IM 8.5.20 Practice: The Volume of a Sphere

[size=150]A cube’s volume is 512 cubic units. What is the length of its edge?[/size]
[size=150]If a sphere fits snugly inside this cube, what is its volume?[/size]
[size=150]What fraction of the cube is taken up by the sphere? What percentage is this? Explain your reasoning.[/size]
Sphere A has radius 2 cm. Sphere B has radius 4 cm.
Calculate the volume of each sphere.[br]
The radius of Sphere B is double that of Sphere A. How many times greater is the volume of B?[br]
[size=150]Three cones have a volume of [math]192\pi[/math] cm³.[br] [/size][br]Cone A has a radius of 2 cm. [br]Cone B has a radius of 3 cm. [br]Cone C has a radius of 4 cm. [br][br]Find the height of each cone.
The graph represents the average price of regular gasoline in the United States in dollars as a function of the number of months after January 2014:
[img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAe8AAAEiCAYAAADQ/1qnAAAgAElEQVR4Aeydh5PdxpH//Qdc3VXd2eXy3fnOZ+scTzlnK+dkW1miRGXJorJEZSpROVEUKZFiDsu0OeddbuDmzLDMaZklUSRtUbbvfv2rz9Ag8d4D5oUFNpCNKjwAA2Aw+GLefKd7erq/J7ooAoqAIqAIKAKKwLBC4HvDqrRaWEVAEVAEFAFFQBEQJW+tBIqAIqAIKAKKwDBDQMl7mH0wLa4ioAgoAoqAIjCsyPv//u//5JtvvpGVK1earX4+RUARUAQUAUXgSERgWJH3n/70J/nggw/kzjvvlO7u7iPxe+k7KwKKgCKgCCgCw2fMG+KuqqqS++67T84++2xZsmSJfj5FQBFQBBQBReCIRGBYSN5//etfZfXq1TJq1CjJysqSSy65RMn7iKyu+tKKgCKgCCgCIDDkyfv//b//J9u3b5eJEyfK22+/LX19fXLttdceJG/Gwffv3y/79u2Tb7/91uxzHORKvmHlTTnDzD/MvA+UPdzyDxQ+334bbJ1x6p+Df1j5h4/Pfvmzqf/DDx8wDxv/Q88IFx+nPgW9DROfQ9jQfg5vfILG/cD/9gAmcFgqy5An77/97W+Sk5Mj9957r+zZs0d27NgRQd67d++W3NxcmTz5C8nLK5DCwuLA1+zsXMnNzQ88X6esWVk5oZU9P79QMjKyQit7QUGRZOfkhYoP5ec9HLyC3IaND3WS+gNOQZbbnVd6Rla49SczO7Sy87+i/oeFT05OnrCGlT/5ZmZmh5Y/Zaf+uL93kPtO2xYGPuTJ9w2z/jvfN0hM3HmF2TY7mH/99W5JhcCHPHk3NTUZ4n7vvfeksLBQFixYIKeeeqqRxDdu3Chr166VBx98UN555x358ssvA5W4nd5Wa1u7rOjtDSVvnlFbWy+bN/eFkj9ai9y8/NB6vnSoOjo6Zc2ataGUH3z4g27ZujWU/Hfs2Cn5+QXy5z//OZT8N27cJM3NLfL111+Hkj/4ZOfkSl/fllDy37Vrl5SXVwo2J87/Icgt9aa2ti4U/P/8529lxYpe6Vm6VOjkB1luJ68vv/pKysorZO/evaHkv2zZcmlqag4lb6Tu9vYOWbt2ndFcOu8U1HbPnr1muLO1tV327t0Xyjt0dnZLV1d3KHmDA3UzrLaZNqG5uVW2bNkq//u//5u08D3kybujo0PGjh0rY8aMMWrzl156SY4//nh55JFHpL29XVatWiV33XWXvPnmm6YCJo1AAjd0dXfL6tVrErgytUuWLGkQSCSMhV5dfkFhGFmbPP/yl7/I0qXLZMOGjaE9Iy+/QHZ9+WUo+TP1sKCwKKWebyIF2rp1m7R3dBpySuT6VK4Bnx07w6k/kFJlZVVKjUsi77Jh40ZpaGwMBX+G3PjfMrUUogpj2bfvT1JRWSXY5YSxrFq1Wtra2sPIWsAH4tu8ebOg4Qx6oW2gXejo6AoNHzo3rGEt9fW0zTtCyR6Boa29w3S8D0vypvFgnHvdunWyZs0aaWlpkQsuuECys7PNXG8lb3u9UvK246PkbcdHyduOj5K3Pz5K3v7YcOawJ2/369NTpLF9/fXXpbe315xS8nYjFLuv5B2LiTtFyduNRuy+kncsJu4UJW83GpH7St6ReEQfHVHkzcszsI9luaOmUvKOrhKRx0rekXhEHyl5RyMSeazkHYlH9JGSdzQih46VvA9h4bV3xJF3NAhK3tGIRB4reUfiEX2k5B2NSOSxknckHtFHSt7RiBw6VvI+hIXXnpK3Gqx51YuDaUreB6Hw3FHy9oTlYKKS90EoPHeUvD1hMYlK3v7YcEbJW8nbWkOUvK3wGBsKtTb3x0jJ2x8bzih5++Oj5O2PDWeUvJW8rTVEydsKj5K3HR4zf1mnivmDpOTtj42Stz82nFHyVvK21hAlbys8St52eJS84+Cj5O0PkJK3PzacUfJW8rbWECVvKzxK3nZ4lLzj4KPk7Q+Qkrc/NpxR8lbyttYQJW8rPEredniUvOPgo+TtD5CStz82nFHyVvK21hAlbys8St52eJS84+Cj5O0PkJK3PzacUfJW8rbWECVvKzxK3nZ4lLzj4KPk7Q+Qkrc/NpxR8lbyttYQJW8rPEredniUvOPgo+TtD5CStz82nFHyVvK21hAlbys8St52eJS84+Cj5O0PkJK3PzacUfJW8rbWECVvKzxK3nZ4lLzj4KPk7Q+Qkrc/NpxR8lbyttYQJW8rPEredniUvOPgo+TtD5CStz82nBkQ8iaSFx+CkJwsHO/fv99E96IAqQQSt79W4mcJTDJy5Eh54403ZPfu3SaoPIHlg1zb2zukd+XKQPN0l6+2tl62bN0aSv47d+2SnNx8+WvAmDjl5/t3dXXL2rXrQik/z8nJyZPt27eHkv+XX34peXkFpn477xTkdvPmPmlpbZU9e/aEUn7Kmp2TK1u3bgsl/6+//lrKyipk//7vQsl/7bp1UldXHwr+tFm9vStl2bLlphMS5Hd18tr9zTdSWlYu3377bSj4rFjRK83NLaHkTWRG2rb1GzaY9tx5p6C2tA1r166V1tb20PDp7u4R1qDKHJ1PTU2dbNkSTttMm9DS0ip9fVtS4tDvJUKTW7ZskRkzZsiOHTvMQ7766it577335JxzzpE77rhDVqxYYQg9kbyCvgbyvv322+Xee++ToqJiqa5eHPg6N22epGdkBp6vU9bpM2ZJXn5BKPkXFhXLpxM+CyVvyl9eUSlp8xZIVnZOaM8Y/+lEwf+4g1eQ26LiEpkw8XOpqqoOJf/cvHyZPWeuaeCDLLc7r0/GT5D8gsJQyl9cUiqTv5gqlSHhQ72ZPn2mVFUF/7+tql4s6emZsmDhItMBcWMW1H5JaZnBp6KyKhT8Fy3KkFmz54aSN/ikzZsv2dm5Ekb5KyoqJTMzW+bOnRdK/nzDefMXyvwFC0PBh/ypm2G1zXT6qJuhkndLS4tcfPHFRsxH+p47d67ceuut8sknn8jLL78sDz74oOm5BU3MieQHed95550yZswrsm3bNtm7d1/ga2Njk3T39ASer1PWyspqWbd+fSj5b+7rk4yMLCN5OM8LcktHrrmlVZAQgszXndei9EzZuHFjKPnTMc3MyjaSsfuZQe2vWbtW6uuXyI6dO0MpP+VclJ5hpKegyuzOB4meTvHu3d+EUv4Vvb1C/UcKcT83iH3yRCrr6OiQnTt3BZ4/ZUQjRAcZDUUQZY7Oo7Or22gmotODOd4rTU3NsnLlSqO1DCbPQ+0vbcPy5SukoaEpNHxaW9uENeiyO/lVVFTJunXhtM07duyUJUsawiXv2tpaOeuss4x0TZShESNGGMl78+bN0tTUJGeffbYh9kTINuhrNJ63HVEd87bjoyFB7fhoVDE7Pjrm7Y+Pjnn7Y8OZARnzXrJkiVGR79q1S0pKSuSGG26QsrIyMwaOyvzkk0+WP/3pT/aShnRWydsOrJK3HR8lbzs+St52fJS8/fFR8vbHhjMDQt4Q9E033STjx4836vK3335bkLoxeGhra5MLLrhAJW/7d7KeRXWCCiWMRcnbjqqStx0fJW87Pkre/vgoeftjw5kBIW8auOLiYrn22mvlkUceMWMkWJwjbZeXl8u4ceOMtai9qOGcVcnbjquStx0fJW87PkrednyUvP3xUfL2x4YzA0LeTKeprq62l2SQzip524FX8rbjo+Rtx0fJ246Pkrc/Pkre/thwZkDImzHvc889116SQTqr5G0HXsnbjo+Stx0fJW87Pkre/vgoeftjw5kBIe/29na55JJLZNmyZWac216kgT2r5G3HW8nbjo+Stx0fJW87Pkre/vgoeftjw5kBIW/m2L7++utmPvX8+fMFSZy536wYrGHQNlhe1pS87RVEyduOj5K3HR8lbzs+St7++Ch5+2PDmQEhbyzLR48eLSeddJJceeWVctttt8ldd91l1nvvvVfefPPNQZPID2fy/u6774zvbRxBbNiwwXSS6DBVVVVJXl6eLFiwwHSkcAvrtyh5+yFzIF3J246PkrcdHyVvf3yUvP2x4cyAkDfzu5nXnZubG7MWFBRIXV2d8S1rL2o4Z4cjeeOlDh+6+IencSwuLpGenqWyadMm4wu4t7dXuru7jSX/nDlz5P3335ennnrKOMe57rrr5KKLLpLTTjtNfvWrX8mll15qiJx8vBYlby9UDqUpeR/CwmtPydsLlUNpSt6HsIjeU/KORiTyeEDIm0c6hMPcbj6Ks3IMEQ3WMhTJG6wYRnCwgqT5UEytozHEbeCaNWtk8eLFkpaWJqNGPSJoMJhLf95558mvf/1r+f73vy8/+MEP5LjjjjPajgceeMAEX5k2bZoUFhYal49I4ffcc4/xcJeVlWW+Cc92L0rebjRi95W8YzFxpyh5u9GI3VfyjsXESVHydpDw3g4IeUMIEA/TxSCJ9PT0gyvHpA8WgQ818gYryBnjPubAz549W95991354x//KNdcc42ceOKJ8q//+q+GnH/xi18Y4j3nnHPNEAR2BZBzaWmpLF++3ORD47lv3z5D/nQCUKXTKaBzAOao05999lk5+uijZeHChTHz7ZW8vf84TqqSt4OE91bJ2xsXJ1XJ20EidqvkHYuJO2VAyBt17mOPPWZcpF5xxRWGcFDdMn0M9e1HH310xI95Q6SEv8MmAGn5lFNOkfPPP1+uvvpqueWWW2TUqFHy1ltvyfTp0w05d3V1CepxJPCsrGzp6ekRhicgEz4qBB0tRbs/vLPPdevWrTMBYo499liTv3sMXMnbQcp7q+TtjYuTquTtIOG9VfL2xoVUJW9/bDgzIOSNepbgI4xvYyh14403yqxZs8z+E088YYKUIBGmshCNZ+vWrSaqjc1iHSKDqIgcxvXEz2UZCpI33uZ27txpVN+Q9YQJEyQ7O9tI3o2NjbJ06VJDsJQdYkWCdhNzf92jggsS+KuvvipnnnmmTJ061UQ7Ah8lb3utVPK246PkbcdHydsfHyVvf2w4MyDkjUEasbshKQjo4YcfNkZqkBBRxTCicsjUXtwDZyEu7kXlDtFhkPXxxx8bF6xe+dAxWL9+vcycOVMmTpwon3/+uQkRSW5DgbyRmCnT8ccfLzk5OUZ6TgQH55r+kjf5IPnTqXnxxReNQRvlIdylkreDsvdWydsbFydVydtBwnur5O2NC6lK3v7YcGZAyBuCJvgIY6/8mTGSysjIMPs4cDn11FOTiioGedNoPvnkk2aMF2ke0rn55pvNdKjoV0aqfOWVVwQpv6ioyBh67dixw1w22OQNJljiEzKVMWs0CckuQZA3zwRXxttfeOEF41SHjhFj5/kFhckWKeHr+YMuXbpMNmzYmPA9yV6Yl18gu778MtnbErpeydsOk5K3HR8lb398lLz9seHMgJA3wdqZ1804LSra559/3hAv4UHfeecdI+lRkGQXJHkWSKe1tVWwqCZP94IqHQmdMKQQNpI5Uib3sAwmeVMOhhQoGytE4LyT+x3i7QdF3s5z6ECMHTvWaEtGj35W5s1f4JwKfKvkbYd069Zt0t7Raf6o9itTP0vnZsfOcKLSKXnbv4uStz8+St7+2HBmQMgbwmZM1yEmxnCRkv/5n/9ZTjjhBMnPz++XtTn5M2UKwy4kRfcCIX7xxRcyZswYY8HNszDQ4h6WwSRv1NIY8p1++ukm0prToXCXP5H9oMmbZ9LoYkj4Xz/9qVx9zbUHv10i5UnmGiVvO1pK3nZ8NmzcKA2NjaHUT/6Pq1evMf9Nr+E4e8kSO6vk7Y+Tkrc/NpwZEPLmT+AQNw/loxBprK+vzxhG8cdIlri4nnHvRx991FhlX3jhhUaFHm34xjOQ9DGSY0oU064wCkMaR2UNeY8YMUJGPfKILGlolM6ursDXrOxcKSkti8i3ta3NlIchg7fefkdaWlulszO1Zy9YuEgW19RG5N/f92jv6JCKikp57vkX5D/+4z/k8ccfl7r6JSmX0a88ra3tkpubLxUVVYGW3/28yV9Mldq6+lDyp85MnTpdOjo6Q8m/enGNZGRmS3NzSyj5g9OkyVOkprYulPwbGptkztw0aW/vCCV/6s38+QuloyO1/467nkTvd3R2SnFxqRQUFEpzS2so5W9sapbZc9Kkra09lPyLikokIyMrlLw7OrskJyfP/HfbQvi+rW3tUlZWLtnZudLWHg4+eXkFkp9fGAo+1KcFC4Jvm5162tTcIrl5+dLXtyUl9+Lf8+sbIFUyfQnf5ba1o6PD9GxtluJ+z6BDgKSNr3SmUDGdKjr0KH7VGe9mHBejNYyysHSH0CFu1jvvvFNGP/us9K5cKZv7+gJfK6sWm46BO+/PJ00ynY6XXnpJli5b1q9n5hcUSVd3T7/ycJfN2d+4aZPQ+D7y6GPGmO6222+X+iVLZNPmzYE9a9369bJ4cY1pHJ3nBr1Nm7dAepb2D2O/Mq3o7ZX5CxYGion7WRBIeUWlrF6zJjDM3fmzDz7dPcHXH/LuXblKMrOyZcPGTaGUH1KFoHDBHP1e/T2mntM5o9O6Zu3awPOnfKtWrZbMzGxZv2FDKPnXL2kwBNhfLPzur6isFogbDYjfNammr1u/wQg15RVVsn5D8PlTLoQe1lTLGO8+7IXCaJt5Lm1CZWV18OSNoxAMyu677z7r+tBDD5lxb0eN7UfU8dJRhWN1zupeUNdjiT5p0qSDyfj2pmyMwUPeI0eONN7HULH/DeclAa9IZStXrjL5/uWvfxWk7ssvv9wY0GEP0N/n1dXVy9Zt2/qdj1c5du7aJXPnzpMZM2bIWWefbbQFy5YvF97D6/pk0/787bfGleu6desDyc/r+Tm5ebJ9x45Q8sfAjzFj6q/Xs/ubhuaotbXNDGP0Ny+/+5Getm3bHkr5v969W8rLK+S77/4SSv7Um/r6JaHgzzflf7t8+QqjpfPDrz/p3+zZI2XlFfLt/v2h4EPnkg5Of8roe+/f/mY0ThA3Gk/f61JsT9HI0q63tXUYLWvQ+ZMfbqW7e5YGXnanrLW19cLQl3Mc5HbP3r3S0toWPHnjIcwJfkEADL8Vb2sVFRVJjXkjcTMmSzQyetw0cExHQy2OhzFU6kjgfHgIedGiRfLggw8aCZ9rmS728ssvm/OQN8Z0BEdBjR7G0tXdbcbO0C4QJIQOC9Pj6uvrU1J3RJcxjDFv5xlMFYOcGOpAu0FoV3AGe/dQiHN9slsd87YjpmPednx0zNuOD5I9KvkwFtrZrq5u0wZjfBv0omPedkRDG/PmY9IbY1w63spHSmYhbyRWxruRtD/55BMj3TN/HC9lkCSeypirDHnTkYAwn3nmGfnggw8McRYXF5sB/4Eib/5EWHF/9tlncswxx5jpYUF1FsImb2eqGLjPmzfPTPsDa4YhUhnucH9rJW83GrH7St6xmLhTlLzdaMTuK3nHYuJOWbZsubCGtdTXN5hZTmHkHxp5IxEzv7u2tta6In2ivk6GBOjx0TFoaGgQ4oMTOYvnOHOkOV9ZWWmibEE4HKPexNJ87ty5Rmp0DNsGirxRz9TU1MhRRx1l1PgY7AW1DBR5U16+U2ZmpgmAwowBbAiS+XbR76zkHY1I5LGSdyQe0UdK3tGIRB4reUfiEX2k5B2NiIjxZnbZZZcZH9346fZbcU5CRCyk82QWCBlipvFndUjayYNjt1qX6xnD4lrIhmOWgSDvzq5uWbBwoRnnhvDwqOYum1PmVLcDSd6UkY4PNg043rn22muNa1XwTmVR8rajpuRtx0fJ246PkrcdHyVvD3yQLFGrrl692roSWAMpPUgy8yiOb9JAkHdubp5cf/0NJhALwURSJTq/lxho8qYcqPzRfDAGDoEzBp6K0aGSt99XPZCu5G3HR8nbjo+Stx0fJW87PuasI/lC6N3d3WYcGj/nQRNZAkWJuCRs8qYT8/LLY0zAD9TN/VExRxTcdTAY5M3jCfOK5T7Gd7fddpsh82Q1KErerg/psavk7QGKK0nJ2wWGx66StwcoriQlbxcYXrtIZEjX48ePN84+7r//fuPKlLnWWJvv2bPnoBrb6/4w08Ikb96b92NaGB7e3KE2g3ynwSJv3oF3hMB/97vfyd13323G9ZPxRqXkba8JSt52fJS87fgoedvxUfK242OmRxGL+rzzzjMW31hc43qTsW6swnNzcwdNAg+TvDHEQ6V8/fXXS3NLSxyUUj89mOTtlBrDQ7zY3XrrrcZpTqISuJK3g6D3VsnbGxcnVcnbQcJ7q+TtjYuTquTtIOGzJfjGueeea4KH0Fg7Cxbg+CS/4oorQg284DzPaxsGeTN+jzbh9ttvNyplvKnhIzmsZSiQN+/GGPhNN91kvide9fjWjmGg37srefshcyBdyduOj5K3HR8lbzs+St52fIwq9YwzzvC8CkOnY489NqmQoJ4ZpZgYBnkz/w6vbrxXYWGh8ct7JJA3n6Czs9N0Wn7zm9/EdNa8PpGStxcqh9KUvA9h4bWn5O2FyqE0Je9DWHjtKXl7oeJKQ6V65plnGmnUbVVOw93Y2GiiamH8NBhL0OQNcTPHnGAeeHLDYA0vREcKefNN8TdPeNaf/vSnBgMndrrX91Xy9kLlUJqS9yEsvPaUvL1QOZSm5H0IC689JW8vVFxpTAcjcheGarhCZSwYtSoqc8ZJ8XpGIz4YS5DkjeU8wViY34471k2bNpmxfMc9aljvN1TU5s77Md7NN0f7wHAJRN7e3u75jZW8HdS8t0re3rg4qUreDhLeWyVvb1ycVCVvBwmfLVI1kb8gNMaBsUrGn/gdd9xhgpJs2LDhsJjnzZz2J554Qi666CJD4k6H5Egjb6oBU+KwacCd6h/+8Afz3Zkq53jBc6qKkreDhPdWydsbFydVydtBwnur5O2Ni5Oq5O0gYdkypQi/48TR/vTTT2XKlClmLJxAHYO5BCV54zWNqXDnn3++ZGRkRMznPhLJ2/mmfHeGTYgud9VVV8nkyZNNQBhn+ETJ20HKe6vk7Y2Lk6rk7SDhvVXy9sbFSVXydpBwbZG2Ge9lvNO2ErITaSyeVbIr60B3gyBv1MR0SpjP/dprr8Woh49k8nY+Fh23sWPHGje5jz/+uHFLi30ArlaXLl0mGzZsdC4NfEtUtF0B+pJ3F5DANwWFRaFpjpS83WjH7it5x2LiTlHydqMRu6/kHYuJCcn5+uuvy+jRo83c7qeeeso4aHn66afNMRG+SGOLYRcS2mAs/SVvOh1ELbv66qvNcICXJkHJ+8CXxaVqQUGBnHDCCUZDQdhWVOvd3T1K3j6VX8nbB5i/Jyt52/FR8rbjo+TtgQ8Ns0PeSFrM//3P//xPM/b55JNPGiLHgcmJJ55oVOjDkbwhbrym3XLLLXLDDTdIc3OzpwSm5H2ggoAXkjZx1rF3YDrZu+++K+XlFUreHv8hkpS8fYD5e7KStx0fJW87PkreHvi41eaE60QyLSsrk40bNxqPa/g1R+qdNm2a/PGPf0w6qpjHI1NKogwQCRoB1Lfr1q1PeOWP8eKLL8mJJ54kn346wff+kpIyqa9fknC+yZSBa3Nz86WtvSOU/JGKZ82aE2je4FZbWydPPPmkmQt/zTXXCPHVk33vRK+fMWOWdHZ2hZI/oV5nz5kra9euCyX/1tZ2KSwslhUrekPJHwynz5gpHR2doeRP47goPVPWrFkbSv6NTc2SnZMbCv5809raeqmqqhYCCiVa35K5bvnyFbIoPcMEb0rmvkSvrampNfUn0euTva6svEIaG5vMVNhk7413Pe0EM2loP5lqG+/6VM5XVFRKZVV1KHlTnpzcvNDaZtqE0tJy6evbEmFjlSgRfi+RC/G8deGFFxqCdo9tY5HM1CrmgA/mPG/I+/HHn5D29g5ZuXJVQivXfvDBh0Zz8M4770pDQ6PvfcXFpVJRUeV7PtFn+l2XmZktNGJ+5/uT3traJrNnp4WSd01tnTFeJDLZPffcIzT0/Smr372Uv7m5JZS829raZfacNOntXRlK/jRehYUl0tXVE0r+YAY+jY3h1J/29k6Zv2CRQFJ+36c/6YsX15oGMgz8ybOysloqKqvM0E5/yul3L53KefMXhlb3aXfy8wtDwb63d5XpGCCYhPF9ly5dbjpPdF7DahvKyspN58Dv+/Q33bTNIf238B8Ct4RK3lgb42ENadsdVYsAFkjlJ5988qCS98iRI42hGQZ2+/d/F3fdvfsbQ9bMYX7kkUeMVPHtt/t972tpbTOVO5G8U7mGBmzT5s2+z08lT+cexvCzs3NNx8tJC3JLnXjuuefkrLPONh7ZgszbySsrK0e2bNkaCj47duyUnJw8oS47zwtyiyFfU1OzfP317lDyp6yZWdmyeXNfKPkzC6OktMz8v4PExckLiQzpMgz8yRNSQrvC8JjzzCC3X375lRSXlMnevftCyR9tYkNDUyh5Y6hL5x5jVISvIHEhr7179wrSd3NzqwlBHHT+5NfR0WW0cmHkTZ7V1TWyaVM4bTOG3rQNoZI3Bl1EnXr77bfNtCGctOBGE1UpKvOHH354UNXmzDl/8803TQWJp0lgahMqNMp81llnGdW/M5/b714d8/ZDRuS77/4iM2fOkjPOONNYo7s1M/53JXdGrc3teIHPjp077ReleJYGuLKyKqLTnmJWnrfpmLcnLAcTIT+0Q2Es/FeR/ogYGUZoZ9pVOq8QbFg2UTrmHadmYGXMePdJJ51kJHA8kOHI5JRTTjEe1nBu4sz7jZNV4KcTtTbH0IqeDmr+l156ybxLaWmpMcCKVyglb3+E+IMiOY0e/awcd9xxZnph0HVBydsff84oeXvjAzkh2a9cudJI9t5X9S91374/GbV8WOSk5G3/PkrednzMWf4IzOtFTY7XLRyZIIGHVWkTKJK5JBHypuz4YEfaPuqoo8w49/Tp0xN9hCh5+0MFeaPay8jINK5UCRVLZy/IRcnbjqaStzc+St7euDip4KOSt4OG97a+vsH4OfE+279U+BRD5VDV5k4R+fymRQcAACAASURBVNhIsDyU8SSIm7TBXPzIG+kP5zLp6enGUv7oo482093oeOCzPBmCUfL2/8IOebe0tJphlZ///OdGDRdkvVDy9sefM0re3vhQB1Xy9saGVPBR8vbHhzOHDXnbX3NwzkaTN0YYjNF/8sknJi416v3HHnvMOBdBfYZHrWTVukre/t/WIW8aSaKR/frXv5ZJkybF+ED3zyH+GSVvO0ZK3t74KHl74+KkKnk7SPhvlbz9sen3GcibqWJ4giP2No5lbrvtNrn++uvlhRdekOzsbONUBI0BlTWVRcnbHzWHvDFMwaL3xRdfNJ0mOlCp4h39NCXvaEQij5W8I/FwjpS8HSS8t0re3ri4U5W83WgEvA954/0Ny3EcyeAwhKlLxOS2xaFOphhK3v5oucn7wP5S47iFcLFoOYJYlLztKCp5e+Oj5O2Ni5Oq5O0g4b8d9uTNR0ZyZU4v48WEAHVWx+Nasqpof7iSOwN5I2VjiMZUNiQ+xuODXJS8/dF0kzdX4QcA97m4m2U6YRCLkrcdRSVvb3yUvL1xcVKVvB0k/LfDnrwPTOZvNdbaECU+zZFwWYn1/OyzzyY05cofotTPRI95p56T/51K3v7YRJM3DUJLS4vxukf40CDmjyp5++PPGSVvb3yUvL1xcVKVvB0k/LfDnryZG40LTMaWP/zwQ+MSk5jerJ999pmZNhZEI+0Pof8ZJW9/bDiDZ6/8gkL7Rf04G03eZMUshHvvvVfuvPNOownpR/bmViVvO4JK3t74KHl74+KkKnk7SPhvhz1519XVGYcseOIhBCTOTpwVIyW8MFERBmNR8rajPhjkTYkWL15sDNfef/99ewETOKvkbQdJydsbHyVvb1ycVCVvBwn/7bAnb3ybn3/++YNG0P7QinFvmox7VFtefudUbe6HjIiX5M3VdPIY+ybcKiFE+7MoedvRU/L2xkfJ2xsXJ1XJ20HCfzvsyXvFihUyYsQII00RqIAxcBptVlSk/VGZU4Ewcopn8OZ3nUre/hWPM4MlefO9ioqKjH3EF198YS9knLNK3naAlLy98aEOqpMWb2xIBR910uKPD2eGPXljUT527FgjfTPmjdeynJwcs+bl5RmXqckSOKRPgBCMm1CxNjU1GQnNHbUM8CB1OgxYLuOalRVnK04IUiVve+UbLPKmVFu2bJGXX37ZhJPlG9JYpLIoedtRU/L2xkfJ2xsXJ1XJ20HCfzvsydsxWDvmmGMkeiVYCYZsyUzPotIwZn733XfL7bffLvfff7+xXB81apQhajeUTFHLysoyVu1cx5zum2++2ZA5+Sh5u9GK3R9M8ub7EHnu7LPPltmzZ6fsB1/JO/a7ulOUvN1oHNqn/qnkfQiP6D3wUck7GpXI42FP3pGvE8wREjUGcEjgLEjeWCjjJc29cN3OnTtl69atJpnjW2+9VebMmWN8rCt5u9GK3R9M8qY0fGOmEhIPHp/4qSxK3nbUlLy98VHy9sbFSVXydpDw3yp5+2CDipwKxFJdXW3G1TGOi14gbLc6/cEHHzSRzRh7V/KORivyeLDJm84ZHbNf/vKXxlWtM9wRWUr7kZJ3fHw0nncsRkresZi4U5S83Wh47w9L8u7r6zO+wRcsWCBr1qyRJ554QkaOHBmz3nffffLmm2+m5KSFhn3WrFnyyiuvGPU504qYeua3MK6O8dzvf/97qampMePhkDdq++eff17Wrl0r27ZtD3ytql4sRM0KI2/yLC4uEeLShpE/8YDT5i0IJW/Ku2nTZqmprZWOzk7fZ7S3txuPa7ivJYxssu85N22e9PauTPq+RJ6DWnX+/IVGs5PI9cleQ7jUiopKWb9hQyjlpzxz5s6T5StWhJL/2rXrJCcnz9gvJPvuiVzf0dEphUXFsnXrtsDLT57NzS2ypKFB8L2fSHmSvWbduvWSnZMrmzf3hZJ/Y2OzlJdXhpI3HjMX1xz47xKWMtl3j3c9Wre2tnah/YRP4l2fyvna2nqpr18SSt6Up6govLZ5/foNf8dmS4Rw6sd/0enfi05wjjEwwkNWWVmZAR5DtVdffTVmxZCN2NiO+tu5P5EtZLxo0SL5+OOPTeQvglqsXr3a81byx3CO6UdYL1PxWBzyfvTRR6WpqdnElqbBDHItKCiS4pLSQPN0l2/hwnSpq6sPJf+GhkaZOWuO9PQsDSX/9o5OU8HLKyp986fjM2PGTPnZz34mH48bJw2Njb7XunFx9il/Xf2SpO5x7o23bWxskpkzZ0t3d08o+S9eXCN5eQXS2toWSv68H/jQiMV711TONzW3SFrafDM2msr98e6BmDKzskPBv7tnqZSWlktJaZkhkXhlSeU8dZvOU2dnVyj4l5SUmc5TKmWLdw9tQk5unlRX10hnV3fg5adjVllVLbm5+aHhA7kWFBQGXnYHO9rm2pDaZtoEuCXweN6oVFBxYogGyeKIhUAT0euePXvMdY7625N5LYlMNyPv5uZmExmMjkD0wjX4Un/33XdlzJgxhrhRpbNA3njyctL37t0nQa808DQEQefr5FdZWS304J3jILdIBOkZWaHkTTmZz00DtmJFr+UZe41ki60C7nXb2tos18Z+v0XpmbJx46ak7kkUQyziMzOzhXqc6D3JXLdmzVojGaDWTua+ZK5dlJ4h9OKTuSfRa5FeaSB37/4mlPypN9T/MPDfs2ev6RRAIjt37Qql/Nu37zCaAwxwE8U0mes6O7ulrm5JKHnT7jY2NcvKlauMxjOZciVy7VdffS3Ll6+QhoYmM2U1kXuSvQYCZE32vkSvr6ioCq1t3rFjpyxZ0hA8eUcTaJDHED2SNB0BOgeMXaPyHjdunLzzzjtmHBwDNSoX1uY4+SDUJ3G5Ub846YyD65i3/csM9pi3Uzo6YGhxTjnlFMnMzDTf3DkXb6tj3naE1GDNGx/aGbU298aGVPBRa3N/fDgzLMe87a/Uv7NI8qjAZ86cKQ0NDUYS++ijj4w3LmcsG6O0jAwkivVmTP3CCy+UhQsXGscfOP9gfvi+ffuUvON8iqFC3hSTzhYe1+655x4zxz9O0Q+eVvI+CIXnjpK3JyyGnJS8vbEhVcnbHxvnjJK3g8Tft870r/fee08gaYze3njjDVmyZImRyDn/2muvmZjckDdj74x1E6cbwzTWadOmmSlkKnlHgRt1OJTIm6Ixq4COGEFtEl2UvO1IKXl746OStzcuTqqSt4OE/1bJ2wMbpO8vv/zSWLEy7oiBnNvRC8fMC0Ztjnp9x44dEStjZKjelbw9wHUlDTXyZsiDDtttt90my5cvd5XUf1fJ2x8bzih5e+Oj5O2Ni5Oq5O0g4b8d9uSNkxTcoEKiSMUYZ6SlpRmJGQmZMWnHgMwfhnDOKHnbcR1q5E1pq6qq5LrrrjMud2lA4i1K3naElLy98VHy9sbFSVXydpDw3w578mZuLnOrkZQh6ZKSEiM54RENF6epzvP2hyzxM0redqyGInlTj5h2eNVVVxk/9fY3OCBZ7vryy3iXpXSeDmlBYVFonU+stZlOl6p3uUReSsnbGyUlb29cnFQlbwcJ/+2wJ2+CgZx11lnGwAHV9gMPPGAaXyzE8Z51zjnnhNo4+UOrIUFt2HBuKJI35aJO4bQFu4d4WhuVvO1fWcnbGx8lb29cnFQlbwcJ/+2wJ++6ujo599xzDUF3dHTI7373OxMshFfG4xnTf1Jxe+kPWeJnVPK2YzVUyRvpe/z48XLccceZOeBu97fRb6TkHY1I5LGSdyQezpGSt4OE91bJ2xsXd+qwJ2+capx33nnGnziGRrhKxWUqEhOhOk844QQlb/cXT3KfifpM2A9jGarkzbtSry644ALjYAdDNr9FydsPmQPpSt7e+Ch5e+PipCp5O0j4b4c9eTMuiI/za665xngzg7BxuoG0jeMNvJthFT4Yi0redtSHMnlj+Dhp0iT513/9V+Okx0/6VvK2f2Mlb298lLy9cXFSlbwdJPy3w568aVQh8KVLl5pG1jG+YboXgUTwehZv3NIfnv6dUfK24zeUyZv6gwYHewqC02zfvt3zZZS8PWE5mKjkfRCKiB0l7wg4Yg6UvGMgiUk4LMgbH9YYGRFvu6Cg4OCKtzOcq9AQD8ai5G1HfSiTNyVHXT5lyhQ57bTTjPGjV4AbJW/7N1by9sZHydsbFydVydtBwn877MkbBymfffaZcW158803y6WXXmqM1rAWZv/tt982anR/CMI7o+Rtx3aokzdaHfwInH766carHg57ohcl72hEIo+VvCPxcI6UvB0kvLdK3t64uFOHPXnjR5zGFTelhPBkzjfSEr7JiRLFeLiXxOQGIax9JW87skOdvCk9Qy6Eeb344ouNM6BoLY6St/0bK3l746Pk7Y2Lk6rk7SDhvx325O3M8+YVkYyInU1AEYzWCOWJIZszDu4PQzhnlLztuA4H8uYNMF777W9/a2YyRI99K3nbv7GStzc+St7euDipSt4OEv7bYU/ejGnTsCIhMUaJVzXGvVmY533qqafqVDH/7x/3zJE6VcwNDA3JrFmzjOMWosm5FyVvNxqx+0resZiQouTtjYuTquTtIOG/HfbkTQCJ22+/3RA10jZxtYnwhZtUokNhLaySt38FiHdGyfsAQtu2bTPhQukcMg7uLEreDhLeWyVvb1yUvL1xcVKVvB0k/LfDnryRttvb241qE+kblfkf//hHM9594403mrHvwRzzvvPOO81ccxr/vXv3Bb42NjZJd8/SwPN1ylpZWS3r1q0PJf/Nm/skPSMrlLwpP7MQWlpaZcWK3n4/Y/fub4xdxSWXXCLp6ekH81uUnikbN246eOzgFsSWYaDMzGwhSl0Q+UXnsWbNWqmvXyI7du4MJX+etyiduPcbQskf3+xFRSXCt4l+tyCOqTfU/zDw37Nnr3R390hHR6fs3LUrlPJv375DCouKTdsYBB7ReXR2dktd3ZJQyk673tjULCtXrjJTfqOf3d/jr776WpYvXyENDU3GTXN/8/O6v7W1TVi9zgWRVlFRFVrbjGMuBLe+vi3i5+PCv1sh8j3bSeccDlhwZ+ksOGeBzDFUKy8vN/NzsUgnPZVCOPmmsmXM+4477jDj8E1NzbJ06bLA14KCIikuKQ08X6esCxemS11dfSj5NzQ0ysxZc6SnZ2ko+RN0g8a9vKIykPwLi4pkxIg75OKLL5HKyirT+FL+uvolgeTvYO5s6ZjNnDnbPMdJC3K7eHGN5OUVmAYmyHzdeYFPbW049aepuUXS0uZLV1d3KPiXl1dKZlZ2KPjT4S4tLZeS0jJpa2sPpfx0XOfMnSednV2h5F9SUiY5OXmh5E2bkJObJ9XVNdIZwvel01RZVS25ufmh4UPbU1BQGAo+/Mdom2tDapvpdMAtoZL35s2bjTXw1q1bZf369UbaQtJG7YLzFuZ+jxs3TubMmWPCg6JaH6jFIe/nn3/eOJDZtm27BL1WVS820mXQ+Tr5FReXyLJlywMvN/mvWrVa0uYtCCVv8t+0abPU1NZKR2dnIM+gjs2ePcf4y//oo48FzcHctHnS27sykPwdzJ3t6tVrZP78hca/upMW5JYGoKKiUtZv2BBK+Skr5LF8xYpQ8l+7dp0hDzQUQeLi5EUDj+SKhO+kBbUlz+bmFlnS0CAbNmwMPH/KicYsOyfX1NOgyu3Op7GxWejguNOC298mi2sO/HchkODyPdAGwxt0mmg/ceQVdP7kR6cVzVYYeZMnnYOw2ma0ZQewCVHybm1tlQsvvNBEEnvooYdkwoQJsnHjRmNtjn/qX/7yl0b6ZeybUI80wAO1qLW5HenhYm3ufosNGzbIU089Jeeff75R5+Xk5ouGBHUjFLmvY96ReDhHOubtIOG91TFvb1zcqcN+zBtr85///OfGmGjs2LHCmOQ777wj9KwWLlx4cKoYluePPPKIMWRzAxDmvpK3Hd3hSN40KnQKf/aznwmW5/MXLFTytnxmJW9vcJS8vXFxUpW8HST8t8OevBsbG+WKK64w6nIMSxYvXmy8qmG4NnfuXON5jTjfjI0//vjjxoGLPxzBnlHytuM5HMmbN8L48OmnnzYan4mffa7kbfnMSt7e4Ch5e+PipCp5O0j4bw8L8saTGh+bBY9rb7zxhpSWlhpLc8KEQt4so0ePNq5UzcEA/Ch520EeruRNR7Cnp0f++7//W5577nkzZmZ/09TOYrNRUFgUWmAdxl0x6gtzKqWSt/e3V/L2xsVJVfJ2kPDfDnvyphH93e9+J9OmTTMqcYzDcJHKfG+21113nWBtjlHCqFGjZPbs2f5oBHxGydsO6HAlb95q3759Zuwb//mo0cNYlLztqDKdCKv/sGaRbNi4URoaG0PpPCl527+tkrcdH84Oe/LetWuXsTa/6aabjLMWHLaMHz/eGKc98MAD8vDDD8vHH39sxsHZRzIfqEXJ2470cCZvfJx3dXXJcccdZ+Z/Q7RBL0redkSVvO347Nv3J6morAottgOzRbDYDmNR8o6P6rAnb15x//79piGtqakRrIE5xmELc7t7e3sF1TlRxpg2xh9+oBYlbzvSw5m8eTMamGuuvU4uv+IKYdZD0IuStx1RJW87Pkre/vgwZZgpeh0dXaF1bpjGxRrWcliQd1jg9DdfJW87gsOdvHm7sW++JSeccIK89957gatXlbzt9UfJ246Pkrc/Pkre/thwBjuYtvaOcJ202IswuGeVvO34Hw7knZGZJRdddLFxyev2eW5/88TOKnnbcVLytuOj5O2Pj5K3PzacCY28GW9ELT7UFyVv+xc6HMgb96Jvv/2O3HrrrdLU1GR/4STPKnnbAVPytuOj5O2Pj5K3PzacCY288/LyjGU5Y9r8gdesWWMvySCdVfK2A39YkHd+geTn58sNN9xgDCXtb5zcWSVvO15K3nZ8lLz98VHy9seGM6GR95gxY4yzFQKSrFy5Up588kl7SQbprJK3HfjDhbwJovDoo4/KzTffbNzy2t868bNK3naslLzt+Ch5++Oj5O2PDWdCI++JEycahyvE7CbgyGmnnSYdHR0xa2dnp0Cgg6ViV/K2V5DDhbwJn/fBBx/I5ZdfbgLQ2N868bNK3naslLzt+Ch5++Oj5O2PDWdCI2+mfxEn+5RTTpGTTjpJfvjDH8pFF10Us+I2FZeoeMRKZmEKECp55pDj4AUJn5fxWhh/xy0rxkqsNLhO/HAlby/EDqUdLuRNYJKKigrjLAh/+kEtSt52JJW87fgoefvjo+Ttjw1nQiNvJ3OCjUydOlXOO+88qa6ujlmZ901s72Q9MEH2eGLDO9s555wjf/jDH2T+/PkHXbC6X5swpLhjveyyy8yKz2tIm0XJ241U7P7hRN7Lly83wXEefPDB2BdNMUXJ2w6ckrcdHyVvf3yUvP2x4Uyo5I10jNRLiE+IFcL1WvlIyS7kM2XKFKFzQBAKApzccccdRi3vzovrUNvjBIbrkNKJXIar1q+//lrJ2w2Wx/7hRN5oambMmCHHHHOMGfemfvZ3UfK2I6jkbcdHydsfHyVvf2w4Eyp5O4+GwHfv3m1CgBYVFRnSnTVrlhAqFLV3Kgtj5NzLB6YRZgrQXXfdJZWVlRHZQd5ffPGF3H///aYjwbUvvfSSCX5Cw6uSdwRcMQeHE3lTZ1Cdn3zyyVJeXh6I4dqRRt5gSKeXYSr+W/EWJW87Qkre/vgoeftjw5kBIW8kHsJ/3nPPPUYChkjvvvtusw+Rrlu3rl8Ga6jcmZo2cuRIY9nufmXO0Ulg/B3/6ajwH3roIWlubjaNN+TNfa+99pppkPbv/06CXlta22T58hWB5+uUc/HiWtm0eXMo+W/fvl2ys3ONO1vneUFu9+zZa6JmrV69JpTyU9asrBzZsmWryZ8hmmuvvdb41YeA+vsuGMLl5OSZqHj9zcvrftxDNjU1C50or/NBpGVmZcvmzX1x84e0Gebi/4OWC1sVvNalpaWZdIYl0G5B2Lg/pmx0sEtKy4x9ShBljc6DelNTUxsK/kQ65H/LTAWEj+hnB3H85ZdfSXFJmezduy+U/JcuXSYNDU2h5M03bm1tMwagtPFB4OHOg3qEb/bm5lYTZMh9Lqh9XK92dnYFXnanfNXVNbJpUzhtM/9H2oa+vi1JDzvDkd9zE6Xf/tq1aw1ZM9aI5E2EJyRlpG/U2e+++25CvXiv/JGkmYoG+X744Ycx+XAe4znGvIkuhbXxK6+8IjQ0EDvkfaAhekLa2ztk5cpVga/FxaVSUVEVeL5OWTMzs6WxqTmU/Plzzp6dFkrelJ/GpbS0XOiAOO8T9JbyNze3mPzr6urlkUcelbPOOutgWn+eR9CH2XPSpLd3ZSjlX7KkQQoLS6SrqyeU/Hl38Gls9K8/+H5evLhGJkyYaGxMzv3tb+XSSy8zxqf8n4gMSNAh/t8vv/yyfPTRRzJp0iSZMWOmzJo1W8aNG28IlkZyxYreQN+DepOTmxcK/nzTyspqEzikuzsc/MFk3vyFxr92f+qh3720O/n5hYFi7jyrt3eVFBYWS339EtPJcdKD2i5dulxqa+vNM6iDQeXrzqesrFxKSspCyZvnmLbZ8t9ylyXZ/a6uboFbQiVvJN8zzjhDvvrqq4geAmo3JHLO0XNLdoGYt2zZYoibDsCmTZtisiDfBQsWGMl78eLFpvNAbPHp06eb3rRD3hixQSTr1q0PfKVyUMHDyJs8c3PzjY/bMPKn0Zo1a05oZadnXVZWIY2NTaE9Y8aMWaZ3DT6rV6+WgoIC+cd//Eepqqo2Pfv+4IZUNnvOXFm7dl0o5W9tbTeNF6TXn3La7p0+Y6Z0dHR65k+jWVpaZiL/HX300UZL1dLSapwu9a5caWxM+F8hfaNFI/Tv8ccfL7/5zW+MbcGJJ54k5513vukwjR//qRQVFR/8FrYyJXqOTmt2Tm4o+PNNIQ/qCQJAomVK5jok+0XpGaZeJnNfoteilYBgE70+2evKyg/8d9GAJHtvvOtpG+i80n6GkT/Pr6iolMqq6sDL7rwbHUv8jzvHQW5pExB8QiXv2tpaI+lEW5RDvsuWLTN/9mTJm7E3pn+NHj3azN/Fopz8WFkYL+F5eHZDKs/Ozj5I7DTe3Mezdcz7ICyeO4fTmLfzghs3bpRf/epX8umnn5oOpZOeyvZwHvOmc03H+8YbbzRTPj///PODUyxtWPFfhuz4n73//vty5ZVXmRkh//Zv/2byycjIMPYntjwSPafxvO1IaUhQOz50TlnDWoZ9VDHGl5nO1dPTE/HnZxwJqRjVG4PviS4QNPeOGjXKqMCXLj0wJuWMtUHsWJ93d3eb8Zg333zTqPJI594JEybI888/b3q7St521A9H8mYcFm9rjN16aWvsiESePRzJm/8IRqb8T4iFjk94SDwRAzXQ4X46zvhSAGskP/6vaMlGjBhhpnXisCmIRcnbjqKStx0fJW87PoLR0+uvvy6nnnqqIU2meCH1YMB28cUXmxjeNBaJLlzLmDX3MncbNfgtt9xi8kMdDknjBpMxdYySGhsbzTmM5O69916zz5g7BhdK3nbUD0fypqOYlZVliKm/JHK4kTcEjdQMYZ9++ulGq4X2CuOtVBa3tTmEDt74ZMDPPFNI+7soedsRVPK246PkbcfHqLCRcCZPnmwsVLH8hkRfffVVMwaN+pveeqKLozKHlJEInBUJH+M48mppaTE9fXr/NCA0SIzNYS2Lupw0FiVvO+qHI3lDIlhF/9d//Zfk5uamZG/hoHY4kTc+ENLT0+Wqq64yY9d0cMApmY61g4uzdZM3aXScGMJC20b8A2eqp3N9slslbztiSt52fJS87fiYsxAqvXcMhuh9o0JHjea4KU0gi1AuUfK2w3o4kjdvTL3DuOqZZ54x/gfsKPifPRzIm6lii2tqzKwPSBWr8fr6eqOZ8n/zxM5Ekzd34aKYjjySPa5qkxkyi36qknc0IpHHSt6ReEQfKXlHIzKMjpW87R/rcCVvpG+mMzHNCY1NqstwJm861BiXEev8+utvMMNQzNoIQp3t4OlF3pzDaBC7A2IfMPeeIaxUFiVvO2pK3nZ8lLzt+Azps0re9s9zuJI3Qy+QNtMUsY3gOJVlOJM36nA8Ep5wwglyySWXmCGsRI3SEsXKj7zpODCURrAi/Czgq4EOVbKLkrcdMSVvOz5K3nZ8hvRZJW/75zlcyZu3hrxw1jJ27FjjwcmOhPfZ4UzeSN2Mb19zzbXS1dXl/YL9TPUjb7Jl6AL7k//8z/80Bq0Ytia7KHnbEVPytuOj5G3HZ0ifVfK2f57DmbyR/vC8hwEl0wpTWYYreSNh4+nwRz/6kYx55dVAVeVuHG3kDf4YrC1atMiMfzOPPFl/D0rebrRj95W8YzFxpyh5u9Hw2EcliXc11JP4NX/qqadMj5txLqzAsRrvj0WrxyMTTlLytkN1OJM3b15SUmJ8neNvIJVluJI3RmPPPvusMdr7dMJE2bFzZyqvH/ceG3k7N+OjGe9sV155peTn5yc1hKHk7aDovVXy9sbFSVXydpDw2TLdBH/HzlxsVHVM24K8ifFNNLBUDVZ8HplwspK3HarDnbwxnMK/PlbnqYy5DkfypjONn4Rjjz3WhMudmzZvUMmbGsgslAceeMB4c0MjkOii5G1HSsnbjo+Stx0fo547//zzTeQvpqCgpqyqqjI9bNSVNCLJqsviPDLh00redqgOd/JG44Mm6Pbbb09JdTwcyRtJF2dGuIilY41v8MGUvJ0aWFdXZ5y34LyJaaSo1eMtSt52hJS87fgoedvxEbdv8w0bNsh9991nyBtJB/I+5phjlLzjYGg7jfN+QlOGsRzu5A1mzDW+7rrrTKzvZDEcjuTNf4457vj8x/dCXn7BkCBvtG84hjn77LONpg6Ve7xZAEre9hqr5G3HR8nbjo8Z0z733HNNb5opIfSsy8rKjN/jefPmmeki/XHUEOfx1tMqeVvhMXGk8wsKGC8LVAAAIABJREFU7Rf14ywGS0RzI251WAvktOvLL32zb21tNapzfOAnuww38qbDPH/+fPmf//kf4ywJzcNQIW+wxwc6WoEf//jHUlxcHNeBi5K3vcYqedvxUfK242M8WDGmiOqcaTkXXnihiftLGl6WMBYaLE9rSt72j3ckSN4QMPXyvPPOS0hV60ZsuJE39R2jUfyLO2P8Q4m8UZWjMqdtYP45nhidcrpxd/aVvB0kvLdK3t64OKlK3g4SPlukq76+Phk/frwZ0zrzzDPlggsuMIZqqMmS9W3u85iUkpW87bAdCeQNOTATgo4kUng8Va0bseFG3kzLuvTSS439ifMeQ4m8KRMdeYbXCDzEENu6deucosZslbxjIIlIUPKOgCPmQMk7BpLYBNRzhAfEGQRj4BiuMU2Mxm8wFyVvO/pHAnmDAMFtmAUxderUpKYtDifyJsLe448/LjfddJOJ9Od8+aFG3pSLeejYItChKi8v99WIKHk7X9F7q+TtjYuTquTtIOGzxaLVCUDgtiCF0Ak3iPQ9mGrzkSNHGmcdNMR/+9//DXzt6OiUlStXBZ6vU9a6unrZSvSnEMrOWHFuXn4oeVPeP3/7rTFaXLdufWjPyMnNk+07dljzR7p77LHHzFQlypQolvgvgPyov4nek8x1aKxaW9tMFLxk7vO6Fmvua6+9Vt5///2Isubk5Mm2bdsj0rzuTyXt6927pby8Qr777i9J5Q+eRDkjnjjOW/z+m9Sb+voloeBPGfjfLl++wnjgS+X9493zzZ49UlZeId/u358UPvHydc6v6O2V5pbWUPKm/aZtowNFZ8t5ZlBbjCn5X7a1dZipxEHl686np2epdPcsDbzszjNqa+tl69Zw2uY9e/dKS2ub9PVtsQ4t+dCyfM/vhDu9oaHB+JCOth7lgyPx4KJyMKeKMXVt9LPPSu/KlbK5ry/wtbJqsSxpaAw8X6es+QVF0tXdE0r+y5avkHnzF4aSN+Vft369LF5cYxoY532C3qbNWyA9S5dZ32HlqlUybdp046qzs6tLNm7aZL3eKSON4/wFC2XT5s0JXe/cl+i2o7NTyisqZfWaNf3Kf936DTJq1Ci57rrfSWlZWURe4NPdE0796V25SohatmFjYnhG40JnA9/n9UuWRJTZuQ5iKioqMXY1TlpQW74p/9u6+iWyZu1az+f391lIxpmZ2bJ+w4ZQ8q9f0iBlZeWh5M27V1RWS1t7hyHw/mIRfT91tqW1VcorqmT9ho2hvMPimlphjX52UMcY+4bVNtMmVFZWh0veOGQhelC04QlS+NKlS+Xoo48eVPIeMWKEjHrkEfNHpeEOes3KzpWS0rLA83XKuWDhIlMBneMgt/z5v5gyTTo7g8eFcra2tktubr5UVFSFhs/kL6ZKbV29Pf/OLlmUniFHHXWUvPnW2wnXBRr3qVOnGwkkSNydvKoX10hGZrY0N7fYyx+n3qI9OfHEE+WJJ580ja2TP9tJk6dITW1dv/J35+feb2hskjlz06S9vSOl/CdMmGgMXT//fJJnHaTezJ+/UDo6gq+fdJyKi0uloKDQdC7d7xXUfmNTs8yekyZtbe0p4ROvHHRsMjKyQsm7o7NL0NrwDSDweGVJ9nxrW7vpeGRn50pbezj45OUVSH5+YeBld951wYLw2uam5hajFQ1V8mZ8++STTzZOMNwEzrxOpoydeuqpg0reeHhjmtC+ffvcCoPA9ru6u2X16jWB5Redkc7zjkYk8hi1tm2qmHM1Ua7uvfdeef7554Xx4USW4TLmjeoZKZaOdPQyFMe8nTIytZTIY/igdw+5Oed1zNtBwnurY97euDipOubtIOGzxXL0wQcfNH/COXPmGAct+JQmdjDTcz755BMToMDn9lCT1WDNDu+RYrAGCnge+/TTT804K3U2kWU4kDekd9JJJ5npmV6Ru4YyeTPujGaM9sOr7Ere9lqq5G3HR8nbjo8xNqAHPWbMGGPpijcrPDzhknLSpEnmT5nM9Jw4j0vqtJK3Ha4jibwhCoZx/vmf/9m49GWKY7xlqJM32q2CggIzZxqrbd4xehnK5E1Zp02bZgwJ0eBFL0re0YhEHit5R+IRfaTkHY2IxzGWiThf4A9I5KCioiJpb28308c8Lh+wJCVvO9RHEnmDBOpy/BCgFSLyVrxlqJM31vC33nqrMfpau3at5+sMdfImUAlBjbCSj16UvKMRiTxW8o7EI/pIyTsaEREjba9fv95M98D1KSb/EGX0SjShzZs3J+UYw+NxKScpeduhO9LIG7uHl19+2ZDFihUr7OCImClMBYVFodVfppm0d3TGdRPqVVA0B/hVIGZ3bm6umW7mdd1QJ286UQSPQWMX7UZZydvrix5KU/I+hIXXnpK3ByrM0Xz11VfN/G7GD5944gnj0xy/5u6VMIBvv/22pzrPI9vAk5S87ZAeaeTN9EXUzKeddpqxzbCjM7TJm/8gcbKJ2rd161bfVxnq5E3BJ06cKJdccokZ1nC/iJK3G43YfSXvWEzcKUrebjT+vo+6Dp/lOIZAXT558mQZN25czIqBEA5cvMbiPLINPEnJ2w7pkUbeGHfhrpdwmdnZ2XEl6qGqNuc9Ojs7zTSrDz/80Ffq5usPB/LGH8QNN9wgU6ZMiaiwSt4RcMQcKHnHQBKRoOQdAceBAwzQIGTGulFFQpIYz0SvSDqJGAZ5PCKQJCVvO4xHGnmDBnUX6+z33ntP6ITalqFK3jg9ImLfT37yE2NFbzMIHQ7kzRAcHvB+//vfR3wOJe8IOGIOlLxjIIlIUPKOgCP2oLm5WS677LLYE0MgRcnb/hGORPIGkeeee84ExcD/vm0ZquS9fPlyE+aUsWIbcfNuw4G86eTjRhmNCGPgzjspedtqp4iStx0fJW87PtLU1CTnnHNOjJOWOLcNyGklbzvMRyp5z5w5U26++WYTi96G0FAkb4iNKGn4UKipqbEV35wbDuRNQWlHCCuclpYm+L1mUfI2MPj+KHn7QmNOKHnb8TGW5k8//bSx4mXsCsLE+pwVdRjGNE5POk5WgZ9W8rZDeqSSN7YaV199teBUyLaERd78H/h/1NTUSnZOjuAngQA/TGVjTJ7hJ7e3QncZsTF58sknjS8F4gnEW4YLedNWYOB69913y+7du81rKXnbv66Stx0fJW87PoacsSg/4YQTTIOC5fmzzz5r1hdffNFEDVKDtTggWk6re1QLOH9XCyfiHtWdC6rZK664QsaOHWvtWIZB3hD3xo0b5f7775ff/e73xpnR6NGjzayMjz/+2Bh/Mp6Nv4TKykojXRP8h1jkGKnR4bjmmmuMIaj7nfz2hwt5Q9jTp0+Xn/70p0K0NXBS8vb7qgfSlbzt+Ch52/ERfEZj8frKK6/ErPgsxoPSYBmtqeRt/3hHquSNVPuHP/zBSLBIun5LGORNR5ZZGAw13XXX3XLbbbfL7SNGmPLg55sAIxDYj3/8YxMFjXFgDOzOPvtsufjii00nGenUzylL9LsMF/LGgp4Qwv/yL/9iOixoH5S8o79m5LGSdyQe0UdK3tGIDKNjJW/7xzpSyRtU3nrrLeOdrKOjwxekMMgbRyQE8kErRSxvPyctjPsy5IRxGpJ3aWmpLFq0SKZOnWqOfQsddWK4kDfFZugA18po7xgeUPKO+phRh0reUYBEHSp5RwHidYi1KI0gvsxff/110zDS0DCul8qCZATxEi0Jy2DyjecRi2lrPT09Rq2IWpJFyduO/pFM3nl5eUZlXV1d7QtS0OQNcRNpD8kaNfimTZt9yRtJlP8Bkjr/LyRR7meaWDKarOFE3uDNFD4cttBpUfL2rZrmhJK3HR8lbzs+xsiGsSqsX7HgffTRR43hCeNyqCYxDoJYk1mQOgh0MmPGDCkuLjbqePJ1SDk6L8bHMPZ5+OGH5fLLLzcNI9coeUcjFXl8JJN3S0uLCaTDkI/fEjR5I1ned999cuedd5rhpv64R/Urc3T6cCJvOioY7xF3nfCma9euk4bGRqtdQvT7JnpM54hQvjzPsW5P9N5Er9u3709SUVkVmpMqJW/7l1DytuNj/CtfeumlpsfMdA/+DPSaCU7y+OOPG+tRpIZkFv7ESPK4gMQJDBGTiFJGR8BrgbiR0lFF/va3vxWs3lmUvL3QOpR2JJM3RPrII48YIj2ESORekORNncbg7L//+7+NMRoStJJ3JN4QKlqGs846ywSPaW5uUfKOhCjiSMk7Ao6YAyXvGEgiE2pra42vaEgWCdhZUO0h3Rx//PFG1eekp7JlPitGOjiEiV5oBBsbG01MYFSRWBEreUej5H18JJM32iCMLJkyBkl7LUGSNxbuRM7C+IzOJkSl5B2LOkMFDL1df/31kpOTq+QdC9HBFCXvg1B47ih5e8JyKBFpG8nbi7yRnlGnR0cLOnR3/L2vv/7aSNVISc78T+cu/uiMhTPPnMhKGPhce+21EeSNinLMmFeMMczevfsk6LWxsUm6e3oCz9cpZ2Vltaxbvz6U/Df39UlGRpbxje08L8gt7kebW1plxYreUMpPWRelZ5rhlFTKzdQs6icaHa/7MZrKzMo2c6+9zieatmfvXvMMhnTefPNN2bFzp3nemrVrpb5+ycHjRPNL5rpF6RmyfsMGz/dLJh+va+l8FBWVyO7d3wSWP9b/eFvDYcv7738gFRVV/cbfq+w8p7u7R9o7OmTnzl2Bld/9rO3bt0thUbFxYetOD2q/s6tb6urqQyk7PgSampqNJpV2N6gyO/nQNixfvkIaGppCwweDUFbnmUFvqZvr1oXTNu/YsVOYJtzXt8XX54PDg17b73klRqehmmYcLyMjw8TvhsRZUZ8zjxaDMz4UEjIkjvow0QXpHY9LOKUgVnj0ArF/9tlnJroSzyTC2ZVXXikYISFZUTbU7ffcc68Q2rGyqjrwdc7cebJoUUbg+TplnTZ9puTm5YeSP5iM/3RiKHlT/rLyckmbN18yMrNDewblz8svTCn/T8aPl/POP19eefVVz/tpeCdM+MyMWzrfI5VtcUmpjB79rPzkJ/8l6RmZB/PLycmTWbPnSnFJmefzU3lW9D2fjJ8guXkFoeRfVFwik7+YKuUVlYHmD17HHnuc3HDDjfLZZ5MP4hX9bv05Zix64aIMmb9gkZSUhoM/7zFp8hQpK68IFB/nvRcsTJdZs+eEkjfPmJs2T7KycwL/vuQNJhmZWTJ7TpqUlwdbfxx80uYtkHnzF4SGz7TpM0Jrm0tKykzdDJ28kW7/4R/+QY477jjj55xxZyxqf/CDH8gFF1xgnEogEY8YMcKEZIwmYb9jIpcxbo7xipfRG+Ed8at+yy23GEM5HF/w3LvuusvMFYW8R44cKcw3p/dIHkGv7e0d0rtyZeD5OuWsra2XLVu3hpL/zl27JCc3X/4aAi6Un85aV1e3MTxy3ifoLQSIhJNKvgyzUHdee+01z/tRb+flFRjr7lTyd+5hrJtOJPWTDqmTvnlzn7S0thrJ0kkLepudg0Zq28FnBpk/neeysgrZv/+7QPOng4+m7fzzL5BJkyZHYBZU+fkOvb0rBdUqUmZQ+brz2f3NN1JaVm4M4tzpQe2j0cIuIKj83PnwDWjb0Npgs+Q+F8Q+bQO+Clpb20PDB80KaxDl9cqjpoaomuG0zWiGWlpaw5W8d+3aZaRjVJDE5SU8KFO7cEQxfvx4+eKLLw6us2fPlmXLlvlx9cF0jFYg7j/+8Y9mPBup3VkYK0Sqp+HAQQxj7niiQtpGdY4zC56JylMN1hzUvLdH8pg3iDAOjRr7jDPO8AQoqDFv5mbjYAXDS/eiY95uNCL3CwsL5eyzz5Gxb74VYUsTeVXqR2ptbscOfOh4b9682ZCf7WqInmnBo0aNMsaY0cObXvfSedqwYaN0dHQlpY31yssvTce8/ZD5ezofjo+FajzeCuHGszynh7N69Woz5kWMX1xHIjlj7IMFO0ZxSPCo0538mOoBwUPm3ONMT1Pytn+8I528nWGZX/ziF0ZLQIPlXoIgb+wwkCKR8JHk3YuStxuNyH2GwJhq+tBDD6U05heZW+yRkncsJu6URMkbCRqDYeo3swToCOfk5MTYJ7nzZl/JOxqRyGNwbWvvCFfyjnxk/48wQsO38UcffWSkd6R5VqQX1OeQN8dUGF7QWahsHGPswv0sSt4OOt7bI528qTN4LsMlKR0+OqLuJQjyxikLQ0ZopKIXJe9oRA4d07gT8hTfEc7/+dDZ/u8pedsxTIS8+X8gUN12222mo5WZmWmGLK+66irBCZItcI6Stx1/sAvdYM1ehME9q+Rtx/9IJ2/Q6erqMjYZ48aNi+gMcq6/5I2WCckRuwuv2OFK3vb6OXfuXONtjY47/2U65+7pqPa77WeVvOPjY1Obo2VFwqZjSgeLacFgin96pHA0oFVVVb4OcJS8/fHH+LqtrU3efucd2bhxU9xhC6+cErI297pxqKQpedu/hJK3mLE6Zksw3TBaUugveTONEYNNXH6iUYpelLyjEYk8ZgomgVt+85vfGEJAysOWBRL3wjPybvuRknd8fLzIG9z4X8ycOdPYF2GXhA2Se1m6dKmJG4CfejrHDIVGL0re0YiI6fww/Eun5/e//70xAGcI2Qu/2LsjU5S8I/HwPOrq7jZuFj1PBpCoIUHtIOL+M9mQoO4cMbhkiOaXv/xlzJh0f8kbI07GbR2nQe7nsq/kHY1I5DG+zauqFxv80F784z/+o+kMETIVya8/i5K3HT3w8SJv7IuYnfGzn/3MGHsy08NrwaHWjTfeKETKw+iN/NyLkrcbjQP7kDSdotNPP90YuM6fvyD8MW/EfFQozzzzjLz66qvGcQoqw/Xr10t3d3e/e8mxr5lYikredpxU8hbTq8WZEMSAO173kip501AxYwLvgu+8805Mp8B5hpK3g4T3FvKm80pbQieL78Q4OFHZcOLCrBaMVFNZlLztqEWTN8MVtOcPPPCAHH300Sb2Ov8XPw0I9R/PmHgwZMVw032tkvch/MGaqWEYZmPwh28UtHY4yQl1njc9rw8++MC4Jb3jjjuMuI/xDx+P6Vu4NY1nYX7oNYLdU/K246nkfQAfxul++MMfmiA47mmJqZI39T09Pd30oJnG6Kf2UvK21093VDEaOAwKMV5jeigNHa6QkezQnGBTkEw7o+Rtx95N3gxT4BMBwzR8eCCoMXPCTcZeuTEMBYEzTRIeILCUc4+S9wHEwIFpdgzdXXjhhaZDCk6QeejW5vSG+Th8UBoqpnGhs+cj4ZzihBNO6Ldvc6+KkUiakrcdJSXvA/gwjopnPnxqM/fbWVIlb1S6jFkhpSCt+C1K3n7IHEh3k7f7SjpDfDMiDr788svGD/pNN91khAjaHHcHzH2fe1/J241G7L5D3oxnM+ceR1wMAeEYCzLnfCILJITlOdPIkChxzMK9St5ibGwQdHHghHZi/vz5xuEU+IBx6ORNLxjHKJA1czPpQUDeqFkwVkDFksifKZGKkOw1St52xJS8D+CDFPHss8+auutWw6ZC3mic2tvb5Uc/+pGZhmar+0re9vrpR97OXbQ5+HpAaCBkMFOUIJmSkhLT+DnXeW1pIDUkqBcyB9LAB+9tU6ZMNaSNUEZb70jO/nfGnmGcnPDO5557rjHeRLLkf3IkO2lBSEDgpUNE+OyKigrjVtxBb0DIm8AkfBR6VHhPwzUpPWLGODAsQSqnIIOxKHnbUVfyPoAP0gHzsM855xwz1uSglgp5M4yEY6Ezzzwz7vxkJW8Hae9tPPJ23wUZEP8AIymkGPxAkOa3KHn7IXPA6hnCnTZtmpx22uly7733GUHM/474Z9CWEIcCW4UPP/zQaE6ORPJGqKWNAFuGfJhmh3YjulM0IOSNtI0HKeb18XGY98cY1FtvvWV0+BQSFclgLEredtSVvA/gwx8HaQBpmc4oDTtLsuTNfWibUBHiGphOgW1R8rahI5IMeTs5YSCLAEFHDA2In72BkreDWOwW2wHslYgTQUcUwSyIhc4UvICw9+6778rKlauGlHtUiJXV+f/He+f6+oYYI1fbPbQzaPleeOEFOeWUU+T55583hphe9wwIeVOgbdu2mdjIqM9//OMfy1FHHWV6vxA3HyxRMLxeoj9pSt529JS8D+HDn+Xf/u3fjCoLqYMlWfLGQAf//TR6uAymIbAtSt42dFIjb9oj7HBQnzPlZvny5TGe83iqkrc39nR2wOyYY46RSy651GgzghK+wJxhDqJNnnTSyfL6628MKfKGx+jEJ2r4mAx5Y2zZ09Nj7DOwKIcb6dz7tREDQt58bAqBDp8eGibuWH4CAo3fYC5K3nb0lbwP4UMDhQrriSeeMHWXM8mSN84pyAPDHD+J79ATdZ63Gwuv/VQkb/Kh8UUDggodC16+S7QKXcnbC/EDLqVvvfVWo9JNT884GBHQ++rkUyEr7EqYK/7rX/9annvueWMrFe2aOPmcY++IF5iEstDJxmaC//1pp50mxx57rDE2XbhwoRn2ojPot8Qjb9oAeBC3sRhUOnljE0YnxibUDgh5Y02Lmpx5mOxD5M4LY3WLKh0HCxgEodIK4yP5gavk7YfMgXQl70P48EdjTjaWn07ku2TImzqP1I1KEKcstj+m81SVvB0kvLepkje50fjhKAQvXzScuO90S5BK3rGYQzT46WDYB7U584wTiSoWm5M9hf8ansMgcJ513XXXmdgV8EcinV577ofO+pE3xIn70U8++cR47sNGAk0NQ1244sXbIsO/lAs1P/XIi2y9yJt6xbXYXzB7hQ4kBmkYVM6ZM8d0KvGLEm8ZEPLmT8HcP6ZsPPnkk2Ysg54uvV8AQpVOOgQOEFSQgVqUvO1IK3kfwgfyzcjIMPHhndCdyZA3Dc9jjz1meu02C/NDT1TJ242F135/yJv8IGtICCv0Bx980DTCDoEreUcijqCF0xsMjAmpDIl2dnaFQt48+YB2pFs++uhj820gUP4/SKlI5ol0fiPfIPbIIW/y4nnwARbekCqd9Ouvv96EnZ4+fbpRaSN4MmSGHVd2drZxCIQtF50/7snPzzcCqlOHHPImf4bM0DgvWrTIjGVD2tyH0EqwLLTSYJroew0IeTc0NBjfw/w5IGdM33ELCUkTk/vyyy83JvCosR5++GFjiR4LczgpSt52XJW8D+HDnwpnLaeeeqrxHsVxIuTNdcw5JrAJc8VpHBJdVPK2I9Vf8nZyRy3Kt2HePeOOdNT4bjpV7ABCEBtzuSFQvGRS78HHyz2qg2l/txCgY22+bdt203GG8C655BJ56aWXzGwBhmJTlcQpf3t7h1RVVRsbCOZQEySI/HHuM2bMGIG7UJtzbfRCGkSO1A1xc89ll11mCB0SZ3g4P79QOjo6jWEkQXRwRIMFOZyH4zJsL+gQpLIMCHkzJYOP7qjKURmifkRtgJoArzyAwEd4/PHHTa8ulZdJ5R7IG4kf9QxqfSpp0GtLS6ssW7488Hydci5eXCObNm0OJX/+NFnZOfLtt8HjQvmpuPyBVq1aHUr5eUZmVrb0bdnS7/zBAIkZK1D+eN98s0e2b98hOTl5RgXrfA9nS53et+9PhrixGj3ppJOMuo1eu3NNvC3XNjY2yVd/j3Mf7/pUzmdkZhvpKZV7492zc+cuKSkpMzjEuzaV86tWr5bFNbWe+CebX2ZmlmlY8QKJRyu+NZJZd3eP0IlNNr9ErseyuLik1EhliVyf7DVLly6ThobGlMtOnYckGM6EnMAGYzXKQf2mbVuzZq0RvpItW7zraRton5lLvnfvPvNMvgvSP2PPhOkloA/qdbQC/Nf88vzzn781GHPdjh07jQE1wuPsOXPkrrvvNtPT/v3f/93Yo8ybN99Iwby3X37R6WDBdC6MzOgE/uQn/2WGYx5+eJTpEDJURmwEpHnsBJgKlkz+0c/jmHdpDNs9KlNrUC04CxWBaQAMys+aNesgeXOeaQeff/65c2noWyoHUYnuuONOycjIksLC4sDX6dNnyZw5aYHn65R10uQpsmhRRij507B/PG58KHlT/ry8ApkxY7akpS0I7RmUPz09M7D8URtiZTt58hTJzMyWcZ98KgUFRTH5825TpkyTE088SX7+85/L6NHPJl3HFixMl6nTZpgOgvO9g95+/PH40OpPVlaOTJj4uZFAgi43+aXNWyCTv5jqiX8qz3vjjbEmUhNzlxcuTJfZs+eaNTc3P+b7ppJ/9D3Z2bkyYcJn5n8QfS6I49mz02Tq1Okpl516DQ5om84773wZF9UWTJ8+U+bPXxjK9+X/M2/eApk2bUZM/gsWLDJDrQQ/YaX9pix+mNG2f/TROLn77nvloosuMd/4+9//vvzTP/2TmXHwzDOjZfqMmTHP8cvPls43HT9+gtxzzz1mVsl5550nTz31tEyZOs23fLb8/M4hNMArofo2Rx2OOgEnF6WlpWbcgnFuLBZpCOnRMUDPID7zwYmaMlCLSt52iVol71h8MDpDW1RXV+8reaPFITzlcccdZ1RkaJuo38n2tlXyjsXfLYUEKXmTL+pgHEhhJMXwHlot2q8jVfJGunv00ccMHqiCkYYd/AdD8ubZjjaA/xOS+IFpZSeZMsIxaAIY+mAcGf/2uCFG6v2P//gPQ9TM9iAdl6x5eflSW1tnVONoWngn5/1S3ZIHfAZ2dPrQVKB63/cnf81AKs8aEMmbgufm5hqVAQP0999/vwE2LS3NqD2QthkLoEFki+/hgVogbxw2vPnmmwbwMJ6rIUH9UWVcC9UeY1thLf0NCRpdLsZHsVBmqojXmDeeA6dMmWKcgBDLmPoMaaey6Ji3HbWgxrzdT3EIHGnz+utvMGOiqX4/d75e+6h6KyqrQpthw3BUW1u716PjpoEDghTTl7xCrA7kmLffDCSmcqGCZgiWcXCEQZzv4KUNI0SImiEr1Nm4F8UpD3Yr3ANZMyTC0EhYi2OwFkb+1MnQfZsDMJatBDJ0AAAgAElEQVR2DOxjpcvYABWDNBo6BvZRo2MggOVnqgP4qQCk5G1HTQ3WYvGht0+j8OKLL8aQN9ak2E+gaWJKDXU9VYManqzkHYu/OyUM8iZ/2iCMabFTwMKZdsLLaMldllT2hyp5IznSFkOEzBLCOQntuHsZCuTtlAdyxwIdC3AEMcbF0RRgEMbYNlwTXX7udazNnXyC3h4W5E0vgR4PU8RQaTgr82UxkXfI3K+HFTSoTn5K3g4S3lsl71hccOZx7733miAl9OAZF0TtRUhEhn3o8TM/NDr2d2xO8VOUvO0YhUXeEBPfmWlKZ5xxpiGEMKawDkXyRhtGXb7lllvM0IHfPO6hRN5OLYGgk+EQJW8HOZ8tvR4kbqKJUSFQOWLAxhw6xiMws3fmxflkEVqykrcdWiVvb3wY6mEICJU4xnBEU2KKCdNAGCJCJRfEouRtRzEs8uapEAG+tZ9++hkTRAaJzh0O1l6yxM4ONfKGkPFH8NRTT5l3RnJ1ZglFv9FQJO/oMsY7VvKOgxAVAPULc7iZ5824BCpHKggm9Ey6T6a3FOdxSZ1W8rbDpeTtjQ9ztemAzpkzV1559TX5xS9+Ycgc4yYv9Zx3LvFTlbztGIVJ3pAT87w7u7rk7bffNs6kMHTCICmoZaiRN51ODMAYM6Zdti1K3jZ0Dpwb9mpzgonjaB3VOSryUaNGGUkFa0EscplnHeQfIj6kh65Q8j6EhdeekrcXKmIMZJjPydg280MZF8R+w09K8c4lfqqStx2jgSBv7BgcJzsnn3yyCVfZHzsG9xsNNfLG9SfEzfxphoJsi5K3DZ0D54Y9eWMJyFw3PjaEjfq8rKzMSCiY0TNtLCxrznjwKnnbEVLy9saH8U+8MTF/G0cMjH0H1aC7n6jk7UYjdn8gyBujQyRSjLaIw3D88cfLhAkTjJ1ObImSSxlK5I3fjQsuuMB0ROmsxFuUvOMhRCc/uZCg8XM8dMWAWJujSsSBu+NZCjep77//vrEETE8/4AAgqDHCQ6+W2J6Stx0nJW9vfNAU4WwoKyvbOJIIUlXufqKStxuN2P2BIm++N1qVvr4+I5XiZQ9/18zn788yFMibIUtmUKBJYhov9ToRDZKSd/wvP+zJGyMPpl1gtUilYPI8c6upKEy5eeWVV2LC8cWHJZgrlLztOCp52/FhlkRBYVGg49zuJyp5u9GI3R9I8ubptF9I4ASTIJQo85/7Q+CDTd68D1I2syQYAmKIM9EhTCXv2PoYnTLsyZspF3iDcRZU5wUFBUY9g0ccKk9YkovzTL+tkrcfMgfSlbzt+Ch52/FhpkllZVVCkpw9J++zA03elIK2Cp/k2O5AeESJoh6ksgwmeUO+CFYTJ040BpeOB7VE30PJOz5Sw568GR9krGgoLkre9q+i5G3HR8nbjs/hSN7OG2OgiP9qCBxhJFGJ1bmf7WCSN2OmRApjCABr+mSdYyl5u7+k9/6wJ2889RxzzDHebzfIqUre9g+g5G3HR8nbjs/hTN68OYaK2PBAgLjNTXYZTPLGQA3fBCNGjEjJ2FLJO/7XHvbkjVc1HLJQueNNP4gPR7BXKHnb8VTytuOj5G3H53Anb8aMCUnJmDEhKmtqapJyODVY5I2HS+JIXHvttWb6rv0rep9V8vbGxZ067MkbQ7Xx48eb+YMYpxGQJCMjw6z4ol28eHFKPT83SLZ91FlYuvPHwiADt5XOtB4lbxtyYqIp5RcU2i/qx9nhGJjE/bpK3m40YvcPd/LmjbHpQUDBZe7pp59uYjgkOvV1MMgbgzs6GxB3f9peJe/Y+h6dcliQN9aZl156qdx4442mx4elOStRlwhKEpaHNfJlnjke3XA8QNCI5557TnC8QOVT8o6ubpHHKnlH4hF9pOQdjUjk8ZFA3rwxGkWkWVTQV199tRACNpHprwNJ3rR3dCpoBy+//HITMYzvk+qi5B0fuWFP3hhCMNe7paUlZm1razNRxVA/hbEg2RHNDH/TqLeYw8ifC9d/nFPytqOu5G3HR8nbjs+RQt6ggAQOgdO+MAUW6+14vtAHkrxp79B0Eqv8o48+MlPe7F/PflbJ244PZ4c9efMSSMCoa4gsRug2eqUQNiptyJ2KMBAL0zzwqT579mxTBiVvO+pK3nZ8lLzt+BxJ5A0StC8ICARfYh74559/bhy7OMN00WgNFHnTscCbJW6q0XbSDvd3UfKOj+CwJ2+IG5/mjLOcdtppxpOPo1ZiHBoiDUtt7oaXPxZzzPEkhHtWKh/kjW91Ag7s3r3bjIXzRwtybW/vkN6/x3UOMl8nr9raetmydWugZXby3rlrl+Tk5stfA8bEyR81XldXt6xduy6U8vOcnJy8g+5LnecGtWW+b15egdHiBJWnO5/Nm/ukpbXVdHDd6UHuZ+fkmrjhQebp5MX/raysQvbv/y6U77t23Tqpq6sPBX8k1d7elbJs+XITD9p5p0S2CCpjxrwixx13nHFIhdYPQYV2zn3/7m++kdKycnPOnR7U/ooVvdLY2GzaX4YszznnXKPpjC5HKs8jD9q29Rs2mGGDVPKw3UPbAG+0traHhk93d4+w2srRn3M1NXWyZUs4bTNCb0tLq/T1bUnJj8L33OTotw9B3nbbbXLnnXfKxx9/bMa9mT7Gx29oaDCRxRI18PB7RiLpBJh/+umnTdQcjOhYKNvtt98uI0feJTRiJaVlga+zZs2RuWnzA8/XKesXU6ZKRmZ2KPmDySfjJ4SSN+UvLCyS2bPnyvwFi0J7BuXPzAoHn5zcPBn/6UQpLikNpfyL0jNlxszZkp9fGEr+fAPwCav+5Obly2efTZai4pJQyk+9mTJ1eij4803T5i2QtLT5UlCQHP68L3Xu9dffMBEVf/M//yMvvfyyUF+c/y3bvPwCmfjZJCksKo5Id1/Tn33anXff+0DuHDlSjjrqKBn3yXjzzP7k6b6XurlwUUYo3xdMFixcJDNmzJKikPCZPSdNZs2eGwr24DT5C9rmrFDyp+7wfUMlbwia4CMQJlaZTFFgjiGSL8dHH310QsYdiRC03zWMPdFxgLyxPKdX7ZA3nQp6yfSW9+7dF/ja2Ngk3T09gefrlLWyslrWrV8fSv6b+/okIyPLSB7O84Lc4nmvuaVVkBCCzNedFwSIoyB3WlD7eAekkaYXHFSe7nzWrF0r9fVLZMfOnaHkz7MWpWcY6cn93KD2ce9aVFQiu3d/E0r5V/T2CvU/DPzJE6mso6NTdu7clUL595oxb2K+P/HEE/LTn/5UnnzyKTMu/s3f6wvzxCEpNBRBYe7Op65+iTz44ENy7LHHSlraPPMee/buDehZe6WpqVkI3ILW0v3cIPZpG5YvXyENDU2h4dPa2iasQZTXK4+KiipZty6ctnnHjp2yZElDuOTN9CzIG0kb4iSqGOQNgTY1NZkoPYlYZvoRc7x0ggnghpVpaitWrIjwo65j3nb0dMzbjo+OedvxOdLGvL3QoJ2j3WP8G6coDNNVVFQImsAwx7xR986YMVN++9vfHhwWDNK2SMe8vb52ZNqwH/N2LDBx4g9pY4lJoBLGvUePHm1CK4blvIXeG8R90UUXmSkSuAMsLi6W9vZ201tX8o6sbNFHSt7RiEQeK3lH4hF9pOR9ABGIDgGFWS8M091www0mKhnCRHlFZSg2P0yHZeoaK1HDgl6UvOMjOuzJG6OemTNnyhVXXGGk7nPPPdf0Pm+99VbjeQ21Or3EMBak7pdeesk4JMCNobN++OGHxlmLkrcddSVvOz5K3nZ8lLxj8UGYQY1O7OwXXnhB5s5NC9zzJMZxY8eOlXPP/a1MnTotthABpCh5xwdx2JM3U8IYE8E9KpUVq0d6gx988IGZ/x0fgtSvwMIcqf6Aigo11YGVNM4peduxVfK246PkbcdHydsbH8KIItDgUvXKK68y9jZB+rpAs4i6/K677pbq6hrvQvQzVck7PoDDnrypqEzNQm3EBx9Ki5K3/WsoedvxUfK246Pk7Y8PNkAMHX7/+z+QcePGRYRN9r8rsTNEO7vppptk/vwF0tbWnthNSV6l5B0fsGFP3oy9/OEPfzBW5c8884wx1kCVPhQWJW/7V1DytuOj5G3HR8nbHx/Ij2k+t90+Qn75y19JY2Njv8e+0SiWlpYa6/KcnBzp7OxS8vb/BLJs2XKzWi7p16lhT96oqnGPmp6eLpA3RI7BBj7NcZnKH3ywJHIlb3vdVPK246PkbcdHyduOD/Vnbto841IVXxh4QUt1oQ0lxvjFF19sbIvWr18vK1euUvK2AKrkbQHn/7d3J7B2VVUfwE000RgTE40mGuchSjCCdUAoDoCgqIxaBwQURRkVhIJISwsyqYAgQ7FqSylTB1pK5wE60JZCy1hAVIYySUFQQ2I00cT95bf99vO823vPe63v8s57rp28d+89wz5r//c++7/W2sMqpzQsW/TZMWfJkiXp4osvztv0ce2ce+65Peuuy/Uv1meQdz3SQd71+AR51+MT5F2Pj6ViedOTJUvyZi76RcOM25KsFZ88eXLabrvtsjvepLXf//6hIO8aMIO8a8BpPcUKt2xhwYIFafz48TnSmE1burVUrPX5rb+DvFsR6f07yLs3Hq2/grxbEen9O8i7Nx6tv5C3pWLmA51xxhnZArecdWtX3xg/v+OOO/I68lNPPTVvauJZQd6tiPf+HeTdG48tftmkQAxtRCmqzXHHHZf23nvvtM8+++Q433ZZG8iZllsIUHMgyLsGnBTxvOvRSSnIux6hIO96fKqbtHBzc52LCy5409Yku0OKz2AnNTtZFvIP8q5HMci7Hp/cEGmDI0aMyLup+b569eq8bKuPW7t+Osi7HuKwvOvxCfKuxyfIux6fKnm70iQzsbYRcSHg+hxSNnwYRaKYXX755b3mDwV516MX5F2PTx7nHjduXFq0aFEyy9xYjIY5WJPUquIGeVfR2PJ7kPeWmFSPBHlX0djye5D3lphUj7SSt2HF888/P+28885p7dq1/eojbb0qzOf++++f99Oo5h/kXUVjy+9B3lti0uuIiWo24BfEgUun+mcHNC51G6YMRgryrkc9yLsenyDvenyCvOvxaSVvBo0tUwVL2nffffNKnLq+0TmT3OxeyThqvTbIux7/IO96fPLmA9OmTct7mtvXfNSoUXmpmID1lozZoMCEi8FIQd71qAd51+MT5F2PT5B3PT6t5O1q4ZEFLhHM6cILL8wxGDrlsnHjxtyfnnLKKW1nqQd5d0Lu38eDvOvxyWE/aYajR4/Okb122223/F14ThPXLrnkkl6RvvrIbkBPB3nXwxnkXY9PkHc9PkHe9fi0I2938EZyn9s+VeRFQ43VxEJ3TGAnBpA5RO2GIYO8q6ht+T3Ie0tMeh0REnTXXXfNGqVZlGabC0Yi4pcoO8cee2wsFeuF2Nb9ENNVbNdupCDvelSDvOvxCfKux6cTeVt9Y3jRJLQjjjgizxuqusTNGULYO+20U5o4cWJe9dDuSUHe7VD5z7Eg7/9g0fab/XtZ2xqcjQSOPPLIvNe5xmh8Z5dddsnrHNve3OWDYXnXAxzkXY9PkHc9PkHe9fh0Im93mSskhLLlX1OnTu1xn+s3BXqywdVBBx2UHnjggY4PCfLuCE0+EeRdj0+OnW35g3WMxrZNxrCk4YUXXkgrV67MjdMmBYORgrzrUQ/yrscnyLsenyDvenzqyLvcaUvpPffcM+9Z7pgx8fnz56c3vvGNadWqVbXzhYK8C4rtP4O82+PSc5S1rbGVWeXWMnIHvf/978/rvk8//fRBHfM+5JBD0uGHfzstWLgoLV+xcsD/rrl2Wpo+4/oBz7fIOvmKK9PcefO7kj9MLpvwi67kTf5lN92Urps2Pc2afUPXnkH+efMXdCX/hQsXpwkTJqabl6/oSv5zbpybrr7m2ryFZqnvgf6ET7faz6LFS9LEX/467yI20HLLT7uZcuVVaXlX8F+RZsy8Pk2fMbNr+C9esjTjs+ymmzu2nyunXpV23nmX9MVRo/K74n3hLh816ktp5vWz0vIVndvejBnXp6lXXdMx7/+2Tq6+5rp0w5wbu1K/MJk1e066+upru5K/sl83bUa69rrpXcNn8hVTuvZuaTvTp8/MwW22ZZOzl/QwdM0XGdMWy9puY93WME6ZMiWTurGd6nhOTVYDforlzRMwduzY9Pjjj+d16NaiD+Tf6jVr05133T2geVblW7r0phyAoHpsoL4/8uijSQcwUPm15vP05s3JmP3Gjfd17Rka+EMPPdyV/Ddteix3oH987rmu5P/gg79Nq1bdkp586qmu5K8+pk2fkbfRbK2bgfj92OOPp3nzFmTFfSDya81Du1m67KbUDfztMS6c5vr1G3IH2frsgfj9xBNPprnzFqTNzzzTsX4ts501a3baa69Pp6OOOiqNGTMmbb/99mn9+vVp8+bO95HvjjvuTCtXruqY939Thueefz6tWbM23Xf//emZZ58d8GfYNe7eezemW1avyUuN/xtZO927bt3tad1ttw+47OV59q0XHKb8HsjPJ598KmMjMl3XyLsd43Kfmy1pXGcwU7jN69EPt3k9PuE2r8cn3Ob1+PTHbS4HioS9z3fcccc0cuTIHJGRQdRXCrd5PULhNq/Hp9Fng7zrqyfIux6fIO96fIK86/HpL3nL5a677sp7n4sJwUvYH2sryLse/yDvenwafTbIu756grzr8QnyrscnyLsen60h7xJS+c4776zPtHI2yLsCRpuvQd5tQBkqh4K862sqyLsenyDvenyCvOvx2Rryrs+p/dkg7/a4lKNB3gWJIfgZ5F1faUHe9fgEedfjE+Rdj0+Qd2d8hJJ+7LHH091331u7HK5zDn2fCfLuG6PGXhHkXV81Qd71+AR51+MT5F2PT5B3Z3yCvDtj44wJi1YxveizzevFevHOBnnXYx3kXY9PkHc9PkHe9fgEeXfGJ8i7MzbOBHn//vfpm9/8ZjrnnHOSWLrdSPdu3JjXGXcjb3nG3ub1yNqgxZrUbqQg73pUg7zr8Qny7oxPkHdnbJwJ8g7yrm0hYXnXwpMDQtiFrlubDD399OZ019335Be1XpJtP0u5efaP3QlsE+RdXy9B3p3xCfLujI0zQd5B3rUtJMi7Fp4g73p4UpB3PUBB3p3xCfLujI0zQd5B3rUtJMi7Fp4g73p4grz7wCfIuzNAQd6dsXEmyDvIu7aFBHnXwhPkXQ9PkHcf+AR5dwYoyLszNs4EeQd517aQIO9aeIK86+EJ8u4DnyDvzgAFeXfGxplhQd4K8fe//722pP/6179yEJSnnnoqiWLmHimWitXCloK86/GJ2eb1+MSYdz0+Qd6d8Qny7oyNM0OavM3wfeihh3Jo0VtuuaVjSe0JbCP/mTNnpokTJ6Zf/vKX6YknnsjXB3l3hC2fCPKuxyfIux6fIO96fIK8O+MT5N0ZG2eGLHkj7qeffjrHthWY/sc//nHHkiLqcePGpWOOOSYtXrw4Ifo//v/SmCDvjrDlE0He9fgEedfjE+Rdj0+Qd2d8grw7Y+PMkCVv1vSVV16ZZs2alb7zne+kn//8521LiuRnz56dRo0alf70pz8lDUIoPW50Kci7LWw9B4O8e6Bo+yXIuy0sPQeDvHugaPslyLstLPlgkHdnbJwZsuSNfFXuP/7xj/TDH/6wI3nrXLnJx44dm4TSmzNnTvrtb3/bM0Ye5F3fQIK86/EJ8q7HJ8i7Hp8g7874BHl3xsaZIUve1WKNGTOmI3mboOb81772tXTGGWekiy++OH3hC19I8+bNyzNhTV47+eST09ixp6XVq9emDRvuGPC/OXNuTIsXLx3wfIusM2bOSstXrOxK/rfcsiZNvuLKruRN/nXrbk833jgvLVt2U9eeMWnylLRq1S1dyX/16jXpiilT0/r1G7qS//LlK9Os2XPS2lvXdSV/dTBp0hVp5cpVXcl/zZq16Zprp6Xbb1/flfyXLbs5zZhxfVq/fuDfW3W6aNGSNH/+wrwFcXnfBvJz7dpbMz633XZ7V/BZuHBxmj17TlfyhvncufOTOuhG/cJkyZJlac6cuem227rTfsivfgeyTqt5zZw5K63oUt+8du26NG/egjx8zJu8teklW3tDN66vI2/j3aeffnom6Icffjj94Q9/SJMmTcqE7jftxaS3e++9N4efQ+YD/bdp02Pp0UcfHfB8i5wPP/xI12QXkk/+5VkD/fnEE0+mf+OzqWvP6Co+j/8bH+UYaGzkl7HZtCk9/vgTXcnfMx55RPt5rCv5k/uhhx9O3cLn0Uc3JX/dwP7f+G/KddAt/DM+Dw1dfB555NHc93SjfuWp//GMbuTf834N0b5Z2zER20qrMgy8NfzaePI2Me2iiy7KrvNSsJUrV6YTTzwxE3Y5Fp+BQCAQCAQCgcD/CgKNJG9ayB133JG18RdeeCHNmDEjHX300dnCKJb3aaedln//85//zBPZWN533y026lM94+FDpRKVlwambOYADJVkvLh4PR588MH03HPPNV50WFvlsHnz5p524hgPDk+ONrRx48Z8TbeClfw3IJno+eyzz+b20pqPqHqbNm1K99xzT1ZsXduUxC34l7/8JWknd911V7rvvvvSn//85zz5lIxkJTv877///l7nmlAG8jMkHnjggSz/7373u1yeVtmUQx/EE9KkRH7thvwwNm9Imy9tXN2YP6QfdY3f2+LK7VaZycoLq21rP/A3H8O7C/Nnnnkmy+6c97hbESa3pXxkZF3z3pIf/tr6X//6157sYK0Mv/nNb3L7L0uhey5o86UR5C2cp0lpJSnIbrvtli699NL8EnvRjzrqqPTd7343h/783Oc+l+bPn58bH8Jw74EHHpgOOOCA7F7XQZRGWfJs8ufzzz+fjjvuuPTTn/40KyJNlrXIBt8bb7wxffvb306HHnpo+vrXv57X4FOmNNamJTKRDWmPHz8+L00sL4jjJkNqY1/84hfznAptUr00KekAdLA/+tGPcjuvyubcmjVr8jtifog6QTZNqQudqXkq5Np///3zu3rttdfm9g5/rn9LQZ2zsoTCjtybkv72t7/lfuaggw7KfY1yWAVTVbZhrYM+5ZRT0kknndQU0bMcjKDLL788zx3STx5yyCFpyZIlmVSQn7IIrfyNb3wjX3PFFVck9zQlUTZOPfXUjP1+++2XDj744LxkWL1Qxs8///z87mo/ynHrrbf2qpvBLIc2QiHVx5uvRX5ctn79+h6xKHzKcNhhh6Ujjzwy11XPyQ5fGkHeGjzhS/ISrFq1Kh8r2p+GZI33ddddlzUrgCCQm266Ke2+++75paHJHH/88XlSG6twqKSf/exnudMy9k/7anpSPzrjPfbYI3fI6mjDhg1p3333zeSiM25aIhNrSMflD1HoECTEd8MNN2TNXWeAyL1o11xzTaOKYbjoiCOOSHvvvXfaZ599esm2evXq9P3vfz93wk0h7KqAlCbKnk6MfLfddlvuyJYuXZo9bCajencRCeuPUkhBb0rSt1xyySW5TzKL+uqrr85ExwIsSZ+kAx45cmRWUsrxJnzy7C1cuLCnn/R9hx126LFYeTavv/76rOBSELfffvts3TZBdjKQiczqQb9vKBUB8hLgD/Whz1cHFG8rmBxvQtKmWdveUfKT8+yzz05f/vKXe5Rr7V3bUU/9TY0gbx1rIekiuAI7VjoiFaaT5T5xveNAUGlmmzvmGp2BitNJND3pBHRiNC3DACzvoUTee+65Z8ZbXXAH0SpZUK112YR60Da42Wzwc9VVV2UtvpA3+ZG2F993dcDymDBhQhNE75GB8qGzIn8reSM+bcj70cTk/fROw1jyLhcLG1lTSihN6sl7oTM799xz8+8mlIdcFNbSJ7GaYH777bf3iGfPirPOOitvKMUyb1Iq+Jd+ErG99a1vzVYrzyYiRI7KZ/jugx/8YB4Sa0oZyK3NeD8liiCZtR3nyhCA84w83g/vShMSmbR77V87Iu+vf/3r3F8qE676yle+kocDnOtvagR591fY1uu4S2jDVZe7ylRx69ata728Ub+9JEjiW9/6VnbxqMwLLrhgSJA3IMmP3A4//PCsMf7gBz/I2rAGWl6wRgGeUn5xvCxz587NRFfIu1VOWjLLe9myZa2nBvV3IT9egip5O06B5Vb8yU9+kpXXX/ziF3ncsol1QSYufu5NJHjzzTdnK4SbvMhrhcl5553XQ/aDCnzLw7V9CpRhFuPIOmRtCZlQDm3h3DTyrhaBErto0aLsgTI0xKt52WWX5fr41a9+lZUS3sAmDVuQn7HGHW74hcFThl2qZVMXrFp9admFs3p+sL6TS3/PQzlt2rTcv5CfJc6bzF3O8uZ9Jbux+77SkCZvY5Y6KyCUZLyb5c2d3uTkpbernIrSKFXgUCJvjZHMX/3qV3PHy+pG5sV6bTL23LGs1HbkbfiGSw55cPU2MbWSt04Wkfhj/akXnRu3v4lHTUraB9cgoiMn8lAfxiqrXgMdmfeBYtK0ROEwpq0TVh7kp71wO5uDY+fIppI3D5PJwDwdLG3KrGP6UPM9GBOf+cxnchmaRt6wpVQwFIwba+vVeSmUKla3HTu5qNVNU5L+0mQ0xqb3lNFDfn1/2bvEp3dbu+fV4QGpS0OavNtZ3qwmLxbNvqlJh7RixYr0yU9+MncAFA2TqHS4vjftpWnFUUPkwtUAdVRr167NbiBEDv8mvTStsvvdibwpVFOnTs1uT8MATU3tyNuYJe8N7GnziFsHsDVjaN0uL3c4hZtlZIybosTSXr58eXYbavfF8rajIsXcPU1KXJy8HIZVtBcKh4lf5n8gQGVhPBhS4v1DKE1J+h3tGrYmr8EW3kiF18b+GRQTnoMvfelLjZu/AmurW7j5eZbMWykWKgXEEOSxxx6blRJbaTcpwRlRG65gfRsipWSYdY60fTeu7zp9qAl5fRmgQ5q8aby09zLmracp6EYAABEaSURBVOA0L+StgpuayI0kdt111zzuwWodMWJEHmeiEWugTU5eerNTvShlwo5GqB6435BHk1MreVNGivfjhBNOyC9Pk+VvJW/1YQZ6mXCkI+MWNYGtKeRNqUDcOi0Ys5i8r1JZTaJTUxdIhmJozLsp5GcsEpYIwzyb4pXRbliDrFXeA+/yhz70ofSOd7wjW7HKUso5mG1KG+FpQtLIuerloHTwdJQJXtzqyMNwhrY02Al+2kF1PFi/Y16EsW9l0YZ4DfxWJ01K5Nf+SzvQxs3NgrF5HqJl4ix9qHPG6rV/wwN1aUiTt4IaY/r85z+fZ6DTtnQMF154YS93Sh0ATTk3ffr03AkMhQlrXiLWtuVhrAtkba6BMUyuxCa88HX1umDBgmxdF8WDvJMnT85LZFgeyuOvqeWwvz+iqCZWqrZv1ynuNm7pM888s4dkqtcOxndkh7h5lxC3yV8w1qnxoHlnuUNZ39bZa0uUlCYknS6XLWvU0FBZo4s0yN+ajIdbctWkRHGCPZyNBZc27l0uk3xNvlMvruU58BvpD3ZC3NoPucjnjwKFrPVDrG9L33hDtC1l61Q3g1EWGOprSrv3acjUJDXeG32+OSwMTxxGAfF+W69el4Y0eSuYwnLdWj7z6U9/OlsbNBfEPpSSyVFcnU1z93TCUKdl/MaaYp2aT2Fdm2JpdJLbcS88t1uxShHGXnvtlT7+8Y9n96d25I9m38RkGeXo0aN7iYYAkaP34LOf/WzuqHV4TXkPDGNZIw1jWBeMrefWZgzD8OSQXRl4ppoyfGRcWJsxzGX/CcRGfm2eF6c1GUs2LNCkRGE1pq0MBX/eAtY18jDp19IlhOI6rtzqMMZgloWCwQpFcGSGPavV0CMiZLlqV+qmlA2ZU0qakHhaKRbatj1KtG/KNTe/99OfoRdlUj6fFPS+3t0hT960MuBw+VimRJPxsg21xFXlr+oaanoZvNxl/2hasRdpKCQ4azNIQ4I5a0r7KX/aU18TRgarrCyLVg+NMsCf3P6QeZPaEmvJGHfBt3yaUMeyZZ1QNsiuLrg+m+Iy14my5MhW5PapzbebEKh9sdSblODpXa3KrzzqRTvxLisP7ClSfjcFf+3D+1p9R5VFnZBd2arl8t159zQhwVE7Ke3Hp7Ze9eyph1I/PrWhvtKQJ+++ChjnA4FAIBAIBAKB4YZAkPdwq9EoTyAQCAQCgcCwRyDIe9hXcRQwEAgEAoFAYLghEOQ93Go0yhMIBAKBQCAw7BEI8h72VRwFDAQCgUAgEBhuCAR5D7cajfIEAoFAIBAIDHsEgryHfRVHAQOBQCAQCASGGwJB3sOtRqM8g4aA9ZzWjr/Y66s917pQf+12/Bo0QOLBgUAg0DUEgry7Bm1k/L+GgI1TbG0owMCLscGFzStsSGR3PoEm7ErW7RjGymjzmrLBzXCq47JZjM1ARN6yVa4NNWyKU0021LB1pfO2crUrYutuWH5TptSHzTjk3SnZvEZ+/dmYo1Mecfx/D4Eg7/+9Oo8SDwACrGs7IVUtXUEGbC0paMuLQW4UBORhy0vbQZ511lk5qpWdp+zw1Q0FQrxnAUNad3gbAEgHPQuKkDoUFczWp7YKFdfd1q6lntWreAq2t3Te/v6iuVV3JHOtHbRs/WorTDt+daoL951zzjl5a9h2IWoHHZQQoLEIBHk3tmpCsL4QQKAsHJ+219RpFgunHCvXtOalM3WPv9aOVZ6OyUuerqnm47itSIVAZTW5xj1V8kagRSbnqsnvkm+5t3q++t2zSllaZWXRCTSBuEVVIrMtIe23bZ95FmEphzxby+N3Sb6Xaz2vk1yChwi6gZBKqpbHvdV8nSt/pRzybr3Gs6vJ+XJfOe5YNY/qPdXrHS911voseZV8fFYThURoRlHCELaY0Mj7E5/4RLbAXS98pv2pTznllHTrrbfmmMwf/vCHc1yCsh2nbUYpUqKLvfKVr8xR6sjdmsgpwIb8/NnrOlIg0F8Egrz7i1Rc1ygEdHw6TxGSRD8SGtbm/mVPbJ2vCGdi4trvvpqQgrjMQmi6RvzcakcuYIlOmruUS1rgG/mU/aodFwHoVa96VRJByjVcrYW85cs6E2pRgIHW6ED2HReyU8ctYESVCKty+o6gBcUQtEYAhgcffDATGDJAEoJ5CMYg8IHIbly5BxxwQLYcPZtMxR2LXGDEvS4aXCEbePhOAVC2lStX5kAQytSa2pE3OZSDjHCqBteBPdczLwVMlBl2XM8Fc3iQmxwlOS8Sk/tKIqOgLAVXwxMlUZb89jwhddUB8lU3rfuPs54F5IBLkUE+ni8f5+HrTzsaNWpULpvzhicErBHJynlK3KWXXpqDrtgT3DWioQnHqt5e85rX5Bjarq0m17G099133xxN7aijjgryrgIU3/tEIMi7T4jigqYhoMPVuX/0ox/N5KUzRWJiKYtwxu0pLjqrSSQf4SVLkBGkz7JCcO7TabJ6hNTkwpSEBxVmVh7CKOqIRTIaM2ZMJiLkfthhh6WXvexludP+3ve+l0kCUYo4xVXKGj7xxBOzTNyrOnJWIPLVYZfz8jn66KPbQowYzjvvvBztSVlE5RJZiVte+UWCItcuu+ySZeXSRq4sQVafmMDup+Dcc889OR/eAuUho3OIl5XqvPydI5u4z61KByGr5K0eEKr7YHz88cfnUIbqgBLlPDJHfqz1co1n+43spFmzZmVMqgGFKDRjx47NRO0a9aau3Advz4AjxQ0RqhN4s4hFx4IpZYLVTFGCl4SwKRpwozT0lZA8zN3jOdqYcI4wlWBn6OI973lPVggdgwkrnkyvfe1rtyBvuJBDSEvR7SZNmpQt/rC8+6qNOF9FIMi7ikZ8HxIIFNJ4wxve0NPpsWKMMb7rXe9KxxxzTO7UWWIs0gMPPDCHD9T5sv7EytVpsq6RKUvpAx/4QLZ8WLoXXXRR2mGHHTLJuwaJsRiNZ7sWEbAAX/7yl+cxZpYeaxN5C+mH/HTEjrPcuGJ11Kxaltt+++2XyV6+rF1WXLtEFh4CBCWvEjOd0kERQH5CTyIU4RFZqSZaIVPkJd8SqQtRI24yeu7cuXMzLlOmTMmT3sj5+te/PpMzjwbiKRZ7VbZW8mZRsnDJCW84IWcWPsJl/X/qU59Kp59+ei6ra5YvX57JznPUCc8GRUx5S4K7cWX1JLkOppQMeQi7icAnTpyYLWBlooSpW8MGrjGkQZGDBfwkxygZ8i6elHyizT8WO6tafSF67W7nnXfOSgELXXKM0ve6171uC+8BhbEdecvXODnFkJJCeaFoBXm3qYQ41BGBIO+O0MSJpiJQJW+deLHYEAiLU4fL8pO4Y00qYq0iGjHIkRtrqSSdLwI0TsntirzFBuZaLgk5yOf888/PHTZye8UrXtHL5Y0YWYMs+0JELLMLLrggxxsmJzJjyV122WXZXV91MZdnlU+EhfARj7yRJAL2J3HvirtMMUBWEksaMbFaCwbKyvpHvJQOfwjORDfHyOXYS1/60kyOZO6UquRdrqEgmFVNyTCMwI2PVCkYykvpQdglOf7Od74zW+UIvj/kXUhSOSko06dPz+TNY6Je1c8ee+yRvSNF6YAfBYH3RTvxGxa77rprfnapoyJX9RM5WzkAW0Myni/xang27EtSR9zjRRkpx9uRt2eSnzeCN6Y8J8i7oBaf/UUgyLu/SMV1jUGgkPeb3vSmXtYKa03HzF1a3KQ6Sq5p1o1Ofvz48dldXp3Z61qWIdIzzou8udWr463cpDpyM609vxN5s/KNKReFAmgI9mMf+1gmDx19sYJZ0DwDVVkKyJ7hmYgCERdrccSIEVtN3hs2bMjWI4WEtVf+WMjKilAoBq9+9auzZVpkaPdZJW8ExnNg0hx3O9c+xYKrmnJSyJurG7GXpB7e/e53ZwL1vR15U8R4UFjermH58hJwi5chhN133z1PzHMeeVOcJkyYUB6TP8moLpUTmfI4IGB1Xgi51w0p5bpDrNz8lL0ynOI69ci7oB4leVDAiuVdzbMdeZMT/ureXAt1r4zaDUWnuONbZYrfgUArAkHerYjE78YjoIM0rvjmN795q8mbpaZT5i4vSV5I6YQTTsiWq46eZVR1q/aXvNstFSvkXZ7n0yQuY52sQm5Z1m6140c6rGMkx/LjLqZY6Pi31vJmtVv6xCOBPKp/xtUpGsjqbW97W5/jwFXyNq7L2qXULF26NFv/xogRUZW8KU8UiJLakfdOO+2UCbFgQOni6UBsPAjqhKfABEMKg0l1rFWz6gt5c6Mj+NbEGwA3E/4Q/9lnn53vab3Os+FeJv2ZUwCfajr00EOzJ6UslXM9Wd/73vf2jHmX69uRN5x23HHHXOc8QOqFwrnddttll79hmYJBySc+A4F2CAR5t0MljjUaAZ3btpI3S5eLvOoSR8zve9/7MpmysvpD3tzT7dzm/SXvArCxYZ238WwkVJL8WZlc7KUz5w42iW5ryZsVi2ARb7uEgLaFvCkTBQMuacnkMOPXW0PeyPUjH/lItoxLWbnZKQHIm9VtLJsHopAm97e5Bf0hb652k90QLyu8THJrxYICpR6Ma1MCqhZ3uZaXgPKHsCXXGCZRJ2UCXrm2HXkry7x587KVzdL2Z3KgiY4mwrXzwpT84jMQqCIQ5F1FI74PCQS2lbzdp7NlVevIkQZLDrFxKSMjY7B9kTeQjPO+5S1vyYTIokMQLNw68uaeNvaOkHTaXPlc9SNHjuxldcrfWCiL26S8sjTK5CsWHtKSkG7rmLcx+9NOOy1PuHO/SVBkZdEh1XHjxmWL3rNNnjNRbVvJGzmxIikU3PvKhRyR39aQt7FiE/2QIre2ein5yJNbWpnUEeVLuUxCY4n3h7yRMuJ/+9vfnl3rnca6ka85E9z+cELKCJUrHuFSUAylIGqWvAmSzlH8fC9j7blyUsrKSOuENe3L86t/2o+hBUMXhhoiBQL9QSDIuz8oxTWNQgAJc/VycyPckpAUlyirGiFJLFiTp4wvSu41ucox47SWmJmExuIq49TWBnMxl3FN9xkj5ea2ZEjS+SJAblgEbMKXZyHTsgY4X5hSHtsll46Z+/vMM8/M9xjHRj4IlFzVhCjMjEYgZLQMCqkZzzemLrHUuaktEStjpcrNLc7KZm0iF65ff65l5RlLVnbnzHaWj0lxJ510UvZoVOVo/X7yySfnOQTc/jBgIbtPnsqIfI0Tm/2OqOAKa3MESlI2XgVDF77zorD81SeZETWyZOXCFW7q2cx65ykxlC7PZunLwxCHOpNPu2TymYl0sGrFulwPQ+VQL56B8P15rnFuzyGL+tVm1Pvo0aOzckXBUN5qUi7XIHz3dkowMvu81XLvdH0cDwQgEOQd7WBIIqAzRJYIpCTEhcARbeksnWdtV60i53T2NgFBIGUZUMnHGKvz1c4YwSHAsuEHAmAdIz15OIf8fSL9KkHIj1yOuUYnTYFwH+u10+xuz0QKruVOVQ7PL7PI5ee749U83Icw3Cf/opT4RILGjD2bTI4VueDp3tYELxY9Aj744IPzOmvPdJ/nInKTBT2zyEcu5+Hu2mo9Oe5a+PkuVWWTH+Jzb7WslJmydE+e6rvIgVTVWbWeSznIT6HgbTGE0CnJz7Nb/9QXd32RVZlhB0OKUqfJb7B0r3zLve2e7f5WjNpdF8cCgSoCQd5VNOJ7IBAIbIEA8kF+LGtjz1zXVcVmixsacgBpI2LuaMRtRQGFIVIgMBwQCPIeDrUYZQgEuogAq5l7n6vbBDsW7lBILF9ubZP+bJTTaTOcoVCWkDEQaEUgyLsVkfgdCAQCwwIB3gHL7SzPKrPUh0XBohCBQIx5RxsIBAKBQCAQCASGHgL/B+mCcTeb+f3TAAAAAElFTkSuQmCC[/img][br][br]How many months after January 2014 was the price of gas the greatest?
Did the average price of gas ever get below $2?
Describe what happened to the average price of gas in 2014.
What is the volume of each sphere?
Sphere A: radius of 4 cm
Sphere B: diameter of 6 cm
Sphere C: radius of 8 cm
Sphere D: radius of 6 cm
While conducting an inventory in their bicycle shop, the owner noticed the number of bicycles is 2 fewer than 10 times the number of tricycles. They also know there are 410 wheels on all the bicycles and tricycles in the store. Write and solve a system of equations to find the number of bicycles in the store.
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Information: IM 8.5.20 Practice: The Volume of a Sphere