Dataset Viewer
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int64 0
999
| index
int64 0
999
| question
stringlengths 10
679
⌀ | category
stringclasses 6
values | subfield
stringclasses 26
values | A
stringlengths 4
107
| B
stringlengths 4
93
| C
stringlengths 4
116
| D
stringlengths 4
93
| answer
stringclasses 4
values | image
stringlengths 6.78k
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0 | 0 |
Determine the angles\( \theta' \).
|
Optics
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Geometrical Optics
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A: \( 28.5^{\circ} \)
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B: \( 30.4^{\circ} \)
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C: \( 22.3^{\circ} \)
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D: \( 31.1^{\circ} \)
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C
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1 | 1 |
Find the angle of refraction \( \theta_2 \) if the second medium is water.
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Optics
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Geometrical Optics
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A: \( 22.7^{\circ} \)
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B: \( 31.4^{\circ} \)
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C: \( 32.0^{\circ} \)
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D: \( 33.5^{\circ} \)
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C
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iVBORw0KGgoAAAANSUhEUgAAARoAAADICAIAAAC4ULl9AABvsklEQVR4nO29B5wkZZk//qbK1bkn7MzmBTaRw0qUHERAgop6Knqn3ukJ5+kd5jt/d+fpneH0rxhAQJSkhyA5h2WBJW0gbWJzmJ3QubvyG/6ft6pnWJCwy23e/lKfoqent6e7qp56nvcJ3y8UQoDdBgwAFwABAASAAIAFwIAjICDg8XNAPg3lC9joP8Gjv9jNIYSglCKEMMYAAEophDB53MFeAwR2M2AhP1NiJAgCCGNjae9f+7R7hAlticR4hBCccyEEhDAxsF39uTrYniBgdwICgMTOB8UGExuVAFC8wZb2UItCMTjnY36pY057GXYvc4KAK0IAyOFbGcvo02hPMyrOOULtT514J+mKO8He3oXdy5wA4BBQICiAeNRkEkeFAEBiTzOhLcEYGzOnZOGU/NiOZjvYKyAjeLAbgQKeJCNiK0I4NngYr6f+YuGUfPA98GpMVk0QQkJ2t9tZB3tVKkIAzgCPgIiA4EAwAJho243M7m0BLjf4+ud2b3ie5zhO4pEIIR2/tPdhN7s7iiSu4/IBkj9KW5LpiNd8aJw0T8B3yzvCmyOKonK5nDgl0zST8K+zdtrLsCuvRd/3GZMFpGaz6bouAKBUKlMGAdG5wJQDBiCXBgYdx4GAIbmy2sKWoAybwB4CRVFuv/32yy+/3DTNJLnXifT2Puwyc6KU6rqemJNt28m6vNDV4zIcCL3FECA2g7jSaAggbMuEbVsa2+SHj9dUHXSwu2CX3SA9z0ulUmNZ4yiKPM9DmolMy5W9ESYESIGakcrG0R5DSfVJ1qKS/AOS7qmz/uhgd8Iuu7snthQEQa1Wi6IolUrlcjnN1BasHN7kA64jJ244IliNw0JXpigElam/2DWJ2JyYXFx10MHugl0ZLAkhTNPM5XJJst7zvNvveeS/fnHNH+9fuMmRXXk+B3U/cnzfNDTZpse5NKoYLDYs1vFNHexO2GXBnu/7AABd15PmAMZYqVR6ccmy515Zvax6vxex8884aloaKLoS1BtAN2XeXPolBQgmoCzpJl2xfDT+66CDfdc76TFc1w2CgFKKMZ4wYcJn/vbvzjj3g02Kb39g7p33Pz3sSlNRFE2GeYKNVqJksJf8b0+qOnWwDwDtWu+EEFIURdM03/fDMCym0Kc/csbhs/YfHKne8+hTjz6ztC69DwI87pOABECFQ40BmQck8ikZJbLRBgkJ8doP4vVbBx3szd4p2Scpcl3XVVXVADgoD/77Kxe856gj1pXcn1zzxzseWmRoZhQGAKKWL5rIGg5xBHC9NqxFVUM4DPAQgEgA1m6ikN2mgnEOGAU0FCyK11ttP7ZL3RmllDEWhmHSVx6G4a78NB3sAOxelUQMQBYBJwLf+sKF3/hepVqtXvOHuwomfu+h0wtYUy2ZfsByEYWK2RwUnluvkKz5WsPE63wQEkAwKMvA7fz6LvVQnPM5c+YUi0WEUBAESRk3DENVlanLDvYO7F4tsAyAJpfBnQBgXTn8m8v/sxypLQr/9fLLzj7EKkKgRU0FAwYUhORgVMgiIDPpSA4dxm0Ssc0gjuQQbxQ3TcC4O11uQi6+5A+7CFEUJe0Ru+wTdLCDsdt1FSgQUMexw/rMAv7lf30nCn2te9q///q2exe3BgNAFAMA0RzZDGV2QmHYkGPwIkKCxpMdcUkqHkDkcbdf3CQ7esOQ9WC+q3xUFENRlKQLNjGtzvjgXobdy5ww4BbkA6++goggIujW6W2//bfIbZUc+j83PfzYSlADBCCD+S3AAw5AreFgwZAIoYhGs30SHMqS1OjPY8Wp3cgPd7BXYvcK9gDgXq1kpC3hNDwKSGZcHYE7loCf//H+xQuXzTnqwE+fOuvCo8d1owiEfpNphqES7shpDpnkk0l1AAhHSLoqCKLRwSlVbgLJKjAHWNlVI1KdYG+vx+6VipDRWtL3oOf8RjPPA4sp581C4Nxjf0XUBUvXNOp1Rs746BybUI65TwCLbSkJ4WSHefwYgVHXlJjT6JuPTU7tAnDOn3/++dWrV1988cWMsWQal3PeSUXsTdi9gj0AkWLYoUcbbpAvFAAGKnWskJ13ROoTZx4zc2LPsnXDV90+d+4a4JmaZaWbQwPx+igmZkm4WSCSNGJv9D98l48bIoSeffbZW2+9lXOuaRohhFLasaW9DLuXOQmAhJ7CRiZjG0BWjDhRiYlZSoAPHaH/3dmHHzFryqsbRj73/65cMAhCaTNxCg9pACv1egtgJQhD1/WRJOiTnldp0yFByeWCENj2cb2k3Oy6bjKRnkyUJD9yzhljyQuSdt7kt28FQgjGWFXVhIalY0t7H3Yvc0py5QwC0aYBSygimM5Dw3UuPmHc35x3kho1s7nCpV/7n8XrmkbPFAcZLYabPkvnewY2D2qGblm6H/ijvGKS9RKNlW/FNn9fXdd93zdNk1JKCGGMBUFgmqYQIuGgRAj5vi+EUBRljFylg30Tu93pTwgrOUQMKQwpvE1pFGUtkgXg7IO1//rihdHASyriX/vp7x9bH7hIWzfSArrtctDT17d5sAQhMBSEAUUgjPfJTAePA8Jt/jxCCM/zqtVqYiqJb0n8UpLFSZ6Joggh9PbeqYO9HruXOUmXIigCPIIogogBJN2UXPBwICj1GunA+8hx/V/79AdsEq6puP925S3Pb4xSvcVyBFoMuBQUe4r1Wk3BiIhIAYzIkXjp7V77A9toUaVSKZfLpVIpjHGz2RRCGIbhui7GOIqipHCkaVpiWh1z2sexe5kTkM4kgCCiQKa543GmtmOpO4FmmDkbsMrQp8867MyjZliZ7CsbSj//3Z+WDQqigBCBlicgBLZlsNBD8q0iLDdpn+/6+3Z1dQ0ODiKE6vV6KpV66qmnhoaGLMtKFj+e540NmCT5hu1+RDrYg7Cbnv4k5IujPsAh4ZBopiWkVbCUSXy38aXPXnD0ITN6u7LPLn75J1f9blVVZhmsFNw8WCEKxnKgI4IiRLL+lCgGvEtQSnt7e+v1+po1az71qU/dfvvtn/70p7///e+Xy+WE4iupJiXeqVNT2sexe5mTACRCmgBQE54pPEWEAoAQahQqOgYI0FqtAfScMNMhAN/86+NPOXB877juF1es//EV1w+1wEgTpDKZRqUKVCVuOEryGjIeg7Lq9BqP7NaDENJsNufPn/+tb33roosu+vd///ef/exnN9xww5133kkptSyLc2mrHc7xDnY7c0osikOEBI/b8GQZNi7Nys/pO24mW2wFYSB9D4Au+ManTj18+tRcPrPwlRXfv+KPLgbIkGl2EQ90SCcnWyVIslx63aLpDbNQr5+I2vIJ6lRXL19y+eX/csLJZ59wwgmahvq6coccfOBtdz2wuebJciwGQEQ6ke3sTiDtv4N9FruXOcGkTUg25mkAGQgqCkAqAJr8paJbWQhIRtMLBHQpoM8ENgD/8YVz3nPQFJjKPvzyyu9de++yGoiwWnZcgIzhEdcPFQB0p+aGjlzkOE2/XdGVHRJygOO1DfAoCKVaDABeyLxI8rxwFkGndO3P/gfr3Se/7yOZbNqtbqStwcBprhpyNrqoAeRMI2gMAafGAECG+VZhZRiG55xzzo9//GPOeUIquJu1d3Ww15nTFrk3kozbjpaP2mo1yTOk3YYnzYyH/FufOXfOQfsBwR97dtF1d81dUuNqfsK6kWZX93hdM2rVmpXJqqYdRkLV9S1yfGN1reQnIUZ7JuJ6r6QcQ5CvWfrSwqfnz5x92KSpecYj0yCp7q5mrd4IeQDUUDoxBhQFEMwFCN+6YV1V1fExEEKmaSbTxzvheHawD/fsbSMQAHkV1QD4yaXnXR7UH3xu6W0PPxsi65MfOHJWVzfjEWFu1taE4BHAgEAEJeX5aNjX/h+KLUpIRhcAkHRTGEUYYdlIIfwFCxYMDA2fdcgshEG1Vgmrm1WKa9XmuMn7FQuKrIhFkYp0IHC8hnrt3d+Aer2e6DslpqWqatKz10kG7k3Ys88lBICGbgEAnUY/+adPnH3icU3Hv33u4mvveqUKQDWKNTgIdoPQDyIR98Um01CJHGiyRQAmSXkhl2lCPiGCOF/vcb+5dNmKVDpz043XTZly4HnnnPuJj3/qpBNPr1Qakyf1WyYQMogL5WuZgrHsvH2rspZpmqlUKsmwj6nRJLNPHew12NO9EzcJUUFgQL8akH/7wvsHa+HcpZvvmbvA4t6lHz7SwrZbGUrnuxSAWp5rGpJrPylmvT77kDT1ycgNAiqEF7+ChV7j1dXrNN387Y1X73fAhMbg2nH5zPW/vP5n194wob8bAWAAnLKyoMKThEfot4CdfdOPSghJFDSKxSIAoNFopNPphLuzg70Ge7x3UmUWULqWDAHYFz/+xgVHz5rUalT/9OBTv737leUNQPI9FCAqKCEorkHJLdFge4MnkTXgeC0EZdxGBfPD0B8pVWfMOnh8fxcEoNiVB4r+5PxFpZHaRRecwyPn2YXzrr/x+ssu/edf/uzKVquZte23ondpNps333zzT3/600qlkiTWO2unvQ97tjkBgMKIAqQArGNMxuu06IW/+uf3n3LgBGKkfnnbo1fdt3gtBw0AHM/VFFXwiAhKOFUEU+Ik+phdycn3mLtFrn4gBIhAiBhHjKtcICI1RgMhxIvPLd4wMHLqaWfuP22ircJZM/c/8oijIgqHhutCiJZfe6sPmk6nh4aGXnzxxaRClehojHWjd7B3YE83J0lqSTliQPeDKGqWe4yoGAU//uqF47IGA/jueQv+8MCr1QhoZtoBMOBx6k2myDniPClLJZnDOGuNoIzZ4jQ9kJl6gDTDzgCiCBaEkasQ/OAjjwwOlf7u775gEERps2CkpkyeTDl2fGbZhqGTLRqaXgfOuWmahUIhk8l4nhdFUULcudMPWAc7EHu8OQEuEMIRAFCzFd0EoVNU3D4Ifv3vHxlvAxXBa2/431seWNgAoORDRHSZnPAD2nIBgNT1Q9cnskDsKxApgMQKNyrGlszDYzvXO+mIY05Yt2H95oENmoKemv/klVdddflXv37gIdM5DyCPZAsUhJad1XSTRxTKqtXboVQqAQAMw4AQNhqNnXWMOthJ2PPNSVKvJEPtgCIVQAXwyBTNrBP88Sefz8JWbzF39U1/vvb+l5AOhgPQCiDQU8TODA0Mq4ZhGjqlIG3pklpMtq8nvRSKABoQGgDKFy/7cjpf+NKXvnTlr371jW9844v/cNmHP3EeY8BASlo1HL8prYIoDEBKaRS85XLIcRxCSKFQCILA8zzGWCqVShqUOthrsKebE0ecIhGQeM3jYL2JcxGyAaeTbWdyWLrlR5fx6npPoBvumnfHc8OuBjwFtgQYbvCrb/4zhaDlA8dxGWuvoKCAUGABsBAKB6qAipnL3nnvXf942T9O33/GnXfedelll61eM2RYoNGsqwCrimJZFlFxEIa6aqQM660S5alUKgiCMAwJIYZh6Lo+li7vYK/Bnn46pU8CPMJCuoUAABeCABlAwHBgpa35tle+6gf/MmPq1ErT+/lVv5//otNCoEXAbfMWzntp5b1PvIwMoNpmQhULhYByCdUmjuVxhUozNADBmaeffcKxJxiGMTQ82D+hBwCQS2UwQHJMEYCRyki5VkaIMPp2hzSZREzG4CmlQohOKmIvwx5uTm3G/wiJCMu+O1k2ChAMkE4UDTiNlHBndRn/8uVPpohotrwf/fr3Nz7ZfKEF/r9bH6zrxStuvqMBAMMgSgYMZZMRhYJLu4p7bzkEEaPNltuoO7aRVrDS011IyF6iIGw1HcSRaRhWSs8V0wgC1w3e6pMGQZDL5dLpNMa41Wolo7sdedy9DHu4OSVAAkCBINPiRj5pVEhD3ZPq9UhNWdStTs2CH/3rP03o71+9ufLjm+78nz+9urTONwR4+XDt1odeCgBwIslmHs8pJv0SVHZQxJTnqk400wh8GgW8XC3LmSvEfZ+qqpEyMwRr9Vqt2ii7vuM0g0w691aHNBn0SKakCoUChDAIgo457WXYw80pblOVvOMQISBM7lks0AXnAFZYVht/SKVOFQi7IDh6Avjsxy/um7pfxYMPvLTGnnpICZh676R75s0f9IGqSsckYKxpCKWsoTRJOWbPNg8PcE67u3OKqhZyBSoihDlRkKA89KNlS1659bZb1qx5ddPA+rvvvnv92g1v9UkppcVicerUqUlCr1KpvCPzUQd7HHY3FthtBRcikB1CMsctYqZlwaFKoba+1BxXTEVekDI0CsB6H2zC4LvXLnl6Tdn3GAgcjAJeWjujqFz64dM+cuJMGzAFeIligKSShZi3xw05BNhvRqap1J0hO21TinWi+45vmCqnrUggIGxVBc26k85Yb8VF4fu+ruuO4+i6jjEul8uFQsHzPMMwwL4FHu9jWYf2sUruX0lFfUt3nczSjHb97wnYs81Jzibx+HqXDXeASBowmUEQAEcAuRxUmr6W0UcouOGuFTc+8MywT7CWCZiCMgXuugYJ1PraOd3sxv/+nO7UbBNFjk/MTDUEmq61QqASYKItxGzkEivumhgt/oahLzvKVVNRsOyHDQIomcIkYViSe0h06ZN5J4wxISQIAk2TA1xBECTPgH0IXN7+BAZ8lGMQcoFbAASxcWlC2EnrZHxb84RgBOp7UGfpHmP3b4p2J+tok3gyDRX7k6iyeT2OgmJGX7Xe+8KX/ufaG28xTBuEfhYL6DWF6wOsqlYXtHs31vidc1cQKxv5VLEsiHha14YrdUMFgaSBiBG3+iX5ikRFqt7yAsYVVbeslKJgziJKAwC5oigQyhpUkrtLjGqM+TWJ7iilYRgmEk9g3wKXmZ7kXL3Wg0wBkJJ38YPXGpMlo7wMv/ck7NnmhABQkBzgTba4wac9Y9tVyNmaUhoqjy8Y1/38Hz941ns3LX1+/y6TVjdmYKvbiIBTqm9YW2uFmyP93oXrawCsq8ZF2LBJgtLErAI4t7U41IhZJuQyLVmsxc9oBMseiNeEQxFRFDV2O1v6pWTGCWOcPCOE0DQtYUFSFKVarYJ9GTD5nzyiUPp7ObrS/k1SutjTrs897OO+ARBwRTANRARwnKTjpC0JwBkmMHBqE3sKPRYQDvj6Xx9/27XfnZJDWdjIwVaaVmzeBITnunoivfvBxevmrgIg20tDBngQ1AYw9HUoJ+PxaBM6ltlzuU6SJxoKQ1cxAkHgJw4n9kjtJodE8DdxU699VAg3bty4dOnSZDqj0WhQSnO5HNi3gOK8kTwwoxuMQ/X4Zhhfjcnz7Rfvadfnnr12imu4NC4EjZKPtxkgZEoCQOT6jGId6XrZB00KMjZ44VX6u5v+tGjpGpHu9o3ecoj9EGRsfEg3uOobp2Wq5R4rBE6ZMkGKU51QmKoGt6BiliG+QALK9RoXsmEvsZlEDY1zGewlXORjYrhjBvbDH/5wyZIlP//5z01Tjl3VarWEDRPsQ+BAFtwREOroclQI5MTixgLKMoctn4wXUgyEQuaHtD3IqPaYD/rmkLWiSFoUj7a4+WGp7hlFAAJThSbmOgA9Oui3gQHAnP3Jf33z4u/+8+cOKKrl1S/goJrOWvVGY+HS1Xc9MWzkCl4AQaaLGFazWrFURfZJJMYZbzFlnxToCEMPSZJmmLCWQ4wM07Rse8yWklqTFiMRHaSUtlotz/OazWYyspFw9O1bgNI7tXu64rg58U6jDip5Tft/cQS4J2EP906CAtqSVoXj5lcolznxFS8A9XnoI8MAXDQaDjFSqm7VfarqJGDynDYBuPupym9ufWDZkJMpdrNWeVKaX/GNv+5R3ElpBYJgcGCgt2+CTEO1u45iwPg2CgCLIqxJWV7fl0kFVdOCgNVqld6ernq9vnz58pdeeumVV15ZsmTJqlWrRkZGJk+eHEXRzJkzb7nllqGhoUKhkGQm9jnvBFh8AEdzMLLgJxW6RGw8QhrV2Eu5kLTYexIT6B5uToCC0JGXONYEIhwoyZfBsZyniLzIc1TDAEQBkEQhRapVbQZ2SnMiGUlAFQxR8KcH19942z0cYerWp/ZYv/zB57sA8Cq1vrztNqspOawe3zVj4d2xxBOLKFakAceRPuICPP3cgnnz5t3yh5sJhvl8fubMmXPmzDn00EPHjx+fRHc/+MEPnnnmmVtuuaXZbO6rY+28fRjbCimjT7ZFwWVb/+ueBYLsKq3IfXntJKBCBaYQtWuEAuhyecMAD9tyhggDRICsR5Gx5CuPE7QhAA4An/vqlXWG12wYPubow7/6d2f2GSBNQZZwRpmCSbxA4qHrMMYM22JxD6tmWgBh3/fvueeB31x9dcj4ueeee/aZZ3R3yRnBRAFACDGWDf/1r3993333XXfddel0Onmm1WrZch5+3wFngY8lt7tjyFsMFJxDRFot17ZtSXIIAYLI8+V4pZ1KMy5UBB3HURQlkcPakvspqYwnAt7JWjSbfXOijp2GPXztJBdLsn4rAGFScWNUZlBaUpzWjtdRchvLwI4S9ikAmCLMcqfI/G4Bfv2fn5s+sSdd6Hlu6YZ/v+LBSnxjrHoMEGWoXHO9IAgi1bQM2+YRxaqqWdaypa/8yze+edJJJ11//fWf/+Lf33H7nZ/97Ge7u7vHLGQsRZ6sr4IgUBQlGXMKAjkqv4/ZEpBkBKEsLikq9rwGY8FDDz0URcK2bN9jCCaJcmroWjqVXrd+kyQBiXnUFEXxfVkx9zwvWYImS9PknpU05ichwC7+emCPB+QQxvNK7SHCMYixzITcZNKbxa4pqR8iEAHuAtZEdMSKRnox+PtPnnPEobMBUZ9/efmPfj23DgA3lMFakCvmKFKxpjVbPoCSkKhZb3znW9+69NJLMcb33HPPrbfecvrpp2uaPJjptD3WEjGW92OMaZqW5NETlQAhxL5JvaKqyTw/13Qyb96jV1115fJlr3IGNFUSFdbrdQH48Mjgrbfd8tGPfOzHP/5JGMpqeHIYlWS6jBBd1xOJreR4Jg9UVd3lqZ0935ziwsWWdYqxemtbOEPmkeREYGJLPA7TmYwa4iIVo1I1lHqN4U39GfC1z73ntPccrCPx4EOP/PK6RzwA7Kw2XKeqBpsuNWyzUq2v3bDxwgsvZFz85qqr//Vfv23EfA8KwSMjNU1tG1KSIh8LpJP4JJnDTSIWXdeFELv89O98YFUN5TByhCC85967n3zyyfnzn242mbz5QamUBQFMpWXgl88Xu7t7gZA1huSohmHoOI7rupTSxIoYY6qqJk1bSbli1367vaHJJVbslKumhEdFnjPBcdwjPuquIAcoEbeIi4RJ9QgDoAOCZPYI4u6i5cVF+K9fcmh9zUuvrqndfs8Dhq5+4eLjNZsEAKgmqdS9K35+xU2//+3vf/fbIw49hMRn0TCVRqMhMMnns0waqyx8jU3ajtWdKKW6rhcKhaQ8ldxr9/CF67sBD+UB0TR148BqQpCdMp944qkLPvDxWg3k8pIvzfVbpm5edNFFZ5x5kW1h2Y8CpZ0k7t2yrLHFkqZpcgUbd28lHmyXCwLt+d4pjt0Q4DLPEG8qEAQyWYkSUVKPErGxJRnZ2GslhQ9MkcFIimk5RlIIKQaICgCkXPab73xialcqW+y59oY//fzqewiW5OMvLNnw3pNPW7thYPmKFXPecwwVgIVh5Pue66bT6bRlYgzCMJKSGjGSSC9R/kys64gjjjjzzDPHTvk+2bMHwjCUuVYg5s597PTTTz3qqKOenv/syy8vMQ2ZM2q1WnEMzBmLbAvX6yxpNImiaGw8LNFW9X0/ESZOblhhKOUadrk57R2nU9ZVceyjhJxTEjLjx2I6foRlRBfrgtLRJHfC3ZU8QyUrOZGUK24jY2K1vmlCOu9ExtU//NLF/3xVvm/SvQ88oopowrjub1z+lat/9fPTTji83vJsXdENozoynCsWFYgkPxHEuUIu1p+O87uj4X5iNgmOPPLI6dOnJ5yVW75gn4ISX/HVWqlUGj733PMGN9cfffh7t//5jpNOPDgIZTpB16AfuosXvbJgwep8vvCxi99fLpdXrlz5/PPPH3/88UEQDA4OLl68+Ljjjjv11FOTFMXYYnVXf7m9wTu99i1k1Dd2SONlf1LSkM1AQiAe1wwF48kma8DSX4UAUA4M0+aejwzVH9yAgoYFwE/+/bNdtqIa6m33PPCr3//x5rseOPqEwx0KfEoxIfVmK9vV7fteaWSwWMwUCylfkjarYw3jlMu1UzKvkdxTdV1PGJXbNhaTH4F9Cxyrwncb6zYMd/dPM8z0Kae8d/LE/LPPzl2/0eUIqJruh/6T8x576om5V1555f0PPBRSsXzZyw8/cPv3vvev9z740OJXlgVRODi08fF5j1TrlfiGCAEINIXGbNi72KL2dHOKebzaW5yJkEk8Igu0qg2IDYgJkIYQUSHUkRxeUiFWoKJARQfQAiANQB6AnGxLR8jIAKWg9+5n2DlNgCkquOEHfz+pv0fJd1Wx/cyqzXUAmkxW9WUZXzcCgBTDslN61BoCtGEaJAglV0TSWg7j7DxEWIq/xY4y4ZcNQyr5aJkMPxnd+5N7nHPHcRqNRhAEsvrtDRMdPvb00uNO+RAVak9P7tSTDmw2V95+/51cB24IQp+edup7P/mR8ylnVibLITjm6EMv+ejp0yZm77j/oVPef8FZ57zv/7vih9/+zleNtOkIIFQN0DIQIxD4TN4hdyX2dHMay+e9YSOxUcVbHNAmA39jkrvJNqYTJV8hb2wEQE1ukqZZpASzBLj8K5fl83nN0K/5/Q2/u+05pAEzm95ca2qKQjnzqafqpmJnAcSMB7oqq71vSlNuGFqr5VardVWJ/1oc8cvIZ9dHKDsEnue5rhsEAULIsqx0Oh1nDgLFIhs3rn1l2aq77nn8vnsfvO+eO6dMKrjO8MNzH162sokwSKeyIPJr5RKE0A8jIqUUGBB+ENS7e/u6u1OapjEZyTNZXUyytzCIaaySuuOuxF5gTtsHSc5g7MdktYMhKKThf3zzsv4UYa3qbXfff9uTG8sACCsV+I6NqElUClCNqi6yCCJIciLJUxwnG5P9KAc65wsXPPfoww+1S/tyVS0bzcFeCsMwTNPUNM33/UqlUiqVms2mTHY77uLFi2fPmpW2JUt7aaS83wEzDjhg+quvLl+5fJkU9Ykzr+lspqurK4oCz48YY5lMVtP0fD4fCVB36knJLs4nxfV5Wcpvl/h2LTrm9BqS8b6xH2VPAwTcFxMy4EffuXzGxK4o8K/67fU33bcMKwBpFgeQARFwEEGVQSInDJNaluw9Z3ALpVAhGOBi0YKFDzzwQJBw6yXlXRpH/nspRNwOoqpqPp8vFoupVEpR1FqztXLl6rPOOvP97z/5/PPO//glf33sscdd/NG/cpqtZ597utWQxVnP8VRVl+tdxpX4vsM48PxQV9UokPlx27CTYiNsN/m1o5JYqHhXomNOb2dRGICiDTkDPSn4ncsvS2uwWq3e9fATf356MICgFKBK05XinFi+0otY3ECzpXyUkMFIPNaBMPQDt1KpxNO4RHBAIyYJ+/ZSMBbLcGNMKW00Gsl8CgBoyStLe3r7JvUXQh8Ml4Zdp4kU/az3vT+bST89b97q1asxxoadcr2gUa/blkEpJarmeFHEhKYQBcuk+cbhQZ6U52FC34aSeYKEd2AXomNObYw1BL0h5SpTHIxjGk4fl/7+N/+px1Y9p3nFVb+/Y8FIGRI9leUCu05LLtEUK+BIzuxyOQ7c3sZmpQA3VM2SnLLyrzRaTSCVtPfa6QzXdcd6f2RZzrIghK7j/O+fbu3vH48ByFogm81jRYOKgRR1xv4HrF+39sH77yuVKkDRmp4PAA88x222AMAB5bqRajWakUdTRqa3e1zijtot6NKWcKzatYuxd9SdtgMSWxrjeGh33AHg+BHB2FJkBvyoKZmffedLl/37z8se+tnNDzr4oosO1QwGhVPBuohwKsRSylp6pFHV6namQaDQc+J3FSzOs8tDLyv+e617SqVSlNJqtZoQsnue99BDDz308L33P/iowObqte4ZZ5zV35cSXFu5etkf/3jH+nVrWrXytdf8plndeMD0ca+uWFkrV5575pnb/3xrsagvXjh348BQ+Pyzf/zDzWefeWxvX04jhqzwwZisF2AE5WyOnOfcpdjTBzS2J8aIh8asi0OZM4pLSQzQIKWrASAPvTz0zz+6en1ozpo+469OPeSDx43rB5z69TKVaXMbUCwT6aOEcm3iPnnmf/2rX8174smf//JX2WwhCCNVU1otP2XvnRJPlNKkiYHGHBrJeEUQOpoKyrVGKjUOYxD4DlEYkZrCytBg0NWTLY80snkDIdd1/ZTdI0NiSlWV1ZubTDOHcC6MACJRzHoTr5s4kbOjqI5gBIQlx+N36fJp1/vH3S3eS7iH2o/H6llyYh1DEOmAHjK58OPv/FNPxnx52Yrf/OmhRZvACEdMzeQsw4acRkG7k11GfVLFUJ53WV/ilFLXdbO5XK1a17S9NqeXYKx/ihCS2JLsslMNDnAuW1Sg7PvSdZNgncvWZNzTnUUcFLvS8h8izbRzImaPUonM8aRSXRgrUAANA5xkfWQ6D8sYWw5wYikgtBvEex1zegdwxiT9WNwZFIsViqIB98upX/nUhQVVVB3///30xpdGQA0gFUKnsllTNVm1gkTIqhcCMvmOgKIAjDVNS8dDuLqu+jGFn7GXuqa3QtySLOl1YexcoIzToJDjapK9MFFTjdM4ceNr/IIYkMUDAQlDW/LMFuz0IDHI3SFw7pjTO4FGSf1XIOxwhQHFwGJyGnx8TvHyT57l1uurS94Xv3f9xgiUyqW0qTABfIFCgACS+k8iiT0gBpw3Y4RBoBuGpimcgyja1+TSUJw7iBmV45hayJ5J2e8vfxlbVNxOiePpz9c6nDkgXHK0tZ+TsguvdZbJcI8DsstdU8ec3gGyl0JObcgWW8FhKKAvmSqFwr0MoJecMv2Ll1ykYlALwMe/8CNgFSnUPYY8CgIaqwbISe3YRwnBoiiXy02YMCHyXxOt2QcXrkxK0SV8ULIRJbYlLO0oMTD5pOR5S7RMkifjH1HbnKQ7kjMw7f/H75OYX6zO9RqR6C5Bx5zeHhzHTS6SuTJeB3EIQgZZFLDmCK2WvvC+Kf9w8ZmsNoQ149Nf+++VjhGQuNWByM7apFUvNieANePkk0/+2Mc+ZqXTnLGWFOeVI6hgXwLfkkq5Ddns3y7G8tc5H2lPo3lRlsgWC0m0nPwrWWZv8+HweAAn0TXurJ12byDQnlnCUsw9LsVjwrGGsVJIqUrL/dRp47/9txe2qiPPbwq+esWfVo8AT46WSu/kRpKOUVJZxF0wk6ZNO+SQQxKnROSsztjaYB+CSLoj4yFLaR1jM55SpVsy+MoBgPbL2py+Y8+0/5X0QZKfLZnUBDw2qYRN4J2kvnc0Oub09pDRWtLPgmJixUSElxFDmEUAYM4fGBeVLzl+0kfff5I2dc4dS5rX3fHIC6+s82NzCjmgiQw2l7OG8RUDAtfFGOt6IqKxrw1ogPb1voWTem352LaLto1t8TLY/sXov3rtX7ejwTaNAdjVQFt8o87+zfft1LngPApEFCbhRrXpAaxgHbPShjSr//3HTjztmMOmTppw4//+ed7C5ZsdGezJDvX4FEdR5PgBQEiTQ7tSz9rzAwiAoZF960iCtnhCvDiSUhowJqqM69lJckGaxhhJQfIyAERMFt9+TZwD5LjN1yefHJ0VEKPV8x23fwcQ6S5fc7md/V/uk7MmpW5wkqpNRD4tTeZvzW6E0kAxexD4x/d2zcBd12wq/u6+p5bU4Lf/4fR+BNxGTUubuqFSwQVEPHSIrjdCqhsaAFHoNVQj1c5O7fpvuhP2QFKryNEUeVQR5BpsB9Rj9MmyJAVkcUJyecR3ewy5IR/J7F38o4y6Y5tsv48O5PQYbkdacWPXjvn8sad8bbk72pM2avlyx/e5eGO7IBE7S+hTKKXJzPbGJv3Zn5/602MLA2TMmtL308s/0E8A8hoqgVAxb/7j/7700ktf/epXbTvte83QqWdTNlGtLalPO9i9IWvGiSLim5pTskruYJuh6WYQBsnAbUgDLwhTdiqfUj//8ZM2l6q3z1u8SiFf+sEdP/36eZONtFNaly3qQ6XyS2uHuJFWAFUN4oA01Oy9uKl8L4TM7/7FzS85gXHViyQJ/iTa6Oy3fo9k+hyFFBACsGJEwnMDyhWiQ/Bv/3gBgOixBUvXDhuX//j+X3z5zGx+vOO2NII1M00haHpe2lB0w47iiGa0FtnZg918L2nU39bc0G4SU+9xe/kAYhTT+SEM48lTEjGZygtc8OMvfeDsI6ZUyqWlm2r/+NP7SwgrZiZo1dzqEI8ANlLVQFJAAypbjXb5d+nsxdbtRxWS29sbfVQilpg4r85+m/aeFyoy3ycPo+cFSZ5JVwANQNYEotX83pcuPnH2xIH1a17YUP/u9QuGImBmCl22Ysj8OQggkW1IsT7ELv8unT3Yuv2oFb05HYgkG8GyQNLBNsNQAYI0ZvYTkPsspKpuCCG9vQFASmOVodU//8qF//ijm+57tXXH06+mYJClRkqDJq2NBBbRDQFo5PuqHndOdLAnIF4XvbFSPHb6eKwIIlmzO9hmQEhjmh60BfNoEAkH6YBGOdCQGgOReKWKv/6HRfc9s2ycBQ7vRWzJvXfccp0bYFVPQe5jBJPsawd7DuCoOFU7sEg4hhMQQDvm9C5B5MFkYAuaeQ3K7qOm7wDTBFEL1NfP7p74rxcfF7Rq85YOvuqlaRUAqJHmOkINYHdLSiNO49JfB3sE5IyV32jp6WzoB4qmcwG9wDNMK1lZkRWLntvVH3HvAYdA1cya6yPdBl4Njywv9vabqWnnHtpXZfr6TUOaPeHme588KOOpwBd2X8gBjnzcMac9BJJsnuh+QGcfdHBImWqYCCAkBxzbWQqitwclO9guQIL7tgIUVWDFZnwcE6AXNd5/YD/K9v/0xo28Z/9r7l/wHx87BoaBASiLQlPZDejhOtg6CICrzZobMEpDhSijRhSvmuI9KebyHHIkUGe/PfZxu4s8uJwQjRRmRJ4DgmaaVc866NDlRx1w1/wlQyF8ZdD78InHRs0KBgxKjY/d4ZN39vwd9wwiohulWkPXNT7abYSQXDsl90TC2lPGnW07bLI6gVUVcdoY8pnAufHQLMhkA2fZYPOnTj900bLVlVb46zueOvI9x+WhZ9CmTJW357g7G9zdNyEwxjwKAaOIIM4jAQUmkkSpvXZCMeVVB9sLfkBN2zDSWdcPIskuhoWaQpy3aqX9po7/xAdO++7Pril73jV3PPaVi09uVbysqnZqFXsQhNtKdI2lboS0MQkWa7pJ7xSxTqJ2e4KHoSu1ydPC5Cj0mBv4Qgk4BqpZKpVOnD3+sem9ywadh+YvPv29x0wvTPCCEY3LydwO9ggoioJG6WcFl//Jjncu5NzNKBVMZ9s+GwAgm7FY4NdbgU+lGDICwrKsTCZjqopT3jyw9NnPXnwO81sUatfdMa+BM1RqfAAGMZPsVmM9ypBCJUJK8iSKBQQYhMmPO3CL/76A7c+TNKHFv5LiwmD0kyQvjkfSOYB0tEUAAiFfFm/yreRwbHt77U22/CtAKPG4k3xl/G+l5JWQb5gcTPlKhjhD8i/GNFLJ8UmaErZ8WyX+bfvQjf2J171SfinIRuPqLZqEtu38QiQ4DVkQAMaCIOBxC7OCY+GBmIq0k1jabpCkEJFvaySKL0eopgDkKPQR8HTIbrr1d/fNnf+b/33ghMNm3/3sskXrqk8sK100BdeGhrom7t903HzKDJp1z3fMTDEQBodI4SHhgcZ9ASHFWkyORXdkYl0YOi7XW4zYKcsIKwMEIjvfV663AKdpU0OBq+v6prpjWikdR2HYIioWCAmhxTN+qry65G2aChTJe0KS+xIKEERu8nqkADAEKZd1O4MDjpAXL/QNucctuaeqJHYFjCEmcCBHmaiGufzuAMq3FYhFlCOiMYohICo2WeQL5pq24QaCMk4jH4pI1xRNU6VeDaMMkrilLubtEJL8OlaplLlvSayz1edXCK4pBEt2P6zpOodqO0XefkEH2w9QnieZLEeCQyFbzgUgEAgiQswC4damTxofNKofv+i8lKY23fCOBx/3iT1h/1khZQgyp1qGgNpWGhCVQ6mWiORdl0kqJUmMgOL5gB0IBECzUTNNXdG0kPK0bVqmVJThXGQzBUlZzBiAIJPOQYIZj3QVoVhVKZFZAvLejWK/E3uG2K626HCL+VLaPk0OCAKBkSDyjiOtLqZSkV82ks8kLF9t55Z08McsovKfMwioTFNDRgWXPPByyghCzjy3CTHSTCuXy+VzOU1VaBQEvseiNntUosKQpF6lUW1Jf72Vh0gKOCTftd11NHboYjnZDnYAkuhCjt/KQA5yiCLGU+nsyPCgSkBfl3r6e+cY3F27euXdTy+rwFwURVlFKNzXVRXoqbovz7HKI4UHRMgx+ST02jlULZpKCEIskrLZYRi1Wi07lRoqjTABdMN0Wg6AClEMARU/lDLa8V17tG9t1N4TDsrX369jHohE/Sqhf2gThMkCQ/uxfIBGH8D4bUftU7LtjdH0ISaPq5Rql3lqTomC0ikpyuY6QbPhNRqO50Y0YrGcKlEVvW2fydkZPUHbHR1z2t54/SUv4iWGZF0UcohjcHDQUEmzXH3fiXMOmtLDqH/rowueW1tXNF0RkSIH54VHQUhliE5EpAqf8Ci+4JJoIpkV2HHgpmn6vh+Lx3Aas2oqipJKZTLZPCIqUNSIwYAxz4+oAHaxK+ZwRfEQKpIeue2U2l8+/t8bLGrLG3pSXEgMZmwBtiW/16icZGIMcoHUXkElgje6ZqiqGsu6O0Hg12uNrp7+TLagaWkA5Qg0RipAmMX5tngBtGMv+I457QCMXk8CyOQBg0SmELBaqTcmT5gQObW8gXstdNqcmSDyXq2KJ1YMQy3lui4WLAxDL+JGKo0FVUWg8ADLNCyW+aM4THpNS3vHAAEYuF7C0i51OPN5ysXLS5Y2Ws7qNetGhku6aWlWGqlGpd7yWl7y2WJmvDFsKSASc7W/yWXWjuXi18Tiq8mPMlYcndCL7QpyDIVc38eWIBdg0kdBkM1mhRCO4zmOAwVNp0zNNsIwvP+Bh1e8utYPGcQaF1jy5Ii22vdf3O7efM7i/4KOIM2OQhK3JLylHCAFK54fmqbJowCHTRvqx86a8NTBM29/ufrIghXnHGAcoBIrbUUh45xL+hERERHKRYWAPF5xxKmlHeqaJATgiqJgVW35rsDCq9WeenLh8jXrXccniGYV5lOmFaf81ac+2ds30XcqCKmxExpd1SUOKjGGMd4EaQlbJuXG7uOjj+OkwBbPJ4h5KtsOKnlPPGYA9XrdC2Haytv5DPObg4NrHnnwrpv+eFupZV7wob/60AXnpLuzfuALzlRdIwphlI1a7A48eh3vtJ0RXy9jiVp5hBlEHMlNN41yZcTUkF8fTqGox+AfOvukdDq9ZM3Anx9bUMc5ruc51EwkgF9XRCTFLAGmSE0mahCg8Tp4h6+fNE1L5K0YY48++ugdd99lp9Nf/9Y3v/b1b575vvcHYXT3/Q8MV6pY00IuF3XSO0EZ7yVp8fbXlqv2JE6TapxbrCfbDQRxOjvONMgHyb8V7WR6+2VtdxT7pdjjtdODsXfK5wghjuOPjJSbzdq4vu73nXn6JZd8eqRUxdjIF3q0VI4QFWMVcOE57l8uO5MF2/ZFx5y2J+LLYktbei2cYAAiosrxKAzHFdPMGUHOyKwJhWMOnq5p2qMLV20M7E0tVPOYqQidOaMZCCWSQmAoPvUC7/jhKCnoxiPP83RdxxjPnz9/1apVH/vYx6q1uud50/bb/6IPXTxr1izOQLlas6xUvHZShSQdSdBmxovDNoJ4YkuJhm27CtReL0kklhWvndpuLTE/MLaOah/NdlhIOJBHAwBerVYBgtlcwbbTEQ1o4FuW2dfXpxomwMTxoma94QeRpmmGIYUP46xjEuntQA/fMaftjIRfeyyIGU1ZycvU9eWaJPBcRTDMPAuHGm189Iw5/XlrbZ1ec8+zJZhHqSKOPMWvKYJCiCgyKNIFkgwtUiICxuO+OxJBEOi6zjlPEhKlUikIgvnz50MINU2jlNq2fc4552iaxjmnTECkAaxH8aOm29Q0JQxDJIDTaqmqZlm2ZD6O8/yEEA5BRAPTNIMgIkQFkLechq7ZQcAwxlEUCI5N04YA1Wo1wzAQktK6uqLahuF5DqUCQVWmxRWCFYVR0ai7rZbb1V2kzJdsfRGHiASUaYYRhJFhmGHEXNclRDIkvgGxus27uf7boq+JuN7rg4XO2mk7Y4szxGUZqr1+4EKII488csK4Xk3TnFZDQUJTocGcKanCsQdOu324umBN5ZlXh06fWejCdVnBj99KuiaIiAh3wqopgaZpraaLSEZTFOj5++2332PPL//ud797wQUXnXXayQdN6+/tLsJMH9IUFBve4Ehr5arVK5YvKZcGjjzs4P2mTirk8gihQr5YqzWIqixbsXLNmjWvrlpRbdQv+uD5s2ZM3bhxY1dhPEJo4cJnV65cTbDhOI1jjz+s2JXt7Zk4MlyGEI6MDN1378NTpkyZNXva7bfdsnrF8r7u/Y465H3TZx6g2KjZcrFO0tmuwfXOs08/Uyu/3KpumjFlPy3VJxOMsS+D7UM2dtzkYDoSnCe8mTsGHe+0PREnneRiKS5KCihXO2G85xCKmTNnnnzyyfFtOMIYIyB04fepzfOOm10s5EZccctDz9Vhqh5CKQwFSHtBEkcpO+18YYx93ycxIIRnnHHG8cccu2HduptvuPFvP/eZK37206HBzYZCeBiYqjqwcdMdd97zy6uuOeo9R3/hi5cuW7H8sssue/HFxX4gBe0559f//uYf//gnAKDLL//aYYcd9q1vfWPDwIa+CeNrzcZ3v/dft991++FHHX7W2ecceMghP/vFz353w+9cOeJqLV2x/O777v3+f//wySfmP/jggwfNPvC8D5y9bv2qb3/7Xx99dK6Vz3PZCqGsXrv++uv/95b/vYMQcu657+/r63/4oUdjpuaYrHmsf2gswtxy/fS6dPx2Q8ectjNkJ4Tc5GMsWLIhwGQFRFUzuRzlQtEkb0sQBCqKUmH1gDw+9dgjVFV9ZfWmxxaubOJsQHJU5ogF4kz2V8b61/Insf1Xz2+EgIZhEEI8z6OUHnTUUZ/57F9//vOfd70WDYLfXnP1Jz/20UcefqCQyXDq33PXHT/92RUfvvivZh90sO/75513jmUZN9z4e1VV6/X67bffeestt37owg9eeMFFjuMcffTRl156qa7rlIbXX3/jvHnzDjv80AMO2C+VyrxnzjEf+6uPPPzww7+44koI8YknnvihD32ou7v36eeenzl9xkEHzz761JNOPOn4oaGhJ5+cXx0ZsSyLUnrttdfdf/9D7z3h5E984hMzjjpq0qQps2cfKAUZ4tuPDDCT1Eib6FwGC39RCH+tAL1d0An2tidiHbCEdVvISC9ZOMn4OllhS5ryOIwjSYeoCoQlWqXK+g+fMuv5F15ZFeg33PnIsTM+qRvEDiuK8DTuxcpFcfNrHDdC2bazA9dPEaNmyna5XERZWIomHnbIwePGTzn/vHOv+fUVS5+fV67Wr//t1RiKow/d/4l5c4vF7meeWzj/qceyaZIyccNpZDOyhuY2/UULXwiCaPasg+RiQ6ADZs2w0koua23YsPHPf/5zV7HnlFNOiqKoXikVuwqzZ8+GED7++BNnnnEORD1BEBiGkcvlDj300EptA49qM2YcMGnK5CCMpL5wCg9sHFiwYIFlTj3rrLN1HTUH1tp6evbsgwS8JbGidsfFKCei/G7JmWnjTath/1d0zGm7QkCRVAylR+JI0NGSCucc0DCqhLVUSl5tBlYUw+SBh5iXlY2e/AMnz/npTfeuKbXuW7Tmg8ccoICWyluKCDlAPjYoUKRoHwAEIrgD56OQ57VsTQ/DUNMMU4tWLV06bsrsQiGXTlk//O/vL37y4f/6wX8/9+KLr65YOi6Nlr2ypH/mCZdd+uVcBnutERbV/+GLfxe6jgjBwLqhF194Ydq0A8aPn1gqVZCGSoODhULBc+u1Ws1peeP7jSDwurp68j1TqoMbFUXZb79pz85/ddOmzTNnTy4UCgjidCpTq1dMXTNMLECtWq1Ombp/KpUKw1q5XPZcP5/P6JpVLm/MmAaxckODL8Xfgss+2raKTdKxlCyi4npDIhEkK3sJu+t2PXzb9+06eE0NWTZEymZNuXaSsg7RsuVLHnt0LuNCUbVIFmcVGXzQIG9iVlp16hGTZk+frmf7bp374gubWiHSZNcz9wj3pDaYdFAqa7ca7UBgjIOQRoxhRanX648/PtdxnDAICESl4aHDDjv00i/+vULA6lXLFSws0wACNh1neKTMoWxHCsPQd1xKKYQwCmkY0GbTURSld/JkznmlUor53P1UJp3OZiBG9UZjZNNGzw+GRgZbrqOoajqbAQhCjBqtJqW0WCwCwOv1qqYQTZUpxyAMKZe5O+kCm042m8+k0m6z5VeruVyBQ2lLIt7LFpL2kmlMVOYNGZ3tHDp3zGnHAcVdEXHPHkQIK88/t/Duu+8Ogsi204wJPwgBxBFUPLfVZ1HTK3/0/e8VYXP5xvLTKwY8bPnY4MjgSEGAYhDJMu4Ozu9xAFLprLyWZcdeuGrNuqfmPxuGoaAUYaHrOoDIslOWbfT19HZ39Y4bN+7VZS8Nb15raDhjmQjAZtPBiqFqRrG7q7dv3KbNA1EUIARG1q2JoqhQ6ElZmdmzDhnf17969Wqn6dp2qtWod3d39fVMGB4qZzOZadOm+W4QhiHBiCi4Wq0SoimKETHu0wbWuK7rguNCtmvKpEmMu6vXLG25XjrfzZFSqpawoEQ2lLCkRhd3zSYzUaO5h9ctn8b6w7cPEISdbTtuELfb1JCACoM6Q6bcoM6BiogCuTA01XcdKVKkqAJpoZ4XmqlHtV4xdMJkfPZ7DjBM5Y/3PvzyQKOm9ZSsiU2jOwrdrCFE2FCInETAUihga7dt/PxYQC3wQlsjJiEhRRsGy7fedovnNjAE1XqtScXCJSt0XT/m6DmTD3/PiSedLKLaY/f9aWD10rDlQIGWvLj8iSefbbS8bLHrnAvOc8Pmldf8MpvPdnV3Ow1n+ZJVjz04v6tv2l995K/cljP34Sd4BFO2Wq8P33HrvZGPP/vXf40gy2cLbtNTCRfMM61Uy6Gp4pSWx5DWangbZM4wUieO2//kE070vA0LFz0kIG56wINo4cuLUdBwhzYE1VJPseg2PD8QulXwIyygImdo5QaTfl2Z2ZFVd/nz1m4AJ9p5Mg0fV5/a/xsFbGx6ZXua5z6PtwrGIYTXXHPNc88996tf/SrRI9Q0LZIdNhgEzQx0KTY2wZ4Xa/rXfnV7pemdMqvnm5/7YDS8er8uXVTXGwqO1EzLDzVEtslHbevdlzG5MBNCqKpaqVRuvPFGznm5XJ4+ffrkyZPnz58/NDT0N3/zN4fPmTOyeTMA4MGHHrnqqqu7u7vPOOOMoaEhCOGZZ545bdo0Smkmk7n++utvvfXWdDp9wAEHpFKpUqn0t5/7vBCiq6tr4cKFN998c19f35FHHrk6xrHHHnvWWWcRQp566qm77rrriSeeqNUrl1zyiQsvPL9cLt96661z586llH784x+/5JJLGo3G5ClT/uv733/mmWeOOuqoTCaTSqUIUW+77fYVy1cee9zRX/7yl/fbf1qlXEYIZTKpZrO5hV8ai/1kYXzrQz4kBA9aazdsPOioY4CR5kBlUDJG8Fi3TZbsO+a0C82JMSZHbqEQfp1DxVdzUW7Kj/7w2J8eeb7lRz/+5hePTQ+PV10OoB9SI5VxHEeVUvI7MOQLw9C27Xq9bpqmruuu61qWNTg4uGnTJsaYbdtdXV1JS4RhGGYqVSlVUqnUK6+8snnz5tmzZ+dyOd/3C4XCwMBAoVBoNBqO4/i+H4bhuHHjenp6HMczDKPZbDLGTNNct27dwMBAV1eXYRgTJkwol8upVCoIgkajMUVGfW6r1Sj2jxvesMHzvAkTJlBKpWEAYBiG7BVWlEaj8dJLL+Xz+UMPPXTjxoEwpJqmdXd3E0IqlVIsaYcrlUomk4lPQ3J+XjuA29ecZKlux5yXDrYKNPAz3V1lp8kEL+TV9SOrLzrx8GdfWPr8puCWB548/mMHu27JyhYjGjIvVFUT8mhHlvWBVNbRddxq6bpeq9UYk0rp2Wy2u7vb9/1UJgM0rTk87Ps+Y6xWLkOIhBD777//pEmT5KombiZyHKdQKDDGLMvKZrOU0igeRkxaliDMBUEAANfN4vjxfZZl9fR0EaJWKiXDMCzLsFMpRcEDGzfquspYtHHVqp6enu7x44c2bIAQ5vP5svy78t3S6XRXd/fxxx/vum6tVuvuLjYarqIonPNGoxEEQSqVMgwjnU63r/MtJmlHH21D+uAdj3snFbGLISu0lEHNUjVduFXFK83sNc485uB8Pv/4cy/OW/AKsvIhIIgoISAcK4kg846DVMVuSe4roiimaRYKBVVVNU2r1+sY49Lw8KaVKxFC+bzsJMIY5wqFFStW1Gq1XD7fipHJZGSDoivzexjjZrNZq9U0TTNNUwjR29sLAO/uH9fVVVi/dnUY+uOnTKI09H03Hl7UN23asGH9Wk1TdF21bbNn3LhsNttoNCqDg2PGmclkOOeT99tPVdU1q1cnbqparaq2XezpoZTKTKCmJCadfPLXf8sd0hIRlzE63mmnQHI9vBkURanUG5adJoCVN7w6ftKUodrA2e894tGlwwtH1l93x9z3HH5wOvQNQhDWg9A30Ota1rc7CCG6rgdBUK1U6vV6oVAIQ9nbbtu2rJ9msxjjkZGRMAyz2azruhvXrz9wzhzguoObN2ezWVVVS6VSFEVdXV2VSkXX9WJXl+9JRFFk26brtnzfbzabGONMJqUoSrNS8jxP0zTbtsPQT/4EhNCyjFqtJlnBCTFNk1KqqirnvFaTtTvf90ulUl9f3+TJk0dGRkzTnDBhQmlgwPOCXC6n6zJi9DwpZ6EoMS/A67xTgvj5bXH1He+0u4PENVPZwMdlqQcoCvOaE1PwojkTZ/YYS8riusdXVXw53cEkq5s8oWJbtm1FqVTyfT9fKOTy+a6urlQqZcfgnFuWValUyuVyd2+vbdsjIyOcc01TagMbPc9JpSzHaVar5XTa7u8fB6GwLINzunHDulqtkk7blmXE8j2KALxQzBf7xzFOXc9RVEIUHNEwjALKIt3QgtBft36t58tW8Xw+n9izjC1rtTivkIEQZrPZrq6uZrPp+34ul2OMNRoNRVG6urqCIBgZGRGC5fNZXVdlon/sXjY2dLVj0DGnXQwCgaEqke+1Wq1iT39teCRt6V5p/QeP3X9qDucnzbzqjidL3A6Q0Wq1lFgDZ4eir68vDMNatdqo1+PpcScJ26IY2WzWtu1apeJ5XiqVwhjrug4hTOq2WgxKaa1Wk31GrgshzMWIoqharcq5j8ArFAqVSmX9ypWpVCqdTtfrdVVVjbgsizFuyckOddq0acn6J5nUMAxDctGMeicAQLlcxhgnUaXnycmXVCrFOW+1Gum0nc2mPc9rNBoYY9M03+R77hi7gq3NS7fvO+7jeCuHIITYEK+kx48fL9f0cbgS0wa11dbi9lYk4vojAlzVzUdW1D78Pw8ZXZNOmEj+7W8vTPmb8wp1nSYGIlMotGq1KIosy2rFaQPZxfRm2OEds9v4+jAKEl8nx6UoZYwRQsIwTKVSURQlJOByhDFmVlEUJQop2JHYpuODhKBe420yex3vtJNgGEZXV9e4ceNSmYxlWVEUIYTSKXuMV5VBQuXgLSEi1Lg38OqLh0zt/cT5ZwgWPfbypqdW1RgktdKQbeiMsVZ8+09MSAgRbSHZtpsDY5w4Lt/3FUXJ5XK2bRtyOrAt2xeGIWNMVeXksuM42/wH2kMZW4Ptn5DomNNOguu6mqYhhKrlshQdjNNicqkdi1QnbEdJS57KA8SDCdNnIsAuOGZ/XN8AchNueHgxJ2Yun00qsxFnciJVVRgQkGCsKm2qutdvOwPbSNusEFVVNNOwgICtplOvNWrVehhEUUijkEKAFKIiiCPZlydURXtXnynu0xvbXodRprEdk9zrZPZ2EiCEqXweRFGtVsMYq6qKFSXw27dkObgRd/fHViD7Eioj1fSE3gNM7fMfOftbv5u3EgS3PvjER4+dRkSQrFIwloPfcRlHBkXJev0NiJuddvQX27aXB0GgKIphWIqi+H5IaYixYhiaksmFtYrvh6qKESJB4AkBdV3dNscba0G/prD+Jh/xDY8hFHjriWA7mb3dCLWRkc2bNxuGASGsVquh7yer5KSUhATHbf5xKKCS7u4fHBoJqwPnHX/wnOnjaKv61MtrPKufEk1VVdlOEY8VJmuMN7Wl3REC5nrG1WqNxx9/YunS5WFIFUVSo/h+uHzRCyMjZcZEFDFKuaYZiqK5rlxeviu8PYfejqo7ya7NDnYO7r333quvvrrRaGiajGFarRZlnEE5HdgWLBQRkrM6hCIFIuK67uT+cdCrnHVIP25tfmlD7eq7nkJW3jAMxiTBpRBCURRd15OegzeFdIu7E37y3//91a9+/dJLL50378lsNmva6Vqtds89911yySX33/9gXPUy40FgTgiJ6cniptVtQNLVupXY1jd/B//U8U47CbZtr1u3buHChZJgVdOKcUkHYzy2ZCIiUkSEBA2hFkK9Win19xQff27x7675zS0/+sqsHB8JlIeWDr26cSiIQqIqWCERo0EUIiIbx19jsdti21ngW7tBcdllXzrt1DM8N6hW6tVKvTRUyueK43r7kVS4wDheEQKBwoByBuRIyLv8PFvgdbz8W2AHECx3pnG3J7ZYpyS0cq/tfT9Mp9OFQpdt28MbB1SVaJoRMo6w5CpK5g65DBYkaTAA4MVnn/zNdTcs3Vh5/wcu+N1Pv9vSe//+ykfXbRx+bNHq9DEzJnRnBQSbWw3PaU2VjXJQyFOZJCAkeVhMbynpIGMi1W2GVINtf4vELMdasGU2P/6qCZMmh4Ilaw8hCTpln0Gil8MBBjAhNZbUlvF3lBzmkedm0naqkO+ZPFmzrNLmzcUJ4/ebNu3RefOCKAxoxFutlK5BhAIBBcRYsJjoEkr2z+S+w0Op1yiVaiFFUjszFulJyP1imQW5Yoz3r8vGvIEqXfKIge0NSUW/3d90H4c8iZKHEW65D0NKBWi0XC2dUXxKVKzqplevKyoOKWMAI8WsNZtLFi985L67Fj0zd0Iu9YW/+fSRx5wg9Iya6V425J04vXjn3OdveoxOOOiE4hS75oMvX3XbuJz9X58904QiiAmHNam4EcWMFShOu7fpGrceBEMaUEKUMKBS3EU3W16LqIqhK0PDmwtdxZCyIGQp265XGxlLZ2HDzpm1gc1aKkOMfKPR6LEN2eDDcCptQacqy7K5PoG1Rr3albJFecjWCDXtEhMhIIVsHtQbhVTKBbAa0r5cOipVUBiQbD40U8PVcpFwAwougGKmaowErpMBzNQBIEoQ8HIA0rk8a5Y0JDzXMW2r4fiZYtFtOYzLKpBhGMPDw0mrRLJAHf2iYzzyY9IE7wwoZAgqV61MUn4giGjCNzZ29LbhSHewFZC+JTlTbdGH9h5jQCM5STqwbmM6neaMDw0NGYbx0ouLh8u1Ra8sn//M8+vXr588sf+D7z/tn774me7uDHDqQkSVeqkc4MmTZ3zgDOPZl1duCo0/P7Wc8elPP/v8Wj+9cXU5EBqOuCBaPLghL5qY9eXdVXD58PBwvdJ4cfGrfeMmzT74wIcfuWfhi89PmTr10EMPP/TII554cu4zzz0d0Gh8/6QPXvQJ6jg6Vlizle3uooGY+8yCxYsXY2dY07RTz70YEZLFMJO2Bx3viWeeWvT8c6aIPnLaCU696gRRqeE5np9HiNZrS15d8eiKNVomfeax7/E2bxx48YVVmwb7TzjjiGOOaVU2rN2w8qWXlq4r1WYdfebJJx5PWkFtaNPTTz894vLJR5yqlJuLH76T+xVbN08547R87/j7H3hk06ZN5fJIT1fvJz/58UKx23Wd0S7YUbrz1wLCbQj5Yo6+t3t9x5x2EpL8wdq1a//jP/4jDMOhoaGVK1fm8hlb1/onTT7o8Dlf/ecvT9t/Rto2hNegTlUyH1kFqBopoUcgva7Gakw95vRzb75n/rOLXlGC+twnn2T5A1DLqzV9S3Z5So22mLQRASj5VuOk8bbFMxAI1yn/+sqrnntu3UmnvO+lZUsmTeo+49RjfvTTn916632nnfV+VWcHHzS7XFr/79/9l5Urhj5zyd/YSpixUH1o+De//+OKwebnPve5WeNz999/72WXXfbP//zPR00fzxj7wU+ufvzZBd/+xtdnTep/4vabB0qVVtPPZYs9PT3B0KaXX3nhnocevvWZF2cccti5J52oZbMrnNptt91ypJI+/Ohji8UiDpsvvrjk7rvvrlDrqCMOdavVoFZbvXr1z6658aCTlpz/wQ9NmDAB0czN19/4299f/6FPfCqVK0yeOi2IoquvuXb9xg2f/exni3k5hQVg0jmCtvBR2xmdutN2xlt1KI+MjOi6Pn78+FNOOSWbzU6cOFHX9a5CTiPCCyInBFxyG0lacNVOQY00GhU5DeX6oWaEtg0I7pmcObE/c/ODL9SDaNGrmxyYpgyPy3avWLNh4qyCELHuq+ySjpUP23PXAknr2uoPD1lfb+6fvnLpRR/95jMLlvzqU9+ZftCEVnn16acc918/uXXmoY0vfvGS/j69UV5+/XVdixa/ZF3ahYMA59M3/vJX99xz/2e+/O2ZM2d5w2uOPfb4X173pyuvvHLm/7v89ttvf/zxx7/yje8cfviRacw+/fnP3XPPfeTu+W7Tl12IGBxy2IE9k8Zffe9n3JbXXejWM3p1xn4h85ymS0MawqCrq2v//ff3PC8phRPD6J006dxzz/3dn+72PG/KlCmHTigYOl+7cvVL11y7dt3Gvzv/onwmO/vAg++7/6GHHnn0bz//BdcPEMJxzo//xTnapo7yd3hxxzvtJOTz+WS67tRTT202m+l0WlXVRr2ctTRdVVTTDAX2Itpq+VhQBYp0rqtUrRV6Jw254E/3PLxi2NvUgvc++aLdux9HxkggRGZ8AEyGlVdWrDn1oF5I22QjSZ4w7h9jMQXSGL/+OwMJnrJwvQG0VGHajIN106wPrdeIk03pupVN5fq6uvuHNr9ootb0KX1PvVBbvXbzUQePWzr/0dtuu50jffWadT/44Y/NsOa4zd7ePsaiarl2z133Vqv1o48+2jRNA1HgykZYBakakfU3yvyAeRGPuvJdhmpRSSnuaAZR9JiGliMqOAOy5wgAkE6nbduOWhgqklszn8+rqmrbdrPZ5H7U39+v6PqEyVMmTJw6tHlQN62JU6YueaklVXQR09WdkcTueKftjLe5gdVqtUqlkuvt1XVdURSi65z6igJ9z3dClxNdM1OmZQpOmWz8xILobiR8KuqN1vynFzSANWXKlBEPhBwoqYLT9FAqXW5uWDPgMWgoMJBjsTKHlqytmeQVk56qLTm+VR8eCt9pEIJaAfUE7OrpIiwUfjhhXDcgaqbY03K8Yr6gAFeEAYQGB3hkaNhOZygHha6uc845r7e3t8cEoee4wMwW8wse+HOr1ZozZw7gXCWapHDhkZ2xs+mcoLLVMGXqOuKg0RQMKEClUQSjkEGKFAEYxxBapqVwWV5LSJ5lT4nvG3EJOxF0y+fzBSXCvKVp2tDQkMydOC7RtGqt3mg6AWVrN2w8+qgjXacZs2dK6nIofTh/d97p7dM6He+0k9BsNnt7ew866KDGyEi9XrcsS/V9IWAQUcOyzWKKC+R4vue2ZNsewS3XI4TUarV014RP/tVFwCr+8d7HnEYZ4zyEaohNmXDAUmFpfanuMJSN+TJj2hSZU8bytG9zLzYUQNeNjKIzRAeGNwZBYKYtrx61Gs5wadjOpaigrVZLlDeLkGcyGd3U7BRZtWQgiphh2kDE40zUK5fLwgDBgB9PBNLA81VVHRwcnNafDcuDlFIeUUmGByEDjPEopEHg+7FaM7RSKdUkSEFyDAwSr1Wh0AvDUAZqnAdBMD6fxygkzWYQBHldTovVnLpJQtd1C4WClU4JhImmmxbTDdNOZUzT3LJrJGbq3VErqI457STYtn3++eefccYZ6a4uSmkyyipHTVXdD2noV5lstsaaQmSdV3CAkaobGlRqzSpS0x8598RUKnXF728lsg3CaHoeMCwQBJqhrx+uV3xuawoRwRYUf0CSXsJt5YtFACkDGwZTWWPClN6W10wjaug5SnmxK11pDHmh053NgqCQtvIjyzdzxHw/OuSww7O5/HPPPec4jqYam9auHL/f1KYjuGCGYfT19W0aGhoc2HzE4YdWB9fkc1nX9+q1CuSMIOi6riCBlUoZqkIg8H3fsHlIpdRNFIYawaZqhq7TaDQ8z0umACGEreHhpIF4oqLI1SZUDZ20x+9HKhChRq2WTsvx4cHBwe7u7obTMlWNAyloIv1LO0kzluXbbuh0Rewk0Bg9PT1+fNbr9bqMVYgaMsSQiomaiJDH1BEBZ5ECOY987ta1qGlxJwP8Uw+Z9P3L/y4tWgptmgoAXlOShSHgQ33Rik2uvFTk6JSmKlDq3zDdtCXN3DadYhkeGkQx3LDkRRUAOEYGQJnAA81WybAZF7FsLrdGBuuCRyphuqVBCD/84Q9nC4Uf/eSnAwMD46dPX7ts2aJFix58UDYNXfCBczkNH374YceRdLDNan1wcBBxtmbl8larVSh2Y0VzPB8jyUID5bAJ6+kfr9upTZs2OG6TC0ldNHfuXCHEyMiIbdsAAMuyGGO6rpdKJUppKp2u12qFQkGO62KgKoquqPVK1TSMZL7QsqzXvuJoy0iitrp9z3LHO+0kJEIvjUYjub8ml0W92dAMU9Zc41pVoo2XKHYyxhQFIAwhoIK1NMR7DC4K2ve/+fef/eZPDDvvsiiNuBIFLQpXlVrvReOhBpDfDAOHcyjn5AmhUmZzG5rKBSAvL176+HPPr179SkD9558/Npgwac3LL91378O6KW6+6dcFLVBmznr4xj+uXTto53r+8/vf/voXPzdz6oSLPvRhrlp/uHfe5z7/d4dMyo/vG1dywSc/8bG+/vx5550zEpD7HnnYbVQnjy+2Rlb29U88/OBZz85//JprjA9eeEYU1H577Y3lkc2vcnj3XX9+7/GHjR/fddY55/3hz8/+2//7lyOmjxNh47TTTqtF4v75z3zve9/7x0+eF1QGfvGLX9i2vX79+uuuu+4zF5y5/KXnbrjhBk3Tnpj7mG6m5hx15AsvvLBw4YJmo3bDDTecfeYZM2ccMPotY6cU685td4o16A6v3L7vuI/jrZiGdF1PZrBN00w4SQghQZx1SrQ6pTSKLOTTOLvNoyjSdR0h5IeUC4BVDSLSEHodF5/f4H3z539oMMy9hqEpgGgz+9M//8cLekAdNDYbsskHBwIqVsb3fR2wuAFnq4AFp54DdLVqoGqtWRR2Uc1wx1fSWtRFlq9fnTfs/lQXHWwCSPycNVgpZTWCo9AyDGSkNjXo5s2bC9gd39/jQVtXFVFdDwC3+meuHxhasWzpxHGFA2b2CydY9Mqmrt4JE6b1NapDSPiCI8voHh4qCeoUChbRGIPqvKdXpNNZLaweOHMq52ju84vHTZ9jm1o6Gslk9fqmTWbXhM2hySCakiatysZWrdE7ZQoV6qZSpVAoSB+I0MT+vsHBQV1TFEW67tESextQ3rkkk/lWAgImPGfFqpUHH3k0tHMA6qE8d1JYHifDNd7Iqq19sw7+D+aEMV67dm2z2TziiCOq1apUR8eyk43GfW4Q8FgJStpS0guXEPcgJFfkEZMj3xjjEKrDLjLGj396E/ja//v/CPWqXhSkJ+Ut/L//8bGeqKY31+dSCoBkqOZws8uybOTVCd/anAQUkuq52qyCLt31ojRLp6yucLjiMse33Vx3plFphBW/PzMJcFSBzXx3AYRRq1KOQl+1spFWCAJP84Ylx7lZaDZqfUU9qJYqgZ7pGtes1wpZq7J5VffkyW49bHmRomsQA52gRq2eTmcxBAriQCXDQ4PdfRM2DNR1laRwqOukUWlwI+WrXcVsyt30iho19f7+5kgzsMcLTMLNq/I2MjK5xkjJ5TDf3csYi6KIEJIMzKuqSil9M3NKOki2ft6Jcbf1NubUWTvtJPi+P2/evJtuumlwcFDTtFQ6nejPJjH8qIqueM0msUoF8jmiSEWYQIQ55zB0UqKhNuv7Z8HP//WLU7PURl6l6VapumSDHyLFNFVAXUBdTcVIU4NY2XLrP6SAyA+ZbqYtYhRSGUppq1JVrbRupwCN3GY1axt9/eOYoK2gxWlQGRnYtHFdwisEMfICPyb0skzTgFDkcpmgWtIKhXwuy1jUM75n7drVuUJvWGtEYaNQMDKZVBQKL4TFrt4oajrNoWazVi9VfB94Hi92ZTNpgxBcHRkxDCPb3b1p06b1Gzfati3lOQYHGWOe5zHGent7DcuK6nXOIlPFqqE0q2XIItMyVARsXeU0inXRxg5vW0Rtu/erduaddhIQQuVyed26dbKuTwgQgnNumiaWRPQAAya1AqDc4iElJLAaQSUUmGMN6TZSDYRVgkBBo7CxQXPKh/Sj73zpr/Mm7OofX274jz69wGNCs03arIStasrSVCvdcIOY534bILCUCqgMl0PHx1iJAAea4oVeb994FLFaqeS6LQqYZqspW0ec93Z3YRUHgS+DOsswbWlIYSjT1oxRgpCo133fbTRqXr223+zZCKpyYUe445SbculoY2LXGm7K0tO2ksqZmWJxwoT9AVBZFDRqJU7DXNzAumHVqoNmzzBN0/d9zbKEELZtJ1SYjuNU4pxEduJEyBhr1goZW0S+Wx4OA69aKVmGLm9Y2wPvYE7b2Tw7eAuoqppKpSzLyheLURQlaV/D0GMd13b6YezFktIIKxSpDGkU6QFQfYBDpCCiIuqmeLPXYqJV60+B//z25YAopNj71KKX1w0MgsDDIsIiZFEYUS6Iuk2MEXLIAQNFU9NGWoe6ijVMSCSCVMbevG6thrV8NqfqCjJh0286rWY2m0vYiBJaIseRGW1JX26b6YzteR7OZBiPTEsvFHPr1q0DQYRVnTGuqMDQ5K1cCm4yTIjWalUp81rVilOrlSrNVjPknOXyacYYjceWM5mMF1Df981sloehms02m03P8xKS2mw2KwlA16xKpW0RhVgIjKBCcMa2NII5kxPyCS3HGOKJmI6+026Mt7l2ZQI8pquPgiAJ6wEAjtsAkMrWTDlFgbncpCie1KLEsi4rtU9k7pgGIaWcymuPy/kiGzKbuSnRmpwjf/uhM4jfWj9UX7KhubFBoZXHhuXU6069lrbi4XmZwEKvbW1Wli0H+9qvkdwSCEn+CY5CPyAKMi3N9euURz1dvYIC34+k5/Edw9Ryqawf0y9LWn1NxRARSA2CBIKBH0RBYJt6q1Qihi0E8113xszppdKw05QiaIqqQ4hp6MfVJ9mqACFWU1mAsJXO2oaeyVqcRaEfCAhJNud6XsqyW7VSxtJFEIQMhE03k8nYuhI5zTAKfC+MBMt394ahpINuuk5CdNNoNCzL8jwvSeIlFpUEfkmMvR1PcTzv1Okx2r6Q1f43eTqi1Eqb6VyqUi/39PTU63XDNjzPEZDZmWwYKKVyrSubIooYqWzq6im2vJqp2q16KPmBAQ8iL53Xq5VG2u5ymn42FBYLmvWN/eMzZ0w0Xzlw/H2Pb772vkWH738GAaLXVHRWKxqK5zVi1jEkUDIOKBuQYsUI6Ydi6WWZMo4H9AhDMikiJ3ni5zGBUegICBQCOAsDRgHSk3FCBct39TkFECkKEQJQwREUJqRAyDwkABALLjhXrXzIZO+gipDbalimDuRdQg/8iEOiaxgIH/BArmKIGbS4oqY9zxUiop6jynynwEQLGo5iGL7rpFWMGA0FQ2Y6PqRcgQ7GscZ9zBcQRAwgJYi4qulMfg6h6HJGM5nOaKfFRy2oTVvebjPfKsS9Jm+Hjnfaznib1a3rugmPz5iGkiJl9XAUBZVys7trAiR4uDSUy+VGRoYiz201q5z7nts0iAEY9vxmKmMzNRUCLQo8wEKTKBrzp2fAhcfO6i1kN4w4f3xosWdPGakERq7o1yq6CPHYtGzMbS5kT/XoSd9ifGOsuJnkjkdfIJVI4y3uIZBCcDjWRPrL6ydhj6FIJFlEaQpQyDncZEQ3+TH5o/EfUOKlolTOhjCS+tkCc6DIGV5Zl4vkFuc4OWxvACZcGpGkeorfVpbUQERElLj3N93+8iy8gT1tG0/vO3aU74CJ+Q7+EpaZYlQIDpMHQKAoZERDfuR7rjt+3GGh6wfQK/TmRjYPEqKGHi102aqdGt5c5ZGSt7s5GSzVS4V8EataABwsXY4V1X3Vbh45LXXW0QfceNvquc+uOf24987Od+UMqPp1LXBll3hcWMHSC+Etlg0cJUX89hXCY6Wj5NedS+Kt8A7m1+mK2EnYkqs1UWqJOVxRJpvyWuWoUg8pc4n31PPP3PL7myEFGzZsOODAWZf/6zdyub5whDqBa/QgzUz7gSCKIYQnEEdamrmUsc2ZHDj/xIMWLFiwcZj+/r4FX//MyYPRcF8qFVZHFEtjseQyQ4k0mEQyYigZJUZX57LwJV3Elp6ng21G5z60k9BsNgkhmYzsVEiIuWXzG4SNemtcVw/z6rZK/nT7nT/+2a8/eNGHr/z1r355xS82bNj4y2tuHCw3bVO3NBUSjQLiuB5AGGEl4ghotm4bKRJleW1WF/nAyUeHAj+8cNX9L22ukq6QUhVGWApUUxkfbVGvTEI+JhcdJCF+idWYZR15RxCS7DvomNNOgq7rBx544DHHHIMxTkZ3Ym0ySohWr1R1lb/4/FMPPPDE/tOPOProY5q1imUoI+Xq8lVDht2NBYuiFmWQARWrCiKYCeKHIooCgISKhBI4amvwvJMO7i7YyLRuvmd+mcGqL1BWLtklSUjSxNS2KDjKLgR5LGkuoEwgxqsmtsNZY/dqkI5F7RyoqnbkkXNmzGhpmtRWiYkmJW0WQQoDPrDYlb/+nwUvbvjCV75l2zZzXF0z+/rGv7x8eNmKwUyPns7roW40WtzSNR5SRGU7n8t8TCNVABEJFbhTCuDCM4+4bf7yV9eUHnhicPyRdrzcTryNjOKSLF+c4ZKNgkwW8WWii8QhX9LaR6WtdS6Jt8A7rSo7B24nQcpd5nITJk+mlIq4JSKpP4aBVFx+6dH7Xnlp4Yknnn74EUd5XsBYVKmWVEWv1XzVyJq5lPBrQ4Mjlpnmgnq+AziwzRTRtQgToaRUzU5hxJqVj71vhkXLacP439vvj8zCmnoUIIONcvfF1N2Jm4rzcLLfXFaikiGOpBzVWTv9X9AZbt/eeIvDmUh90VDCsiThPefcC1zVUAnni55fwCk75JDDBgYqBdhSmVutNV5esqS392hZ8A1DqGlyAI5zzJmta4YgnueRrNUIqGZkwyjUWKD4VQuIL3/sjK/+4LYQazc9uOiDJ8+uhqW8ig1FqVfL6ZSlEjIwVOoZP7nphVwm+qQ0UZzFllznbX7AziXxFuhQr+wuMAzDcZwgCIrFYhiGSTOBoembBzeMy6RXrhnYsLl2/e+v+c+ffG9almY16kd0YLB50nETCjlL8AZzWWFCZlO5nDEMQ1XcctlMpYCaCrjfpMjChADmVUb6p6SP26/76JldL62v/ur6P7/nPYd1Ffvc1lDoR1DRI0oVCG3L8JoNQBK+YskYK6u2cuSqE6r8X0F2vD7dPoa3CJYCP1y0cPHIyMj5559PI4YRgQCqGpm8/0RnYHjNuuqMmYd+45c/nDxzynhLG16/5qY//uEX116/337FYl5d9OjylUsXN3RnoDKUNrrOOOXkAyZ1A0zrVV9RCmbK8GtDkPpyXMLzNDf4wkdO/vpPfrc6FL+77YkDPne8pWRp0EgZCqSe4CydTlUrDWKpQmbx5P1UACIAS0K+ONHXuSTeCu9wx+kEezsJQohFixYtWbLk9NNPVxRFrprCMIoCFtZXrV0Vcs3OF/rG5fIZw5NEPPbS5Ws552edcuzAxpU33HTLl/7+sz3TrZFG6R+++E2/6Vx66ScQJ5QKQoiCgCciqKggneabG8DnR+43+6gDJ5S588iTC54+ZtYxM/KWnmHAITBkoYc1lUBGpP3I5B6UyT0OoOwYlPWpuKF9Vx+t3RTveGQ6/n0nwc5kwjAslUoJx1WSjYiiyLAMQshI09XNTDZlOo1yo+VuGim/8MqS9xxzdG8xtXbFy8uWL09lcyoBkPmHHHLI3Cef2jBSiwDJZTIwdING2VSgZqWiissg7po0sV5ed/7px1tEGJry5/sf21wXTFU9JktMUehzp6nLwQk58ztaiUoy5pgnRJcdvFt0vNNOAo+H1eXCR1WFEDKRILWMjMrgmqlT90sX843Q8VpetisdcPrAIw8PV8pf/eDXenI5a9asSVMnff8H/3n0CZPef8H7atUyA4iTrE8VjXgm9nHkEwWFEQDEECxSAp9wsF9f34fOPvkn1/xh8Sv1xSs2FI+YWFQ0xAhWVdlZp0uGZwFIPEKX0MViEQ9eJeNWu/po7bmpiM7daPviLQ54o9HCWCFE9bzANE3OgSqHFCJDs7FCZh028+lnFo8MlfvHj7/rrj9cf9N1n//iZ8866wzEoJ6xPvf5T9XKAzNmZDesXrvi1aWnn3lRrrh/GPmuM5wzOPB8wAw3ImY2F6LapvJw34Tp66r+h8+Y9ud7UhuHGg8/+ey0nkzPfhnqAlNTYqIXhkapG+PmVsSBiCdEYj6SziXxlngHorXOgdtJIIRompaMjiJV0oDJzqOGo+tpRuEXLv1bM63++Ac//PY3vv2bK3/9D5de+rnPfLbVaPKQAS4OOnjGe447srtr3F133n/YYYd99OIPQcZ1RTV0BQDqNJtAVQ3dGhkpWZlMsbvbaTRVHkU1/ukPvZ9o2uPPv7xi3cZAgJbjyb4IrAVuwGLGORx3ZBNpXVIHUU5ZdS6J/wOI6PRo7RRIjlbAXbdVLOYblZLUpOGcqFqj6aVSmf5xyjVX/mLDhg1RFP31pz42fvz4MAwLdppTUa9W8319fiO46U+3EC37D5d8PJWxa/XBdDZNQ06xgS3ZnC5gmLd1v96MI3iQ0ZAFW6cdOfXeF467d+6T1950y/EHTdw/lfWipqnYAeYq1BI9KCmeJIWucYgMCoAKondBH7uPQMS3RTnTGSeXYnUaWRKPNwGE6NSddhKSc2AYBlZV7PvNZlNyvmoaQUQIJBjLpG1j/2lCSNIiQRlgvDQ0bJpmvr93aN2a+fPnT9t/lmz5I4SzMG1AEDksZMAwgIKgLDtJgv9RUCLVCEOd2e89+ojnX1rGw+DWO+/70iXnR1EAKUKaJXN5UmojzkbI3vK2/BEfm6vrYNvR8ew7CYyxer3eaDRa9boZQzJ0MyZn5SgNowgTkspm0/m8bhhydNe2U+m0NB7PW7Bw4ZKlSxvN5mNz586bN+/xxx/3fZ9SKkUm4m7asdGPN0AR0YmHqicedkAUhg89+fzzyzbibE/F8WUfLaBAtkKQWIpX4ZLWPCIi2HqWrA7+Eh3vtJPAGMtkMhMmTEgufYQkO37Sv5fwHFEqO5CSXxFCKpVKvlAAQjzxxBNXX331ggULstns0JCc1T3qqKOkvksuFzablUoFY5zJZgPf/8s/qvCoG2kfOPHQlQvnua3oxrseOfCQv6FAl0m9+AVclptkR7mUqRSJTXa69t49Oua0k6AoyjHHHLP//vvnurpatVoURbZtJ4PuSRyY8AEl5oQxzvf2ljdvxhgfcsghN998s2T3bjYNw6jX66+++iohpDwwoGlavrtbRJHnuu2A/vUgIlCa+Kip1knHzXlg3rNPvrT6nifXXXD8JK/pWIDImBLJXHlCnIAFlQkJoLJO7eTdohPs7STour7ffvsddthhSVJCdjMoSqJ/TCmN5zWgaZqWZSVcQn6joet6tlhMGHlarVa5XCaWRQjp7+/XLCudTgshAseRIhSxtMRfQhGhHlbtyL/gfadkMhlopK/7090NDhyhRUhJhNUSJCXdWO69E+y9e3TMaSdBlk2F7AkK4rFcqemgqkEQcCC23JjgyQMv8BHBrUa95TqIYLtYKHQVRwY2Zbq6+vv73ZjOjhCSyPIljMF/CSSYCX3sV6YWwaknHFMsFpetXn/HIytcTDxkUagAwBURKSJCgsXtsFsQs3Sw7egcu50E13VlZi8mBE4YHgGlCam/pmmGIZUtXdd1HEcIEfMSm4Zlcc4ty3JdtzY8nMrnDcOoDA4ijCmlSRUriiKMcTqbfdM/KgXIeKjDIGh4F555qIFFJpP54+33BgQESKFQxfGSSeGBDPwgiqDsi93px2bvAQzrg7v6M+wTUDTNiwc0sj09m1av7u/vBxD6nofItuWltylRgAFjfk1J5SpUb6q5RRu8r/3bD7BmfODMUz5x9hE9WOR5FYQNQEOAlEhJcaRAFr6BLbWDMWDARFBfvHjxEe89BWh2GEGkmHLCWRagYjbf117bwY6E77q33nrrFVdcETabxWJR8v3HhMA79I/K2cBM3ncc4DdtEU7vNY4/4sDhgYHb77rbDYAbRlEYgMgBUQA4Y5CwmIZ2h36kvRudzN7OQ7lcXrZsWbLmSfYyA4Ely/FWYlt5UQREgkIKsG2oDAV5VT33xCMbjUa+2JXMNskcRpzGkI0RMcvkjrXvvR0dc9pJUFVV13XGWNJRnix+vMDXsGQD3kpIzfFtsSgBYNP1U+m0YBRyqtDGe2ZPTKfP75+UxSHQESFUBcIEiAspBCplpd7Nd+tgFB3PvpOQqDklJHvYMKIYSSPsDgUFEGpmtelwFulY5BV+0PhUJhIpwFTIGNYibEXE5tjAkpJFlp529Efai9HxTjsJURTNmTMnm81ijFmsRiNDPioZt7cJMY34Nryeyf5MRAFmclUU0cZQVjNq9YaiGRCrPsIcGghCFQkMAWK0k4f4v6BjTjsJEMKj3/veI444AmHstFqy1w5jFvgIka3XwHsX/T8Kwq7nprMFqTImIua3CAmKWRw5TYrSLtBCSLBsjWYma0IWcoQ7ufJ3jTanbgc7GljBXrMlNVsZt7I5r9VyXQ8pqkgG+GRP9zvv5YtlTnZrwSHIZHLDlWqxu89xPMXUiYiksoaiKnoaYRQgDDkWQPB42J4zGpt355J4c3AhRnne3/wQEbYtS+EO/k9Q1aTG5IUcqKZktYt/jPnttmqfjNy8w0To6+GHLJVK+55r6gblHCkpkrFozPrPAJb9EFKnRnYYcawBosbyaR3v9OZAIoKYyDkAKSmEMCJy0imeYI6ViFAn2Nv1SEK4rdm/6/cfEzKSAoejsjRtRabRYcF4FdcxpK3AWw//E7RtN7sOOth3Ad/JWGSX/tZE7Z19Z9/Zw3h++e3MKeGtiTVLOvvOvrMHb7uPhX/fGkkUmBhcZ9/Zd/b8bffvgPaIS2ff2Xf2Yiv2b29O0HdKW2N2HXTQAREM+vXnn31uzomnADPDGBFYYZLcPbY2IIjo9BB30MHWQYgQQazrehQEis4xxhGQtjQGQtlWBYUddNABEALEVDlSwy7m/KCMAYGV0fItwaTTUdJBB1sFLCQxgVwjjfJGJQNjkkc3/pGghLxGoM6+s+/swdvukewdERJc/h9AyUi1ZQsYwTzcHT5oZ9/Zg91+jwBVFAVjzDlHVDJBJRrdlLVXUIRASa4r0+qdfWff2cO33QPBOYUQYowBjKkBoKzsUkpVVa6fSKs0yCFHAnX2nX1nz992DwEPWq4kG0UIxD6KIUlhJK0rWTstf3VNMuDZ2Xf2nb14271kSlS1pk8BUkDSmM8FxpAgyZ8bN+9zX3YjtWc2OvvOvrMHb7lvI+7gk8m816ilksmWOP7roIMOtgc6RacOOthu6JhTBx1sN3TMqYMOths65tRBB9sNHXPqoIPtho45ddAB2F74/wGogY5v72o7GAAAAABJRU5ErkJggg==
|
2 | 2 |
Determine the distance the reflected light beam travels before striking mirror 2.
|
Optics
|
Geometrical Optics
|
A: \( 1.30 \text{ m} \)
|
B: \( 3.34 \text{ m} \)
|
C: \( 1.94 \text{ m} \)
|
D: \( 2.08 \text{ m} \)
|
C
| "iVBORw0KGgoAAAANSUhEUgAAAWgAAAFSCAIAAABQZtJJAAEAAElEQVR4nOy9B7wkV3UnfFPFzi+/N1EaBRQRICEQOSdjHDA2Bhv(...TRUNCATED) |
3 | 3 |
Find the time interval required for the light to pass through the glass block.
|
Optics
|
Geometrical Optics
|
A: \( 1.33\times 10^{-10} \text{ s} \)
|
B: \( 2.06\times 10^{-10} \text{ s} \)
|
C: \( 1.06\times 10^{-10} \text{ s} \)
|
D: \( 1.92\times 10^{-10} \text{ s} \)
|
C
| "iVBORw0KGgoAAAANSUhEUgAAATYAAAFICAIAAABV9kVPAACwb0lEQVR4nOy9B7hkZZUuvL60U8UTO3fTTQ5NjgKCIEEQTJjzOOn(...TRUNCATED) |
4 | 4 |
Determine the depth of the tumor.
|
Optics
|
Geometrical Optics
|
A: \( 8.50 \text{ cm} \)
|
B: \( 4.90 \text{ cm} \)
|
C: \( 6.30 \text{ cm} \)
|
D: \( 10.80 \text{ cm} \)
|
C
| "iVBORw0KGgoAAAANSUhEUgAAASwAAAEcCAIAAADyZR6PAAC8iElEQVR4nOx9BZhd1bn2t2T70fFMnASH4MWhLZSWKi0Ublsot67(...TRUNCATED) |
5 | 5 | "For what range of values of \\( n \\) will the center of the coin not be visible for any values of (...TRUNCATED) |
Optics
|
Geometrical Optics
|
A: \( n>2.5 \)
|
B: \( n>1.5 \)
|
C: \( n>2 \)
|
D: \( n>5 \)
|
C
| "iVBORw0KGgoAAAANSUhEUgAAAQgAAAEICAIAAAAslP2oAAB36ElEQVR4nO29B5xcV3U/fm55dcrOdq16tWTLcu8N2/RmOiG0kFB(...TRUNCATED) |
6 | 6 |
Find the index of refraction of the prism.
|
Optics
|
Geometrical Optics
|
A: 1.09
|
B: 1.38
|
C: 1.22
|
D: 1.45
|
C
| "iVBORw0KGgoAAAANSUhEUgAAAXoAAAECCAIAAAB/s4trAACI8klEQVR4nO39B5gdV3oeCJ9U8aYOABoZIAAiZ+Y4Q1IczmiUgxV(...TRUNCATED) |
7 | 7 | "Find the angle of incidence \\( \\theta_1 \\) in the air that would result in the reflected ray and(...TRUNCATED) |
Optics
|
Geometrical Optics
|
A: \( \cos^{-1}(n_g) \)
|
B: \( \sin^{-1}(n_g) \)
|
C: \( \tan^{-1}(n_g) \)
|
D: \( \cot^{-1}(n_g) \)
|
C
| "iVBORw0KGgoAAAANSUhEUgAAAUAAAAE6CAIAAADoSxxaAACjpElEQVR4nOx9B5hkVZn2d865+VbqPDmSkwOSg4hIEhBRQBAVMa9(...TRUNCATED) |
8 | 8 | "What is the angular spread of visible light passing through a prism of apex angle \\( 60.0^\\circ \(...TRUNCATED) |
Optics
|
Geometrical Optics
|
A: \( 4.37^\circ \)
|
B: \( 8.74^\circ \)
|
C: \( 4.61^\circ \)
|
D: \( 2.11^\circ \)
|
C
| "iVBORw0KGgoAAAANSUhEUgAAAnwAAAFQCAIAAACqCTTRAAEAAElEQVR4nOx9B7gkVZn2d86p3Ln75skRhjikGXJUMSDJgMsaVlf(...TRUNCATED) |
9 | 9 | "What is the smallest angle of incidence \\( \\theta_1 \\) for which a light ray can emerge from the(...TRUNCATED) |
Optics
|
Geometrical Optics
|
A: \( 24.6^\circ \)
|
B: \( 29.1^\circ \)
|
C: \( 27.9^\circ \)
|
D: \( 21.5^\circ \)
|
C
| "iVBORw0KGgoAAAANSUhEUgAAATYAAADSCAIAAABPfHveAACRuklEQVR4nO39B5gk2VUnil8XNn35qq5qPz093snMyA4jhJCQYRE(...TRUNCATED) |
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