Question
A ray of light traveling in air is incident at grazing angle (Ð >i 90º) on a long rectangular slab of a transparent medium of thickness t = 1.0 m The point of incidence is the medium A (0, 0) The medium has a variable index of refraction n(y) given by
where
The refractive index of air is 1 The incident angle at B(x, y) in the medium and the slope at B are related by the formula
![](data:image/png;base64,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)
The correct answer is: ![fraction numerator d y over denominator d x end fraction equals c o t invisible function application i](data:image/png;base64,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)
Related Questions to study
A point object ‘O’ is placed along x-axis An equi-convex thin lens
of focal length f=20cm in air is placed so that its principal axis is along x-axis Now the lens is cut at the middle (along the principal axis) and upper half is shifted along x-axis and y-axis by 20cm and 2mm respectively and right side of lower half is filled with water
co-ordinates of image formed by lenses are
![](data:image/png;base64,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)
A point object ‘O’ is placed along x-axis An equi-convex thin lens
of focal length f=20cm in air is placed so that its principal axis is along x-axis Now the lens is cut at the middle (along the principal axis) and upper half is shifted along x-axis and y-axis by 20cm and 2mm respectively and right side of lower half is filled with water
co-ordinates of image formed by lenses are
![](data:image/png;base64,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)
An object is placed 20 cm in front of a plano– convex lens of focal length 15 cm The plane surface of the lens is silvered The image will be formed at a distance
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UoCDqAkps3YJVIxFx93tsiLFxoe6vMQ6JCEG8KExSrUgnN9MnIbFRbzBGxSKXukx83QlT4PJWh/ig4Hip8yjgOgwGWzEwY790R21/5+/cKERG3HTYACn9fEdHIurUX7sbKQf3EgK7czRuYIB2HMfourGolJePLMCQqBPGGcINFw/Gj7AreVUJcdOmC+8zHz7PNjz8/+dFhNDGhSUfx9atCZLSL54kyYZd9SyNI2zSF3O0Pppk6AbpVS8VjFl8NE306lrQU2LKz4RSDwEhsPB0SFYJ4Q8wpydBMGANph5bQLpkvxux+KjwjKq8yTtjpENEMLxO2qVWiBJlHJaIfZfN65HD7FhbJ8EFkmU3qIotFbsK+ZWh/5MybhfyD+2CKi4W9lOe0EB8fJCoE8QY4i4thOHYEklZNxBz2kls332ok7/vmSfPjkH4oCDn0+h31bpxmsyhU4BFJ4YWzyA/cBe3yxdCMHwUlEyyFXw/hhKzo7ysS/rxsmbbGPBsSFYJ4A8wJD5EzYyokzeuzKGWBSFZ/Sohxwmzhl/ftiTwmBL/k/fU68Kowbt9ScvuWmCbJPx8+p167bJEQX+qo92xIVAjiNXE67Mg/EChmjfC5I4Xnz7rPfDrwai/V8EGQtG0G7cI5YmuqtCu3eBWcXe+ybzGnJsOSke4aUkaRikdDokIQrwNbEC3sKlw9frQos9VvXAcb+/5Tg88/UQ7wQ3q1CkxYmov+Gl7llbdnJwpPnxTNnBZJFhzFZF9PvB4kKgTxGjiKCkXuQObVSXSgl9y45j7zaSHGCQ/qh/QalYVXGU+si9ko7VoKK/vs6ZOg37BG+HWV3I2CJSsDNrVaJOp5TwqoH4V4CSQqBPEacNPInAWzRGVTzqypYmvnU4Qn6tVjRkDWvROyZ04Vtiy5W9YzMZkshnBxu3pph1aiXFjWtT1Ug/2RM2eGmKNSdPkizMlJsBsK3Y9GED9CokIQr0HR5QvC2ZdXNfFhVZ/q9pCr+XGcaGjkc0647YrDUCAimMKzp4Q5Zs7saVAN8Ye8B4vKOrVxNTvyAVzDBiJ78njoVi4VfSuFF86waOa2GCcsciaUiC/TkKgQxCvCjRX1m9Yhq3EdYWNiVSrcZz49npQUD3p2ngpP1vMyYS6W9vw8WGQSGG/fgiEkGPo1K6CZMBry3t1cQ7j4lhn7Ku/dFepJY8T5giPBMEbdEs4C/P58pDBP2JN9S9mBRIUgXgFu384HTKnHDBfNjnl7d33SC+UzzY98nHCu3n3mBbDIg1dx8UiEJ/ALL5wT1W+6VctEqbCwb+GGlDzP1LmtK6IZ3FdsD+Zu3QjDmZPs+e4LUXZS5ZfHQ6JCEK+AnV1x8yiF5xfUE0aJ7Z5PmSeRCp/8GHzg50XlJdgLC4WrQFHYRVE1pp0/S1i1yLp3hKRtUyG+8t7dn9jp854VMQyMhMWjIVEhiFfAIpNCPXKo6KDn81JsOdnuM58mz0Qq3KblTTvqWbQm7Fvy84W/Fy9DLnHbtwi34+mTXF313TtAPX4Eiq9cppyLh0OiQhC/gKO4GEVsMeRRiqxbR5TcYVGK7S0nIn5gxDjhMcMh8+4iKr/49lZp4igphkWaJdyOC0+fcI0TZkLDmyApUvFsSFQI4hewZmVCt3qFGGDFcwifcoL+MWLy4xB/ZDaoJbasCg4EinyJ+dFDEW1wg0mH6eOfC0N8fJCoEMQvUBxxHcrB/lD09kL+/j1wFBrcZz5duKgo/H2QXvErpP9QEZImdSHnQ7hGDoV2+SKRZym+dRMWheyTGDpGfDyQqBDEz+B0OEQvhqRlY2jGjhR9HE7bpz9GV4wTDhgISfMGkHt3FZYt/OBz9uW+XuLgoqMeEwDt4vnI27VdbGPx7SyrTEpCQ7wUEhWCeBlOp0jIaxfOFb0putXLxWRET+Bx9ZdyUF/k7dwmqtlK7kSJuSc5S+aJOSjcNYC/b27fwkuFVbyKa+YU5G5cC8OJoy5/sPQ0sR1oz9W77FsoCV/mIVEhiJfAr8b5HHbu5ivt0haGY6Hsh+6TnzhCVHhHPROPgtAgkUPhTY+2nBxYMtJgiotB8bWrKAg+KJoas6dNEpGNvGcXYd0iadHIZd8yrD+08+cgf+8uMemROxE7jExciDILiQpBvARHQb6ojOKjctXjRsJ479PuTXmaVy4pdrBoTa2GKSYahtMnRTOjmPI4pL8QGN6TIu/ZDYq+vUU/Cn9M3YrFyAvcLexeePQjLO/ZZ0mUDUhUCOIlcEt77nEl69JOLKZWudR95tPniagM6vNq44QdDjF8y2kyiUZQC/ssSm5HoiAkCLpVy4Xoco8wPg4gq2EtSFrziZjeIhrSsUiHT8k0PYz3mO1D4uWQqBDES+BJeUXvbpB1a4+iK5fEguopPM6pCFHhHfW/JCovgBcs2HU6l31L9F3hXswFSrd6mfBG49uGfNSytH1LIczZUyeJ7UTqU/FsSFQI4gXwLnHDqeOQtm0mqqLM6anuM56Ba5zwaCj8ewsh4M2KpYUtPw/mxAQUXTwvigByZkyGatQwaBfMQUlkBImKh0OiQhAvgHtU6dauFP5VfI4IN0P0JHgUph45RDR0apcvZiLwSDgT82iMb3O9bRWXcDtmj8W3u+xarZhZb1Wr4CikGSyeDokKQbyAksib0EwYBYWPl/D6cpqM7jOegel+LJT+vkiv8i2yWjQQQ7h4JMHfayGLMEwJ8aVu3UKUDUhUCOIFGI6GiKom9ehhKLp2xXX17kEIm5YBfZBRrQIy61UXCXZppzZQ+HlDNWqoGNAlxgkfC0XxzRuiWdKSlcmExlV6TBAvg0SFIJ6Dz/zI3bgOkmYNkDNvliiJ9bQ8AJ9vIiq2mHBmz5kuJj1ya3/N1Amik17arvmTufW8qks9doSYn1IQGuwqE1Yp4bAwcaH8CPEcJCoE8QxO2HRaZM+YjKwGNUWimbsUexqu5kc+YGsg8oMOiBwSt/fng8gMx4+4xgnPmwn1iCGiB0Xh6+2yb/Hpzr7vxaIZbt8yT9i3FJ07BWNMtOis58PMiLINiQpBPIXTaoExNhqqYQPE1XrhuTPuM57FT/pUXjCki4spj9J4pzzvmM9ZOBvKof6QCfuWui7fsO4dxWeVPWsa9BvXCEHikQwf3mWVy1xux9y+hSKaMgOJCkE8hd1QIHyt+BaQor8fSm5Huc94Fq/cUc/g4sI90CxZGeJ+3LWZNz3q16wUQ7h4d73Mq6Nrbn2z+qInhUdA3Igy/8BeYffCIyFepk14PiQqBPEUNo1aJKjlft7Inj0d5qRE9xnP4ieRik7rPvNqOO02WBVy1xCuk8dd22VzZoiohY8Qlnt3gdzHC4q+PYVAayaOFXP9aUiX50OiQhBPwa+o+SAuea9uyNu+1SMGcr2IZyKV4IMiQnsjuEDwnhSrVUQ0fMur5NZNYUTJPcDUo4aJXhhuQqkeHSC20sjJ2LMhUSGIp+D9GQq/nuJKu/DsGY/1qhLjhMeNFPNT8gN3vbmovABecmzXut2OY6NRdOmC2FIsunReiDZFKp4NiQpBPIatdcU3rkHaroXwrDLej/vkZ9G/DN78qBrUD1n1a4g5Kbk7t4pF3xh9z9WP8q5chR0kKJ4OiQpBuHEaTTCEHoakeUPR9GjVqN1nPA9TXKwQzrRy/0AGHyfcohH7vpcwgtRvWAvDyaMwxjCB4QO48vNdFi686ZG2rohfgESFINzwuSG5mzdA0qqx6NEQpbAeCvf+4i7CklZMTPy8oR4+WHiBKfr1gqx7J8i6tBV5JX4b7fzZyNu9Q2xjcY8we75n+aARpQuJCkG4MT+Mh3bhHDHRUL9xHZxWz23k47NNxORHvvW1bROKr4cLe//cHVuQPXMqlAP7CGGRtm4KacfWIs+kGjnU1Y+yYY3orC+6fhXGuBiRJxGTIz3MyoZ4M0hUCMIN76fgFVFKfx9RveS02d1nPA9R/cXnqQzuK0qK+VYfHwNsz8sVERufkSKquJh46NYsFwLEO+n5KAAxt573o3h3hmrcCDG7/7F9C6+W4xGeEBg7+/woKV/mIFEhCA5b/Hg3uHJQP1H6yrd6PDl/8GxJ8YGXVn/ZDQZRxSXsW04dF7Y1vKmRe4HxaEbetyfkvbuJkctiG23EYOGXlrt9sxgnzN0JrEykPFmgiWchUSEIDhOQvF3bIOvRCTkzp4gktSdfZT8jKrz58TUmP/KBXsK+JTxMlCNr58+Camh/0UnPrVskLRuJz1EVMAjZs6ZAv24VDEdDxVYZ2el7PiQqBMHgQ6V0K5eK2eq65Ytc/RQezE866l/g/fWzMMHl4mLXaWGVSWBOThTRTMGxEOg2rEY2E2bVEH/IurZDVuPakLZpJgwsxThhqiDzaEhUCILBfam4LYukSV3kbt0Ee+7LvbA8gSc5lUF9UXDkMBylNCPFYbXAIuxb7qLw9Ank7dgiZrNks+fSrVkhZtmTqHg2JCoEwbDl5EAzbpSYH1Jw+BCcFov7jGfCh3Txai5p57bQLl0ktvtsapUYm1yqUy55RFNUJDzV+DhhnqOh5L1nQ6JClHn4UC5udMg7y6UtG7uS9B6+8JniYqDs0xPpFb5EVtP6UA7tz8RlAfIP7RMuxBaZBA4PF1bi3UCiQpR5ePkrL4flHeayTm1EbsDTMd2Pg7K/rxgnzGejyDq7Rgkr+vsIp2HNtAnQrVsp8i1Fly+4qrikTGg8cGAZUbqQqBBlHr49w6MTsaiyg1/Fezqi+XH8KNE1nz17GnI3r4du9TKoRg4RTY+ZjWuLccLCB22gn0i869ltDKdPwvggTvSj2HP1cBQWwmk2UZ6EeAKJClHm4WWuBUdDWKTiLWxJzI8eus94Lk931Oft3QlTYgIsaakouX0LRRfOIi9wF3RLF4pkPt8a46OEpZ1bQ9K+BeQ9uwhbF+2ieWIiZPHVy2L70E5RDMEgUSHKPDxBnbdnh+gY10wd7xok5eE8U1J8+MXzVGzaHOFmbDh9QkQp2dMnioFbwr6lfUsxSljRrzeLbgaLmf769S77Ft6/wrfLhNsxnyhJifkyBYkKUeaxSrLYgrgKSrZAahfNFYuhp/OT5seXjBN22mzCdoVb4XORsWSmo/hmhLCx0a9cBvWEMWILjTs7Z9WvKRofFT49RISjX7cahmOhorKMV345uX2Lh44SIH6ERIUo8/BtH+3ieeIqnHd/8+mFns4zonJo3+uNE2aBB8+nWFJTfrRv2bVdbIepx4+EarA/lCzqk/foIpof5T06QzNmOPJ2bhUuxxS5eDYkKkSZx5z0SGzfcFHhw6r4VbWn87j5UTnEXzQ/2ouL3GfeHIehQHTW86KH/F3bkDNruqgw407Hsg6txKwWblJJouLZkKgQZR6+wKrHj4KiP7tqP8iu2rU57jOeCx8nrJnA3rN/b+Tv2yOaP0sDbnfDy47teh2sCjnMKckovhGOQhbNFF25DIs0i0TFwyFRIco8PKmsGjYQigF9hFOxSC57ONzcUTnQDxl1q7Nowg+5Wzah6PJFIbClJTBP4zAZRem2mB5JeDQkKkSZx3j3tpihohjYB4UXzsJeaHCf8Vy4qPCenLTv/o6MOtUg9+oM9ZgRYkgZ9+sqOncaptgYMVfFplKKaY8kCMSrQKJClHl4slneuzuUg/qiOPyKmMfu6fDtL/WIIWJ0MncSUI8YCuWQ/pB2be+yr2/RQCTY1WOHPzuES6WA004VXMTLIVEhyjwlkRHsSr2TEJWSyBtwGj13Nv1jTAmu5kdenMDdgwvPnBTlv3xUME+o860xuXdndnSB3LeHqx9liL+4DxcZnnsS9i1xsbAqFHAYTe5HJso6n5So2J1AkdWBfLMDBRYHjDZK+BFvT0nEdcg6t3WJyt0ol+2Ih/OkpJg3P/KS4pxs0UPC3ZntBQUwZ6Si6Opl5O3dhZwFs11RTIeWyGxYy2Xf0rE1lEMHIGfuTORu2yxEyXg/Dha5TBQ68Mdwmsi+pSzyyYiKhSlKgt6CoNRCrHmQj80PDTiTVQJlEYXixNtRfP2q8LjiosIb9Tzd9p7ztKgU8I76F+SR+BAuPq+elwkb70Sh6OI55O3bA+0yt30LExre+Mi76/kQLh7tqUYMgW7xfOQf2Ms+13DRLOkwl6KVPvHR89GLCq8+VBfbcDitCKOv6dDihArfB8tRM0SJrmc1mHsnF1cURhhY5EIQbwK3FeETH/l8etOD+2Wi6/uJqLxm8yMfE8D7eIzRd2A4cQT6jWuh4dtlA/wg69Iesk6txZaZcDseMVic0z/Oydy+JSIiwrP56EVFa3RiZ6IBDY4o8Z+bMvErdvzr5kz8C/v671uy8NsdWehyToMbKroaIt4MU/gVSFs1gWboADgSPd/3i2N/9Ag5k8ZBxSKVouCDQF6e+8wrwneeLUx8S0xAQQEglcF2KwrG4CAUrFoO/YTRyGZRjLJ5Iyjq1ICmczvkL5wPe1yc6/6Ex/LRi8o1pQ1Nj6vwq/Xp+GwVO9ayY30GPlvHjjXsWJmGP++WsoglHxLPrwQl3gHO8GuQMVHRDR8KZErdP/VwUtKQO2Uisgf7wxIaAhSWUh7JwC7upEog9gEQFg4cCoZ12XJY580H9gQCqZ7vq1bW+ex01i2cyorEycyP6bjpPu5iyNUE/NtmJh6rs/DZxsxnjw3sWJeJX7OIpVZIFmbdfogT4v433I9DBx0vP06w3/tj7AjftxqPmtRETL9uuHA1iJ27Kc696D6f+iHesyQSly7sQ/Sw3ojt3R43NszF2fsXcFx5F6dUMTitjsVpDTv4V1U0Tinu4ZTsDk5Jo9hacQsnH382/Cs7+PpxSsLWEeltnJLfxWllNLsvexxNHE6y+xy9dxKh53eyYxeOsX+7/rZ/fE10fBzH0fRrOCOJYhfnGrc8vBmf1QkZhhqHh6Bq0MCP6BggjiqHxuEPuw6wyCSVHYqfiooQFgn7moV/3xyHz/dsZ/cbjGpBfk89Fh10/PT4nh2VDw9CudDBCJjRARF1vsOBzjXQcV1Pcb4KO8dv8/z9PvWDv6/vjg6B10ov7OpeEyGtKmPyiCZotL47vtvng8p7fPH9Xj98v68vvj/gj6oH+d8iu2/wIFRj60S1EH4MdX3l3wezvzd+jn89zA5+LnQYqh0NQPVjI9jX4ajKfl6VP9a+fuxr/5+8Jjo+juOrwF6oExKAECYub8NnPhfmw+vcbHQ6PQ0d2cG/fvDjzFR0YUebk/PxZeARl6ise4moMEH5bEMGfrUpBuX372fvYTq6n5344selgw73wX/X25+fidaX52LWAh/crlcBx7rXx+Adw8X5DudmouOZ6T+536d+8PfV+uo8jNg8BEHeDXCyeWUs8K2JLqNqot7Iymjo+zkaev8RjXz+isZDyqP5lHpovbwT2u3sjw5HJ6DT5fnoErHMdVxdhM7s+84X5qATe9xOL/q8+M/OzRK36XyBrTNn2e2evw0dH8XR7NhY9GBacF56xy0Pb8ZnMdmpuK1JRIQynh0P3F8/7HFTFY8o9QNclT/AuIhk/HYHE481TDx4LoVveT0WFP7v1Rn4543pqBeajhWxybjB7n9X83G8Dzo+8iM7Adf1Kbh3aAuSm9bGw/7eiIo4iQgF+/3RJCBC9fDF9/uUD/a+buSyv/nwo3gwrA/iu7ZE1MRBuLBmOk6umIDjk/vg6NBOOOLfGkcGtMGxEV1xYlIfnJobgDNrp+J84EpcOrULV8JDcPXuWVx7dA03JPdwU/MIkblpiMxLR6Q+FTe1ybiZnch+nsD+nh+Kv+mIx8eLXhcdH/wIV8ThFvtvpS7Wu+XhzfjM6rDDYrfCbLd8VIeFHUabBWckhWhzSoX/3uYWlfVuMeEH//fKdPxplwQL7umRUWCCid3P+hG+Hzo+wsPBfk+cNuRdOIOsFg2hGNofhQn3Ybaa2Xn+O+SJv0f8PdtheBAD5fhRkPXrhZztm2B4FI8iWRYM6cnIu3MT2uOhUG9aA/msScga5Ie0zi2R3KwuUlrUR7pXB0hGD4Fy1WLkhB4Qty9SSGEyG8Vjv/Bw2FwH/W1+tAdfO/l/H7vz7dozPvrqrxyjE0GpRfC+oMHvd0pYZJKOz5an4bMV7GAiU3GfDGNu6BCn9fyGNeLdYLp6BdKWjaEZ0h+OpET3Tz2bJyXFg/uiKDQYKHmuJD/fAGdKKqw3rsN4OBiF69cib+Y06AIGI6dPb+T49kRO397Q+vtCO3QQ8qZOgmHNKpQcPABLWBgcDxPYH68WoPaxMscn0VFfaHGI7vkh4VrUCFHg20AZvtsvR/MTKiyJzsMDrRlWB1m2EG/Gj82PfWGOvw/Y7O4znov5YfyT5seCoP1ikuNL4R3IfE6KoQCWtBQUX7mM/D07oZ03E6qBfcUALknTepA0qw951w5QBwxCzrxZyN++2eV2HBcDq1QCh07Hnpicjj2dT0JUOLxjPjHPggiVEWGyElyRG3En2wx5kQ02EhTiLSi+dhXS9o9tWqLhtFrdZzyXn3TU69mC/4pwF2du32JJTUZJ9F1hLJl/IBC6FUugmTweysH9IOveEZI2TSBt0xSyru2F2zH3ETMzUXJ1ThKeyicjKgTxrijmhpJd3IaSt7mhpOdfTQtRmTwOymH9UXAsRPh8vQ3c2saqVKDkzm2X2/H61W634z7CrFPRuxu0S+eLgWgkKp4NiQpR5nna+r745g04jJ5v+SPmqYwbCblfDzGX3yKTwGlhYvqWo375OGFuyOkwlsCenw9LRjqKr16G4UgwCi+cgTkz462fg/i4IVEhyjwltyPZlXR3cVVdJIZ0vd1V+6eAmPw4gI8Trsq++gphKWGCasnKYpFa6Ra9OJlI23VaYYlfFj7bsg6JClHmMd67LYZVKQcwUblwDg5DGRgnfD9WvOe0yt8gq2ldFrF4s8hllGs+ytZNMJw4iuIb10REY5VJYTcUuO9JED8PiQpR5jHFRUMVMBDK/n4iH2DPzXWf8Vx4TkU1aigkrZuKLTDlYH/Ie3ZlAlMPmQ1qimo4Pu0xe8ZkJjIbYDh7UtyHW9c7SkrEVpkYEUBbWcRzkKgQZR5z/ANoJoyCor8v8g8GwqZ9tdkinzJinPDEMZD38YZ2xWIYTh2H4fgR5G3bxKKVGUJw+HaggkUwcu9OkHXvIMRHPXYEdEsXIj9wN4quXII56RFFMcQzkKgQZR5zUiKyZ04Rg6Vyd2yBTaNyn/FcnpQUP578+JQw8J4VPqyMjwjO3bwe2VMnQNGnJ6Rtm0PSopHoS+FioxoTgJx5M5G7fTMMp0+gJCoS5kcPYZVJRLRXFkqziZ9CokKUeSzpadAuWSByDLq1K2GVy9xnPJefExUOFwRHYSFsOTmicdGcmCD6eUQ/ysolT6IcSZumyGxUC5KWjSDv2Q2a8aOhZ59hwdEQGKPvwqpRu8SFtsnKDCQqRJmHl9PqN6wVOQTtwrmw8rJXD+eJqLzmOGF7Qb7oqi+5eR0FRw4jdxOLZGZNhSpgEBR9e0Ph0wNyHy/IeTVdPx9oxo0Ugp2/fw+KIyNonHAZgESFKPPwmev5e3exRbEXNFPGw5Li+SOFhahMGgvFkH4oCDkkxOJNcRQaYGafWVHYJeTt3o7suTPEzHppuxaQNK6LrCZ1IfftwaLAFeJ5Cc+GRIUo89j1ehiOhrjyBAEDRRLb03kiKoP7ura/8l9zRv3zOJ1wFBXBlq2BJSMNpgdxKL52BfkH90G7dIFI/uu3b4aRe6vRVphHQ6JClHkchUUounSBXU17ia0bYxy3EvFsjPfjoBo2EJK2zcSCXxJxHTaR/yjdxkeHyQRLZgaMMffY5xorciwkKp4NiQpR5uG2ItyzSs4rnDq2RknUTfcZz4Uv8PK+vZFetTyknVqLfpT8vTuZuJ6H6dFD2FRKFsHpRLJeeKG9rRA4HK6DBMXj8WhRsbDFwsobtIgyi9Vqhe2XfgfYQmdOTYFqSH9IWjVG4cVz7hOeCy8ZVrL3m1nvB9HoKO3SVogLd2uW9+zi6kdZuRQFhw+h5Fak6Kp32qhEmPhlPE5UTCzcTkpKwoULF3Dx0iXI5HL3GaIs8jD+IY4eO4ar4eFQKZXun/4Umy4HmvGjRFK5IOiAx/dYmB7GC0NJ3tSoHjcCOQvnQDNlApR9e0HWmYlLpzaQ9+omrGvUowKQM2sqcjetFaXCxeFXRM7EKpfCUVTofkSCcOExomJhi4BWp8PlsDBMnjIF7dp3wIiRo3D33j33LYiySNChILRp2xZdu3bDxo0bkZCQgKKiItjtzw3iMpuQM3s6shrXQe6WDWLrx5N5UlI8wBd5e3fCKskUTY+WtFQmGpeRH7gL2sXzoRo+BLKu7ZDVqLYrqmnbTDgP8DLi3G2bUHj2tHgsa45GbJVxh2dXXwqNfCyreISoZGfn4NTpM5g+YyZbQNrhH198iT//9XP09vFFXNx9962IssihgwdRoUJF/O53/4fvq1aFr18frF69Bnfv3oH5ubkp+lVLxVaQdtkiYdnuyTxT/XUkGE4W4T+G55h40p43PPIEPjeX5F3zOfNnQT0mAIpBfUWJMB/EJe3cVkQ06tHDoBP9KHtRfDUM5tRk2CmKKZN8kqLCrzLz8vKQkpKKK1eviEWiC7sS/fNf/orPPvtMHP/LFpFWrdtgw4aNCAu7QkcZPaZNm4Zvvv0Ov/q3fxe/F//6q39DpUqVMXz4COzfv5+Jy13IlUqUFJcgb9c2yL27sKvwaaJayZN5Eqm8RvMjvw2vjOM+YfpNa132LX17QtquOSStmriGcfXzYQIT4CohZhGf4eRRFN+8Lsq0efKf2+ATns0nKSpG9ot57949LFq0GM2at8BfP/8bfvP//j/827//B/7lX38lFpD//K/f4Hf/93sRtXxXrhwdZfTgvxv//f/9Fv/x6/8Uvxv8+PV//hf+539/h3LlyrNo1gf7Q0IhyZKIfIFqiL/oAi8Mu+iqVvJQnojKoD7ID9r/yuOEhX0Li0D49qCNibE5JQnF18NRwPtRViyBevwoUZbNbVsyG9aEpEUDyLw7QzN9Egyhh2GVSNyPRHgqn6SoFBcXs6vQMPTvPwC/+c3/exKd8KtQLia/+X//LRaRxz+no2wfT/9ecEH57LN/enKOC8/SteuQlJSMoithyJ40FqpBfUWXOQuJ3b9xnocQFT5OeKi/2P6yF77dDBluIMm76vloZsOxEORu3Sg661XDB4utMj5VU7diKYsAo6ms2MP5JEWF74XHx8eLra0ePbxRqXIV/P4Pf8S//8ev8dk//TP++V/+Ff/FxOYvf/0cVatVR/36Degoo0f5ChVEVMKjWP678U///C9CXP7293+gbr36GDFyJI6dPg0lu+rmg6u0C2aL0cI8WS/mhXgoYpzwmOGQ9eoqBMAiySx1EeUmlbznhbsd88R/AYtUuCO0J0eAxCcqKg72S8mjFZVKhfv372Pf/v3oP2AAvvn2W7G9wa9Af/f7P6BDx07Yt2+/uA0dZfNYtGiR2OYSosJ+L7igcDGZOXMWzp2/gLS0NOj0enahYoFVIYN+w2pIWjVCDhMX3g3uqZiYgPLoIbN+DSgDBqEg+BDMiY9EBZjTUXqRBJ9ZzydpcrdjGidcNvgkReV5DOyXNiIiAmvWrhXVPTxy+ds/vkBvX1+xsBBll0OHDqJixUr4y1/+isaNm2DcuPHiIiQxMeknuzCOkmLhg5XVrJ5INvOF0FMx3Y+DYkAfZFSvyN5vA2Fbrx4xBDkzp0C/frX4HHg/Cq8As+l0tGNFvDIeISqP4Qn86OgYLF+xUojLxEmT2Pee7+NEvJzQ0FCxRTpo0GAEBQVDLpeLSPdl8JkhvKuc27ab4h947FYNf28qJiKSFg0h7dYBMq9O4n3z5k8+iEt01Y8ZDu2S+cgTUx4vw5gQD4tM6hopzC7keOkxQTyPR4kKx26zQ6FQiFLR27dvQ6PRuM8QZZG0tHSEh19jEesDUYb+S/DFVuHbQ8xrL7pwzmM7xkWinldq+XpBu3IJCi+cFcKRv3sHtAvniW57ZX9fyLq0c9m4cPsWn+6iuku/ZoVwdTbeu+MawkU5EuIpPE5UnsdJcXuZ5nX/+3NHXc3E0UJU8nZtF70VnsiT5kc+T+VYCBzuRlDeR8IbP4tvXBN2NTpeJszn9/ftLSxdZCyqEQO4+vtBNXIocuZMh37TehSEBoumR14AYFMq4DRRP0pZxeNF5ePEAYfdDttrXeCxxdFugcXMDrv4jngH2NQq6NetEhMMtXNnwJyc5D7jWTzTpxJ84Nl5KkyIeeUb77LniXWeUzElPULR5YtiCBefS8+T/NIOrYStTVajOsLdWTnEX3Td5+3chqKL52BOSBCd+XYWIfLHobHCZQMSlfeNvQDFqiSkxD9AbIIUUr0Fr2RdaNEhLyMOD+7dx/1MPXSe20LxQbHn58NwPFRMgVQO7IOSu1HuM57FE1F5jY56R0kJrCoFE4uHLvuWU8eRt2MrtAvmCFdj5aB+kPfqClmnNpAxkeHCLPIySxegICRImFA6npuFT3geJCrvC7MOhvRruBm6CRsWTMG0caMwfNQ0TF22D3suJSBBU4IXFrCa9SiS3EHMlVM4djhUJJ4PHz6Jk2ExiFMWIZe2s0sVPjvEGBsN1bABkLRvgcJzp91nPItntr/Ygv+m44SdDhZxq1Qw3r0Nw7FQ6NeucIlVH2/IOreBpF0LSNlXPlGTG1DysmWKVjwbEpV3DvsDctphzAxD5NbhGOfdCo3rN0GTBrVQq9LX+OqbWvi+3TRMCryHmHwnzM/8vVlQmHQW1zaMxbTJCzBlyxmcuHQaR9fPwPyxkzF73y2clzpeLdIhXg224Nmys8XQKl4Jxbd7uPOupyFEZcJo4VKcfzDwlSKVn4NXgvFxwrzPhc/8NycnihxLXuAu5MybJQRMt3IJjHdY5EeJfY+GROWdwxakogd4eH4L1kydjukzVmD1ll3YtXMTts3pDf/GX+KLP1dBuW7LMO+SBllP3DKYVOhvIWrnZIzp2gt+U3ZgW7QE6YospF1djT0Te6FbnwWYuOcBEkucJCyliNNqg37DWkiaN4R24RxYJFkeV+HEt6JUwweJaCxn0VwY42JKfYaM08aimGyNELCSyAgmKLdgVciFcBOeC4nKu8bOVEJ1ATdP7sfq3VEIe1SIJ+mQ/DuI2TkAg2r+GX8s3x3NF9xGhMx91qZD0Y0FWD2gDX5oNBnj9t1HlusMUHITCYdGwa9BO7TuuwG7HpVAQwMuSxVeMssrwHgTZFH4lVJfcD80oqN+gB8yalaBzKsjcubMEKaQRWEXxfYft663qpRwFBqYBlBkQbw6JCrvGmsJnPIHyEp4gChJEVTP9ItZkRezBzv9KqL6981RY/xFXEhzZVYchkeIXduDRTI18F3XdVh2WfVUNCKB4sZCzGhWFQ0aDsOwIBli9e5TvwjfjnOKi8XSul70xOtOfmUt+jj8vMUQK0/bAuOlv8oh/ZBRu6oYwMWruCRN60HatjkU/j7InjkVudu3iP4VXvllL8ijfhTilSBRedfY7XAWFMBUXIIi9u3zAUVx+gWcGVMT7Zq2Q+PZtxCWxaXDDIvmLIKH10PT8jVReXAQdt59umomHzkPtmJT90qo+317NJ97Cxczfqm72QKjOhGPws/i8pmTOBYSguDgEzgenoR4jZWdZdLAoiN95j08iLyAU5fvISxGCo30ISR3juHIri3YuHkf9l9KQGyOHTanERbFHdw9uQe71q3Dht0nEBKZhbRczyhLs2RlQr92pWj6y549TVSFeRJ8S4oP1uJjg1WjholS4OyZU6Ac3FcIKXcWFodfD/azfsiePlGUWnOPMO46wEuteakwQTwPicoHxQpdXBD29G8I7x7DMeywEvdFxKFDUfo2rPP+HtX/0Ri1x57Fofina8NMyE08gL39qqFOhYaoPpwt+vEvL9V0WPNRLL2FOydYVMQEYP36NVixYCKmD/WD74BZmLwzEjfkBdDnpSHp3Gpsm9Ib3ftORr/5oTh1IghXA2dhWv+u6Ni0Fdr6z8Hk/VG4ERuNh5e3Y/ucIRjcqRlat/FGxxFbse5iBqRm50/E81PDUVgEw8ljkLRpCsUAP5gz0jwqF+Cq/uIlxa55KnwcMJ/UaIqPQ+GpE9BvWgfNlPGQ+/QQs1F4NCNpzT4LX29oxo2CdulCkYQvunJJuBBwERY9KYYCsm8p45CofFBSkXpxFaZ39cXgsdtwMN2KHLEay5B3fxkWti+HCv9oiUZTr+Jo0tMRgBX5ySE4MKgG6nxbAxX67sW+GN1LtqHMKEi/iivLJ2DRzKVYdDIe4YmpSL5/BNfW+KBnnar4vt1kTDiRhiipBA9C52KpVyVUrVwXVbwXYu7GUIRdOY8TB5kQDWqO9nVroUq7URgwYwN2BYci+Hgojm6dhLm+TVG/eid0mBiEYImNyeInjsMJY/x9yHp1g7RLWxRdPg9HMY81PYMnJcUsCik4cliYaXJ40yOPyqxKuYhGSqLvovD8GeTt3ArtonliS5Bvj0k6tkZW8wYuofHxgmbyWGFEyYWY52Rs2rerJiM+XUhUPhg2lKQE4eKaURg8fB0WBj1CFhMU1xV+JnR3F2JO629Q7os2aDYrAidSxQk3NiYqR4So1P66Osr57MDuuzkvEBX2k6IEJB1fiMkde6DP+O0IlPHNM04OLPG7sW2sH/oNWYBFF+WI0xoguboZW3uXQ42K1VCxzwasOhaP9GwDcrVJyDwQgMnNvsOfvu6IpqO3Yt+9NCRr81GYfQmRG3qjx3cVUb39PMyNMor38qnDS2M1U8aJLaLcTWthZaLrKQhReY3mR24gaUlNQfH1qyKy0a1a6ipJ7tcLcu/OoulR4ect/MJUAYOQPWMK9BvXimFn3FOMz1Xh0yU9eUYN4YJE5UPgtMFRkIIH+xdh04ypmBsUjfNSJ35Mg0qgi1uK+e2+Q4UvWqMpE5XjqU9LhgV5ScHY2/8H1Py6Jir0YZFK9ItiA/YHnBmEsMW+aNk4AD6LL+OeBe7qMzucRjVkD6IRdy8RaXl2GJ1OFCScwLGRNdC0YWs0mHYJF9NKXK/LkQtELsJm38Yo//1A+G6NwD270/1Yj5B+dhLG1qqCBi2mYcqlYqSUiBOfNLwhkPt/8fG4vGPceNtzuuufRCpumxZb7itWejjY743VKppE7Xo9TIkJKLx4Tsz3z5kzU3iCSdo2Q2aDmqLPR9atPZRD+0O7fBEKL5wTNjiEZ0Oi8iHIz4DmxnbsWbkCC7ZdRlh60XO2K2rkJW/Equ6VUf3L5mg09QpCk56+wmO3T9iLbT7f44dvG6JawBEcjX/BOFinGY6Y9QgZ0xLV6gTAe8UNPHw+nLE7mMb9KGe82fLUuNpo0bQDmsy+jhvyxy+sAIheiV0DWqFS9WHw33MPD91ngDRkXZmByfWqoHHzKZh0vhhJHjCLiecGeBUYv/LmtiO8zNhT+HH7q6+YnWLPYxcNbwh3cub9J2YWjZTcvIHC0yeQu2MLcrh9y7gRUPTtySKa3qIJsiQqkt2Bqsg8GRKV902hDOo7R3F651qsO3gVJxNNMDwjKJwiFMuOYf/g2mhaoR5qjDqBwLinL/110MRuwKqO5VG9Ygc0m3cLlzNdLrPP4LTAcXcdDg+rhyqVu6LFzLMIY4v9s0/HVMZRgjxdMUqMTDoST+PkWCYqTdqh0YwruJLpLhCwsyvZ28uw3b8lKlYbgr47biGW/di1PCQj/dI0TKzLRKXFVEy+4CGiwiI33rzHGyCz6teEftUyOAoL+Qn3LT5dnowT7tlV2KfwnpTSxGmzitkrJbduiu213E3rRGm28UGcR3x+xMshUXmfmPXIjz2CSwc2Y83+CJxLKEDxk78vO/tDtMDKogYb+6Oz6mMRuawL/BrWQkWfbVgTnvPU9lgGpNfmYkrjKqhTPwBDDskRq3/RHyqTj5QDuDi1Cep9VRXlvFZg6Z1CSC1OV/7FaYLdmIKslFhcv6OEjF2sFqWcw9kJddCyaXs0nhmO8Cy3WDnygLvLsbN/K1SsPhT9dkWBz9R0PWsqMsOmYxKLVJq05NtfRo/Y/hKwq2q+KEpaNRGNkDwJ7QmNkHzyo3JIf2Q2rsvEZYSo+LJKsoRbsXAUNpvePv/Bfo/5Z8UfjxtJikZKt8U+4bmQqLwvjHLk3j+OU3u3YP2uMzjOF3ERolhhNeZDn3IPSZHhiEzKRipbkJ3mbOivzsASvxao1ngGJh1KhNr1SOyxbuLRwQB4122L5n02YU+iETkvXOfYkm+4jQd7BsKv0l/xx8+boPH4g9h+PQVp2WooUqIQdXgd9mzdjZ0R2eB9l+aMi7g0sQ5aNeuIJrNvIEL2eGFhV+gxq7BnYBtUqh6AAXvuPrX9lc5EbhamNPgezVrNxPQrVqR70NpRfPO6y4G3dzfk79/rEYO7hKgM8EN61fLIbFBLOAvz73kZsX7dShQcPSy2qqws2qASYeJ1IFF519hNMOckIenUEmwY2RZt2vZEa//5mL9qA7Zt34yNG9Zi7eolmDt+EmZMX42t4Rl4wLeOnGxV1oYJM8nB7frCf/YBHEqSIlOWifSr67F/Rj9077sIE/dEI9n0OGH+InTQPjyE/WPaoPV3X+DLii3QzHc8JixajsWL5mP2+JlYtOEoTqQboDJpIbuyHpu9vkCFr6qjnH8g9kSqkFtUhGJdIlRHR2Nmiwr4w5/bo8WsUJxS50FfVACDNhw3dvih9zd/wFcVfeGzLRlX5SaUvPxFfVJw7y/9+lWQdmqN7MnjXP5Vnzh8+0sVMIBFKnwWSkvIuraDtH1LSNo2haxHJzEvhVeHaZcsQP6enSi6cBYld6JgTkoUQ7jENiBBvAASlXeNWQd91GbsHdsEzcv/Gb//3V/xpy8qoFzFSqhcqRLKf/c1vvv2W3xeoQOaDNqO/bEa5D3e53IWIffBUZxbOgxjx8zCuLXBOBSyF7sWTcLU0TMw9+BtXFGYn7JveREOpmsqaKP34+Ds3vBm0cT35Srgu+8boWHXkRi6/ASOPdBBYyqBUXsHN3eOwYTmX+Krv1bCd53mYeahe4iXyKCMP42rq3zgX+tLfP55A9Tuvwprrz1CvCwVGfcCsXcKE8xv/4y/fMvEa8oR7Lmtg9pDnE0cJhOKr1yGnE899OokFtdPHZGo5xMd+/SEfsMqFF2/iuJrV5C3extyFswWZpOy7h2R1bQeshrWgrRtM9GfkjN7OvJ2bhEVX7zyi3fVi20yO7uCoFwJwSBRedfYClGUfgU3Qzdg/bKlWDh/oYgQ5s2di9lz5mLO7JmYPXsuZiwLxOaTCUjSPTdVhQlC/qOLuHI8GHv3H0Ho0VAEHzqCI2dvI0ZZzGuyXg17NrTJ4bgSvBXbVi3F4iVrsW7vGZyK00AhdjfYwmDIQHrUSZwJZBHU2q3YcugyLsRIINfpkSePR+L1UBzZsYFFV7ux8+h13EhWQq7XICfrHu6c3Y/9W9Zj7eb92HcuBnczC5H/6acensB7VFQjhkDSqrFIONu0Oe4znyZCVCaPhXJYfzGUzO5u7LRlq0UUw6c8FhzaL+bRZ0+dCNWQ/pD37eWa39+7G+S9uony4exJY8Vt8oMOuO1bkt94NgvhGZCofCqY2MKuTENqqhSSnGJuqE+8R3iyWb91g+i7UI8djpKom+4znybPND8G7X95n4qDRbpaLUyxMaJbXr9hjShFlvf2grRVE9GLwv3RFH16uexbFs9n0c4OFF46J+z0LWkpsCqVQmh4RRjh+ZCofEo4LDCbbe6ue+J94rTbUXIrAqpRQyFt1wL5gbvcZz5NnhEV3lGv/3ljHV7FxYWBlx5b0lOZYMSi6NIF5O3ZCe2S+cK+RcmEhQsM3zLjfmHCvoVHMty+5cxJ0ZHvLPGUskDiZZCoEMSr4HTCzhZebj2S1aAWsqdNEAus0/72jXwFBQbk5xewoOD9NQU+aX7k44QPH4TtDZsfudCIKY/hV1zbZauXi201RX9fsUXGD94Lw7vqucsxHw5GuRfPhkSFIF4D7sor694Bcp/uonOcj9B9U6zs6l8ikeDSpUuIirrNotD3V4f9OFEv9++N/AN7X92m5WVwoeBjHnhEwwRK2LdcOIvc7ZuhmTpBzKjPmTMdJTeuiS01wnMhUSGI18CcnoqcuTMh7dAC2bOmwiqTuc+8PhkZGdi+YwdGjR6NnTt3obDw/bkgi476kUMg7dhKzI63pD3jWFoq2AsNLrfjRw9hjL4rohTuUECRimdDokIQrwHvCueVUdyZV9alrah4etMO+xMnT6Jzl65o17499u4NRHHx+8s38AVeObAP0mtUhqxre+TMnIL83dthOHEMxRHXYU58JATAaaXGR+L1IFEhiNfEyhZb3nnOE9J8OqRV/vrRSlFRIebOm4cKFSshIGA44uLuw2Z7f92iXFQUA/sivVp510jh+j9A0ryB6MXhpdO86TFv3x4UXbsCc2qKKKG2FxTAUVLyxiJKlA1IVAjiNeGVYPkHAkVuReHfW3Sbvw5GoxE3btxAt+7d8X3Vati5cycTmffrwCk66kcHiAFk6vEjoVu2ENpFc4W/maK/H2TeXSDt2JpFY+2EwzCfEqlbswKGI4dhvH1LuArQbBTiRZCoEMQbYEpKRM68mchqVh/ahXOFEeOrolQqMHPmLNSuXQf9/PsjNpb7Pb9fXM2P46AcNgD5IYeESFg1KlE2zeer8Pkn6jEBkPfqDmmHVqJUWN6jM1TcvmX8KDEFks+aMZw5Je5jepQAK7dveYvCBcIzIFEhiDeAN/JxZ1/es8InHhbfCBdbQ69CREQEWrZqjfoNGmJvYCB0+resvHoDnpQUi3kqh57MU3FazMLXi5dPc5EwJTxE0cXzyNu5Ddr5s6EeNpBFN+1E02MW9w3jjY8D+yB77gwxcpj3rvB8DB/g5TSZRE6GR3ZE2YFEhSDeEHNKshipyycd5iyaC8srjBtWKpVYvXoNKlasBL8+fZGeng77B1h0f9L8+DMlxU6zBTaVCqb4B8IDLZ+JkG7DGmTPnArViMFQ+PtC7uvFIplOLjNK9j1/bN3KpaJ3peh6OMwZaU/m4BOeDYkKQbwhvPGv8NRxyHp2ES6/vC/jl2ziz5w5i+5eXmjAopSNmzbB9oHyEk8ilcfjhH+ho/55ePRh02hEqbDhaCj0a1dAM36kaHbk5pOSFg1FTkbRz0fY2mhXLEbh2VOwcYdnKin2aEhUCOJNcThEHiJ79lSxFZQzf46wInkZxcXFmDNnLqp8/z2GBQTgXnS0+8z755lI5ee8v34BLqJcXPnseUtmBoz341B46bzLvmXxPJGX4QUNvB+G/5tHOtT86NmQqBDEW2Jg0Yq8Z1dxZc670190Jc4jkrt376Fjx86oUKmSyKUUfsCZJD+OE+4i5sm/bqTyS9iZSJmTHqH46mXk79st7G14iTLfQqNIxbMhUSGIt4QP8crdsgHSDi2hGjlEmC3yGSxPk5qaJqKUhg0bY9DgIXj48Me5mR8C3qfC8yGSts2RPWsaisLDYElJhjkhnkUx8TAnJ4nxwrwB0mEwvFVvCp/1//RBeDYkKgTxlvAFlzcIctt3bo3PS3WNMffcZ1kkwyKSPXv2ok7devDy6oFr167D9JzovG9EpDJqKCRtmkLBxwhPHA318CGQe3WGrHNbKPr2RPbUCcjduE54nHERsueWbjRDeCYkKgRRGrArcHH1zxZqnl/RrV0B6HSw22y4dfcuBgwcKHIpS5YsgeUjmPnOcyrqcSMh69FRuAPwxkbee8KbH+U+PSDz6iSS7rzxUTW0P9QTRoscSd7u7SjkvSlRkcKdmOdSHEaa7kP8CIkKQZQSTrtNTIXkdicKXy/g5g2YCw1Yt30H6tavL6q+zp8/7771h+VJon6AL/L273E1LpaUiNyKKSEehefOIHfbJmimTYDcuysy69VAesWvkFGtPCQtGomqrpw5M5AXuAvFkRHCqkZYuFBPSpmHRIUgShE+513euzskTerCxq7qC9hiO27WbHxbrjzGjR+PhIQE9y0/LE9EhTc/hgb9pIeEN0CaM9JRdPkC9GtXQR0wCJLWTZBe5Vuk/uOP4sj4oZKo7MqeMRn5gbtRwkTUIpORfUsZh0SFIEoRa1Ym8vfsRHa/3sgYNQwn1q5B91690KptOxwKDoZW93HkJZ4pKebNjzqt+8yz2A0Fwha/JOIGE59gYaCZPXW8mI+iGjlUCIp22SIxZpjbthSEBKPw7GmxRWY4ForCE0dRdOEcjHdvw8I+G4d7Fj7huZCoEEQpwrfAHFotzCxKOdOxLXpWqogGtWph3oKFkMrl73W648/xqqIicNhFP4rDWCIqwXi5MHctFs7F7OD9Kdz/S4jOGt4EOZpFMB2R1aAmMmt/L3JMfBKkfssGmJMS3Q9KeCokKgTxLrh3B3t9eqHKf/83GtasieBDhz54xdfTCFF53FHPmx/fsk+F2+JzceHzZfRbN4pGR+6LllG1HFL+/FukfvM55L49RNTCixoIz4VEhSBKG6cDuQkPsWTECHz3+9+jZ5XKiNqxDdYP2Oz4PEJUJowWifr84IOl5svlNJthkctQcidKbH/p16+CZuxwKAf1RfbsaSi5eZ066j0cEhWCKGV4yfDVsDD4+vVB1c//ijl/+zMUE8fCmZ7mvsWHx/SA96kME4l23u1ulUlZuGEvlQXfyR6Di4ujyO12rJDBwt47j2Tsea8+IoD4NCFRIYhSJj8/H3MXLUbtFi3h274djtb5ATntmqN4xxYxs/1jwBQXB2V/X2RUrwBZx1bInjIeuZvWsejiCIxRt4RLAM+hEMTrQqJCEKUI9/iKjolB+46dUKtxE+zevBmpK5dC1a09VD06If9g4EdhAW+6z0TF3wfplb9FZs3KyGpUR0x5VA3sywRmAnSrlotcSzG3rU94KCq3bNnZIvqAnbaviJdDokIQpYhMJsO69RtQ/Yca8Pb1Q2JiIixqFfLWroCkWT0RHfCF+lUHer0ruLGjMJTs3lFUgemWLRI2M+qRwyDr2RWS1o3Z660vku3K/n7Inj1dDOoSQ7iSEmE3GNyPRBDPQqJCEKXI5cth6Nqtu5jquHbdehS7K764SaOaLd5ZTFjUY0fAGBMNfMAiKP56uD2LGCd8YC9MiQliYqOY8sht65cwgWGvU9GnJ+TeXURDJ59wyQdwqUcMEd30uVs3ouBYiGh6NKcmP5keSZRtSFQIopTgJcPLl69ApcpVMGjQYERHR8PuTnxz1+LiyBtQDu6LrKb12KK9QDQVfiie9Kk8X1LMnYTtdjjMJuFQXBIbjYLjodCvWyVuL+/tBWnLRshsUBOSVo1FmTA3o9StXIL8g/tQfC3c5XCskMOu04rtsrdxOCY+PUhUCKIUMJvNuH37Nnr7+qLK91WxecsWlDy3xeUoLkZByCHhpSVt0wz69WtEA+GH4JnmRyYq9vwXV2VxyxXe7Mht8HnFWEnEdRiOH4F+8zpkz5kG1ahhwtGYOxtzGxdp+5bs+14uh+PN61F4+iRM92NdzZXUn1ImIFEhiFJAq9Vi4aJFqF23Lnx8fBHFBOZF2DRq5O3ZJUbu8gU4b9+uDyIsP4lUfq6j/gXYCw3CpbjoyiVhKinyMaOGQt6rO6Sd24gRAAq/Hiwy6wf16GHiPBcjiySTxMXDIVEhiLeED566dy8aHTp2RO06dbBjx05oNBr32Z/CTRd1q5dD0rKRWHzzDx+Co+j9emI9IyrBB8VI4NeG96M8tm9hIsMF0/zgAQrPnBRDy7JnToHC30e4NvODRzXF4WHU/OjhkKgQxFuiUquxefMWse3Vw9sbiUlJorT4pbALdXNmOnIWzEZWk7qQ9+yCgmOhYnvsffGko54t+vnBB0q1Go0LDG+m5NtexVfDUBB0AHk7tqIgJMjl/UWi4tGQqBDEW3Lp8mX06t1bTHZcuWo1TGaz+8zPwxf2nLkzhOEir64ynDrx0txGaSMGig0dIMqG1eNHCUsV473bsKSmwJaTLTriSxUe1ZhMIrKh7S/PhkSFIN4CXvG1eMkSVK1WHQMGDERk5C2xHfYq8CS46VE8sqdPYsJSW5TsFp46zhb0d288aYqLEc+X9t3fkVGriki08/n6uqWLUHBwn/DoEl31hYVMCMyuGSkUYRCvAIkKQbwhvOIrNjYWPbx7olLlyti2bTsKCgrcZ18Np9PBooZYaKaOR1ajWlD4eMFw4qhIhL9LeCUXHxOc1ag2ZF3bi0mOyoF9oOjt5R4l3FVEMjmzpkG/aT17TUfETBTu4+W0fvhxyMTHC4kKQbwharUay5cvR9169UUu5e7du+4zr48xNhqaaROR1cS1FVZwNET0ebwrRPMjt77nc07WrhRbb4bQYBapLIRq+GDIurcXfSiSVk1E171yiL8oE9atWoYCbt8SfkVYvXCjSN7P8r4LDYiPFxIVgnhDeF9Kp86dUb9+A2zctAkaTbb7zOvDcw08x5I9a6ored+jM/L3B8Ke+2661EWinovK4L7Cj4zPmOf5HD6rXkx6vHdHCA3vms+eM0NMepR17QBJ8/rCbkbasZWws8+ZN1N04PPSYnNaikjSv+r2H+GZkKgQxBug0+tEg2OFipXRq1dvJCQ8Epb3bwtPoHMLlKzmDSHr1Aa52zYLM8fS5klJMW9+PHzwhV5ePI9iVatYFBWDwnNnxLhgYd8yboSoGpP7dIfc1wsKnx6i4ZHnZHjhAS8nNrBIqyQyQkQy73orj/i4IFEhiDfgavhV+PXpixo1a2HlylVMUErPisSckgzt8sVi+4kbOurWrIA5MaFUE/jPiMrTNi0/B4tAHEw4rSoli2Ruo+DIYfHauDGl3LszJC0aiihL2q65EBnN5HHQrVzqcju+eU2UUfNIhvBsSFQI4jXhFV9LlixlglIT/fr54/r1G+4zpYTdwaKTLORu3QRZt46QNGsgzB9LbkeKRb00eCIqbzhOmG/XCfsWqQSmhHiU3LoJw4ljLErZiJx5M0SjI/cF46IoYULDmzz5VpnxThS7M1WReTIkKgTxGlisVsQ/fIjuXl6oVOV70T2v0+ndZ0sXq1qN/P17RekvdzdWDR/IooMQ0bn+tjzOqfAEPN+q4gaSpQF3KuZRVdHlC8jbuxPaxfOgGjYQykH9oF04l0SlDECiQhCvgVKlwvoNG1C3bj1hcc9Lit8l9oICFIVdElf+vDJM1qOzyG3wHhLRSPiGiHHCYwJEQUDu+tXCx8ueny8660VPytvgdIrHECOFS4pF8p/b6nP3YruejCU9HRIVgngNIm/dQrfuXqLia9WqNcJI8l3jKC5CCbvC1y6aK/IV3DMse+ZUYaX/prbyxrhYkffgkx/5Y2omjxWVXoXnToliAbv+HURfpTQDn/i4IVEhiFekoMCATZs2oVLFyvDz64MHDx6IBsj3hSUzQyz88u4dIWneUGwrcV8tc2rKa0cXxvtxooIrvdI3yKz/A6QdW0PRrxd7zAEi18L7VfL27UbR+TMouX0L5pQkl30LNT4SvwCJCkG8AtwgMiLiJvz9+6NateosSln986aR7wKnE/aCPBRdOAfN2BHIalIP0vYtWAQzD8Y7t12GlK8YCfCcinrcSNc44UljoF22UJQD83HH0tZNmdDUEJVcsu4doOLW9ew872cpjrgGS1bGj1tlTFT5UC+CeAyJCkG8AsVswV66bBnq1HHNS7l27Zr7zPuHiwe3TNGvXg55r26QtGoERZ9eIooxxd+H8xWEhVds8ZJfxaC+yN21VXT0c1dhPoO+4NB+Yc3PK85UAYOg6O8DGXseWZd2ru76AX7InjYR+o1rXUaUwr5FTuJCCEhUCOIX4BFJQkICunf3ElHKtm3bhEXLh4bbuPDBV3wIVlbLRpB2as0W+0nsZ0dhTkv9WSv9Z0qKgw/8ZJ4Krwbj223FN66JCIU3PQr7Ft5Vz5+rdRPIe3SBaoi/EB/disWuccJhl2CMuSe663mV2vu08yc+DkhUCOIXUKlUQkhq1aqDzp27IC4uDg7Hx3FVzl2ETUmJonyXRxBZTeuKLTG+lcWtU0T/yQuqrUSk8rj5kYvKiyz3ebOj0Qh7Xh5sapXo7OeCYTh1HHm8H2XOTJHX4REM3yrj5pTSDi3FtMec+bPYa9rFXsNlmNPTXE2PdhZBUeWXx0OiQhC/QEREBHr27IU6deqJpsc8tsh+bPBxwHzriveFcOsUafvmwmk4Z/Y04XpsyUjjs8GewEuIhfcXF5VD+15rnDC3wrcpFTDFxaLwwjnkB+4WkYpmwiiX03EfbyjYa+DGmNzKhf+MW88UHD4ES3oqCYuHQ6JCED+D0WjCunUbUKXK9+jTpy+iom6XisfXu8Km16OQiUv29IliBr6kaT22yPeEdulCJgBnYWbiwk0qecQhmh+H+qMgNBh2FvG8FTaXT1jJ3SjxeDzfox47AvIenYSlP0/+a6ZNQEnUTRIVD4dEhSBeAhcPPnueV3xVrlwFq9esQUkpjt19V3Abeu40XHj+LHRLFrCooQeymLhI2rUQQsIjBp7/UI0YAuWQ/q4Z9aU0cZJXg3HR4q7HvNmRJ/F53id/7y4YTh6jSKUMQKJCEC8hPz8fK1asRD0+L6WHN65dv+4+8+nAXYINRw4LS325n7coEeYiI/fqKHIgWY3qiAqv/EP7RYOlJSMdjhc4Fr8tvBCA53fELHwSFY+GRIUgXoDD4UB8fDy6deuGmjVrYdOmzVAoFO6znxh2uzB/LI6KhH7jGuHDJWneABnVKyK9yrdCXBR+PUXlmH7tKhhCgoVBJBcknqDnkQev4npr+xaiTECiQhAvIDs7G7t27Ub16tXRpUsXITDWN7RE+VjgCXarTArj3TvIOxgIzdQJYgYKb4LkW2HctoXPcOH5D1nHNlAO6IMcFuHk7diCogtnYUpIEE2PBPFzkKgQxAu4EREh5qXUql0HixcvRpGHjct1mEzCqqX4VoSwYeFVXHm7d0C7YA7UwwdD7t0Fss5tIfPqyMSmp5hnrxk/GtolC8Skx8IzJ1HCIh8++4VXjlEUQzyGRIUgnsNut2PtunWoVv0HISw8l/LeLVneA7wDXrgJ84M7ChcXw8EiEatSDmPMXdEtr9+wBpop44T9vqRlY2Q2qImsZvXFUC4e4fAhXAXBB1ESeUP0sfCeFkdRIZxMtEhoyiYkKgTxFLzii3fP9+3XDxUqVsK6DRtEwr4swivCeFe9Mfqu6IHJDzoA3doV0EybCNXwQa6Rwjyi6dQGsm4dhG9Y9vRJyN20HoaTx0XZslWjcj8aUVYgUSGIp9Dr9Vi/fj0aNGiIzl26IuLmTfcZgmM3lohGyuJrV5C/bw+0i+eK6jG5VydI2zQV3fzyXt2hHDpARDja5QuRH7hLDO3iXfw86U94NiQqBPEU9+/fh1cPb9SuUxerV6/5dCu+3iUOB5wmo6tMOCcbFj5SODYGhadPinHC2XOmCasW7kXGGx8z61UXpczaZQtgvB9LJcUeDokKUeZwvmRRy2VX0bv37EXlKlXRpVs3xDGB+Zi75z82HEaTaHrkjseFF88h/8BekXPRjBsB9aih0K9bKZyQSVQ8GxIVokzB+094joSbROp4M95TxpB8XsqAgYNQ/YcaWLhoEYxGo/sM8abwyZRWmUQk/rmg2DQaEhUPh0SFKFPwXpOkpCQcPnwY+w8cQHJysvsMsGbNWrHt5ePrh8thYe6fEqUB75GhirCyAYkKUabgohIbG4sZ02egQ8dOmD17Dm7ejERMTIxrqmP1H7B9x46P0omYID4FSFSIMgXvQbl//wFGjBiJP/7pz/j6m2/Rf8BAjB8/Hg0bNUKr1m1+4vFFuzUE8eqQqBBlChsTFR6VBAwfjv/vt/+Df/qnf8af/vwXfPnlV/jyq6/QpWtXHDl6FHK5DDqdDgaDASa+bUPKQhCvBIkKUaawWa24c+eOEJX/+/0f8Nlnn7Hjn/AZE5ff/s//omatWvDx9cWoUaMwZ85cHD16DBKpVCT4CYL4ZUhUiDKF1WJBZGQkBg8e8kRU/v0/fi2OX//nf+E//+s34vjN//tvJjC1sXjJUiQmJZGoEMQrQqJClCksZjOuXbsO//4D8Lv/+72IUh6LCRcWV+TymZj0uGDBAjHpMTcvl7a/COIVIVEhyhRmJiphYVeEUeRjUfmPX/8nfvVv/y62wH73u/9D6zZthe29Wq1234sgiFeFRIUoU/Ck+4WLF9Hbxwf/ywSEiwoXFB6l/P4Pf4SXlxdOnDgpEvQEQbw+JCpEmYJ3yZ85exbe3j1FYp5vdf3Lv/5KVH/x5P2VK1dIUAjiLSBRIcoUXFROnjyFDh06iujkX3/1K9HwOGnSJFEVRhDE20GiQpQpSkpKEBp6BC1atsL//O/vhKCsWLkSKSkpZB5JEKUAiQpRpuBbW7t27xYuxN26d8eadeuQnpHhPksQxNtCokKUKQoLC3Hs+HERnRw/cQIqqvAiiFKFRIUoU3BDSalMhrS0tDI7Jpgg3iUkKgRBEESpQaLywXAK64+fun84Rff2j4f7xx817HXaLbAYTTCZrbCx1/xKL9tuhtVkhMlih+WTdUGxw2Zm79tohsXG/nu6f0oQZRUSlQ+CA05HCUoMucjV6ZGbb0BBUSEKDfnIz9VDr9MJh1zXkQt9Hvt5Ebs9W3wdH6PKmLKRnXQXt85fR2RcJuRMVX6+joq9B7MO2sQI3LsWhmsPNUjN55/KJ4bTCLM2CQkR13H1cgweqvJRwH/sOksQZRISlQ+CHU4rExNFAu6Hn8SpwE3YsnY9NmzdjwPHTuH05Us4f/EiLl44j/MnDiF0/zas23YEhy8mIddgdj/GR4CTRSd5mZDc3It988YhoM8MzN51DVEmJ0rcN/kpFtgKMiC7FYQDcwdjfMB4TNl3HxflwKc0E9BpZkKfdg2RBxdg9pBRGDpuO/bFKKDk51w3IYgyCYnKB4FdkzNRyZNH4+aBhVjo/QPqfvEVvqnVE71nrMCq/fuwc88e7Nm1AzvWzsTCCb5o03Ywhk4KRpb8I0ou24tRnHkdt7YOxqim3+PrL7qgw5wTuFjiRLH7Jj+lCEYZE569YzG80VeoUqE52sy/gcOZH7uoOMWAL5uVXRCwaNFRIIHkygbsHtUUDb/5AeWbzcGCcCaw7lsTRFmFROWDwK5lHSaYi7Ihu7kP+wdWRu3/+R/8tqI/Bmw/hwuJjxD/8CEexscjPvoGIi4cwNIJs7F29k6o5Vr3Y3wEiEglC/KzM7GmR3V89Xk7NJp0BGeLf05UeKSSDMWd5VjQtSJ++FtdNJ8ahgMZTGfdt/j4MMJhk+NRfBKioxUwGG2uSCXxFG4t7YQulari87pTMe1iGrLc9yCIsgqJygfGrrqDu4vbwqtCOXzNrnbnRSigcp/7ERs0cXeRce0GjAV81/4jI3U/rkxvh7qVu6PZ5CM4/7Oiwili6/RphExuhY7lmqDTjDAcZJHKRysqplSo4/Zjw6YgrDuUAq3J/fOSNBSfHI2JrZugXJNZmHEpE3L3KYIoq5CofGBsytsuUalYHt80m4v5N5X4STseC2xsRiPsxhI4HXb3D904HbDbrKL/wmqxwmK1wfazGW8nHHZ2G357cdjF7V+YB2DP5Xpsi+u2dnZf96lnYKJydUYH1Kvi9eqiYuKi0hqdXioqDjjZ6xTPbWEREXtf/PmfeZ28Ok5U0LHPgL8HftJpZ1GF67Ow2tjrf+EbcyPeH3tcfvDPjT2IQzyGq/JOVOfZS5AXtw+nFnije98ZGLAuDkk5LNriz1eYjqKTYzGpbTOUbzoLMy+lQsKe38Zes4U/P3881zMRRJmBROUDY5FHImphG3SrUAHftFiARbdz8OMGVyEK9RI8iJVDxRayn2DXICfpJsKPh+Bo8AHs37MbO3aFICQ8GY/0LxKAIliz7yPm6jmcDAlCSFAgdu0JwqFz0birMMHw5A52mDQJSLl+HKePhmDf/r3Yt2s3dgVfwfk4NTSWpxd3JnLJgbg8rT2LVF5VVAxgl/gInviySMUIp/YBHkWex/FD+7B/xwYWJezCjqO3cDOrmN+bYYUzXwr5/TDcuHgSQRcf4Pp9KbKTryPm1FZsXrEKKzaF4MitLGSwF/NsvsYJmz4T6RHncfX8GZw8exanQ0Nx4uwVXLgdj5gHD5CQmo6HKWlIiTqFs4t7YmDDL/GPqu1Qp99KrNl7GmHxaqRnpSL72HhMbd8KlZrPwvzzN3EvLRznAtdh/dKVWLX3Ak7H66Ayup+WIMoAJCofGIv8FqIWtUWPil/hH3VGYERgGMJTU5GcGI9HcUEIDd6DRZsjEB6rd9+DY4WtUApF5BGc2rkWq1atx+o1K7Bs4VRMHR2AoeOXYdHB27glL0GhWE2ZWjgKkJsagcjQbdi+cSPWrV+D9StnYcrAXvDxGYURa8NwJrUIhdYSmHR3ELlvOZZMmIBpC9jXZYuxeHoABvqNQMC8IAQ/zIPqSRFa6YmKXUhVIYpU8Yi/HIyj+3Zg64bVWLNoCiYO9kXffmMxavVZHE/QI9dcgCJlFCL3TMHcwV3Rtu8cDF8ajJMH1uHA0qHw79QSzRp3QtcJ27ExUge50a2YDjPM2mjEndmOTYuWYcW6XdgZyARz7UzMnTwGw8fPwcxlm7A+5AqOht/FvfO7cGBCK3Sq/Ef8qVwj/OA1FTNW7MbhSAni09KgPjYBMzo2Rfn6wzFm214EX9iBVZP9MahNIzRvPxC95p9BSHyu+Dx+LmgiCE+BROUDY5FH4fbidvCp/Cf88ZsWaDpgIiavWIEFc6di5rD26OE7EB1mXERo9FMzPhyZkN/cjXUjRmH8lA3YEZWJOEkWMjMicO/oHEzv0RIt2w7DkG3RuMprXHn3hOYCjq+bh/HDl2DdkUjESCWQpNxGxOo+GNagCio3noAxR1KRlJ8B5ZV5WNDXG8292aJ7NlZckT+8thbLvBugTbN+6Lf1IcIV4pUw2GL91qJyBQelfNeJRWOGG4g6vhULF+zB7uN3kMjeV1b6fdzbOxFzu9ZGjTp+8F52DpezdVDmxODaxmEYxaKIcpUbo7bvAsxbtw/Hz4QicM0EjG9XFTXqe6Pd/HCEZbmKnJ1FGUgLmoTFAT7oNvEgNl2SQKHMgiI5GPumdEa3GjVQr+sEDF5/FadjWOSjzUTC4emY0+4bfN/ID50WXsa1hwqo84wo1KUj7/hYzOhQA3+v1BUdJqzBlkvXcfb8EZxe0R8jWtdH1QZjELDrLu4zcScPZKIsQKLygRGiwiKVXpU+x1/Yotxt5jpsDA3Fof3bEbhsIMaMHgXvOZdw5N5jUXHAmBaCc0t6o22T/ug9+yxusfXSdR1uZeJxGacntUD78hVRsesqLLiaA2VBCuTnJmN6/z5oG3AIQXEF7q0mG2z3AxE6NwCDhq3CiosSZBWkQnVxHhaOmQSf+ddxLcf1uIUPt2Jjt+9Qq3xj1Jt2HaFJj/fK2PX3W4vKVQSpWKRizkPR7aXYPsUHHfotw4ytlxB1Px4PHtzD3QPTsbg7E78vaqLm4C3YmlwImTEbiUHTMLv556hQtQUajN6HwLBkpGXroX54CuenNkbL6vVR3mcv9sTmsue1wqw5j1Oj66NLnWZoNPsWQtNdrwhIx711vTDg+z/h84Yj4bMhBok6s4gudJGbsN23Muq3G4k+uyVQPlaH4jQUnhiNKW1r4R/V+qHX8hM4l6mHxqBHcfxmBA5pjBpftkW76cdxIl9kkgjC4yFR+cA8zql059VfTWdi9pUMZInksxGO/Ju4e/UoNu+9g4j7j/tTDFAcn4olXlVRruUUDNqZgOzH6zvHwkQkdCxbaL/B1+V7o/fWSFx4FI6z89qjX3dfdFwZi+vSx8l+tmSa1NBKkhH3UIpMnQV2Wx7MshuIOH8aB07dwZ3EDKiVcYg6sgjzOpZHreps8Z4ahtCExxmQUhCVmVcRysTLmMdew/a+mNGzIZoPWY5xq0MQcpgdwUE4vGsdNs2fgAkjx2PyhtM4nu5ALnvunCursLFnBdRqMxw+W5KQ8bg4TssirG294d+8GSp234JNt7OZ8JpRrAhCYN/qaFapKZrNuYVjT1zvC5AaOAyTm32BL1vPxHAWOj0WAWXYKmzoWRG1WwfAZyt7jsf6bkhBwfHRmNCmKco1mYnpF1PdJcUsLNEdx4V5XmhbvgXajT2EAyyyI/tKoixAovKB+VFUyuOb5vOw4JYa2e5zQB706nTEREsgVbp71B0yPNjWH8PrfYXPm09HwIF05D+9We8shj2SXe33YqLzj1Zovegodt44hq3D2NV5a290XBOPW8qn7+DixyopplB2LXISLuPKgU3Yso4dwUexZ88aLOpVA60btEST6Zdx+OHjy/W3FZWmQlSOatmVfE4CYha1R0CHpmg75wy2X1dAJpFAwg6pJAuSjDSkpqQiTaZFNnsCni7ShK/BFp/KqNNhNPruyoTicblvbjxke/tiSOsWqNR9I9ZHqVmc4oAp5zLOjmdCVr0OagYcwY7ox1n0HDzcPgiTmldCDb+NmH2x0J3cd0BxeSXWe3NRGYbeWxKR9kTfH4sKr/6ai9nhLIoRJ5hoG84ibEkvdKrYDG1H7cdeKf+vSRCeD4nKB+bZSGUW5oRnga0/bhywmE0wFBTDZHJHF04JYrb4Y0j1z/GXWqMwYOdD90Lmxs6ur2PX4sDABqj4dQe0XXoMeyKPYfPQOmj1Q3M0mnwR555EKk9h0cFQXAKVlglK0kVcPbAaK+cvx8qN+xF84TYuhR/B7uGN4d2kBZrPCEPIo6eindIQFR0XlXjcZZ9F38b10XD8ORxKcd/8J9hgZOJhc9qg5JFK70qo024E/LYlI/NxFKGNQ9auPhjUqgUqe23A+tsq8ZocRjlkl5dj9QgWRXQeh7GrjuPqbRaR3QrF7tnDMLLvcIzfFoHzGXYurwwr5I9FpQ2PVJKR/jgaKk6F4cTjSIX3qaS5O+pZFJd3GhcX9xSi0m7UAexlJ0hUiLIAicoHxqa6jTui+bG8q/nxhgxPcuAvRI/MY1Mwt+UX+PLbzmgz5zyuFbqu2l2wb24uxo7+TVCl7nD477mH6+nXcHp2C7aAl8M3bRdg4cUMyMwOFp0wQXBYYFalQRMdjntpMkTGRiB8tS+GevVE63EncDwhH3aHFYXSswgd2QCd6jVHYxapBD9gq7poDGHw5kfRp9IDzacew0V26ueraB83P7ZGp/JN0Xn2NRzVM10zZCJ9e28Mrf8dvm4yGWP230eK0SZcjwWWPJiU95Geko5HLJzjIqG97opU6rYfiT47UiF5vGelfwDZHh6ptESVHhux8Y7atZ3lNMOmvYYbe2ZjnN9QBExigrHvIA7sWY+1q7dh7f5buC0veer1WyC/tAJrvcqjZismKtuSkFXoekGOfC4qYzCpHY9U5mBWGPtcxRkmuAVncXlpL3Su1BztxhzCPnbiI2xbJYhSh0TlA+PQ3MXdxW3gVY4vpExUbrpMCV+OFcWJgTg+oQHqf1EJ5bosxeK7JU81TOYgO2Q0lvi2QINBO7H4Rj70hiTIQoZgVP2/4Pd/aYDagzZg3cVExGdmQZl6A1eDdmHzit0IuZ2EqOgjODCsGhpUbojqoy7hvIY/phXGh9uxmS3etas2Q+2JZ7HzmgolRXzpZdfzmYcQPtMlKi2mHcdlC/B4F+rFMDkwn8URJiqdyzdBlznXEcqbc2x5KI6Yi1Xe3+HLP1fBN60nYuKeq7gUlwGpIgWPbp7GiU2bsPdwOCJyXaKiv74WW30qMVEZhb47M8D0wEVeAhSB/hjaphWLVDZh891s12uy5CIvageOb5iL6WtOIzAsBSlSGaRZ6ciQaqF8HOk8wS4ilXXdv0PVJoPRc0M00vN0YJqM3Mxk5B4dg2kdmqN8s7mYczXLfUHARKfoPK4s740uTFTajw3CfnbiJw9NEB4IicoHga1ItkIU58qQemUXdvQpjx9+/R/4ry97oOfG8ziTqYWqwArLC3apBCWJkFxYjIW9m6BpEy90nhKIjSdv4HpUFO5cP45DC0dj+vjpmBGSgAju+eLMAzJCcXxeF3Sq9g2++K4hanUajiGTZmHu3OmYPG0ppq05j8spCsizLuL87Jbo+H15fNN0NEasDsHpm9dw5uBSLOxeAbW//Q7/6LgAo7bdwSN5AcwGBXThC7HRuwL+/r/V8G2PFVh/X430IttLSmhtsBdnIDt2NZZ1+w6Vf/s1KvXejIXXs6EymODUXsedHYMxoOE3+Mefv8WXNbuig/94jJ8xC9NmzMOUGduw42wckkxGFOZlInpHAMbW/h3+XK49Gk27iEvJeuQWsCP+OK7MaoJW336N39UYh7EHY5BSZEGxIRXJO4dinl9rtBu+BpM3HMOxYywiO3kap86cwdnzl3EhPBZxGewx2OfPY5K8e3sRNKw66lVrgGreC7Aq6DSuP8pCzPVziFjSGT0rfoHfftsHvpvDcSM7D7n5CuTEb8a2IbVR7XffoHyn+ZgdrkGywcY3xgjCoyFR+SCwpcWogCbpKs5unobJ7Suj2u9/h7+Wa4GWY9hie/YBbmUVofCljQ1sYc5PRfr51dgwtjd6d/NF74CpmDRvARYvnIeZC7djfWg0YrNNMInEAPs/ex708cdwapk/BrWthaq85LhqY9TrOBIjV57EsYe5yLHYYCtKh+LCQizzb4h63/+A6k16wHv6NizcehC7ZvbCiDZV8EPLIfBbfR3hmQbky6ORcGAcJrUpj3J/q4Ly7SdjcvBd3FCyRV+81ucxwayJQmzQJHGfin+vyO4zFaN3RyNKZobZyQ7ZNURsG4UJXWqj5nff4MuvKuPbH9qj3ZBlWHz8Ie7nmpjg6pCfdhbHF/SCX82v8Pdvm6NBwA5suZyIlKwkJF1chx3DG6HJt+z+Nf3ht+wMLigLoSlIwoPdAZjS/B8o/10F/K38D/ihRm3UqlsfdRs0QsNmHdG21wRM2nIZF7NsKHA44VBHIm7HQPbef0DlGl3QbthabDzN3v+l3dg7qR06lP8S/6jUDZ2mH8Ch6DSkZNxG3Kn5mNuzBqp/VQHftRyDEbvv4ZrEhOLHW3kE4aGQqHwQ2CWwNR+F2WlIuhOGy0f248D2bdgdeBiHL0TiRqISkly2uL4sUnlMYSakd8/jQmgwQo6dwamLlxAWdhVX7qQjQWX56VWxLQ+GzFu4c/4g9m/biE2bd2P7oTCEPVBB86RC2Ai7LhHJEcdwZM82bN2+D4Fn7yI8LhMpseG4c/YADoeexZl7MmTmW2BkV+XqB+wxQvdi325226Ps+e/LkMUirRdPfmHCVSiD4v4VXD0SiMA9+7H36BVcjpFDkmd354ZKYFbG4uHVUITu3oxN6zdi7eaDOHQhFrFqs2tWi7MYZm0iEiNO4fRBbjcTguCLMbibpkFObjay0+4g+uJhhOzZg72HzuL0rRSkFFpRUJyJ+OCl2DjKD8PHjcPQCZMwfswojB45HMOHD0fAYH8MGeQL3/ErMf1ACuK5x4o1F4UZkbh9ej8Cdwch8EQUohIzIcm6j9irx3B07y7s2X8Cx64+QLxcixydDMrEm7hx6gAOBu7DntDLuBTLPpPcl0VvBOE5kKgQZQejCrpHZxG0bhM27TiHW8oCaE0mFOXmQKdWQCmXQfowDDHHpmPO7LkYtDgK1xJ55oYgiFeFRIUoOygu48GekRjQbzL8l1xFtM7iLhvmbsduR+a8dGijNuPA7h1YeDAdMZIf6+oIgvhlSFSIsoMqDPe3+cGneUNUbNAXA2eswZrtB3Ew5CiOHAlB8IF92B+4Dwf278fhi7dxI60Y2sclygRBvBIkKkTZwSiB5tZ27JrSA92bNkD9Zp3R1nsgBg4fg9HjxmPMmHEYN3055u+8iosJehgoqU4Qrw2JClF2cFpgLVRDk3YHdy+HImT3VmzesB7rN+3Atn1HcOR8BG7EpSJBmgddiWtjjCCI14NEhSijOOAwaJAtSUNaWhYyFHrof75jkyCIV4BEhSAIgig1SFQIgiCIUoNEhfgZrLBa7TBbXXYlb4aDF+y+xf0JgviUIFEhfsTpgMNqgrm4EIXKR5Am3UN0cg7SdUwaflYVrLCV5ECd/giPYmMQGxODGH7EJSIhTY3sIvNTLsoEQXgyJCrEj5j1yE+LQGToBqwZ74OAoSMxetsdnEkTxjIvx5YK5c2NWDW8F7o2bYZWLZqjRcsWaOY1Bv2XXcLF5MfjiwmC8HRIVIgfMWmRm3we4btHYlC9P+Crv1TGD2NOY3s8d+x6GXaUZJxBxLp+GNiuPqpWqYZqVSqj6vdVULnFIHgtCMP5JMPPixJBEB4DiQrxI3YrbEYF8jP3YevgWmj8xfeoP/oktjFReXGk4YTTosCDI1uwc8p4LN64DZuOncaRI0dwLDQER89H4tqjXKiL7JRTIYgyAokK8RxMPuw3cG5uB/SsUgstx58SkcoLRcWug1VyHPvmT8WwgUux/vQDJBofRzU2OB08SU8QRFmCRIV4DjP7XwTOzesEv+q10XrCy0XFnhsH6dFRGO/VFFXq+KHX6NXYeOQGwpNUUBQ5XrJlxsTGqEOOQoqs9DSkp6UiOU0CicaAgsd3cFphN+bDoFNAqVSzc4UoMBhgzpNDmZ6Ah/cT8CidPQe7g3hdNgMK1elIe3gfD+KTkChlj19spy03gvgAkKgQz2FionIT5+Z3Qp8fXKLysu2vYkk4bizvgYEN/4G//eVv+Mvfy+Hb6q3Qov9CzDv6EDE69w2fpjADiuiTOLpnGzatWY7Vy+Zi5rR5mLfpJI7H5yGbDxyx5yI/LRy3QlZgzcrVmL4pDOfCI5F2bSf2LR6Nob79MHDCKiw9mYj72QUolN/EneDFmB/QB/79hmHgnP3YflUKKRM2giDeLyQqxHNwUWGRChMVv18QFZM2FUkXAxGycR4WzxyO4b2bo0n5v+JvfyqP71qOxZg9d3FX6xCz5PngLRQ8QuzJ3dixbAXW7wpC0NHDOLJ7GZb6t0KHxp3QYdwBBN5XQePQQRZ9CMFTO8CraQNU6TQdY5YE4kzoduxdNx1jvVuibaMmaOQ3G+PXh+Bo6F4E72YiM7k/hndvikYNe6DD6L3YF6djjyWenCCI9wSJCvEcry4qcPI5JA5xOMw50CZewMX1wzG6ZSWU+8PXKN9hBqZf1CCZj4C0piEvchUWjhgJ3+E7cDguG7l2O+z6RKTuHoqxLeuhdrtZmHPhEdKYDMmTL+DYxBboWuVz/K3BAPSYHYKzkQ+RmJ6AmJC5WNajCiqXq4fy7Sdh+vbjOBWdhISHV3Bv/0iMaFgN39foj6GHknBLjIkkCOJ9QaJCPMdriMpPKEaJOhaxITMxucV3qFipLZrOvYZzMgvMiku4u6o7fHoORbdFtxClfpzCL4E94yKuHtyODduZKCVlwwAW3eQl49bS7hhQ7yt83Wk2xu1PgCLPBJPdBktyEK7MaIEG3zVChe7LsSFajvQiKyw2NYwpG7HaqwbqfdcePdbG4KzW/TQEQbwXSFSI53gbUXGTdwexq73g06QpKvXdjR3Ramji9uLg4Jpo1W00/PbKkZbnvq2oDzOipLgQujwzTFa32FiykbClL8a0qYJKfTZhadhTCRrVOTxa2xPtqnVCnSGBOJIvNtcYBYA+GLsHN0LbCm3QY9k9HFeKEwRBvCdIVIjnKAVRMSthvToDS4b1Qq2+27E5MhUZd7dis08VNGg+AN6bkpHwRFSewmmDze6AjemKw6jCwy19mKhURkXf9Vh4Ids9+pehOIOHq7modECtQbsRnGNl0Q0nD05tEHYJUWkrROUEiQpBvFdIVIjnKAVRsbKoInYZds4ZiZZjj2FfDItU7u/BTr+KqFGpNZpMuYgw9XMFx1YWbuQkI0OlRxZ7MlORCo+29sHo1kxUfNZhwXn1jyXK8tOIX+WNtlxUBu5CkMYMdm9GLhw5Qdg5yC0qy0lUCOJ9Q6JCPIedRQy3cXlxF/SrUQdtp5zHriT3qedwOJ2wv6gZxJgF7fHZ2DhnJgJ2P0S40gyz5AyuTKuPpl9+ib82GI+JwbGI0xSjyFQEU74MWTfPIzwkFGeiM5HC1MNqyUX6Dn+Mb/s9KvfZhCWXn0qOqM8jeX1vtP+hs2v7K9cB1yh5Fq/kh2Dv0CZoX6k9eq1+gLPZ4gRBEO8JEhXiKXg1VxFshZdxfHoreFWshsYjQrHunhXFdgcv9nLD/uE0oECTjsSYh3iUqkR2sRElJhNMpjxo067j/Mo5WLN8OwITipDFQwxDPBS8UbLlV/j8r9VQuct0TNp6FmeuXsT1s7uweclyzF4QhGMxcuQ7HLAWSxG31htDG32Hb7qtwOyTchjZa3A47LBnHUP0ki5oXqEVqvptxV55MbS8As2RDYtiDzb3rYWmXzdDpwWRCJWw21NZMUG8N0hUiB+x5qNEdQcPLi/CjI5fo8J//R/+1HAS/LfcQ0SqDoXmx6sz+2q8j8TTSzC7X2/07D0KYxdvxobtu7F75zZs3bwFqzeHIPRaMjKNYkONBUAFsCmv4frWAAxvXRmVv62Er79vjEbtvODVdySGzdqJ9acS8Si7CA6zCsqYIOweVA31//gb/LpiH3RfEoZbaWpo1SnIOj8fG3tVwNe/+Tv+tzZ77iN3cUuhhloeidij4zCizu/xl19/gW+7r8bsMxKk5Tpfb/uOIIg3hkSF+BGLHkXSCESdWoNlo3uhd/vu6DJoIabuvIaweA0KjE+JSkksEo/PxtTuTdCwdku07DUKAVPmYe78ZVi5KQjBt2VIde1JPYUVZkUk7gXNw6IRPdGtTSu06tgHPUetxdrTCXhU6PYNK5FCcms/9s/2x4DOndDedxombL6MsIcyqGQPkHJhPbZO8oFPB/b6Bi7CwuCbuJkpgyzzJiIPL8KCQV3QtUMveI/biDVnUpGQ4wBv1CcI4t1DokL8iMMKu6kABr0Siqx0pKWkITVDDqkmH3lFFtieTOpiX+1FKNEkI+nmaZw+fBAHQs7gVHgMoh9lQarSQVdif/FC7jTDUqBGtjQVKY8eIuFRCpIy1dAUsJ+7bwKHCSZDNnLkGchIZbdLl0HCX0Mxu42JPW8ei0qk6UhPSUVqpgIKbQEKTGaYjeyrln2fyX6eyl6/RAVVbgmKWZjyZOeOIIh3CokK8ZbY4WCLeX4eO1gkQ+kLgijbkKgQBEEQpQaJCkEQBFFqkKgQBEEQpQaJCkEQBFFqkKgQBEEQpQaJCkEQBFFqkKgQBEEQpQaJCkEQBFFqkKgQBEEQpQaJCkEQBFFqkKgQBEEQpQaJCkEQBFFqkKgQBEEQpQaJCkEQBFFqkKgQBEEQpQaJCkEQBFFqkKgQBEEQpQaJCkEQBFFqkKgQBEEQpQaJCkEQBFFqkKgQBEEQpQaJCkEQBFFqkKgQBEEQpQaJCkEQBFFqkKgQBEEQpQaJCkEQBFFqkKgQBEEQpQaJCkEQBFFqkKgQBEEQpQaJCkEQBFFqkKgQBEEQpQaJCkEQBFFqkKgQBEEQpQaJCkEQBFFqkKgQBEEQpQaJCkEQBFFqkKgQBEEQpQTw/wMfelr2WgMkYwAAAABJRU5ErkJggg==)
An object is placed 20 cm in front of a plano– convex lens of focal length 15 cm The plane surface of the lens is silvered The image will be formed at a distance
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)
Two thin convex lenses of focal lengths f1 and f2 are separated by a horizontal distance d
and their centers are displaced by a vertical separation D as shown in the figure : Taking the origin of coordinates, O, at the center of the first lens, the x and y-coordinates of the focal point of this lens system, for a parallel beam of rays coming from the left, are given by :
![](data:image/png;base64,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)
Two thin convex lenses of focal lengths f1 and f2 are separated by a horizontal distance d
and their centers are displaced by a vertical separation D as shown in the figure : Taking the origin of coordinates, O, at the center of the first lens, the x and y-coordinates of the focal point of this lens system, for a parallel beam of rays coming from the left, are given by :
![](data:image/png;base64,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)
For a convex lens, if real image is formed the graph between (u + v) andu or v is as follows
For a convex lens, if real image is formed the graph between (u + v) andu or v is as follows
A ray OP of monochromatic light is incident on the face AB of prism ABCD near vertex B at an incident angle of 600 (see figure) If the refractive index of the material of the prism is
, which of the following is (are) correct?
![](data:image/png;base64,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)
A ray OP of monochromatic light is incident on the face AB of prism ABCD near vertex B at an incident angle of 600 (see figure) If the refractive index of the material of the prism is
, which of the following is (are) correct?
![](data:image/png;base64,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Man and mouse cells are treated with red rhodamine and Green fluorescent dyes separately and then are made to fuse. The resultant cells when kept at 37ºC, the distribution of dye on the surface of cell will be like–
Man and mouse cells are treated with red rhodamine and Green fluorescent dyes separately and then are made to fuse. The resultant cells when kept at 37ºC, the distribution of dye on the surface of cell will be like–
Which of the following statements is not correct?
Which of the following statements is not correct?
If
then adj A
If
then adj A
Which of the following is not true
Which of the following is not true
Which one of the following statements is true
Which one of the following statements is true
The inverse of
is
The inverse of
is
The inverse of matrix
is
A real number multiplicative inverse is the number that, when multiplied by the original number, produces 1 (the identity). Because a× 1/a= 1 is the multiplicative inverse of a. When the inverse of a matrix is multiplied by a given matrix, it produces a multiplicative identity. For example, the inverse of a matrix A is A-1 and A.A-1=A-1.A=I, where I is the identity matrix.
A square matrix with one on the diagonal and zeros everywhere else is known as an identity matrix. Think of the identity matrix as the matrix's prime number.
An invertible matrix is one for which it is possible to calculate the inverse matrix and for which the determinant is not zero.
The inverse of matrix
is
A real number multiplicative inverse is the number that, when multiplied by the original number, produces 1 (the identity). Because a× 1/a= 1 is the multiplicative inverse of a. When the inverse of a matrix is multiplied by a given matrix, it produces a multiplicative identity. For example, the inverse of a matrix A is A-1 and A.A-1=A-1.A=I, where I is the identity matrix.
A square matrix with one on the diagonal and zeros everywhere else is known as an identity matrix. Think of the identity matrix as the matrix's prime number.
An invertible matrix is one for which it is possible to calculate the inverse matrix and for which the determinant is not zero.