{ "cells": [ { "cell_type": "markdown", "id": "palestinian-motor", "metadata": {}, "source": [ "Tutorial: discrete-based lightweight optimization using the ghost layer method\n", "==\n", "Date: 31 of August 2024\n", "\n", "Author: Saullo G. P. Castro\n", "\n", "Cite this tutorial as:\n", "\n", "Castro, SGP. Methods for analysis and design of composites (Version 0.7.1) [Computer software]. 2024. https://doi.org/10.5281/zenodo.2871782\n" ] }, { "cell_type": "markdown", "id": "military-zealand", "metadata": {}, "source": [ "Installing required modules\n", "--" ] }, { "cell_type": "code", "execution_count": 115, "id": "separate-resort", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\u001b[33mDEPRECATION: Loading egg at /Users/saullogiovanip/miniconda3/lib/python3.12/site-packages/composites-0.7.0-py3.12-macosx-11.1-arm64.egg is deprecated. pip 24.3 will enforce this behaviour change. A possible replacement is to use pip for package installation.. Discussion can be found at https://github.com/pypa/pip/issues/12330\u001b[0m\u001b[33m\n", "\u001b[0m\u001b[33mDEPRECATION: Loading egg at /Users/saullogiovanip/miniconda3/lib/python3.12/site-packages/fea-0.0.1-py3.12.egg is deprecated. pip 24.3 will enforce this behaviour change. A possible replacement is to use pip for package installation.. Discussion can be found at https://github.com/pypa/pip/issues/12330\u001b[0m\u001b[33m\n", "\u001b[0m\u001b[33mDEPRECATION: Loading egg at /Users/saullogiovanip/miniconda3/lib/python3.12/site-packages/docopt-0.6.2-py3.12.egg is deprecated. pip 24.3 will enforce this behaviour change. A possible replacement is to use pip for package installation.. Discussion can be found at https://github.com/pypa/pip/issues/12330\u001b[0m\u001b[33m\n", "\u001b[0m\u001b[33mDEPRECATION: Loading egg at /Users/saullogiovanip/miniconda3/lib/python3.12/site-packages/coverage-7.5.4-py3.12-macosx-11.1-arm64.egg is deprecated. pip 24.3 will enforce this behaviour change. A possible replacement is to use pip for package installation.. Discussion can be found at https://github.com/pypa/pip/issues/12330\u001b[0m\u001b[33m\n", "\u001b[0m\u001b[33mDEPRECATION: Loading egg at /Users/saullogiovanip/miniconda3/lib/python3.12/site-packages/coverage-7.6.0-py3.12-macosx-11.1-arm64.egg is deprecated. pip 24.3 will enforce this behaviour change. A possible replacement is to use pip for package installation.. Discussion can be found at https://github.com/pypa/pip/issues/12330\u001b[0m\u001b[33m\n", "\u001b[0m\u001b[33mDEPRECATION: Loading egg at /Users/saullogiovanip/miniconda3/lib/python3.12/site-packages/setuptools_git_version-1.0.3-py3.12.egg is deprecated. pip 24.3 will enforce this behaviour change. A possible replacement is to use pip for package installation.. Discussion can be found at https://github.com/pypa/pip/issues/12330\u001b[0m\u001b[33m\n", "\u001b[0m\u001b[33mDEPRECATION: Loading egg at /Users/saullogiovanip/miniconda3/lib/python3.12/site-packages/structsolve-0.2.2-py3.12.egg is deprecated. pip 24.3 will enforce this behaviour change. A possible replacement is to use pip for package installation.. Discussion can be found at https://github.com/pypa/pip/issues/12330\u001b[0m\u001b[33m\n", "\u001b[0m\u001b[33mDEPRECATION: Loading egg at /Users/saullogiovanip/miniconda3/lib/python3.12/site-packages/coveralls-4.0.1-py3.12.egg is deprecated. pip 24.3 will enforce this behaviour change. A possible replacement is to use pip for package installation.. Discussion can be found at https://github.com/pypa/pip/issues/12330\u001b[0m\u001b[33m\n", "\u001b[0m\u001b[33mDEPRECATION: Loading egg at /Users/saullogiovanip/miniconda3/lib/python3.12/site-packages/pyfe3d-0.5.0-py3.12-macosx-11.1-arm64.egg is deprecated. pip 24.3 will enforce this behaviour change. A possible replacement is to use pip for package installation.. Discussion can be found at https://github.com/pypa/pip/issues/12330\u001b[0m\u001b[33m\n", "\u001b[0m\u001b[33mDEPRECATION: Loading egg at /Users/saullogiovanip/miniconda3/lib/python3.12/site-packages/tudaesasII-2024.3-py3.12.egg is deprecated. pip 24.3 will enforce this behaviour change. A possible replacement is to use pip for package installation.. Discussion can be found at https://github.com/pypa/pip/issues/12330\u001b[0m\u001b[33m\n", "\u001b[0m" ] } ], "source": [ "!python -m pip install numpy scipy pymoo composites > tmp.txt" ] }, { "cell_type": "markdown", "id": "returning-value", "metadata": {}, "source": [ "References\n", "--\n", "\n", "Riche, R. Le, and Haftka, R. T., 1993, “Optimization of Laminate Stacking Sequence for Buckling Load Maximization by Genetic Algorithm,” AIAA J., 31(5), pp. 951–956. https://arc.aiaa.org/doi/10.2514/3.11710\n", "\n", "Castro, S. G. P., and Guimar, T. A. M., 2010, “Comparison of Free Stacking Sequence Approach versus a Predefined 0 / + 45 / -45 / 90 Sequence in a Typical Aircraft Wing Optimization,” 2nd International Conference on Engineering Optimization (ENGOPT), Lisbon, Portugal, pp. 1–11. https://www.researchgate.net/publication/233406751_Comparison_of_free_stacking_sequence_approach_versus_a_predefined_045-4590_sequence_in_a_typical_aircraft_wing_optimization\n", "\n", "Schläpfer, B., and Kress, G., 2012, “A Sensitivity-Based Parameterization Concept for the Automated Design and Placement of Reinforcement Doublers,” Compos. Struct., 94(3), pp. 896–903.\n", "https://linkinghub.elsevier.com/retrieve/pii/S0263822311003655\n" ] }, { "cell_type": "markdown", "id": "harmful-catch", "metadata": {}, "source": [ "Ghost layer, or free stacking sequence, or \"T-THETA\", ...\n", "\n", "based on the same principle of creating dummy layers that can removed or added during the optimization\n" ] }, { "attachments": { "da35b5d6-d7f1-4799-8193-25b63c092982.jpg": { "image/jpeg": 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gab0nWVhiDDyJDPVYR7rDwwi0UiddiErmNhCyC8PqfYRJZBSF18l8jeCwscRv4u9eev1p5rtWIEuWoAfQZZ6jgdJeJXjCpqeh5pL7YN1QQl1y21VUi06l5vrLNLr5Jl5D7XVYAqTUKuHFTtfXkhzJWGAIvC5nasIJa1gjbRuH1WAS4tYYs2YidFjE7JQwJbReD1PsokNDXl1sj1vMokNBnlgiXXZxbvqEFWTMH6be/LTB8dJxDqHOuxBdGYVZM7LQu0ZFShs4QXYMw+ovEcBzYctqdH6CzSq+UadS831GBbZeFXSji99Z0RovDrpdRBjrlp3UjKd6Vr6Usdhh1Lq4eahdCF73ye8znCrHGz3Noj5x84jOaSCMDl2TUTLDAcFTIMxshE7RULIFSgxpg3F6VJ0rUUJIElOh9hElkK+sGQ67ELccwOUbLwuuwQXYj4+c0SidU+E0RiVye6Nl/S3wZ74MF2xsT1CwyxpbFJ0tI3fK53oUrSU8agZxmBvET4zmaVrficEPDpIgsyZh9s+I4tDrxficXrJMrrZFl1D7XVvXnidcrGuuzhtk4deMJNDvpHW0vN1B7cFzsmw7RqFWjDrivFxtLrfK4vOVheLpwlebpUROcuEI+edjh43ZpDbhSO5VyDD6JLPbPQHYMkfPaJROp9lEhoGLcER+t1lt/XYI65YPJVpWvpLN/aS6d6Vrs2QM7KwCcaNw+060l9pC3qTKYfbktdryx9KqmRbcS6j482G0Qi1aW5BkfSEILZKHTpq9xe1YYDgmXCmNz4vadZQ+242/S5LEhuUz2pEdEpkW+uukfkWwc7tAsg2UgfSWaE4OkwZjZCJ0PPIjtQpjc+N4rRpxA1e6qZ7bjaXm46lU4r2zAlsvDBFntP8Ax9689Dl8rnfpFJ0tMdSqeW6DDijxRppLDfQcENmoFaMre7hUYyXg1Qi76e3tlG3PkHA7ZqBVy7spr6QuMaLwKuUd1vwsJfYyMAEcJh9VoCqmNAjTZqH0K89a4oe3v31iz31iz39i1nHS7WMWr1vWdh4bNgzWyET6SxCX0PhirZmB9JYwi52q+cQai735aBNqMlOwcjOV8jFlNzI/aWjS0hprdWKc1CcVbBCdLvgdGbvcRec2y15zSQzmkhnNJDOaSGc0kM5pIZzSQzmkhnNJDOaSGc0kM5rmpzdxdTiL4M82bQKf22829rvTy8MYpp5D6Jra6iTadS839JYBbsKSKJsl4XU88iM0MJNFY2LQlxC0u0qW06h9vtSxsWdvl4ZiQA1G0RWWs8u+4yh3T1cGP45RB3ny6XjZ5WmLnMBmNnPLDeP/AMQoDeavwfGbmHfzmMXvGTEGRvStK6ZcJic27UFQ1vnZUNmnWBqO72/ds+6777yIzKb4G3ibyFVtNsEKxs+NdxM+MvNOo30TW91EshenEdEiQ3FZbakW95ppLLfg+wiSzCdXUCfytq1rNvt6zW9b11raQ4l+KunTGowwwxurid49Tg72t0KAnOTFozlWdrOBHY+e7ssDE3qK1g47BLZvXnqVURkp/tkf6C6d/evPUNtoBZNwYy9LAjXMXVBLmKo4ZWboQjOQ4Ws5HZzkrWcObWOAS1gyHRJ87SXbQltHQSGsFYgwq/XX9b8+knHLuSfZ2LPZ2LPVZI+caNIzj5bOOGFZ52OZnLxJ/OTW95ya1nKjrecFMt57KxIz8Nlz8Nlz8Nlz2didzl4k9nJyF5qkQM1SRWRYzcNjsKTpaZQeXXZIY9GNtdSkJXpkbFjP9g+kppoHYmDKPG9p/GOTv1J758Og0PrBpU5nsHwjZuJWzTkvxsxNcOMGFoEQOqePjk40KbIqcnW/PX0hutalugrDuc58C519xeVm6pm68LXG91XgEj3YVTiW9IkNOb71jEP/AJghlk3D7FhAqnKr57RZvFjGHCHUYMMh44JiftRCAySiCiL9ck/Sn6+kugCfXId7U03BHZu5Kmb9Fnn5ynMezklO85L2jI9RUOVSZUl9GEU/kgBzaRFKi1JRTUihjvx1cq9Ma3jtx/G4DPtHNdszCeAz4E5klF7B8AqU5XzqTDHUWKsiIgYS9Lk+BQWwXh1oi9FlfSnQDZlsCfWt7pXYBje5V2GtK4ueIZyySn5CqAqDiU6TrxLmowWNGES7M+22lpGL16k02MsiV8ImvRffCsfqb7e9eepDD9OmQ5jM+P2LAFeS+EMtGoXQ66lloUwqxEOi4wl6YgTWyMP6U4BYNsDbA+Mk+fn47155qrCdZGgx4Ses7V3SREO0Qaa8a+A0D14JgMJneA0xGrpiNcIE2b21J0vUuHIqMmDPZJRvH/GaVpWvEyNeDThhNgtE8bQ+uY5HYRGZ6FJ0pLO1U4v8/wA/LPVrPVrPPoIjY5WNFnSqk+lWlp+M4yh7G2G2e7vXnqaMk1mQMKMFong80l9pVclC1RLVpt1K9LT4EhcivyxZWOXieGoDGpnVYRmiwiqEdkgfw3JLTWtnByd7sYvWbtInWO3YOznPLLucfNv5xOyZ+e0P5wqxSc5Rkv5yHC3j9AgraiBokCdyLD1rlwtGz3FnhZzfJi5EuImZj7EclFGvOVYp9MSByBMkKbjm43jLhMTmlgZobcG1MOuefn4FAz4mYGNMGovZXUHWZHBD7ecMsms9hZk5+G1Z5WtGe8tDecSsucSsucSsucSsucSsue7tDmeq15/yveexs72cvGnc5QkqzkdlechQMboghOaqQhOtVcTrNV0YnGhsRjPLy7BAcwUjJ4rUsFmIphjwmBoM/S6U3HUchHPYVEo+RG/TGa857kFYmyvTPGRiTWx5OvYLsUUp4Ga841IB2Jov2y5d9+W0lSW+zPnsjYwVU8nL7CzLWi3Z8/ApVG3nhllcblfWHq8grgSwrdf6SoCIVz3JWu4OLxSrZyuIKbG2dTD+t+fYOmHUuhQzQeN2Z05kdGgQXrFK7B8xwqNXw/DI/YVv06FOLNnfAsIjmYosjJBz/hNPtyE/JOgWTbAM68iT1ICw252ERkYqx6CtU0KMxTLHSfM8MZAheGNdmdNaHRoMF6ySta8uxJfRFYr0RZOR2T01wnJhQ24EXxMh2TUICZdjyPg1r+3nPlGwTBuOFNvRZfZKVZD0iDaHIbyVaVrwkyERWK7GWSldp+O1Kb/x2TjijRRptLLfYPmtxMBhkiI3SeBtG4taNOSu1YicgRAB2uEb6in9JdPlmgjBuKCNvRpHZmwGCLC65PCbCWNsovJ0FojGbbS0jr888+5DGMQXuxIQtxgJX0CdddmFPKUFLsmoPRtWtY4QitYqyikZzWJxs8LnYEARJ+kkylY3CnMEI/jdv6dGv118s4EZNxQBp9MnqLmuDqjSWpjXgdryC2o1tWMXzoGxd3DI1u9w15zZNczmIwrOLWJzP+Uv5wI5Izkr8mchwc5EhZye8znCbFHz3Foj5x09rOZSrWavUVvG7sGcxNpEqxs1AdxD7bvTveta2Wg6zRaDvOIRc9/Gz38bEzGF5pWt9koy5Vian9yoHD7K9nLxlzOT3nc1Qh+8ao4ZrE1gSjOADck1YVKQFrEYFJLWofAyphpMaZ43tv8AJWobn5IhO0filJE2CblbJSty/k2ACgzHrx/czfStGnEv12QOfj2r2zrbqHkY40h3XC4eIHxW96TrXe2nW8cGxHsVXRiscqAdzF0MSrOStIzlYgjOD2FjAyi3qt7L0iFrhbWtvV/GlVJ1zkcNnI4bFUUMrN0IdrOSUpzlOY3nBbA3ntLQznvbOxnGz6c5ukxsYu4h7NGhc/URSqgW7Ft92kmBHC48Xos6PyV9Rl5wKFCsBImL/lX+euQ3E42fZwdbY0yV8ewgNFEV09xNHVIjNSm11uSNVGtXt3W3Uuo7LTyHk/CU0hfRvfloOfjmddT8CNKx+pCn9ExbJaEJH8Lh9a0aWmLEZhNdBKN7wfTK6sPG8CK9MXjDJHYqBXfXZyHyLGDXK2BPNGmOuTFaltOVqQNWxaVRXGX0SG+r/OPB5gJ4TYoxPfXYHZseELLRy0fu2AAp5YA2g3D+U7FafV4E2EjLd8mxDHokoUVYMQ+w/HbktvVhyC4xaFw3GnkPo6iwCKW17wtX8GmIhVHUSrqvcQ7Rpt3StK10SWNSWNPEaxuASjk2Ok2JkD5ggsyZhfLdMHtuDAUt8j8orBdrU2DOaIxey/Hbktu1l6Atq0rhuMSWpTfURq8Wa5xEsDwcehFOqZBYntbDkQWxNiYJK6PLJ1YT+ZuyyBq48pqW10FhroCaOIMlInxeMp0d+g3rW9Soz1Plw5jU6P2nWW323ak209r9NdZGtwSWMwDYxzqLAYxdMctLAyEr0tPQ42l1Eire3dbssgaqNMZmN+H+cmMLp5Bh9ElnvH0ztjgN7YnZrfn0W7Xs5v0Kk6WmRDk1GSOJRysb5kqK1MZaGkAEnqcbS6mTVEIc0eICMglIpJGPMokNQHF1Mp2PPNuoTm5jCc4jFziMTETGHPA0NYDlEOzqhkOW1PjeFtje6rwKR7sP9ERByREkKcYNx/h+fljk+MzirELRm7WJTnOAfOcA+c4B85wD4m1CVZqyit5zGLzmMXnMYvOYxecxi85jF42bHvbQ+25m9aVp2swVy/AuKZMwa2Vebe8S6jP5uEWGTnKUtzOSU7zkOCrNUETrNUUNrOSA2ckhsXRQ6s3RmW8NiJkODXlHpo8MMQHHeExn3ESivbdrbz7cdt68B2VjS0Uuz9AZr72pYKxIKb7C3UN48fGx8evIdrfPkNWc5OLzmYovOL2FzPyWl7OGWR7OViD2aosVeNUYM1iasJTia+MRnBoGcGgZwaBnBoGKrwxebrAnecrCc5WE5ysJzlYTnKwnOVhOOVAQ7pVBEbzkdpGcrEGs4XY2M99ZYWau6I+yrwyyNVk7xmJ3ZFdW/a9a9OugGdaBCotbkGVsD40ZsmzqvWLF79KayVcMi/nHK40XzQmxIzhlkzhlkzhlkzhlkzhlkzgZ9zOUJDuIoYzGaoJYxqDGY15fN2nStS6yLnZApsUWR+GCqzkc/wCF8/6nWWIkkSIrjLYQBHnRpn7gsg2SWk4aBRzzLVFFoXChMirv+4y0GW1Yf/OZW1QQ8oabhF0/uKwvy4lwNFxT6Gd721+4XhTD5H2rPq/9joPFrI5FMTgs79xV6Q8OasdkbnhoPnuF+4eDs6L7Trf/AKVyS5AwSEkSMc7+4X/0ZoCm+AKFv82fuKdTYMp8aGJD5n/iBXn6Q1rc1PNV1Rd7kWNnIcHOQ4Ochwc5EiJzlGS3nBT7OeVpYzjZ6PnOyWsYu4h7I5iDL8ZoInIlcuF85cL5yrPXnJit5yO1vORY2cixs5FjZyLGzkWNnIsbOR2dZyVrOS85LzkvOS85LzkvOTndZysQRnBT7WedqYzi9iazmcm3nOa0ZzzH1nPw7Ofhmc/DM5+FZz8JzV7DbxN1DKxFqEuY0Ygv4lWla+uuVa4xGq1oIKY7T4+NJ1IpwiTkSntQJXzvLPLPxpz8KM3FZ3ihsRWLr41zHacHe0qhwUZy+Zh57yzQ85pns5zzHbyJbRMzELS4n5TRCO9K7xVtVYLNOpeb+23rzyWCHzsXS9RVe8sIjBttgEF/BNzpI6IItMAxrphtJj37vSGESmAj7leJ/dEwkIuikrWjXwbHRkEFiCpoc+MtGpUzxP69lZfDS0733LAFSag1kyoix90dTsAaQvS09uWZgwcdvQ/1cfNS8/BaJWcvmnM5YJZPosmfoQxKkWPxvevQM1vz0TmyLAUNAmao1rfnruWMa9FkiibJeF9QpWkamXOG276bIW01SHcTr0p7k2G3Pi1WY5Dd65MxiE2/eIPr9/YyOcqTZuRKeJiY0w2wnotxpQ2IDDtBYPje2/yVo8ZVCBgA6Ao66I0utC1bUM/z3ZrS6gTadS+39Ktem0zLghb2q5PNKhDow5rwUvSEvXmDpxu9wPXHktSmu1ZQzkxIE0g3B6S6TMiTFpUT1sRmoyOw3Wph49r9NeNmZ/OAq+12Ajlx/wBaFp9YeqTdD9rt0qXgUogyO7UhhElkW+urE/o1uJbTLuCXXUVqaYVDgxx7XRblrlvxIbMFh5huQ3Ohrp0pl1L7XaNwXgc6BPZJRfiPs6kMhg7ISFlrgyiQYa06xAs0Rcy5x4zcRiia8ofbMiWTMGuF3m3/AKB+Q3Gbety5riKtLKqiQmIDMojFg5zELzmIXkeS1Lb8LGr21kJEWhcGHJ95FNzYMWFSX16hdrevPT6FU0k3MYdX8iez/wDYGVcnHFCxJHZSF27ED4szXT3FG/mkbIOF5x0uZxmm6kOMR24zfhdRfvrPwBys4PEASkaFAjjmvAsKZMQlpnyyL0CxKeG1bTUqt/pYe3JjNy2JoZQSeNsrsaR8dcJhyVjVNFtzO7YQbj7gE42ai/JlTmILa7iqYrgZgxg6sjhfVYk/8pwnH5TJpVpWvGyq4Yc1vz1lb/Ww5fSMkcK0TIm1FB0mqtJ36tdc+AyTirb0L2zOl1FbD7clr6Y6FeYlBDTJuJ8VyzSiMwjYIIhPFTZzItMj/kbaQyjrnB250/C8HRIZTZu5gHxIwGicMWbXXlTrYNixKgPdiDsvkf8APXaXATBAXzXnWYJKK6x2J8BglGbfdq7jkCVWVii8YzG+mMh5A+YGMsGonw7U+U/CLrZncIbVRwzfdqX8gh0SIrMttqujWHPCXFbmxocRuDFdaQ+21UxTD/ZlRWprAoWQBEC1edjyAJ5o0z9MYDPjpYYywai/BlNLfjcOskTPcWlvOK2NGceOIzmUrrOap2s5tl5zg/nOD2c6bTnPkJONXgO7jB8bJxLiV6x5vTzQCuNgV+EsvCg6dvQ/1buLzeh5BgpF+EdAOOPgbA2YR9MZCPw5QQ2wbjfL8vPHYEZ/T9UEv4qiQE75VIM5wawozhdkzhNj3nKMmVkWmiYmNMNsJ8sHC44tHwz1e3NXXz3FUfTGwb0eUDOMm433dhBuPuADjZqL9MbBvMyQZxk3G+7PDHh0sWTZLQvpjoR5qSDOMm4v3c5pdRJMvIkNfTGwDqZAKwsmW/unmUSGojq6eR+nN1tsk4DMS1SvuiQ5krDrxB4dL+ncWlpHPYXN3wNm78LznqNvOd05ztrOdtZzvrOeG856jazn4bnP4vOfxec/i85/F5z6P3nO6N5zZMczjx1zPeWdzPTanM9jZ95wyybzhdkzhdkzhlk1ntrQjPTas9Nqz02rPTas9FqVnsLMvOBnVZyyTXnKEjecnOZyc5nJzmcoSE5y+Zaz2Nmbz/lSM91aU57+zZxCzZxCzZxCzZxGy6zjdgRnNc5nNXyEjGLaIkYzLYk66bEE4xFrp3iTf0/tGM9qzmkJT2PLWeWs8tZ5azy1nl9IpOlakAx8rHqMKc3yc6zmx9jiak2U2N0n+Jr+J/idiP4mRt4WLsT9gyujI74P/8QAQxEAAQMBAwYLBwMEAgIDAQEAAQIDBAAREjETFCEwMkEFECAiQlFSYYGRoRUjM0BQU3EksdFDYGPBNGIlgnBygFTw/9oACAEDAQE/AeKS/kE2gWmr05WAAr9f/wBfWmcpd97j/cMrnPtN+P8Ab7ryGdKzWfR+1WfR+1xt+8mLPZHIXObSq6NP4pmQ2/sH5C35DCm3UO6UG3kKkNI2lU1Ibe+GbfkHJDbRAUfohSFYiskjqpTSLMOOFzlOOd/HNeLaLiNo1GbQ22AipEa33rWhQqM9l2wrUTXVNoARiTZWRlo0hy3wqJKzi0EaRxuOBpJWqktOTOe6bE9VezWBs2jxq+5CNizeR19WqaUVynOoWcklU5V1OhH70hCWxdSOOXat1DG40mFHTou0lCU7I170olWSY0q/amoSE85znK4lG6LTQmPOc5pu0UOFQDdUimnQ8i+n5aQ+GE99BuW5zlLu1dmNabb1MSUvc3AjdqHlXG1K4lm6kmoAsjgnfp45iFPyktDqptsNJuJ4oWhTo79ROQpSApO4217QaswPlUFRacLaxZe0jj4Q0oSnrIocTqAtBSa4PUVR0k6jOZH2qiyrhWpSTpNNTWXVXEnTxylqdWIyPH8UhKGU3RSH23FFKDhxyI2WUFhVhFGEsc5LhtqK/lk2K2hjqH3HkEZNF6s4l/Z9aysw9AedNKWpNqxYeN15cheRYOjeaZZQwm6njnKux1U0AlAAqwfLsDOH1PK3aBxzk5O6+MRQNo5fCKvc3Bv0cU9V2Oqmk3EBPGT+v/8AXiJsFtcHi1sr7R42ng6VAbuVYK4QF1AdGKTQNot4pLOXbKaiv5VN1e0MeJw2IJNcHiyOm3UHCuD/AIVveasHG5BQ4suWkE17Pb6RJ8ajoSiUtKBYLBydmfo3jkOuhlBWqkm8LdRKS6tu61jTUeUwixBFGRJSDa1XB1uQBPE42l1JQqhweO2rzpu9FfDRNqVYfJKUEi00DbxqwNQnEtxryzWNW2VMkIejrCN1I2Ry5PPkNN+PFwgeahHWRyJVrLqZIwwNIWFi8mpbhdObN4nH8UhAbSEjdxwecXFd/ItspKgsWp4uECBHI66b0IHEcNFRSl33qtvA0SBjTzudnIM4bzSUhIujjdfuOIbG/knSKjs5BFy3lMaJTxPdS1rUi8xprO3kfFa8qHCDG82UeEGBgbajNrW4ZLm/D8ciZ7xaGBv1clV1lZHVUMWMI/FE3RaaQtKxeTxSja+0kY28ajdFpph3LNhdmPE/Kbj2X99MvofTeQeUVpSbCeTwgfdXO0bKSLBZyJkct6UHmki0UtiQTahywfisyU58dd6pyEtxihApOyBT8kialFugUlK5xvqNiP3qBaL6Oo8hPPmk9Q4pq7jralYCkz46ulRmxwLb4pCgtIUKIB0Urg9HQUU/imI6GBzeRDjutKJWdHVyCLRYaDD8X4BtT1Vl5Z/petIjOLWHZBw3chyE04q/ge6hwejpqJ8aQhLYupHIj++fW91aBrHIS1uqUFc1WNISEJujiKEnEUEJGA5LPvJa19WjVyUlbKkp6qhFzJ3XE2WVjRiONG2Mqzu3V+v/AOtMRlJXlXTarjnLuMHv0UwjJtpR1cUmKmSNOgiokNyKs6bQeO7NbcJTpFJJIBPFLiOreDqN1NlRSL+PId97LQjs6eTMbLjRu41HeS+i8OKX7xxDI/PE4wZE5Sd1AXRYKbfTEccDu802sOJvJ443/Id8OJT7STdUoVdac3W1mjA03B8w+q40pVQUhMdPyqGktlRG/wCTle9eba8dfD9444938pyKQrKsGw/vVs7CwVHjZI31m1R4rBxWA8V4VjUb/kO8SWkOynAsW4Urg9rFHN/FZOWzsKvDvpM3TdcQQdapQSLTqnEBxJQd9JSEC6PpEY5aS47uGjXSSpLKinGojeTZSnWqBIIFJ4OZs95pNGCUaWFkVEZdbWtTu/ijaZDquSHlZyWlYWauS2HWlJNRFFbCVH6k22loWJH0GBzr7nWeTI5sppX51bxutqNQv+Oj5KEpRygVuPy2cJyuSGP0p5dxtSqgJuR08mbzVtK76flIZN3E9QpE5JVdWkp/PFJfEdsrptV9AVyppsjrpopZYTeOgCk8INqUBYRbv+Rh7bv5+VfcDTZWagtZNu8rE/RyoJ0mlTo6elTUpl42IVU9VjBA36KbTcSE8nhLQ0FdRqCgqBfXir9qdbS6goVUFZU1YrdorhC18lKcEaaj/CTx3hbd38fCX/HNNDPlX1bAw76lM5VkpqO6XGAvfVs1zqT61DdU6g38QbNdE23fzSp9htSnmDfQNun5OfzglrrNDR88p1KFhBxOoeyl33WNJghRvPm8aSy2nBNTEJC2iBvqbzlNp7+VKYzhu5bSE3EhIo22aKhsrZQb+JNSG77S0pxNRSrJAKFlnHD94tx49dnlxvsiQi4qkICE3U0RbTDIYQGxxQCBlP8A7Gr6evjZfDxVZu1RcN5xlG0o0+0lqIpA6qjaWU/ilMSibcr6U8X4wvKd9KYWpxsKWNPyB97M7kj96XPaSbE8491MSkvkgCw8aXEqJSN3zSUlc8k7hq5fOeaR31NtSpCwLbDXtBvqPlXtBrqPkaPCCOiknwoLlvHQm6NVweRYtO+06hXB7CyVEUmBHQbQniWq6kk1wePc3jv06piIW31vK31KSpbKkpxqIFhkBYsPFNjpPvk7YplzKthfXyFupbsvb9YwyuW4tdtiSfOm2kNC6gU4LsxBG8HiWoISVGoa0ttl5w2XqZfbfFrZ1JNmNBQOHG9KaYICzSVBQtTxW6mJz3nXO+zVu6Zjf4PFZVlWasISDeA06uer3VwdLRTaQhISNdKiKkLSoKssppsNICBu5D3vJaG+rTrAkJ0DilZbOElpO6o7Smk89VpNLQHElKqRAjtm0JqCNLo7+S26l0Wp5DzKX0XFU1CbYVeb4lJCxdNNwmWzeApmKGFkoOjq4jBUk5RC+dTKXEp96bTxEgaTyXFXUE1AF1gE79NF5tOKqzpjtjzoEHSNQ5/zEfj5pbaVkFW75SJ7x5x3w+Sbjlp0rSdB3cia6W2rE4nRTDQZbCBrp5vJS12jQ0ciaq7HXTENbrYy6tHVSYMdPRrM4/YFRBk33Wk4DUP8yU2rr0fTXgstkN41HaDLYQPlnveykN9WnXs/qJCndydA5M5tTrBSjGkixIHETZpqFz1Lf6z+1OkpQSmmVyZovXroqK4sLUy4bSOTwgglm+MU6f7ECFZ2V2aLNdIKg0bmNRmsi0EahabySmo8Ux+naKc2DUBN2OmpDbiXQ+0Ld1MKcWm1xNh5CheBH9vAWaBxnupL8tX9P1ovyx/S9aM1Sdts/wDyupQSLTTctp5VxB/uNp5Mi82oYbqPB7YN5olP4rJzG9lYV+azp9HxGvKk8IMnQrR+aQ825sq/t+W2WznDeIx/FNrDiQtPGUJViKXBjr6NZhZsLIrIS04O2+Ffrh2TWXlpxat8az1Sdts0nhBgmwmz80laV6Un+2WrYr2ROycNUptC9ChSoCAbzRu1lJUfbTeHdSZ7CsTZ+aEllWChQcQd9Wg/2pJYy6LN+6or+WTztoY6xTaFbQow456AowI56Nez2uiSPGs1fR8N3zq/NbxSFVnqk7bZr2iwNrR4UJ8c9KhMjnp0HEKwP9nSEmO5nKcN9JUFi8n5K6DWTT1UYzKsUClcHxldGvZ6BsqI8azNxOw6aycxOCwfCr00YpFZeWnFr1rPinQ42RSZ0dfSoOIOBq3+xSLRYajqzVebrw3agIUU37NHLSlStka1TLa9pNHg+OejR4PR0VEeNZo8n4bvnVs5HUaz1aPitketNy2XdlX9hSWQ+izfUR/Kt87aGPLgzM3JQ4LUKxFToebkLbNqDgeVDkmI8HB41wjFS0oOtbCsP4+SdisvbaazN1v4Lh8avzG8UhVZ26MWjTU43gh5N236++M2eD4wONA2i0cuBKSn9NI+Gr0qXFVEdKFcrg95LqDCe2VYdxp5lbDhbXiOXGjtS4ykoHvE6fyNc6yh5N1Yq87C2ucj1FIcS4LyT9dUkLSUmoai2THXiP21EV1M9rM3zp6J/wBU42ppZQvEcnCj/wCUj3v6qPUcth5cdwOoxFcIMpWkTGdlWPcddZbS462VZSP5UzLQ7zToV1fXZiVIIkIxH7UhYcSFDlglJtFOgcJx8sn4ice8dfKjvqjOB1G6uEWEkCWxsK9Dy+D5SWyWHthWP81MiqiO3Dhu1AFpsp+O5GVcdHKfjIe07+ukSHI5ycnzoG3SPmpRsZVZ1VBKlR0lfy0t/IIvDGs5kJ22/KvaLPTtHhQmxz06S62vZPKItFlMkxHMgrZOH8aiNIXFdDqKnx0KSJkfYV6HlcHyUptjv7CvTvqXGVEdLauXFWOEGM0c2hsn/VKSUG6rURZDctAiSv8A1PVUhhcZwtrx5S0BYsUKuuQjajSj9qadS8m8g/IrmLiu3X8Nxpt1DovIPLlfAX+KifAR+PluE03m0g9dMrKLYrx/BpDaUpu40qO0vaSKVAjq6NZgBsLIrJS0bK7fzWXlI2m7fxQ4QSNtBFNzGHNlVAg4VJZy7dm/dUR7LIsViMdRwfKDKi07pQrGpsQxHLu7d+OUyRwlHzdXxE7Pf3UQUmw8pC1NqCk4ipiEzmc8a2htD/epTZwpHuH4qMO8Vhjy3WVx1ZZjxFMPofTeT8hIjpkIuKptq6u5sr9DWdOsaJCfEU24hwWoNvJlfAX+KifAR+PlpLWWaKKS2ZTF1wWKFRXyr3Tu0OVZS47Tm0mjwe2PhkikRnEKBLhNSW1MqzlrxHXTTiXUhSdRDcTNazJ3Hon/AFS0KaUUKxHJbWppYWjEVNQmY1nrWPSHf18uFLMRy9iDiKnxAyQ61pQrD+NQ06plYcRiKnNJlNZ8z/7DqOofYU2rLsY7x10w8l9F5OrLiU4mjMYHTFHhGMOlXtBnv8q9oM9/lT8mO+mw2+VReEEq928fGnEoLwEXHfZhyZXwF/imJK1NpbYFps8KzeUradplx1p3IOm3qPy0pgrscb2hUaQH094x1SwYTl9Owce6gQoWjlglJtFPgcJR85R8RO1/PKgy81c07JxqfEzZy1GlCtI5cCQkgxH9hXoakx1RXS0vdqIMsxXNOycanxBHWFt6UKw1D6DFXl28N4pKgsXhy3ZjTRu4nqrKS3dhN0d9Zm4v4rp8KTwewDaRb+aTGZTgkVcSN1WCrBSrqRaaVbPN1AsR1/xTLCGE3UDkz1XI6jUJsNsJs4nv+W34/LyUFhect+NIWHEhadSpIULDTZMNzJK2ThqIklUR0OJrhCMlBD7Owr//AFnKguJkt5i9/wCp6jTjamllCsRy0f8AlI9w/ERh3ijo1EB5LyDCfwOHcaeaWw4W14jlkA6DTdsN3JHZVhy2YyGRzdQ9GL6xePN6qCQkWDlTW1OsFKaSLEgcQBcmFRwSOKXIyCLRjuqE6p9kLVj8pZTJzV8snZOGqeZS+goVUZ5SFZu9iPXUcHyEEGI/sK9DUmOuK6Wl7uSDYbRUke0Y+dJ207X88tl1bCw4jEVNaTKbz1j/ANh1ajCl/wDk42UHxUY941EhkPtlFQ3i4i6raHzQje8Lrht6q4M/4w+VksZdFm+or+VTYraGPGzFfkaWk20eDZg/pmlRX0bSD5UUkYjkSI6X02b6jSCr3Tu2NQizhOPkz8VGHeKIs0HkwZRiO3t2/wDFcIRRHcvI2FaRy4UsxHLcUnEVPiBhQcb2FYaiNIXGcDiK4QjoUBMY2Feh1ElOQcElHjSVBQtHzJwrgz/jD5aS2ptWcN476acS6kLTxNvus/DVZWeyfuHzpPCkxP8AUNDhmV07D+RXtNtfxWEn0rOeDlbTFn4NW8FK3KFShEAGbE+NSY+WFqdChhUaRlOY5oUOW04plYcRiKmNJltZ6z/7Dv6+VBWJjJhOY4ppaC2opViOXAfQ4kw39lWHcakR1xnC2vUcHywyS07sKxqZFMR25u3HlqSFCw1HUYzmbrw3fNNMJZtub/l/+E9/0V6HVyY5X71vaFR5AfGnEcuFLMRy3EHEVPiBkh1nS2rD+OSlRQoKTjU1Imsia3jgr+dQ0ocJs5BfxE4d/dSklBuqx1EVYns5o5tDZP8AqlJKFFKseXJYD6LN+6o0gr925oUPqDrSXklCqjuqaVm7vgevVyY5JyzW2Kjvh9Nox5cCUgAxpGwr076lxVRHLivDv5PB8oR3LF7CtBqdFMV27uOHLQtTagtOIqQhPCLOdNbY2h/vUJUUKCk41MSJzGeN7Q2v51EtlWh5vaFMvJfRfT9ITIaXsqFXhy5LGWRox3VFfyyOdiNW+ytpeXZ8R10y8l9F5PLiOomtZm/j0T/qnWlsLLaxpHJiqE9jNHNobP8AFKSUG6rlxJKojocTXCEZAsksbCvQ9WogyzEctOycanxAwsLb2FYahf6N7KDYVj3fR3pDbFgc30Ykdem6K9nsjZ0eNZipOw4ayMxGDlv5FBU1OKQazmSMWvWs7dGLRph5L6byeKS2WV5w14/im1hxIUnVvMKaVlmPEddMPpfTeTyrbNIp2Y3KYuyB7wYHr/PJQtTagtOIqYhM1nPW8ekP96jg+SlNsd/YV6d9S4yojpbVqID6HUGE/snDuNPsLjuFpeI5bjYdSUKqM4WlZs54fRuEWsozb1VHu5JNzDltMFpxatx4iLdBpr9I9kjsnDk41mkj7Z8qzSR2D5UWXU4pNWWcchlTasuzjvHXTLyX03k6yDLzVy07JxqfEzZy1GlBw1EdQ4RZzVzbTsn/AFSklBKVag/+Si2/1Eeo1EpjKotTtDCoz2XRe3/RSLRZUJWTvRzu/bVPspfRdNRX1H3Lu0PXkAlJtFe05n3DXtOZ9w0OF5o6de2HjtpSfCvaEZfxY48NFf8Ai3u0j1pfBraheZeB9KeSYbmWRsnEf7pKgsWjWQX0PIzKRgcD1Gn2FxnC2vEctCyhQUnEVNkplrDl2w79QlSk7J1Ln6R8OjZVj9Gle5dQ/wCB1cphS7HG9oVHkJfTaMdWQCLDQKoCrDpb/akqChanWII4VZyavipw7xRBSbD8wtAcSUqqIstqMZeIw/H0VxAdSUKqE4bpaVinVyWyyrOWvGm1hxIUnfqyAoWGiFQFXk/D/akqCxeTq0LU0oLSdIqShPCDOdtDnDaH+/mZjSrA83tJplwOoC0/RZSC2rOG8Rj+KbWHEhaeShJcUEpxp1pbCy2vEcgi3QaaOZu5E7Jw1hFug0m2E7cOwfQ6yJKVEdyianRUXc6jbB9D8y2c0eLZ2VYfRcaT+idudBXpyYiRBYMxe0dn+aUorUVKx5MhkPoumor5PuXdoax5lLyChVQ3VaWXNpOsvEC7bo+ZkMh9F01EeKwW3NofRXmg8goVUR0/Ac2hxwImcrvL0ITjU6VnTto2Rhy5bBWMo3tCo74fRaMd/Kzbg77/AKVkeDfunyrI8G/dPlWQ4N+6fKsyhK2JHmKc4MupK0OpNnfUtKmliSjdj+KbWHEhSfosllQOXa2h60w8l9AWn6LKYLnvG9oVGkB9PfvrGpqhEYTDbOnFWpkJMZeco8aQsLTeTqzpFlMOJhuKZcNgxFZ5H7YrPY/bo8Ixx0qPCCOiknwrPVnBo1njv2jWeO/aNZ479o1njv2jWeO/aNZ479o1njv2jWeO/aNZ479o1njv2jWeO/aNZ45vaNZ8Ri0ryr2iz0rRSZbCtAWKCgcDr3Hm2rL5stoEKFopwGE5lE7BxoEKFo+iyWlIVnDOIx76ZdS8gLTy0IU4q6nGpEdcVeTXjxEW6DRBgKtHwz6UCFC0atbSHNoW1mzPZFCO0OjV1I3fIFIONKisrxSKPB7XQtFZrIRsO+dfrk9RrOZCdtqhPHSQR4UvhJtO4+Ve0o/XSZ8dXSrOWe2KS82rBVWg8laEuCxQtowrmlhV39qMhxAKJKPEYVBkpByBP41l9N65bp+QUbotNe0o3aocIxj0qz2P2xQksqwUKyieurwq3jcGZu5ROwcf5oG3SOShCnVBCBpNKU3wSm4jS719VKUVm8rjUkKFhpBMJzJq2Dh3fN2GrijurDUFIO6igwVX0i1B9KCWXk3rLazOP2BSoMdXQr2c0NgkeNZgRg6azR37prN5Kdl2r8xvaSFV7QQPiJIpqQ09sKt4lwmVqCrNOsc93MQvr0fItgRpBQrBWFXEndRjtHFNGHHPQFHg+OejXs6PuHrWYI3KPnWYDtnzrMP8ivOsmC3k1aajrMdebueHJbs4MjZU/EXh3CiSo2nkutJeTcXTTyoxyL/geVGXCSix9BJrK8F/bV51leDPtq86s4LcwKk1mcA7Mj0rMof/APT6VmULfI9Ks4La7S/Ss/io+FHHjpr2urc0nyr2uv7SfKvaiFfEYTWeQTtR/WstwYcWiPGr3BXZV6Ve4K7K/Sr3BXZX6VluDE4NqPjWfxU/Djjxr2uRstJHhXtiQMAB4V7Zm9r0pxxTqyteJ1J00tlcZWUj4bxTEhD45uPLIBpLSEm8BqZGWstZqPJS+Oo9XI4Q0IS51EUNI+QkMB9F2oj5cFxe0NTIYD6bN9RXyu1pzaHHwdGS84XHdhOk1MkqlvFw8txpLybqxSFqhqybuzuP0Z+LfOUbNiqjycocm5oUPkZ8Yn37W0KiTw5Yl3HjmIvsLFR132UqokDGgpJwOvlMqtyzW0PWmH0vovDUyY5c943oUKjSMsLFaFDHiEhxLRYB5p5cSIuWu6nDeamrjixmOMN/XTraXUlCqadVGUGHsNx+jSIwe5w0KGBqPIKjkndCxq3H2mtpVGcV/AQTVk1zqTWZuK23TXs8dtXnWYWYOGkQi1eyx5n+6gLWoKB0pGB4nBag0w/kYaVb6RDywvSDb3Urg5noaDUR5SwUObSeIzrDZkzUeQJFuiyzWPtqjuZw14im3EupvJ1MiMVnKt6Fio0jLjToIx5cWKuW5k0VMlIaRmkXZ3nr43mkvIuKqK6pCjHdxGH0aRGD46iN9R5JJyL2hQ5RkspxWKVPZGhOk91ZaU58NFn5rNHnPiueVNwmG9IFWch59DCbyqSyuUb7+zuH80BZoHEcKgpLjtw4It40aJqrOrji/Gd/OtUFQVlaNKD6UhaXE3k6mSwoHLM7X70w+l9F4clKSs3U41KWOD2c0a2jtH/XJmtmwPJxTTbgcSFJ+jPx0vjTjTUlTSsjIx6+vk5nH7ApLaEaEjUSIinXA6lVhFMh0D3pt5EaPkL3eePJpv39/G2+iK64HdFppE5pxYQjTrMaUhcJV9vY3im3Eupvpw5JFmPIfaUwvLs+Ipp5Lyb6ORwYgMhc1zBOH5pay4orVieUP0Tt3oK9PoFtW1aKt5DrSHU3VikuLhm47pTuNA2/LlIONBIGGuW0uKous4bxTTqXkX0caVFBvChwgzK5s1HiMad4MJTlYir6fWiCNB43WlxlZZjDeKaeQ8m8jjyzmTyNvN5clkPNFFQ3S6yCcfk7aKkjfWXaHSrOmO2KzyP2xSuEI6elXtAHYQT4VnMlWy161lZn2x51emqwAFZGWrFyyjCWrbdNez0b1HzpXBzZGgnzpDCW1ZOQT3G2swb6Kj51mz6dh3zq9NbxAVWerR8RoikTmF9KlBLqbDpFNKMNzIr2Th/H0d1hbKstH8R10w+l9NqeQ084wq82bDQnMTObNTp7Qp/gxxCcowb6e7jdYUyvLMeIph9L6bydUYRBKml2W1m8sf1fSslM+56Vk5vbHlVk7rT61+v/AOtX5o6INZWZ9sedZWZ9sedZWZ9sedZWZ9sedZWZ9sedX5pwSBX6/wD61+v/AOtXJqsVgVm0k7TvpWZLOLprME71nzrMG+s+dezo+JFZlH7FZnH7ArNmR0aDaE4CrNQ40l1N1Yr38P8A7I9aafQ8LUHjWw25tJrMQnSyopqQiVcKFi8OvfUJ1brfPFhH0d+Mb2WZ0K/eo8kPc06FDdyWJLsZV5pVlZeJP0SBcX1jDxqTAejc46U9Yw4noxCssxtfvTElL2g6FDdq4kRtDedStncOulEEmzVMMLkLDbY01MEeM3mzelW8/wAakRF5uZJ0D99Y9DBOUaN1VNSiFZJ8WK9D9NkRg7zk6FDfTEkk5J7QrlRp70XQk2jq3Vk4fCHwzk19W41IiPRjY6mypEUO85OhQ301KKTkpGg/vqYURBSZMjQ2PWpktUtdpw3DVMsrkLDbY00+8jg9vNo55x2j/rUwYmdLtVoQMTU+XnK7qNCE4DU2W6BUpKYUVMc7atJ7uN5lD6bqqadXHXkHjo3H5MKCsPmpEdL476YkKCsi9tfvy1TH1NZBSrU8TrSHk3VirH4eHOT60y+2+LyDyoMPOVFS9CE4mp0zOVXUaEDAapllchwNtjSaeeb4ObMeObVnFX+hqW0FxYQnE1wg4IyMxZwGPedVBZTHRnr+A2R1mnnVPrLi8TyHmUvouqqO+pJyD+P7/JRfdvONePzciOl8acaYkKQrIP49fXqnYgUrKNG6qm5ZQcnIFh9Kx420KdWEJxNcIOCOgQWt213nVoWps3kGw6qEkQ2DNXjgmlKKzeOpgww7757Q2mpssy19SRgOVIYD6dONRXyv3Tm0NVKdWw3fSLajzGpGzjyneZMQrr0fOPsJfTYajvqSrIPbX76pbaXBYoUYzrGmOrR1GmJId5itCuriZeXHXlG8aUoqN46i2rdY7JceSlKzoThqUEBQKhaKmz1SrEgXUDdqJTKtD7W0PWmHkvovJ5NoouIGJoy2B0xWeR+2KEhlzQFCo8dty+ycUnRWVeiaHucnrptxLqbyTyJ3NuOjcfnZEdL6bDUd9V7IvbQ9eXEh53eCVC91ddONraVcWLDxyIwe5w0KG+kzS1zJIsPXurP4/ao8IRh0qPCCOgknwrPHDg0azmRuZ9aD0s/07PGv1quoVm8lW07WYdpxXnWYN9o+dZgjtHzrMlJ2HDWRlpwct8KvTU4gGs4lfZ9azp8bTVDhBHTSR4UnhCMrpVnkftig82rBVXgd/KyqOusqjrrKI66yiOusojrq+k76tGpdBiOZZGycf5q9fRaisnMVisCs2kb3azFStpw17PaO0SfGhwfGHRrNGB0BWbM9kUqGwvFFMRER1FSTjT0xpvm4nqqGwtKi6RZbu5HCItjKpB5op2XYrJNC8qsjKc0qcs/FRXV3lMu4j5qTHD40aCMKjSL/ALtzQocoEpNopHCDchOTnJt799L4Lygvw1Xx60pJQbFcRAONZJHVQbQN1WDXWUW0HEUYzJ6Iowo56FezmN2isws2XDWaOjB01kJacHbfCmM40h6zwqalSkABNor3Cdpg1bE+0fKhmBN0psr2fG7Nez4/Zr2dGPRr2e1uJ86zDqcV51mbg2XTWbyx/V9KuTU4KBq/NTikGsvL+161ni0/EbIpM+OcTZWXYc5t4Ui2E7kzsHDu1M3KZS1ZOT7qjtMJTa1yZgtjr/FZdSmUMtbRHlTDCWE3U8R0TvCnLwTzMay8pOLXrTUxC1XFCw/MSY+VF5OhQwqNIyvNXoUOWhxbRvINhocItSRdmot7xjTnBl9OUiKvj1pSSk2K1SklBsUPk7oPJZkIftsxHLLaFYijCYPRp1lLyLiqZbySbttuoItpCEtixIs5Lqb6CmoEUsJtXjxuG7MQT1HifdyKL4FtRbZbmXWcN3zMqOVe9a2hUeQHx3jHUNuLaVeQbDSeEW5AuzUW94xpfBgdF+Gu+OrfSkqQbFDUIlsTUhuboPa/mpXB7sbnYp6xqICGHHbj+/8AepMVyIu45rpMcqOVa2hUd8Pot3/NlIVpPG6nJSkKT0sfmpLSkKzhrEetMvJfRfTqULU2byDYaRwkh8XJqL3fvpfBoeTlIS7w6t9KSpBuqHLiznYmzpHVurIwp/wTk19RwqREeimxxPLjzxcyEoXkeop7gwlOViG+n1rDkoVk1BY3Vci8JbHu3PQ0/HdjKuOizlPsqbVl2Md466ZeS+i+n5wvyrbEtetNR1lzLPnT+3zbzaoq8u1hvFNuJdTeThqkLU2byDYaTwkh8XJqL3fvpXBgeF+Gu8OrfS21tG6sWcuPwk8yMmvnJ6jWbw5umOq4rqNSIT8b4ieUy85HVfaNhoS407myxdV2h/upXB7kYXxzkdY5TPCZu5KUL6fWlcHNSBfgrt7jjTja2lXViw8l5pUdeXZH5FNOpeTfT8tlxlsj3fQlpVCXlEaUHEdVIWHE3k6tK1IN5JsNJ4VUpNySkLHr56mPwjIj6AbR1GlvwJCSVoKFd2HLiznYh5ukdVLiszkF6HoUMU/xRBGg8lKig2ppvhPKJycxN8etHg5uQL0JdvccacaWyq64LDyFpMJeVTsHGkqChaNfIyuT9zjUbhFLnNc0HkzeYtt3qP0I6aUhcJV9oWo6qadS8m+j51txbKgtBsNLkxpyCZHNcG/r5YUUm1NN8KKKcnKTfT61mMaVphuaeyafjPRzY6mziIChYabJhuZJWwcP41NtXh11fT11lEddZRHXQWk7+J9pDLlqxzFY9xq12HjzkeopC0uJvJw45qb7ChUdV9pKvobsdbKstH8RTEhL6bR8pbRcQnE0ZTA6YrPI/bFZ9H7dZ9H7dZ9H7dZ9H7dZ5H7YrO2O2Kztjtis7Y7YrO2O2Kztjtis7Y7YrO2O2KD7SsFCgoGreqk8IyA2WlG0d/G8yl9FxVRXlAlh3aHryH85t9zZ41kZa8XLPCszWdp01mH+RXnXs9veT517OY32+dezo3ZrMI/ZrMI/Zo8Hxz0aMBPRWR41IYcQghb2jvqKZa0ZNOz1mmGQw2G08axeSRXB5Jji2lKCRaaVwhHTovU08h4XkH6C9GVeyzGhX71HlB7mq0KG7UlQFKkNI2lClcIR06L1HhFvopJ8Kz8nBpVZ2+dlqsvLP9L1q2ccABWSmKxcs8KzR1W26a9no6SifGhwfHT0azOP2BQjMjBArIt9msi32ayLfZrIt9mjGYOKBWaR+wKzOP2BWZx+wKzOP2BWZx+wKzOP2BWZx+wKMKOegK9mx9wrMBuWrzrNHRsumsjLTg5b4VlJje0gH8Vn4T8VBFOqZlAKbXzhhUSRl087aGOuVGKpOUULRyo8gMNrG+06KRFW/wA+SfCktoSLAKeGavpcTgrQeI6KivF9u+fn34qXtI0K66yEsf1fSslM+56Vkpn3PSslM+56Vkpn3PSslM+56Vm8s4u+lZkpW06a9ns9LTSYbCcEUG0jAfPY0uKy5tJpuC2y5fQSPlI0IofU6vr0cfCHwwe8UKlOhloqNRUhhhIUaStK9k/3BKaW8pCRhbaeKRHRJAC6HB7OKtNNtpZmXUCwFP8AcjzbgfS6gW7v/nR2Y0yq6rGmpDb2lB/uOSVomXmxbop99hVjjGhdJw0/3EWUlwObxVxPV/8Ao9GcSipSV3QDSHnWFhuRvwP9xxlKbDiALSDUqUHGS24mxVI2R/cWRTlcrvqz/wDFannXnCiPgN9MuvB/IO6dFv8AcSsK4NIyHfWRVnWV3WWf3G5CbWbydB7qaYebXpctH/xCaYmG/kX9CqfjF823yKzBPaPnWYN9Z86zBvrPmazBvrPmazBG5R86zJY2XTWQlDB30r9cnqNZxKTtNetZ/ZtoI8KTPjnpWUl5teyrjcjvKUSlyys1kfdrNX/u1mjpxdNZifuqrMB2z51mCe0fOswT2j51mCe0fOswT2j51mCe0fOswT2j517PT2z51mH+RXnWYf5FedZh/kV51mH+RXnWYf5FedZh/kV51mH+VXnWYq+6azR0YOmshKGDvpX65PUay8sf0vWs6eG00az4jFpVe0E70HyrP2uo+VZ+13+Ve0Gu/wAq9oM9/lXtFjv8q9ox+us/j9qhMjnp0Hm1YKq0fT50TLpvJ2hUOW8U3Vpt1ZbQrEUqDHV0aRCDaryVH56yrBVgqwVdHVVxPVWTR1UY7KsUilQY6uhR4Ob6BI8azaQj4bvnV+ajFIVWdujaaNe0EdJJHhSJrDmCqBtw+bDiVKKAdI17wMV3Lp2Tj/NAhQtH1eylx2nNpNZjc+Copq/LZ2k3h3U1MadN3A9/yUhxbSbyE20xLaf2Tp5SAETld416khYummFGM5m68N31t1ht4c8VAJF9CjgfkpfBwdN9rQaYektKyZOnqNNS76sm4m6rkSfdyG3PDjtGtksB9Fm/dUV/KJuL2hj9bkfpnhIGB0GgbdYt9tvbVZR4Qa6FqvxWcyF7DXnV2avEgVm0k4u1mr33TTvB63dpymULVISkm25v5HCOhsL6iOJ1a5LmRaNgGJp+MmJY81uoadbKaUlWcNYj1pl1LyL6fpNtlLnNg3W+ce6rJj3UkUICuk6aGtWgOJKVVEWUExnMRh+NQpaUC1RpU9vBvnfispMd2U3fzWZuL+M4T6UiEwjo0EhOHJmv5JN1OKqjshhF0cjhEWxlVIfLbIu4nCozIYRdqcLY6qa+GNc4DCcyqdg40CCLR9GJApc0E3GReNZq6/pkK8BTbSGhYgcZNlK4QbtsQCr8UOEG+mCPyKSoLFqdXKYKxlG9oVGfD6Ld/KeEhSrrWgddJgN23nece+koSnAakRHJD+VfwHJli8wsd1QyZTiVnBI9eKd/x101pbH4qGvJlbKjs/tRmrXaWW7RTDwfbCxq1JChdNNKMRzIr2Th/H0QkDSaXNBN1gXjQiuv6ZKvAUhtLYsQLOTNJWpDA6X7UhCWxdTSkhWg04gwlZRvZ3ikkKFo1b7amF5w14im3EupC0/KkWiymGEx0XE8UxtbrJQ3jTQKUAKqWkrmBtPSpKQhN0Vwfsr/APsdY+yl9Fw1GeUDkHdoev0FSgkWqozS4bsdN79qERb3Okqt7t1IbS2LEiluob2zZWdMdsVnTHbFJUlYtSeOVzZDSzhTrqWUFaqQq+kKp9baUWOHQagK5hbPR1igYTl8bB9KC0nQD8y4n9eg93FEdQyhxSzvNMuZVN6yzWSY+WFqdoYVFkZYXVaFDH552U01tKrOJD2hlFneaTBCtL6r1JSEiwcfCDOVkISN9CKYmlxAWn8U0xFeTeQkUhtDQsQLON5lL6LiqOVW4mK7gPWlNyrdCxZ+KaiWKyjpvKqL8d3WKSFi6qlsZBy6TZ1H/VNSilWTkaD6H5goSVXt/EILAXfs10mOVHKtbQqPID6e/wCaW4lsWqNlGbf0MJvVm8h/4y7B1CmorLOyOVJ/5TR4nU5m5lkbJx5Mv3TyHjhhWPFF+O7xcJOrZaBQd9ZV185Jo4YmnWlQwHQsn80NOocbS6m4qiMl+nkaU7jSXHIRuuaUddJUFC1P0eQwpKsuztfvTD6X02j5YyluLuMJt76cktsjnmstJkfCTdHWaTBRbedN40ABoGocZDi0rO7ifbDrZQd9QVlbAtxGjkOth1JQqmpBje5keBpyYyhJUFVCbKEXl4nTxcJIvRzUBsNsDvrhH/jGkOIIFh1LjaXU3VUFGIck9pQd/wDNFtcT3jGlPV/FMvIeTaj6O+yptWXYx3jrph9L6byflJin7LjKcaZiyLgQpV0d1NRGmtIGnXQ+at1HfyVJSoWKFCKyk2hI41oDiSlVIQG0hCd1EBQsNCGwlV4J1S0pWLqqZZdjruDSj9qejKSrLMaD+9R5AfHeMR9HfYU2rLsY7x10w+l9N5PySgVJsBsrJTEbKwfzQVNGKRWWlj+n61nMr7PrWdP/AGazt37RrPHPtGs+P2lVnx+0qvaH+JVe0EdJJHhQ4Qjq6VJkMr2VVaDxEWiyo8URyqw228a3m29pVHhBroAq/FZ8oaS2bKbdS8m+j5ORGJOVa0KHrUeSH9B0Ebvo77CkKy7GO8ddMPpfTaPnLKLaTiKVDYViijwe10CR41mbqdh01kJY/q+lZGX930rIy/u+lZktXxXCfSkQWEabtBIThxNtJatCflJEa/7xvQsVGkZbmq0KH0d9hSVZdja/emH0vptH1yTHKvetaFCo74fTbv8Ao78dSVZZja/eo8hL6bRj9ckNKaVnDOO/vpp1LyL6fo8hhQVlmNr96jyEvptH1xwGE5lU7Bx/mkqChaPo78dQVlmdr96jyUvizA9X1tSQoWGkEwnMmrYOH0h+KHTfQbFddR3nCrJPDT9bdaS8koVUZxTSs3dx3d/0gkDSa9pRu1XtKN2v3r2izut8q9oJ3IV5V7Q/xq8q9of41eVe0P8AGryr2h/jV5V7Q/xq8q9oJ3oV5V7Qa7/KvaDPf5GvaDPf5GvaDPf5GvaDPf5GvaDW4Hyr2gNzavKhMcVstGs5lHBn1q/NPRFfrj1CrkztjyrJS+2PKslL7Y8qyUvtjyrJS+2PKrs0dIV+v/61+v8A+vrX6/8A6+tfr/8Ar61ZO3lNZOYemPKs3lHF30rNXt7prMlfdNZifumsxP3TWYn7prMljB01m0kbLtZOYMFjyr9cOqr03sispM7ArKTOwKykzsCspM7ArKTOwPOs4lj+l61njqdto0OEW+mkjwpM2Orp0FpOB5UljLp0bQqNIyouK2h9Iujqq6OqrBqLBVgqwVYKsFWD6JYDS2Gl7SaMBg7IsrMVJ2HDRblt/wBQHwpUyS1t2GvbCuxQ4X60V7Xb3pNSHUqskN6CKYey7YX8l//EAEERAAIBAgMDBg0DAwQCAwEAAAECAwAEERIxExQhECAwMkFRBRUiI0BCUFJhcYGRoTNTsSQ0YENiY9FywXCA8CX/2gAIAQIBAT8B5LWDeHIJwArLYjVmNf0H+78VLs83mtP8htfJt5ZPp/j8UEk5wjGNbhc+7W4XPucsnm7JF9448xLCV1zHh86mt5IOuPYGtSRPEcHGHMW3lfqqalt5YMNoMPQIreWYEoNPYgZl6tbWT3qWaTHrct95KxR9w5bKESPnfqrVzI8spL1bXWXzUvFDVzDsJCnQWUSSOS+gGNbe0fgY8PkavLTdiCDwPLHGZWCLTSx2XkRDFu014ynPWwP0rJFfAmMZX7u/opVCWkfeceaAlguZuMh/FSSNKcznls8I4pJ+0aU19cN69M7P1j08NqAu2uOC/wA1Neu/kR+SvdyBSxwFGzhj8mWXA0fBJIzI9SxGF8jejW9uZ27gNTRls4vJVM3xrNZS8CpWri1aDyhxU9vQQpnkVeRBmYCvCDY3DDu5bJ1gtXlPfUkjSsXbXkvuKxH/AG9BYuquVY4ZhhXi6bHUfer9RNGJEbHLwPL4O4SMe4GjyROY5AwrwgoW5bDoN1t/3qu7TOEVXHAVLZTQrnYcOW1VYUNy/Zp86dmmfMeJp4JIlDuMAeW3udgChXEGheoxyvGMtXVvsWxXqnToIIoXB2j5a3e0/e/FbKyHDaH7VKqK+EZxHLFCluu3nHyFTTvO2Z+WwXNcrUxLSMTWJ9HuDu8CwL28Ty2LbTNbto1EYHn+DQNtnPZx5LBc1ytStnkZuUDGwP8A5cgGY4V4ROEgj90AcssJiCk9ox52JrwecZDEdGFEYHDktZthIGq7g2TZk6p05EBZwBXhE43LYdAK8I/rYfAVieWO+kjjEeAIFeMZR1QB9KuJGktEZziceb1rDj2NzIojM4RaYZSR0Fq0SSZptKluLS4bFwaW2tWIyy14Sw3ggckcjROHXWvGLdiL9qky3cBmAwZdfQgpY4CtOVesKvo3kusqjkAx4VZ28kNwhftp+sefa+RbSyfTk8HcGd+4HmWuE8TWx11FOjRnK2tWkYiG9SaDT507mRi7dvLfcNmv+3ma0ylDg3J4PBNwp7qfix5Brxq7DQ+aU+RqKAJ0qGLcxt5tewUzF2zHligzxPKezm6Vcz7w+fDDnT4m1hA+NIiLJlnxFbpA/wClKPrwo+DrjsGNDwdcHUYVcyJHGLaLj3n48yy82kk/d0dsuaZB8avDjcP86ALHAU6NGcrDktOEExPdyqMxwFTxbGQx46clvayXOOTsqaGSBsrjnBGYYgc3wcPPZ/dGNE4knmWNwJfJceUoOBqOe3AweLE/Ot9WP9BMtWDtJdB3NMcWJqC1BsmfDiaZksBkQYv/ABXhDiUk7xzG8ixUe8eSxQvFKq6mj4PuV9WhZ3BOGQ06lGKnsrTiKHhCTDywG+Yqe4e4Pl8y9uYZlAQce/mA4HEUZ4Lr+4GDd4rYWg/1fxUlzHGhithr29vMjvpY1yaj414xkHUUD6U7tIcznHmXHmbdIe08T0kV6kcSqVxZdKZi7Zm5AzDQ0XY6nmzebtI07+PR27BJlZu+r0RbTNG2OPILuOYZblcfj21/Qf7vxU9yrpsohgvLYpnnHw41O+0lZ+88ltdNbHhxBq7vY7uMeTgw5c1jLGobgaYAMQDyWl3DHC0MnbUmUMcmnMi81aO/vcObZSiKYFtKuYGgkKnks/NRyTn5ckVwLexVu2mOY4mpIGvI42i7BhUkZiYo3Ldf20P15Et5nGZVNZpYjqRW9z++fSIFzyqvxq+bPcN6K8rSKqt2eh2nmoJJvp0975uOOHuH886K7BTZXAxH5FYWOuLVcXO1ARBgo7OdgeS6/t4eR5XitIyhw1pfCM2j+V862lpP11yn4U1jiM0Tg9KqljgvRI5jYOvZTMXJY+yLkbG2jh7TxPTWwVplDaVdybWdm6VSAwJpvCU2Pm+AoX+fhOgarueKVEWIaclzwtoV5rQruolXXHDo7WQxTKwq7QJOyj2lJK8pxc+wb/ydnH3Dm2/lWsq92B6OAYyqPjV6cbh/Qr1QuzKjUejbs+y2x09lQpnkVfjV++e5Y82y4pKvwqC0ecFtB3mmsHy5o2DfLktoDcSiOpE2blO7nWS5rhKlVprhgg1NP4PkRS2IOHZ6DedSH/x9Fgj2sgQVfTbSXKvVX2OFLcBS2Fy2iVLaTQjF1rweuM4J7ONO2dy3N8GDGUr3ir5wuFumi/zUUrQuHWr9As2K9vGvB4FuoZtX/irn9Z/ny5Thm7OXwb/cipW3BMidc6/CrWYxThquYhHOydlYWUXe34q8iSJxs9CMemvOpD8qXwfiAGbBz2URhwPofg/yS8x9UVr6csLuhkGg6CHZ5/O6U18VGW3XKPzTTSP1mNWbs0coJ9WrHyRK/wAOdaz7tJtMKds7Fj20MMeNXkyTOCmgFW8uSZGfQVdhdqSjY48eW8OzjjhHdj9+WCZrd9otO7SNmahwONXExuJDIeS//wBP/wARWRu7lmgMIUntGPRbIZYpn6qrUErS3aue+rr9d/nSz2oHGL81CLe6bKIfzVwixSlEPD0Aeasvi5/iksJWGLeT86ntWt8CTiDytGyqGI4H0pmCeDwB2no7ThDM/wAKscGWRCcMRXi6XsI+9eLpvh968Xv6zAfWilnCPKbMfh0XhAHFG7MB0C+ELhAFBp7+4cYFuRFzMFFeEWxnyjs4dFcXYkgSFeyrVlSZWc8KuyjTMyHEHksbhh5luoamj2UjJ3cxI2kxyjTpJ5ktI0TLiwH2qSV5Tmc41HxsnB7CORVLsFFXiPJKIYhjlGFTQSQHCQdDrpRBXXlhtZZwSgplKHBuju/Ihii+GP36OLhZSfMdOXYgKTw6PweuM2c+rxp2LsWPb01reLbqylccalkMrl27eZD5u0kk7+HSFixxPJabHd3EzYDH61cSpK3kLgBSOY2DLT+ELiQYFqvziIj8ObLE8JwfmQzNA+ddalvZJ0yyceRWKMGFSX00gwJqa6M6AOOPfyb8jDZunk1M0bP5oYDkAJ4DmxrmcLXhA5rggdnChDI2imt2n9w/aiCDgegj/sn+fpSSNGCFOvol35uGKH6/f0KS4EsIRx5Q7eZZRCWXFtBxqeUzSFz03g8ZWab3RzbFc1wlT3iRSNsF499Nf3LevW+XHvmrttrBFM2px6CDy7SVe7j7NhKLIDJpVxMZ5C59Gh81aPJ38Onn/p7ZYu1uJ5tjIsU4Z9KbiceTWr7zaxwe6P5qJQzhW0qdLayOXLmNXUcZRZ4hgDzfB7gTZG0bh/gjOu5hMeOPTW4QyrtNKuZdvKX6BGyMGq4uxcDqYGov1Frwic1y1W8kTRGCY4dtTLGjYRtiOYrZTmH+PE48TyjXjTQWa/6lbC0Okv4rcVbqSg//ACuFLHBaltJoVzuP8jlga2yyKde2h4RlIyygN862lnJ1kK/Kt1gf9OX703g+ccV4/Knhkj6y/wCP2cgkG7SaHT4GpIzE5RuVXZeqaS/uE0at/wAevGDW3tG60WHyNf0B94VsLRtJfxW4q3UlFN4PuF4gY/KmVkODD/GZsLuHbjrLr0SyOnFTS37kZZhmFbO1uP02ynuNN4PnXQY/KjbTDVDRjcdlYEf4paz7B8Tp21dwbF/J6p06RZHTqmheXA9c0L+5HrV4xm9YA/St6gk/Vi+1ZLKTRitbirfpyg14uuOzj9aPg+5Hq0bO4HqGjG66j/DrZhcx7s+vZTKUOVvQsSK2j99C5nXRzS+ELlfWrxjIesoP0rfIm68QraWTaoR9ay2J0Yit3tDpL+K3EN+lIDT2Nwnq0UddR/gwJU4irhd7j3hNe3oMezn44dKs0qdVjQ8IXA9avGMnrKD9K3uBv1Ih9K/oX7Stbkj/AKMoP4qW0mi6y/4FbTmCTN2dtXkGxk8nqnTnyR5uI1qOTPwOvOkTOuFRPiMDqPQoruaHqNW+RSfrRj6VkspNHK/OtzhOkwqWw8gvC2YD2/b/ANVCbc6jiKIIOB58iY+WutI4cY86VcDtFpWDDEc92KOD2dNFM8DZkNZYb7qeS/4NPG0TZXHH26rFGDCr1RIBcpo389A4MZzrQIIxHO/Rb4HnsocYGomI823TaUlyk67K5+9T2jw+UOK9/t2zdXBtpNG/mnQxsVboB5lsDpzmXMMDUTeo3PlTHyl1qN84x6FWDcRzoLp4OA4jup7aO4G0tftRGHA+lWvGdMe+r4KtwwT0a0gFxJlOlbtbP1JfvXi6b1MD9aNlcL6lNFInWXnA4HGpwLyLbr1hr/30DqHGBqJz1G50qE+UutI4cY89xsmzjStegdShzpSsGGI5yuyHMpoNHfDB+D/zUkTQtkcegpZR3UWeDge0VJE8LZXGHPtf10+dXn9w/wA/RvBjZZGI1wqdBJhdwj5inkLMW0pbiZOqxpfCFyvrV4wY9dAfpW1s360eHyrYWj9WXD5ivF7H9NwfrT2c8fWWiCNatp9hJm7O2ruDYvivVOnQSpm4rrUb5xzm802YaHnkY8DUZMbbM/Tof0Wx7D0EU6XC7G4+hqeB7dsregW9w1u+dallDJtMM8f5FbrFPxtm+hp43iODjDm2v66fOrz+4f5+jW8uwlElNILSfNGcVNXVuF87F1Dz0uJo+q1DwjIf1AG+lSXUbqQIgKtpFmTdpfoakjaJyjdA42Z2goHEY80jMMDUZyNszz5EzjConzeSdegYBhgajOQ7Nugt51kXd59Ow91Twtbvlbo1Rm6ooWdw2iGh4OuT6teLZ/h968WzfD71b2tzbtiMMO7Grrwcy+cgH0qJpBCTd9Xsx15tp+unzqe1jWVpbg4An61vFqvVi/NTxxSxbeIYd49GtbgJjHJ1TVzbm3b4HTokIvo9m3XGnxogqcDz9aXzTZDpzpEzj41G+ccdefKvrrrStnGPQSJnHxqN83A69BA4u03eTXsNMpQlW58VlLMM2g7zWzs4eu2Y/Ct8iT9KIfWm8IXB4A4fKmuZm1c1mY6msTWJpczHAUmFgM0hxfu/7qed7hsznm2CZ7lRV7I0k7Y8kP8AZy/T0e2cTpu0n0p0MbFG6FWKnMtSAXsW1XrjXoHTOMKiYnyTrzpBkO0WgcRiOefMtj2HoZFwO0WlYMMRzwSDiKkAvYtqOuuvPmuZJz5XQQXIgQ5V8rvokscTzrGRYpw76UxzMTyFhHZhRqx5LS33h8Dp21ewrBOUTT0TSphvUAnHWGv/AH0UMzQOHWrmFXXeIeqfx0EqnrrrSMHGI5y+abJ2c9gGGBqMlDs26EeabDsPQW8xgkDiryERPmTqnT0prnzQhjGHf8a8Jf3J+notrPsJMeztq7g2L4r1Tpys6rrW1TvoOp7ax5ltcNbtj2dtXVuF87F1D0B8y2PYedImdaifMOPPkTOKifNwOvQMocYGonI8htegtWFxGbZ/pTAqcD6SK8Jf3J+no1rIsi7tLodPhUsTQuUbkKhta2ad1bFD2VsE7K2JGjGskvY1eepc/r1bXOxOVuKnUVdW4j8uPip55AYYGoyUORudIMh2goHHnyKQdotIwcYjoJUzcRrUb5xjz1Yqcwq5UXMe8pr2+lSzvNhn7PR/72H/AHr+R0drcBMYpeoaubYwH4HQ8+RM4qN83A680jHhUZ2bbM9A3mWzDShx6Bxs2zigceI59tObd8eztq6txH5yPih9oRStC4dKuYlmTeYfqO7o7a4A8zNxQ/iri3Nu+B058iHrrrSPnGPNlTMOGtRvnHPIx4Up2TZDp0BGPCkOzbIegtJl4wS9VvxU8LQPkb2Q1vMnWU1gRrz7afYPx0OtXcGxfyeqdOjgmSVN3n+h7qnhaB8rc9wYznWlIYYjmv5ts4rHHnumcYVE56ja9BImcVE+YYHXoEIvYdmeuunxHseG3knxMY0oXlzHwzGvGM/rcfpW/K3XiFbazfrR4fI1lsW0Yit2tTpN+K3OI6TCp4GgfK3JayCZN2l+nwNSIYmKN2dHDcJMuwuPoe6p4Gt2ytzxGUbydOaRiMKjOzbZnoJUPWXWkfOMeglUg7RaVgwxHPjkMTh17Kuo1lXeYtDr8D7G8GzbObL31Pm2rZ9efLOJYkQ6ryacRUv9XBth1l1520XvraL31mHMt5llXd59Ow91TQtA+RukkTOKjfOPj0DDZHONKBx49B+i/wAD0FpPsXwbqnWrmDYSZezs9iglTiKvhtAtwvb/AD0VvO1u+YVdwKPPRdU/jma1sk7q2MfdWwj7q2A7DWycaNXnl+NCU+stQsLyPYSdYaH/ANUylDlbpJFynaLSsGGI55GPCo1yDDoMMdehi/rIDEesunsa089E9v8AUdHaTqmMUvUNXFu1u2B07OjBKnEUQvhBcRwkH5plKnK3SHzLY9npKO0bBlq8QSKLlNDr8/YschicOtX0YzCVNG6O1kEy7rL9KkQxsUbs6MEqcRQK+EFyt+p/NMpQ5W6MjHgaQ7Jsh09Js5RiYZOq1TRGGQo3Z7FtJBKptpNDp86kQxMUbmk4UpzDEcwcOIqUb5Dtl6w16QEg4im/ros4666/EdI6Bxgajc45H19JlG9wiUdZdfYzf10WcddfyOa52jbMUBhw5tvObd8wq7gC+ei6h6SGVoHDrV5EuInj6rexbeY275hV3CqESR9VvYsMrQOHWruEfrxdVuWSTIOGtRpkHPtJxGdnJ1DVzbtbvgdOznZ5fdrNN3Vmm7qzTd1bSQarQm44EVZssqG2kOunzqRGjco3Z7FtZlI3ebqn8VPC0DlG9i2twI/NydU1c25t2+HZyRjO2c9DbuLmPdpNew06NG2Vtej041PG15Es8Y46GtzuPcrcrj3KHg25Pq14ukHXYD61uSDWUVucX7wrc4v3hW5xfvCtzi/eFbnF+8K3OL94VucX7wrc4v3hW5xfvCtzi/eFbnF+8K3KPsmFbiDpKv3o+Dp/VwP1prSddUNFSNenjhklxyDHCiCDgajIvo9k3XGnxogqcD7Ftpldd2m0OnwqaFoHKNzycOJpWDjEcgOHEUCvhBMD+oPzRBU4Ho0lePqHCt6n981vMx1c1mJ7fQASNKW6nTRzQ8Izevga3q3frw/av6F+8Vu1s3Ul+9eL29VwfrS+DJW7R968WXPd+aawuV9Wt1n9w00Mi9Zaw5qSNGcUOFC+2nk3C5v5oW8bkPavx7jrV9asw3gDDv6TI2XPhw9AALHAV4tufdo+Drn3a3K4HqGjbTDVDWR+6sDzIzvsWybrrp8fhRGBwPNJwGJrAzcTpWnKGKnEVIBfR7VeuNfj6ZiOhzEdtK4v0yMcJB+aLTQNlxINb5ce+aW/uV9evGUp64B+lb+DrEtb5F+yK3i1brRfmsllJ1WK14ukb9Ng1S28sH6i4ciXs6Lkx4dJH5yzdPdOPoMhNzbCResutB3HbQuJh6xoXtwNHNDwhcj1q8ZXHafxXjGTtUfavGDe4v2rf/8AjX7VtWEm0XhVyguE3mP680+ebDsFac2KVoXzpU0KXQ20GvaOcwkx8k1lm76yzd9eeFZ5PdraSe5W0k92vPH4Vs3OrVsPia2A7zWxI0atnJ2NWWbvrz3wrz3wrz3wrLMe2tm/a1bDvNbBa2EfdQGAwHQ6Uk8d0uzuNew1PbPAfK05+JFNK7jKx4dDbbDHCb791XFq1ucdR38zwdxkaP3gaPD0C2nMD5qu4BGdonVOnQ21wbd8eztq6gCYSx9Q8sr5RgNaRMi4c+ORoWzIakjS9UyxdbtHsa3usg2coxSrm22Y2kfFT6DYXQHmJeqavPB5jxeHiOWyfJcIauUyTMtAY6UVYajp7WZcDBN1T+KuIGt3ynoba4Efm5OKGrm22BxXip0PJlGbNz3cIKjDdZqikaFg6VNEt0pnh17R7GtrkweSeKnUVc2wQbWLih6OO3ll6i1uIT9dwtY2Mfe1b7GvUiFeMD+2v2rf8etGtPfbXLsF8v8A9V4QRFKkcGOo5Izg4qe3216y9lPeiHyLYYDvpfCM2Pl8RV5CsZDx9VuRbHEY7QVcWzW+GJxx6SCRbhN3l+hqSNomKPr0Ntc5BspeKGrm32DcOKnTnu4QYmkQk535YZWgfOlXUSuouYtDr8D7Gt7loD3g6irm2AG2h4qfxzhbTNohpfB8x4t5I+NbG0j/AFJMflW9wx/oxfepL2eTVq15kMD3DZUpp47QbO34t2n/AKoknieQa1fMIosw1flfjYrj38t3+jD8ulUpfIEfg47e+nRo2ysOPQ21wuXYT9X+KuIGt3ynmnhSDatnPNsXGYwvo1SRmJijexre5e3PDTuqW2WZdtbado7ubvlx75ppHfixx6C3vFhjMTLiDUxiJxiGHMubk3GX4Dl2jZNnjw5ZYHuoozDxwFPYzRoXk4dKsiXy7OXr9hqSNomyOOPQwSrOm7zfQ1NC8DZH5kpxwjFAYDDnN/XRZvXX8j2PFK8LZkNNGl6NpFwftFacPRwSNKJLa9NHKl2oin63YalieF8j8utbIpxjNCbsfgeZFMlymxn17DU0LwNkflyjHNz7aYwSh6vItlMQNPRArHQVu8p9U1us/uH7Vudx7hpfB9y3q14vYddwPrW7Wy9ab8VsrL9w/astiupJrbWa9WPH61vyL1IhXjGTsUfal8Jyg8QPtUlw8qbW2wPeMONeMZPWUH6VvVu/Xi+1ZbGTRitbkj/pSg09jcJ6tKzxNiOBqVReR7dOsNR/79jxXCTrsbn6Huqe3e3bBuYVDcDWzZOMZpZgeDcDywzpMmwuPoanga3bK3RC+UgCWMNhW8Wh1h/NbWz/AGz962ll7h+9Y2Hc1f0H+6slkfXIrZWX7h+1bKy/cP2rZWX7h+1bKy/cP2rZWX7h+1ZLEauTX9B/ur+g/wB1bSxXRCfrW9Ww6sP5rfkGkQrxg3Yg+1eMJe4favGNx2Gt9uPfre7j3zW8zH1zRkdtT0MUrwtmQ1/T3v8Asf8ABqaCSBsrjlSeSPqthQvy3CZQ1W72u0Doch7uyr2JIpfNnEH2PBdDLsZ+K/xVxamHyl4qe3msgfWsrxdXiKSVX5ILpSuxuOK/xVxatB5Q4qe3o3ck5EodEzBRiaTMxznoc4zZOkhvCo2cozLUtoCu1tziv5Hs23ujD5DcVPZVxagDawnFf45zxq+tYyR68RSuraVb3Ri8huKnsqW0DLtbfiv5HQyOeoutRoEHRMwUYmlUynO2nQyPkHDWo0y8Tr0SHaPm7OWGZ4GzJU0SXCbeEfMehkFdfSre5aA947quLdSu3g6v8c/IuObkileFsyGsbe918l/xU0EkDZZBzpHyjAa1GmXideiZgoxNKplOZtOhJwGNRAsdo3RSMWOzWlAUYDmQTNA+ZauYFZd4g6v8ehXfnYI5vp6Xb3DW7YjSp7dXXbwad3d0UN4VXZyjMtSWYcbS2OI/NacpOAxqIZjtD0ZAOvRSecbZj61p0Mj4eSutRpkHOtrhrdsRpV3AE87F1D0VrCk8mRzhVxZS22unOh8uzkXu4+mQXDW7YrVxbqy7eDq/x0SSPGcymhdRXHC5X6iri1MPlrxXv5GUMMDWnoqoF4joTpUcQTidegtJlGMEvVb8VPC0D5G5wjc6Chazn1DW5XHuGjbTR8Spq4uZI8ky6MOIrYw3fGHyW7qkjaJsrjmWHlF4u8em29w1u2YVcwLl28PVP457yZKBB4jlt7kw+SeKnsp7ITeXanEd3bXi+592h4OuT6tDwdIOuwH1rcox1phW623bN+K2NmNZfxX9CvvGt4tV6sX5rf8ADqxr9q8Yye6PtXjGT3R9q35W68QrbWbax4fWsti2jEVu1p+9+K3SA9WYV4uc9RgfrR8H3K+rW53HuGjBKuqmiCNRztlJ7tbKT3a2b91bN+6tm/dRRhqOihYXkewfrDT/AKrLkfCStrZLohNbzbjSH81vyjqxCvGMvqgD6UfCNyfWo3dwfXNbzN75pby4TR6uLt7lQrDSobOWXytB31ezo6rEpzYdvM8HHC5Wn4MRUVpiu1mOVa21pHwWPH51dRR5Vmi0PpVtcGBuPFTqKubbZ+cj4oeeYinGM0JsODjDlBI0raye9Rkc6n0ASONDW8zD1zQvrkevXjG47TjXjDHrRr9q3uE6witvaNrFh9an3fgYMfrViyq5JbA1/UN1bgVlvP3h96PjADMGxrxjc+9XjG596vGNz71eMZu0D7V4wPbGv2rfYz1ohW3tDrF+az2LaqRWSybRyK3e0/e/Fbkj/pyg/im8H3A0XGthPH5WUinwvotoOuuvx6Gy2ZjwjA2nxq4lndsJjzbQ4XCfOhbqJpJpeqD96nne4fM3IONgf/KowhYbTSt3tG0l/FS2TxrnUhh8PSLW52JyvxU6irq32PlpxU6c8gHga2RX9M0JsOD8Oj19DxI5s9s8GGOh7eesjp1TS3twvrVFK0L51qaTavnww6AYjjTOznMxxPNjbI4buq/uxcNgnVHLF5Vk4HfyQRbZ8hOFXWFnHu8Y11Pf6Ta3ATzUvUNXNs1ufgdD0BAPA1sivGM0JsODjCscegKNGcUpJQ/Dt6CQsBitI4cYjpra5C+Zl4ofxVzbm3fDs9LDEcAeWJjLaSK3q6elWsquu7y6HT4GpoWgfI/QkY8DWxK8Y+FCbDhIMKBx57xh6zSRdbiKV1fTntFxzJrSzdj8DziMRhWLxa8RSuH4jnW8ySLu8+nYe6p4WgfI3pghtcMWl/FTXEax7GDT+fS4ZFu02EuvYakjaJsja9EQDwNbIrxjNCXDhIMKBB057xBuI1rM8fW40sivpzmUNrWR4+KUkobgdec0PHFeBraleEgoEHiObBKtym7zH5GpYmhfI3o2wOw2wPbh7CRlvk2cnBxoe+nRo2yt0ZGNGEA4qcOheJWoLIuhx57xh6DtGcr87WjDhxQ4VtSv6goEHTmIwvo9k/XGnxplKnA9PbbLaDbaVdeDmi8qPiObZeWkkPePYWlK6Xq5JTg/fUsTwtkf00qGGBoK0Z8niOgMI1ThW0dP1BSuracikqcRUoF7Htl641/76LA91ZGPZWzfurZv3UUYdnJbyvPHgh8tdPiKwivdPJk/Bp0aNsra8tk2S4U1cJklZfj7DiuEmXY3H0NT2727YN6KI3bQULWc6IaFncH1DW43HuVuNx7lbjce5W43HuUbO4HqGt0n9w1uk/uGt0n9w1uk/uGt0n9w1uk/uGt0n9w0beZdVNYEchiXHHlgmaB861dQqQLiLqn8cyDdsPPY/StvZr1YsfrW+oOrEK8Yd0a/avGMvYB9q8ZXH/4V4xuferxhc+9XjC596h4RuR61eMGPXQH6VbzxvICkPH4GroWkb7Rut3Cp5jPIZDyocrA14RXC5agpY4Ch4PuWGOWpYXgOWQYewYLlcuxn4r/FXFqYcGU4qe3ocCdKW2mfqqaXwdct6teLpB1mA+tbgBrKtbpAOtMK2FmNZfxWFiO1jW1s10jJ+tb5EvUhFeMXHVUD6UfCNyfWrfLj3zW8zH1zW3l941t5feNbeX3jW3l940LmcaOa3y4981vlx75rfLj3zW+XHvmt8uPfNb5ce+a3y4980L64Hr14yuO0/ivGB9ZF+1b5EetCK21m2seH1rZ2UnVcr868Xl/0nDVCs1oSsqeSdau7fYP5PVOnTLdBbXZqcG/nnXFu1zKh7Mo4010kHkWo+tNI7HEmoTvVu0TarxHJqauoRBLkX0+3umg8k8VPZW3sz/pfmtrZ/tn71tbP9s/etrZ/tn71tbP9s/etrZ/tn71vFoNIfzW+oOrEKPhGf1eFNeXDauaMjtqfT47uePqtUt/JNHs5APRLm9D26Qx93Hl8HfqkfA8ltEZpQlXTGediopkZOsMP8gtJUhV2OuGA5ILl7Ylko+EZzwHCpJGmssznEhv8khkjNu0LnDt/+dIbOWdc6aVLbywHBx/kdqsb2eSQ4cagguFxjn4pR14f5EJmWMxDQ1mbTH/7HybvaBVaPMSKeCKdDJb9mo/yO6VZdk7HBSKtLUxzCSNsVp+sf8i27bLY9n/0sWCGCMSXGp0FTxQtBt4eHHD/ACIa14TB2/wrbLuuy7ccf8jjvpUGVvKHxqWeGROEeB/+Ip7MbPb2/Fat7oQDDIDXjFvcH2rxhJ7o+1eMJe4favGEvcPtXjB+1R9q31D1ohW8Wh1i/Nf0De8K3e0bqy/itwx6kin603g+4X1caaGROsvLHcQqoDRY1vVv+zW9W/7Nb5ENIRW/jsiX7V4wPuL9q8Yt7g+1eMW9wfavGLe4PtXjFvcH2rxi3uD7V4xb3B9q8Yt7g+1b/wD8a/at/wD+NftW/wD/ABr9q3//AI1+1b//AMa/at//AONftW//APEv2rfl/aFb5EdYRW3tG1i/Nf0De8K2FmdJfxW6QnqzCtwHZKteLn7HX714um7CPvXi6b4fevF03w+9eLZ/h968W3H/AONeLrn3a8X3Pu0bO4HqGmhlXVaw9n2F3u7ZG6pq9s4Q2ZGw+HRrI66Glv7hPWp75pFKuo+fp/GsaxNYmszDtraye9QuZhoxpb65X168YynrgH6VvNs/6kX2rJZPoxWtzibqzCvF7nqOD9aeyuI9VrTX0sxuqhyOB6eEi7i2DdYaf9UQVOB9sJcTR9VqF/n4TIGrZ2c3UbKfjUtlLEM2o7x6FBGkrZXbCp7OWDrDhznJexX4Hp1Yocwq4UXUe8pr2+24riSA+bNeEADkkUaj0K08JGIZJeIqeG2lXaAcO8f+xU1nkXaRtmXmW3nLaWPu48uHS205t3x7O2ruARNnTqnT23bkXMJtzqOIo8OkSCWTqLjQ8HTavgvzrdrZP1JftWaxTRSa3m2GkP5reof2RUXhFIurFhU7ItuzgYZ+zmeDuMhTvB5Io0totvKMSdBUFy14TDLoemtZVZd2l0OnwNTRNA+RvZOtJYSEZpPJHxr+ih73P4o36+rEOmjcxsHWrxBIBcx6HX59AqM5wUY0vg+XWQhR8a2dnF12zfKt8jj/AEYgPnxp764f1qJLa82yt9sxduqtXE7XD5jzPBpwuVq2gEkxzdUa1czm4kzVYcLhal4SN00ZF9Hsm640ogqcD7GGJ0pLEgZ5zlFb1FBwtl495qSV5Ti5x5deApfB8mGLkL86Pg+X1CD8jTKyHKw6O0nCHZydU1cwG3fL2c6A2yrml4nupr+TDLEMo+FMzNxY9CbuO3gEUGp5to2WdD8avALWNkGrn8clj/cpUvCVvnV5HtMkyDrfzW5ImAnkymp4TBIYz0asVOIqVReR7dOsNf8Av2IATwFJZEDPOco/NG7ig4Wy/U08jynM5x5tkAge4Pq/zTu0jZmNKxU4io3F8uyl6/YaIKnA9HbyLcJu8v0NSRtExRvRVOU4ip52uHztyWUiRTB5NKlKs5ZdKtHCWRkb1TwpmLtmNeEOsn/iOkgmaB861dQqV3iHqn8ewVUucFoWQjGa5bL/ADRvI4fJtlw+J1p3aQ5mONJE8nUGNbtP7h+1btP7h+1MrIcGHLa+VbSoNaijaZwi065GK1bxyu+MQ4ivCCjOJR6wx6RTv8eQ9cfmijDiR6TG3/8APcfHku4nmkjVB6oqaPYvkxx6S1uNi2DcVOtXVtsTmTip09OitZpuqtbvbwcZnxPcKa/KjLAuUfmixY4ty+DptlbOzaCjdC74RuUb561JPdwtkdjTyPKcznHlhmaB860Nkkb3cOp/BpZLPDykOPzqW8xXZxDKtXX9vD0isUOZaScTxllGPeP/AGKltFZdrbcR3do9IDsFKDTkN/OU2ePTWtwFGxl6h/FXNu1u3wOnpSI0hwQY0LHZ8bh8tbxbwfopie81LdzTdZuda/2sw5IW32PYv1hp/wBc2087DJANdeW6/t4R8OTwbEk0pDjsrZQ2420o10FQypekwsgHdhWnQRyNE2dNaB2v9RbcH7RRjjvRmi4P3UylTg3se3nVl3efq/xVxA0DYH0YWiRpnuGwx7O2oraWbqCtjbW/6rZj3Cnv3wywjKKJJ4noI5zGjRj1uSGTZSBx2VfRiOc4aHjzIpDE4deyprcXXnrf6io7Kd2C5cKvZVeTKmi8OTwa2W5FX8hknPwrwb/crTxOpOK9DHI0TZ01oqt4NrDwcdn/AFQkS783ccG7/wDupoXgbK/seCdJU3efTsPdU8D275W9EslgzZ5m07KmurbOZFXMfjUt5NLwJ4dNe+UkT/DmqzIcVNNdTMMC55UcxsHXUU7mRi7amgSpxFNezsuUt0SO0ZzKammiuI854P8AzUN0rLsbjivf3VcW5gbvB0PseCdZU2E+nYe6p4Ht2yt6EpCtiRjW1s36yEfKstifWNbGzOkn4rdrX978VusH7w+1bnF+8K3KP94VuK/urW4j91fvW4Y6SrXi6Q9VgfrTeDrlfVpraZOsprAjkBwONXN21yFxGGHKkMknUXGh4Ol1fBfnW4qeAlGNSxNC2R9fQ7e5AGxm4qfxVzbGA4jip0PseC4V12Fxp2Huqe3a3bKfTRI40NLeXC6Oa8YynrgN9K3yJuvCKM9of9L81trP9r81trP9r81vqJ+lEB+ae+uH4ZqLFteSWV5sC/oltc5BspeKGrm32JzLxU+x4LhWXYT9Xv7quLdrdsD7ctrgKNjLxQ/irm3MDYdnZ7Ht7hWXYT9X+KuLdrdsDp7ctpVlXd5tOz4VNE0L5G9j29wpXYT9X+KuLdrdsD7cjIvo9k/XGn/VEFTgfY9vcrl2E/Ff4q4tmgPeO/22CVOIpwL6PaL1xr8fZEF2YhkYYr3VcQxhdrCfJ/PtuKVoXDpV1Gsq7zFp2/D2QATwFeLrn3a8W3Pu/wAV4tn7cPvXi9+11+9eL/8AkX714v8A+RfvXi//AJF+9eL/APkX714vP7i/evF79jr968XTfD714un+H3rxdP8AD714un+H3rxdP8PvXi6btI+9eLz2yL963OMdaUVu9qNZvxWSxHrk1jYD3jW0svcP3rbWf7Z+9baz/bP3rbWf7Z+9bWz/AGz96z2PumsbD/d+KxsP934rGw/3fisbD/d+KxsO5q2lkPUP3reLUaQ/mt7h7IRW/J+0K38ftLW/j9pa34ftLW+p2xCt5tj1ofzW0sjqh+9f0B96stj7xrZ2XvmtnZe+a2dl75rZ2XvmtlZfuH7Vu9of9b8VucTdSYV4ulPUIP1prK4TVDRRl1HOtbjYNx6p1q6t9ic6cVOnsjMazHvrEn2ktxKnVY0PCFwNTjW/K3XiFCWzk1jI+tJaW0xwTEUfA69j0fA/c9eJ5OxhUELR/wBNLxU/ip4dhIY/Qv/EAFMQAAECAwMFCA0KBQMEAgIDAAECAwAEEQUSIRMiMUFRECAjMDJSYXEUJDM0NUBCQ1BicpGTFVNzgYOhscHR4WBjgpLwVKKyBiVE8XB0gKNFVdL/2gAIAQEABj8C3G3ENZd1xwNpRWmMXky0kyOaskn8Y5Fn/wC6O3w0JivmdFP4hsOV08IXSOr+H0Kmng0F4DCO/U/2mO/U+47s+6cRKspbT9f+HeLZSl6YKMFFlFQIPYzt5Q0oOCh4hp8QJJoBrMKXKvB5KVXSU7d4crOsIOy+KwsSj4dKOVgR4g2iZeCFr0JAqfQlHW0OD1xWO82PhiHO02OSfNjdtic+dmSkHoH/AL3Uy0ue3Jo5NumraYaRKqS6jW6k1vnWY7OkO17RazgpPl9BhuYpdc5K07FcQwiVVk35h5LSV82L7VromCMbjzdAYdQ4zk3muUpOKFdW67MPG622KmOyp95yVkVYtSrRpUbTHB5dpfPS5jDaZt5U7Zbhuh5XLa64BBqDxNp56siw2lsIrhX/ACu8qcBC2WVqYsho0W4nS8dkJZl20tNjUN2zLLyim5d8qU7d0qpqigkkK9vO/GLrDKGhsQmnHqs+yEdkTmhTnkNRl5vt6cVnKddxx6NxbqzdQgXiYysjYy35byXFLu3oU3MyC21JNDcXWETLN4IVzxQ+LBRSXX3DdaZTpUYDr1ookCdDLSK0i+iZZtNA0tqTdUYUypCpacb5bDmniJt0+Q0o/duPunyEFX3RLk6XCpf37snJNKyfA4q2A1rDcuym62gUG5bSByBNGg4iWfYbLqpZ9LxQNJAjucwV07nk/uhyTmJdcqic4VhK/wAN2Vb8hyaQlQ2jGABgBuTDLgvIUgxKlZqRVPuO/wBseAXafSRPzD0lMrEw+VFxtNQnohEuy4vLL0JUgjdZsSVXcygvzDg8lGyEMt0aZbGuHGJd9LrjYqq7o9+7LzDc0uUmGahK0dMZWXteaM4MQVqzSeqFtvpyc6wbjzfTt4hAk7O7NSRirKXaR4B//cIqLMl0dCnMfxhC5uX7Gf1t1ruqsyy1XW098TY0J6BAZl0U5yjpUemMDXcnKawE/fEq2NCWkj7ordFerxedtR3ObYVkJcbNp/zbuy1sMi6/LOC+R5SISoaCK79MujlzLqWhuTZGlQCPeYlWR5DaR9262OdKU+87i3FGiUiph6aUMZp9Tm7PNBso7FdydSeVvtAhieR3aUdSsGErGhQruLYBuujPbVsVCmJgZOel8x1B/HcmHFGiUoJPuiVrrvH/AHHiCYUrnPLMXrib22m67N9kTLLrmnJLp+UcO9NTI2OuxaLUs2G2W2Eig+rem5gHpSquk1/beOzTtShGoaTDboBSFpCqHTxCmbPKUurNFKUaUTAblZiTKRjkynT9dIXlbFxSk1WhzCG1K8talD37jks+Ktr0xRdozy0DQnKw1Z6nnH5KbHBF01KVDxJTjqw22nEqUaAQFJNUnEEbrhGm6YS++4EJC1Xz01io0QVLISkaSYtJuWWXMiUArpmnOGgxL/Rp/Df2LKaUpUX1fVo/DckJbU/NISR0byVtpCCtlKci+BqTthLzKw42rQoQixZNVXnu7qHm0Q0w0KNtpujdtd/5ybV/n37wqUaJGJJgOsuJdbOhSTUbkwhRznClKRtNYlkqFFBtIPu3FXOXTCu2Fz7zYbtRFWHruH3QVLUEpGkmPkuzTeYr2xMjkgbBDbLYuoQLoG7Z8k02HHJhWdXyU7d6RtjsbLF4XioEim+t9ayEhOTqTqwgPWVkZhatF85pEdvWK8Bz5c34znVtK5q2zGY8p1WpKEHGHLZnk5JxabjLPMRvLMsoaHXMo57I/wAPFz6hpDKvwiQA+bB98LccN1CBUnZCHmFhxtWhQ3LBaT3TLFVOjDdcdVyUJKjDM2Gy0HPJPXuNJmA4S5WlxNYysq5fTrGsb5CHHUIWvkpUqhVvUSyeXMvJbEIbGhIAG8cdlnLslNOpyrGxW0QtctbGQZ8lrJA0gG1bSdnEDzScxMOS8u2lpJWlKUpHTDadiQIlmVvZOVljnY0GKamsGYmFrl7KBo2yg0LnSYtKUvFTUvMlKK6hvJhWqWlgj6z/AO9yxnXUqLDS1LWQK7IHbd320kQpfZzKqCtEqqYbfbrccTeFRBSoBSTpBhSpeZmpNKsShlyghWQBK18t1ZqpW8fXNOFDNTcYCqg+tvFIWLyVChEH5LcTNyda9ivaR1GKJsRKDtU8KQ3O2w8l1TWLcu3yE7xUwC7LPq5S2F0rAy81NzKOY67hAal2ktNjUkby0LSOLbHazP5/508ZNOImw1JzZSXkjlGmqEMtJuNoFABuZ7SF+0msVQy2g9CRvbUmdKZdCWU9G38+LnGWk3nFtEJG2AzNynYqWUpQi9pVtggioOqFu2LNiXQvEyzoqiKUs8dOMLn5+Y7LnlC6D5KB0bswNK3uBSOuJWXPKbbAPXuIvOLZebrccR0wpQfZdlXBReBvdG7MKZImpa+pYS4oG8Nm2G1uN5JxSQVI5p2bjNoylx3J3SG1qpiDDZm0JbmPKSg1G8s+V0tyiC+vr1flvXUM4uoIcSNtIQ+g5+haOarcsuy0YlTuWc6Ej/DuTLFFZPKDKKGoUhLbaQlCRQAaotZqeC0ZZ/KoUE1qIRMNXsmvReFDu2+dd9A3Cy/NstujyFqioalplJ1gBUV+T5f4YjDxecdSaKS0ojrpEndFL6b5+vxWaeavXpld9dTr8Tsmzhz+yHOof4ePta0zocdySD6o/wAG+VPWTMdhzSuWg8hyLmRka/OVMOTUy72VPu8t46ugbhUEgE6Tt3MRXcopxIOwmKg1i3/pE/nuWwmZYQ8kJRS+NGEX5cvSTnOZXFZabRabXzb+CvfCW7Qs+Zk1nCt28njco84lpHOUaDinJd2uTcFDQ0htlsUQhISkdHoi07QGLLfa7avx/wA6eOnFtVymTNKRJtXbpyYUrrOJ41xDTmScUkhK6VunbFZvKTcwcVuqWRUxfsu0H5JXNJvJi0H55Ta1vlOc3r3LecOkLSjevyLqqsKYDjQpo2/nxc42vRkyr6xjEk44aruUr1Yeki3LNhtBUVEdPoG0p3/UTKqHoG9sR8YX7zSv8+vi51Wxlf4RIg8yv3+JWo264pZbm1AXjWg8WRZraVOvUqtSNDfX6Km3uY0o/dEmNagV+813tiP6kzQT74Qxk3JmZXiGWRVVIS1NysxZ9/krmE0Sdx2aIvqGCU7TEvMFN3KoC6bK76eO1u778IlFTCw2htlNSeqG2yy+y06bqH3EUQrxG3v/ALZ/PxWZmT5CMOvVCX3cZqa4VxZ046PQ991xLadqjSKGdSfYBVGTl5pKnOaQUk++HG08t9SWk++GGR5tATvZZ2nc5hKvxh+15gdsTas2vko1Q5LvJCkqHuO2A26auS6yyT1RMMNHtezmy44ravZ/nTEh9Aj8N0sZROWAvXK403X+lSPxgTD9fkuWzWmvnFbTEwwEiqU3m+giGJkJyr2T5NeUoRgiWsxHrZ6ofE2oLfYeU0pQFK8db3/2z+cOOMyS3rOaXcXNA/gIStOKVCo8TkbPTypp8Aj1RAA0Dx6XlHF0ffrcTTiCLPyfZBOl3QBGWtaZctB7YTRA+qKNyjKB0IEWIttpCFmbSKpFMKxYzHPmwfd/73ypYOBtV4KCiIZYTyW0hIheTALlM0HRWHkzV0OuvFyiDWJ5qXaTlnk6sLxhlt+WXLLZAaovXQad21LSc7op4spHNSP8G6qVdUpCCQap0w2wym42gUAhSecKQ3KJWXAiucdy1akDtxcXcu3e2XhuzaW0KSJd3JVOvirYs6W77nZ0oFNSampiZlW05jbJ+s7YkK6cin8IURbYQgnABkYRlXLeacVqZcbxVEvMTDeTdWKlPiAr3KQYqehR/wDcFpjKzrg1S6b0OtJbdYebxLbwoabr7DbgU6zQOJ2eNPrcIWmXZqn1cP3PF2DL68vlPdSLJmksOvoYdKlhpNTqjOZmknYW45Ez8OKMSk4+rYluBkZZuy2Oe9nL93FWgze4VM0pRRrpxDjq2VXlm8aLMJWmVqtJqCpZO468rBKElRgPKGfMOKdP+fVxVoWg/dJdWrJU1AmJtphvKurRdCYl2ppjsdxsXLta4DXuG0Wl5K0GxfTjy7vREtM/OIqevXvGQ+u5ll5NGGk8WTFozGXUzZ7rufd0uAaB7oDUs0lpA2DTFnKRgXWFBfTp3HXl8htJUYftGefQyucdLmccaQtyVcyiUm6cKcTeUQkbTFW1pWPVNd1tuZWQteNEitBthLjSw4hWIUncu1F7ZxNtzvkl0NJ+r/BxdlpPkMrV+PHuPoaSl5zlLAxPF9jt90mnEsiGWEcltISOOYebmux8mkoObXTDMs3W42KY7yy5XSmXSX1fl+HGXGkJbTsSKbkk5ISynXENEBZGZjXXC+yppU1MOm8snQOqHJd0VbcF1Qi+JbKH+aq8ItgAUAm1YDercl1FSErKK017zsZ8rCKhWYYbmJVbzdBRSL+C+vccZXW44m6aGkKcQ2pwqTcIdN4UhxyWmHRLL/8AGJqkHc7MlrRX8pXiS6sZqhspFJ59Mw/Um8kUA6NwrcUEJGtRpvX3vm0FX3QytWCnSpwn644ScYR7TgjwhK/FEBaFBaToKTXiJD/6yvz8aYceRfUwq+joPilr2icQXMi2egf4PEnphiZ7UfJW4woeV0HeKS13eYORR1mGJVPkJxO06+OlLPTi5NPpF31YAGgbyeNaVRd9+ESxtOadyAQMnKtm6KdMYSSVe2SY7wZ90WvZ7RIlW7q0IJ5NRxFjvnkuJUzX/Ov0a+3KKSmYUmiVK1Q1LJxKeUrarX4tZsp5uXQZhQ6dXHzdoHGXleAZ69Z/zbvXmZdsuukpokdcNpOkJA3CTgBFpWqcBMu3UeymJh5lKVOIQVAK0RlkzSbOl0ZtWkYrMTtlzruWeYzkOEUK073shvu0osPJP8CPzBbVkexgkOUw08dM9ioU5MFNEhOmJeXpngVX7WviHmCSkOIKKiB/3B19lKSAyRRIic+hX+ESnrXj95iXtSzmRMOBBacaKqVEKVOynYjl6gRfvVG8caXyVpKT/DwShISkaAN1RQLyqYCFFNktJoaZ6rsZ9iJV7DwjtqyJtnpAqP8A5XU64oIbSKlR1R2NKul1yleQafxHNykxL5F5vNdl3McIykk8/IO7WlxwE+zPJ5swmhjt2xHCOfLqvRddU5Kr5ryCI4Caad6Er/h9FtSXd2e7I+cRDUwybzbgqN2jzKHR66axjKBs7WjdjtS052W6A5URwNsIe6HmoxRIv9VRHCWKhz6N0R21Y0410pTei6p5TCtjqCIC2XUuo5yDX+GCDiDBsxZ7SmiVy6uaebxV19ht0eumsF2z33bOe/lKzfdFJuVFpsDz0vy/dFFvKlnNaHk0pGbPy5+0EUTNMqPQ4IwIPV/ClxJuTDZvtL2KhQeFybYOTeT08Zw8u077aAYxkGvqFI7zA6lGKsrmJdW1tyO0racKeZMJvRwknLTydrSrpjtux5xnpSm8Iz1OtHYtsx35TrQr9Iwn2v6jSOCmWnPZWD/BybalkktHNm2xrHOhDzSr7axUEeJZyAesRjLMnrQIz5CXP2YjvW57CyI4CanJf2HY7WtyaT9Lnxwdoy0yP5rdIxlZJ72VU/OOEsVLnS27Hb1lTcr6wTeEYTiUfSZsVbfbWPVUDGH8CqQsXkKFCDCrHmq9juKvSrp0ezxAZLiQ6oVCK4nfi+tKKmgvHXxvDSjLh2lAivYxR7CyI4CZm5c+o7FZS3HvZfF+MUSc8nozVR/3CyJhgc9vPTFGZpF/mLzT/AS2tDyc5pexUAO4TbPBvJOmu/Q8wrJTrOLbn5Qpl9ORnWcHGz+O+Wwc1XKQrmqhcrM5s7L5qwdfT4kcvKovc9OaY/7da7yEjQ2/nCOFkpeeHOaXdMZ9gzIPqmv5Q3K2nJqkXHDmrOCfv9Py9rN1Eu8clNAfjCXEKCkKFQRr36bQksyeZxw8sbIS8jBWhaOad83a8onhme6pHloht9o1QsV37Djq62c9mH1FcdkZlsOJ1bRAS/en7K1ODltdcJel3A62rWPTrjLibyFihBiYsWY7rLGrZPlI4g2rJpqyrvlkfjCHmlXm1ioO9ocRFw+C5pWH8pW/cl3RVCx7ocsmbPbDHc1Hy0ccQRUGFTtimlcXJM8lfVGRVWWnE8qXdwPp1i2ZUVelcHE85uGpho3m3BUb8pUKpOBEdiOE/J0wasrPkK2b5yXd5Khp2dMOWZNntqXwBPlp279E5KZs9L5yDzhshLqc1YwWjmniCo6AKxlZdd9OjpG+vKGSmU8h9HKEJlLbTmHBudTyVdcBSSFJOII8anyDQ5FUShfBCqUBOtOrxZLjdzLLWEIynJ+uKzNjFxHPl13oo+H5VWx1uM2ebHt5v4xwU0y57Kwd8pChVKhQiPkp9RMk8ayrh1Hm8QuXdGB0HYdsLsud76Y5KvnE75E/KYTsviPWGyEPowOhSead+LTYHarpuzLY/wCUJcQbyFCoI4hVp2aOl+X1KG2G5hk1Sr7t8pp5sONq0pVBcl785ZJNVM+U11Ql+XcDjZ+7xFctaicuws3m3mxQ0jKyzqXUdGrfz/0Kos/6FPi0pfwa7ITfUNQhywLQcUm8mkvMJNL6evbDcuavpQKXnc4mOEkmFfZiO9Aj2FERWUn5yVOq65hHAWm1NjmzCKRR+x0v+sw5FJuRnJU67zeEZk4hJ2OZv4xVCgobQYW0M15Oe0rYqCl7NnGODeSdu3iETMtmTzGc2oa+iAulx5Oa43zTvuzmh2hMGj6B5J2wFJNUnEEb5bbibyFChBhVkzCqsqzpZw/hxOVT4MmlZ4+bVAINQd+q0bJTeQcX5PUrpEZZhXQpB0pPT4gph3A6UL5pgSuUXZNsJ5Lg7nMCLlsyZyf+ql8U/XAcl3kup9U72f8AoVRZ/wBCnxZ+V0FYzT06oDM20pielzcS4RQhQ1wqQneDtFjBQPljbv8AhpNpZ23aGL0o/MySv5TkNuKtmZeQg1LavKj5akBVQ75Z+cTthuYYVebWPdxAtaVTVpWEy0NY2wh1tV5CxUHerZdTebWKEQbImlVRplnDrGzf3OQ8nObc5phctM5k9L5riTr6eIcYdTebWKGDY82qtMZdw+UnZxBtayhR8d2Y1Oj9YS+yehSDpSdnF1efbaHrqAjGfZPsmsd8qV1NmMMuepuNEx8KAhfZDTqMW3g1igwZS01iowD5GCx0ww3/ANP3kzlauOMK4MJ6d7P/AEKolJCyZcPPNspDjznIRF5628mea03gI+Sp90TN9F9l/Weg+LNTskrJ2hL4oPO6IKinJTLZuutHyTxXZbIKrKfVwzQ80dohK0KCkKxBG/UhQvJUKEGOwHT2jMGrCz5J2b6iTcmG85pewwUui5Ns5jqOnbv0WpJYTbHKA8tOyG5hrQrSNh2cRmm5Mt5zTmwwpp8XJxnNdR+fEG15IVl1ntpgf8hCHmlX21ioI3+Svl+Y+ZZF4xWWk2rPZOhUxir3RWftmYX6jGYIvKZU+ra6smMyQlx9mIzWUJ6kxyR7o0CFOO3UITiVK0QWpRhEvZ6TnTa285fsxkZZFOco6Vde9nDSt4XPeYlMmm6XEBxZ2k7lkfRr/PxcW3JCtMJpoeWnbDb7KrzaxUHiVNOoDjahQpOuOwXVE2ZMmrCz5tXN4hbC8DpQrmmFyU3hOy2aqvlDbvk2xKCt3CYbHlJ2w280byFio3+WHg2aOePm1RUYjiEWvKDhWu7IHloht9o1QsV36kLAUlQoQY7AcqbNmlVl1nyFc3fkMpvOE1Lq8Vn6+IaL8yfk9Axlk4XlQlttIQhOASnVvnmZdGUdJTRI64ab0XEhO444tJS1JMgI6Sf8O5eRRc05mtN7TDUxMEF2pBIGnHxQpIqDpBh2zFmknM8JLE6jzeKXLPDNVoOtJ2wbHtJVJpvuTh86niEWnJ99y+kc9OyG5hrQrSNh2b0pUKpOBEKs5w9pzBvS6jqPN362Hk3m1ihj5InDX/Tunyk7OIocRGQV4NmjVs/Nq2cQ5LqwVpQrmqgtTB7clzk3UnT1+NTFozrgfXiGEjQ2n9Ya9tX4+KqbGa+jOaXsVBbezJ1jMeQdNdu6lMy+lpSsQDHfrcZk4wr+sRmqCuo7y6eDfRnNOjSkwZCf4K0mcCD5fSOI7ISP+2zR4QDzatsAg1B170t8l1Oc2vYqCh7Nm2DcdSdu3f3a3H0ZzTmwwpiYFydYzXEnX08Q5LujBWg7Dthdlzp7aY5Kj5xPEM23LpzeRNIHlJ2whxs3kLFQR4yrqhr21fj4sm2pFNXWxw7Y84iG5lk1Qse7cGXYbepovprFOwmKewIxk0D2cIq3lmD6jkdr2vNt+2b0Zlqtu/SNxy5J33wv5QQwlPklowh1lWQnWTeaeH4Q5KzacjaDGDiNvSN+tl1N5tYoRHyRNqqnTLOnyhs3zdsS6ao5EygaxthDrZvIUKg79FqyQ7ZZ7ogecTCJhk5qtWw7OIRMy2bOy+c2Rr6IDozXBmuI5p362nE3kLFCDC7GmVHIqzpRxWsc3xp/scKSHVXikqqB1eLj/wDqp1Xwl8WiekjkrRYxSeeNhghQyM23g6ydIO/u1uPIzmnOaYXKzQuTzGC07eneqbWLyFChBhyyHzwSs+WWdY2cR2YyCbOfPDNjyDthK0KvIUKgjiBakuKyzhuzLY/5QlxCryFCoI39ytx9Gc05zVQqTmxkrRYwcQfK6R6QXLPpqhX3QbGtBRLg73ePnE8X8pWfwVotY5vnBsMZROY6nNcaOlJ36LQkc2eY/wD2DZAdRmrGC0a0ne3mc2aZN9pQ27ISvkvJzXEbFb9TbiQpChQgx8nTCqybprLunV6vEKbcTeQoUIMKsl81YXnSzh/DiGrUkR27K40HnE7IRMsnA6U807PQ9Y4OdYV/WIzVpV1Hf0Sbky3nsubFQQ9mzjJybyOnbxarXssAuU4eX+cH6wl9g+0k6UnZv/laTTVs98sjWNsIeZVebUKg70WoyO1nc2ZQP+UJWg3kKFQRv1MOYa0q5phyz5zCdl8PbTt4i6DcfRnNL2GFMzAuTrGa6k/jxHZaPBk2qjyR5tW2ARiD6GZTNrKMtgMKwF9hskKxCm8K+6Kth5n2HI7Wtmda6FKvCOCtZqY6HmqRnSknNfRqp+McJYJPsOxwlgzQHq4/lGXZvJobqkK0pO4m25FAvI74aHlp2w1MNGrbgqOLValkcvS9LanBGVZNCMFtnSk74g4gxfklDsB08KyryereracTeQsUIhVkTCqtKzpZw6xs4hE/J4TsviPXGyEPt4HQpPNPEJteSHDNd1Rz0w3MNGqFj3b92XeFW3BQwqxZ5XCt97uHziPQxeAq5LG/9WuJQywusZMXRs39oPpWnsaZIUGxqVr3CkioOFINnLV2hNZ8uVeSrm70kmgGsx34x8QR34x8QRmzDSupYjA13Ta9lijye7MDQ6ITMMHA4FJ0pOzjKJzZhvPaXsMFLuZNs5rqOnbxHylLprJumkw2NXrQlxCryFCoI4i7os2cOH8tfEBxjNnZfhGVjTXZCHuS6M11GxXoVSFCqVChETljunPlllTddaD/AJ9/FKYcwVpQvWlULs2fzZ+X2+cTt3ikLF5KhQgx3k3Hebcd63epZjgX5mX9hyO1rZe6nRejRLTyf7TCUTllTDJJpeRnCPlSUBMk6rtpgavWEIdbVfbWKgjjBa8kOFR3ZsecTDcwyaoV92/W24m8hQoQYWwp7KtXyW/VGziAHEJWAa0UK8SifRmyM2bkwNSVc6AQag+hbOtdOCArIP8AsmARiDxTc/JG5aEtij1xzYC05jycHWtaTxam1pCkKFCDrjJrvO2M6rNXpLJhLrSw42rEKToPGdkNgmzJhXCJHm1bYC0m8k4gjxhyXeTfbWKEQ/Ys0qrsviyo+Wj0K7LOiqHBSHrPmD2xJLyfWnVxYtqRTnI74aHlp2w1MNGrbibw4tSHEhaFaUqGEZVqr1juKz29bMIdaUFtqFQocWtp1N9tQoQY+TJlV6VcxlnT/wAfGWbTlO+5M3vaTrEMzTfJcFabOj0Ki25MHKtd3QPLRDUwyatuCo3qnHFBKEipJhD7Jq2vQabwpUKpOBEGznSewJk3pZZ8k83jFIWkKQoUIOuOx13jZU0rglHzStnGKZXgrShfNMGzZ8XZxsZqtTidvjLsi4LsjOKvy6tSVc30KQRUHVAllGtlTauDUfNK2b1NlMqpLt58ysf8YS2gXUJFABvVsLwVpQvmqhVnT3B2hL4Gvljbxjks8M1QwOw7Ycsuc78lMKnyk6jxgcKRfGAVTHxlTC81XKQseSqHJKczZ+VzXK+UNR9CuyzowUMDsO2F2VO5s7LYAnzidu6ENC/NvZjSOnbFFG/MOZ7q9p36ZyTF20ZfObUnSrojKJFx1JuuNnSlW9NMTGbZLY63RHg5j4n7x4Pl/ifvHg5g/afvHC2Ko/RrrCGnbPm2FKN3FGEMW3KovlkXX085ENTDRq24Kj0Km1rOwnWRnI+dTshuZawvaU807PQqJyUVkrRl8W1DyuiKng5lvNdaOlJisPWs8ODHBy6Ts28T8syiatKwmmhrHOhDzSr7axUEcWUqFQcCInbMm3g1K91YUvYdUd/s++K9ntfVHfCl+y2Y4CUnJj2Go4Ow50+0KR4Bmvf+0eAZr3/tHgGa9/7R4Bmvf+0eAZr3/tHgGa9/7R4Bmvf+0eAZr3/tHgGa9/7R4Bmvf+0eAZr3/tGdYU39WP5RnWLPgfRxR7LyytjjcUTPs19ZVIq2tKxtSa8e2Jp9LOU5N6AttYWg6FJNRHZzIJsyYVw7Y82edCXEKvIUKgjX6FFsWcO2G+7NjzqYbmGTVKtI5p2b9TjighCRUkxl2QoIqQLwpXcKVAKScCDF9F52xnlZydJZMJcbUFoUKhQ18WDMS7TxGgrTWO8Jf4YiokJev0YjMaQnqT4hRaErGxQjPkWPqRSL0up+UVtacjta3XKbHkXo5UnOJ/tJjtmw1KG1hd6OHkJ1j2m4RcafWK51U0oI7q4PszGE4lPtgiPCEv8AEEUbnGFnocEYGu9uTDKHk7FisF2yJxyRX82c5BhyVt2QJaWLpmJcXkER8lLfS62O9ntF7o4zsfKJy929k6408QW64bqEC8T0RjMqT1tK/SO+/e2r9I7+a+vCM2flz9oIzZho9SxGC0+/ednNJ/7bMkJfQnzZ2wlSTeSRUEb1brqghtIqSYDr15iykHNb1uwlCEhKU4ADVuracSFtqFCk64TIvrvWZMHgHFebOzxvEx3RPvioxHEFKkBSTpBEKmGm8vZDp4RulSydohLyWJeYbV5VwGPB7H9sYySU+wSI4B2Zlvo3Y4O2J9H2kZtvTX1/+4qzbmU6Hmo4WUl59H8k3VRdnJaZkl6wtGEUlZhLiqVu6D7oxhL2QyLqVXrzRu8ZZ7/kTTRZPX/lPEX5R9tPYk6cowpQ0K1iMWGj/QIzpCXP2QjGQa+oUjvSnUtX6xmtuI6nDGZMTaOp2MLRnh9rHhW0Pix2G6VPt3LhLhqTCrEm11TypVw+UnZvTLAn5OlTwpHnFbICUgJSMABvVy8wm8hX3dMIsy1e5aGJvURsO+rJTLLTNOStOMd/S39n7R39Lf2ftGKJSaHRgYz7Fr7LseBF/E/aKJsRVfWdjky0in+4x2xbLvU0m7GNoTpP0kd/znxI4C1pxHWqsZltV9tqMJ+XX7SP2ju8l7j+kd2kvcf0ju0l7j+kZ09Ltewiv5Rw9tO/ZpuxwloTjn2kZy5hfW5HcVH+swhloXW0CgHElJFQdRhU7Y6cowrF2S//AMxVk3XU8tlfKTv6KAUOmC81LtNuqwK0poeJQ7Zi03m8VMqHdIKe4zSO6ML0jeS02OVLTCVwDt8QWycHBnNr5qoVKTWZaEtmupVr6eJuVyb6M5p0aUmHJGd4O0JfBY54526mXl8ZyZNxsD8YbYTidKlbTv1MTDYcQfuhuQn1ZWz1mjE1zeg+huzJJfYlooxDidCugwqTnEdjWi3ymz5XSPERakhVE01iu5pUNsNy8/wb5wQ75K/33Z5GxF/3YxJOnSppNYqpQSOmKJcSo9B49u1LPwnmNKfnU7IDzeaoYLbOlJ4lE5JryFos8hfO6DC23k5CeZzXWT+O4icUir6E3Qa6N/fXnOKwQ2NKjDs3PuEKd5MuNCBDku+m82sQ3ZdpYsHCXmtR6D6GS42rITrWLTw1QqQn05C0WtI1OdI4vtiabbPNrj7ou2XZ0xO+uRdRGK5Wz0Hm5yo7YtubWf5ebGNqT5+1irVrTyFaiXKxNC0phpyzFJvldbpC9o2RMtla35BtVGH3BnK3JlO1tQ+6JV4i+7i22jnKvGBM2084+8rHIBVEI6IJlQuVfHIcSs4GH5Wc79lFXF+tsO4pPyTPqumlclD91pxhxk0Wh0YjjDbEim82rvpgaxzoRMMLvtr4lM9IqyFotYhXP6DCgtORm2jddZOo78vO9SUjSox8p2kKzCu5Namxurl301SdesHbDljzyiZhnFpw+cR6GSoKyE23i0+nSmFWdaVGrRbw6HRtG+oqflgdmVEXGVOTjvNYRWO1LLTKpPnJlX5RW0bYdp83LZoiqZVLi+c7nRQCg3mVfVp5KBylHohM3a1WpUYtSQ/FUBCEhKRgANwjbDbLuMtZ95aU+sT/AJ7t2dAwCpUE9JqN3/qA6suPz4yh0Q5NSzZesl01daTpaO0Qh9hYcbVoI4kWpZubPN8pA0Op2QHm81QwW2dKTvVOLN1CRUmPlOYHazZpLNH/AJb1m0pcdsySr+GtOuGpho1Q4K+hqL4N9GLbyeUkwmz7Z4N3Q3NeQ5ve8Gf7YusMtsp2ITTiGp5icyD7YokKReSIWLQeafXXNU2KYbyZ4TKrecv1pTDZuqmw2OyFJuFfRu2s3PlbBeevoNwkEQ1LSuVmFrOlCME9fGEEVB1GFTkikvWas1eluZ0iEPy677ate9qDUbz5Xs1BV/qZdPljbCJiXVeQr3jo3ktZLBz5g1cI1IhDTYuoQKAb0g4gxkVeCZteYfmlegdMad6piYQFoP3dUIlJ8l+zlGjM1zOhUBSTUHQR4vnoSv2hWMxCUeyKcbQ6Icn7LGUlFZz8n+aYTMS6ryDq1jo3VtrFUKFCIylkTRSP9O8apMCXtNkyMxtVyD9cApIIOsbqrTstF9k4zEoNB6RCX5dd5J0jWk7DumayY7IKbl/o38xL+UU1R7Q0RLrWeFSMmvrHime6hHWqMZ6X+II8IS3xBHf7P1Kjvu97CCY7VkJ2a6UN4RwNhKSNrrtI8FMfE/eMJaSl/aVWOFtZpjoZbrHbNtTjnsG7HCTM477TsKDb0w2vUq/WDI2yXmVnuUwlzMXFWZqbZO1Dsdq246RzX03oz5aVnk+oq6Y7esaaZHObzxFBNpbVsdzYU2sJeZWMdYgWbMLKpB7vZ1Xknm+h1WlY+CtL0p5LnVGUaNFjBbZ0oO8Lb7SXUbFRlLJmCpvSZV41H1RkJxCpGa5juj37ptOyEi95+V1ODogPMmh0LbOlJ4p52RtN6TDi7+TAzaxmW4Fe0yI8LsnrZH6RhaUsrrb/AGju9nn6j+kabPX74zpGUd6Urp+ceCmPij9Y8FMfFH6x4KY+KP1jwUx8UfrHgpj4o/WM2SlGvbXX840Wf98f/wAePfGdaEqx9Giv4iOFt5Y+japGfbk8f6o4W0J53rdjF+bP2sZzK3D67hjvFuO8GP7Y7wl/hiODlWUeygDiVMTDYcQfugJINp2YNF0cI2Iyss4FbU609e72xKtOdJTjBXZ07MSCtiVVTC5aaZRajWlDzQo4g7aRdmWltzDOYorFL3T6H+UbLV2PPp0p8l3rhTDqexp5vujCvy3uTmGkuD7xF6RWZ6UH/jucodUXEqLUwNLLmCtw2lZRyM6MVN+S7CmlJMvON90YXpHFizbNNZk90d1NCEhSr6gMVbeKU++u6hP3wbQmFKYliKNS+0bTxKLPSFOOkXlFOhHXxnZdnr7BnxiFo5KusQJC1m+xJvyV+Q51ejUvsq7Gn28W30/gYNn2ijse0Ue5zpG+q4i48NDqMFCOHBtKSHnE8tMXpd0L2p1j6oTMMr7Gn2+Q+n847BthPYs2NDnkOcSmzpDPnndfzY2xcTnuqxcdOlR4pb767qEwm0J9N2WT3CWP4niQGxlJp3Nab2mFLeOUnHs51f5cSScAIdtAVEowMk16x1ndLMwio1KGlJ6ITZVpLyiFd7TJ8roPiZLa0uAGlUmuPjQvHJTCMW3k6UmDZlqcHOo5C9To34nEMhD+1OG4WZloOJ+8dUZlbTsxPk+cbEZSWcvbU609e+S2ynKTj2a03+cKceOVnXsXXD+HFLffVdbTCZ+fTclE9wljr6TxLjzhohAvEwq2JvFa8GEcxPFfJEkc9Xd3OYmG2GhRCBTeKYdw1oWNKTtj5JtM3ZxGDbh0Op8Stezjov5dvqP+Dxu65mOpxbdTpQY+SrVzZsdze1Oj9eK7MkHTIT3PRyVdYgSdtNdiv+S95tcVBqN1x5w3UIFSYdtiZTnOYMJPko4u482lxGmihXimrJaPBJ4SZUNmyEoQLqUigA4lMpKcLPvYISPJ6TFCcpMOZzrm0766cx9GLTo0pMLkZ0ZO0ZfBYPljbxXZMvLiYunPBOhO2LqFZJ/5pen6tu+st4YZdtTSvHMm6KLGKHBpQY+SrUzJxODbp0PDiizMNJdbOowXLGmipvT2I+apPVCpd5sys83y2F/luKYfF5tWkA0hKEC6lIoB4q+60nPfVeWSeJcS2rJrKSEq2GFOLX2RNr5TytPEN2nI5s9LavnE7IRMNdSkc07N7iaRnzDSOtYjG0Jf6lgx3+174LSZxhd7C6VaYn7OeFyYlHqtPIwWEnRFy0UGekhom2+Un2oS9LuB1tWsbyzp8aZaYFeo6fHcmvMdTi26NKDCrLtLNnW+SvU6nbv2i4wtcurlOp8iEusrDiDoKd1LzS+x55rFt9P5x2LbbRlnhoeSKocjvwf2mO+69SFR2vLTc19G1HB2FNketmxmWA5/U7+0Ztjtt+26I/8ABlveY4e27g2Mtxw9qzzv2lI74nPixhMzg+1/aO1rZnWj6yrwjgrXbe6HWozpWTmR6iqRjYXueEVesF4J/lrvflHbMpNyn0jUd93faQRHf7P1qpGZOsH7QRmOJV1He44R34x8QRhOMfEEd8Nf3iO+Gv7xHfDX94jNebPUoRga8Sq1JZF6RewmWhq9YQXZNaFqWirajyYqu0pdivkobrT7o4S3nB7DdI4e2p1z2VUjhXZp/wBt2O9L3tLUfzjwex9aKx3hLfCEXVSLSelsXT90PPMuOrLgu0cNaCCze7KfOGQaziYmZ51sSTT/ACZNJ0dO8mfVKT/uEMr5yAfujsKz2DPzutKeSjrMZR+1UyhPmmUVAics2fXlZmWNQ5Sl9PjQKTkptrOZeGkGDJToyNpM4LQfL6RvilQCknSDCpix3wzXlS6+QYyFqsKknefpQYC0KC0HQRuUWhKx6wjvVn4YiqZdpPUgRgKcdjjHCSzK/aQIxkJf4YjGRQPZqIzEOsn1HDHA2rPNfaRwdvTP9Qr+cVatpD3qutUEOJtJMvQchbJ0wy23KLnGr9XEtrumkUd/6ZnE/UTGNhTaRtuH9YSlUu6wThwl6O9f96o71/3qjvYjqcVHBuTLXsuRwdqT6PtYqzbs2D65vRmW2lftsiM2dk3/AG00/KM6QlZjpbXT8TGNhg9Twjtyxppn1kZwiinyyrmuoIjI9mS7t/NuFYxgSjiibLmjwSlebVs4lJm1zCbFNK9jauuEu2chBQrzoxJ+vez4/lExZlmSOdPzDCQVDzaaaYDTQzvLc1qO43qykp78YcVKoS6/5KVmgMcLYgWP5bsJlXmXpOaVgG3k6fGEvsKyE+zi06PwMKl5hORtBnB1o/iN+W3W0uIOpQguWTNqaGnsd3FEBi1WFST3P8gwFoUFpOgjirzagtO1Jr4nnJCusbwnTCw3eaebNFsuYKTv+Gl2nfaQDA7TbbINati7C5Z8VQrXrB2wmXy7kxTy3TjxBSoApOoxkmG0tN81IoN7MsfONqT90Lemk9tuYbbqdm7Zq15qVsqQCdZx3FzCWFzKh5DcC05t9FZcnJSqPI6T4yifkeDtFjFJHljYYOGSmW8HWVaUniC282lxB1KEF2yJos7WHMUGAzassqTc+c0oMBbawtB0KSa8Qp+yTlGDiuUX+UZPFiZHKZcwPEB6SzlNqClppipOuA6wqvOSdKeOFoSByNotYgjznQYv0uPozXWjpSfG0KcbStTZqkqHJO7ZcwwkI7KvNuhPleNItiz09sNd2bHnUQiYYVVJ0jWk7OJLbqEuIPkqFYL1kTKpVWtlWKDAYtaXMo5qdGKFQFtrC0HQUmu/qtOTeHJeRgoRSab+UZQeeb5Y64vS7oUdadY+rf8AZtmudizeseSvrjsa02jIzO08hX1xUGo3rjRJAWKVSaGKPXrQs/njlogOy7gWn7xvja9l92A4ZjU6P1hEwycDyk60nZ44pDVjJGOC1vCkC0rWcSuYT3Jlvkt+NqtWQRelld8yw/5CETDC77axgeKLbqEuIPkqEF6yJky50lheKDAZtaVVKL+dTigwFsuJcQdaTXf5ZqspM6nWcIpOsdny48+zyvrEcA+CvmKwVvi3MNJdR0xfsx3siX1yr35RkVAy00OUy5p3xmbOdMjNeryVdYgNWvLFrUJhsVQYDjLiXEHWk735Ws1urf8A5MsNChtENzLCrza/u8W+TVNlKi1lEr1K6PQNDiIVOSiS7Zbhq8wPN9IhD7Cw42sVBHFlDiErQdShWMtZ8w5IOepik/VxN5TWSd+dawMJSzNtzsvXQ/goDr39VjJvJ5LyOUIRK2qcowrBubH5wFJN4HWN6UrSFpOkGC/ZUwZJ3maUKgNWvKqZ/ntiqDGUYdS6jak7zs2XSVWW8eHZHmzzhCHW1BbaxUKGvj1mznAiZTnaOUNkJZnh2K/ovHkKP5b2ybRGGSfuLPqn0EQRUHUYXNSKC/Zi8XZYaW+kQl+WXfQfu8dU08gONq0gwnsE9lyKlYsLOKOrflK0hSTqMF+zXlSD/q8g/VF21JQrb/1LGI+uL0u8lzoGkbim3EhSFChB1wmz31lVmzB7XcV5B5vFYrSPrjF5sf1CO+Wf7xHfLP8AeIzXm1dShuKcmGcrZM6eF/lL50JvE2hY+pY5bQhD7Cw40vQobs6mnJRfH1YxJvHSppNfQarRsbA6XZTyXOqL7Wa4nBxpWlB8V4SYaR7SxGNoS/xBHf7X1GO/ke4x38j3GO/ke4x38j3GO/2frMeEJf4gjwhLfEEeEJb4gjwhLfEEeEJb4gjwhLfEEeEJb4giiJ6XWehwRmrSrqMbRDcyhBYdQq9Vk3a7q5d4YHkq1pO2F2TaBpOschR86nbvEps1MtkqZy3q1rHC2w2x0MtVjhLcnT7JpGdatoK+1jhH5pz2nYxQ6rrcMd7H4io70/3qjvT/AHqjvdSfZcMdrT87LdCXIcRM2+kyyhS5MN4mFSUvRMmcBMujQnohqUbUVBHlHWd15rnoKfuiXB0oKk/fBW6tLaBpUo0EXeyr3soJEZWVdDqRp2j0CLSsshmeTyknkujphbDyOxp5vBbCvy4nOWlPWY4SeYH9YinZJX7CCY4GVnJjpQ1HB2NPq+zjgrAf/rXT8ozbGQ37bwjBmRY6yTGfarLP0bVY4e3Zk9DYuxw85OTHtux3re9pZjvBn601jCQlh9kI7zY+GI7zY+GI7zY+GI7zY+GIxs+WP2Qjwex/ZHg9n+2PB7H9seD2P7Y8Hsf2x4PY/tjwez/bGMi2PZqIqlpxs+q4Y4G0Z5rqdjgbemR7YvfnHB2s099K1SOFkJedG1ld0xSfkJqS9ZSKpht2Tn2mp9nOaWTdPVjCg6AicZN11HTt44TjzSZmUUjy/NkdEUGA3s62pJcmBNrbbYTpUYTNW26V60yiDRCICGpdttI1JTEnOy4CWJxWQebG3buE7ITMupSlZUoUTo8fS6lRlpxHImEaRGFstq9pkR4WZ+EP0jwsz8IfpHhZn4Q/SPCzPwh+keF2fgj9Iz7dCfZZEcPbc6v2VUiruWmDtccjNkWj7Wd+MUbl2m/ZQB49Qiogl2TbvHyki6fuhE1Kvvt00tXsFeKT1oTaB3VRYFa6Tp3WFeUmYQQdm5MPk5126gbVGJZuYcS0ql9V9VMTjByD7b1NOTUDT+ILOYQjtQO5R5VdmrcbbmL4CDeFw0i84l2YP81wxkJZGRaXKVujQTX+JJK0pVnshN3IuIrSg2//ADoJeYK8pdvZqa0EEyr6XKaU6CPq/iMPyiMopEsFKbPlprjDc9ZilS1qpIzEIIvdBhBVgqmP8RMTqgcuykpSQdRi9kUXtt3/API+amGrS7BZQ6W0NpRXRDUla5S407g1OJwqdh/iO2ZRpnLzbL5WlqtLwMPSc5Juys/UXUKTUVrqMS97lZNNfd/EXyiCpLxbyagNBjEf/hW7KWQW2mmMHZlwVFdgg2ZaC2pglrKpdbFP4iXTTQwkAjK31FY16dcJn8Ox+xsnpxrX+Iy+yXJJ8+XLqpCSu1VTUrrbdTj7/wD4hNNOqFWbayQzNhVErHJVAcTaExK0F242c2MZ6dP2sd8Th+1/aO7zfxf2ju838X9o4OcnWztDscDbc6j2lVjgrbC/pGhHKkZkdNQY4axMoNrTsdtWZOy3SW8Ip2Tkz/MQRHAzbLnQFjdccatpxhtRqGwjkx4fd+H+8eH3fhxn29Nn2cPzjOtifP2kZ1pTyut2O/Z34sd+zvxY79nfix37O/Fjv2d+LHf078WMLQnh9rHha0Pix4WtD4seFrQ+LHha0Pix4WtD4seFrQ+LHhe0PixhbU8P64zLemv6sfzjg7bC+hxkRokZgfWIz7FQ50oeEcLYMx9mq9+UcJY0+n7OM6RnUdbUZzcynrbjRMfDjRMfDjS98OOW6PszHfCh9mqO/AOtCown2frNI4OcYWdgcEYGvo/shgduNDD1xshDL8m7NtpXk8sjSn2uL4WXac9pAMYyaUfRkpht2XnZttCDXJZTNPR6B5I90chPujFpB/pjGVZPW2IzpCXP2YjGSQn2CRHa781Kn+W5HaltKWOZMpvffHCSUtOja0u7HD2FND6POjtiSnJbpW1GZOISdjmb+MXkqCgdY8bdlkOpU+1y0axx4tRlJ7CfN2abGo86EuIUFIUKgj0xV+TaWeddx98X7MnpiRPNreRHbEq3abI8tjBfujJFRlZj5p8XT4llpaV7Loc9INCEwA07ce+acwVvpvCpelwuuzRx62nUhbaxQgwbGmVVYXnSjp/4+m6TLCVnUrQofXFoSjjy19jvXEocOKU6vElTMiUsTGko8lX6QZQvhT6DTsWbwveyqEyU3KuSM2rQlehXUd5Y04MMoosL/L8d2gUK8aW63H0ZzTnNVC2JkXJ+XNx1J19Pptm2Gx2u7wU0B9yoCkmqTiDxnDzbTZ2FWMXZZL84vYy3HaliqbHOmV0+6M6ZlJQbEJrHCW8sew1SPD8z/b+8DLWut5SdGUb/AHiTYcfE38mhV98dOhO8l5j5iYQuKwqy5B0sy7XfMwj/AIiJe0pFS0utuAOXlVvg7YrxqLYkB2yz3Vv5xENzLBqlWrYdnomqjQDWYyMohy0H+bLio98cpmymjq5S4q7bE4o+qqkAaaca7LuirbgoYesWbVw0t3JR8tHEX33UMo2rNIyco29PubGURwEizII50wqpj/uNsPuj5tnMTGEolxW13Oi62hLadiRTeoYYWEzcybiCTyemEst5yjitfOO8maaik/7oZLGM1NBKGQNp1whgYuHOcXzlROV1AH7xEoo4ktJ/DjuzmATZkweHbHmzzhCXEKCkKFQRr9DFSiEpGswZay2FWjM+pyB9cBdszdGv9JL4J+uMnLMpZT6o3SpRoBpJgol2pmcu6VMN1EAPszMoD5TzeEBxlxLjZ0KSa8W3OyZuWhLZyCPKHNgOjMdTmut81W+DMipmWl6YzCsVe6MtPOOWi/znlYe6LrLaWk7ECnEuTtpoyUshVENE6QNH1b2fSNOSJiUmFpPY9nMJbTXW5TcnfZH4xKJOgsJH3RaFmTD3eayUlZ8j/PxhxdmWY5NS6NLylXQeqGppAu39Ka6Dxa2nUhbaxQpOuPkyZUTIvGsq6dXq+hCpaglI0kwZeymFWjMbU8gfXActqbJR/pWMECA1LtJZRsSN7Z9lIVcE2vhCOaISyw2G206AIKHUJcQdKVCsCekrxs5au2Jfm9IhDiDeQoVBHFm2ZBN5P/lMDyhthuYYVebWPFXG1claSkwJZkkprUqVpO45LSgBcWRWpphEu29dyqEBKrmiESrSi32ShKXCNY1/hCGWkhDaBQARPjUJxf4DjFy7uvFKtaTthVk2jhOs8hfzqdvoEuOuJbQNKlGkFmx5Rc8vQXTg2IDltTheGnsZnBAgNS7SWkDUkQOyJhpmvzigI8IS3xRHhCW+KIyjLqXUc5BqN2w5heDN5SCrYTDs07yGxXDXDT4SUBxIVdVpELRPuJQ06LlDiTExIuG8qTdLdejjMu2CbImVcIgeZVtgIQ8hSym/dCsabfGZBZGBZNP925aT0w4EJE4vrOiEzBYXLhWhLmmm3jEuMqyU8znMu/lCmX05GfZwdaP4+PHLzKb/AM2jOVFLMkOx2j/5E1h7hAetWbctB3mk0QPqgNtNpbQNCUig3ZRlo3XJhsYq0VxgKm5Fm1JLy1oTntwl+XlGHGz6uiC3LNJZQTeonburl3xgdCtaTtiRsC0MW213y786gaIXkrQlm2q5oyege6OzLQfNoTmpS+SnqEW8NWUT+fGLZdSFtrFCDDbLzymEV7Unx5HqqhMjbCBLzHkPjubvjDcwpsF9sUSvWNwzORK3Cq/RaqgHq45NoSByVos6P5g2GL1MnMIzXWjpSfGspMOoZRtWaQW7JkXZ5XzhF1EVtK0Oxmv9PKYffALMsm/z15yt9YKvWUNxu0ZbNkXlXJloaB60AjEHeWXaau4JJZcPNrrio0blvEaMokfjuMqlnVMqW7dJTppQwiz5B3JBptImZw6b1MQIZtBq0ZmYCXAHEPKqCDAI0HiFy8wi+2qBZFsjL2cvvabPkdEJZnSqbss9zmhiW+gwl1pYcbViFJ1+h/lWzM2cR3RvU8IDrWCxgts6UHxZcvY8qmYS2aLmXDmR2y+kL+bTir3R2hKiQlj5+Y5X1CMvaDrlpTG105vugJQkISNSRxElNKWoKlSSkDXXcmJY+cQQOvVDF/ujXBK+reOyzwqhwUgWba9UBGDMz5K0w46maaeUBmoQqpJhT8wKTM0svLGyu46QMW1JXDBFCp7hVHriZ60f8hDCUTLSlFIoAscStiYQFtqjsC0u2bJdzWn1Ct31VQZuyj2VZys5crWtOlMB6XXeGtJ0p6/Q/wArWUOG8/L6nR+sB5k46FIOlJ8U7Fs6VLmVTRTwPJhuVcmUWdKjSiX5ausxfQzlXvnXc5XHW3LDkombw+ve3HmkOo5qxWEuIkWUrTiDc3XGHRebcF0iGpdrBttN0VhTbiQtCsCk64S8iTSlaTeBqcDxSmXkBxtWBSYEs0rsmyV1IvnOZg2jZCshNjFbXkuwcMlMt4Osq0pPoc2rZQ4bz0vqdH6wHmTQjBbZ0pPiTjbbhZWoUDg8mOBtFiaT/PRSMZWSd6Qo/rGdY7S/ZdEZ1gk+y8Ix/wCn3vqc/aM6wpr6v/UeA533R4En/hx4En/hxn2PaCR9FHCy04wNq2op2Vc9pBEcHPMH+sRVKgodG4ts1ooUwiZKHlu5Yjl6t3h5pproUrGLssh+dXsZbi+7Y06hrWq7ohExLrvtq8TFo2crI2g37nRsMKQpOQnG8HWFaR6HNqWTmzI7qxqdH6xlG81acHGjpQfHaOS7TntIBjOkWh7Gb+EVl3ZmUVtacjgLdmU/SZ0ZttpV7TIjww18EfpFPllsdTI/SO3rYmnxzW8wRXsUOq2um9F1ttLadiRTccRLpuJcWXCK6/FEzskvse0WuS4PK6DC2X05CeZwdZP4j0P8qWVmTae6NanRF9vMdTg40dKD6cTaEgclaLOj+YNhi9TJvozXWjpSfQ/ypZeZOp5bep4ReRmPJwcaVpQfTnyzZw4VPd2R5xMImWDVCtWw7PQ/ypZeZOo5bep4RfRmOpwcaOlB9OGfYSVWa+e2Gh5B5whLjagtChUKGv0P8pWWcjPJ5SPJdHTBTTIzaO6MK0j02ptxIWhQoUnXAk3yVWW+eBdPmzsPogTLCzKT6OS+j84VZ9osFE2gVDqRmODb6bcln03kL+7pg2LaB4VHe7p84n0QpasEpFSY76PwlfpHfKvhK/SM3LL6m4zJGec9lr948FWh8KPBVofCjwVaHwo8FWh8KMbLtAfZfvGdJTqPaajFMwPs4898OPPfDjz3w4898OMxuZc9luODsufX9lHBWFOH2xdjMsG77bwjNkZRr211/OOXItdVTHhGVT9n+0eFmPhftHhdn4X7R4XZ+F+0eFmD1tftHfkmvrR+0cuzz745Vn/fHKs/745Vn/fHdJBPVWMbSlm/Zb/aM63aeyyIz7fmP6U0/OM62509So8Mz/xI8Mz/AMSPDM/8SMy250daqxwVvLP0jdYzbRlnfabp+Uf+A57470kldSj+seDpX4n7x4NlvifvHg2W+J+8eDZb4n7x4Mlz1OfvGdYYV7Lwjh7Cmk/R5/5R2xLzUr9K1GbOtp9vN/GKtPIcHqKrvhcOTm2s5lzYYVLzKcjaDGDrZ/H0R3FH9sdyR/bGAA4nRGiNEaPQtCAR0xwskwrpuCKoaWwra0sxWWtmdaPrLvCODtViYH85ukVfTJOgc29GdItnqcpGdIe539ozpJ0dSgYTa0gHJecluVfAotOw4w1NBBbvaUnb4l//xAAtEAEAAQIEAwgDAQEBAQAAAAABEQAhMUFRYXGR8BAgMIGhscHRQFDh8WBwgP/aAAgBAQABPyHsAmkd5T9UdEbhKdb9qTN6JJ7WP/Q6IHk8j6NH/POia6mXyrpH4odjp+HaeTSTd2mnuPd20maYDwf8weOgzofAPn4c90GxpcAKvWLNB2kC7FWoDFekxqLUqCJOGIafgJBGHOJBlRc/Rkhu4CDnXS/xX+VT4dt+33iw+0r7FCE+jBnvTn4SVuTjUNHarB7yazAbR2J8+fgZ7VluzpfhwbzF6wwZ5lPjtutRvg3oljxAy136igleSXCoxE3NH1HW1EmBImCeDd3l4vQzGtu4UIBdXKsC+XNA2oCI2HHd1e1LZKGAHoxo5B850TIfEXt8ZakwdjfUV162pOs4wML2uHYdNVeQY0iRFCVuiKRqAxYmJCHvRNTYEJDD+N0uAB4oU4yD57r5tD5CDJtH3WkIDHc1PAcqICdcHr2A2g5dKmFX7vK+A7WK4g56XkRVlcx8u/YcFr6Ez9eBvwFHSKehYhmL5qlFO5hE80e2/a5vkkFHpQNgIAy7BFhk8rNMNi66KHod9FQkZa02zG2r7UfG8Scu01evLJwllw7WxLMX7nya0SUSJR5rUBdhNhhbA+XahnICbYqXYz/6Z0VgYOERobPgJPliEukVJgx3+qokb0r6KCEZQiS+M79ixWHr2AM11qCJx81FUgIanYtY/KEjUW56YUoBq6gvRAtb8WaAhPpuQwe0NsBxaMI66edXCzB2e+pEbmXn47E+KJB9JoMEctHabAtlBhc+OwESbOQFNMLz0mPce1CajkcW2Heuzc4UllhPGFhOcVgmE+fYM0UlxHh8nnSWV5ounZ7ARN50lQYYmc6MHgAxgE0GAsZwtUPhoiefah4zaHAPZQNB4TA5BWXCV4su6YMBZkQn0dwuwZzRYAoDEAcCSYfAAqqc8yHWl5JNF++JVy5AVNsYvXt6s/w9iUTwBhNEq3LULYelNRexLLk9Yn4QposwbtD4LISJ2grIQ4xUqX7vDiTHlRCkokaJKkrgKhFJVw8QwqzoLKmkCVgoBIyanc02M5vc7M5Mwjd/KEEdsNBzXRt6vagt/LZGp3wzZmzx6xqMpA7HatDh6QdwFAshAGtZhgWPPsJwZp4rB5DS5Aw5MOzL9zS0TV6zLIYbN3C+1FUSVwFG2IHCFxM+t6hIvogO1a2maIcfdy7s32AlWCDaCHLvAJJLgEqX9oW2ohM6y2cYDl/aP39KnKabup1rS5SGZukMme/29xn8w89fj7KAgIDLwlLiD5qwynztz70RV1+QxaLrc53sO6LSxDd7enb6JaATRCEKPKQj47AcOjaBivOoXSYay6Jl2z2rN+CEbGfdkTbfzn4o1YOtgjuXCqDCWTkUxBokiYwmlFpIMnGKgYmmli87Uq38ir0CNwDVlTkX2Q7SdfNXJJfLoenc1L54B+XZZ3QzZKsQty9WiK1mSQ2CrIiWZh2oCYQKRKWgT2EpQ6vT5knuRdWyRXFHDj3CSqPwRxKkuCnRLj1c6bvXB4e1N/qHu6ur1PcTdsyFa1ABr3HoCsBYkbtalea2LYvEChoJiODbq9EPOy47EZe2KbwINUdyTCabm/o5vDgEVuaMKUtWabZclEGNCsEp3EYqNsY6vUn5Dw1ZLCSNEe2GhBCzbfaaXLg+y/r2MYMFYGITMrDUQRxNhgXdexoJ8h0RmE2O2FJ6YFlgvLsfQ8M2VypuuMOWcnh3NEAsp9Hn3QG3JWTlNCqAa7MHswIpFzvHsAC9hWMuOUxBQrHHWBUzCFYaX5KtTiZOJGD2378BD2YpCAiUgxgBmgACjNAEBAWA/HlOHdJIoykS+qpn8XU0Sjg5v4axOHCYPOKHirBejijutKKDBcAnjGVKcJWha3ifitFpiw9A7MOQYX4uzBziKiFrFbBGI1EANSuk6dh8y4klDCkWSCyOc02wuXyc3m0KphLecaPEcgMCIJwu0MJPBEdY3kca2yHACD9RGaIZJjJynxh2o2+UUiaFChJIc483xdGwghaFReIBbgDXH6+/L/aamcNjJliCMTsGUpcAfrtRiB49hTYDRZa7P6eGeeAOgQeZUkak1Sfh+yA6pFZWLf8AQKCuBU0sFa2F7vd1lu1IserwwTw91pMaPqJ+fwWrkXtLQ9/xpwMyJtZ+sT9ULPzMoqUvloPRO69TRyfVRkd5njWpOQjSaAEZHShAwVsTtj58qScKxZsTHeFXMPm+1aBdvsLVeV5UMrzRh+B1vX8U3OM7sA5xUGnOC8Q5eq/p24PicetTPeo3MK0RlwwAJpsDUGayfQaO0iz7Ed25JFoxwpL+Q6S2HL0KU2IFL5Q3KbAzGZg9GPKoQGQJLFHRNPaEHkoo6o07YlovTQwmN9gi+x/mtHLRQIxBHt500MGYDJIndPWhUsdX2ntQxHCCOcHjA9YC68aOTohpKxMF6XiATUeyfwUuwMeZ7lEPAQG35z0LEJmNdPAEWSBJqHjQnWMcKOtq6x4sqaajOmC1qs/4uFDusGUoAh+pr2CWiKQaYZMKFpo1XnEEx9U4VfgFvNOo6acIbdjhTXvtkNumXbb5ifAznRQYf6UbbAi86mVkhhZV+eydsz2NKQWLYHMvCppprAFFDMU8KZ/oRF/aK1mRueab0wqcW8FNaA2UyKeGlw+CBLRwI9CGOMOuP4BzxKZw/h9FARi0cef1Q63Lt2famNQM7h+UHEEOoAcb3n4bjMa8s1KHR0I/w0DbiM+9dd+6O0b/AL6uAKW4HTTzqQJZc3wHCrZJEYFAMeT4E8T4US3aiXFGJMLTFBFMzJp0CahpSZux4SXjouZRV3wOdOuQGws4+lNwHkKbBZhOnYXIYUwbkljBpQYagARGD1T3JBIAky5W8MnGAJalbOK1jlyJri8Yty50GAO2UEexyopI44FhNPAv6pYDFz50sKXVwcc/BUDOKQFRIrFH2dixQCZhoxLajCVKSJ2CIYXZXPB1ytbeHZwAnFB2Q0qGlQeGOCAiRMJfDGJHABb+0edDHHl0R4xWrmSxii+lS5odxur3HF2X6P8AQ5+GklXoescTwOyFSfODFfBbGmCaN39DkUlp0DDHGg8ZwkDybUB40BAHcWCWndKWgRpqdxwlzIG1LTXuHZLv4XZDo0nktwjG1HlRxyZlCUDDrV5FveWe63PhhQZ5ZDDgLGHZikeiDzoZLdw0mDk8qxZG2cwnkFMwzoH5rov5okdTCHz/AEVJq5VV4m/4c0cHPznHH8I78kCs8+4YRNjxzfSaipyLNuufjSlsCxg3ecUWEiDuGh8gHyo2ouCI24+pqFbh7q0w0XdDMEpGOfp4GFp0sBy9R+tkhKlCWLxiaecJOtYvxit31yS9iHPxnCvY67kPXk7qvg8UwVpiEKDy7GDhSrkUG9m/IH48qQk990E3pCmMQzOLh51Mj5PB+pOfdw56Hob/AH5f8IaV7LFhYdbPjKOunzafKZqIok2qv4BQZjGJIqZb4OBmYlrqGujganzqNZozTsvVij7HACwxt3DOkw2SP+Ej8kAiSOTRdGgcB2xqVLsS5FDkHZOk0lub0tsfSzpHPhqfjb/1eS3pYBrSMMcwIm6f9FYs6aulYJLB3K3xlo5N/Wsp3+2PussXGF5X961L/BOU1iDaBeVT/wA8MSRgNs2eHWFElBbTbidkVseQPfV01OPZapcwGER8rUYRzAx63ayhGpH2rKh0sWssecB8UT27zxcKZNMAj0/5gEwEI4JUrpzeb0218GKSoeQ0xo2lFcV91ypohvn5edWXLE2tJwo2egNa2s835oWTdVP/AChpYx7RfdXm6nI5+f34cV1whrT0h6mFRrjz/NI6PJtzmp/TFuz7VlIf6z6rBwOPqC1YPf8A3pNF4Kpg16eNDiG4fGNBwM8P+Ng1v5Tw161oRAOfD+F6MY16nK+KxgNYGklZuiJivJULXtWOUMCx717sB9CsFuKe4V6RH/alQJnAfO1DkvoX3lH37OkEShNv+FHqhhyOJUeBeLBzOvzxKO+wijLDWO+UyCYCVgcanw0kq+7sbnS0Nemmrlqz+FPo1b1+qxwDJqexU6M/e6WpMAX+K4+VT/wOhCTE8L+lOmrwMG0xv999cIYrebatghd5Nu8/PJZg1dR+fHL8HFFpDyfVKCaaPy9uVYMTqjn9VFjOthSAB4qmk+iaGcP30HoQNtn1lvQekLyDXvNIDDhzS1q0l7zNO9Lot+aJ4dYVY7421HfvwcGEltaes6QCMjn4rXFlYLqOVQ7FgclluOrYVgJaf0dH96dJ/PBp4WZn22Tn67eA9BUYBNPXzQjIjd10AlkaUocRy0eHWVLEYd6wjDdZJuVNr9kCcOsPGAsCESzQYp5f+R62pyFktF21o/LwrH9AyywWdjyl57VDTF++VgqjBK2KjDW9fNGHdD7JZlkKgjemiOtO+rkmB5j696CLFfHNPAx3UoJrEXZWhNEy70+F5ZrlxKmQpAz8F63oB5yciflOiKBGHCg4lqSzX8o/GzKzy5xdFpoRHMo7NQJoTuTfiaCnzd7BXQ7m9AEiJ3ZaEIzGmGuVY3Tx6v4Fp02ccoUxcY15Ka9b97TV+cd61crN3mnfSugwEnAde9HLAw5HvtWHmB4oGtQkXhmsx37xZugEjQoyxM7+zp1rSrDitEyfwT8uGAbpnHPjQJ4xlfYmXf6ZpXSNPxpHMVmIRaUmrPC4BoZU3kT81NNy/qye1YyzX2tpGAMEg8v7WIM4ST5kvrUqH7cfK7Vnbsph5/yoYe732Ufb9UU/WyKeF/Sh7W4Mx+X34D0yfULq/kZWPdWpaNHGn612od5cgTvC0ez4aVslzU69SVPfSajM2g4a/DrIoEwJEz7wCEkrBXMYOY69bUOujJ9MPwCOySX1aRpGMLMLa++k0JvSIp9xl1anrfOSOJl3emaV1jT8Z1N9TI39RTIlNsBl0bTUJ3ZnZde7FIFyeNIK10uYXpDuYx6/dDvKDYaN6seMAwzeIomsxusx3PAaoo609b0W4w+Z3Q8MO0pxjT1f6276acmFj9NHXM0Dp8CzCAp7Ww3zKnvRUMASPH26fMYT3RrwprfIHulBrEdeKhR0LlT8ha6p91MTEy9RhSAfodnJqeliN+meRajDudM0q2bcVYw3er1c2uX5lqiWWjwBiHk8vxYpEDh311qwCz6fBAokjiNWgrZhw2v80ouyScid8AamAJU7616z5+vep7p3E49kcvOll4SsQfLvmxBnzWtaTi1uZy8CITWNZ4+jUhDzLM/bwGsCGCSej+tE7Dz476hy8F06ORWraDZ1/wAVm2bD98q1qzNOJYpmUdZH1ouC9DKBwCn+FTaHWQBUTq4Exl0+qOwbe6bVd1xJD5AqMvM4NKvZ0fT8ZFMwsYF8s/utCEj94Mf6yyCgCg3OTM9e9TPfvkO5yWst7Hkjr1r3pdLpGw+qgas3eimjUjhhr8OsijBBCRM+/FS97HmLl1hVvPzbZ76MSDSJpUuUCWNm6+e9NGE6VIFockufgI50uYGK6UefoSAd557ZALBnGhPIQnAjskNAWAcfXk7BQUJV3UjaloKPlmKPxDFGgFkq7NMozOm2vhS2gkeAFYYE4fKvr1l34oV4uH56pCLV3HOXdHgWRglLykYRndNte/ZMAfJvTFYL4T5nWngEgSEI50jqks4fC/m9DPf5+HwwahyOzwWPN7z+S4UBvwx0tn8ZtFtoslhffCkBzcLgtzdpMczFKiQPFSseDQm96PkbWSpqeyb0ronFbUw+Jzu+k1OFa4L4XWlGGFIME7oXZeuLCgy1zofLvxVJwMfrqRd8+2ePgW2VuZQqFIHpFOvnwHhJTOS3nPqjam4cjh+T6p+PtbP154eJ1hVy326zHc7L0yxBCvQZVMeYn2tcNQtbnNSJYyIXK1GCjQT4a+dAfBQOKCSlc5o3MYFxM21Z4iNo+13xvTApa7ZH5fWnecAkdH/8oUJxsx7zVlMeoR69qkchfNnLwFbnZkc+vzRuY84jid8nzuHI0xYrnRq160/JEkUnTWIrZl+MCCSOVAAMRYyf4+OFDJ4QT9AwKtK6/wBUGnfxtaDj9NYkD7Lp7oW0sORpILJ5gdd++lqehKcj+ttKDMRgyeAqUL2V170SorDke+9MvHxDDyp7eVCH7Cj1fLFZJvSmx0uSTr/nhnlRaBnBmxQA1PmjO/mZSDzXWfcPxZ3Qjat0Pl9UteDyWNu+rx2HJUji2a9XXvR3yONYcjSI0uenXqSjvthDS8xev+1lCFsc1fpyZMBdaxpNIn1oGSdSe/fm8GyW+jRlDeYho3+/CaygEls5KWnrbiku+3Rb4HS9fNC9ih7ce40mtYyvTp80H8DBke/d0YPHJStaOHyj4DyYIuJ/FSiJhS/14EX7bCtPt/dqUgBImf6Y2glRgjFdr1BKWAQ53VJB7/zNTZiMPQlqkSMZQPmC0YKN1+orA7mL8NRZAYqojyCgwTJ7G1DS01+I/uVQx5b48MiIwvjkNeuIX2yHPeBoBCOdA5cK8etTuEAcfmNNSkdKetvAN0njivWubAPNPAtuaC8/l1hV8GG6zHc7/HayGiblWExOCyDidYfpgs/HfL5X8qncDuyiMJ7zV/gnJznr2GqNJYJSNBfK2dLrLXugmNKkAV0x80Mt1G9ev4PmgZAajU01iusTe21r3LMhXiHKz4dkd96hnIn2QfLvtTMBZvcnXvQiisOR74CEkpAu4C+jrKjv3OJoBfm+qgAbuFjb1/SynvZmNNTinPrJz8Jb4rfgkoJo8L5A65dwEqmDI5V0j90qfd918SX5piXujKsUTgvq03aJpd9igySg+vSMogNv7Or0f4HDkfEm1nGEzfM6wqJDcM1mO/fFo9hyNQnYFLrm8AyrCACYPgx+s14DpvrQNgSJg/pS5IALZS8L+lKQAkTPws8OB5iqNK7HTPCinlKOsHKlI66jyduscRZRLSHhoSG5T/MEU2TbrSgFjkpE/IMHLD3N6TN6Cnl1h+lmtK9tHyqTSxzjmOGXLw4p1u0M/iP7lURKF8Ms/RII4U+u/IlnM2qYKpZE8MampMUESnQd3XvU/kARGG9b/a5yJFmuD+ls22YXPnh1hUMGW+Hfuu8dhwFLkNLI7hTCqMEqaY6Ns/ptrU+G8ZA8g0qc+bALm261oZ8PS7pjktOe2ZWTf8gGEkbQ1xEpMx2acv0pxjQrBKS0rrHNt1rQz3F9IPRenxRWysOA7vPKcWDUdIUbw8Dr4k4ndGUNynype+Rjy9PETzNRYNJ/JZJFzYsGiWVxdR6z/SiE4pyxVgNyHBOuXbKK8LH+FFdyzKv1318MEoAxeufTU6Hn3o7qSFixrS8dIM6my9k0/wAJTEcMCmUvU/g0Z8cM4XenpQPc3r00qLPOsbO5+lcy0ZWat+tKsXLGxHFfpXNA0BrqOkrBszbSidYF6UaKi4DHrq+CUZG5eN+taDfq3HhRQeDyMEqWFL8HQ5j2PkReJWnoFdO5XQTedY0Xr4eJBBBBBBBBBBBlObaLtm9lUbrF8nKaCSjL5NbZqA8dFvMyWMfcrA5YCedW2nGmXJ1tpReisODg/pTqhzgs3z6yqNOcW+YqAMCO9PPM8AVKhWsMzNuw14oEiUffUOeZt1jiZgzsg8MfawGjn2fRFdX86iLPpFAMCPHTuOQSj0u8yfMqR1HfzNYdhwP62am2G1H2RV3tQ+gmiwQ6c6mSwi4u34UjEmrXjC9LJRWDZiT33o+SGz3dnSmHCnbu63JP9pbHZKGaZdWpK9LAwN5jg+IMrZLqcTH4EoldELtS2JRFxvakIEcHTDS4n3FLQ3ofdXrzr5rFxwFCODPY3Kw74Lgk0/u1HmyIE7uUlEwVcIDhMZu3W9BmaDgHakMRsgpLDirz7p/utFyfysDDi1i48TRpBME8AyUxIDTo5H6QFDWeRfEr4QJUK6obNYm/C9xo9Tkj4rLk2TRZKjlIfO9N6DxZTn9VbnbJstn+U9ie4U4r0DAkcmrf4Y0Rm4W8S9cRtlz3/AEwkjlVj5B01XrLWowbo/RXNCu+1FQHqYdnqZptazih6sqi9D/iosCOulRuGfDjFdaitO5nv/u3caZWTUW6XvtQrxgoA7sbGWc3kN6chUy+GXJ63oBIyOZ3bKqYmWd4e3rqfZutb2rB8SX9r/D0bVNQR7VhhDNYfcrSvP4RrEayf5rrf1Tj14X4rPWkB+6+Mr7dwAIEHrON6aY6fEa9x38V0ZuVBx4776xXoaYPBIEaEJErHM5Nnfp9U8TpA+58990kYgmjlpC0OJ4MhjJthoLhnpUTMNZOYxqdzAgTTTqKEHAT+B5peQYNEw6yo4HwZSkPIH5VCUu75A69+3cciCcaWC03Xi9/LVO4rUcmurEE/XDAARkcE/SRQLTBNl+aw0ptj8G6oHMAybnqVfNs0hfih2E4SqOP8qVBMw3CH1K3og4K2A8b46rHrOGa9+tKulrzxj4OLsI2BVP1GaCZNuy9E32Dhrd7987OT4o0JnkN50KWIZxHJNylzEacy0qH9LoT8atHaiT2y2DwuaPYJmnyr01SYHrr7iuS8Re5WMeYij71ng1oihvIHK1Mmku5rBmxwxq2cXoJw3C3WFWVn3xUqSc7sBVru5ReDOlXBypyrLTbFzmT5YpQUo8hgsYowOcUkmPZ8Rm/xvN+taE0KRMTZ38EZ1m7Br1n7JrG3fdeX0YBWcIk4O2tHZlBuOCG9SDmF4LOvWX6Z62RBNHah6VhNshRPcWCWlARjc+9aLydPzw5VHjA67PQ1jQeJeXOfKmTGKefrahYgwAgO5jDWX+iFFEvKRw6OVDoeDgDsl/AJXBAsYGfftFYM80GeyKtS8GfEgwCrI1/hYHSKEic+CrLenjEjXrSpt1eeMe6etJ+AFJ3jsJtm6x4UEdyw9MsWS63qKPp21PL9MIkyD/S2oBzgJ3cmiCTDtAI3GvluVbZYXs8CHuY5hNycMdK4HcbM7Ha1j/JYbJ6ntHYPPZTeO2UcH3CvbjVnQS2PWUW8QSwoQkSoXtFj8frgVQ8gy2dHuLCWxRASYI9y+obTPJr1rWexBm5rfuMQD5BY+3pUD1TZB3QTAQjglXWOK7Plw+ODQyfnoxIVtudbbnQXBHuYZNZxeqya1E5Lo6v4eA0okT8cYCDIKEIY4w+KFglWRpeKNAGfR6UXnE5nNGvbJCvXDZp5ic+U2nV6wKuOcnTjV6Iwkj2JNM40KOZ60azEPkDXtAtwM2yo7yaJkWlz6edSpLoxwb+UPn+FNSUuSDFIpwATrxrEOi3rH38yseD0+CpRAjheqxjHAHoYr/F0cNm8vRaxROl9SFOEXMg+7RiU6sqWPS9EPDOlRPKwfxUJi6fyVlQYe5M+1GABnM849qYOoig9qfNEp9baok3hMhxp02y/wAy9ev6ZJq84bAzhk9G/wAI1eJ89sUrYZGHDSkpg3I8XXGiZFZCG7UABGSomtHKFs4jXrjBwfQc+C09vSlFY2krrJude7dBiIPKOeVIMOMpPSn2osEtk9e8OHDhw49Vzt2GzZ83sm2GAjQPUJXsZZ811guVSeofxSs6mueSUcB+MvzXyFXCvPb4roJTagYCPAOUeeK1HJp3h04DcTq1AQuZZtB2RSIVct6saxSWn8r+1JQ8CThB9edSNCMcC12ev6cULcFYtBr1vUqNlYs66ju6GZX0HEpXMk9nf1wprCJbj89klJwrHmJr1vWDH1mmpqeGZK6xfsVAuAgiWvhC4J5rQ3pgDZ/gksMoEhE9NzwkDHZfEmFJpudTQi8H1ddfFTPcj9QJoJBn1CsNlIbHSd0f/ZOM/OsHll29zPq9STwXLcajUry1eGoose3ex6jl1wqBIyeATmYGGu3qRHXhYeEaA3muhq06R04SNLrlQBgR4ByI413UjQpZkE+7PwPBF1AlXKnca3YOo9O3NjVprFXlm2nvdaUfgtqcORiAMT8oATotrUDZ7JyOveSaFnxMMzjJh2OYuCl3VZNHHsOU1DqKgnJj2bQd5pQkC99WxW8qKZ0beFHVt3Ncg3pIKJwHT6KAAEBl4ErG9kUSV2jDV6+fBaGaT8M441ah8Nd+4WcvQGKf+iLJHWj8BrJKMub7/lik3sym21SQMTcPeh4Deo0heHpuprJcYnmzl1hQMSXEZHtLmu7Qpw0zzuOP3r4d8RFmSYUEALHgsnIMhGHXUoTomHAeDDTVVfUxkCTj9felPpL+nRKgOTh9OnwkpA7Zqeygy37vHeAOZVIFPc/Mae870oD7ZCo69Y0eDkShcODlRRbdwgWXV63TiLjqOx/sOQwM4lExEBgB4ENSoa1PhrpL2iunDwbQVhm1ZimgfU4nwJQxTA4j1zpSIXdZ67J7cBOJoFTjGJ80xHQTDsVOGhhTkcaQc4jiRTnr50It+DY2dcWsBLT+jo9wNoprqZFKB1/MxWjnNKgTP7ab9a98l+UvzRJRkflUna0jKKjpqKKDm77y3x6UdR+1SjyXfFW9nyvVouNrfpTh1wChz/O9muGOZKe9Z5bEJ62r1CLXzXRfqnOfUqx/SIJKxAZkifOGsqLNG80rV9KJq4yORS2b9YqNg9CwqHg+hjXoZ/fRUh7b3VSgGbSiIpiP30rCXQ++hMH6ta6c+a6c+aShXdUDIDUeye/Lipm+cDr1pNVL+mLTGVE9pozgWntEfYlPLFD92uQpN7FQCSUjCF4XuqHqfSnkq/poUYEMBA8qVbCAyNHIoIqXJLy7Rt65dyyyWjAnpu/EVNZsCqE0ZPzNAlExY4Ptz/K0BMHRTpWltgwO9DbGASJSwG+74enWFRGBJB3Y0RsZXInZs9AGujfipA7UXxQMANvGBgA3ojmi+Kk+TClZ4k9lpydUfOmnK1gEw9qyTqsbAyKed6sXokr85GnyzDxFo1oihtp+2U4jyoapHuADfyWpc/VvW96t6E5v7FKSr15U+k2z2r0445TUu2dLOn1EftoWFWZhozGtkKzH1rU7qcgPimoEZYxyilOlXefdOtaGTwCdQCQSi/PQrdtzMr+XdNbLlyfipaUAaZblhQT13bjl7DJzZxC+qInTHBxpwiMU30vTrNsmWg/kaCpWyehWzVYmPS7+KySYU/sMkm4adXrKFRCd8cqDEUrkfBbVcdkWj8N0s17D3LeMCYMWj+SB8l3+sCNatYSZy3CooIsOCG5SqT7EiGnDwAwJCEiUbGlS+HHuxASk3i6ijkF2LZYS6y7XBy02S9Tn2PDkAr8XQqxabpzrhR+RtUooudQjPL99DwMXE04q8C5X/LSpvYBzf+1cnbAHvpCKlmmSt5+vOtHWs121qe+aMKcsiK0mLFWieBPe0sTkHrUdMp0Dj8uKxjK6hp2NNAcMCwheZy/Kk7FHmjzOsKiKG7xC38HFxpCNLpLKf5/WnFyweay9au3thD35DtWRxzouFkmzs641qt5txqT3YorzefLFGMEPXDJ1eiYkuIyPdXl1wCdGoMHwvnvr1hTw9iGJomVT3SkMhbl6f3Lhi8Uvy2gdgiYDWjIbHMe7+VE0kJeljQoJEoGWzv4WL7eQNN77I/x1hwOBz/8AtYaRIzvQNTBPdUp3M6GzsEdh0fdBGpLR5PeXoMjhwcqZrC6sOPrzpfZHZy217qEhuU7Gg6x1hTJ+f8FerVh4mnHdeoaVsaC161qMgJ3WY7n4zeobuZeHWH6FUAlkc6z7cmft9cPDNBCx0SRDUwfZRcwooCy69+Kcc8ljdd/OoDDCXyDn5Ud4wrRReOdDCVB24deeNFhFIkj3Ry1A5GnRPd5UmXrV0gwfzXq1F0DVdqAhJKfRp3MmRp/mlBDBhgfHTggJDBiJ1pgSfLfIbNAZGRz7mNIRfN9nnQz+hCMaEJEp+mT38PrgRXn1omT+bYbwOhVBiLnzTl1v3wqZCcjWOx0OeJ04UwGNofMH+cKhL805hidiDHHSByp8iHVeJ696GfAhrXr0CvWsq66+a6q+a9R3VM70QSFEY+Ry/wB2oOTdTkuJ6cKGaE9sNSTwJf0pXkqLeL+v6JJEqMxdkZwyejRmt7AI/f4iMSFTNhxgU76FvmsaXzK6k+K6k+K6k+K6w+KCkDyfesA8wK67+a6r+a6r+a6r+a6r+a67+a28gt96AkzUWkAwmVHjZYHEdueEA4EVmtguCNWOse5FyV5globRUqdZMDzYazm5znlNHVhyrqOcq6rdtWf/AB+ytj0b1tejesHbqH5ryNLP2qxzYTsjdXhTB8yjE8eVtqHw7OKjK83tJYkSOMKRCeRXHo0Sw5CDzpYkzF50imi4gFk3HD9DoG82k3VKm6te2eo8E2SdSKdhMymfSk0r0zFODDgvVo5x1BTjxvRer5nzWWDqLteh4vcVkvcftaWnUiw+lXCb3/zWBv0Ma9Az6a6v+K6v+K6v+K6v+KeljX+NfCIO+pCEIVFOIPZaY0QbLnNSp6e0rRHgVGUbQPYNYAD/ALD6oo3wbg42nlSnFxc6iDDVsZG9DZ+/GwWf3ggIleY0zowADAO43K00CST0pa0tuDeMXqWrGSgIUSHNpJNuum/ZsuWl5JZcDbH8/Zz+8SMSrOb0MO68ePHk2TuUJVg62Vc3JF92hu5U35RWJJqfso0IMvaCgGBH5rACYiU5mM9UQoQHrO05xR+GIAMdSEeGzHPtIB4slesBQhLiNgdbVfAyhBLL6TThf+ZUf9ABhs+sYIZzeinhk7KmIowUYSPaKihv3ehP+kPgdqpnDPH0ow/6OP8AxCRDBzhM3lTNn7CV/wDoycnIwVE9/KkWhlwm9iH5oOZCjRi//RWKkADqGeLU893NqZ/+jmkqA97cy2pqWRsNBy6xo/6KbV7adZeE0ShLagL8CedNqUrjGYf9EPyiBb1TWsFHif8AxU0ms70Kl+eHMJiE/wCiSnAi5UhXgJx/RFKCRSupOHn/ANGgiZbi8KIbxvrtbFR+/mpqSpKn8Campqampqf+HyqRxYTUWr1Rom2znRaKVdr4xa96m9Z/itZnB2vPMR0EYV6VPslZRdP7qy4GhHtUyCDEzyL0YEjGQPak5PS+CqwLbtyoRwpqA5FKDTGv8lT/ACX3XoIoZwto10bOVdU+q6p9V1T6rqn1XVPquofVZzdv4rYOu1R6/wAVHr/FR6/xUev8VHr/ABUjCp76pVlPpCjH9eGdSIhs7j7U8qST6tGA9B7Q5e8Vn+6M6gxPT+tdd+66791rnxdGbxlXuk+qukA8qwYdTGmw1AjympcR1H9ftbQ6TpQQUY/bG2tqPBiaghtQcy+vtDQ/k449RGH50GlQ0KjoVPjSV+hXq7CvVbPxXVgeVOjcPYWpB1n99ZD+Fy43UWBnXHm/FFpvKj7UOt2dgetGkutj6CMESyP5cDAEXFw8d+wxPCPXvQekPSI5/txxE06o+icq9IsSw+kf7XnjK17vIrJfjfGmlDP4J+e46gmtFtbHGttfKp7orAFWKsY5eO+QOHI06t7mJq69yj91ZHUDyAvS8F5YH5fH4LenoK7suu6rjDDkNzHnwmid8p5ix5HczNhaj/Tl2TSpAZD4tzoRsQw8q1a1No8/62ax8VPFrSujlvQeCgME8OalzS39GNT2t0+YrOpw9ZsaPOWD9RrG7QXyOzt/xMyR50MK3NiyJHFPvTuR3jO7X/lROomrmGMYbnXpU9aes2oRjBJ8WeOUB5xxOsCoSLusc5b/AKl6S+UgKZdZ0fE1LLhckZ1wqyzbW9y1fFgiXF8WSnJVJ4veQY4dYeA4OMqPWpjBWfHNrMT2nwPqi5ZYj5HRUC6i1vO1ABzAY9O7ZYZlBs7cac7FfF8XuNmnpb7rVV1EB6J5xUQu6SYtQTmC4lSoytdWNCYPESaYhaHsuR1ppR2lPSBz/TDRCVICs2Bm3i9TemyYgnMZ9XoloLBPFz7SwGlEAUPlsinzUrAewhy8lq4sWCPh++STS696KeVJxLE7z9iW1HMKQOYqOXRxmhxblR6eA1iKlYus9zrQACwdxhUwZwv8UQhwqRetDs6ppocYCjhoCUwuOeeBRGRfBpju6tVs5OOiYTw1wgwwNBnKzPqevX9IXRJXAVgVdg8fob1LVUj+cc+r0JO6KeOvdZyq4i2p1pQCMgdCtGAg0UQwlknbr/wc4eHI4eFFLTXZaff/AHWiYzA5mo7/AIslRAGMJFA+yiZHNjsNDmMJZfYoiTcxeEWmsMMec30emiIhOsFANYEDLxEU4wHgxSCRrmGSHN61/Qn6+QgUZ8sHzrj6VIVkF89r1etGB2pIK3BK866N+a6N+aPq+AeYdpI4lmAAJplW8GJZBu0AzlGJCYadCKNc2sF6hUO652+fDFhJHJpPEBcSZNutKFpgAU8IafkwXyy3DsWd7uxaGdMMlzzJ5vEvvWBZHVs1sfXGdG35sxUSg/8AAPmm4n92/wBKLRr8phQengIPLtY0MTNhB6FAIdTdzPidWrPbyXLRMmlalWFLPtm23y4AUuBdZhJHon+VeHfP5JQQOYSksa0uPLuJ8BvbM+KYjLji9vrCacAbYAyRy6woZ/HVLh+A4nYr2kIUZ6NAGHi4o4QwonwlejcflNwjK0JhLWD5v8qZdP8AA/7qeQf9xw8qjuwxi8rlSCQklQKR8T3AGXWtM1AkTPuMDnTElHBd5URpKJE7M3rpv2CRhx9LifIop1yh6gTP8rOh4+1ahUSEj4B2BwmZuaNTxrGI0Jyjq2D1TgsLLZ6NKNhEpIP05S2rPEia0lXtEr+KsEtirVYKzwjHq1YZ3iTeSjYyY41/14004kYJw08atB6IgeBA2bqIs+XYUvIGZzipOYs2M4fSO5cMK1HJNxrLWZrlBcoqXOYfJiKQUmWOQfPn2PJnBl4feklHg5uDkQUkAm9agKO6pWNJ8EGrwjibmjRg3KEfY64LE0fOr151lgi0bQfp2VgwOJY6fMGYej5/EcZPiNsG8Z0VNc4zi6vn5USzArc1vh5UW8RrWAH5vo7rJyvBHrSUogiz2zv12TRIIQqWCjAhCyCjlHFaMGJ8I7dwtmrhoi6abnVszvbI+YmvW9Cc+tQt+nirG5cZbp8+3wQ5/CcSUWVahWF0VK9D5osNiD4VgUdTHq11uHOslfNpl3xTSDHq8K1Oc+q/131XP6/qKLnhpejT5IuuYqEkdInk1vYBT2LiHtcMOjQP1Gsk5549k0idqPoxqZJM8+8VGyrrhaxFZbRuCOYmT+Gaq+YtUHbZUF1NT9OTRcFx1unnUp/bDH7/ADE4iaWCHL4ig3io+itMYJ+aPIcGPvRg26eD2XkMjOcunnEJL5XpoGtafk2ocKYDHpSEhuUjuRIktNC2H4mMQ1oVTnFYRf2P09iV0PHCa9Y1ct6E4/vMWcUYUSMy/ROP089y88+Ca04Jb11j95e7PSZzxqLSbrHOW/6cZaUlxomtfRMHXbf93FDCODx8jrTSjfGdkD+nhPuitohrTBwW3fONT9254xkga3+5752n+60Mg/p7qsLWdtZWDnbI5HLrD9LP40FBY5rIblS8TnBZZxOsP1CNyGgDsFBMbalLhvv04FNRpJgx11rqv3XVfuuifdQexada3nUHq/8Adb/Prf59b/Prf59dfnnTjz2/qjHj0MKlXug0rLtuI5UznDEPSszws6OKHgaf5On+ToXYrQaZbi4pF6h/mun+tdP9a6f61hHfh/FQ7Vxae3tAqRPhsfPc5zma/qY16YR+TUezGXxKP+V+qzHDKkWd3AQQTFu3pOBbp50i57oaBvowajZRyn7BW+Fg9neN09i2TynRp9KBU7dv06SQ3K/wdB4H5KIgTYqO9FbRW05VtOVbTlW05VDQ/SbOaE1JSLmm51p7YqOc1ghMD0i1MkBl8IaV44ohoxddz4NPp1HTqc0oI7iuCxS52JcQLPl+F//aAAwDAQACAAMAAAAQk2okkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkgyk0kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk8gkndkkkkCEgqUkkkkEkDMlikkkkkkkWowkkkkkkkkkkkQQkkjIg8hH0kkkh0nmekkkiEkr0kBkkkgIUl7UBckkkkkkkkkkmMEkknm8UPUkkkIIlsmkkkFvjSQgOkkkj1Mfgg/ckkkkkkkkki7Rckkkn0Fc4kkkDNgsCk0kb+gBykzkkEjQYkaiUEkkkkkkki0jgQvdkkkMJ4ECkiLWmr1kAkmUkjhhpkQMkkkaqfcElgMekMkgUjxYD+knkhyjkJknJKiXaj7kkUkjyWqkRUkkkkRJBEjBy78vkRUkCQ36MjjQMkkikkiUkEklUkkkkkUkkkdEkkkkAkQk3kUhkQkrUka7CGaClEJkkkkklskkkmskkkkkkkkkkkkkkkkkkhQkkkkkkhkkk0kkqRig7Skkkkg0kkkkkkkkkkkkkkkkkkkkkkkg8kkkkkkgkkkkkkkgokj5EEkkiMkkkkkkkgskkkkkkkkkgikkkkkkkkkkkkkkkkkkkkWkk2RAkkhuoEkkkkklWkkkkkkkkkg8kkkkkkkkkkkkkkkkkkFtwkkpTfkMlcBskEkkkklaEkkkkkkkFskkkkkkkkkkkkkk0kkkVe3kA8MFhEh94MCUkkkgbr4kkkkkkkDyiMkkkkkkkkkkkkskkkkkplokgTlskkkiwEkkkikQjkgMkkkkbbSckkkkWjfGUkkh0kkkkjYkSkkkkskkkknUkkkkCMhkiUkkkkER9/Elkk/GD4MJkjURkkkgkkkkkkkkkkkkGUkkkkkkAk8kkkkkkiEAslEkkkkmQ+kintSMkmkkkkkkkkkkkkkkkkkkkkkkZkkkkkkkkiklEkkkkkljkgsQmikjkkkkkkkkkkkkkkkkkkkkkkCkkkkkkkkkkikkkkkknckhkmsXknkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkgkkkkkkgEkkkksQ9nkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkAAkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkzWkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkklH5dgSkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkg5jX+ZiyEkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkOUkkjNAc7GUkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkTokkkkHJKeHLIwVkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkhZkkkkkkkCUFo8TBESkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkLckkAMkkVkkksIreWh4kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkEAkkCMkkrkkkkkkkDvJU8kkkkkkkkkkkkkkkkkkkkkkkkkkkkkiBkklQEkC8kkmMkkkkAEWkkkkkkkkkkkkkkkkkkkkkkkkkkkkkknkkkIckhQkkhgkkkkkg0TkkkkkkkkkkkkkpkkkkkkkkkkkkkkknMkkmMkkKkkkzkkkmokiSckkkkkkkkEkkkWkkkkkkkkkklwxYkjYkkk0EkHgkkt0kkl6EkmNEkkkkkkgFEkkIkkkkkkkkkkliqGVhSkkkJ4kgykklgkkkEckkIIkkkkkkkyQEkKAkkkkkkkkknwUkYyQUkklTkgHEkkNEkkhYkkiEkkkgRfJP6kke2kkkkkkkkki6QkkkghkkkfkkHokkEskkk/kkkaEkkBlFwrNUk8ikUkkkkkkkkjUkkkkqEkklMkgfEkkdkkk60kkhjkkdckkF0kk3jjkkkkkkkkkkgMkkkmikkgqkkZMkkBEkknUkkkMkkkkkklkkkcjHMkkkkkkkkklxHbkUDMkkn8kEokkFokkktkkkUUkkkkkkkkkkkjskkkkkkkkkghmjhHVJkkmdkg8EkgwkkkDMkknxkkkkkkkkkkkn0kkkkkkkkkkOskgADPckg1kkUEkgjEkkgNkkk8kkkkkkkkkkkkkkkkkkkkkkkjjkkkkZqkkEckHgkkgVkkktskknskkkkkkkkkkkkkkkkkkkaEgkmkkkkiMkkgVklQkkkAEkkE0kkggkkkkkkkkkkkkkkkkkki6e8uVUkkkkcIkkPkkAEkkJYkkg2kkkjEkkkkkkkkkkkkkkkkkn0kkQkbknsvHZkkkkkkIkklxkkkFEkkBckkkkkkkkkkkkkkkkkhykkkkSEjJ3S1MkkkkkPkkkLEkklEkkgYkkkkkkkkkkkkkkkkki9kkkkf8AJJJIqXZJJJJBTJJJJJJJJJJIIxJJJJJJJJJJJJJJJJJBJJJJIxpJJJJBjJJJJIpJJJJJJJJJJJE9JJJJJJJJJJJJJJJJJFlJJZJFvJJJJITZJJJJJxJJJJJJJJJJIcpJJJJJJJJJJJJJJJJJn5BbJJy5JJJJNpJJJJJhJJJJJJJJJJJO1JJJJJJJJJJJJJJJJJPoExJItZJHEh1jJJJJJJJJJJJJJJJJJBdJJJJJJJJJJJJJJJJJI1yJJJF9JAJIAgCd9tttttpjXJJJJJJPG5JJJJJJJJJJJJJJJJIWLJJI5hJJJJJCfKJJJJJIBsUj9uDZJMyBJJJJJ5JJJJJJIj/oMbfJI45FvJJJJJJAAJJJIHDJJIWz+uqyFDJJBJJ5JJJJJJIZGkImApJ/JAwZJMSiIxbY8tQX9JJJJOFJJP5JJI1VIFJJJJJJIlBJJJExNRJIvHJJJJJJJJJJJJJJJJJO2JJJJJIAGi4dKIJJJJJBYJJJFqAJJJL15JJJJJJJJJJJJJJJJJIlJJJEJu9r1h/LvJJJJIxhJJIMBJIAKrTJJJJJJJJJJJJJJJJJJYZJLXJFANwqhx9JJJJJDXJJJArJIDJEjJJJJJJJJJJJJJJJJJJI7IQzJJFTIzIIkBJJJJI9JJGIWZAhJIxJJJJJJJJJJJJJI0g2ChtpJJJJJJJJJIBhJJJJJCLJuUD8JTJJC01JJJJJCm4OzC8PRuSyTTJJJJJJJJJJJJJJJJJJNZBPZZpJJJDLNBPbbe3hOenyIsoNCjg7JJJJJJJJJJJJJJJJJJBwIBQs7JJJIBLpJJJKzhNIMJJJJMUPAjJJJJJJJJJJJJJJJJJJIExJBxCBJJJMJJJJJJJJJJCJJJIUED5JJJJJJJPZJJJJJJJJJJJA4pJBBfpJI8JJJJHbJJJLxJJJOBIqPJJJJJJJPZJJJJJJJJJJJJLPJJJCYJMhJJJJHpJJIFpJJIHxJBfJJJIIBJJhJJJJJJJJJJJJAB5JJA8smgIECsAJJJJSJJJIiJJJoQCNNwgZJKAJJJJJJJJJJJInlJIHgmU67BFWkBzq8UBTBJEAhpnxo1gFIBJjpIhJJJJJJJJJJCQJIFWnFuk5JJIk4QF7g+Tg/Vl8MRZJJGEJIGUgIJJJJJJJJJJIm5JIPfhJJJBhJJJCJJE20pJxA81wpJJIrJIXFyqpJJJJJJJJJJBJJJIPORJJIBBJIHxJJFpJC1JJJJJJJJJJI3JQw5JJJJJJJJJJIlJJJIDfZJAIbZJJixJDqZIIJJJJJJJJJJJJJIcpJJJJJJJJJJJKLJJJIDU7JBKzZICEJIA+JEzJJJJJJJJJJNJAZJJJJJJJJJJJJIa5JJJIKBJJAAtJAHtJB3cJT5JJJJJJPjJF5JJJJJJJJJJJJJJJFlJJJJIJJJJBBJJIcJJBaiFPJJJR3T1IZFpJJJJJJJJJJJJJJJJRpJJJJJJJJJn6kvXttgMYJPIujo4TyR5CyNJJJJJJJJJJJJJJJAgJJJAptCgAV6bfsAAFigFghJJJJJEZJGAM1JJJJJJJJJJJJJJIrpJCSnI5JJJJJJJJJJJJICfJJJJJJJJIRKDHJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJIVwyZJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJFJHpJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJEJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJInRJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJIddJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJpJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJAJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJI+hJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJI0XJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJI7RJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJCxJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJI4FJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJ3xJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJIARJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJH5tpJJJJJJH//ANuSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSTOebDGaA3jZGf8A/wD22356VowP4ZBfJJJJJJJJJJJJJJJJJJJJJJEqpJJJC6FJJJJJJJJJJJJIDEoIjpyKtJJJJJJJJJIJJIJJJJJJIsZJJJJJJJJJJJJJJJJJJJJJJJJJJJAVZJJJJJJJLUJIpJJJJJJLnJJJJJJJJJJJJJJJJJJJJJJJJJJJIuJJJJJJIoPNFIwAJJJJJAhJJJJJJJJJJJJJJJJJJJJIERJJJJJElJJJICYd63RIFHJJJJJIp5JJJJJJJJJJJJJJJJJJJMNnJJJJJJg5JIrbGiImZJyaZpJJJJK5JJJJJJJJJJJJJJJJJJE6HNhZJJJJKpJF1lJJJiZIwQizJJJJI8pJJJJJJJJJJJJJJJJObRJFGlJJJJC9JAxJJJJAJJvAcfJJJJIv5JJJJJJJJJJJJJJI7rhIZPC5JJJJJb1JJJJJJJJJJAXvBJJJJArJJJJJJJJJJJJJI1sZJT5MY/AoJJJIzZJJJJJJJJJJL7ZJJJJIAJJJJJJJJJJJJJOw5JM/JAzkFaJJJItNJJJJJJJJJJJJJJJJJJBjJJJJJJJJJJWkTJJJAs5IwrCCdJJJMIFJJJJJJJJJJJJJJJJJIBZJJJJJJJJAVfJJJJJOJIBRKblJJJJBopJJJJJJJJJJJJJJJJJBsJJJJJJJJA7Szqi0KqQSx5JJJJJJJJ9xJJJJJJJJJJJJJJJJJIPxJJJJJJJJJJk0EMy8m735JJJJJJJJHYpJJJJJJJJJJJJJJJJJFGJJJJJJJJJJJJJJJJJJJJJJJJJJJJIr5JJJJJJJJJJJJJJJJJIrxJJJJJJJJJJJJJJJJJJJJJJJJJJJJHDJJJJJJJJJJJJJJJJJJEaJJJJJJJJJJJJJJJJJJJJJJJJJJJJIdpJJJJJJJJJJJJJJJJJIpRJJJJJJJJJJJJJJJJJJJJJJJJJJJJInJJJJJJJJJJJJJJJJJJCoJJJJJJJJJJIttJJIm0k2VJJJJJJJJ2pJJJJJJJJJJJJJJJJJIF4RkksUksR+uLRp/wCALAGmxttvvJsSLZySSSSSSSSSSSSSSSSSQWkgAEi20AASSSTbbQTSSQCJJIpJ0Fv2ySSSSSSST//EAC0RAQABAgQDCAMBAQEBAAAAAAERACExQVFhcYGRECAwobHB0fBAUPHhYHCA/9oACAEDAQE/EOxznCAbtSJG3V9IqdFFnbwYef8A0PNj0H+/8+OQhrb0Pl7blyA537WkxMMYL6UM3EyzOXjqGNQ1/AUEuFAMAWt2qGNYUnMpNBhj+BHmVgKGbn5eHgYdNbPoVP24OXZher+zZyLdoBMk21eVXajXVzouEzrs6zQwMOCaJj4CYQKWk0kj7ER1KUQVhcng9rUQBRc1sBaTVd6xEjUXzULKGJY8W29CNzwTqWEbS37igS4U/aFhTyG2tG4R2uVJIsWmMvmhoF43oGADbwZ7qxSQ9Ry4vimcYhl1205dgo1igJOSyE9aUqE0vRTAdbfjDFJVgM2hYMsgnzaSwJ0SHytTqhxSx/ngChgD2GrkNPiSXUz2sLESXQW9FQgOwgGA/M8A1JSgY2pS6TSXTCocOXwdtzYCeE0AAOwvZEaxWSTox31QWknHHEp2dNcJiMnhQNmxE9e1GYm60/1QGMCjyro7ZapkJvRNn6snSlQ4sj35+BZTZ3iKm/wougqEduY9qKAORsb+lQh55rQjc7GWZkVbeAKvyBQfjYxB9DF5vaGFqTuOJUQ699grdg59k3M7dWKIbADtABr7qKJllUi5j8dpnROO9nRWQgPydKiNXZGrDiOiYUyWrY9+Dl2DhQGnNml6s9+KtTUF5H1GgmQ7c2kIYofz9UPoLBz7pKFhK7s9zCiKhSRPgSRhZ4WoM/smPOjq8GIkVLjKr1ewmZGh4saUklA3MomJw/CTPAZtAJMO1xwqLxIWZ1WhLikCVgpJZsvljk515YqakMaEbncnkgq5FuybQJ4Y0WIOxoHEg4A58mg6SNAU1Blm60VcAjtSnm/K3cQJaGtI6diixsONBA4wdk5OK9OIAJ5G1ESoKbHOSjQ3omMBbtY3LPkGfdEhRxJXXqz3mYAPZROBOE4JV3JGqGl2ZaIlHYjQFoUYRAzN3cbnxLwL0AEHhNjoVCY0UaWAoGkjSxRZkHlHaK4RQEw0PYyJYoi+FXIjsnuEBC4d23DcOp+Kg9HcfYnFCcSmehCDQq+NMDpURAUAONGNgUoIY/Rb1MlkhZ3axSGeRgnIjDuCCwj6v+dhFGRWBYtWDE42pkrG9YKKTQEizUuQNFB0pcG7it159rhV28WOJmXuE2A0oway0cGsBE4j4okK4BgPv3HAlsVJS2x6NlQ1Bt3Lsw8lj50eHEhghnbLhQwYDswEeVLSBy7okjCD1fbwx2lUFQVoAb70gIaRxDir/wCKutZ1pFLiNg0O2EmNji2rZwHYck4BN6Xg4rJth2YXqehPMLloaelEzCmGnYn42WbYM0kCM0dzbIV6HdHsKE4l6M4pZNHR7G4/WXA+eyMGIl0IPWjIrFBUlwYUbbUPwnUjtvff0dkfR0WktwHg0KgDwKACD8dwshoVDEnrf8XHLcvH8O0dZcD/AHxmxLQkM4HA/wB7sU91OZcXzUxidZakM4H2NDsAVC72OIKwpBhShMDXnT0OwrYDETSVkW5PLCsSOlY9aQHBKTqUXv4kmYKGfBwebGiIwBB+na4Anlj42SKY40B5lfi4+KzMKY0iU89lq4h0xOjSpCsw2t2CWxkPLtQcawoj1wTrfw8IuKxVUP2SyESvX9AsE1INmxwLd0IOcHp4ZqZDRjgH4U6llidPxmOc5owOP6onchahepPW/dXBJ1KFRVyJeNDJRgiBaGSaQpMYGrTt5g96WaidaVogelMkGBED+A19XY/FyHClHW1z/TlywUtcvC/pUIy9PWmxEgc7UAmQHdVrwHzrY2tshRoyJU3pW9DSfrEuOR0ry56do97g7XHHPUpx2VqM2gHLxbZMKJZMPMouQHq+KOXKk8PGcI6/QqdapD8TOgAM/wANR+VPAu0AAZfnPfo8vAnZHjwqRPoHIoWCOVE2GJy0outl6X7yuYTG+DQ4YCKvM1EEZDbelFkD1pyNWX9exwouKWDY7T1oGMNqDFAVESmYkOy4Gi7EOvaEHHHPwtFp4EEtAHYXpjTVuMPSlAiaQpOVdEX6XqN4i5+A8T2T/gpBOGhabIGIl+1OZcW35SAyWtp+vhs1OXQpK0SMEuDRmlzfFfQPasx2y94oBFvXY4ZUYX8Bwq6VjRxfAajKy3SiF0dgYSClCULept4UQMq3CgNlCRxqBeERwz7LkRcL4xlFEFkHuJBQqDjU+EsEtLe1GNGHKKBgAoLAQPKOzAACaG8kt3LIpHMBjwQEqKuKntuhHnQ5pHshMTfweIR0HhmI5J7VFQ0qGlQMPDdgFi6+G5Nujqb1gkBHTxsYMGE41gRiO44JsVHkeIVDB2O5SIlwv8UsmZLobG1YUTar4Caq+tEALT9DuLFPr4MdO46nh0oqyaksPGexzgPKlKFSLq250gUfIcKcKkom4uCaJpURumXYLJBQz3AbyKzXy6mawuOKV/OULJJ4Hmnt+UOkqk4/hzQ4nDgac/ws3nMM+NHajxEHFrIE9fGI3EDkMtCAdwlOYnWphLLCxG9DQF43p/wCiylIaSX8Bq+Af1pUoWE1dQjHjn+NtYr9DxmjLe8ZtHcHKZHrUwadgBWFDT4jhZNDdKFRmCtYmeuFZE4uEj3c1IDl/wAJMysk83xmkzC1DnRjxz7sdoMOJTRcBAMRVvDfSiGZk9ak3wkYSUourCZ7gq5/86k0Agg7WguKpdCRrD2rFZ0s43hJ5f8Aq6d4DFprITZjr/0ThVltsVp8VJAbvanCRoI8z4rNkbhpKRexP8oSSedY/wDPDNsa5j4rB4TtIgmrowdS3pSHPPrUJktjQVlA5jTgDg+RWAHwJ9KuYtietAAEdP8AmEEhp6qXa5nx4QkFNypE1s26U2m9YulWybpZ61eFc6wY9aMI/wDKFCYN1o0yllgbnhxWCryq4PQouInCkjpCrN0aCa9JjHrWEPwJ9KkQlbr4rJtYKOtHSbzKkf8AjTQ3WJma8vSjqSP4TigpXE9KvzOVKSw4W9KTRwpV79w1D6rD0aB3PN+KwknAe9SeKok6lHSE429aJkXnQHD/AIUmwmkfEN/tR31oUGFynvqojF7aa+FHZA2aw+eRTM2cFPSoMcCXvSMk5BoTcPovtQqOGWeVWkJ0bPRqZv8A8C5dhcdEwqKLLA3O+GGi9w3Kz9P7Dud44JMBqOJVxu+tNVw/AgpJxrBCdcHrWJFtcfNRuiMeVRvVFKarA5VM/vtq57XlrREkj3xm55jJPer0RiOSZJ3ml1HR5NEvCR949+Mx/kI2pEYfFbSCiy431NaLzh/enDI41tLO6w8ApAOPk6tn7lRZQkPdFUmNRgYF/tifcaiGHvO7Cf3lR76A5hz8ZAhKdPE45Xho0y2LFY/mTFF/0G6umubpWFW375hIS9RDt26Hmdf53se1dTM50OmqdQ79zW3schwpYkq6yTJ8BCGdqt0P3B7w8iDgMShAWyODx0aAiSflIvFKsWSOpl+MltkgThRcymqH4oDBxVRtgcbUZIvBqRwe6TLBrjNPgFAuZZJmNGBqHUOeXefvrbuy5Kya7jkmT30iZ7ea9qfhCWe/fKlb9VZDt94CHA89zbvJ5g5U3ozzPg22oLMH8FIUu4ZH+UTEj3/OK8u/GDCEJ2G1NYgcQ46lClgzbtXtXErHycLelN/wt+av4+F7nxUqB3L2asHGy3lUKBOjZ86ElTRobC60TClwS0N++0OGDDlublN5y7rJWHey1srRq9qcFCd5g4SRoCUWC1+X3PwXkguz0t0pFJiO8k2aVjI83c39aBrxMx0fwE/IdGmuU8EweGtSMHxDpiVCoNu75xXl34wt5luNEkWM7mCVK2MY1NTvIcSsGnlV04KvvRlQyYvUJL5GTXiUrUj4CNYN21+X3KjJhITuvlCSNDTjAWXsP3PvhYYLITOmrxS03bngNzCSUOHGwdTg+B7UAPnShHOMx0fCkouSDjWN9SsU8i1PhLmra6nxUQQlxlI9KGbotIgeOjVqSYpYN+NGnc84qD+CVwfLQyY9gKxipPyb/ixUq4w99napCkWho+CkkNZiqzU5m2tGEke+beEwqOFmBqH1PeaczbOo/GNETQJdnLid/b5XoJQSX8xk+AqRNs6j7lIBiHtpxPASY3pam5R1ZHDvzq7Il8qL0dxL0rNjawq7q3LS8m5FGAHStorapMjAooEDDC79Z1b83ze7usR1tQ6YUF4vZ5P2fjwR4dTXiU2EieCnORqRmu0dPjwL9RgmSOJV/O+bOa0jvP0s38g4NEvCQ9+GTXwt0oKh8Butf0eTRrwkd8VCRp55rtHT4qe6kkU2BK3Vx6+BgV+p3faiAwGXeNeVj1rbg7BgwBuvZJ3XYatYpqZ5MfiISHCsAV3jzKnwQBs1KjSdHz4Dm6L0GiEvmyTJO6hJCUIhgg1Mvl/lHeUmKIeRoZteD4AqEomUlmetxPAYGOTo5VsNXlnz/IjsZnjJkHzVy7vq/ikpsLjo5U+HWRvrwe01WTGKEl6VYcuasTDl3JisLjmNONrE33NfAcvscWhxPudI0LndAsl2GqxKJ3bjs5cu/NZgMhGmTm+tNuJ4CN3PMzOdATqBzh8BiFsDqa8qAtI/k41Lqvq/jGTkYNT5KVmz2TE09GKDZJeKsJbiz60i0HY9orCAbH+qW3PozqJfgofWlFLnA8qhHzD7lTBLNGu531wi4UWG+Vl7D3km1Dk6cGgihIe+5es6TwaJ+557mz4AVzbGmicKfJl31Bw76MrNMGuu9tOX5KTamshTjhw/GQSGrgZv02aL+EgLGFvs8aellpMx79qcFqH3CmixC03bndeKAyUdFtkycubvY1MUXS1fo1b0lCBZPAbvF9vr7wo8oDCd+AGBdaOVEoZs13Nn9gBMjUz5TGyaTqeHgx8w0awfDEcRzO/fS85o4Z0/vDdZDJO6jOQh2c+VKwzeWSOHfQGEkd6gJAwGew9fAfKAyNDDwAmuXN4CH5aZlEMzLR0/TqBNW5XOhcE75xKDdaNNBY0JueGiO/0caKNxMx078ioPIdWz9yqMEkPcSmzROt8+b7hSUISyd/gxpkmY0L9+SvbwIDTYOpTJzeXtxO/E2oOcHM1550IkmH6Z5EZKBupzitd4F81iB8UaLguU9K8ntSvhYqBPlPmsE2zicewYVzDr8il6kfDT4/IHs1Jm5iZjo94TkhKl4yXJp3TEwkjwoiNttJ+XfafurbuyFXYTJyTJ8BEdV0OTROx5hrwe+FFmnq3MWp8n6Y2jLfyz8qTbII4d8iuGxo59gDIaSr5+xzPip7gKAL1/dfFJY9dWGbk0rEduStwB86UR/lx8Ro2bJ1H4oAbEvU04ngT9gpTPd99KPqEs98UuUhsvf64n3HwGK3dW/wANCOAWTRz/AEpss6ZYlybrDph4TrHycx1plseW17h54S4197/KC/y+K1nxB9qDRx0VLvOJpFiUeQ96SjwWG621Zsz/ACe9DXkfEZp9q4NEfCddHn30yhJGhLYhudfAVVBbW08E4AtDRyaEST9KYXCeQ59aESTwsIeHvs1hMFkzHw3RSNYzzB9LtpQ9pHw8GSpjWbtLJ3PudOjhMT8g85Gmh1WuTph+lOiRIpisvHLJ6eHDS5g1PkpepBJ4bgZGsaCbns2oakj4cZK4NWisO9Hv+SwDM4mZWD8n6U9tAzzdKXiyd0Y5TAUZMYncAOBSLi87HM+PEEoSNPNHb0ODQz4Za4YJkjiVDtL3M9J9vyEEhrDWkrIdPf8ASoCGmk8S27Tg1M9wK8gvn9e9PhKZXur8bEcxMKmbFt3NTxCYs0g0ROpk+IKhSyy/JW2nEdGtGJdzJ5/pc/r1oa/OmvaSriHtpxaeJiydA+e+C1M3251haFhmPdIUGoCVPPUePZ/S2K7hbmHnSiWJtd0oJ5hA1/xS9SP6U7uho0+KzCMtH9LCJGHvs7VI0g2GjQSgqeooQzXA4Hgw1s2O2vKgySPhgRYNAdzTRxK/sUhk60tF3AaX5evei75+1fSPmvpHzX0j5r6R819I+a+kfNfSPmvpHzX0j5r6R819I+aiv5P5prADBN3GkSU41g4+OqDyJqcElZpmzR1PejCSP6UcGk0fNLjZ8qWbveAHKYCpylg2ZjZ37ACElYlUuanM2owsj4cAnDUr+FS0hOVGEFQHjhQJr2rVeq4K/wArAPGwahbJ8xoXcjUR+K9SS9poMSDO4jrQ959H4rAicbVPc6lYHPOjCPdhmG9O160x6KtFnchuYlKyoY9TR3PEk4hGf4AphFDf4fikIPIntQnyVjG5lC4HrW6UBwakpvSxWi0fq9AS4PdnIJYKWKOXyTyN6SpK4vajORo684pzacNKL/lDYFGCXSkVDj30HGgocVO8wjPcbbUKADtX8ChoQcLelII4KqLkvOaiw6RS6ZNkPanBhsw+dHn5GPKraS0z6Ug2asRhmS1HhnSC82J+A3IaGcx1vmU2yHlWBvQrFOh2FiuhwXzTlnm+a0+urbUywRF86atbF6mnE7sQVr5HF+504eV7q0JGi+F1dB39aEb926VcRgjtJzPFvCUhmHi623XQNzjZ1BupyHzT60GkFhnYlgU8CK07wdHkylX9mn9in9inq8B6V70Fr6u9a9NRqbL0fFJNKS8fBAISlxSuDxNKlygYjicTv4gUnGLn4JJYkxHPaahmDisTuE1yecNIBPwGKxLjmOVK7dtPc2fBv9AuOjUEItu+5x7bQQyehzqwOOBoZHfaTBo40tjQ0H5oRufpN6wxeeTs7VMBmjXc/Bh7OJGKUaOHg5P+0dhKGU9L0zWYVcFFWQOvjwvDNGnxWElzHEdHwVBsk67O1CxZB9y7I6CSmrxx5d/CYLpgGrRUyY86z5aUPMjWNyt7Dv60J+lJFxAfcKdhmNHc4+E2oSSOdWHdcDq0YhDq0kuXaCtSpmFeM+tOg1EzgmramCUXMX7r2AF0aFEnAGrlSg9OqAoRM8pFrGeId9HnTTLLja1HQSsRs+JACR5xqblEXkfBILqNdnagUOCGj3yg8XINWpbweI8+XaqGR8qQqcZqfpiiOSGJ/m1NfcRqd56AcynZ3SE1kU6r2Kly8aWedI3Lq3fOgBAdyYPAzXQKL2/pfhQECx2GUVmt4cVt79oNQM9eyKUqaPQ8RBs0cUqU9RtQh5Hwck/EyGnxRLFwTMdO6VKUwFSwzw9HdITfndMzpSdSJ+mj9owTEaDWcBk+DUzh2oNmv4FEww2qO/koxaTpToBZQR2t6GaZWf8AO0FEuInbtmDuCzCRrUmKdrHF8RAQ04OVyNz4oasruooEdreozT5hqblF0ke4FFnmeHSn4lFefdQSGpzMa27Tg/oIGdQ1reoDh3EUwaLvLyNn5oBJ+PgaawNHioJDRpy7+6b0eSR8u0CsIyUJBXSAcdaVA0jDxPvCkYIeyKVhK5+5v68aJtJ6bdqxTgzGU61HeZWZbiYVgDLPEt2T4s9s1DWroim0T1pLHqFJfJWJT4S+lKiC2+VKsvcFfYfFPmmVpwdwHzNYqeEHpRm3mpIGdZVF8XMQ/DSxZ8FVuNyDVxCbMNWRwi/pVrIOjb1pYclAEnGuXF6fp3Vl5PwazdZmY79wA/Yo614B5mf21KCa+I4lNmGscainfkJ811eGY6PhL5mmLJNGAnSLJ9cagwTj/qobFBj/AFQSHhGPWvoPivoPivoPivoPivoPinzPM19r0T/qjy0E+tDb/IU/APxRnX60reub5oBkrur60Bk6UB8BRhD0rDE5UAwPAbSBow7l0fJVz716dkUVBPKl/AgydGoVsoWDrHxUJayZz3/T3R9Hi+alhzC+3O6AQvXiYNBb4yrnZRsE2FxfHZNGBiZDfep0swsf54aKzzj9YpGEDgaeFJyXlu0cENnf02a1HgLRBYJxW3DwocSoricJg8aLaafQfapnDuRH6iBbID32qMkPR3O83dOKuqxUzmxtnKpnNDk8GoNsoPfUqMmm5cD7UM38Bg/MrQ96wfm2QHhT0F9l2p1Own0U3ZfAnVxOkfNQgYDa14vgiRcWjKJDXGR2whtrmNEZC52zuef4ZSufyoW2GCZVhLGDkNe/IxIMN8NHLsUCStl+j5q4V6nemXiNI04tRB4PY1d3wp4n0nlQhsBUKrL4A4SkHGhyZjOhwPBaXn1DIeBS2Sk9x1yHRqd0HByHzrW34JXcJhwcfP8ALg9owTEawKZcg+dTwYmuOAGDxKHyvBzc6EEnaIcpBzpfbXo8zh9w8OfjULY1K3fBJS+xvm8qQrK3XwVXPC67G9HUIEBgHz3o7YLiYjU9Zx99zj4WCGx4UbdGhx70SjCr2/Mj3fJzGsFIwchrx1KPBbmTelfPI5OJTqEWK9tTfsMpAwaRrK3e/NQ1qGviTbAgYQfPgxdhJNTSk8mBw48fAY2HlsxoxzjR0e2exDFoCR61YnqFf2Kv3LuULY3AxBuXotjZYnE96CCR07hRlOeDZoZJrb8vAc4jmOtFW0OjX576kcMFjqhpWsMntglyAx/0pmysl1WzoSfQvpSyeBr3ovefgpfG6Kwc8VL2VzWpUxGx8zRJlHR6V/ZVp9VQ2R8WfWjD/FQL0ZT2qPHyKCy8bI0M6uvasAjxk9aE+Qq/E86MEO6oY0niaFy9a2PWtj1rY9aMAOtSZ+A0+LQ6bPepSZcs5VGlDY/2hrvyApxH4MelRI4gqw2fFWjDdAr+EUcgciHqUyhsxdKuZ2BLUXrh0b9xoGUPmUCxpU16MOLR02i3nSXJz8JH8loCrFIyfuVK080a7neILCUFsNg4PmrT9HAcs6SFCZPYLAmtn0q4B6UFgeMhxKwVeVYh0qyZSDJeBT3rSPP5r32h9qLkOKHo05B2NETM3BhisjopqbEuagFCdRKEv2M/EKUkQTm+aSYCmVrvD7UXJPiPmnzVCelBemMVFroeXS55XpSJWiJ60Fg05TSAuq1ac8qMO+0ARIHBxzjhRMyHPGefdCTq9KWJJuTNaPhfNzXV7BG5PpaTUzkGl2MbUFMfAT3/ACBJcUvbhUdLNHubPfIuDMYogVcLm1qWNo4HiUmKEyfCkkHf8KKbpO4sC1GLcQcTv4TvKotCIzYjCkh2fKoeeGbj4ACEqEYaHd3fEpXifIMDtKxBDnasaRUwyMaQDTOBllf8lEsYW+zxp6YYRxPAFPDMYod0mHzSEnIHlnTpwmT38GhShsA9GdB5/C8f54Ek4Ag5GRdqehwck1HxhDx52zxqNCBZNH8t4CUw7Gis+43QTR+SZHWNGfPSgi2fBPoDMYoQY6bH5pYDlDyzp2oTJt31oUuKuuXxWIlOI4OX21SFBk4jwcKnvcP8+g+1IuFcGyfeFIqEjuuIFQw4W1qDLNB8rRpClevBz7z/ANoPmjicsx0fzEPnGhYCcAw/1+VE0iGX/Y39aAvK8I+wMy1F4zANj801NrLHlnTFaMkip7uFWSPjcOWlZu/DeDS9wNS51KnujUhmUNswPRRRxMLhz07uFyoviXBwadAz4Q+ft6UPDJt3byBlZmpuedAVkfxkJi9w67d2PzEEhpcP9ANtqCJI+GTUGYxW9ymwo3beATv24feFRoTi5TwcOXfiClxVxOFHDiPd1cKRQhO6EZEzKhB6uB4OdPjcsfmmiQybdqTZpmM4DR1PegTyPjlJUG/HbnSYeXfBfnahEk7giTIeDahm5+hAEaUMTHRufFBUkfzYSRmUDESxLQyTV75JITSjQN7BwaQ2nAvAcH7epXF5cnDscHZok04rR+rUPfmKQYtbKkMRW161tetYIOtSN6dSP9xtNEV4nEPcoA8rt4LT0rdsP0SSRSFLvBfhrC2mI4jv+IgxawhOZSsPUKS+StlWwrYVsqGLdSpfkK/qFf1Cv6hX9Qr+oV/UKt7uZWBNEGVep+uRAmOE9rDMwdK2Ch0a9xQBhmyml0nsPlTjzwg9qvxqGY+alcC5vmgP9PzWzqfLV2IcFPShX4VI864UCCkdvIGWxntSYSHbvqJRvkk6MVJmCksTgLV/o9P0JihmGXFvUgGcXtt4OJNW4XOlsTgL6Ujype9HshTiHmhRgQcfhT50lfanCHB8mokclB7ULbjyrDpcVfWgPgrAxyrbdK23Stt0rbdKVlDwqb4K/gV/Ar+BX8Cv4FfwKHh5BUDKDstOXuao/mofajBvF8GoUcRR6/ND43NJOpQci8s+Dx0qbBFge/jGwQ55JpQAQdxwpckkjMs0gTMw4HHWhxwNihHQkG+T2KC6UVGGU6MfnxLRYD7ejBB5K2lNpTaU2lNr0fNLPZU468EKHi7iWsCOlBwJyoAwPzUwJT8iusUYMZkyPGuP4YDl11OPaN8epWCtF63FwosgxLfNvWDDw/59oirZHDA7Ja4GbMUdAVurWI4EGo0f9HE+RI0GL/8Aukz2ybC2oOG+vT/omjkwTTUm5UwoUsETqOtJS4v+ibJYQ51dmE8P/o8yFAAJw1q6QWDbk7/9E1IrRDWblMPtwRnJg1Nm0/6IKGbI2SkN0/8Ait8gxFroUqUwCEZ/9Fjxo0gDmZ1maYXvUzP/AEa1Fs1FAlNFL9f+AmpNakqSpPHmpKkqSpKkqSp/4eUMY0NnBg5NGRByGCjPfmrU675r65719c96ch81HqSj7VPxjf4VDWS5lSokNQUBRu1x5TVleYR61fgeZQjhTSdQ5QWrc9Ct30KgR5T4qbHqR7UZ781f31f31f31f31f31f31OR1Vbe9EREyRhQgw6p8V/gnxWXHj8Gr2VzKbNDwFGG3BGn2goyTxVGcHN8Vt9T4rZ6nxUePmVqvUoXTyaFy1gA61hU8yhLjP68it4G+1GExYky4m3hQNYRvKjYScLelDRwymTz/ADYKhpWxW1W3WypTEdCnT9Csc3KgoQcLelBI4eqn3EMhPnXpcY9ai+Wh96AJ48qggR3t60AlT+WcJxDM8cWGQdNIetEGkf26HErDt5Um5zjJ0acLFnY9KnBdMQ0Yfg4JnE296HiDQ494xzJ9vHYjI0za679uX7uPT+vWglG0DkZfgtJG9N+HemBYczg50YoTAcHWHuWPaVXMt59ozA+LC7AutEwpmsWR78/1s+MH6WYaACZ+FNTWFnE1PQpsWs3A5qOpRfcPF+KLh+QHzX8I+KNJFMJD2irW/Z4sDl3ALZzzoZL05ygvQ3oNyKJusiw0oD4o4dY0fOlDFs/qUCXCmYOgJ88Kh3Vc34pTKXjbpQgDxTykSKbjVa5OmFT348g3qXArZ74VlMaqXoUXeyFnlV3Aurd86KgxUdxReGg235UdxW66uvcaBlD51jIjOJoWLuK6ubRS8ielJVdD0rHxIqEmi0dT3o0kj+mAlanL28Di0JwXAObi1AIG3aAVwKCoJmJKGkC5oUNaRzPDKWcPfZ40DNhZNHvTYNRd5FMkO4t0woGCOHgoQhoDX/KLHcUAllQD2QT1dnkmgD2elZoRiW8r+VSRHnMDw1rOS8NGMjjUytTp9YfpAZIKZN2sDi0peHAOebUWg27qhRK/BjQkYCh4RKB4/kbmm9CGs+HFyTKzNTcp2ZHux+AbLOimGa9mNgjpnWLMBMYU7EAB3Lr6UMGAKsHxBB/FySme2OjX5/QrkANaYKWuHV8UtyJb/VQTBVyHiYrQ6hX9AqNZNu1a8J1KwAirYRJNPhFjjNIX6UG5ieXhoJDWYjuateFK4hvy/IwoZJm++dZVCUCpTblk4+JEtFxb6cGpUcAPfh+dgdOmL0Kk2H62pEYtMulDjgNO2dMJb8L1AZgJcfNBGh2KjEGh2oP4UMdyZ0GH+0lBMmzrQcxmBwKsPc9O5w8B+EjTkoPL3bUeLRfc1oZw/HEMswex1fZm7nwoth4oZ4840am4QLJmP5ViZulK5e7A61iPoONXS/q3erRt3TzT6VxqLxC3IXP5oZudxOFt2050IJOzF5SenZHGWHk1HRgHwm9HnBJLhFilCfAejI0OZcTLZ33oAs2GY4/NB2kc/wBPkhYmQ+dKzjmJmOj+KsXaVwg3TAfLU2EdM6PcCcj5p0luYcjCjYIPAW68459mQ8a3VjiW7g8WaZwA4CcdaGgpgDdaW42rnl07Ej5Q9MajW7cvGisOp6lGwtjM08F4cjWjACy2+VLN1u6PrKpVcvn9PDzyA+ak5xMx0fxMXUGXSo5ByxPPWlrjU3fFbUYzAn1B7saCb0UOTbtKKRIoqLCCnByNEBCeErCRqQsuuPyKkLqmX+t6hsRjGJ+n9jgHzvWbzMzHR/CcTjnXoRfFYgeb8U4svD5UBj5FQ4rqUlj5VRY+XUePQK/kVZiHKgb8SVPRZxE9awxeZRhHsJlnTY8mfz2TQ0kc6vhjY02L6oPSiqSP4YF/JDRopDNL7h+nwecoPnRrD2mJmOj+YhxKsYPKsDOlCOgqoVlxBow0+I+a231xpciH1xo8ilnl80lCTq39awLFJJDR4YFXm/iMp8g5OzUJHMH3J/T4PMxl/resOyYmY6P7xgb1Ro1bKBZNH9PhCGJkNHfSsBAsjiP7yMlmDR8lGFkf0+DoYmQ0471gRSyZj+7i0UoPQmTo96BPI4fp5xwcdNjSBEOKxP3aI5GjiTitHThpUz+mijkDwHvrSmCczB567fp5/EAmRqcdmLR8n6gnSpG3ofitPyfCpczgvinNHCm2p9X+q+r/AF2YD7PejJFDPBzfFfd8Ffd8Ffd8Ffd8FOcOanOFPVDB60qjyFRbHxX4oMd6zQ2IfW9KfZ6195819580D9nrThH5f7UDB81RUipFQXAdagXD63rRPCg3tj4qXHya/u1/dr+7R8A0oleYPxUC4+t6nW9aix6r8V/Ufiv6D8V/Qfiv6D8VFnfW1OI8qoE8lDQDqa9qhYHO3rQ8g945VFwdGmQYtJ7nH9Rtq21B4BUB3YqCtitqtqtqtqtj9FHY4goSw8qWlFspUiR8UaDk4mHpQsgtpKAxHX/KOPe/lH+Y+ahS3fE0aIEifwv/xAAtEQEAAQIEBAUFAQEBAQAAAAABEQAxIUFRYSBxgZEQMKGx0UBQwfDx4WBwgP/aAAgBAgEBPxDwGBQq7FWfIAPeo1UY/HzxPp/0PTR3PBP/ADbCQK3vpSGMvHCGYumHAQYnaUTS4RDZuPX6CGp88FAUClEnHgvS6NELFW8+alAlzWJf7GxKSt93ag2V9XxwZkvV8UusO+h1qeMdHIyKTZxHLc5Uk5JcdRt5AuypGsULnhzSezQSFiA3OZ4lXKtYdTu4w6BtVtA0RTAikwtyaNIjDfyXyCVTnBhwGLBejJwJB9TvSWQuviIiMZImJzq9o5Ye1ISi7s+XPjejyaBnyfNBWDAGm+tFEilaQgDchYoCFG0kU2gk0xPpmwNwlgpCTDMx2KGyHUZPXGhhi0Fv8fIi3ND18HPzSiMtA7Hg0ZM2RqgRSMyvDGt0enkR2iSyFoLBBrDvUsbFPz44Duo5xSVl8GnxEoFMGD3J4zFhoYsnk0BMiIWJ3OdLTQzEfEy5sOv+KfTpT0dR4xtR5HaseGvBj3oiecdbadPIZJ2WEzUX+lXRHajLSzEeJOUvX3dqmV0yDQqEwfAguTPYrFSVfemOFYpx+mXBieZNjpUeDXIGNkzpEHLjlbJV28DK5K9iadC6r4qobS9DwcDdoBPEHentOLAgaz7A+GpBZeEu4lk1G9CTTjr8czwvrKRQN2HYDyBKFTDoD0pYhcPHJDCSaQdvH+01pFi1Y4FguwDaSeC9E1KrMMcEcBcpGV5acnrmNulJ2DJgmPKlokDseDJwKbgnX+qYRQYCBGzz+iLHK5FIqG/iR5lMpyhBtGVMl6RwJaN+IOGdszKvXvhyq1+DcSA6uPgDVEc7Vn4trhPUMupSEIFMR0Tnk7U1EqnxidMevACgKalCZNTRktJdiKYstL4QhkwmjBCo6m9IwJaO39dOrpTBZXHxJjASN1y4RkJSz7AduFo3EfzrCQF4uPJrWrQNAWRqJFPQI1UpoIDOQ7ODFuSDm1KsvkR4ErZHvSsdVGClaQwk8DkqB18VO8sUjEtR4COFkzvWCs+jy8Z8WjkLunDinZOwpnc3xioaVyAizQPVDI9KjYa1cWkwKCq8q5wNFydvoxhUSGauJsN6hFQmsZvBijNexHgzBABKGeNXhvKGjQxNquhqKFQmNRgoZyPehisCwYB04JjUCYY4FuBCuFDknOB5lTJWmypKIXK74OAqoOwBikGJ6kGpaFq1Hjhv5a3FHFiwRLLHOnzSuPhdQ60HCvVqPFpQmdXseW+0AFqQxkroY2oUZKGyhYYf6rDjioYj7O66vjP22JyMahjMavT6BcDtaihSMMzG9FXwqNOGEhZM3JqZEDg6+BlJixMbkUCmuScHg36g+7RwXKUjycKsJ3HUyfA5JCHN8JG2MGrL7UrvK3pLBxBIIzvVyg0Z8cAbe7wkODmDWeDqVKQwc2nFl444oqPJN6yPenW5MdsPMjybeBg5efHBiLSHN+POvWC9R50OC1BIPZ9hrHsNIK05t+Tv4KpC+ApZpaGJBpEwa9E+/gvtLZQggGwfW9Z51sR2qQCmN4e3mwYlq3k3+FJSEyrL9o/thW85RbiaRNzg5GB5pIyDia1hUMsAwO1BhRrZ7lNGAt9/DDFoX18Ri1NJtxL8UeVqHnZwatKj9yAzGA6H2C+FRY5c82/Dj/Qd8fLUrMe9Eo1+ijkIZgz+mJKxYTd5UfaWNzB61tEx2w4ef29qkKHdIOVEUAuKUq2FAhibuhRBMyTtxILRHtjUiBT3oaIxIZTpt9D6ZU/SJn5omwsAMvs7cMtAYnXD3qTYNb+1HbRV0KZBurw7nBTNpY75mmxhGnxQE7qCbEgPd3r1z38cm0T4meW+1Em9tGQUw27DuN6VrEr6DTglXbB804iDAd/OxkaajXBJ83KkbkfRjXBHNwKVSv1wG6/XyIwz5b1Cp3lzaWlHVphySeutPZH64VHCYqWCRa9LfSWphlqYGAY7UDBk7FEOHIynLxyjkm74jICk33pA0renEKAGF8ArEowZlHLwaTEe0HyhM7XNyKUvFH8oABq96NErrKgDg1Fh3wqWQG/0BkjIdP8AVHIw6o9KOEsEt4TUG6w6/VBLDjbx+nlnpLvQLqiJYL0yYnorc7HzQeJ24/FKpOkO+dZ4cMVHjhviKdw8gicBBgP4pJhnCxUUl4KFAlgnYY+S1IrAx5lRGAzPKpCYmeeXhDnOA4WnOaZ3MnAepoS8vLCcCsj5JtK7zmm6k0nHgg60VeBWKcaCwGebQOIuJ5IKgS1hwjwmsNMbxSQoTwhCYw8nlryxjGofnwx8MfLToixp5YwOAV0tV9tT387Gbw3i1XclPAZy7B7tR5c2Zd6akmgMDRob0YiNBq7u9JFiYlYUE6Ee1Mg4x4L0JKFJ78BqOGtNCJWYxOXheBGdaLmAZwAxOVFlT1POiiJ8SALjqOtTTBS7L4IwS8MFZoVkmh2FXuchr+0+KgRD5Ho/1UMgEPL6R7QS5/RMvCkstE4CNjVyKzHnDll5keCLWR6tqWVeBBGTPao+MWLxZ2q4I5Ye1f0mmsCC6w4eQYG6Pl9tMaTeL1gNTbYy+mwldh5XfPwX+IyOF8oxe1KUZ+AKgpAN5Hniik8hINS+nxxYg6VbGlLwlGPBlIFdft0fTKEMVjO1/OAFE8aXJm3It5CgEwzTTAjK4zUMTU96lOiHoVG9rBiYaGYKvEY8CHcP+dtSKSWo8IIFhUOLZ0JoPinNUN70w/8Aq5YpWxQuCO5PhP8A0LE2Yga/NRAOz8lZ6NVJ2ay/yCUJCHcNLQxzHxmp/wCbW7+7FYECYeGNJyhQcKm+PvUzHSsahwn6M6jBHsNF1HOl23mx70JgW4anAHep/wCXlMSiPIDeZPzR5LEkdmoYd4x71fJ0jvWNR9UNWMdGrs+zTcHhP/JJGS8BqUEznFW3mXtOTWAncpmZvPGhLTuKyzzUV77CfavcEw0tiQbD5r/UnzV97FPw50ax0qfCf+KRtgxbk6dafhCYP0MUWjQFn3a/OBoSMfMGhE86FWvT4VP7LL3r8citG81UWdnmHs1dm8sfanYc5lIl6n/hBGElAFuAeWfkQETjxoufNtu5LR8YuYP4oX1oV+SiVFtXRD809uDi9axNI1MT0q3/AAJK5YDUb0DOLEWzxtFYFqYIQLnFIVRt8+iwNI0cTtVm51wNZyNknpVx2FABwYmf35p3b/sn+UqCE43hZetRNfPiQrhfconnca4v9POKQmnE8j7GlNIg++vDCMlaaw7C/kXXGZ+aNWHiJj/yeNzaaQbhbl5wqkooFrZznqUPcrC3+ffWU0HTJ3q9kMPGgkNNzbbiN86kFvHqcaEwBb4oI3XyFgVoeXhaacRurNIkxzdzlqUjQhPqgAshVuyezmd/pscMBWLxtrThInQJS+KHYU9Cnlj7VgjHMSoThQhcqEcWPkFdUhuHqcUBaVEXGmZrn5oQCeR3VmtE+KJwkzKHR5blzb01gJ9CCWHBM38TTxS4/TK9S+mbPrG6UFYHlPLRoe3aYHSrAurVrbzx96PU3i9Kztzvw04xtn5CnH8jxVj6xqYnpSECKYlisBqN6IcXFW2nTyFBhC1BLmX4g88NqGSTiAtikFlu/HkXwaZhfE1M48VnCgaQnNNnalI8nJNT6Av1DUrAAlxu89KT3PIejnU5q34fTK9S+mcrJx5Z+lOxYtNm41E41l0dGp4RTEq+51rAhNx+KSoJcyqfeD0nTk0aMJ5DZbmfmgIW4SSw0mU5cY5ZLNIGy8hRQ/ZN/I/L0L4pZ03JNTyZ8F4V5FfiBX+oPmtT0K3exTCUsFCEqGwDjBlHbUrFVggGJ2zrfg9EqZaEBd8U4WfdVWDrGROp9NBub5puVGZnGWp5JgyVko8Wgyd6YBCcaGBp64t8cVvwFqwyxfjUi09aMT5ByFlmmOSv5ARcPe0dqPiEvxxQdEKcI+wg71ak3xNC4FsD/au86tN4PWt6t6gadWkZCGBcCmLdoZHLh2CZ7Y0juQUOQ+Hrvp3f30dOTR4Qj5IdISolaLU16eQUuhMlxP3yiKxx2b4mjHjmmK4X3oFncYJISso5g1NeIYZokqAwAt2qOOFqfYbH5p88rnxL5An2rfF8E5lS7B4ZWnFaH+1YkRHUn6QVSONQZnB5cvKNnietGj1DV8VPGJLT2oTwySQ02Vdb441Fiuy918iMIr0e2fItoZmpnW+RXPLp9LHjHgBGl1q+Kw8n2H0qE8VgNShk5xVtp08bjih7GrMKA28HwgLFYDJKz3sOmz5Bwe9s0M4nDNGeVYPcYPGMZglmkGWv5DmpBtvU8hBsbvR060rOE+puK9L7D6ZekXGr4aAPE8Ldmtr2ppHWHXwGAsvSoOY05sDaKRhsP0zqFbJumzvxuLDWS7J24kOzn80AktxmLhfcoT5Eoy1DGvnxg1hKBDgwO+vX6m1qiaJETGLz+mtiVg7l/pueWGCbuzqcqDozjZCcYxl8qeWGOEDKkSxl8eQHMN9t6QJHyEytufmgJYePDGVgNTOnBsi6bPL7gmEJUEIG1m1jR8s/rDNqVeksRLJk8bEsKKJfPbhSexiUcuZfnxgVZ02crfHkAFWabK23kEEfkZNK8izqa/Z4lisUF0abRHG8wnCGpQzYwlbPlNFkw6n+KXFyck1OPLNmUITB4Q5c3PzQBJxlPpC2Hr5Bwly21LlC/kZQj4HMpEYb/Zhpi5pjJZP+0PccwrOXkRVkvWe9PrbB9q0NzVW3WyV1NiWTUppc2Df6HJoaIfLEbPUXxUVcMnJNTiSamzxXPjhBlakyFxPjyERbfsUUbr5GYkvuUStPG2ENBZaD9MH7Mhpgw9cvWo9aZ58ZoXidTLwFWYUAhyt5k/PCsYtbKtlQtkqTxzYOYvin133NTzLbctWGNl/IbPVz80AB5BMH+T5Bpj4I215lM1yxWpl9lEXjGhsYg7CjyQNvM1NKBMf12nAgIfHlakdw61mPrjXI9FDQQ5WrJwf7PxSEITDzGgcS+9EuOAqtSomTyEYB5KuvG3mZSIw/ZcX3jqGXakRh8qFU3dnUq85YrJPLMPCVZOMTTqb0nCEv5gYN99qEST6h04Sgz0Wmbv8AZWwhGaKNBzyczys6Xpg36OnJoOIVD5Zx4TOrMAYP5b01CE8sihg0knsfx9SXQjk5NXNl9lSPUOX+qGiEY4QEtDkHAlCYlEVrg6mT5gJISiYRFg9TmeZ22VMWnqfUTDJSY5CBmmTR9kFGS9EW1Y+5zOFjsF/igEMuErbsmo3KhsTFNnR8xy8T1NOtE1EjRzPMgWW/1I3HLJqVjh4xs5nT7LllOO5pUU+KczxwjErFYa3b8bnRXberglisk4W2FSW9VbHvWx71se9fAWpgkmoNly0/1QoQ4Psq3YXVrWU1Z1NfsrKE3zTc3Kjoy8VqU4E0jnseTNjBjvacmkBwL+WKgXKVS2pqZ1vu1C4S7UBLDmlHrHFfjdnzIiIiIiIiX/DRfKiiYuwoee0pOAnPzxU+ZFOhhqcmDi0aP4pwcJ9lbLrNXxQR4nrvxgVMPHEjsJVgBYOk13pwcJ5Y6LLRr+g0ijuGl2KfoFZUUp7yrQDuFXxTuT0qbw/RKi4M6BKUx5V8qnhDDC6e1IYRej5q4N5Y1F8DV3Do0oucMmi2owDGtu4rDaHQltrRVKbdHU2fMg5BOX0Bq80mx7j5oZPvPmm+7FY2Do0ld9mtqkS/iM7qNFETAThJrFCbB9aAEHiWeEpaMWRk1N9aiPqpCtzyRUiwoBkg5bHeliI3a/tUhInnj70eqcU3E6VNfuVaR7irOpuSU4gjZPzWPINcu9CmJSkTREOPmYcuHQ4P0EpiUurZE5ZPzSkiOtWXvNfkxX+NK0x5ihWU9Fa1Ref7OdFykyRY/wAoOWNjo68mjg9Tt6AEHCeSEpD75HNNqthwukQVsa2Papyh9Kjv663HepLeuuT6qzn0qDfvV/arMZ61D8NIWL0qNdI10jXTMEqa70qDd71Pde9fsWhLyQVSNAHgc3k61FjKslnk8ZiBoKlGS+Q0kzYbD1RWdDYWanxUzYH5oSR+gDmzgmSZ0bxcdfjmeTgTKwGSVPmcU22eXi2brUQcc5ESgBg46mqVbD7LdpXG5uVCNknTZ+hzvsTYfj80rgHFMz/PFAdY74UB+S+9IoE1iqHTzz869WvzSjHMksmvkNGJ5k03N6QGuP0z8FwrnHOm+mtNlb5aUtEJViNj+Y2qz9lWRzR+3oS/qDZqfInwRhHpQWdku9isgL2PmrAZvjUOAFIOFHKKKdAMRcdG9EECwLDRSJNT3pyWLl0IJpCCGiVrBo5whiVZvJNtTp4Cced8aZgASJbzJnQnSdHZomIHkgwaDTcpincLU8gZnqbGniMSE9dqIiLT7MOhM0WT5ob+dNHixrsGi4zUUf7WdHofzUOAnXF6UPEBoYHpSqleCMnNyDVpn+g4fKkVMXwUBpzhmDyCo8EpuH0w8cBOr38zEZKdKFB7DvTqMPJRdOzmtSkGOXHJNeFAVtSZGWPzwNOWw45OTQUQj9mQuNXVmlmN1HyODlWBGBzpmWt3jazj4hh70fUMxZx4IhEEX++KoWCzG/g1AdgHEkaBIBqkvLzBRkogkDqbNJYA4RngnPHpOnJpCEJ+zwM7hvyoiHCKMlAj2sfc5/XzUOlQ6VDpSJfgAREpuMHV3PikVIx+nuqKvifNFGSligYfhadBCeu54oCGlXYNEMfsVM4niCeB09naloQ++545Fjxkaw48m9FfzE5ONT58+ONYAjQKTtNCW7ip/irQPND3aPUPTdWyfCnsGArMvN8KLF88agtaAFxyFAAAuCHyVKxz4VkPqiswW5JV9sDg0bLM1MfagboUzGLVns/P2czjHV5tqyhNnJNuAiCSl9ho0xFzKMfCVGHUHTlUVeTkmp5UDwROIxzpBY5Kh71BblypNj7VC9Har45on24qEIQj6EiPev2wrD/FPqEh7VkTqqPwW1Bb0co+ilyBDYCl81LfM033cq/b1aZb8EcAFglNwRP02awAvbo+FqTluRofmxIe9TzZixRpPzThDFEYxt9nwoltruPio5ssPZ0eEqDNXz2GsAs6PhEqWzmttqgEyAt/fLz6a6UIAajycndO3TI+fCPGOBji/lYW8OXctzk011ke4cEfaZoM0vc3oHM++xo4cVEOtfpzRsv5qXDPL8b1OPWPcKxPIE3V6VCi/lqMgqx8+TrhWKj3FfyZAlpEysDxOpjmZJvS+MnT3Nvo3oMP1UzMW6s1cQrma0aOIKIh8BjhpxmO7n8VhoezyeLPhWqOpKu+UiosHFj8+STK1ZqsuXlErrd0KEWDgFdY1NKuoVzNb7fQu1QCvE+Zb6u9FXGyVeu75l8UeTyVlucmm+uzJ0zpFQ+JMqV8+3LyxYElGHkqCxf4UAIPJfOKh1lvxXSLBGyUuYlnbZ8q8jtz0piTOot/nFiTOD8/WTWwzMkq8pXM18eS0ThJpWZblPUzoYSew/Oj4ZSKAEHDPjDpUPmJNx8kqgvWIE6vIExHrMkp30HU14QWxSMK9Gh5Ow1/ErC+jZpBU4wspg4U4s3dnk/ikjBNeBjWfHMtURh9W1cIOCZJSxuhq0+OOaSYOelCyeM+eaVv8aExlmwHetz6Ul8w/NeoH8KsAu0tAWu6s6PKn7AFa3d6YUC7q/iqlwVOSnAp5ENZ35Ke/IGhLepVnM3E9afRX8qvE+SPtSHxVaN0auwcJLgVJZdmkM3Zrc9mtz2rc9qxJDpSJc8Z8J4Arxc67qhDJDjrvRgBNVj2qNBdU1kbzJpP0AVpfkB+Kunca/qNOCnVk7M0MoxOBF6w4bzAqWovee3AUrOT0aEpktR/Ml3kU4zb1j2ox8ZeiXPCfqHQLDUPmiA+QdNniQSGksBtlUnFPShEk8FZUcq3HdoKFerSrdqPKjxFLNXdOrRhjuNWFUNgXMFSuVD2kkqzbk+VHuA/CgzkYKSTS4iOsUA4J0U1gBojX6or9YUH/g+KGZZzFSXlMzzaSm/TkqPQMj717+iaVtDqr31YqxeBqI0vnExmHCgk8LBo15nkzuIXm5ZTTFkmVg6cMw2e9YGbuqcApwmGRkG3hImnuKAkmdMaMh81SEhur3Pp2kYrL8hvUoTNPw7nGLBJSuYNm1TI5elCJJ5QmI+hjwLZqPExQpFY7As9eO4JyakCaRGONHnxPXnUtDLIt5CSDjUzWo8O/wCHtRX5xbvg0HEqB6a+AmEObaihMRk6oKPqJjEu7blAc7RZPINgkpXgNm1ScU1yoGIeO9XZmlJZNHkZxT2qTHnEP6hicqknFYjqfVlqgcHxdOcDsnCPqYpa+s7HSmxYnZ3PJAwSUok5MmkeIa5UAkeMfG+tZBuF6Ml8bYiPQ1Ax+xQzjwgyzqXH5pRUs8Qv84fFLgtnqan1hx0AqUGjut/8UfVEHg/yaajA8oGCSlmA2ypXiGuVGyp41rWqrcw1PijsfzxAQcKcYyaUnY0cRMugfgNy1GyycEVgEOdk6OzSQ4T6aayEhmb/AGEwZKHN/AHelBwnlgITwAlvIxNIdSmwAb0TnxDY4OpRDFMmhHEtwoCGpmOaZUYeDfKhZU8BRIvtGj+KTnCeegQl4ct+lSz++H5qEvwY61DmUyfYRVJej0QtkdmlYwn1sQJKHOMy040ExoTPL07VY4OpWMufAU8JSEYstT9Y+TDU9lRZKt/2a3/Zq5I6VjahMU/gb0z+gt8DSo4F/HfJjvhWx6+xWxKF2TmnPUq+IbJZNvpIW1MQ70axTsGrN2K31b7961vv3rW+paHsV/Ea/jNfxmv4zX8Zr+M1/Eaxk3Rpvh7UmTSQSHbxFva5qaVjk3DVp4tCVcpwIRFWKbn4VOwfOWlZL9b0xYforQQ6KX/wfFftiv2xWqOYfFBO5Q9qwoPND/O+FFcfMl3eLb60GML4x7kj60DDOHuVFmWjAhOqH5rHoe/J+wqZuS5rbatBbD2d/JLRV6XSgJwc0KPWXRst1qX6AWsyPJUHx6AK99kPapU9RLSqeXCtLcgKU+Sm67jX9Jr+g1/Qa/pNYJ3DQHyV/Qr+hX9Cv6Ff0K/oU3IuuNFsE3FC3VJfoJKzPyfKvYAn2qFO1DD2aTg4QucyMyjJU4i/HTzWkbicsjq7UqsvAUIWGirBFGsTJd3lpS5682lSyEm2Z4BAU+SSB7n1zUsGcX7hTcI5Kv7yv7yv7yv7yo7d5UD3FWV/MmhZeUK9lGFMS71aVfrZRkoWFjS52aRIOTEJy+kQBwHYW8b1ZKm9G7WXkXp+yTBBkYVfrmI/6BUscDnd6UVFTKRiTR0oNgKsdBLonz/0EcEqpMGLplR/7mlAxRihjUwZ7d/+jZwjEdGMGnBSjisxomlEEWf9E0mIL0rCxI5//RzWAICqxfSpexxLj1NT/o0IUBbxF6G/jyzDZuVHCtL/ANErNGKdxoU/9In/AKMgVsmmrQAkYg45TR/0JEjqUBrOAjSILUC37KIj/ozJAZCaZA644dvv7/0RE42qOSS5mUhc3GUxpyeyrT7Kv5av5ajP/RTevkJTkfkqnJ7LUCzzVLM7RgaxbsI1fg6NQl/AeiM5ca2ndrad2pE9bNf0Co7FT+Kr+Kr+Kr+Kr+Kr+KrU7ap8UzMzI5/o51rdmhE9JNZzOVEseg0XIc1V31AlKGM61JccqOcOiv3Cv3CtnsVpB2Un/o+aQz9yr72J9qusdGpFz7c08rqbOvzTILSZWeXPSjyl5c5LVqbzx96ZjXRDR9bLU6qlrW/W+0Wi7tAZu7VjXVpSRPPH3otP3FaXdVHpV/zwn2qd6ySn0h0xRU2x9qRUYPq3AFhyfOadvnvXd+KYHCfdxS1X3OuHakwI1iHvWZNLEd6igOeH0V8zZ3/FJzJqMTic5vH588KsJUBcGBPej71NFPbtSZJEqWXP6IMXunyUcbPlH6aUikC6XOZwYxyA6X9PFQSnm4ZysBqNCknHX46fbJ8L+b+h8yUFI5eZeTkKiShuCsqKZCfW1e+tCrAuqa/uNPsAbwv5rF15HIyvJ4G6PvSnBwolmBe7tRbiDEAQlqiGPNfLrP0wpYeJ6/aQVBepvGso9L1K2Bnb5U/AZylpZZ81OIRmju0Wmbv5E+y2pBzgHtWeVoIO7VluGJWErDQwPSnpcvCQmQl30OtMcMsGhpwQLWT0qy2V5ClDwLBoZFJh6/iiANX386U2Hj1NH8U4CEv9mCQMaip37vIpH6hPQyqQxb+IKAlaSJJYUNKFRMpGnKBMny12Pf23OVLVisR1OKBTNZgdWsMG0x73pWQu9RxtLxJSui368JOMEKYTGLG7Dw9ZTUbveolskwYQw9aI4LkEpz0rG5jPU8sO8Jaoq6XX9XqfsaEEtGx793IoDDvOemlTELfhJyYYc1qVSloMqJUrMBzNmnBwnly/h7To7NHzCfSqN4xpvf2t4WeE94qVySpN6PCVHY2PenjyuNOXbvmAvqGppQrcjVo/j7CMJVyKjFGl10oH1Y/xTxS3q5PITWt3Ff2FSjDo4eI0uGNhxq+E/s08hMMUAQ4nKKRhoXI2fXy7YlANjwdGnOg5EGE7/UzC0fjwlbLQaAwzLeZLHYDbXmVBtdL8O/12ONGtju0esU92oEta/dTZpXN8RMSs96kckBwfBpiOm7U5S1fEjdPXalboiNS/+UIyM26k5fi7zauNn34OfkH0hLUaRd/8lMk1fwNKxL/ToBiuUlFhEiMDGOdXv5q7F9RqVCFnGWSfVS6LYaARBpd7VbxX6xWFNGhgdiufCugPerVK2qXmxREYeAF8cG8Zc6SMHwwovJ9fCdsEvUqYlKeXN3akAiMsCJjSSh8g+kCkNot57mo6U6AO9g8qTlCZfZ8+Czmvirvxs5Jt9LfAoOxDAGL4pXHTWx3p/Dk6tYBNu/VpVWXyAswhPSimz8K2jjk48C5YqhL680eWlMxhupAFErUDpd7+GPW4nxU74GAOVQxtH2aamAXJ18kekCtceRhO9BzA8DXt8qdj1yeX2eYPqF8V2RuSan0i8CkRqqdB87DkaUThdBgedJe7HtwzjDthSVwd/FIISSk4lJaEPCUmejRbyQMJKgjHpb4NRH0M3+Kv7JFko+zDPfC+Kyy5OSan0RiMG2te7VPvTYD0Kzyc5e1SmHrVPbvKmt6taFOh3nwYG4da9kQoCcXJH2axgXRpwCVNMQuUAHBl8ZeK8JyFFxQ3fE0Y1dE0lCB9G1H1S1KCJkCz/v2cPidZ/ir1Rs5JqfUxUeEuVYyp1r8qKPVQKzQ5SVdn0VbnvoJkfdXrAcVCSgbYe1NS5owxpREoAcj6QWDMGm5Tg+Tfnc+z3vq2bl2q4cbJZNT72lPh9y1KxOlYrU+z3TqzmtTaroFiJZPvkpsV2r4aXnCfZmr+3ZzWvKrkRxHJPve9DW1epq/FPjhL/Z0QJbarUqfXbCz97NPCU4KLbRqb61jn9nbTu6/GlDJqybH43+qny5qan6RkISoe4rNXw/aEdav3p80Zvq+VQ5HMVFYc6Sz8YiTqOR+zlU1xRy1dFfuFfuFfuFfuFGUOijKH62rKPlLUaewqzvJBUm3YKQs1IPGc4thUEufWtirYq2KtioKydqnYNSVc5qkfzGoLV/xq/iVP8FTfh1HIOkKn4LlQ2HapnAehX8+v51fzq/nVLQLL1Kzh5yU+gf5V7MMfamoY5nC0kZnAGpQgl2vw8vtG61uqbh8iWpaxrGpal8yKgqCoKjzYqKio8YoUZGmsN1aMghuDVq3kRScchl71Lpt4pFw6f7SHwf7T/uqWVEwRm1JKZ5mPov/EAC0QAQABAwMCBQQDAQEBAQAAAAERACExQVFhcYEQIDCRoUBQscHR8PFg4XCA/9oACAEBAAE/EPCMOhiVDMK6I5puSywV1UV/vUol5Yzt1Z3v/wBBikDyZGgUP75rD/nn5RVsiWALaT3riaZIErEpHhbFAKRu3AjTZx7vigLsU3P8NvKYlL4ktmh+xL3Xt45JOfRUKkqfIAqANWkYW2A1J6UN/KvKDkAuquCm0atAApKE2RksznxYIAurYKjQCq6ziq7FD1RlzKUTBljb15ou7EDFiQKS1aQCYan6mak3qR86fVlubgGK30aGOGvBF3gcNfkwoLXUAHbxt6FJBgZ0JGxlo1AUngwoc2JGgBpUsCEUQJTLIWF3hs2b4mG4cWQbCbwPQFEwoXcsESbBjCulATWUGsiRHx1KRIwTmSi6LJNzZEXxmDplLoBqlAN0psAZLE6lDclyQidPg6JuSJ8Vc9qpFYd3qN7xDcChz8oJEdk9FVZkivW/AEJic+QD4qUALqu1JkPamyv+YRZUAEgiGkASZSLrK+LKZJ5mJ7o7kdKV17vXmTNIYHQMxiYE5fQWPCaGfEAqQrI0BjDo2wO7SCB9ouBcQEIc20LARWO2iplT0BoTF1gGEOwnZetNT218kA2RonspECAlzJkU5+mzKmCqwASgUlhyBKhR9AQUN4Z/ovWbS+SIAT3dGgkZZ2MTLGYvA3JCShnzkEKDBkh3Qd/CfJGzGb9KhrIrsQ+AavT4o/kNaayFDWLz11U1SquqtNFCiywlKPZ7egFvQ1mrJdS1jSdqRRBK+kXWTNqYOc/JQnOITINsllDPgzVQ0oJKcSHtREWHQAIA8FLggwiQ2RBHcoxXO5YnngDt52fgULCtqSZUykB0HL0qC/j3ioqLz/FqBhBqAoEELDrp4LFNlYpY/B2cOFU9ruYDVmVZVcrVu4iBK6CwpMnPiPzV+JhIjm46tX7nnAvmQsXUvcS1D7mVYFAOB6I8T52GpjssEwra80jRZhhDQlh8e+UNQADUggA0BMXifAArimtv3wwJlQkjLcIBaH9ZgGFfWPGDBFXNGksklnwcZF6MR8KKd6PEBwQMTPdvS35ghW6xegiANgj6VBRAUi+yiWZHlsVG1qirTc8juIyCdHTfckwSfD50Hjk3SnS07+DwQCJuke7vlWe4tolAvdl8HFN/maQVy7EM6pRSMHegUV9igfNgXnBRPAUwHSiRIBkrX06HkSaVnvJlEzRtOloWRsy9qY0WU2An58LvdWQLOTAijoKh/wCLOCwHB2eEmnRFlgI0ttgxEuLuPnSm1h6dgKUt0blkPyNWSmkFFzhPgk00PUXsQCUxZaaS7srK4mfNXOkCg2zKreV1ot5AaC7YIhbsFPXyFCOooBJISqFRytpEgGiTfxioqKCPBIU0URmQwrG8LF4phlg5e7ZK0lSwVG2IqQlilBExM0KkZNMpk+/gHqbMgIo0RBOlNIhSAzAY2Ngq9TDrdbFmxYOoKmPoYjvxbglihSxCJEiJkTxVgOTKFFRqnsqKAFlHThKLYEDUSRptNiJzKrYKAgLPiLBGWOpJegiclBCmIgyrAUDM2EkfI04gr0iI8SHfwvzBlfIQdWgGMBB4NqlRJEtETYfcbrWh9Zj9JhG41GvZswhLMIybW01KvLGWCJXVcru+DTpMhMyuCP8AVvIg/owIlS4AM1PCqDgqMC1kSprMxJVrzVldqz8mXAkeRPALhfzaexMTWC5Ek1LUoCV7zBTmLAz6qtiiL/u3ZvCnRwSSAxD/AKMB7HjJKDOFsRrkTa8ov5CdKamSSKiAJknZtF1lmcr5XFCsIoC6q4APikyB9T0aCbIJQz0oFFgB13YSB1qHCdjT7MB81D9zKtIEAnlpHwnlxCW8r53LSB4uq6nyxsMDuaIMIAEAbehEUk1crIcpfurSaTufMqwBQdEqRsDU7B8WHRuJhG5U01ISdQCdiF1lt4oJDHMXS+CjxqjBIyZG44TwmrsWw7hLH4NWrIU56XdfDp4LHkXv6vQCGZUoW3PKtMExuzP2knejpFoQAB+PFJrkAmhgbKpCIxcgLMOUpAy3xMxrV4J4q4K/YHmiR+mK9wpXbtWElTqAqKNwCRyBFiAcX3ppt7JhW2kfkIhRVIe8ilzpl1XyNPejxZPYfB4FghC9bKIsVBHvQ/VfmpCBSChkwbq7VnMrkdJKw3p1hiSRCI2RpwUQsrshOk1ef+lOiWmWACWfFuNObJhF1CwsA5Mxr4lqOGRkThFKi/6XXSJQzOpyJWiMUuURB/KraqPJ8k2BB1uEoAoIPCKUAZo1dQiS6oE0oNoCK733zWLhKCd3VeW/igL2qTBZG8FJ9cztU8seVqzOZWgNESZZkySQuciJrF+XVdVqClqBlWfcoqYYcncKAY8WtgIHJcH9UqPSUspIFXAW0tCCuYtKuCQjqmkq/jmyghE1EqeOXzxy4XRE6WQUo3m1y8oVPiurjY8xDkmCy2uqY8CKh5Ocj5+1HGSVggz+VJNTkEIJIt0kXJHm7RV3pZlZSZGVp4oxV40NAAhsToRYkCGJm4vUrsBQWYZJNvB8GKiiITZSCwjmk3/WZJHsFu3W/i0Ex1UZAF5EZ1UeSDDpErZTyoHMUQgCm2CNnNx1Ep3qegpLoDhpCzob0WKbsSRVlOCCk1SofbxgoAOlCM8BN4mx3JNKuHtZkJTcyPXJ4nOxM4CHx4DnUZjySRbSQ96uzL6jiDUZQhLD0ijqmAIA2Dzx5oqPRSQerCEz3ijkrax6Tsh0D1IPQcVY8ayAGxgglLznpUR6STQR4xUeK6LYvfReIHVKw8Y8YHxgqPE2UAXV0pgF+V5HJwnw8qGpniy9TMxslmWG7MDK4W3xnWXx/ilmQrEJ03YNpgIACoKSXYnkBBIuwb+DwrGIGgQADAUMiOfhBaGK+Fke/jAApt0oK7GNSsxQz86fiim0r6PDSS6NezUgl7FbFiCk7DSknf1GUSjogCgXUCjBJG4mvotqkaSobDGKiR8rMEE9A+zuGgnU7bCHkmMthvUeqRvaZZADUFe1NqSOgbBvIhfb1bOyWSESMwwxxSkb+BV1LEnEq7rSjLHve493sqzgwiEpkMHXwZ3ZYwE/r4RRUGTMCabYoPonkEBZKWV34UelKiMelaF0CnWSezFF5Qzz9xSRKniMSDKKXQAwAB9fFCqgFXYoAU9809LXZ8jTNhMjWE3du1FvGfPcpQfY/dZciehfwPobhqWR0UEQFbElmPpVgpYGFAiQSWWxbDJmhk+0zkEFGUQDmYKQnCRjJ/YDHlmW+18L5Q6wvByXWtCzGVhtF6Y2Ws8wxHWI3SgSAEVIlKxiN4RJmC6jRUPyFgIUHWJz5k3BmG5UPF2bAiQMrLAF2oaEFMsAks76axSkXqak+xgoGkXkFSA7rHel0s4RcVvZCn2cBrORn3QU9CrfIDKmW9+sBDsmk5XPMUHcXejgBAwI7Pbyycn7AGDmnkty9iNkPuKCalOYFzokI0l9WpUjfwFDS40JgepC3kIBXHPNWBzm60+N9Ewmt/8AVRySimQbUJjZLMnYbiA8MMTGGipt0lgssljWtigq+IgH4buUshSrBSAGqWDB6xhkakAZ2o0B+ACwAUi95MSTx4wUSPs1JUN/oGn7U/XUFvAr2oip5iwCA+ulAAjQZVBAsxOYdvQWhx+UbUDIMSRw4pWDv05MGPYoYHiIOvVue9THuukZIJJ0oJq6XUCUEeM1mlSJeZekEmUKuNJ0RIco5iaLR1akUUXCYmNKiAghZET1T0ihTFIWQjFLBArRlLDB7o187Oc+GSnmM0UJA6jLmeviiycoCYiCXiMa0EaGgjV3XK6qtMWVRkAjHvSgMgrXbGNFYKAVTAajqo3yjplgJStAawpsorrRxgHfj0WnxcBnCI6EWdhWlJIxyEiSfLNvSFWJSWwVdm5rqskTYgzQMmjNNh7tjdM0jholXALgAIO/ruKj7MPBGq2LTVQuQ33FBO6hIOP0AksmOSTc8FiipPCyVQqQ4cTER9UQ8JnBaeXpoN1ruPyl/ammljgEEFibEoWzVnSzbvB8qSrQqugsvw0koCiZqzLciM0IBGABEu8eSIaigjwtXSnwdlIMYyhSnc9A6EOfuoE2lVirmsVZSpTQg3KgUKlaUApfimrNEXbN6JI6+i2Kf1QwppwQhg4uvQCDhSQQm0iWNYodJUwgjUy2Uk0g8xQCK8IVs0hGaEwQ/CGANgjyXGS0cWwwctihn0p0TI6BWXeeOENQXC1yyliuoCEJ3S5VaHqZul49H2G3gnwwOcvxR8OYsoMm5MAwLVPDWXhMCKQl/RBQcng3VsU+VkDA8qfEP2gpcmDiUm7Da1F6OBe1EpsUUUIJS3TIVPnWCpmnJMKKPJL0zDIJ7In2KilGYe1cD2oLAFBHpBVy9hgLsenaRu8sq3ZJKCYNnBS7xPpBFJNBHhAf0OkgrAKk9r0mY1aXlUjVVe/kBhtX4H1KII9IEEkSEaIjIZzMrAErTiiz4np7bQiyFMmalM9itImYO0xgxTkyhs8wLjWgo9M60u40NejAUgAWCjxNrAEqtRNnEoyp3CE8jOXg3XIKiJfEfipqmvTxBKXiZAgkGKCKWEzNQ0MFxhzU5QUJDCREoR71OozmGGduRCb3uoBSSBCEMc10iU5wTAAbLWEQAA9pVgSG5Bvx4RQajJTBKsXQoCUIkia+QE0hOL36VM0RLElCpaJmkvzQZgZ2K8ZpxB7gs+h/S7/Us1GhY0RxYIYDDJIUEG/rN/Iw2iivSBuARJsB229aKCPBJIrJicVCaQlneLXtHiw6hrgSCOQQ5Si0SUaPzintHqR4XSDbqlRaAnPWiwgBGgEHkwfvZywnezvVmIgR14LohSJv0BZXF077/wAUtGbZfzSlrWEYUsxh2c0sVNDPlTgr0LGd0X21C2p0QJAUCgxmKjqFpGZ3WxwB9FHkVPVGJBLqfdUR6rhOKOLxVve/Ou22KPIgg6QCGShYF7VeWSGEAnx4CdTegAlWnKSjIEnqGy5dOINUMysvgevFSZWUlAsvAk2aXzTirbMO6a8hyLx5RcoAF7J9AftpFR9MBgmGTlxciM+/rP3CZIUZOC7KhAWLlk6wsHAeVB8cM5Fd0nJNOYEb64BMtoy+GNOjIhEXyvamYlIUVJAst78GaUB6ytJOwupE6eQUDjXly+H/AISG3rJNBHpA2NCEibVA4kE+wFgqCgii4Q4AxkdJYJpUI3VyQPgFnRqUdfl9mkyvO3mNk6k/9Cg1Bt4Qbf8AZpbEfFupcFIYFzMA2hqcOlSb/wDQpQEgxvV/GlNQCBIZgspCiKniZBd6wpZOgCm/wGhDvK9TV+WNCbkNh1odELPj2UA96DJpoL7pPaguGampqf8AmkkqVI8QRgAyjLsTkUbkIN5ZWySJoj4Mq4YP74NIubBuO8M+FMUf4cISThaRXCyD1B81BJ0a6Nqg9quYrlM9ihsA2j5vKClwfMo7AI7tEk+UX3TU2/5dkrD5QQialNoshRXP7BzvVHnjwBJy5v5KcLWDA0kY4AcUTGDsW8i7oDejjZBrFEBkdaQijNuPegpcw0exTgeBHxU2/wCSSagTupK9Cchg7WdKZq+dDYRNCD3BpQz6LfwFRoosnRClB1Ru/nKduTq/4qhLNddMVTPHLgiu2IdBV2a/dzoz4qAlWj3e4sqHusQfg+aMMh0L/Cihl9z8JVrHKmuklFSQ3U+E1P8AxKTTTNR2SANi0u4aNEZ2dIaR+gikmlFTcv5QqVnHL+Wo6qL/ANoA0OV9STs/FWJE0Qe6fmmDd4KTrJPil0AG1x6/z1PTRvbp+hSG3mQx6EqofKkN9Vj8ZpSaWmw9SPmj49IcfZoMlaqSpoZ/4Mx+wSNCGyNZDMVfl0En3NCk8zi1DvCaFYRKUKGdfMLZrLiMt1oFEsejBUFCgkjo00qWufFPzV84VgHgkFOdId+aQUuYCptchQa6M2veJ7NAQthBG6AHu1YWhNf2IfkoKSIjhKL/AH9JqF8FcgxWaBy4eCnCjEukPgJ6g08zinCPn5KXn3PsuyjfPEBJS0eq+F2RRnyw01AZA9u6PC0Ajg0BYN51TW+E9eKgpKIkm1CN+H8R17zQLRbTNAthpappZXdBGfFLZLbJeHRTy6iiW2wjMQKS6UJFCOE1++t6ITUhYuMakZ3JqksDlFSQJkTzC1YxECx4eqJjfGyQaXDbfLxqOonlinHRbIY4NUa7X0UU8pNVoNAyJueeEX7JdwwTezdiOBRpASBkT0oqCoKnF1RgYj3V/wCZq7EXEnYNH22bEQoJmodQyGown30O1VSAh/mgZ34kltxCHgBq87ahCqy7ceiLK6N8NCxL1IdHZMJonlByKBIjkaz8E106tl+I3SIEFEia+a+6ihuNkkJ0pqAJsueZRHblUYPVThwcg5EclHfrCiypmNgtGiZNyrELm+I9L7hSn6tQKuKEAlx+wOQKDsy1/wAAnRQAtXWHRNEZE0R84l8hlRCJqJTJp7Mqbo4GQ9mjmWnlmRxgJHfmDDWUcWx5jmBOzqnzqs1oSvuJJgd01VNGk5Z5DMajt6CvJMIoCWAzig4AYqK1V1R5HFABkCR95JEDo9kb06yQ2PQgYMudyLgj5EvYRLJ9FPoLcrhi/DUAwIQLVW+tt9MOKGDAkoEgBTNBbwkRDUqa5oFjRLR1q6QBTETe8Dz7KjiBqMlSeQiwjJAQj1FpaUxrTG7SjrDxG3nnqTiW/uB9yTWobehdgynII5TkoNvI3GgtWyXjlJwmDWU1pRQMhsC/+R1EanypNEn+a4oBvLPXrpsOwSNIj084m1HFtuhnhYF23KajfwKpIfZBtR5YT2mi/SaJcpn5kBlu+uvbg3H6HNmszg1Ghn6BwZwxkGIcEmEZkVDpSV63d3wh5/7ffX9Nt+mLy8XTd44Wm80vJpoQfCNCSBgTBSssXzttXS1+uiSKu+m4L2g+K+F3h5YKcNOhVsNkvgUQGWSdA/1U6pW4VxIWgLEwOz9BLtWDogm7lqnIGGwFXsHLhnQqFq84bFm0HuDTztP5xXILo1HSbTbC0PdAYWyQ3hhT2yPlEiUcTIPK2xGBVe41gEDKUqJEdRHzC2mCQ0JWMTZDsrd5m280AcecyiSNkdaSwwAl2CaL8SbhyGPyBJEdfMgAlkcJSp03XWgYF2C5pJKeAOco34jh0+gCJjgmLDjRNRaag3JwycZBeLXLcCBRgt2Af4O1Az/MJcci4QaGfJ/b76cf1rak3oR+kJaJhmjPEA8LR79piBYlLBaRjA02OuMwh9xCxuJZtJ5GVOAA2gSVaVglv2/lTQVcbz0k0nFNALrrs4WJ709UOq0ixsBLwOiJQkBHgLRLJ50msNnCUYibmrvDho8PoZEJ9+NPI4rWhTGvwmR0amEUyzKydy8G4mKDPmTWnsLcZLyiH3yFaV9AQsbg2mLSjhKnzkibTk2R0RhHRKHETs91E9l4NITQks8zKjAR2wC6Bsva63L0YclkLQsdzR1IfRkpBS4/ydPcVqowSfYtJmBqsfc1NvHf9tK/21LP+eC3ESSkJODCDSM7XwaxMXjVIZvDmSBaSyLZOxeAioVinMX8n9vvpNvKNvSxB10YINFZ9IybAWhyUNO7b+O4BqMamSPo0moGCKbACUA198bxNro2WnhQHIezZvKGOiNxqfQEsZASJtTQRR5FADRLj/wKgkYtcRM+c2WHSohE2SmlxgoLs4lQ6o6oLPI1liWMkJaEAdmHStPg5yBA2g9ESpnytKIhCsWIZBPKSZCJf92sg94PvZ19AsSRCAuELkBOzDpSyY95BYJtDszpE+ZJoYY73sIMCLLss4of5x0iEnfc0fMsUFf+yrLnCzxU/kI6LYLdHvaLudzDvC1h1FG8zqT3BR6lCgHD9wC1wXQfwV8KQK/wlPhPAqyq2qQBbFS8hIW0TlKHwhYJ+o6YNAoIfJEmHnQZewtBrFAtdDiYDQA8IbL4lN/pFqGE5AMNgJdINEgHqS0ciaIyJoieiioXD0SmhDchV1YH9jrQg88T5IhY4fwmotTDulLjZnCJeR8pJpFoiyFoYbiJeFo0Dc09kw7JhNEo8rIRuUUEfKXBNFd6SUH+ElIHCPnZNRn0W4wJDKNdgaH+NWbrUNEZE3PPPFYk5ChyJR57QkddHAqHcdaDY8tx0BJyKQgxQCMADBMQfmajzNKIAYwEw26E5ItErQCzhTMAHmGrTQEQkFiWoh42yOHx4MqsQkuSxCQUTo58Bk1IUkGK6Bnlgm9GoZgZQQQDEFtvpFpXIKCETUSr3PL37BL7BxqqM+ixuEWxzdEfckbNF+gPJFvFkh1YTKoZ82VQHxD4sQyhPZdYrAXaLb3A+5Dr5XWRBlRCJslSZYeyW4vNusqHmBYwnJsmgYR0Sgaq2/QN2aGkJyGfOX9IKQORKbK3I/KdFY6S0VQhLjt53dFI+CU3rZ4WsSTwJVJwLuz6VHjF5rJUe2zkJlwGJJJlm9v63f8ASy4he5NYuEJdZyFLxhmg0HaC8Mm1DPgowKrAYmAbTU2luR7oFIAwxLu11H3XRD4ol4pfYJYJcZLyQk7lwq40U+GMmJF0M5LNhnzCUSR0qPaE6XYBorvSTQUCzTsoJEdTyJNWBeJi6XaDh6zkKX/gAvAhtB7jxQz5W9Kb6Kg9y5eUA9nIVYlM0QWA21RaeEofPL0miWnuB97mtWNSOsOU5QjlOSgy+ZJoiow5QEdAnc0zTHYckaUdn6n++2aVqb/t/SuKG1hqLUgZA6wDsYd6keALRJHp4MshUaXIKWKmFrsf+Kr6Z1+KAqSfer6KpIy0H6hDSCDMSnqifNLbAP6hRLfKhJYBW0UJU2rQFyt6w3huJ470qBWC1VpDEiWSjzLvDtjqOiNx0Srpha0252aGiJyGfIk0nKgGVAhuWJ3NE0qsY5DSNHlwpquELDgGUO8cigqX/bTA0R/nD53FO+x1Aum43idbYVTOXhNCG8OTjkfOcDzpGRHs03dKrOVWwzBvO4qZ+oB0SNkaHk6+BZMLvsbH0wBAQrCUs+6nERs/61lIMjr5YqKiopJKg9CFuZd6bhO6NmyU2QaVZRdbh0w0eVpYbmmCXLl5QD2chUl6Y9KxuDaY1RwnlP7kEjIj2aXhy+yqybl+5uKLnliaBQkjo0E/TpGbDoS/nVBmklSskR2jzpajRwFYlgDeX36oRdUEjSJ57qbYi+XF5QD2chRPyi7KA3hssbyWT7hrmOUHuvQNz+KSNp7/AC0hbo5BJ6KWqFE7aFGiIIJzh0TEBYp8g3hZh/YlHlcNL4EidhwdWJDeY2QaZEjYZDMajqd/JFM8nggwLLaB3FRRzZZgFy4OT2yNGPMc9QpUQjQxumSI3Xq+6OLLjzkIuCRoRrA/gBFVu8z3nYpT57fUOuMxDIJg1EF4i2YZ6294PuI6/ZxdHUMAGWoOef8AmkNHXEkCx2anzAb2xywIXIAdrOSpcWAAW+Ah0EGnpldqLuAyI2E2vaSVRaJngi4Oib4SE8yWpaZFmkXLRMro3w0MMpC5ujQNk0TyCaB/8lksAbz89dMF0iRpEennGMWwW3/iTUUpe8s+CJGrCS6iOrBjzNXIDFF2Ll5QD2chWoscgWCbQvGvCedJEqSmGC9wBhXfZpQU5H5AkiO32YdAJShJMWN80BS2fASBIRL0oyGIYd6mYHoo2sQnDQljJ1yfIqvJWwI+ZF8UXIjJ97H5KULuG4m9qDCEagUmLe496an8uKGiwW1F4NQRxa6wOUaIyJuPpJNTneRm8nQs2C83LyUaayVjVn+HD7x5WJsHkDkTUo3ZSsR278EdmSIEeQv1QyEhKQdmEKqt3L23Hegm/maP94zMpOCwaymtKwPdNkXfyOojR5nFT+NMe+DKPgHIoSRAF2AtEkfPK3wtT2SQjuFTxlWG6QXIDBsJymfstui3jCI7WUsxSBZFyuoyM6nmEkUE6RwLMxEAqbOpiPB6RxZUQibJS5uZStzN2381Q28iZoGALqrg8LRQSulJEG3Rz4oXdcCSob1d0qOIlo5TjtvYliS5dLjoIIIOieyQlvUQX+hkwbCAO1nSlsjsyhIG0HoyaVJ5hNIwPdZFh0uz1U4KqiCRpEej52ZkIRJEos2Obz9OF+KqTzNN04VMhPaBxJRTI2LFnLkDhw8fZSf4DgkT2aApMSGU3AIaHog7wkRdfCalOimOkKBWqGTrI6oFzxPT5EjQo2R8JoskcJfihjEjr/Fa2NzhPeXzUOx8H6FwPakHIcf68+9W1jE6sDADXRaHh4NksFpcryxix8cnSNInqIbwRAiSGQPYHNwQQ2XRrQNnziA2CRoRpsEU/fhNWZdr9qMed0WCwpASyNxoIPOklOzDh3d4tJuv8VFQY/IJIjqfZEqUEBtQvCk+UFCnAlIG4j6KTRDBnFjKHWbxO6ayNAENwKyI3kjD2yJ6KS0yqWMU4KFG0NCQbcVvWc3nJkUPS8GxqJ6aIBCEcNCBcHQywaL8SaUB1MQkSI6ifTtLajpmyaBhHRKdkSrlZhOUJbQY1UM/ZCOpmLvR5UJyVF1+u1UMb4Idjd6STQJxQt3JA0MvBqSn1IMgmE0RkTcfTdrEw1kVZqf7s0uE8yz94hvClztOCwj6baZlSJ++aXNVe0264GWOFNBBL6dJoi6BBcZWjNpY2SZpWYKmjhxNQTt9lQWkVFmIaoCXYHTW7k1ichoGRNEfKw5ZoGlWm8oZKCjIglx8g6hnlRCJsjV0BoD2+uJUOstT6gxCFFSFDkSipKzptdtH+IciqAJCPpt7EwVth/Cai1cBIRRLJrAl3u5EBn6cgwlBIjo1LtfK4JOSg6b2Bn7Ii4RsoIRNkpk9DZL5bR27Q6UECIjqeKwU4SQLIIg747vKjp0BA0AHTyn8HbYpjS8Sw7i1NqPLokL3ETGZHW2fTIsxbI4ztE/ZhatWehN+NcgROorKx6YAciKsiEg7fU6EpCQxu2iai0CCOSxC6yRLrZwKPsiIzpiRHeD7kmtEgzIEGBroLnUhzMU2KW/AnKVpG0jqobwBNJpyZJykkN7utBHmmxGAlKNCMB1kwqLRNPBMhmFmH9ieUyYJViWhNFgZgnfrWacsU8PVBIhdDWpdgcpXoFC8lSIAJsYJuxTaiFjcYcSy6QsKg9IqRkLwYSRNEfsmasSDcpLi1BMbnJCXAy/No6Rw6iOv2Vg8n4iu6aNwm10bLSu1jIOyleaMPUbjU6gEoJtUOPz05IHC3OuyVEedBpJ/jrOwFs1dG+GhKsrWT8OiaNvJE1AeSApDpSFSgyghE2SrrUyClys7x1etf0v8UxAmntoFpsKMQk9wPmrci4ST5n8UAN2Ut7v1Ciiiiiiiiiis7N5ZR0KAphhaDfB+aeOqwdeagRYII2diNC0UkWDqLQz6zKmakspTEAZGC5Q/NkIeAw0uBFuFWHQV/OqCeOjkKQdkfsiEYpt7BkMZhkh1YHIkagM4Ytjoj72SzRsADQI8zlGRQsq1fPqEkiC8rR66ngRw5yRCI5EqO8SFS25r740NJmoAFJETJHpptcL1yCFDiv7D+qHEWJUe9CgSILWdisCdBUerFZKIJXZKTChD7GIzzV5UyGw/21ohW1NAdb8KZTQkq7BPvV8D3XkdL86a3XDTswtWQEaCzesi2id69gQHwVFmxPnwPmjBIXcP3TIcv8YEqMJ1xJH28seblDqdZFnkvS3Ykb9mZO9m1NnikMRVl3GdFqyz7jdyw5sOsl4FMemG3MQQUGtE2n6CYo1ixFILsA4oVoCCMDAks833KBNdwPdoaMr/AGAockbn7UXhVwNfFDC67r90LIDcamgIIIkXpnd8CFbJYSr3GtCq2elRIjqI+VCQm4B/cUKUNapO3+GC9gQOjBCAAweM2bZAkIlJFrEqsrrCX5OBgBkSR9aak3qTc9GYoSR+Aqa7av3QOwlUibj50HINLsgWA2RHNDS8IOWvf2WdGr73TLcZkJhG5UlIz/UKt62q/wAdJq8ZlqBeXNB/aIUWYvBPnrSQYUjHEyYdKvfm7g3CHw6SFJAxwLpzCog1mZcFQAShjUoYhoQkTkqIAGVGOQJkB5oseafKr2EdgV9xD6AAwoUSJs1fbS2zlFpWA4qcPOVBogqblD7iVJxrq792VMQ26n/KpxcmjvytXfR0NvevsYhpjbeBRdaiHFD5yd71BLsvExhraF4NwFqCPi4KEMKDAwUyCJ2WtAfvFBEABgjyNEtwhzToN+2GlKFd56YCCVtYbQiJjSJInlSxbGqsm4m23ighcNAPdhI9mhstmVz4PAYuw+AB7j80p1Hfve9iosvWiekh+Ky2cklp/kKKCCwP7A0TWo/YSsvai4htBn1pA1OfHECQ0Bub6qHls/nh/FRr3rGHsqks7jr+wrLFq31EJjrUDBKq9/RXFYwhkRyVMYarN8tGNC5gEsC6MbSE1CbQt0becipQOE5Gm/tR6RRA1D2PQcVorbpOM0IsGU5Io9uY1LoQYZNYkwg1I+Ny+Slcid3407olKYRJ9dqHa0NhpJyDh4d4qz74oJRuhtKas4RZ9CU/H8O6kvJCQ4S4NPolIBBBuZImLXHFBnwnL0LuBxwMDujo1FPDIvnfexwFFvKsUbW8fAzg0SpPJIGUsm2HwXMqHmMKJE3PsjLNSrnl6aKzOLHZktUQvosI5riXgmzJJepH1Jqak3pvSJDr8Y0snM8mYCoirVXrQuMXCphQpEWZ8IgNnkDXr3tRU9ymJPkpd2uXKF9hoZ8J9NKiJscsMDWExuMZkTSyA2+Fts6nc9BoBV3kHfnG4La6NloQjKULQi3W9YbS2WZpPiDpSqpOCwnMNBB5jeqjdCG1yXTlQS6/Kt2bNI5+VcMwgQ5S0S41DLdLT7lyJAnFi5DQpIyP2VOicWlxy632yaiLAMOJ0GS6HUtISPoTSCms2mC3SRe1T6Xkt1j7UG8AhR7MzPIlAS/KBXgFB2puN+r/AMU+u6SN5yHenNKULFswoZIEIbFSmRMmU3sgy0mOKGKNKCG3kqeiTN12YvAXY0N0osAzMVwCwLMIdc0FK4ti6USSaQ7NPgpOjLY6l9YnWpBrd2x5JJfDE0D/ABGwrBegwkemk1H5IwJ7joMro3w015CeNQ0DZHDQz50mtLryqX0GSwvRthSFwwOpA3mjGzJpfytIZyFdll+XQvVoywfdGIvUy3bCPCPm5txZOg+bjZqTfRRHYE3B3iS6qMfZXIHj1uIXW6aZKmpILMLvCoTBnIZAl5AZIC60+tURAnBKlrlrw4ULuaeEDUbpg9mjXpzS3skNL1Igm5O7xMPQKCL0DA2Ao8G1MljJOxazSXBrUw/tQnQqpo3eFkTWx52ACwUUeWN6JFQ6pSLnT0KIjaHNBFOKMnBPAEt0LTSSeBZ0CGJLj1DwIgSI5EotQJ5Rk8fjEDADUxp/2dxMiNkbj6CTSfp1kF1KJBvAZEBhLNt8L5HU7nlbSkMDSr2KLn0l0rhqyezh5A0k6Yok+/GTV450Ih0jKku7KkTcfs2KZggmREhZBMuSGGoo4uLCxo4ZWL5BiSBBRIlx8QaAIjhKdkRmcD2aLHWh+8CajzqiSGAQChOV1wclQ7il95GCZnB4iSKf4Fnkm1LMSLu+IBkhIEITBcLhLBt4NMAQwDICXIONM1ZS13AzzHIGJ9RqSDCFkRyVIqF8q52x8YbQ0mO6W61DQbI48hqgBKrAFH06RkThKGfBJqHkSqjM2DdY1vyKoKFtoToP4Sz4uKQK9F3ynrJ5Ga0ZjBaBB5WQsPlBCJqUEKRJuJzh21wHMhAlx2+smKmpr55GK/w1f4apPsjNTU00J8rhxMwNyh5ciKb2AfBcktQ3PiiRIiZPp8VVgh7jVwFgAesBWPULQVAkRyJV/E0vwEhNi5s2BLxhmOzIf+lnxutaxIyEl7i0SXsq4SfyvwrBwwL8aOqlASsCAbiWaGaAIkjSMxUEyQMC7AWvAilECAHFpfQD5ySeMGwUqwswJg6xNEPNMfaJLeR1SXCNakmVvlfyQlJtU1PqTU1JUOlcxWCLRZ1lrKH4bFA1FGaxv9A7DU0Ri0j7kfmi36ACMr8UM1tR8KC7eDSHGeEd1/SrMutZh1Ae9Z72r3EQPtRE7iF/BrokEBUss4k6lJYPKO2FRnyvDFlWXgD+zu7NMdMrGei3uoEYNnc24DTgjw3SsAO7SFghLB2hF2WoH7oEsINTIjJkq6WeiZvhF0DlHVAz9lAQkm1FnO2nZXUWDXqKC1uE41mymYwesh4QrNC+TLdZXJDTmeQR6itnrD8Kfqg6xV6CFxMTpNGAQkRkSkC9xqf+C5ZyJjNg1uXUo3NshGvP8OE9ESUCeX962QdiSwBUi2mP5tQkANhfiueHAw6mltyNw/iqntwM/FLJVq27T+Zq1atWs+P7tTkvFxo+alXy/wBtfxWQ5tfU5HmXZ0/AUon+jOdHXLbiaxeswXqNOstPVAo4oaz/AHUtQENGw/mm5/uLNDwDMH46h0ANgg8UnyRTRZEHGtnBolREUi0ME0C2pbSBWPW43dCPw6LUTSEhJKAByQRnMGB2aai25F5aKcKog/jXRIJdkFJM3VJNtgiWwLjDe+p9mQdK79dYTjS3bNphgLWK7hGZ/wCQk0hRnxgphBTHh9zudGkt+Uzt9WNj3U/kIDFZAbQ4vuFAJQp569Rs5LfC7MAG2KcJmWGTiS0lyfRYCn3ECCVurCfrIZbM1V4IgGBYlljn0tacy+kPVbUTwhwEbDq2kc7QZjwjyrFB6vcNBObLYtyZKMejISS3ioEvembU5HUBWjUh1MKWCYFYMGCLtMLazQ0PCJqCgGPs8Uz+HhViH+QnZRGIHRJrYVCYM3TCCkHyQUKdAlzjFmBtLiKl/tvPpDdnoxUMCF3flzrjmgG6SqJiP+QnUkYuGbaBjp9ujYRAQkRkT0CpFh0sy+kLk4zewsUIyrbqreCsH5VfSkLOVeEWpgCpmcNulbVTnnoJFAAEAGPQsElORtPkHVg1q6FI5HeDyd2XaPQOmo9ADKtTD5dKaOpC++oox4B8ux2haR+HDTHDouArCumwTeYJRVXX+hWVNHgSBCosI2TT6pagRsBuXIWQSTyQg0XTgVjjsLDGt7CJQz5QCII70mGezDwhRMTdJ8BZO2hByQ3KWXpMr+qG0lsGjw8O9w3OuHRfNYUPsl2g5DqwboM2iYkV5Nj7t9gj0T2SGRWFqmwVd1e6DQNZ5z8gJAgBAHoHCdjQJae2g3bKAHVvD1eAW9FOHEbm1ldw3OQ1sDw3Xbk6qyru+RFeErbJ/JqWrK04JqozE6sOo0p+gEzTnq6VyRbwQdn6sG1cPmissgnhogkcSg6MJCth3uZGfQCCVKirZE1AszqhfUpL+5tRGACzfbe6KCZ4GA4RM+OihAgJ99ijAL5kSgGjcT1UMek6Q2FVJUNpGjEAEAEB6Dil3Wi0zNuyMb7DRR/ggaAOgehMVAvEgYMtiC5O0thrX6rrrpLeCsd3LRjyNMUPxi3ES8kJOiXBqy7sBAxo2RlG449E4pmCzNuwQOGHArEFJ5uDldZYHS+4VPlkIm8wZh39go+qaUNMs2kbaYk19mpYLh7DM5id+JFIjzyUs0dhL3y3C6NxGkqzZ1Lq8nsutJtHCYUZdje3OSFkpstNkYBcHIUPwT4GgA4DyTU1JUlf71CsAXhqG9T6KS0grj5pWC4CqGktGPQCmoN8RuoYY4pO0qRUMX0oWveXXQDHnVBKZwNzGUMDWUyiE/NKZKWHyOojU1DepqSi5G3ArOxBG+9GyaZ/aGk2Pn/xUso1EUhCDDSjbr8RQjjJY4jEUgMLr0u7G69yjHRMxDqGQ1GE8llo/wAkUO6XehAwBKkqSpn6meTFPAMIXiQkm/CCI/NWYEWXWJLGYbSQGTyuKFZho+Q1SMt5MWltUNOxU44dxuVM0klaQjBTEV/lJYyjEHqYhaMWF1uN9FKBz715/S0S/FUGXomQPMD8UBLuFl7LrD9o/GI/NAwu2ApygtGFw3eMLWpUZUNOgnQWMvcpDwJCjUZ3hUV9MmkpKDiwORtYUbVxGHITvNQkvS9DcIe1OaxzNnpE0RRuFPpee9Jy+YXE9hGfiokg5I/3q6Jz/ZZFHCO4qBCkSJL7NSVJQzU0aUpUgDlpW9QCRoTa8JLQGROPFRozgOyKfDU/MwBKkahUnlSSsc1ZzwCcs9Vm0hYwSqt3NdExejVKuI3UHe7Qq2OfjqS9kcoY5KMDOsI+xSUD6mPZh8VG/wB/8GgwBBpUhU6IodJFM+SDGSAgXAXwFQYMzOLTEyYhvw08I14JAViCwAysIKMeKKgW4gH4WhXHBNZE/NQrcSKgy4LakgYUaS3Egw2nCvd6tEZCwV/CakyY0l0XwkqfpkmmDKkEO4heaE7ZLlPKCl/ELJChvJZoZPI0+RBZLIjkpQT31vu/qyKWR3A4qZg9w1ShTQLvYRLJWaEEDIV9kpVVdbq0OUFq9yhcAwAAqLVFR6CTUFRTNoIQSNJgVzd/elyCc/pilCJ4bsRTnOMT+dIXhyLgBfNYYZiZzzN1LcpDhygZ2qdpdWyMMC0Xgzig1nXCqEMFWSHBaYRh2RF3dZutKdUgD3UNPcDyYJYVBBIm/hepAGGjNWGiitvdUHczACOwPzQvqNe6JR0ppfyfnRdobsocH81B2ZbL8wH4ovH5AD0z+6nQc0PNWwfNRCthDOUEe9K6MhpEM7LO0VJNM4M3RhLruOiopBk387cpQVdx4WSUZZtCBergDq2aSAjM2Q6FBHkN6Y6d4tEZT0AANZQodCXMSZdQuYd1mJmDAVFADaimsr9A+xR6zt1QkdFp1L6lIzcxOjWAteKkcgEds/sJoZ+mSalauWkuDGX8TqKN0/JMnZBqtYwuoi+Ynxwc3Z15pMyEidRM3ci8KkELJXFMw7oatReZDNuJZoZ9BQmg6egBUYSS1kihn0FihnyxSTUTUFJDyAxiXG5mg8c2ShzBoc0WIjChiWVzkw2YaPCKjwi9BtwsrPuGjC1kWqYmNnUrFvWELJcf+DZaHUuiNYLs0PQV2o8lkRslB4skCSoN18qRoqyCL6XSkgMAXZkFLxLDEA08HFQU1NDGBcTIRw3rJSYcOKXUBR1YYpJ0xaLbXbsxI3lC5FMPp0mlAHlsZGlIkJ3hs2mAokR7KDdaMPZh86TQbcgTrXw8lLdGV+ETL1IvJTv0k7dwTHZBqlBG6BC4S1TPmNFcSEoR03VW6zZ7z7CkKUUKEySj233CihfytQ2RUImGjfGLwMXyCaAJRq9F1w6UM+ZYJol5UmoE2s4ZccJLC5w2xkx1gGyQ3lCj1Mj9PHNR42F4eIidLuSggrCm0Dh0gRZZadY0fUJNFlbKg0CGQOqA5FAehGWBY6D5ISz6CTReTgjsmpIgLr2hl2XIaRSdemrtwT7EGsUTDIMLcS3mSaGQKXQ2LMB0e0VDW6kTf6sc96iRIlfflzrjZ8xCRQrwsUa7AgXeEdSbh3QwF99AeVKHM8HAcImaGfIh/fwQihhvmhrSg3DnQc25wqAI0yN07rrRLyJJWucfQLgGgOrAl5KBWgmbXB0R11ITP1aQsS06kqQCggTJfNXhW8gcjq87y2gI+pQL3oPX21c74Qkq7MuFgvWsxuDQMiOE9GKLGEFds1K0IVu15epHhKZEGcp3BKdmGsVjq4qdzFDL5ImkiJI00Z94W84OSQ81i3LqK/mDqomaE9VNZ6knND5EmiqDr1b5FyI0g9mYomUs39uaKL9sWMzYj7PFDJ5GQCEI4anS5bl5TATwRuqvbkNy0JlwS8Kx7dTpWw8N6GfFBzSrjQsm4gLrBZuWQjTiWhMPRLJ9MOFEvkAZSAs8uJ8c1B9YT8UOQORKy5GmluWn+G0NAYkWsmomiYRuJ6UFEtWDhcjaooArDThY5tMcVGIiGGXfzRSHSj4Sym2JLI4NTiBUlrwJUGqqSQlv5ImoKimkpiLlmA6PaG9Sj5ck6bLGVuZskGyscA4RMnkgqO8I59kbNN8q6eQZh2BoFLTLvcpiWWwrwrE80hHZjDw0X8HAEIRuNDOaPB0Giux/4IuCWQpEfXFws38MYg6GNIkmRC9gmAgSXWdi+bxRExpAyJ5IruKEFlxA0EiMjcT7C4+RhAhEclIn2qU1HZ8FmwNBE9DFtfnBs+nHpxHnGQlzDybJolyhD/AGrtYZ/I0MHlgpbLhZtkbNavWOnbQOC1F5rCUnsf6KHoyGB6zHcKMVEYWcKFHJT+AsmW7RCp3R1hAk9BDIO9Iwrxvy1hX435aRUZDw0bfqj+BaAZEHFT7d2bOgV5ysmiNAyKSRJhlMWEf0wHRhLhJhEyIiI3ETxm8ckXAkdkd6lE6TKkkuYP2IWARIRM1kMVlrdFysGvVQ3e6SjWhqSMauGQ+jKkjdYrtwBestPCaWR87CouTuX8RpF8h8+ceCHPL9gVgz/Qu+cIkSJEgQh/4pxTg96fhogwIUSJyVKBwVIzBWh1gF3oweEa4YqyGZufIprRnQRZBLxwC+qckPBpE8mqlpCxFyYde8UcfhQD5qQS5wU9Ayrg65tB91RnPqyT7V/rO+RWA631A8CxT22YGx7s+K0GbyZekH5p9BkRC5INQREkU3OV3ekzZRsS0TodBzYK42gpBoeMyr81Gh81MKL4ED2KhaoaO6mClujEsOBB6klQkSY7UYV1L6fYEkqU1UzeiLS3c2lEE18vFLFn+Q5IWfPiksYTBflpxoW+1JaBhOgT7J81edsp+DU3COFjqghQNncD+L+1B4ecETqAaWQm1WPam1SXUBxZ/Nf2zChLfaroTr3WiXzSIAdZPtb8UaW/b/AGV8YooDteQMGDBO45UnvRS5f0LV/g6/wNf4Gv8AA1/ga/wdJjrqx7lSXc9vROjNDMQwdID80knIIF3W72qVP9tT8qozu25yj+CoU5dZbCK6hUKPpkxfOBGjDo3FnMccQFAJ0HogxCz6jirTTssMCQmkXF2ElKiECgDYPIJDcigZGhKwgBKBkWOAVCpUHEpXCbBmGd8FACaC47FEsVKc0YWHV6t1DTmEopvBNAVqkQcgJZiJv9c4oqHJkqMEw94SbOZHjUgZ/vN+fKcOHDjZoXUEo8hSK/FWOtN/b8QPajGrUat2okjmrXyphJMAPYqygOCgj6w0WQEidGlZriDO6iXrUy5yIdEFSQmYVuFSi/0cayECTcTIADCLZYaCPA1IAGwycwtKd6CjtCgXBCGsLLwmlV5BtpJUSAdqMTIlWWLjEw5/59xUx4zCKTJEFNphh0oQBpTx4gpEkyI24rT1u04i4cM0tX1RhubrePhRj/n48jchSr+5kA1ifdJi/wCjQ0EH/wAOaPQEHQQQ6sTRgRG+PcADmI5/6JqZq0CEiiVjRcvvEK4oFiAOSwcjhF5qzta4lEI6z/0RhTMRCJtLG0tM4OS69MTP/wCK5qT/AKLBqEndYguFKyZm84IKSEvAEAQCZL2iTCUuD/oVomI0CYGAAPcN6U8zBUnb25jYLNR3mI4yE8z/ANCklOWoXJwkaUAAzgNqSFcwgxQQf/Rpqb1n/oVFPAJkMkcIwjozDgibM04AdgBmHS0F2bGP+hlokoZmUU82miDQIzMMtIpFN8XozXESmjH/AEKSUkAD2Zlby+sRNG4tDdIg0kMPaIvQg+/LFQqO9c1c1BX15CoVCoc1CoVCof8ADzi5GWKFp4mm0MlXXpSI0AmHIWMoQRNluWLLgoCG5QXrJffDU/z9P8/RsItPP40qk4wo9/4KmSEw1blb6XmOPcwAnvTGHMvchPsxSKfuD4q+KG6jxHhZHzTgh6p80/FGyhHCNSbUiK2jAFhIbx4EJrMDtRSQA5kFC7XZYn4aU0y/w9f8NX/DV/w1f8NX/B1L7TiNILBtAw8zDDDCDRV5l+qfl5/sVElkwYnvRTMTAh3Yr3oId7kahgsyE6BT4q47r+HFFEM60iJzQMSoOKSX+3pxHfQguO0uk4bs/YrWZsSrpm7CpWc3fxlM32Ez5KANuBI+325xRgESkhC63ZdW8mtgGYi0RuIJcqBmc1d6KBcmlzBn9gVOkbzEehHxSC9kBDLkFhme2aMfWQbUtkPav86lS/tUulTuisu3X+Kvnef6rvafsKKq06p/ijAx1P8AFFIZcDf0X5ofOA56Cz9gpb/yIMVF5aZ9mR+9RMdo3O2PxQujQVd2IA9lonHSaTcSz9WSubWAFJtCYxJOfWblS8mhCNgYuz1k4xYjjGkDsj93DQg6JJQemhXsQfKpJZkrOywp1aLoyFBhqwu4XrRUcbK9hWTxM8UAERHb6FYBzGgKOFZAQGsw0PDSSBqJMd5qG9T5A1iBcTcHPp65zTPkaEpUXF2VVbccG/AfeiTTEDgXsQOmOKu248cELeINsGAT60+ExQMqdOLO5WCZXUIeLtXF9ElLToToJMQo+CprQtkTZOItlo8ZoxwYR4PdOypqG9ZaGFU7UM+m0dLoqL8pLiiH3yFO8wRIWA2heLTwn2ySoUIJPUSp8ZJ2FAgakF9yaqTqEMqJEdkfSmkGaWAefgdfhQypYH55m8cg1JjA+R5X2haFlJo3xYezS+SuQx7UE0rUSS/b08CYVCy/EM7LjtXYbkx4suh4MgRbu+yjirBQA7ySNOHhsjDmdEMKvQW0OASl4IviQhhBAEwj6to8rsHkDIHWA1ozQAxGwdA+9nD9pF7kIBuriiUywg3nFORTAZ/UEYQeizYpOB6CrrTw9CXMBld/VNE++QSybIwjohTGHtonZcswS2ghqqfNNZ4MdmpXeCgAOwdnyBbkGmzxWnlZh4a7LKhjVBZOyjQ9dYm6N9hVvqAgOgCoKjwxROqDC4WrEIAthZ0aJhrOOuu2gaAeRbCw42BfYT2pNFJcueHRZy3UXgmoCvOUMHAUTCZXokNM/T/KKvvRkqTc9QBDip3s3koAYFdOdUIKTRlSB2R+zJOEPEZVbBQY9YDy4oTk7FTo2Mz2P/c7Cgb3Ik98i5VajwZz4oFdVcBSuUuS7XCdEId6lEm7fZLO8UDzYKLhPTmETCIX3A3gd0wq0qYTnAbw5HbkQ8jS4jgnVsSEEQxeclHZ9l5LUF9iFGliALOgKjz4U5ZIosWRQWTKWCGQ0gEAaHkxZaUymNIi6TshH2J7utBHhZSRJUQwkw6VeGVUtZV3BXSGkVbgjq7yCWW3nhQMQCA3FtsJaxZPTCwlshQjSXSjs7fTXQ6o4sGT7GjixE5lVsFFfNxvNeyckKkWhHPAL+TzrGQEkm6yuVWgjyW83zqIHmVjWFF6OTC2q5V1W7TQGATciJFDEIqMgTYu9rGGj8/ckYUdR9JpEgEt51yMDK6PchLu2XRaBkTjyJQRRb0ooI8jRok4ClHMNNK/hPXgBgDGA8AMLtCGBbZ7E0I4gtDwzRap8IxlKydCeYc1BeIoAj/XWgFCTQDAGh6cXpd4sewPYamoprVl9abLIYAvqhOSH16xUOZAy5VipThgv3Yvcy0Woi/LW7IhhuA8qxo2AV3dV5b0IJZSCYkET4xoyXvRZJkkTxD82qAxWgznhrAiEpyEpCRA61HYkIiAGpNPYYMAZQlRMyFs0ldGmZ0+1CcQemUYyISI6ND36IhUBaPba2lMdk70QGZaOKGfp8YrJgx1Ce4PzSWae9UNl7WWnik8CgADoaC5+yF9KKe6hTA3k3js33G7g4uwtHq3aYXZF+sRlQgrVJXa+nsKXx3LSPc7iR3CmpQFTdkY6QO1QXKFDgW8XrbXJiOYISxzSTxbHMSNx3bRrglKDQazODZooxBooB9gHQPGKoIEh5OifJI2aXWIKV9W9lSzKTeSwIIcspmlXCDLUFRLHHc05NHTIDQNPgYlRfBYpYKcPQN+M0iH52dGkASFMikeTOdJUlAhfLwgwqfa+q1CRGRNPpyLxxs48/t3pJsbVJb2oQRYJN4l8UKAALAepA0U8c1p8lhUkJzh0RVWCYlmzeSMPCNx+qzPzALsS3eC9Mf5nm7t7s0CmXLoPdcjGk9D+vbkvwUA0PKFwN0MDj5+adgQhEkSkE3IZWxWunvagMxHpAkieSKqiaGRwl9mpQ6CkJEcJ4MSY9xACTuU0hVugSwZF0khtVhCY8h2NJLyN4SuDP6uhXWZteW5Da5dAAYRJPQmi7Fl0bQbiU7VYmH7n0OnLoFhbBDBM4R+WAKxhXMIn2aKDcmD2uAzE6sGoUsxs/YZLbMOp3+lJkAJVwFA1QwfNyYbJhGdRF6aw6V09i4HLBzQsWpHPGDHsHZWc2Dp9SROhJwUAwYYbYCx6FylwKASZNoNqC1DuRAk256gV2opZcqkJAeZ+TMXxg3WyAJyUmZKkhxQyEHFhiyojSmUWA6sStgo/CkxIvmlsNFGngbwhUuCcdnXbmF8F1g6g1IBBkJgL1RYoBU2BKePRjLIe5omQbiUvQmJ20LkD2yWko+bLu1u3kkXtLvC4Zexyx6R5w5Fo+y5ohschjOAd1ruS8lEtslIh3P8OE+jxR44pyFkSkKVzabXwotCCeSEwLcRpYFGRJua1BsXQUIR6mFEgwYMBp9vLOSKUt7wG/NFQ7KpYS1mojwvfzKFDR0TI6JW2zoyUurSMPk3CERslN68RESCjZBxR6KLnyAP0mRLjVpBAyMoJuzBARebhpIQAJGZYQfsuzSahLsGYUG6kYezDRj7KkkUYskHE+UDutdbl5ouO4CNefvDhKn6Eoe93yBllMxQmPrEL6rLSbiW7ff8FM4u1692p2I3X4KBZM3CvEXqokiNYa1itJ4WjW7K1NLQBwjwe7UnF0KOtn5qIJ8fOgaJLmBj3PBSRKTBGC43yUL/APgImAnO68GC1Sb0g1p4IaGuk5dihWe3uabxyDSq69i7pAO6UBIDYgrZYHJ9Ek0VZ8ADJ4VCBc2HAmS6Zi2Rby66TDz9lSSKHImAz7H+m5um6UMxrQ2kY1cIhP00FQUlRUUVADkmsyGgj7qhRJ1L+VHmgAo9q/NA4bQY6JKUjrWPv+Twg48uYgcWfmpgurGA2ZD4oy1urFup+FEeaBH0AFIgEIR1pULBKjGC4AAsR9GktDSJiWGLUS0s2YZLVr4OQBiBy3rHIiyfZUkq19sNn4C078AaWzJjcVDKSMMXjREBn70k0Q8VtD5PCpIT0dERrh9DZIbyRh6jcfsyTRETwLF4SYd4LiDWGI5iWRGFkMMcMIh96SelFtSijxYNIX1sJch4FcCYOgf5w/ZkmneIoY7honeDUEOSrnIBZDLIYhfhEBk+9IRG46NTv6hDLaAl/OqEE05CpEfsyTUXx4As4kgy5tKMIhafOh2QYZddMMNH3qDSUpUIlPZ6uUdLpFOf/AyERJEw/Zkmodu3QwsB0pzFrllNy3KgECyuWw7K1H00+lN6mpqahUlSVNTQz9CYqBhj5OiXGnEs2AM3HSLGbJmSM/ZzlvOTCld8FRWw0EiL2SNF7DC890oCd6AfIp6SjCv+ep/nqQ/x6GcFYw93A/FdfOo9P6p+6/un7r+6fuv7p+6chdCV+RVtSYRB9m/FWR5iYvddMEVoi/JWOrrT4Qfii2CdfchFAZ4ovy8kxsECW6MD+dLINNZH2FNmE2D5IQQWITens1bkTITPesObjI0dGShFu8kT4pm7zL+6v91/Nf7r+a/3381LkXhQz7KXMUYlvdojtKBp6v7aS4A0FGgC3mqD71xnmFnkuuutoraC+9UJIa3nYV8VJorLA+BTAFaUDtI/FGaWZOgBRsB/k1Npo8XFDul/ygQvIE7IOlP8sdky0Oq1jC7IpL9mBgEsjrX9N/VIytufx1whwwoBgCoKioqCoKQ5B7Upn2q/yVf5Kv8AJV/kqDwXaoDSoqKj1o9OKioqKgqCopAgWQB7NSnI4T7Afml+Y0dcCHxS3KCIHSQhOGpYDxjervdrG8U/7sHxUa3wV7NTUhGtz8miAtyxXuUMVQIthmlzqYUtZIuYVEpYTMhhsxp9F//Z" } }, "cell_type": "markdown", "id": "alive-bones", "metadata": {}, "source": [ "Main idea behind the ghost layer method: \n", "--\n", "duplicate the number of design variables to be able to add or remove layers\n", "\n", "\n", "![2022-06-08-ghost-layer.jpg](attachment:da35b5d6-d7f1-4799-8193-25b63c092982.jpg)" ] }, { "cell_type": "markdown", "id": "imposed-sample", "metadata": {}, "source": [ "\n", "Laminate plate geometry and applied loading:\n", "---" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "digital-roommate", "metadata": {}, "source": [ "![image.png](attachment:image.png)" ] }, { "cell_type": "markdown", "id": "disturbed-riverside", "metadata": {}, "source": [ "Constraint - Critical buckling load $\\lambda_b$, calculated analytically with:\n", "---\n", "\n", "From Riche and Haftka's paper:" ] }, { "cell_type": "markdown", "id": "5382d750-5609-4954-ab74-2ec9b6f0ad37", "metadata": {}, "source": [ "$$\\frac{\\lambda_b(m, n)}{\\pi^2} = \\frac{\\left[D_{11} (m/a)^4 + 2 (D_{12} + 2 D_{66}) (m/a)^2 (n/b)^2 + D_{22} (n/b)^4\\right]}{((m/a)^2 Nxx + (n/b)^2 Nyy)}\\ (1)$$" ] }, { "cell_type": "markdown", "id": "theoretical-pontiac", "metadata": {}, "source": [ "Constraint - strain failure\n", "---\n", "This constraint requires that all strain components remain below an allowable limit, assuming that $\\gamma_{xy}$ will be zero for this bi-axial loading, given that the laminate is balanced.\n" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "endangered-milwaukee", "metadata": {}, "source": [ "The principal strains on each layer can be calculated solving first the laminate bi-axial strains $\\epsilon_x$ and $\\epsilon_y$; and later the in-plane strains of each layer: $\\epsilon_1^i$, $\\epsilon_2^i$ and $\\gamma_{12}^i$:\n", "\n", "![image.png](attachment:image.png)" ] }, { "cell_type": "code", "execution_count": 2, "id": "optional-accountability", "metadata": {}, "outputs": [], "source": [ "# NOTE allowable strains from the reference paper\n", "epsilon_1_allowable = 0.008\n", "epsilon_2_allowable = 0.029\n", "gamma_12_allowable = 0.015" ] }, { "attachments": { "image-2.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "median-canada", "metadata": {}, "source": [ "Optimization description\n", "--\n", "\n", "Take as reference the first design case of Table 3\n", "\n", "![image-2.png](attachment:image-2.png)\n" ] }, { "cell_type": "markdown", "id": "piano-marina", "metadata": {}, "source": [ "Note that the design is currently constrained by the failure index.\n" ] }, { "cell_type": "markdown", "id": "macro-excellence", "metadata": {}, "source": [ "Note that the number of plies here has been pre-defined to 48 plies, and with the ghost layer approach, we will be able to remove plies." ] }, { "cell_type": "markdown", "id": "several-february", "metadata": {}, "source": [ "We will set a target design load by means of a target lambda that will multiply the bi-axial loading state." ] }, { "cell_type": "markdown", "id": "toxic-proposition", "metadata": {}, "source": [ "Defining the reference case\n", "---\n", "\n", "Using the first stacking sequence of the Table 3 above:\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "horizontal-third", "metadata": {}, "outputs": [], "source": [ "# Table 03, first row\n", "a_value = 20. # [in]\n", "b_value = 5. # [in]\n", "load_Nxx_unit = 1. # [lb]\n", "load_Nyy_unit = 0.125 # [lb]\n", "stack_ref_half = [90]*2 + [+45,-45]*4 + [0]*4 + [+45, -45] + [0]*4 + [+45, -45] + [0]*2 \n", "stack_ref = stack_ref_half + stack_ref_half[::-1] # symmetry condition\n", "\n", "assert len(stack_ref) == 48\n", "num_variables = len(stack_ref) // 4 # NOTE independent angles for a symmetric and balanced laminate\n", "\n", "# NOTE make sure that you understand this\n", "num_variables = 2*num_variables # NOTE twice as many variables needed for the ghost layer approach\n", "\n", "# material properties\n", "E11 = 127.55e9 # [Pa]\n", "E22 = 13.03e9\n", "nu12 = 0.3\n", "G12 = 6.41e9\n", "G13 = 6.41e9\n", "G23 = 6.41e9\n", "laminaprop = (E11, E22, nu12, G12, G13, G23)\n", "ply_thickness = 0.005*25.4/1000 # [m]\n", "h = ply_thickness*len(stack_ref)" ] }, { "cell_type": "code", "execution_count": 4, "id": "cubic-transport", "metadata": {}, "outputs": [], "source": [ "from composites import laminated_plate\n", "\n", "prop_ref = laminated_plate(stack=stack_ref, plyt=ply_thickness, laminaprop=laminaprop)" ] }, { "cell_type": "markdown", "id": "traditional-joshua", "metadata": {}, "source": [ "Analytical equation to calculate buckling\n", "---" ] }, { "cell_type": "code", "execution_count": 5, "id": "polished-remains", "metadata": {}, "outputs": [], "source": [ "from numpy import pi\n", "\n", "def calc_buckling_analytical(prop):\n", " a = a_value*25.4/1000 # [m] along x\n", " b = b_value*25.4/1000 # [m] along y\n", " Nxx = load_Nxx_unit*4.448222/(25.4/1000) #[N/m]\n", " Nyy = load_Nyy_unit*4.448222/(25.4/1000) #[N/m]\n", " D11 = prop.ABD[3, 3]\n", " D12 = prop.ABD[3, 4]\n", " D22 = prop.ABD[4, 4]\n", " D66 = prop.ABD[5, 5]\n", " lambda_b_min = 1e30\n", " for m in range(1, 21):\n", " for n in range(1, 21):\n", " lambda_b = (pi**2*(D11*(m/a)**4\n", " + 2*(D12 + 2*D66)*(m/a)**2*(n/b)**2\n", " + D22*(n/b)**4)/((m/a)**2*Nxx + (n/b)**2*Nyy)\n", " )\n", " lambda_b_min = min(lambda_b_min, lambda_b)\n", " return lambda_b_min " ] }, { "cell_type": "markdown", "id": "valuable-domestic", "metadata": {}, "source": [ "Function to calculate strain failure criterion\n", "---" ] }, { "cell_type": "code", "execution_count": 6, "id": "aquatic-element", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import scipy.optimize as opt\n", "\n", "def calc_failure_load_Haftka(prop):\n", " def strain_MS(lbd):\n", " Nxx = -load_Nxx_unit*4.448222/(25.4/1000) #[N/m]\n", " Nyy = -load_Nyy_unit*4.448222/(25.4/1000) #[N/m]\n", " Nxx = lbd*Nxx*1.5\n", " Nyy = lbd*Nyy*1.5\n", " vecN = np.asarray([Nxx, Nyy])\n", " A11 = prop.ABD[0, 0]\n", " A12 = prop.ABD[0, 1]\n", " A22 = prop.ABD[1, 1]\n", " exx, eyy = np.linalg.inv(np.array([[A11, A12], [A12, A22]])) @ vecN\n", " margin_of_safety = 1e15\n", " for thetadeg in prop.stack:\n", " cost = np.cos(np.deg2rad(thetadeg))\n", " sint = np.sin(np.deg2rad(thetadeg))\n", " epsilon_i_1 = cost**2*exx + sint**2*eyy\n", " epsilon_i_2 = sint**2*exx + cost**2*eyy\n", " gamma_i_12 = sint**2*(eyy - exx)\n", " ms_new = min(\n", " epsilon_1_allowable/abs(epsilon_i_1) - 1,\n", " epsilon_2_allowable/abs(epsilon_i_2) - 1,\n", " gamma_12_allowable/abs(gamma_i_12) - 1\n", " )\n", " margin_of_safety = min(margin_of_safety, ms_new)\n", " return margin_of_safety\n", " lbd_init = 100\n", " positiveMS = opt.NonlinearConstraint(strain_MS, 0., np.inf, jac='2-point')\n", " res = opt.minimize(strain_MS, lbd_init, tol=1e-6, bounds=((100, None),),\n", " constraints=[positiveMS], jac='2-point')\n", " assert res.success\n", " return res.x[0]\n" ] }, { "cell_type": "markdown", "id": "periodic-formation", "metadata": {}, "source": [ "Verifying constraint functions\n", "---\n", "Compare with columns 2 and 3 of Table 3 above, first row." ] }, { "cell_type": "code", "execution_count": 7, "id": "chubby-antigua", "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "lambda_cs_ref 13517.970921520578\n", "lambda_cb_ref_analytical 14167.523183899806\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/x7/jww7lc053bv10s9m981_324dmy7lhy/T/ipykernel_57190/2488278243.py:25: RuntimeWarning: divide by zero encountered in divide\n", " gamma_12_allowable/abs(gamma_i_12) - 1\n" ] } ], "source": [ "lambda_cs_ref = calc_failure_load_Haftka(prop_ref)\n", "print('lambda_cs_ref', lambda_cs_ref)\n", "assert np.isclose(lambda_cs_ref, 13518.66, rtol=1e-3)\n", "\n", "lambda_cb_ref_analytical = calc_buckling_analytical(prop_ref)\n", "print('lambda_cb_ref_analytical', lambda_cb_ref_analytical)\n" ] }, { "cell_type": "markdown", "id": "christian-throw", "metadata": {}, "source": [ "Defining design load\n", "---" ] }, { "cell_type": "code", "execution_count": 79, "id": "executive-serial", "metadata": {}, "outputs": [], "source": [ "target_lambda = 10000" ] }, { "cell_type": "markdown", "id": "2f221cc3-c4e0-4000-9cb8-3093a6730487", "metadata": {}, "source": [ "Stacking sequence and thickness from integer vector\n", "--\n", "\n", "Half of the $x$ vector constains information about the layup, the other half about the corresponding ply thickness, implementing the ghost layer approach.\n" ] }, { "cell_type": "code", "execution_count": 80, "id": "f9e10d51-cf97-4ae1-9781-aee8fccc4424", "metadata": {}, "outputs": [], "source": [ "available_angles = [0, 45, 90]\n", "ply_thickness = 0.005*25.4/1000 # [m]\n", "\n", "def layup_thick_from_x(x):\n", " layup = []\n", " plyts = []\n", " for xi in x[0:len(x)//2]:\n", " layup.append(available_angles[xi])\n", " for xi in x[len(x)//2:]:\n", " plyts.append(ply_thickness*xi)\n", " layup_bal = []\n", " plyts_bal = []\n", " for angle_deg, plyt in zip(layup, plyts): # balancing\n", " layup_bal.append(angle_deg)\n", " plyts_bal.append(plyt)\n", " if angle_deg != 0 and angle_deg != 90:\n", " layup_bal.append(-angle_deg)\n", " plyts_bal.append(plyt)\n", " else:\n", " layup_bal.append(angle_deg)\n", " plyts_bal.append(plyt)\n", " layup_bal = layup_bal + layup_bal[::-1] # symmetry\n", " plyts_bal = plyts_bal + plyts_bal[::-1] # symmetry\n", " non_zero = np.logical_not(np.asarray(plyts_bal) == 0)\n", " return np.asarray(layup_bal)[non_zero], np.asarray(plyts_bal)[non_zero]\n" ] }, { "cell_type": "markdown", "id": "dangerous-recovery", "metadata": {}, "source": [ "Defining objective function\n", "---" ] }, { "cell_type": "code", "execution_count": 81, "id": "subject-intensity", "metadata": { "scrolled": true }, "outputs": [], "source": [ "#def objective_Workshop1(x): # NOTE to be minimized\n", "# stack = discrete_stack_from_continuous_x(x)\n", "# prop = laminated_plate(stack=stack, plyt=ply_thickness, laminaprop=laminaprop)\n", "# lambda_cb = calc_buckling_FE(prop)\n", "# lambda_cs = calc_failure_load_Haftka(prop)\n", "# p = 0.08 # NOTE from the reference paper\n", "# obj = (1 - p)*min(lambda_cs, lambda_cb)\n", "# return 1/obj\n", "\n", "def volume(x): # NOTE to be minimized\n", " a = a_value*25.4/1000 # [m] along x\n", " b = b_value*25.4/1000 # [m] along y\n", " stack, thicknesses = layup_thick_from_x(x)\n", " return sum(thicknesses)*a*b # [m^3]\n", "\n" ] }, { "cell_type": "markdown", "id": "sought-episode", "metadata": {}, "source": [ "Defining constraint functions\n", "---" ] }, { "cell_type": "code", "execution_count": 82, "id": "casual-knitting", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[90, 90, 45, -45, 45, -45, 45, -45, 45, -45, 0, 0, 0, 0, 45, -45, 0, 0, 0, 0, 45, -45, 0, 0, 0, 0, -45, 45, 0, 0, 0, 0, -45, 45, 0, 0, 0, 0, -45, 45, -45, 45, -45, 45, -45, 45, 90, 90]\n", "[90, 90, 45, -45, 45, -45, 45, -45, 45, -45, 0, 0, 0, 0, 45, -45, 0, 0, 0, 0, 45, -45, 0, 0]\n", "48\n", "14167.523183899806\n" ] } ], "source": [ "def calc_constr_buckling(x): # NOTE feasible when <= 0\n", " stack, thicknesses = layup_thick_from_x(x)\n", " prop = laminated_plate(stack=stack, plyts=thicknesses, laminaprop=laminaprop)\n", " lambda_cb = calc_buckling_analytical(prop)\n", " return 1 - lambda_cb/target_lambda\n", "\n", "def calc_constr_failure(x): # NOTE feasible when <= 0\n", " stack, thicknesses = layup_thick_from_x(x)\n", " prop = laminated_plate(stack=stack, plyts=thicknesses, laminaprop=laminaprop)\n", " lambda_cs = calc_failure_load_Haftka(prop)\n", " return 1 - lambda_cs/target_lambda\n", "\n", "test = [2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n", "stack, thicknesses = layup_thick_from_x(test)\n", "print(stack.tolist())\n", "print(stack_ref_half)\n", "print(len(stack))\n", "prop = laminated_plate(stack=stack, plyts=thicknesses, laminaprop=laminaprop)\n", "lambda_cb = calc_buckling_analytical(prop)\n", "print(lambda_cb)" ] }, { "cell_type": "markdown", "id": "addressed-sullivan", "metadata": {}, "source": [ "Global optimization using pymoo\n", "---" ] }, { "cell_type": "markdown", "id": "renewable-directive", "metadata": {}, "source": [ "Based on the tutorials:\n", "\n", "https://pymoo.org/problems/definition.html\n", "\n", "https://pymoo.org/customization/discrete.html?highlight=integerrandomsampling\n", "\n", "https://www.pymoo.org/constraints/index.html\n" ] }, { "cell_type": "markdown", "id": "normal-hamilton", "metadata": {}, "source": [ "Here we define the optimization problem:" ] }, { "cell_type": "code", "execution_count": 83, "id": "favorite-family", "metadata": {}, "outputs": [], "source": [ "from pymoo.core.problem import ElementwiseProblem\n", "from pymoo.optimize import minimize\n", "from pymoo.algorithms.soo.nonconvex.ga import GA\n", "from pymoo.operators.sampling.rnd import IntegerRandomSampling\n", "from pymoo.operators.crossover.sbx import SBX\n", "from pymoo.operators.mutation.pm import PM\n", "from pymoo.operators.repair.rounding import RoundingRepair\n", "\n", "\n", "n_plies = 48\n", "n_var = 2*(n_plies//4)\n", "\n", "# define permutation problem\n", "class Problem(ElementwiseProblem):\n", " def __init__(self):\n", " super().__init__(n_var = n_var,\n", " n_obj = 1,\n", " xl = [0]*n_var, # NOTE variables always changing from 0 to xu\n", " xu = [len(available_angles)-1]*(n_var//2) + [1]*(n_var//2),\n", " n_ieq_constr = 2,\n", " vtype = int)\n", " \n", " def _evaluate(self, x, out, *args, **kwargs):\n", " x = np.asarray(x, dtype=int)\n", " layup, plyts = layup_thick_from_x(x)\n", " out['F'] = volume(x) # objective function\n", " out['G'] = [calc_constr_buckling(x), calc_constr_failure(x)]\n", " \n", "\n", "problem = Problem()\n" ] }, { "cell_type": "markdown", "id": "reported-florist", "metadata": {}, "source": [ "Defining the optimization method, here using a genetic algorithm:" ] }, { "cell_type": "code", "execution_count": 87, "id": "dominican-bridge", "metadata": {}, "outputs": [], "source": [ "method = algorithm = GA(\n", " pop_size=20,\n", " sampling=IntegerRandomSampling(),\n", " crossover=SBX(prob=1.0, eta=3.0, vtype=float, repair=RoundingRepair()),\n", " mutation=PM(prob=1.0, eta=3.0, vtype=float, repair=RoundingRepair()),\n", " eliminate_duplicates=True)" ] }, { "cell_type": "markdown", "id": "thermal-regulation", "metadata": {}, "source": [ "Running the optimization:" ] }, { "cell_type": "code", "execution_count": 88, "id": "clear-anniversary", "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/x7/jww7lc053bv10s9m981_324dmy7lhy/T/ipykernel_57190/2488278243.py:25: RuntimeWarning: divide by zero encountered in divide\n", " gamma_12_allowable/abs(gamma_i_12) - 1\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Best solution found: [1 1 2 2 0 0 2 1 0 0 0 0 1 1 1 0 1 1 1 1 1 1 1 1]\n", "Function value: [0.00036052]\n", "Constraint violation: [0.]\n" ] } ], "source": [ "res = minimize(problem,\n", " method,\n", " termination=('n_gen', 40),\n", " seed=1,\n", " save_history=True\n", " )\n", "\n", "print(\"Best solution found: %s\" % res.X)\n", "print(\"Function value: %s\" % res.F)\n", "print(\"Constraint violation: %s\" % res.CV)" ] }, { "cell_type": "markdown", "id": "alike-particular", "metadata": {}, "source": [ "Checking the optimization result:" ] }, { "cell_type": "code", "execution_count": 90, "id": "opponent-campaign", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "num of layers 44\n", "volume 0.0003605154080000002\n", "ms_buckling_opt 0.023418794562162004\n", "ms_failure_opt 0.4356104684218065\n", "optimal layup [ 45 -45 45 -45 90 90 0 0 0 0 90 90 45 -45 0 0 0 0\n", " 0 0 0 0 0 0 0 0 0 0 0 0 -45 45 90 90 0 0\n", " 0 0 90 90 -45 45 -45 45]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/x7/jww7lc053bv10s9m981_324dmy7lhy/T/ipykernel_57190/2488278243.py:25: RuntimeWarning: divide by zero encountered in divide\n", " gamma_12_allowable/abs(gamma_i_12) - 1\n" ] } ], "source": [ "stack_opt, thicknesses_opt = layup_thick_from_x(res.X)\n", "prop_opt = laminated_plate(stack=stack_opt, plyts=thicknesses_opt, laminaprop=laminaprop)\n", "ms_buckling_opt = calc_buckling_analytical(prop_opt)/target_lambda - 1\n", "ms_failure_opt = calc_failure_load_Haftka(prop_opt)/target_lambda - 1\n", "print('num of layers', len(stack_opt))\n", "print('volume', volume(res.X))\n", "print('ms_buckling_opt', ms_buckling_opt)\n", "print('ms_failure_opt', ms_failure_opt)\n", "print('optimal layup', stack_opt)" ] }, { "cell_type": "code", "execution_count": null, "id": "e45714ff-2967-45bc-83f1-e7b315684cf6", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.4" } }, "nbformat": 4, "nbformat_minor": 5 }