Vector Components
Dist/Disp Easy
Dist/Disp Hard
Misc
100


x=7Cos15=6.8 m/s

y= 7sin15=1.8 m/s

100

A car travels along a straight road 100 m east then 50 m west. Find distance and displacement of the car.

Distance= 150m

displacement= 50m east

100

Find distance traveled

Find displacement

Distance= 28m

Displacement= 8m up

100


Paths 1 and 3

200


x= 15Cos57=8.2ft

y= 15Sin57= 12.6ft

200

Anthony walks to the pizza place for lunch.  He walk 1 km east, then 1 km south and then 1 km west.  What distance did he cover?  What was his displacement?

Distance= 3km

Displacement= 1km south

200

Car’s speedometer reads 10,500 km at the start of a trip and 10,700 km at the end. Determine distance and displacement.

Distance= 200km

Displacement= 0km

200

Some hikers travel 2 km north, turn toward the west and travel 4km, turn toward the south and travel 6 km, then finally travel east for 4 km. What is their distance? What is their displacement?

Distance= 16km

Displacement= 4km south

300

What are the horizontal and vertical components of a 55 m/s vector at 215º?

x=55cos215= -45.1 m/s

y=55sin215=-31.5 m/s

300

What is the distance and the displacement?

Distance=7meters

Displacement= 5 meters

300

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cfuv87tn3akEfy47/Grph/tizPsVaVorKEM5HJhMBPvcHbngGK42LDj6NV8XNrcqLnHibYyVm0+lE+EIciO4ZrPa9OwcP5I2KDvl7wtjg/56PwsNhHlhq7NQbPPM5cpXNItuFhbStYYuZiPM/O599dexZ6DzT9fzoy0+xzgAXoNnc80oes5MVz6lSBXi/pR66NfeUEgTc5VDvGV0yOkPet7KnRlLH35zcmHrxItL5qf1QYrdflWB5e32CfEjsrqP+r6VqzGge9L8qv3J9tJahix6Dv6WRXhYePah7svvEbWP9zNQFczek/YLELNiDrKXg3divpgXIF9lp7QWY7y47j+p55F71wb8Kgwlql3OKpx0XwDZBw6cwdTUiLZ196gqLzcnstvk1knvyNMynHY+ltim7ERO9nWy66onIM/P9scIVr3k0Jn0N7Ogk3atqGDga4/Dj5jGBZdeubkcM8XzQgoOXbH263/h34fVNQWwFpDpjOXZNT5dWziVMwa5xzCn/bfesXSKFjU+gCsM+xn0SqtTbzO2YOrFoNpxi4TZzFWRFHLyINfsHrFgrGw5Feb7zM/N47f1XMtVseSTabsYJoqh3+MbljsOThk6TEmnFnP6gCHLjkt0izp5l4OrSvIfz1caRV+tWKfaIVXP9nDthVk9G/ckTXK6987NebC66/auV6c+ZNVAHaZqht/EXjubY5wBRW1+vGSIPbfct3d0o0yYwUHrn9QqpSK4evGs1wBfgArBDTh4dsJYrn0B7s4qlVR/2sOXEZhmhz8NoRmdpXZpEk1/dw1YO3vNzNBlHelmmAGF/VR0jCoG8ME90BuNDd+05GW8gJaO7L3rOM6GfvyGr/uWyT7gps3patBJX664i9Y70ujUey3EPj7Qa9jv7f7H1TU8rn3mw60texIkUyXZtDZBuy6/DXmS00SFw71IeDB71cfZWjoeo77ZhWTUuM5Va8chXyxhKGhkUzMiuei4YJCV5M/rz/B0NB9/LiuPYGKnHEji9GrmxHGlhy/5BDPH9nO2UN2Mp0arhhgTkUFPy7af5JHti7mL8vOkaocvnzxnAkJCUxIeM5slYb3FowTmSdo8jKGhoZy8ffteeB+HPdOak/AkBOWHBSfTxtckYAZvxDtty/5RfvyRMhnjBYVkET+Ws2eFb2a8p6aTDg+U1z8EdiDm46f5NbJfWgOBUdui2J+aizXT/InbOzYf95uht18Qo02np919aMgDBt/t4qnztxmwpMrHB4EmnWYRsFanXxyOl3NJOyz4kZJnok/SncrI7p1/45HT4Vzw6yePByjJR9up53Ska36z+XsUU1obOvHeacfi3WPzutHIJirwzVk5ml2ryolWozjps2buXnF9/SRWLLr1+ep4QN+4SgsQJU45tftPHflBtNLrccRa0aJgqVSy1E8diKU3w6oK/62chvJXaHH+EMdZ0JRnnNu5zLjwnRaK8Da/WaJNN0x9SPaAfQct4PMv8Pu/vZUeoxgtIZU311JO1iy89dHBXHLseVkrFC7K1cJOK6aRn9HY/pPD2N2zHoGlAODh87hkXNnOa/3Qp67n1GMRmo+v3+V33QoT+NKPvx1SyhjU7IYve4HugI0dRnMTaGhvPc0hWGrBtMQhuz77QYRv6VDm4t9aT/7gghv3RidotRixCKeCN3OAXV0wsNl+ByGHlvPei4GVJZvwQhxhS9CoUBRa/b5UlExXv+FIFxc+M3ywwwVaNRAEG6m/P7oM2qTz7K5KWgdMoC7QkO5e97PnLvsEFPSknlg2VSu2baZmzdv5OQugtLlxy23sxj34Ah7uNrTwbU7150M5cMXmUy9vpoh1mDbWWcEacd1wxsQsOCklcJ8O8Fve9sSsOP0o0+pfnaIbYRFRxHEX7edZOj6b+gIKasP2MZXvUhqHvyhM20t2lHkxGuz6WYLdvhTt0AX9VrQUNMYueNTejmCjoN+Zej563yRl8M9P3pRhsqcOHc/Q0OP88fOvuJcG7o7qkR16hU1r5Yfie6iiJW9qYQR+32/URyfP4c0Fcen47wrJGM5zkdG2NXmnwdDeXLTQv4ydQUf52fw8Ox53CLwzebN/HZoPQL+XH4+lanPbvHzZr40VYRw9s5Q3op5TtXLS+znAfqM+JMCq19cMJJygL1+1rc5Safs9pp1nmrGcGI9gQfKc5zQl8NLWLeClCY1pjO++F5B6FVeNL9pYUqFmS2rVqvGau52lAc25/xTrypayY8v8+sOhoRbA/66/RSvPkpm8o15DJCClWr/wOOhoTy07BtxMTbrNJUxpQdJr6j5fLKLZAJ/alyZMPbmnJ2hDA3dzmENJYSyOrc+TGf8nhl0AOgxZo5I05VTWnPt5QTy+QUuXrWCqzcJdFvHUY2sqHSrw9AXuXywdxZrCm7CAZN59NwlPs8mnx/6mjB35KjNUaQ6ip87mRNVWnHJ4VCGHl3NNu5ywiKAoQlk7uX5tJeD8iqNufLwSe6ZM5Y2kHPwvNBSClQKF3atSQOpDbfce7vvO+VZJL/tGERj+HP65uO88eAp1fEXOczeiAjqyY0nQxm6bxHr2YOo2Ijnn5ccoEJFbfhv4kZ/71RBsXLkxPn7RLr80lpYr6QcLyiMWVfZ2QY0qdaFm0NDuX/Jb5wzfwefZTznnhm/c6vIa+s4qpMPIW3OI7EqJjw6w0HVnGjr0JYrjoYyKiGVz48vZgDA4asvk6qnnNSuHKFsyMX7hHHayqFOCsIskFuFRSb5JLuJhgcf/rDuBEO3TaOrIejeaTWLSzuB1QoUtU5T1rFIF8riso8MifItuD1KUGHffN3d3o82hhJaVnBnNYFX63Xg3Ahh95/Dq0eX89dVO8S5tGLGCDrJwHazBHd3Dpf1F+axNScLa/rxHfz542m8qyaP/lhPdKUGd5sqrhFT+lYlDBpwc2RpzIV5cpsjy8no3e5TcSNx4ZcOlJevxslLBT5czEbexoTjRCYwi9vHN9atyaJM28xetiCM63LZ5f+gib656699839LUcu+y4+bWBPBQ7h+zx7u2TiVTtYWdG82g6XJpk2L4PBg0KL7r6ISoqOOllrNC07uXYNQDGB4AS8lX2TviqDv4N8LLRVxuz6i1NiQ/ddF8+n57+ltBsK7PeftOsnwewJDqXhidldaA3RrO4Y7TpxmZLKafLCT5S0KNHMDrjp/nxvGt6IBmvHAi4IxUlOTc5cD6lek3Gsyn+kfZ4Yvpa+wS/l5D8l0Tu5Ygaj9uV5RS+JMPwdW8m6mV9R+pGD1+3jJfV3t+0vE3VeVH3XWorurmxIVnPjjVVHLI/mUY9r7EqajeLMADaq49dt2lCKEex8kcNdXbagwrs99j4qmnlg0KZIDmgsWRWv2n7SGp05fY6aw/76/g852ljQy1O1++/wpLGa669C8/gRCuP5GPjMjl7K2QBOJjEqlkkr9zqVah8VM42N+Yg76tv+YheQpAKL/GyFY58y9+MtpXfDDg6WfsTLAnw7r4sBuLW5ElKvIby+m8dpv1QlHLy69ra+cf5s9gx0osZ9MofTh0SGUK+z4R2Quo1a3oMzRgXOu51HzaDsDBbwkoELAUSERF2jj7ouZ9CyUo+uaiEK116xtPHohmtmvkenbxnvQvGo9ntYHoNxf+RXdAH65q8D6kcsFfRWUBvRgWIGi9WQvq1qZ0qPpSlHgrRpcnmbejXhKb2ha+nkjAm14SB/ytrSJJ+3LV+OpUlbHAkWtxZermJ+fwPG1QbOO0wpjVdJPz6Ac1uz9bTifR/5OoAJHLiqm+GhU1GQl8fzcj1mjgrE4TjKphJAZca7YoURODnCha8CXIh0F6qZELGeIDdj+j4uiRbVrkCNNqv8k7nCF90mhv9MT4MBFp5j1+DhbOoL1JwsLu3DdYn8HO3rX/6mQ//UvyNwoftbChggayLV79nDv5ul0trGgSyPdhqKwXMFNzBrWdgPdpuusBtQ84sRqYIWW41igomRfmEZHKwlDCqypBXULFLVWI/lCq+Gy/jLKqvfi+YJAvNjd9LQwpXfbzcxM3E8XMxvWGbG7oDapUVGbn8aLy6awoZWJSDepTOAdN07dqYvjXT+oAa0MOvKC3pijfXGWfT1A39HLSW0+fxnoT1j349UCY8+zA2wCsN7wWUzPieeEQNClewFd0zm9uS9tbfoyXJiExa+8aH7d3IRK64qsWa8+6zesTw9HR7r5jOTBhNKmRHLTOFOiek+e1sO5Mr8PbQwknBFa0PmXnNbFgvDsz3N6i2Jhc3pFzXfSAWpTTtG3nBV9eqwtfH1z6XjaA5xxJJIHp/WlIWpy/f2CSaOhWqOhOuM+d8z+iPbmhjq6CVYUl/pcJjgmkk6yLcBO07YWwozb/zUlFuU5dns0NXFb6AEzdvrySOH7k5Pb0lxqwFmX1VSHz6GplQ27Lrike//8GNtWBGt9vl60ghVWYgoX9QwWFbVNwor/1kvDXRNa0xxNeUI/P1+em8sKsOCg2UUxlLuHh9DI0I6Lr5bUbgsUtXqj5jBbnc5vmoJGzScxVt+m6soCmsOCrcaGMvnBMhrAnn1+0eMvlNGoqMp8ySM/j2WAhZFIM4kwR1GTy8OF8c3g9EberOg6mgUS5/nR+aKiNnpDJFXPDrFRZdBjUhH/RiwfqOfVl+KGupMTWGPcGr0y+4ijPCrQ1f8LlrY1vl5Ry+SSoYZExZbc8aBgcX09Qe9u70trQwntPKqzfv36rN+uH5deFwSnmnG3VrNXEw8aKpVUyGWiQcLjh/2CWZ5dgyrQrMZPxdZ0tWhB3TkpgGaVvblFb6C7s2Y8reDEGYdfjaXPvr6CFlJ7dvvurGix7mkpFWU95EoqlQZ0cK3JQUvOMj/hNFt7GtJ1yLJCZXRdF1NKfdvw4Cu7pNf3812ffqAYtSJPq4FCcNxKoTB4g/O3qOgHv0u5dR4XwpOBjBXo22FFIXzjeztw4PZo9PbWx30Jdt2cdKQ8B5TeRoVxZkKEgBBTpbuUUAjH/xgAqrQkpMUBxmaKwi8XFUZGYllVdjrKh0zBzt0u2LV3A77s1BiW7T7FhS0z0fiTFdhj2hw7jy5AlyYL0OjrA9j7pR++nzYLqVlqQGaIWhUNsCElCXkoD8vC0ZBBmpeOzKxUyE3MC+PaZApT8V6r/0BZq9WKcSKGYhyLErLiASFiJ2QwFPUJID9fDcE3VxA0kpWdCyHwTaMSPmMvDIQBJErIhX6LuMjRpHFDeP3xOX5ZsBa+d0/Bts2PCKlcLEBMaMfaF8vW7ELdbfuwfM5INJzpjNlXz+ETKwlysixQo2F3mCduw8GVC3Cj53L4WehiMUR6K9TIiklGchrg120MhjVwF4IxIJNJ4OjeAIaqHAinq8iUkrd8li0GDUIG3TEf+SqtOE5ype53nlQLKGRQyHKQlJADmdwAhgXsKVdCoZQCKhWEj9PrDW4D6Z+/48Luo1DEpKOyeUt09VEiO/wZItQyVGsyBIM7VYNcIoFMKoOxewgsHf3x29oDqLHzAJb90Q3Np/tjx+lT6OxVPE5NLR4fQa0GWRmA7pMu3REpSoOCD86TkZyggtLIAMoCEhsYQC6VQqMWZIXOISGRyaEjRi5UWmGglNB1NRdSrYCXAoVsrKtV+L9EQuTlpCPtJWDgZlgYlyI3MRK4X4SbnvQUwgtDw2KxR1I5nl9eiy7jf0eljp9gZlMXxIduw5+7wqASkdGdC0eFBoUHI+inknBsD7KSkZ2TDrm1WeEXVAI/C9hrxX2LrrDcUBdPIsnNh1QiEU6qeOVKv3sB5y8kAemr0b/D6sL3RlE7sDdyDAZUK053IDcrC8JHjlTrz/PKTUZKJGDoqijERW5oCJlMCon+C7NCoPobId5Ko9EgKV4DRfHxEetJAI0UmSkJyFXniWflFdaXypF5bT26D5sKo/qjMLO7BxKv7sWclXegFummRlauCoQGaiHwTx+nINQXYuOozUJm+gvA0BwGBTExclMxljAXGnHnIJSVKeV67s8R5a9AN/3UL0RFuMnLzIJDkwK1mGAAACAASURBVM8RuvV7MTbw5sLu8B+zGLO3DUGrMTWLlRXOPlQBWq0OLxMg9V4mNHlymJgXCCoZDI0FXqTOEVWsdsGtMPaatBfIVeXCzKQoAlCpNBXnqCw/FzEZqciFMSwVBbJXCpkUuLXuF4yYuBzVRv6ITt6WuH94KubfyoNGaC8zW4yTlBaMqdCgWF03pzQpyYiCDDWVRVGXRkZKSKUSEV0RP+HIDaEhAKpcFaTibbFAPfGNIewMDZGnTcOJ69Ho6Vk8rk4sUOy/XGTm5EOQz6JYBZCRmoSnUMBcWSRjjYwMRDzedEqFIMbz8zKQ+gJQuhsV8qhMWHOEbmokyEh+ijyZFgZGRf2DVI5nZ/5Aj6+WwqfLp5jZyAExJ9dj0c5skVOAbOTkaaClBqVPtpPINMhJT0d2GmBsXgRTYSoE9hIUg6R1XZUZyMQ5rmQepHj9HC0gikyhLMQfmQ9w/nAuDCo6oLJdMdlSULj4X00eUqVyDJq6G8t7FIu3zLqN3zoMxC55Q3w1cxws065j4fzlyFRLgcxkZGWnQG5rXtQmZCKfCbSWSHX3QjN5av3xVAUsV6zthOgzSLMhHOp4IP/aamzON0fjYePR1d8WWioR0Kgn6lezxLO9PyP6QS5qfxWsay8pFIv35aFKi2BUs3kN4GJtvO9taa583/qF5XPTkvA4NhaPnwvB4Hl48eQB4uJToNKvL4UF/7EbNS7s2oBweSB+2X4G4eHh4r8dv/VF9pNI7Nx5Xi/IdAhIrdxQvYYzXm5ah82hDxAbew6/DF2BB89yoBBOJIUW+q+KIbf3RI3mMlxatgdbwx4iNvYmls/ZCU1mOTSvVRkRayfgsqwOhn/2Gya2L4eESydxOzkB+yf8CVXj3pj40zR0tQCi9m9Hookrho+ZiEmTJmHSp+NRtWIlNPOoAin2YtqGo4iNjcXuP0dg/T0F2vi6I/fyPCw/ckd8vmnjFETAAYFegYJogVww5kacx+krsYg88AsW3YpHrtK4UJkUJphGUOaEqSZwqsCsemVOYWAKJGXgyfWrePIyXRT4OtYq6rdQz7pBV/Rs4ImwP3/G+tNG6NmmMUrzYNat7Ri/5xE6DR6DOV8Pg0J6GycuPhWVI3VuHux9B+Gn7zog78IKTPppvygkdIuOFuocJawDvFHZEXjyuDxaDx6CIYMHoIpVPm5LjKCUaXXrgJZvUdTEHkJUXPV9FdhOqx9ACiTQakGawKdRC2ifXMemP7eKNI1YvQKnzj5D5f41IXzWYOzfEwPLa3Fl1Vf4+Wg8KvQagEoywMjZD50NNYiFKRr1EnAcjEDLOEgNFXh2YSXWhj5Ch2Ef48dPu8Eq8TpO3Hgu0v1d/ivAE7BF9YZNkHv+ADauPyfid3TOUtxMSkeVXgGiUiMe20QK3REv3ek6BWMm0OjtE05QNoxNnBBQ0wWJG9dh87F7iI19gA0/LoUKBqjSyhWVXOsiiE+xa8tyXIuNReT+mVi6aiUep6sQDxvUbjUYQwZ3g51xBtK01G90lFAaZCEl7SKu34pFana+8MWNiKNWnQeYuqGpmz3SzszFypPCfHuIjZt+xC04I8jLB4bKXN04a/Q9KDzfr7TA0+DSzvW4KA3A1C2nC+f57tkDkPv0FnZuC3t1EVIIhy5LkHXnJqLiniNb4YLaA6wRvfcY1u2+LeKyZu4WxCUq0bSu92uHTFCwFTI5ajRqhNxzB7Bh/XlxfA7PXoLbyRlw7+oNm0pBaGyTiXO7F+LQnVjEXtqMRXOnI/JZLl4ojFG9Ux8MGdwfzmbRyAQhE7smgdKAyM67gsir0XiZmgVKZOKCTI0KlJqhTrXqwLPlWLJF1+bB9T9gP2Tw8WoKE2W2eAYatQXbN+GsOIEHStNN1y2pTIr81HhcfRCL2NjHiL4rBOrL4GhfOvBZAqnSFHgaj7vX7yMhNReeHYSPTVRYNn0jomNjcffIJqxdnwS3GgFwtnh9e8LYyxwD0MJBi6t7/8D2a0K7V7BixxzES+rDx78qGvn4wBynMG3DTpGmx5aPxNLwu8hKyBYVgpa9hmPIkKYwepEF4UsucYlVyCDsV6IfPsDNJ8/EYHsdPQWZR8hdg9DdKBVbDy3FkXuxiI0KxR9bjyLVpCnquEmh1p96WiAzxPMkRflYevgN0WRYP3iZqrHkm4+x8rzAu7G4c2Qmev36C6Kzi5eXQtDH8nEVt67dwYuUDDhUqY0W8kQs27MS5x/FIvbmfvy+8yyybJojyKVIeSsORavRwMTQDoF1vJG2czM27r0ptrlx2hKkQQKP9h5wqFwHDRUvcWDrn7gojMXRBfhzyUJEv8hBqswW9XsNxZBB7WAte4AcSPUbMjmUBrlIzwjH9WuxSM7KLZyjmnwtTCr6w6uyMa7PXYJDN4VxCsfG71cDdpXhXcMKyNFtyQp57Y1zVNcbgSMyXj7Dg1gB1mX8NmAgVsaZoHvbgahmBtzfOxeNggIxbdfV4t3X30shODASH0aKfRdonpCUBm1+Nl5GA85+dTFiyGA0crVCcrJQJR8wd0MzV3uknF6I1aeiEfvwEpZOHYHLKYCxsAl4RW7qlbVSrcfdjIK5lPCrbAe5gRLIlsChclMMEtamIX3hUYniB4VKC0NIDYCLN2/g0f0wfDJqEs6qjODjWQ/lX7PBLNXM+/18V9Pb28tpeezHvrqYKN3eSpAUtPEey9ulvGRvh/M33qacFYOlrRp+WtJVEn+UjeWgpMZQRmYUmNZ17Tw9vpptigWwuwT/yri0JH7eRYgD6sGLBe4nktHHl7GptbHYL3GLYebCQZ/rgiyvrxhIq8J+m7PLp1uYpMnk1j71i8rDi58vOF9oIi3R0+eX+XHHogBIuARz610Vs++sY49a1sVgWLHj1wv5SHSBqHl51WRa6Ns1r+jOau5KWnnXEz+nf3boSwJWHP2HzpGZc20Wnc3Acl8dEJvOeXiEdV10Llh5q2nMUSVwhPixxBDeKPCG6pGMXP2Rrh2n1twT/arJOj/2GFt7i/t3EVe7kK489CCPjN5AQME6/Q+RjOdvtSsQcOCSM1E8trAPAU8uDBWInM+Tiz4V3YAibYU+ebfggiuJpPomBwB0avZRoZuqBO1IXprfSXTV/XBU5/+7MWu4iO83B3Ufb1z83Z8wMOYnp1PJ/GjObRdULBgcdK8zhkeiCtw5Wu77oSDgvSJXXC9gAhUvbpzM8pZF/TSr4MF1l58xPWonWzvoaCng71xjNM/oBqkYqiou62dN2Hlzt/6bkjuLP6ENwIk7igJPs6PP8rPgog9ThLixut1/5nXRd5/LeV0F10EQj4hdzeasEQKujXhAhJnFedXL0dDYlSdKuz4fHWBjgEEjZotxTy9Ob2QPD8Fdq8dbVoF9PlujnztZPDy7CS10xi1CYsixSw8x9UUUv/Qpr6+jpI27I01k4NSDT8V+XloygGZ6eMKxOGm31tNXCjbQu9tfXl7M9gEWRW3Clt1/WE4hDFj1YCNrKsHqn23RHeWSdYldDOSsWOOrkuOedoHdAFrUnUBdtKOexC9OsrkCRLX+jEgtOc+Z/5Q/DhLie0CY1uaauznMuLOHvZyLBZor7Nl68Bo+Ke3d0tzmCCloX6sn47SCB/c0J9YUYkULxtuU9XpM148PeX37SDoXhjaAbT5bxISXj/lN0yqFdcp7VKAJLDlpgy4sIeb4NHrp4bWevIoZKbfZzR6s2Ge2GFSufnyQ49s5FdYHDFhv2BReFzz9OdfYrzJo3e4b/dg947fBlShXduSFApYu4MK8+/y0bgHeBX9t2XLQH7xTuizJe4d/pb1SV676JCHc4jnXjutUTNaBFtUHcvMpvd+9oB3hb9RWulqBjsN07s6oQ1+zhpO8sA8SE1eOXXRADJFg+h3+NMC/8B3sPLn4SipzH+1md7+COhZ0q1SBsK/OOTdVpDaBi4foP4YxceKqO2TGkc/FOMO+KyNFTMI3fcUKVnq3FUCjClU5auNF8V3KiR/EeK/Ws3XHe+Q/3MUGpqDXmFWvjYk8tWwMPYX4o8JxN2LA9+v5vFS87NNzfzBQT7N6I2eK8v7MyvG0Ni6qa+4awM9363AsTjLt81NsD9Cn13ciXVLDd3Ggd/GPKcqx8+gljBF5VMVTi9vTVt8WIOeQ2Tv54nEkB1crp8dTQicPBxrAhX/oYyUiN4wpDMQfvuI4n51YQXeAvReEiqjcXPMLQ4r308qbX847JrqDNbF72cgM9BixTBcCpLnJAbbGtHEfz9KnXiScnCvG3xbRC4S5Mwd8uYbP9NPz6EzdhzRdfz9VKi6QvLWpkxiXWby+f48vmEItj85qQHP9OFiaedDcUkazMStF/F9eXsSmHkW09mg5jPeyyN0TXAiLilyrF7XhC4YSMOeU/QWOZf1IqOI5KdCRcqMGutCBlOv8skHxDzpA+84/8ZEwBqkXOCbYXEdra2d27VKLMnsnDtJ/zFJ8bP/u/Qc78PbZ1VAcvHAHKqlMNFuLuwK7ALTrXFv8NPj91Me/UDozFns2hELh3QAt67kUWZWYiYiDG3EppTLadmqGSiYljYgJZw5i760YqGmOOh27wb+8HOEn9uDaIxt0HtAABacvCBglXzqGXRFRyCMg92mEjxp46RDNT8SxjTsRla2G3KgKugxoChspkJ9yH6u3HBd3vOZ2DdGrm3ehq6l0D5l4E2t2nEW2hjALbod+NXTm3ty4S1i974pobTC1rYEe3YMFb6z+ysKxPbvx4GkanGs0hb/VI5y7k4+mbdvD4PlVrNt/H371W6JWVUtoUm5j96EwaKq2Qffquk/UH19Zj4PhGVA418bAFp4IP34AkU8d0G1AHVgVI5Pm7no4+AyGTfspOLX9K9gXuGAK0ADwNHwn9lxOEN2W/q36oI6zGZD2EGu2noOdZ0O0rl8J6XHXsGlfGHzqtUVlRTwOnn6Bhu1booqDzg8ZtXsTjj9LEWdZuYbd0NXbDtAkI2ztdiRU8EXr5rVfe+xE0r1Q7LiQiFot2sLP0Qgpty/gcFgkqrbtg4DyJki8sw87I9IR0KQLajoaApp4HNm8G9FpBIwc0axbJ3gUeWWQ+vgGth6+CKncF5361i5x9MKNs3txLjJOxNE9pBWaV3cRj824d3w/Ttx/CkjMULttNwRUKvCtFhBJiwdnt+LsMyM0a9sBFU2AtPuXcejUVbi17IEgpyJ3HVNuYtuOs0jMJyQ2VdGjR2P9sRMa3D21CRcTrdCiTRs4Gmlw+8JhhEXK0aZPC1QwUePu/p24kiZH0y6doSeriIA28ymObTwAdbW6aB7iLZrqMx6GYtuRO+LuUOFaB4Nb+hfjz1Sc3bsZkXFaKO3d0bFjc9jKgPTocOw8ehnZxg7wq+WM/LuXYVG9LwKdjIH8lzi2cTceZKsQ0KIHatim49CeY1D6t0VLv/IiHpmx57D+4HWRny0caqFH50DRIqdKe4Sj+46BVVugTY3KkKiTELr5IJIsfdC6re4IDxFA1hPs23ACUs/6aNnAtRi+Wbh2aAMuJFZC644txE/yCygv/M2LP4Nte28jXeGIJh1aw9NGgdx7F7HtZAQyBEuKSw0MaBX8Kn8xDRfWbcUTmypo3boBTAXvcHIktu8M042PrRd6dG9U7FgQ4s7pZTh1Sw0aW6Nl155wNQUynl7Hxr3noVEYoWb9IGRcuwGTGm0Q7CaMezbCd+7GleepcAlqhqZ+5RC2ewsSHeqifX1vXWBCyh2s2X4KWSqKMqbboKawEjqWn4yz+7bjqWVNdGgSACPk4NqBA7iZYoNWPRqVkF/QZuDKkR2IeJxbeAipxMEf/TrXKXHkQxHd0hB+aDOuxBD2gS3QOVjg9QycX7kJ14SUcApT+HXqi7q2xYRFQeWMWOw8cBIapwboVttVfBofeRi7zz4U5055zxbo2MStoDSQ8QAbtx1Dai6h9GuGwXU9RBn+IvIAdoXFQkN3NG5ghzNRz1CnfnP42CiQF3MTuw+HIcnQAs069oJLzhWsOnIXVeu2QT13kTqIDNuHsBtPRI9Bldqt0DRAd9xCXsINbDxyHZWCWqGptx20mU9wdO8h5Lo1Qbtgt2J8VYRizJV9OBz+RORd2HmgS6dmsC/wAhcWy8O1fbtxMS4J5X3roGU9f3H8Lh3fgYj7z0U8fBt1Qn2vomOJCqvmPsfJtXuQUbUmWtYPEOV8Ttw5bN13HVmCWlmpJga1Cyoh/y8dXIeIGC1kNpXRvnMbCGe7J9w/h90nrgOmtggJroLnV++jfIMO8HU0ADQpCN20C3fTc+HbtCNqmOfg8N4TsGnQDvU9HUVUnl7ejr3hL8RxsqnRDj2CdWuRNjMOx/YeRLZLY7QPcYeMqQjbegBxSg+06VRTd2yUvjO5z+/i4J4zeKnV6FzVAAwDmmNwbffC7qZGX8K+Ew/h16YD/IrOThLfp8WEYu+JKGSriurbVwlE26a1YKB+jmPbdiEqRQ6PKnVhYPgAj+CBAXV1J9k+v7UNu868hJYyBHUYhJoVlIi5uAOnHhH1W3eFqwWQdO889p+OgX+bDvCvUOxgfnUS9uw6jFQEoGc3b5HWmpd3sG3HKSSLYREKeAW3QaMaOnmWePEE9lyPgszJB6YHv0OvZTfw08mH+DK4tIW6sNt/6eaDKWp/qfWySv8LKKDCkSmt0fKH4/ho5U0sGVR0RtH/AuTLUCyjQBkFyihQRoEyCnxwCiReWI4ho6YjKlcBqrLx+Gk6gkfMxM7fhsLqA7s+X9kPfPDelAH8X06BHOSbBGHsx7UxpmuZkva/fDDL0C+jQBkFyihQRoEPQQGJLbx9akE8IQ9A7Xo9MWtUB52l+0PALwajzKJWjBhlt2UUKKNAGQXKKFBGgTIKlFHgv4kCrwku+G9CrwyXMgqUUaCMAmUUKKNAGQXKKPD/LwXKFLX/f8e+rOdlFCijQBkFyihQRoEyCvyXU6BMUfsvH6Ay9MooUEaBMgqUUaCMAmUU+P+XAmWK2v+/Y1/W8zIKlFGgjAJlFCijQBkF/sspIJsyZcqUfwfHfJzeuxIr1u/EwxflUM233GvPqinAJfnuUSxbuQHpNv5wsy19JlVBqf/8N/PxefwydyeyDZzhUbHYYVn/ueobSmTj/O6lWHXqBapWqwLTf+G72ay4S1j15wrEGnrAq3xRGqwCBNXxN7F69kLsOHsRtlVqwd70NQedFRR+p79a3N+9Dmt2noSVbwhsizKKvFPt/5OFNCk4tnom9t5Xw8vLFYZlW5z/k8P82k4xE6d3/Ik151LgXc0dJn93er22kXd8mHQbi5evxLUsOwS62Lxjpf+JYnmIWP0nNp+ORAW/QFh84OMK/id6VNZmGQX+xyjwd0/Mfdf6D4/MYxUj8Qw91mg3v1SCbTUzkxKZkpahO5Wc5J0NH4mnnA/fqM+i+q4NlSr39JhwArUxB/xYlBS3VJH3+6lN4JRONkTFXgzXJ9d+PwDvXzo+dDqdALaZHfZqZVU8Fw/w0mWFMLLhrFNvSl3+atWCJ1p1LlMTk5ieVZCSQMWtnatTDiU36nO6F5T9p/+qsjOYlJjCHJVW15TmOVcMD2Zgz894ttRp+38Xl/zsFCYmpzJHrW/rbQBz7nGkF2jYYDSjC8j0tvLv+U6Vk85zGyawSZOmHPHT0sLE5e8JpkTxh0d/YmBgU04Vjm3/m1deRhqTE5OYV/rk/neAq1XlMCUxiRnZ/1aakndA6n2KqOP4RSszwmUgb2T8h4paNbPSEpmYlsV3Yau3QyuQi5mFclF7azUdTEHXcUXJyN8O401vNcxOF/DMfGc887PSmZyYyNyCufkm0OLzFM7xtaaBiRtPJpYuqGFWqbYTwxexTmA9Tphx8ZVT6kvX/su/NXFc2L4e63WfwKtCVod3uFTZMZw2oQcDAwMZXKceh01fwxf57yAv3gpby3NrRjIwsDvXnnr+1pL/+aWWOanJTE5O5TsNy38GWFbiv5AC/5pd4Gn0JdzPCcH68Axc3j2i2Enego6aiDk1PdBmxFQxMbbwRKo0gY05YGYsJIX965dUIdS3ganphzILSWBsZg1Ymb3VIvjXMX61pqmJKSwtAHOj15jv5Gm4tOYOAgdOQVp2IsbXff9dtuRFKHq4BWDC/MuFjStMLWGttIbxhyJbIeS330RvmYLqbq2wJ0afO1CTDUmWA8rbWkHInf4hrxsrW8GtcVfsfvn6PIUl2pLIYGoJ2FiYFGW9KFHgr/9g1kNMGdcVQ387gosnjuPUxRvI/evgCmvmaTJQsbwNLF7HN4Wl3u3m8g/DULtqCMKEhPLveUli9qONWyC+XR/1njX/W4pLYWxuA1iZ6vNzvgUvSTr+HO0Gt+Hzkf4ObPUWSACe47dAN7QbM70o0b1UCWsbM1j+bXmWgzUfu8Ft4Ey8eEc87/zxKeq4+eLQ83epIIGRpTVsbKxQmGu9sLOZWDbGDW5D/0CKHlROfhrsy1vDxrQo70ph8Q91k5cHtW052JezgfxdusBsbJjzLWYfeAADAwOkRV3FssmDMG5xaIm80e+PnhZqZKNieTsYK/6uUNNiR+8mqN+sLx6/S5/eH9myGv8FFHjNyv/XsUq7uwkzl59Hej4gN/HF8C8+gqcF8ChsHuZsvAggE+t+/wF5w0dhcANdWhEhJUno0rnYEpOCR7m7MWaCBl1GfQNfpQJSpQGkGZHY8scMnIs1QUDXERhUt3IhgvGX1mHehnAxvYZhna74oWcDvN5JqoRB/hPs+GM7TsemwbVhN4zuWFtMXaN9cQM//bEayZlqQTtE1bbDMKqZLhWF0FDc4Q1YfOgiMrTl0Lr/GLQKMihMdyzkNVc/CcUv8/ZAVnsgJnX2L7GIp0WfwU/zt0GlFXLfmiOkz2j0CnIEtGk4smERoq2aoZ7pPSzbEQ4D8wAMnzQI7nrPZuLVw5i/7hBSTMuhoRdg/Dr5lROHRbNn4RyA1PDD+GGKC0Z9OkCEEbl3JpYfE1KnSGHn3BmffNIAQqKMxxd3YOFlNbqFmGLH2svwr1Mf8XfX4HLaE9zd+DM+SQ3GR5O/gIFCBqWRMTKiTmPugu2IQQW0GDUOrZxKa24Z2LNuFW5a1kI700dYvvM8jO0qYeQXn8IwYjXmbLgGtXMQRozoC48CnTvzAVb8vBjXs1SQKMwRPGQi+nhbIenOcXy7ZC8epz3DgsnDEdOqFUYO7gLvTrWRmucHlwKvrzoei+YsxN24dEikCtTuPQE9xTQn2Ti1egGiTBujtuM9rN8cjjxbPwwZNwg+liUF4rPLmzF37S2k3VNg4adjcK9tH0zuUxcZN9dh9spwZAjsoDBBq2FfoGXVovROQrJrYyWQev0gZq45DPfO4zConhuQEYXpvy1BQlo+JEpPjJg8Gl7WOlZNu30C85ftwQsaIWDARAyublfIw8INVWr4NR2AzmPLY3qDpohSyAt5rERBpODwjDWIr9IQQcqrWHf0BtTONTBqdD+YXF2L6ZsiYGTWAOO+64wKCsDeqRlqNX4AvxAh3UkCts9ZDtbohkope7HhxFMoPZvii1HtYCsB0u8exs+brqBWp2HoHFAOmffCsHzlXlTpPxZ+2TewYM9ZRCe+wK8TxuNqu+4Y2b2+mG7p9tr5WHY5ChpIUK3jCAxrok+rVoB46j38OHsZItMeI3H5t1A8CcKQCZNR1RrIeXgO8+ZtwVMtIbNyRsdR49HwdfnJAETsmIG1p+Khlblh8KSRCHDQJbTOvH8a8xZtR4IWkNm6o9uocahjCyDrCdatWQsDv05wfH4UW0/Hws6pKcZPbIsnK3/HkuuPUS6wGcb1bwNzCfDs8lZsCc1Hm55+OL95Ga4+M4Z/3aEY3FVIeSOk8yt5aV9cw/czVyE9jzAwD8TYrwfCyVCDS5tmYF1oGtK4ERPGpqFFv1HoF1IRSIjEkl+W45aWUNh74KPxY+EpRmKkYdeq5bgQ446J33ZAuUK3ajpOLp6LbY/T8Dh0J0Z/kodOH32H9oYKQKaEuTQd+zf9jiMXHsO1ejeMGFinUPZpnp3HtHmbkJQNyI3r45Mp3VCxhPzQIGLHr1h5PA1pOdvw6agcNO8zAoPruwD5cdi6YBbOxmghkVmgTptR6NHMEYlXD2HupqOITkvAH5+Pxu3WHTG+f0son57HwoWb8DBTyB4nR50uH6FH/aoliVXilwqXt8zA2pNpSFNvxsejM9F68AT0dGuK2k2MULVhBZH3Iw8uwoFEV3Txk2HVmr3IlTqh92cT4Jt+Hr/P346X1uXRa8RnqOmgn9e5MVg6fxFuPsmFROqBvh+PRM3KpZY3I1sE1KgNhZkbKlgKSOXjzNYF2H42BsaObhj+8Xg4F19ASHg06I99Q5sjxB5IOfEbfJtOwoGw28ge17hEyqS8mHP4fmck2rRuiIcHNuBaXBaqt+yLgS2rYu/cr3A8RgGnjsMxsaEHABkqebRDraa58PKxBTJuY+WCPajYsit4dRX238iBXa3umNS7NpTIx4WNM3DopRMGDxuEysb5OLt7JfadN8eEH7sh7dhyLLt0F1HZcfhy5AS07D4SQ5t6AbmxmD1zEWJf5gAyVwyZNBb+Djrmyo4Ow/wFW/FUI4dXn08wspYupWCJYSr78d9FgQ9j5dMy7vxytndXCFkwqVQKf8FqrQfzWoaGESta0lQmJMeVUK6wYsfZugSwurZfcG7XEMoASqRSKgwt+e3Rp4w7/B3dTeQsV9GFzg5KnWvPqyM33xEzkjN61zw2drKjrZ0DHRzsaWxTmX2WhIkJp4v3Kf7UPBrJDGhVyY3ODpaUClJXacs5obrM2Ecm9qGDfTk6ODiwnIUBYVuHc449EUHc3T2DQQYGYmJxpdKI5n1/55P0VM4fXIWo+SljMxI4o58LgcqcfuhRKZN9Ilf1bEpLe3sRtrWJkgqPztxyM0tMKPxle3vC0JKurhWpVAqJviVsNnAjBc+KJuECRzrpkr0qLaxZsxwEJAAAIABJREFUwcmeJgpw6DJdQuHC/qVGsG2wk9gniVRGi/I9eDY1i+dmfkxXIUG1UkmlXFhlrNjjq03M1pKXl44UkxFbOtnTUOnJ8RPmskULD5G+UpmcZo6ePPQii6HjOtBcYUgnZ3c6mijF8XTq9jXvvOL6ecrRrT0IY0tWdHGiUp8k2LVaEP3c7Gksti9hm6m7xETDmpdXOKx9NRGeUqmDiyqtufpSPBNO/0EjeQGfKFmz+0QmqPL4Uz1QUr0Hb+SQ2qwoTv8ohJCAQn1hPKWO1Tn5gED/TM7qZEHIbOjmUp6mSpnYjvu41Uwslac7csNoVjaQEBKBJ5X0HLGaGtUTfjWwFh3KCTzlQEsD0CqkMw8L7KB5xE9DQJdeP/N56n1+WU9OmDXgultJ1CRd4WedfWhqbSfWszWzYWCnabwruEjiQtnXqyINTSxoZqKke7v+vJNZOIIlb16GsqUS9Ov8iT7BdsnXZAy/q2hDyB3p7lieJnpaO/v6s5pHBSrFJOqGbDfjMAUPZdTaQQSsOXG/kDT9Jod4gXLTSnRzstXzhTHbLQgT+fbprgliQut++oTWz3bPEN3tozac4/V1P7GSVCryiECruhMWM0er4vk/P6WHtS3tHAR6WdO2oh9n7X9Ych7EHWeQh7WevxS0cavOY0/JvJu72chHSB4tFcdRkBfmDUfyxKNSxNHm8uiU4XSSgZArqZSasuHkXaIrMOPyVtauYk1AVgjDqtk4nnuuJjPC2c5XSoWFA52d7KmUCPPAhF6BwaxqY6tP+GzKzzecF/G9sbIvzSBjJbcqrFROz5e2zbn+uhDfkMQfezgTgWN4V0WqY45zUJPKNCkYb3M7Nh66hM/UWm6c4E+ZMA5SGRUGFTh0zU2qU85xbB1P2pja6vjD1op1hs7iQ8GFnn+bbcUk0k2pz5utH/QEzukUXCQXjSz59f9j7yzA7CiyNvyNT5KJuxvBLQQIGghBIrgTYIFdHBZbYJeFH1lkF1lcF1kIwR2CWyC4BNe4TGaik2Qyeufe8z9vzZxJZ0hYZGIzXc/Tt7urq05VfUfqlHTfl2abzRhjA/s0sRYdu1v3Xp0sO3iRG9uVj/8Q8pX/+IQdM6i7tWxbLYutm7a1XY+8p86fh1faI+dsZZnUMy3DsrI72GF3fGzJign27z22sCaq1q00ybKabW+3vD7RJo+5yvplLJWB/n+6yhZVldvTV+xjnTtU27i2eenWvFMfG/3RfP4t3m7fcR3r0mNLe4fb2lBmD5zRfylG2Z3tT/d/b4vfvTTY2X1vHR9SPvq37YM89l6nt+XlVv8xe4f1NrfNeve1ttnVf7Q+YOT5Ng29XvK1/euofta2XduAb/sWbWzdLf9m4+sqvU2xs5vL2mw03KakzL567HTr0DrXWrVuaU2zO9rJ//iwdom5trqwaPEcy8+fZg9ccYR169zNTr33g6Bf0TQL370l2Jq8nn2sQ/sW1f1VXifbbLP+1rNjjTx139oe/GJxyPbixTuY0jax//6QNJv1lO3cir+G7W29uuRV8zS3t505ZrKZldu1I9JMvXawsWEJudguP5o/sB9hHy0qtVcuHmnN0tIsLS3NsrKz7eAbxlpy0Y928eEDrHnbannr0LytbbT73+2zJSmzuR/asVv0sdzc5taiWbZ122Vf+3wVbeGJ4hVf/zoE9OuSryB1Vb5dflhnU8td7KmvF1pZ2WJ75sSd+MdrO/6eby1VVWHPXn2ISdvYXWMLrCIR7TVTlij9yv7cOt3W3+2P9mNJmSWSKZv4zNnWLVPW/6AbbFpxmU167q+Wp1b2p+u+RDPtuiM7mVpvYxfdeq/de++d9qd1O1mb7vvbJ3UciYK3brRs5Vj3/f9h3xeX2OyXb7KNm8ra7XmjLTSzyeM/sNfv+a/dd++9dtvFdGzNbP/zxlnKFtuVB8rUZoQ9822xlZX8aNe+MNYmzyuwm47d2NR7iJ1w/AHWrns/u/qpj5YDTLl9/9Yb9vI9/7V7773XrjxjT5M62ln3sOduoV1+2LqmZt3s8hcnWlnZLLt0SGfL67q1fbjIbNJDh5jS8+zYWz+yspLF9uAFwywvU3bMnXUcNUtaxZx37Ih02YCR59nssgqryn/ShnaXtRnwT5tcVmZlC76xv2whU4dB9tz0hP345Hlhz94mZ/zXCkrKLVGZsIVfjrYBam57/eVxW1xWbslUwp4/bjfLScu2Iy55y4pLy+zpCzcz5W5ut7+3jNU1swI758DNg7P6l5cmWFnJd3bmljhLbez8h762JUWf2XFbZJsGnGnTLGWf/fMoy1QTG/nol1ZWVmYTXrjMOki29Yk3WCJVZe9c8wdroXXthrEzrbyi0lKpQrtsj0xrN/hYm5oym/j4362Zcu2IG94I+Qs++JetmybructFNidlds/RHS09r4td9PA3VlI2x646fEOT9rRXZiaW4VGqqtJeuGhdU4/N7fpPFlh5ZZVZVaGN/+Ad+++9owPPLjlmA1PTtnb261jIGfbXnTKt/db72klHbGLtu+5ud744K9D84a5zrKNke595Vch3w5nDTHnd7Nw351hy/I1BpnY//WGbsWi+fTH2JvsBwVtOSM16w4bm/JyjNtOu3LS95eT1tWuen2qlpV/YKdvmmDLa28UvTLKywnG2Z98m1nLdP9s0avzEqaaWfe2CVwrM7Ac7baAsu8NO9uD4Iisr+sRGbtza8nqdazNSZvNePt/SWnW1Ex/8NtSs8MUbbDPJTrrvE0tWJeyZo3exDpnt7IGvS6qxWjTeTtxGpk33s+vvRQevtJ3btLC+W19lBdEtPKmkFb5zi62vlnb4Za9aWXm5JW2RjRqxmSltXbvyk9mBj6/8+wjLlewPt7y+rKM35w0bvl6aadMz7LuiMiuZ9YmNevhDS9gCu3vIBqbsje2GL+ZZWVmJPXfZgaGTO3H0l2Zl39thA5ubOg60R75cZGUzXrZtWsvSm25h935UaAu/fdiGNJdlHHOzlZvZjw+faO0yZdv84U4rWFJm3z11vrWXbMjfH7BUqsz+eVgv04DTggyPv+KosH/2iAtvCfy+4thtTa03sn+PL7Oqykl23lCZdv2LfVVUZojVZ/fuZcrOssHn3BjS/+vE3S1L69m1b8wzSy20/1x+mh145J02fZktfClLLPncTmop23DY8TaxrNoupn583LbommnNtzrM3p1RbGU/PG2Dmsm2OuHmgNsbV420DLWxoy+6NZR10VF9LKNtb7vls+oBrotdVelk+8feMu14sn08t8wqqlL29WOHWo5kh1z0fuBJ/thbbZOmssyDr7XFySp7++wDrKNy7fYP51l5ZcIsscimfvum/ffRR0JZ1517gLVPl+1z+2dmVmF3LNdRM6ta8qOdP0ymwafbZ/PBKGVzX7/Mclt3tCPvwb6bPXvpcFNmK/vDTW9YSWmRXf2HgcER2u/sV21x2Wy7cYdWpi7b2OMFZovfvsZaKc12PuqSUI9bLhhhrXNlxzz0vTe35jzNLuyZZ+tsf1iQ+YdPyTJ13sL++e6PtuiH723svV8EWVgm08LxdsS21YNmBhOb7XWcfVK4LJakX/TJPdZSWdZhl7Pty6ISm/r0pdZNspabnWTj55fat6OPt8w02T43V++VfuPK4aZ2O9iDE5NmhS/ant1lLfr9wd6eUWJlk5+wrfJybYOhd1uZpezOke2sZf8R9m4wvUvs2lPpWw+0twrNkon5dt3WPa1L723s7YJqPk5+5NIwyNrtpH8EPG77236mJm3tuDEzzH6416Qc2/74O23ygsX29ds32Dd1TfoyAMQ3awICdeaGf9tsny3O14SvCtT5wAu060YtwxT8bqccqqzbv9G8L+cpLWMDNWPKXhnKbZan7MzoMlSaMpvkKjtNysjMUvOmudVLklVJZeZJe/zpEPXIy1Vi3S20npIqXrJAqVQzzZxRKBUV6pKTP6itdIeNZqpkiaRlXu4sV6U669Ahh2m9vKbSjjtqgw1aasKHc1WiUs367Dmdeezl+hIzwN44ZUnJhSqvLNAPr0n9Dx6kXTfIU6766cxhTFvPUwXj8eLxevQ/RUobfLyG77tVbR1qL6qK9N2bo3Xmxfdoak1kmlqrrGSRpA5KJSukjQ7VYbv1VW6GtPmWHaVJ5Zq7OKWFn32onH6bBrq5TaV9Dtpf1976okoTtdRrLtKV3bQJNVZGVq5a5War+PtpmlkgHXz1MPXOzZVyN9QBRw/Sv/9vieYXlSiZUSGpn04avrc61aynNsnNVobSlJXTTM1zWSOpUqI8odbZ7TXyhEFiO0zfzXaXysdo4awSaZkdhqZEMiU131+n7LGOcpXUhhvmqJW21f77bqRmuUXquV43aUKachIlen/aZKVpT52xxyaieusMPkAHd79AT86drzL2gTWh/Aw1yWuunOwsyaoZk5aWrvSENPHHj1XSYkcdOnwn5eamq9PAo3Vwn8s0atGnWpyUkmVlarnJMO23z4Zqmitt2mtDtdAkzV1UKXVdKu5pGVnKZdNbeqZyKSsrQ1pSps/HXKdjL3tCKYc6q6eSi+BZjjKys5T84g3d9tFibTDsAB06tLOkhL6YOV3zlaZnrztXzzqvs3urYt4ipQ3YU2fuc6uuu+EEHTLlYB2w99E6YScn/uvPZUsq1G2jzXXQ8J5qooXq2a+HVD5UI3fvo9yMZurftru+KEqqSlL14uDSMhJlUs/he2tE/1bKVR/179JDr38+QwtM6sb+lrQ0paVX62ZGRlZYxgf99IxM5WZlKF3papbXVDlZUtmk6Zr1rZS2+CmdcfRTtYWsn71QxSZ18v0yaelq2iRH6UpTdm4z5ebkSIkpej5/oTqte4yOHtAh2Iudh++n7S4ZrYkFRQF7XwFcNOM7FRaZdr7wUK3fKldqNUBHHiKp/Es9m1+s7hucqj9s2jbQ2HXEvtr6X49rQuFCKdlWVZahVoOP0f6btFCm+mmQpNJdt9PeW3VUy7Ke6rGxlExUVzSVSCinRab2O2mkOjXLVaetdtUgXa4v5y9QMpVUWlpakJWcqlKNnz1bS5Sm0f84RaNrWp7WYlOVLypRRlYz5YTK5yivea6yMqo05d1i5VYm9ObVp+lNT5+2jsqKFkhp/XTc32/QcbUI+kWNXUQbsIu51XbRUlUqy2ymDYYdo+14i71yfW22nvRccakqU1X6cdYMJbVA915ysu51Uh030YxiZHjptoWM3CbKQR0yq+uZnZHShFdmKK91D408fpugm10GDdXuO7XUV1NmqyQ9Q7k52UEmgm5mZUrJKv34zn908TkPaRrkQ8jQjCULl7tcXJsit4myI2Wjej8JiRKp43Y6ZJ/BYZ/sNm27qLOaa+Qpu6p5rtRvSHOpMEvsK5k5ZYIWyjT2vos09r4aShnNNWNJ0U/IEmGWUlWatP1hl2jg43/XeQcdpO8OOUgHHn+illkhJnGLvvrjOddowLRSFY1/WTfdf6eOPGkdvfjAueq5FE5JFVqijtpvp5HapFVTJdbvqz7tpVbHjFT/Nk2U2GBztWjbRvDvp8GUTEoD/nCIduzG/pANtUXbNnp7Sb6Klab0NFSz+oxtzMhcClh6Zq5yM9KVnp6hvJa5ys6Qfpg5VYVsc7ntQr16W01paZ2VnLdAGjxE/zdyPV36n9N18LT3dODeR+rEHX9aozhmzUIg6jH99poh+EmpaFah6MYJJdNmqkqVSm9ZLc2hM5cpWbUcQU1WKlHBBsuMYHDJb3TQJlWWlQV6lZWVYR9MRka6UilTKYZhiyP04tfTlJ+fr2k/fKkHb7hVm7A/ZZlAF1GhWYtrlLaiVKUlFbIubZQ9/wv94+J/aeKm/6fv8vM14dV/aX1lqSJpsmSVkkukBQWLatu0eEmJSiuqpKpyqe/+uvSyk7Twnf/qn/98dZkSuUlMeFmnX3qPcva5QzPy8/Xx6NPUWUlV1TiE7HVSskJlNbvGKxMppaVlKD0tJUs1VcWixZpLD8rOvqJ5YgtdxvK4VZUMHZulwA+SlaqskmZOwVhWh8Kps4T32yQnUyyySkmVVSzdrl6VSKiS3Ev1n15bppTKS6tpgD9ubHqG98A1xP1kFSoliSqVqKrGrzywrlJVVSlhbdJTKZUnqpRQgWb4pvSyOZoxX2qa1SQUX1GeUFLlysh2K5iq2SGUFtqZVpWQlixQwcKa+luBZsBPtVFOqFqarCqh6rKrVFlVxZqZMrB2dUJlolxKmrJCjyXN+/wxXfSvJ7TB3x9Vfv5Mjb3mSCm7UokaniVKy9V+52N19Xk7auKLN+j/Rk2UlKVExRJVqavOfvCjIIv5Mybpozfu0fE7dFMip5POu2+c8r99WC0njNJfTjtN939d26stU6O0Ni3DxuvM7CbLuMLRRBjsVLJKZUGNarCtlaNKJVJgjcwvJ6RJqcqKmhcVKqsd7IzMaocsWSVLJKRUtXuXrJgj2OciV1leJdiYVtOTpRIVKi6Weu19oT6bOjO0e8LXH+r2fx+t7p6ppgqJSuQrKfkALWVB/haW5mtOTZryokItKJbywkBhad2TyTQhqgXTZtdGLpm9RJiRskS5FpbM1NyaJyXzZ6toiYJT4wBYojy0Q6lKIZ7JRKK6/ZUJ/Aylu1ykpymZMM0rqNGbxEItkNQ0s4nSnBh4pFIqLi2WaT1d8eLX1fye9oPef+EmHbJZKylRogoGVMn0MACjahVz56siq70ufOSrmvQ/atxb9+nA7bsHXZxbMEOTpiwI+lvbSC6CXWTYtNQuMnBBM5OV1XZRlfBRyszIUMpSshLs3Fa68ZVvQ1kzp32vDx+4XsfWNYzJhCpDPdOE7wynbUmFiheVq6CwRuDLF2ruvGKlN6t2EivLE6GOadnVMlI140P9+/iHlDX8Yk3Iz9e3T52n3u2TKq+qIwDLNCowQYiakmkK43e398ukQ1gTKi8PRkUVSeycqbxmtJqopI54MClZJTzrppOufy3Y2vz8qfrs1cd09e519kvW0jdVVqTUsf9xevGrfL33z/56+roLdPbF14e9jrXJkhVaXGIavN9xOuOM03XJfy7Wtn0z9d2Y+/TNvNpUNRdISUqVNXypRL5MSpRX2ynsJ11aOg7/CkJVeXn1SwrwFD5nMHzGH04omUiFiQvaXD6fDYFOp0qV5fQracqqMZnl5cWqVHudfOdb1fI2c4o+fecBnbFrX1VlttVpt7+h/AnPq/f8p/S3P5+s/3w6X0qVqXDiRBXMX1Rjb1dQyTh6tSCwdIrhdxSf1npD7bHbDhp94+36+4WdtV3PdL33r5tluf2028hqZamiA1HSJ0iWLS2tldptkKmJ336k6265T3vve5BaZ6SHUUaqxmaQMamkMPqZmb20226DdcdVb+jZZ1/Toj7NtOSHt3XvjwP19JABy9JWjrJUoAduOU392v5JLT95VmO/T9OQu3dR22wpr3meMvNm6/Nx4zTl9VH6VqXqVWVq2qSfhv15Hd133YM676Ke2rbHbN3xVpWuu/iPyslISZXNtMsJp+qC1x/XP/5+vgYM7a8z+i/1EtNy8tSmdROVZEzTu+PG6ZMnHtQsVdQqairF9I87IZKlkkpWpZRSprYZdoCaXXOp7vj7X5WxVx+Nuf0qfb9Y2n653DIBbTKFWyy13XaQduyfp7svvkJXtJ+ojuVTdcu1E9Vxh3O0Y59mmjeeGbWkanFlUN28gzq3LtVnY+/SbQ8Ua6/991FmGk51slZpGYXWzedApxgOVi1tC21LJpfmDW2trFBxdgsdtNsQXXLPZTrnvAtUtFNvFXw0Ss+U5un4IcPC5vRmbVupiabo6TuvVpt9dtEeg9dThlWpqqpSiSxpyyH7q98Vp+mqS/+qtL031+Lv7tV9hQnt88eT1DWjUuUJyl5al4DrCuSuZYf1pRkfa8wt16r5fvtql6ateZlXTeZM0bhxCY297zWppKJ2limVMJVkNtdhJ92irx/eVtdfepL23v05jdhjT/W97nk9OOZpbZm+qVQ5W6+88KwOuuoVNXvjYh38VLrOGryutt9ugF6cUajSxcsOVqysUONefl4TJn+vSRVS0fcf6pb/jtKgXfbVlj1bOMzhDNY/wTbS3urnNfOB8IwOLuiQqVrkaucK5WmJyW3XRZ2WzNbYO6/RXSWb6sXbLtb3kkbUzC227dNEJaki3X/jTdJeu2mv/tto9/076bwnXtMzIzbQ+i3TNP3DJ/RGj2P1/NbMPC8NOa06qGPzYn340m26p1O+hu0zQmfvOUDPXn2Pzvjrhjps3eb6+Ml/6/OcDXTrzlsvM15os8Gu2nWDjrrhxkt1Ye+56rn4Gz33TG/d/t5x+tuwTbXLzXfp9PPX1QF9cvXew9frm2ab69xBG0rpE5WoSioZ7A51qWk/s78hVN+nap5nZOUoWZzUnX85QZ3m76vi9+/Sm1kddO7gIcrISKiS0Q8ynNVcBw4ZrEvuvkyjn3lWfRb1kRVP1Itvfaw/XjdIfbOaKa9NZ+n1N3XzTQ9oj2EjtMNZw9Tu6av0/ANPakNbTyqZpDvGFerUiwdqXS3QP04coZtf3Vwfzx6lLf2FGeqYjl1MEw7wdbfepxF7H6wBmRmB/8laBa5uR1WiQlUZ2dp9yO5qfde1evqZMeqwoIdSxd/q1VGTdeLTu6hvTcvDKa2p8tp1k94Zp9uvG6Whw0douzP2UvuHLtI1p5+tzKM3VNHnz+mRjzN14L8HC8tW0C1HibRyPXLbv5W37x7avU8rtW4nZRQX6NNxb+ubJ1/XlLnSZjXfTLM6slpbfHozNWvbRXrpLd16w2gNHbGXNsmqbleqZgYdvcXZrbmtto+qWuZeVQklmCvdcT9t2eIRvfzqk9q20yBla6HeuPZJ7XrTQ9q8R22p4YJBjlmGMpJVeujvw/Vln79oQJstNKjfvRo/e4nKcSB9Wq1ipu64cC993/IsbdctTaXT39Jnk6qUtd1eWr/uy/VmqsKuOl/or4KJr+nALLUM36rb5/1hnbRBVqvtGO5Yxy7dVfzIZ7rxX7dpR32iW+7/SMper3oyQ9lqt16OCp+ZotuuvFsH7Lmndhy8pzbPe1QPvfC0BjUfKKUW6vWnRmvoFW+o0/vXasToRfrLrpto4MAt9dg334iZ9qoJz2jg+oep3TGX6ZW7z1db9wOXhS++W10I1Nf6a9mUr+yqkZsildXHukPt1me+rFnzT9kLNxxu6ek72Kj3l79z8ccXz7NNavKeOWa6zXzxfOvbOt3+8vSUUMUlX422LdJb2SEXvxI2fFZO/9auPXKLpeV12cFuHsfmy2VDwWv/tpweG9nIk4+1bk2r69Z/r/Ns8iLSJeyb0Rdb25zq+J6DhtpuG3SxvU9/1NguUjpjvJ2103o1ZeTakDOfsqKyhXb9Metb+mYn2A8ps0Uf3mX92so67nW1FSzzjalie/2qE6pfXggvVuxt23fvZsffwGbZxXbZoX0sfavT7JuavdNP/mVza9lncwvNLcm3u48bVr2pNL2FnXDWOTZwvVZ2+G3vLds47hZ+ZEdnptvAP1xY++2t6R8+bof2aF6LTbt9z7G3Pq7+mNFH9//Z0tM3tWvHsMG8JqSW2IuX72/NwD+znT1TWGKvnbCHdW7S1Z6qgfTTh8+w9PRN7Oqnq1+08Kxms+zMAza39Ban2Nfh+2KldtvhHa31gL3svfCtokK75BDa+mf7tszMqubY09cdF/bCVMtKEzvxxjE2oaSaYuWCT+3sHdcJde+1+/GWn0jadXtlW4dd/mRfszUkNc/ev+8U69asRs7Uzg674C6bGPboLrIbD2ptbQYeaB+EshP23N/2t5bpA2tfQllab7Oygo/skG2qNya3HXmblScW2uOX7xI2U0tZtsPQvWyDbpvZGU+wr3Cmnbt9unXf5zwDyWkv/Z/1zpZtfe5TVmkl9s6oc61tzeZ+2jXyklE2v8qsbNpLtk/YLE59m9rIq56w2WyKioSqWW/YwX1q2pNeXR9onP5Y3Y/YzbR/9GttfbfeL2xqN5tt/zy8n6VvfoJ9EeRoup239brWc4M/G2yb8eSfLb11P/u/V6v3qJ3cP936Hf5Pq/5yU6H9c7fNrHPXP9h4+FIxx+75M/soqUeWHXrCCbbdOun257s+CDUtn/uS/XGdduH5+sdca8Bd9N04O21Az1o505YH2+M/LOdjd1VF9sg5u1Vv4G/Zw15AhIon2JWnDK3Nm9FuHbvw6Y9tfnT7ag1Gcz98zA7p1KwmbUc79YaPgl1JLvjOLjl+11oa2Z03tEueHx/qZkUf2wED21jrg26ovk9+b2e2TbdNRpxY/aLGwnF21MB0yzzqtkDrhwdPtF5tm9rgfXaznuGljEzb6vQ7bToynSywfyDDW55aK8PP3HB8RIbT7ZSbnreFNXWf9Ma1tml7cMy2A2//NOypff1fp1g/t41qacOue6Fmg3+hHb9bX9NGp9gPNToQEQ37Ycy5tlFNvtOfmWU2/RnbpHcr2+q8Z6uTFX9pJ8HXkVfYbPYGVky1Z64+rFqXQ76udtot79ii6L7BmgKmv3ObDehSLXfDr8O2lNq468+yDSP1HH7eYzZ5TrVhq1wwzk7brGvAu9uBF9ncZMK+eOQY61Uj95v23882HtDbNrvitbAJ/j87rWvdem1ds7cq2iqzyWOvt807UnamHXTn11by6XWW17az/eG/1XvUnrtoF0vvuoc9+WP1RwtfP31f65zewkZ/U72R77m/97D0fjvaqEnUbYl9/uTZtn7AvJrmHifdZzOK6zZ6ml3Uu4Wtu+NIm5Yy++zOY61VTVvzug2z0e9OX/ZlglSZffHCRbZFDUboRv+9jrUnfvjpt88WfXKHZad3s8MvqLbRS74cZTt2SLcRV4KF2ZL3b7C27dvZ/jdX69ObV+1p6R0G2UM1e9RGdEu3nS54svolhYov7E+9utpGO18adHXRxDG294BqPjXttqeE0abLAAAgAElEQVSdfPhu1jPnUHu1oFrgFnz7H9utafWLU3tc/mLA/qPHL7ZuedV5qPc+59xqhRVmicJxdtimbmMybN+LRtnsCrMl4++2rsqxnU691xbXhW1Z1sV3qwGBNMqsNycxMV9TphWF6dv0ll3Up71/j0EqXThbs+Yl1LFbFzVf7mfdU5o3cbIWKk2tu/RUSy1SfmGRmnXspXbNMpWqLFb+9LnKatNJHds0rV6MqFqgqVOrlwzSWnRW3w58gGLZkCxZoMkLk+rVtb0W5k/VorIqtenaQ22a+A6epGZMnaqKKlOrLl2Vu2SeFqe1Uqf2zcOyT3LxXE2dw3Rwrrr06Kam2aai2dM1v6KJunfvoJy0lGbPmKLislx169dVucuMRCo0aSKfyEhTu+5dpfmzVdGkkzq2zlJR4QzNTzRTj67twvfBlsyboTklUofO3ZVH1ZIlmjqlQMmcZurbvbOKZk9TWU4HdWnlS4I17UxVaM7kGaps3kadO7apnY2oLJip6SXV0+5Nuq+jrjWjxPLiuZo5u0ztOndRq2aRKbrKUk2bPkuJjCx16dFDml+g2cWV6tCjl5plSRVL5mlGYelP86lK8woLtLA0Vz16txcvsC6aPVXzK3PVpWtn5aYntaBwphYkmqpH1/Y130JLaurkKdVLaZnZ6ttr2WFv+fxCzSxaouxmrdS1U1sVF05WUaq5unbuUPsttYIZk1RSgeg2Uc91uoZ9elJKiwqnan5VU3Xp0km56aaS+YWaXZRUhx5dlcdGyDqhvGiSZs43ZTVvpx4dWykttUDTpi5QIpWjzl3bq2T+fKW1aq/2eemaP3OqijNaqVvndspUhQqmzlBRekut16N9wH3mtMkqD99iSVePvn1q94iVzZui/IVJvvehbn161i7v11YlWaY5s/K1mMlOD2npat2pu9oCfm2o0oJp01Wc0SRgm5WWVNHsmZpf6dhWaf7MfBWnmqprj/ZKW4LslqpNp25q0zSluTOmqTS7rbp1bK0MJVU0a5YWVmarS4+OymG1KrlEE6cUKi0zV717ddPiwomqaNJNHVtWf7OgLH+G8ssqlNOynTq3bxX2ktqC2Zq8gKVAKbNDL/VqEZGp2npLVlasqfmzlczMVpeuPdSUZqVKNXHyrJAqq2kL9ezSIZJj2cvy/OmaWVYppTVX774da+Xc60zq7LxW6tGpZlY7Wa7CglkqzWyjXp1aKV0JzZsyTaU5LdWlS3tlpso0e1a+irPaq2/Hlvpm1J809KzROvmRiTph3QoVVWSqTfdeaoPeWJUWzM6vI8MpTZ08uVqGM7LUu3fP2mVi9ivNmzlDC8sz1LxDZ3VsAX4pzZ04WWHRO6upuvXsolyZprx5tQ48+h7tf8dLOn9or2UbzZ2lNHcS+bCLvdQ2u1zT82crLa+jurdtxlq25uZPD3zt2rF14An7JqdPmabKJLNyLdS3T4fI4m20iITmz5qmotJ05bXvrE4121TmTZyosACc2URdenUNM92eq6IgXzNKypTVvI26BXtTpcKpU7WkKkvt23VWZWqeSq2lerZtqsX507UgkaFO3bvVLgM7HbZIzMufroVlGWresavaZ5dq6qwiNWvbVR1bZKtkQb4KFqepU9fOystKU9m8AhUuLFO7Hr3VPDtNJfOnqmBJpjp27hruoTt31hQtKqXROeq6TvfIjjwv1fWnqbp266RMq9SsSdPF7o7sZp3Uo/Mym5s9kxbPmaY5i5lqk9p07aM2TX66tJuqWKwpMxYor3UndWybG/qrWfmzld6qi7q0bqpU+UJNKyhSbpvO6twyV2VFBcpfmFKnbl2Vl16qWTNmyZp3Ute2eZJVas60WSrPaqEuXdsEnpYtmKj8BVKTlj3VtXWF8qcsVqs+XWr/JWPx1MmaU5VSs7ad1bl1dT84a8YUlVaAh9RtHfYPV4fy+dM0syjBN6PUpW/vwF9LLFHhtLnKbNdV7Vt531iTIT6tdgTq11Fb7c2JKxAjECMQI/DrEfj8rsO0w3EP69QX5uhfw5b9zt2vp/ZLc5g+fvZWvbloHZ1z5B4rcKZ+Ka04XYxAjEBDRSB21BoqZ+N2xQjECPxiBBZPH693v5iuXgOHaoMOPvfwi7PHCWMEYgRiBFYaArGjttKgjQnHCMQIxAjECMQIxAjECPw+BH662P776MW5YwRiBGIEYgRiBGIEYgRiBOoJgdhRqycgYzIxAjECMQIxAjECMQIxAvWNQOyo1TeiMb0YgRiBGIEYgRiBGIEYgXpCIHbU6gnImEyMQIxAjECMQIxAjECMQH0jEDtq9Y1oTC9GIEYgRiBGIEYgRiBGoJ4QiB21egIyJhMjECMQIxAjECMQIxAjUN8IxI5afSMa04sRiBGIEYgRiBGIEYgRqCcEYketnoCMycQIxAjECMQIxAjECMQI1DcCsaNW34jG9GIEYgRiBGIEYgRiBGIE6gmB2FGrJyBjMjECMQIxAjECMQIxAjEC9Y1A7KjVN6IxvRiBGIEYgRiBGIEYgRiBekIgdtTqCciYTIxAjECMQIxAjECMQIxAfSMQO2r1jWhML0YgRiBGIEYgRiBGIEagnhCIHbV6AjImEyMQIxAjECMQIxAjECNQ3wjEjlp9IxrTixGIEYgRiBGIEYgRiBGoJwRiR62egIzJxAjECMQIxAjECMQIxAjUNwKxo1bfiC6HnpktE7u8+2gc19H7ZTLHN6sNgShPUqmUkslkbV24jz7nQd372sTxRYxAjMDPIrA83UHHoqFumqg+RtPF1ysXAfhQlxfREp1vnu7n0kbzxddLEchcerl2XUWZnZaWFirvgpCevmb5n1VVVaKOmZmZQmg5/NpRJ4403gZP78/j8+pHAB653HFNcNmDx85T0nBN4NrThIj4J0YgRuBnEUC3ONAhnC/XocrKSuXk5IR7bLyny8jICPRIS3ysbz8Lb70+dB5A1G0ecQS3lZzhDYen8XO9VqYBE1uzPJoGDHRUcN2QIMAcGBeMDdcIOfexIK85wgBPvBOgVs6jrKysUEnu4Rd8c6PEGT47r9ec1sQ1iRFYsxFAZ9AlgnfwHodeeSCO+0QiEc7oY6xvjs7KPzv2lOT9FbaQeA6u4Yc/Iw6+up1c+TVsOCWkGeithSFabVdO4lwY1qQmucBSJ+/wXVi5j3b0a1K947pUIwB/mDEj4FBHR/Dwz51snmOUkEHnuXc41ZTi3xiBGIFfgoDbRXTLbWVZWZmaNm0askftP7rGPf2A6+YvKSNO8/sQAHPsovMInhHgF7zgGXHc+6C2bp7fV4PGkzt21FYBrxFODu/wmb6PCjXx3tlHBdlHIquginERvwABd74YwWOI3PhgkDBGxBOys7NrOw4fRPwC8nGSGIEYgRoE0DUOArYRPcI2ckbPXPeigPnzaFx8vWoQgFf0ac4r55HbP+7hD32ax/l51dRw7S5lrd2jtjbBjoASEMzo9PxTTz2lsWPHatddd9Uee+wROnhPFwvxmsVheLhgwQK9+eabeuutt1ReXh54uWTJEvXv318HHXSQunTpooqKitDBYLB8NBnzcs3iZVybNRsBd9AY/IwbN06vvPKK5s+fHxy0Jk2aBDvJ7Bq2dMstt9Tuu++uTp06rdmNauC1w8a5E4ZTNm3aND322GOaPHly2FeILWzTpo222mqr0N81b968gSNSv82LHbX6xXO51BDiaGdNp19YWKhXX31VDzzwQBDgIUOGBIEmHc+j6ZdLNI5cpQjQUTz99NN6/vnnlZeXp/XWW08zZ87U22+/rZKSEu20007q3r27cnNzA++YZYOPdDZxiBGIEfh1CLju4JjNmDFDzz33XNCtAw88UC1atNA333yj9957T++++26wm7vttltYFmW1Iradvw7r35oaHuFUMyglcE8Af5w27OKzzz4blkC33Xbb4LR98cUXgU/wK7aNAa5f9BM7ar8Ipt+eCOF1AfZzcXGx3nnnHX3//ffiTaavvvpKn3/+uTbZZJPgBCDosbH57Zj/1pzwB9ydT86DhQsXBoPDDGivXr105JFHauONN9akSZO0+eabq3379uratWutY4bxqjv1/1vrtLbmAwPHz8/eFsc5eu/Xjn80D+k9TzTe86yqs9dheeX93DPS85xQt/4eH6VZN030WWO4pgPHLiJDzFYPHjw4zGQzQDrqqKPUt29fDRw4MDzHWWOGe4sttggOXGPHblXKB1i7/MIrX/rEcevWrZv22msvYTPnzZun4cOH69tvv9XDDz8ceMXAlkGtB9cfpxfz0ZGpPseO2rJ41PsdwosQcyDAGKGioqIwM/Pdd9+FTv6TTz7R448/rj59+oTRBmlJFwtrvbPjFxEEf4KPFKdMmaL7779fs2bN0plnnhmWW3i26aabaqONNgpp4ZUbKq4Z2TeWgFMKZtG9ecwosjTlBjiKhetCNA4ayDwjcZd/P0PDsSXP6tAL6kI9XC+9TtwTuHd54ZoQbafnp32ennb4zCt5uY+WERI2wh/HwLFlVo1OHRlp1aqVWrdurUGDBunLL78MA965c+cug/3qkI9GyKZaWaXtrhdcgz+6D8+wg2wTYSJi0aJFIQ/36DPBdYWz6wNn15OQKP5R7KitZCGIGg2EjyW0MWPGhOl89qVtuOGGYUTIDBvr9/vtt98yI42VXL2Y/AoQiPKNfWeLFy8OxqhZs2bLGBE3KHTEBDc4GC7vnKO0VlDcWhuNo8HePfABJwwzM4y0ec6cOQEPMGOGhJlkOlswa9mypdq2bRuuSetOXRRHaJPWHSAwhQ73HreqgKOO3qlQJp0N7eZMnXlOXbnHsWjXrl1ok3dgXl+XCWgQRz4C6aDvtDw+PGxkPy4DYIBMsYSG3DAQ4IwMuAyx14k4l5VGBtVqbW5dGcX5QobhDc9KS0tr5Zu9vOwnROZ/+OGHsO+Q5U9mST3Ad/QgDj9FIEblp5jUawwCixHhzFFQUKBRo0aFZTOMOZ0anRbLoC+++GKYbSNdtFOo1wrFxFaIALgTvHP1hBgXHBAOnA346QHjhEGCX+TjmXc0nqYxnNmv98EHH2j69OmhI2Wz98cff6xPP/00LH2A09SpU8O+ImaSmVV2vMGHa3AjneNPx8w1MyYsM+P4kY64VR3qlss9vKZeH374oZh1BYOvv/466DJygvNJumigfbSTeM50aqSjbRMmTAizto1d992pxUlDBujMwdqXQ8HOHWWu/XkU5/h61SDgtg4++OH6i70kMAt6wAEH6KSTTgp7eVlBYs8hek1A3jlc953/4WH8ExCIZ9RWgSC4AFKUCySdO4aHgEFiVIhx50BQXQFWQfXiIpaDAEbHA50FRoc3mHgLbd1111WPHj00ceLEMKWPw83+QpxueOd54aEbLafV0M44GrSfmQ3ayneuMMx0rDhrnMGvQ4cOwamh/bz9xRuyBJ6jHzgr0EIP0BE3+tzjAOHk9ezZM9B2fFc1ltSLQPm0iU3t3qnw1iEvk4AF7UFeXNc5+yxDVB7cLvCcl4uQLx+8+ffCVnUb15TywMTxQ49cPrCVPgigw+/du7eYmXF5WlPq3xjqAX/QBc4E1wWu4Vl0NpS4H3/8MdhL9vyi1x5cD7h3mv4sPlcjEDtqK1kSEDyWfhBoOhve9GQk0bFjx2Bg2CjLaJy3B3m7iVkJDD554rB6EHDj42c6YZakWeoaPXp04N9mm20W+MZM6KGHHhqWsKktHTHOB4H8HA05+ICCjpJlfQYgzAwRwIHns2fPDoYZA43Dxl5MOl5e4fdBCbPKHKRhtgS9wYBzjX7gyLCk6LqD47M6AnWCp+6U4qBSN2bEcM5oA44qjhx7cpg5pI3oM44d8SwTE+/LuNBjw7Xjx5Lw+uuvH8pYHW1c3WU6xvCbZTIcMrBCJp555pmAI/vTeP7Xv/5VvDHPrBqyBl/isGoQcPvmugr2HPAPeeYNT+wBdoCXCrjmhQJeEIFnyDnB6aAn0OIgLg5LEVg91m5p+Q3+CuOB0CF8XPN24HHHHRc2xLIZHaO+7777hlkG1vEx5gh2bHBWvWhEjUTUUDDLcfjhh4dRO8tcdMYEZtVw2HiDidk08tOhwD867dXlTKxK5Fy2aT+yzdIfAw5knRE1nSkjaeSZe2YjcVpw5lg2JB8GnBmkzp07B0eMPUkYcTYjO5boBbRwdKK8WRVtrSsX7hBwdp5TZ+qKw0AdwYB2U1faTlvAB6ef7Q+0nU3xOHq0iwNckJlY96tnVuAtMy8MXI855pjg3PuMJZ39gAEDtP322wdZY5YNjOOw6hFAxt0OULrrPrpw9NFHB91GrtER9qnBt6233jroCvrjDprXnLhVreNe9pp6jh21lcwZjK4LMgaHmTQXRIQX447g8vYgRom42OCsZKasgDx84SC4oeAMD+lUed2cjxPTEcMrHA8cCPjFKBID5Us00IC3GCGntYJi1+pox8dnPMCEAzxwVsGEWTHkGmzAg9E2+9TIwzIoM0/MVoIzceSFDzgvPGcAw4EjAx+g8XuD6yB0otfLo0t9CLQhyku/xsnksy18NoI2IxvQ9HriiHr7cEyhQxpwYaCG4w8mtJ17aDVmZ81xA/d+/fqFTz2Ah/MJmeIeeSDOZW15vIvjVh4CYM8BL5w/rifMnO+5555BB3iGLXS5x34679xGwlOC837l1XrtpBw7aiuZb1HBo6PiiAY3PghuNHh8NC6+XrkIuNMB9tFAPAedMIeHKI88DWcPbnz8vqGeHS+cVmbFeKHAnReecY+z4jNKzH4Qj26AF/Fck5d49qSxLMoyJ3v/MPQ4NVEn+Ldg6fXk7OXDI79eEc2oDpOW+lBv8uJw8ZzOB2eSZV7ax0E8zhf1ZrmTZV3y016uwYXZNX8bDnrkIU1jD2BMqKtzdXEBM7CP6l3dNPH9ykEgijnXfs+ZwesvmXBA3knvOuU0Vk6N116qsaO2mnm3IsFcUfxqrm6DLt4x9/P/amw0nXcs0TzLi4s+bwjXdJTMaGCUWdbDIWF2iJkv/r2BgNOC84Ujx4wyThf7sYijI2b0jcODUwM9Amee4fAxEucZ+7p42Ya434MtjhB19s4hFFgzs+bX0TN1gdccnof64EhSJ9rj+9SYOaO9PKfeLNVxTSAdDiizZu6QMUBjiYhntJe87GVliZg0jTVEdevnMPg9cvBzdONnvwyBX8qn5VFzneLZ76GzPNoNLS521BoaR+P2xAisQgTc6WHWiJkNlip5E4+9VyzpYYD9nhkzljNxtHDi3MnDycFRw9mDBgdbAXD8oMGZZUXiWSbljBP0W4J37NGOgTZQlxXNZPGM4HlJx5INDhj1w/HC4aINOKPck5Y6Ulf25oAH9+5s8pyZNfbikR4Hja0R1IulY8pszI7ab+FtnCdGoKEikGYrsk5reIuj1XajSxyHG9Q1vAlx9WIEGgwCro84GDgw6CROCjNXHDzHUfGlDtdZ0rMsynMcNdddzqTBIfIAHRxCnnl5/uyXnMkfLRdaBOIJXna4qfNDPsqkPqTjYBaMe9rJPXRojzuSXHuZnof0HOAQdTZx8qBPnSjL61mnGvFtjECMQCNEIHbUGiHT4ybHCNQXAjgjHAR3Rrh3xwbng3juPa2nIw9LpTgpzEjhqOHYeHqeRx0jd6h+60yTO3f+cgKzX8zuefglzlHd+nne5Z0pjwO6lIljxzIns4oE8PA2kYbjt7ZteeXHcTECMQINA4Hftn7QMNoetyJGIEbgdyLgzo07V+4MQZZnxBOHMxZ1RIhj5o2PBrOcyfIonzvx9Dg1XDM7RcChcYfQaYcHv+KH8imXGTyWILn32S/IROnXJevtok6elvTEQyd68NzTE087ecmAb62xVEo7cUxJAz3a5vmJ8/i6dYjvYwRiBBonArGjthy+YygxnITo9XKS/iTq16aPEojm5Zrg9aBTcGNOfDTt8u5D5vjnZxGoi/HPJq55WBf3n8sTpR/NF73+ufxrwzNk0meBvF3ufOCA8Iw0xEXlF+eFb6nxwWCuWQbEgcKh8yVBZJ6lQM5Oi2vXhd+CD/XgjUsOXkzgzKzdz9GkDbTNHSrK9bbSJr+GNtdOi3sO8vF256xZs4JjSBo+wcEMIm2lzeTxpVhoNpRAWwnLa5Pj9kvb+mvSe7letuf18y8tsyGnWxEWdbGLYrCiPNE0fu1p/Ux89NrTRc8850Bv6qb/X3mjdBradeyoRThKh+GGFQOKcfFOhHiMabRT8qxuhBAkjL7vMyE9Rtr//4/nfMF98803DxuIyU+cB/J6ucwo8IxlEuK/+eab8JVuNlZvvPHGYWROWtJRvh+e32k2xDO4csCTqELTVnAAN3AHC8c3yiO/BjsCb9uRDlo4C3z1nJke8jPTw4eJWSLzcl0GyEs++EN58N35zwdN+aI6y2t8EJcyKJcy6JhJ63X3OnsdKIfgz8PNGvzj9ae+jrfXnbPjHW0C8eAPXrSXa46o0wIt4jhzeDlROr/2mnLZuO/lMaPmZS6vntAnnsP54nVZXvq6dfUZO8pAtqDBNfLiGLmDtiKsfm0bV2V6x8TxoW20GRx4Rjs5Y8dIQ7wHnhHQJ9JwZnaVj0rzwWDw2GKLLcK/fqCL/sbv8vQaOlHaX331Vfgyfrdu3TRw4MBQJ68jaaHBPfLHOarToVIN8MdlE1zB23lFU+GFY+D9IPEuk2DE4TzzeNI4n+nnsHl8BBybCcbQdHpcO5+hRXCeQY8PRH/22WfhTWl4xjYBXsTx7Qnkdd6Tn7yciSdAo6GG2FGr4SxMdyFCGBBIGM81wsPf2PDWGobDly0QdBcYhJDD76HFvhT+RuPRRx8Nr/JTFOXwIcC99947OGuk90BZfk/HjhHhDTBXivz8/FAvvi1FWoLXGWMPbRdep9kQz2AE1rQVHnDmHpzgG5jj2OLQ8lc8YMUzsOLgmgPMoAUNx/rNN98MfxNFPJ+YoEMfMWJEOPwtRjfuzi+XA68XZfD5Cb6TxVt9OAa89Uc6jBYdmdeFPNBx3sEv4ta24HWOnuHJigJt5r87wQM9YQDCW5Du0JLPaa2Ixm+JB2eWIfm0BrzxD9CujLLgMQG+E8CDNzxpN50QMujx4WIt/HG9wk7BO/j5+uuvh6Vlvj7PQAdeu7y7Q0AcedElAvgjBw888IDeeOONQAvH7OWXX9axxx6rHXbYIdhdh6guv+CrB8pi7yPOHrpGGXT2bieieuj151ldmk6voZzBwWWO9nJNm8HqnXfeCZ+F2W677YKjBZ9IQx7wwlaCpecHE57Bb5wz/qeWv0F8/vnnddBBB+n8888P/SX04bX3p+Qnn+PtdXCe8cke+lcPlBnN6/l4Xvfa8zTEc+yo1XAVgcLQIBRc+xkhfeGFF/TQQw9p2LBh4bMBLkgYXgSMM8JIIB8CRBx5MTT8P91pp50WOoZbbrkl0GLEgcNFOgLCS7l+zzUHggxtvqvE6/vQZJbGy2L5hBAV2hDRwH+8veAPRq7wdMDwCuf4hBNOCJ0iDhcdCXhicKLGx/NhyMlLvvfeey8YGjrTyy67LGBLp0Ma8nNQPnTgDcaEgEOGDPEc3vqX6n1ESDzlwWPSko9raBHP2dvTwNkXmsenPJBrsECnkOuo/K8sDJAHZAHHGwea65UZsAnMpOOkUSbtXNllrsz2RGmjAwT4Rpvo9B977LHw59tnnXVW0D/kngEPabgmIOekd35zZjbt2WefDcvhp5xySliWvummm8Jgi1UIvknnwfWfe2wi9fCXNHiG/vEJGPQRHUX/KYNrdI3gtpq4hsIPx2d5Z9pPO8GHttNuAt89xGa+9tpruvTSS8OKD/wBVzB128Q9154PWugu+z1xilna5zuCyAAOHMHzUDY0OZAB+EU9oEcc9eGTPOuss06tTCAz8M/TOg3oUjb5ODuNUGAD/YkdtQhjYToChgAgoAgPf3XDNDofqmSm5tNPPw1fEsfYusBGSIR9J34PHYSWg86BkTSCjUAzpcsfDjNTh8ASj1CSh3sC93RkCCpLcXQqKAXCT9mkcyeBjoAZJL/3OjTEsysubQUHFJUAzr7kwYwWfwD8+eefa6uttgqOANiSNooRGBJPgOd8JR6cOdNxYFQ4wx9osdcIOcFoEMcZGtCFX3QOyA3LAE6XNAT4hmONjOHELe+Pt2kbtJYnW4FIA/oBR5wXdMN5CEYE2s/z+gzOfxxw+IAcUAb841gZ5VF/2uZOGvJEWfAZuajvMusTr19CC1mGV64n2Ej2HWLXPv744/D3eOgEuuV6Uhdr1xP4scsuuwTdgD/MrrCXj7+RYtmYJVG+uQd2lOe6jy0FR2Zk6eiZycZe8xydRH8J0Kcs8qJ/zPY5/9d2PvwSXtFGby8yyQE22DX6IrD96KOPwlIx+PiEhOtm3TKghQzvvvvuwcay3/PVV1+t1SX/qzicN9JCB+eLgSs85GBGGweNNNhr+IX9JGDPuYdv5EUW4K/bBuTIA/QbcogdtQh3GXUhFAgKjMcI4VThHCFcdP5sgGY2jGl5nDiWIxEc8ninzciPdXoMAgYH4UQQmREjDbQwXBgTZthQFByyPn36aNy4cYEeS6wI/gYbbBAcPJYDcEKgjeFiaQ8DRV0ICPyhhx4a/uyWMhtyqGs43NDDP2bFcKbAHEPBAS9ReowQyyvcu8EGJ2Z2cJo4n3POOQE6+MwoE6eNPWbIxfjx43X33XeHvRQ4cvARnjBLAm8xHIzk6ZRfeumlYHi4xlGkk6GzGTx4cJAZvsZ/8sknh6V05IT6uLGJGqCGykfa6M4KOuEBLDzUNw4uJ8iPd/LEub7XlSuvx+850wb4SnkEb9PKKOv31PO35vVOF1uJTeRfFbB1tA/biS7SuTKowYnjmXfWYAHv2VLCIBb9O/fcc8OAhg7/vvvuC/vTeAaGOIBXXHFFyL/NNtsEfWJbijtdOB3oKnVC/9A59qhx4Dgib6SlfOp03HHHhcGt88X177disSbnA9IGLEAAACAASURBVOu68k996UNwiOELAxiu2V+LPcNW0jeBl+dFV5BlMAVL8nDPAAsbSUCHwRJ5YFl09OjRwQ6zKoFcwBecZPoseDJkyJAwWMPe0q8R379//5COvpc+DttJmWeccUZw7Nx5W5Mxr8+6Ndzdd78SJQTZR/N48dwjhBgEPH6ucZ722Wef8Dc4CDh7XRBspn39zDWv4UMLofbOCMeMw505ykAAcbpwIhDcHXfcsdaoM0ohPcKLEWTvAE4HcewBwLHDMA0aNCjke//994MTQZ0aegBD79wxCBzcs+eIvSwYBBQZZwrHCN7hxGE4GG3DIzoUDjaw4jDzHAPDmf0a11xzTdh3MXLkSB111FFhpozRPqM6eMtSzM477xyMGY4xcoHBuvnmm2uND/ynExo+fHhtfeExM5+vvPJK2IsD75E1eEzAkDXkDsNlkzaCF+2l/WDFwTXBz56+Ps4uK3Q60PcyiKce9R28jZRDmdgC2khoKHymbbSJtjKjhXzTgTNAQT+23XbbMCuCo4bucTC4Re9w3JjJwV6CD/o5duzY4GRBC6eL+zFjxoQBL7TRP2wndhk9oiPncydDhw4Nuvjggw+GDp0BE89Yadh3330D9ug2usiA+LnnntOLL74YHID65vuaSM9lHxnEfnGGd/ylGwNJnCDs2K677howgn/YJvo57COOrvOPM9g6DXfisLPYYZwqdBuc4RlxpGfyAnuMLDDhgM2kLvfff3+ADNsNTQbN7AsmH3SoE/x88sknA8/IT3Adonyvw5qIfX3UKZ5Rq0ERQcYJQnC4duYzo4Kw4BTxzA06jgDCzEEH70YfQYMOxgTDQHqe+4gTGigE8Sz5sIRKHoQSQadsaDHtzMgQAUcwSUeZxEHb68jMDOUw+iGt16M+hGNtoAGOtBkM4RM4+YwieIEVwfmF4QFr0vOMe3AnHzjzMsGoUaNCp3H00UeHzsL3xsAv5IHyOBNP+ZTHKBDeMOsKb9zpgzeUgzwRB1+RGUawdFg8J70H57/fN+QzOHrbo+2Oxtdn++EV5cB/L9fLcjmqz/KcFmUQKNPLRR4oc20POGnondtLdIR7VgNoH9cEt2fYP/DweO65Jh+6w0CHQS/725jVQU/QUdJgVzlzoEPwkTI48zIKOs5AFT0mLc+IQzfJgwPBrB11ZbCGvSQNh/NobefHz9WfNtJWl0NsIDYJZw286EPAkkBa7Bt2Dsw8r/MPXMnLQYAm9KIH8S4P0IVn0CMt+XGiucbxc9vI7B2ywioFdpV8bp+pH4Nr+Mhz8hKoG0dDDrGjFuEuQoygodQIgTMfIaKzZeTHVDszNwgQBgQHzpWdPJ4PYULgmNVhr4aPQnCsmB1D0Dwf5XDvnTm06cAJpGE6GIEnMOpkszvGDMeA+pLPDZg7KSFxI/pxpQUL8AMX3kRibx8jOfDBCHCQhvRgTEcDxvCAToFR2wcffBD2aRDPcgvYb7jhhiEf6ZEFHG9owAPOlEc85fB5D3jvMsKSKeX6c+cV99SF4AaPMj2uIbMPvJ1nnP3a2+y65/f1ca5bBjSXF1cfZUVp1G1ftO3RdGvjNfJKcD3ino6Ve5bQsHssM6IfBOwiukA6dARs0EMO8rHVg71Sb731VpjRGTBgQLCXpCUf6dErdAdHy3XJ9Z5y2Y6A3hOwzyy1ccYZIT9puXbdDQkbwQ+Y037nGdcE5BH7AybsE2O2Ez7AE/obnG7ScmD36GPAEKwJnJkZJR9pSM89qwnQhT55OJMP3sFDHGocNvLQR+KokwaZYSaVbSzuEMJn8lB3aHD4tdfN40KlGthPxsUXX3zx2t4mGBUNde+jz/7XNcz2TpO0CAOePAKEk8U0OweOFaM4lkWZlvVPQTDtz5Qvz6GDkcKxQwgxVjhpf/zjH8MoD6HH2cMIsYTJCAPBhCbLoggmoxnKRVA5M8rkmnjSMLWMgSOO5TgOFK4xBfjtxod2+wicZRL4wEiOMyNEptXZ3Ay/WHb2g5EehoORNrNrLAVgcHD2iGdp2jsH+MDSC3tn4CGYwzNkhHJYtsEwMZInH/zF2WO5Gv7DH2SDqX7ivMNyg+O8+z1y7DTW1LO3dUVtjD5fGdeOi9Pm3q/r8+x0vTy/p4yGFGgPNoiAvqBz2CrkHjvptowBD1tI0D+cAXQRe4rThH5xjW7gWKFLe+yxR3jbHp0k4KxhJ9nDhM6iOzhz2FnKcFuI/kEbHWQWCH2mXNc/bDLLsugn5TU0fgSw6vy4XHu0txlHC4cMjMEFuwbP4An8wEbR19DPuf3EtoI//aXbSRxnnDMwhXfwCT4wACaOb6Mxe0cfx+CZfpIykBVsIvSQGew0sgDvvE/zdNtvv32QHe/jKB++E+q2z9vZEM7xf31GuEhHi1LDeDp+7jljNHDWEAoECIFGAJcXyOMK4LQQZJwHAkYBJSCgIBg1nkGXcn2mBkHEKHFPPNecoc1Ih7ogvDhs5Kcs7kmzorqFQhv4D/izt4IDrOAfnQV4RnlTFwae4UiDJWfunecYEAwPBsb3bSAD3Pu+QejDK3hD4JqyqQN06FDoyOhI4BV8h1fQIR5+cqZcDvLGIUZgTUcAG+Z65rKLvcNmuryjO6Qh+DnaLvKhcy7z5GXmjfzYNPQPnSG4TcSO8hx9Iz/653pFndz5cluJrlI2+kYcBzpJPvSwMQfwwu5xcA1GYPO/cHE7SR745X2X8xEa8AF+Yt/ol+ABfHJ+eNk4ivCZ9PCGeNJzz0Egnjq5M+7lIwcelidf/mxtPseOWoR7CBBChjC40UFguHfhixoVT4fAICCkQSCJ555r8vsz8noa8uCc/VwgDTQQ6rqBeOhRlgfiokrg8Y3pDGYElBc8CGBOvOMFT3juSk06PzAKHh8y1/yQh/xuFEhPOg6unXY0j1/jlNEhEOAPBocOiHqRz2UEXvIcml6O04jPMQJrKgKuC8gy11HZ9Thk3XXF9YV7t5XoAPHeKZOPw3UkagvJR/ByufdyOHv50PRyHTvoEMcRrQf3jTU4DvDCcY9iCjbOH9I4vmDpGBPnfHEceUaaFfVzOHbkgz52z3nv+f0MHcolUFfnFbQpk3uvt6fzvA3lvNQVbSgt+o3tgNEwHqeIawTHhQ/hQFgILlhcexyCEhUW6LjA+DPocdQVWmhwuIPANeV7OVwTh0BSDxdMykfQqS9lce356ipMqHgj+QFvApiBN7jCD8eYZ+DleIIZwfP5PWfinPfkiV7zHJrwicAz5znlQp/Dy4U/PCc91xwuC9H6RGkGwvFPjMAajoB3mK4LrndUG3l2HXC7xNn1zW2a64DrDjRJ4503tIljkEM8do978qNHnDl4Bg3OHKRBV71uXHN4XuLJRyB9Yw1gBg5gA3/gh+NBnNsu8FkeXo4rZ/hNXue384V44rh3mSA9ttDtNPS9PNJwwGvqRzzpOBMoI1rHENlAf2JHrYaxCBBCgEAiHC60rsg8d8FDOEjjwY0MAuRCRH5PTzroeDp/hoAST7nEEcgDDZ6RnmcYJ+J8SROhJXBPPoyO03bBDQka6Q+YgAf4gBv4RHHxa3jIc9ISPF9dXjtPSEf6aDrvFCgDXpLWZcP5Snmk4xk0vHznG/fQ5LnTaKSsi5u9liKAXhCQb2SZe+QZ2ebMQfB0xLsuueyTxuPQHdKgN+gTesHh9IgjDWF5+ua0ouU4HZ5RJvQIXJOusQbwiGLi9hBegD/44Cw5RsRzeB6/d94Q7zaXfH4fpeM8A3O3ncRBg3TUgXxOkz6QAD3S+TPnGfccDTXES58RziJwLkAuCJwRHA+kQYg4E++C5M/9zHOCCw8C70bM4xFQNzbQ8jw8594NU7ROpPE6kZdnXg+euYCHwhvhD1hE8XCsHSfH2+OjZ649HdiDs/MEmn7PGb7zDB4SuPe8XgbpPA/5nf/OJ9KTj2fQcUec5+SLQ4zAmo6A6wf1dL1zmedMnMt51FZ6Pk/LPc+dDveuF8ShO+ikl8HZbR2DWvJyT1geTerAwTOC0+GeI1q3kKAR/YA1GBKwXWABPhwEnju2zqcojsT5vWNMeu/znIbTcczZb+i4w1unTXrsIfduh/2e+hFPgA7X0XzhQQP8iWfUIkx1YUN4ODx4PILrgsEzj/d00TPpos/dqHga7l2YSesjBadPXq4RUITVhdrrRl43Nl7XumV6WY3p7Pg4jrSdOPAESzADu2jn4WmdX9y7keIM/gSMWd1ZTMcemk7H47gnQNfrwL1fk8f57GV4+pAx/okRWMMRcJ2pW02Pd1lHFzxuRWmj8Z4P/XPnwZ0JnnGgw1H9jObnmvJc56HhOsoz102uodWYAzj5NowoDo6zx7lN9Hs/gyvBscaWeVpw9mv6OPbr/lx5pOU5+aI8ogz4zeHlefmN4RzPqK1GLiOIjDpcIbh3IUVgiec5go+ARjehe7XdWPkUs8fH5+Uj4LiCtRsQv+aMwcLgEMDf03PvvHDK8IrnGA6u4xAjECPw+xHApqGLbvegiH6hl8TxzO0k1+gpgWvXV+/YPS153eH7/TWMKTgCbkPdVhLPNTwEc2wmPGCA6zxx+8o9/KRfg5/YXtJyEPyaZ9DknjP3jS007qHEauY2gufCyqvRCH1UCBFKAvEYGV8ac0HnOQc0yAc9V4zV3LQ1uniMCHhxOOYYDDckxHPvgXtwdkNCPGnBm2dxiBGIEag/BNA1dAs9Rc8IPhNDvDsHPENPsYfEE9DH6L3HkTbW1QBRvf+ANzzx/ogC4AfxYI7ddHvpdpT+zPkBD8lP3+W8c1qk8aMx83Bpb1Tv7IsJ/i8EGEkwnc/3ZvwbaC7kfJ2Z78/4RyMRYGbNOCOwng6BJiDoHG6wQmT88xMEwMcxAks3CMSBKw6zO23+jG8E8e8QPOeDj/CKQB46k6jR+UmBcUSMQIzAr0LAO2Z0Cx2kA0f30DOC2z++XM8/EPD9LT7Kin0kkA+7yj1ndBob645BSBT/1BsCzifviyCMDQVvHGznC/3Z119/HT56yweKCfCHtM7jaKXc/hLnthaa0XKi6RvydeyorUbuMtJA6BBCPpzKH9+yF43zo48+GgR87733Dl+KRpj56jOOG0YHp8ydNvIj8BgwV4rV2Kw1tmhwQtHBCcMAhuBFPLgT79874y9QZs2aVcubt99+WwUFBeFPhfniOfzgXyj4cnccYgRiBOoPAfSR4I4VOoqd5MPREyZMCF+6p9Pnf3m/++477bXXXuEfREiHbeQfCFh98IGY06m/GsaUoghgC7Gd8A2bCq/AHCcNO8q/8mBfX3/9dX3++ec64IADwj9LkBZ76//OAg36MehA04PT87PHN6bzUjQaU6vXoLYinDgADz74oB566KHw5XuEFSfu5JNPDoJ+9dVXh3X8/fffXxdddFGoPcJMXhSCwze5M7ohPg4/RQBsMA4+MsewE8fBNTOcnDHwL730kq6//vpgOHbffXftu+++uu+++3TppZcGwvBnt912Czzib05izH+KdxwTI/BbEEBHvbN2+8Y/grz22mtBB/m/ZTpt9HSXXXYJfw91zz33BEeAv6i67rrrwt8VQYeAvsf6+Vs48b/zuPMEn8Db+cXfRo0ZM0Z33XVXcK6xqzhrRx11VJhRO+2000K/h+28/PLLw9+AYYfJ7/aZ0qHJQTmNOTTu1q9mzrtQM9K45ZZbwp++819rjBYxTIxE+KNbjBZ/m4GB+vTTT2tnzzBU06ZNCzNwOBkYI+JIH4efIgDeKLwbBK75c3v+RJ3lTUbj4McyJ38KjcPM30+xDM0fPfNn0RggZjZZ/nzssceCg03eOMQIxAjUDwKup1BzW8Z/8D7xxBNiZhudZMaFpU9mxrGR6Cb/54ndxEFgVYLBFAcOAvrLOQ71jwD8cj5hU7lmSZqJB2wp/+mKs0UfxcoRs2qk4b9AmaQYN26cZs+eXetMw9f8/Pwwg0pt6dcow522+m/Bmk8x/lP2lcwjhIvgQobAcRA4Y2TuvPPO4JydcMIJGjJkSHDIcCBwEPgvT2bWmE2bNGmSxo4dG5w2/vgbx+2OO+4Igs8f2+JAQBNl8TJCQfFPQMBxARscMoz5I488oocffjgYA/B77733gtOMk3zuueeGmTQ6gRdeeCEss+BIn3TSSWG5Zc6cOYEndBAsg0Ifuu40Y4xiPsTCFyOwYgQYNKEn3sGT0vXG9XXy5Ml69dVXw1Inf6SO/mFPx48fHwaq/E/kzjvvrFNPPTXYQGbeWCLlT7+hhcPAzA4zNWwdiXb8Xlaspyvm0fKegBsHzi/YccAvAs7X008/HWwpfDnnnHOCI43zxh41BrtHHnmkDj300LCCwaCYbSbwhv2EDICffPLJsHTK1hKWR5ETeO4ysbw6NeS42FFbydyl43ZnDcEmMAPzxRdfhI5/1KhRYXkTB23TTTcNS5gIOo5C7969g5O2/fbbq127dsFpY/SBciC8jDK//fbb4CxAm70ZxMdGZ8VMhR9ghbF+5pln9NxzzwX+sHQMru+8806YtWRv4H777RdwZ08aozycZ3jUv3//wIuOHTsGA8QIER4zCsSQMOJ3HrgRW3GN4icxAo0XAXSRmWvvgNEj7/Tp2D/66CO9/PLLev7558UgiS0IDF7JR+dO+hEjRujwww8Xg1c6+++//z44BMyQM1PDYBhnj1k1Xgai86cMOn+Cl914ufDrWg72HATnF9cMfOHXG2+8EfjVs2fPsKeXP3lfuHBhsI+sDB1//PHac889A7/o4z744IPgcMNf+jT4BS1WjzbeeOPAL+w2/GIJtTGG2FFbBVzHKOCccUbgMBiMBpkWZqp+6NChYY2ejbFFRUXBEJFuk002CQcGCaFFSHEaNtpoozC13KFDB+2zzz5BaTB2AwYMCMt3q6BJa2URbmDgA0snLDmzzHzWWWeFZRP2pfE2EvjihGHkcb5IS17SOsY4bWyC3WGHHYJTzSiRaX2cPZxqjBOBTiAOMQIxAj9FgE6e4I4aekYcto/BKrPbDETZlM4yGTMw6BgrC+gnnT8rCcza4JS5/WS5c7vttgs2l5m1Qw45JNjRjz/+WOyJwoa6k0b56DY2gSMO/xsBx4oz2ME/7CH4ssqDLcQ28pIHqw443PRVzJbhTO+0005hyZr+jxdEsJVMRkAHe4szzmD4k08+0ZZbbhkmLNyZ9vP/rmXDShG/TLCS+YlBQJiZsUEQGS1wtGzZMhgGRngIMTM8OAgILQYHw4SAX3nllSGemTKm+JnlQUFw3Bg9kp68TOuz5EZZhNjo/JSxdAAcPirDoXJDAw8w/IzgWDJ5/PHH9eGHHwY+MRrHgQZr+AbPwBsjQ6cwaNCg4NRhRKDBCJHZTYwSvIlDjECMwE8RQPc4ojqCDcO5YlaMDr9Tp07hOY4Yusb2BPQPfeQanXvggQeCo7bZZpsFp47l0V133TW8eMBgC2cOB4B9pdGN6jiGBLeZP61hHPO/EGCPIPYRfuFEsw0EjH0fIXYVZwvnmmesFF1zzTWBr/CRCQz6tK233jpsQyEvfGXvNXzB3mKz3SlEPuhLG1uIHbWVzHEMCYKGkWHTOvuhmLpnVo09aMQzq0anjsDSwTMdzMiPvRVsjCUwCmTaGMODcONkcL755pvD/g1mgvbYY49aw7aSm7VWkqdDgB8EDAfT6zhVOMCHHXZYGKWzxIlxIDA7xsiepU2Mzemnnx6cOAw+TjT88Y2xGH0cwMGDB4dnjDDZhwF/4xAjECPwUwTofDnoeLGRBHSRZU5m0eiUeXkAJ41OG6eAN7DRK1Yb6OiZdWH7CFtJ+J4adhFazNag77wF+sorr4R9T1OnTg1LojgFDLoom4E0NoHrOKwYAfDncJ55SvouViLgGwNX+AD+XLOUudVWW4U3cFkGZfWBrTu33XZb7dI0TjR5mTmFFvaSpdObbrop9I/EMzvHRAXl+yDby28s53jpcyVzGkOAcNPp46jx7R/v3DFQjB4RbNbsedWcWTKElxk1nLX27dsH48OSG0KMUcJBY7qfGR82YpKemRzo4NBhsOKwfATgBzjdd999YcOrb2DFaTviiCPCSI5nGAaWpHGq6RSOOeaYYHRwluEDnQejP5awmSH1mU0MC/ssmAnAeWZk6c7h8msUx8YIND4EfNnTO350hDj0h31O7BVlkIS+MVPDwAedYn8TL+5gO7GN6CZOAPesSHDw4sFTTz0VtikwO47NZNkNXWQghjPHPjUGV77iEevo/5bBqKPGNY4zS5s41rzAQR8Ev5iA4GB1AqeaPgns6afgFdhzzXPsL3uFcbiZCYUuLxOw+tSrV68wU8cMG7zHbmOXG2OIHbWVzHUMAAaBtzXZa8ZmdJwzZr9Yi+c5ow7e+EQwMVaMLDBSCDOGh8D0Ms4EM2/sucAwMY08bNiw8G0aHAqeI+w+I7SSm7bWkffOgVEZb3GCL9+lY38EBocOAP7gVDMixGiAN7xi2p40BEbqOGuM9JjaJxx33HHacccdg+M2cOBA9evXL1zzajpOXRxiBGIEliLgM1ic6YDRKfSLFQd0jTgGnH/961+DQ4ZDdcEFF2ibbbapXb5kOZPlUWbNWIXgGkePARQ6iyPALBq6ymw4M2kMltFpVi7Qbw7ss9dnaQ3jqygC2E4wijq09GcsO2MHwZEZNN689S05xx57bLCJTgdeYFt93xn8ps+CNvvZ4CMOOY4c31mD16w8wS+fqIBWY+RVvPTpUvQrzt7hc44KrpMgHsODQCHAnBFqRg2M8Bh58CYTDgMGiKU0OnOuScvnIPhmECNGhJXOHsPCaBDhZkaNM8KLcJMXgWe2jiU5ZuOgQz0wQpy5J/jZ69pQz+BO4AyubozhC7zAWWZ0h6MFhvCAzcvgg+PMDBnPyAu/2CgLtux9wZlzvtOpYHygx3P2akAPHmJ0GBl6gFY0UBeXDz/zPHodTR9fxwisTQhgdwiuK1wj2wR/hg7glKGfLHeiPwxymAHzl3uYRWHwyUyY2zLovPvuu6Ej5415OneW1jiwjegdOgl9ZsqZ1WGwS2AGHJ1moAa9WN8CLAEHeEGAZ9hC512033A7xmCW1SEGqOCJE4yTRr/GgeNGfg54y2QFExDYUJ5xZlBLv8ZzPt1BPCtLzKCxPQW5wMFjUgL+U3bUblbXvOH/xo7aL+QxCh1VagQXBXehRXgIxDElzHMXdAQaAWV9nil93h5EIJmeJ55XyxkFEhBMjAz7KhBO0jA6HD58eFiWe/bZZ8OIk1fSMWgeMDqUx4gUGiwJMA3tAQWkrowuSdfQA7zCQMAPjAAzkLSbPX4sheBI8c8C4E4aRoXw7f333w+jcjYm0wFg7Bk1YpCYteRtMui5MQJX0vACCHHIAS8i0LGw9IkD7Y5zVF6cB8S57MAT7jn8eUPnU9y+hotAVIbRR+wPZ7d1LuvYK57RITOIYumTe/SGwSczZQxWoec6ja4yMLr//vuDTeU5Kw0ssbGUxnIpM+Uc0CHg8DE4Y9CFneTblAzGovVsuNxYccvAGjuG/YoG4h0b8CbQf2CvmCxgIIozheNLX8WEAfaTmU7sKXwlH/zmjBPO99WYpGCSgS8WkIalahw9+jS2+/iKEPSwufSZDJxHjhz5/+zdB7geRdU48BMIPREJvYkUMUoEQZqAAkqXqoAgSBPUD9FPBbGgiAUF/AOKKKAiRUXhA0QEUZSmglKkt9Br6L0E0vb//DY5yeb15nLf23JvMvM8e3ff2ZnTz5kzs7N7a/2ClXGzGTubtM9q1+XRZ5sazeDCiBmJQ/AQgBiQ3xl4JGgMWVCwmqaPlRuPJ83yPMc3K7REb1BXGLUgY++ZZIKxciLGb0YIlxmMFTawFM5k9U0yAp7/r2blzrN9DgVmOhzaZuVCDxLdDOh4TT2RhcRX4mVTsn1nklk6JRcyJCsz8gxABg/6kJzRH9lLkCXb3jwzCwTTCoDAb1lf0Mm9FN5eApcO6TIT5dSHM1qd0dGsn5X1VHibNSXAhrOwZTHRijMf9DsP/qDwFb5kr6cXo/iRVRk+4wUfiZdkTawzSdKfH0oqfArCy0AmqXzbwV+t7Iin+X+SxQP9+GS+eWjrg8kyXwYvfTBpn93OqTeyUlJfZEOHKR+xUHw0nvlYuHb6WrE0ppGxj9XSm6RLgqUvvXqMSTcpb3Ale/b00oOYnFtJ6Mt45jMsYjF9idE+25G05Bn+pF+/WbEMqZLDQcZdk+xUTiqMAvuigM/IFAkBw2HYjlyxQYt6eyUkaJIt/cwwDPIGa4FFgmB/lP9RJ3ETWMz8MoHzjS919lXAJZgZ5M027GXjIGhxzkAIj02dHpv6Vo3n/vqgxz1tXc/KhawcbCDlIvlS59GmFwXI/6tf/Wq9lG7AoDNHysisPvWmr4CSSRmd0KNlfI9m6EBgso/Ca+cSaIFMMRP0BpO9NmixsdanPOBJnaAzAw5Y6EErvLO6rmZlO5wdeWPXjvQntiw2ijvs2bV7YpLikZfVZ58ayk8LmexI1Ni+fWdiqP91zCc8KhNn7Qf1aMxTB77G5yQG8PFVuMDIN0DVSSByXDDh5f/iwDe+8Y06GYAPbbNzIWOyypjkLCbRKZlKqj2NkCCrI3P7rMnRuCa5/vWvf13vL7O3Ol+G22effWr50zX9Ge/YAHtQjGlWzvKFrCZO9z2x8D+WraxK5iVv+qNBYV9ZZlUdztqjdmqvl84MiPEyEIdrhsdoGLgVNCsvVrQkBAJRfiOGEVvhUjiEgZ+hgsFIBRWOYCXNrMNSvrcOzTDSIBlh0iAoOdzjRHkWtCQHVnnMGC0nw+f+rGrETfWSpyMDjgDsNyf32NiM24sbgozkV8JMLmSZDk/mBgL9FLAkWoK9ZXswFAGDXM3u6VI7MncoYEjqLPn7X65HH310TYd9h2DRORz6Nh87JN4aSPlTJDCAJcD+M7bkOeOMs9jIr9JPxC++yPd8ekgi5jMbe+yxRz1RzUmouKqIp5I4viT54mNWcmjwCQAAIABJREFUZqyy8VlbQvThTxnnEp+2rh3wuq942mAvG9xosHKXj9vqBrPhH7IhI3Eo9UcMqS8JsUUA/8nF4oGX2Cw+0Av5ZqETsMRd8c2YKDG2cOHa406rbwmbXeifOPUV/9TDTf8mwZ5UiKEek/rwsRXWpDntLs9Jy6x0LolaF7XJCBihpIgh5cBqj5m3NC3tmhlatbEEz1CtjlnVyr1i+itggaPeIG0Z2Wqamcmpp55af4vGyovlYDMVQUifHMAFrqRBMIKLsWeiIMHzrRqPQT0uEIS0T2foIsuDshnnTRlnkibJohcJNLnat6LkYEC2juyX56wDR5CxgkY/ErH8lIrEmu4l2+SvCDBwWkmTEFoZoG+vsZtVOgQeMOgcnmyD/lxdgLeUIoGBLIH0HbEl4xN62XHWsWer1HzCYy4+Y0uA3+KTvWX8QVGXA7CY5oBDP3vLJGbiJV/kH1Zh7DtLnGKs9mjRN+lwn1+qU8RlEygxWzywAtSkv240G/0hpxwjfNfMXl7yojcJmicMxjn6smXE2JQlbUB/OpGc629s9GLWWWedVU9wJXWeSHi7Pm0DDOOl38Y5BRx6VCdGg/+Rj3yk1pd93mBayHAP3Yk/6ZkVz2UkaEOrBmLGw9ntGbOZlRG6lmhZJZNYeUXZLE/Wb4BOJ0gjZIhpnAxb/zPOOKNuzyEEKx8OdJi1gCGh4wAKB0IHuBnIGCtY6m2EN+vxXF//nXfeuW7LsLWZlQv+HfgkEw5vQ78le/ITlK1uZtAma/USb/J06J9BK2FYfvc4mq4cZpiSMKtrTV0mDLI2QLEZOrKyaQOtZNHKnseiBgp49JFcWw0VzCR46kopEhjoEkh/c1b4S/pQfmbIJMkKGD8Tx9z3HUgxir3zR37KF/gK381Ym37M32w3sBpnb68kgA/b5sGvvIkNt/7q8xpdSZN7eV98trLtyceJJ55Yf/ojn3gMdJn3BX3k5IUAiZknMpJiiRM90JkVNI8yrWqaqNKhgzzJVyH3jKsSNcm0eGc1TSw02RX3bMuRXMMJBrtIPYGTsF2n/u0ttIfN9hIT3U984hP1GJt61jbpcD2rlVl71G5TWxTN0BiHwmAED/UMyQCqGGg9WhQ0GJ+gk2+wuG9pV7802jRI5ywMXJJgkAcfLPclVoIS47UCI6D4GK4EMGcZrjmP/pyp1VksOds7YKOtgCZhFDTxk6Vp1E268v5gPeOF3PFKLnRJF8qOO+5YB3WJbxayUfRzkKuzxC3lLdHzAoKVs/xQJhg2uQpkClwJVx24krWE7UwvBiWPeqwQwAOGt9Q8hpFYmy1aibXSliXtsPk76c06PNNp2m7Wl3ORQG9IgA2mzaU9ZgxRn3Wu+QL79uFSH+XmU1acd9ppp/oxFnqsIHuikL4KFhgOfsT/+C1fSh8Wa+2PMin2CRz+qM4eUUmWI2kCJ/0XPL/hyuK3uG1i7FEqGluL9vjJ+NF6f6D9xhP+yb9ZUibOM+LFdhtJa76wJkb52oDJqDFGYpU6IReyzVjjd+oIbve0NT6Z4NJX0gWPvYUedYuP2qI7k7Xkgc7Inv4zrnoCIYGkd3y4n/eyX5PvWem6JGot2mR0aegMQXG2WpavIx933HH140SrJAKGpdycjenfdAYGBJ4zOO6ZXTBgQYKhMWL9zBos6bonQbNy41V1y80GeSXp4whpzEljnhMWGBIBsyT94c7g5RpeNDln3/pikP9JfpzthbEyKRBYrhd4OitkSldkqNgjYXCQ8PrmD52ARacSaom2QqeCHHxwkDP82rnnTObkbW+bhE2RmKPL6qzE2ixUX6sN2uXGarD0VZI/NGorSKrL+rpR+VMk0IsSyLgDpGu2mPaozrVB1SPN/KajN6KtEvu3anzCYJ+rxdqDk3GI7erP9/igem8YOgz46hXbOKyEsXuFL8LnX0a515x4ZXwEGz5+4pyw7EXlX7aIoFUMzzZJTyYgNbIB/gfNDoUsU2diD77JVMn6jFnGNZNFCauVffK10mkvX+pCP7D1JfuMZ+rJiEytyFntzHbO4pwVNGOdx9To8rhZLDV2gq8OfdmvSatxLgv9mijrb1yTALqPnrSbbDurnUui1tBoOrGsX9bO6c20GIGZIQMxu+DgXhIw47Dy4T4jcwZDScNLI8oA4B6D9qjTK+lplPpyGPgkhZzIoG/zpleSvWreWhJXsx4dDg4gCbBXzeqfGYwgmU6hrwNeRyYRTViD8Rrv+BJIyF7gsGGYLnNFtCO+9MtiYBAADAK+EWSpXbIHFrtwT8CSpJFb6s7//pRsWwFVMjAmbDRlyXtoMnuVrAmMVmvhMvAIlgKagCRh1AduSTc8Ctypb7bj0KaUIoHekkDamHMOypIjq/Rp2+zTZEbSYwLDVq2A8AWDqyImaZ9wxDh+xM/4rOv0Lb+9uCN22TPFf/mzaxMnccyTBX3AkRDwH4eS/gWXAl7izsQFPMmDIlGxZYRf6cOPsg8cTd+tOwzAP+jFUxZ8oBv9Juue2rhPdmSuztad5M0Y46mDzftgqdc+ZQlu6jtl6aydWCjOGq8Sr/ZsxLgpblpBFVvZCjlLvMQ2uJrjUhNf8pJn7eFIfYmFSVO2mRXPJVFr0arB+Kc//Wk9u7A0y5Et25vZCQaW783CBJ98hs9QGQuHaBpZzkbUM0TGKqhYPbEpUkAT+NQzQIM2w/b2pxkIg4dDkmhVTRtwHDMajBk9fM423koGzRYlHGa3aHI/ac222s8qJeUjINgfITj4NAb5daWQLb0YFAQZH7tlF1bT3JOc0xV7kFyTnfaSK0mWmaIVBAe7YEfOGVBS1vSr6EvP9oDoY3+HDdf0buYIp0dJBg+2Jpj69yzgsifBFIyE2xUeS5sigXYkwO6ymEB6rGmTuQHayq84yV/YYO635G8mtWJixhk2zw/Uaevamf0q7pvIioH5AlDaNhrsj+LPJrOePKjTX5zj6yY3kpCkN+FrAzZfcV8RC+1vk0xKCvmvBEIfbZMmfQdDQSfa8ZjjAx6MJfbySW7EEDJ0GHfI2Ydk88mQmIb3LOQIpkMBL+VCp+rFWU8TxCtjmzq0ZKz0eFqSKDFU0ODDuFZa6Qs8OMHTpzmG1h0af3zaw+NPcdn+t3xSxPb0zRXVRpdZ4rJ88LahRgO8139/9rOf1ckN4+LEXt/2tqDNjPYQpXFoz8gYWDp2GjZnUTIgMWaPtqzOmBFI/NSl43iMevDBB9fwBSpJAfgJ19sygl4acmfGnH0M+gIaniSFEkxJJ5wcCe3gONIRB0tQaqhtukv0O8jW6pS9ZeQmUWvu+5qu05QZN7kYBDIQmbl7FOlsQCIjHyfef//949Of/nQd3CRVZEyGgh+9eyuNDg1e6tiHwS1XDtI26Ek/9DZ1Rk9WQ83wJW8SMombAOXREvuz0pZvE2dgRHcOUK38ld9FAt2VAPtlp2zLtYTI97L4hgmEFWHfyvKIy4TSkwY2LFaxybR3MPRX0mbZdvosH7DVI1fSDOz8RkIhFnoz9PDDD6/fEuXLEiv16DJhMXkSn620gZkl4ee5SYc+fNRKIP+yyuMRrSROe/SC34SXcAfaOeklx6QZ/f5riv/gYBwwsSQj8VDSI6n2H1pskyE38qSb1HXGJ7yqp0uH+4qV1Ysuuqh+Gz6fCFlsoHufQPH/WX1OAx0mnakvCWIueIiT2qeMnfO6VcZpUxJz46gVVMml4l7S1dpvsP8uiVpDgx55Cj4GWZm+QXLPPfesg4+ZVg7EHIEhCUIM0JGDpHuMO39rx0AN3pIA/9rJvyYymzDASyi8weIjjvYlMV4OAY6gAQ6H8qg1Z4pNR2yQP90lGhSBUKBj2BxWwskx0NUMoNrOyDmmAzwIfuDdixg+Jkyekir6w1/KpZUNMs8ApQ2Hd9CRNzsle5IjCbWPckqiBHQzUcGKDfhHwl5dp2PBirzpCm4rZgoc6NA+8aTcnR0SRjND/eAQiHyTz2DELt1jC2hiIwaVLAkrf5dzkUBPJZC2ynY93vQ0QJIkyeFfVu49aTBo+i1mGZDZIhtvnluv0+f4iRhppcReMfHRC1pWSti+tw75scdzkgqxWGIBF9/iC2KkbSL8Nv0AXDiUZtxUJ/5pJ0aa/ODJpMzTEvCVJv11xSD4gydyoTeraZJQ8d/EXSyhL18CsLc6H3Nq68i+KZ/kP++JNWAbyzyl8WKAFVX6spBhPDOZhOPzn/98nbTTF9zimv5kK25KEr14l0kxvdFRyn1GorbYQOf48rTDIoatI/rPqqUkag3NclhGxci8NWmGaGWDsTJU53R63Ri1ujzcE6AYsmsDvMHaaoig4Fs9BlYDrRUabSVt9o8xXv0YvyV/CYEEzYqNR5acIPFo53pGBV0MHs0c06vrkjVw8WfwBwN+bXKg129WKB5Tmj2SKdlKuAWJzuRGX2QhASI78pXQSrisGviOj8Ei93kI5gYqZ8mTGT7ZkrdAIjBJ+K0OgAk++QowYPvdqsOsa+pBnT5sx5fZDUbs0iqGwUVwAgfNjlk5WM0KtjlYeWCTDj5kJdekxWAvcbLSJa6lPTfjSvqSvs1rv7U3sHuE6bMN/iWRSQ5/hcPEhL8ZzE2AfFqHfaszQEvODPb8kI/wD4ki2PxGca3ALQbAmX6W963E8GNx2aRaPITT7+wzGPwKX/hNnvGKF4mvsYS+fD+OfMW2lAs540+/1CF5JayUl3vGLY8cfSqFDqzOSZToQPyUGBozLT7kVhtxUHIvPrIXMOjOyiva2EvaBprgSR5qIht/3GODkkyTZW/Ksz2JGn3NqmW23KPWdGLXaeAG12bASaVLshiSdumwfisMJ+85OyRXgo8lYcvBVlwMrgzJwK2PwGAWwtDVM3LGyagldwZmS/8CmZkjuBJJv5Wkw7V7CrjJT94HU8LCOSWMPtgKFyfirGnceNQHjMFS8KrgUbDxmMSSumV+gcQMXEIj2OZqZOo65Z0BgQzz2tlv8hCAnD3uEez0k7iRF32QlyTaAGHPjmTYCoAZo3sGII+xJXJW4jw6ZWOSOQWelLnr5m+0wiPYCnKOZsEz3tCRNCd/zXblukigHQmkDTor7N9g6iwWseH0lbQ3fpHX+qR/sW1t3cs6cE2ArFbzD3EyV2LEJTFKwsRPfELDHioDO/wKWFZt+BC/El/FsYxl2QbePNShBW4+JR74DZYDbLglH15gQKtHd3CIn1myfcJqws82M/uMJgWNYoOJeTN2kEHy7CzJ1Sfr1emrLpNuMjMemQB7PC3WamfV3/43Mc6YxjZsFXJNptqIUfRFh1bijI+SOwkXHBJluJWk3XXWpazBAtNvMdEYCY64S/cm0sbw3BICRtqcPoO5zHYrahRH4QqjcM0g0kBaz+5TchpI3k/FpzG5z6gN6Mccc0z9/JwxmyHajyZxs6mS41ixE4AkEQIfmgQqBuvRgo2W7nEIM4fddtttqjOl8cOvHwdy9tuBXjS6dkaTYnkaLm8m2ivnBQMBCHz9lexT/xgEf1Jv+BQIBPjTTjutTkjtlfHYWhASEDi29tmH3FL3+G+Vm3bkIZkVXAwGArkVT3USX3C1cxbQbZ6WoEnO2YHAZvZoJUCdxzoSSCtwAoyC9o4O9CRNdA4PmrXNfu4r7mddwqoryp8igS5KgH1lyXjinNdsrGl72qb9aeMef8mSg7A2WZ9tTDCshBx77LH1o0YJmc8S2XpiUBcL/baKbYLLtxJG4vUpCYOz+GZi678beHIAr5J+kDT6jQdw1OHXoT5/i49iokewkjUxUkLJVw3+2Ycfpu8nrhrpAPiDF/pQklfXaEZ/xhLtknf3U1765KHOtcfP3g61lcTLUialVsLoy+qmcU5Saz+3RE3y1sRJ3yawkmP68nTHvjVjD/gKerKkXlLe+AEjaVSvGC/R4hGoZM2qHXgSuCz6aq9e/8FaZqsVtXTIdOYc+Dpzuo6Um3XOjIAxgC0ZMCD7eKnB3GM3OBwSM//30bKwAV0dw9XftQKOgd19hsUZBB+zE86gSPSSD+0dDFadIJfBqG485Q86wdOO01m6RqsEBH6H34Ol4BXfqUd049EMXSJEnikTMnZP++ynfd7XNmVIDgICuOSoWFHzaAdsj1QlfmBm0g02GORn5krOgj07EMjMNs0g6VHwF+h8tqBZ0NUsfjvQA77inNfqFTQ68l7W1zfLnyKBNiTABzJ2sGGFTRtY2VXT1xJs2mPeS3vVP++5Zstpo/qKU/yAP3gU5jFj7jXyRrMYafXFNgL9+FfaORwmvgpf5McegXn0JTa2lqZv4RE8/svPwUU7Gt1ziIngeHtREiJhTL/K9nCkXAZS3ERnyoq8lNQrvlNPrjPGaKNftq87NRInbY1JEiErn7ZemPRLlCVEVjsl0rmXFix98oDHUw4ytvpJ9ia8kl84tXfP4Trpcp26yXENTPpR37RNfSTV4rPH33Sbq4TaJVz9B2uZrRI1ikpjZdAUyNEVhkLh7RaGACZ4YJhNeJxpBca/TeHQHnHaY2HjZhN/4kIDA87NrGYlAoUAZvO/YrYHB8dDdxo3YwdTImf2Z7XGvaQnExL0mHlyKDTnPiewGb/Ew6zRvcFQyAG/dCZQWPKWDAkekipykSzZx5U6JhPFWcLqrF+rM4PJVjLIGTjI11thkmYzQqtjgkIGG3D1ESTM8hwGD3U+kCz4w4k+CXi2ry86+KNf0yb9TtvRnA0o2uRvbRylFAm0K4G0LTavGBzZUvrOjOClr7g/I/trttEOTD4lVnrSYKuAwfyoo46qH1+x6aYdN39bbZMkmECZAHnkJpZJ6sRa/tjsCx/8YPBNSZ6EwYEObcUBfDvAhEOstuJjZV6M0MY9kzBJAPmAO5AKXlrjN3k4FDFDG7JwZGleZ13zbOVSMuyFBIenCpK1T37yk/VKGvhNGKlv9Z4qnHfeefV/oshxxj45+kOPNuTe7OPaPfXirja5ogkPW8WHMcs4iT7xVvJHX/mUil1ZMMn2TZ4G2/VslahRTjomhbv22Qr7wihTsqSuIwdkOOq10zdnZBwjB3p9Ob8B3KqaxMhg7eDoNlo6ay8YMDRGxrD8NstkmBIP36QRIOATxDweSPzqlKRTH48zBSH7pQQtxo2e5JljWdFj0P6XmyTGIRjpSw6e8cM90Au+yF8irHg7TPKEH4mQjc6SNsGWHMg89SaY62+5XPJKXvRDpxkcyFWQyL7kL8kyQNCJe2Zv+tN3DhBw0KmzAx7/KoeM8+UGr8JbLbDPDZwZFfQo2oCT9opGRw6k8KABXWzJvew7I9ilvkigVQJsLG2L3ae9mfSwf3UZb5p91aV9pm9lW7ab9shO+WHapkTN4zKrapKmfMRpC4M2+mXSkXjhkSzxHfZussQvvS0v9omRzf1J6NRHQYv/rSvW2VZi8oxOBW2J09YFG+FtbQCfj9u6IN7YT4du/fmcPslPDWgm/0la6IucyC/5wj9+8yBTiZPfeHE/5dzKBt6tglm18skj44v9usZLujAJFY8yzuoPL9j0iRZ9JHhilLHOeCPpTZqzD70raKcrk2Nv8sJHT45sQ9eedrAFcdZWId9zs1BirLUCaMwzucbjYC6zXaLGIBVGxFjsazKIUiSDy2DTqlRGqK92ubrFgNNw3HeP8Voq9sYnoxQQJBGHHnpoPYjrA4/gJEFkqH4zXkmGPW1eEReAfHON4YGh3moZh2Co8KEDPI/7TjrppPq3dmjQhuNpjy5BTEATgDiBvWoeN1ja5xASDG+gDpaCB4kwuv3LEwGVzMnQG7v4JSP8W3lrJuHkkkv57vmmkFUuMtOeTuhakJc8208jYNBXyhHe733ve/VqAFvKZI389AdHEWQkg1ZLBSy6BYeNsJ0ZFfDAceADzdkebXD6DY6Bw+ddrMTOKNjOCE+pLxIgATbG1tgVu+dfitji5Zz0i1ZpsUX32F32Z5diDjju+e2az4Av3vktcdJHciQZEu/U8VXwkha+kDFPDDQxA8vEjC9961vfqmOXx6bgoin9wBktVnbESNsRPK7zoVs88h/3wQfThNbAbnVGwmObiGREnBUvrdDjB90DsZCVBPP000+f+ogYneSQeqDr1DdZq88Y0xFP7kvqrH4qEiGfYvHfdUxYwTB+wZGrWeSpWNHyBQOJtOTJmEumFgUk5xYO9MukUT+/TRBOPPHEOl4eeOCBNU519IuejIH0ZUJudZaerPhJzqy02WtIz8l3TdAg/TPjkWKQMvRGZDcdTDLEeGT9jIPBMfTWwjg4s6VUg+0bFUvjDFeQEujgsblc4GkGEbSkQYPpXv5bKoMvZxOMDO42c6INTM7gnH0lKQKQmYWSAQh8fPntWsLoWnKCD4mNVSlnSZy2g6XQh+Dio4eSWQGbHAQOSVU6fibfZCXY4l8CLTkVePyLLS9vZNLrPj2RET0aRMjdIQGUeFkR8+9SBKqE2ZHdkKVg4RG2QGUgMOtzvFHBHzwCHb2AT4dsES8OdOJTWzamuF9KkUC7EmBbStpVxgJ2xb/YbrZpwmaDbJPd8SExRjxt9Qd9wW4tBlErNZIi/ewL66wYkO33NSGTcFnl8oaopwrHH3987f9JOziu4ebP2vIXccPmdmeHlRn0Z1LJp/mU2OuQPLqHt1yJA1Nf8PEwkAo6yUTigi+0ZrLiN/7ozeNH8sZjR7rpiCf96Uvia6Iseeqs2Gqz++6714kU+7DhH07xUOzNJDgTRrDI1Vgr6UIrvXoKhEa8GSfF5hxn6cAhnov9xkJtJeH0PSuUIRUOB2Fpks14lFQYw+ysULQ+lGhwt89B3xk5XLY1o5LYMCKGrp5BGNwZlyJAuQeWs3rtnB05m4SbcTJE963UMGRLuWYrZh5WczgTgxMsFDASH1wCioJ+fDun07mnvYIewUbJ/tqCLwib4Xzxi1+sl6PrRgP8Dx16C8ks2TX+8kwueOPI6vBNFvRBNn6TFbm779p9fegFLO2091jU6qeA5BV3M2p6E6wEErrRXx1YYDjA85v8E37iTr24D0ez6KudR6T2W8CtPzjuoVkfeNEp6QTP41WPEvRVX0qRQLsSYI/ikRjFjtibAdnqRNpeK8yMbekDJkoGVf7Bz8BU0ua1T79jx671BV9b10rCdZ114JmMeiogYeOLVqpN0lxbqfHWvL5ZwFXwA76YoKRfJp9wuHak7+Y56yUdX/3qV+vJWtKU9NdAZ/KfpNMk3NghDuAhk2Y0kzk5GgMctnP4bJPHkvo3ZddkR7+En7agvzoxEx4xEGx1CnmLSbkCJ2ZJINEjOTamGXvZG/gmBWCKaRJ3MLVzjS71Cvhga+sMnv4OCyT4dm1l1GqribIC3mAts2WilobWjtIEMLMAsw+zM0bPIBJWBoQ8MywHQ2pe6+dgbNo6GJw2ORgzqOyrrXoH40v4eU7Yzgp8StY326nP3/CDDZc6AVBSwtkGQxEQrIYaGDJZwk/yiP+UM17JTh1eycg9damH7Jv68lvbhJO/1TXb0ku2Sbllv6TF79Rd3nOeUUGTvTD59q92SXtea6POkSVhNuvyXjkXCbyRBNhP2me2TbvrzKbYYvqHwVayZKKZCQJY2T/PTVtNHIkzz+mL6TvN39o0J0dgiAkJN2E4Zx0aHenziTfvZ5+MC+4nXHX273pUlxvUMw5kv5l9xkfyhEc0t5bkNduZgErGJbv6dFS0VbJvnpP/1H/CzPvO2jgb45y11c4hdiad7jX16xr9jtQrWElL0po4s74Jg54k1xZBjNXZpiMeB3rdbJmo9UQpjItR9bbiwc3Ej7G5LqVjCZC/IwNFx61KbZFAkcDMkgD/VPpqcOzPGCAeK5n4wJ0JQl/yWCPt5T+tvACfiVYvo5oKLpMqFeTWVzYxFWHjgq6Sv/7E2yChVy47f0bYKyhmHSCMnOI5bCo9DaG7XOovSTP7dA1uSUC6J03yc/RF6Su4M6I1ecnzjNqV+iKBgSIBtmpQTF/JGNlT+jrygf6Mk+J9rgwlb3hCQ2/x2FMZtdOfjprJU1+ON7lqBgdZ5e926O1q27S/jto39dbR/YFeV5Zt2tBQGlvTORm8390xhOwDrqXhLOrzXtb1xrlJN3iJo7W+N3D1JQz0NmlOeaUuejvwJPzUf0dBLnH3Ft9N/hLmYNVX0l/Os54E0iabnHVU17z/RtfpXxKk9D3n9Oumb2jrnjr3e4q7I9qSHvcSl+uO6Omo/0Cqy6QzaeoLeSXsPDf1ldd9gZeeUldN3eB5sJeSqHVRgwwrjcCZwTkymOS9LoKb2gwMswyrdWlcbnYX3lTAM7hIR8lzE1cT/wy6D5hq8qGTdPjURZOf3iSWbJo2ADadOXKPYdLSG3jha+qoCdt1815v4CswigS6I4G0y4wdaZfquxvDEiZ68hp8cdJ+JdtC0ueabXqCszPem74IR9KkT/LbWf+Bco8+mrwkXd3VU/bv7ExXYqRN/sbK3KumrrdlB15z+xA9qXOkfXZG60C+VxK1NrTTNKzmdRpEG6CmNuUkXlf22rFvBHnzE+yewJwKvIOLhN281VFd8/5Au27KpqkHdDbv9SbdKaPER29eKslvL/XHSxh4U5KG3uSvwCoS6I4E2GLTHtko38iBuKerGU2b99KQNwC9+GRATrw5CLfS0h1+OuqTiQz4HSU6HfUZaHXkmEfKDY3JU8q5N+lOfN4K9eKXsc2HbxN/nnsLZ+JLeE27yLrBei6JWhuaS8VnF8HI3jL1rfeyTWdnhuptUomat6W8neL18TTgPHcGo517DDkDKNgJvy+c

A= 360

B= 320

C= 40

D= 120

300

Sort these numbers into distance and displacement categories:

57km               -20m                   8km North         12cm              8mm up                   127km           14 feet             12mNE                22inches           112cm              +8m                   -87 yards

400

What are the vertical and horizontal components of a velocity vector with a magnitude of 75.3 m/s at 27° E of S?

x= 75.3sin27= 34.2 m/s

y= 75.3cos27=67.1 m/s

400

Neil walks to his school which is 1km east away from his house.  He travels  0.5km east before he realizes he forgot his backpack and then walks back home to get it. After picking up his bag he then heads back to school. What distance did he cover?  What was his displacement?

Distance= 2km

Displacement= 1km east

400

What is the distance covered? 

What is the displacement?

Distance= 200m

Displacement= 0m

400

What are the displacements?

A= +7

B= -5

C= +8

D= -4

500

 

F1= x= 50cos30=43.3N

       y= 50sin30= 25N

F2= x= 75cos45=53.0N

       y= 75sin45= 53.0N

F3= x=0

       y=50N

500

Jill sets out from her home to deliver flyers for her yard sale, traveling due east along her street lined with houses. At 0.5 km and 9 minutes later she runs out of flyers and has to retrace her steps back to her house to get more. This takes an additional 9 minutes. After picking up more flyers, she sets out again on the same path, continuing where she left off, and ends up 1.0 km from her house. This third leg of her trip takes 15 minutes. At this point she turns back toward her house, heading west. After 1.75 km and 25 minutes she stops to rest. 

What is the distance and displacement of her trip?

Distance= 3.75km

Displacement=0.75km

500

A pilot wishes to fly his plane to an airport north of his current location. The plane has a speed of 290 m/s. A. If he is confronted by a wind blowing east at 50 m/s, in what direction will he need to head in order to reach the desired destination?


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