Created
June 13, 2025 05:29
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arma_lvk_fit_in_r.ipynb
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{ | |
"nbformat": 4, | |
"nbformat_minor": 0, | |
"metadata": { | |
"colab": { | |
"provenance": [], | |
"authorship_tag": "ABX9TyML14pnXYG4zldM8qfVz/TN", | |
"include_colab_link": true | |
}, | |
"kernelspec": { | |
"name": "ir", | |
"display_name": "R" | |
}, | |
"language_info": { | |
"name": "R" | |
} | |
}, | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "view-in-github", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"<a href=\"https://colab.research.google.com/gist/avivajpeyi/2d4c1710df02741ac61522e6392950fc/arma_lvk_fit_in_r.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"# ARMA to whiten data -- in R\n" | |
], | |
"metadata": { | |
"id": "fS_g75mjZO1b" | |
} | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [], | |
"metadata": { | |
"id": "nvzJMqFwZI23" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"# Required packages\n", | |
"# install.packages(c(\"forecast\", \"ggplot2\"))\n", | |
"library(forecast)\n", | |
"library(ggplot2)\n", | |
"\n", | |
"# Load the data\n", | |
"url <- \"https://gist.githubusercontent.com/avivajpeyi/5c335d6515f0edc1e034d6cf4b480326/raw/379409a8d75451851aae3339796a4cf3497cca49/strain.txt\"\n", | |
"strain <- scan(url)\n", | |
"\n", | |
"# Basic time series plot\n", | |
"plot.ts(strain, main = \"Strain Time Series\", ylab = \"Strain\", xlab = \"Time Index\")\n", | |
"\n", | |
"# Fit ARMA model - you can try auto.arima() to find a good order\n", | |
"arma_model <- auto.arima(strain, max.p=10, max.q=10, seasonal = FALSE, stationary = TRUE)\n", | |
"summary(arma_model)\n", | |
"\n", | |
"# Plot the PSD (via spectral density estimation)\n", | |
"spec <- spectrum(strain, log = \"yes\", main = \"Estimated PSD (Raw)\")\n" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 1000 | |
}, | |
"id": "sHNaJb2vsXyc", | |
"outputId": "43732779-0b82-4778-9d2f-938b309449e1" | |
}, | |
"execution_count": 5, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"Series: strain \n", | |
"ARIMA(0,0,0) with non-zero mean \n", | |
"\n", | |
"Coefficients:\n", | |
"intercept \n", | |
" 0 \n", | |
"\n", | |
"sigma^2 = 8.248e-39: log likelihood = 695115.6\n", | |
"AIC=-1390229 AICc=-1390229 BIC=-1390221\n", | |
"\n", | |
"Training set error measures:\n", | |
" ME RMSE MAE MPE MAPE MASE\n", | |
"Training set -1.609186e-36 9.081826e-20 7.417952e-20 99.70601 100.5878 7.538729\n", | |
" ACF1\n", | |
"Training set 0.9919073" | |
] | |
}, | |
"metadata": {} | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"Plot with title “Strain Time Series”" | |
], | |
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1SDFG99lQA1hf3VDeC94M7Y75/jbVuwIHmNJfLpNABxg64TBEiroCKLtYG0mZ/e\n2/vL5xAgebUS+ull/gmvJ3kuZMJ8NoXYOgeLjzAv1EFNGqQ7otkAKxP+ql8AfBLcGQf8Qdoe\nDEg1/MpuxS0OEvGVCQak1VCBxdAAVfZvcBGvueAo2wPxzX30CrRg6whIhSVIH5H8xNNFVcE8\nFCSSd5VKgxRvcZBWJ/xVpzrXsnKQAIksWFiqo7ZwG1cJkIIcBNmZQCB59DpdA9nZyb9o22Vw\nLnMcQHngMAfJyVsnLrXjz50vSA7+uhKk7gSkGSJ/fi6Sk2XteeeLapA86nm/z2kOxN9LxVnT\nnGtZOehfP5AKQDAgdeHndw3uJQVIxMmnLuy/4RWkdZCZ7bMZQ67wewjCYp8XlvPpa3xB6s2X\nlD1IDv560kelO+Fkhigfm52C5LLPrUHyqB/9UgRwkGJDrOAYQLOcS/A46CDvhDQxXRGAEw4H\nB9Dn/Pxuwb1kqkt+IP1w3qvX6QYB0h7aJkAKInFEPhjH5sa7iOxAaMxBwo4UBkg3cB2AmaKg\n+YNQDzWtc3Fh1CB51Eo/kL71vgcZhI76+3LHoSt+IHUOCqThwYMkHMbJXdaDZbu8grTx9n1s\nLwUp9W2/QiuuepiDNCzeIA2GRuxDUsyivgTpA/J1zlrHf6SLaYia1rnUkNYgeVPyk35T+Et3\nBKSLAGuCOiGZWJ7QxHRdwR5356YR/Pz3g3pJVp6fQpI21IMZi726b2/iE6R//iFNojhrMEvD\nh/moPSjeIA2F+n4gCT/+D8jkVILEwrFf8jqXx5MGyZvS+kcJhHnfgwxCHE/PJbukkvMZpm1E\n6cbvzHs68JEQtItGBX4K2ZxsAONneAVpswCJJKcXxVmjwSlkLoDyc5AGQlHvJxANg0KsO1RE\nLQ0kSO+TyjRfya/hdifUtN4lSYwGyZvS+vtI3hmQLgOsC+qEHBC1hG7qSJCKe76AACk4dv1B\n6gwfTfda12UzX2nsoQG2OQGuBQNzfhgTAkhToQAHCfd7BVI34n83X4H0NmpaP9/5ohokb0rn\n7yN5PR4eAXGLr3h2xH0UUhGI6GUD6X33mt+j6V2PCh6kivwU4sA5Bt6c5jVx8lYBUgRpKgUw\n3+7s4KYaHKQBdr8oz1rAp3DdiSNFQxnr3JJUplHpIm9hkDY45eJiGiSvSg8H7U0icuCFUK/b\nfZit4SpAMOGtjD0Bt18HmiTqffea36d6kD9HQ2SQg6A/SGOhw1Sv7tunjjG2PZI0VecrpGD2\nEurBaPZZvEH6Llash/DiR4HUgoC0aY34eQtvVW9wiT/TIHlTbjhkb7oRpOt/IDW2VY5j6SIA\ngonKEw7Kt161rS8+8NtZIjpFZyhjICJYkCrxFyCrnHHQ/gu/Ui0OusiHv8U0FLEG3GgK/3p/\n/focpE+DmL1SKZDeQC2NJEjPEI/wTXK3/ea7qEmDFLqehwh7qMHNBADpRTtIT/GLngt8rIOK\nw83qAUByHiuz3qD29bFwM2SQxsMbo8BjcrLLHKRFNPCjBuxs4P+kclZ9GMX6x3tevTDGH6R2\nzA7SZvnN3OyMmrY4ZdBnGiSvetF/1XGL9yaPD2FHDbbPGEWUXXRQ3pil4WQlWy4RAdKLDocL\n2zXNlTIOvof1wbyiwp1UDhoPr/fwGlB0ZQ0Hicbk1oRfGsAR76/fjj8n+sW7GrOg+H2SL72x\nBKk5yU+8WeYWv4FASn7ZpdCtBsmbXvKHJiFA+haiCpCGavDHGc9ljaWawzflbCANdR0rK/iB\nNC4mSJBqin0fvKCYAK939xhQlCFqDR8UgLzt12BK/WBA6gy1Wd94F6NZFC08wAOBhHemtsj6\nfTdQRvPMoEEKWT3AnmWXid34UFOtzreXFaoO6zbCo8FcogV8/STMJE1rwM1hrxIsJH/PgFIX\n9wVXhba/AAmXupwIrT7wGFCUXbj6ziS5EPj3Pbk4HPX++l04SH3iDdJiDtJjBKSn5UOgGZl0\nbJWlma8jd94sjnUvmQbJq/r5gxQeZHh0IC2wzxhrwJI1ZK8wTj0L8x6wlaNYC/7JVy01g0Xk\n72WQ+zwElydikAAJb+NMhOzve0yXmUOANBhIUuWOMCk3xKTy/PoCpN7xrgr1fZQAqQNq8YGE\nTZ1bJ4ifV3tZLRqkBFB/v5qlKSLgRMggbbbbqWvCmK9FzUXvagVz77dl0V/nCtJIurzhIOU6\nG9xsUuSkpKklJkH216CT4/FYOYSPyGB4DLd1gknsJnjPm/we1GK94l3WXID0KKlC00RO6poS\nj/Bt48XPS8iDOAuQas1UGiRvGuNXO6UaH6NCzhAZYQepFgyZEtxX8hzMSR5G1xcCJOdN+D9s\nafCWx2Y5HR+QcNbRbyFbY78hO7ByiOf6IHgct3XiT6m/gwTpZejp+XiqJRIkfLdN5YKvKfEI\n3zZO/DyJQHpAgxS6lvgVtqoN8Ga8v0ufIu2O263h/dHBfSWt+QLpLC37td4VpMO27F0rbrKT\nNDlVnBoiQKqBGn6Ghxp7LDOeU3THQTSYaAC8xXYFkbO4K9RkdeL94S+NFCANRC0KpCbEkfUP\nidDv46yWB2Ci80U1SN70G9hdWOoAtIa5gY/2rCiw1a7rAt26QeVgLvEun9+fockENtijHIiO\n2LJ3/XCT7Q8SpKEQQ0HEv4sJAAAgAElEQVT6BR6q4xmkASIkiIA0Ct5kO4PIWSxAKgMfez6e\nalmkyHqGw2KayfffhMypL8qMZtsRSFlhgvNFNUjetBOAev6LsqfNXJ773hRtt2EMh5e62rIB\nx6He0Jqdonmi4gKJ5t/56wbbSGzZcWsoLDzE+7KlX+DBwvYKEw7KJVzVB9IYiFHQjn/CJZ1O\n8ZMAqXS8QdoVIUDCvlkKpKcJC5el3VOtlJQ0SAmgXWAvZFIfoGSwMXh+irGDNALqdIFBwVyi\nPzzPTtIUoKLCqr1AhaWjAKTK5MnrnLzgQBoG09cQkH6FrI+TyZKzJEhvU5BGQwO2IwiQPuHD\nYelgk8SYOihBwpHtzQ2Q8FTgioyP2opAehDQH3ZpkLzpGAD1s2QN4GoWl+7qTbF2Y+AoqNU5\nuML3n3KQTtDwHpElbqHD4Sz5aYBHcMOp62wOzTsapz6HL38gOUhXwQOPeeQ/l0gQ8QqNgRjD\nB+Edth01N02AAqwU9Ir7wIA6xB+JjxCQXpTGlsYEpKsy9H0zGoQ0SKErOfiVfGgIy1M7d1dv\nEklO6YRoNNR8N5h8OgKk59jxa6TJFaRi/D/JJs6pMDY5aJCmTCDZDH67nuIxj/m0iimQiIl/\nEdTlg5p3kCby+w0BpEOMZY/FIPWQINUnib6vyajhTci+8BB85HxRDZInpfAHqTEsS2Xb2gxa\njfhl6YRoDNR4OziQhnOQjlGQNsMV5xTzJe0Zjk9fY5OIl1ncmgoTxhPXgI0X2KMeB9LqIvfX\ny4BzIbAf+VRtpq2+hZsm8qlYyWAyShIdFw+Z6OGoRYFUiIIkMyttICC55MDVIHmSAMlW8uFp\nWJYSFod22cb8snRCNDY2Xymwxyi56itoxY7QLdbNsAsiHA6XIBF3z9NXeccMDqRF0GUcyc56\n/Dzvht84Ho9VQ4FE+uRKvmQaw6eoXjUJMrMnoY/n46kixYScgPSRAVJV1BYmnYPWo62jh9xQ\nT3SQUuYpXCDOdDP3HEgpwa/kQxNYmizUAklN+GXp3sT4G6xAMBneRCrtVnxmRZq2wA77is5S\nKf6a2Est2a1VfM2R3enwgPoemo4FHKlz8g/eDb3FitcUILWl8VIrISfrB609v/7s6LQhgBQl\nQIrCfr4fSRepRwhIystuDfIKynbvgJT67c0RYi/v1MwKrsfdkyDFUsdODpKqmBiCmvLL/kZa\nJl1n+YMDaT60ZNNiSXLGrfCFXxE/UwIk7KWWEuay8UGWo/gFnh5D8tCd2sC7obfaHPWFc85z\nNO/RT5CD9Q0i3HgVn8qWgL6ej6eKFiBFYux7S5AKYpBShUsfoq9RevdsdD5KlaggZdwKt3Zt\njvx3zp+x7tOXxAYp2TMp3A/ILfAn7mEcgiVs/5LQXrc5vyrNgr0sjIM03OHwgJoPhfiIQowF\nW6GNX+0xU6VtIKWCOWxccO597B9oPIrkoTuzgXdDbyB1EMBUoK7bP/MRsW8Q5Sh+uxoKSDFi\n0yICgzRBgvQw3mPOBjISad7PVlP2ewakkTCKz+oKH+3MHl7s+rElNkg54noaFhQg0YG9KXzG\n/tkY2us+w69Ks2DvuMa/z6BAWgD38RGFrHG2Q9lYe+0xU6VtFVQESCNsifHi0l5oNJLkoTu3\nnmUK81ZF+k2RBbgCtMBtP/P7fzkIMARIxaGf5+OpYgVIlzH2k6R7Ul4cxJVdFRaY9wtuauB8\n0UQF6YS6+TbX0rMUv//hcmBig9TWXq7erkICJGqzaQavs793OxzvUS34VWnO0cPXWD4330h/\nLeYgjaNrnCtQNsaxelAZ/pofoL9Tw2z2qscQCJ/2Q8PuOOIp5e11fJja6XwCUkdRcqg8WWGx\nX2IysJZBgLFaguSS08dVchv9LwzSZAlSLpmUy1B2kPmD5v5qNeW4Z0CKVAbLwmLjq49bLtDE\nBqmTX8mwVPQGHgO/al7t+cf+V4ggiZjwvaTlyFUOUlBFLnZCajaWuK4lu8VBAqfjm/HX7I7+\nzshBaoC7kAcdgAbNcHXN9CI77B5vH0ZHsZNbnnqc/nJdPFT6eX791VeE2+msuA8MpGTSsesv\n/I1PkSClwM78OeAt8WvOKqupiJvvVqKCdFoFyTwrQlnGXHQ5MLFBessvqdoymlhV2IxtiXm+\nhOfYJkoBeym4fU1Zg5gmnjz2D59h7HU4PKB2c5DGEHtTToAy0ZDc4fgeQIuElYWvOEjBxYMc\nhPp1KEi8U+/5y/kEpE5iJVKOOsr9fU1Mc/s7nOEvUfErNb/veCm5BGk3BulLmbc8GU6IklOF\nV81BtqAm9wxIM2PfSMbH5KM30rNyV9yq3SU2SG+DrYRUyqPhZNUh5mC2gIepUJitoLs1mW90\nDO51Z/Cr0p3T49s5SEFVi9kNqThIOMouN8CT0eBkPunHXxM7rZfjHbI+yakTtw5Bzdq4aMb9\nIo3RHm91azuJey1EQeLjMB8pgwDpvFrbxUspFEjbUNPUqLTiFwVJfpezEUjtiDOHTYkKUv5L\ncGrtnlg++0wReaOcy4GhgpQtDiOcXW/DNWrbfsSGzbP+meqnwoNsObWNVQ0yJR37CmJt4aon\nt/Kv0C87spv+4iCNJlF2eeBMsihHkPrbQCrPQapH3BTi1pGoFLUABRhkEBkq/97jfALSW2Ia\nmpmCdPSKMN54CwwUWnuG8xD7c9wHBlJKGT28Cz/ApqvvDX8KudSG81domv3qPQMSK/hNGESt\nE27DQ13TZIYK0oGWwR0/217X+1EgMf0KJJpsYxpkZcuobaw63Aj2dW/Z7NSnNvBVe1CF769G\npWDdiSt2HjjOoiClw/Gf8neCI9PL82lZXfpu/dTM1kmORLBa2INTgWSLM3HQWyKBUGbqun2a\nT9WqBAOSmImf2OL5eKJUEqSdOB/ldJXcNhZ9CrlUQrNZa6ymewgkrvROc3esUEE6EWQuhZ+A\nZrURxgViVmoJcI5abCVIi+mSvibcduq+gTUb1tvqRpzmE/8/g8g5yljkT2K6hF2xxdww0hGk\n2TaQKnCQ6sRRjfkPW+2ioxH8vSKQMopV11/elnZdID9jmQhI98FhkTHWu2fUBrHtcGRbnMcF\nlAJpB/6QZ5yWvzBIuVU985koK/prpHyfTXfN1y5rIZf/DBGkVBdcEpAF0i82h2gBEskn0hFi\nt9k6m6i+MJMu6esAGRni1hz4LoYm3zoTPEg/CNc1XMU+L1++bCEBrFhf+4E0k9Wmjw27cthr\nFx0N5yCh9CqZJEhhXp6RbKQ/SGlgi7Dlfu3ldKkToizlke2ejydKLZ0CyYc8Q9maYtE3nEc9\nm6ajHLT3JkhDHO2zLGSQSsMJT9+pqV9pKg/GHrcZAT6GfxbaqnFNh0xsEK1S1wXcPuoAmgML\nomlkzplZ/Pnvl6/fTVErROVJ/Lp5YTT7zrE2xDccJNxlK0BnVtzd4bwUXg8JXQxnNQDtv2aG\nL8VizdNwPEqBhGMg0sJmQaszSHltC77TIqHl4d+9vJxQ7tn4r4dkvMfv+EOeoXCJISDJZ+I0\nZEF5nTyubEqSIJUFSBvUCavANv19C8Rsw9In8Pd3tvRPM/g9DqQzwvHgtmUXQHNheBSNaTg7\nk4MURBZsBVIdcvv5+ACyAJyWiaJiJzb9VuRH5nefVo2w2RFTwm2+HkRm18zwhTIfetBosRzN\nSEBKJ0BK6eI9foIaTNlp0fEPu23pE31GLC/FZVrP7RikmQZIyOiaTw3pU1FV6zfcMncmSZDK\n2S1sfkpHa1b+Zvf/6Q40gy4HaYEtYe1P0ak5SCTWdE9QpbmZAKntLQJSsrAZ/GF52PGEAIpe\nITIa4R2OujDCBaT5QOtdPMXHrofdQZptSyecBm5xkFZaDVmCAimfAAkHE6WHTcIq7bghkira\nltH2jFi5HPrTy8sJjSS7AyVkoult+GllrISiEUhVFEhfEpDyO79GooL0O9KZOwhSeYgrtmUM\nLdCxhm72+4PUC/6eb3MjunBepJEiIJ0Gt/QYAfQ7vLSUVCdJLS4QJEjLBUg47/bbMNwFpAUc\npJvo72c5SPncHwBzbemE03KQquI6Gg+IXHW7aCoIJ40R+fMz2EDaKPZJHQus1bZPLc+s4T8O\neS7INop8GAqkrRikWQZIqBhSdTXZH4HKxrZ385FPVJBiYsJNRd9ZkOKIbfmS5tFaC7ZstB8C\n3MLua71gVzcgM2128ayYMxAbBQcpKDc5FgYvLSQgZRD7K9uj7/N+ieQxy0VaSbwP9DbHYpZj\nQt/vbCC14iDldfeT3QbHyN8Z4QZLdwtt45QV095Z3kAaC7kYuy8cBwbfL8rKJHMGabEtkyw7\nK3Z3Dnou8Tc6AEg/BAIJjcs1VNrVnietpvZgr+yDlKggDQmz+t2dnNpVCBakA2Cbt/WwlbXs\nBSNftu2kX9wo9mQISGfsl4lL16HNQjLtKC580MYEUyy9gIjSrUX2gd6BoewlW31mSwshktQ8\nfw5a8JX1CIejjds8Tv5+Qhgarm21GqqIGKMBXkHKwX+exlOCDNLbBxydXpfal0/nhL+Bd5DW\nk6fKk9LJewEe9o3doig0LtdU9TI+QiB1gLzOr5GoIKX6c7s5jb6TILWMsyblNLKeT3kdgNaQ\n+oiDhPMV9oMX2tpAurROgISXnxnDgi3Geh1KfEe2p0qK/Bp9gnn3jwj0agL2TXoHurIXHT3R\nlsItAtLz/AZyw0iHo4XSRcAJ0lBSmL6voZ5YFZ4TIHkaSOfIkI9TM1FTRllNI9YRjI2wivx9\nX4RYTv3r2WP4iLg9Uwqk+Rikr9bIXxikWmpB1OOU1dQhyqVwVeIaG4rcMm/1ToL0mT2A20/H\n8eSGZQU7SD15C06ztgHKvmRLq3ppjchBjYP9+IxSrJqD0A3IuIAMHWUEEX2CyXv6iBiMapIE\n9u/yyVpr20TU0l74C3BN8Rc4SOkiRjkcLVQI4ArpQiXFCHH1qNVQVTj0DoDcXm74x0hxrVPY\ndTuTXH7GOIGRHOAwsX9nkjVzf/EM0nGyZC4ZACTlCBTpD9KHCKQ3aSl2qkS22mU0k7VXd0lt\nFCpIAyGuzb2LBKQHbe5nYt+IFi7aBmXsIF1eLew4GKQKfkERcekGZFhAtibLie2f3jSfr7vK\nCZBqKJ9/Q+/ydfJzjiBdgwEQheaOLwrXp1MuBUuEvxRNJ1xKgoTWTTUESLYFo5N+lMksT2KQ\nMiuQnLzHU9iDKuX+L1vhFaQUEaRqSEnp/DMPzdnYbAXSJbRSrK0sC91PW00d7yGQPCpEkAZD\nXBltLpFoKAESnZN94gdS6Ta2SimXV4m9blxUQYAUVEXy/NGQYQ7ZUZGRo73pHi0r45YwrpGw\nM5SCrqjpXb7saunoGx0BnwKe7LcRSah2ujmAimAsUsWplHhOXUHrphdEXqLPvBVIWynTK5/E\nyZ4zyxq4x91AItsZcv+XrTjv5eWY9EDGn3EpCdIsvLdkgLQbgVRHWRY+QF9oR7cQuiQJ0pC4\nQEoVRh4uIvqaehP04i110N/boVQboBuAV34VBTGxya0iP8ktyspPtQHuf4V8yRXF8NDLVvj+\nDTeXocYCpOzEWNCZg9TCEaQo+DAWm5/aCu+Mnb84HC1Ui78vXPCEf14CJPRIb6NAetx+ZiD9\nJBP+H8cep8XkVG2vUxhGSrvDsNz/ZcuvORxvVwW6K6FA+gz7YaxTwRK70adYVz1s3kcgdbrX\nQPpgQ1xHhAjSMLc6W0J1ySqBve5XSnwUb8EL1O1Q8gWgOa+u8Id4ZfIFi1rft4OwXAvfvPvb\nkh0VCdL7tnrd7d1chhqLIJpkN1GUHQepKr8zJ5BioOlRChLvUTvcQBLZ90gRwdLCHH0ZrR5e\nEtHDn3qbkf4kATyKbH68a4tdg3+cwjDut4OURRpHl4c5HG9XRfpcrSctUf3w9vFmBdKuEfgo\nCVI3tHfdiawHbLobIE0OaGdIVq2OqdGhgTTcrTyQ0CiaEf8NP5A2A7Wgb4cnH7bFSFz9SZgX\n8AZFJXtl1bhUB6LuoyBVEnOY1rZ08h2iXTYCn5bRaNdxVmoBUlnHijMATdbggbSnBMktlqgD\nf1vEmN5SgoSe1W0VSEXtZwbSOumQcASDVBp68J97nDyjioItQ7rc/2WLvcastANAmRdYKwlS\nXzy93aysgjsRSPVV3fVXIi2b/ltuL3jvgFRQFDc2lSGUFxgB4PaEFemXSGirAIlOuP/gLWib\nm/0OJe63g/StWOnjDYp24sZzBHGfdWEV74M4z+FTAqTnbXVl33er09BEplsIw1bKLnzV4whS\nMr5A+gn7uA4Ui4U/3WIJRVkxko5Y1oW64A+Sa4yZT8pF7hCOgZD7uWyl01r+Nf76M3GDKp03\nym2AwBpM000/J214fTH2WxRoO9AmQFNlg3wO7em98/8BElaIUzsOkrv7yASIxh1egERjzf/k\nLTg71O9QPD3QL+7qZDtIskSxp85kqC7n/SW50PbpKRGY+5wNpGVklmlTE5kAyA+kMnZnAJ8y\nACT7Cfu4DhIg/eEWSzjVDtIL4s8taNIjMxB3IwtGRx2RTtsHMUg1pIPWkvDAJ0jLz0zckFXu\nbox0M6JhDaZZclVyyj74mzqqbC1/IpA6CAcMMXxZPXEwndtTJUmQfrZni7NrIhAvz/bwbziQ\nXKUCpH7o7z+gWDobSNf6iUdpZ9QyGDbSEsVxqZ4ECdupK4vBp5WtruwPbpWAmsokddewa1IX\nqMxyO4FUhIM03x8kN3tGAJD45GgTAukVAVKFYED6A4PUWhodv3dKV96bvz7JGKQqfo10As+u\nIXaQysiLIpAuK79BHL/4pgKpJZobfe4WAnw3QMqcJ64jQgTpIID7sD+T5tZqD+suk03QNGeA\nVgD7A4qmvEmMNhlvdxUg4RilITDWHtfkrnq8f7QhVoFqYsHeCsqSw1badouJmkp/VQLSexyk\n1E4gPQHARuPHyGARnPi7mz1jGv8wSLzSy2L9uOmGFfPVTuzzlHML17F0VMbjrcJReXIriy2O\nddiH7sNfn/hpPCgT841wrBNg0zQKkpo5E5CuKE/239EzrSPkFL8wSCPcns53AaQMReOsuhsi\nSIcAYl0TYx2nuU06wNBLJOlvPjFJw5EFf4bnZMcISFVELvgyBKSh0G23Y2BqINXnsJYji5nn\noLCwQVCQtrnly2kmo2uu4g3Vb/h3msppA+AJiGUjcdiUN5DI9m5fAdI6FPP1qgLJU6aMY3Is\nIiC9JCdbi52iFPrZQZK1ytgIxzoBNi0BUuzzeblD2AuPn0ZKq+0ojXEntdp9Fs1URrvtACc6\nSNV/l9FvS12fXiGCdJh/8vndDjhFjdufQPdLxNz2MNjisf88zDsbmZNXFX6apUnO0qHQdU1Q\nseb14R2+ZsHlM2XpuKJ0TZTB7nZB1E76Ml/FzrK/8O80pc0MaaoR71QjMEhDRNKI7W6xhNPt\nHhuycMQs9B29JipZlnV0OCc6Ju11v+Lw1pclSIuUm6i/+ttBLi8eYmy4Vyf5Pfx8ZJl/Xo5F\nFCQV7bsNgfSWAqkFioH+ys1LNrFBKh8RtpJ/jQ+diSjjclQigIS9jwdA9yNqJDckQcJeRns4\nSL/YQOosdhJxGNMweO9r4j0al96TIOHVQhexYHkC56AWuyZuu2Ld5MFXKEiVOEgOK+Nn+DTn\nc5wNfqgEyS0E6gD/MEiIbD9h95qJulgvESlc1s0mYkltxRKQ2sn5wUJbAhpTC+wgVRAPMTbc\n6Xi79tKKUK2l1+wneLPuqgoZ3orSGL+tnqzPgDV9+v5eAmn5sTwyhXK2Y24VUUIE6Qj/5Bye\nbkqngUTpLYQPphGPIA5SDJ4bZQf+xP45GnvRVxP5Qh4g4eefQ+eR7vEINo2Dt9n9gCc5cp5V\nBEhA6PMALrGgPaQHxh78af4a+wRL4QRSCw7SUBy+NFRMe7YdCXy01EU7SKL+M5uButhw4ZhW\nJhiQVmI3kVclSPNplKQlPoehk9uKEqRPnI63ax/NkttaWrQ/JiApTtcikN5Ri+bmsk6F0hK3\n5OaJDdLFj4xc5D0vuxwVGkgP3gB7ei2bzlCQlsEHU0ka+fwAEXgYyC1BIk5D1cU+U2YC0nAo\n965rPIJd4+AtDhJ+Ng8Ww8PjtC7DywAue/hT5Be+FccZ/HpReEw7bHq0gGg+m0NJg2aLxHrT\nwlwSl1y0J1Y2QLK62HCxe1nGW8m9E5vFzyUUJNHPhzg5ve6w+xRXkvf/pleQ9lOQXgDhfk5B\nUraaRSiXxbvKAak5mG7WbOm9BFJUGwOkdm5LxdBAKg5BgrQc3v+SpJHnIJ3Ba5fcwhVvLknV\nIx2uM8kteZ9GQIE37YmrXDWeTwTTExc+uWB5jKZKfAXAxcnrCwUSLle26qLYd3WwWz4Lm9lH\n2Gq/UGxW9nWLJbzkD9JzYuVkDfrDxU34gTQ54Oh8QkaaTMTv+jU58xrk5PT6F3994uco/T+8\ng3SApptWIPXEDu3X1DbcQpQYqbMqFN8MWXOXuW1OJjZIJwYYIE0/6nJUaCCVECC5uvSfpTt8\ny6HeFJL9ugBfIcF31t95BEhjbSB1EnYAHAwyEvI3wcVO4tR4eJOluIK/Hhml9agfSDEPMCd9\nKR+ZWwhIYnP5oiNIi9gbcmpkaKGwIvd1+8Av2TOUzxSfxHTkbzFCjGqlbWHJ953eHOhqJ2VN\nqQk4/8prsmLOQFslN1N/89e/ihuekpsXHbyFbTAWaQdJmBs7E5BUaXkMUhcZ7cGawoNm0wq3\nbCuJDdKUy6UFSFkGuqYJCQ2kJwVIrgnmzlGQVsCjk0jWgxfgwnBcaDkv/CtAwjmvZFBqelKd\nZC48XC8okCaIF92PnZiHCpAKUc+ydq6mk6lyhrVhDWr6TYB03GEUG8BBegmnaFgo9jVdg3Iv\n20H6RvSu6chIP0KMaqVsCWRywVYWQCflrY7H7/p1YfTj45yD97gAiUxunwkKpFy2vO3tJEgv\nYL8rVcGcfYfyGH2qlh5N0Azwh3sJpBzHo/6AHTvC4Zibd2fIIEWrMlEOSn0bAPvs/wCFJpCs\nB51h5VO40kte0ZFGE5BqielI6ggM0j+xmWviYidxaqIYBvdhq8BQsXP4CAWpE+8HzpE+CqTZ\n2DPhN+E3uNYBpFkcpKr4KbZIRH70cXNuvMJvgHg+fCO64kiw6gCPFCCVJAEhogNfCOTFekqE\nTFCQukmEXnXyHhfma7LiUzXRvYJU2AZSH0jDhAnHHaSRKiCmCfIy+dEtkV6i7yNlmyjWrhcm\nutajDw2kkhAbJncanJSR3wG2dXCQRpCExF1gZWG8dZJPgPQucSuqJbE6gXf890WyorjYSZya\nKMoSrcJ9ZJi4rewwAB8lrL8Okx4mdkuF8WzWUdS0WoC03METbRYsZFVwJP4iYZDr7RYmLkCK\nwQl0vhVdsQcKrZAglSB+7LK6DB2ipFJFSXPMWDzEqLGonRNIJ8G2SnxFBsy29xZIKJyiyLbh\nVzK3xHMYpDDVW75DqfpGKcvC02jcXXlPgcTXwdkLxRVrECpIu/eSkFG7xEd7Bf39FzzyNNkA\n6gKTH8cW34fFYvstkka1tpw8Hsdm2QPhLCegXNFxapIwFf6CFzOfi0V9agrSIn631NUBa7rc\nzpmFA6dXi73YZQ6eaF/ZQVos/Mx6y8lVYD0eA3RHk81XIFkFnEcJy1FxG0j5afSCobRq3BqD\nQRogHxTtHPwUc8aKOC/c0i4okJ4Qt4/22eZKkFrh/Q4DpAUoVd9oNY9rjD76n9xyJCfFJPo1\nYd0ex2xUQuVtIP0blqkhyXrwHox4HMfMPsznQzaQ6khjOAHp4G2WA9w2ZOyaJFz5fyYgCXpT\nAU76xhbzu8WZhh4mCe8VSDNRagG2RoC01AWkyjj93mKxBdXLJZaoipgp+4P0IQJpvACpKAkI\nER09UE6lIgqk0eEorm6wBOkVh6LhImUEDXt5VR7Z3ltELr+vs8dkCK6huTJt2LO4kHuYMr4s\nQD5AY9Tw0wisOl4/uZW/SIopi3vB2LW2jPdUlWxmoIN/swbEI+g9GJ43Fs0m8ot91o7ki35Z\nVis4ivc3jtzis7KjQdzoZOFO8ROetQwX88mU/iDhOVL/U/h/Z0hnMAqSsIgtcXDpnA1fsadw\nOszvFUjO4R9VAfjsEo9YW8QzvSvqOfPFiz1hA+kdCDQ8l1Su7KOwJ8lQOba8YivS69PjfiC9\nJr+JNzz6NRaFv/bjWJW5Mja2Ba4ycN0ACZlUxqrhpzgKsv/ZLew6KYLUB3oOJU5wdrWxgXT4\nL1YflqKGrjCM7UeP9AICpA5kn6S99Ko7hPE7soWDRHOSumuK8Oci8WzDhQ0k2flB+Kjv+d3i\n7ar5sYXRXzOlmWAGTrqyVjxMlzjs082Gl/mDBIMkrJO9XEIgqgE8Q0HaKUBqjnrOd2JUte0j\ns3EAF/294QyQRqooBaWhscKO9rKtSK9PnQVIUTgf1+tybtDUY+mPGrBrP942nCdBao5dbK+r\nfbX5yKQyToH0ODKp/OxWazNpgvTikEDrXFMv828GW42O/MXqAXJY5CANFaYDUwWEvbg9Wbp0\nkGvt/dgh7+gCdt9tV5BK02wVU4Q/1w94DjZLLnH3kq2BJTaQvkPfrQ+kaQQksVMz0wGkORyk\ninjJ8AuftVLPM5uqA5SMIlM/UUid90TLf22R4D/FWQrSOn7f/vtfpVTRyxEYpGHSOftlh8oH\nH8iQafyeFUjVHKaCdj0Lf66lIAkvjpLY/nBdzZa/RSBNUJ5bjyGTyi/3DEiJlES/L7ww2FaD\nhcoO0tHdrC4gPyvWDYawvagmZUEB0uu4Rh2f1wvPu804WOHofM4ATe5rU3fqAPeFcJ9cgUGa\nL1199hJfFBFkiF/5e9KplBP2VLy/uU4sTcbEBE4LOgfasgo4wGmPAKkzTVxHVB1uZA0nUz8D\npHZmw2IZqXOsHz4t5bGA/iWlFUjDsZnwaxku1JZUArDUXYKEE9u9Ie2nVW0VRJz0IawegrcN\n58lEXMXx/OKGAsBkjUkAACAASURBVOlrtCyeqEB6FIPkVkY9KSbR7wutB7lmhX/FtsN3dger\ng+tmcZAGs72xVrzNI6Jaw6tkD3mETI6xBvu4HecgbaHJfW2aRkFaJIKgluPp/6Il4uc/JPDl\nH363yHEh1S1ihv9aOvd8gYMm1onH72gIHD45lz+Jc2KQ/lnIBCzOaSFqwHFGi8/sEs/0Zsg7\ncYkE6Wg/fJpIXwtV/a5WWu1hf45BWiJBqupgaf1QgtQYtbSXWw9VSZuzPoJ57XCE7dcGSMgP\n44bKzzEHgTRJWRYKIZvEryRM16akmES/H7Qa5JrNvh0FKS9sZzVJdZ6+fLr/D1hLEQlSGwKS\nmuSvxnO1aL4Y3YLt0H6adouk3j0hPASWxaAg903Si3sPAUlEAaBMyM2B2CLWSZCmxKDKautF\niMgoh4zvxyAzewCHiOwVID1JnN+pavJ13wWyhtolfNQxSMvkDR8lfoYi6ya140uVUSC9hzlf\nIg2X5R3WtRykRRSkDjIOuYpHkHrC7JY4DONrWa+0GEoPn8ao5/IVisoyQHoE8bGZ1vWhSopJ\n9PtBi4Eyqa2TXqUgFYPv2H0RaDOO/QpVOEiWxfcJES5bmSQUV2an33CubxF4sZmY1JitPsN0\nGol+UnhELsG+l3ulX9IeEtO8n4LUEgBnXt10Ucz4J+EanBvEeDPSYRP3GmRkWXBS+kPCp7CE\nLd8KVi04wnaQNdRusaZpikBaLr1AjpA1xIP2KGOlsso98S3M+RK5912OrAQt9QDoS0F6U/rL\nVomjFLtPH8NnxbH98GtZ/roYwraA4QczHoE0Wfk3FYTKZtN+nKbGrqSYRL8/1OkDbk8Pkd/p\ndhrzz2LQn7HbaDOO/cY/lV8RSHVEj6hIih+NloFfq1DC0AICpE3hadBB7AwOzhAmMxyJwU6J\nxfgInOpAgfQ3AekEv1vk/tmRZiKRpYLYRAKSGI1HONSyvwYZWGZYbTVECy/3EuAcZ1mbH/0n\nBUmMII2Rv/xy6Xh7BM+O2UMCJP/6ZQZInTBISyVITxDHRUs9IKwezbHxpvQ9rOS6V2jpE+gn\nK5n59I0EqSjKKFPd2ETsh0Caor7ZB9Dm4b9uD+ekmER/IBSrRJY8dk2BI3j6XlyAdAtnwlvN\nP5UhyOLbSICUmxQjGyO3f1ahPbqSYsK0ifq53KYzzJPUYntagNQRw7VPrPzZX9gRMEUsBWk2\nwCL03+clE71QlB3bJV50uMOuTBgHKdXNNVZDjALJufjt0/AT+4MYI46LAehJBNIKaSs+TMqM\nFxMg+a9UjXGnI072qkDKoswQfhoO/6aiW9IdJUhlXfcKLfWCvunwkP6NfIQXRZ6BJkgoTvgL\nBVJKmd9Y6RAt80iVFHN/b4EiFcAtLfJC+BvQbl4JkXnrFnZnWc2XmEOQxbe9cCPNQUAaK13k\nfkV9p5TY011CV+23b2K3l/uj6DBx5kYq8V4RXPvFgoXtxiA9ChAFaOCbA4DTQl2QdoiPMEgn\n+dvhq3kUXY10XaypzqNVdYxISlucRrcT9eYgbSYZgsLFerKwcBQ09KPsp7TMuMgDHcDFv7wC\n6U0M0jL5hjI7gLQeDqSidXo6yUoR+TyC1Bt6p8VPom+ksf0J5NBUw6iK0xeB9KU6IwX6YI64\nBW0mRZD+gJzlcdfz02LYDShLyZNiJ/Emtr+tgYpsMALpHbG2yUYMGAqkX1DfkSBNp6v2cBJ4\n+7it6vlZYWt7E8O1X0YT7tpDT9oBly1bwhyaieSiBOlVFK6a/KqYIg2l8eqmrouwtnNoJWeA\n9FLAo4VGwEr+FMfJt8N/kPdlgaRu+xABSWTdJOXTlcqrjYkOuB6rO0gb4EBKWr+qi6Qwm0eQ\n+kD7NIBsQN9K/4VAIPVB/l3LFEjJ0QdDzfs2JUWQ/oRU5QPHwhj6HnZSkPowdgOHxq2FCmwQ\nsviKbNp80o+/zHHSkv0z2jYqLWb/k+liI5wE3j4LqPNxnRMgdcAgHZA5y3/EIBXmEzsAy1l+\nLk2gcFk+AFogkO6Xq5A+DoEkN4Sf3FnkURQrHF+KOWAnNBIWsnkEtAgFkuUvf1De9kHiHd0e\n7KkepCookEhh4+Xy/WZyyIO5EXaybeSzHxwjxt9srt4rlvpB+ZSRyNn/W2mfLYIcmnwFD3sj\nkNQgy0GyPpjj/VxeJWmClLKcK0hLRErUWuafJSVI2C9MgWQh0VXUEHoQcIaR8dLs9zPKdFxa\nTKd7UEftCALSBKA1HC+IjdcOeFvogNzgnY7nbkUAXsO5+efSKLsr8orPIB+CjBKkGiR3uaWb\nwr3nLHKEiBUv6QbSaOjJh0G8pI0UA81jyHgYCCSReh9OEnO/UEUF0ht45HYHaRN8zuaTrE9D\npdfGQx5B+pm/1Cnko6xAehQ5NNU0ngm9byYz21YqkJKhGmX/OZB2QPJct928sJfCkLNo0l9K\njPLXo63EoWwdlObzB8tj5X0BUlYSFTBBgjQDPenKiZ2JD5G3MB9NYsgQNMVWP+miWMi1x9O9\nf6Xv3hAMUlG4XQnn5p9Ho+yuyptqjlILqEQS1YE4iZu6KTzNziCQZLakoqSmHdVYvhQfSaZd\nUcILJD8yHh6S7pz/kghSCZL/Pm9F5bz1Gk4AuFyuCTPaAgN92sxfaCQB6XO5h/2QqxuYpS38\nJk7GWmvI+dIOlSYASL1Q8bGf1ZedDLlbnOjn8ipJEaSdwNhph/yIUsug8RlkKystvsEwwFua\nF5OxxmhZ8IHYTXiADCczpI/RSOT72kSA1J2sghoA6c6rAC7h+7i4nolnM3IZOyg3zwfjRVAx\nuEVAOgHEw/yaAZJlLMziCtKtGN5ZTiKPIrk5+4SDe46QyHXUm3TyaOmXiEA6HACkvhIkv0Cq\nSmoArodmBOx3aZzO6JCZeQuHfATZFxwZFEjbOEjH0dzYB1I/s8VXFP4TVHzsF8ONATlCnaS+\nhFRJEiQ+TJxyK523AhqfJiB9IiwUKI/O+nMiw4YFUncBUhZs+mHLJUIj0L5uc+F00olYFxoC\nzvzA1thAuqRAQi5jB6XTwiAMUnG4WAFQ0IEt11iYNNs3Q/53WeXkqZqDw83tNfzHBvSYkSAV\npiDlT4b+mMCX4r1wiETaGAWSFR18WM5IDxCQlkmQcCYMqafUrkItbAbcL+3590NgF5yt/HMd\nTvYFp0v3xAdd/Skt/Q5PsqNobjxfWkDuCwDSx6j42KqZ6nes9X2e+q+BtItPfU6GJXM+YDc0\nWo46fBkxb5mLX3LDWfHotKLVu4tPKfVt7P6zQoI0HMWJPyNAak4WRY0AR2ekuQVwBd/WJbEu\nex2DdKi/+DkIr9FLwO60V20goTiK6xKkpggk9aSu5vB8DxcVTNZZ1aCSSe+Dx9CDl3fp29ho\nL0DqhGtz5FdvKtYC6YickR4g6aqWS5BI9gmhBgqkmgQkafRn5wM7hW7lH/5wWINaFkmQsnoE\nSWwmH0ZD+joJUmrob7bUMlJIYZB+M8iNNb/P1JE03ooqKYK0+4CYD7hU/NoPDScim1MzsaU+\nF6f/2HhGgGStr7tLz7Dz2P3nRxkv8TkKb20t/ImbkUVRY8DRGZns4QCXhZv2a9j75bBcigw8\nhtZrT8IudgYFHdykcd/XZWmfJshJWYFUFQeFWsofIzw41lo2ErWafoRMk0qSPajJ0JG9gLod\nKwDStTbW8v85IuMb9xOQfoCAznYvKpBqoBlBskgF0qnAIG2D3KwfiRH8XoZwZfYI0k4oyn7F\nTyLp549Bqm3Ye3qC5dK12vAHijG/z3TwnwNpv9htyeV8wGFoOBLlaPhEjD1z7CBVRB4rH8pa\nFedwGOpK6dMwDEXl9fUH6UOyk5LZ7g9tgIRcEI7KcXIgTr/1Duxkp5GXBR/WcHDQDena9DRy\nUlZmYQeQaoEEyZr4Jpcg5SFDRw+SC+kX/sxpjVPtFVTmyxhrt/Wo9LLbR6I/fpQgkXIwQi+r\np0B1tA2dzEgheGix/WCp7ZCRL6nWo5Yl8lPP6OCbZ9eu8yk41ehJJEFKhd5RbcMl91UE0hof\nSGa+w/S2nBRUSRCkB6P3CS9OF5COQINmxh6cUC/h/zIHVxrbdFpseFiGKgUSNhqzHdK+PhQF\nE/UToWJNSaLJlYBdlXKKnoUnTWHCJ/lV/PiPaSd+DsB+rD3gT3YCrTUESMgV+6b0wmnsB1KV\nwGV0a4Nwzl2DQRKG75QEpH4kH/lvUIo9jzejC6qFX7TV749J52oK0hYJkl9y0o/9QUpuZIde\nE3gT/SDvDFVJYuel0j0rvVeQjopRFYEkJwn4Hdc2HlwvgRXRu9lwsY82P/n/HEj5RM66iS75\npVLFQIO6yDG5t/DInI3cPpPtkyBZ2xo9Zb7N4zh67pD81ofEWGf1F/7W1ciGy1UA1LlesoGU\nQdp0a2OnAbXm/wyD1JOPIUfRRFSU2kUepDflSq4RclLOIXf8qwQuo1tHhoustmweCqQUZA62\nCcKR2/pqPi16HhsCHlHOflHmtlqKGDkp+4dUa/hXguRXm6ufAqka2oZObkR1rAm495c5FtJz\nkLAVdpkEKRmp9+ms3UeE5dHqDrcMkCzzRR1jdxiDdNiYx0WZIN3/XwPpYbEumeACUhqA+nVR\nStQ+4gmPQcokHqTlkcV3nNym2Yi/zMPShPcxCqvpLwzomUiw0DXelSxjoCzWjOIoSkt7QDaU\nLjy9DySUYuljPgfZgyai4fwiFjXpY2TejobIJay09Ip2AKmeHCJXW9tfKdRW7FkM0mVSDFuA\n9Byu9FUI5Jom0gQplQpAnYZBSn5DgoS9BqU+VZaSqihlQgqj1sTqgCDlAEjH3w0ulr1CrUwv\nuhQyRLp4ROyFWd/TraX4RYUskCzX/WM+kMxYjfsd9rmUkiRISwRIzvU100B0zjpoGdBPgDQL\nbbVnETai0uhzmyRB2oC/zKPS4tsZRQN8KkBKTlYFAiTrndhBqmyAZMWRP672RT/FGdt6cZB+\nsEAqLpzBreDOB1Ua7wbIfF1WglQ5UFI5UdtMgLTQ2uhPo5x//sX889kjmufu4SC1wpFxhdSa\nJnyJryGV+jBHYpCEn+lhAOzsJPWZAqkKmlqngHHy9+qA6a5yA/9cS5Ji2T8ox6wL3kCKOMzY\nGPQ9KZCSowIXdQ0P2jYIpBPG8BNpzgXuR7fsryQIUn6xFh7nkvQsLYTzCZWVI7+/8Kp7HT3T\ns4p4nVxozFopPXDW4y/zmHygvUtASiMWzjgdCgVJxBPiFFJV5cLjIeQiXVgND/0xSL2hP5th\nfYd1xUWs4M7sqrBEfQRSObmDVJl6I/nUUFo/Jt82dx4fVSAdQCA9EQPYE+4UZOMgIaNJETUA\n3UYgyYX7CBzYex/AO9Ooo7rUQPXFVEZ5BFOCypoUGKR8EJmKd2K8AfejWnmdJ2ENtfy8kZSy\nwmHh5mSFgaj7To6+KB9IL6JN+VPGYzTSfIRlcC3tmQRBKiCW2aNx/j/+XaG4Nw7SbVYLhZZ/\nKkBqhdwyHxLdJi1KmLH+mviW1uEv84R8RGOQPlMgLUEHhQH29xbxhDhcoZoBkjXVL6Juoj2O\nbu0L/aRzgaF6FKS8CqTKaB+ovBywngoMUiOZ5GWy5eP6uLqjAygDmHgJK5sbO31dmNfRaFNf\ncXPT3CIzTMkjolE15bQAT78DgA2dUoMVSI8in1pfHr/fttsPFsonHDnSA44TMUA6h0HK7RQs\nn0/UtsJ52xVIyWKtvDV1jW8Rg3TGAOmm6WKeAWfC81MSBKmgmF2NpHk3PvkHFdK6n4OEczR8\nJszJGKRsIhb2PgTSBmlmWBuBluAnJUjvoLCaAXKpSvLjhRFyJEioZlA1ac54EAXeGkUv2+Hh\ntB8HaazV7eqLi1jempWVJ9AjCKSK0o3tKZwwxVJjubGFbJqF1UvuRwt38RLIJH/6msACjTYN\nlQ3xBgKpn/g1HE+nM/JR7W2AKPu++BD13nIin9pUriA9LCJiUkfiqvMrlQvFGew2NMAhCIM/\nVw+KxADtzAZjSnrISvdYzwBJVU5SOmuYmvaYxr2MJJTEriQI0iMCpGEkSVpZwNbwZ+AmqwFW\njoYBAqSWyP85hxgkUiND1QZp+F6Ll+Bq9/AdtKUzUYIUi/PjCZAsPl/3A0ksZh5E8YJFVTzm\nyxik/ryXjrG6XQNxEctXpbr6nwLIUaOStAxWCpyF3AeS6VpbRL3kPlRWTbwEcgY/c1WspBBI\njdRe2VHzBe5TW5XDcfh4UYB8ZcC/BOlQNdrmQK6AqQyT4aqAubUrycXeBVSnyAfSaTSLTh1L\ni0pZKigeiANQfodwZSQ5YL3jesYTICBI5lCd0SHvnnEDSQ+kQsKbsh1ZGdYgyTOe5wvuGmDl\naBgoaHgW9Z2cIkIgJQJpo5yhrMFL8NPyf99GBrSZEqQYnB/vOgFprmAARVlWl4uZrGiLpqia\ntL2EfYDmcGzGWN2uobhIP/N/ayuQ8iHPpKckhsWJnctUE/n0/8RysKisQNqLyqqJl0DO4Geu\n2EAysjX8bXoE3qfsMp/jqNcSAHlzg38dDRMkq2hgamNLZ1XAYsdVpfnxnNzJM/STGrpOoUdF\nGgg8AguQRgm7nLV/EKFA2m+943qGibc1MrGeMwa4v03jUUFcrcxPSRCkRwUG9UhSfA7SNWv6\n25qvM6sjkAYJv4EWqO/klDsx5610xBull90cnGHEB1IVs2V2lJg+RuNVeQx5tovcw7g0ZnU5\nq8qKnOKKKXtcK+wD9A1/3I+2QGpMQaqjJn3JEUgtVVe9QPxjfeooe1Q3y6OoiWJ3L4q1GsJf\nAfmwXtwjUEEbQk3Ui+02PQLT+HLVIZDqAORJu4e6RAkZIGVHRQN93jq/XmUB1BKEE9QZApJi\n4AQCiS+idrOAekQ8u2qj/YMItZGMQKpvgPR8AJD+MvO3POGQUtn3JpIgSB3F+hEHiIrViTXH\nFiBVk1+P0mABUjM/kFDlxo0y7eMXKAyVnZkpfr6FNljnyY2b/QikmkBAWmIDqYZciTyAQm2M\n9J/lKUif8Cm++fx+WlzEWlX53mes5ZnU3g2ktyRIKAF+UwUS3kydSFDNKLxzCEhGIq6dCCQ5\ncfoc2/paAe+dbcAv99wwZZHMjlyCcxtT1Z+vsQDqLL+pUygOwpfN/hhyG3omwJaVUiEFkvVc\njVQg7VtottQ3Jv7Po43w84aD2G4zf0sxhywYSkkQpMfEA7MOAWkU7xrWHPsFmMeqIJDk+rcJ\negjnkouX09b+4CbpoToFP3HPzhQ/26J9oW/kqmsn+nZriU5vGdGX0j9NkKw1cwmVkLocTlm/\nDSqxEdbzu4m4CDY4qR4SY/kQdVBd9ULAsvFjZZ/vas1ImymQcCq9SST9TyaxqZYa54kwUkP+\naRZoTqMG0mEYpNZiWVoY/HIZDYuS65BsKMrDF/X9Y8Di7V3k3OE4ioPwgbQJfdT85SIqsUDq\nKJaltVB3iFRbYtv8QXoOZRfwgbTL/CRKOORlUkqCIJUX33NtEmk92gbSAJbmprXx/82J5GLK\nZIFUTIJ0ytrW2HRU/JyCjMKpYuWErAoK9Fwm7YBW9zJAsta0MkIHuYPWlI/rLMi79EkFUlns\nlboTSvIFnOlA21RcBBuclFUwxvIcM0A6HxCkL6XF7T3LptlMQYBT6U3mr2Ct4wuLvYDUuHqH\nkfX7D/OdplUD6TDsa9tGxFA9Dn5P8c9VnHw2lJTuCWPre9ntVMxfXaRZ6Efszb9aPUjWoUxR\nL9DlJ1JXBZLVHSLVZO0HK6lZU8M3vBUC6YLh6rXDtA6VdM3smgRBeld8z7VIgOgG/jFbc+wX\nxVTiqrXxv06EbldBy9GK8nF53LLGbpaOdZPR3lR6ZW2tggI9d0qQfkcg1aYgrbCB1EN+MymP\nWwk8S6pdp7J423YnPMnfjTlh5CBFIg/OekZcT7S1D2TUVj2PS6mZ8oFkzkibGyChidEUwKnz\nygujSyqcmbaleub8aqaOeEzxPxSD1BYOJBepxOyZfj5XE8KH0H8UNUxqE3DNJFMKpCnYkHlE\ngbQWZX0UIAUuFtFNfJk1UXeIUuaDH6x9tk9NkCxvYB9Iv5sglaLZPW1KgiB1ESDVQFYhYdKh\nIPEh66oVzvmnACkVmi9VliAdsbrrZjmJmIQsCxkVSJXRh7tLOnqvQZ6tdcTrWmtaGaGDasyO\nUCF9GyyQSit31DJ4ErGLg1TTcpxrBnADecLWN0iOsjKRvOkOkvBOf8+akT6jRhOck/ILfpvW\nLlsFBRKKYHxPgbTQBKm4DyRk6+4O28RC36849XAfSFagelFjVB0Z0GP/PenmNxlHHh/1B+lF\nF5CqC5AsT/Eo9co/WF/vKGO4a4m8gS8aJ2w1r1rapWJHkgSpq9iBro6sQmKXHSe0ehdaMXbF\nKmS0S/SIlGjoqCNXwgesZYECqSeyLGRSk62nUDTALjlqLAIrKE+CZE3FZYQO+rZ9IFluyE3V\nhkZJHK8qQKph2Xb7AUwlIKkndaTVL99US+ZzUbbE41JTJUhdrCHvGfUOdiOnuK/4bVrJeyuI\nfZiUEGG5oXVVdpnvzBwsJcQHagNpssjjVBD8crAPV5/qg4iwYkY206EOIInlzSQc53XU8BZH\n6VMFSPtZIL0vQKqB3Eei1TNnhfUk9YH0rAVSyigjavAXMxqlzH8NpG5iBlYNzynSU5DmCaep\nK1bc+N8CpBRo6HhTUviz9UjfIw2t7yPLQiYVLlEJ5dLaLUFaiDLR1KUgbRd/IqPeCJX2ZP1M\ns6W52qnKirNa7+bfbg0rWfc02NcH+es0MAwgEf4g4e1jU1Plk721BVILlXUMg7SZ36aVc7Si\nACnZWZQnopsCaYEJ0pMKpCE4l8QcAdL9l/zCC8f4QLKG5saGy1OXgB77HxkgoTgvAyTsLS6K\nMN5ggfS+ePzVQIbOaOUXssJ6Go02LBnPWqik8YUMf28+X8u6FGNLkiB9IDZJqmDzWD4gPm9f\niyHrshWlt0c8ypIjkDpKkFZa6+uTEqRuCKTManpTCe23/iV9Gr5DmWgkSOZqQ46LOEBtpKJw\nveVj8Yzq/FmQD1Dm6xfT8vF1je/v6bC0QyCQLKfzvj6QsH+hT1Ple2ho2UieVT5qu5B36QF+\nm1Y2MwkSn5ZaluH3lUl/vpn3uIxy5yQgfS1no3+h7Tql79ULZTI8vtW7Vt7sgUEaKe2SE3Ea\nlWNqh+83NIt+l9/zTRZIHwjDSnUEkhHzutzadxptPGVbWNnD0voK+i02u0W5/xpIHwrjWmk8\nORfFl9HUQObfvRxldngJUjI0dHSSC6wfLZDOGSDVMFseVX2nPLIG/b1UXdwyPUkHUzOONJ0E\nCaWXHqnMa+us/aoWCqTMKINCftGnq2GQljyD9h6fM9xywq04xQGqP58NUHdSDGhindcAgyQ7\nz88IpDMEpEpyUMEgfaCeHt+aVaSfVR9GfxyPuE0uIncBSRrJtdN4ocsWSC2M4nmdA4a+LJUg\nTcA1XAyQViHfja9dQKoi5piWH5aRhWG5tSocY4D0jFXcJr3PsW6x2S3+CyCVwnbTHnKgvoVW\n9dKtxpoafCOcpi5ZsSf/yGkNAUkMNz+Y+4NZlGNeVwRSKeUKnBdZg/ZI54A5KO6/fgCQjlq3\nNSpWbhKvs4r8tVDvOxNK61FAoFcM1vr+ngHfl4bD5jqsgwHSbauAykAF0insnWZqn9xBamB5\nu7RUC5OhaJ/oPL/N6+b+dSUZYbUCxRp2VzZtVR5FXUN+GNUxSHvkIvJnP5D2+UCyorCeNZ7+\ngUH6TTp7TUBGVXbaH6Rv+T1HBnrDbJl4x+liLJCMvetlGCRliapluaVm8DnWLTJnFI1dClYn\nEZCKkFoKPaQTw00Eklg9o6nBt6IbXbJc5vdK/9NYy+L7luyKK0yL70NqYvAe2jQq5w9SmETm\nM+RmUp8sijhIS6YBShY+Kkr+QrmxnlUnZ0I2JglSphhzT4uDVAKFC71ldD6r8BQbpNb8s7BT\njanz8vj6VrdsqT7qIRZI6W7DehTN/pQ0YWKQeqiR9GsTpFaq6EpVHNi7R06PBwDJdce131iM\nXbKisJ5VSywSk2JJgTQe+fgki1Xhur+i+LD54qMOaJ5eKzctrlkOjUaCrWXWqnCsYUkpZkUc\nZTJBMh+ELyZ5kDKvJal7PpIg3UBxAdI3x5oazBdOUxctT9+9cvM6xsrl8ZbsissRSPJir6Cg\nlvKq7+RBVvZwSWIf5N7TTLyuudNZGmDyW7gswmgFEkrp01KBlBElMCooJ4NXTMvBb7AgA/Kp\nHmysK25argiDI6Un0xfYqcbUBYlXeatbtvIDKSfAN2AtuxtKE+ZyBEl/NWn82rRPBgLpH7mp\n/Jlf9hMfSBet76el0X/fCQjSanmv45ATcirDN+8XBNIC8VEHLK22VvoVXjO/3SzgD5LxTRe1\nQMrsG7MXmU6IbUgdXbuSAkiFwQaS+J6vo1KWEiRrajBffLQ/WC+xT3ZClBTnPQWSWTk5mwpi\nbYT85iqoWQAGKUIuS3sj9x7hmWS5gL0AMLETXLes46NlLni21nKKa6XozoBiawrKTN9XzLi2\nS9AhBQJpvAHSQctVfYha203BTjWmVDhCQQukrordwVZOSg7SuFhr2f2KHFqWo6DdKcrncJ5p\nn3xOfRhVcGDvEfk5fIqTv0gdMD6Pi9bqv6WRtPlt7IJlao30e0WhjWa2YVzBYKH4qOuzAFon\n/VGumt0hn7EjtdQCaZwxiX/CGBqZwM0AaaEZqNkG+5v4KSmAVARIDqye8nu+hnJ/SCc3a2qw\nQBjWZljW4X1yWmQlxeGPedFRZyKQ5IS+IdoUrKj6Tm60XRUpn5O90Mc9Tryu+X29CDChI6Al\n1BgF0lILpG5qvnk/SmD0iFwmXzb9ZS/Dq8lRzuLxxt7LbmtiOlTtkE0JUFJcDMRiuC5gPd8/\n9AMpF0Db8xZIb8tnBQZpqrqZua4gXZcjcz+4ZIX4SB0wDCUXLJBaGXU/3grYF3fJd4hCG1la\nA6SfUFrq6JL95QAAIABJREFUReKjDujCs07GXl01u0MhH0iWeWWcYVYqgkEyXL0XmuGLL7ll\neEsSILWhKaYVSFdReMpW8SlbU4MFogfMsIKL9kuLl5UUx/B1GWvuS2RXttqGyERXUc2hMUgq\n30xXEuoHf1hZCzhIb7YDlPFpjMwFz6ZYTnEfKZDSo7wrMgqAgNSOIZAmGHuJu6zxdJh65k/x\nz7vNdfG6MFYikHqoQXCQtZtZii/BdlmB24Pk7vAy1E+mq+Fxjmnof149vivj4KNbcqisBfZR\nxpfX+IK1+n/OMJZ1won1TZ2S/ReFNnKQlLf4lwikjeIrHsgCaL3E9IrZHeoau91LrG3C8QZI\nmX02b+FKbDgJfmcGar4EgXa4fUoKIH0EpLLOx/J7vmzZmZNJc5kVVfqdAGm6NfM5LkGKsJIt\nDJcgjbGDVB+Ft1ZS+1K5UTSAyoDWFj0XJ0NsMyu+joNUvwagRDW/KZAmWyB9rP43HcqgJqMA\n2DnTln2Zzy9jMEjKVLXTegx8/rfx4oGKfl+SnS+/ZSMx2B0Yaa6o+D1m3GkZggfJR8ZYlKF8\nlgJpnGnof14NKZWxP1y4HM/5ujA/vYF/DbPJYSt45DmD2o4BQTotHeFaIatOOuO7nIQCRXaK\nrzhgnrv1N8QT84q5o13PB5JlLR9vMJUeg2TUCPnODNRM+iD1BLiNjp8rx5qLlgtQcgmS5aS6\nXqySp5uTl3QxcjPzgJVsYZa0io2K9XXeHGob/jHkX1xJDTy5UGLFaDm/bINSZHwBaxuDadPl\nA2f9QoDyaxxUaVoHWo/GXmq8Sn4FgyTo3WyCdIV/YdGWnXlipBrhdqLHgAJpoCtIpiNETwMk\n65I14UKyH60c94MlSB3Q8+ErtdXbz3xnrZWNrzLyRUwZJYe4J8EOx7/G0LnZWsM+b3wVHUih\nWp/OSJDqIkOmLwn3RATSfvEVT2EBpJKoXTZB8iVcWmJlm55w2Xfh531NWX1cLDCtrm0hkHO6\nT0kBJOGtjAJ4NkmfhfMWSCkkSNaGxg5ht51mPnMfVb3qe2vp+qMEaYTZUXKo3d1HEEjV1Sum\nvmFZy9RG3wvWPJt9C8s5SD5TFgepXjZ8p4fUV/mBBVJvY+J33Hq2PipDgzBI5dl2BJJhcNph\nPQZGKDtho0AgJb8q3+XD1jsxBsEBlsWtFfzI/zQnl0PkaiEgSD77ZGtlGH4KrUMLqaqX6f1M\naf8a23WbrDVsawOk9gHt12fk5LUuKpfoG7AnWEO5+ortfn1SqoTNcXP/oIHh2Tc/wjxkwiXf\nhc2EgQV9JroFZs7ptshnxV9JAaQrQNLKbz4qfm63NmzUp2xd8rCoDz/NzP/xmEqrtjjKPGGl\nnNj3MB+wOZW/UUEU3trWAOKC2SMzKdPh89ZTjf0EyxqBuQIfA1CX3UCx14fU3PEDy4OirzF7\nOGbNe14GYQrZZAb4XonJwBcsZq/3gfSnlXNlpAKpId7C9KmCSrSYLtp8J5/4QDINBR1hMutv\nzYSHSFf09sgh3UhK2xeBJD/+p9D06zG1NkwVYU+jf9AHkhXF8KFha38jkLUg5+3r4ourg5LV\npDdm8uMtkKQTGEy3nyy0WYK02cwL1tAwwgy1vm/f0JbWAqmiD6T5ph/8y8iL0l9JAKRMIhs2\nio7cLFdHGy1/gZQKJNNKd1vUh59q9ujH1PRscbR5wsoI0VM6mvuvOVV2jgIIpFeMXnTe9EQq\noPYnWqKkcz/DsoZW+o9vIboAu4bqrxxWBL1vgdTPmD0csVw935NJyjeZG6RXzwsrpAnSJMNy\nu8zKuTLBBxIKJPHJl/o3wnwnxmzyMwukTjCJ34gJ0lC5WmiPxrfZyk7TxxxcX1AfRiX0io8b\nZv/jKP2l1MGZ6vfGNWZTT+PNvRIolalRn74OysCc3sivPs4aygvIb3gt89f9MdIjb6PpWtnI\nAGmI9X1PNPpKWuu7q+R7NGOQULEdPyUBkGqIzxAV3d4iJ3EIpFQKJNNKFy5Aet1k73GVyGmR\n9cH+dEHdhA+kXCouugByhPWBdM50GXtcmVWrIS+LA/BFrhhzBf4t3GIUJGVy7malKuhvZBc/\nZEVWdJWP9A1mYMXVc2JfzOz1k4z93u+sB7bhjdmAZNgzVMXY1wk330nvS9I/4TPL4jaUL9p7\nWUkbhsrtmfbIIT0ASPnFr0rIhFnY2Ig+5geSETi10cpc8rHhMlCFJKwxVEGBVButcR82XBE/\nt4rJKZBIFTdDD4BEaJ3p4NrYmGgMijGPmWSEcAYC6Vvzg30FAlzeVBIASYSi4DxsW+RXtMFy\nIbjvf+S9dZxV1Rf3f+gUJKRRpERQWiQVxQABQVAxUMKmlC5pJCQM7AKRllZCQlC6pESlhw6V\nbpjZz9l7rfVZ+869gs8L/T4//O0/ZJy5M/fcc/Z77xWftXYikM7bW1gXH/wWmjST9MZ+t4Eu\nQvzkXLTU5vNAasw50UOQjD1IIBX3lNuHzfPBeXjQEyxIx7y9cye5bR5I/TnUuGUEvtXaHR7+\nmaSwythjGaZoo5aPWE3+taYXZ2zg6/EqNmRU4XOGFKTudJ96a8TtbfNuuK/iGK433ZR63itL\n4aOkusGefoos0vJeH4aqrFBfmiiUluUUl/J6IHVlM6rU3wSpJD/t11SWey894hhdGzJTs9cF\nAKkWg9TXA4kdqNTsPgU4oTMIBkO+3igh+q/r+A+A9G6kki5Y4Xb4RXq8Xk26y6gquGht6zr4\n4EXIR56o92mOW7Y1iFSE3I3UF1VR3pgN5oOYJzVo07jdUyX8HrpN5xF8mGDlyUe9BtJxVE/T\n+gICecM56bRez35o4zy4DwWku8xBm31E0F1AmqDpxZk0hR+IDRIlbs8CpB60c/dSkN4P78cj\n2m5xmIu8PO+tD/MJpNchmXmKLNJy3q5Vm7VB73n1C3bcKsmexdq5REDKG9Gwhkd5Orn3Xq8D\ncyl2ZV5TWW49esR3J/5tG35zIE3HSSK1ufFLL33eChKsiYriAL6BJjmNlLwY49oH6aY/7C30\nEkkE0g8KEt9lyRslvWRtnjq469xwe6LBL8xxk0BBqsxJlHMKUhM2mPdhnjxEYdXbvUv5PZz+\nZ5Gb+JpA0lhEHC12r6k6bwQvu9/r2Q9t3cx7V0C624I0SZf+j9kqGa9aucuBdBdHts7ik/QX\nkNCTclY4nepoFcoUB1JTo00hFtPTeRkgPU0g+X0YHjak0B6WKAJQNAZIr3MQMk9Ewxoe5Y2r\ng60UARLdw1dVllufHnHP6N/PatxEGI503sMMUnsF6SOuEEylIFWSh9IXGqfGavvHGNc+SJXc\nLfSOrlmx0P73K23fzndZtu0bnfPwMLyOW8n7/FpN4LkOJI3GVuGqwHOqKG/FIK1Ggp5Bui0C\npJuDTSBnojlqJToai9g1nv8UtDxfskc9X92bti6B0kkaQN5tTf6JuvSP5sV0vEp8ZhFI9/uH\nBcq4i5voKUhfUHSzk4L0XegU3alFJdNcHqeR18Zy+X63G6sa+mkKDGf2dq06DMy7iXr5F5XE\n2yJtASRB/zwRDWt4VDDuhUlOnUA6tDRAQhKZH3GMPkJZSSb8xXGJFIgp8oIunAoSXO1Kcj/6\noA64k4b5YoxrHyQyj71zclcutP8driA9SndZ3Kh87sCIhyGcK0q3YIIHktP+v4B+DHexHPKs\ngtSPX70KScCa5Ljk95j+w2QK1mPST7RdtL72YhEMUkttBTFSQNIGRu3cAgqQqtqW8B8oSD8w\nSONU4jOb1tD7YoF0N4N0Bl1kRxBI5XVbnBN+2qKadvvGLcQNPZBopQqeRCSRMyyZvHrEOgzM\nu1ok78blQModGyTauk7qlCiN+iXIL/gRf5P4t+026bbcz2HZxwDpYz5zM6WCVFlA6o064B7e\necHR49oHqb+7hRrmuu6Me3RfnEUjtMfpLouDfrPL7dVGk9+i5KOO1+jmagfS8x5IlFU8oQ9K\nQFqJjE8tIjWt1lCnjD9mVeYyu6bYo62+9CbLbmqG01xB+ooN8nlakN7ePaCOom93Pcv7qg21\nhxfTsWjpE8wmgKp5nYAwqjMPJ/GzkZS4vlMTxXNN1dArRPnDbAdSXa8fLK1UHkivE0j+MeN1\n2cl6x2hi3I5icnSrB1J3zp7lihWwb89B7ZOavigDkDB3GxrzxsaI8mMZ2aiU8hPI5+tySOIF\nfd6TuUY5pcasKovP2Asg9Y7x13VcoyDVbQIHfZCJqPoJstMa+JnKLhsYsy8CJKtSeQClF8Uo\nIj1e821xbjmujqT8g4xUnPbW6c/r2UqU9Nemp5BaeyumNUes9ka0LSfsJP7SaN+s3fTKV9RH\nHnVFkO6xicnWCtJeXkzHwAIJviM+Y4L0HIN0BD8bTRO9nIK0KLTlMmj5wyZn0WT1QaJN5gnU\nLPWkW5fspMp4OnDYb4g5ryrdwN5sjmJ4Jy/35uxZrlg+Tj/e0k74IJEKq5X2i33NmIen/wVI\nbo39KAqk51WwOItBSqEgVZF0QA8889769GOMaxOkZEfVbhnsQNoDHVQOssoH6b7/hDE37tW+\n8Pld5OoWRL6KUWp2kCpAdrnV8h7UtzzP3tJ6fVD92VVdgahsbXLCUupp4jntMXNv4HTm83Yh\nHaEgJTs/hj8sQBrNsda5qmfq4J57RykUcec6NVFnZC+3pBqNhTNYS+0b7o0F0vMcRPsV2ZEx\nce6fcqoNiTPZg6TaX+VXV+yR1dPfxNHUboDK+768Bv2uIH3OUDSNOEXT3myOqw+Pw/dG8J3P\nGdUEL7ArFt1hD6SyXOLQUrV9rY2pOdXvNIGRnT7xMMjnFSQk42bzTUyhaYUq8tNuwKfPfxCk\nG42BdmooGW7I9eegO9eBi1wCe8MvZthlEFwo4Bzpwlj+bqNOxM2gSUx2ylXJVQVIL3D8zgNJ\n8uLL4UtzTzqvP14lC5IegHXBRr5HqFw0Hwe2HtZWEGNigVTe/ZdButeuII3VGdnHTRL761Pe\nTl7IPZ6oxvtrZHj+hOzI2Dj3zx0+SNmCJNpf5TenScvigXScShIaoMPBSLaSDuuJ7p9zzKVx\nxFF79mb35BeohGskc5jD754pYwC7v8cVyLKc1PZAamcSMg6JaIghIwclsjoBpEf4t5/XFLSA\nlFzbVt8lcsaueOZ9da2KMa5NkKp5IK0kkLC8sDCuvSkr3+lqToSzAyAVdP2lCiNT0ohUd40A\nUhqyBu5GB68XOTW7Tlc8UWotRZ1LHU4PHoKxV9n8EXjyz4tWRj1cQbqdjwOuriCN5bk/Rzsd\ndHTPvY0kyu614eRGHkgcRfYMeIB0KlobNog/9RqYwmPpM92hddR77NRXW3mz06hn9hrUnaDP\n/DgVmAc2Q0sgHVKQvuB1PzSrvSM8fJA0Yf4Vf5nDa9GFMYB337UKUj22KVtouHO4uWQ3P/KL\nr/N7qDBIHRHhe5RBek5B+o5Xo+SwHkKQuAi5M0IM/0WQwnUOca1tUSC5IKgH0qfh8jrSIErn\nzk8KbWcpA+NXNkK5SRqaNHfhhDYRC3kgjWbt8GKAVJdB2o7AsQOpD84ru2QNRA+k4tx19V7t\nqTJOQFIPvZMzPGuI1VPNFsw+q179fhYI9FKQdpA7X9XEqJ8ZzP78arz8W/pMZeHwpEqIC/8b\njwr5LW4mxQDpMRSMjOLISwRIdPuzGP+IGrt6sIjvM83zjYqjf7N757tjDGR/cIwm1J+IBmmk\nOejOunY/eN3vpZeTNErtcQBCSxZZeiDN4cBHco241pT+Mq0uyLfe+A+C1N2oDb+DQMJdyUXl\nd+30dMcJZo2VXgtIZchNSRBnhY3AZ8FiWnqgVRBkfol1/mvjcAWTeaFahOhuXV56t6GRbhUr\nte6DY+jjbUR1uKqhSxhKu96iIC1mt2a8lnR0cjPgQakieNAars9occ7+hfRvT20zuoM2nbti\ngTSU3YuVWBKWUHiuLNTdaZ0mZyc2jK2ufV0mL7F6kszZxyDSGM0gHVRRx3C2rDNFqLcsSJyo\n+EwbdLKbJq0xIsebDNJXCtKTDJIf7jQ/29WVnlOvk1o8GW6B7mG2hcaxFZcaPqdajjnc9j2Z\nFlQ+IQ39GyN71E/jOTHGtQnSVE+osCuRzIpjP231DJavzYpgiPZ1qE1J+gRRyXSksMQzmErp\naNWsjNjYy7w8rdSNYjJ3R/xhoXznEQEJRqcDqTdASrBhol4GooWShoRAN2vt20oOoQzVIuoJ\nbkG4Xw5Lf9OaP08rSAe4Tq6nZkV2EkjpzpqIeJkbo7jwcwVAWkqbYBnEXtI5Tc6v6P64zc2f\n66NBehTipzH85gfVNBvOQdPrIw7/syDxXP1U26SydRmCFKPEdRAvZyM1Citx90Qg3RrOAvck\n+/itMZsQSK0xQV5lp62pgrSKFVnJNB35tNxPFQb10wxDjHFtgmS7mXB720KXCCR0kGGpdisf\npLFB6QRJYIQz3hl18VIp1pEeUUMc5cMg5QFIr3DjgdkK0hR++POgdKnPD2grjM67bHFbbw4p\n2J4iye2bo7lCSTb68ilIaxikwVpp84MD6T4BaahNaFbQPsgHOIHWQ7MiOzkudjIGSN8wSMvi\n5DtcqVoagcDrnCZnY4L4FNudz3e9d9DLKYqjlYP4aQxTd0B1dSN4smdQ39SN4gBJu/mN43t5\nQyJdnhuDWA41UpOlIqlo5uUNzCy7+dE2uNw7WCTceBzdr2KevxYN0k4GKanG358RAZFKVfvH\nbtLP49oEaX54z7gH2lPEkeb6c9Odf0Qr6GZZZ2QtTudqQpbwJSnO7kQGQUN0H01PC5OePNKM\nQRqnkaaprLb+FGy9ww9oC3JAd1m/opdoZPIbawDVVZBKuaCHrQpAhfValscN0hIl6t1RTGoi\n3rI1O+W0g/FBdl26a/A+rif9e9JrDyHjGw6g0Mlpdiwja7I04he3mSXuhdKD8oSLQmb0Olsy\nSCUhfhrLIcN9Wus9UWIDRyPlCsXFDemt1ut4dtiyxqoVH8ogfakm4lMcGIkAqZ/d/MgxW+/H\nK1+gUOBLyDm15itrqqKoXezGJlXNO/h5Flv9AFVhxRjXJEhJ7CHHLPTqG365d7XROBb3I6mr\nhT/nrDm1Ekvqq2RsXBSQOpPJ/TSiuVkFJElrDGBqx3ogcVTrY/gSH7ERPxd+fB0CiUPZIUju\nslAyXZrlGB5I6xmkN7WyYvEFeytuEfXL21aqfoeWsB3kqHQbbSggIJ3w2kPI+JZ37gVx8p3l\ntAmWQvyilBO3TZOoVTIK52fQJi4pzhFIJSBEEJD2aEDid+m/eShSAFdapIgdFaR5AClG5msd\n25wjFCRpMFdbw52jQysj6TYW223wO/e/RCDWguHehudWEwVpN4OURCMqjcWiexbKsU+9rs7R\n45oEKY1ny70RfjmjwjGNY+WhO19HvaaLtu3BSiM1pHy8zwURhnamjlZPIZpbklZNPXlkMHdv\nGK3FgtM48/8Rgk8fM0gzEeZpaHMvPQSkAibeXZYHEq1/N6rxs55zUAPQUi9Y6nyJwgrSSzYy\nAIPy0CfyXrDjdnFcLDZIpNYYi410Bd2WvHC7SruM8lTJo6SmBLMHUi4+frc4gsXjOJ7lnY6M\njtC7Ih2f9mJAd1A3cAVzmObYnCBq/MrVgsN9kCgQeL+XgLPm+kLjTrotdNAc1+4KL1PiQE82\nbctX9qxGo/ZKYHUPHNgmAtIzsJm9SpUY45oEqZQFiVtjhXcvRGSjut8M0sMaC7toV8EVaHna\nhh7JOQGpCy2eTyIIVYpWzdTnJRorbVBG6QkW01nh8iFA+oRNhhkI8zS2IFWR7tfVjM3h1tG4\nfRk2jfJql68NvHq30RjcchfdKijLwDu25LuYgVDtEFtDDdWO28Ue83Ftyowxg8VOCtJKIvQ6\nUFHGhRWmSIY7DYF0ncEOkpvTPcXRWHk8x7N26slfRwSkBZ5zFdhVi7MSHkgrJZm8Ym4QNTbz\nvveFqg4a8l5ynz7iBRakCcacyGyfp/E+eTNaOh7CatWf9+6KerztvhH8xRYcA9dUnuIzUI55\ntZMxxjUJktP6coToZ2ObXqzXVFpeWsJqaxvji/YmrkDL07aUfjgrClRu/3EPglCleYYcl2js\nEI5sjFSZyje8sbwPkfmnDNK3AKmp1aeVEflnbWNTT9n1ePCy7Kzn8UDir1rq0cMr3BvcJNq3\nd+0vXW9w6ONhDuI/rb37d/8NkMbASF1FFm56UHGHs28mSz4hDfmW6X2QKGyjJYzjOZ71mw8S\ngz3PqKgusLOcBScdTsEWXSkJGtVb6djK0dbPFKRGHCaopiCtsDGY1uFUKGKfp1GrLWhOINUA\nSF8wweWll2oQ7B/BX2wGSG2kx1BDOJ9fe6eDRo//NUhJ8t/3yCP3xmqW7o8rgOROl+BZvsmV\nx67TKvAHaGeppW2ML1lylqPlaTvynk4DJJoiZRCEKsNUHpcgkhxuOkLPaNjAIA1DOuQzpuwb\n1H+1tyCVNgly+I5zVg2asdVjcnOrF7Gd44ReO/mVDqRUF9jTHWZJyGhkxiY5zpP5Kc1I7+a4\n2DHvXAwZ81g1qCCtpuBHOlBRzvX/+kDmYloKgaUz2EGkKaaWME7geNaPCtLReObks0gBHEBq\nj75IwSoBSfVWOraztvRTDaN3Z8jv1XDnZgvSq8Zlf1+PqPBrQUtHdaQRh/OKcKeCdFBqBzZL\nqiIYcI6/aAjnc6J38Hv0+N+ClGnwIYqx7eoWbb974woguTM8OGT5i7EZoh8NsmWsAa2pJzpc\nsoGJ0dgK2lM875T4TK+TdVYaIJVlh+uYFO0N5ezccD2j4RcOvr0DkD5nkD5A4mEQgcRQ1Cfb\n0iCc+jiDlEtBOsoloj5IdHVneK4OsyRkMHI2GTaSpzSYu4fjYseib2LScxzYGAWQ1pCiKS2o\neNRZyf1FkHBzFEgF2Wu5DTqACUy5d2TaMcHn00iQuoqWuL3Wia+WZ7fs+yBq7OSoxycKUk9e\nNIopSCfsLlmCQJoY/qNEt6Cl40EFiZ29cnpGFEDagDKtAZJHexpp7Ul6vFuMcbUgJXnsm7U/\n07jyi3PuMFuG92zfvs+YfWZdpsu88O+ARHnP644Ys7V8MF2f88sEUmlo6a5LsOHSLgBpAIG0\nX0DqRoG30ojm3sE5lWMSjX2LQRrqgcSW/1vIK35xkYyZwQliVA+2NQulpfv10yRfS0A4tQE7\nZbm0y9cxblrgncuwkq7uFIP0niXhOphLN4hJ+ySsmRsvMhIxQEoujU9HImyyhhzBNKCC9Ef9\nBKSiVBaSOgE76b0MUk7oAL5mkH7wQBLFxydGIzSBB1I7BWkNQIosAnRjL4P0kYZkenGi4SZo\nlJKcss0AbHO7onRUr54N+qmAJOVnAtIdCtIhAek7lMAMFC/VAylWty+MqwWpnTGnj9G48os/\nuyBuSLJmEBbEGlcAyZpzVIofFAq/amFvM0B6hfLd+dFMuIKxIHU2+3mP/pJStcvlKN9u9KQL\neyDRZR6VotC3+aH30DMafmVFXV801RjOqrdBIi4JXatmLjBCULSm8J2C1IjnQU4F6UQ0SKsI\npD/ZDXnfkpDeyLWXlSDLE5C0weI6Gn0acwrDbsUIzO44Dk0eEiqauExCO/E/inNCeTFyxNUY\npNTQAXzNH90D6bhEoD+OVCq9LgIFD6SfROu+dH0QNRJY0dPJB4me5I1wg3O4DFKucC5UCkra\nDL1uHnPog2j5mYBU1gNJVBuzFSTxfZ9GOFRPSoo1rhakPbPzX/lFMg54R1x7yc3ocQWQzjvz\n0OlACodfNHfHh8gPX6GwZmqIUqlrcDPoWhmkyWLy9qUruQ5tNh/mnMMRgMTtTLupTOU31nh3\nRFR4xEL6dxCOFB5i/85NFzi12YZOe76EvEQ3BimH+ncnuR9VMz2SbxVtRRu3ysWH8yLpEZEh\n3SFh/wYogygu3s7RyEogO1LaHpV2DEcLAzkidK+A9JLbj5uI9L0kg7TAA4niaKnRRHIiB0C9\nYr0TAtJHJiIK74GEziXoErs0sprWjuukC39dBak3+/83ondULgdS1nAudHSeklfnOZd2tIoA\naQQ/sTLQJHsgQRLxpuiBnkI4dIoe+BFjXC1IF+688mv0xSpqDHqc/+vXXQmkCw4k9yBuMe7k\no67mmMwMOm4vSIoKulrOSn8AutaRRNokMfU+p8eXHm1JnmR1EUB6h/Ojr3sgccanA0D6ciH9\n2xX+zTAH5C6G4nXKbJ4HSN05cZVNQTrFIDVSkNaTubOBY4GzXO5kj6zh5SQR3QBlEIhKH9H4\nroyUcmDxp5ge0gZlj2wvPZ030VhOn7iPDbjv0db0PgYpFUCaFAMkERd8aHTlD+zqwZt6WwVp\nrYC0JMIKdKOkHPNZRw+n6s0R6bxoypybZsNBE352dyiV+hlzaXMviNjTCLYhSitIh2WBnyXq\nl+BN0QM1UJAi4viJx1XvSOWv/BqMuPH69dQY1YwYVwDpogPJ3eBKVNPX1EDI0JyWsCQQ+NQ2\nNk9xqxF3fCTd2klyq0bEuX/SASSRoPwp1dXvsNnaVatuN3MdbAdEhUcukGsXs2y662UdJ24J\nyT7PIMHXg6UUSU6jMPQM9+ythsNQssSTA76Bf+07Z7iul1ldTiRyj6OlTwlxmxZpJ2sZqQSk\nbiBVQNot6pjejr9G0qL4Ce7W4oPUkv9YT/4OQBKLM7ghXkB62URcRjdxM70WQOvEF13inQvK\no5SApM1qgj58L/KixXFuc9guTyusc/SemxxosDyX1rX8+I6AVEpPXo4B0iDRA9XDhjpVT+uO\nMa4WpDdjKN//cryd0I4NznS9tC4nxvhbIDknMvTRtiezlghqU1rwJDRv8jdq28Y71plid5wF\n+RMFpB8J6bToSiASlD/FYn4vjv7trFW3W/mWt4dv9hWDpO3wvnFwx/G8+4pszU0Aqac8yRMA\n6Swf53APtr5cLNVbz9ryFU5xsFCOt71ThLWVEZkHSF/6fZxppDbsQ3dF2ERaRe6WT9/H4d9I\noxjyGAKUAAAgAElEQVTUxmw+fOD7+QOlhDJtMqutpgGkfFD71Ig8Ba67vHEdBWm97MiL9weJ\nB1xMbVYTXiFt6tpQMg/Vxi435uL2NW5yoCfaPEqm3wxL/0sGqaQHklT/zkKbAIBUEdm4pSh9\njjWuFqT0s0c/eGtBN6784uvXmBPzhg97b8SC0+bHy6FyBZBI8O0KezoY91hv8UGiJczIOd+v\nOZAKoMJsBvkOX4sVvJS+SHpMkgjPMkh/SFfdb9iS6qQgXWRrWkEaxbFbPbfhG+ctbWNLiEGa\nhEx5L7EtjqLC+hyDdDc+TW4GaR0vAzvdAdwLREJUXsS6pUFGSXGbRmgKU0YaAakLwibSvHiX\n+AlvuE//lMbVrwzSVAbpQ4BUHCBVN6gjsaO7AP+wB5IEWxYfCBKPDtKNo7aeRNWX4zXaUDIP\nxdiXGQxU6DFIeiLUlxxnLQhJWHBYpspMsDJYDP87cJ0bQFmscbUg6aWbK784SNl6rYPgwrIX\nLndExt8DyZ1M1MnE200uvUFtSktewhLk7rRzOab8OJnoB4pmTZDJuIzTgHvlgfeQI1tEOjaT\nQeqgVbcJvFu1u5iPvzOaQXoOIH0bbz/FzwzSKJoJk1B63VtA2gyQzrPRXwUqstzc+2MdLwO7\n3VV/f5odLbTbLgUySsrvjoisBLLjRsMfunMUSHGiN+vvfMnyChJZvPPiJb7+AM/fFEgwrOd4\n1gcoxboLWvsQJK+oIby3DFJtPTHxkIC06GCQePQUYUgtgxL+zzgVlwe2ZV5nvQeLdTKKuivZ\nXor93IiCSgEpC7a4FPEii5mJ9wBIZeF8bojRUULH1YI0ZsRnMv7eL6QuVLp0wcudIWjHFUCK\nd/fKCbO6GOeFp9G+z63Y2Y+PBCmfkTuy6JiDGH3slrMwZa9k43rxpF0jirbvuDLiKdU5SpVR\nW7A1m3msAx9/hounDONoMYM0EVnEPuLPr0E93AUGqTLMQwFpLcO91xl130uIvYKc7VUKxmBJ\nYWR4ZCWQHWUEpE54+TmexTtErznJgXSnxP6eFpBQh/AgW1QpYAtvEr0UKnbuRgDlvsQgsS/n\ngXQSIB0OEg+AVFNBGscp79wwOu52RkdozGII0unMKfeYs+G1CpIUDKSGUHMG3mOI6GDKwvnc\nqGfKxRjXokSohDHnwsXH3bvhhrQcuwHSq6wwjRcPsr2xtluGY5K+W0qW+DgBSaSSewSk3mxG\nIQg1n0Gqj5aRSUQZ3hZsrWMeq0B6MsNd2lsAyUnUvkYQq6+Ep1ejVcFF9ogr4o3y8NL+E5ub\nBxxI8+WAbSgvS4KMUmLkxQDpDsPOFUDKkMCzeIvsx9NdmqC4gkSxgrlo2VOTg2XJUewrMo/3\njoou7R5sFinPGy/EFILB87KWygnPiLLj+2iQeonm9yFtojyORVi5IVKsRsKWngqSSIPTGw7b\nnxcMRrL9mAUFA2nw1Qy8xxBRZpZRkATFmONqQMoRGik5dPyN3/hnJEI1jTn5EoO0hAvO1sEY\nepUn2SUJqnagArqNknDdR6ncseKsrEoMUh8GCUeBbOHHUg/9w5NKvW0bgHSQQaoMUpa4vg5D\nWZq2jH5lAqKu/UTFBZDSxjNIxT2QaGlfw/vpAReJny+5qkpiR5ZEQNEDSfve8ygnIHWUl2cT\nfdIKBcl6u5nEXW8IkMRte0Vu5CG5Yb+ylmoY/Il79RTMs8ZPZPYUu6CW9mc8LyB10xqlNBVo\nlfFAQvR5PGcjVKT4rHF7YQcFSaor00umHgfZzGCQMscA6VuANFRAKo0ozs8SvYo5rgYkW4j4\nf+Uj/UMSoVqhWfe8IbN4Bd/oeVACt2Wz56JIgPrRrr5RFujjBNIYkfWu5iqY3RKke4MD5fNl\ngdzGID0CUUwy8Q/aoKL9d+axMkihtiEC0gmKI49HsKifXMAqiXzeJAGuPGjymoeDj2t4YTx4\njD4tQOLTIktgnuPJv22iEh+PGp6DHQSk7GLgzENkxclNr5fV/hnGZg6c0Gby1Q7Zan7lCf0u\nzLVqPkhaXGVB4sRxTW2TekE2ls7nUabyAd+K3iJ0r6GlxSI2zwX7sRm1Y20ZCyR+iOfkZsyP\nAiktjLxvcceGSkq3FEDa9K+BNC700cbpuPIv/EMSodrGjHiO+9OuY9N5LkD6jG2Gi9J0dxaB\ntEECuscp7TdaNoQ1nITfJSD149TtPAFpO1vcdZGCTC8Rq9aoaP+T07eVBKQkR1zSZgjHA04S\ncgrSMAFppfj5+cX/zY0WFHn5t1fz8xSQuHWbHDgT7mEiuQVIXlW7jB5RIOWQGT9PjKEZbgm/\n3jBYbQCS2M7NhdkdEsY6wiQoSPdrIueUESG1HT2lYLCGdne8KCB1gl49yY8c0egtNmJ1/TQT\nGKSkOB2kOTnMDytIkrG+jqVkwVnZF7/nGHtmeEbpcEqOgvSWiIyKIxy6KdFpuJHjH/OR0v0N\n0+4fkgiF9+uxptyf9hRb4HNlRoXckH1xUsLbiwik9bKdnKBg3CgB6SfOHe6SpaA/i4nmCkg7\nGKQ6AAl9WhWkYxzmqiBh1WQUax4MkJwROA5R1zFiW64Q0WZ+MdRyIw/P1VWhMefwSH7O5UWn\nCEg1uZlJUARpTxj1MUCaaDiI3U4C+TlEHYDmrmudm51RdLHvMKHfwXZuLghsF5BOD5HXCkgP\n4HEE0wxKhgPVyYWoxQJJRE0D5GSJd+SWF1QLUao2gtMSpWlO1nsVBUk6bF4nSJ2VzgILWPWQ\nyQNJ5EPf4I69JcvwbQDpl/8NSE9FJ9Oixj8kEapjTAmraAjXthsucPhsDvKvsy+QVvMnmZ6L\nKYWwXh4J9zccLprOtZzyiBOQBnB16Bwx2XeskDfuyd+5Rf7Yq1BUHOeMTjlpZZCcbBrpJ3WK\nQBoLyfI4gCQVogVksuZCxxA5l7UnPc90xoHUVkBqKJI4FTgBpDrRIE2Spr5PCkg5ZesASBud\nd5BBQBrHVubH2PJ7i1EGkM6wI/82AggPwskLFxL/gC5pE+6lylJckjhAR7Q3/sRwA5OfsHbF\nCwkQmwenBKQW7C0lRIGUQYy8M1IQvZAt+etRC5oea5uC9LacxlEUiYJfLichuHqQsrYY/HY4\nPtp74sqv/YckQo+YBNvB067RD0i7ujlwPOfwnUOVyxK6T+ukppbbsnWTBO1G7oH1o1zdV3+S\nhTFWQNrJIFVDCrKIbG81ANIJtg/KiNggBXn2g9iSZ5DGAKSZiL9Lu5QCYj7lBEjNGMue5Axl\npCDUa6Lne0beXgVOSHw8HOHlu7FWAm2PSdQ+l7hl6JJ8yIGU6hx/5nGc2W+FsP27skZvk/Tl\nWSbhLYBUHYe0hXQkeAWGOJG0MEDKZRQkKfYLQSKDex0k5pcUJMnxnJIoTUv26BSkC9zaTkGS\n2NOP38lPBKTrANJ03LG35XbcjHDor3qOSIxxtSDlO8xXfrH7lV/8D0mE6pn40MJ1/WkfNDyB\nvkMtwly+c6i7XEor6DpZpU4TSK9JgvYPLoT9TkASZ/YLASmOV+diHkiN6Ytq6LFykjssFpBH\nn4IckjdJm5DkLM3d0WgNsUZAWiZrSkFx47OjQY+C5PQ+mUjl/qqA9KwocdMioAiQapgoI+GS\nlEM+KiDBiBSQkrLgczeDNJ61Zi2R2npXxITbZNqd58DwUFSQPKSdkToYNeLC3VcE3oU98cYg\nvFRAmmTMInd3YJAHF3GK4UQB6aSCNJg/HwZv2QDptMSeFrElfx2kEtfBbVWQ3pFoRUZc/W//\nKkijTjS/1zz3YP+9D175tf+URKhhaCykPWPsUlFdJJGz0TtLvGZ0AlhGH3Etp/ay84kwz0j8\n6Aj/5myxVMQGl+r+YBeDVBS5/Fulp829USDdIHnKlFTHOtA4UzIXN10bBZDWig58cRx/p5D8\nsRvYoLPWP4HUgyx67gDxqqyhjaQ2JC1OAiwrn6uCFuPKiBeQ6kvUPo/EN75jWyYZg7SI/cIJ\nAEn2mGFC8VbJs11gs7oXQGqpxavtjIrawqein1WigHk8kKRGyWZJ3EaOEFFwAae8TZJk6UkJ\nd7ZikBYqSAx7PskonZITdfeyJZ8O52tkUJCw630xEz/kuGjwW1Q2wR9XC9Ku/kFqa16U/LPS\nlV/8D0mEvrRqhlmureZTomiYjZMM5vMMWCqexzIyfwSkXNwfqqFMuKMcP5wpIn6xwT8HSFyw\ndiu6tRYVQeg9uH+neO7jJKFU5L4NoNBsHm4D2gqtLNcLSGNklS4medasaCDcnI28HpQgLU/d\nWV81XG/RRZv9CEiiFLR69yDRiJeO/o8ISHlFVD2bQUrOB3st5Nv4dRRI7wlIa0Q+cIlBag2Q\nWmtfkvrGeF76qjj+ohBekRcgtUceyto5bgfaCCHPedlSgkmS4zkhIA3kPzFBQcpHP3lKQNoi\nZBxhotKgiV1GgDQN3Zkg9c4AocrmfxWkCy+Ef8KuLb1jdICJNf4BidAoGwd6zqnr3je8iH2B\nBuzf8+OdLCAtp8DaCm7Ek4t1WE+LCXSMt+xvucQgmCQgXeAI025exG6FNVBU5m1VBYmtsczS\nJTsVqTUHUFvUPCbebR5PYYndIPMcDRTuEZAyIyDbgkHqTjLMCkRCK9E9vyHR5DRQqHYTk7VI\nNEgJAlJdSX/lFRv1I473JueD0hbyBPya63FaIHzwnphNs8T8iWdSWsv1B70VpIeN30dotZqx\nQshNuKvtkVX+XUGSBVpBWinVRgBpGIPUVEHi/pYNRSy0TvJkR9nwSJkgIJVF5m8auuROFbHQ\ndcivbxb9eMxxtSD9GT7fk43DL574G6Xmf3v8DZDyGbs9fGq4ErgZDsqTophJ6JZGq29fBik3\nq3twKPdxduy/EZCmsA3+uaQ19oygf4vgkRcT3/4uPOjT4tb8wR0AUhNI/aktakU6XTt4Ek1Z\nfhbL6ysB6T5Z0a/HttWC8yndyVeoQHFegNRP9AGpkV7s7oGE46V5AKQ6sr/cKMrWd9khTMHh\nzwUM0sQokN4HSOKQC0ivAaQPtHdjZYPC+HCskcBKQcSc86HOoh0iN38Yin+n/QOa0XNimwXr\nBKTj4tW+zxf9lILEC11DESitFcfqqFQ/7Re9ewWANBUn506TQIo6UFsgP481rhakqXurBktX\nhdP+k0NXfrEbOaZWuOJrLg/SNutA3misAma+tNZ4RRJvwY8C0knyXNOeJpuqp9nm3NfyHEV7\nUkA6wSBNk8YxP7EN/pmcJLKXjbVbUNRym6RtbgNIZyTQdmAE/Zubzj/qSKnN6nylT6Dv1Sbp\nS4xOJA8KSElOSWqlJYPUjcLAFQmklgJSfwEpFfjsLtHIW6JASpIgZufDcv03yU72Dtfqp2Rh\n0YLz9OEn8UrVHGKLD0RWMVNyLQkcOHoVVfYfalvu8EH9oQ32flKQJFV2M75qh5tpQfrW/Qwl\n9CcA0nrpkbJe3KYPGKQnFCQWKzwjp7GvleQTQNonIFUESB+gacR0WZfTI8q69V8FqdzZ1UET\ns3vyWjPqyi92oyC87b8elwfppC3azmvCOZVsp+HihVcQotrBhsREfgRZ+bCPnuyA3suh0idE\nAXCSq1omCkg/AyROtu7l6pZ8UK/dJnqzQgjqnJHimAOsWrudYs2VqL9wM4AkcfpfxI74UgpD\nayB8fFTjURTF6UYprCepX7jgFdqNbMKkQilbDwEpfbyeUEHjfiP6h9qyoxaWefI2V8Cm5MVC\nBOazAZLEiD+QfWemTDsBqbYHknzlVGS58D9rNWcm+OTH3tQON/PP8JfOJXHFL9LU5We02Nog\nIYFVwtZHbADT+fW7HzBGvNlnpDE/0oroDbVXegcpSIPQ62G6bHbpMV2Pi4Mcc1x1HqnMK0GS\nfmdMwrSsV36tG1cP0ikLUui8bwqySwI8eBkgxXFkYCIbBdnMcffHerIDWo3vcQOxI07zpBwm\nhxz+xs7sJ3Jv9jFI2gfibpmRBSWKm+KilGvKIXolBCTnwTZnkBrwGRRB8KvEc0fIZvoQlAF/\nivUv56R2o8h7YwJJDL5gYAJ3PkiJMHFPNOa6kBik0F1hGu4U0+cBcWaGch4wQyKQznAToOao\n6/5QcJ8hMhoJZj4AfD7yTo5N8EFaJ7HU/DDoCiBy3xYgHbFAJHPlmNKvT/u9bRSQVkr14Cf8\nFFwLXvNcQYNGvM9KmmWNvDG6Fe5RkMQNGoT3WCHZ+XRowHtBQrYxxz+jbEid77Ji7ojxT4A0\nwfW7+CV42kjSUUHazSB9zSDl4J/0AEgUXnucjd/sYia9KyBt4dvZViyNAwxSEhzgU0ceOXzm\nLJhocqzrfRRrrkiyyxYsU28gEehgM0CSS1eQDmtglz7F6zRZmyQC6U1RDSSHAkBBOh8DJDb4\nb5UNrLqANOQMxVGLsh/4Lc/+c/vIPmyGIwU+kqtUkDjyd794Tziaw454421PAOlmgFQQZmBN\n5JYcSMldgwA5inEjetj/LNmeldKqaBQ/jrwOpKYFfJD42c0Rm/K4gLR7BH9RCSC9ifbevylI\nImK8+K+C9HCxK7/GG4MHD/7MTA//G10kdfOhIxino1uyeeO0NSNzGfObhYNT9WXNKU7m7WUT\n4Gv2gXKx99SdIzmPcmZGjkC9SULJ74i4cgtv8K0YpDQy65IY0bU+IhKbgqJjKImWNnsZpEcF\nJHdBLbn4+nFU8SBV/4WAVBPh391yhEMrTog8RcHaphQSrC7Kh8FoNJ7Qk7/oiQPez2mHZRp1\ncIZHEeEOJ0EPYgiK8YY9jEE6z3OrBopOp8lVfiuGkET+FKSPvVZg8d4Bv8F6sbBugqxVQSoi\nuaVMZw0pV+428QLhhniRhm8SIc8KOb1iOYOUikBKvtvIvt9IQBobx68FSLv4JT5I6Af2mzzp\ntAApHicHxRpXC9LZjld+jTfi4uL2msPhf+OifpS01mMYn1x2Rzpts6E5jUm48W0caBkaeRzQ\n3c8gTWCQcjNI1Q055q8wSHJyY74okLZyykHMqgzwP3DwTn0J1BaQQN69sPn3cDLiMQqRVaC2\nny15jXwcLQzkEL6gh7QqqIUWVctl63uVQSpB+ub2BFIVAWkIQDrSk7/ohRDD2YhGWIGVhIjr\nfouoBmsISAP5jaRD7Tu8jVxgT+5GgDRH0qYCUlKJ/N2HIrhR3gP8zWh2NtggUuK8AKlQNEiV\nHRBd7OWhFfUGNJrcKSAtl9MrdvOTSul+r3Gw1sh5HY3l2SFZpyCJ6L4SSjEHouJjs9RapUHf\n0ITGwWXG1YI0d2bSK78oYly9aXfGfrZ0x0PzebgRRzXJNokMHOAClkG8HufluHMJBqkZT8KH\neanJJzbZEJHR7uNknICUEYG2BAn4PiYKLIBUDfWoe/gC2BuqQD3XWjFIj2FXgxSusxQQ1gZI\nyxKDVJxwHEAbU2WREA2BsloOvAx6oR3LGe3cNsIFx9uib4UHEs/iAfxG9XivektAYkVNXoA0\nV4Q83zBIeSTyVw1SeF95OclrjhVslE0kD3Zw1TjcIhtmVQdEV7uh4ODW9Wh5elaKHZbKlriH\nbYeUnEKqaaSMKRqkE3Jr42KAJBkQLRhODVl9dAsMf1wtSNnHzHqyzN/tIuTGVYNUMN4lhlYY\nM2S7nlW+hB9iUq6SCL0KAulG9vLzx1PyshmDU5wf/80CUgsB6Rwn41pEgyQB3yYCUn6JiFdD\nnmU3P8MnyPkqT+dGt2Ifo5IU+mRUkBLYaKkNrdkyWTa7s4ygOHXhHUa4AqShAGmHWPC9JS4W\n7tySAkl2bpM1MzsApMKiGgRIHbj5Un22hcTUu8gOfV5kvOefZ4d4BPuSBVUvJQq7A3rkYDDe\noNuPKoQ9gXs5DyReFqs7IF631VBoA6EgoUZvseQN9jJIKeyvfZAkdPQEpCZiKIwWRgCSnBwb\n3k0BaYC4yXpSUioBKUl0UyZ//G+7CNlx1SDdR6q15cbEGz3qdzGDdL2EqLsmAinYQbOoOat7\nbufMy81S2vaymOPneVuXCrbrkaM5L+51BxHX55e3uw8Sml0czX6KPmgIko1yjWUxYBrJ89+E\nKodOMkUexXHcSyVGO4VBup1AmkKbTCXZ1oaiGAUg9YkBUkrqPfohYmCFJdD2kERNmjNIj3IM\nTQTml3jm5wFIO0XLO/RP+WMcArwHW88BLz3f0+Cg5xAkiVinjJe6Fw0xFJZZ/5aA1N7g4NZ1\nAOm8yHcWSd5gH8/i5OFv2UxqIZxH0USkciPF4gVImxQkUQG1wu3cKj9MKYmCbP8uSONGfv5/\n10Xo6kG6n1Rrywlf+XSLOJqdWbaPLqz2LyDHCG+nhbEFx6lu4xfmF5BelD3lIkdMBaRcAGmz\n2BIdpZTAA0nCSzu53cbz9EHvJJDmsjw9jeT5CwCkjtIVtzVadS0RkOYAJPfWUwmkknz6ZPAZ\nqk+3S5ajzzZ8C6mfEKTDaS2G8WyIF1KQGK1mrE6TJhQiMI8HSBL/2C31jmIL3yLx63tgrvkg\nNTTeIcubkFa9KAq7WtEgUbfU2XaNwblsa5BkOy/ynR8EpP1naAVKssPQZe6QY+WaSoWh9DkO\nTsrnWCibjoL0MlzObVKckEI+XAE9ezPW+H9wYl/yxMKV6HFZkB6gDOtnBJJM378EqYZh63gb\nKUHbsntdjF9YRp7+C5K7v8TZImlOcDvkcZJhCh8wg3SzpJbuRxPg7y6Q6dOVwoJ3ULRwHidi\nU4v4qzDa4jwlzTzbIGi8WObKXLawbjNnrf80jeIHNwpIEwHSMpmsfeGer0dS3kazCgV3JKDG\nLqskLGtKjkdA6sIFFq04ip7AMz83QNoDkNiuLCKLdlWAdBANjp2TGI8g7FEo5mKAVEhC4gTS\nKlsqiKD3EMT+LsjNmS4gHZBN8ltDUGwWM6SFmK69JFaB2ouFor67C7V7L6EGcZuk3pMrSFGN\na/1xtSBVFmOkXP3Lvs4b1xW7/kovuSxID5ojdqZ2IpDkb/3IJQj5ZPvoxEvrywLSFlKCvsO3\nNiu7oXfJpvacgJTAN/FRBqmkgiTrY2eJLN8sCb/70fL7A/Z0+LSJFEfcOjuPlf6pRY58C2p6\nH5NgfxsEjRfL2XVzzxFkxShUwiDlFZAmw6ifK4kPBWkc9n4L0pP2QA5ZcZMrSKxKeoU1El05\nsN+SzTQTBdJecVsUJA5s3Y2WJz5IZYzRI1yOA6QLkgGpjTRsIan+JpDW+AeWBn0B0kW5klGS\nyT7ogeT4/96cI53keIlT9uRtP/l5qVBZIOeHPobM20s4JG67gJRM7NaC0NfHHFftI0lgqO2R\ny74O4+7VxpZHT692uRddFqRXKAz3GIEka/gPDFJJAelZjsq1FHN5MylB32U80rJXXVUWxCYc\nM8on8YPa/MoysB9/VZA4voZWuA8gh/IBTxs5beKgW6fns0A5layxRSCTeFSEmW2RPlskcrJ5\nPCNTHHChkukCEgd+p6DzxRwB6Q3EucYCpIfCG9XBukgSm0gmwUa0l6vDIL3OgX1WMuQwnDbO\njVMC94kGVZJYt0qqpQqS0oe82VDEB+kEqorORYNUUAoq3neP9tyzXY7ruRJ9YXyI6a0gHZJN\n8pOLvzuAWhhOdk1UkMhOyIggx/cC0hNQT7wIkHaIqjKJ8FMIAoyY46pAKli9uulV3Y1HVpy+\n8uvDUe78idkhSDccOF/mMq+6LEgtadtO6m72MfFAF/IHKS3bR0M23STuHPxGudP3GZw0LKq5\nR7aSZ7n/QVEFiRzVO2Ai/SqubxexxrInsPL5QaTv32fIpEn+AbdOf89VOamkqU4FCPceFdOi\nHbro4BDJ+RLM3s4guQBTHgFpGsRhqO/tB5DGQN1iNWg7qn5ljDjTSeUzNhaQ7mX5qxxd8wql\n1+6U2GIunLy3T6oiBKSiYj7drCD5JzDvNwjrZ9TyvLOiy/1LkMzFndK6IbAgSY3FpSiQDqOz\n5Fxa6p4zLL+YLHHKHvzEsqDz/vci3nsyBkg7oVBNYIuuECr8Yo6rAqmTF7Mzl+3Vj/Htrjw5\n7ITNtuty55/9HZCSuHfFYYkL+IOUFZCe5h0HIP1CwaOZ/NxSM0jVZCu5j0EqJqt1bV6MygGk\nXwSkrjij4DgbaA9CUCYg9eKoqoBEgfqUMpnrwKFAdrc9XPQfZdZqbz0nWKADLtDIOJiOo+m+\nE7lyPwSMRyMpv9XeqvVHDDpjAaSXRe9zD4MkBxi9SBOuhjTHS3kWnr1AMog9ippCAkQiwWH/\nNNg4g74HBbR/sbQeCh6G5ruAdG9Yw3MqwWDbDvqoxEC+95VIQn5H6cFc2u+bGl4gporZ1oMF\nH9lwjfMFpKew172AmuKdUKju5UxDYdRCxxxXZ9rlfNiM7ORG+/oprvzycPzRKXAgBZ0vZwpe\nFqS2FIYjkCS3HYJEWp07xM5+kkF6VURim0ha/x1/Yjm58X7ZSu7h1la3ya2uxSbdnYh+bZRJ\n+jpOzTnKIFUHSO+xVTGS8/z7HUireNkGSHVR2VZfGii0x/lAiEd9L6QQSGspyZDkGIP0I0BC\nofwQgDQKXUXQFERcqiSyHTYTvU9Vti/lAKMmFON8CC23T8Czl92yPYMEEvSclcP++eTbkDYP\n9xzBJzgpKvjH0HM1v/x0r67PKEv1QJLvCUh5EtC9f85EvnoGaY7sNt3ZxsuOXXO+fI6n4X0p\nSHEQ1u1ijdEt/yZI4Q7zf3PQWDguPs0gNb5wmVddFqTZHM9291kSl+GKT7f3TgGpJO84AGkU\n1b5JQFkOnINkuSpAYpeoEk91BWm6TNJuOMftCFsj1VFmLY17J/Gj+9U9uj3scCVPAEiSS64n\n6qYuqIBbKEbLAqm12OqetmTr/uCJugkFNLPFIvgcmZeBEJpjWiIGIBO0pbgvd/P1ybkrd5Mv\nUQsz/wQ8e1nJxTWvIyDlAUi/+yD9ACFXCBJElicEpDZQGKa5GA0SylJ7q1YnMUhlJP0a2tNE\nW2XDj2Oj7DbyudDIL5gnO2tDqBOfRzJ0lwhFgjiW1Rcxl53qVwuSy0vcUL/RjVd6IY89fTxI\nUr4AACAASURBVBmkL+Iu86rLgjSPD5z/xaWx5bufshFQQUpFi/GO00naogwkoubyLU7JKhnY\nZHdxyuF2AelGjluUR2JzqoIkvlkczwytJRrG1tIsBmmBA2mf5O938QryiAcSK2s+gmch7UBR\n8R1stiAlkX4mAtJvIrUIZglIXyLz0kKE5rdhWuK0BTGZXhUxRRUOtbzN+2hlAqk2yjOOwbMH\nSPxBAVJuSBh+9/vuDjOe0hud6PdJ2yfvEMxTDNc+BQkmloIEuKQffllR1mFklYP+NspuI+f/\n5kDSWNpNBc/gfEQPpJ7y1Q5uCvWvgnTXWht8u/946Be2vOKL3fj4SGkLUqY3kCiPNS4L0nzu\nWjHZ3me0mG7N4bOKiUGaoCC57Wsez/gUDBJssirsTd4umbcbOUBdHqHJKaIa6A6Q5LAPPabk\nXX6DVeznTnbve0CCg9sBUuNAvuJH9DFOBf9cQFoiIP1il9akAtLv7INsQW30LGFkFEB6QoTm\ndTAtcVaWFrVyDrgyQ/Ajm3j5KTvwMObdGnj2svy/yDZZHZlDaMeX4+yIQMdbPkiS2w42SNsn\n71jm49EgIXvvgSSBAAGpXBRIWQxbEz/LbtOSHdGcMDPnShznWWyJz0Hwu1uqUoJt/NWtEBLG\nHFcFUunTNkmV/vezg17fF3+5KJyOHLsvrjFr154zu7Jf5lVXAIlstXH2PqMLmIBUX4qMi7Lp\nNl+MkwHU1Wc+37bkLDd7XmwyaUhfXEDKC5DkXaZIEW0PnP28gf96RzyNd/kPruZ59qHt/5Um\nASDxvGkUDdInAOljEYTvEuv/Z6v5SiYgiTO/Hc3eZkp6dwwCxg1EaF4X0xIdOuO5qu01ScRV\nYvneSt5H+RiMumBgpbB9WGbti9x5pa7MoRwC0p1GiubsGGo8pTdWPjmdLAQJwfHfeJfaryBh\nG+glordkChILNe40ciScjBAkcoU2SXeYxxmkAtLkOZjDCqfwSciveSChTePmnvRv0X8RpDEX\nrTH0ol3LCl/4mxKhbB/YevzfP8h2uRddFqTvGaSu9j5LI4FwRlB4uYnY6bdyb4b5cuf6k8pt\nCz+3ZNzt51U9tIs6b98nKWxpuPYAyp0nS/j4cxSubMBJDLKuvsMJhzX8VD6wlUgZ0CZxJRsS\nHaEmritu7Ceopu4tgnDp0xgstFmwZIbdEoCELWaGdHEaK7LQcO6w4LQHpiUsrnhG6jXJAVdk\nkGQfzU0b+SNwb1YISMcEpBcAEl8/+lqWjwBpiEHuuRA8FG240F5B2kQhwuSnzPGzO+iKMXt7\naZsJ6VX2MTcSLy9CYIzMhp/dJolkPMaJ5rulyXPwnYDUOAZIh8WiDX5lb6kozh2JOa4KpDhX\nUTPVtcn4dvMVXoyRJHvBy+1GdlwOpCS/sq32dHibL6B1/2v8sJrKrL+eDZvvpRqmP6ncdp/j\nOMHecfyL/DfK85ypKSU6AtKTClICQzcuTt5XDkB9F9PhHf47P3FmbZidz9cbcSRm8pPshDRv\nHZmIn8Jn7gCQkLSxUcnkovE5wGF/nKwSfCtG3tfQDjwuOdSl0SCdYEuw9cVU8ukp47/qGCWF\nc9FyVQ+W0AreJNNi+X+BzSaAlOwsezQVpCUZX7o0BPBBWqcgiTom2ETfy2bM6KxD6Yoxe3sK\nSPmxlXdhM7RiLJCcpZDk8B+cmqvFIFVVkCRu3AQgNUVNsR5Cu47jd8X+RZDO9bTX+qdrNzXk\n7yVkr/7EvvTSasn2XkL0N+SBZv1zkjhIx+1YFghI/QikPbIQbaXCutYCUiF222rLKpibQ0zP\nQkIySb7yQOIs1TCUQPRlkKSq+i2bVCwMkGbwDtkJkpPaYvV9BpDaS2Jkj1h7g2wWLIVIE1bz\n31aQpkvYYTVSng+J0FwPKZZaKByy11pmU1kGSRrP5aRMbH0E6ZczSOkxawWkRxAYlkhcBb8n\nZOjdGIG7sJYmrZXvdTgO8eXPdO3ljKkTUuIGTu3tKd1nCwKkzvzTSgYWLo9MDFIKaPVK82sV\npNkSwmyFoDdASoIgeTCfF4fb9NzTWOPqQLKpm2IUSe158QovtuOfOLHvOim4fNKg0DywFloi\nkNKyh/CDdCV4gxK5+8TH3EpWU2uJEmRlkJ6UpUe6uzcCSINkbxqPIwDWsyX13in5RPezW3GW\nJ3tXC9IdRm70txwc7IyKsaKiQPgMPnN7ycNK4XzwJoHEtuUqTtjuxBYzTQLhawFSacO6hxUA\nCa2efmEPpY2AlJMNJmk8l4OqgV9EbHHpGbJdi1CfvsB6lwKSODLHeHuuiN7ldtxljJibHkg/\niQ68w5945c/EaLhE3hfaYG6gb0pPcX4LwyYWOWVltNmVkfYMaYQzQ6tXiu//PXB4ZwlIAwBS\nE5GIJ1U90Fy2Uv9NkOKsNdWKVtgP/7jCi4N/6MS+0Nuo6r6wTczUgniVZ313ycClodhCsiNy\nA3qbM1aOsF8EjhvIj28jlkUWjqV3kV9Ik0CBhA7IfPcTkOYDpHW8Kb6PQPR9PFniWT3a2k7J\nKgb2G0AS8X5BiUd9Dp+5HV9kyguySQ208yilZFRXxpNFhqNogikC0gaszqVYyJApHiA1lp9t\nYvepjczi7IlAyk657tb4lSW8pJdBduo5Di0/AuGCdH+uFAFSZQNrsGIskHTm/Ey37BljqlmZ\nbji0W2JzAakIQOrIT6ouGrNgzKZ1oKAHEq1bHkiiIxkIkBrHAGkOLz636+YYa1wVSN9uTxak\n2OCW4mS7EwdOYox/5MS+jNLuu0F4nz/Bt1txcG6ggJSa7Jjr5NhUu8SFHk7ys7LYf0eR5ban\n2LLIxD2CuuKOXSRLpR8y311FubVMetIE6/hJvS9V6CFI5AdEgPS8SeBfHcrBwcFIPOWUMoQv\nYOq3ZZDSI7A7wIb1cxg2oJezKi8OttoksXJ/Bkglef/KqTEwOfsl2MQuVVuZxTdwl+SfOMKf\njQ7ReB+zdjHP2jtQc96Y70s9KIePACQ/GxKCJPq/VggCBmtkl+qoIG0ESPcySPvws7slr1EU\nzmUHvqTnVS8hozWdjFoIoteSjMa9iE99BZCgsHtaQEqmd+o7Bqn4vwjSY2ZB8+nO9U86yKuC\n/Mvxj5zYF7rt5FLU8ydGUIPrfd6U7SMVedYZAFI5ZyekxamI31FCrq3cz+tZJiGFBB5Ikvlu\nKiDhSCM+4C4IPpA/G1RjkBJ49rxmax5eMKgrZZCGo4ovuXhLX4jRFLQ9TdXnmbCW97fzqK4o\nR5fxDfpT5AHBCAHpF5yoUIJByqUgiTUZ/MwbqBAbGkHUJXktG6Q3UOvNT73KSZq15VBU0pDV\nRPVQ/bGLc0OVI/obFIlHC5O2CtJqAamzHsG8kd78WRNfzPaGDAdEU+FO2FH+uFxSezbCX8Ah\nsBjNCaTCUSBpS4B3pRz+TYBUU04jTe6BxDmE4uayCZ6rAinp1+FHXW2jPN+arZdrV8LjHzmx\nL5MEkkNnCcX2NntKc2qQgJSCanYyyrGpDFJ6qaoIZtPU7y6mctJTVBv3OnrhXCCTHw22Qxua\nQVoBaQ7LjYMPJXOKg4gjQHrRA4mi7CNQSpVcElfDF8rfkMqkkvDs+9t5VE+kwUu54CIBif/B\nogP/FWrg202C+yt5YoC0kD9AX7msdAkOpCRbAZK7T5+jLvRHnrXlAVJNNlIboPpjDSu2qkT2\nL/oFG0s7RNOD1dLd8WMFaQNth8+6xW+BveA9+BlMyhoAqR1AilrFm9ERw7eImxiuKrRaKUjv\nRINUWUHCnZrNIN31L4IUJLmn+cPurT+aledKrw3+oRP7MovbbqvVauPbqbiUe7DYYclpK7pe\njk0NyrpGhRmgy+Ie8O+hx8ERAqkbNArn6U/2l77AIUhc3bJSmuEE41na9iF0k/dSxCep9O14\nzXbvf1FO1w6GMEg/AqRkMjOmLZS/0Ya3qzJIofaz87e+gLSE5m5yVdAMigYpyylKkeVVkET3\nGUznl3+IAoRjTvSbUzaPlAfj7D8jcIt/4FlbAWevihSkPUCSXeaBSJA+FQmpD9IqAelTXEKw\njp7F5+7RTbIXPAY/Ky1fPwS22/IlvRQN0svmuA3AVY4CSXtrvCOmioJUSR59CgVpFr9tzcRd\nAiPHP1RqftnTjjD+kRP7sojbbnsv1dLvx5N9Png/lxQnoyNcM0Gomdkd43Y9vI6Z5CYoAXwu\neXfMi7NkqfSHFquxgLRaGtwF4xiXjyA4vZfU43kEpFftiRljPZBoai6DZ5FMDKEfUBTSmq3J\nMpDUvGFBekw0Potpx0qJk8+CgeJp/Konx8ZRNr+0goSWp9PY5PkI3vxR96dyw52hs/VGwjOY\nx1mBSgCpMoPUEU9LdpnGnqkQuIJXvm8eSCsl8eWBtJYs5onOinjRXrAKyQBSTQ8kuqSB0qVT\nRxPjSssfQ4KkOKfZ70Ono7eliZ2Ug9jPxqtwSuiRAFItrwtzjPE/7dnwj5zYl9WcoYxNkvUm\nPqd+/xJ5/VNFapaUDhXPDJsqNAUb2JUJIJGb8CEI+IOO2uuONz9Di3t/OVkrnCBcy7oG9Waj\neeJ9DMFpVdIe3SwNcBoakyaYgfjTmwBJPItkgsOPqOJ5jR0SVFcFfW27ycdlg1pEFKZSkAZI\nqdFvohWyILmA6mBwdAm1LtM4RvIxQDri5mwegLTcObEj8dm78aytjANkKvE61hH1iKt4fWni\nr3A2USb3rT3yu8FK8Zs+08jcGjJTJjqD9jl7xe/hZwCpFpontOFLGhwN0kPGXdTjHkjkR9VH\nt8q3ABIyNxXFL7hB9+6ZHM952OvCHGP8b5uf/BMn9t1gZO0tTqjwuEAPAW0Vgj0uwlXaiOmW\n9Ji1uVSXNYPcBJVc/04qpx6oNTpNKZkBYjmHIHEJ3k8A6UueDyo4vZmW0YKSb6lqTFoPpJdY\nArscGx968y9C8cHLbLQoSH3sdT8h0oT5tDymwqG2QT+AJHKcINjpnJhkOwGSmtNTOUbyiUgo\ngj9d8D8v4sXLnXvyFUIinaNAqsi4dEKV4youD3tOevfQeMCI29ke+d1ghYD0OS5BssGTnGy9\nSWKQeEbXRtyt9WVBsrf5cSPO7O18q15SkGT2DEYHGYB0azRIdf6/BFLwD5zYV9nbYvwO4ufi\n3D+b0XZmllOYVkXT+mCftbkqISn5LS1WupUcpqBiT/TGPUXJ9wEQjjSS8NBaMfCDz5lT1cnl\npHxUYTla8W67OM5Ek/8XOGGzHJ8RIC3GqYeirkCZYtDL+nZPCkgDaX5nUJD6SvDGOzOYQMqk\nlh2q0IOpvF2OEHVs8IdrPHojzuJd5gJmPkiUdq2CEFkF3ls7Y+VZyR/gRcgH3LgXTYvb67lJ\ni6Vt2Oe4BDlhdrJr9nyz37bQJoIAkuR/X+WvhuBcNoxq5A82MJLeK8q36mWcJdgOIEGUU1Fy\nJ8iRh+st3/JHvHbmMcb/g3Zcf2NcDiSNfyVZ3dn7/tk498+WRCA9g/xhsNeCVFnOSpaOu7qV\nHKKZ/7kkE+Rsq4GQMjaSDWIdlKGDGCTVySU57d6xsJTe3GXCTzMTIoznWRS4Aut4EvEXf0W9\nby32AxWk+6xwrrFMpi5kcd0qnYfD1VkKJXfqUac7XBFCZgVJhcVTGCQUPnFR601IySxzkbZR\n8Aw6RYFUnkHqpyCxbfqGqvLtKGDEremgItSxAtJ4PXydW6dOpmdmj1YGdyFIPKMfxt94DCBB\nwScjJ0UoX4YoSqzgl3GWYCvhZwgSWRVE4FwsGqR6/zWQBsFtD9Il975/6Ij7nS3o3zTTqQCe\nVZAWW2F4ZSRxGSTdSg6SZTUSK+Q+wkVBelZ8/5MAqTdnlFTew/yh3VYI0nVJf8fbNuF2iSsw\n/QDSIexzNfmxlIMddafth9dZ/IQuFIstjrK74GUB6ZQeLLfD/eEsCtJb+NEUjoQswCw+5CDI\nB5CWnrUO1SgYNB2Z7bsQIivHIYXPUS68gqMlA722+YGLv3NcsoPqbMaIyf2j5oo+TnBr2BQi\nfo6BQDHwQKoDkOozSB9Hvp0dOam8vRPCmskBkrDZ6iw/1iGoKb5TYpS3ax3Ut+yWPnrZE1Ku\nQZBmKEgRYxl17diKcpwZ561F1khlRN/beo+q0PV+QX9nMkA6QNmOr/Bg+SCrgVAHPyEgnUMg\nvxf7HYtU2XHcOVB3CEjFjcmQUruNNmKkVmL6BSLxPATJcQ2eQXcCpHK2H95oAYnlmiW01xqa\nhJ7Wg+W2uzf1QNIdfLKABOnAQQfSzTCXlzqjbjPW4Q5RIN3BFStfoMpxBcs73oz3lzh7llVT\n+SPSCigYLSAt0lxRH1L+TqVb950xp9PhZyUl0IKDpEOQ6JI269HPMnKQDnMwojFJGKlXAFJL\nKXwZAre6rEQbiyuaAlKj/xpIMz39lT+WkuJrm4LkblljnAIfgtTNbghiLHGwZgG2kv20Os8H\nSCvIUhki5Xzh1OGU8jms7QKSJ5E67jyFJoLHTcZk90BqCJBk+gGkw0JNUJ2TznfCjipnc5MT\npFSP5ZolNAGPJqFn9Dys7e7ltyhIjfGjyewuLUD8gSoz8gOkJW5SH8f0ac8z5T549mXZNfni\ngtjCIvgYgoCyGzmMnAnREd3/glEiDlmkGpc+FCafSvN5sjGqZw03CZ7RjwCkegzSNhw0i5Gd\nlO4TNKx5iXbqV9Cyv6WUYg4FSCUFpBK6c37DGYc2lz0h5T8E0hIGCZUV37rUWxP4RMF8m87s\ngTW+PYG0EARwocBKPNhFNNtGw+0qIyCdhzSnZxz9u2chruSYMxHbCx6hlVEilbZpuZ8uKOkW\nXbUTeO86DKVLCX7c5QHSHXYjniCRkk40mUp6IHFW8aYExB+Cn13gsImCpG3gJzFIC7Ef/+o+\nQAE0VSCQTuBJtGO/pyFAKsNfDccDEQnipEiQgl/kXnTUsvKvBOHFKJIMelOY/CBZWK8YBGjD\nkewAz+h6mOR1eXfZJmWwOlJedJbgagXpIEVRmqFBcgvJvg7F880lIJVUYZ0cy6xNB2OOaw+k\nWeZgzO8vJpC2Q7zzrRODPKfC1vlWPToIIL1CT/sXKEVn0R9eDR3dZPKHx8PtKvnXIO2V03aC\n4IgDqQNSzkdN3XQ4Zjt01p0DkM3gbYKDDNLvAKkAg1QbdlRZk5AtmCZ2akfyDkppAl56G96i\n8YfgbQdSUwUJ9cTBJNZ7LESMZPEP9MYC0mKn5zh5VCKWbdk2aoIQ2S3RIDEcUxPV1KySPued\nFKSRAAm3N+hFYfJLFFd/2URY8bt4RtcHSMXYk4kBUugf2pev0bDmTtrQmp0Xp6+FyC3eAkjZ\nRJFRWvVA01lM0v4/BlLS/X8B0jfO/M5yaq1+4wH3p9Cxa55NKQ3CjH6Fpt7+hfLzz+mxrUGQ\neDzN9dWwFouLiXIBcuMevJ7uU0HuYfdgOiD3eNQ0uc0gi1iCykVzIMMRssyT9w8oXfLzWtvb\nAym0is6IT8SefylNwL+QQJYiDrUMrKzvUEobJsTQTMjXHED5AfvxIregPIiq8EXufp5EJ/G2\nRmwjUXbfwBc3HA9kaRz9Oy1Rr7WVsUASC3qJlrf2JJASCKRSR/V0pHDs4phmfUzyIrxobIcY\nUsdy1zHpJwWJayCbI9bdXED6ECTfEAOkaQxSB0RZY45rDqSURvuqR4zx7rPfalDO8I2zRfpq\nx663bTv9dzA1X05wYbMD0OV8RnH1n5AW5fK9XwBSLgEJRykE3Rik/RpajnP8DUYTryPm1eIG\nPTeyUaI2h9HWbxs5NP4H8or5WRHWx7OjTN7gguxAHeixPahR2udZx1TEoG2HbZaQ2UoSwrHO\ngaTu8kDOjf2wUL7zo0PqSYD0qbNuTuHnbbgL1iAR7gZZ+VaOUJD4ZkyPAmmyvC36M4yQLMMS\nvEUIktOzGdYeJTsLszwccZzwa4q/cQuzvf1SdGR6mTus4CeNr+ygDc0HiXUxU6NBKqNBkWlc\nlN/x6GVPUbnmQErln7bjj/HOsC5qpFtZMN1lBftr1ruVBWk6QHqJtKgHoMv5jCzydVAtjDvt\n7t0vaLB9vYT8LiLr+Tp7VAe0NGr1n3aSLkYB9p+mxwsGKcobCKScBtnXYC0ven/iUm/mxIuC\nVJpA4h2oPQUjHkfrytCEJWVtEe02wCANtAhNs/9BpYddX2ga/4BPT3tTCynoDjcP+xYKUmvu\nKTkYnbKz8uauIIm7800iaf8KAelHBam36EWWanvjHq4wI6kRYcQivakhSPxku2BjLcwg7TgT\nRI2ldgfPfF53lu30Ns2hhmkmWmRtoJ5VGq+VQa1iMJVB6qx541jjvwPSOLeaFJPjh+wRKHYT\nmICZEYK023pOMjVfIsv6IOp3PqUY0VFkc8bSbPsF8YuMPEuTXsJs7crB2wPapWCVW/mXAKSD\nZlQ3A9FxVqqMyKXdloMfeZodQYL+Jtax9sXV5j5vbvRBamz/aaCnxDZh8+ZWlYUGbxobMHjT\nMtTK/sfrbNCLQfoRbYgWOjPqVfjiHW2ReYkE7Nevsf5iMOqFszBIX2KKvc2ryoxEIM2THu2L\nFKQe3AIoWKorSneXwkiO7bubr1iIY1tDQSrEm+QOXyrG4z3b9+FGozvLdtI4tPBA4o86DVMG\nIJXFkUnBVBb6d9G8caxxzYGU2mtTHDHGuZtwm5bvT3Pr2hRYWNR9/1ek2l4khfUhdI76hPoX\nnECylUH6Fd5MRk6A5kIn9qDzeVpYD+pGsNLlXpZAybLCTOtuMEEzC0ioxAims2D7SGv5Ti5O\nvLyh4pd95vFc8SIBYxV1A0iZg8YACWo2q3HLanWn4bh1nqUJPwntPbrsH2E8UUapjQdSUyvu\nwXZRl4MnQwBSpiiQXudVZSbUazS6Sn1dLJCW6Y2gDv4pTKTCiMfOo/LHxJADSCejX/2EFdvd\npO37g230FDvgtQiET4NePotMlrJykFz46Xgf7/r/F5DGuptwu8Y7JzhLe5qextHcHM8YbMU8\niAaJntQJnM44hmabgpSB3zufNpnpxAKFQ11xJSvck16KBPwyM62HgT+ciUDKbVCJEUzjEqKj\nACllAu0r/fTq95oWDxnxidpRpekTuuA24siVD1IV17h3swWpULJdF3/3dDsvRYE0ZT/9YTlj\nxQVLqilINQCSFN5fzwHQkcgXyPY8C+ef0egivSYWo9dSuPuwpHGZtjemvsKZTHysNlNiwClI\nBdna3Hk8+tWP2vauxcw55K04L/KWBxKnZqdDL59ZQULx0VscvXpdq95jjWsOpDS+0MUfY50j\n7oH0omu08Y0Kke+169M2PXqAvjoMSc3HBNJJNIYbQ4umNtjOwJ3i9CCgcOGmCoHDWv27wtke\nS5E3XORAkuLAjFR6mkdP/gmmsXV57DV86xI1CemPqw1BalkTILWleJUH0jNcweSDVMmVEG8J\nOfooWTBVgxCB9dhpP1gEkEg72t4D6XmbfZ2vf4yM16G4pIysPByJYExXjsTNjgKJg/OLT0Ov\njK7PK9QRolPOHjWJouc0tpyVF0nMpICAFKPxTn3bGed+ozmqLQTSOwAJqrsYIN2BKulgCC+j\n3VTJFGtciyA9FPMHY1zct7jGO593lscMhMvsofGlg0NRIEFO8BHlVk6in9VoBgkR9fTcKe5m\n7bz7Kq9dv0u9gzUyLUjLkO4YYTZONZdERX0diW7zGLhiwVQm9RjcueASyTA9kPY4kNgubUNJ\nnafVcnmaQSqK/lnhTD8TAp/UdrYNDZU0EYUrTXgaqzv/mQsZtIe6rX0ikApzPG8oOljI/jwS\nTk7XPyiyNSeR99/ZJBBASzQxhHMIDqrP29UtPo+bREE/Gj9FgZSf3Lb0R9ZGv7qeMcODB00c\nvsEHaX8qdbGqA/8GIGWS4E0NKaAKgkG83/7XQEqrgeTIMcYt0iU0H/m8szxmqr2d15gyWY13\nhocz8n4HSB8muHjUKfjko8n62IyIeloGKb/KjZ9ka/oPUR5ZEactRF2G5Phbxlw0iLqmp3Nv\ny6LXmxYjnlCQLtLGOgBXG+w2rWoZgfMVile9riBVYeR8kII/wl0knbXsoqqkm3DsbTFA+vSS\n1f51wHxob63H+zW2WIibYihI6TnX/RXCJl1YK747UbfQ1oavbomGvl4XreHvClIXp99qEBuk\n4ex4veGB5KzN2zTloSMEaUQw2KvA+pVAmgmQXhKQZuCMDoD0iJqgA3kL666SwFjjmgMpXWxP\n1OY97F5UUkF6zsnG5iBcZrWTZYspSM8xSJATfEhezWl0nRxFi6aClIqatYa4RoF0FDwGn1nh\nTtLNiLy6nqEIFiU97hrpvWTgigVTCKTrvWgANzAa6IPUuraRVbwIudnd1SeuwJbkPT5Iv5tB\nFlw9+x2jMXfoW4xZ/InbRzsgXNXO3s/71ZMryP0iRkFGkI7VV98iWtCFq5dMIpCKyRUsVUcD\nZ7X9rj5vZxcVbWASBf1ovM3f/RgSAz4J+3Y/ri/jEWO+DN5HVWcQbCIDdBb8qSdEmPoLQLpe\nQUL2tR8/uf8aSDXMpdhnMT3pvKNSmth/zsXJd8A5sdrJO24zaMDQhBwMlRP0oXtxWkrbgq9o\n0dyCiZKcj4arrn0On6CZl9brCPWpTQLdoJFXBxIWwuCAA+llSa0EKA7K4nWDuyDNxSB+WW9m\n1jbioN9CRk0PrZEpz+vLA54yNbRjB9uWEZ6BI6Mxp1UVpI/dbvI5luK2Viz0ACS+oUNC820r\nLiklH5ywFPenM4GURA80o1FUjg1ZqrOxq4D0x4f4XnMXFX378iB9Co8oH7ltt2vuUEdd2896\nlNmGb/ycGKR7JeS5Gae2ZpRDTuuhxiXoKCBdrn/cNQhSAxMj+2bHE87aKaOJ/aZO1JYAcGxv\n9nK3G+kHGVR0EbGUCciCPuUc7SzxUC0ISNpOZC+BVEP7ttUjkNJ51c6fWHFoNo28drYgaWBp\nv5urr3hNDbmmIasHEjcwGqQgzTXzHgZIhWkt7qmlGHeyxRsB0sHQHOsbvrmuyzIEtwEMtQAA\nIABJREFUpCXYDj5yfC8+I9GAimaKxR2bZAGW+XjCtoME0jLsWp1pA02qB5rRuFUapy1T5x/H\n8P6pIJVyT2+MSRQ9p/FWAoXOv0AcOjWBVNysin51eK+OhX6l1gQvIf3CbDyIe8RW2YxcWgYB\nqb6C9DLvrj300mONaw6kJxKbDfoDq3Zro6VuTe03khqDDSxjgulSXCfVHU7RVUYJqOUSC1Vx\nfmMwkrrubPXaidAjewha/HBdc7yk96qdP7YgZTcwkhxIOGc52OdAagYtThBMJJBuwIF3AOlD\nnbVzzLZwcnDupTBNoZ5ailGOYzAP+r0Z95sjKZbGBKkRVR6kPAKQPnSXtQRN5grb/O27ClJ+\nQ7HFbbrFc8PPZYg/diJTM5mew0QjNUBCp5lwn+Zn/Cc0XKFhfjmQ+EmOAEhJ6B4W1yS8jgx2\n7drvifUmM0h4EPdIh7stAOk6AelRXaEAUvRN9Mc1B9JTJkb2zY4nXKF/Vx+kL9z5DRqt+tX0\nqYdGZ6G7bzVF5ZWAWi6xUE39H+5FdVqnxU4CqSbSlqG75EC6TuWj4dreyIEkgR93+LuePb3X\nJSWbe9RMoHWzjPetc9Rc7FuVY84xF8Z5ILkp1AvtJcJlgTJOESDtCx1K++ZLg8SDQcposB30\ncXpSDasVsuLaYbpJ3sx3bpve0P2kRV/ugeQWjxR6fAyNcDmjv7NcBaqdeU9MfU5bbpVwhvkY\nkyh6TmMon2b5pWZGSapewqyIfnUSE06UAwbFr8FE0ngrSFVFDL8Vzze9REU9kF5iC6gnWhLE\nHNccSE973kbEaOBqdbqp1KyJ9UEL+KvbctOvi54EU9qtkuUNsqB0MJIH0hC61Qkq7N6+ml8p\n2ZZwOXSu0E1eS8QP7VzOYQ5JAUJHO5c1/brHgdRCxRHBeAKpogbVg3NUCvvtcTRT+9KYneYs\n/81CZGd9JWBZtKilT3U/FrPHGHuu4bjooz+eJZCuV5DoTOSlKIlIDFI+PiFlu1oEDNIKBPIZ\npJSJQQqdNbqHKxSkDrzQZPE6BVHMdazn2XhjCIM0UgMWCePot2LNcWMujT0rB9uEY8Rxpyz6\nDu6bgoSrTScgPRYN0jsQS8Uc1xxIz5gYaWw7GrhIbQ8DhcETtiyshA/SMjPwdbSVCYo4s6WC\ngvSQA+k+DSS0oSAOjloMl2MCqZb2EmCQynotEd+3bkpO7bbrQNIDaLa4pb+F5nSDsVSrUEkD\njMFRMidnINcZtDTmHHpoF6ITh8agUVjok1G7geqao7XZaPNb+N7qhGA8S9M4AiRb57YMAtSb\n7SR8T3FPG0+xxe1aR7WPFBkrEcjvSNtzKj2HiccGBmkbupuHz4tynlk9kCgLODaKQzeGsLfr\ngRTvfLGSiS1JN6hwRPtMDSaT1AeJlR7b8HZpBaTH1WZ+ibfHT1VbG2tccyC19LyNiNHAGQS9\n1MTKaguVS/pmwlKzrLuGSrM776gCDlIMQbKJhfsVpNZkMmtf4OBH+u0X9K7dThO3vNc9uasV\n13ggdbBPFE3BggUOpJYeSF/SClzZi1KvpgDHGhiiIXm2GoL/pyCBNBYNjwBSA00t2VM33VAn\nBINByqQ/a+0C4suQ6Emya4tdE7QW8AL5GzuU7b20vxzyQHI3I3UUSKupIjGjWYhvPc7JrRu8\nw42Ku8jruNggDWaQtKdGcMmBVMq7uToOu4+OwFH4685KngOQqsjevR1Xm0a0jA0UpBd5An3+\nHwPpg8ShVRmPu72nt2ZWshBInjI49Lv/1AhPNldQUVHV4TUYJByY0NwtUElVdRTMoyn/GpTd\nwW2ULqrkgdTOmpe5DMKlDiQtoJ3vXLFWnh3XhxKQlTVpFKwiz35rIpAk9wSQxHwM5yNtiR1V\nt2w5cEOXfIxnKO3kgfSa/U6GS+qA/LLV3u2q+P8LtB1Gg3QE874D3Yy0USBNo0Nlsxq1jx7j\nJ3WDd7jR7W7NGheLfBvBpCiHB9JFt2+X0kZR3pjiPrpGdAYxSHBWb4oGKbVMhgbqfL7IJs1w\nrR+LNa45kKZ4bnvEuNuB1EeT+JnNxfzh9PPkI0vsrYVjSiBV8kGyGboHFKQGDqQCHkhzaTts\nre3ZitHcqew16a1lXeZcKvNqb992BH48z6VM/V5sPahNURUPpJWkU9IOFCHVRo+QLEhIjUOj\nsHCOkpPWUVcSV0tgh5qmGLVJVZZJm2u/aj9TNu9Aok17bWs5hCeD8xS22qkg7aHy2iMwD5tT\ndOZWr/c9jWn0+W9QDWwIEhGfLQIke6m/eqf1eONNAUlzURdcLq606Rfj5RPdR9fiFk7JzcX0\nySsg7cDVJj1FcvLQLQBILzBII/5jIB0zf7HFpnJpvOk+SKZKOEe9lMZie2uxfN7gcqje4XLV\nGSQU9DzuNKK3qHwvmEPnFrXWg3mL0dypojLtoKZNYOVWkOxBTt7ZgnOdrPRjtSDDzcDxcJfX\nemA5SSUTgyTqpQICEn6chUtpOvkgDSOQ7g+iRmly/zIrSC/YXTabd47KptAE3a1RFYCkmyR3\nTjoKkGqShKl0FEjDaUe+wSsLfpRt0Gzo7Wq3dzuRz2gnCn+8yRHMBZobOs8gdYvxcteD3zuq\nYSCDhMZEeURrtmM0XnSI65yf0yiOgKSKwpjjmgPJN5IiRkpzKXMQbFTZbiYTLqc9fUd0UYTX\nTyBV1rhUdRd3eFD7vD/uTOYiXjuR76jOv412aypKL7/Lk9I+ZENqeVRO4Pph4Y8GX7ivP9GN\nL2hCIN3ttR7gfjzbE4EkU7YAuXrjcWhjiARJgzr5urq3CSSNYWCUIvcvs5p9ridldjVIg59N\nsWCPNz3OuUtK+6cHEnUyOwZLjE/+Lm10atLoQxLdbF5ZcH2OimT3NvxibqU4o423/TGQxYsr\ndSU95wzge7yiYB0NokBy+70PEkm9k5zxQOIAbTcF6XkWVHz13wIpyV+ClMyJ8H5W2W6KvaEz\n0tN3XH+IcFayuuxfFbXJHnAFGq10zj/mnqjXFziYTXX+bbRb060kpbjLW7prWPVPvkQgoZQ1\ndFzsG8yQ3F9gZQbO1anqgbSYQdIOKc18SyU/Na74XlMBmTlo0llvgEvv21E1iBol6e2z6GL+\nkPXysnt1BxakvRxytuOse7PbvJPkf6IWRMewqxUlk7dyFEi9qbFW9giQyDzO4SkMizmxz1nv\n1nhjAO8gK3VXO+iupatGar1xt/vo2gid9b/zAFJuXsqS6BHVwUEGqVc0SKO0ojnWuAZBGvEX\nP7pob/TPXq/AhQ4kz+/tbW/tG/J/WZ3msooWKuR1ILXTgp7HXAjwVq8vzyw6ZbutHrbNP71b\njmkO7M42xaaDITx2IGma6X1nO85R6VIIkjMY71HNQPC1++3MJ1TX7EwV2cVuopT9T5ptz8Rh\n/M6qW7aBEzvOxzhBvgSt+llU11GDsl9xeMnGEMl9eqJSsM3VFN3ugcS9vI5jVytKBuOT3tSk\n0Ys82xxefX09xiWHJ4wq6jbac96q440BnK9epTBucMtJt5gglTCR6xdXpMyDUi83e6lJfZDY\nAu+teYXnWIo++r8FUgpjhv/FjxZYkDadzOR9o2rwqQ+S8/phBmRxWry71MNPdsnKCTrpnH/M\nGetFvb48M2litcWhftL+6m60BLEgfWO1dACpsH1bSCGC9xwO85XFoBE943s8tia4377Nk2Pe\n5BuISba5ENpPaJYVXM8Kjc5Gb0Bwn4mU+ekoTmrUrJpFq27/eA4DuUywIbSS90unHfv/zo68\n3WsjtoAUE8cRv76VhH5PeQkDGj0p1prTq6+vxzmbnJ6eo6gLDZ2Lfchkf966PJDWu9RWd+k2\nGDFudp+9PP6fj9Sej7hhbo6bJvVyfPsFJC33EJDG6aXHGtcaSDV9tz1yuFrYTXH6je9DkGZ6\nWQoCCatX6rN2H/c9/AsWpHelk631h20zumKeBmEGtdztoK/hhoyPejmgalZM0wLJUwKpCH5M\nIC30puiz9NN7PZDGu89xuyd+yW7/CkokfnZx+LUqJcvIe0sXH6RqbjLFqNYJ/7LrU5VVY5YP\n2uhHTi/yvNbUT31MP2iw3nlyvkL0ewLphAeSu8CnoqIF3Sj7l8sTeNThat9cqm0Mf98mys5r\nyMwf/fhaV+vWsM4pgHrEBCmV++yaC3iDntB85Jyk8UYyz1nYx5Orj7qKz3G57or/Fkh1jfby\nTjSmm5pB6oPe0bTzzcPBNv8Mqnb21upNdz0d7/FBsvGjYdrD8FHnB9+Ooxat9s2B9IH28ChM\nID2tFmKQ3B4e+Ko2O0oE0jAXr/vJA+kZsgureQ6JgISyd3uau1Ed3c/OqFuHrtVBBm4zFgFS\n4QT7S7G85NvoPmRVB6W0tXRyemdNrjFdSvs9Jdc5T66453R+TwKck4hfFyGQnvaEhzSq0LZY\n0gt1s3HpN5IJ0vxh7cYL6qD4IxZILoDX0zscQIc9GRUnAAUWJGczfO+BRAQn86Lne9jc6aOu\nYlMGSU87jTmuNZAeMV67qchh25wU9BoBB/PM4OCMn5NwIKmgYK9dfl70PPzzFqT3fJBsWqMm\nmqTaqjbXluNjPU80G4HU0O+ae+EX+16I6hayb6uW3zDnph2SPp/ulx1ID6pQPRjnEqO3e5ZW\ncNIYRZpAWq9mVgYuiOoacdTpyYg4pTeKEUjeEY/5raVTzUverjRd7/CTduuc31DCC23PdwZQ\nZv2kRci/bBgFUmlSSFZSGUn42ehFef0Hut2GBC+qg+KPR/iX1+iMnul2/d6mU4yXJzsXfnSv\nKW9fBgnbT052zpJ5ebbdAlIcvtWU+5ivjqVD0nGtgVTPRB6Y7Y1pplY4Zz2x+1wzNDjrg9TG\nTiuNCO2xa2t/z8M/b3U57+tuU9/d4joeSF1prn+ifaDTEEjPJHg+/oVfbTAB06tg+K6nMuOn\n3Z216YP0NAmhm+C81hAk9/iK+xAcD/8MPszGU3Z7WK9VttcxSN0jQDoWEV7xRjYBCVF719Dl\nBc8S/tB0u9PvYv+dW3JKeBG5eU4qnt28Ld+4hZy4hlHx61Kk2a8cARLZfxV9la07S+SiCp/8\nUZn9ucNaoz/Z/dU+0Yea27Ej/OheU8c+zihI9qcHEu3Gyb08YdwI+rdvHL7VRECKKbfAuNZA\neu6vQZrqQPKEw9+Zt/Jc8s31O+20Qm/SYJfNJw7wQHKZkg98kOzNq6OHEAXNyfqarD08UtNj\neBZHzIfj/MWcwQKdXsl2GaM2WOg9hZM15RmNV4Q+hQs1NvVAGus8++Je5N211YKgYqMzf/ap\n5ZcmgZbl9yNAWm0/8aNB9MhIvmI2bYBxs7V0XvRsr96mewXfNhrvMlQlPbbnup9m17ZODNLb\nUSCxUquKumShcUlPprJ/ut+2Ta6nbNIgxqjEIB3XD02nXvSNHS7fHn50r6q1nQMptQZ9c/DF\nJPfyuTv4p33VQ2jCT3aNGr2xxrUGUifjSQgixxRTO3RHNI4VzDZvP2h8kApGBkS3WpAGeh7+\nOXv7PtL4cX2nhqxrnsIrmpN9sFBPlklJIDXyDzI5F/q1HkjBzxEgNbfmUyYTAZJLoj6vhweF\ns9hOphI+SFaXgXDWRlfPeuYb/fEBWjE/iDgzeGzkHqwjGqR8dud6yZMZ9DI9KkWCZDUTJT2F\n6By3X+UwOJqjMMVEx2tLch4ljTv/LxIk2l6r+CBt3WQtXBU++aMSxyVPaI0+gfSGtzh6Y6rx\nz/oMnnDR7giQCKDkXpeLJfzTN9RDaCwgxVAseuNaA6mrQQ/3xGNK6BLd4pemzDLvVDe+uV7A\nTitN/C+2ifk3/ZSjBeljBameW30f8azDZpTcXKi2N0taG/sgnTWFU+z32u/NNOYX/eljFqTM\nxouHPUmK1xe8pM3r7JBoCsuBhBKJDS7vetZrQ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UF07/12LRJZil9Ht6fupJP5E/Cr+I6IdJG5FxWmIk00mUf/pCv6KwEkA4lrtbEcOqm/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\n" | |
}, | |
"metadata": { | |
"image/png": { | |
"width": 420, | |
"height": 420 | |
} | |
} | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"Plot with title “Estimated PSD (Raw)”" | |
], | |
"image/png": 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awBfkuvTLusreg6AR24htC87s4V6+8E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o7pDhfMbDsP+McaH9Kue7xJJnW6ZifXH3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\nCwrSywvKPslaVgVJURRFURRl6ZKjjDStEF0D3KtCe3XROUgFzIKL3ceAeSR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1d25LFKPrxBtqGfAb4JIOXEvd5x3AQmz/fvVW4mbZtn9/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| |
}, | |
"metadata": { | |
"image/png": { | |
"width": 420, | |
"height": 420 | |
} | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"# Fit ARMA(3,2) model\n", | |
"model <- arima(strain, order = c(3, 0, 2))\n", | |
"ar <- model$coef[grep(\"^ar\", names(model$coef))]\n", | |
"ma <- model$coef[grep(\"^ma\", names(model$coef))]\n", | |
"sigma2 <- model$sigma2\n", | |
"\n", | |
"# Theoretical PSD from ARMA\n", | |
"arma_psd <- function(freq, ar = numeric(), ma = numeric(), sigma2 = 1) {\n", | |
" omega <- 2 * pi * freq\n", | |
" numerator <- rep(1, length(omega))\n", | |
" denominator <- rep(1, length(omega))\n", | |
"\n", | |
" if (length(ma) > 0) {\n", | |
" for (i in seq_along(ma)) {\n", | |
" numerator <- numerator + ma[i] * exp(-1i * omega * i)\n", | |
" }\n", | |
" }\n", | |
"\n", | |
" if (length(ar) > 0) {\n", | |
" for (i in seq_along(ar)) {\n", | |
" denominator <- denominator - ar[i] * exp(-1i * omega * i)\n", | |
" }\n", | |
" }\n", | |
"\n", | |
" psd <- sigma2 * (Mod(numerator)^2) / (Mod(denominator)^2)\n", | |
" return(psd)\n", | |
"}\n", | |
"\n", | |
"# Frequency vector\n", | |
"f <- seq(0, 0.5, length.out = 512)\n", | |
"psd_vals <- arma_psd(f, ar = ar, ma = ma, sigma2 = sigma2)\n", | |
"\n", | |
"# Raw periodogram via spectrum()\n", | |
"spec <- spectrum(strain, log = \"yes\", main = \"PSD: ARMA vs Raw Periodogram\", plot = FALSE)\n", | |
"\n", | |
"# Overlay both\n", | |
"plot(spec$freq, log10(spec$spec), type = \"l\", col = \"black\", lwd = 2,\n", | |
" xlab = \"Frequency\", ylab = \"log10(PSD)\",\n", | |
" main = \"PSD: ARMA(3,2) vs Raw Periodogram\")\n", | |
"lines(f, log10(psd_vals), col = \"red\", lwd = 2, lty = 2)\n", | |
"legend(\"topright\", legend = c(\"Raw Periodogram\", \"ARMA(3,2) PSD\"),\n", | |
" col = c(\"black\", \"red\"), lty = c(1, 2), lwd = 2)" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 437 | |
}, | |
"id": "I2bY1s42sYaA", | |
"outputId": "8d473004-ce98-42c6-e209-799db8428661" | |
}, | |
"execution_count": 18, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"Plot with title “PSD: ARMA(3,2) vs Raw Periodogram”" | |
], | |
"image/png": 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6nbvMV+uzHdY0ySpLHWyxigvKWICmZ9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\nMP4A4Aj5DWx9jOvCAsBj3quslCZKgaTVIP0UMa/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wDHADsKzFMU9iFza7ThwJ/AV4K8UxRwE7AJ9GrsIbp0AAACAASURBVNH5jvukQlBN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\nRK5CYII=" | |
}, | |
"metadata": { | |
"image/png": { | |
"width": 420, | |
"height": 420 | |
} | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"# Define AIC search grid\n", | |
"max_p <- 7\n", | |
"max_q <- 7\n", | |
"\n", | |
"# Empty matrix to store AICs\n", | |
"aic_matrix <- matrix(NA, nrow = max_p + 1, ncol = max_q + 1,\n", | |
" dimnames = list(p = 0:max_p, q = 0:max_q))\n", | |
"\n", | |
"# Loop over (p,q)\n", | |
"for (p in 0:max_p) {\n", | |
" for (q in 0:max_q) {\n", | |
" try({\n", | |
" model <- arima(strain, order = c(p, 0, q))\n", | |
" aic_matrix[p + 1, q + 1] <- AIC(model)\n", | |
" }, silent = TRUE)\n", | |
" }\n", | |
"}\n", | |
"\n", | |
"# # Plot the AIC surface as a heatmap\n", | |
"# library(ggplot2)\n", | |
"# library(reshape2)\n", | |
"# aic_df <- melt(aic_matrix, varnames = c(\"p\", \"q\"), value.name = \"AIC\")\n", | |
"\n", | |
"# ggplot(aic_df, aes(x = q, y = p, fill = AIC)) +\n", | |
"# geom_tile(color = \"white\") +\n", | |
"# scale_fill_viridis_c(option = \"plasma\", na.value = \"grey90\") +\n", | |
"# labs(title = \"AIC for ARMA(p,q) models\", x = \"q\", y = \"p\") +\n", | |
"# theme_minimal()" | |
], | |
"metadata": { | |
"id": "nDLoOJyMtTOE" | |
}, | |
"execution_count": 23, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"# Assuming you've already created aic_matrix\n", | |
"library(tidyr)\n", | |
"library(dplyr)\n", | |
"library(ggplot2)\n", | |
"\n", | |
"# Convert the AIC matrix into a data frame\n", | |
"aic_df <- as.data.frame(as.table(aic_matrix)) %>%\n", | |
" rename(p = p, q = q, AIC = Freq) %>%\n", | |
" mutate(p = as.numeric(as.character(p)),\n", | |
" q = as.numeric(as.character(q)))\n", | |
"\n", | |
"# Plot\n", | |
"ggplot(aic_df, aes(x = q, y = p, fill = AIC)) +\n", | |
" geom_tile(color = \"white\") +\n", | |
" scale_fill_viridis_c(option = \"plasma\", na.value = \"grey90\") +\n", | |
" labs(title = \"AIC for ARMA(p,q) models\", x = \"q\", y = \"p\") +\n", | |
" theme_minimal()" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 437 | |
}, | |
"id": "yGgHnyUFvJA_", | |
"outputId": "c659308b-5ebe-4054-be99-efb77858fa6e" | |
}, | |
"execution_count": 24, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"plot without title" | |
], | |
"image/png": 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zbOH/7wB+97EH/22WcxMTF33HFHzffd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" | |
}, | |
"metadata": { | |
"image/png": { | |
"width": 420, | |
"height": 420 | |
} | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"best_model <- which(aic_matrix == min(aic_matrix, na.rm = TRUE), arr.ind = TRUE)\n", | |
"p_best <- best_model[1, \"p\"] - 1 # because 1-based indexing\n", | |
"q_best <- best_model[1, \"q\"] - 1\n", | |
"cat(\"Best model: ARMA(\", p_best, \",\", q_best, \"), AIC =\", aic_matrix[p_best + 1, q_best + 1], \"\\n\")\n" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "3MByxJsKu3RU", | |
"outputId": "7aaec1f4-677d-4308-c81c-4c0841f9c0ec" | |
}, | |
"execution_count": 25, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Best model: ARMA( 5 , 3 ), AIC = -1508134 \n" | |
] | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"model <- arima(strain, order = c(p_best, 0, q_best))\n", | |
"ar <- model$coef[grep(\"^ar\", names(model$coef))]\n", | |
"ma <- model$coef[grep(\"^ma\", names(model$coef))]\n", | |
"sigma2 <- model$sigma2\n", | |
"\n", | |
"f <- seq(0, 0.5, length.out = 512)\n", | |
"psd_vals <- arma_psd(f, ar = ar, ma = ma, sigma2 = sigma2)\n", | |
"\n", | |
"spec <- spectrum(strain, log = \"yes\", plot = FALSE)\n", | |
"plot(spec$freq, log10(spec$spec), type = \"l\", col = \"black\", lwd = 2,\n", | |
" xlab = \"Frequency\", ylab = \"log10(PSD)\",\n", | |
" main = sprintf(\"PSD: ARMA(%d,%d) vs Raw Periodogram\", p_best, q_best))\n", | |
"lines(f, log10(psd_vals), col = \"red\", lwd = 2, lty = 2)\n", | |
"legend(\"topright\", legend = c(\"Raw Periodogram\", sprintf(\"ARMA(%d,%d) PSD\", p_best, q_best)),\n", | |
" col = c(\"black\", \"red\"), lty = c(1, 2), lwd = 2)\n" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 437 | |
}, | |
"id": "zUiy-DcAu_X1", | |
"outputId": "08490d59-ca60-42da-d06f-219e00d61f31" | |
}, | |
"execution_count": 26, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"Plot with title “PSD: ARMA(5,3) vs Raw Periodogram”" | |
], | |
"image/png": 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hGY1QvZ2Rq1QUqImsT10udrDWmf/6JR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LqAapep6uuwMF0xQTOxuh5YAC2hkHLGLZXhNpkqWZqigAACAASURBVGBh9mUYcCiw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\ngGMKOp7D60bQloD0f4CfAzcDPwZ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mr9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\nrkJggg==" | |
}, | |
"metadata": { | |
"image/png": { | |
"width": 420, | |
"height": 420 | |
} | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [], | |
"metadata": { | |
"id": "H9Zp_zUovQ7i" | |
}, | |
"execution_count": null, | |
"outputs": [] | |
} | |
] | |
} |
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