{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "##### TP 3 -- Informatique CM3 -- 2016-2017 " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Python @ Polytech'Lille" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Le texte de cette session de travaux pratiques est également disponible ici:\n", "\n", "http://nbviewer.ipython.org/github/ecalzavarini/python-at-polytech-lille/blob/master/Python-TP3-2016.ipynb" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Modalités pour accomplir le TP et compte rendu " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nous vous rappelons les modalités pour accomplir ce TP :\n", "\n", "Vous aurez à écrire plusieurs scripts (script1.py , script2.py , ...). Les scripts doivent être accompagnés par un document descriptif unique (README.txt). Dans ce fichier, vous devrez décrire le mode de fonctionnement des scripts et, si besoin, mettre vos commentaires. Merci d'y écrire aussi vos noms et prenoms complets.\n", "Tous les fichiers doivent être mis dans un dossier appelé TP3-nom1-nom2 et ensuite être compressés dans un fichier archive TP3-nom1-nom2.tgz .\n", "\n", "Enfin vous allez envoyer ce fichier par email à l'enseignant: soit Enrico (enrico.calzavarini@polytech-lille.fr) soit Stefano (stefano.berti@polytech-lille.fr).\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Vous avez une semaine de temps pour compléter le TP, c'est-à-dire que la date limite pour envoyer vos travaux c'est dans 7 jours à partir d'aujourd'hui." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Tracer le graphique d'un champ vectoriel en deux dimensions" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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sBlt18G9Xq3Ye9IHfDes+gYIj0E8xm3rZxpY5z0NkPFysWGcxeyasvxBcv0Lr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3NN9ksUS8YotFhnmhpzdLFr+IJgzS/J1uXLrEOJIhZdQengfL+rQFotUuN2pcbFavExzWpvqjZc\nYKNLvPwWX/oFk8bSJbAGpShF7+5srOWz/xVeV7OHKr3b/j32VKU4hj8hoVRKN1XiJrsXUb4blWPC\nJZKlea901wMoDWsDkl9JVyRVGScl7Jc1QRddpFRK2Uv4sNsDxnHP43zxZLr/G5ti8uTJMPmd/ls7\nTKcTRTF8k+fM4lfLGFTGN4fzpZ0CFyFys8vs7UP2F6MyI7uWlf3o/RDlMUpn19zDyyfw4RqKwzeG\nbPPXRJlnFFW9FKwRiVzrJ/Yx3pExml4O+DWrGzl5BL89krLAPMEoorGRyrCcPOQrz8redz9nJ9tC\nS5rSmHUE057nO9dy7FGceyZFgffeKelNFkUZCdxe3MNwKanAJ+VMl0pKGS/m3LuXB9PvXAZdFq7R\ntJjndmbvp+h+SLBMjT9a7wq7eCMoEbhJRomUSz2vmxLfEp5z+aWf88uH+Ok5nHtMsIxcjkyWks5a\nlg5DSyul79J6MJH/zL/jB/99b328qC0fZGgZpw8O19lkrUZ1Bsc9taXbwh8l4+Pp1L1O2dBYBhFE\n2ZkSqfATRSSy0SbVagwXfhJd3ZA3iAZX8YOJ4QYRbZWgMQwiOg2i7Ym4BhHsuyeP/S2+Tp2ceW2V\ndT/LNvhJUZg3Lj9ncLZhPhVvQekNpFdQEdjfajObwx+VY2PJtHhNqbHBlVHLNfiD+V6z0YX2UC+t\nKsDj1NDME7N46EqOilnLkkxS0rlfdCjezSB6L95/o6iRXSq4dx/KA4N5tTZabr6UYv0Mjbeg1ldI\n9iPVP55O3ax8JVEMoihH9hWJ4k8GazxpmibNihQZarBIFBROeWUdAyp5/ER2Do/qdNJJEKWl7aPT\n0JYgOypR5JrQGWZoslJatW5iNnZsasstiWsUNcxqC531iCXT4jVl9oul8Yw14H/MMlCFsQGh13U1\nPHMtveOdKTvppGDeV/s5G1GX4R/70ifGpveYP3nJ43roY4FX5WI02JJ+hZJ2mPhc/3pso0i0EHUS\nyXBPUY1aT5omIeF//U46sNRxZQOPncCI7sFL6SSExiXv/T2dbDMNUaQMt6S6qQgMm7XapMZsCSld\nFT6j8J9ofI1Ud0piuMnJ97aqirff5DRr8aZSMQ20Nv7L0CCDCIb16zSICiKKyLTDmIxMfXyN7Zz3\n1Sha38qde7FbeE4VSCmyyRrrrbTWMsk4P1brKxTHNIqyLTTMpSqeKzvKzkSCVPgmVdzmuk5LO9iB\nSoT5FT87mtGdE0i2nZr78nPM4pBtYXbgbKN/IU7e345Eg8jVqa52L3Ai/Na86QZL/EmZAdaZFjau\nYTONr1IxPn5n/YZZbb1rwmg1X6s3kFYWwyja/FP0V+6MuAZjJ9vO6jupi1n5Sj5ZP2Y7kO2d99Uo\n6lfKYeGFElsokS9pqdTNAT4aJpJZkZ9dlXkzvqeo4c18M6wYnqJc+s+i7AySu0kkwhNwNhtFIw03\n1uhgnaLOmPy2k2th5QVkw8tTweKfsen52MuJoqxs7s+xdXYEDk+WOiMZXg0KKeXqzNdkuQ1elAw8\naCDvKYobOsu10Dg3lqeo3oNW+yKS6t0vY1WsJV1oD+Xvf3bGdkEsoxqyTcy/hPSm9/7ed6NhLstv\nzFdCxiQSs5fC+8gO8ajbbBQd4vgtrwsmPZM1ByBH66u0TA/TaViQT7JOpKgMPylFrbeJWq8nqpFt\nPFkU2HG0RLGUlGMdHa9jcwciG7eb6vqbaF1ANka7+tYNzP8u6Y2xO89lcjfL5qbF0thRuCbVZXPl\nSTAlbY0sk8rs6qwwkcY5rPsNja9TMY5M4AOtdgZ1L+cPYTGMopQ+MlbKB9FmKjIgSCch4b8MtVfc\ntigdhFYr1bg3nsiSG2hemt8r4rDgonw7kJg6kch6v423lveRHcYoGmBno+MkCKYGkZmTf93wG4oD\nT2+Lfsj8b1LUPf9naJw3OQhZolUSxSdLBE5DLlbsMAfprR1cch2AVWbYZEG4QHota76bfx3HKJp3\nFenqvBcgG96yO4rWac18G525AtAtEX/LK27rvTPMp5WGPvyLerLw80TNLL2EmkfDdOpf5ZW21iGL\nrqJhTthytvwcCb1cGrYWdFPibKOCr+9orHaVrBgenpbVLPp+/nWoYQ0bH2XD/fF1UO1etZ6MpfF+\nskMYRaXKfcjJ8Twhqa0SHbt+k2Rgt7CynWhaki+1zdRTFNiRMtHWSCu5t0TRiWEa6KePwx0cfH1H\nIq3RS35OYAt/sPpb5NrCZtnAwWz181j8860WtiF4Oa2Zy1At0hCssZmcnFqdE16LdVeil2HCq0IV\n9813QIeSQfQ8KUynbOjb4Y5sfXAjv1SbUdTFCUqFNwPsrUxljKaPHYlaj6ozJV74bMG38793wj08\nuQzzL3j7fYwwXEa1la4VvY+zy+KyQxhFYxwQvxQ/2RslpIZQdXa4TnnbOhLFDA9vxpZI5o2iZOn3\nJGKcbofbeUteUSfvzmt+o8n6cIGmV2l4+u33oZ6iTA0jr8y/7nkorWGbXTY3XSZ3W9u7+EbRQ2ZY\nL8YE3h2EYl3t6mwpMXKTEsm3K84GX5l/H0LpVvvezlcGLyelD4r1dGGwRkejWfjco6wGq10FolCj\nKF1D+bB8VKJ0QLgx0zCLXm25uMV9yYSHz1b7kayN4T/Tv5CJc0ANZIcwiipjtJLfQiKRD6F1/U5+\n0F4o5W0tuQef8fbroPUMInWwRFFg4ngnBbHWLAs9BKLQlg5lYxlyS/714JvbRn8E0H0/MrVUjWLC\nY1QMK1giinIy2V9KGNj2Pp5RtMBK95mutNPA1tVoA0MLOramZEi+8qzHCeEaZW1GUc+P0u3AYJmU\n3rr5rOK4h8sOwhot/hRjJuA6N0m3JbNHWsJEirsx6Cwy1Yz5NYPODNPpshddD0SC/V/Oz1QLoMEM\nG/0FMQy9rVigwVThXvJQdgijqN0om0Tl52JqDI3tJSLvKUqVXh07KbSjsD4bmRY4FTajxQw3xV9E\nIkXDMxT1oefZdDsuXGvTc/SYQLIoaAZaIpFUWvwbEt0UJb8klTw6eCkNmt3iITmRsjiVVjsIZXpL\ntMfYyJKhDJoc7iUiP1exuE8sLxH5pPGevh5Lo6PQIudSYblbkFUnqUxSF0mV8QyImufyf3afQNcY\nVdM1z+aNodJBwSHYBi8rM0ZCceyKumppF3pDRbuMZy2MTqNoa7r94O04fyhlgxhydjwvESTHSxQd\nGk+jg1CTixy1MR08FLbWUoNNAMUqRXFctg3PUHlwvL4zuTTVL+aHwsYgF60WRW9IJT+qpOgbQRqR\nyO2m2Cift9LpKWpHeh5Pj2Pj6wz6It0OiC2T0tmq/r2IRH5gnjnq9A48IKR00cMpcuoM9mNdHBG+\noOpn80ZMzE7map6lW7z9pq8vIKunU/T3tWCdjJxLzbVCiz7vwyGs0yjamlTf+BrJYkZ8N7ZMItHZ\n42NbaMhFjtmYNjMd2T3QKupphGJVSnT1Yf+jXOAGE+VomJY3iuJQ+wq5ZnpOiCWTyz2JpFQyfEDo\nU2Z51cIt79vDKHppZewuAzsGPU6M37QRdornle5k2/mTFf5hLQQbRVBvmoRilSaqilMIU/0s3eMZ\nM7LN1L0U2yhKW6/ZXF0cpLuPBev82GIz2nIX3w+jqPPJ+39BSWfr5/8EzVHkhE1p01ojw1NUJcMf\nMKvMMMA+qsSYedfyJtmN8Y2ijc9R1I2q8GabkM1NlUzsI5EI9wDsbzcrbTTLQikpxTG2jKY0lz9O\nJsc+A4NldhzaKzSeiteMsqPRmqYkwLZ/wSY3bXVA6BXjgd1gmgr7SMZJ1s+15PtUheYSbabupXz3\n/ZhGUb1nUaTS/sEa91jtz225VsUSurWTiRJF2/5x6/QUdbJdko4in9yU8WhL3uUwrjj8Vm5Ra4O5\nBsQchKnhGRLllIfPqkNbPtGB8XJNkI2elEoeFkujRLGXzDPBGBf472Cdl1exz/9yw/OcHXPqeSed\nFEoU8dybnHkjfwhsoTNKlTPtpEJKD8XBnqJITr1pKh0UtpDN1L6cN4zieopqpuXz0sp3jSVTb5oK\n46WEz+3aU1cH6aGHYn2VxGqzs6GWXzzA135JuoAG2+1iFP3hHjbG6FNH/qZ9paHTrb49kM7xesyO\n8o89yxmXct5VvBHQK7E54vzKlCIUY4/QhCKs9rIE+ok73uUZKg+Mn5e2Ock6BrlopSiaK5mYFEvn\nTcvUabK/3fQI3OyaM/z0Rd5Yz4GD2KNf+HqiiGfbYcRTJ9sPKzaxNubEnO//hYnfYOVGTg9M4alS\n5AFrHK2v/zFWt8BQcrM3ZW1UFdcoqn6W4l5UjIynszmfKIbnMhKpM02XmD9TV0VeUO3LhrrM8GCd\nN5ex0+lcehvnHVeYZ7A9UruvnLbwSstXs+dougX0KlzdyiGv87t1HN2D3oHPlAWeN8O9hsdw34H1\nF9Eyi/IYFni2menH5hOvK4eF62Rep+ZESk8kETjCBG96wz88YA/jY1nff1rEiVOpSfOxGIO9Fy3j\nD3/n8i8xPiBKVJpIGJJi16KEr1el9E4yInBAW5luehuju12Crt9CyQgqD4k38TyK6LYXvQ6JGYZN\nSSb2l0pOkkiEu/krlRmqr5HCf6aiJAcPoayID+/CnjEilHc9zscvYKcBjA98FjTJ+YyVektZJmOn\nwIdbjde86dv6Oloizvly1S9Yexs9jwnXgNe/RPMKuu0bLJFTb53TFBmmyKBgnaVqTfa0CQYpjREC\nWVnNPt9jYyNHx5ivPaQXC1Zx63l0iRGx2kWlCXoarjJ4H00qU2Z3lSbEu29KB9NzEhXhxgOoGEX3\ngymNE9OOVBijyn6xEvaLJOyk3BF621lgA2X07MKKDZx3LIe8w30zefJkmPxO17ZHUDvKZiPJwN/t\nxjQnzeWJtpPAr4dzZuBJcrGZHnKjU/1YVWiyLKz5POkFDH76vb/33Xh4GENPZ/SV4Rq51WwYQNf7\nKQ3fNBdb5Fa/dq7z9BP2D/xGNR99jKUNDKlgyX+HHy5aW0ml8l+ddAyiKO9lLInxO58xh8de5NX5\nnHMCh+1T4BpENso52ypLpPVT5B+GBK2l0VIzfMIefqm7GCHTFf/Dsqs4YEO8kOnLJ+ST/fcJn6UV\niay0t0qf0l1YxSI0SjvdfU41zr4GGBjoZfzDdL52J7VNvPlddukTvKTgXKJOtk/e7ffd1urmHZ9e\n7RI+CzWIoGcxNw9naNthdlqMAb2DjFGkxBIzw0Wg/FCaX8hXAMWh54R80mwckv1J7UY63iyZoXZS\npcpss7QG9pAY3Z0Hj2CXKpY18mqMEFpJSadB1NFIJOIZRLDvGC75HH/8XuEGEfmBpbep9qJma2Ut\njTGOoNwQZQbaJOZnvOtB+e7nTW/E0+k+kernYuUgJCSUOUSLZ+KtBQcZ4n7zTRZ+uPzMgbx1Nd84\nimsejLeeToOoYxH6+/5AJFqPKOfpcYwo45kYseNipQYba7GZ1nhLWqBRU3YIWml5MXwx5I2iTc/n\nT29xKD6M9FOxJBISxtjdLLPc7rdygV2bx3TnhY8xqR9/XxZrSZ108r5woZ5OlI/z18ipDhzXkJDQ\nwwSbTI+3oMq9SJZTOy2eTvcJtK6j8a1YMnmj6CW5GKNhHrXI4xZbrcFq9bIxen91q+B7J/C948nG\n3Eo76eS9+EAYRTC0lKfGUpZkbWAzzOXmKFNphTfc70eyCkg535ri4aT60xTPENFzQn4+TV3ME2Dx\noWRmEIVPOp/uObO9boP1llgsG2NuT68yHjmSgeEh345JpjV+JUEux4z72mc9HZSEhOv0NaGtHHpZ\nDG9RTweqN1ezlerNDRNJFlO1f3yjqNs++ST/6mdjyZQ6RL7Pe7ixd6wRJrTloUVoaIexD/26kvrA\nPLG2AzYupz58jtkWVoR3794e+UDdYv1LmLo7tYHP6y56WeB5OVlpzeEzrBKJthBazJyibnvme4hs\niLdJKT4MWdLPBj9UD3Cg3t4OyGdCDcbNS0py1ohYEh2L5lruvTBeb5pMmptOZVdyo10AACAASURB\nVHk7bVLpjjvxvkTCr/S3q2JLAz8LzVZqthrMdKYar4UvqOtB1MU0ilLldN07X70YgyL9FRmh2dMa\n3BOkkZBwnn0NasslqmunAaGdbCOr5vKTY6noHk/ntQe59x3zkXdYPlBGEfkco10DqwO66ecAn9jy\nPta4hrJDaHqW9Fu0xjgBdt83Xl5RlCM5iOQutPyNxivCliLpRCcplR92G8dT1EmB1KzkxpgjW1oa\nue54pt3BmHi9h8Ccm1nxWHyd7ZjuUn5roMbAw1Op/taZAtI2xpuH1uUgmt+idQ25GAZEj4mxPEWR\nSLVrJSTVuUVtjJmAFYpdYqISqU6jqBByGZqWh1+/aAbfP5jeO8VL+H3uD9x4LLvErObeTMvq9tH5\nP+YDZxTFZawPGWgUYkw7b3yM5ulEdSzdk1yMjOLNydbrn6Z5TYBARO0xRBtpvpnMK8FL6aGHY3wc\n8T1FHYrsBrKB98CaN7lhIitfZeSHwzQaqrn6KGb+g9IKdgnIMN5MLsO08/Jfgw4P19lBGKp4S35R\noSQkjXSZRFtJfzK09Dy98e3GeUsuZdWNYTpRlM8rqpvF2geCPEb5ROsDpc1Fq4TwNiAwTDfn2qfT\nKNpWWtYy4yiiwP159hR+eDj169ltUvg6HvkJvzqVbIZRMfeJKMfCa1hzVzyd/xA7nFGUkDTJGYqU\nhnuKyg6iuW1DiepJdg3TWXwLG6dT/ybPfIhkQL+YRIqKbxO1dcdMhG3gmxlvT7sbG55v1dFofJxV\nx5IM6L2x6Fl+chCblpBMseukgL+/lh/8F2+2VQONnEhRYFlFSzUPHsPrNzHoQxSHd57dkUjF6ExS\nYWdDnQ4SoUZRspTXP5R/vfY3JErDdDZMyT98RLz0XwQeCsscpsLxIBFnDEUbh9vJKL1i6+zwVD/P\ns/uQqadiWOHXv/gXbjiG5rbc09EBxkwUcdc3ueP8/PuK7gwdX7jOZtI1vHIiC75J3xPCdf6D7HBG\nEXTVxwSnhHuKkmX0/vFW7wObUQ08gdpZ+ddRjuJAneIJlH42/zqmUZSQ8HHHKXkfBu1tV0StrL+E\nlR+m/MjC+8dk0yye/nYO0dD9KQ/4/Vd05Uu3kCqmvCujA8NwNfO550CWP5J/v9PHw3T+hXpPyYjZ\n3nw7Z4jPqjAsPHyWqmSn77/9viiwx1qvD1O0VQ5JcXjzz+4mS6iK7SnaTJfO/ebfE0Us/SXTD6F5\nOf0/8d7XvBO7TmTkofk9p7IngwK6XeayHPApurTln448NH+gC6FuFs/vy7p76XEoZdvHwMMd0iiC\nMSapiNFZU+WxlLeFO0KNopKejPpO2+se8RqzVV2bN4gSgV6rrahQoYv4OjssrfNYPpHqH+bfd/18\n4RqpYvqPoWEDe50SHjqLIn5zPgNHMvlJ9gjUyTTTfavW4UP/K0ynjVZLLPUFG9yuKE6j1B2ApBIj\ntgqjBdHnVKraOlGHGkWJBKOut6UnXQyjqEh/3Xwj3sDSDkZGs1qLCrsoiph/BbO/lB/KCgMCjaL1\nS5gzhTNu5dAzw/KJUkXMeoimGr56N2M/EriWh3n+QBrbZjj1OzlM51/IaNZkfbto/TvaZwTtB5CE\nhFScTSqRoM9PWLoXicpwnV2+zMKfxR7uKdmfiiuIOm7FUAhZWalCTvDZ9Wy4mJaX8u/Lj6B4p8L/\n4tYm/nou447ntD9SE5g4+dL9vPIQ33mMYTFms5V0YfmjjD6H2gV0GRokk9NonV/Y4NciaTvbPvIE\n/q/pZk9ZTeECiSQ738Csg8ONIvIjYgadzorbKI5nrHZxpro4xSodhIxGi9xnsfsd5EeFXZxIsMs3\nWHUHTUvy1YPlAftNLsvvz83n/xz0ufDeeJtW8vfJHP0N9j4+rxtC76Pofworf4ME/cKHSUNao4Xu\ns9zTDvXDWFrvxQ5rFLULJWPocVm8MupkCWN/yLx2+EWWf5X0E/F1dnBaNJnnFQu87ggn6VqIJyPV\nm7JDabg/bwx3PSNsEVOuoW4NJ/4kf2LrEWCEtDbz2/M58CTGfihsHeRPo1PPpGoIE28gE9aUr9FM\ny3xVpq0MvcohKsTIN9jBSMX1qnQ9iN6nxDOKYOT3WPePsBzGrUgo0sVZ8dayA5PWYJF7veVv0urs\n5jQVISOU3vg66Q3s/zh1gdOOp97MiteZ/Er+eZUIDHndeRGVvTjmsvz70NDZ2vtYeRtjf0fNdErD\nRku1qrPAvd7yd2n19nOx4hgz0baFTqPoveh5WXyNAcdTPz++TqKEkqPi6+yA5OQsNc/rXjDfqzLS\njnNmYQYR+YadGy6h19X5BPvK4wtfzJq5PHYtx1wdZgxt5v4fs2kV3ynw9PmvvPErVk3luGkUleW/\nAii3p0oHqJGfrdXHV+Otq5P/n52uzecYxaFsILtd2y7LCU4e38Gpt8LzvqXBSlCun10FhL1W383y\nX7Pnn+l5cL6lQqHUrssnR3/4PAbtXvj1m3lzKs/fwVf+lq9yDaVlNbPPYMCpDDyN/p8KklnjZS+4\nRrqts3pv4ww2KXxd20jnHf9ehFaC/JNGgl2/Hl+nk3ckEpnhCc+4f0v/pT0dbGShXozMKlafQuUx\ndP8GEoV7CaOIv36ZviM57GuFXbs1G5Zz99Ucfyl9Atzpm6lbwvSLGPd1+h0YroP1fqnGvfo4T6MZ\nKuwdpJOVs06dlWravqoN1dNRxgRPHt9hKIvxu96aQZ9tH51O3pEK/fUweotRtLuzpRT4rGheyetn\nM+hzb+cRhaRZ3HU5xWUcF9bDDvnGsL//CmOPyofNQolyvH46qSpG/TT//yXDzIyeRuliqI3ekJA0\n3hf/I/tDp1H0nyLZOY3wX8mJ5ESK2iHfv0jRluyH3gaapMAPdpTOG0SJCvr+NjwH7OU7mP845z2T\nT7YO5fffoGsfjr04XCOKeOpsKgaw33fDdbDRHda6Xn/f1svntLY9DArlRYv9zJPSWzUPPdJoHzG6\n0yBqT+KE/HdQIpEnrNS4pR1JYsv/DlJhT723SSer1Uu+b62XjHOuVaYZ4OACF5Nj1ucp6srowL5U\nsPAFnr6Fs36Xr04N5bGfsnpe3ksU595Z+lM2PMp+T4VXW6NFjWm+rck6wx0Hutm5YJ03VVuuXkpS\nSmLL17vRLkZRJPI9C/RR4hA9jVYl2bnBdfIeJHCJOTZoNVKVUarspspwlcq2MTm6RZOH3GGeV010\nlEXe9FGfUlxoCfCGy/MDgAc/RyqwNX5jNfdcwIFnsstBYRow56l85+oL76IkRp7K3FtZPoVjn6Io\nXKfGA1b5jj6+opfPgRKFl9c2SVujTrHUFqPoJHs73viCDaJVmjTI2DWw8WIn2x85UeznSp20m8ze\n8j6B/7azIwzapuszGr3gStXmm+D7ehmnv4mFG/RLbmL9FA58muJAYyaX5fZzGXEwEz4TpgHVq7jn\nCj56Ef1HhuvUzWL+N9jlW/QI3/8arfGMb8lJO9R1SnQJboxapdiNZm9lCDPUu/dnaw/LJboimmeB\nBm+2xf56KXaIng7WwwG6K9+GB9xiS/TXT1nMvhhRdp5EKsYvlvzQzbpVdNu2D8q/pbk+f+NWxGgN\nAHXLqRoYu4ItY64iu8XSyMqaZaHxdpWQ0KhZRcDv7Bkb3GmFpZqs1vJP/21/3Z1vuOHePbciEvm9\n69Xa6BifNcwoNTbqpsBS5JbXWDaevreGld9v5tFrmHo9l8/NJyuGcvVR+XvwW4+En9oyzfxxGMM/\nyUE3BC8lbaX5jtDDJ/X3nWBvznKbXOUBGTkT7OJJ851hog8VeD8u1WCqNYaoNNksR+jvTLsYWGDy\nZY3VSlQoj9uaonkhpTvH98xUr6B7zP0ml6VuPd3Cklq30LIxH/IIfVi30WBBW/+meGfvhy20l36W\nqLVCneOMKPg+nGOT75tp9VYVgkNVush4YwrIO5zhe9Z7zQTf182uBa1hC+lNPDGUnS9gRIy5Yq8+\nkJ9vNnkmQ/YI1/nLpfmRHte8SWmMfLaXPkKmjv2eDg6ZRbKm+LKEpIN8V/k2eu/+lazIxaZ73cYt\n3QqLJHzarj5puNJEEf/G/mkXo+ir0WwrNVvcdsOVSTpAd4fo4RA99XqPU3tW1g1ulJVzguMM0N8y\ny41uG9exreQyj8s1fkSy4kHJoiODfyAPXsTcf/CVVygKrOCIIi7dlxEHcNbPw9fStIGbd+bw6xl/\ndrBM2is2OFw3NysX3jNijsV+5m92MdBJJvmbJ53uY3oUeGJ/wSYPWatJ1uPWq5JyjP5ONMCwAh5w\ny8zXQ19VcXpSQfPzlB0QTyOXZe3cfH+iODTW5DtZ9x4ST6d6HpWDKI6XuNvgBRX2lYgR5szJedBs\nh7Y90N6wyn6GFawz3XrXmWPtVoZ0kYRjDfZZO+u1jXkdD7panXWOdJEebdPcC6ZlKa+OYOeb6XN6\nmAY891v+fB6T59E1hkHzq7PyE82veCZ85lUU8fBe9NibA24NXkpGgxecoIcDjfKdYMOoVosveUi9\nVkN0tVStiQY5z34qCmi5slGzuy12oL5+Y55RujvNCCUFNtxssFIkq0rMz2btq1SNiZdWEUWsmM3g\ngCaNW5NJs24hA+IdmLWuI9tEeYziEmzwhi4GK4npBf69+QaptEidV21wgXF2atNM5A8x/3dGUS7K\n+aZ5uihyiB721W2bwx+bqVfv7+432xzD7WKZ5c5xtv4FlDhGUSTX9ClR5hGpqhckkoGW/Ia3uHEs\nk77J4d8K04DHb+Xms7n2pXg9Zh77Oq/fxhlz6BLeFbTWZRrdoqe7lQh3by6x2l9NtdBKCfTRw9ed\nrOt7eHbeib9bLRL5iL7b5FHspBP4uXnusAT5MR09lRikwjl2NdZ7hz+b1JjiejVWOdx5SOimv6pC\nT6ZLLmDtzYydQfno9/7+d6K5nsmj2O1DnP67MA1Y9DLf2pdzbuPQz4XrLLuLaSdxyL0MOjZYZqPp\n5viGXibFMozSsp630k/N2BIGGajKpSYaFnAYWqnBwIC9qpPtkyXqDPmXlJ7/iFGUF4snF4k870X3\nuR/00N2XnKOygBs4ihplGw5Gs1TldInQDtBP/oDHr+Srr9E7MByXy/HNA/J5IVc+Ge5ib23gtrH0\n3ZPjwxPhIlnVPqvVNL08qsiIsPVgnWo3+LNq+Tk7A/V2vk+o7OyA28n/MVmRmTbqoURPpbopDso1\nyWj1tF9Z7HndDVaphyNdXNg+lmtlzkHkWhj7PMnA+/+lv/Drk7ngSUYEjnKBX5/DS/dy/dx4Yfvn\nTmX1oxz9OmV9gmW2NoyG+5oar+qj8J5b061wvwXqtKjTqk6rCF+ytyMCPI6ddGz+z42iKGqfrqdp\naff7h9fM0to2VXmYnXze5xQVcMqIcktlG/aTSB0gWX4P0SaJZIE5Htk0P9ubyr6cMSXcoJk3nW9N\n4Pw/MfGUMA1Y9Ah/OYrj/spu4d1BI402+i85G/X0qFaPK1f4ulZYZ65l3rLCQivVarCT/s5zkrLO\nOUf/UaJcTiI0XNLBSWvyD1fb0Dae4VBftKtDChNpfotZe9H7VHYODJVHETd+hNrVXP5yeOVi7Xou\nHMlhn+fU68M0oHUTD46j14Ec9JdYOVObDaMSeeNqX3+SjDNtYPMSZdVp1V1ZrKG+nXQ83s0o+kDt\npMWKneA4l7vE55xmf/vZaJO/u7+gifeJ5FCp8rtEmYfkWi6TbTpeFBXYrjxVzPG/YtETvHJ7gT/J\nVow8kEM/y+0X0RzWSRjs/BF2/yxTvkJz+ADOhArd/Qk5G31ErYvl1BasM0gfH7K3s33c933Blc5w\nmD3N8lbw2joa2UUFzkn6F6Jczvqf/UzDM8+004o6HhssVbZV7sLzfq9JTWEiZcPZ5Ves/QUb7yJT\nS7a+MI1EglN+mm/8+cRNhV27NV17c/L3ePhGls8J1ynpwf63sPwulvwxXAel+upqvGbLNVtutXti\n6W1ZopReyjsNom0gW1ur5pZbYuuklyxRf9997bCiDy4fKKNoM8WKjTTCcT7uGy50gP01KnDmV+og\niZLLRK0/JPuMKPNQ4QsZOoH9vsg/LqAhxhC6z/yAhmru+UG4Bnzox0RZnrgolkzOakVGyVokUqtJ\njDwG+bBpH90dYIz9BOZVdCCyS5eqO+kEmRdfCNZofuMNbx1yiA033aTy4AJ7pLwTq1dQvTG+znZG\nf7s5yiVOdJ1RPiwr7Tm/KVyo1yfpcxYLz2TZxWy6N2Axu3Hkxdx/Rb4aLZQjzmHw7vz2vLwHKpQB\nR7HrF3npKzSuYEPY/Vqip0rDtwzMXeIWGTEOiJ0URP3dd1syerREaXgj4iiTsen66y0dN07J6B17\nj/9AGkVbk5AwyMCC8opAbo4o86ctb6N0oFv7I9/PVwg8dDG1q9i0pHCNHgM46Tvcdx1rFoatA8p7\nccRNzLqVxVOY8ZMgmSKjFZtIWyl9g1+Kturj0Mn/DVFrq6brrlUzbrTs67OU/PdJBWvkWlutueoq\n8/fcU+Ozz+p9/vnxQmcN9fzkCi4+lW4dd9p9dwNN9HmnuEkfw61X4Oc0l6b3Z4gyrP0V638ftpCP\nXk5lT+5qO/hkWgvXSKb43E+Z/Rgv/i1sHZsZfx2lvXjmxHzydcCg0WLdDXe+/fxZX0dLq7bCHfHW\n1VHIZnniz7QUPmw4vXy5lccfb9WJJ0okErqcEpa+0TxjhmX772/9RRcpP/JIJbsGFjBtzaLXWT4v\nvs4HlOiDSi7XEGWazo/SNYkoXZOIctm3woRe+3MUXS6KfrZvFE3/eZhGuiWKzhsZRdedEEVLZkXR\n2sVhOrlcFP3141H046oo+p+uUZRpDdOJoigdvRVtiI6NVkXdosbor8E6HYqaNVE07fb876EAWqc+\nEW0aNzraUCTaUCRq+tXNBf/Vmbq6aOFHPxq9SvQq0es9e0bZhoaCdfJimSj6yy1RdNCAKBohip5+\nOEynkzy5bBSt+GEUTU9F0XRRND0ZRa2rw7Rm3h1FXxRF026JorsvC1/TTz8TRV8dGkXLZkfRq4G/\n31WPRNGUQ6LoDvmvddPC19NGXTQ3mhNdHrVEG2Jr7bBks1H0+J1RdNqoKLr50oIvr7nttmh+VVU0\nj2ge0cbrritYI5dOR2svvDCal0xu0Wl89tmCdf6JZXOj6OpPR9FZ46Iok46nFQP+fT7OB95TFIdE\nokKq7H+kKp4gMUyu9ebCRVrqeGtKPsdoxQzmPxy2mKISTr+BF+7mB8cwe2qYzht/YskU0vW01rLi\n2TAdFNlFD/fo5hea3FFQ3laHY+3CfPfYi4fRfUBBiadRJiO3fLncsmUgMWCA0s8WXjKdqqrS67zz\ntvzdvb74RcmKgMGNLz7N8Xtz+ZmsXcW+h3BQjL5eneQbqw68mDFPUTIYOTbcWbhOFNFrJ/qP5vYz\nmRUjf+PTP6R+I1dMYOYDYRp9DqFqK8/AspieJ1QZabSrFb1HZ+EOSRTx7H2cvTeTT6F2A58pfCh5\n1Sc/qXj4cJDs0kXXswvvcZcoKtLtnHMk2vaYsoMOUj5hQsE6YPVirjuDM8bw+B85+4ekPphTxnZo\no2gziaLDpKpeRbEoannP7/8nSruw79mUtYUWFj6er0wrlJq13HNN/vX6pbzxVOEaMOZTHH0rqbb4\n8MJ/hOm0kZBQ7lO6+6Wo0LytjsDil/nFJ7l0BI//nL1PZMwRhWmkUvn8oZYWyVGjlJ1/QVB8v+m1\n1yw9+WTdP/1pPc85R69zzy1YA4zbl74D3n7/9e/F78jcuIZXf8ILk+PlsWzvdJnI2Jl0/1hYCC2R\nYOXrrJ2ff7/ydWrXFK7T2pxv5thcT1Mtb0wtXANSZfmE671vIpFi+d3t9vtNdlap/v/c/TOu+iRv\nvZp///nJVBbWViaKIuu+9jXpuXP1uOwyXb/wBaluhbdnyDU2Wn3qqVK9e+vymc/ocVFgLuuc5/jq\ngTx8W77B7b5Hsf9Hw7S2E/4fe+cd5kTVvv87W2FZYOm9WbAAVl7sCIINRUERbNgLNizY9RULL4id\nJioq0gQFkSZdeoel14WFBbawvSXZ1Pn8/hiqUjYz69efmM91zRVIMnfObCZn7jnnOc/ztw2BWcEI\ncdrjMLm74bNzzGm0PYusaezfCj3qw12C586ypnGI1KUwsDp819yeTpgT43HCz6/DQzK3pxOgIPQp\nEfdHH5IbJTzjxuKbOwejsDBkDV9aGlvr12fn1VcT9HisT5sBDO1rTpn17AoP32Bdx1sM20fBlBth\nSAT8UB9KcqzrnU4YQUjrDyUWp+w3z4CeceY02upx1jS8bvjoVrhHcK8Dim1OVx2YDxOrQ956ezqn\nO0E/5C6Gne+DJyO0fbevgY5V4VrBA+eBP/Qpptx+/UhyOCiaMAHD78efEWIbACMQIK1TJ3YlJODd\nuhV/aipGIBCyDgCuInjxWmgnuD4Cdm+ypnNMA4NQmAj7voRASci76yTTZ/86U2QLVy58cw3Mfsu6\nRlYK9DzbNEa5afbak58Mw86Fwn32dP4NBIvBvRyCIfyA3IXwUXt4Is40RfO+CvljPSN+MGOIvvg8\n5H0PEXQ6SbrkEraddRb+HJumY/jnpiEaMQC8Hthq8QJXvB/GXQSDZW5DIiHdfrzJaYcRtL7v7hXQ\nqxqMfsK6ht8HQ+43jdHqSdZ1DuFMgf1loHO6UZIK+76FtV1gdmWYLkgdHZrG5uXQoTK81B6+fweW\nTQu5GUU//mjGEH36acj7Hk1Wz57sjInBvXChLR2K8+G5K+DOGjDtG/j8SetangxIGwEb7oV5NWB2\nNOT8bkkqbIrKEl8JLPnMnkb+AXjlIlhq8Q7waEryIKsMnPfphD8bimdATl9I7QrJTWFbJOR/W3qN\nvDT474XQsybsXg3fPWoGP4aAd8Z0cmMjcb32SogHcAQjEGDPbbexuWpVPElJlnUAGPOlaYi+6W9P\nB8CdBVNuPmKKEj+yrxnmz2Rsh8/b2dMIBmHE8zDyhbJpU5hjCZTA5qdNI3Ro2/lBaBrrF8JN8fBa\nB/CUQHFByIs53AsXsjMmhsxnn7U+IwLkff45SRJFP/5oWQOAghzocQl0rQMpW8zzsMDiTV1JGqy8\nCmbpyJY2wnLTwqaorLFxwh3GmQ+LbZ50YY6P/wDsuQy26eAWAQWjSr9/6hbo1RBeOxsyD05/+ENb\n5edfuZLcSnEUP3A/Rohm6mjSXnyRjTExOBdZnLI9xITvTUM06D17OgCp82F4XfihASx7A6beYm9E\n5CAGfgxcBMknSJ79dp4u5KeCz2NPwzAgcWrZtCfMsRRthKWXHTFEGx4K7Rqxeg7cUB7e7gw+r6Um\neLdtY1eVKqTddpv1aS6gaMIEkhwOcvv1s6wBQN4BeLQ53NMQUnfa0wLIWwxLzj9iiHa9b0subIrC\n/Hvw7oH0h00jtE2wLQoKx5d+/x2LzNihDy6HomxLTQgkJZFXuzqFN9+A4bXWyQFkDx7MBom8USEY\nuuMxZQw0dcDHr9sz9MEArOxtxg9Nuw1KcsF1wHIckUGAIh4hm+pkU4ls4skmnjwux89m6+0ME6YU\nBHHjYRN+MjCwkNokUAI73oIZUbC0Jez9GlZeB8EQfvPLf4P2sfBut5BvvA7hP3CA3U2asLdlS4JO\npyUNAPeyZewsV44DTzxha6SJrP3wYFO4/ww4YDH1zCF8ebDlCdMIrW4P256DzY9Y7sd8pBCg4P/e\nFAUpIYj1i0GYfyd+8sljPB6SMQjxpPelQcbTsC0adjWGgh8g5VoomlJ6jVXj4bFYGHA7eKwFMgcz\nMsg/uwkFrS7FKCqypAFQ+NtvbIiI4MC771rWAGDmBDg3Ev73gj1DVJwKE6+FL2Ng/QDbo6VBsijh\nO/K56bAZyqYiTt7GwOaoSJgwpcDAIJ1H2El9dlKfZFqwl+tI51G8nGJ0I2cBLGwKs+Jg92dgBMCX\nb26lZdGv0C4a+j5g5g2zQNDlYm+rVuxu3Bj/AYt5sQDvzp0kV69OaocOGBaCuw+TsQfuawIPnwvZ\nqdZ1DAMyxsH8Wmb8UPpo8znnDghaz81XyFh2Uv+kpugvKQhryKOd6qRyaqqKaqNKaqMoVS2Djwpz\nuoEMGSpWUAUKqkhpel1e7VCkqihOF6u8LlGcLlF5tVCEjlOBPJAt5fWX8odIkVWlam9LCY9KjhjJ\nt0eKaVK6hsz+Qhr3ktSmh3T/IDMrcKjHUlSkonZtRHGRKi1cqohatULWkKSSDRuUfPXVqtSpkxqM\nHHmoeGHozJ8mPdNZ6vq41HuI9WX3KdOl3x+UYhOkG8ZJNS+1JBNUhnyaKp8mya+lkmIUo/YKaJsk\nvyrqa0XLWskSj7YoVk0Pl5IIE+aPGHLLq83yaqM82iivNsp/TK3GGCXoQVXRc4rUCbK7+/Ol7a9I\nqd9J1W+Smg2V4hqH3ph5P0l97pM6PCK99JVkISs9waAy7rxTJYsWqcHSpZbLbwRzcrT/iisUUbGi\n6i9apIh4i/mjUndKr1wnVawq9Z8jValpTce9R9r2tJQ7U6r3iHT2R1JMiAXdZV5b/EqRV5vk1ZaD\n3/0mGSrQ2Y5U6QT+p0yyJ21X+z89F1CuvNqjQs2SWYb0IlXSdaqmexV5vKRdzr5SRH2p/N3mBc0K\nwYC04DPpmmelGAtJ7Q5CZqaCixcoqouNqvaSXGvWyOFwKO5SaxeRw0weJ13ZVqph7SIryUzPv7S/\n1PIpqVyCdRmyFfA9r8ioR+WIaCuHw1qqq3xNUKb6KagiHc+0B5WvYs2TIbeiVUvl1Oz4QmldJN82\nqUZfKaGHFHGUcSqtIcrdL018W7qzr9ThNcvmwTdzhoyMdFuGSJLyvvlG5S+5RPW//da6ITIMadC7\n0u3dpXcGWzdE3gJp7n1Sw5ulNl9JMaHlTDlEUMnK18WSyitGN6qihitGN8iheLn1qcrpcUXo1Npu\nrVS2Pla0GipGjRStRopRQzm1QKl6QlX1sCrr7uP3MUeTO17CK1W710y8MV3FCwAAIABJREFUaJWZ\nX0tX3mkWYrUIHo/cY8Yo7pFHrH/fMss6eNatU8WOHS1rSJISF0rlK0jnt7SnkzRIqtFaqnKhZQmE\ncvSAotVC5XSNYnWpHIoRQi6NVwV1kaMU6fZKtFxpuluSoQhVVqwuULxuUoQSlKu+qqg7VVW9FK36\nJxfa8YaUNUW6cIxU5x5rvyufV/r2TanT09JzAyz/Nr0bN6pkwQLVnTLFVj0y56+/Cp9PdadNs26I\nJOmnj6QqtaUPZ0mVLA6CgLTxbilQKLVcIFW91pqMUIpaKahMmRmxzlKsWqiCeipfQyWlnnDfMhkp\nyuSrPz2Zp5/lU6oiFKd4XaVKaquKulbROk7nAVLhI1LJKCmitlTheSnuCSmistlx4ZUiStEZH9gm\nDbhSqnG29OhkqXKdU+9zHAJDB8n/6vOKHj7WljFK7tRJrpUrde7KlYpp2NCaSEmJ1L6FFBcvjZ8v\nJVisT1WwVxp+uRRdQeo6SarZ3JKMYWxUwPeYMFZLjjMUGfWoIiMfkiOiroKBHxQR2VUOx6kNqUc7\n5NZqRSpBkaqkSCUoQpWUqf7yaLsS1FkJukMxp+qkfElSVF0pwmZ23IIMM1O1TYz8fEVUsVdDjGBQ\nhsulyErWDMhhCvOl+EpSZOijXsdQlCJVbGQrwSNCfs1StFrLIes3LB5tUYHGyKd98muv/EqXFDzm\nPRGqqATdpyp6WNE6gTnd94aU0V+Kv0xqNECKbxV6Y5z50vMXSuXipfdmS9VPca6eAO+8ecpp316V\n+vRRxTfftKQhSdnvvqvcfv3UcM4cxbVubVlHr3SWEhdIg+dYN0aGX5rXVspbJTV/Tzr3FSki9Htw\nQy7l6015tFhBpcmh8orV5Sqnq1WsEYpUdVXVR4pRi5PqBFUotxaqnC5QlBrJcfDS59EmORSl2NIW\nsvZmmybawsjFMRRkS5Wr206aGiwoUGSC9ZvcMtXxec2kofGhJ4o8BvceqVxdKcJ6AVtJcmqGolRb\nMTr38CyDIbeKNUkJjvukE/ifv2T6LKBCZWmwKqq1KqiVIlTKgwukSK4vpJJvJUVIcU9K5R+RCu6R\nqk6XIuueWiNzh/RtR8nnlh6fKtW/2MoByf9yTwW//1oxE6Ypst0NIWtIUrCwUDuuvFKKjNQ5S5ZY\nv8jt2yN1vlqq10gaO1uqYNEAFKdLE+6SMtdLHb+Xmlk3fIaxQUbgOwUDoyQVKyLyFmGkSgooOvYX\nOSJCLxqIUInWq7wuLNXdX5gwyC+/0pShXipRoiQpUlUP3hmeq2rqoWidoN9wJUopz0vOpVL1B6UG\n/aSYOpI/W4quUboGZO+Tet8g+T3Se3OkumdbOg7noEEq7NlTVUaMUNwDD1jSIBhU6p13yr1okRov\nX67Yc86xpCNPifTy7dLW1TaNUVDa/rG0+R2pyqXS5SOlitb+PggFtEceLZFXi+XREhnKO/hqhOL1\nsBL0eqlGG8OEOTgiWxb+57hYD6Y6EcFcKO4LB2pDeiSkCw40AF8p8/E4c2FwW3glDjZMtNQEIxjE\n++DduGtWILhqhSUNAM+ePWyoWZOdN91kL4BtxxZoVg26tQePjUDUgBemPw3vC2b3MrOv2sAw3AT8\no/GWXI3HpYNbZQKB8PLfMP83BCggn3G4WI0/1CKjhgE5Y2FtfVgVD2n9YN/bkDG49BoFWfDiJdC9\nJiSvC+3zj5bp1YvUqChKZs+2rBF0OtndsiU7zzgDf1aWZR1K3PDM9dA2Abastq4DZgbsGRfAz+Vh\nxyAzfUPJAVsBswV8wV5qHrOlcilu5tpra5h/BfrHLskPHIAD9UxTlC7IqASeUmawDPhg3OPwvGBO\nvyOrZUJYNWN4vXhuvxF3g6oEt221cAAmzhUrWFuuHHufftreUscNa6BpRXi0s6X078ewfjj8LxZG\ntgVnFvhc4LK2BN0wPPg8tx9liszN730Hw7CeMyNM6QkGArjzwrl9LBNwwf7esLIcrHCYle6zRpZ+\nf1chvHkt3FMZtiy21AQjGCS3a1fSKlbEt956KQ1/RgY7GzViz+WXE3S7LeuUqTEKeGD9GzAuAua1\nh60fwppnLUkZGPhIxk8aAXIJ4sLAfp6sfwtBG3mMjsZO/rW/m3+uKfKuhuL+UPAE5LSDzMaQXg5c\npeysDAPmfw4vRMDoB8wRpAVfhNQEw+mkpM1llDStT3C/9XIaeePHkyiR+bn1cg8ALF8IZ5SDng+E\nnGH5T6SvgQEN4YsGsOIL+KmzraXWhuHECO4hGFhFIDCNgH84weBae208zSnavZvMZcss728YBjun\nT2dUmzaU5IewHDjMnwmWwK4HTEO0QrAiEnJDGGn2uKHPbdClPKz+zXwuxAuQUVJCVuvWpNeti3+f\n9f7Gs2UL2ytXZn+XLvYuXmVpjACyl8HUs2CszC35O/uaYUpF0O9nwzffsG5wCKOgx8FTWMjS3r3Z\nN39+2TTsb+Cfa4qOh+EF/04wQhgp2TwNXq0I7zWGl8tB5o7QPjInh5JLzqPk4nMxsq2NpgBk9OtH\nosNB/uTJljUA+H06NIqGt561n13blQ2j2pnTae8L1n1vTy9MqXDu28fSJ59kbK1aeCyO8KStXs2o\ntm3pI7HsI/tlNgJOJweGDydoI+HkPxp/IeROgr0vw6bLYGUUrIyBghCmswJ++Kw7dI6ChT/CqLfM\n+k8hEMzL48B553GgWTOCNoyuc+5ctkZFkfnqq5Y1gD8bI8OAfIv9oCvVHCk6ZIp+ioHs5fbaF+ak\nGIbBjvHj+b5pU4ZUrWr55snv8ZD4+ed8Wb0641q3tjfr8TdzepkiK/hKYFIvcyrtecGAq0MeZQnu\n30fJOQ0oubYVRnExRlroiakMwyDlkUdYFxeHKzEx5P2PYcrPUD8C+r8NzmJItBj3VLAXhl16xBR9\nGA95Fit7hzklrvR0Vjz3HCNiYhgusWXAgJA18nbtYmK3bvSR6CMxoF49fDamSXzZ2ezt3ZsVVauS\nNnCgZZ3TjoATCn6H9E/AX1D6/YJB+KYn3O6Au+JgWOg1x/wpKaTXqUNWmzYYHo/lC1D+8OFslcj7\n+mtL+x/maGP08xDo87h1rcJtsKUvzGppGqNf64A73V77TmOMYBD31KkU9u4d8qjf3rlzGd2yJZ9K\nfCqRaGGmIhgIsPmHH/imYcPDOukrrMfZHsK/Zw+FvXsTsBP7ZpGwKXLmwpwPoXeDI8Zo0aCQZYLb\nt+FuUA1Px+vxdLye4I7toWt4vexo25aNdevi3b8f14YNIWsc5sdvoa6gaztzs4ozC5Z9AkPOMY3R\n91faDsA+rTmQDkP6w+hvQtqtaPduJl1wAcMlhkv80rQpQV/owabOzEzG33HHYVO0dtiwkDUAPHv3\nkvz88yyLi2OJxLpLLrFVNynMQQIBmPKFOY12m6BTJOzdErKMd9060uLjyb37bkrmzsVr8UKU+fbb\nbI2MpHjGDFyLFlkvPVPihqfaQUvBZZGwZ5s1naNx7oUdA8x4o3CfcwzB/HyKP/uMjDPPJDU2Ft+2\n0P7ePqeTlX378qnDwacSwxo3xm9hkU5hSgq/3XffYUM09a67QtY4hGEYlMyZQ85tt5HqcFD0ySeW\ntewQNkWHCPhh3XgYcA28UgFydocusXgh7ooRuCsI75MPWWqGPy+Pzeeey9YLL2TzuedSsj10cwVA\n6l6481rTGNUVrLBZNNQwIGUh/Ho/LP/UntbphscDU8fD/R3MEbrrLwp5FWDQ52PB3XcfNkX7poRQ\nguQotk2YwP8iIxl++eUMPeccghaC7o1gkLQvvmBZ+fIskVjicFC0apWl9hyXAuvTzKcFGckw+HG4\nI9o0Rm+3szTVXTJrFqlRUaRVrUrOnXdaaophGKTeey/bK1YkuUUL8kdYrC6euBCuq2KaopaCV+6w\nphPmpASLi8l/9lnSKlQgVSJVoshCgVaf282EG29kUKVKDIiLY+uYMZbaU7RvH9+eeSZDa9Xi86go\n8naGXuDVMAyc337LgfPOO3xMmZdf/rfdhIVN0fHYlwirQyu0aTideO69E3cFmVulSIIpe0L+6KDL\nRfbXX5MokSix96mnQtYAYNM6uKP1EVNkZ7Toj3is1+067di2CVo1OvJ3PjMOdoZ21xbwePi9c2dG\nli/PnvHjmX3TTZamRLb98gt9o6KY3qMHPrebXTNnhqwBYAQCJD/3HEsklpUrxy6r5+AhfB5YNxe+\nfRmebgGLQyjCezqTtReGPg13xMCyX0La1TAMigcMIL1mTfNC4nDgT0oKuQlBj4f8ESPYFhPDVonk\nCy+0Hg+SsQ/eexhaRZjGaGM4HqhUhPj3dv344xHz0LJlyOlcfG43E66/nsGVK5O+ciWrP/7YUsB9\n4d69fHvGGfxw/vkUp6ez0oI5O9ymHTtIS0gwj8vCyFdZEjZFZYhhGASmTaakWRNztOj50C8mAaeT\n/S++SGJEBIkSa8uXx59jrdI4hmGOYBy6aK+0thw4zEnIz4N7bjhiin78NqTd/W43s2+6iVHx8WQs\nXAhgKbh628SJ9I2K4rcnn7S1oihYUsK2Ll1YGhND1tix7H7xRfxWA3o3LoD3boM7KkAHmdv4/pbb\ndtqSkwqTPgt5NVqwoID8Z54h1eEgVSLvySdD/mjDMCgcP54dtWuzVWKrhHOuzXw+OzfBix3h8db2\nF3ucbvi9kLIa5g+G4d1hxENQUlzq3V3jxpFarhxZbdqQGhODb+PGkD7e53Ixvn17BickkHFw9NeK\nCS7Ys4dhjRvzQ7NmuDIzLesA+Hft4sB555FesyYZDRpQ1N9mHxEMQsZWWPED/PQMTH8PgqX/bYVN\n0V+A4Xbj+9+7uOtWxkhPs6ThXLmSLc2bkyiR0bevvQa53fDZ+/DQbfZ0TkcCPsjbBbvnwLpvYN2w\n0v+ANqyBy5vARbXh+QfhibtCugj4iouZ0bYtYxISyLIRnLh90iT6RkUx7fHHbRkif14eG1u3Znml\nSuTPmwdgKa7pMK5C6HH+EUM04PHwRfIvwLtyJZkXXURqbCwBi9XQA3l5pD/+OFsl9t58c9k0bO0i\nc/QoDOTug8/awrOx0EPm9mErcJcuSN8wDAp79yZVIv/ZZzH8ftw//xxSE3wuFz9fdx2Dq1ThwJo1\nVo4CgILduxnWqBEjWrTAZTMQ2jN/PmlVq5J54YX49+7FNXKk9UTGu5fBgDbwckV4Vub25c3mYqoQ\nCJuiv5Dgnt0E5lm/6wp6vaR/8AGbmjQpm6XQafvB7bKvczqw8zcY0gj6RUBfmdvwVuAsxUXFMGDk\nV9A4Bu5sA5kZkJwEBaUfUfEWFPDblVfyY/Xq5Kyznul4x+TJ9I2OZuqjj9oyRJ59+1jbrBkr69TB\naSM54GHWzISHG0OXSnBvLXj7BvDbMFhhTorh91P06aeW4kuOxrVwIbvOPRfPltCDv8OchMJMGHLr\nEUPU91Jwla6/MNxucrt2JTUykuIhQyx9vM/p5Oe2bU1DZGN1c35yMt80bMiICy7AbSMFDYDz669J\njYoip1MngsWlHy07IXn74H/NjhiiITeFbIjg5KaotLU/IiWtkVla9o8lmA9+Rhg7lGzbJofDoXLn\nnvt3N+X0IOiTto6T5r0subPN5865Q+o4Soo+RUFSt0t6rYc0cbT03JvSy+9JUaEVs/Tk5mrOjTfK\nnZamG+bOVZVmzSwdRtLUqfrlzjvVont33TJsmBwR1mrCuTZv1tabblJkpUo6f8YMlWvUyJKOJKkw\nW/rmRWnBGOnKO6Qeg6Q530u39ZTiLNSeCrillO8kRZhFQx0Ht4goKeESqZL1CuCnI0ZhoSIq2yu6\naXg88iUlqdwFF5RRq/7F+NzS759Ls/tLMXFShWpSZIz0wu9ShVNXiw+mpyu3UycFdu5U1fHjVa59\n+9Cb4HRq0q23KmfTJnWZO1c1Lw695qck5e/apfFt26p89erqMneuylezVviWQECFvXrJNXCg4t98\nU5U++MBy3yVJcudLcz6UFg6U4mtK3mKp4X+kJyZL0eVCliuL2mcvSRojacpxXrPv/sKEKSvcubC0\nLwysA/0i4adbzBGi3182ay6dip3boG0zOL8KzJlmrQkHDjCpRQt+btCAQguBsYdImjqVvtHRTHno\nIVsjRAULF7I8IYENV16JLzfE2mBHYxjw+0i4uxrcXweWTjz2NasESmDl/TBeR7aJcbDj0/Ay7TB/\nPd5M2PEspHwIGT9C/hIo2Xfqcy8YgKXfwWt1oWccTO0NJUWw6CsoLt0IizcxkfR69cg4+2x8Flch\ne4uLGXfNNQypVo0sGyPAeUlJfF2vHqMuvhi3jX4imJ9P9o03khobi2v0aMs6gDkKNPdjeLWKuc39\nxHxu8hvgtZibzTBsT5/VlzRXUltJU0MyRZ5UcG4MxxiECY2S3bDjPkj/EpybSmdmcpNg5tPwcRx8\nWgnm9oKCFChKhcQvS/e5k8bCWRXg5pawb4+lpjtTU/nlnHOYcMYZFO2xpgGw87ff6BcTw5QHH7RV\nqyh7/HiWxsSwtVMnAnbqYGXshreuN+OGBvcAZwjJDI9HURLsHAiLb4aJ5Y81RItuBGfo6TLChAkJ\nwwD3HsiaDCsvht917Lapm3kNO95+m2fABy3gqQgY/TgUhJ580j1hAmnly5PVti1BiybEW1TEuKuv\n5svq1cmykfMud/t2vqpTh9GXXmrLEPmTkjhwzjmk165tOa8WYBrOFSPgvw3hhViY9Cq4jlqcYtVT\nBEqgaP1JTVFp5gQ+l/SKpBOPi3vTj/+84ZE2t5EiK0lVb5WqdJQqXytFxB7HWhmSw8bwWpj/O8ri\nuwoUSb40KVgoBQqkQOHBfx98LJgrZY8x3xtVRap4lVS5jVT7SSky/ojO/iXSyk+knVOkyg2l1n2k\nCx+VYo86XS956uRt8XqlD16Whg+WHnxa6v2ZFHucc/QUFKekaHa7dnJER+umRYtUoV69kDUkadeM\nGZrQubPO79ZNt3z3nSIiIy3ppA8apD3PP6/aPXrojEGD5LCiEwxIkwdIo9+RajSUPlosNbvago5H\nypwrZc6UDsyUXMlSVLxUs7104edSjeukhW2kCz6WGtwjOU4wsm34zMeImOO/njtNSrhOijzFFCmc\n+DPClA1l9Tc2/FJEtD2NoEsqWiO5NknOg5trsxQsNl+PSjjy3hqdpca9pYoX/lln/3pp4ivS9rlS\ni1ulR8ZKdUObGgfk7NtXRW+/rbgnnlDC4MFyRId+fN6iIv16883KT0pSl3nzVKNFi5A1JClv+3aN\nb9tW8Q0a6M5Zs1SuShVLOt5585TbpYuiGjVSjTlzFNWggSUdbZ0pTX5NytgkXfaQ1OE9qcoftEpz\nXjk3Ss4tkuuorSRZknHS3U5lim6VlCVpnaQ2J3zXmlN0/oE8KWOwuUVWlOq9LtXrdaw5mt5JioyV\nzn9ManC9tYtuUYH0Qhfphb7SBa1C3/8guatWadfQoWr59deKjDlB51sK1n7zjYJer/7z3HOWNTAM\nbXnmGdW+4w5Vv/56yzryuKXXOkr3vSa1usG6TuEOaWYbqVEXqUlXqeZV1r6r7FHS7mePfS6yohRZ\nWYqqLOE/8nxsY6nydVKNe441RJK06jPJmSF1GmfGDEWEFvsjSSpxS8sXSEN+lDrdE/r+h2TS01Wu\nVi1d9+uvKl+rlmWd/F27dF7Xrrp1+HDLhghQ8bJlavjBB6r/5puH5tBDJxiQ5g6X7nhZ6vamFB26\nWZQk+fKkZR2lyhdI9btItW6Sql95xNz4i6XrN0ix1U+ukzdd2nqHFFNHim0olWtoPh7askZLOx6Q\naj8u1X3GfP14zP6vlLtLavdfqZa1eC8CAfkfuU+RDz2myOus/zadqala9tJLav3VVypX9dQxKCdi\n34IFSpo4Ue2++MJW/Ebup59Kkqq+9JL18wakAV2lxhdLt/Syft4Yfun3mlKFplLCFVKVK6WEK6Xy\n9c3XS/ZJhWukWp1PfqEsXiuta2PeoMe3MA1P7fvNf1doLh0YIeUvlJr0lipedGKdDZPM+JYX5knn\ntLV2TMGgvIsWqfKAAarw3HOW/8beggIF/X7dNX++qjdvbq0tkor371dC06a6ffJklUtIOPUOJ8C3\napVi27ZVlZEjFVGhgmUdLRlqmqAHx0h1rR+X1t8g+XOk8mdJFZpJte42Hys0k3RiA3mqb6OvpO6S\nApLKyRwt+kXSA0e9h96vP3z4P22uvlhtrjkY5EVA2n6HZJRIldtJVTtKVW6RYuv/+ZO2j5C2fC0d\nWC5VbCSd96h03sNS/MH3eguk2FN8YblZ0iv3SmsWSj37SI+8IlnoHDLnz9eSjh1V/ZprdNUvvygq\n7hR3nSdgad++WvDWW7pxyBC1fPppSxqG36+NDz6oAxMm6MLRo1Wna1dLOirKl/o/Ji2cKHV6Snr6\nIyku/tT7/RF3hrTjaynlJ6lwuxRXT2p8l9S4q1TjcomglPStdM6TJ++kfFmSP+OgCUowDZHjoAEg\nIG26Rqp0jVSju1ThJHdAPpcZOG33jjQYlCwakKMBrF9IylgHw7AX3HiIgF+KsnmnLkmeLKlcTXsa\n3gypaLHk2Sd5j9o8e82br2OIkKp3luo9L1W6+thzZPOv0uy3pOztUouulswRJSXyP/mQgpMmKOqD\n/orq2cvSd1awc6emtG2r8jVq6NY5c1S++imM4QnYOWWKJnfpouYPPqgbv/7a8nef+/HHynr1VSU8\n9ZRqDxwoR4iLDCRJRlCa1Fea0k+qUld6YIB08S2h6wS90oHxUsEyKX+ZVLxJkiGVq2+ao8r/kXa8\nJlW5WjrvM6nypSfQ8Ui+TNMkH+878udL0aUYIQn4zBsvm7+rsvpt/n/V34AE9o/L77EUPP0nSnZL\nsfWkiFgtWLBACxYsOPzSe++9J9kMtJakaxVqTFHJHsiZbBZWLC05m2DR8zCsKgyJgGm3wu7JsPV7\nmN8DAqcorRAMwrAPoUUUPNIesqwVGsxZsYKJVarw+zXX4C2wHj+x6L336COxZuhQyxpGMMiWZ59l\nusNBypeljI85rpABs0bDjQnQ9UzYsMSeVt5GSHwLJpwFwwU/N4RVvWB0RZhzK7gzrWkHfWCEa3CF\nCRF/Pqw8CxYKlteDjTdB8itwYCT4jhMnEQzA+nHw6XnwugPGdIUDm4+8XnLq371hGPg+/RB3vAPv\nQ/dguKylwyjYtYuRDRsyrkWLw4nyrJA0aRIfR0cz47HHbAXnF/78M9tiY9nboQOBIhvZ7bNS4PM7\n4R7BR7dARuglIo7BXwTZc2Hn+7D6ZpidANN1ZNvwALj32/uMMKc9KqM8Rdfq/3L1mb8EdvwIv7aF\nwYKhsebj+MuhuBQV6tevgOubwJXVYf5US03I37CBSbVqMevSS/HYyNewsHdv+kgk2qhUbRgGSe++\ny3SJne+/bz1NP0DmfnjxRrjaAUNeBU/oeR7+0DjISYTVr8HPjUyDNFwwthbsn2FPO0yY0uLNgPyF\nxzdAJ+NE5mhYe8gq3YqgwJyZuOslUHLFRZZK/wAU7tnDqCZNGHv++bgyMixpQNkZI9eyZeyoXp3k\niy7Cl1qKPvdkbJwDL58H3WNg3JtQcvBGucC6AcQwYMPDphmaEQ1za8HC82Dl9ZC/0l57w5zWlJUp\nOhF//RGkL4EvY0xTNFjwXU1IXXDq/YoL4eV74TzB/3pauvgXJSUxpWFDpp9/Pi6LHYNhGMx/+236\nSKz7NrQSEX8kZcgQpjscbHnuOVsdHoYBvw6F9hXg/mawY635fLa1kTUAPHkw5dIjpujQtqKnaXLD\n/GVkrlljqTBsmKP4ozl6IwrerwFppUu8Gdy1k5KWzXA3qGY5oWvxvn2MPvNMxjRtSrENI1JWxsi7\naxe7mjYlqV49Suwm/PT7YNqn8EhFeKY+LBtnjh7tsliIOOgH917wF4dXOJcSwzBw28xQDRDwevHa\nGUH8m/nnm6LkibDsNZj7sDmd9nMrGHU2bBl26h+DYcCkEXBJBeh0IezaChO+g/zS1xpz7dvHb02b\nMrVJE4qTky0dgmEYzHvzTfo4HKz//ntLGodIGzuWGdHRrLv3XnslGgBSd8FTV0PrKBj+PrzTDdb8\nbk3LMMzpTW8BuDKgaDfkb4HsNeC0ead5GuIvLmb7hx9SYmNUoCA5melduzL/6afLsGX/crxO+OIi\neE3m1rsypCwt1a5GcTGe+7rgrhiBb+Cnh0d0QzEmxamp/HjOOYw+80yK9u61dAhQdsYokJtLSuvW\nbI+Pp3j6dMs6h8nPgC8fMKfU7hE8Xg1S/77ioP8WMpYsYeq111K4a5dlDcMwSP7pJ6bfcAOBsqjA\n8DfxzzdFZcGeJOhyKVxcHm44E57sYMYflZKSzExmXnghk+vWpcBienzDMPj9tdfo43Cw4YcfLGkc\nImvmTGbFxbH65pvxO0OI2ToegQCM+RjaxMBVgg7VIC2cJ+avIuDxsHPAAKbVrMk6i2amJC+Pxb16\nMTgmhiHlylGcZq3+3iGMYJD88ePJsROzdrqQuRUW9Idx95vm6M0YeDsOkmaXanfDMPB93NeMM3rk\nPoJ7duP7JLTSHK6MDMaefz6jGjem0Ea+q7IyRkGPh9T77mNrZCR5X30FgN9OCYiMneZ02iFj9Ex9\nyLZuAP8NWI1Xy9++ndmdOzNMYomNm6f0BQuY9J//MExi55gxlnWOxvD77c14WCRsig7hcpqjRefJ\n3L4OrQirNy+POVdcwcRq1chdswYjGMSdHtp0k2EYzH35Zfo4HGwcNSqkff9I3vLlzKlalWVXXIE3\nN5ecgwU+LZE4D7o0Nk3RVYIHLgC3TbN1ulMc2vCxEQiQMnw40xs25BeJyfHxlFgo7rnlu+/4pmpV\nBkoMlFj88sshaxxuk99P3siRbD/vPDZXqWLvQne6EvBD5jbYMtmsgF7a3WZNx123Mu5GNXAnRBPc\nGNr0kyszk3EtWjCyYUMKDt7dW4klLCtjZBgGWe+8w1aJA6+8wv5uVd3uAAAgAElEQVQuXfDs2GFN\nLC8NloyBYU/AS01NY/TSOVBof2rndCOwehWuB+7B9+svIe3nOnCAJU89xbeRkQyTGB4XhyvE6xVA\n3ubNzLz1VoZJDJP45YILbBsZIy8Pz6cfUfJaL1s6VgmbokOsWgCP3wTNI01T1CwCVoRmJHzFxcxv\n354JFSuy7ZNPWHb33SE3wzAM5rz0Ev+LiGDTmDF4nU5yLKZ4L9qyhd/r1WNR8+YsOPNMsqwOb3s9\nsHwGfPg43FrTNEZvh1YR/l9BUQH8OBTubQ27Q7sgHJg1i9nnnccvEr9IbPvgA0tN8BQUMOLMMxko\nMbRiRUtFG4MeDzlffcW2Jk3YILFBIsfGCskwf8YoLsbb6zncFYS7gihp1QLDc4rVs3+gJCeHny++\nmBH16pG/YwdrLJ4zRxujYCDAntmlG/U6Hvk//MDWqCi2SqRce23Z3OnnpZsxRvO+Dfc5mDdQvokT\ncLa9isJywnXHrSEbYm9hIct69jxsZla98YalthTt2cPU1q0P6+z77TdLOgCBHdtxP/80hVXjKKxT\nhaCN0AE7hE3RH8nNgh+HwH1XwzW1Q162HygpYVHHjoyTGCeRtWhRyE0wDINZzz/P/yIimHT//Yy/\n446QNQ5RsHo1M2JimC6x4OyzCYTY8f6JQADWL4aBL8Kcsfa0TgcMA1YvhlcfhBbl4WzBT8NClslf\nt46p1aoxqXx5fqtbF7+F4fCA18uUW27hq0qVmNGtG8vfeSdkDYBAcTEH+vQ5bIiSLr0Uw0Y5kWPI\n2BWOEQGMwkL8w4ZScvmFh42R7+1XQ9bx5OUx4T//YXjNmnwpkbagFItMjsMhYzSuXTu+bNAAf0no\nix8MwyDr3XfZFhvLVomtEnnDQv8thDkxgR3bKb7gHArLydxqVCS4P/Q0AweWLeOH+HimXHUVI6tU\nwZOfb6k9277+mmESky67jKnXXGNptNJwOnF1v/vIMZUT3lH2QkjsEDZFJyM1BdaWLojyELmJiUyq\nU+ewKZp58cWW6lMFfD5GX3cdfST6SKRaqBUT9PvZ8fbbzIqPZ7rEdIld/UKLXwhzCqaOhUsTTDN0\ntuCpTiHfzeYlJjKlShUWtmlD1rx57LGwCjHg8zGtc2eGVqhA+tKlFKak4LGYQ8uzYwdbGzVia+PG\nbHA4cNmpU+T3wqbfYcRL8Pw58NqlR5Zch8EwDIIrl+N98iHcNSsQWLo4pP3d2dkseeEFvpT4UmJ8\ny5aWRmd8LhczHn+c/hL9JVZ+8knIGgCGz0fB2LHsbtmSrRLbExLw/013/P/fYxiQmxJSf2EEArgf\nfeCIefg69Di/zBUr+KFiRWbecgsBj4e9U62lpdk2bBjDJNa88w7uzEwOLA3tWnk0vrFjDh+T89Yb\n7KWV+SOe4pDeHjZFfwGe7Gw2vPEGE+LjGSeRbOEit3vuXL48++zDpmhUmzaWTxRvbi5JvXszOyGB\nWXFxuC3cWYQ5AXMmwcWVTEN0VR3IDW26KnfVKqYkJLCoXTv8LheGYYQ8KhP0+5nRrRtfli9PqsWR\ngkO4Vq9mc/XqJLVsiT8ri6zPPrMmZBgwsS88UAnukrk9WQ9y7QV9n84YeXkEpk8N6XduGAa7J09m\nXPPmh43RDguBrvnJyUzu1u2wKRpQpQolFkcPDrXLtWgR+26/ndRu3SzrnFZ4XbBrAfzeD77rCO/V\ngQ0TSr27UVSEq/MtFFaKwd3zKZztrgnZAGetWsUPlSox4+abbc0a7Pj+e4Y5HKx+6y1bBsYwDDyD\nvqAwLgL3w/eb02YWc3kB5k3YvpWwZAD8eA981hx2zQ9JImyK/kIOmaNpZ55pKfN1wOdj9ZAhfFaj\nBn0kkmfNstUeX2Ehu/r1Y8uzz9rSOS0wgmaiz9QFsOU7WPYGzOwG+0oZTxEIwKdvmmbo1Qfhhbth\ncWjfT+7y5UyuVInFN9xguUp9MBBgVvfuDImNZe+cOZY0DlE0Zw6b4uNJbt/eXqbiQ6yfBfeWMw3R\n/XGQnGhfM8xxCQYC7BgzhtFnnsmoRo0sTX8BpK9ezdjrrqO/xEKLcSZ/xJuUVDbn0z+Z7TPhjQrQ\nS+b2sgMSS29eg/v3U9zqQorqV8e/dAmG00lgR2ixptmJiYxISGD6DTdYPj8AdvzwA8McDla9/ro9\nQ+T3mzFE5YTno74YhoF/SWgjpcew+HN4K/ZIuoy3Yku9KvRowqbo/wBPdjaFFoOlATxFRSz4738Z\ncU3odwbHI+By/S1LHf+/wTBg6atHEn4OFnwZDTtK2UnlZsND18P5MTD2K1MvI7RcSzlLljC5YkWW\n3HwzAYsdlBEMMvexxxgcHc0eGwGOAPk//cTG6GhSunUjaDfuzJkPQx81zVD/2+DuKFj5qz3NMKUi\n4POx+auvSPrxR8sahmGwe9YsRl95JUV2s1WHMdO7JI6Gd2sfMUUrvyv17oG1iRQ1qUvxBecQTLaW\nRyh77VpGVqnCb+3b47d4AwaQNGoUwxwOVrzyij1DVFCAs+ONFCaUwzfhZ8s6hwn4YflQeLu8aYje\njIHt1hYWhU3RP4ii9HRcOaVPLBnmBKQvhd86HTFE31SG1Pml23fDKri2IVxTH9ZbKxeQvXAhkypU\nYGnHjpaHsA3DYP7TTzM4KorkSZMsaRxuz5AhbHA4SH3mGfsB1asnwxN14dEasHScaRgX2kgvUbQR\nNt4Pmx6ETQ/D5sdgy5OQ9Bb4rE/vnO6URUyGEQziKoMMx/9qdi+GL/5jjgyNexjerQVLBpd6d9/U\nyRRWjcN5Y1uMvDxLTchZv56RVasyrW1bSws4DrFzzBi+jYhg+Usv2Tq/gil7KL6kGUWNauFfaSNe\nEcz+ZetUM9P8G1Ewrrv5uGWyZcmwKQrzz8KwWK7CCELyJPjlKtMI/XQpzOkOPzSEnM2n3h/MVWXn\nx0D368xVihbImjePSXFxLOvUiaDFrK+GYbDoxRcZFBFB0s/W77IMwyCjd282SBx47z17F9LCLPi8\nmzk6NOBeKCyDnEaBEsieBYvOgFk6sq3vAp5w8G6Y/wPyZ8Lmq2Dn3bD3FcgYCLm/gnMNBE9yQ5O9\nC0Z0MUeFvmwLqQdLJW2eUqqPNQwDz8DPKSzvwP3kIxgW+4rcTZsYVb06U6+9Fp+NRL67xo41DdEL\nL9jqJ/wrllPUsCbFlzYnmJJiWQeA1ET4uq05MjSyM2TtMDPObyx9nNafG5j7N5qiot+gYAIE/uVz\nzWFCI28k7LwY0p6Dgp/Ad4rAXX8JbP4GRp9jmqGpHcxRIcMwR4ycpQj89ZTAG4+a8UMfvw4W64hl\nzpnDpPLlWdGli+USLIZhsPT11xnocLB99GhLGmCuYkl96ik2OBz2chAZBiweA49UMwOpV5eu0z8h\n7r2wbyis7Qhz4kwTtKDuwcc6cGCiPf0wYU5FwAXFqyDzW9jTE1aVhxU6sm26FPJ/O/6qMXc+TOkF\nr0ZDv7Nh8+SQV6MeG2vTz7IJyduyhVE1ajD1mmvwFYe2Autokn/+mW8jI1nWs6ctQ+T7eRyFlWNx\n3nYTRmGhZR3y95ojQq8JBv0Hdoee9uYYDAO8qVAwEw58clJT5CgTU1Qw7viv+PZImW9IjhipQhup\n4q1SxY5STOM/v9e1TypfT4qItNcat1OKi7enISno9SoyNtaWBoYhDEMRUVG2dAyvVxE22yJJchVJ\nFSrZ08CQnLukik3t6Xi3S65FUrBAMgrNx2ChZBRIwXzJvezY98ecJdV8V6p8r+Q46rRd/7m0tr/k\nzZOa3itd9LJUrXlobcnLlh67WdqTJPUfId3Q2dIhZc+fr6UdOqhup05qOWqU5e99dd++WvHWW2r3\n3Xc6/5FHLGkA2nf33SqaNEkNxoxRQpculnTkcUpf3COtnSa1e1zq/rEUVzl0HV+2lPKxlD1dcm2R\nIspLVa+TqneQqt8sFa+TcmZKTT+SohNOrOPPkrxbpehGUkx9yRF95LVggZT1sVTtKfO1k+HOlWIr\nSpExoR/LMTpuKS7OnoakoM+nyBibbSkjHXw+KTJSjkibfbErT4qrcuzv1QrFa6S486XI4/ydoXT6\n3n1SzkjJvVFyb5A8OyUhOWKluOZSIE/y7pHiLpLqvycldDy+buIoafKL5r7X95au6CFFhfb3xu9X\nyV23K7Bwvsp/O1LRd94V0v6HKEpO1tSrrlLFM8/UTTNnKqZiRUs6e6dO1dzOnXVejx66YtAgOSx+\nX97PP5H3zVcU/eQzKvfJF3JYve7NeVda2F+KryXd/KHUoqsUERGaBkjZQ6WSjZJni1Sy2ewfJCmq\nhhwXZUtl439O8PGbSrs5YNflUHicO81pF8Iv9WHDu+CyGPi3fxe0qwbjv7SVFTV11CgWNWtGiYWU\n6Ecz78knmdW9u72aQ14v6y65hP19QytJ8idy0uCuajD6PTNgzbLOEpgo+P1i2PERuP5Qr8go5bHm\nfgNbKsH2BpDUApKvhpRbYd99kPYUbIo0z5mk8yGrP/hOkGJg+Zuw9BVzlZlV/H7475OQbD1QHsCd\nmsqmV1+1Xa0+ddEiNn3zjS0NgOxBgyiaa61a+2EMA4Y+ZuYhsoO/EJacC9ueg+wZEPhDIOgf/38i\n8sbBeh3cHLClHiRdCSn3QPrrsLk2rI+ElG7gXH5incn3wZDGsOF7s9q6FYqLoNWZ8FkfW/1N9sqV\n/Nq4MfmbNlnWANg8dCgTLrsMr507dCC3e3dy7rwTw0awLsEAvHc+DO4AWdaKaAMQcMKSSFgaBev/\nA8kvQPZ48B7smzNHQ/ogCJ5iVNa5FtY2hO23wr63IOcncG87MlWf/AjkTjx1/5U4Bia/BC5rsT+H\n8PzvPfwrTnJ+lgK/y8WKXr1sf99Fu3ez5p13bMeo+WZOxzN4gC0NAGa/Aws/Bp/11XMAbL0Etl0J\nKU9A5kAomge+TODvjCkqmgFb4mHvHZA3HPyZJ35vwXZY8xL8VBVGR8D82yD1N/PHBZC94tQdj98P\nQ96E/zjgtS5QZC1I0713LwvOOosFZ52F20aV6pQZMxgcE8NcmzWH0r74giUSe157zfqJGwzChE/g\n1hh4/jJITbKo44fM2bDmYZha2TRIC66C5MFQcgCy5sP2PmDYCOZ1rYT058GdGE75H+ZYjKA5nepc\nbhqkzP6w/2lIvgW2NzeN0mHTJEhqBXk//vl8zEuGqQ9BvwgYehZsGnWkryl1Wwz4+guoHQGPdwOL\nAa6+4mJmXX0146tXt2WM8rZtY3itWky88kq8NpbHe+bNI61SJbKuuoqAnUUfW+dA73Pg2ViY+q61\ni5xhQMke0/zsegrWXgBLHLBEsLoJbGxt/jvxXMizWOLo0OeE+ddwMlNUNtNnnEDft1uKqidFhDD1\nE/RI+36Rdn4tZS2WKjSSznpMylklRVeSLv9GijrFcPXKOdI790vl4qS+P0nNWpX+8w/iycjQ6vbt\nFXS51GrePMWdcUbIGpK0e/JkzejSRc179FDrgQMtD01mDh+uXY89ptpPPKEzhgyRI9ThxEPs2ST1\nv0/KSJae/Fy6+XHrw9tBr5Q5U0odKx2YYv4/4SKpYK1UrbXUcrQU18CadpgwoVI0U9p7t1SuuVS+\nhfl4aIuqdvx9cpOkpe9LW36Uqp0rXfOudG4XyVskuXOkqmed+nMXzJae6CY1OkP6YZJUL/Rz3u90\nav7NN6to+3a1nz9fCc1DnAI+SN6WLZrcpo2qnH++bpk+XdEVKljS8W/apNwOHeSoUEHVZsxQVJMm\nlnQU8Em/fyZN/0CqVFvqNkhq3sGa1mHNQql4hVS0VMoeJXlTjryWcJPU5FNzui1MmBNw8Dr8F06f\n/VXkb4HVz8NPCTBK5jbtIijec+p9szPgqXZwWRSM/tTSnYAnK4vFF17I7/XqUWwjB1HSTz8xKCKC\nxb162RqizJ4wgaXR0Wy/917LQbyAWfz1m5fhJge80xHyQq/U/if8xbDvR5hezxw9miiYWgVSQ6vs\nHCaMZQKF1u/4s7fAr12hr2BYC1gzGAbWMZ8vDclJcNW50KwWrLJWCqGsRoyy16/nu6pVmXzddbby\n1QT27+dAixak16qFd80ayzoA5O6FrzpDD8HQTpBzcFVS0kLrmiUpsP4y2Hg1bLkVdnSH5J6w7wPw\nnmRWIsy/Hv2jl+QbBqx9/YgpGiX4uRqklyJWIhCA7/pAqwh44RbIP7iEuKT0HYUvL4+lrVoxt2ZN\nijZutHgQsG3UKAY6HCx/+23LGgB5M2eyrHx5tnTsSNBGxlIA1s+H7g2haw1YdjDnw/p51vVyl8PC\n1jDvEph9LsxoANOqwYae4LeeO+O0xI6pPUgwJwf/XOvVzsMch8wNMKGTaY76Cj6vDhlrS7dvYQHc\n2wHqx8CP31v6+LIyRlmJiXybkMBUm5mNgwUFZF93HWkVKlAy3cb01CE2TYf/ngnPlTen1J6PhxSb\nhivMKTG2bMKwGesIYGy2fg38/4l/tikK+iB3HaTNgF0/wOb+sPpFWNIdsleVTiNxIXSoZ25rF8Eb\n3aC49MFpvsJCll99NXOqVqUg0XoZg83DhjFQYtUHH1jWAChcvJjllSqxqW1b/HZT6zsL4KPucKPg\n88fgziqwxXrRvzClYMVC+OS/tiT8s2ZQ1LgOgQ3ry6ZNHhtBtacbm3+Ej+OOGKPPEiC1lEGxgQC8\n/yrUFPz3RTPOMS83pBGssjJGmatW8W2lSkzr0MFWDSzD6yX3vvtIjYzEaaHG45/wlcBv75uxRj0E\nL9eATIsxjmFOiuH3E/joA/wPdbWnU1CAv8eDBAZ+XEYt+3v5Z5uisiI/2xwtahUBl0WaxiiEjsrv\ndLKyXTtmV65M3nLrqwY2DB7MQInEj+2dXMVr17KienXWt2qFLzcXsJnhduFP0LGcaY7urg059lbe\nhTkOLie88xw0FKy2ZjwNpxN3z6fMStPXXGa/TTnp0Od+SLOxQuh0w1ME+5dC4pcwoweMuAIG1Ia9\nIRTiHT8KGsRC1xtgQD8YHlql87IyRhnLljEsPp7pt99OwMbopGEYFLzxBqkShb17YxgG3pXWsr1j\nGDDrI3jKYZqiHoK3mkBBOFnnn3AXQpG1JKnGjm34r2uFr7II/m69pmZw/hx8zRrgqxmLkVsG1RYM\nA/L/3utL2BSB+UXMHQ/XVICWMrcJoSW0C5SUsLpDB2bFx5OzYAGF69bhtbA6I/GTTxgosX7QoJD3\nPRrXtm2sql+ftc2b401Pt75s3zBg1LtmjNGNMrcXrwKftQyrpzW5u8wqzaGydB5c1cQ0RLdcain2\nxb9yBcXNz6awnCgsJ7w/lL620p/F/DBhAHSoBO/dbV3n34IRhKIQ0z4kroQWdcxRo8YVYE9oxvN4\nxshKgr60RYv4Ji6OmXfeSdDvxzAMyzdQxV9+SWpEBLkPPEB6jRoE/h975x0mRZX14bc6Tg4MOees\n4IKimEAxY9xVwTXngIquurLqimH1M66iophAlGAWxYQSJUlGkByGYQZmmBw7Vp3vj+oBdBWn7p1d\nZej3efqhW6wfp2e6q3517j3n5NWhMeovYVl2qf53r4m8PlzknmYij/a1TUAcu23KzFdEHjpGJOLM\nzFqmKdGxz0m4WYKE05Fw305K1c9WVZVE77rF1khHItdf5ljjP9i+QuTxk0S2/b5LpnFTVMvWH0Ve\nHCUytK1tigb6RTasdCRhhkKy/IIL5KvERFk8eLD8ePvtSqEsefRRGQOy5tVXZfvnn0uVYk+kQHa2\nLOvcWZa0bCnzDUMqli5V0hERkeLdIp+NFfn7SSJnuERevEVdq6FRsk3k46vsh1M+niTSJcE2RG0R\neX+CYwnLsiTyzddS0b2DbYqapoml2tJ/7SKRa/qKnIj92FxPS3BxfsqieXYfo6bYj/NOtFtjOGB/\nY7Tzs89k8fXXK4WSO2uWvJqYKDOGDZPdCxfKji+/VNIREal+6y3JBckFKb7wQmWdn2BZIrt+FMlx\ndj5ukPzwtcio3iKXITJP4VyxZrVELhq618xEn39SKQzzs48lfEzvvTrm9wuVdEREpCRP5NUrRS43\nRJ47X12nnoibop9jmiLL5og8cq3IFUeJVDnblxMqKpI5XbrIFyBfejzKlWmL7r9fxhiGvNWpk8wZ\nMUJJI1xYKNvuvFPmg8wHWT1wYL0MipTSPSKfjxPJ0WtoeNBTukNk2vUioz0ijySJlP1KE8kDUVNt\nZ4faGSJHNBFR3PgamvCGvWx2zulSc/vNShpSkCNy79B9hujvZ6rp/JxwicjO8fYsszg2lmVXot14\niUgrr22MXnXe3K7WGL0DMsntlrL165XCyZkxQ8b5/fJm48by3hFHKGUPzPJyKTr//L2mKBfqZwN2\nHJG89SJPn2mbocsQuburUqNdq6pKwsf2kXDfThJuliBWkeLy25ZNEm6TLuHDO0j42D5q15VglchH\no0WuSbLf0+WGSM7vv1n7QKZIsdnNQY7LBf1OhPtfg3FzIRRwdHjJnDl2G3FAolE23nOP4xBEhKb9\n+5PYpAnlW7eydtw4KnbscKzjycgguW9fErp0AaBy4UKKpkxxrPMfZDSBM6+HNt30tQ5GRGDe4zCm\nMyx/FawoHPd3SP+N8RE/x7Lgb1fCjq0w4Qv4642QkOA4HHPpEoK33YTvjrtJeuc9fDfd6lgDgKyW\n4PVBUmwkwCX3qumA/TMqXQg/XAmzWtojYNzO31uDxTDgyIHw8iRYmQuj/gUTxsLWTY5kKtavpyY3\nFwAxTVbfd59SOGYoRGqHDgSLiihauZJtH37oWMOVlkbWRx/RdNUqEi+9FNxuym6+GaumRimmBkt4\nk/1wQlpT8O3Xg+/80eB2NipDRDBvvQZyc/B89DXuVyZiZDV2FgcgFRVELzkXOnTCM2cZ7nv+qdZj\nTwS8CRCOfT4GDIM2hznX+SUiO8Esrh+teub3Nn2/C2YkIjlvvCGz27WTL0CKZjofg7Bn1Sr5eMgQ\nGQMyBuTba65RjseKRKTg7bdlWZcusqRVK4lqTEtuqFiWw7uushyRJ5qI/BORp1uLhBTaCjz7oEgH\nt8h3sRYSClVAZn6+VHRsJVVnDtErq7UskX/fLDLEJ7Jyjsjriu0hogGR7WNE5vUW+QL7sezceFfg\nuhCJiOzY7viw0rVrZc4558g7IO+AFCoUe4QqKuT7+++XVxMTZSzI5G7dtEfSRLKzpXTkSCnXrKg9\n6LEskcBKkT0PiGztJbL9aBHT4Xf9+/dFLneJ/N8QkXt7OV5qFRGJPvu4hDNdYs7+xvGxtVimKZGL\nz5ZwpyZi5ahPdBARkcIdIiPbitzXR+S6FJFdG9W1LEskuEak+BGRnH4iu86v+1ipn0F8+ey/hxkK\nSfbYsbL0rLPEijofbWFZlmz//HN5u0cPecHtltJNeqWpteao4O23tXQOdiwrKBFrkQTN56TavESq\noxeJZTkY+1KyTeTfHUTGdBd5Z6jIaoVp9dOm2HuIJjqrPNofKxyWqiEnSEW39mLqjFwQEZn4qMgg\nQ2T2+zFxDROTN2WfIfq2qUgw3izvf0HBd9/JVwMHytfHH6++WXrnTpl11VUy1jBk/Ztq/ZR+jqnb\nGuRgxbJEip8V2dJBZD32Y3MLexSNE1ZOF7nSIzLhZnvJbL2DSscY5lfTJZxhSPSFZxwfuz/RRx+Q\ncJZHzAWak+lL8kT+1knk3p4i5XtEVnympmMGRIpGiWR3EtmM/djRW8R0XnRQS9wU/Q+I1tRIRCM7\nY0Yi8sPYsTJv5Mh6iade9hUdhJhWkVRFh0p5NEXKoz4pj/qkMtpPLKu47iJ71os83UpkbB+RygL7\ntdO7tpXf25urH1DbK1ZL4M7bpDwzUaKrNDegfv6GvYfoQ72KRxERKZ5rG6E5nWxTlD9NXzNOnbEs\nS3I++UTKN2rcdYvd+Xr2dddp9TCKIyKBZSIbEm1DtMEnUuMwi7fmG5Gr/fZGZMUZmdamDRJukyaR\n6y7VOvebn3xgb85+w1ll9n9QXiByT3eRu7qIlNZDq4WKt/cZoq2NRMJ6LUQOZIr+u7PP4jgmXFWF\nNzlZeUbaoY5IKUG5k4hMBsBFD5Jc3+AymtRNIH81TDwFMjvCpV9CYqbzIHbnwjlHQbfe9j4ij7N9\nAbWEJ00keO0VJI6fhHfYJUoaACycDvefB8PvgeseU9cRgR0vwoY7ocmZcPhEyHkJOv1DSa6Qjwmw\nBYsaTGpifwZowl/I4nT1OOM4wjJNXG737x3GwYdYUPo8FI4CXy8Ir4VmL0PG1XXX2DgfnjoNjjgb\nbpoELue/BykvJzpkAEZKKu4v5mEkJjrWAJC1PxA9bSCuiy7F/e9XlDQAqCqBxwdDoALumwdZGvMv\nJQTFD0LZU+DrAeEN0HIGJJ2krsmBZ5/FTVGcPwQWUcJUkEAjpeNFwoTlFULyGAYuDDoAZSS5vsVl\ntKibSO738Pbp0LwPXPIZ+FOdB1JTDReeAIFq+HgRpCuYKsBcsZzqk4/Dd91NJDz5rJIGAD8uhjtP\ngkEXwb3jNYb/BuDHGyFvInR+CDrfD4bLNkoKmoJFCV+wjVF7/5uHRnTgUTI4Xi3GOHHqiGCyjicJ\nsAsv6bFHGl7SyeQw0ul1YIFwNuy+EgLzIet+aHwflI2DzBF1D2LbUvi/k6HHYLj1A/B4nb8Py8Ic\nfi6yYgme2cswWqsZECkpJjr4SIyWrXBPm4nh8ynpUFMOTwyB8nzbEDVRHCQMEFwOe66AyHZo/DSk\nXAiVUyHDwc94P3bxDbuYiY8M+hij4Ff8j9ot7AGwMFnB82TQkRYMIJk6XpDiHNIYuFnJU1STRyY9\n9j7S6YiLXz9ZiAhRphGy/oHFTnzGLfiNe4nKt7iNo+tuiLLnwqSh0PY4uPjDn1aB1BXLgjuvgJ3b\nYdr3yobIKiykZtgFuI86Gv9jTyppALBjA4w6C/oOgrtfUzdEgR2w4gKo2QL9PoOmQ/f9nQNNQQiw\niWK+oIQvCbMbFwlYBEnjaDryOF6cV8pEqMJLiuPj4hx6WPeSXT4AACAASURBVESpYivl/EiIQkpZ\ntffvfGTSiWtI5QAVtyJQPh72jARPK2i3GBL723/nxBDl/GBniDofDbe8q2SIAKzH/onM+hr3p7PU\nDVE0innlRRCN4H7rA3VDFKyCZ86Eklz4x1x1QyRhKPkXlP4LEgZC22ng7WT/7NNvcR4WxVSwgUqy\nKWIpYB3w/68XU7SKsT95Xc5WcviWH3iVVNrSgqNozgCy6I7BL6cHQyzAQxfcNNULpvhHyPoNl/9b\nWBbk50LLtloyUlmJmCaujAy9ePJzoGlru5WADqU/QObhWhJCmEq+JIXTceFX1ilkJTl8RZgKwlQS\noYIQZZiEqKGAPOYABs0ZSC+u+1VzHbAuJso0PMZfSDI+x2XYX0Sv8Ze6B1OabWeIupwJf5kMHsX3\n9e6b8M00mPg1dOiipgGE7rkDREh85z0MxaU3TBP+eQG07ASj31c+6RIugYVHgq8JDFwKyV2VZELk\nsplbCbAFL83I4kyyOItiPsdDOs25CqMOHUKqyCWfeSTTOvZoRSHLyGE6nbiYxvTHqEsCPLoBjFRw\nt1J6P3vZswmadFE3nLXk5kBrzfONacKeAowWLfViKS8Ejw+S0/V0qldBYg9wqZ8nAHbxEWn0Ipku\nez8jlawjhR51+10DFWxiI2OoYAMWIdwkkk4PDNwYuGnHMNpzCR6SDyy05057ySxzJDT5F7gUlqrC\nAds8tO4Nt38CPrU2Ftay77Ge/hfu58bhOuY4JQ0A6+XnkSUL8Xw1H6NpM2UdJtwE+Ztg1BxooXae\nQAR2nQbBxdD4KUi/3c5Ig+MbsNU8TBk/EqQQgCRa4acRIYoOeGy9LJ/Nkbt+8h9qKCAQ+4ddeGlC\nH1owgJYcSwL/aRAEYQ8nYrKdJC4nlRG4YxdBIYhBHT80hatgyp/gmEeh/yj1E9Wrj8OkF2Dq99BC\nfT204oxTMdxuUqZNx1Bdsw9Uw3md4PS/wh3PKMdC5Rb4tDt0vRn6PQsutYttDd+Tw3DcNCKD4WRw\nCV5aUMNy/HTDXcc79gK+J5sv8JGKjzR8pFHGFnbzHUm0oC2n0oYhJP6GSY7INAya4TGOVno/e1n/\nMXQ923FfkJ8QDsOyBTBwsFYoVn4+UlSIu7dmP4/1S6BFB7vnlA6737X3EHkUlhNjWETYyTM0Yggp\n/GnvxS1KBR7S6qyzhyWs4d97T3QAPjIIUwZAGp3oxDCacwKuX7kBA6D8fIjMhOTHIOEmMBS+n9XF\nMLoDHH01XPBv9fPNjOlw3YXwyTw44kg1DSBy/z2Yn32Mf84SjEy1LCUA9w0Gy4TRX4NfbX8KVhhW\ndwJPU+gyFRLUbhKiVLGUvxChFC+NyORoGnE0hXyLRYQu3EMCv20CA+SzjQmk05N0epFCe4IUsZXX\n6cy1JFBHMxBcAWYFJA9Sej97WTcLOvSHxLp/9n+OiCBzZ+IaNEQrFAkEkFXLtYwVAIXZECiHtn30\ndKqng7cz+LpryaznRXxkkE430uiGjzRW8wjNGURz4wT4X+0pEiwWcD+JNKUFA2jKEXjqYGosqqnm\nLap4EYtykrmUFG6jggdJ4348tK9bNKvGwLyR0GcEnPDcPpfphIoyuOQY8Prhne8gWe1iEFm0iMqT\nTyThrntIevhRJQ0AvngHHrwM7hoDFys27QPIngoLr4TmJ8PxU8Gr+L7Io4xJlDEVk3JSOQ0XKQRZ\nTStex4eakcxmOim0JYvedcoaxDl0MQlSzS6qyWUnX1HIkp/8fSMOoxe3kkbHXxaQaqh+GALPgOdP\nkDIOvEfYGzvx1N0kLZsCEy+FE29VN0bRKAw/Azatg6+XQnO1TI/s3kXwuH64+hyB7/3P1G/Etq+G\n+06EnsfDvR+pZxkDG2HLxRDcCh3GQWO1YgHBooqNlLKYEhZRwVrABMBFAu25kVZciOFw4UOQOmea\n4jQMBNPODv4vN1pLbL1O9aImBKjmHSoZg0URBl4MUmnM+3jpWTeRTe/CjMug0/lwykS15ZCd22DY\nADh8ALw4DRRPMMFXx1Fzy42kvP8RvvPOV9IA4I1HYdw/4amP4cRz1XUKF8GccyGxOQyeDsnqKXuL\nIJV8QSlvEWQ1AG4yacXLJKGZuYkTpw5YRNnAG3hJJplWe5fUPNRxT1j0B6i8AaJLIPF28P8FQu9C\n8nN1Nzj1YYxKS+CMAZDRCD6Zq9T1HMBcvJDwGYPw3H4X3tEalYbrF8A/T4FjLoCRE9WX7q0g5NwF\nBS9Bk6uh3RhwJ0O0AjxqWZJSlrCGn94cptCdrvyDlAPtB4oTJ8aBTFF9oNUv4NewJCB75CzJlSzJ\nlSzJk44SlCV1F8j5VmRsqsiHJ4kEFScvr1gg0scv8pja0FcRu6dI1XXXSHFGikTXrVPWEcsSeeQa\nkWMTRdZ+r64jIlK5TeTTniLvNxMpjP1MQ2VqYYklRTJW1ku7/R6dpFQm6cUY55c5RPtP/VexTJGa\nV0QK00X2JInsQaTaYQO8pZNFbnWJfHC7+u9o4zqRjqkit1ym9XuOvPmq1CQj0Q/fU9YQEZHlX4pc\n4BUZN0L/c1f8kcjSDJFVPUQql4isO1nEaYf5GGWyQorkOymWhVIiS6RUlkuZrJZK2SCWxL8fcX4b\nDsbmjWHZLGVyvxTKhbJbDosZozYSkFl1FylYLvJqU5FJfUWqdotsmOz8yz19skgPRCa96Oy4/bAC\nASk75igp7dVNrHJFgyYiEgmLjDhN5JQmIjv1mldJqEzk21NEJieK7PjQfh5xPsbCEkuiUiYBWS+V\nMltKZYrskWdll9wjleJ89EmDpcZB88hfo3SnyJqP9XXi/DI1r9mGqPYReNfZ8fVhjGZMF2lmiIx9\nWu34GKFbb5CaJklirtEcvjlvqsi5hsjkB/V0RESC2SJrB4osdoksRmTnA/qacX6ZLTP0NSxLZJuD\n6+1BxEFpin6OKRUSkqVSLe+KKQ46R5duEZnQSWR8B5FxWSJbPnH+j7/0kEgvl8i8L50fG8PcuVNK\nWjaVigvOVZpOvZfKcpHhfUT+3E2kVHPsgxkWWXyDyNvYj+V36+nF+WXyl4vMu1dPo3KPyBPdRTaq\nzzTaixkWCWl+dhoaVlAkMFmk4iqRolYxY+QTCc11prO/MdqxVGTLd85jeeEJkeYukW/Vp89boZAE\nTx4ogd4dxSrWNORfviJyDiKfPm+/DgXUdMyASM79tiFajMhiQ6SsHi7ecX7Kjx+IvH2mvs6Me0Xm\nNMyZdgcyRQfNblYXqfjoTxIX4fqtssn9yegEg16CyhwIFsO82yHicKLzTQ/AWZfAnRfBpjV2uXMw\n4Cz+1q1JmfIekc+nE/w/jbX+lDR47nO7Ku3u8yAUhOyNalpixjaix5ZW1z8DxcvUY4vznxT+AB+e\nAunt1TUC5fDa6bBnAzTvrRePGYKVF9rdeOPsw/BDwnBIfRMa7YTMHyH5SQi+CmZO3XX6D4fL34G5\nL8Drf4ZP77XLjJ1wy91w/nC4YRhs3uDs2BiGz4fvnQ+QYJDwVcPtcn1VTr8BLnscXr8dZr8NY66y\nz4FOcSVA1jBoOQp8bQGBLX+F8C712Boa4U1glqsfv/lL+GA4NKnj/ttfY97jMP//oJleCxfA7jsU\n3qSv8z/ioDFFyphhKFkHSc3t15U7YOm/nGkYBjzyOnTrAzcNhY/ehE/fdhyK94QTSXrqWQKj/0n4\nyy+Q6mqkosKxDk1b2cZo82q7Km3kmVBd6VzHnQCHPwx9H4XEFvaFctHV9s8sDgBRFiOqmdbi9fDB\nEAiWQJO+ahqRAIw/B/JWQFIjSNXoI2IGYMV5UPUj+DXL9BsyhgGenpB0O6S9A26HxQgZraBFLyjN\ngW0LYO1nzv/9Z16DTt3ginOhrBQ+/8iZBmA0b4F/8kdY380hOvofiGlibdnsWAeAP/8dzrsLxlwJ\n302FBe+r6ST1gjaPQd/t0GMeNDofskeARNX0GhKBZZB3MbgUy/Sz58LUC8CMQDONdh6LX4CZsdE9\nOjoAVhXsPseu9jxIaPimyO2DI+6AK7bCSa9BemdY8RSUOsyu+Pzwwsd2FcaD18PE55zfAQL+Ebfi\nG/5Xqi+7hJp/3k9oymTHGgB06AmX/x1mfgB522DaG2o6CY2h9z/gvGw4dpLdaG2dRhflBoIgBHmB\nEK+ple2WboYPToZAoZ2Na6xwcomG4a2/wLZ59uvmvdV74USrYflQKPoKMo5R04hTN5p0gY7H7Ztj\n9ekoMB1e9BMTYcLHUFUJQwfCqBEQiTgOxXXkALz/Hkv0308Suelqok8rZqlL82HTYruxLcB7j+x7\nroLhgrTj7VL9zlPsvkaHMtUzYedg8PdS+47nLYXJZ0M0aL9WzfCsHA9f3mY/96dCejs1HQCzCPJO\nhuAS8Gn2Lvof0vBNUS0eP/S+Fi7bAKe+DT++7szUiNgZorxs+/W29bBghuMwDMMgcfTD4PMRGvMc\nodfGISqz44p2w5pF+15P+bfd70QVtw86XAJnLIGWp9vN2w5RhAg13EqAv+PhFAUBCzZO3dfrplF3\n8CqMDTFccOGrkJBuZ4maKXZqj1TAstOheJb9uh5MkUmI7XyonkVryKS3gIvHwn3r4IgLIX8dLJno\nXCdnO3Tqai+hFeyGLz9RCsd15NEYvQ/HnDwR88N3kdJS5yKNWsDd78Hgy+3XO9fBIufZq18O0A9u\nhe9HQ6Hifcg9086qJA1S03D7oPMZ9jnD5YYmPZxrWBZktIfG3W1j1rS3eiuGyA7IPQ5CSyDxRLV+\ngb8TB0+k9YXLDV0vhmMdZkMMA665B8Z9CS1i6fSJzzn+58WyCL83de+JyVy9CnP5csc6NG8Dz34G\nj70LWc3tUSCzPnCu83MMA7L6K01rbghYlFLFeYR5E7sfu4IpMlzQ+xoIFEG3YdCsv1owbg8sfwes\nKNy+FHqdo6ZTtQ4S9htnkalniirYynxuIUog3vzuQDTtCle/B3/7HjbPscc7OKFPf/jTgH0XpvEv\nKYUhRYVQEdunEghgTnG+9A/YxmjkW/DEQujUTz9b1IAoIIey/bqs15nSl2HXxfa+G4AkxW74Ge1h\n6ww4fhQc/w+13nwuF3gSoGgD/HkSdFM834TWQu6xEImtxiTqdfivJZ8cwoTqRetA1HvzxkOC6kp4\n7j6Y8hJMWwudnLvy6MqVVF3xV6z16/Ffcx3Jr7yqHk9lGbx4L6xfDm8t0Z/D1AAIEsaFC5+DLrdC\nBVUMI8ocANwcQxoz1QKYeQts+QSu3gLhckhu7lwjVAWPdYAjr4ahT6jFAfaG+gX9wNfU3rtx5Ayl\nMS+CxXY+ZCNvYmFyEpNIJL43qU6I2ObWrdAdeukiuO0K2LYZ5q6F7s4zhlJRQeTvIzHfHo/RvSf+\npWtrG9ipYVkwczy06QndD93l2CA1LOAzctnC5Yxy3rTYLIfcsyGwCDzNoVOO2vl7zsOw8BkYuR0S\nM9WvARNPg1A5XBtbhVDRMUug9CkoewIQaLMG/OoFIjVU8h3TqaGa87lWWWd//qcdrQ8pVi2CNUvh\nstuUDpdAgJr7RhGa8CaZ2bkYaepzcABYvQCatbWzSIcolQSYxQ/sopQbOc1xJiPKMioZBCSRyD0k\ncNdvHfKflGfD+K4w+Hnoc5Pz42uZ/RTMGA33ZUOKhvnIHQ9rroXjVkNCG/A6H/QZoJDVPEkxKwFo\nygCOxGHBQhx1amrg8fvsJfLHX1CWMadPIzziOnyTPsR97PH6cYkckjdhgsU6vmcenxCgitO5nJ4M\ncC5U9QXkngWtPoHQD9D4AecagTJ4rj0MuA1Oetj58bXkLIA3joPLvoLOp6nrmCWwoxukXgwY0HiM\n0mfEwmQVC5jP54QIcCl/owUae5z2I26K/ptYlvb0+sjMb5FQCN+ZZ9VTUIcexVQyg1V8xzpMLEYz\njBY4G4ophKngWFw0IoG7cdEcNwp3OF9fBTvnwFUb7bV+FULVdpao/xVw9lNqGmBvsJ7XBZqeDb3H\nKcsEKWEL77CDTwHox0M051j1uPYjPoPKAWtXQa8+WkZE9uzBmj8X9wUX1mNghw6l7OFr3mYX2wBI\nI4urefDAA4h/CSsI23uDvw+0/lDdYM4eDYuf25clUuWtIXa16zXz9Yzunpuh+gNou9GupFMYtpzH\nNr7hPQqx2zW0pzsXcrN6TD/jQKZIYyR4HEDbEAF4Tx6ittk6DoLwKUv5guWYsbl7Z9LPsSECCPIk\nFttIYSpuOqkFVLIB1k2EU99UN0QAi16BcBUMUshU7c/2pyFaCV007iCxB7DmMYsWnEAF2TRVuSuO\nUUaUVVSzkmrWUM21NGMgmlnSQ4Xeiq0d9sNo2jRuiDTIoAnt6bnXFB3JKc4NEUDJMxDdBW1jS/Qq\nRiRQCov+DcfcoWeIdnwH22bC5d/oGaLgcqh4BZq+AW71eJrQilQy95qiYzhdPSaH1IspskRwHYIp\n1PpEa33/IKTKEjwGJGi+bwODI+nMt6wmQJjGpHIW/RzrmKwlyJMk8oi6IQJY+CBkdoUel6prhGtg\nzpNwzE16fYmCu2D7k9DxH+BX1zEJspzRJNGMPtxDkBJcChPJ36GQqRSxPbZZ0gCeor1jQyQih9z3\nJY4elWKxSCJUi0UVQhVCNUKNCMPciXQ16v553slGFvMlvRlILlvopTL8OrIDiv8FWf8Ar8aS0KLY\nAOKjR6prAMx+ENoeBx1PVtcQCwpvgYSjIfUKrXDWsZRt/EgP+lNNOa3p6FhjiRWmHCGIEJLYn0Cr\n36iEqxdT1LswwtFeg6EJLk71u0hxxU9YcQ5MBOhdFCDJgN4eF4d5XHv/7Og26myyt5LPGKbTnAxc\nuDiTfvhxtplViFLNjbjpi58RCu8mxp5VsOk9GPqeXvXe4nEQrIBBd6trAGx+ALyNoMMdyhKCsIbn\nCLCH4xiLmwSSaelYx8CgIwnksa8fzSO05UyFjN70SJTNpsWIBB++uDk6JNhIiJZ4SVUsmE7B4BMr\nyGRrXwVgE1y84kl3ZIgKyGEar9KZPgxhOOUU4XF4vrGF7gRPS2ikkQmuKbGXzQbeBYkZ6jrZc2H7\nbLhyll6WqHI8hJZCm2VaJfgbWck3vM9ATmcgp1PIbiWdAiwui5b95L9d4UrkYlfqAY+rl5L8XFMY\nH7D4c2mUrPwwpxeHeanapMqq+5LQbHZQiD1+o5SgUhz2xW220rE/IVQKhSv0dQo3Q1muvs6eedpd\npgWLEuZo95WpIsIksolg8Tl5ynrTQlGKLGGjKXwYMhldHeGOyjAfh6KU11HSwuItZtGR5tzFeVzK\nifShveNYTFZhsZVkXsFQSYPXkjMTmv4JuvxZXQNg61w45kZIU6hYqyVaDcWzoetjWj1gathFAQvp\ny71KZqiWddRwHVvpQSIAD9CaC8hyrLMsavJSMMyoQIgjyquZHo4oLT1vYweFFDs+7ieIQPhr/ZEp\n0RDkLtDTAKgqhPy1+jo1a+tl9EYOy4lqllALwkMU8jFVXEAuu1HrxTZLwj8xRIMNH/O9WZzscla6\nvpgvaEF7TudyXLjIpKnzYKIFEJgPzcbYo09UyV0EvhQ4+nZ1DbANUftB0EGzdL7qQ0i/CfxHKEuY\nRJnHdI7gOAZyBgYumtLqtw/8GRERRkb3jUtphMEkTwbPe9JJ+Q3DVi8brVvvDpJrgQ8Y7Dc4O8HN\nUL+Ldp66yUcwGcm3VBDiZvrxERv4PwbjdujZqpnJbq6kBRNJRuMXPPd62DUTLlqvvi9EBJ7oBh1P\ngIteV48lsBs+awd9n4Wu6lmMSlbxI1fRiYdogmL/CWApxdzLKtqRzB6CXEYHLlaoCFgdMflbZZjZ\nEYvjvC5uTfJynt+Nx+GdSglVpJGIR8fMYJfjG/WxryUSAG+inoaIbYJVeo3sjxmwG+NpNk4LU44P\n5xVrP2cV1XQhgXcp4mrUlvMWRKJcXx1ky379cYZ43DydnEAPd90+A4LwGhMpopjruIJGZBAhSgIO\nf97RzVDaHVLGQuINzo7dn2UvwOy/w03bIEXDCE+6EEq2wYhl6nf8YsLqbpByDHRW7GcEhKjife6k\nJT0ZzG3OS9VjFBHlMnazNmaumuHmLVrSy+Hvqlos5kiYB6OVXOZO5FZXstKWjwghBMGHhpkBu1Gj\nK0VPAyASBK9mLPWlI6bdb8mld/6rppIkkpU/M7V8bQV53wpSKhYvedJpvt+G7/969dl1pWHO8Ls4\nRWPprIYIz7GUxeQBMJyeDMdZPw5BKOBmAiyhLd/iVkjNA1CxHd7tBgOfg14aO96/fx0+vAnu3QyN\n2qvrrBgJOybD0C3gVb9wZ/M0e/iIw5hCokZp43aquJVllBPBBTzFnzhK4a7/meoIg30u/uQ9NBtF\nxnFOvmUxrCqAKZDugnTDIM0waGwY3JDgo3UdCx8CBHmDt6mgkhM5lmqqOZWTnAdUdQcEJ0CjDeBS\n3LcVqYGXO0KPYXCK84awe8ldDi/2h8s/hZ5nq+sUfwBbLoSeCyFVvQfRLn7ka57gMIbSn4sIUYUf\n50ZgCuXcSyG1NjgZg5dpzmAng8FjrLEiHOZSWO6Kc1CyworQ1/D8hwE+KErya4jwAstYgL3c5MLg\nCQbTzeHF1qSUHIaQyACaM1Y9oPm3wrb3YfhW8Dr/8gH27KonukK30+Av6uXQhIpgeifoejscpl5F\nZBFmLfYGuN68hRDFjfOllenkMZ5t7Iktc6bg4TUG0FpBK06c34sAQV5nInnsxouXu7mVNA683+A/\nsCqhtCd4T4C0SerBLH3ezhbduAXSWqvrTDgbKndpZosE1g8Gqxp6fa+5P2Q2C3idAVxKHms4lXuc\nhYKQj0kOkf0eUXKJcAOZnKpgjOLEOZApqo9b9NGjR4/WFvHi5jCakoGfQmqoIMRaChlCB7wO0mgu\nEvHRlRKewEtHouTjpZ3zPiiN+8Hqp8HthxaKTc5cbnspZdZjdr+ZRMUlCE9S7ET1BHS8GrwOT9wx\nDNykcSS7eJMoZRTyMVmc4jhN2ZU0LqItx9KETHwUE+Zb8jmNFvgOwckx/zWsEDjYBBrHGVvZxvcs\nx8TEwiJMmB50dSZi+MHdEWruB+9AcCtWLjbrC6tes0fDdNboV9a4K8x8GFr1gybd1DQMA5L6Qt5D\n4G8PyeptABrTgWpK+IFPqaCAtvQjibpvCjYwSMVFa7z0ws9AkjiDFC4mjU5otLxoSNRXA81DqBHn\nQw89BPDQL/3dH+oKlo6f8+nGWE7jcQbRnSzeYY1jnWQGk8alFHI/e7iTMOucB5PUDA6/A1Y9AcES\n58fXcuSVkNIMZj2urgHQbST4MmDtL/4e60wCbWjFVeQzhVLmUc4yJR0Dg26kcS2deYtjeJy+7Mbh\nbKeGSmSbvkYoD/In6+vE+VW605URXEcv7DE9S1mhtvnafx74zoXKm8EqhLBCsYcnAQbeZxuj8h3O\nj6+ldX/oPhRmjnY28PrnJPeFptfBznshWqGsVcAmcthXtLKOr9VjivPLFE/R1xCBkvf1dRoAfyhT\nVIuBQS+acAdHMZxemA4rnMJsJ8puLMoxKaSKL9UCOfwuuxvnqtjcKZUTg8cPJ42CJW9A2U61OMDO\nFvV+GLa9DhUb7eoiBQJsp5DP9r4u4gv1mPajNUl0drr00BAxy6D4fn2dvFegUmFQ8M/DiX0P4vwy\nTWnMZVzEzVxDO9oyg1lqQikvgJUPpUdC8C01jT7XQEoLWPCo2vG1DHkQ8lbA+ul6Oq0fsbsu73oM\ndj2udP5rRlcu4Ek6cRwAW1lIIP55rD+iFZDzN/0KyKpFUPhm/cR0kPOHNEX7k4IPt8OlLx8dSOMi\njNgel2pVU+RPhyNGwdoxULAYtk5V0znqakhuArNi5kp1snSHKyC1G6y+Bxb8RekklUQnDmMyWdiz\nbUqZhaXYAiHOL1DxBgQX62mYQcgbB9XOs6Q/p4bXiLJJW6eh05bWXM8V9KMv1bHWIHVGTKh5wl56\nsHZAZIb6DdSxD8AP46F0K5Rtd64B/5ktiiqWxbtTodmtkP8M5N4HIbUMaAKpnMhNnMLdJJLGBtUh\nyw2McpYiii0G9lI0HiL5EFL8rNSS/zzU6J9vTAJUsUFb5/fkD2+KVEnhTFozDS/tCLOJMFuci5hh\naH2ava/o0xMh91u1YLwJcNK98P1rsPYTWP2umk7xYkjvCXmfwu6voErhPQFukunM47RnFBZhSvlO\nLZ4GRi4/6AlIFMpfgOh2u+RWlYIpECmEqjVaSyAWVdTwJlE2qsdyCGFg0J0uJDstGDDckPwYeGKd\nja3dYCos2QMcdgWkt4Mvr4PPLlfTgH3ZorlPwMxH1DSqV0LBi/bnGqByvno8QBv6cj72jaGlawYa\nAHm8TjBWba2EmJAfGw6sY2hCO6HkQ4jsgqjGVhFgD59SqXse/Z1psKYIwE93WjOdJE5UW0JzeeCH\nZyFcDlYYihQbOgbKILkxIDDhfMhbqaaT1hOqtu57XbxUTQf7AtCci+jFBKoO8g9xfRAlxGIm6DW3\nrJ4G0dh+kLDiRVEEcsfEgiq19xYpEmASQlm9mCILzfR8Q8eVBumfgz9mZMIz1HSWPW8vheyYDfnL\nwFIwD2YUcpdCWkv4ahTs/F4tltRjoMcc8MQaFFbq3zz5SOIILtBrktoAqGIdFSwhiMb+sbIvIBS7\nHgQ0TFHBS4BpP69Rb/4pRMljEgGd9/QHoEGbIgA3GbTgLXx0cH6w4YITX4cul9mvS9dCVGGpKSEd\ndiwCM2K/zv/RuQaAvxEM+hYyY7O9Spao6exHCj1pXY/Thw9WNjGHCgoIoZHhKfv3vudhxZNL+Xyo\nNSCuROUlNMGkhpcBMOth+eyrgzwl/j/B8EHqBEi6X90U9b0BkmP9jqJBKFXIBrs9dll/VYH9ukCj\ny3VyH+j5Hfja1IspqsVxNXADYzf2vrMA2eoi+WPs6kdQzxSZNVA4nr3V6RoZpyJmEmJX3BQdDBi4\nSWGo2sEuNwwaD53/at+1lSh8aAwDznkO+sXMlU4rvjo+XAAAIABJREFUfn8jGPwNNOoPxfqmCMCN\nZgfmgxyTKGv4HIAK8tVEovmQfB4YiZA4CCJbf/OQXyRtAHSPdUD/01zwqY3WCDEdM3bCjWoamiKq\neI9V2iNiDgkMA5IfgYTL9i07OcGfChd9aZfoAxSsVouj59lw0UQ7nsp8qC5S0wFI7Ao95wMCkQJ1\nnQbCTsJs1NiHGSSXYr6NPVc0EGJCh1chuR80vhLSFCc4WAE4bCVgQOvHwNNILRyEPCYC1IspWkaN\n4wKr+uKQMEXauNwweAJ0GgZFihVBLhdc9Ab0OgfKcuyBn6r4MmHQN+DygRVR12kg7NIbC8dWFlAd\nK8WuQPGk72kO6deDBCDjb5CpWIHm8kEwx36efBik9lGSEUwSGIaLJrhpizjdPLwfH7GGABEqNedY\nHVIkXKLeYyoxE4bNgKwesEfRFAH0vQTOs7OF2jPR/G3tjJHmnpOGwLPsIR/18+5u3qE2G6ycKTLc\nkNABwjmQ2AOa3aSm482yR3NgQdogaDxcSaacpVTHlulD5GNqmEZBeIQ9lNcu6f2PiZuiuuLywElv\nQ2pHdQ23Fy59FzoNggLFPSe1+DLg+GkQVb/YNRRuzQZT8abCwuIHPqM2faxsigAisTskTzu9+T/B\nHPA1A7f6LKJELsDAj4duZDINVCZ5AwVUMofNAJRoGKs4DklqAsO/hYha6429DLgBzngC8vUri/A2\nsy/AhzBrCPAZ5ZRoXLCbcDaNOJlU+pFCT/VgrIg9uNevPrIJgFDsJszfVlnCTTLtuA0DD624gpDG\nBvLpVLKaoNbPWIe4KXKCywNtTtXT8CbAVZ+qD5rdH1+6/TiE+aIMPiqFgOI+4ChBTuPv+EikB6fg\n1Rn0WLvJ2lsPJymNE1QtJtm4aY+BC0PRFH3I6r1p7GI0L9BAUDOrd0iR2hJO0OxZBHDiPdBZYa5b\nnJ8gCI/HltdLNKrnUuhFiF0k0512/E09oEgeYIFP81wR2mFnNb3qw4hT6YVJNQm0oj0jSEQteRDC\n4gkKASiNm6JDiIRUaP2n3zuKg56AZWeJAIKKpshHEh58hKmhLf04DI0RC5FscGXalUg6BHMgof5M\nkSr5VFBAJWDPItTNFK3PgwnztCQOPfz11BC1mbPh2nH+k9lUsST2HdC5YAtCkJ0koGtm9DM8gL0E\n52tjL8lpYL+nNoD6RvqJlJIbW5qMZ4rixHHI47tgW2ybi2qmCKCcXQCk00IvoOgOe+lMl3owRUIE\nk1zcqMfTjFRujnUivpNBNNPoWF5aBec8DSkaibg4cXTYtBXWKxZiRhFeopCE2MVeJ1MUpRSTqr0G\nQpnQDjC84NU8b4V26GebsDeQ67ynMkzGsW/Pmm6myDRhsULXmrgpivO7UVhoEYmobQbaFIBx+23/\n0TNFu3HjIxm1you9RHeAt72eBtSLKTLJA0ytTJGBwY7YSao3LTgctUq4qAkXvwBbCqBlpnI4ceIo\n880cGHwetGutdrwAU2hPEi4upxFtNYbRBrHHPWmbonAO+FrbrWN0dTT3JQlCgBwSNd6TAXwQu4m7\njkZENKrPikvgrIshJ9f5sfViiiZMqMSy1N9ASQhe2wKvbNaLYxc72FgfjQiDn0BYs9zdDEDemxBU\n+K3sh1g7MSMvIzrDHYE8ClihMhj3ZyzNg1eXw8rdejqTJgV4/fUAXq9amrWNH1YcBsOyYFRLCGr8\neJJoRHdOxtD9OiQcA8mKrR9qEYGmF0DqkXo6QALD8Siu7deSgp9T6Eqi4p4kAEvgrrPgvP7QStMU\nrV4Nn3yip1EpwmvBMAWWRbap7qarySVHdYTQ/lTNg4p6mEFY+B5UKTaGjWFSRRlTicb2dahSQICP\n2KndxqGoDB54GWo0JxGVV8BfzoYkh83Ka/FiYAFDSOU8MriRJsqxuEigMWfhR30PDwAJ3aCxRtfz\nWlJPgHS9vbJClMacQgrqy7TpuHEB55LGCLL4KxnKWsGgnSk6S+Ft1UcHLdG5YOcH4M/fwcIiaJME\nOeepBzKPL9jIaq5jlLoIQNEA8B4N6c+ra5gBmJkEfT6CZucry1jmTCKhIfgSd2MY6l+imSxmHst4\niBHKGkvy4Lx3YXcVfD4czuyiLIVlCS5X/TVwswTqUS7OfwnLsrtTqDJvHjz3HEyeDAkKS3HZpsXs\naJQbq4P0cLu41u9lRIJfKZZdzGYlj3M603FrZA7YeT2ENkHnOeoaAEt7QJMLof3DyhIm5WymD60Z\nTwqKvW+AFZRwO8v5gONphA+v4g3HU2/DPWNg8XgY0Fs5HED/sxfn4OJAv2/DMOBX/M/v/hFpngjn\na2YRa8miGSUUYerO1XG3BzNbUyMRvE329ZxRxDDsTtxi6Q38a0ETKqiimoCyxlGt4MJYBWm1Znuk\n+jREEDdEBwu6F6UTToAPPlAfCdfGZTA2VgK33rRIN9Q/OMm0Bixq0Eyb+trta+egQ0LbfZtvFXGT\njot0whoN+IoI4Y9dWsaxmY9iy0Uq3HUp3HEJrKyH8X1xQ3Roofr7/kN8TO7oBkdl6etk0QzBopQi\nghoX/3oxRQCJbbVNEUYbwIWIejwBgjTF/gGvYB2rNDocPzEE+jSD6nhpdZzfCZcLEhXbQLkNg2eS\n9qWY9ExRK8BeRtPC1w7CuXaXYh389XC+AXy0I6JhilLx8EBsG8M35JOCYhNL7Ibcz4yE/od2e6Q4\n/0P+EKbI7YI3B4BfI5pSCsllGwBf8R4/oDgEEfaZIs19PCTon6QMwwtGG0TUM0VhIrzAOwB8xDdE\nNDJpCR6YcoHy4XF+ieAe/c9anDpzgtfDn332hVrHFHlIwk8W1eRh6nT79rYDohDRzDj59TNFAF7a\nEkZdx4+bq/bby5aF2vJkLYYB/TV6HDYoTI2b/VqsiL4Bb8D8IUwRQK8M+Odh6sdnkMVKFgKQy3bS\ndSqJ3O1BKkDK1DXANkUB/ZOUYXTQWj5LJ5U+dNv7uhF6fXR6NIHhmuv7DQIrBOX10HindAVse1Nf\nJ06deSwxAT/qpsjCJJtp+Egln3n8wNPqwdSWQ+suoSW0g9BOEI1STPZliixqMBUHJJ9BS9pg72pu\npLPfKs5P2fSQvkakFLLH6us0UP4wpgjg0vbqxxq4OIYhe19noLEe544FYmaDpTGjLKGNdqZIxMQw\n2iOyHctciKgMmQRO4mjc2M25MtHvgu1Xz4g3HMSCLdfq371ZEVh1FwT1hm1akS+UPx+HGu3dLu5M\n8CmbIhduKtlOJdmUsQEPyerBeFsBbghrmiJ/W3uOVVj9c1TGVEJsJkIO2zkLFHvFeHBxHZ0B/UxR\nQ0DqqxHhrvdh90eawURh/Sio0bw2oWe+/6j8oUyRRiYbgJ4cQQaNAQ1TFFkHwffs5+W3QWC8ekAJ\nbSGcD2YQImqDFKOR2xFrPmLNJxIehqE4ZDKDVI6hDy4M0jWa8DUUrHo5SQkEN8POBzWDiUCkDFaM\n1NRZiYT/T0/jEOLuRD/NNHbod+RCak+h9qZrBawAmBW2MQquhdJJyvHs7WwcyobAFiWJBPpQxQyE\nMBaVuDVuoAbRlB6kkRHPFFHJRKz6mB0oUVgzwj5fKGuYYFbDmpu0lu0DLCaMZh+dPyB/KFOkiws3\nx3AyiSTjV51h5ekOgcn288h88CguZhdOh6LP7edLBkKl2pRqt/tyRLYAIQyju1osMU7maLLIjHWD\nOLTJ5r16uNOJHZ/3DFQqtE6tpTa7kzMVdun0q/FghR5CTL1eNYcKyYZBkuZG6xYcH3uuaIoMP2w9\nEaIFsOdxqFHsj1a9BrbGTPW6P0PZbCWZBHqQHHtPPjqpxRLDwOBueuKul84vBzdRdlKCequEvYgJ\nod2w7u8aGrHzzZ4vYNdUnWDI51ZEZz/dH5AGd3XsTX/a6nyZDRck377vtUexGVXGsZD/vv28ciWk\nqm2YcrmPwnDZoxZcLr35RRmkcUbshHeoU856tjFZT2TvXZYFW64BS7Ekz9qvv8GymyGito8DPEAU\nM3A5Iuonqhqdys1DjE4MA/ZVojnGcEHWDVD7+0pQ3KyXfBhEYg0Xw7vt14o04gYA/JqmCKBLPCsN\ngEEClUykhhl6QntvoF6FormKGvtlydfeBqEiJRmDBML8SLHOfro/IA3OFLnxcBLn6okkXgFGJhgZ\n4FKcK+PNhJZX2M/9re3Xirg9dwJguPRLMPqil21qKHhIZjPjKWaVhsp+mSYrBAWKm6UlCpmxAcFH\nPAthtaVWakufrbVYodGKGjCTBRShGsOhRTpdaMJRJOl0J868ElyxZaoEjWqTVvvdzCWp30AlcSx+\nempnihoC0XraN2PEVi4KuZMoe7SU8KRBk1MhmKcmYUXBE/u8Nb8AKtWmQLhi76mMV6hhvlosgKXZ\n9by+aXCmCNCrPANwJUPS9eDprbfRqe2t9p+KWaK94bjPAaMjhqE/6Vp1enFDw0MKYPEDjxBSNgAC\nLW6DhK7QaCi0uFFNpulJcPJ3dsPPUCEkK84923/KtbURsbKVZPz4eIOp8YxRHenFzbg0xqDgToGs\na+znCRo3Po3/DL5WkNABPOoZGgODRlyPL7ZR+lBmE+XMjg2M1qHWFFmUUMRI9aX7P02BVsMhXASt\nL1HT8KTCcQsgpQe4k6DxSUoyxn5bVAoYiUmpks5c8smlWunY/wYN0hTVC8kjwNtXTyOlB2SdCimH\na8kYhhuPZ2S9ZIoOdpZaYco0S44BvKQAEKKEH3hMrTrEnQ4dnrMNUcl09WCS24AnCZoOht1fqesY\nWbgSXgfA5RuJ4WqvJJNJOoWUMIH3idZX1UwDRnk/0f5kjQBfR3BrtMtweaHlzVpLZ7WkcRaJ9NHW\nOdhpTypPsIoF5GvpGCTsNRGJnEAUxSxP40HQ9AwoXwFBxZgSW0FqL1tnj/rsPvv92DdiiRxNkNVK\nOpn4uZOl7K6Pjej1QNwU/Rru1pByt75O29u0M0UALs/1GIb6gLyGgh+DM6Il7NRsPuYhBXesj0pL\nTiWEQjWHYdiPzLMguEm54mcvLU6Hgpk/3WPkJBzPMAzv1eDqihX9WDmMRrFBjNvI4X2maw/1jFMH\n/B2g2f36Oi2uh9SjtGUMvLg1BnI2FJLw0JREHmUlSzSWvbx0pSWfAx7cNMGrMU2exieB4YXCr9U1\nwDZF1RuhRq0HnoskmvMifo7AwE0yg5R0OpNKIUHuYAkFf4DsdF1MUQLwPbAKWAc8/l+N6I+EW3EZ\nY38anwGNhvz2//cbGEa81wdAb8NDsVgMiRSzStE8AKTTlYG8ggsvFmESdPpapR0H7lQo/VxdA6D5\naRCthKJFSocbhmE/POcjkY9RHdTcaL+L4RayWc4aJZ3VxUqHHbpkXqGv4W0MLW/V14mzl46kEcFi\nNMtZhdqm5ESOxkcPEjmeKqbpBeRJhUbHaWV5AGh0PLiTlXXcZJLCUFI5mypmYBFU0knBS0sSKSDI\nnSylUFGnvqiLKQoCg4G+wOGx58f9N4NqUBgu8Df7vaNoMLgMg5NcPgqwOCtawteW2hcok8NIpg1N\nGUgemndcLh9knKa3hAaQ2gWSO+gtoQEuz/kgO8BS20SeRipZZNKYTLrSkf6oLf/OK4BTv4IVateR\nQw+jnhL3Hr2O9Q0BkfqbnNM5NgEgjMWrbCBfY5knmbMJMBeTcr2gmp4BhTPsTdOquP121knTXKUw\nFKGKGtTaQMC+n3E+NTzKaqrQnDiuQV2/hbWfAh/2ImK8NCXO78bJsaxZNcIt0QrmWurl5y05jTLW\nUqO6xl9L5llQMdfO9KhiGPYSWr6eKcJ9JBgtsSJqnW/duLiBv3ICR7OCtVQojnq4oRtsqYB+n8Lw\n2bBVozl8nDhOeeBzuHoSTF0ORapdLrAzRR1irQUuphPNY8vuKiRxOgA1ujdiTc+wx3WUKfa12l+n\naJbdYFgRDy1I4Eiq+ExZozNpNCcRMLib3qQoFC7M3ABXvw0TF8MOjSx1XU2RC3v5rACYjb2MVi/M\nqI7PwjxYmFGk/rsKhuHZT+CGl+D8x+BljR6Fg11+3EAaBue4/JzoUl9abMyR+MgkT7d/SOYZIBEo\n/1ZPp8XpULpSa+SHYbgwPOchmvuK+nM4fnwsYrmShs8N/+pnP5+6Habv1Puuz1kHOwrVj49zcLG+\nELarFTRhGPDP02Fn2f+zd97hUVVrF//NpIeE0HsXlaqCYMGGKAoWEBT1eu2K1+699i4o6rWAFSyg\n2FCKIKKCgPTeew0QAoGE9DqZTDnr++MERS8ls08+FZj1POchYXLW7Jk5s8/a+33f9cI/Poe2r8Iu\nw6V8K5J4hc6cT30+ZytBBzl2EVQjjgsoYZIxB2AnSsc2ch5Cq9MTgh7IneeIJoFelPCLsWv3GdTi\nA86mAXGMxCw386JWcHJduOULaPYcfLvSiIaII/8JAAI+BIYBzwLbgJ3ljw0AmD17NrNnzwagWbNm\nFR5A370wvHwF2cnQhHo/FvIxAEk0MCeRH1KvhZhWEOXAeyR/Pax6GOp2gwgHL6zoSygZB3FmZZP7\nMZ2xBPBTy9BPZZsHuq+AH7PhylpQJcRuI5ERcHJDWJYMo+bAmSfBeYYOA/EuF/Vxc01EHK1dUbQw\nbH0Cds+8OOpSjdbElreIMUJEgl0OXfVsiDT3pCKuAcQ3guodHF03LncjXBFtwN0Wl6GtRAQRVCOJ\nJjQgybCJcNvq8NNuuL4FPNIOYio64/wBH0yHG4ZCRj5cbZhHLMRufPxCARPI4TyqOrKoSGckJWwg\nwTC8+Cs23Wf30aty8pH/9lAIeGDxdZB0CsTUNqbxsxAPg4imOy7Mv1fjWUUqOZxIHaPzfUG4/Bt4\nfxn0aw1JBl+FCDf0bg8/bYQr28F1Hc0cVuKIpApRNCeRmsTSkqq4HVw3kTQgmjZE0cKYA5cL4ppC\n9TMh1sH9Lqqand5R/WyIMm/pEklDomhEDG1wGezy1CKWWCJoRDzNSaCxYS/Bc1pAcRmU+OCZHpBQ\nft3Mnj2bzz777FedMmfOHICDdtc1+WSfA0rhVxtLmSZ0biyDtuU9ENtGw/M14VpDe41C0vmOf9ON\nx2nM6WYkAEUzYcdF0CoZYhz4dGz8L2wZDFftc5YrkH4hRNSBOmOMKfLIYgSD6MVtnIyZzcB/NsPb\n5f0DH2wCr58EMYYva1f5ar+J+dwdxlGElCJobvi99gdg4ASYtAIa1oAOTeHFfrbIDhU78fIYO8nA\nz6VU41kHFUAiyBouoRa9acSDxjz4c2FWbTjla6h3nTlP+hRYcBlcttsW1YYo5mH8zKc6ZmGZEsqw\nEA8xlr504ArMKm+fmwWD5tk3qI+vgDs7GtEAkJYHNapAfLgF23EBCbZlwYmH0ePlC8WD6p+KLAVq\nAQEgH4gDunMIhRUqxhyQfnFWLFzpoNF0MrOIozoNDW/6v6LwB4g52ZkgAjtZtt4lzgRRMBe886D2\nF0anWwRx4WYNC0mgKi0NJ6jiAHxa7l/WuzY82dxcEEFYDB1vMBVEAFGRMOha+3CKVZSwobzkdy8+\ntlDKycQZcRWxAj+Z1OQyZ4PKLg/b1rzEGc++n6FqO0eCSFiUMYlYbjfm+ISFROImAjcXGbrnL06D\nT1fDk+dA/47QwsHGK0Ajh+eHcXTB5Tq8IDoSKiKK6gOfY+cVuYEvgRnmT2lDgtFFEOuCoXXgdsOd\nuwL2Ek8NtjOHllyIu8IRwUMMqvAHSOpjzgHgL4LsBXCGYduH/SidDLggrqfR6ZnsYSebWc9iOnA+\nEYbvzRd7IcoF37SH6+o5M/kOI4y/CqsPcM09jSrGggggh8nEcRJxTl2fsydDtS6O2gABkDEFGjhr\nbxRgMWIfMQ7aJKWQTSZF1CaBqWygN6eGHKKMiYCUB+2ctDDC+LNREVG0DnCweXlwrC6zt58WNoYO\nDlJu0lnPFqZRSj7NOAs/XqIwJCzbAr7tUPVK8wEB7Jtp97Oq73D155kEsedDhNmEWUIh87DLxPPI\nYh+7qRtiyECCfT7Y0AXqHu9WSVYQ3A5naq8Hdq6DVmdWzpjCqDBWlYuip2jITYa5Ll52E0Ut8phG\nfe5wNiBZkD0Fmj7sjKd4OxQnQz2zxdN+lPE9EbQkAjPnfB8BsrC3/wNYnMMJRjlbHQzbTR5zyNgB\n9RzkHe1HZirUaeqc5zjBX+ZoXWDB8ibOBBFAGYXksxuAWQzGwoFvQ+EPtgCp0sXZoDKm2omysQ78\niVQGnikQb75qKz7ACyNIgDqG7QgGtgwLIgAmDYJCh+VPsfHw4UMwf7wznuBf5+NxNKKQACl4GUhj\nY0Fk8yxgMzcTpIhEziSAA5+BwuXgz4baDkNw+6baJnw1zzE6Pcg2gqTh43uiuco4+TyDQgTEE83j\nXEJtHMRNw4Al38PYQc7Ls8c8D6scWgAcR/jLRFHXeKheCduj3vKVSQRRdOVhYsp7WoWEQB6UbbdF\nUWJPcFDNhFSeT3SpOUfR51A8GlQM8b2MafaLoto0pCf/NJrswqGyAxCfBC+dAWnrnfG0vwBe7gfj\nh5hPeHnJsGCQvdsQxhGxHg8v05R+TioMgSAePGwGYAeP4TKdQmVB1mSIaeC4NyIZP9tNhSPMVi5B\ndpPPeVjswUUiATYZ8aRTQBQRPMLFNHHalPtohjezcnxmTu8Jo56Dd24Fv7kXGyefA69cDlM/NOcI\neCDoYAxHEY763mfe8pX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czblcTbyTCzewD/b2hKgToN5oZ1Vk3z4EQT9cO8yZG/Xbd0PD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\nYVmSe5eU872U+qCUfJtkOcidSv5NSlkhuXOlzUOksXXtxrWL+kjpDnIlLEu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lxiHS6mVm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6ddSA6WXg+TtctZ5ADs8Zll0FLClwlew9yZY0glEbeDZekv833cc8jLkDwv8vOzuSwK1jWA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lJsBMEZ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\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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline \n", "\n", "import matplotlib.pylab as plt\n", "import numpy as np\n", "from math import *\n", "\n", "x = np.arange(0,2*pi,0.2)\n", "y = np.arange(0,2*pi,0.2)\n", "\n", "# np.meshgrid, produit une matrices de coordonnées à partir de deux vecteurs. \n", "X,Y = np.meshgrid(x,y) # grille bidimensionnelle\n", "\n", "#définition du champ vectoriel\n", "U = np.sin(Y)*np.cos(Y)\n", "V = -np.cos(X)*np.sin(X)\n", "\n", "C = ( U**2. + V**2. )**.5 # calcul du module du vecteur\n", "\n", "plt.figure( figsize=(10,10) ) # taille de la figure : 10 x 10 pouces\n", "\n", "plt.quiver( X, Y, U, V , C , scale = 20.) #trace le graphyque du champ vectoriel\n", "\n", "plt.axis([0, 2*pi, 0, 2*pi])\n", "plt.axes().set_aspect(1)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "À noter que dans \"plt.quiver( X, Y, U, V , C , scale = 20.)\" le paramètre \"scale\" règle la taille d'affichage des flèches selon le souhait de l'utilisateur. Une valeure de \"scale\" plus petite produit des flèches plus larges." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Script 1 : Comprendre la déformation de type cisaillement" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Écrire un script qui effectue les calculs et actions suivantes. \n", "\n", "a) Il trace le graphique d'un champ de déformation de type cisaillement, c'est-à-dire \n", "\n", "$$ {\\bf u} = (u_x, u_y) = \\left( \\begin{array}{cc}\n", "\\partial_x u_x & \\partial_y u_x \\\\\n", "\\partial_x u_y & \\partial_y u_y \\end{array} \\right) \n", "\\left( \\begin{array}{c}\n", "x \\\\\n", "y \\end{array} \\right)= \n", "\\left( \\begin{array}{c}\n", "\\gamma y \\\\\n", "0 \\end{array} \\right)$$\n", "\n", "\n", "où $\\gamma = \\partial_y u_x$ est le taux de déformation, ici supposée constant. \n", "\n", "Ici on utilisera les paramètres suivants:\n", "$$\n", "\\gamma = 0.12; \\, x,y \\in [-h,h]; \\, h = 20.\n", "$$\n", "\n", "b) Il calcule la matrice gradient de déformation: \n", "$$ \\nabla u = \\left( \\begin{array}{cc}\n", "\\partial_x u_x & \\partial_y u_x \\\\\n", "\\partial_x u_y & \\partial_y u_y \\end{array} \\right). $$\n", "\n", "c) Il décompose cette matrice dans sa partie symétrique ($S$) et dans sa partie antisymétrique ($A$) :\n", "\n", "$$ S = \\frac{1}{2}\\left(\\nabla u + (\\nabla u )^T \\right) $$\n", "\n", "$$ A = \\frac{1}{2}\\left(\\nabla u - (\\nabla u )^T \\right). $$\n", "\n", "d) Il calcule le champ de déformation correspondant à $S$ et $A$, appellés respectivement $u_S$ et $u_A$.\n", "\n", "e) Il trace les graphiques de deux nouveaux champs de déformation, $u_S$ et $u_A$. \n", "\n", "f) Enfin, il trace le graphique de la somme de $u_S$ et $u_A$.\n", "\n", "Qu'apprenons-nous des ces quatre graphiques ?\n", "\n", "Dans les cours de mécanique des milieux continus, on entend souvent dire qu'une déformation de type cisaillement est équivalente à la somme d'une rotation (champ $A$) et d'un étirement, élongation et compression, (champ $S$). \n", "Avec ce script, vous montrerez d'une façon graphique que cette affirmation est bien vérifiée." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Tranpsosition d'une matrice avec les arrays de $numpy$" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "a = \n", "[[1 2]\n", " [3 4]]\n", "at = \n", "[[1 3]\n", " [2 4]]\n" ] } ], "source": [ "import numpy as np\n", "\n", "a = np.array([[1,2],[3,4]]) # a: matrice 2 x 2\n", "print(\"a = \")\n", "print(a)\n", "\n", "at=np.transpose(a) # transposition de la matrice a\n", "print(\"at = \")\n", "print(at)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Script 2 : Transport du vecteur vitesse" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On veut écrire un script qui met en oeuvre une relation notable de la cinématique des solides rigides: la formule du transport du vecteur vitesse entre deux points $A$ et $B$ appartenants à un même solide $S_1$ (en mouvement par rapport à un autre solide $S_0$):" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\vec{\\bf V}(B \\in S_1/S_0) = \\vec{\\bf V}(A \\in S_1/S_0) + \\vec{\\bf \\Omega}_{S_1/S_0} \\wedge \\vec{\\bf AB}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plus précisément, le script devra demander à l'utilisateur les coordonnées des points $A$ et $B$, la vitesse en $A$ ainsi que le vecteur rotation $\\vec{\\bf \\Omega}_{S_1/S_0}$ du solide $S_1$ par rapport au solide $S_0$. Il calculera le vectur vitesse en $B$ et sa norme $|\\vec{\\bf V}(B \\in S_1/S_0)|$, où $|\\vec{\\bf V}|=\\sqrt{{\\bf V}\\cdot{\\bf V}}$. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Il peut être ici utile de se rappeler de l'expression suivante du produit vectoriel entre les vecteurs $\\vec{\\bf{\\Omega}}=(\\Omega_x,\\Omega_y,\\Omega_x)$ et $\\vec{AB}=(x,y,z)$:\n", "\n", "$$\n", "\\vec{\\bf{\\Omega}} \\wedge \\vec{AB}=\n", "\\left| \\begin{array}{ccc}\n", "\\vec{i} & \\vec{j} & \\vec{k} \\\\\n", "\\Omega_x & \\Omega_y & \\Omega_z \\\\\n", "x & y & z\n", "\\end{array} \\right| = \n", "\\vec{i} \\left| \\begin{array}{cc}\n", "\\Omega_y & \\Omega_z \\\\\n", "y & z\n", "\\end{array}\n", "\\right| - \n", "\\vec{j} \\left| \\begin{array}{cc}\n", "\\Omega_x & \\Omega_z \\\\\n", "x & z\n", "\\end{array}\n", "\\right| + \n", "\\vec{k} \\left| \\begin{array}{cc}\n", "\\Omega_x & \\Omega_y \\\\\n", "x & y\n", "\\end{array}\n", "\\right|,\n", "$$\n", "\n", "où les barres verticales indiquent des déterminants et $\\vec{i}$, $\\vec{j}$, $\\vec{k}$ les vecteurs unitaires de la base d'un système de coordonnées." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "En utilisant des operations simples sur les éléments des arrays (vecteurs ou matrices), ainsi que des boucles $for$, écrivez par vous-mêmes les deux fonctions qui effectuent le produit scalaire et le produit vectoriel de deux vecteurs, même si, comme vous pouvez l'imaginer, $numpy$ possède déjà des fonctions pour cela faire, qui sont très pratiques à utiliser:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "17" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "\n", "a = np.array([1,2,3])\n", "b = np.array([0,1,5])\n", "\n", "np.dot(a,b) # produit scalaire" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 7, -5, 1])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.cross(a,b) # produit vectoriel" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vérifiez que votre script est correct en utilisant les fonctions ci-dessus." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vue la nécessité de rentrer certaines données (les coordonnées des points et les composantes des vecteurs) plusieurs fois, il pourrait être pratique de définir aussi une fonction pour la lecture de ce type de données. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Script 3 : Propagation d'une perturbation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "L'équation de convection linéaire est une modèle mathématique simple décrivant la propagation d'un champ scalaire (tel qu'une perturbation, une vague, une vibration, ou bien un champ de concentration d'une substance chimique) dans un milieu à dissipation négligeable. Elle est utilisée dans une large gamme de domaines qui vont de la météorologie à l'océanographie, à la physique et l'ingénierie. Cette équation s'écrit: \n", "\n", "$$ \\frac{\\partial u}{\\partial t} + c \\frac{ \\partial u}{\\partial x} = 0$$\n", "\n", "Si la condition initiale (entendue comme la forme de la perturbation initiale) est $u(x, t=0) = u_0 (x)$ , on peut montrer que la solution exacte de l'équation est $u (x, t) = u_0 (x-ct)$, c'est-à-dire que la perturbation se propage sans changement de forme avec une vitesse $c$.\n", "\n", "Pour la résoudre numériquement, nous pouvons discrétiser cette équation dans l'espace et dans le temps en utilisant le schéma de différences finies en avant pour la dérivée temporelle et le schéma de différences finies en arrière pour le dérivée par rapport à l'espace. Pensez à la discrétisation des coordonnées spatiales $x$ en points désignés par un indice $i$ qui varie de $0$ à $N$, et la disctérisation temporelle par intervalles de temps discrets de taille $\\Delta t$. \n", "\n", "A partir de la définition de dérivée (en supprimant tout simplement la limite), nous savons que:\n", "\n", "$$\\frac{\\partial u}{\\partial x} \\simeq \\frac{u(x+\\Delta x) - u(x)}{\\Delta x} $$\n", "\n", "Notre équation discrète, alors, est:\n", "\n", "$$\\frac{u_i^{n+1} - u_i^{n}}{\\Delta t} + c \\frac{u_i^{n+1} - u_{i-1}^{n}}{\\Delta x} = 0$$\n", "\n", "Où $n$ et $n + 1$ sont deux étapes consécutives dans le temps, tandis que $i-1$ et $i$ sont deux points voisins de la coordonnée discrétisée $x$. Si on donne les conditions initiales, la seule inconnue dans cette discrétisation est $u_i^{n+1}$. Nous pouvons résoudre pour notre inconnue pour obtenir une équation qui nous permet d'avancer dans le temps, comme suit:\n", "\n", "\n", "$$u_i^{n+1} = u_i^{n} - c \\frac{\\Delta t}{\\Delta x}(u_i^{n} - u_{i-1}^n)$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Écrire un script qui effectue les calculs et les actions suivantes :" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1) Il définit une grille unidimensionnelle de $N=81$ points régulièrement espacés dans un domaine spatial qui fait $2$ mètres de longueur, c'est-à-dire $x \\in [0,2] \\, m$. Il définit ainsi la variable $\\Delta x$ comme la distance entre deux points adjacents de la grille.\n", "\n", "2) Il met en place les conditions initiales suivantes. La condition initiale $u_0$ a la valeur $u = 2$ (en unités arbitraires, dans la suite $u.a.$) dans l'intervalle $0.5 \\ m ≤ x ≤ 1 \\ m$ et $u = 1 \\ (u.a.)$ partout ailleurs dans $[0,2] \\, m$ (c'est-à-dire une fonction chapeau). \n", "\n", "3) Il trace un graphique de la condition initiale.\n", "\n", "4) Il définit une fonction pour calculer $u$ au pas de temps futur ($n+1$) à partir de la valeur de $u$ au pas de temps présent ($n$). La valeur affectée à la variable pas de temps sera $\\Delta t = 0.25 \\ s$, et on posera la valueur $c = 1 \\ m /s$ pour la vitesse de la perturbation dans le milieu.\n", "\n", "5) Il trace sur le même graphique que celui utilisé pour la condition initiale (mais avec une autre couleur) la fonction $u$ au temps $t=6.25\\ s$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Quelques operations utiles sur les arrays de $numpy$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Le fonctionnement de la fonction $ones()$ est analogue à celui de la fonction $zeros()$ qu'on a déjà rencontré, voir l'exemple suivant: " ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.])" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "\n", "np.ones(10) # fonction ones() pour un array de 10 éléments" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Il est possible de faire des cycles implicites sur les arrays de $numpy$, comme dans l'exemple suivant. Cette opération permet de manipuler toute une partie d'un array en même temps, sans devoir recourir à une boucle explicite (de type $for$ ou $while$)." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "a = \n", "[1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n", "b = \n", "[3, 4, 5, 6, 7]\n" ] } ], "source": [ "import numpy as np\n", "\n", "a = np.array([1,10])\n", "a = [1,2,3,4,5,6,7,8,9,10]\n", "b = a[2:7]\n", "print(\"a = \")\n", "print(a)\n", "print(\"b = \")\n", "print(b)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pour copier les éléments d'un arrays dans un autre array, il est possible de travailler comme dans les exemples suivants. " ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "a = \n", "[1 2 3 4 5]\n", "b = \n", "[1 2 3 4 5]\n", "c = \n", "[1 2 3 4 5]\n" ] } ], "source": [ "import numpy as np\n", "\n", "a=np.array([1, 2, 3, 4, 5])\n", "print(\"a = \")\n", "print(a)\n", "\n", "b=a.copy() # première méthode\n", "print(\"b = \")\n", "print(b)\n", "\n", "c=np.copy(a) # seconde méthode\n", "print(\"c = \")\n", "print(c)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Script 4 (Bonus): Moments d'inertie d'une plaque d'aluminium" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La matrice d'inertie d'un solide $S$, au point $O$ dans la base de coordonnées $(\\vec{x},\\vec{y},\\vec{z})$, s'écrit : " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$[I_0(S)] = \\left( \\begin{array}{ccc} \n", "I_{Ox} & -I_{Oxy} & -I_{Ozx} \\\\\n", " -I_{Oxy} & I_{Oy} & -I_{Oyz} \\\\\n", " -I_{Ozx} & -I_{Oyz} & I_{Oz} \\\\\n", "\\end{array} \\right)_{(\\vec{x},\\vec{y},\\vec{z})} $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "avec $I_{Ox}$ , $I_{Oy}$ et $I_{Oz}$, moments d'inertie par rapport aux axes du repère $(\\vec{x},\\vec{y},\\vec{z})$:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$I_{Ox} = \\int_{P\\in S} (y^2+z^2)\\ dm$$\n", "\n", "$$I_{Oy} = \\int_{P\\in S} (z^2+x^2)\\ dm$$\n", "\n", "$$I_{Oz} = \\int_{P\\in S} (x^2+y^2)\\ dm$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "et $I_{Oxy}$ , $I_{Oyz}$ et $I_{Oyz}$ les produits d'inertie par rapport aux axes du même repère : " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$I_{Oyz} = \\int_{P\\in S} yz \\ dm$$\n", "\n", "$$I_{Ozx} = \\int_{P\\in S} zx \\ dm$$\n", "\n", "$$I_{Oxy} = \\int_{P\\in S} xy \\ dm$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Le symbole $dm$ dans les intégrales ci-dessus représente un élément infinentesimal de masse du solide et le domaine de l'intégration est pris sur tous les points $P$ du solide $S$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dans ce script, nous souhaitons calculer la matrice d'inertie $I_{O}(S)$ pour une plaque rectangulaire homogène en aluminium." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/jpeg": 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m4bKR/kQs/Z2B4lTwMKCXVsWU5o8iAEFrnvBt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\nOW6vPf8AyKxzR4ZJJJrNYwx0sUee/wDhJrOXOKKOqIIIIIw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"text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "Image(filename='fig_plaque.jpg')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La plaque, voir aussi la figure ci-dessus, mesure $5\\ m$ de longueur (direction y), $2\\ m$ de largeur (direction x) et juste un $1 \\ cm$ d'épaisseur (direction z). \n", "La densité massique de l'aluminium est $\\rho_{Al} = 2.7 \\ g / cm^{3}$. A partir de ces \n", "données on peut calculer la densité massique surfacique de la plaque ainsi que sa masse totale. \n", "\n", "Le script doit être composé par des fonctions, qui effectuent le calcul des intégrales de façon numérique (c'est-à-dire en effectuant des sommations). \n", "La valeur de la précision ($\\Delta$, mesurée en mètres), indiquant le niveau de discrétisation spatiale dans les intégrales, devra être introduite par l'utilisateur au début du script.\n", "\n", "Suggestions :\n", "1) étant donné le faible épaisseur de la plaque on peut négliger la coordonnée $z$ dans le calcul des integrales.\n", "2) Pour une convergence rapide des calculs, choisir $\\Delta > 1\\ mm$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Multiplication élément par élément des tableaux numpy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Il y a deux manières de multiplier élément par élément les arrays $numpy$: soit avec le simple operateur $*$ soit avec la fonction $np.multiply$. Cette deuxième possibilté offre plus de flexibilité. Regardez les exemples ci-dessous: " ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0. 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1. ]\n", "[ 0. 0.01 0.04 0.09 0.16 0.25 0.36 0.49 0.64 0.81 1. ]\n", "[ 0. 0.01 0.04 0.09 0.16 0.25 0.36 0.49 0.64 0.81 1. ]\n", "[ 0.09 0.16 0.25]\n", "[ 0.01 0.09 0.25 0.49 0.81]\n" ] } ], "source": [ "x=np.linspace(0,1,11)\n", "print(x)\n", "\n", "y = x*x # en utilisant le symbole de multiplication\n", "print(y)\n", "\n", "z = np.multiply(x,x)[:] # en utilisant la fonction de multiplication \n", "print(z)\n", "\n", "w = np.multiply(x,x)[3:6] # choisir uniquement les éléments entre 3 et 5 \n", "print(w)\n", "\n", "h = np.multiply(x,x)[1:10:2] # choisir uniquement les éléments paires du tableau \n", "print(h)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from IPython.core.display import HTML\n", "def css_styling():\n", " styles = open('custom.css', 'r').read()\n", " return HTML(styles)\n", "css_styling()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.10" } }, "nbformat": 4, "nbformat_minor": 0 }