From 5f161247429b4ea3fff63d47c408033aab6e05c3 Mon Sep 17 00:00:00 2001 From: rch <rostislav.chudoba@rwth-aachen.de> Date: Wed, 2 Jun 2021 11:02:57 +0200 Subject: [PATCH] final changes in 5.1 --- ...t_Damage_Evolution_Damage_initiation.ipynb | 142 +++++++++--------- 1 file changed, 74 insertions(+), 68 deletions(-) diff --git a/tour5_damage_bond/5_1_Introspect_Damage_Evolution_Damage_initiation.ipynb b/tour5_damage_bond/5_1_Introspect_Damage_Evolution_Damage_initiation.ipynb index 40af259..ed5e01b 100644 --- a/tour5_damage_bond/5_1_Introspect_Damage_Evolution_Damage_initiation.ipynb +++ b/tour5_damage_bond/5_1_Introspect_Damage_Evolution_Damage_initiation.ipynb @@ -115,15 +115,40 @@ "" ] }, + { + "attachments": { + "image.png": { + "image/png": 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G7WpHiWfg7WSW7GB16/I5ggMdm9VnkOMzZ7I4OzdXjQfL3r22ajRff32GGjcOpEGDIll7OIKnFFkhQEwQEARKhcBFrtoGzVBIO2llSUt1INlJEHAxAkJOXQywtx9+yq457FCzud4eaD7c24dbYeNLSMhShHT16iSeir/ECfSFezztOwny6e9vI56Bgb6K3AUHV+L4rgDq2jWUExCCFDk1nNo7G0m+/aJo/JapNO5O1ji9bQT59HmY//D/HcyHb4EPOea0ymtxnJlrm5KPOZLGmqi2Dd95h19aGhb+4pKTk0dHj2ay8lQaa/pnquX48Qz+nM7VZtLprbeO0ZdfJnCOVYSa/r/hhhCWlpFpf8frIJ8FgcIQwOwKst2REY+kIiQhiQkCZkVAyKlZr4yH9Kt59TiKD6tH5zMu0vA4FlsXKzMC8ISCfJ45Aw9iGheDuMQyKunKswgPKQzErF69KhQV5a9iNDHtDRJag6fa4QWNiqqs/o/YTc3biH2w+Pn5cJasb/ExnREs/9K6NfnwNKDPIhba/2gqnbqcSvNa19ONsVdGBA1856WC7Tu4chSMkxl8A1hGSu+czd8efW/UKFAt8KQiLAAe4J07U2n27LMsvJ3McjZZNGPGKSapvpzRG0jDhkVypnAYJ0nIY0x3QaRBEHBAADqikIVCYhOm9MUEATMjYNmnuuYpkpjTst2e93GJ0jHxA+nIpVPk7yuVtBzRzMq6rKbYk5Nz1TQ8PIKIC3U0kDHEf2Zm2v6mpOSofTIyrk7Ng2hierx9+2rK6wmPZ2iozUvpEi8iNE0HcQna6dOJWBMR9nH/GMrx1XssHxjMlaDsjacP6ZNPbC3t29vKnhbcotBP8PYiGapy5Uqsv1iN+XEwS9ik0OLF55msprHmYZYirSDuCxeep9tvr6G2iYioDB4sJggIAg4IILMeFZnwe9eDK7ahapOYIGBmBCxLTs18UTytbz7kQ/VDanlat8vUXyQcgUjaG9pAPNF+7FgGbd2aoqbiQUjhBUU8qLMG76bmAY2LC2Q9+1CukhLE3tIA93oKWVtQMT7OsgIp/ahLpG4ItavWoAF1uxRs37yZaO1aWxWpCROIfw11+znbAC9vhw7VFFEF0Qeun3+eoOJSNYzr1w+g3r3DuVhVTZnudxZY2c4yCKzl7+KJEyfoWq7e1sRBr9gyIMhAPQoBIacedbmksxWNAJKREBe5aNF5OniQS3va2cWLOWoqGp49eEIdDYQzLi4gPwbUfj08n8hU9/f3Yd3AKiomNCbGnxo2DFQxohVia9ZwnOltipjCvr82lI5VZ7LqYOOaDSE/X7s+skg3TZ1KzMaJy88QuzapPFLt4VGFd7RHj+pqOn/ZskSaORMkNY3rcKfToUMnqX//cK4oo++jY5/lsyBgFQT27dun6tGjSlOvXr10laCsgoOM07MQcBs5Rfmz48ePq2kFe4O4LsR2o6KiPAs56a0lEEhOzlEJOX/+maq8dFigEVqY/JIGCogUyGWTJkHs8axKLVtWZaIZoHQ8jQzbm8pWrSJOj7cRzCsdm9xV/x0FKR3XdMjVrkNs/8UXiYtk27ymDz9MHOBa7kMD0e/XL5y9pdW50s1FevbZQyoe98SJTCGn5Y62HNBTEcDv7sKFC1XC4+DBgzk2vaqnDkX6bTEEXE5OT506xT8cz3K82GJVTcLIQEzfe+896tu3r9Hq/LZErvG9lcsp5rKgI7INIdJbWjPMTi7twSy238WsFHrol3/R2KaD6aZa1/OkvtmYVekvCEgndEDXrr2oBOq3bUtVOqHwiGqEFF5OxH62bh2iPJ2awatXtaqv0ufENDPiQZEhbyTTVPoeumHP5cuJi1cXIKb7a1Sh5c2r6U4+OPgaitm6l9t54XrY9N//En/ZbSVPe/cmwpS+Cw0ktVmzIKUQgGICLom9dWH/5dCCgCsQgBMIZUfnzZun6tcP4tjx8qjk5Iq+yjEFASMEXEpOjxw5QnfeeaeSr0DN3OZczhD6avaWxlN/qJ07ZswYmj9/PkvE3KCTtUlISFDrpk2bRrt27VLe1x2coOFY7sxogMW1OXpyi9te1hPN3LeIZu1frJb3Oz1FD7fgqV8PNsSKnjqVpabrly9PVELz8MBhCh+GmEckH8XGgpAGqwWfQUK9zpYsIRo6lJiNFxja1C5RlGfwDvLAW7z9AfaSwvDyial8JFINZ1mx118ndhW7HCK8FDzySKyK7YU0lpggYEYE8FzByxTixl1tmMZHXfqgoCBWtRjGWsGqVlupLSkph6A5PGpUTdEaLjWKZdgRnpFN/yPi316q1ZaocX+iqBasE+i9nnCXkFPtre2+++6j9evX0+jRo+kf//gH1aqlT5rJ5vi0zz77jB7m6b+7776bnnnmGdYyvEVpsIG4fvPNN2o9agGjpm+bNm2oVatWSg5DrGIQ0CpCITt/eAPPlI/Cdx0e0R070mjBgnPq76lTmfneUXg8kYjUvXsYXXNNVfWDglhG002/l+ct8APLRfEPGWd0FThqRmVfmtExQnemeBbOv3k3Z+VrkTqYyYiOJho7lrjGKbHrWLePKxrwg9+nD8teiQkCJkIAyZFa1Ta86E6efFL17rnn6qkwbvxO4q9W1U37jGcTXpgRt471tr+2ZEvbfrbCFfjiYVtt0YaOZ9SmTcf4a+zDzp6B/DdGqVz4ckKjTU4OOY62/yPXEdvjM/7aFh+VA4k2bT3Cm1DlDS+CKIZxdb1tGxPB7qVd4Rvh+Hp2BCzlv+uI1rzKL/4NiZoMJGp1DxNVrszo6xI6V2F4+vAXQvtpKbdOIAAbHtPNnLGLv1M5OSKgiLgzTDuMGzdOkVBYvXr1WMewgYpR3b9/v3r7GzlyJE2cOLHc9Nlu5WlLeGOHs4fn22+/Lbexe/uBfj61hbotHK+GeVtcL/q65z89Zsi406EfumtXmpJ1WrcuWcWTat8APIzj4wNVVvj114fwS1Cwmpa3hPF3QSU/8XfR0T6/MYLuGVPfsZneihxIj4XZZelX5nja+Hgua1pDt600CAKehACeCdnZefx1uKxmUBDPDJ1heBAvXszl/6MsMP7altTUPJ5ssFVng/wbFpt6x1USiipoIKvQIIZdJZZXSSbaQRA1EqnpEl8lilcJo23bq6RSwxfH9fXNYS9tJsfHBxYgwOiTRpi1/mnn1P5qBPUqWVVrVBU3tGHGCGFxNlJrI7F4QUSIE2aZoLmM52ZgoO0vPkNrGSFPSO6EJF61algHbWZIxvmqvziGR1tmMl9UJpGVcH3xu2FHrRSYeBPgF3iVPFqKsbKWOCUeIGJ1FDq0iuX9viY6uobfZPiZXa8r0Q2PcKETDqWq5B0zeuVOtRFjOmrUKOXpBJl8//33+YtS9A88YlG3b9/OjpZQpcG2e/du+uOPP1Tw9qRJk5RXtWFDfksoR5OY09KBqXlNsbenVISCtwFC9lOnnlSJTXgo21t8fBCX8gvlJUzJNVnOZs8m/tIaElP+laTJ993Iz9nTBWAJ9KtCo/s/RlRFH4dqOfxkwKZHAIQN33sQTSyZmXn8opqjpMlQ9CIpKZtjzVH8wlYAAxrD2AYLCCq8lyh2gYIPWmELECwQL5A1jZAFBVVSBA1x5hrhgmYviNf8+edpzZok+s9/GiqSBuKpkU57j6a7wQQ2mvdW+2sjsQWJ7E8/XaSPPjpJzz9fj7GolO/dBTZYQOARmw+inpGBUsq2z4jhP3o0QyWSgswDWyib4DoAIxtWILO+KnYcSaOhoZWUlzY8vLLCHO2aprOGp6niy0+xdN63rEqSy6FNfvwbAs5j7/cDMYUOOIgryKMfS+txRT21+HGYR2X+XIn/+vG6Shz6qLbhv2q7K9uq//M0PshoLE/tN+xJlHyc6M8viLZ/RfQVl+OrfxNRTw6niuH1IMQebOVOTr/77jsWzP5dxZC++eabxRJTYLdnzx5FZm9jz82UKVP4ps/lGzdb7QvC6ocYNheZCxzHLuqpOQ77SMuR6q15d9Jh6larjTk6VUQv8BD85puzrIt5Or/WPH4YatXy50SaqjwdXF39RZuHf5eLQKGIVRw2w9MbtgQmx82YmG6b9gb9mjnLcQ2NbNiHqgsx1eEiDe5HwObltBEkTD/Dw5eQkE1nz4Jw4m+WIp4gRtAaBmkCmQLZAekBCapeHaTIj2PJq6q/WAdvn83jV0mRsWJ8LMUO/Prrg+m7784oTyGObxbDc08jx0V59Fq1qqrIJ56V5RE3i2ugeZ7hhca1w3XCMxszXMgBwMsCvNV4icA2eAnASwKuB/qhXTcQWK00M9ZhO21bjA1k+9ChDFVVD/iXxCIi/Azl/wocI5xjets9yLH65zksihNDL7OLHIRUs7wcfsZyuFQuL9kcl48lkz2hKfzSn8OENodj/LGAeObytvC6wgurCO6Vv+qz3QLvK8htIMf1g+BiOfYrFz+5iajXv4naPlCwDyUZtAm2LfdvCKbiYcgOLGoqXxt7Hru15rLsDAhpv379VFypmHkR6FjzWsKSk5dr6ix9/AD99lsyffrpaRVPiocTMuhRTQgPWbyR48Fmqrdvd1/2L/iN+x6OV8I8n6MhfvTzz+nD2oeIdjmu9Byvub7n0uJJCIBMHjmSqbyR8LThMwgLqqlBTxhEFCQUn9EODyU8mTVq+Kvpc2gHN2hQLd8DB2+nRjzdjQOSKOEphRcRpYU9zTSvMRIPy4Oc4lrhmM6WH8YzXPO6gshqxFULtThyBDOwqUxmc/O9ulrogi3+97KqPIdnv7MG4n7//TEsw1VMjgte1Ds87uxhi95OubJBUlkvWhFXLExqNRLLajmK2GKaPyOR6OIxot2clIptkJy8/Uui9W/b/h+kl/8r+uTmWVvu5LRRo0ZqdIg3HTiQg3WLsWPHjim5CyQ49e/PGWhiHoFAAdF1E/UYDyFUDpoy5aSaysebPqaNMG3/6KO1lQSUGCOA+G5OWDQkpogdnTWLkgf34z96ebfrI5tROwTgiwkCLkYA8eHvvXdCTQmDzMArhpdKkM6aNSurUr5RUf7q/yCkZo4RR79BmBHn3rat5zlhgD28lvBGV4TBkaB5Sktyfnho8SLz2GMHOGwwjNXt9InZJTmey7dVrmxM7fPiH3z1dHmMeyI7Cy6d5L8HiXj2ki5wDGrifm47YfPW7uDp/Rqcxd/1BfaoFkOoXT6Qsp2g3Mlpt27dVFY+kpuQxAQJqaIMyUiIMUVsaXU3yM4U1RdZ57kI4GUT00Hz5p3je++0esPGdxxkdNy4Wkqs3dJeUvtLO3060fjxxsQU5Uq/5DdvlpOaufNbSsH0k4N5SqyxY7/ls+chgMTETz8t+jfEU0aFBCDEq8Lb64kGryMWzEp5kuGlplatKqryHsIGPMou7CPaNpMToFYQnfrdNvWPASCxKiSGKKw+x5+2J7qWZ8CimnGsKYfahdbzqCEW1tlyJ6eo24t401deeYU6d+6s/qIyRQ3O4HUUzT98+LDK5IcI/1/+8pfC+uiSdkmIcgmsFXJQTOvNnHmaS4peUFM9MHhR7rsvWlURwhu/2BUEUFaUExULBOtr4ICYQrmCQ3Jg9slv2iZh/iF0R6M+AqcgIAiUEAG8LCMOEl5gTzRbXKqPSnzyNAP2CKuA1iw8qR6hDJDEXtJPurF2NMexIhv/xklEHFKnZKPCeYYaSVMgqV6aLFHu5BQ37VNPPcVxHeH06quv8lTqo6pC1D0c2/b222+rZBrNkPyEKhbYHvJRFWGSEFU86kdSTlGfRQ+rMpVj4gdRuEkSYRBntnTpBfriizPKGwHvKR7+XbuG0oMPxl6RPCl+fJbZ4n//I5a+MCamKI4xZw4xm1dwrDn9O23HlJGD3dOkPwUh8F5MEBAESowAsv/9/UuWkFPik7hoB03b1FHtxEWnK/fDIhZ548ZkFY/qEeQ0JJao/2SiiCa2xT7BqtzRMd8BXUJOIQH10EMPcZxfF5V9j/hTRykokNIvefqwAeuZ3n///eZDRnqUj8BcbaWmAAAgAElEQVSUnXNoT9IR+r/17yhiCoJakYbqTcuWJbKn9DwnF2Sqhw2my26+OYzjliOUHJSn/gC4DFeWdOPpCWNiGsgSJZyUyNIF+aefvJPlpRwMZWonNmeRfjFBwEMRwLMCWd/OJOEgkxzPl8aNA9V0dlkNHkecG+oAnmjwnAKHjAz2AnigIU4ZM2vwnDoUqjTnaOAZreDf2ooExiXkFAOC/BOqOYGcJiUlKUkoe6/pf7kG94kTJ7haxnNciSeuIjGQcxeBQBYHYU/bwwLtbJAOgoRQRRm8DgsXnldl9A4fzlCeUsiJXHttMFcXq0nXXRfsGW/E7gbwrbeI/u//jIkpF7hgAUbWxuuZ36uznAH63cGVul7eVOt6ahbWQNcuDYKApyCA8sTvvnucKxY24IIuhSclgUROmrSfi8Ckc2JvBD3+eJ0yS0mlpOSpuHjI2HmqISEKigmeaHghQZY/dK/FzI+AW+YXwsLCChBTkNIZM2YQMvsRn1oRphFlmdYvGv3ZB3+kM+kX1EajmwwgiK+720BC4cV47bWj9MYbx5ReHTyjN90URm+91ZDeeaeR+qHxiKkad4P3b9a7e+IJY2LKMxyEkqV2xBTdm7Z7PuGlxNHEa+qIiHz2NAQgNwTR/TfeOKrkpwqzH344TydPZirB+cWLLyj5p7IayiVD9qhOHXOExdhrxDs7NsxQIdm0IgzKDbgukBQrjUHJAWNGJS8x8yPgFnJqD0NOTg79m38w4U3FdH5FxZqa/9KYo4fTr3hNbVO6w93eKUzBYPr+9tt3qgcTpuXatw+hDz5orCqttGkTUmaPhtsH5a4TvvYa0V//anw26AkvXkzM8Ausz2OR56m7OPbUwWKCIunW+gW3ddxGPgsCZkfg1KksVZoYmfMff3xKPU8cDaVHEcsOj2mHDtWUfNFvv7GwOhtekiFR98cfKUpftSRECSECqIjkTo1TeDmNSChe8O+9dzfnfJSMdEMnFt5HdxvG8OqrR9jjfYTWr+cyoaUwSApCgB8VrMTMj4DLpvULGzpko+A1bdGiBd11112FbSbtJkHgay6FNmPPAhVz2iS0rtt6hYfR1q0prAOfwA+ji6qEIKaU7r47mu64o4aazhcrAoG//53opZeMN+AQG+Ux7dRJt37JsXV0CDp6DnYfxz75o/yemCDgoQjgmQIyBsIJndGnnz5It9wSTq1b22lJ8tjgJcV2Tz1VVyVYtmhRlbZsuURDhkSyJ/UQHT+eqZ5FIDkgm7GxVVSBD/zFlD10V1FHHvGZiNOE8D7ygDdvvsQhbIFuqw61enUSJyEfV2OdNKm2qqCkGYT0d+1KVS/8jzzCiTdOGoj6zp16eTn73TXCX1rpPni38TIwaFBEfu4ArgnaUa3pp5+SWAkIYYJOdvrKZphZQ20RhIeJmR8Bt5LTzMxMFlR+j4PCL/FM4xNKXkrM3AggAeqJa933EoEfEEynTZt2Wj2EEKOFh1ybNsGcZBerfihk+r6Ye+b55+FmMN4IxHTpUmL3s+F6I/moSpwlOr7ZUMPtpVEQ8BQEtNKmTZoEsvc0WCVQgrx9/HF8gYQnEKOYGH+lkQwCdM01VTl5F4og2ZztfYnDiBrSDTdUUx7EEyeyFFkF2YM3dcmSLFVqE95XTXoJhAhlQbH9rbdGFppchVhIELvySL7CcxR6z+j7vn1pPMt0jP72t3r5z05NDurXXy8qyT2QcGcMSUXwGBdlb711XBHJfv0iVLlQrZQoxoVnNxaNuBsdB+WmkVcAGz7cVuEI3lJUdsILAsIsMDWvSQRCqQVT/jfeWE0VXCnMPF1toLBxeWu7W8npzp07Wa1mDrVs2ZJGjBhRIA7V3QBLzKm7ES/+fJgy+/778yy1eVY93PAwgTdi5MgaysOBt3axYhB4+mmif/3LeCMUuVi+nPiX2XD9Ua7zvOjYWt26/nU7U93gaF27NAgCZkEApA4hQKjEiypxIGf4DBKmVec9dy5Lec1AsODNRFnKMWN2c737s2o2BobjbNhwiUscB+cTtvj4IDp9OkuRT8QtRkfb4u4Rf4mlWTNOKnQwnBsEFefH/0E8QXQLK52JmSHEwcIrGRpaSek0I4EHzzyt3CpIHsgXyB2ejZrnEL9laIMXNyQEdeBtJVLh/X3ssTqq9OvDD+9TXlKtDCcSvkCeT560ETtnK1bVrRvAzqUcVSWqMNUBEEk8t+FcOHUqU4VCYMGUOvqG/gBHhFZgfBgnxohx2xcpAEkdOjRKjXXt2ov8QhCiCOj06afVSwFUFIDxc88doj170pSH+MUX67vNM+14zeVz+SLgtl/7PP52Tps2jT1hF5UwP+SmxAQB/IjgBwNT+PBOrFuXrH5c8BAeNiySX2JqqMoeYk4ggIz8N9803jAiwkZMr7vOeD23TuFYU8ScOtrE5u6PNXbsg3wWBOwRQBb9zz8nKY8lEpxAmECAUL0IzxMQQhBQPEdsnkvbcwYkcP7884p81qzpz/UoYum//z2hponxnIFA/vbtKeyhq59/OnhRw8P9aMWKREWqnJGhAlm0hR4555HUnoHdu4extzNYeV8he4Sx4UUdZFIbGwg0CLeWzItnKGJftX0wZpBAxJt+/vlpFQo1blwM/e9/J5XHF+NBOc+GDQMVUUdMvxa7r5F6EF+QV8epcxB1kOQNG5KVZ9TIcC169YpWMbuaac95eI+hWoC+YUxIEMOCsR44YBsnSk7j+uzdm6ZIJ/CGZ/S222oQwifgjQXxBTlds+aiCsGYMiVekXuEXbz8cgPDa4QXBGCG+0LM/Ai4jZwi1nTBggV8c9V3OtY0PT2db+QUVUFKzL0InMtIosiAMJedFD8keMP+889U9aDB1BgMD0PEgD32WG1q3ryq7uHosg558oHx5OfyvxwzYzwKfH/gMW3Vyng9tyrJsN3zdOvjqsVSn9o36tqlQRCoSAReeOGQmtZFBTjEeMIDZ/NkVlIEEmoejsQK/UWYkH0SE/ZfsOCcSo564YV67B1NVfs2bXrVGwoPIWJFMQWOMpiujHeHx7FLFw69KYU98sg+2rYthcMRAhSpA5lr0CBAEdDmzSM55OACk7iTyru4b1+6GmOnTqEq0Wj8+CzlCcX6lSsTFTEFiQWBbdmyKivrBKqxI5YWMbuQ9OvTJ1xt52jwkGZnF3zJxbWAxzQgwJ+9wo576D/jkTZy5E4mn0ncjyrKEw5FFhDvLl3CVMLaXXfVpG++OaP6gbG8+WYjDrM/zGPZS08+WUclvsHram84jtF9oe+BtFQ0Am4jp5s2bWICcpwfAC/wl9sWgJ7Lr3/nz5/nt6ZEjmM5y29zCTx9cprfXlOZtPxJq1atUvhs27aNvzjGb2kVDaA3nn/9mT/ppoUTaGiD7vRs6/uoZXjDchsmskQxbY9gfbzpw8MBw0MEEiv33FOTevcOVz8wYk4ggKctqj6h+pOR1axJ/GtDHKxrtDa/be6hVZRwRTLMfsMJzYaRr8UqkxQJlKw0BQJ4cUUMKKZ9S2KYPrY3eDj/8pfavOynX365yC/KF6lJkyBVXU4zkBl4NEFOkVTkSHhKcv6itsV5yqLBCbKGGShMdXftGqbGBQ+qZviM6f3OnRMVeR0/PkZNkyO29pNPTqt4WEylv/FGnAorgMNg585UFeMJT/XZs1n5oQ6Qk0L4Q8eO1XRDAqnFtHtZDFj07Fmdi61cUF5QyAZqhVV6967OVQETVLwwfk+ee66eIpx4QYGCy+zZZ9l7ekSFOiBXAS8WUVEI5QAx9fHY8rFlwdMT93UbOT158qRyqX/yySf8NrSG3fppyiuKvxkZGRzgnK7+j6QpWBCLg0NmavDgwS4JAbAvCOCJF86VfUZSTGZuFn25fylrmw4sMznFNP3+/Rk0a1aCKh8HfUFwKhBQTBPh7RwlR/GDY4sHc+XovOjYAHHiRKKpU40HFRNjI6bNmhmvt2s1SoRCdj6y9MUEAbMhgGn4118/qmJB7YlkafoJz+CYMdEcbnZEETtMCzt613r0qM4JRglOJw6VtB8gTvBCai/rJd0f27dvX015DBG3OmFCrQLEFOuRTHrnnTWUdxHj69w5TKkOIJP/scf2q/3q16+iwgrQDq+r5sXFowbhBAh7wKwXDJ5UI8N5tm9PVdsbeVaN9jFqGzAgQiV1IXQDigLaNcHU/ogRUfTppwk8zhju81XdWCRaIUcB6/fuTVczc7bs/2R1ryCRatWqJOVVFTM3Am4jpwMHDqQff/yRpxP2Eab4K3EgEBbEnoKERkdHq0pRWEBMY2Nj+aarz960Oi5FUET4C8J7PuMifXtwhWpsVK0O9aptnNXt7EXBw2z+/HNKEgpZnnjA4C22Q4dQlS2L6k72EifOHtfy2yHobPx44uwAYyj4+6M8pvHxxuvtWncmHqSfTm3RbTcirqdLQzt0J5QGQcBJBOARA5HbsSO1zOQUzyR4HVu1qsrOkcsqscbR8Iz65JN4td4VBhIHz2BZqy8NGhTJEkzGPQQBvu8+kLlAnr30VXG0MMR3Tp0ar0gbSD+IqaMBI3gibYlLRdMGOBow7Q9SCK9laQ0vHU8/XVd5YZs1K5ij8sADsUy0a6pQDiMDnkhUs09WA1kGscY4xMyPgPGVdUG/oWu6ZMkSNX0PAf4qXNw2ICBAxZOCpIqZA4FP9i6k9Byb9xoVgSC+X1pDkDtKBWJaCA8GxGpBGgSB8oiL0t6ES3t8y+4HYnrffdCKMYYAL3T8IsiBYsbrHVon75ptuN0DkghliIs0VjwCSMqBxxNTy/BqltXwLMKLclFWGBEqah9n18HjB1KI5CBXGogZpsUdDTGlWMrD4DmtXdtfPfcffPCqx7Okx8Y16d/fOJwPRNuZxDT7c4KwOoZ1aOsxu5eQkK0cJ0JeS3qlXLO9/hXJNedRR/XlO6omx8DFszenPntF4S0VYupCwEtx6NUnN6u9UKb0Xi5XWhrDFBCSnSZM2KOkofDFx5TTl18255inWPaUCzEtDa5qHxDTe+4pnJjyLAQHzjlNTFOy0+jzvYt03bkmvBF1ii48gUq3gzQIAm5EAEQDiZO7d6fyVK1eYcKNXSmXU2E8IEYgSHh+erIh8QnxqyCncFB4gkEl5o47dtLcuec8obuW6KNbyaklEPXwQS645S36ccBkeqP9X0o1pYs3/9deO6JimCDxgYxaTL+88UZDlf0pVgYEuPQvjRpFnA1gfJAGDWzEFH+dtK8OLKOkLFtpRvtdxGvqJICyWYUhgClbJO0gdMgbDNJWSDrCLJOnGxKY4A1evvyCRwxl927kwNi0Xz2iwxbopNum9c2GpSREGV8RTON3r9VWLSUx6AeuXp2ogtRRkQRZp0h2gqcU1Vi0TMuSHFO2tUMgi7NfQUxnG0/Bqyl8TOWXMEbbKBEquHIQ3d24n8AvCJgaAXgaEQOKzHEkUnq6QUZq6dJEFUvr6VPLKDaAwinI/kcoV1kSo9xxXVGKFuZKmTB3jMObzmF5z6kkRJX9doY49EcfnVTyHZAogRYdsiUh6wGpEiGmZcQYxPS22wonpkh6Wr26xMR0w5nttOXcbl3n7mrcl0BQxQQBMyMAIlGtWiVV7tgbDDNLqLxkr8PqyePq2zeCp/WzacuWFNMPQ9NlRdlUSB16emiF6QF3ooOW9Zw6gY1s4gQCeMtHhRWUAERsKepWjx9fi7p1C5OEJyfwK3YTSKsNG0Zce9B4U8hEISsfslEltMk7jb2wMqVfQiBl8wpBAKU6oW2JrHBkmXu6IeEKiT6I0/QGBRPopzZoEMhV/y4qAX0zGmQNoZn6ww+28AMUMThxIlNprEq57Iq9YkJOKxZ/U5w9Jy+Xfjm9lbrValOi7Hy84aOyCt42YdDEe/75eoXWXDbFYD2pE6z9yyrjxDIXxr2GsD6IKYT2S2gXMpPp64PLdHshCera8Ma6dmkQBMyGAHSSobWJspfeYMjWx6wT4vZB7LzB4uIC6OhR83m2UUYVIQfwkqJqmKYcg78o5QqPvFjFImDZaX2JOb16480/8hN1/34CNftmOK06ucmpOxIe0y+/PEMzZpxW20POBWXxUAJPrBwQ4IIUXIGicGKKUqSooFYKYorefbLnqmSYfW8nckUoMUHAUxBAAY8DB/glzgsMcZkgRzk5nq8+oF2OwMBKplJTwHQ9MvNHj97D2q6nVKGBf/0rLl8vtVevcPrHP+qbPkbWC273Yodgec+pxJwSTeaKULA9SUeoRmB4sTcNvuCQCZk27ZSayketZVQmKanuXLEnsuoGIKYDWMbrSvleHQzXXUecBkv8JqBb5UzDZbpMUwy0TSMDwgjC+2KCgKcgAG3OL79M8IokIsxEQSkOUkzeYvh9AOEuLIazYLtNpcBx26I+Yx3OgQX/17bFOX19fZhk2kqW4jNUEDDTh4IwcKL8858NVFlUvBRg28cf36+O4+nJaN5y71ienHrLhSztOPZePEorT/ymdu8SfR21qB5X7KHWrr3IpdxPqGom8Fz87W/1vCJbttiBu2MDLulL/ThTnkv8Gtr119uIaXW9kLbh9gaNuN647o6GUqVVKonclyMu8tm8CEBOys/Pl78uF6l79zDzdtSJnvn7+yhitHHjJVXKGQayBVIF9RONhGn/B5HFuoLrHbfXPtuIr7a97a/9ustM8G2fMSuG9firLSDO9p/t19uf335f9HP//nSlpvDoo/vsxqCNBeOzH5s2nqvjsu+ndmz7MWskFLG6+L82I6qRVmwLQwhIcLAfnTqVqeJfUaLWfpYP2tuI8zVjCIITt45XbiLk1Csvq/ODgtcUnjSYM4kwu3al0b//fUyVIkV26d//Xp9q1BBC4zziRWyZnGwjpmvXGm/UnkvJLl1KXObEeL2TrUbyUb4+vjS+Gce3igkCHoRA7dpV6KGHavFz6DDrKtdUmsrOeB5BWiB/l5mZpxb7/2ufs7NzmVBt5/WRHJcYqdsW+2Rl5ansevyFrJX2GUQKGeD2hE8jd5qXz5Fwan3Ci//kySfVVbAnX/DugYRpfzWPH7yDRuvs98W2tu0p31OI/ezbQIzx2f4v/o8FmqXaX+Crtdu21c6PbWzHRDv6hD4g9KtJkyBFCjVvpmN/7cek9VU7ltYnrV+2z7ZzOnOrAu9XXjlCCxacp8aNA/n3q6FOMio0tBLP/FVmcpqhXgLQH7GKRcDy5NTq0/pZeTnKWxbqH0zD4m4u8m5EFunzzx9S0i3IZETyU9OmIjlUJGjOrrx4kVgYEKW1jPfo1MmWsV9GYnoy7Swt4BhjR+td+0ZqWK22Y7N8FgRMhcCiRRf4/ewCJw75EHRBNU8ZpvcRQ/jHH6nKA5aRkadiHW2k0fZ/kEeNjMKzBk8lZO5AvLBo/9f+BgWlM4lZxftU5fP147jEEHVerA8Orpy/P45TuTKSma4ew57QaaRKI3QaEXMknvYk0ygnAtsbmVF7wTbbjsVvZ3T0srd17RqqrpPR+ct+9OKPsH17Ki1ceF5tCE/umDG76S9/qU2dOqFftv2h/ADd3GPHMjhbP4vlor0jIa14dMy7hWXJqdGX37yXyXU9+6DTU/Ti9eNoV+Ih8vctPJkpISFLEVPItkBf8Kmn6tINN1RzXcesdOTEROKC10SbCklG69LFRkxDyi7H8tGuuQR1BkdzxmvuuI98FgTcjUDDhgGcTR2sTgtiAe8jDNJ1kP9Btjs8e9qCzyCNBT/7Kg8h9refDsZn22Jbl8ffk9dem8/7p3DC53mWq2LZNrESI1DRXkh4bZGsi+QnJM8h7vSJJw6o4jD33x9D110Hjy4pGcTNmy8RZgeFnJb4Mpf7DpYlp+WOpAcfMCqgOkXFFB7DeOlSLgvqH6Pff09RHob77otW8V0V9SbswVDru36e3+hBTLds0a9Dy003EX3/PVFVWwya8UbOtYKUfrR7nm7jusHR1K8Oe2bFBAGTI4Cqc1jcYZXYlRkdHc0zRSf567mFp6XbMVEVj5o7sC/Pc+DFZMAAW/JoixZV1YsMlGYgI/XQQ/uYnAarKlZxcYGKpG7dmsKP5MJ/D8uzb3KswhHgSyEmCBSOAOKqPv30tEo4ABkdMyaabr+9hmQ0Fg6Z82vOniV29xROTLEO4vvlQEzRqYVHf6YTqTZNWvtOjms6hPx8RdfP+QsnW1oFgUGDBlHt2rVZGD+RZ42OWGXYXj3O0FA/mjChFs2c2Uz9nh0/nkVPP32Q3nvvuEpA27TpkgoLEatYBCxLTmVav/gbD4Hhc+bYhIoRrN+xYyjrw8WoqTOxMiJwhknizRzju3Wr8YH69CGO4CcKKj8vkVEiFEI5xjZlPVUxQUAQ0CFQk3WEu3XrxmEAlei332yqJrqNpMHjEICjBQm9qGb4xRfNVJIUSm1XrVqJDh9O5zCAwyo+WaziELA8y7BiQlRS1iV684+ZdD6Dk3CKMNRERtZoamouQWoDklEI/hcrIwKnuXABpuu3bzc+EKSk5s+H/onx+lK07mPpqBXHN+r2HFy/G8UERerapUEQEARsCNStW5drXdSkQ4cO0Rm8VIp5FQLIoYDe6T//Gcdap3VUHDPKmKJSl1jFIWB5clpx0FfcmT/fu4j+b/07VHtWX87c/tmwI0iAevnlI5SSkkv16wdwzGlD0TI1RKqEjRy/pojprl3GOw4cSDR3LrF72nh9KVsns+i+JhlmfwhJhColoLKbZRDw9/fn5JnrmbTksZhGIWoalkHDuwfav3+4csL83//Vkd+7Cr7UQk4r+AK4+/QgKCAqsDwOsGlfo6WuCyCkr756VElGocbwo4/GKoIqVkYEjh2zEdM9e4wPNGQI0XdcrYt/DMvT0nMy6dO9nFTlYM3CuEJKLRb1FxMEBIEiEWjRogU/C6vRvn37WPO06BmnIg8kK02NAFQcBg+OVMoP+L9YxSFg2Wx9q8ac/nRyC+1MPKjuuKENulNNh3KlEJT+7LPTXH/4okp6Gj06msuTlk30veJubxOdGckUiDE9aMNe17Phw4mDn4jlEHSrytrwzcHlhiEcE5oPJRbNKevhZX9BoEIQOHr0KL3zzjt06dIlTtaEgHwlzr5+iFq21L9wl7WDyNJv2rQpbdiwgYXaj9I111xT1kMWuz9CzmbPns26rkuVSkBmZibL993Aain3qbF6qmVlZXHp62mceLSJH3eVuVhBNt1xxx1MCDkBVEwQuIKAZcmpdgdYLeZU85pi/I5TushUhM7bN9+cVVmLkNMYMaKGko8SKwMCHKumiOnhw8YHGTmSOHUUpVWM15ex1SgRKsgvgO5tMqCMR5bdBYGKQWDz5s00atQo/trMVBJPMHg077nnHhbjn6piRMvbGjVqpMjpzp07CZ5UX+gOudBGjx7N+qwB9MEHH+RLWH3BL7BvvPEGZ5c/7cIzu+7QaWlp/Ci8mRVfbme90Y/VSwXI6pNPPqlOKgTVddh72pFd++3yNDQs0N8u0a2pSWhdalE9jrrGtCkw4kOHMvjBd0zFmdaq5a+qaKAmsVgZEDhwwDaVXxgxvesulxLT38/toQ1n9IlXdzTqQ2H+ZRf1LwMysqsgUCoE4FCYOHEiywFNyCemONCsWbNY4GIBJ7NsK9Vxi9spLi6O67FH8DvmYU6WSSpu8zKtn88JkfCY2hPTlJQUjof8m2r3VPv3v//NFbxC6LHHHlPEFLZ//36eNPqClixZ4qnDkn67AAHLe05dgKmpD/lQi9vowRYj6FTauQL9vHAhR9Uf1ipAoaJGeHj5TzGbGpzy7tzevTaP6YkTxkdmzwi7D1zmMcVJjbymaJ/YbJhxn6RVEDA5Agc5NAZTwpgKtreMjAwuDtKdJe86Go5gO6tjHOO47759+xquL64RnlJM569evZr+/PNPJTHlKvvqq6/U1L19+Bmm9eFJHTt2rO60P/30k5K68uOC9K1ateKcy5sK7KvboYIavvzySxUeYW/QkEU879ChQwu0IwFt+fLlnDu6i8Pw/Vks/zoOMetQQT2X07obAXGLuRtxE5wPcYa1gqLyewIN0//97wQrG6WoMn8PPxzLJQLFq1amS7V7t81jWhgxvf9+4sArlxLTi1kp9OUBvZelXVRzasuLmCDgiQho0+nPP/+8ir+El/E8V1p7/PHH6ccff+Tyyrbyphjbxo0bWSLon4rQgbQuXLiwTEMGQcLxQY4xHe0qg3cYlanQ5//+97+0m58n8Nru2LGD7sJsyxVLT0+nO++8UyVqgXTDuwuvJGJTQeLNZsAM3u0RI0bQ119/TQkJCVzjvhOXFT1Q4KXiLBcoQVgDcBjJYU8g2xhXjx49eGYvxWzDkv64AAHLklOrJkQ53kOILV2y5AItXnyBV/nQwIERNGhQhJQmdQSqJJ85Jk3JRZ06ZbwXT0lyYJytsLfxFuXS+vm+RZSSnaY7lmOssW4DaRAETIxAgwYN1JQ+iNmMGTPo1ltvVTGmIKeOOQTh4eHUhwtaYHq8evWyl6TElHS9evUUQYIX1lX2f//3fxQaGqq8oQ8//DA1a9ZMJXoh3tXeXnzxRUVO7+eXXcTBoqIVCDqI6W233eaq7pX6uC+99JLy6H7HqiQgnSgPi+vnqIDw3nvv0dq1a5WnGts0b96cFWReVWNDzK2Y9yNgWXKqXVrHh5n3X/KCI4Se6fvvn1DVMFq2DGJPRAxPoVj+tij9bcDTfTy3SOwSMD4G/9Cwm5rfA1yfZGY0pY8405ENufqUmCDgwQhMnjxZTa8/8cQT1L59e6VB+vbbbyuyam9IYmrTpg3HzpdPQQsQK5BA/P3jjz9chmDbtm2VtxQxmiCc8NbCazqcVT0wVs2WLVumyCky3jUDIb/llls4uXWziuc0k9177730+++/03PPPZdfeQue70mTJhXoZq1atRTG9klnCGmApaammmlI0hcXISAsxEXAmumwhy6dpDtWPks/n9pSoFuoH4zp/HPnsvkt3Y8fELUpKkriTEt97dP3qwYAACAASURBVFCKFFn5hVWR4WkpLuDsFmKKa61JhtmPZ3T8QAr0K1+B/1LjJTsKAiVE4BTPRoCkwRDz+Z///EcJ48OjBiKDv662OnXqqKQeeCcRB1qeBmcJEroQPwuPIbLYQd5Oc1U5TGkj/tLeYwvvKBZIMtmbRurMIjkFnDAuEGvExL7yyivq5WIPaz4Dzx9++KFA/x944AFFrGNiYvLbEZKB2FMQXDHvR0DIqfdfY5rCovtfHVhG3RaOp+8Orswf8aJFFwgL7O67a7LntKoF0HDRELcw8ecfD2b6xieAVMpbb7mFmKIDRl5TxBpLIpTx5ZFW8yOA+EQk02CqF0k09oaYREz3Y3G1wYuJ88CDB3JVnvbss89S69at6YUXXihw2KpVq/Iz+m4lKWVP2LD9lClTCmybk5NDSJDCVHj9+vXLs3ulPlb//v3VuObNm1fgGA0bNqQBAwYoglqYXbhwQWXzf/vtt0r31R0as4X1Rdrdh4Bls/WtEnOalZdN03cvUHdUREAo9a/bWf1/x45Umj7dFhN5443V+O07ij0Prp9qdt+t7cYzcVwYi8IS68sYn/SZZ4hee814nQtaE9Iv0JxDq3RH7l6rLcWH1dO1S4Mg4AkIgAhCcH/w4MG6+NEjXOQC3kX7ZCFXjgmhAsj+xxQ1YkHLS/P0119/VVP4mJZ3NKzD+OA9LMrefPNNlSCGjH+z/M4hfhSkGola9gZPMZLWCvOGwqO6Zs0aOsRa0Sgha0/Mi8JA1nk+Apb3nHp7zCk8pWczbF4GiK5jShfT+IgzPX06i+Wi/JSeaVCQawTgPf8rUswI1q0j6tWrcGLKuoTuJKbo7fQ98wkvJY4miVCOiMhnT0IAcZjI8obIvr1hqh/i+++++y7Fx8e7ZUjw9NWoUYNOsBoHlvKyIVzCGOL0EKq3NxQb2MphQ4hBLcowVY7Y2++//75QSa2i9nfVOoQeID62du3a+aeAhxeKC2hDZS8jg8f19ddfV5n9iL2FesHcuXONNpU2L0PAh8kZ52tbz/AGCtFmvKEuXrzYawHosuB++uX0Vp7Q9aE9t8+mhiF1WVrlCMcxnec3cB+W56hNw4ZdlZXyWiBcMbBffiHihyclJxsf/eWXiZ++xutc1Jp3OY/ivhxMR1IKKgXEBEXS0VE/kJ+vvIS4CHo5rBsQQLzlWxweg0x9eAVzc3NVhj5iFOHNLMqQZQ+y8z8kJJaDQet0zpw5ynOKjPPyiu+cPn26iqOFhxQe2WR+vuAcyNrXkoKMur9y5UqVIIbp78aNGxttUmFtqAwFSS+EZmjeXHjBUREKklHOeJ5xneE5xV/IbJUX3hUGipy4SAQsO61fJCpetPLVdg+q+MNLLCnUmCtD7duXzsLGieoL3r9/JD9UI71otG4cys8/24hpYZp7/CDmGoNu7JDtVIuOrdURU6y5v+mtQkzdfjXkhOWNADyW8AyaweClBVlCVj1IFzLMy8Og3YqlJIbqStBDXbVqVX7Iw+eff670QYuK5yzJOcqybVBQEL2Ml3UnDDGmIPv9+vUrUKYVpBZeVqgQHD9+XEl6iXkvAjKt7+WOY5Qo/bLHa7Sgz1tMSImnR85wID/Kk1bh+KWa/PYpcaYl/nojIxhVZgojptDhqwBiinFM3jlbNxx4S8c1HaJrlwZBQBAoPQLwbCKGEtPTriqZ6kzvIGqPTHZ4cTUtV3iUP/30UxV64GmGMA3EmUKZwN7gUIFCQmRkZLm9CHgaNlbqr2XJqVkCxd11s/n6+LI0R7oS2wdJ7dmzOsXGiqRQifHnuCmuVEDE01Q6g3bpO+8QsYB2RdhhlgxbfOxX3akH1O1CdYJr6tqlQRDwdgQgYYRqQ0hcgtA7ZKj2cllhZPvb64WWFgdk7UNWCslR9lqjpT1eSfeDmD3icFEWFIUIoHGKBZ7Ko0ePqux+TzPoyEKZYMyYMQW6Dm1bXEPE5DpKZ3naGKW/xSMg0/rFY+QVW5w5k01///thJbYPUooqUBzOJFYSBHjqjDhhgUUI9XuBmL7/PnFkv36dm1qm7JpDiDl1tInNhzk2yWdBwBIIgJRq8kUTUZmNDTGdsKd5diMsLKxMOKCKE6b3Uc4UxBdySe40jA8xm0YGKSlPNRBQSGQhNMHPz0+pD6D0KXBGCVkx70dAyKmXXuPLdFklQcEgtj9jximOjUrjgHpfDqyP5TgkW7UNLx1++Q+Ls185c4z4Cak/Nojphx8S11TUr3NTi5IM22OTDLM/ZaNqdahXbHs39UJOIwiYC4Ebb7yRsLjSoLuJaX3EQl577bVOJfeUV39Q0tMbDSETjzzyiDcOTcbkJAKW9Z1587T+rwl/UNOvh9Hbf35BZ1IvsqfgNMtv2MThBw2K5OqaYeI1dfILojaDcHRhxBTu548+qlBiii7OPvgjnWF9U0cb32wIIaRDTBAQBFyDABKOYmNjlc7q4cOHXXMSOaogYDEELP+r5Y1KWpM5O3/vxaP0+Lq36I2vf6XPPjvNkiuXWcQ4hN9GY3maRJKgnP6ec0wX3X67sce0EssyYYpw7FinD+eqDY0qQgVU8qcx8YNcdUo5riAgCDACcHR07txZJUatY91jJCOJCQKCQNkQsDw5LRt85tv7XEYSfXtwhepYvcDatPXLGH5oXqYOHarRv/4VR4GBcsmdvmos/Ex33FE4MeVsWC5t4vThXLXhjsSDtOb077rDj4jrSZEBZYup0x1UGgQBQUCHQFxcnJI5QiUjVKsSEwQEgbIhIEylbPiZbu8ZHHeYkWuLi4w7fjNX1LTJRj38cG0O/pcQY6cvGBdooDvvJGb2+l04QJ8rONjW69e6vcXIa4pOTGw+3O19kRMKAlZEAN7Trl27Kq8pYk/LQwnAijjKmAUBDQEhp152L3yylxN32Kr4VqFLS6/jKSfiWtQRXDEk0MtG6sLhaB5Ro+k51LVm2RY11W8CS+HiCp/v+0HXk1YRTahjzWt17dIgCAgCrkEAsafQ4Ny/f7+SPBITBASB0iNgWXKqJUR5W8zpTwOn0qttHqEWJ/vS5ZQgql8/kCtBRSiSKuYEAtOmEZdnIXaB6DcGMcVU/3DzeCS/2L+EkrNSdX19QLymOkykQRBwJQIoLQqZI0gebdiwwZWnkmMLAl6PgGXJqbdeWcQYNtjXl3wW8MKEdMyYaIqOZlIlVjwCrKtH48YRz8nptwUxnc3Vl7isnpnMaEo/pHIQ3dnoFjN1U/oiCFgCAUhJoUoT9EeTk5MtMWYZpCDgCgSEnLoC1Qo85qlTWSwbdVb1oEeP6ko2SswJBLguNT3wAKnyWY7GHhGaP59owADHNRX6eR1Lhm09v1fXh7sb96dgJqhigoAg4F4EgoODqW3btqpa1I8ocywmCAgCpUJAyGmpYDPnTnl5l3nW+QxnjGZweTcfuuuumkp0X6wYBN59l1hjy5iYchlARUxvMZ8ncvIu9uQamEzpG4AiTYKAmxAAOY2IiKCdO3eq+FMxQUAQKDkClmUu3iTCn52XQ5CQOnYsk9/Wk9Rd0LdvBLVoUbXkd4TV9vjPf4gmTSqcmC5cSNS7t+lQsZcMs+9c5+jW1DK8oen6Kx0SBKyCAKobDRo0SGXsL1u2jFJSUqwydBmnIFBuCFiWnGoIekNC1PzDP1HtWf3orh9foMPpx6hq1Uosz1lDkqCK+5q8/jrRk08ab8XTc7R4MdHNNxuvr+DWT1mVIT0nU9cL8ZrqIJEGQcDtCCBzv0OHDnT27Flas2YNRwsZhAu5vVdyQkHAcxCwPDn1nEtVeE+RFJPJ2qa/ZK+ivMu5XN+5qkhHFQ6Xbc0rrxA984zxVtWq2Ygp6xaa0S7TZZq8Uz+lHxVQnYbH9TBjl6VPgoDlEOjUqROBpG7cuJH27NljufHLgAWBsiAg5LQs6Jlg391Jh2nVyU2qJ9VON6GI7NrsNa1pgp6ZuAsvvED0t78ZdzA0lGjJEuJ6hMbrTdC6/PgG2p98TNeTsU0Hk79vZV27NAgCgoD7EYC0VI8ePbhctB9t2bLF/R2QMwoCHoyAlAzy4IuHrk/ZNYf9aLYpo8gdXally6rUqhVPSYsZI/Dss0T//KfxujBWNuAYMWrXzni9SVqN5KN8fXxpfLOhJumhdEMQEASAAAhqpUqVlPapmCAgCDiPgGU9p94iwv/r6W3qaldOq0b1k9rS2LExFBRk2cta9J3/1FOFE9PwcKKVK01PTI+nnqHvj67RjfOWOh2oQUgtXbs0CAKCQMUjEI7ni5ggIAg4jYB4Tp2GypwbfnXdZBry1/mUTEnUo1uUijcVc0AAyQhPPEH09tvG0HDJQVq+nKh1a+P1Jmr9aNdcysnTV6+SRCgTXSTpiiBwBYEaNWqww2AsVUMcu5ggIAg4jYCQU6ehMt+G2dmXaebnZ8jvQGOKj6pM99xTk+ObpE5pgSsFYvroo0QffGB8AfnHg1asILrmGuP1JmoFKf1o91xdj+oGR1O/Op107dIgCAgCFYsAZuiioqIqthNydkHAAxEQcuqBF03r8r596cyrEtXHoUOjqFYtKVNa4HKCmD74INHkycZXOTraNpXfvLnxepO1zj/yE51KO6fr1QSONUXMqZggIAiYDwHonaJiVG5ubv7i6+tLISEhLPcnzgTzXTHpkRkQsCw59fSHAqpBLVp0nlJTc7kaSWUaPjyKfH3lQZf/peIfBJowgejjj42/ZzExxBULiJo2NV5vwlajRChk549teqsJeytdEgSsiQA0TQ8cOKAqRF24cIHS0tIUOc3JyVELSCqE+u+++26qWVOUVax5l8ioi0PAsuRUA8YTxZGTsi7RD9v+pNWr8eaNAkbVKTTU8pfy6r3OD3+6/36iTz4xvv9jY23EtEkT4/UmbN2TdIR+PPGbrmdDGnSnmoGSbKEDRhoEgQpC4Pz58/Tdd6w9nWkrkgEpqXasABIYGKhIaZUqVSiMlUEiEesuJggIAoYICKMxhMXcjagONOn3NymgSwy12Hg/jRjRgr2m5u6z23oHYjp6NNHMmcanrFvXRkwbelaJzym7ZudLhtkPTBKhjC+ztAoCFYVAKGslX3fddbR//35KSkpSyVA3c6U5kFQxQUAQcA4By1IaT53Wh6bpf//8Tl3dzNCz1KddHNWtG+Dc1fb2rUBM77qrcGJavz6xu5nIw4gpypR+wi8kjta8ehx1i2nj2CyfBQFBoAIRqFy5MvXp04ffkUdzKemqahpfTBAQBEqGgOVf5TxtWh/VoPZdOqKuco1j13OsaYOSXXFv3ZpjumjUKOL5NOMRxsXZPKb16hmvN3HrVweWUmJmsq6HE5sN07VJgyAgCJgDAXhKMYUP7ykIKpKgMNWfmpqqFkzrg7zaG9qTk5MJBBcJU9i/PAxxr/v27VPHrsuzR1g81UFTHnjIMcyPgOXJqfkvUcEefrjjak31zrl9WQFJdE25/ArRyJFEc/UySwq9xo1tWflc59oTbTJP6TtacOUgurtJP8dm+SwICAImQCA9PZ127NihyCiqQ02dOpUuXbqkEqM0a9GiBTsXhquPSJRazlrLmzdvzve0gjx269ZNLUYGFQA4V1CBqjBLTEykn3/+mbZv367OgWOCNE/gZNGIiIjCdpN2QaDCERByWuGXoGQdSEn0Jd9cPwpIrknjuncUXVMQUzzgFy40BjI+3uYxreWZ1ZM2n9tFG8/s0I1tZMPeFOYfomuXBkFAEKhYBOCl/Oijj5THFN5SGLyk17CWMryhwcHBarHXPwXRhHe1TZs21IQTNUEkU1JSqJ7BTA8I7jIus7xt2za1D2Jcm7McHpKu8H8YCPGGDRsUMQUhxblx7FWrVtGhQ4cI5xMTBMyMgJBTM18dh77l5FymRmvG0Kmtvan2NenUbpzFyQmyYYdyPflFi4yvYrNmNmIKPVMPNSP5KAxFEqE89IJKt70eAXgzQRoxNY9pe5DUTp06qan0wgzbNuPn1d69ewneTkznBwUFUUCAPp/g4MGDtGnTJkVc4/nl+/Dhw7R+/XrasmWLinWFZ3Q1x9ZDNSCOw5l69uxJ0fwMTEhIoKNHjxKqVknFqsKuhLSbBQHLklMt3saTYk5PnMjkt+FL5JcXQmN7taTw8MpmuY/c3w+eNqMhQ4iWLjU+d8uWtql8VIDyUINk2Ff7l+l6375GS2oT6Tn6rLoBSIMg4MUIgJCO4vh3TKVD6xRWHBkEmYUnFHGhmmA/9uvQoQNLBfYugBa8ozGs03zjjTeyTHNTLll9rSKm8JLOnz9fbQupqltvvZVa8nMQ3tuzZ8/S7Nm28KDOnTuXWyxrgY7JB0GgHBGwLDktRwzddqiff77I0zGXeTqoMrVvb+FazTxtRoMH28qOGqHfujXxvBcxUEZrPabts70/UGoOk3AHm9hcEqEcMZHPgoCZEICnEiR169ataiofiU4giJhuh0HzFASyevXq+XGgg/mZhvWYctcWx4Qp7Itjjx07VsWaIrYV8awIAQAJRfjAuXPnVFjAmTNnlIf19OnTtHv3buXNBdFFrKuYIGB2BIScmv0KXelfSkou/fLLRfWpVatgDma36KXjhzwNGGCThDK6dhxXpYiphwf7QzJs8k59IlR4lWp0e1xBT4oRDNImCAgCFYsAptVBSjFLN2PGDEUO8X8sIJ9ISILcFOJPYSCbIK3OmJYEhWl/kFp4WzFdDyKM0ICNGzcqYoxzYpuGLJ8HT2ssCpCICQIegIBFGY4HXBm7Lh5MPkEztqygPw5AOD6QszfDeFrGghK1nO1K/fsTrVljfAHbtrURU/ZGeLr9dHIL7Uo6pBvG6PiBFOhXPvIyuoNLgyAgCJQbAihN2rFjR0U6MQ0PT6kmDQUPqRaTWpYTgugirtTekByF6f6MjAxFTnFOVKYSEwQ8CQHLklMt5tQTLhaqA/1772fkO7QytVzxBGdlXusJ3S7fPl5krzGI6dq1xsdlrwAtWUKcrmq83sNajRKh2OdCE0Tb1MOupHTXqgjAC9qrV68KGT6m+JFQJSYIeCoCliWn2gUze0JUZm4WTd+zQHXXN6cKtavZjKduCte189Qbsch+g5hyFipngxlvxpmwKmOfywR6g51OO0/zDq/WDaVHbDtqElp4xq9uB2kQBAQBQUAQEAQ8EAHLk1OzX7PvDq2kcxlJqpuReztSpxsirDWlz7Iq7H4gVqc2vlRdutiI6ZW4LeONPKt12p75lJV3Vaxb673IR3nWdZTeCgKCgCAgCJQOAQsGLpYOqIraK39697IPRe/txtIi3uEddApPTiigHj0KJ6bdu9um8r2ImOZezqOpu+bo4KkVFEWD6hlXitFtLA2CgCAgCAgCgoAHIyDk1MQXL4+JymAmJJF5MVTtRHOqXzWWK3E6l81p4mE51zWWXVHE9PffjbeHN/X774kDq4zXe2jroqO/0NGU07rej2s2hPx8LRbOoUNBGgQBQUAQEASsgIBlp/U9QYTf18eXJjW/m3a/fwNt3p1ALbtX5cxPH++/L7mSiSKmXJva0G65hWgOexedlF0xPIZJG40SoUBKxzW91aQ9lm4JAoKAICAICALli4B4TssXz3I/2r596XT0SCZVyQ7h2sgWKFd66hQRpusLI6bI2J83zyuJKSTDlh5fr7uHBtbtSrFVPbfSlW5A0iAICAKCgCAgCBSBgJDTIsAxw6r16y9yreUcJbrv9fGmJ07YiOmuXcbQoyoUPKas2+eNNnX3HEIoh6NJIpQjIvJZEBAEBAFBwJsREHJq4qublpZHixdfUD285ppgqlnTi4WUjx0juukmoj17jK/IMC7Z+c03xGrSxus9vBXZ+dN22+pi2w+lMUtH9ax9g4ePTrovCAgCgoAgIAg4j4DlY06dh8p9W/6a8Af9b8e31CalFx0/Hsyhlb6sPx/OZe/c1we3nunIEZvH9JC+IpLqx223Ec2aReTnvbfrtwdX5EuG2WM/odlQlt731gvv1rtMTiYICAKCgCDgIQhY3nNqRhF+ENNZ+xfTE6cfp8SI/dSkSZD3xpuCkHZjiaTCiOmoUURffOHVxBTPisk7Z+seGShTOrrJQF27NAgCgoAgIAgIAt6MgOXJqdkuLgT34UWDBSRFU/DpOOrbN5yCg71QRmj/fhsxhefUyO65h+izz4glCozWek3bnxf20y+nt+rGc1tcL4oI8I5yrLrBSYMgIAgIAoKAIFAIAkJOCwGmoppRqlSrDhS1q6vymnbvHlZR3XHdeRFbihhTxJoa2X33EU2f7vXEFEM3ko9C+8TmHGcrJggIAoKAICAIWAwBy5NTM03rI1N7yi7b9K5vbmWK2NOBbr01isLDK3vXbYlsfMhFITvfyMaPJ/r4Y0sQ05TsNJq5b5EOhesi4+nGGtfo2qVBEBAEBAFBQBDwdgQsS041EX4zXWD0aXKn5+iarI4UvvdGig4NVV5Tr0qEgn4piCn0TI3swQc5AHMyedegjQZqa5u5bzFdYoLqaCIf5YiIfBYEBAFBQBCwCgLem/7sgVcQWdlxWddQ7UX3k/+ZbOo/OkLpm3qNbdtGhLKjKE1qZI8+SvTOO5YhpoDAaEo/1D+Y7mjYxwghaRMEBAFBQBAQBLweAct6Ts16ZVeuTKQzTEwDAnxp+PAo8vX1Ehmh33+3lSQtjJg+8QTRu+9aipiuPb2N/riwT3cr3t24HwVXDtK1S4MgIAgIAoKAIGAFBCxLTrVpfTPFnJ45k0VLlyaq+65Xr+oUHe0lgvObN9uI6fnzxt+pv/6V6D//MV7nxa2Tr8QXOw5RpvQdEZHPgoAgIAgIAlZCwLLk1EwXGYlQl/nfsmWJnLyeoWSjBg+ONFMXS9+XDRtsxDTRRrp1B3ruOaLXX9c1e3uDvWSY/Vi7xrSh5tXjvH34Mj5BQBAQBAQBQaBQBLwooLHQMZp+xXeHVtLfNk6hwC2dycevHbVrF83lSquavt/FdnDtWuLSVkQXLxpv+tJLRC++aLzOy1shGZaZm6UbpXhNdZBIgyAgCAgCgoDFEBByaoILjupAe5MPEzU9Qu32N6WhQ69h3XkPjzVds8ZGTC9dMkb41VeJnn3WeJ2Xt8JTPnXXHN0oawaG09AGrGQgJggIAoKAICAIWBgBy5JTs0hJ7Uo6RKtPckwmW8jJeGod3YCuvz7Ys2/J1auJBgwgSk01Hse//kX01FPG6yzQuuz4ejqQfFw30vviB5O/r5dp2upGKQ2CgCAgCAgCgkDRCFg+5rSiE6LgNUW8KSxqZ1fq2jWM/P09+LKs4NKrmMo3IqYQbH3zTUsTU1xnI/koXx9fmtB8aNHfVlkrCAgCgoAgIAhYAAHLek7NcG1z8nLp6wPLVFcqp4VSo5R21LFjNTN0rXR9WLqUaMgQovR0/f4gppCKeuQR/ToLtRxNOU2LjnEsroP1q9OJ6gXHODbLZ0FAEBAEBAFBwHIIeLCLzvOvlZ9vJfqh/afU6M9hFL21L3XvGkF16wZ45sAWcQnOwYMLJ6YffGB5YooL+9HuuYSXEkeb2HyYY5N8FgQEAUFAEBAELImAeE4r8LLn5l6mXxbnUui63hQa6kfDn48iPz8PTIRasIBoxAiiLH32uSpDinKk48dXINLmOHV2Xg5N2z1f15n6IbWob52OunZpEAQEAUFAEBAErIiAZT2nZhDh37MnjRYutAnT9+5dnRo08ECv6RzOOi+MmFaqRPTxx0JMrzxZ5h1eTafSzumeMxOaDSXEnIoJAoKAICAICAKCAJF4TivoLoDXdObMBEpKyqHwcD8aOzbG8+Sjvv2W6M47ibKz9SiCmE6fTnTPPfp1Fm0xSoRCdv598YMsiogMWxAQBAQBQUAQ0CMg5FSPictbUrLTaPO2JNq48RL5+vowv6tJkZEeJiH05ZdEd99NlKuPn2SWTfTZZ0SjRrkcS085we6kw/mSYfZ9HhZ3M9VgfVMxQUAQEAQEAUFAELAhIHOJFXAnTN01j3puHk5bW0+jkHqXqF+/iAroRRlO+fnnhRNTP37f+eILIaYO8NpLhtmvkopQZbgPZVdBQBAQBAQBr0TAsuS0okT4oWn6wbbvKMcniy403Eh9e9SkqCgP8prOmEE0Zoyxx9Tfn+irr4huu80rvyylHVRaTgZ9uvd73e4tqsdRl+jrdO3SIAgIAoKAICAIWBkBy5JT7aK7W4R/5fHf6FD6UXX6Wqfb0W396nvO/YfkprFjCyem33xDNEwkkRwv6FesZZuUpS/jKl5TR6TksyAgCAgCgoAgQGR5curum+DNTUzgrtidsUM8R9dUk4O6bKtmVQC3KlWIkLUPnVMxHQJGiVDBlYPo7sZcSUtMEBAEBAFBQBAQBAogIOTUjTdEBme1bz61X52x2qU69Ei/Tm48exlOBQH9Bx8kMiKmgYFE8+bZSpaW4RTeuutvZ3fSJl4cbVSjW6iaf1XHZvksCAgCgoAgIAhYHgHLZ+u7c1o/jWd2W815iY5U/ZN69qxOtWpxjKbZ7e23iZ54wpiYBgXZiGmvXmYfRYX1b/LO7wzPLVP6hrBIoyAgCAgCgoAgYF2dU3cnRMHpuGRJIiUm5lLNjJb0aM94JSNlanvjDaKnnjLuIojp95zk07278XppVXGmXx5YqkOiQ81rqXVEE127NAgCgoAgIAgIAoKAxJy67R5ISMjisMyz6nxdu4aZvxrUP/9ZODENDgbTFmJazN3zyZ6FlJ6TqdtqYjNJGtOBIg2CgCAgCAgCgsAVBCTm1E23wvz55+jw4Qzy8/Phokk1qUoVE0P/8stEzz5rjEy1ajZi2qWL8XppVQhAMmzKLk4Sc7DIgDAaEdfTsVk+CwKCgCAgCAgCgsAVBEzMkFx7jbRpfXfEnK7bc4Q+X7eefHgWv3//CGrUiJOIzGp/+xvRCy8Y9y40lGgpT1N38pBELuNRuKV11clNhKpQjnZvkwEU6MfqBmKCgCBQKAKbNm0qdJ2sEAQEAe9HwLLk1J2X9tVfhQE0zgAAIABJREFUZ9Hajq/RrhH/oA6Ds7i6p0ljTZ95huiVV4yhqV6daMUKohtvNF4vrQUQMJKP8iEfmthcpvTlVhEEikOgX79+lJOTU9xmsl4QEAS8FAEhpy6+sEmpGbQibbk6S15IMnVpUd/FZyzl4Z98kuj11413juDyqiCmbdsar5fWAgicSjtH8w//pEOlV+321KhaHV27NAgCgsBVBJYvX05nz56lqVOnCiyCgCBgUQSEnLr4wr+39gfKrGyrDjSgel+qUslkpUohIzBpEtF//mOMRFSUjZi2aWO8Xlp1CHy8ex5l5+m9PuI11UElDYKADoE3oBLCJuRUB400CAKWQcCy5NRdUlLT989VN5PPZR96upPJas6DmD7yCNG77xrf8DVqEP34I1Hr1sbrpVWHQE5eLn2023bN7VfWrlqDBtbtqtteGgQBQaAgAr/88otq2L59u0zty80hCFgUARHhN6p6VE43w4mENEo/FUw+sZWo6eVW1KZO/XI6cjkcBuN+4AGiKVOMDxYdbSOmzZoZr5dWQwR+OPoLHUtJ0K0b12wI+flW0rVLgyDg6QggqXTv3r10/PhxLiJnUN6YB+jv70/XXnsthYWFFTlcTOmnp6erbXJzc/nxNIUeeuihIveRlYKAIOB9CFienLrqkublEX331QWqu2QcNY1Opade4ulxsxg6N3480bRpxj2qVctGTOPjjddLa6EIGCVCgZTe3/TWQveRFYKApyJw5MgRGjZsGG3evLnYIbz22mv0DJIuizBtSl/b5KOPPhJyWgReskoQ8FYEhJy66MoePJjOovvnVDn6Ph3qU59WJkmEYW8EjR1L9OmnxiOvw/1cuZKocWPj9dJaKAIHko/T8hMbdOsH1+tGtYJM9HKi66E0CAIlR+DixYuErPourHn8/PPPUzAX58jOzqbHHnuMPvjggwIHrFKlCrVv377Yk2hT+tqG2tS+n5/8VBULnmwgCHgRAvKNd8HFzMjIo+nTT1Nqai7FxPjTHXfUUOL7FW4gpvfeSzRrlnFX6tWzeUzj4ozXS2uRCEB0P+8ye6Ud7IHmwx2b5LMg4PEIPProowRv6ODBg/PHsmrVKrr++uupZ8+SF5qwn9LXDoip/cmTJ9PDDz/s8XjJAAQBQcB5BCyfEFVYjJTzEOq33Ls3nX76KUmtuP32GlS/foB+I3e3QDPwzjsLJ6YNGhCtXk0kxLRUVyYjN4tm7Fmg2zc+rB7dHNtO1y4NgoAnI5CVlUV9+/YtQEwxnnnz5lGbUip7OE7pa/hgal9MEBAErIWAZcmpqy4zvKWvzuSkmMbLKapeLj+8I1VlqAo1/iFh9y3R118bd6NhQxsxrV/feL20FovAdwdX0LkM2wuJ/cYTmg1j6f2KvgGK7b5sIAiUCAEkOI0cOVK3zw8//KA8p6Uxxyl97RiStV8aNGUfQcCzERByWs7X79dfk+lH3/l0rOM39OMtk+hU7olyPkMJDwdievvtnJ31nfGOTZoQu3mJ6tY1Xi+tTiFglAiFMqWjuVypmCBgBQR27NhBBw8eLJXndAUX+dCy9B2xyuMEzg8//NCxWT4LAoKAFyMgMafleHETE3Po46/30fm2W9RR46rVosZhFZgIBWLKmbT0/ffGo2za1BZjGhNjvF5anUJg2/m99GvCH7ptRzbsQ9WrVNO1S4Mg4I0ILFy4kBo1akTVqpX8nk9ISKBu3brlwwJZKpDSuldeml0RfuWN10DGJAh4CwKWJaeuEOFftuwCrfNdQZd9bdWBHmgxvOKmdDMyiIYMIVqyxPhebd7cRkxr1jReL61OI2DkNcXOE3lKX0wQsAoCCxYsKPWU/p0cD49Fs1tuuYWgBrAacfBigoAgYDkELD+tX15v5MnJOfTFVwl0Jv5ndRMF+QXQPU36V8wNlZZGHOxaODFlMWyV/CTEtMzX51J2Gs3ar38BuD6yGd1Qo0WZjy8HEAQ8AYEzZ87Qhg0bSk1OPWGM0kdBQBBwHwKWJ6flBfU335ylE6fTKPZgN4qtEkN3NOpDYf4h5XV4548DYjpwINGyZcb7XHedTcc0SnQ3jQEqWevn+36gFCaojibyUY6IyGdvRgCJUJiGL22mvjdjI2MTBASBkiNg2Wn9kkNV+B7I0P/227NE2X40KnwkPX/HU5RJPK3ubktJIerP3tqfbd5b3emRRQvSGh6uWyUNpUPAaEofLyUjG/Uu3QFlL0HAAxFYyYU7AgMD6YYbbvDA3kuXBQFBwGwIWN5zWtZpfVSAWrkykc6fz6agoEqcfxRFVfwrUTX/qu691snJxMKDhRNT/GhwRqwQ0/K7LL+c3krbLxzQHRDhHFX9AnXt0iAIeCsCf//732n9+vWqSpSYICAICAJlRcCyntPySohKScmluXPPqevQpk0wNWlSAaSEEwcUMV23zvh+6NiRaNEiotBQ4/XSWioEjLym0DSd2FwSoUoFqOzksQg0hFaymCAgCAgC5YSAZclpOeFHO3ak0vbtqUpoH15TeE/dakks/N6bp5B/+834tJ0724hpSAXEvxr3yCtaz2Yk0ncHV+rG0q1WG2oWxtW2xAQBQUAQEAQEAUGgVAhYflq/VKhd2Sk7+zItWHCOEuv/TucHfUY5dQ+V5XAl3/fCBaIePQonptANhJSUENOSY1vMHtN3L6CsvGzdVpIIpYNEGgQBQUAQEAQEgRIhYFlyqk3rlyXmdN++NJZPuURnWv5Ih2qupR5Lx9HBZDdVhDrHoQQgpltsgv+6q451mMqv6ubYV11HvK8h73IeTdk1Wzew6KAIurX+Tbp2aRAEBAFBQBAQBAQB5xGwLDl1HqLCt1y2LJESfI/Rpf9v7zzgoyq2P/4jDRJCLwm9SEfBghSlSVW66BNFkKeoWJ+o6MO/ihV5ytOHHSzYBVGUonTpAkqVFqpIj/RQQhJC7v+cCRuT3U3YTXY3m9zfvM++ZOfeO3PmOyv57ZkzZyptMzd1qHK1nApVJfsHfHVFcgqiQwdg3Tr3LXbtCnHpSrLVKPfXWZsnArP2LseuUwdc2hhcvzciQsJd6llBAiRAAiRAAiTgOQHGnHrOKsudR46cw7JlJ3G4oZxLf6EEZEk3Pj7dY7p5s3vL5WQV2aEFFCvm/jpr80xgrBuvaWiRENzbsG+e22YDJEACJEACJGB3AvSc5vITsGrVKfwZn4Bj9X41LVSKKo/eNf4+GzqXzeb82AHx1l13HZCdMO3RA5g6lcI0Z4p5urrndDx+2rPUpY1u1VujenSsSz0rSIAESIAESIAEvCNgW89pXlJJyUEo+P77I0hLDEeHHY+geLcVuLJ8A4SF+HGn/r596R7TbekhBC7T3KcP8M03QESEyyVW+I7AuLjvoTGnziUgXnPnTvmeBEiABEiABAohAduKU8dc5mZD1I4didBXaGgIhrRth75d/JzXcs+edI/pH3+4/wjefDPw1VcUpu7p+KxWd+eP3yqeaaeiccZdq7Z0ruZ7EiABEiABEiCBXBDgsn4uoC1ffhKafL9ChXCTeN+v5c8/AU0JlZ0w7dcPmDCBwtSvk5De+A+7FiA+8ahLT/c26IsQiTllIQESIAESIAESyDsB/kX1kmFychqmTz8KXdpv2DAK1aoV9bIFL25XQarCVAWqu3L77eke0zDbO8Dd0fF5nbsToXR3/uAGvX3eFxskARIgARIgAbsSoDj1cuZ1h/6fexMRHl4EPXuWk6V9ORrKH0VjS1WY6pK+uzJoEPDZZxAD3F1lnY8JbD7+BxYfXOvS6j9qd0L5YqVd6llBAiRAAiRAAiSQOwK2Fae5ScKfkmJh7lzJbdp4Prb0exEri8/GmdSzuSOf01Nbt6bHmOomKHdl8GBg/HgKU3ds/FSn6aMs+Z9zua+Rn+ONnTvkexIgARIgARIo5ARsK05zM69btiRiwYJjJrfpiah9eGbdmzibmpybprJ/Ji4OaN8e0LRR7sqQIcCHHwIhnDp3ePxRp19Avtgmp205lcvK1kHr2Mudq/meBEiABEiABEggDwSocDyEp7Gm3313CEdj4pBcSk5okuLzJd2NG9OFqSbad1cefBB4/32giJ9CCdz1yTpM2DEbJ1JOuZBg+igXJKwgARIgARIggTwToDj1EOHu3clYujQBhxv56UQoPYpUjyTVo0ndlUceAd5+m8LUHRs/17nbCBUdHoUBdbv5uWc2TwIkQAIkQAL2I2BbceptEv5lyxJwPOkUTlbdZD4ll5erh1YxTXzziVmzBujUCTh82H17w4YBY8ZQmLqn49fa3w5twpojW1z6GFD3BpQQgcpCAiRAAiRAAiTgWwK2z0HkSRJ+zWm6cOEJhKZE4YH97yL25rWoW6qab2Zi1SqgSxfg+HH37Q0fDowa5f4aa/1OwJ3XVDvlkr7f0bMDEiABEiABmxKwvTj1ZN5///20nAh1Vk4GDcGNHWuhwxVXePLYxe9ZsQK4/nogIcH9vc88A7z0kvtrrPU7gWPJJ/HNH3Nc+rlGPOZNytZ1qWcFCZAACZAACZBA3gnYdlnfU3SpqRamTTuKpKQ0xMSEo2XLkp4+mvN9v/wCdO2avTB98UUK05wJ+v3qZ9t+dJuNgV5Tv6NnByRAAiRAAjYmQM/pRSZ/7drT+PXXkybZfs+e5REV5QM9v2QJ0E0205w+7b73V14BnnrK/TXWBoSA5jQdu/k7l7404b5maWAhARIgARIgARLwDwEfKC3/GObvVj1Jwp+SkoaPPjqIE6knEFM7FT16lMu7WQsWpC/lZydMX3uNwjTvlPPcws/7V2Jbwh6Xdu6s3wtFQyNc6llBAiRAAiRAAiTgGwK2FacXw2fJYUA//HAEa9eewl9XzsbsDkPxVNwoHE7KZuPSxRrU63PnQhQukJjoerfmLn3jDeCJJ1yvsSbgBNx5TUOKhGBIw74Bt4UdkgAJkAAJkICdCFCcZjPbZ86cxzffHEJqyDmcaLQcKVYKpu9eglIR0dk8cZHqWbOA3r2zF6ZvvQU8+uhFGuHlQBA4kHgYU3f/nc/W0WeXqi1xScmqgTCBfZAACZAACZCAbQnYNuY0p2V99ZrOmXMMe/cm41TDVUgKSY8NHdygNyJCwr3/sPz0E3CTnMGe7OaoU/WYvvcecN993rfLJ/xC4MO4H5Cadt6lbW6EckHCChIgARIgARLwOQF6Tt0gTUhIxfTpR6Ei9UyzpeaOXC/pTp0K9JWlYHfCNETwf/ABhambOcivKhWlH22Z4tJ99ehYdKt2rUs9K0iABEiABEiABHxLgOLUDc8VK05i8+ZEnC92BkVKnDF3XF+tFWqWqOzm7hyqJk8GbrkFSElxvSk0FPj4Y+Duu12vsSbfCEzfsxj7zrgeIXtPgxsRFiJzxkICJEACJEACJOBXArZd1s+OakqKhZkzj+H8eQtNG1bEuNunYMFfv6JMUS/zm06aBNx+O5Ca6tqVCtNPPwUGDHC9xpp8JeDuRKjwkDBoSAcLCZAACZAACZCA/wnYVpw6Yk6dEcfFncHGjWcQElIE3buXQ9GIUPGaXuN8W87vv/4auOMOiMJ1vU+F6ZdfArfe6nqNNflKYLukjpq37zcXG/rUbI9KUeVd6llBAiRAAiRAAiTgewK2X9a3NLA0U1Gvqcacli8fhg4dSntP/PPPsxem4bKZauJEClPvqQbkiXFx30vq/ayfB+2YG6ECgp+dkAAJkAAJkIAhYHtxmvlzcOjQOWi8qW6g79SpDMqV83Jn/vjxwF13ufeYRkji9m++AW6+mR+9ICRwNjUZn26b7mJZg9I10b7yVS71rCABEiABEiABEvAPAYrTTFyXL09AfHwKilSJR5lm+70jrrvudXOTu6V8FabfyVGYN97oXZu8O2AEJv0xF0eTElz6u6/RTSgi/2MhARIgARIgARIIDAGK00ycdUk/NdXCsVazcNeWh3D55P44dPbYxWfCkafUKUTAPFisGDBFUhP17HnxdnhHvhEYu1kyKziVqLBiGFRPTvRiIQESIAESIAESCBgB24pT5w1Rx4+nYuvWRJyLPIndZVaaCTiXloqKkWVzngw92emhh2CSojqXqKh0YXrDDc5X+D6ICKw9shUrDm1wsejWS7qgdEQJl3pWkAAJkAAJkAAJ+I+AbcWpA6ljQ9TSpSfkyPs0nLl8OVLlf1ouuhHm9deBRx7JXphOmwZ07eq/2WPLPiEwNs7Va+rR/PukdzZCAiRAAiRAAiSQmYDtxanC0KX8+fNP4HxaGv6qv9jwiQ6PwoC6OXg8X30VGDbM/aepeHFgxgygY0f311kbNAQSUk7j6x2zXOy5ukIjNJMXCwmQAAmQAAmQQGAJUJwK7z17kvHLLyflRKhENIysD026ftslXbNf0h05Ehg+3P1MlZBl4Fkidtq1c3+dtUFF4IvtM3D6XKKLTfc1YlYFFyisIAESIAESIIEAELB9Ev5z59Ik9eghpKVZiI0ujfHdRsMqlQA9Y91tef554IUX3F5CqVLpHtNrvEza77411gaAwNjNkkXBqWicqX45YSEBEiABEiABEgg8AduKUwfqw4ctzJmTviP/ppsqICYmXE6HquB+Jp5+GnjlFffXSkvC/tmzgebN3V9nbdARWHxwDTYd/8PFrn/W74nIsKIu9awgARIgARIgARLwPwHbi9Nixa7E6dPnJeNTCHr0KGeOLXVb/v1v4LXX3F5CWdnRP2cOcBWTtbsHFJy177vxmmpO0yEN+wanwbSKBEiABEiABGxAwNbitEiRcERHp3s6mzUr4f5EKE0RpRuf3njD/cehvJy5rsL0iivcX2dtUBLQ/LXf71rgYtt1lZtBT4ViIQESIAESIAESyB8CthanYWElER5eESerb8KhxslItGJRCtF/z4QKU00V9fbb7mengiz/z5sHNGni/jprg5bAx1unIiXtnIt9F00f5vIEK0iABEiABEiABHxJwLa79TUJf3h4eURExCL+8pmYYI1Dta+64UjSiXS+KkwffDB7YRoTAywQzxuFqS8/jwFpK81Kw7jN37v0VSmqPHrXZJYFFzCsIAESIAESIIEAErC157RYsZo4V/EMTsVuN8hbVLwU5YvJxiYVpkOGAB9+6H4qKlUCfv4ZaNjQ/XXWBjWBmXuXYffpgy423t2gj0kjxkICJEACJEACJJB/BGz9lzg6uikON1qUQd8s6Z6XFFL33AN88on7WalSJV2Y1q/v/jprg56Au41QYSGhuKfBjUFvOw30PYHU1FT8/vvv8p3UQtOmTWVFJdz3nbBFEiABEiABjwnYVpyGhESgWKma2F/3UwOrSvGK6FW1NXDnncAXX7gHWK0a5CgpoE4d99dZG/QE/jx1AOo5dS7dq7dGtWgJ1WCxHYH4+HjccsstkrXjNFq0aIEBAwbg2muvReXKlaHhPywkQAIkQAKBJWDbmNPIyIYoWrQKKv1+AyqGxuCe+r0RNuif2QvTGjWAReJlpTAN7CfUx719EPcDNObUuXAjlDMR+7wvLTmK+/bta4ToDDl2WMVpt27d8OyzzyIuLg5JSUn2gcGRkgAJkEAQELCtOE1Kqo4IqyLqbO+O2Zd/gSdel133Eya4n5JatdKFqf5kKbAEdHe+7tJ3LpeUrIrOVVo4V/O9TQhER0dj9OjR+PXXXyWV8WsSSt4QGzduxEg5pri5HKoxcOBATJs2DWfPnjVL/ywkQAIkQAL+JWBbcaqhpVrCrVTUfuouRE10PcbS3KCeUvWYqueUpUATmPzHfGh+U+eiSfdDitj2PwVnHLZ9X0P+G3/sscewevVqLFy4EHfffbesrhTFd999h969e6NRo0YZ3lTbQuLASYAESCAABGz7F1lDycKtc3h+8xMoOdfVm2bY66Yn+SMFjTVlKfAExsZNdhlDsdAI3Fm/l0s9K+xLICwsDG3atMF7772HdevW4fXXXzcxqBqbOmrUKFxzzTXo06ePEa2HDx+2LyiOnARIgAT8RMC2G6JKROzDq9vlD82p1e7RapooTRelaaNYCjyBTcf/wOKDa1zGcXPtTunpw1yusKIwENBl+LS0NLMcn5vfded+//790blzZ7Oj/0NJL7d+/XpMnTpVDoabg3r16hmhqp7VihUrYtmyZZg5c6bZYHX99dcXBoQcAwmQAAkEnIAtxenbG7/Bt8W+QL3ykt/0lBvmjRunC1NNtM9SKAi4Sx+lAwvkRihHvKJDKHn7Xu3N7bPOfXnblqZbOi+xMP54+aJtd22oKM38cohTh1jN7lpO13X86lnVzVMag6qCVV/vvvsuYmNjsXXrVtNnFUk5R3FaKP7p4CBIgATygYDtxKn4T/DWxonYUSoefR+/BJuejkPDhEy7cSXPIebOBfRoUpsUh3BxN9xguqb2qT3uhEhOoulUSiI+2zLdZXiXFK2MxA2HMHvdbCO6vG3Xuc+cnlfBovc7BJG73zPX5XR/Ttfctet8v/P7iz2T02fABWohq/A0ldSRI0egLy1RUVGIjIw0cx0SYtvIqUL2SeBwSIAEAknAduJ07r5fsePkXsPYWnUcD5ethHklU4G9UnfFFenCtFw5j+fAIVAy/8F3rnP88c/801kQuLt2sbrc9uncrsPenH46+srunotdz/ycu3u1zp24c75X33tdahUHHpaNbcWzftx3jl+BzotdRavX7fMBFwIqykJDQ83L8bu3de7ud9eeu/s8rXO0l/l+Z7sd7/WnfkbnzZuHlStX4sSJE+bLkm6a6tSpEy699FLMmjULGzZswJgxY8xyv26iYiEBEiABEvCOgO3EaeW0MrjqYCX8XmI/UhcfxvK/LNwuf1TuT0zES7Jcd0LyGzqElDux5CyyMnuVMi+d6jRk9z6na87PeHKvJ/e4s9O7j0rBvTtk91mEiIcczcogrU05pNWIRJHkNETHnUOo5LhUYZLTS71nmQWWvs8sajx51vme7J537iuzMHL3uy4xO9pyXHfUOd5r38517trKXKf3uxNseo8nbemnxeF1vNhPT+715J7MXs6L9ZnTve4+6bt27TI5UD/++GPs2LEDycnJksCjBnr27Im77rrLpJ9Skfr0009j1apVJjdqfZ4i5w4l60iABEjgogSKiGixVeK+H374wSTcRqhs1z8f+KHrH0WHAMn8uwqB7K65uz+vzzr687Tf7IRKTiLHIXAy/8zpfm+veSKStE0HK8fPLYl78OfZePSIucblmvO93rzPzNKb53K696L/BfMGvxFISUkxXtAv5MS4H3/8Ebt37zZ9qYdUc5/26tULNWvWNGKdxbcENF43ISEBy5cv923DbI0ESKBAELDdv6pt27bF448/jk2bNpk0Mer90D82uRFGDsHmqUjSPvQZZ2HoqMuuPrM4dX7e+b3j3sxtXazd7O51fq5AfKI9MPIyXObBXbzFrgR0uf63337DJ598Ypbwjx49ilKlSqF9+/a444470LVrV7Mzn4UESIAESMA/BGznOXVg1NjFLVu2SArTaihRooR/6LJVEiCBAkNAPXWTJk0ynlI9LercuXPQ06M0LZR6Slu1aoWIiIgCM56CbCg9pwV59mg7CeSdgO08pw5k6hXkZoW8f4DYAgnkFwH1aC5duhS6/F5BsmtoonzNS5qbsmbNGtx4443Ys2ePebxu3bpGkN55552oWrVqbprkMyRAAiRAArkkYFtxmktefIwESCAICOimI11i37lzp9l4qKE17dq1w1tvvWWEpbdFNzypp1SX7AcNGmRylOpSvn6JZSEBEiABEggsAdsu6wcWM3sjARLwFQEVkZq6afHixSanaJkyZcwxoupB1fhx3fRYp46kDvOi6O77AwcOoHz58gzz8YKbv27lsr6/yLJdEigYBOgWKBjzRCtJgAQuEDh27FjGLu4RI0aY3KJPPfWUWdLfuHGjSfekKd+8KZoGqlatWhSm3kDjvSRAAiTgJwIUp34Cy2ZJgAT8Q2Dt2rVmCV69pj169DDeUhWnJkWclO+//z4jdtQ/FrBVEiABEiABfxKgOPUnXbZNAiTgcwLr1683bWqO0bJly5rf1fP58MMPm93027dvx88//+zzftkgCZAACZBAYAhQnAaGM3shARLwEQHHjvpKlSqZVE+Ooqme6tWrZzZIffvttz7qjc2QAAmQAAkEmgDFaaCJsz8SIIE8EdAcxVqcd9Lrez1OVA+i0A1SuvTPQgIkQAIkUPAIMJVUwZszWkwCtibgOJ1JNz/FxcXh6quvNoJUi6aX0mX9jh075jrnqa3hcvAkQAIkEAQEmEoqCCaBJpAACXhOYOvWrWjZsiX0mFHdDPXuu++idevWLp5Uz1vkncFGgKmkgm1GaA8JBJYAl/UDy5u9kQAJ5JGAxpWqINVNUOo91ZOd9NhRFhIgARIggcJBgOK0cMwjR0ECtiGgS/i33norpk6diurVq0Pznt5zzz2YMWOG2QzFQgIkQAIkULAJUJwW7Pmj9SRgSwK6+alLly6YMGECGjRogNOnT5t4U92ln5SUZEsmHDQJkAAJFBYCFKeFZSY5DhKwGQH1oGr6qHfeeQc1atTA0aNHMXjwYDz22GPYv3+/zWhwuCRAAiRQeAhQnBaeueRISKBQEdBUUOoF1VdycrLbJXsVqLoz/6uvvkKdOnWQmJiI999/H48++ijOnj1bqHhwMCRAAiRgFwIUp3aZaY6TBAoQgRUrVmDQoEHo06ePefXr1w9vvfWW2aHvXDTvqaaXGjZsGEqUKGEu6wlReswpCwmQAAmQQMEjwDynBW/OaDEJFGoC8fHxuPfee7Fhw4Ys45w+fTreeOMNDB061KSS0kT7s2fPNhuhDhw4gPPnz5uXFhWp5cuXL9ScODgSIAESKKwEKE4L68xyXCRQQAloiqioqChjfenSpXHTTTfh0KFDmD9/PvTo0ieffNKIT13udyzd6/J+bGwsqlatitq1a5vd+7rMz0ICJEACwUhAs4yULVs2GE0LCpsoToNiGmhgndTqAAAdoklEQVQECZCAg0CZMmXMEv1TTz2FDh06YNy4cUaELlmyBG+++aZZrk9ISDB5TmvWrGliTvVVt25dxMTEQJ8PDQ0lUBIgARIIGgK6qrN8+XKTAk9fGlM/ceJEtGjRImhsDCZDKE6DaTZoCwmQgCGg3lL9R7tcuXLmfWRkpEkd1a5dO+gJUbqMr97VRo0acfmenxkSIIGgJHDmzBnMmTMH06ZNw48//mjyMvfq1QvffPMNnn32WRw5ciQo7Q4GoyhOg2EWaAMJkEAWArpMX61aNRcq6i1t0qSJebGQAAmQQLAROHjwoBGiKkgXL15svmTrps4XX3zR7b9pwWZ/sNhDcRosM0E7SIAESIAESIAEChyBTZs2GTGqy/U7duwwqzwDBw40Ke5KlixZ4MYTDAZTnAbDLNAGEiABEiABEiCBAkFA40c1Bl4ziKgg1XR2PXv2xMiRI03oUVgYpVVeJ5IE80qQz5MACZAACZAACRRqAnpE8qxZs4yHdObMmWYzZu/evTF58mQ0bdq0UI89PwZHcZof1NknCZAACZAACZBAUBPQjZfqHZ0yZYrZaa/HJasgHTVqFKpUqRLUthd04yhOC/oM0n4SIAESIAESIAGfEFi/fn2GIN21axe6deuGwYMHY9KkSRkn0PmkIzaSIwGK0xzx8CIJkAAJkAAJkEBhJZCammp21etyvb40U4h6R0ePHo3WrVszfjSfJp7iNJ/As1sSIAESIAESIIHAEzh58mRG/KjGkV5yySVGkOoSfuPGjQNvEHt0IUBx6oKEFSRAAiRAAiRAAoWBgG5kSkxMRHJyshGf6h3V+NE2bdqYhPjqIa1UqVJhGGqhGgPFaaGaTg6GBEiABEiABEhACaxbtw4vv/wyFixYYI401vjRe++91+ywL168OCEFMQGK0yCeHJpGAiRAAiRAAiTgGQE9r37RokUm96h6SSMiIlCvXj1ceeWVZhlfBSpLwSAQUjDMpJUkQAIkQAIkQAIkkJVAQkICJk6ciNtuuw0xMTEYMWIEqlatihkzZmDbtm3o378/KlasSGFawD449JwWsAmjuSRAAiRAAiRgZwK7d+/OOJ3pt99+M6cy6YamMWPGGIHKUvAJUJwW/DnkCEiABEiABEig0BKwLAtr1qzJEKT79+83x4U+9NBD6Ny5M6Kiogrt2O06MIpTu848x00CJEACJEACQUogJSXFbGTS3fUaP6oCVL2j77zzjjmpKSSEUYlBOnU+MYvi1CcY2QgJkAAJkAAJkEBeCBw/ftzEiqognTt3rsk5qh7SefPmmY1NLPYhQHFqn7nmSEmABEiABEggqAjoEaGO05lWrVqFjh07okePHsZDWqFChaCylcYEjgDFaeBYsycSIAESIAESsDUBjR9dvXo1pkyZYpbr//rrL5MMf+jQoejUqRMiIyNtzYeDTydAccpPAgmQAAmQAAmQgN8IJCUlYeHChRmCtHTp0kaQjhs3Ds2bN2f8qN/IF9yGKU4L7tzRchIgARIgARIISgJHjx7NEj/atGlTI0g1SX6dOnWC0mYaFTwEKE6DZy5oCQmQAAmQAAkUWAI7d+7MOJ1p7dq1Jn5Ud9iPHTsW5cqVK7DjouGBJ0BxGnjm7JEESIAESIAECjyBtLQ0rFy50ghS3dSku+11M9OAAQPMGfZ6ahMLCeSGABOF5YYanyEBEiABEiABGxLQ+NEff/zRiE89JvSee+5BkSJFMH78eOzbt8/EkcbGxuKrr76yIR0O2VcE6Dn1FUm2QwIkQAIkQAKFkMCRI0eMIFXv6Pz583HllVea+NHhw4ejdu3ahXDEHFJ+E6A4ze8ZYP8kQAIkQAIkEGQEtm/fbpbr9bVx40ZzTGjfvn3x0UcfoWzZskFmLc0pbAQoTgvbjHI8JEACJEACJOAlAY0fXbFihfGOqiA9deqU8Y4+88wzaN++PYoWLepli7ydBHJPgOI09+z4JAmQAAmQAAkUWAKJiYnmaFDH+fWVKlUygvTLL780S/caS8pCAvlBgOI0P6izTxIgARIgARLIBwKHDh0yJzPpSxPjN2vWzAjSZ599FjVq1MgHi9glCbgSoDh1ZcIaEiABEiABEig0BLZs2ZKRf3Tz5s3o0qUL+vXrh08//RR6WhMLCQQbAYrTYJsR2kMCJEACJEACeSBw/vx5LF++PCP/qKZ/6tmzJ5577jm0a9cOEREReWidj5KA/wlQnPqfMXsgARIgARIgAb8S0PjR2bNnm/jRn376CdWqVTPL9RMmTDDxoywkUJAIUJwWpNmirSRAAiRAAiRwgUB8fLyJHVVBunjxYrRo0QJ9+vTBCy+8gOrVq5MTCRRYAhSnBXbqaDgJkAAJkIDdCGzatMkI0ilTpkBzkXbt2hUDBw40O+xLlSplNxwcbyElQHFaSCeWwyIBEiABEij4BDR+dMmSJeaEJhWk+l6X60eOHGniR8PC+Ge84M8yR+BMgJ9qZyJ8TwIkQAIkQAL5SOD06dOYNWuW8ZDOmDEDNWvWNIJ08uTJaNq0aT5axq5JIDAEKE4Dw5m9kAAJkAAJkEC2BA4cOGDEqJ7OtGzZMrRq1coI0ldeeQVVqlTJ9jleIIHCSCCkMA7K92NKAe6pCDkuA4i8BUj2fQ9sMTcE8jAv1hGgW7H0Oa39GHAuN/3zGRIgARLIPYENGzaY5fnmzZujSZMm+OWXX3DnnXdi7969mDlzJu6//34K09zj5ZMFmAA9pwV48mg6CZAACZBAwSGQmppq4kfVO6o77PV40N69e+PVV19FmzZtGD9acKaSlvqZAMWpnwGzeRIgARIgAfsSOHnypMk/qoJUvaF16tQxglTF6aWXXmpfMBw5CeRAgOI0Bzi8RAIkQAIkQALeEtBled1dr4JUT2pq3bq1EaSjR49GpUqVvG2O95OA7Qgw5tRlyi1gzXigu+yILCkxiaVrAP1fAQ6cd7kT1hlg5v+APq2AWMkvVzQKuOQa4JXZmWIYTwM3RgIhcu3pGcC79wENY4BixYErbgV+SwAOLQMe6ApUKSltRMv1TsAHqwAxJaN41NeFu8/uBF4aCDSIBSJC0+MqNV7W8er6QXrbe+YB990AVC8r/YqN1a8A/jVW7HEz1iyj99GYtM2984EHewC1ywsT4V2hNtDrX8DiA068vZgXfTLXY3Pqlm9JgARIwAMC69atw4svvohmzZrhqquuwooVK3DvvfdCNzrpiU36O4WpByB5CwkoAYslK4FfnrGsEkUskUKWVSTEsqIi5af8ru/1VewflpWkj5y1rGev+PtaEXlGX+a5CMt6aK5lpel9pyyrT7H0+rCw9Gs1G1hWWblH763a1rIaSx8hxS2rXiPLKhOeXh9SwbI+33fBNk/7ktvP77esfpXT7YqQNlq0sqxq0X/bGVbKsh4T2za8ZVkxodKX2BwZY1mXiU3RF97XH2JZh4zx2RRfjEmaVhtitU9lJj+jxc7QCwzDqljWB1v+7t/jebnQ7sXGlnbYsm4omt53rUctKyWbobKaBEgg4AQksbzVsmXLgPfrTYcpKSnW3LlzrYcfftiqUaOGVbduXevxxx+3Fi1aZElsqTdNFbp7xWtsde/ePSjG9dVXX1n9+/cPClsyG6F8lBOLewL0nGb+jnJ+M/DIaOCUyKXSbYFFB4Ez4iXcOQ1oKl69LEXed+8HtOoMjJ4OHJEt/AkbxYsqSzaW7CL/+DXgYFrWRyLEGzv7T2BXHLBD2qwlXs19i4EtFYCJW4Ctm6R+anp9muwm/2ASYJrwoq8DU4ApYneRMmLDBmCFeGW3zATqaQRHODBiKfBaVeDefwN/SeP1BgPb9wLr1aafgEZy39aPgddXOo03m7e5HdN5Ga/aEC9e2vLiKV4qntJTp4SHeFLblAZS9wOP3S+sxEZv5sXRri/Gls2QWU0CJGBPAgkJCZg4cSJuu+02xMbGYsSIEahcubLJRbpt2zb897//Rdu2bREaKv+2s5AACeSaAMVpZnRxk4HfNU+U/MMy6GURSZI+CoKoliy5X13CFXILEVe/zAGGybJ0WRF+JRoBd4nQkhV0JIvQ3ZKa9ZnSzYF2F+KNyrQGLpdntJTqIEvZIhi1lG0PXBUhv4hA3rVDRFp6NTzty3IIYmm7pIQSaImQcIFiapS0mSbXf/8SWHlW7JR+HnlOwgku2BEjtg+SpX3tdPYsEYUX+s7pR27HtGFCug0QMTx4JHCNspYS2x54+Q4zBTgtQvqb7YA38+LLseU0bl4jARKwBYE9e/bgnXfeQefOnSEeUnz99dfo2LEjNm/ebPKRDh8+HI0ayb/9LCRAAj4jIMqAJYPAdvEeGjEoYu2qJh6CkQSZ234Dfl0v8ZOHgI3iPTVFRK44ULMvInodX67DpT/VjqZIfdiF7wypzsk3PeirSl/gJvHaTtgnoq8NcL14a3ctFM+oPFv6OuDWxiJOxWupwtMSGx+sJi9H35l+Hv4r/R6vHABejGmHsDbiVz6CTRpmNaDhZaYa52Uytog4re/FvOzwYmxuhs0qEiABexOQRUasXbvW7KbXDU379+9Hz5498eCDD6JLly6Iirrwpd/emDh6EvArAYrTzHjlzOKMEnHBm5gtfvFCrvlQNjKNkE1NIuTkbZaSITazbcCLC170FVIZeGuc2NQb2C1CbaKECpSoAvQeBjz/jAg9UZtxRdP7LiKbsm5/VDZxOStQMb6GeIsvhsCLEbjemgOgzCx1E5c38xIRDGNzHS1rSIAEgpeAxI9i4cKFRozqKU2RkZHo06eP8ZhK7CuX6YN36mhZISVAcZp5YivJ0ro6LVUM/SmeR9TLftqP/SAnDElMpOhStHtcYjn/Kbvv68hS9SPADbIb3pfFm76sY7JUf5fEj4rCe3w28J926V7IzPY0FK9w2NeSUUBcu41vB4Y38KW1nrVVT5bBVBNLUmoT79pfQh4cZYvEyhoPtnw8G8kceDMvno5NT4hiIQESsC2B48ePm7yjKkhlY5NZmtfjQufNm4d69XL4t9+2xDhwEggcgQvrx4HrMKh7atoRqKhIRBl9+rZsctL4TRGqq8VDOud4VtPjlqZfD5EUSMMlZrKDJFMuI4Iw7g9XL2peB+1NX9ZJSaOktsoYXm+fnkqqmMTLVhbhfJ0cvfrpWqDObfK7xKHqmZ2jh0g6LLFZh5osSvsH2RB2u6zzb0rKq9U5P9+4P9BSl8fEzo+flg1RqvKlHFwAPPN5+pJ/ifbALZfIZjQv5qVuEIwt55HzKgmQQD4R2LVrF95880106tQJNWvWxLfffgvJDICtW7di6dKlePLJJylM82lu2C0JZCZAz2lmGtFdgCfbisdxocQ6vit5PycC5US1HZAd++Ul/yhO/H133Stlw5EI2eOHxVMpS+gda8qu9/mSn3NPej5RX37OvOkrRDZc9b1WNmqJyAuR6dW4zWSx/6C+dop9i4Bo2az13psiqO8VIbtYPMAiXMNlOVxjUFNFYBeR38tJ7OpbIgr9VULrAuNECHcST/PBeUBbCUeIlKwESbJRK01sCJdY2DEyBzX0y4IX8xJS3bOxvdnUXyNjuyRAAkFCQONHV69ejSlTppik+PHx8SZ+9JFHHjECVZfvWUiABIKPAD2nWeZExNwj3wFvDAJqimfxvHgPS8ru9TE/A9+Jh9HseL9QKoqHbtILsnFK4jl3ibiaKLv2S98kqZskBVP3cr6daW/6mi1i7wkRplUHSlomsV9356dIiqYVIgTLynSnybL/KhGpl/xTNnGJmP5XT8lGIEn41UNcoqqIxTuAr1fImP0oTB10Gj0gYRBzJW63u4hQTR8lQrpMTaDnw8D8XyXzgQhYU7yYF739kn/m/9jSDef/kwAJBJhAcnIyZs2ahfvuuw/VqlXDoEGDJFLrPN5//32TEP/DDz80ApXCNMATw+5IwAsCkvFc85CzFA4CIjBHtpBl8dVyOtRQEWhviLi+IKh3jAWay3L9CRHdX+0AbvOxgC4cADkKEiCBICBw/fXXQ3OK6tGfnpRjx46ZU5h0h73GjzZt2tTEj+pLkuN70gTv8SEBnQv9MqDe6vwumvpL7ZFk/PltSpb+e/Togfvvvx+SjD9o7Proo4/QrVs3k7s3vwuX9fN7Bnzav+ww6iVxpa+ukbAEWbav/r3El8ZKaKmEHmz5U36K57Tbq8DNFKY+xc7GSIAEAk5g586dRozqa82aNWaZXs+vV1FUvrzsBWAhARLwisCwYcMwZMgQXHvttfjHP/6Bm266Kd+EKsWpV1NXAG6+7AnZXCTxmq/JJq5Fsvlp/QGgqJwWdbks39/xmJzK1M7PKaIKACOaSAIkUOAIpEmI0sqVKzPyj6q3VJfnn3jiCXTo0AHFijmf4lfghkiDSSDfCeh/Z0uWLDGvoUOH5ptQpTjN94+Crw2QZfwmEg/7pbxYSIAESKAAE0hKSjKpnTT3qL7KlStnlurHjx+Pq6++GkU0DzILCZCAXwjkp1BlzKlfppSNkgAJkAAJ5JaAxuMtWLDAbGSKiYlBnTp1TOxo6dKycZIl6AmcPn0aJ06cQNWqssk2n8vJkyeh9gRDHGVmFPv27TOf5+hozQQUHGXMmDHQDYUXKyVKlMCoUaPwwAMP+O0LIsXpxWaB10mABEiABAJO4O6770aVKlV4XGjAybNDuxJ4/vnnoasV7krx4sWhXxo1FlU3Tfk72wXFqbtZYB0JkAAJkAAJkAAJ2IiAenI1S4ajBFqQZkbNmFMbffA4VBIgARIgARIgARLIjkB+CtLMNtFzmt0MsZ4ESIAESIAESIAEbEJA89J27NjR70v2nuCkOPWEEu8hARIgARIgARIgARIICAEeXxoQzOyEBEiABEiABEiABEjAEwIUp55Q4j0kQAIkQAIkQAIkQAIBIUBxGhDM7IQESIAESIAESIAESMATAhSnnlDiPSRAAiRAAiRAAiRAAgEhQHEaEMzshARIgARIgARIgARIwBMCzHPqCSXeQwIkQAIkQAIkQAIkkEFAjxdesWIF9uzZg/Lly6NVq1Y+O46VqaT4QSMBEiABEiABEsgTge3bt+OHH37A/v37ERMTgxtvvBENGzbMU5u+eHjx4sVYtGgRzp49izp16uCWW27xmYDy1r5ff/3V2HLmzBnUr18fffv2RbFixbxtJijuX7ZsGR599FEMGDAATZo0wYEDBzBt2jQMHToULVq0yLON9JzmGSEbIAESIAESIAH7Evjvf/+LmTNn4o033jCCdPfu3Rg9ejR69+6N7t275wuYxMRE9O/fH7Vr18a//vUvlChRAuvXr8ftt9+O8ePHo1y5cgGzS20ZOHAgKlWqhIceegilSpXC2rVrzTn1n3/+OcqUKRMwW3zR0aFDh9CzZ08jtC+99NKMJlWgPvvss5gzZ06eu2HMaZ4RsgESIAESIAESsCcBXdb9z3/+Y7ymTZs2RUREBGrUqGHOaB87dmy+QXn55ZcRHh5uBHPNmjWNGK1YsSL++OMP4+ELZHnppZcQGhqKd955Bw0aNDAiVUXzvn37oKcyFbQyZswYwzOzMFWP+bBhw1C6dGmfDIfi1CcY2QgJkAAJkAAJ2I/A22+/japVq6JkyZIZg1eh8u2336J58+bZAvn999+zvZbXC2lpaUYIXnbZZVma+umnn7B161Y0btzYpYujR4+a+En1+lqW5XI9txWpqal488030axZsyxNfP/999i4caMRq87lyJEjWLVqFXbs2AF9PtjKli1bjMj/4osvkJSUZMyrUqUKlO+HH37oE3MZc+oTjGyEBEiABEiABOxHoFOnTpg/f76JP7zjjjtM/GGRIkWgAks3yTiKCsa4uDj8+eefmDBhAr7++mvjXdXldl+XkydPmqXz2NhYjBo1Cr169ULZsmWRkpKCEydOGA+qoxw+fBj/93//Z2zVWNmFCxdCxderr75qwhLyWuLj442ntFq1anjttddMmIOOOTk5Gbo8rvWOojx0WVztU8+qQwA+99xzJkQhWIqGcTzxxBPGnOjoaLRt2xZ9+vTB3XffbebeJ0W+IbCQAAmQAAmQAAmQgNcEPvvsM0sEiboazatChQrW/fffb506dSpLW7IhyRoxYoT16aefWq+88oq5V4Si1/15+oDERGbYFBISYl1++eXWl19+6fK4bNyyxFuapf7JJ580YxJPoMv9uam47rrrMmyRUAOrZcuW1nfffefS1H333WfYZS7PPPOMpfYvWbLE5f78qpAvGtbIkSOtypUrZ4xL5/Phhx/2mUnqvmYhARIgARIgARIggVwRmD59uiVeRkviEDPEimz2ybat9957z+/iVHbEGwF11VVXWWFhYRl2ZRaFu3btssTzZ0loQhZbxetr7u/atWu2Y/DmgnhELfGIWldccYUlsaembRW/U6dOzdKMCmXZHGXJUn5GvYp/vf/999/3psuA3btz507r9ddft8QbbES0eIN90jdjTn3if2YjJEACJEACJGBPAj169MCUKVOgS+QLFiwwG6JEBOL48eP5BiQqKsos12vspsaT6lK0bkoSYZxhk26Y0jq1O3PR3fO6sctX9ms87osvvog1a9aYcAcRzaY7EZxZ+hUhauJQ1SZH0ThYEdfo2LFjlnvz483KlSvRpUsXaLyso2j4wWOPPWbGpKEb586d84lpFKc+wchGSIAESIAESMA+BD766CMTb5hZYGm8Yfv27Y1YUUGlAjGQRcWR5jHVGE/d2OQoKg4ff/xxk39TbXYU3cSjwvWFF17IYuaGDRtMfGpOG7ouNi5xH+Lmm282m8X27t2bcbvuZlfRrG075zjVWFRZKs+497fffjObjpRx3bp1L9al369r7OvcuXPhbjNb0aJFjY2Z7c+LQRSneaHHZ0mABEiABEjAhgTGjRtnksm7Sx2ku/XVw6aCJZBFTyrSLAGaV7R48eJZulbhql5Lzc+ZuWT2UjrqJSYWEjuL4cOH59p8CRnA5MmTzaavyMhIF1uOHTuWbQ7Yjz/+2CS3v/76641wHjRoUK7t8OWDykTtceZy+vRp/O9//zNpu3xVKE59RZLtkAAJkAAJkIBNCMgGI7OUf9ttt2UZsSaXnzRpkkmfFOiinlCJMcW6deuyZApQO1Q86fU777wzR7M0Qb/u2J8xY4a5P7fFYYsm/s+ctUDb0zyhOdkyePBgyOYtcyyoJrRv166dS+hBbu3Ky3O6dK9hB/oFQMMllPMnn3xiduprVgQN7/BVYSopX5FkOyRAAiRAAiRgEwLqLfv3v/9tYjM17lCX9FWIab2KmFq1amVLQpepH3jgAZPWSVM++bLoUrjmONWTqjRNk3oo9ahN/V3jPp29mJn7VlGtKaQ0XjYn+z21V49OVbGrhxOoGNXxqvDVpW9NzJ+TLY4+Nm3aZJLd68lWKljzu6gHWjIHmHyxOud6JGybNm1MGIcvC8WpL2myLRIgARIgARKwEQFJGWXiO1Wo6EaozDGd2WHwpzjVPjXeU23S8AINO9BYSBXRORUVfipKNcbTkXtVshC4hAHk1Ia7ayrmZEe7OQ1KT1WqX7++23AHDTmQXe+49dZbjZh1lPPnz5vYVOXqqw1a7uwMtjrfSt1gGx3tIQESIAESIAES8BsBFXKZj7H0W0deNKxCuaYcWaovT4rGeG7bts3EiDpiUNUDrAcFOMeoetJe5nskvZIRxxfb0DR79mxzDKyeCJVZnKq3Ves03tNOheLUTrPNsZIACZAACZBAPhNQ4adFEvP7fFnf26GpF1d3oWuWAUf8rHo7ddk6r8LUG1v0lCU9blXPp89cNL5TxbZu0rJT4bK+nWabYyUBEiABEiCBfCIwZMgQ6NGieiynLlfrkrvGgnbu3DlfjudUb2m3bt1MGIC7orlRJTG+u0t+qVu9erVJG6VeUo3jVYH8448/mh3y/fr180ufwdooxWmwzgztIgESIAESIAESsB0Bzb2qMaoaa6rhABoaYLdCcWq3Ged4SYAESIAESIAESCCICdhPjgfxZNA0EiABEiABEiABErA7AYpTu38COH4SIAESIAESIAESCCICFKdBNBk0hQRIgARIgARIgATsToDi1O6fAI6fBEiABEiABEiABIKIAMVpEE0GTSEBEiABEiABEiABuxOgOLX7J4DjJwESIAESIAESIIEgIvD/OSYq0ZL/Ba8AAAAASUVORK5CYII=" + } + }, + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "Note that the fiber bundle as a system of discrete springs can be applied both \n", + "in tension and in shear. The damage function explained below are applicable in \n", + "both situations. Moreover, they can be used also in two- and three dimensional\n", + "configurations as well.\n", + "\n", + "\n", + "Thus, we can express the tensile response of a yarn as\n", + "\\begin{align}\n", + "\\sigma &= \\psi E_\\mathrm{b} s = (1 - \\omega) E_\\mathrm{b} \\varepsilon\n", + "\\end{align}" + ] + }, { "cell_type": "markdown", "metadata": {}, "source": [ - "We can relate the level of stress directly to the amount of the broken filaments by expressing the fraction of broken filaments \n", + "This expression relates the level of stress directly to the fraction of the broken filaments represented by the dimensionless damage variable \n", "\\begin{align}\n", "\\omega \\in (0,1)\n", "\\end{align}\n", - "which is referred as damage. The fraction of unbroken filaments is introduced as a degree of integrity \n", + "The fraction of unbroken filaments is introduced as a degree of integrity \n", "\\begin{align}\n", "\\psi = 1 - \\omega.\n", "\\end{align}\n", @@ -161,15 +186,15 @@ "<a id=\"damage_general\"></a>\n", "\\begin{equation}\n", "\\label{EQ:bond_damage_model}\n", - "\\tau = \\left(1 - g(\\kappa)\\right)E_\\mathrm{b} \\; s\n", + "\\tau = \\left(1 - \\omega(\\kappa)\\right)E_\\mathrm{b} \\; s\n", "\\end{equation}\n", "\n", - "where $g$ is the nonlinear damage function and $\\kappa$ is the state variable\n", + "where $\\omega(\\kappa)$ is the nonlinear damage function and $\\kappa$ is the state variable\n", "that is equivalent to maximum slip $s$ (or strain $\\varepsilon$) attained during \n", "the loading history. The only difference with respect to the models\n", "used in Tour 2 is that the bond slip model introduces the \n", "initial bond stiffness $E_\\mathrm{b}$ and prescribes its reduction in terms of the \n", - "damage function $\\omega = g(\\kappa)$." + "damage function $\\omega(\\kappa)$." ] }, { @@ -204,45 +229,6 @@ "Note that effective stress $\\tilde{\\tau} \\geq \\tau$. While the apparent stress is related to the original material area, the effective stress is related to the undamaged material area. In other words, it can be interpreted as the stress acting on the remaining fraction of springs. The effective stress is related to the instantaneous, or still effective, cross section and not to the initial cross sectional area of the unit material zone." ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# **Characterization of damage models**" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "## Damage versus plasticity in view of algorithmic treatment\n", - "\n", - "Recall that for models based on plasticity, return mapping was necessary to return back to an admissible state. \n", - "In case of damage models, the relation between strain and stress can be introduced as an explicit function. \n", - "This means that <font color=\"blue\"> no return-mapping</font> is necessary. Given a strain increment, \n", - "the corresponding stress can be directly evaluated." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "## Damage versus multi-linear models in view of algorithmic treatment\n", - "\n", - "Recall that the multi-linear models of the bond behavior also allowed for an explicit evaluation without return-mapping. The question might arise: What is the added value of a damage model compared to multi-linear elastic models? They both can represent the non-linear response of a monotonically loaded pullout test. The reason is twofold\n", - "\n", - " 1. Damage model can distinguish unloading/reloading by remembering the measure of maximum strain $\\kappa$ attained during history as demonstrated in the example below.\n", - " 2. Damage model can introduce inelasticity in 2D and 3D material models. Multilinear laws are only limited to one-dimensional model. This aspect of damage models is shown in the example of an interface damage model below." - ] - }, { "cell_type": "code", "execution_count": 1, @@ -260,26 +246,6 @@ "sp.init_printing()" ] }, - { - "attachments": { - "image.png": { - "image/png": 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" - } - }, - "cell_type": "markdown", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "## Stress - slip relations\n", - "\n", - "\\begin{align}\n", - "\\tau &= \\psi E_\\mathrm{b} s = (1 - \\omega) E_\\mathrm{b} s\n", - "\\end{align}" - ] - }, { "cell_type": "markdown", "metadata": { @@ -1295,6 +1261,13 @@ "explore.interact()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# **Characterization of damage models**" + ] + }, { "cell_type": "markdown", "metadata": { @@ -1303,11 +1276,44 @@ } }, "source": [ - "# Summary\n", - " * Independent definition of **damage initiation** and **damage evolution** criteria\n", - " * Independent refinements of both is possible\n", + "## Main properties\n", + " * Independent definition of **elastic domain** using equivalent strain measure and **damage evolution** using damage function\n", + " * The definitions of equivalent strain defining the inelastic domain and damage function can be arbitrarily combined\n", " * **Isotropic damage** - affects all loading directions equally\n", - " * At any state in history, radial unloading returns back to origin with zero stress" + " * At any state in history, radial unloading returns back to origin with zero stress\n", + " * Suitable to model brittle fracture" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Damage versus plasticity in view of algorithmic treatment\n", + "\n", + "Recall that for models based on plasticity, return mapping was necessary to return back to an admissible state. \n", + "In case of damage models, the relation between strain and stress can be introduced as an explicit function. \n", + "This means that <font color=\"blue\"> no return-mapping</font> is necessary. Given a strain increment, \n", + "the corresponding stress can be directly evaluated." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Damage versus multi-linear models in view of algorithmic treatment\n", + "\n", + "Recall that the multi-linear models of the bond behavior also allowed for an explicit evaluation without return-mapping. The question might arise: What is the added value of a damage model compared to multi-linear elastic models? They both can represent the non-linear response of a monotonically loaded pullout test. The reason is twofold\n", + "\n", + " 1. Damage model can distinguish unloading/reloading by remembering the measure of maximum strain $\\kappa$ attained during history as demonstrated in the example below.\n", + " 2. Damage model can introduce inelasticity in 2D and 3D material models. Multilinear laws are only limited to one-dimensional model. This aspect of damage models is shown in the example of an interface damage model below." ] }, { -- GitLab