Consider the three situations shown below. In each case two small carts are connected by a spring. A constant force F is applied to the leftmost cart in each case. In each situation the springs are compressed so that the distance between the two carts never changes.
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e99yf3H7iQjZpOJgTYlTRrwXCUDjOmbBQtTSbZvsnA6FpvqPvvsk4pet7eOKg8aj9lIkzbLTKSuJk06N82p3qG1D8BQfz4Mf1HmfsonTCyEdcqL/GLTAZlGGZrCc98zswnN0EHwdlHSJsWrmz9oxqPOhPDUaeNJmA7akGtTeZue4Ye87Jqrk8GpLNzVpbLg/54A3K1B2/tvwQ3Z0mlxjfkB2UnkrAAHf3SiUStFfNtDe43unfIf53MLkxplTgDHz64xLlw6psUtq/0ODx91URJoOJGL5k2Ly8k7ZhCzGB20zlsetq17AKBTGrx50ZjS5mRnFtuzDprbGvMw/dwri3UHZ1b0Iu0ZKDr7gvLgvqmN58+0M5tUuG+hJmAD6BbVkHN+bU759re/nf7P/wBfdU4unfLOwzfdazfOHdb/wnslD+eEsje+8Y1TZxTn78ZxT7FgrrFVWdvOiawsJvItV8+TaHd5/jP9vicA09ac+lRfUFMwIANoNQiruRoEgGEPc8CJs2WbAFjjoxXGEX3DCknHsChU79jDptdmPA0t78R52mSE8O+UKh3RAiWfUB3UyjONsV/SyIX3xYfPfe5zyfTDB9aiIuBAXI1oajQz2jdzgzpoApN+8+0UTtm1CfVsdZ29X5lt2QXGtrgus8wyaTusdgOEDT6xkNsp3abnIWPpaKOXX3551zKRr4U5Pq74tDjFJNaN7IwzU+G6BWzUG4q8Iy47Kq0URR3HO1f56RtAyoDIsyjOD87DdbunOf/lX/5l8uPVNy2e2SIN7Jm1DGRkQJa2G9NI67bcbukP+k67o4Sdeuqp6eOheNPunN1BFsrn4B8Dv8OH8Ec242h3g/I+E8L3BGALVDQqFarzaMCI76/DuZGVU6O+BoacFmX3DG0YQNN0gmir0tIwmC1GIZWoU8dpVqOk1XZcIOMXMsnTx7efzkz7BRyOgOSepINGJ87jdLvXCZiKaBqAhTbCts4G+Xu/93spqi/POkUMmOCJH3aYSdrsDNJWLuBrHUDHsyDmCiyYCpRZB3VyGZujDgyQfMaHljQIaUfSixO9LCYGGWRC1mFCMzDIJ8h9mANiQUmc3B5udoJvAyXNU9mQeuMVYCG6qZ6FkVbkrW4NhPqA8PKO/hT8dLoKjwd5cee0vmIgALrSN6CpY/7aBnN9lougM3vlIUzb9Wy2ZebL9GKRD9jGRi3b0QE/mRooDHoGfAMeOQ5rn+8kn9n6vCcA+1oA26694Dwh4ihA2q4phwqn5VqkCzIiE7jFOFtbcwA29eNZoVJofKOQjm4K1mbDGoWfPC5ZMcHkmpCG56cDA0h8c/GjlSrLoKRT6my23LI3Oizd6VUGPZ1BB/DFBnn6tDnNmvbrlCudl0YiDR2jLQrN1+IscNROlM+xi0wfZKJzGhjwauAmB20CLwA0B79efGl/FjyZV5QDgMfswUJaHI+Zz7YoAGSCDJJBXOvEBVZxkI536tDgoY623HLLKVMRECTPgw46KA1muUYMZMmCDOJYT2nrF/qUsuZ5Bw9NV2ENYAYZXwNRZmDMnRMP/PTJTRiy0+e44TkciScO7dSgPopfds4XfoCv3YaUBofzq18DAB4c2WktyICDF2Fpwc7GICNuitLwm+/UE4B18L333jtpVrfddltyRaOt2Dapci040EByMuJqmEwQOn6QBgAwbVkGBv2O/hG/6YqXmUimrLRSi286InLdZpttUufWkUclnYrbn9kGALaJwhcadD7PHHeo7uSLD6BM46SxxAYFWigwysFjWL4AqU6nAwIevOmYQAJAAlyH9djVhk+mLaCMgLKpOT58Vbhfkqc2KH15A4Agh+To5DRc8gjSXoVH+Q4wO/mAuJmdWV0Q+ZAjUAV0Ad7y5lYpLe0wNGPxuOJx2+TxwsQSpOyRt88B9UM0bYOqGY44Zn1mEOrZQG8QM8DEuc3MTmzuxx13XDrF7GMf+1gCQHLIFYJ+8m4Ko92pK+56viID9PV1VzMsMmKGIC/vKW80X/XBC4jZ0OAf/aIpj/ny7BU/7mMYIkjfwTLimlaq8GHIhg2NwSjOxacNAB6Gj0nFoeXqzDSxWBFvsokPyg/NSTpcBAEaDZP2YYCkcZoW6qhMM7QuoALoABUbsf+Bsbq0WAQ8PBuVACCi4RmgaZq0MO6GZjx4NAibIRmEzYyANUDDT3yPjta+7rrrpml0fXAflcfZFN9AGV9jZku35gJoyQ64kx9A9dxAAIDZodUzmTs2wMKgmSpzhDoYZHbRSVbMLrR+9a0PG6yAaygVFA8zCPVvodPmK/xQAtS9NggLtFF8+fqKNjMfqa/DeGgVbEn2/Vs4iIOnBxEYUAC6bJRGybkOvmRjtPclAgMXjagN8A2Zm5mY3tEcdQi2RWBLU2IDBqoW4kxVNXSdljaqM9DUdALn16pXaXlGQxr2Jz4fb3WMH1ovopUDUQDvHtBa9NIZgQe5mN4DCSYAWjEzBVtroSrVJT979nzatEVbXg7qzKFYAJXc1C8TBYAja+aBOCLTOg75WgDTRoatY/Gkb7GXVk6bN9Oh8bIBhxbsufUf7c+5MXiLfIE1DOC9JL2ZOoOdVNvraYIIRgic7dCoplMPSqZ6pp0ajqnbfKDc9t1meU1aTEEffPDBpP1YzNRBabTe6Xw6AZulL/CadeikyF5+IEwD4TkACHUc9uI+JkMdi6FOTU2lJX2g6lQ1wMzub9rMi8DUmA2QDdjMCmhwyaOJmzEwPyiXTtuGWaQjw7PgBVu0ARXQGsj5zQNTNlXmHfKyKEeeTEtmE+Fap96ZIqzDaIds7OpB3x1ltiM+DVcdMbMZMJmxuD0yO3jPVKKdmek60c4ipn4PbJVJXWu/0jErGoWfWVCNXVnsG4ClYsoxrGYCwP0KjS4BswcaJqBlfmCS4P6DABetGLhxO7Mo5WqhxJQU8DFNWIWmGYtnxbwtAuTMLrRwGi4QAP425pj5IBqQhTM8WQwEMAYLWpK4zCXWDmhI85kMRnEIEs1TvZtFkGsMYGQZXkAGYDI1ENI+yZTdXVvR95yIFvbrUeQKNOVP+wb42qB61vbYdSkDeKSwMZFZkOPpYhBmmjJbMxtzuiJexZ+vNBAAz1chzbRya7SmcDQen4rRgA2OOpdOp/HTKoAhoqmwyekwpqGATVizGQex0IbbIotCBgQacfAkz1zLEcaMCH94pRkJD4zdc7OKz/u0xddsTIepwY8WbA2BPGORkUwNogCOiYtZMORs5gAIyVx7IGeaqYG2jdkne26ckiZ9+ahHbYoZiv8xN0emCYOvdqdeo11SDmjLbQ78s7F+8dyXDXi2Fm6u821By9QToJri6XSmpzQU2hJw1nGZKExDhWcaMIvRcWgtw55W1km2Ohubr/zZB3V8GhpboAPfLeCy+7IF64gGAdqdzok//CtToYUSUEdkou7IFhC7B8bcwCzI+XYbbdjUHjCTO5OS8ABY/EF9rBdysOidOpaeOpa+OvTTBtUj8lkv6wzqVr0CZu1N2xRX3RcqADyr2wDgNb0EvDRcHVADZ1qgTbLvWq1mg2OTA7oWZtjevHccaP1w/VEFoqOZ9ppqxo479zofAGCvpLFbpNFhDQy8N/iRK4+4M+mgolHl0UZ8gGv6rr54ubCjkqmBjbzY+L230K0+gaLBzmImOzE7PJBuy6ZuYI1FVr78/IzVI7OHOtbG8MBmzVQRsy0mM8DLwyXWJNqQz2xOo2jAs7j2aJKmfxay2FhdmRQszNBE2IJNX9l5NXiarw4MpGlOFuHYhdsknZGGw/cTb0wN3KPYIHk/WLShvYX/LZAAMPixYARYlKvQQglwPTPAsrFy2bLVmA2VVwSPE8BG1sBXXZOnQdcGHYMarwULZQa8NshCIBu/7c/qmknCZhBgbwZjUGAmA75s1nhENGe2f+6TzBSFigY8q9sAzcIZzGxpANbWVu5ANBEaiKkf0LPo4f68885LwKxDsB/TVCx8tUm0bP6rG2ywQer8fEN1PNNlU2Gd0s8goNPSymhoNCcgYxGpDTtlm2Wa7rTIg5+vWQNbL1lauPTNOGSgNcCRr5kEcwS/XLMN4GiGZGBrS67anYU1i3rStNFEPjZd4M/OWc8NCtoeV0c2YbzFTkgmqEJV1ddGjCKomS0BK+UW2uwuMu3T8HU43gQ0Xh3G9FUnsaHGyWGmjuP6QKrFIIuEOiGQxQt7IYCwMcNg4UcbDoDGK564TxVqlgB/YPZ8xwHETkNnLwBi03ozHAOuejYQaxfIxhaaadvE5dDxqnbE0XqZtQAu/3ftkSZugdAAYGbEJgyc7cLUJgsVAJ4zbYCPtQU3q+Y6p0URO6R0CIsxzBN2G+msTh6jHY2buCHJ2zRU52SzpL2ZFjNL2LFlCgscgIpBolB3CahX3gWAF5nZsAmzvatj7ntMDTRN7YAteJxgx/RlYdUmI/laMKSpq2e8ydsOPIOA+gbEhRZKoGjAC2Ux8h27a2igEtP4aKM0AZS7B3kX0zQaQiyQRBzPgFc9jnSAmam+KxJHeJrPiSeemDQS9jmLXQAO0YyYKpgmdAJuQTTSprzb4FeegMHhM/iyHVtHlCdzA/uljRrkQys3pXVPJigvt2e5XOqyaoNfecsDNcnX+5CVenGfx5kUv0CV7y0zD9Dj8QB8eT+Y1vtf3TurwWyDN0TU8zj41Q5t8mDTtfECH0wiTEzMImzFbL5mRQ5oClNJvf1OUr76gAONZgIVAG6xFmggtDg2TR3U55nYO12BBHurBTKr/KbcOgs3HY02FkgAJltZNGBpRRzABRx0tOhwGq7n4ogLWAGJ+PKOE7d0BPxZqJG3OPjwDF/d+MUjzWZQfsUBTPKm8eIb/7Q4/FpUkrcFG+UxSMSAQR5401kAiLTwSxZARQfuJN9h+bVCT55N8sUbfmnvQJB8Q+YAOeTbJr8GHvVXbw8WMZVR+YNfHi9s+yFfJh4yxWtb/JqpmMWoh7w98HBRJ3jBm3ZHVsBW+3XPM0dZ1GWTfJVR3bYp3yZ+1aP+wTQ3E6gAcIu1EMft6ZB+QAJoufpf5wCQtAGArCG410E0XgQIxREOeNXj6JQ0bXFc/S8t6YiT5xN5S1dYHUI4lMeRx7j4VUZlw1udX2WQtx8Z4U35Uac40hknv73km+c9bn7zOqm3B/Ih2078kjVZTorfPJ9O7bcbv9F+83TGJV95cJtjJ59uKgDcQg1o7Ba0TLl1Gg1fx9AQLT65+h/I0AAAoQ4EYIGQZ96hAEpxNFhpRRzvpC+OvFz9H3GEE168yFsjRjpwxJGv/PPp4Gzit17GtuSb10nIqg35Fn4Xb/PTKV/txY9JrM0DslJHG/BPWYocUGD14KatAb5G1tDqgKKptYUI4ErjBJCeuQI8oOg9IBTXz71n3gmTx5GGtLyXjjzyOAHIQNd7jVwcP/eeeQdUIp/Iuxu/AXAzhd8AReVpku+w/MYgOah8AWw3+Q7LbwySndpD4XdB3xlUvvoJxcgitYOBppOKBjyC9Pm3WmRy1QgAlM6vQ+ocQE1lu/rfc+89y7UtIJtrwN4DytCA8zjyEdYzV/9LK+IA29CAgau8UcTBY2jA4vTDrziAvpPGHnkXfheajqJO5pp8tVX13XZ70FbJqu3224tf6yE2rXCbmw4qADyk1DVAmq/FCI2mUJFAkcDslAAFioucXYaTpmKCGFLi3L2AL82WFkr7o/W4+p+2CJg9EwYBbc9cUcTxTPg8jndNcaQlzYjTT955HHn3E6cp78Jvc90W+c7u9kv7dlwmX+VJUwHgASXOlcYHBtnlAKapvQ5o+hQLboAq7IKeAUxhTd3yxYdOtlpxwlabx5GGtLyXjjzkleeNFzzhTziA6xdxmBMKv83yNTANI988TpvyzdtQU3uYDn61K21S3vX2Owq/7PnacVP7HUW+/fALgJXJNxR9OYTZYlJUTBADStpXHXydwE4fnU2jCcBVcWF31UBz8PQ/e6z3wmmstFj3AbhYkSZwFQ5wanwRpwnso8FG3sIDanE0Pri13HoAACAASURBVOkhnUU+o/Cbg730povfKGMv+Q7Kb7cBbRT5zhV+c8Cty6qf9lCPE4Cbt/mQ1SDtN+LU28Og/Oo3FCxfF7d9fhJUAHgIKTtn15cbjNo6OXBVeWFe8AzFM1fkOVAN80H+rI040u4nncLvgilzLv9+6qTId+62X33CgpzvXuZfck8dd4x/igliCOFGJdFURyGVToNtIu+GJWmOEr9TvoXfBZKZz/LN21Wb7SHvB23Kt19+uZPamDFJ8NWaCgB3Qpsezx295xBsC3EozBGuNF7akimRaRbtimZqSuSZq0bGpGBqG3HEi3TC3JDHkYa0pCkdedTjaHBh6hBXnMg70hbPdDDsyKZwwsrTM+ER3jyTn3Q9D7OGfOt5K1Ob/Cqjssg7eHf1fzf5ijOMfMUZRr7iRLl78Rt10k2+6kY6flFPTe1hEvzW2y/TAL6a5KtOop4G5TfaWlP7HUS+g/Cr/eLTtnznUfOEmDQVE8SIEnc4ti8RqMjYGKARaqAalb3trv73HIAJpxFrAEDG2QjsswgA2lfPNUbnky6Qt6c+gFBY0yVpS0P64ggnDw1WfM+8Q9LxzkEpnnnvPAH79IWTl3389so7Y8D/7NzeO99AeODhvAHlVR6A3I1f4eWrjOLrvDqY52QQAwB+Qy7eoZCVsurY5BXylaa8laOTfA0q4okfg4Z087zlK63IO+oEn8GvOGRN/p3kq0x5nchXPhFH+fErTWVwFkI3+ToDwzkGZOxsDGcv+KKJNMgl2gN+pdOPfMla3vjCrzjKPYx8xWmSL3610ajbfuTbqT008Ut+bfKrbvUfytR0Hc5TAFgtjEjO13W2bXTEvCNr5Dq0ivZcAwIcGifSWDmCO9AEOdnKVw0Aobg6vyMlHbaiU+pwDoJxqI7DS/zvIBjvHWgivPTdO5hdesjBLBtuuGEC3fRghD9O2nL+qzL04tfny3XMKDcQAXo6mGdkQm7koFMrD/Kc3EKjkZd7wAHgxJGOsgIl/0d8HVV4P++lLS4K4JG2dPzcCydv/Akb/Ko3x3d2k6/yGbQMbsBTegYvMncwjQFWeQx4jmr0dYpB6e67706f8wG+0R4cZGRBuB/54kl7IisEiKOM5KTseZ0od8Rxjfabg2sb8o1BJQaDaA+Rd84vRUEdiyPvXu0hb0PKFwOENuAdMhj6pNN0UQHgliTv6D8rpzodoNRAdEpHQtIiNQAnfHkPHNmcAIX96DTMuUo33XRTtcQSS6RBJT+tCzABKxqszkar9vkknSMIqOo0/ZJO5dQtpiEDEZABesDTIIWscgMwg5d8dWonfKkTU1FpqA+DIH4Bs0/tzFTqV77Kqy2a5QBTwEMutGvAC9jJgCzIxODW1H7zgaguX3Ul/UHkawCk5YuTt4cmfn1aifKhL/VL9TaERwCOvJO/g+z32GOPfpNsNVwB4FbFWRIbVgJAgR9mAKUBCgDq0LQgmpdZAo3bwEUTElaHNLDpSDRNn1kCHoXmngTUu08e0dz7aQ8GFW3IQCKOdmQG4lt5Zg+hEWt7/t9rr70mLrQCwBMXecmwSKBIYDolQMtnn0e0/1jrMHuaNBUAnrTES35FAkUCRQIvS6C4oZWmUCRQJFAkME0SKAA8TYIv2RYJFAkUCRQALm2gSKBIoEhgmiRQAHiaBF+yLRIoEigSKABc2kCRQJFAkcA0SaB/j+ZpYrBku7gEuM74AjM/x7lK/Db333//tFFjrpaxV7luuOGGtNOtV7jZ/n7nnXdOG2hmezmG4b8A8DBSm+Y4tm06vf+www5LGxA4ks8V4hxvI8UxxxxT6Zh2ys1Xcvb06173umqZZZZJ/qpzTQ523F144YVpW/t0+ODOBHkWAJ4JtTAgD0DKuQPvf//7046wuQbAtiNffPHFU1tGBxTPnAlu8HFC1+qrrz4nZzt2Mt57773zeudiAeBZ2l1tvbVd15bcuQjAyteLHnnkkRTEYUY53XXXXdXSSy+dDsLJn3/rW9+qvv3tb1fvec978sfV/fffn3ZDOZcjJ+dJyAMA5ucPPPPMM+ncgrXWWisPnu7lbTu0MyhycnjRd7/73cXyzsM03ZvtqOe5aG5yXorzJOYzFQCez7U/C8vuMB3TVgepHH300Wk//yGHHJJOenvhhRcqp4adccYZ1Vvf+tbqAx/4wJQWbZC64oorqueff77ad999ExA6Q+LWW29Nphz3e+6551R4onn44Yer2267rfrwhz+cTkRbbbXVqksvvbQ6//zz06FKBx10UDrQx9d0gbK8zznnnGqllVZKeW+11VYpTyB6ySWXJPA/8MADq5VXXrlaY401ZqH0C8ttS6BsRa6q6ogjjkhHN+qkcUxdLmjHB9a1rPz9pO+BEFC44IIL5qwGvO222yYzRH5SnIN5gNpDDz20SD2xGTvP1R5/sqE9M9M0EeCmeTkFjA3yG9/4RpKhsBFHG4jjC+M0LQe50JB9iipvI/JedtllE7g6TU0bCjv2O97xjqRBm6VIB8nbSWTnnntuteaaazaxOPWMDZy2/q53vWtOasAGvYMPPjh9Dr6XLKaEMsduigZcVdU111yTjkLUmeKouqhnncmBzYWmXwLAzUlW6oO2GnT77bcnLVZd8RwI0OZJ8b73vS8dD0r7dbQkYorYYostEiiefPLJSSP1HMgajK+++uoE6BdddFEKD0A32mij5JGwww47VH4ImN5yyy0pb23H0ZBxmtt+++1X3XfffekoyzPPPHPqPOKnn346LS4qB2CVZ6H5K4ECwFWV7H80FN+EOu200xZrDc6NnasEtABVfg4vDZLNMeywQMLpUWTEHlnXMD0nI0cEIppgPUwb8nPoPX4dHUjrDHJEofyUwVnANCvkqEqEP2e++iGar/CesxVHWo47DA1WmHguDhmJ48zc/Pl1112Xniu7BbOQAR5C8zUgOCMa4d1h+p/97GeTbZlZY5KkzBb3yIom32RbFkZ9q3dlVueFxiOBAsCZXOOA7uzRnL6NLws89thjFc0syBSZjTK0M4tHvmwBXHwdwhW4BJGbxa34OgPvDECj87ZFQGHHHXdMi1v1A9Jpn0G00iCHbDvk2++Tn/xkRRNF+YJafs9+e+ONNyYQ7sR7Hp5Mjj322KlyArMA4JAPmQjzqU99KuXNe4XtePvtt0+gHrxO6qquHnjggVRfDkFfddVVFzGp4MNgY2FSndLo1Tn5+xVqVwIFgDN50q7mCykrMAEQNjz4AkQQ4N1tt90SSPhyxVNPPZVAw3uLSVb/A2CkYWpv4euqq65KSVgAcxC2xae2CL8+QUNj3WSTTaaS9YURi2KIRnfiiScmM0KUT5y4F8b/n/nMZ6bim/EsueSS6aB34C2N0IIjEHttfDKKmQEg0YKFB9QRPgdneQIs6eWDgjTj80dkJv/QjiO/cV5pv5///OfTQAOAafDqCp8IQBtwDRIAmLa+zjrrTGnz4+RtPqZdtiK/XOs6y80331yZEsbv3e9+91TnnmuNg9Zois4jAPjSeo8//vhqs802S65BbKM+BEkbyjVMmhz3rAAb7yxk0RwR4KFZt60tAU7p1kHdp2u4flkoZQIILTd4wU/8PAM0Z599dgJRX8IFqBbu8vDuAWuA0uc+97k0Jbfx5ctf/vIis4UU8eXwwZvBKQaoPO8Ia4YA1IAfc80kSb3E5haLluQVWjs+ADCbOo8SxBRTaHwSKACcyVYHAkb5b9IdJGNnrLeAgQ8m7WyppZZKWuPee++9yKe5hakDqU+6WHgCvKExnn766VMLXONi2ocT1U/967UGAhrocsstl8wTBoxupEz4pv298Y1vTHHrGiqt/9lnn60+8YlPpKQAFJsorwZ55fZyAXhUSINZAdFsTfOlg+oyZBNmivC8vuibIkzoj7Lcc8891RNPPJEGWsDMnY6rXZ3nCbE077IpAPxyleuYG2+8cRr5jf5+pmD77LPPnGwUNEpAYDX+rLPOSh2QXy23IIBy5JFHJl/a0OpyIQhP8wREFsZ8LHHc5AvP6gjYN5HzMWiswgTVgTKeC2PwCa+IeB6mBO590qIhIuG9s0jXRGYOK6ywQvKk8Z67nIUr6Ygb2nAed6ZsQKBs8Kum8QNddRnab85vuR+PBAoAZ3LNO2/2eE7fWmQxDTcdB7qADACzs1pIq4MHzVcH5arFq4C2Jw47YpukLuQfFNPkfjVGO9h8aXkYkodfbnrplo6w+I1FyzDPdOM1BgffI+tEEabT+1Gf4w+vd955Z7LzW0Rkk8ZTLvtR8ynxO0tgoEW4yy+/PHVWB6X0e3gGTYvd0BdrLZDMZJCbb9MudUHDBbYWt3yV2PQzFt3YPF//+tdPtR4dlo1YGKBt8cimiNe+9rXV5ptvXh111FFTYUe9oZ2uv/76UzZItleASBPtRcoFVACwXXLHHXfcYgNJtzT6ySOPL3xT26mnQ4Nm5mHWImNxyI3dtU7eqQ++wuMin6lfccUV02B62WWXpYHXYuOWW26ZZgcOAyo0Xgn0BcAag9VvHdI0nbZjqmL1XCOzKCOMEVulbrfddmmRIRZw2Nos9pjmnHDCCYvZ0MZbxJJ6kwSAFO2WDy3bn3r148HAlmlRzRZb5xoEibPeeuulxTmmBzZSdcorwGp5m4Q34B6ar8UgeeChH9L2pMG3m4kAn9NNlBH9iPmB5qkstjvrO3XyrMn8Uw83yv8WXtW5xWdgqy8bZHNzyijpl7i9JdCXCYKh3rZI/pdshBYk2LloGEZpjV0HoRHZ/WPBJBYwVCgNa5tttqlOPfXUZMNranC9WR1fCBqJRRQDyXwhgyUvCFtAnU3A6wHYxco/OdQ1OCBm8OWPqw4D1Owqq5sqRpWjQeG5555LZy5wNbModscdd/RtFmAWUafOZ8CrdjjdFIMH+VFIEM1e+eo/9uett9667wFnmLIB+FVWWWWRU/WYn9Zdd92Je2cMw/9ciNNTA9YhAacGvOmmmyZ/SQXXuANIacNsicLSmmhPVoFz2mWXXZL7j+2d3HDqq9l52Enff+QjH0kdwHRsvhDwNGg6b5Y2yzXrBz/4QZq6kwHNl3cErS0noMxNzyyHmYDdk/tXuKFFm8jjDHvPDhkuU4OmAVj49+61114D2XPlE/bPNssS/EvT4BdmB/bWTmUMm3LEbesa5dJfKU/OFXFFTE5msbFIGGHbyruks6gEegKwEdqJUexx3HC6Ee3XqiowDg04wluwsdBjOmiXzUwC4HF5OnD459TudCyNfCaRzqdOeD7Qxvjy8ndF6ln9cdXSEUPT9Y5m6ahFdv3Q6FxzoG6r0+JxGJI/zd7AkO/w65WWcohrMZJG3285mBOaNOxYjKvnaxALmXYrY30GUk9nmP+VMWYr6tbCGztzHK3pHc04+AogHiavEqe3BHoCMJ9PDYE21LTSrZE6L5VGzDWJFmVHlMNLctIYA8Cvv/76tPgwyR1AOS+TuPfJoMMPPzw1djuP7NayiETTfPWrX933VHqcvOpkTvg677zzps5NkB8fVeBLwxVGvV155ZWJFe902hwc1C3zVIQxjc0BeZxl6Jb2oDzEgKLN8yu2fbkfsrgGqMgLuZfWTDRpcY/bdddd04FGtF79F+Dm9mb16bAjJ8/RzrWBfgejfuRVwiyUQE8AZv9VId1GwthJFJVohXfDDTdcDGTYGIGQPfSAei4DsAO4yYxGQT5O/jelBFSmxxY0Ee+DNklHYaOvu1B5rvMBzgAaz/D3hje8IW1KCD5yMPH+Va96VQJk74EN7S3S8EwHtaBj6toURlhT7TxOxAPm9ecpkQH/AApl7gcohGEGiAW+pqyYIZhnkPA03E67wpx8hkKLNHiZBVr3ELdeF8wPMeVPEYf4I91O6ZCpOmmSq+dMMz5zpB6jz+YsCKNd4rtTmDy8e/yogyaziXZXbzP1+PP1/54AHBVEw20ilewwF9NS3ymzSGfqrbEecMABi0SJTmgaq0JGJWDC3Uh6M40sqmiUKK40MosrZgB+ZMorxAlbGrxZxrAkD6DCrGDhiekjJ4NoDIpcAqNzitdNfsIB4Vybi7iRfqcw0gZk6smRn/VB3E4xHhQGKLKppxvp93O15sD8FVpopzh4wo8BEjAA1qa2mD8jHwu1tug2kXdOPzO7QRasKS7XXnvtYmUCUHYT6h/yxssghH/txiYaW8WdT1wn5heDwA9/+MP6q8QPGXWTk3roFSYSxo8yGaTVAVNWnTbYYIPUDtTzKHVcT3cu/N8TgBnlrUA32bhCANGB2TltazT95tZSB2AdX2fmTkRLG5V0EivF0p2J1NS5NNiYGutI/ELJli+txUkg6iCUQeVjcAMqFkz5azvIm/1TxwC+3j366KPJHm2h9KWXXhq7yGiBBhptQn52s+EFWAFLtkeHAXFtsyYAEAcl8vRzYA6NML6S0SkdYEFjtRYhHi2VjLqRU9X8+LHn2qz4Qd36R4RxpXX7ygY+nCscC355mG73ykgp4nNtoF1iiSXS+cb6FK8W7w0UZlnWXLS1fDDplvYw77RTyoYdigZZ+drOzMwmb4MAVzvrIHzI1XEut2HynEtxevrm+KwLIAGcnSpSYyJUmjCNFDV5FBC+tLi5qKBRSZ46ucY/0379jPTBs7BsqzwP+Ex3mm10kpdO8L3vfS91AJ2QxmH6zMnfQpQzcnl6vPjii+loRrvYgGC/oNEp307PlUe9OBzdAMMmzMyBL9N0ZQQOeGTS2GmnndK270EHncgfqJOZKxevoFzjNq1GAXwRBh94Rdp4UB4XcEQ7ywFY2MhbW8wH3BxkIu8IL4738u4XgIU3OOuDBhvgRqZ8dh1Qb/ZkoXzttddOg4QBz0E7zAJkk/MTZRz1ajDhjmoThw0cjjDFE99rfDnMiguqGQIgvvjii5PZcVztbtTyTEf8nhqwCtWB+GDaIfOWt7wl8alR6Wh+hO3KrkXLYecMP8coFC3Z3niNT0XVG3KEG+QqDaN9p4FhkLTaDqv8HNzzTk1GGh8QYHZwb9rKdsqGSosdhHQqU1nmBvv5NX7Tetqus23lbSoqHBOC2YLOoHM6iYsTvtlDDhyD5N8UVhmBO23ILjTaJl9xmq58gC5edF7tRLlp6xZ8bFIwE4gZQlP69WfAnD390EMPTXZPZQtbLbMYjRDJJyifCgOQIGsS6sYvVxC0dXLTdsmQ2QRZwLQZyXm/BpIc5PyvfrXR0LDVr3M0AJSw+OiHhNW31Ocpp5ySdqGqY+3G1mHgG59WIlcmEGHVhfblf/3PoOLZqIQfgyXQdbC8/NWZTT0WdNUxLVg4MiIv3+JTfl8mCU14VD7mQvyeAAwoHPVnWmzKY3VYJQJlHYeQczuxDqFB1rcqP/744wnEdbS2PkiIj7Z3YLVVqcpo6mXkjxFfZzQVcwg2WznZ0WqGJUCh47E1hjYpL14oOoYzG3ioIKYAgyg7XXTQmKriw29UUh9AiobNjc0HKAGidkP78Skg7QcgOUPCMZIWbIGntuQ7cAaOQWzhANZGEvFpevniFpMB4AQWBoMgQMBOil+21CDmCPVlkdiAFiScTxuZQfCBDk1dXqbc8sZHXpe+IYgf5Q03R/9TYCLvAObIp9NVuwHWBk3pGXCsJZhR4JO9Fk/aAjMTEKQAKIv64J3i+Ev3bSgr2h2zg3q2oAeIDa7kIy/5+h/PBkGgSzGDE85R5jOuXUa/6FTu+fC8r49yqmzbU2kyppXhTtavgHQCpgxfJtARNdr5QDqb3VzMCzqLDuibYxrwKKRh2xQDUE3fgadZiP9pkDFroZHo5N7T9GgjAI4NUnj1SUvXWXJNfVjedChAZIDZfffdUz7AyWDsp9PSJmmXOiQwARZs1rRCmjEwcdaEMtCIc4Aclq/ZGs9AyWRjGs+NkT++QZXcQq5A30YaZiZ2daTO9VfxALPZCJu3gY2HxCikLak/LpZwQZuSprau7gEum7/2pd+bnRkgmSa5Y5qR0Y6tEUnHQGFNwqA0H6mnDZhQaMFGWucE0CQGOa7OtAfocDvTseYL+JKbmYCOA2BsXHAozKjgG43UNNtKu00tGj7NxyzDtmCyBnTyAq5+tDiaCnBkM6SNALs4kFtYmtawP/HxZDOH3WdAXn4GHvzgQdo0sNC22autB9DODBCAhUZFMx/UHBNymWtXAGrmQK4GODZd4OqeTA3qZOp/90wfwsRswjN1b3GWGUJbGbaOxWOmMbPjK63Ogb42hBf1iheDOW076puZi3lMu2OqEA4/4uNvPlNPE0QIx8hGIzHN4erULxEws4OtqzNp91u//I8SDrCMgzRgnclhNTQkncLpZDYO0HoNmDqhTsvkABA9o4WyEeoYNFAalsFBhwbIAYzD8KyTA33TZBoY7Ue6+An/YC53eHbuBMAAtvKlxfG0sXDLXGFgUL5R+BmmDDMtDrAiB7ModnVaLnMT4GLTNmiRMzuvnzUaShK5qWeLfGYY7PAAzwxUW1FPwxKg5fqGF6DKzCMPda6umSblbbOHQQBWwABar7YKP8RlvjBAK2MbZpFhyzPd8foGYIwS5iDgKw7hm6YUak8COiANQ2e0im66rjOYxrG/WfDwnt0XsRlyW6L96MzsmUxBprQ6ARerNsAOCNN2eF4wJ7CX6mC2s9OKgCvSOeUPXMymTEENBA7AB8r4MuDnNtUUcZ794RvO44Esabb87NW1wdSMhxufM1aYkoAYl1FrIuqSKUrb4CvM9GNQY2sfVabqGJBrS9Z7eO7YIavuDPDSN8ACaYM/10r2frzZKUtRMCAbOHisKFd4ocyz6k3FHQiA56OAZmKZTfU1ZPZc03UdFJiZ6lsIoR2xO9OIuAgBNc8RL4nokO5pVrGFuI2yWuE2ZTZQ66g6rHsd1cKLg5usIeiw7IaAVnhaOS3KCXs0Nzbk+U48LPyAGVspzZLcaLBsqdw6gbTD58mZP7WZD7MFOZpl0JINxurZgN2Gaccir9mw2YtFVqCrHrU/9UjbRezAtF6DrzZHEWPTZ/s1OGjD850KAM/iFqCDhb1NBwTMNIuYwgM4U1J2WFN/iyXehcahI7c9/TNF1eHxAwhowMEPALYbjy3QgqEObI1AOOVwL24b2vgsrtbFWCcPdUWOBimzyjBPOPrVghxNF/iRIVmGN4g2gsRXN22QupWeusKLq3zdq0uucRbrefwYeCkIZm3yx7ewbfHSRnmmM42+FuGmk8GSd2cJaPgAl1ZD22RqoG3SSkztTBFpIeyrwmj0Og/w4ySvw+isbZKORuMG+GyDNC9aGPBgkqC5sRV6TmvHk85qFyX75KAmrjZ5n6lpqSfyc8AVG6qtzGRHi1SfzD5MEf53LzzgtQhsJgQAAWZbpN1JkxkCoFqY197UXyzCsUkzdalrxEzBBGHwNYjgv1BVFQCexa2A6xZzA1uvqSpbq92IbLBh76UVWxgxdTX9i8UbtmDmAPa6NomnBzs0QOB6JF+aEACQp/wBhefs1vgzeHBXoqEDYJsdCi2UgINz1DXfbq5fQM8z7og8SWxHdmVPN/ixEatXtlZeL+ztjtgk9zYIsMqfKWK33XZLGi0emCAAMdBX18CXfzpgtlOT147FN2YzG0oKVdUrD+fQV2hWSoC2GZoITdbqsg7A7muBRkfwvykfGx1AZBcGhjq0hRomARpTW0TTlj+7pe3POiH/TwtttCC2QFcamg7MOwZgMJP41qBwNOVCCyWgfoCuOjalt5hmhsHEBGDZgM101LHZBL9fQOynfWgH/PDD9LQw5eHumDqkqw5pvAbSOHeEfR8/fH9punyUDQzc1fic84jCD21+1AXB4bifWbH62ogxs1gu3NQlYIu3qSm7nx/3MzuOdAQeB8hKNK2FtmmRi/ZkhyONtG0C+LHdVMfnfkYrN3UGuIDEllwd19Sau5qDm+wOjF1jbfM0F9LjHcIHl+eKjx+YLdAubekmW7sKzSg8s/hlRmGhTl1YC2ibeGXwwNDmLP5ZmONKqF5pu9oYv3QLggYMhw8xkfB+AMKFqqoA8BxpBbRO2ib7nNVyncPOJ1N9ZJNDuAmxyTIR0ETHRTQjW3vZo7lO0YJ1Oh1Qx+SeRCPTcU1H+SQbEAp1l4CNN8AtBk6eDeRoik++Bjf2fQuctFQHMhl4x0W0bcBPKzb74U7Iu8YgYUEOONuWzSTGNGUALuC7sDYKAC+Uxch3Gr9GFivPFpjcx+KXBZN4ZmXbL3+PgfqzbnHEFT7IlJ4NFgjTKLl30Yh0Doe36CwWQXztQCdgimjirenZoPyaXgJfGhAtFxjTvk2ndUwLMkwP7JrCsGGTX3hlhFyijN3k0ga/Tfk0PVMffvhUFnmjcfCb132U0YDFn1r9ams235jeG0wNboDO5ggzDkdzGniBcVv8RjrRHrQtm2/sdtWeLMhpdxZZhQXEdtFykcMzmzBzivJMQr51fuWJ55my2FsAONCrhSvAcUYDn1sVTyOgbVr88L+OQFuhAdIMNASdRmMwXUTASRzTSFN54BVxaLY6Pc8H9jVXDUqnDG8I9jYrzBzfaUU6AtIRwhOCrVDnxq+02Yl1iE78CqdjD8qvMuCFZm5aCjDwTx7AmD+oxSP8yJvclB/Fghz5yFf++AjviW7yHZbfbvJVZ/JWH4BG2dQTfsmStqke2+QXyBlA8/YAvCym0joNtDRhcjWYqWPPyIbcab74GSe/TBzKbYDXXi3GaXd4JCtyIVc8hIbe1H4nJV95Wx8x4FsDmW4qANxiDegcbK0qWefRGTRKAOJ/HcO9xgiIdFz3FtNofyiPAxT9+o1D6wytQlrSlA+SDhDTKdx7jrdOebfFL96VG1+uyuweb8oaMvAMP54F73gjH+9yfqUzHfJVlrxOpotfckFkQhZ+eCNT8vReW0ST4Fe7k29Q1K281VO0O/dR353a3ST4xY+Bw1oIV83ppALALUrfgTu03GiMATquSOOKTlN/5h3K42iwfr3iyE98cYWvp+P/yDvyp6f0QQAAIABJREFUGSSODl74LfKNNtR2e6i3+XG332jLZlnOqxjk+NPUuVr8U/yAWxAmLc1KvwrVSIGbSqaFhGai0dLuPHMVjqbgPU1KHD/3EQeY5nGkEXGkIw9x5C+OK4q8xRUnzzsaXx5ntvGblzFklZdxWPnmddKmfAu/i7f5XL7R5odtv4PKN/JhPuJBFAvV0pk0FQAeUeJsXD5CSvPVgU3HgIFKZvvyHEjQYk3/PXMFeqZh3psSBVC698w7YfI40pCW92FXEy/iyBtoa9CRjzh53t4JE3Ei72786iwziV/8j4NfZRxGvgA/6qlJvsPya7CNempqD4XfBX1nWPnqO9YeLATXP2I7Iiz0Hb2YIPoW1eIBLV45CzUW0ACgjqgTIyChA+mUOkt0VM90rgDspjihIdTjaGzSF0enzPMRB9iGBiwfPKCIg8fQ9LxvyrvObwwqM4VfMiHPTvIt/C5od8O2h/kmX+3FYiUXOYcbTZIKAA8pbWB00kknpVVeoIeAI2BwRXHvWn/f9KyNONOZ9zBlLPwuaC+lPUxf34l+R5Gye3OSC3PFBEH6QxBfS+aHAFlapylN2FgBC2D2LDoX0PbMFeVxhPfLnwlTjyMtaUonwKseJ/IWV3i/PJ2mfCJON34jb/kJ35ROng/+I07ht3d7CFkV+S6Q1aTar9ko2bMJOzfDrtJJUQHgASXNx5S3Q/jOmtqrPNM9vr256YAvpme5ucEzUx7gZarfZKsVJ2yJwkYcDVJa3ntmqqiz5nnjBU9NtmVxwpaYx5GGtLzvxm/YXZktAKqf+0nzq4zj4FedDCNfcZhzOsl3WH6VsZt8p4Nf7Srab709jMKvfqBNNrXfUeQ7KL986tmEw6w4IDwMHLyYIAYUmY8J+sQ64z0wCzCKxhd2V50jB0//h81SHOEBmE6r8QFcJE3PpEMbjcYnThPYR4P1XhzhAbV7jS/sxNIHlKPwC6jFn25+o4y95Dsov+qk04A2inznCr+hMGifIatB2kPEyQd/7Vcb1VbzwX+Q9ttJvsPwC3idneGgI21h3FQAeAgJ54eQqCTgGlNvoBkVF89ckedhPvBMPCDcFMczjbMeJ0+nnk+kI16eTx5HfoXfhaahIt/SHqJPMCk6JdA27knR+CF+UiWZYD4OD3e6FE1gthHwRUC6fo1n6UXtj3fd3teCl387SKCTHPPncR9XSbkvND4J2BnnnJRJgq/SFAAesk6NlEA4bEWmUaZWrrRbGmg8M8LStEyJTJuZInQoU7KYzplG+cWzGJWlGS5kqcJeNgN4Jp16HPnKJ+JEx/XMuQGem+o5A8I7V9M9z+3p98xZDc4gwIM4eGIbc/5BaNb98KvM0ohyi0s2IRd5GhCkRS7CiVOXlTDChiz83498I07UST1vZSXDvE5yfqMe8zppkq90TMXlpwzCRBxX/8vHe/fd5Cst9YBn4d2L67lyhwxch5VvXkZptyVfZcvrtpd8ha/XCV7q7WHc/Ko73g/OMp40FRPEiBJ3zKJDpzUkoGUaA9B0Dgt1bMXsW/7XOAG21VYdVRy2JgfTADfEH9EXLBxMI7ywvjTgwBqjtEbrIB5fRnD1v+feO5SFfVY88R12Y9FQg3Y4zxprrJGAAi86N/DPF9DC7gaQdASdM7cb6whOurrxxhsTj734JRedEE94BOLKrMGTFVngVbpkRAbkgjwPu6Ay4kU6nuFdGaQjTdcoE/l5Jrxyu1cnyoGUWd7qBjhKq14nwS8enN7lbI9u8iUrA5l6dCoZfvDpQBqHDalDeTmM3oHzPsvUSb7iyh/AInURXzqRTt4enAGMgt9u8lVe5Za+vMmDXMQhX3KXNlnIkzzr7ddzcYRrQ7798htlxDu++2kP2l3ehrQF8aKNeyeMMjou04cJpoMKALcg9UsvvTR1PKCocwXo6YB22Oi8GoDn3jstSmfw80HFuUoWLHUYIORz6QYSQORUMTJwgpcOr2MZLJx1q2Pr/AABsABMAC1eDBjCAPLoTK7kK4yzcNUD2QIMoOgULieKIRql4xvlJz0DQ9SJAQAg4xO/3JF22mmnGVs9g8pXWzRoAx4DtE8WkY86Ii8DhLN8DThkXG+/TiwjS+Ga5AvYpd+vfPP2II688/aQ8+u9elXP/bQH7UMZ6m1IZQJf6SD1rQ04LtPB9pOmAsCTlnjJr6ME7Mn308EAJZA2GwCUNC8dVOc3q9BxaPwAQUcGKoDUsZeF5p4EAKaZl4Gxn/ZQH+i1H/HuuuuuBMraCwLU7g3QPhIAiCdJBYAnKe2SV5FAkcC0SoALqUGb1ktjZ483kFvrMFPzXcVJUgHgSUq75FUkUCRQJJBJoHhBZMIot0UCRQJFApOUQAHgSUq75FUkUCRQJJBJoABwJoxyWyRQJFAkMEkJFACepLRLXkUCRQJFApkECgBnwii3RQJFAkUCk5RAAeBJSrvkVSRQJFAkkElgwTfAswfldnZIwK4g55aGI/ns4Lo/Lvlnco63CeNjH/tYf5HmaKjzzz+/euGFF5LPamwemEtFVdd2pu21117JJ3cula2fshQ/4H6kNAPDPPbYY2nbrf3tGvFcogAaO9sm+XWCmSjDFVdcMZ01gre5Ws+2nj/33HNpa/RMrINx8lQ04HFKd4xpA6m11lqr+uQnP5m26Y4xq4knbRupMwF8bXq+k3NEPvGJT6SdWs42mGvkHIoDDjhgrhWr7/IUAK6q6tFHH00g1knDePOb35wOJulbqhMK6EwEHxB0AthcIuc8OBAGEHcip7J95zvfmXrtVDnnR6B77rknXdWnQQqR0Ve+8pV0709+boTTxgA+yuN45h1yAlgcV/j1r389nVORXlRV2r5qSyu6++67k/nE/ZprrpmeOWfgq1/9arr3x3kGr33ta6f+73ZjoHUiG3NMnBTXLfxseqdsDsvxm6/UuYXPI4nsvPPO1bPPPpsOgakXWyM566yzqq222qr+atr/Z35wwIjfXCIHr8SxiU3lMl1VH3EMqMN73vve91af+9znqiuuuCJpVNIA4HvssUcaPJ0BcPPNN6cjCU15l1xyycppYk4D22ijjaYAWFq77rprAmhmnmuvvTbFcfqXe6eoObj7+eefT/Z34R3gcvbZZ6f8Dz/88KmT2U444YT0eZttt902HQKjvuRtQHeC3lJLLdVUvMWekYU6nosArH9Zx5ivVAC4qtJxfKZ3q6yySrX99tsv1hZWXnnlxZ6VB9MjgWeeeSaBLwBEOjCi9W666aZTGms8Z8bQwQGlZ/GcBr355ptXP/rRj9LZu/Hc9YwzzlgsDhB0aLfjFsXN877ttttS3g8//PAizw866KDq+uuvX4wng/0WW2yRBotyelsS2bz9U9zQXu7EOt7SSy9d+dxQ/efc1EIzQwIAE/iatl522WXJfHTMMceks4G/9KUvJeBcZ5110nOHbDvCEvgy1xx11FHp+ZVXXplMCl/72tfSUZYOq3/ooYfSu2222SalBbTZJw855JD0XJjvf//7lTjMEVdffXV6Lk3/P/DAA0lA8mTScrShNPAkb1/S9hzPVv2VweHsTuAqNH8lUDTg+Vv3jSVnA3WQeXytwDmqps6hIYokDHDyc+9ov3qYxsRHfGgKTntEQBeAoeWWWy7ZZGmuSyyxRAI5h7RfdNFF1b333pvCmd2EBis8++5HP/rRxD9zALMA2meffSqa7NNPP52+kmABDAnDI0F5TzrppOoDH/hAeu5Q+UceeaS64YYbkllDngDWl1J8soq9mC2YycSB7/I2IMjH2cc060mSgUv9Bqk3snBFeDegKKe6Z8qp1320D+HVfT1MpF2uvSVQADiTkc59ySWXZE+q1DGXX375RZ7N5X90Lq5f7J/snhaxdMrooMoOeNlhH3/88WRnfd/73jf1aZtxysbB64AL4SknnwSK58A37mmwzEt33HFHdd1111U77LBDegc4gyzIBdFUlQ0A5UCVh8njSvPWW29N2i6bc/CFB0BLC77mmmsqMmJ2QGzOQN7aQnyKKvIf15XtGT9PPPFE5VNGygdYyc2nqpTVMwfe09r972stwBjABnnuoHxhENu7NPIwEbZce0ugAPDLMtL4dAraTJAGqsPOJwDW4cghND8LT1b/A4B5KNCMTjzxxIrtE7GR8wKIMCG/tq8ATp2stNJKUx4J8uDdAGARkL744osrpgQEAGnO+A4ShrYcdPzxxyeNGkAh4eXjh5TLgpo2gsRlrvLJHgR85NNEnjeBU4SnTR9xxBFTeTWlMeoz5SA7g6oBzMaOIGW26LjjjjumhUc29nALswmEOUf5lV0aBjMbgMwI0Jve9KbkodFUxsijXDtLoNiAX5aNRmqqaKU8fjfddNO824mlo4UWRzSf/vSnU6cLcKIB0aDC1cuUlnY1CQrPCB9RzD0InnrqqaSNq0M2Yp4QQQGi/o97dldaKwIuF1544RSAChPhgIr3wPKCCy6YCiOuryjkabrPwRZQBcjWw/mfhiyf+ozLu7YJcPqe23777ZfA1zf5jj766GrLLbdM5Tv99NPTIGZmkw9UBlnue/HM1XfaaPRB2kUMTPGsXPuXwGR6Tv/8TGtIi20+6pj/XvOa10wrT9OduSkr31bAqwPSfmmAk3aJ0snjA5nsjjnhDdide+656QOo+QASA0ceHiAJT8un4XUidt0vfOELSfMTZt11101xxJVGnSysATn08Y9/fBFNsx523333TfbgAPv6+zb/l4f6IkPudzbv4NNMohsxxVBCyNAgq9zq3hefC7UjgQLAmRwnDSpZ1jP21ufRzzzzzKRBATaAHCv+42Y6BzkgYuMFm6nFrSZimxUnNDK81sE6j+cT8uzctNwgIGOgYXah/fnJWxjeDOI0Ea1c+3FGB/IVXxSbN9I/2R/lkB5eu4FwaJ9Z1IFv8cVO+8UvfrE655xz0lepzWwOPPDAVB4DET59or1O7NRsvrRjayQ+almoPQksPox3SZttkDZk9Zh7T79k+sNJ3kqzxYhCs0cCAIBd0BdpbWo4+eSTE2DwhzXdHxcBJm5fxx13XNLA5AMM3/72t3fcFBNaXvB07LHHdtVCmQkAaw6AngEbttnVVlttyrwSIOx9TgH2Fu/CK8N7z9mI2ZctVEU49ucwO7DF0ibFbSKDQb7brynMIM/sFLRhhEyDfKDyQx/6UONCmroHvmYBAJv2a0AzCIUJJtIp1+Ek0DcA03pMqyxImfLlZLsmgNVB0CabbJIqNRo2rYTtyOh7yimnTPzTzzmvTfeh+dY7V1PY+fSMnRKo8F212g8QLHgtu+yyaeUcSI2TrMjzYggbc4Bgv3lqd8pgug9AAgR7xReuSRvsFk/4PH28klc9HYBmt5y2FuFjwbOevvgWRV2jL9XD9Pu/+Hixa89WaP7MBgKDqw0jFgLrm0JsbAG+t9xyS1poe/DBB5PiZWffkUce2W/WJVwXCfQFwKZyVpXZSDUen3BGpqfsSbQjIznNwb53mrLKArbsR+EEbwfRdtttl3wkY49+F94m9sqBJzT6cGWaWMYzPCMa0AYbbFDZxsvlDPjSGA3CuVvWuIoBPNVNmCKASLS9fvLEqzZp6zAAngmkLADV4qX+Y3DpVCaLgH7KHWA9TBnEJwsaN/9uCpIfv2a+0RYVN95442STztNnH2cHVu8HH3xw4oUdvN9zLPK0yn2zBHragFU8O5CpkEUQU5Ygz02fTEc0cJ3U1ksVzhH9vPPOi6DJ7rTnnntWL774YlosmUmGfDujrOybshZaKAEzA9oSkxPQ0InRZpttNvYNBNoQTwcLW7Q0P5sjLLT1SwZ/IGczxkwjXgj8bJkFlCvKmF+VHUiSxSjEds8MuPbaayeXQX3WAKBOg/L7eIY3fR4GhJsZz4lRBoNIu1wXSKCnBuzAk8svvzx5BuSrpqZSt99+e0qFFsyOhOw4Mm2kNdNgcnrb295Wrb/++mkbpwNwOIDPBKIljYNM3bg88ZXstBgzjnzbShPg6vw6rs0ZOqFFKxpwnBI2zs5IOzQFH5YMIKbdfF9p8/0AmfIIF6ebDZt3r3gAEDDKq1sZm7w4eqVdfw9cab40V/2SYgSQw5WQZ4RT9eq78tT/O9/5znQ+CjniBQbMxAGtXubZ8n9PADY9cRITwdvmGQSYTU01HtOSnDh1N5ERFehy7wFOq6++el+doimtmf6M7cwgo1GbrpOR6SfNpz4wzaSyAITQdAGujmfTwamnnprYBFDKEXbz8M0dRxlGBXdf0+AjbMtvvwSolckZD6hfHsJMkudDlk3PhSFjwCh9P2GbqN/8m+LGM/ZmA4q258sTNGubLNAKK6yQbMD6tjqNuvdOv7fYahNK8OeaA3WT5hz5lmtvCfQEYLudjHz1BSomBJ0TAHdqZE3Zq2DpSVeDGFX71EjaaKRNvI7yzKIVGZEb25sVZJ2b5rjqqqtO7TSjCc0kssptYLSZgQZqxVs95x1NfTtsBjCrSy5V9fYxE8pksDfoDwLAygaIKAi0xvqCc6dyOU+h3g7JzPOZQOpnmWWWSQvhvEuCmBT9mGqEca5ybGRxAJG6z0GZfMzmIoy4OSBHuuXanwR6ArBFNR1RR8tJRfjFyJi/63avQUvPFCiv2G5xOr3TYLj4MIfMNHKgeNjNopyuTt1iK2cjJwduQRY3LTa1eS4AU0G9zuRvI0U3IlOHf8dspw6+4grD59aUFug0hcnzEEZbwVOddF6D6KDtqJ6O/6VPpjkQhuybwocZIA+f3zuzgb1bPXrOZFAfMINvi8sGL7JBrnyC4+yJCBd8AHfp5fnFu36v4kY6eRzP1bOyR76eKQdQZW4IMtgEgHpvIToOkqdAeBZpiKNctOJYhA2AFkYe6kBd52Qg6uaPnYedb/eLSqqh9IDBSmiuAQnGZYU7kime0/4t1vRDKlxa0q0DRD/x8zAqXP468GwhZdfgueVpqGziiFZstZ6WzP1nmJkBeeiQ4tpObRDICcBzQ4rZS96xIpxnOlkASTzPr/2EycPrsAZyZpk6hX2crbze2ethe/1vTQLw1AGgUzzeOjxzAGETkSXAJQthhAXwTUSh4Pcb4MVuzt6q3Oq0Tg6zMTPqlHc9fP6/ehaPXO+7777FfJ3xqF0xdb300ktTACqetheAm6fpXr3WB+l6G/G/eqoP5PLi7WRma6E9JzLET8Srp5mHnW/3PQFYh2Wsr4MlAOamopGxl1lgi80ZFu3YmQA0d5ecNA6VzCY6qi0UT5zK640hz2+67rnmOf+1mwamQ/hpkKaF3/zmN1PH6hanW3ns8dex7XjSyQxOpuAIEAA7PDExvOtd75ry2+6W5ijv1DUQ4yMO7HjLAA4dlY8vLdsMQFuwuo7/TuDQDx/agvR19G5EvnhzdKQr4FQPdYp68E5bU4Y4KSzCx1VcSkh8xdnCHz9bcs9JeD8+8YA5NMk8TK97WiavJDsUDQ74MiMhX2kyG1GaaLoGdSA8TlJvDvqxS44pg9sa1zp1abAnF7M+bc6Mddz8jLOsbafdE4DtXOPlYCOGlXBTGETLML0CwATvXuNXAVxpVIoOn5MGEoegAO9RR0KdYrfddsuzmDH3tqICuzopMzkh/Ptig87D5cq3v4Yl2q2T3MiDb6eOaWYQ9j6ad9jrhbEIY1dZbJ4ZNt9O8ZQNUAAJgGMHJZMFTdG0VTuJM3jxAAwtWtLeewFoU57aI8CkBGiv3QjwA0iLS/i0W62b1uydML6Woizi5G038g7Alrdw9Vlj8CS+n3Yg3TytCNPpakAzWyAr/cu2bIva0gJ2sSbCe8EGCzNOx2CaDXXip1Ne/Tw3mFqQ32WXXZIvMaXKbj8y0QYNQJQ1M16DkwGXbX5c7a4fnmdSmJ4ADBj4gZ522mlp9A8AVgi2S7ZMfrSAxNZUjYnmq2Hp4Dmxfzo20E4aGvNcJuAD8ML2RS60Ew1R5zjssMNS8XN5DiuPAF92SB2ThuF7Z07wMggANGcV6BxmK2yTOqUjBT1vszMAHuVUdqBKDuqdFmT3lMNddEiDDcDSdsjIBh9gbXCwYh9y60cmprc0U+Ul57zdASXP/IARwhOvHs/wyx+XJowifNy7egc0Anz5vMchTdwveQOZ9YmbU6SV500rdZi8cxjUS5gs8nhN9/IGvpQY/fHJJ59MJhH9iPnKTNX6ioGOqUee5G2hG5lhqOe2QBg/6okP89Zbb51s5Z45ClQZ4xxmi3V8mQMf9H0zIuWum8iayj3XnzUbtGqljtGWEGnBOen8nLWNgjq2qeWdd965SCcQXsOx0UHDBRT9ri7nec2mew2fZguMmAFMvdgF7RDUSAFvG+BL85GmGYhzXWkfXMZMcdniLCLpfOpGxzCjAX40UZ1B3NDI25AvzU5HdGShsvMZ9fkezv86nDyBBRu4FXcd0VRV27CiblAwkIvbLwFUg4s2ZYVe/kEGGFq1GZn0g8RheqCp5QMQnqTl5z4IcPH6ICuDaLRfICQNz+u+3vJm/2SrDfOcdE3PhZd+rjVHXk1X+ZEZLdwUn5ylD4ABoDqlbRpY2YXlS+4Gem1RmxMHMLdB+Df7NdvyCS+DGxs8G7Bdc8rpmfrW7slOfzCwKgNFbJA6boPnmZjGKw+nevQgDcah20ZXC27uNeCcVK6G6BfaRLzXwFWKRQxTXxrgXCfy0Lk0PAMUgAGGpmx1+QwjC1/zZfuTJo3ImQ3MDeqIHzYTDwDGgyk/Ujc0Uyvd999/f/qsDncr4J1razrpsD9gJ1+aNsDFpwFcnftfW9B5mSDIgTYsPA1Wu2K7xIt7IG7w6IfEAagGn7xjA3v54sG26iBgzC0LMBscARaSLzk5iCeOlvRcvcX2eceVAuEgeftasryjbsmPbdv6xO67777IIVTKDqCctyteN6JB4sVgbVZJazZgOcPXYq12RmY8V6RrYDUo+B9QG3gBnrwcJ0A2BpNh61c8pPx8itl1tTHtDhAbEGAEsEVMcWRngNAPrE/wPbZGok7wwmXTJ57wPd/oFT/O1YUepWfbNd0y5dPY+yUdQGdis6prCf2mUcItKgGLGqZyFtR0MnVDq6CF2FbNzsk9D9jqNDQPnd1MBfCIz0dVhxZGZx7VZxX4yIvtkcYVIMru71tobJfAg+kKbwZ2zwzmeKYxWcyh6QEMgOaLHPOZ9DUzT4MrzdaME6gz6fgBVIBngDP79A44MkN5R/s0GEvHLNQsCVAP0O0XE79BXJ2qQ32bcmGwcp6EPGnGtHMDv8V47Q0QG5yZxMQHvNqLwcnAGO6Yi2U2xx/0tAHn5TeF9RuUjGymIoXak4AOZLpHQ2LDZKv3TIOn1dEydQ7A7FAkdkIdhWZiYwK7HHurzmBzCPupRZNRCPjqWEwIQJgrnLysytOSaL8Wc/ENGGhQyIcrbWH3ReH9998/dUxT2/DgGIWn2R6XzGiWBioDl8GWfd9zgAqQDba0W/Jj/zagqVPxgCJtm4zZ2Gme6mgUArLSA7IUKld58brRDtU3Uxizk3o2wJutCWtGAwukwfylLLx/QrMeha/ZGLcvG/BsLNhc51kn07B1LpoQn1JTPbZGph7ahk7LwsQ2aJrHHEAT0ZEBNKDWYaRFMwWSo/xo00CcZkPToYkBUZ0V8DMzMEHRcK3cAxBaFAABCsrhysXKYNKGjXy2twMmLHIFWKbxPEmAmzpW12YRtEczB8dasvkySzjfgXwNgDRjM1bAqH5GqWNxtRULgupHHtqZw9qt78jHQiuzDrOEI0vNvrQzgwew1SaUS7tjvlEu5ZuPNJAGPB8FNFPLrEGb6nGnouUy7wA4HSIWfHQMjZtWbHEGwGnwOrCOqzNaVKWV0FbaIABqmzIbJLMCLZy9VSfUeQ0aeGSXDM1YxwTQwurcBgb2Tp4H850spiLeIjRYJgbgp47ZzoEYGzACuuzFbNgGOW0E2PkZoLURs482iCeH9mYmhQf1rR5p5OzCTF0GYW3NjIgJxeBhMVEdG5TtEfCBz/lMBYBnee0DNdps7AZkUqDx6qg6h0P0HRFKoxRG47fgpNPQVHVWabRF8gktSdrAQp74YYvkAcNWrcPihz1Sp8Q3fmhvBgbpFFooAVow2ZCR+ibP0Bq5fPE88r/FLOYJMyPTerI36JqNjGp6WMjNgi9By4/dXh7Slqf6NICy7RowmCYMFsBZGdRzlKPNdpfzNpvuiwliNtVWA686JK3DdNBCDFODhg7AQjuyMm3KZ1HEQptp4qGHHpqmprTTNu1v8gUOpqO0WtPRGCSYRUxB2Sppv7RiHRY/7ME6JtDGp3IVWigBAEdmwA3gmrnQbA1wPB980YI7GpOD+idTWq9FWvZ/oE3+bZE2gxc8bLXVVknjdm9wZ0LS5izEWv9Rz2Zc2oF2R/tldlLf851KK5/lLYB7X2iLbLymrDoh04MrzYfWYZoKkNl/gbQFE4shANCmgLYIgDJn2IQBAGwG0NEMEjqm/FHYhXVadmFTVAf2+/yRaTQPikILJcCLwaBmwZWHA/mqU2Ymz9W9TRHMTAZV7YAbnI1SZM8kYed<br)
Question 2
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 />
Which of the following statements must be true regarding
the compression of the spring in each case? Assume
the springs are identical.
1.Compression A = Compression B = Compression C
2.B = C < A
3.A < B = C
4.A < B < C
5.B < A < C
6.C < A < B
7.A < C < B
8.None of the above
9.Cannot be determined"