MjQ0VPZzpkwmw+TkJL/97W+ZmpoqxabeuHHjwM2mRCLBysoKq6urpNNpVCrVW8VwSqVSmpubaW5urlhBhsPhUlWAgYEBBgcH32oSOigqf4Q/QSqVYm1tja2tLTQaDRaLhZaWlrLuHYudi2/fvv3CynjhwoWyVCtIpVKlDI18Po9arX7roOrGxkZaWlqIxWK4XK43OkLZL0RRxOPxsLy8TCaTYWBgAKvVWhH+hJ/i0AsyEonw4MEDdnZ2GBgYoK+vr6ye1Xg8ztOnT0uZ/sWjjevXr5etdIhSqcRkMjE2NlaKXnrbe6RSqWhsbEShUFTc8cfOzg5LS0ukUilaWlpKeZyHgUMvyOfro5w7d67s9VGePHnCxx9/zNOnT0sROPuRtfE6FEWo0+lobm7m5MmTe/K+xffb3t4mEAgQjUYrwou5tLTE06dPS6VKDlO7wUO9hxQEAZfLxeLiIhKJhJGREVpbW8sylmQyybfffsunn35aMlNv3brFe++9V9asdFEU8fv9rK6uEo/HSzVW94KamhosFgsGg6FUTrLcVQQKhQLT09NMTU1hNpu5ePFi2f0Jr8OhXiG3t7dZX18nlUrR09OD3W4vy0r0fHLx9PQ03d3dvP/++9y4caOsnZTgr9FBv/71rykUChgMBjo7O/fkPhUF6ff78Xq9bG1tYbfby+o8CYVCrK6u4vf7effddw9dd+xDu0Jms1kWFhZYXV2lqamJgYEBGhoaDnzjLggC33zzTSlQvBgNs18pVK+DKIoEAgEWFhaYnZ3F6/UiiuIrVQh4FTQaDVarldraWjweDx6Pp6xlPZ7vjq3X67FarTQ1NR0KZ06RQyvIeDzO+Pg4Gxsb9Pf3c/bs2T170F6VRCLB+Pg4t2/fLjlwiilUlVKMOZ1OIwgC9fX1dHd3Y7fb9yyIXaVSlUxWj8fD1tZWWQXp9/t5+PAh6XSa4eFh7HZ72cbyphxaQYbDYZ4+fYrf76e7u5vh4eEDF2QxuXhmZgabzbZvZTfeBrVaTXNzM/39/Zw4cYKOjo4984TK5XJaW1upra1lZ2cHr9db1pIeW1tbPH78mEKhwOjoaEV0s3pdDqUgE4kEGxsbbG9vo9FosNls1NXVHZhpEo/HuXv3Lp999lmpVOOtW7e4du1axayM8MzBkUgkUCqVjIyMcObMmT33OKrVaurq6pDJZMRiMUKhUFlWyWw2y8bGBisrK2i12jfOZik3h1KQTqeT6elpFAoFg4ODB+pZFUWRycnJUtmNYgTOtWvXKq4BbDabZX5+nuXl5dKeaj+qrDU0NNDS0oIoimxubh54XGuhUMDj8bCxsUE+n6etrQ2bzVZRqXevyqEU5MrKCo8fP8ZgMPDOO+8cWL3VbDbL119/zW9/+9tSClXxnLESS0wWPax37txhY2Nj3zIy6uvrsVgsSKVSnE4n4XB4Xz7nh0gmk8zOzrK5uVmqCLCXpTMPkkMnyGw2y/LyMmtra5hMJkZHRw/k5ieTSR4/flwKFO/p6eHDDz/k5s2bFVf9Gp6t5MFgkMXFRaanp3E6nSQSiX0xJ+vr67FarSVB7uzs7Pln/BjBYJAHDx7g9/s5deoUQ0NDB/r5e8mhEmQ+n8ftduNwOMhkMnR0dGCz2Q7EmfPgwQM++uijFyJwLl26VLG1WQRBwO/34/f7yefzNDQ0YDQake9DWOHLgtzd3d3zz/gxAoEA09PTRCIRTp48SW9v76E66nieQxUYUOzrt7u7S2dn54EEAsTjcWZmZkqB4sXGN9euXasob+rLyOVy9Ho9p06dwmAwcPXqe1itXSiUSkAAIUdWlCNK5ChkbzczF/enUqmUjY2NA10h4/E4DoeDYDBIfX09drv90JqrcMgEWSzHkM1mOX369IG0EZuYmCjVwOnp6eGDDz7Ys8Y3+8maAIkAACAASURBVIkoijQ0NHDlyhVOnx7lzJkxTGYTUkSyfiehcIRQTRuqehMtWlC/hSLVajXt7e0oFAr8fj/BYHDvvsiPIAhCqTu2wWDg5MmTexYWWC4OlcnqcrlK50znzp2jo6Nj3z4rnU7zzTfflPaMzxcxPgwzsMvl4t69e0xNTRFPpNDp61DI5ZBbZ+XuF/zh4y/4j3EHS1FIv2X4qUQioba2tnRfwuEwsVhs3+NaRVFkZmaGmZkZWlpaOHfuXEUEt78Nh0KQoiiSSqVwOp0EAgFqa2vp7+/ft5ufTqeZmJjgN7/5DVNTU/T09PAP//AP3Lx589AEKj99+pR/+Zd/4X/+z//JH7/8E7uhHRBTZDYe8/j//htf/P4rvpn14UzAXhzlK1UqWltbaW1pJhGPs7m5ibDP55GxWIyFhQU2NzexWCwMDQ2VPVzxbTkUgsxkMiwuLuJwOKirq8Nut+9bjGKxc/Gvf/1rnj59WtozXrhw4VCda3k8Hp48mXi2WsVDIImTj3hZfLTI6qKDYDpKopAnI8BeLGQSoK29jfa2NhKJBE6Xm+w+Ru1ks1mcTicul4tCoUBXV9eeRiGVi0Oxhyx2FHY4HPT39zM6Orov4ig6cD7//PMXsjauX79+6GbeVCpFNpdDrdXTa21Dm/ER8uSY9SlIqoy0NtcgGOTIf3BOS5OLRgknBLLSGmp0WvQ1EmRinkwqRy4rIlHIUWqVSBHIxlLUKDU0Nnews+1lZWEWW3sHbVYbMrUKhQz2Uio7OztMT0+TSCSw2Wz7FvRw0BwKQUYiESYmJvD5fFy4cIGhoaF9qQpQPGecmZkpReBcunTp0IkRnhWiampqwtTSymifHal3E3cSom0DGLqWUPi8hBEQxe9bITMQdrK1ts6iM0VQqMdo6aS3t456WZyQw8OWJ0teW09zTwN6McrOgpvdQAJBa2J7fZ25xw8xKTSE3pGi7bLT0iCncQ/tMYfDwcTEBAqFgrGxsbLlwe41FS/IbDaL2+3G5XIB0NfXt+c3P5lM8uTJEz777LNSoPitW7e4cuVKxYXDvQr5vIC5uZUb169wwlbPqb4WNv15YvI62nqbqHM34Qh4iRUKiPDM3gRAhMgKPpeTBWeM3ZyAkE0RWl0j4HQQlp6nvzWLPPCUhekYa/lmTuzU0il1szm7yIrQxlqmlhVfhMDWFPpMGLegQyu0cHHAQOMe+sJWV1dLNW4vXLhw6L2rRSpekD6fj4WFBQRBwGq10tnZuaerYz6fL1WHK0bgHFYzFZ59H5/PTwEJfd1dnLZKMOi1rMbbqDH2MtKWZKe2gFMKAlIkMnhWcLwAmQDbs3cYf7zOeMyGeXSEsZ489dtult1OvLunaa7PYo6v4/WEGQ8WoJBAqVzC75jEKUuzKvTg3E5i3NrEpQyxYxqjpvVv6LEYYI8EGQwGS2ePZ8+epb+/vyJDF9+Eihfk8vJyqT7KyMjInkbwF5OLnz/0v3XrFhcuXDiUYoRnnsep6Sm+/vrP7Gw5ke+0c/rCCRr6TmAdMGOp8ZKTF5BJJSBTIFeCUgrgIbE1xdd3VnjklKM508WJPjvdzXlS4RDqNoFcp5lWYYH8jptwIEFE7CPX0EWNOoRhLYsiEiQvyYBMhUwqIx/PkU9nkCpFpHu0vUskEiwsLOD1eg9Fd+zXpaIFmclkmJ2dZWlpiRMnTnDu3Lk9O5B/OQKnu7ubDz74gOvXr1dsONyrsLu7y7d37nD7s0/we7x47adJCG20Sw3I5X6CsTVW59ysBXbxrD6lbmGEBaWRXtkKu7N3ebAm4tGf4b+9M8x5ez1aCmRHLtEgUaPQyhGe3mHKtU0sbcDYb8N2doCWRIDEQy01Qg2m5iZk9hY0iSYEQYFGW4e9U4lpjyz/3d1d7t27x87ODqdPn+bkyZNHRoxQ4YLc2dlhZWWFQCDA3/7t33Ly5Mk9E8ujR49Ke8ZibOrFixcPtRjhmQNsYXEBn8cLgN/vZOLufzLlnKKgUSAmw0TXFvH6wsS8vyOibKRGuElS6iQ/u0REeQZVzzBtpkaeTX1SlHoDz6KF0/i2fWy44iRU/XQM2hmwimif+PB5BWLadtoH+mhv9LPrMbC9JaNepsZilGPaoydte3ubx48fEw6H+fu///uK72b1ulSsIBOJBEtLS2xvb1NXV1eq3fK2xONxJicnS/0ZbTYbH374Ie+9996R2IfodDp6uns4f/48UomEk+0ttDYZCeUEInmBQo2arEqJUiZDoVKj1spRySDjduNb3yLTcANjtw1TKeYiRzopkBdyqFUePIEQq75a5D39DA830avZwOdzshypI2sdYGzEQo3DwP17UlaRkCmItMpy7EU+TDqdxul04na7qa+vZ2Bg4Mg4c4pUrCDdbjePHz9GEARGR0exWq1v/Z7F5OLioX8xNvWoiBGeBXqfPXsWk8lEY2MjJwf66WhrIycI5AsiQtrB9Ef/wrcP1tkc/pDRX/1X/otFgz6WZCuTIhaJoIlECYU0tDQkIRvHE5AhIUqTapFAKIEr301tax+nWkUaIitM+mJs6vpos5/gbIcK2W6KeeJkClKymQTKROatH7Rid+yVlRXkcjk2m4329vaKbIH3NlSsIDc2Nrh//z5SqZQLFy68tSCz2SzffvvtC2bqrVu3uHjx4pERIzxrULq8vIxEImFwcJCxd95B/sJDqyVl1rGokhEyWWjoNGE1gdpqpKlRSXrmW56EJfzaaaKnrRaDwYjG1Iu9LoWwOYvXu41De4pz7d3Y5XHEp9M4N4NEmt9jqMdOtzZJNhtAGdskE1UQisYIJiANvE0oRy6XY25ujsXFRVpaWjh16tShCWN8HSpyesnlcjgcDpxOJ3q9nqGhobeqVVNMLv7000+ZmZmht7eXDz/8kOvXrx/6YOQioigSj8eZmJjgd7/7HePj42Qyme/+wLk8ktpWGq122urVGHIgiKCwDNM9do7++iwK17fMTzzi0YyDhc0MeaUGfZ0eRUGDtqEVy9kB7HYTdYKEXKoGrcnK0Fgf/V11GORydNpG6utNqKQi6XScSCbH29YqKG41XC4XPT09nDp16sCLmh0EFbdCPh+jKJPJ6OzspLOz861Mk/v373P79m1mZ2dLDpwLFy4cegfO8wiCgMfjYWlpqTSRAd+5b6K0nvZLH3CtN0ay3k5dHdQANJzC8q6Wf9QtMLKZIKkxYTB30N7ejqVdS71OjtJ6kzO6LC2SDlpaaqjRNCEb+CUXmwsM6Hsxt0CNUo/i5M/pfm+XNt+fMMgyqNPbSHPNoHhzAQUCAZaWlgiHw3R3d1dcd+y9ouIEmUgkePLkCZubm9jt9reqPB2Px5mamiodbfT09ByK5OI3oVhNYXV1lVAohFwu/977JpHpaOg+TcPLnb0VTei6mrjQMcRYIk1EqEGh0VFXsjMV0DyErRlspRcZUFnP0vvCbqIGRdsYXRcTdM8FEQoF8kEXmYgF3RtWvItGoywtLRGJRF7ojn0UqTiTNRgM8uTJE3Z3dzl58iT9/f1v/F4TExOluqm9vb2lcLijJkZ45vRIJpNkMhnUajVNTU1vFkQh16OsbaKp4Xkxvj61TS3Y7HZUSgVut5vAduCN32tlZYXJyUnUajWjo6MV0Yx3v6i4FdLr9fL06VNyuRzDw8NvVOw2nU4zPj5eyvR/vgvVYUgufhNkMhlms5mrV69is9k4d+5cWWvEGgx6uqxd+LxeHE4Xfv82AwNv9l4LCws8evQIo9HIpUuXDqzKYDmoqBUyHA6ztrZGNBqlsbERu93+2p60dDrN48ePS8nFfX19hy65+E0oFAoUCgVsNhvvv/8+ly9fLmv+pl6no6vLilKpxOl0sv0GK6QoiiSTSdbX13G73RiNRoaGho7spAoVtEIW66MsLy9TW1vLwMDAa1fZLiYX3759+4XqcOfPnz9UycVvQigU4ssvv2Rubo7z589jsVjKGlJWU1OD1fpMkG63m0Dg9QWZTqdZXV3F4/GUOm2Vuzv2flMxgsxmszx58oT5+flSSs3r7PVisdgLsanFQ/9r164d2kDxV6XYJ/M///M/efjwITKZjNHRUex2e9kOzov5mDqdjlQqRSgUIpPJvFYScSgUYnx8nFAoVBHdsQ+CijFZY7EYs7OzuFwuLBYLp06dei0hPX78mH/91399wYFTCS3hDoJ0Oo3X6yUUCqFUKjEajdTV1ZU9iqXY9ry2tpZEIoHX60UQhFd+vc/n4/Hjx6RSKU6fPn0ou1m9LhWxQqZSKRwOB16vF7lcjtVqxWw2v5Jp8vKhfzGF6vLly4cyufhNkEqlpRVJpVIxODhIS0tL2QUJYDKZaGtrK8WhNjY2vtKRRTFUbn5+nsbGxiPvXS1S/l+MZ57VyclJBEHgxIkTr7z/yeVypepwxZXxH/7hH7h+/fqxESM82ztrtVq6uroYGRmhr6+vYhxYJpOJjo4OMpkMTqeTaDT6Sq/b3t5mY2ODRCKByWTCZrMdyeOql6kIQTocDsbHx5HL5Zw5c4b29vaffE0+n+frr79+obx/sQbOUYrAeRW2t7cJBoO0tLQwOjpKR0dHRayOAGazmc7OTjKZDA6Hg1gs9pOvSafTzM/Ps7Gxgclkor+/vyzdsctB2X81QRBYXV1laWmJuro6zpw585PnZ/F4nIcPH3L79u0XClJdv369Ihvf7DfLy8vcuXMHt9uNXC6vqOprRqORjo4OUqkU6+vrryTI4u/rcDieBciPjSGXV8Tuat8p67cURRGfz8fGxgbRaJTW1lYGBgZ+coV7+PAhn332GbOzs6UuVEctNvVVEUWRpaUlvvjiC7LZLGaz+cD7M/4YdXV1dHR0kM1m8fl8RCKRn3xNMBhkenqaQCDAL37xi32rMliJlFWQiUSCubk5fD4fzc3N2O32H937FbMZXl4Zr1y5cmRjG3+KdDqNw+FgbW0NmUxGPp8v95BeQC6XYzQaUavVJBIJQqEQ+Xz+B1e8RCKBw+F4oTv2UcnIeRXKarIGAgHGx8eJRqOcOnWK3t7eH7y2UCiUkoufT6G6evXqsRUjPDu/lclkNDQ0cObMGUZGRirufmg0GsxmMzqdjmAw+KMNXZ1OJ0+fPkWpVB54d+xKoKwrpNfr5eHDh+RyOc6cOUNPT8/3XpfJZLh79y6fffbZCw6cixcvvnEmyFFBo9Fw7tw58vk8XV1dnDlzpuIEqVQqaWtrw+12s7u7i8fjoba29nvN0MXFRSYmJqirqytVPjhOlGWFFEWRbDaLy+XC5/Oh0Wjo6+v73uyERCLBo0eP+PTTT5meni6tjDdu3DhWpsz3IQgC4XAYlUrFyZMnOXv2bClcrZKQy+V0dnZiNpvZ3d3F6XSSyWS+c10qlWJpaYn19fVSVYDjNuGWZYXM5/Osra2xvr6OVqvFbrf/YAT/gwcPvrMyHofY1Fdhd3e3VJZEEASam5sr0rGlUChob2/HZDKxvr6Oy+Uim32xhkChUGBrawuHw0EqlcJisWC32yvKY3wQlEWQuVyOJ0+esLi4SFdXF2fPnv2OmRWLxZiamiqJsbu7u5RcfBzC4V6Fzc1Nfve73/Hxxx+jVCq5du1auYf0vchkMjo6OjCbzaWmSS8LMhwOMzMzQzAYpL29/dgEArxMWUzWeDzO9PQ0LpcLm83G0NDQd1a8J0+elKrD9fX18eGHH3LlypWqGJ9jZ2eHqakpstksUqm0YlcTqVSKyWTCaDQSiUTweDykUqkXrtnc3HyhymBnZ2eZRlteDlyQgiCwtbXF2toamUyGnp6eF2rmpNNpvv76az755JMX+jMe5eTiNyWfz5PP51Gr1W+UrnaQKBQKGhoaUCgUxONxQqHQCx2WHQ4Hjx49QiKRcP78+VeK1jqKHLjJuru7y9zcHMlkkra2Nrq6ukqmSSqV4smTJ/z2t78trYzvv/8+N27cqNjZv5zodDqGhoZoaGjg+vXrFb+qGAwGWlpaSkECyWQSjUZDLpfD6XTi9/vp7OzkxIkTx9Zhd+CCXF9fZ2ZmBrVazfDw8AvOnGJy8ezsbKnXxvnz56ti/AG0Wi1jY2OcPXuWq1evvlG5k4NEq9VisVjY3NzE4/EQDoeRyWQlR09tbS12ux2TyXQs4la/jwMVpCiKzM/PMzMzQ0dHB1evXqW1tZV4PM7Tp09Lmf5VB86PI4oi4XAYt9tNLBZjYGCAwcHBivc863Q6rFYrwWAQj8dDMBhEqVQyPj6Oy+ViYGCAkZGRYz0BH+geMhwOs7KywtbWFs3NzYyOjqJQKHj8+DH/+3//b2ZnZ0vnjMclufhNyGazrK+v8+c//5nf//73PHr0iN3d3XIP6yfRarVYrVa0Wi1bW1tsb28TCoWYnJxke3ubwcFBTpw4gUy2l83PDxcHtkImk0lWVlbw+XzU1dUxODiIVqvl4cOHpeTi4jnju+++e6zyGV+XVCrF3Nwcd+/eZWJiorQfHxwcRCaTkU6nSyUhM5lMyQt74sQJzp49W7aJrhibqtPpSm0BionIEomEgYGBYxcq9zIHJki/38/4+DjpdJrTp09jNptL1eGKETjFFKpKN73KjSAIxONxZDIZWq2WeDzOV199VWpEk0gkiMVixONxYrEYXq+XZDLJP/7jP9LX11c2QRZD6GprawkEAjx69IhsNosgCFgsFqxW67E2V+EABVmMW5VKpQwNDeF2u5mYmPhOef+qGH8alUpFd3c3169fx2azIZfLaWxsRCqVIggC9fX1mM1mBEEgFoshCAKzs7Ps7OyQy+XKOnaNRlM6npmZmQGepWgNDw+XtY5spXAggszlcni9XlwuF3V1daU0qoWFBfr6+vjFL35x6DsXHySFQqHU98Rms9HS0kJtbS3JZJJ0Oo1ery+d+fl8PhobG9HpdFgslopI9DWZTJhMJqamplCr1Vy9epV33nmn6jPgAARZbAKzublJLpfD7XZz7949UqlUqVTj+fPnq2J8DQKBAH/84x/Z3Nzkxo0bDA4O0tTURC6XQxAEFAoFarUaQRAIBAJIJBK6urqw2+0VYYHU1dVhMplIJpOEQiE6Ozs5efLksTdX4QAEmc1mmZ+f5+nTp6X6nFqtlrNnz/Lzn/+cK1euVMRDclgoOkG+/fZbdnZ2OHfuHHq9/nuzIvL5PC6XC6/XS1tbGwMDAxWRPaFWq9HpdMjlcpRKJWazuerE+wv7fuwRi8WYnp5mYmKCSCRCQ0MDg4OD/N3f/R3vvvtuVYyvSSQSweFwsLu7Sy6XQxRFCoXC916bSqVwOp0EAgEaGhpoa2urCJM1mUwSi8WQSCRoNJqqqfoc+/7reL1epqenWVlZobW1lbGxMa5fv86JEydQKBQlp0OVH0cul5dWvPX1dSKRCAaDoWSaRqNRRFFEFEUkEglKpRK/34/X6yWRSKDT6Uoe2XLcb4lEglwuRxAEnE4nS0tLRKNRMpnMCzGtx519FWSxWNHc3FzpQdBqtWSzWSYmJshkMj84u1d5EYVCQS6XY3Nzk6dPnxKLxaipqcHlcnH//n0KhcILgqypqcHj8bCxsUE4HGZ9fZ179+4hCEJZ6u5IJBIUCgX5fJ779++zubmJVCqtiBW7kti3uyGKIg6Hg4mJCTY3N4FnjTenp6dxu90UCoXvzRqv8v1IpVIKhQKJRAK/349MJiOVSvH1118zPT2NIAgvrDQKhYJEIsHm5iaZTIY7d+4wNzeHIAhlmwSLxzLhcJja2loaGxvp7e2tmqzPIRH3yV4QRZGZmaf86U9/YnJygng8hl7/zMTK5XLVlfENKbYNkEqliKJIPp//3nspiiJSqRSFQoFEIiGfz5d9a1Acp16vp6mpCY1Gg8Vi4Z133sFms/3Eq48H+yZIgHgiQSQSIZVIUCgUkPwl5/Hl2fzII5FQzF142+8tlUpLovwxQT772Gf7NolEgiAIZRdk8bsrlUpqamqQyeSoVEq0Wm3F1QEqF/sqyCpVqrwe+7ujTvvJJeIE8kaoqcVsqJB2W1UqDrEgUBClSGV/tSaOI/uojxzxlQk2ljdY0J9F13uWd2rAeDwqwj+HSD6dJBlJIarUqGq1KCWS8jdVKSe5JNlUnEQWsqIcGTnEfIG8RI2qtp66mgpoOlMm9keQYhoxtMjCnS/55kkAz6iFk72QP3ZTXwZia6w/dTHrkKLtsjN4xoZZcXwfOABEkUI6QtixzPpWCH9Wi1zbSJNBjkomBaUOvakZY5ORxhpQHqPnZn8EmdkitPwND+5N8eWinroBKe/oQXnc8k7T26SWv+Th7yf5fLGdrr/R0nTaRtOxsxJeQq5GJi+QWrvD7J8nuJMbobb/Hd6zpJFvzrO8mSFpu8rQ5av8rM9A8zE6FdnjiVoEdklE1phf2WB2JcFuRI1KpaJWD4pjNNNBmFxokbmn09y9v8jc/Ba+YJKU+OwuHWukMqRKCentTXbWVvHGZGQa22lqbae9PoUmOMXjb+7y5Z0ltoOpn36/I8TerpBiCiHkIODdYiOtJClvolGjp0mnRKM8TmZaHiHqIuBcYGEnR0CsQ6+qoV4pRSb5IUEKFHI5coIEpHLkChlSCSAKiCIURAkSiQSZBJCIFAogIkUq5ZkTRBQoiBJEJEglEiq7RpSAKMaJJBRkZVZsQ2c4f/UdznQI1NYuIDhm+f03bhyLLhIxO3B8MoH2UJAFsqkIm/M+ApEY6gYNtR2NxF06ahRyajg+ghTFKJsLWzgXg0jqa2nuVxCbVaESC0hEEb7Pjxh143O4cIUgo2vD1N5GmwHU2V3CkTg7aRUSZS2ttQI1hRie7TwJZSPNHQ00KmJkd7y4dqWklfW0NtfSoKlkf3aIQnILz66UnUIP7d09jHXLaEIGQppkOExaMKNW60F+vOz7PfvVxJSfiMfNuk+OVN1IV3OSpWYVjh0NEpkCDXAstpDZIMntZdYcSfy5Vjp7tMRiPryrMoR84TurYyGxS2zHg8fjxeP3EorF8ecDKDeTnB8wYq/xElyaYcYnJ1bbR7dJpD7uYnE+QtTQSd+lXjp1QUKzs0zO5knX9zJ2fZiTnbWUP9HqB8gHyPqW2dxJ4kw2UR/zknJoWciFCE0EWMx20jV6lq4LPTTWH6MNJHslSCFLyrFMwOEhqLbTZKqhLutEUciTUWtRKJVo9+zDKpus18H20gLbtEJvF20tC0RmPagkUgoiSCTP2wlBAvPf8PTRMguFDnRWM72dGcKzDuaW87RpTtFlTZBaG8exlMLRnMe3q6bRM8vaAweJ+lYiml02TRm2n0wz+WWUQlsa7XAXLZ21aKhQqyS8S3xjne1kFL9Ez+7aONOf3eUrT5jdhBpV1/vcOHuOsydbaa09FtN4ibfXiJiCmIutjTXm1+PsmEyoI2G23Fu4A0niKg1KtRodFfpw7BWFFGTDBPwB1nf1aCwn6BszYRf8bEmkKCRyFGo1NWpQAaS2yfoeMD0xyd0VJfS00WfvpKdBhRjzEM3oMBhUFApZoltb+NfieJUR6tpVNNTkyMR8eHaysNZBjUaORJYhHosS90dJpZ+FyFXqNjIbCOBbdRGXazGcGKajQ4kxPY1/fZqFZD+17R1c6rAwaFZxvAzWvRBkeoeEb42teIFtaS3SVBghvoh7zYUzUkOqQYe6Rl255tNekQsheB+x4tpmItRJR4uUhrSXeGwbXyhOPK1EEw4TDGWJG2Rotpdx3/2/TDqUbLbe4PrYKS7aVGjkShix0tCrobVNSmY9iicAwWQjWoOZwYEmrE31+B7qWdlsRCJrx9YooLfVsmRXkle00VSjppFKFWSekN/P+kaYnLafwesf8N55NafjBqzCJu4/bbE8s8DSWTsXei20lHu4B8xbCjJCPBTBsVkgr++i12qmViaiD+7g35ZRo1Uh0dWiUak58nUB0hEiK09YfLDAn9Ya0Tz6iqUvUwgpJ3MTDhY2VKwJIjXNCjJ/a6N528HS+Bb+wkmMV0/QM1CLXgXQirldglkCsI4j7GHNKyWmsNHX081wSwqVP0osKydZ10Wz1Y7dsIHgSiA3mlA22DHpdVRmIzcBCLDt32HVIUe0tdAz0o69CxoKQ4z5n2C/P87c0jQrKyOsXLFQq4bjtIt8K0H65r5gfl3NWrAJy6Cdc2PNGApp0osL/39797LbxBUGcPx/Zuzx+J442LETJ05CLpALCbT0CkUti6ot6uVB+gx9iy76Cl120xUrWmgrKhFxCSUE50qIgxPb8TXjOV2AkIrUVVR6lHy/5Swsy9Jf+ubMmWPadzrQqtFsNqk22jQ9jRs4xvsUtcOhjhG2usQOizxbLXJr+xAOy2xvltg7cNGbTykur1L6IEjr2Q6Ly0EOx9LMTveRe3WkjIfWFp7vYTdXqG6vsdrpgaF5ZiaHGOr8yvJfT9hsRglOzTI5laW3fYellW3awQLJ0SGi0bChv3MbuivslqsUa4M4iQHG85AEsEKEYhFc28evV6nXWxx04c2/Sv3/OlKQP3//Aw+c99kb/YreSIa4UihVYW+ryN2lNVZXAux762zs7LFZz1JIBo7vPUEkQ3zmcy6lLlAot6i1u2hdgcoiv1+/z/XbLon5K3z29UUuDjZZv1dmr+TRyDuEI9bLCcKD2jOq3Ri1Q01sa5X9pyX2+kaJTc9zJu3ibqzydGOXTvpDhhfmmMiE0IvP2VyvYaeCpPMJrOCLBSTLtCr9A9h+ROl5jTUnz1h6kIkE9ALU9ilvbFGq+zST/fT2Jck5HP/J6jVHG1ntflKZLKmxPtI9Nhof2h06zimCI+/zth/g7ECe0+nQ8d+d4sSJ5GcZz88y/uriARyEsLfrLC655Kfn+eDyW0yxBmGLvtAO68U/+OWnAl4hzmRY4SqF6h8jZLVoLz1mbaXEYe4KuXMjZJxddu4/4eGKhzMxxvTFAbLRNXZXi9y/X2Z3okKv36BFgi6WQYtoGu01aGw9YOfGDW4vLvOwcZ54tczzB4ssMQ5RrwAAAnhJREFUtQ7YX77J0s0S27FJps5d5t25QUaCcNLekjxSkJ9++x2em0TFUiRiYKEglCG78AUfj13h7bZCOzGiiTjJqH0iHnv8kw9+ANtxicRDhB3QKCBHenCYmRnFg8U/+e3HLlu5U5wZGyYzOsd82mUqWqfS6FBrueTODjBxOoprP6ZYtqh5QwwX8sxMBIiqCuuNFnv1II2qh27WQGXQypwcQaM7VSobT7h3d43VnSo62KRdWePRrQ2K+5s8Xt5iozJIz/lLXL16ictn+ziJf897pEZyE2dfu6LAcnGTLm6yn/RRPvxYsMAap3AhyJexAPHxAVI++JZDYvQdLn5zQD3/hMVShEBPhmx+hIGhPNlkmJ5oAmv6I2ZjCwyPTlHIKqJ+L73zV3kv1cVZmORMCCI6Se+ZS7xzbZzJ/imGh+PkwsqwTRgKZYcIpcZIL1zjk0yH+dAQmf4+CtEm3Z4oKjZKzsmTn55jfi5L3j3mj8n+hZwY8J/SoH26XZ+uD8qysQMvR0ndRXs19p+VeL7XpuP2EE31kYo5RBwbW2l8z8P3NdhBLFthaZ+u18X3QQUD2JZC0aFRrlKvdyASw03GCNsWAdPuH7WP73dffH8NWlkopbB4cVqerwEVwA4GCJ7EEl+SIE3ge2grYOjKqHiTJEghDHKChwMhzCNBCmEQCVIIg0iQQhhEghTCIBKkEAaRIIUwiAQphEEkSCEMIkEKYRAJUgiDSJBCGESCFMIgEqQQBpEghTCIBCmEQSRIIQwiQQphEAlSCINIkEIYRIIUwiASpBAGkSCFMIgEKYRBJEghDCJBCmEQCVIIg0iQQhhEghTCIBKkEAb5GzGqEaobRKivAAAAAElFTkSuQmCC)
In the given figure, ABCD is a Parallelogram then ar (
AFB) is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOQAAADaCAYAAAC2J+5QAAAgAElEQVR4nOy913tbV5qn+yKDSEwgwAwQYBRFUiIlK1myUnVX90yVXXI/Pc8856Kf/pPOxcxd3820q8pBrp5Tru6eKpdtWYmSmMQcEUgkksgZ2NjnQgWUJCcFkgBJvDcO3AAWNvZvrW996wsSURRFqlSpUhFIyz2AKlWq/JWqIKtUqSCqgqxSpYKoCrJKlQqiKsgqVSqIqiCrVKkgqoKsUqWCqAqySpUKoirIKlUqiKogq1SpIKqCrFKlgqgKskqVCqIqyCpVKoiqIKtUqSCqgqxSpYKoCrJKlQqiKsgqVSqIqiCrVKkgqoKsUqWCqAqySpUKoirIKlUqiKogq1SpIKqCrFKlgqgKskqVCqIqyCpVKoiqIKtUqSCqgqxSpYKoCrJKlQqiKsgqVSqIqiCrVKkgqoKsUqWCqAqySpUKoirIKlUqCHm5B1ARiAUKQp4CUpDKkSJAQUAoSBClcuRyydGduUSBgiBQQAZS2V++e568IFIQAYkEiUSGVCpFJpUglQJIyjzoo0tVkABCjnwiTDyVJSFIEQsFJGKBAnJkah0afS21NSAr9zj3AyGLkIgQTeVJ5qUg5pGIwl8FCSCRIpEpkStr0GlrMGhVyKRVUe4HVUECIEEipok5p1hc3sCR0CM2dNLWoKVJK1DI50hkVCgNJtpsnXQYVajKPeQ9Q4KYTxFZn2RxxY0jZUBW10qbsYYGrZxCNoEQ97MdLbAtsWK19/LukAm9uirI/aAqSACZAnmNjNTmFIv//v/xZaIf+ekPuDkIhoyH7U0HTxcjRJRd2K/c4PK7A/TXSlCXe9x7gUyFTCUh5XjIwr9/yf9Nj6AZ/jl/f1qJUa9AyKfIhRbZXAvzKFYgVGhjrK+AXn1kjfiyUhUkPNsnqQpk4yFCrm2iuhFMzTaau7R0qDToNGoI3WFm7RHjf1YRKahQXelgoFZZ7pG/PRIJMhVkoztEPF6i+vPoTd20WAy0m5WIGT3Zum0y8l2CHjNGrQ6ZpCrG/aIqSAAyUNglloQ4Nlp7TjN2aYiRXhldim6sYoZT5hRNv/+C//ePd/k6ocfeVUeroRGD5LC7OPJQCBNNysjIbHQNnuHs1VOc6oc2GYhCA2K7igZLmjavCaXaiFZVFeR+Ub2zAMQh7GR7N4Un34HW1EGfRU6TUoJEIkUqrUHW3UV7l5HGuIvo/FMW3FGceSiUe+hvTZhCzIFvO4c31UF9Swf9fWCUAUKGRDRFtmCkztjLQE8TtnYZyuo0vm9Uby1ALozgXsa3G2erxsZpo4kuHS/uEZX1KJuMNMkTKCNbeLeT+DIwoDjk3td8kNzWMlv+IGvxOnriQbLuRVbzGWLbScLZWixd7fRZVKiOxKa5sqkKEiASIby2QSCeJdlmpaG5mXYJKF66TAJIJAXEQh4hX0AQyjHYPSYSJra+znYkwraqgeaQl8DDANGgm9WQibTpGjealAyUe5zHhKrJCmQiQTZXXASTBXSWLkzNTehfvkhIUUikiGfl5JQ6tAYlOuXhv4GZ4A5bK05Cohr94Bjd/f3YFCLaoJtEOExEriWrfHlqqrJfVFdIBKLhbVY2osQz9bRbW2lu1r7kqBFh10fE7cOf1yOYumhr0WJWH3ZBCkR2/Kysh0kpT9Bz6QYXr9u5gJbtXJhkrIXtvkbqGw61UX6oOOaCFAAv0ZCPVaechNqErauOZvPL12VIbKyyvrSBX92FrneYfnMtrYfawyoAPkI7ftYccnKNrdhPdGK1KqlJ2WjtSTCUNxC0aGk2lHusx4djLkgRchvEdvw4kmbyzd30WWux1Dx/TYJ8YIapBwvc31Cg6B5m5MpJ+hs16Mo17D0hD/l1wru7bCRakNo66WtX0CgDlHXILUNYJArMBgWaqsV6YBxvQRaSsLnGttuDS1qPqrGNdr2UxuevCS7jmfqSu3NxlqXvMHTxIv/1cgsdhkNuxglx2Foh4N3GITVhNLZiqfvLd1eoob4Jg0SCTio9xFbA4eP4ClKIE/PMs/X1V3x75zHT/hO0hfx4ZieYr5WRTifJZXKkQxv43SlizWcZPnOOy5dPcqZJgbbc438b8nFim7NsffUVd+7OMB08zXBeQiGZQVorf2aHy2TP/lHusR4zjq0gRSFFcncLx2YEX1yK3iBFLw2zvbbEoqZAPBImGU8Sy2uQ1Z1l6GeDjAx20lmrpOan376CESGfJLnjZcMVIZCQoG9QY9BKySVyZEVQVZfEt6BAIZ9HKEABGTK5DPlznj9RBMmP3F+JKIriD//56CLm48R862wuz7PsjhKQGNE3NtHRoEAtF8mkkuQyWdKSWlQNVrq6W7EeCeeGCLk4Ue8a7uUFFjcT7CjbMVt7GOp5luVRTeR4U0SI+wh4fPijeVKKRmqbzHQ0KdAoRFJZOSIyahQ/LMpjK8gqVfYGEfJhIjsRdsMR4tEosWiMWCpPTl6DQqFCI+ZRGRpQtNsxG/W0KOGH0kmPrclapcqekA8QX3/M+INlZrYkSIwddNg6aW2RYCi4cc8+4E9fewnVDzL4/xi53Kyn+UcskKogq1R5I/KQ8bA1dZ8Hdx4z5YV00yBdxhaaO7qwNsmoy0Peu0YuEiGY3SEr5JDKfvzsuirIlxBFkXw+Ty6X47hY8xKJBIlEgiiKxONxBEFArVajVCpL//84UrwvxX+XyWTI5fJn/y8bIL3yJ779wx0+fyxHc+Yaf/tff8aZ9hrMmhpUcpCLJ+g8JefC3+ix5WuwN6lpoCrIVyaTybCxscGDBw+Yn58nk8mgUDw7FZf8mGvskFIUmkQiQaVSIZPJSKVSZLNZZDIZMpkMURRfuO44IIriCxORVCpFoVBw4cIlrt94D02NlkRggbk//gd3H+3g0v6Cq0MXOD9opPOFW6ShtrWPwctSujICjUYttVQF+coEAgG+/vprbt++zfz8PCqVCoPBcKRXiOKMH4vF2N7eJhKJkM/nUavVGI1G6uvrUSqVCEciteXVkclkpNNpgsEgkUgElboGJEouXz4LqjQ7i4/58x9XWIz20PFf3uPsmPUlMT5DIlNitFgRCyIajeY7GUQvUxXkc6yvr/Pw4UOSySQXLlygr6+PpqYmCoUChcLhT0V+GYlEQk1NDZlMhgcPHvAf//Ef5HK50t9GRka4dOkS9fX1pFKpIz0xPU/xvgQCAR48eMDMzAxarZ7aBiNKSQFii/gX5njilBNq7+biSDs9bd//XlKpDJ1e/5fUvZ+2MKqC/Av5fJ7FxUUWFhaw2Wz88z//M4ODg9TX1x9JQUqlUtRqNZFIhMnJSdxuN21tbQSDQQCam5u5cuUK//RP/4TRaCSZTJZ5xAeHRCJBo9Gwvr5OPB4nFosxPHKK8xfPo1ZIERxzeNY3cRaakbX20tdeQ+sPLH2vKsQiVUH+BZ/Px/r6OolEApvNxtmzZ6mtrS33sPadtbU1/v3f/53l5WWampro6upia2uLXC6HIAjo9XqkUik63eEOpX8TCoUCW1tb5PN5Tp8+xcjwCSTSBBmPl+1QnERNByajCXONjL16UqqCBGKxGHNzc/j9flpaWujt7T3yYhQEgYcPH3L79m0mJiYwm82cO3eORCLBnTt32NjYwO/3k06nqak53MGCb0IikWBjY4Pt7W10Ov2zZ0JTA7kE+WicdDZPTq1BqdOgl0n3LC+2KkierY4PHjwgFosxNjZGX19fuYe0r2QyGaanp/n444+ZnZ2lo6OD3t5ezGYzUqmUra0tPB4P4XCY3d1d6urqjo2HtYjT6WRqagq5XE5PTw/NzS3P/iCRIdPVoNGqUObTCMkUaeEH7o1YQBQEClIZSJ+J9qfuYlWQgNfr5dGjR+TzecbGxujt7S33kPaVBw8ecPv2baamphgcHOTmzZt4vV7+z//5P2SzWUKhEFqtFqVSidfrxWw2o9d/p6jJkWZxcZGpqSnq6uoYHR2lsfEvSXkyJaqOdswtDTSO75L2ethMiETgu2ZrIkYqESdVY0Cm06OT/rTgDncFirdEFEWSySQulwufz4dOp6Ovr4+6urpyD21fSCQSL5ipFouFDz74gBs3bhCLxfjd737HH/7wB7a3t2ltbUWn0+F2u9nd3S330A+UZDLJ/Pw86+vrtLW1MTY2hlb7l4Q7iRJ5+wj2kdNc7MxTuzvB+DcP+WrRjWs7RDAUJLTtI+DZwuH249lNEs8UKACv4qM+1itkPp9ndXWV1dVVdDrdX0yT5nIPa9+YmJjgk08+YXJyEpvNxq9+9SvOnz+PXq8nnU6jVCqpq6vjzJkzdHR0IJFIcDqd9PT0YLVayz38A0EURdxuNw6Hg0wmg8ViwW63o1QU3ahy0A5hGU3xC38U2YNN5v787/xpd4T0KSsWA8jTURIpkZS8Hn1TO52KGnSSVxPbsRZkNptlcnKSpaUlLBYLo6OjR9KbmE6nmZiY4NNPP2VycpLOzk5+9atfceXKlZIparfb+eUvf4nJZOLcuXPIZDKmpqZwOBwEAoEyf4ODIxgMMjs7Szgcpr29HavVilr9fEFaCUh0aDpOcfpnGYSGRRodkFMKFJJxYnI1GqkKhU6BUluPobEWQ40S5StuwY+1IKPRKDMzM3i9Xm7evMnJkydLoXJHhWw2y9TUFL/97W+ZnJykq6uL999/n5/97GdoNBrgmaXQ1NTEhQsX6OrqYnh4mGg0yvT0NC6Xi+3t7TJ/i4PD6XTy8OFDRFHk3LlzWCyW779Q3oDafo132t5hKBolHEkQT4Og0KOp01NfW4NGIUcmk7+QoPxTHFtBFs+YVldXyWQy9PX1YbFYkMmOTtEKURS5d+8en3/+eWnP+Ktf/YpLly6VxJhOp1lZWeHhw4d4PJ7SfUgmkyiVSnw+H9vb26X4zqOOw+Hg8ePHNDQ0cO7cOTo7O3/4YqkapUaNUtNIrTFBMp4jI1Gh0NSge8N5/dgKcmdnh4WFBVKpFG1tbVit1tJDehRIJBLMzs5y+/ZtJicnsVqtfPDBB9y8efMFs3x3d5dvvvmG27dvE4/HOXfuHHK5HIPBQG1tLRKJhEgkQiQSKf33UaRQKJBOp3E6nezs7NDd3U1/fz8GwyuWiZBr0dTB2z5Bx9bLurKywtOnT9HpdJw+fRqTyVTuIe0pExMTfPTRRyUxFveML++RA4EADx8+ZH5+nnA4/MLfjEYjJpOJVCqF2+0mk8kc5Fc4UNLpNPPz87jdburr6+nu7qapqenAx3FsBTk7O8vExARGo5F3332XhoaGcg9pT0gmk9y7d49PP/20ZKbeunWLa9euYTQav3N9MBhkZWWFbDaLWq1+wYFhNpuxWq1ks9lSWOFRJZFI8ODBA1wuF/39/QwPD6NSHXyf7GMpyFAoxNraGj6fD7PZzODg4JHwrgqCwPT0NL/5zW+YmJigq6uLW7ducfPmzR88W5XJZCXzdGho6IVVwWQy0dHRQSaTwel0Eo1GD+qrHDi7u7tMTU0RCoUYHBykr6+vLOb5sdtDxuNxlpeXCQQCGAwGLBbL964chw1BEPj2229Le8bOzk4++OADLl++/KOTjdls5ubNm4yMjHD69OkXopTMZjMdHR0sLy+zsbFxZAWZy+Vwu92sra0hk8kYHBykpaWlLGM5doLc3t7m/v37xONxTp06dSTC5JLJJDMzM3z22WelQ//333+fv/mbv/lrhMn3kM/nSafTNDY2YrfbOXfu3AsPYkNDw7FYIX0+H4uLiwiCQFdXFxaL5aWzx4Pj2JmsHo+HR48ekc1mGR0dxWazlXtIb82jR4/49a9/zfT0dMmB8+677/6oGAuFAn6/n7t37/Jv//ZvjI+PE41GkUr/+kjU1NTQ2tqKKIr4fL7vOH2OAvl8noWFBZaWlmhqamJkZIT6+vqyjedYCTKbzeJwOFhbW6OmpoZTp06VxZO2VxQdEZ9//vkLETjXrl37ye9VdNT8+c9/5osvvmBycpJoNEo+ny9dI5VKqaurw2AwUCgUCIVCR65yQCaTYWJigoWFBaxWK+fPny/r8dexEaQgCGxtbbG+vk6hUKCjo4Ourq6yeNL2iqmpKT766CMmJiaw2WzcunWL69evv9LZWTabJRAIsLOzg1QqxWQyYTabvxMYoVKpaG9vp7Gxkd3dXbxe75GqnrCzs8Py8jI7OztYLBYGBwfLZq7CMdpDptNpZmdncblctLa2MjAw8OqHvhVGLpfjwYMHfPrpp0xNTdHR0cEHH3zAu++++8qJ1VKpFK1WW4rK6evro7Gx8TueRblcTkdHBw6Hg93dXdxuN62trUcioikSibCyskIwGKShoQGLxVJ2b/uxEWQ4HGZ8fByPx8Po6ChDQ0Mv7JcOC6lUiunpaT755BOmpqaw2Wz88pe/fCE29VWQSCSo1Wq6u7sxGo2cPHnye1eGoiBNJhO7u7u4XC5Onz5d1lVkr3C73YyPjyOVShkbG/vhuNUD5PA9kW9IIBBgZmaGcDjMiRMn6OvrO5SCfPjwIR999BFTU1OlcLh33333tfc9iUSCtbU1EokEAwMD9Pb2Ipd/d35WKBS0t7e/IMijErGzsbHBo0ePUCgUnDlzhra2Hygdd4AcvifyDUgkEjgcDsLhMLW1tXR1dR26uMx4PF7K9J+cnCwlF1+/fv2NHFOBQIBHjx4xOztLoVBAp9N97/2QyWQ0NzcfOUGm02nW1tZwOp3U19dz6tSpikhMP/Ima6FQYHl5mbm5OfR6PSdPnsRsNpd7WK/N5OQkH3/8cclMfTmf8XUQBIHNzU3m5ubwer0EAgEymcwPZnQYDAaMRiPpdJpAIEA8Ht+Lr1Q2crkcGxsbuFwuZDIZFouFrq6uiki9O/KCBJiZmWFychKz2cz58+f/Wh/lEJBOp3ny5Elpz1hMobpy5cobn5dFo1FWV1dZX18nnU4jk8l+dE8ok8lKxx+5XI6dnR0ymcyh9VBHo1Gmpqbw+/1YrVZ6e3sr5rsceZM1FouxtLSE0+mktbWVoaGhHz0wrySKycW/+c1vShE4H374IT/72c/e6vA6nU4D0NTURH9/P/39/RiNxh814XU6HVarFa1Wy+bmJqFQ6I0/v9wUzfVYLMbo6Cg9PT3lHlKJI71CFkO+Njc3AbBarbS3tx8Kl70oity9e5fPP/+85MB5Obn4TTEYDJw+fZr//t//OxqNhqGhoZ+svVoUZCaTYWtrC7/ff2jrD3k8Hqanp5HL5Zw6dYqurq5yD6nEkV4hd3d3mZiYIB6PY7fbD00gwMsROMU9482bN986EF4URXZ2dohEIjQ1NdHX1/dKuaAvr5A+n++txlEORFEkFovhcDiIRqM0NDRgt9srqsTlkRbk5uYmExMTAIyOjtLe3l7mEb0aT548KR1tdHV1lfaMe2Fq53I5vvrqK/7H//gffPzxx6yurr4QLvdDFIMItFotW1tb+Hy+QxdCl8vlmJubY2VlBaPRyODgYMXlwR5pQa6trTE1NYVarebChQsVb2I9n1xcPNq4desWV69e3TNHVCaTYWpqii+++IIHDx7g8/nIZrM/+Tq1Wl0qc1JcIQ9bCF0mkylVRyhmt5Q7Mudljqwgg8EgGxsbBIPBkmlWSabJy+Tz+RccON3d3aXk4r3sM5LL5UilUqXzxZaWFpRK5U++TiqV0tTUhMFgIB6Ps7u7e+gqCEQiEebm5vD5fNhsNgYHBytuC3MkBZlMJllcXGRrawuj0YjNZvtJL2I5EQSBu3fvlsRYTC7+qRSqN+H5rlZ9fX309PS8cjMdmUxGQ0MDBoOBVCpFIBAo9ZOsdFKpFA6HA6/Xi0KhwG63YzabK+6ZOJKCDAaD3L17F5/Px6lTpxgeHq7YMLlEIsGjR49KZurzRxv7UcmgWIP1zJkzXLp0iZ6enteKSzUajVgsFgRBwOFwHJpV0uv1MjU1RaFQoK+vj87Ozor0tlfmU/qW7Ozs8OTJE4LBIMPDwwwMDFTcTFjk0aNHfPTRR0xPT5ccOJcvX96XnLx0Ok0ikaCrq4uf//znXL58mebm5tearBobG+ns7CwJMhKJ7Pk494OiP0Gj0TA2Nlax0VpHTpCpVAqXy8Xm5iYqlYr+/v6KvPmJRIJ79+6Vym5YrdZSPuN+1fjxer3cu3ePxcVFUqkUer3+tfdQL6+QhyFAoFgVYH5+nqamJs6fP18Rcavfx5ESZKFQwOVysbS0VNontLW1VeTqODU1VSq7YbfbS5n+++l42tjY4LPPPuN//a//xR/+8Ac8Hs9rv0cxb7BQKBwaQfp8vtLZY2trK319fRXbhPZIReoUCgXm5+eZn5/HbDZz+vTpstZH+T5yuRz379/ns88+Y3p6+oXy/vudMO3xeLh37x67u7uoVCqSyeRrv4dOp6Ozs5NCoYDT6ax4QRY9q9vb27S0tGC1WivuqON5jpQgE4kEMzMzOBwOLly4UHGJtMXk4o8//piZmRnsdjvvv/8+N2/ePJA6Lmq1ulRVbmxs7I3SthQKBSaTCbVaTTweJxQKIQhCRTpI4K9meiKR4J133qn47thHSpB+v5+VlRWi0Sg2m43e3t6KSKkpUgyHm5mZKSUXX7x48cCKKhULJ8diMYaHh984ckmj0WA0GtHpdEQiEXZ2dmhqaqpIT7bH4+Hx48fAs2it7u7uMo/ox6m8O/iGRCIRFhcXCYfDNDU1YbFY0Ov1FbF/jMfj3L9/vxSbWgwU/6Hy/vtBJpMhlUpRX1/P8PAwFy9efON+JjKZjLa2NlpbWwmHw7jd7leK9jlIit2xnU4nPp8PvV7PwMBAxW1hXubICHJ9fZ0nT56gUCgYHR2tiHIMRSYnJ/nXf/1XpqamsNvtfPjhh1y9evXAIocEQcDr9fLVV1/x+9//HpfLRW1t7Rub80VBtrS0EIlEcDqdpZSuSiGXy5VyPnU6HXa7vWzVyF+HIyPIpaUlxsfH0Wq1XLp0qSJufjqd5ttvv+WTTz55wYFz+fLlA3W7p1IplpeXuXv3Lo8fPyYQCHxv/ZxXRSaT0d7e/oIgU6nUHo747SnG7K6trWGxWBgZGaloZ06RIyHIdDrNxsYGm5ubNDY2MjQ0VPZzpkwmw+TkJL/97W+ZmpoqxabeuHHjwM2mRCLBysoKq6urpNNpVCrVW8VwSqVSmpubaW5urlhBhsPhUlWAgYEBBgcH32oSOigqf4Q/QSqVYm1tja2tLTQaDRaLhZaWlrLuHYudi2/fvv3CynjhwoWyVCtIpVKlDI18Po9arX7roOrGxkZaWlqIxWK4XK43OkLZL0RRxOPxsLy8TCaTYWBgAKvVWhH+hJ/i0AsyEonw4MEDdnZ2GBgYoK+vr6ye1Xg8ztOnT0uZ/sWjjevXr5etdIhSqcRkMjE2NlaKXnrbe6RSqWhsbEShUFTc8cfOzg5LS0ukUilaWlpKeZyHgUMvyOfro5w7d67s9VGePHnCxx9/zNOnT0sROPuRtfE6FEWo0+lobm7m5MmTe/K+xffb3t4mEAgQjUYrwou5tLTE06dPS6VKDlO7wUO9hxQEAZfLxeLiIhKJhJGREVpbW8sylmQyybfffsunn35aMlNv3brFe++9V9asdFEU8fv9rK6uEo/HSzVW94KamhosFgsGg6FUTrLcVQQKhQLT09NMTU1hNpu5ePFi2f0Jr8OhXiG3t7dZX18nlUrR09OD3W4vy0r0fHLx9PQ03d3dvP/++9y4caOsnZTgr9FBv/71rykUChgMBjo7O/fkPhUF6ff78Xq9bG1tYbfby+o8CYVCrK6u4vf7effddw9dd+xDu0Jms1kWFhZYXV2lqamJgYEBGhoaDnzjLggC33zzTSlQvBgNs18pVK+DKIoEAgEWFhaYnZ3F6/UiiuIrVQh4FTQaDVarldraWjweDx6Pp6xlPZ7vjq3X67FarTQ1NR0KZ06RQyvIeDzO+Pg4Gxsb9Pf3c/bs2T170F6VRCLB+Pg4t2/fLjlwiilUlVKMOZ1OIwgC9fX1dHd3Y7fb9yyIXaVSlUxWj8fD1tZWWQXp9/t5+PAh6XSa4eFh7HZ72cbyphxaQYbDYZ4+fYrf76e7u5vh4eEDF2QxuXhmZgabzbZvZTfeBrVaTXNzM/39/Zw4cYKOjo4984TK5XJaW1upra1lZ2cHr9db1pIeW1tbPH78mEKhwOjoaEV0s3pdDqUgE4kEGxsbbG9vo9FosNls1NXVHZhpEo/HuXv3Lp999lmpVOOtW7e4du1axayM8MzBkUgkUCqVjIyMcObMmT33OKrVaurq6pDJZMRiMUKhUFlWyWw2y8bGBisrK2i12jfOZik3h1KQTqeT6elpFAoFg4ODB+pZFUWRycnJUtmNYgTOtWvXKq4BbDabZX5+nuXl5dKeaj+qrDU0NNDS0oIoimxubh54XGuhUMDj8bCxsUE+n6etrQ2bzVZRqXevyqEU5MrKCo8fP8ZgMPDOO+8cWL3VbDbL119/zW9/+9tSClXxnLESS0wWPax37txhY2Nj3zIy6uvrsVgsSKVSnE4n4XB4Xz7nh0gmk8zOzrK5uVmqCLCXpTMPkkMnyGw2y/LyMmtra5hMJkZHRw/k5ieTSR4/flwKFO/p6eHDDz/k5s2bFVf9Gp6t5MFgkMXFRaanp3E6nSQSiX0xJ+vr67FarSVB7uzs7Pln/BjBYJAHDx7g9/s5deoUQ0NDB/r5e8mhEmQ+n8ftduNwOMhkMnR0dGCz2Q7EmfPgwQM++uijFyJwLl26VLG1WQRBwO/34/f7yefzNDQ0YDQake9DWOHLgtzd3d3zz/gxAoEA09PTRCIRTp48SW9v76E66nieQxUYUOzrt7u7S2dn54EEAsTjcWZmZkqB4sXGN9euXasob+rLyOVy9Ho9p06dwmAwcPXqe1itXSiUSkAAIUdWlCNK5ChkbzczF/enUqmUjY2NA10h4/E4DoeDYDBIfX09drv90JqrcMgEWSzHkM1mOX369IG0EZuYmCjVwOnp6eGDDz7Ys8Y3+8maAIkAACAASURBVIkoijQ0NHDlyhVOnx7lzJkxTGYTUkSyfiehcIRQTRuqehMtWlC/hSLVajXt7e0oFAr8fj/BYHDvvsiPIAhCqTu2wWDg5MmTexYWWC4OlcnqcrlK50znzp2jo6Nj3z4rnU7zzTfflPaMzxcxPgwzsMvl4t69e0xNTRFPpNDp61DI5ZBbZ+XuF/zh4y/4j3EHS1FIv2X4qUQioba2tnRfwuEwsVhs3+NaRVFkZmaGmZkZWlpaOHfuXEUEt78Nh0KQoiiSSqVwOp0EAgFqa2vp7+/ft5ufTqeZmJjgN7/5DVNTU/T09PAP//AP3Lx589AEKj99+pR/+Zd/4X/+z//JH7/8E7uhHRBTZDYe8/j//htf/P4rvpn14UzAXhzlK1UqWltbaW1pJhGPs7m5ibDP55GxWIyFhQU2NzexWCwMDQ2VPVzxbTkUgsxkMiwuLuJwOKirq8Nut+9bjGKxc/Gvf/1rnj59WtozXrhw4VCda3k8Hp48mXi2WsVDIImTj3hZfLTI6qKDYDpKopAnI8BeLGQSoK29jfa2NhKJBE6Xm+w+Ru1ks1mcTicul4tCoUBXV9eeRiGVi0Oxhyx2FHY4HPT39zM6Orov4ig6cD7//PMXsjauX79+6GbeVCpFNpdDrdXTa21Dm/ER8uSY9SlIqoy0NtcgGOTIf3BOS5OLRgknBLLSGmp0WvQ1EmRinkwqRy4rIlHIUWqVSBHIxlLUKDU0Nnews+1lZWEWW3sHbVYbMrUKhQz2Uio7OztMT0+TSCSw2Wz7FvRw0BwKQUYiESYmJvD5fFy4cIGhoaF9qQpQPGecmZkpReBcunTp0IkRnhWiampqwtTSymifHal3E3cSom0DGLqWUPi8hBEQxe9bITMQdrK1ts6iM0VQqMdo6aS3t456WZyQw8OWJ0teW09zTwN6McrOgpvdQAJBa2J7fZ25xw8xKTSE3pGi7bLT0iCncQ/tMYfDwcTEBAqFgrGxsbLlwe41FS/IbDaL2+3G5XIB0NfXt+c3P5lM8uTJEz777LNSoPitW7e4cuVKxYXDvQr5vIC5uZUb169wwlbPqb4WNv15YvI62nqbqHM34Qh4iRUKiPDM3gRAhMgKPpeTBWeM3ZyAkE0RWl0j4HQQlp6nvzWLPPCUhekYa/lmTuzU0il1szm7yIrQxlqmlhVfhMDWFPpMGLegQyu0cHHAQOMe+sJWV1dLNW4vXLhw6L2rRSpekD6fj4WFBQRBwGq10tnZuaerYz6fL1WHK0bgHFYzFZ59H5/PTwEJfd1dnLZKMOi1rMbbqDH2MtKWZKe2gFMKAlIkMnhWcLwAmQDbs3cYf7zOeMyGeXSEsZ489dtult1OvLunaa7PYo6v4/WEGQ8WoJBAqVzC75jEKUuzKvTg3E5i3NrEpQyxYxqjpvVv6LEYYI8EGQwGS2ePZ8+epb+/vyJDF9+Eihfk8vJyqT7KyMjInkbwF5OLnz/0v3XrFhcuXDiUYoRnnsep6Sm+/vrP7Gw5ke+0c/rCCRr6TmAdMGOp8ZKTF5BJJSBTIFeCUgrgIbE1xdd3VnjklKM508WJPjvdzXlS4RDqNoFcp5lWYYH8jptwIEFE7CPX0EWNOoRhLYsiEiQvyYBMhUwqIx/PkU9nkCpFpHu0vUskEiwsLOD1eg9Fd+zXpaIFmclkmJ2dZWlpiRMnTnDu3Lk9O5B/OQKnu7ubDz74gOvXr1dsONyrsLu7y7d37nD7s0/we7x47adJCG20Sw3I5X6CsTVW59ysBXbxrD6lbmGEBaWRXtkKu7N3ebAm4tGf4b+9M8x5ez1aCmRHLtEgUaPQyhGe3mHKtU0sbcDYb8N2doCWRIDEQy01Qg2m5iZk9hY0iSYEQYFGW4e9U4lpjyz/3d1d7t27x87ODqdPn+bkyZNHRoxQ4YLc2dlhZWWFQCDA3/7t33Ly5Mk9E8ujR49Ke8ZibOrFixcPtRjhmQNsYXEBn8cLgN/vZOLufzLlnKKgUSAmw0TXFvH6wsS8vyOibKRGuElS6iQ/u0REeQZVzzBtpkaeTX1SlHoDz6KF0/i2fWy44iRU/XQM2hmwimif+PB5BWLadtoH+mhv9LPrMbC9JaNepsZilGPaoydte3ubx48fEw6H+fu///uK72b1ulSsIBOJBEtLS2xvb1NXV1eq3fK2xONxJicnS/0ZbTYbH374Ie+9996R2IfodDp6uns4f/48UomEk+0ttDYZCeUEInmBQo2arEqJUiZDoVKj1spRySDjduNb3yLTcANjtw1TKeYiRzopkBdyqFUePIEQq75a5D39DA830avZwOdzshypI2sdYGzEQo3DwP17UlaRkCmItMpy7EU+TDqdxul04na7qa+vZ2Bg4Mg4c4pUrCDdbjePHz9GEARGR0exWq1v/Z7F5OLioX8xNvWoiBGeBXqfPXsWk8lEY2MjJwf66WhrIycI5AsiQtrB9Ef/wrcP1tkc/pDRX/1X/otFgz6WZCuTIhaJoIlECYU0tDQkIRvHE5AhIUqTapFAKIEr301tax+nWkUaIitM+mJs6vpos5/gbIcK2W6KeeJkClKymQTKROatH7Rid+yVlRXkcjk2m4329vaKbIH3NlSsIDc2Nrh//z5SqZQLFy68tSCz2SzffvvtC2bqrVu3uHjx4pERIzxrULq8vIxEImFwcJCxd95B/sJDqyVl1rGokhEyWWjoNGE1gdpqpKlRSXrmW56EJfzaaaKnrRaDwYjG1Iu9LoWwOYvXu41De4pz7d3Y5XHEp9M4N4NEmt9jqMdOtzZJNhtAGdskE1UQisYIJiANvE0oRy6XY25ujsXFRVpaWjh16tShCWN8HSpyesnlcjgcDpxOJ3q9nqGhobeqVVNMLv7000+ZmZmht7eXDz/8kOvXrx/6YOQioigSj8eZmJjgd7/7HePj42Qyme/+wLk8ktpWGq122urVGHIgiKCwDNM9do7++iwK17fMTzzi0YyDhc0MeaUGfZ0eRUGDtqEVy9kB7HYTdYKEXKoGrcnK0Fgf/V11GORydNpG6utNqKQi6XScSCbH29YqKG41XC4XPT09nDp16sCLmh0EFbdCPh+jKJPJ6OzspLOz861Mk/v373P79m1mZ2dLDpwLFy4cegfO8wiCgMfjYWlpqTSRAd+5b6K0nvZLH3CtN0ay3k5dHdQANJzC8q6Wf9QtMLKZIKkxYTB30N7ejqVdS71OjtJ6kzO6LC2SDlpaaqjRNCEb+CUXmwsM6Hsxt0CNUo/i5M/pfm+XNt+fMMgyqNPbSHPNoHhzAQUCAZaWlgiHw3R3d1dcd+y9ouIEmUgkePLkCZubm9jt9reqPB2Px5mamiodbfT09ByK5OI3oVhNYXV1lVAohFwu/977JpHpaOg+TcPLnb0VTei6mrjQMcRYIk1EqEGh0VFXsjMV0DyErRlspRcZUFnP0vvCbqIGRdsYXRcTdM8FEQoF8kEXmYgF3RtWvItGoywtLRGJRF7ojn0UqTiTNRgM8uTJE3Z3dzl58iT9/f1v/F4TExOluqm9vb2lcLijJkZ45vRIJpNkMhnUajVNTU1vFkQh16OsbaKp4Xkxvj61TS3Y7HZUSgVut5vAduCN32tlZYXJyUnUajWjo6MV0Yx3v6i4FdLr9fL06VNyuRzDw8NvVOw2nU4zPj5eyvR/vgvVYUgufhNkMhlms5mrV69is9k4d+5cWWvEGgx6uqxd+LxeHE4Xfv82AwNv9l4LCws8evQIo9HIpUuXDqzKYDmoqBUyHA6ztrZGNBqlsbERu93+2p60dDrN48ePS8nFfX19hy65+E0oFAoUCgVsNhvvv/8+ly9fLmv+pl6no6vLilKpxOl0sv0GK6QoiiSTSdbX13G73RiNRoaGho7spAoVtEIW66MsLy9TW1vLwMDAa1fZLiYX3759+4XqcOfPnz9UycVvQigU4ssvv2Rubo7z589jsVjKGlJWU1OD1fpMkG63m0Dg9QWZTqdZXV3F4/GUOm2Vuzv2flMxgsxmszx58oT5+flSSs3r7PVisdgLsanFQ/9r164d2kDxV6XYJ/M///M/efjwITKZjNHRUex2e9kOzov5mDqdjlQqRSgUIpPJvFYScSgUYnx8nFAoVBHdsQ+CijFZY7EYs7OzuFwuLBYLp06dei0hPX78mH/91399wYFTCS3hDoJ0Oo3X6yUUCqFUKjEajdTV1ZU9iqXY9ry2tpZEIoHX60UQhFd+vc/n4/Hjx6RSKU6fPn0ou1m9LhWxQqZSKRwOB16vF7lcjtVqxWw2v5Jp8vKhfzGF6vLly4cyufhNkEqlpRVJpVIxODhIS0tL2QUJYDKZaGtrK8WhNjY2vtKRRTFUbn5+nsbGxiPvXS1S/l+MZ57VyclJBEHgxIkTr7z/yeVypepwxZXxH/7hH7h+/fqxESM82ztrtVq6uroYGRmhr6+vYhxYJpOJjo4OMpkMTqeTaDT6Sq/b3t5mY2ODRCKByWTCZrMdyeOql6kIQTocDsbHx5HL5Zw5c4b29vaffE0+n+frr79+obx/sQbOUYrAeRW2t7cJBoO0tLQwOjpKR0dHRayOAGazmc7OTjKZDA6Hg1gs9pOvSafTzM/Ps7Gxgclkor+/vyzdsctB2X81QRBYXV1laWmJuro6zpw585PnZ/F4nIcPH3L79u0XClJdv369Ihvf7DfLy8vcuXMHt9uNXC6vqOprRqORjo4OUqkU6+vrryTI4u/rcDieBciPjSGXV8Tuat8p67cURRGfz8fGxgbRaJTW1lYGBgZ+coV7+PAhn332GbOzs6UuVEctNvVVEUWRpaUlvvjiC7LZLGaz+cD7M/4YdXV1dHR0kM1m8fl8RCKRn3xNMBhkenqaQCDAL37xi32rMliJlFWQiUSCubk5fD4fzc3N2O32H937FbMZXl4Zr1y5cmRjG3+KdDqNw+FgbW0NmUxGPp8v95BeQC6XYzQaUavVJBIJQqEQ+Xz+B1e8RCKBw+F4oTv2UcnIeRXKarIGAgHGx8eJRqOcOnWK3t7eH7y2UCiUkoufT6G6evXqsRUjPDu/lclkNDQ0cObMGUZGRirufmg0GsxmMzqdjmAw+KMNXZ1OJ0+fPkWpVB54d+xKoKwrpNfr5eHDh+RyOc6cOUNPT8/3XpfJZLh79y6fffbZCw6cixcvvnEmyFFBo9Fw7tw58vk8XV1dnDlzpuIEqVQqaWtrw+12s7u7i8fjoba29nvN0MXFRSYmJqirqytVPjhOlGWFFEWRbDaLy+XC5/Oh0Wjo6+v73uyERCLBo0eP+PTTT5meni6tjDdu3DhWpsz3IQgC4XAYlUrFyZMnOXv2bClcrZKQy+V0dnZiNpvZ3d3F6XSSyWS+c10qlWJpaYn19fVSVYDjNuGWZYXM5/Osra2xvr6OVqvFbrf/YAT/gwcPvrMyHofY1Fdhd3e3VJZEEASam5sr0rGlUChob2/HZDKxvr6Oy+Uim32xhkChUGBrawuHw0EqlcJisWC32yvKY3wQlEWQuVyOJ0+esLi4SFdXF2fPnv2OmRWLxZiamiqJsbu7u5RcfBzC4V6Fzc1Nfve73/Hxxx+jVCq5du1auYf0vchkMjo6OjCbzaWmSS8LMhwOMzMzQzAYpL29/dgEArxMWUzWeDzO9PQ0LpcLm83G0NDQd1a8J0+elKrD9fX18eGHH3LlypWqGJ9jZ2eHqakpstksUqm0YlcTqVSKyWTCaDQSiUTweDykUqkXrtnc3HyhymBnZ2eZRlteDlyQgiCwtbXF2toamUyGnp6eF2rmpNNpvv76az755JMX+jMe5eTiNyWfz5PP51Gr1W+UrnaQKBQKGhoaUCgUxONxQqHQCx2WHQ4Hjx49QiKRcP78+VeK1jqKHLjJuru7y9zcHMlkkra2Nrq6ukqmSSqV4smTJ/z2t78trYzvv/8+N27cqNjZv5zodDqGhoZoaGjg+vXrFb+qGAwGWlpaSkECyWQSjUZDLpfD6XTi9/vp7OzkxIkTx9Zhd+CCXF9fZ2ZmBrVazfDw8AvOnGJy8ezsbKnXxvnz56ti/AG0Wi1jY2OcPXuWq1evvlG5k4NEq9VisVjY3NzE4/EQDoeRyWQlR09tbS12ux2TyXQs4la/jwMVpCiKzM/PMzMzQ0dHB1evXqW1tZV4PM7Tp09Lmf5VB86PI4oi4XAYt9tNLBZjYGCAwcHBivc863Q6rFYrwWAQj8dDMBhEqVQyPj6Oy+ViYGCAkZGRYz0BH+geMhwOs7KywtbWFs3NzYyOjqJQKHj8+DH/+3//b2ZnZ0vnjMclufhNyGazrK+v8+c//5nf//73PHr0iN3d3XIP6yfRarVYrVa0Wi1bW1tsb28TCoWYnJxke3ubwcFBTpw4gUy2l83PDxcHtkImk0lWVlbw+XzU1dUxODiIVqvl4cOHpeTi4jnju+++e6zyGV+XVCrF3Nwcd+/eZWJiorQfHxwcRCaTkU6nSyUhM5lMyQt74sQJzp49W7aJrhibqtPpSm0BionIEomEgYGBYxcq9zIHJki/38/4+DjpdJrTp09jNptL1eGKETjFFKpKN73KjSAIxONxZDIZWq2WeDzOV199VWpEk0gkiMVixONxYrEYXq+XZDLJP/7jP9LX11c2QRZD6GprawkEAjx69IhsNosgCFgsFqxW67E2V+EABVmMW5VKpQwNDeF2u5mYmPhOef+qGH8alUpFd3c3169fx2azIZfLaWxsRCqVIggC9fX1mM1mBEEgFoshCAKzs7Ps7OyQy+XKOnaNRlM6npmZmQGepWgNDw+XtY5spXAggszlcni9XlwuF3V1daU0qoWFBfr6+vjFL35x6DsXHySFQqHU98Rms9HS0kJtbS3JZJJ0Oo1ery+d+fl8PhobG9HpdFgslopI9DWZTJhMJqamplCr1Vy9epV33nmn6jPgAARZbAKzublJLpfD7XZz7949UqlUqVTj+fPnq2J8DQKBAH/84x/Z3Nzkxo0bDA4O0tTURC6XQxAEFAoFarUaQRAIBAJIJBK6urqw2+0VYYHU1dVhMplIJpOEQiE6Ozs5efLksTdX4QAEmc1mmZ+f5+nTp6X6nFqtlrNnz/Lzn/+cK1euVMRDclgoOkG+/fZbdnZ2OHfuHHq9/nuzIvL5PC6XC6/XS1tbGwMDAxWRPaFWq9HpdMjlcpRKJWazuerE+wv7fuwRi8WYnp5mYmKCSCRCQ0MDg4OD/N3f/R3vvvtuVYyvSSQSweFwsLu7Sy6XQxRFCoXC916bSqVwOp0EAgEaGhpoa2urCJM1mUwSi8WQSCRoNJqqqfoc+/7reL1epqenWVlZobW1lbGxMa5fv86JEydQKBQlp0OVH0cul5dWvPX1dSKRCAaDoWSaRqNRRFFEFEUkEglKpRK/34/X6yWRSKDT6Uoe2XLcb4lEglwuRxAEnE4nS0tLRKNRMpnMCzGtx519FWSxWNHc3FzpQdBqtWSzWSYmJshkMj84u1d5EYVCQS6XY3Nzk6dPnxKLxaipqcHlcnH//n0KhcILgqypqcHj8bCxsUE4HGZ9fZ179+4hCEJZ6u5IJBIUCgX5fJ779++zubmJVCqtiBW7kti3uyGKIg6Hg4mJCTY3N4FnjTenp6dxu90UCoXvzRqv8v1IpVIKhQKJRAK/349MJiOVSvH1118zPT2NIAgvrDQKhYJEIsHm5iaZTIY7d+4wNzeHIAhlmwSLxzLhcJja2loaGxvp7e2tmqzPIRH3yV4QRZGZmaf86U9/YnJygng8hl7/zMTK5XLVlfENKbYNkEqliKJIPp//3nspiiJSqRSFQoFEIiGfz5d9a1Acp16vp6mpCY1Gg8Vi4Z133sFms/3Eq48H+yZIgHgiQSQSIZVIUCgUkPwl5/Hl2fzII5FQzF142+8tlUpLovwxQT772Gf7NolEgiAIZRdk8bsrlUpqamqQyeSoVEq0Wm3F1QEqF/sqyCpVqrwe+7ujTvvJJeIE8kaoqcVsqJB2W1UqDrEgUBClSGV/tSaOI/uojxzxlQk2ljdY0J9F13uWd2rAeDwqwj+HSD6dJBlJIarUqGq1KCWS8jdVKSe5JNlUnEQWsqIcGTnEfIG8RI2qtp66mgpoOlMm9keQYhoxtMjCnS/55kkAz6iFk72QP3ZTXwZia6w/dTHrkKLtsjN4xoZZcXwfOABEkUI6QtixzPpWCH9Wi1zbSJNBjkomBaUOvakZY5ORxhpQHqPnZn8EmdkitPwND+5N8eWinroBKe/oQXnc8k7T26SWv+Th7yf5fLGdrr/R0nTaRtOxsxJeQq5GJi+QWrvD7J8nuJMbobb/Hd6zpJFvzrO8mSFpu8rQ5av8rM9A8zE6FdnjiVoEdklE1phf2WB2JcFuRI1KpaJWD4pjNNNBmFxokbmn09y9v8jc/Ba+YJKU+OwuHWukMqRKCentTXbWVvHGZGQa22lqbae9PoUmOMXjb+7y5Z0ltoOpn36/I8TerpBiCiHkIODdYiOtJClvolGjp0mnRKM8TmZaHiHqIuBcYGEnR0CsQ6+qoV4pRSb5IUEKFHI5coIEpHLkChlSCSAKiCIURAkSiQSZBJCIFAogIkUq5ZkTRBQoiBJEJEglEiq7RpSAKMaJJBRkZVZsQ2c4f/UdznQI1NYuIDhm+f03bhyLLhIxO3B8MoH2UJAFsqkIm/M+ApEY6gYNtR2NxF06ahRyajg+ghTFKJsLWzgXg0jqa2nuVxCbVaESC0hEEb7Pjxh143O4cIUgo2vD1N5GmwHU2V3CkTg7aRUSZS2ttQI1hRie7TwJZSPNHQ00KmJkd7y4dqWklfW0NtfSoKlkf3aIQnILz66UnUIP7d09jHXLaEIGQppkOExaMKNW60F+vOz7PfvVxJSfiMfNuk+OVN1IV3OSpWYVjh0NEpkCDXAstpDZIMntZdYcSfy5Vjp7tMRiPryrMoR84TurYyGxS2zHg8fjxeP3EorF8ecDKDeTnB8wYq/xElyaYcYnJ1bbR7dJpD7uYnE+QtTQSd+lXjp1QUKzs0zO5knX9zJ2fZiTnbWUP9HqB8gHyPqW2dxJ4kw2UR/zknJoWciFCE0EWMx20jV6lq4LPTTWH6MNJHslSCFLyrFMwOEhqLbTZKqhLutEUciTUWtRKJVo9+zDKpus18H20gLbtEJvF20tC0RmPagkUgoiSCTP2wlBAvPf8PTRMguFDnRWM72dGcKzDuaW87RpTtFlTZBaG8exlMLRnMe3q6bRM8vaAweJ+lYiml02TRm2n0wz+WWUQlsa7XAXLZ21aKhQqyS8S3xjne1kFL9Ez+7aONOf3eUrT5jdhBpV1/vcOHuOsydbaa09FtN4ibfXiJiCmIutjTXm1+PsmEyoI2G23Fu4A0niKg1KtRodFfpw7BWFFGTDBPwB1nf1aCwn6BszYRf8bEmkKCRyFGo1NWpQAaS2yfoeMD0xyd0VJfS00WfvpKdBhRjzEM3oMBhUFApZoltb+NfieJUR6tpVNNTkyMR8eHaysNZBjUaORJYhHosS90dJpZ+FyFXqNjIbCOBbdRGXazGcGKajQ4kxPY1/fZqFZD+17R1c6rAwaFZxvAzWvRBkeoeEb42teIFtaS3SVBghvoh7zYUzUkOqQYe6Rl255tNekQsheB+x4tpmItRJR4uUhrSXeGwbXyhOPK1EEw4TDGWJG2Rotpdx3/2/TDqUbLbe4PrYKS7aVGjkShix0tCrobVNSmY9iicAwWQjWoOZwYEmrE31+B7qWdlsRCJrx9YooLfVsmRXkle00VSjppFKFWSekN/P+kaYnLafwesf8N55NafjBqzCJu4/bbE8s8DSWTsXei20lHu4B8xbCjJCPBTBsVkgr++i12qmViaiD+7g35ZRo1Uh0dWiUak58nUB0hEiK09YfLDAn9Ya0Tz6iqUvUwgpJ3MTDhY2VKwJIjXNCjJ/a6N528HS+Bb+wkmMV0/QM1CLXgXQirldglkCsI4j7GHNKyWmsNHX081wSwqVP0osKydZ10Wz1Y7dsIHgSiA3mlA22DHpdVRmIzcBCLDt32HVIUe0tdAz0o69CxoKQ4z5n2C/P87c0jQrKyOsXLFQq4bjtIt8K0H65r5gfl3NWrAJy6Cdc2PNGApp0osL/39797LbxBUGcPx/Zuzx+J442LETJ05CLpALCbT0CkUti6ot6uVB+gx9iy76Cl120xUrWmgrKhFxCSUE50qIgxPb8TXjOV2AkIrUVVR6lHy/5Swsy9Jf+ubMmWPadzrQqtFsNqk22jQ9jRs4xvsUtcOhjhG2usQOizxbLXJr+xAOy2xvltg7cNGbTykur1L6IEjr2Q6Ly0EOx9LMTveRe3WkjIfWFp7vYTdXqG6vsdrpgaF5ZiaHGOr8yvJfT9hsRglOzTI5laW3fYellW3awQLJ0SGi0bChv3MbuivslqsUa4M4iQHG85AEsEKEYhFc28evV6nXWxx04c2/Sv3/OlKQP3//Aw+c99kb/YreSIa4UihVYW+ryN2lNVZXAux762zs7LFZz1JIBo7vPUEkQ3zmcy6lLlAot6i1u2hdgcoiv1+/z/XbLon5K3z29UUuDjZZv1dmr+TRyDuEI9bLCcKD2jOq3Ri1Q01sa5X9pyX2+kaJTc9zJu3ibqzydGOXTvpDhhfmmMiE0IvP2VyvYaeCpPMJrOCLBSTLtCr9A9h+ROl5jTUnz1h6kIkE9ALU9ilvbFGq+zST/fT2Jck5HP/J6jVHG1ntflKZLKmxPtI9Nhof2h06zimCI+/zth/g7ECe0+nQ8d+d4sSJ5GcZz88y/uriARyEsLfrLC655Kfn+eDyW0yxBmGLvtAO68U/+OWnAl4hzmRY4SqF6h8jZLVoLz1mbaXEYe4KuXMjZJxddu4/4eGKhzMxxvTFAbLRNXZXi9y/X2Z3okKv36BFgi6WQYtoGu01aGw9YOfGDW4vLvOwcZ54tczzB4ssMQ5RrwAAAnhJREFUtQ7YX77J0s0S27FJps5d5t25QUaCcNLekjxSkJ9++x2em0TFUiRiYKEglCG78AUfj13h7bZCOzGiiTjJqH0iHnv8kw9+ANtxicRDhB3QKCBHenCYmRnFg8U/+e3HLlu5U5wZGyYzOsd82mUqWqfS6FBrueTODjBxOoprP6ZYtqh5QwwX8sxMBIiqCuuNFnv1II2qh27WQGXQypwcQaM7VSobT7h3d43VnSo62KRdWePRrQ2K+5s8Xt5iozJIz/lLXL16ictn+ziJf897pEZyE2dfu6LAcnGTLm6yn/RRPvxYsMAap3AhyJexAPHxAVI++JZDYvQdLn5zQD3/hMVShEBPhmx+hIGhPNlkmJ5oAmv6I2ZjCwyPTlHIKqJ+L73zV3kv1cVZmORMCCI6Se+ZS7xzbZzJ/imGh+PkwsqwTRgKZYcIpcZIL1zjk0yH+dAQmf4+CtEm3Z4oKjZKzsmTn55jfi5L3j3mj8n+hZwY8J/SoH26XZ+uD8qysQMvR0ndRXs19p+VeL7XpuP2EE31kYo5RBwbW2l8z8P3NdhBLFthaZ+u18X3QQUD2JZC0aFRrlKvdyASw03GCNsWAdPuH7WP73dffH8NWlkopbB4cVqerwEVwA4GCJ7EEl+SIE3ge2grYOjKqHiTJEghDHKChwMhzCNBCmEQCVIIg0iQQhhEghTCIBKkEAaRIIUwiAQphEEkSCEMIkEKYRAJUgiDSJBCGESCFMIgEqQQBpEghTCIBCmEQSRIIQwiQQphEAlSCINIkEIYRIIUwiASpBAGkSCFMIgEKYRBJEghDCJBCmEQCVIIg0iQQhhEghTCIBKkEAb5GzGqEaobRKivAAAAAElFTkSuQmCC)
maths-General