{ "cells": [ { "cell_type": "markdown", "id": "c6695164-9015-48d7-890b-24faab8485ea", "metadata": {}, "source": [ "# Spieltheorie" ] }, { "cell_type": "markdown", "id": "cc152ebb-b519-439e-b79f-7234b4ebc027", "metadata": {}, "source": [ "
\n", "Ziel des Notebooks:\n", "\n", "- Das Spiel Domineering \n", "- Gewinnstrategie\n", "- Formalisieren von Spielen\n", "- Games\n", "- Surreale Zahlen\n", " \n", "
" ] }, { "cell_type": "markdown", "id": "d267a4cb-72b4-4e19-8568-cc4179cb75ff", "metadata": {}, "source": [ "Wir entdecken nun gemeinsam die surrealen Zahlen, auf den Spuren von Conway. Er \"entdeckte\" rund um 1974 die surrealen Zahlen, als er das Spiel Go untersuchte. Wir beschäftigen uns im Folgenden nur mit dem Spiel \"Domineering\", da es leichter zu verstehen ist, es verhält sich aber parallel." ] }, { "cell_type": "markdown", "id": "cb8b19b5-a320-4a96-a8bb-9e0ab854c95f", "metadata": {}, "source": [ "
\n", " \n", "\n", "Das Spiel Domineering wird von zwei Spielern gespielt, die abwechselnd ziehen. Am Anfang steht ein Spielfeld beliebiger Größe und Form aus gleichgroßen, zusamengesetzen Quadraten. Die zwei Spieler L und R legen nun abwechselnd Steine auf jenes Spielfeld. Der Spieler, der als erster keinen Zug mehr tätigen kann, verliert. Die Spielsteine haben die Größe von zwei zusammengesetzen Quadraten, wobei die von R liegend und die von L stehend sind:\n", " \n", "
" ] }, { "attachments": { "3f0d682a-4991-4a89-b550-500a82fe15c7.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "1578b44e-5603-4ef5-abb7-3428c70e653b", "metadata": {}, "source": [ "
\n", " \n", "
" ] }, { "cell_type": "markdown", "id": "ac42c188-7136-477b-88ab-751b018e33d1", "metadata": {}, "source": [ "Nun gibt es die erste wichtige Erkenntnis: Die Spielverläufe werden mit steigender Größe des Spielfelds komplexer. Dennoch zerfallen alle komplexen Spiele, im Spielverlauf zu weniger komplexen Teilspielen. Betrachten wir ein Beispiel:" ] }, { "attachments": { "a3715ed7-0833-4ac2-bf53-a2445c57019a.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "6833a35e-2378-461c-9818-ac4e54a31fca", "metadata": {}, "source": [ "\n", "\n", "
\n", " \n", "
" ] }, { "cell_type": "markdown", "id": "df36cacf-5cdb-4497-a23d-67ed4f5f38fc", "metadata": {}, "source": [ "Der noch unbesetze Teil des Spielfeldes lässt sich aufteilen." ] }, { "attachments": { "db6a2efc-040c-46ec-8f07-4bdedba6cfc9.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "b8beb4a7-7d89-425f-a3c3-0c3c961d8297", "metadata": {}, "source": [ "\n", "\n", "
\n", " \n", "
" ] }, { "cell_type": "markdown", "id": "82e5ea7d-4e8d-42c5-8ed8-af99bb521f8b", "metadata": {}, "source": [ "Man kann jeden Spielzug als das Verkleinern und unter Umständen Zerteilen des Spielfelds betrachten." ] }, { "attachments": { "700ccd49-a167-4578-92b8-f57ff82185f0.png": { "image/png": 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lZW5zaG90PC9leGlmOlVzZXJDb21tZW50PgogICAgICA8L3JkZjpEZXNjcmlwdGlvbj4KICAgPC9yZGY6UkRGPgo8L3g6eG1wbWV0YT4KOa6qKQAAABxpRE9UAAAAAgAAAAAAAAGKAAAAKAAAAYoAAAGKAACAHF/OSzgAAEAASURBVHgB7J0HoBRFtoYPl5wliRjRNeccMGFA1gDKqmt2MeeVYH66ZsS0KoZFBQGVVdecs64Bs2tc45pQVBRUQJF04fVXWDjMnaG7753Q0/O3Xmamu7q76q/TXV+dPlXdaF6wmBYpIAWkgBSQAlJACkgBKSAFIinQSAAdSSclkgJSQApIASkgBaSAFJACTgEBtAxBCkgBKSAFpIAUkAJSQArEUEAAHUMsJZUCUkAKSAEpIAWkgBSQAgJo2YAUkAJSQApIASkgBaSAFIihgAA6hlhKKgWkgBSQAlJACkgBKSAFBNCyASkgBaSAFJACUkAKSAEpEEMBAXQMsZRUCkgBKSAFpIAUkAJSQAoIoGUDUkAKSAEpIAWkgBSQAlIghgIC6BhiKakUkAJSQApIASkgBaSAFBBAywakgBSQAlJACkgBKSAFpEAMBQTQMcRSUikgBaSAFJACUkAKSAEpIICWDUgBKSAFpIAUkAJSQApIgRgKCKBjiKWkUkAKSAEpIAWkgBSQAlJAAC0bkAJSQApIASkgBaSAFJACMRQQQMcQS0mlgBSQAlJACkgBKSAFpIAAWjYgBaSAFJACUkAKSAEpIAViKCCAjiGWkkoBKSAFpIAUkAJSQApIAQG0bEAKSAEpIAWkgBSQAlJACsRQQAAdQywllQJSQApIASkgBaSAFJACAmjZgBSQAlJACkgBKSAFpIAUiKGAADqGWEoqBaSAFJACUkAKSAEpIAUE0LIBKSAFpIAUkAJSQApIASkQQwEBdAyxlFQKSAEpIAWkgBSQAlJACgigZQNSQApIASkgBaSAFJACUiCGAgLoGGIpqRSQAlJACkgBKSAFpIAUEEDLBqSAFJACUkAKSAEpIAWkQAwFBNAxxFJSKSAFpIAUkAJSQApIASkggJYNSAEpIAWkgBSQAlJACkiBGAoIoGOIpaRSQApIASkgBaSAFJACUkAALRuQAlJACkgBKSAFpIAUkAIxFBBAxxBLSaWAFJACUkAKSAEpIAWkgABaNiAFpIAUkAJSQApIASkgBWIoIICOIZaSSgEpIAWkgBSQAlJACkgBAbRsQApIASkgBaSAFJACUkAKxFBAAB1DLCWVAlJACuRTYN68eW5To0aN8iXReikgBaSAFEiJAgLolFSkiiEFpEB5FACc58yZY7/88os1b97cWrRoYYLo8tSFzioFpIAUKJUCAuhSKa3zSAEpkEoF5s6da1999ZWdf/75dsghh9j6669vTZo0SWVZVSgpIAWkgBSYr4AAWpYgBaSAFGiAArW1tfbqq6/aBRdcYIMHD7bNNtvMmjZt2oAjlmZXPOezZ8+2xx9/3FZeeWVbccUV5TkvjfQ6ixSQAilQQACdgkpUEaRAJSngY4XJc9RQB/bhb9asWYbHt3HjxtasWbPI+xdTH8I37r77bhs9erSdeuqptummm1aEB5p8v/fee3bKKafYfvvtZ3vvvbfTtZhaFeLY3hawnaj2U4jz6hhSQApIgUwFBNCZaui7FJACRVcAcPv222+tc+fOLmY4CgQBzZMmTbJ77rnHxo8fb6uuuqrtueeebv+iZzjkBJTnyiuvtEcffdT+9re/2cYbb1wRAD116lS7+uqr7emnn7aBAwfaH//4x8QDKfBMrPmPP/5oSyyxREV4+kPMR5ulgBSoUAUE0EWuOG74NLAsNTU1FeHhKbIkCw7Po28WvIlaCqMAoMmCrSVt4Vogfy+++KID4YMOOsiBcFj9s8+ECRPsH//4h73wwgvuemrdurVdc801tvzyyy9UVu+d5JoDzIlFjgLoDdGKMIhBgwbZBx98YOedd55tsMEGRQNoyvXdd9/ZRx99ZGussYbrhNS3fO+++66dc845rk7+7//+z9Zdd92ia5VL5xkzZtjXX3/t8tGtWzfXKcoXQ47WDz/8sL322mtO8/bt25clz7nKoXVSQApUlwIC6CLXNw3eG2+8YePGjbM///nPzmtSTrgBMFjq2+gWQi4POf/9738dDPTs2VMQ3UBhgcyZM2fap59+6gBzueWWs7Zt2yZGV/JH+MX7779vw4YNcx7EoUOHurjbfLCEJOz3008/2bXXXmsPPvigKyPXT6dOnWzUqFHWpUuXhQAawPrwww/tpZdects23HBDlzYweGsc7FdooMaWp0+fbnvssYeLJx4yZEhRBxHiNT7rrLOMa+ewww6z3XbbrV6wTuf1zjvvdLouu+yy7pjYTKkX9KNeb7jhBle3QPy+++5rq6yyirPdzPsUtkD5TzrpJAOcTzvtNFtsscXKei8rtV46nxSQAslRQABdxLqgcZgyZYrh3aFRP/LII23XXXct62NHYKRdu3YLQUcRJch5aBpCHsECG0z5xWPvpMSz5sxwBawETnkUj5eWR9zY2f777+8AIwnZB2yfeeYZu+qqq1z4xlJLLWUjRoxwILSoDiXlGjNmjN12220OpCkL3ucjjjjCQSt2k7kQ5nHhhRc6gOb6W3PNNZ2nEq/3Ouus434vCtgzjxXlOyCKN/jYY4911zU2vfbaa9cLaqOc7z//+Y+dccYZ9v333zvQRIe40+ahy7Rp0+zSSy91AwjXW28954mmU1LqBf14EoH3nvsCTyO23HJLF5fdsWPHhe5TdBAJ4SFcpm/fvnbMMcdYq1atBNClrjSdTwpIAaeAALqIhsANn7jIv//9764huOiii9xj0kI24FGzD4jgBQdEtt9+e9tpp52sZcuWZWl8aDQ//vhjwwO53Xbb2T777FM04IiqT6Wn+/nnnw37AqKBVbyK/MarmOnFK3U5gTXq+9lnn3XwTCgG+QGSmPaN2Sry5Y/r5/nnn3egN3nyZHccYHurrbayE088sY73mbIRWw1gMjiOZYUVVrDjjjvO2dof/vAHO/30051nflHQ7naM+A95vO+++xzUEZNLSMRKK63krneAkCdQQCF/+coZ8VQu2d0BQF5x+eWuk3TggQc6LzQAHWehPgBWOq7ffPONuxcMGDDA2rRpE+cwBUmLRgDxvffea7/++qsbKNqjRw/ndACgMzXj6Qp1+7///c/BM/eNSpjtpCBC6SBSQAokTgEBdJGqBHDghk+DiveZR8nc/LMfORfp9HUO+8MPP7hH50899ZSDK2YLYCBWWPxpnQMVYIUPa8ED1rt3bzvggAME0A3UlTACvM/333+/C5UgNphp1ZZZZpmFIKSBp4m1O9cAdf3WW2852+M6AN7wGu++++52/PHH5613f/3QyXrnnXfccYBerh/geYsttsi5L57Vm2++2V5//XU3NRvXHR7hywPofO655xYMlosLnfkKzhMmdMa7vvrqq7trnM4L5XzzzTft5ZdfNsAd6G+ItxQ96BgR/nL77bc7b+1f//pXN3NGHIjkONgKejzyyCPuOMRv77zzzs6Tna+cxVpPftCQDhadni+//NL22msvA6J9p4M0gPY9AWRfHTzBQFs6QnS+C9URKlb5dFwpIAXSq4AAugh16xu7f/7zny5Ok1P4R86L8rgVISsLDokH7/rrr7cHHnjAAQweJ0bdZz8CX7BDEb8AAnjDacRpKGnAS+WVp25YMj1bRSxqyQ4NqAKo1113nRuQBRABqcRBl2sBdD777DMXqkPsM/XOwtv6Dj74YPvLX/6Ss96pI8rD0xJsFuBjHbbKOAI6XPnCDUhHejzDeFSxK9Y98cQTzt6Y75hOLTG0LGzjz3/PtAu+Z/52ibL+wRvKwEHKx/R1dEwXX3xxo8NKrC6eXuqAuGVm58jssPrzZh0y5zkBSLzreO1feeUVB7tAZK9evWJBJLrSuSCfdDY6dOjgNF566aUXylt2nor9m/LxhyZolAnGrCf2+eKLL3b1iKcf7zkvrAmrn2LnW8eXAlKgehUQQBeh7gEH3kxGIwVA8BiZBrScLyrg8eitt97qgJ5GCgjhjzCOUi/AzUMPPeRmUQA6aAzjeNHqk1/KDMD5RpoGGrjKBJr6HDcp+1A+4AhvHuUE2vB4ZoJIqfNKeACwigeaZbXVVnPeZACaDhwD4LL19+VgH4CJ64c6Y5+ewWBTplsD+jL3Yx+uOQ9TmWVmHduBajzZTJ1HWAt1j15AKUCKtxjvJwue5K5du9q2225rxGpnHs8l+O0fjkuICQBNTD+hUX6AG+dj7AODGTkXXlXGQHg7Z1+uA2agYFYNrk/KiIcduGefzIU6pRPAUxvAlycLPNHCu+7LnZk+3/eJEye6Dg1lZr8ddtjB5blc4Vz58pm5nnoizpwOAyFAhMhwb8Wzj07YQhwNMo+t71JACkiB+ioggK6vcnn2o2GkUSSuj9Hl3PyPPvpoBwsMfirXwsAyBm3x+JeF+MlyATSwMHbsWMNDz1vbzgo6Fx4sCq0P4IE38JNPPrG3337b8MSz4J3EG4lXkJH8mUBW6DyU8njYH0s5gQLg9R026hmY3Hzzzd21AFDiSeblHTwBydQdCMbTSDgEnmfqjesHgGUAIHBKaIrfh7JybOaFBri57vBOdu/e3UEyQOrhl7Qcn9/kj44GU+Lddddd9sUXXziY5Vws2CJ/hGIwIBGPsj+OS/DbP9gW4SLMEMKx6RDwNIXwEI7FwEXmWWZg4zbbbOPyz3EZj8AYAEJKKCsDe1mAQeAQbTinr0PyTow7HU1CQvhNDPkJJ5zggNt3CklPPv1+v2XTffjyA+FXXHGFuw4YTMy5tt566wZffxyffKAD31nIC3WVSzuXIMI/HIuOBuFJvKyGOqaTweBQOlKEofUMOla5prNjX+qBDgcdHGyL/NC5pCPlO5i59CJrlMX/kQfqB5tqaJkiFFtJpIAUqAAFBNAFriRu2IAaDRM3bLwkeNJo2BvSkDQ0m3jaGFRGo05DgAdwl112cQ1CQ48dd39gntkYmM+VEI6zzz67wQ14vjzguWKKLKYSpD4yYYNBSsDDIYcc4kICilU/NOT5Gul8+a7k9VwDwCHxuszvizeXWSroUALQQOShhx7q3n7nYZh6AWQfe+wxN6AMeGYdugFKxD0DSuzLgqbYEQP4eJpBB4n0wDngyywkDJSl05qtPcA6OnhrIPvxnf1yLXSsgFaekmSHOvnzE//Mq7CxHUJSmFqO64vtdCKYNYPwjk022cRBH+fCFtEG7zpgRv4oF/NHA3d4qjM93+jJcehAUGYgbnAAz70D7zH6EUZCxxCIZPo38ppty5wXkMRbDrTzm9k3KF/muXLpsKh1lJNjAbZ4h+kY0DkhXwA6YRb1HffBsSk7nQZ0ZuYRzoVe/FFG9Dr55JOdbaC7X/y+eNrpNGBbdGRIQ/gPHbI9g3CgLgFIZ2rFfvzROaJjxv2DesJzT6eb8nDPwmOfuZ8/rz6lgBSoHgUE0AWua27SDHwixpeGjMbwT3/6k/ue3ZAX+NSLPByxmDzypVGgQeMRqH9jGg0Gi2+YFnmgAmzEm3buuec6mKcx4rsHowIcfsEhKBedF0AJT6WHNbxKNMQ0gDSETIfVp0+fooSz+HNx7lLpu0CAMnxBVwCKAW6AHRozTRlAe8kllyyAN+/dBbIAIwY/MpCMTg5QyXFYAB48u0cddZQDMn8NsR2wAQgBVECLhe2cE+8i4Ql+v0zY4QUi7Mf+1E++BWDi6RFTpmUPOuT8XOsAM50EQJ1OKWn9uUjjPZiUgz/mbya0g/AWtrOue+AxJ594VbkOsj2jXC9Mj/fvf//blZPtxLoDdf/6179c7DvlB6wpM3oD/5kL+WD8A+BO/ZBH4skpX33DN8g/dcW9jlk0iMEHPDmXrweeMOEppxPk6y4zX/m+e4ilI8bTPPTKVVcck44LHTJfR+yLHnfccYfdeOONzqbYl/yyUHbuzcw5DZijJ8dhP+4T2AdPJnCE0AniWOxLGjSmw0FnhvqKU6Z8ZdV6KSAFKlMBAXQB640bLRDAtHVAAfGJNJbEK3p4K+DpIh+KfD355JMOVGnwVgpCF04LAJrHxJ9//rnzztB4EPtJnDaNRDEbBhpwYAPvDo/2/XRmkQsUMSFlIkYVDyHfKS8eK2JdqScPEniV8ILTsVjUQiPKcVhohBelEQ02jT4ef2wBYAQmAAkPWJnnIj31hOeVx838BqbwluFZ5Puizpd5rHJ+B4AJa7jlllscTK0QPIG5MOhQ8sgcgCN8ABsEHJdcckkHL3hP8Y5mgjNloLyAKXG/XEuZnSz0AVzprPJWOmAXXfHQEiLBvtQngLvjjjsugCuOy9SSPI0hr74+Wc/CfhyHuuY64AUpHCM7/IrteDY5P4BLveLNpUOYq544D17ayy67bMELYdCAuHC881x7nC/bNtiPQX9cI34KQMJBsGO8q0A85SUd9xjW0yHdaKONnMaUydsinlo89fwGsIFAP5MF+2N/2B7f2U5+8i2Un3PzMhbmZqb+gGf2zVywXeCf2VAy74HkmXrnnDydy6xb9uf4jCPh/olXm3RowzH48/Xkn07g4UdPFvKBlx8diC+nvNkLx8JmsFPshDR4qXkqxpMSXx7ykblwXvKKbujHMXLVd+Y++i4FpEA6FRBAF6heaThovImZ5DE0Hg5mGuCtWnwv500WrwrePwCGfAKMDGriN1Pt0ciQv+WD+FKmFuPRrm+MCiSPOy+NEeenkeYlHwAMAM1AMzSiUcsGiIaen4YRLxLl8x0DfuONJ5yAPHUPPIAACuE2i6onAA9YA/wA4kwgyMwnZQQQaPx59I7+NLTMW7vffvstBHOkJY/ACEBGnjxAUwe82hjvOPCdDRnsy59fCq2dP27UT7QE9vDqAT94BPE+EutMWfCYEtpExwkgIu/o7cvg8+/LxT6AFwAGGGbWDfvjzcWugUK8iYQk0WFiqkY0pX6wdbzNmR5Q5soGfNHZAxLH5vzss9Zaa7mYan6Td64JQDBz4fiUk6ngqGsgkKcdxNVn5tPvQ3o83nTUeBpEGfF8YocMVsxlS6QBBkcH4Sa8TIbzYAOExHiPrM835eCP3wA/1xfHZ+E6GzlypINdIJ5zAe7kBTvmPOiJrQKULIyPQDtfJ27lb/+QnmuI0Cg8tcAm63It5AEvNx0R6pN05BM7x3tOfs4880xn55m6odfnQeceSAVsWagDtKIjzJMLfhOGReeD64uFchCWw3gP7m8cP3PxeqEB+9Gh4b6A95ywMuqG+ziLT+vz5TVmGzZCh2lR9wHSaZECUiC9CgigC1S33Fzx8nrPFl5nwJCGyt+AC3SqWIehweIRNyADKNNw0MjTsAA5NFS+8QNiAQbS8li3kAsNGw2hn/HAx2GSFxojHov2DGJcgdNcjXZD8uLLRz3wHRA+/PDDXaPJcQFngIrGMNfCPuiEdwqY2XvvvV1IAnrlWijrq6++6mYNAC482BAyA8zh3fN58WmBEcASSPL55dhABwOlaOizIZI84bEGZoAJoKJctkaeKSuP2wEXyoU3ltct4+GjTinbv4MwBMoKHJHGL9glkIunlycD/KEvHY7+/fsvgEHSoyfbmZWB2TOASgbvAVesZ3pEwgqAT47BQEbq1tsVds/gPp4O0Lkh7wAYU7nRyQHIgTv0xdvLsTOnzeP8QCmhA4AsmncPOmEAWL6nGNgc9oM+5JHFD6DNPLbb8Ns/nIdrFpvhuvF2xGby7DUjbAR7o0NBGjrHhIRQJn4zwJJOCOFblAm9mM2EjhnwiAedpzRANp0KNOvXr5/zjGN/mQvnRVfqEI08PKMtnT3skXsL6ViAXZwKa6yxxgIbAJ4JJcGjzoJudNp9/bCOfNPhwotM2di25557OqeECzkJftcEurPe/7EPg6SZbYinPtgb6/xCOuyLpyFci1zHXYL8vRTYAU8NvbeavFOnXFOUiQGb2A9PLuigsZ17BvYHhFMPWqSAFKg+BQTQBahzbtLfBx7EM4IbKvFz3GAZmMYN2ntGCnCa2IcgH/zRQNGwAFo0IjQMNHw0pn4hHY0lDR2Nm48L9Nv9J40S3lK8aTS8eN5oXIC3fA0J5yFsAkgFEoEJ/mik2IcGnXMziIrYWUCGfBZjIS8AEnHPeKo4Py/lwFsMwOVaAD08U0AI5cdriE7ZcOH3BSAADGYZ4TtlQU9iefEOem05FjNBUD+EIwAmHBM9sBt0Zl86FxwvE5ApB5CAB5ZYYwZDAk3ey+7zUqpP8kNHDa8cgEoZyQ9lBsioa64TyoyWdDbRn9/UAXbEwC4e69NZQDc82LkGu7INSEIT6sbPv4w3km14a4FmbIxjEy9MJ83bFDpPDMD0+SC+licwaE5HjvNjA4AhYSikwzYYwAgI+oWyYsdAKHXEOXgh0ODBg129kSfWZdoHXk2ectBxJF/khbIxPsLH7vrj+0+OQ6gRnm7A1i9oyf50zrnHYB+kIdSB6xiw5/4DaHLNEzbDYEufL2b6AGrRC7ujvMQaUxbKhu0R7kE8NeXwC/YGzJIOfak/0rOQjnzxmzyQP+wVTzbeZ+wBPal77J37JPlBVzoz3EPY3y9sA1a5ZwDlpGPcBnXNsTPT+n04N2VFM/Si7OQFaEYjBlgSCoRugDH1QycKO+KewDk5LvaKvTAIlScb6ERHCWDGXjgm8c/YOlMiZmrk86JPKSAF0q+AALoAdQwE4MEhVpOGksaAGzmPWst5cwVY8KrQsNO4ZnpjKDZ5o5GjQccTR4PCY1ugLHtgEfvSANKo8ZiXWT0oN/vjpev/m5cwV8MG1DDVFw015/ILafnzDSK6Fdurw/nJh39BB7AKTGcOFEMXnycaSzobTKOFBxHIAqQ9BPuyZH6i5VnB1HxACZqhK3ME4/X2nQOOCywCPjTiaMk5CVkAcABrQBSYwSvKX+ZTATQF8kaNGuX2xYtJmQAFjlPqhXICqrz8BI0JB8JzmissBlsiDX9AD/mlbNQFIRF4HYEZPPXYA2E+bPMLnlb05YkG9QCYAlYswBYA/u/A002ecnmgSYf+nJs8UN8e8vkNHALh7E9sLTAJcPmF9cwMQR6ASOrXT1UJWONhBagz533H60xYBdcj5QfUuc4AsVz1Rf6wCSCNa458+YXzAW54xunI0RkBSoFGrie8/sAf6bBBnopxXhZgklebExdOxwu7ZrAcZeKcLHQagFWg1V/PbGMaOeyNMpOf7PuJv5YpD+fmHIcEg/s6B7aJ1njRhw8f7jof7Eudci7CejK98L7srEdn0vo8ZaZzmc36h47RF8HTDeqQfTkvDgM6vWjtn/5QXq47nlZwL8uEZ56c8OIrniJiF5wfe+CP+zvl5M2S1A1PhXLVX1a29FMKSIEUKiCALkCl4pEBnmm0aYx57IwXKBtCC3CqWIegASbek8eTwFrmwk0fmMMrQ4OPN5kGjUYPj1umV4wGhAYYrx+PMWmoWcdCYwLk0bjkC78AQBkohfeJBg0vKQ0w5+P87A+I81Y1GkoaX99wZ+a5EN95bAy0EstMo0keyBt1RT4pFwOw8FJRl6TB6wZQkHc8yNQv2/IteL7wqgEcvpx4iAECGnAW6gYgB6KAYY7HOYEW4oipD2CY2Sv4y26oGSRF7CiNP3kGEgB7OkCUqZQL58e++gedKLyUlIUZHtCKus21eFjjM7OusVfABN0oE08GsAlfJs7FzArEuJKGR/+UGyAFnonJvemmm9w2rymxyYBX5nnIk88D3/22GcExb/ntDaLUEXoCpFwrfuG8zOzCkxpshrzhKeWFSdgWgI+NMBuGzzfQ6QGa43QPQj5Iyz7+3P74fGJ3XC94udnX55Xrlo45eaLs2MlZAchjM+wDIHO940FlP8KxiO9lGwuhCwA0HleuZyAau/bHJw3XAx02rlO/sJ3Ycuyaa4h9MhfKQGcGnehscA0B8dxHqBdm6WCmFe4jfl9sGk85b8zM7BySV65P6p5QGfJBpwqwzcxT5vn9d+yD+qGTjGcZ4MUO6GChJVBMneGlpsPp80P+yQNx9Mzoge2hNccj9IVO1OcBmPObMtEZDrsP+DzpUwpIgXQqIIBuYL3SsPA4kkYMj6Fv3AhH8I1nA09R791pQIm5xKtHo+IXGhTyiZeFxh7ooNGiAWTAFLGReF4oG394+gAWPGHAHgtghDeWBo7y0+iyHw1P9kIjBjwCor4hJw3nw8OI1xWtOGdYA5l97Ci/KQONNh0dOgB40GnUaQyBdc5JY0k6Fl6DjVeaBhVvMrHsdI74TUcJqMoFPT4vgBcj+fGEes8+WuEF8yAG+AJBaMdC2dGUPAEgPGrGywVUo5PPH+WgA4O3F4jjXOQbGOH4wCbHKuVCHhg4C6hSXvTEs0eZ414D2COD27A56oa4Vx/2QpmwPzodwBha0ekC1EiPltgYNslCrCswRH1mdgjdxjz/ANC3BvYBfFEuvJbomhliQB7wxPoQHcqIx5OyA3qENxG6wPXly0+euEbwUFOHXCd46AkRoJxcF1wnQDO2Sb1zvRGXTIeMBZsjH0yNSVwuC0++0J00HGfTYLDpKQHs0SGlAwckAtks1AtPWrAX7Jn7A57YzIVzYJeApM+7307+CAXjaRL7YZN42bsHnQHCHOgMEK9PJ5B7DF534q8pB/VCHj08c0y86FxbdKLJu18oPx517lvUMZ0BQk7ofHLOsIVzAL3cW+go8JtrF6gnZpn6IV8enjkm2hD3Tfw44UTkH52AbTpslJvyow+OAmww8wlDWJ60XQpIgfQpIIBuYJ3SkODtwDNDI4iHB88JgBrlZt/A0+fdnZs/cceMYqfB8A0XDQANEd4xAA0vGI9WSU/jjCeNx+40IDReQCcNNCEFQDhlovFndhG8qjSmNMYMnqLceHo4R+ZCw0lIC16ozAabRh4QzPWYP3P/hn7nnHhs6UzgPaNRpLzkk/Lw6b8Dn3gK8S7RqGYOwCS/o4NBhHix2B99vK7oxR/HYR3nw5MPvHAOYME/RiYNj9aBLWCB/QBfPGykA6CpIxp90vpzYV+fB14w4A4PnQdF9AG+8TYClOS7lAtAmRlnCzhjM+hF/uMsQB1wgiea8tIx4Dcgi07YEr8ZqIj+lBs4Bl7JB+s4pwciINZ3QLLzQVr/xz4cH2j28dV8B+7OCjrH3QNI9GVBd8rLEwTyyJMC6gT45Xpi8BvQzzXGMVmALzRhphXyyYJOgCqgz7WKh9fHwnNtYouU01936El5vGcXW8DG6Dyw4IUnrKNnMBiXJwF45rFD8kje8cIDh3idOSZ2hW3y53XgOHifgUkPwsAtME16PLc8jfEADdzSWQCcsVfqj6cRAOqDQQdvcnD/oOxcE14/jsN3gJYOKfXnt5EP9iUsB02oR0LQeDIWp2PI+QjR4Bqjw+nLSn2gB+dhoezeVqgvNPZ15q9jQNw/dUMLOmXEnuPt1yIFpED1KiCAbkDdc1OmcaBBId6OGy/wRSPHd98oNOAU9d6VBgLI4rElIEBeWWgI8RTzCBJvGGEANA4sNMw0wAAyeaehp3NAeAbQwDFopIFnGlgad8ABIKXxZAAgg6JolDIXzs8gJjyymZ5wBm4BIvlmLsg8RkO+Awx4uvx8sl4LGkuAggYcYAUC8AjyCbihAfPcAt6AMLrgiceLDKAALhyT8uExZF9gjQVNAQvScT7OBUDT6eC4eA7prOClo07wtPI4m0YZ/UjDH3oBJAxiYsYJOiEcEwjw5eB87OefAkT1trJfIRbsBBshJhvowMuJLfgOQJxzsD8dPuCPzgsLNuxj1NmOV5bzoQ0a+QU9+M158dASl4y3MDNNZlrqCE8lXm9AHGhFO+KC/VMZIBeAotPkF/QH4oFJzslsGtgXxwGgqS+eYODN9NcCNgIgY+/sz8I9gronf1yvvk5Zj9ec/NDBxFMKZANtzDRCXZMWDUYHHTr0B+yI1wYY2U5YFp5kOhbeTrBpfnMu1pE3PMfknw4y+WYBVMkX27F1wtE4L7/x8tNRxh45DnkFQLF79uFewHrqCcjmPP78OBXQHC3YDyhGW+99Jh3b8O5TLsrIkzzSxI3t98fiHoWGnJd8ZS6UB10JN+K+hQ2wzi901gjTwRYoD/mkI4dtsl9mWr+PPqWAFKgeBQTQDahrbtJ4gQAXGjluwAApDV+5b640RDx2BP5oiFjIE+ESeCppGGmoePRMQwE48GiYxoSGgrKNDzxAJwZp8QTRgNBQ0ojjNWPOWBpwH4NLA4o3DAjPLjsNF8foH8TI0uHwDRkvI6DzAbwWc8GLzlvJAB4e6XJ+73WiEQe4qDvKADzQuPsy0HiiIWCARsAEZaDzgTcbjxsLIEIsJx0Ljof+eP95dA1IoClxlIAgx6dzAxiQN85FJwIAolPBb0CH8+ChxiuJVxPAAZZ8Y8452Z/ykDe85uTPQ3wxNc08NvZFnC06oQd5oG7jeAz98bA7yoe+hNtQXjps2Cu6sQC9ABZeanRmHyCU8wFcACF/aArUsfjjoiueYjojfH4ZhF39EOiKd5brgkF5QGgmHFOPdLT8guYeoFnHTCPcA6grQg3Qgk40tuDtiDqis0S+6QT5sAp/TD4pH/kFVqlLnkZgr9Q7wLZ8MDATu2UBYPHSYkccm04f1xIdOeqDsAPCN9DSL2jkteJcDFY98MAD3XkAe46VnR5NCVliICI2Rl4Ir8CT7r3YvoPij885/EL5yTPx2nQeyRPH8PcSZmrx9cp+aITe1A/nxpZwSnBufx5/7LBPfzymNORpwXvvvbfgCRjXCHmiowIU0zn2deWPS/kIReJFMWhMB4BOGYOmfT34tPqUAlKg+hQQQDegzrlBE/tJowlgATQ0RDz2jXuzb0A2cu4KFOMpAUK4+dNI4QXlMTJxgOQP4CV8gwaXvOOxwnPHNqAPrzEDkmhIaFx4XMsAJGIaia8EAmhwSQ800oAz+0B2Q0QGASFiWwETjsdCw4gnvNjARx4BJ7zr77zzjssznnRiUOlQkH/+ci005MRvA01oSKPO8XynhP2wA8qMBv2DTgKQDAhhC8Qp+/JyfrySHAePPnrQuHto4Rg0zByTOmM9f3znHCyk4djYGHHSPCGgrljXM3h0zzmArVIu5I18As98xwMK8OSyg6j54njAMZ/YR+axWEfngs4J9YN3EU8z4UPdg1ALPK10WHydkifqgNkm6DTi4cZ2OT5pSEsYEfWMpxkYBoI5Jx0BPOBcH37h2sKrSeeKNEAeYQ8ci3EQnAfo5Fg+D35fNOKpBvXmy0f+sAkgjqdDeEP5zjq2+cUfi/rmugWgsUvqnnr3sd5ca1znPk7c788n+SU9Hl1AFRviuNzHrrnmGgew3t5Iiz1yXMZGkB/sns4w9xYfCkJ9ZOeTfUlPx5RON+XivJSb8hMewr2EDg9pWTgvdUn4Cx0EgPWsIHyGpwC+7C5hjH/IF3nmuAA09cN56ChR59gK+cy1UC6eMAHR7EeIBw4CNPF5zrWf1kkBKVAdCgigG1DP3JyBJBoEGmgaTBohbvzlXgAMgJg4QBoM4JmGDM8WQEIjTNgADRULAIL3nDAEGivKgxcL4KChBzIYNEOjggfQQ6EvJ40jIQvEB/I9u8HjfMAzjRHnpNHCI+sbVn+cYnxSTwAr+ePc5A2PIp60XJCTmQcaXjoGeNzRMXNBRx+/jTeTMgIMPIFARzxXfgYENKE+gBEaX3Rk5gQ6XzTO/A5byDcgR6w0TwooF15TD/fE36MpdVmOhfz4Jbv+/fq4nxwz17FYT32gG989sJE2Oz31gscU7yfefL8PecHzDOzi5aZTAlhznVDvdJaYAQWvI/XqF/YHHgklwQa4phhARx58vvjOX/bCdq6dz4MnV/yRH8oB0GJL3YMOQK7rJ/M47E8oEVMGAoc9g44TMIpNU3YAmtADnrpk2yxPe7BP8syYB87FwjVO55J5qnnaQT5JC2jSicgsP8fkeqJzSKgIQI3nmGNwPO417EtHnSc86IqWLOSda5DtvqPjNgT/eG14KkYnHU+vn0Pap6nvp68Xrwf3n1y2kn186poOk7+2vV7Z6fRbCkiB6lNAAF3POueGzE2VR7V4NvjNDR9IwnsUZfHHoMGjQabR5rGqj/fLBoEox/RpaMwYDDU6eGTMeRiwQ1ymfxRO3oEw34DTmNFY4RGiwaARxStFo0qjQ15odDgWv/mkMcHrivedhY4DbzLkuIAe0O0X9gFOiANlhgrKSMyvL6tPV4xP8srj9f6Bd5iQExYacDoMlDfTo0RaoIQ/NAKCeHkCHSW8UTSorKOegAPgi7IRN+s7K5QbXTI99JSTkA3SoyXnod7xoOLpx6MIXHi484075+J4PL7Hw8pj5+4BZJF/joGegBRAw+NwniDg/dUyXwHqhs7PhUEIwvggZp3faAvQUfeEI60deDg7Bk8kWM91iAeUuqEO8S4D13z3C7pTT8Qycw1wvVNH7B9l8ftzDPLDb64t/xd2HK5txh7QcWcf4q/psHlI5bi+c0aYEecgf0AwT316B9dop+D6ZF9/LvKAzWODXP/8xo64NihjdmeAY6IR9yy86jzh4bwck/3oWHAP4JyZ2nBcXwec25/f68Y2YJzrlfsJunPMci7k2S/Z+fXr9SkFpED1KSCArmedc1MFHA8++GA3mIwbKzGwQAwemOyF9PzRyNBQ0eDQSDAoB28LEM627gEc4fHEO9SQhoOGiPwxoh24Ar5o0HyjRR54DM0jVUCPBpLGigaTfdlOQ813/nz+2Z8Gkcf0xJnyiSeKxpSFxpOwCObyBfKyF9LRQFM2GlmOVeyFvAPDdCDQm++cl9kuCLcASqkzQAEteMQPgJAWDzl/wBLeNjoWdEKYNQPvJXpRb9QfXj/viWYdC7oCNniNBwfe4q7Bo2u/eHugnoj5ZRAax+fpAXWBPmiId5PYVmAEfX0dsj91RJ6pIw9y2bDjz1dtn+iDvTHojbpDK7QhNprOIvCMZh48gUc6d8wMwXdsgvAN3shHPSdlwbZ4CkQMOB0rbIsyYBd+4RojxAXQJj02zgwtpOeazUzr96nvJzrnWhpyDo7ZkP1z5UfrpIAUkAKFVEAAXU81PbzgoWKgDzd7BoCdFcTs+cf6/tCkpUHDW8PjTiCLR/sAE4/fgVUAiIXHsMRiMqAMoGvo4o+bDVWsxztFHDAeulyNIJBJ/CH5psEmn3iqeTSLt50GmW28XYxp2YAOwJhBOXjF8LomZaG8vLGNWRLoULBQZ+TXwzywymBQ33EAPAiHINQDaEYj/vx+mWVDG7yXxMXiTUZb0hKPjHewf+D9JgQmX4eB/JHe15eHBz75y66/zHPre24FqBOeoPBUiA4QOtIxwcNMnDEdFK8zRyC0gI4fMczUPR0kP2YgX73lPnPx13pbWZRtYEu+c0zHCzvPLG/xc6kzSAEpIAXSq4AAugF1SwPFY3niBoFHvFRAEo+GFw8eP84LthMyADT7GRTwLtKoAWk08DSE/LEAzHgbacQ5Dg1esRbOyfnxsvJCCD9fLOcDkvEiM2p+xSBUYVZQNg8V5I9HqwzC895XykZnAGikXMA1scXes1esMsQ5LuVFe+IriQ0FooEkv3hA9fXhwYTOADMQeO+9T5/9yX4cj7rFi4wXG/voHjxRwOOJXgKYbNWK+5trkjh0wms8SDJbBdMH0lH1dU4uqD9e3IH3mRAC6oqODwCNxzYzbXFzXdijUy4WgXNhddXRpIAUkAIC6AbYAI0T8MxMFXiv+E3DCwh7jxVQRciAhzXfoHFaGjXSA5pAFo/pCQNh4A7HKEWjB/ASToKHDtgnn0AfwIe3jnyQZ9YDhJQLmMjMG9uBcd8hwNuVROAg/4RLMPMF8eEM3gOyyL+vF8pFfVB+phEjRId6QYeoC+fx9U39JlGLqGWp5HQ89WHgIGFKhHJQF0wRR4hUZpgV9UWHiqnpmJ+busM7PWDAADeIkP20SAEpIAWkgBTIVEAAnalGPb7TMANjN910k4OzTBjLPFwmcLKe3wAq4RAMLGOQH15nGu5yAFdmvstx/kytiv0d0OclKMQ54ykGnvBOowH6A8x4KvG2e89xsfOk4xdeATzJzE3tX3kOCDPzDPOdZ84qgT3whIVp4fxb/Zg5Ak81oTvZ127hc6ojSgEpIAWkQKUpIIBuYI3hvQK+mKLNv/Eq0+NM40vDzR9gymf3wMPLoD6mHaOBBtrwerI97fDaQLkLsjugTL0BTnjgvXedg6M/oSl42qkr6k8AVRDZS34QnqoQksG1ST1Tp8w7zjR1XHMs2AGdYNL5F7dQ34xtYJYYOrlapIAUkAJSQApkKyCAzlakHr9phGcFYRqTgwGBDFrCi0XjzUJDTfwsnkweG/MCAT89E6DmIa0ep9UuBVQAqBYoF1DQBByKWHTi13lNNZ1arjVmycELzXVJx4n4fWLieWsnoUwsDPxkHAIdXHVoE1CRyoIUkAJSIIEKCKALWCk+DMJ/+kNnejEzv/vt+pQCUqDwCjBNJC/u4SUqeKABaKZeZFYOZlxh6kBmTWE6OAYZct3SqWV+b+Z3Z1yCFikgBaSAFJACuRQQQOdSReukgBSoeAX8+ATmQsa7TOeVGTW2335755FmbmjAGe80T5EI8WDaQmbeYAApv7VIASkgBaSAFMilgAA6lypaJwWkQMUrQIw70zTicWa+dSCZkAw/owpeaR+6g3eaQby8bIcpHIFnhfRUvAmoAFJACkiBoikggC6atDqwFJAC5VQAOGaawlGjRrmZcpjWDojOXABqYJnZcBg0yBzuSZq/PDOv+i4FpIAUkALJUUAAnZy6UE6kgBQosAJANHN/M0MOczz/9NNPC+boxhPNgEFe/LPPPvu47/I8F7gCdDgpIAWkQEoVEECntGJVLCkgBeYrwGwbDCh888033Rs3mfebwYJMIenn/Obtm3ijFbYhq5ECUkAKSIEoCgigo6ikNFJAClS8AoRvEMbBoEFg2b+iW9Bc+qqdOzd4+yd/wROCtC+NahoF9qb55NNezypf9SkggK6+OleJpUDVKpAJbALn8pnBT5N/se+++smmTZlhM3+dnVqQrmlcY4sv2c66LdfRWrVpXj7BdWYpIAUKroAAOoakeLD8lFeZDXGMQyQ6qS8Tn8BFGgGDsvnyURlpLCPl8rNNMLuEFimQFAVq58y1r7/4wR4c+7r999XxNmP67OCNoMHATu+JbpSV00I5qMOO67dnn8+v99nK3u7X5/nE+7xYp9a20TZ/sK37rG7tO7d09xx/r813/wnbnud0eVf74/kE2ef12/Otz97Pp2c939kve1+/T67PzP3Znr2v3569Ptexoqzzx/Nps4/rt2evJ72/lyrEy6unT6+AANorEfIJPPPK7gcffNDee+89B9Ihu1TcZm4iPOKmnMSEtmjRouLKEJZhOkDEwAKW7du3r3PjDtu/ErbTCDA4br/99nOfguhKqLXqyOP0n2faHde9YE/e+Y79On3W/ELHhNKKUyqA8BatmtpiK/xirZeaFtBixZUgZ4ZpE7mXMsaAt+3mgs+cO1bYStrCPn36uPESmhu+wiqvyNkVQEcUmDlj77//fhs2bJh7q5nvsUbcvaKSUba03gypCF93aS0j5eKvV69eNnjwYPcK+YoyQGU2tQpMnjjNLhl8r33+wXeGN7pqlgCaZ9f8YBObPm/zLAhZCf5Lw5L2eyl15Ke5vOCCC1LdUUiDPZa6DALoiIrzVrN//OMfdtttt7keN49z+EvTgkeBP26K/nFVmspIuXwZqTc8s2kqH2XyZeRz5ZVXdh2+Tp06sUmLFCi7AhODuOcz+v/Tpv7AnNzpgMiootbWTLeJzZ6x2ka/BrtUftnxPHOf4Y/7qG8zoupRCekoIwv3UOaT79q1a6qdS5VQJ0nKowA6Ym0Q2nDNNdfY7bff7iBs+eWXdy9fSJMXc8KECfbOO+84DzvTfG2xxRZupoKIEiU+GeEbb7zxhk2cONHd9P/whz+krg55NfW4cePcC0R4s95VV13lwjgSXznKYFUoAED/34FjbdpPM9wsHFVR6N8K2bTVXFth65nWtGXlwzPQTCjjF1984dpDQsbWX3/91LyEiPLRXrzwwgtuHnlCVEaPHm1LLLGEALqaLtqQsgqgQwTym7MBGrg877zz3OMdn6bSP+kcDB8+3PC2t2vXzn1fZpllUuGl5YZIvN7AgQPtww8/dFW155572nHHHec80ZVedz7/PCEZMWKEi2MXQHtV9JkUBRYF0EHUEaPJkpLVBuWDKfqyl87d2toZ1+5hHRZvE9xTK7ucc+bMseuvv97uuOMOB5prrbWWDRkyxI0ryS53Jf6mfK+99poNHTrUJk2aZB06dBBAV2JFFjnPAuiIAmcD9JZbbukurjS9uezWW2+1q6++egFAjxw50pZddtlUALQf8AIwf/DBB67W99prLwfUaXr0OHbsWPfWPQaCCqAjXtxKVjIF8gF04yY1tl6PFWydTVewpk0yZo4pFGdm82z2cf32fOu9Qtnb/frfPmfPqrXH7vqPTfh8ss2t9Qedv7FzMJ3d2SP2sk5dg5f2BNPbVfLiAfqWW25xTyx5IdHf//53B5qVXC6fd7zPr776qnOSCaC9KvrMVkAAna1Int/5AJrXAadlSTNA44GeMmWK8zhnA3SaZqkQQKflakxnOfIBdNPmTWy7vmvbNn3WsWbB9xBOTaw4M4I5rUdf/oR9/O7XdQZJOoAeufd8gE6BB5qQhhtvvNEB9KqrrmqXXnqpixVObOXEyJgAOoZYVZxUAB2x8gXQEYVKaDIBdEIrRtmqKgUWDdDr2LYBRDdrHjglKpSgZwZT842+7An7qAoA+uabb3YD6wj5A6AvueQS69KlSyrsWQCdimoseiEE0BElFkBHFCqhyQTQCa0YZauqFBBAp8cDzRNL4qAB6FVWWcUuvvhiN0tFGgxaAJ2GWix+GQTQETUWQEcUKqHJBNAJrRhlq6oUEECnB6AZdH7ttde6l28xZeZFF11k3bp1S4U9C6BTUY1FL4QAOqLEAuiIQiU0mQA6oRWjbFWVAgLo9AD03Xff7Qad0zYyYBmAXmqppVJhzwLoVFRj0QshgI4osQA6olAJTSaATmjFKFtVpYAAOj0A7d/MO336dGNO/QsvvNCY9jQNiwA6DbVY/DJUFED/+OOP9s0337iLldkvSvkWOQF08Y2xmGcQQBdTXR07DQpwjfD33XffueLw9rVCv61TAJ0OgOYNfQ8//LCbeQOAXmGFFdy0rsstt1waLgU3t7WmsUtFVRa1EBUF0LwViKlzdtttN9t2222Nt+WV6k2AAuii2mHRDy6ALrrEOkGFK8A1gpOCF/EA0TvttJNtvPHG1qpVq4I5KwTQ6QHoxx57zIVtANC8mfeCCy5wnxV+GbjsywOdhlosfhkqCqC//vprd8Hy+tAjjzzSevbs6V4dWgqIFkAX3xiLeQYBdDHV1bHToADXyMyZM43YVmZY4LXwe++9t+2+++7Gq4wLsQig0wPQTz75pPM689Km7t27uzcREsqRhkUAnYZaLH4ZEg/Q3NT9H28/+vjjj90bj3iEtO+++9rWW2/tILrY4RwC6OIbYzHPIIAupro6dloU4DrBo/jKK684T/T333/vnvZxr11yySWNN682ZBFApwegn3nmGfemPgCa0I3zzz/fDSYshUOrITYYZV8BdBSVlCbRAM3N3EPzTz/9ZGuuuaa1aNHCvWLz8ssvd96Sww47zHr16uXWF7M6BdDFVLf4xxZAF19jnSF5CmD3/PEqe/+dTxZAB8cDcc7Z0MPcvi+99JINGzbMuPcSMsdTPzzRDXFWCKDTA9Djxo2zs88+2z2pWHbZZR1MM51dti0l76oIz5EAOlwjpQjuocHNdP7dNIFqYMSPP/64m2uSx4k77rijHX744e6GzytE//Wvf7lXh5500km24YYbNujGHlZ8AXSYQsnejpnrVd7JriPlrvAK4IDAi/zRRx/Zu+++a7zGfsKECda+fXtbeumlnfOBe2fLli0XAh+uF/Z95JFHbPjw4Q6i+/XrZwceeKAtvvji9c6oADo9AE0H629/+5sDaGbfOPfcc90bCQXQ9b48tGOFKZBYgMZjQrgGAxPef/9950HZbLPN7P/+7/+sc+fO9tVXX9npp59un376qfXp08eOPvpoa9u27UKNQCHrQgBdSDVLfywBdOk11xnLpwAhbgwIJE712WeftU8++cSFZgDFbANyCMcApPv37++cE23atKmTYR7Pjx071v3hed5ll13sgAMOcI4LPNdxFwF0egD6tddec+3x1KlT3fR155xzjq2++upFa4Pj2lpD0ssD3RD1qmffRAI08Ayw8niImTd4nMjNe/vtt7eTTz7Z2rVr58I3uLGPGjXKgfOQIUNs7bXXdt7pYlSfALoYqpbumALo0mmtM5VXAWx92rRpxlM6BgQCwSxAs/cOAtHcZ7mvMoPCKaeeausE90+/3ZeAY3377bduujLuxa1bt7ajjznGdgqeBjILUtxFAJ0egH7zzTddewxA8wIVAJowy2wbimsjSUgvgE5CLSQ/D4kEaGCV0I0rr7zSPTpERqZSGjBwoPUNvM14PmgA8D4T0jFr1izbdddd7fjjj6/XTT1KNQmgo6iU3DQC6OTWjXJWWAW4NzIIkEfqkydPdg4GBnmtssoq1rVrVzfo+vXXX7cXX3zR3TuBYsLgCJHLBT94rT/88EM77bTTXDgIA7dPOeUU572Om3MBdHoA+r///a8NGjTIPECfddZZzomVy4bi2km50wugy10DlXH+xAE0XpHPPvvMDUggdIObN16S7sE0ObwqlIaACxQgAmoPOuggGz9+vHXr1s2uv/5669ChQ1FioQXQlWHQ+XIpgM6njNanTQGmorv00kvtwQcftLXWWsuB8Xrrrbfg3ggcXHPNNfbAAw+4+yshcYTG9ejRIydAc+1wTKCZl0sQKnfVVVc5z3XcMA4BdHoAmnj6AQMGuLEltL8A9LrrrpvThirtGhNAV1qNlSe/iQNoQPW6665z85ACz9y8uUkzF+lRRx3lbt5eKkI7GMTw/PPPG28m/Pvf/+56wHwv9CKALrSipT2eALq0euts5VOA+yKzFOFYAHqXWGIJd38kRzyte/nll513mkG1OCeYOYH76Iorrpg301w///znP929meMDTgwqZFakOIsAOj0A/b///c+OPfZYB9DYGDa0wQYbCKDjXBBKW9EKJAqgAWZGfV9xxRVuAIxXlsEuPI7caqutFgrRwCvCNEv33nuvu2hPPPFE26F3b2tRj9g8f658nwLofMpUxnoBdGXUk3LZcAWw9YkTJ9qXX37pHArNmjVz90dCO5g5wcM1v9nWPxhEuN9++7n45nxn55hvvfWWcY8FvJm5g3Eniy22WL5dcq4XQKcHoD///HPn1GKaQ0KDzjjjDNtoo40E0DktXyvTqEBiABrPyH/+8x8X98yIcWCahXANRoozWJCBCnhM/AJAEycNQHODP+KII2yPPfZwUzL5NIX6FEAXSsnyHEcAXR7dddbyKEAoHIDsX3zCdwZ94ZxgdiN+86QO4GFgNgC0qHAMrh/2J1YagGY/AJp7c5xFAJ0egGYmLN7DAEAztSGzYm2yySYC6DgXhNJWtAJlB2huzMAyjxsvvPBCN1cpMO0XburMrnHJJZe42TcyBygA0HhT7r//fgfQvC0LbwqDYgq9CKALrWhpjyeALq3eOlsyFMDuuU++/fbb7ikec0JzvwWsCd0g9pnQjUXBMyXhOMRUE1vNrB4M2v7rX/+6UEhdlBILoNMD0F9//bUbxM9A1S5dujhbYqrZzDY6ik0kMY1ioJNYK8nLU1kBmpuy9zzffPPNxshwbu54mbmhY8Q8YuwdhGUMHjzYsucppWHAC/LEE084ZXfbbTc3H7QAun6Gduutt9rVV1/tpg1kqsCRI0cab5jK9PrX78jl30sAXf46UA5KrwCe5ueee84NGvziiy+c55nrmZeoHBNMR0dYXJQxI1w/DBzk5VXcd3kr4d577+1mR4qJ3emxAAA/3ElEQVRTKgF0OgCaJxwANOOSCBfq1KmTA+jNN99cAB3nglDailagbAANKOPJANoeffRRdxFyY2ZQCqEa3OxJw2/efsXk/bwtK3NhMAsXMLN1ANykIS1T3hV6kQe60IqW9ngC6NLqrbOVVwHsHXhm7uYrA/D9MnjCx288z0suuaQdd9xxLo4ZZ0OYxxBY+uGHH+yEE05w91pKxoCxXr16OQdHnJIKoNMD0N98840bRMibLXnF+6nBXOJ0yMLsKY69lCutPNDlUr6yzlsygOYmzIT8gCg3dwa44DlmBg3AmQUPMxcgrwW99tprHUCzjhv3DjvssNDNmmMQe7Xnnnu6mDxAmxHBPFqMOzI8SpUJoKOolNw0Aujk1o1yVngFuKfyRG/o0KH23XffuXspnmbCNZg7nxhmXoQSBXZwVDAvPwO2iX9mGrvRo0fXGZMSpRQC6PQANO05717A2cX0scz40rNnz0g2FcVWyplGAF1O9Svn3CUBaOCFGzo3YEaB4wnBo0H4BmCN93j99de3bbfd1gE0M3EQSkA6vCX0bLnh+wExyIt3mkGHwPX06dOd1/nMM8+0LbfcciHQLlRVCKALpWR5jiOALo/uOmt5FMBBcf7557uBfz4sjphnnthtvPHGOcM2uEYyFw/XeBp5yxyDCFnHC1cAJ8K84i4C6PQANKEbA4OXm/FCM2ZjYTAqbbi3m7i2kaT0Augk1UZy81ISgKb4gDKT8DMY8Mcff3S/udAI12DmDACZi5CbOC9EYc5RAHqllVZyo3tXXXXVhQa6ALRA9l133eVAHE/1P/7xD5c+E7QLJb0AulBKluc4Aujy6K6zll4BHBO8wpv7I/ctHBTdgxdRMWCQ+2mm55n7MvdZHBzEtL722mtulg5ertK3b1/3aP6hhx5ysx1xLGKn8TTi8IgSO51degF0egCaJxs4sD766CPXmWKGFsJ6BNDZVq/faVWgZACNgDOCm/S0qVONmClu8sQ0M3oXcGawIINbuElffPHF7i1Z3NzXWWcdw7PMjTtzMBtzUNIgMJk7y/LLL28jRoxwM3AU4wIWQDuZK/YfAXTFVp0yHlMBXq0MzBDCgd3zeJ2wDR+zjEf6559/dq9gnjRpknvzK3M8M5aEcSlsZxzJoYceaisHr/8eEniyeTssjgke0fNEEIdF5v04ahYF0OkBaGZ0wc6wG8J6gGkG/NfHLqLaT6nSyQNdKqUr+zwlBWgvFTd1v2TDbjZA45k+++yzDY+IvzDZ/6mnnnKv9iYUBPjeZ599XCPB92IsAuhiqFq6YwqgS6e1zlReBYBdZtjAQ8iCkwLwZc5m4pkBbKYe4xE8XmcfSofDgoV7MmkZaDhu3Dg3TgWgwNHBVKO8rtnfi90OMf4RQKcHoOl88TTi3XffdY4rAJrwnvraRgwzKnpSAXTRJU7FCcoC0ItSjhs8L0e5/fbbXZgH80oC0Ny8uTABIR43Dh8+fMHrvvGGMFiGt2MVI3yD/AqgF1Vryd8mgE5+HSmHhVGAgX7MSAQcs3DfJNyCTyCZayH7k3SAM+m4n/YP5tMnPVNZcjy+Ez/NoO2GzHIkgE4PQNMJO+2009wbKrGJQYMG2S677OJsBXuq5EUAXcm1V7q8Jw6geXx43333uRekcJPfbrvt3OAEwj24wbMOz8p5551nL7/8smsM1lprLTcfNG/T4kZfjEUAXQxVS3dMAXTptNaZyqsADoY77rjDzZSBt5kY51wL90r+iJHmEXz3IE4aJ8Smm27q9rnsssvsww8/dPddHBl4GBt6jxVApwegefrL67sJFaJ9HhAMKNw1iJsvVhucy4aLtU4AXSxl03XcxAE0oEOMNB5opqljgOEaa6yx4KLEsJk3mkn9eYQEVPfr1889bsRzwu9iLALoYqhaumMKoEuntc5UfgXwDvLSE0CaWYqwf7/4eyRhGqsEMc4MLFxttdXcZ7du3dzTNt7wyuBBHBZAM4/qCadraIicADo9AM1kAMwHzuQADEwdMGCAa4sF0P5K02faFUgcQCO4HxXOTZ8L04dlcDOn10t8n3+rVuajIzwpxVoE0MVStjTHFUCXRmedJRkKcK8kHA7IYZaEr776yt1XCdFg+rkVVljBzbDBi1S4v/oQD64TXtl9xRVX2LRp01y4xl/+8hfbd999Fwz0bkgJBdDpAWgcXGeddZabmhb74dXuhPgIoBtyhWjfSlIgkQCdT0BGjvPK77Fjx7rGAWBmQAvekeWWW65o3mfyI4DOVyuVsV4AXRn1pFwWVgGcEfwRGseC95k/oBnQ8b/ZRhrm9GU8yXvvvee81j2DwYfEti6++OIFub8KoNMD0MTGMz84A02xJ15kxuvdBdBcTVqqQYGKAWg8Koz2HTJkiJtSid94p5lGh7cUFuPtg5kGIIDOVKPyvgugK6/OlOPSKoDHmrn07733XucwwCnBlHVrr732QnPwNyRXAuj0ADTx9YxFevbZZx0082R4v/32E0A35ALRvhWlQEUANPBDHB+v9yY2Gk8J3uf11lvPeUsYAFPsXq8AuqLsuk5mBdB1JNEKKbBAAa4Pwj2YDpRPQuOOOOII9zIVvvu46QU71POLADpdAI1D6+mnn3b2cfTRR9uBBx5Y9La4nqYXazcNIowlV9UmTjxA42meFQwcfPjhh230qFFuaiZu9gxsYVT4FltsUa83YsWtcQF0XMWSlV4Anaz6UG6SpQDXBy/GYPo74GHrrbe2I4880s2/X8ixJQLodAA09oIHmnCfJ554whkz9nLQQQcJoJN1aSs3RVQg0QCNp5mL9LHHHrMxY8a4AYQANTf0bbfd1gYPHuzeslVs7zP6C6CLaIUlOLQAugQi6xQVrQDT3z3//PPu/srMR7y8qlCeZy+MADo9AM0g04suusjNisX9lbddHnLIIQUL9/E2U45PeaDLoXrlnTOxAM0F+cEHHzhwZpACN3cPz0y5xIjfhrwRK25VCaDjKpas9ALoZNWHcpM8BbhGcFoAzTgliuGYEECnB6AZ1H/xxRe7p8PYDq9+58/PmpU8C4+eIwF0dK2qOWViARoDJkTjzTffdPHP3NSZKmf11Vd3jxbxkBR74GCmYQigM9WovO8C6MqrM+U4fQoIoNMD0L/88otdeuml9sADD7gZWwjfwAtNO13piwC60muwNPlPLEAz9dIll1xijz/+uIvJYwL/7bff3nbffXfrHrwxq9S9XAF0aQyyWGcRQBdLWR1XCkRXQACdLoDmbZX333+/ezrMfOEMPAWgCx36E93CCpNSAF0YHdN+lMQCNMADtOKB5vvyyy/vJv4HpIvxaDGsogXQYQole7sAOtn1o9xVhwIC6PQANDNj8cKde+65xwE0A1AZSEgbLYCujuu52kuZWICmYoh59n94nLkoy3VhCqAr+1IRQFd2/Sn36VBAAJ0egKZNHDZsmN11112unWYO6KOOOsq9n6Fc7XShrhJ5oAulZLqPk2iATpL0Augk1Ub8vAig42umPaRAoRUQQKcHoHnxzlVXXeXezYCji7cQ8jIVxiYJoAt95eh4SVRAAB2xVgTQEYVKaDIBdEIrRtmqKgUE0OkC6GuuucZuu+0254H+85//7F7n3bJlSwF0VV3V1VtYAXTEuhdARxQqockE0AmtGGWrqhQQQKcHoJlalle/33LLLQ6g99hjDzvuuOPcWyzlga6qy7pqCyuAjlj1AuiIQiU0mQA6oRWjbFWVAgLo9AD0rFmz7Nprr7Wbb77ZAXS/fv3s+OOPt9atW8sDXVVXdfUWVgAdse4F0BGFSmgyAXRCK0bZqioFBNDpAWgG2l133XV24403OoDeddddbcCAAdamTRsBdFVd1dVbWAF0xLoXQEcUKqHJBNAJrRhlq6oUEECnC6BHjBhho0ePdgDdp08fGzhwoLVt21YAXVVXdfUWVgAdse4zAXre3Hm2xZZb2gUXDAle6FL5b13yEvwrGAxydTAoZMaMX619u/Y2YuQIW3bZZcsy77bPU6E+BdCFUlLHkQL1V0AAnR6A5rXvN9xwg40cOdIB9M4772yDBg2ydu3aCaDrf4lozwpSQAAdsbIA6KuvvsbuuP0OazSvqW2y8aZ2yimnWpPGjc0aRTxIwpPdf9/9NubGMQFAT7c27VsGAH29ADrhdZadvbFjx7rHqrxmd8UVV3TTTHXu3Dk7mX5LgbIoIIBOB0BjPAD0qFGj7Prrr3cA/cc//tFOOOEEa9++vQC6LFeXTlpqBQTQERWf8uPPdumZY+zd578PALpx8Lal5sGjqjbB3imh56Akvwae51+Dt0vNnTfXalr/YkOvP9a6r7ikNW5SU/E3RHmgIxq6kkmBIioggE4PQNfW1tqYMWNs+PDhDqB79+7tAHqxxRar+PZCL1Ip4k0gRYcWQIdUJuA149fZdteIF+2x29+0X3+eZTYv2Cl4KyJLevB5frGC96a7cjVuWmNLrdDBNt91GWvTOXgDZI1bXbH/UI88ReCR41dffeXKsfnmmxuPHZlyqdKnXfIV8+KLL9qjjz4aPEWYIQ+0F0WfiVEgH0A3btLIVt24o60S/NFhr9Rlzuy59sK9E+y78dMt8EMstLTu0NT6Hr1S8HQvCPv7reHId9/hfsWSb/tCB47wwx/PJ80+rt+eb332fqTn79lnn7XHHnvMAfTaa69tffv2jTQLhz9f9nH9b789Oz9+e9xPfzy/X/Zx/Xa/ns7BZ5995l4SM3XqVOvYsaOL9V5iiSUKVic+L/qsXAUE0CF1V1s71778ZJINP+tR++z9iZ4vQ/ZKyeaaWvu15af2S9NPbF6j2oovFDdJwJJHjyzNmjVzr52t+IJlFIAbP2XkzWArrbSSXXnllaYQjgyB9LWsCuQDaO4v05t/YtNbfBr4Jyr3XsPTyfbT17dmc4KwqXkLdwRqa6bbT21fsrk1M4I6mA/IZa2MApycqeyYD5qlSZMmqXgLoZeF9gKnC58ANOEqAmivjj5RQAAdYgdzZtfa689+YiMveNJ+mvxLWu57IaWev9k1ao2+scmN/xM0ab9G2ifpibynwefTexz87zR8+jJusMEGNnToUOvQoUMaiqUypECB/AA9x36q+cCm1HwYoOX8Dm4lFrfRvCa2eG0Pazmva+BkXhig5zT6xb5p8nRQuulB0dIB0P5e4+sqbfdTytc4GOe01FJLuVCVLl26yAPtK1ufAugwG5g9q9Ze+/fHdsPQp2zKj8GNLx33vbBiu+2NaoKbR7ufrdnS31hNs8pt1DILi4d2ehDnXVNTk4o3ZmWWzX+nEWvRooXttttutuVWW1mL5s39Jn1KgbIqkA+gGzWeZ026fB/8Tbaa4PvvS+b339fG/5YdbJd9XL8933p/xuztfv38z7m1NTbri2WsdlrroK3wx5y/rab5bGu50ufWyN1LF32chY+qX+VUoHlw/+zRo4ftvvvurs0oZ1507mQpIA90SH2EAXRN43TEz84NQlXcLT3jvk5c4srrdbXdj9rQ2nVsEaJUZWwmtIHHjgB006ZNU+lNAKB5nEroBjd/LVIgKQrkA+gmwZiLTXqtYJts/wdr2mxhz21S8h4lH7Nm1to9I163Lz76webWZtxMg53bd2lpRw/Zxhbr1DIYU7IwXEc5ttKUR4EmQTvRIRgY2bJly1RM6VoeFdN5VgF0SL0uEqCDe+DyK3e11u1aBCAWcqAEb+ZG/+Un39u0qTOCgS+/3/Rp1Nbu0d0OPXU769Cl8t8uRRWk/ZFjppkB0ml7pJpZPn2vPAXyAXTT5o1t2z7r2DZ91rJmLSp3bv2ZwYDzMZc9aR//92urnbPwKMLO3dramSP2sk5d2wjEKsx0dS+tsAorUXYF0CFCLwqggeYDj9/WVlxjqSBOqnIJmjjvYX+73374flow+GxhgF5n8+XtsFO3t45d24Yopc1SQApIgUUrkB+gm9h2fdexbfuubc2a/z5LxaKPlrytM6fPstGXPWEfvZsDoJdsZ2ePTM80dslTXzmSAqVVQAAdoncYQB92Um9bZZ1ljGnfKnWZPXOOXXzinTZp4lQBdKVWovItBSpAAQG0ALoCzFRZlAKRFBBAh8gkgJYHOsREtFkKSIGICgigBdARTUXJpEDiFRBAh1SRAFoAHWIi2iwFpEBEBQTQAuiIpqJkUiDxCgigQ6pIAC2ADjERbZYCUiCiAgJoAXREU1EyKZB4BQTQIVUkgBZAh5iINksBKRBRAQG0ADqiqSiZFEi8AgLokCoSQAugQ0xEm6WAFIiogABaAB3RVJRMCiReAQF0SBUJoAXQISaizVJACkRUQAAtgI5oKkomBRKvgAA6pIoE0ALoEBPRZikgBSIqIIAWQEc0FSWTAolXQAAdUkUCaAF0iIlosxSQAhEVEEALoCOaipJJgcQrIIAOqSIBtAA6xES0WQpIgYgKCKAF0BFNRcmkQOIVEECHVJEAWgAdYiLaLAWkQEQFBNAC6IimomRSIPEKCKBDqkgALYAOMRFtlgJSIKICAmgBdERTUTIpkHgFBNAhVSSAFkCHmIg2SwEpEFEBAbQAOqKpKJkUSLwCAuiQKhJAC6BDTESbpYAUiKiAAFoAHdFUlEwKJF4BAXRIFQmgBdAhJqLNUkAKRFRAAC2AjmgqSiYFEq+AADqkigTQAugQE9FmKSAFIioggBZARzQVJZMCiVdAAB1SRQJoAXSIiWizFJACERUQQAugI5qKkkmBxCsggA6pIgG0ADrERLRZCkiBiAoIoAXQEU1FyaRA4hUQQIdUkQBaAB1iItosBaRARAUE0ALoiKaiZFIg8QoIoEOqSAAtgA4xEW2WAlIgogICaAF0RFNRMimQeAUE0CFVJIAWQIeYiDZLASkQUQEBtAA6oqkomRRIvAIC6JAqEkALoENMRJulgBSIqIAAWgAd0VSUTAokXgEBdEgVCaAF0CEmos1SQApEVEAALYCOaCpKJgUSr4AAOqSKBNAC6BAT0WYpIAUiKiCAFkBHNBUlkwKJV0AAHVJFAmgBdIiJaLMUkAIRFRBAC6AjmoqSSYHEKyCADqkiAbQAOsREtFkKSIGICgigBdARTUXJpEDiFRBAh1SRAFoAHWIi2iwFpEBEBQTQAuiIpqJkUiDxCgigQ6pIAC2ADjERbZYCUiCiAgJoAXREU1EyKZB4BQTQIVUkgBZAh5iINksBKRBRAQG0ADqiqSiZFEi8AgLokCoSQAugQ0xEm6WAFIiogABaAB3RVJRMCiReAQF0SBUJoAXQISaizVJACkRUQAAtgI5oKkomBRKvgAA6pIoE0ALoEBPRZikgBSIqIIAWQEc0FSWTAolXQAAdUkUCaAF0iIlosxSQAhEVEEALoCOaipJJgcQrIIAOqSIBtAA6xES0WQpIgYgKCKAF0BFNRcmkQOIVEECHVJEAWgAdYiLaLAWkQEQFBNAC6IimomRSIPEKCKBDqkgALYAOMRFtlgJSIKICAmgBdERTUTIpkHgFBNAhVSSAFkCHmIg2SwEpEFEBAbQAOqKpKJkUSLwCAuiQKhJAC6BDTESbpYAUiKiAAFoAHdFUlEwKJF4BAXRIFQmgBdAhJqLNUkAKRFRAAC2AjmgqSiYFEq+AADqkigTQAugQE9FmKSAFIioggBZARzQVJZMCiVdAAB1SRQJoAXSIiWizFJACERUQQAugI5qKkkmBxCsggA6pIgG0ADrERLRZCkiBiAoIoAXQEU1FyaRA4hUQQIdUkQBaAB1iItosBaRARAUE0ALoiKaiZFIg8QoIoEOqSAAtgA4xEW2WAlIgogICaAF0RFNRMimQeAUE0CFVJIAWQIeYiDZLASkQUQEBtAA6oqkomRRIvAIC6JAqEkALoENMRJulgBSIqIAAWgAd0VSUTAokXgEBdEgVCaAF0CEmos1SQApEVEAALYCOaCpKJgUSr4AAOqSKBNAC6BAT0WYpIAUiKpAXoJs1tm36rG1b7bimNW3WJOLRkpds5ozZdvOVT9kn731rtbVzF8pg5yXb2dkjBdALiaIfUqCCFRBAh1SeAFoAHWIi2iwFpEBEBfIBdOMmNbbyWkvZkst1tMaNayIeLXnJ5syptbdf/twmfzfN5s2dt1AGBdALyaEfUqDiFRBAh1ThogDaGpkdcPxWtuIaS1hNBd/0a+fMtStPf8h+mPTLQjf9Jk1rbJ3NBdAhJrLIzXPmzDH+Zs+evch0lbpx3rz5kMBno0bBBREs/rNSy5Qr35SpSZMm1rRp0wDwGudKonURFMgH0I0CZq6pqZkPz/PNKMLRkpeE62Bu7bz53ueF+dkE0A2rL7SdNWuWu5f6+07UI2anz75H+e3Z6/3xw7b7dFE//fF8en/efOt9uoZ++uP78/nj+fX+d77t2et9+rif3EubNWvmrvlCHTNuHgqRXgAdomIYQM/o+I7Na/5TQA0hB0rw5nnBk8ZWkzY0m9PCbN7vBRFAN6zSuCl98cUXNnr0aBs/frxl36QadvTk7D1z5kzjr2XLlg4wk5OzwuWEG/6aa65p++23n3Xs2NHd+At39Oo5Uj6ArgYFuvwWwtGxa9vAfn6/z1ZD2Rtaxrlz59rUqVPtzjvvtBdffDHooNQ29JCJ3B9ny6+//uruoy1aBO1xCheAeYUVVrA///nP7pN7a6UuAuiQmlskQNs8+7bxc/Zro2+DbwvHu4UcNlGbG1ljW3pOb2tqbYJ8/f74VADdsGriJj9y5EgbM2aM85w07GjJ3pvOQSV7EqKoi+f5nHPOsW222Sa1HYUoOjQkDQB9Rv9bbMoP0xd62tWQY1bKvgD0OaP2sQ5d2gigY1YaT/BefvllGzp0qE2cODHm3pWV3Dta0nw/pXMAQB988MHWunXryqqgjNwKoDPEyPU1DKC/azrOfq3hgq5ggJ5XY91m9woAuq080LmMoB7ruAly07/88svtjjvuMDwo9LTT9vifTgJl449H8PMfw6crxAGvEOWkQRs0aJD169fP0uodqoepx9rlx0k/27DTHrQP3/ja5sxOpxcxlyDEeK+96XI26JK+1qx508CWcqXSunwKcC994okn7KKLLrKff/55wX0mTZDp2wzvjKC9oHxpKSPlop3gXkr4xo477mjHH3+8tW0bcEeFLgLokIpbJEAHN8El15turTsHjevvjtuQIyZvc2DTNn5cK5s1PQCfjLg9eaDrX1fcLIjX8wDN70033dTWW289B9L1P3Jy9qRMX3/9tT300EMuhAOo3G677ax79+6puelzs7/33nttwoQJrkwDBw50AE24ipb4CsyYPssevvUNe+CmV2zalBnz/Q6/0WSamHLBbTS4RqzRPOu8RHvb+7gtbYveq1b0eJn4NV6YPbiXPv7443bJJZfYL7/8YssF95htevasaO9ltjKU65ZbbnEhHDhaevfu7e6laXG60Al65ZVX7O2333YdIAB6wIABAuhsQ0jT70UBNPf9g0/oZausvZThYajUhTJeesrdNnnitKCHuODWbwLo+tdoLoDec8897aijjrJWrVqlAjDxJhCPePbZZ7v4RDwJJ5xwgu2www6pKB91OH36dOd1fuutt5wxCKDrf02wJ/eXqT9Ot+EX3WGvPP2xzZsdDCZq3CKIn2/lGtWGHT0pe88fRDgjiGWdM3eOzW3ys+1/zI628149rEXLpknJZEXlIxOgiRFmPMJpp51myy23XEWVI19mudf8+OOPts8++9iUKVNciNhZZ51lW265pfPW5tuvktbz5ODaa691DgnKK4CupNqrZ17DAPqwk3rbKussHQB05T62nj1rjl184p02aeJUAXQ97SR7t1wATczXMccckyqAHjdunHGjZ4APAH3SSSc5gCaUo9IX6hCvEND85ptvuuIIoBtWq4GkbjDtmNE32phRN9mMX2cGXrblbciQIda+ffuGHTwhe9Ox/PLLL+2yyy6zj//3cdA5aG7nnn+29dh80xR1Ekordi6APv300x1ApyHEgXvNTz/95OKC+STEgfvqVlttZc2bNy+t2EU627Rp02z48OF2zz33uHuAALpIQifpsNEAehlrHEz5VqnL7JkC6ELXXbUA9AsvvGBnnnmmALrQBpTy4zEzzQ033OAeV6+88so2bNgwN7tJGorNC1Q+//wzO/fcc+29994POswtXQehR48eqXgyU446ygfQ3YNQjjQstBc4IfbYYw8H0gD03/72N+sZhKkIoJNbw4qBDqkbAbTmgQ4xkZybBdCV26H0FUodygPt1SjsZy6A7tSpU2FPUqajETf/+eefuxlb3nvvPffECQ+7ALr+FVINAI2Hdvfdd3cAzXzzADQz/gig6283xd5TAB2isABaAB1iIjk3C6AF0DkNQyudAgJoGUIcBaoBoIkR/tOf/rQAoAlRYVC2ADqOpZQ2rQA6RG8BtAA6xERybhZAC6BzGoZWOgUE0DKEOApUA0AzYHm33XZbANAMkuzVq5cAOo6hlDitADpEcAG0ADrERHJuFkALoHMahlY6BQTQMoQ4CqQdoNGC2UX69u27AKBPOeUUNyA7LXPOaxBhHItPSVoBtAC6PqYsgBZA18duqmUfAXS11HRhylkNAD1jxgwH0ExnRwz0ySef7OaCFkAXxoaKcRR5oENUFUALoENMJOdmAbQAOqdhaKVTQAAtQ4ijQDUA9MyZM61Pnz5uPmgA+sQTT3RzJQug41hKadMKoEP0FkALoENMJOdmAbQAOqdhaKVTQAAtQ4ijQDUANGUkhGPy5MnOAz148GDbeeedTQAdx1JKm1YAHaK3AFoAHWIiOTcLoAXQOQ1DK50CAmgZQhwFqgWg+/XrZ999950D6EGDBtkuu+wigI5jKCVOK4AOEVwALYAOMZGcmwXQAuichqGVTgEBtAwhjgLVAtC8SOXbb7+1Jk2a2IABA5xHWh7oOJZS2rQC6BC9BdAC6BATyblZAC2AzmkYWukUEEDLEOIoUC0Avddee9mECRMcQP/1r3+1XXfdNXgVfMs4UiU2rWbhSGzVFC9jAmgBdH2sSwAtgK6P3VTLPgLoaqnpwpSzWgB63333tfHjxzuAPuaYY9yLVQTQhbGhYhxFHugQVQXQAugQE8m5WQAtgM5pGFrpFBBAyxDiKFAtAL3//vu718ATwnH00Ue7V3sLoONYSmnTCqBD9BZAC6BDTCTnZgG0ADqnYWilU0AALUOIo0C1APRf/vIX+/TTT61x48Z25JFH2p577qkQjjiGUuK0AugQwQXQAugQE8m5WQAtgM5pGFrpFBBAyxDiKFANAD179mw76KCD7OOPP3YAffjhhxsx0fJAx7GU0qYVQIfoLYAWQIeYSM7NAmgBdE7D0EqngABahhBHgWoB6EMPPdQ+/PBDq6mpscMOO8wBdKtWreJIldi0GkSY2KopXsYE0ALo+liXAFoAXR+7qZZ9BNDVUtOFKWe1ADRe5/fff98B9CGHHGL77LOPCaALY0PFOIo80CGqCqAF0CEmknOzAFoAndMwtNIpIICWIcRRoFoA+qijjrJ3333XAXT//v2NQYUC6DiWUtq0AugQvQXQAugQE8m5WQAtgM5pGFrpFBBAyxDiKFAtAM3UdW+//bYD6AMPPNAOOOAAa926dRypEptWIRyJrZriZUwALYCuj3UJoAXQ9bGbatlHAF0tNV2YclYLQPPylDfeeMMaNWpkADR/AujC2FAxjiIPdIiqAmgBdIiJ5NwsgBZA5zQMrXQKCKBlCHEUqBaAHjhwoL3++utOGsI3COMQQMexlNKmFUCH6C2AFkCHmEjOzQJoAXROw9BKp4AAWoYQR4FqAejBgwfbq6++6qThrYQHH3ywADqOoZQ4rQA6RHABtAA6xERybhZAC6BzGoZWOgUE0DKEOApUC0CfcMIJ9sorrzhpmAOaqezkgY5jKaVNK4AO0VsALYAOMZGcmwXQAuichqGVTgEBtAwhjgLVAtAnn3yyvfTSS0b7wVsIjzjiCAF0HEMpcVoBdIjgAmgBdIiJ5NwsgBZA5zQMrXQKCKBlCHEUqBaAPvXUU+2FF15wAP2nP/3JmNauTZs2caRKbFrNwpHYqilexgTQAuj6WJcAWgBdH7upln0E0NVS04UpZ7UA9Omnn27PPfecA+jddtvNmNZOAF0YGyrGUeSBDlFVAC2ADjGRnJsF0ALonIahlU4BAbQMIY4C1QLQZ555pj3zzDM2d+5c23XXXe3YY48VQMcxlBKnFUCHCC6AFkCHmEjOzQJoAXROw9BKp4AAWoYQR4FqAeizzz7bnn76aQfQu+yyix1//PEC6DiGUuK0AugQwQXQAugQE8m5WQAtgM5pGFrpFBBAyxDiKFAtAH3OOefYU0895QB6p512sgEDBljbtm3jSJXYtIqBTmzVFC9jAmgBdH2sSwAtgK6P3VTLPgLoaqnpwpSzWgD6vPPOsyeeeMIB9B//+EcbNGiQALowJlSUo8gDHSKrAFoAHWIiOTcLoAXQOQ1DK50CAmgZQhwFqgWgL7jgAnv00UcdQPfq1ctOPPFEAXQcQylxWgF0iOACaAF0iInk3CyAFkDnNAytdAoIoGUIcRSoFoC+8MIL7ZFHHrHa2lrbbrvt7KSTTrJ27drFkSqxaRXCkdiqKV7GBNAC6PpYlwBaAF0fu6mWfQTQ1VLThSlntQD0xRdfbA899JAD6G222cZOOeUUAXRhTKgoR5EHOkRWAbQAOsREcm4WQAugcxqGVjoFBNAyhDgKVAtAX3rppfbAAw/YnDlzrGfPnnbaaacJoOMYSonTCqBDBBdAC6BDTCTnZgG0ADqnYWilU0AALUOIo0C1APRll11m9913nwPoLbfc0s444wwBdBxDKXFaAXSI4AJoAXSIieTcLIAWQOc0DK10CgigZQhxFKgWgL7iiivs3nvvtdmzZ9vmm29uvFhFMdBxLKW0aQXQIXoLoAXQISaSc7MAWgCd0zC00ikggJYhxFGgGgCasI1hw4bZ3Xff7QB6k002MeaFbt++fRypEptWgwgTWzXFy5gAWgBdH+sSQAug62M31bKPALpaarow5awWgL7qqqvszjvvdAC90UYbGfNCC6ALY0PFOIo80CGqCqAF0CEmknOzAFoAndMwtNIpIICWIcRRoFoA+pprrrHbb7/dAfQGG2xgQ4YMEUDHMZQSpxVAhwgugBZAh5hIzs0CaAF0TsPQSqeAAFqGEEeBagHo4cOH22233eYAet1117WhQ4faYostFkeqxKZVCEdiq6Z4GRNAC6DrY10CaAF0feymWvYRQFdLTRemnNUC0Nddd53deuutRnnXWmstY15oAXRhbKgYR5EHOkRVAbQAOsREcm4WQAugcxqGVjoFBNAyhDgKVAtAjxw50saOHbsAoC+66CLr0KFDHKkSm1Ye6MRWTfEyJoAWQNfHugTQAuj62E217COArpaaLkw5qwWgb7jhBrv55psdQK+55poGQHfs2LEwIpb5KALoMldAOU4vgBZA18fuBNAC6PrYTbXsI4CulpouTDmrBaBHjRplN9100wKAvvDCC61Tp06FEbHMRxFAl7kCynF6AbQAuj52J4AWQNfHbqplHwF0tdR0YcpZLQA9ZswYu/HGG23mzJm2xhprGADduXPnwohY5qMIoMtcAeU4vQBaAF0fuxNAC6DrYzfVso8AulpqujDlrBaAJnwDLzQAvfrqqzuA7tKlS2FELPNRBNBlroBynF4ALYCuj90JoAXQ9bGbatlHAF0tNV2YclYLQDOAkDhoD9BMY7f44osXRsQyH0UAXeYKKMfpwwD60JN626rrLG01jSsXGGbPrrVLTrzTJk2canPnzlsgc5OmNbbO5gLoBYLE+CKArtzrwVczdfjLL7/YwIED7c0333Sr+d6vXz9r2bKlT6bPeigggK6HaFW8S7UA9C233GIjRoxwAL3aaqu5eaC7du2aipoXQKeiGuMVIgyg+w/c3pZeobPV1FQuMMyZU2vXnv+QTf7+Z5sngI5nIHlSC6Ar93rwVSqA9koU/lMAXXhN03zEagFo5oC+/vrrFwD0BRdcYEsssUQqqlYAnYpqjFeIRQG0NTJr3qKpNW4cfAn+X2jBkcu63x268zf7dH69/83W7HXZv+cfYX667GP735nH8+kzP3McM3C02cxfZ8/3PvvtwT7yQGcKF++7AFoAHc9iqiu1ALq66ruhpa0WgOY13tdee63NmDHDVl11VQOgu3Xr1lD5ErG/ADoR1VDaTCwSoMlKGLCWNrsNO1sGPHMgAXT95cwF0BtuuKFtttlm1rRp0/ofOEF7Usbx48fbQw895G74LVq0sO23395WWmmlBOWyYVmZPXu23X333fbVV19Zo0aNXDiHQjgapil7e4CePn26LbvssrbzzjunJiyG62LKlCn22GOP2YQJE6xVq1Y2ZMgQ69Gjh7OhhqtXfUfIBGjCqpZeemnr1auXtW/fPjVizJ0719566y0bN26czZkzx8U+77LLLtauXbtUlJE6fOGFF+ztt992T+x33HFHGzBggLVt27Ziy6c3EYZU3ZwgPvjVf//Pbhj6pE35YfrvXuKQ/dKwuUmzxrZuj+526Gm9rOPibdJQpJKVwQP0FVdcYXfccUfg3Z/rwLlJkyapaUQpY21trQGZfCeMic5B48aNS6ZzKU7EgB7KCUAPGjTIxUDTWdBSfwWYrovBUsAQNpOm6wJVuB64LrCb1q1b2/nnny+Arr+5OC0ff/xx92rrn3/+2d1jsJlKDp3MlgObAZz54zv3Ua6NtJQxs3yUa6eddrLjjz9eAJ1tCGn6TXzwuy9/Yded/4RN+mZqVQF00wCgN+u9ih04sKe169gqTdVakrJwI7zuuuvcxPg0pixAWJoWborZS1rLSLnOOecc52WnAdBSfwXuueceGzZsmE2dGtxTf1vSaDfADy/COPfcc22DDTZI3fXv667Yn9w/8V4S0jBp0qQFp0uTzeS6l1LQtJQxs3zNmze3PfbYww4//HDXwVxQoRX2RR7okApjVorvv55i15z5iH341gSbO6cuMIQcoiI3N6ppZC1bNbUDBve0LXdczZoFsd5a4inADeOTTz4xBoZ8++23zqsQ7wiVkZp4PeLbeJwKWKblhp+pPt6g5ZZbzvbff39jXta0eIUyy1jK7xMnTrQ777zTPv74Y/fWtVKeu5Tnwm4A5z59+qTmlcyl1M+fiyd4P/74o7OZd955xz3R89v0WXkKLLXUUta3b18X582ThEpdBNAhNYeDjYv3hUc/sH8Oe85+mTbT5tbODWAoZMcK3oyTtFnzJrbxdivaPsduZW3bt6joafrKWRU8wgUwCQPI7IGXM0+FPjfXB+UEFtIKlpSrWbNmRugG5dTSMAWwGa4Jrg2ui7ReG9gNUx5iO2m9NhpmCfH2Jmbe20y8PZU6KQrgYOF64Lrgmqhkh4sAOqJVMZjwi4+/tw/e+MomfzvVZs2sjbhnhSUL4Ll5iya24prdbJ3NulurNs0r2sCToH5a4SAJ2pY6D5V8sy+1VlHOVw3XhmwmiiVET1MNNhNdjcpNmYbrQgAd0f64aOfWBkH+waBCwjrSfBFj2MzA0bgJHsV0xexGrG4lkwJSQApIASkgBaRAXgUE0Hml0QYpIAWkgBSQAlJACkgBKVBXAQF0XU20RgpIASkgBaSAFJACUkAK5FVAAJ1XGm2QAlJACkgBKSAFpIAUkAJ1FRBA19VEa6SAFJACUkAKSAEpIAWkQF4FBNB5pdEGKSAFpIAUkAJSQApIASlQVwEBdF1NtEYKSAEpIAWkgBSQAlJACuRVQACdVxptkAJSQApIASkgBaSAFJACdRUQQNfVRGukgBSQAlJACkgBKSAFpEBeBQTQeaXRBikgBaSAFJACUkAKSAEpUFcBAXRdTbRGCkgBKSAFpIAUkAJSQArkVUAAnVcabZACUkAKSAEpIAWkgBSQAnUVEEDX1URrpIAUkAJSQApIASkgBaRAXgUE0Hml0QYpIAWkgBSQAlJACkgBKVBXAQF0XU20RgpIASkgBaSAFJACUkAK5FVAAJ1XGm2QAlJACkgBKSAFpIAUkAJ1FRBA19VEa6SAFJACUkAKSAEpIAWkQF4FBNB5pdEGKSAFpIAUkAJSQApIASlQVwEBdF1NtEYKSAEpIAWkgBSQAlJACuRVQACdVxptkAJSQApIASkgBaSAFJACdRUQQNfVRGukgBSQAlJACkgBKSAFpEBeBQTQeaXRBikgBaSAFJACUkAKSAEpUFcBAXRdTbRGCkgBKSAFpIAUkAJSQArkVUAAnVcabZACUkAKSAEpIAWkgBSQAnUVEEDX1URrpIAUkAJSQApIASkgBaRAXgUE0Hml0QYpIAWkgBSQAlJACkgBKVBXAQF0XU20RgpIASkgBaSAFJACUkAK5FVAAJ1XGm2QAlJACkgBKSAFpIAUkAJ1FRBA19VEa6SAFJACUkAKSAEpIAWkQF4FBNB5pdEGKSAFpIAUkAJSQApIASlQVwEBdF1NtEYKSAEpIAWkgBSQAlJACuRVQACdVxptkAJSQApIASkgBaSAFJACdRUQQNfVRGukgBSQAlJACkgBKSAFpEBeBQTQeaXRBikgBaSAFJACUkAKSAEpUFcBAXRdTbRGCkgBKSAFpIAUkAJSQArkVUAAnVcabZACUkAKSAEpIAWkgBSQAnUVEEDX1URrpIAUkAJSQApIASkgBaRAXgUE0Hml0QYpIAWkgBSQAlJACkgBKVBXAQF0XU20RgpIASkgBaSAFJACUkAK5FVAAJ1XGm2QAlJACkgBKSAFpIAUkAJ1FRBA19VEa6SAFJACUkAKSAEpIAWkQF4FBNB5pdEGKSAFpIAUkAJSQApIASlQVwEBdF1NtEYKSAEpIAWkgBSQAlJACuRVQACdVxptkAJSQApIASkgBaSAFJACdRUQQNfVRGukgBSQAlJACkgBKSAFpEBeBQTQeaXRBikgBaSAFJACUkAKSAEpUFcBAXRdTbRGCkgBKSAFpIAUkAJSQArkVUAAnVcabZACUkAKSAEpIAWkgBSQAnUVEEDX1URrpIAUkAJSQApIASkgBaRAXgUE0Hml0QYpIAWkgBSQAlJACkgBKVBXAQF0XU20RgpIASkgBaSAFJACUkAK5FVAAJ1XGm2QAlJACkgBKSAFpIAUkAJ1FRBA19VEa6SAFJACUkAKSAEpIAWkQF4FBNB5pdEGKSAFpIAUkAJSQApIASlQVwEBdF1NtEYKSAEpIAWkgBSQAlJACuRVQACdVxptkAJSQApIASkgBaSAFJACdRUQQNfVRGukgBSQAlJACkgBKSAFpEBeBQTQeaXRBinw/+zcV6gkxQIG4DJHzII5IeZrQMwJUczig5gRMxgwgWJWTBgxYnxRX1REVAQRBLNiQBRRzJizGDHHu3/B6Llb1tVdZzx79Bs4nN2qOT09X3dX/V1VMwQIECBAgAABAq2AAN2aKCFAgAABAgQIECDQFRCguzQqCBAgQIAAAQIECLQCAnRrooQAAQIECBAgQIBAV0CA7tKoIECAAAECBAgQINAKCNCtiRICBAgQIECAAAECXQEBukujggABAgQIECBAgEArIEC3JkoIECBAgAABAgQIdAUE6C6NCgIECBAgQIAAAQKtgADdmighQIAAAQIECBAg0BUQoLs0KggQIECAAAECBAi0AgJ0a6KEAAECBAgQIECAQFdAgO7SqCBAgAABAgQIECDQCgjQrYkSAgQIECBAgAABAl0BAbpLo4IAAQIECBAgQIBAKyBAtyZKCBAgQIAAAQIECHQFBOgujQoCBAgQIECAAAECrYAA3ZooIUCAAAECBAgQINAVEKC7NCoIECBAgAABAgQItAICdGuihAABAgQIECBAgEBXQIDu0qggQIAAAQIECBAg0AoI0K2JEgIECBAgQIAAAQJdAQG6S6OCAAECBAgQIECAQCsgQLcmSggQIECAAAECBAh0BQToLo0KAgQIECBAgAABAq2AAN2aKCFAgAABAgQIECDQFRCguzQqCBAgQIAAAQIECLQCAnRrooQAAQIECBAgQIBAV0CA7tKoIECAAAECBAgQINAKCNCtiRICBAgQIECAAAECXQEBukujggABAgQIECBAgEArIEC3JkoIECBAgAABAgQIdAUE6C6NCgIECBAgQIAAAQKtgADdmighQIAAAQIECBAg0BUQoLs0KggQIECAAAECBAi0AgJ0a6KEAAECBAgQIECAQFdAgO7SqCBAgAABAgQIECDQCgjQrYkSAgQIECBAgAABAl0BAbpLo4IAAQIECBAgQIBAKyBAtyZKCBAgQIAAAQIECHQFBOgujQoCBAgQIECAAAECrYAA3ZooIUCAAAECBAgQINAVEKC7NCoIECBAgAABAgQItAICdGuihAABAgQIECBAgEBXQIDu0qggQIAAAQIECBAg0AoI0K2JEgIECBAgQIAAAQJdAQG6S6OCAAECBAgQIECAQCsgQLcmSggQIECAAAECBAh0BQToLo0KAgQIECBAgAABAq2AAN2aKCFAgAABAgQIECDQFRCguzQqCBAgQIAAAQIECLQCAnRrooQAAQIECBAgQIBAV0CA7tKoIECAAAECBAgQINAKCNCtiRICBAgQIECAAAECXQEBukujggABAgQIECBAgEArIEC3JkoIECBAgAABAgQIdAUE6C6NCgIECBAgQIAAAQKtgADdmighQIAAAQIECBAg0BUQoLs0KggQIECAAAECBAi0AgJ0a6KEAAECBAgQIECAQFdAgO7SqCBAgAABAgQIECDQCgjQrYkSAgQIECBAgAABAl0BAbpLo4IAAQIECBAgQIBAKyBAtyZKCBAgQIAAAQIECHQFBOgujQoCBAgQIECAAAECrYAA3ZooIUCAAAECBAgQINAVEKC7NCoIECBAgAABAgQItAICdGuihAABAgQIECBAgEBXQIDu0qggQIAAAQIECBAg0AoI0K2JEgIECBAgQIAAAQJdAQG6S6OCAAECBAgQIECAQCsgQLcmSggQIECAAAECBAh0BQToLo0KAgQmqsAvv/xSfv755/Ljjz/Wn59++qm+lemnn77MMMMM9WemmWYq00033UR9ixN+v3OMBscpxyHHxYMAAQITRUCAnihHahz3M51cAsh3331XZp11Vh3dOB4LL90XGATmr7/+unz22WflnXfeKS+++GJ59tlny9tvv11mm222Msccc5R55pmnrLnmmmXjjTcu8847b5lxxhn7G1UzMoEffvihPP/88+Wpp54qO+20U5l99tlH9lo2TIAAgWELCNDDFv0Hbi/B5LXXXiuPPvpo2WabbWro+Ae+zal6S7m5MIo5VXRD/aMch08++aQ888wz5eGHHy5PP/10effdd+voc87f1OcxOFYzzzxz2WKLLcq+++5bFltssaHui439OYEPP/ywXHzxxfXG/IQTTtCu/Dk2zyJAYBoREKCnkQMxLe9GpsHvvffecuONN5YTTzyxLLXUUr8GkWl5v0e9bxmRj0tGMddYY42SUDasRwJfRuiy5MAIaV81Rt9880255557yh133FFHnb/88st6fiYsxy+PeOY8zvMzm5K6ueeeuxx55JFlq622+vV5/VdSM0yBzBLceuuttU05+eSTy+qrr16ypMbjjwVyLudncG7/8V94BgECoxAQoEeh+jvbHDsKNmj40giOnXZOIEtZglg6kyyXSHjK8wcjZ7+z6ZEXJXQknFx77bXlrLPOKiussMK47s/I3/CffIG33nqrnH/++WWttdYqO+64Y10i8Cf/9A+flpB39dVXl5VWWqlstNFGOsvJxHKdJIRlVuTOO+8sL7zwQr1eEooXX3zx8p9VVy0LL7RQXbKRpRsJ2a+//np54IEHyiOPPFK+//77em3tt99+JT+Da3Kyl/HfIQukvctxS3ty/fXXl7XXXrsccsgh9WZmPNu4Ib/NkW7ugw8+qDMs66+/fl32Mqpzd9A/5bgMfkb6xmycwAQTEKD/pgOWDvzBBx+snfuyyy5bG6Ss03zllVfKSy+9VH9/8cUXNUCnw896wEUXXbRssskmZemllx7XdccJG7fccku58sory0UXXVRWW221f32ATufy+OOPl1NOOaUccMABZdttt60BbhinU7b91VdflV133bVsuumm5YgjjhjX4z+M9zTsbeQG49VXXy1nn312XQKwzjrr1BuZJZdcssw///zVa2ynH9PcCF5++eX1XP7222/r8TrssMPqzc+oQsiw3/dE3l6OQQYJ7rrrrnpzmAGCXD8rrrjiv2aWJQZ/9Ubhpptuqjcfp556all55ZVHZpd2/+WXXy5zzjlnXebkQ54T+eqz76MQEKBHoTpmm2kw09nff//95bLLLit77713DdEZCbv77rvraEwaqkwv57mDRxrZWWaZpWywwQbl2GOPrY3YoO7v/p1OL8s3EqATWDbccMN/faBLGLvhhhvKVVddVdKR5QNpw1rCkVG6rA/da6+9ynrrrVePf86Fv9rx/t3nzShfL9dKrpmPPvqouueGM7M26eTHBufBPuQazMhdbnbyN3ksuOCC5aSTTioJ32wHUqP7nXYua9RzvWQU+vDDDy9bbrllPW7/dP9c04PZxsF5OrXSl156abn99tvrjfXmm29e+4mp3db/+7tcJ+ecc05ZYokl6ixNPoDrQYDAbwIC9G8WQ//XoJN/8sknyxVXXFE/5LTMMsvUu/qMMKZDSceR0a8EpEw/j10HmH9n+n7PPfcc6vKAKX2j304K0NdNWr5xzTXXlOOOO65svfXWQwuLU7ov08rzc/wSBDKrcOGFF9ZvdRh77P7Kfibs5UObBx10UN1uzOeaay4h73dQBzedfxTAsi46N4HXXXddXc6RpVGZScma/iz58BidQI5RwmM+2HnJJZeU1yctpdlll13K7rvvXtu80b3ytLPl9957r4behNKE3nxmIm1+bgJTl5HeBRZYoGR28v99G0mef8YZZ9Q1/zvvvHPZZ5996jKlKX2naWPyuhldTr8z+fWTY5YZnnxGYLvttit77LHHVL3OlO6X5xOYSAIC9AiPVhq7fE3TueeeWxur/D+hOY80Wmks03kvvPDCZaFJ6zXnm2++/wmmGU1LXZ47nlPMme7OSGtGXA888MDa+WWZyb/1kc4ly23233//8uabb9YAnXXQwwrQOU8yUnf00UeXVVZZpRx//PG1cx3Pc2AiH+uEt+eee66ceeaZNRTk/5ktyI3JZpttVpdy5JjmJ4/B74SKYU9bj32dgWleZ/IAM6j7J/xOWHvjjTfKBRdcUEP0qpPWpx9zzDG17ZtW3/fYc2AYx+Dmm2+ugyi5kVtuueWqRWZAsrQvo7yZoVxkkUXKoYce2p0RyT7lxv20004rDz30UF3ed9RRR9UlS1O6j5lVPP300+tsYr6NZvK2JW1QPpibJTZZQrbDDjsMbYnalO6r5xOYVgUE6BEdmUGnncYxU8e508+0//bbb19HFbNWM4ErI2HppAdTz9mdsZ1K/j154zaiXe5uNo18Ro6yDnq33Xar0+DjNZ2XTiS2MRnr1N35EVRkHzJCfPDBB5dPP/20jghlrfqwlnDkPMmH49J5Lb/88iVf8ZXOdbzPgxFQjnyTg9CR5VO33XZbHfHLNZclN7kxyWhfvHOOf/755/W45qY3N0iZaUnYG+a5luCS18pPHjlnMruQfRqv83mUByHXar5eMO3gY489Vr+xJqP+Gf0f1vUy7P3PPuf4pH3OzzCOy3333Vc/cJy+ILOQmZHMt/fku8rzIcqMBmdEOrON+VDr7924Zb8+/vjjGqCfeOKJ+gHMLO/LIMuUPLKd999/v45eZxAgH4CevG3J53Myw5Z26LzzzivrrrvuyNZaT8m+ey6BaUngvwAAAP//pSKECgAAQABJREFU7N0HnCVF9fbx2kRmESQIEhYEMYEJEBUVA0YMmLNgBkwgYMCAATMCElRkFbMCIibEjIk/KhLNCURAFIkSlgWWt7/NFu9lnJntOzuzO3Pnqf3cnZl7q7urflV16qlTp/vOuKVJJWlcCdx8883lvPPOK0ceeWQ588wzy0477VQe/OAHlzXWWKNsvvnmZcUVVyyzZs0qM2bMaF/jevEJONl1111XPvjBD5aTTjqprcu+++7b1mUCLrXEU+L6f//3f+VpT3tay3GJB0xABkPmtNNOK29961vLf//737L//vuXRz/60WWllVYal6stXLiwfO9732uZz5s3r7zlLW8pm266adtnXGDRokXlpptuKtrlmmuuaa+58sorlzvc4Q5l5syZU6JPjQuoDicxFn/605+W97///eXSSy9tj1hrrbXKc5/73LLhhhuWf/3rX+Wiiy4qF198cfn73/9err766nLjjTe2+Xx+0EEHlfXWW6/l2uFyw2bRX7TpX//61/LLX/6y/Pa3v22vp2zrrLNO2WGHHcpjH/vYsvrqqy/VdYa9+HJ8Uz/Fdv78+eX73/9+WWWVVcrLXvay8qQnPamssMIKk7KfavtLLrmkfPWrX21t9n3uc5/bxt3SoDROf/azn5Xf//735QEPeEC53/3u19oLY/jQQw8tp5xyStlggw3KnnvuWe5///sPy0Z/+cc//lHe9a53ld/97ndl2223LW984xvb4/op2w033FBOPvnk8olPfKK89rWvLY961KNuu56+6sXWf+QjH2nb7OCDDy6bbLLJQPXNfnglbwiMRGBGM1gioEeiM4b3GbnLLrusvO997ytnnXVWufe9713222+/dqKsonkMp12uh1x77bXlne98Z/nRj37UGv73vOc9hQhZ1gnb4447rnz6058uX/rSl8rcuXNvM/zDlUXXNolL4yksndcEe9hhh7Ui9vWvf30rCsZLQJvgvvKVr5SPf/zj5U53ulMr1O9+97u3dVCfq666qvzkJz8pP/7xj1vBp36rrbZaefnLX17uete7ljlz5nhr2iXt0vvC6sorrywWfH/84x/bRQcoq666arnjHe9Yrr/++nYBRNxKju39ufbaaxfiAVNjd6zJ+YknQpIAWrBgQXut2ieV58UvfnF56lOfWiyEBiFV9h/96EdbsUaYqh8Bveaaa066KtZ+Y5FD0P7r3/8ub2kWxltttdW4CUdMXIfjRNtL3vt3cy39AheLtpHsiEWzOYWAdswDH/jA8oY3vKFd4DlX7b9+d43hkjwXXnhhOfDAA1s7YvF/z3ve87b8ymNR6RrnnHNOK9Lf9KY3lXXXXXe40434nvN4sdnqavzUOo94UD4IgSlGIAJ6nBvsiiuuaCfKr3/96+2qnYHidZ6q4hkeAvrNb35z6/nlJSHseOWWZaoTDY8gL+GHP/zh1jsy0kQhP4FkssDexMTzP1L+fupiEjLJHn/88a23khfocY973IgTXz/nlpfAIrYsEniV3/a2t5X73ve+7QTJU3rEEUeU008/va2fekrqeJe73KWdUO9xj3tMq8lKe5iotTePnv5KONutsFNgx8KipAoMfcCr/o2fvkG4OJbYqzwPP/zw2zz78vWbXMNi5wMf+ED5z3/+c9uCjlC2CHUt789rdhoOOeSQsv766/d7iUmZH+/PfOYz5Qtf+ELLnid37733Lpttttmk7Jv6D1vxoQ99qJx77rnlEY94ROsN1kbjYTNGayRj2KsuqEa6HqZf/OIXy6c+9al2Mfj4xz++vPrVr24dCc7vc4u12bNnt/15qGDVF4nwr5xwQvlkY1/uda97tXbdQrEmtueE5nP2R9+0U/OCF7ygXXTWPF1+ciKZA3/1q1+VbbbZpjzxiU8srjNS3bqcM3lCYLIRiIAepxZhnBifb3zjG62HlCF7yUte0nomTZZT2XAQFcIIfv7zn7fbzB/72MfaRcGyqhO2jDnvswmEUV9SCIct06997WutyCWOdt9999ZjY+u4Nzl3ncC8r04mnqGTT+8x8pu4fv3rX7ci7IADDmgnXNfpTc6tHwgN+Mtf/tL+zjts4rIQGclTjDfP57e//e3WI1kFtHAg9TfBK4MJyXav69gC1v9e+tKXluc973mdPZmOJR68/K7exKPXVEjKbMvdpE+IXn755e0OkHANgkK/8ZJP2xIXXsbkne9859bDjyOPtO11Xn35eYXtHD3mMY9pWYzW17WFUJ6zzz67XdTxWta2tdgjyn7wgx+058VXKJc+bFEkxMFWufeFmTh2tGtN9jbBAj+e0ve+972tp9TuCPuxXRO6sNKQMTIZ6qPMxlz1lms7O27aZ6i96C2vPkWQai/jZSLbTRn17X322af84Q9/aAWy8Av9U/rTn/7U2mf9XqjMIx/5yLYv9dokY1w+u6MWl7zX8lWPt8/ZKqFpf/vb31r78va3v73dRa39ubf+o/1uh46jRf9XHrtjbPZUsSuj1S2fhUAlEAFdSSzFT4aU8TnjjDOK8AZbYDyS4tlMzFM9mVze8Y53tCKNMWSAxfFN5ITRy8wkZdLgBceTV783Jrg3b/3dlqit+/PPP7812k9+8pPLHnvs0YY6yGNCcl4iSx4Th/d4AOc13kAix6QxtI7amji3ODIJVeHzoAc96HaTrXMRVd/97ndbIW/L1bEmZCJJ3yDgHD80mSjFnBPF8pvQTHJENcHl3I41mdp+tevhfCZPEyrhJ7xltOQc+qz6Y0s8Cg3hcROvT+ATmkPrX8+pLr1ppHy9eSbid/UgCg5oFjG8XhYsdTxqX3WUTNzCYXbcccd28aeNefcJZYz/+c9/ttva4pMl9y0IzRnNA1mvQyTYkbDA0Z6vetWrykMf+tD2mvoIMYav/JgKYyAmjCWecjsZPnvWs57Vipa2AFPwv9rn1dUi209jiAfzhS98YduHl1c/GQkn7saAxfknP/nJ1iZoB+PbmBupvOrKDnznO99pxyKxvaT8+mLtj67r3PqlPrMkYamM3/rWt9qdN31cvLwdC3zFK9vlMP4tXpxXzLLdkxp60dazOe6QxoaIfxZ7r42EjVQbZAeH6LXzpX7CD+346afKNxKL4dh+7nOfK0cffXS7K0TEP/vZz25FtP6fFAKDQiACehxaklEkwHgKTZiMEwFE5A2CwbAtLmbOjUCMoZAFNz1VwzsOCEc9BYFoMnBjHSH8yle+sjXqoxn0P//5z61QIf61gRu1CG+iyWRCuPzwhz9sPbp1a9376kSkP+EJT2iNvsmj9zomFuKc94eYld9EZpuyemmchxgVaoEZzzAhttFGG7WvsxpP5U7NjTuExXAxr8ScRYobzpSdOFZ3goQoJPp4msWUag/lwIRIN+nxZC5p4aZ8vITf/OY324WfCbrW3+SsjS2Sej1YvY2kHPpF9dZWL1ZvnmX1u7JgrG38TmBgoV1469WLULALQRirUxUE2lYdxJwfddRRrSjSJjymtvFHG7/GvZhZ4ouQUgb53SRnh8J59BXxpLzTyuF6wp9e9KIXtSE3/uZBdy6LMP1kqibs9VP3KKi3dhCniyUv/7KyF135aQ/c7fS4n4FNcGPeAc1ibEnhBsQzAUq88rBbzKprtQFDy8CpIuyKk8VcgZVFusUq22Th3mtnhh7PI8xj7Fh917W23377dvFl/OvD6lP7mAW0/m+3q/ZxO4j6onbR/57//Oe3Y6Felwhn5y3g1eM5z3lO2Xnnnds8bM6S7jnpLbOFqPEkLAZLY2/rrbeedH2gt8z5PQT6JRAB3S+xYfITYO5oZkyJj1e84hWtJ9BEXY1T72EmeoabEWX4GKvRvBe9x/qdkXQOP01KEz0xEUr1KRzKajtOmMCSvCZDyz2Wv9XTDVi2wbHiVX7Ywx62xGsT0NrBRCdtvPHGraAlpEw44giFYJg0iR6TAxHJayxpR7sJBGnvpKjN3FzDK2xSxIDXxkRVxZZrElViQE1WYpJ5tfx0Lh5HTIleE9PQdH4zSb6nmchcR7IQM3Gqv2s85SlPKbvuumu7UNP2hDaRYqHBE0Z8jyTE8FTHz372s60nymSpTnXydT19UcwiT2otn8/lcw1slU2Z1I8QUH9eVwuUXl7OtyyS8tXk91NPPbXdNVFejDz1ACNCZWi/1e7ak8DAmPfO1nXvzVX13Pips1h08dVurOUB573zGW+2WN8qPLDWj+Qz5iVtSHTpY8pmkadMdlgIo4kez7Uu4/lT3xCm9O53v7t1IvjbIu41r3lNuxDBZbIl7UHgGS8Wk2zD6173urJjs0uxpPLa7RCiop9JFltuthu64MbBNSwqPA3GIst19VHtbI4Qy8ym1v7Qy0k+fYtH18vvjnNfjTKwX87nPf1PfnOO3ZaPNgJ/w2anynsWNLzJbAVbqH9vueWWbb9zHDtgh4tTwRjQH+ct3onTX+1IPeMZz2gXfdXO9ZZz6O/GCI84G0lAWzSOtBgfemz+DoGpQiACeilbioH8xS9+0W7T2srlTeC9q1tjjBcDxcjVnwyfbXPeCI8j4ukj9kYyTPUcruU8jCij7DxbbLHFiKEAQ6tWz6McXgwtw1tfQ/PXv12PcRVTLK/tZxPNSOWtxy3tT+V1bd7nE088sRU2JgHGfEkJH+1A7KmrstqiNTHabsfe+e92t7u1nmaiyeTGa8JTREQ63sTYO5maXAgtkyf+JhqLJ+LYNZyTt/HARjRd0AhMW6i8Op6i4XMTixurnHOkpy4QZLb9lV1714Q9r6YyumGwXu/LX/5y+8hEolx5CTFCdmjCQR8yEX/+859v4xP1AXWo/dM1iADinlDHQZ2UW5+18NBniT7vSY6Rzw1iwkf0SeccbvE4tEwT8bfy6jPHHnts23+w3rVZcHjSxXDl0u4WZhZU+NgpIIa0mTp4OSd+hAYxzGtpp0D/9L4kn/bBV4iNaznOlrnxwz7g7L3e5Dj8sLPzgedUS/qDsckTr19YRHm0o50atnCyJW2gnIRtvdHRDoB2J/iWlCyS2QB9QZ8xZpyHcK3tx1YQkLiwKfqZtsamN4/xQkDXMBDjuib9hfeZ4GUPhvYdfczLOTgGCGrntkPIK06UqycbwU4pk8WdhY3PJJ/rzxwBRG/t77UM/rbgE4bDK62vdk3K6/ikEBhEAhHQS9GqjAMPF0Nq+4sR5eXasfFg1MmTqDHR8s7Ygv/Nb37Teu7qxGtysY1n8hzJc8eInt/E6XqaAHFGyDCUrs9TaIufp3A0QyUvQ88TIcyEEGBoGXwisgr+4XBUEVtjNS0ShAmMVN7hzjGW9wgTW+RCL5R710YE2XasXtHRzmlXwJMPeK9NEOoqjtvjzAgrf9vOd07X4ZmxQMAGK95H+Yl1eWsyAWkHXkXX0M6847ZTTXwYm5SJde32zGc+83YhJ66lP/DG8NAN12ba+IBmG9mEWMWZ6xOCwgNMfoSapH/ZluU5kpcoFz5QJ8c20+L/qvivj7BSL+FGyqBM6k14W9ARPnUb28QvlptHXZlGEoHO56ZGCw9PPenl1luOifxdHdSTIKnxzCZ/Y3S77bYbtkw80D4XfuB35cbBoop3XX/zPo+7cAu/a2fX8qqpikZjudcTKb8+Q8TUxUc9pv7UnkQ8cbM8uNVyjPUngahf6R+Y6NsWDYRdryAc6/nH+zh9WFtoKwthbawP2KnoXTCPdF1jwniwk8M+Gs/qX++FMBY9gUKYB3utv2hXOyDsDvvChrMVPnMOi2LjXh4JRwsTdsz4ds2hiX2yI8cW1Rtg9SX2yThmn9g0OwPqqz+rs4W28uDAJgoPEfak3OqiTF6Sc/BaW1TbZZpouz+0jvk7BCYrgQjoMbYM48bYEF28XTwShKVVP2PMW0Awi8E06TJOjCGjxCBZxbsD2pYtAWuLa6iYcn75hYZ4usf5jYg2Gbu2CZrHT0zwjo1gZzSHHl+rRlAogwm8fomD80iEFmMuJMPzbofbZmO4TQRuLmFweVvF96rnSNes116an651zDHHtJMUESxOURxdFwPO2+eueo9SUlflJC55j7WFOphE5CNYCXTtg6t2tF053OMHsSS2TUi8NdrS9r8vI8DOlr3FRf3iCDeiuaFUPqn2G+UZSSgJDbAQE6csf008oxYTHglGlODD094bY0s4jhRbbbFH1CgbnsqkzOrkd/0JIws6ISDKZ2IXJ00oqG/vpKoM6qEcziGZoAl429JdhEit23j9NGYsDpXBolUSnsO7RqAM11+V3VMy7Eyoo6Tu9eUY7aCezt/bJm3mxf/hwYOszXvHo2Ncwxjk5Rb+YiwTUBLRyR6wHRbEI/WLxZeZVD+wYB8sGHlg9SvjU/sLZenlMJkKTnAK3WAP8CZqtRub1oU/m8Ime4KKRay+LuTJ+FF/bS0GWYhHHWsWlfLwNBt3jrMwNbaUx6KNiPe5Pucawj6Uk53Sj2oyXi1w3QvBhvNy1x0x92PwWBvDxqvwOzsDzmeB4DOOE8l17XaxafLqw65vbnI9/ZJNtJMmlKwrn1rO/AyBQSYQAT3G1mVcGMm99tqr9UwxmjwQjIy7j02UDCTjyRgysIwmY0c0e1oCg2qCYQyHm9gZPF4FzzwmfkzgDBoD6Xeij2dAfC3D6Py9xl8ZGUUeBuKAoDeRm/Rcr+Z1fYLygMb7Yet5aDJBei4oQ+98vEqEGKNazzH0mKX9WxmVlRCyCCGChB2M5imv13QscUJw2z6vbWCCstAxSWDlJ47yawfxzradiXTthIvPasJM/S1CCFntr/4E62677dZONMSbm0l55IhJ3tiHP/zhnTm5Hm8TAa3+NbkOkW6SrwyUhZdLv1MWSfgGETZ0kaEv8ESZjAk4f8tjcuTxMmFaUGhTbNTV9fVjC4QafqAcJlFiXnks/DwdgIdV2R3bK55q+ZfVT/XiTSfebH1LyktECMmodesdb/qAdrMQtiVfx0hv29fyq7+XvqGP4GebvvYx71mo1gVIPc5P53Nu48nYdozFMXvBPmhbOwzOP1US3hYAQh/YGVz0e7bEDXnGWL8JJ6+J4qDM7CrPLtFJTPqdXVP+LokdYQ/ZJO2p/TBgP/Qtj1UUamVB7W/zgvYlTtXL2LWjwUYJJ9MX9B1ilhfbMT63C1ZvHq7l8hl75ckWxjpnBpuBWY07N57Vha2ys8EeGu/skcWCeQQHi2l1r4t1uzVu+Ksx/K7V+6plyM8QCIEmbK8ZdP9fIYRIZwIMHqNl5c+YmiwYOwbTV3if33iYiL56AwXjbEvYlpsJ3cSypAmC4LEVR0AyuBJDbcKXGEDnYPSINsLc5zUpo5tjeEl44+o5HEMoEd+EEUPNC8648tINTSb7YxpPcH2A/7zm5hKeEh7LrhPO0HMu6W91I0wIU8af+LEIMMkw6KMlx/Iqm4zqljKhw5uqvLYhCT8eZ+dTZ+e3oMGvt12ci1fShCOvxIMtbOaCCy5oy4IdgSYcghDTD3iRnUtsu7jBoYJ2pPK7Hq85vrWd64TJe9X7LFXtKzZcf9MHJZPhjs2ORG8dvC9v/RIG9db/TNS8424A1E+x6WVLgDqfCV65fEYYioV0nP7tfSExhIDyqrMJ2pYw5ss6MWfamVhRbmVSL7ssPPdeFiDKiYExYaGLny1usaD6u7+dpzdhqo2NYX0GZ33CApdQcS4CnRD3qMLRxKNyahNhAFVAW4yLOx/adr1lmGy/q7Py8z4TkuwK8cUTq0/1WxdcquOBEO/3+CXxcX7lJDr1W/336U9/+m03zPb2/5HO5RweWcg2swHOoa/bpXNjnkWSBZw8+OhvwiaEWrADbK6+yWtvp1J+12XHeYfZJ/1W+YhwPFyzJueQp/ZxIWRspH5u98gi2jg1zl3DDc2uMa+x2x9pxuk6Tbu4nj7ObnEy1PGtX3OOsI9jZa/O0mj9v9YlP0NgKhOIgB5j6xHKtoUJGMaNF9KjgRgxws8kbJLmKfBi9HzGKDFeXQy1SZkIJMarmKrFdR6TtWt78WzYAibS67l5rYlO29MmDckxhBNDaXuQOGRIhYLY/uelHZpM9IwwYcAQExC8ksRIV2E49JxL+ptBNzkpE+8ID7ktUaKt1m/oORyzsCnfX5pJyQ0zbu7EjSEnci0ilJ+HlLBVdm1U20b7SPKos4WFLVjeVcKJgCWynVP9a8whZiYinmuTnQmNZ1G7YMQzZbHi/COVvdbFuY9rntJxcCPKaptrazsDJmz1qOfQxyxqiBdiTz9zbYu5mqeeFxseQp+Lw5d4kOuNRr2Tnbz6hL5TH8/mfCZl7UEg161cZTAOeOIcZ6FhwVCfo1uvvyx/KkcNrdJ3lB177UyUGQN1LMprwtfe6uynscG7p68Z5wQPttpZPyB0fIaBvmIcWUBoe8KZCJJ3SQLEmDSmjC39cKoJaP0bXzdnWqjiLM6ceGQj8B7aD2s/cKz+jT3u7nUgJtk8Nkm7GE/uIbBDMtJ56vm6/nRe52dX7d4QvsrLJvSOgZHOp9zKKzyM7df++hNPMPugn+gzRHnte3a2iF08ODROaZ7vfn5j0y3EMXBOyXkszC2S2W6hWcqozBIG+tRDHvKQ9j4IIlc9OHKUQ788oPH8+1w+9k6omRhs/Us7GZuu45zsgb7KUSNhwS5ijkW/zNVFudle9shC23w0lnO1Bcp/ITDJCURAj7GBbJnbOrdVz2ia/IRlMFRSNYr9GqHe4rgG77Eb4RhI52QYXYOYqfGSthIJGeEOhDADKRGAJgdxsowbccNLbeLnAakGnJgQ/0ygEYhDk0nODVaMtXLwqLjJjJCq1xp6zNL+ra68uRYmtllNPljwamFaJx75/O61oGFwahPTaFuydxEjvIVnr3pqTBSEIHGr7WpbmVSIIJ5IE5fJnBdHnXkaHc9bKwlb4KkhrogpIlkIhHN9vYmNPKwpq4kUHxMoQUaYuXYtv5/aRJ4qtpSBR8jkWT056u543vjqBVcGAoz32bd++Z045DGuMZTy9CZ14dHyzGNCUd31YYK7tx1dV/8Q7mERI/m8hpCYqJVXXdXR7odYUn/rW/5e3jcbaRds9Fv1rv2l8qjjsra9972HNW81D7ptd+3h5bMqumteP32mf5zfCCLjVRsTfPIuKelrdhosUqqA3mWXXW7rC0s6fnl/jinRS/QRi9jpo0LK9FPM8K2vykq99RvCjaDUd+rihR1zXseyM+wXO+Pv8UjO7braVwicBZFrGKPaTDsQfLWtXddL2Y0Lnl73glig6WPyWTSw/xbJxoUQIveUqJNjjUueeceqO3GpHJLrYcXGyesmXN5qNsjOBq41uZYFtPJyKLCPQsnstmEsbMOxwjiUVYy2HVJjnX2X10/n0WeFmfCaawvXFhpo9wwTf/eb2CCefTto6qf9eMPVST2TQmDQCERAj7FFPWqMISNCTZjCH3q/TGOMp73dYYyQiZnBNjkzijxbjCjxJ+yAwOHdYLRdn/AirhlAsXO+9cyk5G/Hmhx4CRjQmhh93gxxtyaDocbT5OFcRKdzEV6ehkHcEoQTlZSRV0fMrrrPa7YgiTflMyl4DyNlMikx4N5XXkk+W5q8KjwhxKIYV/lN9sQ4Iy+/83iZTExazl3FlQmQsCFiTU7eJ9CJH15u4TniDOvXMJuY6w1E6mDCcg7buzgrlzJ4n5dN3CThKTk38X5A40lyg4+84o3dmDivqb9jarJgmN9sn+sfXQS0+vH0WWiZfLW7yc3fvZ5tLC1WTMDOK+lv6mgCViYJN/3P8fqfpKz6oL7ZW9b2w2X4H47GpsncTgFvnPqPlvDQlryHxEjvYmW043zmel7YVD5LOobAspNBQBIYFqW8j8oxFZK+bYeGF1NdjCl2wcLe2PI3kWk8EY9sGMHNW82ueZa2cwzXLhjgb4eEY2K8mBjXFsbOq0yuQYwan9rAT95z4Wn6ssWx99lMNtDinA0xRrSzehLj1eur3Yhk33pan77hPXn1j5r8zXZaHLieUB7HzWvGuPPxcCsnPjWxu2x0DQUx9ixWXce5eZh33XXX1j47FzF8SuPtdi0hNWxpXcCzk54AwvmiLuyPR5O6CVa7jSVpa/2ZTcQZN04Fiwt2MykEBo1ABPQYWpTBt21m4mDgTLoMmZ/jKRoYRSKFqGPwmN85jQDmtWScXIt3jedYebxP5NRvCeSZYDSJtTq51+r626Tkp8TDKATFFh9jyujWJI/Jz2OMCCUGtn4joAlmopK6E3G8Ghj4W7mU28vvtZy1Ht5XPosJ3nbeVR4VrGzdEoYeOYiJ1MvA3/U8FhqMPk+qSc6EikttXxMEJsSyidZEir+kT3ifB5cnybWGltt1tKEyWogpY03aVNgNz7Iy8GbVL2qp9ZXXeYVOmAhNmMSAUBIe99589byuqR8JueCFdowymPyJN+JeHrHP+g3R4G91NjHyQPd6qrUHAUXsEyOS8CDeeOfCdnkm45Q4IOCIH0LajlGvKFF/iysLCJ5nixxtqZ4TXX59mmixQHQ9CxFPf5no645Xm+BL5KkD8aTc7IF+aAz62zjxwlzf0x76jWP91L96k/ZwrIWyhYyFq4X/eCXXZMP0WaFMyqGc+njl7vrEqvHMDnhf+Y3Laou97yk9PO6cDnUBrJzqaweH9/f8ZqHgGpIx6eW8diqMawtYnwv58phQ48d4NJ9gWvkQvkIiLOKrCFYWXmV92jVrLLfPiWqOFYtwbeJ8ni5U6+iadijtonEGCWFh+8fqfVY/jNx07FrK5lpsp3LoE0khMGgEIqDH0KKMlbhFXkaGqD7BwkRcBdZIp2UQGXEvxpSRqUZtpGO8Xw3pUGFkUrJNzRuqXLYieSsZTQKPMSPiGDfncDzj7/N5jbfD8T5XHkKQmKvPNO4tD4+lBQMD6RxuIjPh89hMVFJek5abKE9pPCk8ispuguBlZ5RNuPhVljzKmzZb7yYCk2CdyJVRW5k8iVNxzUM98fI4l3Ng4IWJ62nXoexrOw79TLnrBCU+2UJG2eWvbaBswmUsWojoocJULPd1Td2d2/XVe+j1tSkBq73Vhegg2kcS0OqnDJc2k+r7mv7iRkd9RllMdLyHfhdXzXPr/K7rfESx8vaWwblsZYv/Ndn7zMKKx0mZe/O69vJKmKsLb7pFhz5/Y1PvW5ryr9IsiixK9SMv9e0yHsejLhYddoiILO0vFEL4w7K6/tLWAVftzttq0YWxNFy7yzs0qSfeuK/ThDjcsRnTFjEWi8SpxSOxOZ48lEOfZ/M8LcW4UV52wrjXP4RTWHT5TJ8xlmuSV7mMCYKTzVf+3jq7hvOIjSeKeefVQRt74ge7YkdHWIf61/wWtMoh5M6iRBkk4pzAJdbZvcrD+LMIqE9Hsviqu6DC/uy4EbKeB20BrH41uaZ6XdbY9eub61o0GvtLmr/q8cP9rPVw8ySHjvLbpbQ4Va+kEBg0AhHQY2hRhkfcophgxljsm1gv4nWooWBUJD+rgbGNzhvKMJow/Ow1wP0UiRElCgkxBou3hogSGqCcBJa75MX9yctAipEVNsD7YbtNXKzJnIFnpJ/73OfeTtApD+PurnCCkAEXFkFEV69rP2XuN69y1xdOlVX92Xu++vlwn8mnDXCxIKhx0r3H42OSM6GY3EY6T+8xI/3uWgSG9ubl0eZEhonKxEvo15jEkc4x2vuYmOR5oD3H1URJBPd6s4c73nEWEGK6baPjQQQQBSZZk69JX/ktUnijTeDK3Zuch+dMrKZ66vu2kb2WZiLuvcZE/a5uS9O241EuoQwEtMWVcTTVQjgw0Hfs6LhxTD/XJ0ZKlbefXsYZO8VuEswWq/qbvlNF4kjnWtr3lZPIJZBdj+3z0/tsIdugfbzYV/aPs4B4ZrON2xoqN1JZzA3Owwng3Oy8+tVFQeXRe7x+yUtvp8wzop2D19nCVKjH0GOUt3r160LfOfSpY5onJyk3oY8vezZcGu+xoExezru0NnS48ua9EJgsBCKgx9ASjIM4Vd5a3iziw1Zjfag9Y8l4yGeCYQSJW95bj8mqT4MwSQi5EG85knHrUjxihxeISDMRmJTFUvrdtXkheFwYX8KNESeGXNMkQmR74oInPZjEhxN16sJQK7slwZbNBOL8Ez3R9dYfU2noJNKbp8vvztP7GnqMOrnG0l7HeXGr/UBfcF3n10fqa+j1u/5d66Bd9EMCtosXyXHanZeoPoZRGWsfVE5/Ox9voBsTiYehbS2P8AMxmxYkBIJvSZxqj2Lrynu88/HUVXbEDy8hWzCU83hfdzzPpy/pe0IGxO2yD2yOviEZQ7W/qyNngwW8+wUsIIlJ9tNYkG+8xl2XOip7b3LtOqaUv75qfWo9jAu/e42W6rnqdWrd/BwtuS7ha0wZk5wiVeAPd1zv+evnymyMOxfulW39PD9DIASWnkAE9BgZnt9su4o/q14X2+c77rhj61HhxSNqGEAeQluCHhnEk+F9xk1i1AhogqNXvPBU8hhv1Ew2GzQ3KC7JUDO2vOE8QZIv7iDueUskRrSKN9ephrx+xisqVo6RFtphghjOyDPUziPV8rZ/5L/lTkDbDNdmIxVMnzDB+pZBNyHytNU+4jz6HK+V+MX6hIKh53JNizc7GOIwhXjYmRDf2U9Zhp53uvzNw2i3iPee/RCKM9xNvFOBBxHNDrGH+oRFuz7Alliwe1mEqSfB3Cuap0L9lnUZjS0vaUn2f1mXLdcLgRC4lUAE9Bh7gknCF1MIafA7Y8fQmTB4AYkTwrQawvrT5eTjcSE4xCjbEqxG0sTzuc99rg0RcQMcz/Jw3r/eYtuG9MgujyUizp3vrc155zXe5qQQGImAPqnv2IFwM6JFHhGtL9pOF+NO0BE7IyXnsFC0OLRgEz6SxdVItP7/+7gJrapPQbBwNYZ7n3Ly/3NPnd967VwtdV1M1Z/1/fwMgRAIgalMIAJ6jK1HaIgfJYA9mokQkXonCZNJb/IZcSF2zh3RHvfkyR08vzURIjxRQkR4st1M4kkQo4kYXm1PqqgP9uc59AijeAIr1fwciYA+aqEnTtNNT/q0MJ8aDz3SbkTv+XiznUf/rq/ez/P77QlU5mLLPQfZ38asL1Wpu0a3PyJ/hUAIhEAITDYCEdBjbBGTHuHgUUCEK/EhDIKw9r7Ek+dFVPBKi/9z04xHFRHOYkZ5on1eE2+ep3t4UoTzeKyWGxTnNU/MGE5Ey8Nr7QH64lGVyzN4CXvH9J67XiM/Q2AoAf3INryfM5s+ucLiOM+h+fJ3fwTwtEBxY5qXHSI2QdiGRw6yH5InKOy+++5tqEN/V0juEAiBEAiB5UEgAnopqROsBKztb49b8zin+q1S7jL3PFyPK/JlK/Xv0W6+48n27GPbuc5LYLuRy819HgfUK7jr5Ox5wZ7tKwaRh9tj0Qhq10sKgRBY9gSMTYtpY9gXpXhaCQHtfYtaP3n7jXd/u4HQowQttJNCIARCIAQmP4EI6HFoI5OhF++SSZOolkyMVfD6Wb3Ro3mFHS8kxDdleQSScxHFwjE8zsgzp92Qw6vlUUWeAe2Rejxa8pqAPYbOY+3cfZ0UAiGw7AkQzh4RKbbcDcGEcrULSuP3+mIPPBfYNzhm0bvs2ypXDIEQCIGxEIiAHgu1JRxTJ8rRhPJIp3CsmGaPlTv55JPb2FR5xaJ65JObu9yoJQ8PFm93fVwRoS00xBeezGvCN/ydFAIhsOwIGL8Wt56w8bGPfawdnxbW3mcPqk3wt5fkPfdFeJ62BXLNs+xKnSuFQAiEQAj0SyACul9iyyC/iVU8teeq8i6bkHm4pd7JtXcC5uH2tA6hGw972MMinpdBO+USITCUgB0kC9t3v/vdxXOejVs7Txazxqcv6PGebwm1a2Q8+8yXErmpsPfb4oaeO3+HQAiEQAhMHgIR0JOnLW5XkjrJfuYzn2m/8KLGT94u0+I/TMA8V0I8PLGDpzopBEJg2RNwI+bBBx9cvvWtb7X3JCiBeyAe85jHlMc+9rHtPRG+NdIukYWxserru32D5JIeV7nsa5MrhkAIhEAIjEQgAnokMpPgfVu/QjTcnOjrlX3bF88Vcc1zJcbZc2M9qWPH5ktcNm2+2Wu0GxQnQZVShBAYWALGpcdQvvKVr2zvT/C3J+e4J+F5z3te+yUiRPP8+fPb5z/zVntsnS+rMX6He8rOwMJKxUIgBEJgihOIgJ7kDShMw0Qr5tlTNupTPojnzTbbrP3mQDcO8mT1hndM8mqleCEwcAQseH0j4xvf+Mb2y5WEbrj51yMlLXL9fdVVV7WPq3OjsLHtmdtuHrQQzj0LA9clUqEQCIEBJhABPUUat8Y782rV3+tTPVQh4nmKNGSKObAEhG94BKXnuFvwEsS+Bl24xgYbbNDW+0c/+lE58MAD20faecMjKoV8JHxjYLtFKhYCITCgBCKgB7RhU60QCIFlS4Bo9uSN448/vn0yjifn+NIkz3gmkH3+vve9r330pFAOIRu+QMVXptfHXS7bEudqIRACIRACYyUQAT1WcjkuBEIgBHoICLHy9I1TTjml/VZHAvqJT3xiK5CFXAnbeOc731n+9Kc/tUcR1e9973vLtttumx2kHo75NQRCIASmAoEI6KnQSiljCITApCfAw3z44YeXE0888TYP9A477FD233//slJzn8IJX/lKOfroo9vH16nMQ5on5ryt8U7n0XWTvmlTwBAIgRD4HwIR0P+DJG+EQAiEQP8EfKHRscceWz7+8Y+33zwoBnrrrbduQzh8e+i+++5bfvOb37TfWOqehTe96U3l8Y9/fPvknP6vliNCIARCIASWJ4EI6OVJP9cOgRAYGALimn/605+Wd7zjHe03iIpr9pSNffbZp30E5VFHHdV6pt38O6/5plDhHp7S4e+kEAiBEAiBqUUgAnpqtVdKGwIhMEkJeELOBRdcUHbbbbf2MXaKOXfu3LLzzju3cdG+odATdDx28mlPe1p58Ytf3H4+SauTYoVACIRACIxCIAJ6FDj5KARCIAS6EiCOxUG/5CUvKeedd14bqsG77BntvNNeQjd8M+F73vOe9ttD3WiYFAIhEAIhMPUIREBPvTZLiUMgBCYpgfpV3p4HvWDBgv8ppW8K5X3eY4892tjnPL/9fxDljRAIgRCYEgQioKdEM6WQIRACU4GAbyP82c9+1sY3X3nllf9T5Lvf/e7tNxNuvvnmeXTd/9DJGyEQAiEwdQhEQE+dtkpJQyAEJjkBcdD/+c9/ygc+8IH2hsKbb765LTFPs3ANnuenP/3pbVjHJK9KihcCIRACITAKgQjoUeDkoxAIgRDoh4A4aCL65z//eZk/f34bC+1vNw7utNNO5QUveEFZb7318uSNfqAmbwiEQAhMQgIR0JOwUVKkEAiBqU3AzYTnn39+Oe2009qbCTfccMP2Gwd9aYrH2yWFQAiEQAhMbQIR0FO7/VL6EAiBSUigeqI9eUMimr2EcuTGwUnYYClSCIRACPRJIAK6T2DJHgIhEAIhEAIhEAIhML0JREBP7/ZP7UMgBEIgBEIgBEIgBPokEAHdJ7BkD4EQCIEQCIEQCIEQmN4EIqCnd/un9iEQAiEQAiEQAiEQAn0SiIDuE1iyh0AIhEAIhEAIhEAITG8CEdDTu/1T+xAIgRAIgRAIgRAIgT4JRED3CWyQs9/SfOFD+2q+jviWWxaV5r9Bru4A1+3WR6XNaL75bsbiR6cNcGVTtRAIgRAIgRBY5gQioPtE7vmuXgOV1Kn5yuEbr7mmXPLDH5QF/7qkXH/RhaX5SrWBqua0qUzzrOEV1rpjWedBO5Q1t9qqzF5ttVufPdy8nxQCIRACIRACIbD0BCKg+2BIOF933XXl6quvLjc3gnNQUiueL76o/PNjR5TLf/Xzxgt98+JFwoAtFAalwZZYj8YD3eSZOXtO2fi5Ly5b7r5nWeEOdygzZs5c4pHJEAIhEAIhEAIhsGQCEdBLZtTmIJj/+te/lvnz55dLL720cc4Ojnd2RlOXu138j7LFhX8tM2++9ZvTOmJJtklMwDferXzH9cpW7zmorLfDDmXmnBUmcWlTtBAIgRAIgRCYOgQioDu21cKFC8sXv/jFctRRRxW/D1Ka1QjoZ17xz7LxzFvK7OzyD1LTllmNaN785a8rW7z8FWX2KqsMVN1SmRAIgRAIgRBYXgQioDuSv/7668uRRx5ZjjvuuHJTc5PdIKXZzQ2DL20E9FqNgJ6ZONlBatoyc9bsssmzdy13f/1+ZYXVVx+ouqUyIRACIRACIbC8CERAdyTfK6CFb9zzHvcsz3nW88qsoXGlwoaXR3RHG/R6a2VmzJzRxDGPHL88Y1aTucfTfEvjUb/6Ta8r5dqrmrdHPq4jqmSbRARaAf2sRkDvEwE9iZolRQmBEAiBEJjiBCKgOzbgUAG9/bYPKq9/1f5lduPhm3SJOB5NB/eIZ2VfdMOCcu5ujysLr/z3/xyofnNWWLF5isPUvwGteUhfuWLhjeW/N9zQ4pm7wpxyxxVXbOo8BAgoUyx57OCCBdf9zxNiIqCnWEOmuCEQAiEQAlOCQAR0x2b6HwG93YPLvnu+tcwioKe4/lq0YEE558WPLguvagR0zyP63IS2xpprl43v94AyZ6WVOpKavNlErh970SXlp3/4Qys0d9zwzuVZW25RZg1A2MpNC64vv/vx98qNN94+Pj8CevL2x5QsBEIgBEJg6hKIgO7YdtNVQK+59p3KFjs+qqy46modSU3ebDc0i4OjL7iwfPPMs9ovjHnCZpuW3e/dPCd5AAT0wmuvLWec+OWy8MYbbtcAEdC3w5E/QiAEQiAEQmBcCERAd8Q4bQX0OuuXuxLQvoyjI6vJmE1Eyw3Nf/P//o/ytTPOLIsaMf2Eu2xa9tx6qzKniRmfynXD+4ZGQP/6hC9FQE/GzpcyhUAIhEAIDByBCOiOTRoBPfUF9MJGQH+qEdAnLBbQj2s80Hs2HugVI6A7joJkC4EQCIEQCIEQQCACumM/iIAeDAH96b9fWI4/44zWA/2YRkC/qhHQK0VAdxwFyRYCIRACIRACIYBABHTHfhABPfUF9I2NB/qzTQz0l399q4DeabGAXiUCuuMoSLYQCIEQCIEQCAEEIqA79oMI6MEQ0J9vBPQXFwvoRy0W0KtGQHccBckWAiEQAiEQAiGAQAR0x34QAT0YAvpLjYD+3GIB/YhGQL+6CeEgoKf6U65zE2HHgZxsIRACIRACITAOBCKgO0KMgJ76AvqmJoTj2EZAf3qxgN5xsYBePQK64yhIthAIgRAIgRAIAQQioDv2gwjowRDQxzcC+phGQN/cPMbuYYsF9NwI6I6jINlCIARCIARCIAQQiIDu2A8ioKe+gL658UCf0Ajo+YsF9EMaAf2aJoRjjQjojqMg2UIgBEIgBEIgBBCIgO7YDyKgB0BAN219YiOgP3H6rR7oBzcC+rWNgL5DBHTHUZBsIRACIRACIRACCERAd+wHEdBTX0Avatr6642A/thiAf2gTW/1QK81KzcRdhwGyRYCIRACIRACIdAQiIDu2A0ioAdDQH+zEdBHLhbQ2zcCmgf6jhHQHUdBsoVACIRACIRACCAQAd2xH0RAT30B3YRAl5MaAX3YYgG9XSOgX9cI6LUjoDuOgmQLgRAIgRAIgRBAIAK6Yz+IgB4MAX3yBReVQ0//dfsUjm0XC+h1IqA7joJkC4EQCIEQCIEQQCACumM/iICe+gJaU3/3HxeVD//qVgF9/8UCer0I6I6jINlCIARCIARCIAQQiIDu2A8ioAdDQP+gEdAfXCyg79sI6L3ufa9yp1kz802EHcdBsoVACIRACIRACERAd+4DEdBTW0BraDHQp1x4cXl/I6BvWrSo3HuxgF6/EdCzOveEyZkxX+U9OdslpQqBEAiBEBhMAvFAd2zXCOipL6A19Y8vvqR8oLmJ8IYbbyxbNQJ678YDvUEEdMdRkGwhEAIhEAIhEAIIREB37AcR0IMhoH/2r0tbAX39DTeUe86b14ZwbBgB3XEUJFsIhEAIhEAIhAACEdAd+0EE9GAI6FMvvax88Ndnlmuuu67cbd4m5fVbb1U2mp0Qjo7DINlCIARCIARCIAQaAhHQHbtBBPRgCOhfXHZF+eAZZ5Wr/vvfsuUmmzQhHFuVTSKgO46CZAuBEAiBEAiBEEAgArpjP4iAHgwB/asrr2490FdcdVXZfJONy+vvvXXZNAK64yhIthAIgRAIgRAIAQQioDv2gwjowRDQv776mvKhxgN92eWXl0032rDs0wjozebMLs2joKd0ylM4pnTzpfAhEAIhEAJTjEAEdMcGi4AeDAF95jXXtQL60ssuK5usv37Z5z5bl81XXCECuuM4SLYQCIEQCIEQCIF4oDv3gQjowRDQZ1+3oBXQ/7r00rLhuuuWfe9773LXlVeKgO48EpIxBEIgBEIgBEIgHuiOfSACejAE9LkLFpaDzjy7XHzJJWWDtdduBfSWq65SZieEo+NISLYQCIEQCIEQCIEI6I59IAJ6MAT0b2+4sRx01jnlwosvLuuuuWZ5w/3uU+6++moR0B3HQbKFQAiEQAiEQAgkhKNzH4iAHgwB/btGQH+4EdAXNAJ67blzyxvuf99yzzVWbwT01HZB5ybCzkM5GUMgBEIgBEJgqQnEA90RYQT0YAjoPywW0Oc3AnrNVVctb9zmfmWrNdeIgO44DpItBEIgBEIgBEIgHujOfSACejAE9J8WNh7oM88p5zUCevWVVipv2vb+5d5rrVlmz4wHuvNgSMYQCIEQCIEQmOYE4oHu2AEioAdDQP954U3l4OYmwr82AnrlOXPKmxsBfb911o6A7jgOki0EQiAEQiAEQiAe6M59IAJ6MAT0XxsB/eFGQP+lEdArzppV3rTdNmXbddeJgO48EpIxBEIgBEIgBEIgHuiOfSACejAE9N8We6D/REDPnFn2awT0A9Zbt8xJCEfHkZBsIRACIRACIRACEdAd+0AE9GAI6PMXe6D/2AjoFRoBvU8joB+4WEBP5SjoPIWj40BOthAIgRAIgRAYBwIR0B0hRkAPhoD++2IP9O8XC+i9GgG9QwR0x1GQbCEQAiEQAiEQAghEQHfsBxHQgyGg/0FAn3V2+e1Ft3qgX7PtNuVhd7o1hCMe6I6DIdlCIARCIARCYJoTiIDu2AEioAdDQF+4WED/ZrGA3qMR0I+MgO44CpItBEIgBEIgBEIAgQjojv0gAnowBPRFjYA+pPFAn9sI6NlNDPQrm8fY7XSn9Zp46BklHuiOgyHZQiAEQiAEQmCaE4iA7tgBIqAHQ0D/c7EH+pzFAvpljYB+bAR0x1GQbCEQAiEQAiEQAghEQHfsBxHQgyGgL7nx1i9SOXuxgH5xI6CfEAHdcRQkWwiEQAiEQAiEAAIR0B37QQT0YAjofzUC+pDmi1TOXCygX7TN/cuT1k8IR8dhkGwhEAIhEAIhEAINgQjojt0gAnowBPSliwX0rxsBPauJgX5BI6Cf0gjoFRMD3XEkJFsIhEAIhEAIhEAEdMc+EAE9GAL6P4sF9OmLBfRzGgH99AjojqMg2UIgBEIgBEIgBBCIgO7YDyKgB0NAX75YQP9ysYB+ViOgnxkB3XEUJFsIhEAIhEAIhAACEdAd+0EE9GAI6CsaAX3omeeU0y66qA3heFojoJ/TCOiVEsLRcSQkWwiEQAiEQAiEQAR0xz4QAT0YAvrKHgE9o4mB3uX+9y/P3yACuuMwSLYQCIEQCIEQCIGGQAR0x24QAT0YAvrqxQL61MYDTUA/uRHQL4yA7jgKki0EQiAEQiAEQgCBCOiO/WC6CujV565ZNtzqvmX2iit1JDW5sy24+eZy/J//Ws699D9lxowZ5YFb3rU8bu21ygrN71M53XTDgvLn035abrxp4e2qMXPW7LLJs3Ytd99nv7LC6qvf7rP8EQIhEAIhEAIhMDYCEdAduRHQRxxxRDnuuOPKLbfcUh6wzQPL3nu8uYmjnd0sQzqeZJJmW3TDDeW3L31cufGqS5sS3nK7Us6aNavMnr1CKzZv98EU/WNR03ZXL7yxXH/zTU0NZpRV5swuc2fPnvL1u+WWRWXhwhvavtnbNBHQvTTyewiEQAiEQAiMD4EI6I4cCejDDjusfOUrXymLFi0qm212l7LzE3YuM5swAJ7MKZ1uvLGs8OF3l1nX/3eqrwU6NUO7RPDf4mab4q03ap0joEfFkw9DIARCIARCYEwEIqA7Yrv22mvLgQceWL7//e+3Anp247VcaaXBCGuY2YQ1PP+ffyt3KItK8zCKpAEiMHPWnLLJs3ct99hn3zJntYRwDFDTpiohEAIhEALLkUAEdEf411xzTdlvv/3K6aef3gpoXmfhDYOQZjUe9V0uu7hsOvPmMhg1GoRWGZ86zGrCb7bYY++yxUtfXmatvPL4nDRnCYEQCIEQCIFpTiACumMHIKD32WefcsYZZ7QCevXmhqzNN9+8Dd+Y6iEcMxoP9KYXXlA2P+/3ZdYiscFJg0Jg5bXWK/f50EfKOts/sMycM2dQqpV6hEAIhEAIhMByJRAB3RH/UAF91y22LG/e9+2NgJ459L67jmecPNmaTlBuueyy8uejDy3XnfmTMru5IW1W42EX3z1L/ZKmFoEmDGdG82/FO9yxbPz83cqmz3leWeEOd2gf2ze1KpLShkAIhEAIhMDkJBAB3bFdhgrore65dXnfOw4uN984AEHDbqhrRPT3Tj6ufOeYw8vs664t68yeWZ721KeVNeau0aixAahjx3YeiGxNe6241lplnR0eWlbdYIMye9VVB6JaqUQIhEAIhEAITBYCEdAdW2JYAf3ORkAvHBBx2Yjok77/1fLZL3yiLFiwoMxtQlSOOuqosuGGG7ae6I6Ykm2yELCDUB/PlwXQZGmVlCMEQiAEQmBACERAd2zIgRfQDYeTvndi+fQXbxXQa8ydW46eP79svPHGEdAd+0iyhUAIhEAIhEAITA8CEdAd23m6Cei5jYCeHwHdsXckWwiEQAiEQAiEwHQiEAHdsbUjoDuCSrYQCIEQCIEQCIEQGHACEdAdGzgCuiOoZAuBEAiBEAiBEAiBAScQAd2xgSOgO4JKthAIgRAIgRAIgRAYcAIR0B0bOAK6I6hkC4EQCIEQCIEQCIEBJxAB3bGBI6A7gkq2EAiBEAiBEAiBEBhwAhHQHRs4ArojqGQLgRAIgRAIgRAIgQEnEAHdsYEjoDuCSrYQCIEQCIEQCIEQGHACEdAdGzgCuiOoZAuBEAiBEAiBEAiBAScQAd2xgSOgO4JKthAIgRAIgRAIgRAYcAIR0B0bOAK6I6hkC4EQCIEQCIEQCIEBJxAB3bGBI6A7gkq2EAiBEAiBEAiBEBhwAhHQHRs4ArojqGQLgRAIgRAIgRAIgQEnEAHdsYEjoDuCSrYQCIEQCIEQCIEQGHACEdAdGzgCuiOoZAuBEAiBEAiBEAiBAScQAd2xgSOgO4JKthAIgRAIgRAIgRAYcAIR0B0bOAK6I6hkC4EQCIEQCIEQCIEBJxAB3bGBI6A7gkq2EAiBEAiBEAiBEBhwAhHQHRs4ArojqGQLgRAIgRAIgRAIgQEnEAHdsYEjoDuCSrYQCIEQCIEQCIEQGHACEdAdGzgCuiOoZAuBEAiBEAiBEAiBAScQAd2xgSOgO4JKthAIgRAIgRAIgRAYcAIR0B0bOAK6I6hkC4EQCIEQCIEQCIEBJxAB3bGBI6A7gkq2EAiBEAiBEAiBEBhwAhHQHRs4ArojqGQLgRAIgRAIgRAIgQEnEAHdsYEjoDuCSrYQCIEQCIEQCIEQGHACEdAdGzgCuiOoZAuBEAiBEAiBEAiBAScQAd2xgSOgO4JKthAIgRAIgRAIgRAYcAIR0B0bOAK6I6hkC4EQCIEQCIEQCIEBJxAB3bGBI6A7gkq2EAiBEAiBEAiBEBhwAhHQHRs4ArojqGQLgRAIgRAIgRAIgQEnEAHdsYEjoDuCStzESK4AAEAASURBVLYQCIEQCIEQCIEQGHACEdAdGzgCuiOoZAuBEAiBEAiBEAiBAScQAd2xgSOgO4JKthAIgRAIgRAIgRAYcAIR0B0bOAK6I6hkC4EQCIEQCIEQCIEBJxAB3bGBhxXQ7zi43HzjjI5nmPzZTvreieXTX/xEWbBgQZk7d26ZP39+2XjjjcvMmTMnf+FTwhAIgRAIgRAIgRBYRgQioDuCHiqg73WPrcp7335wuWXR4IjLCOiOnSHZQiAEQiAEQiAEpjWBCOiOzT9UQN/jbluVA99yUJk1c3YpA+KEjoDu2BmSLQRCIARCIARCYFoTiIDu2Pz/I6C3vFd59/4Hldmz50RAd2SYbCEQAiEQAiEQAiEwCAQioDu2YgR0R1DJFgIhEAIhEAIhEAIDTiACumMDR0B3BJVsIRACIRACIRACITDgBCKgOzZwBHRHUMkWAiEQAiEQAiEQAgNOIAK6YwNHQHcElWwhEAIhEAIhEAIhMOAEIqA7NnAEdEdQyRYCIRACIRACIRACA04gArpjA0dAdwSVbCEQAiEQAiEQAiEw4AQioDs2cAR0R1DJFgIhEAIhEAIhEAIDTiACumMDR0B3BJVsIRACIRACIRACITDgBCKgOzbwUAF99+aLVN715g82X6TSfBPhgHwV4be/f2L5zJfmlwULFpS5c+eW+fPnl4033rjMnDk4X1fesbnHLdstt9xS6mvcTjrJTqR+0owZA/KVnMPwVbf6GubjvBUCIRACITDNCERAd2zwoQJ687tsUV73qn3K7FmD81XeP/35j8sJXzuuLLi+EdBrREB37BqjZrv55pvLpZdeWq688spWSI+aeYp+uHDhwnLdddeVNdZYY2BF9KxZs8q6667bLiyzoJyiHTXFDoEQCIFxJBAB3RHmUAE9Z84K7WTqcH43Prjqf6u/3+qX+9/PHVPzDP299++hx/tM6r3e0Dy1DPL1XmO4v73XmxbcsKAVQosWLWrFUDzQvXTG9vtpp51WDj300IEW0DzQ+gyROaiJaLYb89a3vrWsv/762ZUZ1IZOvUIgBEKgI4EI6I6grr322vLGN76x/OIXv2jFQsfDpmy2Nddcsxx99NFlo402ilgYYyvyPn/0ox8tn//858tNN900sB7oMeKZUocJ3xCu9Za3vKU8+tGPLnPmzJlS5U9hQyAEQiAExpdABHRHnraoP/jBD5aTTjqpEEY8UoO2lXvLosaTeMuiVuitt956rfjbcMMNB66eHZt8qbLxygpt4H0+7rjjWqa9fWYQ4oVrbDfvs9/VSR1r3erPpQK5HA9WJ0n9vNRn7733LrvssktZaaWVlmPJcukQCIEQCIHlTSACumMLXH/99eWII464TQzde6v7lN1fskezbT27mVg7nmSSZzvz3DPKZ77w6XL11VeXO9/5zuWwww5rfw7aQmFZNEMV0Iccckg5/vjjW4G58847l6c85SllhRVWWBZFmPBrqON5551XDjrooCLEadVVVy277bZb2WabbW4T0RNeiAm+gDq+//3vL7///e/bK+21117lqU99agT0BHPP6UMgBEJgshOIgO7YQgT0kUce2Qpo3qjtt31Qef2ebxmomwhPP+fUcuQnDi2XX355K5wPP/zwssEGG8QD3bGP9GYbTkA/4xnPKLvvvntZZZVVerNO2d/VUYz3AQcc0C66Vl999bLPPvuUnXbaaWAEtJ0nXuezzz67bScCmgd65ZVXnrLtloKHQAiEQAgsPYEI6I4M/0dAb/fgsu+eb2090LfdPdjxXJM12+lnn1qO+MQhjYC+LAJ6KRtpOAH9zGc+s+y5556tgJ7q4Q3wWEieeuqp5e1vf/ttAnq//fZrY4QHYddCG7r3gWg+66yz2h4RAb2UAyOHh0AIhMCAEIiA7tiQEdAdQSVbSyACeuo/OzwCOoM5BEIgBEJgJAIR0CORGfJ+BPQQIPlzVAIR0BHQo3aQfBgCIRACITClCURAd2y+COiOoJKtJRABHQGdoRACIRACITC4BCKgO7ZtBHRHUMnWEoiAjoDOUAiBEAiBEBhcAhHQHds2ArojqGRrCURAR0BnKIRACIRACAwugQjojm0bAd0RVLK1BCKgI6AzFEIgBEIgBAaXQAR0x7aNgO4IKtlaAhHQEdAZCiEQAiEQAoNLIAK6Y9tGQHcElWwtgQjoCOgMhRAIgRAIgcElEAHdsW0joDuCSraWQAR0BHSGQgiEQAiEwOASiIDu2LYR0B1BJVtLIAI6AjpDIQRCIARCYHAJREB3bNsI6I6gkq0lEAEdAZ2hEAIhEAIhMLgEIqA7tm0EdEdQydYSiICOgM5QCIEQCIEQGFwCEdAd2zYCuiOoZGsJREBHQGcohEAIhEAIDC6BCOiObRsB3RFUsrUEIqAjoDMUQiAEQiAEBpdABHTHto2A7ggq2VoCEdAR0BkKIRACIRACg0sgArpj20ZAdwSVbC2BCOgI6AyFEAiBEAiBwSUQAd2xbSOgO4JKtpZABHQEdIZCCIRACITA4BKIgO7YthHQHUElW0sgAjoCOkMhBEIgBEJgcAlEQHds2wjojqCSrSUQAR0BnaEQAiEQAiEwuAQioDu2bQR0R1DJ1hKIgI6AzlAIgRAIgRAYXAIR0B3bNgK6I6hkawlEQEdAZyiEQAiEQAgMLoEI6I5tGwHdEVSytQQioCOgMxRCIARCIAQGl0AEdMe2jYDuCCrZWgIR0BHQGQohEAIhEAKDSyACumPbRkB3BJVsLYEI6AjoDIUQCIEQCIHBJRAB3bFtI6A7gkq2lkAEdAR0hkIIhEAIhMDgEoiA7ti2EdAdQSVbSyACOgI6QyEEQiAEQmBwCURAd2zbCOiOoJKtJRABHQGdoRACIRACITC4BCKgO7ZtBHRHUMnWEoiAjoDOUAiBEAiBEBhcAhHQHds2ArojqGRrCURAR0BnKIRACIRACAwugQjojm0bAd0RVLK1BCKgI6AzFEIgBEIgBAaXQAR0x7aNgO4IKtlaAhHQEdAZCiEQAiEQAoNLIAK6Y9tGQHcElWwtgQjoCOgMhRAIgRAIgcElEAHdsW0joDuCSraWQAR0BHSGQgiEQAiEwOASiIDu2LYR0B1BJVtLIAI6AjpDIQRCIARCYHAJREB3bNsI6I6gkq0lEAEdAZ2hEAIhEAIhMLgEIqA7tm0EdEdQydYSiICOgM5QCIEQCIEQGFwCEdAd2zYCuiOoZGsJREBHQGcohEAIhEAIDC6BCOiObRsB3RFUsrUEIqAjoDMUQiAEQiAEBpdABHTHto2A7ggq2VoCEdAR0BkKIRACIRACg0sgArpj20ZAdwSVbC2BCOgI6AyFEAiBEAiBwSUQAd2xbSOgO4JKtpZABHQEdIZCCIRACITA4BKIgO7YthHQHUElW0sgAjoCOkMhBEIgBEJgcAlEQHds2wjojqCSrSUQAR0BnaEQAiEQAiEwuAQioDu2bQR0R1DJ1hKIgI6AzlAIgRAIgRAYXAIR0B3bNgK6I6hkawlEQEdAZyiEQAiEQAgMLoEI6I5tGwHdEVSytQQioCOgMxRCIARCIAQGl0AEdMe2jYDuCCrZWgIR0BHQGQohEAIhEAKDSyACumPbRkB3BJVsLYEI6AjoDIUQCIEQCIHBJRAB3bFtI6A7gkq2lkAEdAR0hkIIhEAIhMDgEoiA7ti2QwX0tvffvrzulW8os2bNLjM6nmOyZzvzN78sH/vkYeWKK64od77zncvhhx9eNthggzJz5tQXQ8ua/XAC+qlPfWp5xSteUVZeeeVlXZwJud6iRYvKL3/5y/Kud72rXHPNNWW11VYre++9d3nEIx5RZsyY+qNCG1533XXlDW94Qzn33HNbhnvttVfZZZddBqYNJ6Rj5KQhEAIhMA0IREB3bOReAX3zzTeXjTbaqGy7zXZlxsypLxQqgssvu6z84pe/aEVDBHSlMrafwwno+93vfmWzzTYbCHFZqVx++eXlZz/7WVm4cGFZccUVy/bbb1/WWWed+vFA/Pzxj39c/v3vf7ftFgE9EE2aSoRACITAUhOIgO6IcMGCBeXII48sxx57bCGgeWXnzJnT8eipkY1H8aabbip+WiDwQK+//vrxQI+x+YjKQw45pBx//PEtU/1l1qxZYzzb5DzMWPDSZ4wJ9Ru0Ot54441tHXnVedh5oFdaaaXJ2SApVQiEQAiEwDIhEAHdEbNJ9KSTTmpFpW1dHsZBTESC13bbbVf233//stZaaw2Ux3RZtpk+8vnPf7588pOfLDfccMPA9pllyXR5XcuY4GEXrmJsDNrieXlxzXVDIARCYKoSiIDu2HLEkNjg7373u+WCCy4oBPWgJjG6D3nIQ8p97nOfCIWlbOSLL764nHzyyeWSSy4ZWAFdF5NE5qCm2bNnl7vc5S7l0Y9+dJk7d+6gVjP1CoEQCIEQ6EggArojKNlsVRPOtuZtWQ9iIoJsxduiJhoGWRQti/arfSYe6GVBe+KuYUyssMIK7cvvSSEQAiEQAtObQAT09G7/1D4EQiAEQiAEQiAEQqBPAhHQfQJL9hAIgRAIgRAIgRAIgelNIAJ6erd/ah8CIRACIRACIRACIdAngQjoPoElewiEQAiEQAiEQAiEwPQmEAE9vds/tQ+BEAiBEAiBEAiBEOiTQAR0n8CSPQRCIARCIARCIARCYHoTiICe3u2f2odACIRACIRACIRACPRJIAK6T2DJHgIhEAIhEAIhEAIhML0JREBP7/ZP7UMgBEIgBEIgBEIgBPokEAHdJ7BkD4EQCIEQCIEQCIEQmN4EIqCnd/un9iEQAiEQAiEQAiEQAn0SiIDuE1iyh0AIhEAIhEAIhEAITG8CEdDTu/1T+xAIgRAIgRAIgRAIgT4JRED3CSzZQyAEQiAEQiAEQiAEpjeBCOjp3f6pfQiEQAiEQAiEQAiEQJ8EIqD7BJbsIRACIRACIRACIRAC05tABPT0bv/UPgRCIARCIARCIARCoE8CEdB9Akv2EAiBEAiBEAiBEAiB6U0gAnp6t39qHwIhEAIhEAIhEAIh0CeBCOg+gSV7CIRACIRACIRACITA9CYQAT292z+1D4EQCIEQCIEQCIEQ6JNABHSfwJI9BEIgBEIgBEIgBEJgehOIgJ7e7Z/ah0AIhEAIhEAIhEAI9EkgArpPYMkeAiEQAiEQAiEQAiEwvQlEQE/v9k/tQyAEQiAEQiAEQiAE+iQQAd0nsGQPgRAIgRAIgRAIgRCY3gQioKd3+6f2IRACIRACIRACIRACfRKIgO4TWLKHQAiEQAiEQAiEQAhMbwIR0NO7/VP7EAiBEAiBEAiBEAiBPglEQPcJLNlDIARCIARCIARCIASmN4EI6Ond/ql9CIRACIRACIRACIRAnwQioPsEluwhEAIhEAIhEAIhEALTm0AE9PRu/9Q+BEIgBEIgBEIgBEKgTwIR0H0CS/YQCIEQCIEQCIEQCIHpTSACenq3f2ofAiEQAiEQAiEQAiHQJ4EI6D6BJXsIhEAIhEAIhEAIhMD0JhABPb3bP7UPgRAIgRAIgRAIgRDok0AEdJ/Akj0EQiAEQiAEQiAEQmB6E4iAnt7tn9qHQAiEQAiEQAiEQAj0SSACuk9gyR4CIRACIRACIRACITC9CURAT+/2T+1DIARCIARCIARCIAT6JBAB3SewZA+BEAiBEAiBEAiBEJjeBCKgp3f7p/YhEAIhEAIhEAIhEAJ9EoiA7hNYsodACIRACIRACIRACExvAhHQ07v9U/sQCIEQCIEQCIEQCIE+CURA9wks2UMgBEIgBEIgBEIgBKY3gQjo6d3+qX0IhEAIhEAIhEAIhECfBCKg+wSW7CEQAiEQAiEQAiEQAtObQAT09G7/1D4EQiAEQiAEQiAEQqBPAhHQfQJL9hAIgRAIgRAIgRAIgelNIAJ6erd/ah8CIRACIRACIRACIdAngQjoPoElewiEQAiEQAiEwNQmcMsttxQvacaMGe1ratcopV/WBCKglzXxXC8EQiAEQiAEQmC5Evjvf/9bLrvssrLiiiuWO97xjmWFFVZYruXJxacegQjo5dxmixYtKjfddFO5/vrryxVXXNG+br755nZA3+lOd2oH98yZM5dzKZfd5XkEbli4sJx7zjllvfXWK3e+853LrFmzJqQAroX92WefXdZZZ53brsUbkRQCIRACITB4BMy5V155ZTn++OPLj370o7LGGmuUPfbYo9zrXvcq02muHbyWXfY1ioBe9syLAexFKF/6n/+UX5x2WvnZz35W/vnPf5YbbrihfX/VVVctD33oQ8uznvWscoc73GHaDGyi9rzzzisHHHBAedCDHlRe9KIXlZVXXnlCWgn/X/3qV+XDH/5w2WKLLcrrXve6duESIzohuHPSASRQbZlF50QtdCcztlp/ZVT/LL4nc2vdWrYbb7yxfOc73ymHHXZYufzyy9s3X/nKV5YXvvCFZc6cOZO/AinhpCEQAb0cmuKqq64qF1xwQfnBD35QTjnllHYbyaAmHr0khtjK+DWveU159KMfPW22l9TfQoJBI2rf/va3l7lz505IKy1sPN28EB//+MfLaqutVj70oQ+Vu971rtNSCEwI4Jx0uROwICcKJmJRSDyyZSeffHK53/3u146d6SQg2SphAMTYvHnzyn3ve98ye/bs5d7mKcDIBPRZO7377LNP+f3vf9/uQBobe+21V3nGM56R9hsZXT4ZhkAE9DBQJuItA5dI/sMf/lC+/e1vlzPOOKNccsklrSfaABaHtfbaa7fC+aKLLirXXXdd+x4P9Ete8pKyyiqrTESxJt05TUoWF7bUNtlkk/Le9763XUhMREEJ6G9961vl4IMPbgXGO9/5zvLABz4wXoiJgJ1zLlMCdlcuvPDC8tWvfrXsvPPO5S53ucu4e0fZM06Aj370o+XZz352u1s2EUJ9mYLr42JsOnv+1re+tdznPvdpRdlE7Zb1UaxkHYWABeWJJ55YjjjiiDZs0oJP/PPb3va28oAHPGBCFpqjFCcfTXECEdAT3IAEIUN77bXXlu9+97vlM5/5TOu1McG5aYHn5iEPeUjrvVlppZXKCSec0HpFxeb6+wUveEG7teT36ZDw+r//+79CzG655ZblXe9614R6oH/4wx+W97znPS3avffeuzz+8Y+fNt7+6dCfJqKOdUz7WRPhaDIezQMrP9Fp7Mvf6xn2Xj3feIQCWIB/7nOfK1/72tfKm9/85nZhON7i1n0bxDMPtB2jpzzlKVNegGiH+qptq015lvHrZSgfZ4hQAAvv/fbbb8yOjtr2o/WfWp78HDuBv//97+2C549//GPbztr17ne/e3nLW97SLjLHfuYcOR0JREBPcKszsueff3759Kc/XX7yk5+0BnbzzTcvO+ywQ7n//e9f1l9//dY4L1iwoBXOn/3sZ9ttQcVyA92b3vSmss0220ybrSWLDSEVQise/OAHt5OS8IqJSJh/6lOfKp///OfbiZHQeOQjHxkP9ETAHqBzEo7/+te/2q1gv9s9MlbdiDpSHHAVz1/4whfKj3/84za+f5dddml3nXz2n+ZeiB80i7mtt9qqXUwvbSjAX//613JAcx+BXa4PfOADrYd0vMWZMtshshX+hje8ob1nY7yvsay7zT/+8Y9iUe0np8eCxmO53rrrlkc84hHlHve4RxvqVcvEyfGJT3yifOUrXymPfexjy5577jmm+zW0P8+oHTG2rlek12vl5/gQEG4jVM9NhLhzYj3qUY9qQzjWXHPN8blIzjJtCERAT2BT8zaZyHgoGGQ3xT3sYQ8rG2+8cVlrrbVu83SKozv22GNbQ2xgE90G9hOf+MQ2lGH11VefFkaVQTNpvepVryp/+9vfWo/WK17xiuKGyolIWPN083gTQYSGHYGlFS8TUdbxOifG+pfJ3+/qnQl7yXQxs+By0+kpzX0LPFnGrfcw3HDDDcuuu+5a7n3vew/LE2siSUz/L3/5y7aPveMd7yjbb79967U+6aSTWjH2hCc8oTzvec9rhdhYxSi743yEgpCCj33sY2WzzTZbciX7zGGMHnjggeXSSy8t7373u8tWjfgfa5n7vPS4ZzcetOn8+fPLac1N3cSsNvMyPjwRiCPjOc99btmwWSyxETjvv//+bZ945jOfWXbbbbd217DfwlmIfOlLX2pvnn7MYx5THv7wh7fnn6os+63/ssivHbXpUUcdVSxitZ1kZ1f8s3E3XXZ5lwXv6XKNCOgJamkD9uKLL25DEMQiusPXStcTNaph5G11Ew4PKC+GbddqsE14xB1vdc0/QUWdNKclUmytucGDOHnxi1/cxlZOVFxh9dL96U9/auPg6tM4RvIiLktQ+oH+oe3razyu77z6HOEjxlzsqj45yIuGpeVGXBGJX/ziF9swLPzqAsS5tY8+86QnPam89rWvbXeZhhuz2J955pnt7grPtYmb8Jb3N7/5TesxtoA89NBD2xtox7qwMXbYDjteHs31wQ9+sF2wLy2H3uP1zV/84hetB9pi39jhGJiKSbtYCFlwfO9732tjY9WjN5SGbSKwnvzkJxeLevekOOa5jaB2U5r7VJ7Z3K+yUrOY6jf99re/LRZT5oltt9223XVct/F6j7X9+73+dMivv3rihnC9n/70p+08a9xxzghDcsN6bOB06AnjW8cI6PHledvZGNxvfOMb5Zhjjmm9QDwLvBTEoIHrcx4Pn3sWpQlVYrQJG/F0vFnT6bE6PATiKQkIfDxW7nGPe1zr4bsN7Dj+gvv73ve+1rDynpnEbMUv74mrTuh2LYgTYT5+DifK+sVhIvGUEzc+WTjsuOOOrefMgm08zt9veaZCfos64/SUxvPcK5yHll0crDAg3sqR+hD+ziEZ25U5j5hHWfJ+Wmxr85HOMfS6vX/rO7zkYjrtsPBmv/SlLx3XXRzXMFZ5a8VZ21nTnzw1aCombUK8EsGYSXb93INByF5zzTXl3HPPbReens3Po++G79NPP71tb8e/8Y1vbMO/jNN+01/+8pfW0eKGRIsQLIWLRND1S3Lk/OYTfI0LdlUyvjx1ScigBVEdiyOfJZ+EwO0JREDfnse4/GWCufrqq1txduqpp7aTjZvTeJyseE2WvJ+HH35463kinhlhEyohI4TBI5FsDU+nQc1zZnJy45MJzCLigc3kPLtZVGAqMXpeS8OlCgDxz2LTtcdOO+1U9t133+X+zG3ChGDj7bRFbkHFS0lUMfZLu6BSd/X15TFHH310+8QTz9q2uOsi2Go7aIulaQPHT/aEE+Fk25eHmMcRI2NYqI8FLm/WWWed1fbPHZvFCCElPGtJLHHs5Vf7pDAPk3mv97OKbiLPUy/Ob+6pEArmPorep/M4h9dBBx3UjiF9yU24QgIIO+chJLyUzzW8+k2uQWjytv/5z38uu+++e3n6059+u7L0e87lmV87u8FbPLc2NsY8g5+gJpRxPO6449owO4sfY1MbC83zFB8im8d/rKKXQHfvi/NysAjz2W677f5HQNf2VV5tqD1rO9bFWG+fWp5Ml8e1Kx9cJGzw8NJu3/zmN1vnjHlGMr8+//nPb3c6/Z4UAv0SiIDul1iH/AawQcpD45E5Ji/eVF5og9yEa8vTRMgQGuAMp0mZt4hQ4n1YVsZQmRgYZTFZSAyyV+9E3qHqY86C2cWNZ/QD739/GyNqgvIEkuoBMmkwiAQDLw0PHZE9Fi+Na9mG53H++c9/3nJ+znOe0wqB5bVoqcbfdi6vuC+TUU51ViaPM9y1ibFdUpye89Q0Wv8h1Dwusd7Qps+Nll/fEF7gEYMmfJ56ntY6cddrDspP44FgFeryu9/9rh0X2kJ/1C/dVGaMi4ElIrHzFIrRQjj6ZaMt9QGLceEY7EkNH9H/LTBt+dd2k9fNja9//evbBTqbckzjOddOjvO1xfqXviVsx9N/hIgZQ8a9+mhnz13Xz9R3uCSPnSI2TNjZIYccctu9A8pQyy2fl/NXsT7SOR0nLwGrLOpkoVKPHa4c4/We6wmhI4j9ru5CMywslUF9PA7Q4l75McVK33ADpUfY8WwaE5K66D9sVq23eji2tlVv2dWbV9QTmuQxzrVv7+LG+VyTt/rXv/51274cL9pqo402auOzhSG4CdG1Jiophza3gLLjMJ735+DshYeE1ZLmn3qMdhNKwz6xa87BGXXPe96znX/9rb/aFdbHJOW3aBr0+17ayua/CSEQAT0BWA1qk56Yuu9///ttHKJtOQaWAfQ+DyBDKzHSbhgk4sa6dTvWaigrg8jTZovLXfsMFwHrKSG8bL2GvMt1nHNoGm7iqHnkFy/OW//JT36ynejlNxHUCbnmNcGY/HnfPMXANqv3+kmMKY+i7fZ///vf7YT56le/uvWiue5oZe3nOv3kVU83Ex3QPDlBnKyJyl3hnk1qknKXv8ctEazDpcq8TnBEt4XbaGwc47ryLKnOwj7c6KQ/69u8bZgpU7/9Y7jyT7b3CFHPBxfmo7+oo4Ubb6uQBe3g3gX91cLCws6XHumTlXltk1o3fw/Hebj3HKNtlMMNxiZ+Irie0zF2TJ72tKfdxp9gEwbiZlhiwti1SDS2ed/8rPdZOD8vp6f8EGHfa9r1tOZmWuKCKBfPPdwXGLm+BRTxzhGgbxJ+FhYSISheXH+xACHy2LdNN9207cvOObS+zonhOeec09oAZcebuOc9r3Hi7QUm4D/i6xsNnw83nnsLSwIa15e97GW3PXWDs4PIVk8LJZzFlhO1vugKDyzU1+4ikWvB4lwWMETavObLVkYaKxgYuxK718tIPzBv1K+edk3vOUY+/Y29tqjzZSD6ae/x44XM9YQd2iFUP7tWj2p27sYS9z20TM6tHfQb1/A7+6cPD+XReywOYpvZJW3CrmtD9fdUHLu+xqvz21Gw2DWeJW1ih0a+OmZ7z53fQ2BJBCKgl0RoDJ8boOLjiCGTXr0ZziDlXTyliaU0kUkmF8KZMTK5TKT3oLcqDIpyEs08K7xSJsZqxBl6D5jnEfdoNxPBaIkhcz6Gj8AyCfpdfUw66ukcGFTjrgwmHF5Q4oznwLHONVJyrBeB6AYpD8AfLea09zyu59wMrMlQCIN2MPl4DFd9IoK611fv8RP5O/GjX5iUscNJvzFZ8yQO3dbvLQvRYwFiYiNC1En5LTLEwC5NbKr+YJEhLEBsrWvhqD31DVv3S+obvWXt8rvz1z7SJf945nFt/Zg4FuJjTGC5wQYbtOEZW2+9dSueLTTtKhGMjvG5tqs3/WpPxxLgBAEx6RhCkndTmwj/IBLqUxd6J3HcCQPnZEsITH1XWdgJfYL3mwiurAgr4SZ2vVzf/QM+E1etT6lX79giHJyfN9GiXjuri/PzpNsxc73e5LzKI8zA9VyfCDHOPf5NKIJ6G2NetS31X31Ff/S7pCzKxMOPNXHDXnpfuS1SxJVbqIk97uXTW6al/R1rO1F46t+uK4SDJ78uDORhq5RL+XgzPQNamWqcucXOMY13mrhUD3WTLGS1szAsbYJVl7q4Dt7Cdr785S+3IV2Yer83KZOXcchWuwlb/+hyjd7zjPa7a+qDFmTqp24WmFXgjnbsaJ/V8WZ8WCjqq3WRx8YLVao7kUPPg42FjUWsJ9s4TjvVPqfvGm/6uPc8JUW7SNj4e9fG2+86+CWFQL8EIqD7JbaE/AYqQ+tuX4LIwDysiXWe19wYyINggvG5ZKIymT71qU9tJ9RlNYir0eJBOvLII1sRzfAwOAwvD6+JxEQ4r/Ga8NTy9A4tn/MwYjwthISJ0BaxibAKLfU0YQoREGdcPared6zHbdmaJhaczwQh2Yrksa8TuLwMpHz13M7LSyS8wSQ1UnJeE4Ay8lAon0mJp8z7zmMb1oLB9XiSbG/b/jOZDq33SNdZmvctNghgd4RbRCiHR4MRwdpkaKptqA76mUczEULOUydYDE3utqJN2v3WwyRJFFhguUYVEK5t0rHwMwlVQTS0jF3/Vl7tq/xEnP6Eu3ZwQ6161H7Q9ZxjzWcc+JZQAkkMurIRP57x6z4G5dIPxcQSfX73nicz8FoSMZgRGYRs9aY5L576qfFle9l4IWIt3tzEWusonwWR83sqhP6u7XDwJB9tbjzh71ySNnGMsSqGXlIW/aGKCudX1mp/fDshQWQMKqu6EBb6G7HL267f9CYCxLe4if2VPMVFHCnxfEwjHrWf8g+XLHhxtWDFlSBznHqqUx37vcfqAwQhL6+yT0RSFgKOLbHQwNpCCJuh3+Aor/5BbLNF+CufPsKOCenAV3v0JuyJcTHyFh1d6mKBQqRb6LMJ2lHSJl7aV98wdjBXbt56fWC8v1ZcW9kFsUBzTY/0q19y1a9d6eXivB4jqo76by87fVH7G1t2diozbaDOnAVsEyeQfo65sjiu8je+zMXmOtdwfp/b6bUrzAvt76QQGAuBCOixUBvlGEaOSKuPYmOIidT6yDReKAaA8SOcra7rV3iPctpx/cj1xYqZBJSL8VUeW7eEo5g6E6WVPaPmBhlCrtdQOofjPMqKYSUYCG7vew1NDL4JhHEnop2LMRM/yfsjXMTEZAtPYqB5+Ag1idE2uYm9JH5NtgwfIaKcJv3e8jmGEfVSTmJIjKPQGcbWe72p14ia7DBQb3GFVdj05h/v35XJZPmRj3ykZa88th5tseM2tG7Kb9eA4FYn4nO4RJjZ9RjLNiXmJijeL9fDmFDQJwjBXRvvDYHu/cq6/jQOtLl6KPvQ8iurvPqK0BXeWH3J4oaY8pl680ARaBY3vW00XF2X9j3XJCK1u+1gfUy5iUmTOLEkjzLK46ekjwibMI6NfTemWkhWb1etP2a4mPy951wWiSZyCzi8ahmqSFUeybE8mEIrCAnMvSoT7aPMxrRyO09NriUvrypPHeEn2fLnaWafTmkWSPogcUt8EedDn+vsnJ7cckCzs6bvEfREJ++7LxQhZHqvW6/vpzI4r5hT18DAgpHo1t76QeUkv/N4qaudIYtJCzV5JiIRckJiavgUu0NAY2b81+tihLFwM20plEnYhDGCjfdGStrAYt/OUl10Vl71/PVY7alN2EcLsl4+nBl2LYwPwt+Xg/jpXNrk5S9/eTu3sOnjkZzXosyuw/mNx9fuiRvd7VBU+zzcdRxXXz6vtqDmVSe82SfzkTr3cnCsJLxRKAYx7XN9x1zBNlmwVObaiX0yl9jVlM9cw0axk/K6hnx3u9vd2gWAcJekEBgrgQjosZIb4TgiktHj1THYTb4mGXGCHvlkUNcBzHCYdE2cyzIRRjzhXn53fZ5Egr56+5STWGV4iF5Cpho3BovQrTGxPCXeYxBrkpfBHGpAGV6Ts2syZgSCycvCQhyhyR2fnXfeuf27l43zE1k8CiZdSSgBAT2v8ZRXMeGazq0ODD5hygMhjtB71TDXsg796fqMtfYx6ft7opPyEmQmcROmMppkX9dMHDs3D/nHofLHoU5oJs5e9iYQwk0ePJTfFmadfLrWw/UtbHiZtAnOPKziaAl2gtYi0YILH1wJKLG2tvgJDdvuQpOIEBNtbR9lUD7HuDmOWLQAIPxwqO0jv+NMgES0MkxkUh7eMEJBn3R9Md76v4WaehovxjLhJz9RtMcee7T9lXjmYbXToR4S4UuIPqx5Qsc9G7FF7AgfcqzzCQkRHmPcuZ7jLEgt9ngdaz+wU+WFQeVY+4PrGEfOg3+9tvfl0Q52IYgKbaO/4GpRYMwb48Ssuuk/BCLRSrw6l5djtClPNU+e8uuT6q+MFsPyDJfkY+fEiO/YcFBvT71gJy2Ka1/FSsgG5l//+tfbhZpzq7MnVHQN1eotg3N7VXvUy6w3n7rzrtpZUBf5CFQODrbPbqH3iDB87JL4G1fiTz9W/9p3LbaMw/q3a6mHsCeCm7j1GabOg7WfkvKyARYNHBPOq83xMd7Yagt8HPVTHNk4x2kPn+sr4yWgsbEorE8sstir9/Qow0hJ3SzqhENpOzsaPL/6g7qbKy08xS+rY+VgQeqanDvy6ROupw9JuAqvYW/0Q3mwsbDQx85vQqYObZi4vjlFH9Nn/S2v61v4sG31xs+R6pD3Q2A0AhHQo9Hp8zOD0yTq7uzqoeFB5Nn1bGOTWzVy7trmATKYq+Hs83Jjzs44v7952gWxwHARByZsniHlkZTTREIwMUwmVkl+hs3qnxdAHnkZUgbbZG3iMVnwLJpc6rYoQUgguiGuGl7MvEzMykCMM4Zu+Ni18XDWfO3Fm/9s+So7Uec45yRoCBBlMaG4njISpMrIUDunyUU9iH/HK7eJicH2ud+1hXr4GnHxx0OFXy3HeP9UF2w9k9QkXgWcHQzhA/qQSVY+7cdTXb0syqL+RJTPvSSTOA+juMsquoghAk/baKs6obUHLP4PFwxxNgE6xlY9MW5R4TMhBAc0nkghFsSvpxSccMIJbfv1TlT6Aa+bhWRvH7LVr80tNJVF3SXl1Af9rR7+dg2eS9vpE5n0C5Mq0YIBpiZ9HrAqFC3ChFxgqGwmdzsl6qPteJ7x0lbazjecyeNcxpvFnmOdX991rjoeHGchSRyc3yz8/O26rs/73LuL4Hj9XZmVQ38RHqBv1KQv6wMWIJgKMTAW5K8Lg3nNwpP3lMCofc5ihW3iUdU2Xs5rsUY4OkdNrlH7W+97xq2xwxawLzjwDOLCphBOtY7yqpuFNRauob2FuGBgPBK37NBQe1CvOdxP/ZDg1Z448piyccMlQuyUxuMrFtz1Jcxcm4ddHSwaheS4F6DuTggtMUaw600YayMJI/bFYonA0y/0b4t613QN4UH6t+O0q4UYYVnPy+uLjy9y0aY4Ssa8BbJxVFkR6car8y5t0rZ27/Qt7eW6+hOnkN/Vbbik7voNz7Hj1N9ijbhnE/AmyC2MLBSdp/YBtteuCPvm+rzFbBFbxW4bZ+qrfStbCz71dg4LD55t3mfziFhtC8faT7Wr8Dz5nDMpBMZKIAJ6rOSGHGdwMopW27YzDW4GnzeL4eUd4nWRjwExqBlUE8JIRmjIJcbtT5MhL67tXEbXpMIIM1SMS295lLf+7Xc3+il7FVY+Y/RNlIw7kcXAqyuxS0Azps7LyBEbQ+8S9zmvjskEQ5OdmwNN4s5dk3xuNOGx5KFQHiJEPsLbZOPFyBJ58kt482gTMo4hFix01J1ht7jBwLXUx8SvzXy2LFPly7AT/pXbps2NMNqL10mZiTBiVR0l5cahTrb+5jEjXHmNe4UrUWShQqgR0M6rvWobO5++K/bWc8qx5KWxEOT9t2shL56EnmvxqCpT9Zj6XF28fO547UtASXYPtKH+UdtRPi/cedn0TYJN4nnigdJ/esvZfjhO/ymrexRM3FVk8lIResqkbNqDsKneWsx54Y1zbWbBRhjIWyf0uzafXdf0SRO+8xO82lA9CAVceeckYkgsuwWh39kGY1IogUVErbtyWLRYaOGkfHYYtJnjJHkdL1zAmLTgJe6NL/2acK9xxcSFhUMV38ayMukrrlXbsv7eXmDxNWqZah5/E268lASMuGdlrzey1oWZEAhtX/Pv2exMPbHpU5gSXEJkhgpoizZ2pEtSHsdrP/XARx+0G1LL3HsebVKvi1Nvkr/3GBxqqv2i/t370zHagP1xXbsx6qBsxDObyz5qDwtMYo8otdA6oFmcGk+Sa4h9ZzuNBX/XpK+aY4RAKRfbaWfh6bzcK65Ys435p3MaE+wuYY+jcosd7mUy9AL6mXro39pZuxn/dnP0LQ4OfdB8ggcGbBUGrkkwsw8+c6Oi/qnu9XGC6l2PY9ftAhHDdgLMT2we54HzK39lqZzKol8as2xgUgiMlUAE9FjJDTnOoOe5YCAYR4PbHdG2kBhQosUEylAzksSm1Tjh5u9lmRjCY5otaJO13xn5eY0nihiosZhDjaP6MVo8NFX4KDODLVaXd8QxvD3fbkI//tUItLolz2AxVLxKvC+99XVegmrvvfduJzrnJOhsK/fewCMf0Wey6H0EoMnE+fHufTHIRCRPG68WI0sY80xUsaC8BAoBbWKQar39rL+3Hyyj/0w8Fie9T0VQPx48sY28QcRkDdMYWiz1JljlJeL0vTrh4mzyE5pRhRSBwbvtGjURYSYXHiCJB5T3znWJLKwOaCZ47U5sWOwQhvgTSpgS3iZJ7aaPEC9uIjWZ8oQaC67jGP3BOOA1q9vldircJORzn9mxITgnok2UsQo7dTZG9R3jgcg0PuThfTSeiR7pwc19Afs0iwiedOFM6oY1kaT8+rp4cZ42AqfW17HqTCQSVtpMMtnz8BO0hLj+yvOHW/UmKpu2J4gJZmPM2DKO2R/llBxrYcmDLmykbmH7zAKWFw9XyXGuW0WY+hI59Vyuqb8ov8WVNpFHPyB4lU3ZlUVybZ5H485nmHhZ5HIweGEl4cDj7eV82pfgrTHmru0c+gyertslKa/Qht7FjvAxIq2Oh97zqJMFKPtChPlbWer1lMN7XZNjjQWeTrbRT+PAtS202EIhCM6Ll75vscPG+szTKPQB1+f9JjZ7bzSt5cCq7oB4T5uypdq+9quat9+f2p8X2fntvEhsigVdXZSPdE714EgivOuiUp+yYFefuuiWD5P/1959AFlWVG8Av+asqJjTKqKYFYxgWPBvjqBlwLRmEASxTBgXzAETBgyUSFBRDARFxUCZBTGgCIphFRHMOaf//XV58PJqZmdm972Zt4+vq968N/d2OP119+mvT5/bl5VfH9TG+iOdwogAc3UxFl1HrC2MyCZdPatirjA+6TM6CqGmhyzyjUE4V4CpecE8MOkjEqvMfM8mAiHQY2pXA5qVyerXatfEYNsVSfabRZYVmuWIcqVMrayt5Fm6VvUElsIVdy4FPyYxWzYmFxZYhAipolwQKK4MrJaIEQJRk4dEJk5HcnEdsF1dEwyFhzCYPJE790zmpeBsXVvts76YANRbWTAQyEJRImwUneuUtAl0qKTJuK63TJkcTNYC+Uw+MFOO+DD0oVCVC1f3TCbyQHZYESl16ZBDlgpEYNJBXcngmzxDHKpsuCJItjaRMqSlJmP+liZMxIn8FdxXF9uX2g7ZNXkoo/qS+LaEtZ+JSDmIyUH9QgpG1dbaTTvssssurW9YzHBJYukkj7ZFclmWpEE4ED79A+58RllEWZiVI5g4EWj93ekNCKVJTlnaz6kE/EL1D/9rX8RPenVDEPUH6f0/7qA9LMrUs8ixOloMIyTKVD9j2GJL++hT+izMLUqQffVx3bhCCPRrD7xqM7jBXICbCdwiZGhZRgyQk3V9PxfX2NJeRXTlIY4+jOwWYRfPuLNoEbQ5kqyNYGfxYbzLU12MQUSDZVofITe/a2UhuYKFly1xuknfQS6dlsH3Xj7uI6QW3ALCgxi6p1/rfwgKHMjztx6/o3u/Zq4YdKB4ytb2FglwhIvrrNPaAnnzv/qzyotT/bkVOs8f9dF3LCL1JXloF+3JqDFfHtIheLAwTsXTTiyn3E5gWOOOrOrpf+ngqj6soOqsz9Pt6le6VJ4wsnhhaKhFhHoheh7UNs60TelYeSKwXDxgPgzqxf2GsUH7kIHegzuSSsaNCcaFetcCGR7GJV0+KkuVAws66/h+N9EOVukasknPN9vuFYOSHS1lkNMCoR5K5P5oAcrVSTqLC5ZpZNziq3ba6BkuMazzcKXL7FqZd/Vbi3RjpXCWF8zIYZdFfzDX+D8hCGwIAiHQG4LaHGkoAhOVia3IhInB6tkARVQptrIuGcgGNMJga8pKGvnhr4qIuDepoGyEF5lhJTDxUnwUGRLqyCCf4XahidVWmMmFQiKfepmM/S/PCu75mMSdGmASokgpOb/VU70FaW1FD/0zKWlEfkhqTT4UKkXLsikggAg1iys5TJK+KXdp1adwLMVOcdsG9L+4zpi1G1DytIwn8Ac+yBkSaoEF37L2jxZHNiRDfzHJ6E+CCcOEXSSn2gB5Xr16dbNSw5clbzgpVH4mjHINgQ2rmAWfCb5wkj+LJSuYPo20IoQILJIosAIhBkinyZWsyrMNLU8THeua9GRTT2TODoI6IQdFUJAMkyU3FXlUv0RUTZTkJANChWhMIsCXawqSpkxyIDR8NskvwBz503fUyykxMOFji0gX2VcfbWCnAxFAJuA/DPKsLXltWgG+FiRIn/awoIWDfg0XD9YhBO5rJ9hoaxZqD5Gx5gnGBR9VRMdukYX7cAtbOu5jiFn5FdNP+gfCpG2MByc9IChklLdxaQyTTXuRDRExhpE44xg2gvRIj3GsvvqDfiM9PGCMaLLowxJRFNTLzhgLu99Iqr6mP85H2lrCwR/yW7RoQ32NvPq4vsetRNmuDYPx6cMKCmf1gBNSa1Gjb1jUWsRIDzd5DXcekGeWUiSWDtcO4grys0tjvJkD5FPBQn9tv5hCui1SLDDVQfkWIhZoQ10sHVn1Vf2l3OnE12auKXu0jlXeYr/hL2/tZjGjLjCl0+lOoXDTpn7rp/qovqC+o33fgk6fUM/qr/oBsu1bfIYa7a3P6hd0NNJtQcfKDEt1Q6xdo+vpKPMCg5X5xWLXQsW4rf4GQ+MUtvqVtBb8ythYrBaLaeLNFgIh0GNoTwOUgjF4S2FTppQxBWhwGrQIoMnMRFmraPd8KCeTjm1qE5nJYpKDmrKjxCk7E1ZZoslBOSKVVvKsP66pHysi2SkwSofCLmVGdkrbZI/QskpTWCYy1pZSXPCAi0lZ/ZAvW621HU2xsYQhIn5XgJ9J2NZwWdpYWUwusCaLUHjWb9812ZgIbM8W9ggZEsQSNyxLmnEG/cNkwC3j+N4y43+WMMTRxD5XUN9v9hav5/aYI55C9Qf1UV8TLjxNLkiqdnNde1VQlvoiAIht1V172TbXZ7VbBffX9pO5hSDiw58SzrBjNUa8agtX30GckETtzorMyj3cMkUkkGx9gXUPgVI3cpowyzJdRFU/06bayQTuOhJXL5QpOcf5jQBqC8QGXqzCJmTEpjAvueACX5P3mjVr2mJDu5JV0I/UzbiQl7aqMQUn/8MbiYA93CrYwbFQqAcR5WVBDS+EnJsJsu9/Qb/3gKl4dlWMYb+5ndSuCoLqobeSTzp1IiPLKqJdJFrdjAdykhkOFgfav6yCRe5rd42eUk9lID3a3v/Sa1/kx0IaceTaVotB/V7ZFilFYGDDuq9/cTOSD6xYui049dnFBOnIq9/os+orLUIvH2WTbxhgipzRTbAmi76n3xkniDGC5jrCZuFux4SVm8yC3Rr1ZTQRR7niI4r6FrJdVmzXBXLQBcYI8kn3w9J9iyOLFrq4MGqJ+j/6lwWsMWVhXnLpx9y9RutX6Zbyrc/oEyzi+r88tRfiaTwr0xyi/uY9dUN+jXHXtYMAe3n5X//Ub/Uj/6uXPm4xZyxoB8SXZd24pKMZomCrH+ibcKX79BN6z//l1qev2vWxAKudDn1degtNiyN5CNz65E2eceDVMs2f8xQCIdBjaG6KgPKl7BBFg5EVChEoqxllQ+nZYjLAbVNKQ2m67mOgS0eJs+xszKCuPGvComRMRsqofMlE+VHYlDuCSh5xTTIsWGt6kkDJmZyRV5MIJUchsTb6piApxqoj5UlBqitlVcpTubbpTEYmBwE5NMmXZcqka/vfNzkqqI9JiJWfYhQQHBMIq0bVqeIPv8mrbspRj1LsJkD5rVq1quEyTDPO32S38EBO4AIn/qHwZPFXz2FdlU1G1hPEFSktmUsumCMIJl9YmuxHMZDGYoM1iM8hEl/56JfIKytakVd5mwj5D5qU7Yqw2pmcWF/1JdYn/VxZdiT4mLpOBu3so77qY/FlwlVXW6+spPqGtPqXiRj5r8UiXLgorO0JfJEC+CgHmdPHxh2UCSNbywgqLPjJIrfKrgAX45JvKuwRVPXyoBTiqE8WtpVGPeVnTCO1/JDFc51VXd8b+mBqbwudsmrKx9ircSV/uMKBBdhpCHyoEQ3EQB83bpBEpACG+hgSKQ+yGAslp3oon5VVPkgRCyPyKY77Frdk5VpQlnYLNYYA16vvwM641calQ9QToRGfbPqGQAfpRxZn+kj1fWVabFu8IGwC8s2iaqxLt5igrkiruiN1+iNZ9HmLBu4Q8KG7BDpQnWFoh0Y7CPolYkc+FlLx5LO63+1xnex2VuwSqTP5yMuirn3E1W/gj5SrU+njVkD/B8aIocWn8bl7T8BP740O6mBho+4s2qN1N47s2lkUFyFktNAu6jaOADdyI6r0NBxgQudUv2VlptP0NfLXfEZ+9TfO7bbQIbUAkU/1QWOMHjM+YKGPWATob/oq96S1vT6QVv/T1/V/fY/+oqPkB1ft5uhVY8g4k949ZJt/OR1igUpWwSLHWLdAstCfhH4ZRzskj+lFIAR6DG1DGZiE1/RkE0EzaClZ1gQKZBgoFsrPhEPxIFaIoa1gCseWkolx1OIwzGN9v8lCmbD2IOkmLkrH6p6isB06VBTkoSgRWFuy0lE8ZGElZg1gUaaQWElMMJQchU7pUEJ+S0N5qpsPOeQNC3kpk2KnHE0w0oijPJORNOKwCiAWJqdhICOrJAVoIhNscSM1CLRyhGGZynBdWgp5ba+Iy3otru1OFghKnIyTCvAqa61JRrBAYlmyoPC7ZC0Zqp/AH/mF1TAgJUgcIoLEVP3FEddHeyBtymZZHubBcgNnE5CyK5hcTGgmRi4ZLI3Ir1M/xGM1JDeCwuppi7eIkTyqvWtyQua4/fBH1IcEE6XrCJQJubAnn+cIEFJ9WH9Y3Y8jE2WR7JbBGP/A+ef9mH1EPzZgBFdkycQ9HCdk5/5jgoaDRYQ6GMcWcYiGfiYUBtrFIlQbG0v6rjEJL+MbMVG/wt8YohMs9OxWiQeTys+3PI0f1lTEirwCEmWcyxf26oW0wK7IqN0thBLRkG+NFWmQS6REu9cuk3wZAaSjn8grLwtPCyvjhkyCuus7LLMIo//lL4hTZcFUOeqI0FTdxVN/pLD8XPULVkOkHtmtfiLuQkH99Httqb4li/LUFUYWfeTRhuIwfkgnKMvi0hhjDdXu2sN4YZEt4jZc1Fcdpa1dHWNQvar8wqLkJwOM7biRwZhEyMW3sEHQLWyGdXePDrTQtWsBa/f1STsj1SeqjA39hoX2hoEFRvVvGFa7VTtX/ZSlju6Tw5yj/5s3GAOM62FcOtwiwbc0MIYBy7fyLezMGfry2l5/Dwk03W1uEqSjY7hilaGAHHSNXQSLdUF/oGPEF8yLFvFr+rnbGE0IAktBIAR6KWitJy4l6SgvZMfgLKIxlzKjQHwoCOkoIYP+X/3/m/eDuJTveoqb9xZiY/uKD5jf8hcoB5MuZUGpDEPJYjIwybM2kA1pMWnyKSOjF8Fw95CvQEH5VCjFWN/umZxNlPJgiWCRck0wubC2cQOQP6xsbVNmw61tcdWDEme9ruPNiohRvsqiXH3gx3rjI460CA7FbJIUTDisPsgieYb1aBHG+EfdEBekw66DoHxkyAILWYMLS0nJguhrDxZZiwuBjIWttNqS9cokXBOs+/qSp+YRV1uqyFWlaxn1f0xq/MmlHdYdxix3yCRLIJcNLjX8ok1wSCOXFwsz1xA+faWCOBZKFoEWa+LoM2SoeEUMEJmSW3rjBoHiH6nNLNDUz5Z09ZkqZ5zfyuXbrI9YVK3uSS18h7joq0gUEg0bpFJ/0k+1KasXsqGOiKWTTVg71ZHsriMRFh3r+ocEETj9wYIRZoI2Ek/b8YNFZOWpD8tH/4CpdoeNdCXjsH1dk48+hGToe+7bDUD81BXZLd0gvo/8pKvr/rc4gIf0FrDSGcujVlH39XP9zZhWB/12KJf8jEmE2ENeMB4G5Vo8wRne9I/xacEm7VKCcvU57eVZD3qhZKk+N8TOveF9C3jYaUOEi/8zGZyoMdShyjiof3gNeaMXK49h3iW3a/qLuiGS/kcA6Wtt65q8lAULxhQPDpdOqHzcoxs3uSjaAAAh7UlEQVToQvWSj50HxJ4uqfpV/I351h+QWS44pXfXlx9Z6BQ7Boir/k1+fdFcYoehyKu4+pKdOXrQ//qQnQDtpv/s0LvDINAWlEMXDjqeXvAQoAWQfscYU31OXvqP3QY4wlewEDTfwE9ZFlB0r7Fsp0i6hCCwWARCoBeL1ALxKE7W55qsWPhYTRaj+IfK2wDemEGMINquKisQsSlUK3mE0TYfheaaDxvRf3olSRHXBG/bkUwIrZV7PQh0Ru+S8fb+oUNWxyJlNWEop2SnlJRhkqQgES5bm/KDR9WPIjVhFGGi5ChLSnF0cqXIWV1Ya7jAmETIL56yhMLRdROKRQyio0xbgCwp2kig5E1AtuHFn2QgO9KFWJgchxYxZZMPZsO+Ig18KHn1Es/k61pNmkiU7dTqa6ykyBwSbEdBHzApy2sYYMayDJ9he4gDYwtBgVsDomcyK6tNTXRkQATkXX2AjCZOlmtWM5Ma9xN5iqeO1+63tu04sLjN1cbciZBM/VjbkREhH2LThBvjH7KpC6zJhLBWH61i9DfWWe4kJl/Ex3Y5suyeNoW139pJn5QXTOSlDJixpPnAx4JSGw7LgiU5EI461QZZMDbsVJTL1EJ4yEeZFjoWBgIyo1zPJeiLsCaTeKNB/saQBXURCxjJt/rqUG7p5aOfW1QhrV4cJY0AU+OaLuH6JY+50uszdl3oIP0agdZnRuO2TBf4oy2MAW4lrNH6lDZaX6jFN/LnJBb934LU6SPa1GJd+2pXQZ0tchgsfNb1i6PqB+6L56MvMCTw90UQxYOlRQ0/dnnKi34qkmkRpu+P1p0OMB7Lokuueih1dOeODBsbkFLHO3IXoUeVD1tB3bQl3e55DPOLRZLfFn01luShDeyI0QeCe2U1Lz0EA23GUmw+okssWpRpdwMBhi9MpFcuWfRjcWDqnnGpDaWHCRkFaelIhi7uV8atHRVGg1WrVrU4+RMEFotACPRikVpEPIO3wqjSq+uT/jbxepDF5EuhCJScicCKnNKhKPiwldUDMUD8TQQmCxM4+aVBaG2jSqd+VvuUN8vi8GEx8SlB7hTIEdKMQFNklBcZRgPFZ2JCRFgYkDo+acqaKz7lamJmES1SNpqn/6U1IVlIWDSYYEoBe0BLPhS8rcO5Jqi58hzHNTJzhSiLLJzJMuw3o+WoC1wRftYU27sIck1gJmaTvjiuISzqKl9Bu8hDG7jvun5g8WAyH8W58iCTfOXFhxqpRo4q38pb/uL6+A13bW6BxSJnYhOUj3zDnFVP3nMF8U1w0iJOCCYZ5b3SQd1rkaIuFoXwX0qQR40vmKyvXqP9Yn1x55NBedVm+ojgf0QNsWQ5rTE/bEdj0LinS7TBUoI+pP2dAIIMIk8W0qt7SzbcSo7RPJWv/Vm59QF6RNlLxXiYr7oiTfSh3Q2krMZB4QtXMmkPdWb1tdAYts8w7jB/v5VhnCB+X+hJ2Qn9GHWaiXxZ/Fk4EUs7L8gcAwB/cbqSKwtrvrKEagO/pZ+rzfUfRgxWU+PdmPMwo92h+caV/DYmKEc/4YJkQaaurllkWRDR9wizOWMu/U1mCzdWaG2rntqW7rfoHtZT+yC2+pA4RZItrizmLa7EGQ3y0I4woPftgulvozpOe8lbPzPn0TPmQvNEQhBYCgIh0EtBaxOIawKyRctaMNxeLwXl22dISigzCmmovCkiio3CoyRLCYlDGfpQPmXRpcRZxxA9caX3qXLng065iKVJ1qRFia0vDbLPleT4/jQLZVOGo4HS5CfKuoHkkIPcFhd1usMO/dYgoufecgUymHQQYOTFlqNtUWRxrnrAwaRkArZtzCeT9dLkO7oFX3VQxjDAU3pWHP2CBQcmJm4WvrmwrjzcI5eFkm1PW7kmHsE9bY0EqA8CUdfdk0fl4zoCMXwl+VzlilfpfA/7qHvTEMgFE/LXZxrkWqoM6qDN9D/WRa5CFsf0B8KCEPHf5vpVY38pZcCJjlCO38bZkJDOl5e4hfFi9Md8+QyvV35ImXHDRY1u9CGTPozoshAzLBgzS61zyU2f1af6h7x8qj5wsRhVNqyXqoOURffSbwwPSCZ3LG/wnBQJVKZQdav6jtZNnLnGtvjqTY84YUUcz2+wEiPdo6HKq/z8T/fQYSzZ2lHfGgb5MIwwwlis+H8uWaQp+X1XO80Xd1hGfgeBIQIh0EM0ZuA3pWKiYHFhpUAYESCT5ajCmau6FCKLjwd9EB7bcaX4h/Epnpoc/ZZuQxVRyVXph+WM/qaEWQHreDyTIAKOvJsIWRJsryONfg9lp/ylJ++GTJKjsmzI/8omhwmUJcW2ck3mLDyw8DGxkp8V3wJm855IX7AnIf/s057YPxDpVIzaTpVnhZqoTc4wWN1b/Vj/YGLxsa7fOpYvqxdL9EJB3uRBOpAsEzcMkWfkyqLHSRwWNNpF3UoeMrBGccWwlaou/s9EtRDqy3O/+qJFnUUcguK3sWHhpn8sZkwuj7QbX0qNrSKBvtWPjqhP6bGNKa36f+Ux2t+H90fvVZqFvlnVueBYUBuHLOd0IPmXI1QdliK/NHQ1fUfOcutbrMzS05v0HveLclNjcabrGARu2FvDr9zrt5XS78uBfcqYHgRCoKenLcYqicmCVZeFCblxzrL/kR9kepRQUzg+iJsHzHwoOCRo2gJFqn4me/VQJ3L6IP++KfalKPeVqGNNQtUmviuYVNTFZ1gXadSZJRlx9bBWEW9pWaNYYfitsljbMjbByENan2F+Vd5C39LBHOkQyOfjukmNNZ17CouYOO6x6Hkoj2UM4Z7GvrRQvc9r97WnMO1j57zWLqP11U7GGZ2hrejuTaXNNraPle4v/a/edJzFeen+UbzyfxCYBAIh0JNAdYrypKwoWSt/Fk9uDL5ZIykglgzKl4XSZ1XvH81CGUU0RY04hyhFZrWtHQdtqa1Zo7RnEdzlmlTJQxYuAGRRPrce/Yh1LyEIBIEgEASCwCwhEAI9S605T10QKx8kZ/hxjRWjti99LzfxmkfkXF4kAtW2vgXtt1ykeVTEkqG+ybFSsozKlv+DQBAIAkEgCIwTgRDocaKZvIJAEAgCQSAIBIEgEARmHoEQ6Jlv4lQwCASBIBAEgkAQCAJBYJwIhECPE83kFQSCQBAIAkEgCASBIDDzCIRAz3wTp4JBIAgEgSAQBIJAEAgC40QgBHqcaCavIBAEgkAQCAJBIAgEgZlHIAR65ps4FQwCQSAIBIEgEASCQBAYJwIh0ONEM3kFgSAQBIJAEAgCQSAIzDwCIdAz38SpYBAIAkEgCASBIBAEgsA4EQiBHieaySsIBIEgEASCQBAIAkFg5hEIgZ75Jk4Fg0AQCAJBIAgEgSAQBMaJQAj0ONFMXkEgCASBIBAEgkAQCAIzj0AI9Mw3cSoYBIJAEAgCQSAIBIEgME4EQqDHiWbyCgJBIAgEgSAQBIJAEJh5BEKgZ76JU8EgEASCQBAIAkEgCASBcSIQAj1ONJNXEAgCQSAIBIEgEASCwMwjEAI9802cCgaBIBAEgkAQCAJBIAiME4EQ6HGimbyCQBAIAkEgCASBIBAEZh6BEOiZb+JUMAgEgSAQBIJAEAgCQWCcCIRAjxPN5BUEgkAQCAJBIAgEgSAw8wiEQM98E6eCQSAIBIEgEASCQBAIAuNEIAR6nGgmryAQBIJAEAgCQSAIBIGZRyAEeuabOBUMAkEgCASBIBAEgkAQGCcCIdDjRDN5BYEFEPjPf/7T+ZzvfOdrnwWi53YQCAJBIAgEgSAwhQiEQE9hoxAJyaqAbCUsHgHY/fOf/2wYXuhCF5oaokquf/3rX92ZZ57Zbb755t3FL37xqZFt8egmZhAIAkEgCASBIBACPYV9ANH64x//2B188MHddttt1934xjfuLnjBC06hpNMpEuxe9rKXNdx23HHH7iIXuchUCPrXv/61O/bYY1u73vSmN+322muvbrPNNpsK2SJEEAgCQSAIBIEgsHgEQqAXj9WyxESeEa0DDzyw+9SnPtXtuuuu3fbbbx8CvUj04ffRj360O+CAA7r73Oc+3cMe9rDuYhe72CJTTy4auU466aRun3326X72s591l7vc5bq3ve1t3dWvfvVYoScHe3IOAkEgCASBIDARBEKgJwLrhmfK9eAb3/hG97znPa9ZJ5/znOd0W221VXeBC1xgwzM9j6T897//3f3+97/vXvjCF3annXZas/De8Y537C584QuvKAK1o/D617++O+aYY7p//OMf3S1ucYvupS99aXPlWFHhUngQCAJBIAgEgSCwZARCoJcM2eQSIFpnn3129+pXv7r70pe+1G277bbd85///PjKLhJyxPTLX/5y94pXvKI7//nP3wjqlltuueLWe4sihP7FL35x973vfa/Vxs7Czjvv3F30ohddZO0SLQgEgSAQBIJAEJgWBEKgp6Ulejn+8pe/dIcffnj3jne8o5E+1ufVq1c3MjgtYiL5wrQ92FhW3te85jXdJz7xiQ5x3m+//bpLX/rSK47f3/72t+6QQw5pH23sAcJ9992323rrrVdctmnpV5EjCASBIBAEgsCmhEAI9BS0FvLn89nPfrZ77Wtf2/30pz/tdtppp+7xj39885WdAhGbfGRkTf3Tn/7UXeYyl2kkekik3edGIbjOCrxcwekW3/72t7unP/3p7QHMhz70od0Tn/jEVnzhyw1mueVStocan/CEJ3Q//OEPmzyI8957791d4xrXWC54Uk4QCAJBIAgEgSAwRgRCoMcI5oZmhZQiVx4w833Na16ze+UrX9ld5SpXmRrfZwT1rLPO6t785jc3N5NnPvOZ3RZbbHEu+f785z933//+9zsW1+te97rnkOwNxWUp6f7whz90+++/f3fUUUe1hwZf8pKXdNtss0336U9/ujviiCO6S17ykt29733v7ja3uU37vZS8Nybu3//+9/YwKHlYn50IgtyvWbOmu8QlLrExWSdtEAgCQSAIBIEgsEIIhECvEPBVLIvt7373u3ZqhNMjnFv86Ec/unP8mnOCpyGworI6H3bYYd0HP/jB9gDcU57ylO4KV7jCOVZm9eB/zIVCXKdfPOABD2gP8A2t1BtTH2VYbPB1FpBRx/uRT9lr167tfvWrX3U3uMENmh80Iv/sZz+7+/GPf9yI/uUvf/nu5S9/eSP+45Jpofr84he/6F70ohc1+cjOpaTIvbZOCAJBIAgEgSAQBDY9BEKgV7jNkLwjjzyyEWgWyhvd6EbtFIkrXvGK57LurqSYiN+3Tjmle1ZvdUZenR5xy1ve8hzyTDZxDj300GahZq2+y13u0twpLnvZy57LX7rcKao+iKxPXa9v9/2ub7+5Qpx44ondcccd1xYXj33sY5u1Hm6vetWr2vF15Hj4wx/eLLyn9DJ7cI8V2FGAjoxztB2ZNiSUbCVX5VF1KFmH1z/3uc81wvzLX/6y1XPVqlXt+LpLXepS58Kv0uQ7CASBIBAEgkAQmH4EQqBXsI0QTS4G3DV+/etfd1e60pW6ZzzjGe3lKfyHl8tKuhAEZPNAnofz7nnPe3asz3ygKyCUSKpzjb38haX49re/ffPzHVqpxUd2WajFZ4FFZlmRpVHOb3/720aULSzg49t1ZPjzn/98S1+WXP7Ojqlzz4tTfvCDHzSLt2Psbne723Vf/OIXm9xXvepVu2c961mdb0fabahvNpl//vOfN/nJRn752SmofMWxyFAn50+/8Y1v7D7wgQ+0BQaL+SMe8YjuMY95TItf+OU7CASBIBAEgkAQ2LQQCIFeofZCAvkLI88efkOWPTTI7YF1cloCYvvxj3+8Ha2HzHKTQI6H7gcINP9nD0CypkuDwHKfsChANpFgR/Mhu9wsEGkE8+53v3vzVeaC4cUxXjLym9/8pt0vS6/08EJO4aTsO9zhDu0hQfkj7vyc3ee+4Qzta13rWo2MI9F8yb35D6ndkEWJ8lmQjz766O6EE05oZ027hhCrg/ZyHJ38vQTHx7373ve+3dvf/vbWvuri9A3tbZdhQ0n8tPSLyBEEgkAQCAJB4LyMQAj0CrQ+gskKW0eusVhyiXgmK2lP9qaFXJETmWXR5TpxvetdrxFoDzkOiShyyI8bYRbP/wguq6837lkoOJvZA5KIM/IpqCdye6c73am5ZSDWyiziPGwacZ2i4cE7bhgexGMF52P8uMc9rsmJwHpQcLfddmu+xtJXXqPyKoccvgX3fZShrIrvPtcRJB2B1m6VZ6VrGfz3j3TSk+Wud71r98lPfrKlcZu1/LnPfW6zulf+w7T5HQSCQBAIAkEgCGwaCIRAr0A7seR++MMfbhZb1kr+zoiV481W+q15QzgQe24TXuzCgsyi6mi4ofuG+EjmunXruic/+cnNguwaH+inPvWpzXL7pje9qRFrhLXIJwLpN0uth/tYnotYSz8MCCnrLcvtAx/4wO4mN7lJs/jC0fnK73znO5urhwf0XvCCFzTr9/pwJK8Xmnzta19r5J4ciLlj5ViqfdcLTmDg4U6WY+S/5B/KN/yNOEt/29vetlnb7S6wniPmu+yyS3t5ijonBIEgEASCQBAIApsuAiHQy9x2yJtXdXsQb11POhG9Bz3oQc0vli8tsjgtAWH0+mmWV4SSRZlleZQAIr7vec97ure+9a3N2ooc3+te92pW4te97nXdySef3AiuurFe3/zmN+9OPfXURmIRTiQVLtJxz/CwH8u0o+cQZ1Zsx+Jd+9rXbr9hJi4S7E2Nvv3v/hve8IYWZz4cuXkgzizKfKb9L0hPllX9Q36s26ziymEVV291QJ65a3gNN5nUm0W6gnvIM4IvrqP+vFpc4AvuxTiI9XyyVT75DgJBIAgEgSAQBKYbgRDoZWwfJJFLBHeGz3zmM80yiWw51owvLxI3LYGsHuhzpB7rMCs5cnq1q13tXKeDiMeKzn+bqwZrK+LpJAxkuKzD6oYUe6GIfL1tUVzXEGCEUzrE24N2yDOrrTwQWx95FEbKdaQembhYSOvoPHJIIz9xkNVK49oZZ5zRrMlf+cpX2n35CshwWcARfG3CMn788ce332SW7z3ucY/uSU960jmLiEqjDPKSQ7ms1iz3fMOVwXrON3tVT9ATgkAQCAJBIAgEgU0bgRDoZWw/ltZjjz22HVnHd5fbwF577dVIGeI1TaFkRfYRXZZn5xmTswgpecVzVJt7/KDd22yzzbqHPOQh3fE9+fzud7/bCKW6eomJvL7+9a83azGXFSTYokJA0p2ssd122zWy6tqwLP8LCCrLLtmcDOL/OuOZCwbSjNT/6Ec/ag8TDt0x3ve+93VvectbGrG1aPFApDJOP/309rAfizQXFdZ0iwWuG9xtyE0+/uAs0HPJRTbXEXrH6nn4Un6IN39oLi2j7i/SJASBIBAEgkAQCAKbFgIh0MvUXkiet+WxXnIdEG5961s3wuh4tWnb1mc5ZYVFUFlQd9111+7BD35w+12Qseh67ThL6xe+8IVGpllhuTF4mO9d73pXI8fqhkAjoFtuuWUj0je84Q3bEX4s1MpCPLfaaqt2HN2Vr3zlc1m5q7z6Rma/853vNH9nbjAC0s3/2bF4yDNijvjy2XYiiDrA/2lPe1pzobEQQPK9sIZ/94EHHtjqwKJsAcDFQxqEmcuHuqqTBc98JLis3l7cwrXE4kF+MLnVrW7Vreqtz8j81XoXle223baRfvcSgkAQCAJBIAgEgU0LgRDoZWovlkgWSW/CQ/C4KPCJZQEtC+kyibKoYhDj3XffvfvJT37Sjmpb2x9fxy+4iD6yiPi+//3vb2RTnQSkk/sGC7Ej7ZBdvt179mdH36J3jeA77Og31z04iXgjmay0O+20UztjWh7zWXiVAUvk/KCDDmo+yGTiGsKFQ1ruMSzAZECqV69e3UisY/S8WMVZzvD3IhZ14G5hR0AdEFqEm/8ycq69YCA4ZcQ52KM+4O1m/8ciSVzH+TnuzkOOcFIX9fNNVr932GGHVldyJASBIBAEgkAQCAKbFgIh0MvUXvyI1/YklDUT0WKNdDoFQlmkdJlEWVQxX/3qVxvBRSyRPL7GzlguWZFeFl7nHCPbgnvOX95nn3269773vd1HPvKRVtctttiiEVEPEIojLQvyvvvu2/yfpWWhls5Rb1WG63MFRNcLZxyZJy8YsvhyEUFgWY2dN33961+//fZQIiKLKBexRmbL+ovMC/4no4WDYwUtDlimkWwnfLC0cxGZj9xzZ1EnL8epBcVc8rvmSEAPWHq4MCEIBIEgEASCQBDYtBAIgV6G9kLekCrWTO4C3Ae4QzjWrCyTC4mBdCOLAoJZ5G+hdBt6n18zIkpe5NaZ1Te72c1adnx8+XIfdthhzZpbBJSl2UN8HgQ84IADug996EONQHPJQD6dkkF2hHT//fdvhNZvwUN2fJr5Ja8vwMFi5FGPelR7GBGZRexZs5WD0Fe5TtN45CMf2eSXjmsFlw4na5CjiLDfrMrcSlil5Sc+v27WbL/Jh6SPnoE9lBWB1q4WFIWJdtLe2lnQF4T73//+7fxq2CYEgSAQBIJAEAgCmxYCIdATbi+EyXFwrI3l0sBP16unnfYwFxGWBmlDmBFMJ0AgZay23BekQ2aRviKB466GNwNyf0A2leP13U6g+E0vy5E9MeZjzKeYjGQQ5853vnNzpWBVPfzww9vDetwYEMhtttmm2753W7hs71/sgb1DDz204UJuxHuPPfZo7hELubMgptwj9t577+a+gZhu2/sTe/jQ2wK5XpCZvzWLv1NOxIEpHL10BZEmE4s1/JF2FmcEmjVbfeTlldss8NxCPAS45557Nh/r+bBGoPm4f/Ob3zyHQKuPdNpM2+kLymYV50s9V/vPl3+uB4EgEASCQBAIAtOBQAj0hNsBEeZz64E8r5VG5JwFjNwVWXNtGBAxrgjcEJAxDx06UYLlV1ykkDUUCWM9nURwUgYfbbIjeVwXPKjHtcMHERSQTTIgmAjnqt41xbWTTjqpWXARfyRbHB/3anEgPeLNt5qP9BV74u3++gJCzv+ZawU3CelZfXfeeedm9XZmteDUEBiz8MoTbmRm5eZaok4eIkSo5VHySYvofuxjH2uLHOVxYeFjzUd7fQRfu+23337dMcccc44Lh5M8lOkca2VUWKieFS/fQSAIBIEgEASCwPQhEAI94TZBFp09zL8XGUbk+PnawucqwLrJquoIuDPPPLNZZ1l/EU/WZ2QOAZWPj3Cd61ynvYilXCImUQXWWu4YiDuZEU5EkzzkdQ0h9ECgtw4imBYE6iMgq0cddVQjteqhDqNBntwuuEo4gaPcHEbjDf/34hLEHkYIq/K96ATBZ8W28HDNA3/kUkYFcjvGzm4AeVjxWbL5bZfc4p511lnN4u7V4zB3RJ4FkPjDeJVvfcu//KwtdgSLDvJ6IcyQQFeafAeBIBAEgkAQCAKbHgIh0BNuMwTs7LPPbv7EXt6BeLJi+nhzHUKGFCJ0Pkghq6ff4gqslYiguNwNuErw7+UCMClShijz2+b77Jxm8lRQJrKLyN/vfvdrCwIkc0hW1ZuF2MkjrLkWERYJ6qQ+rLrSq4fj/OS3GKssgoz01hFx3D884Agbbhws5tw3XFv1X2t4ya1s1nOE3QKFK8Xq/oQObhcIrjyQYD7UHvBEgtXJuc9cbrTX+vCWll+4l8RIK663TMofqVc/uGhf2Cjf4sLCRD2UnxAEgkAQCAJBIAhMPwIh0BNuI6QNYeJy8O53v/uco80WKhbZ8kHCkDgPsfHT5UvMHcCpEIshnAuVs777iD1f5iOOOKI9TFhxEUkuG450IwsCOFdQd6TSQ38s2T4II7LsYTynZCC7SyGO3nbogUFuLUg9Is6qrJzddtutWY/vdre7zXtes8XAwQcf3OqExJLFgsTbD1miWZ+9Zh3RJj8XEL7g3EyGC4S56ksGVnfkHXZk8/IUvuNFvC1MjjvuuObOYzEEGz7xLPhwTQgCQSAIBIEgEASmH4EQ6GVoI0TM66q5AXAL4N4wtOgORSjSzCLJJcKZxNtvv307wYIVE+FDxoqQDdOO+3dZS8l88sknN1LopS9cTzwoiDgjlesj8uruIy8E02/xpau060s/WieWbAT6tNNOa3nxAz/kkEOaNRep5rvtoUJyzkV44W5HwFF1yLL/YSofhNYDiIi+RY+AXHMR8XKVheRURwSd9ZoP+Oreuv3Q3jd76NvNMo2Q241QtjTy9uZDMiQEgSAQBIJAEAgC049ACPQytRHLo5MdvtyfIHHKt77VToLgZ4xQ2sr3QZBZI/kFc29goUXquHsgg8tBmueCA/H1QfbIwWI8FzmdK+24r7Eac5NgFYedI/NYb+GHkHKB8Xs++aQRzwtcvNIb6Va3WpSoo4//tQMLMkKOZC8U5C2tF7ggytpS2w0t7CzTzqL2hkd1Qco9VOr8aEQ6IQgEgSAQBIJAEJh+BEKgl7mNECwkiqXSMXBIF4KF9LHo2vb3Qazqs8wiTnVxRVC/1S9CYOfV4NxAlrK4kA7RZiXmWnPqqac2Uu26AHeLmT364+f+r7dAj9O1osr1tkL+3BZIXgqz9dZbL4qkT3XjRLggEASCQBAIAucRBEKgV6ChEbX6DIsvwuw7YX4EkGgfoSzH88ee+w78WZ65bDjWzotjuNa4zvq/4447tuMCLWyWQs7nLu1/V6tcL6hRNnLO0m0RlXb/H075FQSCQBAIAkFgmhEIgZ7m1olsE0UAmUXEuVJ4uNE39w6nm3h4kNvGpEitcpWfRdNEmziZB4EgEASCQBCYCAIh0BOBNZkGgSAQBIJAEAgCQSAIzCoCIdCz2rKpVxAIAkEgCASBIBAEgsBEEAiBngisyTQIBIEgEASCQBAIAkFgVhEIgZ7Vlk29gkAQCAJBIAgEgSAQBCaCQAj0RGBNpkEgCASBIBAEgkAQCAKzikAI9Ky2bOoVBIJAEAgCQSAIBIEgMBEEQqAnAmsyDQJBIAgEgSAQBIJAEJhVBEKgZ7VlU68gEASCQBAIAkEgCASBiSAQAj0RWJNpEAgCQSAIBIEgEASCwKwiEAI9qy2begWBIBAEgkAQCAJBIAhMBIEQ6InAmkyDQBAIAkEgCASBIBAEZhWBEOhZbdnUKwgEgSAQBIJAEAgCQWAiCIRATwTWZBoEgkAQCAJBIAgEgSAwqwiEQM9qy6ZeQSAIBIEgEASCQBAIAhNBIAR6IrAm0yAQBIJAEAgCQSAIBIFZRSAEelZbNvUKAkEgCASBIBAEgkAQmAgCIdATgTWZBoEgEASCQBAIAkEgCMwqAiHQs9qyqVcQCAJBIAgEgSAQBILARBAIgZ4IrMk0CASBIBAEgkAQCAJBYFYRCIGe1ZZNvYJAEAgCQSAIBIEgEAQmgkAI9ERgTaZBIAgEgSAQBIJAEAgCs4pACPSstmzqFQSCQBAIAkEgCASBIDARBEKgJwJrMg0CQSAIBIEgEASCQBCYVQRCoGe1ZVOvIBAEgkAQCAJBIAgEgYkgEAI9EViTaRAIAkEgCASBIBAEgsCsIhACPastm3oFgSAQBIJAEAgCQSAITASBEOiJwJpMg0AQCAJBIAgEgSAQBGYVgRDoWW3Z1CsIBIEgEASCQBAIAkFgIgj8P3Owj4ute+taAAAAAElFTkSuQmCC" } }, "cell_type": "markdown", "id": "f7f4b41e-56fa-4461-9f75-ac2046b1bbcb", "metadata": {}, "source": [ "\n", "\n", "
\n", " \n", "
" ] }, { "cell_type": "markdown", "id": "398f2b3d-8a6d-4a0f-a5db-c56a492aa5d2", "metadata": {}, "source": [ "Hätte L seinen ersten Zug anders gewählt, hätte er vielleicht gewonnen. Man kann sich auch Spiele auf einem 10x10 Spielfeld vorstellen, beziehungsweise diese spielen. Sie allerdings zu analysieren und alle möglichen Züge zu betrachten, ist kaum möglich.\n", "\n", "Aus diesem Grund beschäftigen wir uns im Rahmen dieses Notebooks zunächst mit Spielen auf kleinen Spielfeldern. \n", "\n", "Das soll aber kein Grund sein, dieses Spiel nicht trotzdem auf größeren Spielfeldern auszuprobieren. Zum Beispiel [hier](https://staff.fim.uni-passau.de/kreuzer/Spielesammlung/Spielesammlung/Domineering/index.html)\n", "\n", "***" ] }, { "cell_type": "markdown", "id": "c46bed5f-aa6c-4f14-ab07-511767b127ea", "metadata": {}, "source": [ "Spielfeld 1:" ] }, { "attachments": { "8f152a8c-bce7-423c-ab73-864b239c2693.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "b9e9897f-4131-463d-9829-4ad4f354622a", "metadata": {}, "source": [ "\n", "\n", "
\n", " \n", "
" ] }, { "cell_type": "markdown", "id": "d250c61c-3cce-4525-a677-f9b9bb0cf711", "metadata": {}, "source": [ "
\n", " \n", "### Aufgabe \n", "***\n", "Wie würde dieses Spiel ablaufen, wenn R beginnt und beide Spieler möglichst ideal handeln?\n", " \n", "Wie würde es ablaufen wenn L beginnt?\n", " \n", "
" ] }, { "cell_type": "code", "execution_count": 1, "id": "98b75ff5-c604-481c-9c5f-5361ac8b881a", "metadata": {}, "outputs": [], "source": [ "###LÖSUNG AUFGABE \n", "\n", "\n", "\n", "###ENDE" ] }, { "cell_type": "markdown", "id": "d3fd5ae9-febb-49ab-a919-c58c46705b8d", "metadata": {}, "source": [ "***" ] }, { "cell_type": "markdown", "id": "4e9caa7a-0bc9-45fe-be29-87a8522c8ff6", "metadata": {}, "source": [ "
\n", " \n", "### Recherche-Aufgabe \n", "***\n", "Recherchiere das Wort Gewinnstrategie. \n", " \n", "Hat einer der Spieler auf Spielfeld 1 eine Gewinnstrategie?\n", "
" ] }, { "cell_type": "code", "execution_count": 2, "id": "878481ca-f94a-4e2b-8914-8f66800196e9", "metadata": {}, "outputs": [], "source": [ "###LÖSUNG AUFGABE \n", "\n", "\n", "\n", "###ENDE" ] }, { "cell_type": "markdown", "id": "60e7973e-9040-4131-8cb6-672f07b700e2", "metadata": {}, "source": [ "Die Spielfelder sind - wie oben beschrieben - als Zusammensetzung einzelner Quadrate zu verstehen, die nicht zwangsläufig zusammenhängend ist. Wenn man die Größe eines Spielfeldes durch die Anzahl der Quadrate versteht, sind die kleinstmöglichen Spielfelder von dieser Form:" ] }, { "attachments": { "f1463bba-8872-4f24-be7a-cd76643b692c.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "b5da25d3-9d83-42c2-9072-790d18963f55", "metadata": {}, "source": [ "\n", "\n", "
\n", " \n", "
" ] }, { "cell_type": "markdown", "id": "fe9d749f-acd6-419f-84bc-45e58a70e4d5", "metadata": {}, "source": [ "Wenn wir diese Spiele untersuchen, kommen wir zu dem Schluss, dass bei Spiel 1 und 2 immer derjenige verliert, welcher beginnt. Bei Spiel 3 verliert - unabhängig wer beginnt - Spieler L. Bei Spiel 4 verliert - unabhängig wer beginnt - Spieler R." ] }, { "cell_type": "markdown", "id": "791fa7cb-8f97-4137-aa37-2c48cc968517", "metadata": {}, "source": [ "
\n", " \n", "### Aufgabe \n", "***\n", "Beschreiben Sie für diese vier Spielfelder alle möglichen Spielverläufe.\n", "
" ] }, { "cell_type": "code", "execution_count": 3, "id": "f337b1dc-5826-4fd9-ab71-7408693e6005", "metadata": {}, "outputs": [], "source": [ "###LÖSUNG AUFGABE \n", "\n", "\n", "\n", "###ENDE" ] }, { "cell_type": "markdown", "id": "c4c41ff7-bd2e-4cef-ad43-46cf2f045042", "metadata": {}, "source": [ "Wir benennen die Spiele der einfachheithalber nach den darüberstehenden Zahlen: 1, 2, 3 und 4.\n", "Wir könnten diese Spielsituationen genau so gut a,b,c,d oder 0,1,-1,2 nennen. " ] }, { "cell_type": "markdown", "id": "b95a5653-c6e1-4146-a2c1-296acff2cd98", "metadata": {}, "source": [ "
\n", " \n", "Wir führen eine Schreibweise ein, die diese Spiele beschreiben soll: { L : R } . In L stehen die Bezeichnungen der Teilspiele, die entstehen, wenn L am Zug war. In R stehen alle Teilspiele, welche entstehen, wenn R am Zug war. Wir beschreiben Spiele also anhand davon, wie sie sich verändern, bedingt welche Entscheidung die Spieler getroffen haben. \n", "
" ] }, { "cell_type": "markdown", "id": "47fccde2-da2a-4db9-8e08-ef0fcd7519e5", "metadata": {}, "source": [ "Ein Beispiel:" ] }, { "attachments": { "f5a1f680-2b76-4dec-82d2-85e4b1380066.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "65db23df-50d5-410d-adc8-9046814debbf", "metadata": {}, "source": [ "\n", "
\n", " \n", "
" ] }, { "cell_type": "markdown", "id": "24b8537f-fa34-4c25-94dc-3b470b41c9e6", "metadata": {}, "source": [ "Bei diesem Spielfeld gibt es drei mögliche Züge, die zu den Spielen 2, und 3 führen. \n", "In unserem Fall entsteht also: { 2 : 3}." ] }, { "cell_type": "markdown", "id": "206ec58f-f0b2-4c46-a7d2-5b9ee018673a", "metadata": {}, "source": [ "
\n", " \n", "### Aufgabe \n", "***\n", "Bestimmen Sie { L : R } für Spielfeld 1. \n", " \n", "
" ] }, { "cell_type": "code", "execution_count": 4, "id": "8cce319d-a112-4f5e-9650-82b4c5f28b8d", "metadata": {}, "outputs": [], "source": [ "###LÖSUNG AUFGABE \n", "\n", "\n", "\n", "###ENDE" ] }, { "cell_type": "markdown", "id": "d6c9ba4c-e720-4a26-9f29-b8accb196830", "metadata": {}, "source": [ "Wir überlegen uns noch ein letztes Spielfeld: kein Spielfeld. Dieses Spiel verläuft genau so wie Spiel 1 und 2. Es verliert, wer beginnt. \n" ] }, { "cell_type": "markdown", "id": "3836720e-6b16-40f6-be87-77876fb5108c", "metadata": {}, "source": [ "### Games und surreale Zahlen\n" ] }, { "cell_type": "markdown", "id": "756f0d82-99e3-41fc-90eb-bd659cc08896", "metadata": {}, "source": [ "Benennen wir nun einige Spiele um:" ] }, { "attachments": { "d9f345b8-e415-48df-9b1a-56ff18c0ee55.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "cfaa4dcc-44eb-4fe2-afd6-f7ac2354d33f", "metadata": {}, "source": [ "\n", "\n", "
\n", " \n", "
" ] }, { "cell_type": "markdown", "id": "d753ede9-39fb-45f5-bb70-edadbd25d8b8", "metadata": {}, "source": [ "Wie Sie wahrscheinlich erkannt haben, folgen die Klammern unserem System, wobei bei keinem Spielfeld und einem 1x1 Feld keiner der Spieler handeln kann, also auch kein neues Feld entsteht. Die Mengen L und R bleiben leer." ] }, { "cell_type": "markdown", "id": "1e74f07e-8740-4c68-86ee-5c5a00123154", "metadata": {}, "source": [ "
\n", " \n", "Seien L und R zwei Mengen von Games, dann ist { L : R } ein neues Game. \n", " \n", "
" ] }, { "cell_type": "markdown", "id": "478aa3ae-5026-4c02-9d5a-89bd4780bc2b", "metadata": {}, "source": [ "Nun kann man sich weiterhin fragen, was genau ein Game ist. Die Frage sollte aber viel mehr sein, was eine Menge von Games ist. " ] }, { "cell_type": "markdown", "id": "d2c59c76-1311-46c6-b2c6-76032ae5bf6a", "metadata": {}, "source": [ "
\n", "Überlegen Sie, warum es bei dieser Definition nicht notwendig ist, festzulegen, was das erste Game ist, aus welchem sich alle weiteren bilden lassen. \n", " \n", "
" ] }, { "cell_type": "markdown", "id": "b7e2f91c-e227-42d8-baff-002db2efdfda", "metadata": {}, "source": [ "
\n", " Addition: \n", "\n", "Seien $ x_1 = \\{L_1 : R_1\\}$ und $x_2 = \\{L_2 : R_2\\} $ zwei Games, dann sei:\n", " \n", "$ L_{sum} = \\{ l + x_2 $ mit $l \\in L_1\\} \\cup \\{l+x_1 $ mit $ l\\in L_2\\} $\n", "\n", "$ R_{sum} = \\{ r+x_2 $ mit $r \\in R_1\\} \\cup \\{r+x_1 $ mit $ r\\in R_2\\}$\n", "\n", "Die Summe dieser ergibt:\n", " \n", "$ x_1 + x_2 = \\{L_{sum} : R_{sum} \\}$\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "bdce38c6-3835-42e0-ace4-0d4b1bb5adc0", "metadata": {}, "source": [ "
\n", " \n", "### Aufgabe \n", "***\n", "1. Addieren Sie -1 = {0 : } und -1 = {0 : } anhand der Regel. \n", "2. Welches Spielfeld würde zu der Summe der Games passen?\n", " \n", " \n", "
" ] }, { "cell_type": "code", "execution_count": 5, "id": "04458ebb-4311-413d-b335-8dd6c6bf5bad", "metadata": {}, "outputs": [], "source": [ "###LÖSUNG AUFGABE \n", "\n", "\n", "\n", "###ENDE" ] }, { "attachments": { "7159ea3a-8891-4eb0-a86d-7a58d03fc82c.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "ac33ea1d-2e50-402f-8bde-1d7a375749be", "metadata": {}, "source": [ "\n", "
\n", " \n", "
" ] }, { "cell_type": "markdown", "id": "41a31755-a7b1-4e1a-8435-ef240a5243e7", "metadata": {}, "source": [ "
\n", " \n", "### Aufgabe \n", "***\n", "1. Welche Games {L : R} beschreiben a) und b)? \n", "2. Mit welcher reellen Zahl würden sie diese Games benennen?\n", "3. Warum ergibt es Sinn, dass sie dieselbe Benennung haben? \n", " \n", " Hinweis: Beachten Sie, was Sie gerade bei der Addition gelernt haben.\n", " \n", "
" ] }, { "cell_type": "code", "execution_count": 6, "id": "cc5e9588-0043-45a6-8315-d2486b9a3c40", "metadata": {}, "outputs": [], "source": [ "###LÖSUNG AUFGABE \n", "\n", "\n", "\n", "###ENDE" ] }, { "cell_type": "markdown", "id": "392c4a88-f5ed-4322-b8d0-77719fa6b7a7", "metadata": {}, "source": [ "Es gibt mehr zu entdecken:" ] }, { "cell_type": "markdown", "id": "774365f5-a922-42d7-b4d6-022b67c51764", "metadata": {}, "source": [ "
\n", "\n", "Wenn man fordert, dass kein Element aus R kleiner ist als ein Element der Menge L, erhält man wohlgeformte Zahlen. Die surrealen Zahlen.\n", " \n", "Anmerkung: Auch wenn wir glauben direkt -1 < 0 < 1 aussagen zu können, haben wir noch nicht die Bedeutung von \"<\" in Games definiert.\n", " \n", "
" ] }, { "cell_type": "markdown", "id": "4c5fbbef-721d-4566-9f86-522fa5a3f1c8", "metadata": {}, "source": [ "\n", "Als Conway die surrealen Zahlen entdeckte, entwickelte er erst eine geeignete Art sie aufzuschreiben und überlegte erst dann, was eine passende Addition und Multiplikation sein könnte. " ] }, { "attachments": { "bb65c702-c740-4fae-9c17-2a524592a55e.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "a0a5af0b-ab0a-4010-a47d-0ffbefbd2ada", "metadata": {}, "source": [ "\n", "\n", "\n", "
\n", " \n", "
" ] }, { "cell_type": "markdown", "id": "7d8f38ef-c71e-425e-8a5b-5013e8281d08", "metadata": {}, "source": [ "Wie man sieht ist 0 nicht größer als 0, deswegen zählt {0 : 0} nicht zu den surrealen Zahlen \n", "Es bekommt den Namen * oder auch fuzzy. Es bedeutet, dass der Spieler gewinnt, welcher am Zug ist." ] }, { "cell_type": "markdown", "id": "79e9ca3d-35e9-4cb2-994e-ff80a3b645a8", "metadata": {}, "source": [ "
\n", " \n", "Denkanstoß: Welches Spielfeld passt zu {0 : 0}?\n", " \n", "
" ] }, { "cell_type": "markdown", "id": "eccaa6a1-d7ea-4638-8faa-3ac80526a98e", "metadata": {}, "source": [ "Durch den Baum kann man sehr gut erkennen, dass die Zahlen nacheinander entstehen. Wenn man dies fortführt, kann man unendlich viele Zahlen aus den Kombinationen der vorangegangenen Zahlen bilden. Diese sind ähnlich der reellen Zahlen angeordnet, was wir bereits durch ihre Benennung andeuten. " ] }, { "cell_type": "markdown", "id": "a7a92a2e-ee77-44bd-a973-e1ff16139239", "metadata": {}, "source": [ "
\n", " \n", "Seien $ x_1 = \\{L_1 : R_1\\}$ und $x_2 = \\{L_2 : R_2\\} $ zwei Games, dann:\n", "\n", "Wenn für alle Elemente aus $L_1$ gilt, dass $x_2$ nicht kleiner ist und\n", " \n", "für alle Elemente aus $R_2$ gilt, dass sie nicht kleiner als $x_1$ sind, dann gilt:\n", " \n", "$x_1 \\leq x_2$\n", " \n", "
" ] }, { "cell_type": "markdown", "id": "095d173f-b7ed-4322-b0d4-14ead6fcd592", "metadata": {}, "source": [ "Nach der Definition sind: { : 0} $\\leq $ { : } $\\leq$ {0 : }.\n", "\n", "Also folgt: -1 $\\leq$ 0 $\\leq$ 1.\n", "\n" ] }, { "cell_type": "markdown", "id": "ae7bef1a-cc94-4447-81c9-904bb9daf092", "metadata": {}, "source": [ "
\n", " \n", "Interpretation der Games: \n", "\n", "Ist das zum Teilspiel passende Game kleiner als 0, hat L eine Gewinnstrategie. Ist es größer als 0, hat R eine Gewinnstrategie. Ist es gleich 0, gewinnt der Spieler, welcher als zweites dran ist. \n", "\n", "
" ] }, { "attachments": { "d953eb91-7fd5-4a09-9ee3-42c68624938b.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "e9055037-66d8-45a6-b33a-0d3a7d014726", "metadata": {}, "source": [ "![image.png](attachment:d953eb91-7fd5-4a09-9ee3-42c68624938b.png)" ] }, { "cell_type": "markdown", "id": "51f3a20a-5886-40ab-ac7a-55a5fd83c8c4", "metadata": {}, "source": [ "
\n", " \n", "### Aufgabe \n", "***\n", "Beweisen Sie, dass für Spielfelder dieser Form gilt: \n", " \n", "Wenn die beschreibende surreale Zahl größer als 0 ist, hat Spieler R eine Gewinnstrategie, wenn sie kleiner als 0 ist, hat Spieler L eine Gewinnstrategie und wenn sie gleich 0 ist, verliert der beginnende Spieler.\n", " \n", "Hinweis: Betrachten Sie die beschreibende Zahl als Summe der Zahlen, die jeweils das horizontale, beziehungsweise vertikale Spielfeld beschreiben. \n", "
" ] }, { "cell_type": "code", "execution_count": 7, "id": "9bd46a7c-a4bd-45c0-bdf4-0538dee1b6ff", "metadata": {}, "outputs": [], "source": [ "###LÖSUNG AUFGABE \n", "\n", "\n", "\n", "###ENDE" ] }, { "cell_type": "markdown", "id": "cd9c997b-3816-4bcc-87ad-e56a30a103f8", "metadata": {}, "source": [ "
\n", " \n", "### Freiwillige Aufgabe \n", "***\n", " \n", "Skizzieren Sie eine Beweisidee für beliebige Spielfelder, die sich durch surreale Zahlen beschreiben lassen. Benutzen Sie dort gerne, dass die beschreibende surreale Zahl die Summe der beschreibenden surrealen Zahlen der Teilspiele ist.\n", " \n", "
" ] }, { "cell_type": "code", "execution_count": 8, "id": "79df2980-6c98-4688-b495-79fbdea0e1df", "metadata": {}, "outputs": [], "source": [ "###LÖSUNG AUFGABE \n", "\n", "\n", "\n", "###ENDE" ] }, { "cell_type": "markdown", "id": "b97acadd-6bf6-4690-88dd-abacbc1361e4", "metadata": {}, "source": [ "
\n", " \n", "### Aufgabe \n", "***\n", "Wir betrachten die Zahlen: {0,1 : }, {1 : }, {1 : 2}, {0,1 : 2}.\n", "\n", "1. Ordnen sie diese Zahlen in aufsteigender Reihenfolge auf. Was bemerken Sie?\n", " \n", "2. Recherchieren Sie wie bei den surrealen Zahlen der Konflikt gelöst wird, um dennoch [total geordnete Zahlen](https://de.wikipedia.org/wiki/Ordnungsrelation#Totalordnung) zu erhalten. \n", " \n", "
" ] }, { "cell_type": "code", "execution_count": 9, "id": "9a7157f3-9e67-4378-8441-f6086b914b5e", "metadata": {}, "outputs": [], "source": [ "###LÖSUNG AUFGABE \n", "\n", "\n", "\n", "###ENDE" ] }, { "cell_type": "markdown", "id": "2ef48fe5-42bc-46c1-bb2c-19cc17b9a3b2", "metadata": {}, "source": [ "Wenn man tiefer in die Untersuchung der surrealen Zahlen einsteigt, stellt man fest, dass man mit ihnen alle reellen Zahlen und mehr beschreiben kann. Zum Beispiel kann man sich eine Zahl vorstellen, die {1,2,3,4,... : } definiert und damit größer als alle natürlichen Zahlen ist. Wir nennen sie omega. \n", "Man kann auch zeigen, dass die surrealen Zahlen ein Körper sind. Damit sind sie in Verbindung mit der oben beschriebenen Addition eine Gruppe, also abgeschlossen. Dies wirft die Frage auf, ob es dann auch eine Zahl gibt, die omega + 1 definiert. Die Antwort finden sie [hier](https://de.wikipedia.org/wiki/Surreale_Zahl#%E2%80%9EIns_Unendliche_und_dar%C3%BCber_hinaus%E2%80%9C)." ] }, { "cell_type": "markdown", "id": "288790ce-9e26-4e1c-8e1f-32f93c5d6469", "metadata": {}, "source": [ "
\n", " \n", "### Rückblick-Aufgabe\n", "***\n", "1. Recherchieren Sie die Regeln des Spiels Go.\n", " \n", "2. Überlegen Sie auf einem möglichst kleinen Spielfeld, welche Ausgangslagen durch 0,1,-1 der Games modelliert werden.\n", " \n", "3. Fordern Sie jemanden zu einer Partie Domineering heraus, er oder sie wird keine Chance haben! :)\n", " \n", "
" ] }, { "cell_type": "markdown", "id": "22546827-6683-4d66-a5ea-6b1d8f89a20d", "metadata": {}, "source": [ "Quellen:\n", " \n", "https://www.spektrum.de/lexikon/psychologie/spieltheorie/14639\n", "\n", "https://www.spektrum.de/wissen/john-von-neumann-1903-1957/861603\n", "\n", "https://de.wikipedia.org/wiki/Surreale_Zahl" ] }, { "cell_type": "code", "execution_count": null, "id": "ad7e2de3-c570-495b-afc9-af8b3551e67c", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 5 }