From 048075f69a54f3a66917397fa0b1f5c31c9bd97e Mon Sep 17 00:00:00 2001 From: Parth Badgujar Date: Thu, 6 Jul 2023 21:30:34 +0530 Subject: [PATCH 1/2] Add Assignments --- .../Assignment 2B-checkpoint.ipynb | 822 + .../Parth_Assignment2B/Assignment 2B.ipynb | 822 + assMath/ass2B/Parth_Assignment2B/IMG_2188.jpg | Bin 0 -> 351488 bytes .../ass2B/Parth_Assignment2B/test_set_A.csv | 1001 + .../ass2B/Parth_Assignment2B/test_set_B.csv | 1001 + .../ass2B/Parth_Assignment2B/test_set_C.csv | 1001 + .../ass2B/Parth_Assignment2B/train_set_A.csv | 100001 ++++++++ .../ass2B/Parth_Assignment2B/train_set_B.csv | 100001 ++++++++ .../ass2B/Parth_Assignment2B/train_set_C.csv | 100001 ++++++++ .../Assignment 2A-checkpoint.ipynb | 369 + .../Parth_Assignment2A/Assignment 2A.ipynb | 369 + .../ass2a/Parth_Assignment2A/Assignment2A.pdf | Bin 0 -> 2426690 bytes assMath/ass2a/Parth_Assignment2A/dataset.csv | 200001 +++++++++++++++ assMath/probStat/Parth_Assignment1.pdf | Bin 0 -> 2340509 bytes 14 files changed, 505389 insertions(+) create mode 100644 assMath/ass2B/Parth_Assignment2B/.ipynb_checkpoints/Assignment 2B-checkpoint.ipynb create mode 100644 assMath/ass2B/Parth_Assignment2B/Assignment 2B.ipynb create mode 100644 assMath/ass2B/Parth_Assignment2B/IMG_2188.jpg create mode 100644 assMath/ass2B/Parth_Assignment2B/test_set_A.csv create mode 100644 assMath/ass2B/Parth_Assignment2B/test_set_B.csv create mode 100644 assMath/ass2B/Parth_Assignment2B/test_set_C.csv create mode 100644 assMath/ass2B/Parth_Assignment2B/train_set_A.csv create mode 100644 assMath/ass2B/Parth_Assignment2B/train_set_B.csv create mode 100644 assMath/ass2B/Parth_Assignment2B/train_set_C.csv create mode 100644 assMath/ass2a/Parth_Assignment2A/.ipynb_checkpoints/Assignment 2A-checkpoint.ipynb create mode 100644 assMath/ass2a/Parth_Assignment2A/Assignment 2A.ipynb create mode 100644 assMath/ass2a/Parth_Assignment2A/Assignment2A.pdf create mode 100644 assMath/ass2a/Parth_Assignment2A/dataset.csv create mode 100644 assMath/probStat/Parth_Assignment1.pdf diff --git a/assMath/ass2B/Parth_Assignment2B/.ipynb_checkpoints/Assignment 2B-checkpoint.ipynb b/assMath/ass2B/Parth_Assignment2B/.ipynb_checkpoints/Assignment 2B-checkpoint.ipynb new file mode 100644 index 0000000..1516996 --- /dev/null +++ b/assMath/ass2B/Parth_Assignment2B/.ipynb_checkpoints/Assignment 2B-checkpoint.ipynb @@ -0,0 +1,822 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 551, + "id": "da0f1a87", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import time\n", + "from scipy.special import factorial\n", + "from tqdm import tqdm" + ] + }, + { + "cell_type": "markdown", + "id": "d7d8032b", + "metadata": {}, + "source": [ + "## Q1 A" + ] + }, + { + "cell_type": "markdown", + "id": "d122719e", + "metadata": {}, + "source": [ + "Usually in linear regression problems the data is distributed around the ground truth with some standard deviation where the ground truth value depends upon x and weights, thus we need to estimate the central value around which the data is distributed that is the mean / expectation of Y|X \n", + "For better understanding checkout the below image where black line is ground truth with red points along it, around each point there is data distributed in blue points following the pdf curve (blue curve), since we want to estimate the ground truth (i.e. the black line equation) so we should be estimating the red points which turn out to be the mean of that distribution (blue curve) hence our goal becomes to estimate E(Y|X)." + ] + }, + { + "attachments": { + "IMG_2188.jpg": { + "image/jpeg": 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BQAUAFAHjPxk/5pV/2WbwN/7lKAPZqACgAoAKACgAoAKACgDjPiP/AMk88ef9iZ4o/wDTHfUAHw4/5J54D/7Ezwv/AOmOxoA7OgAoAKACgAoAKACgAoA8Z8E/8le+N/8A3TX/ANRi7oA9moAKACgAoAKACgAoAKAPGfG3/JXvgh/3Ur/1GLSgD2agAoAKACgAoAKACgAoA8Z/aD/5JD4u/wC4B/6k+i0AezUAFABQAUAFABQAUAFABQB4z8G/+aq/9lm8c/8AuLoA9moAKACgAoAKACgAoAKAPGf+bhf+6M/+7vQB7NQAUAFABQAUAFABQAUAeM/tB/8AJIfF3/cA/wDUn0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4/8A+pPrVAHs1ABQAUAFABQAUAFABQB4z4J/5K98b/8Aumv/AKjF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/uUoA9moAKACgAoAKACgAoAKAOM+I//JPPHn/YmeKP/THfUAHw4/5J54D/AOxM8L/+mOxoA7OgAoAKACgAoAKACgAoA8Z8E/8AJXvjf/3TX/1GLugD2agAoAKACgAoAKACgAoA8Z8bf8le+CH/AHUr/wBRi0oA9moAKACgAoAKACgAoAKAOM+I/wDyTzx5/wBiZ4o/9Md9QAfDj/knngP/ALEzwv8A+mOxoA7OgAoAKACgAoAKACgAoA/Jr4j/APJQ/Hn/AGOfij/0+X1AH//U/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1ABQAUAFABQAUAFABQB4z4J/5K98b/APumv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df+5SgD2agAoAKACgAoAKACgAoA4z4j/wDJPPHn/YmeKP8A0x31AB8OP+SeeA/+xM8L/wDpjsaAOzoAKACgAoAKACgAoAKAPGfBP/JXvjf/AN01/wDUYu6APZqACgAoAKACgAoAKACgDxnxt/yV74If91K/9Ri0oA9moAKACgAoAKACgAoAKAPGf2g/+SQ+Lv8AuAf+pPotAHs1ABQAUAFABQAUAFABQAUAeM/Bv/mqv/ZZvHP/ALi6APZqACgAoAKACgAoAKACgDxn/m4X/ujP/u70AezUAFABQAUAFABQAUAFAHjP7Qf/ACSHxd/3AP8A1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/APqT61QB7NQAUAFABQAUAFABQAUAeM+Cf+SvfG//ALpr/wCoxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/7lKAPZqACgAoAKACgAoAKACgDjPiP/yTzx5/2Jnij/0x31AB8OP+SeeA/wDsTPC//pjsaAOzoAKACgAoAKACgAoAKAPGfBP/ACV743/901/9Ri7oA9moAKACgAoAKACgAoAKAPGfG3/JXvgh/wB1K/8AUYtKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoAKACgAoAKACgAoAKAPya+I/wDyUPx5/wBjn4o/9Pl9QB//1f7kv+Mhf+qM/wDl70AH/GQv/VGf/L3oAP8AjIX/AKoz/wCXvQAf8ZC/9UZ/8vegA/4yF/6oz/5e9AHmf/F5P+Fyf80z/wCEs/4Vn/1NX/CPf8I9/wAJT/4Mv7a/tL/tx+w/9PFAHpn/ABkL/wBUZ/8AL3oAP+Mhf+qM/wDl70AH/GQv/VGf/L3oAP8AjIX/AKoz/wCXvQAf8ZC/9UZ/8vegA/4yF/6oz/5e9AB/xkL/ANUZ/wDL3oAP+Mhf+qM/+XvQB5n8Yv8Ahcn/AArjxF/wlf8AwrP+wP8AiUfb/wDhHv8AhKv7Y/5Dul/Zfsn9pf6F/wAfv2b7R53/AC6+f5f73ZQB6Z/xkL/1Rn/y96AD/jIX/qjP/l70AH/GQv8A1Rn/AMvegA/4yF/6oz/5e9AB/wAZC/8AVGf/AC96AD/jIX/qjP8A5e9AB/xkL/1Rn/y96AD/AIyF/wCqM/8Al70AH/GQv/VGf/L3oA8z+Dv/AAuT/hXHh3/hFP8AhWf9gf8AE3+wf8JD/wAJV/bH/Id1T7V9r/s3/Qv+P37T9n8n/l18jzP3u+gD0z/jIX/qjP8A5e9AB/xkL/1Rn/y96AD/AIyF/wCqM/8Al70AH/GQv/VGf/L3oAP+Mhf+qM/+XvQAf8ZC/wDVGf8Ay96AD/jIX/qjP/l70AH/ABkL/wBUZ/8AL3oA8z8Lf8Lk/wCFj/FP+zf+FZ/2/wD8UP8A8JJ9u/4Sr+x/+QFcf2P/AGH5H+m/8eW/+0vt/wDy9bPsv7rdQB6Z/wAZC/8AVGf/AC96AD/jIX/qjP8A5e9AB/xkL/1Rn/y96AD/AIyF/wCqM/8Al70AH/GQv/VGf/L3oAP+Mhf+qM/+XvQAf8ZC/wDVGf8Ay96AD/jIX/qjP/l70AeZ/Ev/AIXJ/wAW/wD+Eh/4Vn/yU3wr/Yf9jf8ACVf8jD/p/wDZn9q/bf8AmDf6/wC3fZP9O/1X2f8AjoA9M/4yF/6oz/5e9AB/xkL/ANUZ/wDL3oAP+Mhf+qM/+XvQAf8AGQv/AFRn/wAvegA/4yF/6oz/AOXvQAf8ZC/9UZ/8vegA/wCMhf8AqjP/AJe9AB/xkL/1Rn/y96AOZ8a/8L0/4Q3xb/a//Cpv7J/4RnXv7U/s3/hMf7R/s7+yrr7b9g+1f6N9t+zeb9l+0fuPP8vzv3e6gA8Ff8L0/wCEN8Jf2R/wqb+yf+EZ0H+y/wC0v+Ex/tH+zv7KtfsX2/7L/o3237N5X2r7P+48/wAzyf3e2gDpv+Mhf+qM/wDl70AH/GQv/VGf/L3oAP8AjIX/AKoz/wCXvQAf8ZC/9UZ/8vegA/4yF/6oz/5e9AB/xkL/ANUZ/wDL3oAP+Mhf+qM/+XvQAf8AGQv/AFRn/wAvegDzPwt/wuT/AIWP8U/7N/4Vn/b/APxQ/wDwkn27/hKv7H/5AVx/Y/8AYfkf6b/x5b/7S+3/APL1s+y/ut1AHpn/ABkL/wBUZ/8AL3oAP+Mhf+qM/wDl70AH/GQv/VGf/L3oAP8AjIX/AKoz/wCXvQAf8ZC/9UZ/8vegA/4yF/6oz/5e9AB/xkL/ANUZ/wDL3oAP+Mhf+qM/+XvQB5n4p/4XJ/wsf4Wf2l/wrP8At/8A4rj/AIRv7D/wlX9j/wDICt/7Y/tzz/8ATf8Ajy2f2b9g/wCXrf8Aav3W2gD0z/jIX/qjP/l70AH/ABkL/wBUZ/8AL3oAP+Mhf+qM/wDl70AH/GQv/VGf/L3oAP8AjIX/AKoz/wCXvQAf8ZC/9UZ/8vegA/4yF/6oz/5e9AB/xkL/ANUZ/wDL3oA8z+MX/C5P+FceIv8AhK/+FZ/2B/xKPt//AAj3/CVf2x/yHdL+y/ZP7S/0L/j9+zfaPO/5dfP8v97soA9M/wCMhf8AqjP/AJe9AB/xkL/1Rn/y96AD/jIX/qjP/l70AH/GQv8A1Rn/AMvegA/4yF/6oz/5e9AB/wAZC/8AVGf/AC96AD/jIX/qjP8A5e9AB/xkL/1Rn/y96AD/AIyF/wCqM/8Al70AeZ/DT/hcn/FwP+Ee/wCFZ/8AJTfFX9uf2z/wlX/Iw/6B/af9lfYv+YN/qPsP2v8A07/W/aP4KAPTP+Mhf+qM/wDl70AH/GQv/VGf/L3oAP8AjIX/AKoz/wCXvQAf8ZC/9UZ/8vegA/4yF/6oz/5e9AB/xkL/ANUZ/wDL3oAP+Mhf+qM/+XvQAf8AGQv/AFRn/wAvegDzP/i8n/C5P+aZ/wDCWf8ACs/+pq/4R7/hHv8AhKf/AAZf21/aX/bj9h/6eKAPTP8AjIX/AKoz/wCXvQAf8ZC/9UZ/8vegA/4yF/6oz/5e9AB/xkL/ANUZ/wDL3oAP+Mhf+qM/+XvQAf8AGQv/AFRn/wAvegA/4yF/6oz/AOXvQAf8ZC/9UZ/8vegDzP4xf8Lk/wCFceIv+Er/AOFZ/wBgf8Sj7f8A8I9/wlX9sf8AId0v7L9k/tL/AEL/AI/fs32jzv8Al18/y/3uygD0z/jIX/qjP/l70AH/ABkL/wBUZ/8AL3oAP+Mhf+qM/wDl70AH/GQv/VGf/L3oAP8AjIX/AKoz/wCXvQAf8ZC/9UZ/8vegA/4yF/6oz/5e9AB/xkL/ANUZ/wDL3oAP+Mhf+qM/+XvQB5n8Hf8Ahcn/AArjw7/win/Cs/7A/wCJv9g/4SH/AISr+2P+Q7qn2r7X/Zv+hf8AH79p+z+T/wAuvkeZ+930Aemf8ZC/9UZ/8vegA/4yF/6oz/5e9AB/xkL/ANUZ/wDL3oAP+Mhf+qM/+XvQAf8AGQv/AFRn/wAvegA/4yF/6oz/AOXvQAf8ZC/9UZ/8vegA/wCMhf8AqjP/AJe9AHmfhb/hcn/Cx/in/Zv/AArP+3/+KH/4ST7d/wAJV/Y//ICuP7H/ALD8j/Tf+PLf/aX2/wD5etn2X91uoA9M/wCMhf8AqjP/AJe9AB/xkL/1Rn/y96AD/jIX/qjP/l70AH/GQv8A1Rn/AMvegA/4yF/6oz/5e9AB/wAZC/8AVGf/AC96AD/jIX/qjP8A5e9AB/xkL/1Rn/y96APM/iX/AMLk/wCLf/8ACQ/8Kz/5Kb4V/sP+xv8AhKv+Rh/0/wDsz+1ftv8AzBv9f9u+yf6d/qvs/wDHQB6Z/wAZC/8AVGf/AC96AD/jIX/qjP8A5e9AB/xkL/1Rn/y96AD/AIyF/wCqM/8Al70AH/GQv/VGf/L3oAP+Mhf+qM/+XvQAf8ZC/wDVGf8Ay96AD/jIX/qjP/l70Acz41/4Xp/whvi3+1/+FTf2T/wjOvf2p/Zv/CY/2j/Z39lXX237B9q/0b7b9m837L9o/cef5fnfu91AB4K/4Xp/whvhL+yP+FTf2T/wjOg/2X/aX/CY/wBo/wBnf2Va/Yvt/wBl/wBG+2/ZvK+1fZ/3Hn+Z5P7vbQB03/GQv/VGf/L3oAP+Mhf+qM/+XvQAf8ZC/wDVGf8Ay96AD/jIX/qjP/l70AH/ABkL/wBUZ/8AL3oAP+Mhf+qM/wDl70AH/GQv/VGf/L3oAP8AjIX/AKoz/wCXvQB5n4W/4XJ/wsf4p/2b/wAKz/t//ih/+Ek+3f8ACVf2P/yArj+x/wCw/I/03/jy3/2l9v8A+XrZ9l/dbqAPTP8AjIX/AKoz/wCXvQAf8ZC/9UZ/8vegA/4yF/6oz/5e9AB/xkL/ANUZ/wDL3oAP+Mhf+qM/+XvQAf8AGQv/AFRn/wAvegA/4yF/6oz/AOXvQAf8ZC/9UZ/8vegDzPxT/wALk/4WP8LP7S/4Vn/b/wDxXH/CN/Yf+Eq/sf8A5AVv/bH9uef/AKb/AMeWz+zfsH/L1v8AtX7rbQB6Z/xkL/1Rn/y96AD/AIyF/wCqM/8Al70AH/GQv/VGf/L3oAP+Mhf+qM/+XvQAf8ZC/wDVGf8Ay96AD/jIX/qjP/l70AH/ABkL/wBUZ/8AL3oAP+Mhf+qM/wDl70Acz41/4Xp/whvi3+1/+FTf2T/wjOvf2p/Zv/CY/wBo/wBnf2VdfbfsH2r/AEb7b9m837L9o/cef5fnfu91AB4K/wCF6f8ACG+Ev7I/4VN/ZP8AwjOg/wBl/wBpf8Jj/aP9nf2Va/Yvt/2X/Rvtv2byvtX2f9x5/meT+720AdN/xkL/ANUZ/wDL3oAP+Mhf+qM/+XvQAf8AGQv/AFRn/wAvegA/4yF/6oz/AOXvQAf8ZC/9UZ/8vegA/wCMhf8AqjP/AJe9AB/xkL/1Rn/y96AD/jIX/qjP/l70Afnn41/tH/hMvFv9r/Yv7W/4SbXv7U/s3z/7O/tH+1br7b9g+1f6T9i+0+b9l+0fv/I8vzv3m6gD/9b+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAFABQAUAFABQAUAFAHjPgn/kr3xv8A+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/7lKAPZqACgAoAKACgAoAKACgDjPiP/AMk88ef9iZ4o/wDTHfUAHw4/5J54D/7Ezwv/AOmOxoA7OgAoAKACgAoAKACgAoA8Z8E/8le+N/8A3TX/ANRi7oA9moAKACgAoAKACgAoAKAPGfG3/JXvgh/3Ur/1GLSgD2agAoAKACgAoAKACgAoA8Z/aD/5JD4u/wC4B/6k+i0AezUAFABQAUAZus6xpnh/SdR1zWbyDT9J0mzuNQ1C+uXEcFraWsbSzSyO3GFRTgDLO2EUFiqtjicTQweHrYrE1I0cPh6c6tarN2jCnBc0pN67JPS129FdtHJj8fhMrwWKzHH4inhcFgqFXE4rEVZKNOjQowc6k5N2WkVot5PRXbsflRbf8FK727+J0GlweBdNf4c3OuRaVDe/abweJWsJrtbaPV9pcWQdgwn+wG3yIf3ZlE2TX4JDxrqVM8hQhldF5NPFRoRq89X666UqigsRq1Su7qfsnT+H3bqWp/FVH6XWIr8YUsFS4bwkuE62YwwVPEe1xCziWGqVlRhjrOSw6k7qr9WdL+H7rkqiufrQrB1VlOVYBlPTIIyDg4IyD3H5V/QKd0mtnqj+301JKS1TSafdPVb67dxaBhQB4z8G/wDmqv8A2Wbxz/7i6APZqACgAoAKACgAoAKACgDxn/m4X/ujP/u70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/cA/8AUn0WgD2agAoAKACgAoAKACgAoAKAPGf2fP8AkkPhH/uP/wDqT61QB7NQAUAFABQAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgAoAKACgAoAKAIp54LWCa5uZore3t4pJ5555EihghiQvLNNK5VI4o0UvJI7KiKpZiACamUowjKc5RhCEXKc5NRjGMVeUpSdlGMUm227Jau2pFSpTo06lWrUhSpUoSqVatSUYU6dOEXKdSpOTUYQhFOUpSajGKbbSTZ4lqnxU+HPxE8B/E628D+M/D/AInuNI8H+J01K30jUIbma0zo1+geSIHeYi42CdFaEthd4LKG8vLc+ybOJVoZXmWDx08O7VoYetGcqetruO7jdW50uRvTS6Pm+H+NOFOKqmLo8OcQZXnNXAS5cXSwOLp1qlB35bzgrScOZcvtIqVNuy5k2lLv/hx/yTzwH/2Jnhf/ANMdjXrH052dABQAUAFABQAUAFABQB4z4J/5K98b/wDumv8A6jF3QB7NQAUAFABQAUAFABQAUAeM+Nv+SvfBD/upX/qMWlAHs1ABQAUAFABQAUAFABQBxnxH/wCSeePP+xM8Uf8ApjvqAD4cf8k88B/9iZ4X/wDTHY0AdnQAUAFABQAUAFABQAUAfk18R/8Akofjz/sc/FH/AKfL6gD/1/7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQAUAFABQAUAFABQAUAeM+Cf+SvfG/wD7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/uUoA9moAKACgAoAKACgAoAKAOM+I/8AyTzx5/2Jnij/ANMd9QAfDj/knngP/sTPC/8A6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/wDdNf8A1GLugD2agAoAKACgAoAKACgAoA8Z8bf8le+CH/dSv/UYtKAPZqACgAoAKACgAoAKACgDxn9oP/kkPi7/ALgH/qT6LQB7NQAUAFABQB+O3/BQn9o+TUdQk+BfhC/xp2nPDcePL21kx9r1AYltvDvmI5JgsgY7nUYztD3LRQPvWFw385eL/Gcq1Z8LZdV/c0nGea1Kcv4lZO8MHdbxpaTrJvWbjFqXL7v8GfSk8WZ4rFT8N8ixNsLhZU6nE2Iozf7/ABStOjlXNHenh1y1cVD3VKs405cyhJR8o/YT/Zvb4o+MV+I3iqxZvAngq9iltYZ0xD4g8SwlZrS0TcCJbLTGC3d8VBVpRb2xZS714HhVwY88zJZzj6TeVZZVjKnGS93GY2PvQpq6fNSou1SrbRy5YXV5I+J+jb4TPjLPlxXnWHb4b4exNOdGnUi/Z5pm1NqpRoRukp4fCNRrYnl5k5+zpOUW5o/eCv6sP9KQoAKAPGfg3/zVX/ss3jn/ANxdAHs1ABQAUAFABQAUAFAHg3xY/aV+EPwV1XStE8e+IpLHVtXjW4hsLGwutTuLazeQxJfX62qsLS1eRXCNIfMcI7JGVG6vlM/414e4Zr4fC5tjXSxGJipxpUqNSvOFJycVVqqH8Om5JpN3k+VtQasz80438XOBfD3G4HLuJs2lhsdj4qrTw2Gw1fF1aOHlNwjicSqEJ+woylGSi52lLlk1FxSYuj6vpniD44adrei3sGo6Tq3wNt7/AE6/tX8y3u7O68ZrLBPE3BKvGwOCFZT8rqrKyr9Lh8RQxdCjisNVhWw+IpwrUasHeFSnUipQnF9nFp62a2aTTR+gYHHYPM8Fhcxy/EUsXgcbQpYrC4mjLmpV6FaCnSqQfaUZJ2dpLaSUk0e8VsdYUAFABQAUAFABQAUAeM/tB/8AJIfF3/cA/wDUn0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4/8A+pPrVAHs1ABQAUAFABQByvjXxr4Z+HnhnVPF/i/VIdH0DR4RNe3swd8b3EcUMMUYaWe4nlZYoIIlZ5HYAbRl14MzzPBZPgq+Y5jXjhsJho81WrK7tdqMYxjG8pznJqMYxTbb6auPjcQcQZRwtlGNz3PcbTwGWYCn7TEYipzO15KEKdOEU51KtWcowp04RlKUpbJJs4T4RfHz4YfG+01C4+H2v/2hNpTquoaZe202m6taxucRXL2NyBK1pMQVS4i3R7xscq5UN5XD3FmR8UU6s8oxftpUHatQqU5Ua9NP4ZulO7dOXScXKN9HytWPmuBvE3g7xFoYmtwvmf1qpg5JYrB4ijUwmNoxlpCrLDVoxm6M3pGrDmimuWTTcVL2WvpD748Z8E/8le+N/wD3TX/1GLugD2agAoAKACgDx34u/Hj4Z/A+x06++IOuNp7avM8Wm2FlaT6jqd2IsefPHZWwMgtoN6CWeTbGGYIhZ9wX5ziHivJOF6VGrm+KdF4iTjQpU6cq1epy/HKNOFmoQuuacpRV3ZXd0fB8deJXCHhzhsLieKcyeFeOqShhMLh6FXF4yuoW9pUhh6KlNUafNFTqTUY3douTTUe48FeNfDPxD8M6X4v8IapDrGgaxCZrK9hDpnY5jlhmikCywXEEqtFPBKqvG6kHcMO3qZZmeCzjBUMxy6vHE4TEx5qVWN1ezcZRlGVpQnCScZRkk0110cvo+H+IMo4pyjBZ7kWNp4/LMfT9ph8RT5le0nCdOpCSU6dWlOMoVKc4xlGUdmmmdVXeeyFAHjPxk/5pV/2WbwN/7lKAPZqACgAoAKACgAoAKAOA+Kngyf4ifDjxp4HttSfSLnxR4f1DSLfUo9xNpNdQkRSMEZXMRcBJgp3GFpAoY/LXk59lss4ybMsrhWeHnjsHWw8Kyv8Au5VItRbtd8rdlOyvyOSV7nzHGmQVOKuE+IOHKOLlgKuc5XisDSxcL3oVK1NqEny2lyOVo1OXV05Std6H8315D8S/2dPiJrGjXBu/DviXTYr/AEXU4AzfYtY0XU7eW0uEzjytQ0nVLORnglAKnKyIUniIT+NqVXPuA+IXbnweY4Cryzg7ujiaLeqeqVbDV4apq6ad04SR/lJh8Txn4MccycVVyvPclxDp1aUrvC4/CSesZL4MVgMbSV4yV001JWnG0f3x/Zd+MvhL4vfCvw1LoN0keseGtE0bQfEuiSuovdM1DTtPt7RpfLyWksLwwmayuQNro3lviVHFf1rwlxZl/FuWQxuEap4imowxuDcv3mGrW1VrtypT1dKptJaO8k3L/Tnww8TMk8Tcgp5rls40MfQUKWb5TOaeIy/FNaq1+aphqjTlh6yVpR912mpc30fX1R+khQAUAFABQAUAFABQB4z4J/5K98b/APumv/qMXdAHs1ABQAUAFABQAUAFABQB4z42/wCSvfBD/upX/qMWlAHs1ABQAUAFABQAUAFABQBxnxH/AOSeePP+xM8Uf+mO+oAPhx/yTzwH/wBiZ4X/APTHY0AdnQAUAFABQAUAFABQAUAfk18R/wDkofjz/sc/FH/p8vqAP//Q/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1ABQAUAFABQAUAFABQB4z4J/5K98b/APumv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df+5SgD2agAoAKACgAoAKACgAoA4z4j/wDJPPHn/YmeKP8A0x31AB8OP+SeeA/+xM8L/wDpjsaAOzoAKACgAoAKACgAoAKAPGfBP/JXvjf/AN01/wDUYu6APZqACgAoAKACgAoAKACgDxnxt/yV74If91K/9Ri0oA9moAQkKCzEAAEkk4AA5JJOAAByST+WKAbSTbdktW3sl3e23r9x5dqXxv8Ag7o88trqfxQ8CWdxBI0U0E3ijSBLFKp2tG6LdMyup4ZSMqeCCSQvhVuJ+HMPKUK+eZVTnFtSjLHYfmi1umlUdmuqfztZ8vxmL8ReAsDUnRxnGPDdCrTlKFSnPOMCpwlHSUZRVeTUovdNXXnvH0PS9V0zW7C11XR9Qs9U0y+iWez1DT7mG7s7qFukkFxA8kUi5BGUY4YFTgghfYoYihiqNPEYatTr0KseanWozjUpzj3jOLcWumj30dmj6rB43B5jhaONwGKw+NweIgqlDFYWtTr4etTe06dWlKVOcel4yeujs1Yv1qdIUAFABQB4z+0H/wAkh8Xf9wD/ANSfRaAPZqACgAoA+bv2p/jhB8CfhVqfiG2aN/E+sM2heErVyDu1a5hctfuhK74NKgDXkoGdzrBHg+Zhvi+POKIcK5DXxkHF47Et4XL6be+InFt1Wrq8KEU6krJ68kdOY/JfGjxGp+G3BeLzSk4SznHyeW5HRk98bWhJvEuOnNTwVO9eaT1kqcNOc/n38B+DfFXxn+I+k+GNOafUfEPi7WWe9v5y8pjFxMbnVNXvpfmxFbRGa6nkbAJAQYZkC/yLlOW4/ibOsPgaLnWxmY4lurWleXKpyc6+Iqyt8MI81STaV9tLo/y94ZyDOvEDizBZPhJVMXmue49yxGKq3m4e1m6uMx2IlpaFKDqVqkm7O3KrOSP6HJ9Y+FX7J3wj0Gx1rUU0Pwt4ft7XSLVkt3udS1nVJEaS4litLdTPeX97Ks93O3Koud8oRUWv7Cnicg4A4ewlLE1lhcBg4U8NTahKdbE15Jyk404e9UrVZKdSb2S3lFKKP9T6uP4K8EuBstw+YYqGW5LlVKjgaLhSnWxeYY2cXOrOFGkpVa+KxM1Vr1ZNSUVfmkkoHb/DD4r+BvjD4aTxX4C1hdW0r7RJaXCvDLaXtheRhWa1vrKcLNbTbHSRNwKSIwaN2+YL6eR5/lfEeCWPynErEUOd053jKnVpVI2bp1aUvehKzTWrjJO8W7M+i4O414c48yiOd8M49Y7BOrKhVUqc6OIw1eCUnRxOHqqNSlU5ZRmrrllGScW9T0avZPqwoA8Z+Df/ADVX/ss3jn/3F0AezUAFABQAUAFABQAUAfhj/wAFKtBbT/jb4f1zny/EHgbT8E5x5mk6hqFpIByRwjwk4x97kHOa/lrxrwro8T4PFa8uLyulbtzUK1anK3ycNPn1P84fpc5a8L4iZXmOvLmnDmFs+nPgsViqEkvSMqbf+L1Prj9iLXxr+nfDpt259I+COqaBJyCVOl/E28ijU+m23aEAHB249i37N4YYv63wVk7vd4eFfCSvunQxFRJP/txxttpa3eX9Y/R2zNZn4RcKO95YGljcsnrezwWOxEIJ9rUnTsu1vI/Ravvz9tCgAoAKACgAoAKACgDxn9oP/kkPi7/uAf8AqT6LQB7NQAUAFABQAUAFABQAUAFAHjP7Pn/JIfCP/cf/APUn1qgD2agAoAKACgAoA8a+PnwitPjh8MNf+H1zfyaXNqBtb3TNQUF47XVtNmFzYvcxDmW1aVfLuI1w3luXTLqor5vizh6nxRkeLyidV0JVuSpQrLVU8RRkp0nOOnNTbXLNb8srq7SR8D4m8DUPEXg7NOF62Jlg6mK9jiMHiormjRx2EqKthpVoKznRc1yVYrXkk5RvKMUfz7kfFn9lb4sf8vfhrxf4busgje+m63prv2+7Dqei6nCO+VIP3Y54vk/kW3EHAXEH/LzBZjgqmj1dDE0X98a+GrR9V5RlG5/l41xv4Lcbf8vsoz3Ka2j1lhMwwkpfKnjMvxkFtqmv5KkE4/vD+zl+0b4T/aC8KLqOmvFpnivTIoY/E/heSYNc2Fww2/bLPdh7rSbpwxt7lQxiP+j3GJl3N/VnBvGWX8X5eq1FxoY+hGKx2Bcvfoz29pTvrUw9R35J/Z+CdpK8v9KvCjxXyTxQySOKwkoYTO8HCEc5yaU06uFquy9vQv71bBVpJujV3i/3VS003LpvBP8AyV743/8AdNf/AFGLuvsj9XPZqACgAoA5rxj4u0LwH4Y1rxd4lvY9P0TQbCfUL+5kIGI4VysUSn/WXE8m2GCNeZJnRR1NcWY5hhcqwOJzDG1Y0cLhKU61Wcv5YrSMVpec3aMI396UktDyM+zzLeGsnzDPc3xEcLl2WYapisTWm18FNXUIJ/FVqy5adKC1nUlGPVH84fxX+IvjX9p34wtqMNrdXd7r2pQ6D4M8OQlpBp2mtOY9OsYkXKiRgxutQuBkNM000jbEXb/GXEGc5nxxxG60KdSpUxdaGFy3BRvL2NFz5aNKKV0pO/PWmlrK8ndKx/k5xtxXxB4wcePF06FaviczxdPLcgyqnzTWFwjqcuFw8IpySk0/bYqpazm6lScnGPu/vr+zz8JY/gn8KPDXgE3Zvr6yjn1DWLrOYpNZ1SX7XqC2w/htYZm8iDruSPzDgviv604Q4fjwzkGByn2jq1aUZVcTU+zLE13z1uRXdqcZPkhrqo8ztc/038LOB4+HnBOUcMus8RicPGpisfWT/dzzDGT9vilRV3ajCo/Z09dYwUnZyZ7ZX0x+hhQB4z8ZP+aVf9lm8Df+5SgD2agAoAKACgAoAKACgAoA+Pf2w/2ePDnxj+Hmr+IRHFp/jjwTomqavoesJGA95a6fay39zod+wAMtreLAwt3cn7Jcssi4R5K+A494Iw3FuXOVJQo5xhISlgcRt7SybeFrS60qj0i2n7Ob5k0nI/EfGrwgy/xOyOVXDQpYXirLKNSeUY+yj9YsuZ5bi56OWHrtWpylzewqtTVouaPxH+EPxV8afs+/EW08S6Qs9tdWMy2fiDQbrzIrfWNKdle4sLyIkZ8yMiayuB80MhiuIXKMd/8AL2RZ3m3BWe/WKcJ0a+GqvD4/BVeaMa1NStVoVY3Wv2qc9XCXLKMuVtn+dXBnF/EvhLxl9eoU62FxmX4meAzrKMRzU4YuhTqcuJwWJpu2qacqFXlbpzUatOXK25/0c/C/4l+F/i54L0fxx4Suxc6XqsP7yFiPtWnX0YUXmmX0Y5iu7OUmORSPmG2VCySLt/snIs7wPEOWYbNMvqc9DER1i2uejVX8ShVX2alOWjTtdWktGnL/AFb4N4vyfjnh7AcR5HXVbB42n71Nte2wmJil7fB4iK1hXoTfLJO11acbxkmeg1659QFABQAUAFABQAUAeM+Cf+SvfG//ALpr/wCoxd0AezUAFABQAUAFABQAUAFAHjPjb/kr3wQ/7qV/6jFpQB7NQAUAFABQAUAFABQAUAcZ8R/+SeePP+xM8Uf+mO+oAPhx/wAk88B/9iZ4X/8ATHY0AdnQAUAFABQAUAFABQAUAfk18R/+Sh+PP+xz8Uf+ny+oA//R/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1ABQAUAFABQAUAFABQB4z4J/5K98b/APumv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df+5SgD2agAoAKACgAoAKACgAoA4z4j/wDJPPHn/YmeKP8A0x31AB8OP+SeeA/+xM8L/wDpjsaAOzoAKACgAoAKACgAoAKAPGfBP/JXvjf/AN01/wDUYu6APZqACgAoAKACgAoAKACgDxnxt/yV74If91K/9Ri0oA9moA/Nr/gov8Y9f8EeD/DHw+8NX1xpd145kv7vWdQs7iS3vF0TSmto/sMMsTJJGl/dXIFwwYbobdohjeTX4t4ycSYvK8uwOT4KrOhUzV1amJrUpyhU+q4dwTpRlG0kq1Soudp6xg46czP5K+lbx9mfDuQ5PwvlGJq4OtxJLFV8fisPVnSrrLsE6UPq0JwlGUY4qtWSqtPWFJw05mz8yPhj+y98aPjDoDeKvA/hmHUdDOoXOnf2hd6xpmnrJeWgia5RI7u5jncRmdFMgi2F94DkqQv4fkfAvEvEeEePyvAxr4X21Sj7apiKFFOpTUXNJVKkZO3Mve5bNtpXaal/H3B/g34g8eZW864cyeGLy14qthPrVfH4PCqdegoOtGMa9WnUko+0inNLl5rpOTTjH9xv2TfhJ4o+C3we0vwb4wv4LvXDqep6vcW1pcG7s9JTUHiKaZbXBCrKIfKaaV4v3LTzymPCjLf1JwBw9j+GeHKGW5jWjUxXt62IlCnJzp4dVnG1CE38XLyuUmko80mldWlL/RnwR4Gznw+4DweQZ9iadfMXjMXjqtGhVdahgY4qUOXB0qrsp8nI6k3D937SpLkutT6Wr7U/XQoAKACgDxn9oP8A5JD4u/7gH/qT6LQB7NQAUAFAH8+n7dHxo/4Wp8YLzRdKu/P8KfD3z/D2l+VJut7zVFkH9uaku07H8y7QWcLld3kWakEByK/kTxT4m/t7iKphcPU5svyjmwlDld4VK6f+1V1ZtO9Rezi+kKa1d2f5d/SP8QP9dOPMRl+Cr+0yThf2mVYPklelXxkZ/wDCji1bSXNXj9Xpyd37OgrNqTZ9o/8ABOH4LroPhPVvjBrVkF1XxYz6V4YaeP8AeW3h6zlxeXkO9SU/tS+QxrIjDfbWY6pLiv0rwZ4aWEy/EcR4mn+/zBvD4Hmj71PB0pfvKsb3/j1fdUouN4U+qkz+gfoneHyy3JMdx5mFC2NztywWT+0h71HK6E2sRiKfMrx+uYhcilHSVGgviUrx9+/bS+CV78aPhFcRaH5knifwZcy+KNDs0PyamYbSWHUNNKd57iyZzZnn/SYo4wp8019d4l8MVeJeHakcLzPHZbOWOwtNbV+WDjWoWuvfnTu6b19+Kjb3mfp/0gvDzEeIHAtWGXc8s44frTznLsPHVYx06E6eKwnLdXq1sO5ewbv+9jGNvePyd/Y4+Plx8DfifFYa5PNB4J8XTwaL4otpd6ppl35vlWOtGFx+6l0+dzFenarmzeVXx5ShfwDw44snwtnqo4qco5ZmEo4bHQle1CpzctLE8ulpUZNxqbP2cpXtY/iPwE8TavhxxjDDZjUnT4dzypTy/OaU+ZRwlbn5MNmHs2vdnhar9nX0UvYTqKVuVH9DUUsU8Uc0MiSwzRpLFLGweOWKRQ8ckbrlXR1IZWU4ZSCMg1/YMZRlFSi1KMkpRkndSi1dNNXTTWqaf33P9ToThUhCpTlGdOpGM4Tg1KE4TXNGUZK6lGUWnFp2ad1fQkplHjPwb/5qr/2Wbxz/AO4ugD2agAoAwPFXifRvBfhvW/FniK7Wx0Tw/p1zqmp3TDPlWtrGZH2LkeZLIQIoYwQZJnSMEFga5MfjsNluCxOPxlRUsLhKM69eo9eWFNXdlpeT+GK6yaSvex5mdZxl/D+U5hnea11hsuyvCVsZi6z15KNGPNLlWrlOTtCnBaznKMVa9z4b+H3/AAUO+F3jnx7p/g258Oa94XsdYvF07SvEur3dg9nJezP5VpHfWsB32Ed5IyRxTGadY3dFm2bsr+W5R4w5FmmbUstng8VgaWIqexw+OxE6TpyqSdqaq04yvRVR2SlzSSekmrrl/nLhf6VHBvEnE2FyCrlOZZNhsfXWFwWb46vhpUJ4icuShHE0ad5YaNeTjCE3VmoyklPlvc/QOv10/qAKACgD8i/+CoumKJvhHrIQbmj8U6Y0nfar6TdIh46AvIw57njnNfz146UFzcPYm2tsdQb8k8PUS+V39/mfwx9MnBrn4Gx/KruGc4Ny62i8DWjF6bJyk1r1dluy7/wTcvTczahbFs/2f4a1+ADOdqzeJtDu8Y7Za4ZuOuegxlvp/Bat7ThSvSv/AAM1xK32VSlQnt01b9fkz9E+iTivbeGuNw12/qfEuPja+yr4XA1tF0u5N7avXU/Wev14/qMKACgAoAKACgAoAKAPGf2g/wDkkPi7/uAf+pPotAHRaB8W/hl4q8Sah4Q8OeOfDWteJtL877doun6nb3F9D9nbbcbY0cifyCD532cy+UFJfChmrx8JxBkmPxtbLsFmmCxOOoc3tcNRrwnVjyaTsk7T5defk5uW3vbXPlss444QzrNsVkOU8R5RmGcYLn+s5fhcbRq4mn7J2q2hF/vPZtfvPZOfIk3LROUfRK9g+pCgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQAUAFABQAUAFAHzz+0R+zt4S/aB8JvpWrRx6d4n06KWTwx4oihDXWm3TAkW1yV+e50q5cAXVqxOzPnwbZh83x/GPB2X8XZe8PiEqGNoxk8DjlG86FR68k7K86E3/ABIa2+OCUl735Z4q+FWR+KGSSwWOjDCZxhITnk+cwpp18HWav7Gra0q2CrSsq1Ft2/iU+Wcby/BmeH4sfsq/FgDddeGvF/hu53RyIWfTtb0uR+oOBDqWjapCuGVtylTghJowU/lGUeIOAuIN54LMMFO6krujiqDdtLpRrYavFNNPm0/lkrn+aVSnxt4Lcb2vWyjPcorc0ZRvLCZhhJS0a3p4vAYymmmnzKzt7tSKcP2e/ZP+Mmk/G/WPif41soV06/v7X4dLq2jNIHlsb+x0PUtOvPKz88llJdW0j2s2OYXjWTDg1/WXB/FmB4tyuGMw7jTxVJRhjsG5Xnh69tbdZUanxUp66e625Js/008LPE3J/E7h2lmuBcMPmWHUKGc5U5p1cDjOX3nFP3p4Ws7zw9Vr3o+5K04SPs6vrD9MCgAoA/Er/goH+0T/AMJl4lHwd8KX2/wz4TuxL4oubaTMOseJYs4st6MVltNFB2FQGRtQMrbj5Cbf5j8XeMf7Rxq4cwFW+CwFTmx84SvHE41bU7p2dPDJtWtJOq5O/uI/zw+lB4q/2/m64DyTEuWT5JW585q0al6ePzaF0sPeNozoZem4te9GWJlJpv2cWe4/8E+v2b18P6TH8bvF9j/xOtctpIfBNlcx/PpujS/LNrZjZPkutUAMdmxJaOxDSLsNwC31HhFwX9Tw64nzGl/tWKg45ZSqR1oYZ6SxLTtapX1VN9KWqu5XP0b6L3hMsrwMfETPcMv7QzGlKHDuHrQ97CYCfu1MxcZL3a+MV4UHvDD3muV1bH6iV+6H9khQAUAeM/GT/mlX/ZZvA3/uUoA9moAKACgAoAKACgAoAKAOM+I//JPPHn/YmeKP/THfUAflv+2H+zra6v8AB/wN8b/CenCPW9F8F+EYfG9vaRgDUtGOiWEMOtyRoADdaY5jju5s5ksnDyBmg3t+FeL/AAdTxOFfE+X0bYrDKMMzhTX8fDaRjiWkn+8ou0aklbmptN3cXI/jT6UnhTRx+WvxFyTCcuY5f7OnxFSoQ/3vAO0KeYyjG16+Dk4wr1N54eSlJSdK54l+wX8fH+GfxEXwDr12V8G/EG6t7JDK/wC50nxM2IdMvlyQI4r4kafeHp89vKQfKzXwvhPxY8kzlZTi6jWW5vOFJcz93D452jQqrX3Y1dKNR/3oSt7rZ+OfRo8TZcIcVLhnM67jkHFFalh4ucv3eBzhtU8JiVdpRhibrC1+nvUp6OF4/vRX9Xn+lwUAFABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z42/5K98EP8AupX/AKjFpQB7NQAUAFABQAUAFABQAUAcZ8R/+SeePP8AsTPFH/pjvqAD4cf8k88B/wDYmeF//THY0AdnQAUAFABQAUAFABQAUAfk18R/+Sh+PP8Asc/FH/p8vqAP/9L+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAeGftJftJfBb9kb4LeOP2gv2gvHGm/Dz4U/DzTV1LxJ4k1JZ5/L8+eKzsNP0+ws4p77VNX1S+ngsdM0yxt57q7upkRIwgd1APmD/gn9/wVS/Yo/wCCm3hzxdr/AOyV8U38XXfgK8gtfGHhDxHoepeD/HGgwXhZdO1e68M6ykV5LoeovHJFaatZm6szOhtp5YLlkhcA/RKgAoAKACgAoA8Z8E/8le+N/wD3TX/1GLugD2agAoAKACgAoAKACgAoA8Z+Mn/NKv8Ass3gb/3KUAezUAFABQAUAFABQAUAFAHGfEf/AJJ548/7EzxR/wCmO+oAPhx/yTzwH/2Jnhf/ANMdjQB2dABQAUAFABQAUAFABQB4z4J/5K98b/8Aumv/AKjF3QB7NQAUAFABQAUAFABQAUAeM+Nv+SvfBD/upX/qMWlAHs1AH4ef8FMNVluvjJ4T0pj+50nwJbSxr6PqOr6lJKfqwt4h9FFfy94215VOI8voP4cPlUHFedbEVnJ/PkX3bvRR/wA6Ppe42dbj3I8E37mC4apSir/axWOxc5u3S6pxXny+R+hX7DOkRaT+zP8AD8xDDaodc1eY4wWlu9bvlJPXOI4I1B7hR04Ffr/hbh44fgnKOVa1/rWIl5yqYmqr/wDgMEvl5H9S/RxwEMD4Q8LuC1xv9o4+ppa86+Y4mN/P3acVfqkfXNfoR+5BQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKAPHfj/8Qovhd8HvHnjMyLHd6doV1BpIZtjS6zqK/YNLSM85cXdxHLj+7GxOMZr5zi3N45Fw5m2ZXSqUcJUjQ1s3iKy9lQSdnqqk1Lb7PQ+C8T+KYcG8B8S8QOajXwmW1qeCTfK54/Fr6rg4x295V60J+kG9dUfzbeA/C2pfEXx94Y8J2xluNR8WeIrDTWk+9KTqF4ou7pj3MUTT3Dnj7jEkda/i7KcBWznN8Dl9O8q2YY2lRb3f72ovaTb0+GLlNvyvrsf5K8NZNi+K+JsnySjz1cVnebYbCSnvNvFV4+3rN63cKcqlWTv9lt3sf1IeGvD2meE/D2i+GdFt0tdJ0HTLLStPt41CrHa2UCQRcKAN7BN8jdWkZmJJJLf3VgsHQy/CYbA4aCp4fCUKeHpQSSShShyx0Wl2ld922+rP9lsoyvB5JleX5Pl9KNHBZbhKGCwtKKSUaOHpxpx0VlzNR5pO3vSbel2bddR6J+FP7fH7PX/CuPGw+Jfhmx8rwb45u5H1CG3jxBovihw013EVQbYbbVQHvLbhUFwLqIMTtVv5X8WeD/7GzP8AtvA0uXLc0qSdaMFaOGxz96pGyVowr61Iapc/PHde9/m39Jrwt/1T4iXF2T4bkyDiSvOWKp0o2p5fnLXPXhyxSjTo45XxFHRL2vt4K9o832B+wB+0GfH/AINf4WeJ78y+LfBNqh0aa5k3T6x4WU+XCA7kPNc6O5W2l++/2RrZzhUY1+i+EfF/9r5a8hx1XmzDK4L6vKb97EYDaO9nKeGf7uXxP2bpyfLZo/ePow+KP+s+QS4LzjE8+ecO0YvAVKs71MwyZPlppOXvTrZfK1GespOhKjJ2UXzfotX7Gf1YeM/Bv/mqv/ZZvHP/ALi6APZqACgD8yv+ClnxIudD8C+Efhxp14YJfGOo3Oq63DGdrzaLonlfZ4WYEN5M+p3EbunKyfZAGHAr8R8a86qYXKsvyajUcJZlWnXxMU7OWGwtuWD1TUZ15xbWql7OzW5/IH0uuLa2XcN5HwnhK7pzz/F1cbmMIu0qmX5d7P2VOTTTVOpjKsJSWsZ+ws1ofjToXm/23o32c4n/ALV0/wAk+kv2uHyz2/j29/yr+bcJzfWsNyfF9Yo8v+L2kbdutuv3H8B5bz/2jgPZaVPruF9m+0/b0+Tt9q3X7j+sKy8z7Haed/rfs0Hm4/56eUm/1/iz3/Ov79p83s6fN8XJHm/xcqv+Nz/bXD831ehz/H7Glz2/m5I8343LNWbBQB+XH/BUKND4J+Fcu0eYvinXIw/cI+kwMy/QmNT3+72x834V45pf2ZkMrarH4pJ+Tw8G182l9x/Gn0x4R/1e4Lnb3lnOZQUu0ZYGk2vm4p/I8/8A+CZDMdf8bAkkLot7tHYZ1DwwTj6nnp+ea38Dm/7DzhX0WaQaXZvC07/fZdfuO36HcpPg/iqLb5Y8R0Wl0TlltC7Xryrr06H7D1+3H9fBQAUAfDP7f2pfE3SfgxBf/D691PTtOg12E+NrzRp5rbUYNDa3lW2bz7ZluYrH+0GhF68TKqqYjKwTJX8t8Wq2eYfhqNbKKtejRhio/wBp1MNKUK0cK4SUHzQanGj7Xl9q4tL4OZqN2fzj9J3F8YYHw+p4nhfEYzCYSnmVP/WLEZfUqUcXTy10qipP2tFqtDDfWnT+syhKCS9m5yUUj5m/YT/aw1AatF8Hvibrt1qEOqzf8UT4h1i7kuZ7a/cfP4fvLy5kaV4LwjzNNeV2EVyZICwWaOvifCvj+r7ePDmeYupVjXl/wmYzE1JTlGq/+YOpUm5S5alm6Dk2lP3LrmTPyD6NvjbivrsOAuMMyrYqGNn/AMY7mmPrzrVaWJlvleIxFZym6de3NhJVJvkrc1LmSqxZ+v8AX9EH92hQAUAfLX7Z/iiDwn+zn4/vXlWK8vU0TS9KUnBl1G617TXRU77oreC5ueMkLAx9SvyXHOdLIeF81x8Zctd0HhcL54nFfuqdvOKlKpp0g3pbmj+Y+MXFq4L8OuJM5hUVPGSwUsuy3u8fmP8AstBxtrekqk691eypN9Lx/Jb9gzwdqvi39orw7q1vPdQ2ng+11PxNrF1GzfvY/s0ljb2lw+fmW/vL2NXDE70SQ4JGa/nDwoy7EZhxjg8RCVSNPLqdfG4mor6rkdKNOb/6fVKqTvulLR3vH+B/o05Djc88VsqxtKpWp0Mio4zN8fWg5e/D2M8NSoVZXTaxOIxEVJST5oxk9LH9B1f14f6jBQAUAFABQAUAFABQB4z+z5/ySHwj/wBx/wD9SfWqAPZqACgAoAKACgAoAKAPmP8Aae/Zw0H9oLwa9oRBp3jbRYpp/CmvmNQ0U5G5tLv3A3y6XfMAsiEn7PKVuYtrq2/4jjjgzCcX5a6bUKOZ4aMpYDF2s4yeroVXvKhVatJNPklacbNPm/H/ABh8Jss8UMglQap4TiHL4VKmSZo46wqW5ng8S1708HiWuWcW17KfLVhZp834a+AvHHxJ/Za+LM9wltcaXr3h6+bSvFPhu8LraavYK6tPYXaA7ZIZ4itxYXiDdGXiuoCFYq38tZVmmd8B8QOfJUw+KwlV0Mdgql1TxNHm9+nNXSlGS96lUV3F2nHqj/OPhriLi7wY43nWVGtgsyyzEPB5xlOIco0MfhVP95hqyWk6dSP73DYiKbhLkq0205Rl/Q58Jfip4W+MfgjSfG/hO6EtlqEQS8s3ZDeaRqUaj7Zpl8iklJ7aQ4DcLNEUmT5XxX9hcP59gOI8sw+aZfU5qVaNqlNte0w9ZL95QqrpOEtL7SVpLRo/1O4H40yXj7h3A8RZJWU8PioJV8PKUfb4HFxS9vg8TFX5atKeifw1IctSNlKx6VXtH1x8r/tefHKP4I/CfUr3T7lY/GPigTaB4TjDDzYbqeI/bNXC9THpVqxmU5X/AEp7VQTkhfg/EPilcL5BWq0ZpZljr4TL4/ajOcf3uIt2oU7yT199wS3bj+L+OniPHw64JxeIwtWMc+zjnyzJIXXPTrVYP2+O5d+XBUW6if8Az+lRXU/HP9k/4GXnx/8AitDFrAnm8KaDKniHxpfSl3a9ja43xaYZ2zuu9Yutyys29/s63UrYID1/OPh/wtU4tz+KxPPLAYSSxmZVZXbqpzbjQctG54md1J6vkU5NK1z+CvBLw4r+J/GsIY/2lTJMsnHNOIMTNtyxEZVXKng/aPetj66am25NUVWm9Umf0WWlrbWNrbWVnBHbWlpBDbWttCoSGC3gjEUMMSLgJHFGqoigYCrjjFf2PTpwpU4UqcYwp04xhThFWjCEFyxjFKySikkklsulj/VihRpYajSw9CnCjQoU4UaNKnFRp0qVKKhTpwirKMYQSjFJWSVlaxYqzUKACgDxn4yf80q/7LN4G/8AcpQB7NQAUAFABQAUAFABQAUAcZ8R/wDknnjz/sTPFH/pjvqAKPgvTbLWPhX4R0nUraK807UvAPh+xvrWZQ8VxaXXh60hnhkU8FZInZT9cjkCsq1GliKNWhWhGpRrU50qtOSvGdOpFxnFp2unFtb/AHWOfF4TD4/C4nBYulCvhcXQq4bEUaiUoVaNaDp1Kck7pqUJNO669bH84Hxu+HmofBr4u+LPBwaaAaDrbXehXa7o3k0qeQX2i3kLdcrbPCN46TROOq1/D/E+T1uGuIsfl15R+qYr2mEqLRyw82quFqR3d1BxV/5ova1j/HvxE4VxXAHHOd5DepS/s3MXXy2urxlPBVZLE5fXpysndUpQXNb+JCW9j+gj9mn4or8X/gz4N8YTSrJqzWA0nxCqnJTXdIxZ3zNnDZudkd6MjlbkEYBFf13wVnq4i4by3MZNPEOl9XxaXTFYf93Vv5ztGr6T0P8AULwj4yXHfAGQZ9OcZY54b6jmii7uOZYH9xiXK6TvW5YYjVbVla6PeK+qP0oKACgAoAKACgDxnwT/AMle+N//AHTX/wBRi7oA9moAKACgAoAKACgAoAKAPGfG3/JXvgh/3Ur/ANRi0oA9moAKACgAoAKACgAoAKAOM+I//JPPHn/YmeKP/THfUAHw4/5J54D/AOxM8L/+mOxoA7OgAoAKACgAoAKACgAoA/Jr4j/8lD8ef9jn4o/9Pl9QB//T/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8VP/B6/8YPG/hP9jz9lL4PaFrR0/wAG/F343eKdY8daXEEEuv8A/CtPDGn33hm3mkP737Bp+qeJJdQmhQeXJfRabLLhraGgD+BL9in9t39on/gn58ePDf7RX7M3jRvCHxA8PRXVjPBeQPqXhjxRol/GYr7w74u0Ez28Gu6Hd/JK9nNLG0dxFDc280U0SuoB/rj/APBEb/gpi3/BU39hrwb8f/FFn4O8PfGPRtZ1rwL8YvBvhDVYrq20fxNoV5LDY63/AGNJfXuq+HNP8YaSLfW9L07VXZ9j3JtJprREZQD9fKACgAoAKAPGfBP/ACV743/901/9Ri7oA9moAKACgAoAKACgAoAKAPGfjJ/zSr/ss3gb/wBylAHs1ABQAUAFABQAUAFABQBxnxH/AOSeePP+xM8Uf+mO+oAPhx/yTzwH/wBiZ4X/APTHY0AdnQAUAFABQAUAFABQAUAeM+Cf+SvfG/8A7pr/AOoxd0AezUAFABQAUAFABQAUAFAHjPjb/kr3wQ/7qV/6jFpQB7NQB+DH/BR2Qv8AtCxITxF4F8OKo9A9xqrn8yx6j86/lHxmk3xfFfy5Vg0vnOu/17/cf5o/SxnzeKUI/wAnDeVL76uNl+bZ+q37IMaxfs1/CIKMbvDHmH/el1K+cnv1Lf8A6ulfvXh3Hl4K4eS64Hm/8CrVX5d/+H3P7U8CYKHhHwKl1yfnfrPF4mT/ADPpGvtD9aCgAoAKACgDxn9oP/kkPi7/ALgH/qT6LQB7NQAUAfld/wAFN/H8tl4d8A/DW1mZP7bvrzxRq8atxJaaSBZaZHIo/ha8ubqYZPLW6kZ21+DeOGbypYPKckpyt9aq1MfiEnvTw/7qhFrezqVJy83Bdj+Lvpg8Tzw+VcM8I0ZuP9o4mvnOOin8VDBL6vhIyXZ161apr1pK2zPn3/gnF8PB4m+MOp+NbuESWHgHQ5JrdnTcn9ta55lhZFW6CWC0XUJhzkEKeM18j4M5P9d4jr5nUjellOFlKDauvrOKvRp2f80aarSWnZ6WPy/6J3CqzfjzGcQ16fNhuGMtnUouUbx/tHMW8Nh7OztOnQWKqLVWajvc/dOv6nP9IQoA4D4ofDrQPit4F8Q+BPEcIl07XbKSBZtqtNYXqDfY6jbEglLiyuQk0bKVYhWj3BXavJzzJsJn+VYzKsbFSo4qk4qVk5Uqq1pVoPpOnNKSas7XWzal8xxlwplnG3DeacNZtTUsLmWHnTjUsnPC4hLmw2Lot6xq4eqo1ItNNpOF0pM/nQU+Pf2Xfjbn95ZeKPAWu8j50tNZ00tz6ifTNa05/wDaTZL/AM9Iq/jb/hW4E4n608dlWK81TxNC/lZSoYmi+nOrS+04n+UqfE3g14h/aw+c8M5lZ/FGhj8I381UwmYYWXecUp7ucPd/ox+GPxE0H4q+BvD3jvw3MJdN12xjuDEWUzWN4oCXunXIHKXNlcrJBIrYJ2rIPldS39k5HnGEz7K8HmuCkpUcXSU+W6cqVRaVaM7bTpzUotO3RrRpy/1b4O4qyzjXhvK+JMpqKeEzLDQquF054bEL3cThKyWsKuHqqVOUXq7KW0kct8G/+aq/9lm8c/8AuLr1j6Y9moAKAPwF/wCChXiw+Iv2hdQ0mOYy2vg/w9ouhom7KxXU0L6tegDJCt5moIj4wSYxnkYr+SvGDMPrnF9XDqV6eXYPDYVK+kZyi8RVt2d6yT228ry/zF+lLnf9q+KWKwUKnPRyLK8vy6MU7qFapCWNxKtspc2JjGXX3ddkfO3wF8Nf8Jf8avhj4cx5keoeNdCE3UhrW0vY725JztO37PbSk5C/LnOMV8dwngv7R4myPB/FGrmeF5uzhTqqpJ9bLlg+m3c/K/DPKFnviFwflLXPDFcQ5aqnZ0aGIjiKrad9PZUZNp9NHbc/qDr+5j/Y4KACgD8u/wDgqCwHgb4WJ/E3izW2H0TR4gf1da/C/HNr+yshXV5himvRYaN/zR/G30x2v9XODI9XneYteiwFNP8A9KR53/wTIBHiDxsT0OiXmPw1Dwzkn3P8gPStfA5NZJnL6PM6dvlhYX/TS2m+tzq+h3FrhDiuT2lxFQS+WW0b/mun3n7EV+3n9fhQAUAUdT02w1nTr3SdVtIL/TdStZ7K+srmMSwXVrcRmKaGVGyGSSNip7jORggGsq9CliaNXD16catGtTnSq05q8Z05xcZRkne6adtvvObGYTDY/C4jA42hTxOExdGph8Th6sVOnWo1YuFSnOLunGUW1+Ks1c/nd/ar/Z71b9nv4iedpIuz4J1y7fVPBmsxlw9k8cgnfSJrlNpj1HSZNpgfKSS2whuE3EOy/wAece8IYjg/OFPDe0/szFVHXy3Epu9JxlzPDSmtq1B2cXvKFprqf5W+NXhdjvC3ir2mBVf/AFezGvLGcP4+PNzYeUJ+0lgalaNuXFYKVnTfuTqUVTqq7U2fqr+xh+0xB8a/By+GfEt3GnxH8JWkMGpLIyq/iHS4wsNtrtuCcvPgLDqcajclwBOAyTF1/evDXjaHE+WrBY2olnOX04xrpuzxdCNowxUF1k7ctdLVT96zU7x/tT6P/i9T8Q8hWUZvXhHizI6FOnjFKSUs0wcbU6WZUk7c1TRQxkI3catqmsat4/bdfpx/Q4UAfkX/AMFOvH+ZPh78MrWbhFvfF+sRpJ/ExbTNIjmQEdFGozJkH7ytxkV/PXjjm+uUZJTnsqmYYiKfe9HDqSt5VpK/qn0P4Z+mFxPeXC3CFCp8KxGe4+EZdXfB4GNSPosVUjfunpa8vT/+Ca/w8TQ/hj4j+IN1bhb/AMaa41hYzOuJP7E0AGEBMj/Vz6nNdsSDhjAnHANe54K5OsLkeMzicLVszxTpUpNNS+q4T3dHpeM68qj2fwLU+w+iPwtHLuD824orUrYniDMXhsPOStJZfli9mlHRXhUxdSu7639nHtc/SWv2k/rYKACgAoAKACgAoAKAPGf2fP8AkkPhH/uP/wDqT61QB7NQAUAFABQAUAFABQAUAfmH+0z+zU/xx8V/GfXPDKBfH3gyLwJd6TANqJr1lceFWa+0iU97uRbKB9OlbBEyeR9ybDfl3iRwJDifBPMMvpxhneCpt07JR+vUY3bw1R9aiV3Qk1pL3Obllyn85+P3gzR8QsolnmSUKdPi/KaEpUXFKDzjB005Sy+s9OevFJvBVJNOM70buFRcnwD+zL+0F4h/Zx+IMg1CK9k8J6ndrpvjbw3KJElhMEpgbUbe2k2+Tq+ltuyNgeeJJLWXd8m38E4I4vxnBmbyVaNWWX1qnsMzwUrqUeWXK60IO3LiKDvtrON6bTvFH8VeEHijmvhNxRNYqGIlkeLrrCcRZTNSjOHs5+zeLpUpfw8dgnf+9OCnRkpJpR/of0HxHonibQdN8T6HqNtqGhatYRalY6lDKptprOWPzBKXztTYMiVXwYnSRJArKwX+wsJjcLjsJRx2FrQrYTEUo16VeMlySpyXNzX15bLSSesWmpWaaP8AVDLM2y7OMswmcZbi6OKy3HYaGLw2LpzTpVMPOPOp817R5VdTUmnCUWpWcWfz0/td/GS5+N/xm1JtJllu/DXhydvCvhC1i3OtzHDcGK6v4Ylzum1e/DSIVLF4FtVXgBV/kDxD4knxRxLWeHlKpgsHJ4DLoR1VRRnyzqxit5YirdrWTceRJ6H+Wnjpx9W8ReP8XLAznXyjKajyXIqMLyVaNOryVsTCC3qY7FXlG13KnGlFbWj+y/7J3wTg+CPwk0fSLm3RfFXiBIvEHi242jzTqV3Cph08tgExaTalLRAR/rRcOclzX9JcAcMQ4Y4ew2HnFLH4tRxmYTt73t6kFy0W7JuOHhamk1pLnevMf374I+HlLw74HwGBq0oxzrNI080zyrZc7xlenFwwrf8AJgaTVCK/nVWX2j6ar7c/XwoAKACgDxn4yf8ANKv+yzeBv/cpQB7NQAUAFABQAUAFABQAUAcZ8R/+SeePP+xM8Uf+mO+oAPhx/wAk88B/9iZ4X/8ATHY0Aflv/wAFNvhv5V54F+KtlBhbqKfwhrsiIf8AXW+/UNGnmbp80T31spOP9VGvYBv538b8ltUyrPqUNJxll2Kkl9qPNWw0pvS14urBfFflt7tlzfwp9MDhLkxHDfGuHpaVoVMizKcY/wDLynz4rL6lR7aweJpJv+SMbK15ZX/BM/4n/YfEPjD4T39xiDXLVfFOgROxwNR05UttWgiBOFM9i1vclV5b7G7Y4JrDwSzz2WLzHh+tO0cVBY/CJv8A5fUVyYiEe3NScJvv7P1OP6IXGP1bNM+4JxNW1LMaKznLISb/AN7wqjSx1OCeidTDOlVaVm/YN9G5fshX9Hn97hQAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM+Nv+SvfBD/ALqV/wCoxaUAezUAFABQAUAFABQAUAFAHGfEf/knnjz/ALEzxR/6Y76gA+HH/JPPAf8A2Jnhf/0x2NAHZ0AFABQAUAFABQAUAFAH5NfEf/kofjz/ALHPxR/6fL6gD//U/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHwx/wVf/AOCsH7Pf/BKL9n68+KnxWvYfEnxJ8Rw3unfBv4M6ZfQxeJ/iJ4ljiIR2jLGXS/CelSsk3iDxBNH5NvD/AKLa+dfSoigH+Rr+3x/wUL/ad/4KP/HDW/jf+0p491PxFeT3t/8A8Ib4JgvLpPAvwy0C7mV4fDPgjQXla00uyiiht0vLxYhf6vPALvUZppNgiAP1y/4JCf8ABAl/+CrH7C/7XPx98G/FS+8N/Hj4V+LrfwL8EvAV1Z2kXgrxJr2neH9H8Y6lH4s1mQvfWsniGyvj4c0aS3jSz0q8l/tHUDPEVW3APhr9gX9vT9sP/gh/+2frmq2Xh7XvDeteGtcfwF+0V+z143jvdK07xloumX4/tDRNZsJNos9ascPe+FvE1srvayyRXdpLcadeOk4B/rW/sAf8FAf2df8AgpF+z14a/aG/Z08Uw6ro2pRQWXi7whezQJ4w+G3i0QLJqHhHxhpkbmSzv7Vy5s71V+wazZBL/T5HiZ0gAPt2gAoAKAPGfBP/ACV743/901/9Ri7oA9moAKACgAoAKACgAoAKAPGfjJ/zSr/ss3gb/wBylAHs1ABQAUAFABQAUAFABQBxnxH/AOSeePP+xM8Uf+mO+oAPhx/yTzwH/wBiZ4X/APTHY0AdnQAUAFABQAUAFABQAUAeM+Cf+SvfG/8A7pr/AOoxd0AezUAFABQAUAFABQAUAFAHjPjb/kr3wQ/7qV/6jFpQB7NQB+Bv/BRZ937Rlwv9zwV4XH5i/b/2bt/Wv5N8ZHfjKa7ZZgf/AHK/17ffqf5lfSslfxXqr+Xh7Jl96xL/AF/4C3l+tP7JS7f2bvg+P+pRtm/76urpvb1//X1r+gfD5W4L4d/7F1N/fOoz+4PA9W8JeBF/1IqL++tWf6n0TX2J+qhQAUAFABQB4z+0H/ySHxd/3AP/AFJ9FoA9moAKAP58P2+PGX/CV/tFeIrGKZpLPwdp2leF4U3ZSO4t7f7dqIXsD9tvpUfvujwfumv5C8Wcy+v8Y4ylGTlTy2jQwMVfRThD2ta3S/tKrT03jZ3sf5c/Saz/APtvxVzXDQm5UMgwmCyamr3jGrSp/WcVbs/rGJnGW+sLPZKP6C/8E3vBv9hfBPVPFM0ZS58a+KryeNmXDNp2iRJplqQSMmNroag64JBLE9xt/XvBjLfqnDFfHSVp5nj6k1daujhYqhT+XP7Vrbe63bl/UP0TMg/s3w8xuczg41uIM6r1ItqzeFy6EcJRaf8AK631lrdPfraP6FV+vn9ShQAUAfnR+3/+z2fH/g+P4qeF7Ay+LfBNo66zBbR5n1nwspMkrbUUvNdaM5a5iyHc2b3Ea42JX454t8IPN8tWfYGjzZhlkH9ZjBXniMAruTstZTw7bmtJSdPnSsorl/lL6T3ha+Jshjxpk+G5884eoyWYU6Uf3mPyZPmm7LWpWwDvWh8UnQdWCWiZ8ffsE/tED4beND8NfFF95XgzxxeRJYT3EuIND8TuBDazAyEJDaar8lndYZFWf7NMwJDNX514T8Y/2LmX9iY6ry5bmlRKjKb9zC45rlhK7kuWnXsqc7cqU+STvY/CPoz+Kn+qXED4RznE8nD/ABHXhHC1Ks7U8uziVqdGd5e7ToY3ShXacYqoqVRrScj9cvg3/wA1V/7LN45/9xdf1Qf6SHs1ADJJEijeWRgkcaNI7scBURSzMT2AUEk+n0pNqKcpOySbbeyS1bfoiZSjCMpzajGEXKUntGMVdt+SSbZ/LZ8YPFcnjj4rfEDxa7CUa34t1u9hLN8rWi3s0dmuSR8os4YEVQc4AVcnFfwnxFj3mmf5vmEndYrMMTVjd6OmqklTV7/8+4xirfJbI/xn47zuXEfGvFGeSfP/AGhnmY4im5PR0FiKkMOr3WioQpxST20jfQ+n/wDgnn4OPiT9oGz1qSIyWngrw/q+uO/QR3lzGukWGevJe/lcA9fKPTGa+58H8u+u8XU8TKN6eWYTEYpvtUmvq9L8arf/AG75M/Y/os5A838UKGYTg5UOHsrx2Yyl0jiK0FgcNd/4sTOaXXkP33r+tD/TcKACgD8pv+Cok+NB+Elrn72r+J58Z67LPS4wcdeN55z3wMc1+CeOk/8AZOHqd98Tjp29KVBXt8/PztpzfxT9Mmr/AMJnA1G++OzmrbT7OHwUb9/tdretznf+CZ8WzVfFEn/PbQtVI+iat4ZT8eQelep4Iwtw5mM7fHm0168uGw/379D6P6INLl4Dz+r/AM/eJqq/8F5dgl+v9an691+zn9ZhQAUAFAHlvxj+E/hv40eA9Y8D+JYV8q+iMum6iqK11o+rRKTZalaMwbDwSECVPuzwNJC2Q2V8LiTIMFxLlOJyvGxXLVi5UK1k54bERT9lXpvWzi9JL7UG46XbPjOPeCMo8QOGcfw5m9NcmJg54TFKKdbAY6Cbw+MoN3tKnPScdqlOU6crcyZ/PHcQfEf9lr4zbcyaV4t8FaqJIpAHFjrOmu3yuM/LdaTrFnkMPmUq5HEsW5f49nHOeA+JbXdDMMsr3i1f2WJoN3T7VMPiab1XvLXZSjaP+WNWnxZ4Mcf8t54LPOHsapQmuZYbMMHJ6SW6rYHMMPuveVpNazp2j/Qd8DvjL4Z+OXgLTPGnh6VIppEW213R2kBu9D1iNB9psblMs2wtmW0nyUubZkkQkhwv9ecL8S4LinKaGZYOSjJpU8Vh271MLiUvfpTWjtf3qcrWnBppt8x/qL4c8f5R4j8M4TiDKpqFSSjRzLAOSdfLsfGKdbDVY3b5bvnoVPhrUnGabalGHrVxcQWlvPdXMqQW1tDLcXE0jbY4YIUMkssjHIVI41Z2YjhVJ5xX0M5xpwlUnJRhCMpzk9FGMVeUm+iSTbPuKtWnQpVK9acadKjTnVq1JO0YU6cXOc5PpGMU5N9Ej+Zz9oH4j3vxt+NXinxRbl57XUdWXRfDUGd2zRbCT7BpSJjOBcKpu2wPv3MhOTmv4n4qzWvxbxVi8TQUqv1rFwwWX01r+4hNUMNFb/HpUdtG5t6a8v8AkX4kcS4zxO8SczzDBxnX/tLM6WUZHQXvP6nSqrB5fTio/wDP6/tpP+atNvqf0SfCTwJbfDL4a+C/AlttYeG9BsbC4kUD9/f+X52o3BI+8Zr6W4k3HJIYZ9F/sLh/KoZJkuW5VCz+pYSlSnJW96rbmrT035qspu5/qdwPw1S4P4R4f4apNNZRlmHw1Wat+8xPL7TFVdN/aYmdWd7yupLXRnotewfVBQAUAFABQAUAFABQB4z+z5/ySHwj/wBx/wD9SfWqAPZqACgAoAKACgAoAKACgDxnwT/yV743/wDdNf8A1GLugD4G/b1/ZXW8gvvjh8PtNxewKJfH2i2UQH2q3Ubf+EltYUHzXEIAXVUUK0kQW7AZ45N34F4scBqrCrxPlFD97Bc2bYalH+JBf8xsIJfHHRV0k3KP7zXlkfxN9JjwXWIp4nxF4Xwn+0U17TifAYeGtamlb+16NOKV6tNWWNilecLV/ecZxl8R/DD9qXxv8OPhJ8Q/hTbXc02n+JNLeDwvdmR/tHhq81C8trfWltHydlte6TLfyImMQ3yIyBfPdl/MMi48zTJuHs4yGFSU6WMoOOAqNvnwVSrUhDEqm+ZWhVw8qskvs1YppvmaP524O8ZuIuE+B+KeCqVapUwubYKVPJq7nL2uUYjFV6NLMFQldqNHE4GeJlGNrU8TGLjb2r5fRf2CfgqvxL+LC+LNYtPP8LfDkW+sTCWPdb3viB3P9iWLbgyOIJEfUZYyPu20YOQ42+x4T8M/23xAswxNPmwGTcmJnzK8KuLbf1ak+j5WnWknbSCvulL6v6M3h6uL+NlnmPoe0ybhT2WOqKcb0sRmk2/7Pw7unGSpyjLFVIvpRgnpK0v32r+tD/TcKACgAoAKAPGfjJ/zSr/ss3gb/wBylAHs1ABQAUAFABQAUAFABQBxnxH/AOSeePP+xM8Uf+mO+oAPhx/yTzwH/wBiZ4X/APTHY0AeSftaeCLfx7+z98RtLkgM91pmiTeJdL2jLx6j4eB1GJ075aGK4gbGCY5nHPSvjfEDK45twjnOHceapRwssbQtq1Wwf7+LW2rjGcd9pO9j8n8cOHaXE3hfxZgp0/aVsJl083wdvihi8q/2uEo+cqdOrSdrXjUkutpfgV8BfGcnw/8AjH8OvFaytFDpvinS0virbQ2m31wthqCSdAYzaXMxcNxgZ5xiv5L4TzKWUcSZNj1JxjRx9BVbOydGrP2NZPa6dOpK6bt6H+ZHhnxBLhfj3hTO1Nwp4TOcHHEtS5U8JiKqw2KjL+66FWd07rS/S8f6glZWVWUhlYBlYHIZSMgg9wQQQf8AGv7mTTSa1T1T7r8fz+8/2OTUkpJpppNNbNPVNb6Nef3i0DCgAoAKACgDxnwT/wAle+N//dNf/UYu6APZqACgAoAKACgAoAKACgDxnxt/yV74If8AdSv/AFGLSgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgD8mviP8A8lD8ef8AY5+KP/T5fUAf/9X+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA/Gj9tb/gp18Gf+CVv/BPyy+P3xOaDX/FmoSeI/Dnwe+F0N/Haaz8SvHk/iDXJLXTLYYeeDRdLjI1PxLqqRtHp2mxkF0uLm33AH+XF8RPiJ+3r/wXU/butZ57TXfjH8evi5rP9leEvCOkCeHwd8NPBsVzujsNPibzLDwj4C8JWUn2jVdVuTEHCPd3ktzqFzFEwB+u3/Bdj/gjt8Jf+CR37AX7CfhPR7uHxr+0B8Uvin8Q9U+PvxWMbxpr+saR4I0B9N8LeGbeQltO8FeFZdU1KLSLchbnULi5utV1BnublUgAP6A/+DJ//kw79qT/ALOlX/1WHg+gD73/AOC9P/BA34a/8FR/h5e/F/4Q2ehfD39tfwLoko8K+LjFFp+j/FzSrCJ5bf4f/EWaGIbpWwYfDHiqVZLrQ7mRba7efSJpIoAD/O0/Ye/bi/bT/wCCHf7Z+tX2n6N4h8HeJvCPiBvBf7QX7PfjhL7TtE8caNp15t1DQtf01yEhv4o9154X8U2StNZSvb39hcz2U7pcAH+tN/wT0/4KGfs7f8FK/wBnfw5+0J+zz4ljvbC8jgsPG/gjUJ7dfGPwy8YC3WTUPCXi3To5GeC5gfe+m6ki/YNcsPLv7CRkMsUAB900AFAHjPgn/kr3xv8A+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/7lKAPZqACgAoAKACgAoAKACgDjPiP/AMk88ef9iZ4o/wDTHfUAHw4/5J54D/7Ezwv/AOmOxoA7OgAoAKACgAoAKACgAoA8Z8E/8le+N/8A3TX/ANRi7oA9moAKACgAoAKACgAoAKAPGfG3/JXvgh/3Ur/1GLSgD2agD8Cv+Cin/Jx15/2Jnhb/ANF3tfyZ4x/8llU/7F2B/wDSZn+ZH0q/+Ts4j/sQZL/6RXP1w/ZPGP2cPg9/2JtgfzknP9a/oTgH/kjeHv8AsXU//Spn9yeCP/JpuA/+xBhv/S6p9C19efqYUAFABQAUAeM/tB/8kh8Xf9wD/wBSfRaAPZqAI5pY4IpZ5WCxQxvLIx6LHGpd2PTgKpPXt2pSkoxcpOyinJvskrt/cRUnGnCdSb5YU4SnOT+zGCcpP5JNn8rHxI1+XxV8QfG3iSaVpn1vxVr2pCRmLForrUrmSEZJJIWExovOAqgDAFfwXnWLlj84zPGybk8Vj8VWTb5m1UrTcdXvaLSXlof4t8W5nPOuKOIs2qTdSWY51meLU2224VsZVnT1d3pTcUvJW0skf0kfs+eF08G/BL4YeHljET2fg7RZrhQME3mo2ialeM3q7XN3KWJyc/kv9pcIYFZbwxkeDUeV0suw0prr7StBVqjfm6lSTf8Awx/rV4XZNHIPDzg7Kox5JYfIcvqVVazdfFUY4uu5f3nWrzbvf9I+x19GfehQAUARyxRTxSQzRpLDNG8UsUih45YpFKSRyI2VdHUlWVhhlJByDSlFSTjJKUZJxlGSTUk1Zpp6NNaNPRrRkzhCpCdOpGM6c4yhOE0pRnCSalGUWmnGSbTTTTWjTu0fz1/tl/s/z/A/4lvqmhW8sPgXxhcT6r4buItyppd+H87UND8xf9W9lK6z2WHDNZyR7FHkvt/kHxJ4RlwvnbxGEhKOV5lOeIwUo3Sw9ZPmrYXm6OnJ89Kzv7OUbX5Wf5a+P3hhU8OeLpY3LaU4cN59Vq47KakOZLBYnm9pisu5lfllh5yVTDe/d0JRtbkkfo1/wT8+K0Pj74c+J9H1bUBc+NdJ8U3Gqaysrj7TfWOqafpkFrq5GSXM9zZXMV04wFuFBI/fLX7p4Y8W/wCsmSRw2KqKWa5VGFDE3a569C1sPibbtyjH2dR2/iRu9ZJy/sv6PPif/r/whDAZlXU+JOHIUsHmHNJe1xmEtyYLMbaOTqQj7HESSa9vBu/vo+/q/Sz+gTyb47eKx4I+DfxK8Ubgkml+D9aa2JOP9MurSSysgvqxu7mEKO5x718/xVj1lfDedY69nQy7EuD2/eVKbpUrba+0nG363sfEeJWdLh3gHi7OG+WWDyLMHSd7fv69CWGw6W2rr1qdrde+x/LySSSSSSTkk8kk8kk9yffP9V/hju979fPv/X6H+N973b1b6ve/f19b/rH9mf8AgmN4KNl4P+IHj6eDbJrutWXh2wmI+/Z6Lbfa7vaf7rXmoIjYOC0HOCor+k/A/LPZZbm2bTjaWLxVPB0pd6eGhz1LdLe0rJddY69FH+/foe8PPD5BxRxNVp2lmWY4fKsLNr4qGX0nWr2fZ18VFO19aflaP6jV+6H9lBQAUAfj5/wVFvs6x8JNN3fc0zxRfFf+ul1pUCt17+Uw6duvav518dKv+0cPUO1HHVf/AAKdCC/9JZ/B/wBMnE3x/A2Ev8ODznEtf462CpJ/+SNdflb3uo/4JyWn2dTPjH27wn4luM4+8IvGOl2mffBtivT+HHNfZeDNLk4PdTrWzTGS9eSNGH/tvf7rM/V/on4dUvCx1ra4riPNqj8/ZwwlFev8Nq9+ltLH6t1+sH9MhQAUAFABQB8f/td/s0WHx48GPqGjQQW3xH8M200/h2+wqf2rAAZJ/D99Jt3GG6ILWUrEi2u8HBjlk2/nXiHwTR4ry11sNCMM5wMJTwdXb28F708JVdvhqWvTk+bkqW6Skj8I8dPCLDeJfD7xWX0qdLizJ6VSplWIso/XKSTnUyvET3cKzV8PN/wa+vwTmfjn+z78bfFn7NPxNe5ura9XSXuzovjvwrcB4ZJbeCcxTuIHwItW0uQPJayFRuIeB90UuV/nLhDijMOCc7c6kKqw7qfVs1wE/dcoQnyyai7qOIoO8qcr66wd4yZ/BXhd4iZ34RcXyq1qWIjgZV/7P4kyWrzQlUpUqjhUkqb0hjcHLnnRlb3rOm7wmfqZ+2P+0boWk/s+WM/gXW4b28+MFp/Z+hXtnKPNi8PyxK+u3p2PvgmSBxpZUjMdzcyISHiJr938R+MsJh+EKU8qxUatTiKHscJVpy1jhJRTxVTR3hJRfsbPac2nyuNpf2b49+LGW4Lwuw1ThvMKeJr8eUPquW4ihU9+nlc4KWZYhpPmpzjTksG078larKLalB835jfs2/Ci68WReNfiPdwsND+HVppBglZD5dz4i1rW9NsLS3VsgFrWwnvL2QEHafs543V+YeD/AA480z6WcV4XwmTJThde7PHVU1RjfvSjzVXe+qj6x/nn6LPAcuIuNKnFOMo82V8JxVWlKUXyVc5xMZRwcE9nLDU/aYqSa0caW1z+jmv6qP8ASUKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/APqT61QB7NQBz2teLfCvhuBrnxB4k0LRLdFLNNqurWGnpgdcG6nizjB4BY8EYrkxOYYHBRc8ZjMLhoJXcsRiKVJW/wC35Rv8lf015vLzDPMlymm6uaZvluXU4ptzxuOw2FjZbu9arC9vK/y2PnbxT+2t+zd4UYxT/EO01qdX2PD4Zsb/AFwoQ207p7W3+yYHU7bg8Djdkbvjcf4mcF4B8s84p4madnDBUq2Ks/OUIqn/AOVPRvaX5VnX0hPCXJJOFXiqhmFRS5ZU8nw+JzFxadnepQpSotLduM/S+0foDwV418M/EPwzpfi/whqkOsaBrEJmsr2EOmdjmOWGaKQLLBcQSq0U8Eqq8bqQdww7fXZZmeCzjBUMxy6vHE4TEx5qVWN1ezcZRlGVpQnCScZRkk0110cv1Dh/iDKOKcowWe5FjaePyzH0/aYfEU+ZXtJwnTqQklOnVpTjKFSnOMZRlHZppnVV3nshQAUAFAHjPgn/AJK98b/+6a/+oxd0AewzQw3EMtvcRRzQTxSQzwyoskUsMqFJYpY2yrxyIzI6MNrKSDkE1MoxnGUJxUoTi4yjJJxlGStKMk7ppptNNWa0dyKlOnVpzpVYRqUqsJU6lOcVKFSnOLjOE4yvGUZRbjKLVmnZ3ufzDftAWngew+MfxBsfh1DJB4Ts/EV9a2EbTrPAJoZNmoCxKxRGPT1vxcJZQuZWjgVR5rLtVP4d4up5XS4kzelk0ZQy+njKsKScuaPNF2rey0TVFVedUou7UEtWtI/47+J9HhzDcfcUYbhSnOnkmHzXE0cNB1FUpqpTny4pYZqEHHCrEqrHDwlzyjTilzuNkfpN/wAE3vi94Nj0HVfg/c2lpovi19Ru/ENjfeYQ3i2CRI1miZpGONQ0qKNEjt0Ijksv3kSCRZ937T4L8RZasJX4dnTp4bMXWqYylUvrmEJJKUW2/wCNh4xSUErOn7ys1Lm/rb6JnHeQQyzG8B1qFDL89li6+aYbE81nndOcYKcJOb/3rBQiowpRajLDrmhHnU+b9WK/ez+1QoAKACgAoA8Z+Mn/ADSr/ss3gb/3KUAezUAFABQAUAFABQAUAFAHGfEf/knnjz/sTPFH/pjvqAD4cf8AJPPAf/YmeF//AEx2NAHQ6zp0WsaPqukzgNDqmm32nTKejRX1rLbSA9eCkpB4/OscTRjicNiMPLWNejVoyXeNWEoP8JM5MfhIY/AY3A1FenjMJicJNPrDEUZ0ZL/wGbP5Ste02bQPEGs6PJujuNF1jUNOfqrpLp95LbE+oYNDkH8RX8DYujLCYzE4d3U8Nia1F9GpUasoeWzj2+4/xRzLCVMszPH4CXNGrl+PxWElupRnhcRUpN9GmpQv0+R/Td8CPGA8e/Bz4ceK9++bVfCekm7bO4/b7O3Wwvwx5O/7ZbT7s859ORX9v8K5is24cybH3vLEZfh/aP8A6e04eyq38/aQle5/sF4bZ6uJeAuE875uaeNyTAuu73f1mhSWGxPNv73t6NS9+vbY9Zr6A+3CgAoAKACgDxnwT/yV743/APdNf/UYu6APZqACgAoAKACgAoAKACgDxnxt/wAle+CH/dSv/UYtKAPZqACgAoAKACgAoAKACgDjPiP/AMk88ef9iZ4o/wDTHfUAHw4/5J54D/7Ezwv/AOmOxoA7OgAoAKACgAoAKACgAoA/Jr4j/wDJQ/Hn/Y5+KP8A0+X1AH//1v7kv+Gg/hD/ANDd/wCUDxP/APKagA/4aD+EP/Q3f+UDxP8A/KagA/4aD+EP/Q3f+UDxP/8AKagA/wCGg/hD/wBDd/5QPE//AMpqAD/hoP4Q/wDQ3f8AlA8T/wDymoA8z/4XF8OP+Fyf8JX/AMJF/wASD/hWf/CPfb/7I13/AJDH/CU/2l9k+y/2Z9t/48v332j7P9l/5Z+d5vyUAemf8NB/CH/obv8AygeJ/wD5TUAH/DQfwh/6G7/ygeJ//lNQAf8ADQfwh/6G7/ygeJ//AJTUAH/DQfwh/wChu/8AKB4n/wDlNQAf8NB/CH/obv8AygeJ/wD5TUAH/DQfwh/6G7/ygeJ//lNQAf8ADQfwh/6G7/ygeJ//AJTUAH/DQfwh/wChu/8AKB4n/wDlNQB5n8YvjF8OPFXw48RaDoPiL7fq1/8A2R9ktP7I121837Lrul3k/wC/vNMt7ZNltbzSfvJk3bNibpGRGAPTP+Gg/hD/ANDd/wCUDxP/APKagA/4aD+EP/Q3f+UDxP8A/KagA/4aD+EP/Q3f+UDxP/8AKagA/wCGg/hD/wBDd/5QPE//AMpqAD/hoP4Q/wDQ3f8AlA8T/wDymoAP+Gg/hD/0N3/lA8T/APymoAP+Gg/hD/0N3/lA8T//ACmoAP8AhoP4Q/8AQ3f+UDxP/wDKagD5l/a5/wCCnH7Hn7FPwS8VfHX42/E1NJ8NeHbWQabpFtouunxF4x1542bTfC3hawutNt11DWtTmVYoYzKkNuhe5upYreN3oA/yR/2//wBvH9oX/grN+1B4avptK1yfSYr6P4cfs7fBLSZ5tUTwxpOua5NcW9hbQRBILzxN4j1a/bUPEGqJDGrzPHB5gstPjloA/wBG7/gg5/wTs/Zo/wCCU37NVlJ4r1zQ/EP7WnxZ0+w1r43+PofDPiC7m0MyxJcWPwv8Lam2hGaLw14Y3+XfSWzxQ65rn2rUZBLClk1AH45f8HqnxH8GeOfgb+wvb+FtZ/tSXT/ix8XJrtP7O1Wy8mObwh4XSJt2o2Nosm5kYYiZ2GMsoBBoA9f/AODMr4neB/BH7DX7Tmn+KNb/ALMu7r9p1bqCH+zdXvfMt/8AhWnhGLzPM0+wuol/eIy7HdX4zt2kGgD+xL/hoP4Q/wDQ3f8AlA8T/wDymoA/nO/4Lx/8Emv2VP8Agqh8Nrv4o/C7xJoXw9/bV8A6JKvgrxw3hvxFYaV8UtLsYnlt/h18R54tCBljkIMPhnxPN5l14euZRBO02jyywwAH+ff+xT+25+2j/wAEUP2w9Q17wxa634O8VeE9bXwt8bvgb4v+2Wvhf4ieH7K6/wBM0DxFpwYROXi3XfhnxRYrJc6dNJBqWm3E1vJJHOAf6sf7Av8AwV2/Y7/4KEfAbw/8afhR43fStSe3tbP4g/DXV9O1a48XfDPxYYFe98O+II9O064t5oxJvk0rWbR20/WbHy7u2cN58FuAfb3/AA0H8If+hu/8oHif/wCU1AHmfhb4xfDjTviP8U9evPEXk6T4j/4Qf+xbv+yNdk+2f2PoVxZ6j+4i0x7m3+z3Mix/6XDB5ud8HmxgvQB6Z/w0H8If+hu/8oHif/5TUAH/AA0H8If+hu/8oHif/wCU1AB/w0H8If8Aobv/ACgeJ/8A5TUAH/DQfwh/6G7/AMoHif8A+U1AB/w0H8If+hu/8oHif/5TUAH/AA0H8If+hu/8oHif/wCU1AB/w0H8If8Aobv/ACgeJ/8A5TUAH/DQfwh/6G7/AMoHif8A+U1AHmfxL+MXw48Qf8K//sjxF9r/ALE+JvhXxDqn/Eo12D7No+m/b/tt3/pOmQ+d5Pnxf6Pb+bdSbv3ML7X2gHpn/DQfwh/6G7/ygeJ//lNQAf8ADQfwh/6G7/ygeJ//AJTUAH/DQfwh/wChu/8AKB4n/wDlNQAf8NB/CH/obv8AygeJ/wD5TUAH/DQfwh/6G7/ygeJ//lNQAf8ADQfwh/6G7/ygeJ//AJTUAH/DQfwh/wChu/8AKB4n/wDlNQAf8NB/CH/obv8AygeJ/wD5TUAcz41+OXwt1fwb4t0rT/FH2i/1Pwzr2n2MH9ieIovPvL3Srq2tofNn0mOGPzJpUTzJpI4k3bpHVAzKAHgr45fC3SPBvhLStQ8UfZ7/AEzwzoOn30H9ieIpfIvLLSrW2uYfNg0mSGTy5onTzIZJIn27o3ZCrMAdN/w0H8If+hu/8oHif/5TUAH/AA0H8If+hu/8oHif/wCU1AB/w0H8If8Aobv/ACgeJ/8A5TUAH/DQfwh/6G7/AMoHif8A+U1AB/w0H8If+hu/8oHif/5TUAH/AA0H8If+hu/8oHif/wCU1AB/w0H8If8Aobv/ACgeJ/8A5TUAH/DQfwh/6G7/AMoHif8A+U1AHmfhb4xfDjTviP8AFPXrzxF5Ok+I/wDhB/7Fu/7I12T7Z/Y+hXFnqP7iLTHubf7PcyLH/pcMHm53webGC9AHpn/DQfwh/wChu/8AKB4n/wDlNQAf8NB/CH/obv8AygeJ/wD5TUAH/DQfwh/6G7/ygeJ//lNQAf8ADQfwh/6G7/ygeJ//AJTUAH/DQfwh/wChu/8AKB4n/wDlNQAf8NB/CH/obv8AygeJ/wD5TUAH/DQfwh/6G7/ygeJ//lNQAf8ADQfwh/6G7/ygeJ//AJTUAeZ+KfjF8ONR+I/ws16z8RedpPhz/hOP7au/7I12P7H/AGxoVvZ6d+4l0xLm4+0XMbR/6JDP5WN8/lRkPQB6Z/w0H8If+hu/8oHif/5TUAfih+3d4q0Hxj8e7rWfDl//AGjpreE/Dlstz9lvLTM8CXYlTyb+3tpxsLL8xi2Nn5Wb+H+TPGP/AJLKp/2LsD/6TM/zI+lX/wAnZxH/AGIMl/8ASK5+nv7NHxr+GWgfAT4V6Nq/ib7JqWneE7K2vLb+xvEE/kzo8xZPOttKmgkwCPmildD2Y4Nf0JwD/wAkbw9/2Lqf/pUz+5PBH/k03Af/AGIMN/6XVPcv+Gg/hD/0N3/lA8T/APymr68/Uw/4aD+EP/Q3f+UDxP8A/KagA/4aD+EP/Q3f+UDxP/8AKagA/wCGg/hD/wBDd/5QPE//AMpqAD/hoP4Q/wDQ3f8AlA8T/wDymoA8z+MXxi+HHir4ceItB0HxF9v1a/8A7I+yWn9ka7a+b9l13S7yf9/eaZb2ybLa3mk/eTJu2bE3SMiMAemf8NB/CH/obv8AygeJ/wD5TUAcL8UP2jvhfY/Djx1daX4nNzqUfhPXhp8A0XxFCZb6TTbmK1USz6TFDGTPInzyyIi4yzACvE4kxn1Dh/OcZ1w+W4ycbb83sJqFvPmat/wT5Hj/ADT+xOCOLM1u08Fw/mtaDW6qfU60aTVuvtJRP52fDtpFqPiHQ7K6crBfazpttcylXk2QXN7DFPIVRXkfZG7uVRHdsYVWYgV/D+XYeWNzHA4VK8sVjMPQt39tWhB9/wCbt95/j3kWBlmueZPlsU5yzDNMBg7bt/WsVSovffSbbv8Aqf0r2fx5+DljZ2llD4t2w2dtBawr/YHifiK3iSKMf8gUdFQDp+Vf3xThGlTp04q0acIwil0jCKil9yP9rMPRhhqFDD01anQo06MEukKUFCK6bRilt9xZ/wCGg/hD/wBDd/5QPE//AMpqs2D/AIaD+EP/AEN3/lA8T/8AymoAP+Gg/hD/ANDd/wCUDxP/APKagA/4aD+EP/Q3f+UDxP8A/KagDxH9oTxB8Dvjh8MNe8F3niuKPU2hOoeGtQfw/wCJt2na/aI72Mwf+xlKwztm0u1Dqr2877t21QvzHF/DlDijI8XllRRVZxdbBVmtaOLppulJPflk/wB3UV0nCTveycfzvxS4DwfiLwdmfD9eMI4yVN4rKMVKKcsJmdCMpYaalvGnUd6FdJpSpVJXvyxcfxp+BXxW1v8AZ/8Ai1pfidVn+zWF7Jo3ivS1LqNQ0SaZYtRg8tlXdLDsW7smdNyzwxkABmFfybw1nWO4K4lp4irCpTeFrzweZ4V3TqUOfkr03F6OULe0pO3xRTTV7n+ZfAHFmceEniBRx2Io16MsuxlXK+IMulzRdfBe19ljKLg7KU6biq+HlZ+/ThKL5ZNz/fmw/aQ+DGpWVrqFp4xElteQRXMDjQvEp3RyoHXJXRyu4A4YKWAYEBmxur+0cJiqGOw1DGYWpGrh8TShWo1Iu6nTqR5ovd62eqvo7p21P9asszLBZxl+CzXLq8MVgcww1HF4TEU2nCrQrwU4STTaTs7Sje8ZXi7NHyN+3L8dfA2t/AjUfDPhTxC1/qfiHX9Ds5oF0zWbLOnWs76jdFpb/T7WEqWs4EKCTe2/hSA1fmfjDjfqvB9WhGXLLHY7CYa1/ihFzxE10uv3Mb+t9dj+fPpUZt/Z3hZXwcZ8lTOc5y3A2T1nSpyqY2svNWw0L+p+JNfyWf5kH77fsr/EH4U/DL4EeAfDGoeJBZ6udNk1jW4BoniKbZqmtXEuoXCGWDR3ilaJJoYN8buhEXyuyhSv9reH+Wf2VwjkuGcOSrUwqxlZdfa4xuu7+ajOMenw6JbH+uHgfw9/q14XcJYGVP2eIxOXRzXFxas/rGazljXfRaqnWpQ1/kW20foT/hoP4Q/9Dd/5QPE//wApq+yP1gP+Gg/hD/0N3/lA8T//ACmoAP8AhoP4Q/8AQ3f+UDxP/wDKagD8if8Agob8Q/Dfj34j+Cv+EY1I6nYaP4Pkimm+x39kEu73VrqV4xFqFrayt+5igJdYyhzgMSrBf5i8cK3Pn+VUP+fOVOT9a2Kq/dpTR/nh9MHFqrxtw3g07/VOHHUa7SxWYYl/e40Y9unZOXvn7FfjHwf4H0DwpqOu6v8AYbWTwF4g0+6m+wapdeXrN38QLnUorTy7SyuJG3aZHHcefGjWg/1RmE4MVfq/hRQ9jwTlj/5/VcZX/wDA8TVS/CK7/pH+lfo04P6p4Q8PNqzxeIzbGf8Ag3Ma8E/nGmv6Z99f8NB/CH/obv8AygeJ/wD5TV+jH70H/DQfwh/6G7/ygeJ//lNQAf8ADQfwh/6G7/ygeJ//AJTUAH/DQfwh/wChu/8AKB4n/wDlNQAf8NB/CH/obv8AygeJ/wD5TUAH/DQfwh/6G7/ygeJ//lNQB+ZP7b3gf4WePGb4rfDDWopfFkYVPFuhw6LrtmNdtUXamtQPc6TBbDUrNF23geVWu7cLIA80WW/C/FbgP69Tq8TZTRvi6MObM8PTjriaMF/vUIq3NWpL+LZ3nTXM+Zxlzfxt9JXwX/tfD4jxB4Ywl80wlPn4iwGHp+9mGFpxt/aVKnHWeLw0VbEqPv1qK9paU6cmfmXNqOpXtpp2mT3lzcWemm4TTLOWVnhs/t0yy3K2yN8sIuJ1WWUJhWk+c8klv5ydXEVoUMNKc5wouccPScm403WmnONOL0jzzs3a15avvL+C5YnG4qlg8DOtWr0cLKpDA4aU3KFCWKqRnVjRi9KftqqjKSTtKfvaNs/ZrwG/wz+H/wCyyvw30bXor7xnrMOka3rqRaTrUP2vXLnW9I1K+iF7c6Zb2pi02xtjbQl7gI62p8ks0qK/9o8C8Pw4b4bwGCtH6zVgsXjZxs+fE4hKclfrGlFxpR1atC6ummf61eDXA9LgHgHJsptB5hiqMc0zatCz9pj8dCFScVNayhh6fs8PT1tandW5j7Q/4aD+EP8A0N3/AJQPE/8A8pq+wP1MP+Gg/hD/ANDd/wCUDxP/APKagA/4aD+EP/Q3f+UDxP8A/KagA/4aD+EP/Q3f+UDxP/8AKagD8Zv2sviV8U/Evxm8R3mgeKPF83gxGtovB/8Awj0viHTNOTSVtYN4+ywpZut2bszm6eeHzHk5DMuK/l3xL/1z/wBaMXyf2v8A2fan/Zv1H619W+r+zhe31f3Pa+05va83v8++lj/OX6QX/EWP+Ii5n7P/AFp/sPlo/wCr/wDYv9p/2f8AUPYUua31D919Y9v7X6x7T95z3vpY+aP+En+MH/Qw/Er/AMG3in/4/X5//wAZh/1UX/mRPw//AI2j/wBV9/5sIf8ACT/GD/oYfiV/4NvFP/x+j/jMP+qi/wDMiH/G0f8Aqvv/ADYQ/wCEn+MH/Qw/Er/wbeKf/j9H/GYf9VF/5kQ/42j/ANV9/wCbCH/CT/GD/oYfiV/4NvFP/wAfo/4zD/qov/MiH/G0f+q+/wDNhILbXfivZwJbWes/EO0t493l29tqHiSCCPe7SPsiilWNd7uzttUbnZmOWLGj/jMP+qi/8yIf8bR/6r7/AM2EkfXfi5djyZNa+I1yp/5Zyal4mlU/8BeZgfy/PB2nsuMK1qfs+I6l/scuZSv6rZ/O3lu1IWH8UcV+69jx7Xv/AMu3DiCon0+F6dSCLwT8RvEUy+bo/iC8cn/j41MXQRAx+8Zr1lwDk5I3E/3TzXRQ4N4yzOa5clzaq3b38TTqUoxu93UxLhFK++3n0Z6OD8KfFfiGrFU+EeJsTJ2/fZhhq+HpxT6uvmFSjBLvrp5by9h8J/sw6nrLI/iTx/4S8HwNgsLix8V61eIO4+z6VoMtuW64H2/BPVgK+xy/wY4oxPLLG18vy6Ds2p1p4iqvLkoU3C9u9Tp01P1TJPomeI2Y8ss2xeR5DSlZtVsVUx+Iin3o4OlKlzf3XiV/iP14+A/iX4I/A74aaJ8PbDx/Nq5057y9vtSm8O+JoftmpajO1zeSw2/9kP8AZ7cSMI4It7kIgZiGYiv6H4V4eo8L5Jhcoo1pYn2LqVKteUeT2latNzqSjC8uSCdoxjfZXdm7R/unw14Fwvhzwjl3C2FxdTHfVJV8RicZUh7P6xi8XVdbETp0uafsqXM1GnDmk1GN3q5KPsP/AA0H8If+hu/8oHif/wCU1fRH3gf8NB/CH/obv/KB4n/+U1AB/wANB/CH/obv/KB4n/8AlNQAf8NB/CH/AKG7/wAoHif/AOU1AHmfhb4xfDjTviP8U9evPEXk6T4j/wCEH/sW7/sjXZPtn9j6FcWeo/uItMe5t/s9zIsf+lwwebnfB5sYL0AZHx9/ar+H/hP4T+L7/wAKeI/t3iq70yXSfDtsNJ1y1P8AaepqbWO5868061gQWMUkt5zMpJgUAEmvj+O8+XDvDOY46MlHE1Kf1TBK9m8TiU4Rkt/4Ueaq7J/B0uflnjNxouBfD3Pc4p1FDMK9D+zMqT3eYY9OjSnFLV/V6bq4htXt7K77x/GP9nbwV4U+IPxPsrT4ialNY+DrW21DU/EV4tvf3c9wWgkjtbZPsFreXC3F1fTRSCcx7VEUjMxbaK/mLw+4ZXFfECw2KU5YHD0a2Kx807ScWnCnHn1anUrTVn73wybvvH/O/wAEPD2PiVxxDL8xVWpk+DwuKzHOq0W+dwlCVKhD2l01Vr4qrBxlr8E5Paxz3jDR9S+CvxPd/CfiCa5Ph7V49V8I+KbWC8sHvLSKbzLG7EN3BbTxyqo+z3sDxBS4lQqYZFVuLP8AJs04H4i9jGpUp1cLWjistxsFyqtRUualVg7tNr+HVjf4lKMoxTR5HG3CfEPg9x39UhXrUcTluKp5lkGbU06axeFjUcsNiabTs5Kzo4qknZTjUpzioSXN+4HwR/bH+GnxG8C6XqniXWF0Dxhawx2niXRl0vWbtIr+NQrXtpLYWF3CbG/wZ7ceYrxZeGSNCihv6o4I4tw3FuUU8VFxp4/DqNHMcMnrTrJfxYLrRrJc9NrbWD1ij/SPwg8TsB4ncLUMxjKnRzvBKGFz3L4tc1DFqOmIpR3eFxaTqUZWXK+alKziub2D/hoP4Q/9Dd/5QPE//wApq+yP1cP+Gg/hD/0N3/lA8T//ACmoAP8AhoP4Q/8AQ3f+UDxP/wDKagBr/tDfB6NGkk8YrGiAs7voXiZUVR1LM2jAKB3J4Hv0qZzjTjKc5RhCKcpTm1GMUt3KUrJJdW3ZeVyKlSnRpzq1qkKVKnFzqVKkowpwitXKc5NRjFLVuTSXVrVngnxU/ai+AWqP4AjsPiXo1xJofxN8K+INUVbXWENrpGmfb/tt4fN01BL5PnxfuLcy3Mu79zBLtfb81iONOE8LLkr8QZXCV2rLF06m3f2bklt3+/7P59jvFvwzy2p7HGcccOU6mvuRzGjWaa3T9g6qi15tHoY/bQ/ZiJwPizo/46R4nUfmdFI/l9eKwXH3Br/5qLLfnVaX3tP8vuOJeNnhPJ2XHnD9/PFSS+9wS/H7tTpNL/ah+A+uR+bpHxCsdRTnJtNJ8RSsMddyLpBdcf7Sj6cZr3MvzjKs2h7TLcxwmOhqm8NXp1Grb80Yycl84r1Z9lkfFXDfE1H6xw/nmV5xS1u8BjKGIlG2/PThJ1Ies4RT6Gt/w0H8If8Aobv/ACgeJ/8A5TV6R74f8NB/CH/obv8AygeJ/wD5TUAH/DQfwh/6G7/ygeJ//lNQAf8ADQfwh/6G7/ygeJ//AJTUAH/DQfwh/wChu/8AKB4n/wDlNQAf8NB/CH/obv8AygeJ/wD5TUAcz41+OXwt1fwb4t0rT/FH2i/1Pwzr2n2MH9ieIovPvL3Srq2tofNn0mOGPzJpUTzJpI4k3bpHVAzKAHgr45fC3SPBvhLStQ8UfZ7/AEzwzoOn30H9ieIpfIvLLSrW2uYfNg0mSGTy5onTzIZJIn27o3ZCrMAdN/w0H8If+hu/8oHif/5TUAfzvfHiXTbj4zfE660ib7Tpd540169sZ/Jmt/Ntr2+luo3ENxFBNFlZs7JYY3HQqK/h7jSj9X4s4hpJWUc1xbS8p1XNf+lf1c/x58WcJ9R8S+OMMlyqHEuaSS20rYidZW23VRPb7rn65fsVfG/wBoX7PvhXQfE3iH7Bqmjah4gs2tjpWt3ey3bVri7tj51jp11bkNFcghRMWUcMimv6X8JcQ6/BOXxbu8PiMbh/RRryqJfdUXf8bR/0G+jHjnjPCLJIN3eBx2b4H0UMdUrRX/gNeNvL5H1f/wANB/CH/obv/KB4n/8AlNX6Uf0AH/DQfwh/6G7/AMoHif8A+U1AB/w0H8If+hu/8oHif/5TUAH/AA0H8If+hu/8oHif/wCU1AB/w0H8If8Aobv/ACgeJ/8A5TUAeZ+FvjF8ONO+I/xT1688ReTpPiP/AIQf+xbv+yNdk+2f2PoVxZ6j+4i0x7m3+z3Mix/6XDB5ud8HmxgvQB6Z/wANB/CH/obv/KB4n/8AlNQAf8NB/CH/AKG7/wAoHif/AOU1AB/w0H8If+hu/wDKB4n/APlNQAf8NB/CH/obv/KB4n/+U1AB/wANB/CH/obv/KB4n/8AlNQAf8NB/CH/AKG7/wAoHif/AOU1AB/w0H8If+hu/wDKB4n/APlNQAf8NB/CH/obv/KB4n/+U1AHmfin4xfDjUfiP8LNes/EXnaT4c/4Tj+2rv8AsjXY/sf9saFb2enfuJdMS5uPtFzG0f8AokM/lY3z+VGQ9AHpn/DQfwh/6G7/AMoHif8A+U1AB/w0H8If+hu/8oHif/5TUAH/AA0H8If+hu/8oHif/wCU1AB/w0H8If8Aobv/ACgeJ/8A5TUAH/DQfwh/6G7/AMoHif8A+U1AB/w0H8If+hu/8oHif/5TUAH/AA0H8If+hu/8oHif/wCU1AB/w0H8If8Aobv/ACgeJ/8A5TUAcz41+OXwt1fwb4t0rT/FH2i/1Pwzr2n2MH9ieIovPvL3Srq2tofNn0mOGPzJpUTzJpI4k3bpHVAzKAHgr45fC3SPBvhLStQ8UfZ7/TPDOg6ffQf2J4il8i8stKtba5h82DSZIZPLmidPMhkkifbujdkKswB03/DQfwh/6G7/AMoHif8A+U1AB/w0H8If+hu/8oHif/5TUAH/AA0H8If+hu/8oHif/wCU1AB/w0H8If8Aobv/ACgeJ/8A5TUAH/DQfwh/6G7/AMoHif8A+U1AB/w0H8If+hu/8oHif/5TUAH/AA0H8If+hu/8oHif/wCU1AB/w0H8If8Aobv/ACgeJ/8A5TUAfnn411Cz1fxl4t1XT5vtFhqfibXtQsZ/Lli8+zvdVurm2m8qdI5o/MhlR/LmjjlTdtkRXDKoB//X/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoA/x9v+Cw3xx/4KM/8ABRz/AIKffE39n34meFPiX4h8a+CvjP4v+FnwH/Zp0DR9UGneFtAs/Ed5pHh240Lw5HGsFzda/pEVpq+q+M77zGvYLuW7udTh09SEAP7Vf+Ddj/ggd8Mv2Efhp4b/AGrP2gdF0Px9+2R40tb2awluY7fVtB+BGlR313p50Lwc0ge3n8V3H2Vn1vxZGrTozix0qSG3jZ3AP6tKAP4X/wDg+A/5IP8AsF/9lc+MP/qG+FKAPZf+DJ//AJMO/ak/7OlX/wBVh4PoA/s7oAKAP58/+C6H/BCb4S/8FXPhdceOPBUOifDn9srwDosyfDn4lm3S1sPHVjaRvLB8O/iTLAnmXmkXLjytD1+QSXvhu5kABk0t54IgD/Ne+Bvx9/4KAf8ABC/9tTVn0q18T/Bf4y/D7VY9D+Jvws8WQXR8HfEnwxFcl/7L8Q6YJF0/xN4X1eFXuvD/AIj06SR7V5Bf6RfRSrPGwB/qW/8ABJD/AILLfsz/APBWT4RReIPh5qNt4H+OvhXTrQ/Fz4C63qEB8TeFb5kWOXWvD5ZkfxN4Iv7gOdN1y0R3tSfsOrRWt4g80A/RrwT/AMle+N//AHTX/wBRi7oA9moAKACgAoAKACgAoAKAPGfjJ/zSr/ss3gb/ANylAHs1ABQAUAFABQAUAFABQBxnxH/5J548/wCxM8Uf+mO+oAPhx/yTzwH/ANiZ4X/9MdjQB2dABQAUAFABQAUAFABQB4z4J/5K98b/APumv/qMXdAHs1ABQAUAFADJJI4Y3lldIookaSSSRgkcaICzu7thURVBZmY4ABJwBSbUU5SaSSbbbsklq227JJLVtv7rEylGEZTnKMIQi5SnJqMYxirylKTslFJXbbslq7WZzB8d+CF4bxl4VX1z4h0gfzvB/P65yK4XmuVrfMsAvXGYdfnU/r5o8d8ScOrfP8lXTXNcAv8A3OIPHfgc9PGXhQ/TxFpB/leH+f5YNCzXK3tmWAfpjMO/yqf18mC4k4de2f5L8s1wD/8Ac47/AITnwT/0OHhb/wAKDSf/AJLo/tXK/wDoY4D/AMK6H/ywP9ZOHv8AofZL/wCHTA/rXPH/ABn4x8IyfFn4LTx+KvDkkFt/wsb7RMmt6Y0UHneGrVIvOkW5KRea4KR+Yy72yq7iMKf2rlf/AEMsB/4V0P8A5YH+snDv/Q/yX/w6YD/5eewf8Jz4J/6HDwt/4UGk/wDyXR/auV/9DLAf+FdD/wCWB/rJw7/0P8l/8OmA/wDl5+FP/BQe+stS/aFnvdOvLW/s5vBnhnybuyuIbq2m8v8AtCKTyp4Hkik8uWN4n2MdsiOhwysF/lfxeq0q/F0qtGpTrUpZdguWpSnGpCXKqkXyzi3F2knF2ejTTs0f5ufSixOHxninVxGExFHFYepkGT+zr4erTr0anIsTCfJVpSlCXLOEoS5ZO04yi7OLR+rf7Lnivwvpv7PXwjstR8SaBYXkPgzTfOtL3WNOtbmHzPMlj82Ce4jlj8yKRJU3qN0bo4yrKW/feBswwFDhHh+lWxuEo1Y5dR5qdXE0ac48zlJc0JTUleLUldappq6Z/a/g1neTYPws4Gw+LzfLMLiKeQYT2lDEY/CUK1Pnc5w56VWrGceaE4zjzRV4SjJXUkz3v/hOfBP/AEOHhb/woNJ/+S6+r/tXK/8AoZYD/wAK6H/yw/TP9ZOHf+h/kv8A4dMB/wDLw/4TnwV/0OHhb/woNJ/+S6P7Uyx7ZjgH/wBzdD/5YH+snDz/AOZ9kv8A4dMC/wAq/wDXyZfi8S+HbjHka/os2enlarYyZ+m2c/y/PAraONwc/gxeGn/hr0n+U3/XRnVDN8pqfw8zy+pfbkxuGn+VV3/D9DVingnUPBNFMp6NFIkin6MjMD+H6/w7xnGavGUZLvGSa/C6/rpex2wq06qvTqQqLvCcZr74tr8fu1Jaos8Z/aD/AOSQ+Lv+4B/6k+i0AezUAfN37Xt4LH9mz4ty7tpl8MGzU5xze39la4HuRMRjv26V8X4iVPZ8FcQyvbmwPs1/3FrUqdvmpH5L4611h/CTjmd7OeTugvN4jFYajb5qb/Pofgp+zxZ/b/jp8JbTGfN8feGiR14i1OCYn8BHn/8AVX8n8HU/bcVcP07Xvm2Cdv8ADXhLz7f8Nuf5n+FeH+teJHA9C1+fibKHbyhjKVR/hH/M/p8r+5D/AGKCgAoAKACgAoA/C/8Aa8+B15c/8J98b9Bt3mgsvi14w8N+L7aFCfs8P2u1n0vWiqAny2mvZrO9kxhCbWSRwCwX+efGPhDllDinAUtJctHNoQW0tqGMaS6r91Wl35JSerZ/C30q/C7knT8SMmw3u1HSwfEtKlHap8GEzRxilpJJYfFTafvexqTkrs9R/wCCfP7SkGntH8C/Gd95UF1PLP4B1G6l/dx3MxMlz4bkeQ/Is777nTMHb5zTWwUbo6jwh41jS5eFcyq8sZzlPKK05aKcveqYJt3spO9Sh/ecoK10jP6Lvi3Twrh4b5/ieWnWq1KvDOKrT92FWfv1splKVmlVlzVsHq4qbqUUveiaf/BUHxVH5Xwt8Ext+98zW/FF0gPSPbBpVkWHuxvtueuGx0rfxzx65chyxP3ubFY6av0ShQp3Xm3Vtr0e51/THzqPJwZw9GXv82Y5xWin9m1LBYdyXm/rHLfsz8v/AIc+Fp/G/j3wb4Rt4zLJ4i8SaPpJQdfJu76GK5b6R25lkPstfhmTYGeZ5tluXwV5YzG4fD2/u1KsVN/KN38j+OeFMmqcRcTZDkdKLnPNc2wGC5V/JXxFOFV9fhpOcn5LW25/VFY2cGn2Vnp9qgjtrG1t7O3jAwI4LaJIYUA7BY41UD29q/vKlTjRpU6UFaFKEKcF2jCKjFfJJI/2iw9CnhcPQwtGKjRw1GlQpRW0adGEacIrbRRilt9xaqzYKACgD8Cf+CiWo/bf2jb61D7l0rwj4YswM/ceWG5v3Hsf9MGa/kvxire04yqU73VDLsDT9HKNSq//AE5/wFo5f5kfSpxX1jxYxNFO6wWR5Ph9Okp06uJkt3r+/Xb01P0L/ZP086ZB8IrVk2M37NVneOP9rUPHtxfknpyftAP+PWv6F4Ao+w4N4ep2s3l1Oo/+40p1f/b/AD9Xe5/cnglhXg/CjgWi48spZFQryW2uKqVcTd6LVqqvXfS9o/ddfXn6mFABQAUAFABQB8V/ty/Gz/hVHwju9F0i78jxd8QFuNA0rynxcWWlvGBreprg7k8u1kFnBIQVM90uOUO38z8UuJ/7A4eqYbD1OTMM258Jh+V+/ToOP+011qmuWDVOL1XPUXax/Pf0jvEP/Ungavl+Br+zz3ihVcswXJK1XD4KULZjjEk7x5aM/q9OTXL7Wsne8bH4L2vhLxFfeF9W8Z2ul3U/hvQ9U0zR9U1RI2a3tL/V4b2eyilcKQA6WModiQEeW2QkGdN38oU8vxlXA4jM4UJywWFr0MNXrpXhTrYiNWVKMn5qlK70s5QX2kpf5o0cjzXEZNjs/o4OtUynLsZg8BjMZGLdKhisdTxFTDwm1olKOGmnJ2UZTpRetWCl+ivwH/adfxT8EvEvwT8b3zy+INJtNFbwVql1IXl1bSLPxFo8s2izyucve6XbxtLaM2XmsEZNzvb4r+h/Cbjn67Rhwzmtb/a8PB/2ZXqy97EUIq7wspOydWik3Su25U1yrmcYn91fRm8ZP7XwtHw94kxV8zwVJrh3G15+9j8HTV3ls5yd5YnCRV8Pf3qtBci5pUoo/aev3Q/sgKACgAoAKACgAoAKACgDxn9nz/kkPhH/ALj/AP6k+tUAezUAFABQAUAFABQAUAFAHjPgn/kr3xv/AO6a/wDqMXdAH5Z/8FIvizH4j8d6D8LdKuxLp3gi2fUddSJsxt4j1WNfLgcqcF9P00IGRgfLlvJQCCGDfzJ40cQRxuaYTIcPU5qWVxdbFcr914yvH3YP+9Ro2uujqNbn+eX0tON45txJlnBmCrqeF4dpPF5lGEk4vNsbFclOVvt4XB8qcZX5Z4ia0acT61/4J5fCv/hCvg9L41v7by9Z+I97/aUbOgEsfh7TzJa6RGrY3CO5kN3fbTwyzxMN2AV/QPB/If7M4ceZ1YcuJzmr7ZNr3lg6V4YdX3Sm3Uq20TUovzl+4fRY4L/1e4DnxDiqPJmHFeI+twlKK545VhualgYp/Eo1pOtiLN6qdN66Hrv7Vf7Pmn/Hz4eXFjaxQQeNvD6T6j4Q1NgqMboJmbR7mXr9h1RUERDblgufJuBt2uzfRce8IUeLMnnShGEczwinWy6u1Z+0t72HnK6/dV0uXVNRnyzVrSPuvGrwuwvibwrVw1GFOnxFlcamLyLGNKL9so3qYCtO1/q2MUVB3uqdVU6qStLm/DH4R/FLxx+zh8T11q0gurS90m9k0fxb4ZvN8MepWUM/l32mXsLbQJo2VpLSf70E6pLG4RmLfyzw9n2acF54sTTjOnUw9WWGzDA1LxVelGfLVoVIu3vKzdOd04ztJN/a/wA4OBuM+IvCbjFZhQpVqOIwOIngM7yiu5U44vD06vLicHiIOyVSDi5UKmjp1EpwlyyfN/Rn8NfiN4Y+K3g3R/G/hK9S80nV7dZNu4faLG7UAXWnXsf3obyzlJimjYKcgOAUdGb+yslznA59luGzTL6qqYfEQva656VRfxKNVfYqU5aSi/JrRo/1d4R4ryfjXIMBxFkeIjXwOPpKXLde1w1daVsJiIqzp16E7wqRaXSSvGScu7r1T6Ux/EOv6R4V0PVfEmvXsOm6NoljcajqV9cMEit7S1jMkrsTgE4G1EHzO7Ki5ZlFc2MxeHwGFxGNxdWNHDYWlOtWqzdowpwV23trpZK+rdla6ODNM0wOS5djc2zPEU8Jl+XYari8XiKrShSoUYuU5Nu13ZWjFayk1FXbSP55/j7+0z8SPj74y1HTNH1LXrbwVd6j9h8L+CdKe4X7ZbhvItZL60sws2p6jf4E0kMqzLG8iwxRr5Y3fyBxbxvnXFuZVqGFrYunllSt7LA5ZQc17WF+WnKrTp+9XrVficZJpOXKoqyP8s/E7xe4s8Ts/wAVg8Bi8yo8PV8V9Xybh7BSqr29K/s6MsTRw/LUxmKxP8SVOopxg5KnCKULypwfsbfHxtN8O6pqPhS30GDxTrmmeHtJh13VbOxvm1HVzN9iW6sR5t1ZxOsDu8lxEhjTblNzbK3wPhTxpjqMK/8AZ9LCxmrqGNxVKhVt/eo+/ODtraSi7PuduT/Rr8Wc4wlLGRyPDZbTrQU4U82zHD4PEcr258N+9rU21aSjUhB235W7Horf8E7f2kFGRYeDnP8AdXxVAD/4/Zqv6/iOrdr8HeMraUsufl9ej+tM9Z/RV8WUv92yF+Szqmn+NBL8fuufPl7p3xS/Zl+KVol/Fc+F/Gvhe6sdTjSK5Wa0vbZ9s0WJrZzb6hpl9DuilUFkdTJGypKjV8hVo59wPntNVYzwOZ4GpSrxUZ81OrB+9H3oScK1CrG8ZatNXTUWj8uxGF4z8IOMqCxMK2TcQZPWw+LhGFVToYijK1SH7ylOVLFYPEwvCa95NOUXFTi4n9GHwg+I1h8Wfhv4T8f6ciwp4h0uK4urRXEn2HUoi1vqVizAsc217FNGu47igRjnPy/2Tw7nNHiDJcvzailFYyhGdSmnf2VaPuVqT1fwVIySu72s3a5/q3wJxZhuN+Esk4nwsVTjmmDhVrUFJS+rYum5UsXh29f4WIhOKu78vK3e6PSq9o+uCgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoA/nF/bU03+zf2mPieu3aLzUtO1Jff7dommzFu33nLH/HJNfxn4mUPYcbZ4rW9pWo11/wBxcNRnf72/6sf5PfSDwn1Txe4xjayr4vCYtef1jL8JUb+9v9dj9Hv+CZ+rm8+DfizSSSf7G8d3LKCfupqWk6dOMDsC8Uh46nJr9n8EsR7ThvH4dv8A3bNZtLsq9CjL8XF/n1P6x+iHjvb8A53gW/8AcOJKzS7RxeBwlT8ZQkfo5X7Kf1gFABQAUAFAHjPgn/kr3xv/AO6a/wDqMXdAHs1ABQAUAFABQAUAFABQB4z42/5K98EP+6lf+oxaUAezUAFABQAUAFABQAUAFAHGfEf/AJJ548/7EzxR/wCmO+oAPhx/yTzwH/2Jnhf/ANMdjQB2dABQAUAFABQAUAFABQB+TXxH/wCSh+PP+xz8Uf8Ap8vqAP/Q/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoA5X/hBPBH/AAlf/Cd/8Ib4V/4Tj7J/Z/8AwmX/AAj2kf8ACV/YPL8r7F/wkP2P+1/snlfuvs32zyfL+TZt+WgDg/2fP+SQ+Ef+4/8A+pPrVAHs1AH8L/8AwfAf8kH/AGC/+yufGH/1DfClAHsv/Bk//wAmHftSf9nSr/6rDwfQB/Z3QAUAFAH4/wD/AAVv/wCCNX7M/wDwVk+EUvh/4iadbeB/jp4V068/4VH8etE0+BvE3hW/ZDJFoviAKqSeJvA9/cBBqWh3cjPak/b9Jktr1D54B/lnfHL4Dft+f8EMf22NKttVvPEvwX+NXw91J/EHw0+J3hO5uf8AhEviR4Vju/JXWPD+oYWx8TeFdYjjW01/w/qKO1tI7afq9lFMsDsAf6VH/BBn/grr4C/4Kq/D/wCJPi7Uv7J8H/tIeFtG+Gtr8Y/hnBcRoxvNM0e/0Obx34WtncTXPg/xBewLPG0aP/Yt9djSbsxuIPNAP6CaACgAoAKACgAoAKACgDxn4yf80q/7LN4G/wDcpQB7NQAUAFABQAUAFABQAUAcZ8R/+SeePP8AsTPFH/pjvqAD4cf8k88B/wDYmeF//THY0AdnQAUAFABQAUAFABQAUAeM+Cf+SvfG/wD7pr/6jF3QB7NQAUAFABQB87/tUeBvHPxF+CXizwr8PLp4PEd59gmS2jufscmrWFpdxz3+kJcF40R72BCqrJIkcpQQs3z4r4/jzK80znhjMMBk83HG1VSkoKp7J4ilTqRnVw6m7JOpFaKTipcvK2uZ835X40cOcR8V+HmeZLwrWlTzbELDVI0Y1vYSx2GoV4VcTgY1XKEYyxFOLSUpRjNx5G3zJS/DY/siftJgnPwh8Uk88hdPb+V/3+h+hr+XH4eca7Ph/HfdTf5VtPv+WrZ/nI/AvxcX/NC5z8lhX+WIf5vybs2N/wCGRv2kzx/wqDxX/wB+7H/5MA/UfUdaleHvGu3+r2YJPyp2+f7xfnr0tcn/AIgZ4t/9EJnf/gGGX4/Wn+X3Dv8AhkT9pP8A6JD4p/7508fob8/z/Kq/4h7xr/0T+P8Aup//ACx/n94/+IGeLf8A0Qmdfdhv/l5l3X7Lvx/sdS0rR7v4XeI4NT1z7d/ZNm4sfNvv7Mt1ur/ycXxX/Rrd1lk3kfKRjJo/4h7xt/0IMf8AdT/+WB/xAzxb/wCiEzr7sN/8vNT/AIZD/aU/6JD4p/LTv/k6j/iHvG3/AEIMf91P/wCWB/xAzxb/AOiEzr7sN/8ALzyHxx4A8Y/DbWl8O+ONCuvDmuNZQah/Zl7JbPcpZ3TypbzSrbTziLzjbyskcrJKYwkuzypY3f53NcpzLJcSsHmuGqYTFOnGr7Cq4uapzbUJSUZS5eblbSfLK1pW5ZQlL4XiLhjPuEswWVcR5bXynMXh6eK+p4iVJ1o0K0qkaVScaVSoqfO6cnGM3Gbhyz5eScJS9H0D9mL49+KdF0vxF4e+GWv6xoetWUGoaXqdk+nS215Z3CB4pom+3AjIO143VZYpFeKVElR0X2sJwRxbjsNQxmDybF4jC4mnGrQr0vZyhUpzV4yi/afJp2lF3jJKScY/WZZ4P+Jec5fg81yrg/NMfl2YYenisHjMO8LOjiKFWPNCpCSr31WkoySnCalCpGM4yjHX/wCGQ/2lP+iQ+Kfy07/5Oro/4h7xt/0IMf8AdT/+WHd/xAzxb/6ITOvuw3/y8af2Rv2k1/5pB4r45yI7E/ltvnJP0A/Ck/D3jXrw/j38qf8A8s/rbqJ+Bni2tf8AUTO/lHDP8FiL/cn6Mqy/sw/tIWXLfCbx7HjvBps0n4g28r56dj2+9xWcuBuNKX/NP5srdY0ZP7uST/8Abv8A24xn4O+LOH1fBHE0bafu8JUn93s5+XTf+7o5Y0vgb9oXwrIFPhn4taK6sADbad4rtgGzxh7VNuc46N/31k7eaWVcY4BpPA8Q4Zp6clLHwSfk4K35fLVS4J8N+KWStJ5Pxxl7i0l7HC53RSfSzoxtva1n8429796/2U/+Fl/8KO8H/wDC2P7Q/wCEr2Xu3+19/wDbH9i/an/sb+1PN/f/AGz7Ht3faP3/AJPk+ZzX9YcBf23/AKr5d/rB7b+0LVP95v8AWfq3tH9X+sc3ve19nb4/f5OTm1P9MfBX/W//AIhzkP8Arv8AWv7b5cRb69zfX/7P9tL+z/rvP+8+sfV7X9r+89n7Pn1sdL+0H/ySHxd/3AP/AFJ9Fr7E/VT2agD4/wD27rp7X9mXx3s/5ebjw5av2+SXX9PLf+gD69O4r878VajhwRm1vtywdN+jxdFv8v6sfhH0k60qPhBxLy/8vquU0Zf4Z5nhW+j/AJfL11Pxo/ZLgW4/aQ+EEbDIHi+1m6Z5t7a6uF/8eiHPY1/Nnh9BT404di9v7RhL/wAAhUmu3WP/AA+x/AfgfTVXxZ4Eg9lntGp86VGtVX4wR/SvX9rn+uYUAFABQAUAFAHgvw10XS/EekfGbQdbsbfUtI1f4tfECw1Gxuo1kgurS5j0yOWKRG4wVb5WGGRtroQ6hlwxOGoYzD1sLiqUa2HxFOdKtSmrxqU5q0ota7p77p6qzSZx5hl+DzXA4vLcxw9PF4HHYerhcVhq0VKnWoVouFSEk+6ejVnF2aaaTPxB/ab/AGffEP7OfxCWTTmvW8I6netqfgjxFCzrJbmGb7Qumz3Kf6jVtJfYFJbfNCsV1GWy5X+O+OOEcXwbnCdB1Xl1eq6+V4yLalDllzqhKa+HEYd2treUVGonLWUf8q/GHwvzTwo4qUsJLEPI8ZiHjeHc1g5KVJ05qqsJUrR/h43BS5Ur+9UpxhWhzXm4+XfFz4weKvjNrGg6/wCL5ln1bRvC+meGnuE4F7/Zsl051CRBwlzefaFku8ZDzhpP4sL4XEPEeP4lxGExeYyU8RhsDQwTmv8Al57FzftmtlOrzc1S287vqfG8c8d514gY/LMzz2oquNy/JsHlEqsdFX+qTrN4qUdo1sR7RTr8qSlV5pa3Sj9D/wDBP3waPFH7Q2kapNCZbTwZo2reI5HxlY7vyV0zTyfQ/aL/AMxeesXevsPCLLfr3GGHryjzU8tw2IxjfRVOVUKPz56vMv8AD5H6n9F/IFnPingcZUpudDh/L8dmspWuo1+RYPC3eyftMS5rvyabH9AVf1wf6fhQAUAFAH85H7a2qHVP2mPiaxbcLG/0zS15zgWOiabEV9sPu45/XC/xp4m1vb8bZ29/Z1aFBdf4WGoxtstmnpr6n+UH0hcZ9c8XuMHe6w+KweDXl9Wy/Cwa+UlL+mfsb8ItNGj+MfhxpgUL9i/Zh8LwlR0DDXrIv/4+Wr+s+HqKw2Q5NQSt7LK8BC3ZrDU7/jc/014FwawHBfCeDSt9X4cyam12ay+hzdvtN/8AB3PqqvYPqgoAKACgAoAZLJHDHJNK6xRRI8ksjsFSONFLO7s2FVUUFmYnAAJOMUpSUU5SaUYpyk27JJK7bb0SS1bf6EznGnCVSclCEIynOcmlGMYq8pSb0Sik229EtXsfzg/tUfFq8+Ovxs1e+0ppr3RNOu08JeC7SLc3n2dtcm3W4gjywM2sX7yXPy/fWWBOdiiv4y484gq8VcT4iph3KphqNRZfltOOvNThPkU4xu/exFVyqab80Vd2R/k340cb4jxI8Q8dicE6mIy/C11knD9CF5e0oUazpRqUoXf7zH4mUqvuv31OktOVH7P/AAS/Zz8M+DP2f7T4UeJ9LttRPibS5bvxyskalrrWNXhV7hVdgXR9KHk21k+WMD2iyx/eav6V4Y4NwOW8I0+H8dh4VvrtCU81UlrUxOIinUtJpNOguWFJ3fI6d42uz/QLw88KMn4f8MKHBOcYKlinnGCnX4jjJJutj8dTjKslNxUk8F+7o4eWvs5UFOLV7n4e/Hv4NeJP2efidd+Hp3uDYrP/AGt4P15QyLqWkmYm2mVwNn2u0YfZr6IFtkyEldkqbv5h4o4fzHgjiD2MKlSCpVli8qx0LxdSjGfNSmpJaVaTShVj73vLVcsrS/zv8ROCc98IeN3hKVavSjh8THM+HM3pXpyxGFhV58PVjNOyr4eSVHEwUn78XzJQmlL9zv2W/j9p3x9+HVtrEhitvF2hiDS/F+mJ8vl6gsX7vUrdM5NjqiK08JAxHL50BCmILX9RcCcW0eLcmp4mTjDMcLy0MxoLTlrJe7Wiv+fddJzi0tJc0LR5Uf6L+DPidhPE3hSjj5OnSz3LlTwee4OOjhilD3MXTje/1fGxi6tP+SftKb5eVKX0tX2p+uhQAUAFAHxx+1f+1cn7OSeGNO07wwnibxD4mjvL2GK9u5bHTbPTbCSKCWWWWCKWaa4lmmVIok2BFRndiGAX844+4+XBkcDRo4FY7GY5VKkY1KkqVClRpOMZSk4pynOUpWjFONuVt3vE/BPGzxsj4TxyfC4TJ45xmucRxGIpwxFeeGweHwmGnTp1JznTpzqVKs6lRRhTi4cqi5Sbuj4t/wCHoXjb/olfhb/we6t/8Yr80/4jnmX/AEIcD/4U1z+fP+JyOIv+iKyX/wAOWP8A/lYf8PQvG3/RK/C3/g91b/4xR/xHPMv+hDgf/CmuH/E5HEX/AERWS/8Ahyx//wArD/h6F42/6JX4W/8AB7q3/wAYo/4jnmX/AEIcD/4U1w/4nI4i/wCiKyX/AMOWP/8AlZx3gr/gop4z8D+E9L8K6f8ADnwxdx6X9u8u9vNV1XfJ9t1G71Ft8MKxqNj3bRrtk5VFJBJIVS8c80t7uRYBP+9iMQ19ycX+P3famf0x+JXH93wZkcZd54/Hzj/4ClBv/wACRleJP+Cj3x51cMmiWfg7wrGyld1lpE2p3K5HVZdWu7mIMOoP2c49+NvjY3xn4rxF1haWW4CL608POvP5Sr1ZRv10gvx935bN/pY+JWOvHLqGQ5LBpq9DA1MZVV+qqY2tVimu/svu+KXb/sl/tP8A7Qvj346eH/Duv+INQ8Z+Hdea7j1+xuLCyW00Wwis55xqts1jaQfYfs00US8v5cwcxMGL4r1fD7jni/NuKcJgsXi6uZYPF+1WLpTo01Tw1KNOU/bwdOEfY+zkl9rlnflcW2fReB3jF4pcTeJGWZTmeaYriDKsydeOZ4erhsOqOX4aFCrV+u0nh8NS+rexqQgrc7jUUuR3u0ftRX9Ln+g4UAFABQAUAFAHyn4l+ImmfCnWf2mfHuqsnk6Bpfw8uLaBmAN7qUnhe6h02xjBKl3ur2SGLap3BC78BTu8biDOKGQZPj82xDXLhKEpwg2k6tZ+7RpLu6lRxjpd2u+jcflOOOK8FwTwrnXE2OcfZ5Zg6lWjSbSeIxclyYTDQV05Sr4iUIWTvyuT1sz8RPhf4P8AEX7R/wAc9O0q/nmur7xj4iudc8U6id7m20sTtf61dFidyrHbbre2HRXeCMDAAr+PMiy7G8acU0cPVlKdXMcZPFY6tq+SgpOriajfRKF4Q1jq4pPRH+VvB2RZt4seI+EwWJqVK2Jz7NauY5zitZOlg/aPFZhXb3io0ualSXSUqUdkf0raRpVhoWladoulW0dnpuk2Vrp1haxALHBaWcKQQRKAAPkjjUZxljknJNf2th6FLC0KOGoQVOhh6VOjSpx0UKdOKhCK22jFf8G9z/XPA4LDZbgsJl+CpRoYTA4ejhMNRgko0qFCnGlSgkrL3YRSv1eut2zRrY6j8sf2+f2XpNftrj42eA9NMusWEGfHWk2UWZdRsIExH4gghQAy3llGPL1FUBkntlSfErwuK/CPFngWWMhPibKaPNiaUf8AhUw9Ne9WpRWmLhFJ81SmtKySUpQtN8ziz+MfpNeDkszo1fEPhrCOePwtP/jJMDh4e/i8LTXu5pTpxvz4jDxXLi1GPPUoqNX3pU5uXxN+yT+0tqXwF8ZpaarNPdfDrxJcQweJdODO/wDZ0pIjh1+wi3bRc2gOLqNQDdWm5NxdIwv5j4fcbVuE8yVPESnUyfGzjHG0bt+xl8McXSXSdO/7xL44abpH88eB/i7i/DPP40MbUqV+FM2q06eb4RNy+qzb5IZnhoXSVWgn++gv41G8bqcYH9DGlapp2uabY6xpF5b6jpep2sF9YX1rIstvdWtzGJYZopFJDI6MCO45DAMCF/sChXo4qhSxOHqRrUK9ONWlVg+aE6c0pRlF9U0/LzSs0f6l4LG4TMcJhsfgcRSxWDxlGniMNiKMlOlWo1Y89OpCSumpRafdbOzVj5L/AG8NbuNF/Zo8ai34OsXfh/RJTnGLe91i1abHruSAqR6MfSvz/wAVcTLDcE5nyf8AMRPCYaXlGriIOX3qFum/laX4h9JXMamX+EXEKp74+vleXTfaniMfRlU6PeNJx6fFvofnr/wTb8FaN4j+L3iLxFqtpBeXHgrw1Hf6MJ1Mn2XVNTv0s0volP7sTwWyXKxSMC0bS748Oua/H/BbLMNjOIcbjcRTjUnlmCjVw3MrqnXr1VT9rHpzwpqai2nbmurO0o/y39Erh7AZtx1mubY2hTr1OHsojicB7SPMqONxmJjh44iC+FVKVGNZQk03Bz5o2aTP1n+Mn/NKv+yzeBv/AHKV/Up/o6ezUAfkp/wVB8LWKwfC3xpHCqajLca54aup1wGmtY4rbUrJJAMFzDI14UY52iQqCAcV/PvjngaShkWZKNq0p4rBTmvtU1GFamn3cZOdm72UrLe0f4e+mPk2HVPgziCNNLFTqZjlFaotHOjGFLF0Iy78k3XcW1dKbSsj07/gmfrU198HfFmjSSSPHofjic26OzFIotT0uxuWWIH5UVp45ZGVMAuzMfmYlvc8EsTKrw3j8O5NrC5pPkTbaiq9ClNpdFeSlJpW1d3veX2H0QswqYngPPMBOc5Ry7iOp7KMm3GnDGYLDVnGCeiTqRnNpWvKTb1d5fo7X7Mf1iFABQAUAFAHGfEf/knnjz/sTPFH/pjvqAD4cf8AJPPAf/YmeF//AEx2NAHZ0Afzt/t1Nu/aa8f/AOzH4dX8vD2m/wCPt+PWv478VHfjfNvKODX3YSj6f13vc/ys+kjLm8YOJ/KGVR+7K8J6f133PuD/AIJfPnwL8Uo8/c8WaK+P+umjyrn8fK9e3av1DwMlfKs9j2zDDP8A8Cwz/wDke333P6L+hxK/DfGcP5c8y+X/AIHgJr/2w/USv3Q/sgKACgAoAKAPGfBP/JXvjf8A901/9Ri7oA9moAKACgAoAKACgAoAKAPGfG3/ACV74If91K/9Ri0oA9moAKACgAoAKACgAoAKAOM+I/8AyTzx5/2Jnij/ANMd9QAfDj/knngP/sTPC/8A6Y7GgDs6ACgAoAKACgAoAKACgD8mviP/AMlD8ef9jn4o/wDT5fUAf//R/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAflv/AMFaP+CWfwS/4Krfsxa98GfiNZWeifEfQLfUNd+CHxWitI31v4eeORaOLOQzhGnufDGsyLFYeJtI3eXdWL+fGjXdtblQD/Kb/Z9+L37Xn/BEP/gpBDqK6Nqnhf41fAP4gXHgb4lfDuc3P9lfEfwjc3kNvrXhidIdn9q+H/GmjSW+o+HdQhVmDz6Tqtt+9i2UAf7QXgXxN/wmvgjwd4yOmXminxb4V8PeJjo2oDF/pP8Ab2kWmq/2ZfDZHi8sPtX2W5GxMTRP8i/doA6qgAoAKACgAoAKACgDxn4yf80q/wCyzeBv/cpQB7NQAUAFABQAUAFABQAUAcZ8R/8Aknnjz/sTPFH/AKY76gA+HH/JPPAf/YmeF/8A0x2NAHZ0AFABQAUAFABQAUAFAHjPgn/kr3xv/wC6a/8AqMXdAHs1ABQAUAFABQAUAFABQB4z42/5K98EP+6lf+oxaUAezUAfgV/wUU/5OOvP+xM8Lf8Aou9r+TPGP/ksqn/YuwP/AKTM/wAyPpV/8nZxH/YgyX/0iufrh+yf/wAm4/B7/sTLD/0ZPX9CcA/8kbw9/wBi6n/6VM/uTwR/5NNwH/2IMN/6XVPoWvrz9TCgAoAKACgDxn9oP/kkPi7/ALgH/qT6LQB7NQB8X/t+vt/Zn8W/7eseFk/PXLQ8/iPzr818WnbgjMfPEYBf+XVN+Xb/AIfY/n/6TkreEOef3sfk0fvzGg/0+e3U/IH9kAZ/aV+EWO3iZj+Wl6hX87+HOvGvD/8A2Gv8KNV+X9d9j+EfAlX8XOBf+xw392DxT/r/AIJ/SdX9pH+twUAFABQAUAFAHjPwb/5qr/2Wbxz/AO4ugDs/Hnw98HfEzw/c+F/HGg2XiDRblhIbW8Q7oLhARFdWk8ZSe1uotxMc8EiOucZILBvNzXKMtzvBzwOaYSli8NPV06id4zV+WpTmrSp1I/ZnGSa/vJuJ4HEvC+QcX5XVybiPLMPmmX1Wp+xrp3p1YpqFahVhapRrQ5nyVKc4SW3vJuJ+Jv7ZP7Nvwz/Z6sdAl8I6lr1/qfjPVr02unaxc208Gh6JpkMclwLd4raK5up57u5tIEubqTMcCTx7ZHlLp/MfiRwXkfCFLCSy+viqtfMsRVcKOInCUcLhaEU58jjCM6kp1J04xnN+7CM07uSZ/nl4++EnCHhbhssnkeMzLE4ziDHYh0cJj61GrTy7LsHCM6vspQo061apVr1sPTjWqy92nCrDllKbnH6O/wCCYXg/yNB+JXjuaIq+oalpfhmylI4aDT4H1G+Cnrjz7y0DYyMx89ML9n4G5dyYTOs1lFp1q9DA0pPrCjB1qtv+3qsE/OPkfq/0Osh9nlvF3EtSDUsVi8Fk+Hm1vTwtOWLxPK+3tMRQTs9463sfqvX72f2qFABQAUAfzNftDXR1/wDaM+KEind9s+I2q2a98iLURYoPwEQHGPYDpX8ScYT+t8Z541r7XOa9JdVpW9klr2slqf5B+Kdb+0/FbjGcdfrHFeNoL/tzFfVklv8AyJb/AHn71aFaix+NWjWQGBafATTrUD0Fv4siiA/DZiv7UwsPZ4XDU+lOhRh/4BTjH9D/AFvy2j9Xy7AYe1vYYLC0bdvZUKcLdduXv9573W52hQAUAFABQB8P/t3fGz/hV3wmn8NaPeeR4t+IguNEsTFJtubHRAgGt6iu0h490Ei2EEnQy3TEcxsV/L/FXif+wuH5YLDVOXMM458LS5XadLC2/wBprK2qvFqjFu95TdtY3j/On0k/ET/UzgiplGAr+zzzin2uX4b2crVcPlyjbMcWrNSjenKOGpytbnrNq/Kz8+P2APgqfiJ8Uj461e083wv8N2hvwZU3QXviacMdItOQySfYgr6lNGykfu7bP3wK/IfCPhl5xnv9q4inzYHJnGquaN4VcbL/AHemnqn7KzrSTXSC1uj+XPow+Hr4q4z/ANZMdQ58m4SdPE+/G9PEZxUT+o0Nbxl9XSli6ia05KW/Mj956/q4/wBLj5C/bZ+F+j/EX4Ia7dT2kR8R+F5tN1LwxqJAE1tdXWrWGnXVoZPvG1vra6eOWMnb5qwyjaYya+L464Uo8V5JWwyhFZhhoyr5bXejhXS1ouVv4ddLkmuj5ZXjy+9+S+MvhrhPErhDF5fGnTjnmXxqY3IcW0lKnjIQu8LKW/sMbFexqRbspOnU93lufjj+zl8YNb/Zz+MFvqGpRXVtpT3jeGfHmiyZR/sAuvJuZHiPH2zR7lTdQEgnMcsQyszBv5h4N4ixXBvEcKteNSGHdV4LNcM9H7Ln5JycdP3mHn+8h35ZJXu2f53eE/HeY+FHHlLFYynWpYKWIlk/EuXzvGf1ZVvZ1pShf/eMBVTrU782sJwSfP739H+n6hZarYWWqadcRXen6jawXtldQsHhuLW6iSaCaNgSCkkTq6nPQ9ua/s6jVp16VKvRnGpSrU4VaU4u8Z05xUoSi+qlFpo/1kwuKw+Nw2HxmFqwr4XFUaWIw9am7wq0a0I1KVSDTd4zhJSWuz6FytDcKACgDx74vfAf4afHHT9OsPiDokmoHSJpJtMv7K8n07UrPzwouIYry2Ic28/lxmWCRXjLIrqEYMX+d4h4VyTiijRo5vhXW+rylKhVp1JUa9LntzxjUhvCfKuaEuZOya5Wm5fB8deGvCPiNhcLheKculivqNSdTB4nD16mExmH9pb2sIV6TUnSq8seenNTheKainfm+f8A/h3n+zX/ANAXxT/4Vuo//G6+R/4hBwX/ANA2O/8AC6ofl/8AxKx4Sf8AQBnX/h8xP/ysP+Hef7Nf/QF8U/8AhW6j/wDG6P8AiEHBf/QNjv8AwuqB/wASseEn/QBnX/h8xP8A8rD/AId5/s1/9AXxT/4Vuo//ABuj/iEHBf8A0DY7/wALqgf8SseEn/QBnX/h8xP/AMrPPPhB+w3+z/4s8AeHvEut6J4gutS1D+1ftOzxNqMFu/2TW9SsYdsEJTbi3tolbbINzAseWxTXhDwUnd4TGy8njqqX/krT/H77lQ+i14RwlzPLc4ml9meeYtxf/gPs3+L9HZH0H4e/Yy/Zt8Nsslt8MtL1KVWDLJr11qOt7SOmIr+7kt/ziP0PWvWwfhtwXgmpU8koVpJ3UsXUrYqz72q1JQ/8k+/Q+myrwA8JMokp0eEMHi5p3U8zrYvMLPyhicRVpfJwt66nv+geEPCnhWLyPDPhvQvD8WwRlNG0mx00NGCCEkNpBCZACAfnLcgHtX1uEy/AYCPJgcFhcHFqzWGw9KhdLo/ZxjfXu/usub9PyzIslyWHssnyjLcrhyqDjl+Cw2E5oLVRl7CnBzSav7zeqvpodFXYeqFABQAUAFABQB+Gn/BQHx9exfFDxb8OrC5KaffXXg3XteijYjz7nTfCtvDpNvLyQUhXUrq5KEf6wwtwUAr+dfGziFzrYHhuhP3KUVj8ek3rUn7uFpy6Plgp1bdHOD7H8IfS644lVxeTcBYKt+6w0I51nMIP4q9XmhltCp0ap0va4jlvfmq0m7WifS//AATf+Dy+H/Bes/FvVbbGq+MpX0nw+ZU+e38O6dPi5uI9yZX+09RRhvRl3QWcYyysQvueDHDiwmWYniHEQtXzKTw+DclrDB0Z+/NXv/GrR+KNrxppNO9z7D6JvAayvh/H8c42jbG5/OWBytzj71LKsJUftasLq6+uYuLXNFrmp4eG6kj9NK/bj+vwoAZJGkqPFKiSRyI0ckcih0kRwVdHRgVZGUlWVgQwJBBBxSaUk4ySaaaaaumno007pprRpr77kyjGcZQnGM4Ti4yhJKUZRkrSjKLunFp2aas1o73Z+K/7Wf7EfinSfF0njH4L+GL3X/DXiOeSfUPDWjwia88OapIxeU21tvDy6RdsxeHyg7WUu6FwITG6/wA0eIHhhjsPmEsy4ZwNXF4LGTlOtgcPHmqYKvJ3l7One7w9RtyjZy9nJuDSjyyl/nz43/R3znA57PPvD7J8RmeUZrVnVxWUYCCqV8pxk3zT9jRupTwFaTc6fIpPDzvTl7jhI/QX9jjwB47+G3wN0Hw18QlmttbGoapf2+k3M4uJ9D0q9ljez0uZg8iRyRlZp2to3ZLY3HkrjaRX674cZRmuS8LYTBZvzQxSq16sMPOXPLC0Kkk6dCWslFxtKTgm1Dn5T+ovAThjiThHw4yzKOKVUpZgsVjMTSwNWp7Wpl2CxE4yoYOck5RhOLU6sqMG40XV9mm2pKPCf8FDP+Ta9a/7Gnwn/wCnE15Xi/8A8kXif+w7A/8Ap1/1/wAMfM/Sn/5NJj/+x1kn/qU/6/4Y+R/+CXv/ACO3xV/7FbQf/Ttc1+e+Bn/Iyz3/ALAcN/6kSPw36HH/ACUXGn/Yly3/ANTqp+mfxk/5pV/2WbwN/wC5Sv6SP7+PZqAPzA/4KgEf8IB8MB3PjHVSPoNFOf1K9/zr8N8crf2Rkff+0a9v/Cb+u/6x/jn6Y3/JL8HLr/b2N/DL3f8ANdfvH/8ABMDP/Cu/iZ6f8Jpp2P8AwSRf569j0xT8Df8AkTZ3/wBjOj/6ix/r/hyvoc/8krxf/wBlBhP/AFXQP08r9xP7ECgAoAKACgDjPiP/AMk88ef9iZ4o/wDTHfUAHw4/5J54D/7Ezwv/AOmOxoA7OgD+dL9uF9/7TXxG/wBmXQ0/758P6Z/nt6dst/HHii78b5z5Swq+7B0Py26/pH/Kb6Rkubxf4s/uzy2P3ZXg35d/ltra59tf8Eu5M+GfizFnprvhqTH+9p+ornr32enbr2r9O8C5f7DxBHti8FL76NZfp/n0P6H+htP/AISON6d9syyidvXC4tX/AAR+qdfvJ/aQUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM+Nv+SvfBD/ALqV/wCoxaUAezUAFABQAUAFABQAUAFAHGfEf/knnjz/ALEzxR/6Y76gA+HH/JPPAf8A2Jnhf/0x2NAHZ0AFABQAUAFABQAUAFAH5NfEf/kofjz/ALHPxR/6fL6gD//S/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAH50eJP2Ev2N/jz+1t45+Onxm/Zq+D/AMS/i98OpfhdN4N8f+L/AAZpWseINFltfDkkto63FzE0d61nJa2zWf8AaUV59k8iIW/lCNBQB+i4GOBwBwAO1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df8AuUoA9moAKACgAoAKACgAoAKAOM+I/wDyTzx5/wBiZ4o/9Md9QAfDj/knngP/ALEzwv8A+mOxoA7OgAoAKACgAoAKACgAoA8Z8E/8le+N/wD3TX/1GLugD2agAoAoX2q6Xpfkf2nqVhp32qTybb7deW9p9ol4/dQefInmycj5I9zfMPlOayq16FDk9tWpUfaS5Ie1qQp88v5Yc8o80v7q19Ptc2JxuDwfs/reLw2F9tP2dH6zXpUPa1P5KftZw556r3Y8z121L9anSFABQAUAFAHjPjb/AJK98EP+6lf+oxaUAezUAfgR/wAFEjn9o+/H93wd4VH/AJBu2/8AZvb9AW/kvxjf/GZ1V2y7A/jGf9b/AHWP8yPpVP8A42zifLIclX/lOu/1/q6P1z/ZRG39nL4PD/qS9OP/AH08xH6Gv6G4BVuDeHf+xbR/Fyfl+X3H9y+Cat4T8Br/AKp/CP73Ufn3/wCG2PoSvrj9SCgAoAKACgDxn9oP/kkPi7/uAf8AqT6LQB7NQB8Wf8FAI3f9mjxSU/5Z634Vkf8A3BrVup/Isp+lfmni3FvgnH2+zicDJ+n1mCf5+XfW1j+fPpPRlLwhzm32cxyWT6+6swpL83/Vj8hf2P3VP2lfhGW6HxKyD/efS9QVf1I9P6N/O/h00uNeH2/+g1r5ujVS/Fn8K+BElHxc4Gv1zdxXrLB4pL8Wu3ztY/pNr+0z/W0KACgAoAKACgDxn4N/81V/7LN45/8AcXQB7NQB+FX/AAUk8VnWfjdpHhuNw0HhHwfYQsqnhL3Wbi41K4B5Pz/ZzYhunAUdsV/K/jTj/rHE+HwSd45fl1KLSe1TEznXlfz5HT/J9D/N36WudfX/ABEwOUxlenkWRYaDSd1HEZhVq4uon/e9k8Pf5duWP6R/sReFF8Kfs3eAVMfl3HiGLUPFFzlcOzazeyyWxfuT9hitAuc4QADphf2jwwy9ZfwXlKtaeLjWx0+7eJqycG+/7qNNei0P60+jvkiyTwm4ZThyVc0his5rXVpOWPxE5UnLRN/7NCglf7NrWtaP1lX6AftwUAFABQB/MT4tf+1P2htfY/N9t+L9+gA5yJfF7xgAc5yCAOfzr+Hcwft+MMW9/acRVV63zFx/H+tj/HnPH9c8U80e/wBY48xUfXnz6UeqW9+33n9ByLt/aDVey/BcL+XjbH9K/uJKyS7aH+wqVkl2SX3aHtFAwoAKACgDO1fVtO0HS9R1rV7uKx0vSrO41C/vJ2CRW9paxNNPK7HAwsaEgdWPyrliBWOIxFHC0K2JxFSNKhh6c61WpNpRhTpx5pybemiXz27HLjsdhctwWKzDHVoYbB4LD1cViq9WSjTpUKEHUqTk3bSMYt929FdtI/m7+PnxV1/9o/4yXWq6fBdXNreX8PhrwLoiBnki0z7T5GnxLF0F1qM0hu7p9q/vJ8PhYgV/i/izPsZxpxJOvRhUnTqVY4LKsKrycaHPy0kopaVK0n7Wo0vilZq0bH+S/ibxrmnizx9WxuFpVq1GviaeUcN5dHmlOGD9t7PCwUNEq2KqT9vXkuX36lpWULy/d/8AZx+D9p8EfhR4d8GKkTax5J1TxPdxgH7Xr9+qSXh343NFaAR2VuCzqsVuChAbL/1ZwZw5T4YyDB5alF4nl9vjqkUv3uLqpOq763jTXLSgrySjBWbv7v8ApT4T8CUPDvgnKsgUYPHuH13OK8Nfb5niVGWI97dwopRw9JNtKFJNW5ry92r6o/STxn9oP/kkPi7/ALgH/qT6LQB+WX/BRj4J2vhPxhpPxY0G18nTPHMstl4iihjxBb+JbSFHS8O3Ow6taBnk3EK1zaysvzSkV/MnjJwxDL8xw/EGEp8lDNJSpYyMVaMMbTimqmmzxFO7ld6zhJq/Mz/PH6Vvh5RyTPsFxvltH2eD4jnPD5rCnC1Olm9CmnHEaaReOoJynfSVajNrWbPr7/gnh481fxd8DpdE1dbqX/hBdfuNB02/n3MlzpU8EWo2ttE5+8NNa4ltcA4SLyE4wa/RPB7NcRmPCzw2IU5f2Xi54ShWle06EoKrCEW9/Yubh5RcV2P3f6K/EuPzzw5nl+OjWn/q3mdXLMHiat3GtgqlKGKo0YSd+b6o6s6Nl8MPZx0tY+9a/Vz+lwoAKACgAoAKACgDxn9nz/kkPhH/ALj/AP6k+tUAezUAFABQAUAFABQAUAFAH45fGv8AY+8f/GX9pb4kX/hrV9Ij0I6p4Wu9cv8AVrySK70mDWtBs5hHa2a287Xy262twkCRvGAqwq+Nx2fgPF/hXnWecUYjM8Hi8L9QzCrSqVp4ipONbCcsIQqQVNU5+1ilG9LkktHaSjb3v4k8Ufo28W8Y+I2O4hyvNMueS57icPiMXWxterDF5Wo0aVCtSp4dUqn1iEVScsOqc1ZSSmlZxj+tXg/wvpngnwr4e8I6NEsOl+HNIsdIskVQuYrKBIfNYDI8ydlaaXnmSRzzmv3LLsDQyzAYTL8NHloYPD0sPSVre7Sgo3a196TTlLX4pdT+xchybB8PZLleR5fBU8FlOBw+Bw8UuW8MPTjT52k2uepJOpOz1nJvQ6Ouw9YKACgAoAKAPiz9v+xmvf2afFDRDP2HW/C99LxnEMerwwue2MGdTntjvkCvzTxbpSq8E49x/wCXWJwNWX+GOJjF/jJd/wAbx/nz6T2GqYjwizlw/wCYbMcmxM9L/u4Y6nB+lnVTv5Hw/wD8Eydc0+x+KHjvRLm5jhvtd8H20mmwu2Hun0rU0muo4gfvtHb3BmYA5CIxAIDFfy7wPxVKlnua4Wc1GpisuhKjFvWboV1Koo92oS5nvom+jcf51+h/mOFw3GPEuXVqsIYjMshpSwlOTtKtLBYyNStGC+1KFKr7Rrfli3smfqb8ZP8AmlX/AGWbwN/7lK/pw/0NPY5JI4o3lldI4okaSSSRgkccaDc7u7YVERQWZmOFAycAUm1FOUmoxim5Sbsklq227JJLVtvTyJlKMIynOUYQhFylOTUYxjFXlKUnZKKSu23ZLV2sz8Mv+CgHx88M/FHxT4f8D+DbuPVdH8BzanJqWtQNvs77Xb7ybee3sJQ3l3NtYQ2wja5RQklxLKsTuiZX+WvFzizA57jsHleW1FiMPlUq8q2Jg706mKq8sJQpNaThSjCzqJ2cpNLmSuf5xfSf8Tco4zznK+HMgrwxuA4aqYyWLzCk70MRmeI9nSqUsNJSlGrRw1OioSrL3Z1ZzjBtQbPt3/gnf4I1Lwr8CX1jVLN7OXxr4kvdfsVkG2WfSI7W00+wuiuARHcNbXEsGSS0LLIPlcV+oeD2V18Bwq8RXpulLM8bVxdJNWlPDqFKlSm1vaThNxu9Y2do3XN/RP0V+HcXkvhtLHY2hLDz4hzbEZlh1NWnUwMKNDC4as1ZWjVdGrOndtuDUtpRPvOv1Y/pYKACgAoAKAOM+I//ACTzx5/2Jnij/wBMd9QAfDj/AJJ54D/7Ezwv/wCmOxoA7OgD+a39rrUP7T/aR+Lc4cOsXiiSxRh026dZWdjgEE5Aa3I6/lX8V+Idb2/GnEEr3Ucc6Se/8GnTpWXo4tdfwtH/ACP8c8V9c8WuOKvNzKGcyw0X5YTD0MNZay2dJ9fv+z+hf/BL23C+Cfipd45l8U6Hb7sdoNJnkxnrwbkEj3Ffr/gZC2WZ9U/mx+Fh/wCAYeb/APbtreelz+pvocUrcPcaV7fHnWXUr/8AXrA1Z2+XtvxP1Hr91P7KCgAoAKACgDxnwT/yV743/wDdNf8A1GLugD2agAoAKACgAoAKACgAoA8Z8bf8le+CH/dSv/UYtKAPZqACgAoAKACgAoAKACgDjPiP/wAk88ef9iZ4o/8ATHfUAHw4/wCSeeA/+xM8L/8ApjsaAOzoAKACgAoAKACgAoAKAPya+I//ACUPx5/2Ofij/wBPl9QB/9P+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoAKAPLPjdP43tvhN4+n+HCTP43i8O3j+HhbKHu/tY2+Y1khBDXqWvntZr1NyItuWwG8LieWZx4fzaWTKTzRYOp9T5EnU9ppd0073qKnzOnpfnta7SPjPESpxFS4I4mqcJqo+IoZViJZWqSTr+3Vud4dSuniFR9q6Ctf2yha7sfzdav8RPi5DeXEWt+NviDb3yyyG5hv/EHiG3nSbe3mCSGW6iaNg+QVKLg5UAYr+L8RnHEUKs44rMs4hV5pOcK2LxkJqV3zXjKpdNO+llbyt73+S+O4p45p16sMx4h4opYlVJ+1p4rNM0pVI1OZ86nTnWi4tSumnHR6XWiM+L4m/EiFg8XxA8bIynIK+KdcBB9f+P7/AD+NYRzzOou8c3zOLvfTHYlWfdfvVb7n8jlhxhxbTalT4o4hg07pxzrMlZ99MStfl997Hofh39qH9oHwu6NpXxW8XGNHV/s+pai2sWz4x8rwaql4hUgAEDZn1GcV7GD464uwLToZ/mDSd+StW+swfk41/aK2m2ny3Pqcq8ZPFDJpRlguNc95YtS9li8W8fSlbpKnjVXi13Wl9u7PrH4d/wDBSv4kaNNFb/EfwzovjDT8oJL3SF/4R/WUQcMyqvn6bcORyVa3tskffXJ2/oGTeNec4aUYZ1gcNmNG6vVw6+qYlLq0k5UJt76wh8vtft3Cn0ueLMBUhS4syfL8/wALeKniMCv7LzCEVo2ox9pg6snvyulQ/wAaveP6LfCn9r34HfFkW9rpXimHQNfnCj/hHfFXl6PqBlIG6O1mllfT77DHav2W7kdyRiNCSrfsmQeInC/EHLTw+PjhMXLT6nj7Yas31VOUpOlV10XJUu+z2P6s4K8dfDnjf2VDBZ1TyvM6iX/CVnTjgcS521jRq1JfVcTZuy9jVlKT+yrqMe38DsG+LvxuZSGVh8NGVlIIYHwvdkEEcEEcgjgjkV9wnfVap6prqfsKaaTTTTSaad009U01o01s1+p7PQMKAPxb/wCClfhTxvaePvCvjea6u7nwReaPb6PpCxSy/Z9E1yyknuL2J0BCQ3GoJLHdQzqMyCJ4w4aLbX80+NeAzSnm2AzSU6k8rqYaGGw/LJ8mGxVOU51ItbRlWUlUjOy5uVxv7iUv8+/pc5LxFR4myXiKpWr1uHK2ApYHAqEp+xy7MsPOrVrwklpTq4qM41qdRJOShKKd4Wl9Q/sJ/tIR/E3wdH8OPFmpK/jzwdapFZS3Uv8ApPiLw5CoS2ukMjl7i90xQLa+Ay7QiC5KqrOa+58KuNI55lqybMKyea5dTUaUqkvfxmDikoTV23OrQ0hV1bceSVkrs/ZPo2+LUOMMghwnneLUuJshoxhh516n77NcpppRpVoub5quIwatRxKXNJ0/ZVdnNn6B1+un9QBQAUAFAHjPjb/kr3wQ/wC6lf8AqMWlAHs1AH8/P/BQa6Fz+0r4iQEH7J4d8K2px/CRpSTkHrzm4z+PbgV/I3i9Pn41xi/594PAQ0d/+XCl8n72x/l99KKsqvi7msU7+wyrJaL8msFGo1u/+fl+m+2qP2T/AGZbU2f7P3wgtyMFfAmgyEe89os57nvL6/TFf0hwTT9lwjw7DtlWEff46an/AO3H99eEFH6v4YcC0u3DeWy/8GUVU62/n7fce519Sfo4UAFABQAUAeM/tB/8kh8Xf9wD/wBSfRaAPZqAPkL9uuDz/wBmXx/xnyZfDs/02eINOGfybt/SvzzxUjzcEZt/dlhJfdi6P5bn4V9JKn7Twg4n0v7OeVVPTlzTCa/j5/Lc/F/9lKUQftG/B+Q9P+E006M/9tkmi/8AZ6/mngGXJxlw6/8AqZ0V/wCBKUfPe/b7z/P3wUn7PxX4Dl/1UGFj/wCDFUh1/wAR/S7X9sn+u4UAFABQAUAFAHjPwb/5qr/2Wbxz/wC4ugD2agD+aL9pHW5vH37RfxIu7aRpzfeNrjQtP53futOmi0K0jTrx/oq4A7semSK/ibjTFSzbjLOqkHz+1zOeFpa7xozjhaaW+nuK2nW+up/kR4s5jU4m8VuLa1KTqvE8RVctwu79zC1IZbQjHfT9yrWvq3uf0b+C9Ch8L+D/AAt4cgQRxaF4e0fSURRgD7Bp9vbMcc8s0RY89WPXNf2ZluFjgcuwODgko4XB4bDpLRfuaMIfi1c/1f4ey2nk2Q5LlNKKhDLcrwGBjFKyX1bC0qT07uUW35s6au09gKACgAoA/mFmPmftCynrv+Mr/r436d/5/XOa/h2XvcYS8+JH56f2lvut15/ef47T97xSn/e4/l56PiJ/of0Kf83C/wDdGf8A3d6/uI/2JPZqACgAoAKAPzG/4KTfFXxB4b8J+F/hnpEdxaaf44F7qGv6pGXVLmw0ma3SLRFddoAuLiVLq7Qs3mQwxpsCM+/8Q8ac+xeCy/A5LhlOnSzT2lXF11dKdLDyhy4VNW+OclUqLrGMVqpSR/Hv0tuNM0yjJMm4QwEatDC8RrEYnM8ZG6jWw2BqUlDLlJWS9rVnGtXi2+anCEbWlI8r/wCCdv7Pp1TU5vjj4oss6fpEs2n+Bre4j4udUAMd/rqKw5jsFZrSzkyv+lPNIm7yV2+B4O8Ie3rS4ox1L91h5So5XCcdKlezVXFJNPSkn7Ok1b33Jr4bnxf0VvC765i6niNnOHvhcDOpheHKVWGlXGJOGJzKKktYYZN0MPJf8vpVJK/IpH7G1/Rx/ewUAeM/tB/8kh8Xf9wD/wBSfRaAPRPFPhHwz430a58PeLtD03xFol2Ua403VbWO6tXeM5jkCSAmOWMk7JYyki7iFYBmDcePy/A5nhp4PMMLQxmFqWc6GIpqpBuO0kn8Ml0lG0ld23tLys5yPJ+IsvrZVnmW4TNcuruLq4PG0YV6MpQ1jNRn8M468tSDjON2k9bB4W8I+GfBGjW3h7wjoem+HdEtC7W+m6Vax2tqjyHMkhSMAySyEDfLIXkbaAzEKoUwGX4HLMNDB5fhaGDwtO7hQw9NU4Jy3k0vik+spXk7K+1omTZHk/DuX0cqyPLcJlWXUHJ0sHgqMKFGMp6ym4w+KctOapNynKyTeljoq7D1QoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQAUAFABQAUAFABQAUAeM+Cf+SvfG/wD7pr/6jF3QB7NQAUAFABQAUAFAHK+OfB+keP8Awh4i8Ga7CJ9K8SaTd6XdqRkotzEVjuI+mJraby7iFv4ZYlPOMVwZpl2HzbLsZluLip4fG4epQqJq9lOLSmu0oStOL6SimeLxHkWB4nyLNeH8ypqpgs2wVfBV01dxVWDUKsdrVKNTlq03fScE9NT+b/xT4c+Iv7LXxk+zLcTaX4l8I6pHqGiatCHW01jTGctbXcedq3FhqVqWgu7c9N01u+GUM38Y4/BZzwHxJyKcqONy+uq2FxEU1TxNC94VI7KdKtD3akH3lFptWP8AJrOsp4r8GePfYqrUwebZHjI4rLsdTUlQx+Ecm6VeF+VVMNi6N6dek3pzVKTtKN5folc/t6/Dfxz4Q8Cah4ostR8O+LfCfxA8LeJNe0S0tZL60vrLSlvxd3GhXmdshd5ottneGCaLfkySxq8i/vuUeMfDuJy6VbNVWwGYUKadXC06U68MRO6j/slRb8zfNyVORwjduUknKP8AbPC/0rOBcfkNTF8SwxeS53g6CliMtw+Gq4yljqt4w/4TK0bJ88pc3ssS6cqUFKUpuMWz5O/aG/bT+Inxnu73QPDM994N+H8x+zQ6HYS7dW1qNjt3a3fW7eZL5xKgadav9lUABhM5LN+ScYeJmccS1KuDwMquW5RP3I4WlK2IxMdr4mrDWXO7fuYNQWzU7uUf5i8U/pB8VeIFfEZZlFTE5BwvUfsaeW4adsdmEG7c2Y4mi+aftNF9VotUY7NTcpOXzn4OtvBGgXsGufENbnW4LQ+fbeBdHmEV7q1xG6+VD4g1Q5g0HSywf7TDEbzXJfL8g6fZwzreV8dltPK8HVjis5U8VGm+aGVYaSVXETTVo4vEfBhKG/PGPPipcvL7GnGcZx/Kcho8O5ZiKeZcVKtmFKi/aUeG8BUUMTjasZLkhmmM1pZZg783tqcVWzGfJ7L6pQhUjiD9wf2QP2ndO+O2m614ZTwdbeC9Q8D2Oli203S7mS70ZtCl32Vilq80UUsEtqbYQvC4cOjK6t8rV/UPh3xxR4roYnBLLYZZWyulQUKNCcqmGeFlenSVNySlCVPkUXFuXMmmrWZ/ot4EeMOE8ScHmGURyCjw9iuHMPg1SwmCrTr5e8tnzYfDKjKdOE6c6LoqnKnJz5otSTVmfalfpZ/QYUAFABQAUAcZ8R/+SeePP+xM8Uf+mO+oAPhx/wAk88B/9iZ4X/8ATHY0AdJqupWuj6XqOrXsixWel2N3qF1K7BEjt7OCS4mdnbCqFjjYljwOpz0rKvWhh6FbEVWo06FKpWqSbsowpwc5Nt6JKKbuzlxuLo4DB4vHYiUYUMHhq+KrTk1GMaWHpSq1JOTsklGLd29PK7P5U/GevzeKvF3ifxLcO0k2v6/q+ru7HLH+0L+4ulGTg4VZVUZ6BQOcZr+CcyxcsfmOOxs23LF4vEYht7/vasprv0a6/ef4sZ/mdTOs9zjN6snKpmeZ47HSb1f+1YmrWS67KaS12S3sft7/AME4/DC6N8BbnXGjKT+LPF+sXxYjBktdMjttJtjnuPMtrorjj5vc1/UHgzgfq3Cc8U01LMMwxFW7606Khh4fK8J29T/RT6J+TrAeGdXMXDlqZ3nuOxDbVnKjhI0sFSd+q5qNW3z7s+/q/Wz+nQoAKACgAoA8Z8E/8le+N/8A3TX/ANRi7oA9moAKACgAoAKACgAoAKAPGfG3/JXvgh/3Ur/1GLSgD2agAoAKACgAoAKACgAoA4z4j/8AJPPHn/YmeKP/AEx31AB8OP8AknngP/sTPC//AKY7GgDs6ACgAoAKACgAoAKACgD8mviP/wAlD8ef9jn4o/8AT5fUAf/U/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAxb7w34d1OQzaloOi6hKww0t9pdjdyMDk4LzwSMRyeC3c9MkVzVcFg675q+Ew1aT3lVoUqj++UZP8fv15fPxOU5VjJOeLyzL8VN6OeJweHrya7OVWnJvV9X9/wBny/xd+zn8D/HEBg8Q/DLwnOxVgl1Y6VBo99EX6tFeaSLK4VucgmRh/s9Avh5jwdwxmsHHGZJl83bSdKhDD1Y36qrQ9lJP15r6XSskfG574UeHXEdN0814PySo2pKNbDYOngcRBy3lCvglQqJ9dZ2T11Pj7x3/AME0vhnqyTz+AvFfiHwleFWMFnqfleINJEnZWLra6jHHnjd9qmYD+FsV+c5r4J5JiFOeU4/GZfUd+WnX5cXQT7O6jWS9JyfrY/COJPoicH46NSrw1nea5HXak6dDF8maYLmeybl7HFQgttK02kra7nxB4+/YH/aB8Fi7udN0XTvHGmW291uvC98kt5JEg3Fzo96LW/3YyfLhW4bsCSMV+X5t4S8XZZ7SdDDUc0oQu1PA1U6ritb/AFaqoVb26RUn0WrR/OvE/wBGXxQ4f9tWwmX4XiLB0uZqtk2IjPEShFXcngcR7HE3tryU41H0XNsfG+oabqWjXs2n6rY3ul6jaSFJ7O+tprO7t5FP3ZYJ0jljYEfxL7jOc1+b1qNfDVZUcRSq0K1N2nTqwnTqQa/mhJRlF38vS2vN+B4rCYvL8RUwuNw2IwWLoS5amHxNGph69Kae06VRQqQkmuqj5dXL9Ef2Nv2uvDfws/4SnRfi3qOu3FtrCeG4dE1yGzfVmsoNFh1O1NnqJWc3xgjgurVLSSOC4MccMiPtASv2/wAPfFChlGDllXElfFVKFKUFl+KjSdeVGlZ89Gs1P2jhF2dJqMmlzRdrKUv6+8DPpFYLhfKqnDXH+NzGvgsPOksjzKGGljZ4ShLmVbCYuUarxEqNOXJLDyVOq6cXOLbSgfrn8PfjL8L/AIqrP/wgHjTRfEk1rDHcXdlZztHqFpDIcLJcWFysV3Em4hGdoQiuQjEMVFfvGT8SZFnyn/ZGZ4bGypxUqlOlO1anF7OdKajUirtJvlsnZOzdpf2jwtx9wdxrGo+GOIMvzapQpwq18Ph6rjiqEJ7SrYarGnXgrtRk3DljK0XZtc3p1e4fYHnnxT+Gfhv4u+B9b8CeKoDLpurwYjuI1Q3Wm38Pz2Wp2bPwlzZzYkQ9HTfE3ySNXj59kmC4hyvFZVjo81DEw0mrc9GrHWlWp32nTlqtrrmi9HaXyvGnCGUcdcOZjw1nVPnwmOp+5Vil7bCYmn72HxmHb+GtQqWktuaPNB+7NqX87njrwV8Sf2Wfi3FbG5udK17w9fJqnhnxDaLIlnrOnLKfs19bN8qzQXEYMF/ZsSYnMttNjKM38eZrlmdcB8Qxh7SdDFYSqq+BxlO6p4mipe5Ug2o3hOPuVab1TbhK3uuX+VvEnD/FvgxxzCl7argszyvExxuUZpQUo0MfhFN+yxFF3SqUqsV7LE0G/dlz0qiWkj9xf2ZP2mPDP7QPhdGV4NK8daPbwr4m8NtKu8PgIdV0wNta40u6cFlZQz2sjfZ5wrBGf+oeCON8DxdgVZxw+a4eEVjcG5a329vQvrOjN66XcG+WVtOb/Rjwf8X8n8Ucmi06eB4lwFKCzjKHNcylbl+u4O7TrYOtJNpqLlRk3TqKLScvqGvuj9kCgAoA8Z8bf8le+CH/AHUr/wBRi0oA9lJCgsxAABJJOAAOSSTgAAckk/lihu2r0S1bfQTaSbbSSV23oklu2+iSP5oP2lvFUPxH/aC+Ims6LK+oWeoeKDpOjuiljcw6clvo1t5KqCWWaW2LQhd+9XUrncBX8Tca4+OdcX5xiMLJ1qdbH/V8M0r88aKhhqfKuqlKDce901uf5D+Luc0+LPFHirH5fOWKoYvOXgcDKKbdanhY0svo+zSb5lUlRvDltzKSstUf0aeAtFXw34H8H+H1j8oaL4Y0LSzHgqUey0y1t5AVOCG8yNtwIyD1xiv7JynCrBZXl2DSt9VwOFoNWtZ0qFOD00s7p309bXP9XuGcvWU8OZDlkY8iy/J8twfJbl5ZYfB0aUk49HzRd10fodZXoHthQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moA+a/2wNGm1z9m74q2luC01v4eXVFULuLLpF/Z6jMoAxz5FtJz2984r4vxEw08XwZn9Omm5Rwft0lq2sPVp15L/wABpv8ApH5J47ZfUzLwm41oUVepSytY1RtdyjgcTQxVRLbX2dKX/B2PwH+B2vx+F/jF8MtfmAMOm+N/Ds02SQBC2pW8MrEjBG2OVmz/ALPfBFfyVwti44HiTI8XP4aGaYOUv8LrQi302Ur7/cf5j+HGZwybj3g/M6lvZ4TiLKqlS+ypyxdKnNv/AAxm5fI/qMr+6T/ZMKACgAoAKACgDxn4N/8ANVf+yzeOf/cXQB6hr+qRaJoWta1OwSHSNJ1HU5WY4VY7GzmunJPYBYj/AJNc+LrxwuFxOJl8OHw9avK+mlKnKb79I9vvOHM8ZDLstzDMKjUaeBwWLxk5PZRw1CpWk3fsoH81fwR0t/iH+0P4BtrhTKdf+I1jq14CCd0a6q2tXhfOePLhlLZPPOc1/FXC9B5xxjlMJrm+t5zSr1Ovuqu8TUbvrblg9z/I7w7wcuKvFPhmjWTm8z4rw+NxF9bxWMeYV3LfTlpycrr77s/pqr+3T/X8KACgAoAKAP5hsH/hobGDn/hc+Md8/wDCb9PXNfw7/wA1h5/6xf8AvRP8drP/AIilazv/AK/2t1v/AKxbd7n9Cf8AzcL/AN0Z/wDd3r+4j/Yk9moAKACgAoA43xr8PPA/xG06DSvHXhfRvFOn204ura21ezjuVt7jG0ywOQJYWZQFk8p1EihRIGCrXm5nk+V5zRjh81wOGx1GE/aQhiKanyT25oS+KDasnyv3lo7ngcQ8LcO8WYSngeJMmy/OsLSq+2pUcfh4VlSq2S56UnadNtWUuSS50kpKVly9BpGj6V4f0yy0XRNPs9K0nTYEtbDTrC3jtbO0t4/uxQQRKsaKMknAyzMXYs5Zq7MPh6GEoUsNhaNPD4ejBU6VGjCNOnTgtowhGyS3em7bbu3c9TA4HBZZg8Pl+XYWhgsFhKUaOGwuFpQo0KFKO0KdKCUYrq7bybk2225aVbHWFAHjP7Qf/JIfF3/cA/8AUn0WgD2agAoAKACgAoAKACgAoAKAPGf2fP8AkkPhH/uP/wDqT61QB7NQAUAFABQAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQB8bftwfC24+InwV1i58P+D7TxN4z0G4sL3S5ktGm1yz0xLtG1caS8JW4mlNqXc2f72N081xEXGa/OPFDIZ5zwziZ4PLqeOzLCSpVaEo03LFU6KqL6x9XcbSnL2d37P3k48zUeZXPwP6RXBlXivw9x9XK8hoZxn+WVMNiMFONB1MxoYSNeLx/wBRdNxq1JuhzSdC84SipyVOUkj8TtC/Z7+MviCCxurPwBr1raanrNn4f0+61m1OiwXms37SLa2EDar9kaSWUwy/OB5MYRjJImFD/wA25XwHxZm8ZzweTYpU4X9/EpYSMmt4weI9lzy8kvLXRx/gPhzwZ8TOKadWvlfCeZRoUlK9bMKayynOUHZ06TzB4d1Kj6KMLaO8l7p2Mn7Hf7S0dybY/CXxCzCQR+bHNpMlsckDeLhdRERj5yX3YAyTjGK6JeHHGsZ8n9gYtu9rxlRcH5+0VXlt5tad9Gjun4C+LsKzo/6kZpJqSjzwqYKVHXqqqxShyrrLn07v7Xv/AMMP+CcfxW8SXsc/xH1DTvAOiIyNNFBcW2ua9cocF47a3s5HsLZwOPNurptpziB8fN9bkfgzn2NqRlnVajlOFTXNGE4YrF1I9VCNPmpQfS9SWn8stEfp3B30T+Nc2xEKnFmKwnDOXRcXOFOrSzHM60esaVKhOeGoyW3NXruz/wCXctpfrB8FvgF8O/gPot1pXgbTp0uNSMD6zrWozm71bVZLdWEXnz7UjigjLyNFa20UMMZckq7YZf37hnhLJ+FMNUw+VUZqddweJxNaftMRiJQVo80towi5ScacFGKvs/il/bfh94ZcK+GuX1sDw5hKkauLdOWPzHF1Pb47GzpJqHtallGFODlNwo0YwpxctYtpM9qr6Y/QQoAKACgAoA4z4j/8k88ef9iZ4o/9Md9QAfDj/knngP8A7Ezwv/6Y7GgD4+/4KA/F6LwF8IJfBenXiReJPiNIdKEKOBcweHISJNZu9qsJEjuNsWnJIMBjcSr821lr8o8XOIo5Tw7LLaNVRxucy9goxfvwwcWpYmpo00p2VFStZ80lrZo/mj6T/HcOGeBJ8P4TERhm3Fk/qSpxkva08ppvnx9eylGcY1bQwsZrRupUWvK4y/CDTtPu9W1Cx0uwha4vtSvLaws7dAS891dzJb28SgZJaSWREHHVu+K/lOjRqYitSoUYudWvUhSpwW8qlSShCK9ZNI/zWwmFr47FYbBYanKricXXo4bD0o6yqVq9SNKlBW6ynKKR/UJ8GPh/B8Lfhd4K8CQnc+gaHawXsnH77VJwbvVJuOoe/uLgqf7m30r+5+G8ohkWRZZlUdXg8LThVl/NXledeXzqynbyP9kOAOF6fBnBvD3DVPWWV5dRpYidkvaYypevjKmjafNiqtVp/wAtt7Xl6fXuH2AUAFABQAUAeM+Cf+SvfG//ALpr/wCoxd0AezUAFABQAUAFABQAUAFAHjPjb/kr3wQ/7qV/6jFpQB7NQAUAFABQAUAFABQAUAcZ8R/+SeePP+xM8Uf+mO+oAPhx/wAk88B/9iZ4X/8ATHY0AdnQAUAFABQAUAFABQAUAfk18R/+Sh+PP+xz8Uf+ny+oA//V/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoA5Lxl498G/D3SJdd8a+I9K8OaXCrE3Op3ccBlK9Y7aE5nu5jwBDbRyynIwtefmWa5blGHliszxuHwVCK+OvUjDm8oR+KpLa0YK/pdHh5/xLkHC2BqZlxDm2CynBU026uMrxpc7X2KNO7q1qj2VOlTnN9Efi9+2F+1R8KfjNps3hjwV4DjvL63vbWSH4k6pZ2djqqw2s6SS2+mQ/ZpdRNpeIhhka6ubV/LfKxhDJHP/NXiLx7kHElCWByzKlUqxqQazqvTp0q6UJpuFGPJKt7Ook4tznB2el48yn/n748eNHBXH+EqZNw9w1DEYiliKM4cXYyhh8NjYwo1IyqUcJT9jPFOhXjF05OrXoy5HdQ5XOE/gDSdG1fXr2LTtE0vUNXv52VIbLTLO4vrqRnYKoWC2jlkOWOM4A59jX5Hh8NicXUjRwtCtiasmlGlQpTqzbfaEFKX4ff9n+YMFl+OzPEQwmXYPFY7FVGlDD4OhVxFaTbskqdKFSb162svPXl/Vr9hn9l74t+BfiLD8T/G+lS+EdGt9C1OxtdJvp0XV9Wm1SJIoxcafFLI9pa26/6UftnlyNKkQWIFWNfvvhZwLxBlWcxzzNMPLLsPDC16VPD1Zx+sYiVeKilOjHmdOEF+8/eWk5KKVrXj/a/0cfBvjjhviunxjxHgp5Fl9LLcZhqOBxNSKx+NqYyEacVVwsJSlQo0l++f1hU5OcYcsLpn651/Qh/cwUAeFfHz4B+D/j74Pl8PeIYVtNXs1lm8N+I4Y1N9ot+yfKQcZnsZmCreWbHZKnzLtkVGr5XizhPLuLculg8ZFU8RTUpYLGxS9rharW66ypSaSqU22pLW10nH838TfDLIfE3Ip5XmlNUMdQU6mU5tThF4nL8S1o07XqYao0lXoSbjOOqSmoyPwM8UeE/i9+yz8S4jK+peGPEejXMkmieIrASDTdastxXz7K4ZRb31jdRjFzZzK+zPl3EQdUav5Mx2A4i4DztczrYHGYao5YbGUr+wxNK/x05NKFWlUirTpy5raxnFaM/zJznJOOvBji6Dm8Xk2bYCrOeXZphlJYTMMPe3tcPVadLE4etGyrUJ8/L8FSCkkz9V/wBnb9vjwZ4/trLw38Vp7HwV4z/dW8erOTB4Y12U/IsiTsWXR7uViN1tdOLUu+IJwq7F/fODvFnLc3hTwWfSp5ZmXuwWIfu4HFy2upttYepJ2/dztBt+5NqNj+1fCr6TWQcUUsPlHGtTD8PcQe5Shjpfu8nzKb0U1UlzLAV5u16NaSouUv3dWNuU/Q2GaG5ijuLeWOeCZFlhmhkWWKWNwGSSORCUdHUhldSVYEEEjBr9fjKM4xnCUZwklKM4tSjKL1TjKN001qmnZ+dz+pqdSnWpwq0qkKtKpFTp1KcozpzhJXjKE4uUZRa1UotprVdCSqLPGfG3/JXvgh/3Ur/1GLSgD5b/AGyf2uPD/wAPvDGr/DvwFrMGp/EPXLSXT7y70yaK5t/CljcgxXctxcxs0aavJAZIrW1UPLbs/nzBCibfyDxI8QsJk+BxGT5TiYV84xVOVGpUoyjOGApT92pKc4yssRKN404LmcG+aSVk4/y14+eOWV8LZPj+FeGsfSxnFOZUJ4WvWwdSFalkmHq+5XnWqwk4LHTpuUKNFc86Tl7SpGNonwX+wt8D734ofFey8X6nZmXwb8PbuDWNSuLhC0F/rq5l0fS13ArNILhVv7pS2UggUnJlUN+UeFfC9XPc/pZlXpuWW5RUjia05q8auLXvYagv5pc69rO9rRhrfmSP5o+jd4dYjjLjbD59jKHPkHC1enj8XVqxvTxOZRvPAYON01OSqpYmt714U6cd+dc37/V/Wx/p4FABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moA5zxhosfiTwn4n8PyoJI9b8P6xpLIwyCNQ0+4tRwe4MoI9xntXHmOGjjcvx2Ekk44rCYig09v3tGcNd+r7feeTn2XxzbI84yucVKOY5Xj8C4vVP61hatH8HNP/hj+VGeK50bVJoSTHeaVfyRE9DHc2NwUJ7YKSxevUdsV/BM4zw2IlDVVMPWlHzU6U7fepRP8V6sK2AxlSm7wr4LFTg+8K2GquPk7xnDt06H9T3w68QR+K/APgvxLE4kXXPC2haoXHIMl5pttNKO/Kys6n3HbGK/vDJsWsflOWY2L5lisDha91rd1KMJS+6TaP9n+FM0jnfDHD+bwlzrMsmy3GOS6zr4SlOptfabkt/vOzr0j3woAKACgAoA8Z+Df/NVf+yzeOf8A3F0Ac1+1p4n/AOET/Z3+KWpLN5Nxc+HZdFtXBwftGuzw6UoU+uy7cjHp7V8b4gY7+z+Ds9rqXLOeClhqb/v4qccP59Kkn8ul7n5T44Zx/YfhXxljIzdOrWyqeX0GtG6uZVKeCSX/AG7Xm9L6Lpe5+SX/AATy8Mf29+0NY6pJF5lv4U8N67rLMRkR3M0UWk2h9N2/UHZeh+TI6AN/Pvg9gfrfGFKu480MvwWKxLf8s5xWHpv1vWdtfS+p/Dv0WMn/ALS8U8NjJU+elkmUZlmDbV1CrUhDA0H1s+bFSa9NLWbP34r+tD/TgKACgAoAKAPnT/hlP4Hf8LL/AOFr/wDCIJ/wlf8AaH9sbftl1/Y39sb/ADf7U/sff9j+2ef/AKRu2+T5/wC98nPyV8d/qFwv/bf+sH9nL+0PbfWf4tT6t9ZvzfWPq38P2vP7/wDJz+97M/Kv+IK+HP8Arf8A67/2DH+2/rX1631it/Z/1/m5/rv1Dn+r/WPafvb8ns/ae9yHS/8ANwv/AHRn/wB3evsT9VPZqACgAoAKACgAoAKACgDxn9oP/kkPi7/uAf8AqT6LQB7NQAUAFABQAUAFABQAUAFAHjP7Pn/JIfCP/cf/APUn1qgD2agAoAKACgAoAKACgAoA8Z8E/wDJXvjf/wB01/8AUYu6APZqACgAoAKACgAoAKACgDxn4yf80q/7LN4G/wDcpQB7NQAUAFABQAUAFABQAUAcZ8R/+SeePP8AsTPFH/pjvqAOc0bxZoHgb4M+GvFfifUYNL0PRPAHhy9v7ydgqpHFoVkRHGDzLPM22KCFMvLKyovXK8eYZhhMqwWIzDHVo0MLhacqtapLpGK2S+1OT92EVdyk0ut4+Tnmd5Zw5lOOzvOMVTweXZdh6mJxNeo0lGEFdRit51KjtCnBKUpzkopas/na+PXxg1j43/ErXfG+ptLFZzymy8P6Yzlo9K0G1d1sLVF+6sroTcXbgZkuppWJYBNv8UcWcR4nijOsVmddyjSlJ08HRb0oYWDtSppdJNe/UfWcm25aM/yM8TOPMf4i8W5lxFjHOFCpN4fK8I5NwwWW0ZNYajFbKco/va7SvKtObblpy/UH/BP/AOBdz4++I8fxK1e2YeFPh5cpcWrSx5i1TxQ8Zawto94ZZI9NVv7QucLhZBapuDPhfufCPhaebZys7xEP9gyecZ0+aPu18da9KEb3TVH+LPR68i0uj9j+jB4b1eJ+LI8XY+k1knCtaFai5wThjM5lFvC0Y82ko4RP61VaUlGaoq95cp+7df1Uf6TBQAUAFABQAUAeM+Cf+SvfG/8A7pr/AOoxd0AezUAFABQAUAFABQAUAFAHjPjb/kr3wQ/7qV/6jFpQB7NQAUAFABQAUAFABQAUAcZ8R/8Aknnjz/sTPFH/AKY76gA+HH/JPPAf/YmeF/8A0x2NAHZ0AFABQAUAFABQAUAFAH5NfEf/AJKH48/7HPxR/wCny+oA/9b+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoAKACgAoA4Px98TvAXwv0l9b8eeKNK8OWIVjEL64UXd2wBxFY2MZe8vJWK7VS3gkw3DEA15WbZ5lOR4d4nNcdh8HSSbj7WaVSo19mlSV6lSXS0Iy13cb3PmuJ+MOGeDcDLMeJc5wWU4ZJ8n1iqvb15K/uYbDQvXxE21ZRpQlZtXtc/Lz4y/8FJ724Nzo/wV0AWUOXi/4S7xPAst069BLpuhiUwwZB+WTUJJnUjP2UZ+X8L4k8aqk/aYbhnCezjrH+0cdFOb/vUcKpOMb7p1nN/3Fd8v8b8f/S3xFV1sv8PcsWHp+9D+3c4pqdeS2U8Jlybp07p3jPFSqSTSborY+DLTTfjp+0p4qLxReLfiNrs0mJLqZp7iw05XK7jJcStFpWk20akEopt02L8qNja35RTo8VcbY+8VmGc4qUrOpNynRoJ2vebtQw8EmtEoJLZan80UcJ4keLmdc0IZ5xZmVSVp1qjqVcNhIyau5VZcmDwVGCabinRjyrRO3u++/FT9ivVvgp8D9U+JPjjxFb3XioaloOnWfh3RR5um6YNTvo47mS+1KVA1/cxwxyRRx2scVsrTeZ503lKtfXZ94Z1+GeF6+dZpjIVMf7bC0aeDw2tGh7apacqtaSTqzUYtKMFyJyvzStHm/TeNPo+Y7w98OsZxbxHmtKtnX1zLMJQynL1z4TCLGYiMa08Ti5pPE1YwjKEI0YRpJz5+efLE9b/4JfKp8bfFMlQSnhfQWUkAlW/tS7Xcp/hO1mXIwdrMOhIb6DwMSeZ57dbYLDNeT9vJXXnZtdNH6qX3H0OEnxFxm2k2smy1q6vZ/Xayuuzs2rro2up+zVf0kf3+FABQAUAcF8Rfhl4I+K3hy58L+OtCtNb0u4VvLMqhLywnK4W8029UefZXcZwySwsMlQJFdNyN5Oc5Hlmf4OeBzXC08TQmny8ytUpSasqlGqvep1F0cXrs1JN8vzPFfB/DvG2VVsm4ky2jmGCqp8jnFRxGGqNaV8JiFarh68HZxnTavtJSjeJ+M/x2/wCCfvxC8Am9174ayS/EDwrGZZzp8MQTxVpluPm2yWK4j1WOFN2Z7E+cVTc1oGJNfzbxV4RZvlLq4vJJSzbAK8/YxSWPoQ3s6SssQoq/vUnzWV3Tu7x/gLxJ+i/xTww8TmfCUp8T5LFzq/VqcFHOsHSXvcs8NH3cbGEb/vcNao0ryopu582+Df2hPj18JI4tE8PeOPE2h2VlIxXQNUQXdjAwIVoxp2sQzi3UFcGKJI1ByMDJr4vLeMOLOH4xw2EzTHYWlSbthMQvaUoPZr2OIhLkStblXLbpbeX5LkHil4l8Dwhl+VcR5vl2Hw83bK8Yvb4ak0/egsJj6VVUldWcIQglsrWPYz/wUH/aV2FP+Eg8OA7dvmDwppe8cY3glSu8feyVIz1U9K+j/wCIvcbWt9bwW1r/AFDD39dt+u3y6H3z+lJ4ucvL/aWUJ8vLzrJMHzLS3Nrdc3XVWv3PG/F37RXx3+JuoWDa1468RX15afbotLt9FVNLktxqcUcF9FaRaJb2s5+1QRJDIuXZoxs+6X3+FjeOeMs4vRrZzj5xqO3sMJbDqTf2VHCxpykuij11Wmrl8Vm/jF4q8U3weK4szqrCu7fU8sawManNpyKlltKhUmuii5S+d7HqnwQ/Yq+Lnxfv7fU9d0698D+EXuVkv9c8R289tql7EzCSf+ydLuY1vLueVSwW6uI4rUSMHeWTBSvY4X8M+IeIq0K+LpVcry5zTrYvGQlCvVjvL6vQnF1Kk5LRVJqNNNptys4n1fh19HvjnjvE0sZmWFxHDmRSqqeJzLNaVSljMRBvmqLA4KtGFetVmm7VqqhQUneU5/Cful8MPhf4P+EPhGw8GeCtNXT9Ksv3k0jnzLzUb2RUW41HULggNPd3BQF2OFUBUjVUUCv6nyPI8u4ey+lluWUVRoU/ek3rUrVWkp1qsvtVJ2V3ey2Vkj/SDg7g7IeBcjw2QcPYRYXBYf36km+avi8RKMVVxWKq71a9XlTlLZJKMYxjFI9Cr1z6kKACgAoAKACgDxn9oP8A5JD4u/7gH/qT6LQB7NQAUAfzSftUfD+b4b/Hj4haC0bJZ3mtT+I9JYgAS6Z4hdtTgK4wuIpZ57b5RgNAw4INfxPx5lEsl4rzfCWapVMTPGYdvrQxj9vG3T3XOUNL2cbXdmz/ACJ8aOGKnCXiVxTlji44fEZhUzXAyatz4PNH9cptW09ydSpR060n3P1v/wCCfPxI/wCE0+BsHhq7n83Vfh3qU2gOrH5/7Hut1/or8ksUSKS4tFbgAWoUdMV/QnhDnX9p8LQwVSfNiMnrywjT3+rz/e4Z92kpTpr/AK9qx/cn0XOLf9YPDinlFepz43hXFzyySb1+o1r4nL5d2owlVoJ2t+4tqfdlfqh/SQUAFABQAUAeM/Bv/mqv/ZZvHP8A7i6APlj/AIKTeI/7L+CGi6ApIfxP4106NgD9630i0vNRkB7kecLYnqMgA9QV/H/GnG+w4Xw2EW+OzOiv+3MPTqVpf+Tcn+ataX8sfS2zb6n4dZflidpZxxBhYvXelgaFfFT9V7T2N99bd04+M/8ABL3w1mT4reMGX7qeH/DcDkf32u9TulU9P4LQvgf3M4ytfN+BeC1z/MWumEwUXbv7SvNJ79Kd9O21j4D6G+Ue9xrnslssrymnL1eIxlZL7qDfyvuj9c6/oQ/uYKACgAoAKACgDxn/AJuF/wC6M/8Au70AezUAFABQAUAFABQAUAFAHjP7Qf8AySHxd/3AP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef8AuP8A/qT61QB7NQAUAFABQAUAFABQAUAeM+Cf+SvfG/8A7pr/AOoxd0AezUAFABQAUAFABQAUAFAHjPxk/wCaVf8AZZvA3/uUoA9moAKACgAoAKACgAoAKAOE+KN3bWPw0+IN3eXEVraweCvFDzTzyLHFGv8AYl6AWdyAMsQqjqzEKoLMobKvXo4ajUxGIqwo0KMJVKtWpJQhThFXlKUnZJJLr+OxzYzGYXL8LiMdjsRSwmDwtKdfE4mvUjSo0aNOLlOpUqSsoxile79Fdux+DP7SX7Tmo/FnSfCPw98PSXNj4B8G6HoVjLCWMb+Itd03TLa0uNTu0U/NZ20sbx6ZA+Aq5uigllBX+T/Ejj2XE+L/ALOy6c4ZJhKl4/ZeOrxuvrE1u6cdqEJWsvf+J3l/md4+eNVXxEzJZHkVWrS4Qyus3T3pyzjGQbj9erx1bw8NsHSm9Fes4qcos+fvhl8N/E/xY8Z6P4H8JWbXeq6vOEaQq32bT7NCDd6lfSAEQ2dnETJLIxUH5Y1y7oK+DyPJcdxBmeGyvL6bqV8ROzb+CjSVvaVqr+zTpx96T0volq0pfi/B/CWccb8QYDhzI6Dr43HVVFzafssLh4v9/i8RLRQoUINznJvXSCtKSP6V/hB8MNC+D3w+8PeAtARTb6Raj7bebAkuqarPiTUdTnwATLd3BZlyPkhWKIZCCv7W4dyPC8OZRg8pwiThh6a9pUtaVfES1rV5/wB6pPXyjyroj/XPgXg7LeA+F8r4ZyyK9lgKC+sV+VKeMxtS0sXjKtkrzrVbtae7BQhrynpde2fXhQAUAFABQAUAeM+Cf+SvfG//ALpr/wCoxd0AezUAFABQAUAFABQAUAFAHjPjb/kr3wQ/7qV/6jFpQB7NQAUAFABQAUAFABQAUAcZ8R/+SeePP+xM8Uf+mO+oAPhx/wAk88B/9iZ4X/8ATHY0AdnQAUAFABQAUAFABQAUAfk18R/+Sh+PP+xz8Uf+ny+oA//X/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgDkvGfjzwd8PNHm1/xr4i0vw5pUAJa61O6SHzWH/LO2hy091McgLDbQzSsTwh42+fmWa5dk+Gli8zxlDB4eKbdSvUUOZr7MI2cqkv7sE35PY8PP+Jch4WwFTM+IM1weU4Kmm3WxdaNPna+xRp61a1R9KdKE5vpHU/Lf42/8FIpHF5oXwR0Yxqd8J8Z+IrcGQjoZdJ0Qvhc5Plz6kSRw32ME/L+FcT+NDftMLwxhrbx/tLGQ1t/Nh8Nd2vraVZu2j9mrrl/jTxD+lpKXt8t8O8v5F71P/WDNaacmtnPA5c9Ff7FXFuTTtL2B8C6H4U+OH7S/i2a4srbxL4+125l/03WtQlmfTtOWRlBN1qNwyafptumVYQRtENo/dQnGK/JcLl/FHG2YSnShjc2xU5L2uJrSm6NFP/n5Wm40qMFf4Y8vlTd7R/mTLsl8RvF7PZ1cPSzfifMq0/8AaMwxVScsLhIzav7bFVbYXB0Y3TVODgktIU3ofpd8Gf8Agm94X0X7JrHxi1pvFGor5c3/AAjGiSS2egwONreVe3+I77UtrZV0hFnA44/eLnd+2cN+DGBw3s8TxHiXjqytL6jhnKnhItWfLUq2jVra/EoulB7e8mf13wB9EzJ8u9hmHHmYPOcVHlqf2Nl8p0MtpyVnyYjE+7iMXZ+7KNNUacl/Mn7v6R+G/C3hzwfpcGi+FtD0vw/pNsqpDYaTZQWVuoUYBKQInmPjrLJukbqxJJC/tGCwOCy6hDC4DC0MJh6aSjSw9OFKCtpqorV/3pOUn1ercv60ynJspyHB0suybLsHleCoxUaeGwOHp4ekklZNxpxXNKy1nNzm+sne58a/8FEriOH9nDUImYK914v8LQxKerslzcXDBfUhIWY+wr838YpqHBlaLaTqZjgYxT6vnnJ232jFv/Lc/AvpU1Iw8JsVCTSlWz3JoQT3k41atV281Gm3tt20PlP/AIJeROfF/wAWJ9p8tPDfhyIv2Dy6pfOqn0JELEeoU46GvgvAuL/tDP52dlg8JG/S7rVHa/dqP4H4r9DenJ57xtVs+VZTldO/TmljMRK3q1Bv5H7KV/SB/fQUAFABQAUAFAHI+IvAPgfxdFJD4n8IeG9fjlBD/wBraLp967A9cSz27yqTknKvnPPUA15+MynK8wi447LsFi09/rGGo1X8pTpuS+T+/Xm8PNeGOHM8hKnnGRZTmcZ6S+vZfhcRJ37TqUpTi/NSv6WPNR+y9+z0CCPhB4GyCCP+JLCeR7HIP4jHrmvF/wBR+Ef+ieyv/wAJov8AB6P5nyK8HfC1a/6icN6f9S2j/wDJv8vvMbVvAngrwn8WPgjb+GPCXhzQIj/wsbcukaNp9gX8nwzamIyPbW8TyGIsxjZ2YoWJGM17OEyjKsAorBZbgcLy/C6GFo0pL/t6EFL/AMmfr0PrMs4W4ayZQWU8P5Nlrh8EsFluDw8420VqlOlGey/m+8+ka9E94KACgAoAKACgAoAKAPGf2g/+SQ+Lv+4B/wCpPotAHs1ABQB+Tf8AwU1+G3m2Xgb4q2UHzWks3hDXZET/AJY3HmX+jTTOMfclS+tlJ3f62NRt/i/APG/JeallWfUoa05Sy/FyS+zO9XDSk9dpKrC+nxRVnoz+I/pgcJc+H4b40w9J3oTqZFmU4x09nV5sTgKlR76VFiaSb/nirO94/Mf7BvxjsPhd8Xzo+v3gsvDnxAs4vD9xcSnFvaa0lysmh3M7M6rFE8zz2Uk2G2fakLYQFl+G8KOI6WRcRfVsXU9lgs3pxwk5y+CniVNSws5XaUYuUpUpS6c6vprH8d+jTx7heDeO3gMzxH1fKeKMPDK6tWbtSo5hGqp5dWqNtRhCVSVTDyqWdvbq+iP6AK/rg/0+CgAoAKACgDxn4N/81V/7LN45/wDcXQB+en/BUXVpM/CPQw37ojxTqzJ6yD+ybONiOvCmQDjuelfz346YiX/GPYW/u/7diGv73+z00/kub7z+Gvpk42d+Bsu5v3ds5xrj3mvqVCMvlFyW3Xoezf8ABNjSI7L4F6zqqriXWvHWqtI2PvJp9hplpGM9wp8z6bvevpfBbDxpcK4jEJe9ic1xDk+6o0qNOPRba9X8tT9A+iRgI4fw3x+NStPMOJMa5PvHC4bCUIfc+f8Apn6F1+vn9ShQAUAFABQAUAeM/wDNwv8A3Rn/AN3egD2agAoAKACgAoAKACgAoA8Z/aD/AOSQ+Lv+4B/6k+i0AezUAFABQAUAFABQAUAFABQB4z+z5/ySHwj/ANx//wBSfWqAPZqACgAoAKACgAoAKACgDxnwT/yV743/APdNf/UYu6APZqACgAoAKACgAoAKACgDxn4yf80q/wCyzeBv/cpQB7NQAUAFABQAUAFABQBgeJ/FPh7wXoeoeJfFOrWWiaHpcDXF7qN/MsEESKCdoLcySvjbFDGryyvhY0ZjiuTHY7CZbha2Nx2Ip4XC0IudWtVkowil+Lk9oxinKT0imzzM4znK+H8txWb5zjsPl2XYOnKriMViaip06cYq9rvWU5WtCnBSnOWkYybSPwo/az/bD1X423cvg/wY97ovwzs5zuR2Nvf+Kp4m+S81NFJMNipAe100s2OJLkmXCr/K3iB4jV+J6ksuyx1cLklOWqfuVsfKL0qV0pLlpLenR17ySeh/m343+PON8RK88h4feIy/hDD1HeMm6eJzqpCT5cRjIx1p4ZfFRwjb/mq3mrHxr4W8La/401/TPDHhjTLrWNc1i6jtLCwtIzJLLLIwGTgERxRjLyyvtjijVndgoJr82wGAxeZ4uhgcDQqYnFYioqdKlTV5Sk/yit5Sdklq2krn4FkuS5nxDmeDyfJ8HWx+ZY+tGhhsNQi5TnObtd2uoQgnzTqS92EU5OyVz+hD9lP9mbSf2ffCTPf/AGXUviD4giik8TazEoZLVB88Wh6bKwDfYrNiTNKAgu7ndNgosYr+vuAuCMPwjl7dXkr5vi4xljcRHWNNbxwtBtXVKm/il/y8n73vJRcf9R/BXwgwXhfkblifY4vijNIQnm+PguaNGK96GXYSbV/q9B/HNW9vW5qmkVBS+sK+/P20KACgAoAKACgAoA8Z8E/8le+N/wD3TX/1GLugD2agAoAKACgAoAKACgAoA8Z8bf8AJXvgh/3Ur/1GLSgD2agAoAKACgAoAKACgAoA4z4j/wDJPPHn/YmeKP8A0x31AB8OP+SeeA/+xM8L/wDpjsaAOzoAKACgAoAKACgAoAKAPya+I/8AyUPx5/2Ofij/ANPl9QB//9D+5L/hnz4Q/wDQo/8Alf8AE/8A8uaAD/hnz4Q/9Cj/AOV/xP8A/LmgA/4Z8+EP/Qo/+V/xP/8ALmgA/wCGfPhD/wBCj/5X/E//AMuaAD/hnz4Q/wDQo/8Alf8AE/8A8uaAPM/+FO/Dj/hcn/CKf8I7/wASD/hWf/CQ/YP7X13/AJDH/CU/2b9r+1f2n9t/48v3P2f7R9l/5aeT5vz0Aemf8M+fCH/oUf8Ayv8Aif8A+XNAB/wz58If+hR/8r/if/5c0AH/AAz58If+hR/8r/if/wCXNAB/wz58If8AoUf/ACv+J/8A5c0AH/DPnwh/6FH/AMr/AIn/APlzQAf8M+fCH/oUf/K/4n/+XNAB/wAM+fCH/oUf/K/4n/8AlzQAf8M+fCH/AKFH/wAr/if/AOXNAHmfxi+Dvw48K/DjxFr2g+HfsGrWH9kfZLv+19duvK+1a7pdnP8AuLzU7i2ffbXE0f7yF9u/em2RUdQD0z/hnz4Q/wDQo/8Alf8AE/8A8uaAD/hnz4Q/9Cj/AOV/xP8A/LmgA/4Z8+EP/Qo/+V/xP/8ALmgA/wCGfPhD/wBCj/5X/E//AMuaAD/hnz4Q/wDQo/8Alf8AE/8A8uaAD/hnz4Q/9Cj/AOV/xP8A/LmgA/4Z8+EP/Qo/+V/xP/8ALmgA/wCGfPhD/wBCj/5X/E//AMuaAD/hnz4Q/wDQo/8Alf8AE/8A8uaAPM/g78Hfhx4q+HHh3Xte8O/b9Wv/AO1/td3/AGvrtr5v2XXdUs4P3FnqdvbJstreGP8Adwpu2b33SM7sAemf8M+fCH/oUf8Ayv8Aif8A+XNAH8R3/B6p8OPBngb4G/sL3HhbRv7Ll1D4sfFyG7f+0dVvfOjh8IeF3iXbqN9drHtZ2OYlRjnDMQAKAPX/APgzK+GPgfxv+w1+05qHijRP7Tu7X9p1bWCb+0tXsvLt/wDhWnhGXy/L0+/tYm/eOzb3Rn5xu2gCgD+xL/hnz4Q/9Cj/AOV/xP8A/LmgA/4Z8+EP/Qo/+V/xP/8ALmgA/wCGfPhD/wBCj/5X/E//AMuaAD/hnz4Q/wDQo/8Alf8AE/8A8uaAD/hnz4Q/9Cj/AOV/xP8A/LmgDzPwt8HfhxqPxH+Keg3nh3ztJ8Of8IP/AGLaf2vrsf2P+2NCuLzUf38Wppc3H2i5jWT/AEuafysbIPKjJSgD0z/hnz4Q/wDQo/8Alf8AE/8A8uaAD/hnz4Q/9Cj/AOV/xP8A/LmgA/4Z8+EP/Qo/+V/xP/8ALmgA/wCGfPhD/wBCj/5X/E//AMuaAD/hnz4Q/wDQo/8Alf8AE/8A8uaAD/hnz4Q/9Cj/AOV/xP8A/LmgA/4Z8+EP/Qo/+V/xP/8ALmgA/wCGfPhD/wBCj/5X/E//AMuaAPM/iX8Hfhx4f/4V/wD2R4d+yf238TfCvh7VP+Jvrs/2nR9S+3/bbT/SdTm8nzvIi/0i38q6j2/uZk3PuAPTP+GfPhD/ANCj/wCV/wAT/wDy5oAP+GfPhD/0KP8A5X/E/wD8uaAD/hnz4Q/9Cj/5X/E//wAuaAD/AIZ8+EP/AEKP/lf8T/8Ay5oAP+GfPhD/ANCj/wCV/wAT/wDy5oAP+GfPhD/0KP8A5X/E/wD8uaAD/hnz4Q/9Cj/5X/E//wAuaAD/AIZ8+EP/AEKP/lf8T/8Ay5oA5nxr8DfhbpHg3xbqun+F/s9/pnhnXtQsZ/7b8RS+ReWWlXVzbTeVPq0kMnlzRI/lzRyRPt2yIyFlYAPBXwN+Fur+DfCWq6h4X+0X+p+GdB1C+n/tvxFF595e6Va3NzN5UGrRwx+ZNK7+XDHHEm7bGioFVQBvi74Zfs6eAtHn1/xlY6V4c0i2VmkvdU8VeIrZGKjPlwI2tiW5mPG2C3SWZv4Yzg1w5hmeX5Th5YvMsZQweHgtalepGCflFPWcu0YRlJ9E7NS8bPOIcj4ZwNTM8/zTBZTgaSblXxteFGMrK7jTjJ89Wp2p0ozm+kesfzF+NP7UXwVtvtWi/BP4bfbZhviPjHxJq/imO1U9PN0vRDriyz4IbZLqDRowIb7KwADfh3E3jTTh7TC8MYX2stY/2ljYNU105qGFvGUtVdSrOKad/ZrY/j3xB+lrh6Xtsu8PMueIqe9D+382pOFGL258Fl11OpZ3cZ4qVOLTT9i9j448PeFfil8b/EYsfDuka74x1eaT5xbRyyWWnxsc7p7h9tjp1tGrZ3TSRDYM/OQd348o8U8b5jf/AG/OMXOW75pUaEX91DD04p9FBJd38P8AKyj4j+L2e3SzrivNKs9ZPnnhcHCT2bfJgsBQitf+XMeWOilax+nHwU/4Ju6TYpa618bdXOr3RCS/8Id4euprfToTjJi1PWoxFd3bAjDR6d9ljwSBcvya/ZuGPBjD0fZYribEfWanuy/s3CScaEXvy18RZSq2eko0uWLX2nrE/rHw7+iZgsJ9XzLxCx6x9dctT+wMsqShg4SVnyY3HWjVxFmrSp4eNOlJNr2sldn3Jp/7NXwR0m1jstM8C29jaRALHBba14kijUD2XWeT6sxLHvnk1+34LAYPLcPDC4DDUcJh6atClQpxpwSXVqOrfeUm5Pdtn9gZTk2U5DgqOW5Ll2EyzA0IqNLC4KhChSikrXcYJc039qc3Oct5Tk9S7/wz58If+hR/8r/if/5c11nph/wz58If+hR/8r/if/5c0Afnf/wUQ8FeAvAHgfwFY+F9FXTNT13xNeyzv/amsXrtp+l6ad48nUNQuoVBub23/eCMONu0MAWDfiPjhi1TyXKMGn72JzGpWcb/AGcPQau125qy+fyP4/8AphZmqHCfC+VKS58fntbFShfX2WAwc481uq9pi4rXZ+phf8E5vhj4R8c6X8VNQ8WaOdU+w33hS100/btTsfJE0GvS3hDadeWZmEhithiUyiMxny9u965/A3C8uW55jHHWtjMNh4y7xoUZzkvk6y6fecf0Ocu9nkPGOayg19azXAYGnO3xRwmFqVppPraWLj10fe5+lv8Awz58If8AoUf/ACv+J/8A5c1+7H9mB/wz58If+hR/8r/if/5c0AH/AAz58If+hR/8r/if/wCXNAB/wz58If8AoUf/ACv+J/8A5c0AH/DPnwh/6FH/AMr/AIn/APlzQAf8M+fCH/oUf/K/4n/+XNAB/wAM+fCH/oUf/K/4n/8AlzQAf8M+fCH/AKFH/wAr/if/AOXNAHmfin4O/DjTviP8LNBs/Dvk6T4j/wCE4/tq0/tfXZPtn9j6Fb3mnfv5dTe5t/s9zI0n+iTQebnZP5sYCUAemf8ADPnwh/6FH/yv+J//AJc0AH/DPnwh/wChR/8AK/4n/wDlzQAf8M+fCH/oUf8Ayv8Aif8A+XNAB/wz58If+hR/8r/if/5c0AH/AAz58If+hR/8r/if/wCXNAB/wz58If8AoUf/ACv+J/8A5c0AH/DPnwh/6FH/AMr/AIn/APlzQAf8M+fCH/oUf/K/4n/+XNAHmfxi+Dvw48K/DjxFr2g+HfsGrWH9kfZLv+19duvK+1a7pdnP+4vNTuLZ99tcTR/vIX2796bZFR1APTP+GfPhD/0KP/lf8T//AC5oAP8Ahnz4Q/8AQo/+V/xP/wDLmgDmvF/7LHwa8XeG9X8PT+GHs/7Ss5obe/i1rX5ptPuyhNrfwRXOqT27y2k4SVUliZH2lGBDEV5OeZPhM+yvF5VjYc1DFUnDmsualUWtKtDtOlNKUX5W2bPmeMOFcs414czThvN6anhMyw8qXOknUw1de9h8XRb+Gth6qjUg04t8rje0pH89PxO+HfiH4T+Otf8AA3iSFodT0K9eJJwrJFfWbHfY6laN/Fb3luUmjdCwVmaMnejCv4kzzJ8Zw/muLyvGRcK+EqtRmk4qrTvejXpvdwqRtKMl6dGf5C8YcK5rwPxLmXDmawlSxuWYlxhVjeMcRQb58NjKEtL069PlqQlFvld4814yZ+r37FN/8IvjV4Jk8O+KtAhk+IvhFI4dRLa74gt5Ne0hjts9ahgg1eKLzI8C0v0ghjSOVY5QgWbNf1B4X8YriLKVl+Nqp5vlkIU6nNL38VhUuWliV/NKK/d1tF7yUtef3f8ARP6OvirHjvhiOSZtiYy4n4do0sPX9pJe1zLLorkw2PjeznUgoqhira+0jGo7+0ufbv8Awz58If8AoUf/ACv+J/8A5c1+on9Gh/wz58If+hR/8r/if/5c0AH/AAz58If+hR/8r/if/wCXNAB/wz58If8AoUf/ACv+J/8A5c0AeZ/DT4O/DjxB/wALA/tfw79r/sT4m+KvD2l/8TfXYPs2j6b9g+xWn+janD53k+fL/pFx5t1Ju/fTPtTaAeFftVfsRXPxDj8M6p8HIdK0rUNIW8stU0bWNX1MQX0F3JFLFe299qEmpmKa2MbxyQYiSWN0YbnWvybxN4FzLi15bisqrUFiMDGtQnh8RN0oVKdaUZqpCpyTSnCUWpRktY25WndS/mX6Qvg1xB4mvIMy4bxWCWOyelisHWwOPrSw1Kth8VUpVVXpV1TqxjUpypuM4TS5oOPLqmexfAr9kXwZ8Pvhvovh7xxp9v4j8VLJd32sahZ6rrtpZrc3sxkFnapaX9lHJDZxBIRObaN5mV3ORtNfWcEcO1eF+HsLlVetCtiIzrYjETpX9mqtefM4U21GTjBKMeZpXabWjR+meEHAmI8OeBst4axuKpYvHU62Lx2Oq0E/YRxONq+0nRoylGMpwoxUKanKKcnFtXTTPX/+GfPhD/0KP/lf8T//AC5r60/Tg/4Z8+EP/Qo/+V/xP/8ALmgA/wCGfPhD/wBCj/5X/E//AMuaAD/hnz4Q/wDQo/8Alf8AE/8A8uaAD/hnz4Q/9Cj/AOV/xP8A/LmgA/4Z8+EP/Qo/+V/xP/8ALmgDzP8A4U78OP8Ahcn/AAin/CO/8SD/AIVn/wAJD9g/tfXf+Qx/wlP9m/a/tX9p/bf+PL9z9n+0fZf+Wnk+b89AHpn/AAz58If+hR/8r/if/wCXNAB/wz58If8AoUf/ACv+J/8A5c0AH/DPnwh/6FH/AMr/AIn/APlzQAf8M+fCH/oUf/K/4n/+XNAB/wAM+fCH/oUf/K/4n/8AlzQAf8M+fCH/AKFH/wAr/if/AOXNAB/wz58If+hR/wDK/wCJ/wD5c0AH/DPnwh/6FH/yv+J//lzQB5n8Yvg78OPCvw48Ra9oPh37Bq1h/ZH2S7/tfXbryvtWu6XZz/uLzU7i2ffbXE0f7yF9u/em2RUdQD0z/hnz4Q/9Cj/5X/E//wAuaAD/AIZ8+EP/AEKP/lf8T/8Ay5oAP+GfPhD/ANCj/wCV/wAT/wDy5oAP+GfPhD/0KP8A5X/E/wD8uaAD/hnz4Q/9Cj/5X/E//wAuaAD/AIZ8+EP/AEKP/lf8T/8Ay5oAP+GfPhD/ANCj/wCV/wAT/wDy5oAP+GfPhD/0KP8A5X/E/wD8uaAD/hnz4Q/9Cj/5X/E//wAuaAPM/g78Hfhx4q+HHh3Xte8O/b9Wv/7X+13f9r67a+b9l13VLOD9xZ6nb2ybLa3hj/dwpu2b33SM7sAemf8ADPnwh/6FH/yv+J//AJc0AH/DPnwh/wChR/8AK/4n/wDlzQAf8M+fCH/oUf8Ayv8Aif8A+XNAB/wz58If+hR/8r/if/5c0AH/AAz58If+hR/8r/if/wCXNAB/wz58If8AoUf/ACv+J/8A5c0AH/DPnwh/6FH/AMr/AIn/APlzQAf8M+fCH/oUf/K/4n/+XNAHmfhb4O/DjUfiP8U9BvPDvnaT4c/4Qf8AsW0/tfXY/sf9saFcXmo/v4tTS5uPtFzGsn+lzT+VjZB5UZKUAemf8M+fCH/oUf8Ayv8Aif8A+XNAB/wz58If+hR/8r/if/5c0AH/AAz58If+hR/8r/if/wCXNAB/wz58If8AoUf/ACv+J/8A5c0AH/DPnwh/6FH/AMr/AIn/APlzQAf8M+fCH/oUf/K/4n/+XNAB/wAM+fCH/oUf/K/4n/8AlzQAf8M+fCH/AKFH/wAr/if/AOXNAHmfxL+Dvw48P/8ACv8A+yPDv2T+2/ib4V8Pap/xN9dn+06PqX2/7baf6Tqc3k+d5EX+kW/lXUe39zMm59wB6Z/wz58If+hR/wDK/wCJ/wD5c0AH/DPnwh/6FH/yv+J//lzQAf8ADPnwh/6FH/yv+J//AJc0AH/DPnwh/wChR/8AK/4n/wDlzQAf8M+fCH/oUf8Ayv8Aif8A+XNAB/wz58If+hR/8r/if/5c0AeTfGDRf2Zvgj4Yn8S+NdFS3ysiaVo8HiDxJJq+t3gXKWmn2v8AbgZ8tjzrhwtvbJmSWQYCt8/xFxNlXDGBljczrqF01Qw8GniMVUS0p0ae7/vTfuQWstuWXxHHfiDw14d5PUzfiHGRpXUo4LAUnGWOzGuk3GhhaLabu/4lWX7qlH3ptWUZ/ht8WfijN8SfEFzd2GkReFvDMczf2R4atL7Ub6K1hBwk15dahdXU13fSKA00m5IUY7IIlUZb+S+L+N814uxTliJPD5fSm3hcvpyfsqa6Tqu69tWas3OSajtCySP8x/FHxf4l8T8xc8fVlgcjw9STy3IqFSX1ahHpWxL0+tYySSc6s04w+CkoxinLivC/hHxH401I6T4Z0m71a9jtbq/uEtYmdLSwsYJLm8vruX/V21pbQRPLLPKyIAu0bnKI3zuVZTmGd42jl+WYapisTWklGEF7sI/aqVZ/DTpwWs5ydkukm1y/C8NcMZ5xdm+FyPh/AVswzDFTUYUqUXyUoX9+viKvwUKFNe9Uq1GoxW3NJqEv3I/Zr/Y0+GPhLwBoWveKtPPirxh4n0jTtZvdTa+1Wwg0231KzhvItJ02LT7+0HlQJMq3F1Mry3MqkjZEFRv614F4CwXCOF9tV5MVnOIglicXy+7Ri9Xh8NdXjTT+Ofuyqta+6kj/AE38GvBbKfDDLvrWJ9jmXFeNpJZhmnJeGFpyV3gcu5vep0YvSrW92piJb2pqMJfR/wDwz58If+hR/wDK/wCJ/wD5c1+gn7kH/DPnwh/6FH/yv+J//lzQAf8ADPnwh/6FH/yv+J//AJc0AH/DPnwh/wChR/8AK/4n/wDlzQAf8M+fCH/oUf8Ayv8Aif8A+XNAB/wz58If+hR/8r/if/5c0AH/AAz58If+hR/8r/if/wCXNAB/wz58If8AoUf/ACv+J/8A5c0AeZ+Fvg78ONR+I/xT0G88O+dpPhz/AIQf+xbT+19dj+x/2xoVxeaj+/i1NLm4+0XMayf6XNP5WNkHlRkpQB6Z/wAM+fCH/oUf/K/4n/8AlzQAf8M+fCH/AKFH/wAr/if/AOXNAB/wz58If+hR/wDK/wCJ/wD5c0AH/DPnwh/6FH/yv+J//lzQAf8ADPnwh/6FH/yv+J//AJc0AH/DPnwh/wChR/8AK/4n/wDlzQAf8M+fCH/oUf8Ayv8Aif8A+XNAB/wz58If+hR/8r/if/5c0AeZ+Kfg78ONO+I/ws0Gz8O+TpPiP/hOP7atP7X12T7Z/Y+hW95p37+XU3ubf7PcyNJ/ok0Hm52T+bGAlAHpn/DPnwh/6FH/AMr/AIn/APlzQAf8M+fCH/oUf/K/4n/+XNAB/wAM+fCH/oUf/K/4n/8AlzQAf8M+fCH/AKFH/wAr/if/AOXNAB/wz58If+hR/wDK/wCJ/wD5c0AH/DPnwh/6FH/yv+J//lzQAf8ADPnwh/6FH/yv+J//AJc0AH/DPnwh/wChR/8AK/4n/wDlzQBzPjX4G/C3SPBvi3VdP8L/AGe/0zwzr2oWM/8AbfiKXyLyy0q6ubabyp9Wkhk8uaJH8uaOSJ9u2RGQsrAB4K+Bvwt1fwb4S1XUPC/2i/1PwzoOoX0/9t+IovPvL3SrW5uZvKg1aOGPzJpXfy4Y44k3bY0VAqqAdN/wz58If+hR/wDK/wCJ/wD5c0AH/DPnwh/6FH/yv+J//lzQAf8ADPnwh/6FH/yv+J//AJc0AH/DPnwh/wChR/8AK/4n/wDlzQAf8M+fCH/oUf8Ayv8Aif8A+XNAB/wz58If+hR/8r/if/5c0AH/AAz58If+hR/8r/if/wCXNAB/wz58If8AoUf/ACv+J/8A5c0Afnn410+z0jxl4t0rT4fs9hpnibXtPsYPMll8izstVura2h82d5JpPLhiRPMmkklfbukdnLMwB//R/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoAKACgAoA4j4mTRQfDjx/NPLHDFH4L8UM8srrHGg/sS+GWdyqqMkDJI5wO4qKlSFKEqlWcadOEXKc5yUYQitXKUpOKSS3baSM61ajh6VSviKtOhQowlUq1q0406VOnFXlOpUm4xhGK1cpNJLV7I/Nj4jf8FANE8C+CPC/gv4S2kHiPxVp/hTQNO1LxFqET/wDCP6Ne22j2kFxDaW++OTWLu3mQxsxMdikiOu65wa/FeL/F/BZe6mB4bjTzDFpuE8fUTeCoSW/sopp4qafW0aSd9ZWP5G8UfpS5TkcsRk/ANOhneaQcqVbOq8ZSynCTV01hoXjLMKkXa0044ZNNXrWXN+dNzffG79pbxiqSv4n+IniO5k/dW8SyzWWmxOxx5cKCPTNHs41JG8rbxhBh3ZhlfwypV4o43zK0njs4xk37sIqUqNCLfSKtQw9OK6tQVlre1j+N62J8RfF3PkpyznirNqsvcpQU6mHwcJP7NOPLg8Bh4rTmtSjyxSbbXvfol8E/+Cblpbi01z426ybyf5JR4N8O3BS1Q9RFquthVknIIHmQ6escbAlftTYy37Dwz4L04ezxXE+J9pPSX9m4Odqa/u4jEqKc9tY0eVO9vaOx/VXh59EuhSVDMvETMPrFT3aiyDKqjjRi9+TG5grTqNNJSp4WMItNr2stz9O/CXgrwn4D0iDQfB3h7SvDmkW6qsdlpVpFbRsV4EkzooluZuTma4eWVs8ueN37jl+WZflOGhhMtwdDB4eCSVLD04007dZ2u5y7ynKUn1ex/YWR8PZHw1gaeW5BleCynA0klHD4KhCjF2+1Ukrzqz11qVZTm+rWqOnruPZCgAoAKAPw+/4KWeMF1f4t+F/CMLkx+EfCiT3Kg5UX/iC6e6bI6BxZW1lnvhx61/L3jZmKxHEOBy+L0y/AKU1fT2uLn7R+j9lCl069D/On6XWfLHcc5PkVOTcMiyWNSqk/dWJzSs67uuklh6OH87S8z6m/4JzaFLoPgTxWk6FJtUTwjrZyMEw6pDr9zaE59bRoWHHIYHnNfrXhTl7wHBeXSkrTx9TEY993GtU5KV/+4VKLXrolvL+m/o1ZI8m8JsjqVI8tXOa+OzibtZuGJrypYe+1/wDZ8PTa8pJ63ufo3X6OfvYUAFABQAUAFABQAUAeM+Nv+SvfBD/upX/qMWlAHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgD4Q/be/Zpf4x+Eo/GfhKzR/iD4OtZmS3jQCbxHoS7prjStwA8y+tW3XGm7uXJmtQ6+bGK/KvE/gl8SZfHMsvpp5vl1OTUErSxmFV5ToX929WD9+jd66wTXNyy/mv6RXhFLj3I4cQZHQjLijIaNSUaUIpVM2y1KVSrgr6c+IoyTq4Tmd5XqUU1zw5fxH8AeO/FXwo8aaV4w8M3U2l6/oF4SY5FeNZkV9l7pmo27bTJbXKq1vd20o/BZEVl/mHKM1x+QZnh8xwNSVDF4Srdxd0pJO1ShWg7c0Jq8Jwkvkmvd/zu4Y4kzrgniDBZ7k9apgszyvEXcJKUFUjGXLiMHiqT1lRqpOlXozX3SinH+j74D/G3w18d/Adj4v0F0t71Alp4i0RpA11omsKgM9rKuSzW8vMtlcEbbi3YEEur1/Z3CnE+C4qymlmOEahVVqeMwrd54XEpe9TkrtuEvipT2lC2rakf6yeGviHlHiVw1hs+yyUaWISjQzXLnO9bLceop1aE1o3Sn/Ew9W3LUpNNNyUz2mvpT9BCgAoA8Z+Df8AzVX/ALLN45/9xdAHs1ABQAUAFABQAUAFABQB4z/zcL/3Rn/3d6APZqACgAoAKACgAoAKACgDxn9oP/kkPi7/ALgH/qT6LQB7NQAUAFABQAUAFABQAUAFAHjP7Pn/ACSHwj/3H/8A1J9aoA9moAKACgAoAKACgAoAKAPGfBP/ACV743/901/9Ri7oA9moAKACgAoAKACgAoAKAPGfjJ/zSr/ss3gb/wBylAHs1ABQAUAFABQBl65qLaRousaskJuW0vS9Q1Fbdc7p2srSW5EIxzmUxBBjnLcdqwxVZ4fDYnEKLm6FCtWUFvN0qcp8q21ly2Wv3HHmOKeBy/H42NN1Xg8HisUqUd6rw9CpVVNW1vNw5Vbqz+Xj4o/FHxh8XPF2o+LvGeqXOoX91NKLW2kdhaaTZGQmHTtPtuIra2gXam2NVMhXfIWfmv4Yz7Pcy4hzGtmGZV51atScvZ02/wB3h6XM+WjRhpGEIJ2skrtXd2f438Z8ZZ9x1nuLz3iDGVcVia1SoqFGUmqGBw7m3TwmFoq0KNKlG0bRinNx5puUvh6v4G/AHx58evEq6J4UsjBplq8Z13xLeRyLpGi2zHJaaYD/AEi7ZMmCxg3TynaSFQ717uFuEs24rxqw2ApONCEl9ax1RNYfCw6uUre/Ua+ClH35P+Vay9nw58MeJfEvN45dkmHdPB0ZweZZviIyWBy6k93Umre1ruOtLDU26k3a/LB8x+5nhP4A+A/gL8GPHWi+FLIT6pdeCPEh13xNeRo2r61crod8S00oH+j2ivk29jAVgiGCQ8gL1/XHC3CWVcKYJYXL6XNXml9bx1RJ4jFTXWUrXhTT+ClH3I/3mrx/098OPDHhrw0yiOXZLh1UxlaMHmWb14ReOzCqtW6lRL93QUrulhqbjTgrXUpLmj7j8OP+SeeA/wDsTPC//pjsa+oP0Y7OgAoAKACgAoAKACgAoA8Z8E/8le+N/wD3TX/1GLugD2agAoAKACgAoAKACgAoA8Z8bf8AJXvgh/3Ur/1GLSgD2agAoAKACgAoAKACgAoA4z4j/wDJPPHn/YmeKP8A0x31AB8OP+SeeA/+xM8L/wDpjsaAOzoAKACgAoAKACgAoAKAPya+I/8AyUPx5/2Ofij/ANPl9QB//9L+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgAoAKACgAoAKAPIPjB8cvh58ENAfXPHGsx200qSf2VodqUn1vWZ1B2w2FkGDlN3Et1LstoVy0koK4r53iPinJ+F8I8VmmJUJST9hhadp4rEzX2aVK97X+KpLlhFauWlj4XjvxG4W8OsslmPEWPhSnOMvqWXUWqmYZhUSdqeGw91Jq+k60+WjTV3KSs1L8MP2g/2uPiN8eb2bTFmn8L+BvNKWXhLS7iT/TELbYpdcuYyj6ndOCMwYWzjZisUJ4dv5a4u8Qc74srSw8XUwWWOfLRy7Dyd6utovEzheVepLT3P4aekYP4pf5weKHjjxb4m4qeBhOtlHDrqcmFyHA1Jt4m8uWnLMKkLTxted9KWlCMpOMKcrRlL179nH9grxV8SoNL8Y/Eua48IeCLyK3v7HTIgv8AwkniCymRZoJY0bcmk2N1CyOlxcBrqSKUPDbrxIv0XB3hLmOb+yx+fe0yzLpcs4Ya1sdiovX4X/u1OSt7006jTuoo+88K/ox59xR9WznjR1+HsinyVaeA5eXOcxpv3o/u5aYCjUjb95WXtnGV4UU1c/ZjwD8N/BHww0ODw94G8O6d4f02BFV1s4VFzduo5nv7xgbm9uHOWeW4lc7mO3apCr/SOU5LleR4WGDyvB0cJRikmqcVz1Gvt1ajvOrN7uU5S12Z/fXDPCXDvB2W0sq4cyrC5ZhKcYxaoU0q1eUVrVxOId6uIqyd5SnVk3du3KmoncV6h9GFABQAUAFABQB/NH+0frlz8QP2jPiNcpIZWvfG9x4f0/neEg025i0GzjTGCVAtlO0Y+ZiOK/ifjPFTzfjLOJp3dTNJ4OjrdKFGawtJLbS0F/wdWf5E+LOZVuKPFfiutGTm8RxFVyvC68yVLCVYZbh4x3urUU9OrdraI/c74JeHbbwl4t+Ivhe0RY7fw/4f+D2kRqg2r/oHgqS3ZservGzt0yzE4GcV/ZWV4OGX5bgMDTSUMHg8Ph4pKy/c0oQbt5tNvzZ/q7w7lVLI8hyXJqMVClleV4HAxUdF/s2Gp0m/+3pRcn5vzPo6u49kKACgAoAKACgAoAKAPGfG3/JXvgh/3Ur/ANRi0oA9moAKACgAoAKACgAoAKAPGf2g/wDkkPi7/uAf+pPotAHs1ABQAUAFAH5D/t1/smzJcXvxo+GmkNLDOWn8d+H9Ot2Z4pT8z+JLG2hUkxyc/wBrQxr8j4u1Cq8qr/PHip4fyUqvEuSYdyjNuea4OjDWL642lCKd4v8A5fxitH+8VveP4V+kl4IVI1cR4g8I4Fzp1G6nEuV4Sk3KnU3lm+GpQTfJO3+204J8smq8Uk5xj+e3wX+Nvjb4GeLbfxR4PviI3aOLWtEuHdtK12wDZe0voQcBwCxtrtMT2kp8yMsN6N+Q8M8T5pwrmEMdl1V8rajisLNv2GKpJ606sb76twqRSnTl70W7OJ/Lnh94h8Q+HGeUs5yLEPkk4QzDLqspPB5lhVK8qGJprS9rulWj+9ozfNDdxl/Ql8DPj34I+PPhWLX/AAtdrBqVukceveG7qWP+1dEvCvzxzRAgzWrtk217EvkzJjlXBSv6+4W4syvivARxeAqKNaCisXgpyXt8LUa1UlvKm2/cqpcslbZ3P9SPDjxM4c8S8lhmeTV1TxdKMY5nlNacfruXV2vejUho6lFv+FiIJ06kWtYyvE9vr6c/RQoA8Z+Df/NVf+yzeOf/AHF0AezUAFABQAUAFABQAUAFAHjP/Nwv/dGf/d3oA9moAKACgAoAKACgAoAKAPGf2g/+SQ+Lv+4B/wCpPotAHs1ABQAUAFABQAUAFABQAUAeM/s+f8kh8I/9x/8A9SfWqAPZqACgAoAKACgAoAKACgDxnwT/AMle+N//AHTX/wBRi7oA9moAKACgAoAKACgAoAKAPGfjJ/zSr/ss3gb/ANylAHs1ABQAUAFABQAjKrqyOoZWBVlYAqysMFWByCCCQQRgg4OcmhpNNNXT0aezXZ77+n3iaUk4ySaaaaaumno007pprRpr77n5+eMf+CdHwe8UeL7rxLY634m8M6fqF619feG9K+wSaeZZpTLcR2NxdQSXNhBKzNiIGcQhsREYCr+RZl4OcOY7MZ46licbgqNWq6tbBUPZOi5SlzTVKc4SnRjJt+6nLlvptY/mDP8A6KfAec59WzjD5hnGUYXFYiWJxWUYJ4aWFc6k3OrHDVa1OdbDU5ybtBOqqd7QaSifaXgPwB4S+Gfhqw8J+C9GtdF0XT4wscFug824lx+8u724I827vJ2y81xMzO7HA2oFRP0vKspy/JMFRy/LMNTwuGoxSjCC96cvtVKs/iqVJvWc5O7fSKS5v6B4a4YyPhDKMNknD+Ao5fl+FilClSXv1J29+viKr9+vXqP3qlWo3KTv8KUYRT4j/wDJPPHn/YmeKP8A0x31eke+Hw4/5J54D/7Ezwv/AOmOxoA7OgAoAKACgAoAKACgAoA8Z8E/8le+N/8A3TX/ANRi7oA9moAKACgAoAKACgAoAKAPGfG3/JXvgh/3Ur/1GLSgD2agAoAKACgAoAKACgAoA4z4j/8AJPPHn/YmeKP/AEx31AB8OP8AknngP/sTPC//AKY7GgDs6ACgAoAKACgAoAKACgD8mviP/wAlD8ef9jn4o/8AT5fUAf/T/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoAKAPh79p39tDwn8FIrzwr4UNr4q+JLRNGbJJPM0rw1I6fLca1NGQJLqMEPHpcTmVm2/aWhQOH/L+OPErL+GY1MBgPZ4/OmnH2Sd6GCbWk8VJNXmrpxoR95v43FaH86eMP0gck8PYYjJcldDOuLXBw+rxnz4LKZSjpVzGpD4q0U1KODg3Nu3tuSN1H8arSy+MP7TvxHcRDVvG/jDWZd888rN9h0qzLnDSycWmj6RZqSFUeVEiKQiPMSH/m2nS4j45zl8v1jM8xxMrznJv2VCnfeUtKeGw9NbJKMUlpd/F/AdDD8eeMPFkuRY3iLPswnzVas21h8FQ5tHOT/cYDA0FeyTjGMYvl5pt836xfDL9ijwV8GPh14u8UeKha+MfiKngvxLOl/PDu0fw7P/Yd6Quh2sqfPdRHj+1LhPP3ZNutsApb+keC/DLK+G408bj1TzLOLKXtZwvhsHJ9MLSktZrZ15vm35OVay/vvwl+jzw7wBGhm+dqhxBxTyxmsRVpc2Ayyo9XHL6FS6lVht9bqw9pf+EqaSZ9w/Dj/knngP8A7Ezwv/6Y7Gv1E/ow7OgAoAKACgAoAKACgD81m/4J5aW3xsPxDbxuzeDm8VHxc3httOc6w16dQ/tY6cdSM/2Y2RvflM5h842/ymPNfiz8H8O+J/7YeaN5c8f/AGh9SdF/WPae29v7D2zk4ey9pp7T4+T7Keh/JD+ixgn4iPip8RSeQPOnnryh4STx7xDxX114R4t1nSeHeI0dVw9p7LTkbPsPwT/yV743/wDdNf8A1GLuv2k/rc9moAKACgAoAKACgAoAKAPGfG3/ACV74If91K/9Ri0oA9moAKACgAoAKACgAoAKAPGf2g/+SQ+Lv+4B/wCpPotAHs1ABQAUAFADXRJEaORVdHVkdHUMjowwysrZVlYEhlIwRwc5pNJpppNNNNNXTT0aaejTW6f6ilGMouMkpRknGUZJOMotWaad001dNNWa0dz8o/2tv2F01E6l8SfgppoTUGaS98Q+A7RAsd47EvPqHhuIYWO4YlpLnSl2RytmW02OXhb8D8QfCxVvbZ1wzRtWblUxmVU1ZVW3eVbBrZT1bnQVlLenZtxP4n8cfo3xxX1vi3w9wajiW5YjNOGqEVGGIb1qYrKYKyjVbvOtg1aM23KgoycoH5XeG/FHjX4Y+Jo9W8O6nrPhLxNpFwY3aFp7C8glib95aX1rIF8yMkbZrS7heNujxn+H8GwWPzPI8csRg6+Jy/HYedm481KpGSetOrCVrrpKnUjJPZpXTP4uynOeIeD83jjsqxmPyPOMDVcZOm6mHr05wfv0cRRny80b6VKNaEovZxZ+tfwI/wCCi/hzV7W10H4223/CP6ynlwp4t0q0lm0TUCfl87UrGEyT6XL1MskCT2h4IWHla/oPhXxkwWJhTwvE8PqeJXLFZhQpuWFrf3q1KPNKhJauTjGUNrJXZ/cPhr9K3KcfRo5Z4iUv7KzCPJTjnmCozqZdinoufF4anz1cFU3c50ozodbQu4n6SeGvFnhnxlpkOs+FNe0nxDpc6q0d7pF9b3sBDDIDtBI5ifHWOUK69xX7RgswwWZUI4nAYuhjKE0nGrh6sKsddk3HZ+Ukn3SP61yjO8oz/B08wyXM8FmmCqpShicDiaWJp6q6UnTb5JW3hNRmuq0POfg3/wA1V/7LN45/9xddZ6h7NQAUAFABQAUAFABQAUAeM/8ANwv/AHRn/wB3egD2agAoAKACgAoAKACgAoA8Z/aD/wCSQ+Lv+4B/6k+i0AezUAFABQAUAFABQAUAFABQB4z+z5/ySHwj/wBx/wD9SfWqAPZqACgAoAKACgAoAKACgDxnwT/yV743/wDdNf8A1GLugD2agAoAKACgAoAKACgAoA8Z+Mn/ADSr/ss3gb/3KUAezUAFABQAUAFABQAUAFAHGfEf/knnjz/sTPFH/pjvqAD4cf8AJPPAf/YmeF//AEx2NAHZ0AFABQAUAFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPjb/kr3wQ/wC6lf8AqMWlAHs1ABQAUAFABQAUAFABQBxnxH/5J548/wCxM8Uf+mO+oAPhx/yTzwH/ANiZ4X/9MdjQB2dABQAUAFABQAUAFABQB+TXxH/5KH48/wCxz8Uf+ny+oA//1P7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df8AuUoA9moAKACgAoAKAPy7/a9/bej8LNqfwx+D+oRXHiJRJZeIvGVs6TW+iMQUn0/RHG6OfVEGUmvhvhs3ysPmzJvT8L8RPFCOAdfI+HasZ41c1LGZjBqUMM9p0cM9p11tKqrxpvSLckmfxt46/SKjkrxnB/AeJhVzZKeHzXP6Mo1KWXS1jVwuXSXNGrjI6xqYhc1PDy0puVSPNH4D/Z9/Zq8fftH+JJrtZbrTvC0N4ZfE3jbUlluAZZHMk9vZNMS2qaxcEsdvmMkTMZruRVG1vyXhDgnNuM8bKopVKOAjUcsbmlZSknJu8oUnK/t8RJt6W5Y7zaSZ/Mfhf4R8T+LGbVK8Z1sLktPEOeccQ4uM6ic5y5qlLDubvjMfUbbtzOMG/aVnFLkl+9Xwj+DHgL4KeG4fDngfSIrNSqNqeqzKkur61dKuGu9SvcB5WJ/1cK7LeBMJDGuGLf1fw9w1lPDOCjgsrw0aasvb4iSUsRianWpWq6OX92CXJBaRtqf6YcDeH/DPh7lEMp4cwMKCai8XjaiU8fmFZLWti8RyqU238FOPLSpLSnBe85dH8R/+SeePP+xM8Uf+mO+r3z7UPhx/yTzwH/2Jnhf/ANMdjQB2dABQAUAFABQAUAFABQB4z4J/5K98b/8Aumv/AKjF3QB7NQAUAFABQAUAFABQAUAeM+Nv+SvfBD/upX/qMWlAHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgD5g+PP7KHwx+O1rNeanYr4e8ZLERZ+L9HhjivmcA+WmrQBUh1a3BOCLj/AEhFP7q4TCivhuK+AMj4qpyqV6X1TMlF+zzHDRUavN0WIj8OIh350pr7MtPe/HfEvwS4O8SaNSvjMMsrz9QaoZ7gIQhiXJJ8scdS92njaV91V/epawqRskfj38Vv2JPjn8L/ALVex6D/AMJt4et97jWvCIl1B0gT/lpeaQUTU7U4+8FguIlPSdlG6v50z/ww4pyN1KkcJ/aeDjd/WcvvVahHXmqYe3toadoNK3XRH8HcbfR48R+DfbYiGWf6w5XS5pf2hkaniZKlHXnr4Fx+uUdN7UqsVb42tY/PXhDx/wCPvhjrB1Dwf4k13wnqtvLtnWyuZ7Tc8Zw0N9YviC4AwVeK7glA6FDyK+Py7N82yPEutl2NxeX14ytNUpzp3a+zVpNOM9rONSEuzSPy3IuJuJ+Dsf8AWsizbMskxtKdqkcPWq0Lyjo4YnDSvSqpbOnXpS6p2u0fuX+wd8Q9c+JXws8WeIPEirJrc3xJ1ybUb+KFbeDUbq+0rQrua4SFAIo5PMkfzUiCxqWXYig4r+tfDjibHcUcP/XMxhH63hsVUwlStCHJDEckKc41VFe6p2qKNRRtHmjeyvY/048BPELOPEXgj+1M+pQWZ5fmNfLK+LpUlRo49UqVGtDExpRShCpy1vZ1lT9znhdKN7H27X35+2hQAUAFABQAUAFABQB4z/zcL/3Rn/3d6APZqACgAoAKACgAoAKACgDxn9oP/kkPi7/uAf8AqT6LQB7NQAUAFABQAUAFABQAUAFAHjP7Pn/JIfCP/cf/APUn1qgD2agAoAKACgAoAKACgAoA8Z8E/wDJXvjf/wB01/8AUYu6APZqACgAoAKACgAoAKACgDxn4yf80q/7LN4G/wDcpQB7NQAUAFABQAUAFABQAUAcZ8R/+SeePP8AsTPFH/pjvqAD4cf8k88B/wDYmeF//THY0AdnQAUAFABQAUAFABQAUAeM+Cf+SvfG/wD7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM+Nv8Akr3wQ/7qV/6jFpQB7NQAUAFABQAUAFABQAUAcZ8R/wDknnjz/sTPFH/pjvqAD4cf8k88B/8AYmeF/wD0x2NAHZ0AFABQAUAFABQAUAFAH5NfEf8A5KH48/7HPxR/6fL6gD//1f7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df8AuUoA9moAKACgAoA/KL9tT9suTSn1P4RfCbVFF9sksfGXi6wly1nuDJcaFotxGcC52kx6jfxNmLLW1uysJJG/AvEzxJdB1+HeH669raVLMswpS/h3TU8JhpJ257XjWqp+7rCDvdn8TfSD8fpYKWM4F4Ixi+s8s8Nn+eYad3Qv7tXLcvqR5v3trwxeJg/cu6NKTlzzj8ofspfsla98eNXj8TeJVvNI+Gmn3edQ1Mho7zxJcxvul0vSJJNzEM3F/qOClsrFI99yyhPgeAfD7F8V4hY7HKph8ko1P3tZ3jUxs07yoYaTu7ParWV1C9lzTaZ+KeCngfmXiVj45vm8cRgeEMLXvisY1KFfNqsHzTwWBlJ3abssTi7TjSUmoOVZ8sf3t8L+FvD3gvQtO8M+FtJs9F0PSoEtrHT7GJYYIo0AGSAA0kr43SzSF5ZXyzuxJNf1hgcBhMtwtHBYHD08NhaEFClRpR5YxS6vq5PeUpNyk9W22f6Y5Nk2V8P5bhcoybBUMvy7BUo0sNhcNBQpwhFWvprKcrXnUm3OctZNtm/XWemcZ8R/+SeePP8AsTPFH/pjvqAD4cf8k88B/wDYmeF//THY0AdnQAUAFABQAUAFABQAUAeM+Cf+SvfG/wD7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM+Nv8Akr3wQ/7qV/6jFpQB7NQAUAFABQAUAFABQAUAeM/tB/8AJIfF3/cA/wDUn0WgD2agAoAKACgAoAKACgAoA8R+I/7OXwY+K7rceNPAuk3uoK4f+1rFZNI1Z8HJSbUNMe2uLhGz8y3DSZwMYxXy+c8GcNZ+1PMsqw9Wsnf6xSTw+IfdSrUOSc0+qm5+Vj874s8KPD/jaSrcQcN4HEYpST+vYdTwOOlq241MVg/YVasW3qqrqX8rGT+zp4Y0LwboPxA8MeGtPh0vRNG+LPjDT9PsoN5WG2tYdIghUySM0sriKNFaWVmkfblmJyW9nLcswGT4OlgMtw1PCYSinyUaadk3rKUnJuU5yespzlKT7q1j6vh/h7JuFsqw2S5Bl9DLcswiao4agmo803edSpOTdSrVqS96pVqSnOT3k0kfQld57IUAFABQAUAFABQAUAeM/wDNwv8A3Rn/AN3egD2agAoAKACgAoAKACgAoA8Z/aD/AOSQ+Lv+4B/6k+i0AezUAFABQAUAFABQAUAFABQB4z+z5/ySHwj/ANx//wBSfWqAPZqACgAoAKACgAoAKACgDxnwT/yV743/APdNf/UYu6APZqACgAoAKACgAoAKACgDxn4yf80q/wCyzeBv/cpQB7NQAUAFABQAUAFABQAUAcZ8R/8Aknnjz/sTPFH/AKY76gA+HH/JPPAf/YmeF/8A0x2NAHZ0AFABQAUAFABQAUAFAHjPgn/kr3xv/wC6a/8AqMXdAHs1ABQAUAFABQAUAFABQB4z42/5K98EP+6lf+oxaUAezUAFABQAUAFABQAUAFAHGfEf/knnjz/sTPFH/pjvqAD4cf8AJPPAf/YmeF//AEx2NAHZ0AFABQAUAFABQAUAFAH5NfEf/kofjz/sc/FH/p8vqAP/1v7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df8AuUoA9moAKACgD88P27P2m7j4XaDF8NfBGoi38c+J7RpNWvrdwbjw54enVo90eMmDUtU+ZLV2+aG2WW4UFmiLfj3ipxxPIsJHJcrrcma46m3iKkH7+Cwc01eLXw16+qp31jC81vE/lf6SXjBV4NyyHCPDuK9lxJnFBzx2JpSXtcpyqonHmg96eLxusaL3p0YzqrWUD89P2T/2X9Z+P/ig63r63ll8OdFvVk1/VmLrPrl4G81tF02ZwWknmJzqF4GcWsTnk3DqK/IOAOBcTxbjvrWL9pSybDVebF4h3U8VUvd4ajJ3blJ61qnvcke8mlH+WvBHwbx/ifnLzHM1Xw/CeX4hTzPHPmVXMq6lzvLsJUlrKpUvfFYj3lQhL7VaUVH+gXQ9D0jwzpGnaBoOn2ulaPpNrFZafp9nEsNta20KhY440XjoMsxy7uxdyXYs39cYXC4fBYejhMJRp0MNh6caVGjSiowpwirJJK3q3u3du7uz/UDLcuwOUYHC5ZlmFo4LAYKjDD4XC4eCp0qNGmrRjGK8tW3eUpNyk3JtmrXQdoUAcZ8R/wDknnjz/sTPFH/pjvqAD4cf8k88B/8AYmeF/wD0x2NAHZ0AFABQAUAFABQAUAFAHjPgn/kr3xv/AO6a/wDqMXdAHs1ABQAUAFABQAUAFABQB4z42/5K98EP+6lf+oxaUAezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/cA/8AUn0WgD2agAoAKACgAoAKACgAoAKAPGfg3/zVX/ss3jn/ANxdAHs1ABQAUAFABQAUAFABQB4z/wA3C/8AdGf/AHd6APZqACgAoAKACgAoAKACgDxn9oP/AJJD4u/7gH/qT6LQB7NQAUAFABQAUAFABQAUAFAHjP7Pn/JIfCP/AHH/AP1J9aoA9moAKACgAoAKACgAoAKAPGfBP/JXvjf/AN01/wDUYu6APZqACgAoAKACgAoAKACgDxn4yf8ANKv+yzeBv/cpQB7NQAUAFABQAUAFABQAUAcZ8R/+SeePP+xM8Uf+mO+oAPhx/wAk88B/9iZ4X/8ATHY0AdnQAUAFABQAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM+Nv+SvfBD/ALqV/wCoxaUAezUAFABQAUAFABQAUAFAHGfEf/knnjz/ALEzxR/6Y76gA+HH/JPPAf8A2Jnhf/0x2NAHZ0AFABQAUAFABQAUAFAH5NfEf/kofjz/ALHPxR/6fL6gD//X/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoA81+L3xM0X4Q/DzxJ491x08jRbJ2s7UsFfUtVnBi03TYcsu6S7uiiEA5WISycBGNeJxFneG4dyfG5timuXDUn7OndJ1q8rqjRjtdzna9ndRTelmfI8dcX5fwLwrm/E2YyXssvw8nQotpSxeNqe5g8JT1V516zjF2d4wU56qLP53PD+j+Pf2ofjUlq80l94m8cazLfanfPve30nTFcPd3JGD5VhpNiBHBEMLhIYQS8ma/jvB4bNuOuJlBydXG5piXVr1Xdww9BO9Sb/lpYelpGOm0YrVpS/ysyvAcTeMviFGjKpLE5xxFmE8RjMTK8qOBwcXzV6zSXuYXA4a0acEkny06ekpH9Gvw3+H/AIe+F3gvQfA3hi2W30nQrKO2Rtqia8uCN13qF2w/1l3ezl55nYsdzbAdiJX9l5NlGDyLLMJleBgoYfCUlBO1pVJ71K1Tq6lWd5ybct7J2R/q9wnwvlfBvD2WcOZPRVLBZbh40ouyVSvV3r4qu1dzr4iq5VakpNu8rK0VFR7ivUPowoAKAOM+I/8AyTzx5/2Jnij/ANMd9QAfDj/knngP/sTPC/8A6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/wDdNf8A1GLugD2agAoAKACgAoAKACgAoA8Z8bf8le+CH/dSv/UYtKAPZqACgAoAKACgAoAKACgDxn9oP/kkPi7/ALgH/qT6LQB7NQAUAFABQAUAFABQAUAFAHjPwb/5qr/2Wbxz/wC4ugD2agAoAKACgAoAKACgAoA8Z/5uF/7oz/7u9AHs1ABQAUAFABQAUAFABQB4z+0H/wAkh8Xf9wD/ANSfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j/wD6k+tUAezUAFABQAUAFABQAUAFAHjPgn/kr3xv/wC6a/8AqMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df+5SgD2agAoAKACgAoAKACgAoA4z4j/8k88ef9iZ4o/9Md9QAfDj/knngP8A7Ezwv/6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/wAle+N//dNf/UYu6APZqACgAoAKACgAoAKACgDxnxt/yV74If8AdSv/AFGLSgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgD8mviP8A8lD8ef8AY5+KP/T5fUAf/9D+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgD8S/+Cj3xguvEHj3TPhNpl2f7D8G20Gp61FC/yXXiXUoTJHHcbSN39mac8KpE6kJNdyuDuCmv5j8Z+Ip4vNaHD9Cp/suWwjXxUYvSeNrRvFTs7P2NFpKLXuynJ63XL/nj9LHjutmnE2D4Iwdf/hOyCjTxmYQpy92tm2LhzRhVtbm+qYWUFGErqNStNq0kj6j/AOCfPwKj8DfD9/ijrdsv/CTfEG3jfSxIoMum+FEfdaKucmKbVpV+2zjh/IW1RiRkV914Q8KrKsoeeYqmvr2bxToXXvUcAnemk7u0q8v3krKPuKC1P2X6LnhvHhvheXGWY0Y/2xxRSjLBc0ffwmSxlejFXu4Txs4/WKmz9mqMW3do/RGv2I/qkKACgAoA4z4j/wDJPPHn/YmeKP8A0x31AB8OP+SeeA/+xM8L/wDpjsaAOzoAKACgAoAKACgAoAKAPGfBP/JXvjf/AN01/wDUYu6APZqACgAoAKACgAoAKACgDxnxt/yV74If91K/9Ri0oA9moAKACgAoAKACgAoAKAPGf2g/+SQ+Lv8AuAf+pPotAHs1ABQAUAFABQAUAFABQAUAeM/Bv/mqv/ZZvHP/ALi6APZqACgAoAKACgAoAKACgDxn/m4X/ujP/u70AezUAFABQAUAFABQAUAFAHjP7Qf/ACSHxd/3AP8A1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/APqT61QB7NQAUAFABQAUAFABQAUAeM+Cf+SvfG//ALpr/wCoxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/7lKAPZqACgAoAKACgAoAKACgDjPiP/yTzx5/2Jnij/0x31AB8OP+SeeA/wDsTPC//pjsaAOzoAKACgAoAKACgAoAKAPGfBP/ACV743/901/9Ri7oA9moAKACgAoAKACgAoAKAPGfG3/JXvgh/wB1K/8AUYtKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoAKACgAoAKACgAoAKAPya+I/wDyUPx5/wBjn4o/9Pl9QB//0f7kv+EJ+L3/AEW//wAxr4Y/+S6AD/hCfi9/0W//AMxr4Y/+S6AD/hCfi9/0W/8A8xr4Y/8AkugA/wCEJ+L3/Rb/APzGvhj/AOS6AD/hCfi9/wBFv/8AMa+GP/kugDzP/hFviP8A8Lk/s3/haf8AxP8A/hWf27/hJP8AhCNC/wCQP/wlPkf2H/Y/2j7F/wAfv+n/ANpb/tX/AC67PK+agD0z/hCfi9/0W/8A8xr4Y/8AkugA/wCEJ+L3/Rb/APzGvhj/AOS6AD/hCfi9/wBFv/8AMa+GP/kugA/4Qn4vf9Fv/wDMa+GP/kugA/4Qn4vf9Fv/APMa+GP/AJLoAP8AhCfi9/0W/wD8xr4Y/wDkugA/4Qn4vf8ARb//ADGvhj/5LoAP+EJ+L3/Rb/8AzGvhj/5LoA8z+MXhb4j6d8OPEV5r3xT/AOEj0mH+yPtei/8ACEaFo/2zzNd0uKD/AImNncSXNv8AZ7mSG7/dqfN8jyHxHK5UA9M/4Qn4vf8ARb//ADGvhj/5LoAP+EJ+L3/Rb/8AzGvhj/5LoAP+EJ+L3/Rb/wDzGvhj/wCS6AD/AIQn4vf9Fv8A/Ma+GP8A5LoAP+EJ+L3/AEW//wAxr4Y/+S6AD/hCfi9/0W//AMxr4Y/+S6AD/hCfi9/0W/8A8xr4Y/8AkugA/wCEJ+L3/Rb/APzGvhj/AOS6AD/hCfi9/wBFv/8AMa+GP/kugDzP4O+FviPqPw48O3mg/FP/AIRzSZv7X+yaL/whGhax9j8vXdUin/4mN5cR3Nx9ouY5rv8AeKPK8/yEzHEhYA9M/wCEJ+L3/Rb/APzGvhj/AOS6AP4jv+D1TQvGej/A39hd/FPjz/hMYp/ix8XFtIf+EX0rw/8AYpE8IeFzLL5unTStc+apVPLlAVNu5TliKAPX/wDgzK8P+ONX/Ya/acm8L/EL/hELSP8AadWOey/4RPSNf+03H/CtPCLfaftOoTxSw/uysfkopT5N+dzEUAf2Jf8ACE/F7/ot/wD5jXwx/wDJdAB/whPxe/6Lf/5jXwx/8l0AH/CE/F7/AKLf/wCY18Mf/JdAB/whPxe/6Lf/AOY18Mf/ACXQAf8ACE/F7/ot/wD5jXwx/wDJdAHmfhbwt8R5/iP8U7Oz+Kf2DVrD/hB/7a1r/hCNCuv7e+1aFcS6d/xLpbgW2l/2XbBrT/RGf7bv8+fbIoFAHpn/AAhPxe/6Lf8A+Y18Mf8AyXQAf8IT8Xv+i3/+Y18Mf/JdAB/whPxe/wCi3/8AmNfDH/yXQAf8IT8Xv+i3/wDmNfDH/wAl0AH/AAhPxe/6Lf8A+Y18Mf8AyXQAf8IT8Xv+i3/+Y18Mf/JdAB/whPxe/wCi3/8AmNfDH/yXQAf8IT8Xv+i3/wDmNfDH/wAl0AeZ/Evwt8R7L/hX/wDa/wAU/wC2/tfxN8K2Ol/8URoWm/2RrE/2/wCxa5/o1w/2/wCwbJf+JbcbbW6839842JQB6Z/whPxe/wCi3/8AmNfDH/yXQBj+IdE+KXhrQda8Q6h8chHY6Hpd/q127fDfwugFvp9rLdSjc10QCyxFVyPvEDnIrmxmKp4LCYnGVmo0sLQq4io3olCjCU5fhE4M1zGhlGWZjmuKko4fLsFisdXk3ZKlhaM609W1vGFlrvZa3P5/vD2meJP2gfjXYafd38l3r/xG8X7r7VJ4U3Il7cNNeXskEHkxIlnYpJIIIjFEiQrEjIgVl/ifC0sTxfxZThNuVbOs15qr19ylUqudR36RpUE7X2UUf5EZbhsw8UvErD0aspTxnFvEjqYibu3Sw+JxLrV5X6Rw2DjPl2SjSSurJn9BWl/Df4o6Npmn6RpvxoS10/S7K10+xto/hr4ZCQWlnClvbxLm8JxHFGqgkknGSScmv7bw9CnhqFHDUYqFLD0qdGlFbRp0oKEF8oxR/r5gcHh8vwWEwGFpqlhcFhqGEw9OOihRw9ONKlFWS+GEEtvvuX/+EJ+L3/Rb/wDzGvhj/wCS62OoP+EJ+L3/AEW//wAxr4Y/+S6AD/hCfi9/0W//AMxr4Y/+S6AD/hCfi9/0W/8A8xr4Y/8AkugDmfGvhD4pW3g3xbc6h8Yf7TsLfwzr099pv/CvvDtl/aFnFpV1Jc2P2yC6aa0+1wq8H2mFWlg8zzYwXVRQAeCvCHxSufBvhK50/wCMP9mWFx4Z0Gex03/hX3h29/s+zl0q1ktrH7ZPdLNd/ZIWSD7TMqyz+X5sgDswoA6b/hCfi9/0W/8A8xr4Y/8AkugA/wCEJ+L3/Rb/APzGvhj/AOS6AD/hCfi9/wBFv/8AMa+GP/kugA/4Qn4vf9Fv/wDMa+GP/kugA/4Qn4vf9Fv/APMa+GP/AJLoAP8AhCfi9/0W/wD8xr4Y/wDkugA/4Qn4vf8ARb//ADGvhj/5LoAP+EJ+L3/Rb/8AzGvhj/5LoA8z8LeFviPP8R/inZ2fxT+watYf8IP/AG1rX/CEaFdf299q0K4l07/iXS3AttL/ALLtg1p/ojP9t3+fPtkUCgD0z/hCfi9/0W//AMxr4Y/+S6AD/hCfi9/0W/8A8xr4Y/8AkugA/wCEJ+L3/Rb/APzGvhj/AOS6AD/hCfi9/wBFv/8AMa+GP/kugA/4Qn4vf9Fv/wDMa+GP/kugA/4Qn4vf9Fv/APMa+GP/AJLoAP8AhCfi9/0W/wD8xr4Y/wDkugA/4Qn4vf8ARb//ADGvhj/5LoA8z8U+FviPB8R/hZZ3nxT+36tf/wDCcf2LrX/CEaFa/wBg/ZdCt5dR/wCJdFcG21T+1LYraf6WyfYtnnwbpGIoA9M/4Qn4vf8ARb//ADGvhj/5LoAP+EJ+L3/Rb/8AzGvhj/5LoAP+EJ+L3/Rb/wDzGvhj/wCS6AD/AIQn4vf9Fv8A/Ma+GP8A5LoAP+EJ+L3/AEW//wAxr4Y/+S6AD/hCfi9/0W//AMxr4Y/+S6AD/hCfi9/0W/8A8xr4Y/8AkugA/wCEJ+L3/Rb/APzGvhj/AOS6APM/jF4W+I+nfDjxFea98U/+Ej0mH+yPtei/8IRoWj/bPM13S4oP+JjZ3Elzb/Z7mSG7/dqfN8jyHxHK5UA9M/4Qn4vf9Fv/APMa+GP/AJLoAP8AhCfi9/0W/wD8xr4Y/wDkugA/4Qn4vf8ARb//ADGvhj/5LoAP+EJ+L3/Rb/8AzGvhj/5LoAP+EJ+L3/Rb/wDzGvhj/wCS6AD/AIQn4vf9Fv8A/Ma+GP8A5LoAP+EJ+L3/AEW//wAxr4Y/+S6AD/hCfi9/0W//AMxr4Y/+S6AD/hCfi9/0W/8A8xr4Y/8AkugDzP4aeFviPe/8LA/sj4p/2J9k+Jviqx1T/iiNC1L+19Yg+wfbdc/0m4T7B9v3xf8AEtt91ra+V+5c73oA9M/4Qn4vf9Fv/wDMa+GP/kugA/4Qn4vf9Fv/APMa+GP/AJLoAP8AhCfi9/0W/wD8xr4Y/wDkugA/4Qn4vf8ARb//ADGvhj/5LoAP+EJ+L3/Rb/8AzGvhj/5LoAP+EJ+L3/Rb/wDzGvhj/wCS6AD/AIQn4vf9Fv8A/Ma+GP8A5LoAP+EJ+L3/AEW//wAxr4Y/+S6APM/+EW+I/wDwuT+zf+Fp/wDE/wD+FZ/bv+Ek/wCEI0L/AJA//CU+R/Yf9j/aPsX/AB+/6f8A2lv+1f8ALrs8r5qAPTP+EJ+L3/Rb/wDzGvhj/wCS6AD/AIQn4vf9Fv8A/Ma+GP8A5LoAP+EJ+L3/AEW//wAxr4Y/+S6AD/hCfi9/0W//AMxr4Y/+S6AD/hCfi9/0W/8A8xr4Y/8AkugA/wCEJ+L3/Rb/APzGvhj/AOS6AD/hCfi9/wBFv/8AMa+GP/kugA/4Qn4vf9Fv/wDMa+GP/kugDzP4xeFviPp3w48RXmvfFP8A4SPSYf7I+16L/wAIRoWj/bPM13S4oP8AiY2dxJc2/wBnuZIbv92p83yPIfEcrlQD0z/hCfi9/wBFv/8AMa+GP/kugA/4Qn4vf9Fv/wDMa+GP/kugA/4Qn4vf9Fv/APMa+GP/AJLoAP8AhCfi9/0W/wD8xr4Y/wDkugA/4Qn4vf8ARb//ADGvhj/5LoAP+EJ+L3/Rb/8AzGvhj/5LoAP+EJ+L3/Rb/wDzGvhj/wCS6AD/AIQn4vf9Fv8A/Ma+GP8A5LoAP+EJ+L3/AEW//wAxr4Y/+S6APM/g74W+I+o/Djw7eaD8U/8AhHNJm/tf7Jov/CEaFrH2Py9d1SKf/iY3lxHc3H2i5jmu/wB4o8rz/ITMcSFgD0z/AIQn4vf9Fv8A/Ma+GP8A5LoAP+EJ+L3/AEW//wAxr4Y/+S6AD/hCfi9/0W//AMxr4Y/+S6AD/hCfi9/0W/8A8xr4Y/8AkugA/wCEJ+L3/Rb/APzGvhj/AOS6AD/hCfi9/wBFv/8AMa+GP/kugA/4Qn4vf9Fv/wDMa+GP/kugA/4Qn4vf9Fv/APMa+GP/AJLoA8z8LeFviPP8R/inZ2fxT+watYf8IP8A21rX/CEaFdf299q0K4l07/iXS3AttL/su2DWn+iM/wBt3+fPtkUCgD0z/hCfi9/0W/8A8xr4Y/8AkugA/wCEJ+L3/Rb/APzGvhj/AOS6AD/hCfi9/wBFv/8AMa+GP/kugA/4Qn4vf9Fv/wDMa+GP/kugA/4Qn4vf9Fv/APMa+GP/AJLoAP8AhCfi9/0W/wD8xr4Y/wDkugA/4Qn4vf8ARb//ADGvhj/5LoAP+EJ+L3/Rb/8AzGvhj/5LoA8z+Jfhb4j2X/Cv/wC1/in/AG39r+JvhWx0v/iiNC03+yNYn+3/AGLXP9GuH+3/AGDZL/xLbjba3Xm/vnGxKAPTP+EJ+L3/AEW//wAxr4Y/+S6AD/hCfi9/0W//AMxr4Y/+S6AD/hCfi9/0W/8A8xr4Y/8AkugA/wCEJ+L3/Rb/APzGvhj/AOS6AD/hCfi9/wBFv/8AMa+GP/kugA/4Qn4vf9Fv/wDMa+GP/kugA/4Qn4vf9Fv/APMa+GP/AJLoAP8AhCfi9/0W/wD8xr4Y/wDkugDmfGvhD4pW3g3xbc6h8Yf7TsLfwzr099pv/CvvDtl/aFnFpV1Jc2P2yC6aa0+1wq8H2mFWlg8zzYwXVRQAeCvCHxSufBvhK50/4w/2ZYXHhnQZ7HTf+FfeHb3+z7OXSrWS2sftk90s139khZIPtMyrLP5fmyAOzCgDpv8AhCfi9/0W/wD8xr4Y/wDkugA/4Qn4vf8ARb//ADGvhj/5LoAP+EJ+L3/Rb/8AzGvhj/5LoAP+EJ+L3/Rb/wDzGvhj/wCS6AD/AIQn4vf9Fv8A/Ma+GP8A5LoAP+EJ+L3/AEW//wAxr4Y/+S6AD/hCfi9/0W//AMxr4Y/+S6AD/hCfi9/0W/8A8xr4Y/8AkugDzPwt4W+I8/xH+KdnZ/FP7Bq1h/wg/wDbWtf8IRoV1/b32rQriXTv+JdLcC20v+y7YNaf6Iz/AG3f58+2RQKAPTP+EJ+L3/Rb/wDzGvhj/wCS6AD/AIQn4vf9Fv8A/Ma+GP8A5LoAP+EJ+L3/AEW//wAxr4Y/+S6AD/hCfi9/0W//AMxr4Y/+S6AD/hCfi9/0W/8A8xr4Y/8AkugA/wCEJ+L3/Rb/APzGvhj/AOS6AD/hCfi9/wBFv/8AMa+GP/kugA/4Qn4vf9Fv/wDMa+GP/kugDzPxT4W+I8HxH+FlnefFP7fq1/8A8Jx/Yutf8IRoVr/YP2XQreXUf+JdFcG21T+1LYraf6WyfYtnnwbpGIoA9M/4Qn4vf9Fv/wDMa+GP/kugA/4Qn4vf9Fv/APMa+GP/AJLoAP8AhCfi9/0W/wD8xr4Y/wDkugA/4Qn4vf8ARb//ADGvhj/5LoAP+EJ+L3/Rb/8AzGvhj/5LoAP+EJ+L3/Rb/wDzGvhj/wCS6AD/AIQn4vf9Fv8A/Ma+GP8A5LoAP+EJ+L3/AEW//wAxr4Y/+S6AOZ8a+EPilbeDfFtzqHxh/tOwt/DOvT32m/8ACvvDtl/aFnFpV1Jc2P2yC6aa0+1wq8H2mFWlg8zzYwXVRQAeCvCHxSufBvhK50/4w/2ZYXHhnQZ7HTf+FfeHb3+z7OXSrWS2sftk90s139khZIPtMyrLP5fmyAOzCgDpv+EJ+L3/AEW//wAxr4Y/+S6AD/hCfi9/0W//AMxr4Y/+S6AD/hCfi9/0W/8A8xr4Y/8AkugA/wCEJ+L3/Rb/APzGvhj/AOS6AD/hCfi9/wBFv/8AMa+GP/kugA/4Qn4vf9Fv/wDMa+GP/kugA/4Qn4vf9Fv/APMa+GP/AJLoAP8AhCfi9/0W/wD8xr4Y/wDkugD88/GsF5beMvFttqF9/ad/b+JtegvtS+zRWX9oXkWq3UdzffY4C0Np9rmV5/s0LNFB5nlRkoqmgD//0v7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df8AuUoA9moA+Lv29fHh8F/s96/YW84i1DxtfWHhS2XOJGtLp2vNWKY5GNPtJYmIH/LcA4DV+a+K+bf2Zwhi6UJctbM6tLL4L7Tp1L1K7X/cKm4vynbqfz99JjiZ8P8AhbmeFpVFDFcRYnDZJSV7SdCtJ18a4210w1CUJeVWz3Pg3/gmz4B/t34r+IPHVzDus/BHh94LR2TKf2v4gZ7SLaTwJItPhv2HQrvB5yu38n8Fcp+t5/jM1nG9PK8I4U21dfWMY3TVn0lGjGq/K+nU/mj6JPDH9pcbZpxJWhehw7lcqdCUo3j9fzRyoQs3tOnhaeJemq50+qP3Dr+oj/RgKACgAoAKAOM+I/8AyTzx5/2Jnij/ANMd9QAfDj/knngP/sTPC/8A6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/wDdNf8A1GLugD2agAoAKACgAoAKACgAoA8Z8bf8le+CH/dSv/UYtKAPZqACgAoAKACgAoAKACgDxn9oP/kkPi7/ALgH/qT6LQB7NQAUAFABQAUAFABQAUAFAHjPwb/5qr/2Wbxz/wC4ugD2agAoAKACgAoAKACgAoA8Z/5uF/7oz/7u9AHs1ABQAUAFABQAUAFABQB4z+0H/wAkh8Xf9wD/ANSfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j/wD6k+tUAezUAFABQAUAFABQAUAFAHjPgn/kr3xv/wC6a/8AqMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df+5SgD2agAoAKACgAoAKACgAoA4z4j/8k88ef9iZ4o/9Md9QAfDj/knngP8A7Ezwv/6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/wAle+N//dNf/UYu6APZqACgAoAKACgAoAKACgDxnxt/yV74If8AdSv/AFGLSgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgD8mviP8A8lD8ef8AY5+KP/T5fUAf/9P+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqAPxo/wCCnXjKS78X/D3wHFNm20bRL3xJeQg/8v2r3RsrZmGeqWmnybcjOJmxgE7v5t8ccylUzHJ8pjL3MPhamNqR/wCnuIqOlBvzVOjK2n2utz+Avph5/OvnvC3DUKn7nAZdiM2r00/+YnHVnh6Tktk40MLLl0vao9tD6j/4J2+CF8M/AceIpYtl7468Qajq7Oerafpzf2Rpwz125truUDp+/wAjqa+68HcrWB4UWNlG1XNcXWxDfejRf1ej8vcnL/t4/Zfoq8OLJ/DVZtOHLiOJM0xWObtq8LhH9Rwqv2vRr1Fpb95fW596V+sH9MBQAUAFABQBxnxH/wCSeePP+xM8Uf8ApjvqAD4cf8k88B/9iZ4X/wDTHY0AdnQAUAFABQAUAFABQAUAeM+Cf+SvfG//ALpr/wCoxd0AezUAFABQAUAFABQAUAFAHjPjb/kr3wQ/7qV/6jFpQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z+Df/NVf+yzeOf/AHF0AezUAFABQAUAFABQAUAFAHjP/Nwv/dGf/d3oA9moAKACgAoAKACgAoAKAPGf2g/+SQ+Lv+4B/wCpPotAHs1ABQAUAFABQAUAFABQAUAeM/s+f8kh8I/9x/8A9SfWqAPZqACgAoAKACgAoAKACgDxnwT/AMle+N//AHTX/wBRi7oA9moAKACgAoAKACgAoAKAPGfjJ/zSr/ss3gb/ANylAHs1ABQAUAFABQAUAFABQBxnxH/5J548/wCxM8Uf+mO+oAPhx/yTzwH/ANiZ4X/9MdjQB2dABQAUAFABQAUAFABQB4z4J/5K98b/APumv/qMXdAHs1ABQAUAFABQAUAFABQB4z42/wCSvfBD/upX/qMWlAHs1ABQAUAFABQAUAFABQBxnxH/AOSeePP+xM8Uf+mO+oAPhx/yTzwH/wBiZ4X/APTHY0AdnQAUAFABQAUAFABQAUAfk18R/wDkofjz/sc/FH/p8vqAP//U/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agD+dv8Abp1yfW/2l/HiTfc0WPQ9DtgCSFgs9HtJT6YLT3M7kDjLHqcmv478VMVPFcbZqpbYVYXCwXaNPDU5fe5VJN+p/lZ9JDMquY+LvEsanw5fHLsuoq+ip0MBQn8r1K1ST85XP3I+Anh+Hwt8FfhdoUH3LPwR4fcnGN0t7p8N/cORxy891I592yc5zX9ScJ4OOA4ayLCx2pZZhHp1lUoxqzfTVyqNvTfsf6NeGeVwybw94Ny2n8OH4dytt954jDU8TUey1lUrTb069T1yvoD7kKACgAoAKAOM+I//ACTzx5/2Jnij/wBMd9QAfDj/AJJ54D/7Ezwv/wCmOxoA7OgAoAKACgAoAKACgAoA8Z8E/wDJXvjf/wB01/8AUYu6APZqACgAoAKACgAoAKACgDxnxt/yV74If91K/wDUYtKAPZqACgAoAKACgAoAKACgDxn9oP8A5JD4u/7gH/qT6LQB7NQAUAFABQAUAFABQAUAFAHjPwb/AOaq/wDZZvHP/uLoA9moAKACgAoAKACgAoAKAPGf+bhf+6M/+7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf9wD/wBSfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/wCSQ+Ef+4//AOpPrVAHs1ABQAUAFABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df8AuUoA9moAKACgAoAKACgAoAKAOM+I/wDyTzx5/wBiZ4o/9Md9QAfDj/knngP/ALEzwv8A+mOxoA7OgAoAKACgAoAKACgAoA8Z8E/8le+N/wD3TX/1GLugD2agAoAKACgAoAKACgAoA8Z8bf8AJXvgh/3Ur/1GLSgD2agAoAKACgAoAKACgAoA4z4j/wDJPPHn/YmeKP8A0x31AB8OP+SeeA/+xM8L/wDpjsaAOzoAKACgAoAKACgAoAKAPya+I/8AyUPx5/2Ofij/ANPl9QB//9X+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqAP5sP2vnZ/2lfi6WOSPE4Qf7qaZp6qPwAAr+LPER83G3EF/+g7l+SpUo+V9F3+4/yR8dZOXi5x030zjl+UcJhku/Rf8ADbH9EfgNBH4G8GRr92Pwn4dQfRdHs1Hr2Hr+df2HlKSyrLEtll+DS9FhqZ/qnwzFR4b4fito5JlUV6LAUEu3RdvuOsr0D2woAKACgAoA4z4j/wDJPPHn/YmeKP8A0x31AB8OP+SeeA/+xM8L/wDpjsaAOzoAKACgAoAKACgAoAKAPGfBP/JXvjf/AN01/wDUYu6APZqACgAoAKACgAoAKACgDxnxt/yV74If91K/9Ri0oA9moAKACgAoAKACgAoAKAPGf2g/+SQ+Lv8AuAf+pPotAHs1ABQAUAFABQAUAFABQAUAeM/Bv/mqv/ZZvHP/ALi6APZqACgAoAKACgAoAKACgDxn/m4X/ujP/u70AezUAFABQAUAFABQAUAFAHjP7Qf/ACSHxd/3AP8A1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/APqT61QB7NQAUAFABQAUAFABQAUAeM+Cf+SvfG//ALpr/wCoxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/7lKAPZqACgAoAKACgAoAKACgDjPiP/yTzx5/2Jnij/0x31AB8OP+SeeA/wDsTPC//pjsaAOzoAKACgAoAKACgAoAKAPGfBP/ACV743/901/9Ri7oA9moAKACgAoAKACgAoAKAPGfG3/JXvgh/wB1K/8AUYtKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoAKACgAoAKACgAoAKAPya+I/wDyUPx5/wBjn4o/9Pl9QB//1v7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df8AuUoA9moA/mu/a8/5OU+L3/Y0t/6brCv4s8Qv+S2z/wD7D/8A3HSP8j/HT/k7fHX/AGOpf+ouGP6KPA3/ACJPg/8A7Fbw/wD+mm0r+xMq/wCRXlv/AGAYP/1Hpn+q3Df/ACTuQf8AYlyv/wBQaB1Nd57QUAFABQAUAcZ8R/8Aknnjz/sTPFH/AKY76gA+HH/JPPAf/YmeF/8A0x2NAHZ0AFABQAUAFABQAUAFAHjPgn/kr3xv/wC6a/8AqMXdAHs1ABQAUAFABQAUAFABQB4z42/5K98EP+6lf+oxaUAezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGfg3/zVX/ss3jn/wBxdAHs1ABQAUAFABQAUAFABQB4z/zcL/3Rn/3d6APZqACgAoAKACgAoAKACgDxn9oP/kkPi7/uAf8AqT6LQB7NQAUAFABQAUAFABQAUAFAHjP7Pn/JIfCP/cf/APUn1qgD2agAoAKACgAoAKACgAoA8Z8E/wDJXvjf/wB01/8AUYu6APZqACgAoAKACgAoAKACgDxn4yf80q/7LN4G/wDcpQB7NQAUAFABQAUAFABQAUAcZ8R/+SeePP8AsTPFH/pjvqAD4cf8k88B/wDYmeF//THY0AdnQAUAFABQAUAFABQAUAeM+Cf+SvfG/wD7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM+Nv8Akr3wQ/7qV/6jFpQB7NQAUAFABQAUAFABQAUAcZ8R/wDknnjz/sTPFH/pjvqAD4cf8k88B/8AYmeF/wD0x2NAHZ0AFABQAUAFABQAUAFAH5NfEf8A5KH48/7HPxR/6fL6gD//1/7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df8AuUoA9moA/mu/a8/5OU+L3/Y0t/6brCv4s8Qv+S2z/wD7D/8A3HSP8j/HT/k7fHX/AGOpf+ouGP6KPA3/ACJPg/8A7Fbw/wD+mm0r+xMq/wCRXlv/AGAYP/1Hpn+q3Df/ACTuQf8AYlyv/wBQaB1Nd57QUAFABQAUAcZ8R/8Aknnjz/sTPFH/AKY76gA+HH/JPPAf/YmeF/8A0x2NAHZ0AFABQAUAFABQAUAFAHjPgn/kr3xv/wC6a/8AqMXdAHs1ABQAUAFABQAUAFABQB4z42/5K98EP+6lf+oxaUAezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGfg3/zVX/ss3jn/wBxdAHs1ABQAUAFABQAUAFABQB4z/zcL/3Rn/3d6APZqACgAoAKACgAoAKACgDxn9oP/kkPi7/uAf8AqT6LQB7NQAUAFABQAUAFABQAUAFAHjP7Pn/JIfCP/cf/APUn1qgD2agAoAKACgAoAKACgAoA8Z8E/wDJXvjf/wB01/8AUYu6APZqACgAoAKACgAoAKACgDxn4yf80q/7LN4G/wDcpQB7NQAUAFABQAUAFABQAUAcZ8R/+SeePP8AsTPFH/pjvqAD4cf8k88B/wDYmeF//THY0AdnQAUAFABQAUAFABQAUAeM+Cf+SvfG/wD7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM+Nv8Akr3wQ/7qV/6jFpQB7NQAUAFABQAUAFABQAUAcZ8R/wDknnjz/sTPFH/pjvqAD4cf8k88B/8AYmeF/wD0x2NAHZ0AFABQAUAFABQAUAFAH5NfEf8A5KH48/7HPxR/6fL6gD//0P7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df8AuUoA9moA/mu/a8/5OU+L3/Y0t/6brCv4s8Qv+S2z/wD7D/8A3HSP8j/HT/k7fHX/AGOpf+ouGP6KPA3/ACJPg/8A7Fbw/wD+mm0r+xMq/wCRXlv/AGAYP/1Hpn+q3Df/ACTuQf8AYlyv/wBQaB1Nd57QUAFABQAUAcZ8R/8Aknnjz/sTPFH/AKY76gA+HH/JPPAf/YmeF/8A0x2NAHZ0AFABQAUAFABQAUAFAHjPgn/kr3xv/wC6a/8AqMXdAHs1ABQAUAFABQAUAFABQB4z42/5K98EP+6lf+oxaUAezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGfg3/zVX/ss3jn/wBxdAHs1ABQAUAFABQAUAFABQB4z/zcL/3Rn/3d6APZqACgAoAKACgAoAKACgDxn9oP/kkPi7/uAf8AqT6LQB7NQAUAFABQAUAFABQAUAFAHjP7Pn/JIfCP/cf/APUn1qgD2agAoAKACgAoAKACgAoA8Z8E/wDJXvjf/wB01/8AUYu6APZqACgAoAKACgAoAKACgDxn4yf80q/7LN4G/wDcpQB7NQAUAFABQAUAFABQAUAcZ8R/+SeePP8AsTPFH/pjvqAD4cf8k88B/wDYmeF//THY0AdnQAUAFABQAUAFABQAUAeM+Cf+SvfG/wD7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM+Nv8Akr3wQ/7qV/6jFpQB7NQAUAFABQAUAFABQAUAcZ8R/wDknnjz/sTPFH/pjvqAD4cf8k88B/8AYmeF/wD0x2NAHZ0AFABQAUAFABQAUAFAH5NfEf8A5KH48/7HPxR/6fL6gD//0f7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df8AuUoA9moA/mu/a8/5OU+L3/Y0t/6brCv4s8Qv+S2z/wD7D/8A3HSP8j/HT/k7fHX/AGOpf+ouGP6KPA3/ACJPg/8A7Fbw/wD+mm0r+xMq/wCRXlv/AGAYP/1Hpn+q3Df/ACTuQf8AYlyv/wBQaB1Nd57QUAFABQAUAcZ8R/8Aknnjz/sTPFH/AKY76gA+HH/JPPAf/YmeF/8A0x2NAHZ0AFABQAUAFABQAUAFAHjPgn/kr3xv/wC6a/8AqMXdAHs1ABQAUAFABQAUAFABQB4z42/5K98EP+6lf+oxaUAezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGfg3/zVX/ss3jn/wBxdAHs1ABQAUAFABQAUAFABQB4z/zcL/3Rn/3d6APZqACgAoAKACgAoAKACgDxn9oP/kkPi7/uAf8AqT6LQB7NQAUAFABQAUAFABQAUAFAHjP7Pn/JIfCP/cf/APUn1qgD2agAoAKACgAoAKACgAoA8Z8E/wDJXvjf/wB01/8AUYu6APZqACgAoAKACgAoAKACgDxn4yf80q/7LN4G/wDcpQB7NQAUAFABQAUAFABQAUAcZ8R/+SeePP8AsTPFH/pjvqAD4cf8k88B/wDYmeF//THY0AdnQAUAFABQAUAFABQAUAeM+Cf+SvfG/wD7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM+Nv8Akr3wQ/7qV/6jFpQB7NQAUAFABQAUAFABQAUAcZ8R/wDknnjz/sTPFH/pjvqAD4cf8k88B/8AYmeF/wD0x2NAHZ0AFABQAUAFABQAUAFAH5NfEf8A5KH48/7HPxR/6fL6gD//0v7kv+Fyf9Uq+M3/AIQ//wB8qAD/AIXJ/wBUq+M3/hD/AP3yoAP+Fyf9Uq+M3/hD/wD3yoAP+Fyf9Uq+M3/hD/8A3yoAP+Fyf9Uq+M3/AIQ//wB8qAPM/wDhZf8AxeT/AISH/hX/AMTf+SZ/2N/Yf/CK/wDFQ/8AI0/bf7V/s37d/wAgb/lz+3ed/wAf3+j+V/HQB6Z/wuT/AKpV8Zv/AAh//vlQAf8AC5P+qVfGb/wh/wD75UAH/C5P+qVfGb/wh/8A75UAH/C5P+qVfGb/AMIf/wC+VAB/wuT/AKpV8Zv/AAh//vlQAf8AC5P+qVfGb/wh/wD75UAH/C5P+qVfGb/wh/8A75UAH/C5P+qVfGb/AMIf/wC+VAHmfxi+Jf8AwkHw48RaR/wr/wCJuifa/wCyP+Jp4h8K/wBm6Pa+Rrul3X+l3v26byfO8j7Pb/u28y6lgi+XfuoA9M/4XJ/1Sr4zf+EP/wDfKgA/4XJ/1Sr4zf8AhD//AHyoAP8Ahcn/AFSr4zf+EP8A/fKgA/4XJ/1Sr4zf+EP/APfKgA/4XJ/1Sr4zf+EP/wDfKgA/4XJ/1Sr4zf8AhD//AHyoAP8Ahcn/AFSr4zf+EP8A/fKgA/4XJ/1Sr4zf+EP/APfKgA/4XJ/1Sr4zf+EP/wDfKgDzP4O/Ev8A4R/4ceHdI/4V/wDE3W/sn9r/APE08PeFf7S0e68/XdUuv9Evft0PneT5/wBnuP3a+XdRTxfNs3UAemf8Lk/6pV8Zv/CH/wDvlQB/Ed/weqeN/wDhLPgb+wvD/wAIj448NfY/ix8XJPN8W6B/Y0N15vhDwuvl2cn2q48+WPbulTamxGQ5bOFAPX/+DMrx5/wiv7DX7Tln/wAIZ498SfaP2nVuPtXhTw9/bFnB/wAW08Ix+RcT/a7fy7j5N/lbT+7ZW3HdhQD+xL/hcn/VKvjN/wCEP/8AfKgA/wCFyf8AVKvjN/4Q/wD98qAD/hcn/VKvjN/4Q/8A98qAD/hcn/VKvjN/4Q//AN8qAD/hcn/VKvjN/wCEP/8AfKgDzPwt8S/sXxH+Ker/APCv/ibd/wBt/wDCD/8AErsfCvn6xpH9m6FcWv8AxPLL7cn2D7fv+0ab+8l+1WqvL8m3bQB6Z/wuT/qlXxm/8If/AO+VAB/wuT/qlXxm/wDCH/8AvlQAf8Lk/wCqVfGb/wAIf/75UAH/AAuT/qlXxm/8If8A++VAB/wuT/qlXxm/8If/AO+VAB/wuT/qlXxm/wDCH/8AvlQAf8Lk/wCqVfGb/wAIf/75UAH/AAuT/qlXxm/8If8A++VAHmfxL+Jf9s/8K/8A+Lf/ABN0r+yvib4V1n/ic+FfsP8AaX2H7f8A8SrSv9Ol+2a1eeb/AKDY/u/tHly/vV2UAemf8Lk/6pV8Zv8Awh//AL5UAfgF+1HqR1f9oD4oamdO1XSft3iLz/7O1u0+waraBtPscR3tp5kvkS4G7Z5jfIynPOK/i3xEXLxtxB/2GqX30aUu3n2dttT/ACR8douPi5xyn1zhS+UsHhZfr5fheX7r+C/jCIvB3hOMfC/4wTiPwzoKCe28FebbTBNLtV823k/tIeZDJjfE+PnRlbjNf2FlLvlWWPo8vwb+/DUvT8vuP9U+GZKXDfD8ltLJMpkvR4DDvz79/vOm/wCFyf8AVKvjN/4Q/wD98q9A9sP+Fyf9Uq+M3/hD/wD3yoAP+Fyf9Uq+M3/hD/8A3yoAP+Fyf9Uq+M3/AIQ//wB8qAD/AIXJ/wBUq+M3/hD/AP3yoA5nxr8WP7R8G+LdP/4Vr8WbD7f4Z16y+3al4O+y6dZ/atKuoPtd/c/2g/2eyt9/nXU+x/KgSSTa23FAB4K+LH9neDfCWn/8K1+LN/8AYPDOg2X27TfB32rTrz7LpVrB9rsLn+0E+0WVxs861n2J5sDxybV3YoA6b/hcn/VKvjN/4Q//AN8qAD/hcn/VKvjN/wCEP/8AfKgA/wCFyf8AVKvjN/4Q/wD98qAD/hcn/VKvjN/4Q/8A98qAD/hcn/VKvjN/4Q//AN8qAD/hcn/VKvjN/wCEP/8AfKgA/wCFyf8AVKvjN/4Q/wD98qAD/hcn/VKvjN/4Q/8A98qAPM/C3xL+xfEf4p6v/wAK/wDibd/23/wg/wDxK7Hwr5+saR/ZuhXFr/xPLL7cn2D7fv8AtGm/vJftVqry/Jt20Aemf8Lk/wCqVfGb/wAIf/75UAH/AAuT/qlXxm/8If8A++VAB/wuT/qlXxm/8If/AO+VAB/wuT/qlXxm/wDCH/8AvlQAf8Lk/wCqVfGb/wAIf/75UAH/AAuT/qlXxm/8If8A++VAB/wuT/qlXxm/8If/AO+VAB/wuT/qlXxm/wDCH/8AvlQB5n4p+Jf234j/AAs1f/hX/wATbT+xP+E4/wCJXfeFfI1jV/7S0K3tf+JHZfbn+3/YNn2jUv3kX2W1ZJfn3baAPTP+Fyf9Uq+M3/hD/wD3yoAP+Fyf9Uq+M3/hD/8A3yoAP+Fyf9Uq+M3/AIQ//wB8qAD/AIXJ/wBUq+M3/hD/AP3yoAP+Fyf9Uq+M3/hD/wD3yoAP+Fyf9Uq+M3/hD/8A3yoAP+Fyf9Uq+M3/AIQ//wB8qAD/AIXJ/wBUq+M3/hD/AP3yoA8z+MXxL/4SD4ceItI/4V/8TdE+1/2R/wATTxD4V/s3R7XyNd0u6/0u9+3TeT53kfZ7f923mXUsEXy791AHpn/C5P8AqlXxm/8ACH/++VAB/wALk/6pV8Zv/CH/APvlQAf8Lk/6pV8Zv/CH/wDvlQAf8Lk/6pV8Zv8Awh//AL5UAH/C5P8AqlXxm/8ACH/++VAB/wALk/6pV8Zv/CH/APvlQAf8Lk/6pV8Zv/CH/wDvlQAf8Lk/6pV8Zv8Awh//AL5UAH/C5P8AqlXxm/8ACH/++VAHmfw0+Jf9jf8ACwP+Lf8AxN1X+1fib4q1n/iTeFft39m/bvsH/Eq1X/TovsetWflf6dY/vPs/mRfvW30Aemf8Lk/6pV8Zv/CH/wDvlQAf8Lk/6pV8Zv8Awh//AL5UAH/C5P8AqlXxm/8ACH/++VAB/wALk/6pV8Zv/CH/APvlQAf8Lk/6pV8Zv/CH/wDvlQAf8Lk/6pV8Zv8Awh//AL5UAH/C5P8AqlXxm/8ACH/++VAB/wALk/6pV8Zv/CH/APvlQB5n/wALL/4vJ/wkP/Cv/ib/AMkz/sb+w/8AhFf+Kh/5Gn7b/av9m/bv+QN/y5/bvO/4/v8AR/K/joA9M/4XJ/1Sr4zf+EP/APfKgA/4XJ/1Sr4zf+EP/wDfKgA/4XJ/1Sr4zf8AhD//AHyoAP8Ahcn/AFSr4zf+EP8A/fKgA/4XJ/1Sr4zf+EP/APfKgA/4XJ/1Sr4zf+EP/wDfKgA/4XJ/1Sr4zf8AhD//AHyoAP8Ahcn/AFSr4zf+EP8A/fKgDzP4xfEv/hIPhx4i0j/hX/xN0T7X/ZH/ABNPEPhX+zdHtfI13S7r/S737dN5PneR9nt/3beZdSwRfLv3UAemf8Lk/wCqVfGb/wAIf/75UAH/AAuT/qlXxm/8If8A++VAB/wuT/qlXxm/8If/AO+VAB/wuT/qlXxm/wDCH/8AvlQAf8Lk/wCqVfGb/wAIf/75UAH/AAuT/qlXxm/8If8A++VAB/wuT/qlXxm/8If/AO+VAB/wuT/qlXxm/wDCH/8AvlQAf8Lk/wCqVfGb/wAIf/75UAeZ/B34l/8ACP8Aw48O6R/wr/4m639k/tf/AImnh7wr/aWj3Xn67ql1/ol79uh87yfP+z3H7tfLuop4vm2bqAPTP+Fyf9Uq+M3/AIQ//wB8qAD/AIXJ/wBUq+M3/hD/AP3yoAP+Fyf9Uq+M3/hD/wD3yoAP+Fyf9Uq+M3/hD/8A3yoAP+Fyf9Uq+M3/AIQ//wB8qAD/AIXJ/wBUq+M3/hD/AP3yoAP+Fyf9Uq+M3/hD/wD3yoAP+Fyf9Uq+M3/hD/8A3yoA8z8LfEv7F8R/inq//Cv/AIm3f9t/8IP/AMSux8K+frGkf2boVxa/8Tyy+3J9g+37/tGm/vJftVqry/Jt20Aemf8AC5P+qVfGb/wh/wD75UAH/C5P+qVfGb/wh/8A75UAH/C5P+qVfGb/AMIf/wC+VAB/wuT/AKpV8Zv/AAh//vlQAf8AC5P+qVfGb/wh/wD75UAH/C5P+qVfGb/wh/8A75UAH/C5P+qVfGb/AMIf/wC+VAB/wuT/AKpV8Zv/AAh//vlQB5n8S/iX/bP/AAr/AP4t/wDE3Sv7K+JvhXWf+Jz4V+w/2l9h+3/8SrSv9Ol+2a1eeb/oNj+7+0eXL+9XZQB6Z/wuT/qlXxm/8If/AO+VAB/wuT/qlXxm/wDCH/8AvlQAf8Lk/wCqVfGb/wAIf/75UAH/AAuT/qlXxm/8If8A++VAB/wuT/qlXxm/8If/AO+VAB/wuT/qlXxm/wDCH/8AvlQAf8Lk/wCqVfGb/wAIf/75UAH/AAuT/qlXxm/8If8A++VAHM+Nfix/aPg3xbp//CtfizYfb/DOvWX27UvB32XTrP7VpV1B9rv7n+0H+z2Vvv8AOup9j+VAkkm1tuKADwV8WP7O8G+EtP8A+Fa/Fm/+weGdBsvt2m+DvtWnXn2XSrWD7XYXP9oJ9osrjZ51rPsTzYHjk2ruxQB03/C5P+qVfGb/AMIf/wC+VAB/wuT/AKpV8Zv/AAh//vlQAf8AC5P+qVfGb/wh/wD75UAH/C5P+qVfGb/wh/8A75UAH/C5P+qVfGb/AMIf/wC+VAB/wuT/AKpV8Zv/AAh//vlQAf8AC5P+qVfGb/wh/wD75UAH/C5P+qVfGb/wh/8A75UAeZ+FviX9i+I/xT1f/hX/AMTbv+2/+EH/AOJXY+FfP1jSP7N0K4tf+J5Zfbk+wfb9/wBo0395L9qtVeX5Nu2gD0z/AIXJ/wBUq+M3/hD/AP3yoAP+Fyf9Uq+M3/hD/wD3yoAP+Fyf9Uq+M3/hD/8A3yoAP+Fyf9Uq+M3/AIQ//wB8qAD/AIXJ/wBUq+M3/hD/AP3yoAP+Fyf9Uq+M3/hD/wD3yoAP+Fyf9Uq+M3/hD/8A3yoAP+Fyf9Uq+M3/AIQ//wB8qAPM/FPxL+2/Ef4Wav8A8K/+Jtp/Yn/Ccf8AErvvCvkaxq/9paFb2v8AxI7L7c/2/wCwbPtGpfvIvstqyS/Pu20Aemf8Lk/6pV8Zv/CH/wDvlQAf8Lk/6pV8Zv8Awh//AL5UAH/C5P8AqlXxm/8ACH/++VAB/wALk/6pV8Zv/CH/APvlQAf8Lk/6pV8Zv/CH/wDvlQAf8Lk/6pV8Zv8Awh//AL5UAH/C5P8AqlXxm/8ACH/++VAB/wALk/6pV8Zv/CH/APvlQBzPjX4sf2j4N8W6f/wrX4s2H2/wzr1l9u1Lwd9l06z+1aVdQfa7+5/tB/s9lb7/ADrqfY/lQJJJtbbigA8FfFj+zvBvhLT/APhWvxZv/sHhnQbL7dpvg77Vp159l0q1g+12Fz/aCfaLK42edaz7E82B45Nq7sUAdN/wuT/qlXxm/wDCH/8AvlQAf8Lk/wCqVfGb/wAIf/75UAH/AAuT/qlXxm/8If8A++VAB/wuT/qlXxm/8If/AO+VAB/wuT/qlXxm/wDCH/8AvlQAf8Lk/wCqVfGb/wAIf/75UAH/AAuT/qlXxm/8If8A++VAB/wuT/qlXxm/8If/AO+VAH55+Nb3+0fGXi3UPsl7Yfb/ABNr179h1KD7LqNn9q1W6n+yX9tuf7Pe2+/ybqDe/lTpJHubbmgD/9P+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqAP50v24NJk0n9pj4i7841KbRtWjJGMx3uh6eeOmQHjcA+3fGa/jjxRw7w/G2cX/5fSw2IXpVw1J+XVNfLrZM/wApvpF4GWB8XuK+a9sXPAY6N+scRl2Fem2l4tfLW7uz93/grqya78IfhjqyEFb3wL4Xk+XpuXR7SJwPo8bA+/Hav6r4ZxCxXD2SYhbVcqwMvmsNTT77NNf5bH+lPh7jo5lwLwfjo2tiOG8nlpteOAoQkuu0otf5bHp1e4fYBQAUAFABQBxnxH/5J548/wCxM8Uf+mO+oAPhx/yTzwH/ANiZ4X/9MdjQB2dABQAUAFABQAUAFABQB4z4J/5K98b/APumv/qMXdAHs1ABQAUAFABQAUAFABQB4z42/wCSvfBD/upX/qMWlAHs1ABQAUAFABQAUAFABQB4z+0H/wAkh8Xf9wD/ANSfRaAPZqACgAoAKACgAoAKACgAoA8Z+Df/ADVX/ss3jn/3F0AezUAFABQAUAFABQAUAFAHjP8AzcL/AN0Z/wDd3oA9moAKACgAoAKACgAoAKAPGf2g/wDkkPi7/uAf+pPotAHs1ABQAUAFABQAUAFABQAUAeM/s+f8kh8I/wDcf/8AUn1qgD2agAoAKACgAoAKACgAoA8Z8E/8le+N/wD3TX/1GLugD2agAoAKACgAoAKACgAoA8Z+Mn/NKv8Ass3gb/3KUAezUAFABQAUAFABQAUAFAHGfEf/AJJ548/7EzxR/wCmO+oAPhx/yTzwH/2Jnhf/ANMdjQB2dABQAUAFABQAUAFABQB4z4J/5K98b/8Aumv/AKjF3QB7NQAUAFABQAUAFABQAUAeM+Nv+SvfBD/upX/qMWlAHs1ABQAUAFABQAUAFABQBxnxH/5J548/7EzxR/6Y76gA+HH/ACTzwH/2Jnhf/wBMdjQB2dABQAUAFABQAUAFABQB+TXxH/5KH48/7HPxR/6fL6gD/9T+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezEgAknAHJJ6Aep6dPr+VAH8KP/B7zqem3XwQ/YQsrbULG4vLf4s/GGSe0gu4JbmFP+EP8KJvlgjkaWNN5C7nUDdxnJoA9z/4Mn/+TDv2pf8As6VP/VYeD/8AP/66AP7O6ACgAoAKACgDxnwT/wAle+N//dNf/UYu6APZqACgAoAKACgAoAKACgDxn4yf80q/7LN4G/8AcpQB7NQB+FP/AAUl0NtP+OmkaztITxB4H0qTdjhpdMvNQsJOe5EawA9wMdiK/lfxpwvseKcNibaYzK6EvWVCrVov10Uf6uf5ufS2y54XxIwOPtaOacO4Kd/5p4SvicNL1ajGC+4/S/8AYr11de/Zq+Gkm/e+maff6HKc5IbStVvrZFPQgrAIgAe2OuQa/bfDPFfW+Cskle7oUauFl1s8PXqwS+UOXtp6Jy/rv6PmZLMvCPhGV7yweFxOWz1vZ4LG4ilFPfVU1Belttj6nr7s/aAoAKACgAoA4z4j/wDJPPHn/YmeKP8A0x31AB8OP+SeeA/+xM8L/wDpjsaAOzoAKACgAoAKACgAoAKAPGfBP/JXvjf/AN01/wDUYu6APZqACgAoAKACgAoAKACgDxnxt/yV74If91K/9Ri0oA9moAKACgAoAKACgAoAKAPGf2g/+SQ+Lv8AuAf+pPotAHs1ABQAUAFABQAUAFABQAUAeM/Bv/mqv/ZZvHP/ALi6APZqACgAoAKACgAoAKACgDxn/m4X/ujP/u70AezUAFABQAUAFABQAUAFAHjP7Qf/ACSHxd/3AP8A1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/APqT61QB7NQAUAFABQAUAFABQAUAeM+Cf+SvfG//ALpr/wCoxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/7lKAPZqACgAoAKACgAoAKACgDjPiP/yTzx5/2Jnij/0x31AB8OP+SeeA/wDsTPC//pjsaAOzoAKACgAoAKACgAoAKAPGfBP/ACV743/901/9Ri7oA9moAKACgAoAKACgAoAKAPGfG3/JXvgh/wB1K/8AUYtKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoAKACgAoAKACgAoAKAPya+I/wDyUPx5/wBjn4o/9Pl9QB//1f7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB4T/wAFMtP8Wat/wTf/AOCgeleArPxBqHjrU/2I/wBq3T/Ben+E4dQufFV94svfgR49tvDln4Zt9JVtVn8QXOsS2cOjQ6YrahLqL20dkpuWiDAH+Mb+0L+zJ+2Z8FdE8LeNf2ovg38evhxovjPUL/TfCOvfGfwz4v0FNf1KxtobzUbXSZvFsUVxdXFtaz2890sQJSOSNnJDLtAP77/+DJHTtag/Y3/bG1O51ITaBf8A7SPhm20jSMc2Gpad8NdNbW9QLY6apBfaLbhNx2nSS21fM3OAf2v0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agD8kP8AgqH4f4+E/ilV7+I/D8r/AIWOowKfyuSvP97riv588dMHpkGPS0X1zCSfr7KtBP7p/wBM/hv6ZGV/8kRnSX/Q2yucrf8AYLi6Sb/8HNK3fc9e/wCCa3iH+0vgnr+gs2W8N+N78KvdYNXsbG+TuTtMy3BHC878Z5r6HwVxnt+GMXhG7vBZnVSXaOIpUqq+XMp+nzPu/oj5p9b8PMzy1yvLKeIsSkv5aeOw2HxEfk6irPfe+x+iNfsR/VIUAFABQAUAcZ8R/wDknnjz/sTPFH/pjvqAD4cf8k88B/8AYmeF/wD0x2NAHZ0AFABQAUAFABQAUAFAHjPgn/kr3xv/AO6a/wDqMXdAHs1ABQAUAFABQAUAFABQB4z42/5K98EP+6lf+oxaUAezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/cA/8AUn0WgD2agAoAKACgAoAKACgAoAKAPGfg3/zVX/ss3jn/ANxdAHs1ABQAUAFABQAUAFABQB4z/wA3C/8AdGf/AHd6APZqACgAoAKACgAoAKACgDxn9oP/AJJD4u/7gH/qT6LQB7NQAUAFABQAUAFABQAUAFAHjP7Pn/JIfCP/AHH/AP1J9aoA9moAKACgAoAKACgAoAKAPGfBP/JXvjf/AN01/wDUYu6APZqACgAoAKACgAoAKACgDxn4yf8ANKv+yzeBv/cpQB7NQAUAFABQAUAFABQAUAcZ8R/+SeePP+xM8Uf+mO+oAPhx/wAk88B/9iZ4X/8ATHY0AdnQAUAFABQAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM+Nv+SvfBD/ALqV/wCoxaUAezUAFABQAUAFABQAUAFAHGfEf/knnjz/ALEzxR/6Y76gA+HH/JPPAf8A2Jnhf/0x2NAHZ0AFABQAUAFABQAUAFAH5NfEf/kofjz/ALHPxR/6fL6gD//W/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agD8/f8AgpBoA1P4DWOshA0nhvxpo9zu7pBqNve6bKQfQyT24PXPtjNfkfjPhFX4TpYm15YLM8NP0jWjVoy/GUev36n8v/SzyxYzw0w2YJXnlPEGAq36qni6WIwk/lz1KV/keCf8EvNeYaj8V/DDMdkll4d16Ne26Ge+0+dgPUi4tweOw6V8n4F4tqtn+BvpKng8Wl5xlVoyf3Tj09baH5n9DfM5LF8bZM2+WeHyrM4LpzU6mJwtRrztVpJ6dtz9fa/og/uwKACgAoAKAOM+I/8AyTzx5/2Jnij/ANMd9QAfDj/knngP/sTPC/8A6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/wDdNf8A1GLugD2agAoAKACgAoAKACgAoA8Z8bf8le+CH/dSv/UYtKAPZqACgAoAKACgAoAKACgDxn9oP/kkPi7/ALgH/qT6LQB7NQAUAFABQAUAFABQAUAFAHjPwb/5qr/2Wbxz/wC4ugD2agAoAKACgAoAKACgAoA8Z/5uF/7oz/7u9AHs1ABQAUAFABQAUAFABQB4z+0H/wAkh8Xf9wD/ANSfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j/wD6k+tUAezUAFABQAUAFABQAUAFAHjPgn/kr3xv/wC6a/8AqMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df+5SgD2agAoAKACgAoAKACgAoA4z4j/8k88ef9iZ4o/9Md9QAfDj/knngP8A7Ezwv/6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/wAle+N//dNf/UYu6APZqACgAoAKACgAoAKACgDxnxt/yV74If8AdSv/AFGLSgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgD8mviP8A8lD8ef8AY5+KP/T5fUAf/9f+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqAPlj9tTRxrP7NHxNTbubT9O07WE4zg6ZrFhcOw6crEshz2GevSvhPEzDrE8E54rXdGjSxC9aGIpTv02V/wDg7H4x9IPAfX/CLjCNrvC4XC49dbfU8fhqsn8oKV/K/Zn5of8ABNnWfsPx01jSScLrngbVYwP70mn32m3q/UhFlP0zX4l4K4n2XFOJw99MVlddW7ujVo1F9yUun3H8h/RJzD6t4kY/BN2WZcOY2KXeWFxOExC6q7UVN7PrtqfutX9UH+kYUAFABQAUAcZ8R/8Aknnjz/sTPFH/AKY76gA+HH/JPPAf/YmeF/8A0x2NAHZ0AFABQAUAFABQAUAFAHjPgn/kr3xv/wC6a/8AqMXdAHs1ABQAUAFABQAUAFABQB4z42/5K98EP+6lf+oxaUAezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGfg3/zVX/ss3jn/wBxdAHs1ABQAUAFABQAUAFABQB4z/zcL/3Rn/3d6APZqACgAoAKACgAoAKACgDxn9oP/kkPi7/uAf8AqT6LQB7NQAUAFABQAUAFABQAUAFAHjP7Pn/JIfCP/cf/APUn1qgD2agAoAKACgAoAKACgAoA8Z8E/wDJXvjf/wB01/8AUYu6APZqACgAoAKACgAoAKACgDxn4yf80q/7LN4G/wDcpQB7NQAUAFABQAUAFABQAUAcZ8R/+SeePP8AsTPFH/pjvqAD4cf8k88B/wDYmeF//THY0AdnQAUAFABQAUAFABQAUAeM+Cf+SvfG/wD7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM+Nv8Akr3wQ/7qV/6jFpQB7NQAUAFABQAUAFABQAUAcZ8R/wDknnjz/sTPFH/pjvqAD4cf8k88B/8AYmeF/wD0x2NAHZ0AFABQAUAFABQAUAFAH5NfEf8A5KH48/7HPxR/6fL6gD//0P7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df8AuUoA9moA4H4qeF08bfDXx34TcEnxB4U1zTYwv3vtFxp862xGMci48o/h36V5OfYBZnkua5e1f63gMVQiv786MuT/AMn5T5njPJo8Q8JcSZJJN/2nkuY4SCW/tauGqKjbbaryPf7j+fP9k7xZJ8PP2jPh5e3khtIZtffwtqu/5dkOuJLo8iSZ/wCed1PCxHGDH7Yb+Q+AMfLJ+MsnqVH7OMsW8BiL6WjilLDyT16TlFvV/D6OP+XXgjnc+FvFfhbEV5OhCpmcsmxt9OWnmMZ4CcZb/DWqQbX93pa5/SVX9pH+tYUAFABQAUAcZ8R/+SeePP8AsTPFH/pjvqAD4cf8k88B/wDYmeF//THY0AdnQAUAFABQAUAFABQAUAeM+Cf+SvfG/wD7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM+Nv8Akr3wQ/7qV/6jFpQB7NQAUAFABQAUAFABQAUAeM/tB/8AJIfF3/cA/wDUn0WgD2agAoAKACgAoAKACgAoAKAPGfg3/wA1V/7LN45/9xdAHs1ABQAUAFABQAUAFABQB4z/AM3C/wDdGf8A3d6APZqACgAoAKACgAoAKACgDxn9oP8A5JD4u/7gH/qT6LQB7NQAUAFABQAUAFABQAUAFAHjP7Pn/JIfCP8A3H//AFJ9aoA9moAKACgAoAKACgAoAKAPGfBP/JXvjf8A901/9Ri7oA9moAKACgAoAKACgAoAKAPGfjJ/zSr/ALLN4G/9ylAHs1ABQAUAFABQAUAFABQBxnxH/wCSeePP+xM8Uf8ApjvqAD4cf8k88B/9iZ4X/wDTHY0AdnQAUAFABQAUAFABQAUAeM+Cf+SvfG//ALpr/wCoxd0AezUAFABQAUAFABQAUAFAHjPjb/kr3wQ/7qV/6jFpQB7NQAUAFABQAUAFABQAUAcZ8R/+SeePP+xM8Uf+mO+oAPhx/wAk88B/9iZ4X/8ATHY0AdnQAUAFABQAUAFABQAUAfk18R/+Sh+PP+xz8Uf+ny+oA//R/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoA/mc/aC8Pz/DH9obx/YWStAdH8bza7pJ+4BBeXUWvae6YzhVFzGq4HGzAziv4l4vwc8i4wzalTTh9WzOWLw77QqVI4qi1v0muulra2P8hfFDK6nB3inxPhsPF0vqHEVTMsD0tTxFaGZ4WUbbJKtBK23L5H9HvgvX4fFfhDwv4mgdXi1/w/pGrqynIzqFhBcsMjPKvKyn3U9MYr+zctxccfl2Bx0GnHF4TD4lNbfvqUaj77OVv8rWP9Y+H8zhnWRZNm9NqUMzyvA45OLuv9qw1Ks1ddpTa6bbLY6au09cKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/APdNf/UYu6APZqACgAoAKACgAoAKACgDxnxt/wAle+CH/dSv/UYtKAPZqACgAoAKACgAoAKACgDxn9oP/kkPi7/uAf8AqT6LQB7NQAUAFABQAUAFABQAUAFAHjPwb/5qr/2Wbxz/AO4ugD2agAoAKACgAoAKACgAoA8Z/wCbhf8AujP/ALu9AHs1ABQAUAFABQAUAFABQB4z+0H/AMkh8Xf9wD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/ALj/AP6k+tUAezUAFABQAUAFABQAUAFAHjPgn/kr3xv/AO6a/wDqMXdAHs1ABQAUAFABQAUAFABQB4z8ZP8AmlX/AGWbwN/7lKAPZqACgAoAKACgAoAKACgDjPiP/wAk88ef9iZ4o/8ATHfUAHw4/wCSeeA/+xM8L/8ApjsaAOzoAKACgAoAKACgAoAKAPGfBP8AyV743/8AdNf/AFGLugD2agAoAKACgAoAKACgAoA8Z8bf8le+CH/dSv8A1GLSgD2agAoAKACgAoAKACgAoA4z4j/8k88ef9iZ4o/9Md9QAfDj/knngP8A7Ezwv/6Y7GgDs6ACgAoAKACgAoAKACgD8mviP/yUPx5/2Ofij/0+X1AH/9L+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQB4p+0N8e/An7NHwn8S/F/wCIkt6vh3w4lrELPTIVuNT1bVNRuEtNM0nT4pHiiN1e3UioHmlihhiWWaRisexvMzjNsJkmX18xxjkqNHlXLBXnUqTfLTpwTsuaUn1dkrvQ/S/CLwp4p8aePcl8PeD6eGecZxKvN4jG1JUcFgMDhKMsRjcfi6kIVKioYahBycaVOdSpNwpwinPmPmj9j3/go58C/wBsS81Pw54ZXVfA3j/ThJcp4H8XzacupavpcfLaloV1ZXEtrqi245vrSLbd2alJXjaEl18PhzjPKuJJVKND2mFxcLy+q4hw56lNfbpSi3Gpb7cUlKO7uj9p+kR9DnxR+jth8FnOdvA8UcJ41woS4n4ep4yWCy/HT+HB5rQxNGnXwMqu2Fr1E8PiGpU41Y1UoS/QKvrz+SwoA8Z/aD/5JD4u/wC4B/6k+i0AezUAcH8Rfih8O/hH4bufF/xN8Z+HvA/hu0yJtW8RalBp1szgZ8m3EredeXJHK21pFPcOBlYiATXJjcdg8uoSxOOxNHC0I71K01CN+0b6yl/dipSPquD+B+L/ABAzmhw9wTw5m/E+c4izp5fk+Cq4yso3t7Ss6aVPD0U9JV8RUpUYuyc1cz/hZ8ZfhZ8bvDp8V/Cbx34d8e+H0uDaz6h4fv0uhaXQBP2a+tzsu7G4IBZYbyCCR1BZFZRvqMBmWAzSj9Yy/F0cXRvyudGXNyy/llH4oO3SSi+p18deHPHXhlnCyHj7hbOOFc2lSVelhM3wsqDxFB2/fYWsubD4qkm0pVMPVqxjJpScZOx6ZXcfFBQAUAFABQAUAeM/s+f8kh8I/wDcf/8AUn1qgD2agD+F/wD4PgP+SD/sF/8AZXPjD/6hvhSgD2X/AIMn/wDkw79qT/s6Vf8A1WHg+gD+zugAoAKACgAoA8Z8E/8AJXvjf/3TX/1GLugD2agAoAKACgAoAKACgAoA8Z+Mn/NKv+yzeBv/AHKUAezUAFAH4Y/8FJvBzaL8Z9E8WRpi28ZeFLXewXC/2hoEz6fcAkIAXNpJYMcsxI9MV/LXjTlrw3EmFzBL3MywFO7/AOn2Fk6Uk+79m6T0e3c/zh+ltkLy/j/Ls7hFqln+SUXNqNo/WstqSwtROWzk6EsM+9vRH6HfsL+N4/GX7OvhCBpkkvvCL33hO9j3hpY102cyae0oyWXzNOuLYx7gNyrx0av2HwszRZlwdl0XJSq5e6uX1Vdc0fYzvS5lur0Zwte17aXtc/qf6N/EUc/8KcipupGWJyOWIyTER5rzgsJVcsK5rdc+Eq0XG97pabNR+wK/RD93CgAoAKAOM+I//JPPHn/YmeKP/THfUAHw4/5J54D/AOxM8L/+mOxoA7OgAoAKACgAoAKACgAoA8Z8E/8AJXvjf/3TX/1GLugD2agAoAKACgAoAKACgAoA8Z8bf8le+CH/AHUr/wBRi0oA9moAKACgAoAKACgAoAKAPGf2g/8AkkPi7/uAf+pPotAHs1ABQAUAFABQAUAFABQAUAeM/Bv/AJqr/wBlm8c/+4ugD2agAoAKACgAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAFABQAUAFABQAUAFAHjPgn/kr3xv8A+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/7lKAPZqACgAoAKACgAoAKACgDjPiP/AMk88ef9iZ4o/wDTHfUAHw4/5J54D/7Ezwv/AOmOxoA7OgAoAKACgAoAKACgAoA8Z8E/8le+N/8A3TX/ANRi7oA9moAKACgAoAKACgAoAKAPGfG3/JXvgh/3Ur/1GLSgD2agAoAKACgAoAKACgAoA4z4j/8AJPPHn/YmeKP/AEx31AB8OP8AknngP/sTPC//AKY7GgDs6ACgAoAKACgAoAKACgD8mviP/wAlD8ef9jn4o/8AT5fUAf/T/vF/4WP8PP8AofPBn/hT6H/8nUAH/Cx/h5/0Pngz/wAKfQ//AJOoAP8AhY/w8/6HzwZ/4U+h/wDydQAf8LH+Hn/Q+eDP/Cn0P/5OoAP+Fj/Dz/ofPBn/AIU+h/8AydQB5N/wmvg3/hev9r/8Jb4Z/sn/AIVN/Zv9qf29pX9nf2j/AMJh9p+wfbftf2b7b9m/0j7L5vn+R+98vy/moA9Z/wCFj/Dz/ofPBn/hT6H/APJ1AB/wsf4ef9D54M/8KfQ//k6gA/4WP8PP+h88Gf8AhT6H/wDJ1AB/wsf4ef8AQ+eDP/Cn0P8A+TqAPEP2i/BXwG/aZ+Efin4PePvHXhZND8SQwSQ6hYeKtCTUNG1jT5lu9J1mxL3xjeewu40k8mYGK4hMsD7RJvXy85yjC55l2Iy3FqXsq6TU4aTpVIPmp1YX0bhKzs9Grrqfp3g94r8TeCniDkXiHwo6EszyapVhUwmLi5YTMsuxdN0Mfl2J5XGcaWLw8pQ9pTkp0qihVjzOHJL+Mzx14Z+If7Ef7TL22g+IrafxN8LfFdrrfhDxfotxFPpfiLSo5Rc6XqcElrNPE9lq+nsbXUrPzWaJnvLGRtyF2/mTHYTMOEs9dNTcMTgK8auGrpNRrUr81OolpeFSGk43dvei5aXP+lTgnivgH6VvgbHH1MLSxfDnHOSYnKeIMmqTjVr5PmXJ7HH4CpKy5MXluLSr4Svy+8o4bExSUrH9kf7Mf7X/AMKP2jvg54T+Jtj4q8M6Bqep2Udt4o8Manr2mWeo+HPEtoix6rps9td3UU/kCfM+n3BQx3VjLBKkjnft/pXh/OsNn+WYfMMO0nNclelf3qNeOlSnJau1/eg38UHF6XaP+cPx78GeIPAnxKz3gLPYVKlHCV5YrIc1dNxoZ1kWInKWAzCjKyi5un+5xVNWdHFUqtNwilA9/wD+Fj/Dz/ofPBn/AIU+h/8AydXtH4yeTfHLxr4N1f4W+KNP0rxb4Z1O/uP7E8ix0/XtKvbyfyvEWkTy+TbW13LNJ5cMUk0mxG2RRvI2EVmoAqfHr9rT4Jfs/fDPxD8SvFfjbw7qFvpFs40zQNF13Sr/AFzxHrEiP9g0bSrS3uppXnu5QBJOyGCztxLcznYgVvKzrOMHkWArY/Gz5YU1anTVvaV6r+ClTWl5Se72jG8ndJo/U/Bzwh4u8buO8p4E4Owjq4zHVFUx+PqRn9RyXK6co/W81zCpFPkoYeD9yGk69ZwoU/fnc/i//ap/a2+LX7W3j+78ZfEbWZhpNtc3K+EvBlnLJH4d8J6W7t5FpYWeRHLeeSVW91SdWvL2XzJHZEYQp/MWf8Q5hxDjJYnGVH7OMpLD4aL/AHOHp30jCOzk18c2nKTu72do/wDS74E+AHAPgBwnh+HODstpvH1qNF5/xJiKcJZxn+OjGPtcRi8RZyp4f2l3hsDSccPhqfLGMJTTmftr/wAENfBsXgXwZ8V/i34t8aaN4f0jx3e6V4Z8N+G9V17TrBrxPDT3NxqPiRrK7vIZEDXF6NLtJzDidILorIUVQ36t4U5ZiKOEx+aVJSjQxk4UKFN7T9g5Odbf+aXs4u2tpa9D/LP9qZ4j5BnHFfAvhrl9HD4jOuEcLjc7zzMYcrrYN55Tw8MDk7mo31w+H/tCtTc/cdaheEXJuX73/wDCx/h5/wBD54M/8KfQ/wD5Or9cP8mw/wCFj/Dz/ofPBn/hT6H/APJ1AB/wsf4ef9D54M/8KfQ//k6gA/4WP8PP+h88Gf8AhT6H/wDJ1AB/wsf4ef8AQ+eDP/Cn0P8A+TqAD/hY/wAPP+h88Gf+FPof/wAnUAeTfA3xr4N0j4W+F9P1Xxb4Z0y/t/7b8+x1DXtKsryDzfEWrzxedbXN3FNH5kMsc0e9F3xSJIuUZWoA9Z/4WP8ADz/ofPBn/hT6H/8AJ1AH8O3/AAe1eJvDev8AwK/YRj0LxDoetyW3xa+Lz3CaTq1hqLwI/g7wsqPMtncTtErsCFZwoYqQMkGgD2P/AIMtPFXhfQf2FP2oLfXPEmg6LcTftQrNFBq2sadp00sX/CsvCCebHFeXMLvHuUrvVWXcpGchgoB/ZN/wsf4ef9D54M/8KfQ//k6gA/4WP8PP+h88Gf8AhT6H/wDJ1AB/wsf4ef8AQ+eDP/Cn0P8A+TqAD/hY/wAPP+h88Gf+FPof/wAnUAH/AAsf4ef9D54M/wDCn0P/AOTqAPJvCHjXwbbfFL4w6hc+LfDNvYan/wAK+/s2+n17SorPUPsXh26gvPsNzJdrDd/ZJmWG58h5PIlYRy7XO2gD1n/hY/w8/wCh88Gf+FPof/ydQAf8LH+Hn/Q+eDP/AAp9D/8Ak6gA/wCFj/Dz/ofPBn/hT6H/APJ1AB/wsf4ef9D54M/8KfQ//k6gA/4WP8PP+h88Gf8AhT6H/wDJ1AB/wsf4ef8AQ+eDP/Cn0P8A+TqAD/hY/wAPP+h88Gf+FPof/wAnUAH/AAsf4ef9D54M/wDCn0P/AOTqAPJvix418G6j/wAK1/s/xb4Zv/sHxZ8G6lffYte0q6+x6da/2l9pv7vyLuT7PZW/mJ591Nsgi3r5ki7huAPWf+Fj/Dz/AKHzwZ/4U+h//J1AB/wsf4ef9D54M/8ACn0P/wCTqAPiD9vTSPA3xM+Db6zonivwnqPifwFfrrdhb2XiDR7m9u9LuAlprNnBBBePPcP5JhvEhjVyWsyVQnJX8t8W8h/tbhipjKMObFZNU+uQsrylhpWhioKyu7Q5atl/z715d5fzj9J3gt8T+HlXNsLSdTMeFK/9qU+SLdSeAmlRzKmlG8pKNL2eJ5f+odtW95nx/wD8E8/jPYeAfiFrXgXxJqttpfhzx1ZrNa3WoXUVpYWfiPSUke2aWecpFEb+ya4tdzuitLHbITkrX5d4NcQf2fndfJa87YfN4J0bv3Y42gpOml51abnDreUYrreP85fRR44jkfF+M4SxlXkwXFVGLwilK0IZxgoznRSX8+KwzrUVrrOFJO90fs//AMLH+Hn/AEPngz/wp9D/APk6v6jP9Gw/4WP8PP8AofPBn/hT6H/8nUAH/Cx/h5/0Pngz/wAKfQ//AJOoAP8AhY/w8/6HzwZ/4U+h/wDydQByXj7x94FvPAvjWzs/GvhK7u7rwl4jtrW1tvEejz3FzcT6PexQW9vDFetLNNNI6xxRRqzyOyoiliAwAeAfH3gWz8C+CrO88a+ErS7tfCXhy2urW58R6PBcW1xBo9lFPb3EMt6ssM0MiNHLFIqvG6sjqGBCgHW/8LH+Hn/Q+eDP/Cn0P/5OoAP+Fj/Dz/ofPBn/AIU+h/8AydQAf8LH+Hn/AEPngz/wp9D/APk6gA/4WP8ADz/ofPBn/hT6H/8AJ1AB/wALH+Hn/Q+eDP8Awp9D/wDk6gA/4WP8PP8AofPBn/hT6H/8nUAH/Cx/h5/0Pngz/wAKfQ//AJOoAP8AhY/w8/6HzwZ/4U+h/wDydQB5N4Q8a+Dbb4pfGHULnxb4Zt7DU/8AhX39m30+vaVFZ6h9i8O3UF59huZLtYbv7JMyw3PkPJ5ErCOXa520Aes/8LH+Hn/Q+eDP/Cn0P/5OoAP+Fj/Dz/ofPBn/AIU+h/8AydQAf8LH+Hn/AEPngz/wp9D/APk6gA/4WP8ADz/ofPBn/hT6H/8AJ1AB/wALH+Hn/Q+eDP8Awp9D/wDk6gA/4WP8PP8AofPBn/hT6H/8nUAH/Cx/h5/0Pngz/wAKfQ//AJOoAP8AhY/w8/6HzwZ/4U+h/wDydQB5N4v8a+Dbn4pfB7ULbxb4ZuLDTP8AhYP9pX0GvaVLZ6f9t8O2sFn9uuY7tobT7XMrQ23nvH58qmOLc420Aes/8LH+Hn/Q+eDP/Cn0P/5OoAP+Fj/Dz/ofPBn/AIU+h/8AydQAf8LH+Hn/AEPngz/wp9D/APk6gA/4WP8ADz/ofPBn/hT6H/8AJ1AB/wALH+Hn/Q+eDP8Awp9D/wDk6gA/4WP8PP8AofPBn/hT6H/8nUAH/Cx/h5/0Pngz/wAKfQ//AJOoAP8AhY/w8/6HzwZ/4U+h/wDydQB5N8cvGvg3V/hb4o0/SvFvhnU7+4/sTyLHT9e0q9vJ/K8RaRPL5NtbXcs0nlwxSTSbEbZFG8jYRWagD1n/AIWP8PP+h88Gf+FPof8A8nUAH/Cx/h5/0Pngz/wp9D/+TqAD/hY/w8/6HzwZ/wCFPof/AMnUAH/Cx/h5/wBD54M/8KfQ/wD5OoAP+Fj/AA8/6HzwZ/4U+h//ACdQAf8ACx/h5/0Pngz/AMKfQ/8A5OoAP+Fj/Dz/AKHzwZ/4U+h//J1AB/wsf4ef9D54M/8ACn0P/wCTqAD/AIWP8PP+h88Gf+FPof8A8nUAeTfCfxr4N07/AIWV/aHi3wzYfb/iz4y1Kx+269pVr9s066/s37Nf2nn3cf2iyuPLfyLqHfBLsby5G2naAes/8LH+Hn/Q+eDP/Cn0P/5OoAP+Fj/Dz/ofPBn/AIU+h/8AydQAf8LH+Hn/AEPngz/wp9D/APk6gA/4WP8ADz/ofPBn/hT6H/8AJ1AB/wALH+Hn/Q+eDP8Awp9D/wDk6gA/4WP8PP8AofPBn/hT6H/8nUAH/Cx/h5/0Pngz/wAKfQ//AJOoAP8AhY/w8/6HzwZ/4U+h/wDydQB5N/wmvg3/AIXr/a//AAlvhn+yf+FTf2b/AGp/b2lf2d/aP/CYfafsH237X9m+2/Zv9I+y+b5/kfvfL8v5qAPWf+Fj/Dz/AKHzwZ/4U+h//J1AB/wsf4ef9D54M/8ACn0P/wCTqAD/AIWP8PP+h88Gf+FPof8A8nUAH/Cx/h5/0Pngz/wp9D/+TqAD/hY/w8/6HzwZ/wCFPof/AMnUAH/Cx/h5/wBD54M/8KfQ/wD5OoAP+Fj/AA8/6HzwZ/4U+h//ACdQAf8ACx/h5/0Pngz/AMKfQ/8A5OoA8m+OXjXwbq/wt8UafpXi3wzqd/cf2J5Fjp+vaVe3k/leItInl8m2truWaTy4YpJpNiNsijeRsIrNQB6z/wALH+Hn/Q+eDP8Awp9D/wDk6gA/4WP8PP8AofPBn/hT6H/8nUAH/Cx/h5/0Pngz/wAKfQ//AJOoAP8AhY/w8/6HzwZ/4U+h/wDydQAf8LH+Hn/Q+eDP/Cn0P/5OoAP+Fj/Dz/ofPBn/AIU+h/8AydQAf8LH+Hn/AEPngz/wp9D/APk6gA/4WP8ADz/ofPBn/hT6H/8AJ1AB/wALH+Hn/Q+eDP8Awp9D/wDk6gDyb4G+NfBukfC3wvp+q+LfDOmX9v8A2359jqGvaVZXkHm+ItXni862ubuKaPzIZY5o96LvikSRcoytQB6z/wALH+Hn/Q+eDP8Awp9D/wDk6gA/4WP8PP8AofPBn/hT6H/8nUAH/Cx/h5/0Pngz/wAKfQ//AJOoAP8AhY/w8/6HzwZ/4U+h/wDydQAf8LH+Hn/Q+eDP/Cn0P/5OoAP+Fj/Dz/ofPBn/AIU+h/8AydQAf8LH+Hn/AEPngz/wp9D/APk6gA/4WP8ADz/ofPBn/hT6H/8AJ1AHk3hDxr4Ntvil8YdQufFvhm3sNT/4V9/Zt9Pr2lRWeofYvDt1BefYbmS7WG7+yTMsNz5DyeRKwjl2udtAHrP/AAsf4ef9D54M/wDCn0P/AOTqAD/hY/w8/wCh88Gf+FPof/ydQAf8LH+Hn/Q+eDP/AAp9D/8Ak6gA/wCFj/Dz/ofPBn/hT6H/APJ1AB/wsf4ef9D54M/8KfQ//k6gA/4WP8PP+h88Gf8AhT6H/wDJ1AB/wsf4ef8AQ+eDP/Cn0P8A+TqAD/hY/wAPP+h88Gf+FPof/wAnUAeTfFjxr4N1H/hWv9n+LfDN/wDYPiz4N1K++xa9pV19j061/tL7Tf3fkXcn2eyt/MTz7qbZBFvXzJF3DcAes/8ACx/h5/0Pngz/AMKfQ/8A5OoAP+Fj/Dz/AKHzwZ/4U+h//J1AB/wsf4ef9D54M/8ACn0P/wCTqAD/AIWP8PP+h88Gf+FPof8A8nUAH/Cx/h5/0Pngz/wp9D/+TqAD/hY/w8/6HzwZ/wCFPof/AMnUAH/Cx/h5/wBD54M/8KfQ/wD5OoAP+Fj/AA8/6HzwZ/4U+h//ACdQByXj7x94FvPAvjWzs/GvhK7u7rwl4jtrW1tvEejz3FzcT6PexQW9vDFetLNNNI6xxRRqzyOyoiliAwAeAfH3gWz8C+CrO88a+ErS7tfCXhy2urW58R6PBcW1xBo9lFPb3EMt6ssM0MiNHLFIqvG6sjqGBCgHW/8ACx/h5/0Pngz/AMKfQ/8A5OoAP+Fj/Dz/AKHzwZ/4U+h//J1AB/wsf4ef9D54M/8ACn0P/wCTqAD/AIWP8PP+h88Gf+FPof8A8nUAH/Cx/h5/0Pngz/wp9D/+TqAD/hY/w8/6HzwZ/wCFPof/AMnUAH/Cx/h5/wBD54M/8KfQ/wD5OoAP+Fj/AA8/6HzwZ/4U+h//ACdQB5N4Q8a+Dbb4pfGHULnxb4Zt7DU/+Fff2bfT69pUVnqH2Lw7dQXn2G5ku1hu/skzLDc+Q8nkSsI5drnbQB6z/wALH+Hn/Q+eDP8Awp9D/wDk6gA/4WP8PP8AofPBn/hT6H/8nUAH/Cx/h5/0Pngz/wAKfQ//AJOoAP8AhY/w8/6HzwZ/4U+h/wDydQAf8LH+Hn/Q+eDP/Cn0P/5OoAP+Fj/Dz/ofPBn/AIU+h/8AydQAf8LH+Hn/AEPngz/wp9D/APk6gA/4WP8ADz/ofPBn/hT6H/8AJ1AHk3i/xr4Nufil8HtQtvFvhm4sNM/4WD/aV9Br2lS2en/bfDtrBZ/brmO7aG0+1zK0Nt57x+fKpji3ONtAHrP/AAsf4ef9D54M/wDCn0P/AOTqAD/hY/w8/wCh88Gf+FPof/ydQAf8LH+Hn/Q+eDP/AAp9D/8Ak6gA/wCFj/Dz/ofPBn/hT6H/APJ1AB/wsf4ef9D54M/8KfQ//k6gA/4WP8PP+h88Gf8AhT6H/wDJ1AB/wsf4ef8AQ+eDP/Cn0P8A+TqAD/hY/wAPP+h88Gf+FPof/wAnUAcl4+8feBbzwL41s7Pxr4Su7u68JeI7a1tbbxHo89xc3E+j3sUFvbwxXrSzTTSOscUUas8jsqIpYgMAHgHx94Fs/AvgqzvPGvhK0u7Xwl4ctrq1ufEejwXFtcQaPZRT29xDLerLDNDIjRyxSKrxurI6hgQoB1v/AAsf4ef9D54M/wDCn0P/AOTqAD/hY/w8/wCh88Gf+FPof/ydQAf8LH+Hn/Q+eDP/AAp9D/8Ak6gA/wCFj/Dz/ofPBn/hT6H/APJ1AB/wsf4ef9D54M/8KfQ//k6gA/4WP8PP+h88Gf8AhT6H/wDJ1AB/wsf4ef8AQ+eDP/Cn0P8A+TqAD/hY/wAPP+h88Gf+FPof/wAnUAfmP4+ube88deNbyzuIbu0uvFviO5tbq2lSe3ubefWL2WC4t5omaKaGaN1kiljZkkRldGKkFgD/1P7xf+FcfDz/AKEPwZ/4TGh//INAB/wrj4ef9CH4M/8ACY0P/wCQaAD/AIVx8PP+hD8Gf+Exof8A8g0AH/CuPh5/0Ifgz/wmND/+QaAD/hXHw8/6EPwZ/wCExof/AMg0AeTf8IV4N/4Xr/ZH/CJeGf7J/wCFTf2l/Zf9g6V/Z39o/wDCYfZvt/2L7J9m+2/Zv9H+1eV5/kfuvM8v5aAPWf8AhXHw8/6EPwZ/4TGh/wDyDQAf8K4+Hn/Qh+DP/CY0P/5BoAP+FcfDz/oQ/Bn/AITGh/8AyDQAf8K4+Hn/AEIfgz/wmND/APkGgA/4Vx8PP+hD8Gf+Exof/wAg0Afmz/wUr/YC8P8A7R/wgk8Q/C7wvoei/GH4cwXmq+HU0fTLHTD4u0hYzNqfhK7NnBbrLcXCx/adFll3mLUE8gfJeOK+E464WWf5f7fDQX9p4GMp0HZXr0rc1TDN6aytzUrvSemnM2f3F9B/6Tk/Abj95HxLi6v/ABDbjWvh8JnkJSlKlkeZ8ypYHiKnDVKFFS+r5kopueDl7TSWHR/OX+w5+1PN+yN8ZzJ458MW/iL4c65eJ4f+JXhPWtHtb+70wW9ybdtc02z1KCRrXXdAlEvnQosMt5bLPYzbmMSL+NcJcS4jhjM37VTeCrS9lj8M7qUeV29rGDvatRfo5RvBt3sf7EfSu+jhkX0l/Dml/ZlXBUuM8mw0814G4hg4So4lV6KrPKsRiqd/aZTm8PZuM/3lOhWdLFU7e/M/s18HaR8GPiB4W0Hxr4O8NeANf8MeJtMtdX0TWNP8O6DNaX1hdxiSGWN1sThhkpLG2JIZleGRVkRlX+msPiKGLoUsThqka1CvCNSlUg7xnCSumnr6Nbp3Ts00f81/EXD2dcJ55mvDXEWXYnKc7yXG18vzPL8XTlSr4XFYebhUpzjJK6uuanOPuVKco1INwlFy4j47+DvBOh/CnxZq2n+FfC2j3VkmjyJqVloek2FxaRt4h0mO4dLyC1hlgRrd5Y5mEqAwvIjkozCtW0k22kkm227JJattvRJLdv8AQ8inTqVqlOjRpzq1as406VKnFzqVKk5KMKcIRTlKc5NRjGKblJpJNux/Jh/wUr/al0L9on45X2j/AA603SNH+Evw1uL3w94VTRtMstMi8R6lDMYdZ8WXQsoYVuBfTxfZ9KMgbydMhjaNj9pkr+aeOuJZZ9mkqNCb/s7ASnSw8b6VaidquIa6uTXLDtBLuf8ASJ9B/wCjjR8CvDGhmueYSEfELjmhhM14iqyhF1srwM4KtlnD0J25oLB06ntsdFNKeOqTUor2MDwP9kT9mPxf+1j8avDfwu8MwzwaZJPFqfjTxCIma08M+E7WaP8AtPUZ5ceWLmWMm00y3Y77q/liRFdVk2+Hw7kWI4gzOhgaCaptqeKrW92hh4v95Nvbma92mvtTkkup+1fSD8beHvAPw0zrjnOqlKrjYUp4LhvKHUUa+dZ/Xpz+pYOlD43RpzX1jG1UuWjhadSUpRcoM/t88DfAX4QfDvwf4c8D+Gvh54Qt9D8L6RZ6PpyT+HtHubl4LOFY/Pu7mWyaW5vLlw9xd3EjM89xLLIxyw3f1TgsHQwGEw+CwsFToYalClTgtLRgrXfeTfvSfWTv1P8Alz4x4tz3jzijPeMeJsbUzDPeIsyxOaZli6sm3OviZuXJC7fJRow5aFCmnanRp06asonV/wDCuPh5/wBCH4M/8JjQ/wD5BrqPmg/4Vx8PP+hD8Gf+Exof/wAg0AH/AArj4ef9CH4M/wDCY0P/AOQaAD/hXHw8/wChD8Gf+Exof/yDQAf8K4+Hn/Qh+DP/AAmND/8AkGgA/wCFcfDz/oQ/Bn/hMaH/APINAHk3wN8FeDdX+FvhfUNV8JeGdTv7j+2/PvtQ0HSr28n8rxFq8EXnXNzaSzSeXDFHDHvdtkUaRrhFVaAPWf8AhXHw8/6EPwZ/4TGh/wDyDQB/Dt/we1eGfDegfAr9hGTQvD2h6JJc/Fr4vJcPpOk2GnPOieDvCzIkzWdvA0qoxJVXLBSxIwSaAPY/+DLTwr4X179hT9qC41zw3oOtXEP7UKwxT6to+najNFF/wrLwg/lRy3ltM6R7mLbFZV3MTjJYsAf2Tf8ACuPh5/0Ifgz/AMJjQ/8A5BoAP+FcfDz/AKEPwZ/4TGh//INAB/wrj4ef9CH4M/8ACY0P/wCQaAD/AIVx8PP+hD8Gf+Exof8A8g0AH/CuPh5/0Ifgz/wmND/+QaAPJvCHgrwbc/FL4w6fc+EvDNxYaZ/wr7+zbGfQdKls9P8Atvh26nvPsNtJaNDafa5lWa58hI/PlUSS7nG6gD1n/hXHw8/6EPwZ/wCExof/AMg0AH/CuPh5/wBCH4M/8JjQ/wD5BoAP+FcfDz/oQ/Bn/hMaH/8AINAB/wAK4+Hn/Qh+DP8AwmND/wDkGgA/4Vx8PP8AoQ/Bn/hMaH/8g0AH/CuPh5/0Ifgz/wAJjQ//AJBoAP8AhXHw8/6EPwZ/4TGh/wDyDQAf8K4+Hn/Qh+DP/CY0P/5BoA8m+LHgrwbp3/Ctf7P8JeGbD7f8WfBum332LQdKtftmnXX9pfabC78i0j+0WVx5aefazb4Jdi+ZG20bQD1n/hXHw8/6EPwZ/wCExof/AMg0AH/CuPh5/wBCH4M/8JjQ/wD5BoAguvhf8N7y2uLS48A+DXguoJbeZR4Z0VS0UyNHIAy2IZSVYgMpDKeVIIBrOrSp16VSjVip0q1OdKpCWqlCpFxnF+Ti2n6mGJw1DGYbEYTE041sPiqNXD16U1eNSjWg6dWnJdVOEnF+TP51Pjh8Ndb/AGfvjLq2giLy4NL1aPXvCV5NCJ7W/wBFkumutKkKSqYrhYlX7FewPvUywzRS5Vvm/iriXKMbwZxRVo0nKk8Lio43LK6VlPD+09ph5xd7Nwt7Oov5otNWaR/kd4gcL5t4T+ImKweGlUw0stzGnm3D2NV0quC9v7fAVYStaTpcqoV462nTnGSSkub9yfgBrXwn+N/wy0HxtYeBfA8eoSQiw8R6cnhnQt+ma/aIi39uyfYAyxSsRdWjFQr208ZUthjX9Z8I8RUOKMjwmaUnFVZR9ljKSetHF00lWg1paMnadPo4SVr6s/038MOPMF4i8H5ZxDhpQjip01hs2wsWubB5nQjFYmk47qnOTVag2rSo1IWcrS5faf8AhXHw8/6EPwZ/4TGh/wDyDX0x+gh/wrj4ef8AQh+DP/CY0P8A+QaAD/hXHw8/6EPwZ/4TGh//ACDQByXj7wD4Fs/AvjW8s/BXhK0u7Xwl4jubW6tvDmjwXFtcQaPeywXFvNFZLLDNDIiyRSxsrxuqujBgCoAeAfAPgW88C+Cry88FeEru7uvCXhy5urq58OaPPcXNxPo9lLPcXE0tk0s000jtJLLIzPI7M7sWJLAHW/8ACuPh5/0Ifgz/AMJjQ/8A5BoAP+FcfDz/AKEPwZ/4TGh//INAB/wrj4ef9CH4M/8ACY0P/wCQaAD/AIVx8PP+hD8Gf+Exof8A8g0AH/CuPh5/0Ifgz/wmND/+QaAD/hXHw8/6EPwZ/wCExof/AMg0AH/CuPh5/wBCH4M/8JjQ/wD5BoAP+FcfDz/oQ/Bn/hMaH/8AINAHk3hDwV4Nufil8YdPufCXhm4sNM/4V9/ZtjPoOlS2en/bfDt1PefYbaS0aG0+1zKs1z5CR+fKokl3ON1AHrP/AArj4ef9CH4M/wDCY0P/AOQaAD/hXHw8/wChD8Gf+Exof/yDQAf8K4+Hn/Qh+DP/AAmND/8AkGgA/wCFcfDz/oQ/Bn/hMaH/APINAB/wrj4ef9CH4M/8JjQ//kGgA/4Vx8PP+hD8Gf8AhMaH/wDINAB/wrj4ef8AQh+DP/CY0P8A+QaAD/hXHw8/6EPwZ/4TGh//ACDQB5N4v8FeDbb4pfB7T7bwl4Zt7DU/+Fg/2lYwaDpUVnqH2Lw7az2f262jtFhu/skzNNbeeknkSsZItrndQB6z/wAK4+Hn/Qh+DP8AwmND/wDkGgA/4Vx8PP8AoQ/Bn/hMaH/8g0AH/CuPh5/0Ifgz/wAJjQ//AJBoAP8AhXHw8/6EPwZ/4TGh/wDyDQAf8K4+Hn/Qh+DP/CY0P/5BoAP+FcfDz/oQ/Bn/AITGh/8AyDQAf8K4+Hn/AEIfgz/wmND/APkGgA/4Vx8PP+hD8Gf+Exof/wAg0AeTfHLwV4N0j4W+KNQ0rwl4Z0y/t/7E8i+0/QdKsryDzfEWkQS+Tc21pFNH5kMskMmx13xSPG2UZloA9Z/4Vx8PP+hD8Gf+Exof/wAg0AH/AArj4ef9CH4M/wDCY0P/AOQaAD/hXHw8/wChD8Gf+Exof/yDQAf8K4+Hn/Qh+DP/AAmND/8AkGgA/wCFcfDz/oQ/Bn/hMaH/APINAB/wrj4ef9CH4M/8JjQ//kGgA/4Vx8PP+hD8Gf8AhMaH/wDINAB/wrj4ef8AQh+DP/CY0P8A+QaAD/hXHw8/6EPwZ/4TGh//ACDQB5N8J/BXg3Uf+Flf2h4S8M3/ANg+LPjLTbH7boOlXX2PTrX+zfs1haefaSfZ7K38x/ItYdkEW9vLjXcdwB6z/wAK4+Hn/Qh+DP8AwmND/wDkGgA/4Vx8PP8AoQ/Bn/hMaH/8g0AH/CuPh5/0Ifgz/wAJjQ//AJBoAP8AhXHw8/6EPwZ/4TGh/wDyDQAf8K4+Hn/Qh+DP/CY0P/5BoAP+FcfDz/oQ/Bn/AITGh/8AyDQAf8K4+Hn/AEIfgz/wmND/APkGgA/4Vx8PP+hD8Gf+Exof/wAg0AeTf8IV4N/4Xr/ZH/CJeGf7J/4VN/aX9l/2DpX9nf2j/wAJh9m+3/Yvsn2b7b9m/wBH+1eV5/kfuvM8v5aAPWf+FcfDz/oQ/Bn/AITGh/8AyDQAf8K4+Hn/AEIfgz/wmND/APkGgA/4Vx8PP+hD8Gf+Exof/wAg0AH/AArj4ef9CH4M/wDCY0P/AOQaAD/hXHw8/wChD8Gf+Exof/yDQAf8K4+Hn/Qh+DP/AAmND/8AkGgA/wCFcfDz/oQ/Bn/hMaH/APINAB/wrj4ef9CH4M/8JjQ//kGgDyb45eCvBukfC3xRqGleEvDOmX9v/YnkX2n6DpVleQeb4i0iCXybm2tIpo/Mhlkhk2Ou+KR42yjMtAHrP/CuPh5/0Ifgz/wmND/+QaAD/hXHw8/6EPwZ/wCExof/AMg0AH/CuPh5/wBCH4M/8JjQ/wD5BoAP+FcfDz/oQ/Bn/hMaH/8AINAB/wAK4+Hn/Qh+DP8AwmND/wDkGgA/4Vx8PP8AoQ/Bn/hMaH/8g0AH/CuPh5/0Ifgz/wAJjQ//AJBoAP8AhXHw8/6EPwZ/4TGh/wDyDQAf8K4+Hn/Qh+DP/CY0P/5BoA8m+Bvgrwbq/wALfC+oar4S8M6nf3H9t+ffahoOlXt5P5XiLV4IvOubm0lmk8uGKOGPe7bIo0jXCKq0Aes/8K4+Hn/Qh+DP/CY0P/5BoAP+FcfDz/oQ/Bn/AITGh/8AyDQAf8K4+Hn/AEIfgz/wmND/APkGgA/4Vx8PP+hD8Gf+Exof/wAg0AH/AArj4ef9CH4M/wDCY0P/AOQaAD/hXHw8/wChD8Gf+Exof/yDQAf8K4+Hn/Qh+DP/AAmND/8AkGgA/wCFcfDz/oQ/Bn/hMaH/APINAHk3hDwV4Nufil8YdPufCXhm4sNM/wCFff2bYz6DpUtnp/23w7dT3n2G2ktGhtPtcyrNc+QkfnyqJJdzjdQB6z/wrj4ef9CH4M/8JjQ//kGgA/4Vx8PP+hD8Gf8AhMaH/wDINAB/wrj4ef8AQh+DP/CY0P8A+QaAD/hXHw8/6EPwZ/4TGh//ACDQAf8ACuPh5/0Ifgz/AMJjQ/8A5BoAP+FcfDz/AKEPwZ/4TGh//INAB/wrj4ef9CH4M/8ACY0P/wCQaAD/AIVx8PP+hD8Gf+Exof8A8g0AeTfFjwV4N07/AIVr/Z/hLwzYfb/iz4N02++xaDpVr9s066/tL7TYXfkWkf2iyuPLTz7WbfBLsXzI22jaAes/8K4+Hn/Qh+DP/CY0P/5BoAP+FcfDz/oQ/Bn/AITGh/8AyDQAf8K4+Hn/AEIfgz/wmND/APkGgA/4Vx8PP+hD8Gf+Exof/wAg0AH/AArj4ef9CH4M/wDCY0P/AOQaAD/hXHw8/wChD8Gf+Exof/yDQAf8K4+Hn/Qh+DP/AAmND/8AkGgA/wCFcfDz/oQ/Bn/hMaH/APINAHJePvAPgWz8C+Nbyz8FeErS7tfCXiO5tbq28OaPBcW1xBo97LBcW80VkssM0MiLJFLGyvG6q6MGAKgB4B8A+BbzwL4KvLzwV4Su7u68JeHLm6urnw5o89xc3E+j2Us9xcTS2TSzTTSO0kssjM8jszuxYksAdb/wrj4ef9CH4M/8JjQ//kGgA/4Vx8PP+hD8Gf8AhMaH/wDINAB/wrj4ef8AQh+DP/CY0P8A+QaAD/hXHw8/6EPwZ/4TGh//ACDQAf8ACuPh5/0Ifgz/AMJjQ/8A5BoAP+FcfDz/AKEPwZ/4TGh//INAB/wrj4ef9CH4M/8ACY0P/wCQaAD/AIVx8PP+hD8Gf+Exof8A8g0AeTeEPBXg25+KXxh0+58JeGbiw0z/AIV9/ZtjPoOlS2en/bfDt1PefYbaS0aG0+1zKs1z5CR+fKokl3ON1AHrP/CuPh5/0Ifgz/wmND/+QaAD/hXHw8/6EPwZ/wCExof/AMg0AH/CuPh5/wBCH4M/8JjQ/wD5BoAP+FcfDz/oQ/Bn/hMaH/8AINAB/wAK4+Hn/Qh+DP8AwmND/wDkGgA/4Vx8PP8AoQ/Bn/hMaH/8g0AH/CuPh5/0Ifgz/wAJjQ//AJBoAP8AhXHw8/6EPwZ/4TGh/wDyDQB5N4v8FeDbb4pfB7T7bwl4Zt7DU/8AhYP9pWMGg6VFZ6h9i8O2s9n9uto7RYbv7JMzTW3npJ5ErGSLa53UAfIP7cP/AAUY/wCCZH/BPDQrnUv2nfiH8IPDPiNLeWfTvhh4f8P6D4u+KuuPGARBpvgbRLW41aEybl23erJpenDOZL1F+ZQD+I3/AIKAf8Hc/j34kjWfA37AP7Nfw7+AvhaYz2cXxd+JvhLwn4z+KN5bnzYftmi+GF0+bwb4VeVCs9u99/wlF5bkgbkkUsoB+8v/AAay/tt/tM/8FCf2ff2gLr9sLwj4W+IUPwm8c+FtH+HnxrvPhr4S8O3ni2LX9N1a88Q+F9QfR9C03SNdvPC89lp9wNSs7OKa3t9Yjsb5pZIoWUA/qk/4Vx8PP+hD8Gf+Exof/wAg0AH/AArj4ef9CH4M/wDCY0P/AOQaAD/hXHw8/wChD8Gf+Exof/yDQAf8K4+Hn/Qh+DP/AAmND/8AkGgA/wCFcfDz/oQ/Bn/hMaH/APINAHJePvAPgWz8C+Nbyz8FeErS7tfCXiO5tbq28OaPBcW1xBo97LBcW80VkssM0MiLJFLGyvG6q6MGAKgB4B8A+BbzwL4KvLzwV4Su7u68JeHLm6urnw5o89xc3E+j2Us9xcTS2TSzTTSO0kssjM8jszuxYksAdb/wrj4ef9CH4M/8JjQ//kGgA/4Vx8PP+hD8Gf8AhMaH/wDINAB/wrj4ef8AQh+DP/CY0P8A+QaAD/hXHw8/6EPwZ/4TGh//ACDQAf8ACuPh5/0Ifgz/AMJjQ/8A5BoAP+FcfDz/AKEPwZ/4TGh//INAB/wrj4ef9CH4M/8ACY0P/wCQaAD/AIVx8PP+hD8Gf+Exof8A8g0AfmP4+trez8deNbOzt4bS0tfFviO2tbW2iSC3treDWL2KC3t4YlWKGGGNFjiijVUjRVRFCgBQD//V/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQB/O5/wVx/4J2/2rDrP7VHwR0LOp28bXvxe8H6VbfNqFvEv7zxxpNpCuXvLeMD/AISG2iUyTwqNRjDvHcJX454h8G+0VXPsrpfvIrnzHDU46zS3xVOKv70V/GileS99XtI/1/8A2fv0v/qFTLvAnxMzW2BrTjhvD3iHH1vdwlWcvc4Xx9eq/dw9aUv+EivNqFGo3g5yUJUpHxX/AMEy/wDgpBdfswavH8JPizd32o/A3xFqIktL/Mt1dfDjV7t9s2pWtv8AM83h+9cq+q2UO17WRft1ujkzK3zHA/GssiqLL8wlOeVVp+7P4pYKpLecV7zdGX/LyK+G3Mk9VH+lPpsfQ2oeN+Xz4/4BoYbB+KGT4NwxGE5YUKHGWX0IuVPBV62kaeb4aPNHAYmr7taMvqtaUUqc4/pt/wAFZf24PBOifs2aN8PfhH4w0bxRrPx/tILq313w5qMN/bad8PdPv4bjUNTjubWVvIutWv7WPRrZXZLiIJqYkhWSHCfd8e8WYfDZNTwuWYqnWrZvTko16E1NU8FrGrUUo7SqP91HTmXvvWx/Dn0EvorZ7xF4wZjxN4l8M5hlOTeE+Ope3yjO8HUwtTG8ZLlrZbg6lCvTarUMup2zOu0pUal8FyzcKq5/5W9F0bVfEWr6ZoOhafdarrOs31rpmlaZZRNPd39/ezJb2trbRICzzTTSJGigdWycAGvwKlSqV6lOjRhKpVqzjTp04K8pzk7Rilrdtv8A4a1z/ePMsywGT5fjc1zTF0MBluW4WvjcdjcTUVLD4XCYanKrXr1qkrKNOnThKUn2VldtI/to/wCCd/7G+lfsh/BHT9L1K1tZ/ir41itNe+JGsqiPNFfyxb7Twxa3G0P/AGZ4fikNuFXalxfG6umDl0Zf6e4O4bp8O5XCnOMXj8Uo1sbUtqpte7QUtHyUU7Wsrz5m73R/zO/S++kZj/pB+JuMx2Dr16XAnDdSvlXBuXOTjTnhIVHGvndekpOP13Npw9s5O8qWFVCguXllE+/a+uP5OCgAoAKACgAoAKAPGf2fP+SQ+Ef+4/8A+pPrVAHs1AH8L/8AwfAf8kH/AGC/+yufGH/1DfClAHsv/Bk//wAmHftSf9nSr/6rDwfQB/Z3QAUAFABQAUAeM+Cf+SvfG/8A7pr/AOoxd0AezUAFABQAUAFABQAUAFAHjPxk/wCaVf8AZZvA3/uUoA9moAKACgD4o/bf+Ai/F74Yz+INEshN448BQ3Oq6SYkBuNT0hV83V9FyBukLxJ9ss0LALcwlQCZiK/MvFDhNcRZHPF4WnzZplMZ4jD8q9+vh0ubEYbvJuK9pTX88bJrmal/PX0ivDNcd8H1M0y7DqfEfDNOrjcDyRTq4zApc+Oy/o5OUIuvh4t2VanZJ+0Z+af7Dnx3b4R/FCLw1rl20Pgvx/PbaRqYlZhBpmtl/J0jVipYLGBLJ9hvG+99nnVjjyQV/FPC7ip8PZ7HA4qo4Zbm0oYeupO0aGKvy4ev/d96Xsqm/uzu/hvH+Rfo5eJMuBuMoZRmNZ08g4nqUcBjFUly08HmLlyYHHO9lC05PDV5Wv7Kom7ezSP6Awc8jkHkEd6/rg/0/CgAoA4z4j/8k88ef9iZ4o/9Md9QAfDj/knngP8A7Ezwv/6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/wAle+N//dNf/UYu6APZqACgAoAKACgAoAKACgDxnxt/yV74If8AdSv/AFGLSgD2agAoAKACgAoAKACgAoA8Z/aD/wCSQ+Lv+4B/6k+i0AezUAFABQAUAFABQAUAFABQB4z8G/8Amqv/AGWbxz/7i6APZqACgAoAKACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQAUAFABQAUAFABQAUAeM+Cf+SvfG/wD7pr/6jF3QB7NQAUAFABQAUAFAH87f7en/AAWG8c/CL43XXwp/Zwt/BmraV4CuVsfHPibX9Pl1uHW/EUcmdR0DSDBdW8FvY6UoFnc6hC0s0t/9pWJ1SBQ3+ln0efoVZBxnwHR4v8T6meYPF8Q03iMgyvLsVDL54HLJx/2bMMaqmFrVKuIxjbr0sPNQhDD+zc4ylNs/hPxp+lRnHC/F9ThrgKnlOKw2S1FRznMMbQnjIYvHRl+/wWF9nVpQp0cMkqVSvBznKtzqDSh737g/s9fFG6+NnwQ+FvxZvtDk8NXvj/wZoviW80KUyE6bdahbK9xBGZQJTbGUPLaNJlzavCWZmLM38FeJPCVHgTj3i3g7D5hHNKHDmeY7K6GYRUV9apYaq406k1BuCqqFoVlH3VVjNRSWkf7C4G4jqcXcIcOcTVsHLL62d5ThMwq4KXM/q9SvTvOEXK0nT5rypOXvOnKDd22xnxk/5pV/2WbwN/7lK+IPqj2agAoAKACgAoAKACgAoA4z4j/8k88ef9iZ4o/9Md9QAfDj/knngP8A7Ezwv/6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/wAle+N//dNf/UYu6APZqACgAoAKACgAoAa7pEjySOsccas8kjsESNEBZ3dmIVVVQWZmIAAJJAGaAPwy/wCCgP8AwcQf8E0/+Cfyax4c8T/F23+N3xj01Jo0+DvwLmsPGmvQagibo7TxN4jgu4/CXhJXYGOX+1NWe/hZWX+zXYBGAP4VP+Cin/B1F+3p+2Lra6X8BzZfse/DXSl16x0Vfh5fzal8V7/TddhWxvTrfxFu44pNPnvNNjW2ng8K6fo6xB5RHdyllegD4U/Ys/4Iwf8ABT//AIKi+Kl8a+BvhX42k8KeJL8XXiD9or49ahrHh7wfc+ayPc6kPE3idbrX/Gl2YnaZE8P2ety3DL5ZlQkNQB/bd/wT/wD+DQH9iX9nr+w/Gv7YfifVf2vPiTZ/ZrybwrJHdeDfgjp19HkvAvhy0uB4h8W2obHPiLVoLSfb+90dQSigH9YPw7+Gvw8+EfhHSPAPws8D+FPh14I0G3S10bwn4L0DTPDXh/TYURIwtrpWk21rZxuyxp5soi82Zl3zO7kswB21ABQAUAFABQBxnxH/AOSeePP+xM8Uf+mO+oAPhx/yTzwH/wBiZ4X/APTHY0AdnQAUAFABQAUAFABQAUAfk18R/wDkofjz/sc/FH/p8vqAP//W/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQBHNDFcRSwTxRzQTxvDNDMiyRTRSKUkiljcFJI5EYo6MCrKxVgQcUmk000mmmmmrpp6NNPRprdP9S6dSpSqQq0pzp1aU41KdSnJwqU6kHzQnCcbShOEkpRlF3i1dWaP5vv+CkH/AASi8P6LY+PP2kPgXrfhzwboOmWV34n8c/DzXbiPR9EtfLbzb/U/CmqyMbWza6dyRoFzHDDJdvHFp0wknS3r8X404Ao044vOsqq0cNShGVfFYOrJUqStrOph6j92Lk3/AApKMXLSG6P9k/obfT0zfMsVwr4NeKOWZxxHmuNxOHyPhfi/KqUswzOu52p4TBZ9gIRdfEKhGNnmtGU5ww8JVMZScaTqH872nafq+vXlnpOlWeo6xfyb4bDTbCC5v7pgDJcyR2trAsspUEzXEixIFXMsz/xtX47SpVsRUhRo06terK6p0qUJVJy+01GEeaT2cnZd272bj/rxmeZZRkOCxeb5xj8uybLqHJVx2ZZjicNgMHSu6eHpzxWLxE6VKLk/Y0KbqzTlJ06ULtwjH+oT/gl1/wAEx9R+D19o/wC0T8fNOii+IbWTT+BPAN3AksngkXqKBrutlmZE8TfZmeK1skQnSRPI7yrdgKv7pwJwNPLZU85zaCWMcb4TCSV/qqmv4tW9v3/LdRil+7vraSP8Qvpx/TawfiJhcx8H/CjGTqcILExpcU8WUKsqcOJfq023lWWKPvSyRVlCdfEyaWYOlGMYOg+aX7xV+rn+VwUAFABQAUAFABQAUAeM/s+f8kh8I/8Acf8A/Un1qgD2agD+F/8A4PgP+SD/ALBf/ZXPjD/6hvhSgD2X/gyf/wCTDv2pP+zpV/8AVYeD6AP7O6ACgAoAKACgDxnwT/yV743/APdNf/UYu6APZqACgAoAKACgAoAKACgDxn4yf80q/wCyzeBv/cpQB7NQAUAFACEAgggEEEEEZBB4IIPBBHUH+tANJppq6ejT2a7Pff0+8/nx/bc+Bz/B/wCLNzrOi2rW/g7x1JPr2iPApSDTtTaTfq+koy8RG2unF1aruDfZrhNoAjNfyF4n8Lvh3iCeJwtNwy7NZTxeGcU1GjXcr4jDp3dnCb9pTXMnyTVtmf5cfSI8OXwHxvVx+X0XSyHiSVXM8udOLjTwuLc+bH4GLV1D2VaXtqMbt+xqxtZRP1Q/Yt+OA+MnwksYNVull8Y+CRb+HvEKu4M93DDCBpWsEEKzC+tE2TuAQLyCcFiWG7958NOKFxJw/ShXqKWZZZyYTGJv3qkYx/2fEWsm/a01aTV17SEr73P7R+j74jLj7gfDUsbWU8/4dVLK81UmvaV6cIWwWPasm1iaEVGpJcy9vSqXabXN9f1+iH7sFAHGfEf/AJJ548/7EzxR/wCmO+oAPhx/yTzwH/2Jnhf/ANMdjQB2dABQAUAFABQAUAFABQB4z4J/5K98b/8Aumv/AKjF3QB7NQAUAFABQAUAFABQAUAeM+Nv+SvfBD/upX/qMWlAHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn4N/81V/7LN45/8AcXQB7NQAUAFABQAUAFABQAUAeM/83C/90Z/93egD2agAoAKACgAoAKACgAoA8Z/aD/5JD4u/7gH/AKk+i0AezUAFABQAUAFABQAUAFABQB4z+z5/ySHwj/3H/wD1J9aoA9moAKACgAoAKACgAoAKAPGfBP8AyV743/8AdNf/AFGLugD2agAoAKACgAoA/Ln/AIKjftvWf7KfwcuPCvhDUov+F1fE+xvdK8JW8UiG58NaLIptdX8Y3CYdojaJI1ro2V/fam4kVkWzcv8A1n9EzwGreL3G9PN85ws/9RuFMRQxmc1JxkqWaY6LVXB5JTlop+2lFVsbZrkwkXFqTrQifzn9IzxgpeGvCk8uyuvH/W3iKjVw2Vwi055fhJJ08TmtSN7r2Sbp4S/Lz4iXMnalM/nX/wCCbf7HGq/ti/HmK78VQ3k/wr8CXlt4o+Jmr3Bkc61NJctcWPhdLyXPnah4hukd79iZZYtNS7uJELSxNX+l30oPG3CeCfh7OjlFShT4u4goVMp4VwVNQj9QpxpKnXzZ0Ir93hstpNRw6tGE8U6NOLajOMf4R8AfCnE+KvGsauZQqz4byatDMeIcVPmf1ybqe0o5cqr+Ovjqibru7lHDqrOSvKLj/bHYWFlpVjZaZptrBY6dp1pb2NhZW0aw21pZ2kKQW1tbxJhYoYII0iijUbURQowBX+EmJxFfGYivi8VWqYjE4qtVxGIr1ZOdWtXrTlUq1ak3dyqVKkpTnJu7lJt3uz/XWhRo4ajSw+Hpwo0KFOFGjSpxUKdKlSioU6cIqyjCEEoxilZJJK1keSfGT/mlX/ZZvA3/ALlKxNT2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/APdNf/UYu6APZqACgAoAKAMDxR4r8L+B9B1LxV4z8R6F4S8M6NbSXmr+IfE2rWGhaJpdpEN0lzqGq6nPbWNnAgGWlnnjQd2HG4A/l5/4KC/8HZn/AAT6/ZRXW/Bf7OT6h+2R8XLET2sa+A7r+xvhDpOoosiL/a/xHvoZF1iO3uU2XNv4R03Vw4GEv4twdAD+IH9u3/g4H/4Kff8ABRrUrzwPq3xR1f4WfDLxFeGx0z4F/s9Q6r4W03U4rmbFppWsanplxP418bXLbzbmHUNUe2uw5jGlhTsoA9w/4J+/8Gv3/BSj9t99G8a+P/CcP7KPwc1cwX0njr43Wt9aeMNX0+5An+1+GvhlFt8UX73MZfybnXf+EfsjMVd7p0YlgD+0D9ib/g2v/wCCdP7BfxK+Bmp6r4Ouf2nfindSeMr3VfHfxxs9N1rRItT0Pw/Fd6dc+G/hykL+FNGSzuriWW3kvrfW9QyImkvy8atQB/TTZWNlplnbafp1na6fYWUEVrZ2Nlbw2tnaW0KCOG3traBI4IIIkASKKJFjjQBVUAAUAWqACgAoAKACgAoAKAOM+I//ACTzx5/2Jnij/wBMd9QAfDj/AJJ54D/7Ezwv/wCmOxoA7OgAoAKACgAoAKACgAoA/Jr4j/8AJQ/Hn/Y5+KP/AE+X1AH/1/7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFAH85X/Bb/8AawMUegfsoeD9RIeYWHjH4pyW0hH7rPneFvDUzLjIkIOuX0W5gVXTUkQZJr8Z8UeILKjkGGn8XLice4votaFB7bv97PX+RO92j/Yv9mP4CKc818euIcGnGm8Vw7wLCtBP95/DzzOqalezgrZZhanKmm8ZKEuh5F/wTF/ZLFr8FfiT+1h4y00i5vP7P8I/CqK6jwY7MeJ9Ft/E/ieFHwQbl86JYTbSrQpqTxP84NPwu4etGrxBiaesubD4BSW0VpXrpP8Amf7qD7KbW5l+028f5VsTlngLw3jf3OHWGz/jyph6nx4iX7zJcjqON01Rh/wpYulzJ888HGpF8rR/UlX7Kf48hQAUAFABQAUAFABQAUAeM/s+f8kh8I/9x/8A9SfWqAPZqAP4X/8Ag+A/5IP+wX/2Vz4w/wDqG+FKAPZf+DJ//kw79qT/ALOlX/1WHg+gD+zugAoAKACgAoA8Z8E/8le+N/8A3TX/ANRi7oA9moAKACgAoAKACgAoAKAPGfjJ/wA0q/7LN4G/9ylAHs1ABQAUAFAHzp+1J8GLf43/AAk13w3FEh8R6Yj674TuCoLx61YxOy2obBYRanB5thKFxkyxuT+7r43jrhqHE/D2LwUYr65QTxWXza1jiaUW1C9m1GvG9KWn2ot2sflPjN4f0/ETgfMspp04yzbBxlmWSVWlzQzDDwk1RUrSahi6bnhppb88W78qcfxJ/ZZ+MV58A/jJp9/q7T2nh/UrhvC/jexkBUwWclz5RupoSV/0jRb5RcYY5VEuI+d+G/mPgPiOrwnxJRqYjnp4OvP6jmdJ6clNz5faSjp7+GqpT1WymrO7R/nh4Mce4jwz4+wuJxrqUMsxlV5NxFh5Jp06Eq3I61SGn73L8SlVs9oxqxs+ax/R3bXEF5bwXdrNHcW11DFcW88TB4p4J0WSGaN1yrxyRsrowOGVgRnNf2ZCcakIVISU4TjGcJxd4yjJJxlFq6akmmmnqu5/rDSq069KlXo1I1aNanCrSqwalCpTqRU6dSElpKM4tSi1o07omqjQ4z4j/wDJPPHn/YmeKP8A0x31AB8OP+SeeA/+xM8L/wDpjsaAOzoAKACgAoAKACgAoAKAPGfBP/JXvjf/AN01/wDUYu6APZqACgAoAKACgAoAKACgDxnxt/yV74If91K/9Ri0oA9moAKACgAoAKACgAoAKAPGf2g/+SQ+Lv8AuAf+pPotAHs1ABQAUAFABQAUAFABQAUAeM/Bv/mqv/ZZvHP/ALi6APZqACgAoAKACgAoAKACgDxn/m4X/ujP/u70AezUAFABQAUAFABQAUAFAHjP7Qf/ACSHxd/3AP8A1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/APqT61QB7NQAUAFABQAUAFABQAUAeM+Cf+SvfG//ALpr/wCoxd0AezUAFAHing79o/4DfELxxrPw08EfFrwL4o8eeHvtP9r+FtG8QWV7q1r9ifZebYI3xdfZGBF19ke4+z7WMuwKSv3ed+GHiHw3kGB4pz7g3iDKOHsx9l9TzfHZbXoYOr7ePNQvUnFex9srOl7ZQ9pdKHM2kfI5Vx7wXnmcYvh/J+J8mzHOsD7T61luEx1GtiqXsnaraEZP2nsmn7T2TnyW9/ls2e118IfXHzl+1L+038Ov2UPhPrXxR+IN8u23SSz8M+HYJEGreLPEUkTNY6LpcLHc29wJL67K+Rp9mJLmZhhEf9O8JfCriXxg4wwPCfDeHlepKNfNcynCTweT5ZGaVfHYuotI8sbxoUtZ4ms40qcX70o/BeI/iHkPhnwzi+I88rK0FKll+AhKKxWZ49xbo4TDRerbdpVqtnChSUqk9oxl/Fn4n8RfHb/goT+04Lr7Lc+JfiL8S9bj0/R9JtTI2k+F9AhkItbOJ2GzT/D3hzTy0lzdS+UpCSzuTcThG/3OynLPD76N3hV7H2tLK+GeFsDPE43GVeRYzNsxqRXta80lfE5lmeJShSpR5pawpRSp0rx/yUzHH8Z+OfiIqns6mYZ7xBjI0MJhafN9Wy3Awl+7pRcrxoYHAUG5VKkuVe7Oo7znyH9n/wCyR+zH4N/ZN+Cvhn4U+FIobi8tIE1Dxf4iEKpd+KPFV1Grapqty+PMMIlzbabAx2WlhFDEiKxct/hx4yeK2d+MXHWa8X5xKdKhWqSw2S5ZzuVHKcooyawmDpRu4+05LVcVUSvWxE5zk37p/rN4YeHmU+GXCOX8NZZGNSrSgq+aY/kSq5lmVSK+s4mo7KTgpfu8PB6U6MYRSVpSn9NV+VH6EeM/GT/mlX/ZZvA3/uUoA9moAKACgAoAKACgAoAKAOM+I/8AyTzx5/2Jnij/ANMd9QAfDj/knngP/sTPC/8A6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/wDdNf8A1GLugD2agAoA8W+O37RvwH/Zi8Daj8S/2hPi54B+D3gXS4ZZ7rxH498R6doFmwhAMkVjFdzJd6pdgEFbHTILy8kz+7t2NAH8eX/BQX/g8s+BHw4Ou+Av+Cfvwovvjn4pg+0WMPxj+J8N/wCEvhfZ3KmWA3ug+FYpIPF3itIXVJ7aXUG8NWNyu05niagD+M/9ov8Ab5/4Kh/8FefifZ+EfH3j/wCMXx81nXtRx4Z+BXws0fV4vBGnPdTIkcGj/DTwbANMEEUhQf2lq8N/cxDMl1qIG5qAP3H/AOCfn/Bnl+2F8dl0Txx+2x420v8AZQ+H12La8k8B6Wtl41+NuoWcgLPb3NhbzN4V8GXPyhHGrahq19BvzJpIZWRgD+4L9g7/AIIpf8E6/wDgnbY6fdfAX4CaBqHxGtII0u/jN8So4PHnxRvZxseS4tvEGsW7QeHVeZWkjtvDFhpEMKv5YDqKAP1doA8Z8bf8le+CH/dSv/UYtKAPZqACgAoAKACgAoAKACgDjPiP/wAk88ef9iZ4o/8ATHfUAHw4/wCSeeA/+xM8L/8ApjsaAOzoAKACgAoAKACgAoAKAPya+I//ACUPx5/2Ofij/wBPl9QB/9D+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFAHA/FP4jeHvhF8OPGvxN8V3KWvh/wP4c1TxFqUjuI98Wn2zyx2sbEEefe3Ahs7cYO6eeNcHIFcmPxtHLsFisdiJKNHC0alabbtdQjdRW/vTlaMdNZSS1PrOBeDs38QeMeGuCchoSxGb8T5xgcnwUIx5uWeLrRhOvNafusNSdTEVnfSlSm9LH8N+kWPxA/bl/a0hgkaa58W/G/wCI73F7MMyR6LpF5dma6lLBWSOx8OeH4GWMsFiEVlGnG8bv5ZpxxnFXEKi7yxGaY1uT3VKnKV5P7VoUaKfXaO7v7v8A0+5hiuEvov8AgDUqwVOjkHhlwbGlhqbtGWZZhh8OqdCmleMqmJzjN6qcre+54mcrLlZ/Zr4+8BeHPhd+zMfh34RsYtO8N+DdB8H+H9ItIY1jVLTTtf0KASuqYUz3Lq9zcv1kuJpZDksxr+qMFhKOAwmHweHioUcNShRpxSt7sFa/rJ3lLu3c/wCXrjDirOOOeKc/4w4gxNTGZzxHmuMzfMK9Sbm5V8ZWlVcIylZqlRjKNGjG3uUqdOCskj6ZrpPmwoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4/8A+pPrVAHs1AH8L/8AwfAf8kH/AGC/+yufGH/1DfClAHsv/Bk//wAmHftSf9nSr/6rDwfQB/Z3QAUAFABQAUAeM+Cf+SvfG/8A7pr/AOoxd0AezUAFABQAUAFABQAUAFAHjPxk/wCaVf8AZZvA3/uUoA9moAKACgAoAKAPw4/4KC/AP/hBfG0XxV8O2Xl+F/HVy661Hbx4h0vxUFLzuyoCsMGsRKbqMnYn2tLlFyzAV/Lni9wl/ZeZxz/BUuXA5pNrExgvdoY+15N2VoxxMbzj8K9pGolvY/zl+lF4Zf6t8Qw41ynDcmTcSVZLMIUo2p4LOkuapJqMbQp5hBOtH4YqvGtFNuUVL6p/4J9/tBJ438Ht8JfEl8X8VeC7XfoMtxJum1fwspCpErP88tzorsIJBlnNk9u5wI23fe+EXFyzTLf9X8bVvj8sp3wkpy97E4FPSKvdynhm+R639lyN35T9p+i94oR4iyF8D5viebOuH6PNlk6sr1MdkyaUYRctZ1cvk1Skryl9XlSk9IyP0er9mP6xOM+I/wDyTzx5/wBiZ4o/9Md9QAfDj/knngP/ALEzwv8A+mOxoA7OgAoAKACgAoAKACgAoA8Z8E/8le+N/wD3TX/1GLugD2agAoAKACgAoAKACgAoA8Z8bf8AJXvgh/3Ur/1GLSgD2agAoAKACgAoAKACgAoA8Z/aD/5JD4u/7gH/AKk+i0AezUAFABQAUAFABQAUAFABQB4z8G/+aq/9lm8c/wDuLoA9moAKACgAoAKACgAoAKAPGf8Am4X/ALoz/wC7vQB7NQAUAFABQAUAFABQAUAeM/tB/wDJIfF3/cA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/wC4/wD+pPrVAHs1ABQAUAFABQAUAFABQB4z4J/5K98b/wDumv8A6jF3QB7NQBj+IdJ/t7QNc0L7XPYf21o+p6T9utuLmy/tGyms/tducrie387zovmX50Xkda7ctxn9nZjgMw9jDEfUcbhcZ9Xq/wAOv9Vr063samj9yryck9H7sno9jlx2G+u4LGYP2s6P1vC4jDe2p/xKPt6M6XtYbe/T5ueOvxRWx/CN8SPBXxu/YA/ajeBry+0bx38OfEy694U8UKs4sPFeivO0tjq0TvsF/pmu2Ltb6rbMzENLd2c22RN9f9BfC+e8B/SM8JlUVGhjuH+Jsqll+b5U5U3icnxypqGIwc0rvD4vAYiKq4Styq6hRrwUoycZf4ycQZTxf4I+I8oe1rYXOchzFY3LMxtP2GZ4Rzc6OJi3y+3w2MotwxNJveVSlJxkuaX9Mnwd/wCCwH7NfjT4Bax8TvH+sxeCviF4L0aObxX8MMyS6vq2rF47S3/4QppFC6xp2rX0kIgk3edpiT7NSRPKeR/8sONvoWeKOR+ImC4V4cwU894bzzHShlHFnuU8Hg8ElKtV/t1R1wWJweHjN1I8vJi5QvhXPnUI/wChHCv0pfD/ADbgnFcRZ3i45TnmU4SMsz4d1lisTim1Sp/2TfTFUMVWceR358Op2rpcl5fzZftMftLfG79v745WFzNp2qajLqOp/wDCP/C34X6EJr230S0vZwltZWdumFutVuwEm1fVZUQyMrySSQ2kI2f6heFfhbwH9HTgHE0oYnC4aOGwv9pcW8WZh7OhVx1ahT5qtetVlrSwlHWGDwkG+VNRip1ps/gHxC8QeL/G7jGhUnQxFeVfEfUeHOHcFz1aeEp1p2p0qVNaVMTV0licTOOrTbapxaj/AE//APBNz/gn7oX7H3gJfE3i23stW+O3jTToG8Wawuy4g8LWEoWdPCGgzHIEVu+3+19Qi2tqV3HtTFnDEH/yh+lB9I7MPGriJ5Vk9Svg/D7I8TUWT4J81Opm2Ijem86zGnZNzqRusFhp6YWjK7SrTny/6KeAXghgvCzJFmGZwpYrjPN6EHmeKVpwy6jK01leCl0jTdvrVeLXt6qsv3cIc36d1/KR/Q4UAeM/GT/mlX/ZZvA3/uUoA9moAKACgAoAKACgAoAKAOM+I/8AyTzx5/2Jnij/ANMd9QAfDj/knngP/sTPC/8A6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/wDdNf8A1GLugD58/bN/4KV/sRfsAeGJ/En7U/7QPgf4dXQtpbjTPBX9oLrnxH8QtHH5q2+geA9G+2+I76Sdf9TO9jBYk/6y8iUMygH8lnx0/wCDpT9pP9sfxR4l+E3/AAS2+DOmfCXwhpkU0WtftOfH+yj13WbGCRnit5fDnw/05rvQdL1G/jbzbCDWr7Xr6HZ9omsbRVy/z3EXE2XcN4aFfGOVSrVly0MLScXWqtfFJKTtGnH7VR6XtG0m1y/0F9H36N3iB9IziPFZNwhTw2X5ZldJVs84nzVV45PlUan8ChKVClVqYnHYh60cHQjKo6cZ1ajpU4qU/wCXH46/sk/8Fdv2+v2p/wDhDvEn/C7/ANtz4oazbwazZ+L7W71rXfBmiaVfXEtsZ7m71Mad4P8Ahxp9rJDOstlL/Y1skERa2SdFIq+HuIcFxJgpYzBqpT9nUdGvQqpe0pVLcyTcbxlGUWnGS31va1jj+kD9H7jL6OvGVHhHi6tl+YLMMvjmuTZzlU6rwGaYB1Z4epOEMRTpV6FahiKc6VehVheD5JRnOM1yf0ff8E+v+DMG+uf7E8ef8FHPjQLCIm3vLj4DfAm9Sa7YZLSad4q+KV9avbwZUqs0XhLS52U7lh1sffr3j8JP7Uf2TP2C/wBkH9hrwfB4J/ZZ+Anw/wDhJpqW6QX+q6Fo0M3i3XmCRrJceI/GOofa/EuuXFw0SyzHUNTliMuWjiQYVQD67oAKACgDxnxt/wAle+CH/dSv/UYtKAPZqACgAoAKACgAoAKACgDjPiP/AMk88ef9iZ4o/wDTHfUAHw4/5J54D/7Ezwv/AOmOxoA7OgAoAKACgAoAKACgAoA/Jr4j/wDJQ/Hn/Y5+KP8A0+X1AH//0f7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAfgJ/wXM/aO/4R3wH4I/Zu8P3+zVPHNynjPxxHbzYki8L6NO0Wh6dcCNwyrqusrLeNFINssOlKSrK61+R+KedexwmFyWjP95ipfWcUk9VQpu1KDs/+XlS8rPRqntsz/WP9l74Of2vxVxN4y5thObA8L0ZcOcMTq07wqZ3mNJTzTGUeeNm8Dl0oYeNSDvCpjpK8ZRXN5//AMELf2bl2+PP2n/ENgd4af4efDuWePgDEVx4v1e1c9yTZaMjgdPt6BuStcnhXkn+9Z7Wjr72DwbfbSWIqR0/w0v/AAPXofWftRvGZ34W8D8oxelqXF/F8KU9b/vKXD2X142elvrOZSi2v+YSXK7KR+6v7Qf/ACSHxd/3AP8A1J9Fr9nP8cD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoA4P4m/DzQPip4H8QeBfEkCzabrtjJb+btVprG7A32Wo2rEEx3NlcrHPE64J2lCSrOK8rO8nwmfZXjMqxsFKhi6Uoc1lzUqm9KtDtOlO0otNPRq6TZ81xhwtlnGnDmacN5vTVTB5lhpUueydTDV0ubD4qi941sPVUakGmm+VxbUZM/nO1Kw+IX7Lfxo8sNJpvinwRrC3NlcYcWesaYzHyZh0W50zWLFikqfOuJJIyRLFur+Nq9LOOBOJre9Rx2V4nnpT1VPE0G/dkuk6OJpaSsmrScdZRbP8o8XhuKfBrxB5bzwmdcO49VcPVs1Qx+Ebfs6iXw1cHj8M3GS9+KUpR+ODUf6Efgj8YPDnxv8AaT428PyIj3Ea22taUZA1zomsxIv2zT7hclgAx8y2lyyT2zxyKxO9U/r3hjiLBcT5Th8zwcknNKGJoXvPDYmK/eUZrV6PWEr2nBpq+p/qR4d8eZT4icMYHiLK5xjKrFUswwTknWy/HwjH2+Fqq8nZSfNRm9KtJxmr+8o9T8R/8Aknnjz/sTPFH/AKY76voT7kPhx/yTzwH/ANiZ4X/9MdjQB2dABQAUAFABQAUAFABQB4z4J/5K98b/APumv/qMXdAHs1ABQAUAFABQAUAFABQB4z42/wCSvfBD/upX/qMWlAHs1ABQAUAFABQAUAFABQB4z+0H/wAkh8Xf9wD/ANSfRaAPZqACgAoAKACgAoAKACgAoA8Z+Df/ADVX/ss3jn/3F0AezUAFABQAUAFABQAUAFAHjP8AzcL/AN0Z/wDd3oA9moAKACgAoAKACgAoAKAPGf2g/wDkkPi7/uAf+pPotAHs1ABQAUAFABQAUAFABQAUAeM/s+f8kh8I/wDcf/8AUn1qgD2agAoAKACgAoAKACgAoA8Z8E/8le+N/wD3TX/1GLugD2agAoA+Nv20v2QPg5+1n8Mb3SfiaP8AhH9T8L2d9q/h34j6fbwtrfhAW0ElzeyEuv8Ap+jSQxPJf6XM/lShfNh8qdQ7ft3gZ408b+DvFVDGcKv+0sJm1ehgsz4ZxNSawGc+1qRpUI2i19Xx0JyUcPi6dpw5uSpz03yn5T4teFvCnibw9VwvEK+pYjLqVbFYDP6EIPGZWqcHUrO8re2wkoxbr4abcZW5ocs/eP4WfEml6VYeJ9Y0bwxq03ijSLTV7vT9F1oaa+nS67axXL29pfRaZ9ovJbf7eAssFu08su2RAwWQmNf+gDLMXi8RlWCx2a4OGU4ytgqOJx2B+txxUMvqzpKpWw88Z7LDwq/V23CpVVKELxk1eKU5f42ZhhsNQzHF4TLcVPMsLSxVWhhMX9XdCeMpxqOFOtHDe0rSp+2SUoQc5Ss1dRk3A9g/Z4/aV+JP7L3i+fx38K4vCdt4sltH09NZ8SeFdM8TXdjaSMDPDpjarHN/ZT3G3Zc3FgILqeL9zLM8IEdfFeJXhdwv4sZLT4f4unnFXJ4Vo4mWByzN8VlVHEVoq1OeLWEdP62qV+alTxDq0ac/3kIRm25fVcC+IOf+HOaTzjhuGV08zlSdBYrMMsw+Y1aNOTvOOH+sxl9WlO3LUnR5Ks4+65uPuy++bL/gtz+25b3FvJdX3wwv4IponntpPAUUAuYkYGSFprfUI5IvOUFTJEAybsptKjd/O9f6BvgNUp1I0qHFmHqShKNOpHiKU/ZSatGahVwk4y5G0+WakpWs/wC7+10fpf8Ai/CdOVSrw5WhGUXOnLJVD2kU1zRc6deLjzK6co8rV7paWj/Vn+z18Ubr42fBD4W/Fm+0OTw1e+P/AAZoviW80KUyE6bdahbK9xBGZQJTbGUPLaNJlzavCWZmLM3+QviTwlR4E494t4Ow+YRzShw5nmOyuhmEVFfWqWGquNOpNQbgqqhaFZR91VYzUUlpH/SrgbiOpxdwhw5xNWwcsvrZ3lOEzCrgpcz+r1K9O84RcrSdPmvKk5e86coN3bbPY6+IPqjxn4yf80q/7LN4G/8AcpQB7NQAUAFABQAUAFABQAUAcZ8R/wDknnjz/sTPFH/pjvqAD4cf8k88B/8AYmeF/wD0x2NAHZ0AFABQAUAYniXxJoXg7w/rXirxRqlnonh3w7pl5rGt6vfyiGz07TbCB7m7u7iTkiOGGNmwqs7nCRo7siNlXrUsNRq4ivUjSo0YSqVak3aMIQV5Sb7JL1ey1aPTyXJs04izbLchyPA4jM84zjG4fLssy/CQ9piMZjcXVjRw+HpQ0TnUqTUbtxjFXlOUYqUo/Dnw2/4KffsUfFDW5/D2kfGTTdA1KO8NlaL430/UPCFnqr7tiy6bqWrwRafLFIeY/Ou7eR158sdV+WwXHPDGPqujTzKFGalyx+tRnh41POE6kYwafRNp/ef0/wAZ/Qg+kvwPllLN8w8OcbmuCnh1icQ+GcXg+IMTgI8vM4Y3B5fVq4ynUgnafsqFanF6e0e8fu/TdU0zWbKDU9I1Gw1XTblPNttQ028t76yuIyMiSC7tZJYJUI53o7Ljnv8AN9ZCcKkVOnONSEleM4SUoyXdSjdNej++7P5XxuBxuW4mrgsxweKwGMoScK+ExuHq4XE0ZreNWhXhCrTkusZxTXU/Hr9vr/gvN/wTb/4J5W+qaR8VPjfpfj/4rWMMnkfBb4NyWfj3x614EkMNtrX9nXg0Hwmjyp5MsviTV9OlgOSLWVlMdUcp/CV+3d/wdg/tvfH/AMTfEmw/ZI0+0/ZA+HPjx9JtZtU0me28UfGW603Q9OOmWbP4zurddN8MXFxDJO90nhnTI7mMuiQ6wShkYA/F/wCGH7Gf7Z37Z2qt8bfG2m/EO68E+JdZVfEH7Qvxfu9bksddupG+03MPh/W/E0z6r491kwu7RWXh5dRt7Tcsmp3Wl2Cvcp4fEGfYLh7ATxmLknJ3jh8OmvaYitb3YQW9lvOW0I6vc/bfAXwJ4x8f+OsFwdwrhp08NGVPE8Q59VpzeXcP5SqijWxuLqJOLqzXNTweFT9ri8RanBNKc6X9L37Hv7IUlofAv7OX7P8A4Tn1bW9VuYrZWjjH2vVb+QIdV8T+I75YysFvCu+6vbuY+RZWiLDFnEaS/wA24jEZvxhnSdpYjF4ufJRoxv7LD0U9IrdQpUou85u19ZPV2P8Aoz4fyDwm+iP4OVKca2HyDhHhXBPF5tmuIUHmWe5pOCVTEVrctTHZtmddKlhcLDm5eaFGny0qcpx/vF/Yh/ZC8LfscfBy08A6TdDWfFWt3EOv/EHxOUMY1vxG1qkBjs4jloNI0qIGz0uFy0nlmW5mPnXLqn9F8L8O0OG8tjg6cvaV6svbYuv/AM/a7io+6vs04JcsFvZXerZ/z0fSb+kFnf0ivEfEcXY/DrLcky2hPKOE8mTUpZdksMRUrQeJqr+Nj8ZUqPE4yafIpyjRpRUKSlL7Gr6M/nYKACgAoAKAPGfG3/JXvgh/3Ur/ANRi0oA9moAKACgAoAKACgAoAKAOM+I//JPPHn/YmeKP/THfUAHw4/5J54D/AOxM8L/+mOxoA7OgAoAKACgAoAKACgAoA/Jr4j/8lD8ef9jn4o/9Pl9QB//S/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFAGP4h1b+wdA1zXBaTX50bR9T1YWNsM3F5/Z1lNefZLcYbM1x5PkxDa3zuvBzis61T2VGrV5XP2VOpU5I7y5IuXKvOVrLzPRyjAf2rm2WZX7enhf7SzHBYD61W0o4b65iaWH9vVd1anR9p7Spqvci9Vufwo+Ltb+L37eX7Vc9wba51Dx/8WPGMek6TpZErW3hnR0nNvY6eVY5tNJ8MaTG0l2x2Kq29zOR5szBv5UxFXMeLM/b5ZTxeYYlU6dPVqhSTtGFvs06FNPm2tyyerdj/AKkuHss8PforeA9Kkq1HB8J8BcOzzDMMcnBV87zGVJVsVi04p/WMfneYTUMOkpu9ajTV6cD+2P8AZ++DXh/9n34N/D/4P+GsSab4J8P2mlyXvlpHJqupkG41fV5wipum1LUprm7YsC6rIsZJ2Zr+ncoy2jk+W4PLqGsMLRjTc7WdSe9So/Oc3KXzt0P+aHxa8Rs28WvEbizxDzq8MZxNm2Ix0MNzynDAYJNUsvy+k5OVqeCwdOhQiovlbg5K/M+Vn7Qf/JIfF3/cA/8AUn0WvSPzo9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/ALj/AP6k+tUAezUAfwv/APB8B/yQf9gv/srnxh/9Q3wpQB7L/wAGT/8AyYd+1J/2dKv/AKrDwfQB/Z3QAUAFABQAUAeM+Cf+SvfG/wD7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/uUoA9moAKACgAoAKACgD4y/bH/Zqt/jl4KOs+H7aKP4jeE7ae40SYBUbWrEDzbnQLl9uWM20yac5b91dnYfklYV+beI/BUOKcseJwkIrOcvpznhZLR4mkvenhJu2vPa9Fu/LU01U2o/gHj54R0vEfh55hldGEeK8ko1KuXVElF5hhl+8rZZVl1dTlc8LJ39nXdrONSSPyU/Ze+Pes/s7fEsHVFvB4T1a7XRvHGhyB1e2WGZoP7SS2YqY9S0eUuzL8skkKzWz7iyKv8APvAvFmJ4Ozv9+qiy/EVFhs0w0k04KMuX2yg9Y1sPK7e0pRUoO/wn8PeDfiZmHhVxd/tqrrI8bXWA4jy6UZKVJQqOn9bjSbjyYvAT5m17sp01UoyvdKP76+MtV07XPhV4t1jSLy31DS9T8BeIr6wvrWRZbe6tbjQLySGaKRSQyujA+oOVYBgQv9i4evRxVClicPVhWoV6catKrTfNCpTmrxlF66NP5bO1mj/VbBY3CZlhMNj8DiKWKweMo08RhcTRmp0q1CrFTp1ISWjUotPo1s0mrGh8OP8AknngP/sTPC//AKY7GtjqOzoAKACgAoAKACgAoAKAPGfBP/JXvjf/AN01/wDUYu6APZqACgAoAKACgAoAKACgDxnxt/yV74If91K/9Ri0oA9moAKACgAoAKACgAoAKAPGf2g/+SQ+Lv8AuAf+pPotAHs1ABQAUAFABQAUAFABQAUAeM/Bv/mqv/ZZvHP/ALi6APZqACgAoAKACgAoAKACgDxn/m4X/ujP/u70AezUAFABQAUAFABQAUAFAHjP7Qf/ACSHxd/3AP8A1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/APqT61QB7NQAUAFABQAUAFABQAUAeM+Cf+SvfG//ALpr/wCoxd0AezUAFAFPUdPs9W0++0vUbdLvT9Ss7rT761kz5dzZ3kL29zbybSG2TQSvG2CDtY4I61vhsTXweJw+Lw1SVHE4WvSxOHqxtzUq9CpGrSqRvdc0KkYyV1a61uZV6FLE0K2GrwVShiKVShWpy+GpSqwdOpCVtbShJxdujPy0+B3/AASG/Zq+B3xvX406ZqHirxS+kajcat4M8GeJW0y48PeFNRmd2trpXhtI7vV5NLDn+zBfFVt5UinkWaSJS39bcffTP8UePuApcDYrDZPlEcbhqWDzzPMqWLp5lm+GhGKq0XGpXlQwUcW4r639XUnUg504ckZyUf5x4O+i74f8HcYLi3D1syzGWFrzxWU5VmDw9TA5bXk26dROFKFXEyw/N/s/tmlTkoyanKJ9oeMf2Sf2YfH9w154w+Afwo127cESXd14J0KO6k3dTJcWtpBNIx/vs5f36mvwzJPGTxW4cpKhkviJxhl9CLTjRpZ7mE6MbbKNKrWnTiltZK3ktpfrOa+GPh3ndR1c14K4axtVpp1amT4JVHfe9SnTpzbv9pu/pa553a/8E8v2JLO5gvLf9mj4XJcW00dxCzaI8qrLE4eNjDLcvDIAyglJEdG6MrAkV9NV+kp48V6VShU8U+LXTqwlTmlmCg3CatJKUKKnFtNq8aqkt01seFT8C/CGlUhWp+H3DiqU5xqQbwfMlKLvFuM5yi7NbSTi9mrWR9h2lpa2FrbWNjbW9lZWVvDa2dnaQx29ra2tvGsVvbW1vEqxQQQRIkcMMaqkcahFUKqhfxStWrYmtVxGIq1K9evUnWr1q05VatarVk51KtWpNudSpUnJznOTcpSk3Jtu5+qUqVOhTp0aNOFKjRhGlSpUoRp06dOEVGFOnCKUYQhFKMYxSjGKSSSSRYrIs8Z+Mn/NKv8Ass3gb/3KUAezUAFABQAUAFABQAUAFAHGfEf/AJJ548/7EzxR/wCmO+oAPhx/yTzwH/2Jnhf/ANMdjQB2dABQAUAFAHj/AO0B4G8G/Ev4KfE7wD8QvEEHhTwX4s8H6vo3iHxNc6hZ6Xb6DY3VuQdWmv7+W3sreKwlEVzIbueGB1jMcsqI5deHM8BSzTL8Xl9aUoUsZQqUJzh8UVNaSV7JuLs7N62tpc+28N+Ocy8M+PeE+P8AKKGHxWY8J53gs6wuFxabw+JlhKnNPD1XG8oxr0nOl7SKcqbmqkVJxsf52X7WP7RH7D37NfxjuPhH4c/bM+Fvxxmtrm4tr7xF8OdK8W6j4e0K5hnaE2Gt+JYNHuvCRvYmUrOdH8Q6rBGwJZ1XIX8EzTwyz7Bc08E6GZUVdr2MvZV7dL0atk3bfknLXZPY/wB2vDL9pR4FcZfV8HxjTznw3zWrywnPNqH9p5E6llzSjm2XRq1KNNy+F4zA0FGPxTdpM7Lwx8c9R8e/DXXPB/w7+Oni2f4beL9New1vTPhr8V/EuiaZfWFyuGguV8Ja/YyQhv4opPKYkASRnGG+XoY/iLhuvyU62YZbUi7OhV9pCnK3R0an7ua9E0130P6YzrgX6Pf0isl+u47KOAvEbAYinzU85y6eAxmYUPaRajOGbZbUhmWEqq94xniKcovWVNp8h+Q/xB/4JEeBvFniy2v/AAT8X9b8C6Vq2rJJr7eLNHn8dvp1rcz7r7ULSe31HStV1O5TfJN9nvbh5rhhhrsO7M36Hk/itWg4Us7wUasdFLF4P3Kn+KdCT5H58kovsna0f4A8XP2W2S4uOLzPwZ4xxGVYi0qlLhji7mxuAk0rqhhc8w1JYzD8z0i8bhcWo6KVVK8z+l//AIJ7/wDBKf8A4IkfsZ+BfHH7RXxM8Q237avjf4fWPgq68ML8V9Ph06Kfxhq+n3t7LpXh/wCCUjtp6XFvrNp9lj1LxMfEkFhaQG7luQxAl/QKnHHDscrrZnSx9OtGlFL6sny4qVaSfs6PsZJTUpNO8rciSbcnblP4JwH0KPpB1vEvKfDbNOCMflGJzOtUlLiSrD61wth8rw04LG5qs4wsqmFrUaEJxcMMpxxdapOnRVGMpNx434tfFX4u/tu/GrRbDSPDYefULqHwn8J/hN4MsEtPDngzQGm26foHh/SLKOGysreGPE+qX4ggWV0lurl4oY1WL8BzXNM14uzeMnGdatWmqOCwdK7hRg37tOC0S096pUk9XeTaSXL/ALyeF/hl4XfRN8J8ThqWLwmVZRk+Clm/GHF2Z+yo4vOMbRpfv8djausnd3o5dgKTkqUJU8PQjKpOfP8A1V/8E9v2BfCv7HPgRdT1lLLX/jX4ssYG8Z+J0USwaRC4WYeFfD0jAGPTrOTi8vFCvqd0rSHFusKt+88H8JYfhvCKdRRrZpiIL61XWqpp6/V6L6Qi/ikvjlrskf4XfS5+ldnv0iuKpYLLZ4nKvDTIMVVjw3kkpOnUzCpFum89zeEZWljMTDXD4eXNHBUJKH8VzZ+jdfZn8chQAUAFABQAUAeM+Nv+SvfBD/upX/qMWlAHs1ABQAUAFABQAUAFABQBxnxH/wCSeePP+xM8Uf8ApjvqAD4cf8k88B/9iZ4X/wDTHY0AdnQAUAFABQAUAFABQAUAfk18R/8Akofjz/sc/FH/AKfL6gD/0/7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAeLeDv2c/gR8PvHGtfEnwR8JvAvhfx54g+0/2v4p0bw/ZWWrXX21995tniXFr9rYk3X2NLf7QGYTblZlbzMNk2VYPFVMbhcvwtDF1ub2lenSjGpLm1lZpe7zfa5eW/Xdo/SeIvGLxT4t4Yy3gzibj7ijPOFcp9j/Z+R5jm2JxOAofV48uH5qU5t1/q6SVD6y6vsbJ07NKR7TXpn5seM/tB/8AJIfF3/cA/wDUn0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4/8A+pPrVAHs1AH8L/8AwfAf8kH/AGC/+yufGH/1DfClAHsv/Bk//wAmHftSf9nSr/6rDwfQB/Z3QAUAFABQAUAeM+Cf+SvfG/8A7pr/AOoxd0AezUAFABQAUAFABQAUAFAHjPxk/wCaVf8AZZvA3/uUoA9moAKACgAoAKACgAoA/IP9vb9lmeG6vvjj4B04yWs+2Tx9o1lCS1vPwn/CTW0UYJMM3ypqqgYjkxdjCvLX87+LPAkozq8U5TRvTlaWbYanHWEtvrsIpP3ZaKuraP8Aee6m1H+E/pM+DFSnWxPiNwxhHKhVtPifAYend0aukVm9KEdfZ1NI42Kg1Cdq+ilM8M/Zn/ayuvAXhDxP8IfHU8134O1zw94hsfDGpOzSzeGdV1HS7uGCyfO4tol7dSqpUf8AHhNJ5qYgaRF8Xwz8RP7EnTyLOajeVVZ2wuKk23l9SbS5J/8AULN6vf2UnzK0HJHyf0ffHb/VCrQ4N4sxEnwziK3LluY1HKUskr1Za06j95vLas3eSWuFm3Ujek5wj+3Pw0kjm+HPgCWJ0kjk8FeFmSSNg6Op0OxIZWXKsCOhBwe2a/qCE4VIRqU5xqU5xU4Tg1KE4yV4yjKLacWndNNprW73P9FKVWliKVOvQqQrUa0I1KVWlONSnVpzXNCpTnG8ZwlFqUZRdmndXujtqo0CgAoAKACgAoAKACgDxnwT/wAle+N//dNf/UYu6APZqACgAoAKACgAoAKACgDxnxt/yV74If8AdSv/AFGLSgD2agAoAKACgAoAKACgAoA8Z/aD/wCSQ+Lv+4B/6k+i0AezUAFABQAUAFABQAUAFABQB4z8G/8Amqv/AGWbxz/7i6APZqACgAoAKACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQAUAFABQAUAFABQAUAeM+Cf+SvfG/wD7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/uUoA9moAKACgAoAKACgAoAKAOM+I/8AyTzx5/2Jnij/ANMd9QAfDj/knngP/sTPC/8A6Y7GgDs6ACgDzL4t/Gn4R/ATwXqnxG+NfxK8E/CrwLosEtxqXirx54j0vw1o1vHDGZXUXmqXNvHPcbFJjtbfzrqY4WGGRyFoA/kX/wCCgn/B4x+yl8F/7b8DfsMfD7U/2n/Hlsbizj+JHigX/gn4MaddoTH9psI5I4vF/jOFcrLCbS00LT59pVdSZGDsAfxV/tZf8FTf+CoX/BWTx5b+CPiF8TPiZ8RbbxHqHleGf2d/grpGsaX4HDzuIYrSy+Hvg9JrjX3VXijkvfELa3dHaJZblcFqAP1w/wCCff8AwaH/ALc/7SZ0Pxt+1rremfsefC68Nvdz6DqsEHir43app75Mkdr4Ps7j+x/C1y6FGjk8U6slzEGbzNHdhsYA/t5/Yj/4IEf8Ezv2GfCc+jeBfgTpnxL8X6rpv9n+Jfif8ZnXxz4x1gSxIl0bJbqKDRPC8MzoZIofDWlabNAGCi7crvblxeBwePpOhjcNQxVKSs4Vqcai17cyvF+cXF+fWP1HCfG/F/AmZ0s54N4lzvhnM6M4zhi8mzHE4Go5R2VVUKkIV4d6daNSnLaUGkub5q/4KF/8Exf2R/g98NvEXxr8MeP9U+CLWb7bLwhcI/i7Q/E2sXLE22h+G9Nu7211q0vJgD5aRalcWVtErz3CQwqWX8j4w4G4ey7BVszoYueV8vw4d3xFKvUl8NKjTk1UjJ9FGbit3ypH+sf0RPpt/SA8Q+M8o8NM74UwPibHEx5sTxDSlHh/NMly+hG1bM84xtDDVstxGHptrnlUwVHE1ptU6Uqs5WP5x4LK5vbh7fTre7vnCXMyRwWzy3BtrWKS4nuHt4DOUSC1ikuLkhpI4Io5JHl8tGkr8XUZTk4wUpvV2UW5csU220r2tFNvWySbd0mf7HVcTRw1GNbGVqGFg5UaUp1a0KdFVq9SFGlSjVq+zUpVa9SFGimoTq1JwhGKnNRPtv8AYb/bOj/Y18fXfi8fCTwh8QDq8A06/wBXv5L+z8ZaVpcjxm5g8M6s1zdaVp3nKh85To4mvN3k3N40CoifUcK8SrhrFyxP9n4fF+0XJOpPmjiacH8SoVLyhC/X93eW0pNJKP8AMv0n/o3z+kdwph+Hnx/xDwksvqvGYTL8JDCYnhzH46EZKhVzvAKjQx2M9m5L2bWY+zw1vaUcOqrnKf8ATf8AAv8A4Ksfse/Gu1tobnx9H8LPEsohSbw38TBFoOLiTrFZa8JJdBv0U8eYt7bydzAuDX7jlXH3DmaRSeLWAruydDHWpavS0at3SkvPmT7rS5/iX4o/QP8ApD+GletUo8KT46yWDqSp5zwVz5r+5htUxOVctLNcLKS15ZYerBbKrK6kfoToPiTw74psE1Twzr2jeItMkx5eoaFqljq1i+RuG26sJp4CSpyAHzjnnOa+wpVqNeCqUK1KtB7TpVIVIP0lByT+/wC+75f5GzXJs3yLFSwOd5VmWT42F+fCZpgcTl+JjZ8r5qGLp0qqs01rHfS73NqtTzQoAKACgAoA8Z8bf8le+CH/AHUr/wBRi0oA9moAKACgAoAKACgAoAKAOM+I/wDyTzx5/wBiZ4o/9Md9QAfDj/knngP/ALEzwv8A+mOxoA7OgAoAKACgAoAKACgAoA/Jr4j/APJQ/Hn/AGOfij/0+X1AH//U/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoAKACgCKeCG6hmtrmGK4t7iOSGeCaNJYZoZVKSRSxOGSSORCUdHVlZSQQQSKmUYzjKE4qUJxcZxkk4yjJWlGSd0002mmrNOzvcipTp1qdSjWhCrSqwlTqU6kVOnUpzTjOE4STjKEotxlGSaabTTTsfil+2L+xdc+BJdT+KHwssJbrwXI8194i8OWyGSfwqWzJNe2SDLzaCTud1AZ9NztfNuEdP5m8RvDOplk62d5BRlVy2cnUxeCppzqYGUneVSjFe9LCt3bSbdG9n7luX/Pbx5+j5X4dqYvjDgrC1MRkNWc6+Z5PQhKdbJpzfNOthoRUpVcubbbivfwj0blScXHj/ANlD9tPWPhDJY+BviBJd658NmkWGzuRuuNV8JB2+9ZhiWu9JUndJp5O+AbmtMA+TXncA+JmJ4edLK83lUxWSt8tOprPEZfd70761MOutFr3P+XdtTwPBP6QeYcCzw/DnFE6+ZcJSmqdCtrVxuR80tZULvmr4JN3nhXLmpK7ot35D9yPD3iLQ/Fmjaf4h8N6pZ6zouqW8d1YajYTLPbXEMi7lZXUkhhnbJG4WSNwUkRWBWv6jweMwuPw1HGYKvTxOGrwVSlWpSUoTjJXTTTdmtmnaUXo1dM/0byrNcuzvL8LmmU4yhj8vxtKNbDYvDVFUpVac1dNSTdmtpQlyzhK8ZxUotG1XSegFABQAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM+Nv+SvfBD/ALqV/wCoxaUAezUAFABQAUAFABQAUAFAHjP7Qf8AySHxd/3AP/Un0WgD2agAoAKACgAoAKACgAoAKAPGfg3/AM1V/wCyzeOf/cXQB7NQAUAFABQAUAFABQAUAeM/83C/90Z/93egD2agAoAKACgAoAKACgAoA8Z/aD/5JD4u/wC4B/6k+i0AezUAFABQAUAFABQAUAFABQB4z+z5/wAkh8I/9x//ANSfWqAPZqACgAoAKAMf/hIvD/8AbH/CO/25o/8AwkHk/af7D/tOy/tj7Pt3+f8A2Z5323ydnz+b5Ozb82cfNXb/AGbmP1L+0v7Pxv8AZ3P7P+0Pqlf6l7S/L7P617P6vz83u8vtOa+nLc5fr2C+tfUfrmF+u8ntPqf1ij9a5LX5/q/P7bktrzcnLbW5sVxHUFABQB4z4J/5K98b/wDumv8A6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/AJpV/wBlm8Df+5SgD2agAoAKACgAoAKACgAoA4z4j/8AJPPHn/YmeKP/AEx31AB8OP8AknngP/sTPC//AKY7GgD51/a1/b2/ZB/YY8HT+N/2p/j14A+EmmrBJNp+la5rEU/i7xA6I7pbeG/B2n/avEuuXE5QxRDT9Nli8xgJZolLOgB/FZ/wUD/4PPtTum1vwJ/wTk+Cyabb/wCkWdv8ePjtZJcXzjIWPUvC3wusbtra23KS0UnizVLl1ba02iDJSgD+UTXPGP8AwVC/4LI/GyO0vr79oT9sf4mahef6JomnxatrPhjwrHMzMgttKsltPA3gTSreNyonki0e2jt1HmzttwwB/T//AME+f+DMj4k+Kjofj3/gon8YrX4caK5t72b4HfBi6tNf8aXMW5JDYeJviHdQzeHdCM0LGO4h8PWGvXMEiui6hG2HUA/tn/Y0/wCCbP7Ev7AXhe38M/ssfs/+BvhxOtvFBqXjNdOTWviL4hdITC9zr/jzWPtniS/lnQnzoVv4LH5iI7OJAEoA+5aAOH+JPxH8G/CPwP4j+Ivj/WrXw/4T8K6bPqeraldOFVIYVykECEhri8upNtvZ2seZLi4kjjQZauXG43DZdha2NxlWNHD4eDqVJy6JdErrmlJ6RitZOy0veP1HBnBvEfiBxPk3B/CeW182z/PcbSwOX4KhFtyqVJWlVqySao4ehDmq4ivP3KVKEpu9rS/it/bP/a5+I/7dPxqt5rGy1VfCVrqZ8P8Awm+HNj5tzLDFeXAtre7ntYci98Ta45ie8nCN5KsllbFLeFi/8y8S8Q43irM48kan1eNT2OX4KF20py5YycVdSr1dOZ9F7qslc/6Ufo3fR+4N+i74a1qeJxOBef4jBLNuPuMMVyUYVKmGoutVw9KvUs8NkuVxU44elzR9o4yxNbmrVYqP71f8EvP2EtI/Z3m8d6x8UtC0nWPjPJofhGG8kuoIb+Dwdpfi3SL7Ur/wzYCYPD9qlt2tbTXbtUZrl4pbRGW0DRv+ycFcG0ciwqxeOpwq5riadqnMlKOFpTWuHp305mnatNJuXwaRVpf4/fTM+mHnHjfxNU4V4JzHGZX4XcO45SwCw1SphcRxPmeDqe5n2OlTaqfV6dSPNlGFcoxowSxUv9oqXh7R+0d/wSd/ZV+P0t9rmmaBP8IfG12ZZX8RfDyO2sdOu7qVt7T6r4WlT+xrxmbAeS0TTbgrn9/lia6M68P8gzdzqwovLsVK79tg1GEJSf2qlB/upa78qg7Lf+XwfBz6e/jv4Tww2WY3NqXiDwzh+SEcn4unXxOMw9CC5VSwGe02sxw6SvaOIljKSdn7Jpcp+Jvxf/4Im/tV+B7u+n+HF14Q+LmgQ75LSTTdVi8NeIpIskrHNouvSRWpuFTAYWuq3Cu+dmAVWvzDMfDDP8LKbwUsPmNJaxcKioVmuzpVfd5tlpUkm9tPi/0w8Pf2l/gPxPh8LS4yocQ+H+bVOWGIjjMDPOsnhPRSnTzPK1Vrqi5Xa9vl1GUY/FezkfCklt+11+xt4oDOnxf+BWvW8wKuja1omm3kmeMOm7QNZjbb0JvYXXg/K2K+UceIuGq+2Y5VVTtde1pQk+6telUT9Z+rP6khW+j59I3I2oy8PfFHKqtOzi/7OzLG4aFtU4y5c2y2au+mHqRd+qvH+wL/AIJ9fFj4sfGv9lX4c/EH40WElr431QavbSX81gNLl8R6Rp2pT2ekeJJbFUiihk1W0iDu0EUUNw0RuY0Amy39GcIZhmGaZBgsZmcHHFVPaRc3D2br04TcaddwSSTqRWtlZ2vrzH/PJ9LbgHgHw08d+MeEfDbFQr8M4F5fWhhaeL+vU8nzDGYOliMwyaGJc6s6kMDXm4xjVqTqUVNUZSbpn2nX0x/NgUAFABQB4z42/wCSvfBD/upX/qMWlAHs1ABQAUAFABQAUAFABQBxnxH/AOSeePP+xM8Uf+mO+oAPhx/yTzwH/wBiZ4X/APTHY0AdnQAUAFABQAUAFABQAUAfk18R/wDkofjz/sc/FH/p8vqAP//V/uS/4Qn4vf8ARb//ADGvhj/5LoAP+EJ+L3/Rb/8AzGvhj/5LoAP+EJ+L3/Rb/wDzGvhj/wCS6AD/AIQn4vf9Fv8A/Ma+GP8A5LoAP+EJ+L3/AEW//wAxr4Y/+S6APM/+EW+I/wDwuT+zf+Fp/wDE/wD+FZ/bv+Ek/wCEI0L/AJA//CU+R/Yf9j/aPsX/AB+/6f8A2lv+1f8ALrs8r5qAPTP+EJ+L3/Rb/wDzGvhj/wCS6AD/AIQn4vf9Fv8A/Ma+GP8A5LoAP+EJ+L3/AEW//wAxr4Y/+S6AD/hCfi9/0W//AMxr4Y/+S6AD/hCfi9/0W/8A8xr4Y/8AkugA/wCEJ+L3/Rb/APzGvhj/AOS6AD/hCfi9/wBFv/8AMa+GP/kugA/4Qn4vf9Fv/wDMa+GP/kugDzP4xeFviPp3w48RXmvfFP8A4SPSYf7I+16L/wAIRoWj/bPM13S4oP8AiY2dxJc2/wBnuZIbv92p83yPIfEcrlQD0z/hCfi9/wBFv/8AMa+GP/kugA/4Qn4vf9Fv/wDMa+GP/kugA/4Qn4vf9Fv/APMa+GP/AJLoAP8AhCfi9/0W/wD8xr4Y/wDkugA/4Qn4vf8ARb//ADGvhj/5LoAP+EJ+L3/Rb/8AzGvhj/5LoAP+EJ+L3/Rb/wDzGvhj/wCS6AD/AIQn4vf9Fv8A/Ma+GP8A5LoAP+EJ+L3/AEW//wAxr4Y/+S6APM/g74W+I+o/Djw7eaD8U/8AhHNJm/tf7Jov/CEaFrH2Py9d1SKf/iY3lxHc3H2i5jmu/wB4o8rz/ITMcSFgD0z/AIQn4vf9Fv8A/Ma+GP8A5LoA/iO/4PVNC8Z6P8Df2F38U+PP+Exin+LHxcW0h/4RfSvD/wBikTwh4XMsvm6dNK1z5qlU8uUBU27lOWIoA9f/AODMrw/441f9hr9pybwv8Qv+EQtI/wBp1Y57L/hE9I1/7Tcf8K08It9p+06hPFLD+7Kx+SilPk353MRQB/Yl/wAIT8Xv+i3/APmNfDH/AMl0AH/CE/F7/ot//mNfDH/yXQAf8IT8Xv8Aot//AJjXwx/8l0AH/CE/F7/ot/8A5jXwx/8AJdAB/wAIT8Xv+i3/APmNfDH/AMl0AeZ+FvC3xHn+I/xTs7P4p/YNWsP+EH/trWv+EI0K6/t77VoVxLp3/EuluBbaX/ZdsGtP9EZ/tu/z59sigUAemf8ACE/F7/ot/wD5jXwx/wDJdAB/whPxe/6Lf/5jXwx/8l0AH/CE/F7/AKLf/wCY18Mf/JdAB/whPxe/6Lf/AOY18Mf/ACXQAf8ACE/F7/ot/wD5jXwx/wDJdAB/whPxe/6Lf/5jXwx/8l0AH/CE/F7/AKLf/wCY18Mf/JdAB/whPxe/6Lf/AOY18Mf/ACXQB5n8S/C3xHsv+Ff/ANr/ABT/ALb+1/E3wrY6X/xRGhab/ZGsT/b/ALFrn+jXD/b/ALBsl/4ltxttbrzf3zjYlAHpn/CE/F7/AKLf/wCY18Mf/JdAB/whPxe/6Lf/AOY18Mf/ACXQAf8ACE/F7/ot/wD5jXwx/wDJdAB/whPxe/6Lf/5jXwx/8l0AH/CE/F7/AKLf/wCY18Mf/JdAB/whPxe/6Lf/AOY18Mf/ACXQAf8ACE/F7/ot/wD5jXwx/wDJdAB/whPxe/6Lf/5jXwx/8l0Acx438HfFGDwZ4un1L4vjVdOh8Ma/LqGlt8PfDloNSso9Ku3urA3cN00tqLyBZLc3EStJCJPMQFlApNKScZJNNNNNXTT0aad001o0199xSjGcZQnFSjJOMoyScZRkrOMk7ppptNNWadne7Pzq+LX7Buual4I0/wCKPwy1CDV9T1LQtL13UvA1vpMemOYLzTLa8f8AsWeO8mivL6FZCs0D21o1/IrXCYnleNvwXxA8K44j22c8M0VCv71XF5VCyhV+1Krgloo1Hq5ULqM3/D5W7H8V+N30baeMWL4s8PcLGljPfxGZ8NUrRpYl6yqYnKlZKnXbvKpg2lTqN3o8snyHyn8E/wBor4n/AAI1SXQ9O8QarpPhqfUfL8QaDPp1jqT2MqSeVdXNlp2tQMlnqMJDebDG9p9odTHO4J3V+ZcGccZnwbjvYVVVrZXOry47LqvMpUpJ8s6lBT5XRrwd+aNlGbVpxP558J/GHiHwozd4TERxOL4eqYl083yDEc0J0JqXJWxGDjU1wmNpNNyhaMKri4VY3fMftz4El8bfEnwxpni/wf8AtCQavoeqwiWC4h+G/hfzIZMDzrS8h+177W8tn/d3FvL88bjjcjK7f1vlWa4DOsDQzHLq8MRhcRFShOL96L+1TqQu3Tqwek4S1T7pxcv9PuG+Jcm4tyfB57kONpY7LsbTU6VWm7Spy09pQr07uVHEUZe5VoztKEl1TjKXX/8ACE/F7/ot/wD5jXwx/wDJdeie6H/CE/F7/ot//mNfDH/yXQAf8IT8Xv8Aot//AJjXwx/8l0AH/CE/F7/ot/8A5jXwx/8AJdAB/wAIT8Xv+i3/APmNfDH/AMl0AH/CE/F7/ot//mNfDH/yXQB5n4W8LfEef4j/ABTs7P4p/YNWsP8AhB/7a1r/AIQjQrr+3vtWhXEunf8AEuluBbaX/ZdsGtP9EZ/tu/z59sigUAemf8IT8Xv+i3/+Y18Mf/JdAB/whPxe/wCi3/8AmNfDH/yXQAf8IT8Xv+i3/wDmNfDH/wAl0AH/AAhPxe/6Lf8A+Y18Mf8AyXQAf8IT8Xv+i3/+Y18Mf/JdAB/whPxe/wCi3/8AmNfDH/yXQAf8IT8Xv+i3/wDmNfDH/wAl0AH/AAhPxe/6Lf8A+Y18Mf8AyXQB5n4p8LfEeD4j/CyzvPin9v1a/wD+E4/sXWv+EI0K1/sH7LoVvLqP/EuiuDbap/alsVtP9LZPsWzz4N0jEUAemf8ACE/F7/ot/wD5jXwx/wDJdAB/whPxe/6Lf/5jXwx/8l0AH/CE/F7/AKLf/wCY18Mf/JdAB/whPxe/6Lf/AOY18Mf/ACXQAf8ACE/F7/ot/wD5jXwx/wDJdAB/whPxe/6Lf/5jXwx/8l0AH/CE/F7/AKLf/wCY18Mf/JdAB/whPxe/6Lf/AOY18Mf/ACXQB5n8YvC3xH074ceIrzXvin/wkekw/wBkfa9F/wCEI0LR/tnma7pcUH/Exs7iS5t/s9zJDd/u1Pm+R5D4jlcqAemf8IT8Xv8Aot//AJjXwx/8l0AH/CE/F7/ot/8A5jXwx/8AJdAB/wAIT8Xv+i3/APmNfDH/AMl0AH/CE/F7/ot//mNfDH/yXQAf8IT8Xv8Aot//AJjXwx/8l0AH/CE/F7/ot/8A5jXwx/8AJdAB/wAIT8Xv+i3/APmNfDH/AMl0AH/CE/F7/ot//mNfDH/yXQAf8IT8Xv8Aot//AJjXwx/8l0AeZ/DTwt8R73/hYH9kfFP+xPsnxN8VWOqf8URoWpf2vrEH2D7brn+k3CfYPt++L/iW2+61tfK/cud70Aemf8IT8Xv+i3/+Y18Mf/JdAB/whPxe/wCi3/8AmNfDH/yXQAf8IT8Xv+i3/wDmNfDH/wAl0AH/AAhPxe/6Lf8A+Y18Mf8AyXQAf8IT8Xv+i3/+Y18Mf/JdAB/whPxe/wCi3/8AmNfDH/yXQAf8IT8Xv+i3/wDmNfDH/wAl0AH/AAhPxe/6Lf8A+Y18Mf8AyXQB5n/wi3xH/wCFyf2b/wALT/4n/wDwrP7d/wAJJ/whGhf8gf8A4SnyP7D/ALH+0fYv+P3/AE/+0t/2r/l12eV81AHpn/CE/F7/AKLf/wCY18Mf/JdAB/whPxe/6Lf/AOY18Mf/ACXQAf8ACE/F7/ot/wD5jXwx/wDJdAB/whPxe/6Lf/5jXwx/8l0AH/CE/F7/AKLf/wCY18Mf/JdAB/whPxe/6Lf/AOY18Mf/ACXQAf8ACE/F7/ot/wD5jXwx/wDJdAB/whPxe/6Lf/5jXwx/8l0AeZ/GLwt8R9O+HHiK8174p/8ACR6TD/ZH2vRf+EI0LR/tnma7pcUH/Exs7iS5t/s9zJDd/u1Pm+R5D4jlcqAemf8ACE/F7/ot/wD5jXwx/wDJdAB/whPxe/6Lf/5jXwx/8l0AH/CE/F7/AKLf/wCY18Mf/JdAB/whPxe/6Lf/AOY18Mf/ACXQAf8ACE/F7/ot/wD5jXwx/wDJdAB/whPxe/6Lf/5jXwx/8l0AH/CE/F7/AKLf/wCY18Mf/JdAB/whPxe/6Lf/AOY18Mf/ACXQAf8ACE/F7/ot/wD5jXwx/wDJdAHmfwd8LfEfUfhx4dvNB+Kf/COaTN/a/wBk0X/hCNC1j7H5eu6pFP8A8TG8uI7m4+0XMc13+8UeV5/kJmOJCwB6Z/whPxe/6Lf/AOY18Mf/ACXQAf8ACE/F7/ot/wD5jXwx/wDJdAB/whPxe/6Lf/5jXwx/8l0AeZ/GXWvH/wAFfhX4++K3if45rHongTwxqniG7Vvhv4YQ3L2Vuxs7CNvtRPnajetb2MGAxMtwmAf4fquB+E8w464v4c4QyuEp47iDNsHltLlV/ZRr1YqviJdOTDYdVa829FCk/I+e4s4iwXCXDWd8S5hJRwmTZdicdUvp7SVKm3Sorb3q9Z06Ubfamt72P5Cf2Z9X+On7SH7c3w88SaB4w1u3+KfjH4nQ+KNQ8XLJLcSaNpttetrOuXc0KlITpGn6RBcW401gllJAIrHYkcqiv90fFXL+BvDH6PHE2T47LMDPhnJeDamSYTL5UKMY4zH1cIsvy+UINRi8bXx9SliZVVeoqvPV5rxcj/JPw7xvF3H3jXkOZ4PH4uOe5rxNDNMRjI1areFwdPEPGY2MmndYSjg4VKKp6Q9ny07a2l/aF/whPxe/6Lf/AOY18Mf/ACXX+Ah/saH/AAhPxe/6Lf8A+Y18Mf8AyXQAf8IT8Xv+i3/+Y18Mf/JdAHmfhbwt8R5/iP8AFOzs/in9g1aw/wCEH/trWv8AhCNCuv7e+1aFcS6d/wAS6W4Ftpf9l2wa0/0Rn+27/Pn2yKBQB6Z/whPxe/6Lf/5jXwx/8l0AH/CE/F7/AKLf/wCY18Mf/JdAB/whPxe/6Lf/AOY18Mf/ACXQAf8ACE/F7/ot/wD5jXwx/wDJdAB/whPxe/6Lf/5jXwx/8l0AH/CE/F7/AKLf/wCY18Mf/JdAB/whPxe/6Lf/AOY18Mf/ACXQAf8ACE/F7/ot/wD5jXwx/wDJdAHmfxL8LfEey/4V/wD2v8U/7b+1/E3wrY6X/wAURoWm/wBkaxP9v+xa5/o1w/2/7Bsl/wCJbcbbW6839842JQB6Z/whPxe/6Lf/AOY18Mf/ACXQAf8ACE/F7/ot/wD5jXwx/wDJdAB/whPxe/6Lf/5jXwx/8l0AH/CE/F7/AKLf/wCY18Mf/JdAB/whPxe/6Lf/AOY18Mf/ACXQAf8ACE/F7/ot/wD5jXwx/wDJdAB/whPxe/6Lf/5jXwx/8l0AH/CE/F7/AKLf/wCY18Mf/JdAH5J/8FDv+Csf7JH/AAT+8K+JtG/aC/bd8Oa74/n0TVLW3+BXw98CeF/FnxN117m0uLX+zLzS/D+ozN4SgvJGFpPqviG60lbKOb7VH5hiCUAfxWftj/8AB27+3N8TdLufhv8Asfm3/Zt+G8Gmw6JYeK77SPC3iT4uy6ZbWsVpB9k1WTS59J8MzQpEqwXNhFqGqhfnbU1mLMgB+QH7OX7Af/BUP/gr38T7zxd4B8A/GH49axr2o58TfHb4q6zq8XgfTnuppHkm1j4leMZf7O8iKQuRpujTX9zCP3dtppAVKAP7C/2Hf+DMT4WeCLbQfG37b/x6b4o+MIxbX1z8KPhxol7pvw30+5HlT/YdX8T3Oqab4k8VJC++3uktbXQLC5CtgTwvQB/WR8CP2OdC/Zg8D2Hw2/Z51DwB8HfA+mwxw2/h7wD8EfA+gWsghGElv5rSRLzVbvBO++1S4vLyQkmSdiTQB7X/AMIT8Xv+i3/+Y18Mf/JdAB/whPxe/wCi3/8AmNfDH/yXQAf8IT8Xv+i3/wDmNfDH/wAl0Afzef8ABaHx5+0NYfEjwh8FfFXifWdc+FTaFpnivRLi28O2nh7TfFfiW5nvbW7W4j0pXTUrjQmhigtbSa4lEEk5uUtlllSWvwvxTx+ZSx+FyzlqQy1UIYinyqXLicRKUoycml7zpWUYw95Jty5bu5/t9+y+4F8O6PA3E3iPGrgcb4iSznG5Hj5YipRlieG8goUcLWw8MNSk+bC0819pUr4nF2i60KSoe09nTlA+l/8AgmN/wTT8XeB9I0D9pP4g6xD4O+IerWn2zwD4b1TwjYeILvwro17F+5169ttWuoobLxBqVu+6zQ2rXOm2UgdZYridmX3fD7g36jTp53mdL/basebBUJrXDUpLStOLWlepF+71pwe/NK5+JfT6+mA+N8dj/Bbw1zO/CGWYl0OMs9wVX3OJcyw87SyjC16c7TybA1Y2xMoPkx+KjZudGioS/WDwt4W+I8/xH+KdnZ/FP7Bq1h/wg/8AbWtf8IRoV1/b32rQriXTv+JdLcC20v8Asu2DWn+iM/23f58+2RQK/Vz/ACuPTP8AhCfi9/0W/wD8xr4Y/wDkugA/4Qn4vf8ARb//ADGvhj/5LoAytX+FnxD8QWoste+K2la3ZB1kFpq/wl8G6laiRTlZBb3ss8QdSAVYJuB5BGKzqUqVaPJWp06sL35akIzjdbO0k1denpbU78vzTM8pr/WsqzHH5ZieVw+sZfi8Rgq/JL4oe1w9SlU5Wt43afU0YfAfxZt4ore3+NUcEEEaRQww/DLwtFFDFGoSOKKNLpUjjjQBERFVVVQFAAAq0kkkkkkkkkrJJaJJLRJLZL9DjqVKlapOrVqTq1as5VKlSpKU6lSpNuU5znJuU5yk3KUpNybbbbbbJP8AhCfi9/0W/wD8xr4Y/wDkumQH/CE/F7/ot/8A5jXwx/8AJdAB/wAIT8Xv+i3/APmNfDH/AMl0AH/CE/F7/ot//mNfDH/yXQB5n4p8LfEeD4j/AAss7z4p/b9Wv/8AhOP7F1r/AIQjQrX+wfsuhW8uo/8AEuiuDbap/alsVtP9LZPsWzz4N0jEUAemf8IT8Xv+i3/+Y18Mf/JdAB/whPxe/wCi3/8AmNfDH/yXQAf8IT8Xv+i3/wDmNfDH/wAl0AH/AAhPxe/6Lf8A+Y18Mf8AyXQAf8IT8Xv+i3/+Y18Mf/JdAB/whPxe/wCi3/8AmNfDH/yXQAf8IT8Xv+i3/wDmNfDH/wAl0AH/AAhPxe/6Lf8A+Y18Mf8AyXQBzPjXwh8Urbwb4tudQ+MP9p2Fv4Z16e+03/hX3h2y/tCzi0q6kubH7ZBdNNafa4VeD7TCrSweZ5sYLqooAPBXhD4pXPg3wlc6f8Yf7MsLjwzoM9jpv/CvvDt7/Z9nLpVrJbWP2ye6Wa7+yQskH2mZVln8vzZAHZhQB03/AAhPxe/6Lf8A+Y18Mf8AyXQAf8IT8Xv+i3/+Y18Mf/JdAB/whPxe/wCi3/8AmNfDH/yXQAf8IT8Xv+i3/wDmNfDH/wAl0AH/AAhPxe/6Lf8A+Y18Mf8AyXQAf8IT8Xv+i3/+Y18Mf/JdAB/whPxe/wCi3/8AmNfDH/yXQAf8IT8Xv+i3/wDmNfDH/wAl0Afnn41gvLbxl4tttQvv7Tv7fxNr0F9qX2aKy/tC8i1W6jub77HAWhtPtcyvP9mhZooPM8qMlFU0Af/W/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgD4e/bC/Y0tPifb33xG+GtlBZfEK2hefV9HhCQWvjCGFMl0ACxw69Gi4jl+7qChYZiZxG7fjniN4bU89hVznJKUKWcQi5YjDRtGGYxit1paOLSVoyu41l7skpJOX8qePPgDQ4xpYjizhHD08PxTSg6mOwFNRpUc9pwTcpRSajDM4pe5UvFYr+HU/eKE5fml+z5+0P45/Zq8Z3EElve3Phue9+yeMfBd8ZICXgk8qa5tYpsfYdaswGEcmFWYL5FzujOV/FOEOMc14JzKcJQqTwU6vs8xy2reDvF8spwUv4WJpq9nZKVuSd18P8i+F3ipxH4R5/VpSpYitlNTE+wz7h/EuVJ81OXJUrUYTj/s2YUEmoztadvZVVKLUof0DfDn4keD/ir4WsPF/grV4NW0m+jUt5bKLqxudoMthqNtuMlpe27EpLDKqnK7kLoVdv65ybOsuz7A0sxyzEQxGHqpXs17SlO3vUq0N6dSD0lGVvLTWX+oPCnFuRca5Nhc94ex1LG4LExTfLJe2w1W3v4bF0vioYik7xnTmlteN4OLO7r1T6QKACgAoAKAPGfBP/ACV743/901/9Ri7oA9moAKACgAoAKACgAoAKAPGfG3/JXvgh/wB1K/8AUYtKAPZqACgAoAKACgAoAKACgDxn9oP/AJJD4u/7gH/qT6LQB7NQAUAFABQAUAFABQAUAFAHjPwb/wCaq/8AZZvHP/uLoA9moAKACgAoAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAH5wf8FVP2+vix+xyvwv8OfCTQNDbWfHsOtatfeK/E2mzatpljZ6JcWdsNIsrJZreB9Qu3uzPPJPI5itkjMUYZy9f2t9EX6O3B3jY+LM04yzHMFgeHqmAwWHyjKsVTwWKr18dTr1Xja+IlSr1Fh6UaKp04U4R56spc82oqJ/LH0kvGzibwqjw7gOGMDg3i86ji8TWzLMMPPFYejSwk6VP6rRoqpShKvUdRznKcnyU1HljeTZ8/wD7KH/BcPwz4417SvBP7TPhPS/h5cah5Nnb/Enw3c3k3hUXzFY1bxDo91HPe6Lbzs25r61vL20t8EzRQxkOv6N4wfQIzTIcuxmfeFecYviWnhuetU4XzSnRhm/sFeTWW42j7Khj6tNKyw9Wjh61TT2dScvdl8P4Z/TCy/Ocbhsn8Qstw2RTr8lKGf4CdWWW+2bSTx2FqqdXCU5vV1qderSp/aUY+8fvjY63o2p6Pb+INO1bTr7QbuyGpW2s2l7bT6XPpzRecL6K/jka1e08kGX7QJfKCAsWABK/53V8BjsLjamW4nB4qhmFGu8LVwNahVp4uniVP2f1eeHlBVVW5/c9m4c7k0lFt2P7Wo4zCYjCwx1DE0K2Cq0ViKeLp1YTw06Djz+2jWUnTdLl97n5uVLVtWZ/KL/wVm/4KJwfHbWp/wBnz4M6zJJ8JPC+pE+MfEVnIUh+IPiPT5sR21q64MvhjRrhC1uTxqd+ouyBBDAj/wCv30O/o01PD7A0/EjjjAxjxlm2FSyTLa8VKfDmWYiF5VasWrRzXHU5JVF/zC4d+xVqk6kj/NP6TfjvDjPFz4G4TxcpcMZdiL5rj6UmoZ3j6E/dp0mrc2XYSavC91iK0fa3UIQR9jf8ETP2Nte8BaPrX7UnxC0pdO1DxzoY0D4YadewOmpW3hie5WfVvEzq4U20evtb21ppybd8unwTXBKJcoj/AIn9O/xuy7iHG4Hwl4bxbxOHyDH/ANo8V4qhUjLC1c1p0nTweVRcdKssuVSrWxLvywxM6dNKUqU5x/VfoieFGNyTCYvxGzzDKhXznBrBcO4etBrEU8unPnxOYNS1prGuFOnQXxSoRnN2jUipf0EV/nEf3AFABQB4z4J/5K98b/8Aumv/AKjF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/uUoA9moAKACgAoAKAK17e2em2lzqGo3dtYWFlBJc3l7ezxWtpaW0KGSa4ubmd44YIIkUvJLK6xoilnYAZoA/nj/4KCf8ABzb/AME1f2Gm1vwj4e8eS/tS/GfSjcWp+HfwMu7HWdF03U4W8trXxT8SZZT4S0fy3KmaHTp9e1BU3AWIcYoA/h0/b/8A+Dob/gpT+202s+DPh94st/2UPg9q5nsY/A/wRuL228Y6tp9yGg+y+I/ibPs8UXr3MZTzrbQT4fszKWVLdkagD50/Yv8A+CCf/BTj/goDBffFSw+FeufDb4WXNtf+JNb+OX7QE2q+F7DWbW3hlvL+/wBDsNWhn8Y+N76VIzIk1hpz2lyXWSTVFUl1AP7fv+CbP/BqT/wT4/Zw8P8Agf4pftE22pftf/Fi80bRPERg8f266T8I9C1C+sLXUPJ0r4dWEzJraWVw4+z3Xi3U9WWXZubTogxiUA/qe8L+FPC/gjQdN8LeDPDmheEvDOjWyWekeHvDWk2Gh6JplpGAsdtp+laZBbWNnAgACxwQRoOyjncAb9ABQAUAFABQBkat4f0HXvsn9uaHpGs/YJ/tNj/a2m2Wo/YrkbcXFp9sgn+zz/Kv72HZJ8q/NwtZ1KNGty+1pU6vI+aHtKcZ8su8eZPlfmreux6GAzfNcq+sf2XmeYZb9bpexxX1DG4nB/WaLveliPq9Wn7alq/3dTmj7z0V3za9aHnnjPgn/kr3xv8A+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPjb/AJK98EP+6lf+oxaUAezUAFABQAUAFABQAUAFAHGfEf8A5J548/7EzxR/6Y76gA+HH/JPPAf/AGJnhf8A9MdjQB2dABQAUAFABQAUAFABQB+TXxH/AOSh+PP+xz8Uf+ny+oA//9f+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoA+Bv2tv2NdM+MkFz448BRWejfEm2hZ7qAhbfT/ABfHEvyRXrKu221YAbINQKlZ8rHdZwJa/JvEHw3ocSRnmmVRp4bOoRbqR0hSzCMVpGq0koYi1lCq7qW1TZM/mXxx8AsHx9TrcR8NQoYDi6lTcq9N2pYXPYwj7sMQ0uWljkly08U1appGtzWU4/kz8Mvit8V/2XvH92LOG+0i9s7sWfivwZrUc0NjqkcD7ZLe9tTwkwQH7JqNvl4/kkhlkiIDfz/kef5/wLm9T2cauHq0qnssfluJjKNKvGLtKFSm/hla7p1oO60knKKR/EPB/G3Gvg3xPXWHhiMDiMPX+r53kGYRqU8PjI05WnSxFF35Kllehi6V5R92dOU4O8v3j+BH7RXgD4+aAuoeGbxbLXrSGM674UvpY11bSpmHzOqZH22wZ8iG+t1MTcLKIpDsb+reFOMco4swirYGqqeKppfWsBVlFYihLq0r/vaTfw1Yc0eklGVub/Svw18VuGPE3LI4rKMQsPmdGnF5lkmJnFY7BTa1ko3X1jDOV1TxNJSg9pqE3ynvlfWH6aFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM+Nv+SvfBD/ALqV/wCoxaUAezUAFABQAUAFABQAUAFAHjP7Qf8AySHxd/3AP/Un0WgD2agAoAKACgAoAKACgAoAKAPGfg3/AM1V/wCyzeOf/cXQB7NQAUAFABQAUAFABQAUAeM/83C/90Z/93egD2agAoAKACgAoAKACgAoA8Z/aD/5JD4u/wC4B/6k+i0AezUAFABQAUAFABQAUAFABQB4z+z5/wAkh8I/9x//ANSfWqALvxg+Bfwj+PvhpfCPxg8B6B470KKV7m0ttatS8+m3bx+U13pd/A8F/pt0UwDNZXMLvsQPuCqK+x4K8QOM/DrNHnPBXEOY8PZhOEaVerga3LTxVGMudUcXhpqeHxVJS1UK9OcVzS5UuaR8zxTwbwxxrl/9l8U5Lgs5wUZOdKni6d54eo48rq4avBwrYepaycqVSDdkpcySR/Nx+3h/wRt8Q/DeLVPih+yxb6p4w8EW6SX2t/DOeWTUPFvhuCNd89z4euHL3HiTS4lBlezk3avapv2fbkRRX+n/ANHz6bmW8UTwnCfi3VwmS59UlChgOKqcIYbJs0qSfLTpZlTj+7yvFzbUI1opYKrLlv8AV3Jn8CeM/wBFLHZDHE8R+G9PEZplEFKti+HpzlXzLL4RV5zwE5Xnj8PFJydKT+tU43s60Ufln4T/AGwP2kvhv8IPGn7PWh/EPxBpfw98Ur/Z+p+H7tpvt+gpFcY1PT9Bu5yL7w/Dqao1jrNjbmOKWHdGIoJt8lf1vnPgt4X8UcaZF4k4/hrLsXxLlL+tYXMqKh9XzCU6d8Licwo019XzGeFclXwWIqqc4Tak5VIcsY/zhlninx/w/wALZvwLg88x2GyPMV9XxGBquXt8FGM/9ooYKrP99gYYhJ0cVQp8sZQ0SjK7Pt//AIJS/sC6L+1H40u/ij8TbrTbj4U/DrU7YS+EIdRtJdW8YeIEK3FvYarYQTNe6d4ZgAWW9luIoW1ZsWdsxgNw9fgn0vfpE47wlyOjwnwrRxVPi/ibC1XDOp4atDB5Jl0r06uIwmInCNDE5rU1jQhSnNYNfv61p+yjH9g+jV4J4TxGzarxJxDUoVOG8hxNNSyuNelLE5pjo2qU6OJoQn7Whl8NJVZVIw+s/wAKm5Q53H+wSysrTTrO00/T7aCysLG2gs7KztYkgtrS0tolht7a3hjVY4YIIUSKKJFVERQqqAAF/wAWK9etia1bE4mrUr4jEValavXrTlUq1q1WbnVq1Kkm5TqVJyc5zk3KUm2222z/AFMpUqVClToUKcKVGjThSpUqcVCnTp04qMKdOEbRhCEUoxjFWSSSskWayNAoAKAPGfBP/JXvjf8A901/9Ri7oA9moAKACgAoAKACgDIs/EGgahqN9pFhrmkX2raZ/wAhLS7PUrK51HT8sFH26yhnkubT5iF/0iKL5iB1IFZxrUZznThVpyqU/jpxqRlOH+OCblH5pfO56OIyjNsJg8LmGLyzMcLgMb/uWOxGCxNDB4uyu/quJqUoUa+iv+6nPRX1Sua9aHnHjPxk/wCaVf8AZZvA3/uUoA9moAKACgDiPiJ8TPh38IvCeq+PPin458J/DrwVodvJdav4q8a+INL8NaDp8EUbyu1zqmr3VpaIxRGMcXm+bKRsiVnKqwB/J1/wUF/4O/v2K/2ejrfgj9jfwvqX7XfxJs/tFpF4uEt34P8Aghp17Hwk3/CQ3MP/AAkXi+3Vs8eH9Lt7KbH7rWADuoA/iW/bR/4LQ/8ABUH/AIKh+Jz4I8dfFbxrJ4V8SX/2XQP2d/gLpureHPCN4ZndLbTm8NeGGuvEHjS7MTrEzeIL3W5bgrvEUZJWgD9C/wDgnx/wacf8FB/2sv7D8a/tDxWH7HHwivzbXjy/EG0bVvi5q+mSGOQnRvhtZTRy6TJcW0ge2uPF+paNt3bmsZtrR0Af3GfsA/8ABvB/wTR/YAj0fxF4X+D9t8bfjDpscEknxi+OsNh4116HUI02yXnhrw7cWieEvCSuwEkQ0vSXvoGVW/tKVgWoA/Zj4hxxxfDnxzFEiRRReCfE0cccaqkccaaFeqiIigKiIoCqqgKqgAAAAUAP+HH/ACTzwH/2Jnhf/wBMdjQB2dABQAUAFABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z42/5K98EP8AupX/AKjFpQB7NQAUAFABQAUAFABQAUAcZ8R/+SeePP8AsTPFH/pjvqAD4cf8k88B/wDYmeF//THY0AdnQAUAFABQAUAFABQAUAfk18R/+Sh+PP8Asc/FH/p8vqAP/9D+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoAKAPmH9or9lrwL+0BpLTX0aaD42srdo9G8W2cKm4UqCYrPV4lx/aWnM3ylHIntw2+3kUqEf4bjHgTKuLsO5VYrCZnTg1hswpxXPp8NPER09tRvpq+eC1heyifjvir4M8N+J+Cc8RGOW8Q4ek45fnlCmvappPkw+OguX61hHJ2ak/aUlrSkrKEvw28X+CPjB+y18RLZrptS8L6/ptwbjQvEmlySjTdYtVfiayuwvk3ltMqhbqxnUsnMVzAMAt/LmY5ZxHwJnMPaOtgcXQnz4XG0JS9hiaafxUqloxqQklapSmrracFdc3+cme8O8eeDXFVJ1ni8mzTB1XVy3NsHKawmOoxlpUw1bl9niKNRK1bD1btawq01a8v1e/Zm/bp8M/E9bDwf8TJLHwn48YR29rqTOlt4e8STYCgwySME0vUZSNxspm+zyMxFtMMCOv33gjxUwOeKjl2dull+bNKEKzahg8bLvGUnahWlp+7lLlk2+Ru3If2x4QfSRyfjFYbIeL5YbJOJWo0qOLclRyrN52SXs5T0wWKm9XQqS9lN6UZx0hL9CAQQCCCCMgjkEHoQe4Ir9fP6lTvqtU9U11FoAKAPGfBP/JXvjf8A901/9Ri7oA9moAKACgAoAKACgAoAKAPGfG3/ACV74If91K/9Ri0oA9moAKACgAoAKACgAoAKAPGf2g/+SQ+Lv+4B/wCpPotAHs1ABQAUAFABQAUAFABQAUAeM/Bv/mqv/ZZvHP8A7i6APZqACgAoAKACgAoAKACgDxn/AJuF/wC6M/8Au70AezUAFABQAUAFABQAUAFAHjP7Qf8AySHxd/3AP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef8AuP8A/qT61QB7NQB+Gv8AwU5/4KhaJ8G9H174D/APXLbV/i9qcE+leK/Fumypc6f8OLK4iaO5trS5jZ4rnxhLG5SKNC0eiK32i4zeeRAn9+fRU+idj+Nsbl3iF4iZfVwXBmFqU8Xk+TYqEqWJ4nr0pqVKrWpSSnTySE43nKSjLH29nTtRc6kv46+kP9IvB8J4XG8F8FYyGK4pxEJ4fMszoSjOhkFKcXGpTpVFzRqZrKLaiotxwiftKn71QgfhL+x9+wf8aP229S8bah4UuYdF0Tw5p2o31/438ULeSaZq3i64jln03w8l4N8tzqOqXRMuo3gM50+3Zru5WRpERv8AQPxq+kHwN4D4XIsNnFOpjsfmeJw1DD5DlLoxxeEyanKNPFZk6D5YUsNhKSUMNQbpfWaiVGlKCjKR/GXhZ4L8W+L9fOMRltSGEwmAoV61bN8xVaWHxWaTi50MAqq96pXxFR81esnP2EH7SpCTa5uJs779qP8A4J8fHB9n/CRfCr4jaBMFuLWZXl0HxTpKS5AljydL8UeG9QTlJEMkZSXKPbXIwnu1sP4TfSQ4Ci5LLeL+Gcxp3p1YNQzHKMZKFm4T93GZTmeGfxJ8kuaFpRq0rOXkUq3iP4G8YO31/hrPcFP36c05YLMsMpbSjrhsxwFZbSSkuWWns535f6sf2Bv+Cjnw6/bI0KLw3qa2vgv436Np4uNf8FSz/wCia3BAqLc674Rnl2te2IYiS70991/pu8GQTW5W4X/Ib6RH0Y+JvBHHyzTCurnvAWNxPs8uzyFP99gKlRt0svzmnD3aGIsnGjiV/s+KtaLjVvTP9KfBTx6yHxXwccBiFTyni/CUFPG5RKf7rGQgkqmMyucta1G/vVaD/fUL3fNBc5+lNfy4f0AFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQB8wftl/HO2/Zz/Zs+KnxUa4SDVtI8O3OneFUaTy3uPFuuj+yvD8ULDkyxX1yl4QP+WVrK38NeFxLmscmyTH4/mtUp0ZQodG8RV/d0UvNTlzekWft/0cfC+t4xeM/AnAqozq5fmGcUcZnsow540cgyv/b82nUTulCphaEsMm1/ErwWtz+XL/gk3ZfE/wAd/t1+DfEGjeIdZzYQ+JvFvxL1WW7upv7Y8PtYXFveWmsSFmFy2ratqNjFELkt+/YSx4aKvwnw+jj8XxVhq1OtV9xV8RjqjlJ+0ouElKNTfmdSpOCV+uulrH+5P0+cTwRwr9FviPKMxyjLbYupkmQcFYCnQoU/7OzZYujVw+Iy6HKnRWAwGExVSo6Kj+6TpyuqiR/ZZX9Jn/OOeM/GT/mlX/ZZvA3/ALlKAPZqAPmn9pr9sb9l79jXwRc/EP8Aad+OPw8+DXhiCJ5YJ/GPiC0stU1ZkDYttA8PxvPr3iC7kZfLjttH068lMhVSo3UAfxkf8FBP+Dzzwnow1vwH/wAE5/gvN4r1AC4s4Pjt8cbSfTNAhfaUTUPC/wAMrK6TVdS8uQb4JfFOp6XDIjK0ukuMpQB/IZ8Tv2hv+Cof/BY34yWmheJvEfx6/az8fapf50L4beENP1bUPCXhwXU7PCmleCvDsNt4Q8K6dA5KJqN3a2iRIo+037EGRgD+jf8A4J+f8Gavx++Jf9h+O/2//irYfAbwpN9mvpfhD8M5dP8AGHxTvbZhFOLLW/E0izeEPCUkqF7e6jsx4lvrViw2xyqAoB/bl+xB/wAEoP2Cf+CeWh2un/sx/s++EfDHiSO2jg1D4n6/bJ4t+KuttGCDPqPjrXI7nV4jJk77XSX0vTxnCWSj5aAP0XoAKAOM+I//ACTzx5/2Jnij/wBMd9QAfDj/AJJ54D/7Ezwv/wCmOxoA7OgAoAKACgAoAKACgAoA+fdP8S6D4N8e/tE+K/FGq2eh+HPDumeAdZ1vV7+UQ2enaZp/hG+ubu7uJDnEcUMbNhQzucJGrOyq3oZVlWY55mWAyfKcJXx+Z5ni6GBwGCw0OevicViaipUaNOPWU5ySu2opaylGKco8eYZhgsqwOLzLMcTSweAwGHq4rF4qtLlpUMPQg6lWrOXSMIxb0u3sk20jgf2dP27P2av2qPEPiLwp8H/G82reI/DcD311pGraNqGg3l9pcc620mq6RHqMUf8AaNhHNJEsskJE0QmieWBEbc3614mfR98UvCPLctzjjXIYYPLM0qrD0sbg8dhswoYfFypurDB42WGqVPq2IlCM3CM0oTcJqFRyjyy/OeA/GXw/8SMdj8t4VziWKx+XwdarhcTha+Dq1sPGapyxOFjXhD29BSlFSlH3o80XKnFSufYFfip+pBQAUAFABQAUAFAHjPjb/kr3wQ/7qV/6jFpQB7NQAUAFABQAUAFABQAUAcZ8R/8Aknnjz/sTPFH/AKY76gA+HH/JPPAf/YmeF/8A0x2NAHZ0AFABQAUAFABQAUAFAH5NfEf/AJKH48/7HPxR/wCny+oA/9H+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoAKACgDhfiJ8NfBfxU8OXXhXxzodrrek3IYoJlC3VjOVwl5p12o86yvIjho54WByu2RXQlG8rOMly3PsFUwGaYWnicPNOykrVKUraVKNT4qdRbqUbdL3SsfN8VcI8P8a5TWyXiPLqOYYGsnyqokq+HqPSNfCV1+8w9eDScalNp+6lK60Pw5/aO/Yo8efBqe88SeFI7zxl8PVkadNRtIS+s6BFksI9as4fmMUJwq6laq8DDa0ywMHK/y7xn4ZZrw3KpjcvVTMcoTc1WpxbxOEjfRYmnFN8selaCcOsuV/F/nN4sfR64l4Bq4jN8khiM/4WjJ1I4uhTc8fllO91HMKFP3nCGiWLowlTas6ipSbZr/ALO/7dvjn4UpZ+GfHa3fjvwPCI4LczXG7xHocAwoFhfTvi+tYlGVsb1sqMrDcxDaF6OD/FXNMgVPA5sqma5ZG0Yc0v8AbcLH/p1VlL97CP8Az7qvTXlkrpR7vCv6SfEfBUaGT8SRrcS8O0+WnS9pUvm2XU1pbDYmpJrEUYK1sPiG2lf2dWGkT9lfhb8afhv8Y9ITV/AXiWz1UBFa80yRha61pjsOYtQ0uVhcwMMgeYFkt2yPLmbOa/pHIuJsl4jw6xGU42niNE6lBtU8TQb+zWoSfPFruk4PpJ3R/ffBviDwlx9gY47hnN6GNtFOvg5P2OYYSTXwYrBz5atNr+ZKdJ/ZqSueqV7x9oeM+Cf+SvfG/wD7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM+Nv8Akr3wQ/7qV/6jFpQB7NQAUAFABQAUAFABQAUAeM/tB/8AJIfF3/cA/wDUn0WgD2agAoAKACgAoAKACgAoAKAPGfg3/wA1V/7LN45/9xdAHs1ABQAUAFABQAUAFABQB4z/AM3C/wDdGf8A3d6APZqACgAoAKACgAoAKACgDxn9oP8A5JD4u/7gH/qT6LQB7NQAUAFABQAUAFABQAUAFAHjP7Pn/JIfCP8A3H//AFJ9aoA+C/8Agr58bvjb8Ev2aLK++DJ1HSv+Et8Ujwv418ZaTBJJqPhbw5daXeTKbW5RH/suTWLqNbA6mAstum6OGWJ5w1f199C7gPgPjzxTxGH44WGxn9jZQ82yLJMZVjDDZtmdHF0IP2tGVvrkcFRnLEfVNYVH79SMoU7H81fSk4v4v4Q8PaVbhN18M8zzFZdm+a4WDlXy3AVMPVlenUSf1d4qpFUfrCtKCvGE4Snc/n6/YT/4JzfFP9svxNF4t8Rf2p4R+DFrqZm8S+PtRilOoeJZxN517pfhVbv5tU1K4LsLzVpC9lZPIXmkmuT5Df6N/SC+k1wj4IZVLJst+q5zxxWwqhlXDuGlFYbK6fJyUMXm7o+7hMLTSXsMHFqvXUbQhGkueP8AEHgz4C8SeK+YRzTH/Wcr4SpYjnzDOq8ZuvmM+bmq4bLVVd8RXnd+1xUpSpUnK8nOfux/sX+Evwl8AfA7wD4f+Gfwz8P2nhvwj4btRbWNhbLmWeU4NzqOo3LDzr/U76UGe9vZy0s0rdVjVET/ABO4y4y4i4+4izLirirMq2aZzmlZ1cRiKrtCnH/l1hsNSXuYfC4eFqdChTShTgtLycpS/wBVeGOGMk4PyTA8PcPYGll+V4CkqdGjTXvTlvUr16nxVsRWledatNuU5P7MVCEfLP2pP2TPhD+1v4BuPBHxQ0RHuoI5pPDHi/T44ovEvhLUnQiO+0m9YZeHeR9s024LWV9FujmRWKSp9b4S+MXGng3xFTz7hPHyjRqShHNslxMpzyvOcLF+9QxlBOymo39jiqfLXw87ShNpShL5vxG8MuFvE/JKmUcRYNSqwjOWXZpQUYZhlmIafLWw1Zptwv8AxcPO9GtH3ZpNqUf41Pjz8Dfjn/wT7/aCs7GXUdR0LX/Depp4i+G3xE0Tz7Wx8R6Xb3H+iarp0/KltuLXWdKmZ2t5Wms7qJoZEef/AG88PeP/AA/+kf4cV68MNhswy7M8K8s4o4ax6p1cRlmLqU/32ExNPdK96uBxkFFVIxhWozjOEox/yh404O4y8D+OaVGVfEYPG5fiVj8gz3Cc9Ojj8NTn+6xNCeqbatSxeGk5OEuelUjySTn/AFef8E9P26PDX7ZnwuSW/ksdI+MPg22tLP4h+F4nWLz5CvlQeKtGt2xI+i6u6FnEYZdPvTJZyFR5Ib/ID6SfgBmnghxbKOHhXxnBWeVa1fhrNppz9nFPnqZRjai0WOwSkknLleJw/JXin77j/pf4GeMmX+LHDkZVpUcLxTlVOnSz3LouMeeVuWGZYSGjeExTV3yqSoVm6Umrw5v0Kr+bT9yCgDxnwT/yV743/wDdNf8A1GLugD2agAoAKACgAoA/ma/4LoftHjVvE3gT9mbw/fbrTwzFF498fJBIdr61qMMtv4Z0q42koxsdMe51N42wyPqNqSMqpr8Q8VM69pWwmR0Z+7Qti8XZ/wDLyatQpv8AwQ5p20ac12vL/a39l34NvL8l4p8a83wvLiM7nPhThSVWCvHLcHVhWzvHUb2klisbChgozXuyjg6yV+Zs+n/+CH/7PEvgT4K+K/jvrtj5Gt/F7UY9N8NvLEyXEfgjw1NLGsyls5g1jXGurhGXAkhsLZyCChr3fC7J3hMrr5rVharmM1CjdNNYWg2k1olapV5mmm7qCvbQ/EP2nPi9T4p8Ssh8LMqxPtcs8PsHLG5yqc1KlPifOaVObpSt/wAvMuyxUKUoyTcKmKrRvuo/uNX6kf5gn5Hf8FMP+Cp/7DP7B2j+CLn9oP47eFdK8V6F8RfDfiY/Czwvdw+LvirqGm6RHqL3b2vgrR5ZtRtRmWGOOfWTpVmzypm6UHcoB/Gd/wAFBv8Ag8i/aT+LH9t+BP2CPhnp/wCzp4LnFxYx/Ffx7Hp/jP4vahbOJIftmkaRibwd4OkkG24tneDxHqFuWx9qhlQOoB/PT8Hv2Vv+Con/AAWJ+MF34j8I+E/jp+1J401fUMeIfix471TVrrwdoH2qcLM+r/EDxVPB4X0GwgkIZ9MsLuMwqALbTTlUYA/sG/4J9/8ABmN8O/DI0Tx5/wAFFPjJdfELWEFvezfA74K3d1oXhC3l2pI2n+JviLd20Ov62IpV8u4h8OWGh280bOsepSKQ9AH9lP7N/wCyT+zT+yD4Itfh1+zP8E/h78GfCVrEkT2Hgnw9ZaZdaiUxi41vWBG+s67dsw3vd6xf3twzksZAT8wB9E0AFABQAUAcZ8R/+SeePP8AsTPFH/pjvqAD4cf8k88B/wDYmeF//THY0AdnQAUAFABQAUAFABQAUAfg9/wVv+N3/CsfhN8d/AlhdGDXvjV4i+FPhGONG/eN4b0zwxca34mcgYYRyRwafp7t90jUCjZ3AV/aH0GOA/8AWvxkp8Q4mj7TL+Bcsr5y5SXu/wBqYq+AyuKe3PCVXEYqK3/2dNbM/lz6WvF/+rvhhUyahV5Mbxbj6WVqKfvfUMP/ALXmEt7qMowo0G7W/fWvrY+Q/wDggz8HLnXPi/8AFH433UcyaX4E8KReC9KmVmWG413xfcR3V7G44WT7HpGlbypLbXvYWwMKa/p/9oXxtSwHBfCXAdKUJYviHOJ55i4NJzp5fktOVGhOL3j7bG4zlvbVUJpXsz8C+hbwrUxnFHEfGFSM1h8my2OU4aSdoTxmaTjUqxf83ssLh72vo60HrdH9Ttf5IH+kAUAFABQAUAFABQB4z42/5K98EP8AupX/AKjFpQB7NQAUAFABQAUAFABQAUAcZ8R/+SeePP8AsTPFH/pjvqAD4cf8k88B/wDYmeF//THY0AdnQAUAFABQAUAFABQAUAfk18R/+Sh+PP8Asc/FH/p8vqAP/9L+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoAKACgAoAa6JIjxyIskbqyOjqGR0YEMjqwKsrAkMpBBBIIOcUmlJOMkmmmmmrpp6NNO6aa0aa++4pRjOMozipRknGUZJOMotWcZJ3TTTs01ZrR3ufAXx6/YF+HvxKkvvEfgCWH4f+L7gyXEsFvAZPC+q3LHcxutOiCvpssrFi9zp4CF2y9o2DX5LxZ4TZPnbq4zKZLKMxnzTcYRvgcRN6/vKKTdGUm3edLS+rpvaX8xeJf0ZOFuLpYnNeGJw4Xz2q5VZ06VNyybG1Xdv2uEhZ4Sc5NuVXC2i27ulKzZ+TPjT4XfHD9mvxPBfapY694RvrWf/iV+LNCuZ/7LvNjAq1nrFkRDIsh27rS58qRsbJbbhhX8/wCZZFxRwVjo1a9LF5fVpz/cZhhJz+r1LPR08RTvFp9YTs+kqTs2fxDxBwb4i+EecU8TjMPmeR4mhV/2PO8tq1fqVe0vddDH4d+zkpNK9Ctyze06Ts1H7R+CX/BR/XNJFpofxp0ltfsV8uEeLtDiig1iBBtXzdT0sGO21Hao3PLaG1uHbJMUzHNfpXDHjPisP7PC8TYd4ukrRWY4WMY4mK0XNWoXjTrWSu5U/Zzb3Wqcv6C8O/pZZjgVQy3xBwLzTDLlprPcupwp4+nFWXPjMHeFDFWWsqlB0qrd24Tbufe3wP8AiR4J+JXxC+L3iHwX4hsNa03VIfh1PatDJ5d1tt/D17b3Sy2UwjuontbhWguA8WI5V2knKs37zlGf5Pn1BYjKsfh8XFq8oU6i9tT7qrRfLUptXs+anHXZu1z+0eF+NuFeM8HHG8NZ3gc0pyjzTpUa0ViqDsrxxGEny4ihKN7P2lOKvs3e59PV7B9SFABQAUAFABQAUAFAHjPjb/kr3wQ/7qV/6jFpQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z+Df/NVf+yzeOf/AHF0AezUAFABQAUAFABQAUAFAHjP/Nwv/dGf/d3oA9moAKACgAoAKACgAoAKAPGf2g/+SQ+Lv+4B/wCpPotAHs1ABQAUAFABQAUAFABQAUAeM/s+f8kh8I/9x/8A9SfWqAPWtQ07T9Ws7jTtVsbPUtPuk8u6sdQtYL2zuY8g+XcWtykkEyZAOyRGXIB4wDW+GxOJwdenicJiK+FxNGXNSxGGq1KFelK1uanVpSjUhKzavGUXZ2vq+XKvQoYmlOhiaNLEUKi5alGvThVpVI/yzp1FKEle2kk19wafp2n6TZ2+naVY2em6fap5drY6fawWVnbR5J8u3tbZI4IUySdkaKuSTzkmjE4nE4yvUxOLxFfFYmtLmq4jE1alevVla3NUq1ZSqTlZJXlKTsrX0XMUKFDDUoUMNRpYehTXLTo0KcKVKnH+WFOmowir30ikvvLlYGoUAfJf7ZP7I/gP9sP4Ran8PfFcUOn+IbJZ9T8B+MFgWS/8K+I1hZYLhHGJJNMvcLa6vZK4W5tWLBWmhir9j8EfGXiHwV4zwvEmUSnictrunheIcllUccPm+VuadSm1fkjiqCvVwVdpulWVm1CU1L8y8V/DDJfFThfEZFmcY0MbRU8RkuaKCdbLceoNQmnbmlh6tlTxVJStUpO9nKMGfhD/AME9f+Cen7ZXwN/bM8NeKvFXhu78C+BPAl3rUfirxWms2Emh+NtClsbuzj0fR47O6luNVg1a5ktLhVnto0tFiE8/lSRAL/oN9JL6SXghx94H5rk+UZrR4g4g4go4CWUZQ8DiI4/IswjiKFeWNxsq9CFLB1MFSjWpOVOtOVZz9nT5oTZ/GPgZ4GeK/BvixgMzzLL6uTZLk1XFxzLMli6EsHm+CnRq0o4XCxpVZVMTDFVHSnadKKpKPPPllFH9SVf5LH+jYUAeM+Cf+SvfG/8A7pr/AOoxd0AezUAFABQAUAeL/tDfG3wt+zt8HfHPxe8XTRppvhHRp7q1s2kVJtY1qYeRouiWgLoZLnVNRkgtlVNzrG0k20rE5XzM4zShk2W4rMcQ0oYem5Ri3Z1Kj0pUo9XKpNqOl3a76Xj+k+EPhnnnjB4i8L+HvD9KcsbxBmNKhXxEYSlTy7Lab9rmWZ4hqMlCjgsHCrWlKa5XOMKespxifxN+CvDfxL/bp/amS1v717rxZ8WPF93rvirW5mJsvDfh9ZDea1qk8rDZbaT4b0OExW/meVEkVvawEqXBb+YsLQx/FmfqDbnicxxMqlaerjSpX5qk/KFGnpFWS0jHS/u/9LnFOecD/RW8B6uLo0qWE4c8PeG6OXZNgbxp1c1zNUvY4DCRvKLqY3N8xn7XESTcuariK2qg+b9uP2wv+C/3/BLP/gl14F0v4NaZ8Srf44/EP4d+HrLwto3wZ+Acmm+Kr+yl0WxitoLfxV4siul8HeFnuGiZ7w3WqXepR3LyMdLmckV/VGEwtLBYXD4ShFRo4ajTo04pWtGnFRXzdrvu22f8vfFnE2a8acT5/wAWZ5Xnic34izbHZxmFacnNyxOOxE684xctfZ0+dUqUfs04RitIo/ij/wCCgf8Awdc/8FEv2u/7b8GfAvULD9jr4Q6h9os0034Y3ct/8UdW02Uyxbdc+J17FFf2MlzauEubfwnY6DGrFlWeYBXroPnj8+v2Q/8AgjX/AMFK/wDgox4h0PxvoHwv8ZaX4L+IHi3StFvP2hfjzc61oHhbUtT1ucL9ui1nxDFceJfGcwhWa6aTQ7DVfOSLabmIsjMAf3K/8E+v+DQ/9hn9m1dF8a/tb61qX7YfxQtBBdTaDqkFz4U+CWlXyL+8itfCFnc/2z4pgSTa8cvijVXtpdv7zRkDbVAP6svAvgDwN8MPC+leCfhv4O8MeAvB+h28dpo/hfwfoWmeHNB023jRY0js9K0m2tbKAbUUMUhDORucsxJoA66gAoAKACgAoAKAOM+I/wDyTzx5/wBiZ4o/9Md9QAfDj/knngP/ALEzwv8A+mOxoA7OgAoAKACgAoA/kP8Ajp/wVD/bk+E/7V/xFW78QNoOi+EPG+uaJafCLW9As/8AhFm8OadqU9ppyzxNbxarNNqOnRQ3a6zDfrO8k4uIpSgCV/s7wB9E7wC4w8H+GXRy1Zhjs6yDAY6txngMxrPN1meJwtOtiZU5qrPBwhhsVOdF4GeG9nGFP2U0pXkf5ecZfSL8YuGfEzPlVxzwWDyvN8ZhKXC+MwVL+zXgKGIqU6CnF044mc69CMaixcK/O5T54Npcsv2Y/Y//AOCs3wC/aV/szwn4zng+DvxWuljg/wCEf8RX8Q8M67ekKCvhnxLMLeCR5n3mHTdUWzvQq7ENyxDN/D/jT9DvxE8LvrecZHTqcbcIUnOp/aOWYeX9q5fQTdnmuVw9pUioRtz4rCOth7u8lSV3H+r/AAs+k1wT4gfV8szWcOFeJaijD6jj6yWX4ys7K2X5hJRhJzlfkw+IVKslovaOzP1XVgwDKQysAyspBDAjIII4II5BHBHIr+Q2mm00007NPRprdNdGmf0ommk07p6prZrut9/X7z+Mz/gsR8ZdM+Jn7Xninw14d1Bb/Qfhtb6d4duJoJN9pN4oTSNMi8Q+WVZo5GsJ7aPTGlA/1trOoyAdv+1H0GfDXFcF+FVfiXNMP9XzPj3HU82pQnG1ankeEpOhlSndKcfrDnisYoNfBXpPW6P8sPpa8dYfinxCpZFl9f22A4Pwk8uqyhK9KebYioq2YOFvdk6KjQwzmvt0qkeh/QP/AMEmPgufg7+xh8PZb6yNp4h+Jk2ofErW/NgaC7Ca86Q6Fb3KuqSZt9As9PZFcfL58mPvGv8APv6YvHP+u3jjxJDD1/bZbwtDD8L4DkqKrR5svi55hVpOLcf3mYV8SpNWv7OOmjP7O+jLwl/qp4TZHKtRdLHcQSrcQYxSg4VUsa1HB06idpe5gqVBpPbndr3ufpbX8tH9AhQAUAFABQAUAFAHjPjb/kr3wQ/7qV/6jFpQB7NQAUAFABQAUAFABQAUAcZ8R/8Aknnjz/sTPFH/AKY76gA+HH/JPPAf/YmeF/8A0x2NAHZ0AFABQAUAFABQAUAFAH5NfEf/AJKH48/7HPxR/wCny+oA/9P+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoAKACgAoAKACgDL1nRNH8RabdaPr2l2GsaVextFdafqVrDe2k8bKVIkgnR42IDHa2AynlWUjdWGJwuHxlGeHxdCliaFRONSjWpxqU5ppqzjNNbbO11urHHj8uwGa4StgMzweGx+CxEXCthcZQp4ihUi1a06VWMovfR2vF6ppo/OD40/8E5PB/iM3mt/CHVf+EN1Z983/CNakZbvw1cSHLeXZ3GJL7StxASNf9Ltlz9yNRuX8Y4m8GcuxrqYrh7Ef2biG3L6nW5qmCnJ62pyXNVw99El+8gr3tG3LH+TfEH6KGQ5s6+Y8C4z+wMdLmqf2Ri3Ur5RVk7vkoVLSxOBu7RjFe3oxv8ADGKufl94l+Gfxn+Bviu/huNO8Q6Brfhu4s0n1zwzcXc1pbve263tiy6vpRMYS7t8SxRzNEZVVlaIFHVfxPMeG+LOEcUqtbC47AzhL91jsFOcqMmno4YnD+7q/sz5X3i9o/yHn3APiX4Y5jDEYzLc4yetSqWw+cZVUrVMJUcXdOlj8E+SzauoVZU5SWjpu1pbdv8AtWftIacvkJ8XPGaBeNl1dxXMgx/tXlrNIMdPv/ngbtKfHvGlFOC4gzPTpUqKbVvOcZS+/wDH7O1Lxq8WcLH2UeOeIIpdK1eNaSt516UpLf8Amd9Ntix/w15+0p/0V7xT+enf/INX/wARC42/6H+P++n/APKzT/iOfi3/ANF3nX34b/5QH/DXn7Sn/RXvFP56d/8AINH/ABELjb/of4/76f8A8rD/AIjn4t/9F3nX34b/AOUH3X+wf8f/AI4/En4i614Z8aazqXjLwqugXWpXOralbQF9D1C3mt0skjvba3gAW/8ANliNrKW3FfNRQULV+qeFPFvFGdZxisDmeIrZjgFhJ15161OLeFrRlBUkqsYw0q8zj7OTlf4lblZ/Sf0avE/xG4t4qzHJ+IMwxef5LHLK2LrY7F0qblluKpVKMcPGOIpUqemJ9pODozlO9udJcq5f1mr9/P7dCgAoAKAPGfG3/JXvgh/3Ur/1GLSgD2agAoAKACgAoAKACgAoA8Z/aD/5JD4u/wC4B/6k+i0AezUAFABQAUAFABQAUAFABQB4z8G/+aq/9lm8c/8AuLoA9moAKACgAoAKACgAoAKAPGf+bhf+6M/+7vQB7NQAUAFABQAUAFABQAUAeM/tB/8AJIfF3/cA/wDUn0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4/8A+pPrVAHs1ABQAUAFABQAUAFABQB4z4J/5K98b/8Aumv/AKjF3QB7NQB+GX/BaI/tUroHwpb4Kn4gj4ZrJrR8cH4b/wBtDVB4lEtmdDOtnw9jUxpYsftZs95+x/a/P8zEmyvyzxMefqll7yv639RTqvFfUvac/t7x9l7X2Xv+z5Oblv7vNfqf6hfs214EPNePV4lLhJ8aOGWrhlcZ/wBm/UXkrp4lZost/tf/AGL688T7D6xy/wC0fV/ZcvuXP5/7P9oP9tD4cyJPH8Vf2gvDDwHC/wBp6/42gjTBBwYtXlMRwcZDIw9cZAr8ijnHE+CaksfnFBrb2lXFJf8AgNS8f66aI/1mxPhH9G3jKEqU+A/CTPI1NZfUsp4ZqzfRNTwEY1Ffupx9Xa8fZfB//BVX9unwdMjr8bL7xLEmAbXxhoPh3X4mA/heSbTIbs9wWFyr/wC1kAr6WG4/4qwz/wCRnKul0xNGjWv6t01L8b+m5+c8RfQR+i5xFTlF+GmFyWcrv2/DubZxlVRN9Yxp42phvNL6u4/3d1LB/ao/4KJfHv8Aa78D+E/AXxMHhjTtH8M6xda5cr4SsL7SY/EWoyW0VrYTaxazaheQP/ZSfbGtEhCRiS9eQxh4kdcs/wCMs24iwuHwmNVCFOjVlVl9XhKmq0+VRg6kXOafs1zcvLyq8rtXUT1fAr6IHhT9HzifP+KuCnneMzDO8voZXRef4vDY+eT4ONapXxVPL8RTwmGqr69L6tHESqc0+TCxipuE5Rl+Df7Z/g79tLx9pJ8Mfs4+OovBngTU9Iks/G+laD4z1Hwh4o8cb5hN/ZWqahbWloreHYRGudEGs/Y9UuGE+pwS+Raxwe1wFxBw/wAPyxNbMViljMRy0414UI1aNGgnflTjU9rzTl702oKySWup+LfTq8BfHvx7w3DeT+HlThqpwbkHtcyxeS4vPK2XZrm+e1IypwxFaNfBU8v9hgsNelgqM8dUbq1q1eXsZOKj8xfsD/8ABv8AftJ/tleOP7N+JXxf+BH7Lfgq0vQmq678SfiP4X1jxpqkO5XlPhXwFoeszX2ozTJ5qwz61qGh24m2l2ZSQ37VguKeH8wS+q5tg5Sf2KlVUKnpyV/Zyv5W9LWsf41cZ/Rh8fuAHUlxL4V8XUMPTlJPHZfllTOsBJR3nHGZO8bR5Nb3k4+a0bj/AH1/8E7f+Dbb/gmD+xPBoPjaLwTaftV/FzTvs90nxX+M50jxbplnqUXzi88KeA7VZPBWhgEnyZJ7XWNRRdpOoswDt7sJwqRUqc4zi9pQkpRfo46H4fisFjMDVlh8dhMTg68HaVHFUKuHqxfaVOtCE4tWtql5pbH7XfFq0tbG2+EVlY21vZ2dp8YPAVva2lrDHb21tbwpqccMFvBCqxQwxRqqRxRqqIihVUAYWjmPbqACgAoAKACgAoAKACgDjPiP/wAk88ef9iZ4o/8ATHfUAHw4/wCSeeA/+xM8L/8ApjsaAOzoAKACgAoAKAPlH9pr9i34AftYaHJp3xU8G2smvRW7Q6P460VY9M8ZaK+390bfV4Y993axsqFtO1FbuykRSnlLuZl/YPCvxz8RvB7HxxPCOd1Y5dOpGeN4fxzli8kx0b++qmDnNKjVknK2JwsqFeLd+eVkpfmniF4S8EeJmDlQ4kymnLGxg44XOcIo4fNcJK3uuniox5qtNNK9Cv7Sk4qySveP8vP7YX/BJv4+fszyah4u8DQXnxh+Fdq8lyviHw5YS/8ACUeHrVGLK/iXw7bGe4jWFdm/VNL+1We47pFtQGVf9YvBX6Yfh34pxw+TZ/OhwVxdVUaTy3M8RD+ycyqySTWVZnV5KcnN81sJjFSrpK0ZVm/f/wA6PFP6MvGvh86+aZNGrxVw3TbqLHYChL+0sDTTunmGApylOKhpfEYb2tK+r5No+YfCf/gp5+1x8H/hj4n+EumePJ9d0XVdDn0Lw9qXilJdU8TeAHmaOKS68M6xPIbtGitftUFvaag13BZzzpdWwiktkSvquMPopeDXGvFeVcY4rh6GX4/CZhTzDMsLlDhhMq4ijBSnGlmuCppUJKdX2VSpWwyo1K1Om6NT2kaknH57hn6RPifwtw7mPDGHzmeNwmJwc8HgcRmSlicwySU2oyq5fipv2qcaftIQpV5VoUpzVSmoyppSzf8Agn1+zFH+1z+0bo+k+MPFOiWXhjRNUtfF3jlde16xj8R+MIBf/a5tE0TTby6Gqa3f63PHLHqV3bwXKWVvLLcXb75Ylfq+kf4ry8GfDLG4vJcozCvm2OwlXJsgeXZdiJZXktSWH9jDH47FUKP1TA4fAU3GWGo1KtKVapGnToxcVNnP4HeHcfFDjzC4fNcywdHLsHiaeZ5wsbjqCzDNYqt7SWDwmHq1Y4nF1sZNONetCE40oSnOo1KUVL+4yys7TTrO00+wt4rSxsbaCzs7WBBHBbWlrEkFvbwxqAscUMKJHGigBUUKAAMV/gdXr1sTXrYnEVJ1q+Iq1K9etUk5VKtarN1KtSpJ3cpznKUpSbu5Nt3uz/YelSp0KVKhRpxpUaNOFKlSglGFOnTioU6cIrSMYRSjFLRJWRZrI0CgAoAKACgAoAKAPGfG3/JXvgh/3Ur/ANRi0oA9moAKACgAoAKACgAoAKAOM+I//JPPHn/YmeKP/THfUAHw4/5J54D/AOxM8L/+mOxoA7OgAoAKACgAoAKACgAoA/Jr4j/8lD8ef9jn4o/9Pl9QB//U/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgDxbwbFFN8W/jhHNGksbf8K13RyIro2PDF0eVYEHn29+KUoxknGSUk91JXT9U73/ra1yZwhUi4TjGcXvGcVKL9U9H8/8AI9Gn8H+Erp/MufC3hy4kPWSfRNMmf/vuS1Zj+f587eSeXZfUfNUwGDm+88LRk/vcG/66XseXVyHI60uetkuU1ZfzVcuwc5ffKjJ/j9+vLD/wg3gn/oT/AAt/4T+k/wDyJUf2Vlf/AELcB/4SUP8A5WZ/6t8O/wDQgyX/AMNeA/8AlAf8IN4J/wChP8Lf+E/pP/yJR/ZWV/8AQtwH/hJQ/wDlYf6t8O/9CDJf/DXgP/lBr6bo2j6MkkekaVpulRzMHmj02xtrFJXUYVpFtooldlBIBYEgHAPaumjhsPhk44fD0cPGTvKNGlCkpPu1CMU2l1f4ac3fhMBgcBGUMDgsJgoTalOGEw1HDRnJaKUo0YQUmk7JtNrbS5pVsdYUAFABQB4z42/5K98EP+6lf+oxaUAezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGfg3/zVX/ss3jn/wBxdAHs1ABQAUAFABQAUAFABQB4z/zcL/3Rn/3d6APZqACgAoAKACgAoAKACgDxn9oP/kkPi7/uAf8AqT6LQB7NQAUAFABQAUAFABQAUAFAHjP7Pn/JIfCP/cf/APUn1qgD2agAoAKACgAoAKACgAoA8Z8E/wDJXvjf/wB01/8AUYu6APZqAPCv2gP2nf2ev2VPA198Sf2jfjH8Pvg14J0+KSaXXPHniPT9EjufKHzQaXZzyjUdZvOQEsdJtL28ckBIGoA/jX/4KJf8HjnwF8Mxa58Pv2CPggvxy15Bc2Mfxj+NWlS6D8N7WfbLAb7w/wCByR4o8TpFIFmtpdYm8N2dxHtJhniYq0Tp06itOEJp7qcVJfc0/wCu+0uvC5hj8DNVMFjcXg6kdVPC4mth5prqpUZwkvvP5NfDv7Z/7f3/AAUh/ao0jU/HPxp8S6fbS351nxRa/DjSdM+H/gLwd4SgnWa9t7Hw14TsdP0a2+1EDTtNm1MXmoy3Vyo+1Tur7vjOL6eQZbk+Kx2MyvL61Xl9lhYSw1FSqYmomqSvGMZNQ1qS/uxd7aKX9i/RIx3jt4keL3DPBHCfidx9k+UyxCzPibFYXiPNqmHwHDmXyhUzCfsq2JqYeFXEx5cDhV7reIxFNxT5bH9SP7GH7KPiP9rT4yeGvg7oOqX2h6NHZPqPi/xk8D61c+G/C2lxxx3Wot9unRL/AFi7dobLTxqFyRd6jcrNc+eiTI/4TwxkdTiPOaODd4UHKVfGVKUYwVKhF3moJR5IObfs6aSUU5aRaTUf9yPpJ+NWA+jx4PZvxgpU8XndKjQyThDAZlXrYqeaZ9iKbpYN4yc6yxmLpYanTqY/Ma0q3tqlOjN1aqnW54/sv8Rv+CBjrG03wl+PvmyKhK6f8Q/DAj8xwvC/2t4duSE3sPvHRsDoQMbq/RMd4S7yy7NvONPGUfw9pRl17un+R/nvwX+1b/h0fELwq/ljUx3COc+ilU/s7N6XrLkjmPlc/Pv4i/8ABIn9t/wDJK1l8ONO+INihby73wF4k0vU3ljUnD/2ZqMulaqrMBnyxaO3YZPLfIY3w74owjbhg4YyK2lhK0Jtr/BOVOav2cJev8v9ccHftBfoycWQprE8Y4zhHFSUefDcVZNjsFGnKS1j9dwkcdgWk9HP6zFd0ro+bLv4e/tkfA66aGXwt+0H8NpbRtzPYWXjvRLWIp0b7RpvlWTKvqJmXj2FeJLB8S5W7OhnGC5X9iOKpRT9YWj+nrdo/ZsPxf8ARz8UKCqQz3wk4zhiFZRxeJ4WzOvPm6exxrliVJ329kpa6nT6V+3l+2X4Un0i2uPjh4+vh4d1mw13TtM8YzJ4hitdV0wsbK4eDxDa3s+Yg7r5buEZXZXUg/N14fjLinAtRjm2LfL/AMu8Tasvmq0ZP+tb2tH5TP8A6IP0Y+M6U62J8KuEoOum1juHo1cmqPm15qdXJsTh6Td22m4SXlolD9yf+CX3/BSX47ftN/F3V/g58Y9M0HXk/wCEQ1HxNpXjDw/oi6HcaZLo01nFLaa1b2jvp88GpJd7beZIbWVLqNEG9HZW/T+BeNs1zzMamW5lTpVf9mnXp4mjS9k6bpOKcaqi+Rqal7rUYvm2vd8v+aH04PoZ+Fvgl4fZf4i+HWNzXKpPiHB5LjuHs3zN5pRxtPMaeJnTr5bVrwhjKVXByw96tOdXEQlQnKTanGMj95q/WD/KsKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoA/If/AIKL/wDBTvwZ+zDpGsfC34X3dh4v+PGpWM9m8cEkV3ovw6F1CyLqXiF18yO51iJX82y0BWEnmbH1BoYgyN/Z30Z/op554r43A8W8V0cRkvh7hcRTrRnUjOjjuJXRmpPC5bGVpU8FNx5a+YtcvJdYb2s3Fx/l3x4+kRlPh3hcXw5w7Vo5pxpXozpOEHGrhMi9pBpV8dJc0Z4qKfNSwS97ms67pxi4z/m7/ZV/ZV+MX7efxl1DTdO1C7FvLdSa78SfibrUM19ZaHDdu7mafD263uq30g8jTNKhlhBVcjyLSABf9PvF3xd4J+j1wRhsVicNRdSFKOX8L8K4GcKFfH1KMYpQp3VR0MJh4+/isZOE3d6+0rVD+BfDbw24q8aeLK+HoV6qhKpLG8QcQ4uMq1LBwqyb5pe9D22JrS9zD4aE46K/u04ItftBfsOftJ/so+L9fe80bVNb0nwRf6a//CzPh3/aVzpennUrT+0NIvbi5tFj1Pw7cT2wdx9sSEQyxyxpdvtDN5fhh9I7wj8acF/Z2CzLC4LNsVR9njeEeJo4ehi6ilFe1pUYV5TwWa0bvlvh5VHNazo09j0OPvA/xJ8LMU8dicDiMVluHq8+F4kyGVerh6fK/cqVZUlHFZfVsr2rRpqPSrK6Z9N/s3f8Flv2nfgxFZaB8RJLL45eD7VYoEi8WTvZeL7O2j2qFs/FlrDNNdGOFdkSazaaj0GZxktX5z4n/Qh8KeOJ18x4ajX4Bzqq5VJTyeEa+S16srtutk9aSp0eebblLA1sKl0pvRH2/AP0sPEThONHBZ66PGOV01GCjmU3RzSlTVlanmdOE51eWKtGOKpV/wDGr8p+/v7Jv/BTz9nD9q68h8L6bqN58OPiNIqmHwP45nsbWbVnIJdPDmsQz/2frToRj7MotdQYMhSybca/zo8YvopeJ3hBRnm2Kw1HifhiMnz5/kFPEVoYNJ6PNMFOH1nAqSelVqrhlaV6+lo/254ZfSI4B8S6scuw9erkGfSS5MnzidGnPEu2qwGLhL2GLkmmvZpQr6pqlK/u/o1X8yH7yFABQAUAFABQB4z42/5K98EP+6lf+oxaUAezUAFABQAUAFABQAUAFAHGfEf/AJJ548/7EzxR/wCmO+oAPhx/yTzwH/2Jnhf/ANMdjQB2dABQAUAFABQAUAFABQB+TXxH/wCSh+PP+xz8Uf8Ap8vqAP/V/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/APdNf/UYu6APZqACgAoAKACgAoAKACgDxnxt/wAle+CH/dSv/UYtKAPZqACgAoAKACgAoAKACgDxn9oP/kkPi7/uAf8AqT6LQB7NQAUAFABQAUAFABQAUAFAHjPwb/5qr/2Wbxz/AO4ugD2agAoAKACgAoAKACgAoA8Z/wCbhf8AujP/ALu9AHs1ABQAUAFABQAUAFABQB4z+0H/AMkh8Xf9wD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/ALj/AP6k+tUAezUAFABQAUAIzKqlmIVVBZmYgKqgZJJOAABkkk4A5OKBpOTUYpttpJJXbb0SSV223okl99z+bD9pH/gtH8TfCH7SGreFPgroXgvXvhH4J8RL4dvf7R067v8AVfHs2n3C22tXVhqkN5A2mW8t2txa6QbW3cukUVxL5vm4r8UzrxMx2Gzqph8so4atl+FrexlzwlOpi3B8tVwmqnuJyTjT5VslJ817H+zvg1+za4J4g8GsBn3iVmnEmVeIHEuTvOMN9TxmHwuA4Vp4ujKtltDFYGrhaixtWGHdGvmHt68FCVSpSp8nJeP9HPh/Vv7e0DQ9c+yT2H9s6RpurfYbn/j5sv7RsoLz7JcfKv7+287yZflX94jfKOi/s9Gp7WjSq8rh7WnCpyS+KPPFS5X5xvZ+Z/jjm+A/srNczyv6xSxf9m5hjcB9ao/wcT9TxNXD/WKWsv3Vb2ftKfvS9yS1e5r1oeeflP8AtP8A/BTT9iH/AIJ8eNfjj4m/ao+Pfg/wBdTQfD+XRfBFvdf8JB8R/E0lp4VnkktfD3gfRvtWu3su2WLE01taWCF1869jBFAH8e//AAUE/wCDzT4t+NDrfgP/AIJ5fCCz+E/h+Q3NjD8bPjBb2Xibx9dwkyw/b/DngW3lm8MeHGmiZZraXW7rxFd28gVmtYnUooB/Mx4S+Gf/AAVD/wCCyXxrm1DSdL/aB/bC+JOo3mNS8V63darq3hbwsk0iLK194h1SS08D+CNKt1cO1pDPpdvHCp+z2j4CMAf1qf8ABPv/AIMwbeL+xPHf/BRz41G4ceReXHwH+BN6UhB5MmneKfilfWokcA7RNF4S0tARuWHXOklAH1n/AMFJ/wBlj4P/ALGfjX4bfs7/ALMv7PnhT4I/A/SvBun63pE/hHQXW++Ivi/UZ7qz1bVvFPim5W61rxVrmmJbxWMH9qaldzWwu7qSCKIXrBvwfxVxOOqZpgsFKnUjgaWHVbDtJ8lavVk41XfVOcFCMEktE29bo/3R/ZccN8FYHwy4y4ww2NwdfjXMuIKmV59CdWksXk+R5ZQo18tocrtUpYTG1MRXxtSrL3KlSEFzL2PLH95v+CSv7Jjfs8fs/QeN/FelNY/E/wCMqWfiPWo7uDyr/RPCyoX8MeH5FkRZoHNvK2r38J/5er2NHAa3UV914e8PvJsnjicRT5cdmXLXq8ytOlQt+4ou+sfdftJrX3pa7JR/iD6f3j7Hxf8AFqrwxkOOWJ4I8OZ4nJ8tnh6vtMJmeeSko53m0HGUqdWKq01l+EqL/lxhpyTarNn6tV98fwaFACMqsCrAMpGGVgCCD1BByCD6Y/Ogabi04tprVNOzT8mtv67Hyv8AtD/CT4WeL4/hvF4p+HPgfX11D4t+DtPvm1Xwvot5NdWV0uppc2k081i87wTKAJYjIUfClgdq7eHEZZl2LTWKwGDxCe/tcPSm/vlBtfJ/dofa8P8AiT4h8KzhU4a454tyKVNpwWVcQ5rgqaad1+6oYqFJpPo4SX3novwr/Z5+B/wQm1m5+Efwt8GfD658QGP+2bnw1o1vYXOoLG2+OGa4XfN9mST94trG0dsJAriLeqFM8Bk+V5W6ksvwOGwkq1vaSo01GU0tUnLflT15U7X110PQ478XvE7xOp5dR8QOOeI+LaOUqX9nUc6zGtiqOElOPLOpTotqk68o+468oyruF4uajJqXslekfnIUAFABQAUAFABQBxnxH/5J548/7EzxR/6Y76gA+HH/ACTzwH/2Jnhf/wBMdjQB2dABQAUAFABQB/LX+3D/AMFkPi1qXin4ifBv4B6Za/Dvw7oeua34Pu/iBOZbrxzqh0q8m0vUbnSVfy7Hw3HNc204tpUivb9LdgVuIpSGX/WrwE+hJwbhco4Z438Q8XW4mzPH4DAZ3R4cpqFHIMIsZRp4vDUsY1fEZnKnSq0/axk6GGdRW9lOF+b/ADj8YfpWcT18yz7hTgrD08iwGDxeLyqrnk+arnGIeGqzw9ephU1GjgIzqU5qnJRq11B3U4N3PhH9jP8AYE+Nv7bfjL+3rj+1/D/wzOqPc+NPiz4gjublr6RpRLfW2gPfES+JPEN0WZTIHktbWZzNqFwNjRP/AEF43/SK4D8B8k/s6l9SzHipYSNLI+DstlTpLDxUOTD1cxjQThlmW0Uk1C0KtWEVTw9N80Zx/GPCfwS4v8Xs1+vVPrWB4eeJdTNuJscqlT28ubmrU8E6rc8fjqjuuZP2dOUuatN2aP7FPgB+z18Lf2aPh5pfw1+FPh230TRbFI5L68ZVl1jxDqQQLPrGvaiVE+oX87bm3yt5cKN5VvHFEAlf4n+I3iTxb4p8S4vini/MqmPx2IlKOHoJuGCy3C816eCy/DX9nh8PTVlaK5qjXPUlKbfL/qpwRwNw54fZFhuH+GsBTweEoqMq1VpSxWOxFrTxWNr2569ebu7yfLBPlpxjFLmd4Rt7e7+K/wAdLW6ghuba4j+G8U9vcRJNBNE/he7V4pYpFaOSN1JVkdWVgSCMH5vhqdSpRqQq0ak6VWnJTp1KcpQqQnF3jKE4uMoyi1dSi009V0PrZwhVhKnUhGpTnFxnTnFThOLVnGUZJxlFq6aaaa0aex8h/tBf8EpP2Q/j5PqGtHwZN8MfGF/5kj+JfhtLDocct3Jkm6vvDrQy+H71yTlytjayvgZmJya/qDw4+l/4z+HdPDYH+3IcV5Lh+WMcr4ojPMJQox/5dYfMlUp5jQjbSKeJqwje6p9D8C44+jV4XcbSr4p5TLh7Na3NJ5hkEo4NSqvX2lbAuM8DVd3rajCUv5la5/OL+1Z/wTG/aV/ZX8Rpqnh7Rta+KHgR9RRvDnj34f6ZqV3qVlMJfMsYdc0bTftGq6Hqse0bLmES2Mk0TSW14p2pX+m/hD9Kvwu8XMrlhMyx2A4T4gjhms04e4jxWFo4WvBx5K88BjcU6WEx+Eld81KpKGIjCajVoPWZ/BXiV9HjxA8NsesTl+FxnEWSuungM6yOhiKmJoz5uajHGYSh7TE4PExsrVIOVGU03TqLSJ/UN/wTtHx2H7JfwzH7RQ1kfEMQ6oEHiXzB4lHhYX8v/CLjxAJ/9LGpjTPL3fbf9L+zfZvP+ev8nvpLvw/fjHxU/DT6g+GnPCOTyrl/sp5t9Wh/a39nez/c/VfrfNb2H7j2vtfZ+6f6LeBX+uf/ABDLh7/Xv63/AG7yYi39oc39of2d7eX9n/Xuf959Y+r8t/a/vPZ+z59T7cr8GP14KACgAoAKAPGfG3/JXvgh/wB1K/8AUYtKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoAKACgAoAKACgAoAKAPya+I/wDyUPx5/wBjn4o/9Pl9QB//1v7kv+E2+L3/AERD/wAyV4Y/+RKAD/hNvi9/0RD/AMyV4Y/+RKAD/hNvi9/0RD/zJXhj/wCRKAD/AITb4vf9EQ/8yV4Y/wDkSgA/4Tb4vf8AREP/ADJXhj/5EoA8z/4Sn4j/APC5P7S/4VZ/xP8A/hWf2H/hG/8AhN9C/wCQP/wlPn/25/bH2f7F/wAfv+gf2bs+1f8AL1v8r5aAPTP+E2+L3/REP/MleGP/AJEoAP8AhNvi9/0RD/zJXhj/AORKAD/hNvi9/wBEQ/8AMleGP/kSgA/4Tb4vf9EQ/wDMleGP/kSgA/4Tb4vf9EQ/8yV4Y/8AkSgA/wCE2+L3/REP/MleGP8A5EoAP+E2+L3/AERD/wAyV4Y/+RKAD/hNvi9/0RD/AMyV4Y/+RKAPM/jF4p+I+o/DjxFZ698LP+Ec0mb+yPtetf8ACb6FrH2Py9d0uWD/AIl1nbx3Nx9ouY4bT92w8rz/AD3zHE4YA9M/4Tb4vf8AREP/ADJXhj/5EoAP+E2+L3/REP8AzJXhj/5EoAP+E2+L3/REP/MleGP/AJEoAP8AhNvi9/0RD/zJXhj/AORKAD/hNvi9/wBEQ/8AMleGP/kSgA/4Tb4vf9EQ/wDMleGP/kSgA/4Tb4vf9EQ/8yV4Y/8AkSgA/wCE2+L3/REP/MleGP8A5EoAP+E2+L3/AERD/wAyV4Y/+RKAPM/g74p+I+nfDjw7Z6D8LP8AhI9Jh/tf7JrX/Cb6Fo/2zzNd1SWf/iXXlvJc2/2e5kmtP3jHzfI89MRyoFAPTP8AhNvi9/0RD/zJXhj/AORKAP4jv+D1TXfGesfA39hdPFPgP/hDooPix8XGtJv+Eo0rxB9tkfwh4XEsXladDE1t5ShX8yUlX3bVGVJoA9f/AODMrxB440j9hr9pyHwv8Pf+EvtJP2nVknvf+Es0jQPs1x/wrTwiv2b7NqEEss37sLJ5yME+fZjcpNAH9iX/AAm3xe/6Ih/5krwx/wDIlAB/wm3xe/6Ih/5krwx/8iUAH/CbfF7/AKIh/wCZK8Mf/IlAB/wm3xe/6Ih/5krwx/8AIlAB/wAJt8Xv+iIf+ZK8Mf8AyJQB5n4W8U/EeD4j/FO8s/hZ9v1a/wD+EH/trRf+E30K1/sH7LoVxFp3/Exltzbap/alsWu/9EVPsWzyJ90jA0Aemf8ACbfF7/oiH/mSvDH/AMiUAH/CbfF7/oiH/mSvDH/yJQAf8Jt8Xv8AoiH/AJkrwx/8iUAH/CbfF7/oiH/mSvDH/wAiUAH/AAm3xe/6Ih/5krwx/wDIlAB/wm3xe/6Ih/5krwx/8iUAH/CbfF7/AKIh/wCZK8Mf/IlAB/wm3xe/6Ih/5krwx/8AIlAHmfxL8U/Ee9/4V/8A2v8ACz+xPsnxN8K32l/8VvoWpf2vrEH2/wCxaH/o1un2D7fvl/4mVxutbXyv3yHelAHpn/CbfF7/AKIh/wCZK8Mf/IlAB/wm3xe/6Ih/5krwx/8AIlAB/wAJt8Xv+iIf+ZK8Mf8AyJQAf8Jt8Xv+iIf+ZK8Mf/IlAB/wm3xe/wCiIf8AmSvDH/yJQAf8Jt8Xv+iIf+ZK8Mf/ACJQAf8ACbfF7/oiH/mSvDH/AMiUAH/CbfF7/oiH/mSvDH/yJQBzPjXxf8Urnwb4tttQ+D39mWFx4Z16C+1L/hYPh29/s+zl0q6jub77HBarNd/ZIWef7NCyyz+X5UZDspoAPBXi/wCKVt4N8JW2n/B7+07C38M6DBY6l/wsHw7Zf2hZxaVax2199jntWmtPtcKpP9mmZpYPM8qQl1Y0AdN/wm3xe/6Ih/5krwx/8iUAH/CbfF7/AKIh/wCZK8Mf/IlAB/wm3xe/6Ih/5krwx/8AIlAB/wAJt8Xv+iIf+ZK8Mf8AyJQAf8Jt8Xv+iIf+ZK8Mf/IlAB/wm3xe/wCiIf8AmSvDH/yJQAf8Jt8Xv+iIf+ZK8Mf/ACJQAf8ACbfF7/oiH/mSvDH/AMiUAeZ+FvFPxHg+I/xTvLP4Wfb9Wv8A/hB/7a0X/hN9Ctf7B+y6FcRad/xMZbc22qf2pbFrv/RFT7Fs8ifdIwNAHpn/AAm3xe/6Ih/5krwx/wDIlAB/wm3xe/6Ih/5krwx/8iUAH/CbfF7/AKIh/wCZK8Mf/IlAB/wm3xe/6Ih/5krwx/8AIlAB/wAJt8Xv+iIf+ZK8Mf8AyJQAf8Jt8Xv+iIf+ZK8Mf/IlAB/wm3xe/wCiIf8AmSvDH/yJQB/JZ+1h+21+1PpP7b/jzWLH4k+MPCEnw9+JM/h7QPA+meJZn8L6Rpei38Vp/Ylzp9nLHousRXqpINTubi1la9e4lkLrlPK/278FPAzwszH6PfDGHzLg3JcfiOJ+EqWa5vmmKwNCtm1bMMfhp15YmlmM4yxWGnhpSgsIqFWEKMaUFGCSk5f5R+Kni34g4Hxoz6tgeJ81wlDh/iOeX5bl+Hxdanl1PB4SvGmqFXBRmsPXjXSl9YdWNSVRznqrpn9O2o+NPiTq3jH4Ma3qHwuWz1ldO8VXekaQnjXRJk8QNqXhmyOpsl8kHkaQumW7LeKl6JGuw/2aEiVGav8AE/H0IYbHY3DU23DD4vEUIOXxOFKtOnFvbVqKvpv2P9VMHVlXwmFrztzVsPQqy5duapSjN230vLTXbueu/wDCbfF7/oiH/mSvDH/yJXIdAf8ACbfF7/oiH/mSvDH/AMiUAH/CbfF7/oiH/mSvDH/yJQAf8Jt8Xv8AoiH/AJkrwx/8iUAH/CbfF7/oiH/mSvDH/wAiUAH/AAm3xe/6Ih/5krwx/wDIlAB/wm3xe/6Ih/5krwx/8iUAH/CbfF7/AKIh/wCZK8Mf/IlAHmfxi8U/EfUfhx4is9e+Fn/COaTN/ZH2vWv+E30LWPsfl67pcsH/ABLrO3jubj7Rcxw2n7th5Xn+e+Y4nDAHpn/CbfF7/oiH/mSvDH/yJQAf8Jt8Xv8AoiH/AJkrwx/8iUAH/CbfF7/oiH/mSvDH/wAiUAH/AAm3xe/6Ih/5krwx/wDIlAB/wm3xe/6Ih/5krwx/8iUAH/CbfF7/AKIh/wCZK8Mf/IlAB/wm3xe/6Ih/5krwx/8AIlAB/wAJt8Xv+iIf+ZK8Mf8AyJQAf8Jt8Xv+iIf+ZK8Mf/IlAHmfw08U/Eey/wCFgf2R8LP7b+1/E3xVfap/xW+hab/ZGsT/AGD7bof+k27/AG/7Bsi/4mVvttbrzf3KDY9AHpn/AAm3xe/6Ih/5krwx/wDIlAB/wm3xe/6Ih/5krwx/8iUAH/CbfF7/AKIh/wCZK8Mf/IlAB/wm3xe/6Ih/5krwx/8AIlAB/wAJt8Xv+iIf+ZK8Mf8AyJQAf8Jt8Xv+iIf+ZK8Mf/IlAB/wm3xe/wCiIf8AmSvDH/yJQAf8Jt8Xv+iIf+ZK8Mf/ACJQB5n/AMJT8R/+Fyf2l/wqz/if/wDCs/sP/CN/8JvoX/IH/wCEp8/+3P7Y+z/Yv+P3/QP7N2fav+Xrf5Xy0Aemf8Jt8Xv+iIf+ZK8Mf/IlAB/wm3xe/wCiIf8AmSvDH/yJQAf8Jt8Xv+iIf+ZK8Mf/ACJQAf8ACbfF7/oiH/mSvDH/AMiUAH/CbfF7/oiH/mSvDH/yJQAf8Jt8Xv8AoiH/AJkrwx/8iUAH/CbfF7/oiH/mSvDH/wAiUAH/AAm3xe/6Ih/5krwx/wDIlAHmfxi8U/EfUfhx4is9e+Fn/COaTN/ZH2vWv+E30LWPsfl67pcsH/Eus7eO5uPtFzHDafu2Hlef575jicMAemf8Jt8Xv+iIf+ZK8Mf/ACJQAf8ACbfF7/oiH/mSvDH/AMiUAH/CbfF7/oiH/mSvDH/yJQAf8Jt8Xv8AoiH/AJkrwx/8iUAH/CbfF7/oiH/mSvDH/wAiUAH/AAm3xe/6Ih/5krwx/wDIlAB/wm3xe/6Ih/5krwx/8iUAH/CbfF7/AKIh/wCZK8Mf/IlAB/wm3xe/6Ih/5krwx/8AIlAHmfwd8U/EfTvhx4ds9B+Fn/CR6TD/AGv9k1r/AITfQtH+2eZruqSz/wDEuvLeS5t/s9zJNafvGPm+R56YjlQKAemf8Jt8Xv8AoiH/AJkrwx/8iUAH/CbfF7/oiH/mSvDH/wAiUAH/AAm3xe/6Ih/5krwx/wDIlAB/wm3xe/6Ih/5krwx/8iUAfnV/wUt/bP8AiD8AfgFqfh//AIQeLwV45+LUGoeEPCupx+N9H1q+02yltwPEWtwWGm2onRrTT5jaWtzK0cKXt7AQ5kQLXw/Huf8A9iZLUp0Z8uOzDmw2Hs7Spwa/f1lo7ckHyxb+1NPW1pf219BHwHXjP4yYHMM5wjrcF+H/ANX4kz72kG8PjsbSrf8ACJk8m+VT+t4yn9YxEIz5vqmFq3jyzXN+F/8AwTF/Zl8Q/HT47Wfj2bwNL438BfB29sPFHiKxuNW07RbDVNf8x5/DmkXN/qoaGZTd251S9t4leY21niTYk++vyXw+4f8A7ZzhYrEQ5sDlrjXq8yvGrXvehSd9/eXtJr+WOvxH+rP0+fHuPg74Q1+G8ixaw/GniLTxOQ5SqFT2eIy3JPZqGd5tFRalT5MPUWX4WXLy+3xV1b2T5f1K/bs/4OJv2LP2AJdR8NfFC80Xxz8VbGORU+EXwg+JHhv4g+LILtUYxWviC40CxvND8JBnQxSf29qVpcwsrD7G7AI39JH/ADmH8Y37f/8Awdwft+ftQprHgv8AZlsNJ/Y1+F18J7UXfhC8Hij4x6nYuzKpvfiFf2dtb6BLLAzRzR+E9F02dOCmpuwDUAflT+yN/wAEo/8Agp1/wVT8bap4v+GPwr+IXj+LVLy1vfF/x1+Meu3Oh+F92pCSaG/vvG/jm7S78Rz3EEU8ttDo39sXMyRFI4tu0UAf2I/sCf8ABpJ8GPgVPpHjf9tHwdrP7Wfji0eC7/4QXTviDoXgD4M2V1G28wXum2j3HinxdBg+XKupaxpthPty+lsjFGAP60/hX4Wuvgb4N0r4efBv9kzwZ8L/AANokEVtpfhXwL4n8CeGdEtI4Y1iQrYaTpdtDJMUVRJczLJczH5ppXcl2APRv+E2+L3/AERD/wAyV4Y/+RKAMjVtW+IGvfZP7c/Z10jWfsE/2mx/tbxx4L1H7Fcjbi4tPtmmz/Z5/lX97Dsk+Vfm4Ws6lGjW5fa0qdXkfND2lOM+WXePMnyvzVvXY9DAZvmuVfWP7LzPMMt+t0vY4r6hjcTg/rNF3vSxH1erT9tS1f7upzR956K75tf/AITb4vf9EQ/8yV4Y/wDkStDzw/4Tb4vf9EQ/8yV4Y/8AkSgA/wCE2+L3/REP/MleGP8A5EoAP+E2+L3/AERD/wAyV4Y/+RKAPM/iX4p+I97/AMK//tf4Wf2J9k+JvhW+0v8A4rfQtS/tfWIPt/2LQ/8ARrdPsH2/fL/xMrjda2vlfvkO9KAPTP8AhNvi9/0RD/zJXhj/AORKAD/hNvi9/wBEQ/8AMleGP/kSgA/4Tb4vf9EQ/wDMleGP/kSgA/4Tb4vf9EQ/8yV4Y/8AkSgA/wCE2+L3/REP/MleGP8A5EoAP+E2+L3/AERD/wAyV4Y/+RKAD/hNvi9/0RD/AMyV4Y/+RKAD/hNvi9/0RD/zJXhj/wCRKAOZ8a+L/ilc+DfFttqHwe/sywuPDOvQX2pf8LB8O3v9n2culXUdzffY4LVZrv7JCzz/AGaFlln8vyoyHZTQAeCvF/xStvBvhK20/wCD39p2Fv4Z0GCx1L/hYPh2y/tCzi0q1jtr77HPatNafa4VSf7NMzSweZ5UhLqxoA6b/hNvi9/0RD/zJXhj/wCRKAD/AITb4vf9EQ/8yV4Y/wDkSgA/4Tb4vf8AREP/ADJXhj/5EoAP+E2+L3/REP8AzJXhj/5EoAP+E2+L3/REP/MleGP/AJEoA+CvEX7AfwR8WfFvU/jP4i/Y2tdU8Uazfy6vqulT/F/TB4Pv9YnfzbjVLnwvEqadJdXM+6e4Qj7HLMzyPaEsRX9D5b9Kjxwyfg3CcD5bxlWwmU4HDQwWDxdPB4T+2sPgqceSlhKWbSozxUaVKmlTpy5pVoU4xiqto3j+LY/6PnhPmfE+I4sx/DFLE5li60sVicPUxOJ/suvi5vmniamXRqKhKrOd5zTSpSm25UpXPuDQ9Z+IfhnSbHQfDn7POm6DommQLbadpGj+PPB+nabY26fdhtLK0sIbeCMEk7Y41BYsxySS34Jj8wx+a4zEZhmeNxWY4/FVHVxONxuIq4rFYio951q9aU6lSTVleUpOyt0Sj+wYPBYTL8NRwWAwuHwWDw8FToYXC0adDD0aa2hSpUoxhCK7RjHXW2r5dX/hNvi9/wBEQ/8AMleGP/kSuM6TzPwt4p+I8HxH+Kd5Z/Cz7fq1/wD8IP8A21ov/Cb6Fa/2D9l0K4i07/iYy25ttU/tS2LXf+iKn2LZ5E+6RgaAPTP+E2+L3/REP/MleGP/AJEoAP8AhNvi9/0RD/zJXhj/AORKAD/hNvi9/wBEQ/8AMleGP/kSgA/4Tb4vf9EQ/wDMleGP/kSgA/4Tb4vf9EQ/8yV4Y/8AkSgA/wCE2+L3/REP/MleGP8A5EoAP+E2+L3/AERD/wAyV4Y/+RKAD/hNvi9/0RD/AMyV4Y/+RKAPM/FPin4jz/Ef4WXl58LPsGrWH/Ccf2Lov/Cb6Fdf299q0K3i1H/iYxW4ttL/ALLtgt3/AKWr/bd/kQbZFJoA9M/4Tb4vf9EQ/wDMleGP/kSgA/4Tb4vf9EQ/8yV4Y/8AkSgA/wCE2+L3/REP/MleGP8A5EoAP+E2+L3/AERD/wAyV4Y/+RKAD/hNvi9/0RD/AMyV4Y/+RKAD/hNvi9/0RD/zJXhj/wCRKAD/AITb4vf9EQ/8yV4Y/wDkSgA/4Tb4vf8AREP/ADJXhj/5EoA5nxr4v+KVz4N8W22ofB7+zLC48M69Bfal/wALB8O3v9n2culXUdzffY4LVZrv7JCzz/ZoWWWfy/KjIdlNAB4K8X/FK28G+ErbT/g9/adhb+GdBgsdS/4WD4dsv7Qs4tKtY7a++xz2rTWn2uFUn+zTM0sHmeVIS6saAOm/4Tb4vf8AREP/ADJXhj/5EoAP+E2+L3/REP8AzJXhj/5EoAP+E2+L3/REP/MleGP/AJEoAP8AhNvi9/0RD/zJXhj/AORKAD/hNvi9/wBEQ/8AMleGP/kSgA/4Tb4vf9EQ/wDMleGP/kSgA/4Tb4vf9EQ/8yV4Y/8AkSgA/wCE2+L3/REP/MleGP8A5EoA/PPxrPeXPjLxbc6hY/2Zf3HibXp77TftMV7/AGfeS6rdSXNj9sgCw3f2SZng+0wqsU/l+bGAjKKAP//X/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/APdNf/UYu6APZqACgAoAKACgAoAKAP4Hfjnet8S/21fiXNbjB8W/tE65YWwX0vfHkumQEZ9V2Hn1+tf9EPAFBcLeBfC0Ku2TeGmAxNW//Tjh6OLqLTs7rT5H+KfGVZ8Q+LnEE4b5px3i6MLf9Ps6eHhvfpbp95/bh4ltBYfE74BWIORZWfxBtAeORb+EbGEHjA5CZ4GPTFf88uJrfWMTiMQ1Z169Ws129rUlO34n+09Cl7GhRo3v7KlTpX7+zgo3/A9yrA1CgAoAKACgAoAKACgDxn9oP/kkPi7/ALgH/qT6LQB7NQAUAFABQAUAFABQAUAFAHjPwb/5qr/2Wbxz/wC4ugD2agAoAKACgAoAKACgAoA8Z/5uF/7oz/7u9AHs1ABQAUAFABQAUAFABQB4z+0H/wAkh8Xf9wD/ANSfRaAPZqACgAoAKACgAoAKACgAoA+MLr/hZ3/DFXiv/hS+/wD4Wp/wgvj7/hBvJ2faf7f/ALa137L9i8z5P7Q2+Z/Z2eft32fb8+2vMzr69/ZOYf2Zf6/9VrfVbfF7bk93l/v78n9/lt0P0nwd/wBSP+Ip8A/8RI5f9Rf9aMp/1o9pzex/sr6zH231nk976pfk+t9Pq3teb3bn8gWqXH7blpqN/c6rN+0/b6jDeXD3888nxRjaO8Ez+e0jgrErCbdkqQmfu/KFr+YakuKI1JyqPPFUUm5t/XtJX1b2S18/uuf9L2Bo/Rkr4PC0cBT8D6uEqYajHC06ceBZqeHdOPsYxi71GnT5bKS5rb3bke3fs+/8FNf2tf2cdfhstS8Z618Q/C1rqAGu+BPibPeavKUWbN7b2Wr6iZdf0K+bBUMk7xRuAJLNxuFerk/HPEOS1VCeJq4yhGf73C45yqS396Mak17WjL/t9pbOLu2fmXi39CfwA8Y8qq4rBcN5bwhntfCP+y+KeCqeHy+nzOmvq1bE5fg1HKs1wy0dpUYVJxbcMSnZn9VH7Jf7Z3wd/bA8G/8ACQ/DzVDYeJNNigHizwDrEsMfiXw1cyqMmSBSF1HS3kLR22sWW+0mK7JPJmJjr974f4ly3iPDe2wdTlrQUfrGEqNe3oSfdac9Nu6jUiuV21tof4SeP30b/EX6PPEf9kcX4FYrJsbUqf2DxXl9OpPJc5owbsoVZe9hMdGFpV8vxPLXp3vD2tJe0l9O+IvEegeEdD1TxN4p1rS/Dvh3RLOfUdY1zW7620zStMsbZDJPd31/eSQ21tBEgJeSWRFHTIJG735zjThKpOSjCEZTnJ6KMYq8pN9Ekm2fhGEwmJx+Kw2BwdCpicZjMRRwuFw1GLnWxGJxFSNKhRpQV3OpVqzjCEUruUkle6P4ff8Agot+1yv7UXx78V/EBdRNt8MPBFrd+HvAQunMVra+E9HknuLzX5ldmWGXXJ1n1a6Yn5LY2sbAeTX8vcXZ5V4kzypUo808PSl9Ty+mlrKCnbnSu/er1G577OK0sf8ATb9E/wAE8u+jp4KYHL83eHwnEOY4aXFfHuY1WoRoY6eEVaeFq1mlbC5FgYLCpy0U6eJq3ftLy/k0/aG/4LC/tk/EDRPEf7NHwA+KXif4T/s8aj4l1CGPwp8J/tHh3xV8VLq5khsl1Txr4o0cr4p15tQ+zxR6VoVpfWmlWentb2a6dPcm4u7j994SyOOQZLhsJKKWJqL6xjJW1eIqJOUG92qStTV/5W1uz/B/6WPjZW8dvGbiPirD16k+GsuqPIOEKEm+SnkWXVJwpYqMOaUY1MzrutmFWUVFy9vCLS5D6O/YB/4Nof8Agpj+3nLpXjbxD4FP7M/wg1uSO/n+KHx8g1LSNa1eyuy00moeG/h9s/4TLX5Z/mZbnULbRrCaVgz6ltYvX0x/NR/cZ/wT7/4Ncv8Agm5+xSdE8Y/ELwpdftbfGXTDb3f/AAmXxptLO68G6VqcLJMs/hn4X22/w1bC3mDC3uNfPiK9Me1mnicUAfuv8NdL0zRPid8YtI0XTrDSNJ063+GFpp+l6XaW9hp1haQ+FrpIbWysrSOG2tbeJQFjhgiSNF4VVAwwB7rQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/uUoA9moAKACgAoAKACgAoAKAOM+I/8AyTzx5/2Jnij/ANMd9QAfDj/knngP/sTPC/8A6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/wDdNf8A1GLugD2agAoAKACgAoAKACgAoA8Z8bf8le+CH/dSv/UYtKAPZqACgAoAKACgAoAKACgDjPiP/wAk88ef9iZ4o/8ATHfUAHw4/wCSeeA/+xM8L/8ApjsaAOzoAKACgAoAKACgAoAKAPya+I//ACUPx5/2Ofij/wBPl9QB/9D+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoAKACgAoAKACgAoAKAPGfBP/JXvjf8A901/9Ri7oA9moAKACgAoAKACgCOZikMrjqkbsPqqkj+VVBXnBdHKK+92Jm7Rk9rRbv2svn+X3n8DPwuiGuftpeBUu/3n9pftKaG85/56NcfEmCWQ85+8xOevXvX/AER8WzeA8DOIJUVy/VfC7HxprblVPhepCO1tku/3H+KPDkfrni3k6q+99Y8QMI5+bnn8JS+9n9wnjb/kr3wQ/wC6lf8AqMWlf87R/tgezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGfg3/zVX/ss3jn/wBxdAHs1ABQAUAFABQAUAFABQB4z/zcL/3Rn/3d6APZqACgAoAKACgAoAKACgDxn9oP/kkPi7/uAf8AqT6LQB7NQAUAFABQAUAFABQAUAFAHjP7Pn/JIfCP/cf/APUn1qgD2agD8mv+Cm/7L37GHi34V698Wfjp8Qfhv+zR4h8Pafd3Fh8afEeraL4T06eeBGnXTvE0NzLbf8JTbySNgwWsdxr0YkJsGZwkTfH8TcGZZxDSlPkjhMwjF+xxlKKV5dI4iMUvawb3bvOO8Wf159G36YniR9H/ADXD4N4zFcVeH9evSWa8JZniqtaOHo3jCrieH8TVnKWV42FNXhTi3gq0oxjWovmlOP8AIL+z9+0/beGPGn/C0f2XvjTpOv3fgzxBfaVa+NfA15dSaXqX2K5eKWK607VLSxurrRdWij8xbPWNMiivbV1kWLKq6fgFfD53wfmyu6uDxlCXNSqwu6VenfeL1jVo1FpKLT3s0m1y/wC8uSZ74MfS28KqsqUMv4v4RzygqGZZZi4QhmmRZi6d1TxFK8sTlOb4Kbc8PiKbV3Hno1KlKU4y8Y+NfxG/b7/ay/anm8fftW/tO+JfiV8BvDUR8QfDz4U6LJH4L8A2XiOWURWdlq3w98O/YdD1F9BWMajDqeqRanJe3ItZN8MsLov22d+IzzThz6lSpSw2ZYmSoY1w/hLDpXnUoy1a9u/ccG06a5rOV0fxp4Mfs9KHhf8ASG/11zHM8PxH4c8OUJZ1wXRxag8z/t+pWlTwuDzjD2VOf9iQvjKOLhF0sZUeGbhTq0akD9CfgF/wSX+LH/BTbwX4m8OWfxNPwK+CA1S10D4h/EW10hta8Ya9ZMq3Oo+Efh9pk0ltp32+5t2iXWNd1S7Wx0y1lS2jtb+5unjt8fDTh36/j5ZziYXwuXySw8ZL3auLaupLo1QXvPSXvyintY9T9pD9IN8CcC4bwh4bxvs+J/EDDzqZ9VoVEq+V8I058lWlJxblSrZ3Xi8LG/JL6nSxTjdTTP6P/wBgf/ghf/wTh/4J32mmal8HPgXo/i34oWUMYufjT8W47Xx98Rp7oLGZbnS73VLQaV4VR5kMsUHhjStK8ncEMsu0PX7+f4Kn6/UAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/APdNf/UYu6APZqACgAoAKACgAoAKACgDxnxt/wAle+CH/dSv/UYtKAPZqACgAoAKACgAoAKACgDjPiP/AMk88ef9iZ4o/wDTHfUAHw4/5J54D/7Ezwv/AOmOxoA7OgAoAKACgAoAKACgAoA/Jr4j/wDJQ/Hn/Y5+KP8A0+X1AH//0f7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df8AuUoA9moAKACgAoAKACgAoAKAOM+I/wDyTzx5/wBiZ4o/9Md9QAfDj/knngP/ALEzwv8A+mOxoA7OgAoAKACgAoAKACgAoA8Z8E/8le+N/wD3TX/1GLugD2agAoAKACgAoAKAK93/AMetz/17zf8Aotq1ofxqP/X2n/6WjOr/AAqv/Xuf/pLP4JPgQN37avwu3c5/aN8OE5/7KDAf51/0OeIOngVxZbp4ZZn5/wDNOVD/ABX4M/5O9w7/ANl9gf8A1eQP7ffG3/JXvgh/3Ur/ANRi0r/neP8Aaw9moAKACgAoAKACgAoAKAPGf2g/+SQ+Lv8AuAf+pPotAHs1ABQAUAFABQAUAFABQAUAeM/Bv/mqv/ZZvHP/ALi6APZqACgAoAKACgAoAKACgDxn/m4X/ujP/u70AezUAFABQAUAFABQAUAFAHjP7Qf/ACSHxd/3AP8A1J9FoA9moAKACgAoAKACgAoAKACgD8y/Hf8AwUL/AGNP2D/2dPDHi/8Aao+P3gL4WQC38Rz6d4d1LVY7/wAceIGTxFrkqW/h3wRpf2zxNq804XZC9tpptt5AkuIky9AH8h3/AAUE/wCDzzxLq39t+A/+Cc3wXj8M2TG4s4Pjv8crOHUdblTdsTUfC3wxs7p9N08yRktDL4q1PUZY3CvLpCY2UAfysyT/APBUT/gsp8bQrN+0N+2V8Tr27+VFGra14X8Jxynsiiy8B+AdJt4pOuNGtUtlySwXawB/Ud+w5/wbR/FL9h7wLrn7XH/BQD9qP/hTOi6LobS3fwE+B8mmeK9b8U390jppHhfxN4r161m8LyaheXckK29p4d0jWLm2milePWIoY5nr5bjDD5JVyXE1s7gnQoQcqVSFo4iNdpqnHDz1ftJysuSzjJX5rJNx/qH6InEXjNlPjNw1lXgvjKkc6z3F08Nm2XYpVa3D2LyWlJVMfX4gw0ZRg8FgqCnWWJUqVehVUFQrRnNQnyM8UU93enSre9NjHJcz26Tlbm7g09JCYnvZbaGGFpIoTGLmdIYITJllRFKov8tyScp+zjPkTk4qXvSUFs5uKSul8TSS7ctz/p2pVKlLD4ZY+thlipxo0q0qV6OHq4uUFzxw1OtUqVFGdRSdGlKpVqqFk5SkpSl+2/8AwTq/4Kr6F+zn4S0X4F/GHwbbx/DbT7u4bRvG3g3TYotZ0eXUrlri8uPE+kx7f+EhSSZ2eTU7Zl1VU2I8N2kKKv6fwZx9SybD0spzLDpYKEpOlisNBe0pOb5pOvTVvapttuafP35re9/mZ9ML6B+aeMPEGZ+KPh3xHWnxni6FFZlwzxHjJzy3MYYOiqOHpZJj5xf9kShSiowwVbmwMpKUoVMPKpJn9Pfw4+JngL4u+EdM8d/DXxVo/jLwnq6M1jrWi3aXVs7pt822mUYltLy3LKtxZXUcV1AWUSxLuQt+6YLHYTMcPTxeCxFPE4eorxq0pKUb9YvrGUb+9GSjJdVqj/EPjLgrivw+4gxvC3GmRZjw7n+XySxWW5lQlQrRjK/s61Ju9PEYeqk3RxNCdShVSbhN2aO5rqPlwoA8Z8E/8le+N/8A3TX/ANRi7oA9moAKACgAoAKACgAoAKAPGfjJ/wA0q/7LN4G/9ylAHs1ABQAUAFABQAUAFABQBxnxH/5J548/7EzxR/6Y76gA+HH/ACTzwH/2Jnhf/wBMdjQB2dABQAUAFABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z42/5K98EP8AupX/AKjFpQB7NQAUAFABQAUAFABQAUAcZ8R/+SeePP8AsTPFH/pjvqAD4cf8k88B/wDYmeF//THY0AdnQAUAFABQAUAFABQAUAfk18R/+Sh+PP8Asc/FH/p8vqAP/9L+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoAKACgAoAKACgAoAKAPGfBP/JXvjf8A901/9Ri7oA9moAKACgAoAKACgCtef8el1/17T/8Aop/p/P8AKtaH8ej/ANfaf/paM638Kr/17n/6Sz+Cf4BL5n7bHwrXP3v2jfDftz/wn8B9+/t+df8AQ54ivl8CeLnbbwyzTT/u3anr/Xbc/wAV+CVzeL3DafXj3Af+ruHmvz+8/t78bf8AJXvgh/3Ur/1GLSv+d4/2sPZqACgAoAKACgAoAKACgDxn9oP/AJJD4u/7gH/qT6LQB7NQAUAFABQAUAFABQAUAFAHjPwb/wCaq/8AZZvHP/uLoA9moAKACgAoAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgD8kP29v+C4H/AATl/wCCdtnqVj8bvjvoniD4mWcEjWvwW+Fklv49+Jl1cgSLFb3+laTdfYPDCPMgilufFGpaQkIfeFlAoA/h2/4KC/8AB4B+2l+0H/bngf8AY08K6b+yN8Nrv7RaQ+MGltPGHxw1GxcBUmGvXNu3hzwhcthmA0DTLu9gD7Y9YZlLsAfid+yp/wAE1f8Agpn/AMFXfHkniT4VfC/4ofFoaxfldf8Ajp8UdU1PTvAFg080sss2pfEbxdIbS7SKVpmNhokmqXaOWSGxJ+SgD+0r/gnz/wAGbX7OvwrOiePP2+viff8A7QvjC3NveyfCX4evqHg74S2Nyhjm+x61rh8jxh4vjjbdb3McDeG7C5CkmGWJsUAf1/8AwX+AnwO/Zq8CWPw6+BHws8A/B3wDo1vGlv4d8CeHNK8M6UkdtFtFze/YYIXvrlIhiXUNSmurt1GZrhuTQ3bV6JatvoVGMpyjCEZTnOSjGEU5SlKTtGMYq7cm3ZJK7eivdH8pn/BVj9tqX9pf4uP8N/AupyS/B34Wajd6dprWsjfZfGPiuNjbap4mdR/r7S3ZX07QwwVfsyTXYUNeLt/nHj/id53mH1LCVG8twE5Qhyv3cRiF7tSs1pzRi7wpX6XaS5rx/wCiT6B30Z4eC3h+uM+KcFCHiJx1hMPjMZGvBe34dyGaVfA5LGTX7rEVk44zM7a+2lSw7dqDR+sf/BKz/gn54f8Ahh8I7n4r/Gjwhp2sfEH4v6CbeDw/4j02G9h8M/DzVIkkh0uexvYpY01LxFCY73VN8KyxWv2Wz3fLKK/QOAeEKOAy54/M8PCpjMxpWVKtBTVDB1FdU3GS0nWVpT3tHljdan8D/Tt+lrm/G/iBR4C8N+IMZl3CXh5mqq1c2yfGVMNUzvi/AzlCpjqWKw04zlg8nqKeGwNpuFSv9YxDjrBnlf7XH/BEnw34pnv/ABn+ytrFl4N1e4me5uvhn4nup/8AhFZ3kcs48O62EuLvQwC+UsL2K7sURPLhngBVV4OIfDChiHPE5DVjhqjfNLBV5N4eTb19jV5XKlv8E1KGlk43R919H/8AaZZ1kdLC8OeO2XYniPL6NONGhxrklCks+pRhFKLzfLeehh8zbUfexWGnh8VKUuapTrP3j7n/AOCZv7IHjv8AY9+C3iDwr8SPEGnar4q8ZeLG8UXmkaJdzX2ieG4o9OtdNhsrS9mjgF1dXIt2ub6aG3jgLGFEaUq7L9TwRw5i+HMsrYfG1oVK+JxHt5U6UnOlQShGCjGTUbylbmm0rbJXs3L+Xvpq/SF4V+kP4k5Tn3BuU4zA5Fw7kEcjw+YZnQpYXM85nPGVsbUxOIw1OdZ0KFF1VRwtOrWnVUVVlJQUoqX6O19ofxwFAHjPgn/kr3xv/wC6a/8AqMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df+5SgD2agAoAKACgAoAKACgAoA4z4j/8k88ef9iZ4o/9Md9QAfDj/knngP8A7Ezwv/6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/wAle+N//dNf/UYu6APZqACgAoAKACgAoAKACgDxnxt/yV74If8AdSv/AFGLSgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgD8mviP8A8lD8ef8AY5+KP/T5fUAf/9P+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoAKACgAoAKACgAoAKAPGfBP/JXvjf8A901/9Ri7oA9moAKACgAoAKACgClqT+Xp1/IeAlldOT6bYHP9K3wq5sTh4/zV6K++pFef5feZV3y0K0ukaVR/dBvy/P7j+C/9m1ftn7bPwf2/N537Q/hmRe+c+OYJAe+fX+eOtf8AQv4ofufAjjW+ns/DTNYvpZrIKsfLr6fI/wAWuAP3vi/ws1rz8d5fJW63ziMv6fzP7d/G3/JXvgh/3Ur/ANRi0r/nhP8Aao9moAKACgAoAKACgAoAKAPGf2g/+SQ+Lv8AuAf+pPotAHs1ABQAUAFABQAUAFABQAUAeM/Bv/mqv/ZZvHP/ALi6APZqACgAoAKACgAoAKACgDxn/m4X/ujP/u70AezUAFABQAUAFABQAUAFAHjP7Qf/ACSHxd/3AP8A1J9FoA9moAimmhtoZbi4ljgt7eKSaeeZ1ihhhiQvLLLI5VI440Vnkd2VUVSzEAE0m0k22kkm227JJattvRJLdv8AQulSqVqlOjRpzq1as4UqVKnGU6lSpUkowp04RTlOc5NRjGKcpSaSTbSPjH4T/wDBQX9lX41/Fi/+C/w++Iw1TxvayX8NhFc6RqWnaR4jl0wSNfReG9Yu4Y7TVZIooZp0RDE1xDE8lsJQArfNZfxfkGZ5hPLMHjfaYqLmoKVOcKdZ0786o1JRUZtJNpXfMk3Huf0hx79Enx38NOAcL4k8W8HPA8M14YSpip0cfg8ZmGT08a4Rws85y/D1alfAwqTqU6cpSVRUqk4wrOk78v2nX0x/NhS1HUtO0ewu9V1e/stK0vT7eS7v9S1G6gsbCytYVLzXN3eXMkNvbW8SAvJNNKkcags7KOWAP50P+CgX/B0D/wAE1v2JTrfhHwV40uP2r/jJphuLT/hBvgjdWWo+F9N1OBmia28TfE6ct4WsBDLtM8GjNr995e4LahxigD+HX/goB/wc4f8ABS39ul9X8E+D/GafsufB7WnlsI/h18Cri/07xLrFjdfuFsfEnxHdv+Eu1d7hSgktdIk0KxkmLKtiVYKwB5x+wZ/wbu/8FO/+CiF/YeNofhrqHwV+FfiG5XUL/wCNv7Qp1Xw3BqtvdylrnVdB8O3kMvjbxncOSZfPt9OisrovvbVVBZ1AP7gv+Cff/BqH/wAE7/2RjofjP47WOofti/F7Tvs94+ofEy0j0/4WaVqcYil36J8MrGaSyv0trpN1rceLL/XnZQGa1hJZKAP6Ef2YtD0Xw38DfAmh+HdI0vQdF02DXLbTtI0WwtdL0uwto/E2siO3s7CyigtbWFAAEigiVFHAHTaAe9UAeFftO2HxD1X9nn4zaZ8J4WuPiNqPw78T2PhK3jIE8+qXWmzQLDalmQfbZYHmjsRuUm8aEL8xUN5WewxlTJ8zp5er42eDrww6W7qSg1aP99q6h/esfqXgji+EMB4veHGO49qKjwfg+MMkxWf1ppulSwNDG0qrqV7Jv6tTqxpSxTs0sOqraaVj+Xb/AIJm/sI+PPiZ+0npevfGP4XeKtF+Gvwtmn1/X18X6BqOjWWseKNPkUaB4e2anBatqIOpY1C+jtjKn2WxdZSUlO78J4H4UxeOzuFbMsBXp4LAt1q31ilOnGpiIP8Ac0vf5XP3/fmk37sXdq75v9xvprfSm4V4K8GMdlXhzxxkWZcacc06WU5TLh7NcHmOJy7I8XBvNs35sFWxCwbWCvhMLOsoS9viouEVOB/X4iLGqoiqiIoREQBVRVGFVVGAqqAAABgAYGOK/os/56JSlKTlJuUpNylKTblKTd223dtt3bbd29XcdQIKACgAoA8Z8E/8le+N/wD3TX/1GLugD2agAoAKACgAoAKACgAoA8Z+Mn/NKv8Ass3gb/3KUAezUAFABQAUAFABQAUAFAHGfEf/AJJ548/7EzxR/wCmO+oAPhx/yTzwH/2Jnhf/ANMdjQB2dABQAUAFABQAUAFABQB4z4J/5K98b/8Aumv/AKjF3QB7NQAUAFABQAUAFABQAUAeM+Nv+SvfBD/upX/qMWlAHs1ABQAUAFABQAUAFABQBxnxH/5J548/7EzxR/6Y76gA+HH/ACTzwH/2Jnhf/wBMdjQB2dABQAUAFABQAUAFABQB+TXxH/5KH48/7HPxR/6fL6gD/9T+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoAKACgAoAKACgAoAKAPGfBP/JXvjf8A901/9Ri7oA9moAKACgAoAKACgDm/GV2lh4Q8V30jiOOy8N65du7HARLbS7qZnJPAChCST0AzXqZHReIzrJ8PFOUq+aZfRUVvJ1cXRgkt9W5W2+84M1qqjleZVpPlVLAYyq5PSyp4epJu+trJX2+8/ha/YZtv7d/bg/Z4QKZhd/Gnw7e4A3blh1Vr8uc4JVViLscZCgnjFf7/APj7V/s/wF8SpNqn7HgXM6F3pZzwaw6j6tzUUlu3ZH+Nvg7T+u+MPAsVefteLsDW01uoYl12+vSN3pt3P7Y/G3/JXvgh/wB1K/8AUYtK/wCew/2hPZqACgAoAKACgAoAKACgDxn9oP8A5JD4u/7gH/qT6LQB7NQAUAFABQAUAFABQAUAFAHjPwb/AOaq/wDZZvHP/uLoA9moAKACgAoAKACgAoAKAPGf+bhf+6M/+7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf9wD/wBSfRaAPZqAPyO/4K9ftZ/8KE+AjfDLwrqf2b4lfGqC90O2a2mKXuieCYwIvEutDYyyRPfJIuh2Mq5/eXV04/1BNfnviJxB/ZGUvBYefLjszUqUeV2lSwy0r1d7rmT9lB23crXt7v8AoF+z38Av+IreK0eNs9wXt+DPDWrhszrKtT5sNmfEsn7TJctd4yhUjhZQeZ4qDt7lDDxb/epH4of8Erfh34H0n4qan+1h8bvHnhn4VfBT9nWCbVbzxr418Q6b4V8P3PjLUNOu4dO0s6vq11bWz/YNOlu9UvLRGaaYfY4I1LzqrfnfhpkVTH5v/as7xwuVvmjLb2mKqQcYU0+qhCUpz0/lWlz/AEB/aQ+NmB4H8JH4YYKdCvxL4nJYevQlacsv4YwGJpV8djpw+zPF4qjQwWEldO/1maT9kjS/4KC/8Hg/7G/wDOt+B/2LPB+pftafEW0+0WcXje8e98GfBHTr2MhVuItVuIF8UeMrcZLL/YunafYz7cR6wVYMv9DH/P4fxNftjf8ABX//AIKhf8FU/GCeB/HvxR8fa/oPiTUDb+HP2dPgVpWsaF4LnaZmjgsI/BnhU3Or+LrkROkUk/iG51yeUr5p8rOygD9Lf+Cf3/BpR/wUC/alOieM/wBpSTS/2OPhRfG3u5IvGtuNf+MOqac7I7jTPh5p9wkehzTW7h7ebxbquluhPz6dKVZKAP7if+Cfv/Bvj/wTX/4J7x6R4h8FfB60+MPxh06OJ5fjP8cIbDxt4oiv1RVluvDejXNovhbwgruoliGi6Sl7CwUm/kYeZQB+3iqqKqIoVVAVVUAKqqMBVAwAAAAABgAYGMCgBaAPGf2fP+SQ+Ef+4/8A+pPrVAHs1ABQAUAFABQAUAFABQB4z4J/5K98b/8Aumv/AKjF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/uUoA9moAKACgAoAKACgAoAKAOM+I//JPPHn/YmeKP/THfUAHw4/5J54D/AOxM8L/+mOxoA7OgAoAKACgAoAKACgAoA8Z8E/8AJXvjf/3TX/1GLugD2agAoAKACgAoAKACgAoA8Z8bf8le+CH/AHUr/wBRi0oA9moAKACgAoAKACgAoAKAOM+I/wDyTzx5/wBiZ4o/9Md9QAfDj/knngP/ALEzwv8A+mOxoA7OgAoAKACgAoAKACgAoA/Jr4j/APJQ/Hn/AGOfij/0+X1AH//V/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/APdNf/UYu6APZqACgAoAKACgAoA+cf2v/GsHw7/Zb+P3jGdyi6R8KfGYiYNtb7XqOi3WlWKof773l9AiDqXYAckV+neC+Q1OJvFnw6ySmuZ43i/I+dWulRw2OpYvENrtGhh6kn0SV3pc+C8Us3hkXhzxtms3ZYXhvNuV3t+9r4SphqKT11dWtBLTVuyufyRf8Ek/B8vi79u/4OMkXmxeFh4p8YXRPSGLR/DOpxxSngji9vLRFzj53XBJOK/2S+mPnUMm+j5xspT5J5u8pyWkus543NMLKcF60KFaT392Lv3j/mH9GLK55p4z8KuMeaGW/wBo5pVfSMcLl+IUZf8Ag2rTS21enaX9gvjb/kr3wQ/7qV/6jFpX+D5/ryezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/cA/8AUn0WgD2agAoAKACgAoAKACgAoAKAPGfg3/zVX/ss3jn/ANxdAHs1AHyP+19+2d8J/wBjPwNY+LviK1/q+q67eNYeFvBegNat4g1+eJfMup4lupYoLPTbGPBu9QuD5SSPDBGkksoVf2XwX8DuMPHDP8Rk3DKw+CwmX0FiM2z3MVWWW5dTm+WjTm6NOdStisRJNUcNT96UY1KkpQhC5+YeKXixwz4UZNRzTPnWxOIxlV0MuynBOk8djZxXNUnBVZxhSoUY29rXn7sXKMUpSdo3P2Q/2vPhr+2V8Nrr4ifDu21fSG0jWJNA8S+GtfSAaroWqrbxXcUUs1pLNaXdtd2k8c9rdQOoceYjxI8Z3Y+M/gxxR4I8UUeGuJa2CxqxuCjmOV5pl0qjwmYYR1J0ZyjCtCFajVo1qcqdWlUi+X3JRnKMrmvhd4o8P+K3D9TPcip4rC/VcVLBZhgMbGCxODxKhGrGMpUpzpVKdSlNTp1INc3vJxi4+99WV+QH6UFABQAUAFAHjP8AzcL/AN0Z/wDd3oA9moAKACgAoAKACgAoAKAPGf2g/wDkkPi7/uAf+pPotAHIftH/ALYX7NP7JPh2DxJ+0H8YfBnw5i1GRbbw/oeratBJ4u8W6jNuS00nwj4QtDP4i8SaleTqLa3g0vT7hfOdfPlgjDuuOIxFLC0K2JrzVOjQpzq1ZvRRhBOUn06LTu7LW9j1+H8hzXijPMp4cyPB1cwzjO8wwuWZbgqMXOpiMZjK0KNCnFRu0nOac5bQgpTlaMZM/ii/bo/a5n/aB+K/xH/aA8bXcmheDdLtLs6BYahMix+F/AegRzPp1pIFd4BeyQB7y/8AKZ/tGp3cqLJL+7av5ZzzM8XxVn061OE5yxNaGGwNBXbhRUuWjBLo5X556byk25W93/p+8FPDbhX6L3gbg8nx+KwuEocO5RieJOOM9nyQji82eGWKzjFyqN3nSo+z+p4Gm5v9zRo04JSk+b+RvxLrX7av/BTv4zS/Db4H+DfjP8ZtHXXblfh78HPA1jrus+GvC+nzTsLbUr7SbIJ4d0jUL9EF1qviPWzbSvK3lT6j9nt4Ei/pDhzJqWQ5Thcvp2c4R58RUX/L3EzSdWfpf3Y6ytGMdT/nX+kN4xZp46eK/E/H2OlVhgsZinguHcBUk3HLOHcDKdLK8LGOijUlRvicTZXliq9ZtyunL+mb/gn3/wAGZ/xp8e/2J48/4KE/Fux+DXhuX7PfS/Bj4TXFh4q+I93AfKm+w+IfGc0U3hPww80TNDcxaTD4kvLd9yiaCRQy+4fiR/bh+xR/wS5/YV/4J8eHbfRf2XP2fvBngjV1to7fUviHqFmvib4oa+0aGNp9Z8e64LvXpWmUnzbayuLDTj0jsYlVVoA/QCgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQAUAFABQAUAFABQAUAeM+Cf+SvfG/wD7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/uUoA9moAKACgAoAKACgAoAKAOM+I/8AyTzx5/2Jnij/ANMd9QAfDj/knngP/sTPC/8A6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/wDdNf8A1GLugD2agAoAKACgAoAKACgAoA8Z8bf8le+CH/dSv/UYtKAPZqACgAoAKACgAoAKACgDjPiP/wAk88ef9iZ4o/8ATHfUAHw4/wCSeeA/+xM8L/8ApjsaAOzoAKACgAoAKACgAoAKAPya+I//ACUPx5/2Ofij/wBPl9QB/9b+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoAKACgAoAKACgAoAKAPGfBP/JXvjf8A901/9Ri7oA9moAKACgAoAKACgD8fv+C2fxQHgf8AY7k8H29y0GpfFbxx4f8ADSIjbWl0nR2l8S6wCOrRn+zbGCTAxi4AON1f2n9BHhN5/wCNcc7qUlUwvCGQZjmkpNXUMZjVHK8E10Uv9pxE49f3ba2Z/LX0u+Iv7H8KpZXCo4YjiXOMDl6inZzw2FcswxSfVx/2ejBq1vf1tdH58/8ABAz4YnUviV8a/i5dWu+Dwt4U0bwVpV0y8R6j4nv31PUVR8YDrp+iQKwBzsuOcAjd/SH7RHiv6rwtwJwZSq2qZvnGOz3GUk/iw2VYeOFwzkuzxGPqNXW9LrY/DfoUcO/WOIOLuKKlO8Muy3C5ThqjWkcRmFZ4iuk9rqhhYJ2d7VNbXP6IfG3/ACV74If91K/9Ri0r/Jw/0XPZqACgAoAKACgAoAKACgDxn9oP/kkPi7/uAf8AqT6LQB7NQAUAFABQAUAFAHx/+0X+3Z+zV+yv4h8O+FPjB43m0nxH4kgS+tdI0nRtQ168sdLkna2j1XV49Oik/s6wkmjlWKSYmaUQyvFA6LuX9q8M/o++KXi5luZZxwVkMMZlmV1Xh6uNxmOw2X0MRi401Vng8FLE1Kf1nERhKDnGCcIOcFOopS5Y/lvHnjL4f+G+OwGW8VZxLC4/MIKtSwuGwtfGVaOHlN044nFRoQn7Cg5Rkoyl70uWTjTko3PpPwN488GfEzwvpXjTwB4m0fxd4V1u3S60zXNDvYr6wuonUNgSREmOZAwE1vMsVxA/yTQxPlK/Ls/4dzzhXNsXkXEeVY3Js3wFWVLFYDMKE8PiKU4tq/LNLnhJp8lWDnTqL3oTlFpn32TZ1lPEOXYbNskzDC5pluLgqmHxmDrRrUakWr6Sj8Mle0oTUZxekoxaaOtrxj1Dxn4N/wDNVf8Ass3jn/3F0AT/AB1+OPw+/Z1+GXiT4rfEvV4tJ8N+HbVnCblN9q+oyKRYaJpFuWD3mqalOFgtoIwx5aWTbDFI9faeH3APEniZxVlfCHC2CnjMzzOsouVn9XwWGi08Rj8bVWlHCYWnepVqSa2UI3nKEZfLcZcY5HwJw9j+JeIMVHC4DA03K1062KryTVDCYWndOriMRO0KcFtdzdoxk4/xK/Hz41fGL/goB+0nHqyadqGra94w1mDwt8NPAenmS4t/D+iy3JTTNIs4k3ojLGTfa3qJH76b7Td3MphhTZ/u/wCHfAvBP0c/C+WDlisPg8uyXA1M34p4hxKjTqZljoUubF42tN2k05fuMDhl8EPZUaUHObUv8huNeLuKvG/j+OJjh6+KxuaYuGW8PZLRcpwwOElUth8LSiuZJqLdbF1/tT9pVqNxinH+vT9g39kTRf2OPgZpngCG4TU/GevXEfib4ja5GxMGoeKLi0hge1sV6Jpmj28aafY/eeVY5bmR2afC/wCMP0hfGfHeNvH+K4jnSeEyPL6csq4YwEkvaYbKadapUjVxErJyxeNqSeJxF1GMHKNKEVGmub/UfwX8LsJ4U8G4fI41FiM2xlSOYZ9jIv3K+Y1KUIOnR6LD4WEVRo6yclGVRv3j7Vr8KP1sKACgAoAKAPGf+bhf+6M/+7vQB7NQAUAFABQAUAFAHmPxo+KWi/BL4UeP/i14itby+0b4f+GNT8S31jYBTeXqWEJeKzty+UjkupzFB5zhkhEhmZWVGVuHM8fSyvL8XmFaMp0sHQqV5wh8UlBaRV7pOTsrtaXvrY+28N+Bsy8TOPeE+AMor4fC5jxZneCyXC4rFtrD4aWLqcs8RVUbSlGhSU6vs4tSqOCpxcXK5+Ffw/8A+C+Xh6XUNST4qfAPWtP0nzJn0m5+H/iKx1rUhAoYwwX2n+IxoFrJcyYVGmh1W3hV2yUCDdX5ZgfFnDzquOY5ZUoUXL3auFqe2lGP/TynPlcmlu4S16RVrS/1B43/AGVOeYTKqWJ8PvEzBZzm1LD82KyzibKpZRQxWJUfejgcwwNXHqjCUrqEcXhttZVovQ/ni/4K2/8ABx9/wUg8ZaP4p+GX7L/7L99+zf8ACC/ZbWf4t6nFYfFX4maraWtzDdRXNpPon2/wd4HPn2sFwhW01i+hRmjGoKRvr77LeLeHs1tHCZnh/aP/AJc15fV63/gFVQv/ANuyl662P4P8Rfop+P3hcq1binw3z3+zqMmpZzktFZ/lLS+28XlLxKowtrfERo2WrWt4/in+wp4K+Mv7QXj7Xf20f2p/HHj34peOr+61DTvBGt/E3W9W8Q6zPcySPFrfiOGTWp53traCXzdN0qG0igtIJReSWqx+WgT888TuJbRhw/g6i99QrZhOEvsO0qOHuuktKlRKT05E002f6B/s1fo4OdfF+PfF+Xyj9Uq4vJuAcHjKLjKOJp3oZtxB7OrFSUqLc8uwMnTi41PrVWFRuK5f64/2Gf8Agjp8Pf29Ph3c+O/2p5vF8fwHk16GDR/h34b1SfwxN8VZdFnWa5fxFr1qBq0Hgi1vo0t5dO0hrOfxBdRSJJqcNlaSW97l4Y8N80pcQ4uHuw5qOXRkt5bVcRZ30j/Dpuy152noj1f2lv0i44XCYbwB4Vx3+04yOGzbxAxGGqu9LCXVbK+HpzhJJSxElHMMwpNy/dQwtKpFKpOJ/Ud+z3+y5+zt+yh4Gsvhv+zh8Gvh98GvBdjEkSaN4F8OWGjC78vkT6rfwo2p61dkklr3V7y9u3Jy03av2s/xgPeqACgAoAKACgAoA8Z/Z8/5JD4R/wC4/wD+pPrVAHs1ABQAUAFABQAUAFABQB4z4J/5K98b/wDumv8A6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/AJpV/wBlm8Df+5SgD2agAoAKACgAoAKACgAoA4z4j/8AJPPHn/YmeKP/AEx31AB8OP8AknngP/sTPC//AKY7GgDs6ACgAoAKACgAoAKACgDxnwT/AMle+N//AHTX/wBRi7oA9moAKACgAoAKACgAoAKAPGfG3/JXvgh/3Ur/ANRi0oA9moAKACgAoAKACgAoAKAOM+I//JPPHn/YmeKP/THfUAHw4/5J54D/AOxM8L/+mOxoA7OgAoAKACgAoAKACgAoA/Jr4j/8lD8ef9jn4o/9Pl9QB//X/vF/4WP8PP8AofPBn/hT6H/8nUAH/Cx/h5/0Pngz/wAKfQ//AJOoAP8AhY/w8/6HzwZ/4U+h/wDydQAf8LH+Hn/Q+eDP/Cn0P/5OoAP+Fj/Dz/ofPBn/AIU+h/8AydQB5N/wmvg3/hev9r/8Jb4Z/sn/AIVN/Zv9qf29pX9nf2j/AMJh9p+wfbftf2b7b9m/0j7L5vn+R+98vy/moA9Z/wCFj/Dz/ofPBn/hT6H/APJ1AB/wsf4ef9D54M/8KfQ//k6gA/4WP8PP+h88Gf8AhT6H/wDJ1AB/wsf4ef8AQ+eDP/Cn0P8A+TqAD/hY/wAPP+h88Gf+FPof/wAnUAH/AAsf4ef9D54M/wDCn0P/AOTqAD/hY/w8/wCh88Gf+FPof/ydQAf8LH+Hn/Q+eDP/AAp9D/8Ak6gDyb45eNfBur/C3xRp+leLfDOp39x/YnkWOn69pV7eT+V4i0ieXyba2u5ZpPLhikmk2I2yKN5Gwis1AHrP/Cx/h5/0Pngz/wAKfQ//AJOoAP8AhY/w8/6HzwZ/4U+h/wDydQAf8LH+Hn/Q+eDP/Cn0P/5OoAP+Fj/Dz/ofPBn/AIU+h/8AydQAf8LH+Hn/AEPngz/wp9D/APk6gA/4WP8ADz/ofPBn/hT6H/8AJ1AB/wALH+Hn/Q+eDP8Awp9D/wDk6gA/4WP8PP8AofPBn/hT6H/8nUAH/Cx/h5/0Pngz/wAKfQ//AJOoA8m+BvjXwbpHwt8L6fqvi3wzpl/b/wBt+fY6hr2lWV5B5viLV54vOtrm7imj8yGWOaPei74pEkXKMrUAes/8LH+Hn/Q+eDP/AAp9D/8Ak6gD+Hb/AIPavE3hvX/gV+wjHoXiHQ9bktvi18XnuE0nVrDUXgR/B3hZUeZbO4naJXYEKzhQxUgZINAHsf8AwZaeKvC+g/sKftQW+ueJNB0W4m/ahWaKDVtY07TppYv+FZeEE82OK8uYXePcpXeqsu5SM5DBQD+yb/hY/wAPP+h88Gf+FPof/wAnUAH/AAsf4ef9D54M/wDCn0P/AOTqAD/hY/w8/wCh88Gf+FPof/ydQAf8LH+Hn/Q+eDP/AAp9D/8Ak6gA/wCFj/Dz/ofPBn/hT6H/APJ1AHk3hDxr4Ntvil8YdQufFvhm3sNT/wCFff2bfT69pUVnqH2Lw7dQXn2G5ku1hu/skzLDc+Q8nkSsI5drnbQB6z/wsf4ef9D54M/8KfQ//k6gA/4WP8PP+h88Gf8AhT6H/wDJ1AB/wsf4ef8AQ+eDP/Cn0P8A+TqAD/hY/wAPP+h88Gf+FPof/wAnUAH/AAsf4ef9D54M/wDCn0P/AOTqAD/hY/w8/wCh88Gf+FPof/ydQAf8LH+Hn/Q+eDP/AAp9D/8Ak6gA/wCFj/Dz/ofPBn/hT6H/APJ1AHk3xY8a+DdR/wCFa/2f4t8M3/2D4s+DdSvvsWvaVdfY9Otf7S+03935F3J9nsrfzE8+6m2QRb18yRdw3AHrP/Cx/h5/0Pngz/wp9D/+TqAD/hY/w8/6HzwZ/wCFPof/AMnUAH/Cx/h5/wBD54M/8KfQ/wD5OoAP+Fj/AA8/6HzwZ/4U+h//ACdQAf8ACx/h5/0Pngz/AMKfQ/8A5OoAP+Fj/Dz/AKHzwZ/4U+h//J1AB/wsf4ef9D54M/8ACn0P/wCTqAD/AIWP8PP+h88Gf+FPof8A8nUAcl4+8feBbzwL41s7Pxr4Su7u68JeI7a1tbbxHo89xc3E+j3sUFvbwxXrSzTTSOscUUas8jsqIpYgMAHgHx94Fs/AvgqzvPGvhK0u7Xwl4ctrq1ufEejwXFtcQaPZRT29xDLerLDNDIjRyxSKrxurI6hgQoB1v/Cx/h5/0Pngz/wp9D/+TqAD/hY/w8/6HzwZ/wCFPof/AMnUAH/Cx/h5/wBD54M/8KfQ/wD5OoAP+Fj/AA8/6HzwZ/4U+h//ACdQAf8ACx/h5/0Pngz/AMKfQ/8A5OoAP+Fj/Dz/AKHzwZ/4U+h//J1AB/wsf4ef9D54M/8ACn0P/wCTqAD/AIWP8PP+h88Gf+FPof8A8nUAeTeEPGvg22+KXxh1C58W+Gbew1P/AIV9/Zt9Pr2lRWeofYvDt1BefYbmS7WG7+yTMsNz5DyeRKwjl2udtAHrP/Cx/h5/0Pngz/wp9D/+TqAD/hY/w8/6HzwZ/wCFPof/AMnUAH/Cx/h5/wBD54M/8KfQ/wD5OoAP+Fj/AA8/6HzwZ/4U+h//ACdQAf8ACx/h5/0Pngz/AMKfQ/8A5OoAP+Fj/Dz/AKHzwZ/4U+h//J1AH8tn/Bcj4/6L8RvjT8PPhP4U1uz1nRvhh4ZudV1q40u+tr/TX8UeLpYJfJSe0llga4sNGsLFZl3F43vHjbaQQ3+v/wCz94DrZLwBxFxxjaHs63F+a08JlspRcajynJFVpOorrWnXx9fEcri7SVBPXTl/zT+mZxfTzTjHJOEsLV56XDWX1MVjoxknBZjmrpzUHZ6TpYOjR5k1de1a0+1+nP8AwRy8OeDfhJ+x9pOra/4l8LaN4k+KPijWvG19a3/iDR7W+XSlMWieHxcW813HPDvsNNa8jjlVW2XgbADAt/If04OM4cU+N+YZZhq6rYLg3K8Dw/BRd4wx1pY/M0tEuaOIxSoTs5e9Qs7Wsf0n9E/haXD/AIUYPH16LpYrifMMXnMm1aUsJeOEwDfW0qOHdWF+lW63P0B8X+NfBtz8Uvg9qFt4t8M3Fhpn/Cwf7SvoNe0qWz0/7b4dtYLP7dcx3bQ2n2uZWhtvPePz5VMcW5xtr+PD+mT1n/hY/wAPP+h88Gf+FPof/wAnUAH/AAsf4ef9D54M/wDCn0P/AOTqAD/hY/w8/wCh88Gf+FPof/ydQAf8LH+Hn/Q+eDP/AAp9D/8Ak6gA/wCFj/Dz/ofPBn/hT6H/APJ1AB/wsf4ef9D54M/8KfQ//k6gA/4WP8PP+h88Gf8AhT6H/wDJ1AB/wsf4ef8AQ+eDP/Cn0P8A+TqAPJvjl418G6v8LfFGn6V4t8M6nf3H9ieRY6fr2lXt5P5XiLSJ5fJtra7lmk8uGKSaTYjbIo3kbCKzUAes/wDCx/h5/wBD54M/8KfQ/wD5OoAP+Fj/AA8/6HzwZ/4U+h//ACdQAf8ACx/h5/0Pngz/AMKfQ/8A5OoAP+Fj/Dz/AKHzwZ/4U+h//J1AB/wsf4ef9D54M/8ACn0P/wCTqAD/AIWP8PP+h88Gf+FPof8A8nUAfhv/AMFTP2FbH9pjxEnx8+DPxP8AAt98QdL8L2Wha54A1TxboNtH4k0/RHupbG48O6i+oiC21eOG5lhbT7xY4L5kiMd1FMxRv76+iT9KfIvCvLX4d8cYSph+HMXm1fMMBxHhIurLLMTj40YV6eZ4aKlUq4NzoxqLE0L1KClNTpTglKP8d/SP+j5m3iFjlxrwniIVs8wuXUsHjMkxEvZrMKGEdSVGeBxDkoU8VGFSUHQqpQrWjy1Izdj8Ifgx+0r+09+xP42vLbwV4h17wZeWl5t8Q+AvEMMl54X1ZopGV11HQLp2s5hIVIj1PTmhuHADwXpQLX+jnGPht4QfSB4dw+MzPCZRxLgsRRvlfE+S4misxwylFNPCZrheapHluubC4j2lOLbjUopu0f4f4Z468S/BnO62GwOIzLIsTQq2x+QZrRqvA4hptSWIy+ulCXM0+WvQ5JvSVOu0kz9zfgj/AMF6Ph5qlpZ6d8fvhZr/AIU1YAJd+I/h/JD4h0GXCgee2i6jLZaxZlyCzRQXOpKucKwwA38Ecefs9OJcJWrYnw64ty7N8G25Uss4jjPLcwhdt+zWOwtKvgq6irJTnSwre7Tu3H+wuD/pp5DiaVKhxtw3jcsxKsqmOyRxx+ClZW53ha86GKpNu7cIzrpXsm7Hk/7QH/BYqPwV4cvLb9k270fVdW8cfE3x74o1jX/F/h69a58PaLMuiLo1tF4fvzaxG71QyXUxuZ2u4IhZPEqbw4fo8EfoK43FZpnlTxtwuNwGDwEcJTyfLskzXDOjmssR7Z18VUzLC+3qRp4ZUoU/q8Vh6zlVU5tRcUZeK/0uMJhsvymHhTiMLjMVjHiZ5ljc1y+uqmXRo+yVGhDA4j2MZVK/tJT9tJ1aSVNxVpJuX4x/tA/tbftA/tQX2n3Xxo+IepeKbbSGkfSNEjhs9I8O6ZLNxJPa6JpUFrYfamUmP7ZPHPdLETEs6xsyN/oV4ceDfhx4T0MTR4G4awuU1cYoxxmPlOtjMyxUIfDTrY/F1a2I9in73sKc40XP33TUkmfxZxx4n8ceItahV4tz3EZjTwrk8Lg4wpYXA4eU/inTwmGhSo+0a932s4zq8uimk2j+hr/gkP8Asw/Aj4TfDjSP2jPE3xA+Hfif4q+PNPuBpEi+ItHeH4e6G0slvcaRbR3dxDPB4ju2iYa3O8MUkEYSyhPl+a0v+Yn01/HPibiTi3HeFWGwmY8P8McN4ii8fhsVCWGxPEWPdONajjq0FNqWV04VIyy+F5Rqu+Jkoy5IR/vr6K3hJkORcN4TxCr4nBZzn+e0an1Ovh5KtQyXBqbp1MLRk17uPqSg1jJ2jKml7COimz9s/wDhY/w8/wCh88Gf+FPof/ydX8En9gB/wsf4ef8AQ+eDP/Cn0P8A+TqAD/hY/wAPP+h88Gf+FPof/wAnUAH/AAsf4ef9D54M/wDCn0P/AOTqAD/hY/w8/wCh88Gf+FPof/ydQAf8LH+Hn/Q+eDP/AAp9D/8Ak6gDyb/hNfBv/C9f7X/4S3wz/ZP/AAqb+zf7U/t7Sv7O/tH/AITD7T9g+2/a/s3237N/pH2XzfP8j975fl/NQB6z/wALH+Hn/Q+eDP8Awp9D/wDk6gA/4WP8PP8AofPBn/hT6H/8nUAH/Cx/h5/0Pngz/wAKfQ//AJOoAP8AhY/w8/6HzwZ/4U+h/wDydQBFP8TvhtawzXNz8QvA9vb28bzTzz+LNBhhhhjUvJLNLJqCpHHGgZnkdlVFBYkAE0Afhl+35/wcq/8ABMv9heHV/D1p8Uof2mfi/p6zwxfDL4AX2meK4LfUIsYtfEvj+O5Pgvw+m44kCajqmoRgNjTXYbWAP4bv+Chf/B0x/wAFEP214de8B/DW+0L9lb4I6v51lN4L+G8Sav4w8RaS7On2Pxf4+1u2lvb2G8gKC903Q9P0TT5G3xOlzEcVlXo0sTRq4evTjVo1oSp1ac1eM4TVpRa7NP1W61SPTyXOc04dzbLc+yPHYjLM4yfG4fMcszDCT9niMHjcJVjWw+IpT1SnTqQUrNSjJXjOMouUZfQ//BLv4Zf8FQf22pdKbVvgf4J0j4VTNEk3x1+L/ia3+B+k/ZQ0cb3Gn2Oo2uo6n4xkWNvOz4b8LSxzdftSbtzfl2a+FWW4hyqZVjK2Bm9fY1l9YoX8pXjVivnO3Z293/Tvwv8A2oviHkUKGB8UeEsq42wlNRhLN8lqLh/PHGKUearR5K+V4qo0m5SjRwXNLd6uR+vHx+/4J+/HP9n7RdQ8T69qHwx8aeENNjD6h4i8A/EPQNZt7WNmWINPpV/LpOvbZJXWKJU0uV5WdFWPcWVfzfOeBs+ySlUxVenRrYSinKeJoV4csIp6OUKjp1E27KKSbcmox55PlP8ARPwc+m74GeNOZ5dw1kuY5zk3FuayjRwvDOeZNivrOKryi5VKWFxeXRx+AxFOlBTqV606tCnRoQqV6yp0YTnH4g+dh/EwjRF7kJFGEijHfaiKEjQcKo2IvAUV8fKU5tyk5TlZXlJuTtFKKu3d2SSiruySSV7I/rijQw2DpwoYejQwtLnqOnRo06dCn7SrOdeq4U6ajHnqVJVa1SyvOcp1JXblI/Ur4D/8Fdv2pPgdovhrwckHw/8AGXgLwtp9tpGl+FtS8J2GgfZNMtI1igtbPUvC0elSQFFBYyzWt00krNNMJZXd2+7ynxEz7K6dHD8uDxOEoQVOGHnh40eWEdlGdDkadurjK7d5Xbufw94qfs+vA3xPzPOeIpVeLOHOK88xdfMMdnmCz7E5r9YxuIm51a+JweePHxqpydlCnWoKFNRp03CEYcv7gfsm/wDBXn4CftBXsXhP4iRwfA3x3MY47GDxNrVtN4P12VlXemm+KJ4dPgsbnzCVisdXjtmlVSYbmVjsr9S4e8RMqzmccNi4/wBmYyTUYQrVIyoVm+lOvaCjK+ihUUW+jeh/mF9ID9n54peD2CrcScLV34lcIYeFSrjsVlOAqYfPcnowcn7XH5NGriJ18OqaUqmLwFSvGm3apRpxvI/TgfEj4dsAy+PvBbKwBVh4o0Mgg8ggi/III5BB596/QT+BWnFuMk4yi2pRas01o007NNPRprTyF/4WP8PP+h88Gf8AhT6H/wDJ1Ag/4WP8PP8AofPBn/hT6H/8nUAH/Cx/h5/0Pngz/wAKfQ//AJOoAP8AhY/w8/6HzwZ/4U+h/wDydQAf8LH+Hn/Q+eDP/Cn0P/5OoA8m+BvjXwbpHwt8L6fqvi3wzpl/b/2359jqGvaVZXkHm+ItXni862ubuKaPzIZY5o96LvikSRcoytQB6z/wsf4ef9D54M/8KfQ//k6gA/4WP8PP+h88Gf8AhT6H/wDJ1AB/wsf4ef8AQ+eDP/Cn0P8A+TqAD/hY/wAPP+h88Gf+FPof/wAnUAH/AAsf4ef9D54M/wDCn0P/AOTqAD/hY/w8/wCh88Gf+FPof/ydQAf8LH+Hn/Q+eDP/AAp9D/8Ak6gA/wCFj/Dz/ofPBn/hT6H/APJ1AHk3hDxr4Ntvil8YdQufFvhm3sNT/wCFff2bfT69pUVnqH2Lw7dQXn2G5ku1hu/skzLDc+Q8nkSsI5drnbQB6z/wsf4ef9D54M/8KfQ//k6gA/4WP8PP+h88Gf8AhT6H/wDJ1AB/wsf4ef8AQ+eDP/Cn0P8A+TqAD/hY/wAPP+h88Gf+FPof/wAnUAH/AAsf4ef9D54M/wDCn0P/AOTqAD/hY/w8/wCh88Gf+FPof/ydQAf8LH+Hn/Q+eDP/AAp9D/8Ak6gA/wCFj/Dz/ofPBn/hT6H/APJ1AHk3xY8a+DdR/wCFa/2f4t8M3/2D4s+DdSvvsWvaVdfY9Otf7S+03935F3J9nsrfzE8+6m2QRb18yRdw3AHrP/Cx/h5/0Pngz/wp9D/+TqAD/hY/w8/6HzwZ/wCFPof/AMnUAH/Cx/h5/wBD54M/8KfQ/wD5OoAP+Fj/AA8/6HzwZ/4U+h//ACdQAf8ACx/h5/0Pngz/AMKfQ/8A5OoAP+Fj/Dz/AKHzwZ/4U+h//J1AB/wsf4ef9D54M/8ACn0P/wCTqAD/AIWP8PP+h88Gf+FPof8A8nUAcl4+8feBbzwL41s7Pxr4Su7u68JeI7a1tbbxHo89xc3E+j3sUFvbwxXrSzTTSOscUUas8jsqIpYgMAHgHx94Fs/AvgqzvPGvhK0u7Xwl4ctrq1ufEejwXFtcQaPZRT29xDLerLDNDIjRyxSKrxurI6hgQoB1v/Cx/h5/0Pngz/wp9D/+TqAD/hY/w8/6HzwZ/wCFPof/AMnUAH/Cx/h5/wBD54M/8KfQ/wD5OoAP+Fj/AA8/6HzwZ/4U+h//ACdQAf8ACx/h5/0Pngz/AMKfQ/8A5OoAP+Fj/Dz/AKHzwZ/4U+h//J1AB/wsf4ef9D54M/8ACn0P/wCTqAD/AIWP8PP+h88Gf+FPof8A8nUAeTeEPGvg22+KXxh1C58W+Gbew1P/AIV9/Zt9Pr2lRWeofYvDt1BefYbmS7WG7+yTMsNz5DyeRKwjl2udtAHrP/Cx/h5/0Pngz/wp9D/+TqAD/hY/w8/6HzwZ/wCFPof/AMnUAH/Cx/h5/wBD54M/8KfQ/wD5OoAP+Fj/AA8/6HzwZ/4U+h//ACdQAf8ACx/h5/0Pngz/AMKfQ/8A5OoAP+Fj/Dz/AKHzwZ/4U+h//J1AB/wsf4ef9D54M/8ACn0P/wCTqAD/AIWP8PP+h88Gf+FPof8A8nUAeTeL/Gvg25+KXwe1C28W+Gbiw0z/AIWD/aV9Br2lS2en/bfDtrBZ/brmO7aG0+1zK0Nt57x+fKpji3ONtAHrP/Cx/h5/0Pngz/wp9D/+TqAD/hY/w8/6HzwZ/wCFPof/AMnUAH/Cx/h5/wBD54M/8KfQ/wD5OoAP+Fj/AA8/6HzwZ/4U+h//ACdQAf8ACx/h5/0Pngz/AMKfQ/8A5OoAP+Fj/Dz/AKHzwZ/4U+h//J1AB/wsf4ef9D54M/8ACn0P/wCTqAD/AIWP8PP+h88Gf+FPof8A8nUAcl4+8feBbzwL41s7Pxr4Su7u68JeI7a1tbbxHo89xc3E+j3sUFvbwxXrSzTTSOscUUas8jsqIpYgMAHgHx94Fs/AvgqzvPGvhK0u7Xwl4ctrq1ufEejwXFtcQaPZRT29xDLerLDNDIjRyxSKrxurI6hgQoB1v/Cx/h5/0Pngz/wp9D/+TqAD/hY/w8/6HzwZ/wCFPof/AMnUAH/Cx/h5/wBD54M/8KfQ/wD5OoAP+Fj/AA8/6HzwZ/4U+h//ACdQAf8ACx/h5/0Pngz/AMKfQ/8A5OoAP+Fj/Dz/AKHzwZ/4U+h//J1AB/wsf4ef9D54M/8ACn0P/wCTqAD/AIWP8PP+h88Gf+FPof8A8nUAfmP4+ube88deNbyzuIbu0uvFviO5tbq2lSe3ubefWL2WC4t5omaKaGaN1kiljZkkRldGKkFgD//Q/vF/4Vx8PP8AoQ/Bn/hMaH/8g0AH/CuPh5/0Ifgz/wAJjQ//AJBoAP8AhXHw8/6EPwZ/4TGh/wDyDQAf8K4+Hn/Qh+DP/CY0P/5BoAP+FcfDz/oQ/Bn/AITGh/8AyDQB5N/whXg3/hev9kf8Il4Z/sn/AIVN/aX9l/2DpX9nf2j/AMJh9m+3/Yvsn2b7b9m/0f7V5Xn+R+68zy/loA9Z/wCFcfDz/oQ/Bn/hMaH/APINAB/wrj4ef9CH4M/8JjQ//kGgA/4Vx8PP+hD8Gf8AhMaH/wDINAB/wrj4ef8AQh+DP/CY0P8A+QaAD/hXHw8/6EPwZ/4TGh//ACDQAf8ACuPh5/0Ifgz/AMJjQ/8A5BoAP+FcfDz/AKEPwZ/4TGh//INAB/wrj4ef9CH4M/8ACY0P/wCQaAPJvjl4K8G6R8LfFGoaV4S8M6Zf2/8AYnkX2n6DpVleQeb4i0iCXybm2tIpo/Mhlkhk2Ou+KR42yjMtAHrP/CuPh5/0Ifgz/wAJjQ//AJBoAP8AhXHw8/6EPwZ/4TGh/wDyDQAf8K4+Hn/Qh+DP/CY0P/5BoAP+FcfDz/oQ/Bn/AITGh/8AyDQAf8K4+Hn/AEIfgz/wmND/APkGgA/4Vx8PP+hD8Gf+Exof/wAg0AH/AArj4ef9CH4M/wDCY0P/AOQaAD/hXHw8/wChD8Gf+Exof/yDQAf8K4+Hn/Qh+DP/AAmND/8AkGgDyb4G+CvBur/C3wvqGq+EvDOp39x/bfn32oaDpV7eT+V4i1eCLzrm5tJZpPLhijhj3u2yKNI1wiqtAHrP/CuPh5/0Ifgz/wAJjQ//AJBoA/h2/wCD2rwz4b0D4FfsIyaF4e0PRJLn4tfF5Lh9J0mw0550Twd4WZEmazt4GlVGJKq5YKWJGCTQB7H/AMGWnhXwvr37Cn7UFxrnhvQdauIf2oVhin1bR9O1GaKL/hWXhB/KjlvLaZ0j3MW2KyruYnGSxYA/sm/4Vx8PP+hD8Gf+Exof/wAg0AH/AArj4ef9CH4M/wDCY0P/AOQaAD/hXHw8/wChD8Gf+Exof/yDQAf8K4+Hn/Qh+DP/AAmND/8AkGgA/wCFcfDz/oQ/Bn/hMaH/APINAHk3hDwV4Nufil8YdPufCXhm4sNM/wCFff2bYz6DpUtnp/23w7dT3n2G2ktGhtPtcyrNc+QkfnyqJJdzjdQB6z/wrj4ef9CH4M/8JjQ//kGgA/4Vx8PP+hD8Gf8AhMaH/wDINAB/wrj4ef8AQh+DP/CY0P8A+QaAD/hXHw8/6EPwZ/4TGh//ACDQAf8ACuPh5/0Ifgz/AMJjQ/8A5BoAP+FcfDz/AKEPwZ/4TGh//INAB/wrj4ef9CH4M/8ACY0P/wCQaAD/AIVx8PP+hD8Gf+Exof8A8g0AeTfFjwV4N07/AIVr/Z/hLwzYfb/iz4N02++xaDpVr9s066/tL7TYXfkWkf2iyuPLTz7WbfBLsXzI22jaAes/8K4+Hn/Qh+DP/CY0P/5BoAP+FcfDz/oQ/Bn/AITGh/8AyDQAf8K4+Hn/AEIfgz/wmND/APkGgA/4Vx8PP+hD8Gf+Exof/wAg0AH/AArj4ef9CH4M/wDCY0P/AOQaAD/hXHw8/wChD8Gf+Exof/yDQAf8K4+Hn/Qh+DP/AAmND/8AkGgA/wCFcfDz/oQ/Bn/hMaH/APINAHJePvAPgWz8C+Nbyz8FeErS7tfCXiO5tbq28OaPBcW1xBo97LBcW80VkssM0MiLJFLGyvG6q6MGAKgB4B8A+BbzwL4KvLzwV4Su7u68JeHLm6urnw5o89xc3E+j2Us9xcTS2TSzTTSO0kssjM8jszuxYksAdb/wrj4ef9CH4M/8JjQ//kGgA/4Vx8PP+hD8Gf8AhMaH/wDINAB/wrj4ef8AQh+DP/CY0P8A+QaAD/hXHw8/6EPwZ/4TGh//ACDQAf8ACuPh5/0Ifgz/AMJjQ/8A5BoAP+FcfDz/AKEPwZ/4TGh//INAB/wrj4ef9CH4M/8ACY0P/wCQaAD/AIVx8PP+hD8Gf+Exof8A8g0AeTeEPBXg25+KXxh0+58JeGbiw0z/AIV9/ZtjPoOlS2en/bfDt1PefYbaS0aG0+1zKs1z5CR+fKokl3ON1AHrP/CuPh5/0Ifgz/wmND/+QaAD/hXHw8/6EPwZ/wCExof/AMg0AH/CuPh5/wBCH4M/8JjQ/wD5BoAP+FcfDz/oQ/Bn/hMaH/8AINAB/wAK4+Hn/Qh+DP8AwmND/wDkGgDi/iNZfCH4Y+AvGPxD8SeC/BNroXgrw3rHiXVJpPDWhIPsukWM148SsbEDzZzEsEIz800qKMlhXucM8P4/iviLJOGsrpyq5hnuaYLK8JCMXJ+2xteFCM2ld8lNTdSpbaEJPS1zyc+znB8PZLmue4+ap4PKMBiswxEpOy9nhaM6rim/tTceSPeUkj+HfwV4c8T/ALZf7WOlaHFEsGsfGr4nyTXi2kEUFtoujajqMl7qDRRW0aQW1poWgRTLCERIo47SMcZ+b/oGzbGZH4DeDGIr0KdOnlfAHCUaOEox91YrF4XDRoYaCTd5VMwzGcXP4pOdecrN/F/jPluFzbxf8UaNGrOdTMOMeJJVcTUd39Xw1eu6teTa5uWng8DGSjd2UaUVd/Z/uf8ADHwX+FfhHw3oPhbSPAHg9NL8O6Pp2iaesvhrRZJfsmmWkVnA00rWJaWZ44VeaVyXllZ5HLMxNf8APhnWb47P84zTPMzrSr5hm+PxeZY2tJtupicZXnXrSu9bc9RqK+zFJLRH+z+V5bhMmy3L8pwFJUcFluDw2BwtKKSUKGFpRo0lp15YLmerbu2222cH4v8ABXg22+KXwe0+28JeGbew1P8A4WD/AGlYwaDpUVnqH2Lw7az2f262jtFhu/skzNNbeeknkSsZItrndXmHees/8K4+Hn/Qh+DP/CY0P/5BoAP+FcfDz/oQ/Bn/AITGh/8AyDQAf8K4+Hn/AEIfgz/wmND/APkGgA/4Vx8PP+hD8Gf+Exof/wAg0AH/AArj4ef9CH4M/wDCY0P/AOQaAD/hXHw8/wChD8Gf+Exof/yDQAf8K4+Hn/Qh+DP/AAmND/8AkGgA/wCFcfDz/oQ/Bn/hMaH/APINAHk3xy8FeDdI+FvijUNK8JeGdMv7f+xPIvtP0HSrK8g83xFpEEvk3NtaRTR+ZDLJDJsdd8UjxtlGZaAPWf8AhXHw8/6EPwZ/4TGh/wDyDQAf8K4+Hn/Qh+DP/CY0P/5BoAP+FcfDz/oQ/Bn/AITGh/8AyDQAf8K4+Hn/AEIfgz/wmND/APkGgA/4Vx8PP+hD8Gf+Exof/wAg0AH/AArj4ef9CH4M/wDCY0P/AOQaAD/hXHw8/wChD8Gf+Exof/yDQB4/8XP2P/2aPjjo7aP8R/gz4F1dRFJHa6pZ6HZ6J4g0/eu3fp+vaNFY6pbFM7lQXLQbvvxMC1fonAPix4heGOMeM4J4ozPJVOcZ4jBUqvtssxfK72xWW4hVcHWvs5Spc9tFJbnxXGHh3wXx7hvq3FXD+AzXljKNHFVKfssdhuZWvh8dS5cTSa3UVNwvutbS/IT4tf8ABA/4fatc3N98F/jNr/hBJpXeHQfHGjw+KNPtYzkrDDq+nXWk6kVQ7VDXNvdSFQS0hY1/bvB37RDiPB0qWH454Gy7OpQhGM8wyDG1MpxFWStec8HiaeNwvM1d2pVKML7RirKP8o8T/QpyPE1KlbhLizG5WpSbjgs4wsMxoU4vaEMTQqYbEWW16kKsratyep/Nt8Tfh9r/AMKfiF4z+G/ii3ltte8E+JdZ8NakssEtv5txo+oXFg11DFMqyC3uvI+0W5YcwyIcnNf6e8JcT5Xxnw1knFOS16WIy7PMuwmY4eVKtCv7NYmjCrPD1J024+2w05OjWjo41ISVtGfwNxLw/mHC2fZrw/mlGpRxuU47EYKsqlOdL2nsKsqcK9OM0peyrxiqtKXWEk7veUXgTwV4w+KfjHwt8PPBmm3viHxR4m1S00Lw9pEBkleW6vZtqog+cW9tFlri6lAEcEEcs8mFRzWuf53kfCOS5xxLnWIw2WZVlmFrZjmmNmoU0qWHp3cpv3XVrSSjSoxcuepOUKcbNxUssmyrNuJc1yzIcqo18fmOPxFPBZfhYuU71K09IxWqp043dSpJWjCCnOWzZ/ch+yD+x94J/Zs+APgf4VatpHh7xd4i0y3udU8Ua9qWiaZfNd+JNamN9q0dlLd21xMmmWc8n2OwjaVv3ECynDSlV/5+PHLxPqeL3iXxBxs8IsDhMZOhgsrwtv3tLKsuprDYF4mV3zYmrSj7au1ZRnUcElGMXL/Znwm4Bp+GvAmTcKLEPF4jCwq4rMMR9ipmONn7fF+xjd8tCFSXs6Svdwgpuzkz6Z/4Vx8PP+hD8Gf+Exof/wAg1+Rn6QH/AArj4ef9CH4M/wDCY0P/AOQaAD/hXHw8/wChD8Gf+Exof/yDQAf8K4+Hn/Qh+DP/AAmND/8AkGgA/wCFcfDz/oQ/Bn/hMaH/APINAB/wrj4ef9CH4M/8JjQ//kGgDyb/AIQrwb/wvX+yP+ES8M/2T/wqb+0v7L/sHSv7O/tH/hMPs32/7F9k+zfbfs3+j/avK8/yP3XmeX8tAHrP/CuPh5/0Ifgz/wAJjQ//AJBoAP8AhXHw8/6EPwZ/4TGh/wDyDQByfji1+Avwz8Map41+Itl8JvAnhDRLd7vWPE/i+z8I+HdB0y3jRnaW91XVorSyt12qxXzJ1LkbUBYgUAfyq/8ABQX/AIOpP+CaP7NA1vwT+yh8LfD/AO2J8UrMXFpFrOh+HtJ8LfBPSr9FISS78a3mkPqniiCOVWSWLwrpUlvLj91rCA76AP4k/wBtP/gsj/wUK/4KS+J28I674k/4RLwf4gv/ALJ4f+Af7OXhNvB+g3nnSv8AZNMuLTwzBN4u8b3hjfySNb1LUxc4JSyQHYoB94f8E/v+DVP/AIKOfthHRPGPxj0Ww/Y/+EGo/Z7x9d+LNrPP8R9V02XypvM0D4X2UiaxFJc27k21x4pufDsAcozRyIGVgD+4j9gT/g2x/wCCZX7CkGkeIZfhVB+0n8XtPWCWX4ofH+y0zxctvqEQO668NeA5bVvBfhxdxzERpmpahHtB/tNmy1AH7jQ/DL4b28MVvb/D7wRBBBGkUMMPhTQYoYYo12RxRRJYBI441AVEQBVUYAAAFAH4S/8ABcnxv4U8DfDb4XfBvwt4d8OaNq/j7Xb3xbrtxpeh6XYXf/CO+FUjtrK2+02ltDOsV5rOoLLJHu2Sf2dgg4O38m8Vsz9jgMDlUJNSxlaWIrJdaOH0gn/iqzvbT4PlL/Vj9lp4awzfjvjbxQxlFTocI5VQ4eyiUrPlzbiDnqYurFNfFRyzCSpqSd19c6X97jv+CIn7L/hXxR4S+K/xv+Ivg/QvFOnaze23w68J2PijRNO1zTHtdN8jV/Et9FZ6pb3NszveyaVZCXymKm0nQFSCW4fCzJaVTD5jmuJowqxrSWBoRqwjOnKEOWrXfLK6fv8Aso7P4XtvH7T9p/4yZnl+feH3hhw3nGMy3E5TSrca51XyzGV8FjKOMxca2W5JRdfDVKdWm4YT+0a9oyjeOJg3dO0f1R+K/wDwTQ/Yv+LltOmq/Bbw74T1KXcy638Oo/8AhCdRjkI4cxaKLfTJ8N82y60+dDjByOK+8zDgnhrMlL2uWUaFR/8AL7Br6tU/8puMH/29CXknY/hnw/8ApofSO8O6lFZZ4j5rnWApJR/sni1x4kwMoK3uKWYe0xtG605qGLpSW6d1eP8APF+2L/wSX+N/7O9zfeLfhfban8Y/hYJmljvdC0+Sfxp4cgZ/3UWv+H7ITTXccZ2oNV0eOaBiyme3tSSF/HOJPD3NMnc8RgFPMsBe/NSjfE0U3oqtGKbaV7e0p3XVqJ/r79HX6fnhl4v0MLw/xxWwXh1x06ahPDZpi4U+G85qKPvzyrNsTKFKhOa5pfUMwnTqpRkqdWuuU/Yv/gkf8Ovie37N+pH9obwJGyDxbKvw2Pj7wxZnxX/wia6daLci5OsWJ1f+zF1QTrpQvuQguBDiEKK/UPDtZzHJJRzdV1FYhrArFcyrrDqEeZPntP2aqX9nzLvaysf5l/tB6vg/W8acNW8KKmRVcRVyKFTjerwzLDTyapxDPGYh0p054FvBSx8sC6Tx8sO3eXsXUbndn6of8K4+Hn/Qh+DP/CY0P/5Br74/hAP+FcfDz/oQ/Bn/AITGh/8AyDQAf8K4+Hn/AEIfgz/wmND/APkGgA/4Vx8PP+hD8Gf+Exof/wAg0AH/AArj4ef9CH4M/wDCY0P/AOQaAPJvgb4K8G6v8LfC+oar4S8M6nf3H9t+ffahoOlXt5P5XiLV4IvOubm0lmk8uGKOGPe7bIo0jXCKq0Aes/8ACuPh5/0Ifgz/AMJjQ/8A5BoAP+FcfDz/AKEPwZ/4TGh//INAB/wrj4ef9CH4M/8ACY0P/wCQaAD/AIVx8PP+hD8Gf+Exof8A8g0AH/CuPh5/0Ifgz/wmND/+QaAD/hXHw8/6EPwZ/wCExof/AMg0AH/CuPh5/wBCH4M/8JjQ/wD5BoAP+FcfDz/oQ/Bn/hMaH/8AINAHk3hDwV4Nufil8YdPufCXhm4sNM/4V9/ZtjPoOlS2en/bfDt1PefYbaS0aG0+1zKs1z5CR+fKokl3ON1AHrP/AArj4ef9CH4M/wDCY0P/AOQaAD/hXHw8/wChD8Gf+Exof/yDQAf8K4+Hn/Qh+DP/AAmND/8AkGgA/wCFcfDz/oQ/Bn/hMaH/APINAB/wrj4ef9CH4M/8JjQ//kGgA/4Vx8PP+hD8Gf8AhMaH/wDINAB/wrj4ef8AQh+DP/CY0P8A+QaAD/hXHw8/6EPwZ/4TGh//ACDQB5N8WPBXg3Tv+Fa/2f4S8M2H2/4s+DdNvvsWg6Va/bNOuv7S+02F35FpH9osrjy08+1m3wS7F8yNto2gHrP/AArj4ef9CH4M/wDCY0P/AOQaAD/hXHw8/wChD8Gf+Exof/yDQAf8K4+Hn/Qh+DP/AAmND/8AkGgA/wCFcfDz/oQ/Bn/hMaH/APINAB/wrj4ef9CH4M/8JjQ//kGgA/4Vx8PP+hD8Gf8AhMaH/wDINAB/wrj4ef8AQh+DP/CY0P8A+QaAD/hXHw8/6EPwZ/4TGh//ACDQByXj7wD4Fs/AvjW8s/BXhK0u7Xwl4jubW6tvDmjwXFtcQaPeywXFvNFZLLDNDIiyRSxsrxuqujBgCoAeAfAPgW88C+Cry88FeEru7uvCXhy5urq58OaPPcXNxPo9lLPcXE0tk0s000jtJLLIzPI7M7sWJLAHW/8ACuPh5/0Ifgz/AMJjQ/8A5BoAP+FcfDz/AKEPwZ/4TGh//INAB/wrj4ef9CH4M/8ACY0P/wCQaAD/AIVx8PP+hD8Gf+Exof8A8g0AH/CuPh5/0Ifgz/wmND/+QaAD/hXHw8/6EPwZ/wCExof/AMg0AH/CuPh5/wBCH4M/8JjQ/wD5BoAP+FcfDz/oQ/Bn/hMaH/8AINAHk3hDwV4Nufil8YdPufCXhm4sNM/4V9/ZtjPoOlS2en/bfDt1PefYbaS0aG0+1zKs1z5CR+fKokl3ON1AHrP/AArj4ef9CH4M/wDCY0P/AOQaAD/hXHw8/wChD8Gf+Exof/yDQAf8K4+Hn/Qh+DP/AAmND/8AkGgA/wCFcfDz/oQ/Bn/hMaH/APINAB/wrj4ef9CH4M/8JjQ//kGgA/4Vx8PP+hD8Gf8AhMaH/wDINAB/wrj4ef8AQh+DP/CY0P8A+QaAD/hXHw8/6EPwZ/4TGh//ACDQB5N4v8FeDbb4pfB7T7bwl4Zt7DU/+Fg/2lYwaDpUVnqH2Lw7az2f262jtFhu/skzNNbeeknkSsZItrndQB6z/wAK4+Hn/Qh+DP8AwmND/wDkGgA/4Vx8PP8AoQ/Bn/hMaH/8g0AH/CuPh5/0Ifgz/wAJjQ//AJBoAP8AhXHw8/6EPwZ/4TGh/wDyDQAf8K4+Hn/Qh+DP/CY0P/5BoAP+FcfDz/oQ/Bn/AITGh/8AyDQAf8K4+Hn/AEIfgz/wmND/APkGgA/4Vx8PP+hD8Gf+Exof/wAg0Acl4+8A+BbPwL41vLPwV4StLu18JeI7m1urbw5o8FxbXEGj3ssFxbzRWSywzQyIskUsbK8bqrowYAqAHgHwD4FvPAvgq8vPBXhK7u7rwl4cubq6ufDmjz3FzcT6PZSz3FxNLZNLNNNI7SSyyMzyOzO7FiSwB1v/AArj4ef9CH4M/wDCY0P/AOQaAD/hXHw8/wChD8Gf+Exof/yDQAf8K4+Hn/Qh+DP/AAmND/8AkGgA/wCFcfDz/oQ/Bn/hMaH/APINAB/wrj4ef9CH4M/8JjQ//kGgA/4Vx8PP+hD8Gf8AhMaH/wDINAB/wrj4ef8AQh+DP/CY0P8A+QaAD/hXHw8/6EPwZ/4TGh//ACDQB+Y/j62t7Px141s7O3htLS18W+I7a1tbaJILe2t4NYvYoLe3hiVYoYYY0WOKKNVSNFVEUKAFAP/R/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/APdNf/UYu6APZqACgAoAKACgD+cL/gtp+2jNaJbfsjfD3VjG91DZ658Yb6ymYN9ml23OheDGliIAWZdmra1AXYNGbG1miG6QV/p39BDwNhWdXxl4kwfNGlUr5fwVQrwTXtYXpZhnihJPWD5sHgallaaxFWEm4wP4I+l54tSpRp+F+RYrldSNLGcVVqM7P2crVMHlLlF7TVsVi4X1j7GnKLvLlzf+CHX7I+rQahrf7WnjGxNrp0mnal4O+FttcwlZ717mWOHxL4oiD9LSOKFtFsJQimZ5b+SKR41G7p+nx4y4OphsB4OZJiPa4mOJwud8W1aU06dCNKEp5XlM2v8Al9Kc447EQu/ZxhhoySlJ8uH0PPDDEwrYvxOzWh7OhKhiMq4bhUjadV1JRhmGYxT2pqMXhKMre+5V3FtJs/pPr/Ls/v48Z8bf8le+CH/dSv8A1GLSgD2agAoAKACgAoAKACgAoA8Z/aD/AOSQ+Lv+4B/6k+i0AezUAFABQAUAFABQBR1LU9N0axudU1fULLStNsojPeahqV3BY2NpCv3pbm7upIoII1yMySyKozyeQK6MLhMVjsRSwmCw1fF4qvNU6GGwtGpXxFab2hSo0oyqVJPpGEZPy097HEYjD4SjUxOKr0cNh6MXOrXxFWFGjSgt51KtRxhCK6yk0kfl1+0P/wAFfv2TfggL7SfDGu3Xxo8Y2pkiXR/ABil0OG5RmRo9Q8XXIGkxiORR5g08anLjOI8ja39ZeGv0LvGHj36vjM2y+lwNklblm8bxHzQx9SlJKSlhslpRWNblH4XivqsL2vOzTP5z47+lJ4Z8H+2wuXY2pxbmtPmisJkjjLBwqJ2ca+Z1F9Viov4vYPETtdKN0j8If2hP+Cw/7WXxpN9pPhDWLL4KeEbrzIk0zwIH/wCEimtnDRmO+8XXiHUt0kZ/ef2XFpiBi21cEbf9BvDf6FPg9wKsPjM6wVfjrOaPLOWK4h5f7NhVi1JSoZNQf1VKEl7v1uWLdtZSf2f4x45+lT4mcW+2wuVYqjwjllRyhHD5NzfX505Xjy1szqxde8ov3vq8cOr7Jacvg/7PH7B37VP7YGtz614b8MapFol3qcg8QfE74g3N5YaOLxzFPeSyX1+smq67qPlzpcPDYw3k0m9TLJHvDV974i/SI8HPBrAvL8dnOArZhhKTp4PhPhenhsVjYcifJRlh8I44PLaSkuVvFTw6hulJpxj8fwR4J+J3ihi/rmFyzGUsHiKnPieIs/lXw+FnzO86ka2ITxOOqWfMlQhV5us4mN8cP2bv2m/2CPijZXurx+IPCd9pWpNP4J+K3g6e+h0LWVicNBcaXrdvsW3uJY9v2vRdQZblP3tvcQXESs9enwD4oeFX0h+E69DBTy3OMPjMKqefcIZ1ToVMwwLnFqpSxeBqXdSnGV/Y47DKVKVoVKdWnNpR4OMOAPEPwU4jo1sVHHZZWw2I58o4lyqdaOCxai7wqYfFwsqc5K3tcJXcZr3oTjOKbP22/YE/4LHWHje5034UftY6hpfh/wASzm3sPDXxXjgTTtC1uYhYYbHxhCh+z6Tqc7bVi1mHytNupTi7itZHWRv4O+kV9CXEZDSxXGHg9h8XmOV01VxGacHym8Tj8BT1nPEZLUlarjMLTV3PBVPaYqlDWi60IuEf698EvpV0c4qYbhnxMrYfBZhP2dDL+JYwVHB4yfwxpZrBctPC4ibty4uHJQnKyqQhKXOf0DW9xb3cEF1aTw3VrcxRz21zbypNBcQTIJIpoJoy0csUsbK8ciMyOjBlJBBr/OOrSqUalSjWpzpVaU5U6tKrCVOpTqQk4zp1ISSlCcJJxlGSUoyTTSaaP7fp1IVYQq0pwqU6kYzp1KclOE4TSlGcJxbjKMotOMotpppptO5NUFhQAUAFABQB4z/zcL/3Rn/3d6AMT9or9qz9nD9knwNefEj9pP40fD74NeDrOKSX+1fHHiKx0mS+MfWDR9MeRtV1y8Yjallo9le3TvhViyaAP42v+Cgf/B5v8MPCQ1vwH/wTv+Dl58TdbQXNlD8bvjNbXfh3wTbTbZIhf+G/h/azweJNeWGZRLbza/faBbXEZRnsZULJQB/Hh8av2uP+Cof/AAWJ+L1n4a8ZeL/jh+094w1jUAfDnwg+H+l6tP4M0H7VPmGPRvh54UtovDejWUEvC6pqNr5kIBa51M/O9AH9BP8AwT6/4M3/ANpv4u/2H47/AG8viVpv7Nvgm4Fvey/CzwQ1h40+MV/bOscwtNV1EGbwb4NkcB4LlTP4j1C2LA/Y0kVgoB/b7+wx/wAEhP8Agn9/wTu0mzh/Zt/Z/wDC2leMYII4r34s+L4I/GnxX1WVM5uJ/GetxT3unFyz/wCi6BHo1iisY1tQh+YA/S+gAoAKAP5b/wDgtl8Jfjj4m/aJ8H+MNP8ABPibxH8OG+H+i+HvDOraDpF/q9lZawuq6lLrOn6i9jBMun3k95e2skIujEtxDJAY2YghfwrxMyzN8VneGrUcJiMRhJYSlRw8qFOdVKqp1HVhLkjLkk5Si0nvFp6293/cT9mz4keFHDHgxxLk2bcWcP8AD3FNDivMs5z/AA+eZng8rq1stlgsFSy3GYZ4ytQ+tYanQw9alN0XUdOtGpFwXNFy/cz9gb4K6p8AP2TfhD8OfEWmtpHiq10ObXPFunOUM1p4i8SX1zrN/a3BTK/aLMXcNnOvVJLdozgqRX6lwlllTKOH8uwVaHs8RGk6uIg941q83VnF6vWPMovXdW0sf5ifSu8SsD4sePniFxjlGNWYZDXzSnleQYuPMqdfJ8mwtHLcLWo81n7HEPD1MTSe0oVlJXTTPsSvoz+dgoAKACgAoAKACgAoA8Z/Z8/5JD4R/wC4/wD+pPrVAHs1ABQAUAFABQAUAFABQB4z4J/5K98b/wDumv8A6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/AJpV/wBlm8Df+5SgD2agAoAKACgAoAKACgAoA4z4j/8AJPPHn/YmeKP/AEx31AB8OP8AknngP/sTPC//AKY7GgDs6ACgAoAKACgAoAKACgDxnwT/AMle+N//AHTX/wBRi7oA9moAKACgAoAKACgAoAKAPGfG3/JXvgh/3Ur/ANRi0oA9moAKACgAoAKACgAoAKAOM+I//JPPHn/YmeKP/THfUAHw4/5J54D/AOxM8L/+mOxoA7OgAoAKACgAoAKACgAoA/Jr4j/8lD8ef9jn4o/9Pl9QB//S/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/APdNf/UYu6APZqACgAoAKAPDP2lPjn4d/Zv+CXj/AOMfiVke08IaJNcafYNIqSaxr11i00LRoNzIXl1DU5reFgh3rB50o4jNff8AhdwBmfifx5w5wTlSkq2c4+FPE4hRco4LLqP77MMdUte0MNhYVKibVnPkg78yPjuP+McBwDwhnfFWYNOlleEnUoUW0pYrG1P3eDwkL7yr4iUIPlu1Dmktm4/xN/B34f8AxE/bt/ay07RNQubvUfEnxX8bXniXxzraiSUaPoD3Z1HxHqjsSxitNL0wNaWIYkI32K2XOVVv93ONuI+Gvo++D2Kx+GpUcNlnB+Q0cryDAPlg8bmMaP1bLMJGOinWxeKtWxDWrXt6rbs2f5EcK5Hn3jN4m0MJXqVcRj+Jc3q5hnOMXNJYXBOr7fH4hvXkp4fDp0qCb0ao01e6P7q/Angnw18NvBvhnwD4P0yDR/C/hHRbDQdD022RUitrDT4EghXChQ0sm0zTykbpp5JJny7sW/5/OIM+zTijPM14izrFVMbm2c47EZhj8VVk5Tq4jE1HUm9W7RjdQpwTtCnGEI2jE/2WybKMBkGVZfkuV4eGFy7K8JRwWDoU0lGnQoQUIrTeTtzTk7uU3KTbbbOsrxz0jxnxt/yV74If91K/9Ri0oA9moAKACgAoAKACgAoAKAPGf2g/+SQ+Lv8AuAf+pPotAHs1ABQAUAFABQAUAfln/wAFaf2f/jv+0L+zxovhz4Fpeaxe6H4yg1vxX4JsNQjsLzxdoo067tLeGD7RNb218+l300V5/Z80y+cGMkau8OK/rf6HPiN4feG3iVj8z4/lRwNDH5HUwGUZ7iMNPE0cnxzxNGtUlUdOnVq4dYvD05UPrNOm+RpQm4xqNy/nH6TfBHGnHPAuEwHBqq4qtg81hjMyyihXjQq5nhFQq04RhzyhTrPD1pxq+wnL373Sk4WPxl/Z9/4Ii/tHfEc2er/GPVtG+CfhyRkkm065MXiTxvNBuxIkek6ddLpmnSkfdbUNTDr1a1bO2v7g8R/p5eGPDCr4LgnCY7jvNIKUYYmkp5XkMKlk4yljcTT+tYqCb95YbCJPZVVZM/k7gf6IHHufuliuLMVhOEMBJxlLDzccwzicL+8lhqFVYehJrZ18Tdbuk7Wl+7X7O3/BMD9kr9ndbHUdN8BQfEHxlaCNz4y+I6W/iO+S5QYM+m6VLEmh6TuYBlFrp7TIR/x8nk1/n34l/Sv8Y/Et4jDYriGpw5klZyisk4YdTLMPKlJ6U8VjITlmGMstG6tf2cv+fUVpH+zOBPo7eGPAio18PksM7zalyyebZ8oY+sqiWs8PhpQWEwyb1Sp0ZTjZfvHrM+o/gtFHBH8UYYY0hhi+MfjaOKKJFjjjjQaWqRxogCoiKAqqoCqBgAAYr+bpznUnKpUnKc5ycpznJynOTd5SlKV3KTbu23dvXW5+5RjGEYwhFRjFKMYxSjGMUrJRirJJLRJKyW1rHc+PPh/4K+KHhbVvBPxB8M6P4t8La3bSWmpaLrdlDe2c8UqNGWVJUZobiMMTBdQNFcQP88MqOA6+xw9xHnvCeb4PPeHM1xuTZvgKsK2Fx2ArzoVqcoSUrNwaVSnJpKpSqKdKpH3ZwnG6j5edZJlPEWW4nKM8y/C5nluLpypYjCYujCtSnGUXG6UtYTSbcKkHGcH70JJpOP8ALh+2d/wRj+KngDxLN4o/Zb0y/wDid8P9YvXKeDDd2ieMvB7zuWS28y9uLeDXdGQEpDfRul9bqireQSblnr/WfwO+nFwjxFlUMp8WsXh+FOI8DQjfPPZVpZJnUaaUXV5aFKtUy/HS0lPDyjKhUbbozjZwP85fFn6JvEmSZhPMvDjD1uIckxdZtZT7SlHNcqc3dU1KtUhDG4VXtCspQrU1G1WE9Jn7z/8ABPT4S/Fr4I/spfDj4efGq/kuvG+lLq9zJYTX41OXw5o+o6lNd6P4alvVeWKWTSrSRUdIJZYbdpDbRuRDhf8APX6SfGPB3HnjBxPxLwLQjTyHFvBUo4mGG+qQzPG4bC06ONzSFBxhOMcZWi5RlUhCpVUfayinP3v7T8DeGOJuEPDTIMi4trSqZxhliqkqMq/1mWAwtfETq4XASrJyjOWGpSSajKUYOXs4u0bH2xX4QfrgUAFABQB+fP7bH/BU39hD/gnvoFzq37UX7QfgzwXraW0txp3w50u8XxR8UdeaNN4g0jwHoZvNdZ5QR5dzqEGn6d3kvY1BNAH8MP8AwUG/4PAfjP8AELx1rqf8E+fhlB8FNDm8JS+BYfiv8VLXTfFXxEu7A6xc6jLq+geFYpJ/C3hi4nLwGzfU5fEd3a7PMaOKYgIAfzu+APgr/wAFQf8Agsb8aLjVdA0P4/ftd/EXU77GseOvEt7q2qeFfDK3M0azPqfizXJrXwb4O0yDcJHsbe5sIo40P2aydgEYA/rr/wCCfX/BmFoOnLofjz/go38aJddvB9nvbj4D/Au8kstIibG59N8U/FC9tVv77Y4CzReE9Lso3RmWLWW4dgD+z39l/wDYv/ZX/Yv8E2/w+/Zf+Bnw9+DfhyGFIroeEtBtrbWdZZAm658Q+JJxP4g8QXcroJZJ9X1K8cylmTbkigD6eoAKACgAoAKAPGf2g/8AkkPi7/uAf+pPotAHs1ABQAUAFABQAUAFABQAUAeM/s+f8kh8I/8Acf8A/Un1qgD2agAoAKACgAoAKACgAoA8Z8E/8le+N/8A3TX/ANRi7oA9moAKACgAoAKACgAoAKAPGfjJ/wA0q/7LN4G/9ylAHs1ABQAUAFABQAUAFABQBxnxH/5J548/7EzxR/6Y76gA+HH/ACTzwH/2Jnhf/wBMdjQB2dABQAUAFABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z42/5K98EP8AupX/AKjFpQB7NQAUAFABQAUAFABQAUAcZ8R/+SeePP8AsTPFH/pjvqAD4cf8k88B/wDYmeF//THY0AdnQAUAFABQAUAFABQAUAfk18R/+Sh+PP8Asc/FH/p8vqAP/9P+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoAKACgAoAKACgAoAKAPGfBP/JXvjf8A901/9Ri7oA9moAKACgAoA/lT/wCC2X7X0fxD+IWmfsyeCdTM3hT4Y3g1Tx/PazE22rePJYSttpLlCFmi8L2UzrMjhkXVLyUKxe2Ff67/AEEfBeXDXDeK8Vc+wnJnHFVF4ThynWharg+HozvVxkeZNwnm1eEXBxabwlCF01Vuf5sfS78Uo57nmH8PcoxHPlvD1X6zndSlO9PE5zKFqeGdtJRy6lJqSd0sRVlbWneP3B/wRL/ZSl+Gfwl1j9ofxdpvkeLPi/HHZ+Eo7qHbc6Z8PtPnLx3SbxmNvEuoobwMgRn0+0st25X+b8E+nf4vw4q4xwXhrk2K9pk/BcpV85nSqXpYriTE07TovlspLKsLJUGpKSjia9e1nA/YfoieGkuHuGMVx1mmH5Mz4pjGllkakbVMPkdCd41Emm4vMK69qmmm6NKle6mj9zK/gM/sYKAPGfG3/JXvgh/3Ur/1GLSgD2agAoAKACgAoAKACgAoA8Z/aD/5JD4u/wC4B/6k+i0AezUAFABQAUAFABQAUAFABQB4z8G/+aq/9lm8c/8AuLoA9moAKACgAoAa7pGjySOscaKzu7sFREUEs7sxCqqgEsxIAAJJGM0AfiF+39/wcI/8E0/+CfkWsaB4z+Mln8Yvi/p0cyRfBr4HTWPjjxPHfpGWitPEWs2t2vhXwisjqYpW1nWFvIGVv+Je7qI3AP4b/wDgoN/wdn/8FA/2rDrngr9nA6f+xv8ACS/NxaJ/wgt0Na+MGr6bI0ka/wBrfEe9gjOiy3FtIY7m38IaZpDJnC6jLtDsAfnD+xr/AMEcP+CoX/BUrxUfHHgP4VeOtT8OeJL/AO0+IP2ifjvqer+HvB1y0rJJcag3i3xULnWvGNz5TtKkfh6z1uaYr5ZkTK0Af2Rf8E+/+DSL9kP4BfFPQm/bR8VXf7WnjKz8AReNZ/CFpFf+DPg3Ya2viNNKFlJpdvcr4k8YafFAHLDWr/T7S6kYNLpKooRgD+wz4Z/Cr4Z/BjwhpXgD4R+APB/w08EaJbx22leFfA/h7S/DOhWMMMaRIIdO0m1tLbzCiKJJ3Rp5SN8sjuSzAHf0AFABQAUAFABQAUAeM/tB/wDJIfF3/cA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/wC4/wD+pPrVAHs1ABQAUAFABQAUAFABQB4z4J/5K98b/wDumv8A6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/AJpV/wBlm8Df+5SgD2agAoAKACgAoAKACgAoA4z4j/8AJPPHn/YmeKP/AEx31AB8OP8AknngP/sTPC//AKY7GgDs6ACgAoAKACgAoAKACgDxnwT/AMle+N//AHTX/wBRi7oA9moAKACgAoAKACgAoAKAPGfG3/JXvgh/3Ur/ANRi0oA9moAKACgAoAKACgAoAKAOM+I//JPPHn/YmeKP/THfUAHw4/5J54D/AOxM8L/+mOxoA7OgAoAKACgAoAKACgAoA/Jr4j/8lD8ef9jn4o/9Pl9QB//U/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/APdNf/UYu6APZqACgAoA/NT/AIKQft6eH/2PvhnPo/h27tNS+OHjjT7q18EaHvSb+wLeRWgm8Y61CGLJZ6ezH+zbd9h1HUFRAwghmNf1J9GH6POZeNXFVPG5nRrYXgLIcTSq59j+WUP7RqRaqQyTA1LJSr4lL/aqsW1hsPdtKpODP5+8fPGnA+FnD08LgKlLEcYZxQqU8owd4y+pU5JwnmuLhe6pUW/3FN8rrVkldwjLl/mQ/YW/Zc8X/ttftIWNlrg1PUPB9lrP/Ca/GHxbOHkzp0l699dWU124Kvq3im932MEf+s2z3NyNqQM6/wCqv0gPFnJfAjwwxFfL3hcNndfA/wBh8FZPTtH/AGmNBYelXhRTUo4PKaFq9SVrXp0qWrnY/wA8/Brw4zTxe4+o0sasRXyqji3m3FWZz5nehKq61SjKrqnisxq3owjeLtOpUulBn9xOkaTpug6Vpuh6NZQadpGj2FppmmafaxiK2srCxgjtrS1gjGAkUEESRRqOiqOvJr/A/G4zFZjjMVj8dXqYrGY3EVsVi8TWk51a+IxFSVWtWqSesp1KkpTk+rbP9hsLhsPgsNh8HhKMMPhcLRpYfD0KceWnRoUYKnSpwirWjCEVFLol13NGuY3CgDxnxt/yV74If91K/wDUYtKAPZqACgAoAKACgAoAKACgDxn9oP8A5JD4u/7gH/qT6LQB7NQAUAFABQAUAFABQAUAFAHjPwb/AOaq/wDZZvHP/uLoA9moAKAMXxF4k8PeEdF1HxJ4s17RvDHh3SLaS81XXvEOqWWjaNplpEMyXWoanqM9tZWdvGOXmuJ4o1HJbnFAH8xH/BQb/g6//wCCeX7JA1zwX8Aru/8A2xvi9p/2mzWy+G92mm/CnSNTi82LbrfxMvYZLXUUtrqPZc2/hGw11nVSFu4MrJQB/Dv+3l/wcJ/8FO/+Ci+o33gi++Jup/CD4XeIbtrDTfgb+z0mreGrLVIbqXba6Xrmt2E8vjbxtcuW8nybzUVtLreY10tQQlAHqn7AP/BsZ/wUu/bkk0fxl4x8Ep+y18H9YaG+l+Ifx1t7/TfEuq2F1++N74b+G0YPi3VpJ1LmO41ePQrF5SGa9KsWoA/uU/4J8/8ABsT/AME2P2Hf7E8XeLfBEv7Vfxo0w293/wALA+OFnY6p4d0zU4WEguPC3wziR/CmmCGQssE+rRa/qAj2k3vmDNAH9E1hYWGlWVrpul2VppunWMEdrZWFhbQ2dlZ20KhIbe1tbdI4LeCJAEjhijSNFAVVAACgHkn/ADcL/wB0Z/8Ad3oA9moAKACgAoAKACgAoAKAPGf2g/8AkkPi7/uAf+pPotAHs1ABQBj6T4h0DXvtf9ha5o+tfYJ/s19/ZOp2Wo/YrkZ/0e7+xzTfZpxtb91Nsf5TwcNXbjMtzHLvY/2hgMbgfrEPa4f65ha+G9vT0/eUfb04e0hqvehzR1XvO6OXDY7BY32v1PGYXF+xn7Ot9WxFGv7Gp/z7q+ynP2c9H7s+WWm2jNiuI6goAKACgAoAKAPGf2fP+SQ+Ef8AuP8A/qT61QB7NQAUAFABQAUAFABQAUAeM+Cf+SvfG/8A7pr/AOoxd0AezUAFABQAUAFABQAUAFAHjPxk/wCaVf8AZZvA3/uUoA9moAKACgAoAKACgAoAKAOM+I//ACTzx5/2Jnij/wBMd9QAfDj/AJJ54D/7Ezwv/wCmOxoA7OgAoAKACgAoAKACgAoA8Z8E/wDJXvjf/wB01/8AUYu6APZqACgAoAKACgAoAKACgDxnxt/yV74If91K/wDUYtKAPZqACgAoAKACgAoAKACgDjPiP/yTzx5/2Jnij/0x31AB8OP+SeeA/wDsTPC//pjsaAOzoAKACgAoAKACgAoAKAPya+I//JQ/Hn/Y5+KP/T5fUAf/1f7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df8AuUoA9moAKACgAoAKACgAoAKAOM+I/wDyTzx5/wBiZ4o/9Md9QAfDj/knngP/ALEzwv8A+mOxoA7OgAoAKACgAoAKACgAoA8Z8E/8le+N/wD3TX/1GLugD2agAoA+LP23/wBtHwH+xp8K7rxVrUlprPj7W4biz+HngUXKx3mvatsKi9vETdNa+H9McrLqV95fz4FpbE3MoK/ungL4GcQ+N/FtLKMDGtgeHcBOnX4l4gdJyoZfg3JN0KEmvZ1syxUU4YXD301rVLU4Pm/JPGDxayXwn4bqZljJU8XnWMjOlkeTKoo1cbibWVaqlzTp4HDv3q9blV7eypt1JJR/j78OeHv2g/8AgoZ+0lLGst54w+I/xA1Q3msavcrINF8K6DFJiS5n2/udI8N6BaMIrS0jKLhUgi8y5mZ3/wBp8zzLw3+jZ4Xxk4UMl4Y4cwnsMFg6fI8dm+Yyh7lKndqeMzTMay5q1aXNq3Uny0qcUf5ZYHA8c+OnH8oqVbNc+zvE+1xWKqKSwmWYKMveqTteGFwGCpPlp042VlGEU6k2z+zr9kv9lj4ffsj/AAj0j4ZeB7dLi82xX/jDxTLCiap4u8RvEFutUv5ANwhjJaDTbPd5NjZqsUSKzSu/+HXjH4ucR+MvGWN4qz+pKlQvPD5LlMKkpYTJsrjO9HCYeLdnUkrVMVXsp4iu3ObaUFH/AFl8MfDfI/DDhjC8PZPTjOraNbNMylBRxOaY9x/e4mtK7ahF3hh6N+SjSSjFJuTPp2vyk/QwoAKAPGfG3/JXvgh/3Ur/ANRi0oA9moAKACgAoAKACgAoAKAPGf2g/wDkkPi7/uAf+pPotAHs1ABQAUAFABQAUAFABQAUAeM/Bv8A5qr/ANlm8c/+4ugCX43/ALQfwP8A2a/A2pfEv4/fFfwH8IfAmkwTT3viXx74k03w9p+2Bd8kVp9unjn1K82keXY6bBeXsxIWK2diBQB/LX+0V/wdS/Dzxz431H4I/wDBMf4O6h+0F4stnkt9a+PnxQt9U8HfA7wbaiSS3l1u20eIQ+L/ABcsZAm0y3lPhuDVJVWKF54neSvFz3PsBw/gpYzHVEnZqhh4te2xFS2kKcX/AOTTfuwWra0Uv2XwQ8C+O/HvjDDcJ8FZfKUYyp1c6zzEwmso4fy9ztUxuYV1Fq9rrDYSD+sYuranSirznD+Xn/gq1q//AAU+/bUn8L6h4s/aJ+Lf7Sw8VeKLPw5Z/s6/DnwvfeHvCljqurxyva/8Il8MvA8lza6tYxPbOk9xrlvqepWkOLu61IxJKy/KcJ8eriPMKuX1sCsJV9lOvh506jqRlCm1zQqcyTU0pJqSdnZqyuj+pvpV/QWl9HjgLKuP8n43qcVZc8zwWS59hcfltLLcRhcbmFOrLDYnL3RxOIjXwkquHnSnSqqNampQqc0kpKP0X/wT5/4M/P2zP2gP7E8cftoeLdO/ZJ+HF35F5L4Lt47Pxj8b9SsnG5oH0a3nfw14OuGACk67qV9fQbsyaMWGxv0U/wA9D+4r9gv/AIIk/wDBOn/gnZZafefAv4D6HrHxJtYI0u/jR8T47fx58T7u4ARpZ7LWtWtjaeGkeZWkjtvC+n6TFCH8vMoUFQD9ZqACgAoA8Z/5uF/7oz/7u9AHs1ABQAUAFABQAUAfgV4t/wCC5fhXwd+0N4i+Hmo/CC9m+EnhjxTqfhLUfGVrrEjeMDNpF/Npd9rcHh17JbGSxS7t5pU077cLyS1X5ZzMyx1/onk30A82zvw1yziXC8a0IcZZrlGEznDZJVwMVkvJjcPDF0MBPMlWeIjiHRqQhLE/V/YRrPWmqacz+KM0+mNluVcdY/IsRwtWnwxl2ZYjLMRm1PFt5pz4WtLD1sXDAOiqMqMakJSVD23tpU1pJzagftp8Lvip4A+M/gnRfiJ8M/E2neLPCOv24nsNV02YOquMCazvIWxPY6haOfKu7K6jiuIJBh49rK7/AMIcW8I8R8DZ9juGuKsqxWT5zl1T2eIwmJg4txf8OvQqa06+GrRXPRr0pSp1Iu6d04x/rvhziTJOLcowme8PZhh8zyzGwU6OJw8k0n9ulVh8dGvTfu1KNRRnCWjTupS5r9oP/kkPi7/uAf8AqT6LXzZ7h6lreuaN4a0jUdf8Q6pYaJomkWst9qmrapdw2On2FnAu6W5u7u4eOGCJB1eRgM8DJIDdeAwGOzTG4bLstwmIx+PxlaGHwmDwlGdfE4itUdoUqNGmnOpOT6RW2uiTObGYzCZfha+Nx2Jo4PB4WnKtiMTiakKNChSgryqVatRxhCKXWT8le9pfzDf8FFf+Cu1/49Gt/BX9lrWLrSfBTifTPFXxVtGltNW8UxENFdad4Sbak+maFMC0UurZS/1GHP2YW1vKHf8A1b+jP9DPDcPfUOOvFrBUcZnq9nisn4RrKFbB5TPSdLE5yvfp4vHwdpQwdpYfDTS9r7WpFo/zv8ePpQ185+ucI+HGKqYbKXz4fM+JKXNTxOYx1jUoZW9J4fBzV4yxV1Wrxv7NQhLmjrf8EOfgf8d7X4k+JvjteprWgfBXVPCmq6DI2qS3EFt8QPEF1eWctjc6bZTEG/i0V4Li4m1kx+SJJfs0U8jyslcf0+ePvD6twvlXh/Qngcx46wmcYTMYxwkKVSrw7l1KjXhiKWKxENMNPHKpTpQwKftHGHtZ0oRhGUur6HfB/GdLP8x4zrLF4LhLE5bicE3iZVIU87x1SrRlRqYejNt144RwnOeLty80vZxnJykj+nev8pT/AEPCgAoAKACgAoA8Z/Z8/wCSQ+Ef+4//AOpPrVAHs1ABQAUAFABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df8AuUoA9moAKACgAoAKACgAoAKAOM+I/wDyTzx5/wBiZ4o/9Md9QAfDj/knngP/ALEzwv8A+mOxoA7OgAoAKACgAoAKACgAoA8Z8E/8le+N/wD3TX/1GLugD2agAoAKACgAoAKACgAoA8Z8bf8AJXvgh/3Ur/1GLSgD2agAoAKACgAoAKACgAoA4z4j/wDJPPHn/YmeKP8A0x31AB8OP+SeeA/+xM8L/wDpjsaAOzoAKACgAoAKACgAoAKAPya+I/8AyUPx5/2Ofij/ANPl9QB//9b+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoAKACgAoAKACgAoAKAPGfBP/JXvjf8A901/9Ri7oA9moA+Ff23f28fhb+xl4KkutauLbxL8T9ZtJj4K+HNndKNQ1CfaVj1TWmj3yaT4etZCGuLyVVlusfZbFJJpN8X9AeA/0e+LfHDPY0sDSq5Xwpga0P7d4mrUn9Ww1O6csJgVJKOMzKrG6pUYScKX8XEOMI2l+NeL/jRw54T5RKri6lPH8RYulP8AsjIaVRe3rzs1HEYvl5nhsDTlrUqyUZVLezoqc5Pl/kR1nWf2j/8AgoZ+0PHJJHqXj34k+NL1baw0+1SSLQvCuhRy8RRJ89roXhnRIHMlxO5UBVZ5DPdSqsv+zeBwPhj9Gzw1lGMsLw7wvkVB1cRiasozx+b5hKGs5y0q5hmuPqR5adOMW7vlhGFGEpx/y8xeL4+8deO4ylHEZ1n+b1vZ0aFJSjgsswalflitaeCy/B025Tm+kW251JRjL+vf9hb9iXwN+xh8L4/D2mfZdd+I3iKK3vPiH45NuEuNX1BV3JpWml901n4d0tmaOxtAwM8ga+u99xIoi/xg+kB48Z/448WTzLFe2y/hjLJ1KPDWQe1cqWDw7dnjMUlaFbM8WrSr1tVTi1h6PLTi3P8A1H8G/CHJ/Cbh2OAw/s8ZnuOjCrnmcclqmKrpXWGoc3v08Dh3pRp3vN3rVLzklH7hr8DP2EKACgAoA8Z8bf8AJXvgh/3Ur/1GLSgD2agAoAKACgAoAKACgAoA8Z/aD/5JD4u/7gH/AKk+i0AezUAFABQAUAFABQAUAFAHxL+2L/wUZ/Ys/YI8KzeKf2qPj/4E+GJ+zS3GmeFLrU01Xx/4haOIypb+HvAukfbfEupyzgbYZI9PSzLH97dRKGdQD+GX9sr/AIPD/iFaj4l+A/8Agnn8I7Hwhpvibx94q8QWXx0+M9lDrHicWGrTwR2s3h34bW80uiaVPJa24lE/iTUNYlgldf8AiWI6EUAfzVxal+3L/wAFXfjDJ40+O3xe+JvxTggvwfEfxG8f6tqV/wCFfCcDFXk0vw1peYPD1hqLW0gFnoHh+ztNsGya4hitlLt85xJxLgOG8G6+JkqmIqKSwuEi/wB5Xmur6wpRfx1HypbLmekf6H+jp9G/jf6RXF0Mk4eozwHD2AqUqnE/FeJozeX5NhJNN04Oyjiszrwv9UwMJ88v4tXkoxcpf0X/ALIX7H0Wi/8ACJ/AH9nnwTd634h1y5hiY28Cy6truokIt5r/AIh1AKFhtoFJlnuLiRLLTrUeVHtwol/nTF4vOuMM3i5KpisXiJ8lDD07+xw9O/wwWkadOCd5zkrvWUm3yn/Qxwrwl4PfRJ8J68KNXBcM8K5Dhvrme59j3TeZ57mKp2licXVSVXH5ji5p0sHgqKkoKSoYenCEZzP7dP2Af+Cd/gX9jrw3H4k1kWXiz45a/pog8R+LzCr22gWtyI5Ljw14T8wM9rYh0VNQ1EeXdas8YD7bRUib964R4PwvDdD2s2sRmlemo4jEbxpxdm6FC9rQTS5p25qjXSKsf4U/S0+lzxJ9IzPFlWAhWyPw0yTGzrZDkLlbE5jiIKpShnWdSjpUxc6U5rDYSLdHBU6jS56zlUP0lr7Q/jYKACgAoAKAPGf+bhf+6M/+7vQB7NQAUAFABQAUAFAH4Pf8FFv+CSei/FgeKfjj+zjZro3xSuJLrXfFPw+RwmieO7h91xqF5oYd9ukeJrht04tUK6dqtw0kYjtrmWN2/wBCPoz/AEyMdwe8p4B8Tqzx3CVONHL8p4kknLH8P0opU8NRx7V3jMqprlpuq08Tg6ajJyrUoyjH+MPHj6MeE4mWZcY8B0lhOI5urjcxyRNLCZzUd51qmDTssNmFR3n7NfucTNte5UlE/D/9kP8AbS+Nf7CXxI1C2tLXULvwrNqf2H4jfCfxEbmxguJrSXybie2gnUyaH4msVDrBepABKB9mvYprdlKf3t4z+BnAn0guF8NVr1cPRzeGEeI4Y4wy32NepShWhz0qdWpT93MMqrtxlUoOfu/xKDhUi+b+PfC7xb4v8GM/r06VKvVy2WJ9jn3DOP8AaUYTnSlyVJ04TjzYPMKKuoVlFKX8OrCcGnD+knx7/wAFIP2V/iV+yR4x+Kej+PLaze1bw1Y6j4D1LZbeOrPxBPrNlfRaHHohcyXzzQ6bqEttqNp5mnTW1rLcG4iw0a/5LZh9E3xmwHiDhPD7/VyeJr5hKrWwXEFCTlw7VyyhUpQr5lUzDl5cPToKtS9vhq3Li4VKkaUaU205f6OYL6RnhfjODMTxn/bcaFHBqnTxWTVko53Tx9WFSVLAQwfM5Vp1nSqeyr074eUISqOcUmj+eP8AbT/4KJ/Gv9tHxE3hqz/tHwf8KP7QWHw38L9AnuJ5tYlaURWN14nltF83xFrMxYeVZqn2C2mlMdnbO4SVv9UPAz6NHAngblqzSv8AVs64v+rOpmfFmY06dOGCioc1ellMKzcMtwUEnz1nL6xVhHnrVYJumf57+Lfjvxd4tY95fR+sZXw17dQy/h3A1Kk54uTly0amYypRjLHYqba5aSi6MJy5aUG7Tl98/sA/8Ec9Y8SzaF8Xv2r9Om0bw0rW+qeH/hBLui1jXUGJba48asrhtJ0yQ7ZP7EjLX95EAl61rFK0Vfzt9Iv6bOCyqGYcGeD+Jhjs0aqYTMeNIWngsvk7wq0sii1bF4uGsVj5Xw9Cd3QVacVOP7Z4I/RUxWPnguKfEuhLCZenTxOB4WlpisatJU6mbyTTw2HlpL6ml7arHSrKnCXLL+mrSNH0rw/pdhomh6dZaRo+lWsNjpumadbQ2djY2dugjgtrW1gVIYIYkUKkcaqoA/Fv8rMbjcXmOLxGPx+Jr43G4utOvisXias6+IxFapJyqVa1Wo5TqTnJtuUm2/kf6FYXC4bA4ahg8HQpYXC4alCjh8PQpxpUaNKmlGFOnTglGEIpWSSt66mjXMbhQAUAFABQAUAeM/s+f8kh8I/9x/8A9SfWqAPZqACgAoAKACgAoAKACgDxnwT/AMle+N//AHTX/wBRi7oA9moAKACgAoAKACgAoAKAPGfjJ/zSr/ss3gb/ANylAHs1ABQAUAFABQAUAFABQBxnxH/5J548/wCxM8Uf+mO+oAPhx/yTzwH/ANiZ4X/9MdjQB2dABQAUAFABQAUAFABQB4z4J/5K98b/APumv/qMXdAHs1ABQAUAFABQAUAFABQB4z42/wCSvfBD/upX/qMWlAHs1ABQAUAFABQAUAFABQBxnxH/AOSeePP+xM8Uf+mO+oAPhx/yTzwH/wBiZ4X/APTHY0AdnQAUAFABQAUAFABQAUAfk18R/wDkofjz/sc/FH/p8vqAP//X/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgDxXwfNDb/Fn46XFxLHBBBH8OJZppnWKKGKPwtePJLLI5VI440Bd3dlVVUliACaqEJ1Zwp04SqVKkowhCEXOc5ydowhGN5SlJtKMUrtuyvcmc404ynOUYQhFynOclGMYxV5SlJ2UYpatt2SV3azPyx/bu/wCCv/gL4KQ6n8N/2dbvRviR8U9s9nf+KopE1DwP4KmG+JiJ4WaHxJrcEgJWytpP7OtmTN3cTFhb1/eH0ffoW8RcdTwnFHiZSx3C/CV6dbDZPOEsNn+e03yzV6dRKplmBqRtevVisTUUrUaUUvaH8h+M30pck4RhiMg4EqYTiDiS06VfMoyVfJ8olrF2nC8Mfi4STfsab9hTaXtak78h/PT8LfhB+0t/wUF+N169hJrfjnxb4gv0vPGnxA8QvO2h+GrB3+e81fUdgtbG1tomK6bo9mEkmIS2sbXDO6/6ScW8aeFv0cOA6CxEcBkGTZdh5Ucj4cy2NOOPzTERj7tDBYbm9rXrVZpPE42s5RguariKjaSl/DPDfC3iB448YVnRljM4zPG1lVzbPMc6jweX0JS1q4qvy+zo0qadqGFpWlLSnRppNuP9gP7Gf7Evwq/Y18BJoHhC0j1rxvq9vA3jf4h39tGNZ8Q3iAMbW2Pztpug2su77FpcDhOBcXTT3B3Rf4teOHjxxf438QyzHOq0sDkOCqVFkPDWHqyeBy2i3ZVqq91YrMK0Le3xdRSl/wAu6KhSXKf6meE/hDw14UZKsFlVJYvN8VCDzfPK1OKxeOqrX2dN3k8Pg6cr+yw8Xb7dRym04/Ztfhx+sBQAUAFABQB4z42/5K98EP8AupX/AKjFpQB7NQAUAFABQAUAFABQAUAeM/tB/wDJIfF3/cA/9SfRaAPZqACgAoAKACgAoA/H79vj/gul/wAE4f8Agnfa6npnxi+Oej+L/ijZQyG2+CvwjktfH3xFmugsnk22q2mmXQ0nwqjzIIpZ/E+qaUYQS4il2lGAP519e/4OAf2lv+Civw68X6t8Ar3UP2Pvhfd63rfhLRR4LvtE1/43TW1pDbEax4h8aatpOo6b4bu5/tO+x0/wfpdhPbxq0kuv33mosH5TxvxvmeQZpRy/L6FBRjQp4irVxFOVT23tJS/d07Tioxio2k173M94297/AFK+hZ9Czwz8dvDPOePePc5zuriaud4/IcryvIcfRwH9kPAUaEnjsc5YfE1MTiMRUxHPQoTVKh7CnFtSlKcj+XL4x/8ABLj9pf40/GiDV7b496T8T9Q8e66sWr/Eb4++N9S0vWNJN3MWbUPFviPVf7b+1WUDSOzTWZZkX5YtPQHFdGR+JuVY7ko5pTeWYh2Tq39pg5Pvz/HST/vxaXd2seD41fs1fFDgmOLzjwvx9LxJyGjz1VlfJDLuLcPRX2Vg5SeCzSUV1wVaFaVvdwjbP3U+A3/BAH/gn/8AsV/COf49fty/FiD9sL4sDxJqegfDb4EfDHXZPDvwc8Rato9tpl0NW1rWNPmPi/xL4Ut5NQX+0rhrnw/ZXkCRQW9pPNclE+j4i4ty3I8uWMjWo4utiItYGhRqxmq07XU5Sg3y0Y3TnLT+Vaux/PP0f/ooeI3jZ4hS4SxOUZtwlk2R1qVTjPO83yzE4OWT4T2kovC0MPi4UXiM2xfs6tPB4dKUYuMsRW5aMHz+qfCf4P8Ajb9ov4kaD8Lvgp8OtA0mW/lWz8P+C/AugWXhfwH4F8PxuNxisNNgh0/QtA0qA+beX04e5u3D3N5Pe6jcO8v893zrjDOPt4vG4qXmqWHpX/8AAaNCmt9LaXblJvl/38hDwc+iP4RO31LhTgzhrC3lJ8lTNM9zSUN9eWvm2eZpWjoleTlKyVPD07Q/sh/Ye/YS+G/7GvgeO206K18SfFLXbSE+OPiDPbAXV5PgO2kaGJAZdM8PWchZYLZW868dTd3rPK6pB/QnC3CmC4awijBRrY+tFPFYyUfek9/ZUt3CjB6JKzn8U9bI/wAA/pO/Sl4y+kbxPOtjJ18l4FyvEVP9WOEaVZuhhqfwrMczcJcmNzfEQSlVrNezw8X7DDKNOLlP7tr6s/lkKACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFAH4G/8ABZ/4P/sgWfgqP4n+M76Xwb+0NqsbW/g+Dwba2E+sePvKYK7+LtGlmtIpdHsCCr+JZZ4L22ZjawNqDv8AZ4v9EvoOca+NNfPZcKZHh4554a4SaqZ1UzytiKeC4d51dLJcdCnWlDG4hO8crhTqUKiSq1FQjH2kv4o+llwt4WUsojxFm1aWVcc4mLp5VDKadGpis75HZvM8LKdKMsLRd08wnKFWDbpwlXb9nH+WIBiDjJUYLYzgdgT2HLYBPrgda/1t0ur2u9F3fVpfdfTtfof5v2dna9lZvsuiv99lc/V3/gmH+0T+xz8APH/9s/H34e6zJ42uLhIvDXxWvZbbxR4a8ICQ+WJIvCUel215o1wd483Xo59euol8ySNbJAgX+QPpW+Gnjb4i8O/UvDviTAxyKlTc804QoQq5Tmmdcq5nGecSxlShjqa5fcy+VPL6U3yxk68r8/8AS/0d+O/CngjO/rfG2R4t5xOoo5fxLWnDMcvyvm93mjlkcNGrg56+9jYyxtSKvKKorSP9hfg7xr4R+IXh3TfF3gbxJo3izwzrECXOm65oN/b6jp13E6q4Mdxbu6h1Vx5kL7JomOyWNHBWv8Vc7yLOeGszxWTZ/lmOyfNcFUlSxWAzDD1MNiaM4tx96nUjFuLafJON4TS5oSlFpn+p+VZvleeYDD5pk+PwuZ5fioKph8Zgq0K9CrFpPScHJKSTSlCVpwekkmmo9PXknohQAUAFABQAUAFAHjP7Pn/JIfCP/cf/APUn1qgD2agAoAKACgAoAKACgAoA8Z8E/wDJXvjf/wB01/8AUYu6APZqACgAoAKACgAoAKACgDxn4yf80q/7LN4G/wDcpQB7NQAUAFABQAUAFABQAUAcZ8R/+SeePP8AsTPFH/pjvqAD4cf8k88B/wDYmeF//THY0AdnQAUAFABQAUAFABQAUAeM+Cf+SvfG/wD7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM+Nv8Akr3wQ/7qV/6jFpQB7NQAUAFABQAUAFABQAUAcZ8R/wDknnjz/sTPFH/pjvqAD4cf8k88B/8AYmeF/wD0x2NAHZ0AFABQAUAFABQAUAFAH5NfEf8A5KH48/7HPxR/6fL6gD//0P7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df8AuUoA9moAKACgAoAKACgAoAKAOM+I/wDyTzx5/wBiZ4o/9Md9QAfDj/knngP/ALEzwv8A+mOxoA7OgAoAKACgAoAKACgD5Z/aS/bL/Z//AGVtCn1P4q+ONPtNaNtJNpXgjSZYtT8Za3KqgxRWeiQSefBFKzKDfagbSxjQmRp2C7a/W/C/wQ8RvF3MKeE4QyDE1sD7WMMXn2MhPCZHgI3fPOvj6kfZ1JxSbVDD+1rylaKpPmTj+ccf+K/BHhtg54jiXOaFLFunKeGyjDSjiM1xckrxjSwkG5wjLRe2r+yoxTu5O1p/yaftd/8ABRz4w/tOeLfGVp4Pn1f4ZfDPxje6PHJ4K0LUJv7W8QQ6NYDStMTxNqll5M+ovKjPI+k2oTTfOnMZjudqSt/rp4G/RO4B8HqFHOs2jhuK+M4U/aV89zGhD6hljiuaaybBV+aGFjCzbxtZyxcoq/NRScJf5teLX0jOMfE2tUyvLZV+HeGJVHCjlGBrTeMzBSfLB5niqKhPESmmrYSlFYdSdkpt8x7l+xr/AMEe/jP8dZ9E8bfGeO8+EPwqne3vvsl/F5fj3xRp7BZVj0rR5Vzoltdxsm3UtYEcoiZ3trGRwrV8r43/AE1OB/D+nj8h4GnR4z4vpqrh/bYefNw9lOJTcHLF42Dax9WjJSvhcE5Qc4xVXEQTlGX0XhP9FjizjOeEzfi2NXhbhqbp1vZVocud5jQfvKOGwkrfU6dRNfv8XyyUZSdOjKSUj+qj4M/A/wCF37P3gjTvh78JvCWm+EvDWnom6GyiDXup3QTbLqWs6g+671TUrg5ee7u3dyzMsYjjCov+RXHHHvFniPn2J4k4xzjFZxmmJlK0687UMLRcrwwuBw0bUcJhaStGnRoxStFOXNO8j/SXhPg/hzgjJ6GR8M5Zh8sy+hGN4Uo/vcRUStLEYuu71MTiKjvKdWpJtt2ioRShH1evjz6UKACgAoAKACgDxnxt/wAle+CH/dSv/UYtKAPZqACgAoAKACgAoAKACgDxn9oP/kkPi7/uAf8AqT6LQB7NQAUAFAGfq2r6VoOm3us65qen6Lo+m28l3qOq6te22nabp9pCN0t1e315LDa2tvEvzSTTyxxIOWdRzQB/N1/wUD/4OlP+Cbv7Fx1vwd8NvE95+1z8Y9NNxaDwl8Gbu0m8EaXqcLPC0PiT4o3Qfw7CtvOFNxb+Hk8RXhj3hUjdaAP4d/2/f+Dlr/gpl+3pJq3gnQvHh/Zr+EGvPLp0Xws+Ak2paPq2sWN5iBNN8SeP/Mbxl4he4yqPbWVzo9hNI2xdN2ttYAwP2CP+Dcj/AIKc/wDBQa703xtP8Obr4CfCfxBcJqF58ZP2g11Xw9JqtreO7z6poHhG4hk8beLZ5WJl8/7BZWVwz+Y2qAMXoA/uh/4J+/8ABsF+xV+xh4I1az8b+Ofi18efiN4q0+OHxD4kvfFWqeAvB2nXvlIDc+FvAfhm9SxSe1cOlrqHiW68Q3TwbFlhXARfGzjIMpz2kqWZYWFZwTVOsrwr0k9/Z1Y+9HXWzvG+vK7tS/YPCTx48U/BDM6mY+HXFOMyaniqtKrmOU1FDG5JmrpLliswyvEKWHqyUfc9tD2WJUVFRqpRij53/b4/4JVWv7K/hW/+Lngj4s6PqPw5TUILJfDvjqT+zfGUN3eu32bT9Gn0+2ms/E0mOiJbaddRwxyTzB0VnX8S4t4BjkOHnmOFzCnPBqaj7HFPkxKlL4YUnFctd+SjCVk3JNJuH+0v0Ufp31/HbPsJ4f8AE3AGY4PjGWEq4mWccLx+u8O1aGFjH22LzGli6tPEZJDW7nLEYuhKrONKk4ylGEvx90/T9Y1pxYaXY6nq0kEc90tlp9tdX7wwgR/abkW1skzRxgLF58wRVAWPzG4WvzmEKtVqFONSo4qUlCEZTaX2mox5rLbmdrd7/Z/0NxeLy3LIvF47E4HL4Vp0qEsVi61DCRq1HzKhRdatKmpzd5qlTcpSd5ci1al7V8Iv2jvjz+zjc3z/AAl8a6r8OrvU3T+1XsNH0ZLzU0iIeO11K51HSZ728s4mXfFZzzNbQuXkhiV3kZ/Ty7Os2yVzeX4mpg3O3tOSnTUqltVGbnScpRTWkW+VatRVz828QfBzwq8Y6OFhx/w1gOMMPgoy+oRxeYZjLDYKVRSU6+Do4TH08Nh8RUjLlniaUI16kFGE6kowhy/oP8NP+C2P7XfhC9sh43j8C/FDRoMJd2mq+H4vD+rXMeAC0eseHzbRxTAch5dOuULctGwBVvsMD4n8RYecfrSwuOpL4oVKSo1GvKrS5dfNwt5PY/kfjT9mh9HziDDYn/VmXFPBGY1byoYjAZvPN8BRnulLLs3jXlOm3o4wxlGST92Udz9lf2Yv+CvP7On7QWv+HvAfiGy174TfEHxHeW+laXpviIQ6j4a1PVrjbHBZ2PiexEcUMl5cMIbOPVbKw8yR0j80MS1fpOReIuTZxWo4StGtl+MryjTpwrWnQnUeijGvDROUtI+0jG90ulj/ADk8bv2e/jD4SZTm/FWUYnKuPuEcnw9bHY7G5P7TB5zgcBRvOriMVkmKcp1YYeinVxE8BicXyQjKXs3Fe9+r9foB/BIUAFABQAUAeM/83C/90Z/93egD2agAoAKACgAoAKACgD8Hf+Cmn/BMr43/ALVnxv8ADfxZ+E3iTwxcWVx4Y0jwnruheLNWudKHh7+ybm7cappZS2uory1vIr3zbq1i8u5+1QsQjq6NX+hP0VvpU8BeEPAWZ8HcY5Zm1OvTzbGZxl+YZPg6WN/tL65SoxeFxalXw86FahOgoUqsuek6U4pyg4tS/jD6Qv0euL/Evi/L+JuGcwy6dGeXYXLMZgszxVTDfUfq1Sq/rOGcaVWNWnVjW5qlOPLU9pFtXUkz3Pwf/wAE5vgZ+zZ+yP408D6v4c0P4ieL/FFr4af4heMtc0uGefVr0eI9HBsdD89XuNF0TT2klTT4rWSC6k3PdXUrXEpVPxDxW+lN4keIPHWG4rybOcz4Ry/IsRUfC2U5XjJ0VgKTdniMc6b9lj8di4JfW5Vozocv7ilSVKLU/wBW8O/o+8DcF8JV+HszyvAcSY3N6MFxBmGPw0KrxlRLmVHCKac8JhMPNv6uqU41eb99Um6j9z4T/a+/4IfXenw6p43/AGTNZn1OKMy3c/wm8VXqfbljA8x4vCniWYol2ygMINN1lUmfKRR6jI5C1/WPgv8AT2o4meEyHxiwVPCTlyUafGOUUJfV3JvlU83yuGtFNtOpisDzQilKcsKk24/zr4pfQ9qUIYjOPDLFzxEY81WfDOZVU6yj8TjlmPk0qjVny4fFpTekY1pNqJ+Vn7M37WH7QH7BPxburSFNds9P0rV5NL+I/wAHvE8l7aaZqAhm2X0UumT/ACaVrkK7pLHV7aESEmNmM9rIN39c+Kng/wCHP0huDaVapLAV8RjMFHF8McaZVGhWxWHc4Xw84YqFpYvATdo4jB1Xy2UklTrRP5s8PfEzjfwU4nqUoxxtKhhsVLDZ9wrmMqtLD11Cdq0ZUJprDYyOro4qlHm1T/eU5Xj/AGW/s1/tL/C39qj4a6Z8SvhdrKXlnOsdvrmhXLxprvhTWfLD3Gja5Zqd8E8Z3G3uAPs1/AouLV2Qsq/4heKPhZxb4R8U4rhfizAyoVqblUy/MKcZvL83wPM1Tx2ArtctSnJWVWm37XD1P3VWMWk5f6v8AeIPDniRw/h+IOHMUqtGajTxmDqOKxmW4vlTqYTGUk7wnF3dOpZU60P3lNtNqP0DX5wfbhQAUAFABQAUAeM/s+f8kh8I/wDcf/8AUn1qgD2agAoAKACgAoAKACgAoA8Z8E/8le+N/wD3TX/1GLugD2agAoAKACgAoAKACgAoA8Z+Mn/NKv8Ass3gb/3KUAezUAFABQAUAFABQAUAFAHGfEf/AJJ548/7EzxR/wCmO+oAPhx/yTzwH/2Jnhf/ANMdjQB2dABQAUAFABQAUAFABQB4z4J/5K98b/8Aumv/AKjF3QB7NQAUAFABQAUAFABQAUAeM+Nv+SvfBD/upX/qMWlAHs1ABQAUAFABQAUAFABQBxnxH/5J548/7EzxR/6Y76gA+HH/ACTzwH/2Jnhf/wBMdjQB2dABQAUAFABQAUAFABQB+TXxH/5KH48/7HPxR/6fL6gD/9H+5L/hTf8A1VX4zf8Ahcf/AHtoAP8AhTf/AFVX4zf+Fx/97aAD/hTf/VVfjN/4XH/3toAP+FN/9VV+M3/hcf8A3toAP+FN/wDVVfjN/wCFx/8Ae2gDzP8A4Vp/xeT/AIR7/hYHxN/5Jn/bP9uf8JV/xUP/ACNP2L+yv7S+w/8AIG/5fPsPk/8AH9/pHm/wUAemf8Kb/wCqq/Gb/wALj/720AH/AApv/qqvxm/8Lj/720AH/Cm/+qq/Gb/wuP8A720AH/Cm/wDqqvxm/wDC4/8AvbQAf8Kb/wCqq/Gb/wALj/720AH/AApv/qqvxm/8Lj/720AH/Cm/+qq/Gb/wuP8A720AH/Cm/wDqqvxm/wDC4/8AvbQB5n8Yvhp/wj/w48Rav/wsD4m639k/sj/iV+IfFX9paPdefrul2v8Apdl9hh87yfP+0W/7xfLuooJfm2baAPTP+FN/9VV+M3/hcf8A3toAP+FN/wDVVfjN/wCFx/8Ae2gA/wCFN/8AVVfjN/4XH/3toAP+FN/9VV+M3/hcf/e2gA/4U3/1VX4zf+Fx/wDe2gA/4U3/ANVV+M3/AIXH/wB7aAD/AIU3/wBVV+M3/hcf/e2gA/4U3/1VX4zf+Fx/97aAD/hTf/VVfjN/4XH/AN7aAPM/g78NP+Eg+HHh3V/+FgfE3RPtf9r/APEr8PeKv7N0e18jXdUtf9EsvsM3k+d5H2i4/eN5l1LPL8u/bQB6Z/wpv/qqvxm/8Lj/AO9tAH8R3/B6p4I/4RP4G/sLzf8ACXeOPEv2z4sfFyPyvFuv/wBsw2vleEPC7eZZx/ZbfyJZN22V9z70VBhcZYA9f/4MyvAf/CVfsNftOXn/AAmfj3w39n/adW3+y+FPEP8AY9nP/wAW08IyefcQfZLjzLj59nm7h+7VV2jblgD+xL/hTf8A1VX4zf8Ahcf/AHtoAP8AhTf/AFVX4zf+Fx/97aAD/hTf/VVfjN/4XH/3toAP+FN/9VV+M3/hcf8A3toAP+FN/wDVVfjN/wCFx/8Ae2gDzPwt8NPtvxH+Kekf8LA+Jtp/Yn/CD/8AE0sfFXkaxq/9paFcXX/E8vfsL/b/ALBs+z6b+7i+y2rPF8+7dQB6Z/wpv/qqvxm/8Lj/AO9tAB/wpv8A6qr8Zv8AwuP/AL20AH/Cm/8Aqqvxm/8AC4/+9tAB/wAKb/6qr8Zv/C4/+9tAB/wpv/qqvxm/8Lj/AO9tAB/wpv8A6qr8Zv8AwuP/AL20AH/Cm/8Aqqvxm/8AC4/+9tAB/wAKb/6qr8Zv/C4/+9tAHmfxL+Gn9jf8K/8A+LgfE3Vf7V+JvhXRv+Jz4q+3f2b9u+3/APE10r/QYvsetWflf6DffvPs/mS/um30Aemf8Kb/AOqq/Gb/AMLj/wC9tAB/wpv/AKqr8Zv/AAuP/vbQAf8ACm/+qq/Gb/wuP/vbQAf8Kb/6qr8Zv/C4/wDvbQAf8Kb/AOqq/Gb/AMLj/wC9tAB/wpv/AKqr8Zv/AAuP/vbQAf8ACm/+qq/Gb/wuP/vbQAf8Kb/6qr8Zv/C4/wDvbQBzPjX4T/2d4N8W6h/wsr4s3/2Dwzr179h1Lxj9q068+y6VdT/ZL+2/s9PtFlcbPJuoN6ebA8ke5d2aADwV8J/7R8G+EtQ/4WV8WbD7f4Z0G9+w6b4x+y6dZ/atKtZ/slhbf2e/2eyt9/k2sG9/KgSOPc23NAHTf8Kb/wCqq/Gb/wALj/720AH/AApv/qqvxm/8Lj/720AH/Cm/+qq/Gb/wuP8A720AH/Cm/wDqqvxm/wDC4/8AvbQAf8Kb/wCqq/Gb/wALj/720Acp428KeD/hv4Z1Txl48+PXxO8JeFtFt3udT1zXfiNDYafaRIpb5pp9OAeVwpENvEHnnf8Adwxu5Va9fIsgzrifNcJknD2V43OM2x1WNLCYDL6E8Ria05O2kIKTjCN051J8tOnH3pyjFOUfNzfOMqyDL8TmudZhhcsy3CQdTE4zGVoUKFKKTes5NXk7PlhHmnN6Ri20j+d39rv/AIKvu0l94L/ZO8cfGJoElmtb34o+MPFtwpuo1zGzeFPD8NpbXFush3NDquqzLLt8uSHT0J3L/pn4HfQPp4Wrg+I/GStRxUoqnXocF5fXcqCnpOMc7zCny+25dFUwWDapt80KmIkvdP4O8Wfpezr08TkfhhSq4dNzpVeKcbSSquK92TyrBTT9nzO7hisT76XLKnQi3zR/PH4Dfsm/tSftx+MtQ1fwtpeu+JxeX5l8VfFTx1qN4ug2s8shM8l94j1JrifU75R5jLp+ni9vDt8sRRrtZf7E8QfGDwl8Aciw2BzbF4DKvq+GVPKOEcgw9GeY1acIJU40Mtw3s4YWg/dUsVipUKT5nJ1JycmfzLwZ4Z+JHjHm1fGZfhsZmHtq7lmXEmcVqscFTnKXvurjq3PKvVV5NYfDxqVNLKMF7x/QD+xz/wAEo/hF8HvGfitvG/iDWPGnxM8CL4PnsfFWl/ZtK0vS7/XtJuNRu30PTb6y1KSJ7WSNIrTUZ5FvQhkfETMiJ/lb44/TA498V1isjyN1eDOC6jcJZZgcQ/7UzSjfT+18yp8kpU5qzlg8KqeH9203Wu5H+hPhN9Gjg/w6+r5rmyp8UcUQSmsfi6K+oYCp/wBS3Azc4xnHW2JrupW1vDk05f1a/wCFN/8AVVfjN/4XH/3tr+Qz+lA/4U3/ANVV+M3/AIXH/wB7aAD/AIU3/wBVV+M3/hcf/e2gA/4U3/1VX4zf+Fx/97aAD/hTf/VVfjN/4XH/AN7aAD/hTf8A1VX4zf8Ahcf/AHtoAP8AhTf/AFVX4zf+Fx/97aAD/hTf/VVfjN/4XH/3toA8z8U/DT7F8R/hZpH/AAsD4m3f9t/8Jx/xNL7xV5+saR/ZuhW91/xI737Cn2D7fv8As+pfu5ftVqqRfJt3UAemf8Kb/wCqq/Gb/wALj/720AH/AApv/qqvxm/8Lj/720AH/Cm/+qq/Gb/wuP8A720AH/Cm/wDqqvxm/wDC4/8AvbQAf8Kb/wCqq/Gb/wALj/720AH/AApv/qqvxm/8Lj/720AH/Cm/+qq/Gb/wuP8A720AH/Cm/wDqqvxm/wDC4/8AvbQB5n8Yvhp/wj/w48Rav/wsD4m639k/sj/iV+IfFX9paPdefrul2v8Apdl9hh87yfP+0W/7xfLuooJfm2baAPTP+FN/9VV+M3/hcf8A3toA82+Kw+FHwK8G6p8Q/jN+054y+F3gbRYJbnU/FXjv4t6X4Z0W1jhjaV1N7qtrbxSzlFJjtoDJczHCQxSOQqgH8kP/AAUE/wCDq79kj4IHW/A37D2tfHj9qfx/am4s4viHr/jm/wDBXwU0+7jbYLi0ll0ZPF3jO3AIkiOnWWiWE+whNVKMHYA/jr/ab/4Kff8ABTr/AIKe+LYPh/48+MHxm+Jlj4jv/J8O/AD4YS+KW8JzSTMIorS18CeHZbq48QShWjSS51katOxAleVKAP12/wCCfn/Boz+3l+01/YnjX9qnUtM/Y5+Fl75F3LpXiK3i8TfGnVbB2BeOy8D2NwNP8NTyxFZIpvFer21xFuxJo7srJQB/aX+xN/wbo/8ABOH9hgaTr/w58H+LPGHxV06KIv8AF/4i6j4f8R+MFvQiCa60KOfwz/ZPhVJJE82KPRLK3uITgG7lZd7AH68j4NAAAfFT4ygAAADxvgADoABpgAAHQAfligDE8TeANB8G+Hta8V+KPjT8WtE8O+HtNu9X1nVtQ8fLBZ2GnWMLT3NzPK2m4CpGhwo3O7lY41Z2RGyr16WGo1cRXqRpUaMJVKtSbtGEIK8pN6bJfPZX0R6mS5LmvEeb5bkOR4HEZnm+b4yhl+XZfhKbq4jF4vE1I06NGlCOrlKUldu0YxvOTUYylH+Oz9tX9qXxN+1X8Wn07w/rnjvXvhpoGry6P8MPD/iXWLvW9TvnuZlshrctmqJF/bHiCQJ5EENr9ogtXgsgWfzFb+ZeLuJa/E+ZpUVP6jQm6WAw6vebb5fbSgt6tZ6JXlyxtFfaP+lD6Jv0b8i+jV4byq5vLBS42zvBwzXjniCpKnGlg4UaTxCyihipqKpZXk9PndWpzQpV8RGtiqiaVOcf3X/4Jif8E/8ATPhj8P8AXPH3jrU/Fnh740anrV/4b1dfD+qWumyeGdHtrLS7l/DolbT7qf7Y9xdyf2y6TKkkkUVttCQtv/YOBuEoZDgli8ZTjLNMZBOpzJP6rRlrHDx+JKT3rNPWXuu6jaP+R/03vpXYvxy4xlwnwjjq9Dwx4RxtWnl/sak6UeJs3oydKtn2JScXUw1NqVLKac/dhRviuVVa0Zn6Qa3+yb8NvEsUsPiLVPGGvRTKUlj1i+0LUkkU9Q4vfDs24H3/ADGMt9rVwOCrpqtg8LVT3VShSnf/AMCg/wCu1rH8Z5ZxvxnktSFXJ+LuJsrqUpKVOeXZ7mmCcJLZxeHxVO1vJP0d7Hyz8Q/+CQv7HvxBtpxJoninwvqkgkaPWfCmpaLpFykzj5XmtovDxsbtFb5jHNbZPIDJuJX5nMuBOGsyg08BDB1Xdqtgv9nmm+rjG9OfpKnr2V7n9JeHf04/pH+HmJpSp8eYzizLYckamT8aR/t7CzpwesaeJrTp5lhpSj7vtKOOj3anb3fjzwR/wQr0rwj8ZfDfiyb48alqPw48N61p+vwaZb+HU0vx1Pd6VdR31najWYr240i2UXUEJfUIdPMqqrNFZq5G35PB+FlPC5ph8U80lVwWHrU66oujy4icqU1OMJTUvZqLlFXmrO20dE5f1Vxh+1Ax/FPhhxBwxS8MqWV8ZZ/k+PySpmsM6+tcP4ShmWGqYPE4ujgauEjjp140K1R0cPVxEqaqcrnWkkftD/wpv/qqvxm/8Lj/AO9tfrh/k2H/AApv/qqvxm/8Lj/720AH/Cm/+qq/Gb/wuP8A720AH/Cm/wDqqvxm/wDC4/8AvbQAf8Kb/wCqq/Gb/wALj/720AeZ/wDCtP8Ai8n/AAj3/CwPib/yTP8Atn+3P+Eq/wCKh/5Gn7F/ZX9pfYf+QN/y+fYfJ/4/v9I83+CgD0z/AIU3/wBVV+M3/hcf/e2gA/4U3/1VX4zf+Fx/97aAD/hTf/VVfjN/4XH/AN7aAD/hTf8A1VX4zf8Ahcf/AHtoAP8AhTf/AFVX4zf+Fx/97aAD/hTf/VVfjN/4XH/3toAP+FN/9VV+M3/hcf8A3toAP+FN/wDVVfjN/wCFx/8Ae2gDzP4xfDT/AIR/4ceItX/4WB8Tdb+yf2R/xK/EPir+0tHuvP13S7X/AEuy+ww+d5Pn/aLf94vl3UUEvzbNtAHpn/Cm/wDqqvxm/wDC4/8AvbQB+c/7c3/BKzwn+0j4d1Lxp4J8UeIYPjvpdj/xKdZ8WanZ32n+LYLVC0WgeIbpNMtrqN3H7rTNWe4l+wSPsnjktGfyv62+jT9KDOvBjMqWQ57PE5v4d5hiE8Zl/NKticiq1GlPM8ojJ6JfFi8DF+zxMVz01HEJSl/OHjt4BZV4o4Gpm+URoZbxrg6L+rY2yp0M2p003HAZk47t/Dh8W1KdCT5Z3ouXL8U/8Es/2Cf2sfhP8ZfGXiP4q2/jf4L+AI/DV9ol9a6T4ptNOv8AxnrT3ds2lPZw6bcahDc6dpwiubs31zAq/OkVvIGlZa/fvpmeOfg94i+H2R5FwjmuE4o4jec4XM8PjsLhMRB5HgadCtHGU6+IxNCjKnVxntKVF4Sm5tuDnUtyJn479F/wk8TeCOM83zbiTAYjIMkWWYjAVsJXxNGazbFyq0nhqlGjQq1VOnhuSpUjiZqPxckPjkj97v8AhTf/AFVX4zf+Fx/97a/zLP7xD/hTf/VVfjN/4XH/AN7aAD/hTf8A1VX4zf8Ahcf/AHtoAP8AhTf/AFVX4zf+Fx/97aAD/hTf/VVfjN/4XH/3toAP+FN/9VV+M3/hcf8A3toA8z+Dvw0/4SD4ceHdX/4WB8TdE+1/2v8A8Svw94q/s3R7XyNd1S1/0Sy+wzeT53kfaLj943mXUs8vy79tAHpn/Cm/+qq/Gb/wuP8A720AH/Cm/wDqqvxm/wDC4/8AvbQAf8Kb/wCqq/Gb/wALj/720AH/AApv/qqvxm/8Lj/720AH/Cm/+qq/Gb/wuP8A720AH/Cm/wDqqvxm/wDC4/8AvbQAf8Kb/wCqq/Gb/wALj/720AH/AApv/qqvxm/8Lj/720AeZ+Fvhp9t+I/xT0j/AIWB8TbT+xP+EH/4mlj4q8jWNX/tLQri6/4nl79hf7f9g2fZ9N/dxfZbVni+fduoA9M/4U3/ANVV+M3/AIXH/wB7aAD/AIU3/wBVV+M3/hcf/e2gA/4U3/1VX4zf+Fx/97aAD/hTf/VVfjN/4XH/AN7aAD/hTf8A1VX4zf8Ahcf/AHtoAP8AhTf/AFVX4zf+Fx/97aAD/hTf/VVfjN/4XH/3toAP+FN/9VV+M3/hcf8A3toA8z+Jfw0/sb/hX/8AxcD4m6r/AGr8TfCujf8AE58Vfbv7N+3fb/8Aia6V/oMX2PWrPyv9Bvv3n2fzJf3Tb6APTP8AhTf/AFVX4zf+Fx/97aAD/hTf/VVfjN/4XH/3toAP+FN/9VV+M3/hcf8A3toAP+FN/wDVVfjN/wCFx/8Ae2gA/wCFN/8AVVfjN/4XH/3toAP+FN/9VV+M3/hcf/e2gA/4U3/1VX4zf+Fx/wDe2gA/4U3/ANVV+M3/AIXH/wB7aAOZ8a/Cf+zvBvi3UP8AhZXxZv8A7B4Z169+w6l4x+1adefZdKup/sl/bf2en2iyuNnk3UG9PNgeSPcu7NAB4K+E/wDaPg3wlqH/AAsr4s2H2/wzoN79h03xj9l06z+1aVaz/ZLC2/s9/s9lb7/JtYN7+VAkce5tuaAOm/4U3/1VX4zf+Fx/97aAD/hTf/VVfjN/4XH/AN7aAD/hTf8A1VX4zf8Ahcf/AHtoAP8AhTf/AFVX4zf+Fx/97aAD/hTf/VVfjN/4XH/3toAP+FN/9VV+M3/hcf8A3toAP+FN/wDVVfjN/wCFx/8Ae2gA/wCFN/8AVVfjN/4XH/3toA8z8LfDT7b8R/inpH/CwPibaf2J/wAIP/xNLHxV5Gsav/aWhXF1/wATy9+wv9v+wbPs+m/u4vstqzxfPu3UAemf8Kb/AOqq/Gb/AMLj/wC9tAB/wpv/AKqr8Zv/AAuP/vbQAf8ACm/+qq/Gb/wuP/vbQAf8Kb/6qr8Zv/C4/wDvbQAf8Kb/AOqq/Gb/AMLj/wC9tAB/wpv/AKqr8Zv/AAuP/vbQAf8ACm/+qq/Gb/wuP/vbQAf8Kb/6qr8Zv/C4/wDvbQB5n4p+Gn2L4j/CzSP+FgfE27/tv/hOP+JpfeKvP1jSP7N0K3uv+JHe/YU+wfb9/wBn1L93L9qtVSL5Nu6gD0z/AIU3/wBVV+M3/hcf/e2gA/4U3/1VX4zf+Fx/97aAD/hTf/VVfjN/4XH/AN7aAD/hTf8A1VX4zf8Ahcf/AHtoAP8AhTf/AFVX4zf+Fx/97aAD/hTf/VVfjN/4XH/3toAP+FN/9VV+M3/hcf8A3toAP+FN/wDVVfjN/wCFx/8Ae2gDmfGvwn/s7wb4t1D/AIWV8Wb/AOweGdevfsOpeMftWnXn2XSrqf7Jf239np9osrjZ5N1BvTzYHkj3LuzQAeCvhP8A2j4N8Jah/wALK+LNh9v8M6De/YdN8Y/ZdOs/tWlWs/2Swtv7Pf7PZW+/ybWDe/lQJHHubbmgDpv+FN/9VV+M3/hcf/e2gA/4U3/1VX4zf+Fx/wDe2gA/4U3/ANVV+M3/AIXH/wB7aAD/AIU3/wBVV+M3/hcf/e2gA/4U3/1VX4zf+Fx/97aAD/hTf/VVfjN/4XH/AN7aAD/hTf8A1VX4zf8Ahcf/AHtoAP8AhTf/AFVX4zf+Fx/97aAPzz8a2X9neMvFun/a72/+weJtesvt2pT/AGrUbz7Lqt1B9rv7nan2i9uNnnXU+xPNneSTau7FAH//0v7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df8AuUoA9moAKACgAoAKACgAoAKAOM+I/wDyTzx5/wBiZ4o/9Md9QAfDj/knngP/ALEzwv8A+mOxoA7OgAoAKACgD4C/bC/4KL/AT9kPTrrTdb1ZPGvxQe3dtL+Gvhm6gn1VJmVvIm8R3imW28OWG9cu94GvZFXFtZSFl3f0X4K/Rm8RPGfE0cVgMHLIuE41EsXxTmtKpTwkoJr2kMsoNRq5niLaJUP3EJNOrWglJS/EvFPx44K8LsPVoYzErNuInBvDcP5fUhPEqb0jLH1fep4CjfVuretJK1OlK6Z/KR+0h+15+0l+3d8QNP03XZNU1Cyu9TEHgf4Q+CoL2fRbCe4k2wR22mW4e41rVdmxZtV1ASzkIZEFrEHWv9ffDDwY8L/o+8OYnFZfHCYavRwvtM/4zz2pQp47EU6cb1JVcXUcaWBwfM5Ong8PyU7ys3Vm05f5p8feKPH/AIz53Qw+MeJr0auI5Mn4XyiFaeEoynK0FDDwTqYvE2tz4mupzsm1KnBSjL9bf2MP+CJNvNZ6R8Qf2uLu5SaZYL6z+D+hXfkGBD+9ij8Z67A/mGbGz7Ro2kMgTdLBc37EMtfxv44/TwqQrY3hvwao0nCDqYevxrmFHn55L3ZSyPL6qUeS/N7PHYyMub3KlLDpWcv6e8JvohQlSwueeJ9WopyUK1LhbBVeXkT96KzbGwbfPtz4TC2UfehUrtrlP6I/CPg/wr4B8O6X4S8FeH9J8LeGdFto7PStE0Syg0/TrK3iRURIbeBI13EKDJK++WV8ySySOWdv8085zrN+Isyxec57mWMzbNcdVlWxePx9epiMTXqTbblOrUlJ2V7RirQhH3YRjFJH92ZXlWW5JgcPlmUYHC5dl+EpxpYbB4OjChQpQirJRpwSV2leUnzSm/elJybZ574J/wCSvfG//umv/qMXdeWd57NQAUAFABQAUAFABQAUAeM+Nv8Akr3wQ/7qV/6jFpQB7NQAUAFABQAUAFABQAUAfn//AMFE/wBsv9l79kb4CeKdf/aK+N3gH4XQ3kejvpGk+INctR4o8QvBr2mXTweHfClsbjxDrkxitpiBp2nTopT95JEMswB/IL/wUF/4PPgP7c8B/wDBOL4Lbv8AX2dv8efjtY4APRNR8K/Cyyu8sCMmGXxbqi44M2hndtUA/kv8T/EL/gqF/wAFkPjXFZapqX7Qf7YnxL1C8/0Dw3pFtquseGPC6Tu7RJZ6HpkVp4H8D6VboxRbmSDSbaOFR591Jt3sAf02f8E+f+DMz4teNDofj3/god8XrP4UeH5DbX03wS+D9zZeJPHt3ATFMbDxJ47uIpvDPhxpomaG5h0O18RXdvIGVbqJ1V6AP7b/ANi//gmd+xB/wT98MW/h39ln9n/wT8Pr0WsVtqnjmWwTXviV4iaOPymuNf8AHmsrd+Ib2SZSfNgivLaw5xHZouAoB930AFABQB+A/wDwXV+KHxY8OeBPhh8N/DlvqGn/AAs8czavfeN9dsY5xFqmr6NPY/2P4W1C8j+SGzMc8mqNaMU+3ypEJPNjtmSvyTxVx+Y0cLgcFQjOGAxbqyxVWCdqlSm4+zw82tFGzdTlbXM+9mj/AFg/Zb8D8A5zxTxvxlnNXCYvjnhenl+G4YyvFTpOeBwGY0sT/aGe4TDz96piVOlHAqvGMvqsJzceSdbnPLf+CPv7ADXU+n/tXfGLQmW2tpHb4PeGdVtWQz3MbNHL46vra4QExQMHg8OxvFseUS6ludUtxXB4c8I3cOIMypaJ/wDCdQqR3a0eKlGS6PSjpveetoxPuv2h30so0KOL8BvDrNU61eEV4iZ1gK6l7KhNKdPhbDV6TsqlVctXN5Rk5Rpung9HKsz95Pg3/wA1V/7LN45/9xdftR/jKezUAFABQAUAFABQAUAFAHjP/Nwv/dGf/d3oA9moAKACgAoAKACgAoAKAPGf2g/+SQ+Lv+4B/wCpPotAHs1ABQAUAFABQAUAFABQAUAeM/s+f8kh8I/9x/8A9SfWqAPZqACgAoAKACgAoAKACgDxnwT/AMle+N//AHTX/wBRi7oA9moAKACgAoAKACgAoAKAPGfjJ/zSr/ss3gb/ANylAHs1ABQAUAFABQAUAFABQBxnxH/5J548/wCxM8Uf+mO+oAPhx/yTzwH/ANiZ4X/9MdjQB2dABQAUAFABQAUAFABQB4z4J/5K98b/APumv/qMXdAHs1ABQAUAFABQAUAFABQB4z42/wCSvfBD/upX/qMWlAHs1ABQAUAFABQAUAFABQBxnxH/AOSeePP+xM8Uf+mO+oAPhx/yTzwH/wBiZ4X/APTHY0AdnQAUAFABQAUAFABQAUAfk18R/wDkofjz/sc/FH/p8vqAP//T/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgDI17X9D8LaNqPiHxLq+naDoWkWst7qer6tdwWGnWFpCu6Se6u7mSKGGNR3dxuYqq5YgL25dl2PzfG4bLcrwWKzDMMZVhQwuCwdCpiMTiK03aNOlRpRlOcm+0XZauyTZy43G4PLcLXx2YYqhgsHhacquIxWJqwoUKNOCvKdSrUcYxiu7e+iu2lL+bL9vf8A4LLXurNq/wAKP2R9Qm07TA89hr3xl8oJfagqkxy2/gS3mTdZWjncP+EhuF+1TRhG0+CBHMzf6h/R4+hDQwawXGHjLhoYnFtU8Rl/A/NfD4Zv3oVOIKtOTVetFNf8JtJ+xpyusTUqSjyH8A+NX0r62JeK4Z8MK86GHvOjjOK+XlrVkvdnDJoTi3Rpt3/26ovaTjZ0IQUuY/Mv9lf9g79o79trxLL4g0u1v9M8HXepPN4o+L3jY30mnSzvIDePYTXL/bvFWrkt80NnK6K+77VeQ7GFf1T4ufSE8MfAjKoZdi62HxWd0cMoZTwZkKw8cTCEY2oxxEKVsPlGDStadaMW1/BpTckj+evDfwX498XswljsPTr4fKquIcsx4ozd1pUJzcv3rozqfvsxxWusaUpJP+JUha5/Vx+yJ+wF8Bv2PtGifwZoo8R/EG5tlh1z4meJILe48R3zMv76HTAFaDw/prHIWx04KzqW+1XVyzHb/kD4zfSL8QvGnHTjnmOeWcN0qrnl/C2WVKlLLKCT9ypi3f2mY4tJ64jFcyT/AINKilaP+lvhd4J8F+FmEi8pwax+eVKahjOIcfCFTH1m178MPo44HDt7UaDu037SpO59wV+CH7AFAHjPgn/kr3xv/wC6a/8AqMXdAHs1ABQAUAFABQAUAFABQB4z42/5K98EP+6lf+oxaUAezUAFABQAUAFABQB+Wn7d/wDwWZ/4J5/8E69Ovo/2hPj54dbx9bwSSWfwd+H8sPjn4q6hKu5Vhfwvo9xIdDRpQkb3XiW60a1iDrI0pjBZQD+H3/goL/weJ/tafG4a34F/Yc8B6b+yz4BuhcWUXxF8Q/YPGvxq1C0kUxi5snmjl8I+C5zgSxGwsdb1C33FU1RWAegD8BfhH+x3/wAFMP8Agql441v4m+HvBXxq/aAvbu+ifxd8c/iTqesy+DNJfUb9LVX1X4i+LZhpUMIvbiOJdM0m4uJ4S4WDTAg20Af2g/8ABPv/AIMz/gp4B/sTx5/wUH+Ld98Z/EsX2a+l+DPwnnv/AAp8N7OcCKb7D4g8Yzxw+LPE6QyhoLmLSovDdncpuAlmjYFgD+xX4B/s0fs//ss+BrD4bfs6/B74f/BvwRp0McMGg+AvDenaFBMIhhJtSubaL7dq951332q3d7eSE5knY80Ae40AFABQAUAFAGZq+iaNr9odP13SNM1qwMiSmx1ewtNStDLHkxym2vIZ4TJGSdjlNy5O0jndFSlSrR5KtOFWF0+SpCM43Wz5ZJq66O2nS12d2X5nmWU4hYvKswx2WYpQlTWJy/F18HiFTn8cFWw9SnUUJr4o83LK2qenLfhhht4ore3ijgggjSKGGFFiihijUJHFFGgVI440ARERVVVUBQAAKpJJJJJJJJJKySWiSS0SS2S/Q5KlSpWqTq1ak6tWrOVSpUqSlOpUqTblOc5yblOcpNylKTcm22222zx34N/81V/7LN45/wDcXTIPZqACgAoAKACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQAUAFABQAUAFABQAUAeM+Cf+SvfG/wD7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/uUoA9moAKACgAoAKACgAoAKAOM+I/8AyTzx5/2Jnij/ANMd9QAfDj/knngP/sTPC/8A6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/wDdNf8A1GLugD2agAoAKACgAoAKACgAoA8Z8bf8le+CH/dSv/UYtKAPZqACgAoAKACgAoAKACgDjPiP/wAk88ef9iZ4o/8ATHfUAHw4/wCSeeA/+xM8L/8ApjsaAOzoAKACgAoAKACgAoAKAPya+I//ACUPx5/2Ofij/wBPl9QB/9T+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoA8H/aJ/aQ+FX7L3w71H4kfFbX4dK0y2WSHSdKhKTa54m1Xy2eDSNC0/eJbu7lIHmSbRb2kZ865liTG79C8NPDDi7xY4lw3DHCGXTxmKquM8Zi5pwwGVYTmtPG5hibOFGjDXljrUrTXs6UJSufF8d8fcN+HWRYjP+JcdHDYemnHDYaFpYzMMTa8MLgqHxVasnbmduSnH36kopH8eH7YX7e/x1/bc8ZjQY21fQvh1LqiWvgz4R+Gnubhbt3k8qxm1uOxXz/E3iC6LKxWSKW2t5n8nT7dVRXb/a3wU+jx4f8AgNkf9oSWCx/E0cI6uecZZoqVN0Yxjz4iGAlXtTyrLaSTV4yhVqQi54mtLmcI/wCV3ip418ZeL+bfUovFYPIZYlU8p4YwDqVFVbly0Z4xUUp5hjql7tSjKnTlLkowSipT/RT9hT/gjFrGvy6P8UP2trabRdBxDqGkfB+CYx61qf3ZIH8a3kDj+yrJuDJodqzX86Dy7y4tUkaOv5o+kD9OLBZdDG8J+DlWGOzH38NjeNakFLA4TeNSORUJp/W662jj60fq9N+9QhVaUz938Gvom4rGywnEfidTlhMF7tfC8Kwny4vEbSg83qwk/q1J/awdPmrSWlWdNScT+lnw74c0Hwjoel+GvC+j6d4f8P6LZw6fpOj6TaQ2OnafZwKEit7W1gRIokUDJwCXYl3ZnZ2r/LXM8zzHOcfi80zbG4nMcyx1eeJxmOxlaeIxOJr1HedSrVqOUpSbfV2StFWSSj/oHgMBgsrweHy/LsLQwWBwlKFDDYXC0oUaFClBWjCnShaMUl23d27t3NquE6woAKAPGfBP/JXvjf8A901/9Ri7oA9moAKACgAoAKACgAoAKAPGfG3/ACV74If91K/9Ri0oA9moAKACgCvd3lpp9rcX1/dW9lZWcMlzd3l3PHbWtrbwoZJri4uJnjihhijVnklldURFLOwUZoA/nx/4KBf8HMP/AATS/YW/tvwppXxDf9p34zaX9otv+Fa/Am6sNf0/T9TgOw2nij4iNL/wh+h7GIM0dpd6zqMa7saczgooB/Dp/wAFAf8Ag6S/4KSftqNrXgz4ZeJrX9kj4O6r59ing/4MXV5H451fTpw8Bt/EfxQuVTxHO91C6efa+HIvDtoJN6LHKhBYA+bv2Ff+CB3/AAU+/wCCkur23jjQfhbr3w++HHiO9F9q/wAfP2hJ9X8MaLqcdxKPteqaVDq8M/jHxzdlXEwk0rTbqC6yGfUYlO+gD+33/gn1/wAGlP7AP7LH9ieNf2mJtR/bI+LFiLa7kg8Z2p0D4OaTqKKruNM+HljPJLr0UFwgkt5/F2qanG+D5mmRqxRQD+i34r+EPCfgL4A634T8D+GdA8HeFtFt/DtnpHhzwvo+n6Doel2sfiXRFS3sNK0u3tbG0iUAARwQIvfkklgD6IoAKACgAoAKACgAoAKACgDxn4N/81V/7LN45/8AcXQB7NQAUAFABQAUAFABQAUAeM/83C/90Z/93egD2agAoAKACgAoAKACgAoA8Z/aD/5JD4u/7gH/AKk+i0AezUAFABQAUAFABQAUAFABQB4z+z5/ySHwj/3H/wD1J9aoA9moAKACgAoAKACgAoAKAPGfBP8AyV743/8AdNf/AFGLugD2agAoAKACgAoAKACgAoA8Z+Mn/NKv+yzeBv8A3KUAezUAFABQAUAFABQAUAFAHGfEf/knnjz/ALEzxR/6Y76gA+HH/JPPAf8A2Jnhf/0x2NAHZ0AFABQAUAFABQAUAFAHjPgn/kr3xv8A+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPjb/AJK98EP+6lf+oxaUAezUAFABQAUAFABQAUAFAHGfEf8A5J548/7EzxR/6Y76gA+HH/JPPAf/AGJnhf8A9MdjQB2dABQAUAFABQAUAFABQB+TXxH/AOSh+PP+xz8Uf+ny+oA//9X+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAPLf2nP2lvhz+yp8Kdb+KXxGv1S2s0e10DQIJY11jxZr8kbNZaHpEL5LzTMA91csvkWNqslzOQqqj/AKT4U+FvE3i7xfgOEuGcO5Va8lVzHMasZfUsny6Ml9Yx+MmlpCnG6pUk/aYis4Uaabk5R+G8Q/EDIfDXhrGcSZ9WSp0YungsFCUViszxsot0cHhYPVym0nUqfBRp81SeyjL+L341fGv9oD/goR8frKa4s9T8R+JPE2qLonw9+Heh+fNpPhrTZpcW+m6ZalvLiWKLFxrGs3OyS5dZru7kSJURP9yeBeBPDn6N/h1XhTr4TK8syvCvH8ScTY9U6eMzTFQh+9xWLqr3pynL91gsDSlKNNOFGjDncnP/ACX4u4u438cuNqM50cRj8fmGIWDyPIsHzzw2X4ec/wB3Qw9Pm5YKEf3mKxVSzm+erUnFJKP9Mv8AwT4/4JheBf2UdO074hfESLTfG/x5vLWOWTVHiS60TwGZowZNM8KpKpWS/i3GK78QMizzSKwsRBbhHb/K/wCkh9K7iDxfxOJ4a4alish8PaFWUI4SMnRx/EPJP3cXm8oNOOHnZToZcm6cItOvz1XNQ/0J8Dvo75N4aUKGe57HD5xxpWpRlLEuPtMHkvPG8sPlsZq0q0b8tXHOKnOStRVOmouX6xV/Hp/TAUAFABQAUAeM+Cf+SvfG/wD7pr/6jF3QB7NQAUAFABQAUAFABQB8TJ/wUO/ZNk+Oa/s9J8TYH+IDawPDayrpt+3hVvEhk8gaAPFAi/ss6kbv/Qgof7Kbv/R/tW8Bq+Y/1x4f/tX+x/ry+ue19hfkl7D297ex9vZw5+b3b83LzaavQ/piX0QvHyHhe/F2fBNWPCUcuecyhLGYRZ7HJlD2rzZ5G6v15YNUP9ou4e3+r/vfq/Ke5+Nv+SvfBD/upX/qMWlfTn8zns1AHGeP/iN4A+FHhXVfHXxO8beFfh74M0O3kutX8U+M9e0zw3oOnQRo8jvdarq11aWcR2IxRGl8yQjbGrMQrAH8o/8AwUD/AODvf9h/9nP+2/BP7IXh7U/2wPibZ/aLSHxJZTXPhH4I6bfIMJNL4qu4Drniy3V9ysnhrSEtJtv7rWQp30AfxH/tsf8ABbD/AIKgf8FQPEjeB/GnxT8YW3g7xJfm00D9nf4Bafq/hzwpe+a8gtdNm0Hw3Jc+JPG935UnksdevdYe5K71t4c7KAPvH/gn3/wag/8ABQ/9rj+xPGfx6stP/Y5+EWofZrxr/wCJdrJqXxU1fTZTHKW0T4ZWM0d7p8lxav5ltceLr/QUDMpNrNtdKAP7i/8Agn//AMG5/wDwTR/YDXRvEui/CeL49fGPTFgmb4vfHeCw8Yapb6jEuHvPDHhOW1Xwf4UDNh4vsOlXGoQsoP8Aajvl6AP3biiigijggjjhhhjSKGGJFjiiijUJHHHGoCpGiAKiKAqqAAAABQBJQB4z+0H/AMkh8Xf9wD/1J9FoA9moAKACgAoAKACgAoAKACgDxn4N/wDNVf8Ass3jn/3F0AezUAFABQAUAFABQAUAFAHjP/Nwv/dGf/d3oA9moAKACgAoAKACgAoAKAPGf2g/+SQ+Lv8AuAf+pPotAHs1ABQAUAFABQAUAFABQAUAeM/s+f8AJIfCP/cf/wDUn1qgD2agAoAKACgAoAKACgAoA8Z8E/8AJXvjf/3TX/1GLugD2agAoAKACgAoAKACgAoA8Z+Mn/NKv+yzeBv/AHKUAezUAFABQAUAFABQAUAFAHGfEf8A5J548/7EzxR/6Y76gA+HH/JPPAf/AGJnhf8A9MdjQB2dABQAUAFABQAUAFABQB4z4J/5K98b/wDumv8A6jF3QB7NQAUAFABQAUAFABQAUAeM+Nv+SvfBD/upX/qMWlAHs1ABQAUAFABQAUAFABQBxnxH/wCSeePP+xM8Uf8ApjvqAD4cf8k88B/9iZ4X/wDTHY0AdnQAUAFABQAUAFABQAUAfk18R/8Akofjz/sc/FH/AKfL6gD/1v7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df8AuUoA9moAKACgAoAKACgAoAKAOM+I/wDyTzx5/wBiZ4o/9Md9QBjeG/EOi+Evg94c8UeI9RttJ0Hw/wDDnRNY1jU7yRYrax07T/DdrdXdzM7cBIoYmbHLMRtUFiFbuy3LcdnGY4HKssw1XGZhmWKoYLBYWjFzq4jFYmpGlRpQirtynUnFdlu7JXOTH47CZZgsXmOPr08NgsDh62LxWIqyUadHD0ISqVak27WUYRb7vZXbSP4rv22P2p/H/wC3L+0NPPow1fUPCUWu/wDCJ/BvwLbB2Mdhc3i2VjciyUqsuu+I5yl1dzyKrxiaK13JFAa/3t8CPCPh3wC8NoU8a8Hh84nl/wDbHG+f1XFc2IpUJYivSddpuOX5ZT56VGnFuMnTnV96dRM/x88XfEjO/GPjqUsJ9ar5ZHG/2Xwpk9O7tRqVvY0ansVZSxmPny1Kk5e9FSjTuow5j+lX/gmv/wAE+NB/ZF8CQ+MPGtlYav8AHrxjYRyeItWMaXEfg3TbhBIvhHQJnUmMxgj+29RiKSahdAwLts4UR/8ALj6UX0kMw8ZuIJ5LkVfEYPw8yXESjlmEUpUpZ3iab5XnOYwT95St/sGGmnHDUmpy/fzk4/6A+AHgbgvC/JYZpm9GhiuNM1oxljsVZVFlVCaTWWYKbXu8qa+uVo616nupqlCKl+pFfyWf0aFABQAUAFABQB4z4J/5K98b/wDumv8A6jF3QB7NQAUAFABQAUAFAH4+f8FV/wBveD9nHwHP8HPhrq0f/C6/iBpUkc93aSo8/gHwpeo0M+szBc/Z9a1SMvb6HHL88aedqPllYoXf854+4tWS4R5dgqi/tPGQacotXwmHkmnUejtVmtKV9tZ2dkf6HfQQ+ilV8Y+KqXiLxpl814acJY6E6VDEQlGlxZn2GlGrSy6nzL99luBkoVc0nD3Jy9ng+dOdVR/Ev/gmJ+xv4p/ai+OWl+PdZOoWPww+FniPSvFXivxGxl8/W/ENjexatpXhrT7uTd5t/fXUKXeqXJeR7WxV5HDTXEVfmHA3DVfPs0hi6vPHA4CtTr162t6taElUp0YSe85SSlUd9Ia6OR/pj9Nz6RmReB3hfjuFMtWExXG/HWT47IshyZKHsssyfFYapgMdnWLw8LKGFwtCpLD4GilCNfFSjGNqdGZ/SV+2N+1l+zd+yF4g+EfxO/aU+MvgT4P+DNKt/iRcT6n4w1u2sri6Enh20t4YdJ0hDLrGs3Vxcsttb2ulWF5NLO6Rqm41/Sp/zgH8ln/BQP8A4PO/BHh/+2/Af/BOr4MT+NtTQXFlB8dPjda3OkeGIJNrImoeGPhtZXMWt6sIpV3wS+JtQ0iCWNlaTS3GUYA/kD+LP7TH/BUP/gsb8Y7TQPFfif47ftWeOtVvt3h/4XeCdM1a98IeHRcTM8KaR4D8M20PhTw3YQPlU1K9tbcxqubnUWbc7AH9FH/BPz/gzX/aH+KA0Tx3+338U9P/AGfvCM4tr2X4SfDmTT/GPxXvrZxFOLPWvEDibwd4RkkUvb3MdufEt/bMT+6jlUKoB/br+w5/wSW/YF/4J36La2f7Mv7P/hTw94ojt44dQ+KXiWBPGHxW1l0zma+8ca5Hc6pbeYSxa00X+yNPXdsjslQAKAfo/QAUAFABQB4z+0H/AMkh8Xf9wD/1J9FoA9moAKACgAoAKACgAoAKACgDxn4N/wDNVf8Ass3jn/3F0AezUAFABQAUAFABQAUAFAHjP/Nwv/dGf/d3oA9moAKACgAoAKACgAoAKAPGf2g/+SQ+Lv8AuAf+pPotAHs1ABQAUAFABQAUAFABQAUAeM/s+f8AJIfCP/cf/wDUn1qgD2agAoAKACgAoAKACgAoA8Z8E/8AJXvjf/3TX/1GLugD2agAoAKACgAoAKACgAoA8Z+Mn/NKv+yzeBv/AHKUAezUAFABQAUAFABQAUAFAHGfEf8A5J548/7EzxR/6Y76gA+HH/JPPAf/AGJnhf8A9MdjQB2dABQAUAFABQAUAFABQB4z4J/5K98b/wDumv8A6jF3QB7NQAUAFABQAUAFABQAUAeM+Nv+SvfBD/upX/qMWlAHs1ABQAUAFABQAUAFABQBxnxH/wCSeePP+xM8Uf8ApjvqAD4cf8k88B/9iZ4X/wDTHY0AdnQAUAFABQAUAFABQAUAfk18R/8Akofjz/sc/FH/AKfL6gD/1/7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df8AuUoA9O/4SLw//bH/AAjv9uaP/wAJB5P2n+w/7Tsv7Y+z7d/n/wBmed9t8nZ8/m+Ts2/NnHzV2/2bmP1L+0v7Pxv9nc/s/wC0Pqlf6l7S/L7P617P6vz83u8vtOa+nLc5fr2C+tfUfrmF+u8ntPqf1ij9a5LX5/q/P7bktrzcnLbW5sVxHUFABQAUAFABQAUAcZ8R/wDknnjz/sTPFH/pjvqAPzA/4KeeO7rwR/wTVu7ezZ0n8b6N8KvAxZCVxaarFpt/fqzDokljpNxEwPD+ZsP3q/q/6FfD1LPvH/hipXUZU8gwOcZ+lJJ3rYTBSw+Gav8AahiMXSqJq7XJfTRn87fSnzqpk/g3n8KTannGLyzJrr/n3icUq9ZX0spUcLOL7qVnfY/JH/ghz8FPDvxE/aO8XfEbxJp0WpL8HPCdpq3htLgK8Fr4r8RX8mm2Oo+Uc757DTrbVJLVz/qbh4phh1Q1/cn0+OO8z4a8Mcm4YyvFTwr42zitg80lT5o1KuT5Zh4YrEYbnW1PEYmrhI1o6upTjKHwuTj/ACX9DvhHAZ7x7mmf5hh411wpltLE5ep2cKeZ4+tKhRr8ut50aFPEypv7NRxkrNJn9cFf42H+noUAFABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQB8O/tz/ts+Bv2N/hlc6zfz2ms/EzxDa3Vt8O/A4mX7VqV+F8v+2NTjQtJaeHtLkZZLy7dV+0yKtjah55HaD5birifC8N4GVWbjUxtWLjg8Lf3qk/+fk1e8aMN5Stq/djdt8v9PfRe+jRxR9IzjajluEp4jLeCsor0K/F/E7pv2GCwjfP/AGfgpSXJiM3x0IuGGoRb9hGTxVflpQXP/Dj8ff2lvC48SeIPjl+1J8UR4fs/EuvPqPinxTd21zq+rXD3Mm9tN8LeHLTffaxqEdsv2XRdDsVWKKOOL7VcWWnwXN7B/PeX4LNOL87cXOVXEYqo62KxEk3ChSv785b8sIR92nC+r5YK+rl/v/x3xp4Z/RM8GI4pYbDZVw7wtllPKuGOHsNKnDGZ3mapNYTAYdPllXxWMr3r4/FyVqcHWxNZq0Yz+dP2hv8Ag6y+JvgL4WWn7Nn/AATA+D2m/s4fDLRLSewPxk+JEGm+MPjP4qvblHj1PxTHo0Ym8H+F9U1acC+Sa5XxRfWYaK3SeH7MjV/TeU5VhMlwFDL8HDlpUY2cn8dWo/jq1H1nN6ve2iWiSj/zUeK/ijxV4x8dZ3x9xfjJYnNc4xDdOhGUnhcswFNyjgsrwMG7UsJgqLVOnFKPPLnrSXPUmo/hV8NfgL/wUx/4K/8AxwivfD+i/HD9qn4l+KtRuYrz4g+NNV1S+8NaUVAuNRa+8Z+JLi28K+HNOsIV+0XOn2d1bpbwqPs9gSURvSPzk/sI/wCCff8AwZieD9DGiePP+Ci/xnn8X6kot72f4FfA+7n0rw5DJtDvp3ij4l3trHq+qeXKuyeLwvp2lQSxs6x6q4w7AH9mv7M37Hv7MP7G/ge2+HX7MfwQ+H3wa8K28SRzW3g3QLSx1HVWTGbnX9edZtd1+8kcebJdaxqN7M0hZwy5IUA+k6ACgAoAKACgAoA8Z/aD/wCSQ+Lv+4B/6k+i0AezUAFABQAUAFABQAUAFABQB4z8G/8Amqv/AGWbxz/7i6APZqACgAoAKACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQAUAFABQAUAFABQAUAeM+Cf+SvfG/wD7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/uUoA9moAKACgAoAKACgAoAKAOM+I/8AyTzx5/2Jnij/ANMd9QAfDj/knngP/sTPC/8A6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/wDdNf8A1GLugD2agAoAKACgAoAKACgAoA8Z8bf8le+CH/dSv/UYtKAPZqACgAoAKACgAoAKACgDjPiP/wAk88ef9iZ4o/8ATHfUAHw4/wCSeeA/+xM8L/8ApjsaAOzoAKACgAoAKACgAoAKAPya+I//ACUPx5/2Ofij/wBPl9QB/9D+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAfmJ/wAFFP8AgopF+w9H4B0XRvAMXj3xn49i1PU7a21PU59H0PTND0ee2tbm4nubW1u7m5vbm5uVit7aNYkjSN5pZGDIlf1b9Gj6NEvHuXEeOx3Ec+Hck4dnhMLUqYXCQxuPxWPxtOrVpU6dKrVo0qVClSpOVSrOU5SlOMIQVpTP548d/HePg9HJMLhMkjnWbZ1HEYinTxGInhcHh8HhZ06dSpOpTpValSrUqVFGnTioqKjKUm7xR4R8Cv8AguJ+zj8QLix0f4t+HPEvwZ1e5MUL6tPjxT4O+0PgM8mpabbRapYWwOT5l3pBjjA+ec5Br9B8QPoD+J3DlKvjuDc0yvjjB0ueccHTvlOd+zjqlHC4qpPB4mq1py0cZGcn8NPU+L4N+mHwDnk6OF4nwGYcJ4qfLF4qp/wo5VzvRt4jDwjiaFNb3qYVpL4prc/YTwR4+8E/Erw7Y+Lfh/4q0Lxj4a1FN9lrfh3UrXVLCYYBKefayyLHMmR5kEuyaInEkanhf4qz7h3PeFszxGTcR5RmGSZphZWr4DM8LVwmJh2l7OrCDlCVvdqQ5oTWsZNK5/VGT51lHEGAo5nkmZYLNcvxC5qOMwGIp4ihPuuenKSjJac0Jcs47SinY+Xf27fjLo/7P/wW0/4uayEmi8GePvDurWGnswV9W1i2sdbl0vSoskZe9u4442wcrD5snIQ19V4VeHmaeKXHvD3BOVRmqmbY2CxmJjFyjgMrofvcxx9Te0MNhozkrq0qrpQ1c0fO+IfGmX+H3B+dcVZjKLhl2Fk8LQbSli8fV/d4LCQ7yr15Qi7aqmpy+yz+Tz9lC8+PH7Tf7d/w/wDFmheI9Zb4j6/8SYPHfiTxNHdXe3RvD2nammseIpZ3Vy0WjW+lpJpUFlzCyT2tnsO8Cv8AbPxgpeH3hV9HziPJ8flmCjwxl3C1Th3K8qlRo3xuY4nCSwWWRpxcOWeOqYtxxlSvpOMoVa7m3E/yq8M6vGniH4z5JmeDx+LefY3P4Z1mGYRqVbYXAUMQsVjnNqV44WGGTw8KV+RqdOlZ3al/cnX+BJ/sUFABQAUAFABQAUAcZ8R/+SeePP8AsTPFH/pjvqAPxu/4LBSMv/BO/wCGaKcLJ4s+EgceoXwlqzgfgwB79PoV/tz6AsU/HDEye8eC88a+eJyxP8Gfyl9MSTXhNRS2lxRlN/lRxzX4nzT/AMG/ca/2x+0rN/H/AGb8Oo8/7JuvE7fXqPX8q/bv2jc39S8LofZ+tcSz+fscqXft5fPoflP0IIr614gS6+wyGPy9pmL/ADR/S1X+Wp/oGFABQAUAFABQAUAeM+Cf+SvfG/8A7pr/AOoxd0AezUAFAH86P7bX/BWv4/fAX9qXxZ8Kvh/4R8HW/gz4c3thpl/a+KtJvrzUvGEs2n2moXGoJqMN7aNpthL9r8mw+xRMTFF5skkzswX8a4n8Qs2ynPsRgMHhsMsNgpwpzjiKc5TxLcIzlPnU4uEHzWhyrZXd7tH+w30Z/oBeE/ir4GZDx3xbxBxHW4j4xw2LxuEr5Dj8LhsHw9Cni8RhKOElg6mExUcZi6f1f2mL+tTiuefJCFOKTPXPhF/wXV+BfiKGxs/jD8PPGXw61V0jS+1PQBb+MPDYnJw0kaodP1yG3BO4qbC7kRRgNKRXoZd4q5VWUY5lg8Tg6milOiliKF+rWsaqXX4Jtf3tGfn/AIg/st/FHJ6mKxPh3xdw5xhgYynLDYHNvbcO5zKmtVCcpRxeWVK3RNYvDwk9WoaI9P8Aj5/wWt/Y7+F+iW9h8NPEmp/Gr4oa/ot3qXhvwd4Z8PeIbDSdPEIhjGoeOPFWsaZYaToOm21xcwpcWdpcajr91IRbWWlkyG5i+izHjnIcJlVXMcLjKONmrU6GFpy/ezrzT5I1IPknTguVynJxdoxaV3Zn8/8Ah79CHxy4o8Ucs8PeKeD844LwUufH51xHmGHjUyvC5Jha1Kni8Vl+OoSrYLH4qo6tOjg6FKtNyrVqcqkYwjNS/kh/bF/bE1DxDqPjb9o79ovxl5k8peU73xFBEN40nwp4V0sv8kSAraadp9tzndNOzMZ7ivwNvOeMM5+3isbi56Lalh6K+6NKhRj3/GTuf7uU6fhB9EbwdtfC8M8GcLYS85vklmme5pUhu9VWzTPM2rx0XvycnZeyoUrw/If4W/8ABM//AIKmf8Fr/iRY+NPhp8Dtc+HvwDtblrTwv4/+K7XngX4X6Dojyp52o2d5qVt/aXjPW7u3YXNy/hfSNVEhVbSGaGEK9f0Vwxw1hOG8CsPRtVxVW08XimrSq1P5Y9Y0oaqEdP5pXb93/ns+kt9I/iv6RnG9TPs2dTLeGcslWw3CfDEKrlh8qwEpv/aMRyvkxOa4yKjPGYq1lpQoqNGCUv67P+Cff/BoR+xB+zoNF8a/tf8AiHUv2wPibaeRdzeG7uK58IfBHTb1AS8MXhW0n/t3xXbq+0q/iXWI7SbbmTRkVtlfSn84H9KVp8Nvh78JvGf7PngX4X+CPCnw88GaJb/Ea10jwt4L0DS/DWg6fDF4Vso1W20vSLW0tI2KIoeQQ+ZKV3yO7ktQB9N0AFABQAUAFABQAUAFAHjP7Qf/ACSHxd/3AP8A1J9FoA9moAKACgAoAKACgAoAKACgDxn4N/8ANVf+yzeOf/cXQB7NQAUAFABQAUAFABQAUAeM/wDNwv8A3Rn/AN3egD2agAoAKACgAoAKACgAoA8Z/aD/AOSQ+Lv+4B/6k+i0AezUAFABQAUAFABQAUAFABQB4z+z5/ySHwj/ANx//wBSfWqAPZqACgAoAKACgAoAKACgDxnwT/yV743/APdNf/UYu6APZqACgAoAKACgAoAKACgDxn4yf80q/wCyzeBv/cpQB7NQAUAFABQAUAFABQAUAcZ8R/8Aknnjz/sTPFH/AKY76gA+HH/JPPAf/YmeF/8A0x2NAHZ0AFABQAUAFABQAUAFAHjPgn/kr3xv/wC6a/8AqMXdAHs1ABQAUAFABQAUAFABQB4z42/5K98EP+6lf+oxaUAezUAFABQAUAFABQAUAFAHGfEf/knnjz/sTPFH/pjvqAD4cf8AJPPAf/YmeF//AEx2NAHZ0AFABQAUAFABQAUAFAH5NfEf/kofjz/sc/FH/p8vqAP/0f7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQB8vftO/se/A39rnw9pWg/GLw5dX83h+W6m8O+IdF1CXR/EWiSXqIt0lnfxLIslrcGKCSeyvILm1d4Y38pW3M36z4U+NfH/gzmWMzDgnM6WHp5lClTzPLcdhoY3LcfGhKTpSrYabi4VqSnONOvQqUa0YzkueScVH868RPCzg7xPwOGwXFWAqV5YGVSeAx2ErzwuOwcqqSqKlXhdOnU5YOdKrCpTk4RfKn7x+D/AO0P/wAEIvGnh+1vtf8A2cfiLB43t7eOW4XwT45ig0XxDIqBpPs+ma/Z50e+m2DZFHfWultLIUXzSSWr/Qfw1/aC5FmNXD5d4ncM1Mhq1JwpPPuH51MdlsXK0fa4vLq7eNw8LvmnPD1sZyxTapH8YcdfQxzbA062N4Cz6Gb04RlUWUZzGGEx0rXl7PDY2l/staVlaMa1PDuUmlz7H5Y/Cz45/tU/sFfE3ULDQ7zxR8OPEOm3gi8U/DvxXZ3X9gaysTkGLV/D93stLqKTafI1SwKzEKr2t8VANf1vxbwB4RfSG4Vw+Ix9HKeJ8txVFzyniXJ69L+0cC5xup4LMqKdajOF/wB5hMQpQV3Gth+ZtH83cN8Y+JPgpxFXo4OrmOQ47D1VHMsizKlU+pYuMXrHFYGp+6qRlb3MRRtNWUqVd2Sl7L+3Z/wUb8bftsaB8MvDV74cj8C6D4Qs5dV8S6Dp9895p2ueO5pbu0GsW0kipcf2bZ6M0Men215umtrq+1NSZVWK5l+G+j99GPIPAnMeKs1oZlLiDMc4rwwmU5jisPCjisv4fhClV+p1Ix5qSxdbGe1eJrUHGFajQwvw3nSh9b4zePeceLmB4ey6rgVk2By2jLEZjgaFeVXD43OZTqU1iYOSVR4elhVD2FOq3KnVq1/itGcv2O/4Io/AfwB8NPhbq3xf1nxR4L1D4qfFMJb2mj2niPRL/WvCfgmyl32mnXtjBey3enalrV2p1LULaaCG5hgisbeYKyOlfxN9OvxB4i4p4twfBeBynPcPwjwi5VK2NrZZj8PgM4z7EQtWxNDEVKEKOKwuBof7NhqtOc6U6k8RUpys4n9V/RG4LyTh/hvFcUYvMcpr8S8S8sKeFpY/CVsXlmT0ZXpYerRhWlVoYjF1b4ivTko1IwjQhNLlZ+7YIIBBBB5BByCPUHv/AJ9a/wA+2mnZpprdPRn9mp31Wq8haQBQAUAFABQAUAcZ8R/+SeePP+xM8Uf+mO+oA/Gv/gsH/wAo8fhh/wBjb8Jf/UQ1ev7e+gJ/ye7F/wDZF53/AOpeWH8o/TF/5NRQ/wCyoyr/ANMY4+b/APg37/5Cn7Sv/Xh8Ov8A0o8UV+1ftG/918Lv+wjiX/03lR+V/Qg/3jxB/wCvOQ/+l5kf0r1/luf6BBQAUAFABQAUAFAHjPgn/kr3xv8A+6a/+oxd0AezUAYHijxX4X8D6DqXirxp4k0Lwj4Z0a3e81fxD4m1aw0LRNMtYxukuNQ1XU7i1sbOFACWlnnRBjk9KAP4zP8AgsV/wXz/AOCM1l/bvhfwb8PX/bY+P2n2cmj2njL4U38ngnwjoFzbLLHbxar8YPs+fEVtY3CeU9loej+J7cIgjiuooyjV8/nPDGS5772YYOE6/KoRxVNuliYxWy9rH4kuimpJLRW2l+9eEP0mPGbwPth+AeMMXg8meIlia3DeY04Zpw9XrVP4s3luKvChOpvUqYOrhqspNyc3Ntn8wP7NP/BRrxt+0T8UD4Ds/gJDbQ3r3N/9t8P+LJ57TwroaSAfa9duNX06M3MNsZI4POgMVxeTOiwWe9ii/knFHh/luRYKpmEM4nTpqXLSw+JoqpUq1JaxpUpUnHmlypu8o2SV5SVj/WL6MP09PELxw4zy/gDHeEWEx+YVcPLE5jxBw3nFXA5dlOBo8kK+a5rhM0o4tUcOqk4QjSw+MqVqtWpGnQozb5Y/q9b2t1dl1traa4kihkuJUt4pJzFBCu+eZ/LQssMKjdJKyqiKNzlRzX5WouTainKybdk20lq20tklq29F95/p9Vr0aEYSxFajQVSpToxdWrCEZVqr5adKEpuHPUnJ8tOCtOb0jG7setfAHxb8EPhl8VtB+J3xh/Zm+Gn7Ss3heRJ/C2m/E+TVb6x8H3+8GTWvDuhT3F74MbW2UbF1PW/CurX8cZ8m2vLaEBF+u4W4uq8MTqungMLioYiyrTlz08S4xd1GNe80or+T2ai3q7y1P5Q+k99FHKvpK4LK4Zjx1xRw3ish9tPKMJhvqmO4bhXrQUalfE5NKlhqtbFVEuV4x4916dP91Saor2R/T38J/wDgtf8Ash63pNlp/i3QPG3wfmtIYLSDSz4eh1/QLWCFBGkVjdeGAzQ2kCqEhjbSrcLEFVY1wFr9YwPijw/iIr63TxeAqaaSpe3p/KdLmdvWC+Wjj/ldxr+zJ8fMgxE3wpjuE+OMAlKUKuGzP+wsdZfDGpgs2hTpKbXSljqyvpdXTl9e6B/wUj/Ye8RxQy2f7RfgSzaYArBrkup6DcIT/DJHq+n2YRgeu44HYkHNfQ0uNeFqyTjnOEjfpVc6T+aqQjb5v5qzkfgObfQz+k7k86kMR4PcVYlU206uWQwWa0pW6wnl+Lr8y6q0fu+I7uD4rfDP4p/E74Iar8N/H3hHxzp4/wCFlb7nwvr+m6ysRPhi2wJ0sbmWS3Ztj7VnRCwViOAa93CZhgcfD2mCxeHxUP5qFaFS3qoNtfNI/EOKuAeN+BsU8FxlwlxFwxiU0lSzvKMdl3PfVezniqFOnVTXWnOa83a0fqWus+SCgAoAKACgAoAKACgDxn9oP/kkPi7/ALgH/qT6LQB7NQAUAFABQAUAFABQAUAFAHjPwb/5qr/2Wbxz/wC4ugD2agAoAKACgAoAKACgAoA8Z/5uF/7oz/7u9AHs1ABQAUAFABQAUAFABQB4z+0H/wAkh8Xf9wD/ANSfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j/wD6k+tUAezUAFABQAUAFABQAUAFAHjPgn/kr3xv/wC6a/8AqMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df+5SgD2agAoAKACgAoAKACgAoA4z4j/8k88ef9iZ4o/9Md9QAfDj/knngP8A7Ezwv/6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/wAle+N//dNf/UYu6APZqACgAoAKACgAoAKACgDxnxt/yV74If8AdSv/AFGLSgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgD8mviP8A8lD8ef8AY5+KP/T5fUAf/9L+5L/jIX/qjP8A5e9AB/xkL/1Rn/y96AD/AIyF/wCqM/8Al70AH/GQv/VGf/L3oAP+Mhf+qM/+XvQB5n/xeT/hcn/NM/8AhLP+FZ/9TV/wj3/CPf8ACU/+DL+2v7S/7cfsP/TxQB6Z/wAZC/8AVGf/AC96AD/jIX/qjP8A5e9AB/xkL/1Rn/y96AD/AIyF/wCqM/8Al70AH/GQv/VGf/L3oAP+Mhf+qM/+XvQAf8ZC/wDVGf8Ay96AD/jIX/qjP/l70AeZ/GL/AIXJ/wAK48Rf8JX/AMKz/sD/AIlH2/8A4R7/AISr+2P+Q7pf2X7J/aX+hf8AH79m+0ed/wAuvn+X+92UAemf8ZC/9UZ/8vegA/4yF/6oz/5e9AB/xkL/ANUZ/wDL3oAP+Mhf+qM/+XvQAf8AGQv/AFRn/wAvegA/4yF/6oz/AOXvQAf8ZC/9UZ/8vegA/wCMhf8AqjP/AJe9AB/xkL/1Rn/y96APM/g7/wALk/4Vx4d/4RT/AIVn/YH/ABN/sH/CQ/8ACVf2x/yHdU+1fa/7N/0L/j9+0/Z/J/5dfI8z97voA9M/4yF/6oz/AOXvQB/Ed/weqf8ACyP+FG/sL/8ACd/8IR9n/wCFsfFz+z/+ES/t7zvO/wCEQ8L+f9s/tj5PL2bPK8n5t+/fxigD1/8A4Myv+Fn/APDDX7Tn/CD/APCBf2f/AMNOr9r/AOEr/wCEh+2fa/8AhWnhH/j3/sj9x9n8rZ/rP3nmbv4dtAH9iX/GQv8A1Rn/AMvegA/4yF/6oz/5e9AB/wAZC/8AVGf/AC96AD/jIX/qjP8A5e9AB/xkL/1Rn/y96APM/C3/AAuT/hY/xT/s3/hWf9v/APFD/wDCSfbv+Eq/sf8A5AVx/Y/9h+R/pv8Ax5b/AO0vt/8Ay9bPsv7rdQB6Z/xkL/1Rn/y96AD/AIyF/wCqM/8Al70AH/GQv/VGf/L3oAP+Mhf+qM/+XvQAf8ZC/wDVGf8Ay96AD/jIX/qjP/l70AH/ABkL/wBUZ/8AL3oA/Hr/AILI6nL4a/Z+0u8+LHw5+C3ijxd4v19fCfgXxPpWmeKv+Eo8K3EdpLqeo6pZ6zNc2TRrb2MDx29ldy3ljNcXAMthMquV/uX6CGE4xzXxRxFDKOKMyyjhjJcsnnHEmU4fEKWEzmMqscLgsHUwVeNSh+9xNWM6+JpwhiadKlanWjKUOX+TPpeYnhjL/D6jVzLh/A5ln+aY+GWZHmNai1icslGEsRisTDFUpU6v7uhTcadCpKdCdSonOlJRal/Pr+z5+yT8Yv2mYddn+GOl6fcQ6Hq3h7w81zrN9/ZVjfeIfE73Q0vRbW/kgktVvXt7K5u5ftEkMUMCI8jr5qbv9M/Fvx64A8FqnD1LjTE42E+Iq+Ip4enl2FWOxGFw2GhermGJw0atOt9TVWVPD89KNSbqTtGnJRm4/wAG+G/g/wAY+KdPOqnC1DCyjklKjOtPHV3haOIr152p4OhXcJUvrLpqdZxqShFQim5LmipeheLP+Cff7cXwtupLi++AnxKi+zuVXVvB9v8A8JFAcfxRXnha7v5ApAJBYRnHIByTXnZP9I7wD4tpRpYfxD4Wl7VJvB51V/syor9J0c3o4eLa7Ln+Wx25n4HeMXDlSVSrwXxBH2bt9ayqH1+He8auW1a0kvl932uIs/iV+2Z8B72K/Txb+0J8M7i2bZE2qXvjrRbVShyU+zavtsZVBAyjQuhHXcGxXvVuF/A/xCoSw7yfw34qpVfeksJQ4fx1Z3ulL2uC5sRB66NTjJdJI8ilxB4s8GVo1lmfHPD9Sm7ReJrZxhaas9V7PFWoSSa1Uotd1rY/ph/4Jg/H/wDbH/aE+AmpeI/Hkng/WV0PxVPofh/xp4703XdO1jxZp62VrdTyh9AjgsNRj0y6nazOoLbRSSs3lSNKYdy/5I/TG8OfD7w38SsBlnh/GhgaGYZHTzDN8iw2JliKGT454mtRpxpqpUq1cNHF4eEa/wBWnUfI1zQUYzSl/pD9GTjfjPjngXF4/jJ1cVWweazweW5vXoRoVczwioUqk5T5IU4VpYetOVL28YLnvZtuLP0j/wCMhf8AqjP/AJe9fyQf0cH/ABkL/wBUZ/8AL3oAP+Mhf+qM/wDl70AH/GQv/VGf/L3oAP8AjIX/AKoz/wCXvQBzPjX/AIXp/wAIb4t/tf8A4VN/ZP8AwjOvf2p/Zv8AwmP9o/2d/ZV19t+wfav9G+2/ZvN+y/aP3Hn+X537vdQB+S//AAVotfiZN+wb4Ln1oeCT4Os/F3wvlsDpP9vf8JGtvL4f1O30k6h9sB0zzDBKgv8A7OQn2n/j3zGa/tn6A9aFPxyq05fFX4Nz2MPNwr5bUf8A5LFv+mfyr9MOnKfhLCaXu0uJ8oc/JSpY2Cf/AIE0vns73j8u/wDBCnUPHC+JP2hdK8CyeCxfSaJ4F1C+i8XPrOWtIL/X7ZJLCPRz5hEc1wFuXmBRfMgCkM2G/d/2jWGqPKvC/GKMvYxzDiPDSlyvlVSphssqwi5fCpSjTm1Fu7UZNXsz8h+hDXprMOP8NzL2ssHkldRuuZ04VsdTlJR3aUqkU3ayckne6P6MP+Mhf+qM/wDl71/lef6EB/xkL/1Rn/y96AD/AIyF/wCqM/8Al70AH/GQv/VGf/L3oAP+Mhf+qM/+XvQAf8ZC/wDVGf8Ay96AD/jIX/qjP/l70AfI3xR/aS0b9l2++MXxK+O3xf8A2c/g5o2nReDJvFniH4l+JNY0Dw9L5OgznSofCcMky6zq159hZv7QsYrW9vZLpoxY27Rk0Afyw/tx/wDB5ToPw+n13wL+xP8ADPwZ8adfg+02MPxe8YaP4y8OfDm2uB5sH27QvDd9q2neKfEiQyBZ7aXUYNBsblNpKzRPhgD+RT9on9vb/gqH/wAFevihZ+EvH3j74x/H7W9e1DHhn4GfC3R9Xj8Eaa91Mixw6P8ADTwdAdMS3ikKj+0dXt725hGZLnUiNz0Aftj+wv8A8Gev7cfxxtNG8cftbeK/CP7Lfgy8Fvdv4Dmvj4o+MV7aSDeYLuw0my1Lw14SnOPLkTVNSvr+Dfl9MDKVoA/qU8Hf8G5PwD+CXwSj+Gn7Onhf4afDvx39ustQ1n40azq/jrxV8QPGv2SC4iOleKtS1CBrVNDMt1Le2+l6DpmkWVneLHLHbvtWvleLeGYcT4CnhfrDw1bD1vb0Krjz0+ZxcJRqQTTcZRejV3FrbVn9QfRT+kjivo1ceZhxM8gjxJk2f5R/YueZZDExwWO9hTxNLGYbE4DFzpVqdOvRr0rSp1afs61Ock5RcYs+6v2MP+CcHiL9kXTtav0X4M/ETx/4mtn0/V/FXiay8UXUdlo0g2y6FodibSOC10+7wG1GWWN7q/OIZnFsghbk4W4LwPDtGpKq4Y7HV04VcROmuSNJ70aMJc1oSXxt6z2d0uWP1v0oPplca/SEzXAYXLaeN4J4HyStDF5Xw/hMynPGYnMoaxzbN8dho4dV8XQbccHSpKFDCL95DnrSc40/jd/wSn+H3xtvbrWp/Afwj+HXiK7Ezz6x8Mr7xp4aSe5mO43V1ob2t74fnlDdWXTYWYcHk5V5rwDw3mkpVHhHgq8r3q4GXsU5PXmlStKlJ+agvmR4YfTx+kR4ZUMPlsOKKXGWS4d04wy3jTDyzepToU1b2GHzVVaGa0YNbc2LrpOz5Wkkfn/4p/4IK/F+OeeTwX8Z/hzdWoGbe18SW/iS0uyf7j3enaJcwN2AcW0QPJKr0r4XGeEldSbwGb0pw+zDFUJwn6OdJyi/Xkj8j+3eE/2reRVMNRp8ceFOa4bGXtiMTwvneExeEtp79PCZpSwtaN9bweLnbRKUtWeBa1/wRN/bV0ySYadb/C7xDFGxEcmm+OvsrTKMYZYtZ0nTCmeRtdgQfXIK+FV8MOJoN+zWBrJbOGK5Lr0nTj6W0+dmfuWV/tMPo2Y2FN46pxvk9SaTnDFcM/WI0pPeLqZfjsYpW3vGDWvU+S/E/wCyp+2X+zj470O0n+GnxR8JeL7y/ki8Lax4Ij1K/OqXVoY/NbRda8JzXcc6xrMhmXz02wyHz41jZg3gVeHuKMmxELYDMcPWc+WnWwqqTjOV9OSrh3OLu+8o+mlj93yjx9+jN4w8O4uT458P89yeOFnWzHKeKquAwdbC0JQvU+tZXxBGhWhJQveVOjLX4JtpH9fPwL/4a8/4U58M/wDhZP8Awq7/AITv/hDdD/4Sj+3v+Eq/t3+1fsUXnf23/Z3+hf2xt2f2n9n+T7d5+fn31/S+S/Xv7Jy/+07/AF/6rR+tX+L23J73N/f25/7/ADX6n/Nx4xf6kf8AEU+Pv+Ib8v8AqL/rRm3+q/s+b2P9lfWZex+rc/vfVL8/1Tp9W9ly+7Y9X/4yF/6oz/5e9emfmwf8ZC/9UZ/8vegA/wCMhf8AqjP/AJe9AB/xkL/1Rn/y96AD/jIX/qjP/l70AH/GQv8A1Rn/AMvegA/4yF/6oz/5e9AHmfxi/wCFyf8ACuPEX/CV/wDCs/7A/wCJR9v/AOEe/wCEq/tj/kO6X9l+yf2l/oX/AB+/ZvtHnf8ALr5/l/vdlAHpn/GQv/VGf/L3oAP+Mhf+qM/+XvQAf8ZC/wDVGf8Ay96AD/jIX/qjP/l70AH/ABkL/wBUZ/8AL3oAP+Mhf+qM/wDl70AH/GQv/VGf/L3oAP8AjIX/AKoz/wCXvQAf8ZC/9UZ/8vegDzP4af8AC5P+Lgf8I9/wrP8A5Kb4q/tz+2f+Eq/5GH/QP7T/ALK+xf8AMG/1H2H7X/p3+t+0fwUAemf8ZC/9UZ/8vegA/wCMhf8AqjP/AJe9AB/xkL/1Rn/y96AD/jIX/qjP/l70AH/GQv8A1Rn/AMvegA/4yF/6oz/5e9AB/wAZC/8AVGf/AC96AD/jIX/qjP8A5e9AHmf/ABeT/hcn/NM/+Es/4Vn/ANTV/wAI9/wj3/CU/wDgy/tr+0v+3H7D/wBPFAHpn/GQv/VGf/L3oAP+Mhf+qM/+XvQAf8ZC/wDVGf8Ay96AD/jIX/qjP/l70AH/ABkL/wBUZ/8AL3oAP+Mhf+qM/wDl70AH/GQv/VGf/L3oAP8AjIX/AKoz/wCXvQB5n8Yv+Fyf8K48Rf8ACV/8Kz/sD/iUfb/+Ee/4Sr+2P+Q7pf2X7J/aX+hf8fv2b7R53/Lr5/l/vdlAHpn/ABkL/wBUZ/8AL3oAP+Mhf+qM/wDl70AH/GQv/VGf/L3oAP8AjIX/AKoz/wCXvQAf8ZC/9UZ/8vegA/4yF/6oz/5e9AB/xkL/ANUZ/wDL3oAP+Mhf+qM/+XvQAf8AGQv/AFRn/wAvegDzP4O/8Lk/4Vx4d/4RT/hWf9gf8Tf7B/wkP/CVf2x/yHdU+1fa/wCzf9C/4/ftP2fyf+XXyPM/e76APTP+Mhf+qM/+XvQAf8ZC/wDVGf8Ay96AD/jIX/qjP/l70AH/ABkL/wBUZ/8AL3oAP+Mhf+qM/wDl70AH/GQv/VGf/L3oAP8AjIX/AKoz/wCXvQAf8ZC/9UZ/8vegDzPwt/wuT/hY/wAU/wCzf+FZ/wBv/wDFD/8ACSfbv+Eq/sf/AJAVx/Y/9h+R/pv/AB5b/wC0vt//AC9bPsv7rdQB6Z/xkL/1Rn/y96AD/jIX/qjP/l70AH/GQv8A1Rn/AMvegA/4yF/6oz/5e9AB/wAZC/8AVGf/AC96AD/jIX/qjP8A5e9AB/xkL/1Rn/y96AD/AIyF/wCqM/8Al70AeZ/Ev/hcn/Fv/wDhIf8AhWf/ACU3wr/Yf9jf8JV/yMP+n/2Z/av23/mDf6/7d9k/07/VfZ/46APTP+Mhf+qM/wDl70AH/GQv/VGf/L3oAP8AjIX/AKoz/wCXvQAf8ZC/9UZ/8vegA/4yF/6oz/5e9AB/xkL/ANUZ/wDL3oAP+Mhf+qM/+XvQAf8AGQv/AFRn/wAvegDmfGv/AAvT/hDfFv8Aa/8Awqb+yf8AhGde/tT+zf8AhMf7R/s7+yrr7b9g+1f6N9t+zeb9l+0fuPP8vzv3e6gA8Ff8L0/4Q3wl/ZH/AAqb+yf+EZ0H+y/7S/4TH+0f7O/sq1+xfb/sv+jfbfs3lfavs/7jz/M8n93toA6b/jIX/qjP/l70AH/GQv8A1Rn/AMvegA/4yF/6oz/5e9AB/wAZC/8AVGf/AC96AD/jIX/qjP8A5e9AB/xkL/1Rn/y96AD/AIyF/wCqM/8Al70AH/GQv/VGf/L3oA8z8Lf8Lk/4WP8AFP8As3/hWf8Ab/8AxQ//AAkn27/hKv7H/wCQFcf2P/Yfkf6b/wAeW/8AtL7f/wAvWz7L+63UAemf8ZC/9UZ/8vegA/4yF/6oz/5e9AB/xkL/ANUZ/wDL3oAP+Mhf+qM/+XvQAf8AGQv/AFRn/wAvegA/4yF/6oz/AOXvQAf8ZC/9UZ/8vegA/wCMhf8AqjP/AJe9AHmfin/hcn/Cx/hZ/aX/AArP+3/+K4/4Rv7D/wAJV/Y//ICt/wC2P7c8/wD03/jy2f2b9g/5et/2r91toA9M/wCMhf8AqjP/AJe9AB/xkL/1Rn/y96AD/jIX/qjP/l70AH/GQv8A1Rn/AMvegA/4yF/6oz/5e9AB/wAZC/8AVGf/AC96AD/jIX/qjP8A5e9AB/xkL/1Rn/y96AOZ8a/8L0/4Q3xb/a//AAqb+yf+EZ17+1P7N/4TH+0f7O/sq6+2/YPtX+jfbfs3m/ZftH7jz/L8793uoAPBX/C9P+EN8Jf2R/wqb+yf+EZ0H+y/7S/4TH+0f7O/sq1+xfb/ALL/AKN9t+zeV9q+z/uPP8zyf3e2gDpv+Mhf+qM/+XvQAf8AGQv/AFRn/wAvegA/4yF/6oz/AOXvQAf8ZC/9UZ/8vegA/wCMhf8AqjP/AJe9AB/xkL/1Rn/y96AD/jIX/qjP/l70AH/GQv8A1Rn/AMvegD88/Gv9o/8ACZeLf7X+xf2t/wAJNr39qf2b5/8AZ39o/wBq3X237B9q/wBJ+xfafN+y/aP3/keX537zdQB//9P+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQB4j8ff2d/hN+014El+HXxh8Mp4j8Om9h1OzMV1cadqmk6nbq8cWoaTqdo8d1ZXQimlhcozRzQyPHNFIu0L974deJfGPhVxBHibgrNZZZmfsKmErqdGnicJjMJVcZTw2MwtaM6VelzwhUjzR54TgpU5walz/ACHG3AvDPiFkssh4qy9Y/AOtDEUuWpOhiMNiIJxjXw2IpONSjUUZSg2m4yjJqcZJpHjOjfs7fCX9mXwJ8Jfh18HvDKeHPDw+OfgzU7xpbq41HVNW1K4XUY5NQ1bVLt5Lq9ufKiihjLsscMMaxwxRqWDHiL4l8Y+KvEEuJuNc1lmeZewp4SgoUqeGwmDwtNylHDYPCUYwpUKXPOVSXLHnnOTlUnNuPIcE8CcMeHuTRyLhXLlgMAqssRV5qk6+JxOImkpV8ViKrlUrVOWMYpuXLGMUoQgrqX2pXwR9eZ2p6RpOt2r2Os6Xp2r2UmRJZ6nZW1/auDwQ9vdRSxNkcHcvPfp83ThcbjMDVjXwWLxODrxd41sLXq4erFrZxqUZQmmvKS8rbmGIwuGxdN0cXhqGKpSunSxFKnWpu+94VYTi79bol0/TtP0mzt9O0qxs9N0+1Ty7Wx0+1gsrO2jyT5dva2yRwQpkk7I0VcknnJNTicTicZXqYnF4ivisTWlzVcRiatSvXqytbmqVaspVJyskrylJ2Vr6LmqhQoYalChhqNLD0Ka5adGhThSpU4/ywp01GEVe+kUl95crA1CgAoAKACgDjPiP/wAk88ef9iZ4o/8ATHfUAfH/AO1h8GG+PX7BHiv4fWlst1rb/CPw/wCJPDKMu5v+Ei8J6Np2v6asQHPm3LWMlim3DH7UQM5xX7V9HjjheHnjHwNxHWqypYCOb08rzVrb+zM4Ty7FOV2ly0liI4h329lfS14/lnjVwm+NfDLizI6dNVMW8tqY/L1a7+v5a/ruHUVo+ao6MqKtq/aW1u0fzHf8EofjmPgX+2R4Hh1i7Nh4a+JaXXwx8Rid/Jghn1ySI6Dc3W7Zt+yeIrawjJYZRJ5QQuSa/wBcvpgcAPxA8Ec/ngqKxGacLSo8V5Z7OPtKlSngIzWY0qLje/tssq4ieifM6cLW0P8ANz6NHGS4N8Vsnhiqjo5fxAqnD2P53yQhPGSj9SqVL2t7LHU6MdVopy2sz+2Sv8Iz/XYKACgAoAKAPg/9tH/gpn+w/wD8E/fDM/iL9qb9oHwT8Pr4W0txpfgWK/TX/iV4iaOPzVt9B8BaL9r8RXcky48meaztrDPMl7GoZqAP4mf+CgP/AAecfFPxf/bfgT/gnj8G7P4X6HIbmyh+NnxltrPxH45uYd0kQv8Aw54AtZ5vDOgNNCwlt5ddvPEF1byKjtZROGRQD+YTwz4B/wCCnH/BZD4631/pGmfHr9sL4raxeQy614i1CTUdV8PeGo3VLaKbVNavZLPwV4I0m1tkCRwGbSraO0gZLaBxEUYA/rM/4J9/8GYFxL/Ynjv/AIKOfGoW6f6PeXHwH+BF6JJiOTJpvin4pX1qY0yNqzReEdLcg7lh1wZElAH9pn7Jv7B37If7Dfg6DwR+yz8Bfh/8I9LWCOG/1PQNGhl8V6+6oivc+JPGF+LrxLrtxOyebK2o6nNH5rMYoolO2gD65oAKACgAoAKACgDxnxt/yV74If8AdSv/AFGLSgD2agAoAKACgAoAKACgAoA8Z/aD/wCSQ+Lv+4B/6k+i0AezUAFABQAUAFABQAUAFABQB4z8G/8Amqv/AGWbxz/7i6APZqACgAoAKACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQAUAFABQAUAFABQAUAeM+Cf+SvfG/wD7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/uUoA9moAKACgAoAKACgAoAKAOM+I/8AyTzx5/2Jnij/ANMd9QAfDj/knngP/sTPC/8A6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/wDdNf8A1GLugD2agAoAKACgAoAKACgAoA8Z8bf8le+CH/dSv/UYtKAPZqACgAoAKACgAoAKACgDjPiP/wAk88ef9iZ4o/8ATHfUAHw4/wCSeeA/+xM8L/8ApjsaAOzoAKACgAoAKACgAoAKAPya+I//ACUPx5/2Ofij/wBPl9QB/9T+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAJ8OlDfDvwIrAMreC/DCsrAEMDodiCCDwQRwQeCODTTaaabTTumtGmtmn0aYNJppq6ejT2a7Pff0+8/iP/AOCg/wAGrn9mj9sr4l6DoKvpelz+I7X4keBpYCy/ZNM8STf29Yi3fACnS9U+12cewYjNmoAXG1f9/vo38b0vFPwQ4WzHMWsXioZZW4Xz+FSz9ti8sh/Z+I9pHqsXhPY15c1+ZV27u7Z/jd448KVPD7xYz/B4JPD4eePp8QZPKF4+yw+Pn9doqD1SeGxPtaS5dI+yS02P7I/2Vfi/B8ef2d/hF8WI5Fe68X+C9Iu9YVXDmHxBaQ/2dr8LkfdePWLS8BQ4KggHPWv8R/F3gup4eeJfGfB8ouNLJc8xlHBNx5efLq0/rOXVFvdSwVahqtG77bH+rXhtxTDjTgThfiaLTqZplGFq4pJp8mNpw9hjYPazjiqVZWavbtdH0DX5wfbgSACScAcknoB6np0+v5UAfjD+3/8A8F8P+Cbv/BPGDVdE+Jvxp0/4kfFuwil8j4K/BmWy8deOPtgjcw22vTWN2nh/wgkksZhlk8RavZTwtk/Y3YbGAP4df+CgX/B3R+3j+0ydb8Ffsq6Xpf7HXwtvTcWsOq+HriLxR8atU092ISS98b31umneGriSJmSWLwrpNtPHkeXq7EB2APyl/ZE/4JP/APBUH/gq/wCN5/HHw++GPxG8bad4k1DzvE37Rfxu1bWNI8ENJMxmlvLvx74tM974mmCPJJHa+HotduWK+SkSEoFAP7Vv+Cf3/BnT+yV8FDonjj9uHx/qv7Unjy1NveS/Dvw79u8EfBawu42Ehtr1IZE8X+MYBkxSi+v9EsZ9oLaayFloA/p8/Zw+Dfwn+A/ij4r/AA3+C/w58GfC3wFoFv8ADG10jwn4F8Pab4b0Szij8L3gBSy0y3t45JmJZprmcSXM8jNLNLJI7soB9YUAFABQAUAFABQAUAFAHjPjb/kr3wQ/7qV/6jFpQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z+Df/NVf+yzeOf/AHF0AezUAFABQAUAFABQAUAFAHjP/Nwv/dGf/d3oA9moAKACgAoAKACgAoAKAPGf2g/+SQ+Lv+4B/wCpPotAHs1ABQAUAFABQAUAFABQAUAeM/s+f8kh8I/9x/8A9SfWqAPZqACgAoAKACgAoAKACgDxnwT/AMle+N//AHTX/wBRi7oA9moAKACgAoAKACgAoAKAPGfjJ/zSr/ss3gb/ANylAHs1ABQAUAFABQAUAFABQBxnxH/5J548/wCxM8Uf+mO+oAPhx/yTzwH/ANiZ4X/9MdjQB2dABQAUAFABQAUAFABQB4z4J/5K98b/APumv/qMXdAHs1ABQAUAFABQAUAFABQB4z42/wCSvfBD/upX/qMWlAHs1ABQAUAFABQAUAFABQBxnxH/AOSeePP+xM8Uf+mO+oAPhx/yTzwH/wBiZ4X/APTHY0AdnQAUAFABQAUAFABQAUAfk18R/wDkofjz/sc/FH/p8vqAP//V/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgD8Cv+C9HwHlv/D/wq/aJ0izeRtAuLj4ceMZoYhti0/U5JdU8MXt06qW2x6gup6erOQoa8t4wSWVa/wBL/wBnn4hQw+ZcX+GmNrxisxpU+J8khOessThIwwma0KUW0rywzwuJcYpu1CrLRKR/CX00uC5V8Bw1x3haLk8DUqZDms4R0jh8Q5YnL6tRrW0a6xFG8nZOrCOt0P8A+CHv7Uvh2z+GfxM+A/j7xLpegRfD+4uviT4c1LxBqVnpWl23hPU2hh8Txy6jqFzb29tBpOrCHUJWleOGKHVJJCyqjs3F+0F8NKuDz7h3xSwGHbwecYaHD2e1IRb9nmWBjOplmIq2ilFYnBc+HUpN3nhIxvrE6foZcd08Vk2deH+Mr/7VlleedZRCbX7zAYtxhjqVO8rt4fFctZxS0jiJStFKXN5z/wAFA/8Ag6l/4Jx/scHW/B3wj12+/a/+MOnG4tB4d+EV3bJ8PNK1OIywmPxD8UbxH0V1trhF+02/hi28RXBQOqmN8Gv83T+5D+Hr9vr/AIORf+Cm37f9xqngmx+IU37PXwk1+d7C2+EX7Pz6poN3qtpdukcOm+IfG0cr+NvFE0rbUNvDe6dY3EjbV0sZC0AW/wBgL/g2v/4KZ/t9z6X421jwFJ+zh8Itdmj1C4+K/wAfodT0TUtXs7xmll1Lw54EkiPjTxJLMdzi5urTSbCeRw76oQ26gD+4r/gn5/wazf8ABN79jH+w/GPxP8NXn7XXxj00294fFXxjtLV/AmlanE0cyzeHPhdamTw+i206t9nuPEcviK7MYRmeJwRQB/SVpOkaToGmWOi6FpenaLo+mW0dnpuk6TZW2naZp9pCu2G1sbCzihtbS2iUbY4LeKOJF4RFHFAGjQB4z4J/5K98b/8Aumv/AKjF3QB7NQAUAFABQAUAFABQAUAeM+Nv+SvfBD/upX/qMWlAHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn4N/81V/7LN45/8AcXQB7NQAUAFABQAUAFABQAUAeM/83C/90Z/93egD2agAoAKACgAoAKACgAoA8Z/aD/5JD4u/7gH/AKk+i0AezUAFABQAUAFABQAUAFABQB4z+z5/ySHwj/3H/wD1J9aoA9moAKACgAoAKACgAoAKAPGfBP8AyV743/8AdNf/AFGLugD2agAoAKACgAoAKACgAoA8Z+Mn/NKv+yzeBv8A3KUAezUAFABQAUAFABQAUAFAHGfEf/knnjz/ALEzxR/6Y76gA+HH/JPPAf8A2Jnhf/0x2NAHZ0AFABQAUAFABQAUAFAHjPgn/kr3xv8A+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPjb/AJK98EP+6lf+oxaUAezUAFABQAUAFABQAUAFAHGfEf8A5J548/7EzxR/6Y76gA+HH/JPPAf/AGJnhf8A9MdjQB2dABQAUAFABQAUAFABQB+TXxH/AOSh+PP+xz8Uf+ny+oA//9b+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAeW6z8b/g9+z78B/C3xG+OHxO8D/CjwLo/gXw5cah4p8e+JNL8NaRCkGgWUkiR3OqXNuLq52DKWloJ7uU4WKCViq0Afx+/8FZP+Drr9h3Vvh18Qv2av2YPhjr37Uz+KrOTQNY+JmsvceA/hjorR3UbprXhQ3lpL4q8Uajp0sUWoaRdR6dommSXECBr6aB2r7Xw542zLw6434b4zyqclishzPD4uVOL0xOEUuTG4OorxUoYrCzrUZKT5ffTduVc3yvG3CuB424VzzhfMIxeHzfAVsMptJvD4hx5sLiYaSanh8RGnVTiub3bK93y/jz8QdE0b9pf9nbXdL8ParNHpfxR8CLd6FqFndvDtnvLaLUtKS4kgdFkhj1CG3hv7eXfCwSWOVG2gV/vPxzw9kHj54N47L8JUpYjL+MeHaOaZDjHyz+q5hKhHG5ViFLVRqYbFqFKvbWK9tBp6xP8geEs6zjwd8T8JjMTCpQxvDGd1cvzfDe9H6xglVlhcwotaOVOvhnKpSuvefspWVly5P8AwTs/4NIP20v2qrHwz8S/2m/GPhr9ln4Ma7BZavYwxy2Pjz4seKNBuwJYbrRvD2l3T+H9BivbV4rmzvPEWsed5Uiu2jtkpX/PlmmWY3JsyzDKMyoTw2YZZjMTgMbh5pqVHFYStOhXpu6i/dqQkk7K61WjP9nMvx+FzTA4PMsDVjXwePwtDGYWtBpxq4fEU41aU1Zte9CabV9HppZn9yf7An/BB3/gm7/wTxt9L1j4UfBDS/HfxWsYYxP8avjDHa+PfHz3YRBNc6K2o2w0Pwkjyx+bFF4a0jTpINwU3UxXe3Adh+yFABQAUAFAHjPgn/kr3xv/AO6a/wDqMXdAHs1ABQAUAFABQAUAFABQB8e/tW/GXwn+z8/gn4veNbgQ6D4L0X4o6lJCGCz6lft4ZsrfSdHtAeXvNV1Ka1sLdVDEPPv2sqMK+08PeBs68SOMci4MyGjKpmGd42nh/acrlTweFT58XjsQ1pChhMPGpWqSk4r3VG/NKJ8vxpxZlfA/DGb8UZxVVPB5VhZ1uS6U8TXa5cNhKKbTlWxNZwpQUbtXcrOMZOP8vfwB/as/bC+P/wC3T4C8UeFPHvjG68ReMviRZTTeEYNb1FvBumeB/wC0luNY0a40MynSIvD+leGkuYZJZrZP9UsrOLhw1f7MeIvhD4K+HP0f+Ispzfh3I6WWZJwviKcM5q4DDLO8Vn/1Z08FjqePVP69PMsXmrpVIRp1ZfG4L9ypI/y/4I8SvFTjfxlyXMctzrNamOzXP6Up5XDF13lOHyb6xz4rC1MH7T6rHBYbAKcZSlTXwqbfO4839o1f4Zn+tAUAFABQAUAFABQB4z+0H/ySHxd/3AP/AFJ9FoA9moAKACgAoAKACgAoAKACgDxn4N/81V/7LN45/wDcXQB7NQAUAFABQAUAFABQAUAeM/8ANwv/AHRn/wB3egD2agAoAKACgAoAKACgAoA8Z/aD/wCSQ+Lv+4B/6k+i0AezUAFABQAUAFABQAUAFABQB4z+z5/ySHwj/wBx/wD9SfWqAPZqACgAoAKACgAoAKACgDxnwT/yV743/wDdNf8A1GLugD2agAoAKACgAoAKACgAoA8Z+Mn/ADSr/ss3gb/3KUAezUAFABQAUAFABQAUAFAHGfEf/knnjz/sTPFH/pjvqAD4cf8AJPPAf/YmeF//AEx2NAHZ0AFABQAUAFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPjb/kr3wQ/wC6lf8AqMWlAHs1ABQAUAFABQAUAFABQBxnxH/5J548/wCxM8Uf+mO+oAPhx/yTzwH/ANiZ4X/9MdjQB2dABQAUAFABQAUAFABQB+TXxH/5KH48/wCxz8Uf+ny+oA//1/7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df8AuUoA9moAKACgAoAKACgAoA+PP2uP2/v2PP2FfCE3jP8Aan+PngD4T2S28k+n6JrOrxXXjLxAyRtIlt4c8F6b9s8Ta1POU8uH7FpksG9l82eJctQB/E5/wUZ/4PLL/wAUaZ4t+Fn/AATz+Cg0nSNWsdU0GX46/HK2SfVZ7O+hks5L/wAKfDLT7prSwaS2mk+z3HirVLuWN9kkmjIQUUA/lMk1P/gpv/wV8+LunaLHJ+0J+2D8QYxa6fpWi2SavrnhjwfYQRCG0gt7KD7J4H8C6TZ2u2ITyjSLZbeMGaaQqWYA/qV/4J8/8GY/xC8T/wBiePf+Civxjtvh9o7/AGe9l+BnwVu7XXPF9xFuSQ6f4n+It1bzaBohliPl3EHhyw1u5gkVkTUo2AdQD9CP+Cl//BOj4MfsBx/A3Q/2a/CV34P+Cmo+EbrwtbaPdavquvy2virw3cfary8u9X1m7vb26vtfstSjv7gtJFD9otrk29tBHiNf9gvoBeI1TP8AgHPOAcfXdXGcF46GKyxTm5VP7Dzd1JqlFPanhMfTxEYpXUY4iEekVH/ND6Y/BMMn4wynjDB0VTw3FGElh8c4RtD+1stUIuo7LWpiMHOjKTurujJ2fvSP2/8A+CMX7Qln8Vv2WLL4aanrMV141+Cuo3PhyfT5XAvh4NvJWvfCt6EY+ZPawpNdaR5670iewjhdlLRpX8nfTi8N6/CHi5X4pwuCnSyLjrDUszp4mEX9X/tuhBUM3w7kvdhWm4UcZyPlc44iVRLSTP6L+ibxzS4l8N6PD+Ixcaub8I155fOhKX77+yqsnVy2tyv3p04qVXDc6clF0Ixe8T9fa/i4/qQKACgAoAKAPGfBP/JXvjf/AN01/wDUYu6APZqACgAoAKACgAoAKAPzd/4Kcfth+Pf2Ofgp4e8V/Dbw/p2q+KvGXi1fC9nq+t2k19onhuKPTrrU5r67s4ZIRc3VyLcWthDNMsJdpmdXKIF/qD6Kngpw9428d5lk/FGY4rCZRkeTSzatgsvrU8Pjs0nPE0sLToUq84VfY0qTq+1xE4UpVLezinDmcj8C+kN4qZ14VcI4HM8gwNDE5lmuZrLqWKxlKdbB5fFUKmInWq0oSh7SpUVNU6EJzjBvnb5uVI/lk/ag/b5/aG/a70Pwz4c+Luq+HH0fwrqF/qen2fhjQV0CO5u9QhtIZH1MR3VwL1bdbSNrRH2rBI8rgFmQr/rN4VfRt8L/AAczjHZ9wdgMy/tTH4JZfPFZvmH9pTw+G9p7WpDBuVGk8NKvJQVeUW3UhCEHomf5y+Ifjnx/4nZZhMn4mxmB/s/CYp4yOHy3BfUY16/J7OnLE8tWarKinJ0YyVoSlKS1OG/Zl/av+JP7JniTWPGXwn0zwT/wlms6cNHfxB4p8PP4gv8ATtKaTzbmx0hZb+C0sEv5Eha+mjtjdzrBFD9pW38yF/pvFTwg4W8YsrwWR8YYrPv7HwWKeNWXZRmUcuw+JxajyUq+MccNVrYiWHi5qhTdVUYOpOp7KVTknDwfDzxL4g8Mcwxea8M4fJ/7TxdD6q8dmWBljq1DDOXNUo4ZOvClRjWkoutNUnVmoRh7RQvCX24P+C237cAIJ1P4YEAgkH4fwAH2JGpZGenHPpX4O/oH+Adn/svFiff/AFjnp564Rr7195+vL6XvjD/0EcOPy/sOOvl/vC/P7j+lr9hP9ozxD+1R+zV4I+MPivw7B4a8R6tNrOk6vaWSTx6ZfXmg6jLp0mr6THcM8sen6kIhNHG0soil86NJCioK/wAtfpBeGWW+Efiln3BWT5lVzTLMHDA43BVcQ6csXh6GYYaGJjgsZOkoQniMLzuEpqFPnh7ObgpOR/oL4NceY7xI8P8AJ+KsywEMvx+KlisNiqVFTjh61XBV50JYrDRqNzjQr8vPGLlPllzxUmoo+wK/FT9SCgAoAKACgDxn9oP/AJJD4u/7gH/qT6LQB7NQAUAFABQAUAFABQAUAFAHjPwb/wCaq/8AZZvHP/uLoA9moAKACgAoAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1ABQAUAFABQAUAFABQB4z4J/5K98b/APumv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df+5SgD2agAoAKACgAoAKACgAoA4z4j/wDJPPHn/YmeKP8A0x31AB8OP+SeeA/+xM8L/wDpjsaAOzoAKACgAoAKACgAoAKAPGfBP/JXvjf/AN01/wDUYu6APZqACgAoAKACgAoAKACgDxnxt/yV74If91K/9Ri0oA9moAKACgAoAKACgAoAKAOM+I//ACTzx5/2Jnij/wBMd9QAfDj/AJJ54D/7Ezwv/wCmOxoA7OgAoAKACgAoAKACgAoA/Jr4j/8AJQ/Hn/Y5+KP/AE+X1AH/0P7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df8AuUoA9moA8W8HftGfAj4g+ONa+G3gj4s+BfFHjzw/9p/tfwto3iCyvdWtfsT7LzbBE2Lr7IwIuvsb3H2cKxm2qrMvmYbOcqxmKqYLC5hha+Lo83tKFOrGVSPLpKyT97l+1y81uuzZ+k8ReDvinwlwxlvGfE3APFGR8K5t7H+z88zHKcThsBX+sR5sPzVZwTofWE06H1lUvbXSp3bUT2mvTPzYKACgD8mv28v+C23/AATo/wCCd1lqFn8dPj1oOr/Ei1hke1+DPwxkg8e/E67uAHWO3vNE0i4Nr4bRplWOS58T3+jxQhxId4G2gD+Hn/goN/weDftk/H3+2/A/7FnhDTv2S/hzd/aLOLxvdyWXjL436lZyAKtxFq1xC/hjwbcHBZRomm6jfQbsR6wWAZQD8RP2bP8Agnr/AMFQf+CuPxKu/F3w9+Hfxf8Ajnqev6hu8S/Hj4q6vq8Hgiye6mkeS41f4l+M53sZoYpGc/2fo82o3MQPl2+nKoVKAP7FP2Lv+DOb4E/B3wXqXxQ/bx+K9/8AHTx5o/hnV9dg+E/w1kv/AAl8K9K1Kx0qe+trfWvEUqw+LfF4trmLy7mK2HhzTroIQY54XywB/YH+yn8Avgn+zv8ABH4e+BvgX8KvAnwn8Jw+D/DMp0XwL4b0zw/bXVxJo9pJJeajJY28Nxql/LJJI81/qU13eSszGSdicsAfR9AHyD+3D+yzoX7XHwB8U/DW9jgg8U2kUniH4eazKq79H8Y6dbynTyZOGWy1NXk0vUkDor2t0zMcxIa/afATxbzDwa8Rcp4ooSqVMprTjlvEuBi3y43JMTUgsTaOzr4RqOLwsmpNVqSS0lI/LfGHw3wXifwTmPD9aMIZlSjLHZFi5WTwua0IS9heW6o4hN4eurxTp1G38KP5Cf2O/j54v/Yi/ao0fXtaivdLsdI8QXXgH4ueHJd6GbQG1H+ztdhngYhGu9EuYf7TsZSkhWaz/dfJM27/AGe8bPDvJfHnwjxuX4CdDF4jGZbS4i4NzSHLLkzFYX6zl86dRe8qOPpVPquIgmk4Vvfs6cT/AC58KuNs18H/ABJwuNxca2Go4XHVMk4owErx58FKv7DGRnB3TqYOpD6zRlZtSpe5ZSP7pNJ1XTtc0vTta0i7hv8AStXsbTU9NvrZxJb3lhfQR3NpdQOOHinglSWNu6uDX+AOMweJy/F4rAY2jUw2MwWIrYXFYerHlqUMRh6kqValUi9p06kJQkujR/sjhsTQxmHoYvC1YV8NiqNLEYetTfNTq0K0FUpVISV7xnCSlF31T63NCuY3CgAoAKAPGfBP/JXvjf8A901/9Ri7oA9moAKACgAoAKACgAoA/N//AIKjfHr4X/BL9mHxFB4+8L+F/H2v+OnbQPh74J8U6ba6vp954jERf/hIbixukdPsnheGT+0JZhsd5mt7MF1unjf+nvomeHnFnHfivltTh3N824dy7h+KzHiTPcoxVbBYmjlbmovLaeIotP22bTj9WhBpqMFUrvllRhKP4H9IzjTh3hDw7x8c6y7Ls6xuct4HI8ozLD08VQrY9Rv9enRqJr2eXRl7eUlZuTp0veVWSP5YP2E/2bLz9rH9pfwV4DvovI8IjVZPEvj6+t7aKC0g8PaSk+r3mmQQ28UVrbza0LRtKsbaJIookndokSK2IX/Wb6RHi7gfBbwzzHOIVlLP8fRnkvCmFq1pVMRXzWtQlCOLnOrJ1qtLLqV8Zia03OUpQpxm3Otc/wA5vBTw2xXinx5gssnS5cmwdWOacRYinSUKFHL6dVSeGhGmo0qdTHVP9moUoxjFRlNxShSkj+uz/h3R+w9/0bP8MP8AwUz/APyXX+N//EzXj5/0dTiz/wALqf8A8yH+nX/EB/B7/o3vDn/hLL/5YKP+CdP7D4II/Zn+GGQQRnSJyOPUG7wfoeD0ND+kz4+NNf8AEVOLLPT/AH6HX0wqf3Neq3BeA/g8tf8AiHvDmmv+6S/+WH1t4a8M+HvBug6V4X8KaLpnh3w5odnFYaRomjWcGn6Zp1nCMR29paW6RxQxgksdq5d2eRyzs7N+N5pmuZZ5mOMzbOMfi8zzPH154jG4/HV6mJxWKrz+KrWrVXKc5OySu/dilFWioqP6fl+X4HKsFhsuy3CYfAYDB0o0cLg8JShQw9ClH4adKlTUYRit9Fq227tty3K887AoAKACgAoA8Z/aD/5JD4u/7gH/AKk+i0AezUAFABQAUAFABQAUAFABQB4z8G/+aq/9lm8c/wDuLoA9moAKACgAoAKACgAoAKAPGf8Am4X/ALoz/wC7vQB7NQAUAFABQAUAFABQAUAeM/tB/wDJIfF3/cA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/wC4/wD+pPrVAHs1ABQAUAFABQAUAFABQB4z4J/5K98b/wDumv8A6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/AJpV/wBlm8Df+5SgD2agAoAKACgAoAKACgAoA4z4j/8AJPPHn/YmeKP/AEx31AB8OP8AknngP/sTPC//AKY7GgDs6ACgAoAKACgAoAKACgDxnwT/AMle+N//AHTX/wBRi7oA9moAKACgAoAKACgAoAKAPGfG3/JXvgh/3Ur/ANRi0oA9moAKACgAoAKACgAoAKAOM+I//JPPHn/YmeKP/THfUAHw4/5J54D/AOxM8L/+mOxoA7OgAoAKACgAoAKACgAoA/Jr4j/8lD8ef9jn4o/9Pl9QB//R/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD4u/4KmftdD9mL9n680bwzfi3+KfxZjv8Awr4QETj7To+mNAI/EfigAZaNtOs7hLWwkZQraleQFWzCxT4fjziJZFlE6VCdsfmCnQw1n71OFrVq/W3JGXLB2+OS35bS/tn6C/0fX43eLWGzHOsI6vAvAM8JnvEXtIv2OY41VXLJ8jvoprGYmi6+Lgm2sHh6qa/exPwu/wCCO3wF8Z/FL9qrSPitaXN9p3hH4M/afEHiTWVMuNV1fV7K90/S/DXnFgLiTUjcXF9qCs7slnau8iMZozX5V4cZTicfn9PMIynDD5ZzVq1VX/eVKkJQhQvrdzu5TV9Ixbd7pn+ov7RPxV4c4G8CMw4Dr0cLjOIPEf2OU5NlrUL4DL8vxOGxeOzr2a1owwSo0cNhJKCUsTXUISShPl/r+vr6y0yzutR1K8tdP0+yglur2+vriG0s7S2hQvNcXV1O8cFvBEis8s0rrGiAszAAmv6NP+eE/nh/4KCf8HOH/BNX9hs634R8NeO5f2p/jPpZuLX/AIV58Dbux1jQ9N1OBvLa18U/EmWR/Cek+VIVM0OmT67qCpuAsS6kKAfw0/8ABQP/AIOd/wDgpT+3M+seCvBHjBP2Vvg5rDTWEfw++Bt1f2HirWLC5zALPxN8SnK+K9Ue5Ux+ba6K+gWLTFlSzdGAYA8h/YQ/4N7f+Cnv/BRXUbHxrp3wu1X4R/DDxDdC/wBR+OP7Qr6r4XsNThuZs3WqaLo+oQT+NvGly5bzvNsdM+y3W7e2qICXoA/uD/4J8/8ABp3/AME9v2S/7D8a/tBQX/7Y3xe0/wCzXj3HxDtE0v4TaTqUao5/sb4a2cslvqkdtdIJbW48W6hrTNtBa0h3MlAH9Pvhvwx4b8G6Jp3hnwh4f0Twt4c0e3Sz0nQPDulWOi6LplpGMR22n6XpsFtZWcCDhYreCNB2UfxAGR8R/wDknnjz/sTPFH/pjvqAD4cf8k88B/8AYmeF/wD0x2NAHZ0AFAH8qP8AwWy/ZDuPAPxLs/2nfB2lv/wh3xNnh07x8LWL9xovj2CER2+pT7ARFD4osoVdppCitqtrOo3PdA1/rx9BLxnpcRcLVvCnO8Wv7b4Vp1MTw77WX7zHcPVJudXDU3JpzqZTXm0oRTawlam7qNFo/wA1/pd+F1TJeIKXiJlWHf8AZXEM4YfO/Zx9zCZ1CCjTrzsnyxzGjBNyk0niac1rKoj7B/4Iw/tu2njzwRF+yx8RNYVPG3gS0mm+Gl7fTKJPEng2M+ZLoKSu4aXU/DTu32aE73n0d49rsbNkr8V+nH4DVuHs+n4ucNYJyyHiCtCnxTQw8G45XnklywzGUI3UMLmiivazXuU8bGV0lWUz9U+ib4wUs6yeHhxnuKSzjJqUp8P1a09cflMdZYJSd+fEZe2+SL96eGlG0pOkz97a/wA8T+1AoAKACgDxnwT/AMle+N//AHTX/wBRi7oA9moAKACgAoAKACgAoA/ib/4KmftHah+0d+1l4r03SLye/wDBfwvvJvht4JsYC8kE9zpt2bfxBqVvAFBa51jX1njB5d7e0s41ACgV/u59Enwxw/hj4O5RisbRp4fPeLKEOKM+xFTljUp0sVR9pluFq1NlSwWXOEn9mNStXk92f5E/SQ49r8e+JuZYfC1Z18p4dqy4fyijC8oVKlCryY7EQhaLdTFY1TitLuFKlFWt737/AP7Cn7KGm/sqeD/2a9IvbGBPiP48tfHvjH4j6iE/0ltV1DwfZzafoRkOG+y+HLCdbGOLagF219MQWmLV/lh9J7xhxXi94m5pjKGIqS4X4frV8l4Yw3N+6+qYaq4YjMeRXi62Z4iMq7ndv2PsKasoNR/0I8A/DPD+GvAeX4WrRgs/zmlRzXPsRb948TXpqVHB8z19lgaMo0VH3f3vtZtXlc/WWv5yP24KACgAoAKACgAoAKAPGf2g/wDkkPi7/uAf+pPotAHs1ABQAUAFABQAUAFABQAUAeM/Bv8A5qr/ANlm8c/+4ugD2agAoAKACgAoAKACgAoA8Z/5uF/7oz/7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/3AP/AFJ9FoA9moAKACgAoAKACgAoAKACgDxn9nz/AJJD4R/7j/8A6k+tUAezUAFABQAUAFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/APdNf/UYu6APZqACgAoAKACgAoAKACgDxnxt/wAle+CH/dSv/UYtKAPZqACgAoAKACgAoAKACgDjPiP/AMk88ef9iZ4o/wDTHfUAHw4/5J54D/7Ezwv/AOmOxoA7OgAoAKACgAoAKACgAoA/Jr4j/wDJQ/Hn/Y5+KP8A0+X1AH//0v7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQB4z8Vv2iPgd8DJNIh+LvxS8G/D6fXvMOj23iTWILK6v44W2SzwWuJLg2yP8jXTIluJFZPNLqyr5uYZxleVOmsxx+Gwjq3dONaooymlu1HWXKnpzWtfTW1j9H4D8IPE/xQhmFTw+4G4j4tpZVyLMK2TZfVxNDCyqLmhSq1/dpe2lG0o0IzlWcWpcnK481Xwd+0x+zz8QCq+DPjZ8L/ABFI7BUg07xroEl07NyFW1e+S5Yn0WE88cEVOGzvJ8ZphszwNZvpDFUXL/wHmjL+raWblvxF4K+LvCfM+JPDTjfJ4QTcquM4azWFCKW7lXjhp0UlbrU210+17bHJHKiyxOksbqGSSNg6Op6MrrlWUjoQcHtmvUTTV07p7Nao/M5wnTlKE4yhOLtKE04yi1upRkk012auvO5418ZmVF+FjuyoifGTwQzuxCqqqNULMzHAVVAJJJwBycc0N21eiWrb6CjGUpKMU5Sk1GMYpuUpN2SSV223ZJJXb0Vz+Pv/AIKd/tLw/tIftSeLdU0fUftPgH4do3gHwZIZcWctnos8v9t61EX2qker6ybu4Eudr2cNo+4KAa/mHjjOv7cz+s6MnPDYT/YsIlqpKEv3k42vf2tVyaa+JKOitY/6YPoUeDa8E/AfJKGcUKeC4l4pi+MeKp1eWFTDVMdQhLAYHEVL2UcsyuFCFRSt7KtPE3bvLl8g1D/g5k/Yp/4Jofs36N8A/wBkfwLdftWftCNDdaz8RPGiTTeFPgtZePtSCvdQTeKZID4h8b2egxeTo1uPDlhFpci2Ltaa4Ypd7/u/CGSxyPIsHhXFRxNWCxOLa3deslJxb3fs48tNa6culj/DT6WvjHiPGvxu4t4kp4qpW4eyvGVOHeE6Lm3Ro5JlNSeHp16VO8oRlmOIjWx9Wcdajrxcr8sVH+WL9s7/AILL/wDBUL/gqR4p/wCEI8dfFTxxeeGfEl+bXw/+zt8BtM1fw94PujM7Jbad/wAIt4Wa613xndeU6wu/iC71qacr5gRCdq/Tn80n6I/8E+/+DTX/AIKEftXnRPGn7REWnfscfCO/NvdvJ4/tTq/xc1bTXaORjo/w2sbhJNJkuLaTzLafxdqWjbSQWsJsFKAP7kv+Cfv/AAb0/wDBNb/gnzHo3iLwh8ILb4zfGPTY4nk+M3xxhsPGviSK/VAst34a0K4tV8KeEFd1EkQ0fR/t0DKD/acjDewB+4aIkaLHGqoiKqIiKFREUYVVVcKqqAAqgYA4GMUAOoAKAOM+I/8AyTzx5/2Jnij/ANMd9QAfDj/knngP/sTPC/8A6Y7GgDs6ACgDzb4vfCjwX8cPhx4s+FvxA0qLV/C3i/Sp9Mv4HVfOtnkXNrqNjKfmttR065EV5ZXKEPFPEp5QurfUcF8YZ7wFxPk/FvDmLng82yXGU8Vh6kW+SrGLtWwuIgtKuGxNJzo16UrqdOb2aizwOKOGsp4wyDM+HM8w0cVluaYaeHrwklzU3JXp16Mt6dehUUatGpGzjOK6NqX8Rf7S/wCzv8Yf2Af2hLXTV1PUtOu9E1SPxV8KviNpXmWia3pdrdbrDUbWdDsj1C0IFnrWnEsI5jLDLEbadEf/AHl8LPErgr6RfhvVxTwmFxNHHYSWUcXcMYzkrywGLq0bYjDVacvelhq13XwGK+1DlnCSq0pcv+QPiDwLxV4I8c08OsRXoVcJiY5lw3n2G5qUcXhqdS9GtTmrpV6WlHF0G7KXNGUHTmub+qb/AIJ4ft5eFv2yPhrDbarPY6P8afB9lbW/j3wujrD/AGgFVYY/Fmh27fNLpOpuN1xHGW/s29aS2fCGHd/kX9JT6PebeCPFE6uEp4jG8DZ1Xq1eHs2cXP6s23OWT4+rFcscZhYu1OUuX61QUaqvJTUf9JfArxoy3xX4fjDEzo4Ti3KqVOnnWXKSj7ey5Y5ng4OzlhsQ1ecUpewrc1NtRcD9F6/mY/eAoAKAPGfBP/JXvjf/AN01/wDUYu6APZqACgAoAKACgAoAKAPylb/gkJ+zS/7SDftCPqHi14H8Wnx2/wAM2l09vCTeKGv/AO1muGuTanVW0xtVJvjpRl2E/uTcmHIr+vo/TQ8Uo+GC8N44XJo1I5KuHo8VRhiVnCylYf6mqaoqssGsWsH+4WMULr+J7JT94/mt/Rc8PpcfPjmVfM3F5n/bT4fcqDyt5l7b6z7RzdJYl4d4n979WcrX93ncfdPvTxt/yV74If8AdSv/AFGLSv5BP6UPZqACgAoAKACgAoAKACgDxn9oP/kkPi7/ALgH/qT6LQB7NQAUAFABQAUAFABQAUAFAHjPwb/5qr/2Wbxz/wC4ugD2agAoAKACgAoAKACgAoA8Z/5uF/7oz/7u9AHs1ABQAUAFABQAUAFABQB4z+0H/wAkh8Xf9wD/ANSfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j/wD6k+tUAezUAFABQAUAFABQAUAFAHjPgn/kr3xv/wC6a/8AqMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df+5SgD2agAoAKACgAoAKACgAoA4z4j/8k88ef9iZ4o/9Md9QAfDj/knngP8A7Ezwv/6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/wAle+N//dNf/UYu6APZqACgAoAKACgAoAKACgDxnxt/yV74If8AdSv/AFGLSgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgD8mviP8A8lD8ef8AY5+KP/T5fUAf/9P+5L/hoP4Q/wDQ3f8AlA8T/wDymoAP+Gg/hD/0N3/lA8T/APymoAP+Gg/hD/0N3/lA8T//ACmoAP8AhoP4Q/8AQ3f+UDxP/wDKagA/4aD+EP8A0N3/AJQPE/8A8pqAPM/+FxfDj/hcn/CV/wDCRf8AEg/4Vn/wj32/+yNd/wCQx/wlP9pfZPsv9mfbf+PL999o+z/Zf+Wfneb8lAHpn/DQfwh/6G7/AMoHif8A+U1AB/w0H8If+hu/8oHif/5TUAH/AA0H8If+hu/8oHif/wCU1AB/w0H8If8Aobv/ACgeJ/8A5TUAH/DQfwh/6G7/AMoHif8A+U1AB/w0H8If+hu/8oHif/5TUAH/AA0H8If+hu/8oHif/wCU1AB/w0H8If8Aobv/ACgeJ/8A5TUAeZ/GL4xfDjxV8OPEWg6D4i+36tf/ANkfZLT+yNdtfN+y67pd5P8Av7zTLe2TZbW80n7yZN2zYm6RkRgD0z/hoP4Q/wDQ3f8AlA8T/wDymoAP+Gg/hD/0N3/lA8T/APymoAP+Gg/hD/0N3/lA8T//ACmoAP8AhoP4Q/8AQ3f+UDxP/wDKagA/4aD+EP8A0N3/AJQPE/8A8pqAD/hoP4Q/9Dd/5QPE/wD8pqAD/hoP4Q/9Dd/5QPE//wApqAD/AIaD+EP/AEN3/lA8T/8AymoAP+Gg/hD/ANDd/wCUDxP/APKagDzP4O/GL4ceFfhx4d0HXvEX2DVrD+1/tdp/ZGu3Xlfatd1S8g/f2emXFs++2uIZP3cz7d+x9siuigHpn/DQfwh/6G7/AMoHif8A+U1AH8R3/B6p8R/Bnjn4G/sL2/hbWf7Ul0/4sfFya7T+ztVsvJjm8IeF0ibdqNjaLJuZGGImdhjLKAQaAPX/APgzK+J3gfwR+w1+05p/ijW/7Mu7r9p1bqCH+zdXvfMt/wDhWnhGLzPM0+wuol/eIy7HdX4zt2kGgD+xL/hoP4Q/9Dd/5QPE/wD8pqAD/hoP4Q/9Dd/5QPE//wApqAD/AIaD+EP/AEN3/lA8T/8AymoAP+Gg/hD/ANDd/wCUDxP/APKagA/4aD+EP/Q3f+UDxP8A/KagDzPwt8Yvhxp3xH+KevXniLydJ8R/8IP/AGLd/wBka7J9s/sfQriz1H9xFpj3Nv8AZ7mRY/8AS4YPNzvg82MF6APTP+Gg/hD/ANDd/wCUDxP/APKagA/4aD+EP/Q3f+UDxP8A/KagA/4aD+EP/Q3f+UDxP/8AKagA/wCGg/hD/wBDd/5QPE//AMpqAD/hoP4Q/wDQ3f8AlA8T/wDymoA/Bz/gp5+y1q37T/xh0b4v/B34i+HdZjbwjpvhjVfCfiWPxRoUuky6PPeyxXmj3Fx4fmsZ7bUUvA1zC0trMl1G7nzEdWX8n454JzXPcxp5lltSjVX1eFCph69X2Tpuk5NSptxcHGal7ybi+Zdbpx/1R+hF9M7wu8EPDzMvDzxEy/N8tmuIMZneAz/JcsWaQx8Mxp4aFTD5jRpVKWKpVsHLD2o1Iwr05UJxiuWaaPx88VfsW/tIeD3aVvAN5rcUH7z7b4Vu4NXVduDvSOF4r7KnpttWYEZGMB2/NsVwJxTg7ylldWqo6uWFnTr29FTqSl90fuvaP+jnDH03/owcXOFDD+J2V5XVrv2aw3E2CzHI+dy05ZVcwwlPCJPVPnxEYvbW9zK8JftF/tWfs/anHZ+Hfih8Wfh7eW/K6JqGra3DZlI2wVOg6551hJDldrD7HJGenGfm4KOacSZHNRhiszwEou3s6rrRhp09lWTp+XwP1eh95m3hh9HXxpwUq+L4W8NeOcPWjzPMcrpZPisUudaTWZ5PKGNpz1upfWIyT32976R8b/8ABV79r34hfDeX4d+J9f8AB14Xuba4h8Yw+FRp/i2zMNtd2cslpc6Xf6fpS3kttfTot5PpNwYXZZo4jIitXvvxI4iqYLEYOvPDVXXoToLEqj7LEU+ePK5xlTcablZvemvyPwSn+zq+j3gOMuH+L8kwvEWWLI87wec1OHama/2nkOYvBVo4ing69LH0amNpYd1YQk1SxjXu8rhODcD8Vf2otA+LfjD4M+L/AAl8GE03/hNPFNo2jG/1bVv7ISx0i9ymrzWl0Y5c6lcWpe1thIY4l8+WaSZWjjV/n+Gq+VYXOMLi84dX6nhp+25KVL2zqVY60lON1+7jL35WvJ8qSWrP336R2ReJ/FHhFxRwp4Q08ujxZxHg3k6xeY5msppYDKcUnTzOphMR7Or/ALdWwrlhMNGSp0oKtUqzrQdKCl4f/wAE7/8AggD8Dfivf6b4s/b2/bm+HvwQ8MpdI8vwk+Gtl4h1/wCI2rQxvG3kal4x1jwzb+DfDkNyN0Mkmmp4lukDbo/KdVav6IwvGvC+LSdPN8LTb+xiHLDzXk1VUV9zfrqnL/nx4l+hp9JjharWhjvCXiXHUqLd8XkVPDZ7hZpfap1MsxGJm00rq9KL/u3Z/eD+wj+zp/wRt/YM8PWem/sl6N8INC10W0Vvf/Eu+ivfGXxU190TaZ9U8c6xp13rYeUN+8tdMk07TxnalkmNre1SzTLK6To5hgqqe3JiqMt9tql/68z8bzPwx8SMllKGbcAcZ5bKF+b67wxnWHStdO8qmDUdGnrz29Le7+nVv+0h8Fbtd1r45trlT0a30jxFMp/GPR2H6n6jrXZGpCfwThP/AAyUvy/4H6y+QxOBxuDly4vB4rCyW8cTh6tCS+VSMX+H3XXNZ/4aD+EP/Q3f+UDxP/8AKarOUP8AhoP4Q/8AQ3f+UDxP/wDKagA/4aD+EP8A0N3/AJQPE/8A8pqAD/hoP4Q/9Dd/5QPE/wD8pqAOZ8a/HL4W6v4N8W6Vp/ij7Rf6n4Z17T7GD+xPEUXn3l7pV1bW0Pmz6THDH5k0qJ5k0kcSbt0jqgZlADwV8cvhbpHg3wlpWoeKPs9/pnhnQdPvoP7E8RS+ReWWlWttcw+bBpMkMnlzROnmQySRPt3RuyFWYA6b/hoP4Q/9Dd/5QPE//wApqAD/AIaD+EP/AEN3/lA8T/8AymoAP+Gg/hD/ANDd/wCUDxP/APKagD5V/a/8HfsvftgfCfUPh1418ULZata+dqPgrxdB4b8SPqfhPxEISkF7bsdDLS2Vxxb6pYlhHeWhKkeYsTp+veC3jHxL4LcYYbiXIpuvg6vJhc+yapNrC5xljmpVKFRbRxFP+JhMR8VGsk01FzUvzbxS8Msj8U+Ga+Q5vBUcTT5sRlGZwiniMtxyg1CtB2vKjPSGIo35atN2a5owZ/I1Hc/Gf9h/4/wan4e1efQfG/gXVmm0jXLKO7TRfFOimXAkEF3FbnUvD2u2i7LqyuolIVzHIkdzChi/29y7MPDf6SfhfKXJQzvhjiPCeyxmDquCx+T5hGPvU52vUwOaZdW96jWiou6VSHNRqOJ/lBjsFxz4F8fqLnWyrPskxPtMLiYKf1PM8G37tSF7QxeAxlLSpTbatJxfLOKcf6xP2Rv+Cn/wE/aQ8F6c3iHWofh/8VbO2hh8T+BL211S78y8RAs2peGrq0sbldT0i6cNLChZb60U+TdwgoZm/wAdPHz6NvGHgpnFerLD4nO+C8VWqSyjiXDUJzpU6Lk3DC5vGnGSwOOpRajN1OShXaU6M5KSjH/Tfwe8cuGfFTLKVONajlXFNClBZlkVetGNSVVK08RlsptPGYSpJOUeVe2pJ8lWCcXM+y/+Gg/hD/0N3/lA8T//ACmr+bz9xD/hoP4Q/wDQ3f8AlA8T/wDymoA8z8LfGL4cad8R/inr154i8nSfEf8Awg/9i3f9ka7J9s/sfQriz1H9xFpj3Nv9nuZFj/0uGDzc74PNjBegD0z/AIaD+EP/AEN3/lA8T/8AymoAP+Gg/hD/ANDd/wCUDxP/APKagA/4aD+EP/Q3f+UDxP8A/KagA/4aD+EP/Q3f+UDxP/8AKagA/wCGg/hD/wBDd/5QPE//AMpqAD/hoP4Q/wDQ3f8AlA8T/wDymoAP+Gg/hD/0N3/lA8T/APymoAP+Gg/hD/0N3/lA8T//ACmoA8z8U/GL4caj8R/hZr1n4i87SfDn/Ccf21d/2Rrsf2P+2NCt7PTv3EumJc3H2i5jaP8A0SGfysb5/KjIegD0z/hoP4Q/9Dd/5QPE/wD8pqAD/hoP4Q/9Dd/5QPE//wApqAD/AIaD+EP/AEN3/lA8T/8AymoAP+Gg/hD/ANDd/wCUDxP/APKagA/4aD+EP/Q3f+UDxP8A/KagA/4aD+EP/Q3f+UDxP/8AKagA/wCGg/hD/wBDd/5QPE//AMpqAD/hoP4Q/wDQ3f8AlA8T/wDymoA8z+MXxi+HHir4ceItB0HxF9v1a/8A7I+yWn9ka7a+b9l13S7yf9/eaZb2ybLa3mk/eTJu2bE3SMiMAemf8NB/CH/obv8AygeJ/wD5TUAH/DQfwh/6G7/ygeJ//lNQAf8ADQfwh/6G7/ygeJ//AJTUAH/DQfwh/wChu/8AKB4n/wDlNQAf8NB/CH/obv8AygeJ/wD5TUAH/DQfwh/6G7/ygeJ//lNQAf8ADQfwh/6G7/ygeJ//AJTUAH/DQfwh/wChu/8AKB4n/wDlNQAf8NB/CH/obv8AygeJ/wD5TUAeZ/DT4xfDjw//AMLA/tfxF9k/tv4m+KvEOl/8SjXZ/tOj6l9g+xXf+jaZN5PneRL/AKPceVdR7f30Kbk3AHpn/DQfwh/6G7/ygeJ//lNQAf8ADQfwh/6G7/ygeJ//AJTUAH/DQfwh/wChu/8AKB4n/wDlNQAf8NB/CH/obv8AygeJ/wD5TUAH/DQfwh/6G7/ygeJ//lNQAf8ADQfwh/6G7/ygeJ//AJTUAH/DQfwh/wChu/8AKB4n/wDlNQAf8NB/CH/obv8AygeJ/wD5TUAeZ/8AC4vhx/wuT/hK/wDhIv8AiQf8Kz/4R77f/ZGu/wDIY/4Sn+0vsn2X+zPtv/Hl+++0fZ/sv/LPzvN+SgD0z/hoP4Q/9Dd/5QPE/wD8pqAD/hoP4Q/9Dd/5QPE//wApqAD/AIaD+EP/AEN3/lA8T/8AymoAP+Gg/hD/ANDd/wCUDxP/APKagA/4aD+EP/Q3f+UDxP8A/KagA/4aD+EP/Q3f+UDxP/8AKagA/wCGg/hD/wBDd/5QPE//AMpqAD/hoP4Q/wDQ3f8AlA8T/wDymoA8z+MXxi+HHir4ceItB0HxF9v1a/8A7I+yWn9ka7a+b9l13S7yf9/eaZb2ybLa3mk/eTJu2bE3SMiMAemf8NB/CH/obv8AygeJ/wD5TUAH/DQfwh/6G7/ygeJ//lNQAf8ADQfwh/6G7/ygeJ//AJTUAH/DQfwh/wChu/8AKB4n/wDlNQAf8NB/CH/obv8AygeJ/wD5TUAH/DQfwh/6G7/ygeJ//lNQAf8ADQfwh/6G7/ygeJ//AJTUAH/DQfwh/wChu/8AKB4n/wDlNQAf8NB/CH/obv8AygeJ/wD5TUAeZ/B34xfDjwr8OPDug694i+watYf2v9rtP7I1268r7VruqXkH7+z0y4tn321xDJ+7mfbv2PtkV0UA9M/4aD+EP/Q3f+UDxP8A/KagA/4aD+EP/Q3f+UDxP/8AKagA/wCGg/hD/wBDd/5QPE//AMpqAD/hoP4Q/wDQ3f8AlA8T/wDymoAP+Gg/hD/0N3/lA8T/APymoAP+Gg/hD/0N3/lA8T//ACmoAP8AhoP4Q/8AQ3f+UDxP/wDKagA/4aD+EP8A0N3/AJQPE/8A8pqAPM/C3xi+HGnfEf4p69eeIvJ0nxH/AMIP/Yt3/ZGuyfbP7H0K4s9R/cRaY9zb/Z7mRY/9Lhg83O+DzYwXoA9M/wCGg/hD/wBDd/5QPE//AMpqAD/hoP4Q/wDQ3f8AlA8T/wDymoAP+Gg/hD/0N3/lA8T/APymoAP+Gg/hD/0N3/lA8T//ACmoAP8AhoP4Q/8AQ3f+UDxP/wDKagA/4aD+EP8A0N3/AJQPE/8A8pqAD/hoP4Q/9Dd/5QPE/wD8pqAD/hoP4Q/9Dd/5QPE//wApqAPM/iX8Yvhx4g/4V/8A2R4i+1/2J8TfCviHVP8AiUa7B9m0fTft/wBtu/8ASdMh87yfPi/0e3826k3fuYX2vtAPTP8AhoP4Q/8AQ3f+UDxP/wDKagA/4aD+EP8A0N3/AJQPE/8A8pqAD/hoP4Q/9Dd/5QPE/wD8pqAD/hoP4Q/9Dd/5QPE//wApqAD/AIaD+EP/AEN3/lA8T/8AymoAP+Gg/hD/ANDd/wCUDxP/APKagA/4aD+EP/Q3f+UDxP8A/KagA/4aD+EP/Q3f+UDxP/8AKagDmfGvxy+Fur+DfFulaf4o+0X+p+Gde0+xg/sTxFF595e6VdW1tD5s+kxwx+ZNKieZNJHEm7dI6oGZQA8FfHL4W6R4N8JaVqHij7Pf6Z4Z0HT76D+xPEUvkXllpVrbXMPmwaTJDJ5c0Tp5kMkkT7d0bshVmAOm/wCGg/hD/wBDd/5QPE//AMpqAD/hoP4Q/wDQ3f8AlA8T/wDymoAP+Gg/hD/0N3/lA8T/APymoAP+Gg/hD/0N3/lA8T//ACmoAP8AhoP4Q/8AQ3f+UDxP/wDKagA/4aD+EP8A0N3/AJQPE/8A8pqAD/hoP4Q/9Dd/5QPE/wD8pqAD/hoP4Q/9Dd/5QPE//wApqAPM/C3xi+HGnfEf4p69eeIvJ0nxH/wg/wDYt3/ZGuyfbP7H0K4s9R/cRaY9zb/Z7mRY/wDS4YPNzvg82MF6APTP+Gg/hD/0N3/lA8T/APymoAP+Gg/hD/0N3/lA8T//ACmoAP8AhoP4Q/8AQ3f+UDxP/wDKagA/4aD+EP8A0N3/AJQPE/8A8pqAD/hoP4Q/9Dd/5QPE/wD8pqAD/hoP4Q/9Dd/5QPE//wApqAD/AIaD+EP/AEN3/lA8T/8AymoAP+Gg/hD/ANDd/wCUDxP/APKagDzPxT8YvhxqPxH+FmvWfiLztJ8Of8Jx/bV3/ZGux/Y/7Y0K3s9O/cS6YlzcfaLmNo/9Ehn8rG+fyoyHoA9M/wCGg/hD/wBDd/5QPE//AMpqAD/hoP4Q/wDQ3f8AlA8T/wDymoAP+Gg/hD/0N3/lA8T/APymoAP+Gg/hD/0N3/lA8T//ACmoAP8AhoP4Q/8AQ3f+UDxP/wDKagA/4aD+EP8A0N3/AJQPE/8A8pqAD/hoP4Q/9Dd/5QPE/wD8pqAD/hoP4Q/9Dd/5QPE//wApqAOZ8a/HL4W6v4N8W6Vp/ij7Rf6n4Z17T7GD+xPEUXn3l7pV1bW0Pmz6THDH5k0qJ5k0kcSbt0jqgZlADwV8cvhbpHg3wlpWoeKPs9/pnhnQdPvoP7E8RS+ReWWlWttcw+bBpMkMnlzROnmQySRPt3RuyFWYA6b/AIaD+EP/AEN3/lA8T/8AymoAP+Gg/hD/ANDd/wCUDxP/APKagA/4aD+EP/Q3f+UDxP8A/KagA/4aD+EP/Q3f+UDxP/8AKagA/wCGg/hD/wBDd/5QPE//AMpqAD/hoP4Q/wDQ3f8AlA8T/wDymoAP+Gg/hD/0N3/lA8T/APymoAP+Gg/hD/0N3/lA8T//ACmoA/PPxrqFnq/jLxbqunzfaLDU/E2vahYz+XLF59ne6rdXNtN5U6RzR+ZDKj+XNHHKm7bIiuGVQD//1P7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQB+Z/7c/8AwV8/4J+/8E7tJvJf2kv2gPC2l+MobeSax+E3g+ePxp8VtVkTgQQeDdEmnvdN3uVX7Vr76PYqGDtdBcUAfxA/8FBP+Dx/9pz4u/234F/YO+G2m/s2+Cbj7RZRfFLxsun+NPjDqFq6vF9r0vTmEvg7wbK4Cz27JD4i1C33Y+2RSKDQB/Pd8J/hF/wVB/4KSfEnxL8Y/C118f8A4w67YC51rx7+0B4x8VeJbHwX4O06F/Nvb/xD8SdavLXQdF06zKlv7H026a4J2W+n6RNK8Vu/FmCwMcJXrZjToTwtCnOrV+sU4VIRhFXk7T0vpot27Jbo+04BnxxX4pyXJ/D7MM9wfE2dZlhMuymGQ4/G4DF18biq0KVCKqYKrTqKKlLmqSkpQhTjKpP3Iy5f6G/2c/g945stE+HfwjPiPXvin8R9ZvNJ0B9a1K9v9Qu/EPijV57exjjsft26e1037RJFDZwGKHy7dTdXMS3M1y7fytmFWOdZzUWW4Klh4YrEKjgsJhqUYLllPlp8ygk3OV+ecpbXtpGPLH/qL4Dy7EeDvhDgZeI3GeZcQY3hnh+ebcZcV8QZlXx1SpicPhFXzF0auKq1FSwWG9n9WwWGpOManIqjjLE4mrOf9MGt/wDBBCe48LaFc+F/jwNO8ZPommP4i0vxL4aW/wBATxAbGA6tHpeqaRd2t8mm/wBofaBZ/aNPupo7fyxJJcMC7/ptXwlcsPSlQzbkxPsoe2p16KnRVbkXtFTqU3GShz35bwm1Hfmtc/zVyz9q1So57mtHO/Cv65w5HM8dHJ8dkudPC5tLKViqqy+eOwWYUK2GnjPqnsXiFSxWHpzq8zjCkpKEfkDxd/wRR/bQ8PzXP9hWnw58bWkLN5M+jeMotOuLhB0ZbPxBaaUUZh/AZmPGMjq3zmI8MeJaLl7JYLFRWzp4hQk15RqqH5n9D8P/ALSz6NubU6P9qYjjHhrEVEvaUsx4cqYylRk94vEZTiMepJfzKlbrpe0vnXW/+CaX7c/h2WQT/s8+NbwQsR5+hTaLrKHb/FGdL1a5kYHsVU59jgN41Tgjiqi3fJ8VKztei6VX5p06km18n+Fz9gyz6aX0Xc4hH2Xi9w1h3US/dZpTzLLZK/Sax2ApQT7pz06t3PPr74Aftn/Dk+ZP8Lf2gvC/lZbztP0DxvbJHjksJtLidFxjqHGMd65JZPxNgt8BnFC3WFLFRt53grL+vhsnL63C+LX0buMFyUuOvCTPOfR08Xm3DNaU76WdPHTUpdvh+S2P6ff+CR3/AA0h/wAM36l/w0L/AMJd5f8Awl0//Ctv+E8+3/8ACVf8Ir9gtftf2r+1/wDibf2b/a32j+y/t3zbftPk/uttfufh5/bX9i1P7Y+sW+sv6l9b5/b/AFfkjzX9p+85PaX9nzf3raH+IX7QL/iDX/EZcF/xCL/V/n/1fpf65/6q/VP7C/t363X9h7D+z/8AYPrv1D2X176rpf2PtPfP1Rr70/hMKACgDjPiP/yTzx5/2Jnij/0x31AB8OP+SeeA/wDsTPC//pjsaAOzoAKACgAoA+Q/2wP2MfhP+2P4BPhXx7ZnTfEulRzy+DPHmmQxf294YvpUPyq7bRf6TcSbTfaTcsYJtvmRNBOBLX7P4LeOPGPglxEs24er/WsqxkqcM84exU5f2dmuHg1q4q7w+MpxuqGMpctSnfllz024H5d4p+E/DPitkjy3OqP1fMMNGcspzrDwj9dy6tJdG7e2ws5WdbC1Jck7XjyTXOfyNftKfsI/tQfsX+IR4g1rRtVufDGm3zTaB8XPAEt/Jo8Zicm2ubm+sduo+F78oA/k6j9m2sSsN1OF3V/st4XfSC8J/HLLf7OwONwdLNcTh1DMeDeI4YaONlzxSq0qWHxDlhs2w3M3Hnw3tLpXqUqd2o/5gcf+DHiN4S4/69isLiqmXYes54HijJJ1pYWPLJ+zqVK1G1fLq9km4V/Z2vaNSotT7c/ZD/4LVfFT4XnTPBv7R1jd/FrwTEYrWLxhatDB8Q9FthhFkuZHCWXii3gUhmS8+yam0ce1L6Vzh/wfxn+gtwjxYsVnnhjXo8HZ9LnqyyWrz1OG8fU+JxpRSlXympUaspUXWwqlO7w8IpM/X/C76XHEnDv1fKePaNTibKI8tKOa0+SGe4OmvdUqjdqWZQindqq6WItGyqzbR/Sz8DP2ivg5+0f4Tg8ZfB/xvpPi3S2RPttpbzCDW9FndVY2eu6LPs1DS7pC2wrcQiKRgTBLKg3V/lrx/wCGnG3hhnFTI+NchxmT4tSl7CtUg6mAx1OLt7bL8dTTw2LpO170qkpRXxxi3Y/0D4O474V49yyGbcLZvhszwzS9rThLkxeEm1rSxmEm/b4aom7NTjyt/BOSsybwT/yV743/APdNf/UYu6+EPrj2agAoAKACgAoAKACgAoA8Z8bf8le+CH/dSv8A1GLSgD2agAoAKACgAoAKACgAoA8Z/aD/AOSQ+Lv+4B/6k+i0AezUAFABQAUAFABQAUAFABQB4z8G/wDmqv8A2Wbxz/7i6APZqACgAoAKACgAoAKACgDxn/m4X/ujP/u70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/cA/8AUn0WgD2agAoAKACgAoAKACgAoAKAPGf2fP8AkkPhH/uP/wDqT61QB7NQAUAFABQAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoAKACgAoAKACgAoAKAPGfBP/JXvjf8A901/9Ri7oA9moAKACgAoAKACgAoAKAPGfG3/ACV74If91K/9Ri0oA9moAKACgAoAKACgAoAKAOM+I/8AyTzx5/2Jnij/ANMd9QAfDj/knngP/sTPC/8A6Y7GgDs6ACgAoAKACgAoAKACgD8mviP/AMlD8ef9jn4o/wDT5fUAf//V/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFAEU00NtDLcXEsVvbwRvNPPNIkUMMMSl5JZZXKpHHGgLu7sqKqlmIAJoA/Bb/goJ/wce/8ABNP9gZNa8M3nxRj/AGhfjNpizwp8JPgRc6f4rurXUYgCtn4o8aJcHwd4XBJKyifU73UYipA0t2G2gD+Gj/goH/wdVf8ABRn9sU654M+Des2P7H/wf1L7RZpoPwmu7ib4katpkokh8rxB8ULxE1eJ7q3cC5t/C1r4ehVyyq8qAMwB8a/sQf8ABDb/AIKf/wDBTTXovG3hD4U+KdB8DeI74Xmt/tB/H+81fwx4ZvxNIhutTtNR8QRXPinxxdmN/PDaHp+rfauN93GG3qAf28/8E+f+DRX9hT9mcaJ42/aw1bUv2xPinZrBdTaLrlvN4Y+Cel6goBdLPwXZznVPE8MUihopvFWqzW0vzeboyAqqgH11/wAFivi34H+A3wW8Afsb/BTw/wCGfh9pXihIPEHiLwt4G0jTfDWjaL4I0WYQ6RpEelaJFaWlqmt6tB500Rt1+0W2k5kLrL835N4pZ59XwWHyShO1XGP2+Ks9Vhqcv3cHv/FqK7TUfdh1uj/Vr9mH4KrPuL8/8Z86wnPlvCFOeRcLutTvTrcQ5hRUsfjaXPFxk8sy6aowqQd6dfHX0lBHzF/wSZ/Zh+3al4d/aj8TWTm0074yeD/APw8jnjzDc37vc3vibXYt25XbT/JstLtJAoMdxNfFXDR/L5Xhdw/GrUrZ/iYXVCUsPgOZae1t+/rLu4RapxdtHKTV7I/UP2nHj1iMry/J/Anh3G+yq51h6PEHHE6FRqrHLY1v+EbJqji4yhDG1aVTH4mm+aNWjSwsZLkm1L+rmv24/wAVQoAKACgAoAKACgAoA4z4j/8AJPPHn/YmeKP/AEx31AB8OP8AknngP/sTPC//AKY7GgDs6ACgAoAKACgCnqGnafq1jdaZqtjZ6npt9C9ve6fqFtDeWV3byDEkF1a3EcsE8Ljh45Y3RhwVNb4bE4nBYiji8HiK+FxWHqRq0MThqs6FejUi7xqUqtKUalOcXrGUJRkuj/lyr0KGKo1MPiaNLEYetB061CvThVo1actJQqU5qUJxa3jJNPqfid+19/wRc+EnxZGq+M/2erq0+EPjyYTXcnhdo5Zfh5r12d0rIlrGWufDFxcvlRNp6y6cJJNz6dGil6/u3wX+nLxlwf8AVMj8SaVbjPh6Dp0YZspRjxLl9Fe6pSrS5aWbU6cbXhinDEuMbRxLbtL+RfFL6JfC/E31nNuBqlPhfOpc9WWXOMpZFjar1aVJP2mX1Kjv79BToc0rujFJM/ng13wv+1d+wJ8WIZbyLxn8HfHOmzt/Z+s6fLKND8R2kLuN1nfxeZoniXSLhQxa2lFwnlv/AKRbwyEKv+lWX5t4QfSJ4PnCjLI+NcgxNNLE4HEwg8fllacVpXw8uTH5VjKbso1YezfNG9KrOKaP4UxmXeJnglxNCVWObcK5xQm/YYuhKX1PH0oyetKvHmwmPwtRJt05Kfuy9+nCV4x/br9hL/gr14O8VeNNf0b9qJ9P8D+LfG8fhKys/H+nwNb+C7+/0DT7nSwddt90jeG579ZYZftKtNpImDq7WaMgX/PHx0+gvnXDccZxJ4S1MTxFk0OeviOFsTNVM9wFJXlL+z6/Ko5tRpq1qUo0sao3a9vytn9q+En0tsqz2WGyLxGhQyTNJ8lGjn9BcuUYyo9F9dp75dVm96ic8K20v3WiP6F7C/sdUsrXUtMvbXUdOvoI7qyv7G4hu7O7tplDxXFtcwPJDPDKhDxyxOyOrZViCDX+euIw2IwdethcXQrYbE4epKlXw+IpTo16NWD5Z06tKoo1KdSEk1KE4xlF6NLY/tChXo4mjTxGHrUq9CtCNSlWo1I1aVWnJXjOnUg5QnCSd1KLaa2LdYmoUAFABQAUAFABQB4z42/5K98EP+6lf+oxaUAezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGfg3/zVX/ss3jn/wBxdAHs1ABQAUAFABQAUAFABQB4z/zcL/3Rn/3d6APZqACgAoAKACgAoAKACgDxn9oP/kkPi7/uAf8AqT6LQB7NQAUAFABQAUAFABQAUAFAHjP7Pn/JIfCP/cf/APUn1qgD2agAoAKACgAoAKACgAoA8Z8E/wDJXvjf/wB01/8AUYu6APZqACgAoAKACgAoAKACgDxn4yf80q/7LN4G/wDcpQB7NQAUAFABQAUAFABQAUAcZ8R/+SeePP8AsTPFH/pjvqAD4cf8k88B/wDYmeF//THY0AdnQAUAFABQAUAFABQAUAeM+Cf+SvfG/wD7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM+Nv8Akr3wQ/7qV/6jFpQB7NQAUAFABQAUAFABQAUAcZ8R/wDknnjz/sTPFH/pjvqAD4cf8k88B/8AYmeF/wD0x2NAHZ0AFABQAUAFABQAUAFAH5NfEf8A5KH48/7HPxR/6fL6gD//1v7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHfeMvG/g34deG9U8Y+P/FfhzwT4T0S3e71jxN4s1rTvD2g6ZbRqzvNfatqtxa2NqgVScyzLnGAGOFYA/lj/wCCgf8Awdw/sEfswf234K/ZdsdT/bG+KtkLi0i1Dwvcv4b+DGlagilY3v8Ax5e273niOGKdWSeHwnpN5DJtHl6qisHoA/iG/bn/AOC8f/BT3/gpXrNx4H8S/FTxD4K+HniO+Nlo/wAAP2fbbV/C+gaks8rfY9L1FdFluPF/jq7Kv5Hl6xqV9FdbmC6egYJQB9S/8E/f+DWX/gpD+2c2ieMvip4dtP2Rfg9qZt71/FPxjtboePtW02cRz+d4d+F9qyeIHkuYGb7Pc+JZfDtqJWRmeRCwYA/uY/4J+f8ABtl/wTS/YNXRPFD/AAzH7SPxm0r7PcN8VPjva6f4mWz1OHJN54X8Bm3Pg7w4AxzEx0/U9RiABOpuwywB+/VtbW9nbwWlpbw2trbRRwW1tbRJBb28EKBIoYIYlSOKKJFCRxxoqIgCqAAKAJqAPyC/b1/4JZJ+2F8V9B+LXhz4nw+A9ZXRNN8NeK7HVtFuNbs77TNImuHsr3SDbXtm9pfpBdywSwTh7aYpFN5iMXWvzrizgJcR5hSzCjjlhKvsoUMRCpTdSMoU2+WdPlaamlJpxas7J3V2f6F/RU+nTL6PHAWa8AZxwRU4qy55njc6yHFYDMqWW4jC43MKdKOJw2YKthsRGvhJVcPCrCrSca1NSnT5ZJRcfrzTfg34V/Z/+Ev7OXwh8Gq50LwT8S/h/pcV5PHHHd6reZ1abUdYvhEApvNUvpbi8n5coZREJHWNWr7XKstw+UZfhcuw1/ZYWkqak0lKpLedSdrrmqTbk9dL2V7H8aeKfiNnvi1x/wAT+IXEbis04mzKrjp4elOc8PgcPaNLBZdhXPX6vgcJTo4alpHmVNzcVKUj7Br0D8/CgAoAKACgAoAKACgDjPiP/wAk88ef9iZ4o/8ATHfUAHw4/wCSeeA/+xM8L/8ApjsaAOzoAKACgAoAKACgAoA81+K3we+Gfxv8JX3gf4qeDdE8aeGr+N1ew1i0SZ7WRxgXenXY23em30ZCtFd2M0E6Mo/ebQVb6nhDjXirgLOcPn/COd4/Is0w8ouOIwVaVONWCetHFUdaOKw802p0a8KlOSb927bPn+JeFeHuMMsrZPxJlODzbL6yadHFUlN05ParQq6VcPWi7ONWjKE1bdrSX8rX7YH/AASU8c+APFfxN1v9mm11T4heAvBD6Jfah4PuJVu/HOiafrukNq27Twqx/wDCS2OniO4jcwouqpDGkjWt0S7r/qx4DfTf4e4weC4Z8UlheGOJKjp4fD8QU17Ph7Nq0rRgsQnK+UYqrPS03PBSlJJVaNnGX+ePi/8ARQzrhr61n3h/9Yz7I4c9atk037TOcupq8pOg0orMaFOP8sYYmMYtuFTRy8L/AGKf+Ck3xq/Y61uDwprT6n48+EKXhtta+HGu3U6X3h4pL5V1P4SursNJoeoQEMJdMlX+zbiSNY54LZwZl/WvHX6L3AvjZgKmb4GOF4e40lQ9rgeJ8vpQlh8y5oc9GnnNGjaOPw1S6cMVBvFU4zc6dScWoT/N/CPx/wCLvCrFwyzFvEZ1wuqvs8XkONqTVbA2k41J5ZVqpywdeGvNh5L2E5RUZxg05H9c/wCzz+0v8H/2oPA9r47+Efim11uyZI01fR5WW28Q+G750V307XtJdvtFlcIWwkmHtblRvtp5VB2/40eJXhZxp4T5/W4f4yyitgK6cpYPGwTq5bmmHUmo4rL8YkqdenK3vQ92tSelWnBtI/1B4F8QeFvEXJ6WdcMZlSxlFqKxWFk1Tx2X1mk3QxuFf7yjNX0l71Ootac5JNnvlfnZ9qFABQAUAFABQB4z42/5K98EP+6lf+oxaUAezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGfg3/zVX/ss3jn/wBxdAHs1ABQAUAFABQAUAFABQB4z/zcL/3Rn/3d6APZqACgAoAKACgAoAKACgDxn9oP/kkPi7/uAf8AqT6LQB7NQAUAFABQAUAFABQAUAFAHjP7Pn/JIfCP/cf/APUn1qgD2agAoAKACgAoAKACgAoA8Z8E/wDJXvjf/wB01/8AUYu6APZqACgAoAKACgAoAKACgDxn4yf80q/7LN4G/wDcpQB7NQAUAFABQAUAFABQAUAcZ8R/+SeePP8AsTPFH/pjvqAD4cf8k88B/wDYmeF//THY0AdnQAUAFABQAUAFABQAUAeM+Cf+SvfG/wD7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM+Nv8Akr3wQ/7qV/6jFpQB7NQAUAFABQAUAFABQAUAcZ8R/wDknnjz/sTPFH/pjvqAD4cf8k88B/8AYmeF/wD0x2NAHZ0AFABQAUAFABQAUAFAH5NfEf8A5KH48/7HPxR/6fL6gD//1/7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAH+Tn/wVr+Iv/BW39t3/god8cP2dfi5oH7RfjbWtD+MfjHw58Lf2c/C2h+LrjwVo3g+18Q3Vr4PufDHhPSIBouo6de6JHpuo/8ACW3iXRu3upbufUogzpEAfpf/AME+/wDgzn/at+NH9ieOf25/iBpn7MHgS5Fvey/DbwubDxr8aNQtJFEhtb94pJvB/gyckGGdbu812/t94Y6eHUrQB/b/APsJf8Ebf+Cen/BOzTbJv2d/gD4bj8d28EcV78YPHkUXjj4ralKuGaYeK9aglk0ZWk3Otr4btdGtIw5jEG0UAfqJQAUAFABQAUAeM/GT/mlX/ZZvA3/uUoA9moAKACgAoAKACgAoAKAOM+I//JPPHn/YmeKP/THfUAHw4/5J54D/AOxM8L/+mOxoA7OgAoAKACgAoAKACgAoA8Z8E/8AJXvjf/3TX/1GLugD89/27/8AglR8Mv2oINT+IHwzTTPhn8bfKkuZNQtrVYPC/ji4RCVt/FFjbBRbahPgRx6/ZxCcOEN/FdR73X+yPo+fS84q8J54Thzil4rirgPnjSjhqtV1M2yGnJ2dTKcRVbdXDU7ucsurz9m1zLDzoyaifzF4z/Rr4e8RYYjO+H1h+H+L+WU3Xp0+TLs3mldQzGjTt7OvOyjHG0kp3t7aFSKcj+ZO1vP2pP8Agnx8b22DxH8KfiNoM22a3mVpdB8U6SkucSId2k+KPDl+nKOvmoElyjW9yP3X+qtWh4S/SQ4CXN/ZnF/DOYwbp1YNQzDKcY4W92WmMynM8PLeLcJc0NVVpW5/886VbxH8DeL3b6/w1nuCnadOScsFmWGUtpK/1bMcDWWqa5lyy0dKfw/1b/sEf8FF/hz+2R4di0DUTZ+DPjbo1gsviLwRNcYt9YihVVn13wjNNte/08t891YnN/pu/wDerLbjz1/yC+kR9GbibwRzOeY4VV884Dx2IcMsz6FO9TAzqNunl+cwgmsPiUk40cR/AxfL7jhU9yP+lngp48ZD4rYCOCr+yyni/CUVLH5POdoYqMElPG5XOWtag271KP8AGw9/e5oWmfpHX8vn76FABQAUAFAHjPjb/kr3wQ/7qV/6jFpQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf9wD/wBSfRaAPZqACgAoAKACgAoAKACgAoA8Z+Df/NVf+yzeOf8A3F0AezUAFABQAUAFABQAUAFAHjP/ADcL/wB0Z/8Ad3oA9moAKACgAoAKACgAoAKAPGf2g/8AkkPi7/uAf+pPotAHs1ABQAUAFABQAUAFABQAUAeM/s+f8kh8I/8Acf8A/Un1qgD2agAoAKACgAoAKACgAoA8Z8E/8le+N/8A3TX/ANRi7oA9moAKACgAoAKACgAoAKAPGfjJ/wA0q/7LN4G/9ylAHs1ABQAUAFABQAUAFABQBxnxH/5J548/7EzxR/6Y76gA+HH/ACTzwH/2Jnhf/wBMdjQB2dABQAUAFABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z42/5K98EP8AupX/AKjFpQB7NQAUAFABQAUAFABQAUAcZ8R/+SeePP8AsTPFH/pjvqAD4cf8k88B/wDYmeF//THY0AdnQAUAFABQAUAFABQAUAfk18R/+Sh+PP8Asc/FH/p8vqAP/9D+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB6z/Zunfb/wC1fsFl/aZg+ynUfssH28227d9n+2eX9o8jd83k+Z5e7nbkCgC7QAUAFABQAUAFABQB4z8ZP+aVf9lm8Df+5SgD2agAoAKACgAoAKACgAoA4z4j/wDJPPHn/YmeKP8A0x31AB8OP+SeeA/+xM8L/wDpjsaAOzoAKACgAoAKACgAoAKAPGfBP/JXvjf/AN01/wDUYu6APZqAPmH9qf8AZK+EX7XHw/uPBHxN0ZTe28c0vhbxhp8cUXiXwlqbofLvdLvGUl4C+37bps+6zv4d8UqqxWRf1fwj8Y+M/BriOnn3CmOaoVZU4ZvkuJlOeV5zhIyvKhi6Ckkqijf2GKp2r4efLODkk4H534keGPC/ihkdTJ+IcIvawjOWW5rRjGOPyvENe7Ww1XRuDdva4efNRrQvGUYtxmfxv/tDfs3/AB//AOCf/wAadOW+vNV0O+0vU/7X+GvxT8Mvc2um67Bay77e9029Xi3v448JqmjXTPLCWlgnimtm3N/tt4beJ3hz9IzgXEuhRwmPoYvC/UuKOEs0VKtisvqVoctShiqDv7TDyleWEx1Fck7QqU50qq5Yf5TcdcA8b+CHFtBVquJwlXD4n61kHEmXupSw+NhSlzU6tCqr+zrKNliMJUlzQ96E1UptuX9J3/BN3/gpd4e/as0a1+GfxOuNO8N/HvRbJQYQyWmmfEOyto1WTWNBjchYtWQL5mq6KhZkJNzZ77YkJ/l59J/6LWZeEOOrcVcKUsTmfh3jq7anaVbF8NV6srxwOYSWs8G2+XCY5pKSXs6/LUXvf394BfSCwPiVhKXD3EVShl/GuEo6wVqeGz2jSjaWLwSbtHEpe9icIm3F3qUuaD939cK/jU/p8KACgAoA8Z8bf8le+CH/AHUr/wBRi0oA9moAKACgAoAKACgAoAKAPGf2g/8AkkPi7/uAf+pPotAHs1ABQAUAFABQAUAFABQAUAeM/Bv/AJqr/wBlm8c/+4ugD2agAoAKACgAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAFABQAUAFABQAUAFAHjPgn/kr3xv8A+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/7lKAPZqACgAoAKACgAoAKACgDjPiP/AMk88ef9iZ4o/wDTHfUAHw4/5J54D/7Ezwv/AOmOxoA7OgAoAKACgAoAKACgAoA8Z8E/8le+N/8A3TX/ANRi7oA9moAKACgAoAKACgAoAKAPGfG3/JXvgh/3Ur/1GLSgD2agAoAKACgAoAKACgAoA4z4j/8AJPPHn/YmeKP/AEx31AB8OP8AknngP/sTPC//AKY7GgDs6ACgAoAKACgAoAKACgD8mviP/wAlD8ef9jn4o/8AT5fUAf/R/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/APdNf/UYu6APZqACgDxT4/8A7P8A8NP2lfhtrXww+KOhw6voeqwubS7VUTVdA1NUItNa0S92mSy1Gzk2yI6EJKqmGdXiYpX3fhz4jcU+FvFGB4s4SzCeCzDBzSrUW3LB5jhG17bA4+hflr4atG8ZRacoNqdOUJpSl8jxvwRw94gZBi+HeI8HDFYPExbpVUksTgsQl+6xeDrWcqNelKzUo6SS5JJxbP4vP2rv2UPjP+wP8ZrBH1DVYtMh1T+2/hX8VdE86xj1OOym862ZbmEkad4h04bF1LTWfnmSJJbOU1/uT4QeL/A/0iOB8RKOHwk8VPCfUOLuEMfyV5YWVeHJVTpT1xOW4l3eGxSjdO0J8laClL/JfxL8M+LPBPiygnXxMcPHE/XOGuJcHz0Y4iNGfPTaqQbVDH4dWWIw7av8UVOjK8f6MP8Agmz/AMFMvDv7UGiad8K/ivf2Hh/496PZpDG8rR2em/Ei0to1U6po+7bHFroQb9T0dTvkfdc2IeJjGn+Zn0ofosZn4T4/E8XcH4fE5l4eY2vKpJQjKviuF61WTf1THWXNLL7u2FxrXLGNqVdxklOX95eAH0hMD4jYOhw3xLWoYHjXC0owi5SjSw+f06at9ZwiaSWMsr4jCppuXv0bxlyn6/V/Fx/UgUAFAHjPjb/kr3wQ/wC6lf8AqMWlAHs1ABQAUAFABQAUAFABQB4z+0H/AMkh8Xf9wD/1J9FoA9moAKACgAoAKACgAoAKACgDxn4N/wDNVf8Ass3jn/3F0AezUAFABQAUAFABQAUAFAHjP/Nwv/dGf/d3oA9moAKACgAoAKACgAoAKAPGf2g/+SQ+Lv8AuAf+pPotAHs1ABQAUAFABQAUAFABQAUAeM/s+f8AJIfCP/cf/wDUn1qgD2agAoAKACgAoAKACgAoA8Z8E/8AJXvjf/3TX/1GLugD2agAoAKACgAoAKACgAoA8Z+Mn/NKv+yzeBv/AHKUAezUAFABQAUAFABQAUAFAHGfEf8A5J548/7EzxR/6Y76gA+HH/JPPAf/AGJnhf8A9MdjQB2dABQAUAFABQAUAFABQB4z4J/5K98b/wDumv8A6jF3QB7NQAUAFABQAUAFABQAUAeM+Nv+SvfBD/upX/qMWlAHs1ABQAUAFABQAUAFABQBxnxH/wCSeePP+xM8Uf8ApjvqAD4cf8k88B/9iZ4X/wDTHY0AdnQAUAFABQAUAFABQAUAfk18R/8Akofjz/sc/FH/AKfL6gD/0v7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df8AuUoA9moAKACgAoAKACgAoAKAOM+I/wDyTzx5/wBiZ4o/9Md9QAfDj/knngP/ALEzwv8A+mOxoA7OgAoAKACgAoAKACgAoA8Z8E/8le+N/wD3TX/1GLugD2agAoAKAPGPj38A/hr+0l8N9b+F/wAUtCh1nw/q8Ra3uAFTU9D1JFP2TWdEvdrSWOpWchDxTR8Ou6GZXidkb7jw88ROKfC/ijAcWcJZhPA5jgppVKbblhMfhW17bA46hdQr4WvG8ZwlrH44OM1FnyfGvBXD/H+QYzhziPBwxeBxUW4T0jiMHiEn7LF4OtZyo4ijJ80Zx3XuSUoyaP40/wBsP9h742/sL/ECDVjLq2oeBDrAuvh78W/D/wBotEEsU3m2NtqdxaESeH/E1rhRJA0iR3Dr59hJLFIET/b7wU8fOA/H/hypg1HB4biBYJ0eJODsx9nVk4zg4YirhKVbmjmWVVvetUUZTpRfs8TFTjzy/wAofFTwe4v8G88p4rmxNfJnivaZHxPgXOnFSjLmo08RUpe9gcwpaJwlKMZtc9Bzg0j9hf8AgnV/wV4sfGf9jfBX9qrWrTS/Fh+z6Z4T+LN4yWmmeI5PkhttN8ZSbUg0/WZjtji1stFZahMQLsW08vmN/FX0l/oY4jJPr3HXhFga2Lyde0xWccHUFKti8sjrOtiskjrUxOBhrKpgffr4aGtH21ODhD+qPAj6UVHN/qnCXiTi6WGzN+zw+WcTVXGlh8fLSFPD5rLlUKGLm7Rhi/do15aVVCcuY/oLiljnjjmhkSWGZElilidZI5Y5FDJJHIpKujqQyOpKspBBIINf5wThKnKUJxlCcJOE4TTjKEou0oyi7OMotNNNXTVnbU/uGMozjGUJKUZJSjKLTjKLV1KLV0007pp2a1V7j6kZ4z42/wCSvfBD/upX/qMWlAHs1ABQAUAFABQAUAFABQB4z+0H/wAkh8Xf9wD/ANSfRaAPZqACgAoAKACgAoAKACgAoA8Z+Df/ADVX/ss3jn/3F0AezUAFABQAUAFABQAUAFAHjP8AzcL/AN0Z/wDd3oA9moAKACgAoAKACgAoAKAPGf2g/wDkkPi7/uAf+pPotAHs1ABQAUAFABQAUAFABQAUAeM/s+f8kh8I/wDcf/8AUn1qgD2agAoAKACgAoAKACgAoA8Z8E/8le+N/wD3TX/1GLugD2agAoAKACgAoAKACgAoA8Z+Mn/NKv8Ass3gb/3KUAezUAFABQAUAFABQAUAFAHGfEf/AJJ548/7EzxR/wCmO+oAPhx/yTzwH/2Jnhf/ANMdjQB2dABQAUAFABQAUAFABQB4z4J/5K98b/8Aumv/AKjF3QB7NQAUAFABQAUAFABQAUAeM+Nv+SvfBD/upX/qMWlAHs1ABQAUAFABQAUAFABQBxnxH/5J548/7EzxR/6Y76gA+HH/ACTzwH/2Jnhf/wBMdjQB2dABQAUAFABQAUAFABQB+TXxH/5KH48/7HPxR/6fL6gD/9P+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoAKACgAoAKACgAoAKAPGfBP/JXvjf8A901/9Ri7oA9moAKACgAoA5Hx34C8HfE7wnrXgbx94d0zxT4U8Q2ctjq2iavbJdWd1BKpU/K/zRTR53wXMTRz28gEkMiOoava4e4izvhTOMDn/DuZYrKc4y2vDEYPHYOrKlWo1INPdaTpyty1KU1KnUjeM4uLal5edZLlXEWWYvJs7wOHzLLMdSlRxWExVNVKVSEvJpuM4v3oVI8s4SSlGSaTP5Iv+Ch//BLLxb+zDNqXxU+ESan40+Bs9zJNew+W954i+HKzOWjg1rywz6hoKFhDBrqxq0AEa6lGhY3Df7I/Rr+ltk3ivDC8I8ZPC5Fx/TpRhQnzRo5ZxM6cfeqYHndsNmMkueplzlapeUsLOSXso/5h+Ov0cMz8O54jiThdYjN+Dp1JTrR5XVx+QqbuoYvl1rYKLfJDGKK5Eoquk5OZ7Z/wTF/4Knal8N77QP2f/wBozXZ9R+HV5Lb6T4I+IOqTSXF/4HuJGSGz0jXLmQPLd+FpGKxRXUhe40ZipLPZl1T4T6Vn0SMLxPh8x8RvDLL6eF4mowqYzPuG8JCNPD5/TjedfG5fSiowo5tFJznRilTxyulyVlGU/r/o8fSQxGQVsFwRx5jZ4jIa0qeGyfPMTOU6+Tzk1ClhcZUl71XLm7RjUk+fCt7ypX5f6moJ4LqCG6tZorm2uYo57e4gkSaCeCZBJFNDLGWjliljZXjkRmR0YMpKkGv8kqlOpSqTpVYTpVaU5U6lOpGUKlOpCTjOE4SSlCcJJxlGSUoyTTSaaP8AR+E4VIQqU5xqU6kYzhOElKE4TXNGcJRvGUZRacZJ2ad1e54942/5K98EP+6lf+oxaVBR7NQAUAFABQAUAFABQAUAeM/tB/8AJIfF3/cA/wDUn0WgD2agAoAKACgAoAKACgAoAKAPGfg3/wA1V/7LN45/9xdAHs1ABQAUAFABQAUAFABQB4z/AM3C/wDdGf8A3d6APZqACgAoAKACgAoAKACgDxn9oP8A5JD4u/7gH/qT6LQB7NQAUAFABQAUAFABQAUAFAHjP7Pn/JIfCP8A3H//AFJ9aoA9moAKACgAoAKACgAoAKAPGfBP/JXvjf8A901/9Ri7oA9moAKACgAoAKACgAoAKAPGfjJ/zSr/ALLN4G/9ylAHs1ABQAUAFABQAUAFABQBxnxH/wCSeePP+xM8Uf8ApjvqAD4cf8k88B/9iZ4X/wDTHY0AdnQAUAFABQAUAFABQAUAeM+Cf+SvfG//ALpr/wCoxd0AezUAFABQAUAFABQAUAFAHjPjb/kr3wQ/7qV/6jFpQB7NQAUAFABQAUAFABQAUAcZ8R/+SeePP+xM8Uf+mO+oAPhx/wAk88B/9iZ4X/8ATHY0AdnQAUAFABQAUAFABQAUAfk18R/+Sh+PP+xz8Uf+ny+oA//U/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/APdNf/UYu6APZqACgAoAKACgCpf2Fjqtjd6Zqdnbahp2oW01nfWF7BHc2l5aXEZiuLa5t5leKeCaJmjlikRkdGKsCDW2HxGIwmIo4rC1quGxOGqwr4fEUKkqVahWpSU6dWlUg4zp1KckpQnGUZRkk000mZV6FHE0auHxFKnXoV6cqVajWhGpSq05pxnTqU5JxnCUXaUZJpptNPVH8kn/AAVM/wCCbU/7PGtXvxy+DGk3Fx8FPEN+z6/oNpHLO/w01m8kLBFxvf8A4RO/lYiwnf8A5BUxFjMWga3kT/ZH6JX0oKfiXgaHAPHOMp0uO8tw6jl2YVpRpx4pwVCNuZ/DH+2MPBJ4iC/3uC+sQTqqpGX+Yn0j/AGfAuLrcY8J4apU4Rx1dyx2CpRc3w/i6sm7K2v9mVpP9zJp/Vpy9jNuHs5R+of+CPn/AAUN1O/1DQf2SPjFqct+08ctt8HvFt/cGS5Q28Ulx/wguqzTuZLhTFHIfDdxl5F2HTJBtFu9fk/01Po14XD4fMPGTgnCww6pyhV41ybD0uWk1UnGn/rBhIQXLTfPKKzSn7sXzLFw19tE/RvoseOmJr18H4YcVYiVdyjOHC2aV6l6i9nBz/sbEylrP3YyeAqXlJcv1eSt7OR+7/jb/kr3wQ/7qV/6jFpX+YB/fR7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z+Df/NVf+yzeOf/AHF0AezUAFABQAUAFABQAUAFAHjP/Nwv/dGf/d3oA9moAKACgAoAKACgAoAKAPGf2g/+SQ+Lv+4B/wCpPotAHs1ABQAUAFABQAUAFABQAUAeM/s+f8kh8I/9x/8A9SfWqAPZqACgAoAKACgAoAKACgDxnwT/AMle+N//AHTX/wBRi7oA9moAKACgAoAKACgAoAKAPGfjJ/zSr/ss3gb/ANylAHs1ABQAUAFABQAUAFABQBxnxH/5J548/wCxM8Uf+mO+oAPhx/yTzwH/ANiZ4X/9MdjQB2dABQAUAFABQAUAFABQB4z4J/5K98b/APumv/qMXdAHs1ABQAUAFABQAUAFABQB4z42/wCSvfBD/upX/qMWlAHs1ABQAUAFABQAUAFABQBxnxH/AOSeePP+xM8Uf+mO+oAPhx/yTzwH/wBiZ4X/APTHY0AdnQAUAFABQAUAFABQAUAfk18R/wDkofjz/sc/FH/p8vqAP//V/uS/4Z8+EP8A0KP/AJX/ABP/APLmgA/4Z8+EP/Qo/wDlf8T/APy5oAP+GfPhD/0KP/lf8T//AC5oAP8Ahnz4Q/8AQo/+V/xP/wDLmgA/4Z8+EP8A0KP/AJX/ABP/APLmgDzP/hTvw4/4XJ/win/CO/8AEg/4Vn/wkP2D+19d/wCQx/wlP9m/a/tX9p/bf+PL9z9n+0fZf+Wnk+b89AHpn/DPnwh/6FH/AMr/AIn/APlzQAf8M+fCH/oUf/K/4n/+XNAB/wAM+fCH/oUf/K/4n/8AlzQAf8M+fCH/AKFH/wAr/if/AOXNAB/wz58If+hR/wDK/wCJ/wD5c0AH/DPnwh/6FH/yv+J//lzQAf8ADPnwh/6FH/yv+J//AJc0AH/DPnwh/wChR/8AK/4n/wDlzQB5n8Yvg78OPCvw48Ra9oPh37Bq1h/ZH2S7/tfXbryvtWu6XZz/ALi81O4tn321xNH+8hfbv3ptkVHUA9M/4Z8+EP8A0KP/AJX/ABP/APLmgA/4Z8+EP/Qo/wDlf8T/APy5oAP+GfPhD/0KP/lf8T//AC5oAP8Ahnz4Q/8AQo/+V/xP/wDLmgA/4Z8+EP8A0KP/AJX/ABP/APLmgA/4Z8+EP/Qo/wDlf8T/APy5oAP+GfPhD/0KP/lf8T//AC5oAP8Ahnz4Q/8AQo/+V/xP/wDLmgA/4Z8+EP8A0KP/AJX/ABP/APLmgDzP4O/B34ceKvhx4d17XvDv2/Vr/wDtf7Xd/wBr67a+b9l13VLOD9xZ6nb2ybLa3hj/AHcKbtm990jO7AHpn/DPnwh/6FH/AMr/AIn/APlzQB/Ed/weqfDjwZ4G+Bv7C9x4W0b+y5dQ+LHxchu3/tHVb3zo4fCHhd4l26jfXax7WdjmJUY5wzEACgD1/wD4Myvhj4H8b/sNftOah4o0T+07u1/adW1gm/tLV7Ly7f8A4Vp4Rl8vy9Pv7WJv3js290Z+cbtoAoA/sS/4Z8+EP/Qo/wDlf8T/APy5oAP+GfPhD/0KP/lf8T//AC5oAP8Ahnz4Q/8AQo/+V/xP/wDLmgA/4Z8+EP8A0KP/AJX/ABP/APLmgA/4Z8+EP/Qo/wDlf8T/APy5oA8z8LfB34caj8R/inoN54d87SfDn/CD/wBi2n9r67H9j/tjQri81H9/FqaXNx9ouY1k/wBLmn8rGyDyoyUoA9M/4Z8+EP8A0KP/AJX/ABP/APLmgA/4Z8+EP/Qo/wDlf8T/APy5oAP+GfPhD/0KP/lf8T//AC5oAP8Ahnz4Q/8AQo/+V/xP/wDLmgA/4Z8+EP8A0KP/AJX/ABP/APLmgA/4Z8+EP/Qo/wDlf8T/APy5oAP+GfPhD/0KP/lf8T//AC5oAP8Ahnz4Q/8AQo/+V/xP/wDLmgDzP4l/B34ceH/+Ff8A9keHfsn9t/E3wr4e1T/ib67P9p0fUvt/220/0nU5vJ87yIv9It/Kuo9v7mZNz7gD0z/hnz4Q/wDQo/8Alf8AE/8A8uaAD/hnz4Q/9Cj/AOV/xP8A/LmgA/4Z8+EP/Qo/+V/xP/8ALmgA/wCGfPhD/wBCj/5X/E//AMuaAD/hnz4Q/wDQo/8Alf8AE/8A8uaAD/hnz4Q/9Cj/AOV/xP8A/LmgA/4Z8+EP/Qo/+V/xP/8ALmgA/wCGfPhD/wBCj/5X/E//AMuaAOZ8a/A34W6R4N8W6rp/hf7Pf6Z4Z17ULGf+2/EUvkXllpV1c203lT6tJDJ5c0SP5c0ckT7dsiMhZWADwV8Dfhbq/g3wlquoeF/tF/qfhnQdQvp/7b8RRefeXulWtzczeVBq0cMfmTSu/lwxxxJu2xoqBVUA6b/hnz4Q/wDQo/8Alf8AE/8A8uaAD/hnz4Q/9Cj/AOV/xP8A/LmgA/4Z8+EP/Qo/+V/xP/8ALmgA/wCGfPhD/wBCj/5X/E//AMuaAD/hnz4Q/wDQo/8Alf8AE/8A8uaAD/hnz4Q/9Cj/AOV/xP8A/LmgA/4Z8+EP/Qo/+V/xP/8ALmgA/wCGfPhD/wBCj/5X/E//AMuaAPM/C3wd+HGo/Ef4p6DeeHfO0nw5/wAIP/Ytp/a+ux/Y/wC2NCuLzUf38Wppc3H2i5jWT/S5p/Kxsg8qMlKAPTP+GfPhD/0KP/lf8T//AC5oAP8Ahnz4Q/8AQo/+V/xP/wDLmgA/4Z8+EP8A0KP/AJX/ABP/APLmgA/4Z8+EP/Qo/wDlf8T/APy5oAP+GfPhD/0KP/lf8T//AC5oAP8Ahnz4Q/8AQo/+V/xP/wDLmgDN1j9mX4Ha/pWoaJrPgS31HStVtJ7HULG61rxJNb3NrcxmOWKWN9YZWDKxxkfKwDDBUFe/K8zx+S5jgs2yrF18DmWXYmljMFjMNUlSr4fEUJqdOpTqQalFxktbP3leLumzjzDAYPNcDi8tzDDUsXgcdQqYbFYavCNSlWoVouFSnOElKLTTfTR2as1eP8V37YfwD8Q/saftReKPBGnSXltp+h63aeL/AIa60xkR7zwve3J1DQJ1mRwXnsGjfS70LKX+0WU3mMN4r/f/AMG+Pso8d/CHLs2zCjQxMs1yzEZBxblsuWcIZlTofVMzoyhJStTxUZrFUG4fw68HBPlfL/jb4ocHZl4Q+JeNy7B1K1COX46hnPDmOV4yngZ1frOAqRmtHPDyi8PWSb9+jJSvzWP6hP2btd+Ev7RXgL9mX4haH4djtbb4iaN41tvH+jx6xrcvkeLfCOh26ajYmZ9Sae0W01pJ7y3W0lgEtpc24m82Mqtf4heM3hzi/CrxI4m4KxPNKhluOlVyuvJNfWsnxi+s5ZiE3dtvDTjTqP8A5/Uqidmmj/WDww42w3iHwPkPFVDljVx2EjTzCjF3+r5nhv3GOotKySVeEpwS/wCXU6b1vc+3/wDhnz4Q/wDQo/8Alf8AE/8A8ua/Lj74P+GfPhD/ANCj/wCV/wAT/wDy5oAP+GfPhD/0KP8A5X/E/wD8uaAD/hnz4Q/9Cj/5X/E//wAuaAD/AIZ8+EP/AEKP/lf8T/8Ay5oAP+GfPhD/ANCj/wCV/wAT/wDy5oAP+GfPhD/0KP8A5X/E/wD8uaAD/hnz4Q/9Cj/5X/E//wAuaAPM/jF8Hfhx4V+HHiLXtB8O/YNWsP7I+yXf9r67deV9q13S7Of9xeancWz77a4mj/eQvt3702yKjqAemf8ADPnwh/6FH/yv+J//AJc0AH/DPnwh/wChR/8AK/4n/wDlzQAf8M+fCH/oUf8Ayv8Aif8A+XNAB/wz58If+hR/8r/if/5c0AH/AAz58If+hR/8r/if/wCXNAB/wz58If8AoUf/ACv+J/8A5c0AH/DPnwh/6FH/AMr/AIn/APlzQAf8M+fCH/oUf/K/4n/+XNAB/wAM+fCH/oUf/K/4n/8AlzQB5n8NPg78OPEH/CwP7X8O/a/7E+Jvirw9pf8AxN9dg+zaPpv2D7Faf6NqcPneT58v+kXHm3Um799M+1NoB6Z/wz58If8AoUf/ACv+J/8A5c0AH/DPnwh/6FH/AMr/AIn/APlzQAf8M+fCH/oUf/K/4n/+XNAB/wAM+fCH/oUf/K/4n/8AlzQAf8M+fCH/AKFH/wAr/if/AOXNAB/wz58If+hR/wDK/wCJ/wD5c0AH/DPnwh/6FH/yv+J//lzQAf8ADPnwh/6FH/yv+J//AJc0AeZ/8Kd+HH/C5P8AhFP+Ed/4kH/Cs/8AhIfsH9r67/yGP+Ep/s37X9q/tP7b/wAeX7n7P9o+y/8ALTyfN+egD0z/AIZ8+EP/AEKP/lf8T/8Ay5oAP+GfPhD/ANCj/wCV/wAT/wDy5oAP+GfPhD/0KP8A5X/E/wD8uaAD/hnz4Q/9Cj/5X/E//wAuaAD/AIZ8+EP/AEKP/lf8T/8Ay5oAP+GfPhD/ANCj/wCV/wAT/wDy5oAP+GfPhD/0KP8A5X/E/wD8uaAD/hnz4Q/9Cj/5X/E//wAuaAPM/jF8Hfhx4V+HHiLXtB8O/YNWsP7I+yXf9r67deV9q13S7Of9xeancWz77a4mj/eQvt3702yKjqAemf8ADPnwh/6FH/yv+J//AJc0AH/DPnwh/wChR/8AK/4n/wDlzQAf8M+fCH/oUf8Ayv8Aif8A+XNAB/wz58If+hR/8r/if/5c0AH/AAz58If+hR/8r/if/wCXNAB/wz58If8AoUf/ACv+J/8A5c0AH/DPnwh/6FH/AMr/AIn/APlzQAf8M+fCH/oUf/K/4n/+XNAB/wAM+fCH/oUf/K/4n/8AlzQB5n8Hfg78OPFXw48O69r3h37fq1//AGv9ru/7X121837LruqWcH7iz1O3tk2W1vDH+7hTds3vukZ3YA9M/wCGfPhD/wBCj/5X/E//AMuaAD/hnz4Q/wDQo/8Alf8AE/8A8uaAD/hnz4Q/9Cj/AOV/xP8A/LmgA/4Z8+EP/Qo/+V/xP/8ALmgA/wCGfPhD/wBCj/5X/E//AMuaAD/hnz4Q/wDQo/8Alf8AE/8A8uaAD/hnz4Q/9Cj/AOV/xP8A/LmgA/4Z8+EP/Qo/+V/xP/8ALmgDzPwt8HfhxqPxH+Keg3nh3ztJ8Of8IP8A2Laf2vrsf2P+2NCuLzUf38Wppc3H2i5jWT/S5p/Kxsg8qMlKAPTP+GfPhD/0KP8A5X/E/wD8uaAD/hnz4Q/9Cj/5X/E//wAuaAD/AIZ8+EP/AEKP/lf8T/8Ay5oAP+GfPhD/ANCj/wCV/wAT/wDy5oAP+GfPhD/0KP8A5X/E/wD8uaAD/hnz4Q/9Cj/5X/E//wAuaAD/AIZ8+EP/AEKP/lf8T/8Ay5oAP+GfPhD/ANCj/wCV/wAT/wDy5oA8z+Jfwd+HHh//AIV//ZHh37J/bfxN8K+HtU/4m+uz/adH1L7f9ttP9J1ObyfO8iL/AEi38q6j2/uZk3PuAPTP+GfPhD/0KP8A5X/E/wD8uaAD/hnz4Q/9Cj/5X/E//wAuaAD/AIZ8+EP/AEKP/lf8T/8Ay5oAP+GfPhD/ANCj/wCV/wAT/wDy5oAP+GfPhD/0KP8A5X/E/wD8uaAD/hnz4Q/9Cj/5X/E//wAuaAD/AIZ8+EP/AEKP/lf8T/8Ay5oAP+GfPhD/ANCj/wCV/wAT/wDy5oA5nxr8DfhbpHg3xbqun+F/s9/pnhnXtQsZ/wC2/EUvkXllpV1c203lT6tJDJ5c0SP5c0ckT7dsiMhZWADwV8Dfhbq/g3wlquoeF/tF/qfhnQdQvp/7b8RRefeXulWtzczeVBq0cMfmTSu/lwxxxJu2xoqBVUA6b/hnz4Q/9Cj/AOV/xP8A/LmgA/4Z8+EP/Qo/+V/xP/8ALmgA/wCGfPhD/wBCj/5X/E//AMuaAD/hnz4Q/wDQo/8Alf8AE/8A8uaAD/hnz4Q/9Cj/AOV/xP8A/LmgA/4Z8+EP/Qo/+V/xP/8ALmgA/wCGfPhD/wBCj/5X/E//AMuaAD/hnz4Q/wDQo/8Alf8AE/8A8uaAPM/C3wd+HGo/Ef4p6DeeHfO0nw5/wg/9i2n9r67H9j/tjQri81H9/FqaXNx9ouY1k/0uafysbIPKjJSgD0z/AIZ8+EP/AEKP/lf8T/8Ay5oAP+GfPhD/ANCj/wCV/wAT/wDy5oAP+GfPhD/0KP8A5X/E/wD8uaAD/hnz4Q/9Cj/5X/E//wAuaAD/AIZ8+EP/AEKP/lf8T/8Ay5oAP+GfPhD/ANCj/wCV/wAT/wDy5oAP+GfPhD/0KP8A5X/E/wD8uaAD/hnz4Q/9Cj/5X/E//wAuaAPM/FPwd+HGnfEf4WaDZ+HfJ0nxH/wnH9tWn9r67J9s/sfQre8079/Lqb3Nv9nuZGk/0SaDzc7J/NjASgD0z/hnz4Q/9Cj/AOV/xP8A/LmgA/4Z8+EP/Qo/+V/xP/8ALmgA/wCGfPhD/wBCj/5X/E//AMuaAD/hnz4Q/wDQo/8Alf8AE/8A8uaAD/hnz4Q/9Cj/AOV/xP8A/LmgA/4Z8+EP/Qo/+V/xP/8ALmgA/wCGfPhD/wBCj/5X/E//AMuaAD/hnz4Q/wDQo/8Alf8AE/8A8uaAOZ8a/A34W6R4N8W6rp/hf7Pf6Z4Z17ULGf8AtvxFL5F5ZaVdXNtN5U+rSQyeXNEj+XNHJE+3bIjIWVgA8FfA34W6v4N8JarqHhf7Rf6n4Z0HUL6f+2/EUXn3l7pVrc3M3lQatHDH5k0rv5cMccSbtsaKgVVAOm/4Z8+EP/Qo/wDlf8T/APy5oAP+GfPhD/0KP/lf8T//AC5oAP8Ahnz4Q/8AQo/+V/xP/wDLmgA/4Z8+EP8A0KP/AJX/ABP/APLmgA/4Z8+EP/Qo/wDlf8T/APy5oAP+GfPhD/0KP/lf8T//AC5oAP8Ahnz4Q/8AQo/+V/xP/wDLmgA/4Z8+EP8A0KP/AJX/ABP/APLmgD88/Gun2ekeMvFulafD9nsNM8Ta9p9jB5ksvkWdlqt1bW0PmzvJNJ5cMSJ5k0kkr7d0js5ZmAP/1v7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df8AuUoA9moAKACgAoAKACgAoAKAOM+I/wDyTzx5/wBiZ4o/9Md9QAfDj/knngP/ALEzwv8A+mOxoA7OgAoAKACgAoAKACgAoA8Z8E/8le+N/wD3TX/1GLugD2agAoAKACgAoAKACgD+f/8A4L3fC3StQ+FPwg+MMNmF1/w14yuvA95foo3TaD4i0y71S3tp24Yi21PSGkt85Cm6uAMb6/0Z/Z4cW4vDcX8a8FTrt5dmmSUc/oYdvSGYZZiqGEqVaa2TqYTG8tS2/saV/hR/Ef01eHMNX4a4W4qjStjcvzWpk9Wsre9g8fh6uJhTn1fJiMK5U9bL2lTa54l/wQ88aX2oX934Dubyeaz8NeM/EPiHTLSRy0NmvibwFPaX/kKciMXE+gQySKMBnG/BYua1/aKZDQw/FPh7xHSoU4VszyXNcrxdaKSqV5ZZi8PXw3tHvL2dPH1IQdtI6a2Rl9CbN61fh7jTJKlac6WAzXL8fhqUneNGOPw1alX5F056mEhKSW716n9Ntf5wn9whQAUAFABQAUAFABQB4z+0H/ySHxd/3AP/AFJ9FoA9moAKACgAoAKACgAoAKACgDxn4N/81V/7LN45/wDcXQB7NQAUAFABQAUAFABQAUAeM/8ANwv/AHRn/wB3egD2agAoAKACgAoAKACgAoA8Z/aD/wCSQ+Lv+4B/6k+i0AezUAFABQAUAFABQAUAFABQB4z+z5/ySHwj/wBx/wD9SfWqAPZqACgAoAKACgAoAKACgDxnwT/yV743/wDdNf8A1GLugD2agAoAKACgAoAKACgAoA8Z+Mn/ADSr/ss3gb/3KUAezUAFABQAUAFABQAUAFAHGfEf/knnjz/sTPFH/pjvqAD4cf8AJPPAf/YmeF//AEx2NAHZ0AFABQAUAFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPjb/kr3wQ/wC6lf8AqMWlAHs1ABQAUAFABQAUAFABQBxnxH/5J548/wCxM8Uf+mO+oAPhx/yTzwH/ANiZ4X/9MdjQB2dABQAUAFABQAUAFABQB+TXxH/5KH48/wCxz8Uf+ny+oA//1/7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df8AuUoA9moAKACgAoAKACgAoAKAOM+I/wDyTzx5/wBiZ4o/9Md9QAfDj/knngP/ALEzwv8A+mOxoA7OgAoAKACgAoAKACgAoA8Z8E/8le+N/wD3TX/1GLugD2agAoAKACgAoAKACgD8av8AguWoP7GulMRyvxg8HbT6Z0rxKD+Y9vyzX9v/AEA3bxuxi78F51f5YvK/6/4ZH8ofTGV/CjD+XFOVNf8AhPj1+TPzj/4IXE/8Li8Xjtstzj3/AOEa8Wiv2n9o2l9V8LX1+scTL5ezyn/I/LPoQP8Af+IC6exyF/8Ak+Y/1/w5/VjX+W5/oEFABQAUAFABQAUAFAHjP7Qf/JIfF3/cA/8AUn0WgD2agAoAKACgAoAKACgAoAKAPGfg3/zVX/ss3jn/ANxdAHs1ABQAUAFABQAUAFABQB4z/wA3C/8AdGf/AHd6APZqACgAoAKACgAoAKACgDxn9oP/AJJD4u/7gH/qT6LQB7NQAUAFABQAUAFABQAUAFAHjP7Pn/JIfCP/AHH/AP1J9aoA9moAKACgAoAKACgAoAKAPGfBP/JXvjf/AN01/wDUYu6APZqACgAoAKACgAoAKACgDxn4yf8ANKv+yzeBv/cpQB7NQAUAFABQAUAFABQAUAcZ8R/+SeePP+xM8Uf+mO+oAPhx/wAk88B/9iZ4X/8ATHY0AdnQAUAFABQAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM+Nv+SvfBD/ALqV/wCoxaUAezUAFABQAUAfzs/8F4v+C8Vt/wAEdrf4JeEvCXwSt/jX8WvjXb+IfEVhYeIvEN54X8HeHvB3ha8sNN1C9vb/AE6xv9Qv9Xv9Q1BLexsbdbeO3it5bm5ldXjjoA+df+CdX/B2Z+w3+2R438NfB/46eFdf/ZC+J3iY22n6Pq/jfXtK174Qa34gnZIotJg8d266Zc+H5764dYdO/wCEm0ayspZWWGTVEdk3AH9VVtc217bW95Z3EN3aXcMVza3VtKk9tc206LLBcW88TNFNDNEyyRSxsySIyujFSCwBNQBxnxH/AOSeePP+xM8Uf+mO+oAPhx/yTzwH/wBiZ4X/APTHY0AdnQAUAFABQAUAFABQAUAfk18R/wDkofjz/sc/FH/p8vqAP//Q/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/APdNf/UYu6APZqACgAoAKACgAoAKAPxt/wCC5K5/Yy04/wB34v8Agw/npviQf19v1w39ufQFdvHDErvwXnn4YrLH/Vz+Uvpiq/hNRfbijKfxoY7+uv6x/N7/AIIXEf8AC5PF47+VbnHt/wAI34tFftv7Rtf7J4XPp9Z4lX/lLKj8q+hB/vHiB/15yH/0vMT+rOv8tj/QIKACgAoAKACgAoAKAPGf2g/+SQ+Lv+4B/wCpPotAHs1ABQAUAFABQAUAFABQAUAeM/Bv/mqv/ZZvHP8A7i6APZqACgAoAKACgAoAKACgDxn/AJuF/wC6M/8Au70AezUAFABQAUAFABQAUAFAHjP7Qf8AySHxd/3AP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef8AuP8A/qT61QB7NQAUAFABQAUAFABQAUAeM+Cf+SvfG/8A7pr/AOoxd0AezUAFABQAUAFABQAUAFAHjPxk/wCaVf8AZZvA3/uUoA9moAKACgAoAKACgAoAKAOM+I//ACTzx5/2Jnij/wBMd9QAfDj/AJJ54D/7Ezwv/wCmOxoA7OgAoAKACgAoAKACgAoA8Z8E/wDJXvjf/wB01/8AUYu6APZqACgAoAKACgAoAKACgDxnxt/yV74If91K/wDUYtKAPZqACgAoAKAPzl/4KKf8ErP2OP8AgqJ4F8N+C/2q/Aeo6zeeB7nUbzwH478I65ceFvHfg6fVooo9Ri0rW7aOeK402/a2tJrzSNWstR02aa1ik+zJJukoA/z1P+CyP/Br3+0B+wJp+ufHj9le+8S/tLfst6XbNqPiUPYQS/F74VWsaBrm78UaJo9rBb+JfDEL7/8AipNBs4pLGLyhq2mQKXuqANL/AIIYf8HLXxa/YN1bw3+zl+2Bq/ij4yfsh3l3aaXo2v3dzc678Q/gPFNIkIuvD9xdyyXXiHwLa7vPvPCc0z3OnxrNLoEgLGyYA/06/hF8X/hj8evhz4T+Lnwb8b+HfiN8NvHOkWuueFfGHhbUYdT0fV9Ou41kjlhuITmOaPcYrq0nWK7s7hZLa7ghnjeNQDV+I/8AyTzx5/2Jnij/ANMd9QAfDj/knngP/sTPC/8A6Y7GgDs6ACgAoAKACgAoAKACgD8mviP/AMlD8ef9jn4o/wDT5fUAf//R/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/APdNf/UYu6APZqACgAoAKACgAoAKAPyF/wCC3NmLj9iG9uMZNh8U/ANxnH3RK+rWZOe3NyF7Z3Y9m/s/6Btf2Xj1Qp3/AN54S4ip+rhHB17eelJvpt8pfy59L6l7TwfrT/58cR5JU/8AAniqX51F/Vj8sf8Aghdd4/aA8W2O772iw3YTPJ2aN4qhLY68b1Gff3r+if2jWHvkHhjirfBnHEOHcv8Ar5gsvqJX8/ZN9Nuv2fxT6ENa2b8fYe+sstyWslf+TFYyDdvL2iV/O3U/rIr/ACnP9DgoAKACgAoAKACgAoA8Z/aD/wCSQ+Lv+4B/6k+i0AezUAFABQAUAFABQAUAFABQB4z8G/8Amqv/AGWbxz/7i6APZqACgAoAKACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQAUAFABQAUAFABQAUAeM+Cf+SvfG/wD7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/uUoA9moAKACgAoAKACgAoAKAOM+I/8AyTzx5/2Jnij/ANMd9QAfDj/knngP/sTPC/8A6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/wDdNf8A1GLugD2agAoAKACgAoAKACgAoA8Z8bf8le+CH/dSv/UYtKAPZqACgAoAKACgCG4t7e8t57S7ghurW6hlt7m2uIknt7i3nQxzQTwyBo5oZo2aOWKRWSRGKOCpIoA/hR/4L5f8GvGleO4PGn7Y/wDwTb8IWujeOEXUfE/xY/Zh0WKO10jxc48291TxR8IrVQkGleIpv3tzqHgpNmn6rPum0QW13M9o4B/NT/wRn/4LdftF/wDBIH4w3HgrxLaeJPHX7Meu+JGsfjD8AtdmurPUfC2pQ3Zs9W8T+BLbU9h8KeNtLdZhqWmSQw2WtSQPaarbpcgXCAH+qb8HP2rvgP8Atp/soXf7QX7OXj7SviF8NfGnw+8S3NjqOnyot/pN+ug3f2/w74l0ssbvQfEmjzsbXVdIvlSe2mXcpltpLeeUA+ivhx/yTzwH/wBiZ4X/APTHY0AdnQAUAFABQAUAFABQAUAfk18R/wDkofjz/sc/FH/p8vqAP//S/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/APdNf/UYu6APZqACgAoAKACgAoAKAPzL/wCCpt34U1v4AWHwu8RQm8m8ceLtFv4rRJHidbHwpcrqtzcmSNkdFa5NlZ5U5ZLmUDaRurhr+OXFPgNi6PFXAuKw+D4wxeDzHKsrxmIw1LGU8DRxuHVDG41YaupUKlalRqOOH9rCpThXlTqSpy5bH8q/S2z7AYTw8w3DlZKpjeIc2ws6FO+tPDZXNYrEV9NV+8dCjHTX2s9rM/NT/gmZ4B8O/Dn9sbRT4Yt3sLHxZ4D8Yw3Wn+dNPFFd6HYfaIpoWmLyIssN9Kro0jDemVC7mr9DyL6TviV9IbwkzbIvFHMKXEGd+H3F2R5plfESwWDwOKxGWcR4DPMFiMDjqeCpYehXq4fFYCjUoV4YelL2NWVOpz8kHH8J+h7VhgvELPsHTTUcw4WrSaV7c+CzHAyi+y92vJXb8le5/S/XxR/pAFABQAUAFABQAUAFAHjP7Qf/ACSHxd/3AP8A1J9FoA9moAKACgAoAKACgAoAKACgDxn4N/8ANVf+yzeOf/cXQB7NQAUAFABQAUAFABQAUAeM/wDNwv8A3Rn/AN3egD2agAoAKACgAoAKACgAoA8Z/aD/AOSQ+Lv+4B/6k+i0AezUAFABQAUAFABQAUAFABQB4z+z5/ySHwj/ANx//wBSfWqAPZqACgAoAKACgAoAKACgDxnwT/yV743/APdNf/UYu6APZqACgAoAKACgAoAKACgDxn4yf80q/wCyzeBv/cpQB7NQAUAFABQAUAFABQAUAcZ8R/8Aknnjz/sTPFH/AKY76gA+HH/JPPAf/YmeF/8A0x2NAHZ0AFABQAUAFABQAUAFAHjPgn/kr3xv/wC6a/8AqMXdAHs1ABQAUAFABQAUAFABQB4z42/5K98EP+6lf+oxaUAezUAFABQAUAFABQAUAfyL/wDBf7/g288G/tz6X4o/ay/Y10LRfAn7XmnWVxqvjLwPZxW+k+Ff2hIbOEu5mWNY7XR/iaIY/LstZ2pbeJSIrPV2W9WG9YA/ho/4J3/8FMf2vv8Agjn8e/HXhqysfEVr4Q1a81TwJ+0V+zX44W+0uy1Ro4rjSL+5XTLxQ3hvx9oEcryaRrsEKG4RY7O/+1aZOmwA/wBZv/gnZ+2p8AP28P2VPhf8b/2e/GVl4n8Oz+F9B0TxJo5lij8SeBvFumaRaW+seEvFulBjPpmr6dcxyKvmKIL+38u9spJbeQNQB9yUAFABQAUAFABQAUAFAH5NfEf/AJKH48/7HPxR/wCny+oA/9P+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoAKACgAoAKACgAoAKAPGfBP/JXvjf8A901/9Ri7oA9moAKACgAoAKACgAoA/G3/AIKh3Eh8W/Ci1z+6Tw74iuAP+mkmpWMbHHT7sS9vyr+b/HSb+v5BT6LB4ufzlWpr8oo/gb6ZFWTzzgmh9iOVZrVX+KeMw0H+EF0+48h/4J32ltJ8f7C9eGNru20fWbe3nZcyQw3eiau9zHGf4RM1rbmTAyfJQcAGtfAnE14YriPCQqzjh8RhsurV6KdoVauFrYmOHnNdXSjisQobpe1k97OPL9DmjSlxRxhiJU4utRyHBUqVVq86dOvj+atGL6Ko6FFy78i7M/fCv6LP9AwoAKACgAoAKACgAoA8Z/aD/wCSQ+Lv+4B/6k+i0AezUAFABQAUAFABQAUAFABQB4z8G/8Amqv/AGWbxz/7i6APZqACgAoAKACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQAUAFABQAUAFABQAUAeM+Cf+SvfG/wD7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/uUoA9moAKACgAoAKACgAoAKAOM+I/8AyTzx5/2Jnij/ANMd9QAfDj/knngP/sTPC/8A6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/wDdNf8A1GLugD2agAoAKACgAoAKACgAoA8Z8bf8le+CH/dSv/UYtKAPZqACgAoAKACgAoAKACgD+Xf/AIODP+CA3w0/4KK/DjxP+0v8CtP0T4e/tm/DvwzqGrHU4oItO0P446DoNjNev4S8bmGNUXxGtvA8XhjxZIrXFtOUsNSafTpSYAD+Ab/gmz/wUd/as/4Ir/teX2t2Gk+I7HSrHXY/CP7Rf7PHih7vS7Hxfotncol7bXOn3BEOneK9LhY33hbxHHEcM0OJp9KvN1AH+up+xb+2d8Bv29/2fPA/7SP7O/i228UeBPGVijXFsXjTXPCXiCGOP+2PCHirTg7TaV4h0O6Zra+tJ1XdtjuYDLbTRSsAfVtABQAUAFABQAUAFAH5NfEf/kofjz/sc/FH/p8vqAP/1P7rP+F0/Bz/AKKz8M//AAvPC3/y2oAP+F0/Bz/orPwz/wDC88Lf/LagA/4XT8HP+is/DP8A8Lzwt/8ALagA/wCF0/Bz/orPwz/8Lzwt/wDLagA/4XT8HP8AorPwz/8AC88Lf/LagDx3/hcnwh/4aA8//havw38j/hTvled/wnPhjyvN/wCE13+X5n9qbfM2fNs3btvO3HNAHsX/AAun4Of9FZ+Gf/heeFv/AJbUAH/C6fg5/wBFZ+Gf/heeFv8A5bUAH/C6fg5/0Vn4Z/8AheeFv/ltQAf8Lp+Dn/RWfhn/AOF54W/+W1AB/wALp+Dn/RWfhn/4Xnhb/wCW1AB/wun4Of8ARWfhn/4Xnhb/AOW1AB/wun4Of9FZ+Gf/AIXnhb/5bUAH/C6fg5/0Vn4Z/wDheeFv/ltQB478fvjJ8IZ/hJ4sih+Kvw3mlb+wdscXjnwxI7Y8TaMx2ouqMxwoLHCnABJwBmgD2L/hdPwc/wCis/DP/wALzwt/8tqAD/hdPwc/6Kz8M/8AwvPC3/y2oAP+F0/Bz/orPwz/APC88Lf/AC2oAP8AhdPwc/6Kz8M//C88Lf8Ay2oAP+F0/Bz/AKKz8M//AAvPC3/y2oAP+F0/Bz/orPwz/wDC88Lf/LagA/4XT8HP+is/DP8A8Lzwt/8ALagA/wCF0/Bz/orPwz/8Lzwt/wDLagA/4XT8HP8AorPwz/8AC88Lf/LagDx34A/GT4QwfCTwnFN8VfhvDKv9vbo5fHPhiN1z4m1lhuRtUVhlSGGVGQQRkHNAHsX/AAun4Of9FZ+Gf/heeFv/AJbUAfxDf8Hr3jTwd4w+A37Cx8JeLPDXigaf8Xfi0L8+Hdd0vWxYm68G+GvsovDpt1dfZjci2uPI84p53kTeXu8p9gB7J/wZg+NfBvg/9g79pj/hLfFvhnwv/aP7Us39n/8ACRa9peifbvsnww8Efa/sf9pXdr9p+y/arb7R5O/yftEHmbfOTeAf2K/8Lp+Dn/RWfhn/AOF54W/+W1AB/wALp+Dn/RWfhn/4Xnhb/wCW1AB/wun4Of8ARWfhn/4Xnhb/AOW1AB/wun4Of9FZ+Gf/AIXnhb/5bUAH/C6fg5/0Vn4Z/wDheeFv/ltQB474L+MnwhT4t/GuV/ir8N1il/4Vx5UjeOfDASXy/DN0snludUCvsbCvtZtp4O0nDAHsX/C6fg5/0Vn4Z/8AheeFv/ltQAf8Lp+Dn/RWfhn/AOF54W/+W1AB/wALp+Dn/RWfhn/4Xnhb/wCW1AB/wun4Of8ARWfhn/4Xnhb/AOW1AB/wun4Of9FZ+Gf/AIXnhb/5bUAH/C6fg5/0Vn4Z/wDheeFv/ltQAf8AC6fg5/0Vn4Z/+F54W/8AltQAf8Lp+Dn/AEVn4Z/+F54W/wDltQB478YPjJ8IZf8AhVvlfFX4byeX8YvBEsnl+OfDD+XEn9p75H26o22NMjc7bVXPLDIoA9i/4XT8HP8AorPwz/8AC88Lf/LagA/4XT8HP+is/DP/AMLzwt/8tqAD/hdPwc/6Kz8M/wDwvPC3/wAtqAD/AIXT8HP+is/DP/wvPC3/AMtqAD/hdPwc/wCis/DP/wALzwt/8tqAD/hdPwc/6Kz8M/8AwvPC3/y2oAP+F0/Bz/orPwz/APC88Lf/AC2oAP8AhdPwc/6Kz8M//C88Lf8Ay2oA474ifGf4PSfD/wAdInxX+Gru/g7xOiInjrwuzOzaJfBVVRqpLMxIAABJJwAeBQAfDv4z/B6P4f8AgVH+K/w1R08HeGEdH8deF1ZGXRLEMrKdVBVlIIIIBBGCByKAOx/4XT8HP+is/DP/AMLzwt/8tqAD/hdPwc/6Kz8M/wDwvPC3/wAtqAD/AIXT8HP+is/DP/wvPC3/AMtqAD/hdPwc/wCis/DP/wALzwt/8tqAD/hdPwc/6Kz8M/8AwvPC3/y2oAP+F0/Bz/orPwz/APC88Lf/AC2oAP8AhdPwc/6Kz8M//C88Lf8Ay2oAP+F0/Bz/AKKz8M//AAvPC3/y2oA8d8F/GT4Qp8W/jXK/xV+G6xS/8K48qRvHPhgJL5fhm6WTy3OqBX2NhX2s208HaThgD2L/AIXT8HP+is/DP/wvPC3/AMtqAD/hdPwc/wCis/DP/wALzwt/8tqAD/hdPwc/6Kz8M/8AwvPC3/y2oAP+F0/Bz/orPwz/APC88Lf/AC2oAP8AhdPwc/6Kz8M//C88Lf8Ay2oAP+F0/Bz/AKKz8M//AAvPC3/y2oAP+F0/Bz/orPwz/wDC88Lf/LagD8kP+CkPi/wn4u8YfDO48J+KPDvieCz8Na3Ddz+Htb03WobWaTVLZ44rmTTbq5SCSRFLokrKzqCwBAyv82+Of/IyyL/sBxP/AKkRP4B+mP8A8lFwX/2Jcy/9TqR5T+wp418LeCvjjpd14s1vT/D1he2epW8eqavdwWGlwzHRdYijju7+6kitrXz5biKKF5nRGkYJuUsK8zwZzjL8uzzHYTG144epmeGpUMJKelOpWp1XP2Tm2lCc0/3ad+d3j7rsz576J/FGS5DxlnGW5tjI4OvxFl+FwWVzq2jQrYvD4mdZ4edVtKnUqwlagnpUmnC6k4n7i/8AC6fg5/0Vn4Z/+F54W/8AltX9Sn+j4f8AC6fg5/0Vn4Z/+F54W/8AltQAf8Lp+Dn/AEVn4Z/+F54W/wDltQAf8Lp+Dn/RWfhn/wCF54W/+W1AB/wun4Of9FZ+Gf8A4Xnhb/5bUAH/AAun4Of9FZ+Gf/heeFv/AJbUAH/C6fg5/wBFZ+Gf/heeFv8A5bUAH/C6fg5/0Vn4Z/8AheeFv/ltQB478fvjJ8IZ/hJ4sih+Kvw3mlb+wdscXjnwxI7Y8TaMx2ouqMxwoLHCnABJwBmgD2L/AIXT8HP+is/DP/wvPC3/AMtqAD/hdPwc/wCis/DP/wALzwt/8tqAD/hdPwc/6Kz8M/8AwvPC3/y2oAP+F0/Bz/orPwz/APC88Lf/AC2oAP8AhdPwc/6Kz8M//C88Lf8Ay2oAP+F0/Bz/AKKz8M//AAvPC3/y2oAP+F0/Bz/orPwz/wDC88Lf/LagA/4XT8HP+is/DP8A8Lzwt/8ALagA/wCF0/Bz/orPwz/8Lzwt/wDLagDx34P/ABk+EMX/AAtLzfir8N4/M+MXjeWPzPHPhhPMif8AszZIm7VF3Rvg7XXcrY4Y4NAHsX/C6fg5/wBFZ+Gf/heeFv8A5bUAH/C6fg5/0Vn4Z/8AheeFv/ltQAf8Lp+Dn/RWfhn/AOF54W/+W1AB/wALp+Dn/RWfhn/4Xnhb/wCW1AB/wun4Of8ARWfhn/4Xnhb/AOW1AB/wun4Of9FZ+Gf/AIXnhb/5bUAH/C6fg5/0Vn4Z/wDheeFv/ltQAf8AC6fg5/0Vn4Z/+F54W/8AltQB47/wuT4Q/wDDQHn/APC1fhv5H/CnfK87/hOfDHleb/wmu/y/M/tTb5mz5tm7dt5245oA9i/4XT8HP+is/DP/AMLzwt/8tqAD/hdPwc/6Kz8M/wDwvPC3/wAtqAD/AIXT8HP+is/DP/wvPC3/AMtqAD/hdPwc/wCis/DP/wALzwt/8tqAD/hdPwc/6Kz8M/8AwvPC3/y2oAP+F0/Bz/orPwz/APC88Lf/AC2oAP8AhdPwc/6Kz8M//C88Lf8Ay2oAP+F0/Bz/AKKz8M//AAvPC3/y2oA8d+P3xk+EM/wk8WRQ/FX4bzSt/YO2OLxz4YkdseJtGY7UXVGY4UFjhTgAk4AzQB7F/wALp+Dn/RWfhn/4Xnhb/wCW1AB/wun4Of8ARWfhn/4Xnhb/AOW1AB/wun4Of9FZ+Gf/AIXnhb/5bUAH/C6fg5/0Vn4Z/wDheeFv/ltQAf8AC6fg5/0Vn4Z/+F54W/8AltQAf8Lp+Dn/AEVn4Z/+F54W/wDltQAf8Lp+Dn/RWfhn/wCF54W/+W1AB/wun4Of9FZ+Gf8A4Xnhb/5bUAH/AAun4Of9FZ+Gf/heeFv/AJbUAeO/AH4yfCGD4SeE4pvir8N4ZV/t7dHL458MRuufE2ssNyNqisMqQwyoyCCMg5oA9i/4XT8HP+is/DP/AMLzwt/8tqAD/hdPwc/6Kz8M/wDwvPC3/wAtqAD/AIXT8HP+is/DP/wvPC3/AMtqAD/hdPwc/wCis/DP/wALzwt/8tqAD/hdPwc/6Kz8M/8AwvPC3/y2oAP+F0/Bz/orPwz/APC88Lf/AC2oAP8AhdPwc/6Kz8M//C88Lf8Ay2oAP+F0/Bz/AKKz8M//AAvPC3/y2oA8d8F/GT4Qp8W/jXK/xV+G6xS/8K48qRvHPhgJL5fhm6WTy3OqBX2NhX2s208HaThgD2L/AIXT8HP+is/DP/wvPC3/AMtqAD/hdPwc/wCis/DP/wALzwt/8tqAD/hdPwc/6Kz8M/8AwvPC3/y2oAP+F0/Bz/orPwz/APC88Lf/AC2oAP8AhdPwc/6Kz8M//C88Lf8Ay2oAP+F0/Bz/AKKz8M//AAvPC3/y2oAP+F0/Bz/orPwz/wDC88Lf/LagA/4XT8HP+is/DP8A8Lzwt/8ALagDx34wfGT4Qy/8Kt8r4q/DeTy/jF4Ilk8vxz4Yfy4k/tPfI+3VG2xpkbnbaq55YZFAHsX/AAun4Of9FZ+Gf/heeFv/AJbUAH/C6fg5/wBFZ+Gf/heeFv8A5bUAH/C6fg5/0Vn4Z/8AheeFv/ltQAf8Lp+Dn/RWfhn/AOF54W/+W1AB/wALp+Dn/RWfhn/4Xnhb/wCW1AB/wun4Of8ARWfhn/4Xnhb/AOW1AB/wun4Of9FZ+Gf/AIXnhb/5bUAH/C6fg5/0Vn4Z/wDheeFv/ltQBx3xE+M/wek+H/jpE+K/w1d38HeJ0RE8deF2Z2bRL4KqqNVJZmJAAAJJOADwKAD4d/Gf4PR/D/wKj/Ff4ao6eDvDCOj+OvC6sjLoliGVlOqgqykEEEAgjBA5FAHY/wDC6fg5/wBFZ+Gf/heeFv8A5bUAH/C6fg5/0Vn4Z/8AheeFv/ltQAf8Lp+Dn/RWfhn/AOF54W/+W1AB/wALp+Dn/RWfhn/4Xnhb/wCW1AB/wun4Of8ARWfhn/4Xnhb/AOW1AB/wun4Of9FZ+Gf/AIXnhb/5bUAH/C6fg5/0Vn4Z/wDheeFv/ltQAf8AC6fg5/0Vn4Z/+F54W/8AltQB474L+MnwhT4t/GuV/ir8N1il/wCFceVI3jnwwEl8vwzdLJ5bnVAr7Gwr7WbaeDtJwwB7F/wun4Of9FZ+Gf8A4Xnhb/5bUAH/AAun4Of9FZ+Gf/heeFv/AJbUAH/C6fg5/wBFZ+Gf/heeFv8A5bUAH/C6fg5/0Vn4Z/8AheeFv/ltQAf8Lp+Dn/RWfhn/AOF54W/+W1AB/wALp+Dn/RWfhn/4Xnhb/wCW1AB/wun4Of8ARWfhn/4Xnhb/AOW1AB/wun4Of9FZ+Gf/AIXnhb/5bUAeO+NPjJ8IX+LfwUlT4q/Ddoov+Fj+bIvjnwwUi8zwzarH5jjVCqb2yqbmXceBuIwoB7F/wun4Of8ARWfhn/4Xnhb/AOW1AB/wun4Of9FZ+Gf/AIXnhb/5bUAH/C6fg5/0Vn4Z/wDheeFv/ltQAf8AC6fg5/0Vn4Z/+F54W/8AltQAf8Lp+Dn/AEVn4Z/+F54W/wDltQAf8Lp+Dn/RWfhn/wCF54W/+W1AB/wun4Of9FZ+Gf8A4Xnhb/5bUAH/AAun4Of9FZ+Gf/heeFv/AJbUAcd8RPjP8HpPh/46RPiv8NXd/B3idERPHXhdmdm0S+CqqjVSWZiQAACSTgA8CgD+Vr/gu/8A8Ea/2fP+CiXwD8NftOfs1+OPhF4c/bW+Hvwx8ONe6XbeNvCGnWvx98N6R4etH/4RTXCNTiRfHOnRI6eFdZuAJLpv+JJeu0ctu0QB/Gp/wSC/4K2/tA/8Ebv2m7+4k0/Xdd+DHiLXYvDf7RXwD1SeWzF/Hpt0bG417RLa5Jh0T4h+FwJ/7OvwqR6hCj6Rqnm2M0bwAH93Hw7/AODtj/gm38TP2svA37N2h6F8XLHwX4/1fw14Y0f9oTXdN0LSvAVn4p8Ux2UdhY6xos2rf8JJp2k2+rX0Wj6hr0tsYbS5SWZ7M2iGegD+n/RNe0LxLYR6r4d1rSdf0uV5I4tS0TUbPVbCSSI7ZY47yxmuLd3jb5ZFWUsh4YKeKANagAoAKACgAoA/Jr4j/wDJQ/Hn/Y5+KP8A0+X1AH//1f5aP+HIv/BY3/owX9qf/wAIzUf/AJLoAP8AhyL/AMFjf+jBf2p//CM1H/5LoAP+HIv/AAWN/wCjBf2p/wDwjNR/+S6AD/hyL/wWN/6MF/an/wDCM1H/AOS6AD/hyL/wWN/6MF/an/8ACM1H/wCS6AM3/hy3/wAFef7Y/sL/AIYR/af/ALa/s3+1v7P/AOEP1D7X/Zf2r7H9s2fa8/Z/tf7jf083igDS/wCHIv8AwWN/6MF/an/8IzUf/kugA/4ci/8ABY3/AKMF/an/APCM1H/5LoAP+HIv/BY3/owX9qf/AMIzUf8A5LoAP+HIv/BY3/owX9qf/wAIzUf/AJLoAP8AhyL/AMFjf+jBf2p//CM1H/5LoAP+HIv/AAWN/wCjBf2p/wDwjNR/+S6AD/hyL/wWN/6MF/an/wDCM1H/AOS6AD/hyL/wWN/6MF/an/8ACM1H/wCS6AM3V/8Agi3/AMFedD0641TWv2Ef2n9P0218r7Td3fg/UEt4fPnit4fMY3eB5lxNFEmeruo70AaX/DkX/gsb/wBGC/tT/wDhGaj/APJdAB/w5F/4LG/9GC/tT/8AhGaj/wDJdAB/w5F/4LG/9GC/tT/+EZqP/wAl0AH/AA5F/wCCxv8A0YL+1P8A+EZqP/yXQAf8ORf+Cxv/AEYL+1P/AOEZqP8A8l0AH/DkX/gsb/0YL+1P/wCEZqP/AMl0AH/DkX/gsb/0YL+1P/4Rmo//ACXQAf8ADkX/AILG/wDRgv7U/wD4Rmo//JdAB/w5F/4LG/8ARgv7U/8A4Rmo/wDyXQBm6R/wRb/4K865p1vqmi/sI/tP6hpt15v2a7tPB+oPbzeRPLbzeWwu8Hy7iGWJ8dHRh2oA0v8AhyL/AMFjf+jBf2p//CM1H/5LoA+Zf2nP2Bf23/2P/DvhrxL+1b+zz8Vfgh4f8Ya1caF4TvPiXp39ir4h1mysZL+9ttGtLq8e7v20+yxLqFzbW72+ni6soruaGXUbJJwC/wDs1f8ABPX9vL9rvwbq3jn9lr9m74w/GzwV4d1+bwtrWt/DjSZdZ07R/EMdlZ6pJpV+ttdJJZ3TWWo2l4iywos8c++JnKS7QD6L/wCHIv8AwWN/6MF/an/8IzUf/kugA/4ci/8ABY3/AKMF/an/APCM1H/5LoAP+HIv/BY3/owX9qf/AMIzUf8A5LoAP+HIv/BY3/owX9qf/wAIzUf/AJLoAP8AhyL/AMFjf+jBf2p//CM1H/5LoAzbX/gi3/wV5vNR1TS7T9hH9p+fUtH+xf2taReD9QNxZf2hA1xY/aV+15T7Tbq0sOfvICR3oA0v+HIv/BY3/owX9qf/AMIzUf8A5LoAP+HIv/BY3/owX9qf/wAIzUf/AJLoAP8AhyL/AMFjf+jBf2p//CM1H/5LoAP+HIv/AAWN/wCjBf2p/wDwjNR/+S6AD/hyL/wWN/6MF/an/wDCM1H/AOS6AD/hyL/wWN/6MF/an/8ACM1H/wCS6AD/AIci/wDBY3/owX9qf/wjNR/+S6AD/hyL/wAFjf8AowX9qf8A8IzUf/kugDN1L/gi3/wV50n7B/an7CP7T9n/AGlqVrpOnfaPB+oL9q1S88z7JZwZu/muZ/Kk8pBydrY6UAaX/DkX/gsb/wBGC/tT/wDhGaj/APJdAB/w5F/4LG/9GC/tT/8AhGaj/wDJdAB/w5F/4LG/9GC/tT/+EZqP/wAl0AH/AA5F/wCCxv8A0YL+1P8A+EZqP/yXQAf8ORf+Cxv/AEYL+1P/AOEZqP8A8l0AH/DkX/gsb/0YL+1P/wCEZqP/AMl0AH/DkX/gsb/0YL+1P/4Rmo//ACXQAf8ADkX/AILG/wDRgv7U/wD4Rmo//JdAFa8/4Iof8Fg7Czu76+/YL/ajtrKytp7u8uJvBuoLDBa20TzXE0rG7wI4okd3J6KpPagAs/8Agih/wWDv7O0vrH9gv9qO5sr22gu7O4h8G6g0M9rcxJNbzRMLvBjlidHQjqrA96ALP/DkX/gsb/0YL+1P/wCEZqP/AMl0AH/DkX/gsb/0YL+1P/4Rmo//ACXQAf8ADkX/AILG/wDRgv7U/wD4Rmo//JdAB/w5F/4LG/8ARgv7U/8A4Rmo/wDyXQAf8ORf+Cxv/Rgv7U//AIRmo/8AyXQAf8ORf+Cxv/Rgv7U//hGaj/8AJdAB/wAORf8Agsb/ANGC/tT/APhGaj/8l0AH/DkX/gsb/wBGC/tT/wDhGaj/APJdAGba/wDBFv8A4K83mo6ppdp+wj+0/PqWj/Yv7WtIvB+oG4sv7Qga4sftK/a8p9pt1aWHP3kBI70AaX/DkX/gsb/0YL+1P/4Rmo//ACXQAf8ADkX/AILG/wDRgv7U/wD4Rmo//JdAB/w5F/4LG/8ARgv7U/8A4Rmo/wDyXQAf8ORf+Cxv/Rgv7U//AIRmo/8AyXQAf8ORf+Cxv/Rgv7U//hGaj/8AJdAB/wAORf8Agsb/ANGC/tT/APhGaj/8l0AH/DkX/gsb/wBGC/tT/wDhGaj/APJdAH9Bn/BGL9jr9rH9j34d/Gzw/wDtXfBD4lfBLXPGfjTw1rHhHTfiTpE+k3mu6Tpuh3VlqF9pkc8spmtrW8migndSoWV1Bzn5f5t8c/8AkZZF/wBgOJ/9SIn8A/TH/wCSi4L/AOxLmX/qdSP2euLSO9trm2urP7XY3EMlteJNam4sZYblHie0uy8b2xF1EZV+zTkG5iWfajpFNt/D4QrKDxNOM1CjVpRdaCaVKrPnnRvNfDKXspuHwt8jaelj+PqVLFRpzx1CFaNLCV8NCeKpc8Vh8RWVaphU6sdadWosLXnRd1JujNxu4tx/k0/4KA/8EU/2irr42yeKP2Fvhd41+Lvg34hT32q3fww8Cv8A2j4i8A61uNxqEGnaTJew3d94Vui7XFi1pHM+kHfZXGLcW7r/AFL4Y8eriDDRybNKiWcYSmlSqyaTzDDwXx764ikv4qXxxXtFy2kpf6O/R58a4cbZfT4U4jxMY8VZZQSw2IqSUXneBoxUfaq7V8dh42WJik/awtXSi+eJ8Qf8ORf+Cxv/AEYL+1P/AOEZqP8A8l1+un9RB/w5F/4LG/8ARgv7U/8A4Rmo/wDyXQAf8ORf+Cxv/Rgv7U//AIRmo/8AyXQAf8ORf+Cxv/Rgv7U//hGaj/8AJdAB/wAORf8Agsb/ANGC/tT/APhGaj/8l0AH/DkX/gsb/wBGC/tT/wDhGaj/APJdAB/w5F/4LG/9GC/tT/8AhGaj/wDJdAGbq/8AwRb/AOCvOh6dcaprX7CP7T+n6ba+V9pu7vwfqCW8PnzxW8PmMbvA8y4miiTPV3Ud6ANL/hyL/wAFjf8AowX9qf8A8IzUf/kugA/4ci/8Fjf+jBf2p/8AwjNR/wDkugA/4ci/8Fjf+jBf2p//AAjNR/8AkugA/wCHIv8AwWN/6MF/an/8IzUf/kugA/4ci/8ABY3/AKMF/an/APCM1H/5LoAP+HIv/BY3/owX9qf/AMIzUf8A5LoAP+HIv/BY3/owX9qf/wAIzUf/AJLoAP8AhyL/AMFjf+jBf2p//CM1H/5LoAP+HIv/AAWN/wCjBf2p/wDwjNR/+S6AM3Tf+CLf/BXnVvt/9l/sI/tP3n9m6ldaTqP2fwfqDfZdUs/L+12c+Lv5bmDzY/NQ8jcuetAGl/w5F/4LG/8ARgv7U/8A4Rmo/wDyXQAf8ORf+Cxv/Rgv7U//AIRmo/8AyXQAf8ORf+Cxv/Rgv7U//hGaj/8AJdAB/wAORf8Agsb/ANGC/tT/APhGaj/8l0AH/DkX/gsb/wBGC/tT/wDhGaj/APJdAB/w5F/4LG/9GC/tT/8AhGaj/wDJdAB/w5F/4LG/9GC/tT/+EZqP/wAl0AH/AA5F/wCCxv8A0YL+1P8A+EZqP/yXQBm/8OW/+CvP9sf2F/wwj+0//bX9m/2t/Z//AAh+ofa/7L+1fY/tmz7Xn7P9r/cb+nm8UAaX/DkX/gsb/wBGC/tT/wDhGaj/APJdAB/w5F/4LG/9GC/tT/8AhGaj/wDJdAB/w5F/4LG/9GC/tT/+EZqP/wAl0AH/AA5F/wCCxv8A0YL+1P8A+EZqP/yXQAf8ORf+Cxv/AEYL+1P/AOEZqP8A8l0AH/DkX/gsb/0YL+1P/wCEZqP/AMl0AH/DkX/gsb/0YL+1P/4Rmo//ACXQAf8ADkX/AILG/wDRgv7U/wD4Rmo//JdAGbq//BFv/grzoenXGqa1+wj+0/p+m2vlfabu78H6glvD588VvD5jG7wPMuJookz1d1HegDS/4ci/8Fjf+jBf2p//AAjNR/8AkugA/wCHIv8AwWN/6MF/an/8IzUf/kugA/4ci/8ABY3/AKMF/an/APCM1H/5LoAP+HIv/BY3/owX9qf/AMIzUf8A5LoAP+HIv/BY3/owX9qf/wAIzUf/AJLoAP8AhyL/AMFjf+jBf2p//CM1H/5LoAP+HIv/AAWN/wCjBf2p/wDwjNR/+S6AD/hyL/wWN/6MF/an/wDCM1H/AOS6AD/hyL/wWN/6MF/an/8ACM1H/wCS6AM3SP8Agi3/AMFedc0631TRf2Ef2n9Q026837Nd2ng/UHt5vInlt5vLYXeD5dxDLE+Ojow7UAaX/DkX/gsb/wBGC/tT/wDhGaj/APJdAB/w5F/4LG/9GC/tT/8AhGaj/wDJdAB/w5F/4LG/9GC/tT/+EZqP/wAl0AH/AA5F/wCCxv8A0YL+1P8A+EZqP/yXQAf8ORf+Cxv/AEYL+1P/AOEZqP8A8l0AH/DkX/gsb/0YL+1P/wCEZqP/AMl0AH/DkX/gsb/0YL+1P/4Rmo//ACXQAf8ADkX/AILG/wDRgv7U/wD4Rmo//JdAGba/8EW/+CvN5qOqaXafsI/tPz6lo/2L+1rSLwfqBuLL+0IGuLH7Sv2vKfabdWlhz95ASO9AGl/w5F/4LG/9GC/tT/8AhGaj/wDJdAB/w5F/4LG/9GC/tT/+EZqP/wAl0AH/AA5F/wCCxv8A0YL+1P8A+EZqP/yXQAf8ORf+Cxv/AEYL+1P/AOEZqP8A8l0AH/DkX/gsb/0YL+1P/wCEZqP/AMl0AH/DkX/gsb/0YL+1P/4Rmo//ACXQAf8ADkX/AILG/wDRgv7U/wD4Rmo//JdAB/w5F/4LG/8ARgv7U/8A4Rmo/wDyXQBm6l/wRb/4K86T9g/tT9hH9p+z/tLUrXSdO+0eD9QX7Vql55n2Szgzd/Ncz+VJ5SDk7Wx0oA0v+HIv/BY3/owX9qf/AMIzUf8A5LoAP+HIv/BY3/owX9qf/wAIzUf/AJLoAP8AhyL/AMFjf+jBf2p//CM1H/5LoAP+HIv/AAWN/wCjBf2p/wDwjNR/+S6AD/hyL/wWN/6MF/an/wDCM1H/AOS6AD/hyL/wWN/6MF/an/8ACM1H/wCS6AD/AIci/wDBY3/owX9qf/wjNR/+S6AD/hyL/wAFjf8AowX9qf8A8IzUf/kugCtef8EUP+CwdhZ3d9ffsF/tR21lZW093eXE3g3UFhgtbaJ5riaVjd4EcUSO7k9FUntQAWf/AARQ/wCCwd/Z2l9Y/sF/tR3Nle20F3Z3EPg3UGhntbmJJreaJhd4McsTo6EdVYHvQBZ/4ci/8Fjf+jBf2p//AAjNR/8AkugA/wCHIv8AwWN/6MF/an/8IzUf/kugA/4ci/8ABY3/AKMF/an/APCM1H/5LoAP+HIv/BY3/owX9qf/AMIzUf8A5LoAP+HIv/BY3/owX9qf/wAIzUf/AJLoAP8AhyL/AMFjf+jBf2p//CM1H/5LoAP+HIv/AAWN/wCjBf2p/wDwjNR/+S6AD/hyL/wWN/6MF/an/wDCM1H/AOS6AM21/wCCLf8AwV5vNR1TS7T9hH9p+fUtH+xf2taReD9QNxZf2hA1xY/aV+15T7Tbq0sOfvICR3oA0v8AhyL/AMFjf+jBf2p//CM1H/5LoAP+HIv/AAWN/wCjBf2p/wDwjNR/+S6AD/hyL/wWN/6MF/an/wDCM1H/AOS6AD/hyL/wWN/6MF/an/8ACM1H/wCS6AD/AIci/wDBY3/owX9qf/wjNR/+S6AD/hyL/wAFjf8AowX9qf8A8IzUf/kugA/4ci/8Fjf+jBf2p/8AwjNR/wDkugA/4ci/8Fjf+jBf2p//AAjNR/8AkugDNuv+CLf/AAV5s9R0vS7v9hH9p+DUtY+2/wBk2kvg/UBcXv8AZ8C3F99mX7Xl/s1uyyzY+6hBPagDS/4ci/8ABY3/AKMF/an/APCM1H/5LoAP+HIv/BY3/owX9qf/AMIzUf8A5LoAP+HIv/BY3/owX9qf/wAIzUf/AJLoAP8AhyL/AMFjf+jBf2p//CM1H/5LoAP+HIv/AAWN/wCjBf2p/wDwjNR/+S6AD/hyL/wWN/6MF/an/wDCM1H/AOS6AD/hyL/wWN/6MF/an/8ACM1H/wCS6AD/AIci/wDBY3/owX9qf/wjNR/+S6AK15/wRQ/4LB2Fnd319+wX+1HbWVlbT3d5cTeDdQWGC1tonmuJpWN3gRxRI7uT0VSe1ABZ/wDBFD/gsHf2dpfWP7Bf7UdzZXttBd2dxD4N1BoZ7W5iSa3miYXeDHLE6OhHVWB70AfCH7Qf7OXx4/Zb+Idx8LP2jvhr4q+E3xNttN0/Wb7wX41hisvE1npuqxtNpl5f6cJ5rmzjv4VM9p9rWJ54MTRqYmR6APbf2dP+CbX7e/7Wngy5+JP7NP7Jvxv+MngOx1ifQpfGfgfwXqWoeHf7asljku9OtdYaOG0vLyxEkf2yOymnazd447gwyMqMAf39f8Gmf7CP/BRP9jnw3+1Bqf7X3hPx78H/AIT+O38GWnwz+D/xGvHTW28Y6PcatL4k8c2Xhx7y7fw/p1xpl1Y6Q8sy2UmszqJkgljsvPYA/sgoAKACgAoAKAPya+I//JQ/Hn/Y5+KP/T5fUAf/1v7kv+Mhf+qM/wDl70AH/GQv/VGf/L3oAP8AjIX/AKoz/wCXvQAf8ZC/9UZ/8vegA/4yF/6oz/5e9AHmf/F5P+Fyf80z/wCEs/4Vn/1NX/CPf8I9/wAJT/4Mv7a/tL/tx+w/9PFAHpn/ABkL/wBUZ/8AL3oAP+Mhf+qM/wDl70AH/GQv/VGf/L3oAP8AjIX/AKoz/wCXvQAf8ZC/9UZ/8vegA/4yF/6oz/5e9AB/xkL/ANUZ/wDL3oAP+Mhf+qM/+XvQB5n8Yv8Ahcn/AArjxF/wlf8AwrP+wP8AiUfb/wDhHv8AhKv7Y/5Dul/Zfsn9pf6F/wAfv2b7R53/AC6+f5f73ZQB6Z/xkL/1Rn/y96AD/jIX/qjP/l70AH/GQv8A1Rn/AMvegA/4yF/6oz/5e9AB/wAZC/8AVGf/AC96AD/jIX/qjP8A5e9AB/xkL/1Rn/y96AD/AIyF/wCqM/8Al70AH/GQv/VGf/L3oA8z+Dv/AAuT/hXHh3/hFP8AhWf9gf8AE3+wf8JD/wAJV/bH/Id1T7V9r/s3/Qv+P37T9n8n/l18jzP3u+gD0z/jIX/qjP8A5e9AH8R3/B6p/wALI/4Ub+wv/wAJ3/whH2f/AIWx8XP7P/4RL+3vO87/AIRDwv5/2z+2Pk8vZs8ryfm379/GKAPX/wDgzK/4Wf8A8MNftOf8IP8A8IF/Z/8Aw06v2v8A4Sv/AISH7Z9r/wCFaeEf+Pf+yP3H2fytn+s/eeZu/h20Af2Jf8ZC/wDVGf8Ay96AD/jIX/qjP/l70AH/ABkL/wBUZ/8AL3oAP+Mhf+qM/wDl70AH/GQv/VGf/L3oA8z8Lf8AC5P+Fj/FP+zf+FZ/2/8A8UP/AMJJ9u/4Sr+x/wDkBXH9j/2H5H+m/wDHlv8A7S+3/wDL1s+y/ut1AHpn/GQv/VGf/L3oAP8AjIX/AKoz/wCXvQAf8ZC/9UZ/8vegA/4yF/6oz/5e9AB/xkL/ANUZ/wDL3oAP+Mhf+qM/+XvQAf8AGQv/AFRn/wAvegA/4yF/6oz/AOXvQB5n8S/+Fyf8W/8A+Eh/4Vn/AMlN8K/2H/Y3/CVf8jD/AKf/AGZ/av23/mDf6/7d9k/07/VfZ/46APTP+Mhf+qM/+XvQAf8AGQv/AFRn/wAvegA/4yF/6oz/AOXvQAf8ZC/9UZ/8vegA/wCMhf8AqjP/AJe9AB/xkL/1Rn/y96AD/jIX/qjP/l70AH/GQv8A1Rn/AMvegDmfGv8AwvT/AIQ3xb/a/wDwqb+yf+EZ17+1P7N/4TH+0f7O/sq6+2/YPtX+jfbfs3m/ZftH7jz/AC/O/d7qADwV/wAL0/4Q3wl/ZH/Cpv7J/wCEZ0H+y/7S/wCEx/tH+zv7KtfsX2/7L/o3237N5X2r7P8AuPP8zyf3e2gDpv8AjIX/AKoz/wCXvQAf8ZC/9UZ/8vegA/4yF/6oz/5e9AB/xkL/ANUZ/wDL3oAP+Mhf+qM/+XvQAf8AGQv/AFRn/wAvegA/4yF/6oz/AOXvQAf8ZC/9UZ/8vegDzPwt/wALk/4WP8U/7N/4Vn/b/wDxQ/8Awkn27/hKv7H/AOQFcf2P/Yfkf6b/AMeW/wDtL7f/AMvWz7L+63UAemf8ZC/9UZ/8vegA/wCMhf8AqjP/AJe9AB/xkL/1Rn/y96AD/jIX/qjP/l70AH/GQv8A1Rn/AMvegA/4yF/6oz/5e9AB/wAZC/8AVGf/AC96APyf/wCCi3/Cd/8ACXfDb/hOv+ES+1f8I5rX2D/hEv7Y+z+R/adv5v2z+2P3nneZt8vyfk2Z3fNiv5t8c/8AkZZF/wBgOJ/9SIn8A/TH/wCSi4L/AOxLmX/qdSPHv2UPhx/ws7W/EHhNrLRbz/hILG502Aa8b1LCCaHSNWvHuzLpwa8hu7KJftWmywA7L9IPODW5da4/CTIsFn2F4pweYUVVwtfDYKhe3vUqjniJwq0pbxq03FSi12s2ouSl5f0YuDMo40y/xHynPMKsRl+Ny/KMG5WXtMPXdXHVaWIw82708RRlFVKc4pNWs24ycShr37Onx++DXxc0jRfD2g65feIbTVbO78J+KPC9pqN3pV6TKpt7mPUVtbdIFTJiv4btbcxgTRzJ5bEN8tjuDOKuG+JKOGy/C42tXp4qFTLMfhKVSVOrDn/d1PaQjyQaT5a8ZuPLaSlFx1j+b5z4UeJHAHH2Fy7IstzbGY2hmNKvw7neW4TETw+Kp+0vh68sRSg6VGUY+5i6VWUFC1SEk4O5+41j/wANHfYrP7Z/wpr7X9lt/tW7/hM932nyU8/Pk/uc+buz5X7vP+r+TFf2FQ9t7Cj9Y5fb+yp+35fh9tyL2nLbTl572t0P9UcF9a+p4T67yfXfq1D637O3s/rXso/WOS2nJ7Xm5baW26Fr/jIX/qjP/l71qdIf8ZC/9UZ/8vegA/4yF/6oz/5e9AB/xkL/ANUZ/wDL3oAP+Mhf+qM/+XvQAf8AGQv/AFRn/wAvegDzP4xf8Lk/4Vx4i/4Sv/hWf9gf8Sj7f/wj3/CVf2x/yHdL+y/ZP7S/0L/j9+zfaPO/5dfP8v8Ae7KAPTP+Mhf+qM/+XvQAf8ZC/wDVGf8Ay96AD/jIX/qjP/l70AH/ABkL/wBUZ/8AL3oAP+Mhf+qM/wDl70AH/GQv/VGf/L3oAP8AjIX/AKoz/wCXvQAf8ZC/9UZ/8vegA/4yF/6oz/5e9AHmfw0/4XJ/xcD/AIR7/hWf/JTfFX9uf2z/AMJV/wAjD/oH9p/2V9i/5g3+o+w/a/8ATv8AW/aP4KAPTP8AjIX/AKoz/wCXvQAf8ZC/9UZ/8vegA/4yF/6oz/5e9AB/xkL/ANUZ/wDL3oAP+Mhf+qM/+XvQAf8AGQv/AFRn/wAvegA/4yF/6oz/AOXvQAf8ZC/9UZ/8vegDzP8A4vJ/wuT/AJpn/wAJZ/wrP/qav+Ee/wCEe/4Sn/wZf21/aX/bj9h/6eKAPTP+Mhf+qM/+XvQAf8ZC/wDVGf8Ay96AD/jIX/qjP/l70AH/ABkL/wBUZ/8AL3oAP+Mhf+qM/wDl70AH/GQv/VGf/L3oAP8AjIX/AKoz/wCXvQAf8ZC/9UZ/8vegDzP4xf8AC5P+FceIv+Er/wCFZ/2B/wASj7f/AMI9/wAJV/bH/Id0v7L9k/tL/Qv+P37N9o87/l18/wAv97soA9M/4yF/6oz/AOXvQAf8ZC/9UZ/8vegA/wCMhf8AqjP/AJe9AB/xkL/1Rn/y96AD/jIX/qjP/l70AH/GQv8A1Rn/AMvegA/4yF/6oz/5e9AB/wAZC/8AVGf/AC96AD/jIX/qjP8A5e9AHmfwd/4XJ/wrjw7/AMIp/wAKz/sD/ib/AGD/AISH/hKv7Y/5Duqfavtf9m/6F/x+/afs/k/8uvkeZ+930Aemf8ZC/wDVGf8Ay96AD/jIX/qjP/l70AH/ABkL/wBUZ/8AL3oAP+Mhf+qM/wDl70AH/GQv/VGf/L3oAP8AjIX/AKoz/wCXvQAf8ZC/9UZ/8vegA/4yF/6oz/5e9AHmfhb/AIXJ/wALH+Kf9m/8Kz/t/wD4of8A4ST7d/wlX9j/APICuP7H/sPyP9N/48t/9pfb/wDl62fZf3W6gD0z/jIX/qjP/l70AH/GQv8A1Rn/AMvegA/4yF/6oz/5e9AB/wAZC/8AVGf/AC96AD/jIX/qjP8A5e9AB/xkL/1Rn/y96AD/AIyF/wCqM/8Al70AH/GQv/VGf/L3oA8z+Jf/AAuT/i3/APwkP/Cs/wDkpvhX+w/7G/4Sr/kYf9P/ALM/tX7b/wAwb/X/AG77J/p3+q+z/wAdAHpn/GQv/VGf/L3oAP8AjIX/AKoz/wCXvQAf8ZC/9UZ/8vegA/4yF/6oz/5e9AB/xkL/ANUZ/wDL3oAP+Mhf+qM/+XvQAf8AGQv/AFRn/wAvegA/4yF/6oz/AOXvQBzPjX/hen/CG+Lf7X/4VN/ZP/CM69/an9m/8Jj/AGj/AGd/ZV19t+wfav8ARvtv2bzfsv2j9x5/l+d+73UAHgr/AIXp/wAIb4S/sj/hU39k/wDCM6D/AGX/AGl/wmP9o/2d/ZVr9i+3/Zf9G+2/ZvK+1fZ/3Hn+Z5P7vbQB03/GQv8A1Rn/AMvegA/4yF/6oz/5e9AB/wAZC/8AVGf/AC96AD/jIX/qjP8A5e9AB/xkL/1Rn/y96AD/AIyF/wCqM/8Al70AH/GQv/VGf/L3oAP+Mhf+qM/+XvQB5n4W/wCFyf8ACx/in/Zv/Cs/7f8A+KH/AOEk+3f8JV/Y/wDyArj+x/7D8j/Tf+PLf/aX2/8A5etn2X91uoA9M/4yF/6oz/5e9AB/xkL/ANUZ/wDL3oAP+Mhf+qM/+XvQAf8AGQv/AFRn/wAvegA/4yF/6oz/AOXvQAf8ZC/9UZ/8vegA/wCMhf8AqjP/AJe9AB/xkL/1Rn/y96APM/FP/C5P+Fj/AAs/tL/hWf8Ab/8AxXH/AAjf2H/hKv7H/wCQFb/2x/bnn/6b/wAeWz+zfsH/AC9b/tX7rbQB6Z/xkL/1Rn/y96AD/jIX/qjP/l70AH/GQv8A1Rn/AMvegA/4yF/6oz/5e9AB/wAZC/8AVGf/AC96AD/jIX/qjP8A5e9AB/xkL/1Rn/y96AD/AIyF/wCqM/8Al70Acz41/wCF6f8ACG+Lf7X/AOFTf2T/AMIzr39qf2b/AMJj/aP9nf2VdfbfsH2r/Rvtv2bzfsv2j9x5/l+d+73UAfNn7RX7UXiz9i79jfxr+078QtQ+Elj8M/hB8JbXxTFFqD+LRrusrBo1pD4X8ORRQyR21z4i8Q6hNpmkQwWhMbX92WiHkIzKAf5K3g3w1+0r/wAFrP8AgpfDp8k8mufGn9rb4w3Oq69qT/aX0fwV4ZnuDdapfSMkd0dO8K/D/wAH2nk2oMbRx2mm2tvhpp1DAH+vL+y7+zX4v/ZA+Afww/Zx+Cnh34HeGfh18K/C+n+G9Fs7aHxpHPfS20IOpa9q0q/Ne63r+oG41XVr2VnkuL26lOVjVEUA99/4yF/6oz/5e9AB/wAZC/8AVGf/AC96AD/jIX/qjP8A5e9AB/xkL/1Rn/y96AD/AIyF/wCqM/8Al70AH/GQv/VGf/L3oA/PPxr/AGj/AMJl4t/tf7F/a3/CTa9/an9m+f8A2d/aP9q3X237B9q/0n7F9p837L9o/f8AkeX537zdQB//1/7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df8AuUoA9moAKACgAoAKACgAoAKAOM+I/wDyTzx5/wBiZ4o/9Md9QAfDj/knngP/ALEzwv8A+mOxoA7OgAoAKACgAoAKACgAoA8Z8E/8le+N/wD3TX/1GLugD2agAoAKACgAoAKACgD8q/8AgqBoGknw38MfFLRTf25Hreq6BFMsmIDpc1j/AGjLHJCQQ0i3VvE0UispVWlVg+5Sn4L45YTDvBZHj3GX1qOJr4RSUvddCVL20ouNndqpGLjK6teS15j+LPpjZXgnlPB+dOE/7RjmGNyuFRT/AHbwVTDfW5wlTtrNVqcHCaaspTTTunHyT/gnnaqvizRrzA3zeJ/FdqW7lbbwH5oB9gbskfU+taeBlNLLc+q21ljsJC/lChOX5z/z2Rt9DeilkHGuIsuaeb5ZR5utqeCrTt6J1b79eh+19fux/ZoUAFABQAUAFABQAUAeM/tB/wDJIfF3/cA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z+Df8AzVX/ALLN45/9xdAHs1ABQAUAFABQAUAFABQB4z/zcL/3Rn/3d6APZqACgAoAKACgAoAKACgDxn9oP/kkPi7/ALgH/qT6LQB7NQAUAFABQAUAFABQAUAFAHjP7Pn/ACSHwj/3H/8A1J9aoA9moAKACgAoAKACgAoAKAPGfBP/ACV743/901/9Ri7oA9moAKACgAoAKACgAoAKAPGfjJ/zSr/ss3gb/wBylAHs1ABQAUAFABQAUAFABQBxnxH/AOSeePP+xM8Uf+mO+oAPhx/yTzwH/wBiZ4X/APTHY0AdnQAUAFABQAUAFABQAUAeM+Cf+SvfG/8A7pr/AOoxd0AezUAFABQAUAFABQAUAFAHjPjb/kr3wQ/7qV/6jFpQB7NQAUAFABQAUAFABQAUAcZ8R/8Aknnjz/sTPFH/AKY76gD/ADlv+DsH/gqWnxKuPg9/wTT+EXiET+DvhJ4d8D+O/wBoq7026D22sfEyTw1ZS+E/Ad0YpGWWPwRpt0dZ1S3cI0WvapaxSBpNN2qAfpb/AMGen/BMaT4S/Bfxh/wUX+K3hw2vjn462lx4I+A0Wp2my70f4RafeA+IfF9kJoQ8J8e65apZ2V1DKPO0LRN3MOoEuAf230AFABQAUAFABQAUAfk18R/+Sh+PP+xz8Uf+ny+oA//Q/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/APdNf/UYu6APZqACgAoAKACgAoAKAPmv9p/9nm1/aK8Eaf4dGuHw9rGhar/a+i6i9u13ZieS3e0ube+tkkikeGaCTKyRPvikRSFIY18VxzwfT4xyulg/rTweJwtf6xhqzg6lPmcHTnCrBNPllF35o3cXFWTvJx/I/GLwso+K3DuGyr+0XlWPy3G/X8uxcqTr4dVJUp0KtLE0YzpzlTqU5aShLmhKKajK/u+M/Bb9nm1/Z18UfCDw6dcPiHWNd1X4lavrWopbtaWZnj8IWNpbW9jbPJLIkMMEeWklffLI7EqAoo4G4Pp8HZXVwf1p4zE4qv8AWMTWUHTp8ygqcIUoNt8sYq/NKzk5O6VouR4O+FlHwp4dxOVf2i81x+ZY36/mOLjSdDDupGlChSpYajKdScadOnHWU5c05SbcY29776r7U/XAoAKACgAoAKACgAoA8Z/aD/5JD4u/7gH/AKk+i0AezUAFABQAUAFABQAUAFABQB4z8G/+aq/9lm8c/wDuLoA9moAKACgAoAKACgAoAKAPGf8Am4X/ALoz/wC7vQB7NQAUAFABQAUAFABQAUAeM/tB/wDJIfF3/cA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/wC4/wD+pPrVAHs1ABQAUAFABQAUAFABQB4z4J/5K98b/wDumv8A6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/AJpV/wBlm8Df+5SgD2agAoAKACgAoAKACgAoA4z4j/8AJPPHn/YmeKP/AEx31AB8OP8AknngP/sTPC//AKY7GgDs6ACgAoAKACgAoAKACgDxnwT/AMle+N//AHTX/wBRi7oA9moAKACgAoAKACgAoAKAPGfG3/JXvgh/3Ur/ANRi0oA9moAKACgAoAKACgAoAKAPzx/4KrftneCf2CP2Cv2iv2jPGVzbC50LwFrXhvwFo08iJL4p+JnjDT7rQfA/h62R8iZrnWbuK8vUH3dKsb+YlREXQA/ya/8Agmr+yH8Tv+Cun/BSXwF8LfEl9q2tf8LO8fal8Uf2gPGZaaaXSfh9p+o/2/4+1aW5eTNvLfQyL4f0SPzlMd/qmnwW4KxBFAP9nTwD4E8J/C/wP4R+HHgPRLHw34K8CeHNG8J+FdA02FILHSNA0Cwg03S7C2iRVUJb2lvEhbG+Rg0khZ3dqAOuoAKACgAoAKACgAoA/Jr4j/8AJQ/Hn/Y5+KP/AE+X1AH/0f7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df8AuUoA9moAKACgAoAKACgAoAKAOM+I/wDyTzx5/wBiZ4o/9Md9QAfDj/knngP/ALEzwv8A+mOxoA7OgAoAKACgAoAKACgAoA8Z8E/8le+N/wD3TX/1GLugD2agAoAKACgAoAKACgAoA8Z8bf8AJXvgh/3Ur/1GLSgD2agAoAKACgAoAKACgAoA8Z/aD/5JD4u/7gH/AKk+i0AezUAFABQAUAFABQAUAFABQB4z8G/+aq/9lm8c/wDuLoA9moAKACgAoAKACgAoAKAPGf8Am4X/ALoz/wC7vQB7NQAUAFABQAUAFABQAUAeM/tB/wDJIfF3/cA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/wC4/wD+pPrVAHs1ABQAUAFABQAUAFABQB4z4J/5K98b/wDumv8A6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/AJpV/wBlm8Df+5SgD2agAoAKACgAoAKACgAoA4z4j/8AJPPHn/YmeKP/AEx31AB8OP8AknngP/sTPC//AKY7GgDs6ACgAoAKACgAoAKACgDxnwT/AMle+N//AHTX/wBRi7oA9moAKACgAoAKACgAoAKAPGfG3/JXvgh/3Ur/ANRi0oA9moAKACgAoAKACgAoAKAP8wj/AIO3f+Codt+1F+1Hof7Evwl8SR6l8Gv2Vb67l8eXuk3gn0vxd8ddRtvs2rxma3byL20+H+lv/wAI/bnfcQprV3rrRsrxjaAf0P8A/BpX/wAEzz+yl+xrf/tffErw8bD41ftfW9hq3h9dQtwmpeGfgTpsjT+DrJA+JbV/Gl40vi69ikiilaybQg25UUKAf1sUAFABQAUAFABQAUAFAH5NfEf/AJKH48/7HPxR/wCny+oA/9L+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoAKACgAoAKACgAoAKAPGfBP/JXvjf8A901/9Ri7oA9moAKACgAoAKACgAoA5Xxr428MfDvwzqfi/wAYarBo2gaRCJby9n3Ny7BIoIIYw0txczyMsUEEStJI7DAChmXgzPM8Dk+Cr5jmOIhhsJh481SrO73doxjFXlOcnZRhFNt9km4+LxDxDk/CuUYzPc+xtLL8swMFOviKt3rJ8sKdOEbzq1qs2oU6dOMpSk9rJyj8x+GPjr8Nvjj8TfhHqXw91qXUV0a4+IlvqlneWVxp2oWTXPheFrWSa1uVDeRdCCbyJkZkcxSKdrLhvM4e4qyTiijWrZRinW+rSjGvSqU50a1LnvySlTnduE+V8souS0afK1Y+d4F8SuEfEbC4vFcLZjLF/UakaeMw2IoVcJi8P7Tm9lUnQrRjJ0qvLLkqR5otxabT0l9jV9EfeBQAUAFABQAUAFABQB4z+0H/AMkh8Xf9wD/1J9FoA9moAKACgAoAKACgAoAKACgDxn4N/wDNVf8Ass3jn/3F0AezUAFABQAUAFABQAUAFAH4+fH7/gpx8Bv2fP2xJfA3iPTfFWtx6L4N03wL418QaHb2T2HhTV9Q1yPxA/m29zcxXeqR6fp9xbNfiyjV45ZWii89omNfCZv4gZPk+avK61PE1ZUpQhiq9KMHTw8ppOzjJqdRwjJOfLa2yvax/cnhP9Afxd8XPC6Hidk2ZcOZZhsyw+KxXDWRZpWxcMxz/D4WdWj7WFajhquFwMMTXo1KeEeIqP2llUn7KEly/rJ4W8U+HfG3h3RvFvhLWLDxB4a8Q6fbarous6ZcJdWOoWF2gkhuLeZCQQVO10bbJFIrxSokqOi/bUK9HFUaWIw9SFahWhGpSqU5KUJwkrppq9/zTunZpo/jHPcizjhnOMx4fz/LsXlOdZRi62BzLLcdSlQxWExVCThUpVactU01eMleE4SjUg3CUJS361PJCgAoAKACgAoAKAPGf2g/+SQ+Lv8AuAf+pPotAHs1ABQAUAFABQAUAFABQAUAeM/s+f8AJIfCP/cf/wDUn1qgD2agAoAKACgAoAKACgAoA8Z8E/8AJXvjf/3TX/1GLugD2agAoAKACgAoAKACgAoA8Z+Mn/NKv+yzeBv/AHKUAezUAFABQAUAFABQAUAFAHGfEf8A5J548/7EzxR/6Y76gA+HH/JPPAf/AGJnhf8A9MdjQB2dABQAUAFABQAUAFABQB4z4J/5K98b/wDumv8A6jF3QB7NQAUAFABQAUAFABQAUAeM+Nv+SvfBD/upX/qMWlAHs1ABQAUAFABQAUAFAH863/BxX/wWF0b/AIJlfspah4F+GXiCzb9rv9oHSNV8NfCfSoJopb7wJ4dnjaw8SfFjUrcbpLePRIp2s/DAkRft3iOaF45Fj0+4ZQD/AD9f+CJX/BLvxz/wVM/ao8Ra/wCNo9YuPgF8FbPUvi1+0J44vmnmfxFexpfa1pHgSLVbgSG88SePdZt3OpPuuLq30RdV1K4VS0MjAH+vj8JNL07Q/hT8MtF0iyt9N0nSPh74M0vS9Os4lgtLDTrDw5ptrZWVrCmEit7W2iighjUbUjRVXAFAHoVABQAUAFABQAUAFABQB+TXxH/5KH48/wCxz8Uf+ny+oA//0/7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df8AuUoA9moAKACgAoAKACgAoAKAOM+I/wDyTzx5/wBiZ4o/9Md9QAfDj/knngP/ALEzwv8A+mOxoA7OgAoAKACgAoAKACgAoA8Z8E/8le+N/wD3TX/1GLugD2agAoA+OP2rv2rk/ZxXwxp2n+GE8TeIfEyXl7FDeXkthptppthLFBNLLNDFLNLcSzTBIokChFRnckMBX5xx9x9HgxYGjSwKx2MxyqVIxqVJUqNKjSlGMpScU5SnKUrRinHl5W3e8T8E8bPGyPhPHJ8LhcnjnGa5xGviKdPEYieGwlDCYadOnUnOpTp1Kk6s6lRRhCPKoqLlK6cVL0X9nn9ofwj+0F4T/tnRdumeIdOCReJPC81wkt5pVw3CzxNiNrrTbo/NbXax4zmGXZMhD+zwfxhl3F+X/WcNahi6No43AzmpVMPN7Sjs6lGf2KiX92VpKx9X4WeKmR+KOSf2hl9sHmmE5aebZNVqxnXwVV/DUhK0XXwlbV0a8YRSd6dRKcT6Cr64/UAoARmCgsxCqoLMzEAKAMkkngADkk8Acmhu2r0S1bfQTaSbbSSTbbdkktW23oklu3+h+DP7c/7SLfFfxk3gDwrel/APgu9likngkPk+IvEMReG61BtrES2Vgd9rp4YbWYT3IUF42r+UfFPjR5/mX9kYCq3lOW1ZRcoP3cZjI+7Oq9uanSd6dG902pTSXNc/zS+kf4tPjXP3wxkuJcuGeHsROEqlKf7vNc1henWxTtZTw+GfNRwt0037Wqr88ZR99/Yz+Bur/DLX/hN448SLNaaz8S4/GlzbaTKrRvp+gaZ4XeTTJLmNgGW71BtRnumjYK0VubcEFmYL+n+EfCdfJMrrZvjVOni84hSdPDyXL7HBQbnSc43b9rWcvaWaThDlW8mf0T9GDwzxnCHD2K4pzeNShmfFVHDOhgZpxeFymjKdXDSrQeqr4qVR17NRcKLpx3cj9aq/Xz+pQoAKACgAoAKACgAoA8Z/aD/5JD4u/wC4B/6k+i0AezUAFABQAUAFABQAUAFABQB4z8G/+aq/9lm8c/8AuLoA9moAKACgAoAKACgAoAKAP5r/APgrJ+wbq3iv4peKPjj8FdHutU1qTwLa+O/ij4VtN9xeX8dhqUugXnibQrdVeWe4hs7ewl1XTY97yRwz31spYSQL+O+IPBdTEyrZ/lcJTqtc+YYWOsqihFR+sUVu5KMV7Wnu0uaOzP8AXn6Av0yMBkGGybwI8TMXQwOVxqSwnAXE1dxpYfCVMVXnVjw9m9WTjClRq4itP+zMdJRhCc/quIlFOnVl8kf8Ez/+CiuufsweKrD4UfEy/utV+BPijVYrd/tMryz/AA41a+mWJte0wPuK6NJKytrmnKVjEatfQhZ43835XgjjOrkVeGX46cqmVV6iXvavBVJO3tYXelJt/vYaKy50rq0v6l+mp9D7LPG/IsVx5wVhaGB8UsjwFSrH2MI06XGOAwtKVRZVjeVWeYxhFrK8ZJubm1hqspUpx5f6/rK9tNSs7TUdPuYL2wv7aC9sry2kSa2u7S6iSe2ubeZCySwzwuksUiMyOjqykgg1/RUZRnGM4SUozipRlF3UoyV1JNaNNNNNbo/56MThsRgsTiMHi6NXDYrCV6uGxOHrwlTrUMRQnKlWo1ackpU6tKpGUJwklKMotNJpos1Rgfmj/wAFB/8Agoh4R/Y78Mjw34bXTPFnxx8Q2nm6B4WmlMth4cspcqviPxWtvIk0dtwTpumCWG51KUCQmOzR5JfiOMOMcPw3Q9jQ9niM0rRvRoN3jRi/+X2ISaaX8lO8XN9o6y/tT6I/0QeIPpE5285zp43IPDDKMRyZtntOmqeKzjEw955PkLrQnTqVrNfXMa4ToYKD5bSxMoQj5h/wSy/b1+K/7YSfE7w58WtB0RdZ8Bw6Lq1j4r8M6bNpOm31nrVxe2x0i9sXnuoEv7V7UTwSwTIZrZ5fOiZkV14eA+LcfxH9eoZhRpKphFSqQxFGDpwnGq5R9nKPNJc8XG6ateLd1omfb/Tp+ipwF9HiXBGccAZrmby3iqpmWAxWQ51jaePxuFxGW0cPWWYYbFRpYerLCV413Sqwq0pKnWjD2dRKTifr7X6Kf56BQAUAeM/tB/8AJIfF3/cA/wDUn0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4/8A+pPrVAHs1ABQAUAFABQAUAFABQB4z4J/5K98b/8Aumv/AKjF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/uUoA9moAKACgAoAKACgAoAKAOM+I//JPPHn/YmeKP/THfUAHw4/5J54D/AOxM8L/+mOxoA7OgAoAKACgAoAKACgAoA8Z8E/8AJXvjf/3TX/1GLugD2agAoAKACgAoAKACgAoA8Z8bf8le+CH/AHUr/wBRi0oA9moAKACgAoAKACgD5R/bo/aN1P8AZD/Y8/aQ/ab0XwdcfEDWPgj8JfF3xA0rwbbGZW17UtE06SWxtJ2tkkuEsEuWiudTeBfOTToLpo2RwrqAf4++jaL+3b/wXX/b8lWN9Y+Lv7QPxs183Wo6hOZ4PB3w18F2s+Gmlb57Hwf8OfA+mS+XbwII4ljRY4xc6leM04B/q3/sA/8ABOb4S/8ABMH9ghv2bPhlFa6nrFp4G8S+IPir8Qfsi2+qfEn4k6h4buBr3iW+cqJxYxyINO8P2EhEemaLa2tvHFFI1wXAP0U+HH/JPPAf/YmeF/8A0x2NAHZ0AFABQAUAFABQAUAFAH5NfEf/AJKH48/7HPxR/wCny+oA/9T+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoAKACgAoAKACgAoAKAPGfBP/JXvjf8A901/9Ri7oA9moAKAPnb9pD9nnw3+0F4MbR78pp3ijSVnufCfiIJuk069kQbra6Vfmn0y9Mccd3ASSmFnh2yoN3x3GfB+C4uyx4atajjsOpzy/GW1o1ZLWFSybnQquMVUje6+KNpI/KvFnwsynxR4feX4pxwmcYJVa2SZqo3nhMRKKvRrJa1MHiHCMa9PeOlWnacbS/BzSNW+Kn7K/wAW2dY7jQPFvhi88jULCbedO1rTXb54ZQNsd/pGpwAtBOmRgrLHtmiKr/KWHxGfcBcQtpTwmYYKpyVqUrujiaDesXoo1sPWirwmtOqtKNo/5qYHHcZ+C/HDko1srzzJ6/ssVhqnM8LmGDcvepzsowxOBxlNXp1I8y2nC04SUf6IvhF8T9A+MPgDQPHnh2VTa6tar9stN6tNpeqwgJqOmXIBJWa0uNyDccyRGKYYWRa/sTh7PMJxFlOEzXByThiKa9pT+1QrxVq1CavK0qc7rV6xcZa83u/6pcDcY5Zx5wxlnEuVTTo46ivrFDmTng8bTSjisHVtqp0Kt0r/ABQcKi0melV7R9cfnl+3h+0n/wAK08Kn4Y+Er7y/G/jCxcandW8mJvD3hq4DRSybkO6HUNVG+3tM4eO2865AO6Mt+P8Aitxr/YmAeR5fVtmmY0n7ecJe9hMFNOMnp8NXEK8Kd3dQ5ppSuuX+WfpK+Lf+qOSvg/I8Ty8R59h2sZWpS/eZXlFVOE53i04YnGrmpUbuLjR9pVXNeB8K/sRfs4SfGHxuvjLxPZu3w/8ABd5Dc3Kzqwi8Q64hE1ppCE5823gYLd6kQceWIrcsTOyt+V+F/Bj4izRZljqTeUZbUjOakny4vFL3qeHW3NCDSnXs7NWhdcz5f5u+jt4TS484iWf5xh3Lhfh+vTq1VUj7maZlF+0oYGN/jo03ati3ty8lLV1Go/sf4zRI/i58Do41VERfiSiIihURF8L2gVVVcKqqAAqgYA4GMV/WaSSSSSSSSSVkktEkloklsl+h/ptGMYxUYpRjFKMYxSUYxSskkrJJKySSslorHtFMYUAFABQAUAFABQAUAeM/tB/8kh8Xf9wD/wBSfRaAPZqACgAoAKACgAoAKACgAoA8Z+Df/NVf+yzeOf8A3F0AezUAFABQAUAFABQAUAFAHjDKr/tBsrqGVvgwVZWAKsp8b4KsDkEEHBBGCODnNA03FqUW000007NNappqzTT1TT+6x/NZ/wAFff2Fbf4M+Ll/aI+F2iR2fwz8eamLfxlo+m2/lWXg/wAaXZZ1u4YIY/JtdH8SsJJY1Xyo7fVRNCq4uYq/APEXhRZbiP7ZwFJRwOLqcuJpQXu4bEy+0klZU69m1ty1Lqz5ly/7z/s9PpSVvEfh9+EHHOZTxHGvCuCdbhzMcZW9pieIuG6FovD1KlSXtK+Y5KnGE5PmnWwHsqkmnRmo/Y//AARk/bXbxv4Zf9ln4j6wZfFXg+ylv/hfqOoT5n1vwpD8154ZEshLTXvhwnz7BD88mkyPGGf7EBX0vhpxP9aoPIcbUviMNBzwM5vWrh18VG7veVG94K/8PTXlR/On7R/6NK4ZzuHjpwdlyp5FxFiaeE44weEpWpZZn1T3cNnXs4xtTw2cJeyxUk+WGPiptQ+srm+3v+ChH7enhb9jj4fmy0p7LXfjR4usbhPA/hd2WWLTYyGhfxVr8QOY9LsJT/otu21tSu0EK5hSZl+o4w4sw/DeE5YONXM8RFrC0N1Dp9YrK+kIP4U/jlpa12fzJ9Ef6Kme/SL4sWKx8cTlfhtw/iqMuJ88jFwnjZq1SORZTNq08diofx6yTjgsPJ1W1UdOMv5X/gl8E/jz/wAFAPj5e2lrfaj4i8R+ItROv/EP4g6608+neG9LuLjFzqmp3HzKioubbR9JgKvcyLFZ2cKxI7xfguV5Xm3F+bTjGU61atP2uMxlXmdOhBvWc5aJJfDTppXdlGKSXu/7q+JviZ4V/RM8KMLXrYXB5Rk+T4NZTwhwjlipUsZnOOo0f3GBwVL3XJylatmOPqqUaMJVMRiajnKKq/2W/sx/syfDP9lP4Y6Z8NfhtpqxxxrFdeI/EVzFH/bfi3XfKCXGs6xcLku7HclnaK32bT7bbb26L+8eX+k8jyPBZBgaeBwULJWlWrSS9riKttalRpK76RjqoR0XVn/OR42+NnGvjxxvjeNOMsbKc5udDJsnozn/AGZw/lfO5Ucuy6jJ2jFLllicRJe2xde9atKT5Iw+iK9k/HwoAKAPGf2g/wDkkPi7/uAf+pPotAHs1ABQAUAFABQAUAFABQAUAeM/s+f8kh8I/wDcf/8AUn1qgD2agAoAKACgAoAKACgAoA8Z8E/8le+N/wD3TX/1GLugD2agAoAKACgAoAKACgAoA8Z+Mn/NKv8Ass3gb/3KUAezUAFABQAUAFABQAUAFAHGfEf/AJJ548/7EzxR/wCmO+oAPhx/yTzwH/2Jnhf/ANMdjQB2dABQAUAFABQAUAFABQB4z4J/5K98b/8Aumv/AKjF3QB7NQAUAFABQAUAFABQAUAeM+Nv+SvfBD/upX/qMWlAHs1ABQAUAFABQAUAUdU0vTdb03UNG1nT7LVtI1ayutN1XStStYL7TtS06+ge1vbC/srpJLa8sry2llt7q1uI5IZ4ZHilRkZlYA+YP2cv2F/2Pf2Q9S8Y6z+zJ+zh8JvgjrHxBuBceMtV+H/hLT9E1HXis73KW93exI1yunpcOZ00y3kg01JgkqWquiMoB718R/8Aknnjz/sTPFH/AKY76gA+HH/JPPAf/YmeF/8A0x2NAHZ0AFABQAUAFABQAUAFAH5NfEf/AJKH48/7HPxR/wCny+oA/9X+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwv8A/B8B/wAkH/YL/wCyufGH/wBQ3wpQB7L/AMGT/wDyYd+1J/2dKv8A6rDwfQB/Z3QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoAKACgAoAKACgAoAKAPGfBP/JXvjf8A901/9Ri7oA9moAKACgD4N/bj/Ztb4veDk8beFLFZPH/gy1mkEEKgT+IfD6h5rrTDhf3t5ZkNc6duO5sz24ceYiN+UeKPBb4iy1Znl9JSzfLISahFe/jMIk5TodL1ab9+je7fvQurpH80/SN8JHx1kMeIskwynxPw/RqTVOnH95muVxUqlbCaW9piKDvVwilrL36KkuaCPzZ/ZC/aTvfgH42bSPEUt0/w88SXUdr4jsW3l9FvlbyYddtoG2lJrU/utQhxuntVI+WWFN34t4d8a1eE8zeGxkpvJ8bUjDG0ne+Gqr3I4qEXa0qfw1o29+mraSiuX+SfArxbxPhlxE8Bms6z4WzatCjm2Gak5ZfiU/ZwzKjTfLy1KPwYqna9Simnyzpw5v2q+Mfx08I/CT4X3fxJub601O2urOM+FLW2uEf/AISPUb6AyabBZlTmS3cFZ7qZcLBbK7uyNsFf0zxHxTl3D2R1M6qVadaFSmvqEITv9drVI3owp21cHfnqSWkYJtuLaZ/oRx74kZFwPwbX4urYihjKNbDweSUaNWMv7WxeIp8+Ep0HFpypSTVStUWlOipOTUuU/ALw5ofxC/ak+M4t2ml1HxN4z1aS+1bUZAz2uj6Wrhrq6cDIg0/SrPEVvCMA7IYB875r+SMHhc4474l5HKVbHZliJVcRWd/Z4agnepUeloUaFO0YRSe0YK7Z/mHlOXcU+M3iAqTqTxecZ/jp4nHYualKhgMGpJ1q0ktKeFwVC0KVNJL3adNe9Lml/Rd8Mvh14d+FPgjQfAvhi3EGl6JaJCZSqie/vGAa81K7YAeZd3s+6aV2yRkRg7ESv7IyTJsHkGV4TKsDDloYWmo81veq1HrUrVH1qVJXlJv0+yf6tcH8KZVwVw7lnDeTUlTweXUI0+dpKpia7V8Ri67Ws6+Iq81Scm5NXUU+WMTlvG3/ACV74If91K/9Ri0r1j6Y9moAKACgAoAKACgAoAKAPGf2g/8AkkPi7/uAf+pPotAHs1ABQAUAFABQAUAFABQAUAeM/Bv/AJqr/wBlm8c/+4ugD2agAoAKACgAoAKACgAoA8Z/5uF/7oz/AO7vQB0/xT+GfhL4x/D3xZ8MvHOmxar4X8Y6Nd6NqlrIoLolzGRDeWzH/U3tjcCK8spxgxXMET84xXJj8Dh8yweIwOLgqlDE05UpxfTmWko9pwdpRfSSXdn1nAvGvEHh1xdkHG3C+NngM84dzGhmOBrwb5ZToy/eYetFOPtMNiqTnh8TSk7VKNWcXa65v4g/jX8Lfit+wT+0/No1pqF5pfib4eeIrTxR8PvFturxQ69oX2hp9E1iAr5YlhvLVWsdWtMgLMt9ZSKqHLfy7meAzDhLPXTjOVOtg60a+DxC0VWjzXpVF3Uo+5UjprzRaV05f9OHhpxzwH9KzwQp5jiMJhsdkvF2T18k4t4fqyjUqZVmnsVSzLL6qfM6dTD12sTgK+7pvC4iEpO0o1YIfjt/wUF/aa25n8TfEn4ma0XkkPmjR/C+gwP8zY5j0vwz4Z08/KvyIqIFy91c5llLNuMM8618bjquu/ssPSX3KnQoQ8krLW8neW9Wp4WfRI8E72pZJwZwVlqjCC5HmOeZrVj7qvZTx2d53jPil70nKTb5aFG0P7Jf2S/2VPh3+yP8KtM+HXge0juNRlSG+8ZeLJ4kGreLfEJhC3OoXswUOLWJi0OmWI2w2NoFjjQO0rv/AElw/kGC4ewEMHhYpzdp4nENL2mIrW1nJ78q2hDaMdFq2f8AOZ4/eO/GH0gOPMbxhxPiJ0sHCVXC8OZBTqSeA4fyhVG6ODw1O/K681y1Mbin+8xWIcpzlKKgo/UFe6fh4UAFABQB4z+0H/ySHxd/3AP/AFJ9FoA9moAKACgAoAKACgAoAKACgDxn9nz/AJJD4R/7j/8A6k+tUAezUAFABQAUAFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/APdNf/UYu6APZqACgAoAKACgAoAKACgDxnxt/wAle+CH/dSv/UYtKAPZqACgAoAKACgAoAKACgDjPiP/AMk88ef9iZ4o/wDTHfUAHw4/5J54D/7Ezwv/AOmOxoA7OgAoAKACgAoAKACgAoA/Jr4j/wDJQ/Hn/Y5+KP8A0+X1AH//1v7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQB/C/wD8HwH/ACQf9gv/ALK58Yf/AFDfClAHsv8AwZP/APJh37Un/Z0q/wDqsPB9AH9ndABQAUAFABQB4z4J/wCSvfG//umv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df8AuUoA9moAKACgAoAKACgAoAKAOM+I/wDyTzx5/wBiZ4o/9Md9QAfDj/knngP/ALEzwv8A+mOxoA7OgAoAKACgAoAKACgAoA8Z8E/8le+N/wD3TX/1GLugD2agAoAKACgD8bf26/2T20O6v/jT8OdNY6NeStceONCsoSw0q7kOX8QWkMYGywunP/ExjVSltcN9oASOVxX84eKnADw1StxLk1BvDVJc+aYWlF/uKknri6cY81qU3/GSSUJvmSUZPl/gb6SXgjLLq2J8QeFMJJ4DEVHV4iy3DU2/qVeo25ZpQpw1jha0n/tcU5Ro1Wqi5YTly/m7qXjHxb4j0Xwz4S1PWtQ1LRfDH2m28N6VPcM9tp39pTiSaO3RsKN8m1I97N5Mf7qLy4vkb8WrZlmGNwuBy6via1bDYHnhgsPOblCi607yUE9FeTsvi5VouVaS/kvF5/nmbZdk+R4zMMVi8vyb21LKMFVqOVLC/W6inUhSi2lrO0Yc38OPuQcYNo/en9jT9nOy+CfgGHW9Xit7jx94zs7W/wBavI2jmXTdOlRbiw0OzmQsrxQq6z3c0bbbi6bgGOJDX9X+G3BtLhjKY4rEKFTNsypU6uJqxtJUaMkp0sLTl1jFNTqSWk6j092MT/S/wB8KMP4ecMwzHHQpVuJ+IKFDE5hiIOM44TCTiquGy7D1I8ycIKSqV5xk1VrS092EUfZdfpJ+/HjPjb/kr3wQ/wC6lf8AqMWlAHs1ABQAUAFADXdIkaSR1jjRSzyOwREUDJZmYhVUDJJJAA5JHWk2opyk0kldtuySXVt6JLzFKUYRcpyUYxTcpSaUYpbtt2SSW7b+6zPP5/i18LbXVP7EufiL4Kg1YlB/Z8vibR0uQznaqGNr1SHLAjYTvz/AMivInxBkVOv9WnnOWQru37qWOwymm9ErOro21azs/S9j5epxxwZRxv8AZ9Xivh6njrpfVZ5xgI1bydlFxdfSTenLpLpZaOXoCsrqroyujqGV1IZWVhlWVhkFSDkEHBHIzkV66aaTTTTV01qmns0+qaPqE1JKUWpRkk4yTumnqmmrpprVNPXzHUxnjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGfg3/zVX/ss3jn/wBxdAHs1ABQAUAFABQAUAFABQB4z/zcL/3Rn/3d6APXL6+s9MsrzUtQuYbKw0+1nvb68uZFht7S0tYnnubmeVyEihghR5ZZGIVERmYgDNTKUYRlOclGMIuUpSdlGMVdybeiSSbbeyN8LhsRjcTh8HhKNXE4vF16WGw2HowdStXxFecaVGjSpxvKdSrUlGEIRV5Skkrtn8UX/BR/9rKT9r/9oae58LWwm8BeB2n8EfDdLa0R9R1y3N//AKXrMjxRtc3D69qIEmnWm6QQ2n2ZIVMs0pf+Y+NOIP8AWPOG8PFPCYVvC4Llj79Vc/vVG170vaz1pxvpGyVrs/6Wvob+AUPo8+EVOjntZ0+K+J1S4m4ylWryjg8rqrC/7PlsI1JKjRjlWDbhjMRaDqYj20qjdOEOXnv2C/2rNT/Yq/aDTxD4g0RpvC+sFvBPxN0m40+P+3dM0tb8C4vNPMyLd2mpaFfRG4nskkjW9SKa0uI5H8nZjwlxBPhjOPbVqXNQq/7LjqcoJVacOfWcL2lGdKXvShf30nF2aR6/0qvAfBfSV8I5ZRlGZqlnmXKPE3BOPo4ubyvHY14Rujh8Wqc3h8Rgs0ws1SpYmUZvDSqU8RSnGLm5f20+FvFHh/xt4b0Txd4V1Wz1zw54j0y01jRdWsJlntL/AE++hWa3uIZF4IZGAdCA8UgeKRVkR1X+n6FejiqNLEYepGrRrQjUpVIPmjOE0nFp69H8no7ao/5nc9yPNuGc5zPh/PsBiMsznJsbiMuzLL8VTlSxGFxeFqOnWpVISSd1JXjJe7ODjODcJJy361PJCgAoAKAPGf2g/wDkkPi7/uAf+pPotAHs1ABQAUAFABQAUAFABQAUAeM/s+f8kh8I/wDcf/8AUn1qgD2agAoAKACgAoAKACgAoA8Z8E/8le+N/wD3TX/1GLugD2agAoAKACgAoAKACgAoA8Z+Mn/NKv8Ass3gb/3KUAezUAFABQAUAFABQAUAFAHGfEf/AJJ548/7EzxR/wCmO+oAPhx/yTzwH/2Jnhf/ANMdjQB2dABQAUAFABQAUAFABQB4z4J/5K98b/8Aumv/AKjF3QB7NQAUAFABQAUAFABQAUAeM+Nv+SvfBD/upX/qMWlAHs1ABQAUAFABQAUAFABQBxnxH/5J548/7EzxR/6Y76gA+HH/ACTzwH/2Jnhf/wBMdjQB2dABQAUAFABQAUAFABQB+TXxH/5KH48/7HPxR/6fL6gD/9f+5L/hcn/VKvjN/wCEP/8AfKgA/wCFyf8AVKvjN/4Q/wD98qAD/hcn/VKvjN/4Q/8A98qAD/hcn/VKvjN/4Q//AN8qAD/hcn/VKvjN/wCEP/8AfKgDzP8A4WX/AMXk/wCEh/4V/wDE3/kmf9jf2H/wiv8AxUP/ACNP23+1f7N+3f8AIG/5c/t3nf8AH9/o/lfx0Aemf8Lk/wCqVfGb/wAIf/75UAH/AAuT/qlXxm/8If8A++VAB/wuT/qlXxm/8If/AO+VAB/wuT/qlXxm/wDCH/8AvlQAf8Lk/wCqVfGb/wAIf/75UAH/AAuT/qlXxm/8If8A++VAB/wuT/qlXxm/8If/AO+VAB/wuT/qlXxm/wDCH/8AvlQB5n8YviX/AMJB8OPEWkf8K/8Aibon2v8Asj/iaeIfCv8AZuj2vka7pd1/pd79um8nzvI+z2/7tvMupYIvl37qAPTP+Fyf9Uq+M3/hD/8A3yoAP+Fyf9Uq+M3/AIQ//wB8qAD/AIXJ/wBUq+M3/hD/AP3yoAP+Fyf9Uq+M3/hD/wD3yoAP+Fyf9Uq+M3/hD/8A3yoAP+Fyf9Uq+M3/AIQ//wB8qAD/AIXJ/wBUq+M3/hD/AP3yoAP+Fyf9Uq+M3/hD/wD3yoAP+Fyf9Uq+M3/hD/8A3yoA8z+DvxL/AOEf+HHh3SP+Ff8AxN1v7J/a/wDxNPD3hX+0tHuvP13VLr/RL37dD53k+f8AZ7j92vl3UU8XzbN1AHpn/C5P+qVfGb/wh/8A75UAfxHf8Hqnjf8A4Sz4G/sLw/8ACI+OPDX2P4sfFyTzfFugf2NDdeb4Q8Lr5dnJ9quPPlj27pU2psRkOWzhQD1//gzK8ef8Ir+w1+05Z/8ACGePfEn2j9p1bj7V4U8Pf2xZwf8AFtPCMfkXE/2u38u4+Tf5W0/u2Vtx3YUA/sS/4XJ/1Sr4zf8AhD//AHyoAP8Ahcn/AFSr4zf+EP8A/fKgA/4XJ/1Sr4zf+EP/APfKgA/4XJ/1Sr4zf+EP/wDfKgA/4XJ/1Sr4zf8AhD//AHyoA8z8LfEv7F8R/inq/wDwr/4m3f8Abf8Awg//ABK7Hwr5+saR/ZuhXFr/AMTyy+3J9g+37/tGm/vJftVqry/Jt20Aemf8Lk/6pV8Zv/CH/wDvlQAf8Lk/6pV8Zv8Awh//AL5UAH/C5P8AqlXxm/8ACH/++VAB/wALk/6pV8Zv/CH/APvlQAf8Lk/6pV8Zv/CH/wDvlQAf8Lk/6pV8Zv8Awh//AL5UAH/C5P8AqlXxm/8ACH/++VAB/wALk/6pV8Zv/CH/APvlQB5n8S/iX/bP/Cv/APi3/wATdK/sr4m+FdZ/4nPhX7D/AGl9h+3/APEq0r/TpftmtXnm/wCg2P7v7R5cv71dlAHpn/C5P+qVfGb/AMIf/wC+VAB/wuT/AKpV8Zv/AAh//vlQAf8AC5P+qVfGb/wh/wD75UAH/C5P+qVfGb/wh/8A75UAH/C5P+qVfGb/AMIf/wC+VAB/wuT/AKpV8Zv/AAh//vlQAf8AC5P+qVfGb/wh/wD75UAH/C5P+qVfGb/wh/8A75UAcz41+LH9o+DfFun/APCtfizYfb/DOvWX27UvB32XTrP7VpV1B9rv7n+0H+z2Vvv866n2P5UCSSbW24oAPBXxY/s7wb4S0/8A4Vr8Wb/7B4Z0Gy+3ab4O+1adefZdKtYPtdhc/wBoJ9osrjZ51rPsTzYHjk2ruxQB03/C5P8AqlXxm/8ACH/++VAB/wALk/6pV8Zv/CH/APvlQAf8Lk/6pV8Zv/CH/wDvlQAf8Lk/6pV8Zv8Awh//AL5UAH/C5P8AqlXxm/8ACH/++VAB/wALk/6pV8Zv/CH/APvlQAf8Lk/6pV8Zv/CH/wDvlQAf8Lk/6pV8Zv8Awh//AL5UAeZ+FviX9i+I/wAU9X/4V/8AE27/ALb/AOEH/wCJXY+FfP1jSP7N0K4tf+J5Zfbk+wfb9/2jTf3kv2q1V5fk27aAPTP+Fyf9Uq+M3/hD/wD3yoAP+Fyf9Uq+M3/hD/8A3yoAP+Fyf9Uq+M3/AIQ//wB8qAD/AIXJ/wBUq+M3/hD/AP3yoA/M/wDbi/aybxTp7/BzwdY+IPD8QmDePzrdtDpupSNEVktvD32a3vLlo4M7bnUVnaN5GENu0OxXLfzz4vca3cuFctq6Lllm9anLdr3qeBTT1S0qV9teWDWklL+F/pR+LfPKfhvw/irwi4z4oxNGfxT0nRyhSg9o+7VxsW9Zezoyh7smfAkHwc+I914B/wCFlWvg/wAR3HhNZ51l1aLRNQewjs4PLQ6l9tWEwNZi4MlvJKGVI3TJkKsdv5JHhHPKnD3+s1PCTnlqrTpycVerGlFRX1r2fxPDc7lTdRK0ZRu7xblH+YaXhhxhX4HfiBRyyrVyGOLq4epKMZfWIYemoL+0fY255YB1nOg68fdjOHM/3b54/Zv7JX7bd18MLaH4ffE86pr3gxQIvDuqWvk3WreHZWOEsHF5dWqXOjSMcIrXCyae/MW+FniX9E8N/EmWUypZHn1aU8slJQweMqNylgZN2VOrK93hW7Wevsd1aHMo/u/gH4/1eGamG4O4zxc63D1WUaWV5rWk51MlqSdo0MROV5Ty2Uno3rhG7xvR5ow/Vi3+NlvdwQ3Vr8MfjDc2tzFHPb3EHgtJYJ4ZVDxSwyx6o6SRyIwZHR2VlIIJBFf03CcKkI1KcozhOKnCcGpRlGSTjKMldOLTumnZp3V9D/QulVpV6VOvQqQrUa0I1KVWlOM6dSnNc0JwnG8ZwlFqUZRdmndX0POfFPxL+2/Ef4Wav/wr/wCJtp/Yn/Ccf8Su+8K+RrGr/wBpaFb2v/Ejsvtz/b/sGz7RqX7yL7Laskvz7ttUaHpn/C5P+qVfGb/wh/8A75UAH/C5P+qVfGb/AMIf/wC+VAB/wuT/AKpV8Zv/AAh//vlQB8M/Fz/gpLp2hXepeH/ht4Ev7rVrC4uLC61Txk8VjbWl5bs0FwkekaddXE8729wjoRPeWoLJhoxhlb8P4p8Y8PluKxWXZJgFjMRhqtTD1MZipOGGVWm3CbpUoSdSrGM01eUoKVr2Ssj+PPEf6VeDyDMcyyHhDJVmmNy/E1sFWzfMarp5fHEUJSpVvq2Fo/v8QqVWMoqVWpRjO17W0Pzu8c/tAfHv433507V/FHiLVo7yQiDwr4YhubTTm38eVFpGkASXS87cXJunPQuSc1+L5pxdxZxRVdHEY7GYhVH7uAwMZ06Lvpyxw+Hu5rW3vqo++9j+TOI/FDxM8RcU8Ljc5zbGxxE/3WS5PCtQwj5tOSngcClKsun711Zd5O/vYOofs8/HLTNEuPEepfCrx3Z6Tax/aLq7uvDWqxmC3I3G6mje1EqQKCDJK6hU3ZYj71TW4F4tw+X1M0r5LjKeFpWlUclH28YPX2rw6ft+Rfalye7vK2ilGM8GfE3A5HW4ixnCOaUMuoKNSs6kIPGQpSXN9YlgY1ZYxUY/8vKjorkv72ibj9cfsb/tfeKPBmu2Hw28d3OveLvCWqINP8MwW0Meqa9pOsSOosbCxa5ureS4sLxi0C2j3DmGZ4zbIAxRv0Hwt49x1DMsNw9m2LlXy/FL2GBqYiXNPCYnelSVWXvexqu9NQk2oTlFx0bjH9w+jj405xgc/wAv4G4mzKpjcjzK+DyevjJupWy3Huzw2GjiJvneExL5qMadSTVKrODg1FuMv1d/4XJ/1Sr4zf8AhD//AHyr+mT/AEJPM/jF8S/+Eg+HHiLSP+Ff/E3RPtf9kf8AE08Q+Ff7N0e18jXdLuv9Lvft03k+d5H2e3/dt5l1LBF8u/dQB6Z/wuT/AKpV8Zv/AAh//vlQAf8AC5P+qVfGb/wh/wD75UAH/C5P+qVfGb/wh/8A75UAH/C5P+qVfGb/AMIf/wC+VAB/wuT/AKpV8Zv/AAh//vlQAf8AC5P+qVfGb/wh/wD75UAH/C5P+qVfGb/wh/8A75UAH/C5P+qVfGb/AMIf/wC+VAB/wuT/AKpV8Zv/AAh//vlQB5n8NPiX/Y3/AAsD/i3/AMTdV/tX4m+KtZ/4k3hX7d/Zv277B/xKtV/06L7HrVn5X+nWP7z7P5kX71t9AHpn/C5P+qVfGb/wh/8A75UAH/C5P+qVfGb/AMIf/wC+VAB/wuT/AKpV8Zv/AAh//vlQAf8AC5P+qVfGb/wh/wD75UAH/C5P+qVfGb/wh/8A75UAH/C5P+qVfGb/AMIf/wC+VAB/wuT/AKpV8Zv/AAh//vlQAf8AC5P+qVfGb/wh/wD75UAeZ/8ACy/+Lyf8JD/wr/4m/wDJM/7G/sP/AIRX/iof+Rp+2/2r/Zv27/kDf8uf27zv+P7/AEfyv46APyp/4K1/t/JpHw/uf2a/h7ZeK/DHjXxrDDJ8RJ9csodH1HRfBcy+ZHpMMcN/dXEd14lZQlx5iW5XSUkCMfteK/KfEridYPC/2Hg6v+14uKljJQdpUMK9qfMnpOvbVWX7u/8AN73+pv7OP6NVTi7if/iN3F+W83DHCuInR4Ow+LpXo5xxLT92pmUYTjy1MJkad6dT3oSzGcEoP6vOR8Lf8Em/2Zo/F3xJh/aG8f8Aw98b+LPAPw7viPB1roHhWXW9O1zx3b7WS4u5Jpbe0ks/DSul0Y1a536m9qkkaeQxr5fw24Z/tDGf21i6d8HgZ2w0Zq8a+LWvNZ3ThQ+J6Ne05U7WvH+mv2i/0knwDwjHwc4TxzpcW8bYJ1eI8VhqqjXyThWpJwdDmg3Uo4zPZRlRh/ClDAQxFRS/fQZ7V/wVg/ZITX9T1D9p/wCEXwt+I3h1ZUa4+MWk6l4Mm07TA64VPHFrLaXF0kDSfLD4gWaOKIt5WoCTJuEr1vEbhG3tOIMupab5lQgrf9zcYpPe6jWS/wCvl1do/K/2d/0sXP6l4B+IWZ3kk4eHOc42tuleU+FcRVqS1aV6mTS5rte0we/sEYP/AASS/b/vfhVq6fs2fEo634g8F+Jbpn+GL2EcV9qXh/xPcvul8OW8d1d2ofSddJaS0t1lLWuqDbAojvHirh8NuKZYbERyHHVP9mxDf1Cc5fwa71dC72p1vsReiqaJx5rn2n7Rb6L+H4myHEeOvBWXKPEnD9CnHjfA4OlrnWRU/cjnXsoRvPH5QnFYqpH36+AvOUZTw3Of0f8A/C5P+qVfGb/wh/8A75V+7H+HAf8AC5P+qVfGb/wh/wD75UAH/C5P+qVfGb/wh/8A75UAH/C5P+qVfGb/AMIf/wC+VAHmfxi+Jf8AwkHw48RaR/wr/wCJuifa/wCyP+Jp4h8K/wBm6Pa+Rrul3X+l3v26byfO8j7Pb/u28y6lgi+XfuoA9M/4XJ/1Sr4zf+EP/wDfKgA/4XJ/1Sr4zf8AhD//AHyoAP8Ahcn/AFSr4zf+EP8A/fKgA/4XJ/1Sr4zf+EP/APfKgA/4XJ/1Sr4zf+EP/wDfKgA/4XJ/1Sr4zf8AhD//AHyoAP8Ahcn/AFSr4zf+EP8A/fKgA/4XJ/1Sr4zf+EP/APfKgA/4XJ/1Sr4zf+EP/wDfKgDzP4O/Ev8A4R/4ceHdI/4V/wDE3W/sn9r/APE08PeFf7S0e68/XdUuv9Evft0PneT5/wBnuP3a+XdRTxfNs3UAemf8Lk/6pV8Zv/CH/wDvlQAf8Lk/6pV8Zv8Awh//AL5UAH/C5P8AqlXxm/8ACH/++VAB/wALk/6pV8Zv/CH/APvlQAf8Lk/6pV8Zv/CH/wDvlQAf8Lk/6pV8Zv8Awh//AL5UAH/C5P8AqlXxm/8ACH/++VAB/wALk/6pV8Zv/CH/APvlQB5n4W+Jf2L4j/FPV/8AhX/xNu/7b/4Qf/iV2PhXz9Y0j+zdCuLX/ieWX25PsH2/f9o0395L9qtVeX5Nu2gD0z/hcn/VKvjN/wCEP/8AfKgA/wCFyf8AVKvjN/4Q/wD98qAD/hcn/VKvjN/4Q/8A98qAD/hcn/VKvjN/4Q//AN8qAD/hcn/VKvjN/wCEP/8AfKgA/wCFyf8AVKvjN/4Q/wD98qAD/hcn/VKvjN/4Q/8A98qAD/hcn/VKvjN/4Q//AN8qAPM/iX8S/wC2f+Ff/wDFv/ibpX9lfE3wrrP/ABOfCv2H+0vsP2//AIlWlf6dL9s1q883/QbH939o8uX96uygD0z/AIXJ/wBUq+M3/hD/AP3yoAP+Fyf9Uq+M3/hD/wD3yoAP+Fyf9Uq+M3/hD/8A3yoAP+Fyf9Uq+M3/AIQ//wB8qAD/AIXJ/wBUq+M3/hD/AP3yoAP+Fyf9Uq+M3/hD/wD3yoAP+Fyf9Uq+M3/hD/8A3yoAP+Fyf9Uq+M3/AIQ//wB8qAOZ8a/Fj+0fBvi3T/8AhWvxZsPt/hnXrL7dqXg77Lp1n9q0q6g+139z/aD/AGeyt9/nXU+x/KgSSTa23FAB4K+LH9neDfCWn/8ACtfizf8A2DwzoNl9u03wd9q068+y6Vawfa7C5/tBPtFlcbPOtZ9iebA8cm1d2KAOm/4XJ/1Sr4zf+EP/APfKgA/4XJ/1Sr4zf+EP/wDfKgA/4XJ/1Sr4zf8AhD//AHyoAP8Ahcn/AFSr4zf+EP8A/fKgA/4XJ/1Sr4zf+EP/APfKgA/4XJ/1Sr4zf+EP/wDfKgA/4XJ/1Sr4zf8AhD//AHyoAP8Ahcn/AFSr4zf+EP8A/fKgDzPwt8S/sXxH+Ker/wDCv/ibd/23/wAIP/xK7Hwr5+saR/ZuhXFr/wATyy+3J9g+37/tGm/vJftVqry/Jt20Aemf8Lk/6pV8Zv8Awh//AL5UAH/C5P8AqlXxm/8ACH/++VAB/wALk/6pV8Zv/CH/APvlQAf8Lk/6pV8Zv/CH/wDvlQAf8Lk/6pV8Zv8Awh//AL5UAH/C5P8AqlXxm/8ACH/++VAB/wALk/6pV8Zv/CH/APvlQAf8Lk/6pV8Zv/CH/wDvlQB5n4p+Jf234j/CzV/+Ff8AxNtP7E/4Tj/iV33hXyNY1f8AtLQre1/4kdl9uf7f9g2faNS/eRfZbVkl+fdtoA9M/wCFyf8AVKvjN/4Q/wD98qAD/hcn/VKvjN/4Q/8A98qAD/hcn/VKvjN/4Q//AN8qAD/hcn/VKvjN/wCEP/8AfKgA/wCFyf8AVKvjN/4Q/wD98qAD/hcn/VKvjN/4Q/8A98qAD/hcn/VKvjN/4Q//AN8qAD/hcn/VKvjN/wCEP/8AfKgDmfGvxY/tHwb4t0//AIVr8WbD7f4Z16y+3al4O+y6dZ/atKuoPtd/c/2g/wBnsrff511PsfyoEkk2ttxQAeCvix/Z3g3wlp//AArX4s3/ANg8M6DZfbtN8HfatOvPsulWsH2uwuf7QT7RZXGzzrWfYnmwPHJtXdigDpv+Fyf9Uq+M3/hD/wD3yoAP+Fyf9Uq+M3/hD/8A3yoAP+Fyf9Uq+M3/AIQ//wB8qAD/AIXJ/wBUq+M3/hD/AP3yoAP+Fyf9Uq+M3/hD/wD3yoAP+Fyf9Uq+M3/hD/8A3yoAP+Fyf9Uq+M3/AIQ//wB8qAD/AIXJ/wBUq+M3/hD/AP3yoA/PPxre/wBo+MvFuofZL2w+3+JtevfsOpQfZdRs/tWq3U/2S/ttz/Z7233+TdQb38qdJI9zbc0Af//Q/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AH8L/APwfAf8AJB/2C/8Asrnxh/8AUN8KUAey/wDBk/8A8mHftSf9nSr/AOqw8H0Af2d0AFABQAUAFAHjPgn/AJK98b/+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/wC5SgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/APdNf/UYu6APZqACgAoA+Wf2sf2g7L4C/Dq4urKWKXxv4kS40zwjYFgzQ3Bjxca1cRZDfZNLRxIpbCzXTQwjfl1r4Tj/AIvpcJ5PKpSlGWaY1ToZfSum4z5ffxM47+zoJp62UqjjFbyUvxjxu8UcP4acKVa2HnCfEebRqYTI8M2pOnVcbVcwqwumqGDjLmTatUrunTV/fPxa/Z2+C/iL9pH4rJZX897NpEd2df8AHniKUtJKlnLcebOhnOQdR1eYvBbAngtJN8qwnb/NHB3DWM40z9Uq06ssMqjxebYyV3JU5T5pR5tL1sRJuENrXlL3VFo/z68KvD/NfFrjaOHxNTETwEa7zTiXNJ80pxw863PVj7V/8xeOqN0qKa0cpzvGMPe/ow0vw5oejeH7Pwtp2mWdv4fsNNj0i20oQRtZrp0cIt/srwMpjkjeLKyh1bziztIGLNX9kUMFhcNhKeAo0KcMHSoRw8MPyp01RjDk9m4tWcXG6ldPmu273Z/q5g8qy7AZXh8mwmDoUsrwuEhgaOCVOLw8cJCn7JUXTa5ZwcLqaknz3blduR+N37Xf7Emo+ELu/wDiN8IdKudT8J3Ust1rfhSwhkub7w1I+6Sa606BA811opOW8pA02nn5DvgKMn84eIfhhWy6pVznh2hUr5fUlKpisBSi51cFJ6ynQjGMpVMN1sryo7PmjqfwN46fR3xeRV8TxXwLgq2MyStOdbMMkw1OVXE5ROV5Tq4SlHmnWy9u75Ip1MM3y+9S5XHwP4LftmfGL4KWcPh23ubXxV4Ws32Q+HfEy3Eh05ELBrbTNQjlS90+LcTm3JngRh8sC4K18nwz4lcR8M044OE4ZhgKbtHB43nl7FLenRqpwqUY3b9y84Re0VrzfmXh94/8eeHuHp5VSq0c6yWg+WnlWb+1m8LGLd6ODxMHGvhYXb/dP2tOLWkFax+sPw++Lth8cdT/AGdfiFYadNpB1F/itZX2mzSed9j1LTvD9tbXkUNxtT7RbmRRJBLsQlHCsCyk1/UfCvENHijJMLm9GjLDe2dSnVoSlz+zrUZuFSMZ2jzwbtKMrbOzu1eX+jXhrx1hfEbhHLuKcLhKmB+tyr4fE4OpP2n1fF4Sq6OIhTq8sPa0uZKVOfLFuMrPVScvsevoj7wzNa1nS/Dukalr2tXkOnaTo9lcajqN9cNthtbO0iaaeZz1IVFOFXLO2EQFmArDE4mhg8PWxeJqRo4fD0p1q1WbtGFOnHmlJ+iT0Wr2WtjjzDMMHlWBxeZ5hiKeFwOAw9XFYvE1XanRoUYOdSpLq7RTsleUnaMU5NI/ED46/t8fEnxX4yEfwh1i98HeDtIufK04xW1q+qeI5FkAN7qa3ENwUt7gqBb6bHt2QsPO3TM4X+YOKvFnOsfmSjw7iKuXZdhp8tFqnTdfGyUv4tdTjK0J/YoJaRfvXm5cv+dfiR9Jri3Os/UOBMfiMgyHA1uTCuFGhLGZtKMrfWMYqtGs40atv3WEjyuMH+8lKpJqP074F/YW+HvxPtPDXxZ8e/8ACT6Hq3jPSrTxL4o8CWUlvYadFrmqILu/eGc251Gytr2eRrz7Ckitb/aDDHKEVRX3GV+FmT55TwXEGbfXsLiMyw9PG47KqUoUaMcVXjz1XGXs3Wo06kpe19ipXhzcimkkfsPDv0buFuMaGUcb8S/2zluN4gwVDN854aw06OFwkMyxsfb4mVOo6LxeHo4ipJ1/q8ZRdP2vs4ySUT7w8BfCT4bfDCySx8C+DtD8PIqhXubOzRtQuCBgvc6lP519cO/VjLcEZJwAPlX9Vynh/JcjpKllWW4XBpKznTpp1p93OvK9WbfW8reSuf0pwzwNwlwdh44fhvIMuyuKSUqtChGWKqu1nKti6nPiakpbvnqWvsj0GaGK4hlt540mgnjkhmhkUPHLFKhSSORWyrI6MVZSMFSQc5r15RjOMoTipRnFxlGSupRkrOLT0aabTT3R9RUpwq050qsI1KdSEqdSE0pQnCa5ZwlF6SjKLakno07M/mN+Jmlj4WfH3xZp+k/6Kng34j3U+mCMbBbw2Osi+sUQLjCRReUiAH7igcZNfxBndD+wuLcwo4f3FludVJUbaKEaWJ9rTStayjHlSs9krWP8fOL8EuDPE7O8Lgv3Mcg4srVcGkuX2VPDZh9Zw0Uk7KNOHJFK9uVJX6n9NGl3i6jpunagmCt9Y2l4pHQrdW8c4x14xJxz+df25QqqtQo1ltVpU6qttapBS0+8/wBfcHiFi8HhcVG1sThqGIVtrVqUaitvpaXf7zyf9oP/AJJD4u/7gH/qT6LWp0ns1ABQAUAFABQAUAFABQAUAeM/Bv8A5qr/ANlm8c/+4ugD2agAoAKACgAoAKACgAoA/Mz9uH9sPwl+xz4mu/Guqxf2v4y134OTaH8PvDEZ+bVfEMvi24miutQbB+zaLpqwtdX9wQWlEa2kCtNOuz5jinibC8N4B16lqmLrKcMHhk/eqVEvjl2pU205y6/DFNtuP9LfRh+jdxP9Izjqnk2XqeX8J5NUwuL4x4ilH91l2X1KjaweFvZVs1zCNOrSwdGPMqfvYmty0qfv/wAvHwX+Ffxe/b6/aaGk3GoXureJ/H2vXPib4g+MblXmtvD+hm4WXV9XuWbekMFnbstlpFjkeZL9jsoQVGV/nnLMBmPFue8jnKpXxdaVfGYiSvGlSvepUl2UVaFOPV8sVsz/AKBvEnjrw9+ij4KPH0sJhsvyThTKqOS8JcO0JQp1s2zNUnTy/L6KXLKpVxFZPE5hiXH3Kf1jE1JKTTl/bh8IPhR4N+B/w38JfC3wDpsel+GPCGk2+mWMSqPOupEXdd6lfSfeuNQ1K6aa8vbiQs8k8zc7Agr+oMuy/DZXgsPgMJBU6GGpqEF1k95Tk9bznJuUm92+mx/zL+IfHvEfidxln/HPFeNnjs84hx9XG4qcpN06EJO2HwWFg9KODwVBQw+GoxtGFKmt5Ns7vVNL07W9M1DRtXs7fUdK1ayutO1Kwu41ltr2xvYXt7u1uImyskM8EjxSIeGRiOM5rqqU4VYTp1IqdOpGUJwkrxlCSalFrW6adnp163PlcDjsZlmNwmY5fia2Dx+AxNDGYPF0JunXw2Kw1SNahXo1I3cKlKrCM4SSupRT1P4nv+Cg37JGvfsZ/H+aPw4L63+Hfie+k8X/AAp8QW7SRvp0UV4tzJoRvIwph1bwxemOOIjbJJZ/YruPdl3X+YuMOHq3DWbv2PPHB15vEYCtG65Epc3sudbVKErW0vy8slfU/wCl36I/0gMq+kf4TU5Zy8LW4wyTCw4f48yisoSjjJzw7oxzRYabl7TAZ3huadRe9CGIeJw87WSl/Rl/wTP/AG7tJ/ax+GUHhHxbex2vxw+HulWVr4stJnRD4s0yFRa23jHS14MhuSiR61bDL2d+3nZkgukaL9n4I4rp8QYFYfETSzTB04xxEXo8RBe7HEw2ve1qi15Z6v4kz/Hf6an0Wcw8A+NqvEGQYWdfwx4ux+Jr5BiKcZSWQ42o3Xr8O452tD2Kcp5bW0hXwiVNctWhOMv0+r7k/iAKACgDxn9oP/kkPi7/ALgH/qT6LQB7NQAUAFABQAUAFABQAUAFAHjP7Pn/ACSHwj/3H/8A1J9aoA9moAKACgAoAKACgAoAKAPGfBP/ACV743/901/9Ri7oA9moAKACgAoAKACgAoAKAPGfjJ/zSr/ss3gb/wBylAHs1ABQAUAFABQAUAFABQBxnxH/AOSeePP+xM8Uf+mO+oAPhx/yTzwH/wBiZ4X/APTHY0AdnQAUAFABQAUAFABQAUAeM+Cf+SvfG/8A7pr/AOoxd0AezUAFABQAUAFABQAUAFAHjPjb/kr3wQ/7qV/6jFpQB7NQAUAFABQAUAFABQAUAcZ8R/8Aknnjz/sTPFH/AKY76gA+HH/JPPAf/YmeF/8A0x2NAHZ0AFABQAUAFABQAUAFAH5NfEf/AJKH48/7HPxR/wCny+oA/9H+/igAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAfwwf8HwCt/wAKF/YLbB2j4u/GBS2DtDHwZ4WIBPQEgEgZyQCecUAey/8ABk+rD9gz9qNiCFb9qUbSQcNj4Y+D84PQ4yM4zjv1woB/Z1QAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/ALlKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoAKACgAoAKACgAoAKAPGfBP/JXvjf8A901/9Ri7oA9moAKAOb8YeLdC8CeGda8XeJb2PT9E0Cwn1C/uZCBiKBMiOJT/AKyedysMEQ5kmdEGN25eLMcwwuVYHFZhjaqo4XCUZ1q030jFbRWl5ydowineUmlpc8jPs8y3hvJ8xz3N8RHDZdlmFqYrE1ZdIU43UIL7VSpK1OnDXnnOMdL3P5xPi38SPGn7TnxgOowWl1d3et6jDoPgvw5CXkFhpr3Bj0+yijXcqzSBvtOoTjhpWllkYRxKV/jPiHOsz454j9tCnUqVMVWjhMswUby9jRc7UqcUtOZ39pWnb4m2+ZJH+T3HHFnEHjDx48VToV69fMcXDLOHspp3n9VwkqrjhcPCK0U583tsVUtrOVSc3yxjy/u/+zb8DdI+A3w303wxbxwT+Ib5Y9S8XatGo36jrUsY8yNZMbjZ6ep+yWaFmARGlHzTPX9WcF8LYfhTJaGBgoyxlVKtmGIS1rYmS1Sf/Puin7OlG7sk5Xbkz/Snwk8OMD4acJYTJ6UadTNcSoYzPcdGK5sVmE4LmhGSu3h8Kn7DDrml7kXPecmfQFfWn6eFAHzl8Q/2TfgL8TbmXUPEXgOwtdVnlE1xq/h6SXQNQuXzljcyacYorguc72mheRsk7wxNfG5xwBwpnk3VxmVUoV5S5pYjCSeEqzfXndFcs+Z7uUZN73V7y/KOKvBHwz4wqyxOa8NYajjak+erjsrlUyzFVZXu/bSwkqcKvM/ilUhKWrfMr+8w+CvDPw88cfs+eEPCGlw6PoGjw/EuGysoS743+G7aSWaaWQtLPcTys0s88rM8jsSdowi/R5ZlmCyfBUMuy6hHDYTDR5aVKN3a7cpSlKV5TnOTcpSk22300UfvuH+H8o4WyjBZFkWCp4DLMBT9nh8PT5na8nOdSpOTc6lWrOUp1Kk5SlKUt0kkfSFd57J8Df8ABRbxjqHhv4FQaLp1y1qfGfiex0W/KEiSfS7a2utTurYEH/Vzy2tsswIIaLcmRuw35N4yZjWwXCsMNRnyf2ljqWGq23nQhCpXnD0lKnBS/u6XV7S/mX6Vmf4rKfDall+ErOj/AKwZzhsvxTjdSqYKjRrYytRvdWjUnQoqppK8Lx05j48/4J2/BPwz4/8AFHib4geK7C31e28CTaVBoem3SmS1/t2+FxcrqFzAytDcrYwWwa3ilyq3EiSlH2AL+c+DvDGBzbHY7N8fShiIZVKhHC0ai5qf1qrzz9rOD9yfsow92MrpTkpWdkj8G+it4eZPxPnOccT53hqeOpcNzwVPLcJWTnR/tLE+1qrFVqbXs6qw9OknShPmSqzjUcXyxUv28r+nz/RMKACgD+ab9q2aO9/aR+LrW5Lq3jO7t1x1MkEVtbSAf9tY2A/+vX8UceyVTjTiFw1vmdSK85RUIPa/2ovp95/kX411I4jxZ45lRfMpZ/XpRt1nThRoyStf/l5Brbzsr2P6NvB8UkHhHwtDMNssPhzRIpVP8MkemWqOO3RgR0/Kv7Ly6Ljl+BjLSUcHhYyXZqhTT/FH+r2QwnTyPJadRWqU8py6E12nHB0YyXyaZ55+0H/ySHxd/wBwD/1J9FrsPWPZqACgAoAKACgAoAKACgAoA8Z+Df8AzVX/ALLN45/9xdAHs1ABQAUAFABQAUAFABQB+QH/AAUK/YOl/bZ+Lng2y0Xx1beBPE/g74YNdQXup6XcavpN/pk/i+7hntJre1urW4guY5LnzoLiNnVsGKRMFHX4fjHg5cULCVaeLWExOEU6cXODqUqlKo1KSai1KMoyjdNJp3s7WR/bH0Qvpez+jLPivLcy4VnxVw5xVPBY2tRwWNpZfmeCzPL6VahRq0q9ejXoVsNWo1nCtRmoyhKEalOTcpRPrT9i/wDYr+G37Gvw9/4Rvwusev8AjXW0in8cfEC7s0t9U8Q3afNHZ20e+dtO0Kxb5bHTY53DODdXTSXLgp6fDPDGC4awfsKFq2Jq2eKxkopVK0ltGO7hSg/hhff3pXbTPzX6SP0lOM/pG8Xf2znjnlXDWWynS4Y4Sw+InVwOU0JaSxNaVoRxma4la4nGypxai/YUYwowtP7Lr6U/nEKAPnP9qX9mnwF+1X8I9f8Ahd44s4Q93BLd+F/EKxK2o+E/EscLrp2t6dLjevlyFY722z5V9ZtLbzI2UZfGz7JMJn+XVsBior3k5UK1vfw9dL3KsH5N2kr2lG6d9D9i8DPGnivwI8QMp454XxFRxoVadDPModSUcHn2SzqReLy3GQvyvngnLDVre0wuIUK1OUbTUv5V/wBnj9l/9sj9n79uDwH4X8K+BPGOneKPC3j6xtNQ8U2mj6kPBWqeBn1GKLXdTudcMJ0e58N6p4f8+Z457ls74kMYuY1CfgeT5DxLk/FOEoYfC4mFfD4yMZ1405rDVMJzpVakqlvZuhUo3dpSlul8SP8Adzxe8cPo5+LX0Y+Ks7z3inh3GZHnnCmKxGDyPEZhg3xLgeKI4Oc8rwVHLFV/tCjnOBzb2VKM6WHjblnJTdGb5v7NK/pU/wCcEKACgDxn9oP/AJJD4u/7gH/qT6LQB7NQAUAFABQAUAFABQAUAFAHjP7Pn/JIfCP/AHH/AP1J9aoA9moAKACgAoAKACgAoAKAPGfBP/JXvjf/AN01/wDUYu6APZqACgAoAKACgAoAKACgDxn4yf8ANKv+yzeBv/cpQB7NQAUAFABQAUAFABQAUAcZ8R/+SeePP+xM8Uf+mO+oAPhx/wAk88B/9iZ4X/8ATHY0AdnQAUAFABQAUAFABQAUAeM+Cf8Akr3xv/7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM+Nv+SvfBD/ALqV/wCoxaUAezUAFABQAUAFABQAUAFAHGfEf/knnjz/ALEzxR/6Y76gA+HH/JPPAf8A2Jnhf/0x2NAHZ0AFABQAUAFABQAUAFAH5NfEf/kofjz/ALHPxR/6fL6gD//S/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1AHxb+3R/wT7/ZX/4KN/CGH4J/tX/DseO/B+na3D4k8O3lhqt/4d8UeE/EEMElr/a/hnxHpUsN/pd1PZTTWV5GDLaXtrIYrq2m2RlADo/2Mf2Jf2bv2AfgjpP7Pv7Lnw/g+H/w50vUb3Wri3e/vtZ1vX/EGpCFdQ8QeJNe1OWfUNY1e7jtraB7ieXZFb20EFvFDCipQB9X0AFABQAUAFAHjPgn/kr3xv8A+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/7lKAPZqACgAoAKACgAoAKACgDjPiP/AMk88ef9iZ4o/wDTHfUAHw4/5J54D/7Ezwv/AOmOxoA7OgAoAKACgAoAKACgAoA8Z8E/8le+N/8A3TX/ANRi7oA9moAKAPx6/wCCkHxv+26jpHwS0C9JttMMGv8AjRreX5Jb+VGOj6RNtLK4tIHOoTxHaVmmtt4ygC/zp4z8Ue0q4fhjCVHyUXHF5m4vSVVq+Gw8rXv7OLdWadvelT25Wpfwd9LLxF+sYvA+HeWV37LBulmfEDpzdp4mcW8BgalrqSoU5fWqkHqqlSlezhY7D/gnZ+z/AG9jpMvxy8TWW/UtTNzp3geC5i4s9NQmG/1yJXGfOvpBJaWko4W2ilkjwZg1ej4O8IwpYeXFOOpXr13Ojlcakf4dBe7VxUU/tVZXp0562hGTVubmPd+ir4X0sPgp+I+cYfmxeLdbCcO060NKGEj+7xOZQUlf2mJnz0KE9lRhUlC3PzH6q1+9H9qBQAUAFAHjPjb/AJK98EP+6lf+oxaUAezUAfm5/wAFM9Lurr4Q+DNThhaS30rx1GLuYdIFv9H1CGEt3AkljCDr8xAPUFfxfxuoTnw7ltaMW4UM0XtJfye1w9WMb/4pK3qfyX9L7B1q3AuQYyFNypYLiSKrTW1NYnAYqnTcuqUpw5Vpa9r20OD/AOCXmuWZ0n4r+GjJjUF1Hw/riwn+Kze2vLB5F5ydk6Rq/HG+PnnFeT4F4qn9Xz/Bc375VsHilDvTcKtJyT3dpJJ6aXW9z5r6G+ZYd4HjbKOf/ali8rzJU++HlRxGGlNdXy1IRjLTTmjtc/V+v34/tkKAPFPjV8dvAnwU8KavrniLWdPbWLaykfSPDMd7bHWtXv3XZaW9vY+aJxE0ro09w6CKGBZZSTs+b5nibirKuGcBiMVjMTReJhTk8PgY1YfWcRVatThClfmUXJpym0oxheXT3vz3xB8SeG/D3JcdmWa5hhXjqNCcsDk8MRReYY/EtctGlSw3OqvI6jTqVZRUKdNTk2+W0vwC+E/hjWfj18e9A029eae78X+L5Nc8Q3Q3SGCwF3Jq+sXDseVRLdJYo2I+VniULyFr+ScgwOJ4s4swlGo5SqZjmLxWMnrJwo+09viZt20UYJpN2toru6P8w+CMnx/iZ4mZZhMRKpUr57nssxzWurzdLDe3ljsfVb0tGNKM4Qb0TlBa6I/plijSGKOGMbY4kSNF/uoihVHfooA6/nX9txSilFaKKSS7JKy7dPL7j/XyEI04QpwVowjGEV2jFWS+SSPHP2g/+SQ+Lv8AuAf+pPotMo9moAKACgAoAKACgAoAKACgDxn4N/8ANVf+yzeOf/cXQB7NQAUAFABQAUAFABQAUAeM/wDNwv8A3Rn/AN3egD2agAoAKACgAoAKACgAoA8Z/aD/AOSQ+Lv+4B/6k+i0AezUAFABQAUAFABQAUAFABQB4z+z5/ySHwj/ANx//wBSfWqAPZqACgAoAKACgAoAKACgDxnwT/yV743/APdNf/UYu6APZqACgAoAKACgAoAKACgDxn4yf80q/wCyzeBv/cpQB7NQAUAFABQAUAFABQAUAcZ8R/8Aknnjz/sTPFH/AKY76gA+HH/JPPAf/YmeF/8A0x2NAHZ0AFABQAUAFABQAUAFAHjPgn/kr3xv/wC6a/8AqMXdAHs1ABQAUAFABQAUAFABQB4z42/5K98EP+6lf+oxaUAezUAFABQAUAFABQAUAFAHGfEf/knnjz/sTPFH/pjvqAD4cf8AJPPAf/YmeF//AEx2NAHZ0AFABQAUAFABQAUAFAH5NfEf/kofjz/sc/FH/p8vqAP/0/7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQAUAFABQAUAFABQAUAeM+Cf+SvfG/wD7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/uUoA9moAKACgAoAKACgAoAKAOM+I/8AyTzx5/2Jnij/ANMd9QAfDj/knngP/sTPC/8A6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/wDdNf8A1GLugD2agAoA/OP40fsBWnxV+L198RLTxydF0fxHe2t/4n0ibTZLu/8APiiht7k6RdrcRwol1DbqVW4T/R3Ztu8AV+NcTeEtLP8AiGrnFPNXhcPjKlOrjsPKjKpV54xjGf1epzctqije0+XkbaV0k5fyh4g/Riw/GvHWI4qocSPLsBm2Io4nOcBUwk6+J9rCFOlW+o11WhTjGtCkmlVivZSk+XmSXN+gnh/QdL8L6HpHhzRLVLLSND0+00zTrWMBVhtLOFYIV+UAFtqAu2Mu5Zzksa/XcJhaGBwuHweGpqlh8LRp0KNONko06cVGK0sr2Wr6vXW7Z/UGV5bg8my7A5Tl1GOHwOXYWhg8JRgklToYenGnTWlk3yxTlK3vSbk7NmxXQd4UAFABQB4z42/5K98EP+6lf+oxaUAezUAeP/Hn4W2vxk+FXizwFO4hutTsvtGj3Lfdtdc09vtelTNkgeWbqNYZ8n/USy9a+c4syKHEmQZhlMmlUr0ufDTf/LvFUX7TDyd7ae0ioy/uyk9bWPg/Evgyjx9wVnfDNRqFbGYf2uAqu1qOY4WXt8FN3aXK60FTnr/DnPc/nk0TX/i/+zV49up9P/tbwL4wsI7jTbyC/sB5d3aNIvmRyW19DJa39lJJFHLFMiSISqmOQZbd/H+FxfEXBObTnS+sZXmNJTo1I1aS5atPmV4uFSEoVaUpRjKMkmnZNNXaP8ssuzPjvwi4mrVMN9e4bz3DRq4SvSxOGThXoOa54To4ilKjisPOUIzhUipR0UoSV3GXts/7f/7S88IiHirRYCF2maDwtowmbr8xZ7dl3c9kXoPT5vp5+LnG0o8v1/Cw/vQwGGUn53cJK/yX/wAj+h1PpPeL1SCgs6y+k0rc9PJcvU5f3nzUpq/okvTRnmmt/tPftGeNt+n3nxN8Y3KXRx9g0WX+zBITkbEh0S3tZWBzjYCw9jxXiYnjnjLM70qmd5jNT09lhpexvfoo4aMJPe3X/t6zUfkcx8YvFfiHmw1fjDPq0azt9Wy+p9UUr/ZjTy+lQm0+136acpP4J/Zr/aC+MOprPZeD/EkguCpuPEvjD7ZpdiqHOHl1HWMT3PGSEto7iUjkIc4qss4K4v4jrqVPLsbJTtz43Mfa0aST6yrYi0p6bKCk3bTojTh7wj8UeO8YqmHyHN5Kq4+1zbPvb4PDxi/tVMVj7VatldqNKFWb6J3XN+yv7KX7LGlfs96Fd3urT2Ou/EHXBs1XW7WJ/s1hYqd0WkaS06JMIAcSXdy0cT3c2P3aRIiV/SXAXAmH4QwlSpXlSxWb4q31jFQi+SjTXw4bDuUYy5E9ak7Jzl2ilzf334K+C+C8Lctr4jG1cNmXFGYpRx2Y0YS9jhcMneGBwLqxjUVO/v16rjCVadlyqEYo+va/Qz91PGf2g/8AkkPi7/uAf+pPotAHs1ABQAUAFABQAUAFABQAUAeM/Bv/AJqr/wBlm8c/+4ugD2agAoAKACgAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAFABQAUAFABQAUAFAHjPgn/kr3xv8A+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/7lKAPZqACgAoAKACgAoAKACgDjPiP/AMk88ef9iZ4o/wDTHfUAHw4/5J54D/7Ezwv/AOmOxoA7OgAoAKACgAoAKACgAoA8Z8E/8le+N/8A3TX/ANRi7oA9moAKACgAoAKACgAoAKAPGfG3/JXvgh/3Ur/1GLSgD2agAoAKACgAoAKACgAoA4z4j/8AJPPHn/YmeKP/AEx31AB8OP8AknngP/sTPC//AKY7GgDs6ACgAoAKACgAoAKACgD8mviP/wAlD8ef9jn4o/8AT5fUAf/U/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1ABQAUAFABQAUAFABQB4z4J/5K98b/APumv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df+5SgD2agAoAKACgAoAKACgAoA4z4j/wDJPPHn/YmeKP8A0x31AB8OP+SeeA/+xM8L/wDpjsaAOzoAKACgAoAKACgAoAKAPGfBP/JXvjf/AN01/wDUYu6APZqACgAoAKACgAoAKACgDxnxt/yV74If91K/9Ri0oA9moAKAOU8T+BPBXjWOGPxd4T8PeJVtwwt/7b0ix1JrcPwwgkuoZXhDZ+YRlcnBOcDbwY7KsszNRjmOX4PGqF+T61h6VdwvvyupFtX8pL8UzxM44a4e4hjThnuSZXm8aV/Zf2jgcNi3Svuqcq1OcoJ3d1CUU+uyZ55b/s2fAK1keaH4ReA1d2LMW8P2MoyeuFlikVRxwqqFHbGa8eHBfCdOTlHh7Kk222/qdJ772Ti0vkl+DR8tS8JPDKjKU6fA3DSlJ80m8rw07t76TUktuiS/u6+76No/gfwX4fEY0Lwl4a0byhiM6ZoemWLJj0e2tonyPXcT78V7OHyvLcJb6rl+Cw3Lt7DC0KTXzhCL/rW9rn1eA4c4fytRWW5HlGA5PgeDy3B4dx9JUqVOX6+lkjqK7j2QoAKAPGf2g/8AkkPi7/uAf+pPotAHs1ABQAUAFABQAUAFABQAUAeM/Bv/AJqr/wBlm8c/+4ugD2agAoAKACgAoAKACgAoA8Z/5uF/7oz/AO7vQB7NQAUAFABQAUAFABQAUAeM/tB/8kh8Xf8AcA/9SfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j//AKk+tUAezUAFABQAUAFABQAUAFAHjPgn/kr3xv8A+6a/+oxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/7lKAPZqACgAoAKACgAoAKACgDjPiP/AMk88ef9iZ4o/wDTHfUAHw4/5J54D/7Ezwv/AOmOxoA7OgAoAKACgAoAKACgAoA8Z8E/8le+N/8A3TX/ANRi7oA9moAKACgAoAKACgAoAKAPGfG3/JXvgh/3Ur/1GLSgD2agAoAKACgAoAKACgAoA4z4j/8AJPPHn/YmeKP/AEx31AB8OP8AknngP/sTPC//AKY7GgDs6ACgAoAKACgAoAKACgD8mviP/wAlD8ef9jn4o/8AT5fUAf/V/v4oAKACgAoAKAPGf+bhf+6M/wDu70AezUAFABQAUAFABQAUAFAHjP7Qf/JIfF3/AHAP/Un0WgD2agAoAKACgAoAKACgAoAKAPGf2fP+SQ+Ef+4//wCpPrVAHs1ABQAUAFABQAUAFABQB4z4J/5K98b/APumv/qMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df+5SgD2agAoAKACgAoAKACgAoA4z4j/wDJPPHn/YmeKP8A0x31AB8OP+SeeA/+xM8L/wDpjsaAOzoAKACgAoAKACgAoAKAPGfBP/JXvjf/AN01/wDUYu6APZqACgAoAKACgAoAKACgDxnxt/yV74If91K/9Ri0oA9moAKACgAoAKACgAoAKAPGf2g/+SQ+Lv8AuAf+pPotAHs1ABQAUAFABQAUAFABQAUAeM/Bv/mqv/ZZvHP/ALi6APZqACgAoAKACgAoAKACgDxn/m4X/ujP/u70AezUAFABQAUAFABQAUAFAHjP7Qf/ACSHxd/3AP8A1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/APqT61QB7NQAUAFABQAUAFABQAUAeM+Cf+SvfG//ALpr/wCoxd0AezUAFABQAUAFABQAUAFAHjPxk/5pV/2WbwN/7lKAPZqACgAoAKACgAoAKACgDjPiP/yTzx5/2Jnij/0x31AB8OP+SeeA/wDsTPC//pjsaAOzoAKACgAoAKACgAoAKAPGfBP/ACV743/901/9Ri7oA9moAKACgAoAKACgAoAKAPGfG3/JXvgh/wB1K/8AUYtKAPZqACgAoAKACgAoAKACgDjPiP8A8k88ef8AYmeKP/THfUAHw4/5J54D/wCxM8L/APpjsaAOzoAKACgAoAKACgAoAKAPya+I/wDyUPx5/wBjn4o/9Pl9QB//1v7+KACgAoAKACgDxn/m4X/ujP8A7u9AHs1ABQAUAFABQAUAFABQB4z+0H/ySHxd/wBwD/1J9FoA9moAKACgAoAKACgAoAKACgDxn9nz/kkPhH/uP/8AqT61QB7NQAUAFABQAUAFABQAUAeM+Cf+SvfG/wD7pr/6jF3QB7NQAUAFABQAUAFABQAUAeM/GT/mlX/ZZvA3/uUoA9moAKACgAoAKACgAoAKAOM+I/8AyTzx5/2Jnij/ANMd9QAfDj/knngP/sTPC/8A6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/yV743/wDdNf8A1GLugD2agAoAKACgAoAKACgAoA8Z8bf8le+CH/dSv/UYtKAPZqACgAoAKACgAoAKACgDxn9oP/kkPi7/ALgH/qT6LQB7NQAUAFABQAUAFABQAUAFAHjPwb/5qr/2Wbxz/wC4ugD2agAoAKACgAoAKACgAoA8Z/5uF/7oz/7u9AHs1ABQAUAFABQAUAFABQB4z+0H/wAkh8Xf9wD/ANSfRaAPZqACgAoAKACgAoAKACgAoA8Z/Z8/5JD4R/7j/wD6k+tUAezUAFABQAUAFABQAUAFAHjPgn/kr3xv/wC6a/8AqMXdAHs1ABQAUAFABQAUAFABQB4z8ZP+aVf9lm8Df+5SgD2agAoAKACgAoAKACgAoA4z4j/8k88ef9iZ4o/9Md9QAfDj/knngP8A7Ezwv/6Y7GgDs6ACgAoAKACgAoAKACgDxnwT/wAle+N//dNf/UYu6APZqACgAoAKACgAoAKACgDxnxt/yV74If8AdSv/AFGLSgD2agAoAKACgAoAKACgAoA4z4j/APJPPHn/AGJnij/0x31AB8OP+SeeA/8AsTPC/wD6Y7GgDs6ACgAoAKACgAoAKACgD8mviP8A8lD8ef8AY5+KP/T5fUAf/9k=" + } + }, + "cell_type": "markdown", + "id": "dfdf8928", + "metadata": {}, + "source": [ + "![IMG_2188.jpg](attachment:IMG_2188.jpg)" + ] + }, + { + "cell_type": "markdown", + "id": "aa97749e", + "metadata": {}, + "source": [ + "## Q1 B" + ] + }, + { + "cell_type": "markdown", + "id": "b1833ed4", + "metadata": {}, + "source": [ + "We will be using closed form solution of linear regression derived using MLE " + ] + }, + { + "cell_type": "code", + "execution_count": 591, + "id": "acc33474", + "metadata": {}, + "outputs": [], + "source": [ + "class LinearRegression():\n", + " def __init__(self):\n", + " pass\n", + " def fit(self, X, Y):\n", + " self.w = (np.linalg.inverse(X.dot(X.T)).dot(X)).dot(Y.T)\n", + " def predict(self, x):\n", + " return self.w @ x" + ] + }, + { + "cell_type": "markdown", + "id": "3e69544f", + "metadata": {}, + "source": [ + "If $\\sigma$ remains constant with any value then the final objective won't change. \n", + "Parameterizing $\\sigma$ is only helpfull when the variance is varying with value of x or else it is of no use. " + ] + }, + { + "cell_type": "markdown", + "id": "d2f3de42", + "metadata": {}, + "source": [ + "## Q1 C (Considering Poisson Distribution of exponential distribution family)" + ] + }, + { + "cell_type": "markdown", + "id": "98b55a78", + "metadata": {}, + "source": [ + "The PMF of exponential distribution is given by \n", + "$$\n", + "P(X = k) = \\frac{e^{-\\lambda} \\lambda^k}{k!}\n", + "$$\n", + "\n", + "In our case $\\lambda = \\exp{(w * x)}$ \n", + "$$\n", + "P(y_i | \\lambda_i) = \\frac{e^{-\\lambda_i} \\lambda_i^{y_i}}{y_i!}\n", + "$$\n", + "Due to link function :\n", + "$$\n", + "p(y|x) = \\exp{(w * x)}\n", + "$$\n", + "And Log Likelihood of the distribution will be \n", + "$$\n", + "\\log L = \\sum_{i=1}^n \\left(y_i * w * x_i - \\exp{(w * x_i)} - \\log(y_i!)\\right)\n", + "$$\n", + "Then the loss function will be negative log likelihood\n", + "$$\n", + "\\mathcal{L} = \\sum_{i=1}^n \\left(-y_i * w * x_i + \\exp{(w * x_i)} + \\log(y_i!)\\right)\n", + "$$" + ] + }, + { + "cell_type": "code", + "execution_count": 561, + "id": "e37689e5", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#Generating and visualizing dataset\n", + "W = np.array([[0.3, 0.3]])\n", + "X = np.concatenate([np.random.uniform(0, 10, size= (500, 1)), np.ones((500, 1))], 1) #Uniform points between 0 - 10\n", + "\n", + "Y = np.random.poisson(np.exp(X @ W.T)) #Randomly sampled points\n", + "\n", + "plt.scatter(X[:,0], Y, color = 'red')\n", + "plt.xlabel('X')\n", + "plt.ylabel('Y')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 585, + "id": "ab2c9110", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|████████████████████████████████████████████████████| 100/100 [00:00<00:00, 425.38it/s]\n" + ] + }, + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 585, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def sample_batch(X, Y, batch_size):\n", + " idx = np.random.randint(0, len(X), (batch_size, ))\n", + " x = X[idx]\n", + " y = Y[idx]\n", + " return x, y\n", + "\n", + "num_epochs = 100\n", + "lr = 0.0001 #Learning Rate\n", + "w = np.zeros((1, 2)) #Initial Guess\n", + "batch_size = 8\n", + "loss_lis = []\n", + "for i in tqdm(range(num_epochs)):\n", + " total_loss = 0\n", + " for j in range(len(X) // batch_size):\n", + " x, y = sample_batch(X, Y, batch_size)\n", + " y = y.reshape(-1)\n", + " y_pred = np.exp(x @ w.T) \n", + " loss = -y.dot(np.log(y_pred)) + sum(y_pred) + sum(np.log(factorial(y))) #poisson loss function \n", + " total_loss += loss\n", + " y = y.reshape(batch_size, 1)\n", + " grads = x.T @ (y_pred - y) # Gradients dL/dw\n", + " grads = grads.reshape(1, 2)\n", + " w -= lr * grads #Otimization step\n", + " loss_lis.append(loss)\n", + "plt.plot(loss_lis)\n", + "#The loss is not normalized" + ] + }, + { + "cell_type": "code", + "execution_count": 588, + "id": "4ca32a56", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 588, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#Plotting Predictions\n", + "x_test = np.concatenate((np.linspace(0, 10, 100).reshape(-1, 1), np.ones((100, 1))), 1)\n", + "y_pred = np.exp(x_test @ w.T)\n", + "y_actual = np.exp(x_test @ W.T)\n", + "plt.scatter(X[:, 0], Y, color = 'red')\n", + "plt.plot(x_test[:, 0], y_pred, color = 'blue', linewidth = 3.5)\n", + "plt.plot(x_test[:, 0], y_actual, color = 'green', linewidth = 3)\n", + "#Red are training data points\n", + "#Blue line is predicted\n", + "#Green line is actual mean" + ] + }, + { + "cell_type": "markdown", + "id": "c6759f68", + "metadata": {}, + "source": [ + "# Q3" + ] + }, + { + "cell_type": "code", + "execution_count": 248, + "id": "48847b8c", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 249, + "id": "59396724", + "metadata": {}, + "outputs": [], + "source": [ + "X = np.concatenate((np.random.uniform(1, 10, (500, 1)), np.random.uniform(1, 10, (500, 1)) , np.ones((500,1))), 1) # x1, x2, 1 (so that there is \n", + " # no need to add bias separately)" + ] + }, + { + "cell_type": "code", + "execution_count": 250, + "id": "96daf17e", + "metadata": {}, + "outputs": [], + "source": [ + "W = np.array([[0.6, -0.6, 0.5]]) # w1, w2, bias (Actual Weights)" + ] + }, + { + "cell_type": "code", + "execution_count": 251, + "id": "6d385281", + "metadata": {}, + "outputs": [], + "source": [ + "Y = np.array([np.random.binomial(1, 1 / (1 + np.exp(-x @ W.T)))[0] for x in X]) # Ground Truth" + ] + }, + { + "cell_type": "code", + "execution_count": 252, + "id": "a4772868", + "metadata": {}, + "outputs": [], + "source": [ + "# reds => Y = 1\n", + "# blues => Y = 0\n", + "reds = np.array(X[Y==1])\n", + "blues = np.array(X[Y==0])" + ] + }, + { + "cell_type": "code", + "execution_count": 253, + "id": "a64c6e2b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 253, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#Train Dataset\n", + "plt.scatter(reds[:, 0], reds[:, 1], color = 'red') # Y = 1\n", + "plt.scatter(blues[:, 0], blues[:, 1], color = 'blue') # Y = 0" + ] + }, + { + "cell_type": "code", + "execution_count": 329, + "id": "eaff3905", + "metadata": {}, + "outputs": [], + "source": [ + "# Log Likelihood for bernoulli distribution : Σ log( sig(X @ w(T)) ) * Y(i) + log(1 - sig(X @ w(T)) ) * (1 - Y(i))\n", + "# Loss function will be negative of log likelihood\n", + "# w are predicted weights" + ] + }, + { + "cell_type": "code", + "execution_count": 330, + "id": "3e50d4d4", + "metadata": {}, + "outputs": [], + "source": [ + "def sigmoid(x):\n", + " return 1 / (1 + np.exp(-x))" + ] + }, + { + "cell_type": "markdown", + "id": "45211df7", + "metadata": {}, + "source": [ + "### Batch Gradient Descent" + ] + }, + { + "cell_type": "code", + "execution_count": 361, + "id": "1d63de9c", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Time taken for 15 epochs : 0.009 s\n", + "Predicted params (W1, W2, Bias) : (0.5904401523668777, -0.4685363912935351, -0.0072140807397043216)\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def sample_batch(X, batch_size):\n", + " idx = np.random.randint(0, len(X), batch_size)\n", + " sample_X = X[idx]\n", + " sample_Y = Y[idx]\n", + " return sample_X, sample_Y\n", + " \n", + "\n", + "lr = 0.001 #Learning Rate\n", + "w_init = np.random.rand(1, 3) #Initial prediction \n", + "w = w_init\n", + "num_epochs = 15\n", + "loss_lis = []\n", + "batch_size = 64\n", + "start = time.time()\n", + "for epoch in range(num_epochs):\n", + " net_loss = 0\n", + " for i in range(len(X) // batch_size):\n", + " x, y = sample_batch(X, batch_size) #Sample Batch from dataset\n", + " \n", + " probs = sigmoid(np.dot(x, w.T)).reshape(-1) # Apply sigmoid function to get probabilities\n", + " \n", + " loss = -(np.log(probs).dot(y) + np.log(1 - probs).dot(1 - y)) # Calculate loss\n", + " \n", + " grads = x.T.dot(probs - y) # Calculate gradient\n", + " \n", + " w -= lr * grads # Update weights\n", + " \n", + " net_loss += loss\n", + " loss_lis.append(net_loss)\n", + "print(f\"Time taken for {num_epochs} epochs :\", round(time.time() - start, 3), 's')\n", + "plt.plot(loss_lis)\n", + "plt.xlabel(\"Epoch\")\n", + "plt.ylabel(\"Loss\")\n", + "print(\"Predicted params (W1, W2, Bias) : \", (w[0][0], w[0][1], w[0][2]))" + ] + }, + { + "cell_type": "markdown", + "id": "7ce26f3a", + "metadata": {}, + "source": [ + "### Fisher scoring (Newton’s method)" + ] + }, + { + "cell_type": "code", + "execution_count": 358, + "id": "aebed416", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Time taken for 3000 epochs : 0.157 s\n", + "Predicted params (W1, W2, Bias) : (0.5419531901220592, -0.49088511105320853, 0.2822355886580812)\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "w = np.random.rand(1, 3)\n", + "num_epochs = 3000\n", + "loss_lis = []\n", + "start = time.time()\n", + "for epoch in range(num_epochs):\n", + " \n", + " probs = sigmoid(np.dot(X, w.T)).reshape(-1) # Apply sigmoid function to get probabilities\n", + " \n", + " loss = -(np.log(probs).dot(Y) + np.log(1 - probs).dot(1 - Y)) # Calculate loss\n", + "\n", + " grads = X.T.dot(probs - Y) # Calculate gradient\n", + " \n", + " hessian = (X.T * probs * (1 - probs)).dot(X) #Calculate Hessian\n", + " \n", + " w -= lr * np.linalg.inv(hessian).dot(grads) # Update weights\n", + " \n", + " loss_lis.append(loss)\n", + "print(f\"Time taken for {num_epochs} epochs :\", round(time.time() - start, 3), 's')\n", + "print(\"Predicted params (W1, W2, Bias) : \", (w[0][0], w[0][1], w[0][2]))\n", + "plt.plot(loss_lis)\n", + "plt.ylabel(\"Loss\")\n", + "plt.xlabel(\"Epoch\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "dd416537", + "metadata": {}, + "source": [ + "As we can see Batch Gradient Descent converges in just few epochs while Fisher scoring takes thousands of epochs to converge also for apples to apples comparison if we consider the complete dataset as a single batch in gradient descent (because adding batches slows it down) it turns out to be almost 2x faster than Fisher scoring method while achieving convergence wayy before. " + ] + }, + { + "cell_type": "markdown", + "id": "4472db37", + "metadata": {}, + "source": [ + "## Q2" + ] + }, + { + "cell_type": "code", + "execution_count": 274, + "id": "91ab0fcc", + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.linear_model import LinearRegression\n", + "from sklearn.metrics import mean_squared_error\n", + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 275, + "id": "1b21d2f9", + "metadata": {}, + "outputs": [], + "source": [ + "train_A = pd.read_csv('train_set_A.csv')\n", + "test_A = pd.read_csv('test_set_A.csv')\n", + "train_B = pd.read_csv('train_set_B.csv')\n", + "test_B = pd.read_csv('test_set_B.csv')\n", + "train_C = pd.read_csv('train_set_C.csv')\n", + "test_C = pd.read_csv('test_set_C.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": 276, + "id": "b5ba0f6d", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Set A\n", + "Test MSE : 22.25770734371434\n" + ] + } + ], + "source": [ + "#Set A\n", + "model_A = LinearRegression()\n", + "y_A = np.array(train_A['y']).reshape(-1, 1)\n", + "x_A = np.array(train_A['x']).reshape(-1, 1)\n", + "model_A.fit(x_A, y_A)\n", + "preds_A = model_A.predict(np.array(test_A['x']).reshape(-1, 1))\n", + "print(\"Set A\")\n", + "print(\"Test MSE : \", mean_squared_error(preds_A, np.array(test_A['y']).reshape(-1, 1)))" + ] + }, + { + "cell_type": "code", + "execution_count": 277, + "id": "10902225", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Set B\n", + "Test MSE : 1.9577195262268569e-25\n" + ] + } + ], + "source": [ + "#Set B\n", + "model_B = LinearRegression()\n", + "y_B = np.array(train_B['y']).reshape(-1, 1)\n", + "x_B = np.array(train_B['x']).reshape(-1, 1)\n", + "model_B.fit(x_B, y_B)\n", + "preds_B = model_B.predict(np.array(test_B['x']).reshape(-1, 1))\n", + "print(\"Set B\")\n", + "print(\"Test MSE : \", mean_squared_error(preds_B, np.array(test_B['y']).reshape(-1, 1)))" + ] + }, + { + "cell_type": "code", + "execution_count": 278, + "id": "aa6b6960", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Set C\n", + "Test MSE : 5.699794881410673\n" + ] + } + ], + "source": [ + "#Set C\n", + "model_C = LinearRegression()\n", + "y_C = np.array(train_C['y']).reshape(-1, 1)\n", + "x_C = np.array(train_C['x']).reshape(-1, 1)\n", + "model_C.fit(x_C, y_C)\n", + "preds_C = model_C.predict(np.array(test_C['x']).reshape(-1, 1))\n", + "print(\"Set C\")\n", + "print(\"Test MSE : \", mean_squared_error(preds_C, np.array(test_C['y']).reshape(-1, 1)))" + ] + }, + { + "cell_type": "markdown", + "id": "b33d7812", + "metadata": {}, + "source": [ + "## Distribution of 3 Datasets" + ] + }, + { + "cell_type": "code", + "execution_count": 279, + "id": "ddffc400", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Train Mean : -1.1694716306465126e-13\n", + "Train var : 0.06215692531922187\n", + "Test var : 16.147303073527276\n" + ] + } + ], + "source": [ + "#Set A\n", + "fig, ax = plt.subplots(nrows = 1, ncols = 2, figsize = (15, 5))\n", + "ax[0].hist((y_A - model_A.predict(x_A)), bins = 100, color = 'red') \n", + "ax[0].set_title(\"Error distribution of train set A\")\n", + "ax[1].hist((np.array(test_A['y']).reshape(-1, 1) - preds_A), bins = 100, color = 'blue')\n", + "ax[1].set_title(\"Error distribution of test set A\")\n", + "plt.show()\n", + "#As we can see the train set is normally distributed while test set is exponentially distributed\n", + "mu = (y_A - model_A.predict(x_A)).mean() # ≈ 0\n", + "print(\"Train Mean : \" ,mu)\n", + "var = (y_A - model_A.predict(x_A)).var() # ≈ 0.062\n", + "print(\"Train var : \", var)\n", + "#Train ~ N(0, 0.06)\n", + "\n", + "#Test set follows exponential distribution with some bias added \n", + "test_var = (np.array(test_A['y']).reshape(-1, 1) - preds_A).var()\n", + "print(\"Test var : \", test_var)\n", + "#since test_var = 1 / λ^2 \n", + "# We can say Test ~ Exponential(0.25) with some bias" + ] + }, + { + "cell_type": "code", + "execution_count": 280, + "id": "caa31abc", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#Set B\n", + "fig, ax = plt.subplots(nrows = 1, ncols = 2, figsize = (15, 5))\n", + "ax[0].hist((y_B - model_B.predict(x_B)), bins = 100, color = 'red') \n", + "ax[0].set_title(\"Error distribution of train set B\")\n", + "ax[1].hist((np.array(test_B['y']).reshape(-1, 1) - preds_B), bins = 100, color = 'blue')\n", + "ax[1].set_title(\"Error distribution of test set B\")\n", + "plt.show()\n", + "#Both the distributions look almost same" + ] + }, + { + "cell_type": "code", + "execution_count": 282, + "id": "4398d6d9", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Train var : 15.791529244378367\n", + "Test Mean : -2.374281984877448\n", + "Test var : 0.06257993769707847\n" + ] + } + ], + "source": [ + "#Set C\n", + "fig, ax = plt.subplots(nrows = 1, ncols = 2, figsize = (15, 5))\n", + "ax[0].hist((y_C - model_C.predict(x_C)), bins = 100, color = 'red') \n", + "ax[0].set_title(\"Error distribution of train set C\")\n", + "ax[1].hist((np.array(test_C['y']).reshape(-1, 1) - preds_C), bins = 100, color = 'blue')\n", + "ax[1].set_title(\"Error distribution of test set C\")\n", + "plt.show()\n", + "#As we can see the train set is exponentialy distributed and test set is normally distributed\n", + "\n", + "var_train = (y_C - model_C.predict(x_C)).var() \n", + "print(\"Train var : \" ,var_train)\n", + "mu_test = (np.array(test_C['y']).reshape(-1, 1) - preds_C).mean()\n", + "print(\"Test Mean : \", mu_test)\n", + "var_test = (np.array(test_C['y']).reshape(-1, 1) - preds_C).var()\n", + "print(\"Test var : \", var_test)\n", + "\n", + "#since train_var = 1 / λ^2 \n", + "#we can say train ~ Exponential(0.25)\n", + "#And test ~ Normal(-2.3, 0.06)" + ] + }, + { + "cell_type": "markdown", + "id": "69a4a53b", + "metadata": {}, + "source": [ + "###### Conclusion : Since train and test distribution of set B almost match each other and set B giving least loss on test set we can say B is from actual distribution\n" + ] + }, + { + "cell_type": "markdown", + "id": "458a34e1", + "metadata": {}, + "source": [ + "## Q4\n", + "\n", + "For each of parts, indicate whether we would generally expect the performance of a flexible statistical learning method to be better or worse than an inflexible method. Justify your answer using concepts covered during the lecture and try to hit upon certain key-terms. Also, discuss the bias and variance tradeoff in each scenario. \n", + "a. The sample size n is extremely large, and the number of predictors p is small. \n", + "b. The number of predictors p is extremely large, and the number of observations n is small. \n", + "c. The relationship between the predictors and response is highly non-linear." + ] + }, + { + "cell_type": "markdown", + "id": "ee3a71ba", + "metadata": {}, + "source": [ + "### Answer : \n", + "a. If n is extremely large and p is small then a flexible model will give better results as there are many examlpes in training set which makes chances of overfitting less thus both bias and variance will be optimal. And it will be hard for non flexible model to fit the data due to less number of predictors resulting in more bias and less variance. \n", + "b. If n is small and p is very large a flexible mode will just overfit the data resulting in high variance and less bias thus here a non flexible model will perform better as the number of predictors are also high having optimal bias and variance. \n", + "c. If the relationship is non linear then a flexible model will perform better as the model will have to cpture that non linearity which will be hard for a non flexible model. Again the flexible model might have optimal bias and variance (depends upon dataset) but the non flexible model will have low variance and high bias. " + ] + } + ], + "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": "3.10.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/assMath/ass2B/Parth_Assignment2B/Assignment 2B.ipynb b/assMath/ass2B/Parth_Assignment2B/Assignment 2B.ipynb new file mode 100644 index 0000000..1516996 --- /dev/null +++ b/assMath/ass2B/Parth_Assignment2B/Assignment 2B.ipynb @@ -0,0 +1,822 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 551, + "id": "da0f1a87", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import time\n", + "from scipy.special import factorial\n", + "from tqdm import tqdm" + ] + }, + { + "cell_type": "markdown", + "id": "d7d8032b", + "metadata": {}, + "source": [ + "## Q1 A" + ] + }, + { + "cell_type": "markdown", + "id": "d122719e", + "metadata": {}, + "source": [ + "Usually in linear regression problems the data is distributed around the ground truth with some standard deviation where the ground truth value depends upon x and weights, thus we need to estimate the central value around which the data is distributed that is the mean / expectation of Y|X \n", + "For better understanding checkout the below image where black line is ground truth with red points along it, around each point there is data distributed in blue points following the pdf curve (blue curve), since we want to estimate the ground truth (i.e. the black line equation) so we should be estimating the red points which turn out to be the mean of that distribution (blue curve) hence our goal becomes to estimate E(Y|X)." + ] + }, + { + "attachments": { + "IMG_2188.jpg": { + "image/jpeg": 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" + } + }, + "cell_type": "markdown", + "id": "dfdf8928", + "metadata": {}, + "source": [ + "![IMG_2188.jpg](attachment:IMG_2188.jpg)" + ] + }, + { + "cell_type": "markdown", + "id": "aa97749e", + "metadata": {}, + "source": [ + "## Q1 B" + ] + }, + { + "cell_type": "markdown", + "id": "b1833ed4", + "metadata": {}, + "source": [ + "We will be using closed form solution of linear regression derived using MLE " + ] + }, + { + "cell_type": "code", + "execution_count": 591, + "id": "acc33474", + "metadata": {}, + "outputs": [], + "source": [ + "class LinearRegression():\n", + " def __init__(self):\n", + " pass\n", + " def fit(self, X, Y):\n", + " self.w = (np.linalg.inverse(X.dot(X.T)).dot(X)).dot(Y.T)\n", + " def predict(self, x):\n", + " return self.w @ x" + ] + }, + { + "cell_type": "markdown", + "id": "3e69544f", + "metadata": {}, + "source": [ + "If $\\sigma$ remains constant with any value then the final objective won't change. \n", + "Parameterizing $\\sigma$ is only helpfull when the variance is varying with value of x or else it is of no use. " + ] + }, + { + "cell_type": "markdown", + "id": "d2f3de42", + "metadata": {}, + "source": [ + "## Q1 C (Considering Poisson Distribution of exponential distribution family)" + ] + }, + { + "cell_type": "markdown", + "id": "98b55a78", + "metadata": {}, + "source": [ + "The PMF of exponential distribution is given by \n", + "$$\n", + "P(X = k) = \\frac{e^{-\\lambda} \\lambda^k}{k!}\n", + "$$\n", + "\n", + "In our case $\\lambda = \\exp{(w * x)}$ \n", + "$$\n", + "P(y_i | \\lambda_i) = \\frac{e^{-\\lambda_i} \\lambda_i^{y_i}}{y_i!}\n", + "$$\n", + "Due to link function :\n", + "$$\n", + "p(y|x) = \\exp{(w * x)}\n", + "$$\n", + "And Log Likelihood of the distribution will be \n", + "$$\n", + "\\log L = \\sum_{i=1}^n \\left(y_i * w * x_i - \\exp{(w * x_i)} - \\log(y_i!)\\right)\n", + "$$\n", + "Then the loss function will be negative log likelihood\n", + "$$\n", + "\\mathcal{L} = \\sum_{i=1}^n \\left(-y_i * w * x_i + \\exp{(w * x_i)} + \\log(y_i!)\\right)\n", + "$$" + ] + }, + { + "cell_type": "code", + "execution_count": 561, + "id": "e37689e5", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#Generating and visualizing dataset\n", + "W = np.array([[0.3, 0.3]])\n", + "X = np.concatenate([np.random.uniform(0, 10, size= (500, 1)), np.ones((500, 1))], 1) #Uniform points between 0 - 10\n", + "\n", + "Y = np.random.poisson(np.exp(X @ W.T)) #Randomly sampled points\n", + "\n", + "plt.scatter(X[:,0], Y, color = 'red')\n", + "plt.xlabel('X')\n", + "plt.ylabel('Y')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 585, + "id": "ab2c9110", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|████████████████████████████████████████████████████| 100/100 [00:00<00:00, 425.38it/s]\n" + ] + }, + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 585, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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pKW2i2fPBdDKtUj7o/uAOpzVM03QwnHJAllQ4+GDaDqVdqL9HJs2eD6ZzmaXgI27lQ/F8LHTlQw48cvW1hA2nyYWDD6btlDWGU87XMp0IBR/zcXs+qM8HKx8A7Eppvp7C5TUkuXDwwbQdq9rF7vlY6Isp05nMlVqlfNjTLgt9EKMcfIjGa6yeJhYOPpi2U1TSLuz5YDoZYTiN2/OhpF0WerAuD6LsybJpPelw8MG0HVpEyetheT544WA6i2rVFEFH3MpHsdJoOF3IU1xLksqRz3Dvk6TDwQfTdkSpLSsfTIdDKRcAKJRbo3yQ5wNY2PcMbVbSKcPyjXHaJbFw8MG0HdFkjDucMh0OmU0BoFCKV/kQpbY5KfhYwDt9Oh+ZlCHWkoUcjCUdDj6YtqMaTln5YDqVuWLrlI+i0mQMWNg7/bLUL0g0KlzAwVjS4eCDaTu0QOSUahdeOJhOY7ZUFv8/H7vy4RB8LOB7piylXahsv7zAe58kGQ4+mLZTVAynrHwwncpsC5UPSlfms9YyvpDvGfJ8ZNMpXkM6AA4+mLbT0OeDO5wyHUor0y7yfSN2+gv4nqHzUVM+qNR24Z6PpMPBB9N2ymp7dd61MB2KrHzEnXaRZyLxJGhL+eDz0Rlw8MG0nZLSXj1NHU554WA6DGowBrSi1LbulcqkkOVJ0Fa1SzrFk7E7AA4+mLZjldqy8sF0NrLaUamasQ17M03TVlqa5lSlCMYybDjtCDj4YNqOrtSWO5wynYacdgHiUz/kaa3ZjLXTX8hTXMnfkZbTLryGJBYOPpi2Y3U4Vaba8sLBdBgNwUdMvg9ZUcmmUlJjvoV7z1SktIswnC7gYCzpcPDBtB017cISMtOpzCnBx3xMyof8UM2mrY6ecaV5OgE57cLKR/Lh4INpOw2ltilaSHnhYDqLVikfRSnIkGeZLGTlg5uMdRYcfDBth3K1DdUuC3ghZTqTOanDKQAx4TZq6J7JpVMwDEOohgs5YK9I6wgrH8mHgw+m7RTL9j4fWV44mA6l0XAak+ejrBvGuHDvmbJtqi03GUs6HHwwbcdSPtjzwXQ2Lat2qVoNxgArCCkt4HvG8nxIHV8XsBKUdDj4YNqO2mSMq12YTqXBcBpztUsuQ+Xp3JjPajJmiPPBa0hy4eCDaTslJe3Cng+mU5E7nALxKR/yLh+QU5ULV/moSGoQG06TDwcfTNtpkJBZ+WA6FDXtEpfyQdUu2QxPgibIbMtNxjoDDj6YtiPSLhmlw+kClpCZzmSuHmwM9WQAxK980EwXbqrFTcZ0/O/HduKCjT/Gc3sn230oNgIFHxs3bsR5552HwcFBjI2N4V3veheef/558f1SqYRPfOITOP3009Hf348VK1bgD/7gD/Daa69FfuBM96AupKx8MJ0KKR+L+nIA4myv7jySYCHfM/KsG9EraAGnoYj7ntmH1ybm8fPth9p9KDYCBR+bN2/Gddddh0ceeQSbNm1CuVzGpZdeipmZGQDA7OwsHn/8cXz605/G448/jttvvx3btm3DVVddFcvBM91BsWGqLeevmc6EDKeL++vBR8yGU6pyYY+D9d7ltAv7xqxrpRjzlOWgZIK8+J577rH9/dZbb8XY2Bi2bNmCCy+8EMPDw9i0aZPtNf/jf/wPvP71r8err76K1atXN3/ETNehpl0yaV44mM7DNE1hOF3clwUQ/2A5Vj4s6L1nU5x2kSkmNPhoyvMxMTEBABgZGXF9jWEYWLRoUTP/FNPFNKZdeOFgOo9CuQp69o/U0y5xGU7Lanm6eNgm6wHTSmizkrZ1OF2454OgasJiwq6NQMqHjGmauOGGG7B+/Xqcdtppjq+Zn5/HJz/5Sfz+7/8+hoaGHF9TKBRQKBTE3ycnk2WKYeKnpDj3uVsj04nIPT7i9nwUNfOQFrTyUXEqtV2454Mo1M9LXNdiWEIrHxs2bMBTTz2Fb33rW47fL5VK+N3f/V1Uq1X84z/+o/b3bNy4EcPDw+LPqlWrwh4S06GUlJ4FvGthOpHZusqRTRsYyKcBxOf5KCuToDPcVEsynKZEr6DSAj4fRKncRWmX66+/HnfffTfuv/9+rFy5suH7pVIJv/M7v4MdO3Zg06ZNWtUDAG666SZMTEyIPzt37gxzSEwHI7o1ptnzwXQuc3W/R282jXy2FnzENVjOumdYLSQqUofTLI9oEBQTqnwESruYponrr78ed9xxBx544AGsXbu24TUUeLzwwgu4//77MTo66vo78/k88vl8sKNmIuGVQzO4/7n9eN/5a4R82w6E50M0TOJdHNN5zBVri3tfLoN83Twd22C5ql0tFLNdEpbXbyVykzE6Lwt5yi/RFdUu1113HW677TbcddddGBwcxN69ewEAw8PD6O3tRblcxm//9m/j8ccfxw9+8ANUKhXxmpGREeRyuejfAROaL97zPH749B705zN4z7ntSXeZpiki84zS52Mh7+KYzoMqXfpyLVA+ykqFGN8zQuXIcqmtDbpW4gqEwxJou3vzzTdjYmICF198MY466ijx5zvf+Q4AYNeuXbj77ruxa9cunHXWWbbXPPzww7G8ASY8h2ZqRt/HXz3ctmOQ1Y0clw0yHQx5PnpzafTErHyUpQctYHk/FvJOn9aLtG2qbbJ2++0gqaW2gdMubhxzzDGer2GSA+3Ktu6caNsxyG70jDrVlhcOpoOgahdZ+WhVnw9L+Vi494xlwuXZLjIUdCSt1JZnuyxgqAfBtn1TDaPAW4V8Q3DDJKaTodbqvZLnI64+H2qHU8vz0T33zP7JeXz3sZ2+z6HcXp2bjFkIw2lMKcCwcPCxgKEhWJWqiWf2tEf9KNuCD2oVnRLHxXQH//7IK/jjf30stodxEqBql75sGj2xKx/qbJfuu2f++4+ex43/5ync/aS/2WCk+qR5tosNCkhZ+WASg6x2PNmm1IvV48OAYfB48G7lnzZvx33P7sPWnUfafSixMSunXWJWPkSFGAXsXdgb58UD0wBqCogfSvJgOS7XB1B7/3QOkub54OBjATMnLYxP7jrSlmNQd3AAO/e7kfGZIgBgplBu85HEh5V2iV/5UDucpruwo+euw3MAgOmCvwCuIjVe4xENNeTS646udmG6C3lX9tSudikf9tw1ICkfCZMJmXDMlyriwTzTJm9RK6BgXlY+4go+1A6n2S7rjTNfquDAVK0ab7pQ8vUzsueDuyTXkK8/Vj6YRFCqVG3mtB0HZzAx5+8mj/Y4aseQsykf3Ze/Xsgcni2K/+9u5aPe4bSFhlPqcNptqcrXjsyJ/5/xqXyUJc8HG05ryMoHBx8dRrFcxb8/8gpePjjT7kOJFHlRXDZU6zD7dBvUD0flI91dC+lC59D0Qgk+LOUjfsOponx0WV8LSrkAwLTPa4Y2K9l0iju+1pEDjqS1V+fgw4P7n9+PT9/5K3zh/z7X7kOJFOrxYRjAeceMAGiP74M9H92PrHzMdnPaxcFwWixXUY3hOhZNxpRql24J2HdLysf0vL/go2xrr85rCMDKR0dzuG6UI8Nct0DKR08mjbNWLQIAPNmGSgRaLOW0iywhc9O6zke+dxaC8iEPlgPiKXG0gnZ7n4/uUT5mxf/PFH0GH1Ua02BYHV85+BD/X0jYtcHBhwckVc11WX+COakV9BkrFwFoj+mU5g7IaRfatQC8c+kGDsvBh88HSVIxTVObBrCUj4xorw7E09xJ1+G0W5SPMGkXq706Kx+EajhN0maOgw8PSKrqtuZIc9Iu7bSjh5AygL2T89jns6Y+KtSSQcDKYwPds5h2C8VyFXdt3e37gQAA47OWkXnWp3kwqfy3HzyLsz97L57bO9nwvdkSGU5TyKRTQsGbj6HEUXillNku3WKw3H04eNrF5vmQgo8kPXBbjdrxNkmNxjj48IA+rDgWkHZCykdPNoW+XAYnLBsE0PrUi1oyCLDykWS+dv+L+Oi3t+KWB7b7/pluUj6e3HUEpYqJra8eafielXapjcwSw+ViUD7ovsl16VRbWfnwm6or2TwfvIEBGn0eSfJ9cPDhQaH+kJ4rJudDiwI57QIAZ6wcBtD61ItaMghYng9gYS8cSeTeX+8FAMedvw6756Ozg3hSQA85eMBkwykA4fuIY+NSFMqHPfjohnbixXIV+6YsBXamWPFl2q3YPB/SGtIlalAY1GofDj46iIIYytPZi6bKvJR2AYAzyXTa4ooXqyWyZDg1WPlIIvsm5/Hc3ikA9p2pF+NdpHxQ8OFkQJ9Vg49YlQ9nw2k33C97JuZgmnYF1M91I5qMSaW2QHcEZGFRg40kldty8OGB8Hx0WdqF3g/1IzhTMp22MkdKhtOsZNBLpQzQurPQOxQmic3PHxD/v+vwnO/rxFZq2+HKBy3eTsHHXNGuJvbEqHw0Gk5Ttq93MhTYrhntEyqoH8WsrEm7VLrgnIRF9Xiw8tFB0GJTqphdU8YGWGkkWiBPXD6IXCaFibkSXjk06/ajkeKUdgG4y2kS2bzNCj6mC2VMzvlTMeQHdRCjahKh/jhq2qVcqYqFvi9X83zEqXyozfksz0fnr1FkNl25uA/99UDOz3VTUdqrk4DKyof09wQ9wzj48ED+8OYTFDU2i/B81IOPbDqFU44aAtDa1ItT2gWQ57tw8JEEypUqHnrhgO1rOw97B6mmaSpNxjo7+CiItEvB9nW5FF/1fMQx0EttztdN1S7U42Pl4l4M5GuBnJ/gQ/T5aAjIOv+chEX1fMQRCIeFgw8PbMFHF/k+5pXgA4BoNtZK06lT2gXovr4Fnc7WnUcwOV/Gor4sTj+6Zk724/uYLpRtqYBOHywn0i7TduWDUi6GYSke1nyXGDwfoqy0+2a70HV19OJeDPTUgg8/FS+ici5lT0V1Q0AWlkblIzn3HwcfHsi7lrkOXzhl1Pw0YFW8tLLcVrSJTtnTLul098jI3cADdb/Hm45fitWjfQDsXSh1HJ6xDysslqsdO2+jUjWFbH1opmjzvAizaTYNo673W5NtY1A+ynblo5tmu+w6IqVd6srHlI9eH3KTMQA83wUOykeC1HsOPjywD+bpouCjZDecAsApK2pplxf2T7fsOFTjHJHpslkVnQ75PS46YSlWLu4F4E/5OFRPT4wN5sXXOtV0Kt//hXLVNqdG9Pio+z0AyXAah+dDSVd2k/JheT6stIsf5aOiqEGcdgGKiurDwUcHIRt04lhE2oXq+QCAwZ6s7XutoCjSLqrhlD0fSeHAVAFP766l4i48YQlWLiblwzv4IL/HsqEeMb+nU8tt1Xy5bKSdq3c37ZOUxFiVDzJq1+8bMUK+wx+0pUoVeybqwcciKfjwcc3QOUkrXV+7oQIoLNxkrIORF5yu8nyInZp1CfRIkzhbVW5rDYNyNpwu5F1LUiCj6akrhjA22CMpH95pl/F62mVxfw59+dqDuVNNp2rJrFzxovb4ACzlI47dpupvsAzayXm4hGHvxDyqZq1z65KBfKC0S6Wqej54DeEmYx2MrHx003A5Wkhl5UOexNkqea6ktIkmxJTOBbxwJAXye1x84lIAwKp68LHbR68Paq0+0pdFf44qFzrzPlKVz8MOwUevg/IRx6ZFzESq/xvZLklTkpq2clEvUinDd9rFNE2pyZji+VjAvjFuMtbB2KtdkvPBNQsZTuWAI+5JnE6oA7IIVj6SQaVqCuXjohPGAABHL6qlXaZ89PoYr6ddFvfn0E/KR4f2+lDTJ7LyobZWB4B8Jk7lw27UTndJsL77iFXpAsB38CGvE2LYHvcKYuWjkyl0aamtk+cj7kmcTqj9CsSxCANdcm6WhchTu47g8GwJgz0ZvG71IgC13f2SgRwA714flvKRE823OrXcVt18yL0+1KFyQG1oY+3non2/laoJep6KapcuSbvIPT4AWGkXj+BDDrqE5yPF1S5q4FtMUNEEBx8eyJFiN6Vd5uoLqRx8APF2ZXSiXLE71Ik071oSAVW5rD9uiW3y8NGL6qmXI+6mUzJljgxYyoffKaVJQw0i7J4PJ8NpPMqH/DDNKH0+qiZ8DWFLKqLHR/368tvnQ14nurHxWli41LaDkT+sbhouN++QowZkk1xr3mvRU/lYuAtHElD9HoTfipdxR+WjM4MPdeGWG405pV1I+Yg6kJcfKOqDFujse0ZurQ4AAyJgdV+P5ABDVT4W8gaGq106GPkh3FWeD4c+H0C8XRmd0PX54Pbq7We2WBat9i88QQ0+/FW8yJ4Pyt93ap8PVfmQS21nSy6G04gDefmesAbLdcck6F1HlLRLzm/aRVKDuMmYoMHzkaBzwcGHB92bdmn0fADx9iZwQh0NTmS5w2nbmZovwzSBlAEsH+qxfc9vozHh+ejPCVWgW5QPT8MpqYgxKR8po7GbJ9C51R2Vqok9R+YBSIbTgGmX2kC5cMrHTKHc0onerYCCDWtdT861wcGHC6ZpKk3Guif4mHfYqQHx9iZwQmc47aaOjZ2KPP+HFnTCT9qlUjVxZK7e56MvJ8yDne75GKw/EMcdPR+NhtOoA3nR3VS6Z7phhPy+yXmUqyayaQNjg7Vg12+1S0kKPgg6JyUfa8gL+6Zw9mc34bM/eCbUsSeVYrn23uma5bRLh1CqmJAD4W5Ku8yLtIv9EoizN4ETlHbJaNqrd7KE3OnoUnOAv7TLxFxJ3D+LpD4fnVrtQp6vFcO19z7u1Ocj62A4jVr5qD9ActI90w0j5CmQPWq4VwQRFLBOezQZq4ima1LwEWDeza9fm0SxUvWcazVbLHeUoZc2zxTEsfLRIaj5sW5Ju5QqVfHQb0i7tE35cO7zwZ6P9kHBtlPwQbL41HwZE3Olhu8D1sN5qCeDbDrVBX0+audjxaLarny6UBaqhqvhNGrPhzI6nuh0g+Vuxe8BAINSe3W3lIjVKVlWPvyrp5QKdPNEHJou4PWf/zH+5D+2eP6+pECB6gArH52FWt3SLdUusqqhN5y2ts9HTlPt0qkLaTdAD1RVHQNq6YXR/lqvD536QXNdRgfy4meATu5wWjvuscEeERxTgOXc4TSewXIkpWuHMXZowL5r3BooR5DyUTXdN39lp1RUgFJbMkG7qVQvHZzBdKGMrS2c+t0spQblIzn3HgcfLqhRcKsab8UN3cSGYQUbRJxdGZ3QpV3Y89F+6Hp3Uj4AS/3Q+T4O1UtRF/fVBhb2d/psF+qNk0tjcV8t8KL36GTgjsu8Tbv8bMpZ+ejUe8bq8dEnvtaXS4t0klvqhQKMtIPy4ce0TsGjm/JBgYlX2W+SUNMurHx0COoHNdehuWqV+aLVYEw1Elq9CVrd4VRZSLnape0UNBVRxEppxosTpHyM1BWSjvd81IOIfCYlVB9SPqy0i2w4jUf5KClzXYggHockQg3rZOXDMAwMCMVMH3yQQpq1eT78T7WlgNjt4Vys1D5jrxRQkqD3I4KPBF0bHHy4oO7+u8VwqiuzBSSpuEURclnb56M7BmV1Mm6GU8C74oUezKQS9HW454Pu/3w2LQIqkXYp1d6TU5+PyKtdHMyVQLB75pVDM/jFS4cSZZ5UW6sTVpWU/jySyTYtbWKyAVK3M36Cj/r3TLNzngUUbNA5bFXnaj9kvF+ycFEvxG5Luzg9VPIxdWXU4TnbpUPz192Am+EU8K54kXt8AJLy0bHBh+WBGRnQKR+y4TTe9urqPZNN6++ZQrmCR3eM4/7nDuCB5/fjpYMzAIB/fN/r8PbTj4r0+MJQrZp4TenxQVC6bqrgbGwGrABDLjmmFIyf6h+RdnH5rOTPcaZYbmhTkESE56MnecoHBx8uqItG16RdNGW2ANAjlI8WpV00zn32fLQft+sE8G40Jnc3BaQdbIfeR7Qe5DPphrTLrONUW8u8bZpmQ4ozLHq10HkY48RcCZf+f5uxb7IAlZcPzTR9PFG8twPTBRQrVaRTRkNDu4GemmfITfkoO5bahjCcujyc5cBktlABBjx/bduhYx5kz0dnocqlSaqRboY5TYMxoA3KR925r1a7cIfT9uM/7eKhfPRR8NHphlNJ+agHH4dmijBN0/GeohRm1Yw2iC5quwI7p11e3D+NfZMF5DIp/M65K3Hz+16H33rdytp7ajIQfGrXEZzzufvwrUdfber37JmoqR7LBvMN5vMBHwMJKeByMpwGKrUtV7V+DlX56AQoRcfVLh1GQ9qlW0ptHRoiET2i2kX/Xv/h/hfxD/e/GMmxcIfT5DKvmXxM0OTRSU2vj/HZenfT+oOazJilipmoRdAv5IPqsSkfBcyXqqKZmmw4zUuKUZRrR9mrQkzZ6dO/fcxoH77422fi8tOPwpLB2vHPNhl8PLpjHOMzRdz7671N/R66fobrgaqMn/kuVqltuCZjsqqtM6jalI8OCT6E4bSuHrHy0SEIyaqeL2tFk7Ev/N/nsPE/n4313/Dj+dAZqmaLZfz3Hz2P//6j513d536h4KOxYRJ3OG03XmmX/nxGKABOFS/jMzWZ3/J8WNdbJw6Xo+qffDaFkf5a75LxmaLtQeRUagtEq5p69cZR0y7zDgZz+v9m1zR6X/unGlM6QZiarwUftNbK+JnvYnU4lVvOBzGcWudBFxjLfolO6VXDpbYdCt1YQ/WoMW7lY6ZQxi2bt+OfHnwJB6ebu5ndcK92cXfoy3lXWjCagXYZ6kLKykf7cXpoqZD64ZR6OTxTuz4o+MikU+L66hTZWkZWPuS0C6kH+UzKJvsbhhHLQC9twJ52vmecNhtRBR90jTj5SYIwVe/hMeQUfPiY7yKUjyZLbQH9A9ru+Uj+9WuaZkOpbZKsA4GCj40bN+K8887D4OAgxsbG8K53vQvPP/+87TWmaeIzn/kMVqxYgd7eXlx88cX49a9/HelBtwr64IZ7KfjQ5wOjQL65XjviPi20GeYcujESXg59OQCLomqhW1tFdwPzYqevDz50ptNCuSKUsRFJSvdTNplUZOVjVKp2oQd4n5OHKoaOwSWN4VTX4dTqVGsdHx1rs8dF68ShmUJT/UVoI0MbPRm6Zqbcmow5eD6yGiXICTn9pKsIkTdknWCaloPQjm+vvnnzZlx33XV45JFHsGnTJpTLZVx66aWYmbEc01/84hfxpS99CV/72tfwy1/+EsuXL8fb3vY2TE1NRX7wcUMXIQUfQLyR43SLgg+3Ha3XYil/3W0x8INpmtqFlGe7tJ85j1JbQB98HKn7PdIpwyalk+k0icrH//7lTnz0208IZUGF7v0eqc/HkdmSuA9kvwchZiVFaOAWHU61Abt32oU+02Yr+Oh3m2ZNBQrL5FztHDqmXXwoH6LJmG3Ynv++J7KS4Uv5SOD1qyJfx0L56NRS23vuucf291tvvRVjY2PYsmULLrzwQpimiS9/+cv41Kc+hXe/+90AgH/913/FsmXLcNttt+FDH/pQdEfeAminM9Rrnab5UsV1MW4GOfreXa95jwO3/g1e7dVlmbZZz4csh+r6fHC1S/vwk3ahihcaCkZYDcaySEm7UTIPJtHz8bX7X8Sr47O45vw1OPeYkYbvCw9MptZe3TBqD13aKDgrifVgPkKDLT0EG+6ZejCiphnktvAE/X+zhlM5qNo/WcAypUzWL5bno1H5GJCGy+lwbK/u03BqmiZmpXXNT/DRCcqdfLyy5yPKsu9maMrzMTExAQAYGandqDt27MDevXtx6aWXitfk83lcdNFFePjhhx1/R6FQwOTkpO1PUhDd4XIZ8TCMs7Ndq5QPN8OpV3t1eafUbNpFlkMbp9rW87WcdmkbXoZTQK98HFa6mxIk9ydR+aDrWVdVMS+lXdIpA4vqiii9d+e0SxzKR6O5Uv67mqp083w0m3aRg6r9U+E3TMLz0atXPvykXcJMtZWrlQD9xktOx3SC8kHHaxj2wDMpjcZCBx+maeKGG27A+vXrcdpppwEA9u6tlVstW7bM9tply5aJ76ls3LgRw8PD4s+qVavCHlLkUOSYy6SkOQ3xRbzyBd2K4MOtvbof5aPZtAv1+AD0u7gKp13aRhDlQw0+SIKnMlui34eE3i7o2talIgqS4RSwjLRktnUsXc+6G7jDQDv5XMbZcKqmjeYcgsjIql1k5aOJipfJeUq76D0fvgyn6UbDqVfqVg2E9Z6PzlQ+cpLRW/56uwkdfGzYsAFPPfUUvvWtbzV8T5V03GSem266CRMTE+LPzp07wx5S5FgdDVPixo2z3FYu34rV8yEMpw4dTsVi6W04bTrtIikf6pyKTp/Q2Q14tVcHrFbYE3MlTErVTzRUblQNPhI6XE5uFOb0kDNNs0EJGq2X2/pRPqJUTIsOZaW1vzubtB1LbXMRVbvIykcTFS+TbqW2PkzKTu3VrUaF7muImgLUPZztwUfygmcVuZJQribs6ODj+uuvx9133437778fK1euFF9fvnw5ADSoHPv3729QQ4h8Po+hoSHbn6TQcuVDuqDj9Hz4GiynS7tEWO0iT7RVg9M0ez7azpyUZtAxkM+IctsHtx0QXx/XKB9JHS5XKFvSu9MDuVQxQc+wvEb5cDScxjBcruzRG0dNVboGH8Xm7i+78tF82sXR89HjPdW25OD5ELNdPNIMNBSQ0KZdOqzDqfz8SqUMEYAkpdw2UPBhmiY2bNiA22+/HT/5yU+wdu1a2/fXrl2L5cuXY9OmTeJrxWIRmzdvxgUXXBDNEbeQgmPw0RrPx8HpQmyBjq/Bcrq0i7RYuXUc9ENZs4OrfY2Vj3bjJ+0CAO9+3dEAgP/92C7xNbW1OpHU4XKzNi9T430nBw90j9Bwud2uhtPoPR+6JmNpkap0nkllM5yKapfmPge75yO88mGV2jopH7VjdQs+Kg4l+1mf1S7q5+2v2iVZyp0TavfoXD0Q7kjl47rrrsM3v/lN3HbbbRgcHMTevXuxd+9ezM3Vbj7DMPCxj30Mf/M3f4M77rgDv/rVr/CBD3wAfX19+P3f//1Y3kCcyIOkhGs9Vs+H/XfvnYhH/XDt8yEMct7Kx3STng/djAoASKe5w2m78ZN2AYDfPqemfj70wgGRLlRbqxNJHS4n+62cHsjypoPUDEop0ffc+nxEqXyUKo3+BkDua+FsOM07GE7n6kPvwhKV58NN+ZA9H7pjdWoy5rdRoWoe9Vftkqzg2Ql58yz/tyMNpzfffDMmJiZw8cUX46ijjhJ/vvOd74jX/MVf/AU+9rGP4U//9E9x7rnnYvfu3bj33nsxODgY+cHHjSxbReUOd0O9oOPyfVCnRse0iygNjL/JmNjBZVj5SCLzLgqZzJrRfrxh7QhME7j98Zr6IZSPfvvDpF+UeCZr8bZd1w6Bkah0yaREinBECawcBzXG2OG0sTeO807faUZPT84aetfMw0gOqg5MhtssmabpoXzUvlaumtrzaJXaSu3VfZbaqpu+YsW7vXpnKR+18yDSLi0aGupF4LSL058PfOAD4jWGYeAzn/kM9uzZg/n5eWzevFlUw3QaRUneFGmXGAdiqbLi7riCD4eOhwQtlpWq6XjTRmk4dUu7pLnDadvxm3YBgN85t1al9t0tu2CaptTnQ/V8JLPDqfwwcXqwyA3GCDX46Ms2Pjjj8IqVNY35spqHrZPHS/7/+SZ8H7IidGC6EEpFmSlWhJ/GUfmQvDS6NacsmozJpbb+0i5+lQ97h9NkBc9OWJvn2mdNG0tdcNVqeLaLC3I7ZTKZNWvQckNd9F6LyXTq3udDWpQcbkK5DLHZ4EOkXTKNaRdWPtpLqVIV596tzwdx+enLMZDP4JVDs2LSKdD4gPYzHr0d2IMPp7RLY7lqo/LReJ7iVT6cTdqNykdjdVs2nRI/30zFi/y+ShUTh2eDz3si1SObNhyvtVTKECktXaq34tBe3a/yEcrzkbDg2QnLG6QoH53o+Vho2JWP+D0f9DA/arjWJTCutItbtYtsYnPyfUTZ4VTs4FyUj2bmRTDhka9zPx19+3IZvOOMowAA33lsJ8ZndU3GvLtVtgP5unZWPijtolc+eh2qXeJQPkqaJmNZTV8LMdslY/8c6diaSYGpa0SYihfZ76FryUCpF63yUWn0fGQ1g/ZU1Pfvq9olYcGzEzrDKQcfHYCj5yPGtAvdBMeNDQAAXpuIN+3ilKNOpQzXizRKw6kudw34l0yZeCA53TDso+HdeE899fKDp/aIe4cGsBE02yVpOfM5D+WjIMy31rmgPh9En+uU6AiVD2qvrnwuWuWjvmb1KPd7FI3GrMnfteAgTK+PyTl9jw/Ca76L1WTMYbaLR5OxRs+Hv1LbOIeMRoFqOM13crXLQsNe7VIPPmJcNKnJ2PFjNXNuXJ4PN+UDcB8uZ/d8NHcuXNMuPhsEMfHgZLD04nWrF2Hd0n6xuOWloJ0g5aNZ1Sxq5jw8H+IBLr2fxYqZ1rHaJc7BcmpjPp3no+hsMO9tcrJtpWqKe3j1aK3TbZiKF0v50Acf/R7KR8Wh2sXvVFv189Z9VnJQUjWToyDoUId2dnSp7UJDXkR7PKpAooAaLx2/rK58HJmLPLqWc/n64EPfYt3u+Qie35WJqs/Hnok5/POD2zERIt/MOBPEbEoYhiGMp0AtLaEGLrSDDZszf2HfFD73g2dwaDp8WacT8mAxp2MjJUhWgfKZNAbz1gPTrdol0sFyGsOp7p7RfZZWr49wa5r8EFu1mIKP4GmXSVHp0mg2JbzSLqSiOjUZ8+7z4bO9uhKUJD31UlSUj5zH6IxWw8GHC+0qtaW0y3ypGsrA5YYssfY4GOQA9xbrsrt9vlRtypOha5YEBOtwevMD2/E3//kcvrslOa35Ox2/PT5U3n320eKzU/0eQPOD5f7loZfw9Z/uwB1P7A718zrk3h5qx0vA8nyo52NESis5djiNQ/nw6HCq7vR1BvNmW6zLa+GqkXrwESLtEkT50FVJVaqNAZnf2S60oaLgTVvtoqx1SUsdqqjrK6ddOgjLZJYSi4hu6FQUUH+BxX1ZLB2s5ZOjNp3SgmEYzg99wD3toi5UzZRMljSLKCAtpD4Gy+2uz9Y4EPFueCHjlZrTMTbUg0tOXAqg0ZAJWA+R2WK45lYTdX/AkaiDcmn37658KMFHvxx8ODXti1750AXtTrNdSpWq+LtO+QhrOKXNSSZlYPlQzSR/IETaxZrr4qZ8UJdT58+d1I20g+HUK3VLgfCivtq/7/RwNk1TfJ3EvKSZplUalQ8KPpIRNHHw4YLjbJeYokbTNIXy0Z/PYEV9XkbUvo95Kf+ry+W7pV3UgGSqidSLmpOUCdLn42A96OiE8jc3trwyjrf8/QPYLM1IaRfW+PhgwQcA/Jc3rUMuk8IFx402fI+Cj4pLwyg3aLcZtWdEVjscPR+aOTfy4DzHtEss7dUbzZXy30tSwO6mdDar5spq0NhQbbPUXLWLi+FUzHdxPlahBoWZ7VL/vBfVlTqn4EM+p8O9tSAlab1qVNQO0nkute0cCi1MuxQlL0ZfLoOjF8VTbutnR+tWVqwqH808BMqafgVAMMPpwelaWWfSc7Be3PHEbmw/MIN7frXX+8Ux4zSG3S9vWDeKX33mMvzpxcc1fE++7sJ8XnMxBR+ykXyuVEFVue5Ek7GAykc87dWd7xsn5YPeV8pB6ezJNafmyj6YscHaehXOcOrt+ej3We1iVz78NhmrBx/1oMLJ8yF/fjSvKOnrjap8iCZjHHwkn6Kt2iXePh9yFN2fS2PFcE35iCv4cMvl+zWcAs3dgG6ltn7NYqZpinRL0ioogrJt3zSAZLQeD2M4lXFqmQ/UPldL7g9+Lwnlo8kyb93vJdQg26nJGACMSOW27h1Oo/R8aAyn6cadvny/q0qnVWob7thsykc9Tbx/MniXU1/KB1VJaZuMOZXa+m0yRmkXvfIhf224np5Jwn3qRkOfj3QHz3ZZaJDByD7VNq7go3Yh92RTyKRTIu0SdZdTt6FyhDCcuigftHBNNfEQ0Ln2Acm573GjTBXKYmFIeg7WDdM08cK+KQDJkHMLIQ2nfvAqm3SDrr+oP+tZ1cuk/H6d58Mz7RKr8uHt+XCa60L0NW04lZSPetplrlQJ/LlSnw/XahdKu2g+95JTkzHf7dUtrx3gvOmSUxgDEYwI2HFwBs/tnQz9837Qez44+Eg0ssEob0u7xPPB0WJHcwxi83z42NHSAuvkb6GfJ0NsFGkXJ8OpX+XjoCTzNtt3pJ0cnC6KyqYk7KjCGk79YDUaC/4+6WeaCXqdUPv3qAqftctXlY9a8JGRmvPJxKF8lBzGx9f+rvd8OAWRVqltWMOp5Qvqy2VE2XHQ1EuwapcQ7dX9pl369GkX8SBPp8QaHfY+NU0T77nlYVz9Dw/HmrpprHbhUtuOQL4Ac5mUNe01ZuWDbrKjF8WbdnENPjTKR7lSFQvbkoHm855upba0q/PyfJDfA7D6pHQiL+yfEv+fhHHzOoNlFIgW6yGCxbg8H2raRT02XekxldrqlMR4OpzW7gn1vkk7NNVyUzp7stEpHwCwtK5+7As43ZaCj6FeH30+NEGn82A5v1Nt7WkXJ8VXVhFEIBTyPp0pVnBwuoi5UgV7JuKZ3wXIag23V+8oZGlKnmrbTCtiN2ixIyl0xSLLwBWlZOvnodKjiZBlJYSUj2Z2oJZrvwnlQyqvTboBzI0X6n4PIBlBVNg+H37op14fzaRdIq92UT0fyrwPqeOrDM1hcuppIr8+ynu4rFE+nEpLdV4VQOrzEbLJmKoGke8jaLmtVWrr3V7da7ZLWmpYSEpQ1USDgZioVk0p7VL3fDgaTq20m1DuQl6DZLAFEHmzPJkiBamcduks5AdvS9Iu9QuZbrKR/pxYuPZNuF+glaqJe361x1eZWzPKB+2iDMMy2kXR58PN8+GtfMhpl/Y/tMOybZ+kfCTgfcSbdgm3cyxJylvUhlM17aJe16LaRTkfJy4bxF9dcTI+f/Vpjr+XXh9lqS09PNT7hh68suHULc3abAWf6oMRFS8BG43Jg+V0WNeM//bqcgpGt4mR+68sdunzIVc+WsMRw503ecN2aKbo8srmUNfXOALhZuDgQ4Oc4zMMQ1pEYlI+6hdyX/0mMwxDpF68fB/3PbsPH/7m4/jcD571/Hf8GE51UrHYRWXSYpfSTIt1Px1OveYyyJ6PmZCNq5KArHwkKe0SptTWi7CeDzk1Mh3xYC/q80HXnZqG0Z0PwzDwx29ahzcdv9Tx94qukpWqdvcdFJFiUKfaOgTsrp6PJg2nchNGwFI+gvT6qFRNsWkY8qN8aNMujX0+5BSMbh2hINMwrP4dbtUuuUyqKeUOaKXywYbTjkT94GjRiS/tQsqHtUis8On7eHF/7cH16vis57/jx3Cqq+wRu+Fc2lMG9YNb2oU6nHopHwckz0fYxlXtxjRNbJM8H0kwnDZbautGWM+HbAI1zWjbW1PqgQyk6mcwLx60wc6H/NCP6toUO1plIKPVVKsx+HBTPsJeb2pqzmo05v+BKq8frh1Oe9yvGWuqbTDlg957bzZt9cFwMpxKG6W+Jj0fky1WPnL1c8Klth1CQap0ASwfRLlqNjXPRAfJifJ8iBU+G42RwYtaT7vhr8+Hs/IhVJNsWiqXjCftEsbzASQjZRGUA9MFW7vwUsVs++5k3sd1Ehav8eg61IdklGk2qvgYFcGHknYRD9pgS6bsEYlC7jZNUyorVZQPB5M23bOu1S5N9vmwlI/gaRcqs81nUtreMIDV56NYqTqeRyfPh6wM6cY00Ofcl8sgl66dDzflI5+1lI/wng8p+JiOL/goVpyVjyhTgM3AwYcGVfmQ0xRxtFhXPR+ApHxMuAcf5Jg+POt9IYvx2q59PpwNp3LXy0Ehg4ZPu+iaJQGWfGq6mMUAp+Cj9SmLZ16bxJfv2xa6U+SL9ZTLysW94mvtVj9EPj8W5SPccDlVdYyq3NY0TWE4XTJQ271rlY+A5yOTTolAOgrlQw7GddUusueD/k1H5aP+Oah+F7+ovWDCpF38+D0AK1UHON/jYrCcpHakUgbor7oNI33O/fm0a1qCAh678hFB2mUm/rRLVim1ZeUj4RQr9YuNWtNKUXkcw+XUahdA7vXhfjPLyodXmsKX4VQzWG5eTrv0RJF20bdXT6e9JVOgMfhoh+n07+99Hl++7wXc9+y+UD9PZtOTlg+Jc99u30crDKdBZ/FE2V1XplCuguwjowPuyoda7eKHHs39FAZ5B9/Y58PB8xFnqa2qfIRIu4jW6r16vwdQC+JIdXL63EsOfT4AedKv8xpC625v1j34kDejA8Kz1Lzh9GArlA+eattZqIuNYRiu016bRe3zAfjv9UHKh2nao2on/BgJdc1oZB9AJGmXqrN8XPuat1kMAA5OFW2vb0eXU8rbhpnoCQDb6p6dE5YNSA/mdisfMRpO6w9Cp26VbsGzuthHFWjKQc1oPykfSuAttRIPSl6jJIZB3rU2djhtfNC6pVmb7XCqKh9L62mXqfmy7zXSr/IBuJfbVhw8H/LfvdIu/fmMax8MueGk5VlqXvkYb0W1i5p24WqXZFNQ8mWAtXuI48Ojm8Ax7XJkTuvsL1Wqtt3/YY9R4746nGadL1J5IbMWgiaqXcr2m0NGDkj0u5ayOKbVI33142n9Q5v+TT+eGyeorfoJywallER7Fwi5silq+jQB1t/96Hmc+f/eK86HihoQRJV2oZRLNm2IHbj6YBHmyhDnI1rlQw4+NA9aucmYW58P0eE0mmqXoZ6M+H+/vo9JMVTOXfkA3IOPssYH41U1Nyu8dmlbZZK63sr+CavDaQSlti2odsmz8tFZyKW2BC08YZvyuEE3lJx2oQZGs8WK9sG2f6oA+T7x8n0EGSyn9jSh992TlUptm2oyZndjy8jKR0Wza6GgqzebxpJB6jvShuBjPnzwYZqmGCh3/LIBsbC12zgrZoK4eIPC0q/pk3Dn1t2YLpTx5K4Jx59TG39FdY5kI3WfZtKraDIWQgmKUvmQZ5iog+Ksjp6NTcbcPB9zpXAl6qryYRiGlHrx5/vw01qdcJsJVNakXbwm29I12J/L2Daaqi9CHjLaV0+7hN3oyMHH4dlSLAUMgHWtqMoHBx8JR+5oR4jJtjEoH06G055sWrQx1/X62Ku0553wUD589fnwUD7ktEtTTcZc0i6plAFaW3ULBwUfSwZzkgO99YrBTBPKx4HpAibmSkgZwLFLB8TC1vbgQzPLJAr6HPp8jM8Usetw7RrXvfe40y59uYzUQEo1nIbv+JqPsMqAAna38nT5fpF9Wir0XipV01ae6xfLhGtdI8sGrc7MfhCeDx9pF7f5Ltq0i0NAJjMrbfrkjab6gC5Im1FZ+QgTtKmp8XEfhQJhUA2n3F69Q1CrXQB9/4soUJuMEV7TbdXgw0v58NXnQ6N8yD9LQZKu9M0PbmkXwLvL6YG632PJQL6pSanNUK2awrsQJvig5mJrRvtt6awoe1iEwa1Es1mcpoI+teuI+H/dZ6iqEZEFH9IDmpQP+fxXq1bpc08Iw2k+wnXDtSuw8Dc0znZxK7UFwvk+nEy4QvnwOd8liPIx6NJorKzZyGQ80y607voMPjIpETyH7Ss0qRx/XOW2jYZTfSlxO+DgQ4Nb8BFPtUtjkzEAWDHsbjrdq9zkR7yUj2Y8H5JqIis0YVMvtCBkU427OMA7X0vKx2h/PnTviGaZLVVE2itM8EGVLseNDQAIX4YaNXH2+ehz6BD5lJRq0X2GcQUfcqOpPod8vizBhyk9jnK4nDVATW/S9ms4zWVS4mfCBEZOJtyxgMqHNdfFv/Lh7vnwnvQrMytNE0+lDOGj0aVdZM9H7eeDnzfVqxSX6VSktevN6ITywaW2yUY1UwFy2iX6D2/WockYIJfb6tIu9q8f8ev5cOvzQdUuGuWjJ5tGOmWIACZs6qXo0ucD8O5ySsHH0sGctTC1+KEtB17hgg+r0gWw/BDtSB/JNJNm8MLJsOcn+FCHv0U130UOqp2UD/nBHEb5iFIxpYeg+pCtfa2edrF5PvR9PuSvh3mIOikfSweDldtOhvB8OK03Os+Hl3o6o6ShRRfQsj74SKcM17JfLyjtQr9DbRcQFZZvsfG9JWEMBQcfGpyUj2YHMbkx7eD5AKzGUzs1rdP31l3l5HnwqnYRTcZ8KB/a9ur1n6VeH1MhK1680i5eXU6F50NKu7Ra+ZCrfcKlXaxKF8DyQ7RT+ahIaYZ4B8tZ81nsaRfn+4uCBLono0679OXSjnNn6AGeSRliJx2ElikfLlNtdZ9jj8Zg6wfhi7MpH8GCD1IB/Hg+3OZJVTTnxSkVJTMnGU4BvSlT3Yw2U/FC7/mY0X4A8aVd1Db8sjcnCY3GOPjQINd1E3F5PipVUyxwfYoisXZJ7QLdcXDG8WdJ+Thxee3hdcTjAVjwVe2iaa8ucuO17w82aTpVmxSpeO1aDkqeD9H4p8WKgfygDBp81CpdasHH8WO1z6/ZMr4okNNtcQ6WM83aNbV3Yt72sNJ1d6Wv0wMuslJbqdqlN9t4/p1U0CBEOU3UrTEf3S8lh1JbumdVrBbrIdIupcbzMjZELdb9ej4o7eJD+cg59xaSW86rykfas8lYXXGuX5M6U6a6GQ27STBNa5CeCD5i6HJalUzEpHi4eVraAQcfGpyrXeIJPuQLuF9RPuTgw6nNOHk+TjpqCID/tIufwXIFRZ5TfQD9Tfb6OFzPddIwLxWndtEysvLRl2uP4VSW/ovlaqBr48BUAZPzZaQMYN3S2ufcbAOjKJB3wXH0+ejNpkUl00yhgicl1QPQf4YUECyNuKxarggRykehUfkIm4Ky1o3oql2clY/a1+SRBFaA4J52CbOmFRxScxQY+m24R7Nd/Hk+nCvB5GVRTUdlHXqfyFizXTyCD8W8GbYkfrZYEZupY+prexyeDzkAFaW2HHx0BupQHiDaRUSGduvplNGwu1q5uBeZlIFCudpgLjVNE/smajf5yfXgw63apVSpih2An/bqgP0mVJ3zlCIKswOtVE2h0izucw4+nAZlyVjBR84ynLba86EEXkHUD/J7HFOvdAHkcfPtUz7mpV1eSmMGbgbDMCSFp4yn636PxX21B5CX4XRpff5KdIZT6wFEuf9ZqfdFs+bbKJUPYax0GcYIWA8fr9L6ZtIujspHPfg4NFPUbhpkAlW7aEY6yIGFrtTWy3BKQb+uIkRVwi3TdLDzRu83nTJESj2OFuvy8VPQkUoZ4v+TUG7LwYcGxyZjGi9Es9DN1J9LNzYOSqewerTWvVNNvYzPFEWQdEK9WsKt2kWWVns0MiygHwOu83yESbscmS2KKpFFfc67Hm/PRz3tMpiPpN17GNTAK1jwUU+51M2mANqm4MhY3U3jWx5o8a41FTsCAPiNY0cB6K8nuv6onDPq4KM3mxFBkWlamwx1wnVQ4lA+nBrzyamYilA+3L07fVkr2AqKk/KxuC8nHvh+jJR0/wz3hq92sc27aSi1dd/AzKqeD83YeTXtIsYgBNzsyGkm6uEUR5dTOdiSVbIkNRrj4EODc7VLc7MQdNAFrJpNibX13OBLSvBBM12WDOSFFO0WfND0ypTROBFTJiNNgyxI73VOWciaabFOCs1QT8al2kXv+ZgvVcQiVDOctqc5l7oQepU6y7yw3+73AOBoeGw1fhrRNYtcufD07pry8RvrasGHV9qFyjmjCj7mJV+E/JCmz0Ds8BOgfJT8Kh8Vs2YcrnhUuzQx2dZJ+UilDLEWeaVeSpWqWEuDVbuoyoe1PjRUu6TdU7eklPYqaRddnw9SRnRder2Qq3tGByyVKGro+NMpw3ZOxPtjw2lyKZQd0i6a5lvNIlqr64KPem7wZSX4oGm2y4fzInUxXShro1pZuVAVFpnaEL3GltCFkv2hNODS9MeL8ZnaQ5puQCeE8uEgmdLClkunMNSTaVufD/XfC5N2kZUPK5fcfsNpHGW2BCkfz+2dxJHZEnLpFF63ZjEAfepsTvF8RFVqK0vvKamEnIKdZofs6QY1hsHNcJqVdv01E7tsHHb3fATdUJmm6eiLAywVw+tekFVD3cZLZlCjfMibE9XzkfYwrYtql7x78KEznAYdACmUj3wWo3Wv23gMaZdSpVG5l/8eRbfdZuHgQ4NTtQs5xgtRKx8FugE0wcdS54oX8oAsH+rFUG9WmPh0N/1cyf+Otseh0ZjasGigJ3yqg0xWizUpF8B94ZD9HoZhtM2oORUy+JArXajMFnBuPd5qvKT6KKBr/efbDwEATl4xhEX1AFpXsTRbsle7zJUqkczFmFW8TGqvj+bTLtGla0VjPgflwzaSQFIVAP2xh1Vz5UBKDcqG6sHH5Jz7NUwP4r5c2lcJs1b5qF8DKQMNHiUx20Xj+aAgv194PkgZsJ+Pgs5wGlD5kD0uNEF5quB/CrDKfc/sw59/98mG9YI+HzVIpXJb9f21Aw4+NFjKR2O1S9RplxnRZc95sae0S0PwMWEpH+mUIWrldRUvFOXrnO8yTsPl5AFcQDRpF12lC+A8pZOQ/R7yscyEnLcQFnX37Tf42H5gBlPzZeTSKVHpAiRD+RDXSZzBR/1af+SlWvBxxtHDGMhZLfud1Ls5Je0CRDP9lxZ+CjrUMsroDKcRKB9l98Z8Wam01DKI643DtKEKajiV34u6ntA6pM4wUQnS4wPQG9x1rdVrX9P7xqpVs2FD5qfJGNCM8kHBRxZDvRlxfGErXr76kxfwf7bswk9fOGj7utXd1P7ZsOG0A3Bsry4eyDEZTj2Uj53js7bcJQUfR9VbsJOKoGs0FmRSqVOLdXU8t9uIay8s5UMffKRdzGJymS1gyaZh5y2ERX3vfoOPnzy3DwDwhnUjtsU7CZ4P0TY7TsNp/dqha/WMlcPivQPOChYpEUO9GddGY4emC/jSpm34P1t2+eo3oZZb9tV7fdADWXR7DVl2LKbaRjHbparvcArYU5V+5jiRYhhc+bD8Y+rueqiuiE56BB+TAXp8ANZ6UyhXbeugbqic/DWnDYz8nr2ajBXL9gZ3/ZoBhF5Yg/QyMAwDo8J0Gi74oJ9T1x2dMTlJw+X8feoLEEfDaa5RDYgCkXbRBAXLBnvQm01jrlTBrsNzwgNCaZdl9cY+i/pywKFZrfLhZzEinPwt6oTMZipMKPgYGXBRPlx2LQenrLQLANu8helCOVa/ggwpH0sGcjg4XRR9C7z48bP7AQBvOWnM9vW+kHJulLTCcDqgjBE4c9UiZNIp5DMpFMpVTBfKWCypYqZp2jxLg/kMDpWLjr6Pf/v5K/jqj18Qfz9p+SAuOmEprjxzBU47erjh9Wo6UZ0sXBCG0+bSLtEoH+5dgTNpAyjVHrZ++pOEnVdltVZv9I/5TbvQ9/0GH/LmbKZQFmk6etCqZlPAUkOcSm0pcDAM6zPSPZzV1Fuzpbb0nkf789g3WcDBkI3GSEFWg3CnzTMgpZUSEHyw8qHBWfmoS5QtVj5SKUM0pNlxcFp83VI+KPigtIuH58PHg1lVPkqVqriBG9IuHjscJ0SDMVflQ284VZWPVMpwHFgWN/TZHV2fweNH+ZiYLeGxVw4DAN5y8jLb9yiIKiq7u1bS7E7fD32SytGXS+PYpTXTra5fS63hXe3/e3NpyW/U+FnTEMbFfTUf1HN7p/BPD76Eq//xZ5hwuDfmVOWDel+U7J6P0MqHZlZSGER7dY3yIQfsfu73sIZTy5Tc+Ajxq3wIFcBHmS1QW4vp4SmnXoTy4Rh8kG+s8dzPSn4PCqB0KbLoS21r75mUjzCm0/lSRah2ahBe1DSj41LbDsC9yVg8pba64AMA1i6p9fp46YDl+6Dgg5QPSmHoGo2JHLAfw6myYDo553VNf/wwXj/GxS6eD7fuhMLzIVXLuA2eigsRfCz2H3xsfuEAKlUTJywbwKqRPtv3ZLWhXcPlCiX9gyUqZKXqtBXDItBUVQdCbrrWl8tIrbYd0i71wPYTv3kSHvvUW/GV3z0LA/kMShUTr000DmhsSLsovptmq12sgZTNf566hwqRkQyWbhNtid5suA3VvKR8qFjKhz/Ph5/upgStOXJwKjwfLvNunJSPWQeFT5t2qdiVj7BrTaPyUU+7hFA+5E2manzXKR+5CCuvmoWDDw1OExvpIo36g5tWHNdOiHLbQzP1nymLC265qnx4Vbv4WETzyoJJi41hNH8DAlLaJaTn4wApH4NS8NGGcfRhlI+fPFvze7z5pGUN38tlUsIU1q7hcq3s8wHU/B7i6xrDLQXoNFVUKB8OaRdq2jQ6kMfoQB7vPOtocY84BeYNaRdR7VJPuzgMUAtCpMqHS58PQFY+qr4+x7B9PtyVj3rw4VEKHaS7KdHvUN4vzomT8uHSJXnWwehPE2C1TcbSadvPBFU+JpWAS/T6CKF8yCZV1YRb0kwM7+i0y4MPPogrr7wSK1asgGEYuPPOO23fn56exoYNG7By5Ur09vbi5JNPxs033xzV8bYMNdIFLDUgTCtiNyzlQ79IrF1Sk6Wp4oVUj8G81eNiUW/tQR6F50PIj4ryIfcIsdznwdMuwnDqVu3i4vk4NG33fAD6DohxQovginrw4TVbp1yp4oFtBwAAbzl5zPE17S63tQb+xRl8WL/7dCn40PVrUVMjgy59XUgVG5WujUXUe8I17ZKx/behz0eTg+WiUD7cOpwCssHSdA0QiN6QgwzdlY962sUjEA9qOAWkNacgKx9ung/9VNsZ5XMHAvT5CF1qa3/PdI2GabEurzV+PR/W++vAUtuZmRmceeaZ+NrXvub4/Y9//OO455578M1vfhPPPvssPv7xj+P666/HXXfd1fTBthI10gWilU9lZjw8H4CVdtlRT7tQg7Flw1bZ4eL+erXLjEb5KHrLsIRw6NfPg1P+2JJAg5e3kudj1CX4cO/zUfv5pY5pl9Y9tGkRXLm49vlMeJjsnth5BEdmS1jUl8XZqxY5vqbd5bZzRf9VUWGRF/wzVy4S/68LIEVqRBlqqMrNgBXYLum3ro1FIiVpvzdM05SajDn3+Wi2w6kY1BhJe3Uv5UNKuxS9NxvNej6cTLiDotTWX58Pv6W2gHNjQ1ofHIftkeHUYQ2ZUz53wDn4qFRNsQGyVN9mS21r74Ou0fEQaZdxOfiY11W7KMqHpn18Owhc7XL55Zfj8ssv137/5z//Oa699lpcfPHFAID/+l//K/7pn/4Jjz32GN75zneGPtBWY0mt8Xs+ZjyajAGW8vHaxDzmSxXRWv0oKfigzoJH5jTKR4DOlWK3Vn+vToELHW+tm2LV98NqvlQRO4YwykexXBXpDdnz0eoup8Wy1Y+C0i6TcyWYpqntIEtVLhefsFT7AOkPOa47KqxS2/j7fAz1ZLBm1PK9aJUPtbuuJu0yWyyL18rKh1WGbr83ipWqmIoqhvvp0i5NKh/RtFf38HzIaRdfno9wa5qopHFSPkTaxW+fD/+PISefGQVkjspHWr+BoXVX7iztlJawDWlTlI+gKutUwW44HRGej+DKx2GXtAsds67JWFd2OF2/fj3uvvtu7N69G6Zp4v7778e2bdtw2WWXRf1PxYrzYDmr/DTKRlZeTcaA2uJJwcXLh2Ys5WNIUj76KO2iUz4C9PnIOCsfsoTbJ41GnwrQaIweALXGaPqFRygfSpRO5qxMyrANpGr1cDn5AUnBR7FSdS3Fpv4ebz650e9BCNm/TcpHswZLP5x81BBymRQuPXW5LVCzAi/7e1f9C4OaqhjKnfdkU7YdrVUJZl/k52xG1nT939CkXZpUPqIo0S+7tFcH7BVivqpdqMlYhMqH37RLGMOpU3Dqp9rFqXLM2fPRqAw4BR/y9OkgzwI14Gqmz4es4jWkXRwKJgD94Lx2EHmfj69+9av4L//lv2DlypXIZDJIpVL4+te/jvXr1zu+vlAooFCwJKfJycmoDykUjqW20o1WKFcj6yXhJ+1iGLVy2yd3HsGOAzPYU3fty8qHZ/ARpM+H0hLaqTV7KmVgIJfBVKFc20UMev5aAPYGY24zZnTKx8EpK6cvd24cCCmFhoVu+J5sCkO9GaRTBipVExNzJccAb+f4LLbtm0Y6ZeCi45dqf2/blY8AbfjDcsySfjzx6bfZAgRAv6O00i6174u0i7LjoxLs0f687dpapLk36LrOpAyhJqiN3vz0y3BD9ny4qWJ+KGqMhERWMljG2efD1fNRDyZmirX29zqFL5Tno6fxcyfPh2OTMZfU7YxLtYusUhXqrcgNw/p9dP2V68P7/PijTNMUx03vg5Tbg9OFwNeGm+HUUj4WUKntV7/6VTzyyCO4++67sWXLFvz93/89/vRP/xT33Xef4+s3btyI4eFh8WfVqlVRH1JgqtI0SKeptkC0qRd1voCOddTr49AM9k7UFllZ+VikkZaJYIZTu/Ixr8kfO7nPvSBPipvfA9BXu6g9Pgjx4GrRQ1ssJPksDMPwHKj143qVy7lrFmPYZaaNanhsNW6SepT05zMNiy3tbNUAkgKBhqGGBWflY4nSvG6xxvPhVG6pDpZzajgYBLpHTLP5HkGkfDg9aAFL+ShVqr6CSNHhNHCTMTfPh7WOufk+hArgs88H4OwJKou0i1Oprb7JGH2+8rrrlHahFEUunRLXa5+0DvpVKOdKFbGWqX0+CuVq4PtdVvFU039Jo3xEOeSwWSINPubm5vCXf/mX+NKXvoQrr7wSZ5xxBjZs2ID3vve9+Lu/+zvHn7npppswMTEh/uzcuTPKQwqFLEnJH142nRKRb5SNxmZ8VLsAVrntjgMz2DvZqHxQ8FEoVx0Xk0B9PpQmYzq/iNiJBEi7WD0+3BcdnfJxQBN8tNpwSgsgLbaewcdz9a6mmioXQpQMt3hIHiHSDDEqHzp0qTO63/oUz4d6jiglp05L9kq7yAqMaCAl+nw0p3z05dIiKPDq+umFzkhIZCWPgx+DeXjDqT5AzaRT4hp2832olR9+GHTY7JTd0i7ifDg1GasbTvNOyoeUdnHYiFI3XsC/QknBVsqw7vG+XEZ8BkFTL+NK2kVO/2in2iaovXqkwUepVEKpVEJKiUDT6TSqDh8+AOTzeQwNDdn+tBtd8AFEm78FalKcn7QLIAUfB52Vj4G8NajIyXQaqMOp0l5d+EXU4CNErw/R3dRD+RBlgxV/yseAaFDVWs8HnYMhl+BjulDGL14aB+Dc30OmL8Q5jRLh74lxtouOAY8mYw3KR0PaxbmKStcDx+meoH+DpuiKapeQ58MwDN9dP70ouTxoAUn5CNjhtFw1A3XUFWkXjS+IdvZuwZba88IPToqXH8+HU5fkGSWVBzinJawUvLPq61exoGBrQFH8aB0M2mJdDqSriqrmXWrb/uAjsOdjenoaL774ovj7jh07sHXrVoyMjGD16tW46KKLcOONN6K3txdr1qzB5s2b8W//9m/40pe+FOmBx4nsBFYjx55sCtOF6NIu8yXLbe83+Hhh/7R4wC2XlA/DMLCoL4uD00UcnimJgXOEk2lUh9pmWOecDzPZ9pCPoXKAvjUyeT6WDNp/vtV9PqaU4MNN+fjpCwdRrFSxZrQPx0pTbJ0I28AoKprd6TdDv8ZIqioUTv0eAGv3qM4MsvxQ9qDcCmqse69fMfzSQt3M+RjqzeLwbMn37B8dXrNdLM9H1ZdxuCdnfW+uVNF6SVQKHhVRQ70Z7J3U9wCaL1XEeQ3m+aiX8Tr0+XD2fHiX2sqKs5vhVA0++3JpjM/4Vyh1wdaSgRx2H5kLrnwoFTJT82WRRtN5g6KsvGqWwMHHY489hksuuUT8/YYbbgAAXHvttfjGN76Bb3/727jpppvwvve9D+Pj41izZg0+//nP48Mf/nB0Rx0zslNYzUn3hJQpdciLbJ/H4kbzXejhlkunGjqELuqrDThzanZVCGQ4pd4Edse/TvkI5vnwp3ykpfHgMqR8LG1QPsLNWwgLved+P8HHi7XGYpecOOZpKtM9gFtFKwynOnQBpLqL90q7yD0+ALsZWzb2OfV60PX5aKb6Z8hn7wsvrNkuzsdieT78TbXNpVNIGbWd83yx4rvnhpfy4VVuS+fBMBqHDLrhVO3i7vnQp138NhnTVY4E7cej6+hqdTkNqnzYz+3UfBnL6omDrlQ+Lr74YtfSouXLl+PWW29t6qBaxZHZIr7x8Mv4rdettM3YEJGuwy4g6l4fdBP15dK2yg0nBvIZjA3msb8+0XVsKN/wM4tdWqwHS7uQQ5/SLs4PJGvAl//zQZ4Pv2mXwIbTFqUrpgv2nPVwvcRwwiHwe+XQLADg1BXeaUV1591qrI6erQ8+dH0+LMNpxvY6neF0dMA57VKumpgulMXu0+meEAMKqdpF7HybUT4iSrtQqW1GN1jOMmk7VaipGIaB3mwaM8VKIMOjt/LhnnaRUxBe657MoEN/F9FkLOBUW7W5HOD8cHYatQFIc4h8ez6cm6qNhuj1UaxPfgZq53C6UFZ6n2iqXRJUarugZ7t897Fd+PJ9L+DmzdttX3erYe+JuEmLaHTjM/on9QOwm02J4V79cLm5AEZCqxmNvdQ2irSLf+VDU2qrNZy21qhJQY7a3t5J+dh1uGYQpk6obgRd1KLGUj5avzzoRpWrw9/0ng9nw2lPNi3uXXnH6FTtIleAmKYZyaA9oQQ0m3ahaheN8iG3E/fb0ZgCuiBqrrfy4R5sTYp+F/79HoCm2qUarsmYek0BUrWLnHapl9qqKkJQpdVb+fAffJCynTKAFYtqzwH5XtClioThtBubjHUS+6dqjbr21xt2EU4NxoiwHQF10ANmwKPShVgnBR+y2ZQQyofjDAtn06gTtKOZVzwfUaRdxgN7PtTgw9nz0eoOp9NKzb4u7VKtmth9hIIPuw/Hif42l9rOCYNlG5UPL89HD+W2q7b89SGXtv1OU5+dWpBT8Ec9HOYj8HwMiodxs9Uu7n0+5Nkufr07YRqNeZUfe022DVPpAjjPk/LT58OxyZhDZ2kapyE/nHXPA12grEP3nsNMtiX1eFFfTkrpWeekpGlGR/c0Kx9thh7Qau2/Ll8GxOD58FnpQqz1UD50JYVAwD4fivIh+nwou+FQaZfAyod1o5QrVfHw0JXatspwSmqPl+H04HQBxXIVKcNuENbR18ZSW9P0/9CKA1259KwSJMi9GWjxr1ZNa66Lcm0A0vgB6X53KrWVvVeTc2UR/IatdgGiUz68OpzK1R1+73exoQoQ7HpdI17B1lRI5UNur07pf2uqrb7Ph3O1i713DCClXaSHc0HzPLA2CUGVDyXtEqLLqbWBy0rtDqzjKGjSLh091babOCyCD/uHXnDJ8aolqM3it8EYcYyH8uE2QMtPDpigRYUuUurzoW0y5jPtYpqmON+eng8H5WN8pgjTrMmNqnJiyaDBB92FYdpnqe2uuuqxfKjHVzVB0BK+KJHr/9tpOC1VTJuioU6eTacMETCQAjUxVxLXitO15aR8zDrcE5l0Sjxo5Nc2W+0CNO/58OpwKh62Pktt5e9Hqnx4BFvNKh9V01qD/ZTaOqVd5nw2GdNtRvsClvZ7pl0CeD4ogB7pz4lgRlafSx6G0yRUuyzo4GOi3gtDTVG4KR+0SEWddvFqMEassykfjRK+rqSwVDHFDejHSKgbLKdO9rRGm/s7H9OFspCOvdIuaQezGJltR/rzDTleedBdK5roWB1O3ZWPIH4PwNqFt0rBkZGv63b0+ZDnbMjXlNpkDJDLbWvnm2TroZ6M471LTe2clA/1AU3/jlzO2JzyQfNOmqx28ehwavN8+PTuUFAVzHDqrnx4BVt0HoIGH325xnlSpboy6uj5EH1PnKpdfBpONf6JoMqH1U5eYzgNUO1C1+WivpyUipI8H6x8JBtahI7MFlGVImO3KZa0IEeddunzmXZZPdonbr7lw43S8iKN50M+3h4fRkLdYDmd8uE02twJaq3em0177qyzDmaxA1TpM9j43mW5vBUPbtFkrMHzYf+3d9eDj6N9+D2A9ioftJvMpg3tTI44yaRTwtgpp15ogZcfdla5be08CS+QQ8oFcDZjO6VdAOvBQuZop7L7IESlfHhOtbV5Pvx5d+i9B1I+PBqvWaW27tUuQRqMAbXqHCrNpZ1+hdIuTp4PjeFUnn1j83xIaRdST3VNxoJW1+mVj9p1OT5jfw65QZvLkb6clIpq9HzoDKccfLQZKketmvZFgSQpN89HIaLggx4wfmvd85k0Ljx+KcYG8zhh2WDD93XzXeh4U4a+NbOM1V6dgg/3DqfTPhdV2p16pVwA52qXA1KZsUpKkuJb4ZcQ7dVJ+eizpGY57bPrcK3M1o/ZFGiv58Pqbtr6lAsh+idIO0qnIEGttNKV2RJOZmxLHbDffxQYk7GvWRUoCs+HaVqeFp1iYJWWWtOVvYL8MGqut/JBSo9HtUtv4G4Pks+s9jus9uoOng9Nqa0caDkpH4ClHhQ1rcrVAYRe6FJNtBaWq6bv4HS8volb1J91LDv3HCyXAMNp8E++SzBNExPSInR4tiT8Er7SLhFFjtNC+fC/2H/jD89DqWI6S8se0zt7s2lfOzjL26IaTpW0S0+wtMthn3NdAOcOp1Sh5KR8ALVdzGyx0hLlQ1ftUqwv/HSuqNLl6EX+gg9aTArlqutU0DgQu+U2mE2J/nwGh2aKduXDLe1S/xzGZ6yJtk44pSRVI6s4Bgo+6gFNs+ZbUj6aaTJ2cLqIyfkyDAM4ZtS5Sy7dM/K58/J8hJls69Vy3qupms586Qe1wq7slnbRNBmjuS4pw/4e5ACjWK5Nq9U9D/oDppx1Jtt8Jo3Bngym5ss4NFMUzyE3ZOWDjsuedjEb3g/9WwCX2raV2WLFFv3JSoHTICFCpF0iksRnFdOiHwzDcAw8APsMC3n3HcRsCljvvVw1bfljdREOWmFCEfuI5gEhIzqcOng+lmqCjzCzZsIypVQq9UsDxGTfR3DPh3UtzEaksPmlnT0+CKfhck79ONTP+qCH8mGpgrLy0Zj3l/8dUj50/Sz8EkWTse0HpgEAqxb3aYOhdP1hK6dBPUttQxlOfXo+tMpHOMMpgIbqDtfBcg5rCGB1N+3P2eesqMGH/F+n9upA830+ACtV6LfiRQzn1Hg+dG34heE0AcrHgg0+1A6g8m5IjFB2qnaJuM/HdMAmY17Q7q5SNW0LkN+GQ4T8ukK56t3no1D2la8UDcZcRsoTTk71/ZPk+XAuWe1vUYMueSAgpV0Mw7DKOetmZtM0RdrFr+cjl0kJv0tcXU4rVRNff+glPPD8ftvXk5B2UYfLVaqmeADI90lD2kUz0ZagHaV87+vuC9Xz0ez5GJIGrYWtxKLgw202ELVdJ1Ugl045KgIyvTEoH4NSgOBUaRLW8wE09vOxPB/69uqq4XTWocwWqKVu6d6jAEtX2WOlB4P2+Wh8z0FNpxRAL+7P2cqPCV2qSHQ4LVdbUhHoxsINPhRPBBkhAf0HB0g18RGlXazJqNEs9nInRzmtRDlWPz0+APuNVihXtfM+5Cjezy5dDJUL6fnwSrv05ewLU1zMlSpiIOCAdA6E6bR+7sdniiL3Tp0I/dDn4HuIkq/95EV87ofP4s+/+6Tt64U29vggVDVNl58Xuf/6tX1IM9GWWOzQA8epyyUgKx+1zzGqtEutKVq4tWP7/hkAwLFLB7SvoXuGdsF+urKGMpx6tJyX1wWnBoTCHOxjHdD97kbPh0upraJ80Ofu1F9JfkDL/9WV2s76WGtM03RVPqzJtv6Uj8NSnw/HUlsxj0ZpMiZdD+32fSzY4GNC8UTY0i50Yzm2Vw++S3DDKveKzn6zyMHV//PthwAAp/iYLQLUdgB0ExbKFe1wrXzG2ln56XJqKR/ei46TU32/i+EUaF2XU3qvKcMe0KnltpRyGRvMB+oYKibbxqB8PPziQXz5x9sA1B4CcmfEIPN/4kJtNEa7VEPJzw8o6Rkvw6nogSMt8E4lvIC1qyUfSTNltrXflwY9G8OaToXyMaYPPmjXTg9mXz19csHWtFojOveW8/mMtQlySjXtq3eVXuaj6Z4KfTZTfjwfmqm28kythmOnHkdehtMAnYjnS1URJDkFH0GHy1neuZxj11et4dQhrdQuFmzwoTbhkh/UotrFcbBctE1agnY49YNTbvv+52ry+ptPGvP9e2jBnZF6c6gPJcMwAs13EUPlNA8IGbXDqWmaUqmtLu0SvONqGKYkr46cM1aDjyBt1WWo9Dpq5WP/1Dw+8u2tkBVXOkZANpy20fOhTJWVe3HI51ptcHfQw3BK98XkvJUK0KVd6KFNimizyodhGGKHGtb3YaVd3JSPetql4F/pDOr5KFdNofq5BdS6ybazxbIIHJwaJXqhVruIwXIOpbZO5fq1Y3AOOoFG5UPb4TTvvx8PBQaG4dxQcolUbutFqVIV52+kL+fY4dRSPjj4SByUkyfkB7XOYAREP9VWlNrGEHyQvLzr8Cye3zeFlAFcdMJS378n7zCIy2kRVnegbgRSPqRW0UDtoUELgd5w2poy1WmlwRjRqHxQma0/synRH0O5baVq4mPf3oqD0wWcuGwQx9d30LvG5eDD//yfuFDTLroHhSq/HxJ9PjTKR6+Va6fPR9vnI29vMtbMUDmCTKdqHxg/zBUrIkh09Xyk1bSL/+DD75omp43cglTdZNt9dd9Wfy4dat0bVKpdaGOUdii1pQ2MOtvFuqYc0i6iC6hX8OG/ydiktF44TfGlzcmjO8Y9vRi0UTaM2jl2ajlf0CgfdkWbg4+2oJai2gynLsFHGGe4G2FKbb1Qy21J9Th3zYivMi6CdjX0e1TZmwgyXG48kOfDqrgBgAN1v8dgT0a7qDr1iIgD0Vq9xzn4IGk9aIMxoi+gmc0P/+MnL+Dh7YfQl0vjH973OrGDpgAJ0E8vbiVq6syp0kV+3XShgmK5KgIKneE0k06JhZoWcCvtYv8c+5RJr1EM2dMpAX7YcXAGplnbWLj1yLE8H/4Vm15FafJCDlLc0lG6ybbNpFwAubmcXflw8nzQw1etdpl16SytNuIqavwtdI2UKqanikCfh26WzWWnLkcuk8Jze6fw1K4J199F6/Gi3izSKQOD+drvNE1rvSi5+BaT0mhswQYftFAtr8t+NsOpS58PivSjmu0Sj/Jh93z8uB58XBIg5QJY75V+j65HyIBDhz0d4z7nugCNng+r0kVfpqsbTBY16lwXQuf5CJp26Q9gZvPDw9sP4is/fgEA8PmrT8NxYwPimOgYAXjm8ltBg+GUdqnZjPPr5kviGk0ZdoVDRe4AXCxbeXhde3UiijRUM43G5JSLW5+ejLKrjSPtIm/O3I5lUPN+RfChSZ16MVB/2DaU2jqkXdIOFXOAVZ7dm3VQPijtUrEHHw2GU+ka8VI/3MymQG3Nvvy05QCAb/9yp+vvUqeC92QbfXduz7CkNBpbsMEHyf80JdbJcOrW4TS6Ulu98Sks8gI7Wyzj4brZ9C0nBww+6pE+PUh1C5nftEu5Yu1OfQUfSrXLfg+/ByCV2sbs+bAajNkfdDrPh98GY4QIoiJSPr7+0A6YJvCec1bi6rNXAoBj8FFIoOFU16NmUApSDk5bM3+cZG1CbjQmGyzV363ej1EoQZR2CdNozE+ZLdC4+/djOO0NaDj1KrMlrJbyatqlHnxoTONeCK8FGU5p3o1LkzG11HYuhPKhPg+y0gBCr/vUK/gAgN89bzUA4O6tu103T0dm7epxzU9kbQArkifHUfmgALXNjcYWbPBBtf7HOAQfbmVkQfOjbpQqVXFhR6l8yCWFD794CMVyFSsX94ocv196FM+HbgH222J9Yq4kjI5uu1PC2rXUzpEos3VZtII2PQuL2lqdkIOPWo+PYA3GCJJ0o1I+qMT5slOXi6/RMe06krS0iz2AnHUYAAbYZ7t4+T0Ieeozvde01NuBUNMwzVa7AM2lXbYf8C6zBRofwH4UrMCeD5/l2NYwPVX5qAWKYcymgL7U1snzQX1PTBO2PkQzPjwfIvhwSWFYVWleyod3X5Pz141g7ZJ+zBQr+MFTr2lfR40aF0u9kuRGY3I6RW0yBlgqXrHS3sm2Czb4oFLbtUtqC/Dh2VKDWcdd+Wg+apTLKCMttZUW2J88b1W5BB2MRQsumXN1C9mAz106BXjDvVlfLcMzDZ4P77RLy0ptNWmXIdFkrITJubJ4XWDlgwynUZV0O1RVrRxxSru0v8+H2uNEZwqVSwytBmPuwYccmIugxiGdGI/y4WzAJD73g2dw3W2PN5gjAWD7fu9KF6Ax9eDnuHsCpl3mqemWR2CjG6a3VygfzaVd1GoXx7SL9DVZ/dAFtIC17lFFo67JWO3n/a19YrPionwYhoH3nrcKgHvq5fCsPe0CKMGHdP24Kh/s+WgP9EClGQlFqYunW6TbIzwfzT8UaHHNSfJdFJCqcGS2GKrElqBFiZQPnYQrSr085GTanfpJuQCN+Vqv1uqAZDiNOfig96qWSMvKx866kXPJQM53W3uiL4CT3g/TDrIvBURHZktiZ5YM5cPZcKoek9xd9+AUNRhzl/Kte6OkNbICjZuBKDq+uikfxXIVX//pDvzwqT147OXDtu9VqyZeOujd4wNoHK7my/MR0HBKyoeXCVc332V/08GHfb0puaRdstL5kH0fbqW26th5t+rHfp/VdZM+0i4A8FuvW4lMysATrx7B83unHF9z2MG0T+d6ulC2Ba9O5cdqNU+7WLjBR/2BumJRrwgyqNy24NLrgG7mctV03KHoME0T//GLV/DjZ/eJr83EUOkCWBfls3umsGdiHr3ZNM5fNxr49wjlY9af58NLTrYidn8tldVSW6/W6kD0XgkdMz6qXcL6PQC51DY+5WOwJyv8QXSsSTKc0nvXNQKjc181reP3Uj5kM7aua6/TvxWJ4dRl0ispNwDwwDZ7y/vXJuYwX6oimzawysO43OD5iKHUlpQPr2tE936ttEs4z8egptrFqcmY/DV5si1dW44dThVDppsH0K/B3W87+aWDebz15GUAgG89+qrja0RrdVn5kLr9iuNNOxuC1eCqXSzI4MM0TfFAXdyfs5py1SNKd+XDupmDqB/f3bILn7rjV/jQv2/Bi3UJVR5uFCX0cKf38cbjloTayYpSW5F2cf4d1DZ85/is4/eJIEPlACflw721OtD6tEuD56PPUj7C+j0AqclYBO/DNE1Mawx2wnQ6TsFH+/t8DCjNm2Y1XYB7s1bX0JcP1TwRSzRltsTiPgflw+G9quepJwJl0moy1viZUkoRADY/f8D2PfJ7HDPa75muVL/v576nQKtU8beh8qt8ODVVM00zgrSLVQZdrlgVS2pPC8AejJUr/tIufturA/67nPoxnBK/+/pa6uWOJ3Y7PmOcNnHyBpA+QyfVA+BS27YyV7Im2i7uy4oIkj5U11Jb6Wt+fR97Jubw377/DICaYvLZHzxjG0zm5LhuhuFe++4vTMoFsHY2VIaseyCtq+ehX6ovkjoOizJbn8pHWlPt4rJj6gvQdbAZpuadlQ+S9UsVEy/ur8mmQXt8ALLno/n3MVusCKMv9QQgVi6qm07rKaL5BKRd5N2kaZqYK9YDIuVBYRiGeO0rh2rHr5vrQljD5YpaRaX2bylplyg8HxoDJmCpegDw3N4pUREC+Pd7AOGqXYJuqAp+lQ/xfq1reGKuJNZXt/vYDVmtmClURFDhpHykUoYIUJ3TLt5NxoqabqG1n/e33gQZpPem45fi6EW9mJgr4Ue/3tvw/cOzjWkXueuraK2uCZhpYCoHH22AVI9cOoXebLqhHblbtYthGIF8H6Zp4qbbn8ZUoYwTlw0il07hwW0HsOmZfeKCjbK1OmCV2hJhg4+GUlvNQrauXjFUk4f154Q8H34ajAFyqW1tsB098Je6pF0GlAdXXFBPE9Vw2pdLi+N+5rVJAMF7fNR+j/+5EV5QkJsyGh8YarltkoKPctWsT1S2jKEqpDxR8OTlJ7JUzpLVtt3huu6PJe2i93wcUGZ6bN5mqR/WTBf3MlsgnOG01q+j9v9+TKe+PR8O75dSLov7sqEbt+Uylkduql5aCjh7PgBLDSrZgo/62uukfCjKgJhy7qCskHojm7adoLVryIfykU4ZeM+5tXJ4p9SL6BItXeuDctrFRbkHZEMtBx8th4KP4b4sDMOw1f4D7soHEKzXx3e37MIDzx9ALpPCP7zvbPzRm9YCAP7bD58RF1GUZbZATX6k33nKUUNYHrKTIF2kXnMiRvpzGO7NwjRrnRh1COXDZ5dVMs9VKtZMl1wm5XoD04OrakbXCM4JXbWLYRjC9/Fc3TAWyvMRYZt43RwawCH48LmrjRM5yJgplF2NobTjo3y+rrspId/rVtql8XpS/61IDacO1S50fdPHI6de/Mx0IdTdv5/0mWEYVqMxH8Guf+WjsclYsykXQu7xYjUZcz6erMNkWwoG+pw8H+m6MlB/iBcqNGi08Vwev6z2mZDKqSNI2gUAfufcVUgZwCMvjTeks8dnGtMug3K1i6a1OmEFV1xq23IoyCCJnHbilF5wczcD1kLk9XDbMzGH//aDWrrlhredgOPGBrHhkuOwfKgHO8fncPPm7QCibTBG0A4vaGMxGXXXpNtFGYaBdfXmR26pl3GHiN2NtNRkTPZ7uJUM2x5cMbZYJ8OamnYBLNMp7SzCeD6suRHRKR9OQa7a60M3aK2VZNIp8WCbLVZcJXJVNfTu82GVQrulXXLplG0nHW2TMQflox58vPHYJQCAh144INIJfnt8AI0PHL9BZJAup/O+lY/6+y2URY+NfREFH3KLdTKk65QPMd+lXmo7X6qIIMhJlZSVD9M0bQZOlePq1Ucv1FNjOoKkXYBaIcS5a0YAAD998aD4erlSFZ4hp1LbaWkIqO75lVc6uLaLhRl8zNndwotF2qX2cHSr6wasXdG8S+Qo0i3zZZy5ahH+eH1N8ejPZ3DT208CYOWpo067AMDZqxcjn0nhyjNXhP4d6vt3W4DXLSHfh/4mPBygtTpgb6/up7U6UMvxxjGUTWVKM1gOsORmIpznI7pS22lNWTDQ2OsjCYZTwL6YWukR/Vwhwkv5IM/HbLGCCWlsgIphGDb1I5ImY1JQqqqmFFy/5eQxDPdmMTlfxpO7jmBiriQCk3Ue3U2BcMoHEKzLaVDlozZzpHYN7m+yuykhl9vS1GsnzwfQON9l+4FpMSfHySNkeT4qtgoZJyX8+LFBAMCr47OuSnhQ5QMAzj+2VqH4yEuHxNeOSCrSsLTOUFAzVfBWPiiFyB1O24CcdgEQyHAKWA9ht13pHU/sFumWv3/PGTZJ8KozV+D1x4yIv0dd7QIAf/eeM/CzT74ZJywbDP07GsaMuwUfpHy4pF2CDJUDZOWj6qu1OtEnPbjiQuf5AOyLwqK+bKi0Wl+Epba6IXhAY6+PJHg+ALvplAIwp/SIvJjnMynHHL7MUE9GXFevTdQehDovk3xfOknuQRnIZURaRe19QQHG8qEevOn4mvqx+fkDIphfNpT3tWvOKn0+enyqqnEoHz3ZtFALaLdOisPyZpUP6R6viGoXd+WDghRZSfIqRZXVAacAdMlADov7ainn7S4bLyv48Kd8ALWOp0At+CD/2hFNo0ar1NaqdtE9v9TZNe1iYQYfc/a0i2o4dXM3yz9Hng0n7tpaa4/7Jxcdi+PG7AGAYRj4zFWnChd2HMpHPpP2LDv0/B3KzsZp50kcK9Iu+htQpF0Cej6qpiXX+nHIW6bTeHKapUpVLMBOOxk5+AhjNgWsa2KuVGkYihUUnT8FaOz1IXpftDv4yEnKR/1cO6VH5ABhyYB7Sg6o3Xt0/+6ZqKk9uuBD/vei8MCkUobIzaumUzKcjg3lcdEJSwHUTKdBUi5A88pHkGoXP2qQ2uuDDKdjUQUf81aawam9OtCofFCrg+M051QOPgrS+XBKuxiGIdSPFzWpl3mpujKI8vG61YuRy6Swb7IgvHROrdUBu+ejIJQPLrVNHGIksaJ8HJktolo1pZyZ8427pC79H1Qc6jK0kzlr9SLH75+yYgh/+MZaKubE5cFmrrQKdXFxVz7qaZeDM45VJvMlK3cfVPkAgD0T3j0+iCjNmk7Iv9cpcJSDjzBmUyDYxMxK1XRt8Obm+QCsAGnn+Bzmy9Revb1LgxxAzrn0ZJDVHK8GYwQpnnuO1K4ppyoawN78L2xlhsqQ1ISOME3LUL10oEcEH0/tnsAvd4wD8B98qA8cvwqWHzWXEMqHj9+tmk6b7W5KyKWl3tUu9pJ9Kl0+TtMtVm4yVpR6ZugGFh5XN52+sM85+JBVroEAKndPNo2zVy0CUDOeAs5ltoClqMgdTnWbZ7qWudqlDQjDKXk++q20i60vvubDozzhIRflgwKTpS7qw19dcTIe+POL8a6zjg5w9K3Dr+EUAFaP9MEwajfawenG80I3TSZl+Co3o9cStEt1a61O9CuzQaKGlIR8JuWYV7UrH8HNpvS7KfhyeyC8emgWl3/lQZz3ufvw2hHncr9pl26OgNXr4+WDM2IhjyLN0AxyAOlW7SI3efPq8UHQZoO6omqVDynNE1UwNuTQaGyqUBYP9CWDOYwN9eCUo4ZgmsCdW3cD8J5mS6gVH76VjxDVLn6Uj0Flsm0caZeyy2wXQEq71Nf2F72CD6nJmJvZlDhemE6dK17IbDqQz7hOXHaCOlP/vO77EK3VFfVY7nBqNRlzr3bh4KMNNCofVu2//IHobi56AB6cclY+qlVTBCZuqQ/DMHDMkv7AA99aRRDDaU82LXbQTqkX2e/h9/06Kx/ei1bcXU69hkRFoXwYhiH5Ppzfx5ZXxvGuf/wZtu2bRqFcxfP7nBc/N38KYCkfsmzc7rSL6PBaLEuD5dyrXbzMpgTd73Sva4OPvJx2ieZ8DDo0GiPVYyCfEe/xohOX2o7Ra6YLEaa9OmCpSn7SLkGGD8qN1SpVS+Fp2nAqPWzJy6FTPsgHU6maKFeqIoXhpXwU5ODDJdCitIuu4iWM2ZT4Dcl0apqmY2t1QArGimXJk+NVasvBR8shx/CiXqp2qf13ulAWC71h6C9mL+VjYs5qfOO3siOJqFKz10ImKl4cTKdB/R6AqnzUgg9fyofYFcXj+Zh2qXQBovF8AO6tm+/auhu/9y+/EOcVcO6cCUhlwR7BB+3cUoY+X9wqBqQBgbMuJbGh0i5KB2BdqXtfxNUugHPjLadpzZR6IfymXRqajLn4tGSCGE6DeT6s93touoCqWdtU+A0Udch9Pioeng+r1NbEzsNzKFaq6MmmtBsD+eHsNuGcoF4frxyaFedGppng46xVi5DLpHBgqoCXDs5o52PR7zZNy9OorXZRpva2iwUZfEwoysdQb1a40KmqQjeUB7DUDJ3ng74+3JuNdFptq2k0nHoEHy6mU0v58O/2lpWPIC2Z4/Z8TLlUjwCWpwAIV2ZLOL0P0zTxlftewEe/vRXFchWXnrJMVEc4zQwB9BN4CUoNkfLR4zBivtXQsR6etQJ5p522HFAt8TkzSF24napoALvSEpXy4dRojIKPJVLw8brVi8V768ulfacpVMOpb8+HKLX1MdulHET5sN4vmU2XDuS1ZbF+oetjSk67aEttrbQLXePrlgxoUyByNYhbt2tibDCPwZ4MKlUTLx9snG8VtMeHTE82jXNWLwYA/Hz7IceJtrXjS4n3OT7tHnyw8tFGDkvlSkDthqX/31vfYbtF9bTDOuTgbQAs57pXw6Oko95wXouN24yXrTuPAADWLvFvrjUMw7agpAzvkemA5PmI2XCqK5GOwvMBODca+9Gv9+L/u28bAOBDF67DLe8/RzyY9MqHe7BEvT4oeGl3ygWwhsvJA9cclY98cOVDXbi9ql3SKUO7kAfFqdEYbXhkVS+XSeGCuuS+bmm/b6+AWmob1PMxW/K+Zyg140v56LHe796IenwA9moXkXbxLLU1Pf0egJR2KflLu9QqXmq/b5tD6rMZ5QOwfB+PvHRI2yvJMAxxTmijx6W2CcM0TSvtIu2AKB1AJZ05l0iXlI8D0wXHyg4yXDZb6tpuVJOd10J27BJ9r4+HXqh16aNdul/kHdISnzumfkmSjYNpj8WEgs7h3qwtEAmK8HxIxtn7nq2NW7/m/DW46e0nI5UyXGeGyD8/oBlgqMrP7e7xAVifIQUf2bRzACAHH35TnOpnok+71H53VCkXQDacNqZdVHP6FWccBQA4T+oJ5EVaegBnAgRNdG/P+zKcBlA+pGvTKpdvzmwKSLNMJOVDtzZkpFLbIMGHXO3iZjgF3H0fk00oH4Dc72PcsbU6Qb+f7ACehtM2NxmLvsFEwpmXolnZtEOBCN0gfpSPYrmK6UK54aI6JJSPzg4+GjwfnmmX2g396vgsiuWquMj3TMzhxf3TSBkQuzm/ZFIGaO/rx+8BWA8kr7LBv77rV3jxwDRuef85gRYGt74ZQC0///G3nuC6wPlBeD7qng3TNPFwvdXypacuE69zmxkCSGkXjVJDvT7IiN3uMlvACj4ohakLfGU1x+/9ppr1dL+bgpIogzGr1LYx7aKmFN951tE4ZrRfeAr8ICsfQRQs0eE0UJMx/8rH5Fw5su6mADBQn848NV8SE5tV1YcQaZdqFS8e8A4+8tLUVz/KB+A+46VZ5eOs1YuQz6RwcLogFDP1Ggas9YjUEW17dXp/rHy0FsuMY9h2PPRh7vURfPTlMuJnncpKD3ZN2iWY8rFsKI/+XBqVqolXpWFIpHqcvnKRKG/2i7yb8dPjA/CnfLx2ZA7/+vNX8LMXD+GL9zwf6JhEa3XNYmIYBj761uPFzjUscsUHUDO0vTYxj2zaEHMfAKmRk0758Ei7AHZjbDKUj3rapX4vOVW6AMBg3goafaddVM+HR9qlJ1Llo/GzOuBSln/mqkXa9+6EfL8EKZe2DKd+PB/hDKdRldkC1rVM1R+AXfWRISNquWJ69vgAlCZj9ffqFXyIGS8OvT5oMJyTWuGHfCaNc9bUfB+kOjn1SqJzcmjaesY5/z72fLQFGh433Gsv+aSHIs0Q8brYaJd1yMF0enCqW9IuqufD/ZwYhoG1ddOpPN2Wgo8LA6ZcAHvfAj9ltoA/w+mPn90n/v/fH3kFv3x53PF11arZ8Hss5SN8SsUP6oyah7fXav3PXr3Y9sAcdmhcJeOl1ABWrw8gIcFH/YFLaowuNTJcN4tnUobvtIsaAHumXWJRPiTPx6T/Si4vZI+UW0dilUCzXQKV2sppl2i6mwLWtTwhBR/6Utva13cfmcN0oYx0ysAxo/q+Kba0i8eQUeL4+hiLHQdnRJ8NoOaP2fRMba256ITwQz7J90E4KR8U2Hp6PrjapT2I1upKFLpYSbt4BR+0y3JVPiJYTNqJWu3iZ7FRB8xVqyZ+Vk8VrD8uePBhUz58yrV+DKf31hcEKpv+5PeeauhxMD5TxNU3P4xzPrfJVsFjdQyN9yHdJ5ql1Y7rZ9tr55EmnxJOjatkfAUfkvKRDMOp/Vh16sRwXxaffedp+MJvneG7C6l67+veLwWx8Xg+rM9KNCSMYL1IpQwxtiFQ2kUoH94+KaF8+EjPWe3Vy5FNtAWs60NOHWQ8Sm2f2zsJAFgz0ue6vjs1GfO6BlYM96A/l0a5auKVQ9bGa/O2A5gqlHHUcA/OrasXYfgNJV2tXsOAdU4odeZVasvKR4uZEE1alOCj33/aBXAvtz1Yjzz9dlxMKvI5MAx/i/BaMp3WK16e2TOJ8Zki+nNpnL06+M2XiSHtMjlfEpMiv37tuVg6mMf2AzP4h/tfFK/ZNzmP9/7Tz/HkziOYL1XxrUdfFd+b8vEwjwJ6+M3WR5I/Ulc+LjjOvhDRbnrKQfkwTdOzvTqgpl3avyyoZcFuD9Jrzl+D3z5npe/f3eD50AQ29DqnhT4s6qyTcqUqDIJ+lT0vSC0MEnzQxsKP8iGajPkI9gZ7Gg2nUaZdZPSltrXz8dzemh/Dq2GbXIrqNeeLMAzDMfVy95O1GV/vOOOowN1NZc5YOSzuy8GejLP5WjknXsoHBx8thipd1EZDtNBQPt877aIvtz3oULffidR6ndT+v9dn7wdrum3tBqSUy28cOxqq54msfERlON38/AGUKibWLe3H2asX47NXnQoAuPmB7Xhu7yR2js/iPbf8HC/snxaS/B1P7BZyqmgyFtK97hdZ+di2fwqHZorozaZx5spFtte5eT7mShXQXDp3z0fC0i4+lY8w9ObSIpBOpwxtJcMFx47ipstPwl9dcUpk/7Za7TI+U4Rp1srIo2pISA/hIOmiPmE4tR5ID794EB/+9y1CMSACKR/SbBfyZ0RhOO3LpiEvR4YB7cOdSnBfPuhvSJ+cdqEUk1e1CwAxQJQqXmYKZZHeverM5kZo5DNp4fNySrkAjWlg3THL76+dBH4aPPjgg7jyyiuxYsUKGIaBO++8s+E1zz77LK666ioMDw9jcHAQ559/Pl599dXGX9YG1NbqhKqEeF1sOuXDNE1fc106AcMwxCLtdxd1rNLr46EXDgAIl3IB7NLh0oCeD53ycV99QXjbKbWKkd88bTkuPWUZylUTH//Ok/jtWx7Gq+OzWDPahx9+5E1YMpDDwekiNj9/wPZ741Y+KK0zWyzj4Rdrqsd5a0cagji52kUt/aZjTRnunyH1+gCSEXyo51bnywgL3f9uQXUmncKHLjoWpx09HNm/S58VVd1Rj4/RCBpvERR8hKl2odTjv//8ZVzzvx7FPb/ei3//+SvidRVp8KYf5YMCYwqAc5lUU+XnRCpl2Ia06SpdAGsDQ8fgVYUm31+kcvrZOFHFCwUf9z27D/OlKo4Z7cNpRw95/rwXVHKrG8ypVtPo0y71wXJtLrUNHHzMzMzgzDPPxNe+9jXH72/fvh3r16/HSSedhAceeABPPvkkPv3pT6OnJxpJsVnEUDnlBlBNaF75Y6vFuj34mClWhCPZr/s+ydCDyO8DidIuh2aK2Dsxj8dePgwAeJPSLtovYapd5Nku6sO4VKni/udqvTIurQcfhmHgs+88DYP5DJ7dM4l9kwWcsGwA3/3Qb2Dtkn4x+O+7W3YC8O7zERVC+ShU8LDwezSWKlPaRe7ISExLZbZuypXc6yMJaZc+xU8TpOLDD7R7jFJR8YOsPk3Nl7Q9PpohTNqFXjs1X8Zf3fk0Pn3Xr0Vn2e2S30k2KfpRPnqzaVs6ZPlQT2Tdc+Vz6Ra4qYGJZ/AhPbTp/vHjJxID5uqNxr5fT7lcdeaKSN7zlWeuwIrhHrz9tOWO31fXI0/DaZuVj8B39OWXX47LL79c+/1PfepTePvb344vfvGL4mvr1q0Ld3QxoFU+lLbfnmkXMVzOnnahlEtfLh35gtkOhPLhc5Huz2ewfKgHeyfn8a1HX0WxUsWK4R6sW+JvKqdKJkTaZag3i0zKQLlq4uHth/BGSXV5dMc4JufLGO3P4axVlgdl+XAPPv2OU/AX33sKZ6wcxr/+4evFDuO3z12Jr/90B3787H4cmi4INUHXrjwqSMGZnC/hxXoe+YJjGxWk/lwaKaO2s5ucK9kCRTHXxSNQknt9JMFwqvYkiTpIkJWPVpJOGRjMZzBVKGNyvqzt8dEMQvkIcM7omjk4XcA3H3kVhgFcfdbRuP2J3baOxfJu2c8D2TBqTfCoAiOKlAsh3386vwfQWILrNSFY9rbRUEZfykc97fLSwRkcmi5g87aaUnrlmSs8f9YPa0b78fBNb9F+X1ULdcrHot4s/uI3T/Rt0I6LSLc41WoVP/zhD3HCCSfgsssuw9jYGN7whjc4pmaIQqGAyclJ2584sapd7KqEOvDMs9ql3ub7oKJ8HOySBmMEXaBBdsPk+7itbtJ80/FLQ0f+tKMZ7s36n1ORTeP337AaAPD/3PUrm7GKyt7ecvJYw27pd85bhYf+4hLc/icX2KTNk5YP4fSjh1Gumrhr62stS7tQ8Prr3ZOYKpQx1JPBKSsa5Vta4IFG30eQQIlMp0lIu6RThi0w6Iv4mGioZNTpHD/I5bZuPT7CQg/iIPesHKj05dL452vOxWfeWfNC7Z+ymlvNl6mSwvCdJhqSAt8oymwJ+f7TtVYHrFJboKa8eDUUNAzLBzQdIO1y9OJe9GRTKJar+JeHdqBUMXHS8kFRhhs36vvSHXN/PoM/vfg4/NH6ta04LC2RBh/79+/H9PQ0vvCFL+A3f/M3ce+99+Lqq6/Gu9/9bmzevNnxZzZu3Ijh4WHxZ9WqVVEeUgM65aMx7eJ+apYO1kttp3TBR+enXABrAQuyQ6Tgg3Z1bzohnN8DsBZSvykX4s8uPRFLBnLYfmAGX//pSwBqfhwKPt52irN0uWqkz9ZbhHjPubVqiu9u2SUWpLjTLqR8kDHs/HWj2gWfvAQTSpfTIIES9fpIQvAB2AOmqIMEUjpbnXYBrOtmUk67RGhOp+s3yOc4NpjHmtE+rBntw/f+5AK87ZRlGOrJik0UqR8F0d3U/++WH4pRVLpYv1dOu+jXa/l+9tt1mB7cogDBh+E0nTKE5+1fH34ZAHDVWdGoHn5Q7/FcmydTexG58gEA73znO/Hxj38cZ511Fj75yU/iHe94B2655RbHn7npppswMTEh/uzcuTPKQ2pABB+9jUpHv7QQ+VU+JufLtp019f1odmR0UrCUjwDBhzQ8zjAa+1IEgR62QRfn4d4s/vLtJwMAvvrjF7Dr8Cye3TOF3Ufm0JNNBTbAXnXmCuTSKTy7Z1LkwlulfBBvdDlmtYST8FNmS7z39atw5sphvPXkZZ6vbQVyH5WeyNMudc9HGwItucX6/qn6vJMog48QhtNsOoVNH78I9//ZxTj5KEtdU6vXSPkIoqrQtQlEm3YZ8Jl2kb8XOvjwWalHvg/qtXHlGa0LPvx6PpJCpEe3ZMkSZDIZnHKKvTTt5JNP1la75PN5DA0N2f7Eia7JWO1rVkDi9cEN130FgN102m1pl2aUDwA4/ehhrTvbD9Q4KMzifPXZR+P1a0cwX6ris99/Rqge649bGnjHu6gvh7dJ81QMI37JXvU9uM3FcRpYBlhu/X4fDdEuOXEMd21YjxOXt0Ym9sKmfEQcJFB1W1vSLtJnZSkf0SkClIIIGljlMqmGclW1ei2M8jEkKR9RNBgj/KZd5O959fgg1LSL30Zzcorl7NWLsGok/FTroPitdkkKkR5dLpfDeeedh+eft8/K2LZtG9asWRPlPxUaUj6cyr1k06nXzZWS2jnLvT6sMtvuSLvQeQjysJbr6MOW2BKkfITJFRuGgc+96zRkUgbufWYf/tfPdgCwqlyCIjeyGvCoHokCueJj6WDeddcm91OQmWlRK/g4kIOvqM3b5x4zgp5sCm9YG2zQYRTIKlUcaRdKQUSRPiNzJgUfVIrrp9KFiC346PGnfMgpmeM8enwQtPm0ql38vV/5Hm2l6gE4pV2SHXwEvqOnp6fx4otWJ8gdO3Zg69atGBkZwerVq3HjjTfive99Ly688EJccskluOeee/D9738fDzzwQJTHHYr5UsV1MI/cvMXPxTY6kMf+qYKt14eY69LhDcaIoH0+AGDFol7kMykUylWsDzHPRYZ2LWFl6ROWDeKP1q/FPz34EibmSjAM4M0nh5uxcOHxS7FsKI99kwXP6pEokB++Fxw76hrsWI3GFM8HNUSLuRV8HMhqTdTejNetXoynP3NZW3aHzspHdOsFDRSLIlVFKiaV2xbKIZQPW9olHuXDvdS2mbSL/2oXADixrnwYRq2raStR16RswtMugVfQxx57DJdccon4+w033AAAuPbaa/GNb3wDV199NW655RZs3LgRH/nIR3DiiSfie9/7HtavXx/dUYeERg1nUobN30HIwYefqHGJw3wXSsGQJ6TTCdrnA6gtBJ+56lS8fHAG5ze5s1xdly2dqjz88pG3HI+7n3wNeybmcc7qxaFTYumUgXe/biVufmB77H4PoJbyohJat5QLoFc+hOG0BcFS1MRpOAXaJ0tT9ceeiXkxtydKz0c6hOdDB/m3dhycQbVqCuUjkOdDUj6ifJ/yPej2WVKp7XBv1nchAK3/9Pn4DT6OWdKPv7riZCzqy0Va2eOHfCaNXCYlPIhdp3xcfPHFDY2bVD74wQ/igx/8YOiDigu50sVpFyl3OfUjKzpNtqVApFuqXUj5CCrh/t7rV0fy73/mqlPxR+vXiuZlYejPZ/C3v3UG/vKOp/HHb2qu58z7z1+DH/1qL95+evy7GsMwcNRwL/ZNzmP98e5N2nSltjMt6kkSB/LDpR1VKXFBnxWlMvpy6Ug/HwrUoqjGWrm4F7l0TcXcfWROUj6CGE5r73cwn4n0fQZtMnbc2IDvVKm6/ufS/q+/ZteYZhjMZ3Co7D7VNil03orUBG5+D0AxnAZSPuS0S3fMdSFo4YiiJXIYsukU1vnM07px4QlL8dNPvLnp33P0ol785M8vbvr3+OXf/uj1mJwr2TqQOkG76ckmSm2Thl356Lzj10FKAKUyoky5AMBH33ICTly2Fxd6BKx+yKRTWDPahxf2T+OlgzMi+AiyGaEgaNlwtEqA32oXSh1Re3I/qOt/lJON42SgJyMGFSbdcNo9d7QPJjQNxoigyseoUD5qv3e+VBHVBd1S7fJH69diIJ8RfS6Y1uI1BIsY7nNvMtbpwUcSuq5GBXkgqIwz6hlQr187gtev9f+g9WLd0n68sH8a2/dPi910kIfxqSuGkU4ZOCfEVGs3Bn0qH285eRl+9sk3B+oxoqoGSVcRCPmcJP2YO29FagJSPtQhcoRsQvUjs1GAQV0KKeLMpVO2rn6dzKqRPvz5ZSe2+zAYD7w8H52YdulXum52C0NKJ8ooW6vHQU153IeXDk5jbd0DEkT5OHH5IB771FsjV0/lCi6nxoAyXsqhihpcJf1BTth9MAuoyVjSOSzSLjrlw3+fD8AaHEfKx0ExoTIXexkmw8hYng972oU8H4OdGHx0ueeDSPr0a5rL9NKBGavUNuDDeHF/TjvyPixyNZRb2iUMnap8yAFZPoBPpR10xhmNCLcGY0DwUltaNMjz0W0NxpjOQd/no/aw6ETlYyDmapd2oSofUXs+ooYac710YCZUqW1cDEoPWr9zZvyiej6SXjlCyIp7NpPsDXBnnNGImBCt1XWGU+vrQZSP8ZkiqlVTBB+jXVLpwnQOVp+Pkq0ajfoUdGLwIR9zTwIedlEh970AOiD4qKda9k7OY7zeSiBIqW1cyNUuUZsr1fU/Ce/XD/I5SXrAlOyjixhRaqtp923zfPgJPuq9PMpVExNzJanMNtmLCdN90G66VDExX2+BbZqm6FMQ9xC8OCBZvTebjlyybyeq+XcswtbqcTDcl8VofW18ds8UgGQoH3LaJXLlQ027JDyFQdC1ZRjRn5OoWVDBBzUZ0ykf/bm0iBb9pF1yGctYemimwGkXpm305dJisaGKl/lSVQzB60TlgxbSbkq5ADVzpByAJF35AKxy1ef2TAJIhhJATbWAGDwfSrDRMZ6P+vMol04l3nfYGWc0IibmrCZjThiGgROWDyCbrjV38gP18zg4Xey6BmNM52AYhtTro3adU6WLYUQ/mK0VnLR8CL+xbjSyhnVJQlaiOiH4oJJvUtKSoHwAVoDqVe0SlIYmYx0SfAzWFdCkp1yABVpqu0hT7QIA//HH52NyriSGxnmxpD+Plw7M4OB0QXQ6ZeWDaQdDvVkcni2JIFt0N81lOjJtkcuk8K3/en67DyMWhnqy2DMxD8OASGkkGXlSNZAM5QOoBR/jM8UYlI/ObDJGVW2dECwtrODDo9oFqHXyDFKPvmTQKrfltAvTTuSBZYDc4yMZu1TGgkyno/25yHftcUAzXoikKR+xez464GEOWOcj6d1NgQWUdpkvVYQRzy34CAqZTg9OF6y0y2DydzJM92GNaq8FHZ3c3bTboUCxUzYqqvLhpwN0KyCPQ9QNtWSlwzCi95TEBfWQScrn48aCWpU+c+UpODJXinQxprLafZPzwtDaKQsK0100KB/zHHwkFXpIdILfA6h1Os6mDZQqNQNzUpSPwRYoH51g3iTOWrUI7zjjKFxw7JJ2H4onC2ZV6smm8YE3ro3891KgsW3fNEwTSBn2ZmUM0yrURmMzxXrw0YFltt0OmYOTXmZLZNMprB7pw/b6JN6k7Kzp2s6kIu7zIaUtOiXlAtSO9Wu//7p2H4YvOuesJhSqbNm2r1b/PtKfS3x9NdOdWI3G7GmX/i6aCNstHLdsEABw8lGDbT4S/8jTpZPS9I1KyONsr54Ulafb4FWpSUj5mK2XoHHKhWkXqvIh0i6sfCSO979hNc5fO+J7anESkH0fSVE+1oz0AQCWD0erINmDj2S8126DV6UmGVWCDW6tzrSL4T6752OGDaeJxTAMHL+sc1QPwGqzDiRH+fjAG4/B6UcP45xjFkf6e2W1o5PSLp0Er0pNojYUY+WDaReW8lELOqZEqS3f5kzzHDuWPOUjn0njguOiN1eqhlMmevisNslAPmO7UDn4YNqFPFwOYOWDiRa510dPB3bMDUKnGk47CT6rTWIYBpZKAQcHH0y7aPB8cPDBRMji/hzeeNwojh8bwFiHlAiHhT0f8cOrUgSMDuSw+8ic+H+GaQfUO8KqdqmZoDn4YKLim3/0hlpLgS6v6JMDDlY+4oFXpQiQ1Y6lrHwwbUJWPkzTtGa7cPDBRIRhGOiQfltNkePgI3b4rEaAPBiK0y5MuyDPR7lqYq5U4Q6nDBMSm+eDDaexwGc1ApZI+U+e68K0i95sWjRbmpwrW54P7vPBMIFg5SN++KxGgKx8jHTAeGymOzEMQ/J9lCTDaXdXJjBM1OS5w2nscPARATQcaqgnwxcq01ZoZsjEXEkqtY1uijPDLARY+YgfPqsRsGyo1to36ha/DBMUUj4OTBVQrtYmkPaz8sEwgeBS2/jhZHAEnHfMCD7y5uPwhnWj7T4UZoFDFS+v1Uu/AR4sxzBB4SZj8cOrUgSkUwZuuPTEdh8Gw4iKl9eOzAMA+nPpru/JwDBRYxgGcukUipUqV7vEBJ9VhukiVOWDe3wwTDhI8eC0SzzwWWWYLoI8H3smasEHl9kyTDgo+OC0SzzwWWWYLmK4Hny8NlFLu3CDMYYJB6VbOPiIBz6rDNNFUKntgakCADabMkxY8lkOPuKEzyrDdBGUdiE47cIw4RDKBxtOY4HPKsN0EWQ4JTjtwjDhEIbTLPfJiQMOPhimi6BSW4KDD4YJB1WK9ec4+IgDXpkYpotQlQ8utWWYcHzsrcfjvmf2443HLWn3oXQlvDIxTBfR4Png1uoME4oLjl2CC47lwCMuOO3CMF0Eez4YhukEOPhgmC6iJ5tCNm21U+e0C8MwSYSDD4bpIgzDsKkfg1xqyzBMAuHgg2G6DNn3wcoHwzBJJHDw8eCDD+LKK6/EihUrYBgG7rzzTu1rP/ShD8EwDHz5y19u4hAZhgnCkKR2sOeDYZgkEjj4mJmZwZlnnomvfe1rrq+788478Ytf/AIrVqwIfXAMwwRHVj44+GAYJokEXpkuv/xyXH755a6v2b17NzZs2IAf/ehHuOKKK0IfHMMwwZE9H5x2YRgmiUS+MlWrVVxzzTW48cYbceqpp3q+vlAooFAoiL9PTk5GfUgMs6CQu5zybBeGYZJI5IbTv/3bv0Umk8FHPvIRX6/fuHEjhoeHxZ9Vq1ZFfUgMs6CwGU55qi3DMAkk0uBjy5Yt+MpXvoJvfOMbMAzD+wcA3HTTTZiYmBB/du7cGeUhMcyCg9Iufbk00il/9yHDMEwriTT4eOihh7B//36sXr0amUwGmUwGr7zyCv7sz/4MxxxzjOPP5PN5DA0N2f4wDBMeUj7Y78EwTFKJdHW65ppr8Na3vtX2tcsuuwzXXHMN/vAP/zDKf4phGA1UasuVLgzDJJXAq9P09DRefPFF8fcdO3Zg69atGBkZwerVqzE6Omp7fTabxfLly3HiiSc2f7QMw3iyfKgHALB0MN/mI2EYhnEmcPDx2GOP4ZJLLhF/v+GGGwAA1157Lb7xjW9EdmAMw4TjvGNGsPHdp+OcNYvbfSgMwzCOGKZpmu0+CJnJyUkMDw9jYmKC/R8MwzAM0yEEeX7zbBeGYRiGYVoKBx8MwzAMw7QUDj4YhmEYhmkpHHwwDMMwDNNSOPhgGIZhGKalcPDBMAzDMExL4eCDYRiGYZiWwsEHwzAMwzAthYMPhmEYhmFaCgcfDMMwDMO0FA4+GIZhGIZpKRx8MAzDMAzTUjj4YBiGYRimpWTafQAqNGR3cnKyzUfCMAzDMIxf6LlNz3E3Ehd8TE1NAQBWrVrV5iNhGIZhGCYoU1NTGB4edn2NYfoJUVpItVrFa6+9hsHBQRiGEenvnpycxKpVq7Bz504MDQ1F+rsZO3yuWwef69bB57p18LluHVGda9M0MTU1hRUrViCVcnd1JE75SKVSWLlyZaz/xtDQEF/MLYLPdevgc906+Fy3Dj7XrSOKc+2leBBsOGUYhmEYpqVw8MEwDMMwTEtZUMFHPp/HX//1XyOfz7f7ULoePtetg8916+Bz3Tr4XLeOdpzrxBlOGYZhGIbpbhaU8sEwDMMwTPvh4INhGIZhmJbCwQfDMAzDMC2Fgw+GYRiGYVrKggk+/vEf/xFr165FT08PzjnnHDz00EPtPqSOZ+PGjTjvvPMwODiIsbExvOtd78Lzzz9ve41pmvjMZz6DFStWoLe3FxdffDF+/etft+mIu4eNGzfCMAx87GMfE1/jcx0du3fvxvvf/36Mjo6ir68PZ511FrZs2SK+z+c6OsrlMv7qr/4Ka9euRW9vL9atW4fPfvazqFar4jV8vsPx4IMP4sorr8SKFStgGAbuvPNO2/f9nNdCoYDrr78eS5YsQX9/P6666irs2rWr+YMzFwDf/va3zWw2a/7Lv/yL+cwzz5gf/ehHzf7+fvOVV15p96F1NJdddpl56623mr/61a/MrVu3mldccYW5evVqc3p6WrzmC1/4gjk4OGh+73vfM59++mnzve99r3nUUUeZk5OTbTzyzubRRx81jznmGPOMM84wP/rRj4qv87mOhvHxcXPNmjXmBz7wAfMXv/iFuWPHDvO+++4zX3zxRfEaPtfR8bnPfc4cHR01f/CDH5g7duwwv/vd75oDAwPml7/8ZfEaPt/h+M///E/zU5/6lPm9733PBGDecccdtu/7Oa8f/vCHzaOPPtrctGmT+fjjj5uXXHKJeeaZZ5rlcrmpY1sQwcfrX/9688Mf/rDtayeddJL5yU9+sk1H1J3s37/fBGBu3rzZNE3TrFar5vLly80vfOEL4jXz8/Pm8PCwecstt7TrMDuaqakp8/jjjzc3bdpkXnTRRSL44HMdHZ/4xCfM9evXa7/P5zparrjiCvODH/yg7Wvvfve7zfe///2mafL5jgo1+PBzXo8cOWJms1nz29/+tnjN7t27zVQqZd5zzz1NHU/Xp12KxSK2bNmCSy+91Pb1Sy+9FA8//HCbjqo7mZiYAACMjIwAAHbs2IG9e/fazn0+n8dFF13E5z4k1113Ha644gq89a1vtX2dz3V03H333Tj33HPxnve8B2NjYzj77LPxL//yL+L7fK6jZf369fjxj3+Mbdu2AQCefPJJ/PSnP8Xb3/52AHy+48LPed2yZQtKpZLtNStWrMBpp53W9LlP3GC5qDl48CAqlQqWLVtm+/qyZcuwd+/eNh1V92GaJm644QasX78ep512GgCI8+t07l955ZWWH2On8+1vfxuPP/44fvnLXzZ8j891dLz00ku4+eabccMNN+Av//Iv8eijj+IjH/kI8vk8/uAP/oDPdcR84hOfwMTEBE466SSk02lUKhV8/vOfx+/93u8B4Gs7Lvyc17179yKXy2Hx4sUNr2n2+dn1wQdhGIbt76ZpNnyNCc+GDRvw1FNP4ac//WnD9/jcN8/OnTvx0Y9+FPfeey96enq0r+Nz3TzVahXnnnsu/uZv/gYAcPbZZ+PXv/41br75ZvzBH/yBeB2f62j4zne+g29+85u47bbbcOqpp2Lr1q342Mc+hhUrVuDaa68Vr+PzHQ9hzmsU577r0y5LlixBOp1uiNL279/fEPEx4bj++utx99134/7778fKlSvF15cvXw4AfO4jYMuWLdi/fz/OOeccZDIZZDIZbN68GV/96leRyWTE+eRz3TxHHXUUTjnlFNvXTj75ZLz66qsA+LqOmhtvvBGf/OQn8bu/+7s4/fTTcc011+DjH/84Nm7cCIDPd1z4Oa/Lly9HsVjE4cOHta8JS9cHH7lcDueccw42bdpk+/qmTZtwwQUXtOmougPTNLFhwwbcfvvt+MlPfoK1a9favr927VosX77cdu6LxSI2b97M5z4gb3nLW/D0009j69at4s+5556L973vfdi6dSvWrVvH5zoi3vjGNzaUjG/btg1r1qwBwNd11MzOziKVsj+K0um0KLXl8x0Pfs7rOeecg2w2a3vNnj178Ktf/ar5c9+UXbVDoFLb//k//6f5zDPPmB/72MfM/v5+8+WXX273oXU0f/Inf2IODw+bDzzwgLlnzx7xZ3Z2VrzmC1/4gjk8PGzefvvt5tNPP23+3u/9HpfIRYRc7WKafK6j4tFHHzUzmYz5+c9/3nzhhRfM//iP/zD7+vrMb37zm+I1fK6j49prrzWPPvpoUWp7++23m0uWLDH/4i/+QryGz3c4pqamzCeeeMJ84oknTADml770JfOJJ54QbSb8nNcPf/jD5sqVK8377rvPfPzxx803v/nNXGobhH/4h38w16xZY+ZyOfN1r3udKAdlwgPA8c+tt94qXlOtVs2//uu/NpcvX27m83nzwgsvNJ9++un2HXQXoQYffK6j4/vf/7552mmnmfl83jzppJPMf/7nf7Z9n891dExOTpof/ehHzdWrV5s9PT3munXrzE996lNmoVAQr+HzHY7777/fcY2+9tprTdP0d17n5ubMDRs2mCMjI2Zvb6/5jne8w3z11VebPjbDNE2zOe2EYRiGYRjGP13v+WAYhmEYJllw8MEwDMMwTEvh4INhGIZhmJbCwQfDMAzDMC2Fgw+GYRiGYVoKBx8MwzAMw7QUDj4YhmEYhmkpHHwwDMMwDNNSOPhgGIZhGKalcPDBMAzDMExL4eCDYRiGYZiWwsEHwzAMwzAt5f8H0oDnjytfI5oAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def sample_batch(X, Y, batch_size):\n", + " idx = np.random.randint(0, len(X), (batch_size, ))\n", + " x = X[idx]\n", + " y = Y[idx]\n", + " return x, y\n", + "\n", + "num_epochs = 100\n", + "lr = 0.0001 #Learning Rate\n", + "w = np.zeros((1, 2)) #Initial Guess\n", + "batch_size = 8\n", + "loss_lis = []\n", + "for i in tqdm(range(num_epochs)):\n", + " total_loss = 0\n", + " for j in range(len(X) // batch_size):\n", + " x, y = sample_batch(X, Y, batch_size)\n", + " y = y.reshape(-1)\n", + " y_pred = np.exp(x @ w.T) \n", + " loss = -y.dot(np.log(y_pred)) + sum(y_pred) + sum(np.log(factorial(y))) #poisson loss function \n", + " total_loss += loss\n", + " y = y.reshape(batch_size, 1)\n", + " grads = x.T @ (y_pred - y) # Gradients dL/dw\n", + " grads = grads.reshape(1, 2)\n", + " w -= lr * grads #Otimization step\n", + " loss_lis.append(loss)\n", + "plt.plot(loss_lis)\n", + "#The loss is not normalized" + ] + }, + { + "cell_type": "code", + "execution_count": 588, + "id": "4ca32a56", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 588, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#Plotting Predictions\n", + "x_test = np.concatenate((np.linspace(0, 10, 100).reshape(-1, 1), np.ones((100, 1))), 1)\n", + "y_pred = np.exp(x_test @ w.T)\n", + "y_actual = np.exp(x_test @ W.T)\n", + "plt.scatter(X[:, 0], Y, color = 'red')\n", + "plt.plot(x_test[:, 0], y_pred, color = 'blue', linewidth = 3.5)\n", + "plt.plot(x_test[:, 0], y_actual, color = 'green', linewidth = 3)\n", + "#Red are training data points\n", + "#Blue line is predicted\n", + "#Green line is actual mean" + ] + }, + { + "cell_type": "markdown", + "id": "c6759f68", + "metadata": {}, + "source": [ + "# Q3" + ] + }, + { + "cell_type": "code", + "execution_count": 248, + "id": "48847b8c", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 249, + "id": "59396724", + "metadata": {}, + "outputs": [], + "source": [ + "X = np.concatenate((np.random.uniform(1, 10, (500, 1)), np.random.uniform(1, 10, (500, 1)) , np.ones((500,1))), 1) # x1, x2, 1 (so that there is \n", + " # no need to add bias separately)" + ] + }, + { + "cell_type": "code", + "execution_count": 250, + "id": "96daf17e", + "metadata": {}, + "outputs": [], + "source": [ + "W = np.array([[0.6, -0.6, 0.5]]) # w1, w2, bias (Actual Weights)" + ] + }, + { + "cell_type": "code", + "execution_count": 251, + "id": "6d385281", + "metadata": {}, + "outputs": [], + "source": [ + "Y = np.array([np.random.binomial(1, 1 / (1 + np.exp(-x @ W.T)))[0] for x in X]) # Ground Truth" + ] + }, + { + "cell_type": "code", + "execution_count": 252, + "id": "a4772868", + "metadata": {}, + "outputs": [], + "source": [ + "# reds => Y = 1\n", + "# blues => Y = 0\n", + "reds = np.array(X[Y==1])\n", + "blues = np.array(X[Y==0])" + ] + }, + { + "cell_type": "code", + "execution_count": 253, + "id": "a64c6e2b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 253, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#Train Dataset\n", + "plt.scatter(reds[:, 0], reds[:, 1], color = 'red') # Y = 1\n", + "plt.scatter(blues[:, 0], blues[:, 1], color = 'blue') # Y = 0" + ] + }, + { + "cell_type": "code", + "execution_count": 329, + "id": "eaff3905", + "metadata": {}, + "outputs": [], + "source": [ + "# Log Likelihood for bernoulli distribution : Σ log( sig(X @ w(T)) ) * Y(i) + log(1 - sig(X @ w(T)) ) * (1 - Y(i))\n", + "# Loss function will be negative of log likelihood\n", + "# w are predicted weights" + ] + }, + { + "cell_type": "code", + "execution_count": 330, + "id": "3e50d4d4", + "metadata": {}, + "outputs": [], + "source": [ + "def sigmoid(x):\n", + " return 1 / (1 + np.exp(-x))" + ] + }, + { + "cell_type": "markdown", + "id": "45211df7", + "metadata": {}, + "source": [ + "### Batch Gradient Descent" + ] + }, + { + "cell_type": "code", + "execution_count": 361, + "id": "1d63de9c", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Time taken for 15 epochs : 0.009 s\n", + "Predicted params (W1, W2, Bias) : (0.5904401523668777, -0.4685363912935351, -0.0072140807397043216)\n" + ] + }, + { + "data": { + "image/png": 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AqSLshCimnwMA4B+EnRDF9HMAAPyDsBOivDOyaNkBAOCUEHZC1MEZWYQdAABOBWEnRHladoroxgIA4JQQdkIUA5QBAPAPwk6I8oSd6vomVdU3mlwNAADhi7ATohJtVqUmxEhi3A4AAKeCsBPCspl+DgDAKSPshDAH43YAADhlhJ0QRssOAACnjrATwnJYWBAAgFNG2AlhTD8HAODUEXZCGPtjAQBw6gg7IcyzinJZtUuupmaTqwEAIDwRdkJYRmKsbNaWf6JSZ73J1QAAEJ4IOyHMYrEwIwsAgFNE2Alx3g1BGaQMAECbEHZCnKdlhy0jAABoG8JOiKMbCwCAU0PYCXFsGQEAwKkh7IS4bFZRBgDglBB2QpynG6uksl5ut2FyNQAAhB/CToizp8QpyiI1NLtVXuMyuxwAAMIOYSfExURHKSs5ThLTzwEAaAvCThhgRhYAAG1H2AkDnkHKrLUDAEDrEXbCQDbTzwEAaDPCThhw0I0FAECbEXbCAGvtAADQdoSdMJBDNxYAAG1G2AkDnm6s6vomVdU3mlwNAADhhbATBhJtVqUmxEhi3A4AAK1F2AkTrLUDAEDbtCnsFBYWqqioyHt/1apVys/P19y5c/1WGHx5wk6xk7ADAEBrtCnsXH/99frkk08kSaWlpRo7dqxWrVqlX/7yl3r00Uf9WiBaeGdk0bIDAECrtCnsbNy4Ueeee64k6Y033lDfvn21cuVKvfbaa5o3b54/68MBnpYd9scCAKB12hR2GhsbZbPZJEmLFy/WhAkTJEm9e/dWSUmJ/6qDl7cbi7ADAECrtCns9OnTR88++6yWL1+uRYsWafz48ZKk4uJiZWRk+LVAtKAbCwCAtmlT2JkxY4b+8pe/aNSoUbruuuvUv39/SdJ7773n7d6Cf3nW2imrdsnV1GxyNQAAhA9rW75o1KhRKi8vV1VVldLS0rzHb7vtNiUkJPitOByUkRiruJgo1Te6VVJZr9MyE80uCQCAsNCmlp26ujq5XC5v0Nm5c6eeeuopbdmyRZ06dfJrgWhhsVi8rTuM2wEA4OS1KexcdtlleumllyRJlZWVGjJkiJ544gldfvnlmjNnjl8LxEHMyAIAoPXaFHbWrl2r888/X5L0j3/8Q1lZWdq5c6deeuklPf30034tEAexijIAAK3XprBTW1urpKQkSdLChQt15ZVXKioqSuedd5527tzp1wJxUDa7nwMA0GptCjs9evTQO++8o8LCQn300UcaN26cJKmsrEzJycl+LRAHeaafM2YHAICT16aw8z//8z+aPHmyTjvtNJ177rkaOnSopJZWnoEDB/q1QBxEyw4AAK3XpqnnV111lUaMGKGSkhLvGjuSNHr0aF1xxRV+Kw6+PLOxSirr5XYbioqymFwRAAChr01hR5LsdrvsdruKiopksViUnZ3NgoIBZk+JU5RFamh2a0+NS1nJcWaXBABAyGtTN5bb7dajjz6qlJQUde3aVV26dFFqaqr+93//V26329814oCY6CjZDwQcurIAADg5bWrZmTp1qp5//nk9/vjjGj58uAzD0GeffaZp06apvr5ejz32mL/rxAHZafEqdtZrd0Wdzu6SduIvAACgnWtT2HnxxRf117/+1bvbuST1799f2dnZuvPOOwk7AdQybqeClh0AAE5Sm7qx9u3bp969ex9xvHfv3tq3b98pF4VjY2FBAABap01hp3///po9e/YRx2fPnq2zzjrrlIvCsbHWDgAArdOmbqyZM2fqkksu0eLFizV06FBZLBatXLlShYWFev/99/1dIw7BWjsAALROm1p2Ro4cqa1bt+qKK65QZWWl9u3bpyuvvFKbNm3SCy+80KZCpk+fLovFovz8fO8xwzA0bdo0ORwOxcfHa9SoUdq0aZPP17lcLk2aNEmZmZlKTEzUhAkTVFRU1KYawgHdWAAAtE6bwo4kORwOPfbYY3rrrbf09ttv63e/+50qKir04osvtvq5Vq9erblz5x7RBTZz5kzNmjVLs2fP1urVq2W32zV27FhVV1d7z8nPz9eCBQs0f/58rVixQjU1Nbr00kvV3Nzc1ksLaZ5urGpXk5x1jSZXAwBA6Gtz2PGXmpoa3XDDDXruueeUlnZwKrVhGHrqqac0depUXXnllerbt69efPFF1dbW6rXXXpMkOZ1OPf/883riiSc0ZswYDRw4UK+88oo2bNigxYsXm3VJAZUQa1VaQowkxu0AAHAyTA87d911ly655BKNGTPG5/iOHTtUWlrq3WRUkmw2m0aOHKmVK1dKktasWaPGxkafcxwOh/r27es952hcLpeqqqp8buHE07pDVxYAACdmatiZP3++1q5dq+nTpx/xWGlpqSQpKyvL53hWVpb3sdLSUsXGxvq0CB1+ztFMnz5dKSkp3ltubu6pXkpQOVIYpAwAwMlq1WysK6+88riPV1ZWnvRzFRYW6t5779XChQsVF3fsPZ4sFt/NLg3DOOLY4U50ziOPPKL777/fe7+qqiqsAg/TzwEAOHmtCjspKSknfPxnP/vZST3XmjVrVFZWpkGDBnmPNTc3a9myZZo9e7a2bNkiqaX1pnPnzt5zysrKvK09drtdDQ0Nqqio8GndKSsr07Bhw4752jabTTab7aTqDEWeGVlFhB0AAE6oVWGnrdPKj2b06NHasGGDz7H/+q//Uu/evTVlyhR1795ddrtdixYt0sCBAyVJDQ0NWrp0qWbMmCFJGjRokGJiYrRo0SJNnDhRklRSUqKNGzdq5syZfqs11DD9HACAk9emRQX9ISkpSX379vU5lpiYqIyMDO/x/Px8FRQUKC8vT3l5eSooKFBCQoKuv/56SS0tSbfeeqseeOABZWRkKD09XZMnT1a/fv2OGPAcSbwDlGnZAQDghEwLOyfjoYceUl1dne68805VVFRoyJAhWrhwoZKSkrznPPnkk7JarZo4caLq6uo0evRozZs3T9HR0SZWHlielp091S65mppls0butQIAcKoshmEYZhdhtqqqKqWkpMjpdCo5Odnsck7IMAyd8T8fqr7RrU8nj9JpmYlmlwQAQNCd7O9v09fZQetZLBY52CMLAICTQtgJUwxSBgDg5BB2wlQOg5QBADgphJ0wlU03FgAAJ4WwE6YcdGMBAHBSCDthipYdAABODmEnTHkWFixx1sntbverBwAAcEyEnTBlT45TlEVqbDa0p8ZldjkAAIQswk6YskZHyZ7cslt8EeN2AAA4JsJOGGOPLAAAToywE8Y8g5SLCTsAABwTYSeMeVt26MYCAOCYCDthjP2xAAA4McJOGGN/LAAAToywE8Y8+2MxZgcAgGMj7IQxTzdWtatJzrpGk6sBACA0EXbCWEKsVWkJMZLoygIA4FgIO2Eum64sAACOi7AT5tgQFACA4yPshDmmnwMAcHyEnTDH9HMAAI6PsBPmctgfCwCA4yLshLns1ARJhB0AAI6FsBPmHKlxkqQ91S7VNzabXA0AAKGHsBPm0hNjFRfT8s9Y4qw3uRoAAEIPYSfMWSwW7yBl1toBAOBIhJ0IkJ12YNwOM7IAADgCYScCZB8Yt1NEyw4AAEcg7EQA1toBAODYCDsRgP2xAAA4NsJOBGCtHQAAjo2wEwE8a+2UOOvkdhsmVwMAQGgh7EQAe3KcoqMsamw2VFbtMrscAABCCmEnAlijo2RPbmndoSsLAABfhJ0I4Z2RRdgBAMAHYSdCeMbtMP0cAABfhJ0I4Zl+vruy1uRKAAAILYSdCOGZfl5cyWagAAAcirATIejGAgDg6Ag7ESIn7eAAZcNgrR0AADwIOxHCcWA2Vo2rSVX1TSZXAwBA6CDsRIiEWKvSE2Ml0ZUFAMChCDsRxDtuh7V2AADwIuxEEO/CghVMPwcAwIOwE0G808+dTD8HAMCDsBNBvAsLMmYHAAAvwk4EyT4wZqeIMTsAAHgRdiKIpxuLlh0AAA4i7EQQTzdWeY1L9Y3NJlcDAEBoIOxEkLSEGMXHREuSShikDACAJMJORLFYLOyRBQDAYQg7ESY77cC4nUrW2gEAQCLsRBzvwoKVdGMBACARdiJODmvtAADgg7ATYQ7uj0U3FgAAEmEn4njX2mFhQQAAJBF2Io5nrZ1SZ72a3YbJ1QAAYD7CToTJSrIpOsqixmZDe6pdZpcDAIDpCDsRxhodJXsy43YAAPAg7EQgz/TzImZkAQBgbtiZM2eOzjrrLCUnJys5OVlDhw7VBx984H3cMAxNmzZNDodD8fHxGjVqlDZt2uTzHC6XS5MmTVJmZqYSExM1YcIEFRUVBftSQopn3E4xa+0AAGBu2MnJydHjjz+uL7/8Ul9++aUuvPBCXXbZZd5AM3PmTM2aNUuzZ8/W6tWrZbfbNXbsWFVXV3ufIz8/XwsWLND8+fO1YsUK1dTU6NJLL1Vzc/vdCJPp5wAAHGQxDCOkpuykp6fr97//vW655RY5HA7l5+drypQpklpacbKysjRjxgzdfvvtcjqd6tixo15++WVdc801kqTi4mLl5ubq/fff10UXXXTU13C5XHK5Dg7eraqqUm5urpxOp5KTkwN/kQH22he79MsFG/SjXh31wn+da3Y5AAAERFVVlVJSUk74+ztkxuw0Nzdr/vz52r9/v4YOHaodO3aotLRU48aN855js9k0cuRIrVy5UpK0Zs0aNTY2+pzjcDjUt29f7zlHM336dKWkpHhvubm5gbswE9CNBQDAQaaHnQ0bNqhDhw6y2Wy64447tGDBAp155pkqLS2VJGVlZfmcn5WV5X2stLRUsbGxSktLO+Y5R/PII4/I6XR6b4WFhX6+KnMd3B+rTiHWcAcAQNBZzS6gV69eWr9+vSorK/XWW2/p5ptv1tKlS72PWywWn/MNwzji2OFOdI7NZpPNZju1wkOYZ8xOjatJVXVNSkmIMbkiAADMY3rLTmxsrHr06KHBgwdr+vTp6t+/v/74xz/KbrdL0hEtNGVlZd7WHrvdroaGBlVUVBzznPYoIdaq9MRYSVIRg5QBAO2c6WHncIZhyOVyqVu3brLb7Vq0aJH3sYaGBi1dulTDhg2TJA0aNEgxMTE+55SUlGjjxo3ec9orT1cW43YAAO2dqd1Yv/zlL3XxxRcrNzdX1dXVmj9/vj799FN9+OGHslgsys/PV0FBgfLy8pSXl6eCggIlJCTo+uuvlySlpKTo1ltv1QMPPKCMjAylp6dr8uTJ6tevn8aMGWPmpZkuOzVeG3Y7tbuClh0AQPtmatj54YcfdNNNN6mkpEQpKSk666yz9OGHH2rs2LGSpIceekh1dXW68847VVFRoSFDhmjhwoVKSkryPseTTz4pq9WqiRMnqq6uTqNHj9a8efMUHR1t1mWFBMchg5QBAGjPQm6dHTOc7Dz9cPL8ih363399ox/3s+uZGwaZXQ4AAH4XduvswL8OTj9nzA4AoH0j7ESonAMLC+5mM1AAQDtH2IlQnjE75TUu1Te2333CAAAg7ESotIQYxce0DNIuZpAyAKAdI+xEKIvFwh5ZAACIsBPRDg5SZq0dAED7RdiJYN61dhikDABoxwg7EcwzI2vnPlp2AADtF2EngvXNTpEk/d/XJfqqsNLcYgAAMAlhJ4JdkJepS/p1VpPb0D3z16nG1WR2SQAABB1hJ4JZLBYVXNFP2anx2rm3Vr95d5PZJQEAEHSEnQiXkhCjJ68ZoCiL9NbaIr27frfZJQEAEFSEnXbg3G7puvvCPEnSrxZsVCEDlgEA7Qhhp52458IeGtQ1TdWuJt07f52amt1mlwQAQFAQdtoJa3SUnrpmgJJsVq3dVamnl2wzuyQAAIKCsNOO5KYn6LEr+0mSZn/ynb7YvtfkigAACDzCTjszob9DVw3KkduQ7nt9vZy1jWaXBABAQBF22qFpE/rotIwEFTvr9ciCr2UYhtklAQAQMISddqiDzao/XjtQ1iiL3t9Qqje+LDS7JAAAAoaw0071z03V5It6SZKmvfeNvt9TY3JFAAAEBmGnHbvt/O4adnqG6hqbdc/f18nV1Gx2SQAA+B1hpx2LirLoyWsGKC0hRpuKq/SHj7aYXRIAAH5H2GnnspLjNPOq/pKk55bv0LKte0yuCAAA/yLsQGPPzNJN53WVJN3/xlcqr3GZXBEAAP5D2IEkaeolZ6hnVgeV17j04JtfMR0dABAxCDuQJMXFROvp6wYq1hqlT7bs0byV/zG7JAAA/IKwA6/e9mRN/fEZkqTp73+rzSVVJlcEAMCpI+zAx8+GdtXo3p3U0OzWPX9fp7oGpqMDAMIbYQc+LBaLZl51ljom2bStrEa/+79vzC4JAIBTQtjBETI62DRrYst09Fe/2KWPNpWaXBEAAG1H2MFRnZ/XUbdf0F2SNOWtr1XqrDe5IgAA2oawg2N6YFwv9ctOUWVto+57fb2a3UxHBwCEH8IOjinWGqU/XjtACbHR+vf2vfrLsu/NLgkAgFYj7OC4unfsoGkT+kiSZi3cqvWFleYWBABAKxF2cEJXD8rRJWd1VpPb0L3z16nG1WR2SQAAnDTCDk7IYrGo4Ip+yk6N1869tfqfdzeaXRIAACeNsIOTkhIfo6euHaAoi/T22t16d/1us0sCAOCkEHZw0s45LV2TLsyTJE1dsFG79taaXBEAACdG2EGrTLqwhwZ3TVONq0n3vr5OTc1us0sCAOC4CDtoFWt0lJ66doCS4qxat6tSf1yyzeySAAA4LsIOWi0nLUHTr+wnSZr9yXf6fPtekysCAODYCDtok0vPcujqQTkyDOm+19fLWdtodkkAABwVYQdtNm1CH3XLTFSJs14Pv/21DIPtJAAAoYewgzZLtFn19LUDFRNt0QcbS/X66kKzSwIA4AiEHZySfjkpmjyulyTpt//8Rt+V1ZhcEQAAvgg7OGX/fX53jeiRqbrGZt3z93VyNTWbXRIAAF6EHZyyqCiLZk3sr/TEWH1TUqXff7jF7JIAAPAi7MAvOiXHaeZPz5Ik/XXFDn26pczkigAAaEHYgd+MOTNLNw/tKkma/OZX2lPtMrkiAAAIO/CzR358hnplJam8pkEP/uMrpqMDAExH2IFfxcVE6+nrBspmjdKnW/bohc/+Y3ZJAIB2jrADv+tlT9KvLjlDkvT4B9/q8+17VbG/QY1sGgoAMIHV7AIQmW48r6uWbt2jxZvLdO3cz73H42Ki1MEWo+Q4qzrEWZUUZ1UHm1UdbDFKOnC/5VjL/Q5x1pZzbTEHz4+1KirKYuLVASfPMAxZLPy8AmYi7CAgLBaLZl7VX3e9ulbrCytV19iy9k59o1v1jS6V15za4OWWgGT1BqKkuBglHeNYTlq8Bp+WrlgrDZkIvOr6Rn1d5NTanRVau6tC6worFRsdpdsu6K4bz+uquJhos0sE2h2LwQhSVVVVKSUlRU6nU8nJyWaXE5Gamt2qcTWpur7pkI+Nqq5v8t5qXI2q8dx3Nam6vvHguQeON7SxK6yDzarz8zJ1Ye9O+lHvTsrsYPPzFaI9crsNbS+v0dpdlVq3q0LrdlVqyw/VOta7qj05TpNG99DEwbmKiSZ8A6fqZH9/E3ZE2AknrqZmb/CpcTWpqr7R5/7hx6rrG7WxuMpnGrzFIg3ITdXo3p10Ye8sndE5iW4GnBRnXaPWF7YEm7W7KrV+V4Wq6puOOC8nLV5nd0nTwC6pGtglTVtLq/XU4q0qdtZLkrqkJ+i+sXma0D9b0XTJAm1G2GkFwk5kc7sNbSx2avHmMn387Q/auLvK5/HOKXG6sHcnjTkjS0NPz6CbAZKkZreh78pqWrqiDoSbo+39FhcTpbNyUg8JN6nqlBR3xHmupmb9/Ytdmv3J995u3J5ZHXT/2J66qI+dwA20AWGnFQg77Uups16fbCnTks0/aMV35apvPNg1FhcTpRE9MnVh7yxd2LuT7ClH/tJCZKrY36D1hZUHwk2l1hdWqsZ1ZKvNaRkJGtglTWcfaLXpZU9qVZdUbUOT5q38j/6ydLucdY2SpLNyUvTAuF66IC+T0IOIU7ivVs8t365HLj5D8bH+/WOSsNMKhJ32q76xWf/+fq+WfPuDPt5c5u1m8OibnawLe2dpdO9O6pedwiywCNHU7NaWH6q1bldLuFm/q1Lby/cfcV5CbLT656Tq7K4tLTcDclOV4afxXs66Rv11+Xb9bcUO7W9oGcB/7mnpmnxRL53bLd0vrwGYaW+NS7M/+U6vfL5Tjc2GHryol+76UQ+/vkZYhJ3p06fr7bff1rfffqv4+HgNGzZMM2bMUK9evbznGIah3/72t5o7d64qKio0ZMgQ/fnPf1afPn2857hcLk2ePFl///vfVVdXp9GjR+uZZ55RTk7OSdVB2IHU8rO2uaRaH3/7g5Z8W6b1hZU+A00zO9h0Ye+OGn1Glkb0yFSijcmM4aK8xqV1uzxjbSr0dZFTtQcCxqG6d0zUwNw0nd01VQNzW1ptAj2mZm+NS3M+/V4vfb5TDU0trYwje3bU5HG91C8nJaCvDQTCfleTnl+xQ3OXbfe2jp6fl6kp43urb7Z/f6bDIuyMHz9e1157rc455xw1NTVp6tSp2rBhg7755hslJiZKkmbMmKHHHntM8+bNU8+ePfW73/1Oy5Yt05YtW5SUlCRJ+sUvfqF//vOfmjdvnjIyMvTAAw9o3759WrNmjaKjT9xkRtjB0ZTXuPTplj1asvkHLdu6x/vXtyTFRkfpvNMzDgxy7qTc9AQTK21/DMNQVV2T9u53ad/+BpXXNGjf/gbt2+/S3v0N2nvg/t79DSqvcR11n7Ykm1UDuqRqYG6qBnZN04CcVKUlxppwNS1KnHX608ff6Y3VhWpyt7wtj+9j1wPjeiovK8m0uvyhqr5RTc0t12RRyySBls8tLQcOHPPESovFcsjnB8475Ot02HMc/FzebkCf16FrMCgamtyav3qXnl7ynXdcWr/sFE0Z31sj8jID8pphEXYOt2fPHnXq1ElLly7VBRdcIMMw5HA4lJ+frylTpkhqacXJysrSjBkzdPvtt8vpdKpjx456+eWXdc0110iSiouLlZubq/fff18XXXTRCV+XsIMTaWhya9WOfVry7Q9asrlMu/bV+jzeKytJF57RSaN7d9LALmnMsGmlQ8OLT1ipabm/78CtvKYl3FTUNqixuXVvXXmdOmhgF89A4jT16NQhJP+ddu7dr6cWb9M763fLMFp+YV8xIFv5Y3qqS0Z4hOr9riZ9sWOvlm0t1/Jte/T9niO7CIPNZo1Sos2qhNhodTjw0XM/MdaqBNuBj7FWJdqifT/GRivBdtjHWCtrdx3gdhv614YSPbFwi3bubXlv7JqRoMnjeumSfp0D2v0flmHnu+++U15enjZs2KC+fftq+/btOv3007V27VoNHDjQe95ll12m1NRUvfjii/r44481evRo7du3T2lpad5z+vfvr8svv1y//e1vj3gdl8sll+vgX3pVVVXKzc0l7OCkGIah7/fUaMnmMi35tkxf/mef3If8L0pLiNGoXp00+oxOuqBnRyXHxZhXrIkMw9CeGpcK99VqT3VDSytMTUtry15PK8yB+xX7G7ytGa3RwWZVemKsMjrEKiMxVumJsUpPtCmzg+fzWGUk2tQlI0Ep8eH177D1h2rNWrhVH24qlSRZoyy65pxcTbowL+QGzrvdhjYVV2nZtj1avm2P1uysaHUYDUcx0ZYjw9BhYaklSFnVM6uDxpyRFXGzPVdsK9fjH272znLN7GDTvaN76NpzuwRlLamTDTshM+jAMAzdf//9GjFihPr27StJKi1t+U+elZXlc25WVpZ27tzpPSc2NtYn6HjO8Xz94aZPn37UEAScDIvFoh6dktSjU5JuH3m6KmsbtHTrHi3ZXKZPt5SporZRC9bt1oJ1u2WNsmhAbqq6ZiQqOy1eOanxyk6LlyM1Xo7UONms4f3G19DkVlFFrXbuq1Xhvlrt3FurXftqtevAR8/K2SfraOElo4PtqJ+nJ8ZG3C+OQ/XMStKzNw3S10WV+sPCrVq2dY9e/WKX/rGmSDed11W/GHW63wZLt0Wps17Lt+3R8m3lWvFdufbtb/B5PCctXhf07KgL8jI1tHumkuOtMgzJE4EMwzjkc8lz79A/vw8/fujXSi33vecf51y30TL1v7ahWftdTb4fG5pU6zrw8SQfdx0YW9XYbMhZ1+idVXciyXFWXT4wWxMH5/p97EqwbShyasaH32rFd+WSWv7v3n5Bd90yoltIjmcMmYruvvtuff3111qxYsURjx3e33oye80c75xHHnlE999/v/e+p2UHaIvUhFhdNiBblw3IVlOzW2t2VmjJty1T27/fs19f7qzQlzsrjvq1HZNsyj4QgLJTD7mltdxCoVXIWduoXftqtXPffu3c6xtqSpx1Ol6DTJRF6pwSr07JLSElI9Gm9ANBJqNDSyuM5/O0hMgOL211Vk6qXrrlXH2xfa/+sHCLVv+nQn9dsUN/X7VLt47opv93Qfeg/JzUNTTrix17tXxbS9fU1h981xzqYLNq6OkZuiAvU+fndVTXjIQj3oN974ZeF+LJamx2q7ahWbUNTdrvOuxjQ7NqXb4fq+obtXTLHu2urNNL/96pl/69U2d2TtbEwTm6bEC2qWPFWus/5fv1h4Vb9K+vSyS1tG7deF5X3f2jHqaG7xMJiW6sSZMm6Z133tGyZcvUrVs37/FAdWMdjjE7CJT/lO/X+sJK7a6sU1FFnXZX1ml3Ra12V9b5rO9zLEk268EgdKBFyPN5Tmq8MjvYTrk/vNltqLSqXjv37ve2yOw8pHXmRH+1xsdEq0t6grpkJKhLeoK6HvjYJT1BOWkJjGvwI8MwtHTrHv1h4RZvt0FKfIxuH9ldPx92mhJi/ff3q9tt6NvSai3ftkfLtu3R6h0VPtu1WCwtQcwTbgZ2SWULjONodhta+X253viySB9tLPV+L2OjozS2T5auGZyr4T0yQ3IcmSSVVdfrT0u+099X7VKT2/COJbtvbE9TJ2iExZgdwzA0adIkLViwQJ9++qny8vKOeNzhcOi+++7TQw89JElqaGhQp06djhig/Morr2jixImSpJKSEuXk5DBAGSHLMAxV1DZqd0WddlfWeoNQcaUnENWpovbETeOx0VHqnBrn2yJ0yOedU+IVa41SXUNzS/fSvtqWULPvYHdTUUXdCfccy+xgU9eMBHVNT1DuoYEmI0EdO9iY7RJkhmHow42lemLRVu+qzpkdbLr7R6fruiFd2tw9WlZdrxXbyg+03pQfsWGvIyVOF/TsqPPzOmp4jwylJoRPi0Qoqaxt0Lvri/XGl4XaVHxwRXdHSpyuGpSjqwfnhswMz+r6Rj23bLv+umKHd7mGH/XqqIfG99YZnc3/fRkWYefOO+/Ua6+9pnfffddnbZ2UlBTFx8dLapl6Pn36dL3wwgvKy8tTQUGBPv300yOmnv/rX//SvHnzlJ6ersmTJ2vv3r1MPUdY2+9qOhh+DgQgz8fiyjqVVtUftwtJavnrOzku5oStMzHRFuWkHWyROTTMdElP8GuLAfyn2W3onXW79dSSrSrcVydJyk6N172j83Tl2dmynqClpb6xWav/s0/Lt5Vr2dY9+ra02ufxhNhoDe2eofPzMnV+z47qnplIsPWzjbudevPLQr2zvtjn/+mw0zM0cXCuxve1m9K962pq1quf79LsT77zjsfqn5uqh8f31tDTM4Jez7GERdg51n+aF154QT//+c8lHVxU8C9/+YvPooKeQcySVF9frwcffFCvvfaaz6KCJzsOh7CDcNTY7Faps94nAB0ejDwDKaWWwZFdMxK9IaZr+sFA0zklPmSbz3FiDU1uvfFlof708Tb9UNXSGtM9M1H5Y3vq0kOm/hqGoa0/1Gj5tj1aunWPVu3Y5/MzYrFIfR0pLeEmr6PO7poa9oPow0V9Y7MWfvOD3vyyUCu+K/cOvE6Ks+qyAQ5NHJyrftkpAQ+bbrehd7/arScWblVRRUuA7t4xUQ9d1Csk93ALi7ATKgg7iESGYXjXrMlKttHl0A7UNzbr5X/v1DOffuftBu1tT9I15+Rq4+4qLd+2R2WHLbCYlWzTBXkddX7Pjhp+ekZIDzJtL4oqavXWmt16c02hN3BILf+WVw/O1RUDs5Xu50HNhmHo0617NOODb70tfFnJNuWP6amrB+WcsJXQLISdViDsAIgkNa4m/W3FDj23bLuqD9vMNC4mSkO6tXRNXdCzo/I6dQi5v9bRwu029O/te/XGl4X6YGOpdzuRmGiLxp6ZpasH5+qCvI6n3Cq7bleFHv/gW32xY5+kltakX4w6Xf81rJvfN+70N8JOKxB2AESiiv0Nmrt8u9btqlD/3FRdkNdRg7qmMcU/DDlrG/XeV7v1xpdF2rDb6T1uT/YMas5R14zEVj3nd2U1+sNHW7wLV8Zao/TzYafpzlGnh01LMGGnFQg7AIBw8U1xld5cU6gF63ar8pBZm0O6pWvi4Fz9uF/n47bIlDrr9cclW/XGl0VqdhuKskg/PTtH943tKUdqfDAuwW8IO61A2AEAhBtXU7MWf1OmN74s1LJte7yDmjvYrPpJf4cmDs7RgNxUbzels65Rzy79Xi98tsO7zteYM7L00Phe6hmmm80SdlqBsAMACGfFlXV6a02R3lhT6F2GQJJ6ZnXQxMG5chuG/vzJ997p7YO7punhi3tr8GnpZpXsF4SdViDsAAAigdtt6Isd+/TGl4V6f0OJz9ICkpTXqYOmjO+t0Wd0ioiB6YSdViDsAAAiTVV9o/75VbH+saZIdQ3NunVEN115dk5EralF2GkFwg4AAOHnZH9/h+YqQQAAAH5C2AEAABGNsAMAACIaYQcAAEQ0wg4AAIhohB0AABDRCDsAACCiEXYAAEBEI+wAAICIRtgBAAARjbADAAAiGmEHAABENMIOAACIaIQdAAAQ0axmFxAKDMOQ1LJVPAAACA+e39ue3+PHQtiRVF1dLUnKzc01uRIAANBa1dXVSklJOebjFuNEcagdcLvdKi4uVlJSkiwWi9+et6qqSrm5uSosLFRycrLfnjectPfvQXu/fonvQXu/fonvAdcfuOs3DEPV1dVyOByKijr2yBxadiRFRUUpJycnYM+fnJzcLn/AD9Xevwft/folvgft/folvgdcf2Cu/3gtOh4MUAYAABGNsAMAACIaYSeAbDabfvOb38hms5ldimna+/egvV+/xPegvV+/xPeA6zf/+hmgDAAAIhotOwAAIKIRdgAAQEQj7AAAgIhG2AEAABGNsBNAzzzzjLp166a4uDgNGjRIy5cvN7ukoJg+fbrOOeccJSUlqVOnTrr88su1ZcsWs8sy1fTp02WxWJSfn292KUGze/du3XjjjcrIyFBCQoIGDBigNWvWmF1W0DQ1NelXv/qVunXrpvj4eHXv3l2PPvqo3G632aUFxLJly/STn/xEDodDFotF77zzjs/jhmFo2rRpcjgcio+P16hRo7Rp0yZzig2Q430PGhsbNWXKFPXr10+JiYlyOBz62c9+puLiYvMK9rMT/Qwc6vbbb5fFYtFTTz0VlNoIOwHy+uuvKz8/X1OnTtW6det0/vnn6+KLL9auXbvMLi3gli5dqrvuukuff/65Fi1apKamJo0bN0779+83uzRTrF69WnPnztVZZ51ldilBU1FRoeHDhysmJkYffPCBvvnmGz3xxBNKTU01u7SgmTFjhp599lnNnj1bmzdv1syZM/X73/9ef/rTn8wuLSD279+v/v37a/bs2Ud9fObMmZo1a5Zmz56t1atXy263a+zYsd69CSPB8b4HtbW1Wrt2rX79619r7dq1evvtt7V161ZNmDDBhEoD40Q/Ax7vvPOOvvjiCzkcjiBVJslAQJx77rnGHXfc4XOsd+/exsMPP2xSReYpKyszJBlLly41u5Sgq66uNvLy8oxFixYZI0eONO69916zSwqKKVOmGCNGjDC7DFNdcsklxi233OJz7MorrzRuvPFGkyoKHknGggULvPfdbrdht9uNxx9/3Husvr7eSElJMZ599lkTKgy8w78HR7Nq1SpDkrFz587gFBVEx7r+oqIiIzs729i4caPRtWtX48knnwxKPbTsBEBDQ4PWrFmjcePG+RwfN26cVq5caVJV5nE6nZKk9PR0kysJvrvuukuXXHKJxowZY3YpQfXee+9p8ODBuvrqq9WpUycNHDhQzz33nNllBdWIESO0ZMkSbd26VZL01VdfacWKFfrxj39scmXBt2PHDpWWlvq8J9psNo0cObJdvid6OJ1OWSyWdtPi6Xa7ddNNN+nBBx9Unz59gvrabAQaAOXl5WpublZWVpbP8aysLJWWlppUlTkMw9D999+vESNGqG/fvmaXE1Tz58/X2rVrtXr1arNLCbrt27drzpw5uv/++/XLX/5Sq1at0j333CObzaaf/exnZpcXFFOmTJHT6VTv3r0VHR2t5uZmPfbYY7ruuuvMLi3oPO97R3tP3Llzpxklma6+vl4PP/ywrr/++nazOeiMGTNktVp1zz33BP21CTsBZLFYfO4bhnHEsUh399136+uvv9aKFSvMLiWoCgsLde+992rhwoWKi4szu5ygc7vdGjx4sAoKCiRJAwcO1KZNmzRnzpx2E3Zef/11vfLKK3rttdfUp08frV+/Xvn5+XI4HLr55pvNLs8UvCe2aGxs1LXXXiu3261nnnnG7HKCYs2aNfrjH/+otWvXmvJvTjdWAGRmZio6OvqIVpyysrIj/rKJZJMmTdJ7772nTz75RDk5OWaXE1Rr1qxRWVmZBg0aJKvVKqvVqqVLl+rpp5+W1WpVc3Oz2SUGVOfOnXXmmWf6HDvjjDPaxQB9jwcffFAPP/ywrr32WvXr10833XST7rvvPk2fPt3s0oLObrdLUrt/T5Rags7EiRO1Y8cOLVq0qN206ixfvlxlZWXq0qWL9z1x586deuCBB3TaaacF/PUJOwEQGxurQYMGadGiRT7HFy1apGHDhplUVfAYhqG7775bb7/9tj7++GN169bN7JKCbvTo0dqwYYPWr1/vvQ0ePFg33HCD1q9fr+joaLNLDKjhw4cfsdzA1q1b1bVrV5MqCr7a2lpFRfm+xUZHR0fs1PPj6datm+x2u897YkNDg5YuXdou3hM9PEFn27ZtWrx4sTIyMswuKWhuuukmff311z7viQ6HQw8++KA++uijgL8+3VgBcv/99+umm27S4MGDNXToUM2dO1e7du3SHXfcYXZpAXfXXXfptdde07vvvqukpCTvX3MpKSmKj483ubrgSEpKOmKMUmJiojIyMtrF2KX77rtPw4YNU0FBgSZOnKhVq1Zp7ty5mjt3rtmlBc1PfvITPfbYY+rSpYv69OmjdevWadasWbrlllvMLi0gampq9N1333nv79ixQ+vXr1d6erq6dOmi/Px8FRQUKC8vT3l5eSooKFBCQoKuv/56E6v2r+N9DxwOh6666iqtXbtW//rXv9Tc3Ox9b0xPT1dsbKxZZfvNiX4GDg93MTExstvt6tWrV+CLC8qcr3bqz3/+s9G1a1cjNjbWOPvss9vN1GtJR7298MILZpdmqvY09dwwDOOf//yn0bdvX8Nmsxm9e/c25s6da3ZJQVVVVWXce++9RpcuXYy4uDije/fuxtSpUw2Xy2V2aQHxySefHPX//c0332wYRsv089/85jeG3W43bDabccEFFxgbNmwwt2g/O973YMeOHcd8b/zkk0/MLt0vTvQzcLhgTj23GIZhBD5SAQAAmIMxOwAAIKIRdgAAQEQj7AAAgIhG2AEAABGNsAMAACIaYQcAAEQ0wg4AAIhohB0AABDRCDsAcBQWi0XvvPOO2WUA8APCDoCQ8/Of/1wWi+WI2/jx480uDUAYYiNQACFp/PjxeuGFF3yO2Ww2k6oBEM5o2QEQkmw2m+x2u88tLS1NUksX05w5c3TxxRcrPj5e3bp105tvvunz9Rs2bNCFF16o+Ph4ZWRk6LbbblNNTY3POX/729/Up08f2Ww2de7cWXfffbfP4+Xl5briiiuUkJCgvLw8vffee4G9aAABQdgBEJZ+/etf66c//am++uor3Xjjjbruuuu0efNmSVJtba3Gjx+vtLQ0rV69Wm+++aYWL17sE2bmzJmju+66S7fddps2bNig9957Tz169PB5jd/+9reaOHGivv76a/34xz/WDTfcoH379gX1OgH4QVD2VgeAVrj55puN6OhoIzEx0ef26KOPGoZhGJKMO+64w+drhgwZYvziF78wDMMw5s6da6SlpRk1NTXex//v//7PiIqKMkpLSw3DMAyHw2FMnTr1mDVIMn71q19579fU1BgWi8X44IMP/HadAIKDMTsAQtKPfvQjzZkzx+dYenq69/OhQ4f6PDZ06FCtX79ekrR582b1799fiYmJ3seHDx8ut9utLVu2yGKxqLi4WKNHjz5uDWeddZb388TERCUlJamsrKytlwTAJIQdACEpMTHxiG6lE7FYLJIkwzC8nx/tnPj4+JN6vpiYmCO+1u12t6omAOZjzA6AsPT5558fcb93796SpDPPPFPr16/X/v37vY9/9tlnioqKUs+ePZWUlKTTTjtNS5YsCWrNAMxByw6AkORyuVRaWupzzGq1KjMzU5L05ptvavDgwRoxYoReffVVrVq1Ss8//7wk6YYbbtBvfvMb3XzzzZo2bZr27NmjSZMm6aabblJWVpYkadq0abrjjjvUqVMnXXzxxaqurtZnn32mSZMmBfdCAQQcYQdASPrwww/VuXNnn2O9evXSt99+K6llptT8+fN15513ym6369VXX9WZZ54pSUpISNBHH32ke++9V+ecc44SEhL005/+VLNmzfI+180336z6+no9+eSTmjx5sjIzM3XVVVcF7wIBBI3FMAzD7CIAoDUsFosWLFigyy+/3OxSAIQBxuwAAICIRtgBAAARjTE7AMIOve8AWoOWHQAAENEIOwAAIKIRdgAAQEQj7AAAgIhG2AEAABGNsAMAACIaYQcAAEQ0wg4AAIho/x9MaGw9P/YrQAAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def sample_batch(X, batch_size):\n", + " idx = np.random.randint(0, len(X), batch_size)\n", + " sample_X = X[idx]\n", + " sample_Y = Y[idx]\n", + " return sample_X, sample_Y\n", + " \n", + "\n", + "lr = 0.001 #Learning Rate\n", + "w_init = np.random.rand(1, 3) #Initial prediction \n", + "w = w_init\n", + "num_epochs = 15\n", + "loss_lis = []\n", + "batch_size = 64\n", + "start = time.time()\n", + "for epoch in range(num_epochs):\n", + " net_loss = 0\n", + " for i in range(len(X) // batch_size):\n", + " x, y = sample_batch(X, batch_size) #Sample Batch from dataset\n", + " \n", + " probs = sigmoid(np.dot(x, w.T)).reshape(-1) # Apply sigmoid function to get probabilities\n", + " \n", + " loss = -(np.log(probs).dot(y) + np.log(1 - probs).dot(1 - y)) # Calculate loss\n", + " \n", + " grads = x.T.dot(probs - y) # Calculate gradient\n", + " \n", + " w -= lr * grads # Update weights\n", + " \n", + " net_loss += loss\n", + " loss_lis.append(net_loss)\n", + "print(f\"Time taken for {num_epochs} epochs :\", round(time.time() - start, 3), 's')\n", + "plt.plot(loss_lis)\n", + "plt.xlabel(\"Epoch\")\n", + "plt.ylabel(\"Loss\")\n", + "print(\"Predicted params (W1, W2, Bias) : \", (w[0][0], w[0][1], w[0][2]))" + ] + }, + { + "cell_type": "markdown", + "id": "7ce26f3a", + "metadata": {}, + "source": [ + "### Fisher scoring (Newton’s method)" + ] + }, + { + "cell_type": "code", + "execution_count": 358, + "id": "aebed416", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Time taken for 3000 epochs : 0.157 s\n", + "Predicted params (W1, W2, Bias) : (0.5419531901220592, -0.49088511105320853, 0.2822355886580812)\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "w = np.random.rand(1, 3)\n", + "num_epochs = 3000\n", + "loss_lis = []\n", + "start = time.time()\n", + "for epoch in range(num_epochs):\n", + " \n", + " probs = sigmoid(np.dot(X, w.T)).reshape(-1) # Apply sigmoid function to get probabilities\n", + " \n", + " loss = -(np.log(probs).dot(Y) + np.log(1 - probs).dot(1 - Y)) # Calculate loss\n", + "\n", + " grads = X.T.dot(probs - Y) # Calculate gradient\n", + " \n", + " hessian = (X.T * probs * (1 - probs)).dot(X) #Calculate Hessian\n", + " \n", + " w -= lr * np.linalg.inv(hessian).dot(grads) # Update weights\n", + " \n", + " loss_lis.append(loss)\n", + "print(f\"Time taken for {num_epochs} epochs :\", round(time.time() - start, 3), 's')\n", + "print(\"Predicted params (W1, W2, Bias) : \", (w[0][0], w[0][1], w[0][2]))\n", + "plt.plot(loss_lis)\n", + "plt.ylabel(\"Loss\")\n", + "plt.xlabel(\"Epoch\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "dd416537", + "metadata": {}, + "source": [ + "As we can see Batch Gradient Descent converges in just few epochs while Fisher scoring takes thousands of epochs to converge also for apples to apples comparison if we consider the complete dataset as a single batch in gradient descent (because adding batches slows it down) it turns out to be almost 2x faster than Fisher scoring method while achieving convergence wayy before. " + ] + }, + { + "cell_type": "markdown", + "id": "4472db37", + "metadata": {}, + "source": [ + "## Q2" + ] + }, + { + "cell_type": "code", + "execution_count": 274, + "id": "91ab0fcc", + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.linear_model import LinearRegression\n", + "from sklearn.metrics import mean_squared_error\n", + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 275, + "id": "1b21d2f9", + "metadata": {}, + "outputs": [], + "source": [ + "train_A = pd.read_csv('train_set_A.csv')\n", + "test_A = pd.read_csv('test_set_A.csv')\n", + "train_B = pd.read_csv('train_set_B.csv')\n", + "test_B = pd.read_csv('test_set_B.csv')\n", + "train_C = pd.read_csv('train_set_C.csv')\n", + "test_C = pd.read_csv('test_set_C.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": 276, + "id": "b5ba0f6d", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Set A\n", + "Test MSE : 22.25770734371434\n" + ] + } + ], + "source": [ + "#Set A\n", + "model_A = LinearRegression()\n", + "y_A = np.array(train_A['y']).reshape(-1, 1)\n", + "x_A = np.array(train_A['x']).reshape(-1, 1)\n", + "model_A.fit(x_A, y_A)\n", + "preds_A = model_A.predict(np.array(test_A['x']).reshape(-1, 1))\n", + "print(\"Set A\")\n", + "print(\"Test MSE : \", mean_squared_error(preds_A, np.array(test_A['y']).reshape(-1, 1)))" + ] + }, + { + "cell_type": "code", + "execution_count": 277, + "id": "10902225", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Set B\n", + "Test MSE : 1.9577195262268569e-25\n" + ] + } + ], + "source": [ + "#Set B\n", + "model_B = LinearRegression()\n", + "y_B = np.array(train_B['y']).reshape(-1, 1)\n", + "x_B = np.array(train_B['x']).reshape(-1, 1)\n", + "model_B.fit(x_B, y_B)\n", + "preds_B = model_B.predict(np.array(test_B['x']).reshape(-1, 1))\n", + "print(\"Set B\")\n", + "print(\"Test MSE : \", mean_squared_error(preds_B, np.array(test_B['y']).reshape(-1, 1)))" + ] + }, + { + "cell_type": "code", + "execution_count": 278, + "id": "aa6b6960", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Set C\n", + "Test MSE : 5.699794881410673\n" + ] + } + ], + "source": [ + "#Set C\n", + "model_C = LinearRegression()\n", + "y_C = np.array(train_C['y']).reshape(-1, 1)\n", + "x_C = np.array(train_C['x']).reshape(-1, 1)\n", + "model_C.fit(x_C, y_C)\n", + "preds_C = model_C.predict(np.array(test_C['x']).reshape(-1, 1))\n", + "print(\"Set C\")\n", + "print(\"Test MSE : \", mean_squared_error(preds_C, np.array(test_C['y']).reshape(-1, 1)))" + ] + }, + { + "cell_type": "markdown", + "id": "b33d7812", + "metadata": {}, + "source": [ + "## Distribution of 3 Datasets" + ] + }, + { + "cell_type": "code", + "execution_count": 279, + "id": "ddffc400", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Train Mean : -1.1694716306465126e-13\n", + "Train var : 0.06215692531922187\n", + "Test var : 16.147303073527276\n" + ] + } + ], + "source": [ + "#Set A\n", + "fig, ax = plt.subplots(nrows = 1, ncols = 2, figsize = (15, 5))\n", + "ax[0].hist((y_A - model_A.predict(x_A)), bins = 100, color = 'red') \n", + "ax[0].set_title(\"Error distribution of train set A\")\n", + "ax[1].hist((np.array(test_A['y']).reshape(-1, 1) - preds_A), bins = 100, color = 'blue')\n", + "ax[1].set_title(\"Error distribution of test set A\")\n", + "plt.show()\n", + "#As we can see the train set is normally distributed while test set is exponentially distributed\n", + "mu = (y_A - model_A.predict(x_A)).mean() # ≈ 0\n", + "print(\"Train Mean : \" ,mu)\n", + "var = (y_A - model_A.predict(x_A)).var() # ≈ 0.062\n", + "print(\"Train var : \", var)\n", + "#Train ~ N(0, 0.06)\n", + "\n", + "#Test set follows exponential distribution with some bias added \n", + "test_var = (np.array(test_A['y']).reshape(-1, 1) - preds_A).var()\n", + "print(\"Test var : \", test_var)\n", + "#since test_var = 1 / λ^2 \n", + "# We can say Test ~ Exponential(0.25) with some bias" + ] + }, + { + "cell_type": "code", + "execution_count": 280, + "id": "caa31abc", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#Set B\n", + "fig, ax = plt.subplots(nrows = 1, ncols = 2, figsize = (15, 5))\n", + "ax[0].hist((y_B - model_B.predict(x_B)), bins = 100, color = 'red') \n", + "ax[0].set_title(\"Error distribution of train set B\")\n", + "ax[1].hist((np.array(test_B['y']).reshape(-1, 1) - preds_B), bins = 100, color = 'blue')\n", + "ax[1].set_title(\"Error distribution of test set B\")\n", + "plt.show()\n", + "#Both the distributions look almost same" + ] + }, + { + "cell_type": "code", + "execution_count": 282, + "id": "4398d6d9", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Train var : 15.791529244378367\n", + "Test Mean : -2.374281984877448\n", + "Test var : 0.06257993769707847\n" + ] + } + ], + "source": [ + "#Set C\n", + "fig, ax = plt.subplots(nrows = 1, ncols = 2, figsize = (15, 5))\n", + "ax[0].hist((y_C - model_C.predict(x_C)), bins = 100, color = 'red') \n", + "ax[0].set_title(\"Error distribution of train set C\")\n", + "ax[1].hist((np.array(test_C['y']).reshape(-1, 1) - preds_C), bins = 100, color = 'blue')\n", + "ax[1].set_title(\"Error distribution of test set C\")\n", + "plt.show()\n", + "#As we can see the train set is exponentialy distributed and test set is normally distributed\n", + "\n", + "var_train = (y_C - model_C.predict(x_C)).var() \n", + "print(\"Train var : \" ,var_train)\n", + "mu_test = (np.array(test_C['y']).reshape(-1, 1) - preds_C).mean()\n", + "print(\"Test Mean : \", mu_test)\n", + "var_test = (np.array(test_C['y']).reshape(-1, 1) - preds_C).var()\n", + "print(\"Test var : \", var_test)\n", + "\n", + "#since train_var = 1 / λ^2 \n", + "#we can say train ~ Exponential(0.25)\n", + "#And test ~ Normal(-2.3, 0.06)" + ] + }, + { + "cell_type": "markdown", + "id": "69a4a53b", + "metadata": {}, + "source": [ + "###### Conclusion : Since train and test distribution of set B almost match each other and set B giving least loss on test set we can say B is from actual distribution\n" + ] + }, + { + "cell_type": "markdown", + "id": "458a34e1", + "metadata": {}, + "source": [ + "## Q4\n", + "\n", + "For each of parts, indicate whether we would generally expect the performance of a flexible statistical learning method to be better or worse than an inflexible method. Justify your answer using concepts covered during the lecture and try to hit upon certain key-terms. Also, discuss the bias and variance tradeoff in each scenario. \n", + "a. The sample size n is extremely large, and the number of predictors p is small. \n", + "b. The number of predictors p is extremely large, and the number of observations n is small. \n", + "c. The relationship between the predictors and response is highly non-linear." + ] + }, + { + "cell_type": "markdown", + "id": "ee3a71ba", + "metadata": {}, + "source": [ + "### Answer : \n", + "a. If n is extremely large and p is small then a flexible model will give better results as there are many examlpes in training set which makes chances of overfitting less thus both bias and variance will be optimal. And it will be hard for non flexible model to fit the data due to less number of predictors resulting in more bias and less variance. \n", + "b. If n is small and p is very large a flexible mode will just overfit the data resulting in high variance and less bias thus here a non flexible model will perform better as the number of predictors are also high having optimal bias and variance. \n", + "c. If the relationship is non linear then a flexible model will perform better as the model will have to cpture that non linearity which will be hard for a non flexible model. Again the flexible model might have optimal bias and variance (depends upon dataset) but the non flexible model will have low variance and high bias. 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{}, + "outputs": [], + "source": [ + "mu_mle = data.mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 170, + "id": "45f52f9c", + "metadata": {}, + "outputs": [], + "source": [ + "sigma_mle = (((data - data.mean()) ** 2).mean()) ** 0.5" + ] + }, + { + "cell_type": "code", + "execution_count": 171, + "id": "83a1b5a0", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Estimated 𝜇 : 1.9706399225581466\n", + "Estimated 𝜎 : 3.9397474357257147\n" + ] + } + ], + "source": [ + "print(\"Estimated 𝜇 :\", mu_mle)\n", + "print(\"Estimated 𝜎 :\", sigma_mle )" + ] + }, + { + "cell_type": "markdown", + "id": "004c4c0e", + "metadata": {}, + "source": [ + "## Q4 \n", + "Suppose you have a dataset of binary classification, and you want to estimate the parameters of a logistic regression model using MAP estimation with a Gaussian prior on the model parameters. How would you formulate the likelihood, prior, and posterior distributions, and how would you find the MAP estimate of the model parameters in Python?" + ] + }, + { + "cell_type": "markdown", + "id": "9ca49429", + "metadata": {}, + "source": [ + "#### Answer :\n", + "\n", + "Let $\\theta$ be model parameters and $x$ be sample data then we can say : $$p(\\theta | x) = \\frac{p(x | \\theta) \\cdot p(\\theta)}{p(x)}$$\n", + "where : \n", + "$$\n", + "p(\\theta | x) : Posterior\n", + "$$\n", + "$$\n", + "p(x | \\theta) : Likelihood \n", + "$$\n", + "$$\n", + "p(\\theta) : Prior \n", + "$$\n", + "\n", + "In the case of Logistic Regression the likelihood function will be : $$p(x | \\theta) = \\prod_{i=1}^{n} \\left[ \\sigma(\\theta^T x_i) \\right]^{y_i} \\left[ 1 - \\sigma(\\theta^T x_i) \\right]^{1 - y_i}\n", + "$$\n", + "(Since the data follows Bernoulli Distribution) \n", + "(Here $\\sigma$ represnets Sigmoid function and $n$ will be batch size)\n", + "\n", + "Given that $\\theta \\sim \\mathcal{N}(x; \\mu, \\sigma^2) $ \n", + "We can say : \n", + "$$p(\\theta) = \\prod_{i=1}^{m} \\frac{1}{{\\sigma \\sqrt{2\\pi}}} e^{-\\frac{(\\theta_i - \\mu)^2}{2\\sigma^2}}$$\n", + "\n", + "As $p(x)$ does not depend upon $\\theta$ we can say \n", + "\n", + "$$\n", + "p(\\theta|x) \\propto p(x|\\theta)p(\\theta)\n", + "$$ \n", + "\n", + "\n", + "\n", + "also we don't want to find the exact the value of $p(\\theta|x)$ we just want to find the value of $\\theta$ where its value will be maximum. \n", + "To make things easier we can also say since log function is monotonic:\n", + "\n", + "\n", + "$$\n", + "\\log{p(\\theta|x)} \\propto \\log{p(x |\\theta)} + \\log{p(\\theta)}\n", + "$$\n", + "\n", + "\n", + "$$\n", + "\\log{p(\\theta | x)} \\propto \\sum_{i=1}^{n} [y_i \\log{\\sigma(\\theta^T x_i)} + (1 - y_i)\\log{\\sigma(\\theta^T x_i)}] + \\sum_{i=1}^{m}-\\frac{(\\theta_i - \\mu)^2}{2\\sigma^2} + const.\n", + "$$\n", + "\n", + "Now our goal in MAP is to maximize $p(\\theta | x)$ be varying $\\theta$\n", + "or we can say to minimize $-\\log{p(\\theta | x)}$\n", + "\n", + "The expression becomes\n", + "$$\n", + "\\mathcal{L}(\\theta, x, y) = -\\sum_{i=1}^{n} [y_i \\log{\\sigma(\\theta^T x_i)} + (1 - y_i)\\log{\\sigma(\\theta^T x_i)}] + \\sum_{i=1}^{m}[\\frac{\\theta_i^2}{2\\sigma^2} - \\frac{\\theta_i\\mu}{\\sigma^2}] + const.\n", + "$$ \n", + "since we need to minimize it we can consider it as our new loss function for optimizing the parameters of the model \n", + "Then we can use batch gradient descent to optimize $\\theta$ by first calculating loss for a batch then calculating gradient of loss wrt. $\\theta$ i.e. $\\frac{\\partial\\mathcal{L}}{\\partial \\theta}$ and optimizing them by the following equation :\n", + "$$\n", + "\\theta_{t+1} = \\theta_{t} - {\\eta \\frac{\\partial\\mathcal{L}}{\\partial \\theta}}\n", + "$$ \n", + "where $\\eta$ is a hyperparameter and at time step $t$ for multiple such time steps" + ] + }, + { + "cell_type": "markdown", + "id": "6641ec40", + "metadata": {}, + "source": [ + "### Q6" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "id": "3eb355a6", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from scipy import stats\n", + "import pandas as pd\n", + "from tqdm import tqdm" + ] + }, + { + "cell_type": "markdown", + "id": "0b67a6d3", + "metadata": {}, + "source": [ + "### Strategy Used to estimate parameters \n", + "We will be using Bayes Theorem to calculate $P(D_1|x)$ and $P(D_2|x)$ which means probability that data belongs to $D_1$ given x and similar for $D_2$. Then we can use it to calculate mean for $D_1$ that is $E(x | D1)$ or mean of x assuming they belong to $D_1$ similar for $D_2$ and update the values of $u_1$ and $u_2$ with new means. Similarly we can calculate variance of $x$ assuming that they belong to $D_1$ and take its sqrt() to get sigma1 and similary get $sigma_2$ from $D_2$. For $r$ that is the fraction of samples from $D_1$ we need to calculate $E(D_1|x)$ that is the expected value of posterior of $D_1$ conditioned on $x$. " + ] + }, + { + "cell_type": "code", + "execution_count": 156, + "id": "a5a7c1d9", + "metadata": {}, + "outputs": [], + "source": [ + "u1, u2, sigma1, sigma2, r = -1, 1, 0.5, 1, 0.5 #Assume Initial Random Values" + ] + }, + { + "cell_type": "code", + "execution_count": 161, + "id": "89eb24ef", + "metadata": {}, + "outputs": [], + "source": [ + "#Bayes Theorem\n", + "def P_D1_x(x, u1, u2, sigma1, sigma2, r): #P(D1|x) = P(x|D1) * P(D1) / (P(x|D1) * P(D1) + P(x|D2) * P(D2))\n", + " pdf1 = stats.norm(u1, sigma1)\n", + " pdf2 = stats.norm(u2, sigma2)\n", + " return r * pdf1.pdf(x) / (r * pdf1.pdf(x) + (1 - r) * pdf2.pdf(x))\n", + "\n", + "def P_D2_x(x, u1, u2, sigma1, sigma2, r): #P(D2|x) = P(x|D2) * P(D2) / (P(x|D1) * P(D1) + P(x|D2) * P(D2))\n", + " pdf1 = stats.norm(u1, sigma1)\n", + " pdf2 = stats.norm(u2, sigma2)\n", + " return (1 - r) * pdf2.pdf(x) / (r * pdf1.pdf(x) + (1 - r) * pdf2.pdf(x))" + ] + }, + { + "cell_type": "code", + "execution_count": 158, + "id": "816a03a9", + "metadata": {}, + "outputs": [], + "source": [ + "data = pd.read_csv('dataset.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": 159, + "id": "b1cfdbd9", + "metadata": {}, + "outputs": [], + "source": [ + "x = np.array(data)" + ] + }, + { + "cell_type": "code", + "execution_count": 160, + "id": "b4263021", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "

" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#Given data distribution\n", + "plt.hist(x, bins = 100)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 162, + "id": "9d122ac7", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|███████████████████████████████████████████████████████| 30/30 [00:05<00:00, 5.21it/s]\n" + ] + } + ], + "source": [ + "for i in tqdm(range(30)):\n", + " p_d1_x = P_D1_x(x, u1, u2, sigma1, sigma2, r).reshape(-1) # P(D1 | x = x1, x2, x3, x4 ...)\n", + " p_d2_x = P_D2_x(x, u1, u2, sigma1, sigma2, r).reshape(-1) # P(D2 | x = x1, x2, x3, x4 ...)\n", + " \n", + " u1 = p_d1_x.dot(x) / sum(p_d1_x) # mu1 = E(x | D1) \n", + " u2 = p_d2_x.dot(x) / sum(p_d2_x) # mu2 = E(x | D2)\n", + " \n", + " sigma1 = (p_d1_x.dot((x - u1)**2)/(sum(p_d1_x))) ** 0.5 # sigma1 = sqrt(Var(x | D1))\n", + " sigma2 = (p_d2_x.dot((x - u2)**2)/(sum(p_d2_x))) ** 0.5 # sigma2 = sqrt(Var(x | D2))\n", + " \n", + " r = (p_d1_x).mean() # E(D1 | x) " + ] + }, + { + "cell_type": "code", + "execution_count": 163, + "id": "fc0a122c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#Predicted PDF\n", + "xs = np.linspace(-20, 25, 1000)\n", + "def pdf(u1, sigma1, u2, sigma2, r, x):\n", + " pdf1 = stats.norm(u1, sigma1)\n", + " pdf2 = stats.norm(u2, sigma2)\n", + " return pdf1.pdf(x) * r + pdf2.pdf(x) * ( 1 - r)\n", + "\n", + "plt.plot(xs, pdf(u1, sigma1, u2, sigma2, r, xs), color = 'blue')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "0c971cb6", + "metadata": {}, + "source": [ + "#### iv. \n", + "If both D1 and D2 distributions are given then we can employ similar strategy used in the above problem wherein instead of estimating u1, sigma1, u2, sigma2 we will just estimate the value of r that is the probability a data point belongs to D1, thus r = n(D1) / (n(D1) + n(D2)) so ratio of n(D1) : n(D2) will be just r / (1 - r)" + ] + } + ], + "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": "3.10.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/assMath/ass2a/Parth_Assignment2A/Assignment 2A.ipynb b/assMath/ass2a/Parth_Assignment2A/Assignment 2A.ipynb new file mode 100644 index 0000000..e2e816c --- /dev/null +++ b/assMath/ass2a/Parth_Assignment2A/Assignment 2A.ipynb @@ -0,0 +1,369 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "ae752274", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n" + ] + }, + { + "cell_type": "markdown", + "id": "5792f24f", + "metadata": {}, + "source": [ + "## Q3\n", + "Suppose you have a dataset of observations following a Gaussian distribution with an unknown mean and variance. How would you use MLE to estimate the parameters of the Gaussian distribution in Python?" + ] + }, + { + "cell_type": "markdown", + "id": "efa38df4", + "metadata": {}, + "source": [ + "#### Normal Distribution : $f(x) = \\frac{1}{{\\sigma \\sqrt{2\\pi}}} e^{-\\frac{(x - \\mu)^2}{2\\sigma^2}}$\n", + "#### $\\hat{\\mu}_{\\text{MLE}} = \\frac{1}{n} \\sum_{i=1}^{n} x_i$\n", + "#### $\\hat{\\sigma}_{\\text{MLE}} = \\sqrt{\\frac{1}{n} \\sum_{i=1}^{n} (x_i - \\bar{x})^2}$" + ] + }, + { + "cell_type": "code", + "execution_count": 165, + "id": "991ea9fc", + "metadata": {}, + "outputs": [], + "source": [ + "data = np.random.normal(2, 4, 1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 168, + "id": "5f905f45", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.hist(data, bins = 100)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 169, + "id": "2b76ceca", + "metadata": {}, + "outputs": [], + "source": [ + "mu_mle = data.mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 170, + "id": "45f52f9c", + "metadata": {}, + "outputs": [], + "source": [ + "sigma_mle = (((data - data.mean()) ** 2).mean()) ** 0.5" + ] + }, + { + "cell_type": "code", + "execution_count": 171, + "id": "83a1b5a0", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Estimated 𝜇 : 1.9706399225581466\n", + "Estimated 𝜎 : 3.9397474357257147\n" + ] + } + ], + "source": [ + "print(\"Estimated 𝜇 :\", mu_mle)\n", + "print(\"Estimated 𝜎 :\", sigma_mle )" + ] + }, + { + "cell_type": "markdown", + "id": "004c4c0e", + "metadata": {}, + "source": [ + "## Q4 \n", + "Suppose you have a dataset of binary classification, and you want to estimate the parameters of a logistic regression model using MAP estimation with a Gaussian prior on the model parameters. How would you formulate the likelihood, prior, and posterior distributions, and how would you find the MAP estimate of the model parameters in Python?" + ] + }, + { + "cell_type": "markdown", + "id": "9ca49429", + "metadata": {}, + "source": [ + "#### Answer :\n", + "\n", + "Let $\\theta$ be model parameters and $x$ be sample data then we can say : $$p(\\theta | x) = \\frac{p(x | \\theta) \\cdot p(\\theta)}{p(x)}$$\n", + "where : \n", + "$$\n", + "p(\\theta | x) : Posterior\n", + "$$\n", + "$$\n", + "p(x | \\theta) : Likelihood \n", + "$$\n", + "$$\n", + "p(\\theta) : Prior \n", + "$$\n", + "\n", + "In the case of Logistic Regression the likelihood function will be : $$p(x | \\theta) = \\prod_{i=1}^{n} \\left[ \\sigma(\\theta^T x_i) \\right]^{y_i} \\left[ 1 - \\sigma(\\theta^T x_i) \\right]^{1 - y_i}\n", + "$$\n", + "(Since the data follows Bernoulli Distribution) \n", + "(Here $\\sigma$ represnets Sigmoid function and $n$ will be batch size)\n", + "\n", + "Given that $\\theta \\sim \\mathcal{N}(x; \\mu, \\sigma^2) $ \n", + "We can say : \n", + "$$p(\\theta) = \\prod_{i=1}^{m} \\frac{1}{{\\sigma \\sqrt{2\\pi}}} e^{-\\frac{(\\theta_i - \\mu)^2}{2\\sigma^2}}$$\n", + "\n", + "As $p(x)$ does not depend upon $\\theta$ we can say \n", + "\n", + "$$\n", + "p(\\theta|x) \\propto p(x|\\theta)p(\\theta)\n", + "$$ \n", + "\n", + "\n", + "\n", + "also we don't want to find the exact the value of $p(\\theta|x)$ we just want to find the value of $\\theta$ where its value will be maximum. \n", + "To make things easier we can also say since log function is monotonic:\n", + "\n", + "\n", + "$$\n", + "\\log{p(\\theta|x)} \\propto \\log{p(x |\\theta)} + \\log{p(\\theta)}\n", + "$$\n", + "\n", + "\n", + "$$\n", + "\\log{p(\\theta | x)} \\propto \\sum_{i=1}^{n} [y_i \\log{\\sigma(\\theta^T x_i)} + (1 - y_i)\\log{\\sigma(\\theta^T x_i)}] + \\sum_{i=1}^{m}-\\frac{(\\theta_i - \\mu)^2}{2\\sigma^2} + const.\n", + "$$\n", + "\n", + "Now our goal in MAP is to maximize $p(\\theta | x)$ be varying $\\theta$\n", + "or we can say to minimize $-\\log{p(\\theta | x)}$\n", + "\n", + "The expression becomes\n", + "$$\n", + "\\mathcal{L}(\\theta, x, y) = -\\sum_{i=1}^{n} [y_i \\log{\\sigma(\\theta^T x_i)} + (1 - y_i)\\log{\\sigma(\\theta^T x_i)}] + \\sum_{i=1}^{m}[\\frac{\\theta_i^2}{2\\sigma^2} - \\frac{\\theta_i\\mu}{\\sigma^2}] + const.\n", + "$$ \n", + "since we need to minimize it we can consider it as our new loss function for optimizing the parameters of the model \n", + "Then we can use batch gradient descent to optimize $\\theta$ by first calculating loss for a batch then calculating gradient of loss wrt. $\\theta$ i.e. $\\frac{\\partial\\mathcal{L}}{\\partial \\theta}$ and optimizing them by the following equation :\n", + "$$\n", + "\\theta_{t+1} = \\theta_{t} - {\\eta \\frac{\\partial\\mathcal{L}}{\\partial \\theta}}\n", + "$$ \n", + "where $\\eta$ is a hyperparameter and at time step $t$ for multiple such time steps" + ] + }, + { + "cell_type": "markdown", + "id": "6641ec40", + "metadata": {}, + "source": [ + "### Q6" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "id": "3eb355a6", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from scipy import stats\n", + "import pandas as pd\n", + "from tqdm import tqdm" + ] + }, + { + "cell_type": "markdown", + "id": "0b67a6d3", + "metadata": {}, + "source": [ + "### Strategy Used to estimate parameters \n", + "We will be using Bayes Theorem to calculate $P(D_1|x)$ and $P(D_2|x)$ which means probability that data belongs to $D_1$ given x and similar for $D_2$. Then we can use it to calculate mean for $D_1$ that is $E(x | D1)$ or mean of x assuming they belong to $D_1$ similar for $D_2$ and update the values of $u_1$ and $u_2$ with new means. Similarly we can calculate variance of $x$ assuming that they belong to $D_1$ and take its sqrt() to get sigma1 and similary get $sigma_2$ from $D_2$. For $r$ that is the fraction of samples from $D_1$ we need to calculate $E(D_1|x)$ that is the expected value of posterior of $D_1$ conditioned on $x$. " + ] + }, + { + "cell_type": "code", + "execution_count": 156, + "id": "a5a7c1d9", + "metadata": {}, + "outputs": [], + "source": [ + "u1, u2, sigma1, sigma2, r = -1, 1, 0.5, 1, 0.5 #Assume Initial Random Values" + ] + }, + { + "cell_type": "code", + "execution_count": 161, + "id": "89eb24ef", + "metadata": {}, + "outputs": [], + "source": [ + "#Bayes Theorem\n", + "def P_D1_x(x, u1, u2, sigma1, sigma2, r): #P(D1|x) = P(x|D1) * P(D1) / (P(x|D1) * P(D1) + P(x|D2) * P(D2))\n", + " pdf1 = stats.norm(u1, sigma1)\n", + " pdf2 = stats.norm(u2, sigma2)\n", + " return r * pdf1.pdf(x) / (r * pdf1.pdf(x) + (1 - r) * pdf2.pdf(x))\n", + "\n", + "def P_D2_x(x, u1, u2, sigma1, sigma2, r): #P(D2|x) = P(x|D2) * P(D2) / (P(x|D1) * P(D1) + P(x|D2) * P(D2))\n", + " pdf1 = stats.norm(u1, sigma1)\n", + " pdf2 = stats.norm(u2, sigma2)\n", + " return (1 - r) * pdf2.pdf(x) / (r * pdf1.pdf(x) + (1 - r) * pdf2.pdf(x))" + ] + }, + { + "cell_type": "code", + "execution_count": 158, + "id": "816a03a9", + "metadata": {}, + "outputs": [], + "source": [ + "data = pd.read_csv('dataset.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": 159, + "id": "b1cfdbd9", + "metadata": {}, + "outputs": [], + "source": [ + "x = np.array(data)" + ] + }, + { + "cell_type": "code", + "execution_count": 160, + "id": "b4263021", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#Given data distribution\n", + "plt.hist(x, bins = 100)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 162, + "id": "9d122ac7", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|███████████████████████████████████████████████████████| 30/30 [00:05<00:00, 5.21it/s]\n" + ] + } + ], + "source": [ + "for i in tqdm(range(30)):\n", + " p_d1_x = P_D1_x(x, u1, u2, sigma1, sigma2, r).reshape(-1) # P(D1 | x = x1, x2, x3, x4 ...)\n", + " p_d2_x = P_D2_x(x, u1, u2, sigma1, sigma2, r).reshape(-1) # P(D2 | x = x1, x2, x3, x4 ...)\n", + " \n", + " u1 = p_d1_x.dot(x) / sum(p_d1_x) # mu1 = E(x | D1) \n", + " u2 = p_d2_x.dot(x) / sum(p_d2_x) # mu2 = E(x | D2)\n", + " \n", + " sigma1 = (p_d1_x.dot((x - u1)**2)/(sum(p_d1_x))) ** 0.5 # sigma1 = sqrt(Var(x | D1))\n", + " sigma2 = (p_d2_x.dot((x - u2)**2)/(sum(p_d2_x))) ** 0.5 # sigma2 = sqrt(Var(x | D2))\n", + " \n", + " r = (p_d1_x).mean() # E(D1 | x) " + ] + }, + { + "cell_type": "code", + "execution_count": 163, + "id": "fc0a122c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#Predicted PDF\n", + "xs = np.linspace(-20, 25, 1000)\n", + "def pdf(u1, sigma1, u2, sigma2, r, x):\n", + " pdf1 = stats.norm(u1, sigma1)\n", + " pdf2 = stats.norm(u2, sigma2)\n", + " return pdf1.pdf(x) * r + pdf2.pdf(x) * ( 1 - r)\n", + "\n", + "plt.plot(xs, pdf(u1, sigma1, u2, sigma2, r, xs), color = 'blue')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "0c971cb6", + "metadata": {}, + "source": [ + "#### iv. \n", + "If both D1 and D2 distributions are given then we can employ similar strategy used in the above problem wherein instead of estimating u1, sigma1, u2, sigma2 we will just estimate the value of r that is the probability a data point belongs to D1, thus r = n(D1) / (n(D1) + n(D2)) so ratio of n(D1) : n(D2) will be just r / (1 - r)" + ] + } + ], + "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": "3.10.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/assMath/ass2a/Parth_Assignment2A/Assignment2A.pdf b/assMath/ass2a/Parth_Assignment2A/Assignment2A.pdf new file mode 100644 index 0000000000000000000000000000000000000000..5ed784400fb585fa3f29fec4794cfe249d6c8932 GIT binary patch literal 2426690 zcmc$`1wd3=`!~9W0R~2zLFujmk?sa*X#_+OC8WE%%%M|7q+0=%R8){gr4f{p6e$H% zKtQ}}2#=okocI5I_kQ=@(ao;4*Ix0g=lMOgIrL7d@(G?0M{?9WFD*d|G7B)fS~?(Q zWRUzu{%$tR{K^--E;_l|BKh?$+S+(B3xNU#NI5yAjf*w5Aol#v2lmP#`L*n=J(ZAKNH$NGe`0(yL!8LF^m3ItMG5N>Up?Ydt2FfFw3Z_sHzGGh)4Hjahzf&a?76srfRMmn_r%1&HBeR@TogMAHo^V!du73O?DKo&vCo5ZA?&&G z!8NeQ)-5I?2gbnO%gN^O&Df{JM8VyIw~1j(VQT}mU~3Zwe}u)sQ;ObRcCLRl82b{? 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