Question
The graph shows population models for three cities , based on data over a five year period. If the populations continue to increase in the same ways , when will the population of city C exceed the populations of the other two cities ?
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BhHn74YT7wgQ9gFGampvDO89jjj3P3Pd/nox//OOdsP7enp1uxiCoGwatbc//C+Z6uLhIGEPVVjZaVbUFx3pXXhoWCKkmu1LyhKBzWFkTtNkuPPMGxr34Nt38/4+duxXpHUnjEOaTaxKSauBCaMmxXLzW/8lVVgBmiVoX9H+9DTo1XjyWolzpEDTPlRiKA9wXGRKh3DNPCKrumfEQIqVGPd26tzSJg1FI4HyQBZciE91A4rMR4sWSqHF5u85dPHeKr37qP9hJMT2yhbmu4To53Fi8xTmIgQn0UwBjv1jwv9D5sIsaAcx5jpFShdUCjCNd5XzKggSg2YQN4nfSWYhYRodvtMLdpjltvvZXJyQniKCZNM8YadTbPznH61Cn+4A/+gJ//9Kf5+V/4FFrq6VU1FdHK4D2bQSl1XBksWlGSDv4hYQEbxaqFwmNMge8s8eJd3+P4395JvHsPXZexkLWYy1LqarEOiMLvKKu49KSJDLMXBiRNZVAPva5Ev7TS0YN+LlKVlFlz8YA91v/N+kPUG8SB//drrhcFIUIxeGPx1b0dRMRorjhrefC55/nK9+7j+69GnGwvs2V8jHpcx+ZQw2NU0conphJilTCIrGX8ni0iq+yTasIGQ7OrcZKBcX8DqahvKWZR9YyNjfLRj3yEZ55+iq1bt3DL+98fdgaE6akpsjTjwh07+OVf+RWSer0nVaqpDcwi9Lf0FQ8I7yKALV/lTrruIOrAu4KVANlGQrbQZmrjNI0LtnH42AHmLr6Y1twoiwlMUyexdVZMUo+TX+NZMnDta2Ivtv/S6u+BRbPitiWzCP1r1Q5nrBUq4kC/h7ZZEG9RY3BYwixZIhWst4hP6KrBNMfYsuMS4oWjbNs4wWySMSKeEeOJig6GZbwRnESIFTAVkwybw3LuekxVtcuxokMCKznn7zmz9I3cSimREvlSOt0uWZ4H1SxN2bP3Fb7yla+wefMm/sU//x+YmZzEadBThX59LxUJ4zl0TCpvdyW1pfc+7PqweZWIWKX6mKAfIzHjY+PEsxt44NCrNM7fypX/5HPkM5uwIxtJjSfHEREHiFd90BKq561tGr1ds4Q9tcq8WQuc9dusUqpO0tNEht27X5eslEgrpM3gtdXmUX0t/d+sJhUgQiVkd0Z08VKQx3XSqE5dlNEaTM1t5sUHnmOaZX79Fz/JRbNNRpeXEM0Dbi6e2AuxB6+CM2UL1jRPVmoMIqXgLdWv3leDjF4VMRwY+9epib1FmAVKALzXj1pcx+ch/6S1NM+DDz/EUqfDr3/h1zn/3HPxWQeqAEIFzTMK78i8w3vDMChdvfYWiXMFzjuKIsCKq6lCooLuq3jn8V7IyLA4cHVEYxaee57i+CGmb7+V7Jyd+NosSVs4rSfoSkqcWYrc47wPKkHZ5jXrwAf92zlwhSeXYCNYOwSDKQ3gouyDc44AEjDUh6A+IHBFCRo47/DODV80GiBsEQkBqIXHl2bI6uvFg/OG3Bisa5P403QxzItFopiNuozkOU+/dJy7nz/GP9sxxUc2jzPeSDA1g7qCtlNSl9Bo10lMjdwLqY0xZJgh9hpK2d+AUKp6jNjSF+QZlIxiBrUGQ5BI5u8ns6xHlVHb6XY4dfIErnDc/sHb+chH7sCIsLi4SFEUfWNZhFarRZp2McZgrR2qjw9Cos47lpeXWVhYoN0ePgxShbCU/99qteh6S90X4E4xc/AYz9//KH5ihpmdO1nqtmh3lMRZonwJf7pNK1LMqSAFjLXBSbaOUyxNU9rLyywuLpZquWDt8EqV3gcbqNVqsTB/GmNNX4KtGc/wH69Ka7kVAi9DB4eOUWhjYNLFxUWccyRxvLYdpcrrTChnqwBZh/j0InjPwdFpHjm2xJf+5ntcNtXg1vfuguUWi0sFkWZYlyEa4uYQpVukpE4xURKUumHghhiWl9tQ5u9474PfSimZZRDRBPXQTXPiqB769AbgsLcUswjBqA0h58LoyChTU9M4X2BM2D16O6II3nlEDCLB0ZemdaampogiO9yHUOrt3gfUzTnH1OQktdra6na+ykAsF4jzAc5NxhIaYyPUck/28LMsHD7BRddexczOK1iuTVKLRkkVZvIS6anXmJ6aDv0LOPS6oSntThv1yuTkJMYGiWntWr1dS2dlURR0Oh2mpqfK64ZibMFRKdIbV2MMk5NTmHXa4bzvOUVFwg5e9WHFffGoOIx3YBIy6phOh6SbMjJZ51Bjgnvue55T7ZzP/9y1XHXRdkbUY/BYn2HF4V2Oy1NGJ8ZpjoyRK4iNsQOlc1f0vZpHYGpqCvW+XBuyllkIEnFpcZkiLwEW9aXa+pPTz4RZeslKZXh5VZLIlAiHMQbng//WWlvi/pQDY8KOoj6EMfRCH8LLiJT3XPvcoKYYjCgZfWfdsN0m8GOl3wqiHu89TpVIHdHiaQ7cfz/GJsxctws/MoXxBhc5UjzatlAYRAjlWdUHG7vc1YdiYUoPsIhsFCyWIQUsRAQjUORFT7Ku12cI9oqYYKuFDUZK6Tak3xJSlqV8dm/DGMpYgo+EOC9QEqCGisOpoJHlB8+8wp0Pv8i1V1zFHZedx4Rx2KJAcIj4MgwnSA8jEqSj9wMo2NpnmpLpqz5jDH1gY6U9IgiRFaIoosjzEj5/fQ5J+Ckxy2DVeKgWYehVQLoCw3ik54mVCq6tBgXp6eM9P0Vle5aw6eB9h6vjsmJxBTN6wHwfzGvvtT3csjLzrQeb5Zx67lle3vsM59ywi9ELLsH5BkYc+JTICsbWUGt79wzvZQqw92vbN7AYZaCd6/UF6Be3qAC09SZA+mnHUkqW3u+GXV4yiBkYUxnG4WJwhAK4VpVECpaNYXFkmiMtw9e+dx9Tcc4/uuV9bG8KtpsGc7uEwx2KmgiVCJUgGU0572adCAyBgeDRPshHzwWwkqpyDH8XqQw/FQ++rFoI1WRYMVhjscaGjD/nyfPip9Gk102RCvFSm+NPPEE6Imy66l3YZASbJxgFi6OuBT4SvF1/Qb49SKCUKBYh8h1Sgf2+xteefoVXjx3iY++7mMtn6kRpqEvgJIQ8hmwfS6mUoSUMLhiMf8sFlgA/RTWsp2qVTsQ8L1hcnifLcrrdjGajyczUNEkcU7i3EsNUHpxAiUakL77I4o8eYvKmHYxcuYM8bpB06njTJZGCZuFZSgzdyDD6s2v4m09q8doopUIb6+fJ4w18Z/9p/q97nuWOK3fw+Zsv5Bxt4/IJsni5PFbAoKVcd0bwJkKJgAjxIXpaxTEsfu5nSWfNLCGaNRhdWhpJqkG1QUzQryXsDYOqY2W0B2nSD7E4efwo/+7f/VtOzy9w8SWXsP38C7j99tuZnp7CC8Ez33tupZoMaZiWjFiiXGcTRF2BCNXf1keohFgwLx6DQbxBvAVjcBQ4caTWkZ16mVcev4cjo3Xe+54PEjVnyfHktQyMRajjkeCY01B9hRJRExF8CcsOaRRAz+jWMuRkPSO8GmFVH6KTXwM48NofQ+81QOjrD07PiB6cw2FkUOrOkZsWKgXOjHDwVMqjDz3Jpprhl268ltmkQZ53yWodopJBBh4WYvB8kDXe5+Ez0+//6j732lY2KtgvBiOGMj+2f225QVf+LS39aq9XEzujvKsWltcQiIZ6jIBYg4kCTJsVDmsEFSEg/mv7WR3aE/R2IU+7vLpvL8ePHmVsdJTLdu5kYnIyxBkNXB8CJLUXsbsyUG7A/jAmJGKZ0rE55F91/Uo7ompwmLgQSBgQFmNirMRYY1HviBKlOLCHFx6+n/GLL2brjqtRFyNWSJOcwoDXGK8JtUKJK+ffwDPX8xv2PquapBV6NwzfHRzX8OsKIRv2rwI9BrGy9a9f9SgpUbzwlBX/RD2x6yI+I7URR3WMP7v3OY4ePMCvffhGdl2whdiDjWpoYnvO4/DyiAZ42EgVSOqD5JHh/RkcucrJaI3BVhv3ipfiXJBiMvD967dYzlKyqGppeAfkqNVa4scPPsgl77qUw0eP863v3kVSb/LRO+7gXTsuQAebJP1dylgbdjlfMDY+zqd+/lM89/zzfOlLX+IH997P7/+bf8NFOy4Mjjbv6Ha7nJ6fR4u8NM7XdrUKz15ut0m7XZTQVjMkDLtCUYTg05hfWKRWr9G2GSEy1+HFI2rBR+AtkbF416Fwy+St4xx96gUSn3DBOeeTLrWYb6dk9RpqFes9kYfIG6yPWV5qYRKw9mTwC4kpfSdDEJkyLm5xYZFarV6iW8GHMAwQdj4EN7aXl2m1WqVPQQPkPISKosBaQ6fTJjNhHiq4efUYVSiYGFP6WQriOF6TK2NQYl+gNuGoNdy5/2W+9eQj7Ng6xTVzo2RHX+GU8eQuosARSwdh5T2c97SWlhAJc1KFNgVn/dq+iAhLS4sAWFv5hCJELCtCdUQxYvFe6bRTrEl6m+hwgP3MdEZmkVW7ogCtpSW+/KUvY6KI/QcPc/vP3cH+gwf48pf/C//6d3+Her02oDIN7AalKlchM9e8971cf8ONzC8u8cCDD3Hy5El2XnIxaTlZcRzTbI6gRRbUvSHMMih5jAhjI6PYKGKgAYOdKSNwFRtZltttarU6ca2BaoJICL1QteXQRFh1WFWMV068eICXnnmBCy/cybYrr4HxKRrWYGsRXhyR98ROiZ3FakyjnUAijI6O9dVDHX7CV+UArTcaNJtNoijqoWLDHI3GWPI8o1avU6/VQ5+Hqi7VGIVNq93uEMcRE+MTQ1XWHuJYqmp5npHnBY1GY+2YakHkwZkpjs/n/Nk9j5A1LB/7wPu4crrGBB06xmB1jMiNhLivVX0pXEGnXqdRb4SENOghhsNIREjTLqrQaDQDNG+iEGGAZ2XQpISoYwfel3jmGzCDzsgs1W5MCTWqemY2bODTv/hp7rzre3zmH93ML3/2V/ne9+4J6pi1fZNY+h30pefal1lrJ0+e5A//4A94+tlnyXPHr/7qr3L5ZZdRlJMkBHy80ajjC0s/Tmn16AUnY1JLUZRavU4U2aGDUn1U2T+1Wo16vY5p1ENehnoEjxeLmphu7qgZQ5SmmDSlOHyIbjdny84riDbMQa1GvZaUcX0FiXpiD7GziI+J4xhJTOn0rDYJO3whSEg0i+OYWpKEEJwSNRya/FVuYkkck9Rq4VkwlAEoQ3ZEoFYL967Va8MXTk81DV/WujUQoVZbe3aMEiE2oesaPPjsi+w5fJwPffhadm6eYkq7JHFEUa+Dr1PP6mgZBzZIRVEQJ6EPjWazHz2wju0ZNtGQ6NZoBgaWXhDpWmZRFYpCSTt5+P3rTCmGs5QsEKSCSD9tdWJigs2bN7O0uMQf/eEfYeMau266JejGQ/rpVUsjDFxRcO727fyvv//7LLWWaYyMsGHDLCaKQuot/XmpbJfXstv71/Rfr8Us1W/oPStIjspr7I3icEgkiC9ACzpHD3PsoYcZP3cbE++7Buo1CgT1hEQncUTqESX4HoxSiBIN2Gor2ncW/Sg/POt+9/o17NpVA7LeGA1c0H/T4dcXJmY+qvG9Z/by9Xvv5dbL3sXnrryUjekC1Oo4GcP4KNiC9lQpsWXVY7QP0qyYv9fud9W4vkMa+kzS/6xn+/0d0BmZpYrBCnE4oXj2sQOH+eL/90Uu3LGDm2++CY8Ba9m8eXOpF66VAZVojaKQeGRtzOymTcyWAZReldw5xNrVkvpNJ9HAKFZBvOAGI3J9gXEFx555hvzAAS787G2Y2RkKBa3VcEVBbEIhiSpO2IlS2MAsaxOW3/q0XoTB6muctby4kPLH9/6IVqT80m3v45oE2ktdctMkNRPEXoF5ND4F+RT8vRyRQGdEw2zphfZaFZ4OcVi1Wg1VZWlpiTzP8d7TTdMVkOOK+/TOeycUzh7YTfIswxUOaw2mQq3C1av2ibW0Ro0+0y4y8H2AJ5XIe5wouRicWIwXjFfQDCMOd+I4rzzxFBs3zrHtkkuhXqdIIgpfEEk418VoZVNJP03AMERCDttKhvfhTH1Z8f1rSCyoNDodGKKNXuAAACAASURBVPfh1znxpJKHjFMnGBeAHSeKJ6Qbg+DEsOiEv33wGV45eISP3nozl89NUy8yxOfkxpDZMjXahXTvM+7vP0G/10q69TDGUqq/5io6OzprP0sVFKLeMzE1xW0fvI3dL+3hoYceImmMgIm44cZdbN88hxnIw1gBDpQIlUIJrIXv4qT6XHsxSbZEQ1QFp4Zhqb/9ttEHQXhNCd4LOwlqUfhhnKcsJhFZFDFaRNSyAqtdrFnGdJY58thjzB86yflXXkE8tZnCxRi0l/bqveB7yVhBLU80IGM9TEL7YSxDSbXMFaeHRFW2jV8laqUK/SmxUNPbiHQdJ0KIlshd0RufQeE5OI6p5HSilHoxgu0a4iJh2TryyIU+ZQ5nRliIEu58ei9f+/6jvP+ii/jcdVewCY8zsGyU2Hoi28UjiItJ0jkyo/gVNktIidayz2vU5HVi9ljxnbBySx1gEKX062gAbvComqE24NnQ2XvwBfAaDHURRkdGWFxcIK43WeqkjE9OMzraKAsbvL4zQ3rSpEzqqiRMHEVhSIYYxr50ylWvgKZUkVwrqQq3D2H62osmKGqWWITYKzWneKv4yGMjoXPsFHsef5axsUm2vedqqCXYMhiyypNf3dfegoe+o7QXdzYcDg7tCtcpfafpelBwdU/VflGGXszXKnKuzHkptYOKaY2xa0YpMXGwkzF46/A2Q8lIVEm8BYnpxA0ePnicL337Ts4dj/nF23exoWaRtA02+OHQsJkI5QFNKqFgyOADRfBlnQPv/QoH9LA4Li3Hr/L7+BIpNMYGzWVV+rAYi/oAbPRqjZ2FZF+PztrAryJ0rUk4dmA/X/v617lx1018/JOfwqnwv//7/8gXv/gn/C+/+y9o1N9YXdFqV11aanHk6FGcc0RmuCZdDWprqUU3TXt+jOGFHsKO7Zwjz3NaSy1MZClSoZlHNPOI3Avz9QwXZYz4LvP3/phDu/dx5Q3X0xprsnDqFElWVl2pkDuzVmKICPMLC8RxjDl5MqA2RnBubS571bo0TVlcXAjIU8lOYobls4QJ996zuLjI6dPN3sJfLYV6PS9Rw6XFxd74DoWw1SJqSG2HjIyl9gJ50aXmM8hjqE3zQp7z/9z5Q146foL/8SO3sqVpOLJvL0VcQNGh01pG4nm87RJhsE6xGiq9rO68956lpSVUQ00zoJenMmy+jbEsLixSMURwGZQR16tC9EOpNKHbzXr5LG8kkPKsoOPe3y6UBoriiHq9zrHjx3n++RfIvdJqLbNt2znDHW4/IQXNX4giS71eC5l7oTFrrlXCrhHFMXEJSwdv9ZA8EOh5/FWVKIqI4oS8Zoi9pVYYsIrUQhi/LHQ4vWc/IyOjTF1+Gacbdeq1WukD6affhpuvZZY4jomiiDiKejkllbN0zZSVu2xkIyIb9XwjwzIlK53de1PeP+7ttvY1oGNrg71prCGKo6EqvPURJo8oIofYAopw0lgjaeKTEU5rzI+feoEn9+zlhhtu5JYrLmXCKsloQh1PtwjSKzYJ2DhsUOIQVeIy0mKQnPNE1oZ+xDG+rOul6xyhYYzBRuG7KIr7x20MYRZKtLIotO+zGjb2Z0lnZJaKy4N67xETsWHjLL/1W7/N/Q88wA9/+ANs0uCOOz7Crl039DLqXj8H95wzNBtNpqamyPMCQYejEVLVHBaSJGZycvKs/Czdbpc8y5icmKA+WmO0Zmh0FRLHzEiKSS2HH3yE0wcOcsn1NzJ16SUskdOsjzM+Nt5Xs8o7r1arRIRumhLHcUhSKtXEfimktdTutMnzgvHxceIkCSrHelMrkGU5rVaL8fHxoanRgxdXfpaiKIiiiKmpqeHM4mKMi+jUOzSiBCRHTJPG9FZaNuGJF/fyl9+/k6t37OA3Pnwjl9QivG8T21GEOkmzSernmRybIak1UEJ9L6RAvV0VGxbak6Up4+PjjI6OnpWfJS9CoO3U1GRpl1RrZgizqBC12qSdvIw8ehMlS7XwrTEcPX6MO7/7LS7ecTF7X3mF/fv347EstE7y1FNPMTLS5PprrsbaszOFhqkXg31ZiSCtj6a8Xj9LhQpZB8Z71IJLCP6S04sceewZENh0xaXIWBNOL65pt66582u36yfxs5wtKnRW1/b8DmcaI4c3ilJgnSMqBHWWrok4kBf8xX33kWvKJ65/NztH60i7i4hSmOACyLE4LKqmLLjiwTocBaKrpPFrjNHZ+FnWonqrjXx+un4WYwxFUSAiNBp1LrzgQjbNzRHHMaNj4yF5x0RgIjbObhooEnBmDv676sQbIQPUncGiOFvQjjz1Imf+hZdZfPYlzrnyCkYuOIc8sUQah0Nf3sbkTYgAhoLIQVJYnE+Yzx1fvuv7/Gjfy3z2Ex/m/RddwEw7Q7yQGYNHcQYKURwRqMVoiATTstD6G4Vuf9Z0ZsniQ4VHvHL65Gle3buPZ55+mihOUBEkinEYTJwwt2VzgAqlzFeQoAD00kCFMhKgRP8UpFQfHJC6gkSqBCAwPkSjenGEXMnh+ejhvdyMyh1zmLitohDQUGVRRPB40ngRSZvEroHrdjHLi5x8+H6ke5oNt95Ed3orzkGkpzHUqezU6tlBJVurhgVEqA+NCgM24BAEbd05GPJZD8ofkCrrh+j3/TvhUmG461FRn2A0oYiEyJ4iM6fpNrfyrT0dvnbvi7z30ov4/HvPZc50EJdQ2AyR4NC1zuAKH3LrpYszWh5KEFIXhrn1wpStkgiv0Z+qv1VatJbHKZjepPSf4ZxHjEWwqOYDWsCbhIb5MgVWVVlutdj36j6Wl5eJk5jCg5oIh2CTOtvPv5CyilevOQHKLaE+76oQMxBFVNj99NN8/0cPsP3iHdx08y2B2SqfiQK+Us2G57OsHuxqLQxbYCtUJt/DTPDkoT0eRiWiu3sP+198gXOv3MnYOVtRZ8AJ3oBKBQMPLrbhXqDQ/ABvhsIaYZH3bMBBKtG1yrZR9eVJxOtpJAMORqpwovUXQc9OqnaV9YAAEXKn1ByAJUvGeOjIAn9x98PMjo/xT27exbY4wXhP1zpsVSbXl3Cvq8rhelTKvCcRVhbEW0ledaBJ0g/8XL8zaFk4MJgJwWpc+YNyjrQa17BZYt9k6LgyjLIs5dDBQywszFNvNClUERuTKdSao7RbraGTUO0G0uuEIiZm/yt7+Jf/07/kvkce5pc+9zl27boZsQMSQOgNhujw4xSqUJywGE2v6MWwa0N/go/E2FBs3GIYcTVspDjXJl7usveRp1hKlembbqA5NR38Sx7yxBKXO18lxMoeDoWOK1uvmpx+nYDh42xs8BdYa8vICV0hwVaOKb37V7ny69kuVYEKkSrvJ7z8qlrCAD7K0CSj1umQRtMckln+7d1f5/i+5/nfPveL/NyWOWwnoxUrmjji3K56zsrcF3ptqiTqqrZBWUwjzAdlX7z6NUlqPf+LMaE/por4GERt+85KY4NTGxkY+4AIvC46syWuHtWwV0zPzHD99dczMjLC/OIinbSLw6A2Ro1lw8z0uqpAiA1zwYFmLS/tfoH/9w//T3ZeupPx2Y3EcYxzDi9ldRGBPMtZXFok9XkoZDAsWLfcx1pLS3TTFBuFHJShcIAGZkGUbjdlcSnks9Q7ESrLmCInf2E3Lzz2FBsvuJho8zYWF1uYLMV5OJ228InDVkldg7de7WUXYbnVIi4jiHuqUmnTDRun9nKbhcUF6o16CaNW6sbafnj1uKKg1WrRarV6UPa64f+EJi8uLhKX8PqwvVtMAb5Lbmq8LE3+9L6XOXSow+dueA9XzUS0W4dZKhpYW2DJyX3U6y8SznNZWlwkSWKyLCPUaitLqw5ZqM55llvLIW/Ie4oip7+5rO0HhLpxIlJCx25VZET5I62YDjrtTv805zcXDQMISUXGWF7cvZsbrr+eA88+wwMPPoitNcg9xPUmG2Y2cOVlO7FD1GGtvK02hKjff+993HXXnVx25ZW8sPcVzL59PPHUE1z7nvdCmdWn0Hf8VTvPKvKVBzeKQpmdUnybIYlDKn2kJRTjizAYfGqROCXK59n/8H0stlpcfc11xLPb8JmCeHwMUtjSHlur9a9+XpAUhiquThgMSxk+1mIEW9VH8wPw8tDrA/pUVXipNs1h/a4eKoSifaEm2RBpBcTOoc5xYqLJXz52iD+/52F2XbKD//bGi9kYLdCxGcvJBJNpwUju6camn8ZBGbJjZKAd1fxV1sJaW80Y0zudq1e1R9fOt5YSvF9EsczkNwO2WBUiUEkp15c4/aKMw4foTHRGZrFlzaUiz5mZnuazn/3HWGvZtn07t93+IUyckHmI6w02b9pces9XbiAV53unmDJE5Lrrr6P+O7/DK/v2sf/4MepTE9Rr9eCU0nDMSq1WY3p6mlwc4hkqWWCg1lYUMTE5QRTFQyVtlSXnVUm7XbIsY2xiglo8jrjjcPgQCy8/z+R55zBz6RVEY5uIipzCOjo4Jo8XjDeajI2OrvGzDGOWbrdbFrSbLNXFKjxl+OlccTvBOc/ExPhAlcV1JHXPz7LE6OgoURyxXnmjyg4SEdIsI45jJiYnh46RiCOPI3afyrnn4UfZEKd89ppZLpwewfkIrQnT0mAstTTyBrWk1ncMoqRpSlE4xifGieOQnTiYobpaouZ5TrfbZXRkhOZIM0j/dXxRfbUu1JKtEthCLbbVtkjI6hUMcbJIp93BO18myb0+OrOBX6JGYfJT/o8/+iO+d/fdbNmyle0XXECukBYeE9f4xCc+yR23f5AoMismrYefl//EGC655GIuufQyAH751c+hScLc3KYAD1RFHsrc/9wVAa4fgqZUCFMV/xTKmob6vKupkmwQMvSKogj1fyNDLct59f57yU8d5YqPfQo7NY3mEfiC5cjTkhybOkh8b7K0VC0UUFmrhhWuIJK4t2CKwpd6OWuZoDTWizwvI7AjnA9xeMMKN3uVXpVM5x3GV7nmw23G8o8y5SIsXLeKaQWlE8c8N7/Mf/7aY3SOnuI3PnYLV22OyXyOkxo2s4xqiqEgi+jZJL3C576cN+fx1q9glmpcVvajrK1QbiLee8Svf6isAEXh+r9VkBWhMX1oyXst6ycM2HJvphpGybmoUqvXuOyyK3jyySdpLbfodrvcePMt7LziKsYmp5ibncNGZl3JEidxKL9aDp6mKU4928/dTkpZNrT8jYmCGFUfEqqMCQXYVpP3/aIVvRq+lAf4rO6KK+HqylCUEE6ikad78BAHnnyG2Y0b2fyuHUgch0lzkKFkAnWx4cAkGYgxEgkFGFYt6GHBgFXcmte1VbarayuY2Ugo/sEQWLrsTdlvG3L7K6h+yGJw5S4tajBahgKVksDQh52MWBbF8o3HnuWRJ/byT2/dxfsv2kBS7CNNJhGfkGSGmmvTTSCPLDVX9TPYglKqYX1gaCVItCbotEIWS8TTlKolQ8a0/AV91S5Uc1nZ7wGbxfRBDxFTbjpvJhpWBfKJUG82+LXf+A0+/2uf5+ChQ+zZ8wr3P/gQf/bnv4+Na/z6F77Axz58G5GxvT5Vnaj09RBFWwbj1wRbHrkWY0hKeNU5R67ByYWR4M/y6xivQilFKry5/NODN+HwNCQsinD0R1HqyUpuPJnpMtU5yOFHH2Lh1Yxtv/Df4LdcgIuUer4MKCOEMypPx6eIpNY31hmAo1drVr0v+zo7Kz5a2ZcQ69U3Vp0fCLgcZuQMs/vXKXHUSlKsE6Y6I0ykoxQ2IlVLHnUZKQpiL6Ra42Qc81ePvsx/vetJPnnNDn5516VMu2XIp2kUBZk5RVoXtIiI85g4N7h4wIuuoL5ftDwwsEHKs1N6frAVjabnmjBlkGuv20P6Exhj0B4KA62rNyCt1DBQdSgF4OB11jmGs2CWKlbHq0edo73c4uCB/Tz66KM88KMfc/T4CTZv3sKVV1/NZTt3lscpnKmCxsB3pZ79+oXjevcud9OeD0TK06XKv8vqh5aY9vwiLzz5BI2RJlsuuxRfi8NRCzbs6gJEHqwfHnP2VqdYLVZDqnMeFXgLYjx1QhUaJMHVRnjk1YP89be/w7bJcT76gevYPF0jO7IQHKsunB3pSl9MkKhDkJy3MZ3ZwLc2cL0Ylrst/tN/+Pd882++SZZnbNq8hSuuuprzL7qY6Q2zdNPua5bj+amRBFejqGAJwXReDK6KLEBRibA+Jklh8fEXOXX4MO97/+3UN0ywXOSojUnVYFUwCrUCarnF6M+4b6+DmlmodlNYR6vWxcSWEeokuSC+QdfWeOLoAv/3XT9iOcv573/hZi7bMoUtCox2KSiIxKBeg92oghdhncDgty2dFTRQwZ+Rjbnlllu4eMcO6vUGUZKw3EnBJr28gp+c1sqUKnhTlfIAnhJtWgfpqVCWQcecGsX0yt9YVAy5gpegK/g0p+HBnjjN8XsfYXRiko3XXImvBwjTOUUtqAi2UEymQd//CQzEyo6qoofPdNSBiOmlcVdhMuu4WXqO26q0Ux+RWkvWWbwqWVLgGr50/DoKl+BMxAmn/Pn3f8SjL7zCP/uFD/OBS8+jVnSw3mGtQmTBB5vGlkeaOyN4FSgBoP48hA02aCOKGdTR1tEfetm0VeVM1pdXysrMUO/DqcpDrTqtDqHqg1RvqlOytzhUqdUS3n/rrdU3DJ7bqEABGOd6i33ofVZ+Wn254tMK6uymXZaWQpE3w3CkpzK2W60l0m4akqAiKKQgcYbIhfMTc2vJyqMUrS8wiy1kfp6XX3yJo3sOsf22a/FTI5xMO2iqZGrxcUqkhjj32MLRzpZJl3KyIqPnidfhCK9IcJ5FcVT6P0rAokSNhhmvnW6XhYUFkiTp+RiGSenShEQ11EBoNptlBc3hhxklmcWJ0kpS5pdPExFhshhknOO+zV/e8wD3PfEYn7plF7suPIfi+CEUISsKOq0WPs+RWh1HOCQ1SOhghBtfHSoV+phmKYuLixgbKkWKsfQqkAwBIJxzLCwuhhoO3S7BV7N+aAwICwvzvYHwZZyY9EoKDRr65ZGL7W4vz+r1m/c/Qd2wAAGWkV8SPK+nTh9luZMT1+pkzjM6Nsb0aON1NqVPFRpUq9UYGxtH1a0rWSoJJAhJkjIxMYGJDanNaeSBWcRbnDWkkYL1WJeBVdKDr/LS048j8QgX7bqJfPs5WG+Z8KOQK0Utxqsnzh0UGYvaYrQ5yujIGBWIswaxHGhXt9sliiKmp6fCBSWyuMYYLanWCb6AyclJIhuiENYkmUGPO4uiYGlxifHxCSJrByK+V5J1Ed4oke2iWhBTZ3J8M616wkNPPsdfPHg3115xGb9527WcVxfiVMBYnPfYOKHICsYnNvQe7QwhSBKwTqlOHDMSsj3VKxPjEyRJOE/TOxf6DazGKIvckWUZExOTNBsNKJHN9TIlwzoMgMHU9HSQ2iIM1jjuv0uZPr4UTmfQtcz6k9DZe2hUS480LLeW+OpX/4xHHn2UqZmNeImwSY1bb72VXde+h+gNZksOOtFsFIWgRz98r+kvptIzX+3glXmvITDTqAbsWD34DOtS5g++yuKBV7lo53so5uZYFsHbCJ+6cCx3UaD44Pk3SmFyPNXJY4T/VCEDaxZ/n4lNWeqpgsZl2OUE1ao6xk96ITJr90KRMnUC7akl1Ulhw9LKquhfFExBqU4mPL3vCF+58y7Gt83ysQ/fwvaaEHe6GARnBIdQqCHXcCxEaLsilIGgZezaINJXqYSV6qwDbR4+Tn1ksXIVVLXj1o2idn7ghpV2suJ2QJB0ElkiG5FnRUAYvb5uQOyskr9CW6oK5p7506d54vHHuOXmW/joxz+BL8WthlnElT6APgQ4qDNW0sD3Txi2Ek7LUogk6PmlEMCokpa+lmFOySo6NxSuCIst8jDiQ+h2GguFIRTt9jl1UWre0Tl1in1PPEatYRn/+ZuRiRFGcsH7Ah8pvqyVazxYDWrGSBoRJ1JWrzF4kdJTsfb0MBHwxlIYS2EExeONR0wZhawgmN5R5IIZ8E9Iz7+yHqqoqj0HoHof9EuGqxhWBc2hTswpqdGp13jqxFH+w3/9S1w3559//rNcOzdJXCwiongTaijE1pZVOguwrufoFZTYh05WGoetwlUkoKGVLQX0QllYVz2XHtO7EkJeLyaoqqPQ/21ZkbKKah4oWhHqaodcfMFiJUGGHfl+lnT2R070tnZlbGKCwjm++Mdf5IWXXmZ0fAqJIq6/4Uauvmrn0NAPEelVqtRSLGOrU77CIPgyN6H3u8E/zoBQDi6y3k9K3d6UCzIxMbgMkYjOYoujyx0uvORdjG7agth6GV4OTixOPJFEIIQigmLwJGiJqPXa14uo7Te8EjxBogU0LXj7pTyyY+XVukY5OUuS1czV39wGyZkU74WYBqpjHM6Ur95/L68cPchvfvzj7No6x4zPWHY5taQepGqvH1XrVt439H1Ft183/d24DdYuknJvHvj+jT3prKDjfokaMDZmZGSE3/7t/44Tp05ROCWq1UEsc3OzvQlb7bnuVeEopcxyq8WLzzzDwUMHGZvdwMWXX87U5PTfCWqvAoWAcZV0KoPoRFFvcRjqm8/hfb/waTZvOQczMoMryoDHKOp5eguCV9oieOPJbUQiFi8mREFrdVSCrpEBQigeYb1gfamSKZjS6Kwu1tJv8dp+qSF9HOjrsL8HydsOlhiXNplPI/7k7u/zw4O7+eQnPsSnrn03c2kHigyao2Qob9zqfHvSWTklITDA/OnTfP3rf8W7r7yCl17aw569e4mSOrkXbJxw40272DK3YQ0yVJGqkhc5SZxw8OBB/uSLX+TVA/vZfXA/13/gA/yr3/1XnDM7t2LCB0NThi6oUpisDK0IOrdVwTpB1BA7i7NCYcJ73pzAbjsPnZkJ5Xq84o0toUaIStUJwIiWiUwOFVOigCXYoVWEwEC+hgJiCLUcQ86MEpLdTPVLAV/tdqUqMhgiU6kn66phg8aCyHCMuXdxhtYsy1GNu+5/ie898jw33HYtv3zTTWyUDLO8BCYCX8cYqA5AHRzPdQ3jgVCWlfM18JtVG+fKn/cDLM/4rIHrBu8lPakhq4THG5cmg3TWpZCMtYgRNm3aRL3eYGbDBhZaLWyUkKsQxQm1JBl6j8HwkLiM+jxn61a+8Bu/wZPPPs0X//S/cPLECfIir34QQj5cQEoyn2NUcEOOnKgYK88deYmsGG8orA9HDZTFKMCQG8it4L3QUWFRhREskqWEBGPFC0hk8EWJ+1dxRc5D2qJIEtKsKMsylAfylIqZL1U0FYsKdJxSSEE7zxF1WFFcFkCGcPBTqNCo5aRnWU6ehxfCyjD91f0WIStyCufIi7xXL6wKWJUBaWVMg3nq/P/cvWeUXsd55/mrqhve1DkA3Y2cM0ASJMAcwCiRoihSstKOvOtj2drRztg7Xp+1jz07X2a/7Hh85swZa0ZeW/ZaXo8l2lRkDhATCCaAAYnIsYFGo9Mbb6iq/VD3fbsBNkSIovbMuM5Bgwe8/b733qqn6gn/5/9//MB+/uHNl9mwcin/45arWZpqrJmiLusYEZJrhAgJiUxacxbHMXGSEMfJZeMIl5lzsxHFDnUcx3HmBl/MqXbp86Q6Jcl43KKsqH051LH7KuHeD67fSbfqe5nq14yYRQgJ1vXT2E8AJnJFbhi4Sejs7OS+Tz8AGFav38Qdl1wbQyZ5dvFopZ6zGgw6pdDehucptj/3AufOjbBl9Wp8358+VSzUazVGz4/SMJGrnM8C0Xf9DZJarU6j0XASzkqilcDXAl+7TlIjBFopYmmJhcGmhsmJSTwhmczSoL7vEWU1FJUVuqzWeEKg45jy5CQklkqtgRIpHgZshmUSktRKtPTRwsMIxWS1gVINaiZF6ZRA4jTjrcFksZARrhouhMBEERMTEy0qJ8s0guKiZ8bBdowxjE2Mkyvks83FXNQs1kzBxrKdneeO86fP/BShcjxy2z2sTCzyyHHGClXKocbakDlTEUZoan7S2u2nyuUWYcnlWgscs6db3I2owcTEJMboD0H0Z4unjDFMTEyQJgnVSpjxq9EytEuHkpLxiQlXOE5T946kQptpI2kG+q7cIIiilCDI/+qNZVqnPquqa0cafW7kDHv27md8cgojFH4Qsmr1apYsmvehzFALom0do6CQcOLYcQ4fPsIdd27jyNnT7Nr1NiMjIwz1zWnxaxWKRbq7e0ilxhPq5/SzGKYmp4iiiO6eHjw/IBUSz7gKssCipSUR1sltY0kqNdp1ytzePqba2okNRElMPgypVauMjV2gs71EV7FEIBxReOqdJV8o0NZWxElMODSAEKBRRCjwQmIRkCBIcmeRKqGnuwdPG0QU4Vub6cxbDBItxPTJUquilKKvt8+d5FnNYbYdXUtBlERESUxXd3erG1MqhRRO60UJgbCGJ4Y1/+Xpt+jJdfHVO7dyw7wcgyrBsx34YRclX6LxaGt3bbodUrd6hPwgIE0T5vTNYTYgqyXTps9qR1GjQRiGdGViuiL7f4LpJMTMkWSG2NHeTr5QQGRrzlzmZAFaHGmdXZ1us5Qes50sIDDaUi7X0Fpk1YWPz2l35cTgQmCz/oqpqUn+5E/+PW/v2sXqteux0kP5IWGuwOIFQ0jvkmxY82+ZJaClZHxsjMefeJxTw8MMzJ3LN7/8ZdasWAW43cPiqte5MCQiQVouC+fQxjX1qIyR0vNcB2SzZdNikULjixRDgk2dlJ6WIcfOl/m7Z1/j4LETeMKwaG43K1euZvv2F1mzeg2fvXcbo6OT1MtlOnJ5wmIRkcsRao20CShJbAzGCIKgwKFT5/npi69x7Mwo9bTCnLlt3HPrzWxYtJBczuKlCV62cWgUSJd+FgLwPCSgPEXgT0OImhvNdFKArIfeECiBpyRK+U47EovRMZ6QEOb4YPgc33l8F5OR5eufu4+regLyuobKhyB8fOkj8NFCYkJXQ3F4OGcYTSN0ae1PJAAAIABJREFUSIRZTgbrbqyZ1lfKtQwopVCe43QWWYuvYJZ4xFo85Tpdfc9rpZBnZ9bEGVzGZR0EGVupEEjhcbGxTHsdQZDSaMS0XLOPOa6oztKk0XGBJFSqVcbHx/jyl7/Cgw99DhWEpMYSBKEjzTbT1ivcVtGC+dvsBW24ahP/4dvfyuoumauXFW2bGidaZFgunbFzzFrCb73D6QPNJigS6rJISoiwUNA1crqKFAlGBpzxSzw/Xua7z+5gvDbJDVuuZmGnz8LGSXo6O+hevIF4zjJeODjMX//wBWq1Kf7ZHaswXb3MCzu4q3uAqqmw6+R+uhfOZVXHfJRRTBmf548N44dtDKy9lr97cScnoz38wVcXs7ggUbaGwqWnDQEpAVqCZy2+TpHWAAYt3csQxgktCSMwUmTcXAKrQ1TaIKcTAp2iZQGJxE9qWD1FvdDJexXD//HqCSaP7+f379/GrUuHKF84T83LUffbUDZBWoNvYjwkRqhWEnvmknZF4tmrwtN1FtmK70x22k7HTKoVh35ofc38LCmnXfXL1lncz2bNr5kgsDbr3W/9WhM/JjLWX4sj3JomEPlFxxUDKZvpUbC0t7VRLBT51re+xd9//1HypXZyhRKffeghHvr0vfj+hz/2cl1vzUpsE93wSeQuBCAxeBlZXCtFJT1XITYSg8+JY0eZOH2Cb/7avdx5yyYCC0Os4M0PRjmy8w1kkiM/px0zGePbgLjscfjYfn78/gH8L36ZI6Nneeq5p/hffuMrhO2gpSYVDVTOY7JsqR87Rz4fsnDJArxcxtSoQrTRYF1no8IlIISASEkSJUgzw7cChLRoHCWSyTJoQlikiNFCo8khTR4vNSA1dQVxvpczicd3Hv0pp/ed5hv338M9N28EY0mkReoE6c41IHNaPrmk0T/ZccVqxa3agDHkC3l+93/9XR48eozxyQoyCOnrn8vSZUtQnrpiIKXbPFymSiBd2zR8ZAHy595r9lNYi2enjaXVoy18hJ9HpBLShFAk5DO5RCUMSRyTCEsDTWRj1m9cxs/2naIcpazafD1DY2c4cfgUP9xzlGMTk8xbdR0D/QvxjCE1VZSfoG2K8ELa2kukwwmTk5PEiSEJBKkR+DgfW1hnLM0qZV260wPhCpnG2qz/xjq+MsiofwxS1EmFj7GhMxYaJEKTFPIcIeQft7/Om+8f4YEtW7jnuo0UJGA09bROPvCQLt2Hw364FOsnVGP8JzuuGO4C0y8y1Zpnn32W7dtfZOGSpcTaMjZZ5re+/lv0b1gzK/J1tjGNaKa1GOyMSqw7/mmdarPZkGydTFkSwjqYikAirca3LiZQCIz1QUoio/CEZe3CAd7fG/Kff/IMr0/EDPV3M6BHMW1zOKtgKGdpiAjjlRk9f54DJ/Zw49JlXHXNNfz5q7uQxX7uvWUr/W15RDyFL2J8XSZslCmU5rN8sIcje8qMHjtCVLmKsLcNIfwseHUbhDTQRMxKK/EjSy4WBMJpMRppSSWuvpMkBMqHJEL7NQxt4OXR1kNJn9jzOWN9vv2zN3nqmZd5+JZb+ebtV9PrJ8hUY3RCHo1MjYubhIPZtxAEIutgbRIrNt9xU8F4lvmb2SbQnLOWJ5LFFzNZOC/9DDvjs8iC+iYy+9JEUVZ6ugSCNdM5n2nuWToRkX3ML19z+chop4XvaRWALGOjF9i9ezef+tR9/PG//tf8m3/zb+jv7eX7j36feqP+C2YbsizJjOKjU2doFphMRiQ3+6060N4M4xSOK0pbhTXZxBuNNRZtJZEGaxVCa5YO9fAbn/8Ma+ct451X9vDUD1/kvbf2Q02zemAeiwshizzJHUsXMJRGnNmxA+p1rrlqHd1tORZ1FbhqySBKG+o6xuiUDs9nTV8v9dGzvPfaDtYO9vD5u29lXmcJkcZ4Msv9W7dQNaBNJl6kHa5NJhbR0MjEuuukh/Z88HPECVhClFdECEkU1dC+pREETHkBT772Fs8+s53r1q3i4W3X0JMD02hg0wSbZhrzSLQGYzO2yOZxngE3TUYUorXG6DQr1M4Sb9im6JJtAUCbNZ7m3Bht0Npk5BKzbXcZjYk16Nbvy1nXtbXTnAvNlHQTtDn70sqEobJguBnnfNxx5WJGWQpWSI98wXGEvfHGmyQGqo2E0QsXuP6GGz5C+uBKR9bP0mgwPj6BNgmqJd98yZWZyFKlUiGOIqedIhXGCpSwKKzr37dgpKOcFX5EPapB+QIb5vSz6p7rGU0VUaoZUHVEsZ2rP3M3eWnonTjLg8uHuHnoYez4OU6eOMHLhw8z15T5zOqNDESTpHHKeVEhqMZ064Dfvv1Ojuc8xiardAY+C7uLiLGzNHRKKiyp8NB4mCbhAhqBoZZERI06lWoVZeskSjAuDRfiBhWr6S120C5DcimIikUnVbSpcLY6ymRc4IX39vHYCzu4emiA/+Gmq+iJRimXqwg8DA5GX6nG7qSQ1Swums4eub3XBcTNlHWlUkVrTTg1OWvM3eQdtsZlO6MoojxVxvP8VpuBu2Z2AKMxhmq1lhm+y1iprD/mcp5EtVptXWeMuaTnR0z/nRlXrV7HU16WZPj458sV11lAIKxGpymdPT1885vf5KdPPMH+/fsxwuORRx7mhhtuQKnpI/jjjuakhWGOjo4OrM12xFk3EPc9SgoaDZ+O9jaUn6NhFMpqAmEROnVFKxWA8jBWE8gEGUm6/YhCLmUw6AK/SD6KqSiBljl8m1JIKoRekZLoYDJvOFuLWbxgkJuuWs1dy1aQtynWk4wFPZTqhlwVUB7FOTnOecP0eiGD3UUwHqQJJkqxQRHrhaRK4WK2hNgmNOIqMk7IdbWTkyFTwHv73+UHL29nMo1ZPriIL37qQQa7OshFXQRmnGptjFy35Ln9Z/ibJ19l0cIV/IvP3cK6PkU+GkPkPbQpIVSBVKdE2s1pqaMLIVyq2Bls848i1dNuUardnLe3t192tmSzYCkEjUadNNWUSiXCMHTGZ3Vrni5dFmmaEkUR7e1t5HP5jDRRXnYNCSGIE1c07ejsmIW1s+naiybQGSkVSZJeFhVwpeMK4C66dUMTkxPseOUllixezPnRUYSAFStXIFTAuXPnOHL0GKuWLWrd/EfemM1+XOLLGiHQ2XHpKeXY0G2T+FpmDT2OtE5j0UAiAxpSsvfEFCOjR1ixdhEL2zsQcYRWPngB+06f5eC5YdauX0F/kMNogecFGGWQIsEaQ2RTPA+QGmtSUgKEp0GX0dRZOtDHVWuWY7GMXBjn6OkznC9PQmeRTYOLGCyV8BoJ+bhONU3ZdXyE4KBHLk1YNNDLksEuJqM6B46fZCQCjUfJV6xZPEBB5vCoghKYICVQMRuXzKV37iP8dPc+dr79PrdVGyxsayMn6hglqKp2dh4Y5i+fepGu+X18/r4trOsOyVcm8JWiEgb4xnfnspAI3GL0PZnl6jMapSZqLSsaI0RGUiFdB6y4TEt1Fp/IGRB9sJnGZdZKPcPzuZRlUqMz3c0MUmVlSwZ+1qQQuBOC7PQTbl3MttaasaHnKxK3A/xS/BBX5DMpJdE6IQg9Vq9ZRaFQ4OixoyxZspj+uYMIL+Ct3e9w/MRRli9dgBTexfnzi570kjHjhTT/t1PIni5kKSuoqBSDpKsCwsszplP21sfAV3SlIWJKMDIl+dYzr9Azt4PfXreY0+cq5DuKRPmAxniNo+WYv/3Za8wZGeF3brkV5ZXQKsCXbYjE4OVzpMVuUgSpcVgx7UEoLDldI4eikNYIIp/RVPHtp57nzYPHWbFhE/uef5vVg/v4+iOfYWlHSHsjolgd5/jeXQRDG9h9cJQTP32br37xdvKdeb7zo+0sXL6aVQNzmFtvYBPL+bhB2vDpVCUuNCpUkwrFUjeTYxPsOVbjqmtvZkl3O93VCUSoGJZtPHPyEH/13KsM9Hfzu198gK29Jdpr45nLXETqAGsirIiQQiLRrmfI6ot8/WazXMuln9GD1IwfLxcbtOosNOljbauQ2upktE2ixUunf1o4thmHzEwWfHi5TPezuLU13eBH1qjXzB6KZsxC1vrRzBB8zHGFYkYJUkrCIIfn+fz4Rz/isR/8gKuu3szKVWvRCF56ZQdLli7l9ptvbIElZw7TJNC7yIqm+0CmMzKz34cQkkRYoiDkrf3H+d7LrzLc6WM8RXRshGuHVoCf51Rc5c5b7yGOBP/h0eeIe7qwHT65k4e4betWtqzdyLP7j3JgaY3FbT6Jn5ACDTz2fnCUPSeGif2QxLqUqtQxBWlYu2wBRT/PAmNoF4bqRJn97+1j8Yq1PHDfHQjhc+CNHUxWa+iSj5aGuUHIb919N9WhBUyZtzhw6gOsB6GFUqQJxqpof5y2wR5UkOOVt97kmVf3smHDNZw5fJwV87opDM3hxy+9RqLaWN7RS67WwBYNJ0WBp/cc4gfbX2TN0Hy+8el72NhRpFiv0vATjCfwrKEQCbSSGPnLuSD/PQwrLq4XXVo/mgbBfLxx5ewumW5jW1sbCxcsZE5/P4MDAyxavIjUCtau38DKVavIhZfXlLwouBICmmQGGZw9NbMUx7JQpZhCXvnsrUzxp8++QDXfxZc++zD7PxjhB3t+xIYVi9m39yC5tg4Gu9vpz+dQS6/lr55+kp6lXfz7B7Zx/eJF1M1hHn93lNPjxvFiMUGP7iEUIX2FHga6Q5JckYb1kUrgmZgwjekudqHiCGWqCBVgTI0kVaigEy0Ffls/NXJU8YlVQIBPJeiipnr4wXPv8eTL29l283ruWtlPfqrKwge3cc7kefSt4/zVS8/zG1/rZM2yq3n75aM8u30n/+zeO9h24zpOjZ7l/ps3k0sEg42IILWM5Xy+s/swf/ndf2DtwCB/+KUHWZPLkavXsapGRSRYGWA0KCFdIsHqf7JFlOYmay/5N5f9csVcK6av+ZUZi4tXFEmSoBR0dHRwx7ZtlNraiFNNsVgkNWQy02VyPZ2XDe6bx7AQgonxcV568QX27NlLog0333or127ZSj6fa0mr2Sx7YYVFJAZlQVdjGrWU0pwSY5UK779zgE4VsnpOJ2OHA6oTDaJqnT3Hhzmwbx/FXEAxVLQXci5rkyZImyBNjLI5rLFURI1EGPaf3seL7xygInIQuPuQSURBJBh5NUuG5hBLn8QogkIbuUKJyYkJzo5MMnxqmEK+RGzg4JkR+gLBWQE/fm07P3lzH4ND89i8bhNhLGhXRYb68uQKIX1TdernDnNoYoL0/VPo1FJo8yh1wpywysqhgPy85XhpGzEw4hn+6/59fPe551k4d4BHNl/HyiCApE4axhhhyCcyI8AT1AKNMAYlhetdz+Yhg098yNVpBuvNztWZ8zDbaHo3xjqB3CbtU3PDlFKSNlkmL4lNm/UYM8Ptaq6d2T12V2awGTLZWcA0SvkiY2m6jcK1sBusi4Ob7DpN9/KS7/154wpSx+7W/cDDaocQnZyc5Mknn2R8YpIL45OsWL2ODw4f5qabb+FrX/0Sge9/6IXqJmexco1TUggGB4fo6e3ju9/9f/m3//b/5P/6kz9h44b1QIZOzgI3KSTkckRGsrBjDnes38SzR4/zd0+8wuk9+3lkw1VsDvvwB+Zx4PBuHn38x+SGL3D18s3cetdafvKzpzjyzi6WF0vs3bebvg7BxqVdBMkkeQoUjUtx3r1+HTesWkesFFoI4tSS9ySe1QRSUJ0Yh1xAKhVtpQJf+ux9PPGzHTz+3e/hBXm+cv8dhLrBP/7jj7hmzUo65rZx8N3n6PL7UPWIn/zwWbxr1jNQKvKjZ1/kdCo4bSJuXdRJfc9OTp7RfPOBOzkyfIwjr73ARG+VhfPnouuQWMWwV+B7O9/jL557knUrlvDNe++la2wSL43wipbYJkih8LQP1kNLSeJbglS0tOKnpc9Fs8R10WjKzwkhwIgWKPKyei4zisVNkSTlqUw645Ia2iy/L5V0Ak5yWhlNSjErsXsz89ZkwnfXuXjH7Q0z623uh9YW5XnYKG31yVwO/v9R46PdsCw4M03uXeE4uqq1GnfeeScvv/oaa9asRiiPw4cPOxTozL4UMiiJUggrMg4wQUdnJ5u3bOXokUMMnz3D3IG59PX2ZqeKK4jV63WmJifRaUwkIcbn3Mkp5g718Kl1i/nRO28zKcusHWinUK6woqeNxQMdnJk4w2994SE29MzDSM22RZ+jI0rYt2cP+47sZe2tt9IhU0SlQn08RzWIMTZC+QqrUoTV5P2AQGbqU8qjHCdMRBXaRIAeS0D6bF7UxfqFn2J0oowf5OgoFjCp5muf+ww532dy/DR/+KUvoDtXExkfpWO6vAaWBp/54l1UyVEQHkOhQFfHmJIRlarPfYPX4W+9mi5zjskLZbT0GWm3PLZnP9/54dMs6u7nX16zhcXScDYaYTRJYSwhkBIvlUTaQ0tBIgVRw+BrgWfdyTJVLreUwpoL6qLplm7nVhkgcqo8RZpqwiC4pFLeSga3TiohJPV6nYnJKTzPb8WuTQm/2da/1ppKtepqNHHkIHxKZkXQDztNUkgq5TIWlyk1WZ3NNmFBZAVIgUNJCMVUuYpUPpAlBy7DCf1R46PdMO2MxGiD7ykQHgsWL+HXvvBrdPf2USh18PKOnSg/5P5Pf5rgopd68efYGS8tatT52fbn+e7f/i0DAwP81jf+Of1z+jGpawNosjkiBUhBiBP3PBePc/zcCI1Rj5tLPuu+8hDrhuaR1Mt4Ycpv3Hc3Y9VJhjpLtJkyyhg6hEV6PoO93fzmFx+mc7Cf9rhBTUco24YwHgqDSixBs5KdNiBrakKAbyUNDb415IQBIqxuUBCS3u4AbTTWVtFYvEKAsYaUgNBrJ+dZIEZRI1DjxCKi0yvQMIpcElBoWFRYRPiThOMxc2wBYRSJLDEZtHNGhHzn5fd56uVXuWXTcv75DdewtpCnHk0h/JSqSigJD5kIPAJSXxJjEFJQMC5usVgnrUEmKSglQimE0S4D5Uk8I0AYEqlpKIFnFUoFCJ1glMIaTZAxqaQCUmlwnTsStEVYCIQiIENcqIwKyZoM7zZ7WV5JJ5SllJdtyhLVPMhES5TcGaQEvCxVrBycxkpBYgWBNXhSIKQlFZoJU2Xf4SNUyg3WLV6HTh3/3McleLlCTUmBUj4H9u/n6SefYGJyglwuRFuBkB7FYokgVyCfL8zqbDZ3Hof4Bd8P2PP+Hv7wj/6II8eOcvdd9/KjH/6AYiHP0qVLXSoSR7JXLLWhdYwSkk4k83q7eHA6SwDCEicpU9KQizQre/rwB/sdROOSnWldW76VxqzKOnHRJ9decAY+m1M+A+NktKZR9SgWSpRKbdPQcPeEXJzpd/WGtKIIJHS3abQ0JAis6kVZSwFBlxHInIaSQIg87dX5xIWzFLpTcioilh6n/S5+uv0DHntiP7etX8u//OzVXN1eQTQEXpKjvZyjJ9eDUj4+khwSkWi3iLCkVqMEJMpifJ9wokYkLB09XdR1Si7Tgqn5hlI5AU/TCBRTqogXKYK6wJeaXEcbyhqKkYEkoFrI0wgN7ZQh1nhGQQKJCDC5mGKhhCwGWOnomiQWT0surYikaUq9XqdYLFIqlVpE9NK4dLARFiNd4dTxt0E1qgCCYkceLCTSQwqfdptAPIVRCYcqJ/n+my9wZOQ82277NGlOolLwhcCoixWer9Qlu2IgZRN57PmuSadWq1GrR1ihQHn4YYHx8fEMe3Nx4afZoON5Tp/FWMPg4CC/93u/x/jEOFGU0t3dje8HF0mZNUO9VlYD6/RdLlrQZGDL7EAwBrSeYbTTRmBmvKDmL9sZz/aRzz/LtXbGz0t+E20lGomxnmNRnBEESxwXc5OmCanQWpKzMZiEeljiUJzn0e3v8cRz2/nsmnn85mc2s7Atz6T2yWNJ0FjhuNW8VONL0EmElBatBLFNiJThfOU8Z2sXaBhNbwzSD9m9/xTtHb2s6F+AlIKydc1rnk4JqikdgY81ihhFTExbEiG9hEaYEgWa4Xqds6NTgKUnbGNOqYu2MI82goaEvLD4xqJM1pNjMwzYJeuyxU19yR+T4dQsNitqCodKNwKpXVOZ1I4aN59YwvokJ8U4708c553zB3nr8C4qp87z8C33c2PnYsKycvImvwT/4xXTt4Jg1erVrFqzlrhW5s++9S3273+DYnsHZ86NglRcfc01zNaJ5nlea0dXWUFpYGiIL335q7N838UW77rgmhCGj/+gzc+89LN/tdlUgRUeliYbjERhM2I9B7cXrT+GQBiqVpEWOjlYMfzpj7az8623+dy2LXzjjo0M5iw6jYkpksgqafaqlYZAgGc0YIhthBaKSWo8vvNZXnj1RfKdbRhPsdgUWbN+IyemxulNByl2Fnhl504mMDx03R3MK3biNVJCLFFOkeQVdTRzhUETcyo+zw92vcRbb7xF3isS5nuY19nPw9vup9jZRq1SQ7vW9wyy6Z5VWUdPdaXDCo2b8OnTSOhMSMr6Ln7OiPUkMRcmT/P8mV18//Cr7L5wjJyQ3L1gHbetuY6+uk/aENApMf7l8OsfPT7SWGYq7VprEDpFKMXnP/8FHvjMgyA9JitV/vwvvsO+vfu4967bUerDLC8tXE4z0DMGoTLN92zncFkXgTs8xEW/6/5lttrNdLHNZAyNcJntQ0yz018sO33Zy7OuvZ/7ii47DAJtmnJ6WaXZgIdqfT8ZRF5aTWiqlPO9vH+8xl89vYOzoyP85iN3cf/m5fT5CSKKCa2PR52Gb1w8Z0Fog6c8pDFYacEz1GXEzkNv8JM3n2T14Fo+c/fDhKUC+uQpKrbGiep5Yr/GG0df45l3n6Jc9NHhJHaizGB3J7ddtY2Xdu/j0LGT3H7VFhZTIrGCHfv38oO3dnLD8g08suVeSoU2ZKzpL7ShopS89Khbx6tmBegs7mhulrNMIE2a2hZdrXWsN0KQSSYKQCGtwmaVRyPAKOdVRL5hbEgxVdYEvs+NKzbiTcXcsvgahsI+vJomEtBQEiksuV9VNmymb6dTjZKSRq3GM08/zQeHDhHmS4xPlTnwwUHWrttw2T75mX3kTaNxTUwi65W/2Di0Tmfk3zMNx1ke0OkGZkGraLpVMNsKn5lkaPa/cBkEhHE4f3fvUlx8TfO+sqDFFcVmi3kMhhRtXC+JFE7rUghItUX5PghFkjpWlnoYsvPQJP/3j7cTK59/9Wu3c/faAYqmjk49YhESmATfVEk8JyOhhHD9O9LDmMRROePask+dOUmqY27ceCsre1dTpUbQaXn36Lsc2L2bhRuXc/3mzcyZ345fkGy4ehU7d23np4deY3xQ8fLBPZRMG/m8D0IQW8GJkQkC1c6Wq25hcd8SQhuTy3uo2CIjg0hBpDpTCRZokamvZS7Upa/adYNmGLLsvWYqk04WUdCqGSFAW01CgpaWSMUIKThSP8+3n/8HPnj3fR645S4+tXUbUydHGCz2kRcFJkSVqmcpeDO5l38FxjKTwqbpYvlBwMDgINV6nVojJl9q5/Ztd3HTzTe1TqJfCnXc+l1HRq6sk6mbTVNSqSxjZR240lPK6UTOiiuipTuZJAnKU5lUw4clDqTMGrTktPFJpTKJ80yCTTRRCbN3hiolkNLi+SA8D0HWWyElQli09FxM4wsSz2f7vqP81ydfolQs8sWH7ueO1b206ylyxpAID6s8yERWcwpMHLm2ZM8D5bk0g1CQMc/0d/QR4nPs9HEWL1hFWAiI6mWQBiVdrFMMQ/IqxNYjOrwONi3fwP5D7/HMu68TG4+tK66j3yvhCYUX5Oju7iE4YDh1/BgTXfNpUwptU4oyhwo9l2rP8FtCiIx8RCGta8r7cCrYZBudmyAplIPeYzNiUIm0iia3tFQSWfCo6yoNEfHB8QP8eMezjFVH+cKdn+XujdczILsIBnsR1sPgYWQMpCjE5XyOKxq/UPOJqzFZfN8nTRN2vb2LyUqNxMLxk6dYvGQxHSuW/rKhRfPbqNfqjJ4fxVhHhXS5YS1UKxWSJHEM/kJcAtuevq7ZsKR1SqPeYGJ8HD/wZ7l2mglEa1fJrlarGKNJk/QiY2E2Y0FQrUyhPMH4uHZBvZCk2mKkh/UCIgteWKRaqfD4rv38u7fOcFV3kW/cdyOb5lg4f4GKNsQmIjAXSKWi6hWpeSV6khHSOCKqVhmfmESpHMIKjI4hiIj8BivnL+O6pRt54r2nePrUDtraiyyqw/yhAarUSJKUZNJQqHcydfwErz/+HtevX8oNHZv4sw/eZfPizWzsXEn3iYha3xijpQYLlvSxcaSPF199jLd3b8fL9bOwd4A7Nt/AUKEHW0upmghRryAaVXxr8bJAP86KlEzvhRhrqFYqCCBqRFlNTmJN7N6jVQjrBJSMgNTTjFbPM6knefLdJ3jl3VdZ0jbAH2z5HEMLlhBVLMN6Cl/kUFYhU0FUaeArSV677/644m1XjA0DWo0250dGeOyxx1iyZBlf/dqvc2Fiiv/4n77Fo4/+A3/8h7+PLxXpDO3zX3Q02USaCzuOXcA6a8yS+XZxEhPHMVEcX5wUuOja6c9P05RGo0GxWLxsNkwq2TIwaw1R1MhqQNPogtlTx+6dVaMIZX3ydYPVFuunaBlBkuAlIVIWOR4r/uLFfTz98g42r17Mr9+ylWVtBdLJCbR0Qqk5IzCJwtqUNFcltRFRo0rZ+IwkHjmr8GvnCTPB2WqSI/UC2gpzuW/LPWxaex2j5TI61eSqmrl9c1nWu4lcrkCf6ONT197F1SvHyeNjUYhcH3P9HjbNW0EpCJmQKQWbgwqsyA+yaMP9nFp6gdOVKZRoY64s0ROFyDSlpjVTtTphmKckPIxOaYiUxLOk2SkCrrXCWleCKdsIdIBOJcK4kN5kp5KKE2xahZwgUYaytXxQPsn2HS8xfOoUN265kbs33cQg7TTKEShHgxWnNTzhISzEaQNfeEDixJU+Jh3SL3SySOl2bT/RgtGNAAAgAElEQVSjaT12/Bjbt28nTg2jo6NEccz3vv89VixfzupVqwnDgCaJaJPZ8rKj5Uy6v5RSlNpK9Pf3o3XiXLDZilrCxRflcs6R7HX3tBgdL/sVwgkNWWPo6+tzTJizuW2txjfH9mi1pdRWotT2UXWW7Du0QQUhc3t6EToCElJpiKQk9UrsOnGe725/iV2npvi1zz/IF5f30VGvsaijAymLNEKBL3LIxJCLBIiUNlEjzmlKZoBQF5gQE3R29dKtPISugPKo+kOkKKxOWSBKrO3PyMyN4tzIGL4K6evuw1pLYmIWdgwS+JJKY5LX9r/H+ESdB665g7vXX08+NgiZUOjvo0tK/DSFjgHGTryHNhVuv3ozA34HItH40mc0rmGVpbe7m04ZgEnRoaCmUmJd452973Lk2HFkLseCBYvw/Rx7D+7ltq230Dt3AD8FqS3WCJSnQEdEMiIOE07XRnnhnZ28/s5uett7+fqXvs41S9bS7uXxUpc5a6ELmi3TCMrlClGj7viq5eyb7pWMXyB13CS5M+RzOW668Sbe3v0OO3bswAvyDA0NIZXHq6+8SugHrF612kEX5OVvbVqsZ5rLaWac3DxZXJ/3zzeW5nUmI7z7KGNp9k38vD5uMeMeXV/69HdcibF4RuAbSSzKKFvDsz6+6GTEy/P08XP8u+/9FHFhhD+6/wEe2rKOqUaD6uQkMqkjcpZKFHH6wmF6S13Mz3Uh0xijElI0w9UqcVIn1BGqUcHmLUL6lOOYs/EIQb6dApb2qsF6zTS5RjQShC+xaZy5l6l7PgR5WWDL8k2sX76OSjFHaCRpNAkyYdKWCb2AnCcZGTvNk+9sZ/7qFRwdOchLZ88yNDCf4WOnGCj1MtA7B+sbyqHLPHrW4FmomgYHju3j7Pg4m67fSvtAP0J6XNhd5p1De5jb34cyHr4VCJM6KExgmFSWd84d5LEXfsLw8VNct2IDD954N2v7lyKqCSQpRk3PRmuyM2MxWXPZLzuuvAffuAqqMIYgDFmxYgXD587hB3nqccqcwSHuvvseBuZ0O2yRUg7tmWVsZhvN/mwh7HRn3C+RGPhvbQhipE0QaSdWlairAmdqPo++/i7f3/EaPV1tfP2Bbdwzbz65Wo1qEuNJjVUpOoSdB97mJ889y9233kVpzXUEnotftr/1KoePnOX2a2+j4IWIIiQKrPA4NznG3+98hq6+udx79c30EWCNwCrn8xthST1LojSJ0C64BqKsmJz3ChStQJoUheHdgwc4/ME+JtsVZV1jw8o1FD3FeFph68IFMBXz/PsvU309ZtPS9ayYv4CTJ49w8MgHpO05LJagkbKos4eu+Z0sWbGE+Ogx3nx/F+8fP8Kdt99LcW4XH5w6ws16C77M4RkJYUqZOgfHR3hu3xu8e3gv3aUOfutzX2Fp+1w6yUOkMSoDVX5CkfLPG1fU/NVi0kcgPI8L50b5m+/+DRs2buLBzz5MYgx/+h//E2eGh/nf/tW/aLHpOwKiS+olxiJaXXVey+1KravMO3txaNdpKYFPZnyoKDlTaevn/p5ESntRR9+H4rEPzZVAeHUSGkg7REWWeG+8wZ89/QKvvfsa927ZxG/ffTtrcnn8KMZgMGmCVgmRjCibBq+feodD6TC507s5OXGGtQuXIX3Jj959mavW3ozt8nnx1RcYqi+ht2cuhw4dpK+jm9LSbp7e+TO6BrpZ2LvJxWgWrA8VP2VsapTxsIFVgjQ2eNLDpoJSrsRcvwO/FpOXgNR0tuVYc81qLnR6/MVjf8twMsrWVRsxUlKv17hw+iQXKmM0NCxcsZiBgQGoxRRK7ZQLPggoaksfPsKzLBiaT1fvAM/t2sHeYwe5Jt5CLFIiGVMTMSU/JFaaU9E4T7z9Ai/sfIW2zg4euPF2blm2iXkUmTp1AWslpkMyGQh8K2hLPkxI/0mPK9ZnaSnhZqdGZ2cnhw8f4c233qQepVQqFVYsXzkrZdF06tnl0MlcmeMnjvLk009RrzX4yle+Sn9/PzNBLnbGf12+n+Lyp9Ys/3jRPTXlGeyMb7v0+kvhPq1ipvvyy9Z0wFCTRZJcB5ENePa1vTz64k7iguD3v/Qw96xYxAIdI6tT1AJFGnokWhLZFKRgdHyE4XOn6OrtIF/M8dIbrzAydo5ibyeTUrN+5RpCX3Bq6gQ/+NkrBGEf63qWsnHeCgpt7ezMv8bes/upzNlEqAV4kIiEU+On2XviAP5IDiMF1kjn+piQZQuW0zGnSE5IDClKCrr6uvBsjbfPHSCRhvlDi9i8+Comz1TZs/1tFszp5Tfv/irVap2ORgARdJR66OvtRQQBQrhMWCCgUi8zeeoUR4dPMcfrYv1tD5IvCybOnGP9qrUoX3Fg9BjvvfcObx/Zj/AVn77pbm5YfRXzCt0UEkBLtHEaO57INHg+CR/rCsYvlA1Lk5Qg9Onu6+cb3/if+d73H+Xv//7vsdLjvk/fz0Ofewjfd+7XzN26uRM35fGEEJQnJvgv3/4233/0+3S0d3HffZ+mu7vH6a7TrJxfEvXPVveTonUaXXRKzHbtpaGMneU6O/N6d8F0ptO2bqfJ3yiaV1xkNBYpLLE3wAdlwY8ff4rnd77ETVs387V77+La7m7aohQvSbE5A7KB9HJIz0MJhRKG4WNHaYyNc/c9n6Kndy6ndu8nXywSCYsNA3pFgTk5QaFDsffMCRZ09rHtnvvZ4PVxuHyAbl8QpTUSz6coBdAgtgmxqVKOxvDiHLGwpLElFHkKtBGZGKMMNgxJZIySAivh+Z+9wLNn9rL+qqu5d8t9zLOd3LvmVvYdPsjGqzcxv9iLTVKkVUw0atTSOiqSdKQuVZsKQ8O3FL0OtqzawqaV12ClC8DfPvIuy+csYGhoLk/seJoXX38FIyx3br2TW9Zfz6J8H0Gc4NVdbGs8SS1wCYuilbTHFiVoBfMzZq8Vs/wyNb+Z4wr0WTIxGAuerziwfx/bX9iOzjJJ//sf/CFLli4nzAckiZnuYrt0ZFtxE55SLJX4+te/TltbG48//iRa61bGzBG2OZWweqOOTi+fDRNZs1IURURRRKPRyPL0s1lL6wdRFJEkCY1GIwt0p8+x6c/OmoVwMJk4MTSiFM9LcFzFFoTBkmBFCkKijUSqIkZL3jkyxl//bDcnyvu4+56tPHz9tWwIfYLzU6RWEAeCSqOO50WQ1GnUAuI4YXKizKmjZyjFIQN+F2cOncSPLIOdfUyJBFlLOXTsEK8PH+LI4WOsmbecRiXh1NEjVIYKlCcmqZ+fYNGi1dTqZUItESYiVQlhIimaAFO3BL6HwEOmHjJOENWIpF6nbFMiYir1Kq/v3sVrb7xFMNROuyhx6tAxeroWMNDVx5yr+zBak4xMoYRPJDUJlnqUUotTx8YvwJAQ+xadWiKZoJWGHFRpkCt4xLrOYz/8B8aqZZYsXM51m7eysXcp3TaHmawSx4YYiQk9GsYwiUZqTWe9gYoNRglS7xK5dOsKx9a6uW6xYlpmX59XMD4a7mIiBK61eHJykr/5m/+H8ckyjzz8BR577IecHyvzO7+7Fg+wUrqKLNPu0czWTeR0BskPA8cO09+fVbuz2kXm2hhriKOYarWG0bGr/s522lpnMPV6gyiKCPyKM7pZXkizQ84YQ5LVZWq1Gr7XZCx0cnhWONpYR+8jMdoRzzUiRzjuS5c/0jZGyAZW1NEiIlU5TK6LD06X+cnz7/P6nrdYvnqIrz3wCGvm9NGRxHj1KVKdkGLQiSD1BPVYkWJIoylq1hDaHCuWb2XRss0MdQ7RFpUYuK2XBYsX0ogjzr1zhEf3vMTWNRu5vf9h1s9bwvDpYQLhsTcZ4fFduwllD+s7FhNFI5R1HjKS+cHcfBZuWEpbWykrrIrWRmaMgWqdumiQNhIilZJv6+GObffT3t2JSTV+HFM3EVPJFF5kyUWWuoBUCWIgEpaGrjMZlWngkxOe0/WsQz2AmmxQo8a+I/t4+Z1XOHHuFG2FNrauv4GrFm+iPzcHWZWEY4YGNRp2Gh5l4wZCSrxKAyxUVc3B/5XAxqb1HG64epgxhkaj4Uj2cG0LH/ecuYJsWFMkxkFExicmyBfbMMZQKBR47/33eeqp5wjDkKVLF7Ng3sAVW67OTqFcLkRnLctNqIxSMmO+7CHN6iyzxUNNMg3P84miiJ7ubjxfXT7GES5hEUURQgi6uroJwwKtKEkYZzAZ2ZtAYY0kTTXCaNpzOTo7c6SyTmJThMghTDtCdjCZ+Lx7ZpS/feZnvHnmBBvXLeB/+tSdrF0wQKA1YZKQ0zEergXBSEEiFWnmmsblMn5q6W/rZUHfEFpoIh2xYMVcjDCkNgVjqV9zMy8c/4BNC1ZRqmlWds5nY/8SatZwZOwshdTn2q23c92yjfhRgk8OQbM1WOB7Hl1d3dkbufhFCQtCSRo6QocCL+ezjITe9l48FB4CEo2nBZQUNR+kNhRQdBigEVOsJ/S3dTlh3oyS1UjBMVPmzMQYb77zJm/vfRPhWW7dfAsr5i9l9eAK+r1evLokUD4iAMNsQbuAbG56e/talLHT5GTTxmIz46mUK8RRnG3Gv0p9liY+wEKxUOLhR77A8eMnGD47zIYN61ljLOPj5wHB3Ll9meV+tLU0A+Ztd2xj5YpVDA0NkSZp1qPvHlLKLGOlM9dslqNFCqcS5cgAdQZlyZIRlwyXJs0EZY0hjhMMljQjZhBOiwuBQWQaI9a6FyyNwaZVql4DT9Xx45Sc9UlVkUnaePPkFD/esZs33j/AsuX9/P6vf46VYciSIKA9jsHEeMoSkxCR6SBaCRqENijpoVKBiCHQHqKu8QV4MsRECdLzsvqR5uYl17Bu2dWIRFOpjpCrSlQsyUvJ4vwcfvPTX8aXHmGsCKxPkm0Exmi3KSGyxM3stSUlXRuBjA2qZsghKBQUQoNnBJ4JUUagE4tONUJbctLiW0O9USdJa9S9BqkfcS6Z4uDZk7x/5ACHjx3GJJrlC5fxhfseYdngYrrDNsqjE3RP5SnmBTI1CKlJUoOeBZzaBPQa6SBL0wkYPeMJ3N9CyJYurWmWKZrg2Y8xruBkURiTApDLF7jjjjsve60Blxq+wptRUrFkyRKWLl0+oyjoSAaarpw1GfugmJ0c3GSNYq02ZNy7mI1bt9nAJbN6jlsYEqHchuAQSNI1KhnhJsA24UzWMTd5hkgIUB0Ir52RKODZdw7z508+w4XaFA/eewef3bqRZTmP+qkzBJVJCh05UqFJdAq+zPIKEmEkqgndt4bUWlCK1BoCFWQGDFL6jm3fWIRQeErSpSQ6jUmsD9q1XysEgQxcksVYJ1qrDX7gkRrdOrVllhSRs+Dt3DM7NLi0ggCFNcoZsLFZ9snNjmehPRGAcvtp6BFLj6lUUKXMu4cP8OybL3H07GnCthzbVl/D9euuZX7nfPLkCK2PiCCqVVBSIQseRiVYEWNxpBcfuj9sC4ZkTHPuBR8SKcoAYM2CNfzyJbyPzoZZgZQzgYYXR0iXJpRmAzDCdOxy8b81F/+HgYgtCYkZfvXlkMTGTJ9UTaDez1OZuqiSby3YNMtuObCSbSIGhOfiF+XR0JpI+HQlOQLby1Hr8+zek2x/ay/Dw6fZvKqXT22+ic3zB2kTdbzIR8d1Ak8idYr03AK0wiUqrAXRVEPOFl/sGSJlSDyLlTojJXTqvQ5VPb14pHF04hGQhh74Hla4xiaT9QdpASLLTjbnpklUMRNNfuk70sY4mUEEAT6RTiCD/ltpSVVKc+Y1Fq1gLKlwYvwCB84cZe/RA9TqVZTWLOqayz0bb2DFwiXML/XiWw+ZSjwtkBp0bPGsBM+J40au4ccJ586SpGk2IjaNxLbWxSXXNp+tWei2zfX0oY+84nEFqeNLPn3WbMLMG/3vrQLv4hRnKNm/iIxdRDqlrlhIIk/T8BuM2k6OH6vxl08/w6tHj7B25WJ+52sPcftANz3RFJ6OAU3kWxq+K8AWPOEk6KxFGtkMAZFZe7ELFJyLKEhBaKxwNN0AQjjCh5mOpcpqPqmyNDxLoLLA1Vi87FFcxT77+F/onThDcabnUrw2ECTCkIoULQwpKVXT4OD4MAePHeb9vXs5e+4c+TDPksEF3HHtbayft5yBXCcqSRGxwdQDd6Jb3OI1GiNStIrRKsHIMHN7P9li9Cc1PgF9iEut+r+9h/zwEK2fEusWI00AXtbZKJysXWwEBAGNqMG7+w/xd0cm+WD4AlvmlvjPX3uIDfPm0pkPIGpQFSEizOPZBM9EaKmp+jmKnufcKGvxjFM+bi59KzJNEmsJjMY3Gt8YVMZK30q5X/JePWNIssDWSIORrvjnWYuaYSxaTj/vlU1Nkyjc+fxCKSQesdWcmTjH8fMnODZ6nBOjJxkpj5HmFHPaulm/ZBEP33g7g209eJFkbtccciKPaYAWOayS+LErUlqlsTLGKI0RSdZvkuChkRqk8bK96/+fYuOVjivgDfuo//3JG0cTitKE0hurkXZ29E+zeOl8UxfEWq1QWqKlRUvjWlSbQTvuhI6Iqfqaikzpq4MWKXEAFU/gaQ/f+AS2SD0VvDFc4a9feoWnP9jHdV0l/vhTN3HTptV0CoOIG2hcZisVzvA01p0kIkAlEhu7tIeUkjjVzsURmZ9tm4VPi9QWDydga1LjCneZ1kxTAtwI17QVRgn5OKUUGUp1jfREq4GqGbpblzjCmBCBj001Ng2xRiAT6b5TZO6gSUE6TFZdVYms5XxS4YPacQ4On+TEzrMcP3WSifEpuju6WbNyNfetvZ6r+5bRWWonFAFKCOrlGuNTF5CRS7ygsjhIWLRqNGcte24F/197Zx5kV3Xf+c85d3lLv+7X/XrR1kISEhKbhGRWa2ORcVgEGDCxncHYiZO/xlMVXJOayXiqpiZOKpOpcpaamTgQQ/ASV/CMWQxxYlxiiTEWGIZFAoQQSGDTotXr6379lnvvOWf+OPfe97rVLVpCMoTpX9VVv9Z7fd+555zfOee3fb/GRxofo1xUEDfcYVbyo+nOI0MURhjAdaX1mEoL0ySExChbgGbvYEETI4m1S1uqf49HTgbz0ElXmMQgqzcalMvjaK1wpMMsDi5bJiwl1eoUjXoD13FwpYdjXEKpUY5GC4VjNK4yuPHOUY9Cgsk6lVyNumngIJHaxfXyVKXDQGWKVw6/yXNv/pK9B99GZtu4btOF/ObpPXxsaTd6dIhJrWz6j4SU3yRmmVJS0KhUcJyQyoSIeUesw6KJkN4S8TcQTdWZrFTJ5i25j4krDrWxNBwYqzDGGKZEhFYRg6qOG9YQYdwXyWgkEwKDULZ8WemIyakxpC+hYQhFRGhsFvNUo8bo6AjDlSOMTg0zVp3gyNQ4Y9UJQgx9nX1sWncOK3qXs7LUT1+hRDt5Mg2HoNYgoG7HoV5jolLDy1RxA8ujkqD7JLZSMmuSsa5WA6SsoyJrjCe2yGwipQV5tL4QN7bpQEhbrNeoh2BcXNezpdZGU63VkF4cNjBNe+x45aQoy8kW6/5VeJ5HsdhJpAKEmSPOEgfTVGRdou3t7bi+j0bgSxOvRgZPgRsJazNEgjwhWkjanW4muzSaLIYsA6NT7HrhbX78i1/w5tAA69f289s37eDCpYvJj43Qmfdpy9uVz3E8oiCIqzOJjfW4XUJQ8ytoD4qdOdJDhdHNwJid1YBBCYexXM5mD5c6caVjgSjiQjYndnvaoK6g5jjUgwB3Ygo/10bGc3ERFtdYqZTPRkhBzasRuA2kMFCIGK5WeKt2hLfLR3hj8Jfsf/sQgxOjRBh6CiXO6FvJ8sUrubSvn5zv0OXnWdW9hLbIJasc3EBCAEpAUBDpii8diet7qCiiUCjgx9BW2iQ8k0evdmEYUq1Wyefz5PN5oIlIKeZwQNTrDYSAjo52lNJICUaHaA1t+Q5cL0O9HhJEEflMBmUMtUYFreyie6JW/odSWRJsXcdxcD3XppUYMccOZjtUOjK9HGmpeawtndgnMaiFdjGOJJQOQaGdMN+OW1W8OTnFz97czz+/9CJDg0Os7e7jj265mR3nrqIr5xHWJnnXqVP1HLycg4pPLcLLoOO6+OSsn2QKCDdDFpeMyFh+xpgBy3WSmv/4EtaV3NARNSXIaonnOGhh4l0rcQLEz4qmXQlyRlOTmnYPZFYQEFGL6tRVRD0MqKoalXqVoajM4PgQw0PDDLzzDpPlii2TUoacn2VtoZfLN5zH6lWrWV7qpy9fwkGSkz5jI0cI6yHFsA00hEYQ+BJ8i+DiEJE4IS2qpGOxCqTFK0hiVBaP2Dnq6GOMsdjIjr20tpF4CdN4WBJpZnsQUzIqHAdGh0f51re/S6m7h2XLV/LwP/4Tn7rpJs7/2PlkMhmMiaw7/H24wz5AZTHp9py4kJO696QsWABG2xJjOUfhtLV/W+BehUQYg2M0EfG5XVg3qo0BGiJPMmw0Tw+8ycEXnmXfgYDh0TFKvW3csOlMzrvhSk7r7WKRL3HqAW6tgRtp8lUXJ2vTXwSuTYUBtLKMWY50MRhUzEyG8BDGAeOmTjfHdSEOeCIFRitMjITSFmrqtYBsPcAHdOoF0yipUWiUjqiHDUZ1ldFKmbfKb9N4aQ/D5TEGK6NM6QYV1aBhQpRjn7+U6aK3UKKrrcia1V30thVZ2bOMnnwHHV6eopcnoxxEDDIv6vaZpDCoKY8gFGQCj1DaupnAEQTS4GhNRxTnJ7XsHMbE40rre3Ocq+I1oDVMcCxbwhhjY2+ieVwXBkqdXaw94wz+5E//G6tWr+W3f/f3uPDCC/EzGSYnJmwQNtmZW9pyPHbLB6Ys6epLTDsQx1XivMhmWn/871yZAUku2bT/wxrB0sTKEu8+Rgq0NChXMFELeHLvczy973WWrbuKm6+8iivWLGGZ0fhmHKNHaUQBDd8lcvPImotUWTINl3yjiRec+vG1ARUz7hprGw0LRS0jaWQMyghc6aNQYKwNg9Ap9V9oFCNugyMqoJafotEYZ6Q6RqVeoxJUGa2OM1IeZ6w8TnmqzFBlkInJMjpUZDyPnJ+ht6ubUkcnqxcvoa/UQ2+ph55iN92iRGemiIPD0JFBhBEs6V1i8YkVyAboODiqpCJyIruzG0HoSLSSCCPxlQWfyCrrNLHpQbIZ6DWmabtz9IQ8FkZbc17MAxmo9e14UZ0YH+fZp59hvFymvVjkwosvxs1mUgZkG2SNFfM9WzG7/NqVJSnhTYqnRsdGcRyXYrETFbWc509QBPYsHbkCnfLLG9yY8sIzBjeCpcLlpo9v5bNXXcPypaeRdw1ZGoSRwuDgigwZ4dnV1TU0CgGjfVV0voDJazQBkVJEOkSpyCZHmogoJqlV9YiDk4epGU2hWiAMA8IwoBbUCMOARqNOvWFfB40GdaUoE1GrV2kvdKCiEBXF/I/SI+tnyGazLOousXLRUnpzmyj4eaYmK6xYtpyutiKdbR1kHd/mcGnH+o7DmH+z4RBFIX7NHntEoNKMKhXbu7bnI4xQNg0IqHmGCEPd0zhGI41CGOvaNgKUk3mfM+L9iSMlI0ND/MN3voPWmq9+9T/zxM+e4hfPPcu27ZfGDpEWBZk1Tjg/+TUqSxNxUAgIggb33/8DHnroYaJIc+ONN3P99dfT1pZDKTuQ8wJtnvl23BmhE+9JcdzBMQYRV9O5ROhGneWui++BV/6/1ASUtUO1IakFEEbKGp/hBLVoknpUYXB8gCk8jOcRqoB62CAI6oRRQD2sEQQ1QhWiTEQURYSNyOIZOyKtOPV9j2JHB22FPIVCgVx7jlyujZKb42zThmMEyxf3U8wWyDk+BTdLm5clg43VSG1whItxsjSiiIMHD3Ja3yoEDkK4OHhECixvkQRXoGUDIRWREShXgGNQRDbbIo5qJ44JR2tcrYmkIJIGIzWRo6m7loLcMdaz6BgVZx7MMgatY2M49meO+oP5z+QkCyGTzXDjTTfT2d1Nrljkk9fujHHUEm9LfOf3GbY56crS6u9oPrqJE90ihFAIodn99KPcceedXHf9TYSR5n/eeTe9y1awbeslRArCCMJAEzUUGSkJjSaaJQvVBhFjDEOBdRNHknzDI5ICJSEQ9oyNFyGkRsuAUVnmyV8+yWu7D1JrBxyJI+zxynGkLcJyJI50LM+IgFBAwXPJZ3N4bgeecMm4HhnHxxMuvnTxXR/f8fBdj9pIlazIsHjJYnzfJ+N61vAVAteR6Wuwbs1atc5EeYJSrhvPdS2ivJKY0K7u0zI4pEMYKqTJYwKJ41qSXCOtE0G0jIBRkUXXVBprBlk3tG7GYtM5rYVHGNuRWimcSOBH4Ac63nkcDA4RCaxvgGjhHQ11iHAEQRTgZrz4/52j0mtkfOwzyqbnKA2B0ij7cEit5q6rl9LG3xCEUUSuvZO2YjeHDw/wv3/4PYSQbNq0kayQtLXlqSll/wY74RPCpuOVU7CzzLbPxbQNGgtm4UrGx8ZBCC6++BIMgn/8px8zNj6KI0AJQTafY9euR9m/7xVcYWw0epbnSxavKIoIw4hcLovQ4GuXUEqUtH8nwHplUCgR0PAUw9UxRMbBV45FXHRdm78VJ+i5sXfHERKlFI16g7KfsV4YY8/7QltPmycdC09qRJrOUgnqKFeQyWRRKsIRNntbmzgw1jIXhBBEkSIIQ3K5bDqxWjEQpnUxgBRUJibJt+VwHTemsj6q52O7zoJTBDGuWiaTOfq+2GdRMftwChlltKUvTHO1YhvQJHGRGFNBOmmdUCZj+ymKQoSwGNYJ0RAInJhSwiCo1mt4fgbhuTaeJASO0bO6joWAMIzQWpHNZFFaIaVFwhRS8thjj7Fnzx6W9y/nrLPPYuN55/Gx889nw/oN1tFwnLtXq5wiZYHWBiV1BcJGjzDakM3mUZFmYOAdIm1QYYN8JgMCHCm47dZbue6aa0CF9h5zHMeaRzs7qRxHYpQ17rWMEU3AVu1p+/9ICKVCeRbMLUbfrw8AAA4ZSURBVN9w4y06duUm7SX22MqmgapFUosvYmKm5CjTTE0h9u5EjkK7Ov0McU6UTPKjWkQkpD1xCnlaJjerQWrb6XkeCIlSOnaQ6LjdzUltKb5dlIphUokj4XPWdWg7AWMPo445IoVoDRTOGNu0vc3xmDYh05dJAiaWOkJIS2BkLJ5XqGxafqQMvhRIjlbmRPmPKjnHYWRkmGwmxyd2XMnatWtZtWoVPT099Pb2UuwsxkHMOR57HiLMfFwUxyGapLyzic2SZARLoTHasuYeGRrga3/85/z0yaeQUnLp9u384R/+R7p7e3HECdtg7y0h4IEO4J2hQfKlIh25bBrTne2YPbMtyRAmkG7JpVt+evHfnXip0bGlXpvk9f37aQQhp606nZ6evjm+60Qt2vdhCc8pitYeCes1fvWrd+xOgaDU20NPTw9w4v3WWp4+U7S2R9S5wOvfS06BstgGkYboWsQYMCo+EhhGxqd4dd9+pJScsWY13d3dqDBi9zPP8MOHHqJWr3PBhRdz7c5r6Wwv4BCTdMrm7WbdcIwBBVqalNbZ1QYRg++9+uLL3HH33Ty3Zw9f/oOvcN31V9vOYLqCzLZhTwMBbDmOKGPLkSWSqakpvv3db/Pavv040uWTn7yST1zxCbyYmNQkQbf4i+wzzD4MM4dHxG71Rx/5EXfffQ+VeoNIw7/9d7/PFTuusJRzmGaCqNEgXGadfi36EFcLoAlxpP3OMIp4evcz/PiRR7jg/Av55G9cRdbP2JJrCcZY8PP5itYhxsTAe9Llycef4I++9sd0lbpZsmwp1+zcydbLLsVxXVxjTxjzE4Mxyc5nUnfyyQKqSOTUH8OmjbU1EC29gKarq5utmz8OgIoidBjw2r59/MnX/ivnX3QJ6846l7/+m2/i5gp89ubrbOHKvDqg1bwFg4rp2uy5XWage0k35WcnqdQnyWkVV9DFW1paoTrLM8RVo62PmH5TFBsxUcil521k2wUX8Wd/+Rf87Z13cM5ZZ7HytBVordKEx1lU8T2fLDnSfnzzZvJt7ex69Am+9/37OPjWL1GpZyuOS9lqPNLI3+zd1PLaKpnSERjBkz/9KX/5V/+DV199DbTk6quuBSzfYxRq7AJ+PGttM7sBA5OVKsNDIxQK7axYsZI1Z6y1xzKlEe7xTM3W9Ep7xD3JegKcklPCMTrP+oPt1iAtv4iKEe2lBNf3mZwsUx4fY+N5G7jo4otoay8wNDJGlKa1J4cdM+P1zIt0Z0s8ctqEaBOwbv05XHnNlWQ7siipCYQhFIJQCCIkkRBEQqKERM+4QikIYibgUEpCKYmkJBSS0HVRjofMt/GxzdvItxcYHjpC//JldHUVMSi0iWz6Tvoselqb5yNCgCMELz3/PI/u2oV0XE5buRIpnTnuNFcfzezLuEhMSAYOv8Ndd93FmtWr2bJ5C2CrLoWcqedz3fvoq1mnYvfVtWvXcfvtX2HtujO56667ufPOv6U6VU1Zjo9XkrVONDVnrqlxQnLSlUWk9RCzvjnjkzFfipAkfpx8voDj+QwNHmF48F3qlTLtGYkvU/u4xbY7xvIh7SUEJFlMjpcD6QGGsBFAIyQX0z+bOFXGCBG/tucj+3vrFTNOWeAXkAYjLVOVEZpQB9TCBv/w/e/y7//DH3DOhg38/u1fob2jSKh00xGQwjrN/P29JQoj3nzzbc5dv5HP/da/IQzr/PxnT1KtVeNpmLrLaFpPcw9Is08TMijB7t3PMDI6RhhGvP766+zdu5c33jhgyyCM5cVJ/RamaZfOmdViEkZtSzGulMb1PdadfSZbtm0lm8swOVEGrU8wJ3jaI50SOenHsKPoYo41n5PJ3pIftmLV6WzZstWC7/3kERb3dLL5gk0Ibbmgmjc9RmFAy8rXajnZI4ClWsv5Oc5ZvZain8NVJgX/S2SuTIKZDgB7GQIVWUZeAQfeOMA3/9df89bhdyl29fDwQw9z0403snzZcjCtiTut8ZD5iRCCSCn+5V+e4v/c9wNqjQaXbd/GLZ++gUI2Q5I6KhJjaF4rafNDUjhoo9hxxZWcc84GJicmGB0dp1Qq0dvbgxD2qBdGCsexuAitSnLMKkejkdJBGQWO4IWXXuQb3/gGk5VJNmzYwO996XfoaMujoyhNmJx/x0z7cUrkpBv4JyKtVHzGGKampjh06BCNRoNFixZRKpXIZrPp54+HjrlVEvT7JOWmNZYhxHQvyVw5SjN38oQ8VWtjqTGkoDw2zsDAOzSUITIC3/NYuXIlbW1tqeGZFO7S8nO2kZ5reFQYETQaOJ6Hm7EuZB1DS9lNNUlkZHZPxYzvSL5Ha5sdbYlyrSIcPvwuruvS3d2N41iG4KTmRMrmPeDYY5PEZZrfpafBA3ue16T2nrF4fRjkA1WW1gmZNCPJRG5Fp0w6cCaw9/v5XstbOf2+81GWGdZ++krH6Ckg0FrheX4aANOYOHYRx4JSFBp7lDnW/jLX8BgV59HFsRAQLf0zwxf5Hl3VqiwJZK0xzcVFSjftL8uOkHxXEwDivZQlUZREbBA2ilOAfIIgwPf9BWWZr0wfNDHnhH2/nZjc92i37HvfV+sodd8m92hdaaNIxVA9Jg3C2mllD18JAo1I/cbx8bAl+p7sfilG9Ix+sQxsdjFJqToAHWNJQ3NDMfHz0tKXM1PhWyPxxqg0uGmMiTlCRfN9naDN2Gc6HjQf2386fb+VzqT1WY9nPH6d8qFSln8NYnSIELakQGl7/LIroUOoFEI4hGFII2iQ8Xzy2ax1FCRu7zgvSSXAftLC0hqt8RMFmKaIdkWfnJwkl8uRy+WIoggciSsdMCatEpVCUq/X8Hwf4Tr274VN2xFYzF9j4sg/TJucya6qVISJywhskVXsgInbYTRIR6BVnBJznMryr1kWlOU4RYd1pCsIGgFPPP4EL7z0EtVanUqlSk9vH32LF7N27Tp+9tRT7Lz6as4+68z0b1t3yiSWHSaKgUaEzSNImvUgJa+//joPPPAAO3bsYOPGjekRNTQKLwbKU2GEIx3GRke59/v34mZ8rvvUDfT09PLqyy9z3w9+wOWXX87WrVvTncSNXbSt+V3NtioS/seZbTeGGAjRIOcISn4UleVDWVb8YRbpOimz2fkXXMC6s87m/gce4LnnnueW3/wM/f39vHHwELVaFdd1ee4Xz/LAA/czMjaGUop169ZRqVV5Z2CAM844g8/fdhvDIyM8cP/9/OrQIXLZHNfu3Mml27c3FUspJspl8vk8+/fv58EHH2RwZJjJiQlOW34an/vMZ1hz+mpUFNFRLLJlyxb+9L//GS/u3cPW7dv51l13c8Xll3Puuefy/PPPc9999zE8PEyxWOTWW29l1apV3H///bzwwgvU6zUuueQirr/+Bvbs3cODDz5ErVrjzDPPJAxCDrzxJosXL+a2226jf/myD3g0fr1yqlKXProiPIzwQGYo9SzmtBWns3Tpcrq6SvQvW8bSJUsIalVee/llatUpjgwPseuxx1i/fj1r1qzhjjvuAKXZvnkLu/75xzz78938/d/dwxO7HmXLtm1M1Wvc9Xd3c2R4KMZw1pTHy+zdu5eJ8XFGjgzx8IM/pKvQzqeuu56nf/5zfvSjHxGqCCUMwpWce94Gbr/9dl7Zs5f/8p++yob16/nyl7+MMYavf/3r7Nu3jy1btnDgwAHuueceJicn6e3t5ZJLLqGzq4u/ufObvLj3ZQ68cZBdjz7KmWefRbHUxXe+910cT7L9sm3k2/PTXR0z7KqPoizsLMcpyZGl1UsXRVF66XjXiaIoPbps3LiRT3/607zyyis8/vjj3HLLLXR0dPDII49QLpd59/BhXNfFc122bdtGvVbDGGNxmIVFaEkoObTWbDhvA7d+/vP09/fzk5/8hKmpKfv5GPBBCMGmTZv40pe+xL333ssXvvAFstksw8PDDA4Ocvrpp1MsFtm5cye+7/PMM8/w0EMPsXnzZnr7+vAzPkGjQaQUl112GZ/93G+Ry2boaG9n9+7d3POtb/HFL36RbVu2zuoo+ajKws5ynNI6OZLJm8lk6O7uxvM8hBD4vk9fXx+ZTAYpJYsWLcJ1XYQQ9Pf3pzZJe3s73d3dXH311TiOw779+3nr0FsU2tvpLnWnK7TruhSLRXzPJ5PNsmTxEnLZXEr7kc/nU0ScFBxdCBYtWsSKFSsoFosYY+jq6mLHjh2Mjo7y2muvMTg4mLZteHiYgXcGeOvQIQptBbLZLO2FAsuW9YMxjI6OMnhkCMdxODJ4hGq1ekoDgB9GWTDwT1Ba4waVSoVarUZXVxe+71OpVKhWqxSLRYIgoFarUSqVCMOQ8fFxurq6cF2XkZERCoUCbW1tvDs4yNDIMAClUoklixenqCe1Wo3J8gRdXV02aFup0N5ZxHVdxsbGACgWi9MURWvN1NRU2q5EWbXWDAwMUC6XEUKwdOlSisUi7777LmNjY2RzOfxshlJXCaUVQRDQ2dlJrVbj8OHDNBoNenp66OvtA5iTifqjeBRbUJYTlKTbWiF8Wn+f7fOtn0k8Xa2vE9Fg3cpmRpCvJc9GmxhfSybUCnrOdsy0J+YVT2p+FUlBsWzZS1SCzD/H/rKgLAuSSquywEkIlDI9lzJBvj9KUdLPzz5ss4HYHVc75ptOFouc48MfRWVZMPA/AJnPRErSzVNlnJFlI45RdDWbIs+12827zXNaKP//rLULyvI+5WSuoMe6k2l9/z2SIk9FGz56+8Txy8IxbEEWZJ6y4DpekAWZpywoy4IsyDxlQVkWZEHmKQvKsiALMk9ZUJYFWZB5yoKyLMiCzFMWlGVBFmSe8v8AkQaHa/abWsAAAAAASUVORK5CYII=)
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)
Hint:
We observe that-
f(x) is a linear function (highest power is 1),
g(x) is a quadratic function (highest power is 2) and
h(x) is an exponential function (power is a variable).
We will simply substitute different values of x in the given functions and plot the same on a graph and compare the observations.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASoAAADyCAYAAAD6IIjZAAAgAElEQVR4nO2de2xb+XXnv3yJEvUk9bYelkTJD3o840k07sTmvDy23CSdOE2mq44WTb1A0SJWsRn4jy7QjSB4jbbALsYYFBhtd5NihO6uDQNJM3Q9yfhRezKWZzK24rclWxT9lGzLski9KImve/ePK16JFiVSvD/q/kidz1/S5f2de3hIHf1+33vu72hEURRBEATBMVq1HSAIgogFJSqCILiHEhVBENxDiYogCO6hREUQBPdQoiIIgnsoUREEwT2UqAiC4B5KVARBcA8lKoIguIcSFUEQ3KNf7AWHw4GjR48uOH748OEFrx04cAANDQ3J8ZAgiFWPJt6Hkh0OB7q7u/GjH/0I7e3tcnLq7OzExYsX8dFHHyXbV4IgVilxL/1OnjyJ3bt3o6enB42NjfIMavv27fB4PHA6nUlzkiCI1U1cicrhcAAA7HY7PB5PxGu05CMIItksqlHNp7u7G01NTUlzore3FzqdTpGN7OxseL1eVW3w4AML0iEO6RBHFjZ48MFkMqGyslKRDzETVVdXF9xuN/bs2RP19fCST8nMamhoCG+++WbC40VRhNfrRUVFhWo2ePBBEATcuXMH9fX1qvnAQxxY+KA0lukSBxY2+vr6Eh4bJubS78SJE3jllVfk3+vr69Hd3S0nqPPnz8NqtSp2hCAIYjGWnFF1dXXB5XLh4MGD8jG73Y7+/n60t7fLxw4fPpw8DwmCWPUsmajsdjvsdvuC43v37sXevXuZOuLz+RSNF0VRdRtq+yAIAgD1Y6l2HFiMZxHLdIgDKxtKiUtMXwk0Gk1a2FDTh/C41R4HFuNZxTLV48DShhK4SVQZGRkJjxVFEX6/X1UbPPgQngWs9jiw8EFpLNMlDixssICe9SMIgnsoUREEwT3cLP14EPxSXbgkMZ3deKWxFAQhLeLAyoZSuElUvAh+qSxckpjObnyisbx79y56enowPT2NzMxMvPDCC6ipqUnYj0R8YD2elQ0lcJOo1Bb80kG4JDGdnQ+JxPLOnTu4dOkSwhuSzMzMoLu7GzqdLqGiaB7iQGI6QaQZ165dk5PUfK5fv66CN+kFJSqCYIAgCJiamor62mLHifjhZunHg+CX6sIliensxicSy6ysLExPT0c9nqgvaseBlQ2lcJOoeBH8Ulm4JDGd3fhEYmmz2SI0qjCbNm1i4ota41nZUAI3iUptwS8dhEsS09n5kEgs169fD4PBgGvXrmFqagqiKMJisWDdunUJ+cBDHEhMJ4g0pK6uDt///vdRX18PjUaDtWvXqu1SWsDNjIqHdXSq6wGkUbEbrzSWz549AwDk5+er+j54+CxYEDNRtbW1weVyAQAaGxuxf//+pLTL4mUdncp6AGlU7MYriWUgEMDo6CgAoLCwUPVY8vBZKGXJRNXW1gaz2RyxMZ7T6cTRo0cj2mV9+OGHittlqb2OTgc9gDQqdj4oieXIyAgAwGw2IzMzM2EfeIgD9xqV0+mEy+XC/v37I45TuyyCWJrwss9isajsSfqw6IxqaGgIZrMZLS0t8rHm5mZql0UQMZg/oyLYEFOjCi/7urq60NHRkbS2WeH/QoliNBpVt6G2D6IoQhTFVR8HFuOVxPLp06cAgIKCgpSPAysbSon7rl9paWnU4yzaZQFQ3NePFxtq+hAuNFztcWAxPtFYTkxMIBgMwmQyISsrC8FgMGEfwqTDZ6GURROV3W5HR0cHurq6YLfbcf78eZjNZtTX16OjowNOpxMNDQ3M2mUpmSaHe4+paYMHHwRBgNvtXvVxYOFDorEML/uKi4uh0WhSPg4sbAwPDyc8NsySM6rm5mZ0dHSgo6MDwNwykNplEUR0wkukoqIilT1JL5ZMVHv27InaITkZ7bIIIh0IJ6rCwkKVPUkvqDKdoQ21faDKdHbjE4mlz+fD+Pg4dDodcnNz4ff7Uz4OrGwohZtExUv1bCpXAVNlOrvxicTS7XYDiKxGT/U4sLShBG4SldrVs+lQBUyV6ex8SCSW4cdmiouLYTAY0iIO3FemEwSxPMJ3/EhIZw8lKoJgBN3xSx7cLP14EPxSXbgkMZ3d+OXG0u12IxQKIS8vDwDg9/vTIg6sbCiFm0TFi+CXysIlCbjsxi83lmEh3WKxRIxJ9TiwtKEEbhKV2oJfOgiXJKaz82G5sQwL6SUlJcjIyEibOJCYThBpBOlTyYWbGRUP6+hU1wNIo2I3fjmxnJqagtfrRUZGRkRrrHSIAysbSuEmUfGyjk5lPYA0KnbjlxPLxfQppT6wssGDD0rhJlGpvY5OBz2ANCp2Piwnls/rU6x84CEOpFERRJpAhZ7JhxIVQSggFAqRkL4CcLP040HwS3XhksR0duPjjWV4U7iCggKEQiGEQiFmPrCwwYMPLFgyUbW2tkY0c2hubsaePXuorx+nPpCYzm58vLEM/30s1r8v1ePA0oYSYs6o9u3bB7vdLv9Off349YHEdHY+xBvLcKKaL6Sz8oGHOKSsmE59/QhiDtKnVoaYiaqjowMtLS1yfz/q60cQEuPj45iZmUFWVhZyc3PVdietWXLpN385d+jQIbS1tTHpOBMNHnqPpXoPNerrx258PLF89OgRACAvLy/qeekQB1Y2lBL3Xb+tW7fiyJEjCxIV9fXjxwfq68dufDyxHB8fByC1elvsvFSPA0sbSog7UV24cAFWq5X6+nHsA/X1Y+dDPLGcmJgAAFRVVS04L13iwH1fv3AL9zBWqxUHDx4EQH39CMLv98Pj8UCj0ZCQvgIs2Sl5flnCfKivH7Hamf/YjNo1RqsBqkxnaENtH6gynd34WLF88uQJAEmyWOycdIgDKxtK4SZR8VI9m8pVwFSZzm58rFgutbULKx9Y2eDBB6Vwk6jUrp5Nhypgqkxn50OsWIYTVVlZWdRz0iUOKVuZThCrHY/Hg0AggJycHJhMJrXdWRVwM6PiYR2d6noAaVTsxi8Vy7A+ZbFYlrxGOsSBlQ2lcJOoeFlHp7IeQBoVu/FLxTK87FtsxwRWPrCywYMPSuEmUam9jk4HPYA0KnY+LBXL8POupaWli14jXeJAGhVBpCDT09MYHx+HXq+HxWJR251VAyUqglgGtD+6OnCz9ONB8Et14ZLEdHbjF4vl0NAQAGnr4Vj20yEOrGwohZtExYvgl8rCJYnp7MYvFsvlCOlKfWBlgwcflMJNolJb8EsH4ZLEdHY+LBbL8NJvsUJPlj7wEAcS0wkixXj27BkEQUBBQQGMRqPa7qwqKFERRJyEd7ksLCxU2ZPVBzdLPx4Ev1QXLklMZzc+WiyfPn0KID4hnYUPLGzw4AML4kpUbW1tcLlccoss6uvHpw8kprMbHy2WyxXSlfrAygYPPiglZqLq7OyM2IaU+vrx6wOJ6ex8eD6Wk5OTmJqagtFojKuGKl3ikBJiutPpxMWLF7F//375GPX1I1YjVOipLksmqn/5l3/Be++9F3GM+voRqxFqNKouiy79HA4HzGbzovums0Zpp4rMzEzVbajtQ7gX3WqPA4vxz8cyvLWLXq+P2246xIGVDaUsmqhcLhe6u7vlDskA0N7ejs2bN0fUkLDq66fXK78ByYMNNX0I96Jb7XFgMX5+LEOhEMbGxgBIQvpyetylehxY2lB0/cVemK9LAUBLSwsOHDiAoaEh6uvHqQ/U14+dD/NjGX6+r7CwMO6lX7rEgfu+fotht9uprx+xqqBCT/WJO1HNT0bJ6OvHQ1FaqhfXUcEnu/HzY7ncQk9WPrCwwYMPLOCmMp2XorRULq6jgk924+fHMpFCTxY+sLLBgw9K4SZRqV2Ulg7FdVTwyc6HcCxnZmbg8/lgMpmWpdMEQwI0mtSPAy8Fn9wkKoLgkeXWT/22bxT/emkYI5MBWLL1ePebJXh9XUEyXVwVUKIiiCVYTqL6om8UPz/3WC5tcHuD+NkXjyACeIOSlSK4SVQ8CH6pLlySmM5ufDiW4VvreXl5Me394vdP5SQl+wHgl79/ilfXZiXkh9pxYGVDKdwkKl4Ev1QWLklMZzdeo9EgGAxibGwMWq02ppAeEkS4vcGor7m9QSbCvlrjWdlQAjeJSm3BLx2ESxLT2fkgCAImJycBSMu+eHb0LMwxYGQysOC4JduQkC88xIEXMZ12+CSIRfB6vQDiL/R8e4MZiDLzePebxUz9Wo1wM6MiCN6YP6NaihuDXpy55cGFu+MRx3OMWrzbWEp3/RjATaLiQfBLdeGSxHR2433+gJyoFhPSu/on8FvnOO48m5GPvVafhzca8lBtyUAoGEBGRoaq74OHz4IF3CQqXgS/VBYuSUxXPv7E17149tAJI/wQRRE6gxFZWXN37Mamg/i8bxy/7RvH6LQknheY9HijIQ9vrstHftbczgqhYOrGIRk2lMBNolJb8EsH4ZLEdGXjf/PlDUw87IERUomBRqOBEPTj9MXbWL+uHmduefDb26Py+fUlWXhrgzlqjVQqx4G1DRZwk6gIQm2e3LslJ6n5PL53C4d752ZKW2vzsGODGS9UZK+ke6saSlTEqiMkiNBpI5cygWAIRvijnp+lCcBo0GLHBjN2bDCjPD+O2UUoek0VkRjcJCoeBL9UFy5JTF96fJdrAo6rbri9QViy9fj+SxZst+bKr/vEDBg1C5OVDxn48E9qkKHTAFjar+DVT+H/4mcQx4eA3BJ43/xL6F/8LtP3sZLjWdlQypKJqrOzEydPngQg7cAZbolFff349IHE9MXHd/WPo/Or4Yjn8D7+8ilEAKW5BnzeN46H/lK8ZBwA5i3/RAAl1etg1McuOQxcPQ7fp38PiNI/DEw8he/f/g4QAcOWP2LyPtQYz8qGEpZMVC6XS94wr62tDQ6HAzabjfr6ceoDiemLj3dc80R9Du//fj2MQCh8vBBlmUaUzLiggQi/qEdh9Xp81/5iXNed+uLnc0lq3lUC536O7K0/YPI+VnI8KxssWPLfxMGDB+Wf3W43CgsLqa8fkXKEBDHqoy0AEAiJyDbq8L0tRfjwTxvwp9+qggYicnNzYf+Db+Cd116K8yJBCGNPor602HEifuJe+jU3N8Nut6OzszPiHFZ9/Xho6ZPqrYmoXdbi4/OztBibfn62A2QZtPhvuy3QagBxehS3bt0CABQXFy87lrrcEmDi6cIXcooTfi/p8FmwYMlENX9v9La2NrhcLlgsluQ4wklLn1RuTUTtshaOfzwexBcuL0anBWggieHz+cGLucgwSNcJhUJy/77KykpMT08vywfx1T8HTn/w3PJPA2zbq+i9pMNnofj68Z7Y2NiI7u7uBYmKVV8/tVv6pENrImqXNTf+yl03uu5N4+s70vN3GgB1RZl4NhnA+EwQhTkGvPNSEXZunLtGf38/RFFEWVkZ1qxZgzt37izLB3HrO5i49RmCD69LBwxZyN79Exi3/oeE30eqfxZAkttldXV1ob+/X55RuVwumM1m1NfXJ6WvH0GwoPveBE71uHHzkVc+9vZGM3baLKgyS1u1RKujAoD79+8DAGpqapZ93UD/V/Ae/wcI7gFoMrJg+s7fILDubRhzchJ8J8R8Fk1UdrsdR44ckTUqq9Uqi+vU14/gjc9vj+JUjxv3R6QHhLMMWjRtsmCnzQKzKfJrHi1JjY2NYWhoCDqdbtmJavrzn2H6zP8EABjqtsL0zt9Ca6lCwOuNMZKIlyWXfouVHFBfPz59WG0Fn76ggDO3x3H29hhGZnfXLM4xYMf6PNhrs2DKMgIIwecLxbyey+UCAFRVVSEQCMQVS3HsCXyf/Q+E+r8EABi270XGm3+FIAD4/ap/H1iMZ2VDKdxUpvNSlJbKxXWrpeBzxBvEmdtjOHNrDL6glFBqC43YsaFArjT3+XzL8uHhw4cAgOrqamg0mpixDPachu83/x3i9Dg0ucUwfue/QN9gj/s9LAeeP4uVgptEpXZRWjoU16V7wee9kRmc7nHj83k7GLxYmYNdNjNers6NOX4xHj9+DK/Xi7y8PFRWVgJYOpZTn32AmS//n/S67W1pqZcdKTbz8H3gwQdWcJOoCGIxbg56carXje57E/KxbdZ87LKZ0VBqUmz/3r17AIC1a9fOHYzyUHHoSR+8//YPCD68CgAw7X4fmdt/pPj6RGwoURHc8vWdcZzqcePWkykA0nbku2wW7NpoRnlB7GYL8RAMBiPu9vkuHcP02X+CMPYEBdlF8DX9NYwvfw++7l/C+2//AIgCdCVWZL/zt9CvfZmJD0RsuElUPAh+qS5cpouY/nnfOP791igejUmPveQadXhrfR52rM9Hbqa0L1Qs+/H6cPfuXQiCgJKSEmhvnYL3+NxDxVrvM3h/dQDT3b+CMDuL0m95B8Zv/w1CWj1CjHxIpg0efGABN4mKF8EvlYXLVBbTp/yCLJCHt/gty8vAjg352LE+H1EqCpj4MF9E9x/7SdSHioWHVwGtDsZv/w0ML+9h7kOybfDgg1K4SVRqC37pIFymopg+NO7H6R4PTvW6EZzdxaChJAuvWU3Ysak0qT6MjY1heHgYOp0O9bU1GB0fWvTc/B8fga60nrkPybTBgw+s4CZREasL1/A0Tvd4cM45dwfv5epc7LKZsbkiW+6pl0zma1NaQwa0+WVRdzrQ5pUuK0kR7KFERawoVwcmcbrHg8sP5u7gvdZQgF02M+qKpW4vz+8bxZxQENDpF9zt01e+CP+CRKVB1ts/Tq4/REy4SVQ8CH6pLlzyLKb/7u4kztweg2tYesRFr9Vgx/p87Fifh+JcA4BIv5PhQ3ib4NDEMDxFL2Gy8G3k5uYiP+DG2MftCN29KJ1oyAIC0xCyi5D12l7AtjshX9T+PvDiAwu4SVS8CH6pLFzyJqYLImSB/Mm4tBd5QZZeFshNGUtv78vyswhcPQ7XOQf6i/dgZk0edILkT/mkE9M/k55b1eSXwbjrJ9BveAtCwI+Bx0+QV13NzAe1bPDgg1K4SVRqC37pIFzyIqaPjE/jlHMMp3rcmJiRnrOrNBuxy2bB2xtjbxeSjM+i7+JZ3CxvggjpDy6knX1tqA8AYGz8AUx/uB+aDKmAVJjdfymVvw88+MAKbhIVkfo8GvXhVI8bp3s9CMtMG8pN2LXRgj+oy1PPsVAQfdmb5CQ1nwfmLXix6U+QYXtbBceIeOEmUfGwjk51PUAtjap/eAZnbo/h67uT8rFvVGdjx/p8bCzLSsgnlp+FIAiYMURPlDOGPIhW+4JrsYil2t8HXnxgQdx7ps/fj4raZfHpw0prVFceenHm9hhuPJqSj73eIG2xUl+Wu8RIdj4sOV4UELh6HMGrx5GRaYdfv7CzcZZeE/U6rGK52r+TrIi7XVZrayu1y+Lch5XSqL7oG8XpXg/uDE8DADINWuycfQbPkq2H1+tVNQ7BJ04IF34J743fYDCjEgMFm+HTmaIs/ICXGv8g6nWUxpKH7wMPPrBiyUQ1v12W1WqFx+OJ2i7r5MmT8tbERHoSCImS/tTjwdMJ6Y5ZUY5BSlA2s9ygM+k1UEvgv3ESvksOjN+/icH8zRio/I+Y0UtbAWcYDCgqKoLH48HMzAxMJhM2bdqEuro61fwl4idujaq7uxv79u1Df39/xHFKTumNZyooJ6gpv3QHr6YwEzttFry5vkBl7wBh9BF8l47Bd9mB4WAmBvI347H1L+XXLRYLrFYrrFYrtFopmQqCIP9MpAZxJapDhw6hqakJdrt9QaJiBQ+9x1K9hxrLvn7XXI/RdXcGX96blo+vK86AvTYTm8uNAAKLXmcl4qC5dwGa3pMQXV9hoOAFDJibMJ4592xgRUUFysrK5K5JIyMjy7o+i1iq/X3gxQcWxExUnZ2d8Hg82L9/f9TXWbXL4qX3WCr3UGPR18857EfX3RFcejgnkH+jMhOvWbNRXxS/TpGUOMyMAzc/g3jzM0xMTmGgYDMGGloR0kqV7ZmZmaisrERVVRVycnIQDC7c/C5eWPVIXO3fSVYsefW2tjaYzeYIrSpZ7bLU7j2WDj3UlPT1u3hvHKd7PAvaTO2yWVBpjn+TumTEIXj/MnyXHPBdPoYnueswWNCI4eJa+fyysjLU1dXJ3WNY+KC0RyIP3wcefABWoK9fuDNHS0sLACmZfPTRR9QuK404e8uD070euc1UtlGHN+pz8J2XSlFgUvG/aCgA38VfwnfZAe+TuxjMfwED1r/AlEHSxbRaraw9Jat7N8EPS/b1s9sXdtUAktMui1g5ZgKCLJCPeKVdNEvzMrDTZsbOjWb4pqeQo1KSCj25jZlLDvgvHcOQ3oKB/M0YrP9D+fWCggLU1dXBarXCYDCo4iOx8lBlOkMbavsQq5o63Gbq7O0x+IKSBlNbZMSO9fnYVicVaArBgCpxCN48ieDV4wjdvShpT+Xfx2jWGvn1iooK1NTUoKysTPJTEJbuuafwPVBlOlsbSuEmUfFSPZvKVcCLVVPfd/tw5tYYzvWPy8c2V5iwY30+XqpcWK2txIfljBc8gwhePY7A1eOY9AVnxfG/RkCXCQAwGo2ora1FTU0NchJoja7kPVBlOnsbSuAmUaldPZsOVcDPV1PfGPTiVI8bv78/t0nd9vp87LRZ0FCSlRQf4hkfuP0FfJeOwd97Bk9zrBjM346h3LkdNIuLi1FRUQGbzZY0H2JBlensbLCAm0RFsON3d8Zxel6bKa1Gg102M3baLCjPV+cLJ3jd8F86Bt/lY/C5H0uzp9r/hEljoXxOWHsqKipaka2IidSBm0TFwzo61fWAM7dGcaongKfeAQBAbqZO3kUzx6gDEJ9tlnEI3b+E4LVPEbz2a4xllkkJat0P5S1XcnJyUFNTg5qaGhiNUhmE3+9X/bMgjYqtDaVwk6h4WUenmh7g9YWkXTRvj2FsWnrEpTw/Q0pQG/KjPojL2ocFBH0I3jiOwJXjEB734lGeDQPVzXCbquRTysvLUVNTg4qKiuT4oHA8aVTsbSiBm0Sl9jo61fSAoXG/XGIQFKQ7eOtKs7C5MIA/3pZ4xxQl7yP4qBe+Sw4ELh/DNDKk0oKGfZjRSbtmGgwGufYpPz8/KT6wGA+QRsXSBgu4SVREfLieTuNUrxtdzjH52Ddm20xtWmPCnTt3Vtwn39VP4b90DIG7F/Esey0Gi3ficd4G+fVoDwYTxHKgRJUiXH04iVM9blx5OLeL5uvrCrDTZkZdkXQHLzwLWAlCIw/gn32sJegdk7Snur0YzyiSz6mpqYHVakVpaWKNRAkiDDeJigfBj0fh8qs7EzjbNy63mTLopDZTb63PQ3FOZJupldiKONT3BQJXjyPUdw4TxmIMFLyEgYqXENLoAAAmkwlVVVWwWq3IykpsG+JYPqzEeBLT2dpQCjeJihfBjwfhUhCBs7MC+ZNx6REXs0k/ewcvH1mLtJlK1lbE4uSIvKWv4H6IJ7nrMFD1QzzLnnswuKSkBLW1taiqqoLP55Pv4LHyYaXHk5jO3oYSuElUagt+PAiXY1MB/PrGOL5wTcptpqosUpupHRtiP73OeiviwJ0L8F0+Bv/VX8Onz54Vx/8IUzqpmj3ag8Hp8lmQmM7OBgu4SVSrmcFRH073eHC6x43wRr4by7Oxy2bG1tqVbTMl+qcRuvSvGL/5GYKPb8FjqsRA+bcxmL9JPqegoEBOUGrvU0SsDuhbpiJ9Q1M41ePBV665O3gvV5nw7c3FsK2J/gxesggO3pQea7nsgBgMSLtm1v05RjOK5XPC2tOaNWuWsEQQ7OEmUfEg+K2UcHnloRdn+sZx87k2UzvW56M0G8jI0CfkRyICcPDar6VdCx5chjfDggHLtzBg3oKARhLqjUYjampqUFtbi+zs7Ljsp9JnsRgkprO1oZSYierQoUPo7u6O6N1Hff0SG9/VP44zt8dwb0T60DMNWlkgt2RLH4XP50t6Xz/h2T151wJxalR6MLj6XQyZauRzioqK5EdblPiiBBLT2djgwQelLJmoWltb0dTUhO7ubvmY0+mkvn7LGO8Pijjd68apHjeGJ6Q7eEU5BuyabTOVodfGtBEvsQRgf88Z+C47ELh9DgFdJgbyX8Bg5SuY1M4tM+vq6rBmzRpUV1cn5APPn8VyIDGdnQ0WLJmowsln/uyJ+vrFh9sbwOkeD071ujHtl770NUWZ2GWz4I11K9dmShh/Ku1YcMkBwTOIsaxyDJQ1YaDgRVm4z83NlcXxjIwM2rmA4I5la1Qejyfid0pOkTxwz+B0jwdnbs3F6YWKbOyyWfDNtcrbnMdLwPU7SRy//hkA4FG+DYP1uzCin6scr6iogNVqRWVlpXxMzQaiBLEY3IjpPPQeU2Kj/1kAXz3wR7SZernCCHttFuoKDQBmMDxbXZ4sH0SfF8beTzHy63PQPLuDaUM+Boq2Y6CoET5I4rher0dFRQXWrFkj75r5/PXSoZec0vHU14+tDaUoTlSrva/flcEZnHN50Tfsl4+9ZjXh9bpslOUl5s+y38fjXog3PwNufga9EMSz7BoMrH0XT7LmhPD8/Hy55108wmg69JJTMp76+rG3oej6yx1Aff0kzt7y4FSPBw/c0iwpx6jD6/U5+O6WUuRnJd5ANH4fxNlW5scQvH8ZIY0egwWb8bB4Kya0c0vM5T4YnA695KivHz8+AEnu6wdId/3CmlR7e/uq7+s3HRBwuseNUz0euGfbTJXlZWCnzYKdGwswMz2FnASTVLyEnrpmxfFjEKfHMGEswUDFtzGQZ0NIlGZK2dnZsFqtqKurg8lkSqo/BLESaEQO1NPPP/8c3/rWtxTZUHoLNSSICAUDUW08mwxKDwn3jcE/22aqrigTO9bn4Vt1c7MXFrdxF7MR7D0jFWa6vgIAPMldj8GybRjWze05XlJSgtzcXGzZsiUpPqzUeB58EAQBg4ODqKqqin1yknxgYYMHH+7fv49169Yp8oEbMV2torRz/eNwXHXD7Q3CbNLhj7cUwl4vPV93b8SHM7fH0DWvzdSLFSbs2JCPFyuS02ZqvskXCeIAAA1DSURBVA1xfAiBK7OFmWOPpQeDi7ZhsPgVTImSOK7T6eTK8by8PAwMDHBR4JfqPlDBJ3sbSuAmUalRlPZF3yg6vxqWhVPPVAgff/kUjydCeDruX9BmapfNgvoktZmab0Nzv1vateDGSQCA21SJR3XNGMiY/e8uRn8wmPXuCWqM58UHKvhkZ4MF3CQqNfjlpeEFdUMigN9cHwEA6LQa7LSZsWujBWVJbjMlTk9g5rIDgd9/Av/wHYjQYLDgRQyW2+ER53Sm6upquXqcIFYLqzZRhQQRI5OBRV//4TeLsctmmW0zlTyCD67Cd9kB36VjgCjAm2HBYPV3MZCzAX5BA4hSHUt49pRIx2CCSHW4SVRqPOFtydbD7Q0uOG426fEdWx6AIHy+ha8r9kEIIXjtUwSuHocwcB0ApAeDK97AkMYye87cg8Fr166Vhy5lfyW2Il6J8Tz4QLsnsLWhFG4SlRqC356XLBEaVZg/3mJRvINBNISn/fKWvuLMJAK6TAyWvYaBwm9iMjT3UdTW1qKmpgaFhYWL2lrq2jyIp6nuA4np7G0ogZtEpYbg97atCAa9Hr/4/TDc3gAs2Xp8b0sxdmxcfnHbUj74r5+A7/IxBPql0oLRrHI8avgeHurWSA8Gh4C8vDzU1dWhrKxM3tZ3uZCYzs4HEtPZ2WABN4lKLV5fV4DX1xUgGBKkgk1GGpDgeSRpT5ePQRgbAgA8Mr+IR2tex7NQpnze/AeDw1XABEFEsuoTVRidls3UNtDXJZUW3DwNAJg25ONR7R48NDVgJgQgJP2Xrquri9kxmCAICW4SFQ+CX6I2xOkxacfMK8fhH7kHAHiWXYNH1bvwSJxNRCGpY3B418zwmv/56yl5HySmsxtPYjpbG0rhJlHxIvgtx0bowRV5S18ACGkNGKzYgUHLFowFtAjvTFddXY3a2loUFxcvYS0xH6KN4yGWqe4DiensbSiBm0SltuAXt41QYHbXAgeCAzcAAOOZJXhcsxsPtGUICSIQmHsweH7H4GS/DxLT2flAYjo7GyzgJlGpTmjpeqnQ49vSrgWXHRB90uZ4Q8WNGCzfjqd+6bk7CCLKyspgtVojap8IglDGqk9UvkvHMH32nyCMPYEmrxS+t38M48vfk1/3X/uNVFrg+lo6X5+Dx/Xv4mFWHbwBAfBLDwaHH2upqKhQ660QRNrCTaJSQ/ALXvsUvuN/D4gCBI0W2vEheH91AP7RYcDvRfDacYgTzwAA7jwrHlXvwkBwtnwhICA/P18Wx/V6Pfx+v6rCJYnp7MaTmM7WhlK4SVRqCH7+3/4MA7kb0V+8HTOGPGQGxtHw7EtUnJW674jQ4NHa3Rgo2AyPD8Ds6rCyshI1NTUoKytT7EM0SExX3wcS09nbUAI3iWrFBb9QELc1xbhZvhsipA9hxpCH62W7Ma3LBtZswgMUwx8MAb7YDwbzIFySmM7OBxLT2dlgATeJasXR6eEsfk1OUjIaDZzFdmiCGgAhlJSUwGq1ora2VhU3CYJYxYlKEATM6BffpTM8eyoqKop6DkEQK0dce6Y7HA65W3K4wQNLrly5gtHRUaY24+HJkyfyFH8+Op0u7q4tBEEsTWlpKTZu3KjIBhfNHdTC5XLhwoULC7Z5efXVV1FXV6eSVwRBPM+qXfoBgNVqhUajwbVr1zA1NQWTyYRNmzZRkiIIzljVM6r5CIIArVarthsEQUSBEhVBENxDUwiCILiHEhVBENxDiYogCO6hREUQBPdQoiIIgnsoUREEwT2UqAiC4B5KVARBcM+qfoQmnejs7MTJkyfl361WKw4ePKiiR6lHS0vLgri1tbXB5XIBoJjGS3gTg+bmZuzZswcAcOjQIXR3d8vnNDY2Yv/+/XHbpESVRiz3wyckurq60NHRgebm5og/ps7OTgDA4cOHAQCtra3o7OzE3r17VfEzFTh06BAAKak/T1NTU8Kxo6Ufseqx2+1yMpqPy+XC7t275d9feeUVeXZFRGf//v1J+WdJM6o0oru7Gy0tLQAQMe0mEsPtdkf8bjabVfIkPTh58qQsT+zbtw92uz3usaokqvl6Cq372bB37155Wh1eythsNjQ0NKjsGUEgYpblcDjQ0dGxrESlytJv7969OHz4MA4fPkxJKgnY7XaYzWYMDQ2p7Upa4fF4aFbFgPBM3+l0xj2GNKo0pKurCx6PZ1n/sYiFWK1WnDhxQv794sWLUUViYnk4HA6YzeZlzfZpP6o0obW1FR6PR/79wIEDtOyLk/BSeT7hO1Tz40p3VWPzfBkCIH0X29vbI45Fu3mxFJSoCILgHlr6EQTBPZSoCILgHkpUBEFwDyUqgiC4hxIVQRDcQ4mKIAjuoURFEAT3UKIiCIJ7KFERBME9lKgIguAeSlQEQXAPJSqCILiHEhVBENxDiYogCO6hREUQBPdQoiIIgnsoUREEwT2UqAiC4B5KVEnC4XCgpaVF7rMHIOLnaHR1daGtrS3ZrqUFFMvlEStera2tS3aFcTqdaG1tZe1W3KR0onro9uHfez34914PHrp9arsTQXd3N/bt2ydvYt/Z2YmmpqYlx4S7xnR1dSXdvzChISd8F38B38VfIDQUf/siNeE1lqOjo3A6nXA6nRgdHV2x6yrF4XDAarUu2QykoaEBVqsVDodjBT2bI2U7JX9yeRi/uvwMWQYtgoKIQEhE8ysl+M7mQrVdAyB12S0tLZV/f749+GJYrVZcuHBhRVpdTf/255g++7+gMeYAoQDEoA+mXf8Zmdv/LOnXVgKPsbxx4wauX7+OjIwMhEIhhEIhbNmyBRs3bkz6tZXicrniagNmtVrR3d2tSgfulExUD90+/OryM4QEEZO+kHz86MWn2FyRgyqLMSG7ra2taGpqkj+IQ4cOwWKxyB2Igcguz2HMZjM++uijCDsejwft7e1yiyWXyyX/wRw6dAiA1D023KopPPOqr6+P6CWXLEJDTkyf/d+AEII4PSYfnzr1jzDUvwpdaWKttljFEADa2trgcrnk38NdtXmL5ejoKG7cuAFRFOHzzc3sr1y5gvLychQUFCRkt62tDVarVY5dZ2cn3G73gq7DR48eXTA2Wjuq+XGf31Ld5XLhnXfekc9xuVw4ePAgnE4n2tvb5dZrNpttwee2UqRkouobmoJBp0FIiOz0pdEA/cNTCSeqV155JeIPo7u7GwcOHIg4Z37r9MX46KOP0Nraivfffx8NDQ3o6uqK6LC7f/9+tLS0oKurC0eOHMG+ffvk10pLSyN8SBbBB1eh0WdA9AcjX9DoEBy4kXCiYhXD8BIj/AfX0tKCgwcPchnL4eFhaLVaCIIQcVyr1WJkZCThRNXY2BjRI+/ixYt47733Is7Zs2fPsmY4hw8fhsPhwIkTJ2C32+F0OuHxeORlX7iXocPhQHd3N5qbm+XXGhoa4PF44HQ6V7xnJFeJquPsIL50jcU+cRGCIRH/fO4x/vnc47jHbLPmY99bFQCA7du3y40S41m3K6G5uRkdHR1obGxkujSZ/MV/hf/abxI3EPLD6zgIr+Ng3EMyXvw2ct79OwDJiWGs1t/JiuWXX36Je/fuJTw+FArh66+/xtdffx33mJqaGmzbtg2AlISOHj0Kp9OJoaEhAFD0/sL/HGLNjN577z10dHTAarWqssyLBleJSm3mC4YulwuNjY0Lzol32RIv87sbpwOsYmiz2XD06FH5blVzc3PMa6dbLAFpVnX+/HkA0mz1eZaz9FsubrdbsQ1WcJWo9r1VIc9uYvHr6yM4evEpQoIIvVYDQQR+8I0ifP/lYkU+hKfbLpcravvueJYtz1NaWrrgj+jo0aM4cOAAPvzwQzgcDvk/19DQUMTSZrnkvPt3wOzsJhYz5/8Ppk79IyCEAJ0BEAVkvfVXyHrjLxK+PsAmhufPn5fbqs9nJWO5bds2eXYTi97eXly5cgWiKEKr1UIURWzevBkvvPBCwtcHgK1bt+LIkSMAgPfff3/B68td+j1PeLY7fzkXXkKfOHECnZ2d8mcQntmu9LIP4CxRLYfvbC7E5ooc9A1NAQDWlZoS1qbmE55uR5sJJEpDQwPMZjO6urpgt9vR1taGpqYmNDQ0yNNsm82GhoYG9Pf3x3UHhgWZ2/8MhvpXEXxwFQCgr34pYW1qPixiWF9fj46OjoiZV1gA5jGWGzduRHl5OYaHhwEAxcXFCWtT87Hb7Thy5AgsFkvSEoTVakVPTw8aGhpw6NAhWK1W2O12lJaWor29HfX19bDb7ejp6VmxeC5AJBawb98+8dy5c0xtfvzxx+LHH38c87yf/vSnzK+tBkpj+NOf/lT85JNP5N8//vhj8YMPPpB/Xk2xfD4WrPnkk0/k2C7FBx98kFQ/liKlCz6TQfhuE+vam71798a8tRsuTlyJup9kwiKGu3fvljWqlpYWnDx5Ul5GrqZYdnV1weVyJVXU3rNnD1wuV8zK9GT7sRQaURTF2KcRBEGoB82oCILgHkpUBEFwDyUqgiC4hxIVQRDcQ4mKIAjuoURFEAT3UKIiCIJ7KFERBME9/x9FKZAMVNaFTwAAAABJRU5ErkJggg==)
The correct answer is: Population of city C will exceed city A in 10 years and city B is approximately 9.5 years.
Step-by-step solution:-
h(x) = 2(x-5)
Let x = 0- h(x) = 2(0-5) = 2(-5) = 0.03
Let x = 5- h(x) = 2(5-5) = 2(0) = 1
Let x = 12- h(x) = 2(12-5) = 2(7) = 128
∴ We plot the points (0,0.03); (5,1) & (12,128) for h(x)
f(x) = 3.2x
Let x = 0- f(x) = 3.2(0) = 0
Let x = 5- f(x) = 3.2(5) = 16
Let x = 12- f(x) = 3.2(12) = 38.4
∴ We plot the points (0,0); (5,16) & (12,38.4) for f(x)
g(x) = 0.25x2
Let x = 0- g(x) = 0.25(0)2 = 0.25 (0) = 0
Let x = 5- g(x) = 0.25(5)2 = 0.25 (25) = 6.25
Let x = 12- g(x) = 0.25(12)2 = 0.25 (144) = 36
∴ We plot the points (0,0); (5,6.25) & (12,36) for g(x)
From the adjacent graph, we observe that-
Line representing f(x) is a straight line. Hence, f(x) is a linear function.
Line representing g(x) & h(x) are not a straight line. Hence, these are polynomial functions.
However, as increase the x variable, h(x) being an exponential function, increases faster than g(x).
Hence, we see that h(x) will eventually exceed f(x) and g(x).
Also, we observe that h(x) intersects f(x) at the point (10,32) and g(x) at (9.5,22).
Hence, Population of City C will exceed city A in 10 years and city B is approximately 9.5 years.
Final Answer:-
∴ Population of city C will exceed city A in 10 years and city B is approximately 9.5 years.
Let x = 0- h(x) = 2(0-5) = 2(-5) = 0.03
Let x = 5- h(x) = 2(5-5) = 2(0) = 1
Let x = 12- h(x) = 2(12-5) = 2(7) = 128
f(x) = 3.2x
Let x = 0- f(x) = 3.2(0) = 0
Let x = 5- f(x) = 3.2(5) = 16
Let x = 12- f(x) = 3.2(12) = 38.4
∴ We plot the points (0,0); (5,16) & (12,38.4) for f(x)
g(x) = 0.25x2
Let x = 0- g(x) = 0.25(0)2 = 0.25 (0) = 0
Let x = 5- g(x) = 0.25(5)2 = 0.25 (25) = 6.25
Let x = 12- g(x) = 0.25(12)2 = 0.25 (144) = 36
∴ We plot the points (0,0); (5,6.25) & (12,36) for g(x)
From the adjacent graph, we observe that-
Line representing f(x) is a straight line. Hence, f(x) is a linear function.
Line representing g(x) & h(x) are not a straight line. Hence, these are polynomial functions.
However, as increase the x variable, h(x) being an exponential function, increases faster than g(x).
Hence, we see that h(x) will eventually exceed f(x) and g(x).
Also, we observe that h(x) intersects f(x) at the point (10,32) and g(x) at (9.5,22).
Hence, Population of City C will exceed city A in 10 years and city B is approximately 9.5 years.
Final Answer:-
∴ Population of city C will exceed city A in 10 years and city B is approximately 9.5 years.