{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Huygens Vectorial MTF\n", "\n", "This example demonstrates how to use the `HuygensMTF` class to calculate and visualize the MTF of an optical system. This accounts for the full vectorial nature of the electric field at the exit pupil.\n", "\n", "**Note:** Vectorial MTF calculations are automatically performed when polarization is enabled in the optical system. This is triggered by setting a polarization state on the optical system." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2026-03-24T11:45:28.118134Z", "iopub.status.busy": "2026-03-24T11:45:28.117263Z", "iopub.status.idle": "2026-03-24T11:45:31.699827Z", "shell.execute_reply": "2026-03-24T11:45:31.699320Z" } }, "outputs": [], "source": [ "from optiland.mtf import HuygensMTF\n", "from optiland.samples.objectives import TessarLens\n", "from optiland.rays import create_polarization" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2026-03-24T11:45:31.701830Z", "iopub.status.busy": "2026-03-24T11:45:31.701565Z", "iopub.status.idle": "2026-03-24T11:45:31.874468Z", "shell.execute_reply": "2026-03-24T11:45:31.874026Z" } }, "outputs": [ { "data": { "image/png": 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9JY3jIzPt0YGjRdS0sbHRJo+F6RkWiwzDMAzjwFAql2xhDNFDmkhC6dlQz1DR4HFz2s1iLnKQR5DN94XSzHtK9whBR2lm2g+y1Hlh3gvCPJsimv2hVdeKz099jreOv4WK5goxxu+WsbcgMSDR6o+B6TssFhmGYRjGwaCommlqmYyqPRQewhrm3sn3iuhhvF/8oHkJ5tfnC4G4MWej2Lc43zjcPv524YtIonUgUdLPTn2G9cfXiy7pC0deiJvH3SweG+M4sFhkGIZhGDtD/ob7SvcZu5bP1p2FDDIxIeWypMuEOJwQMqHPDSID3actuVtELSJFM31cfUTEj0yzxwWPG5BQbdY049OsT7E+Y73omqb0+W/H/VYYgDOOB4tFhmEYhhlkyAqG7GQM0UOq+dPqtcIAm4ThHRPuEKllMsge7JT3/tL9Ioq4LX8bVFqV6J7++5y/Y2HswgHXQZIA/ejkR3g3411R80jC86axNyHGJ8Zqj4GxPiwWGYZhGGYQIOsXgzikuj8SS96u3mL6yJ/S/yREIokme4ypK2woFN3HtFH3caxPLG4eezNWJqxEuFf4gG+fHuuHJz7EeyfeE4LxksRLhEiM9I60yv4ztoXFIsMwDMPYgHp1PfaW7JW6lot/QWFjIeQyOcaFjMO1ydcKcUhpZpqgYg8oFUwj86ibmVLgngpPKc2csEp0U1tDtFKK+YMTH+D9E++jVduKS5MuxY1pN1pFgDKDB4tFhmEYhrEC1BlM6WRD9PB41XGR1qVmEJo4Ql3D1KDi7WY/n0Cyn6H6Q0ozb83dimZts5gD/czsZ4SXobUmudSqakUUkaKJtC6rk1ZjTdqaATXDMPaDxSLDMAzD9FN4na0/axSHFJ0j8UV1hlTnd8moS0T00BFSrSWNJSLFTFFESodTbeQNaTeINDMdtxbVqmpRj0h1iTRW8IrRV+D61Ov7ZczNOA4sFhmGYRimD2Lo1+Jf8XP+z9hfsR+lzaUijUzTUqibl3wPyRxb7iK3964KW5rv878X3cx7SvaI5hQyuX5i5hOYHDbZqhNdaIrMOxnv4JOsT0QX92/G/AbXpV4nxgwyzg+LRYZhGIbpwSz6UPkhY/TwRPUJcX68b7wQXhQ5JOFlrfStNaKdRyqOiDQz2d40ahrF/pFAXBK3BF6uXla9v/LmcuGRSF6JJJqvTblW1GP6u/tb9X4Y++JUYvHgwYN47733cOLECVRWVuKFF17A/Pnze7zO/v378dJLLyEnJwdhYWG46aabsGLFikHbZ4ZhGMZ5ILF1quaUMMImcXig7ABUOhWC3IOEMLwm5RpR4+fZ5ilmFNujc7k7yprKhGE2RRFz63MR4RWBq5OvFs0qMb7Wt6UhY+63j78tpq7Q1BaqR6T7G2yrH2ZwcCqx2NLSglGjRmHlypV44IEHev37oqIi3HPPPbj00kvx1FNPYe/eveIwODgYM2bMGJR9ZhiGYRwbGi9H4pC6lumQUqokgCgid8fEO0T9YVJAklEYOsqMYop6bs/fLqKIZOTt6uKK80ach0emPyLseKyZZjZQ3FiMt469hS/OfCEmytwy7hZclXwVfNx8rH5fjOPgVGJx1qxZYrOUzz//HJGRkfjDH/4gTo8cORKHDx/Ghx9+yGKRYRhmmEK1fBQxNFjanKk9I85PDkwW4+uoa5msY/o759iWkFA9XnlcNKp8c/Yb4V9Ik10enf4ozo8732aijZpiSCRS5JLu43cTfifqEq2d1mYcE6cSi33l2LFjmDZtWqfzSCT+4x//MHsdtVotNgOtra3GNyhtfcFwnb5ejxkYvO72gdfdPvC69w7Z15ysPimE4e6S3ThcfljYuYR5homGFDKfptRykEdQp+uZW1N7rDlFOzdmbxQdzdl12cKC5vKky8UEFLLm6W2f+0tefR7ePPYmNuVsEinmuybdJe7XUKM5mGswXF7repPHZ+vHa+ltD2mxWFVVhcDAzp1YdLqpqQkqlQru7ueOLVq/fj3WrVtnPK1QKLBs2TKRctBoNH1+Eih1TjhKXctwgNfdPvC62wde9+6hLuV95fuwt3wv9pfvR526Dh5yD0wKmYTfp/0e6WHpGOE9omPNdLA4tTxYa67WqbGrdBe+zvsae8r2CEPvOZFzxP5PDZ0qThO2SInnNeThnax3sDV/KwKUAbhj7B1YFbdKdFS3tbahsXXw0/DD5bWuMdEapFdMA1jWxhAQG9ZisT+sWbMGV199daeFfPXVV0Uhs1Kp7Jdid6Qi6OEAr7t94HW3D7zuEo3qRuwr2ydsbah+j5o8qGYvNShVeP1Nj5yO8cHj4Sp3deg1p9umjmuKIH6d87UQuTTl5aH0h7A0bil8lb6wJdm12Xjj6BvYnLsZIZ4heDD9QVycePGAZ0Jbg+HyWlebiEMvLy+4ubnZ7L5cXS17PwxpsRgUFITq6upO59FpWvzuoooEPSmmT4xhIemF2Z8Xp+F6Q/mF7YjwutsHXnf7MBzXXdumFbV7JAxJINLkFK1eKwymqeaQ0qXU5GGr7lxrr3lVS5UQh19mf4nTNaeFiTWZelOaOcE/AbYmqzpLiEQa/0ej+P48/c+4KPEiuMltJ1T6w3B4rctMHputH6ultz2kxeLYsWOxa9euTuft2bMH48aNs9s+MQzDMP2joL5Aakop+UXMXG7QNMDH1QfpEel4aNpDov7QFjYxtoLqJn8q/Ek0jfxc+DMgAxbELMA9k+4RgncwZkafqDqB14++Lsy7SWj/ZcZfxFQXa0RgmaGDU4nF5uZmFBQUdLLGycrKgp+fH8LDw0W6uLy8HE8++aS4nCxzPv30U/zzn//EqlWrsG/fPmzbtg0vv/yyHR8FwzAMYwl1rXXYW7rX2LVc1FgEhUyBcSHjcG3qtUJQUZp5MESVtaN4ZHdD3cw0ESYlKAUPTH0AF4y8YNDMrCkq+/qR17GjcAdifGLw5MwnsTxhubDfYZiuONU7LDMzE7fddpvxNJltE8uXL8fjjz8ujLpLS0uNl0dFRQlh+OKLL+Ljjz9GaGgo/vznP7NtDsMwjAOi0WnE9BGD32FGVYboZKZu37nRc0XkcGr4VHi7ecPZqFHVCHFIUUSqSaQxeBfGXyhMs0cHjh60/aD1XXtkLXYW7RTr+szsZ7Bs5DKnE9zM4OJUr44pU6aIiSzmIMHY3XXIV5FhGIZxLKhh4WzdWZFWJoG4r3Sf8ED0V/oLI+zLki4TAjHCOwLOWle5q2iX8ETcXrAd0EOI3tvG34Y50XMGNYp3sOygEIm01vF+8fj7nL8LX0ZHmGHNOD5OJRYZhmEY54bSroaOZUotlzWXCdE0KXSSmAZCI/XIHNsW00cGC+oopjQz+SJWqarE9Jd7J98r0sxdvRxtDQlwEomUzk/0T8QL814QM62deX2ZwYfFIsMwDGPTkXQU1TJ0LVMKliDhQpEtEoc0Vo9Gxzl7feXms5uFSDxedVxERw1p5uSg5EGP2O4p3SNEIk2qGRM4Bi/PfxkLYhewSGT6BYtFhmEYxqpC5VTNKRE1JIFIYoUEI1nBUGr52pRrxSF5+Dk7ujYdfi39VQhEmtGs0+swO2o2Xpr/kkg3D7btDK09pfNJJB6uOCyaf15Z+ArmRc8b0lYzjO1hscgwDMMMiPLmcqM4pOghpV7d5e4iYnjnxDtF9HCU/6ghI1iozvKzE59hS8EWlLeUI8EvQTxO6iYmUTzYkEj8uehnIRKPVR7DuOBx+PeifwvhOlTWnLEvLBYZhmGYPtGsaRYRQ0PX8pnaM+J8qjUkE2mytJkQOgFKed+mXjkyDeoGMdWEupmpo5j8HS+Iv0AYV1MEzx6ijEQiNc6QSKT0/sTQiXh98euiKYhFImNNWCwyDMMwvaZbT1afNHYtHy4/LAyladIHCRNqTJkWMU3YwQwlyLZnT8kekWYm02p6zBQlfX7u85gSMAVBfkF2EWW0X7Q/5JOYVZOFKWFT8NaSt4StEItExhawWGQYhmHOobixuCO1XPKraODwVHiKEXr3TblPRA/Jp28oipP8+nxhd0PzmUubSsXjJLubFfErEOYVJiJ6jY2NdhHtNI6PJq5QNJcE+tvnvy1EIsPYEhaLDMMwDBrVjcJexSAQ8+rzROdsWnAarhx9pYio0eSUoTrho0nThK25W0UU8WD5QXi7emPpyKWim3l8yHi7imLya6QUOM1upnrJWZGz8NiMx0TamWEGAxaLDMMwwxASIDTyzSAOj1YcFd280d7RImpI84kpYuWn9MNQhdK5VHtJApEidiqtSnRq/23O37AodhHcFe52f45o6guJRBLv1GH91KynhGhnmMGExSLDMMwwgFKnBQ0FxjnLFEVs1DTCx80H08Kn4eFpD4voIc0JHuoUNhQKw2xKNdO86VifWNw89maRZnaEaTFUG7kpe5MQiYWNhVgQswB/n/t30UjDMPaAxSLDMMwQheoMqUHD0LVMwkghU4jI1A2pNwhxSAJkOIx8ow7ubfnbRDczCWWqvyRTcOpmpnSuI9Re0mzsL7O/xFvH3hLPFU1aeWnBS8JUm2HsCYtFhmGYIQKJDTJjFqnl4l+QUZUBPfQY6TdSGDNTenlK+BR4uXphuERTqf6QBOKW3C1o1jaLBp2nZz+N82LPg6erJxwBMi3/4vQXeOv4WyhrKhMi9l8L/yXGBDKMI8BikWEYxonFEM0h3pG7AwerDmJ/2X60aFsQoAwQtXeXj75cRA/J4mY4UdJYIjqZKc1Mqfco7ygRSV2RsALRPtFwFKhG8vPTn+PtY2+jUlWJZSOX4ZaxtyDeP97eu8YwnWCxyDAM40RUtVSJlLKhMYWmp7i5uIlU6q3jbhXikNKWw20GMAkv8h6kZhVKvVNzCqVxn5j5hJgk40jrQSnx/576L9YfX4/a1loxQ5pqJikCzDCOCItFhmEYBxdBlEqlMXokDskcmxgVMArL4paJCOJor9EI9g92iLq7wY6s0jQViiBuPrtZNOxMCp0kBOKSuCUOl24nkfhx1sd4J+Md1LfWi0gnicRY31h77xrD9AiLRYZhGAezczldc9rYtUxCkWraaOYw1Rxel3KdiB4aZhDbyyDanlBd38acjaIWMbc+V6TZr0q+SngiOqLwIg9Lg0gkQUtNNTel3eRQKXGG6QkWiwzDMA4gfihqSOKQUszVqmq4y90xOXwy7pp4lxCHif6Jwy5yaAoJZpqDTGlmWicyBycvRLL8oUkmjpRmNlCvrseHJz7Ee5nviVrSS0ZdIkSiI9jzMExfYLHIMAxjh3QkNaMYupaz67IhgwzJQcm4OPFiEUGcEDoBbnI3DGcoakod3SQQvz37rRBfNE3l0emPio5h8oh0VMui90+8jw8yP4C6TY3Lki7DmtQ1YlQgwzgjLBYZhmEGYabvieoTQhhSepnsbWg6R4RXhIga0txhio4FuAfYe1cdgsqWSmFKTbWINAM51CMUq5NWY1XiKoduAqlR1Ygo4ocnPxTPOXWjUxd2iGeIvXeNYQYEi0WGYRgbQKbKhsjhntI9ItpEDRc0Qu+BKQ8IkRjnGzesU8tdPSJ3FO4QdYg7i3ZCLpNjYexC3DflPsyImOHQxuHUof5O5jv4+OTH4vSVY67E9SnXI8gjyN67xjBWgcUiwzCMFWhQN4jJIIa6Q5rlS3V0Y4PH4jdjfiMEz9iQsaLWjungRNUJkWamGchkI0Pr9VD6Q1g6cqnDz6WmCOh/Mv6DT7M+Fc/11clXiwYkjhAz56DTAC21QEtN91tTJVCXD9QVAfUVAK6DI8FikWEYph9QGvlY5TFj9JCO6/Q6MVuZag7/MOkPmBoxFb5uvvbeVYeDGni+zvlaRBGzarIQ5B4kOoSpmzkxIBGOTllzGd448gY25G4Q4v/61Otxbcq1Di9uGSugUZkXfN1u7QJR3dD97cnkACUX2nQmZyqk8xwIFosMwzAWNlvkN+QbLW32le4TNijUZEFeh49Mf0RED9kOpXs0bRr8XPizEIg/Ff4kvgwXxCzAnRPvxKyoWVC4KJxiMgyN5Pvf6f+JbnXqbL465Wr+QeBs6PWAuqlvYq+lfdO2dH+bSl/Awx/wCJA2z0DAPxZo0wLqZum6jeVAXQGgaZKu4+IGyBWApplUIxCWCiSvABIvAN76Ao6E4787GYZh7ATVGRqnpRT/guKmYihkCowPHS8aFyiCmBKU4tD1dPbmVM0pkWamSCJFFJMDk3H/1Ptx4cgL4e/uD2epP33z2JvicVDdKTUkrYxeibCAMK45tSdtbUBrXQ/iroe0b5vm3Nsj+yV3E8FHm28kEJbS+byum5s3UFcIlB0HyjOBsgyg+BBQk9t+u3IgMF4SkAo3oOYs0NoAuHkCoxYDSUuBhIXS5YRaDUeDxSLDMEw7ap1aTAQxdC1nVmVCDz3i/eKxIHaBEIdTwqbA09XT3rvq0NSqakUNIokr6gIPdA8UI+0ozTw6cDSchYL6Arx5/E1sOLMBvkpfEQW9YvQV8FR4DjsjdJui0wKqHoSdyebZWAmo66XTqjpA33bu7VGU2iOws6AjsWY83UUQGjaKDrr04tfZXC2JwqIDkiikrfxER8TRK1SKEI5ZDngGSdHEkqNAwa9A1WkgNBWYerMkEKOmSJFFJ8A59pJhGMZGqeXs2mxhiE3i8EDZAWGeTOKGrGxIGFDXMk0IYXqv4aQ1JIG4o2CHWNs50XNEFG5O1By4yp2nsSe3Lhfrjq0T0VB/pT/umXyPsO4x/Eigx8Z0g7a1j/V87dG/1vrub0/h0UXQ+UMXPAYuvqG9RPq8gIFGfLVqoPJUuyA83hExbCiRLpcrgdAxQFgaMPYySSAGJgCVWcCprcDJTVJkUeEOjJwHXPAcMOp8wD8GzgiLRYYxoaWlBSqVqte/c3Nzg5eXY82dZSzvYDWklmnecnlLOdxc3DApbJIQNlR3SNEvR5wI4oiQ2KY6RBq/R2tLM6vvmXSPiCQ6m3VMTm0O3jj2hjAAp6ab+6fcLwy13ekLf7hAQphq6PpTzydq77qBzNO7RvQCRvYs+OhvXT3O2bfWxka4ensPXAyaPl4SgAZRWNYuCkn0Ub0h4RcricEJV0uHBmFIUcH6EuD0FmDPG0DODqke0S8GGLUESDofiJsjpZudHBaLDNMORQveeecdlJWV9fq3CoUCt9xyC0JC2GzX0VFpVThYdtA4To+6b4mkgCRcEH+BEIckFIeVILBCLeeW3C0iikhd4NQFTDWIZJpNNYnOVsdHs7jfOPqGeEyhnqH4U/qfxGg+JUWPnLqez5Cu7S7F20PaV9ddzZzs3PStdxgQMqZ30ecoUWVqaik/2S4KKX1MwvC49JgNopbqE2OnAVNvlKKGocmAu1/ndS0+CPz4d+DUZqD0qFTrGJ0OzL1fEoihKdYTsw4Ci0WGaef48eNCKM6aNQve9MvVDBR5/PHHH1FXV8di0QFp07eJpgpD1zIJRRq5FuIRIlLKN6TdILqXgz2C7b2rTgVNJKGILEURv8//XtgEURfzi/NfxLzoeU45mjCrOguvH30d3+V9J6bp/Hn6n4WFj0M9FlHP17WJw4KNBKLZer4ugi4gDoiceK7I61TP59d7PZ+jQIKuNrejptAQMazOobCAJO4oMkgRwum/74gWUvdydyJPVQdk/yCll09vBZorpUaYxPOAmXcBiYs6mlOGKCwWGUZ8trRhx44diI6OxqhRo3r826amdtsDxmEoayoz1h3uKdkjum49FB6YHDZZ1JtR9DDBP8HpIl6OUr9HY/c2ZG9AeXO5aPa5Y+IdWB6/3GnH2NG86dePvI7tBdsR5R2FJ2Y+gRXxK2xbVynq+Wr7Uc9X1/3tUdSTBIqpoAvtLcrX3rk7lN4HtE6G1LExYniiw56GmkxICFLEzyAKKRraNcXdNTVdeVpKL5/aAuT/IqWkKWI48RqpOSV6qtM0p1iD4fNIGaYHjh07hurqahFVZByfZk0z9pftN0YPc+pyIINM2NhQ+pC6lseHjHesCJET0ahuxObczSKKSHOsyUvygpEXiG7mtOA0pxXdxyqOYe3RtcLnMdYnFk/NekqUIlg8VUfU87UALdVwqSoCKnsTgCaXGcRLV0i8nVPPN6J30deT2BmqE1AqT0ORdwCoywbK26OG9UXS5fReDxktdRunrGoXhmmAd6hl4pjEfN4uSRzSRvY2ojllLrD0b5LYpMjjMIXFIjPsoajiTz/9hJiYGAQFWV6Qzx2Rg5sCJRsbQ/SQ7G2o+zbSK1Kklm+fcDumh093Gt8+R03f07hCqkP8Pu97kbqntX1+7vPCNsiZ6/cOlx8WInFX0S6M9BuJZ2c/i6URM6Egr7vSDMuaN4z1fK1iuEbn9jYZ4O7bpZ4vVBIvPQk+er2S7x7TAX2ukt2MIUpo2CqzINOpQRJZ7xsticFxl0uCkI4HJfa9NrKhVEorkzjM3i4JerrtpCXAqL9JQnEINKdYAxaLzLAnIyNDRBVnzpxp0d9Tcwuh0XRj6spYjcKGQmNTCqWW69X1whA5PTwdf5z6RxE9pOiQs0a5HMlL0JBmLmkqQZxvHG4df6tIy4Z5hcGhoRFpPdTzHajLxtqGE/hVV4dEvQLPtyiwuCwD8iPXAXrT8WroME/uKugomhQxvtN5eg9/NOuV8AyKgkyIPqrnY2P2PkNR2oqTXWoLM4DmKulyVy+p4SRqEjDpOujDUtDoNQLewdH9S6WL5pRD7enlzUDJkfbmlKnA3PskaxsSnvyZcg4sFplhDUUHd+7ciaioKAQHW9bw4Ooq/Xq1xGKHsRwSg/tK9hkFIo3Wk8vkGBs8FlcnXy2iXJQCtThlyPSYxqfOXxKJ5C3p7eqN8+POF80dlL4fdAFOnnYWmjJ3buI4t56P4v37PL2xNsAf+9xckKR3xYuusVjkOQIuEb2kdpU+lgkFvR5tZMptTQuXoR4trM07t7awOru9CUcmmWaTUEu/xaThJK5zU42IOvbRDF1VLzWnUASRtqYKSdxTc8qMO6TDId6cYg1YLDLDmjNnzqC8vBxLly61+DouLi4iutja2mrTfRsOs4KphswgDo9XHhcdthQtJGF4b+S9IopI9XKMddLMJAwpzUzdv2QpRMbjz855FotiF4mGoAEj6vn62MBBh2ozAoAiS127c8nDrhuhp3f3xy+NuXj99Cc4WHFEWPi8PP5WMX+aPTMHERLw1GDSKY2cCagbpMvp+aLUMXUQh97Zbk8zRjLSthaVZ6TIIUUQ83ZLzSkhycCEq9qbU9KHVXOKNeDVYoY1v/zyi4gohoX1Ld1GptzOLha/+OIL0dhjDUhAU5Q2ICAANTU1Zus5NTINSj1KUeRZhBKPEmhdtPB18xWihWxLSCRSdypj3bnGlGKmZhU6HuMTg5vSbsLKhJWI8I449wr03JF466shM21aM9F2iuSYztz1DAaCRvXuz6dQWpYdKNqJtYf+hqMVR5EWlIZXF76KudFzuUTB1pY+FBk0rSukrS6/w6IneLQUIRx9QUe00CfC+tFYY3MKRQ+3SBY5VGNraE4hg2xqGmKGj1j89NNP8d5776GqqkpYnDzwwANIS0vr9m83btyIJ5544pwv+d27dw/S3jKODHkqnj17FnPn9v1LhVLRzi4Wc3NzRfqdGnsGyq+//orY2FixabXtUw/aqdfVI7M1E8dVx3Gq9RR00CFKEYXxjeOR7J6M+6+4H3Ku97J6mvn7vO/w5anPsbfiEDzl7jg/aDxWRS7GJBcfyGprgZ3/Mi8EDZMrTKHoXFdB5xcNhI/tJbXra5MoDonEHwt/xNoja4UVzriQcfi/8/4PsyJnsUi0No0VnUfeieMnRbOPgAQgCcG0i6VuZDoenGTb5h3T5hSanEI/cHwipa7l859pb07hKVvDUixu3boVL730Eh566CEhED/66CPceeed+PzzzxEY2H3NAY1ko8sN8IcIY2DPnj3i9REXF9fn6w4FsUhQ9/fo0aOtIhbJoJyEJ61NcUsxfq38VWwn608KW5tU/1TcGHMjpgdNR5hHGE6fPo1du3ahsaERfn4mExKYcy1DevHnc28oh17dgEOtFfhKX48trm1ocpFhaosKTzc24bymZnieOSXdHtV8dvXno07S7oyYO/nz+TiEKTOl07fnbxdm2ieqT2BS6CS8sfgNYbTOn+8DRKOSxtx1jRY2lUuXU6kCTTQJHweMv0pqPiFx6DUIYx3bm1PcMjYCuduBksNSrSM1p8z+Q7uPYhrXkNoIpxKLH3zwAS666CKsXLlSnCbRSM0JGzZswA033NDtdejDw9LGBWZ4zYCmFOzYsWNFCrWvkCBSq7sbiTU80UOPQk0h9uXtw96avShoLoDSRYmJgRNxz5h7MCVwCvzcOgvCESNGCJFJz8Ps2bMxLL6I+1XP117r1RVXTyHiSj198ZWbHBsVKuS7qREp98R1vklYGTIF0X5x3fjzeTrlFyqJxG1524RIpAk9VM/69vlvY0rYFBaJfYVKDeoKTaKEhnnIpzu6xGmqC4mvKWukSCGJwsCRg9v1Tc0pOduNk1NkTeVwo0kyVO84/XdSc8pgCFXGecQi2ZScPHkSa9asMZ5HX/Lp6ek4evRoj6Jg+fLlImVBEZTf//73SEhIMPv3JABMRYAhekTX76uvnuE67Mc3uFiy7keOHBGXUylDf54fQ4PLUHhuB/IYylXl+K74O3wT9Q2a65rh3eSN9KB0XDvyWkwMmAh3ubvZ+yHBTZFIEotOY4YuTJmbLJ+xa3K5TNvS/U1SmtY0okdRPxpF1kOkT+Xqjh9Kdos6RBrBR+bji0cswWOJFwnxZGjoMPvMOtHrljw2t+ZtFbObs+uyxTSe9eevF9N5DAz2+9CpPtvJS1I0nLRHCdvNrGU0N9rw+iMxGDcHmHZbx4QT6gzvDls/5ipqTtkipZjzdkPWpoGe9mf8ldCPWoLGgFR4+/p3/OBxhuegj5i+rmz9OrP0tp1GLNbW1kKn052TbqbTVHvVHRS5ePTRR4UgaGxsxPvvv48bb7xR1D2aa2hYv3491q1b10kULFu2TFy/r7569CSQWCX4l+/g0du60+WnTp3CmDFjxPPbH79ESpvS65FeF84KPQalUtnnx09dzPtr9mNb2TYcrj0MV5kr4tvisSpuFSaETIDStb0poU36255ITEzEoUOHUFhYCH//QTTUJruO1gbIVLU9byT0up7XzWPSy1ygp4iHh7/oyhWbZyj0gUkdpzttkjef+KK20EiYXrcZNRn4JusjbCvchkZNI8YHjcefJv5JpPaDfYLF6725qRlDATJdp8f5n5P/QX5jPqaHTccfJ/wRY4PGisvt+d5zyM/2Nh1ktXmQV2bCpeIEXCpPQl5xEi51eeJivUyOtsAEtAUno23qPOhCksVxfXcNJ/QS1wzS+urUkBfuhSJnGxRnv4dLzVno5UroYmZAO/8xaOMXQe8X23ndGxsdZ91tgOlnMo2XtWUWy9JyKqcRi/1h3LhxYjMwfvx4XHbZZfjf//6H22+/vdvrUOTy6quv7rSQr776Kry9vcUXa38UO113KL+wHY3e1j0/P1/8wFi8eLHRM7E/b2b6AUP34azU1dWJH1uWrkFhcyG+K/kOP5T9gFpNLUb7jMYdSXegYmcFfJQ+mBU7S6wLCXBLX+/0o42+9LOzszFv3ry+PwhqxOgtsneOf1+7ABT+bp3RUz1f147ckMQuhszddO0qfSFrj+ZZ+51O85g35WwSnohn684izDMMvxnzGzF6L9Y3VrzeaQ2HyucM/cD4JucbrDu2TnhtUlfzs3OfFX6bjoLdP9vJtNq0ppDSyOUnjNFrvXeYNMc4ZQX0hi7k4CS4KNxh/6pTUvplwOnvpM7l7B2QqRugp+aUUUugP/9pYOQ8yN28QAlvpSOt+yBhKg6prp4ac22FpZ//TiMWKeogl8vFpA1T6LSlI9roS4xS0QUFBWb/hp4U0yfGsJD0wuzPi9NwvaH8wnZEelr3w4cPizdgREREv58XQ83iUHhee3oMKp0Kuyt2Y2vJVhyvOw4fhQ8WhC3AkogliPOOQ2VlJTY1b8LocaM7rbml60LrSB3ZJzOOYv7kMX2v6WtPpZ0DFeJ3FXT05dnLvF0ZdU86wHPaqmvFjoIdwhORxhuSETl5If4p/U+YFj7tnO7xofA5o9FphMUPiUSy+FkYsxDPz3tezPt2RAZlzcmsvPJUZyNrEoYNJdLlZA9DHoVUWzj2MmNtocw7BA4FNadQQ4roXt4sTVERzSlTgNl3i8kpMuqqt2Ath8JrvTdMH5utH6ult+00YpG+VChtuHfvXsyfP98403ffvn24/PLLLboNShuSCbPT1EcxVociX5mZmUhOTh7QG5B+eAzlBpechhxsKdmCHWU70KRrwjj/cXgg+QHMCJ4h6uMMHDx4UNQOx8fHW3S7VCflWncWrrU5cK3NhlttDlZXnYK7qhz4x6PnXoE6cLvW7gWM7N2fz9UKBtODDEVNaP71F2e+wLdnvxUTbWiaCvlP0nQV8qMciqh1aiGK3zz2phg3uHjEYvxzwT8xOnDgXfpOA0XMSACaikLRcHKqw8aIxg5Sk8mEq9s9C9OkqSeOai5NtZI0b5mihxRFpGiiaE5ZKNVGiuYUbj51Fhz0VdY9lB5+/PHHkZKSgtTUVHz44YeifmHFihXi8sceewyhoaG44447xGmqPaRu1+joaJGmeffdd1FaWio6qh2NxzdkoEXdzaxSpl+duVqNFgpXhbBsMaW6phqFjWHQqkPQeLYekb5uiPB1haervM8/XobabOhmbTN+LP8RW4q34EzjGQS4BeCCqAtEFDHC41zzZvqxRl6VZD1E0XjTQmkXVY0Qg5IozIFrnXSoaJYsOPSQQesTDY1/PFQJy7DtZBnix05HyuRZJubN/hbX8zkzlS2V+DrnayGYztSeQahHKFYnrcbKxJWI97NMhDsjFD39/NTneOv4W6horsDSuKV4bdFrGBUwCkMadZPkUWgqCqnphKLlhh9IJAZjpwNTb2qfcJIsGZs7OlXZ7c0pW4DcXQDV95Ix97jLpckpMdOGxXt6KOJUYnHJkiViOsTatWuFKXdSUhJeeeUVYxqahKCpDUp9fT2eeuop8be+vr4iMvnWW29ZHAUZTLIrGtHY2o0RLtN39FIHpUjVdQkeVlbWocUlAB8crYNKW2s8P8BDjghfN0QJ8egmRKRhC/JSwKVLFNIQWSSB5MzpEBHNqssUaeafy38W9WKTgybj0bhHhd1NT2bZOdnZ8NDWYZJ/PXwyP4SiNhuKmmwo685C3lpjLKrX+sZC7R+PxlEXQeM3Ehr/BGj94qBXdHRKlzd8j/JqICUmHcMBSrmSoTR1M/9c9LPoXl4YuxD3Tr5XTLFR0PSLIUqLtkWIxLePv40qVRUuGHkBfjvut0NPGFPqtTbXpLbQMA/5rPQhRTWu5G9JwjD+9ybzkGMdohTC4jR5/i8dApE6mSnzQJ3VVHtIk1PIbodxepzuE+mKK64QW3e88cYbnU7fd999YnMG3rtpmr13YchgruCfotAvvPACpsycItLQ1S1alNRrUFyvlrY66fBQcRMqmzqEu5tchnAfEo6uiPRzQ6SPG2TNMtS2uUOt1kCptOGUAht2mp5QnsDGxo2oOFSBMPcwrI5djfMizkOwsvvUkIuqGm4VGVBWHodb5XGEFB3EIjQBB6TGEI1fHFp941AfOQ3agARo/OKh8R1hUSSBLHRo9GJzczM8PT0xVDlZfVJEECmSWNtaK0bTUR3ispHL4EcpuiE+Vea/p/6L9cfXi8e+PH65EIkj6DXi7FBUkOYfd6otPCHZLBGeQVKEkKJrBlFIdjBOWC6BxnIprUy1h5RmJh9Q6qgmYbj4SdGcAqXzNv4xQ0QsMkx/ycrKEqlTSpuSiAzydBVbWvi54kSlaUNpQ7uINBGUBwubsKm+BmodpVzTsOPvOzA9Psi4jQr1houLZVGBAwcOCMuY/kKWCrfddlsnCxHq2Ke6XGoaMXu/ZQfw9J6nccbzDFJcUnB32t0YFzDO6M1HyDTNcKvKhLKChCEJxGNQNBaLy3RKP7QGp2E/xsIleiJGpl8ArU+UiCJSap5S9H2NtlKpCIl86oqm0pGhRLWqWnT3kkjMqslCkHsQLkq8SMxmHvIpV3qdaprw8cmP8U7GO2hQN4j0+s1jbxYzqp1ymg4ZV5dlwK3wEFAjHUd9kXQ5RdVCaB5yGpCyqqO20DvUeaKF3UVIS49IxtiiOeWg1JwSNRmYdTeQtESa6OKsj4+xCBaLzLDhxIkToqbVksiVu6sL4gLdxdaVNkrd5hTiqx37MGLCQhwubsJTX2dCo9MjwNMV00aScAzE9IQgJIX6dCseSbRu2rRJHKd96i8zZswQYzAN3HzzzWaFItXGvXTgJdFxOi54HC5TXYbRHqMxwS8VblUnRbRQRA0rjosaQ7KWaVO4Qx2UjOYR56E1OBXqkLHQekfhxMmT2FO8B8vGLYPWr92zdADGsfScBAQECKE7FMQipfN3Fu4UdjeUbibmR8/HnRPvxMyomaK7eahDwvCjkx/h3cx3hWC8OPFi3DT2JkR5m/8h4zDQa5kaMkSUMNOk4SRL+ALSO9qVrF6og3fcFR3RQkorD4WaPGpOoXnLBnNs0ZziCyQsBNJvkZpTHK3jmrEpLBaZYQHVF1LUauLEiQO+LapfDPF2Q5S8HrfMiBQzkak56WB+DfbkVOHXnGo8/c0Jo3hMHxlojDyODpPEI9XWkkgkS6iZM2cOyFj7559/Fil2ajL505/+dM7fUP3mp6c+xSsHXxH3+/i0R3GxWygyTr6M8Jr/IfhUEWQ6tYgMqgNGoTV0AhpSrxHRQ2pAQTf1czTXmaKYfRG6FDnUtulFVLZVS4dtnQ5bfGKw40QJUmbUI9LfAz7uzvele7rmtIggki8iRRSTA5Nx/5T7RV1eABlxDwPqWuvw4YkP8d6J96DSqnDpqEuFSAz3CodDommRUsblXdLI5GVIuHpJM5CjJwOTrxcWTPrQFDTpFJLP6lCJqFFzirC22QLk7RKimLwZMXa1lD6nhpuhIISZfsFikRkWkFAk66TYWGkSwEChBhfC0BHt4SbHrMRgsREkHg/l1+DXdvH47DcnhSjyF5FHSTzqfSNQVdWevuon9GU1Z84cEV285ZZbzokqHqk4gqd/fVrUyl0SOA73NLfB/4v7hD9hotwXxcpRkI9fjdaQsdAEjhZNJ7o2PZo1bWhs1aGxWoPGVhWa1O2n1W1oaNVif7k3vHyjkbu9qF38tUGtbRPpew0NR9G1ifPpPOPlOj3aegw+Uu3nCHz18s/SY1MqEOHnjgh/D0T6uSPczx2Rfh6I8HdHhJ8HIv3d4emmcAhx9M1ZKc1M1jcBygBcGH+hSDUPJ/uXWlWtEIgkFCmySh3dN6TegDCv7qdl2SWdWpffLggzTRpOsqWJPhQvJCsaihCm39oeLUwB/ONotmw3kUfnnd5kTKkbmlNoqzrd3pwyG1j8Vym9TOvBMCwWmeECjfejKBx1xVsDMognzNnnkHicmRgsNkKlkSKPJBxJQEri0RUKxOCD97Pg56GAr1IOPw85/N0V8HOXw6/90Ndw3EMOP6UCCnnnSMbs2bPFrGtDVJEieKUNFfjnrr/g6/KdGK2T4/2yEow9m48K3zTsCvsNjntOx9Y8GepUOnicCkLTcRKCeUIQklA0h1Ihg4cc0Gt9EKD1QHOdWjQAuSlc4Okmh6/SBR5uCrgpZFDKXcRlSkXnQ/pbZfuh6fkKWRs2bNiAtCmzEBAdj5LaFpTUqVBc24LMknpsO1GOysbOo6l83RUiCmkQlRG+HeJSnPZzh3sfbZEsbRAis2zqZt5esB1t+jbMiZ6DW8bdgrlRc+E6jCIwFEF9N+NdkXIm26rLky7HDWk3INjDjh56qroOQWiMGGZKzRgEWTNRLWHiIiDsro6GEzJlH8o0VgBnTJpTyNTeO1wShuc9DsTP5+YUpltYLDJDHhJPVAtHs8KthSGyqNVaZndEgmVmQrDYDOLxmz0n8NHmnRgRkwKVXiGEW1mDBqcqVKhXaVGv0kH00XTB283FKCTbVBS1G42UG57BLe/sQaruOBTuP+DHoAoy58B9Nc0IrB2F/+jOx49t49GsC4SfyhV+Hq7Q6uoha9MKeyAvpQu83eTwVsrF7dNxL3G8/bRSDi83F7jKXUQUk/wVr7riKqNoNqxzfxtcDCSE+cGjqRgrx8/u9vJWrQ5lda0oqWsXknRYqxKnjxTUYnOdCtVNnc3SqRTAEImk6KThuDj080CYnxJKhWWCMqc2B19mf4lN2ZtQ0VKBRP9E3D3pbhFJtKs4sgNUA0si8eOsj8VpGkF4Xcp1CPKwbKKWVdBppcig0bOwXRhSBJGgEgry+SMxOPoCSSBStLC7echDEYqAlhzpmJxSRM0pAKImATPvlDqYI8YPj7VgBgSLRWbIU15eLjqGe+oQHmgauq+QeDx/4kgc+/5zzB+RjLi4qG4baSj9W9eiRa1KJwQkCUo63dTSAlVzPaprT2OGMhv+1Xugrs/FxvHBOOauxHxZFC6NWQOfBQvh5+WFGR6ueNZD0UkUbd68GVlZxbhoUd+8DWnEH41KNBWK1oJmRZOwN+dfSfsfG+QpNnOQECchWWIiJIvrVCitU2F/bg1K6kpQ19L5eQv2dhPiUUQoTaKSFLX09tDgcPV2bMrZiKOVR4XFDdUgrkpchZTAFKf22ewPZKC9PmM9/pv1X+HDeU3yNbg25Vrb12RSVMx05J2IGp4EdO3RZhKAJArTLm4XhdRwMgpQOJ+11YBobZSaU8j3kDqYG0vbm1MWAFNvBhIXc3MK02dYLDJDF6rJqTqDup1fYobsMEZVAi7VMshE1277JiJ3be2dvHrIxGnDZfr2y6TzTK/XptNikT4TgYcqgOJwKYIhkwMuhq3LaXFcYXJcDi8XOca5FcAjZzO81aGQaZrgom6UDg0bndbSIZ3uuIwiggIXoFbvjj8FRWCbPgDjQkbjnVlPYFLYpF6XhxpiLI2MGiAfRGoWIqsbW0Bi8ejRo32a+d6dEB8Z7CU2czSrtSiulQSkaXSSROYvOVUoqW1Gs+IkXP0OQOGTAch0kKuSEYrfItElHZpyH+xu9cBZ/xKjyAz1UUIh71LbNoQobSoVHomfnfoMSrlSpJpJKFrdH1KjkrqOjWbW7VtTecfcb5poQnYt46/q6ET2DMSwpTpHEoZicspOqTmFhDLNi046H4iZPvxEM2NVWCwyzg+JOPI5oxQUjc0qy4Rn6TFpmkCbBkkARspcIT/ya3u6RSYOaeSc8bQ4Tgcu0vnGy6TzTE9L13NBCurhVVAIlCqANp00w1XffkjF9MbTOumwGy6m//KkrU3hiTY3b+hdvdDWvuldvaFzDzj3fDdvZBdV4vOKw/g1shLVp2twbdJ1eOSiRyye/kFisa+RUfKqJCIjI2ELqLOcyM/P77dYtARqjEkM9RabKbl1ucJaiLay5jJEe8VhStCNiHWbg4ZmT5S2C8qfTlWIw2aTEZ1yF5kQjFJ0sqOO0rR+MsRbabEPp6NQ0lgiRvL97/T/4KHwEEbaVyVfNfBZ1fS+rSvsYmSdKfkYGt4vNAechOCUNR2ehQHUcGL9qLbzNaf8KqWWKcVMM6TJjkk0pzwppZeDEuy9l8wQgsUi41xQ4TrZXBhTUe0Ckc43zFUNTYYuYhJcpqxBW0gK/vnxd0gcOxXjxo2z6q7QrPGlC5Zi6tSpln0xUselEJLt4rFNi62bv0VOfiGWrVrdLkrNo9KpkNOYgzMNZ3Cm4RQOag+iNqgWyyKXYVHUIgS6B/ZpTBzVFvY1slhQUAAPDw/4+PjAFpCAJTshMiu3hs2RJTSqG7Eld4vwRDxUfgg+rj5iogp1M6cFp5lNM1OqvF5MAZIikx0RSilKSU051JxDneAGFC4yhPm6t9dPtgtJEzFJIjPIy80hBGVhQyHePPamWBdvV2/8bsLvcOXoK+Ht5t0/3z7xvjWZh0zv3db29y3NPQ5NlcbETbutfR7yGEBpm9eZU9JU2XlyCq2dd5gkDBc91t6cwuvF2AYWi4xjT0owdjK2i8O6AulySuUGjxKeZ1JHY6p0nOaqirKdRrh6e6OkuBj1GjnCw63v8UY1exaLLRIchrS0Cb4R8ajMyBHRSpkZYXi64TSyG7JR2FyINrTBVeaKOK84BDUH4ebkm3H93Ouxb9++fgkzshMig3DTmeo90dDQIOyHbFmnR9HFoqKBWQr1BnUv7yvdJ+xutuVtQ6uuFTMjZ+K5uc+JGc2UZu0NWgM/T1exjQn3NSsoa5s1nVLdhvpJEpLUlEPHyVbJgJvcRTTiSFZBJtFJPw/pPH8P0bRjq+cgvz4f646tw8bsjSLFfNfEu3DF6Cvg6WrBGEb6IUSzjzuJwuNAbZ7J+zZJajIZtbijttA3ipssuvuBWXq0Y3JK0QGpDCZyEjDj9+2TU8afa+vDMDaAxSLjOClko80FpaJOiRSygCYliML1S6ToA33R0BeOwswXuskkEUpnkqizRUqzT2LRDLRfrW2tOFh6EIW6QiEOuwrDkd4jkeafhotiLkKidyJivWJRXlqOrce3Ymnq0n7fN0UWCXoMJBx7g5qEKG1tC+HddU2oycXQWW1NChoKpDTzmQ0obioWc4lvHX+rmFNsC9NoEnQBXm5iS43svravrU2P6ma1SXSyBSX1KnG6qLYF+3JrUFavEobmphOGhHgkqyA/dwR5uiAuxK/Dg9LPA74eij4JyrN1Z7Hu6Dp8ffZrEaW+d/K9WD16tUg9d0tTVXvZh2ka+SSgbZEup6gXvW+TV3SIQhqFZ+59ywDqJpPJKd8BDcVStoSaU6bcKAlsGh3IMIMMi0XGDink9hFaBmFoSEXRhyIJwZh0qUaJIoV0mjzR+gmlTYODg23SudtfsVjVUiXSnTSjeW/xXpyOPY0vs740Kwy7Sy2XlpaKdPBARgUahBhFFy01NicGcp+WQM8XReSoi90aHezNmmZszdsqPBH3l+2Hl6sXlsYtFWnm8SHj7d7NTCnnYG+l2MZGmxeU5DFJUUmD/6QhSplb1YRdZ5pR0VjQyfScfC+NRuZdzc3b0940JSe7NhtvHH0Dm3M3I9g9GH+c+kcxdcVd0T7qUquWfryZikLaqMuWoL8jj0IShDTtQ0T5U7nj1lIoEmuYnCKaU1qlsYGpF0vNKbEzuDmFsTssFhnrQ18uNA3ApOGkUwqZxA916pEQpBmjpilkK39xUzrTWlNbuhOLvQktEj2FjYU4WHYQB8sPisPc+lxxGc3InRgyET45Ppg3eh7mpsy1uOaQfA7JN3IgQsc0smgJxcXFIgJpLWNzc1DNIj2ukpKSfotFWncShiQQSSjS2Ln0iHQ8O+dZLIpdZD5a5qCQoAz1dRfbhBj/cx4rRX3dPTxR2aQWXd4kJKVUt3T8VHkjfjpdgfKGVmPg3UVZCq/Q7YDXUbgiACnK6zDfcxJickpQkvUCgpvOwKv2JFzovWzovqf3KInCSde2/5hLk6Z8yPmrpE8lNgV7pNQypZip81s0p8ySjLFJIHJzCuNg8DucGXg3o6GusLsUMtUi0ZeKMYWcKtUaDkIqiurr6uvrRaTKFlCdX1ehRbVwNB/YIAxpK2+RLD/IwHlaxDTcPv52YW1jSHu+fPBl+Kp8LRaKJFDJ63D8+PED2v++isW6ujpRT2jrSBx5WNK0HRLEfaW4sVg0ZFCamUR6tHc0bky7ESsTViLS2zYd3I4C2fZIXdgkhLuPxmt0bdhdcBTrj63FgepdCII3LlSNwLKaWoxofRE+emmEXYPeAyf1MTjZFos8xWxUeydCFTAa/oHB7dFJD0S6uyNC5oGINhnch3lzcq9Qyt4wOeXMD1I2xStUqjtc+GcpzczNKYwDw2KRsYyWWimFbIgUCnF4oiOFTKav5H1mSCGLaGHygFLIA4UiU4StxCJFFlUalTGlTMLwcPlhNGgahPBLDUrFhQkXYnLoZEwInWDWj44iaRQZspSamhohGGNiYqxiLG5JGpqaYMhf0WBtY2toTSgNbQkt2hbRpEJRxD2le0TU8Py48/HXhL9icthku6eZ7QpZONWcFT/kMvJ/wtry3djRVo8YjQZP1tZjeVMhXCnlmUA/5FaKH3StwcmoQSh09Sr41KkQWNeC1loV6g1Tco73PCVHCFZx2L8pOUOnOeVYuzH2FqBwf3tzykRgxu/aJ6dM4OYUZmiJxRdffLHPN3zTTTeJ6ADjxClk04aT+sIuKeRU6VexoeHEL8bhuhmprk+pVMLLa+DzXjVtGpS2lKKguQBFzUWiAeWY5zFhHq39VisEyoSQCbgu9TohUMhyxdJUJwkjSvFaSkVFhYhqDrTRpC9ike6TBKMtvQ9NCQgIwIkTJ8xOcqHzD1ccFgKRau2aNE2YEjYFT816CotHLLasc3eo0VLT8X41NpycwBEXDV7398PPnh4YAQWe9p2AC0YsgSI8Tao1dO38OqWYPxVuxPZgam6cktOlfpJO78utFuf1NCWHaial0Ysd9ZNkKUTjJJ27OeXHjskpojnFW4oarnxFEog+YfbeS4axnVj86KOPMHbsWIs7Ew8fPozLL7+cxaIjY2qIa1pXKFLI7WlJ32hJCNIUAENdoehCdo5ia0pjkuiwNLIkfPM09Z0EYWFLoTgsaykT3cmEp9wT0Z7RCNAHYJJyEm447waMDhzdJ49DU+h9cvr0aYv/vqqqSjSZGMTeYIhF8j0kAgMHZ0oGrYlKpRITY0zFPk0RIUsXSjXn1ech0itSjJqjNHOMz8AirU5nK2V872bAq+QYZI1SJB1yN9F1fCgoFmv93bC7uRDxPrH42/jbsXTkMjGib6BYMiWnqVUrRGN3U3J2Z1eK0w2tHSUQ9DYl03JTqyCpMadjnjdd7lBTcmpypa5lEohnf5aaUwITgNSLJHE4YpbTfF4yTE9Y/G3zwgsvWPxFMXfuXEtvlhm0FHKXusJzUsgpQOx0yZ7BAVLI1hKLND7OXJRQiMHmQhS1FBkFYqNWSge7wAWh7qGI8oxCelC6EIdi84iGv5vUgLFlyxYEKgKRGpw6oP2khhESRZb6HVI0k5pbBkpfI4v0Y9HTc3AidoYfmlSbKVfKsb1gu/BE/KX4F+GBSNHDR6c/iqnhU+HSi5m5U/+gaywz6UBufw9XnDSpCaYfdKnQpFwKt5iJkIWlYp+2Dq8fe1Ok5KlO9vmpz2Nx7GKriMS+4KXsfkqOKQ0qTbuYlKKShsPSehV+PFXe85Qcikj6dp6SQ4fUVW4zU3Od1tic4pm1GbIqmpyikETheX8BRp0PBCfa5r4ZxtHF4l/+8hd4e1vu2v/www8PWrqKMcFgcdFVGJqmkCkySMKQUshiSgKlkKMdLoU8UEgAldWXwW2kG7aWbDUKQ9pIKHaNEpIonBY0TRxGeUQh0iMSbhSh6QESdpbazvSEobu4paWl15Q53V9tbS2mTZs2qGKRGoX6EqUdKJ7enqhUVuIfR/+B/bv2izrQSaGT8PjMx7FkxJL+TRFxZNTNkgg0GtC3HzZXSZe7eklR/ujJwOTrO/+g0+vR2tCAQ42ZWHvw76J+dnTAaLw0/yVhMO7IYpqse2gbFebTvyk5xT1PyTFGJ41iUkp/92lKjmhO2dY+OeV7yQLMKwRtcQvhsvARyBIWAu62dQhgGKcQi8uXL+/TjS5d2n+jYMbSFHLBudY056SQU4FxqzvqCqnWcIinRMhT77u87/Bpxqc4Gn0UqAJcqjqihFODpnYbJewP1hKLhtF5XVOu5kQbRSC7i5jaUixScwuJRVtS2VqJg9UHcaj6EA7VHEJjRCP86/xxZcqVWJW4ShhoD4mGk7p8k+km7Vt1tjQOkub4kG0K/YhLv7V9HnIq4D+i22YIElO7i3fj34f+jaNVR5ESlIJ/LfgX5sfMHxKNPZZOyalp1kgp7m6m5BzuYUqOaf1kR+pbiWh1DnwLfoBMNKfQdCS91JAy7Xbph3bEBKiamqUgyhBYZ4bpjQEVPRlSZ6b0JQLJ9CeFbOhCru9IIdOXCRm3Tr1JEoYi4tDZi20oQ3Y1FE0xeOpRd2yqTyqmVE7BVQuvQpxfXK9RQnuKRcN7hiKLvUFRRWsZYxuMyru+h7tC1jq0WbsGmcoBMuoyhECkLbcpVww9TPJJwoqoFdCc0iA5IBmXT7ocTglFoDo1m7RH+tUN0uUUFaTovhhXeVf7hJMxgFvvDVkkkH4u+hmvH3kdRyuPIiUgBa8tfA1zoucMCZHYF+jxBnq5ia0/U3IKa5pxJKcEiY37MU92CCnyQ/CTVaNJ744Digk44f8HFIfMhk9wNCI83RHZ4IFwl0b4yHXw8uq+AYthMNzFIpkcP/fcczhw4ICINhgwdC3u3bvX2vs4DFPIJhNOaBQeQaathpmqSUs7Gk6GYAq5L6PbqNmBxrcVNRaJBoeb0m4So9vyjuXhp1M/YVTAKJt9mJNY7E1oWQLVAdI+WiIWyeuQ/p6mt1hj/+l+exO8VDdIWMOMu6SlBAeqD4jtaM1RMeowwC0AkwMnY3XsakwMnAhfV+l+dhbtRH1d+48iR4bq2Cgy2GkeMpnQ53e8d2nMHb1fR1/QMfrOJ7zP7136nN1RsANrj65FZlWm6MBfe95ajPUZKyLULFz6MCWnJg84vVOytqn8GXBVQesXh5roi7A3YDYy3NJQ3KDrmJqTXyjGLnadkmOMTnapnzSkvynNzjDDTiw++uij4vCxxx4TDS/84WSltPLziR0NJ2RDQ18s4y4fVilkSyCLlK25W4VANIxuI0+9VQmrMDF0ong90hfq8YbjImJny9cniS3TH0wDuR0Sf9T92xuUhrZmPTBFF3sTvNTc0l+xqNKphCgkcXiw5qAQiwqZAsl+yfhN3G8wKXASRnqN7PZ5opQ82R85FI0VXUThcaAiS+qC7TTH/OIOUWiF9y5Fz3/I/wFrj6xFVk2WsGd6c8mbSA9Pl3arDz6dwxYS9YV7OyanVJxob06ZCSx8VExOUQQlIkQmA7mJSivbGa2uDRU0drGmBTlltaht1aOkrtXslBzCR6kQHd3CyNyvGx9Kf3d4urHlMePY9PkVShYf7733HuLi4myzR8MR+qJc+U/AJ0JKIbuz5VDXL8p9pfuEQKR6RBrdRpNQehrdRl+eti6JIIFjjcgiQdFCS8VidHQ0BjM6akh9W+JXSUI9tzFX1BySQKQ0s1avRZh7mIge3pxwM8b6j4Wnoveuaro/eh4p8mmL2d49olFJY9hMRSFFC5vajcLpNUc/4iLGAxOu7qgt9LSutZCuTYfv8r8T6eYztWcwLXwa3j7/bdEFbrrmjBmaq9ubU7ZIh6pa0ZwibG3m/0nyQOzD561hSg5FEZOCXLv9QUpTcigCWdJeM0n1kobjGcX12HaiXMz5NsXPw7VLI46pdZB0SHZFDOM0YjElJUVYkrBYtDI0NJ7pRH59vhCItJU0lYgGh9+O/S1WJKwwjsozB4kMa5hxD0Ya2iAWW1s7f4GYe1xk4j2YkUUam+ju7m5WsDVqGnG45rAxvVytrobSRSlE4U0JN4noIXWX9zXKa7DpocdsM89WU79R04hh1RlA356eDxgpCUHDZCKKGAbEATa0oiGRSGbjbxx9Azl1OZgZOVNYBdGYSKaX55OeP+PklH1S4xCJ+mm3StY2NEXFhpNTyFg8OsBTbOZo1epQVtcq6ie7+lAezq/F5vpzp+RQTSaJVNMpOYbu7mE5JYdx/DT0M888I1JTCQkJ5xgDjxo1ypr7xwwzGtWNokmFmlVovrK3qzeWjlwq0szjQ8ZbJDgo0kLNV7YeTWfNyCKloZuamnr8G2oyoeijNcWiJYK3q6WPTq/DmYYzoimFxOGp+lPCiijWMxazgmZhavBUpPmnDbipyFCXaTWx2NogNYd1rS00lH9QhImEYPw8YPrt7dZSyYBy8Jr2tG1afHP2G6w7ug659bmYEzUHT856Urz2mR5sh87+1DE5hazCyGqIoobLX5aiiL4RcCRI1MUGeYrNulNy2j0oTSbjhA+lKTmM84hFmktLTS5PPPGE8TxDnRg3uDD9jaLsLd0rpnJ8n/c9WnWtIpLy9zl/Fz5x7gr3Pt0eRegodWlrA2nD694akDCi91ZPkAC2VqNJXyKLVJepDFTi+9LvjdY29dp6eMm9MD5gPH6f9HsRPQxWBkOj0QjzbmvUihrEYm8i+hzadEB1Thd7muNAbZ50uUze3iyWKgkJQwrZN8puzWLUGb4pexPWHVsnGrfI+uZvc/42YMP3IUttvhQ5PL1VEopalRTtTV4uPadxswEFDS50XvoyJccwGcfUOsjclBwyNTetn6RIZbjJ8VAfd2F+zjADEotPPvkkkpKS8PTTT3ODCzMgcutyRYp5Y85GMcYtzjcOt46/VXQz95Zm7gmDuLBGx/BgWOcQNMO6t2YZw+My+DJa6zF0J3jpvLymPPxS+Qu+CfoGNbIa4CQwymcUlkUtE/WHo31Gd5oKYu3aOUp99yoWyTDZOMPcYFFzEtC2d5Z7h0lCMGVle7MY2dOMdhghodFpxI+kN4+9KTr6z4s9D/+Y9w8kByXbe9ccsDlln9ScQgKRnm9qTiHLsIV/bp+cMmrYOUNYOiVHEpT9m5LTtX7S5lNymKEhFktKSvDiiy8iJmaYzGFlrEqDukHUYm04swGHKw7Dx9UHy0YuE6bLY4PHWuXHh6EzlASYs0QWaV8pKtcTBmsda4tFQ2SR0ssn607i18pfxVaiKoGH3APBmmCc538eVk1YJUzMBwvaNzc3N+lxa1slaylT30LaGtu7pSn6TB6FlDoee7nUfELi0Nu2pQj9Ra1T44vTX+DN42+irKkMS+KW4F8L/4WkgCR775qDNad8LwlEQ3OKZ7AUOZz3R0BMTuFmQEun5CT1MiWna/2k4bRFU3Lo0GgdJJ2mKTkcTBrGYnHq1Kk4deoUi0WmT2nmPSV78GX2l8L+g1JulGZ+ft7zWBCzQMz6tSaGdK0hMuUMYpFEUW9ikeoVKW1Mf2st2mRtOKU9hV+zfsWeyj2o1dTC39Uf04On47bg25Dml4aP3v8I0xKm2V4otmkhbyqDa0MhFI2FUDQU4hLdL4ja+SGwrbhjOpF/rCQKJ13b7jeaCgTGA3LHtx+hTv7PT3+Ot4+/jcqWSiyNW4pbxt2CBP8Ee++a/aH3EkUMTxmaU/ZKzSnh44D0W4S1DSIn2bQ5ZThiOiUnOcJ2U3KM3d4mzTn+ntYpWWFsT58/XefMmSMii2fOnEFiYuI5DS7z5s2z5v4xTgx1cVIEkdLM5c3liPeLx+8m/E6kmUM9Bz6BxBwGCxpriqrBEIvUwNJbLabBwNsaYxE/zvoY73u/D1WrChG1EVgYvhAzgmdgtO9o4zxh6oS2pvCWqRuECBSC0LgVQdFQAEVjCWR6aQ30kEHnFQ4vuKPKKwneC+7paDhxwjm8NFXov1n/xfqM9ahWVYv3wM1jb8ZIv5EY1mhapJpDQ/0hjTGl5pT4+Q7bnDIc6feUnPb0N03J2Xu2WlgKaU1czd1dJSuiiE6pbklIStFKD/h6KFhQOqNYfPbZZ8Xhm2++ec5l3ODC1LXWYUvuFlGHdbTiKHzdfEWa+aLEi5AalDoob3oSVRSBozSms4hFagqhdDBt5vabHtdARRuZmn908iO8m/EuGjQNSNImYbbXbKxIX9Htc2OoF7RYeLdpoWgoh2tjkTE6qKjviBTKDZ3H9KeuXtD6xEDjE4XmEQuh9YmWNm/aIgG5K7799lsx2nDE1EvgjJAo/yTrE/wn4z/ivUG2T2T/FOsbi2FLbUFH57JoTmmRZl/TdBuKHg6B5pThSLdTcrqga9OjikzNTeonS9ujlGcrG0VTTk9Tcugw0N0FI0L9xGmqn6ToJU/JcUCxuG8fDVVnmM52H78U/yKaVSjNTLVvs6JmiUJ96uq0xVzmniBR1TXibSusKRYJii6aE2aUpu6vWCRLog9Pfoh3M98VAuaSUZeI0Yhfvf8V/GX+ZkW8oU7SsH+do4MFJpHBdmHYWAxZuz+hXuYiooNa7yioA5LQHGsiCH1i0Kb067UhgZ5Ha0zJGWxovSly+07GO+I41eRSJDHax3qG6k4DdacbmlNIIJZnSB3pNDllwcOSQKTudI4eDXlE84yvu9gmxHRf1mKcktOe7pbS3tLxrNIGkfaubMrvdkpOpyilaYTSj6fkDBRePabfZNdmiwgiWX5UtFQg0T8Rd026CxfGX4hgj2C77ReJi8GY+GHNyKJhf3vqriax2NfUOjUUfXDiA7yX+Z5IhV466lLcNPYmY7d5t49Br4eLqhqu9XkILtiDRfr9SDx0CB6t5T1HB2MXotUzAm3+I6DzjYHWK0JEBwcCicXeajkdiXp1PT488aFxvUmU35h2IyIpUjrcmlOyf2ifnPId0FIDeAZJaeW590vNKR6D1yzFOA+GKTm0AQGdLqPPKmpgVHp4irGK5qfklKGyUd3tlBwxx1sYmZuOXuQpOTYRixkZGdi/f7/whevq0Xbvvff25yYZJ4FSad+e/VaYZh+vOg4/pR8uGHmBiJykBKY4RG0JiYtBHw83QAz725PnIUUdLZ1KQ6Ll/cz3xUa+lZclXSZES5hXWMcftekQrCtFeN0J+B06IsShoj4PrnV5cNFIHeVhkKEO3lCoR5lEB2OMEULT6CB9kFvTZ9GwLr3VcjrK++L9E+/jg8wPjOu9Jm3NgCygnK855URHerng1/bmlLHA1Jsla5soak5xrvcl45j0dUpOVx/KnqbkdFs/6SedN5yn5PRZLL799tv4v//7P4wYMeIcn8XBEAqffvqpmE1dVVUlpsU88MADSEtLM/v327ZtE/tLlj/UwX3nnXdi9uzZNt/PoZZm3l28G1+e+RI7CnaIWc00WeKl+S9hbvTcQU8z9waJC1vXK9oqstiTWKSoo2k62JxooagWRROp63x10mohWkRDEXkSZm2WUoLUaVp0EJeqJVGoqwuCxjcWGhKEIxZD4zcCWt9Y7M+pxqFjJ3D5wsttbnJubl0smZltL2pVtSK1Tyl+6vpfPXo11qSuQYinY1r2WL855ecOgViXD7h6Ss0pF74oRRH9ouy9l8wwxZZTciLJyFxYB3We3z2Up+T0WSx+/PHHeOyxx7BixQoMNlu3bsVLL72Ehx56SAjEjz76SIi/zz//XAjXrhw5cgSPPPIIfv/734su7s2bN+P+++/H+++/Lzq5mZ45XXNaRBA35WxClaoKowJG4Z5J9+CC+AvsmmbujZ6aRBwVw/72JD57elwNrQ34+uzX2HV6lxAtl5NIDJuB4PJTwJbHgIK9QHW29MdeIUB0ukgHbjpSjhbfRKTPPa/b29Xo93fav8HGmvO3rUlVS5UQidQsRFw5+kpcl3qdQ78vrALN0TZ0Luf8aNKcslSKHlJziqttLasYxhmm5ESYRCQNfpTS6EXnnJKj6E80Zfx4+8wp/eCDD3DRRRdh5cqV4jSJxp07d2LDhg244YYbuhW2M2bMwHXXXSdO33777dizZ4+ITj788MODvv/OAEVKaDYt1SJmVmUiQBkgahBXJqzEmMAxDpFm7g0SF86wn6YY9rcnsUiXdRVtNaoa0USx7oc3oNfrcFNaGq5vaEbwdy8DmqelRgJKBSYuAqIfAqKnSGPR2u+v9OSb8JSbn3RjEGr2EovWnL9tDcgb8T/H/4NPT30KGWS4OvlqXJtyLQLdz/2xOnSaU/Z3TE4hQ3R6TdHklAUPSQKRJuI42fuNYQZjSk5JnQqnyrqfkhMmxi52npIjjV70QIini/OLxauuugr//e9/cd9992EwoVqokydPYs2aNcbz6AssPT0dR48e7fY6dP7VV1/d6TwSjzt27OixOcK0+5I6aw1f1H1NORquY8n1WtQ6ZFdIKUF7pJmPVO3BTyXf4mDlLuFyNzF4Jv4w7mlMDJoBhYurCCAcL+pobHBkCptkUKtdkFXebFPRSPdToXXHscLaAd9WSXkzqvSeOFPVCu9WyVS8K2VqN7g0yXAsvxKq8n34Jvd9fN10XNSGLa6rxvLGJsxz16E5dBJKJtyF5tCJaAkZB73CRAzSTTd3PI+lra5QQlqr7ihokon9Ol2pgkLRc+0gvc6pBECh0Fht3YuaXVDX6mqVNR4INa2V2Jj3Ib4v+goKmSuWxlyOpbGr4ePqh6JKoAj22z9a9+aWFnh6aK2y7i6tdfAp/BE++d+LQ0VrDbTKADTEzEdDym1oiJ4r1aoS9FHpJJ8LjrzmzNBY90BPV7GlRvqes99NrTrR5U3WQRUNrShq96PMKKrDztOVQnAaLIMU0OHa9o/t5lZtr+VHA8FSXdNnsXjttdfinnvuwapVqxAfH3+ORcnzzz8PW1BbWytqtrqmm+l0bm5ut9ehusbu/p7ON8f69euxbt0642l6fMuWLRMdWH3tyqQnwWA90tsLO7OkAVe8fQiDiYuyBK5+B6DwOwwXRSN0qkhoapdCWz8B2zO9sV38lTP6ZpJHmxI4c9bG90N1hnH4+FUS2NYgBRu2lAOgDXBBGyJlVRghK0WcrAwjaKvLxqayCnzh6wF6RS2ukyOqOhE/Vk3GfYhFXU06UCMDsugWSNwd7OU+29OmZ3LMXE6fWCnY8FU+7APVG3niHautcd+QKWrhFvQjXP33AXoF1NVzoa6eiXePe+JdHMfQQI9RsiIsdDmEhfJDmCw7BYWsDZltI/BB21z8oJuIw6pEtNW5QHrIQ+VxM4zjk1FQgXExtstcGAJiVheLJAapE3rKlCnw8/NzSHU/EChyaRqNpIV89dVX4e3t3edZwwbFTtftbZ3GjvDAxjtmwdbUq2uwq3SbiCLmNZ6Gr6s/ZoVfgLkRyzDCZ2jUcW7fvl08b+PGjbPp65PGXhYWFp4Tve4zbVo0ntyBwt2fYmKUJ/zUZfBsLoRHczFc9Fq0yGTY4+GBrZ5+eN3bFQoXPywPmo/FSbfB20Pqbg44LInCtAmT+nTXX375pfBuNFdakpGZgbNnz2LJ4iW92vZ0RBatN3Hh+PHjqK+vx6WXXorBpKKlBBvyPsCO4q/hIffEBbFrsCTmEngqzKei7B9t8bB43WVaFbxKfoFvwQ/wyf8Bbo2FaJO7ozFqNspirkNDzALovCNB87h4Jpd11pwZGuvepNYKW57KhlbpsFElDilaSFFDOq4ymaNNexnk7YZgbzcEtZuWh9BpHyWCvJQI8VHC38O1Uw2jVqPBhnel4FFqTAi8vc2XCg0US6OWfRaLX3/9NZ577rlB7yj29/cXnZHV1dWdzqfTQUFB3V6Hzu/L3xP0hWj6pWhYSHph9ufFabheb9f1VCowNto2vmManQY/Ff0kRu/9VPiTePXOj56P+9PvEubZri5Dy/0+x9cFDQ1ajA61zmg8c7QUA60KVd+fN+oipTqwvN1A/m6gYB+gaYIWcmjrY9DmH4vCoHT87KbHbl01DrfkQ63XwLfNFzPdJ+Gpi58SlkWmqEp8xGFf92WPuxaenm1irbqjscAF9bJmJAYp4eHR8weWLaxzqty18NbobPbe6EpBQwHePPameK/4uPngzol34MoxV8KLRtA5KJL3nKL3H6V1RSaTU34ENM3SnO3kZcIY2yVuNnxdPeB8wxQdeM0Zp1r3ZrW2wwy8SzNLabtBeNdmlhBvpVR36O+BSSMCTIzApQYXanYh78i+QKVwG0y0gS1fY5bedp/Foq+vL6KjB38KAX0BjRkzRowTnD9/vjiPCt9poszll1/e7XUoskSXU52lAWpwGTt2LIYDJ6tPim7mr3O+Rk1rDVKCUvDA1AfE+L0A985mp0MJqmW1lqVNT9B9WPRGI0Pi/D2SMMz7BSg+BLRpAHc/IGY6MO+PKJDH4Pkd38MnLQBHGo4gr2kv5Go5UvxScE3EtZgaOBUZOzMQ5BN0jlAc6GMYqKWPLaHSk8HwzMyrz8MbR98Q7xVa33sm3yNshzzJCsaZm1OKDkjdy7SVHWtvTqHX3IPS5JSQMdycwgwLerLJMTSnnGuT42YUfTPig4wWOcLY21eyyXFTOF4zii3os1i85ZZb8Prrr+Mvf/nLgOfU9hVK9z3++ONISUlBamoqPvzwQ1ETaLDxIUsfmiN7xx13iNNXXnml2F+yyqFI6JYtW5CZmTmkO6HJ0oO+8Kib+VTNKQS5B4lO5pWJK5EUkIThAP2w6GkSis2pL+kQhvm/AGUZoi4M3uHAiBnAuMulbtLQFFK22Fe6D8/uehanI0/Dt9IXU4Om4jcjfoOJgRPhpeiIaGXJs6w+zaQ3wWuIsttrPUmk2nJ0Y05dDtYdXSccAOi9cv+U+3Fp0qXwMG0KciZaaoHs76XoIU1Oaa4CPAIkz8PZ90hd8XSaYYYQPRlwU6SwtBsD7gBPV2MH8pS4gE4WNxQdDPVV8kSXgfosFhUVYcmSJYiIiDjng5zsbWwF3SdNjVm7dq1oUklKSsIrr7xiTCuXlpZ2svigOqynn34a//73v/Haa68JU+4XXnhhyHksUpr5x8IfRRRxZ9FO8eVPM5nvnnQ3ZkbOhMJleE11HCyxKIQWHanKbk8p/wLk7QJq2huuAuOl+bfTfyeJxICRnaI4WdVZePngy+I5S/BKwJzSObjrorvg4e4xaHOSe4ssGsSivUbuUQ2kLX6Unqk5IyKJm3M3C8PyP6X/SYzmU8r7Vpdsd+j5qzgJ1+MbgbwdQD5NTtEBYWnApOuBpKWSXRJPTmGcFI2uDWX17eP8alqQV1GHqpa2DquaOqoZ7Nyk4euuMBpmT4j1R4SviUVNe1TQw43fE32hzyrCkAK2F1dccYXYuuONN94457zzzjtPbEMN+pLPrM4UApHG79W21iItKA0Ppj8o0szWTFU6G9SIZPURcToNFI2FcK0vgKI+X2wzi45jSWMu8MoTUhlzeJrkO0fCkCKHPt2PeitqLMKrh14VEeBY31j8Y94/EFYXhi8zvoSrwrVH4UbNHoMZWTQINXuKxb7Ow+4JEuivH30d3+V9hwivCPx5+p9xUeJFDjeFqEc0KiBvpzG9LKvNg1LhDsTPAy54Xooi+sfYey8Zpld0bXqUN9BMZykKSDOeDccNKWKymzH9TevlJpeEoL+HsKhZlBx6Tp0geSMyDpCGZuxrCkwig0bvnak9gxCPEFw86mKsSliFBP8Ee++eQ4lFi2sKDejUUDSQIMyHoqFAOjRsTSWQ0axbSo3KlWIucqPMFxluE5F+6V1ATDrg0XMTBhloUzTrk6xP4OvmK4QKPXfUYHTgwAHxNz3V55Fosvbou97WyNDUYi+xSPdrDbFIBvOvH3kdPxT8gCjvKDw+43FRnuEqd5LmrvpiyRSbBGLODqk5xS8WSFoC/aglaAyeCO+AEK4/ZByGtja9iPgZRJ+hScS0TrC8oVUIRgMernLjPOakUG/MSwoxjtGT6gSVkGlbubHIDrD8dgLUOrWYyUx1iLuKdkEuk2Nh7ELcO/lezIgk02x+GruKRYONyzlCQ9sK18ZCKOpIEOYbBaFrQwHkjSWQUW2hEITu0PrGQOsTi+a4xWJOMs1OptM6r1BA5iIspMg6Jz1pSY/706xpFvOa12esF6dvG38brkm+plPzBImi3ixn6HEZfDsHa9qNj4/UZW2v+cy0Ln21rDLlWMUxEUmkMo1Yn1j8ddZfxUQih3cAEM0pB9u7lzcDpdSc4gLETBMNUSKCHZosiUMKuzTax9CfGZ7Q52tVk1rUBYo6QRJ/9Z3rBCl1rDURgkqFi3H8XVywF2YmBBvH3xnqBH09ev4MlLqhLfMFZKyLRSpj4cKF+N///ifsayzhwgsvxJtvvilqGpn+QW+KjKoMEUGkNHO9uh7jgsfh4WkP4/y484d1mrk3PJWuCNSWwS17C3y1lVBQ6rhdGMqbyjoEocJDEoE+MWgaudREEMZA50mCsOdfrt2N3zNF06bBF6e/wP8d+T/UtdbhitFX4JZxt3TbiU61iL35XVFKmPwjrdkh3NscbRLb9OFt7VpJS6H77U/N4uHyw1h7dK34cRXnG4dnZj8jyjMc+oeVaE75QYog0mZoTkk8D5h1D5CwEPAcomMFGYeBPtdqmml8XUsX6xhKEUsRQTqu1nU4JLjKZdLoOj8PRPl7YEpcoFEYGqKC1FDC0UDnxaJPzoaGBuzatUuEfi2hrq7Ovt2oTkx5czk25WwStYjUqRnqESosPKibOd4v3t6751hQRKWuACjLBMoz2g8zkVB5ColtWuBXEoSekgD0jUVTwlhofEcIMUindR7BA0rbmUvh0vlb87bilUOvIL8+H8vjl+P3E38v0p/mIBHYm1g0pISbmpqEhdVgzdEmMWntiKYl0DrSunh6Wm5fc6DsANYeWYtfS35Fgl8Cnpv7HJaMWAK5IzZ40Ou38pSUWiZxSE1S1JwSmgpMuk5qTomaAsgdWOAyTgW9p+pbtCipbzGJChoaRTosZVSaDiGooDnG1CDS3hwyIcZfHKcZxoaoYJCXG1xMTKWZoYfFn0JkWcPYbjbztvxtQiDuLt4tUmSUZn5w6oOYFjHNMb/o7BF1Kc+UbGjEIQnDE0Br+1xapa9kRRM7Haq0q/DtgVxEjZuP8ISxNqvj6k4s7inZg5cPvIzjVccxJ2qOaF4ZHTi619vqi1ikH2/WEou9RUcJimLaQyxSVJHEbG9ikR4D2Q9RJJEORwWMEut+3ojz4EKpW4dsTqHo4Rapc56aU0ZSc8pzUnqZm1OYfkLzhUUE0KROkA7JOsYQFWxWdwRySN+REBTpYD8PpET4Gr0EDRFBmjhiOl2EGZ5YJBbJ2JqxHTLI8Py+5xHpFSmaHijNTA0QwxKtWoq2dBKGGUB9kXQ5pRGDRwNhKZKpcFiqJBL9oo2i0E2nQ/HR/4O3TolwG6Y9TIUWGaCTSNxVvAtjg8fi7fPfxtTwqRbfFtUE9tbIYRBN1BEdFWU+StkXKAPQW2SRaimbm5sx2BjqJL28vMyuP0UQKZJ4sPwgkgOT8fKCl7EgZoFjiUTy3TRMThHNKU2AX4zUtUyv4bg5gJsTm38zg4JhuogkBjtSxMaoYA/TRcg6Zm5SiEnXsBQR7M90EWZ4wvkNB4Aih1+s+mJ4CURjCjmjc7Sw6rSYlSygL1QSgmRiTak5EohBowBFz6KKBBxF4WwtcCjq1SBvwIM/PShMnak27qX5L2FR7KI+1+ZQ5K43sUi1exTlozIPa9FbzSJBDSaNdmigMEQzu5a/kEgkUU4i8UjFEaQGpeLVha9ibvRcx6iJomk3xQfbrW2oOeWo1JwSnQ7MvV8SiPS6doR9ZRxrukgPdYLmpouEd5kuYqgTHE7TRRjbw2LRQRjSQpHG3bXXExqFoUght3sGUrMOCUEysE6/WRKG1OnZixVNT1A0imr7bEGjphEHqg/ga83XOOl2EkGlQXhsxmO4OPHifjdQkLDtLbVMQoiEU21tLQZTLNJ9FhcX992KaIAYxL6hI5vun2abk0ikND81fP170b8xO2q2/UWiqk5qTjllaE6pBNz9peaUmXdJk1O4OWVYTxcxRAHPjQqany5Coq/rdBGDEOTpIsxgwmKRsR7aVimF3KXhpCOF7AoEJ0nCcPSyjmihb5TVoywkcGjSkDUgkVLYXIh9Vfuwt2ovMusy0YY2hCIUM9tm4sVLXhzweDiKotGoyt4g4VRdXQ1rQWno3sSin58fCgoKRF3lYI74JLFI0VZXN1d8n/+98Ek8UX0CE0Mn4vXFr2NGxAz7iUTRnHK6Pb28RZreQxFxihhOvKZ9cspUbk4ZBtNFyCvQOE2kPQpYbKwT7Hm6yLhofyxN7ZguYugo5ukijKNh8SdZRUUFQkJCbLs3jHNAX5S1+R2RQkO0sOpM5xQy1ROOu6KjrjAosdcUsjXF4kAii2R7k1GXgb2Ve4VILFGVwM3FDeMDxuP2pNsxNXAqMvdmQqfXWWWOMO2rJX6CJBbLysowmJHFwMBAY63kYIpFSn1XBFRg9cbVYs451YC+teQtcWgXkUg/hmicY/vkFNScbW9OmQss/ZuUXvaPHfz9Ymw+XYTSwQb/QGOEsKYZFU3qTtNFvJUKY9dwcrgvFo4xnS4iCUGeLsI4Ixa/ai+//HI8+OCDWLp0qW33iHHMFLIQhIZo4QlA3SBd7u4nRQjjZgPpt7QLw2TpfDtCoorEBhlzd51fbo5ada1IL1P08GD1QbToWhCsDMbUoKm4JegWjPUfC3e5e5+ElqVdv7Sfhm7n3qJ8WVlZVvFapIipJbcTHh5u7MK2JPo5EPP5M41ncKLuBE7Wn8SRliNo9mjGdPfpWH/+ekwJn4JBp6G0Y3JK9napOcU3WkxOwai/SUKRm1OcerqImCrSZcQcicOyHqaLJIZ6YdoIX4wI8RVRQjFdxM8dvu4ObvbOMLYWi7/73e/wzDPPYPv27Xj44YfFlxYzhKCoSUXWufY0DcUdKeSQ0VKEcMwF7SnkVMA30iEL9Q31fyRwAgLONcE2iKXcplwhDmk7VX9KnJ/kk4RLYy5FelA6RnqPNBvFIrFojVF0tI+EJWKRjPHpfikVPdBIv8ELtTfBS13Y9DfWbKwhKlQVQhQaxGFOYw60ei2ULkqM8hmFpNYkzAybiduX3I7BbU451DE5peRIe3PKVGDufZK1Db3uHfA1z3Q/XaS77mGaLqLRmZ8uMiMh6Jw6QT+PDlNpaZJII4+dY4YNFovF1atXY+bMmfjrX/8qooyPPPII5s6da9u9Y2zzZViXf25dIdVfkSEwQTNnqZZw/JXSFyNtlEJ2ljm67RE4ggSOqVhs1bXiaO1RkVqmraK1Ah5yD0wMmIi7R9+NyUGTEeDWvbjsirUii4ZOY0vFIlFeXm41sWhJhJI8IAfSWENpfRKDBmFIW2VrpbgszD0MY3zHYGH4QnE40muksL754IMPMH7seNgcVX3nySlNFVJknJpTZtwhHXJzikNAIq22WdMh/urPrROk42qt+ekik0cEdhKBPF2EYXqnT8UT5O22du1afPLJJ3jggQcwcuTIc75o6AOecRCaq00MrA21hZRCbuySQp4DTLu1owvZ3fk7s6m2jjYSOCRK9lftF9HDIzVH0NrWKgTK9ODpInqY5p/Wr1nBJBatMXbPEFm0ZFIJPSb6u9LSUqSmpg7ofin1TVjyGOg+a2pqLL7t6tbqTlHDMw1noNFr4CpzxSjfUZgbOlcIw2TfZAQoA7ptbqH9CwoKgk2oPCNFDimCSJNTqNY2JBmYcFV7c0o6N6fYY7qISmtiH3NunWDX6SJkFh3eZbqIQRjydBGGsR59/jQsKSkRqWhK882bN89qM2oZa6WQj3dECxtKpMvlbh1G1mOWdzScOGgK2RqUtZQhJzQHW2u3ouyXMrjABSl+Kbgq7iohEKM9owccSbCWWKToJ0XuLE1pU8MJicWBYhCLlkRH6T6zs7O7rQGlCURnG8/iRP0JnKg9gayGLJS3lovLQpQhQhTODp0tDuO94y0S5oaUt9XEorE5pX1ySnUOIFd2NKeQQXbACOvcF9Mtja3aTlNFTEfMiahgnQpNXaaLhPqQCOyYLiImjbR3EvN0EYZxULH4xRdf4OWXX0Z6ejo+/fRTs7VgjA1TyLV5XaKF7V3IhhQydWNShJAiJCQInTCF3F9atC3CYoXGJtLYPYVMgRh1DB4Y/wAmBU6Cj6vk12ctrCUWqcvY3JSS7iABdfr06QH7HvYlshgRESHEIkUX3fzcOkUNTzecFtFaWu94r3jMCJ6BZL9kjPEbIxqE+gOJRRKxA/qMMW1OockpFFH3iZS6ls9/pr05xfJ1Z8zTotYZU8OGOsGuUcEGVefpIiT0yC6Gon80XSSiS0SQp4swjBOKxTvvvBMZGRki/bx8+XLb7hUjpZBNx90ZjKyNKWR/SQjSF97026XjIWOGRAq5L5BgOlR+CF9lf4UtuVvQpGnClLApeGjSQ4hVxWLbN9swc8HMXucu21MsUqq8L2IxODgYR44cEYLKUMM4ELHYU7c4WQPlNeUh0zUTe4P3YvvJ7ajSVYnLAt0CRbTw6pFXi3QyRQ1lOplY64FGbWlNSCj2aX3px1TJISl6KJpTDothmqI5ZfYf2sdDpg3ZaLotp4uYNomYzhk2N12EUr+SXYwHTxdhmOEkFqkY/qOPPkJYWJht92g4QkZdRz7uiBSSOGws7Ughiy7kVCB5RYeRtU/EsP7SK24sxobsDWIraChAlHcUrku5DisSViDaO1o0jRgaR6hz2BavW3pPWGrLY4kw6otYJAoLC60iFk0FGU2noTTyybqTIq2cVZ8lLITkMjn83PwQr4/Hjck3isghpZhNRSEJd42us2gYyJpY9JxRc0rO9o7JKU3lUi1uwiJg+u+k5hQvG9U9DgGoEaTMVPwZuodNIoLdTRcJpwigyXQR06ggTxdhmKGHxd90//73v227J8MZ+sLd9jigUEoRQpoAQYKQhGFQwrBIIVtCs6YZ2/K3YcOZDdhTukeYYS8ZsQRPzHwCk8Mmiw5ag2ghqFuYxFxlZaVNxKI1Iouiu7O2FrGxlps5U9c01Qzn5+cjLS1tQP6ODYoG7KrbhdyKXJFWLmgugB56+Lr6iqjh5bGXC2GY6JOIbzd8CzQB88LmwZbQmpDAT05ONt+cYpicIppTNFJUnbr3qTklZho3p5hOFzFbJ2h+ukh4l+kikhjk6SIMM1zhT1RH4e4jgOvgTcdwFtr0bThQdkBEELfmbkWzthnp4el4evbTOC/2PHi6mu8gJiFHtXY0fcgWWMMYm7p+SbSRX1tfIHPsvLy8ft1nZUslvs75Gv/N/C/yovMgy5NhhNcI0QB0aeylQiRGekSek0om8X3mzBmxv9bwl+xpmg3dh8EMHFo1kL+7Y3JKdXZ7c8ocqfaQDLID4jAcp4sYUsG55XWobmkzjpgjQVjR0Iq2bqaLkBA0nS4iNY3wdBGGYczDnwyOAgvFThQ2FGJj9kZRi1jUWCRSyzek3YCVCStFytlSoqOjcfToUZvsozXS0IY5zwYTcUuhSCkJN5opbYk/I01H+bHwR9H8s7Nop4jCTvabjKizUbht+W0I9OrdRzAuLk7cJ4lvstGyFVVVVfDSNyGm6ifgkyeBbGpOaWhvTlkCLHkKiJ83ZJtTDNNFureOkSKE504XcTFGABNDvTF3VHDnOkF/ni7CMEz/YbHIOFSaeWveViFo9pfth6fCE+fHnY9ViaswKXRSv5omKL37yy+/GKctOKpYpPGEfYEipkRubq7ZdC2lczOrMvHlmS/xbe63qGutw9jgsXgo/SEsHbkUuSdz8eWhL+GrtEyoRkZGig5lmk3dL7Gob4NLay3kzZWQq6ohb6mCS0uVOJSrqoynQ+tLMRe1wBZqTpkCzL5bmpwSPtbp63QN00WkusCOOkHRONJ+vOt0EWoEMXQNjwj0xPT4QGN9YLgvCUIl5LpW8RpiY2mGYWwBi0XG7mnm/aX7RQTxu7zvoNKqkB6RjmdmP4NFsYt6TDNbgqEWkASOI4pFqqekTui+dmvTY6FoJNnZdBWLFc0VIs1Ma3qm9gxCPEJwyahLsCphFRL8E4x/p9FohLiwNJVOQpFMwclr1UibThKAJPSaK+DeWA43TZ1R/MlbqsVxIQpVNZAZLJ4MV1e4Q+ceBJ1HMNo8gqAOGYtT6miovWMw49o/A179s96x93QRSfidWyfY03QRiv5NGhHQaboIbYFebj2KQGn0XOcmFIZhGGvCYpGxCwX1BdiQs0E0qxQ3FSPWJxY3j70ZK+JXIMJbippZA5o8QrV2ZGKdkNAhlAYKfUFbSyz2NQVtGukjsUj7Qmlmqu1cv209dhfvFt3LC2MX4r4p92F6xHQoXM7dT6oLpP03FSIybQtcVLVC2Lm01sGltQZylXRIpy9DFvTllQj/4i0oVNVCKMr0HeKHaFN4QucRZNy0vuPbBaG0tZkc13f5MUCPZetHH2F26myHEoqdposIEdiRIi6t7/AXNDddxNAwYto1TOcFeyl5ugjDMA4Pi0Vm0CAPRGpSobTowfKD8Hb1NqaZJ4RMsFkKjcZSZmZmWvU2DXOVByoWqf6vvzOeSSzuytmFP+/4Mzbu2ijWd/q06Xh42sNiXf2U0nxsIy010uSS6rNiG3liNyK1OYj46kshEEn4ueg6d8cSehcFdMoAtCn9EOjmiaImJaq9k+AxMk4SfUL8BULnHgiVwg8Kj/6nQ6kznERsTEwM7DFdpKc6wZ6mi4wJ9zVOFTEIwhAfni7CMMzQgMUiY/M0897SvaIOcVveNrTqWkWk629z/iYiX2R/Y2vi4+Oxd+9eMSmlv1E8c2JxIGbf5HNINYtJSUl9ul52fS62lezA7sqfURVZBu8Cf0wJmYtZEbNxRfoseDUVQJa5Cag5ayIOcwBVbceNeATCUx6IBrknWkPTjGKwzT0AuvZDOq1zD4Be4WmsFSS7oP998AGSfJMwbcK0c6Jves3AfBapXIDS3dZsoDGdLmI6Y7jYpE6wp+kisxODjalhni7CMMxwhMUiYxPy6vOEQNyYsxGlTaWI843DreNvxfL45Qj3ardEGSSoi5cESFFRkUOJRer6pY5WmbsvcqtVqFPpUKfSth+2H2/Rob5Vh6rWUlS77IfK4yBkbmWAzh3BDRFY1piE+apa1Bd/gyjZB/A+2JEGrZAFoUwRgSq3aNR7T0JTWAzUviPQ5j8Snr5BOJ15FLUVxViSOAc+Sjm83Fzg5SbvMRpG60j1kgUFBZg2rbNYtAYkFql5x9J1NZ0uIo2Y62gcMYhCqiM0N12EmkWEwbRJnSBPF2EYhukMi0XGajSoG8TIPfJEpBF8NIuZum4pzTwueJzdOjWVSqVIa5JYNGv0bINRed1R26zGnrPV+DWnCjsyi3BWNRnvfEPj86QRegStkq+7HD6eDXDxOQq1cj+aPAvhppdjjlqJVVWtWFSfD1ecgkrujQJFCP582hUP3X439vonoFQRiRJZKKrUCtQ1a8QoNrHVa1BXRsfL0Nha1H5vkfjvZ9md9tHTlUSjC7yVcni7ydsPJSFJx2tdR6K6qhCKw8UI8PESwspNLhObi14HL/c2KOk8BZ3nAqVCBlcXWa/PP0UmSSxOmDDhnOkipv6BhkMSh9RZbIq/p6sUAfRzx+QRVCMYwdNFGIZhBgiLRWZA6Np0YpoKRRG/z/8emjYNZkTOwHNzn8OCmAVwVziGfySlen/44Qch8qwxos/SyGJNkyQO95ytwq851ThZWi+mO0YHeCBGqcUI7zIsnp0OP3e5mJ4h11cio2wjfqrag6PaCij0wNzmZixtasYcjQvkgclojZ2B2uBUtAan4mB2BTZ9/TU+/XkdVt2WhKuWXWXR/mt1bXjno/+iqqEF46dMF/V4ja06NNKhuk0cb2o/pPMqmjQ4W90qXd7qhkbNCOz+hWx/JOuf3iCZaCoeSVgq5R2Ckg5JaJbWROC7Iy54eO824TXYPoxH4EPTRdq7hqlZ5HyaLtKlTpCnizAMw1gfFotMvzhbd9Y4m7m8uRwj/Ubi9vG3izRzmJfjzQ8fPXo0vvvuOxQXF/dptF5vkcWuYtEgDilySNvJ0gZxPonD6fFBuGn2SEwbGYiYQE+8/85b8FXmY0JzMX7J/xUb1QXYo5DSyNNUajzmEoiZvmPhFjtBCMNK3xFA+0hDA3pUYOvWreL4k08+iSuuuMIiKxyqt1PoVAjzlGFMaN/rRj/++BN4eHtj4eKlIgLYqtOjVaNDU6sGbZBD3aY3nt9xSF3bbeKwtZvD6tom6GUuGBcbiOhAry6dwx5iAgnDMAwz+PCnL2Mx9ep6bD67Wfj3Ha04Ch83H1ww8gLh35cWnObQhsBBQUFioxF51hSLjRrg0PESETU0FYcxgR6YPjIIv50Tj2nxgYgOMLGIUTeh7ccXEFz2T2zxdsMT5R5Qy2RIk3viRkUC0vxmQ+49BnCR47ThOjW05Z+zHzt37jSO/cvKysInn3yCq66yLLpIXcfk8dgfoqOjxDQXMoMO8vI0ppE1GrkQ0P15LXz//fdwCXHBDZdP7Nc+MQzDMLaBxSLTa5r5l5JfhB8ipZm1ei1mRc7CC/NewPyY+VDSjF4ngeoV9+3bJzp6qVHDUrRtelQ0alBSr0Zx+3amtB5ZqhSsf3W/+JvY9ska3YpD4w21Agf+A/1PL+CfSi3eDvNHaKs3kqtHIKp5BDx1nkIT/gyaZd37PGsSZx9//HGn8/oSXVSpVAgICEB/GDdunBCLJFStUQdKaX3ywpwzZ86Ab4thGIaxLiwWmW7Jqc0REcRN2ZtQ3lKOBL8E3DHxDpFmDvHsny+gvUlJSRGROJpA0tWahWr2hBCsMwhCDUoapOOlDWro2kz89bxdEeCqQ6hLEx5aNRWzk8IQ5d9DKlenBY5+Auz4G9rqC/H3pHR8qC7G/ZPvxxWJV/T78dTV1YnO5K7G2uTdGB7ee8f5QOo3qaucprnk5ORYRSxSYwtNlBk1atSAb4thGIaxLiwWHYQtGaXQGBSJnWjRNuBIzQ4cqP4Ohc1Z8JD7YHzAfKyOXYIoj1GQtcmw5wzZkBTDkaGmCIqaubs3dBolTOdXuMfgvweK4FWoMEYJKWJIVjUGPFxdEOXrhghfN8yJ80WErysifd3EFubjCle5C06fPo1du/Kwekqs+Sgl3WHmV8D2p4HKU9CNWYEnxy3CF4U/4LEZj2F10uoBPU4Sa/fffz/sBaXzT506ZZW524WFhWK2cViY49W7MgzDDHdYLDoID35+9Bw/uMFBB7nXabj6H4DCOxOQ6aFrTIKm7mo0NCbjO70C36EJwGEMDcKAGj1Ca2sQ6adEfKASs+N8hDA0CELqTO6t5o6icpTq7VYokkjM/h74/q9AyWEgYRE0q17Dn89+js25m/H07KexImEFnB2yuCHRTCMHx48f3+/boXQ6+TZSx7oj170yDMMMV5xGLFLK7fnnn8fPP/8svlAWLlwooio0+9cct9xyCw4ePNjpvEsuuQQPP/wwHI2dDy4UX5qDRU5dNr45uwFb8r5FlaoS8X6JuHDk3VgSuxRBHo4zk7c/0Do2NTWJ5o2u4oMmprz1xutYOGeuGAPYXyhl6ubmdu4F+b8C3z8J5O0CYqYBN3wNdUw6/vjTH/FjwY94fu7zWBK3BEMBeu/RGlPtItUw9hca8dfQ0CA61hmGYRjHw2nE4qOPPorKykq89tprIqrzxBNP4OmnnxZbT1x88cW49dZbO6XuHJHBsAWpVdXi29xvhSdiRlUG/JX+uDD+QqxMWInkwOQhE9UhsSjTKuDtfm5Xrk9kGGKjI4XAGYhYpNdgJ9uc0mNSJPH0FiBsLHDVp8CoJVDpWnHP9ruwr2Qf/rnwn5gbPRdDCRJ4Bw4cQHl5OUJDQ/t1G9QkQ8J7IM8HwzAMM8zF4tmzZ7F79268++67okmBeOCBB3D33XfjnnvuQUiI+YYLEofBwc4dKRsIZJK9u2i3aFbZXrCdjPkwO3o2Xh77shAurvL+j6tz5vTpN998Y4w+DiiyWJUt1SQe/xwIjAcufQtIvYTm4qFJ04Q7f7gTxyuP47XzXhMzsYcaqampOHz4sKhdHIhYpBS0NczSGYZhGOvjFJ/OR48eFcXvBqFIpKeni3qx48ePY8GCBWav++233wphQB57c+fOxc033+yw0UVrcqrmlIggfp3zNapUVRgdMBr3Tr5X+CIGeQRhOJOWloYtW7aI6GK/au30eng2F2JR8xbg1UcBn3Bgxb+ACVcB7eKbPClv33Y7smuzsfa8tZgUNglDEXoPUlMK/aCbOnVqnyyJDCnompoaLFkyNFLzDMMwQxGnEItVVVXn+MFRFILsO+gycyxduhQREREi8kiF+K+88oqIYlDtY09GxbQZaG1tNaY2+1pTaLjOYNUi1qhq8M3Zb8RUlRPVJxCgDDCmmccEjum0X0OZ3tadZkVTRIzEIglHSwSOS2s93Ev2wqN4NzyKfsGIpmKoXLyhX/wkMPUmwDDWUK8Xz8Ot225FcWMx1i1eJwzLHXnNB7pvU6ZMwcaNG5Gfn48RI0b06fZIZNLzkZCQ4NBr5MgM9ucMw2tuL4bLuutNHp+tH6+lt21XsUji7Z133unxbz777LN+3z41sxhITEwU6ejbb79d2HRER0d3e53169dj3bp1nUTpsmXLhD0IpR77+iS0tLSI47aqB9S2afFL6S/4Jv8b7CrZBT30mB0xG9dPvx4zwmfA1UWKdNH+DxcsWXdqyKDXARlBd1vG0KaFe1UmPEt+FZt71XHI9G1Q+45AY/QcHG0KRkPQBMwduwxQ0TQXaX0rWypx9667Udtai1fnvIo49ziHXXs/Pz8h1Pr6uu4K2eYEBgYazbX78lqnhiOK7pLVEdM/BuNzhukMr7l9GC7rrjH5TKZyKdMAlrUxBMQcWixec801WLGiZwsRMk+mFDKlqro2GNTX14vLLIWiSATZdJgTi2vWrMHVV1/daSFfffVV8YVIX6z9Uex0XWu/sLOqs0Qd4tdnvxaRLIoc3jflPiwbuQyB7tIX93DFknWnWkWqOczMzMR5550nzpM3FsOj+Bd4FO2Ge8keyNUNaHP1QUvkNFQl/RmqiOnQ+khm3hnffosImVsnf8HSplLcufNOtGhb8J+l/xHzsh3dYYBEXtf51v2B3p/0gUZ2Ql1Nws1BDWsk2OfNmzdgn8bhjC0/Z5ju4TW3D8Nl3dUm4tDwXWUrLP38t6tYpNSyJePGKApE1honTpwwTovYv3+/GNtmEICWQLNziZ4aXuhJMX1iDAtJL8z+vDgN17PGC7uqpUqkmakWMasmS4jCFfErRJp5dCDbjvRl3WV6PWanxuDodx/C66fd8K86ANe6XOhlLmgNHouGlGvQEjUT6uBUwKXjbSLr0uBiuP2C+gLcvPVmcfo/y/6DGJ8YOAvWeG0aPsT78nqnMgD60Kcu6KH8wT8YWPNzhrEMXnP7MBzWXWby2Gz9WC29baeoWaQvk5kzZ+Kpp57CQw89JKKKzz33nCiKN6QQybqDUsxkqUMCkiIWmzdvxqxZs0S6jWoWX3zxRUyaNMmpRoppdBr8VPiTiCL+XPizUCsLYhbgzol3YmbUTGOamemB5mqgPBMoo+24dLz8BFLUjaCWqab8IKjiF6B20p1oiZgGvdK315sksWiINOfU5eC3W34LT1dPrFuyDuFevY/acwQoAnjs2DFkZGRY5fbI05TqFinKaEkdDL2PZ8+e3eemGIZhGGZwcQqxSPz1r38VAvF3v/ud0ZSb7HNMv3ioecVQ+0RfhHv37sVHH30kahyoY5Ouc9NNN8HRoS9aalChRhXqZqb6t9SgVDww9QHRzezv7m/vXXRMtK1ARRZQlgFl4SGg5owkDBtKpMtJWIeMBkJTgDHLgbBU/Hq2Ad/vzcRlk1f3qUveIBapHOCW724RUV4SisFOZGh++eWXIzc31yq3RXWZZNJNaei+FGNbY640wzAMY1ucRixSdLAnA+7IyEiRmjYQHh6ON954A84ENUeQOKQo4uma00J4XJR4kUgzjwpwnmiozWlrA2rzOqKF5RnSYdUZQK8TqWKFbwwQnirZ2ZA4DEsFghKN1jYGxkU144f9J0WJw8SJEy26exJDVFNS1FaEB7c8iCjvKLyx+A2nE/H0A8qas5hpXQxzoodyiohhGGa44TRicSij1qlx34778HPRz3CRuYg08z2T7sHMyJlQmNTLDdsUcllGuzBsPyw/AajbO4xJoJEQHDkXmH4bEJoKfegYNGlcpKaJXkQLRcOoNIGMpal8wZJiX4pil7uVY1PeJiQFJeHf5/0bvm69p64ZhmEYxhkZ5krEMXCTuyHEMwQPpT+EpSOXwk/ph2GHRgVUZnWOFJI4bCyVLpe7AcGjgbCOFLKIGPpGnisIKQ2qsdyuhuph9+3bJ6KLvc04zm3MxRd5X+Dn8J+R4p0iIopUq8gwDMMwQxUWiw7CYzMew/BLIWd0RAtpbJ5eJ/2Nf6yIEGLi1e0p5DQgKOGcFLK1IHN3SkFTowfV0HWNLrbp27Cvah82FG7AkdojCHANQHJtMv48488sFBmGYZghD4tFxnY0VXVECY2HJwBNU5cU8jxg+u+k4yFjAPfBT+nOmTMHhw4d6hRdbNY2Y1vpNmws3IgSVQlG+4zGA8kPYILnBHzx+RdQyvvmu8kwDMMwzgiLRcY6KeSKk53rCkkYmqaQRRdyKpCyUjqkdLJPRK81hYPZQEW1i2Ql4zfCD1vKt+C70u+gblNjVsgs3Jd8H8b4jTE66jMMwzDMcIHFItPHFHJue4TQRBiKLuQ26W/8R0gRwonXSIKQhKENU8jWbDLSJmjxQ8EP+ODgB1DqlUjWJCNVnQqvOi+cOnMK9I8gM3iGYRiGGS6wWGR6TyEbjaxPdqSQPQIkIRg/vyOFHJoMKH3gLJDVS0ZVBr488yW+Pfst6tX1SAhKwKUul2Ki+0S4yswLXBrBFB8fP6j7yzAMwzD2gMXicEfTYjSy7hQtbCzrJoW8qj2FnAr4hDtMCrmvlDeXY1POJmw4swHZddkI9QjF6qTVWJm4EvF+LAAZhmEYxhQWi8MFSp3WnD3XyLo6+9wU8qTrOoysAymF7Pwvk1ZdK7bnbxeG57uLd4sxiQtjFoqpONMjpkPuIrf3LjIMwzCMQ+L8KoA5l6bK7o2sNc0dKWSyo0lYCMy8Q4oWho5xqhSypWnmY5XH8NWZr/Bt7rdoUDdgfMh4/Hn6n3F+3PlspM0wDMMwFsBi0elTyCdNGk6OS8ebyqXLydqFUsgUIUy5qKPhxIlTyJZQ1lyGz7M+x+aCzcitz0WYZxiuHH0lViSswEi/kfbePYZhGIZxKlgsOl0K2cTIujqnI4UcECcJwcnXD7kUsiWotCr8kP+DSDP/WvIrFDIFFo9YjIenPYz08HROMzMMwzBMPxkeSsLpUsjHO9cVUvTQmEIOlIRgwiJg5p1SOpmMrJXeGG5QmvlIxREhEDef3YxGTSMmhU7Co9MfxazgWQgPCIdsCEdQGYZhGGYwYLHoCNAs4w8uA0qOdp9CTrukI1roHTakU8iWUNpUio3ZG4VIzKvPQ7hXOK5KvgorE1ZihO8IISIbGy2fDc0wDMMwjHlYLDoCJP4ojRw5qaOuMDB+2KSQLaFF24Lv878XzSp7SvaIUXuUZqYo4tTwqXCRudh7FxmGYRhmSMJqxFG48B/23gOHgyKEh8oPiQjiltwtaNI0YXLYZDwx8wkhFL3dhl/qnWEYhmEGGxaLjMNR3Fgs0swbsjcgvyEfUd5RuDblWqyMX4kY3xh77x7DMAzDDCtYLDIOQbOmuSPNXLoHHgoPET18fObjIprIaWaGYRiGsQ8sFhm70aZvw8GygyLNvDV3K5q1zaL+8KlZTwmh6Onqae9dZBiGYZhhD4tFZtApbCg0djMXNRaJNPMNaTdgRfwKRPtE23v3GIZhGIYxgcUiM2hp5q15W0Ud4r7SffBUeIqRe2R3MylsEqeZGYZhGMZBYbHI2DTNvL90v4ggfpf3nbC/mRY+Dc/MfgaLYhdxmplhGIZhnAAWi4zVKagvwIacDdhwZgOKm4oR4xODm9JuErOZI70j7b17DMMwDMP0ARaLjFUgD0RqUvnyzJc4WH4QXq5eWBq3FKsSV2FCyAQeu8cwDMMwTgqLRWZAaea9pXtFBHFb/jaotCpMj5iOZ+c8K9LMZH/DMAzDMIxzw2KR6TP59fmiDpE6mkuaSsQ85t+O/a1IM9OcZoZhGIZhhg4sFhmLaFA3iDQziUQaweft6o2lI5diVcIqjA8Zz2lmhmEYhhmisFhkzKJr04lpKjRV5Yf8H6BuU2NGxAw8N/c5LIhZAHeFu713kWEYhmEYG8NikTmH3Lpc4YdIW1lzGUb6jcRt42/D8vjlCPMKs/fuMQzDMAwziLBYZAT16npsyd0ioohHKo7Ax80Hy+KWiW7mscFjOc3MMAzDMMMUFovDPM38a8mvQiB+n/89tHotZkbOxPPznhdpZqVcae9dZBiGYRjGzrBYHIbk1OaIRpVN2ZtQ3lKOBL8E3DHxDlwYfyFCPUPtvXsMwzAMwzgQLBaHCXWtddh8drOoQzxaeRS+br64YOQFIs2cGpTKaWaGYRiGYbqFxeIQRtumxe7i3UIgbs/fDp1eh9lRs/GPef/A/Jj5cJO72XsXGYZhGIZxcFgsDkHO1JwRAnFjzkZUtlQi0T8Rd026S6SZgz2C7b17DMMwDMM4ESwWh1Ca+Zuz34jRe8erjsNP6YcLR14o0szJgcmcZmYYhmEYZmiLxbfeegu7du1CVlYWXF1dsWPHjl6vo9fr8frrr+OLL75AY2Mjxo8fjz/96U+IjY3FUEkz7yraJZpVdhTsELOa50TPwUtjX8Lc6LmcZmYYhmEYZviIRa1Wi0WLFmHs2LH46quvLLrOO++8g48//hiPP/44oqKi8H//93+488478emnn0KpdF5bmFM1p0QEcVPOJlSpqpAUkIR7Jt2DC+Iv4DQzwzAMwzDDUyzeeuut4nDjxo0W/T1FFT/66CPcdNNNmD9/vjjvySefxJIlS0RU8vzzz4czUaOqEWlm8kQ8UX0CAcoAUYNIaeYxgWPsvXsMwzAMwwxRnEYs9pWioiJUVVUhPT3deJ63tzfS0tJw7Ngxs2JRrVaLzUBra6tRfNLWFwzX6ev1DGjaNNhZtFM0q/xY+COgh0gv3zbuNtHV7Cp3Nd4PY711Z/oHr7t94HUffHjN7cNwWXe9yeOz9eO19LaHrFgkoUgEBQV1Oj8wMNB4WXesX78e69atM55WKBRYtmyZqHnUaDR9fhJaWlrE8b40mJyuPY1v8r/BloItqG2tRZJfEu5IuwOLYxaLiCLR2tIK+sdYb92ZgcHrbh943QcfXnP7MFzWXWOiNZqamjoFsKyNISDm0GLxlVdeEXWFPfHZZ58hLi5u0PZpzZo1uPrqqzst5Kuvviqikn2tczQodrpuby/salW1sZv5ZM1JBLoHYmXCSrFRTSJjm3VnrAevu33gdR98eM3tw3BZd7WJOPTy8oKbm+2aValh2OHF4jXXXIMVK1b0+DfUmNIfDBFFiiIGB3c0fVRXVyMpybz4oifF9IkxLCS9MPvz4jRcr6frqnVqrPhiBVp0LZgfPR+/n/h7zIqaBVcXy55Epn/rzlgfXnf7wOs++PCa24fhsO4yk8dm68dq6W3bVSwGBASIzRaQyCTBuG/fPowePVqcR6nk48eP49JLL4UjQRY3L8x7ASlBKfB397f37jAMwzAMwzhfzWJpaSnq6urEYVtbm/BbJGJiYuDp6SmOkwi84447sGDBAqGWf/Ob3wh/Rvobg3VOSEiIsTvakZgZNdPeu8AwDMMwDOO8YnHt2rXYtGmT8bShrpDOnzJlijiel5cnoocGrr/+eqhUKjzzzDNoaGjAhAkT8K9//cupPRYZhmEYhmEGE6cRi2SsTVtP7N+/v9Npii7edtttYmMYhmEYhmH6jks/rsMwDMMwDMMME1gsMgzDMAzDMGZhscgwDMMwDMOYhcUiwzAMwzAMYxYWiwzDMAzDMIxZWCwyDMMwDMMwZmGxyDAMwzAMw5iFxSLDMAzDMAxjFhaLDMMwDMMwjFlYLDIMwzAMwzBmYbHIMAzDMAzDmIXFIsMwDMMwDGMWFosMwzAMwzCMWVgsMgzDMAzDMGZhscgwDMMwDMOYhcUiwzAMwzAMYxYWiwzDMAzDMIxZWCwyDMMwDMMwZmGxyDAMwzAMw5iFxSLDMAzDMAxjFhaLDMMwDMMwjFlYLDIMwzAMwzBmYbHIMAzDMAzDmIXFIsMwDMMwDGMWFosMwzAMwzCMWVgsMgzDMAzDMGZhscgwDMMwDMOYhcUiwzAMwzAMYxYWiwzDMAzDMIxZWCwyDMMwDMMwZmGxyDAMwzAMw5iFxSLDMAzDMAxjFhaLDMMwDMMwjFlYLDIMwzAMwzBmYbHIMAzDMAzDmIXFIsMwDMMwDGMWBZyEt956C7t27UJWVhZcXV2xY8eOXq/z+OOPY9OmTZ3OmzFjBl555RUb7inDMAzDMMzQwWnEolarxaJFizB27Fh89dVXFl9v5syZeOyxx4yn3dzcbLSHDMMwDMMwQw+nEYu33nqrONy4cWOfrkdRyODgYBvtFcMwDMMwzNDGacRifzlw4AAWL14MHx8fTJ06Fbfffjv8/f3N/r1arRabgdbWVnGo1+vF1hcM1+nr9ZiBwetuH3jd7QOv++DDa24fhsu6600en60fr6W3PaTFItUnLliwAFFRUSgsLMRrr72Gu+66C+vXr4dcLu/2OnTZunXrjKcVCgWWLVuGxsZGaDSaPj8JLS0t4rhMJhvgo2EshdfdPvC62wde98GH19w+DJd115hojaampk4BLGtjCIg5tFikRpN33nmnx7/57LPPEBcX16/bP//8843HExMTxXbRRReJaGN6enq311mzZg2uvvrqTgv56quvwtvbG0qlsl+Kna47lF/Yjgavu33gdbcPvO6DD6+5fRgu667X6/GnP/3JWEpny8dKt+/wYvGaa67BihUrevwbigpai+joaJGCLigoMCsWqQHGtAnGsJD0ZPXnCTNcbyi/sB0RXnf7wOtuH3jdBx9ec/swHNZdJpP1OTg1kPtyeLEYEBAgtsGirKwMdXV13PDCMAzDMAwz1Ey5S0tLhcciHba1tYnjtDU3Nxv/5tJLL8X27dvFcTr/n//8J44dO4bi4mLs3bsX9913H2JiYkQtI8MwDMMwDDOEGlzWrl3byWDbUFdI50+ZMkUcz8vLE40ohIuLC06fPi2u09DQgJCQEEyfPh233XYbey0yDMMwDMMMNbFI01ho64n9+/cbj7u7u4vGFIZhGIZhGGYYpKEZhmEYhmGYwYfFIsMwDMMwDGMWFosMwzAMwzCMWVgsMgzDMAzDMGZhscgwDMMwDMOYhcUiwzAMwzAM4/zWOfaeRWnpsO2u16Xr2Xq2I9MZXnf7wOtuH3jdBx9ec/vA6259DNrGoHXMwWKxF9RqtTh86aWX7L0rDMMwDMMwNtE65E9tDpm+Nzk5zKHRgjQVhqa+9PWXDF3vwgsvxNdffw1vb2+b7SPTGV53+8Drbh943QcfXnP7wOtufUgCklCk9aTJd+bgyGIv0OL5+vr267oajQZarRZKpVJszODA624feN3tA6/74MNrbh943W1DTxFFA9zgwjAMwzAMw5iFxSLDMAzDMAxjFhaLNoTqHH/729+KQ2bw4HW3D7zu9oHXffDhNbcPvO72gxtcGIZhGIZhGLNwZJFhGIZhGIYxC4tFhmEYhmEYxiwsFhmGYRiGYRizsFhkGIZhGIZhzMJicRB56623cOONN2LWrFmYP3++vXdnyPLpp59ixYoVmDlzJq6//nocP37c3rs0pDl48CD+8Ic/YOnSpZgyZQp27Nhh710a8qxfvx7XXXcd5s6di8WLF+O+++5Dbm6uvXdryPPZZ5/hyiuvxLx588S2Zs0a7Nq1y967Naz4z3/+Iz5n/vGPf9h7V4YVLBYHEXKeX7RoES677DJ778qQZevWrWKON9krvP/++0hKSsKdd96J6upqe+/akKWlpQWjRo3Cgw8+aO9dGVYCffXq1UI0vvbaa+Kz5Y477hDPBWM7QkNDxTq/9957ePfdd4VoIaGenZ1t710bFmRkZOB///uf+LxhBhe2zrEDGzduFL+KOAJjfSiSmJKSYhQuNNubZoleccUVuOGGG+y9e0Me+vJ84YUXOHI+yNTU1IgI4xtvvIFJkybZe3eGFQsXLsRdd92Fiy66yN67MqRpbm7GNddcIz7bKUs3evRoIdSZwYEji8yQmht68uRJTJs2rdNs7/T0dBw9etSu+8YwtqSxsVEc9neOPdN3dDodtmzZIqK548aNs/fuDHn+/ve/ixIu0893ZvBQDOJ9MYxNqa2tFR/ggYGBnc6n01zPxQxVKHpOmYrx48cjMTHR3rsz5Dlz5oyoVVSr1fDw8MDzzz+P+Ph4e+/WkIZEOQUCKPXP2AcWiwPklVdewTvvvNNrUXRcXNyg7RPDMMMr4kI1c2+++aa9d2VYMGLECHz44Ycimvv999/j8ccfF+l/Foy2obS0VPwYotpcpVJp790ZtrBYHCBUQ0Gdtz0RFRU1aPsznPH394dcLj+nmYVOBwUF2W2/GMaWQnHnzp1CrISFhdl7d4YFrq6uiImJEceTk5ORmZmJjz76CI888oi9d21IQhFF+gyn71oDlEE6dOiQcL7YvXu3+NxnbAuLxQESEBAgNsYxPsTHjBmDvXv3GhssKEW3b98+XH755fbePYaxGtSX+Nxzz4kmuddff51/kNoR+oyhemnGNkydOhUff/xxp/OefPJJEeGlhkYWioMDi8VBDqfX1dWJQ/qAycrKEufTr1RPT097796Q4OqrrxZpIeqITk1NFekiKkDvLfrLDKxLsaCgwHi6qKhIvLb9/PwQHh5u130byhHFzZs3i/QcfXZUVlaK8729veHu7m7v3RuyvPrqq8K/lV7X9Lqn5+DAgQOiHImxDV5eXufU4tJrnDJJXKM7eLB1ziBCImbTpk3nnL927VphOcJYh08++UT4oFVVVQmfxQceeABpaWn23q0hy/79+3Hbbbedc/7y5cvFa56xPuY+L/7yl7/wDyMbQhEtylSQOCdhTn5/ZI4+ffp0e+/asOKWW25h65xBhsUiwzAMwzAMYxb2WWQYhmEYhmHMwmKRYRiGYRiGMQuLRYZhGIZhGMYsLBYZhmEYhmEYs7BYZBiGYRiGYczCYpFhGIZhGIYxC4tFhmEYhmEYxiwsFhmGYWwMGWWTkTZtDQ0NdjFON9w/GxkzDNNXeNwfwzDMACbVGJg8ebKY02wOuu5FF10kJn8MNuPHjzeOB1Sr1YN+/wzDODcsFhmGYfoguLry008/4dlnn8Xq1at7vD7NcA4ODoY9cHV1FfetVCpZLDIM02c4Dc0wDNMHwWW6UUr5n//8J9asWYPzzjuvT7e3ceNGzJ8/Hz///DMuueQSzJo1C3/84x+hUqnEDHlKXS9YsADPP/88dDqd8Xp0/ptvvonHHnsMc+bMETO4f/zxR9TU1ODee+8V51155ZXIzMy0wSowDDMcYbHIMAzTD0goUv3fpEmTcPvtt/frNkgYfvzxx3jmmWfwyiuv4MCBA7j//vuxa9cuIUKffPJJ/O9//8P333/f6XofffSRiHR+8MEHmD17thCOf/nLX3DBBRfg/fffR3R0tDit1+ut9GgZhhnOsFhkGIbpI21tbXjkkUcgl8vx1FNPQSaT9et2tFotHnroIYwZM0aIzkWLFuHw4cN49NFHER8fL6KE1JRC9ZKmzJw5E5deeiliY2Nx8803o6mpCSkpKSK6OWLECFx//fU4e/YsqqqqrPSIGYYZzrBYZBiG6SOvvfYajh07JhpGvLy8+n077u7uIgpoICgoCJGRkaK+0UBgYKBIMZsyatSoTtchEhMTO12H6Ho9hmGY/sANLgzDMH1gy5YtItX78ssvi8jeQFAoFL2eR1FLimSa+xtDVLO787pej2EYpj9wZJFhGMZCsrKy8Ne//hV33HEHZsyYYe/dYRiGGRQ4ssgwDGMBtbW1ovmE/BSXLVuGysrKTpdT/WJAQIDd9o9hGMZWsFhkGIaxgJ07d6KkpERsS5cuPefyiIgIYYfDMAwz1JDp2VuBYRjGppA34m9+8xtcddVVdt2Pxx9/XFj+UGMOwzCMpXDNIsMwzCBAPopkhdPY2Djo933o0CFx399+++2g3zfDMM4PRxYZhmFsDKWuyVORiIqKgovL4P5OJ/PviooKcdzDw8NuYwcZhnFOWCwyDMMwDMMwZuE0NMMwDMMwDGMWFosMwzAMwzCMWVgsMgzDMAzDMGZhscgwDMMwDMOYhcUiwzAMwzAMYxYWiwzDMAzDMIxZWCwyDMMwDMMwZmGxyDAMwzAMw5iFxSLDMAzDMAwDc/w/UxjeI0OMRYEAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Load a sample lens\n", "lens = TessarLens()\n", "\n", "# Create and set a polarization state (e.g., horizontal linear polarization)\n", "pol_state_H = create_polarization(\"H\")\n", "lens.updater.set_polarization(pol_state_H)\n", "\n", "_ = lens.draw()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2026-03-24T11:45:31.898642Z", "iopub.status.busy": "2026-03-24T11:45:31.898329Z", "iopub.status.idle": "2026-03-24T11:45:45.441524Z", "shell.execute_reply": "2026-03-24T11:45:45.440994Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mtf = HuygensMTF(lens)\n", "_ = mtf.view()" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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": "3.13.2" } }, "nbformat": 4, "nbformat_minor": 4 }