MECÂNICA DOS SÓLIDOS
Um suporte rígido é sustentado por um pino em A e pelo cabo BC, a carga que está posicionada no ponto B provoca um deslocamento de 20 mm do ponto B para baixo. De acordo com solicitação mostrada na figura qual é (aproximadamente) a deformação normal do cabo BC?
0,7014 mm/mm
0,6154 mm/mm
0,5063 mm/mm
0,8023 mm/mm
0,0099 mm/mm
A hélice de uma embarcação foi feita com aço A-36, ela é movimentada por um eixo que tem o comprimento L = 2,5 m (medida da hélice até o mancal de encosto). O eixo é vazado e tem um diâmetro externo de 50 cm e espessura de 8 cm, determine a contração axial do eixo quando a hélice exercer uma força F igual a 25 kN sobre o eixo. Dado: E = 200 GPa.
![](data:image/png;base64,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)
- 0,5324 mm
- 0,0029 mm
- 0,0005 mm
- 0,0788 mm
- 0,0564 mm
Uma material fibroelástico submetido a tração tem o comportamento demonstrado no diagrama tensão-deformação da figura abaixo. Esse material compõe a pele e os músculos dos seres humanos, determine o módulo de elasticidade das fibras e estime os seus módulos de tenacidade e resiliência.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAVcAAACmCAYAAABuiMwQAAAgAElEQVR4Ae19TXAcyZXeq/4FSA5nhiPLsjwb3vUAXHkCs6ujh5B9UDjCArgRmsviuBO+AHsyMOGYG08K3sYOkXY4QsTFMT7oQF24EUsiFGEfbAcpRexhVyuYs2ZjvLZ3VzMajUaaEQn0b5W/72Vld1WzG0A3uoGqxkuyUFVZmVmZX1V9/fLly5dBhCAWDAFDwBAwBCaKQGGipVlhhoAhYAgYAoqAkau9CIaAIWAITAEBI9cpgGpFGgKGgCFQMghGQKDdEFVQB4F0pITjQCIcF6POCIVYUkPAEMgyAsVicSLVM3IdBcZCkXSqOYog1RBHUSBSiKwDMAqMltYQOA8IGCuM/JRJrkqrmtNMLUYG0DIYAucCgVyT685GIAEkyGD5tuzhce1sLMttHowV9uT2cq8s2bsty0FfebiXQHZloATrNj0d8c+HuFdBCqj3hyPmtOSGgCGQDwTGItcNEtoh2/L4DHd81EB+N3dvSQ1mug+WtmQR9VndXZPrC8cvIply7/bbsiUo7+GmHF4EZNUP/4MsF0pShJqgjPsWCiDKwh/LTrLAQ49fk82Hodx/4x35o9tGr4dCZRcNgZwiMBa53gGhce6BbrVbcg3/btV6cQ83D6eniWC1sCkPYyJcuRPf+0hiHHbnHXlvS+TW+4cTq5NVUUZIZcCb8t1aW1rAIQxBlOvbcn0kghVZefe7Iu+8NwIpD6u/xRsChkDWEBiLXEdpRLfrrpLuRo9IfLf79kZKCt5Iin876Wu++8/7791eTuUL+rvwUBRoN99L2LHqYGDdd+7J9rUjpF7WF5Lq8r8fLGmSKN+Un8qT+PKHqJ+TaCnVcoOKoT/ra5tyA6T8J8k2D6ygRRoChkDeEJgquZJYV+VBV8qt3dqV1RTJPZKtx291r0cP1mV7NSZgktnqbkIirqHT/lhqMcILmw97+SA9QoCWrUVP3iTWRdla6t1bVQcp5u49qp1723Jt7fpwdQDrsrglb9wP5eG/fq2X8ZCj11A/SrR+q1FIXXxedbDybbTZ2PUQJO2SIZBPBKZHriCkm9tQF7y70kVmYfOGrD/qEaRQnZC4LouvI2ZXngwclFqAnvKO9ErrFqsHC9fXkDcOe/fl7qN02SvvQn2xfXPogNfS1WGqjB3ZALEuPYjkeysHsL2CpUBUxHAW1AE4LqiKAANUf/SO/OjNNfmDIdz72h+sQbIdEK7+E3nzp09sYGsANBZlCOQZgemRq6ICyXQxOfi1KttDybMPRuhU31dptJc/PVDW1+0HAT5KFbEkKb5cuCpLqev+ZE+e7F6T1xf9eXLP+qPO124JfwOCoO7sXJVcfyz/5mpFikV2+RflnTfuSwidb49bY4sAVQkgzSLIN1m0HRsChsBMIzBlcl2XB37gq7t/KMcd70p1/bXf/3YseUKaDBbl7lqtpxrQgbXks+qTgPeegNYHhQW5uvRIHnt9Q1+S9QdUR8AaQdUZgAs6XGeN9U/l3z3BjK123PX/XlKm3pE/BuGyfl4tEEIvMFBy7bufnRoChsBsIDA9coXkycGa1ZSek9Km14seASAGs9KSaiK9EuU1WUvYXe3dv9uTXBeuy9o1SJ3v9UaKdmAO8Gj9xlBi3x2oi6BES3XEA6gzQLAb/xWV8OTK+jib10TN3OGHTzC09aasJXQEH/7p3cGS65MP5EdvXE1IvM+VZhGGgCGQQwRK06wzTaQeqKF/4i7rGGRKnA49XHlLllYXJYCJlA/r0Hs6qRdmWA8eSwCVg798bX29p3PF0NTmQ4iiGNSioKkBXfvaw6R06UuFSdRb67J6877sbQ4zxVqRO9EDcOmqBD/9t1L7T0fABiuAh/c/gCqgIO/Et3kT9Rskue78ybasf/t7vcrYkSFgCMwEAoE5y+ZzpJrhprxeO0pl8QxqiDIGtCrSLDSkGBalRP3ruPL/h7RC+EBuhN8bOlA3E2+ZNcIQyBECnCA1iTAuLUzi3hkqY0VgTCBbb7tptMMqFsETVhgUpEPVqxSwnewh7LwHufa77xqxDgPc4g2BHCNg5Bo/vIXN9xMDV9N+os6S4PpPvyv/ebNnXzDtu1r5hoAhcHoImFpgBKwj+G3tQFoNOesLnrEKIX25FqAWOJYWeYQ7WVJDwBA4KwQmpRY4YmTmrJqXzftGUAWQRrlRLWDBEDAEDIFhCIxFrt52s1QqSafT0bnzw25w3PhAhT/MfgpgNxpwBhRJLIDXqR6JRZwN1cEFRDXkQDrhvDJdBWNMnQ4GmIolpbwAA00+tJG2gJlURWzNgncSWJAKXbIiUGtKHWohXk0gaOMeGKRi6FAiLTFPKEEbMmsRN7JgCBgChsAxEOgx1zESTzNJBHaNAjJnC1vYJdfkPcFv0u4gHYgxLFRBgpGUyXetjlSLyFP/AtxblCYYs62lCM5I0SBIEDZ+BrS4Iskyaukm2JN82yBxbmBQlIfc2MizZPMWlnfhTCxHxeRzlunPmMaCIWAIGAJpBMbSuU5Dck1Xq3dGj1I+eCmZ95+UXsSXbXtDwBAwBIjApLilx1yGqyFgCBgChsDEEDBynRiUVpAhYAgYAj0EjFx7WNiRIWAIGAITQ8DIdWJQWkGGgCFgCPQQMHLtYWFHhoAhYAhMDAEj14lBaQUZAoaAIdBDwMi1h4UdGQKGgCEwMQSMXCcGpRVkCBgChkAPASPXHhZ2ZAgYAobAxBAwcp0YlFaQIWAIGAI9BIxce1jYkSFgCBgCE0NgLHKln6hiiKxwelKUfYk6n6hzlHYnkHorkGdhHauiBtJpYp5u8zNp4riJa0H4qQTcNyL5XJ7C+1VdDoID+Sx4in0g+xHyoyT6S6XPlHab7ld6gS7/6NrFO2DpXbEjQyBfCLTwjvv3HA4+8G3AXwa8vsEpHDa4BeKG78Ht89U2q61DYCzHLdMGjwQadkIpwxNV0olCG3ECt4F4D+EJUF1WTbsqVr4hMBUE2hAiKNlQjCC59oLGqHCBi3TB5tLw2MKpIJDknJPccCx/rie54XHz6nuVeumQUwkVV+xFOy6Mli6jCDhijSsHKZZBKRaH3PuN7zrdCtsrrxDl6k8myZWcSleDER23pgJlWr5piI8yWfVUbe3EEBiGAJ23R1QNIEEnVoM5SiWRtvGWk14ZQ2/EpNaxNHhahv05GwRO/MR2NvDogw0sTt0Le7eXtTtP8Vq35f5VVffk9nJ8jWn6rofkULxPIVceSAWncaXW1YIhkG8E3DvMN9y/5aRQOncv4/0ug3b95hYXyndrz2PtT0SuJNHV7X7Y9uT+3SV5APEz0q3mVlXd6NHvzsaibC09GHq9iMUA2i0sZF3qLdfSfxc7NwQMAUMgywiMTa4k1sW7a1Kr3ZJrqRYuyObDO7LSjVuQ62tIsftE9jRuR+6BkNff8imQ/sa6yPa9rvTrBFYsvcJ1XRIBMq6E6E5xsIvEzRUJaFHAFQooITPOgiGQCwR0WSPIquy5ocIlvLolvMdFvvMQLIImtnZRCp2KhDCa4fvt33d/nIt2nuNKjqe43NlwxPpwUxb2bh8JX+3xI5GlG7LAlHtPZBd0vLaYyLb4OmLuyhOw7woS4T2SAsRXXbYqkaxYmEuc2aEhcL4QILlayA8Co5MriDVYFXT7QazHaKdTHawjvZdUj5EpTmKS6PGxspTnA4EidWYIrVZLqlUs0mkhswiMrBbYe7KLxmzLKrsz3Ba35FF8vnzbdfy7raWEuyVyq5ZUE3SvDj2g5KrLWfPAgiFgCHQRoBrMiLULR6YPRpZcFzYfCoTWXoBaYHnxsdyI0gSqOtktDmw9TOhfkW3hqiyBjh/XeBwXU3uMmCW5EZ/TSqBRb0i1nK5evdGWUsX9cneaTdW1zs/Pq961Xq/LpUuXevWyI0Mg4whAlaqWAhwpoGUArWAwrxGzFOfk805bPm6U5OsXewIGhZlSqSQHBwe6z3jzzn310uw1IThonrW6e0tqA1UHK/IWxq9W7+3InRWqCmCWdZMjXA+6JBxiYOrChfnnLPtKpYLOzoLeX0qwg61UoOyHHoo2sSTWJgi3XC5PqBVWjCEwXQRo50pidRusa0CoRdhwhwVMhcU7/fnnjVQF/LvOPVVmJFsL2UVgZLXA0U1x1gDyaEsW8fBVdaD7ZfFag5U7MM/aXY2vwSwLxlq1Oz2dLA2syaL9Ole+imXUuFIMhbon/4LxHjw2Yj366ViKbCDQDGDLug9ZtdWRZ9KUAiwDih3IOtjv418DOtWDT6pKvL7GfM9pGXPx4kUjVg9KhveZ9C1AnRLJky8TpVIf+GLxnL/cvGbBEMgzAm72FVUBobSCMqa54r3H9rQzJ39dL8gbl3vvOI/43nPzgkWe257luk+KW3rMleXWWt0MAUPAEMgZApkkVyrtKaFO6hckZ8/EqnseEIDmC445pc1xLLjp5I4TZOicqIJ3Pym1ngc4ZrGNY5Eruybe1yq76jzvD41GQ+PZxefGwLT+mOcsw5uWUGfqyySpcnCKmwVDYBYRCOCrtQEiVXKFv2NHrhipRf8f6thU6CkHUtF2knEETmwtQFIkaZIQKW2SICl5cnCJ537QiTgkB52Yx+uOmI7B73lMwmY5FgyBmUQAjImvBVxK00IMZuEYHxGOA/kYsshvzWSjz1ejxpJckxCRVD2RMp7mUYzjlpRqSayeTEmcPGfg3m/Jc5bJ9BYMgVlEgAsN0BagBGet9J5JC5liUISVa1F+6T6Ngc1OfjcDE1hkZhCYmGiYlDpJrAyMS8b7VvO6J87kdZ/P5/XpbW8IzBoCXCWJnjIiijf4XIoQMkKQK+hWvv6C+37Y5t4RBVtzTkRM8hJOLLnmpaFWT0MgSwjoKEWzIE2IsL/hV4jeXAcEWz9Eas1S/a0uRyNg5Ho0RpbCEJg4ArDWRpmx2KqlY3AL+0++mPitrMAzQmBiaoEzqr/d1hDIJQK6ukDgZBvf9aeRwO+85M9y2SyrdAIBk1wTYNihIXBaCBTgAbtThoVNMcDAFgI4lZJrMjx9bpmj5FU7zjoCRq5Zf0JWv5lEIKS5QDsS+GjBYBaaiMGsp30thR8XCzlGwNQCOX54VvX8IhBE8J2BiQRqWENyLZTkVWzJMG8O3pJw5O7YJNfcPTKr8EwgoI6JqGV15gEtSK7J8BmWQE7HJK/acR4QMHLNw1OyOs4cAtrjD1ugVpArvsLf9LWwAp1sMUz7c+1LYqcZR8DINeMPyKo3mwioOw6dFODa57xv9NqqE2pUZ9CLs6N8IWDkmq/nZbWdFQT45WE0i//qGNT6+wki/fl+S8r0kMXNQm4RMHLN7aOziucZAeXSQiBtfIH1PtPWV+ZLElBv4NSxeW7mua67keu5fvzW+LNCwAuq3MNB3HMhnl/wXLxF5AeBtO1HfuptNTUEco0AnGFBLQBHg51IXqmkRVcsEad2r7luoFX+uQVWDRJDwBA4BQQK7Q7cC5alAYJNhgZmZXUwuhXQNCsw2SeJTd6OTS2Qtydm9Z0JBNQECy1pdtJSK6fBqsrA9K25f85Grrl/hNaAPCJQgF6AqtZPv0gvZVSNsMIxhFZ1K2AEm8dH262zkWsXCjswBE4PgTbItVIXWXqFLrNd+PlTTBoIDqTF5V8KMBcIbBKBxyaPeyPXPD41q3P+EaA2oM9KoGK+BPL/XBMtMHJNgGGHhsBpIVBCl//TvpvNq9UAlkYKsdwLVoaN1KSgL5Gd5gYBI9fcPCqr6EwhAKXqly6lB7OKMN7pYA2tItwRUqjtnxI7U+0/B40xcj0HD9mamD0EIl2ZsFevg1YDs12xKjKtIyHVcizLJr/28MnjkZFrHp+a1Tn3CHTgKDsZCvCAVcR0WJKrk2d5nJZsk+ntOPsIGLlm/xlZDXOOAD1c+WWx/fFT6FWToVoGqaqjFqcSwAIw+GeTCJIY5e3YyDVvT8zqm2sEIiyfzfDSxR5x/rqFOMzIUkKFLiCEtyzQMZZ/Mck1zw/byDXPT8/qnisEvPQaqjPXXtUrekh1gCPUEFYCXAKmRP2rhdwiYE8vt4/OKp5HBCi5dvrcYDm/LRUJO1AVwEygVarr4JaZC+TxCffqbOTaw8KODIGpIOBVASycxFquOFnV36zToctsBqgH8D8Ew0bUv5q5gIcol3sj11w+Nqt0nhDw5Eq1QH/4Bexd280mORUB15VfwarUzbrI/ix2nhMEjFxz8qCsmtlG4ADE2ZY6dKW/xsoCJFG3UXfagU3rPt0E1H8j9T6pdR7iabXo5sG2A8isEGovN8tSKoFg59JOXbKNgNWuHwEj135E7NwQGAMBJ5Pyb2ynSqlTtwj2qyIlTGflQb8rFuYolZzlQLHgPkfN5gocoyaWJSsIGLlm5UlYPXKNALmQplRgUP3rzl3vnrFlmrWCYP9eQjXwUQPEi+iIqoEQzrOxafDE6vcu1v7mDIGesV3OKm7VNQSyhAAdWsGQCn+rWLkVu9ieNQKZBtEBrtERC42teuFFqADoRyDAglm84nWyIQkYG61dLeQXAZNc8/vsrOYZQqAI6TOAbjUKyhJ4CRT1UxcCrX2M/Dew0ut8qsYFqFTV8RWItACVQJF75sFfkrKRawqu3J0YuebukVmF84SAyp60a4UkW+a6WANCu91Wqyu6bbEwOwgYuc7Os7SWnCkCjhj1L5ZqoZJAN9qqlqA04JYIf3MQSRVfH6XVUnUuplWoBlAALQyY1xy3JADL4aHpXHP40KzKGUQAZlTanSep4j9UqRqCThtd/HmoUNOf2hWcQtWq6ZjWkTKy4KAAXUInhOMW6Ggt5BcBk1zz++ys5jlAgKu8BkWoAwppybXc5VqlVZVzc9Acq+IICBi5jgCWJTUEhiEQclkWSK8SQCWArn4bXxa3QtTGPk2sf/ozLE4Ya1lD+hoAtVJ74KVXOMXSgS76ybKQXwSMXPP77KzmGULADUZxfN+RK7Wu3AT61/7lWq5+mfGYTgDi5VpZnlidDMtr4GfoXePpCCzFQg4RMHLN4UOzKucLgS5pxtW+oDMHIOnCfCsZqEKwMDsIdDU/s9Mka4khcPoIBN2OPqYRhAcwu4o/rcoluQA1QTJ8tQ3htAibVyRhqlI84YBagAjLwuKyTplN5rHj/CFgkmv+npnVOIMIsGtPzWlJ1QJVECZJU3v4qdoefFGHFUAqyk5mFAF7zDP6YK1Z2UDAC6W+NuXYSYs/t/3sImDkOrvP1lp2ighQcoUSFb4CWtKiaBphGAtboZhWCRRDdPrbOtR1irWzW50FAkauZ4G63XPmENChKIqpIFjqTEXoizXtj/XPPn6KiQOgYU7DsjDzCNiA1sw/YmvgaSDQlU/BnTp7lTftG8h6uQp7Vzp31QUKB/sZOI262j1OBwEj19PB2e4y4wgouSqrYtoq20rVQB+5vjQPH4OUXF2KGUfEmmdqAXsHDIEJIFCCNFqk16tgTubQ6z+ge8GEi8H/sh/JlSpuRB+EdCpgYeYRsKc884/YGngqCHCgKp5thcWxsZpWOnx5DudccQCDWaoVSF+2sxlEwMh1Bh+qNen0ESiom0H6CUCAxQDcY6fCJegNClAblKrwGGBfXQqbWT2xxzyrT9badboIwE9AiH/qRwAztP5hn771CmsDp9nqXtC+utN9Nmd0t6kNaNEcxY+g0vKExifcF/j68cWjByH4rFTlvtoFaopeJlzx673jMA5MwwEBbjbaGoNiuywgAM9XtMRSqTTCwFUifNboCLUCEcg1KhegHYiwGqz/OhIJ7XCmEJgauXINoJguHZcCtiIj1OUP9+hAkVSVK/GiQWcVQifFJBHii/CByXWFUqFrH6gFpS7ZiSFwpgh08K4W2OXHuxmmXQxeqrj3WPmUnKrShpHrmT6vU7j5RMjVr1qZrG/6tzu+ou8Th0wZkILnXgAtllMGKjptsI9D+061FPtjCGQBgRZWHChV8DlhEkE9qKqk6uvlqbZTLOk73pURfALbzyQCfaJhdtpIlUCbC7v1BRKskWwfKHZ65ggU4qUFAvS+5kq9z+p/fIq3lYNd6Jm1ORUWp26NrDOvslVgygj03oIp32jU4ikNl0perPW5KepiM32VB8T2GUGgWOaS2hFUX3xHe+EfvUQyxVoD2NpYE0v/mXTQA2iGjzJLrtS+hgMMAt0icJmt9gy/Kta0wxBooqcVaqc/LRB8lZlC+hhoC9YegAkshnoHvNe8ZGG2EJiIznUakISQAPocCult+KN/2A//IP3vNOpnZRoCSQRC6Fo5ECt9K7aWQlAqTQjw0qpIQN8CFs4FAlN60juyga47ic5tG7KTgvOo60g8kEHjLpdqBnzZ6T11tbYZBqf9DujU17539gcf90WkvgE7mXUEpkCue3J7eVV2b9W6JFe7tSury7dlT9E86rqDfPAsFmfeFcsAA5/NaX9Udj8jcr4DYQdWAn1f0+9xIUIqA7j6KzZ4G6AC1m08tjDTCExBLVCTx49Elm4sdIFbuLok8uix1BCzgL+HX/fZsN672mr5c7enLHCYPPCcbWw6u50ZAlNBoNiKZB/kejFR+lfY0YIXrFa8tHa108LaWXHv67CXOFGGHeYXgb7f2kk0ZEXevXVNtm96SVVk5962XLv1rqxo8Uddd3VotTG7IH4Pfa04yMUAQaErFfdLjj6t7Q2B00SgVArk5YS+9Sf/75m0OEHGwrlFIAA5jfwbylF8biWsB9SBLSpnU6XC3m1ZXtwSCLBxWJcH0Z2YXBF11HUkaWBUtYryg8QL60uzvSGQFQSGfTyUCxrtSCqFz2U/eFGre6GxL52qm15TiPq+mUSD2u12d4ZicoCWn2qr1ZIyzL74/SWvJbLb4QkRmBSuU5BcMVi1eFfWaj1dnOpcAz+oddR1h0wVRtleUj0hVpbdEBgLARLnUdthBRcxxTuSyzIPUuQWVebhGQvTug8h1sPKs2v5QmDy5Lr3RHb7MFi4vibXEPuEI1pHXY/z+u5+X1F2aghMBIGjSHOYRDrKzZ/r0Y2S2dLmHoHJD2gtXJUlKAS23tuRzTtOy7p3/y5ilsSNcR113WHKbk+/xoJxDIz33SI/gNVsNqVarWq8KyHLf/uUydooX9/0Nbqo40Z/IM7xTXqwmROCOnEWTUeI4nNXIjLqOWYJQY5yGxIBQ8plB3JBSrFusMJ9fKx5SvRtBrv3Qlta8GLG+7Mzq7OQWCxv2GEMb4DfaQzW0NEZnfa0EOV/uSm/dTBKzgFK9kbQuUV6kRJuxo3puAXNeDhI68vaIQ7FJ6ul1UY8Qzk6QCFIgJH6FlRTLdSuiWmmLxW9/wqXbpp//+NPDuTKhar8ixc/lcuXL+s7yG49W9hoNKRScWqAadbBys4mAtPRucKqdSNYle1um/t0rkde57fvCJR6XR/29/dlfn5eDg4O9KWl/snrffkSU/+bTO/zZW2f9JgQ84iz0ElW1F9QaiHNIMS77p5xTNdNyzSe0pKRLg1JikXw/r6oagc+8/10Ytq/kc00DVzj6VHvD5d/KjKSfMY0uAVJxFeBlEZPktw0AXbPBSZOVJHOpMCNeq85Dwwq10B8yPsgPTfMLMUPp8grGDg6rfDjv/hzuXjxsly88KJcuHBR5ubm5BJ8B7L6rgmcc8VKh3j35lUHyneQOjv/HvYLCMepu+lcj4PS9NJMSuc6JXI9ecMpmVIqTTaULy7j/J4vrj/3XTBey3oIQWBKETHDObqgZOeDpz4n50VgK17z3pR66RxJ+unszFUkC3VL8ikpMRZUouTVEIOE3HOrYGqmK50kFoAq4jw4jmupUrNjWs2NSUhxfiTlTDof9GcQSRhDwizzGtKSiSgDU+qEa1MlTebhOQmTG4+/RHf9pxT++6/hU/WCyCWYoOLWMgfcLrOqqG+5E0kZxE5Jmz81lNh1oQHUkyzP8VtuYaElHTjJjnCxFF3AniVBmIZA4HtZyfdXLx7jj5HrMUCaYpJxntmg6vTEwkFXzzDOE+igKniploTKF9G/yDz3JDsoX1binNSD2uBbVDrhnwRJ6deuf9DNVqNzZ/E7iHr64wKm1488vuK+d+U4bT/Ig715RnMLi5D49YKTQv0xScW7yivHidsQXdtgGl6jmkK9O5FwtBUoFA2jWoAbJdoymRQ+TpmhFFt9+DKZa1rhL9B+8CadWmobaLxPNLixutz/XnzsO+2sn/8YWOWnSMVmM5RwQEdX2gT+iQsDPeMYF6gywT++h8+ePZNLly7pj74nW1dKtv5OikCy1aps1ca/T9mqFWrDX/9hL6eXaHk9SajD0metcQHmoWs/lySoHysIDyqOkJI5v11K7BSNQIQBJU7VTJLNHMmyPfRmTymL3zk/ahZV5Lx1JWPoOFFWp9XUNCXV+4Ho8ENEkavAxLif0E1eu+C84iOuimhlQpRLohSUxyguthcpKxZxXlQHJPpbgGRNpHuJ6ePAbNym9WLt/p99uVCAiR5I7UK5qW3Wd6AMiRN1LEPv+3XVIaCtxJltxdZBW0LoZ2mDQobVXoBK+dpoVBp7VhwhwsXLIdcO4DGS46GQlPnDw5aiu+fa6EVuxPEHhO8fzaS8/p/nRmIE53yGaX0D5xPNY7c6/pD5xfJjx/8AjpSL2GjXS+Lkd6/UickU2qkn2aL7GeGD7vDj5nkc9INnaqSNoBRVBQMJem5ey3ErkaJMOiQHEYZtDP2UqyiOLOPUBRTAqBKo475tzDYCzctvnobyuy8XU46f/T39nhLipMJf/+2BFCAiFitgySokSezAowLeVAmU7VxE+1X1QXwKc/y90Y1oaQA2DFHcLp55kuMCgd10moanPr0+BkQw8CfExZNdiT9zMkbvEl/qlRUooZLkKRSQUHlP/sB53StLtXC+EJgIufJF6g9tHdVglwofuR/OLj2FGHApTkpdFXRTARZtK1BnpaJRfzEzeq6sCubwHzv2YFNKrCQ7AINTkAj6p5TS9auGHlDg7Z5cUCD5JKRFpw8FVLuNpgkAABAqSURBVFi2GWJoTAVuQIrQc9iFs4Va+NNsRPLy5Tn59BdNWdD1ntMQJ6dvpq+c7OyvPoetJ4TBC+iHsytOKZBPnMctGNtXUe/foS6BgU1FvdvEAdfKWHeqiOOuFBjD1sK7QymcAqSTRokhNMX84YFeW6VOQovLzM/ufZcQ4zKUbxHLS/FTYSJ28nWvyTSfnvb94fNyFytYhcCTKfccbOUg66Bvo68QO51RBCZCroOxwYuHEAUt/Np7zRZeWH5VDGXMsw7RSePb6+QBHpyPoGIpCYAfJyVHfNgxh3LgpwPSxRwd/eAr6OaShEKQKeaspQiAYBE+Dr4wUPr9JfaE+FWk97LtIOkSPpwnFr6ABDyPOqNDjIqiBZCMSTr75cu4h1NqfK0Fime7n6F2nKWEHwr8tkqTqgzYgtXRkjJbygYhrojy8LOME5h1hZDYCRX/Ye8SkZzJxkzDQADZ6eePC6qAaOJAiuS+gkglV8TzOjEngfOYAYeeJ+kOQB1bM56DWQF/2HxCptTEyI86ar8C53zDSaR+MIpSrD9mORbOHwJTJFcHJuSKHqp8QbsvKbuvDPGbqsfn5Y8jVhIBpS5SBFHihh654wlwBb9pchH1moxnOqpKvz5HzAaHfzA4euzY/7mPZUuaGCACkZBpaMNK67gijgsg0ArYrkxfprgDNZGRmoKhawyiKZPV0MYCpMhOvKpEBIbTdwK6yRLyk8hoVUAsOGDmcuAsjiOhkmQjEHPvnybT+/G6y8NUMS7YUaAkD1PAZyz3LN1RL3PgOis9IJB40ZnqBv3hQ9pucl8m7xFHNtoNtWt94YUXuhJstwA7OJcITJFc+UozdF9Jd9r9i1fdJ+kddK/O9AEViWg7BTnOP69DhNpvtORXXzyTN3775VNr+ge/iuRVdNVj01atE0fKSUSUlmnT+jr2AfSftK2igT4Hhajv5VMlpXLIq+DEST0LAix3QmUpGuiXnCRZNcl2SNGhVyhEME8J+zJNFwgEyu/MM00cNLk718kKSM96sawuYfq03Gt6t0MSR6xxtCdZzRvfQtPwmAcImj1xXKBYy4DMam+LQ0/9mhfn+uMR3zeE+uY73/mOfPvb35ZvfOMbzOlUOnpkf84jAnzvphJKquPChxfNYZAFMgc3eQGjzthzi2CughjaUqpelm9+vOnEH5yya5cMDYgQdUhudYxwd+C+LcTHThtDmsLQBEnNkBAf6Ab9JK4H6FK2IVkdoKw6vsoGthY2drNVclTlHmQe7IM6tgbln75/qFeISvFfFNcxlQIVJQFw6zQDefo0AFEG8nPc9M9/EchffhbIj36N6xxkog6VBANJsIj9hbmCXLkYyKtXKhMl1l9++ql88fnnUseEizbEXQ6E+Q2NkLU//EP53cuhXIKJwEVIk7rhGc0DlTlcp45SxT/gytHzCDrRMnS9VdS/jGvsZs9BSnXdbeoznbTp1BxUdQCrOC+pi+kqwG6eG556lTgi6HsBLo6Ag593zz3lVRIw9awk/CJERErKpHXWjbpWSsfdDfGsr74DOObT1fcLaVg3NK0rZfp3Sh8l6xBHILs2mdJo9z1FRp7THI3WFFWUVYnLjHBB6w/8aCXw0UcfCSVXqgempWtVHTzq29U/+8ZkZk9/zXjXu/6bT6Ni7p4baY/8E77x6O2aouQ6WtucVICXBtn0g8Erz3/JUIX+Fm+V+xpUOnJXObrOD4PJCyp6JfPx4wCBq6Ds4v2LqVlQHPlVv3UKXAw6QoJI3IsEz9M6pKt9MjS4sQU+P0BVGk0QPAr5JUjnX34J1xAI6At65P58JXE8qcNPoC+oxj+LShxsODAgmbjFm0WuoO6+nbzvtD72SbXJypkNBPZuvy1bcktqDzfhu/mUwt59uYt7vu9m20/ppguy+TCSqxuBvH37ujzcPLp1mSFXkpujJ/IXaY906ynX4UXJRdkNCVvIwPTkWpII9z5gWAE2o26jtFYIKlIpsv8bpyAX4Zij0S1c10EklM207OqWwyok4xBd9aY8hbLza1+ZVyfIr/gbTHH/K9SJA1GUlijtUYonwbPq5FMicAmwUJJi4APUtvMP20OLAY3rkavDhyVYMASmicCOvLclcqt2isSK5uzwpmu1UyHzlXdvyc3F92RnM+FCdQiksfwz5OopRpNEOBuJXUnHrYxIV6+J0eAGJFNutH3U3nVcRxIktwNkPwDlNECmrcolac1dlqfVOfkELPQzXP/fkDj/Cv4+/hJWYT/+BN1ymNBcxvYyunVX4PjlS0j74nwgVy4V5dVX5pRY41ucfPcUlYOes/75gUTQtXKQhlI3Sb7ebkIaPpAXMTDyQqsul7BVOnBGAxXHRfxQzGOrgvznsM0DI7X9BAbsAHfQPefWBj7sNnLzkyu4913JkzfASjhPCOxASvM/zEHXZeghCOzck+1ra3I9KdTRd3OwLBsby92ylm/vwaVz+lxLHSVttxo7cm/7mqz5m45Sxihp/f0WNuXG+rbcO4YKIs1evoAz2HsVAAUy1ZjpIEm6evuQzvZxHdwoH2P7CNvfgpg+RD+9tt+W//W0LT/5eUf+7P+25b99AH9PSH8RG2cQfRnbV6E3/Mcgzq+9EMjvvxjIP/sq2GlC4WfwgPQLEOOvsH/abIDomtC/HkirUZcO4jhrp15pSXO+LXOX4OIEomkTxEl9MCx9cQ5ShKqjg6H4TrznIEkIHGjc34GozY2mP9QXN5GFm5O6nWqDv0WeVNksztyizSVNgiwYAqMgQGJdlQeqTqJKKb0O3uCSdMWRtesDJMhHsvv6+66sB+vyaGtR3pbkOSTBbpGjpEUmEvr6DUn30kcpY5S0rpIrb63L9jHYNTNqAVabxKp0R2LtnrgG8e+j3b+Tz57V0fVtyb/65xzHPp1Qx8vFejmq5zEpjt1vKhHoQK8jV2CqzzRVGrBrwBnES20P02DgjW77aMtZoqIWQ/ScjcRmgiNBlPDwBTtVUCwkcg7mOCyYnxvT6YY/1Pn62zAvN1QR5AtVQvx75CUOXNJgOlePhO2PRAAS3U1Ig7dqPSXmwuYNWd+6JzVkTgqm/WUtXR10NSFZLr4O387953fV17O7W/+1/vM4bXwbEvr6W3f6qtGfp/98/PvpjdiG3SdYcHXlUCwyRa59CHVPSSoafv+3/NHE9o78jigOkuIshh/84Aez2KwzbdP3v//9qd2fP5gnDT/84Q/lm9/85jGm5cIn82KAwalkuCav74msDOJPUM2TXVx/N5l+ysf6I7AuN/q5dcq3PW7xsZxz3OTTS0cZj6+ObpDyArhykwgmRCe4Zbc8X+6A/QmKt6yGQO4QqNfrxyBWNos+mNEvS20P+7rfyeYvyNWlR/KYou0pBXXCv/5Wb22+U7rvcW+TGXIdVuFhv9VGnMMQs3hDYDgC3/rWt4Zf9FfiQZvVlOEo7Tz9Ong+4fP7XV3L6fn4ycfsCRY4kVvv9lQXk7/HkBJrj+XR0tVDVQLMmRm1AE2PvPQai6+oHkyjWk9hQYCBHZgYFcuYwU0bKpxHbXrQx28Du0q6d7pODgBxqiiN2KmDZFkV6EPLEea2qwk6f09QHuehx3m93hIXnKRMiwWEbn30GLm0jjjh3h/jtElDc+y5FWk3xex+YyQCV0PB3AcNWtNEfuR4LjA7gxYTJ0im6x4nymF6Gs8PCn7VBl7jAJe3KphEV3PQ/c5bnB809I6yKfEd5jZzED7+ufAa83NwkoEDk/75MY7X+Ny4HxSGPVOWw8BBTl/2oPyMW7kTyQO1FkikWMcAV+K0/5ADPas378ve5imYYqlt65q8P1BF0V+zyZ4P1vM+fw/Y6w95Qs+n7cbwIXHjy8MHNQlTHzeX3N0iBIvxIboHieEjHCQHeLDai9BslT4/uiTD9EjXgYlTCFatwJMS82uaJDm5Qt2kA1zv5o/jEQWyjG1F9bpLwb8xNyrpKskzMQMu6qASDv2exTGP+zywZ0R8jybm0PMaidCV6y46YuwldMk5W8mXwtQMft8tUmOZ3tdRIxJ/+OHyefk9L/mPNJHMDk+IAPElcZHguBwRlyUaJ3ii5bfF58TvjGV6UvRLHg0qexi5+ud9HHIdVO7RcVze6aa8XjtMfXB0KcdJQWuGm6/XjmXMf5zyjp2G5luLj+VGdLSda+bJtQGHz+VSVcmVFkUwSYVZE+gFQmw/kZBcGQf7f123js6Z8G4qF8HiSYVc9T+COBVOk0zomQ/Jm87jiOLtNMFaBMoGqeEepDaNd+ynPKtF4UKySKbztKgemXgRoYFJ+67u/eTKq3EiHPEnJtCpoL4Ulsh4t+8/ZjRntw0K/OA8sfLjYvA/kIPSW9xoCBBf4kqTOxKiXyxzGNENix/trtlLTfvVxbtrU56hRRK/J28dg+AmjdAopJ4Zcp00COe1PPYA3GQMSsv4deGv0BhBpZw+ntbTHq+PUWp+sgT0WcEA0qTS5yRkqP4vUFQb5ndcn0sDZ8DMZKBudvH0p8BOHcvR22XkOvWHcro3MHKdDN5GrpPB8TyX4nqn5xkBa7shYAgYAlNAwMh1CqBakYaAIWAIGLmex3cgdlgB/xkWJoBA0gkJdbMn8WU6TllH5tnZUJ2x1o31w2Zh+ggYuU4f4+zcQUkVH9filjzKTq1yXhMasy8lZjPV4Fl0SxZTBvjHbeI4ZR0zzzX4WIUlCQcquVmYPgJGrtPHODt3wMybh/y4arfgOmN48Mbmw1PYlR4CdKKctHlckOtrQFcde/RSHe9onLLGyXO82liqkyFg5Hoy/GYyt5HryR5r7TH6BceYHnmcu4xT1jh5fF28ZHue9x6Lk+6NXE+K4Azm50wuC+MhQP3n6jacntw5+Zz3ccoamucRVBWxvjWA82rTt4/3fEfJZeQ6ClrnJC3nsVsYAwEMHEGdDT+oSTXBGOUwyzhlDcuzcqera6VECq0Q3Ake7YRlzJpbthgBI1d7FZ5DwEaTn4PkyAgdsV8VDGydfF79OGWNkmfh+hp07rvqoPrIhlmCsREwch0bumxmpD8CBvpOcL66Rq+ndw7CkpLb6CXlNwf9N/jtqFZwvrnOpx86152mT1ginIOJOOQ2LBxdFufVB8J1qHw4PM/zrgK5oN+j/rWufGG2nxgCRq4TgzIjBeHDdZ8y6+MdvsR1S5liOU/zhy485wtK7jPSzKlXQ91Y8vNg4w8LXCAP11M6TdqSJvWaDkD92DyWA4s8RllcMwqOrG90F406Kg+dWG/LalffirWxdk956euBbZ39SPMtMOPPeJwuvtlBPv9SjIOjL2UQnuOWN4pXJn//UfaD6jpK/llIO+6z6W+7DQv3I2LnhkBmEYiXka6dgYfozGKS3YqZ5JrdZ2M1yxACJ5FmBkmDJylvmrAMqus075fFsif1bExyzeLTtTplDgEjncw9ksxXaCzJNfOtsgoaAoaAIXDGCJi1wBk/ALu9IWAIzCYCRq6z+VytVYaAIXDGCBi5nvEDsNsbAobAbCJg5Dqbz9VaZQgYAmeMgJHrGT8Au70hYAjMJgL/H8TBU6mHNJYQAAAAAElFTkSuQmCC)
E = 55 kPa; ur = 17 kPa; ut = 45,54 kPa
E = 88 kPa; ur = 22 kPa; ut = 77,22 kPa
E = 22 kPa; ur = 34 kPa; ut = 88,89 kPa
E = 34 kPa; ur = 88 kPa; ut = 22,17 kPa
E = 44 kPa; ur = 88 kPa; ut = 151,5 kPa
Um lustre de 80 kg está sendo sustentado pelos cabos AB e BC e os diâmetros dos cabos AB e BC são, respectivamente, 10 e 8 mm. Qual é a tensão normal média nos cabos AB e BC? Dado: g = 9,81 m/s².
![](data:image/png;base64,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)
Tensão AB = 4,568 MPa; tensão BC = 8,754 MPa
Tensão AB = 9,638 MPa; tensão BC = 8,245 MPa
Tensão AB = 3,638 MPa; tensão BC = 6,245 MPa
Tensão AB = 7,795 MPa; tensão BC = 6,673 MPa
Tensão AB = 8,050 MPa; tensão BC = 7,860 MPa
Uma mola em seu estado normal mede 30 cm de comprimento, ao aplicar uma força de 15 N ela sofre uma deformação. A equação que determina a força elástica em uma mola vale: Fel = k.x, onde, Fel é o valor da força atuante na mola, k é a constante de enlongação da mola e x é a deformação sofrida pela mola. Determine a deformação normal media da mola da figura abaixo se a constante elástica k for igual a 950 N/m.
![](data:image/png;base64,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)
0,0147 mm/mm
0,0526 mm/mm
0,0345 mm/mm
0,7923 mm/mm
0,8524 mm/mm
O cabo AB da grua abaixo sustenta uma carga de 750 kN. Determine o diâmetro do cabo AB se a tensão última de sustentação for 2 GPa. Dado: coeficiente de segura 5.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWIAAAEYCAYAAABm5fzdAAAgAElEQVR4Ae2dCZwUxdnGX4KioOCJUSSfoAtGAsEz4i7BxCNmQREvVLxjXFAEVi4FVg5BQIhyCch64s0aFY3Lircoq0aNF8HoroKKKPHCg1PMfPUUW2NP0zPTO9M90937FL9hZ7rrePtfM8/UvP1WVaOYSsJEAiRAAiSQNwK/yFvLbJgESIAESEAToBDzjUACJEACeSZAIc5zB7B5EiABEqAQ8z1AAiRAAnkmQCHOcweweRIgARKgEPM9QAIkQAJ5JkAhznMHsHkSIAESoBDzPUACJEACeSZAIc5zB7B5EiABEqAQ8z1AAiRAAnkmQCHOcweweRIgARKgEPM9QAIkQAJ5JkAhznMHsHkSIAESoBCH4D3QqFEjwYOJBEggmgQoxAHuV7sAjx49Wh5++GH59NNPA2w1TSMBEqgvgUZcj7i+yPzNbx/53n///XLWWWfJr3/9a/nPf/4Tb/yyyy7Tx4488kj57W9/KzvuuGP8HJ+QAAmEi8B24TI3utYaAb7rrrvkiSeeEPz95ptvZNddd5VXXnlFpk2bpi8e6/hv2rQpQXj79u0rv/zlL7UgH3roodK2bdvoguKVkUAECVCI89ipRnxhwuOPPy4VFRWybNkyLcJm4xT8Xb9+vXTt2lUeeOCBuK/YnEdZU8+UKVPk6aeflsaNG0v79u3l4IMPls6dO0uLFi2QjYkESCCgBCjEOe4YI5poFmL66quvyvz586WyslIGDhyoxdMqshs2bNAj4P322082btyoy6CsqQd5TX5zDOfvvPNOefTRR3Xde+65pxxyyCFy2GGHSUFBAU4zkQAJBIgAhThHnWFE0ojmBx98IEOHDpUvvvhCzjvvPDnuuOO0uJrzxiwIMdwT22+/vfz3v/+VNm3a6FMmn7VecwwZzHE8X7x4sXZvPPPMM3gpBxxwgMC3DHHmaFkj4X8kkFcCFGIf8VvF0Ijkl19+KXPnzpV33nlHevbsKX369JFf/OIXjiIM0yDUu+++uzRr1kw++ugj+d3vfpdgsakXbZnnyGB9brXj3//+tx6FYwSOG4HNmzfXo3DUy9FyAlq+IIGcEaAQ+4DaCJ9VDHGDDTfgnn/+eTniiCOkvLxcj3TRvF1ErSatXLlSmjRpIrvttpt899131lMJz9GWU7vIZLXD5MHxtWvXyttvv62FGTcD8YUAFwhu+MGNscsuuyAbEwmQgM8EKMQeAbYKnFX4UP1DDz0kjzzyiL6Bdt1110mrVq3iraYSYWTCjTqMWuGe+Prrr+PlnJ6Ydo0t5rU1r/WYyYfz//vf/+S9996Tf/3rX/Lkk0/KfffdJ/Atd+zYUQvzQQcdZK2Gz0mABDwkQCHOEqYRM6vAmSqfe+45ufvuu/VodtiwYVrUzDn8TSfCyPPDDz/o0LR99tlHVq1ahUNpk7EllW2oxOTDc3veb7/9Vt566y0tzDfddJP8+OOPerSMkXKnTp20TSjHRAIkkD0BCnEGDI1ooahVzExV8MPOmzdPi+gFF1wgRx99tDkV/+tGhJEZs+gQuobR6erVq+Pl3Twxthl7zWunsuacyYs8ONatWzedfcWKFfL6669r1wp8y7jJh/A43PDDaHm77fhWcuLKYyTghgA/PW4o1eUxImVEy170k08+kVtuuUVqa2vllFNOkdNPP92eRb92K8LIjEkdO++8s46awOg4k2TsddOuyYt2zPXiOY63VRNFcE3r1q2TN998U/75z3+KGS23bt1aR2JAnDG5hIkESMA9AQpxGlZ2MXLKDmHCzbeXX35Zj35HjBiRMPPNWsaNGFrzw3cL/zCmMCOEDa9xUy2TBDE112MV3GR1WfOYcsiL40VFRfqB1x9++KG89tpr8uyzz+pJJ7ixiAklCJHr0KEDR8uAxEQCKQhQiB3g2EXHIYs+BFHEbLjHHntM/zy/8cYbpWXLlsmyu/IJWwt///338tNPP8lee+2ly+LnPyZ1IJQt02TE1VyjeZ2uPms+UxZlcHz//ffXj969e2t3DNbEwESVW2+9VTZv3qxvTppIjL333jtdUzxPAg2OAIXY0uVGYKyiYzmd8BRhaAhHw8/wcePG6UkSCRlsL1C3m3qtxeCWMOtKYNryli1b5KuvvspKiE39xpb6XLO9LF6b8niOOuFGOfzww/UDxz7++OP4TT/M9GvatKlerAh5MP0ao3wmEmjoBBq8ENuFJN0bAjescCMOwlhSUrLNBAun8pmIMOrBrDq4IdAWEoQYIWy/+tWv9Gsv/stGkNG+KY/nhqX12P/93/8JHieddJIezWMiC9wYiCaBPx2+ZQgyRsz77rsvqmEigQZHoMEKsZNopOp9+EFxYwqRC1iW8sQTT0yVPX4uUxFGBRBdq6sDfmKIsx/JiGc29lrrMDaaY3gN+zGZBQ+kzz77TIsywuSqqqr0Fw6W+8Ro+Te/+Y0eXeuM/I8EIk6gQQmxEV/0qVUgUvUxZp/ddttt8sYbb+j1IK699lrXP6ezETXYhJ/1mN5sEm6CZRo5YepI9xdcDCe3jOx1WsuZupDHehyvERuNkTIeGO1j5Tnc8Lz33nv1Fw584wiPw/RrL38FoG0mEggSgQYhxEYM7EKQqiMwgeGee+6Rp556Srp06SKzZ8+u1wI52YowbMO6FMYtgdcYHedidw7DKRNusNOaTF04ZurDc+txvMaNSIS+4YH0+eef67hlhMgtWrRI+5YRr4zRMhbCh6+ZiQSiQiCyQpzqQ5+u83BT6e9//7te6WzixInax5mujPW8FyKM+hAhgZXSTMJPe4hzrpIRS8PSvM60fWt5Uyfqsh43dSO6okePHvqBG5aIxMCvEqzJjF8ouEmKGX5wc7SpW5HOlOVfEggbgcgJsfmAO32403UORl/4kGNthyuvvFL7KdOVsZ/3SoRRL3zEWB7TJISt+eUjNm04/TUss2Frr9fUieOmXjy3HsdrpB122EHf0MNNPSQsB4rFirAuBpb2xBcUFisyo2Uu7akx8b8QEYiEEKf7IKfrD0xJvv3227X/FbGwxxxzTLoijue9FGE0gNXWrDfr4CeFHzVfyYik19dp6sV1mb60HrNfL3zH+ILCA7Hc7777rl5vGb9k7rjjDh13DfcF1sVo166dvThfk0DgCIRaiN18aFMRx8gKkRD42YspyWeccUaq7CnPeS1OmAiBmGFMjECIF3zFWEwex/KdIJLZsk92DUaATf3IZ445lUF4HyIs8ECC6wYjZbgxsOgSzmPCCVwYcGVYb3461cdjJJAPAqHbxdntBzQVTExJxlZCS5Ys0VOSsTBPNjd/vBZh2I4F4eEjhZ8YP83RBiZ4YKQH/7WVQ6pr9fucsSOVWGZrg2kD9dSnHYyW8eX10ksv6UklcPXsscce+obgUUcdleB/z9ZGlieBbAiEQogz/SA6gYGIYW1gjKD+8pe/6J+xTvncHoNt9REHt/Uithaj9alTp+rRMEQFo+ExY8bIrFmzAhdja/rIDxZWZqYdHKtvW+CHCSXYFRu7naAu+JYRHocJJfQtW0nzeS4JBNo1YT509f3AOQFEGBpmc+FufFlZmRx44IFO2ep1DPZ5YZtTo4gXxk1DTBk2CTfrcAxRBNbj5nw+/xoOXvaZ0/WYdnDOtIXn1uN47ZQwGv7DH/6gH/hie//997Xr54knntAL4cNtgUWK4FtGqJy1fqf6eIwEvCIQOCG2vvndfLjSgYC/0Cw+c8kll8RXDEtXLt152OmFfcnaQRytfYEctInti+C2gKgEMRkmfvPBtZu28Ly+7xv4jjGLDw8ksxA+fMtz5szRNwHbqmU/4VfGaBk3CJlIwC8CgRFi80GyfriyuWjs9YZQNMxO69Wrl35kU5+1bC5EBnZbIyas7a9ZsyYuINbjQXqOfvS6T1Ndn/V9k0m7+ILDIvjWhfBxoxQ3/ODOwnlsGwU3Bn5NcSH8VL3Bc/UlkFchNh8YGG39INX3Iqz5cUMGAowPUXFxsYwePdrTD00uRBjXgxuKiJZwSn5Pc3ZqM5Njpk9NP5vXmdRVnzKmHdMuyppjbuvBaBgPhDOahfAx/RqjZcy6RN8gEgNuDI6W3VJlvmQE8iLE5gNS3w9HsovAcYR7YQsfTIfFT0l8YLz++Q67vbQ51fXAh+n0AcfILB+TOlLZmu6cYeZHv6dq27SLPKZtPLcex+t0aaeddkpYCB+RGPiix1Ko2BgW/nr4lrEQPkbLiHJhIoH6EMiZEGfzQUh3QZWVlbJgwQI9FRm7JONOuNcplyIMoYDPEvGv9oSlIuGaCGMyAmjeC+Z1Lq7F2pZpH+1aj7u1A9PO8cAqfPh1gglBiMSYO3euHi1j4g1m+eHBbaPcUm3Y+XwXYvOmz+QNn65r8ObHjTiMQEpLS/VIOF2ZTM7nUoRhH2KHIcROsc1YgQ13+8OczHsh11wNM9M+Xpv3J55bj+O1m4TRMEbCeCAhLA43iPHeXLhwoQ6JQ6gkVpHD3yZNmriplnkaGAFfhDjbN3e6PsBMOOwRh1lU5557rvzpT39KVyTj8/kQC4Sn4eewkxBjRwv4LKOQIHzmvZKJCHrBwNqusQX1Wo/Xpx38GsMDMzXhQsKUdLgxMIEI/YZfNPArY2IOFsxnIgEQ8EyIvXgTp+sSTEnGrg4IykckBKYkIwzJr5QPEca1IDwNIy2IsT3hONbujUoygmfeP+Z1Pq7P2rYX9uCLFDf08EDCpgLY4QU7YGNSERYrwigZwoy/2exFmA9ebNM7AlkLsRdv2HSXgxtx8+fP16FEXbt2lZtvvtn3CQ35EmGwWLVqVdIRGXyO2FAUTKL0M9eIYC7eT+nebzhvt8d6zE15pzytWrXSG6liIXz0H0bLmH6N0TJGz4gbx41mhMgli5hxqpfHwk8gIyE2HxZcvnnD+oUCI4eHH35Yb89+/fXXbzPJwY928ynCuB64JuALdkr4sOJDizxREmJzreb9ZN5j5rU5n+u/1vaNTbDBejwTm9B3EF08kMy2UWYhfIyO27dvr0UZwswUbQL1WmvC+kaMNpZwXN3333+v3RdR7hdcW7ai50dvGuZ+2YYJSZjlh3WXsb4IU7QJpBVi84aLNoZwXt1pp50mFRUV+icuPrhW3zH6DQ9ElGD0hVE0JiKY/kwmIDiOPPC94zl80vhrvUHopizioNE2Hta2U5VFm2gbZfEXPnLkX79+ve6gVGWxTCjO44GyGFGiPpSFKydZQn5T1uRBOZQHT9hukqkbvl0whZ04j/rRJhL8wihvjpuy1r+mHuQDH8zSM3aiHtiDYzgHFwaiaJBQDjdr0T7ywz7TLs6hPrzGc5NMW7ALdWG2Jrb+YgoWgYxcE8G6hIZrzXvvvac/fNdcc42+CYT93vDhNB/KXXfdVS+aju3rEVmCCS5waSBBPCAk9mQ+uEZEH3vsMS0EEH2UxXnThr0s6oOA4IEPPkZzeHTv3l2HcaE8yjol1ItyRhQhNpgsgWO4MYsvAqeyKIcEgTIihIWRsJAP1us488wztQA5lUU5lLe6eNAe7IRLrKCgQIelYYF+kxfncbNtpfriQ8ImAuAKnrAZkzywr+DJJ5+s+8apXbSJ64SdmK1XW1urbzyDnxF1lDMiizZRBn0CvzIemDWKLwuIKxLKgoHhpw/W/YfjTz/9tK573LhxFGIrnIA8pxAHpCMyMcMICEZM/fr109s7WevBTT9M8YYIIy4ZPnZ8mN0mCKFZSB1xsBdddJHbojqeFh/6nj17agGdNGmS67LIeNddd2k/OYQFPtJzzjnHdXlsnwSRwhfRnnvuKUOGDHFdFhnHjh2rV1/DsplYKMpEPZhK+vfvr2du4stm5syZOuIB5yDOkydP1jMiwQ2x7akS1pcePny4/EGtCFdUVCQXXnhhquxajFEn8kL00Rb+pkv4JYQwT3yhYFU5pgASUN+0KZMyGUMOPgLIQIU96b5TI87YlClTEvpRiUhMiVfsySef1MdVpEmspKQkpj6UCfmSvVBiFlPCG1M/gXUZtXh+TIljsuwJx9VINHb66afH1ChMH1czzmJKcBLypHqhvgBi5513Xkx9wegH7HjwwQdTFYmfU1EIum01KtXHhg4dGps+fXr8fLon4Ki+vHQ29Ysjduqpp8bUBI2EYoMGDdKfByXEMRUjHD83YMCAGLghgfXjjz8eP+f05Oqrr46pGaExNZqNKaGMqRt1Ttnix5B3xIgR+rWKo48p4Y6pUMf4+WRP1DZgMbWGdeyTTz6JqbUzXPdjsvp43HsC+JZNmSjCwf0SMkKsdvKIqdFRvB8hnhAyu3jdeOONMTWiiqmfvfG8Tk+WLl0aU64I/cE159XoTQu72kXZHHL8i3x9+vSJ/eMf/0g4P2HChLiIJJywvVA/7XV5NVknfmbt2rVaqNRMtfgxpydqqrEW4eXLl8dP44vnsssui82ePTt+LNkTfFldccUVCachwircLKZcLPHjYIjPhfrJH3vuuef0cYikGnnH86jRcUz9Goh9+OGH8WPWJygHsVauCH1YuRtiKi4+hi9Qp6SmUmsGyo0RP63W19ZfFGrti/gx+xMVe6/LGcHGX/TPvHnz7Fn5Oo8EKMQBHOm6/fKzCrH66a/fRhBZ5abQIyCn99Xf/va3mNqh2umUPqb8n1pAIGr2BHFUPtcYRqxOSd2gimHkrBZfcjodGzVqVGzMmDGO53AQoocRm5N4KTdL7MQTT4yP8O2VYLQH2+yjV+RT0SVafO655x57sfhriBq+vJQvOn7MPMEoG2JsRBCjbPSRujkWU9ttxSCSEFHYYE3Kv655KJ+z9XAMnCCGVnFHhvvuuy+m3B56hJxQQL3Al4RyLdkPx5QvfJsvCmsmfEHbRVe5KPRouj6/FKx18rn3BCjEERBiuCYgsEj42Tx+/PiU7xTlA40p/+02efBTHGJn/bltz6Rmh8XU9F3Hn90YeeIncKo0ePBgR/swisUIEl8EyZJaY0PnUes4JGSBKwQivHjx4oTj1hcYCUIs1drC1sP6OUba+AKwjsLtmeDigZtC+dpjGN0bIcavB7gz1KQMexH9Gl+Q9v5AX6nFqRzz48tKbZGVcE4t7aq/JJLZV11drftN3fhLKKfWvdBfBPiFZE/4MkB/wQ0D1whTfglQiCMgxBitqZtGWgTVNlCu3lEY1Vn9yviQwx3x4osvpi2PESvyWn2aEBAVvZG2LH6Kw5dqHd3hZ7yKMnDVNn7CqyiKmIqx1W1BGDGSdRJYuzHGd61W64ufgosAIo5z6ZKaWBQbOHBg7NJLL437iPHFZ3VJ2OvALxS1N2JMLc+qT+HLTq3apkfp9rx4DYHEeQg8EnzOYAWfcKqELzBwUVuCxbPhCzeVKwkCjDz4clTRF/FyfJJ7AhTiEAuxupuv3zEQInU3PO1o1P72ghjfcccd+qf15ZdfnvAhtue1v16xYoX+easWYNIi4UaErXXgww8XBn4m//Wvf43h57/bhNHz+eefH1NhedrNAv+s2wQfLG7+wYVhrgFuD7cJwqiWwNRCrCI6NHe7S8JeF0bjFyiXDb7Ahg0blvYLByP/iy++OIa/cFVAyN0IJa7j7LPP1r8MampqtIvKbovTa7gu8F7AlwAS+gRfBPAvM+WGACd0qN+YYU2YBv3HP/5Rr+6lxECv+IWYUcSiIq5UvYUcY4VxvQhjw6QATKndZ5999Ep2xx57rD6GsnggoQ57QhuY6IFVxRDihYSQKkwoQEL7eNgT4mIRjobyCKVC21iNDGFciMfF2r5o16ks6jYxsghNw6wzhOchhAx2KxHRZY3d1rbRLkL9cC0I91IipacUIz4Xk0awEhrilJOVNfHJsBv51Shah+ehDaw9jPVP0D4S2sADZZAfz2EvYrlNHDVYIf7XTLBBHiRcH64TNiK+GPlRB1537tw5PrFDZ7b8h7bwAAvlB7ecyf4pdrxJNt0++9pZgyFAITYkQv4XH2AnIQn5ZQXWfAgfhBMTL6KcsL4yl+v0v4cpxP4z9q2Fdu3a6VXpzMwr0xBEAsmMtMxxN39NWYi6ee6mHPKY/JmWhb14mHrctGvyZnOt2bRrvvyMHfWx2S0nN0zQPvKZBerd2OEmTyZc3dTLPIkE8jKzjp2b2Al4pfyIemsk/Dx3m1q0aCFHHXWU2+zMRwIkEFAC/q2qHtALDqpZdgHGKDddws9iMyJLl5fnSYAEgksg/ac9uLZHyjIsGq4iF0SFGwl2alZ32fU+Z7ipZRVb+IKxU4kKF9NrKOA1EwmQQLgJUIgD0n+IYsBW7B07dtQL9aiJEaJCtPTCNXYTcSdbTQrQkQr2c3xNAiQQPgIcTgWozxAChREwdm1QM730yl9qosE2FmJBeLglTMjUNhl4gARIIFQEKMQB6i7rnXesN6tmWIlahEYwAmYiARKILgEKccD61irGWIwdG01iDVrrDhkBM5nmkAAJZEmAQpwlQC+LI6zPHtqnVunSs87UFNT4OXseL21gXeEmYN5D9r/YaSVdspfB69oZRTquu2hGbbriPJ8FAQpxFvC8LmodDVvrVguA6xt5alFwfRjTXt1OBrDWw+cNl4A9ugbhkXjgPZfsfSdSJVNLq0WtmyzVFZVCKfbv/UMh9o+tpzXDPYHICmyPgzUFzDoGnjbCyiJLABN/sG/ds88+K2qFPX2zFzd8MerF2hk4tk2qWijlhdNl2LxeUlJdKlOrtsnBAx4RYPiaRyC9qAajFvvIxVov9oDD3m9qBS+9AAzWOmAiATcEsH8fFlZySt26dXM6LFULy6Wwd40UqH+9SkS6L6ySeeomMpP3BDgi9p5pxjVChJP/TNxa7dFHHy1qIXO9YhmFOGPULJiOQO0MmVBeKL17FOicxcOmS2H5QuWsYPKDAIXYD6o+1an2gRNM9MAOx1g+0myl7lNzrLYBE6itrJDqwt5Sp8MiBT2kd2G5TOBNO1/eFXRN+ILV+0rVfmZ6+rPaZ0yaN2+uXRPw7zGRQH0JpH/f1EplRbVIdbW0a1Rqq17dtBs0SDkrmLwkwBGxlzQ9qMvpQ3LbbbeJ2qZH1E4Kem1YtauxbimdG8MDc1hFBAnYF5ja5hJrK6WiukTU5k76Zh7ek/pRo9wT1RVSyfCJbZBleyCtEDsJQ6aNmg7NtHxDKGcX17lz54rankfULr7SsmVLjcCepyFw4TV6RwC/qFKlqqmlUl3SS7a5LVcwSMpKqqWU4ROp8GV0zpVrwksxzsjKBlTIKrJwQ6jNMvVIGFv0mIT+sOYzx/mXBLwgUDxPjYCTVJTqXJIiPOyCgCshdlEPs3hAAJM0sLcaktpuXdasWSOzZ8/W8cPW6iHCFGIrET4ngXAToBAHqP8grmp7eBkzZowWWix16RRXTBEOUKfRFBLwgEBaH7EHbbAKlwTgfsAMJ+xqPHbsWEcRNlVRjA0J/iWB8BOgEAeoD7G9+gEHHKBdEm+//XaALKMpJEACfhKgEPtJt551Y6H3Tp06yZVXXqndE++99149a2B2EiCBMBKgEAeo1+BuMDt0YEF4rCmBG3ZMJEAC0SZAIQ5Q/1o3CcVCLNhAFIKMG3hMJEAC0SVAIQ5w32KHjh49esjAgQMl7WyoAF8HTSMBEkhNgEKcmk9Oz2Khbnu42jnnnKN3a7788svjm4ViQod19JxTI9kYCZCA5wQoxJ4jzbxC+IidZjFih4TOnTvrvevMpA+nfJm3zJIkQAL5JEAhzid9h7aTxQfDV9ymTRspKyvTkz24Q4cDPB4igZASoBCHqOOwZx22SRo/frx2YXBh+BB1Hk0lgRQEOMU5BZx8nErnckBIG2KNV69eLRTifPQQ2yQB7wlwROw906xqTOaaQKUIYxsyZIicddZZ2k2BzR+ZSIAEwk+AQhygPkw1Gv7iiy+kX79+OoJi8ODBgunQjJwIUOfRFBLIggCFOAt4XheFEDuJ8eeffy4DBgyQnj17Sp8+ffTsO+RLNXr22jbWRwIk4B8B+oj9Y1vvmn/66adtRrkrV67UU53PP/98Oemkk3SdEGHEHFOI642YBUggkAQ4Ig5Yt1jF9a233pKhQ4fKJZdcEhdhmIs8cEs4jZ4Ddjk0hwRIwAUBjohdQMpHlpdfflkmT54sV199tRx22GH5MIFtkgAJ5IgAhThHoN00g5Fus2bN5IUXXpAZM2boeGGEqjGRAAlEmwCFOED9ix06li5dKpMmTZLbbrtN9t577wBZR1NIgAT8IkAfsV9kM6gXfl/MnMP0ZaxLzEQCJNAwCFCIA9TP69evl8MPP1zvV4ebdNyhI0CdQ1NIwEcCFGIf4da3aoSkrVu3Tg455BAZPny4jBw5UlasWLFNNYiWQKgbEwn4SqB2hhSp+xa4d2F99K3ytdUGWTmFOEDdbt7sMKlr166C5S+x6hrWlWAigfwQKJTpNVsnGmEAUDO9UMq79xVqsbe9QSH2lmfWtUGMTTrhhBPkwgsv1OsQf/311+Yw/5JA3ggU9OgthbJM3q/NmwmRbJhCHLButU/S6NWrlxQXF+uR8aZNm+LWYicPe974ST4hAZ8I1FZWSHVJmQwq8KmBBlothThgHe8krhdddJEceuihemSM802aNNEz66yj54BdBs2JDIFqKW33s4+4XWm1lPQqjszVBeVCKMRB6Yk6O5KJ66BBg6R169b6Bh5Gw7ixx9XXAtZ5kTQn0UccW1SifMRFMoOuCU97m0LsKc7sKnMaDVtrHDVqlLRs2VKwkejmzZu1GFvP8zkJ+E6guJeU+N5Iw2uAQhygPnezkM9RRx0lL774oqxdu5ZCHKC+ayim1M6YIOXSUdrTR+xpl1OIPcWZXWUQ4lTuhsrKSikvL5eKigrZd9999eLw2bXI0iSQjoDdRywqnG2e0Eucjlv9znOtifrx8jV3Mv8wGr333ntl8eLFcv311+u96uCaSOfK8NVYVh59AgWDZGlsUPSvMwBXSCEOQCekM2HOnDnyxhtvyKxZs6RFixaCxeKZSIAEol9RBa0AABTOSURBVEOAQhzwvsQIuKamRmbOnKkXBIK5qUbOAb8cmkcCJOBAgELsACWfh6wiO27cOMGMuhtvvJE35vLZKWybBHwmQCH2GXB9q99hhx10kauuukov7DNt2jRB3DATCbglYP0yd1PGTX7ej3BDMvM8FOLM2Xle0qxDDBHGIvHYJilZ4gcjGRkeB4HFI8/0DMQJExd4VhcrcibAoZYzl7wcbd68ud6hAxER6UQ4VZhbXoxnoyRAAhkToBBnjM77gljU58ADD9R+4ddee837BlgjCZBAIAlQiAPULRs3bpQOHTpIWVmZTJkyRUdLBMg8mkICJOATAQqxT2AzrRZ71RUUFMjgwYNlxIgR8vHHH2daFcuRAAmEhACFOEAdhbvX5g52ly5d5OKLL9ZLX65ZsyZAVtIUEiABrwlQiL0m6mF9WBD+7LPPlksvvVT7jU3ViJgwgm2O8S8JkEB4CVCIA9R3TiFpZ5xxhpxyyily2WWXCdwWJlGIDQn+JYHwE6AQB6gPsTOzU1jaeeedJ8cff7wMGTJEtmzZIjvuuCMX/AlQv9EUEsiWAIU4W4IelseI2GlUjCbgL+7UqZOMGTNGr76GyR/J8npoEqsiARLIAQEKcQ4gu20inbth4MCBeoeO0aNHaxFu3Lix26qZjwRIIMAEOMU5wJ3jZBq2SerYsaN8+umnehNRpzw8RgIkEC4CHBGHqL+++uorwSai2NUZscaYicdEAiQQfgIU4pD04apVq6R///5y3HHH6QgKiDB9xCHpPJpJAmkIUIjTAArC6Q8//FBP7Dj33HN1KNu3335LEQ5Cx9AGEvCIAIXYI5BeVIN1h+1rD7/77rtyxRVX6FHwiSeeqJtJFubmhQ2sgwRIIPcEKMS5Z560RXsUxJtvvilDhw7V604cc8wx8XJwSSDemK6JOBI+IYFQE2DURIC6DyNdMyKurq6WG264QcaOHStHHHFEgKykKSRAAl4T4IjYa6JZ1AcRbtq0qTzxxBN6x+aJEydShLPgyaIk4CmB2hlS1KhIZtR6WquujELsPdOMa2zWrJksWbJE7r77br1haPv27TOuiwVJwFcCVX3VwlN9pcraiBaqRtI38aDMKLIfsxbK9HmV9K1brRAToayPIqOU2sbEc4k212rb4mWLZkjGGlt37Y3sQu1SvCnEmb4PfCiHNwRGxfiLPeuYSCCwBIp7SYmUy0KL6NZWVki1Mrg88aBUVJdIr2Kvr6RY5tUtCYB7JVsfi5RNhdK7R8HPjRVOl5r4eeSbJ8aUqr7tpLTjorqyNTJdSqVd4rfIz/W4elYohYXVUjrVAsVVOREKsUtQucj2ww8/SNeuXeXUU0/VS19+//33uWiWbZBABgSKpVeJyLL3zRiyVpQOy/Tp+mB8ZKnFubCDtMughfoWqerbXcpLymSQRYeT11ElC8tFSuLfEAUyqEzZXr4wcZSfvAKRulFwfASu8vaer74MyifU231BIU4FOsfnMBLGdkknn3yydOvWTccOr1+/fhsrzE+pbU7wAAnkkEC7DoVSXVFZJ7o1sry6o7QfpEbK1RVSWafPNcurpbB3D0mljbUzihJcC+b9vfWvzf2R7PqUKE4oL5Tpw8x4N1nGuuO178syNXruYP2GaNdBHVkm8e+WVFVAhNuVSsdFMVmaoPzFMmy6SOkF9XNzUIhTwc7xOSxxicgJJExjPvjgg3Xo2o8//phgCd6gxoWRcIIvSCCHBAp69JbC6uVSgzarFqrRaC/1sx8j5WpZvvWgGnXaXAUO9hUMWlrnHjAuBuvfn10JDkXjh6qmlkq102i4Wrkb1Odlq6h7daNN+afrRHieg+4XDCpTX0alUh8PBYU43pXBeGKNDR4wYIBeU2L48OHBMI5WkICVQEEP6V241U9c+74aX9YNLzFS1n5iiLOoUXKq4bC1vkyfq5ty3ctLZJFdFYvnJQh8DUaq7VyOsJPaonzA7ZQLRPmekw++lf96kfKgT3A/KqYQJwWenxNWIYYFmNDRsmVLvQ5xfixiqySQjECBtO8It+oM7R82N8n0SHnZ+1KlxFk5YeM3x5LVkp1rQkU+TCiXwunD0raj7TKuh4L26ivCjNzrLKtZro6k/+IoWVR3Yy9VlEXxMH3z74Kpy5NddsJxCnECjmC+GDlypGzevFmmTZumDTSTPoJpLa1qSASKcceuvFTFG/SWeLACRsrqSPfSasvNsORUsnJNVE2VUhWVUZbgp0VbCE1LHP1q90WhsXPrzcafIzy2Cnr6Lw74ldWNvaXqphzcHkmjLLbe/KsuL9eRJMmvfusZCnE6QgE5P2HCBKmtrZVbb71VdtttN9luu+0CYhnNaNAEdBibItCxveWG3NaRsthvhnkOSvlquycbDcOGcuke9w83ku7LVCjb0kFxO4vnqZHtsu51/mMVyqbGsDV290ZSmxE+hwgJVT7ZyFi5RpSHwlVqpH4Kx1zlZCbfCdx0001SUVEhzzzzjGNbiKjA6Lh58+Y630MPPSQHHXSQY14ebLgEcGNq8cgzPQNwwsQF2tfqWYWsaBsCHFZtgyS4B7BpaL9+/eTQQw/VURNNmjQJrrG0jARIwDUBuiZco/I/I3y/qfy/b7zxhkyePFlmzpwp++67L3fo8L9L2AIJ5IQAhTgnmN01kio2+IUXXpBx48YJ9qw77bTT9DKYWAqTiQRIIPwE6JoIQR9iNTb4jydNmqR9witWrIjPRAqB+TSRBEggDQEKcRpAuTztdN/0kUcekTvuuEOvTdy2bVttDm7G2Gfb5dJOtkUCJOAtAQqxtzyzqg0Ca00PPPCAjo6YNWuWtG7d2npKj4gTDvAFCZBAaAlQiAPUdRgRm/jgO++8U55++mmZM2eOnlkXIDNpCgmQgMcEKMQeA82mOtysww24uXPnyvLly2X27Nmy8847b1MlBNs+et4mEw+QAAmEhgCFOEBdhcXgMQref//9tRgnMw0iTCFORofHSSB8BBi+FqA+ww243XffXbBA/Jo1a5JaRhFOioYnSCCUBCjEAeq2devWSZcuXeSss86S/v37y5dffpnUOopxUjQ8QQKhI0AhDliXQYx79Oiht0sqLS3VO3YEzESaQwIk4DEBCrHHQLOtzsQS9+nTR4+OsR6x2bUj27pZngRIIJgEKMTB7BdtFaYzt2nTRq688kqufhXgfqJpJJAtAQpxtgR9Lo8RcYsWLaSsrCzekhk1xw/wCQmQQKgJUIhD0H2jR4/W8cVY9Adp++23D4HVNJEESMAtAQqxW1I5yNe4ceOky2BOnDhRvvnmG5k+fbpgXWJGTeSgQ9gECeSIAIU4R6DdNANxTSawOD5lyhT54IMP9HrEWBQ+WV43bTEPCZBAcAhwZl1w+iKtJRBfiPHBBx8sn376KV0UaYk13AzY3ogpPAQ4Ig5PX2k/8XXXXSdFRUWyzz77cCnMEPVdLk3FzVyvH7m0vyG2RSEOWK8ni4jYtGmTnm2HG3XY0Rl/uUNHwDqP5pBAhgQoxBmC86uYk993w4YNetNQLAY0atQoLcCbN2+mj9ivTmC9JJBjAhTiHANP15xdiL/77jvp27evHHLIITJs2DBdHIsDIcKCiQRIIBoEKMQB6ke4GqzuBtyQu/TSS+X3v/+9DBw4MG4pxDqZCyOeiU9IgARCQ4BCHKCusoowwtSwAtupp54ql1xySYKV9lFzwkm+IAESCB0Bhq8FqMvMDh3vvPOOjB8/XrskiouLHS2kGDti4UESCCUBCnGAug3bIi1ZskT+/Oc/S2VlpY4XDpB5NIUESMAnAnRN+AQ2k2oRota2bVs5+eST5cknn8ykCpYhARIIIQEKcYA6bePGjdK+fXu9c/Pq1atl0qRJAbKOppAACfhFgELsF9kM6oXfF6NipBtuuEFWrFgh8+bNy6AmFiEBEggTAQpxQHsLogwxfvnll2XBAq4bENBuolkk4AkBCrEnGL2pxD5JAzfvrr/+elm4cKE88sgj8UYQQ4xQN8YSx5HwCQmEmgCFOEDd5xSStvvuu2sxvv3222XRokUBspamkAAJeEWA4WtekfSoHicxbtWqlUybNk3PrsO2SZ06dfKoNVZDAiQQBAIcEQehF1zYgLA2uClmzJghTz31lOy0005c9McFN2YhgTAQ4Ig4YL2Uyu+L0LapU6fKKaecIp988gkXhg9Y39EcEsiUAEfEmZLzqZyTa8LaVG1trd7VGbt1WNemsObhcxIggXARoBAHqL9SjYZh5p133inz58/X/uKWLVtyh44A9R1NIYFsCNA1kQ09j8umCkm75ZZbtG94zpw5OmwNC8NjkSAmEiCB8BPgJzlAfQghdnI3QHxfeOEFufnmmwXhbD/88ANv1AWo32gKCWRLgCPibAl6WB7+YbuPeOLEiXrHZkx13nHHHXVryJPOjeGhWayKBEjAZwIUYp8B17d6MyLG3+HDh8sOO+wgM2fO5NZI9QXJ/CQQIgJ0TQSosyC+GPX+9NNPUlpaKrvssotce+21FOEA9RFNIQE/CHBE7AfVDOvE6BebhQ4dOlT2228/GTJkSIY1sRgJkECYCHBEHKDeatq0qVRXV8tnn31GEQ5Qv9AUEvCbAIXYb8L1qB8Lwx955JGyxx57yH333ZeyJG/WpcTDkyQQKgIU4gB115YtWwQTNaZMmSKPP/643rfOyTz4kvGgGDvR4TESCB8BCnGA+gxhaRs2bNAL+mBNCcyie/755wNkIU0hARLwgwCF2A+qGdZpjSPea6+9BDHEWHHtlVdeybBGFiMBEggDAQpxgHupoKBAxo8frx9vvvlmgC2laSRAAtkQoBBnQ8+Hsna/b+fOnWXs2LEyZswYeffdd3WL9jw+mMEqSYAEckiAQpxD2OmagsDapzijzOGHH65n2Y0cOVJWr16tJ3qkq4vnSYAEwkOAEzpC0ldFRUWyfv16GTFihJ51Z9adCIn5NJMESCAFAQpxCji5PoWpzQhLS5aOP/54Pf35wgsvlC+//FKwODwTCZBA+AnQNRGgPoRrIp3/9+OPP9ZLYXIt4gB1HE0hgSwJUIizBOhlcSf/sLX+cePGyUcffST33nuv7LbbbtyhwwqHz0kgxAQoxCHpPPiGsSsHVmNDwiw8JhIggWgQoBAHvB/hN8ZqbDvttFNchDdt2hRwq2keCZBAfQhQiOtDK8d5sSVS//79Ze+995aysrJ463BhpPMlxzPzCQmQQOAJUIgD1kVGYBEV0a9fP70aG0bETCRAAtElwPC1APUtRrrYlWPNmjUyePBg6dmzp5x55pmOFhrBdjzJgyRAAqEiQCEOUHc1a9ZMPvjgAxk1apScc8450r17d0frIMKp4o0dC/EgCZBAYAnQNRGgrsFWScuWLZMWLVokFeEAmUtTSIAEPCJAIfYIpBfVYApzly5ddGja/fff70WVrIMESCAEBCjEAeokxAljhw7ECj/66KPy4IMPBsg6mkICJOAXAQqxX2QzqBc36zAqbt68uUyfPl3vW1dZWZlBTSxCAiQQJgIU4gD1FoQYDyTs0AExLi8vl2eeeSbBStysM/kSTvAFCZBAKAlQiAPUbfaQtNatW8ukSZP0dkmvv/56gqUU4gQcfEECoSZAIQ5Q9zktg9mhQwe55pprZPLkyVJTU6OthQjbRTtAl0FTSIAE6kmAQlxPYH5ndxLYww47TAYMGKDXnFi1apUOb4MYc1Tsd2+wfhLIDQFO6MgN56xb6datm6xbt06GDRumBblp06YcFWdNlRWQQDAIUIiD0Q+urCguLhZM+rjqqqtk7dq1st127D5X4JiJBAJOgK6JgHeQ3byCggL54osv5NtvvxXu0mGnw9ckEE4CFOIQ9durr76qXRNjx44VCDImgDCRAAmEnwCFOCR9+NJLL8n48eP1usTHHnus9heHxHSaSQIkkIYAnYxpAOXydOPGjR0jIaqqquTmm2+W6667Tg466CBZuXKlXn3NKcIil/ayLRIgAW8IUIi94ehZLfaQtHvuuUcWLFgg06ZNkwMOOCDeDpfBjKPgExIIPQEKcYC60B4bjOnNTz31lNx0003SqlWrAFlKU0iABLwkQCH2kmaWdcHVAPcE0uzZs+W1116TW265RU/gyLJqFicBEggwAQpxgDoHIoyQNLghMJ0ZI2HEDTORAAlEmwCjJgLUv5gtt2TJEr1n3axZsyjCAeobmkICfhLgiNhPuvWse8OGDYJFfrDAT6oEX7JxYaTKx3MkQALhIMARcYD6aePGja5GwYiYwALyjJwIUOfRFBLIgkAjdYMolkX5BlfUHl4WdQB8e0S9h3l9QSDAEXEQeqHOBoxwt2zZEiCLaAoJkEAuCNBHnAvKLtvgIj4uQTEbCUSMAEfEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBLaL2PX4fjmxWMz3NtgACZBAwyLw/2ROOK1nWwabAAAAAElFTkSuQmCC)
145,37 mm
200,04 mm
48,86 mm
180,54 mm
17,65 mm
Determine o diâmetro de sustentação da haste da figura abaixo que suporta uma carga de 200 kN. O material da haste tem uma tensão última de 8 GPa e o fator de segurança dela vale 1,65.
![](data:image/png;base64,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)
34,15 mm
24,56 cm
10,14 mm
45,21 mm
7,24 mm
Um corpo é sustentado pelo suporte da figura abaixo, se o diâmetro do pino for D = 12 mm qual é a tensão de cisalhamanto do pino.
![](data:image/png;base64,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)
22,10 MPa
9,588 MPa
2,559 MPa
0,128 MPa
53,45 MPa
Duas partes de um metal foi soldado com uma angulação de 55º, determine a tensão normal suportada no plano da solda.
![](data:image/png;base64,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)
0,7014 mm/mm
0,6154 mm/mm
0,5063 mm/mm
0,8023 mm/mm
0,0099 mm/mm
A hélice de uma embarcação foi feita com aço A-36, ela é movimentada por um eixo que tem o comprimento L = 2,5 m (medida da hélice até o mancal de encosto). O eixo é vazado e tem um diâmetro externo de 50 cm e espessura de 8 cm, determine a contração axial do eixo quando a hélice exercer uma força F igual a 25 kN sobre o eixo. Dado: E = 200 GPa.
![](data:image/png;base64,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)
- 0,5324 mm
- 0,0029 mm
- 0,0005 mm
- 0,0788 mm
- 0,0564 mm
Uma material fibroelástico submetido a tração tem o comportamento demonstrado no diagrama tensão-deformação da figura abaixo. Esse material compõe a pele e os músculos dos seres humanos, determine o módulo de elasticidade das fibras e estime os seus módulos de tenacidade e resiliência.
![](data:image/png;base64,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)
E = 55 kPa; ur = 17 kPa; ut = 45,54 kPa
E = 88 kPa; ur = 22 kPa; ut = 77,22 kPa
E = 22 kPa; ur = 34 kPa; ut = 88,89 kPa
E = 34 kPa; ur = 88 kPa; ut = 22,17 kPa
E = 44 kPa; ur = 88 kPa; ut = 151,5 kPa
Um lustre de 80 kg está sendo sustentado pelos cabos AB e BC e os diâmetros dos cabos AB e BC são, respectivamente, 10 e 8 mm. Qual é a tensão normal média nos cabos AB e BC? Dado: g = 9,81 m/s².
![](data:image/png;base64,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)
Tensão AB = 4,568 MPa; tensão BC = 8,754 MPa
Tensão AB = 9,638 MPa; tensão BC = 8,245 MPa
Tensão AB = 3,638 MPa; tensão BC = 6,245 MPa
Tensão AB = 7,795 MPa; tensão BC = 6,673 MPa
Tensão AB = 8,050 MPa; tensão BC = 7,860 MPa
Uma mola em seu estado normal mede 30 cm de comprimento, ao aplicar uma força de 15 N ela sofre uma deformação. A equação que determina a força elástica em uma mola vale: Fel = k.x, onde, Fel é o valor da força atuante na mola, k é a constante de enlongação da mola e x é a deformação sofrida pela mola. Determine a deformação normal media da mola da figura abaixo se a constante elástica k for igual a 950 N/m.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASoAAADpCAYAAACTMXqBAAAgAElEQVR4AezdB7hmVXU38DWVYahD78xQBAsKFhCQogICokJsWIgiGrHEkqhJLFFT1Bi+JGqMIUa/xAgWEAt+ClYUVBSxFywIIgpIL9Pbd35n5g+HN/cO9965M+97x7uf57z7nH32Xmvvtf577bX32ee8U1Y2oSbDpAQmJTApgQGWwNQBrttk1SYlMCmBSQm0Epg0VJNAmJTApAQGXgKThmrgVTRZwUkJTEpg0lCtxsCKGy+td77+P+pHdw0iKG6pL/7Hv9WHLvpVLRuuesuuqY++7R31mZ/cOlyOqvk/rve+4Z319RuWD5tn+Y3fqjPf8t91xYJhs0zemJTAepfAABmqFfXzz/9rPf3QR9WjHtUchx5Rp7763Pr9elrqn7rZvDryhENqx43WnQ6WXP3petUpb6kfLBktj9m1z6GH1cP23qamDVd06px66NFH1gN3mD1cjqqZO9Yhjz+i5m02vNpX3PLD+si/f6KuXDg8mT+oOytX1LKly2rFgDd6+bIltWSJY2ktXzHGTtM8VxvUZ2vTB0P+K+r7//bMevqnNq13/ufH6iFbNbVacH195hMfqa/85In11AfOrPm//XldefOimrrRVrXn3rvUxk1fW3znrXXbbfPrjoW316LlG9Vu8+bW8ht/UdfeXrXN7nvVTptNq7tuvrWWL19a1996cy1eMqW22mGP2mXbWbVy6Z110w0LauX0BXX975fXTvO2q1323KU2nbas7vj9bbVo6V31+1vurGmbbVd7bL9JXfebq+quFRvXLnvsVVvOXCW1pTf9on76u4U1Zdqmtdve82qLmVPaOs2fv6St0x13Lq6Zm25Z8/bYtTaq5XXTld+pi796ae377R9Uzdmi5u21e202Y3nd8Muf1g0LVtT0LXarB+y+5RAqmVFzdtq5Ntto41q+6I667eaFtXjFXXXzrfMbeWxSe9xvz5o9dVZtu/suNXWTqHRJXXvlL+qW+cub+m1UW++yR+20xaa10x671KyNplQtubN+/etf1+0Lmy44ZWptsd3utfv2mzWnM2r2phvX9CbLwIQlt9Yvf/abWqD/TZlWm2+9e83dadP1Ur3lv/1s/fnLL6mnv+8tdciW60YoK5fc0WBwcW2507YtrkfXsOV15xfeVoe+4iM1fbs5tU3tUk986V/Wn/zRfrUapiMkt6J+eu6b62/O26L+9qw/q72GH8tGSG98swXV40t1lNRWzv9O/deHf1kvOOOrdcz94xFsX6e+8iEtpRt+eG795Wv+T908Y9uaf+uyevCLX1v/ePKh9cMP/3X96Rnfr+0fuXMtueK7tfgRz6kjZv60vv2dy+uaea+ti/7v4+sLb3tRvetby2urXWfW8ptvrpXbHFlvOOPP6hHzz6uTD/2XmvOUg2rJr2fXc0/ftd776u/UX138tvrhy59XH715k9pq40V1XWMMHnzYUTXjt5fXz37w89rmlA/WB1750Fr264vr7//utfXDG+bUisaAbvPkl9YZL3l8XXvum+ql/+cntd0jd61lv/993dkYu6Nee3b9xfFb1o++8rW6+taf1vv/9vX1qR0OqTf+4+k15Wv/Wm/+p8/Vyi22rOvv2rhe+I5/rdP227ZHgtfWe1/48vrVY15br97va/WsZ360tn38/rX02t/Wot9fVXu/+FP1jlNurzef8Jra6u8+UK8/fGZ9/SNn1BnnfaeWLZ9ZS26fWvf7oxfX21+0Ub340LfU4y74bD13k5/VWf/6D3XpVYurlt5Rd67Yt17x7rfUCTOn1brpjj1NGuHlot98q979nnfXVy+7tVZu3BRasqhWbHFQve7db6qDtxnWvxwh9fvONm2Xx9c7Pvb4+864FjmWXX1enXbixfXGH/9nHTRq6f+6/uWNX6jT3n95vfzAGWtRi6oVSxbW/PkbDaT3OBCGatlPLq6v3Hhw/fsBMVIdeS+7qt736n+ou57y/vrU8/er+s2H6/HPfWdd+LD71461tKbveUT903//be1x2Vtrr6d9uR78rc/VX8/8dB310A/WpbccUzOnLq3bd3x0ffyDL6ut6tb695eeVv9x1rfrAU9pOvDMTevQ5/1TvRLfq8+u/9uAZEpNralTltTWR7y2znvdEXXR351YL7lsan3pk5+oTb/wt3XUGz9R1754l/ry699Qvz7mffWpU+7XVPZH9Yrj3luXPfng2mX68rpt8/vXv/zLO+vhzaD/wzNfVq94/8fq1ONfVsec8qw66JMX1xs+8956BGtwwwX1lNd9uo44+yv1Zw/eqG787J/WsX/+znrUJ/629rmXKKbUtOnTa/q0qU39VtSds3aol//Vu+vJu06tO7/09/XYv3p//ebpz65ZM2fWrBkr69df+Z/6u/++pl559mfr6O0aRosX1tW/uqpWLLq+ps2YUVOWN2tUOzy8XvuOc1YLenmddfop9emP/bgee2pzvyP+vp6uvK0++Q+n1ydm/ll9/PPPbrwFYUX97NsX1l2LuVdL6+tnvqE++P07asrm+9XzX3FaHbDDjPpNg4EvXvzzuvquq+v3t86qx//xC2rm5f9eH//egtrvqa+qFx25XX3vM5+pa2+5qy792ffrlptX1H6POa1e8JQH1dQbL68P/9f3aurOd9RXL1lcTz7twLrmkpvryBccU9d96rN15W2/rW/96MqasftB9dyj96mLPv4/9bM759QTXvy6OnYvlrTq55/46/qXz91UNXWX+qM/fVEdtc+cuvayC+pb37mhrrrrV3XllTfWJjvvW6e97GW172YL6xuf/HT95IYf1Vte8JLaefuH1ktefWo9cPa1ddZb315fu2FlTd/jCfW3rzqutmipd38W1Y/O/UCd/4vba/szX1rzv3Zw7b3d7Jq950F16M7X14Xn/qQWbH5TXXb5VTV19px65qv+rg7ZYUrN/8n59Zb//GzduqihNWXTOuzZL61nHLxbc97gvzkGMQyEgzdl9ia12cq7auFQazfLflfX3PiQevpR81bJb9dD66iVy+vnv729lq3cpHbaesea1dyZP23zuv9We9WOtLlyZm2/0YK66/ZmfWHF5nXQA/Ze7QbPrgfM26M2/t0NdceSabX15nvUAXutsgjLlmcVYkWtWLF17bWzKdiyWrnRznXATru0a0MLm6nX1rWoFi2+qX7yi1vqO+96fh1xxBF1xGNOr89ddnldfdOSWrqs4TF379q+nZksr5WzZ9UWyxeUJZ+lSxY39VlW8+9sLpqw6KZra8m0o+rYxkgJ2x75lDrw6ivqZ8MuZK9s1h+m1a7b7V1777xKdYtnza7tpsyv+Y1jBGNTG07XXXl9bb/XE+sgRkpo6j33/g+o2UuX1qrVi1Xp3zvr9fXEI5v6N8fbP3dlbbLZRjVlVYZV5fr8u/y3F9W5X92hXvnqGCkVmlr7PPy4etjOK+sr73hBveJLy+u445rrjS6tPz/j3+qmRc1U+vKz6i1nXlBbPvCoOnKT79SpL3xZXb7xo+u4By6uf37Ne+unKxfULz//nnrOP15Yuz30qDruiPvVN8/9xzrzkutqyvwf1j+8+c11zq+3a+geUruuuKI++C/n1DUL76pvn/P2OuNzt9UxRz+6Znz7nfXUN3+0tj7g2Hrosu/WG//m43VLU7tfnPvqeumFi+qEE06o4+53e53xtnfX929bULc0s4IXvfn/1h3bPKKhe3TN+fmF9YZ/+mLNr+m181571jab7VIHHXVcHXfk/rXttGvqHS8/rT565/3btm3907fU88+8ZLXuukqZXtvuvXftvPnK2m6fx9ShB+1UV3z8rPr0N6+tBb+7uF77hn+ory+Y19J4eP2wXv2aD9f1jX5nbHO/esyxJ7R1PP7BU+t9f/6m+sRVt9TU6YPlTd+7pd2rPp1P33u/2m/KP9WHPvnzetQz73f3gvHiO2+sRStn1SYzrq4f/WpBPWVu0/sX/7Z+3nT4/Wdzc3Xc5atcVYuejQFr7U1zvoJntNoMr2zWNRizxpzVr39zbS2cs2njad1WK5r8zTrpEKGhtdpwrWzyLGt46L9TVjR09fFp02uzjR9Qz/jL19ZLD9y1SVhZC2++vWbuPKeu/u6ypuyyZkVqVVjZLGyubNaAWtPQzFRWNoue01YvHsyY1aw5Lb6iftUg/AHNutzyX/+krmzWnDa/jxnN8sbYLVPvhs7Ktk4N/dU2qRrgz950at3y+5+3DyI2X52+ZMFdNa0VyNSatenCuvRdr6o3fXHHettZn6jdNrqpznn92+qKxY1hXl3vQYiWX3VF/Xj5g2qvHYeozeIf1HkfvK5O+uf/U0941NZVj9uxvvvoN9U5331yPWzanLr/wx5WT3/KcbXdXr+of/vk5XXIU46pw5dPrQ80U+ufXru0pk7bto4+9sn17JOOq9m1oJb94NL61AXfqZuet3HtvOsj69TnP7NO2LYR3lXX1MbNYDOtseBTZ+xShz3mj+oJTzqgtvjFBfXTH+9bx574hKbjX1Effs336/d3PaI++K5v1B7Pfms98IG71cr7zax9P3B2XXHdrbX31M3r4Y88vp77xyfUvIbsHrd9vb5+7uV1w8rH1rwH7tsMsI3XdtIJdUizfrjsl/9TF35523rZpS+pY5t1seMf8Ps64Un/UV966qH12K3uVnQjlOm1/QP2rV232qn2OfrEOuKAO+qKM2fWTTOmNtjeqPbY98h67vOeXIdu0nhRO15d//P8r9RVC0+uHbbbpx5z8BZ1zS3N6LbXipr73o/UrXcubLDdpT2EzPuYNBBTv5p5cL3+Xc+pJ7ypGSGvPq0euXvTUxfcWt/71bX12NPfUM9+4T714ne/ufa+7pC66bufqV8dcXy9Zf8d6mffnF8LFixpDdXK5Utq/l0LVxmIlctqwV0LamljVWZNX1JXfufC+u+zbqy6/vL60G+3rFe+5PDaasVZdcedDUDTM1csbcosbK5X1JIFC2rRklWmZlkzbVrQuHpttmWLa/4dd9bCje9Xz3vV/er0c/+j9rrl0EZ9i+rS86+sp/3zy2rm8sVNnRavMp7NneXNmkqup+/+kNpv8zPqv95xVl1zv93q0Y89vJ54/Nl15uvfWrcfulv94IIP1/Z/fkYdOacXEffUaYU63LXoHkOY66bei+bfVXcunVUPPPbpdcCXX1lv/etN6zH7Nut619xYd2y5W/3JqXNqcSOXJQubts3curbcYnF9+6sX1C/qprrku7+o6Xs1rVxJDh259FZlPV5P23Ne7XHnlxrvuerBO/cwnrK4Fi/fufbaZfVj2pnb1dxm6ru4NbZTa0YzmNDgosagz545u6atbDpho9Pp05q4cZ5XNsPhprNmrt7uMb22mbNtzb5+US1tRDC9efgwa/Vyz7J7PUGbXhtNh4RmoFg5ozbdaEbLY0UzqM1o6S5pcLOyvn/uW+r089R3am00d4967PSNa+XyBosbNR6r5KY8Psqgtrx5WresqdPSxm40T11qWYOZ6RvNq11Wz/Wm7bRH7bbkwlqQ0Q+JhGbEWt4MVksXm8fFY9a+KTVz+kbVLDm2YfHylc31tMZAr6jfXv7Z+re3v6Muv2N6M8AtqF9ds0UdsVFzHpoDGA+GoWoEs8NRf1Wf3fZB9Z4PX1I/aB6K1ZRZ9YBjTq9jd9+k6tR31b/OeGt9tLkxZc7j6p9e+Iya0wh210OfXKftNqdM0jba9fB60WvuX/O0aPb967mvfUEzFZxWV0xp1ox+f3X98AcNyGbtVH/29y+u4/duPJmbH1Gnv3bb2nf1WtDUbR5ef/LarWvP2VvWZqc+vx40b5eGULMIfdTT69SH7VztTG6vo+pFf3ZX7dSAasfH/0392/S313u+9L0mX9Wmxx5fB2y9Td150En1/G03a6aIwtTa+aAT6/lzZrfXUzY+sF50xmvqfZ/5Qf3gpyvr4Y85pF749v+s7Zr1rEubtk0/9M317899RFvy3j9z6vDnnlYP3n232mrrR9fpf3Z77boagJvu+Zh60Z/fVTvO2q6e8PLTa8aezei/zYPrDX//9nr/f53TyLKZzkzbsh5+1KG1+YxF9exGLvO22rIe8oJX1rNn/Vdd8r3v1fTNmnWKP/mLeuBDdq+Zm81p5LBJ3f1M494VWa9X03Y8pE465Iz6uzf+a+3/jpfWXg0UdMYfXHx+LZz34Npnlx/VWZ/9ZT31RfvXiisvqs9Nn1Wv2nWLmvoz+ZiAVaHxaXN6T9wYrmkzZtXmUhZcUed//Xs1+0nPrS2m/qDxRjymvydr96ybfk8Wxq/x5mdtWw+5/3Z115PeVu950j5tx7/l0u/UHTtOqZsURLdLbPX51MbD33jR72pRgyth1rZza+OV761PX/66etDDN6nfff7Dddk++9VrGs9odKGnHVOaJ7p1Xb3/T99QN57+8frsH89t6vjdeuEj/7HZ1jCUFRwdt3WZe2AMlUZu85An1Bua43+HqfWwZ7+uHtZzY+eHHVNPTuKOj6hnPH91hul71kmn79lc3FzfXTCzHnrcc+tfXn/UvUpP2/ohdfILVz1VdGPqnP3q6S9sFuubsNtJT2ljP3MPPr7m5mr3g+vk5+aiufe419Q/PO6ea2ez9z+qnrJ/0qbU9g9+bD31wbmumnfYafV3h91z3Zi8OulVb62Tukn/63yLesSJT16dulOd/Jx7Msxupimp05GnnHz3jWk7PKxe8JcRzt3JdeLpu6++2LZOeM6r64R7bt199rTTH3D3eV9Ppuxaz3nXmXX9m95QT3v0eTVns6ajNh7SnAOfWm97w7w69Z/fVD976QvqseduXgsXbFRHvPpv6jF7blmXXdDse4on1BiHFY3HscpANOeN99NM4mqjTebX597/qnr0l7dupuPLaptjXlrvaBbTN/rtt5vtLMm/qvWryjR2xjR7taVaaXmhy2PZ0lo0Zbt62t+/rq5643PrqHcaAZfXdTMOrnM//NqGo2WKVbVAtVt+2o5H1QmH/mO94tijmm0yR9Rb3/WK+uszTq43vPzR9dhZm9VNK3asvzjzJc0guqo+9/5d3b7VpFu6q43iPe1uGTZtX1ILV8ypk1/11Hr+u0+ro/67aqtm4+BvrtuqDmsGvm6d7s2j/1dTNuyvJ9xan3zTX9dFs59Qf/OaY2qz/st7sgZjkUCzz+ja393cTpeaBcLadJudatvNVo2xi2++tn53x9KaMmOz2nnnbWpGY8uWLrij5i9t1hG3mF1Tly6o2+5YVptutXnNWLm4brtlYc2as7zO/4uX1blLHl2ve+Vja7NmqrfNTjsVkiuXLWz25i2pTbbeopptcY2tWVi33tpcb7VpLWum/cubNcTNNp5RS+bf0UzFZtTmmzdP+pbMr9vvWlGbztms5b/8juYB0M3mcU1tN9+2dt1604bMnc2Tymm12ZbNNLRJX9ZeT22uN1l1veDm+t3v76jl0zapHXbarjaetrJu+92v69bm6ebUTbar3bdr3cmW5r1+mqn6Hc3Ty+mbb1mzmye+C25vaMzYpDlv0tPuph0rGjnc3lxvsvXmzdLmkrr+2utq4dIVNa1ZJ91k+iZN3Zt6LGseQC2acned7sWnzxcbuKHqs3Qn2Q+oBG6qD7749Prs5qfUmW970qpp/YDWdLJaqySwalialMakBCaQBLzmkf0+pjdT83h3dRu694du1uza/wnPaBbD963Va+ZDZ/sDT+2+ThN590skA+9RBXQRmrgLzNzvlwAnKt/ILbF2ONfxp01bvVI/II1TL0FnSX17Y/VOZ0q+4atvY+Oqu6E9fN4N7w75kJegLy1vNgCnT0WG0uBgWbN+J63fmBhIQ9UFHSARYheYBJwOdV9Au6/7aG0IIQAbri2Rn/tk1wWme5E5gM5odq8PUkjde+NBquOGUhcyFsQLFy6sjTfeuDVU94Wvdd3+gTNUAWOEFQH0W1Cpx4YWL212q09vXs/x5r3gvN+jZ6+Mg4kYU9cM7fe///1mwfiOZhF959pmm21aYyuPMBxehkvv5bkhX5MfT+nWW2+t7bbbrjVK5LnJJpu0cstgJU6Ai36GgTVUhNkNixcvrne9610tKB/0oAe1wGTxBUKeBGBXWveck4vDlxIAcYsttmg9JsDTucl5ZrNRMh08IB0keQYL3Tr95je/qVe84hXNe3NX1sOaXeh77bVX2xZGVv6UuUcSk2ckQM+8pBtuuKF+9atf1SGHHNK8iDy/xcDmm29eezev5Oy///619dbNy2KLFrVYGYSBa+AMVYSZqUng9aEPfaje9773tZ1t9913bzscoetkvII/dGAO134y2nTTTevHP/5xC75tt922delnzZrVpu+3337t979mz57d7OpeXBvZPd0YtkEKaZt66TwXXHBB3XLLLbXHHnvUVltt1a6xBAOmrfLH8Pa2Y9Da1lu/8bqOzHrppc/woBkg/Sxe9W233VY//OEPa8stt6xDDz20Nf48L4Nav+U2JkMFJI985CNboPcKYiTXZ599du27774jyVqXXXZZfetb36oddtihFV5GzCzy9Rq0ERHdADMNB0xNJSMATSwv4P3sZz+rn/70p8VIHX300bXjjju2nX4QRtBeFcXwfOELX6hf/OIX9cQnPrF23XXX3mytkep3p/pflZogCXBhlvLVr3619VSf97zntd5X8NLbDN73jTfe2Js84muDJaM4kjAmQ8XtPvnkk+vLX/7ySHj8rzxGvfsCE+Fcd9119clPfrIe/OAHt0aql5A8jklj1SuZe18bMbNAnhGyG3/4wx9uAXniiSe2srwv3dyb+rq96ur4pptuqve+97319Kc/vebNm9cyVtfkkeA6aeNVsy7GnIdPzseLzyDQSVvPOOOMOuigg+qwww4b1vj/7ne/a3UxVjmYtl977bUjWhMd8woZ4Jt2jXdgpWN4LJaaihx44IF3T0vCLyNs8iY9cYQ3lk6nbMrlPHHoJ14bPqGxruMYKXyyKCqOsTrqqKNaA0DOu+ziHcfBCuoJawZI09Odml3kjC8dpT1wEF0kHq9WBGPxStF1jk/ujRevftLR99Km3XZrXpJv3j9lrHjYQ3nZ9HDxxRePucrWFvEcinYv0TEbql5C43UdkGnAb3/727KmoqOZUwNHDEj4xWD1pvfez/V9xeg4unTVKQZ0vPjcVz3W9f3IGR8uuAHBlGrQDBV5M1IMFBzQSzpO1zhFXtHbeBoQsgouunIbDgupy0SLySxtMhBYdJc2EkMylrZ2ZXlf5QfOUGWE9CTCUwixAKwBjOsINAZE2lAh+Ya6N1Sa/F0+yXNfyhotn9DtV5x24s9jIUeDwiC2Izrec889245jbc2T316gqzs9JT1xZOz+WNqHv9At2z3v8kl64vCeCDFngGEyIPBejzzyyPaa8R9Pwz8WWaz+tNxYiq6bMoRCYB6jW3D/ffPd8euvv/5uZl1QSOwaEPdypADAjOZQHjDVI6NzaCUOD3HCaHgMQl5156UI1gKB0+L0cG1OO9d3rD5Gd3p2WET/3Oc+V7/85S/vpdduvSJfnat7SB9LCO9eWkPxSdpY+PS7DK9a3zvvvPPK1O/+97//3TLud90GzqMCTIAwytvTYa/HJz7xiRag5sRDhQAw8VB5RpqGRry64cqMB5/haK+vdDLm2l9++eX1la98pR73uMfVZps1/0Izxs68ruqtnrzpeDUPeMAD2iWB//f//l/7JNjWixhddZc3+suAo27yjLVtsJhpJ5rqhIcDXfdj4MfKY13JbzR0tcUDC0/+TjrppHYrkHZ1nYHR0BvPvANnqCjfCCqw8J46XHLJJfWBD3yg7ViE5r79NEAhj4OQCdXhXBgLaEIDMAGw6w5by3G/2wHGyqetYB9/tEOHI6ODDz64HT3TCftYrWFZ07v6Ck94whPq5z//ef3oRz8qT57oildof9Vdd91VBxxwQN3vfvdrF921D1aUDUa0Ez1Yo2N5XEtPkOYgJ3mUZcg9qfpM88cQrnkcvH77udDHO/TQSX2DqdQB3Ri5YN096f0M8G3j7MMf/vB2y4q6qecghMGoRY8kuqC0Q9aH8j0hABLWHjC/8Y1v1Gc/+9maM2dOu5MWaCwEUzawCDEogMKYCYSvfEDbJjY/yjnkZZyMzPKZZtiGYf0GD51gXvNoXD51EaMVoIWudGnidAr1CZDd62dQJx2PzOxR67ahn/UaivdQsmKIdCqB3ujs2c9+drsv7HvNV0vvvPPOVtb2+9EXXcrXG7TbIbgfncEJGTkEepTm+OM//uN2D9oVV1zRrqEuaD5d/ZCHPKSdAdiThk54hX7kixYc5Lqb171+BfWBTbgXXMeYpi39qhu+Y95Hdcopp9RFF120XutOkLHwgAMg3/72t9sjj60BRudj4AKyVJLwCV3sSAdAy+E6wHEN/Aycd6Ls7LZrVwdgHO3oNpLikzrhg25CFBzj1Fuf5OtHrH06jA4s9MqkH3UaLU9tiIzVP7rTLhsRv/a1r9V3v/vdtm0PfOADW2NiJ/v222/f6jrecvQXGmK0BYbJuQ5Mf+HnHj7XXHNNXXrppe0SBc+NUWQcvX/oYZD8ymfwC+aUj8zDL7pwr98hxrS3zeNZr4c+9KGt7GIc10R7QhkqCqfUjHoals5vK8M3v/nNdpGV0bIYCDRet3EOMMAivyMgkU4pgrSuUQGcpAVEHuEzWldddVX7QiyjyGjh5d059Lrgdt2lnbqLU/c2Qx9/tJEM1MkxkQJZk3FGf+2AE2ldnXnDAUa0z4u4vLF99tmnfQVHe4MtOkHDgab85NPFDnwFR5GX+zz+73znO+17lQY4nioe1tV4Wt0QHqk7/qHVzbc+z7Wzi1e812WdNlhDFaMBQASaayCJyw0AAGMNw2jHG+IBmbaZPhrlBPnQoAjGSQjYgcYRQ+K+fDnkxZOxYrSuvvrqdgpgeuiFTtNDQFUuNPFDM9dorEsQoL+mQHZC5Oi8n/XBf7SBTOlIW/oC1HAAACAASURBVBgPbWGcuvqUJwaLNwwXnhjCBh0yJja6MiZoRffRtWv5rN8IXSzwoJShUyGy9EUH62ce8XsYhAbDCBuerAar0kNP+eDNeT9CMNHFQdK0bbzDBmmoCIxiKZNyAZPLCCSuxTE+Ufjtt9/eviUOnNYTPNEAlEc/+tFlT458UUrieEMMDX7pDBRlqjnU93m8zGkLBR7WR9SNYbQoaQrgyRReaKGJFn7rQvmjBVO3DmTsiCxGS2t951fXbkePbNXDvWDCtTalXfIxWjwsBsVgQzf2ZtEZLzzGTVn58SEreoycIrvcU0aa/HiJvRfLKP7kJz9pN9TCjwV4r4XxxlMGH3T7GdKebh20QfpQ97r5xnK+QRoqgghggCWAEMdQJY3CY4SifKOiT1tkTQuIueVGOdsevBwZZQBtaAZw+LuPHmOmfEAbYyavUdZIio8XfhmpuXPntiO2KWg8OvRSN+f9CGkP3jlXp3ToftRpNDzVNfWmA+d0Irh2MATy0b+BLW1LftceivDCvfwulk8nst5pP58joasz547wzCAX45O6JYYNhtGWEF64hxn4MFq8/u70MPVTVsBnqPPUa7zitA+v8Bsv2r10NlhDFWUxWBTJWESYrgWgARgBYATlpAVAygOMw5oTOkY5hosHBDQJAQxAOxfjiSbPyXXoui8dPQEf4LeT2jRRPou6+PDsGDFBGWXVPbSloY1GztvMPT/uRQY9t0Z0qbyAxtrQGRGzCZDJtM07prwsywamfLxjD07ihUfm4siPrgxuruk/eehPiHwj45tvvrldzzKY8e58Kww28IGNLDArj3YXh/gEG2JHQurUTcu9QYs3WEO1LgRt2sZYOUwFKJrrb53JukIUDjBAlth5r+GSFqCoq7IBpqdQDJb1EXwAEfCtjcxrFuJNNYUYrNCWFrCj3e0E7kkTwqe9mPwZswTIM7K0R8saE6PFsNAZTFjrZEwS6Moh0Dl90RM6znPPQOTo1RnvCh/YwIfRggsbnnnh8e7RipEy6AUjXU8Of/SD29RxEONJQzUCrXQBmezWsBgR60wMF6Bxy22I9K0mIBMAxlSiC4oAU3qAIi0h4FfWa0E+b2G7A5ACplEbL9NQ5XUKAARM5wGe8tLRA1bBeeiH32Q8Ogno9OTeOxCgwnM20PCKPdWz7mQ6SF+ObIVRXkCLnuhHmiM6ct7VZc6VMzXMgMarM4iaHvpWGKMFJwnRNz6COPjs8kj+QYwnDdUItMKgUGwU3gUMQwCcFsftkQEeHo+FViOq6WE8IKzkFwKUgDIgQtt50tvMzQ8jZDczUNrvw1DqAEcccUQ7ktrzw0glhIbrgFEspB3txeTPqCVAtgxMDBa502d0SM6u6cwueAMZnTFaPHDTNh4yo5UBBMaUH0qH9NWru2BQOvx5GASDdtxLy2eC8bM8EbxprHq7lm+iYGHSUI0ApkBEoRQMIPGIKBq4xAEcYPJ8rDd58meUA0rAmdsslMdzypoVesqLGbEu7YDIvd5OwFCZZtgJD3T2+1jPwgM4UzblwifpI2j2ZJZhJAAPsGBNiu66IfIl95yTvWB6+PWvf72dutE1jxg2rHl2Pa3gILiDrdBCJzqld3kZRE8I1UU+U0P4g0P1NCWEDbwMaKGlXPCI7iCHSUM1Au1ws2OIZKfoADQgBJ4YnKT5kwQLoB45G/HQABhPDxkWQAOklAM6aejncE+eAAp45cm1+livMJri51M3ngiZZuBlZ7UAlGh129HemPwZtQRiKBR0Hl3QU4wAWQvipNGbQM+m8x7QWIt0DQ9e9TGttxlYCA08ggfpdAljSZMP79AP/uAWJiwbmIrKYy8YPrZXeKqMdvKjPahh0lCNQDOAAQQBHYA4z3WAS+FdUAWgjIspoT1aQMMbsuHTFIBBCTBTldBLeXwSpA1l0NznpVk3M9UwRfQo3QhqsZ9xtG6BdgAdmhtSHL1oUzpgV37dtka+3bSRnIfecOXXdL/3Hp3Z5sALYrgMaJYMfC2TF55lA+UcQ7WJTt1jMENfO7r184SS0TKo8cQZMZ4cPvOaBzQxtsorFzriLs/cj2GUt4v5kchvLHkmvKGKkgizK+AIIwJ3zzGWEOWMpWxvGUaLoWKw7J8CICMcQ+Jxs1EuhkTbekGCXsDTbW9v27LYmjUt01BPh/DxFMr6VsqkfcAndHnKExmnI4R/yrWFBuBHfTKoRDbSHGSatN6qRg696evzWh15w7xv2LDpU70YE53UNJGnHN3QibbKQy9pm/S0R+xa6GIKFhgti/0+IWzri1e7DGgGTQNa+BgU1Q2PpHV5uIePQ155wms85TehDVU6FsEQWJTSVYz0hAg11/2KAyRGC2CAxRRAe6wvcf+NqtmjpV0O9QeELmC0IUBxP22UJ9cAhI91CyOqUXpus5aFR16WRkf+rkxDO3R6aaPbu36iTL9C6kkekVe300iXR+jmjT76WW+8o1d1Y4QYLE+V6Y6R4oHTGWMSLzztTBvE3XYmPfnQxYdcco/BcvDqGC1GIXu0uhtL0Qh952gJGcDcSxvaG+P4M6ENVUAXJRAUBbiOwJKHzHIeBY2jHEdNSl1SR4VNAbjkFkAZEyCY2xgTC6BGuwCGcQggxI60C51ck4HA8OAjnWxcxzCaIkqLwbLnRz4BTYdrh3IO+XPfefK3iQPyo+3BgLanQ6UtqWbvddL7Fatz5O48TwBtPYAN6532TpH73AYbPGS6S76U1a7QYkSc053zBNfyoxUc4mP6yZvj9XtYYFpo1z3DlYCeI7hCBy7R6vJI/vGIJ7ShigAITaAgQsuokTTpOe/GbWKffgIqcQJFC3Y5e7WGl2X9wjSOp+WTIAADmGmTtjsHPDEa6ZjO0ZceGYVH+DCMOoDFVh6eqYa9YJ4UBcDKOlw78HIMkjelPdF9HhhEJpFVYnkHKaSTR97qFnn31tNTZQvx1jvFymRfnfcBhS6dlI/+e++REbnBReQjr1fIrHd6SGPgZLSspzIYFuQFZdW9i8fQCN/xiie0odIhCYaQCU3odsTxEtJ404nxGAld6wleYjYNMKoasQDTKGdjaTrlSGjJMxxvxhAfe8HwMQUATHw8kcIXKMnZ1JHch6M10rqMdz71ceiM6qqO6m0dkMcq6ITptO7nGO+6jIYemaqHWN0d2iFIcw7Xjhgag4p25b1DBsyDk+OPP74d1OgodJXT5tDNQBZeqat08lIXZVw7rJ3xvmGDATPtfM5zntN6c/Lhoxwe60qeE9pQRZkETaA6LUDyDmyOdF96V4AE2a+AdzqJOgQ8qY/rtAkAhADTPW3rAsYCqz8wsDAOKNoq7obQxBut8BRHFuLUTR6d3BTAl1FNARgsX6pkIFM/+ZyHRpdnP8/VSccRyMIDCy/2MsI6d+ThfuqeNklb3wFv8mZY4JcOg1l10Qbp2iQfuUvTDsHDFzSubjxjh6fJPB4eUNoaQxW5uEbTfTTx4xXF6EhzH5/UxX5A8uNlmX667z8en/WsZ7WDmnzKR6Zt5cbxZ0IbKoImGN6ADW821PmQvxc3pa8roa2N/AOWuMsBQjoLAKi3fA7KB86ACWAYLCOoR9k2CnpKE5ApG2Ojnq4BLjSAUFr4uBaSB233rInZ3mA3NWAavf2pwzOe8Yy2Xuq7LoHZVmqUP+pEZtqko37qU59qF6Kt5Ti0STsdZJCOTDb9DtG/eqhbN+Re0rvXzqXDU/ROBsnTpdNb3r3h0lK+9z4e0gwANht788K/UZMp3KyrMBpDde+hel3VaBR0CUwHJiCjib8b9/jdZjZucEAZIMawjYLFwGUFoLQnlZPm6IIq58kz2jj00GGwTAe9nnH++ee3f5hA7oMW0mad1pMyT8z+5E/+pJ0iD1pdx6s+9NQN+sK6NBjhdcghh7R97V3vele7+M6QcBjS55KvH/FAGiqKYoBMUywEH3vssffqtF1B9Xbw7r2Jcp72plOKc6QNuZfrscRdGrxV7y6aUrz//e9vv3JpnYIBc6+bdyy8xqsM2fDyeFQM6qGHHtoaKVMWxqvbqbvnExUX3TZEhvrCcGE828kooXfMMce0f2pi64Tp6yCE/vvHPVKgqIye9oAAJpB2FejcQYGO7r0ecgN9mXbEKCVOu3rj8W6nqZ/1D1OoCy+8sDUIplKDYqQoT10iJ9NiT0jj+ZFPN8iro3XLpOxEibvtybn2DHeMZ7v0O96TqZ+lAYNWZJ269CseSI8qaywElw2SBEaICV3FUVYvaJNvIsTa0g2917kXUOZ6bWK0rI2RtSeAplRkSM7kPighumWA1NeDgGyzUN+urLrehXITNQTb3fqvj/bAgj7miSB+pps8126/69ZpfZ7f0/PXJ9c18AI+gMvIbl/J3Llz2w5FgVGYuAvS7vkayA/krZHWfaT5RtpI2yQsUHvFgxFAf7x5jLQuw+VTH1M/uLBJ1oKv7RUxpr31DS5604ejP+jp67M9DBO5GbSsCZv26YtkTwf9DANnqAiKcDyi9ZUAe43mNoaKVXdvKAAOldZPoa4t7/XRHjwA0RNAT1b9+7A0HSOdY23bMV7l1QsmrJnYyuGfii38wog2uK8z8Qhi1KQNFdJGniOajoThyqCdTpypUFdOaOS6S0uaskL4DMcj5foZ86QuvvjidnOydSp9ztPG1L2fdRtIQ0XBNida7P3KV75SH//4x9vPvwKlx/buAyUQEKJzIQJ137lYECct1wAzFGjkoyCeBrfXIZ90SnMP7Twudq+XFx7SUz/XgxbUX6c3etod77WNgHIoufSr/pE7/gauZz7zmXXOOefUmWee2e41s27FeNjSwSt0bm0li+3RDV3koMM8RdNmhzCc12B7h06sDB7yOeDOwbtDG2+yi7HEJzTxkDd4aRkO0A85a6Mn649//OPbf8hR38ip31UdOEOVEYtgbEYEDH/dfvbZZ7cA9AqKaaGvE3g6BURASdBA6RDQCTAAKeABKGGozijNfRsJfcLFLnGHAHSeigjJ1140P8pIy6grXRpwDsUn5fodM/o+CeJIiPxyPQgxOUZ/BqvnPe957StCHrZc1Pxbt69JeGKZD8nBBt3DBj3QC3xEf2kj3TjoVpC3N7gPC96Vs8/NVyoYdTysn+LhEGKU4LF7jS6eMWhD8WkL9PnHIroHK2SsjtpDjuTTbxwPnKEikACTkBiK0047rR39AYWyAdR0BTAf8YhHtH91xTDFMKBB0NIApCtk1w7AdXRDyl3d7N/yaoFvm+NnymF9xDkeAVrodvm4jy7lOlwPYtB57YLX2dSRTHQwdU6HG4R6k7G6Ro5kz2NiLAxkxx13XGtIvLlgmcBiu2Bbi4NnPh7hj/7oj9ppct6Vs64Hnzq2egySzNamvd7+gAUyJ2vyD87Xhu7alh24v3TXyWMI0nkAIoBjFCwC86z8hbuXfe0FAhgGxf/zrW3A3054sRdFfUoFn3nNW+d46AC8uokedHgGIA8utJfMBwGYka06qSfvWd1gQXCuU/G4nWsHXDBUXhVitFwzxra48IAYE4ONgK6grRmw0Bkq4OmevPBnimTQxAcOeWo+iHfYYYe1UyZ8GHxBfuVSfij6g5Kmrhlk1wcGRrMzfeAMVdx1wAQ+IOGKGu0dgJnRlYItBtsYCjD2BTFa1rYYFUZrOGBSxFDKAGAHoOEnD37c/6997Wt3v3NoP48pk7fbux+so2ygHA70gwLKDAiRwXDyGIT6wgCdGOUZLeuH6p86u8c4pC2u5bMXyCDju0zKGMw8zbIdw1pMgvyhlbRuDAeh380HF/DKm7MIzdO3jsbD8ikfWISNBHwGGRdk6oBh7XW4FiLbtGU84gltqAiA8hkKinUQmNBVsvOAVQw0poMeX1skJlhAMT2c2zw1zHfG0Uk5570hPAPIxCmjbrws4MdPB8An6xYBpvzCulBwb53Hcp36xeinI6adY6G5LsuoJ52TJx11QxcXSdcOh3s6noGMzkzdGDxLCgwX75gOhd62uxbwdI5vV5+hLQ+88qw8nPDvNDxwnqqBjHGEj3hZ8vfSliaEftqYtnXzr8o5/r9dGaOOZ+oz/tyq/byMJZY4E2viMXAeVSpLaDFQESDBRXHJl7grVCOwT2X45g6jYnT1VMh6lqlbd0RWPiAILcoJUHIfX+loA7pgCuC7Twyj/V6ACpgHHnhg2wFS/9BoCzU/XX7ouk578XCdPMO1N7TGGoe+8usSjGOt37oqR08eltAZjOgkpoXWIOc1XnhX3l0ZBQ902jVY9CYo1y3Ly8r00HfI4M+g2f3ETtoYPmK0g5tcy+ecnrr3pHd5up5IYcJ7VOMpbKC0luELmJ4OGdWMbj4k5/WRrM+EZwAZMAJGgCQtQAKadHBTA19StPhu3UwHMO3Eh9GyYO0JW0KXnjRgCz+jP7ry4O1wz7V84Rlak/HYJECmlg286MzTYlgsK+g8PC3YYMS6cleGDqQZsAR4irEYSk/ymYLy6HhbjJana5YN4MNesPCJztHhuXc9PbzoPvxdCxMZD5OGapUO7/4FAIFBARjTQ56WUc5oaiEUeIAmRiKxcoATTyrGAk3pAY980hw8LYZRBzCCe+UDn7nNFNSUw4MBZQM6tF3nsbD00E49pE2G8ZEAL4h8GRnydU1n+cPZGBMdiYdsap+HJ8rRsXJC9ONcuhD9tRfNT7wggxA+BsxsrIQ9fCxNWPjP9DBYCq/wSToe0lKP8JpI8aSh6mgLsBwCwESxngh5auMDbL5waHGV6x+jYjFf6AIzoGlvdH4CHknoB0SueXOXXXZZu25hcyKDCJAAakE+08jUES0h9exeTxqrVjRr9UPOZNuVa/QXg2Idy0DDM7bWxIjMbQYZ61n2UaV8pn29OmeQoqvkVWn58cg9XhyjhY+nzIyi6SEcwomyKaeOXfwGl6lzm3GC/Uwaqo7CAsjEuRWwuLYobj3L/ilGC0B4QNYTAFNewHA4D4DEAYxzR/iIHd0R0t4bHp3phqeIRmnAtG6WDqA+aAqpIzq9vNsMkz9jkgAPNrqhM4ZFMGhEzq7loydGiwdu60O+NuFPMzw4YXzoODTRQDPlxTEwaHdxEv3y9PGxCA+Hnl5nMIMNnn4GNPzQQFMbwqtlOMF+Jg1VR2HAAQhAEWWb/1sXkNZVNrAZQS20ehphfQswfbjPaybyW2sCDjRcZ/oQPgAU46QDBPyqJL8AbEBvqsGj42lZx/J0yKKuqWHWtNQJzZRtCUz+jFkC9BSdi3NOp2TcmxZGPGPGxBYEU3o68+ccPulssLG+RU8CvceQpLwYD/zDR1qvXnlW2QvGQHoQhD4+tjwY3FImdUdnIoZJQ7VaaxQZYAAJAyE4zxFgRvmri7YjpOmhBVBTN4vlgGnK5vDKhjUlITzQEvBBD4+ASR7XvXyA2qKudTO8GECA5NGZAlhHi+Fria/+CS80hfDJuTj3nHdDb9nuvcnzoSXQlS8dRWe8IAPh3GZqyMuCEZ5WjBZqdEzvDnRCC06c069Y6OKDkTJY2r/H05KH0eLpmyZmK4xy7sVA0nswGR7orsl4KmvwXp9h0lCtpbQpvWtYKJGnZQHUtM2oZ90CaBgtbnqMgrLAAXyhIS0HwMgrT8DsnnR8LOTawCrmTZkS4sN48e4S0HaEj3R0AtbwkSakfuEtfSgD2Gae/LmXBCJDiZEj4xTZMyIMFm9LGp3Z9Gm900Aj0JWAFhqhKaarxPIEN9Kdiw2aPH2DmSUEHncGTgMaj06AK/kTw5A64QkbAtylHa7l70eYNFRrIfUACIkoUxolm8ZRPGPle+MWQ+2d4l1ZaOWeW08Q5O8CAI0c0tEWSwsYw095T4esmVnwZ7QAj0HEx/TQo2tpgnIBtxgw3VMH5+GHl9CtV5sw+bNGCUQ/0VVXdwpGbwYwa1lwQXeCAS3TQzqLnugHPWUdGbTaQs2PfN374eF+pqAW4WGRZ59p6NzGs4NTukczSwfKJ63LK5gQr29cTBqqaHsMcRRHsQFLOjpwdZUMmJ4QAYz1JusWjIn1LF4QV1p+dJQNENDOearoviC9CxrnphnWLYymRm3G0dTQXhyjNx4MEj6ACajKOaT3BryGqkNvvsnrVRIgR4HMoifn0oMHsu/qlM48mKEzX16ABV6x9w5hRLno2hTPOYMTnKCfwHuLjpMmlhcuYNDSAQPp6TVs5HtdsJB6ZfBUb/XFA920K23p8liX55OGai2lS5EBovMcFO4IWKNY94EJME3beEEMxNxmdANM4LEBNGUBEyiVB5iARbVdAxSACV3A4osPQOa9Qx5c1i1MM7JugY4Dz5zj061zl3bLbPJnSAnQr9CVF5lKlxb50plzg0XefnBNZ572Wuu8uvG0TNtMDXnGjFb2aIW5Mug6gr0unwxK8oWnfLxwnr7Ffp6WPXu8OV44bGQDKT7yx3AFh7CyPsOkoVpLaVOiABwJQMFQUKqYUp0DoWDEzH1ABRhPbRiVuOYeNc9tjFemh6EdegEj/jFq8uATUKVO7jN49uH4UgAjqQPYm8VwWWzNFyfQSP2BHA08Qsv9yTAyCZBbZEcnZEg/QuTqnLzpSOx+yvC66Qs2rHvCgnXOec06U3dfHdop55xBQh9WorfgLdeJ8feU0gvZ+HgQxFDZcT+3wR8vPAvnqWfqp+z6CpOGapwkHVAiB3SMEsBIT1ryAAmlCwGuc8C0buGwS909m/kOOOCAu19UDQ08gFJgUJLuOrSlB6zyJ6QD4GMqwEgBJDCIu/VWV7S7wA6dQYzT9tQ39VfXpK2vekcn+IZ30qIP1wnq3sVDV+7272Wt01TRJmPTNp6WgUbo5u9eo+tejJnz8JcvRsw5L870U8zrsvBuTctXRoZ7QAOHwSAaaavz8QoT3lDxSLpCooBehY2XsNYnHesJPCxPiaxrARnXnMK46eMVPNJG38E48ujs0cp7h+FDzulEgB8jmLTk63esbunwOhrPMR0RLgRxzl2vi46F7ngEdUt7nGcbQvTGO2ZMeECMlvNu20ZTB+XoVbCmyjgyijBoQDOIMVgW/ePpq5t6OchZeefjHUZjqP73Sut412aU9Ag2AmLVnXNTPZ51CPJ0D3nWhSBHWfUhs6deUbgFVUaJkgDTNMB34XlA9uEwXHHLhyQ4TCI+6dAMk3UJnps9P16WtrHUnyJ4ERYw5zZTAN9lMgjwFIFR3B2Vh2G1XpPpWfAAQft4HTqc9R7rgZl6y5O84shd+iCFYFr91JO86Vs6fJuiwcXXv/711vuBB1NC+kn7RtKeDELKkJvyBqBgy32Gyie+edv+5NfG5sMPP7xd55TGgIrVTdzPMHCfeSEUAjWvNnK6Ns/2VMNI0wvAgHI0SlyfAo8RAEiAEQMNUDIoRkv7YizAA5H1JQvvo2kPugwhMDlXFh9HAObcE0NeFnffpkELurwsC7rKp6xF1145r0+ZdXlpCwyoG/n4rI5/TNaheYlkmKDOMQCjkV/Kr4+YnNUxBkPbMoOAd2tLdJaFb+022IhHE+RHB9acw6EYP+nBBaxJs0eLgeSBP+5xj2s9uQyuqeto+I8k74T2qBgplpzSjKL+cYSieAE8kXTC3o40qMAEDm1yBChinoEYgJwDgza4BtyxBKBkkAAMDfSAMEDTqbn3XP+833juuee2/zqSl2AHyUiRQQyPdhiozjvvvPYvxxnYiRzonq66gb56cd29P5bz4WiGv1geXptgjfPTn/50m2YgYNCSdyz8x6vMQE79CEdn+/znP98q89RTT21HmPFW4ngJ8b7oULTQC8z7Kjfa+8OBskuHXC3UOoxopp4f+9jH6jnPeU67TqGu5DwoslZfdWJkPcXicTJS8UK69dT+yKCb3m1/v8/VL3hInDq7dm5Q69a/ez6a+oe+Muh2YzSTBpfycggs5jNQtlNYpjD4Ofod7m3S+12bhj+PghB9bMwc2gfz4330Vo+go9zee4NyHTAEGDpeDp0tno92dIE12vqHj9gRHjyR0JYOlGJyFqxL+N6Sqac098faMUZb55Hk12kNXOplATgjv7JDyWsQ6k++awrxsOWhJ4HMHYxCsLI2eohs0HAOB+qFNxk5wtd99YhXbwGfoTI4JF+buY8/A2eoMvXQafItIPKJoHtBsK6B2cuvV1fuBxS993IdZQOD/K4dQJm1AoCSdl/8QrMbK9Mt1+UT4KcOyrmfURvfec0eHutXBoQunS6Pfp6rK4MuqKP6C9pE9ml/77l83bSxtk05dIai1eWd+6lfW8meH/JOUH/6jy4SBwvydfOn3EhitB3Ko8sIiYXQFOd+6uG+fNqlHY7kd69fYeAMFUEQFMMUT8paVYQcAQYgiQk03kOE6d5YAsChJ07IudiBlzz3FaJkMaMRw+G6e697fl80e+8rG1A67/KRt0s798nTuTZY2I98k7eXR7+uydqUxOjO87OGoq4MFx0I0Udk4Dq46MVA7/VI2tXVNfk4Ql9553iGr3giBu3UNq+DeVhBzmQa77ufbRo4Q5XH0Hl07oVc1h4YgJPgBB0s5+4RcIDqWpA22gBkUViXnnN0k4au816DNlp+/cqvLZGTJ4G2LQj2KSW9X3Xr8qVDMtZZjj/++Hbj4he+8IW7v8tEBzG60bf6S2OwxQnuJ0/SRhKjA4OwAZ8Cvq7Rc57BwbljIgZtYKSsBfpjV7MbG4kHoT39XyXr0SgX1VM/j+0B86yzzqpnPvOZ7WsGQAGE4gAwoxdhOs99ZLvnPWyGvVQmiuFpqA8FZuoRoCePeoTvsEQH8IZ2ehTuKZongdYCTbUz9R6kKpM/GRu8nva0p7WL/95ly8u9vC311iaH/AYbnhh90SF9MXbSRxuUYajQcuAXHOBBjnhmTQcmYtBGy6uf+f1rjsMLzfbhkZd3R7Wt36H/NeiRgNETKAjJPp8TTzyxLrjggvryl7989w7dAFFegpQfMAAKIN0HbMYFcEcT5AdCdJR3AKANmej6TCxe0lzLi5e6Pn0SfQAAIABJREFUTKRAvjqYzv+kJz2pba/BIQPAILWFbNWLUeD5vehFL6rPfe5z7QMA9TTq22vnCaYtLL4qYac1HQkGHO2l0xic9sYIfxg6Oqd7X0Pw2ouO7OmjKVLwGLyob3iPkEXfs8E9w3/KKae0mFAhMg++ya6fYeAMFeHwqKxPAZf/4rPHx4ZPO5IJzsa0r371q+13mgAXYADTqMpYmb4wHkA5WgFHMejY0f2lL32p3b/j6Zj38/BRN6DUcfBJBxitUeyX4tXTG/tk6wlPQto+SMZKnXR6+lAv8lb3pzzlKXfLXv3tDbNp0StKDIp9eNa0PG73msjahBhKNOzlsunUJl04443Oax5GwCGjP9EDbJAxbDPQrgcBDwO3M52iCQowjVTCUMbGKMpNtbgKNAA9t3ktxCsHawvMlunqH9sk0LeOI+ZZASaj5YN5G0IwIMQLIEfHoAWYGK5uOlPqbACxmTW78J3Tmb1BsJG1z7QPXWEojCUP+oK86bQ8LOunVzcv+jJccMIw2vHvHT07vtcUUmdx6iB/6Of+mmiM973wFJOjgV6IbMeb32h2pg+koSKQCO2+hKODed2GEfE+m7ULoylD4rMqXhfpuuHyE3wvMMNPHP7i5NOZGUeG0fd+GEneFWHbhOibUzGsKY9POpg01/gL0jN1DM91BYiW4Rp+8HekrWvIOqFu8Qp8DZMhsUhsX57pTbDBG4rOurigGwMlfbhPNtFN9zxpZgD4+OSOaSHvjoeFjykiPKKv46tTDABaQuQeHcirDoxW7k0owY+wshuEoRphW++VjaKNbPkWFDedMQEWh9E0RqtrQIYCBhCi58g5ZoCjrGmh72RbGzEFsDZi1AZQxjEdwMibKSk6ynfpoZlOkdHU/ckwdgnQD512Ozo9WDqwhAAfpof5fK9d+jwgU3r6VjYGIhiIbrq1cg8vIQaNITJwWpowaDJisAcb/mkIHoOh6Dk00OnFhrRgxvmGFP7gDBVgxaBQNMVKAxjej2mAdS0GhFvOqOT1gAARAADGdQDuvBu6gApw5TEFsLMbH50BfTuo5zZTUR/4F5RVL0bJeeoprZePtMkwdgmQbwxV5E7eSUM5f5TgJVw68VDGwxteuAVyQf5ueWl01auf6E8cQwMfjBY+PC183LfeynDBIU9L4K0rx9iJE0Iv1xta/AdnqMynKTidXgxgFE357hvdHKYARlOjp4VkwjLSCYA5VOgCE80c8rqX+54uMVrWsxy+P2UE9fkWvCwCq1cX/AEmmkKu24vJnzFJgHzpMl4OmZKvdGkMk1gwsMCFRXjGxBSOofLkkEHhgSdvdIceQ+Ra6NWZdPfxDDZMB/FwWKbwxNUgdvDBB7eenXymhF1a6KR8y2gD+/mDM1RAScEO4OgqOwaAjindNI13BSymAEBqlPNtc14WA+YQAAVt5Rw5b282P/gErAFUeAMmj45h9NjctSdQ+JiCGk0zDUUv9Uz58JiMxy4BunGQqSM6zFTbdYwQr4YHZHDxrSvrWvRjWshoeXBiehj9dGk4Vz577sITXui11wDlQdA3v/nN9v1Fi/3WOT2FdZ7v3mt5aIXv2KUxeCX/4AwVFQAEpQoBpnMgcg8oc0jnZbm21uQjZV7CVI7RMgUw2vGGEuQPqAEaL2tPQowMXkZSRxdY0hnG/C8gQHP95zZTQ/wy1UALuJWfDGsvAXqJHqIjeot8gxf3pIkdcEHHjJVpG2zQkek8gwIbDEpCaONFf/TNOKHjHj7hK00eeR08OgOm/Vm8cZjzDXV8LPxn0MQLrbQnvBMPdS/1kme4cinfj/gP1lBFIV0FOQcOIcAMSADGPddGRN6Pb0sDjDRrWtYsAKc7ynVBEUMImOGLj3OGzbk8zvECTHwswptmMFqMFcOFT6/xS5vaBqz+QTNtkJT6iHPu/mQYHwmYpjEmjBad8YYtxJsazm0Gm64xwRGu6CjGLxhLbegoxipG0z20rXUykB4E8bw9nMHDEQ88Ou4ueYRf9B4sJG/6QK5Tl37Gf5CGajwFbg3LwriR1D4ZwR6ZfMI3i6DtjeYHYISALqBoE5sf4Ihx6d7LN9Tz4X2jtKmG/T6MVgydMoCNT6YRaHZp4SVNiBHDszdPm2HyZ1QS6A5oDIjPzdimYrsDWfN+TOk9RBHoIWWcx2DRX66jo+SXTlfS6c1giY/FeIObdB4dPrAoGAClC8oHLzGCoedeNwwKJiYNVVcrYzgHAOACAu+/mbYxJrwgYGBIstbkOgFABGWdx4DJAxwAE2DJF0Mi3bYKC/C8LR2Ah4fPox71qHZ9pMsnAA2fdIpeAKIrz2RYewl0MYEa3cKGDaXWtBgU61gWx3lBpooZVOSnixww4OgdvFzL08WKbRWWJ6yrwh/jxdOCP3y89tT1tJRPCNbCJ9eJk69f8aShWkvJBzAUmkMacDIm1prEgGknspHOKAc0QgAJcDEi0nsBk+uUYVR0CIutjNWll17aAtNIjc/cxv03HQ0f5QV8QqvL271BAaW6TNRAptasyNJUPcF1dGB66E86bIcR6MnDE94WbDBaAlopE2wlLXEGtq7uGCzX9mXBhS8cOLde5okyDxzPDFZ4oOeQ1q3roAxek4aqhcTYfgIWRglgHDECiSneE71LLrmknSJmUyfQWLfw9DBrVgGL2gQgAREjBkB4BJThz2AZKfEBTNNQU1JbKYykFvytkySEpvLhg77z0E7eyXh0EiBbOqcTgTxdR7e5dk8e3o+NpbwtnrIBzVqnAc16ZPSR8uLQwAsNenMEI+67l3zK2E7hbQwev8Gtu9aZBzThoW6C8o5BCJOGai20QLGCON5QwBFj4H6MgTTrCda0AMZhQdziOC/ImpMQuqERA8IgupdpQsAozTkjlmC9DC+LrTwuj8u9pmFE7QKzy0+HmgxrLwFYSIiRiq6SLg5WnDM4jInpPHzYokJPBpmuzkIb3eDDeYwKOtFj13AFg7w9Hr7BzHYbA5onhnjYEZ81VbRDR/36HSYN1VpqIEYiIw/lAosAHO47AqawY3Sysc8TIuD0uNlaE6MFpAGK8kLi0BADFD5A6X6MWurDg/OEyHqFqYY1DN6cjaUMpKlh8nbpTvRz8ohctCVt7I3XRTvpIXxCv9vxh7qffGLGxEK8p3qeIMLJvObldmuQeUtC24RgAj+4E+cenq5Tl16+pqD4wEUW4nn51rRgBJ3Qglch3r/z8HaOd3eqK208w4Q3VJSRoGNbWCbMLjCiqORb13EUOFK+OhWD4p0vC/EMC9ffpj5fd+gugqa92popJz5D8ewFZozj1772tbYDAKoR2xNK3pzd8MCmnM4S4IUO3oCbUbvX+K5ruY6EvjaqLwx0PQplu/ronss/SCF1I2dtMC20f4+3RUem8ab0MGKqqM1dAzLStoSPtySc88ItUfC0bLFBn6eFR17K1r/khQ9PniM7cc5j3EZaj5Hkm9CGihIpM0qKVRd3p0EEEaVEmCMRTr/yAIwFUDFjYK3JSMo1twiqDV1DPNJ6kgGZKe/cY3NPoXzdQbAQz8tiHLOBFSAF+RmuGMrQAkrngxC0S6dVH/WygGwqI627tjcIdR1LHeiOl8Vg2a5CFzwfRssCeQaWsdDulmG4ePn4WEMjQzzmNg9oDGzRd2TtGk7Tt5yPd5jwhopwKBAwnTNarP54KW28BT4aeoyE9QRrF9aZTNsYKh4Qg9JrjEdDu5vXOgU+eFjTIktGK+sW8pIxYJIrOcsziAYghrg7gOlIpk+8Vp2726Hci/HtymR9nqc+vTyl5556krmD3hlhO9Tpy1onvVg28GlgXlfK9dIc6prMEvQfPNKnGK0YR54d2p5OnnDCCe3nitTLAavZ+tBvQ3XPSm1aNQAxIRFMvCmCBUgLyQAYYEbRue5X1bvgG6oOua9N8QK4+qZ/Rjaj3Cc/+cl2Ed6ahfWEoTramoAaGaDvkBcwufoMFE/LO4f+GRn4jj766BaY3H9yZKBiCFwPStAObQsmxF7svfDCC1tjn3Ynj/uR96C0obce6fTkrd4MiXo7TM/oAuYNMjDPE5JnqKDMUAEPcsh9WIALwT0HHp4qW+s0NfQE0UB21FFHtd6W8kJotBd9+hlIQ5XRgHKs7di3RFkJAScBOiLQ3F/f8Zr4A0TqCJiCdjlnMLx+ob2mgWILoJm2jbQd6AeYypCPYEQGevVLPTwNcu1bWkZV04snP/nJ7UgaubeFB+RH26Jv7fnIRz7SGvbDDz+8/dOPeIO91VVuEAPZpz3RCbk7eD0GZJiAEfelK+MYTZvkT1l0lQ0NsxNp6IsFaV7Y19f8y4/NrNZTlRmEMHCGivC4nNxRlv5DH/pQzWuejrzkJS+5+9WBQRDc2tQBULWTsQKmuNdrQ3NNZfHArxfoRlFe1kc/+tE69thjW2M5KMBMe9SHJ6BDZe3ttNNOa9dxtCsdLfknUhzD0a1z951S6UPl6eYf7rwrm+i0q38DmDy20rjPOPLwTz755HYH/Pnnn99649n2Mhyf9ZU+/itka1lzQmOkuKVf/OIX2+9FPetZz2rXceIp9LJQZjyPXvq5HguPbtmMpBnddLIYqdBOnlyPJFYmspG/95qRMmLGo3PfuemndQmLqp///OdbmXfBnLr3M1Yf9VdnXrWNkzY26mjSBW3uxjkfiexGmqdlsPqny2+k5YfKN5J6jiTPULTJJumpe67FjH+MVPc+j866mD16NhoLwVby9SMeOEOVjuIJiEft9gYBZQBLSF2BryuhjReP0FHPtK1b5+794fJ08w91jq4DrdDoXktjEBlGedxzDpQMFhffwrQF/kELaZOYB+i1FEH900b3eAfidXGEDx7rks+6qPuaaDJAuZ/BK2thBjEbSOFD+/sdBm7qR3AEY77s8ETMdYTlfix8N228BNmliZfQO3KPF6/1SSdtwVMbGX+d3QGcDJnF2xiC9Vm3NfGKPsTW1yz+2mahzt17OQ+t3uukjyWO7IKD0BhPHqHZr1hbyDRt9TSaseptc7/qN3CGKsr3NMqmNI9Ps/+Hu+p+V3gEmzLjJUSGEM0u3XXBZ7zqOxY6QMlYaZfPiDj3hNAImqdDY6E73mXSccQeoZuO2HvmOltWunqKl8AAj1fgRcFcl89QaePFr190IjszGe8oevqc2YyHFv0MAzf1izDskHVYlyCkCBFAu0bEtWO8QuiFhzhp48VjUOholw5ov5U3/A0MkfOg1JH81clhg6Dp6jnnnNMaV16g+92gPeNppNBGr5fPUGndekzEc4MXj/Xss89uN4F6s0Hf67eRIsuB9Kg89fME4pGPfGS7v8gU8KSTTmo7VdcoAU/Xu+oFUxcsyq3pfjev825+PHr59uafaNc6Pq/AIrqtCk972tPaxdXx7uTjIRd6c3gi9sxnPrMuuuiies973tMakLSDfnQ0nUreeIvjxZ+nSV5ohw/e0jekQI481iOPPLJ9qJU29xsXA/kHpADgIBwvWH7605+uq5tXTxgwTwPtugYYr6GYIhIuwCjTNSgBkLyO3JPP9VCBUaIcxhEfoPSIlncXsLovDEcjfMRD5Ula8g1Vj3Wdpp0Or9aceOKJ7foPuWijNqeO67oeI6FPTtGZOtvBba+Z6YkNkb4D5aNylggOPPDAsp3FJldGS15TROWExLAVuvSJvnYnLXnJwYGPTaY2znrJFx970DwdUxY2IzP08HGEXmQrT3i7l2t55eln4KHyqr3CY/qvfkLaNd51m9Cv0BAGhRFSrDh33zpK/qnYy5wMly8dAo21Cwt/gGl+rXxAIhbEMTDuE37AEcAkzWjsReIvfelL7dMwazf5NId/RJYf+OVHC12K7dJLujYkX+qROgUIbQX78GNXvPbkMbX6pG59qM6wLNWrqzMZGVRyDUZsULRZ0Rcr5IcNhsRG2qH2AqEXAxYDpe3KopsQzISPNVMvmucVF7hjGG3xMJgJ6oZO1lRDC8+h5CuvY6h7Kbs+4m79tFudgt91wX+DMVQUBzQERvmuAxjbF0xZjKwerduwBpQar/P1BoKnCOUDii4gk5+RkiegAUibIj0aN2qafjCOvgOFp9AL5tCSnvomTYz/ULy7edbHeeohJht1SrvXB//R8FDH1Fc5dWVoGJl0KufaYZDxWpKnmDxw3pWBJp/AUR4tmAoelEv58CEL6fRO17ARDBo8rZ96kwBGlOWd4mHg5J2ET+ilfGQsXXDtPOltYh9+tDWhF5+918m3NvGEN1QaT3FRJCE5KNooBaABAsAYRb0Rbt+HEY/7yjW3OdDm0YAxhoNCgALNKCfXeEhXJvzc49HhA5Q6gWkhYFpH80ifV5KQuuOnvoK0Xl7J3484dYxsxYL0nPejXkPxTJ0iQ3F0ythExuQtMBoC75q+4MI3oOSdO3du+20whguGlIm+0e0N7knPQOlcGTzggk4tQPPwDWjeQ5SOj46Ij7oqr6x7DnSDh8g7cW8d1te1+qQOYvV1OE/6eNZlQhuqCIZAnAdIBJVzinaPIQEYQHAPGHhXPgPL22LQ5jaA2X///e92zdGRPwEdQXp4oyPgg650ncG1e0ZYhtGjckbLfdNDX0AwDWAcQy90WoKdH/f7HdLexIDqvCufQaijenXrlPqK09npJE+ncp/Ocm7ZwJoWnfGCrEEyIl4C93TLQBOdBGeuHcFAZNHFBfylnLqYgvLyfbiO0YJR3rcBjacfLxyt0EUvNMKjn7F2pO3rsl4T2lAFeJQnAJpAYBEgAyQAiTRHF5QxKLyrAJNHxCUHGusK+Rt3dLrAdM0YoSeOwuJd6TD4pePw6ADSNMDI7Z6nJt5Ct07SnYZ2DeC6BIA2jCSoa4L6ROZJG5Q4+lGf6MM5bAQfuScWpGtf2uRcWvTHWH3jG99oF8mt1Vk2gA9GywOa0BDTW/SNBiy47tZFPrzcd8Cochbf/SOyh0L4wIa1M954rxfeb0wEn8GCWFuEdVG3CW2oouhWOs1PgBaBiSO0CBIInSdWFri7XhBg+lqApzdGX0ABTEcXmN1OgQ5+0mIUA0b3wl8e6Z4wASY+jCQ+pp94AGemq6Gbdrhe3yEdF1/1SLukp1Ou7zqtiZ96CV2Z5Tx6714nb8p129TFEM/K5018A4o3zngwVj4dzXilHDrBVPQdvq5zTo7qIS351cVXQAxmPHA8Lbzzwq1p4Rc+XVqhk7YklidH8ohzuDeWoHw3dHn03uvmG+v5hDZUGt0VdK+Acq+bDiTpaO67173fFaQpAA/I42yvCVhsndtMD7nm4hg3NNFCV0AvfIa6B5RCAIe29RF8gFRgrCgHMPER8EAvdUYHz/BtMzU/0tOm1Kt7nfPkH0uMbmiPpfxEL2NwsdbEaMEIY+IFXVNEOjNYJURv9ET2wYZ015Gl/K6jHx44bNhky3CZKtpWwWjxtrwm1Kv7eHShmzp0eUpTTloMZHgm/6DFE95QrQ+BUqbpoBdxrWlZbLUnBlh4QPaSWGtKAJaAEggF10MBM0BzzzTBoq5poU8Re1pp2okHb8uO8O4UANAcDFnA3gVozsNbO+TrdqLUeTK+twTokD7IyoBCbgxHV89KyGdwIVtTNt+jZ1zozXqn5QPyhxeB54xeBh/lHeEznPHA20MZ9fCgJoOaKSI+BjY8XcujPvjCwJqMkLxrut9WegB+Jg3VCJQAXJmKUayDIfHNI6Oce4yJtSaPt7tgBkIhoAHEbuiCxDna8goAD5CmAIwWukBpywOjlQVheXUqtGOE8A0tdMNf3i5P15Ph3hKIjsiMDNPpc01+8oh7ZSmvwQY2PKQxxYcJe6dMD51HR2hE184d8bKjO/TwSL7UVF74wMfygWueHIM1r3lIY80ztFJGjG5oi1N/5wlJy3ViPNwb7n7yrYt40lCNUKqU5Ogqn8I8HeIB2Y9jOpC9U7wswGRMUjYKDo2AplsFaYyOvDGOjI7RmsEy1WC0AJ6XhYctFsCfsujhgYZDeng77wV9l//k+dglED1H9vTGmFggt95pKcEXPhgTU0RTtwRlBbrJuWv6cgQzDBdvrGvA8OFlMYz4wI+BzICGF3yEVrdccCENz9QbVlwHM4nlU79+4GfSULUqXPOPtSlGg8KirCgvIBLbNMhoAYv1C244sNiKwLAELOIABjiUBQyeW0Zb9DOlc+4+gAClDaWMFj6MI1Dm6aEphvxoCgGgc2mOfgAN/w05RN7BhbaSvUDedEtf9Mao8LoYLQvkvGRYgYnkDz00ch5jhZ60rm7bgs0PuvBh4LTuia+PB8KHNTT4giE0lO/WVxojpx7BO7rh736/wqShGoHkozxKpWgKlkZxlM5rAqIo0uNmU0JrWfbI8IaA0iI8sHiJOqALCNBGK4YLffdiuADOPbwCLgbUiA38Flud8+SOPPLI1tOyD6fLJ+VG0OTJLKOUAF1FvjEu8CBNx48ekLXWxCuGD7qzCZTe/IOMhXI6Ds7QCq7QCg908MyAJ911+DiHQbRtu2Ec4ZInZ4OzgROfeGfBcYxXeOKTEF5D3UuedRVPGqoRSJbRABzK7wInRYEk+7UoX74ARx7TQ+6/tQSAsH5gzcK6Fm+oq3j0u6FLx7lFVXXJYqy8+AGRjaXWLPyNknpYs7ATHp/uHq0ufWWF8BEnpB25noyHl0CvHF3niPFIR3ed/PTN07IIzxunW8ZKxzS4efeQTuALDrsPU0JXrdBGK7iIHqXLZ6BD37uvHgrZZgMXDkYr31+XX1DeuXoq361zaLcZ19PPBmWoCLUfQhxKVzE46tOtkz+hYEhMEz1JZKiMctaanAvaASQpF7C4B6zSMy2UxtDhF4OnLB75T0BlGC3TDHyyF0xZeZXDAw2AlF9aDvkmw5olQH4J0Ztr8o1cnZOv+wyP8+hMzJgYzPJffe7Tm4c0Fsh54t0Q3aHnXNw9R9PAGB7oCaaHXuHBhxduUJvbbLexTIEPTzx4Eju6eMNjfYcJbaiAYzihEW4/A3AAT+oIJDlXLxv5rGPZ9GlNIWsWFGJ6aI1A+YSALWnarY1itAMo58mrLNefccTH6xqMkGmGb5/z6pSPYUJDWXFAnTp3aaIr3dGb7t4feiCX6IZ86ayrf2ld+cWYdGVp2ma6Rm9wwlAYyLzGYwOy6/AgbzTwQLsb6Fa6Y6g8vH08TEGtaVkrg4+DDz645ZeZRC/dLo/1cT7hDRUhDSVEQOhn6ILReeoIXEIXlIyJdQt7tCyCejrEyzrssMPu9fqEsg6gE5x36SStvdn84Nm9D/yMld3VwKm8P8SwdmaaAZShkc6mQwipv/N0Mudd+q77FdRJR0wHTr269e5X3daWL3zYVEpn1rVsLrUA77CMMF7BuhkvPMaR0bIPjJHI1BAvnh8vDH4EeIwxbhPWwc8GZ6hioCLEdSCzEZGMMUnmdG710nkSxxDIJ80IaCS1ZmGEsybB9feY2a5kgNEJAUOcdqZjunaOHz7i5Akv1/b3MIreYWPATCt4cnmcDaQJoZVrsTRhUAyB+jBUgmmVPWfayWPgvUYW8uWIzNpCA/aT+tIzo+CazhgJywYensAHPPB+rDVloBlNU9DFg6yyHcZDGtfoW1u1pmXZgBdu/cxTRPeDwcTB12j4jzTvaAzVwH2KWCMJuhsIUOg1FN08/ThXT0c6x1D1Sx4L4DwqXpbRzXqCAxCsMdk/NbdZU2DEQiedL9fdNkpzP7JxDy3Ac+jMXH/7cHh11igAHziBUnllU3fl1RXNQQk6i3qSGaNrtzhjb9qr46lvbxik+nfrFiMQw6OewQ5jZY3RPe21IZhBMV2jt9G0icwEWMBTWTrGC23pMOb6ouaTzrA4t8EdbBx00EHt1NCg4H682W47+nU+kJ8iHkoYhO7pWD8D5TkE9REoXwAIackTcIlzD2AAJbEOyAOy2AqY7s1tQGN6yNNyDSxdnjlvmTY/rtELj/AN6NXPEyjuv4VWL2fzsI4//viWV+ou7qUtrZ+BPHlOPEEe6bnnntvWPdtB1K1bZ+dpfz/rPRRv9XLQqXpqG6MiZowYB/cZEbpzjyfe1f9QdHvT0ECf3sXoxCsVoy0dT7wYf4Ma4+hBkH/MtmTA44s31stjvK4nvEdFeZREUDqwT7+az5vOEPIghdQHQIYL7gVA8jsACGgBh+sPMAwKT0F7Acn9blAuo2OXpjQy69Yh9cLHlAnwyC8vZHtdKB8XtNcHsMk8QO7y7de5NulM6n3BBRe0I/4RRxzRyi/t61fdxsqXPqLHsdIYSTl8gpVu/uBQGsPlCaTd9Dx6357/zGc+U6ecckqLl+ChW75f5/fuCf2qRYcv4Qg6lg57ySWX1Lzm8ap/H7E3pNsZO8UG+rTbqVJ/ac51RkbC4ZzRyqjbWy5l0tihrnMvfFyHToALoPjw5MjXTvgnPelJdxsAxmoQAiwwVIwrmRiBBW1Lm1JPaQ5tHNSgfvScusZo5VrdHa61r7eNI22X8pEDTDlcJw4dMpWXN0fO3rbgcZsO+szNoOBAfQfOUMWLsA5hbcXfZFnb0bkoeUMMXWACTC9A3R9rCK3QcM1TxccU0xPCj33sY/WpT32qnvrUp/4v3mPlOx7leJWCJ2Rw4cmYDqdjdT0/bXOkc44H76Fo4BF5DnWfIXB/TXlSLnnVuVv33vOR0ApNsfIJzrt8wgtN9xyMJadAPuuAZO4JNflKG5Q+N3DDD8ERoCcTFpkZKdOhQRFYQLC2sTYKATZQBDzd8+RLPFq+oZlyrtEHWl6V2HTKvh5PgsbKJ/TXRUz3DtiwZpXBTDukJaRtBjVH2iLOefKOJFYG/aFouYe/g+fXrcdwtGN0xGmTczpISB7X3fPcv69YmRzoklW374Rm8rgf/taALewnJD3X/YzvkVA/a9HhTThAYG3KJjjnrDuwBBgbQhygpC251v6AqSOW9jR5RxOTn0Po8iBPvMiWp2IkNQXsgrot1McfA5RgHcXXN+0J4glqP8Og/pFFcKONzrXDubacrpa9AAAgAElEQVSn3aNtCtrKh1boJMbHefh1DdpoefUzv3ZqA0+KzD1tFCyuD0oYuKkfgXH1ASTuJzAELAGeWHCvNySP9OTrzZNyuZ/rocp073XvJz00enms6TpltTf1FTukJYS2/CmTeyOJUya0cx0e5KrTk7U8zqUNQjBF5UHZ52P95N3vfne98IUvbJ9KqWOMberr2rl26HzamnZGjiNtl7JkIUaX9+npo2teR/igFx7iGM6R8ul3Pu3hERqkPFXNH6saFIZ7l7QfdR44QwVQ+dKml3E9jQAKwozLLw8BB5C5libkXtKHEqx7ySsGsO51e7H6J3xcAmP4hEY372jPQ0OcA42kh17alOuxxqHbbYcvQXD77aVJ28ZKfzzLxYDS/eGHH96SPuecc1qjGsMqkRegPbZ0aJ81rHgJ0hkatMYSIvdszPQENS8VG1DR5uXhgze+kfFY+K3vMtqnbepvHxU5k9VQf9q6vuvW5TdwhorgCMrOXIu8559/fh1zzDHt1KRbcefyOnpDQDrUvd68uaaoNYWM2skTHrkea9yt43Dnod29n7SRxsOVtenUP0J738xi6ni1a6T1WlM+MufJ8KwYBGtp/kHIfjDGi0HwTqVNoKaGDK1Xh3y+11RWHgaYbg1yw8lgTXUgD4d9XF/+8pdbD8+GWt+CUpfUES9hrHzWVId1fc9iur1ptimQaYzuuuY7GvoDueHTCGnkssD7xS9+sR0xvVZgpBSAA3gCQoYNQAjcuXwE3mtcegWDhvzKcet1CqMLkEvTOVzLF28uYKdM9PFC47549fLu93XASIbesD/66KPb9pIbD2EQgrpER/Gg1Ls32DjrfUc78T1aZ9g8iPFOW/eLm73lRnOtLjwoa6f4wKbd5PgwXIzjhhDiXZH3ULIezzaOZsPnwBkqxkKnj0EA1IsvvrgFx3nnnde+B2U0c+hQ8gMRo+JQjlGR5hhO2IwLQKcsg+PzGLZEGLE9bbSXxNcILDbLH6MV2om79R1PRa5LWupMNjwpn7UlZ2naJB6koE7Bw5rqpQ2+WJGtLYyJZQQv+nqFydTQIJRAp+jmkI6XIC3n4Z868J4sNHurAF7gxh4/eMGH0YItITS69HKuvu474omFV1u4Dz/d+q5r9hPaUAEPBepEFBrX37Wt/r5s6HUQRsrTCe63UY0HlDASZSePmIEzggi8OdMJmyHtFDcdYqyMzHPnzr0bgOE10WOyZqQj73SYidou+ImhZUAYE6+HeKLFgHh9iAeZr2FqJxnEeCgvhIb03JOejiyOzCxE++qrj9gxlD7dYhrKaDmXD10HnIlTFu1e/u45BPc31DChDRUAZDql01BqQBNjxGABBc/HFzAZrXnN7nVe1tzGmMgXQA2naMYJXfmcBzhAkXS0ufl26wK90Tl8GMnQRiPnEwVUOocg1nYycPA4JlpbujLXhoRuh6dLeOFt+VKB99lisLyoLfQaDHIIjeAptCM/18GnNLvorWfBjKkiPvnya6ahwQvPTBnlg79ePtI31DChDRWgpaNQWhSZ8xgrymPQGC0uPoMCIDqaT6hw930lYDhFo5eRTZ7QR9d1+Lrm1cU44sHTwscCpPWJ/COIvBMlaK+DvDNVJncymcheFV311j+DHb26z1DBDMPlPULroXboW9PKl1KDj2CRXp3nOvKT7jz3gjeelaepvH9enXc54dFiP28Lz25Z513a3WvnG2KY0IYqSo9iXAuU2HsvecTAaAQzZeOGA4YFePtvjJx5I1xeRqgbQruXftIDPoZRWviYUsTTAkDrWqYXGWHRS8fv8kWPgRA7Uh/nvXXo1nNdnPfy671eFzzXJU1yjUesLTnHk5wjY7E1R8bEVN/ncCyU85i9pM2odNea6DHlYSDn3bYkzX1HeFrst6blCStsuub9ZxEeNoOZlOnS6PLYkM4ntKEaiyKACPCEAMS6AS/LaAaMvpqYj9V1/zOvWwawuwEttJMnYAoPQLcxzpMmQLcOYg3EiGlqaMNcFlWB2IGHET/n6h1QuqejZb2sW5fJ85FLgBzJN3oSR7ao0GPkLj2DCU/Zq1u8ZummatY/6ZQxSTBloyM8eGjo0/P/b+/+WW1Jqj6O3+cNKAgGZsdUMBA0EEUZZ5QBwUEZE0VMNBEMRF+BGEw2gpmhgWIgDKgoDspg4GiiqeGAYOSLeO6nx++1ZrPPOfvv2b3PrYLe1V1dtVbVqlW/XrWqurdrIf741LfVRR5Wli0VdJQueJACRiDZJks0HOl1vB9T/NwBFcXRoY6efBSJclAMCsjSoiB2OlMGSmGVxkqQkGIUK+scvRQOrRSuMk0zUkB/wOAJrRw+dlWbIqbogKh6oYG2vHih9ZgVU3svFeq7+s+1kLzrZ2keQHxMpoa2PQAj/acfPYQssGwL6aE+TY/EQv2MT7rJMseHbnrgCf3xAz49sKLhfvV3LoztGvN1Lv9mmXdLXv73uQMqnaIzxDpOTAHrLDEQoEicnYALaHGw2nrA1KeE/AaVT7GURbvrFFu6vCllCqj7+Sf4QLzky6pj6puG2goAHNEYFUhZofTlYv6sQgLApH5kOet31o9d3Fac8zVV2VZQ05Pi7qdf+r97aAIqesmdQEft62OV852x6uRNF/FAJ8BDazPIK1TOdfw2817q+rkDqpQj0KhDxQ4gle9CpzrnHHfPU9M3mWx8ZP3wHVgFoih1rHwUw7UYsGRJ6WT8s4bcV4/S0TUl5JvwSpCyfFk6ydPTSqKgTpWt/HJj/lxMAvpdv2TZeOCwln3bnBVkumfRxvtxXjkZN8rq58DIA7JrfRuwjHH6SQfwAYoech547uHBp4XPuKDkHr10OE+H0lXCi4+0NYXnDqh0jkNokFMyh07SgQKFk0+aTqNA8svHwvJPLhRDHqDlPUNPTdZQIbopgliaMJr+aFSXyrqPj69rempaOTQFBVw3T7dVsO5mWJcEAEwhvXGtLz3k+JqAl6mhBxy9sUer1cP0Utn0cdShaKeX6RLdobdZ5/5k1GqlfVn2Z9EbPrR0JiDEpxCteE+gSjIXiuukQEMH1Skpimvn7um4js0q82F5kvU0a48Wc5/TM9CiRJQJHXTVQexpl3Lj6Qgoy48nKwsP+8EoYHxungIWRWxKoSxrrTC2dWyb+9qWctb+ys14fwmQb33bNMt1IFK/WGHmhOccN1VkabGWWef6ko7Ub/UPGvVXfKTpN/m7ly7hj4+HKWe/dxtZ4/lA8RMqhyY68ane+0vhfCWeO4vqXKI0PWT5WDlkaVEiTzImuJWgFFA6haIkFINSBBTSnIvld08onzQKiA/gAlrSOFPx8U2uaEcn2rW7+w0c6SOf8s14PwnoM4EsHfpFv9WP5O66/nBNT/g+bSzVpx5A/JKmiBZuyou2/AIarj2U0AZK8XY/3mNZVhxHv2mocyvZ9MXKtofpmFd512ivKUygOqI3KEhKUmdTKCY4IGHu558Y/QZAQr6UjFKMCu0ea2tUFnzKp8pWl2xABFaenKaJfBL2aJmG9pdKylmZ8uSm5Ck8GpQdn03a7j2GULseqi1kW5/VV6Z9zskeCAjpSnnl4Wti/bC27NEyVbNow9LSr8qPQdsKzkeAyiqnZ/GQNx8ovfR6GYuOuwIIeNjRmeoWbfE2OZZWPOY/x/kEqiOkSjl6siEDeAopDuUwZfPnE6whe7TyM7GAAIhAyYFPgFJaCo8epXCkgPGQ1/TQS68UncOef4Ilx9x33vRQeeUopHOxa2Gbki43ruQnoCAzbdM3+qT2asY4cNfYLPW24dOiDevctM1KXm9P2MaSg1z79Jk2aftoJY9tQ1MY2y7NCiUfqH9fpnvAyo57fjNTRfTIDpDi6Vy5Hnhi9+QrfeR7yvMJVEdIU8dREB2moxogzikRU34cJJaUPc1YP0CLeQ+svN/V9FB1KiMubCqZ9FYwR0VRhv/D0rWphSkp5cYjx2o0i9U3niOf7l9DTN7aAJgMHsF5YKWNhdo4pnVvLXG6ZFpovx3d0RZWD/+nKaLd8IL0dGDX+qNfOTG9pDOmiOTHovNA9aDrtS/p9B1ojQ84tO4Cyl3rdFe+CVR3Seeeew1w2XS2DgNajqwjg0d6sQ5WjkJQDlNEZj+Lh6kPTCiJMmhQQPSUdwjKS++8WJnOlQFkfCAtXzP1gRYlB4ysOzQpIOWr/ELkyn4MFG0hm6wM8eYAcv8a2+lLHcCK3njQiT3o7LejM/r7FIGO4MPaAlz0jJ5wXbC4BPpC1h4EyZv+uz5XeDRAdQkFxDO+xQaBcx3ZgDBgTAEpUwDTPZ3utR1gYtpGIT3BbBLknzAVTAHQFdBuMDZAUxrgVH55CkCPcptOeI/M9IIC+hImawuf6laZbXHtLN6W5xJpBkrgTLZkYDps6qTd6ttBLg6yu2SoPtvq4J5QX+sb7bJnz4ZPOsM5Tmfoi48Zco6Tw64BD/TFHlTk55pc8MltAbA8VE0HX3311ScvvPDCstXBlhn6moU16tuuddg131UDlUGu83SiDiJwwi7eVQgPkU+dAqfb+GkDC4jfgHJQGk8xhy0P40qQe0J0oy2dwnS9jRdFxIdD1bTCoPZUBlicqxS/8uij6dpBeeVXVzF5ryGoj3apo/pyTPs3XwNaPbWjowHl+tLhtjpoh3pqi7a5pud0Hog4BxK1Gx0Pm9vobWtneqJMBz6ARz9L07/S8HLeA9c+sC996UtLXaprct3G69i0qwYqgiQkVkQANQr3WOFconxKqdPb8Gllj8ICEApiVa89WuqYkomVo8zksU1xyptyuebsB1gGt3Kc76w5ANkmQRZZNJ3zv+EDBNC6dABS9MAg85XXt956a7EWTVkM7McUtFXfXkru3jnksuAL/cpXvrJsYKVH56zPVQMV5YPwOs1ANpAMHNOa214GXbvCagdF1I6CjaX5DYCKa5YPUx9wCcoJZKE8WewbTJUoHweuAy0KwqfFh4auoG7unVs596m/9quTpX3/PuNPPpoKsT62BfU/ZbhtoB7KB73byt51b9c2Rbu+dI1utF17GAH/ggep/ifvn//858sD65VXXnmPvpb3lPE+QLW9t09Zmz1pESSh9SQlYAPad59sbHN9jSGFUXcKQVFSII52g/E3v/nNkx//+MfP/BOmbYCEYt3XbvnIjIKyjICaND4H/EwhbFa1B+y1115bfBPf+973lpde1U1esXAIIC4Fz/RDNn2JQhsD/Oob2/tkVL5d4+iNfErblcZmvpHWPvc28952Xf3is+16czrZlNODywPsd7/73eILJHP6tIawOqDKmjLAWAN8EhyMhGsAXlsAEpRGPHZ6ikRJHAafncX21sgLLJjjgY92y5fijXKQ30FmeAB1U7l4KgMYlWeVvvjii8tWCk9PjulPfepTS1l12kZ/5HWJc6tW5EEHtK86qm9ylD5en7Ke0Y0v2vE9JZ+HojXWXZvoGN0RuAWMQWOPW2ItYXVARWAEZ0/Sm2++uUz5vv3tby8+lrUI7aHqQaHGwXEfX8AkjIB4Vxn+MjI27fzyl7/8bPECz3343sXjmHvVgcUJUA0ee46aqmzWc1957Vq3h+Kza31Onc9DLB+lBRmWlEUe43CcIp6a7z70VgFUITyFyJn7k5/8ZLEyvv/97y9PUlOTXQfgPgI4d15tGtuHn+vNtPKNVlBp8jq/K7iffKJdPJYdadodzSn9s5/97Mnbb7+9bJ/AY8x/F8+HugeofKWAhel1IgNI22qverjeTDu2ftuAX9qp+Rxbz2PL1x6vZXGzWC3enB4ey+PY8qsAqnFgmJ7Yec0f9bWvfW1x+AZexzb2UuXH9qmD68200jf9Q7flvast0S7ezFs6BbUaaJuETykDgTU9ENTT4LE3zLT4raerfrYmvPzyy8sDTbuAlXzaAkRYW6cM6KIfn4Dq1HxOWed9aWmTDcq//e1vl/63aEEPxwfBvjRPnX8VQFXnaxzheI3AYTMaRWV+7uJQPrVwHjO9nqKACRBwWAdga2q3vqcfNsv6lMkbb7zx5Ic//OGyB4jvypTQ099UxfYOebXJoY2F2iZ2uOeQfxyQlSkfvfPgxIt/zztz/DjSgZXyQvTjJ45WvDbzxKN8Y9mHPAdKfKRW4TwEWg1ek4FwEFARLMvnVGFUFDTRZ4LaA0RB+1LAZr5T8X8e6TSgAYFtCwa2sDYZN5jFLL9vfetbi0+Nv8rOai9t237Bd2Uqa2vHzc3N0g5fvNAe+jTS0U4g4x45ZMXKt5mX7lnMsZHWFhlgaC+aRQ++HHJDC/2Ay9hAO5nisY2PPMpdOqgDF4C2kYW6Smt19dL1w/8gtNEAnyH55je/eVAbPBHtGbotEJbO9uleK1KepBRohtNJoEHCof7W0ymVrRCCgemJuoYBpD7qMQIIYKUbbVf44he/uOzI71tevlBAb7zk6yG3be9d1hY9c37bQ5eDmbXGZ/PVr351+b4UP5kH6K9//evFsvJlAt81j0aDfJSf+o9ApV2FgLHrS8fJmn6sKfzf04rtjQCeHJ5ktuAfEvgbtilQtCjIj370o0VB8LC3w0GxDqhuZGf8XwkYRGTsYcMqIWOrrd/5zneeLWasSVj6fASArg0m0xNgIrB4vAPYO3OsclM1L/m2cNBUEj3l0UqvnDsCcU57AERe+Dh3zzSQFefDeF6L8g0xYMbHB/A3t9HgFVChBRzjj96lg7qM7Q5kq+O56rfPhs+DgOpcFUeXwIRMcwry+uuvL0+xXv1YMsyfgyVAxqxin6P53Oc+t3z6g1KuydTXOPUcB406unbQjxFgDH4gZOAHBADEaqEXtpXVXl+zYM3zgQZCCTLdQz/e9C/gQtc9fMWu3QdaLDlTaOWAIkvLv8j04bqx7vErRmstIRkUnxNIrxqodFhK0rmnv2NNHboWxTqkHuRrkK5piretHYAgkEgXxPSggW9zorYAD2na5lzZgAiosX74mnzRggXpkziBlmlk9KMb4EUPjfTPOVAvDz4CHfU6lK9ZmCIKvv/UH4z2rSk0A71zAsFSgR1+1MdRGGVe2jniqweqhEJ4lCMhpijdn/HhEhgHNSrJ+nCKpy+pTnf1/XgvPdEuYbwnLWvRdA6IAKx3nn6E0LL8h5++WsQJD1Cy2pUPKJUPlNAOFKXJ55A28uTIx4fvzFYbfPHwYrjpYfVRprrfpt/RxVvYzLd5/91cu/8qXz2iHc1zAulVA1UCG8VcWko43pvnh0uAUo6K2fnhFM9TskGzWb/0Iq5jPueOuwYaXxOfViuHduiztCzg2GTaVJLebfLGU1o66dyBZ/nj7ZUm/jL+LNNEwdcyTA+tZAK5ytYGedBBIzrSRvpdu698150vCQf+VI9T0LqtClcNVGOjCKsOLB7vz/PDJbCpgMn6cIrXW9JUzmqnvWT+P48l5M8XbEPgJOfbGhd/5AcuwghKDW7pm/J0LS8w9GK4lUlAyYIDWgCS43/8fI38ymXBOQdK4jFIkzcLsLqNedZ4/qiAioBThjUK+1rrBKhGsKL84/W1tmvfemu3aVmvjJABIPJKESe8qSEgACQAhYN8XNWTV5kAZJRjeuue4J4jIGHN+RMGfi2Ofz5DPIAjPuVTBh9BmmugJKCNf3VYEq/k56qBSicIBF+QNl6XPuPjJLBN1sdRvN7S48Anl8DFtM1qHjDxzXGWFSDxBwnAC3BUVusDDucBFXrRlLdtD6aWgpVDoIWP7SJeyPdqE58WHt4ciA/AwiMQG8dF/VndF+Ir/rlqoEquCV1HjOfdn/GUwCkkQLdMx1gzAiAJBKJv4AMIXxawQdZh0yfQ4hz3xdE+iZK+ouMcLTyUHy036egCM7E88gMtgMjZbwoKwPjL7CPEC8/qp0zllXUuTKCq5x4wrgMfkOVk9ZxJADgEUEDAuYPuiW2GBQQBgPxe4bHdwaZZVhf/kg2ftiMAk81VvRFEgJYDTfncs7XBeVYW3oDN5lU+LS+Ne+fQHi0bWK1UAte2RlzjONnbotpsJMERomOGKYHHLgHAAySMA8do4Wi7NKABxABD48M9YwRQeReQBYSW/VK2ILR/Sj4h+u9evVtW+UAywOIvCxTL697456L8ZKaEeDjGPVrjuMWzazSiK13oXnweMt4bqDYrNzZo8968nhK4hATWMLDGdhsjQgO/ezZ7mhrao8Xq+uAHP7hYWSwt54K2KA8kogMAARZLCyA6Ahn5AjPl5WFh+YMQG1ltYPU+rO/J49PXOpWPRnyUD5jV/Tagqpz85wpHA9W5KjbpTgnsI4HbBksDcB9ap84beKBrwDvG+lotBCSsLMAFtDjImx6a4gVWaAQYAGk8B1hoSxfitVw8/fGZGxtK8RGbQnL0f/KTn1xWDuVTL3QAlBjfLMPuxbP8xfidK0ygOpdkJ90HlYBBJIyDqAp0r+uHjtVJHRzjYA5oSnOfs972g/7b0bXPxACtce+Uspv0tAsvB4BxvyAtPu6ha2OpDawsO9NZjn5fdzA1HC2tgA9woTMGPOIT/fH+qc4nUJ1KkpPORSXQYBkHUoOoe5eqoAE+BvUBFgXnBrl8Y11ZNbY62KdlFZFlZTXPplIHQAmUitFEq7Z37r60wHF0rJsO2gnP2c+as5HUtJDvjGU3bixFY1PGtWNML+1U8QSqU0ly0rmoBDYHUBaFwXPOJ/25Gg1QHK3ssbJsc7CqxyEvmLbZ9Gl1j0VUIAsh4HA9pnUuj3Oyqjzapob42A3PWW/XPT58W2QZsCpfQCd+pZ0ynkB1SmlOWquSgAFlBc5XE845iHZpdJZNIJH15Hoc5J2LAZVYXkCCBkuIr8neKf9uzREvzYbPz3zmM8vrPNrKiR6ooOG8EE35yMhRHsCYrLxr6FUh00O+M1NQ/4xsBVFQprzRPlc8gepckp10H1QCBo2BXfj73//+5G9/+9syZeKPeagBFf9TxNokqLvDNVABTA5TQ/ulbEVwfXNzs8SbU00gNdJAJ+ByPvKp3tL4qeRjzdmj5R1HVhxQzG8mH7kD0nPKeB+gOuhTxDV8xlMC55QAy8lgFf/qV79aBpZvSH39619f/vjjnLx3oW1AjwN5GzjcRWfM79wBRByAwhFAbfLpWpnxHL+u412e4jEPHkCfo9+f/bLsXnrppWfguUkrmg8dr+4Lnw8tgMlvvRIwsFgbf/7znxcfy6uvvrp8K729Ruut+X41004BKGjvaBltAsWYdz8u/wMwPOInBlYeCP/5z3+e/PKXv1yc7i+88MKz9CXzGX72saj+N8k9Q0UmySmBYyTQ097qlWV2K2KmKlkZx9BeW1mA1BEYnbqO6Drig75r8mRV+Reaj3/848urQfaBbYLkqeuzD7059dtHWjPvg0rAU94yu69leunXoOI3AWBrGkTHCoUFpT0sHW3sWprrzSBtW/pmvs3rZCYez20S5XAHWOTsGlABrrWECVRr6YlZj60S8M8yBpCBBaCyppoebS10pYljm5qejWnAKZAJaA5p6gh06HggiPGymmqPFbBaU5hTvzX1xqzLeyRgQPmAnH9Btmzfcn6Wh8xZFmJA5t54vzylNUjHuHtjXrTGPJ3Ly0fWfWUE94vLu2u8FPwvjcqUNtJ0HlCVb594pNm58sA/QLRlwT+U+6cebVxLmEC1lp6Y9dgqAU97e4l8VO4Pf/jDMniyABTIshA34Aw61wDFcr/z0pxvHt1r0LvOituWF//u4+GQr/pslrnvein437aUVx0cmzS35a3MffFtZaWzpH7/+98v2yLImyzWFOaq35p6Y9blPRIwWDjP7f3x5Uv/0Wcq6JrvioXFtwIo2gDKCrDz2j0g5RAaxO9hMFwox1pC2ydU+GjQ9E1z1/HIAqlooOa6OgQw5Vl7rL7aRW7+2MJH+jjXk++56r/Pqt/0UZ2rFybdoyVg4AMOAOKVD8ef/vSn5Vvmf/zjH5etCgaVd9gMMqBkwIkBiwHI+lH+LqByH+CJlQOCDn/A4LPA+MYHcNnXBUDxEpRzjgee4msKrEPyY0mpOxkA5zW1Y1pU16RRz1ldDRiWDrARAFcv09pVDUi8DuLJ72+nbp7u4gZahw6wAMfAFVgV6PsDBp9sAVJ8N96P8930a7Oclkbd8QOAAW7tItdzhn0sqglU5+yJSfsoCRg0Vp8ACLACWiyfYsRZPP0pAjAxuPwhAgsIqCh3H3ABROAUUJU/60i6Lx14sdf7eEASaPkSgddOgGRljmrwhQprnyAmh6awrKpzhglU55TupP1gEugVmqZVrpuiSRuf+O75nIkvXvqbK6tXrC+ABUysHI75x0YYoA1SgNN1loW0gAgf78n5VIvjnacvEPtGum8+GXhWzLLIRh5rPidL4C8ep8rSbpPZKdozgeoUUpw0VieBAOuuisnj8DkTf77gRWYv+fpDUYDF2vI9JoAnAKXbAnAaeQZm8geiQAsfu+d9TsVXCAxAfHx6uGmrsmgFYkAgIOw8fugHjMXSHluYQPXYenS2Z2cJNI0DCgGBKeE///nPxQIyVbT72h8i8Gd94AMfeLaqBxRGsMB0BCrnhaaKTQ85373Q68uafFp209sDZnro6wSAcgRHwIUXOpz/0anOm8AW38cUT6B6TL0527KXBFg6pitABWgJAQRA4Bzn0+JvsgXBVA2YeMcNaAUgyo/AJJ3lw0ICJqMVhA/QaZqEj6kncMRLnQAVPqaIeApZZZu03IuP88caJlA91p6d7bpXAsAlqwi4CF07z3LhMPbnnv4QgRXE6mJpWaJnbfnPvIBKmSwctLp2LgRq0p3L25QPGOLDd4aPqSLQevHFF5dtDyyq6oTWWOfoS3+MYQLVY+zV2aadJACAWDaBCeAABqyWQCbLCEGriqZpgu+L21SqjO+Xs34+/PSPPllAgUZAhCZLynWg5Jw1lWXlWj6h1UvTQx//84VNdbRHi+/MvyEDMAGN6MrzWMMEqsfas7Nd90qAReIIlBQw6B3SgABgcS5fQPCHPDkAAAbrSURBVCK9FUVTNiuHVvTkuXm6P4uVZepmha8Q3UBRLE1AD218pMWnsu7b6gAcTUdtBQCO/Ga+l95+sfI/xngC1WPs1dmmnSQw+nsCjcCi64DFdRaLPJvByqEpG+AyRQRw9mZxkvtjBHup0MhCiz7fE3osK/eEgCp/VlaYe6wsPq3+mw9g4mPlkMXVfiZlx3KuA0OAKtQedak+pS0ZVvQzgWpFnTGr8jgkYIsDsLINAXgBCJaPP/oEKoApsAMgm+DQPTEAEQMxMVqdx8c/xrC0ABMry38A2guWFShW1jGGgDBgDLDk26zTWO4S5xOoLiH1yfPRSQAYBCqBgjSv1nhJGmhxkLOsfIGUr8nKoffmBMBQedfKAiRprK1ARrwJPKwyjnjgyKcltkcLH1bW+973vsXSQk9ePNFxje/IB7+1gRR5TKAihRmmBI6UAOvEIBeAwDjNku7ay8msn7/+9a/LFM7KoX1THQBJXj4p4AFQArDACX15OiojfzxzwgNHwBQfzn5T0aaHaArxcB54rQ2sJlDpnRmmBI6UAHABUOMAD0wAAl9SYCL2F1f2TflTUe8DWi3kIPdPyKaJhQAKrQI+wpgGkEz93Kse+NhKwaJ756mz3wZWfACWf+jBbwzRw7Pp4Hj/kucTqC4p/cn70UggQAEODoCVhdN0q/QAzH1pgIpz3NTQv7uYHn7sYx9bpm0f+tCHlqkeIAR2QEiZ+BEggIrmKNDyum/Lg9d2rB4CLny8HvTRj3504cPqyipkpa0tTKBaW4/M+hwkAQPVwBTG84OIHVBoBI6xuLoUqh/QAB6OMQAKAGJ6aO+UPVt8TZzjVvVsLM2npRzao/WjvIAuMHOdfyve7gNO4OiTzUDLxlJTQh/CEwPKsW6jPLedj2nonyNMoDqHVCfNB5dAUx+WDOtDaPoyTscevGIHMgRApof+7JOlpQ1ABGBZObTpswCUCgApUAIg97VdHnzefvvtBbQAIT6mh6ag/X07+vIGjHiSMxlLA4j38aqOh8QTqA6R2iyzOgkYRAJrpc2YrgMr59cUtIdFVP1NDTnHgYo2+t9Cn6UxdWMBCckAcARWTTu3tT3gyXoCPvaBAUY+LdeAygplrwqhY1GAjJWXB7gBrXNOGSdQbevBmXZ1EjBovBLTtKcpj+0B4w7xa2rYOJWr3qZppof/+te/FuAyPWT5GMisLVaNcuLOA6Jo7BJbOcTHd7RMDwHTJz7xiQW0ABOAEvKbkX/guAv9ffNMoNpXYjP/KiXAijBYsiA84TmOOZD//e9/n3Vaci6BaI+jKZU22loAJJpy2VBq75T45ubmyRe+8IXFSU4OAOs+8JCHrIAZAMILff4w6dJ8luYf//jHMj38yEc+8uS73/3uE3Fgpf0B47lkMYHqXJKddB9UAiwng8qAM2j9oQOLgDVlcBvw1xSAkkMANmP9XQOqAMw9eUs3NQzM3LttSpbl1b4qFimAiycelY1eO+1feuml5UVsMg8Mq89C4MQ/+wDVe5coTlyRSW5K4BgJ9I+99iYBKd8m/8Y3vrGA1zF0n4eywCyw2aW9poJvvvnmUubTn/70YnmdE6R2qdOYZwLVKI15vioJsA5YVa+99tqTl19++ckrr7yyDKDREllVhe+pDOCo7oGI6xFUtqVvS7uLlfxjGXlHHpWVJ/7eJxTeeOONxdnOR7YmoHq8H7upN2Z8tRIwTfFirgFjs6Sp0CFO5LUIACgUAgjXgYrzbenb0uS9LZRfXBh5lDbel3bz1B9mWvjOfz9vs3m/cpeIp0V1CalPnvdKwCAxuHxM7v3vf/+z/MCqe88S58lREugBQN7+8JUVC7BGx/pRDG4pvI/FNoHqFiHO5MtKIAvAYLEHyBI+C4tzOEfxZWv4eLgHSADLd7G8hrNLsN3h9ddf3yXr1jxZy1tvbiROoNoQyLxclwTahPiXv/xlmZrYrGhA7fM0XleL1lcbDwArg3bM27LgG1uCTaBtPN1Wa1aX3e6Hhp/+9Kc7T+XnPyUfKuVZ7kEk4Kn7i1/8YlnxM+XzV+q+xzTDaSTAcvXdK6/biG3/AFSf/exnn22HOA2n46hMoDpOfrP0GSWQM9dgcm6K8oMf/GA5by/QGdk/F6TJ1TYQD4DPf/7zy1dEpTX1XosQJlCtpSdmPbZKYBw0pny2LORT2VpgJu4lAfI1vV77auoEqr26dWa+lAQCrOmfOn0PAH4W1Jr9ftOZfvp+nxRPJIHACblxKiLdMcNpJLAJUqPcT8PheCoTqI6X4aRwJgkEToFS19iN52di/9yQvQZZTqB6btTx+hs6Lanz9eEIVuP5+TjuR3n6qPaT18w9JTAlcAEJzHf9LiD0yXJKYEpgPwn8P8VdaF6PjhlsAAAAAElFTkSuQmCC)
0,0147 mm/mm
0,0526 mm/mm
0,0345 mm/mm
0,7923 mm/mm
0,8524 mm/mm
O cabo AB da grua abaixo sustenta uma carga de 750 kN. Determine o diâmetro do cabo AB se a tensão última de sustentação for 2 GPa. Dado: coeficiente de segura 5.
![](data:image/png;base64,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)
145,37 mm
200,04 mm
48,86 mm
180,54 mm
17,65 mm
Determine o diâmetro de sustentação da haste da figura abaixo que suporta uma carga de 200 kN. O material da haste tem uma tensão última de 8 GPa e o fator de segurança dela vale 1,65.
![](data:image/png;base64,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)
34,15 mm
24,56 cm
10,14 mm
45,21 mm
7,24 mm
Um corpo é sustentado pelo suporte da figura abaixo, se o diâmetro do pino for D = 12 mm qual é a tensão de cisalhamanto do pino.
![](data:image/png;base64,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)
22,10 MPa
9,588 MPa
2,559 MPa
0,128 MPa
53,45 MPa
Duas partes de um metal foi soldado com uma angulação de 55º, determine a tensão normal suportada no plano da solda.
![](data:image/png;base64,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)
- 0,5324 mm
- 0,0029 mm
- 0,0005 mm
- 0,0788 mm
- 0,0564 mm
Uma material fibroelástico submetido a tração tem o comportamento demonstrado no diagrama tensão-deformação da figura abaixo. Esse material compõe a pele e os músculos dos seres humanos, determine o módulo de elasticidade das fibras e estime os seus módulos de tenacidade e resiliência.
![](data:image/png;base64,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)
E = 55 kPa; ur = 17 kPa; ut = 45,54 kPa
E = 88 kPa; ur = 22 kPa; ut = 77,22 kPa
E = 22 kPa; ur = 34 kPa; ut = 88,89 kPa
E = 34 kPa; ur = 88 kPa; ut = 22,17 kPa
E = 44 kPa; ur = 88 kPa; ut = 151,5 kPa
Um lustre de 80 kg está sendo sustentado pelos cabos AB e BC e os diâmetros dos cabos AB e BC são, respectivamente, 10 e 8 mm. Qual é a tensão normal média nos cabos AB e BC? Dado: g = 9,81 m/s².
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWYAAAEwCAYAAACE8dv8AAAgAElEQVR4Aey9WXQex5XnGVi5giu4bwCxcCdFkRIlUrK1WLIlL7V02dNnTnXXnO4qubq6q6w5fXrmYfxQD/VWD2M/WjMv3TNTPe3TM0ftPmOVu6rssnZR4iLuBEiAJLjvO4l9/r8beT8kQYAEIIL8QEYA+WVmZGRkxD8z/nHjRsSNkl65kFxCICGQEEgIFA0CpUWTkpSQhEBCICGQEDAEEjGnDyEhkBBICBQZAomYi+yFpOQkBBICCYFEzOkbSAgkBBICRYZAIuYieyEpOQmBhEBCIBFz+gYSAgmBhECRIZCIucheSEpOQiAhkBBIxJy+gYRAQiAhUGQIJGIusheSkpMQSAgkBBIxp28gIZAQSAgMAQEmST+sidKJmIfwQlKQhEBCICHwMBFIxPww0U7PSggkBMYkAnlJOX88WplJxDxayKZ4EwIJgccCgYdBxP2BKu/vMVbP3UReyVjNQEp3QiAh8MgRGIiE8fOtpLQklJaU3qVrLil5sMzz2BBz/o06uA8arPwz0nFCICHweCHg5Gt7Za23tyf02L43OO2W9paG7p5uLoqgRdKlfUqHB8k3jw0xO3CP16eScpMQSAh8VQRcUPN4SkSzvRlhOG94mJ6entDd3W3X3c9a4yJiI95c0zySdk8okV9ZWZlH/0D2jw0xD4aGg/sga7PBnpX8EwIJgbGHABzBViDlAPuKsvHviUzckxGzQhlBQ8R2n8I6ueP3oHimRJF7HTD2EFWKB0o+fgBZlmtmeOb6A+f39/f38GmfEEgIPB4IeFkv5AZGFfuJfkN3V7dJykbG8u6xC+KRbh0VSBkCDwUVRon4Bd5ApaEDk5rhnAfBJY+FxByJuEdEXGa1HjWfNVWocjIgCcOWb3LkAeQaLu9nHuknIZAQeDwRUJHvRo8MN/CnvZV/Sck9UmcYjyjn8C5EgvBsPKHOP10MaJchZ5iDIKZ71kGZrnxVHhmTxNyfRAGhpxtou03fA9igRbhe1Xg4V9IDotdwfWp7C2I/hZfT55WOEgIJgccAgTxZOhE7R9hefIF+uUf8gd4YskVy7hEji2qNbFFtWKegOId7cBavzuOf+KVczOIkbyGG/1P0xHxH5pU/P2fvQAOkAU2VljmaIBAwtZ47wgNql65xDFmXqfZz0vZwaZ8QSAg85giIKpCUTSrOBDnnE7jFdcqIyV1dXQZGRXmF7buRlsUdGjlnfGScBJ8gQ8uTOAdSow4H0aInZs+MEzLnHOc3mh1RSS8QdUxNR+3VDQFnQFETosYQFWc1XzYURlVjhUD1l+LPS/uEQELg8UTAuMMkYXGASNS4w8i4T2Dr7OyU3tmFOgS6EG7fbpcgJ64ogy/godgBCEqRc0T2cJH+8PgqKo2iJ2YnTCdmP6epAQkbENR4QsJAFhlbjVZGjVZqNR/Acb81U7LajkYK5F2iZkeXxiVSwxHenT+Pc3+mX0v7hEBCYOwgkC/LnmrUE+ZvQp7IGWKGpBUAboFP7Lo4AYmZjfPx4ypDeQlD46BisYjugR8srM5Nks6EwVLtR8odRU/MlvvcjwPQJTJG2W4qDMAVQO6QkgWzwEJqjpKy1WICPIItWEXEgBpopQAgO5H5SIH0Z6d9QiAhUNwIwAGm/kT1yT8krSSzdXV2iRdi+o1wxRN2TfeU21hlcQsCn3gFbqmsiOoN4ozxSsWqYxP6EKtH6MYcMZNPCBlgcQae9gaKEHX9D80QydAWxsNR65UCrsKhf+Yv1nhxiiVxODH7vhBBOkgIJATGJgJR71BIe0G3LMq1URkwsTg0kivBNLuvuyt0SJ3R09sR1ReKw+4TS3eKvI3GxUEd4gwbv2zSMYKdrojoe0rEUTrJjwIrJGAIB2OGmI0oBQrgQb7uTFLWqbytBqP/tDtrpgBkZUVl6OxqN78KSFl+3F4uPZFL0fS4UivykkqyKUGJmB3htE8IPAYIiCSRXynzfUNpkWyjs6viDUg3DgZQOAmA3XT8iTcQ4PCHF+xYN9IyR9+sfyI2brL44BjbdI+mcI+ES8YEMUPG7gxYnVvzQ2Bx3t3bLX0z0nNUxkO0XRo+F/VInXYr4PRKeQSYkDPKfao3dMtRDaLmif46da2ibEzA4pCkfUIgIXAPBIwsdR0eMcaAP7RBpmaQqDQKe51STeBQUcAXHR0d6vC7HcaPHx8qKyvtnhs3bth+8uRJ1uoWAyt8Rtrao+YgYuNqHfcqbtxwyXnMMBBAkrmCtJyBCygMf+sSSZeLULnutRXhUV/QnKgoV60HgXMOeELOwCMe3RP1zPEVAmU8MkzTT0IgITCGEYjUSHd/HLUVBbGMnOXXK16AjHVgUjGEjFQMISMle8dfhfTJ8BAbXANJwDVG8OCjwyhNR/bgmHvLy8sfT2L22gYQrMNPRAyQgkjAafwgvCpcegRClyTh9o52gVYaxquW414U9Z0Ki14aCVmvQWBFkAHXiBj1BxI14RWu1Hpex/DXmJKeEEgI9CEg7mC0BZQJj0Q+RbLVn2YMRxZAJxpHWUCqRta6gmAHwdoQOnHJuHHj7Jj+KoibOROmTxZXQ9o9egh8xLOcyHU4LFf0EjMZcwcRC1XLLLkWhiJS9aRKF9Qp4NAPE56p2QBGzYejGYLuyKRl+RugZepNFXqlFgkwKmoBjANQBeI3uYRAQmCMI0B5pmTTh+R84qwC+bpky4gMeAQHGXMN1YXrlo1b5I8zvtF1BDwkYtSmptLQyC7NlIjPgbsgKDl7bjzU1ezArgz8Exlp4GtF6YviHtAsc8o4ZEtNWC7CraiMTQYImQ0w2Nrb2wtNigqRNM6aK1263kMPLDrqvpEevDQD0kKmn4RAQmCsIwAVslm5FidAfDZvQZ4QqryMA7jOiK2o7ghh4sSJARUGLWkIGmf9U9ojOdNl1UMnIRwiKZs+rAKRKwzxFUZ+cK5tKK7oidnVGF6zmdAsAMgwOiMcYTjCXoYDCGFTE7p+B3+vBfHn3OIkHp3zZiB44rW4s2fYA9JPQiAhMGYRoDzjIGIEusLAAcq9nHGGhL0KTR6BiGlhM88BB0fAIZMmTTKCdu5gb6qNLA4j4yy8P4/7xSbGLdGPp1M93N8VPTGTIf4gYQwSkS1TuGc1GBJ0twiZMTC3JRkDGDUc4MYmRo81R0yNgaSd3Uc4NmpG/Mxf+4hj1GXzUpJLCCQExj4CTpbwB2UdqraBAqhGdQwP0Bd14+ZNU1PkO/pcyIN8XdDz+PCDJ7jf5kYoMleJghp1AvEbx7DHcwiu6ImZPJhyXTk0QtZ5IXOmb45NCzKPROxA3RLAAM1wF0AG3Fu3bhmIHOMA12YAsTeSBkViio64kksIJATGPgJGxirblHmOcSbsiTbtj2vwiXgAokX9iURM+JviEnTNcISP1EDwg1c6uzoVTqM4FA59cxmDChR35BY7smfpoXE/xN+i7/wjH1bbZDUb4OAgXVNlSFKmMw8wARLAIGiAovZz6dlu0g9xUesRnr2CmeMewOMlmadIObvkt6Z9QiAhMAYRgCRNqtWeY99iUdc1CWoMDoAbysQJHSJlHIIZfDNhwgS7B37hHN0yYe24Mh5zjsDHYC6/xv2uEvFncm0obkyIhEbAZCjLk2VSuROM5gXBGrHKj5oNKRmCBlBAxAEaQLHnfpeuIW4cLw5X0ENlL9A8009CICEwZhGADCnveVKEA0QE6gSUYCfdczRiJnJluK0kYPiA8FF4iyIa5/jT8oZjnEuIy1rX4ic3joRgSHj+jK943jDcmCDmQn4kNePIKHIzwDCagj2AQbIAxEZt5rUbLwUg2ZyQucY9XWqKuOOcjRdmYx6HVrn57WmfEEgIFCECTsiwB8fsnSeMQxDW5McQOPhhnMw44Hx0F0SMagMHUXOvka7igkfcwUtlWLXUdeMoXTNSttZ+nyrWw99rX9TEbJnKUm/HyjjECRiMJizVbD6A4pyNY647MNyDfohr9LbiD/AA7uHwy4enhiM8L4p93nka+vwIxTY85/H03w8vlhQ6IfBkINC/nOTPB0LAr/s1P0dNaccq10i0/OFs0podxmnYzg9wBa1uBD78rl27ViBorsEPcAd756UCdyhu+q/wd2eVgp47FFf0OmbTJTMJRM5qKYhTUygx6dnJWOXMH4CuX79uIAI+zl8INR6k7STONSfjjg4p+GWTGaDxU/T6z3TNaujw8rw5wn3m7KEDnrjnkPakjzwllxBICNyNgJdjrriQ5LRmIyAGKDt+nXv8fvZmykGSK6XNyj4CnvwRwUwPTF+Vyj/lESkaE8BuwgE/77uCQzhH4IMziJBWe3lpucIwm1gtdz0DXTXh2Nwx3tlUpZmfpy8fxsMWJTF7gj2RECOOGX6q6/RHhgEu6naMULkuQOk1Ra9MHLxM/KjppkyZYkByjgNg7ywEGF4EA8GZio2+yRhf4dAZMYjcnaclnnMhXsyn2YEu+PnLUZrc5TsS8PN7/HraJwSeZAQKZUcgIK3evHEzCkkqS1xDiqWsU45xd5SfAcqbbrIBA9xLMURK7pRQZpKuGTyLx8QFCeMYDSZlaSRgnbtUbBf1A+8wy5glp0q1R42hKsAqgXKlId/xh4DJbOKSzKiRxzHYviiJOZ9YMo8NDIjSZuSICKPREakzVGMBNC8FwgVQNo4hZfRCvEBImSYJOmbOuQYxEretMmCAxhrWmh56FuQMmAyf0YP0DD4Q6bL1Qidg3EQVw0gdEvzu3bvt+Rs3bizkYaTxpfsSAmMZASdhJ1c/p4xevnw5tLa0hKNHj5oUSrm8cvlKmD5jenh6w4awYMGCfuUnE358Z0QMGctDhZg9UjJ7nmfkanY7I9GCI+UTbslvLkhFzogtbPiFSmPy5MmagAKZIyhGToJHLH6b1IKkLq7JnufvyvPr5/l9URKzJ9hfkIEpgoQc835kHhJmD3CQLqACnhM016hVIWUce/yobQnDs/iDrBnHaHybvUx/CYjMN1RjHzx4SM/pCKtXrwyTNROIez09eVA5zvsjU/t5t+yTthw+HH76v/4kPPvcpgAxJ5cQSAhEBFAd4ijPzc3N4W//9m/DbZXpV155NSxestjK+6cffxL27t0bVq1eHW+665c4Ypl2o/a0sHGFsqggJtjpeUxMY4IaLW14gHLP8+EWZvzh4Bb4gnKMP2Gqqqpszz12n/igqxOBUZKzuKQHW8SSkEtE8lyHL7jP+c0iHuSnKImZtDqRebrJjPg0y5yuq5br7IwvkcyScYbKIRlTk3E/fpCy7wlHDQcpQ86QNGCXSj+EJJx9E/ZIAw+VM88VwMePnwg7dnwZ6uuXhpMnT4clixcWhuJxw73A9rzwzAsXLoQPP/jQJIAVK1ZY2kgXYe4Vh+OQ9gmBxw0B/+6dlNEHHzp0KPyHf//vw62bt8Kf/8Wfh/qGhkK2Idea2towf/58KzN+vwUwSogS8dVr18OxtuPW+l0iUsf0rwq7uFLXJWxZUDWIKyrifAZIvP12NPkJEeMos5RNeAMHn7j6BF7xDSJn6anISApIIjNH+nzDayhlvWiJ2TNAJsg8zkGy3s4uah867GLNyKgLwAMAajRvhkC8gGa1o+JiD+hOhuxB0YDTcTS2L+mZl0evqq7ystqOHVftOTEsFiFfuXpZlcD1O4i5P9jEh4vxxA/lhjonv9y50yqGp59+WgR/0tLmOnG/x25MPwmBJw0BsRrEdvnSpfDeL38ZDuw/EH709tuhrr7eOMDLx5y5c8PM6morR4NBBBdcUjwIVO23b4VJkyeG+XPniEPEJRClVAvwieRmI2zUowyaq1AHXk/vuAJf0MkHn8BBCHS0yCnTqC/gEvqvnGtIH3yDxEwlgLqTsAWXI+uC3yAHI1eUDhLhg/QGDEDBOfHFjEKkdMz1GSoiDEB7eKRhl5bx5xwShqTRW3HuTZf2dtQc6IcY8RErAfRQ2ODgXtb/unLliknjU6ZOCeM02+fmzdsWVx74/DHpyTue2ywpAF3ZSy+9FGbPnh0unj9fqInvdW8+nnScEHgcEeD7h8LYo8L47LOtYdny5WHDxg2WXUiP8ssG+SGImbOb4n1ehhix1d6uEVvij9mzqtXnVh6uXLoivogCEmU8mgruUBluD7du3wzXJDR1diHYRV2z8wjln3inTZuWta4jZVKeSRPqDHiEdDEYoVNcETkjCnfOxZGe45lXMDEDA/8WBTHbS1Gm3PUBHIF0f/Zkqixb+gkAAITw/uKckCFlrlNzOkE7GXMPjr2DBNC2xpeAtfiUHJtkopdMLXtZxHxeaoiLFy6FKVVTw5mz59TcaglXVWO6RE+cA6Wd6ydPnAi/+c1vQmNjoz5ApVdhz5w9azUw95EO7vX78UsuIfC4I5D/5ikTdPSfPHFS5exCWLRokREfGAxUPpB7+ztIl3J+8ZJatZJ2KcTXrl9VK/eKgmb0qLJmHXEagWULbUggKy9T553xCAJfFAjzKlGej2QMZzifQN6c48/12PEXU0TKzPaG01qWVFvarn+iBzgvOlWGE5PvMywLLwbgS7TAIc71QLwIwAQwHMczZswwnTPgAhph2VPbAijxe63HM0pLdK9IWEHY2SKLqp8j6HpxNE/OX7wsibct1NfVmf8hdeJdl14b9cYU1Zw0dXiGp50928ULF8NH73+gWvtyOC8pGRUGzawbt26GqyJ8pOfkEgJPOgKUFeYVXLt21QivakqVSaFwGuUq7+w8R3pIw9i4oDxeUjm7fPmqinWPWrqXpae+UWjd8gxImRVHdCiuMD62cn/rVjRcRNxsEC6cgvoClQWOPiwcvMIG13jLu1cDA0xNKhUG0jOVAqNIeCZCHgKZecMxHMj1z5d56qcoiLl/4ki0AahMdWsZcGoenIGFn8iZmgpQ2PAHQEABLIiXySYQNhIz/nQMTp8+vRAP4fDnOezL6RiQY2A4YKKDwhHXeDVVampqwonjH4eLFy+G4yLg6dOnhDoR9C09Y//+JhF+WVi1alWYqqF57oibNGzfti2cPnc2/PGf/InUIKoYJJWT5s+2bg0nRNL5jg2/N+0TAk8CAl72KSu4cePHhVmzZln5PqdWKUNWvawTlvJoZTITgriH8cZIyCdPnsp0wHBFqbjgdjh39oIJXZR9JFruZdAAy0lR5jtvR74Qpdg1eIS0QMbOL5Cxp4HyzHXO0TMTHy1zHP4IfkjFNm5ZfuiZe8TKGFrjOpNM4lJWdsugP0VBzPnU+YtiT0b83I+7utQh14veGeAjqIAEIABELcee8IxfBlx0yt7BhjI/EnE0fMS9VqsJvG7dU2qjMwQgYCsNHndN7eKwY/s2xXVRnYBYm+oMkyZOCpOrptjQueamprBv3wEN4VkRpkyusuffUqcDHRgfffxR+IPvfz8sqVliWaWyYPwlH8GJtuOFD8LzmscjHScEngQE/NunvNXV1YfGZY1h/759Yd/efaF2aa2VQ1q4Z6X+o9w3aJQGLVTK90W1ZA8cbJL/rbBg4UIRb3e4dvWqhLGb6vhrD9OlH16yeLHFoUJtM/VEEoKVcg55ShVRHlvTPB/+gE9MvSlOgKTxcw5xbuI64eGavCRdJmJGANOqz2p9o7aEyxAieXoka8+v81r/d1z2l3L9PR/2OYnDeWI5BnD82TsQ+OOikl61n5o9SLi8IEACQMI6MXMMYJx7TchLxd+J3IBVnOVaAxB/XpaeLsCRwuPoDcgeSXjp0qXh1OmzoU1kGkdvRMme2nimVCdtx9vsw5k7Z47S3Rt2fbkz/J//x/9lxPvd733XXixpoSPxs88+Czt37FBv8eSwZu0aGy8Zn6/HJ5cQeEIQ6F/2KQNTp061zrb9+/eHPXv2qGx3hdOnT4eWlhZrCS8WyaKqxF29es061CvV6l1cs9haxufPX1Cf0GVTHdJpt2btKk1ImWZFGz4xbtG9xhMqp3F0V5+uGCmYdMERcADnHOOHChKpGU6IWxTwSLeXXyR4eAkW9kklXEMdas/KhSUPfh/H7oqCmD0xJNBfFPv8MaMkyDBhurqxi8o5TZK+weB2TSACGMcn1OGGSoMeXM55IUirbtDISZprjGVkiAtqE2o8mkJxk9QsQJl6OXnypFBdPcOGvF27fkPJhsgh//FWOSB5nzt3wV7KDH0IPGv+gvlh4zMbw4yZM8LECXFSCuko14e06bnnwspVK63pVuhldjDSPiHwBCFAGfQNYYmOP2b2odqg4w7BCr+1a9danwxhmRhypPWIOveuaX5Bnd3fduyEOunPm8pxsobIPaOyt3DhAuMLEUpEVFIscmyX+ITyzvNw8A0kzOZccUv9QDyLa+wR/nCUV2KJnYex9Y4/QmIk4Mgb8BPk7HmzNQGNW/r8uK+/K9EDs9T2v/Rozj057Jn0wWBzDFlHIkY/I4lYYFJrsSo2pvogQMBFjwwpQ7gAi8L+qpo0czXuEfUFjuaIS9RI2cQDKVPjAt4cdcRNmzY10wPHWpS4nexR6l+6eCn8Vp15e/bsMyl6yZJFVsPz8bS1nTDp/Wtf2xyqJA0DLvQdnV6GDnih/R3PTi4h8KQh4OU9//2732BY2HWVl2PHjoVdu3epfM8LCxcsklB0TrNzm8OZM2ck7MwML7zwfJg7Z66IlpVI1A6WOsFWKDEBLfOTeuGmOgfNmJkCMbP3ttQfSLYdHe0WF2mbOHFCmDlzZkbcUdUxXpUGxbZSw2dJE2QNB0DMZVJjcIxwl5eaS3StQv55Y0YD5bModMz5FwEIEXgll1yz05/paJR5pjlq+LKpHlzHA2m6GoMmB6QMIUPCkDZEzHhDwkPQhIXE0Tf7AHL2uFWrVmtRRhlHqRCAqkhJC6M06HAsZ3iN0jRT0u9zm54NW9V513b8uL0wnoVKY/yEcaHt5AlNSDkRVqxoNF21vRy9kCw71qQiXtJJfr3GtgSkn4TAE46Ac4DzAuc4Ly+cU6Yp25Di+HETrLzTMY8whqC1cuWKME+E3a3WNY57EORU4qyVXabW8U3NKjx29Hg4cqRV4WJZJN5xWpSVsgzR8swpU6Zqq7Lz4yrv9HNVVU228jxxkvbin/GZYBfTSuefeEPTscXv9mzS4EKa7bM84T+QKwpi7p8wy1w/oRJC7JG03Kse1c4OGRKaNN5eDMBBxiZBKwwECVGjwqBJAulByHQA8qKRprmOjmrevHn2aEicAelI5UePHjM9MRKvNVUUJ7Wbkadq12ywRpioWYDLli0LzYdbYG+LB1UGHwlz+3nZq1Yts5q3cFOWUftIiFfhk0sIJATuRsDLSP4K5dbJul3SLJNCUG8iBVPmrouUr1+7EuZohl+9zRZUCRYZI8FCvNyL6oJW75Wr10PTgYMmmNGixlEeGWnBs22AgAi+vIKZgZXikxsSurTOn2YGdndr8origF86mJwmoY2SDBehooTYUXGoqY9UGSsFK++xgrGH3eenKIjZiFgJNeCU4fy5qR2UYfxc/Md0HgQLkGxcc0kZSZhakz3gUvNRw926dUM1XlxmCol5clWcOQS4PHeBdMGQM72+585o4odm9lVNmWzNH+lOjKSlmgolerF0/E1Sbbp27TpN+TxpzyEdSNYlJbLZoeefPXs6g37oL+M+7ypdTgg8dgh4WR9OxiivlH9UiszA5RzpuV3bVembJ9+UClFkyYxdOIAhavAIxIk/ousF9QWhdly2rDEsX77MBDkkbsgfQQ7+YCjsyVOnwlUJdddlgmE1RpNUyLvUaq8cVyF+mGQVA89VwTcyVk+VmROtlIAoL3se6TMHf0DYQ3BFQcz90+kZcdL1xVbNBKdyC3jonrkewY5qAeLhBVlNpj3SMyB3dfVq+IpMdSo8eh8L194Vbly/ZC8VhT0vGsLG2HWJ9EM3b15X77CG2+lFAjDGVK5o0DrPnSLCZqgcb5ihc1Ntuma54tASNB2sBcZHYI+xMHodfpL2CYGEwINAQCSH9Av5dkpdQbmE5Ms1K/j8uYth27YdNpJq/vy51mdkgpMIMl8RmJ/K8IWL561sM/kL4cyFPpJ59cpV0zPfQu2JTWgRM2Tf0a7VsdVyR21ifKW4GdmlE0nVGsuc5dGf55zm/veDoKiIOZ8JI9yMfLs1XIaMWY+mssysHUCFhPEnLFskYZ/Vx77ExjiOU+0GgLdvM745KuohYQgc8kYNgpRNXBA3EvZZDUxfsGChScGAyOD1X//617oundb4yvDtN9+w5g3qj6lTqywtN67TnIpLWRGPopOTTmuob4PgySUEEgL3RQBytLKr2Xo3b9wysqTM0Vd0SlLuLNnImDp1mkj1dPj6179mErNHGjsDMf2rIXDiDcwsnNVkljNqKTP87rqkbmk/jNBN95zdiKpkvEZWwTV0DE6ciKH+Kns2Ntonqx8LDqEjsUyrIsXZf7FF7882SqBSUTjnO7+W3xcVMecTZsSsxJMBNhwZ9fMO9bTSPOEFQciQK+feZKH5wkuih5aOP1QdSNrerEEHzRhnyJ17uEZHAgp/dFKnTp2RERWN2KgURHruGakmPvn4w/DU+o0ysnLGxh0zsH38+AkWD8+/deu2TQW9JnODM6bPzGcnHScEEgIPCAEIDVKepOGrqBGuS5JFr8tU7IlqyTIDlzLY1nY8bHo2LkThj6acc+2KJGF4AXvLprbQsDgk5duaFHbp0gVJ0JeNV7g+QWW8pbVF/UqTwrp1641zeN5kTSRDQDTBUBzhalH0y+oNs4ECcAfOSFgCGvxFeB9C5+nqvy9aYiYjRsSm09WxMsOGAwydaGZN7NhzMgZEBqOz0khFxTgjZQizurrawEdlARnflL6Zl4AxJIidURPMEqKTDqKdMWNmaG1tNQtXz29+Ts8rCdUzq6WvnmmD2V988UWbIIJE/vu///tZ5dCll9pu9pYrRea1dYstreknIZAQ+OoIuHAGL3CMdIypBCTXkxKibt26rnX3SqUHXiPivWpmENDzVlfH6d3GGaLLmyLgFo19Zk9ghT4AACAASURBVL4BttXhgMtaEYWyS5xLNEnl2Wc32IxBiJ6BAQh1s2bPCbPnzNJzboojoqU5RnUwh4Gp3QiBpI2wPIs0Qs90Tvao34m5EFB0bDxz7d6uuIkZ8s1yEKXdaK4PMCdMiENZAAQQAASCZhwiDsKFlDEQFOe0M7QmGjAaVzlBg9VniNtleUrNE9Vjphfm/jhUZpoItkrLP+1Vk6RMFuEabDbSm9/+Tnj33Xdt8HpNTY2McJ8I0zW20fXTzOjjo+CFY5g7uYRAQuDBIuAETawIWfQJnT510oyIVUo1sXPn9nDsyFHNFDwVltTWWh/RRc3WQyWBpIzZXWYGMntw+vQZNgoLAoaYaXlXSQpGhQl3zKiebcR8Ux1/E6xPKQqF8AZCIqMzeD4Tz7gX9SjkjDRvTkxsk9MkpRsr69zUsZxnFQzhB3JFS8zWAFCaqXEQ+3Fkws7LYo1D08HJFlKFIAGoQkNceIGQM9cBDH0Q4xEhcl4odjSoISFTwtJbe+PGNT2j16TmdevWaubgybBVU6c//eRTexE+2uOLL7aF7373e4qrPezZtUvz8+eHszJTyBhHativfe0F2c9A30QHZTSONBD4yS8hkBAYGgKUfSdl9pR1rDSe0jZe5Rle+Oyzz1X+rljZq61rsLHGv/nNb02CpVUMgU6fPs3GOM+ZM1sTVNpUZttMOCN+xiYzXhm+gCcQBidrWGy7SBoHn8AdTCyp1gSWbg0qQDUKSdMax8EpTraM5fLST5oHpmC77a6foiBmBzwPvqktlBmX/zlnMytNygYz/ng5+HG/63rQGVPbYQAbHRIgc5057zQ9kLap0ZhV2NPRYx13DHlDrwy4KO5LNSpjYvkk1aqLROjj9AKPS1/VZvFgfIimDx0MrGjy29/+Y1grEr+hGvecpoIyZbtuaW32EQ3nVdz1bpJHQuAJRsBEM5V/tLXZsdBAAKNMHzlyRLP8Dto6gAyJ3frZFyaUIXxBnkjE0VBYHP4Gt9B6nqsxzpR/5iscPtyadeDHuRCLFi00tSfxo55gTPL1a5gMjYMEeBl0DEK+ZVqObmJVpRE4AiJqVOLlmC2O1oj0ZbyF+lXOuA5euw81FAUxW4pzPySe3lLTCwlQtUcKVyHQHtVU1GhRdRFXEoCMAYyNjj2uo8Lo6cH4SIkk42thzpyJ1rmHFH1bQ9uwKrVw4UKz4UrPbGkp4xeRqDV8bnKn7RctXKyxjisMbKsElBKsXv3qV79SzVhqTSZ6fufNnW8r9z733PN6zhxLr9echcSng4RAQmBICMBd0Bp6WncQHqMndu7cEZqaDsr+TNQf/83fYCisx8zn0qknwtDsXU0EUYt12uQpJgWPHz9R5bvE7KFf1PhnjBExAiPO+OuVJD3b1hBEKmbUBobSKO9wyXUZ2mdgAC4KcLLfISNJCH5wDJ2HbPARnGXELWkbAQ/VRTQjrApG8TEH4r6srBBFQcx5AvPXwJxyCLlXmTVCVKYAWgaaDUzM6pWqVmMsIyRMHKgaAIXaC3JHrWDGRnRMHBWaY42qAkm7Up2DXKNXF0NDHZJ46d1F4qbGbNc4RfTNSNn0/laq+aJ5LTaAHT3VCa0lRo1KZ8P7kpqrNDXzBz/4A/XaruX9mQ4pHqTfhEBCYGQIRGmZsksZP63hbKzhd5sxxJryvEtqRFSFCxctloS8IJtrcNkk5k6FuSGdMiYcMJoPocIJjFOGRCFc1J60kpn5V1e31HgDcqVVzRjl9tsMuQ3Wv4ReGW5BaCMMAhwDDEx4VOaIi+tIzahA8LdJLnp+l7iJ8dWQNLyGrImzSocKyEnPfONPURAzSbEKUntLrBLKLL9odzmK/9hKJuMAVKIxgiCmUckGEmQKMOwBmlqMcwDkZTCEhidEYOO8eojcJHOR/Xgp8LH5elSdBhhGYVVsDJvw0un5xUIUa4RRSTDT6Oy50/YMOgzmz18Qnnv+eZuSuWnTM1HVome6Xpy8JZcQSAgMDwEvn5RhOu8ONR/STLx2sxS3avVKTbueG95//33r9Hv99dfUmb/A9MVbt27TiKojIuOL4oqugv4YSRjHKA6kaso+6o6lS5eayhLVA4QNh7Chyrh9G+FsnOLhGobzI99MnDhZ/kxKkyE1CXoIglQeJkAqXpyda4FXnosX6hjNvjB/1Sk2iS0vkNpNuZ+iIeZcmsiF9aZKA2HOayUyWwahqubBVD5TpCFsMoh6AhAjELogB0lD0EjS9J5yHf0TwPPCGcHBtGv0ylPV1Fmp8Y/MwT+v1UauqJnDsDuImZ7VTjWVWBMQfRNqEwaQM3Hl1Knj4Zlnn5Up0B3hcEtLWKAl1V1KvxfwlsD0kxBICNyBAISJ47dLZZc1NZtFykzwYnwyQ1+xzXxe06cXygxo7ZIlUh3O1szecVryrd5GVDCaig564mpX2WaIW2dnhZVleGDmzGnSN88JGzZstEEAzgUIbhxTblFTMogAK3FxYpqIV611yBm+gGfoY2IPx8A13Mf9PJdjNyFh+dF9arebsIfkbFLyAJIyYXFFZfbTXwoJ62DYG8SrjDKZBEkaHY1dE2HarBoB0CFQIFruZYQFagp0UUyvBGiOcRAyBridvCFPiJ5zQITYaYIg+l5T04f1/G6qBj0t/TFpkRAdbut8iuLA1jLNlMX6MD7/XD3BajId19C5hobGgNS8Zcvz9sJ4LnEnlxBICNwPgYyQbSf1pNSJdMqfO3feyiUz+VBdsuJPy+EWM2DUqPK2YcP6OOVaBEqZNKc1QSn3qDKPa2SVxaHWL6MuGE3BSvcQb7eELbgDZzyjY1QmkU8wB6rVs1W2IXaEQzgEBxFjBhRDaHAMvME19pR3OAXjRxR97qP1DEnbsnXKA37Yd79Xq7ooJWZ7N8oMZCuNjKRkNQHE0vibTVXtAZ7rTryAhW4YB8gAxXX8aWpAypAv51wDQGo7HEBZbSmJGD3yzFkz1FSabcCdkAlPpGQqhtta5nymJppgsBtHRXCsrU2GufeGN7/9Zrh86Wr49NOtVpPXLa2xMLycWD3aafpJCCQEBkBARVUOdUCv1AYab6yhbK2tx1Rup5m6oVvC2aFDLWH/gQMqlyGsf2pdePrp9QVJNUZJYVNEKnRRMp5h5Gkxq2xjw6ZL3ABnIJS5dMu5E7RLzXBH1BX7uGSkZVmPM2LFlk4cXEAHIPzBNTY4hX1vj8hX5OzOCFrhcMStH0unX++/Lypihiwt0VkqqVHUejASjRmB4uShTBEOQAEXINgDCmoGzgGYMOibqcHcD3/IGZLmOvcBGsb4mUzSI72Qkb2u4b9AOmSMktCzinMJmPtwDM/51jffDOueeirs1fpkN6Sb/kTjnmdKqsbgPt+bpdlCp5+EQEIgj0BfeacsxvX7GAaHtFtXV2ezcNExt0pNyDwBDItt3PC0WqesWJIjukKkKm3wiM4p81aWdRa5Ig6ttYvGHxg4oxzH/ifug4whaYQ8nZq6ggEAqC8wuUAnIoId3EDa0Utz7i1w5xSzldETjeXDY6a+KKQxHnjenVPyl2PO8j7FcKwMe6IBF8d5AWyRIufoftulZoBs0fFAzABLLcaeeyFQXgqE7YATH35cZ7PaEvB4E3JI6RjFh1C5nw4Ds81BB2CWDn+JFRWV4Yg6DC9evGAdEMz4Oyw1yKeffqqYqGhinBZx+kkIJAQKCHgZx6NDrdIzZ8/boqos29a4bFmYJX3y2bNnJPDs1TTq1jBb6gyMhzU21mdlNepyCxFm5bcQL+fasDwX2cNn7EX1JjpkRmohuGGKAWmd0RqoQ9ngBfbYz4AHiBdegWsgYngHHoHEGX7HMdfZUF0YV+geeMDEs4wK4BXnmkLa+x0UJzELTBIOp3nmOLeaR3scIyXQ2UwUoABBOIgZkNnwg4y5zwkbY/kWL+SqDeAJx3UkaHuG2kkMg+NVxnOpOaQP4pga2vZ6PjUmNeXatatNB717926rXWtra2xVXqTns+fO2SvhWcklBJ5IBPj2B/j+vUywp5UJ8bIiNtLr8hXLzCD9/gMHzXznpUsXw0r5MaMWS47x3j5yo0yayz0HHyu/Et4gUMq5l1/uRyCz6yrHTFaDXPGDCyBeRl0gVJXJlGfklQqT1uGWvjAQOmv8lRV4h+vE6y1qEyal+6Z/zPNsw+Y8zTHld/0WJzFnAJNB30h5IWPyR7XAKtnojwEesNhDttRe1HSskAvY1GQABWjEwQYR47gOyaLeoMYU3cf6LQPOnq/rMR12ix1zxAuprp4ZNkrXxUyiy5cvmW561epV1Bzhgw8+sHi9to13p9+EwJOLAETl5Ziyd0UqiwMi4KamJluweNmyRhPAWqS62L3rS828uxyefebp8MorL9mSbhA35XUwXsvzBWE4tzKvUo0UywZPGFlL4IJ4mcVHWDoPCY+DH0gfQ+LiPs4y5jrnxEk64B0ENMLDPWzuCIswGdPLA+KV+AQPNfC+qHTM/ZPoEjIgWCYFBCTrki7+LhXjB2CABOge3oeucQ0Vh09CIR5AJZzfC3HrLRmJo1cW+gVQCcfzjLWVUD+v0FTvhvp6kfLlsH//wbBx48YwTxNWsO16Qr3K+/fv1ySUVXYv9ySXEHiSEMi4yIuNZR2/DglOGBNi1ARlcsmSGk30mB0uydzBfknOp2SEaPbsWWHNmtXq/KvN7qf8+HYnigOXLQl2hKfsGplms4mVAOMU+ERqyiiUxWvEg/QMSdOBiBozzz8IY4SHbJ2Y4RI2eAchzImf+zgv6JgtKQibUR4eOM0xX0UnMZNYtnIBQGcAhGo1VLYH6HxzAkCQjuklZfPaiTg4h7gBkxqNcBgvgrwBDH8cBB3vAw5XofTVnvZyeZmSqPs7nsNsoMaGetMzNzU3h/maj89ikCyv/otf/MJeNOGM2O+IgPjujvOOIOkkIfAYIMC3H7//2BEHIX+hVUYYjrZihSaMyI7F0aNtpro4oM4/rLx94xuvatmn5Sq7qAe81Qox39v1PSvSeKlUElaGVQaxkcNchVsyycA0bjr/4AUXzuAFNvzo6DObGSJcVBZwBNzTJ023G1dRto2jMiL25+OHoyWOnxs0Kwzru0c2iouYIT9lAMeLcJN5ZNwIU9fQz1SKSAlHzcU1q5UEGjUVRA2AAA2AkC4gExY/wjhgXlNC0CYtxydb3G6UXyeaxCLFv5LgRG7BLI3xIyF5EP50qU7Qk9F5MWvWrFBTU6s8VIQ9ew/YLZ43vz/SciJmxyPtH28EKHcsz4RVt1OnTptNmbqlS61sHjzYHL78cpeuXw/PPbcpvPb6N2S/YnqBD0CG8tO/DDliA15TeMpxXB4ullXCU45tHLF4gmP4gj3pgxMYaQGvwAlcQ7hj4zrXOCYcz2SPc+EOfiEueAjH/UjMODOcRh50fL9SX1zEbMmPP2SFmX0AZJlT7cW+uzOOsnAyNpAFBMCgtqBmAzzOAdbJFzUGRM05BG1xqWbEEReg8yziw9lzdc7eN+7hOO84xQ9d96ZNm8LCBfNCk2p8zuvrG6QXmxW2bv3cVB2EG+zDyseZjhMCxY3AUKgl5sDLC0TFuP8DBw6Gg9qmSpChlUnZ2717V9j55U4jruefezZs0eIUsyXY4Pz+4ZQbvwdShgzvSK0XX5VFL/OUa44R4NjDHaSXIXuReBlAAEnL4pyI16VmJ2by4HzDHn+sYMIl6LRJj6XJEqIf9vdxxUXMGckVgBVIAIVVKA0+UYZVA8kYCKMmABPQABCg2HCAwTHgoPclDGAxDIZOQUiZaw4W4TkHXJoYHJvTPta2sQfXZx3Gi3f/Eh+2XhtkVB87zpgFxQRojVZEQE/1d3//a5vNRPzxGUqDoiFnySUEihcBysNATDKQ38C5oAyelIS8e88+Tca6aKY60R+fPq2hcLLUiG2LmTOmhzdk84Jp1wxBtfJpCghn0jtJulCOsmR4eS74k2pxRyxrlDNt4gyCM3wONSlEzHWEOSdc1JzwB7xCuvHHL8Yb0wAncc41F9aMhDNOgku80w/sPA1oACBqw1P338sVJSt4RiIYkZDJLJNAWBUXYHgR+hFRlxQImiYG0jLXAddJGmBdmiZOpFmueTyAS/y4Xhk+QVIXmga6pUXnEVALYj+eNl55XplfrRVNsErHOOaJeu6KFStMav5i27Zw5MiRwr0xpnu/nBgm/SYEHjUCd36ncErc+kgnn0IvG+wxZ9DWdlxS8R4rp8uXLwszNT659cix8NnWz1QmWsNyjVl+/bXX1AG4pBBNLN86tWKeSZyFq0M8yO6NrMw9KtPiDIbZwh08g7IPF7jeGA7h3Cem4Q/nYE0OU590VNI5aOSre4nD74XIcc5NekI8tifbJVPFonl2jKLv3b9FR8wkGOek6ce8Ie/d9M8EU3o9mGqSAyjuYUNCZo/6gvh8jCI1I7UkjheCA0zC+jmPpybkeZ4W9oTxc7txgB/igPTr6paaHurEiRNawHFiqF26JMydP890aB0afqPXmd1ddPAPkKvk9WQjwLc60Hfq33AfyYimC2WE8sL4ZMx0YrZg5swZsmveqHLaK1Vfs0YrHVBZ7Ajr1z8l2zLP2arW/csX5/39IL38VihK/V4SYSBYNk8pnXCQJQML6KeinDtvePn3cs79SM0IeoQbPx5OiRzjRA7PsOFoicMlxMO9PcZHbhBJXMJf1gmoTJnxtX5JvuO0KIfLAY7phmBJufhyBC+T5Mlc9gHQY1pSMs7A815T1BWABaD+AgEMPwBlT3yAjhTt/v6cMpn/o8nBCzSnHfH4R8Ixzvd2kjtHUl+7Zo1eQgjbtm/X2MyZ0jvPt0VaMb6yS5avNmx8WjY5Bo7H40v7hEAxIeAE6WXK0+b+hXOVTcju8qUr4Yjsll9XRziLG6PWYwTGnr37Q0vLES0sMSu8sOUlGwpHuSQeJ0eP60HsY7lVTKISBDsYhX0PRnE4FpGywTlwCPlDkIOMKcvkhTi4Dl8geHENP8KSdu4nLGFMapa/WEQchh47SunwFoZ4/PlmPF/hBnMDVYWDhX1o/mQax55MOxBknFoHo/aAAmjerIBoaWY4kNzDsYOOOgM/J3DuJz78OOZZbOifMHRix9obkgDoYbJ0cX0wR5zz5s21+A8c2G82Y+vr60yC/7t/+HubEcjt/sx7xTXYM5J/QqAYEKDsuKNsdkpyZAXqfZKIWZOPscnz58+VYHLJbMkcbzuuFeenayXqZ2Tvot6Ijfspp/0dcefj7399oPOB7slEuax8y8RCrpVM2UN9AX94GvAjHriCY3gFiRi+gIjhEtQX+PkIDdLCNdskMBIXm/dNuSrU46ZyuJcrSonZwLXmU5/6gEyWl6C6kCgqsACAcNRUECHn1FZkHNDwYxxz7GmNq5ng72BznXPC+wsBKF4i8eLPH4IznY8M01NqVOkNTsh+H/FhI3a9DBv9w6//wTo7Fi5cFGpqZEf2/FkZOfokfPvb3w4VUsX0dzwXR1zJJQSKBYH7fY98t5AUQ+HapL5AVfCULMDpQw779h2QoftmM9W5bt06M0LEwqjcQ7z3i3vEGFjxjXpkBNYSSaw606YWuWxzuBBHOiBd0uG8gMDHBvk6b1CuCQOJQ84c4wf3sOdeNnO6Fjkqq3BUnAtjsZUCz/tgebu7mhos5Cj7k1BPrAGA2kLOQeMY85+88MqsiQGYgAtQHBMWcsaP876mSKyRIWWuQ9asvcV9nAO+g4ze2h1+0GRhYknkTAvLtXjRQ8c9/my8zPr6pdah0dJy2Midzo2aJbUycnQknJO9aNKLs7ji7ek3ITBmEOD7jeUzLu/GpJGW1qMmxNTp22eJppZDh0XM+2wJtw0yXcBQOEgZNxrfvaeJ+H0Ms5Uz6MQKs56rPz28UP6cUCFSyq2TLWpOzp1sicfLN/zi4dnDOVRMcAkCnalNsvA8y50lAT3nfVzZX8rdJ8wjuWw6ZlVzAAFQ7iBJhrq485eLdAw4OJaBwYYyw24Ii26IkRIADcj0uKKfthem8P4iAJimBzhSAeDsJaqSoCnCvf48u6gfk6oJlwPf7pEfFcOs6llqwu23j7Rax9xxTla0Thw/bgvBMnIDl79/oHMLlH4SAkWAgJcbkkL5uqRhqQcPHjIVBosbL9J28WI0UcBQOAzKv/jCFpOgKWO4/PeeP7aLD+AnxumlUxEiBPGvPYStBKjc93EA/pAqDoGNc98TF8Kct8jhAQjbiZlwhIFfLG6xRiTzyF+WZ13Pm/60Vrj8BnN9jDdYiEfgb+BBkOqEw0VpOE6VRJ0AqACB9SekYJoIAAdYgAdQgMyAdoa6kH/A4RokzEZ4xheXy+wf1/DjuTh/Pn72HCIAQ123MARjGwzXzJ97sR+7eNFCG5HRqxmE9XVLpXObp5V+d5nOjbzF/MVncw9bcgmBYkTAywhpo4wxXv/AgYPSIZ83s7eMvrhw4YJGXexTJ99h6ZNnhNc0FK5O3707/75H/1vvK0exdEEd+Kkc58odfpRBb2lz7iRNmlFbIMxBvHAI3EFYjpGScXAOcUyAj3TOqAznD849r3asEPzdyxUNMXvClQNyYdbj8CNzOOXZuNBHa/CBtGu+uwMIuTISA7bE+AiECKDRYlSUigEO8vZ9pdbsM57XXfjzLAezQMIkhwTkHPUwf7hCunPX84fEy6KPGNref6BJq22PNwPgjG/GotZlzS4ijuQSAmMFAcoeLdRDGmW0fccOE1aeUn8KNmP4pnfI76LW5Fu2rCG8+urLMlUwJQo0yuCj+NZJrxMhpda27CfySJSG4ZA8QUO+zhe8G66TfueJKBVzpe+ak7sRddaCJ858CTcM7lPm+xSqMf5H/usZYC57F5NJoEABa04XyXB3V/RzIPkgOjsnFsYrs8gqpKy6TjVbXOmWOJCuAYk4TH9UMd6ipfkBwXvzoqJUVuf0Zy9UUjlpGu4H5eFJI827V/WBfqqp2RfPXzY7GvO1aCtSxcEDzeokXJNVIrHpEz8dSxpP9oO0Twg8EgS8/FEKfYHUgwebCguk0tHNAqnNLa3hqlqprDw9YeL4sGH9eksvZcHLw2hnIP8c0/OqNd1TQv9TVH/iR6e7BrNpQWfUFUqRyj9kSz6dWCm3SMZwBRvXTVUBySoO5xE4hXsgae5nxIcbP2JatjvDkB5IBhLgqbAZqw2ITdERs2fE0m7pV/Kdm3SIOU6ph41IAQ8HaDjOqeGQnB1Q/ACSIS+AiCMMxA0ZowcGtNsagldRie5IIz+Ymq33yOKPgBeBjAf5F09cQ3Hos+doCmqVJpvs3LndbGosX1avdF6Xzeb3lZYKkfN6S0df/IXXNpRHpDAJgVFAwL9Boo4TtfILpDI5hDJC515+gdSVK5ZrwdOqUUjP8KNU0bfybznRsQ9b65ZVOcgVB+FCqKglvPzBHzgnXM45dhvv3GvcoT0mInDcW2EchI1ntfpVKVAR4B+3+Hx/ht00yE/RqDL6pw+y9AzYEDnLuP+IhEXGrNEHKWMHw4k4kmzU+0DKgAeIxMU54ELQHp491+goRErn2Go3AWt7pQNnZJ0d42/X7MrQfljqvFFkvHvPnnBC4ztnzZqtsc7zJOl325hPamdcjJeqgFdTtK+HpCb3mCPA546kyYy3a9euSmfcok6+JkmIPTbaaJwEnKMtRzXdeq+1Vlkg9cUXN6uzb7qEp9hR7mX40UGVSeuQo7iC8mWETIc+aYRHjEzjUFqENjiFiSQIb/AD/IJqhj0OToHMydt4heEYh6BH3DyjW7ixxc5Au2zhbfKa7sNx/2D4FIXE7CR3VyIl+lPjAJxlWJlhHDFjL5gIAplVZk0IwCQMYSFeQCJeiJhwgIlpTsIxPhHQucYzFUz7CBSA9cpYBvHgHLwIpXkN6yfGH5tK8+bOs55pPnD0zgsWLLRpqidOHA9Nh5rD6pV9BvUHxWRYT0+BEwLDR8C/PaRkSJgRFsNdIHX4Tx2dO/LllmNkZPJn5R3hizwiDYtc4QO4AY6g3DoHsMcEqV8npRz7dc7hHjiGe4mf0WPEUVHgmCjM2bMV5n7u/iHuF8MoXbePQ0hS45BBMmxD1iTVotOhJoOkAceBdOkYYuZ+ajLCAja1HU0Vjum4oEeV2hGAkQgIxwgOd17TUaPyfP3Yc7jOufl54Pvss9vDtKlTbdgQadm3b7+MgUe7GqTjow8/CRdUKxOv5f0+cabLCYHRQCD/7X2lBVL56IvAkQpTJ2hv8xHEC5AoU6Up98xURIhzTuGYDX6AYyibbgCNPeHgD9SlhItxxRnExlHiC1rzlSxZJVWGE7ThigA4REyKgpj7Ex3nVhtp79dixqjBo2EQSBhS5ZxrgAiYfsx190M6ZrgLjnsYV8l1JGmAhcDZGBAfnwcsUYXBS8UNFVALfNcPd8cYaCKtXLnSlpw6e/aspOb5mohSb0tRffTRJ0pTfNlEQVqSSwg8cARUXlRQ7orWyph82X/VBVLvivwReVgu7UdlKeMT9OJmSljnkC2bkyzHcAQOHOAI5xW4BvKFSyBszuEP5yvnHqAlfjiMa/h7WRajDQmJoiBmTykZYMs7zzSAcI2eTvzIHmSKHySLH3s2gGXPPS4ZExaHH+D7vfgZaFJfcE0R3pEG0T5BCsDayQh+LM2kUdL88mWN1tG4fedOnY8LtbXMEKwJhw4dNmtcRN8fhxE8Mt2SEBgSAnzh/r1BNA9igVQznTukp49uIPJlrd/Iy0bOtLxpCedbxZR9iBSyxbFHsIMnvGXtZZhr7s99HMM5bMYr4ox8S5/4uJewxjV43McVFTH3T6uyYV58LABsmVMGAYAlx9Ezc43aDj+AJRzqCl99AIL2+4kM4CBrQEKS9pcROwZ4jkDU5i/P0+Q2l4mfbUTOstMbpqjGffHFFyzdbceOm+578eJFmm1YaYbDr9t47BE9Id2UELgvAkbE/ULhh3TIkk8s83RJ1uEQFhYsnG8LpO7YvjMckGEiDNy/iMdVlQAAIABJREFU9to3wkqNw4+lk19ohL1vOiwC5+VUJTamRtyhKqhAur4Wn08GsUAq23AGPAFH4CBmOARCRk0K18A5TsqEgcR5inMU15wrnIx9T/j7uaLo/PNE3pFwYWjjADMbqA4yZIwxElCAHwEKnY8Dx7A4mhp8ZNxDnFwDKACGlAGWa33gi+yZnqmuAQzvW+T6pTmiCLIP0GD3pA5r72n3/JXLtGiNOv/Oa2o2BsSffXaSWdpivbMdWmJnvMaAvv7qq0qP0m9Pir/DemgKnBC4DwL+XfKRQSzYutijVUZQt7FAapnKAgukHjrUEo4dPSLztQtsgVQ6wnD+PQ/4mCL5ZCm1OEsrfKA/E8bEK/A0AheG8wkHBnCOEzL3gBF9U3CG59ePEewIC7+Ul0tqpjVv5kTRX0fO4X427h0OJEUlMXsm2IMUQ9QKoOqAzFrmdI3xzBAreuG85Mu93gwBQMDmnJcBiBCz65MIa8azBRodfwBLGH8h1lmg5+YhNYB5oyN03Ekc46XCWCaVBtPGm5ubTGpeJLJGat6nIXX4Rzxi02qEj0u3JQTuiQBlarQWSL3ng0f5onGInkHL14fBWrkWsVDWyTecYFYjdQxHUPbxgyPYexyu+sQPPoE/iIt7nEtMiLO4Ka9iDF3vv0FrQ3VFRcz5REfSjMQMG5NJgOOYGYGlqpkMYMYLZqC6LgiwIG2I2f2ID1Ahcfa8GO5j8ofN1FHc+LHZ+EY9j3sgUp7L30icv1zST21j70a6Es6rqibbtFWGy2FfYN68+WHt2nXqyS3RMu7b7dnDeZkjSV+653FBgC9raCU/fotRQnxYC6Q+KpQpdVbyVJBiWdSZyh4YUNblGXkF9LIwlHeOIWL4AmJ2hx+8QhhUps4lRtgidDgFgdK5xO8zzCMFuNc990WpygAUMkLmySDNDR0WjNgDdbzWFW4xbEVNDc4BDdUGLh+HxwVZ448OiXAxbh8BopvoANSfv0wDU2f+yeP/1V0sPOSJl75xw9OSWG6EfXv3hec3P2/NRRapbNHA/RUrzpjBfc/LV392iuHxQMAJuP8XiX9/v4FzjFR4St/ZkSNHram+eMliWUKstgVSmw8dkgrjqC2QilW4O9biy+LPRAwrp3yfbO6shTm0ZPgtD3wfy+6d0VoK4RYdIEkzVRtXLmNpPVnrGh7BoR7lmDLqPMHe88keDoFzcHT2lYmzJo6fKEwiOgh88sqEMXEWYfEYghuZGDiEiEcSJP+CAYHax1yWF581Y3kzqVOKeQHqOh/u54W47tjvd9Jm7zpml6Q551m8rWjyM0rKvYqH1Z+A2NLF2xyBIz19HwkZYYuwEy/pwJZGa2urrHQdsM6WlSuXq/Plcvgv/+W/httaIzC5hMDdCNz5PepT0ncaBRK+q/7OvmH5s3+kC6T2T9gonnueqSgo+1Zh6Hn4WykUOQOaS72EoSOQCSfe4ma8MgMJ0DMj0EHUeanZkq8yzr0V0jMTMZxhv9lroPzjF1Wzd7+bgSAoKmLOJzBPaACJcz+AsckgAgG/vEm+eC3qi7gPwOgIpNnBMdchY9QdHLOp+rT4GRhOGOK0r9x8Hejs5CvuPA/seRYvmxEZ4ydoRMbevfpIOrUe2pywSH4XtX5hi+zZ4vwjs5P084QjwPc6UNGN3zHg+PcCIXj5QQB5lAukPtKXBhmrnGNK2Mu9mXVQH1WFrFF6n5WXSdQX2MXwljVEDYHDHV524RQwxXa7ETq6a5n2RRp3YRGmNj6xlzJ0BAZ6u0O/+wGHzJMWxyjtcf5h9Wp6KP5IwuhhqZg4ZgMISA7QAcsIV/dCyhwjmRIPx/hxDy8B19MpQBV3tAsQmzc8J9axWW2rZ/nHbjfxQ30R64yC13AOPL9Vmir+6iuv2q30ildNmRrqltZoZeHq8MnHn5oBJvLkOPgz7kqPX0j7JwKB/Pv3b4l9fwc50y9z8eIlTWw6aCMtWCAVgQCJENOdWz/fJimxTN/hS1pl5HkbmUE8LqgMFG//5xTTuZcVT7cPd6W8Gm6WOWGlf8oW4cgrIzQYOuskDK8gJcMfkDOE7eeue4asuTcuexeFRZ5DnHGLOBqWNMPd3YM/ioqYPb2FfSbxxoZHzJyRMgRbriFu+pBQbwCMky0gV1VVFSRiajyAxI8XAuCu6qDGo4mCfoh4Skv7hsR4GkyKtoaP+zz4PR2QGDRavnxF2LVnt3UEzpUxfexpoNL44ottWTMoflRfuUZ48FlIMRYRAk5GJImRRY96gdRHDY2TI+mwGX8mkMHQsTxZq0JDZfPCjwt48IqrNeAPhD/ig3PyDjUGpJ6Pg+uExaATG4LeUF1REnO+tmO+OUp1d2TOEi2JubtLUqTGI+JcT8S9gIkDXM7ZkAwgdUCGqDnGRdDjbELVneZnP9Skuo/NHfEAtMdpOPclzYMNa28fjSLCuP+yxrowdXJV+OyzT9WEGhfqNFV72rTp4ZPPPjOLdP7s+ADSktXOw3piCvy4IGDfTq5s9M8X3ymCR6vW4durzmV9uGZEa6LGKbNA6udbt4a2trawbt2a8P0/+P3Q2FBv3zbxEPdYdndgoyKMfhkVgxUaU13iI6LmivxVfxlfeKsbwdalZW81uBQNKUPAcAhhTFqWCoNOP54kVjLo4B8sYNoz4REemIe1/7ndFX+Kkpg9fQ4uuiEyybkNb6PGE5hG0VnTAEAhWRygISkDGI4eVtcHASbAEh/Xsf6EVMxHLLG5cI+9NgGXN/dpkY3SD2mZKiNHdXVLAz3lF85fDLNnzQyNjQ1hksh6m6TmLtmQxZFUltWyNI9SelK0YxMBFxoYn893XwwLpBYDkpGYM1ZUATJOFJ/wJ2YxO8oqgtkAAJGyTsDQBTjjioxfwNhIN+MksyAnjmLUhfMTXEU4yiz9YcMtq0U1XM5fIJnC2Uem2odzlOucU7vRZGAGIICWlleGWze1dp/8cHTqoQ+idgM8CJtzyNqbIYCMVI1/jEfkrHuRzv3ZdAiayVGFdb/+e3vgA/jxeEkfS77f1GKyX2pNwMkvTLSOwDNn5puRoyYtAb9MRE2+kksI5BHIF3xfIPXw4VZZVbxhw92mTZsqFdlFq/QZN48hL1atRhBwx3eYj8f9x/w+42PT+4ozcJ5X1Bh4lYhbOLSZxcIB++yoNilr9D0h2CHQcZ+rNthzHT+zP20x00JHbhTla9NFu+7PYz8UF0XKoYR8CGGMiMlVzrmpPogSRzOBD08/McNClfsgYrueNTFowgEaNd64ceNNggZYwgIyAEHMzPbjGUwqcdUFxE2rhL1bnLPIR/mHNDHCZPWaVeGqDJMf0BqBs2SbYNWqFfZRvPvuL8w2LskgH4UOjVFOV4q+uBHgW3CHYFLcC6R6Sh/iXvDE8sKAAgQtbRlxwhE+3lgXLFGmshCOEDLXXKijnwpOwBEf/pyz+TuwN1F4H5GUWY17uK6oiDmfeM+oZVxAYssCB2FCYDYoXATdKT0z0rKrMryzz6VmwCS8by5JEw7StUaN4gdkqkzC4ZDK7SUIZE+LXXjgP7xKnhsj5vnTp0/TEvALzKARKydUV89SR2CN0tgbDhw8OMrpeeAZTBE+BAT4RlFdjJUFUh8CJHc9AumYPyNlyJk/lTeIs0QEbXvdBRdgJA1BzlWftLDBGCJ3QmZPRYg/XMFoDuMr7WOBlj/P8cJ9V4oG9ygqVcZAGYjAaelEl5ANyKisR9VQWSE1h8ByACHpKCWPM2Cj3pke1Ei+EHZsgnCuIXM2rhHwoGj+omOyCfe4pJ55j9LO6lnFHT8UOieffvopWfW6rOFNB8LmzZvNZjMkvWPHzrBm9SpbBXyUEpOiLXYEss8FksFBEFdlvOvokWPhqKwVzpkzL9TULLF17DBAhFU4tTPDpuc2PZIFUh85nBRqkaeaxraHkhlta4Udf8hae7W9jXhLM65xIoaMaYHDRc5H7LkOMVfIKBkjxCDmMkVnJG3xi6ize5xXhopF0UrMZICM4wyEeJBlWgCpKYKynZqOcGyQcmyaxIkjEBzAAapJv4qDPWGIs1ykrkO5aBwJPzZeGH2KsWaNfoVrBB8lF3t1YxpnyILXU+otRx947NgxEXFVoLDRvHr/gw+Up1iDO0ajlKQUbREiACHzh2vX933ixCmNsjgYzl+4JH3ywrBg0bxw5vy58PGnn0kddtDUYa994xth3do1RZibh5Mkyq+VfY2SiFOj9VzzExfYOK84wKCcySbjog1mWtRUemxwCxtx0NpGwGNjLDP+ONNT82bUsjXqEkcxgzjvnKt8n7+WPy5qYiahokVLL4BwHAlSOp2MOF2SJpCDiERMeDZUHPijzAdI/HBl5bE2s1pU0rLFzzXFy7FZpMqebTeM2g/5I03oqWJeeRSVx9y5c205qo8++tDSu2zZMklDc8Mnn3wampqaCGZ5s4Pcz/1eei5oOixqBKI0l0+iEzJ+NLXb2o5rcsjnNhx0+fJGW+T39KkzYfeXu0KT1F5VVZPCN1//hpmVLZ4FUvM5eljHSLgqX4LUR1rBJS7YcIyetELEjYVH1IYIdXAH19i70Mc98A58AknDN8ZNygqk76YjYGePf7i5LFpiBoxIolEyIJOGKjlEKd8byRNlPg5wAMEU9/pgARWdG7ohaj6OHSRA7e6iZhOQJVF65nnQIs0Rrw6oCh6ZU3roCGxsbFShuxmOaCwqY5sxKLNgwSJbWds7MT1fjyyt6cGjggCffP7d2rH8GDlw9eq1cLil1cYoT9dY9/r6OisiTU2Hws4dX4Z2dXC/uPm58No3XjErhpmAPSrpHFuRilek94VbbBORMtbYhTH2MAEkjFAH8SIVY6Mah3QcuYY5FKg7tWcMs46sU5G4mayGilRlmC3PIsYz+GUbcQ7kikrHPFACjY4FAKMxAA2JQVm2DxZguA5hU8MBJo6RFj77D6misjLaZe7tBVTW6orNk1JqOl6EQMIVajqdml8eUQsxuj880wsieeUDWLlyhU2nZT3AmdUzZUNjgc0GPHjwQNgpqeiZjRvsY/H7SKHnZ3RTm2J/OAjom+Artw89Ch4XNRu0qelwOCPrcHV1S8OC+fPDZRna2bNnpxnDYnbbyy99zUbzFNIovyfRebmgTHi5AFEva+wR1MCYUVmoI6CRygoNOLDBAUjYd5YpyuZ4qUlLGYmg++4Q7uCS7Fl0JtqklhEAX7QScz4vZN8WRVWeAdrANkwiGY8bj4qCySfSMQs0G1EBuvKj1gOgyZqkwTFAsjKDxaezOHwmfrS8GOKmjvOXmE/Hwzjmufln01yqkZTMfvfuXVb5LF26RE1W2dGQSuP48eOWLP8AH0Ya0zMeMgL6JpHMOjo69b5ZZWS/hnzelFnYZRqxMzOcky1vbGDQFzF7zqzwne+8EVaoQhdD6Htm92SS8mBvifJtUrOkWyvvwodzm8dgqCGkaRN/oMKgX4cyySolkLLZb5eUjSCIEMjey2ymLbFz55jB0nEv/6KXmEk8YNhe4HXpL+qINIZQ52h3OC8TiL1SbxDW1gNULWggKowr54kj6psFMC9C4DsRxmfED7jYPuMpMnL0nHrUf/GL/xqWLK4Jy6RLXKwVtplOu23bzjBfEhPSNc4/EDtJP2MAAZizzxmR6jT/HvHr6OhSJ9+JsGffvjB5UpUWWFiud16ukRhHNYSyyVa8WavOvaeeWhumawapioW5qJrToeIwr2L7uGMyR+03j6M/BD8YpVecofrOWs2oHLDPjB66RDzS0y0hrSSacECa5h3AGSwdZTZ6FJ5Y8qSM5TrwRhkC3uZGiPeYIGYy6ACbHkeEav1kUklEdUbWeScytuaIAK8srVATpa9GhJz7akdBKoCZ2WODyLWHmAG2WCTPfDpcaq6trbVOv8VLFoX5C+arGVtvNjQwal5XV2cY8T2M8Fuw7yj9PAoE7i7F/v7RJ9PHcPz4CRm2P6Vp+nPUxzA/dMkiYmtLa2hpbQm3JT2vW7sqbNq00XSiEAkkgrs75keRv+J8JgRKJz+CHapQgRZKRSw2G1j+UC/vAVKGf3orMp6BK5Ql/JyXdBCFPfbQflYIub8QZhgwxLc3jBseVVD/UPuPC/QPD2KFfLGNWonBajnXOaM7BtxoWQrEIsAeJ2EhegDMqzaI2+MnzGi7+BEM/ETsaLz+2mvWqblXpkGRmpYuXWoF8YMPPw5nz5y1tHoc+byNdrqfiPgP/TRsKdkSfnqof24PhZ9uiQXUCuqWn4a7gvS/ZcBzK+p3FOIuCRosObZv336Z6jyiadTTwtK6GhsiRwffju3b1ZQuCa+++rKtus7wUFxs/cWHxFh1XDiI/k/6L+/KOANVBJKwzvnD8Rv1w9EH8ias4xqvc0/0i9f4BnSjii8Vo8dFfCNxRU/MAJZ3gFAAUZcMLIFBhx7ESw8rOqDYxGC0Bnrn+BKoyBgmx/UIJnuJ35mDzKKKo8/Prz3sveWRjyXLP7s4lrkm7Nq925qu2NNllMahQ4etI7DbLO0NTOwPO/2PzfOMkPUeGt4OHw+Qqfd+2BDeXv3LTLJqDj8Jb4eGH743QMjBvPi+KYYuncX3d0tj70+ePGmzP8+dOxdqamplN2VhsKFwu3ZLej4ZqmXkislHjNwpCCEqH8kNDwG4APwQ4GBXU0dAxPIrl6DnozY8nJdN+Ia5Dtxr5G1xRBI3dicubSNxY+It9s+ckTFkm4FpwAhUMJC3miZaFVv2mvGnZ7WsDGMjMXx+JexI4BnR62aXxl3qBNKRwTqSV8E3MfiL5Bqdl3V1tfbhHD58WHkqFTEvMjVG65Ej4fz5C1ZTk/6IGYU8EfXI3kZ2V/2PwkfCs7f5J2HzXRG9F959J4S3fvcNDxx+9OO3Qnjn3TAcaqY119fCiWZrsZOyU4asJk6YFDZo5E1V1ZRwqPlw+Fijc5o1hh1d8u/+7u/o3S8t3Nu/nNyV3ORxFwJW5kTCmHxgo8UMQZuQp3OVSPuLHKPz7Dp7VJ+QDnEY13C/S9/43/W0oXuMCWImO/0/OgNUmcdB1KgxIsgRpFi7SXcMOeuaqTlE0kjEXIv3G652zEsx5X4WJ/E6QXP8KJ3nnXTPl0H9N7/1zXBWnX8s2jprdnVgRiDjtLFId/PmLUuqF/RiycOjxG/Unn2oKewRXa9syD2hYaV89gQNJ76v63s3sfJkxtiN69HeBSMsIOPa2qXWEbX/wH5Jz3ukymoPa2TkaqPIevLkSfaN+vd83wemAAMi4ATK+7AZxcYPkSdM+Mv4InIK0jXCnkga8oUvtHHtQbox0/lHpgHBCccAMSAFiD5o/gwgpGido8xX52oWHp1yrMG4z0A0QC3WHFHH+C1uXfJnEepRO887H8TcObPN0NEXX3xuusWldUvDZdnV2C0VB+uUbXp2g9LOEJ9Hr5J51LgV2/P9m/JvTF+Zksj45B7TJ7e0HLFx6o2N9VJdzZA641SgdXTs2NEwW5YGX33lpWwySSTzB00IxYbXw0yPcYMEN95RdykjNFAyiXg5iHDbzk019BfkPK1979Z9hr9/sDQ//OcP+w4DT2Ah4UK1AGfNChGtASbiKsOoCLN5hCn6ZaZaupqCD9k2misKqxMj/IESwrMeBMgDxT0SP08PY7KZWNKmwkrzdrps7dbU1CqtpRo+t11rBF636J0ERvKsdM/oIpB/NxhTP3fuvPUdMPqivqFBJDxXJl4vaNQFpHxEaqyK8OILW4yUSVkxfZeji9TDiR08EXoiN0QVKGrQqPqUP3wCt/iG2iK3edkUHT0QN+aIOZ9rQEJFAWgAYzoi7R0kv+56Zc4hcRibF8A5hG3+2o8VR1KZ2bh+/Xr11h+VbvmibGjM0djWZTZqY49W26au98IPHsmNAgL1jWG1ugT3Nefibt4nn9VBAu+QXHt7RzjWdsKmV48fPyGsXbta73ayzeDbtn2b1FWnrXPve9/7rg2TI1LG4vs2pIekQMNCgNJivIAQJ2HHJpH4HmLWsQl6w4p1eIHHDDFDMr55Fo2AM/DExurw69P9GPFm525b2UhckrITFeBSKxLWydyv+TOKbe/pY/7+5s1bbP3CnTu/1MzACnUELjZVxt69+03/7GGLLQ+PT3reCL9rfX3e1aehc39lvYHBuwPzefWKkj3TgLF30dLSasPhGB20fPlK0ysfkD75cxkmunL5SlilGXyvvPxSWLhgQUGAQJDwLR9/Ov5qCPTnF2JzXoAj7Nx++34g8dEQezQ1HAVK8btBkyly5RrralG7McGEAeM4/AHW7zWQUX0ISQoCNZ+50UA2xjwqv+QHiQk7ILs0dOrjT7aGZ599RhbElsqiWHP45NNPbTbg7/3e98K4yriqbyLpEb4KhsvdNVTurfDL3p9l5Ms4Zg2Z87F0m38Smj/6URhIYEbvr1dnhrYYQYM++fr1a2ZFcM7cOeH6tRs2YeRwS4uNx/+TP/4XZoSLIVvc6CSR/55HmKt02wAI3A/Xga4P5OdR3+uahxlsP2aIuX8GPNNWXeljh4xFuXcE69K4XsLxQVvTg1pPYe0YdvYq6c7b7oijWE4K+c0lCD+M5//H//s/m+8//affD+23b4YPP/wktB0/LpsJb2qNwEbDAAkruUeLAMRMZXrm7LlwUBXo7dsdmiRUG2bMnBFOnzkT9mni0LlzZ8O8ebPDf/eDH1hiqYBx+YrVv4W8nwVKPyNC4Kvgea9773XtfgkdU6MyBsoM3CqZ2KRlrvvHyiiN8hLW8dPEE4Xwpsgd3D0GCHmgPJNHf+mYBn3xxc3hs08/D83Nh0J9XU1YLJXG5StXJE3vkTQ2J0zRsCsPn8dooLiT3+ghwFBGhjjSwcekhRUrGtVHUimSbjIDRNeuXglv/+jfWAIgZP9m/Zv2lPU/d/+0f/gI3Otd3Ova/VKateXvF6z4rpNpNkg32kGN555SpGfTIUtl4R+4XxuLe89v/mVzjB2NBtnira+v1YSEneHCxcu2PuDS2tpwRB2DW7d+/ljkfyy+s/5pZpmwg5ocMmHihNDYIFKWiqJZK59v13JhV0XK//rP/tRmdLqUzP35990/vnT+YBDwsvVgYnswsYxZYn4w2R+7seQLrBk5qq2xZvL+fQdk2HuC7DYv1Kyx8RrbvFeTUc4VMpq/r+CZDr4SArRGCptiKhzLn4UaMM36qZZ5OiVpec7s2dZJe/369bBLE4JapU+eqeGO/0akDCEz2ob703v6Sq9kzN+ciHmMv0IKMPrjeVqGavXqVSYlM8Rq1qzZ6uVfYcMJIQUKvRPGGM9y0SX/DhIVqeLAOi791BY+/2JbuH7jRli3bq11yjLE8bOtW8P+AwfCW2/9y/BHf/SH9n78vjvis9j6/7wXfpi1GAmb37bcbWWp/83pfAwgkIh5DLykwZKYL5AsgbNxw9OhtrZGUvIekUK3xr0u0ESFOaa/bG1tTeQ8GJAP2B9TtEyRx172sWNtWu1ioqzC1WmSSGU4Ipsme/bs1fUb4X/+n/6tjVO2FTQyQr8/KZPYN8LPFN4r2rj/ZXhLk8F/8O2BxoM84Aym6EYdgTE7KmPUkRlDD/ACygIBGE7/1a/+LjQ0LgtPP/2UjKufDB9+8L6GaHWGf/7P/5mmck8vNJOHRgJjCIhHkFSwx4FlfA890hNftY7YS1oCihVFWED3yjWNWZYVQGxgYIzqX/6L/8HUHL5WZf93wbnHOZRsvffDkvBmkJW7nw00gnooMaQwxYTAmB+VUUxgPqq0eKFmhtIc2dGorp4e9mgZquXq9ed8wcKFYa9mA7ZIn7lx48ZCMsfQaMFCmov1AFLGwBDGpY6fOBUuaJzywoWLwuy51eGa1uNrkrU4SPkv/vxfWxZ6ZKZW/dPmvnLntMZa/9U7m8NPmhMpF+v3Mdx0JYl5uIgVaXiX3FglHAL4zT/+o6S1OeG5Tc9bc3nbtm1a9aIz/JN/8nsmNVs2JJXhxuioQUv7o/4x3FXDtYuUjxw9YrP4JshU58oVy23UBcaHmDByQ5NH/vRP3xJpn5SFwLkmXXuF6vv+eRmqxJyk5f7Ijf3zpGMe++/QcmCFWwzL9PNFixaFjc88Ew7sb7IRGbNmzTK/mzK+/tHHn2ohz2gaVOwgUna5+TEBYhSzEVUVES8/Zs8IC3T4EPCMmTPDKnXClsj+N37YVb569bqRMrpkSBnXJyV/Rfzf+2F48x3NREwqjFF88w8/6qTKePiYj9oTGbvNdEZGabCk/VyRwAcffhi+993vhEYZODp7/rzGzH6pBV2XyKbvykxqIzlJZh7OSzEpWTcw6uKcVBasvXfr9i3N2JtnxqSuSp/MmOXjx06EH/1FVF1QGbpkfOf+q2AfbXNs/knzgLY5hpOnFLa4EEgSc3G9jweSGgp+lWYE1mjZqWNqXjOOlvNanVdLomMNufaOjowo0icwEtDpaGUW3w5VdCdPndHY5CWmU7Y1+mRE6kjrMSPloxqVwVBFOvzcObH7+Yj37/21bHS8FX78ozQSY8QYFumNSWIu0hcz1GTlCzmE7NIYk07WyYQkExx27doVZs6YoRWWZ4k8FobjGsbFkLp1Wu6eUQF55/fn/Z7E4/64+jl71uM70npEhHw6TJo00eyRVGoo3OFDLZrZd1CrVt8O//Z//AuziVFdPXOU4NNY5jffCUlaHiV4H3G0qfPvEb+Ar/p4J4x8PJAr/vq3UQL/6ec/DzU1teoIfCZcvHQlfPqJZqGdOqHhc39oY52R6FznmYg5ItkfV87B6ZrUFK1Hj0l/f1CTRRaE1atWyBjR7bBv/36tNNIS/uxfvWURdKhFgplZd/5OOB8qxvl7PJ60fzIQSO3YMf6e713Ie83o+prVqzWpYY91BFZXS2pW52BJaXnYLT8IxOPw/RiHZNjJj5XYnZ1w/bFAn8yMSsysnjx+UrMsV8vMan04qxWsd375pa1UDinv3bvPOlch5f7kPuyEpRueWAQSMT8Grx790aa5AAAgAElEQVQSyW+eJfwmTJigjr41tl7cbs04o3NwSc1i2dJYbCMGIJu8G4ik8teflOM8qXZ0dNrae+B3TSMwGhvrJC3P0zqLl6Rj3qHJJE0yQPTDcObMWVmMW17QJwt+c07y/o6eFAxTPkeOQF9ba+RxpDuLHIHp06eFl196Kfy3v/t7swO8ZMmiUCtyvn7tqmw2fC6jRxM1KaX6iZXwnDj9NXrlxB41RVvbcVv6CQNDS2rU2lDldkhW4Q5pkdR/9of/vd3GxBLHEEImTlRJySUERoJAkphHgtoYugeSKNOYWtYEZCbaxx9/rKb27VBXv9QM6uyQyUk2xtiiQ8X1ERXMMtbZZeh5yIcEC1YeRwW0V6NYsGldrzX+ykorVLkd1qK32wqkDGazZTUOPT1DFVkdB1O07PFzSXm4e+JN7slEIBHzY/reCyRgY5RLAkaOGhrqJAHeNBvAjMZYvHiR2W4+fvyUkRAknm/CR2jGOjGTi3vlIdKx5RsRVxt69xMnTtiwwpOnTtpIFsaBX9HiA9u27dACuMfC1GnTwg6ttQiBU6kx45Lj/JaXvEd6/Jh+nilb90EgEfN9ABrzl2FbkXO5VsyorVkSXnvttdCkIV0nT2pqsPSkrKzNzDUmRKBLvTeJjUU0yP/gn3nk4kjckCekfLilNXyikSu3NdTw6fUb4xBDrTqyXatW75YNkhkzpodvfvN1G24IIlSCPqrFz/FLLiEwUgQG/2JHGmO6r+gQcJJgbPOyxnrThe7WslMsdcS45jmy5cwyVBg5oglu0qPl4t6kVnQZvUeCXGLNB8nnE0mXCqpF45ObZQVukibkLF+23FYfb5Xf7t27NVTuali9ZnXYtGmjJupMz+EUydlbKflnpOOEwEgQSJ1/I0FtjN4DcVRVTZY50PXhb/7mP9pIjWdkU4NZa0c1Q3D79i+l2lhsnYH5LDqx5/0ep+NukfKlS5c0SuWgFre9ZHjYqAuN+W5SJx/EXFFRrnHgm8LadWtM3QGp+5JmjxMWKS/FgUCSmIvjPTy0VJSXV6gjEKNGCyUZNgfsOsydO1sdWw3hisxTYnhnIOnyoSVwlB6Ul2bz+Wtv77ChcPukyjkvuxcYgKIjD1vKe/fts0kj06ZNCV/72gtagSSSMkl83CurUXoNKdohIpCIeYhAjfVgeSKZPm16+J3vfTd0dnSF7dt22rjbOq2wwZjnz7/YbuNxyW+UCh8vXSl5cnf7dnto1YoiLIaKWmf9+qdliGi+mU1lEVtsjCxrbAivv/5aWLF8md2GLjmOtIijLTyuwff9l4H6YXhv8MDpSkLAEEjE/Jh/CH3SIU3vmFlIukrDv5Y1NkoiPGTTtlmGaunSpQVSYpQBLk9k8e6x++t5yeuTW9TRN3XKlLBq5UpbVZ1p1Xv27LMRGCtXLFNn6SuyMVJtmc5XbkNDQdbftrwZ9sj6m7+H5p/sCW9u+Wk4NLQIUqgnFIFEzE/Qi3digmAwvsPSU6Whx8bk9vR0ym7GfDMJ2tp61AiacE4ofm+xw+XpHSydTK1mMgjki9pmrjo+V61aZYaHtmsWHzP5WJtv8+bnwosvviDpWLMqTZ88UIxxqN1AV6Jfc9j3cQir1eHqrr5xdQgf7wvN7pH2CYEBEEjEPAAoj5MX5BolPcTlO9USUyQpvvTSS+HChfPhiFba4LxWUnOZhtbtkP2HG1rZuegJ+T7c6ETd09tjlvZOnTwddu7cFU7JZGdjQ0NYvGix6ZaZRML45KrJk8LXpU9e/9RTfZb3rJT0qUDu/D4G8yfUG+Hf/WRzeOev+iTk997FIty/S/aT7wQxnfVDIFmX6wfIk3LqhMUQsV//+h/DqTNnwisvv2z6ZoirpeWwrbr94otbDBLxu9ydxF4UWGW8KFt6WTr70uiVCleoZJqams2QE7r0hQsXhAnjx2kiySl18h3Q9PTrYeWq5SLktWGadPDkVepkuTzx9sXNlSE5rce3peHtIME5c1ptpPdniZgdjrQfEIEkMQ8Iy+Ph6eTre8+VExbn2Mlg+Nx1jc7YpwVbkZrr6molKQfZ0dhqulbC5e/hvFhcr7iSLe88v+zRJ18T6bZIl4zlt4kTJ5lRJ8iZkRg7v9wVrmioXKPUDS++sCVbRZyln2KewSGSc56g80+717E6/hp+Hn7QjAnWuJmOuSR1AN4LtXTtXlOiEjpPBAIQBvrmGTJ09N9+9avQJpUGK2uvXLlKi4mO09jmnUZuTixFCUpkT1PZkE4ce7cKByGfOXMuPPXUOhkhWiJb1GfCNo0+OXjwUJg4aVL4hjr4vv71FzLVhat+HkBODzWFPf2iqf/2D8Jm+Tal3r9+yKTTPAJJYs6j8Zge9+mZYwajzlkrO2vK8WFZSPtEho32apWTTz/5OHzx+eehp7tXZkEXhZkzqzXB4rCt1OFDOoqNoPPCspGyeJn9ba3Bd/ToURsKx+QRTJ2yBuKFSxfDF9u/sGnX8+bOCa++/HV1/q00FU5/ybgPN4rJCIqKjB6tlhLj7b/uGyB36P/7uXxWh1x/4GP61aVsfRUEko75q6BX5PcaUSmNTsR+jtGdU6dOGQn/8pe/DDu37wjHjhwNL3/jVduwoobEfOzYsfD551+YbYjf+Z3vhIlq/rvzOP38Ue49X6iDUV1cld4cfTLjkKfL2NBSjdEmDOY7GYlxq/1WqK2pDc9sWB+mTZ9+l+b8zry5CiNfBQwnt4xjfjO8U7gl6ZgLUKSDQRFIU7IHhWbsX7iDYDJ+gbiwMfy59Mc//l9+HK7JYhoTJlZpfcA/+P73wxXZg8A06HIZN2J2YJvWBzymBUWPHDkWGNeLuyPeRwxTgZSVji5VOJeVH0iZadQN9fUam10jIu6Is/gk/ZPXV17+WlhaWytVTYW4vFfjl+8nDQPeSIn5jfAzVQo/e8Q4pcePLQTu90WOrdyk1N6BQJ608hcgVsxW1tTWmI6VIXJ/+q/+LHz7u98JT61bZyZCmY5cKeKqqakJVVOnatzv3nBJ9olxFi9c5cKk+d79Qzjb7r5kPkOI4q47C3FmcRMAPxZIPSYJGX3yxYsXtfTTStm8WKSln86HHbKd3Cbpf7oMD33txS3q6GsIFZUsQtsbyu5LyhByKibgnNzDQ6DsL+Ue3uPSkx4mAhCWS7dIhrjuru5w+sxp07+uX7/epMxNm54Pf/zWHytskNpiRujt6Q1ffPGF2Y2YVV1tuugjmrrcLhVAjQweIXXmnT8j73fHsSKG3gZz97o22D34G0nrZvTJTVre6UtZyEPdsmxZoyqeqdbJx4SRI1Jf1Nct1fjkF0XWiwuYkO77pv1eCUjXEgKjhEBSZYwSsMUQLcSVd5xfvXol/OY3vzELaps3b5Z9iPXhxvUb6CeMpDCgj0H9AwcOmE3iN974ZqjRSIaTJ05qeNnBUK9JGXVSA+RJP/8MP/Zn217P9ZQ4ERopeuB77D0evy8flGnjFy5cCMdPnpJE3BbmaZWWeqkvuro7bRVrJoz09nbLTOezYe3atRoKN83STcXi8ebjS8cJgWJB4E7Rp1hS9USm405jN1t+OvB4qvd+CIH2GwfLJIaMWEtKtgS/1ckMEmK7rSWlMIh/9fIVTTnebCMRakWy2BhGai3TUkgsjcTadWvk19raYrPhZmjCxdKltZoRWGGz5jpFiPeWgQd/gV+FEP1e9pDyGU2K+WLbdiPlBlUYa7XoLKuMYJhp9+69oauzU6qLF8NLL33dOjCtMhBO3O/Hg6c0XUkIPDoEksT86LDve3I2O2z1L0Wgb/R59z869NMt4c2+7v3sMpMY3g7c+xH3vvfDUNLww9Co2WXfykiIgAyNO3CAacdHwrfe+JZWNCmPUqPC6MDUE0i1EDQG9deuXWPExwSMeVrpZJ6Gmp09ey6c03bwYLM6BxssDuLOOydPRn5c06SVmzdu2nO6uruM9Ks0gWWqdNYeziuPfBz5Y78ew8cKBktwJ46fDG1aVQT9L1IyKpjjOsemMrYwFi1aIMNEKzRZZmkhOuLy5xY800FCoAgRSMRcBC/lvb9+OwRZIPvZfUi54ec/0Hp9Pwh/1LCvL9U2ieGt8GO/943fDW+Fv7IJDN+qi8EgIzrE3n//g/C6lkRi/Tr8StSk14GpMVzVwB0Q2CRNvNi4cWP4f/7fd8NeLUi6YeMG091evnxRU7h/HWZVz7AFXlFSDCQ9d0pabW1pDe//9reStMtlgyOqP9Bx19XXmeEgJ92+zNz7qEe67xs3tWZh02EbdVE9a1Z4avlypTcIl0M2jbyrs1uVympJ/Ks0tXqaReiE7KQ83OfeO1XpakLgwSOQVBkPHtNhxvheePedzSH8vKHQvM6rIywyScFGyh/9KNQPM3YkV1Z7bjp40IhquYgMh54V6bi/y5PWzJkzRMYNYeeuL01FMHv2LCPj67I7cUBSM3EjY0N4/UkPlQjk/BuR+CF1zKFqmFU9K2z97LPwv7/zv4Vz587Zo/2+/unwc4+buM6cwSrc/nBS+/kLF1icDP07eLBJKpr9oaOz3Wb3YRkuT8oeV37v8eb90nFCoFgQSMT8qN+ESbyaC/bjSG4QRvNPQni7IdMVo5p4M4RfDkbKNrvsnfCuTy57711NZogzy4gLFcY+DX2DvL6j4XCRTJXpTESGiG2TV56o8WNl7dWrV4WZ1TNtzTsN1wi1tbVhgdYJxI4zM+ry9/Qnu46O9lAugn5u03O26CuSMmqMPXv3hNOnT0fklcb7ORZIPaKOvM+2fmH31WhkRX1DvZ6vWXxfbLOhfCyQ+sKWzZLy15vKhDjzlUwhn4jXySUEihyBRMxF8YI2h5UNfQmp/9GPpY74OOyT0d5DTVhbeCe86QRqlsrieewg1AQGMfmeNzOCfXOPtCLRehlEifW4PVJFLF+x3PSwkYQjOfUnUk+BkxhSLzaaX1BHIRNNjrbJLGZVVVi0cJFJw59r+jZ6ZHfEh2MSyy3pgZtVGSDpYoD//Pnz4ahmF57Tfu2atVqhe3687f9v7z6g7Krqf4EfQJoELHQIIZESiQhSAqh0UJp0VCxgQx+oyFrqwsrz/ZciS5SHgApSlI6oKEhRVBBEukqPEBJCKKEjhCo84e3PDjs5c3Nncu/MJDN37m+vNXPuPfeUfX777O/+7e+v7B5A6fz0l67jWq7zXOKo703nTZkyNVMWjJJvTtF6DyQvjEmT7qieTClLV0t15Ar3thStWMC4bGfdZO7/5Rnn/iX2hASGXgLBMQ91G7yWTwEIN+Mp1jzk6urVQ2qVzIbCSdU366kj1zykurrHQbOO57kgrJrWvNlmm2WwY/SbXfpQVgEXcBQVt0LicrmaXf23a6rd99g9R9Q98fhj1S233J6XYlp//fXyJesY++yzzyTe9+7qpVSHJ5Jm/WDimm9OSzjxL959t92z54eTZp2jInMGC/uTcp7XIJyUUnI+9fRTmUKR1N6z3JVomUkpf/IiiyxUTZy4cbVOGnRGpTzKub548yghgQ6XQLzFQ96AO1V7fCbpxLVk6lOO+U7SkT9T7VEMev2sI26ZVguUF1988axNFq3WJVvVGqUClVT+wQcfqO5JFMaoUUsmSmNM0sCXzcmAaLX14rpPJGPjtOQBsm5yYVvmDctkV737UlKhV5LxTzIh9ajXZdb3XKucFe7+B5JGnHjjB2c8mMF/dKJPeGOgZPhY809eN608snEySgJl92wMfKnXKT6HBDpJAjX1qZOqPbLqutNPX60u+V8LVWstlLwzchmcRDc44MeS69j45IWhAK/+FFr2OuusU22zzdYpZ/OkasyYMdXyaSXp0WlF6fsS93vrrbclgNwwhTkvli7/aqYvHrj/geqJtOr0AZ/+dPaZFuCB1jjh+OOrTTbZpNpx551eA+biwjZLfX8xacTTUp4L/tZLLvn6bMyTM1q+DnSG1Vas8r1RyiFtncJ+PlJ/xBDnhAQWmAQCmBeYqPu+EXBO7MS8S6Yt5n2YI+5JC4uukXx8RfPRSFvVkOtXL+cw2uGGuaXdnsB50002zWHO/37iyUxxAEsrbXNpw2szDi6TzgHo7o2vXmrUqOqV9PnZ556ddYs0TszSmmfxyTRi0XqTEwXyhje8MV/PoACUeV288MLzKSR8TJ4BLJfc9dAf/R1s6s8Yn0MCw00CAczDrUUGsT5Tp0yptt52m+xd4bLtglg5PoNnUmi5z62/3vrVX6+6qlpl5VUSMK+RKJLFUqDH/TmNKCMfrZih8KaUSnR00mgNCjlsOmnQ/0zJhBghN9hoo1lOIemaaTjK5zz88KM5QOSZlN1upZVWzlo5oJY86cEHH0x0xag0MKyb+WQ+1s6MEhIYqRIIYO7glp2lbc4B3PKdgUwSopdefinTGLwbAOSAStJul0zuc+PHr1n9664708om/0xa8MLVY088lgyEVfbWcP/nn38uJ0h6Lm1FC/II4WvMPU5Gu912361aIwE4QFb+m4yDD86YkVanviV9WyhHHOK0H0kUDOpieko3uszSsxZIHZ18l8szLjQ7K1wB6Dk0zZxj5uzLN4t/IYEOkUAkyu+QhlLNRsAp3+uPYN/MmTNzdN5/kv/vvh/4QKYPUAkDKa77anKV+O8rKaLv3vur3//+D4m/frx6KQ0CK6+8cvX2xCFPTDyzcs8992T3OIOB8G7eIXyipRddbtll8zGu93yK4rOCykNJW8YVjx07NkUcjkog/kh1R6YuUkL7RF2MT8t9rJ6y2inO62nkA8z+cNWOmFOKxj9nT3wKCXSGBEJj7ox2alrLAjzAqhSfZqZEPoJKDjrooLy7J5DNDfDl3Kbb1y6d75W01NcttGg1JvkxMwT+6dI/5dwUqydAZaxbYflZyY/WTyA967TEAeeLpm+QN/29kn5ZKH397yuvraKSKI+xq4/LYdRokNtvn5TTdP4nfbZG38ZplZHFs1FxVu3KMzet62s7Wzmmr/Pjt5DAUEsggHmoW6CF+7+GjXMfmQC5/hvKQiCHaLj7kxHt7smTq3UmTMgrXwPvgQIWmE36ataC35a44iWTC96zyVWOp8QKK6yYVw5ZPoVtL58iBWmwNFmZNLIqC5eTc6a9IvlmPPRwCuuenAJRXqyWT37SEt3fmcDdSimjUhDLZinicK01E4edQHluLbkuClf0l/7P2uTP8S8k0MkSCGDu5NZT94TMrwKkBLwAj9Ht//7gBxUaQwrMw771v9P6fRMyuBVgLtuWHr0B7Oacu0g1OmnO2267TaI1LsmZ5iQYuvnmW9IqKOtlX2THojCWXHKJvF24WiTTGrLASdcpavDeafekcxfJXhjyZ8j9LGhkpbRStwKUB0rDtPSccVBIYBhJIIB5GDVG21WhIr4GygCMxvzkk09Ut916ayXz2vi3js/asv1zALXtu8x1QrmWoJVxCUil3JyRDHgSFU2efHceEBZddBa3TONlzBNUsnTyrHgmRQROmzY9A+5ySbO+O0Xq3ZxWGVlttTE5L8emm2ycNWjPo5R7zVWJ2BESGMESCGDugMYtSmudtlDt2eDlc/oDYoslsEQFMLptucWWOQhD4qIBe2W4YUNxP0n1N9988+rcX/wy+TNfnbTjJbNRb+OJm1SPpkT2M2c+Xj3576er6ckXWZg2457Qan7RkyffmbTu0Sm3c6JFXr94AuZ18363aeTFG24dX0MCI1oCAcwd1Lx9aY9+E4whOdD4lNrzpcTZ8hlW+jqv1cefPQjQ0l8r9nGFkzz/pZdezsElo0YtndcRfOTRhxMwP5yzy6208qqJ+34spx8VrWegkLR/pZVWTIEqE3Oie5cs9Szbcp/YhgS6TQIBzB3Q4qgIHgsFHBurnLXltNNxgjossTT1nqnVJptumnlnx3NZ62+hvdY17lIPnPbUqdNyNOBaaeVpK1Enf4vqDcukhEdX/S3xyovnOt2b9q+SgkY22nDD5Fv9csp3cWdeqkpGOEErWAvXhPlAuVw/ALq/LRbndboEApg7oAX5+95www0ZZIEVnbWAcak+cOOC9lwKh34qLbiaIqOrK1NGN6hXBzjH1ZTecnqfW0nnN0ig2hOcX8mUxYyHHkoa+jrV2HFjqzNPPyMZ9J6t1n7rhJQF7sVstHshrTP4Qqo/Hvq+FBFoLb4JE8ZXO+28Y7VEol3Ub+GFFkkGTE/Us8wCa08bJSTQXRIIYB7m7Q2caMsi51544YU5K4+8BrB1OMufEyK/+92bJ+B+NRvkPN5AoY22TRvP14fsrxURhv9JVAY/5pnJw0LSoTeljHPX33BjtcRii1RPpSRKq646OnHHb0+/z8xrCI4bNy5ni3s2AXgG5rlGCfkvZmnQ5T6xDQl0mwQCmDugxRnK9t133yGrada4ewCoKMDEL6cVShZOEYVLpuxv0xNdsVrKNjdh3QnV6WecXj368BM5nwZvi8nJX/mRxx7Jvs4MfAaYyXdNqZZLIC6eO3s797j+LEpjyB44bhwSGGIJRD7mIW6AVm5fqIjCvTY7p6/fmh3fzr58bZpyTVtmwEOxoCBw0C+++J+UCyPlbV7zLdWuu+ycl5NaPYVT86VeeZUVq1122SnzyThlQTC33XZ7MhL2n/dup/5xbEig0yQQGnOHtNiQuY+9xlzQaucUBjrGRr7Tr2bD4quJ7nj5vy9nd7ntt9u22n677fKagE8//UzyvlghRfTdm0B6ZsqV8cacFvTFlMKzBGzPuW58CgmEBEggNOZ4D/qWAII6/dHai+buBAPFUonCkB1ORjnRe5NTCLgcHc8ng5+czAJQll3uTSkt6AM5mb50nrPg/ZXMS5dlrurX7bsy8WtIoDskEBrzMG/n4QRahS6xVS/BJLwvZJkbtfQySZILp1Drm6vF0/7/l1zpFk5pQV9+Oa07mLwxHn7k0WrFBMxTpkzL3hqbbrpJBnziL9cb5k0R1QsJLDAJRNrPBSbqkXsjieyPOuqo6pJLLqmOOOKIas899+zxsJdffnl14IEHphwYE6tvfvObeVWTHgfEl5BASKCHBILK6CGO+BISCAmEBIZeAgHMQ98GUYOQQEggJNBDAgHMPcQRX0ICIYGQwNBLIIB56NsgahASCAmEBHpIIIC5hzjiS0ggJBASGHoJBDAPfRtEDUICIYGQQA8JBDD3EEd8CQmEBEICQy+BAOahb4OoQUggJBAS6CGBAOYe4ogvIYGQQEhg6CUQwDz0bRA1CAmEBEICPSQQwNxDHPElJBASCAkMvQQCmIe+DaIGIYGQQEighwQCmHuII76EBEICIYGhl0AA8yC3gXXwLJ0UJSRQJGCll4GsUl6uE9vukUDkYx6ktrZY6nXXXVfdfPPNefHUsWmB0p133jktRrrqIN0hLtNpErjtttuqa6+9Nq/essQSS1SbbbZZtcUWW+Q81p32LFHfBSuBAOZBkPf06dOrs88+uzrnnHOqO++8s7J46nPPPVfdcccd1aGHHlqtssoqg3CXuESnSIB2fP311+d34vTTT69en1Z6eSktHLDWWmtVn/jEJ6qPfOQj1TLLWFggSkiguQQCmJvLpeW9M2fOrM4666zq5JNPrixQuuuuu1ZvfvObc8c899xzs3b0+c9/PjTnliXa+Qfedddd1SmnnFJdccUVGYzf+c53Vk899VT+fvjhh1dvetObqg9+8IM9lurq/KeOJxhMCQQwD0CagPiyyy6rrNBheaRDDjmkOuCAAzJAW83jpJNOyh10tdVWqz772c8O4E5xaqdI4N///nd18cUXV1deeWW1xhprVEceeWS15pprVg899FDlPTjttNPyn30bbbRRgHOnNOwCrmcA8wAEPm3atAy+VoA2Rd1vv/1mT1F32223yu+PP/54dfXVV1e0pne84x3REQcg70449fzzz6/OOOOMPEP66Ec/Wr3tbW+rFltssWrppZeu9tlnn2rGjBmZ7vrVr35VLbvsstW4ceM64bGijgtYAuGV0U+Bv/zyy5mumDJlSl7Dbscdd6yWX3752VfTEd///vdXG2+8cfXnP/+5OvPMM7NWPfuA+DDiJPDoo49WN954Y4Xeete73lUZnIFyKd6F/fffv3riiScqwMxgHCUk0EwCAczNpNLCvnvuuae68MILswa89dZbV2uvvfZcZ40fPz5b4l/3utdVkyZNqqZOnTrXMbFj5EjghhtuyF45q6++erX99ttnLrnx6WjQm2++ebX44ovngf3pp59uPCS+hwTSevNR+iUBHhc33XRTno6iKd74xjc2vQ4XqS233LK67777Mvf4yiuvND0udna2BHhdGHwfeOCBPEgD32aFYdgq4qNHj87vA3e6KCGBRgkEMDdKpIXvpqLc4rg8vfvd7848Ym+nrbfeepU/HfaKZKU33Y0y8iTAzsAbg//6xIkTK7OkZoWm7H1YccUVszvlrbfe2uyw2NflEghg7scLwKjHT1XZbrvtst9yb5dZeOGFM3Czwj/zzDPZ+NPbsbG/MyUg2lNwEc+LCRMmVKit3oDZEwJvfPMKK6yQ3wcDfZSQQF0CAcx1abT4mUuUjqi8/e1vn+dZNCQdUeABTdu0N8rIkYD2vOWWW3LbvuUtb6lwzH0Vg/U666yTB/Siafd1fPzWfRIIYG6zzYErvnjUqFEZlHWyeRXeGgyBzz77bMWLg9U+ysiRAB92NAa6ihYs/HpeZcMNN8weGwZqmnaUkEBdAvNGlfrR8TlHcPHIQE3QhFvphEsttVQ+3nk07dCYR9aL9OCDD1Yvvvhi5pZXWmmllh6OfYIr3eTJkyvnh1G4JbF1zUEBzG02Ne1G0Ag/ZbkPWs15QMN2LK1KxGCUkSMB4Grm9Na3vrVqFZhp2VwsGQEBs9wqUUICRQIBzEUSLW5xgo899ljWlMeMGVMtssgiLZ0JmFnrl1tuuco1oowcCQgUMQtCYwi7bqUwDqIzNthgg0xtPfnkk62cFsd0iQQCmNtsaNqNQBH0RDtZ42jYOi3qg9bcrRYbz2IAAB9ASURBVGWhhRYaUY8uOdHdd9+dwZUtQZh1KwUwm3E5h+1BqHaUkECRQABzkUSLWzyxQAIAK1ig1QLIBaHQsE1bu5VTHGnATNO95pprqvvvv7/XIKPe3hHpYfHMtG3XCYqrN0l13/4A5jbbnJGHZ8aSSy7ZVkIi/HKJDqRljaRVTtoB23aObbNphuRw7wL/dOAqeKSdYnCXq9lAzZfZtaKEBEgggLnN94DRBsjKqdtOoR3hIJ0v+g9PHaXzJSCZlVmQd8Jg3U7xTjgPKDMod+ssqh2ZdcuxAcxttrTpJgoDZ9xOoSnSjmxp3eEy1470hu+x2pFHhoG6FdfJ+pMAZRQXjZvWbNCOEhIggQDmNt8DWg1ecNFFF23zzGo29QGcR9qUvm1hjJATvA/akrbc7jvBAOgcg33QGCPkhRikxwhgblOQOqHpaxhq2hTcCD3c+0DTBaztvhPOA+w07hioR+gL0s/Hap4Cq58X64bTaDly6HJxardIdqMz0rhdJ0rnS6BovN4HFFU7xTnPP/98pjPa5afbuU8c23kSCI25zTZj6OHa9Mgjj7R1JjAvK1bgI4uHRlsXiYOHnQTwysBZ+7abA0UyLB46fJlFDMZgPeyad8gqFMDcpuh1IsCqE7YTRssLQzg3jdk1WOSjdL4ERHRK9ckg3O5qJLwxvEeMgIKVApg7/30YrCcIYG5TkmV1Y6AsqKDVwh3KenC0JKsnt5KVrtVrx3FDJwEh9kKruUJyg9S+rRR2ir/97W85VSgPn3gnWpFa9xwTwNxmW6+//vo5lJZ29Pe//71lrRn9cdttt2WfVzl7o4wMCaAxaMy2Fk+Ql7mVwuhnjUDnFCqjlfPimO6QQABzm+0sCbosYvLoXpGWimolgo92bQkhU1aJ9cPQ06bQh/nhFkEQ9XfZZZflvMytVNcMSt4VlJacGXzco4QEigQCmIskWtwCVSsdc2+6/fbb87pt8+Ka//GPf2Qag2ZkKaqRYvjDl0epMigbcMeNG5cH7Hmt48fgd9FFF2V+eYsttsgDfcgxJFCXQPhs1aXR4mca8/vf//7qggsuqE466aTqX//6V56Omp7WC/Dm33rppZdWl19+ebXVVltVVs1uN6dC/ZrD6XPxvW0ny95wqv9g1cVg/YEPfCBniLvyyitzm1uklzGvcfBiW2AE/uUvf1lNnz692muvvXLqz8GqS1xnZEgggLkf7bjqqqtWuOZf/epX1V/+8pfc0XTOZsBsH+BmJNpmm22qlVdeuR93jFOGswSArdVs2A5+85vfZH9mWQiVRmA2mPFflirUOfjpkTJQD+c26rS6BTD3s8V0JgYfvDENmrtUY1itTimAoKyCzM0uvDH6KfBhfpr3AUVlIPYuAF0gXAdm3/3Oe4Px2HHc7aKEBBolEMDcKJEWvwu/pSWPHj26+tCHPpRXJxHZVy+OuTetVsJAiI9uBO76sfG58yUAdBnz3vGOd1Sf//zn86BdB2aDsuhAbnKMf96HeCc6v93nxxMEMPdTqjocDYjGY2USGlOzKSktilat1DtpP28bpw1zCYgM9U5Yy69ZwIjfxo4dOzt50TB/nKjeEEkgvDIGKHhg21fyGlRGX78P8PZx+jCUwLzeCVoy7TpKSKA3CQQw9yaZQdofWvIgCTIuExLoIgkEMHdRYy+IR0XvNJZm+xqPie8hgZDAHAkEMM+RRXzqpwRK1jynN5ui17lWHGyUkEBIoG8JBDD3LZ+u+HWgdAu/XEl5FN4G/krhFlaAG2hzHRSKHCUkEBLoXQLhldG7bEbsL1KQCnCw3X333atjjjkm5wUuAG0NurvuuquaPHlyznq2zjrrZDcw7l5+E+0IcEWtCU8HzDfddFMG4D/+8Y/V1KlTZ69/xz3sgQceyL67Am1OPfXU7Gbo2s4ZP358di8rayiq01VXXZVzXoueE7RhYQF1o21zUSw+w/JLyGMsHHqkhLmP2JcuHqwtCQQwtyWuzj5YKPCUKVNyePif//znSg4PXiMiGAGxqESJ32m2NGAUBO0WWBae2G8iH4Vhu9Z9992Xj+fDbR/AnzZt2mxBAVReKX5zzWuvvTYH2fgMjAVbiJ4sgTeu73i/SRTlHn7jyaAugjLURR5jKTYF9+yzzz7VtttumwcR+UiihAQ6XQIBzJ3egi3Un9b6z3/+szrzzDMzMAJfgLnJJpvkswEwLVRCHdoncFQAouPK97wz/Ss8sf3+AKVjbX13Tr2U3+vXaravnNN4rTJAGEBc/6Mf/WgeLAwAVpK58MILq/POO6/aeeedcw4TUXdRQgKdLIEA5k5uvRbqjnr43e9+lykE2icN9ROf+ES14447ZhrCJWiZ6AOBMgcddFALV13wh1x88cXVr3/966xJf+ELX8haNS1aTuM//OEPOUcFcKZVe77NN998tpa/4GsbdwwJDEwCAcwDk9+wPhso05J/9rOfZaPb+973vjzlt+KGvNKl+C4rGtBGSTSLYCzHDsVWWlWAi97YYIMNevDJu+66a6YzUBk//vGPqz/96U+Z5sCBe94oIYFOlEAAcye2Wot1/v3vf1+ddtpp2ZBm+i815brrrjvX2e9617syz4xzpoGiNIZTYTQ855xzMs/8nve8Z66qSTTvD8Vyyimn5FVB0B+Weyp0zVwnxY6QwDCWQLjLDePGGUjVUBNnn3121h4lWTr44IObgrJ70Jh5RzAOOm9eif8HUq92z2UkxI/fcccd2YAonzVtuFnZY489qq985Ss5labVZX7xi19k42SzY2NfSGA4SyCAeTi3Tj/rBmCBEq8G2q+k/nVvBUY4fPNf//rXfAduZ0DNQrOogPPPP7+fdx780wCs+vC+UEdeGSeccEJeAcQailz16gW3bCDiYXLNNdfk43ieRAkJdJIEApg7qbVaqCuvBeBqoVhgvNNOO+Wk/uVUvwO7I444ojrggAPycab9u+22W7Xlllvm9KRW1+BnPNQpKXHe6kKLR8Hgkw0iDIEHHnhg9cUvfjEDLy69Xj74wQ9WX/7yl7PnBiqHX3WUkEAnSSCAuZNaq4W64mPPPffcTEdwH6NBloIW4DN8+umnZ22SbzH/ZQXgMZYBNUB2yCGHtLzic7n+YG7vv//+6rDDDqv4W/MgoQVLpal4rjXWWCPXE/AycNYXxRWEsummm1bvfe97s2dGWcZpMOsX1woJzE8JBDDPT+ku4GvjhiVhB7Y0TFN/S1qVwrOBh4boPP7KX//617OLXPndOXvvvXc+V1Tecccdl8GZlr0gi4CWH/3oR7meABgVg1su5VOf+lR1/PHH56hFswNudLxK6ulVRQwydiqiDW+88cZyemxDAsNeAuGVMeybqPUK0jJN87m8WY0bOJXy0ksvZU0a72qFjY985CPV9ttvn8OlyzGCPnhoOB/IXXbZZZmL/uxnP5uj64RGz8+C+wa0BoSbb745L8+07777VjvssENOLF/ujaLxt//+++cQcVz5ySefnAcZIeKKIBUeGdZZ/OlPf5qfhRbNVztKSGC4SyCAebi3UIv1A6TCnS0Cuvbaa+epfN0fGWeMFuBSRpMGdsBLeHW9OIdLGi258Lk0TomJ+BBvtNFGeX/9nMH4zFWPVotqsaI4vvtjH/tYplfUo1lRH94mkiQVQ9+YMWOyv7Pjl1pqqWrPPffMrnauucsuuwQwNxNk7Bt2EghgHnZN0r8KATYUhaQ+pvD1AJLp06dn1zk8LN5VciBh2UoJr67f1T48rvUM+Qe77rHHHpsjBQEmrdpvlsyyxl1/CtrlqaeeyoBvQGGQ9Ax8jxn2GPrQF6Wevd2Dm59cGbh13hsTJ07MQTTleJ4mtObrr78+GxGBeeNgVI6NbUhguEgggLmfLWHaX0r9c9lXtkCu/F625bfB3OKEf/vb32YKA0VRB0wLwgrLBnK0ZdniWilyTowbNy6DMIqBG55AjxNPPDEbFddff/18LS5sDG40VCuHuw/NGzWBQkGN8PDg2sZ1DShz5bNA7XXXXZcNd1YQB6rvfOc7M6dsgGmluBcApylLoOR6rlOy1bkuzVvCI/7QBgFAPj9Kq+3rOH/kY9YSJSTQKIEA5kaJtPG9dMS+3MqK4awk5mnj8i0fylgGlHgt4I9ps6UAQgDIpQzQAtNS73JMX1sAxyOCBg3U5KW46KKLKlGF6AFauOuhTxjqDAgMjugHwCOBEs1YNjh0yqRJkzJ/7XeyITsaOA0ZveL83qiL3upJK8aDH3XUUZmuwSXj2BV1890xP//5z7NWPr+AmddLKc1mIuW3sg1QLpKIbaMEApiTRGh0AIZxa16g5XdAI6sZ0AF4OE7UQd0rwHFAxxSbpuizJPEMdKbrBbAbG6T+3fV03r6ACvihAfgtC8LgHscvuRRBGMCUBoo7Lppk+b2VLe1XneVuRgUI7+ZSx/uDpu7eci7joWmmnrXUwXP6Q3uoq98KBz42rRZtsOC2BzhbAbNm9XUvdIU80eqibnJnlLakzePGeaz47ZZbbunh293smtoW0JbnaHaMfeUeZhPeCc/nnTBY0tYVz61oS+8aWdna77gyuJXj8sFN/pGjY123v7JqctnYNQwlMKcHD8PKLagq4VC5Z+nAXngdACjaNis6EBASPadj/c///E+exteBuZxnKs8g5zg0AE8H0/1m19bJAYEO7FoAi28xbbW3UlJ64mcZt4RX1zUxBjVeCwCVZtoXyPd2j/p+lIE/dIGBxqADLNTXllwaI+08E7oDOBv8/I0aNSp/t28wiusJpkGT4JN5ZJg9lOLZGQgZQLUD7d45zQpA5o7nvfBOKNoL6DYrZRAG+p4f7SNPtXZo1s5khsrxHplJiNLsDZRdg/zcw2cujWwIrdJRzeob+4a/BAKYUxvRQICFvL46kuk0bhV/qZM26zQ6Cy3M8XI30BSbFR2KtilEGEgD6MbrlU7nfDkhAJt7m94Dwb4KeoBxT31xrUVLc458xWgM+4RmO2awCnl5puFSaPUGMTMUgxEA5qtdNEszmgkTJlRnnHFG9vyQOrQ3YNYeZGbg9acYJLWFAajZAOycZZdddnY706B7KwDWwKB4J2bMmDHXoa5nAPdueSYFRWSGMViD2Vw3jR3DRgIBzKkpTP8tTaQTX5FoAR2Mlkrrsq8RSAe79XRC90ANiGQDpuq03377ZTDp6360YUYtnhaAHGCWYlpPS0QdcBur/1aOGSlbMuRBAowlb7r66qurz3zmMz1AjLaJY0c50KrJywDbWOxjMDQDQI8Y/MiQT3UB5/n9TnjvDNB4ffX1WRvix8OrpLHFRt73ud/KkfeMLT2RTo07xf3xpcUb20fLWhCFdgtgaUg6Hj5XKDLtqreCyxSIQeOigRUtzPE0MQB/b/LIYPwCSN1QcNVoGzMT4IzeKAVoc/dDU/DeYGxsBsyOB/RA0PuA5iJjsyNUUQkNL9edX1s5QszEzJ4oCUFhzC9JD7/rLvJ/Uhl+1VrwNdJBAZstrlBeYnyhKSwNurcOPNCaAlD3+/a3v51d2nCO8lR87nOf6zNhvek0Y5ZBhGGPhs/4pxTt+4ILLsidmoucKXBfID/Q5xgu52sr8rzkkkvybGerrbbKMlA/AMfwxq2QjNA79ax7jc/A/a/QNbfeemvWsg2GogfRCYUmaTxvoN9p6nyyRSziq93v6KOPnj2DG+j14/zhL4EA5lobAV8BCzQinhe4Svyezgz8dPrBLIyCEgrpdKbL7iErmlwQ8zLS0ehPTRF56A/gY5pbOFMGQYl70Bw05Q9/+MODXvfBlMNgXouxjlwBKd6ZponjL8XgRJvWvgZdg1lfgy6KCzcPpHlzaCc0CAMeA9xg00O8aATzMAgaYNgNvva1r+UtzjlKd0gggLmhnXVSFIbObBpJY+EjTHtm8ddBddaBFC5zNDqdT+AHygHf+clPfjJTGO4xr8K49MMf/jAb/mjXptil0LjkLDYVli1OtF83aMvl+dEQEjbRboGvmVABNUa9J598MlNAZh3AdV4DLmMwAHctcpcwideFd4KsXXNeA2mpW7Mt7R0lRZO34Cw/cdo4YyYjJY+Sbmq/ZjLqtn3BMTdpcZ1Y9BzNGcfMFQ2AcnUrq30Ab/QAa/+8gJR2pSPTtgRYcJXCceKTaXSf/vSn87S67t7VpFqzd3Hbor2hPfCpjZ4btC65jCX0GYh/8OwbdtgHzy2C8Ac/+EH2tNl6661nAycNF9B973vfyzSQhVtbKcBXoA1w5o1z6aWXVt/97nfzjEQbCOrBYZuheG/6eicMCDR2Hh9mPAZm7wRO3LtnIMWNMwBH0qVWWmfkHRPA3Eeb6mg0JUY56TIBHi8H/q2s9DqhDG6MdbQunZ62phSrPa3KlJRLm84H5Pn06uAAAwVRN1D1UZ3ZP+nU+GValE5cz4tBq78ieZbYMnTxROi2gs4AzgDQAKYNCldMFvhhA5b2AIwG2FYpCbQRYAaYqCO+3DL6GQgB/sYbb5zfB1q6+2ij+jthUEWNMcqaOaHLzMjQJeqsLh//+Mfzdbqt3eJ550hgoQQgs8KS5uyLT00kwF0JwNJqaL2s9Ax3OibQ5e9cprM6oj8aMXAA4oBYYWyiddPogENfmlWTauRduGMGQp1cGDJwLgW3amUS4P2tb30rp/csv3XTVhvxpgC+8jlzfyvtg+I477zzcqCJQRVd0OpspS5Dgx95G6wN2mSuvdEdZkg47sJfA2geHs4B2GZcgB1lYXAvAUDsDIyUUbpbAqExt9j+OjUNmgaqAzIwmYqiN2hLOhktCiDrbDqkcGVcJ4MizRg465CmxUWLavH2sw/DaQpCcT4wqedcNjioE+BxH/Xt1oLeIR/GW7MLkYq0WUVYOiDE5xrk+ID3B5gNqgZYdJSBmiZsRoTb1+7amz2C7gNs+SPz9jFj4sKoTjRlbej96e870a1tPJKfO4C5zdbVeQCr6axpJ01ahwSEtDKGIsX+Y445JnOcNGRr6g2GexXg1flN102rx6Z8E6WYstPoaW2m1XWKoxzTLVtABzQFm8gVwrhagJkMzGIApFkQ7t/so2i37cpIuxqU/dHAGRe1hdwk3BgBOI0Z5QGYGZb5qBsQ7I8SEmiUQLwVjRJp4ztDDY1Ih6aF0aZxi/5oycATkA+mz6tpMsMhIOGHWwcTtArOkrERKLlvNxfaKDCmsZq90FhL0TYSH9FW8cxmIYNR2Bpc27thAPceeB/UpSzzBci9NwHKgyHxkXmNAOYBtivtVMe35T9cCj4ReIoWsx2MUqL53MfUu9HNi5ESKBff3W6fGgNIhlWDJrdH0ZX1IjUoo6CBDjgPRiltXt4J70Ep3hHFO1HfX36PbUigSCCAuUiiA7YMTLwMGA25Upmul1I8PhiPAE4xNpbfu3FLM+WnTGs105A7pD5IcmsrXisleVQ3yimeefhJIIB5+LVJrzXCT0pqYxqMQ65b7wELNzlFLmL8aZQqy0o6VJwyOoMXRSmAm0eLGQaXNdw9bTZKSGCoJRDAPNQt0OL9BZPQmFn7C49dTgUm/GIZBtEbDJFRZkmANw0DHC8NwIzuKQUPzEDHf5hsDWzooighgaGWQADzULdAi/enzXHRE9TCzapeaHs4UtN2Rr8oPSVgoGJ44zrHA6NwvY7CP/Ok4J1Bm+aOONCCX44SEhiIBAKYByK9dC4Dm47or5mxbTA6Kf9k+RkAhxBxPrCluL7f+Opyj+OC1WoUW7lGN2wNZtwWzSzqdIZnF91JbvzRBYsMpOCwGWd5XGgHdEmUkEC7EghgbldiDcebDgNk4NmobYn80jkHCs5Cd03BXY/GXA8v5oUBaAS9jE0+zd3su9zQND2+Ck/ndy5K0+om9bYy0MniJuucHBh8kPtbtDVw9k5wZWw2WPf32nFe90gggHmAbS14ADgDSBpXKTokvtcUGmjWvQHKMa1saV8iyfgooykEldQLbpR/Lp6UEavbfZfrsql/RlcUA6CAE+1VCjqDRk27FaCD1uhvwVFzhdP++G3vRillgLYNTbpIJbbNJBDA3EwqbezTqWlGwBd4lqLjcccCzjQwv/en0MR5YzDsiTbk+lUvDFq4U5oy4I6ghbp05nwGlAYvboQMqDj5ugcGbRo406RRQ/Kc9KdoJ3SJdtD+dWDWlgqvGsEnUUICvUkggLk3ybS4v3Q+frL1KTAKg5bG19j+etRZi5fOwCElpIQ8tC/RY+iMUnR0eXwBgQi2xvSf5bjYzpIA46icJTxcrPxSD/KQtlMwisHVgq3asz/FDEb2QQbGxgAgoK8dxybKqUQB9ucecc7Il0AA8wDbGBjSimitVhUphcbMqMSfmDdFf3xknSfXAwCxHiGqohSgDFzQJ/jTbk5YVGQyr61cFpIXAUj+4PjmUsx6zEZKCPfll1+eM8GV31vdAvaiLdOMS9GGFl4wwxIEFDObIpnYNpNAAHMzqbSxzxTZH62Y8aheaGG0ZoY7QFB306of19tn2pdVLXRoi7O6XinuJXWl9JIlU1n5Lba9S0CkH56eTOUVqYfRi6iUIlTgzk9+8pPM7fd+pbl/AfRmLzRitJPZVCnayUALmM186jlOyjGxDQkUCQQwF0n0c8uQQwujsdKYeVCUgnbAa+J/gSwtrNUixNp6gFJ4WmKoMWgEMHPt0uGBAC0syrwlAJhlmpMX2dJe9fwZJRiFS6K2bJZfo687aF/8NJpCyHydX0aNiM60D58dLo19STJ+C2Ae4DtAWxYejb8EpsCyrhnLAOd3mpSVj/HF8yoCRo477rhMf+jglq0v6USdS9uTS1h6Sb+LBIzSmgQAIpnxXpE7w4BZby/UE3mjoeRqJmdpXedV8MpmNwyKKCfgXop92h3Ym/XUNelyTGxDAnUJxGKsdWn08zPQ5Essab4pKs5XZjPFb/hEYMu7gqZGM6PhNk5n/SZQxCKrOjmKwnqArlfnJGllVuegkVvJBPCH+1XrjQcozUQYZIFlyaXsCuRsoJNPG/1UbAPajCbc2GYoLKD8/e9/Pxti99hjj8o6gtrXoK1IPGVQxjPLw2xgqBtx80HxLyRQk0AAc00Y/f1IC9NBaV+Mcvxl8YylFG8KPrK8LEyfgTAfaBwnL4GycvbRRx+dAYHGte+++1b77LNPjykxHvOcc87J7l6A2zFh4S+Sbm1L7jRjGrMVqbmukWUBS+CMb2ZYxUOjIMx4tC0vG23HnQ5nTKMuq5VrM6AsirCAshoZZAEzOsqyXwaCKCGBviQQa/71JZ02fuMba/09HZXb1ZFHHpn9VcslBDTwojjllFOyHy0NzD6dnLbLKGQfmkIHN522UjcQKUXwwmmnnZa1M/64VmmmLUdpXwLoC21x+OGHZ5Amy8ZFcfH4F154YXXiiSdmisIsiD86zZfmrG0Myrw80Bf77bdfjszUjqWYKVl7UbThwQcfXB122GHlp9iGBHqVQGjMvYqmvR9wlkCWRgxcga0pcUnNqQPTpIEuDdd02jpxtDEdm9sdA+Jee+1VffjDH87BIkWDUxNA8utf/7o66aSTsjbmOEYs143SvgRoxTxm2AS0GU0Y/2vZp1IArzbRZhbRBci0ZEEk2s/gKP/Ghz70oTyQOrZu8DNYA3yUCC1au9Y9a8p9YhsSaJRAaMyNEhnAd3SGKet3vvOdrAF/4xvfyO5Xjfwv/hKdwXiHyjDtpWUJSBAoUu/cpTo0Nxo517v999+/cu16zoxy3GBvSxhxfWo+2PcYqusBV+Huxx9/fN7usMMO1Ve/+tU8gDbWyaALkIvGrE1p0AC70WPGud6FY489tkJNWW3mS1/6Ul73sW4raLxHfA8JFAnEYqxFEoOwpQnL/auzA1LBITTdrbfeOmtn5RZAmBtdKwVw40HPPPPMbFziGsfAtCBAWf1GIiAXuQNJPs0l/4gZDr557733zuHZ9QGS9iyBVCtFrg3Rg7/73e8yTWJm4x4Byq1IL44hgaAyBvk9wBWb+pr28p4oQQw6vM5dpyf6ujVAxk8CeK5zOrvp8IEHHphX3YhO3pf0+vebzHJWsuapQZvWZnU3xXld1QxIe7MD4K95ZjAGMuAuqIF0XnWM3ztDAgHM86GdaM78mhmPdHKLfV5//fWz00Gy7psGN7peoTjwkmgOwQo691lnnZX5Tys6s+hbCilAeT40WrokOwGfZR4yQJoHDIBmdDXzwUM3ziC0meMkRRKJecIJJ2QXO0FHu+22W3Z3DL/l+dNeI/mqwTHPx9bldcEar7PyYQbGjIGmtXIycKkDBjo97hIg8IcG4gAdAOMyDz300Dy9poE18tXzsfpdd2ntIELv1FNPzS6JNGAcO/e2ks+ZwU87SuPKF9pMhgFRm5WUn1zvvv71r+eIzLqHRtcJNB643xIIYO636Fo7kcYl6ovWLABFmk7cJYAtblc6Py2ad4bOXcK88dU4ZdZ+AB5lwUiAVw1vGbMWoKv9gDYPmDK4aiPasnbzWTub1QggYewTORglJNBfCQQw91dybZ6HM0ZTsO4DYFnIaMk6tWKKTEMGwKgQ/KYpcABym4IexMNRUUBaMIkoQRoyAEZBaS9asxkQFzu2BdnkuOA1UlSDWKW4VJdIIIC5Sxo6HjMkEBLoHAlEEqPOaauoaUggJNAlEghg7pKGjscMCYQEOkcCAcyd01ZR05BASKBLJBDA3CUNHY8ZEggJdI4EApg7p62ipiGBkECXSCCAuUsaOh4zJBAS6BwJ/H/ZGIx6vOpgpgAAAABJRU5ErkJggg==)
Tensão AB = 4,568 MPa; tensão BC = 8,754 MPa
Tensão AB = 9,638 MPa; tensão BC = 8,245 MPa
Tensão AB = 3,638 MPa; tensão BC = 6,245 MPa
Tensão AB = 7,795 MPa; tensão BC = 6,673 MPa
Tensão AB = 8,050 MPa; tensão BC = 7,860 MPa
Uma mola em seu estado normal mede 30 cm de comprimento, ao aplicar uma força de 15 N ela sofre uma deformação. A equação que determina a força elástica em uma mola vale: Fel = k.x, onde, Fel é o valor da força atuante na mola, k é a constante de enlongação da mola e x é a deformação sofrida pela mola. Determine a deformação normal media da mola da figura abaixo se a constante elástica k for igual a 950 N/m.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASoAAADpCAYAAACTMXqBAAAgAElEQVR4AezdB7hmVXU38DWVYahD78xQBAsKFhCQogICokJsWIgiGrHEkqhJLFFT1Bi+JGqMIUa/xAgWEAt+ClYUVBSxFywIIgpIL9Pbd35n5g+HN/cO9965M+97x7uf57z7nH32Xmvvtf577bX32ee8U1Y2oSbDpAQmJTApgQGWwNQBrttk1SYlMCmBSQm0Epg0VJNAmJTApAQGXgKThmrgVTRZwUkJTEpg0lCtxsCKGy+td77+P+pHdw0iKG6pL/7Hv9WHLvpVLRuuesuuqY++7R31mZ/cOlyOqvk/rve+4Z319RuWD5tn+Y3fqjPf8t91xYJhs0zemJTAepfAABmqFfXzz/9rPf3QR9WjHtUchx5Rp7763Pr9elrqn7rZvDryhENqx43WnQ6WXP3petUpb6kfLBktj9m1z6GH1cP23qamDVd06px66NFH1gN3mD1cjqqZO9Yhjz+i5m02vNpX3PLD+si/f6KuXDg8mT+oOytX1LKly2rFgDd6+bIltWSJY2ktXzHGTtM8VxvUZ2vTB0P+K+r7//bMevqnNq13/ufH6iFbNbVacH195hMfqa/85In11AfOrPm//XldefOimrrRVrXn3rvUxk1fW3znrXXbbfPrjoW316LlG9Vu8+bW8ht/UdfeXrXN7nvVTptNq7tuvrWWL19a1996cy1eMqW22mGP2mXbWbVy6Z110w0LauX0BXX975fXTvO2q1323KU2nbas7vj9bbVo6V31+1vurGmbbVd7bL9JXfebq+quFRvXLnvsVVvOXCW1pTf9on76u4U1Zdqmtdve82qLmVPaOs2fv6St0x13Lq6Zm25Z8/bYtTaq5XXTld+pi796ae377R9Uzdmi5u21e202Y3nd8Muf1g0LVtT0LXarB+y+5RAqmVFzdtq5Ntto41q+6I667eaFtXjFXXXzrfMbeWxSe9xvz5o9dVZtu/suNXWTqHRJXXvlL+qW+cub+m1UW++yR+20xaa10x671KyNplQtubN+/etf1+0Lmy44ZWptsd3utfv2mzWnM2r2phvX9CbLwIQlt9Yvf/abWqD/TZlWm2+9e83dadP1Ur3lv/1s/fnLL6mnv+8tdciW60YoK5fc0WBwcW2507YtrkfXsOV15xfeVoe+4iM1fbs5tU3tUk986V/Wn/zRfrUapiMkt6J+eu6b62/O26L+9qw/q72GH8tGSG98swXV40t1lNRWzv9O/deHf1kvOOOrdcz94xFsX6e+8iEtpRt+eG795Wv+T908Y9uaf+uyevCLX1v/ePKh9cMP/3X96Rnfr+0fuXMtueK7tfgRz6kjZv60vv2dy+uaea+ti/7v4+sLb3tRvetby2urXWfW8ptvrpXbHFlvOOPP6hHzz6uTD/2XmvOUg2rJr2fXc0/ftd776u/UX138tvrhy59XH715k9pq40V1XWMMHnzYUTXjt5fXz37w89rmlA/WB1750Fr264vr7//utfXDG+bUisaAbvPkl9YZL3l8XXvum+ql/+cntd0jd61lv/993dkYu6Nee3b9xfFb1o++8rW6+taf1vv/9vX1qR0OqTf+4+k15Wv/Wm/+p8/Vyi22rOvv2rhe+I5/rdP227ZHgtfWe1/48vrVY15br97va/WsZ360tn38/rX02t/Wot9fVXu/+FP1jlNurzef8Jra6u8+UK8/fGZ9/SNn1BnnfaeWLZ9ZS26fWvf7oxfX21+0Ub340LfU4y74bD13k5/VWf/6D3XpVYurlt5Rd67Yt17x7rfUCTOn1brpjj1NGuHlot98q979nnfXVy+7tVZu3BRasqhWbHFQve7db6qDtxnWvxwh9fvONm2Xx9c7Pvb4+864FjmWXX1enXbixfXGH/9nHTRq6f+6/uWNX6jT3n95vfzAGWtRi6oVSxbW/PkbDaT3OBCGatlPLq6v3Hhw/fsBMVIdeS+7qt736n+ou57y/vrU8/er+s2H6/HPfWdd+LD71461tKbveUT903//be1x2Vtrr6d9uR78rc/VX8/8dB310A/WpbccUzOnLq3bd3x0ffyDL6ut6tb695eeVv9x1rfrAU9pOvDMTevQ5/1TvRLfq8+u/9uAZEpNralTltTWR7y2znvdEXXR351YL7lsan3pk5+oTb/wt3XUGz9R1754l/ry699Qvz7mffWpU+7XVPZH9Yrj3luXPfng2mX68rpt8/vXv/zLO+vhzaD/wzNfVq94/8fq1ONfVsec8qw66JMX1xs+8956BGtwwwX1lNd9uo44+yv1Zw/eqG787J/WsX/+znrUJ/629rmXKKbUtOnTa/q0qU39VtSds3aol//Vu+vJu06tO7/09/XYv3p//ebpz65ZM2fWrBkr69df+Z/6u/++pl559mfr6O0aRosX1tW/uqpWLLq+ps2YUVOWN2tUOzy8XvuOc1YLenmddfop9emP/bgee2pzvyP+vp6uvK0++Q+n1ydm/ll9/PPPbrwFYUX97NsX1l2LuVdL6+tnvqE++P07asrm+9XzX3FaHbDDjPpNg4EvXvzzuvquq+v3t86qx//xC2rm5f9eH//egtrvqa+qFx25XX3vM5+pa2+5qy792ffrlptX1H6POa1e8JQH1dQbL68P/9f3aurOd9RXL1lcTz7twLrmkpvryBccU9d96rN15W2/rW/96MqasftB9dyj96mLPv4/9bM759QTXvy6OnYvlrTq55/46/qXz91UNXWX+qM/fVEdtc+cuvayC+pb37mhrrrrV3XllTfWJjvvW6e97GW172YL6xuf/HT95IYf1Vte8JLaefuH1ktefWo9cPa1ddZb315fu2FlTd/jCfW3rzqutmipd38W1Y/O/UCd/4vba/szX1rzv3Zw7b3d7Jq950F16M7X14Xn/qQWbH5TXXb5VTV19px65qv+rg7ZYUrN/8n59Zb//GzduqihNWXTOuzZL61nHLxbc97gvzkGMQyEgzdl9ia12cq7auFQazfLflfX3PiQevpR81bJb9dD66iVy+vnv729lq3cpHbaesea1dyZP23zuv9We9WOtLlyZm2/0YK66/ZmfWHF5nXQA/Ze7QbPrgfM26M2/t0NdceSabX15nvUAXutsgjLlmcVYkWtWLF17bWzKdiyWrnRznXATru0a0MLm6nX1rWoFi2+qX7yi1vqO+96fh1xxBF1xGNOr89ddnldfdOSWrqs4TF379q+nZksr5WzZ9UWyxeUJZ+lSxY39VlW8+9sLpqw6KZra8m0o+rYxkgJ2x75lDrw6ivqZ8MuZK9s1h+m1a7b7V1777xKdYtnza7tpsyv+Y1jBGNTG07XXXl9bb/XE+sgRkpo6j33/g+o2UuX1qrVi1Xp3zvr9fXEI5v6N8fbP3dlbbLZRjVlVYZV5fr8u/y3F9W5X92hXvnqGCkVmlr7PPy4etjOK+sr73hBveJLy+u445rrjS6tPz/j3+qmRc1U+vKz6i1nXlBbPvCoOnKT79SpL3xZXb7xo+u4By6uf37Ne+unKxfULz//nnrOP15Yuz30qDruiPvVN8/9xzrzkutqyvwf1j+8+c11zq+3a+geUruuuKI++C/n1DUL76pvn/P2OuNzt9UxRz+6Znz7nfXUN3+0tj7g2Hrosu/WG//m43VLU7tfnPvqeumFi+qEE06o4+53e53xtnfX929bULc0s4IXvfn/1h3bPKKhe3TN+fmF9YZ/+mLNr+m181571jab7VIHHXVcHXfk/rXttGvqHS8/rT565/3btm3907fU88+8ZLXuukqZXtvuvXftvPnK2m6fx9ShB+1UV3z8rPr0N6+tBb+7uF77hn+ory+Y19J4eP2wXv2aD9f1jX5nbHO/esyxJ7R1PP7BU+t9f/6m+sRVt9TU6YPlTd+7pd2rPp1P33u/2m/KP9WHPvnzetQz73f3gvHiO2+sRStn1SYzrq4f/WpBPWVu0/sX/7Z+3nT4/Wdzc3Xc5atcVYuejQFr7U1zvoJntNoMr2zWNRizxpzVr39zbS2cs2njad1WK5r8zTrpEKGhtdpwrWzyLGt46L9TVjR09fFp02uzjR9Qz/jL19ZLD9y1SVhZC2++vWbuPKeu/u6ypuyyZkVqVVjZLGyubNaAWtPQzFRWNoue01YvHsyY1aw5Lb6iftUg/AHNutzyX/+krmzWnDa/jxnN8sbYLVPvhs7Ktk4N/dU2qRrgz950at3y+5+3DyI2X52+ZMFdNa0VyNSatenCuvRdr6o3fXHHettZn6jdNrqpznn92+qKxY1hXl3vQYiWX3VF/Xj5g2qvHYeozeIf1HkfvK5O+uf/U0941NZVj9uxvvvoN9U5331yPWzanLr/wx5WT3/KcbXdXr+of/vk5XXIU46pw5dPrQ80U+ufXru0pk7bto4+9sn17JOOq9m1oJb94NL61AXfqZuet3HtvOsj69TnP7NO2LYR3lXX1MbNYDOtseBTZ+xShz3mj+oJTzqgtvjFBfXTH+9bx574hKbjX1Effs336/d3PaI++K5v1B7Pfms98IG71cr7zax9P3B2XXHdrbX31M3r4Y88vp77xyfUvIbsHrd9vb5+7uV1w8rH1rwH7tsMsI3XdtIJdUizfrjsl/9TF35523rZpS+pY5t1seMf8Ps64Un/UV966qH12K3uVnQjlOm1/QP2rV232qn2OfrEOuKAO+qKM2fWTTOmNtjeqPbY98h67vOeXIdu0nhRO15d//P8r9RVC0+uHbbbpx5z8BZ1zS3N6LbXipr73o/UrXcubLDdpT2EzPuYNBBTv5p5cL3+Xc+pJ7ypGSGvPq0euXvTUxfcWt/71bX12NPfUM9+4T714ne/ufa+7pC66bufqV8dcXy9Zf8d6mffnF8LFixpDdXK5Utq/l0LVxmIlctqwV0LamljVWZNX1JXfufC+u+zbqy6/vL60G+3rFe+5PDaasVZdcedDUDTM1csbcosbK5X1JIFC2rRklWmZlkzbVrQuHpttmWLa/4dd9bCje9Xz3vV/er0c/+j9rrl0EZ9i+rS86+sp/3zy2rm8sVNnRavMp7NneXNmkqup+/+kNpv8zPqv95xVl1zv93q0Y89vJ54/Nl15uvfWrcfulv94IIP1/Z/fkYdOacXEffUaYU63LXoHkOY66bei+bfVXcunVUPPPbpdcCXX1lv/etN6zH7Nut619xYd2y5W/3JqXNqcSOXJQubts3curbcYnF9+6sX1C/qprrku7+o6Xs1rVxJDh259FZlPV5P23Ne7XHnlxrvuerBO/cwnrK4Fi/fufbaZfVj2pnb1dxm6ru4NbZTa0YzmNDgosagz545u6atbDpho9Pp05q4cZ5XNsPhprNmrt7uMb22mbNtzb5+US1tRDC9efgwa/Vyz7J7PUGbXhtNh4RmoFg5ozbdaEbLY0UzqM1o6S5pcLOyvn/uW+r089R3am00d4967PSNa+XyBosbNR6r5KY8Psqgtrx5WresqdPSxm40T11qWYOZ6RvNq11Wz/Wm7bRH7bbkwlqQ0Q+JhGbEWt4MVksXm8fFY9a+KTVz+kbVLDm2YfHylc31tMZAr6jfXv7Z+re3v6Muv2N6M8AtqF9ds0UdsVFzHpoDGA+GoWoEs8NRf1Wf3fZB9Z4PX1I/aB6K1ZRZ9YBjTq9jd9+k6tR31b/OeGt9tLkxZc7j6p9e+Iya0wh210OfXKftNqdM0jba9fB60WvuX/O0aPb967mvfUEzFZxWV0xp1ox+f3X98AcNyGbtVH/29y+u4/duPJmbH1Gnv3bb2nf1WtDUbR5ef/LarWvP2VvWZqc+vx40b5eGULMIfdTT69SH7VztTG6vo+pFf3ZX7dSAasfH/0392/S313u+9L0mX9Wmxx5fB2y9Td150En1/G03a6aIwtTa+aAT6/lzZrfXUzY+sF50xmvqfZ/5Qf3gpyvr4Y85pF749v+s7Zr1rEubtk0/9M317899RFvy3j9z6vDnnlYP3n232mrrR9fpf3Z77boagJvu+Zh60Z/fVTvO2q6e8PLTa8aezei/zYPrDX//9nr/f53TyLKZzkzbsh5+1KG1+YxF9exGLvO22rIe8oJX1rNn/Vdd8r3v1fTNmnWKP/mLeuBDdq+Zm81p5LBJ3f1M494VWa9X03Y8pE465Iz6uzf+a+3/jpfWXg0UdMYfXHx+LZz34Npnlx/VWZ/9ZT31RfvXiisvqs9Nn1Wv2nWLmvoz+ZiAVaHxaXN6T9wYrmkzZtXmUhZcUed//Xs1+0nPrS2m/qDxRjymvydr96ybfk8Wxq/x5mdtWw+5/3Z115PeVu950j5tx7/l0u/UHTtOqZsURLdLbPX51MbD33jR72pRgyth1rZza+OV761PX/66etDDN6nfff7Dddk++9VrGs9odKGnHVOaJ7p1Xb3/T99QN57+8frsH89t6vjdeuEj/7HZ1jCUFRwdt3WZe2AMlUZu85An1Bua43+HqfWwZ7+uHtZzY+eHHVNPTuKOj6hnPH91hul71kmn79lc3FzfXTCzHnrcc+tfXn/UvUpP2/ohdfILVz1VdGPqnP3q6S9sFuubsNtJT2ljP3MPPr7m5mr3g+vk5+aiufe419Q/PO6ea2ez9z+qnrJ/0qbU9g9+bD31wbmumnfYafV3h91z3Zi8OulVb62Tukn/63yLesSJT16dulOd/Jx7Msxupimp05GnnHz3jWk7PKxe8JcRzt3JdeLpu6++2LZOeM6r64R7bt199rTTH3D3eV9Ppuxaz3nXmXX9m95QT3v0eTVns6ajNh7SnAOfWm97w7w69Z/fVD976QvqseduXgsXbFRHvPpv6jF7blmXXdDse4on1BiHFY3HscpANOeN99NM4mqjTebX597/qnr0l7dupuPLaptjXlrvaBbTN/rtt5vtLMm/qvWryjR2xjR7taVaaXmhy2PZ0lo0Zbt62t+/rq5643PrqHcaAZfXdTMOrnM//NqGo2WKVbVAtVt+2o5H1QmH/mO94tijmm0yR9Rb3/WK+uszTq43vPzR9dhZm9VNK3asvzjzJc0guqo+9/5d3b7VpFu6q43iPe1uGTZtX1ILV8ypk1/11Hr+u0+ro/67aqtm4+BvrtuqDmsGvm6d7s2j/1dTNuyvJ9xan3zTX9dFs59Qf/OaY2qz/st7sgZjkUCzz+ja393cTpeaBcLadJudatvNVo2xi2++tn53x9KaMmOz2nnnbWpGY8uWLrij5i9t1hG3mF1Tly6o2+5YVptutXnNWLm4brtlYc2as7zO/4uX1blLHl2ve+Vja7NmqrfNTjsVkiuXLWz25i2pTbbeopptcY2tWVi33tpcb7VpLWum/cubNcTNNp5RS+bf0UzFZtTmmzdP+pbMr9vvWlGbztms5b/8juYB0M3mcU1tN9+2dt1604bMnc2Tymm12ZbNNLRJX9ZeT22uN1l1veDm+t3v76jl0zapHXbarjaetrJu+92v69bm6ebUTbar3bdr3cmW5r1+mqn6Hc3Ty+mbb1mzmye+C25vaMzYpDlv0tPuph0rGjnc3lxvsvXmzdLmkrr+2utq4dIVNa1ZJ91k+iZN3Zt6LGseQC2acned7sWnzxcbuKHqs3Qn2Q+oBG6qD7749Prs5qfUmW970qpp/YDWdLJaqySwalialMakBCaQBLzmkf0+pjdT83h3dRu694du1uza/wnPaBbD963Va+ZDZ/sDT+2+ThN590skA+9RBXQRmrgLzNzvlwAnKt/ILbF2ONfxp01bvVI/II1TL0FnSX17Y/VOZ0q+4atvY+Oqu6E9fN4N7w75kJegLy1vNgCnT0WG0uBgWbN+J63fmBhIQ9UFHSARYheYBJwOdV9Au6/7aG0IIQAbri2Rn/tk1wWme5E5gM5odq8PUkjde+NBquOGUhcyFsQLFy6sjTfeuDVU94Wvdd3+gTNUAWOEFQH0W1Cpx4YWL212q09vXs/x5r3gvN+jZ6+Mg4kYU9cM7fe///1mwfiOZhF959pmm21aYyuPMBxehkvv5bkhX5MfT+nWW2+t7bbbrjVK5LnJJpu0cstgJU6Ai36GgTVUhNkNixcvrne9610tKB/0oAe1wGTxBUKeBGBXWveck4vDlxIAcYsttmg9JsDTucl5ZrNRMh08IB0keQYL3Tr95je/qVe84hXNe3NX1sOaXeh77bVX2xZGVv6UuUcSk2ckQM+8pBtuuKF+9atf1SGHHNK8iDy/xcDmm29eezev5Oy///619dbNy2KLFrVYGYSBa+AMVYSZqUng9aEPfaje9773tZ1t9913bzscoetkvII/dGAO134y2nTTTevHP/5xC75tt922delnzZrVpu+3337t979mz57d7OpeXBvZPd0YtkEKaZt66TwXXHBB3XLLLbXHHnvUVltt1a6xBAOmrfLH8Pa2Y9Da1lu/8bqOzHrppc/woBkg/Sxe9W233VY//OEPa8stt6xDDz20Nf48L4Nav+U2JkMFJI985CNboPcKYiTXZ599du27774jyVqXXXZZfetb36oddtihFV5GzCzy9Rq0ERHdADMNB0xNJSMATSwv4P3sZz+rn/70p8VIHX300bXjjju2nX4QRtBeFcXwfOELX6hf/OIX9cQnPrF23XXX3mytkep3p/pflZogCXBhlvLVr3619VSf97zntd5X8NLbDN73jTfe2Js84muDJaM4kjAmQ8XtPvnkk+vLX/7ySHj8rzxGvfsCE+Fcd9119clPfrIe/OAHt0aql5A8jklj1SuZe18bMbNAnhGyG3/4wx9uAXniiSe2srwv3dyb+rq96ur4pptuqve+97319Kc/vebNm9cyVtfkkeA6aeNVsy7GnIdPzseLzyDQSVvPOOOMOuigg+qwww4b1vj/7ne/a3UxVjmYtl977bUjWhMd8woZ4Jt2jXdgpWN4LJaaihx44IF3T0vCLyNs8iY9cYQ3lk6nbMrlPHHoJ14bPqGxruMYKXyyKCqOsTrqqKNaA0DOu+ziHcfBCuoJawZI09Odml3kjC8dpT1wEF0kHq9WBGPxStF1jk/ujRevftLR99Km3XZrXpJv3j9lrHjYQ3nZ9HDxxRePucrWFvEcinYv0TEbql5C43UdkGnAb3/727KmoqOZUwNHDEj4xWD1pvfez/V9xeg4unTVKQZ0vPjcVz3W9f3IGR8uuAHBlGrQDBV5M1IMFBzQSzpO1zhFXtHbeBoQsgouunIbDgupy0SLySxtMhBYdJc2EkMylrZ2ZXlf5QfOUGWE9CTCUwixAKwBjOsINAZE2lAh+Ya6N1Sa/F0+yXNfyhotn9DtV5x24s9jIUeDwiC2Izrec889245jbc2T316gqzs9JT1xZOz+WNqHv9At2z3v8kl64vCeCDFngGEyIPBejzzyyPaa8R9Pwz8WWaz+tNxYiq6bMoRCYB6jW3D/ffPd8euvv/5uZl1QSOwaEPdypADAjOZQHjDVI6NzaCUOD3HCaHgMQl5156UI1gKB0+L0cG1OO9d3rD5Gd3p2WET/3Oc+V7/85S/vpdduvSJfnat7SB9LCO9eWkPxSdpY+PS7DK9a3zvvvPPK1O/+97//3TLud90GzqMCTIAwytvTYa/HJz7xiRag5sRDhQAw8VB5RpqGRry64cqMB5/haK+vdDLm2l9++eX1la98pR73uMfVZps1/0Izxs68ruqtnrzpeDUPeMAD2iWB//f//l/7JNjWixhddZc3+suAo27yjLVtsJhpJ5rqhIcDXfdj4MfKY13JbzR0tcUDC0/+TjrppHYrkHZ1nYHR0BvPvANnqCjfCCqw8J46XHLJJfWBD3yg7ViE5r79NEAhj4OQCdXhXBgLaEIDMAGw6w5by3G/2wHGyqetYB9/tEOHI6ODDz64HT3TCftYrWFZ07v6Ck94whPq5z//ef3oRz8qT57oildof9Vdd91VBxxwQN3vfvdrF921D1aUDUa0Ez1Yo2N5XEtPkOYgJ3mUZcg9qfpM88cQrnkcvH77udDHO/TQSX2DqdQB3Ri5YN096f0M8G3j7MMf/vB2y4q6qecghMGoRY8kuqC0Q9aH8j0hABLWHjC/8Y1v1Gc/+9maM2dOu5MWaCwEUzawCDEogMKYCYSvfEDbJjY/yjnkZZyMzPKZZtiGYf0GD51gXvNoXD51EaMVoIWudGnidAr1CZDd62dQJx2PzOxR67ahn/UaivdQsmKIdCqB3ujs2c9+drsv7HvNV0vvvPPOVtb2+9EXXcrXG7TbIbgfncEJGTkEepTm+OM//uN2D9oVV1zRrqEuaD5d/ZCHPKSdAdiThk54hX7kixYc5Lqb171+BfWBTbgXXMeYpi39qhu+Y95Hdcopp9RFF120XutOkLHwgAMg3/72t9sjj60BRudj4AKyVJLwCV3sSAdAy+E6wHEN/Aycd6Ls7LZrVwdgHO3oNpLikzrhg25CFBzj1Fuf5OtHrH06jA4s9MqkH3UaLU9tiIzVP7rTLhsRv/a1r9V3v/vdtm0PfOADW2NiJ/v222/f6jrecvQXGmK0BYbJuQ5Mf+HnHj7XXHNNXXrppe0SBc+NUWQcvX/oYZD8ymfwC+aUj8zDL7pwr98hxrS3zeNZr4c+9KGt7GIc10R7QhkqCqfUjHoals5vK8M3v/nNdpGV0bIYCDRet3EOMMAivyMgkU4pgrSuUQGcpAVEHuEzWldddVX7QiyjyGjh5d059Lrgdt2lnbqLU/c2Qx9/tJEM1MkxkQJZk3FGf+2AE2ldnXnDAUa0z4u4vLF99tmnfQVHe4MtOkHDgab85NPFDnwFR5GX+zz+73znO+17lQY4nioe1tV4Wt0QHqk7/qHVzbc+z7Wzi1e812WdNlhDFaMBQASaayCJyw0AAGMNw2jHG+IBmbaZPhrlBPnQoAjGSQjYgcYRQ+K+fDnkxZOxYrSuvvrqdgpgeuiFTtNDQFUuNPFDM9dorEsQoL+mQHZC5Oi8n/XBf7SBTOlIW/oC1HAAACAASURBVBgPbWGcuvqUJwaLNwwXnhjCBh0yJja6MiZoRffRtWv5rN8IXSzwoJShUyGy9EUH62ce8XsYhAbDCBuerAar0kNP+eDNeT9CMNHFQdK0bbzDBmmoCIxiKZNyAZPLCCSuxTE+Ufjtt9/eviUOnNYTPNEAlEc/+tFlT458UUrieEMMDX7pDBRlqjnU93m8zGkLBR7WR9SNYbQoaQrgyRReaKGJFn7rQvmjBVO3DmTsiCxGS2t951fXbkePbNXDvWDCtTalXfIxWjwsBsVgQzf2ZtEZLzzGTVn58SEreoycIrvcU0aa/HiJvRfLKP7kJz9pN9TCjwV4r4XxxlMGH3T7GdKebh20QfpQ97r5xnK+QRoqgghggCWAEMdQJY3CY4SifKOiT1tkTQuIueVGOdsevBwZZQBtaAZw+LuPHmOmfEAbYyavUdZIio8XfhmpuXPntiO2KWg8OvRSN+f9CGkP3jlXp3ToftRpNDzVNfWmA+d0Irh2MATy0b+BLW1LftceivDCvfwulk8nst5pP58joasz547wzCAX45O6JYYNhtGWEF64hxn4MFq8/u70MPVTVsBnqPPUa7zitA+v8Bsv2r10NlhDFWUxWBTJWESYrgWgARgBYATlpAVAygOMw5oTOkY5hosHBDQJAQxAOxfjiSbPyXXoui8dPQEf4LeT2jRRPou6+PDsGDFBGWXVPbSloY1GztvMPT/uRQY9t0Z0qbyAxtrQGRGzCZDJtM07prwsywamfLxjD07ihUfm4siPrgxuruk/eehPiHwj45tvvrldzzKY8e58Kww28IGNLDArj3YXh/gEG2JHQurUTcu9QYs3WEO1LgRt2sZYOUwFKJrrb53JukIUDjBAlth5r+GSFqCoq7IBpqdQDJb1EXwAEfCtjcxrFuJNNYUYrNCWFrCj3e0E7kkTwqe9mPwZswTIM7K0R8saE6PFsNAZTFjrZEwS6Moh0Dl90RM6znPPQOTo1RnvCh/YwIfRggsbnnnh8e7RipEy6AUjXU8Of/SD29RxEONJQzUCrXQBmezWsBgR60wMF6Bxy22I9K0mIBMAxlSiC4oAU3qAIi0h4FfWa0E+b2G7A5ACplEbL9NQ5XUKAARM5wGe8tLRA1bBeeiH32Q8Ogno9OTeOxCgwnM20PCKPdWz7mQ6SF+ObIVRXkCLnuhHmiM6ct7VZc6VMzXMgMarM4iaHvpWGKMFJwnRNz6COPjs8kj+QYwnDdUItMKgUGwU3gUMQwCcFsftkQEeHo+FViOq6WE8IKzkFwKUgDIgQtt50tvMzQ8jZDczUNrvw1DqAEcccUQ7ktrzw0glhIbrgFEspB3txeTPqCVAtgxMDBa502d0SM6u6cwueAMZnTFaPHDTNh4yo5UBBMaUH0qH9NWru2BQOvx5GASDdtxLy2eC8bM8EbxprHq7lm+iYGHSUI0ApkBEoRQMIPGIKBq4xAEcYPJ8rDd58meUA0rAmdsslMdzypoVesqLGbEu7YDIvd5OwFCZZtgJD3T2+1jPwgM4UzblwifpI2j2ZJZhJAAPsGBNiu66IfIl95yTvWB6+PWvf72dutE1jxg2rHl2Pa3gILiDrdBCJzqld3kZRE8I1UU+U0P4g0P1NCWEDbwMaKGlXPCI7iCHSUM1Au1ws2OIZKfoADQgBJ4YnKT5kwQLoB45G/HQABhPDxkWQAOklAM6aejncE+eAAp45cm1+livMJri51M3ngiZZuBlZ7UAlGh129HemPwZtQRiKBR0Hl3QU4wAWQvipNGbQM+m8x7QWIt0DQ9e9TGttxlYCA08ggfpdAljSZMP79AP/uAWJiwbmIrKYy8YPrZXeKqMdvKjPahh0lCNQDOAAQQBHYA4z3WAS+FdUAWgjIspoT1aQMMbsuHTFIBBCTBTldBLeXwSpA1l0NznpVk3M9UwRfQo3QhqsZ9xtG6BdgAdmhtSHL1oUzpgV37dtka+3bSRnIfecOXXdL/3Hp3Z5sALYrgMaJYMfC2TF55lA+UcQ7WJTt1jMENfO7r184SS0TKo8cQZMZ4cPvOaBzQxtsorFzriLs/cj2GUt4v5kchvLHkmvKGKkgizK+AIIwJ3zzGWEOWMpWxvGUaLoWKw7J8CICMcQ+Jxs1EuhkTbekGCXsDTbW9v27LYmjUt01BPh/DxFMr6VsqkfcAndHnKExmnI4R/yrWFBuBHfTKoRDbSHGSatN6qRg696evzWh15w7xv2LDpU70YE53UNJGnHN3QibbKQy9pm/S0R+xa6GIKFhgti/0+IWzri1e7DGgGTQNa+BgU1Q2PpHV5uIePQ155wms85TehDVU6FsEQWJTSVYz0hAg11/2KAyRGC2CAxRRAe6wvcf+NqtmjpV0O9QeELmC0IUBxP22UJ9cAhI91CyOqUXpus5aFR16WRkf+rkxDO3R6aaPbu36iTL9C6kkekVe300iXR+jmjT76WW+8o1d1Y4QYLE+V6Y6R4oHTGWMSLzztTBvE3XYmPfnQxYdcco/BcvDqGC1GIXu0uhtL0Qh952gJGcDcSxvaG+P4M6ENVUAXJRAUBbiOwJKHzHIeBY2jHEdNSl1SR4VNAbjkFkAZEyCY2xgTC6BGuwCGcQggxI60C51ck4HA8OAjnWxcxzCaIkqLwbLnRz4BTYdrh3IO+XPfefK3iQPyo+3BgLanQ6UtqWbvddL7Fatz5O48TwBtPYAN6532TpH73AYbPGS6S76U1a7QYkSc053zBNfyoxUc4mP6yZvj9XtYYFpo1z3DlYCeI7hCBy7R6vJI/vGIJ7ShigAITaAgQsuokTTpOe/GbWKffgIqcQJFC3Y5e7WGl2X9wjSOp+WTIAADmGmTtjsHPDEa6ZjO0ZceGYVH+DCMOoDFVh6eqYa9YJ4UBcDKOlw78HIMkjelPdF9HhhEJpFVYnkHKaSTR97qFnn31tNTZQvx1jvFymRfnfcBhS6dlI/+e++REbnBReQjr1fIrHd6SGPgZLSspzIYFuQFZdW9i8fQCN/xiie0odIhCYaQCU3odsTxEtJ404nxGAld6wleYjYNMKoasQDTKGdjaTrlSGjJMxxvxhAfe8HwMQUATHw8kcIXKMnZ1JHch6M10rqMdz71ceiM6qqO6m0dkMcq6ITptO7nGO+6jIYemaqHWN0d2iFIcw7Xjhgag4p25b1DBsyDk+OPP74d1OgodJXT5tDNQBZeqat08lIXZVw7rJ3xvmGDATPtfM5zntN6c/Lhoxwe60qeE9pQRZkETaA6LUDyDmyOdF96V4AE2a+AdzqJOgQ8qY/rtAkAhADTPW3rAsYCqz8wsDAOKNoq7obQxBut8BRHFuLUTR6d3BTAl1FNARgsX6pkIFM/+ZyHRpdnP8/VSccRyMIDCy/2MsI6d+ThfuqeNklb3wFv8mZY4JcOg1l10Qbp2iQfuUvTDsHDFzSubjxjh6fJPB4eUNoaQxW5uEbTfTTx4xXF6EhzH5/UxX5A8uNlmX667z8en/WsZ7WDmnzKR6Zt5cbxZ0IbKoImGN6ADW821PmQvxc3pa8roa2N/AOWuMsBQjoLAKi3fA7KB86ACWAYLCOoR9k2CnpKE5ApG2Ojnq4BLjSAUFr4uBaSB233rInZ3mA3NWAavf2pwzOe8Yy2Xuq7LoHZVmqUP+pEZtqko37qU59qF6Kt5Ti0STsdZJCOTDb9DtG/eqhbN+Re0rvXzqXDU/ROBsnTpdNb3r3h0lK+9z4e0gwANht788K/UZMp3KyrMBpDde+hel3VaBR0CUwHJiCjib8b9/jdZjZucEAZIMawjYLFwGUFoLQnlZPm6IIq58kz2jj00GGwTAe9nnH++ee3f5hA7oMW0mad1pMyT8z+5E/+pJ0iD1pdx6s+9NQN+sK6NBjhdcghh7R97V3vele7+M6QcBjS55KvH/FAGiqKYoBMUywEH3vssffqtF1B9Xbw7r2Jcp72plOKc6QNuZfrscRdGrxV7y6aUrz//e9vv3JpnYIBc6+bdyy8xqsM2fDyeFQM6qGHHtoaKVMWxqvbqbvnExUX3TZEhvrCcGE828kooXfMMce0f2pi64Tp6yCE/vvHPVKgqIye9oAAJpB2FejcQYGO7r0ecgN9mXbEKCVOu3rj8W6nqZ/1D1OoCy+8sDUIplKDYqQoT10iJ9NiT0jj+ZFPN8iro3XLpOxEibvtybn2DHeMZ7v0O96TqZ+lAYNWZJ269CseSI8qaywElw2SBEaICV3FUVYvaJNvIsTa0g2917kXUOZ6bWK0rI2RtSeAplRkSM7kPighumWA1NeDgGyzUN+urLrehXITNQTb3fqvj/bAgj7miSB+pps8126/69ZpfZ7f0/PXJ9c18AI+gMvIbl/J3Llz2w5FgVGYuAvS7vkayA/krZHWfaT5RtpI2yQsUHvFgxFAf7x5jLQuw+VTH1M/uLBJ1oKv7RUxpr31DS5604ejP+jp67M9DBO5GbSsCZv26YtkTwf9DANnqAiKcDyi9ZUAe43mNoaKVXdvKAAOldZPoa4t7/XRHjwA0RNAT1b9+7A0HSOdY23bMV7l1QsmrJnYyuGfii38wog2uK8z8Qhi1KQNFdJGniOajoThyqCdTpypUFdOaOS6S0uaskL4DMcj5foZ86QuvvjidnOydSp9ztPG1L2fdRtIQ0XBNida7P3KV75SH//4x9vPvwKlx/buAyUQEKJzIQJ137lYECct1wAzFGjkoyCeBrfXIZ90SnMP7Twudq+XFx7SUz/XgxbUX6c3etod77WNgHIoufSr/pE7/gauZz7zmXXOOefUmWee2e41s27FeNjSwSt0bm0li+3RDV3koMM8RdNmhzCc12B7h06sDB7yOeDOwbtDG2+yi7HEJzTxkDd4aRkO0A85a6Mn649//OPbf8hR38ip31UdOEOVEYtgbEYEDH/dfvbZZ7cA9AqKaaGvE3g6BURASdBA6RDQCTAAKeABKGGozijNfRsJfcLFLnGHAHSeigjJ1140P8pIy6grXRpwDsUn5fodM/o+CeJIiPxyPQgxOUZ/BqvnPe957StCHrZc1Pxbt69JeGKZD8nBBt3DBj3QC3xEf2kj3TjoVpC3N7gPC96Vs8/NVyoYdTysn+LhEGKU4LF7jS6eMWhD8WkL9PnHIroHK2SsjtpDjuTTbxwPnKEikACTkBiK0047rR39AYWyAdR0BTAf8YhHtH91xTDFMKBB0NIApCtk1w7AdXRDyl3d7N/yaoFvm+NnymF9xDkeAVrodvm4jy7lOlwPYtB57YLX2dSRTHQwdU6HG4R6k7G6Ro5kz2NiLAxkxx13XGtIvLlgmcBiu2Bbi4NnPh7hj/7oj9ppct6Vs64Hnzq2egySzNamvd7+gAUyJ2vyD87Xhu7alh24v3TXyWMI0nkAIoBjFCwC86z8hbuXfe0FAhgGxf/zrW3A3054sRdFfUoFn3nNW+d46AC8uokedHgGIA8utJfMBwGYka06qSfvWd1gQXCuU/G4nWsHXDBUXhVitFwzxra48IAYE4ONgK6grRmw0Bkq4OmevPBnimTQxAcOeWo+iHfYYYe1UyZ8GHxBfuVSfij6g5Kmrhlk1wcGRrMzfeAMVdx1wAQ+IOGKGu0dgJnRlYItBtsYCjD2BTFa1rYYFUZrOGBSxFDKAGAHoOEnD37c/6997Wt3v3NoP48pk7fbux+so2ygHA70gwLKDAiRwXDyGIT6wgCdGOUZLeuH6p86u8c4pC2u5bMXyCDju0zKGMw8zbIdw1pMgvyhlbRuDAeh380HF/DKm7MIzdO3jsbD8ikfWISNBHwGGRdk6oBh7XW4FiLbtGU84gltqAiA8hkKinUQmNBVsvOAVQw0poMeX1skJlhAMT2c2zw1zHfG0Uk5570hPAPIxCmjbrws4MdPB8An6xYBpvzCulBwb53Hcp36xeinI6adY6G5LsuoJ52TJx11QxcXSdcOh3s6noGMzkzdGDxLCgwX75gOhd62uxbwdI5vV5+hLQ+88qw8nPDvNDxwnqqBjHGEj3hZ8vfSliaEftqYtnXzr8o5/r9dGaOOZ+oz/tyq/byMJZY4E2viMXAeVSpLaDFQESDBRXHJl7grVCOwT2X45g6jYnT1VMh6lqlbd0RWPiAILcoJUHIfX+loA7pgCuC7Twyj/V6ACpgHHnhg2wFS/9BoCzU/XX7ouk578XCdPMO1N7TGGoe+8usSjGOt37oqR08eltAZjOgkpoXWIOc1XnhX3l0ZBQ902jVY9CYo1y3Ly8r00HfI4M+g2f3ETtoYPmK0g5tcy+ecnrr3pHd5up5IYcJ7VOMpbKC0luELmJ4OGdWMbj4k5/WRrM+EZwAZMAJGgCQtQAKadHBTA19StPhu3UwHMO3Eh9GyYO0JW0KXnjRgCz+jP7ry4O1wz7V84Rlak/HYJECmlg286MzTYlgsK+g8PC3YYMS6cleGDqQZsAR4irEYSk/ymYLy6HhbjJana5YN4MNesPCJztHhuXc9PbzoPvxdCxMZD5OGapUO7/4FAIFBARjTQ56WUc5oaiEUeIAmRiKxcoATTyrGAk3pAY980hw8LYZRBzCCe+UDn7nNFNSUw4MBZQM6tF3nsbD00E49pE2G8ZEAL4h8GRnydU1n+cPZGBMdiYdsap+HJ8rRsXJC9ONcuhD9tRfNT7wggxA+BsxsrIQ9fCxNWPjP9DBYCq/wSToe0lKP8JpI8aSh6mgLsBwCwESxngh5auMDbL5waHGV6x+jYjFf6AIzoGlvdH4CHknoB0SueXOXXXZZu25hcyKDCJAAakE+08jUES0h9exeTxqrVjRr9UPOZNuVa/QXg2Idy0DDM7bWxIjMbQYZ61n2UaV8pn29OmeQoqvkVWn58cg9XhyjhY+nzIyi6SEcwomyKaeOXfwGl6lzm3GC/Uwaqo7CAsjEuRWwuLYobj3L/ilGC0B4QNYTAFNewHA4D4DEAYxzR/iIHd0R0t4bHp3phqeIRmnAtG6WDqA+aAqpIzq9vNsMkz9jkgAPNrqhM4ZFMGhEzq7loydGiwdu60O+NuFPMzw4YXzoODTRQDPlxTEwaHdxEv3y9PGxCA+Hnl5nMIMNnn4GNPzQQFMbwqtlOMF+Jg1VR2HAAQhAEWWb/1sXkNZVNrAZQS20ehphfQswfbjPaybyW2sCDjRcZ/oQPgAU46QDBPyqJL8AbEBvqsGj42lZx/J0yKKuqWHWtNQJzZRtCUz+jFkC9BSdi3NOp2TcmxZGPGPGxBYEU3o68+ccPulssLG+RU8CvceQpLwYD/zDR1qvXnlW2QvGQHoQhD4+tjwY3FImdUdnIoZJQ7VaaxQZYAAJAyE4zxFgRvmri7YjpOmhBVBTN4vlgGnK5vDKhjUlITzQEvBBD4+ASR7XvXyA2qKudTO8GECA5NGZAlhHi+Fria/+CS80hfDJuTj3nHdDb9nuvcnzoSXQlS8dRWe8IAPh3GZqyMuCEZ5WjBZqdEzvDnRCC06c069Y6OKDkTJY2r/H05KH0eLpmyZmK4xy7sVA0nswGR7orsl4KmvwXp9h0lCtpbQpvWtYKJGnZQHUtM2oZ90CaBgtbnqMgrLAAXyhIS0HwMgrT8DsnnR8LOTawCrmTZkS4sN48e4S0HaEj3R0AtbwkSakfuEtfSgD2Gae/LmXBCJDiZEj4xTZMyIMFm9LGp3Z9Gm900Aj0JWAFhqhKaarxPIEN9Kdiw2aPH2DmSUEHncGTgMaj06AK/kTw5A64QkbAtylHa7l70eYNFRrIfUACIkoUxolm8ZRPGPle+MWQ+2d4l1ZaOWeW08Q5O8CAI0c0tEWSwsYw095T4esmVnwZ7QAj0HEx/TQo2tpgnIBtxgw3VMH5+GHl9CtV5sw+bNGCUQ/0VVXdwpGbwYwa1lwQXeCAS3TQzqLnugHPWUdGbTaQs2PfN374eF+pqAW4WGRZ59p6NzGs4NTukczSwfKJ63LK5gQr29cTBqqaHsMcRRHsQFLOjpwdZUMmJ4QAYz1JusWjIn1LF4QV1p+dJQNENDOearoviC9CxrnphnWLYymRm3G0dTQXhyjNx4MEj6ACajKOaT3BryGqkNvvsnrVRIgR4HMoifn0oMHsu/qlM48mKEzX16ABV6x9w5hRLno2hTPOYMTnKCfwHuLjpMmlhcuYNDSAQPp6TVs5HtdsJB6ZfBUb/XFA920K23p8liX55OGai2lS5EBovMcFO4IWKNY94EJME3beEEMxNxmdANM4LEBNGUBEyiVB5iARbVdAxSACV3A4osPQOa9Qx5c1i1MM7JugY4Dz5zj061zl3bLbPJnSAnQr9CVF5lKlxb50plzg0XefnBNZ572Wuu8uvG0TNtMDXnGjFb2aIW5Mug6gr0unwxK8oWnfLxwnr7Ffp6WPXu8OV44bGQDKT7yx3AFh7CyPsOkoVpLaVOiABwJQMFQUKqYUp0DoWDEzH1ABRhPbRiVuOYeNc9tjFemh6EdegEj/jFq8uATUKVO7jN49uH4UgAjqQPYm8VwWWzNFyfQSP2BHA08Qsv9yTAyCZBbZEcnZEg/QuTqnLzpSOx+yvC66Qs2rHvCgnXOec06U3dfHdop55xBQh9WorfgLdeJ8feU0gvZ+HgQxFDZcT+3wR8vPAvnqWfqp+z6CpOGapwkHVAiB3SMEsBIT1ryAAmlCwGuc8C0buGwS909m/kOOOCAu19UDQ08gFJgUJLuOrSlB6zyJ6QD4GMqwEgBJDCIu/VWV7S7wA6dQYzT9tQ39VfXpK2vekcn+IZ30qIP1wnq3sVDV+7272Wt01TRJmPTNp6WgUbo5u9eo+tejJnz8JcvRsw5L870U8zrsvBuTctXRoZ7QAOHwSAaaavz8QoT3lDxSLpCooBehY2XsNYnHesJPCxPiaxrARnXnMK46eMVPNJG38E48ujs0cp7h+FDzulEgB8jmLTk63esbunwOhrPMR0RLgRxzl2vi46F7ngEdUt7nGcbQvTGO2ZMeECMlvNu20ZTB+XoVbCmyjgyijBoQDOIMVgW/ePpq5t6OchZeefjHUZjqP73Sut412aU9Ag2AmLVnXNTPZ51CPJ0D3nWhSBHWfUhs6deUbgFVUaJkgDTNMB34XlA9uEwXHHLhyQ4TCI+6dAMk3UJnps9P16WtrHUnyJ4ERYw5zZTAN9lMgjwFIFR3B2Vh2G1XpPpWfAAQft4HTqc9R7rgZl6y5O84shd+iCFYFr91JO86Vs6fJuiwcXXv/711vuBB1NC+kn7RtKeDELKkJvyBqBgy32Gyie+edv+5NfG5sMPP7xd55TGgIrVTdzPMHCfeSEUAjWvNnK6Ns/2VMNI0wvAgHI0SlyfAo8RAEiAEQMNUDIoRkv7YizAA5H1JQvvo2kPugwhMDlXFh9HAObcE0NeFnffpkELurwsC7rKp6xF1145r0+ZdXlpCwyoG/n4rI5/TNaheYlkmKDOMQCjkV/Kr4+YnNUxBkPbMoOAd2tLdJaFb+022IhHE+RHB9acw6EYP+nBBaxJs0eLgeSBP+5xj2s9uQyuqeto+I8k74T2qBgplpzSjKL+cYSieAE8kXTC3o40qMAEDm1yBChinoEYgJwDgza4BtyxBKBkkAAMDfSAMEDTqbn3XP+833juuee2/zqSl2AHyUiRQQyPdhiozjvvvPYvxxnYiRzonq66gb56cd29P5bz4WiGv1geXptgjfPTn/50m2YgYNCSdyz8x6vMQE79CEdn+/znP98q89RTT21HmPFW4ngJ8b7oULTQC8z7Kjfa+8OBskuHXC3UOoxopp4f+9jH6jnPeU67TqGu5DwoslZfdWJkPcXicTJS8UK69dT+yKCb3m1/v8/VL3hInDq7dm5Q69a/ez6a+oe+Muh2YzSTBpfycggs5jNQtlNYpjD4Ofod7m3S+12bhj+PghB9bMwc2gfz4330Vo+go9zee4NyHTAEGDpeDp0tno92dIE12vqHj9gRHjyR0JYOlGJyFqxL+N6Sqac098faMUZb55Hk12kNXOplATgjv7JDyWsQ6k++awrxsOWhJ4HMHYxCsLI2eohs0HAOB+qFNxk5wtd99YhXbwGfoTI4JF+buY8/A2eoMvXQafItIPKJoHtBsK6B2cuvV1fuBxS993IdZQOD/K4dQJm1AoCSdl/8QrMbK9Mt1+UT4KcOyrmfURvfec0eHutXBoQunS6Pfp6rK4MuqKP6C9pE9ml/77l83bSxtk05dIai1eWd+6lfW8meH/JOUH/6jy4SBwvydfOn3EhitB3Ko8sIiYXQFOd+6uG+fNqlHY7kd69fYeAMFUEQFMMUT8paVYQcAQYgiQk03kOE6d5YAsChJ07IudiBlzz3FaJkMaMRw+G6e697fl80e+8rG1A67/KRt0s798nTuTZY2I98k7eXR7+uydqUxOjO87OGoq4MFx0I0Udk4Dq46MVA7/VI2tXVNfk4Ql9553iGr3giBu3UNq+DeVhBzmQa77ufbRo4Q5XH0Hl07oVc1h4YgJPgBB0s5+4RcIDqWpA22gBkUViXnnN0k4au816DNlp+/cqvLZGTJ4G2LQj2KSW9X3Xr8qVDMtZZjj/++Hbj4he+8IW7v8tEBzG60bf6S2OwxQnuJ0/SRhKjA4OwAZ8Cvq7Rc57BwbljIgZtYKSsBfpjV7MbG4kHoT39XyXr0SgX1VM/j+0B86yzzqpnPvOZ7WsGQAGE4gAwoxdhOs99ZLvnPWyGvVQmiuFpqA8FZuoRoCePeoTvsEQH8IZ2ehTuKZongdYCTbUz9R6kKpM/GRu8nva0p7WL/95ly8u9vC311iaH/AYbnhh90SF9MXbSRxuUYajQcuAXHOBBjnhmTQcmYtBGy6uf+f1rjsMLzfbhkZd3R7Wt36H/NeiRgNETKAjJPp8TTzyxLrjggvryl7989w7dAFFegpQfMAAKIN0HbMYFcEcT5AdCdJR3AKANmej6TCxe0lzLi5e6Pn0SfQAAIABJREFUTKRAvjqYzv+kJz2pba/BIQPAILWFbNWLUeD5vehFL6rPfe5z7QMA9TTq22vnCaYtLL4qYac1HQkGHO2l0xic9sYIfxg6Oqd7X0Pw2ouO7OmjKVLwGLyob3iPkEXfs8E9w3/KKae0mFAhMg++ya6fYeAMFeHwqKxPAZf/4rPHx4ZPO5IJzsa0r371q+13mgAXYADTqMpYmb4wHkA5WgFHMejY0f2lL32p3b/j6Zj38/BRN6DUcfBJBxitUeyX4tXTG/tk6wlPQto+SMZKnXR6+lAv8lb3pzzlKXfLXv3tDbNp0StKDIp9eNa0PG73msjahBhKNOzlsunUJl04443Oax5GwCGjP9EDbJAxbDPQrgcBDwO3M52iCQowjVTCUMbGKMpNtbgKNAA9t3ktxCsHawvMlunqH9sk0LeOI+ZZASaj5YN5G0IwIMQLIEfHoAWYGK5uOlPqbACxmTW78J3Tmb1BsJG1z7QPXWEojCUP+oK86bQ8LOunVzcv+jJccMIw2vHvHT07vtcUUmdx6iB/6Of+mmiM973wFJOjgV6IbMeb32h2pg+koSKQCO2+hKODed2GEfE+m7ULoylD4rMqXhfpuuHyE3wvMMNPHP7i5NOZGUeG0fd+GEneFWHbhOibUzGsKY9POpg01/gL0jN1DM91BYiW4Rp+8HekrWvIOqFu8Qp8DZMhsUhsX57pTbDBG4rOurigGwMlfbhPNtFN9zxpZgD4+OSOaSHvjoeFjykiPKKv46tTDABaQuQeHcirDoxW7k0owY+wshuEoRphW++VjaKNbPkWFDedMQEWh9E0RqtrQIYCBhCi58g5ZoCjrGmh72RbGzEFsDZi1AZQxjEdwMibKSk6ynfpoZlOkdHU/ckwdgnQD512Ozo9WDqwhAAfpof5fK9d+jwgU3r6VjYGIhiIbrq1cg8vIQaNITJwWpowaDJisAcb/mkIHoOh6Dk00OnFhrRgxvmGFP7gDBVgxaBQNMVKAxjej2mAdS0GhFvOqOT1gAARAADGdQDuvBu6gApw5TEFsLMbH50BfTuo5zZTUR/4F5RVL0bJeeoprZePtMkwdgmQbwxV5E7eSUM5f5TgJVw68VDGwxteuAVyQf5ueWl01auf6E8cQwMfjBY+PC183LfeynDBIU9L4K0rx9iJE0Iv1xta/AdnqMynKTidXgxgFE357hvdHKYARlOjp4VkwjLSCYA5VOgCE80c8rqX+54uMVrWsxy+P2UE9fkWvCwCq1cX/AEmmkKu24vJnzFJgHzpMl4OmZKvdGkMk1gwsMCFRXjGxBSOofLkkEHhgSdvdIceQ+Ra6NWZdPfxDDZMB/FwWKbwxNUgdvDBB7eenXymhF1a6KR8y2gD+/mDM1RAScEO4OgqOwaAjindNI13BSymAEBqlPNtc14WA+YQAAVt5Rw5b282P/gErAFUeAMmj45h9NjctSdQ+JiCGk0zDUUv9Uz58JiMxy4BunGQqSM6zFTbdYwQr4YHZHDxrSvrWvRjWshoeXBiehj9dGk4Vz577sITXui11wDlQdA3v/nN9v1Fi/3WOT2FdZ7v3mt5aIXv2KUxeCX/4AwVFQAEpQoBpnMgcg8oc0jnZbm21uQjZV7CVI7RMgUw2vGGEuQPqAEaL2tPQowMXkZSRxdY0hnG/C8gQHP95zZTQ/wy1UALuJWfDGsvAXqJHqIjeot8gxf3pIkdcEHHjJVpG2zQkek8gwIbDEpCaONFf/TNOKHjHj7hK00eeR08OgOm/Vm8cZjzDXV8LPxn0MQLrbQnvBMPdS/1kme4cinfj/gP1lBFIV0FOQcOIcAMSADGPddGRN6Pb0sDjDRrWtYsAKc7ynVBEUMImOGLj3OGzbk8zvECTHwswptmMFqMFcOFT6/xS5vaBqz+QTNtkJT6iHPu/mQYHwmYpjEmjBad8YYtxJsazm0Gm64xwRGu6CjGLxhLbegoxipG0z20rXUykB4E8bw9nMHDEQ88Ou4ueYRf9B4sJG/6QK5Tl37Gf5CGajwFbg3LwriR1D4ZwR6ZfMI3i6DtjeYHYISALqBoE5sf4Ihx6d7LN9Tz4X2jtKmG/T6MVgydMoCNT6YRaHZp4SVNiBHDszdPm2HyZ1QS6A5oDIjPzdimYrsDWfN+TOk9RBHoIWWcx2DRX66jo+SXTlfS6c1giY/FeIObdB4dPrAoGAClC8oHLzGCoedeNwwKJiYNVVcrYzgHAOACAu+/mbYxJrwgYGBIstbkOgFABGWdx4DJAxwAE2DJF0Mi3bYKC/C8LR2Ah4fPox71qHZ9pMsnAA2fdIpeAKIrz2RYewl0MYEa3cKGDaXWtBgU61gWx3lBpooZVOSnixww4OgdvFzL08WKbRWWJ6yrwh/jxdOCP3y89tT1tJRPCNbCJ9eJk69f8aShWkvJBzAUmkMacDIm1prEgGknspHOKAc0QgAJcDEi0nsBk+uUYVR0CIutjNWll17aAtNIjc/cxv03HQ0f5QV8QqvL271BAaW6TNRAptasyNJUPcF1dGB66E86bIcR6MnDE94WbDBaAlopE2wlLXEGtq7uGCzX9mXBhS8cOLde5okyDxzPDFZ4oOeQ1q3roAxek4aqhcTYfgIWRglgHDECiSneE71LLrmknSJmUyfQWLfw9DBrVgGL2gQgAREjBkB4BJThz2AZKfEBTNNQU1JbKYykFvytkySEpvLhg77z0E7eyXh0EiBbOqcTgTxdR7e5dk8e3o+NpbwtnrIBzVqnAc16ZPSR8uLQwAsNenMEI+67l3zK2E7hbQwev8Gtu9aZBzThoW6C8o5BCJOGai20QLGCON5QwBFj4H6MgTTrCda0AMZhQdziOC/ImpMQuqERA8IgupdpQsAozTkjlmC9DC+LrTwuj8u9pmFE7QKzy0+HmgxrLwFYSIiRiq6SLg5WnDM4jInpPHzYokJPBpmuzkIb3eDDeYwKOtFj13AFg7w9Hr7BzHYbA5onhnjYEZ81VbRDR/36HSYN1VpqIEYiIw/lAosAHO47AqawY3Sysc8TIuD0uNlaE6MFpAGK8kLi0BADFD5A6X6MWurDg/OEyHqFqYY1DN6cjaUMpKlh8nbpTvRz8ohctCVt7I3XRTvpIXxCv9vxh7qffGLGxEK8p3qeIMLJvObldmuQeUtC24RgAj+4E+cenq5Tl16+pqD4wEUW4nn51rRgBJ3Qglch3r/z8HaOd3eqK208w4Q3VJSRoGNbWCbMLjCiqORb13EUOFK+OhWD4p0vC/EMC9ffpj5fd+gugqa92popJz5D8ewFZozj1772tbYDAKoR2xNK3pzd8MCmnM4S4IUO3oCbUbvX+K5ruY6EvjaqLwx0PQplu/ronss/SCF1I2dtMC20f4+3RUem8ab0MGKqqM1dAzLStoSPtySc88ItUfC0bLFBn6eFR17K1r/khQ9PniM7cc5j3EZaj5Hkm9CGihIpM0qKVRd3p0EEEaVEmCMRTr/yAIwFUDFjYK3JSMo1twiqDV1DPNJ6kgGZKe/cY3NPoXzdQbAQz8tiHLOBFSAF+RmuGMrQAkrngxC0S6dVH/WygGwqI627tjcIdR1LHeiOl8Vg2a5CFzwfRssCeQaWsdDulmG4ePn4WEMjQzzmNg9oDGzRd2TtGk7Tt5yPd5jwhopwKBAwnTNarP54KW28BT4aeoyE9QRrF9aZTNsYKh4Qg9JrjEdDu5vXOgU+eFjTIktGK+sW8pIxYJIrOcsziAYghrg7gOlIpk+8Vp2726Hci/HtymR9nqc+vTyl5556krmD3hlhO9Tpy1onvVg28GlgXlfK9dIc6prMEvQfPNKnGK0YR54d2p5OnnDCCe3nitTLAavZ+tBvQ3XPSm1aNQAxIRFMvCmCBUgLyQAYYEbRue5X1bvgG6oOua9N8QK4+qZ/Rjaj3Cc/+cl2Ed6ahfWEoTramoAaGaDvkBcwufoMFE/LO4f+GRn4jj766BaY3H9yZKBiCFwPStAObQsmxF7svfDCC1tjn3Ynj/uR96C0obce6fTkrd4MiXo7TM/oAuYNMjDPE5JnqKDMUAEPcsh9WIALwT0HHp4qW+s0NfQE0UB21FFHtd6W8kJotBd9+hlIQ5XRgHKs7di3RFkJAScBOiLQ3F/f8Zr4A0TqCJiCdjlnMLx+ob2mgWILoJm2jbQd6AeYypCPYEQGevVLPTwNcu1bWkZV04snP/nJ7UgaubeFB+RH26Jv7fnIRz7SGvbDDz+8/dOPeIO91VVuEAPZpz3RCbk7eD0GZJiAEfelK+MYTZvkT1l0lQ0NsxNp6IsFaV7Y19f8y4/NrNZTlRmEMHCGivC4nNxRlv5DH/pQzWuejrzkJS+5+9WBQRDc2tQBULWTsQKmuNdrQ3NNZfHArxfoRlFe1kc/+tE69thjW2M5KMBMe9SHJ6BDZe3ttNNOa9dxtCsdLfknUhzD0a1z951S6UPl6eYf7rwrm+i0q38DmDy20rjPOPLwTz755HYH/Pnnn99649n2Mhyf9ZU+/itka1lzQmOkuKVf/OIX2+9FPetZz2rXceIp9LJQZjyPXvq5HguPbtmMpBnddLIYqdBOnlyPJFYmspG/95qRMmLGo3PfuemndQmLqp///OdbmXfBnLr3M1Yf9VdnXrWNkzY26mjSBW3uxjkfiexGmqdlsPqny2+k5YfKN5J6jiTPULTJJumpe67FjH+MVPc+j866mD16NhoLwVby9SMeOEOVjuIJiEft9gYBZQBLSF2BryuhjReP0FHPtK1b5+794fJ08w91jq4DrdDoXktjEBlGedxzDpQMFhffwrQF/kELaZOYB+i1FEH900b3eAfidXGEDx7rks+6qPuaaDJAuZ/BK2thBjEbSOFD+/sdBm7qR3AEY77s8ETMdYTlfix8N228BNmliZfQO3KPF6/1SSdtwVMbGX+d3QGcDJnF2xiC9Vm3NfGKPsTW1yz+2mahzt17OQ+t3uukjyWO7IKD0BhPHqHZr1hbyDRt9TSaseptc7/qN3CGKsr3NMqmNI9Ps/+Hu+p+V3gEmzLjJUSGEM0u3XXBZ7zqOxY6QMlYaZfPiDj3hNAImqdDY6E73mXSccQeoZuO2HvmOltWunqKl8AAj1fgRcFcl89QaePFr190IjszGe8oevqc2YyHFv0MAzf1izDskHVYlyCkCBFAu0bEtWO8QuiFhzhp48VjUOholw5ov5U3/A0MkfOg1JH81clhg6Dp6jnnnNMaV16g+92gPeNppNBGr5fPUGndekzEc4MXj/Xss89uN4F6s0Hf67eRIsuB9Kg89fME4pGPfGS7v8gU8KSTTmo7VdcoAU/Xu+oFUxcsyq3pfjev825+PHr59uafaNc6Pq/AIrqtCk972tPaxdXx7uTjIRd6c3gi9sxnPrMuuuiies973tMakLSDfnQ0nUreeIvjxZ+nSV5ohw/e0jekQI481iOPPLJ9qJU29xsXA/kHpADgIBwvWH7605+uq5tXTxgwTwPtugYYr6GYIhIuwCjTNSgBkLyO3JPP9VCBUaIcxhEfoPSIlncXsLovDEcjfMRD5Ula8g1Vj3Wdpp0Or9aceOKJ7foPuWijNqeO67oeI6FPTtGZOtvBba+Z6YkNkb4D5aNylggOPPDAsp3FJldGS15TROWExLAVuvSJvnYnLXnJwYGPTaY2znrJFx970DwdUxY2IzP08HGEXmQrT3i7l2t55eln4KHyqr3CY/qvfkLaNd51m9Cv0BAGhRFSrDh33zpK/qnYy5wMly8dAo21Cwt/gGl+rXxAIhbEMTDuE37AEcAkzWjsReIvfelL7dMwazf5NId/RJYf+OVHC12K7dJLujYkX+qROgUIbQX78GNXvPbkMbX6pG59qM6wLNWrqzMZGVRyDUZsULRZ0Rcr5IcNhsRG2qH2AqEXAxYDpe3KopsQzISPNVMvmucVF7hjGG3xMJgJ6oZO1lRDC8+h5CuvY6h7Kbs+4m79tFudgt91wX+DMVQUBzQERvmuAxjbF0xZjKwerduwBpQar/P1BoKnCOUDii4gk5+RkiegAUibIj0aN2qafjCOvgOFp9AL5tCSnvomTYz/ULy7edbHeeohJht1SrvXB//R8FDH1Fc5dWVoGJl0KufaYZDxWpKnmDxw3pWBJp/AUR4tmAoelEv58CEL6fRO17ARDBo8rZ96kwBGlOWd4mHg5J2ET+ilfGQsXXDtPOltYh9+tDWhF5+918m3NvGEN1QaT3FRJCE5KNooBaABAsAYRb0Rbt+HEY/7yjW3OdDm0YAxhoNCgALNKCfXeEhXJvzc49HhA5Q6gWkhYFpH80ifV5KQuuOnvoK0Xl7J3484dYxsxYL0nPejXkPxTJ0iQ3F0ythExuQtMBoC75q+4MI3oOSdO3du+20whguGlIm+0e0N7knPQOlcGTzggk4tQPPwDWjeQ5SOj46Ij7oqr6x7DnSDh8g7cW8d1te1+qQOYvV1OE/6eNZlQhuqCIZAnAdIBJVzinaPIQEYQHAPGHhXPgPL22LQ5jaA2X///e92zdGRPwEdQXp4oyPgg650ncG1e0ZYhtGjckbLfdNDX0AwDWAcQy90WoKdH/f7HdLexIDqvCufQaijenXrlPqK09npJE+ncp/Ocm7ZwJoWnfGCrEEyIl4C93TLQBOdBGeuHcFAZNHFBfylnLqYgvLyfbiO0YJR3rcBjacfLxyt0EUvNMKjn7F2pO3rsl4T2lAFeJQnAJpAYBEgAyQAiTRHF5QxKLyrAJNHxCUHGusK+Rt3dLrAdM0YoSeOwuJd6TD4pePw6ADSNMDI7Z6nJt5Ct07SnYZ2DeC6BIA2jCSoa4L6ROZJG5Q4+lGf6MM5bAQfuScWpGtf2uRcWvTHWH3jG99oF8mt1Vk2gA9GywOa0BDTW/SNBiy47tZFPrzcd8Cochbf/SOyh0L4wIa1M954rxfeb0wEn8GCWFuEdVG3CW2oouhWOs1PgBaBiSO0CBIInSdWFri7XhBg+lqApzdGX0ABTEcXmN1OgQ5+0mIUA0b3wl8e6Z4wASY+jCQ+pp94AGemq6Gbdrhe3yEdF1/1SLukp1Ou7zqtiZ96CV2Z5Tx6714nb8p129TFEM/K5018A4o3zngwVj4dzXilHDrBVPQdvq5zTo7qIS351cVXQAxmPHA8Lbzzwq1p4Rc+XVqhk7YklidH8ohzuDeWoHw3dHn03uvmG+v5hDZUGt0VdK+Acq+bDiTpaO67173fFaQpAA/I42yvCVhsndtMD7nm4hg3NNFCV0AvfIa6B5RCAIe29RF8gFRgrCgHMPER8EAvdUYHz/BtMzU/0tOm1Kt7nfPkH0uMbmiPpfxEL2NwsdbEaMEIY+IFXVNEOjNYJURv9ET2wYZ015Gl/K6jHx44bNhky3CZKtpWwWjxtrwm1Kv7eHShmzp0eUpTTloMZHgm/6DFE95QrQ+BUqbpoBdxrWlZbLUnBlh4QPaSWGtKAJaAEggF10MBM0BzzzTBoq5poU8Re1pp2okHb8uO8O4UANAcDFnA3gVozsNbO+TrdqLUeTK+twTokD7IyoBCbgxHV89KyGdwIVtTNt+jZ1zozXqn5QPyhxeB54xeBh/lHeEznPHA20MZ9fCgJoOaKSI+BjY8XcujPvjCwJqMkLxrut9WegB+Jg3VCJQAXJmKUayDIfHNI6Oce4yJtSaPt7tgBkIhoAHEbuiCxDna8goAD5CmAIwWukBpywOjlQVheXUqtGOE8A0tdMNf3i5P15Ph3hKIjsiMDNPpc01+8oh7ZSmvwQY2PKQxxYcJe6dMD51HR2hE184d8bKjO/TwSL7UVF74wMfygWueHIM1r3lIY80ztFJGjG5oi1N/5wlJy3ViPNwb7n7yrYt40lCNUKqU5Ogqn8I8HeIB2Y9jOpC9U7wswGRMUjYKDo2AplsFaYyOvDGOjI7RmsEy1WC0AJ6XhYctFsCfsujhgYZDeng77wV9l//k+dglED1H9vTGmFggt95pKcEXPhgTU0RTtwRlBbrJuWv6cgQzDBdvrGvA8OFlMYz4wI+BzICGF3yEVrdccCENz9QbVlwHM4nlU79+4GfSULUqXPOPtSlGg8KirCgvIBLbNMhoAYv1C244sNiKwLAELOIABjiUBQyeW0Zb9DOlc+4+gAClDaWMFj6MI1Dm6aEphvxoCgGgc2mOfgAN/w05RN7BhbaSvUDedEtf9Mao8LoYLQvkvGRYgYnkDz00ch5jhZ60rm7bgs0PuvBh4LTuia+PB8KHNTT4giE0lO/WVxojpx7BO7rh736/wqShGoHkozxKpWgKlkZxlM5rAqIo0uNmU0JrWfbI8IaA0iI8sHiJOqALCNBGK4YLffdiuADOPbwCLgbUiA38Flud8+SOPPLI1tOyD6fLJ+VG0OTJLKOUAF1FvjEu8CBNx48ekLXWxCuGD7qzCZTe/IOMhXI6Ds7QCq7QCg908MyAJ911+DiHQbRtu2Ec4ZInZ4OzgROfeGfBcYxXeOKTEF5D3UuedRVPGqoRSJbRABzK7wInRYEk+7UoX74ARx7TQ+6/tQSAsH5gzcK6Fm+oq3j0u6FLx7lFVXXJYqy8+AGRjaXWLPyNknpYs7ATHp/uHq0ufWWF8BEnpB25noyHl0CvHF3niPFIR3ed/PTN07IIzxunW8ZKxzS4efeQTuALDrsPU0JXrdBGK7iIHqXLZ6BD37uvHgrZZgMXDkYr31+XX1DeuXoq361zaLcZ19PPBmWoCLUfQhxKVzE46tOtkz+hYEhMEz1JZKiMctaanAvaASQpF7C4B6zSMy2UxtDhF4OnLB75T0BlGC3TDHyyF0xZeZXDAw2AlF9aDvkmw5olQH4J0Ztr8o1cnZOv+wyP8+hMzJgYzPJffe7Tm4c0Fsh54t0Q3aHnXNw9R9PAGB7oCaaHXuHBhxduUJvbbLexTIEPTzx4Eju6eMNjfYcJbaiAYzihEW4/A3AAT+oIJDlXLxv5rGPZ9GlNIWsWFGJ6aI1A+YSALWnarY1itAMo58mrLNefccTH6xqMkGmGb5/z6pSPYUJDWXFAnTp3aaIr3dGb7t4feiCX6IZ86ayrf2ld+cWYdGVp2ma6Rm9wwlAYyLzGYwOy6/AgbzTwQLsb6Fa6Y6g8vH08TEGtaVkrg4+DDz645ZeZRC/dLo/1cT7hDRUhDSVEQOhn6ILReeoIXEIXlIyJdQt7tCyCejrEyzrssMPu9fqEsg6gE5x36SStvdn84Nm9D/yMld3VwKm8P8SwdmaaAZShkc6mQwipv/N0Mudd+q77FdRJR0wHTr269e5X3daWL3zYVEpn1rVsLrUA77CMMF7BuhkvPMaR0bIPjJHI1BAvnh8vDH4EeIwxbhPWwc8GZ6hioCLEdSCzEZGMMUnmdG710nkSxxDIJ80IaCS1ZmGEsybB9feY2a5kgNEJAUOcdqZjunaOHz7i5Akv1/b3MIreYWPATCt4cnmcDaQJoZVrsTRhUAyB+jBUgmmVPWfayWPgvUYW8uWIzNpCA/aT+tIzo+CazhgJywYensAHPPB+rDVloBlNU9DFg6yyHcZDGtfoW1u1pmXZgBdu/cxTRPeDwcTB12j4jzTvaAzVwH2KWCMJuhsIUOg1FN08/ThXT0c6x1D1Sx4L4DwqXpbRzXqCAxCsMdk/NbdZU2DEQiedL9fdNkpzP7JxDy3Ac+jMXH/7cHh11igAHziBUnllU3fl1RXNQQk6i3qSGaNrtzhjb9qr46lvbxik+nfrFiMQw6OewQ5jZY3RPe21IZhBMV2jt9G0icwEWMBTWTrGC23pMOb6ouaTzrA4t8EdbBx00EHt1NCg4H682W47+nU+kJ8iHkoYhO7pWD8D5TkE9REoXwAIackTcIlzD2AAJbEOyAOy2AqY7s1tQGN6yNNyDSxdnjlvmTY/rtELj/AN6NXPEyjuv4VWL2fzsI4//viWV+ou7qUtrZ+BPHlOPEEe6bnnntvWPdtB1K1bZ+dpfz/rPRRv9XLQqXpqG6MiZowYB/cZEbpzjyfe1f9QdHvT0ECf3sXoxCsVoy0dT7wYf4Ma4+hBkH/MtmTA44s31stjvK4nvEdFeZREUDqwT7+az5vOEPIghdQHQIYL7gVA8jsACGgBh+sPMAwKT0F7Acn9blAuo2OXpjQy69Yh9cLHlAnwyC8vZHtdKB8XtNcHsMk8QO7y7de5NulM6n3BBRe0I/4RRxzRyi/t61fdxsqXPqLHsdIYSTl8gpVu/uBQGsPlCaTd9Dx6357/zGc+U6ecckqLl+ChW75f5/fuCf2qRYcv4Qg6lg57ySWX1Lzm8ap/H7E3pNsZO8UG+rTbqVJ/ac51RkbC4ZzRyqjbWy5l0tihrnMvfFyHToALoPjw5MjXTvgnPelJdxsAxmoQAiwwVIwrmRiBBW1Lm1JPaQ5tHNSgfvScusZo5VrdHa61r7eNI22X8pEDTDlcJw4dMpWXN0fO3rbgcZsO+szNoOBAfQfOUMWLsA5hbcXfZFnb0bkoeUMMXWACTC9A3R9rCK3QcM1TxccU0xPCj33sY/WpT32qnvrUp/4v3mPlOx7leJWCJ2Rw4cmYDqdjdT0/bXOkc44H76Fo4BF5DnWfIXB/TXlSLnnVuVv33vOR0ApNsfIJzrt8wgtN9xyMJadAPuuAZO4JNflKG5Q+N3DDD8ERoCcTFpkZKdOhQRFYQLC2sTYKATZQBDzd8+RLPFq+oZlyrtEHWl6V2HTKvh5PgsbKJ/TXRUz3DtiwZpXBTDukJaRtBjVH2iLOefKOJFYG/aFouYe/g+fXrcdwtGN0xGmTczpISB7X3fPcv69YmRzoklW374Rm8rgf/taALewnJD3X/YzvkVA/a9HhTThAYG3KJjjnrDuwBBgbQhygpC251v6AqSOW9jR5RxOTn0Po8iBPvMiWp2IkNQXsgrot1McfA5RgHcXXN+0J4glqP8Og/pFFcKONzrXDubacrpa9AAAgAElEQVSn3aNtCtrKh1boJMbHefh1DdpoefUzv3ZqA0+KzD1tFCyuD0oYuKkfgXH1ASTuJzAELAGeWHCvNySP9OTrzZNyuZ/rocp073XvJz00enms6TpltTf1FTukJYS2/CmTeyOJUya0cx0e5KrTk7U8zqUNQjBF5UHZ52P95N3vfne98IUvbJ9KqWOMberr2rl26HzamnZGjiNtl7JkIUaX9+npo2teR/igFx7iGM6R8ul3Pu3hERqkPFXNH6saFIZ7l7QfdR44QwVQ+dKml3E9jQAKwozLLw8BB5C5libkXtKHEqx7ySsGsO51e7H6J3xcAmP4hEY372jPQ0OcA42kh17alOuxxqHbbYcvQXD77aVJ28ZKfzzLxYDS/eGHH96SPuecc1qjGsMqkRegPbZ0aJ81rHgJ0hkatMYSIvdszPQENS8VG1DR5uXhgze+kfFY+K3vMtqnbepvHxU5k9VQf9q6vuvW5TdwhorgCMrOXIu8559/fh1zzDHt1KRbcefyOnpDQDrUvd68uaaoNYWM2skTHrkea9yt43Dnod29n7SRxsOVtenUP0J738xi6ni1a6T1WlM+MufJ8KwYBGtp/kHIfjDGi0HwTqVNoKaGDK1Xh3y+11RWHgaYbg1yw8lgTXUgD4d9XF/+8pdbD8+GWt+CUpfUES9hrHzWVId1fc9iur1ptimQaYzuuuY7GvoDueHTCGnkssD7xS9+sR0xvVZgpBSAA3gCQoYNQAjcuXwE3mtcegWDhvzKcet1CqMLkEvTOVzLF28uYKdM9PFC47549fLu93XASIbesD/66KPb9pIbD2EQgrpER/Gg1Ls32DjrfUc78T1aZ9g8iPFOW/eLm73lRnOtLjwoa6f4wKbd5PgwXIzjhhDiXZH3ULIezzaOZsPnwBkqxkKnj0EA1IsvvrgFx3nnnde+B2U0c+hQ8gMRo+JQjlGR5hhO2IwLQKcsg+PzGLZEGLE9bbSXxNcILDbLH6MV2om79R1PRa5LWupMNjwpn7UlZ2naJB6koE7Bw5rqpQ2+WJGtLYyJZQQv+nqFydTQIJRAp+jmkI6XIC3n4Z868J4sNHurAF7gxh4/eMGH0YItITS69HKuvu474omFV1u4Dz/d+q5r9hPaUAEPBepEFBrX37Wt/r5s6HUQRsrTCe63UY0HlDASZSePmIEzggi8OdMJmyHtFDcdYqyMzHPnzr0bgOE10WOyZqQj73SYidou+ImhZUAYE6+HeKLFgHh9iAeZr2FqJxnEeCgvhIb03JOejiyOzCxE++qrj9gxlD7dYhrKaDmXD10HnIlTFu1e/u45BPc31DChDRUAZDql01BqQBNjxGABBc/HFzAZrXnN7nVe1tzGmMgXQA2naMYJXfmcBzhAkXS0ufl26wK90Tl8GMnQRiPnEwVUOocg1nYycPA4JlpbujLXhoRuh6dLeOFt+VKB99lisLyoLfQaDHIIjeAptCM/18GnNLvorWfBjKkiPvnya6ahwQvPTBnlg79ePtI31DChDRWgpaNQWhSZ8xgrymPQGC0uPoMCIDqaT6hw930lYDhFo5eRTZ7QR9d1+Lrm1cU44sHTwscCpPWJ/COIvBMlaK+DvDNVJncymcheFV311j+DHb26z1DBDMPlPULroXboW9PKl1KDj2CRXp3nOvKT7jz3gjeelaepvH9enXc54dFiP28Lz25Z513a3WvnG2KY0IYqSo9iXAuU2HsvecTAaAQzZeOGA4YFePtvjJx5I1xeRqgbQruXftIDPoZRWviYUsTTAkDrWqYXGWHRS8fv8kWPgRA7Uh/nvXXo1nNdnPfy671eFzzXJU1yjUesLTnHk5wjY7E1R8bEVN/ncCyU85i9pM2odNea6DHlYSDn3bYkzX1HeFrst6blCStsuub9ZxEeNoOZlOnS6PLYkM4ntKEaiyKACPCEAMS6AS/LaAaMvpqYj9V1/zOvWwawuwEttJMnYAoPQLcxzpMmQLcOYg3EiGlqaMNcFlWB2IGHET/n6h1QuqejZb2sW5fJ85FLgBzJN3oSR7ao0GPkLj2DCU/Zq1u8ZummatY/6ZQxSTBloyM8eGjo0/P/b+/+WW1Jqj6O3+cNKAgGZsdUMBA0EEUZZ5QBwUEZE0VMNBEMRF+BGEw2gpmhgWIgDKgoDspg4GiiqeGAYOSLeO6nx++1ZrPPOfvv2b3PrYLe1V1dtVbVqlW/XrWqurdrIf741LfVRR5Wli0VdJQueJACRiDZJks0HOl1vB9T/NwBFcXRoY6efBSJclAMCsjSoiB2OlMGSmGVxkqQkGIUK+scvRQOrRSuMk0zUkB/wOAJrRw+dlWbIqbogKh6oYG2vHih9ZgVU3svFeq7+s+1kLzrZ2keQHxMpoa2PQAj/acfPYQssGwL6aE+TY/EQv2MT7rJMseHbnrgCf3xAz49sKLhfvV3LoztGvN1Lv9mmXdLXv73uQMqnaIzxDpOTAHrLDEQoEicnYALaHGw2nrA1KeE/AaVT7GURbvrFFu6vCllCqj7+Sf4QLzky6pj6puG2goAHNEYFUhZofTlYv6sQgLApH5kOet31o9d3Fac8zVV2VZQ05Pi7qdf+r97aAIqesmdQEft62OV852x6uRNF/FAJ8BDazPIK1TOdfw2817q+rkDqpQj0KhDxQ4gle9CpzrnHHfPU9M3mWx8ZP3wHVgFoih1rHwUw7UYsGRJ6WT8s4bcV4/S0TUl5JvwSpCyfFk6ydPTSqKgTpWt/HJj/lxMAvpdv2TZeOCwln3bnBVkumfRxvtxXjkZN8rq58DIA7JrfRuwjHH6SQfwAYoech547uHBp4XPuKDkHr10OE+H0lXCi4+0NYXnDqh0jkNokFMyh07SgQKFk0+aTqNA8svHwvJPLhRDHqDlPUNPTdZQIbopgliaMJr+aFSXyrqPj69rempaOTQFBVw3T7dVsO5mWJcEAEwhvXGtLz3k+JqAl6mhBxy9sUer1cP0Utn0cdShaKeX6RLdobdZ5/5k1GqlfVn2Z9EbPrR0JiDEpxCteE+gSjIXiuukQEMH1Skpimvn7um4js0q82F5kvU0a48Wc5/TM9CiRJQJHXTVQexpl3Lj6Qgoy48nKwsP+8EoYHxungIWRWxKoSxrrTC2dWyb+9qWctb+ys14fwmQb33bNMt1IFK/WGHmhOccN1VkabGWWef6ko7Ub/UPGvVXfKTpN/m7ly7hj4+HKWe/dxtZ4/lA8RMqhyY68ane+0vhfCWeO4vqXKI0PWT5WDlkaVEiTzImuJWgFFA6haIkFINSBBTSnIvld08onzQKiA/gAlrSOFPx8U2uaEcn2rW7+w0c6SOf8s14PwnoM4EsHfpFv9WP5O66/nBNT/g+bSzVpx5A/JKmiBZuyou2/AIarj2U0AZK8XY/3mNZVhxHv2mocyvZ9MXKtofpmFd512ivKUygOqI3KEhKUmdTKCY4IGHu558Y/QZAQr6UjFKMCu0ea2tUFnzKp8pWl2xABFaenKaJfBL2aJmG9pdKylmZ8uSm5Ck8GpQdn03a7j2GULseqi1kW5/VV6Z9zskeCAjpSnnl4Wti/bC27NEyVbNow9LSr8qPQdsKzkeAyiqnZ/GQNx8ovfR6GYuOuwIIeNjRmeoWbfE2OZZWPOY/x/kEqiOkSjl6siEDeAopDuUwZfPnE6whe7TyM7GAAIhAyYFPgFJaCo8epXCkgPGQ1/TQS68UncOef4Ilx9x33vRQeeUopHOxa2Gbki43ruQnoCAzbdM3+qT2asY4cNfYLPW24dOiDevctM1KXm9P2MaSg1z79Jk2aftoJY9tQ1MY2y7NCiUfqH9fpnvAyo57fjNTRfTIDpDi6Vy5Hnhi9+QrfeR7yvMJVEdIU8dREB2moxogzikRU34cJJaUPc1YP0CLeQ+svN/V9FB1KiMubCqZ9FYwR0VRhv/D0rWphSkp5cYjx2o0i9U3niOf7l9DTN7aAJgMHsF5YKWNhdo4pnVvLXG6ZFpovx3d0RZWD/+nKaLd8IL0dGDX+qNfOTG9pDOmiOTHovNA9aDrtS/p9B1ojQ84tO4Cyl3rdFe+CVR3Seeeew1w2XS2DgNajqwjg0d6sQ5WjkJQDlNEZj+Lh6kPTCiJMmhQQPSUdwjKS++8WJnOlQFkfCAtXzP1gRYlB4ysOzQpIOWr/ELkyn4MFG0hm6wM8eYAcv8a2+lLHcCK3njQiT3o7LejM/r7FIGO4MPaAlz0jJ5wXbC4BPpC1h4EyZv+uz5XeDRAdQkFxDO+xQaBcx3ZgDBgTAEpUwDTPZ3utR1gYtpGIT3BbBLknzAVTAHQFdBuMDZAUxrgVH55CkCPcptOeI/M9IIC+hImawuf6laZbXHtLN6W5xJpBkrgTLZkYDps6qTd6ttBLg6yu2SoPtvq4J5QX+sb7bJnz4ZPOsM5Tmfoi48Zco6Tw64BD/TFHlTk55pc8MltAbA8VE0HX3311ScvvPDCstXBlhn6moU16tuuddg131UDlUGu83SiDiJwwi7eVQgPkU+dAqfb+GkDC4jfgHJQGk8xhy0P40qQe0J0oy2dwnS9jRdFxIdD1bTCoPZUBlicqxS/8uij6dpBeeVXVzF5ryGoj3apo/pyTPs3XwNaPbWjowHl+tLhtjpoh3pqi7a5pud0Hog4BxK1Gx0Pm9vobWtneqJMBz6ARz9L07/S8HLeA9c+sC996UtLXaprct3G69i0qwYqgiQkVkQANQr3WOFconxKqdPb8Gllj8ICEApiVa89WuqYkomVo8zksU1xyptyuebsB1gGt3Kc76w5ANkmQRZZNJ3zv+EDBNC6dABS9MAg85XXt956a7EWTVkM7McUtFXfXkru3jnksuAL/cpXvrJsYKVH56zPVQMV5YPwOs1ANpAMHNOa214GXbvCagdF1I6CjaX5DYCKa5YPUx9wCcoJZKE8WewbTJUoHweuAy0KwqfFh4auoG7unVs596m/9quTpX3/PuNPPpoKsT62BfU/ZbhtoB7KB73byt51b9c2Rbu+dI1utF17GAH/ggep/ifvn//858sD65VXXnmPvpb3lPE+QLW9t09Zmz1pESSh9SQlYAPad59sbHN9jSGFUXcKQVFSII52g/E3v/nNkx//+MfP/BOmbYCEYt3XbvnIjIKyjICaND4H/EwhbFa1B+y1115bfBPf+973lpde1U1esXAIIC4Fz/RDNn2JQhsD/Oob2/tkVL5d4+iNfErblcZmvpHWPvc28952Xf3is+16czrZlNODywPsd7/73eILJHP6tIawOqDKmjLAWAN8EhyMhGsAXlsAEpRGPHZ6ikRJHAafncX21sgLLJjjgY92y5fijXKQ30FmeAB1U7l4KgMYlWeVvvjii8tWCk9PjulPfepTS1l12kZ/5HWJc6tW5EEHtK86qm9ylD5en7Ke0Y0v2vE9JZ+HojXWXZvoGN0RuAWMQWOPW2ItYXVARWAEZ0/Sm2++uUz5vv3tby8+lrUI7aHqQaHGwXEfX8AkjIB4Vxn+MjI27fzyl7/8bPECz3343sXjmHvVgcUJUA0ee46aqmzWc1957Vq3h+Kza31Onc9DLB+lBRmWlEUe43CcIp6a7z70VgFUITyFyJn7k5/8ZLEyvv/97y9PUlOTXQfgPgI4d15tGtuHn+vNtPKNVlBp8jq/K7iffKJdPJYdadodzSn9s5/97Mnbb7+9bJ/AY8x/F8+HugeofKWAhel1IgNI22qverjeTDu2ftuAX9qp+Rxbz2PL1x6vZXGzWC3enB4ey+PY8qsAqnFgmJ7Yec0f9bWvfW1x+AZexzb2UuXH9qmD68200jf9Q7flvast0S7ezFs6BbUaaJuETykDgTU9ENTT4LE3zLT4raerfrYmvPzyy8sDTbuAlXzaAkRYW6cM6KIfn4Dq1HxOWed9aWmTDcq//e1vl/63aEEPxwfBvjRPnX8VQFXnaxzheI3AYTMaRWV+7uJQPrVwHjO9nqKACRBwWAdga2q3vqcfNsv6lMkbb7zx5Ic//OGyB4jvypTQ099UxfYOebXJoY2F2iZ2uOeQfxyQlSkfvfPgxIt/zztz/DjSgZXyQvTjJ45WvDbzxKN8Y9mHPAdKfKRW4TwEWg1ek4FwEFARLMvnVGFUFDTRZ4LaA0RB+1LAZr5T8X8e6TSgAYFtCwa2sDYZN5jFLL9vfetbi0+Nv8rOai9t237Bd2Uqa2vHzc3N0g5fvNAe+jTS0U4g4x45ZMXKt5mX7lnMsZHWFhlgaC+aRQ++HHJDC/2Ay9hAO5nisY2PPMpdOqgDF4C2kYW6Smt19dL1w/8gtNEAnyH55je/eVAbPBHtGbotEJbO9uleK1KepBRohtNJoEHCof7W0ymVrRCCgemJuoYBpD7qMQIIYKUbbVf44he/uOzI71tevlBAb7zk6yG3be9d1hY9c37bQ5eDmbXGZ/PVr351+b4UP5kH6K9//evFsvJlAt81j0aDfJSf+o9ApV2FgLHrS8fJmn6sKfzf04rtjQCeHJ5ktuAfEvgbtilQtCjIj370o0VB8LC3w0GxDqhuZGf8XwkYRGTsYcMqIWOrrd/5zneeLWasSVj6fASArg0m0xNgIrB4vAPYO3OsclM1L/m2cNBUEj3l0UqvnDsCcU57AERe+Dh3zzSQFefDeF6L8g0xYMbHB/A3t9HgFVChBRzjj96lg7qM7Q5kq+O56rfPhs+DgOpcFUeXwIRMcwry+uuvL0+xXv1YMsyfgyVAxqxin6P53Oc+t3z6g1KuydTXOPUcB406unbQjxFgDH4gZOAHBADEaqEXtpXVXl+zYM3zgQZCCTLdQz/e9C/gQtc9fMWu3QdaLDlTaOWAIkvLv8j04bqx7vErRmstIRkUnxNIrxqodFhK0rmnv2NNHboWxTqkHuRrkK5piretHYAgkEgXxPSggW9zorYAD2na5lzZgAiosX74mnzRggXpkziBlmlk9KMb4EUPjfTPOVAvDz4CHfU6lK9ZmCIKvv/UH4z2rSk0A71zAsFSgR1+1MdRGGVe2jniqweqhEJ4lCMhpijdn/HhEhgHNSrJ+nCKpy+pTnf1/XgvPdEuYbwnLWvRdA6IAKx3nn6E0LL8h5++WsQJD1Cy2pUPKJUPlNAOFKXJ55A28uTIx4fvzFYbfPHwYrjpYfVRprrfpt/RxVvYzLd5/91cu/8qXz2iHc1zAulVA1UCG8VcWko43pvnh0uAUo6K2fnhFM9TskGzWb/0Iq5jPueOuwYaXxOfViuHduiztCzg2GTaVJLebfLGU1o66dyBZ/nj7ZUm/jL+LNNEwdcyTA+tZAK5ytYGedBBIzrSRvpdu698150vCQf+VI9T0LqtClcNVGOjCKsOLB7vz/PDJbCpgMn6cIrXW9JUzmqnvWT+P48l5M8XbEPgJOfbGhd/5AcuwghKDW7pm/J0LS8w9GK4lUlAyYIDWgCS43/8fI38ymXBOQdK4jFIkzcLsLqNedZ4/qiAioBThjUK+1rrBKhGsKL84/W1tmvfemu3aVmvjJABIPJKESe8qSEgACQAhYN8XNWTV5kAZJRjeuue4J4jIGHN+RMGfi2Ofz5DPIAjPuVTBh9BmmugJKCNf3VYEq/k56qBSicIBF+QNl6XPuPjJLBN1sdRvN7S48Anl8DFtM1qHjDxzXGWFSDxBwnAC3BUVusDDucBFXrRlLdtD6aWgpVDoIWP7SJeyPdqE58WHt4ciA/AwiMQG8dF/VndF+Ir/rlqoEquCV1HjOfdn/GUwCkkQLdMx1gzAiAJBKJv4AMIXxawQdZh0yfQ4hz3xdE+iZK+ouMcLTyUHy036egCM7E88gMtgMjZbwoKwPjL7CPEC8/qp0zllXUuTKCq5x4wrgMfkOVk9ZxJADgEUEDAuYPuiW2GBQQBgPxe4bHdwaZZVhf/kg2ftiMAk81VvRFEgJYDTfncs7XBeVYW3oDN5lU+LS+Ne+fQHi0bWK1UAte2RlzjONnbotpsJMERomOGKYHHLgHAAySMA8do4Wi7NKABxABD48M9YwRQeReQBYSW/VK2ILR/Sj4h+u9evVtW+UAywOIvCxTL697456L8ZKaEeDjGPVrjuMWzazSiK13oXnweMt4bqDYrNzZo8968nhK4hATWMLDGdhsjQgO/ezZ7mhrao8Xq+uAHP7hYWSwt54K2KA8kogMAARZLCyA6Ahn5AjPl5WFh+YMQG1ltYPU+rO/J49PXOpWPRnyUD5jV/Tagqpz85wpHA9W5KjbpTgnsI4HbBksDcB9ap84beKBrwDvG+lotBCSsLMAFtDjImx6a4gVWaAQYAGk8B1hoSxfitVw8/fGZGxtK8RGbQnL0f/KTn1xWDuVTL3QAlBjfLMPuxbP8xfidK0ygOpdkJ90HlYBBJIyDqAp0r+uHjtVJHRzjYA5oSnOfs972g/7b0bXPxACtce+Uspv0tAsvB4BxvyAtPu6ha2OpDawsO9NZjn5fdzA1HC2tgA9woTMGPOIT/fH+qc4nUJ1KkpPORSXQYBkHUoOoe5eqoAE+BvUBFgXnBrl8Y11ZNbY62KdlFZFlZTXPplIHQAmUitFEq7Z37r60wHF0rJsO2gnP2c+as5HUtJDvjGU3bixFY1PGtWNML+1U8QSqU0ly0rmoBDYHUBaFwXPOJ/25Gg1QHK3ssbJsc7CqxyEvmLbZ9Gl1j0VUIAsh4HA9pnUuj3Oyqjzapob42A3PWW/XPT58W2QZsCpfQCd+pZ0ynkB1SmlOWquSgAFlBc5XE845iHZpdJZNIJH15Hoc5J2LAZVYXkCCBkuIr8neKf9uzREvzYbPz3zmM8vrPNrKiR6ooOG8EE35yMhRHsCYrLxr6FUh00O+M1NQ/4xsBVFQprzRPlc8gepckp10H1QCBo2BXfj73//+5G9/+9syZeKPeagBFf9TxNokqLvDNVABTA5TQ/ulbEVwfXNzs8SbU00gNdJAJ+ByPvKp3tL4qeRjzdmj5R1HVhxQzG8mH7kD0nPKeB+gOuhTxDV8xlMC55QAy8lgFf/qV79aBpZvSH39619f/vjjnLx3oW1AjwN5GzjcRWfM79wBRByAwhFAbfLpWpnxHL+u412e4jEPHkCfo9+f/bLsXnrppWfguUkrmg8dr+4Lnw8tgMlvvRIwsFgbf/7znxcfy6uvvrp8K729Ruut+X41004BKGjvaBltAsWYdz8u/wMwPOInBlYeCP/5z3+e/PKXv1yc7i+88MKz9CXzGX72saj+N8k9Q0UmySmBYyTQ097qlWV2K2KmKlkZx9BeW1mA1BEYnbqO6Drig75r8mRV+Reaj3/848urQfaBbYLkqeuzD7059dtHWjPvg0rAU94yu69leunXoOI3AWBrGkTHCoUFpT0sHW3sWprrzSBtW/pmvs3rZCYez20S5XAHWOTsGlABrrWECVRr6YlZj60S8M8yBpCBBaCyppoebS10pYljm5qejWnAKZAJaA5p6gh06HggiPGymmqPFbBaU5hTvzX1xqzLeyRgQPmAnH9Btmzfcn6Wh8xZFmJA5t54vzylNUjHuHtjXrTGPJ3Ly0fWfWUE94vLu2u8FPwvjcqUNtJ0HlCVb594pNm58sA/QLRlwT+U+6cebVxLmEC1lp6Y9dgqAU97e4l8VO4Pf/jDMniyABTIshA34Aw61wDFcr/z0pxvHt1r0LvOituWF//u4+GQr/pslrnvein437aUVx0cmzS35a3MffFtZaWzpH7/+98v2yLImyzWFOaq35p6Y9blPRIwWDjP7f3x5Uv/0Wcq6JrvioXFtwIo2gDKCrDz2j0g5RAaxO9hMFwox1pC2ydU+GjQ9E1z1/HIAqlooOa6OgQw5Vl7rL7aRW7+2MJH+jjXk++56r/Pqt/0UZ2rFybdoyVg4AMOAOKVD8ef/vSn5Vvmf/zjH5etCgaVd9gMMqBkwIkBiwHI+lH+LqByH+CJlQOCDn/A4LPA+MYHcNnXBUDxEpRzjgee4msKrEPyY0mpOxkA5zW1Y1pU16RRz1ldDRiWDrARAFcv09pVDUi8DuLJ72+nbp7u4gZahw6wAMfAFVgV6PsDBp9sAVJ8N96P8930a7Oclkbd8QOAAW7tItdzhn0sqglU5+yJSfsoCRg0Vp8ACLACWiyfYsRZPP0pAjAxuPwhAgsIqCh3H3ABROAUUJU/60i6Lx14sdf7eEASaPkSgddOgGRljmrwhQprnyAmh6awrKpzhglU55TupP1gEugVmqZVrpuiSRuf+O75nIkvXvqbK6tXrC+ABUysHI75x0YYoA1SgNN1loW0gAgf78n5VIvjnacvEPtGum8+GXhWzLLIRh5rPidL4C8ep8rSbpPZKdozgeoUUpw0VieBAOuuisnj8DkTf77gRWYv+fpDUYDF2vI9JoAnAKXbAnAaeQZm8geiQAsfu+d9TsVXCAxAfHx6uGmrsmgFYkAgIOw8fugHjMXSHluYQPXYenS2Z2cJNI0DCgGBKeE///nPxQIyVbT72h8i8Gd94AMfeLaqBxRGsMB0BCrnhaaKTQ85373Q68uafFp209sDZnro6wSAcgRHwIUXOpz/0anOm8AW38cUT6B6TL0527KXBFg6pitABWgJAQRA4Bzn0+JvsgXBVA2YeMcNaAUgyo/AJJ3lw0ICJqMVhA/QaZqEj6kncMRLnQAVPqaIeApZZZu03IuP88caJlA91p6d7bpXAsAlqwi4CF07z3LhMPbnnv4QgRXE6mJpWaJnbfnPvIBKmSwctLp2LgRq0p3L25QPGOLDd4aPqSLQevHFF5dtDyyq6oTWWOfoS3+MYQLVY+zV2aadJACAWDaBCeAABqyWQCbLCEGriqZpgu+L21SqjO+Xs34+/PSPPllAgUZAhCZLynWg5Jw1lWXlWj6h1UvTQx//84VNdbRHi+/MvyEDMAGN6MrzWMMEqsfas7Nd90qAReIIlBQw6B3SgABgcS5fQPCHPDkAAAbrSURBVCK9FUVTNiuHVvTkuXm6P4uVZepmha8Q3UBRLE1AD218pMWnsu7b6gAcTUdtBQCO/Ga+l95+sfI/xngC1WPs1dmmnSQw+nsCjcCi64DFdRaLPJvByqEpG+AyRQRw9mZxkvtjBHup0MhCiz7fE3osK/eEgCp/VlaYe6wsPq3+mw9g4mPlkMXVfiZlx3KuA0OAKtQedak+pS0ZVvQzgWpFnTGr8jgkYIsDsLINAXgBCJaPP/oEKoApsAMgm+DQPTEAEQMxMVqdx8c/xrC0ABMry38A2guWFShW1jGGgDBgDLDk26zTWO4S5xOoLiH1yfPRSQAYBCqBgjSv1nhJGmhxkLOsfIGUr8nKoffmBMBQedfKAiRprK1ARrwJPKwyjnjgyKcltkcLH1bW+973vsXSQk9ePNFxje/IB7+1gRR5TKAihRmmBI6UAOvEIBeAwDjNku7ay8msn7/+9a/LFM7KoX1THQBJXj4p4AFQArDACX15OiojfzxzwgNHwBQfzn5T0aaHaArxcB54rQ2sJlDpnRmmBI6UAHABUOMAD0wAAl9SYCL2F1f2TflTUe8DWi3kIPdPyKaJhQAKrQI+wpgGkEz93Kse+NhKwaJ756mz3wZWfACWf+jBbwzRw7Pp4Hj/kucTqC4p/cn70UggQAEODoCVhdN0q/QAzH1pgIpz3NTQv7uYHn7sYx9bpm0f+tCHlqkeIAR2QEiZ+BEggIrmKNDyum/Lg9d2rB4CLny8HvTRj3504cPqyipkpa0tTKBaW4/M+hwkAQPVwBTG84OIHVBoBI6xuLoUqh/QAB6OMQAKAGJ6aO+UPVt8TZzjVvVsLM2npRzao/WjvIAuMHOdfyve7gNO4OiTzUDLxlJTQh/CEwPKsW6jPLedj2nonyNMoDqHVCfNB5dAUx+WDOtDaPoyTscevGIHMgRApof+7JOlpQ1ABGBZObTpswCUCgApUAIg97VdHnzefvvtBbQAIT6mh6ag/X07+vIGjHiSMxlLA4j38aqOh8QTqA6R2iyzOgkYRAJrpc2YrgMr59cUtIdFVP1NDTnHgYo2+t9Cn6UxdWMBCckAcARWTTu3tT3gyXoCPvaBAUY+LdeAygplrwqhY1GAjJWXB7gBrXNOGSdQbevBmXZ1EjBovBLTtKcpj+0B4w7xa2rYOJWr3qZppof/+te/FuAyPWT5GMisLVaNcuLOA6Jo7BJbOcTHd7RMDwHTJz7xiQW0ABOAEvKbkX/guAv9ffNMoNpXYjP/KiXAijBYsiA84TmOOZD//e9/n3Vaci6BaI+jKZU22loAJJpy2VBq75T45ubmyRe+8IXFSU4OAOs+8JCHrIAZAMILff4w6dJ8luYf//jHMj38yEc+8uS73/3uE3Fgpf0B47lkMYHqXJKddB9UAiwng8qAM2j9oQOLgDVlcBvw1xSAkkMANmP9XQOqAMw9eUs3NQzM3LttSpbl1b4qFimAiycelY1eO+1feuml5UVsMg8Mq89C4MQ/+wDVe5coTlyRSW5K4BgJ9I+99iYBKd8m/8Y3vrGA1zF0n4eywCyw2aW9poJvvvnmUubTn/70YnmdE6R2qdOYZwLVKI15vioJsA5YVa+99tqTl19++ckrr7yyDKDREllVhe+pDOCo7oGI6xFUtqVvS7uLlfxjGXlHHpWVJ/7eJxTeeOONxdnOR7YmoHq8H7upN2Z8tRIwTfFirgFjs6Sp0CFO5LUIACgUAgjXgYrzbenb0uS9LZRfXBh5lDbel3bz1B9mWvjOfz9vs3m/cpeIp0V1CalPnvdKwCAxuHxM7v3vf/+z/MCqe88S58lREugBQN7+8JUVC7BGx/pRDG4pvI/FNoHqFiHO5MtKIAvAYLEHyBI+C4tzOEfxZWv4eLgHSADLd7G8hrNLsN3h9ddf3yXr1jxZy1tvbiROoNoQyLxclwTahPiXv/xlmZrYrGhA7fM0XleL1lcbDwArg3bM27LgG1uCTaBtPN1Wa1aX3e6Hhp/+9Kc7T+XnPyUfKuVZ7kEk4Kn7i1/8YlnxM+XzV+q+xzTDaSTAcvXdK6/biG3/AFSf/exnn22HOA2n46hMoDpOfrP0GSWQM9dgcm6K8oMf/GA5by/QGdk/F6TJ1TYQD4DPf/7zy1dEpTX1XosQJlCtpSdmPbZKYBw0pny2LORT2VpgJu4lAfI1vV77auoEqr26dWa+lAQCrOmfOn0PAH4W1Jr9ftOZfvp+nxRPJIHACblxKiLdMcNpJLAJUqPcT8PheCoTqI6X4aRwJgkEToFS19iN52di/9yQvQZZTqB6btTx+hs6Lanz9eEIVuP5+TjuR3n6qPaT18w9JTAlcAEJzHf9LiD0yXJKYEpgPwn8P8VdaF6PjhlsAAAAAElFTkSuQmCC)
0,0147 mm/mm
0,0526 mm/mm
0,0345 mm/mm
0,7923 mm/mm
0,8524 mm/mm
O cabo AB da grua abaixo sustenta uma carga de 750 kN. Determine o diâmetro do cabo AB se a tensão última de sustentação for 2 GPa. Dado: coeficiente de segura 5.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWIAAAEYCAYAAABm5fzdAAAgAElEQVR4Ae2dCZwUxdnGX4KioOCJUSSfoAtGAsEz4i7BxCNmQREvVLxjXFAEVi4FVg5BQIhyCch64s0aFY3Lircoq0aNF8HoroKKKPHCg1PMfPUUW2NP0zPTO9M90937FL9hZ7rrePtfM8/UvP1WVaOYSsJEAiRAAiSQNwK/yFvLbJgESIAESEAToBDzjUACJEACeSZAIc5zB7B5EiABEqAQ8z1AAiRAAnkmQCHOcweweRIgARKgEPM9QAIkQAJ5JkAhznMHsHkSIAESoBDzPUACJEACeSZAIc5zB7B5EiABEqAQ8z1AAiRAAnkmQCHOcweweRIgARKgEPM9QAIkQAJ5JkAhznMHsHkSIAESoBCH4D3QqFEjwYOJBEggmgQoxAHuV7sAjx49Wh5++GH59NNPA2w1TSMBEqgvgUZcj7i+yPzNbx/53n///XLWWWfJr3/9a/nPf/4Tb/yyyy7Tx4488kj57W9/KzvuuGP8HJ+QAAmEi8B24TI3utYaAb7rrrvkiSeeEPz95ptvZNddd5VXXnlFpk2bpi8e6/hv2rQpQXj79u0rv/zlL7UgH3roodK2bdvoguKVkUAECVCI89ipRnxhwuOPPy4VFRWybNkyLcJm4xT8Xb9+vXTt2lUeeOCBuK/YnEdZU8+UKVPk6aeflsaNG0v79u3l4IMPls6dO0uLFi2QjYkESCCgBCjEOe4YI5poFmL66quvyvz586WyslIGDhyoxdMqshs2bNAj4P322082btyoy6CsqQd5TX5zDOfvvPNOefTRR3Xde+65pxxyyCFy2GGHSUFBAU4zkQAJBIgAhThHnWFE0ojmBx98IEOHDpUvvvhCzjvvPDnuuOO0uJrzxiwIMdwT22+/vfz3v/+VNm3a6FMmn7VecwwZzHE8X7x4sXZvPPPMM3gpBxxwgMC3DHHmaFkj4X8kkFcCFGIf8VvF0Ijkl19+KXPnzpV33nlHevbsKX369JFf/OIXjiIM0yDUu+++uzRr1kw++ugj+d3vfpdgsakXbZnnyGB9brXj3//+tx6FYwSOG4HNmzfXo3DUy9FyAlq+IIGcEaAQ+4DaCJ9VDHGDDTfgnn/+eTniiCOkvLxcj3TRvF1ErSatXLlSmjRpIrvttpt899131lMJz9GWU7vIZLXD5MHxtWvXyttvv62FGTcD8YUAFwhu+MGNscsuuyAbEwmQgM8EKMQeAbYKnFX4UP1DDz0kjzzyiL6Bdt1110mrVq3iraYSYWTCjTqMWuGe+Prrr+PlnJ6Ydo0t5rU1r/WYyYfz//vf/+S9996Tf/3rX/Lkk0/KfffdJ/Atd+zYUQvzQQcdZK2Gz0mABDwkQCHOEqYRM6vAmSqfe+45ufvuu/VodtiwYVrUzDn8TSfCyPPDDz/o0LR99tlHVq1ahUNpk7EllW2oxOTDc3veb7/9Vt566y0tzDfddJP8+OOPerSMkXKnTp20TSjHRAIkkD0BCnEGDI1ooahVzExV8MPOmzdPi+gFF1wgRx99tDkV/+tGhJEZs+gQuobR6erVq+Pl3Twxthl7zWunsuacyYs8ONatWzedfcWKFfL6669r1wp8y7jJh/A43PDDaHm77fhWcuLKYyTghgA/PW4o1eUxImVEy170k08+kVtuuUVqa2vllFNOkdNPP92eRb92K8LIjEkdO++8s46awOg4k2TsddOuyYt2zPXiOY63VRNFcE3r1q2TN998U/75z3+KGS23bt1aR2JAnDG5hIkESMA9AQpxGlZ2MXLKDmHCzbeXX35Zj35HjBiRMPPNWsaNGFrzw3cL/zCmMCOEDa9xUy2TBDE112MV3GR1WfOYcsiL40VFRfqB1x9++KG89tpr8uyzz+pJJ7ixiAklCJHr0KEDR8uAxEQCKQhQiB3g2EXHIYs+BFHEbLjHHntM/zy/8cYbpWXLlsmyu/IJWwt///338tNPP8lee+2ly+LnPyZ1IJQt02TE1VyjeZ2uPms+UxZlcHz//ffXj969e2t3DNbEwESVW2+9VTZv3qxvTppIjL333jtdUzxPAg2OAIXY0uVGYKyiYzmd8BRhaAhHw8/wcePG6UkSCRlsL1C3m3qtxeCWMOtKYNryli1b5KuvvspKiE39xpb6XLO9LF6b8niOOuFGOfzww/UDxz7++OP4TT/M9GvatKlerAh5MP0ao3wmEmjoBBq8ENuFJN0bAjescCMOwlhSUrLNBAun8pmIMOrBrDq4IdAWEoQYIWy/+tWv9Gsv/stGkNG+KY/nhqX12P/93/8JHieddJIezWMiC9wYiCaBPx2+ZQgyRsz77rsvqmEigQZHoMEKsZNopOp9+EFxYwqRC1iW8sQTT0yVPX4uUxFGBRBdq6sDfmKIsx/JiGc29lrrMDaaY3gN+zGZBQ+kzz77TIsywuSqqqr0Fw6W+8Ro+Te/+Y0eXeuM/I8EIk6gQQmxEV/0qVUgUvUxZp/ddttt8sYbb+j1IK699lrXP6ezETXYhJ/1mN5sEm6CZRo5YepI9xdcDCe3jOx1WsuZupDHehyvERuNkTIeGO1j5Tnc8Lz33nv1Fw584wiPw/RrL38FoG0mEggSgQYhxEYM7EKQqiMwgeGee+6Rp556Srp06SKzZ8+u1wI52YowbMO6FMYtgdcYHedidw7DKRNusNOaTF04ZurDc+txvMaNSIS+4YH0+eef67hlhMgtWrRI+5YRr4zRMhbCh6+ZiQSiQiCyQpzqQ5+u83BT6e9//7te6WzixInax5mujPW8FyKM+hAhgZXSTMJPe4hzrpIRS8PSvM60fWt5Uyfqsh43dSO6okePHvqBG5aIxMCvEqzJjF8ouEmKGX5wc7SpW5HOlOVfEggbgcgJsfmAO32403UORl/4kGNthyuvvFL7KdOVsZ/3SoRRL3zEWB7TJISt+eUjNm04/TUss2Frr9fUieOmXjy3HsdrpB122EHf0MNNPSQsB4rFirAuBpb2xBcUFisyo2Uu7akx8b8QEYiEEKf7IKfrD0xJvv3227X/FbGwxxxzTLoijue9FGE0gNXWrDfr4CeFHzVfyYik19dp6sV1mb60HrNfL3zH+ILCA7Hc7777rl5vGb9k7rjjDh13DfcF1sVo166dvThfk0DgCIRaiN18aFMRx8gKkRD42YspyWeccUaq7CnPeS1OmAiBmGFMjECIF3zFWEwex/KdIJLZsk92DUaATf3IZ445lUF4HyIs8ECC6wYjZbgxsOgSzmPCCVwYcGVYb3461cdjJJAPAqHbxdntBzQVTExJxlZCS5Ys0VOSsTBPNjd/vBZh2I4F4eEjhZ8YP83RBiZ4YKQH/7WVQ6pr9fucsSOVWGZrg2kD9dSnHYyW8eX10ksv6UklcPXsscce+obgUUcdleB/z9ZGlieBbAiEQogz/SA6gYGIYW1gjKD+8pe/6J+xTvncHoNt9REHt/Uithaj9alTp+rRMEQFo+ExY8bIrFmzAhdja/rIDxZWZqYdHKtvW+CHCSXYFRu7naAu+JYRHocJJfQtW0nzeS4JBNo1YT509f3AOQFEGBpmc+FufFlZmRx44IFO2ep1DPZ5YZtTo4gXxk1DTBk2CTfrcAxRBNbj5nw+/xoOXvaZ0/WYdnDOtIXn1uN47ZQwGv7DH/6gH/hie//997Xr54knntAL4cNtgUWK4FtGqJy1fqf6eIwEvCIQOCG2vvndfLjSgYC/0Cw+c8kll8RXDEtXLt152OmFfcnaQRytfYEctInti+C2gKgEMRkmfvPBtZu28Ly+7xv4jjGLDw8ksxA+fMtz5szRNwHbqmU/4VfGaBk3CJlIwC8CgRFi80GyfriyuWjs9YZQNMxO69Wrl35kU5+1bC5EBnZbIyas7a9ZsyYuINbjQXqOfvS6T1Ndn/V9k0m7+ILDIvjWhfBxoxQ3/ODOwnlsGwU3Bn5NcSH8VL3Bc/UlkFchNh8YGG39INX3Iqz5cUMGAowPUXFxsYwePdrTD00uRBjXgxuKiJZwSn5Pc3ZqM5Njpk9NP5vXmdRVnzKmHdMuyppjbuvBaBgPhDOahfAx/RqjZcy6RN8gEgNuDI6W3VJlvmQE8iLE5gNS3w9HsovAcYR7YQsfTIfFT0l8YLz++Q67vbQ51fXAh+n0AcfILB+TOlLZmu6cYeZHv6dq27SLPKZtPLcex+t0aaeddkpYCB+RGPiix1Ko2BgW/nr4lrEQPkbLiHJhIoH6EMiZEGfzQUh3QZWVlbJgwQI9FRm7JONOuNcplyIMoYDPEvGv9oSlIuGaCGMyAmjeC+Z1Lq7F2pZpH+1aj7u1A9PO8cAqfPh1gglBiMSYO3euHi1j4g1m+eHBbaPcUm3Y+XwXYvOmz+QNn65r8ObHjTiMQEpLS/VIOF2ZTM7nUoRhH2KHIcROsc1YgQ13+8OczHsh11wNM9M+Xpv3J55bj+O1m4TRMEbCeCAhLA43iPHeXLhwoQ6JQ6gkVpHD3yZNmriplnkaGAFfhDjbN3e6PsBMOOwRh1lU5557rvzpT39KVyTj8/kQC4Sn4eewkxBjRwv4LKOQIHzmvZKJCHrBwNqusQX1Wo/Xpx38GsMDMzXhQsKUdLgxMIEI/YZfNPArY2IOFsxnIgEQ8EyIvXgTp+sSTEnGrg4IykckBKYkIwzJr5QPEca1IDwNIy2IsT3hONbujUoygmfeP+Z1Pq7P2rYX9uCLFDf08EDCpgLY4QU7YGNSERYrwigZwoy/2exFmA9ebNM7AlkLsRdv2HSXgxtx8+fP16FEXbt2lZtvvtn3CQ35EmGwWLVqVdIRGXyO2FAUTKL0M9eIYC7eT+nebzhvt8d6zE15pzytWrXSG6liIXz0H0bLmH6N0TJGz4gbx41mhMgli5hxqpfHwk8gIyE2HxZcvnnD+oUCI4eHH35Yb89+/fXXbzPJwY928ynCuB64JuALdkr4sOJDizxREmJzreb9ZN5j5rU5n+u/1vaNTbDBejwTm9B3EF08kMy2UWYhfIyO27dvr0UZwswUbQL1WmvC+kaMNpZwXN3333+v3RdR7hdcW7ai50dvGuZ+2YYJSZjlh3WXsb4IU7QJpBVi84aLNoZwXt1pp50mFRUV+icuPrhW3zH6DQ9ElGD0hVE0JiKY/kwmIDiOPPC94zl80vhrvUHopizioNE2Hta2U5VFm2gbZfEXPnLkX79+ve6gVGWxTCjO44GyGFGiPpSFKydZQn5T1uRBOZQHT9hukqkbvl0whZ04j/rRJhL8wihvjpuy1r+mHuQDH8zSM3aiHtiDYzgHFwaiaJBQDjdr0T7ywz7TLs6hPrzGc5NMW7ALdWG2Jrb+YgoWgYxcE8G6hIZrzXvvvac/fNdcc42+CYT93vDhNB/KXXfdVS+aju3rEVmCCS5waSBBPCAk9mQ+uEZEH3vsMS0EEH2UxXnThr0s6oOA4IEPPkZzeHTv3l2HcaE8yjol1ItyRhQhNpgsgWO4MYsvAqeyKIcEgTIihIWRsJAP1us488wztQA5lUU5lLe6eNAe7IRLrKCgQIelYYF+kxfncbNtpfriQ8ImAuAKnrAZkzywr+DJJ5+s+8apXbSJ64SdmK1XW1urbzyDnxF1lDMiizZRBn0CvzIemDWKLwuIKxLKgoHhpw/W/YfjTz/9tK573LhxFGIrnIA8pxAHpCMyMcMICEZM/fr109s7WevBTT9M8YYIIy4ZPnZ8mN0mCKFZSB1xsBdddJHbojqeFh/6nj17agGdNGmS67LIeNddd2k/OYQFPtJzzjnHdXlsnwSRwhfRnnvuKUOGDHFdFhnHjh2rV1/DsplYKMpEPZhK+vfvr2du4stm5syZOuIB5yDOkydP1jMiwQ2x7akS1pcePny4/EGtCFdUVCQXXnhhquxajFEn8kL00Rb+pkv4JYQwT3yhYFU5pgASUN+0KZMyGUMOPgLIQIU96b5TI87YlClTEvpRiUhMiVfsySef1MdVpEmspKQkpj6UCfmSvVBiFlPCG1M/gXUZtXh+TIljsuwJx9VINHb66afH1ChMH1czzmJKcBLypHqhvgBi5513Xkx9wegH7HjwwQdTFYmfU1EIum01KtXHhg4dGps+fXr8fLon4Ki+vHQ29Ysjduqpp8bUBI2EYoMGDdKfByXEMRUjHD83YMCAGLghgfXjjz8eP+f05Oqrr46pGaExNZqNKaGMqRt1Ttnix5B3xIgR+rWKo48p4Y6pUMf4+WRP1DZgMbWGdeyTTz6JqbUzXPdjsvp43HsC+JZNmSjCwf0SMkKsdvKIqdFRvB8hnhAyu3jdeOONMTWiiqmfvfG8Tk+WLl0aU64I/cE159XoTQu72kXZHHL8i3x9+vSJ/eMf/0g4P2HChLiIJJywvVA/7XV5NVknfmbt2rVaqNRMtfgxpydqqrEW4eXLl8dP44vnsssui82ePTt+LNkTfFldccUVCachwircLKZcLPHjYIjPhfrJH3vuuef0cYikGnnH86jRcUz9Goh9+OGH8WPWJygHsVauCH1YuRtiKi4+hi9Qp6SmUmsGyo0RP63W19ZfFGrti/gx+xMVe6/LGcHGX/TPvHnz7Fn5Oo8EKMQBHOm6/fKzCrH66a/fRhBZ5abQIyCn99Xf/va3mNqh2umUPqb8n1pAIGr2BHFUPtcYRqxOSd2gimHkrBZfcjodGzVqVGzMmDGO53AQoocRm5N4KTdL7MQTT4yP8O2VYLQH2+yjV+RT0SVafO655x57sfhriBq+vJQvOn7MPMEoG2JsRBCjbPSRujkWU9ttxSCSEFHYYE3Kv655KJ+z9XAMnCCGVnFHhvvuuy+m3B56hJxQQL3Al4RyLdkPx5QvfJsvCmsmfEHbRVe5KPRouj6/FKx18rn3BCjEERBiuCYgsEj42Tx+/PiU7xTlA40p/+02efBTHGJn/bltz6Rmh8XU9F3Hn90YeeIncKo0ePBgR/swisUIEl8EyZJaY0PnUes4JGSBKwQivHjx4oTj1hcYCUIs1drC1sP6OUba+AKwjsLtmeDigZtC+dpjGN0bIcavB7gz1KQMexH9Gl+Q9v5AX6nFqRzz48tKbZGVcE4t7aq/JJLZV11drftN3fhLKKfWvdBfBPiFZE/4MkB/wQ0D1whTfglQiCMgxBitqZtGWgTVNlCu3lEY1Vn9yviQwx3x4osvpi2PESvyWn2aEBAVvZG2LH6Kw5dqHd3hZ7yKMnDVNn7CqyiKmIqx1W1BGDGSdRJYuzHGd61W64ufgosAIo5z6ZKaWBQbOHBg7NJLL437iPHFZ3VJ2OvALxS1N2JMLc+qT+HLTq3apkfp9rx4DYHEeQg8EnzOYAWfcKqELzBwUVuCxbPhCzeVKwkCjDz4clTRF/FyfJJ7AhTiEAuxupuv3zEQInU3PO1o1P72ghjfcccd+qf15ZdfnvAhtue1v16xYoX+easWYNIi4UaErXXgww8XBn4m//Wvf43h57/bhNHz+eefH1NhedrNAv+s2wQfLG7+wYVhrgFuD7cJwqiWwNRCrCI6NHe7S8JeF0bjFyiXDb7Ahg0blvYLByP/iy++OIa/cFVAyN0IJa7j7LPP1r8MampqtIvKbovTa7gu8F7AlwAS+gRfBPAvM+WGACd0qN+YYU2YBv3HP/5Rr+6lxECv+IWYUcSiIq5UvYUcY4VxvQhjw6QATKndZ5999Ep2xx57rD6GsnggoQ57QhuY6IFVxRDihYSQKkwoQEL7eNgT4mIRjobyCKVC21iNDGFciMfF2r5o16ks6jYxsghNw6wzhOchhAx2KxHRZY3d1rbRLkL9cC0I91IipacUIz4Xk0awEhrilJOVNfHJsBv51Shah+ehDaw9jPVP0D4S2sADZZAfz2EvYrlNHDVYIf7XTLBBHiRcH64TNiK+GPlRB1537tw5PrFDZ7b8h7bwAAvlB7ecyf4pdrxJNt0++9pZgyFAITYkQv4XH2AnIQn5ZQXWfAgfhBMTL6KcsL4yl+v0v4cpxP4z9q2Fdu3a6VXpzMwr0xBEAsmMtMxxN39NWYi6ee6mHPKY/JmWhb14mHrctGvyZnOt2bRrvvyMHfWx2S0nN0zQPvKZBerd2OEmTyZc3dTLPIkE8jKzjp2b2Al4pfyIemsk/Dx3m1q0aCFHHXWU2+zMRwIkEFAC/q2qHtALDqpZdgHGKDddws9iMyJLl5fnSYAEgksg/ac9uLZHyjIsGq4iF0SFGwl2alZ32fU+Z7ipZRVb+IKxU4kKF9NrKOA1EwmQQLgJUIgD0n+IYsBW7B07dtQL9aiJEaJCtPTCNXYTcSdbTQrQkQr2c3xNAiQQPgIcTgWozxAChREwdm1QM730yl9qosE2FmJBeLglTMjUNhl4gARIIFQEKMQB6i7rnXesN6tmWIlahEYwAmYiARKILgEKccD61irGWIwdG01iDVrrDhkBM5nmkAAJZEmAQpwlQC+LI6zPHtqnVunSs87UFNT4OXseL21gXeEmYN5D9r/YaSVdspfB69oZRTquu2hGbbriPJ8FAQpxFvC8LmodDVvrVguA6xt5alFwfRjTXt1OBrDWw+cNl4A9ugbhkXjgPZfsfSdSJVNLq0WtmyzVFZVCKfbv/UMh9o+tpzXDPYHICmyPgzUFzDoGnjbCyiJLABN/sG/ds88+K2qFPX2zFzd8MerF2hk4tk2qWijlhdNl2LxeUlJdKlOrtsnBAx4RYPiaRyC9qAajFvvIxVov9oDD3m9qBS+9AAzWOmAiATcEsH8fFlZySt26dXM6LFULy6Wwd40UqH+9SkS6L6ySeeomMpP3BDgi9p5pxjVChJP/TNxa7dFHHy1qIXO9YhmFOGPULJiOQO0MmVBeKL17FOicxcOmS2H5QuWsYPKDAIXYD6o+1an2gRNM9MAOx1g+0myl7lNzrLYBE6itrJDqwt5Sp8MiBT2kd2G5TOBNO1/eFXRN+ILV+0rVfmZ6+rPaZ0yaN2+uXRPw7zGRQH0JpH/f1EplRbVIdbW0a1Rqq17dtBs0SDkrmLwkwBGxlzQ9qMvpQ3LbbbeJ2qZH1E4Kem1YtauxbimdG8MDc1hFBAnYF5ja5hJrK6WiukTU5k76Zh7ek/pRo9wT1RVSyfCJbZBleyCtEDsJQ6aNmg7NtHxDKGcX17lz54rankfULr7SsmVLjcCepyFw4TV6RwC/qFKlqqmlUl3SS7a5LVcwSMpKqqWU4ROp8GV0zpVrwksxzsjKBlTIKrJwQ6jNMvVIGFv0mIT+sOYzx/mXBLwgUDxPjYCTVJTqXJIiPOyCgCshdlEPs3hAAJM0sLcaktpuXdasWSOzZ8/W8cPW6iHCFGIrET4ngXAToBAHqP8grmp7eBkzZowWWix16RRXTBEOUKfRFBLwgEBaH7EHbbAKlwTgfsAMJ+xqPHbsWEcRNlVRjA0J/iWB8BOgEAeoD7G9+gEHHKBdEm+//XaALKMpJEACfhKgEPtJt551Y6H3Tp06yZVXXqndE++99149a2B2EiCBMBKgEAeo1+BuMDt0YEF4rCmBG3ZMJEAC0SZAIQ5Q/1o3CcVCLNhAFIKMG3hMJEAC0SVAIQ5w32KHjh49esjAgQMl7WyoAF8HTSMBEkhNgEKcmk9Oz2Khbnu42jnnnKN3a7788svjm4ViQod19JxTI9kYCZCA5wQoxJ4jzbxC+IidZjFih4TOnTvrvevMpA+nfJm3zJIkQAL5JEAhzid9h7aTxQfDV9ymTRspKyvTkz24Q4cDPB4igZASoBCHqOOwZx22SRo/frx2YXBh+BB1Hk0lgRQEOMU5BZx8nErnckBIG2KNV69eLRTifPQQ2yQB7wlwROw906xqTOaaQKUIYxsyZIicddZZ2k2BzR+ZSIAEwk+AQhygPkw1Gv7iiy+kX79+OoJi8ODBgunQjJwIUOfRFBLIggCFOAt4XheFEDuJ8eeffy4DBgyQnj17Sp8+ffTsO+RLNXr22jbWRwIk4B8B+oj9Y1vvmn/66adtRrkrV67UU53PP/98Oemkk3SdEGHEHFOI642YBUggkAQ4Ig5Yt1jF9a233pKhQ4fKJZdcEhdhmIs8cEs4jZ4Ddjk0hwRIwAUBjohdQMpHlpdfflkmT54sV199tRx22GH5MIFtkgAJ5IgAhThHoN00g5Fus2bN5IUXXpAZM2boeGGEqjGRAAlEmwCFOED9ix06li5dKpMmTZLbbrtN9t577wBZR1NIgAT8IkAfsV9kM6gXfl/MnMP0ZaxLzEQCJNAwCFCIA9TP69evl8MPP1zvV4ebdNyhI0CdQ1NIwEcCFGIf4da3aoSkrVu3Tg455BAZPny4jBw5UlasWLFNNYiWQKgbEwn4SqB2hhSp+xa4d2F99K3ytdUGWTmFOEDdbt7sMKlr166C5S+x6hrWlWAigfwQKJTpNVsnGmEAUDO9UMq79xVqsbe9QSH2lmfWtUGMTTrhhBPkwgsv1OsQf/311+Yw/5JA3ggU9OgthbJM3q/NmwmRbJhCHLButU/S6NWrlxQXF+uR8aZNm+LWYicPe974ST4hAZ8I1FZWSHVJmQwq8KmBBlothThgHe8krhdddJEceuihemSM802aNNEz66yj54BdBs2JDIFqKW33s4+4XWm1lPQqjszVBeVCKMRB6Yk6O5KJ66BBg6R169b6Bh5Gw7ixx9XXAtZ5kTQn0UccW1SifMRFMoOuCU97m0LsKc7sKnMaDVtrHDVqlLRs2VKwkejmzZu1GFvP8zkJ+E6guJeU+N5Iw2uAQhygPnezkM9RRx0lL774oqxdu5ZCHKC+ayim1M6YIOXSUdrTR+xpl1OIPcWZXWUQ4lTuhsrKSikvL5eKigrZd9999eLw2bXI0iSQjoDdRywqnG2e0Eucjlv9znOtifrx8jV3Mv8wGr333ntl8eLFcv311+u96uCaSOfK8NVYVh59AgWDZGlsUPSvMwBXSCEOQCekM2HOnDnyxhtvyKxZs6RFixaCxeKZSIAEol9RBa0AABTOSURBVEOAQhzwvsQIuKamRmbOnKkXBIK5qUbOAb8cmkcCJOBAgELsACWfh6wiO27cOMGMuhtvvJE35vLZKWybBHwmQCH2GXB9q99hhx10kauuukov7DNt2jRB3DATCbglYP0yd1PGTX7ej3BDMvM8FOLM2Xle0qxDDBHGIvHYJilZ4gcjGRkeB4HFI8/0DMQJExd4VhcrcibAoZYzl7wcbd68ud6hAxER6UQ4VZhbXoxnoyRAAhkToBBnjM77gljU58ADD9R+4ddee837BlgjCZBAIAlQiAPULRs3bpQOHTpIWVmZTJkyRUdLBMg8mkICJOATAQqxT2AzrRZ71RUUFMjgwYNlxIgR8vHHH2daFcuRAAmEhACFOEAdhbvX5g52ly5d5OKLL9ZLX65ZsyZAVtIUEiABrwlQiL0m6mF9WBD+7LPPlksvvVT7jU3ViJgwgm2O8S8JkEB4CVCIA9R3TiFpZ5xxhpxyyily2WWXCdwWJlGIDQn+JYHwE6AQB6gPsTOzU1jaeeedJ8cff7wMGTJEtmzZIjvuuCMX/AlQv9EUEsiWAIU4W4IelseI2GlUjCbgL+7UqZOMGTNGr76GyR/J8npoEqsiARLIAQEKcQ4gu20inbth4MCBeoeO0aNHaxFu3Lix26qZjwRIIMAEOMU5wJ3jZBq2SerYsaN8+umnehNRpzw8RgIkEC4CHBGHqL+++uorwSai2NUZscaYicdEAiQQfgIU4pD04apVq6R///5y3HHH6QgKiDB9xCHpPJpJAmkIUIjTAArC6Q8//FBP7Dj33HN1KNu3335LEQ5Cx9AGEvCIAIXYI5BeVIN1h+1rD7/77rtyxRVX6FHwiSeeqJtJFubmhQ2sgwRIIPcEKMS5Z560RXsUxJtvvilDhw7V604cc8wx8XJwSSDemK6JOBI+IYFQE2DURIC6DyNdMyKurq6WG264QcaOHStHHHFEgKykKSRAAl4T4IjYa6JZ1AcRbtq0qTzxxBN6x+aJEydShLPgyaIk4CmB2hlS1KhIZtR6WquujELsPdOMa2zWrJksWbJE7r77br1haPv27TOuiwVJwFcCVX3VwlN9pcraiBaqRtI38aDMKLIfsxbK9HmV9K1brRAToayPIqOU2sbEc4k212rb4mWLZkjGGlt37Y3sQu1SvCnEmb4PfCiHNwRGxfiLPeuYSCCwBIp7SYmUy0KL6NZWVki1Mrg88aBUVJdIr2Kvr6RY5tUtCYB7JVsfi5RNhdK7R8HPjRVOl5r4eeSbJ8aUqr7tpLTjorqyNTJdSqVd4rfIz/W4elYohYXVUjrVAsVVOREKsUtQucj2ww8/SNeuXeXUU0/VS19+//33uWiWbZBABgSKpVeJyLL3zRiyVpQOy/Tp+mB8ZKnFubCDtMughfoWqerbXcpLymSQRYeT11ElC8tFSuLfEAUyqEzZXr4wcZSfvAKRulFwfASu8vaer74MyifU231BIU4FOsfnMBLGdkknn3yydOvWTccOr1+/fhsrzE+pbU7wAAnkkEC7DoVSXVFZJ7o1sry6o7QfpEbK1RVSWafPNcurpbB3D0mljbUzihJcC+b9vfWvzf2R7PqUKE4oL5Tpw8x4N1nGuuO178syNXruYP2GaNdBHVkm8e+WVFVAhNuVSsdFMVmaoPzFMmy6SOkF9XNzUIhTwc7xOSxxicgJJExjPvjgg3Xo2o8//phgCd6gxoWRcIIvSCCHBAp69JbC6uVSgzarFqrRaC/1sx8j5WpZvvWgGnXaXAUO9hUMWlrnHjAuBuvfn10JDkXjh6qmlkq102i4Wrkb1Odlq6h7daNN+afrRHieg+4XDCpTX0alUh8PBYU43pXBeGKNDR4wYIBeU2L48OHBMI5WkICVQEEP6V241U9c+74aX9YNLzFS1n5iiLOoUXKq4bC1vkyfq5ty3ctLZJFdFYvnJQh8DUaq7VyOsJPaonzA7ZQLRPmekw++lf96kfKgT3A/KqYQJwWenxNWIYYFmNDRsmVLvQ5xfixiqySQjECBtO8It+oM7R82N8n0SHnZ+1KlxFk5YeM3x5LVkp1rQkU+TCiXwunD0raj7TKuh4L26ivCjNzrLKtZro6k/+IoWVR3Yy9VlEXxMH3z74Kpy5NddsJxCnECjmC+GDlypGzevFmmTZumDTSTPoJpLa1qSASKcceuvFTFG/SWeLACRsrqSPfSasvNsORUsnJNVE2VUhWVUZbgp0VbCE1LHP1q90WhsXPrzcafIzy2Cnr6Lw74ldWNvaXqphzcHkmjLLbe/KsuL9eRJMmvfusZCnE6QgE5P2HCBKmtrZVbb71VdtttN9luu+0CYhnNaNAEdBibItCxveWG3NaRsthvhnkOSvlquycbDcOGcuke9w83ku7LVCjb0kFxO4vnqZHtsu51/mMVyqbGsDV290ZSmxE+hwgJVT7ZyFi5RpSHwlVqpH4Kx1zlZCbfCdx0001SUVEhzzzzjGNbiKjA6Lh58+Y630MPPSQHHXSQY14ebLgEcGNq8cgzPQNwwsQF2tfqWYWsaBsCHFZtgyS4B7BpaL9+/eTQQw/VURNNmjQJrrG0jARIwDUBuiZco/I/I3y/qfy/b7zxhkyePFlmzpwp++67L3fo8L9L2AIJ5IQAhTgnmN01kio2+IUXXpBx48YJ9qw77bTT9DKYWAqTiQRIIPwE6JoIQR9iNTb4jydNmqR9witWrIjPRAqB+TSRBEggDQEKcRpAuTztdN/0kUcekTvuuEOvTdy2bVttDm7G2Gfb5dJOtkUCJOAtAQqxtzyzqg0Ca00PPPCAjo6YNWuWtG7d2npKj4gTDvAFCZBAaAlQiAPUdRgRm/jgO++8U55++mmZM2eOnlkXIDNpCgmQgMcEKMQeA82mOtysww24uXPnyvLly2X27Nmy8847b1MlBNs+et4mEw+QAAmEhgCFOEBdhcXgMQref//9tRgnMw0iTCFORofHSSB8BBi+FqA+ww243XffXbBA/Jo1a5JaRhFOioYnSCCUBCjEAeq2devWSZcuXeSss86S/v37y5dffpnUOopxUjQ8QQKhI0AhDliXQYx79Oiht0sqLS3VO3YEzESaQwIk4DEBCrHHQLOtzsQS9+nTR4+OsR6x2bUj27pZngRIIJgEKMTB7BdtFaYzt2nTRq688kqufhXgfqJpJJAtAQpxtgR9Lo8RcYsWLaSsrCzekhk1xw/wCQmQQKgJUIhD0H2jR4/W8cVY9Adp++23D4HVNJEESMAtAQqxW1I5yNe4ceOky2BOnDhRvvnmG5k+fbpgXWJGTeSgQ9gECeSIAIU4R6DdNANxTSawOD5lyhT54IMP9HrEWBQ+WV43bTEPCZBAcAhwZl1w+iKtJRBfiPHBBx8sn376KV0UaYk13AzY3ogpPAQ4Ig5PX2k/8XXXXSdFRUWyzz77cCnMEPVdLk3FzVyvH7m0vyG2RSEOWK8ni4jYtGmTnm2HG3XY0Rl/uUNHwDqP5pBAhgQoxBmC86uYk993w4YNetNQLAY0atQoLcCbN2+mj9ivTmC9JJBjAhTiHANP15xdiL/77jvp27evHHLIITJs2DBdHIsDIcKCiQRIIBoEKMQB6ke4GqzuBtyQu/TSS+X3v/+9DBw4MG4pxDqZCyOeiU9IgARCQ4BCHKCusoowwtSwAtupp54ql1xySYKV9lFzwkm+IAESCB0Bhq8FqMvMDh3vvPOOjB8/XrskiouLHS2kGDti4UESCCUBCnGAug3bIi1ZskT+/Oc/S2VlpY4XDpB5NIUESMAnAnRN+AQ2k2oRota2bVs5+eST5cknn8ykCpYhARIIIQEKcYA6bePGjdK+fXu9c/Pq1atl0qRJAbKOppAACfhFgELsF9kM6oXfF6NipBtuuEFWrFgh8+bNy6AmFiEBEggTAQpxQHsLogwxfvnll2XBAq4bENBuolkk4AkBCrEnGL2pxD5JAzfvrr/+elm4cKE88sgj8UYQQ4xQN8YSx5HwCQmEmgCFOEDd5xSStvvuu2sxvv3222XRokUBspamkAAJeEWA4WtekfSoHicxbtWqlUybNk3PrsO2SZ06dfKoNVZDAiQQBAIcEQehF1zYgLA2uClmzJghTz31lOy0005c9McFN2YhgTAQ4Ig4YL2Uyu+L0LapU6fKKaecIp988gkXhg9Y39EcEsiUAEfEmZLzqZyTa8LaVG1trd7VGbt1WNemsObhcxIggXARoBAHqL9SjYZh5p133inz58/X/uKWLVtyh44A9R1NIYFsCNA1kQ09j8umCkm75ZZbtG94zpw5OmwNC8NjkSAmEiCB8BPgJzlAfQghdnI3QHxfeOEFufnmmwXhbD/88ANv1AWo32gKCWRLgCPibAl6WB7+YbuPeOLEiXrHZkx13nHHHXVryJPOjeGhWayKBEjAZwIUYp8B17d6MyLG3+HDh8sOO+wgM2fO5NZI9QXJ/CQQIgJ0TQSosyC+GPX+9NNPUlpaKrvssotce+21FOEA9RFNIQE/CHBE7AfVDOvE6BebhQ4dOlT2228/GTJkSIY1sRgJkECYCHBEHKDeatq0qVRXV8tnn31GEQ5Qv9AUEvCbAIXYb8L1qB8Lwx955JGyxx57yH333ZeyJG/WpcTDkyQQKgIU4gB115YtWwQTNaZMmSKPP/643rfOyTz4kvGgGDvR4TESCB8BCnGA+gxhaRs2bNAL+mBNCcyie/755wNkIU0hARLwgwCF2A+qGdZpjSPea6+9BDHEWHHtlVdeybBGFiMBEggDAQpxgHupoKBAxo8frx9vvvlmgC2laSRAAtkQoBBnQ8+Hsna/b+fOnWXs2LEyZswYeffdd3WL9jw+mMEqSYAEckiAQpxD2OmagsDapzijzOGHH65n2Y0cOVJWr16tJ3qkq4vnSYAEwkOAEzpC0ldFRUWyfv16GTFihJ51Z9adCIn5NJMESCAFAQpxCji5PoWpzQhLS5aOP/54Pf35wgsvlC+//FKwODwTCZBA+AnQNRGgPoRrIp3/9+OPP9ZLYXIt4gB1HE0hgSwJUIizBOhlcSf/sLX+cePGyUcffST33nuv7LbbbtyhwwqHz0kgxAQoxCHpPPiGsSsHVmNDwiw8JhIggWgQoBAHvB/hN8ZqbDvttFNchDdt2hRwq2keCZBAfQhQiOtDK8d5sSVS//79Ze+995aysrJ463BhpPMlxzPzCQmQQOAJUIgD1kVGYBEV0a9fP70aG0bETCRAAtElwPC1APUtRrrYlWPNmjUyePBg6dmzp5x55pmOFhrBdjzJgyRAAqEiQCEOUHc1a9ZMPvjgAxk1apScc8450r17d0frIMKp4o0dC/EgCZBAYAnQNRGgrsFWScuWLZMWLVokFeEAmUtTSIAEPCJAIfYIpBfVYApzly5ddGja/fff70WVrIMESCAEBCjEAeokxAljhw7ECj/66KPy4IMPBsg6mkICJOAXAQqxX2QzqBc36zAqbt68uUyfPl3vW1dZWZlBTSxCAiQQJgIU4gD1FoQYDyTs0AExLi8vl2eeeSbBStysM/kSTvAFCZBAKAlQiAPUbfaQtNatW8ukSZP0dkmvv/56gqUU4gQcfEECoSZAIQ5Q9zktg9mhQwe55pprZPLkyVJTU6OthQjbRTtAl0FTSIAE6kmAQlxPYH5ndxLYww47TAYMGKDXnFi1apUOb4MYc1Tsd2+wfhLIDQFO6MgN56xb6datm6xbt06GDRumBblp06YcFWdNlRWQQDAIUIiD0Q+urCguLhZM+rjqqqtk7dq1st127D5X4JiJBAJOgK6JgHeQ3byCggL54osv5NtvvxXu0mGnw9ckEE4CFOIQ9durr76qXRNjx44VCDImgDCRAAmEnwCFOCR9+NJLL8n48eP1usTHHnus9heHxHSaSQIkkIYAnYxpAOXydOPGjR0jIaqqquTmm2+W6667Tg466CBZuXKlXn3NKcIil/ayLRIgAW8IUIi94ehZLfaQtHvuuUcWLFgg06ZNkwMOOCDeDpfBjKPgExIIPQEKcYC60B4bjOnNTz31lNx0003SqlWrAFlKU0iABLwkQCH2kmaWdcHVAPcE0uzZs+W1116TW265RU/gyLJqFicBEggwAQpxgDoHIoyQNLghMJ0ZI2HEDTORAAlEmwCjJgLUv5gtt2TJEr1n3axZsyjCAeobmkICfhLgiNhPuvWse8OGDYJFfrDAT6oEX7JxYaTKx3MkQALhIMARcYD6aePGja5GwYiYwALyjJwIUOfRFBLIgkAjdYMolkX5BlfUHl4WdQB8e0S9h3l9QSDAEXEQeqHOBoxwt2zZEiCLaAoJkEAuCNBHnAvKLtvgIj4uQTEbCUSMAEfEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBCjEEetQXg4JkED4CFCIw9dntJgESCBiBLaL2PX4fjmxWMz3NtgACZBAwyLw/2ROOK1nWwabAAAAAElFTkSuQmCC)
145,37 mm
200,04 mm
48,86 mm
180,54 mm
17,65 mm
Determine o diâmetro de sustentação da haste da figura abaixo que suporta uma carga de 200 kN. O material da haste tem uma tensão última de 8 GPa e o fator de segurança dela vale 1,65.
![](data:image/png;base64,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)
34,15 mm
24,56 cm
10,14 mm
45,21 mm
7,24 mm
Um corpo é sustentado pelo suporte da figura abaixo, se o diâmetro do pino for D = 12 mm qual é a tensão de cisalhamanto do pino.
![](data:image/png;base64,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)
22,10 MPa
9,588 MPa
2,559 MPa
0,128 MPa
53,45 MPa
Duas partes de um metal foi soldado com uma angulação de 55º, determine a tensão normal suportada no plano da solda.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAb0AAACACAYAAACfvbeDAAAgAElEQVR4Ae2dCXyU1bn/f9kzSci+sCUQsrCFgGxqQFCpIlEEXHCt/r21oLYWWvX6v9br3t5/a+sfrFaxtb1U69YLgkuQVUTDDmEJkBWy7/u+5z7PCROSkCHbTOadmefwGWbe9z3vWb5nMr/3POc559i1dwRIEAJCwPQEvtiyFf/x7LM4cOQwPD09TZ+h5CAEhEA3AvbdjuRACAgBkxJoB/1rbzdpHpK4EBAChgmI6BlmI1eEgBAQAkLAygiI6FlZg0p1hIAQEAJCwDABET3DbOSKEBACQkAIWBkBET0ra1CpjhAQAkJACBgmIKJnmI1cEQJCQAgIASsjIKJnZQ0q1RECQkAICAHDBET0DLORK0JACAgBIWBlBET0rKxBpTpCQAgIASFgmICInmE2ckUICAEhIASsjICInpU1qFRHCDCB1tZWtLS0CAwhIAR6EHDscSyHQkAImIiAWn5sECuQ6QWssqJSlczewR7u7u5wcXGBvX3HcyvHqa+vR11tnYrT3NIMOzs7jBo1Sr2bqEqSrBCwOAIiehbXZFJgSyXQ1NSE5ubmARc/Ly8PKcnJePKJn6l7g0aOxM+efBILr1+IgIAAda6osBCffvIJ3nt3Q2f648ePx6atW+Ds7AwHB4fO8/JBCNgyARE9W259qbtRCPzuv/4fWGDuue/eXtNrbGxEQUEBPtz4D5xISOg1jqGT5WVlyMvNU6/f/+EPYAHk16cff4wxo0fD1dUVI0aMQELCCSpDKDgOixwHN3c39VnfGzSUh5wXArZEQETPllpb6moSAvvj41FbW9Nr2mx2rCgvx6GDB/Htnj1KsHqNaOBkQ0MD7crQRgLmjpsW34zs7GycOHECn1GvrqSkBPV1dUr4Tp08iaCgIEyfMR0h48bBw8NDnTeQrJwWAjZLQETPZpteKj4cBHicLSkpCS/95wuDzi4iMpLEbIYawwsPD0cbCSmHpuYm1JLoOTg6Yvu2bWpMz8/fH4/85Ce4auZVCAsLG3SecqMQsFYCInrW2rJSL00QeOftt7Fr5y5VllWPrUZxUTE+37y532XzpzE7dkjRmyirqqqoV1mLqVFRmDAhDGPGjFHXXnjlZRQVFoHNoVs+/1yZU2fNmoVrY67tltfuXbtx7tw5JNErZt48cA8xn8yld959N8orypFPptQjhw9j2YrlmD59huo5fvXVV0g+l4Tc3FzMnjsHh/YfUGOTt8TGorS0FJkZGTh96hTue+ABTIuehokTJ3bLUw6EgJYIyJQFLbWGlMXqCOTn5aO2pgZLb78d11wbg/GhoQOqo5OTExypJ6cXPR7P4/HB+dddp5xYePyOr0+dOhUzZ82k1yyMI/MmCxmbVHsG9iAtKS7GSTKRevt4w8/PD25ubvhu7140NzWDe4rsHJNwPAEpKSkdt5PHKefLQunj46PikBKre9hBxv/iPWzmzcrM7JmlHAsBTREQ0dNUc0hhrJFASEgIXnr1Fcy9ei4CgwKHVMXUlFSkp6fjzrvuREBgh+cmJxgYGIiIiAjMoZ7YXdRrq66uxs4d2y/LazQ5v+h0OpTSeODChQux8p57sOLOO7Ht668RPHYsVtyxAqsffxxnTp9G4ulT6v7g4GA4krixeF9//fW4/8EHsGDBAnXPtGlRuGvl3eqefSScaampl+UpJ4SAlgiI6GmpNaQsVkOAnUzmzppNps2dqpfGXpb63pqhSp49e1bdc+pkh9h0jccTzbdu2QpPT08SnhswmsyaPE+vZ2BTaPT0aNWD63mNj+vr69DU1Kgusfi1ttH8PhoX5OB0sddYV1eLNnKe0Qc+5qkWnDbXo4U+NzTUq8tqriCd5zhqHqL+JnkXAholIGN6Gm0YKZblEmAz3/f79qGGelsc8vLz8dabb6rPyTTfTh/Y/Hj40CH9IYqKitQ9bSREXUNlZSXKaKzOzt4Ovn6+CBoZpFZc4TE2FiJfX1+1+gqbOlmUyslbdOSokYiaFt01mUufe0yQb0fHCUpKhZ7i1fWY8+NwKYmLx2Q2lSAELIGAiJ4ltJKUUfsE6DefxYEFisfH/vnBh2r8iwveSNMOPvnoY7ATCk9h4FBRUaGE8e/v/w3e3t7qHP/HY2YODpf+LNva2tQYHI+vcW/LgVZg4XE07kny+Bl7bvK4Hzuw8Hw9Xxqj4zG/UaNGU7o+nenqP3Aa+jLw52aaMN/S3LFcGfcm+ZjPc104b/2Eeu4RsjjycRNd1y9x1kIrv/Ax38OB0+bPXCYJQkCLBC79dWmxdFImIWAhBPjHnufU3bhgoXpnZ5Dv4n/oVvq777gDZxLPqHO3/Ogm9e7l5YX4Q5c7nOhvLCQB27xpE1gce4annnkGYRHhNDE9Aa+++BKCyYHl2pgYZQKdPXs2IiIjet6Co0ePqTFBvrCH5g1mZ2UjPS1NxTtFHpjlJMZJ5KnJy5nxpHiOc/TIUeRk56CxsUkdp6WmIZmmYXA4fPgIXHWuOJ9+Xgnh+fMXsI96uYsWLVLX5T8hoDUCdvREx0Fr5ZLyCAGLIbDstqXKOWTxLbdg3Rtv0By5mZg3fx5+unp1tzqwyXPP7j1qNZWXX30VOjed6hHxfYYCz/PLuHChU6i6xps8eTI8qHfHgptIjic8gT3AP0ClyWZQ7vn1XH4sJTlF9RLLykqVpyeLW3VNNXJzchBGcwDZk5N7pHlkOmVB5onubFrlnmQdjf1Ni44mE2yNilNQkA8ugz31PGvIySU7KwsjaYk0Hm/kdwlCQIsERPS02CpSJosiwKLH5spQmo5w9MgR3Hv/fcqDchIJQs+wdcsW/Me/P4uDR4+oHlnP63IsBISAaQmIedO0fCV1GyFQTE4o/OIQFDQSvQmejaCQagoBTRMQ0dN080jhLIXAlKlTcP2NN2IerXIyZsxYSym2lFMI2BwBET2ba3KpsCkIBAYGKScSXiOzr/l4pshf0hQCQqB/BET0+sdJYgmBKxLwD/AHr3UpQQgIAW0TkBVZtN0+NlE69g6cf8212L2rY2Fmm6i0VFIICAGzEBDRMwt2ybQrAZ4EzcLHE58lCAEhIARMSUBEz5R0JW0hIASEgBDQFAERPU01hxRGCAgBISAETElARM+UdCVtISAEhIAQ0BQBET1NNYcURggIASEgBExJQETPlHQlbSEgBISAENAUARE9TTWHFMbaCcyfPx8bP/wQ7rQ4tAQhIASGn4BMTh9+5lfM8eSJE2oz0StGsrKL1VUdm62eph3DHWl/OEsLvMNAbk4udu7Y0e+i79m9u99xJaJtEODFDXg/RAmmJSC7LJiW74BT/8XPf45dO3YO+D65QQgIAcsm8P5//10tZWfZtdB+6S3vsVr7TAdVQl6h/5677lZb1EyOisZ//vaPg0rHEm+qqCjHEw+txJPP/BrXXne9xVXh2Sd/ivCJU/DTn//yimU/lVOCguo6lNQ2YtQIHUL9PTHez/OK98hF6ybw/p/XYfc3X1t3JTVWOxE9DTTIkcOHsT8+HgW0S3bMghsw+5p58KcFjG0lOFw0aXrSpqWWWG8HRyfaPVxnsOzNrW2oqGtEq64J9m3O0Dk2o93VGY4eXtBRnd1dnG2lqaWeFwm00ca/mz7+AHk52cJkmAmI6A0zcH12vPRWa0uLOuTxnX/890a14/XNty0j4btRH03erYBAU0sr8itqUFxTj9qmjjavbGhCeX2jEkMRPSto5AFWgXe7/8tbbwzwLu1Ft7Oz016h+iiRiF4fgEx1+bNPP8UrL77UmXxA4Ej884v+O0J03igfNE2gioQtr7IOh7KKLytnTnktKqkHGOjpDgd7O9hb4A/IZZWSE0JA4wSU6Gldrdvb2zWOcfDF+/nTz8HewR46ndvgE5E7NUeAv7Hcw8ssI89O6uX1Fpqpt1/X3IqCylr4ubvCzcWpt2hyzsoIHDt0AN/vkQdcczWr9PTMQD47OxslxSUq59hld8LRSX7szNAMJs2SH9QqqZeXX1VLziv1vebV2taOBjZ9kui5OjlC5+wIrT+A9loROTkgAumpSYjbuknd4zrCGw7OLqgtLRxQGhK5bwKGOksien2zM3qMx1etwvn080ZPVxLUDoGmljYcPF+AyoZmsCOLocDCdzKvjHp5zvCgnh4LnwTbITB18V3wnzAJ23//tO1U2sw11eRfmCGFNjMro2Z/9fyFWLHyfug9F42auIUkVldbg8aGRhQXdTzlNjQ0oKG+jjwhLdvUW1RVp3p45fVNaCFR60/ILa+GHdoxdbRMTu4PL0uN818vPIuUc2dpSMMB8x99FoXJp5FxdJ+qzhuv/wELrl+IJ9essdTqWUS5NSl6FkFuiIUMoCkJM+deO8RULP/27KwMnD19UlWEH3ba+ikSWq15PXlnltQ20DheLZqu0MPrWX4WSGfHeoQ1t9C7gzi19ARkJcenE46hoc0Oo6bMRFBkNKqL8+FclKuO0zJSEXD23LDUlP/W+GVvb3srUYroDctXTDLpjYCbuweOHYzHxxv/qi5zr9fSxzcLqZfHgpdLHpsDCdWNzfQDZIdSmtYQMMJNCd9A7pe4lkNgTPRcRN/2gCpw+LzF4BeHfRt+o96H478Wmi7F0yZcXV2HIztN5WFamU9bj3l287A+zTx15kZNSkpSk755fURzBnqowtGjx7D4RzchO0smpOrbYnx4JK6hCfkcnGiSt5OFOvU0k0NKFfXWjmcXo4CEbzChhoTvwIUiVFA6PNYnwXoIHKWHu4fvvBXlZaWqUm0kOtt+u6bbq+RC8rBWuKa6Gr/65S/x9ltv4csvvlC/lTzEoLlgZB3pXfQMZJK2fp7yLmMPM/Watx6D1jOVB6fTQxT5vD2dSx84em6wkpISnDlzBt/t/Q5bP9+CPbt2o7Cw0Oxecd/u2YOvv/qKBC8LC360GNNnzRl4Ba3wDi9vH4wLDUP0zDnw9vU1ezsNBrEje9+12iGjtArcYxuIWbNrfmzaZeHj3l41TV6XYD0E6uvrkZ+bjZBZC+Dg5Iz0AzuVSdPB2Rk15LnJr9bm4WtzNmuyZcWJXsnUMeDfya1btmDL5s+xe9cuJCYmoqysDEMSQY3qSHfR0wtRxFrsv+z7loavP4tC3EVbcHt7KtZhLSJWb7ssZv9PxCAmZj/Wvj6UNC7lxl+svLw8HDxwAJs3/Q/efecdbPn8cxTk55t99f5/0WT0Tz/6SBX2vod/ioWLOkwal0pvm5946bHgcaG47sabwBP0LTE46txRQw6aSYXlylOzjbv1gwh8F8/dK6YpDmU0LijB+ghMveVuODq74tRXH2HG8ofhN36iWSrpQI40bNoMCw9XD+Lbv/kGG//2d/Wb+TH9TvGyiNxZqKsbhNVC4zrSfUwvfA3i28lziAsd8VmPxgjHmvgNXc6F49aVMVj7WQr19pYgvMsVgx9VumuBdamIv7Uj1sqNcYiKeA3rn1mCNf1K5FLq/CRSkF+AE7Qdzw/ff48L588jMyOjM4KO1kNc/cTjqmFdXFw6zw/nhyzq2d1CJk0OMfPn4a9/+9twZq/5vDynhCJsjC/Ky8sREhIAb2/ztNNQQG3+5B9DuV3utXICDz3wII4eOdKtlm0tzfjXU/d2O8cHe7/9FlMizSOEnH8RCR2/9v8Qj3V/fAOjRo9CyLhxuOnmxZg0aRLGBo9FYGAgRzUcNK4j3UXPcDV6vZJ6lvqDUc8PSPCi4tqxYQkl12kXXYJn1r2GiIfX49b4NVdMq7KyUpkvi4uLkZqSQnuY5dBxKU30LqYeXi4qK6u6lbO5uRnf0ZcoPS0N3l7e3a4N1wGbEP7vr38N7unVNrTgTG7FcGVtEfk0NTWikaw6je1uaClvhEut5fGpa2pGPa2sol9X0xjgeVkyJ1qpx59WapHlyYxB1Hxp1Da2dMs8MGIqpt/+IE5+8WG381o8qKLf1MwLGdhBPcEjhw4hMCgQ06+6ClfRy5eGI4zhCGMqHaHBs45/PZYHHbTo8fhe7HuryNzJCtZX2IbVZDLtFLwe0cPXPI9Va2Px+rY12BDR42KXQ+7ZpaenIyU5hcbsvlXdcm4UQ4E9lBKOJ6iXoTimPh8cEoJtO3d27KJAc7EulHRsmGrqfC0vfRdUV/GYxvCNaxiLUSU5nrDzSTFtGWSsOaaOJHo6JwdMoO2HnOizrNRirNYa/nScadWVETR2XU1baNWVl2BE4Gh4jQxWoufj6wMP8mI2V2ghZ78KsrLw0FBvgc83NjWp685kLfOjTW51bm4ICwuDFw1NDDWYQ0cGJ3rbVoM0jKyUG8iw2VegMbuIWLLtrUOqwchLsCFuFexeW49nNhpO7wwNrp5ISMDpU6dx5nSi4YgausIPGfSbRU8cEqyVgJfOGbzmCvf0jNXb40nt1dRDqKxropVaOpYos1Z+1l6vB9b+GqcPfo8P/vgy9vzpBUy8YSmiblmpqr1m7VqsvPdyM+dwMOGdXvLJ3+G3r74GdrTrLXh4eMDP3x/LVizH9BkzEBoa2rd5s7eEejtnJh0ZsOixMkesZYeW+H4IXkdNV8WlYsprEYiYB6QaMmEueQbrKM7Dr6/qDY86N2fuXEycOBGLlyxBVmYmeLwsNycXyclJyKFpAI2Njd3u5TG9VY+tJrv0aHh6mmezTi6DBOsnoKMJ5QEervQkX0O9PePVlye6t8MVLtTrEzOn8bhqJaXDGSVoOXyeevPAibhPMZY2FX78Zz8bluLx8M8RGmssvTiNgjP18vbGaPq9jJwYifCICAQFBSmRGzlyJNjpzI16ecYI5tSRAYnettV2iE2kHhs5u4T3u+YxmBLBTjBxOGsXS96ekWhXg3o9E6A4z6/C2tj36MK16HgO6h6HG4Bf/ITCTxyZJHw52TnwD/BHemoajelVora2FmWlpcrV1o7ccn2pOz6D7M8hZGaUIARMRYDH37hH5kxecS30/TTWPDseK6ynVVoamh3hJutymqr5hi1d/wmTMcJ/VGd+hVX1OJtdhKqsFBynaVbBZM7mHtXMWbOMMl7WmVGPD2yGbyKz5elTp9SqLOPIWYVFbfSYMQgODsakyZMQERkJf+rl+fj49Lh7aIfDpyMxvepId9G76F2pn66wP8KOJiXwuB2bMbdhC+sRT1OwI9tmZ4ghM2d8PzwvyYTZHkd2vljYsXD2ZsZcsgFxq96jscLOxHv9wHNMuDH4NYu+HMuWL0NRURF494LkpGTs2P4N9QSzlIMLzz0ZM3asiF6vJOWksQiw44nO3hHeOidllqwjU6cxQiv9ONVQWnY0XhgiomcMpGZN45oHn4TOyxfsvakPteXF2PVOx2osZTnAo4/8G3bs3kWeksH6KEZ/Z38H7iB8/90+RE+fjhsWLcLVV1+NcJrCMOTenMZ1xI4U34jGGOO0zWCKxI3ILzZxcmOyrTqf5uylkefmwoUL1VML26fNFR5ftRr55Mjy6PO/M1cRJN9hIMBiV1zTgFISKRYsYwQWVGfqSUaNMu4TtzHKJmn0j4B+TO+2F/7cKXqbnv0xZt31aOcuC7NXrkZbawuOb3rf5KLHps0m+q3Mpd/IER4jyDlFR3t66tSKSANZj9MSHay69/T6136ajOVIUwP4xS607FXEAhcQEKBs1AE0r4SvmTtUlJbg4M6vVDGCxo5D6ORp5i6S5G9kAi40tudM4zPOdm2obzeO+xJ7crpSuhKshwAPvUy49kfwDBrbWanK/CwaumntPDblBxY29sbkYSKeqD4QoTNluYYjbfMrgYlqyY4r/NLSWF5RTiY2v7dO1fiam5eK6Jmo7c2ZrOqV2bXDBS2oh5NRisKCx2ZTCdZDwM7eQfXyuEZVhWTTpJD6vXFWplKJ9fEfCx2/bDFYrehprTH/9Oe3lQMOl2vF7bdrrXhSHiMROB7/LUoK8lBTXYPwm1cOaVkyLtIIco7xdaP5UeQZKsHyCcT95hfk13DJAjDzjkdoKbLIzootoKGYN99+y2IXXu+siIY/iOgNU+N0Na9aoh18mDBZZDYNdbSV0PlUJCUcRmFuFoKCx2NcxEQSK2fwPnkN5IE52MBzAF1pusKln8nBpiT3aYEAz9GryM1A/rkEVZx28vR19fBSWw2dP7hbmRmdaRFqCaYjQKMP2gtqBwf9Tg5dnoq0V9LBl6iJdoSopDE+CZZPoIEW5c1MOYvvvvgM6YknlECNC4uED/XQeIxvMF9hvodNpSNcnJToWT4lqQETGBM1RzmusAenPji7j1AT1t19A/Sn5N2EBDQpeiasr2aSPr5vJ37z2L1oJY9TCZZNoK62Go0NHcs4RV2zAKFTouE/cjTcaYqBl6uTEq6B1pAnu48aoVNz8xzJ6UCCdRDYte45NNXVIPa59dZRIQushfw1maHRnnv+edx9zz1myFmyNAWB+LjNSDz0g0p68sy5SvD0+XBPzcvVGQ5sudCf7OOdRc7ViQSTTJv9v6uPROWyWQmERE7Gj59+EW4enshLPIqDH7ypypN+YBdObNlo1rLZWuYypmeGFo+ZN08toWaGrCXLARKooiWaSgpyr3hXeuJJNNNuEROohzd6fBg8vC7Np2PzppszeXM62qOhpa1fC1JzXF5smr02B2MavWJh5aJZCHj5+mPa1dfhxA97aPw3DbmJHVsN8fheE40Jj4mei6b6Wiqbv1nKN9hMBzOnerB5Ges+ET1jkZR0rJJA4uEfsOX9P/VZt7mLYnHXY7+6LB6Py7EjCntgFtGk9abWviesc1xPMova070SrIvAj596EXu3foq4D//SWbE6WpFl79svdxyHj+s8Lx9MQ0BEzzRcJVUrILDx9y8gh7wyOfzid+90m8DLY3jZaUn4auO7ePCpFxASPslgjZ3IXOlPUw6qaNeEtnZaOYg89noLLJAeNA44ggSPhVKC9RKwd3DEojWv4dyuz5Fz6pCq6Isvv4x5tNG0BNMSUKJniV1U02KR1G2ZQGVZCVJPHkNW6jnoyLNu9g2LMSY0jEyNl4bAzx07iLLCfIXJ08cPbiMM7y3GJkr9gtT8t1bdeLnocZ+OV17xpPE/XnJMdlSw7m8gfw8q8jLQSE5Q+hAyLsSk623q87H1d+np2fo3QOp/GYGCzAv47M+vq/PTyBtz+U+evCzO4d1xOHOkY2n2msoK1NfWqGWdLovY5YQPOaaANgqqbry02LD+Mosc79DApk3x1tRTsd73dlpu7Mgn71pvBTVcMxE9MzfOS/92Bxbf+wjmx64wc0kkeybwjz+8hOSEDieDNb9/F0Fj+96Syi9oFDx9Ls27MkRSR6ZLNm366Gi36oambvvu8Rgee3k6kxOLBNsiEDphAj7b9D8m3UrItoheubbyF3ZlPia7Oi06Gr+gXZNbyOuvtcs2IybLUBK+IoHa6ips/+TvyM88Dy8/f/Ug4hNAC5U7GV4dYwQJ3SwyfbIben9W2WETJntzeveYisDmTHdaboxfEqyfwPhJ07Dorh+rit5IW/o89H8ehru7u82uhTncLS6iN9zEL+Y3depUPPbE492cI8xUFMmWCNTXVGH3pn+itqoSYyZEYNGdDygxMwSHxdA3cJQa79MNYMsqHtvjcTt2WuGxPr0Q8kR22STWEG3rOj8ucgquX36fqtSChQtwz733WlcFNV4bebTUeANJ8YaXwANrn8fEq+b0melUGutrpT3JwiZH9xm3awQ1dudop1ZbqaB1OWtpV/Sx3m6ydVBXSFb+mR92+KFHgnkIiOiZh3u3XBN4wuqFtG7n5GB4CTTW16kM9279BMdoibi+QkVJkdo1Izmhw928r/g9rzeQ2DW3ttEYXzsSadWWjp6f/BD25GStx7zQtATzEBDRMw/3zlx5bI/X32yvLu08Z0sfmqi3xLs4t9GPAG8A7GSGzX5zc3NRXV2N6dOnK/T9aQsvF55H5zDodnOhu/mlQofekl+nBFsiwN83Xz8/W6qyJupqR/NFOGiiMFII2yNQUFCAwsJC1NNOBRGRkfAzw4/Aay+/gv3x8Yjbsd32GkBqLARsjIA4sthYg2utumWlZUhPT0daWhptvHppoq7WyinlEQJCwDoIiOhZRztabC0qaGJ3ZkYmjh87jvLy8mGtB1s4vvryS2RkZAxrvpKZEBAC5iMgomc+9pIzESgrLUVyUhK+iYtDfn7Hsl7DBYbHEf/9qaeVaXO48pR8hIAQMC8BET3z8rfp3CsqKlTvrpJ6exwqyitQSiI43OFXzzyNT/712XBnK/kJASFgBgLivWkG6JJlBwEXFxdMmzYNra2tOJlwAi6uLmZZisnNzQ2eXoYXjJb2EgJCwHoISE/PetrS4mqi0+kw46qrcNvSparsfMzLMQ1n8KDVVJycnIYzS8lLCAgBMxKQnp4Z4UvWxifQnzUw9bk60pzAIwnH9YdGeZfpP0bBKIkIAZMRkJ6eydBKwkJACAgBIaA1AiJ6WmsRKY9pCGxbrXZC4J7gpddqbNPn1tf1tPWY13nvPKyXVeP05ORdCFgUARE9i2ouKeyQCMSsQyrNzWMTZMdrA5Z0TdDg9W1YHbEWUXEX74uLwtqILoLZNQ35LASEgKYJiOhpunmkcJogkJaCRKzCcr1CLllOR4lIkd6eJppHCiEEBkJARG8gtCSuEBACQkAIWDQBET2Lbj4p/IAI7F+LiCuNyxm6Hh6JKLyHLfoBwG1b6CgKkeEDyl0iCwEhoAECInoaaAQpwjAQWLKhy1heO1LXofu43BWvL8EGuiEx9qITTGwi1qX2GA8chipIFkJACAydgIje0BlKChZIIPzWlYi5wrjcZdfD1yC+0wEmHmukl2eBrS5FFgKAEr1LLtxd3bllF2f5glgLgTSsn9fd23Lb62uxP2YlblXi1dd1a+Eg9RACQkB6evIdsAEC4YiMeg+xneN5dohNpOkL8WvQ0WHr67oNIJIqCgEbIeBoI/WUato4gSUbaI7dBsMQ+rpu+E65IgSEgCURkJ6eJbWWlFUICAEhIASGREBEb5KBf14AAAZASURBVEj45GYhIASEgBCwJAIiepbUWlJWISAEhIAQGBIBEb0h4ZObjUHA2dkZ1994AwIDA42RnKQhBISAEDBIwI4W3m03dPUKlwzdIueFgFkJDGQ/PVMUVP5mTEFV0hQCxiMgPT3jsZSUhIAQEAJCQOMERPQ03kBSPCEgBISAEDAeAZmnZzyWNpVSVzOeuU2KNgVeKisEhMCQCIjoDQmf7d1cVFSEs2fO4InVj6nKT5o8CasefxzXXXcdXFxc0NzcjL/+5a9g5xRHR0fU1NTg5sU3Y8KECeq6qYl1FWNT5yXpCwEhYHkExJHF8trMbCVmQTuRcAKpqalobGxAcVExKioqUFpagpdffRX29vbIysrCmcQzCA4Ohq+fr4ofMi4EY8aMwcSJE81WdslYCAgBIcAEZExPvgf9JtDS0oLKqko0NTXhvvvvx223L0V4RDgOHzqMhoYGlJeVK8Hz9vYGCx2LnI+PDwryC5BxIaPf+UhEISAEhICpCIjomYqslaY7Z84cLF+xHK6urggMCEBoaCiip09Xpsuc3Bzs2b0bY8eOhecITzg4OCAkJARpaWlIOH7cSolItYSAELAkAjKmZ0mtZeay8jidk5MT2traVG8vkcb22Lz50MMPwcvLC5XlFUhNTqZeXz1aWlvUpq3cA8whkyff2zPs2bMH6Wnp1BPMR/SM6ThxPEGlyxPVKyit3NxcJJ87i6XLlmHSpMkIDgnG3r17kZKUrMYKJ02ZjIP7D8Dd3R1XX3sNykrLkJFxAdmZWVh2xwpMmTJFmVV75ivHQkAI2C4B6enZbtsPuObcc2NPzdbW1g5BIvHJzs6Bh4cH7Ol8Y1OjEkE2g+odSlpJ/GrJmYUdWnqGqsoqJCcl4cD+/WhpbkF1dTVyc3Lww77vVTr1dXUoI5Pp/vj9yMzMVGlWVlTi9OnTOHb0qLqnisytmRkZ6p46il9XW0djjKXqmM2qEoSAEBACXQlIT68rDfncJwHuubGo7P12Lw4dOID6+nolUOEREX3e2zMCm0Y5jeqqKsTeGosZM2YoMXvphRfwwUf/JDNpMPLy8rD60UcxcuRILFi4AGFhYdi5fbsSXr5n6tSpVJZv8ea6ddi+e5cS5VwS4kcefhjTpk3DrNmzemYrx0JACNgwAdXT46fy3l42zEWqboCATqfDqFGjcMedd+C553+NZTS+F/fll6on5+fnh2nR0XBzc1fTFbhXqNO5IZSEKjRswmUp1tfXobmlGaRUaoyQe4gN5BXKgc2hdvZ2JKp1nb1G/o7yMcfjniWPKzY3N5EnaaO6h6dMUGQlxOqE/CcEhIAQ6EFAeno9gMihYQLcy+PAYsZjePweFBQEbx9vONB0BU86NyE8XAkge3i2t7Wrz/7+/nAnE2jPoH/QsruYJj16qXs4HqfNgccPu4aOY1oulq5zHH0aHKfznvbu93S9Xz4LASFg2wRkTM+2239Ata+trQW/2KSpDzyeNyUqCs7Uy/L28kZkZKQyf3Kc1rZWFBcXw49Ej+ftSRACQkAImJuA9PTM3QIWkj/3qI6S88iWzZtx6sRJxC5dCu7BjRs3Dq/QxHQ3Nzc1J489LNf9/3XkRZmhPD2raLzu9mW39zoxfR85rGSRpyWbJ3fs2IG01DTl2MJIDh48CDfyymTvTp4Un56eruIcO3oMBQWFZOJsVsdnz5zFGfIi5fAdeXbWkCjr5wTy+dH7xyAmJkZdl/+EgBAQAmpFFv5BkyAE+iJw4cIFpKak0EosRZgQFg6dm06ZObkXx56d/D1i8+PRI0dh72BPJk8HNQWBJ7D7+vqqOF3zOHToEAoLCpQjS8z8+cohprysTHljzqL5gLyMGXtrpqYk03SFEIwbP57iFyrnlnbKZ9ac2apXWVpSijyaI8hpNDc1qwn0KeQVOnHSJHUPrwYjQQgIASHABET05HsgBISAEBACNkNAxvRspqmlokJACAgBISCiJ98BISAEhIAQsBkCIno209RSUSEgBISAEBDRk++AEBACQkAI2AwBET2baWqpqBAQAkJACIjoyXdACAgBISAEbIaAmpyuX76pt1rLHL7eqMg5ISAEhIAQsEQC0tOzxFaTMgsBISAEhMCgCIjoDQqb3CQEhIAQEAKWSOB/ASNIw8FMPumvAAAAAElFTkSuQmCC)
E = 55 kPa; ur = 17 kPa; ut = 45,54 kPa
E = 88 kPa; ur = 22 kPa; ut = 77,22 kPa
E = 22 kPa; ur = 34 kPa; ut = 88,89 kPa
E = 34 kPa; ur = 88 kPa; ut = 22,17 kPa
E = 44 kPa; ur = 88 kPa; ut = 151,5 kPa
Um lustre de 80 kg está sendo sustentado pelos cabos AB e BC e os diâmetros dos cabos AB e BC são, respectivamente, 10 e 8 mm. Qual é a tensão normal média nos cabos AB e BC? Dado: g = 9,81 m/s².
![](data:image/png;base64,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)
Tensão AB = 4,568 MPa; tensão BC = 8,754 MPa
Tensão AB = 9,638 MPa; tensão BC = 8,245 MPa
Tensão AB = 3,638 MPa; tensão BC = 6,245 MPa
Tensão AB = 7,795 MPa; tensão BC = 6,673 MPa
Tensão AB = 8,050 MPa; tensão BC = 7,860 MPa
Uma mola em seu estado normal mede 30 cm de comprimento, ao aplicar uma força de 15 N ela sofre uma deformação. A equação que determina a força elástica em uma mola vale: Fel = k.x, onde, Fel é o valor da força atuante na mola, k é a constante de enlongação da mola e x é a deformação sofrida pela mola. Determine a deformação normal media da mola da figura abaixo se a constante elástica k for igual a 950 N/m.
![](data:image/png;base64,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)
0,0147 mm/mm
0,0526 mm/mm
0,0345 mm/mm
0,7923 mm/mm
0,8524 mm/mm
O cabo AB da grua abaixo sustenta uma carga de 750 kN. Determine o diâmetro do cabo AB se a tensão última de sustentação for 2 GPa. Dado: coeficiente de segura 5.
![](data:image/png;base64,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)
145,37 mm
200,04 mm
48,86 mm
180,54 mm
17,65 mm
Determine o diâmetro de sustentação da haste da figura abaixo que suporta uma carga de 200 kN. O material da haste tem uma tensão última de 8 GPa e o fator de segurança dela vale 1,65.
![](data:image/png;base64,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)
34,15 mm
24,56 cm
10,14 mm
45,21 mm
7,24 mm
Um corpo é sustentado pelo suporte da figura abaixo, se o diâmetro do pino for D = 12 mm qual é a tensão de cisalhamanto do pino.
![](data:image/png;base64,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)
22,10 MPa
9,588 MPa
2,559 MPa
0,128 MPa
53,45 MPa
Duas partes de um metal foi soldado com uma angulação de 55º, determine a tensão normal suportada no plano da solda.
![](data:image/png;base64,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)
Tensão AB = 4,568 MPa; tensão BC = 8,754 MPa
Tensão AB = 9,638 MPa; tensão BC = 8,245 MPa
Tensão AB = 3,638 MPa; tensão BC = 6,245 MPa
Tensão AB = 7,795 MPa; tensão BC = 6,673 MPa
Tensão AB = 8,050 MPa; tensão BC = 7,860 MPa
Uma mola em seu estado normal mede 30 cm de comprimento, ao aplicar uma força de 15 N ela sofre uma deformação. A equação que determina a força elástica em uma mola vale: Fel = k.x, onde, Fel é o valor da força atuante na mola, k é a constante de enlongação da mola e x é a deformação sofrida pela mola. Determine a deformação normal media da mola da figura abaixo se a constante elástica k for igual a 950 N/m.
![](data:image/png;base64,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)
0,0147 mm/mm
0,0526 mm/mm
0,0345 mm/mm
0,7923 mm/mm
0,8524 mm/mm
O cabo AB da grua abaixo sustenta uma carga de 750 kN. Determine o diâmetro do cabo AB se a tensão última de sustentação for 2 GPa. Dado: coeficiente de segura 5.
![](data:image/png;base64,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)
145,37 mm
200,04 mm
48,86 mm
180,54 mm
17,65 mm
Determine o diâmetro de sustentação da haste da figura abaixo que suporta uma carga de 200 kN. O material da haste tem uma tensão última de 8 GPa e o fator de segurança dela vale 1,65.
![](data:image/png;base64,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)
34,15 mm
24,56 cm
10,14 mm
45,21 mm
7,24 mm
Um corpo é sustentado pelo suporte da figura abaixo, se o diâmetro do pino for D = 12 mm qual é a tensão de cisalhamanto do pino.
![](data:image/png;base64,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)
22,10 MPa
9,588 MPa
2,559 MPa
0,128 MPa
53,45 MPa
Duas partes de um metal foi soldado com uma angulação de 55º, determine a tensão normal suportada no plano da solda.
![](data:image/png;base64,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)
0,0147 mm/mm
0,0526 mm/mm
0,0345 mm/mm
0,7923 mm/mm
0,8524 mm/mm
O cabo AB da grua abaixo sustenta uma carga de 750 kN. Determine o diâmetro do cabo AB se a tensão última de sustentação for 2 GPa. Dado: coeficiente de segura 5.
![](data:image/png;base64,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)
145,37 mm
200,04 mm
48,86 mm
180,54 mm
17,65 mm
Determine o diâmetro de sustentação da haste da figura abaixo que suporta uma carga de 200 kN. O material da haste tem uma tensão última de 8 GPa e o fator de segurança dela vale 1,65.
![](data:image/png;base64,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)
34,15 mm
24,56 cm
10,14 mm
45,21 mm
7,24 mm
Um corpo é sustentado pelo suporte da figura abaixo, se o diâmetro do pino for D = 12 mm qual é a tensão de cisalhamanto do pino.
![](data:image/png;base64,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)
22,10 MPa
9,588 MPa
2,559 MPa
0,128 MPa
53,45 MPa
Duas partes de um metal foi soldado com uma angulação de 55º, determine a tensão normal suportada no plano da solda.
![](data:image/png;base64,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)
145,37 mm
200,04 mm
48,86 mm
180,54 mm
17,65 mm
Determine o diâmetro de sustentação da haste da figura abaixo que suporta uma carga de 200 kN. O material da haste tem uma tensão última de 8 GPa e o fator de segurança dela vale 1,65.
![](data:image/png;base64,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)
34,15 mm
24,56 cm
10,14 mm
45,21 mm
7,24 mm
Um corpo é sustentado pelo suporte da figura abaixo, se o diâmetro do pino for D = 12 mm qual é a tensão de cisalhamanto do pino.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJcAAADxCAYAAADGMiU+AAAgAElEQVR4Ae2dd5xd1XXv92iKemUk1HsvgFBFDSGqwFTbGJNCHFOS+L1A/kjy+eQlr+Tl4zy/fF5ixyUxJO7GNtgxEDoIgZCEUAEhhBCoo96lkUbSSFPe77v22feeuXNnNDO6d+rd0p1zzj777LLWb6+99totr0rONaP7n//jv7u3317h5sxb4C6/fIByUuUKCvJdfn5BdO2g+0L9uOJXEN3znB89Ez7582H8c/w+HiYvL89VVFS4CxcuuPLycrtyn/rz7yqiMOf1nh/f+W/Ky/03IY6KigsOipLXwsJC/Xwe/T3PhZbn1GfyyS/4J+5FC+hh/kVFroPoUFFeqfxUWP4pA2lzDfeVlZWJ++AX3sev5Yon/hwPC31OHD/mfvXLJ91X/vAr7tFHH20wSjo0+IvcBzkK1JMCOXDVk1C5YA2nQA5cDadZ7ot6UiAHrnoSKhes4RTIgavhNMt9UU8K5MBVT0LlgjWcAjlw1YNm6pXnXCMokANXI4jGJwAuB7q6iVdQ9+v29xbjIb9UF/z9lbc+HM8dOnSwb7hWVvr6mgzv34Vn+zJKI/jFr6nptubnnORK4R4DFqmDFljcg7+/+ufKSh8Wizj+/poa1r8L35NcuE93TclOxh4DgBsb4YkTJ8yaT57r65pNcjUkk/UtTC5cy6JATnK1LH60qdzkwNWm2NmyCpMDV8viR5vKTQ5cbYqdtRcmdB5qD5H5N60WXBgLahoMkgSq610yVGu9u1jpL14u36HyPT/fk+Sbi/UEG0bVVguuusjXMBLUFVPzvKuLxbyr633z5Dh9qi0WXB4g6cloNs40hs5QxPRfhbeNvYZYswfdtDEnPLnRz7LBn5CfxpYnio+YzLZHPInEaom0YWm2LHBFtEsUIbpJPBtB/VNmyVALLRPepBl+gSnhOREouqnNPzVc7c8hhXgIH6tGBeR5sbLHv6vtnqYw2y5PqCXf7d4FMkD0cA9Rwj1X5pifOXPGletadu6cW7VqlXt7+Uo3e9YsN2HiRDd02FDNnfffl5Sccps++tht+OADt3r1ajdr5nT3+w88kJgn36VLF6N5nMm13bdW5jSbhb6lECyAJ4AqPMfzV1pa6rZt2+YOHzrkVq58x508qaEQDfmwmKNHj152b+GtngaJEA0jCaxnTp92T/7s527Pnr2uU8ciN2TIUDd7zjUuv0O+K+5b7AYOHJhILqQfB1riZSu7affgCvwKTOWZMcKysjJ3+PBhkzr79u1zy956y50pPeM+++wzN3jwYEmpYSbBevRIxJBor6wJ449JQecKtOJnwKCB7rhW03zy8WZ3TnEvffNNV6V0Ro0a5WbMmmlxXn311bbKJ+QhTwPhuABXe2hFf9o+uEKjXweHqqoqjWUs1zp48KCas4/curVr3d69e927atK6d+9uy7emXnWVu/2OO9y48eMMDO+++657//0NNivC8zwkpifTaTw4unbt6m66+S43fdp0Sb6Vbvv27W7Lli1ui6ThgQMH3PLly91ll13mFi9e7GZfc40bPmK469WrF22yRetxWkcBfOIt7m/bB1cdJA/Siibo/PnzAtUm93M1X+vWrHEHBDL0qCuuvNJdM3u2GyZJNXbcOK2tvNxViunlahK7d++R1Mli6QCD8MM7X+sOBwwY4EaNHu266ZvyivNux/adbreaSeJZs/pdt/HDD923v/3PkmhvuJnS4RYsuNZdqbQ7duxoaZBXpvQEF2DckiHX9sEl6huIxI2gx/AcgIXetGvXLveOJMqbS990r7/2muvTu7e7efEt7r4vf9kkSP8B/cXkTuKrvtM0GxjK9zSfCCiLF24HjgcE4BH5dcjzi3h79OhOLK7rlK4G3LKy827ipElu88cfKw8r3IcffuA2b97s3l623N1yy81u2vTpbvz48SY9SdP3F5VAS0ZVVP62D64Eo/1NABVPJSUlbunSpe7ZZ55Rr269FOwCt+iGG9yiRde5q6dNc2PGjDEg+JXIF7zkEFjyOiQnFIKdZJypHI+eFYg4Oui7jlLoAWTHogKBU/qYVlmPGjnS9evXT5JxrEmw9997z61fv95977vfc2PGjnELJcU+/8UvuIGDBklqAmhNUBRYW7prF+AKkgUQAAYkzvFjx9xrr77mvv2db7ujhw67+QsWuFmzZ+mnJnD4MFdUWGS9Qb41ZqpJsu+JQ6AgDn7BAZi00kT+AOLM2TPu7NlzrlSmjMLCAvUaOwpYzhT4jkWFrki/Ll07u359+5qkmnr1NPeuTB0fb/rI/eu//otVhN/7gwfU0xxiSZIXK1fIQAu8tgtwASjaJ5q0svNlbsOGDe653z7j1kppByD33X+/+9J9X3L9pE91k/KNHQvmsbeE/9K+9k0hyKry+0yge1VHlE/JPor9wff8+Qvu1KnT7qSkJeDqWNTRbGJdlF6hUNZVwCrqWOg6y79L1y7u8v793WhJTqTYf/zmaffkL37hyisr3L33fsnsaV27dbPeZlwPiyXZIm7bBbiECrNFlZWdc2vXrHX/quZmtZToa+bOdX/0ta+58RMmuiFDh4hZfjOPfBRnfQPAguPOJBdTm/Okb8XehTBprwJiXhVSzxlow6YhZyTFZG6VJDvrunTp5Lp07mx6HT3LTp07uU6dOrluAlBn+dOk0nQ/9aun1BHY4W648UZ31913631XqxwtFWBtHlwGCHEWi/q6devcd7/zHbf23dVu/rUL3IOPPOymXHGlGTOrKipNJ6Kp4Rs1emrPJJeiZlFoMv2Lpi/EiQ+tYXXplQqxANBw1fcKYvPvBWakWemZUkmyIgMTkqyTpFd3AauTOhHYwubNm6dms8h6le8q75gxOihfd3/+HgNfaoot5bnNgQvG4xIgEXMwiK5T8/Ld73xXDFrjFixc6B588CE3aeJkcRoFOV/M8kzH8m7g0TMMzDPFGbB5aRWAZdpWAi8eYrUx1WCpdPiWZhhJg9SKcuounC9359VrPH36jOvcpbPr0a2769Onl5rPfNm/epsRtnefPm7ECBT//tIVX3bf/5fvWccCuxsSDIAndDDlG1d3rixIVv+0CXAFQMUpFUBwDokl3eq73/2uFOR33YJrr3VffehhN3HiJDE53xXJBgUXYDrNDyCCSbA/MMviiqCQUOLV3KF7eRcAHXIQU7YJQlAFCXlKXr0fX/G+oqLclZw4qZGAUt2fd8XFxab3XSZgde3cxYDO/lwYfV9/9RWTwvKUHvZFK0vIb8hFc19bfn+2gRQKBIaBAAsd63tqCler5zV/voBlEmuimNbBJIPYasAqF2Mr1EzhqPiClt17qaO/ii/+yxMYLWwiFABJkpOwxJ10ye8BqL0mRCTR/CiBD4+kPXDgoNuzd587caJEOamSDtZRY5CXu+EjhlkFWXTDje64lns9/dTTFpZykybXCM/JpJvpLkmNZspAJpI1gkLUiMCBrYc00PzLXzzp0FOweH/1oa+6STJYdigQsNT1h/kXtLtemazzNIeM5WGLsn9RfKAgQAT9B4dcMw469SrDW3qQGj5Cl6qokAVf8UaBdCWUB2sij8Sb5hd6oGXnKwSawzbYffT4CUvF9DINRaGXIYEnT7nCRhWe/PmTNlQV4iOPLcG1iWYxxl+7pXk7qVr9xpI33PIVK6S0X2FN4YSJE2RbQmIVmsTwW016wNDcwHiTWQFYeoJh2Km8VFCTJAlHrxMl/MTJkwZI3pEmEqe8It8k4QWZHiw6xQHgTp8u9e8FQG/iwE7mTR58T7pcw88AqedTmlGxa9dnpvgrcdm7TiuME8C6yXo/w23X+OSTP/2pmvcC66DQ28QFEId782ziP20DXIFoUF2/SjH6Ew2h/OiHPzQi33TLLTbUQtNDrws5AhjOS5GGCR00BytP5gUDFn8jVPjmy8scA4h0oeNHT1hzRO/zxPESKf3eFoa+xFwvgMN3AM16hMoPaR0/dtyar3PnykwBx9YVwgZAVb9GwFZc9ChPnSpV0dj7VPHJr1K9WxT8W2+7zb3w3HPuxedf0L6yc21cknhCGQJpmuPaNsAlgQNBcRB+//797oUXXnC7ND3mvvvucwsXLjSJZoPAuoPpF7RJLZ7WDOp76xlKevh/Pj5ipJk6I1vUkSNH9DtuEtGaUW26WylG+8bOmTUfcNETJC/nzp03kNHbJE7Ad0LK+tmzZ00XZBgIGxZgB8tkvya4vB/lArAh3wyyk/eCgkI3afIVbp90s1UaG3399SU2FgloWwLA2ga4oL4cDCgpOeleevElGR2fc+PHTXCfu/0ON3TocL0FKnkKg8SSjiVpQm8xoMODQEHkIpyqiSt3+/cdcAcPHRGoTia+AxSFXQtc0QE1r+pfwnQklUlBA5cHG1N4SBfA9dDEL5osOhkAjDwwHNRZBlNAzxijzyPp0zxGV2UQSZtwNNFKDxfKMF493w83fKge5KsC1zR1XOYp3pozXRNxNNFNmwBXqPHoUNu2bnPP/vZZgeyUmyML/GhNc4FTBWqGCGd6lpjOwC8SI/wAGRImWLuZ0Ld3337pNDvcWTVlSDYkQnHxZa6vxv+QePv37xP49hm4AArMzkN3E+/ZSvy8hpoADE1uVw3p8C3gBlzMhmBGBvkBcPQGmfoMkAKwPAbQxdD5vN6nhNUhUVmUVpBO/fsPcFdqrtnSN5a4H/3gB26YRhvGjB1nZWnO5rHVgwsCe4fSfFq2rNUCxFZ3jSbdLbxuoVm9YS7MoWmCoWbFElgCsIwBiofeItLvmPSjffsPaCbqUZMu7APfW9NwmMvVRUZOpjtjO9uydatJHZT3s2o6AQodAyVm90gz8ndeHYBlb73pDirOYSNHarbFWOltx2XP8t8ANKRfkSzzdER9r9Q3r8SFodfABVAVID9f8SufvCN+gDl9xgw124c1ZWeje+utZTb3DLoEAEZEatJLqwdXklpIkgNqEl903TVn6kvStcaNGyfi0jsrsCaOQetAbCzygIs/oUnkufTMOffplm3u6NFjFjVNJxJnqKTBEc2eWPH2W27JkiWac/WJ69mrp7v22utsaOmMpElRuT+EgDRoEpFQdC7KJPnWvLPKrVqx0k2cPMXdftddmj7TXxLwMlciRR3JxeA16XeV9ELqlWpKNbKU/BNf8idv4c0qhBWA+w6unwa6Z86a7XZu367m8TV33aLrDMShvFaYJv7TJsAFAY8fP+6WvP6axt02u9tuv9NNnXa1KctIHd7TZFUwfqjeHZLMAGUAozGUXgQAJXnoDByXXQlQhaasm2YsbP30E/fjH/1YU2A2WdO3YMF8G2A+h/4kaXj2nKSQJGOY905cSC4kZSfpPzfceLMM+pWaEPiOeo37Nct1gpsxc7ZmPoxznSUVqyrLXW9NbR44sL9AWaa5+rs1TedcDFQRwAQQm9NF8xmBhXLRHA8dOkxTsMfL9rXRJhsiISl7Ohf8s9lstmpwQaDwOyZJs0Jz0TtIL2KiXy9JlWAQpanzRk1v/IwqvEBlosukQLmkBatzdu3cbQpzUccCTW0e6ip0HMtvnv61e/edle5jzRbFeHn7XXe6KVOm2PPLL79qyjlR0QMNzALMKO3n1OR1ljT6oqb0DBk62L2szsayZcvUrK7TxMCNmpN/l5s3f4FVBCQuzW+XLrKXKa5t23dYhfBAQIr58upGeKGCWMto91Uy2tJpuGrqVLd16xb3kdYBsGFbz549rakPumQ6oGXLr1WDKxAF5Xvr9m02XDJ8xCg3YvgIG9oBOjCEeVCmbJvU8k2KjUeLO95QkKflYie1fGyHSYsCSYE+fSRNdI7PT370Q/fss8/aJD0m633hC19Q93+yGVE/1ewEAHVOUqtCkoceHxKRNEmP+fHYw9ChunbrovFMTe0ZMlhTfeaoeV3ufvrjH7vf/sfTkkQV6nzMM0nHvC+Gphi4Pnykm+l93ryB3qXy0FM0cFEO3yR6M4UfLRg0eIjr1buP2yQJu1U64TRVNN6ngitUgkDDbFxVlVu3g5FnZC3/QNOC9+zZbcM7TA3GyJgvRqMoI5VwnhnoWOEnP1GAyYHoa9ipMG4WSxcaPHiQphq/755//nk3YcIE9+d/+Rfua5r7NWnSZA9YxXlMs1mPHTtqw0foSNjDyAvx8PMmhzKTYDSP5JUe4WzNdn3gD/7A/eGDX1WzWeaeeeY/3BotCiGOU6dOWZPMKEK/y/sKsDLK6ju+5Sd0qSQeYJQngEY+VtZuGh4aNXqUdMaj1nNGAuLsW7truj+tGlyB4ACJ3lpHTbBjMQO9LquZoj76iUktawKTAANpBjLJrhMnS9xBjeMhdbBh0ZVHMX5ak/MwcrJS+sabbnJ9tPwLx3eYJZi1iiJeUnLCdK4zZ09H05kB1hlXerZUCvsp62CwdIzv0OW49u3X193/u7+ruL9i4H9bPbx9e/bJpnZYICs1KdhTC25p1jgZDUAFk4TPhAeWOriKz3ysKcVmNm7ceHdeEnO1lr7Rg/aSLwZQHzzrf1stuEJNROSjhLMsbMigIW66xtuQVjQtAMumLKNdqXtojKDENCd26WDvD5jUOusKpNQjtYj7PzWksnHjRnfdddfZsEqQEGFxBiCcMXOmu+OO2yUly93p0lPWBGLvopk8V3ZWTedpi+/zmtQ3atQoYybxAC4cgLvnnnvczBkz3WbNlX/55ZfcXul99FTJA6uzWbhRICCjtMtTP59zwVvxaB6aykVZcTSZ/LD+M8Pjk082m3QN6VmgJvzTasEFjSAaTNize4/7QKt3xo2foO69mKGmxNdW3+QBJcLC0zwxx8wQ9r2T5V1S6+AhQ1vXblog0a/Yfbz5Y50B+baboBkUDz78kBlN+R5pFRz61SAtw79F45ZzZawtE6gOKZ4SScHjx064o0eOup5qou6W2eEGrSjCOh9nss9Pns3bv/Puu9wITaV5Z8Vyt1mAwAZ2OpJevXv3NCW/Ujod0ouerUpivdIqSVqkLfnycdM4VhkNJqr5xq5G7xQX0ovnwV5k8U+rV+gBF7MUMCTOmz9PV43VMeXP5lZB7IiwqkaewOBI/8QU3tJsoOswnaX4sj4yeJa5l196SSA56R586CGbURHi4Ep6ccfK6OuvX2RKM6une6gZw6h6QU3ZJCnwMyXdkDw40o9/TwUAdAu08uiQzBPf+D/fcGs1t3/cuLG24BabF6uELpf0Onz4kElkM6NQOxDDuhJngQbey/PpEctILPtaj5693MhRozWHTYttN35oYeJ5bqr7Vg0uGMWA8nL1vNCN2MOBacL0zsCAb0o8H5Bapr1bbfe6Dwr3ESm+MNmvuLlczdIet0ZMYd7XjTfekABDqPHhGmcQM0bvvPMOU+LZFwLdiKaZefDoZOYAFjdkJAWgAGz2nDnuSk0N2qhdcTZpWRlx0glAh6Li8Ak/S584ImDZ+kU95uWVW5rolxiNhw4b7gZLd8SYa4Cm/FatuDaNa9XNIiSix8b0ZWYoUHMFGwML79DH0FGQUsmfr+28Z9jl6NHj3LrOYmCRgPHRxo+kiJ91Cxdd5wZrjSCMgaFcjUkWOvmHd4CTlTqMOWIIvayPxh8FDlbwVHMRQhIAAST68Vxc3Nek5BE1pzt37LSyMNUGTDAHzcYdDVwqn8IjCwsS39M0qowCHD1LeprY6AZq8xOOTW4u1+rBRU8R/WeiloexH8N5I6ZVU9E0ME+Ex6LFo8kPDxZ6YYKM0R69pVRN5HLpPQxyY8tCGgZwpWMQoDCgRC9Tn+PfhBzhZ3Hqip/9kJxqAtEZAcTp06esqT50+AjB1XR64FJZ8qy36QHmW0cPLBbVYp+jE3PeepeKW/ljlAAJbcUE3E3oWj246BUBhinatAMFm1U0xnCAJOL6FTz2oGfvhz/NxyF1+wEjzU4fLYLYrSbxs5273ASZM1jKj0MqXcwR38V+xEGYGi76FnBNnjLZ9VcFoZfHVk2AEEkE8FmVzffkR6npnnxxJV4ObMdXGFJlQ2/Ej2nXLEN7/733LVmT5DUykD2Pi1Mue2lnLmYREoDl86PnpJixeiOVbAhIHhErRHTPEJpQpilXyBiKhELv2agmca8m3o0bO07jdEONufUBV42CICDiv1iAAMLgRV75kU/0LIZvGCc9dPCgNdMALPzs2ygsmA9lw59YLEmF58nooED7NG2I4aAQB9emcm0DXKIXREORZeEFoFLrYDqXMaQDepNnIoSVus8UPwManKApgeRMqempnhZjgqkuFRSp7y/1mfgB18KFmiakZhApg80qAIfOiN0jsQxMXKgo/GAj772+SWeiS5dubrLMERhhbcjoUjPYiO/bBLi8XdEzwhoHq5zUX7kIVIERPPtaHL0Wc9D7qemYDphag55ijPRBGv6XpOO/esUgJV26I2OQYMXySByRA08GngSgArBoKv19CMu3bA/AMBg9VswiwV1SuUIk9by2alNEahk9L0yM2atgTTeARUwxppmcMgRa8xU1KOaLjiMupkbdZM9eypA3Oh0+WQOWbgGRNdPKXrgPlSbefFt4BFyT5Tp9Qq1fcoEFMzdUr70Q1hOe98nCe6mFHoN08P72nufoX+JF8rOs3gWAWCIgQ+Uhn9a2m6fu5W9SR68NPPyRC99Gj+YnX/mDLh8m8mzyS5uQXGAkEN4oCAP0j36V/x8RWQzz2hXA4ivflPo7/PDhqXmdz0H1fIATk1YURQ9JUEWgo6BxRxhsFc3oWr/kgnhCBdInSUrdwQ0IzL+IGYYnC67A4YFnBTWpZegiomRMRN/0zgPLK+o+q74cPmtBxwpmllA+8mmVhqKbHhZ1Apq+AJZim5BchiqPpQQZgQcYMcOEbiA6PUTf3ACuRFD73PvrG3tKvmuKO0s7nlDIvIEcsOul3QssMi8AJrN36Z6r3WsKtXcUjArlDa2RZ7Nc2obkEukCVuAB9zDMgBIxJkgm/FGa/XOS5sEv6dN8d6ZDKnnDE9foPkisIKniV955B7Cib0ME0ZumvrQJyeWJH4ibQkIROAxkB9ABP1rAGs78AGXTOkCCi0swA4j5Kv9RjsxPf0L4OLi8tErmnIrFPw9Ni6jJ/7QJcKVSzfMqSWiAZBILqYV1NdpGMk748N4UsOSnqVFn/TnAIQAnkaAKlWwCq9+HsImrPgr6WOL7Zrhpk+AKEgBiJ0Aj4vp7XWU1xSqvu2okD99V82yuh7iEUh4CcMhOuvtQVp9dgQ8w6tecrs3oXLUR0QAFiExq+ebQmkR79l/xbMMt/kVtUTWpvzVqMXBwG0BV25UMUl6TfvZtkINNmvVEYm1DckWED6WC+DgDjEknZhfQHNJb9PKqysaMwhf+ipLf3I4c8AvYSEpTwU2evmeYbBaTTWUs59Aj6lXGfJv8tm2AKw3ZTGIJSVz90ixqtW8mGbr2LPQfJsMSJk1kzeBl0imWrsmgCFx4x4FmYaMK5T/xTWJzG1HbHLiSNR2gIIsCwJj9IBYhvfSPmQM1AGZ+Xup5JjXvX0CTcDGphV94lwRWLGz03vcWEzE0+U2b1LkCwAw++lNVGRR7mkX9EFwR6LiDhwGIccDxrlmc8mPgiYErCSKGgbwhNfhxDTYw8stn/l2z5D6RaJsAV1z5tXsVzwBGG4eqBcD8H0EqPBvC9ATwInqEGwsU+dkX4b4prj4zATghReRS8Et/TbLS3gNA/dDuQ/FCXE11TeYoQymaBAhMylCc9YkG4uNo8oyi3CsfZnlHVHGPX0KK6cH6VVx9WP8cYvL+zfNXPT5mNaS4VFAFZd6s8/GpH/ougDEliiZ9rFmCDCcPg7M7dxvQVK+b4dnAJaKDdfsx7EOzaMEDiPy3lk9T9AVE40wgRAgXnrN8VXZMV1KycYDhF8AEyKo3jb6ZjOfMgGgFifs27X3GFXoKlc7BPFxt79N90xC/1HgBGCn6ZAEUwApAD71Gn6eQjjeuVvcL75ruatDy+I7RMqlH6b0eavxslQC59DXDgJmeFU1WlIxLrsBESsA9h45v37Y9awUyKKTgIdCU9NVFVD4CuJBK/rlS224LalG+PPAsfCynqYCNvcr6rQdPLJkYoKpLrSDRPOD4wvKtZtXDLBZHE99mHFzx/MOsQ1qG/sorr8S9s3AvSZQSK7iyX0KCASAFMn8PpvhHBiyLhAApkTX5Y1IyxZNOlVYeZMmeYzysjS2aQh+qWvxt09xnB1yROIdh7Ae6Tzse41IlQyaKKDYomqiZi0BhxnfdY8uyOfEAzJDlAWfpWqBkbec9/2zg2uLMTn7rU2Yrhorly+a/4D7oXPjEgUbI4EI5/Sxn+UflDu+b8ppxnUulrpZ/rMQsk8+qCz0lkk6kD6DU7IEX/sgZgABR9LOXkT9MsMUR1eKwz5r4D7llfFD/EnO0UsGUfKanWNPGFb2n3IE2TVwKkss8uEJNSTDZM7XpymZoipKDTUiwmsBK9hp9UMLx8y55F3ya8opUCnpVSLeaX+x9UoKFRoi8GzQNnMaGZipOyFEoQyu8Qjn9IgIGbPtHNZcAy5R6AS2SWOGa+EjMwA/phasue82ryf8AmnQ5wTtIqiSw4jkWsPTo34m9EV2avABKMOOSyxOl6YviZRTpekLzjL7lB63TAatmvfIAa/q810gxAgTyJ+FigLFtk/QiDq4k3aMKouL5r2NxJCJrmpuaFG6adDOYiidetQoa0TMpoTwjaGpwBiJd4wyJh43z1D5o0j8RpFQGr3NRMm+xD/upUg7bC4JtkySm+CXLRmYJDxF8pcKnOVzGJVdzFEI0BDFR0uFKk+iJywgBuySzBwR7ZrHxiD/rMJlbAxfRWGTePwm+ZLhwFwdo/D68v9Srn6bsiwXcfFPoKwS9YDb3pcjddR42+3HhPNDC1dewuspwqXm82PdtA1wxUYNlGrKeFpgOHTwsqHCCq04zO8WpY2UJcAE0niF+kFoBJAGeFyNebe9DPI1jbARvw4ZAFeWP/LKZL6drUFnOaDNftoHCSOQkENAAACAASURBVM325ry3ze9U/nQTIWvLazb9swouq0nZzH0sbnrc1GR2CzyhLboPCljsa0ottwMwdWABe3md0mlm+NFbRB9LNidRBAJj6L0b6JSGlwGxxPCzZqe6XwBVdd9GPClBpBVpnJGdkIrCBr5skAKAkLr+WqnDGU4Y2CyvKo/PF9WDMkIT7pvHZRVcVqQ0TMh8UT0w2HiXTW/Zxx2QMeWEzWgLi3TeYffLrKazByrNJYc3yUNhID5NqB8KCoBKl8fAKBgYmBn8QnieAWwAbfC/2DXERzgDlsYKARPnEJWWnrZN7UCLnTDbociOYjmrveY5goWssz0lh1BFaqXlL10FuFg+Mvk+++BSbs0YHst1YEhthQ/vuRKmtnBEGXQkpFCJ9hA9cUpHAwsvnN3TuVM3gUo6iXQs21NUXODYFRyntrLRW7l24iMdvuU4FWIMztIOD7FrMoT3JFw8r+HZ3kaVK530i0WZuPVx+zJTQU6pPMSNrsivRw9t4isdi83qaAo5O5v37JLIgfGqN9oHv0zH9h1V3Yn2IIuVyZdP+Y1SrG++EhlswE3GwUVBcXFAhIKEa135C9+nhgn+8XgtHaSOfpxXfa7sgmpuvusk4vfu3cM2Puuo0zTYM5WdBkE5p16gs/TSpmj6TENTB7S1tw4pEJMqtI8VinMcYKSRmm+kHIz99JNPtSXke3ovk4f8SLtHzx5uhs4+HDRokNGAd0iii7ka5ZLEZRNdNrRjy8o+2sacisLep/QUoQeHGZAeW1VyDiQzIw8fOaYm84LUgoO2DToSNGJJIguBluYRgT/xMoM3GQdXyBsFCD9Kx30gcSoh499wH3p31EROmeAkr+DihEnci/scS0dzxyn1HAzQt2+xmkSBSkznHB4OjpJ27Pr06m3bd3PcHYc8lZ27YLWePJ3RxrScExTyl4ifxGMcwn/nzp3uH//f/7Mzh4Zo12eO1Dut5otm6hqd7TN/4QL3uc99TtJGW5dLv7NZoaEQdVyhUQcpffkCKiBCShUX95HE1fEuyj/61hmd0MHer2zqxkllRTrrmlPaRowYYXokh5BytiQqAM0/5SHP/NA34y6UNe6XqfuMgytkloJwj9Tw3WoPLfxx8XDxwqCo7tmzx/3sZz+zzWJvv/12OyksxBfCxp99nNT0PO2o18mkEsBiD3aalSPaDvysDnxSAyjluFTvu2tr7+7GQJacFRSqhynGcZIszWR8kl5IL34l7xzctHrNajsa774v3WdHA+/TscQv6zDRN5Ysce+tW+cuSGe66+577DyheH7jcdW893RC4gAuJBIAQqJyQtrx4yfdSZ01hHRC4nJiR29VmG7akbBjx0IDo20brjyyizOdmPBMnIHuNdPNvE/GweUZTUXnhHopnNo89rx0gOM62hcRDsFqc3xD9/rTTz91P/rhj4zZF9T8sA345f0v9+2TaA+BjFmKCEXWbECyjxJ3Z0kKDphCBzujw52oxSi+YBod5JgkC1txI7nyOxRaV57vFKVVAt9VTKndZDhKk1vyyMkbHFJ+p45fuUPnL55VZ6JMeZ165VXutddedb968hfuX7/7PeU5z919z9125qLlmYTqdKTtjaLkq6vAhfTiDKOSktPuiPbd59AoKgV77x9TxSk9fca2u2T3ZsIQ3kCEpFPBOeqFyoDzzb6nH/a+7mpqswW4jIOLAtAUoZOsWLHC/eDf/90dlbL5zX/6J/cn/+VrtqltXUTm3Vk1Y3S/0YvWv7/e/f3Xv66mrpeXKiKYOYVjM9kpk6eYZAB5nFaRr/dISvZi55AAajvEBhAGEOWNpgIJUHZeTYxsR9Rs9BcDmY+91r+Ujeb6tVdfNXNAPx1swHbjnORBOsNGDHd33n23K5Pfr37xS/f9xx+3jXRvvPkmqxAXkx7oaMCLcOhXFDdUJpp3AAQozBSh5pNmkgNDadKpzNjBeF8oaVyo5pIpT6/oANGtn26xyuqBpN6synyVDl3//Qd+3/Jda4Ev4UVWwAVAABcnq774/At2dg017nd///cMXHXll8Kjn0BcU5wFjpXLV7ge0ikGDhpkNZHvae4wIF7e73I1vaqp+sdRJmGm6Xkp9/SaaJZt6o2dOcGXqrUqtT+D+rTCnDXishe9l2CAt6Z0geEmz/SnpKTETkkrVQVYr3Meh48aaYAjz0gqrvPnX2tmhDffWGqnn91w040GLnJwUSfQEAdS2B/+julEdjpVkMLoWGWfV5pwD8Rz58qlW55N6Fh0AgoUBz3gDz/80H22e491MjhJF2CyFTllhyfZclkBF4yGOBy61FuHB0ABtuGG+QAv7oJIxj/8eG/h9N3MWbPMGIoEuunmW1RLyySdOrjduz/T0cCcyOWBgJ5k51mLMRaPJAxvYIJuiVHP+pdX4bQAyBRbS0PZoSPA99Rmi696Fj2oiEIOswrxEC9DSs8884wrECOnT58uiXtOkoaeXKUp8vPmzHNr3l3t1q5Z43bt2qUjU4ZZ3kKZfYzV/xI3DvohUck3JKM3TLNOZQFkVglBFiEUgJ4q4azsSp+yEAchuPa7vL9bsHChTDSdVClL7Vhlmsy68mKRX8Ifcp9xR4ZpIibriJOJOqCJg8VvuPFG6/nRrFQrEIyMmBn3N8br1fgJ492gwYNNmhXr9K4+lxUrnr5qEnsbIPiYpgPAIfH4DoJyDwD8j+YS8OiovMiPa0hPuJK/KoT5AZ6QIZgFMqNn3eHwM4bpvB6aqldeesWdkE5ZVCjJKeMnPUeOjUF6c+LYtu3bzbjLN6FcFg9xcZPiDLx2ZLIHF6E8SFQexWGdJMqjH+UDWNwnyiP6A8x8nRnEh4COJpbDSDljCLNGkU53C4bjlOQz9phxcFnNETEobP/+/d3wEcNNVA/QPUZAwEUYrnavsPYv8oNAnD427eqrXZn0JkACgSAozQRd+07aYx29AmdxQXyFg8hetIg96F4GJH+qBnu8W23Gr0DEhxlEYH+QcGKGvoex8fzZUBF5lbSgknA+0Ac6WYyp25OmTHFjx45z27dvU9Oz0fQ2hSQ30vUq3C4dsQLz6ZSslP5J7424kTxW9ogGgRb+CtzIOyCFPWSQ8okG5NHKFCpN8gq9g4OGBjqFp6IQA2XjeD0O0KIFoTetV/YufJfpazJHGYqZgoXC0YW+/vrr3YiRI1zfy/uZf6hhhEl1vANEQwCXmhl0g6JCKdqRf7duXWUE7WI9PXQkej4cywKQGMaxZkQEg5zEb5JI3xIvcSR/XvEnfZgNiSE+5yKaGUJhdWPf+XxG8cmPA9E5T2evwDVYR7hcu3Ch5fPNpW+6jz76yJgauHZa5g+Mmeho69auIzWf11jZ41QgLfuRIyqHfiF/zOHy0kiVhLJEIPP3voz6zJxisffWREfwyZeuhlW/q2jIOY7oqT7u8FXmrxnXuX71y18mcgnfjhw5bCeX7ti+wz11+CkjnhFfoXjPQeVX6FCoN5a8oQMtD8hepNPD1NRgjoDhGz/cIMX4uOvZq49sWF2MIBCWY4AZe1u3Zq2apGMCIfY0RRpxi1oDQWXoISXpWXqRYCpSAb0FYOHtmUG85OnjTR+7H/7bDySDvN5mgfSHd4xbrl//gQGXw8qvvfZat0q637Jly9zSN5a44SOGi/kFluej6kFe1rfYjltB5/rJj39q0ogsEhfZIQc8m5PHjh07TEp6nUlvopfkkcoSAGEgJAI5/ABe8PPARAWIpLPCYOnv0qWrnSuJkg9tSDubLuPgwjiZdFV2uOb9999vV5oW75JEKZKIPqlxvl88+aTOed7k+uj8GyzPJfKjt0NzQ3f7mkFDbXwQYiOBPLjOyVi51oheqGGeELfFLsIDFnQg42Ii7cAM3vl8wCPMF4F5n2ze7H7OWKOaQZwPxeAKThZ/9VKp/TB02PCh7v7fuV8djN3Ky3t2lN7V02a4XTt3ugM6e7u/7HNM+Vn25lL35M+fFEPFUoBlsSbZWyWgIzXN8Km8UkaTogpHJ4Lg+PEFIIo7mlMf1vtyT9ltuo6C8g2dHWx7XXSuELZBO2QUhGfRZRxcN8mek+oQ3aGHQy0LxAm1cN/evdZ0FMm6PknHwmGv2b5lq/XGemnoh6YIhbtb927WVBBfMB306d3HJB2iwGquSAnNrGkQE9BVpH5blkLNJl3iCPngpTUv5udcLw1uT5g8KTpeL1kawIUd7ay6/B/rwPNKSQDGLum4cI71499/wj37299qeswRrdc8bOYOBsipPF11Bs/oMWO9NCWDoMUy6u8BEGA4cviI27Vje1QWC0VIy18Af8hRKA+SylQCvTCaKkqv5KND4qlepsBGs8iJuHQ0CgqKBLJzIaqsXDMOLnqJcQBZ2VKYGZhKOGodDl1rwIBBqvlTTIJxnC9NENLDE1dL1KTEY+8BCIRHb+B8wj379po5wSKyegqjFEYEreyAMq6hHYAW/Ugz9LD8N15qBcBxetjV6lAgRSyvygAQAAtID0YddkiJh6nEhfS96ZabNWy1z736ysvuheeft1Nju/XoqTKcsSaSJnTyFVP86AGmDyIkVuO+jx9w7RSwPtu1sxrwCWS9X/QkSfFQjsRVthUkleVVsXI1ySXJak5pkFd44w2sGIw7qKPhX2frb93g2votN3fMY25ltdQfdi9Wfd8truaXfAgFDj7QMBQ67sc97wCY0VkE76xaNWDAQLdfZwT2lI1s6rSrree4Q135C2oqABb6AjUYI6giNjFPz8dqrCVgsRoxCefPBdILfZ/MB8Sn6J6zisZAYwwSEzrLFtRPJgTMDNZbVUiqQF5USQgHsPdLRzx69Ijy3c2U+9t1zjXjk29J9wKA+FsvVoxkHlZx8WWuk4ZzKsoFLklT0o2owI3l5rj0R4Dgc5Z8C/AYO61SpUmWwz6zZyoG4MfxPc9WWSwmfacCQD9Pw/OmavjQ2ftbN7gs3Tnum1tWuEdH+0xs/dZcNyZvbjW/GtmLCpnwD5RKeKTcKDzNAse3jRw50nSrKVOuEAO97vDEE49bE3VWFmWkCaBhYiBE7iHpUKgeZZCAxiJLD2aI4AKt5xS12GeEprKDwMn3niHVJRdNGOYQxg89QAUuPo3AxSJfmnlMEnQ8ZsyYZTMQmBJD73iXpNomjU701EyG7uox45AYVBz0nuQ8K4vU3vOH/HBmN7XN8m1vBDSKIMCo2NYxCeAyEEoq+5bCg9Xfq7IoMB0i7yS5JfFMEgt00JGeuBKM3mfnUg9wVU949KMr3BYngD3wLXfbikddhLlEINHhoq46SaGl/smTgzj9QeT93MCBzIeid+YPEYcYDG8whgbh7ExEgaWjmEYNxdpszghGE+h7UNbo6p2RES6JGXmqxgDP09brasRJU4nMoPmgGSNG/BP5JR6lhc6CDe/jzZs0Q0GnzYpxzBgtO3/BeocLrrvOBpiPqqdM3hgPRFIyl4zyef2TcluuEvQCNHRUcLZBsK6Cjv5IR9QdqgCViGbecRxLJQBRBVKPmPIQGkc8oTzeC9tapemyeQrHsA8D4fmeAPZNNv40GFxkYvRt97o5jz3lXtj6aEKiJTIHk2OZrk4+Hyo0YfF3EBGm2WxS2YWIQpXVndPAss2BN3CdiUkupvWKYDJHmNSKwGVxRlmg5gKWPHQsReinNOt44kpvfAwSgFx5hngGMRBdoqEdBs+RXCCf3pyhTfEwUNxL01xgNrodY5jMzbc8ywwxVfragYMHpNw/Y3lkagwD78SpiQwqTzTHKkG0BCysKeYpUVnIm/4ReYdoSjZlhF40rfS/rTMgEJN+cNjIrALxrWhDmkgsAlmPVPTMV8XMpmsUuOrKEIym1jTEwVh4h2Q6cOCgO6lBafOTJ9NLsHBT29GBrFkUIZFcpFVaespmPuhzaGg/0vbPDA2J6KqtmDNQPKoivcWs+cYiBVb6KOpIGTJSSj5k/KRDkUfTQrwwTgkA0lOaePiZxjax1q9dvcZNmnQFSVo8hO0se9LVV0/Tu9UySexQM8/U5AJ36Ohh11kKPlZ/iw6++y/tGT8mG1IOwIWtH8dfnlnV46fMyMcy5PPLbomWdwtNNrzkotn0jrlqahZVLr2NKizmi+h1li4ZB5flE2o0IOM+qGaCivCH9suiLcCYUqpoWP6FEuqJUx1cjI3xDbNHobWv7QKqqIbOAvgMXAE4yhewrzTAIdVobHxWqRD0LvGACYcOHLL5YEGhVzDjcr6+PXHiuOlGTEBcvuwtSarpjnHPsgtlFhvx9lfPd+bsa6xzQjM7dOhwm6hYcuKURVWNsxFWAK6BS3CibIxPmgNYPOvHeGECPApPE4+B2Jp0XSmAt3MhVaNKLn/mflExYQ3z21AzFNLHn6W/jQLX1heecivn3Ot+PDp9rigArkFZV2Ak00FW75yTxIBw+pWLYTSXEJZ5XhAGyzPTeCvkR1ffdBillpzCSy2vNP8qNSVMGwZk+UZsMUJpFegP+eMHU2n+GH/El3QOHfJTUsw4GTGfchH2tPQspCA2rsOyS72q/ce+eN+XTPoqiBxzywpd3+J+XofSNx01XMVIAjY8i1N+pO2d8qsbygtwyTvl5WeIBmwCGOWlHTTw0OxRSeSlzyR5k7HZsyS06YtIY31foaV1ZzV5kgpozaIkmX3oM5CVvw0Gl/UWH3PqLdZU5i2HlCxZzrSZhoi4oHsRHvKesbG4A+7secQ3DnGuxavSgUKziI4FuAActZlmEfOEaObBFDECoIWab41QvpdiMESCxZjBLd8ZaNT8ES9Plg+B/LzSIq98HxopGHv2DGsfK23QmtmnK1etdNNnzXTjJkxwZ9WUoryzIIQZoMyKxQiMoZhylkuCBPKEqxWV0iqtE+oYkCnLl/7gZ3lQeTBhAGprvRULeKKZxNySbBYpDf5hvNGnUiHlH1ApGjWL9BY1KcBCZu9PPcC10j02Js8JT5G7iJ2LUFAmAlD46qJXEQiD6dkyZlQG46XAJfFNbaPHRU8RXQvCcQWQfAOjQ7NBOsYMi0/NiCgIEat0Ull+vpdgJsX0giwSB+zAD6mEJ0BGST9/XhZsC0QMvokirF+ges4N1dBPj5693K+f/rV7Z+U7Ml8MURoAVKGVJ5pzLOElZSWaRbHHddfMWbOvQZ/I2R3J8k9pUWnIEEFMEkdBTXIhbVQz8CLXBcqz2dEEMEYwyCpviMcbib2+yAf0FtFpATfTv+ktEi6brm5wjX7Urah6tEHphwynZjtIqfA+NVIIxlRjpi4XMU5IzRNVmCSIkZQrzRWrfIgDCQZLOsngWZrPQgSBDIJRrc3RjIgZ+k8nS9iC7JJYeoCo9vMhiS+YJmAy6ZOPc2WdSMKcXRSONHZu3276E/awmTNnatzwLbdm1SrHlOdbFi+2PDIV+sCB/bJzdVdFoMKUyY6nlTqKO5gZYDq6Ij+fLTXJauarLJ2gM+q9kAZYAT2l4Gfyj+ZeoLei6N5n1oPUTBECelDqGd9kOwAWoDCpsfICcRG3XbLyp25wNSJJFEUIgYNpSBnTiaCAHMptqvNMZ1V0Dym+Q9ScnLEgFJxBbIZXABVinWYICXNehCJupvVgviANdBIGu6EX0o5aisQhHgMYXBRa8qSooPAnAS/fSGch7m6yrA8ZOtiVkobPtucpZVAax2WV37dnjwyi3dzUqVPd/AXz3ZM/e9Kt1qzTKzUvfcDAgVo4cVT62GFXrAl6HVXmI8ePatLjIOlpLB7xjPWFtL8Qy3BcJfptFmSoGNDRN9VqllUIerxkAdeB2qKmHnj58nh/Xz4kmToslnlogM6l3qKaZ2iE3ucH5UPhwreZvWYcXE8//XTECPQaRvnPmcXdeieURWWluMENGDhAgBpmIpul+EyqY6UxIGSuFs3fKe2H0FMD2OgwNDVEg+TintkI2G8Ass260Og/DkBZTZeOQi2GOcYQmCE//86CWnymuxjnqtSp2K9mboXpXGKjD2R/FakSL5FCj2mBkQFmyd6q5W8fbdwka/0W99xzz7lFixbZZELKyUIRmqFSVQDMFnQaWHZv4ipQwugC6J07KZ2rUlKYMFZJo2Y2dFDIBmXxFYNyUZEBY0RVLooISWxKvoUVLQAVzaHAi9pxIbK1VecGsWfOZRxcQzSBjjE4mP+BVu6sXLnS/e7v/Z6GPgZYroOECEVgzR1r8xhH3CbmQFAIu2vnZ1pEcMgN6D/AFrpi62I4xsAl4kEgBJGt9lFk0DjoKNZCKJ5KCKgabryLiKyLPkKx1nt7ICdIDS85AKk+goPeNGFfEwbnGegHfxlE9nPaJ06c5B7+oz923/n2d9yKt5dpqs0+AY/ZnowknLcerbejCQbCKnkiTe8EFLv16aM7VUmyGh0EGMsPKSs/ViGi++hj9RY9+HkXhrqIDl9fcjojfOtHOAoKy62DgS5Lh8YQHSLL8DXj4Jo7Z44RhqVWL77wgtuybasN68ydN9f8sWrHHUSjqXvwoQdVuzFa5plk+I0k4G9l4Z41e5bN+tyoWZ6EhegQHGJ20ZTnRYuud6tXr7U4IKI5gUPsSTJDnh30Ld9XVam26305+lgU3qSCnmEAzSIzIv700UcVVkECBixi/8n2HdvdD574NwFUDJUXw1YzlM/fkRnhJz/6gftEw0L9+w+yRREVQj3NN6uy/+Iv/0LxezBYdKlxy3OjVup8+1v/bBUj3nxap0bpUXZfDklixcsvTyYWKlZUegMZdi3C4QygQrAf04yAaxLPXmftT3VOZygZA4EIQbeaWaToSrhQ2GrJiFiMD44ZPVrvKXiVNQ1vaJ4W5GJRwQkNB8Fl5uBDKAhKs4RkKJYSXSQbUtD19NokgS0aFRCpnqq3lqRnCpDSPwyUor2F1w1mC8wMzHZg6fyUK68wyWY9yMA1xQKTSRs9kLKdVnNHHAwtjRk72s2Qgr99+3YNB5XYoLpfzs+kyS5u/LjxNv+fdE06Wq6q/2FlDhECXBtViF6TP69aSMKRYMIhlXxv0PJB+ZVHmkEqKrTCgs99kVZk03ul6tnIg+7iMSWizNBNrBplKEZFg1T5TLoQixgwJjKzk2VYFNT0CIXxjKZwUBrxD02hjB51QaHl1hMZhna0XfRYIdxdkwaZ9MbXNvUG6aBvPXiJQz8kFz1IxVMuQqOPkTbPwWyRTN13HJBI+w7sM0ZYfsiKAEe++ZE/8uvtbGVu/Qfr3SZNGmSW5zGt/mGkYOas2ZpXf52ab41PSjfzktZLlgQ4RHV0vBBvuBI/wMdJa1J5VA4yImfjmMoDtCVOrv7Hvb5CEhkpVSqFK5XNMNC9oEhrBpRHZgkzIN9VS//RaRFsnmaWRMb/ZBxcZJae3aZNm4z4tO2vvf661XKImM4Z02AeA80iOsSBjThAQw/Q26vkK4LYOxHelHCFh0ql2qUGacFmIPAD4gFsepuACZAmGaI9IWQ3A3CkRDhi/fjjT21bJdZYersX6SbBRf6xUw1Ub/DmW24xJZ1l8sR14jhbHeW5vlqke5sU/Ku1wISFp4cPHdAQ1Slv6jBApYLKlyMAzAbKlZtT0i9PlZw28wvvbMWOVIogoakk/GjqrAJRHpUzVFo2vlul3isD6NCQ8kBROMAdfkZriJUll/FmkcLBNAZ9L9dCzN6a9MdSMJTxuDMpFfewe19ruQ01GPFOj3HXZzvd0iWvm70LUKHQI0FQYs9rqsv7779vzdEUzfYEfAAG6Xb26DHNRBAB1YT6qu2bF/aQYCEI4Vi8e0obemz+eLPN47rtttsUVrGkobuPu0hbDfQyacKwDkylx1qYD0irbAHwLO10s2njhzK4+mk3fhQhWT7iT3UGDJWH2ROrV6+SDW26pAyrrj0AaY5LS4PepbIrOiYQlpaes1VGjGTQG2X5GJKMjVAwhWCu+WznDvXImb7k9dXTmhwwYsRwA2NqPjL1nHFwhVqGcZG5S5+IYddet9AYSKbTg6o6qQnDhm3U1s7qSS7+3G1u8LAhtm4RncezpcrsTMOHD7cm9KjG+OhEYPoAjPToaD6p6SUnT6uRVI1VTYcjx46dsDHBchkW2eEG4+3uPbvduxrGGTVqlBuqldGJvKZgANBznhGrlVgIu0bmhWHDhpvZJSy9J/9jFM8kza1f/vZyLeLt42ZfM9vKA4Cq0yBKAKTI9dUAOKu3t23fJimsTYIFGHrI0LVHd000VHnYS6xSz/hh0cdgy3wyQI5e2l32wp07tmkl0U5bonfn3Xe5j7TQBZqgi5IUFXTc+PEWhyWchT8ZBxeEoxBTtGCUjUR2a2HookWLjKDViZq+NNikWEhwl3aPYeHDBI3XMSt04cJraxCC+Bgnu1bvntDiiHXr1mqF90QNFneUtbzYdcwrNAMmYDspacB4GjA+I+bAJAjcW3tQdJVkZU586elT1uTVlU/AgRHysCQSU25e+s8XrLwLrl1owLZvxTz2tpir/SI2bNhoy/1nz5ll4fgeUKQ6Dy1nm5ZMmzbNva2laqyFNB1JnYGekj55eZ1VGfyESdusTk0iEirco5f1VQeH5u6dlats+tKtt93qkMTXLhD9sJkp/ZAWfILe2XIZBxcZhXhIHXSnsCsLRL2YgzH8+PZKrWW84oponpQ+RJEPcQTm81wu6bhw4XU6Ge1VWchXuekzZkSzOb1RlQWpbFpy7IhmG/BPgiKMAPXq1UNNWLGB8j9+82s1H93dzYtvtvTptQI+0iA9ruGH/sLSLOLDCs/wz9ix403q2IC6vkNUIrnHjh2jTsJeG6aCLkiXuhyroseOHWtbH7z26mtusEwYgzUrl41VTLeTLlWiiYlMzQnynnyhqwEsplG//uor7uWXX3SDBvbXtOtFrpOGnIouK7JypKYdaJnqn4nnmlUoE7GGOISnwJjgVZ8r36T++C74hTh4puaNGDlCALvWDK+/FUjWrFktSbTdHTx0RIwoNbCzVwJjlIX6dVbTMXjIYNMJ339vvXvi8cdto5DFt97qZktXSk0nczK1FgAAFQdJREFUXi0AxylJODotgGDQoIFu65YtklAfSCb6kCjMAIHNUrBzIeleX7LErsQNGNI53lGxZsyc4R75o0dMMrJLzrr33nc7du6y5WrorkgoTAqUnXuk23A15axIX/Laa+6nP/mJKvV5bTx3txs7bpxwntoU+9RJL5su45IrZNiuUd65r42g6QqXLmyIl/Dh3mqspEEf7aRz+x13CFA73FtLl9q6wSuuutItvvV2U66ZYMdSNVjKFo+2PExDSuhYzz37rNu96zN3z+e/4L760EOSGMUWP70plDvLC1JL38IkmLtag9Q7tfxr3ty5puNs3bpVu9m8q0mDU12f3pcJeExe7GBDWmyEi8634YMNph+hE6U6gxrpKR2mZmO7u06qxOuvL7HV3Ey3ZgRj8S23GpAAFE0ajl4xLcTBg/vde2vWuv987lkD1le+8ocq0z0J2yBhzAVgK72IPd4/C38zDq5M5jEOohBv8OM53ENo9LPH/uzPbPUQ+spzzzxrhxyMHTvOFHR222FW64aNG02/2iVwfCBrOM3bXVJ4H37kEfWeRpiUq5XsQgEdhMPqONA09ZPJ4oYbbtRwz0GtDN8gsL5r2zwxrndQkw0PStFmoUlv7chzTpuyhfyGslS/egBHmLa9tP70T/+rG6k8vfXWm+7Xv37adKjh6jxQppGjRqqXeNq9t/YjrZfcrUW6m9z2rdtMh7z/d77svvTlLyt//aw8RqsoMWZcmIsqTN15ij5q5KVJwRWXSHUVKvVd6nO8rOEdPT7MEAPVTF019So1DT/VmsLD7je/3mDW8aFiCuOT+8SIo8ePucslHWaoV3bnnXdZ5wNmpbqQX0tDzECaoUfN0p5h7HuKDoW0uuXWxbbM7JWXXpZEKXRz5szVqukdNqt2oJaTVch4efTYkdToE8+wG+nlgYUEczbYP/uaawT4kTZa8ItfPGkzMVYtf8ck2+X9+2n89qxJ3VINSJPOzVqYe/sdt2vbqYkGrECbREKkET2YtIy/yMJ9k4IrC/lPRAkhaS4wgLIX2LDhw6VsH5L+tdZMFDZHTAAZP36cWasna7AZ5X/0mNH2HRHVYEbggK4mzcQZpjYPGTLUmk+MsuxvP0tmhru07+kzGgtlJ8UjsqFhq8JsckxAPql9S3v07FZTNQjxK964tAz5oMlDN7xDTf446U4s9X9HEwGYNGlTapTnSSoH5prp02dYJRk2fJiVg4oR4kkQqYlvmhRc2Sos8YqWVvOhH9KF3ib2oalTrzZFGimDg+jcY1gEGHV1xQPDAwYsgugP8fg0tWuiNhu5W/oNTeWLWsrP5ihIDzoQtuxMBuVe2he/IS5OK/KKeYKeKJKSphnny63ZG6pUbKeOehC+C9cQzj6I/Ym/j3ln9LZJwZXRnNcSWSA4V2o++9inc3URNwGm0IaECHhhfj4EHQPuME1geJ03f4EdenBI88EYsC6QlPOrdUIEyWu1JjfpXesd+QU8bDOQ6njHLy6tGhp/apyZeM6uKSITOaxnHAEsgcA8I6EC4Wu7BibUlQx4iuMMacd3H328yW1TT7FAC2FZucSmKPd8/vM2vrgzGm5JSMxaEqhX+lFZaitPiJoyhvhCecO75rhmF1yq1r6ON33RAnFhSJwp8ef65ooywLTAOKCG7YodBndqHy5mHLDETbx102ZMlyFW27To/pimQ59WU1nB8A0vM+AoVyhDuOLXEl12wWUlbjp4BSInQVA3yQMAU0PBqvgvvA/xszSf8T+aRRzTg1hZw1c0xeyVOlk/hpkOaQO40xolYOZCPF8h7RCnRXSJf0KcRFO9MlxixI38PLvgEocySbxGltE+ixO+ofEY0GLSgZkaYdUyWyUxA4QxTpZzMWzUWxMdP3f7HdLDhtp5iHmauXBZcXGdnYf65CnQMg7S+nzXXGGyCy6VCtHdlO5SQFTffDLxceu2rbY//psaEWBPLYAVXIGm3owYMUJTtGfbdKOu3bvJBrXYrOXZAEa6MqfzC/lrqmvWOA8RsQOhmwSXDcKGuDN5NR1LEYZrPO5QLgyyZZre8772QX1LA9f05JihQM+RK2aIcTJHsIkdExxZVuY7An4NQDzOhty3BNDUN79ZAxdEYOrMSM1raisOYDFwDYDYwpz9WqlAWOuZfMfRKSzysIl6skXt389ZjlLmZYdCguPPr724rIILm8zNN99stARsrdUhwbC2Ay4MmZ98+oltsXSVVgmN1syID3T+zwta6YTRls3bOAKFhR40n4UdO9rKJHZ69vPxvRmjtdKiIfnOKriYPsJ88+BaC8DiPUWrEgKVkGWrmDZrsclyDYwf0Ca/jASM1HQf5ui/u2KlbRS8T/u57taU7D17PtMceLY7l9lCCj9TtDd9tEmA89O9W4uKEHjXmKvWr0K57Dii5tfUSn1mS+PLAJWwa/3d//7fmomwTttVltj4Yvdu3bXKaa8lycLfjp26aGqOXyxxUsfundLBmzSdNv6nscyvPvigHYwAXeoaespsGZontqwO/7Qm5bNu8jO8ouVnahLRt77y4EN+t0JNCERq2YxV2bgAoP5q0xMZbnVnK2wUMdOLWf29S5MH2bIAl8U6bfG3hD9ZBVcgYGtpDtMzRKiiuyfHhDv2rOCYvmLN0QdAGE05pYyuJYdJlevgACYLon9hXNWWcpqomK8lYqW2Z0SzDVmkL1xWfbMKrqzmvCkjF3CoKBxa/uknm3VK7CvuxptuttkIbFXerRsLTDk/+5Sm2BzWPDK/0pyVO2zx1EVK/pHDB92yt5ZpVfZY5TxodU1ZiKZPK6vgat0SK4UZBjC/0oZ9t5BEBTJH0DtkVREmijLtiIi1npXW7CdPz9KfUVRmZ0yz9I1mNbi2IdlDaWpekyWt+S7nE6eAhA2NI+OJzJ9Czwo6ZfyKpZ5pzoRBYU/8ZAPDzwOKmPi1bZdVydUWSRekTW3Q4D2KfXAWPvJLAsu/bVOSPRQ4ds1Jrhgx6ro16WS6Ul2hwjtvvghP8c8k7xLebf0mB656cjhIrHoGzwUTBXLgygoMvD6WiDrWTCb82sFNDlxZYXJKs5iVNFp+pDlwtXwetdoc5sDVANaF1g39q75qOd+w+Yk38tf3qwZkqgUHzYHrIsxJp8jXbkII8ANN2mVHtqwEnLiJhpEukmSbeZ0DVwNYGYACZDRV3gyiDFwDwNQf26WDJQMn1+hfA5Jr9UFzRtQ0LEwnrXwwQ4mGotkbVbvlyOLOwDU/hn+YIGiWeVnxkVwMdAcLPdt5MwkVkLUXlwNXQzgtwDB95oKOlzupzddYryjR5M5o9xzAdVLbWLLRLTspn9UZ3Exx9k1onh12APjaD7S0A3VDaNvew7Logo3W2Fx35crldogmG5MYaKo03UZgYvdoZkMwgwJJxXQcpFeZdqIpLr7MpBl0rF06th0q58CVhpdxhT0OAuZnHTt21M4bYhtNreOx84EqtXEvkwn9hAd2O+TgBu3yrLj1iQ12s9NfufbFZy/W9uKyOs25vRCRcj7zzDPu3i9+0Q3VlkevLXnDjRgxoj0VP21Zc73FtGRpuOf8+fNd1y6dbCFsDliefjlwNRxH1b+INHRWBZ0s0d6n2ng3uRC4Panv1cnCUw5cNWnSMJ/I+LVm9WrrCbKLNEfTeBcsYw2Lsq2EzoErQ5x87711FlOpNtZdLaDlXE5yZQQDzJVnN+eOOh2MI4dXrliekXhbeyQ5U0QGOLhdTSHH0LB3RH8dprVeh1xxxiSLM9qzyzWLGeD+2rVrbSVQH+3LNXv2NXb830cffZSBmFt3FDlwZYB/K3XYOgdgsenb6DFjtLtzfx0M9VYGYm7dUeTAlQH+rZUCz4EEnBjLlt0ztCcE2yq1d5cD1yUigLMO2bmZUzPYHx7lftGiRe799e/rhIvkxneXmEyr/DwHrktk24cbNmgXm0p31VVTNfNBB4lqJ0X2o+fw+Paud+XAdYngemfVO3YI1BCNKXIcMgeHspUShzote/NNH3s7NdTnwHWp4NJZPNOmT7NYmNMVjk7hLJ433njDx95ODfU5cF0CuJBSGz/80M2ZO89iiU/Puf6GG9x69C5tytteXQ5cl8B5dho8rlPJZs2cZbHEBdS8efO9vWtT+7V35cB1CeBaJ+Mp+3ONGz/BYkG1CurV2DFj7czpZW+1X3tXDlyXAK4VGkMcp/MbOUg01RXqUM8ZM2a6pUsjvSs1QDt4zoHrEpjMQe3XXDPHYtA6jRpu0fXXu/fff0/mibIa79qDRw5cjeTywYMH3We7drlr5nhwMYeeI4jjSv2CBdi7jtsEwkYm06o/y4Grkexjig2HSF01dWoihnydu8hSs+A4Ophjkd/UAejt0eXA1Uiur3rnHZ0/PUQHlw9IxGCwinUZ87WsbOas2e7NN5YmwrSnmxy4Gsnt5cuXu6t17jRHrlRz7DoSc4uuv0HjjO9F5zHGXrSD2xTKtIMSZ6CIHIq+SfaruRqsruFSNhuZO3eOrcL+cOOGGkHbukcOXI3g8JatW0xRnxkZT+uKYsyYca5//wGa37WsrmBt8l0OXI1g65rV70bGUw4sqMNJCWOOFyduLA3jjHUEb2uvcuBqAEeDmWGF9K3xmnnauXOXur+OmshFi7y968yZM3WHb2Nvc+BqAEPDHhIsI7tGM0/TufhW4GHrN8YZS3TK2caNH6b7pM365cDVQNYeOHjA7ZLxlJmnNV2V7XIT/EO/cfSY0dK7mFf/dnjVLq45cDWQzR+s/0BbI1W5K6+6qsaXNJtMc051bAjHOOMbb7SvefU5cKUi4SLP72hy4NChQ6udgJv8JGX/+eQLzau/3uZ3sZ6xvbgcuBrI6VWa1ozxNL1LDv2kvp83f563d21oP3pXDlypKKjjmd1rNmmx69xo5mkdQWu8GqP5Xf00zrhs2Zs13rVVjxy4GsDZTz/91J04cdzNnDmzlq+kwtcivILe9ebS9jPOmANXLTBJ5802ST169YpOe00XQn6hi5jm9fUaZ1y/fr3tI5HmdZvzyoGrASxdoWX7V0yZUusGI9jBOrBNeC1u4XXX2SmyNK3twbXzXW6qdOB5uSvT7stx42cNxgs0FRUVjmGfO++6yyRPsNb7sIirKoVRXFoRdFYrfqrYyjnFYetC73rllVfcxEmT04bhE+IuLCzQ5EOmT9chClPib2mP7X7D3Z///Ofur/7qr8TRmmAIzEIiAa49e/e54j69bbtw1ih6h5LlAbBn9x7XpUtnV9y3r+1L7xWwJDg4wnjv3r0WfODAQVGYkEryWiE72kMPftX9j//5v5KerfCunUsu5zgMne2/v/F/vmGnX6Q94SJS0jngAAkH0KoJFL0PTSLfJ4FXHRF8y5705ZJwPoIo4hAsiucf/+kf3ZZPPwm+rfba7sFFEzR40CD3J1/7Woth4tKlSxzSq7W72rXP1l6yeuY/NHlhGX49P8tOsAhPDCGx4KO1u3YPrth6iubnZRsAVJyI7R5ccWLk7jNLgXYPrrbQ/GQWEpmLrd2DK3OkzMWUSoEcuFIpknvOGAVy4MoYKXMRpVIgB67Wb05K5WmLec6BS6zA1sWUmJbiOnTgeOOWkpvG56PlULTxZbi0LwUsjJa79+xxRTq3py6eYoZiwuAF5snX2c0MBqt0sfGuygalizp2TB1+dB0Ub2npaddH+9m3dtfuwcWi1Z27PnNXX3nFRQCTfA0Ymf1QJxLrQEZnDW57SZlnMyDiQZGih48cdV/9ygNx71Z53+7Bdccdd2rBxXAxL5rlgLAJgqcGS/Pc//3G37suWgz76J/9mYBRI8BFPYj6b/76v7n+2h3nj//4Tzy44ukpzkqhdszo0RZ/nQLyoqk1b4B2MeWGwWkkQibcl+79ouPw9H/79x80Orobb7zeTdA+qv/87e80Oo7W8GGbV+gzCSxjqIBKnJfk9HlVYj7YJcXUoj9uF83itm3b3B4p7EDiUuQX0m/fvn2uc5cubtnbbzcKIKZTHT7kOkmZZ+ebygYC1Zchz40cOdJxakdLdu2iWXz44YfdE0884QYNZBdAJE/jWAIwmOxHHJz30xgJlohDmaiQ9EoXBxUgZLHafdS079233/3t3/6t+5u/+ZvGFaSJvmoXkuv4sWPuhhsWuZ/85GcxZsbZBrXjMi3OWt6FZ53brKnKPKVv1kIcIXzqM3GlxhHyEQ8b/Aid4q/HBfPmulOnSnjZol27AFdxcbHmtRfbgU8tmhv1zNyoUaNc714t3w7WLsB18uQJzVvXvPc24o4cPuxOnT7V4kvT5nuLngOhaWnx/Kh3ButcClfvWLIbsJ2AK7tEzMWengI5cKWnS843AxTIgSsDRLQotn7Lzc2b6761NVMRtv54cuCqjYcvPWJDRtilkr9H3Eu1ha/L34BHPCnguwRABmNHXck297scuOriwJxvui0ydmLo9L/vu8V1ha/z3Rzto7rSPfYPjYJnnTG31Jc5cGWLM5G0mhtrJ+/98Yvu4cf/LkNNZ8uXXTlwZQNcAGvMY27yi1VuxaOjYyksdn/+Tecee+Bb7tJVs5ZvXsmBK8b6GrcrH3NjEjpXir5UI3DweMk9EgHr+2na0NGP/rV7WPG2h9YxB66AidTr4u/HdK0qtwWJM+ZiCr10qjG3uselq/15GmD5JBa777/4sHv87y5VeuWaxVSWtdrn0bfd6+a4je7Ti7RnD7+4xX3TSeLNrQM8i//cwjzwD5saTY+chb7RpGvuD7e6b82tLqVe+ofH3Mo597rb4ipUjWzOcRPHjHaPrpDiTpP6SG09Q4X564fdyscfdytrxNF2PHLNYlpejnZjJz/ubk3oW3nu1o0yS6x41NWJrURcavqq6Bne6vJqk2BqdtU6Ntq1/EZRk4Vkv2kN+Ww0E/jw/i9/2Xbze+qppy8pnpby8bSpV7mbF9/qvv71r7eULKXNR05ypSVLzjMTFMiBKxNUzMWRlgLtAly0/IVaTd1WHPP4W4M20y5mouZ1yNPuyFvcC88/r0URmpFaLzUTC3iKOprGKwnYOl8mZ8LXHSwZXZo7BtCZU79//wFb9p8mSIvyahfgGqQ931944UX3lbBEvl7galF8sswYtgSusguVrrhf35aXwZQctfneIrLnrM6WLjunvR1wVP424Dp17uQ6d+rcokvS5sHVoqnfxjPXLhT6Ns7DFlu8HLhaLGtaf8Zy4Gr9PGyxJfj/APsevK96Z0QAAAAASUVORK5CYII=)
22,10 MPa
9,588 MPa
2,559 MPa
0,128 MPa
53,45 MPa
Duas partes de um metal foi soldado com uma angulação de 55º, determine a tensão normal suportada no plano da solda.
![](data:image/png;base64,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)
34,15 mm
24,56 cm
10,14 mm
45,21 mm
7,24 mm
Um corpo é sustentado pelo suporte da figura abaixo, se o diâmetro do pino for D = 12 mm qual é a tensão de cisalhamanto do pino.
![](data:image/png;base64,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)
22,10 MPa
9,588 MPa
2,559 MPa
0,128 MPa
53,45 MPa
Duas partes de um metal foi soldado com uma angulação de 55º, determine a tensão normal suportada no plano da solda.
![](data:image/png;base64,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)
22,10 MPa
9,588 MPa
2,559 MPa
0,128 MPa
53,45 MPa