{ "cells": [ { "cell_type": "markdown", "id": "71f088bb61873142", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "# Tutorial 8: Kinked Chromatin with Sterics\n", "\n", "In `tutorial_7`, we saw how to simulate a kinked chromatin fiber. The tutorial neglected steric interactions between nucleosomes. In this demonstration, we will add the consideration of steric interactions in our predictions. Descriptions in this notebook will relate to the introduction of steric interactions in the model." ] }, { "cell_type": "markdown", "id": "2254b3501d388d9f", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "|\n", "\n", "#### Important Consideration\n", "\n", "As before, we do not model long-range interactions between bound reader proteins, and we treat the chromatin fiber as a homopolymer, as in [Wakim and Spakowitz _PNAS_ (2024)](https://www.pnas.org/doi/10.1073/pnas.2317911121)." ] }, { "cell_type": "markdown", "id": "ac35beb61b3b348f", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "|\n", "\n", "#### Import Modules\n", "\n", "Instead of the `DetailedChromatin` class, we will import the `DetailedChromatinWithSterics` class from the `polymers` module to account for steric interactions." ] }, { "cell_type": "code", "execution_count": 1, "id": "226c87f21cf8c4f5", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T22:17:09.775752Z", "start_time": "2024-07-03T22:17:08.829236Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# Built-in modules\n", "import os\n", "import sys\n", "\n", "# Third-party modules\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "\n", "# Custom modules\n", "from chromo.binders import get_by_name, make_binder_collection\n", "from chromo.polymers import DetailedChromatinWithSterics # This class captures DNA wrapping and nucleosome sterics\n", "from chromo.fields import NullField\n", "import chromo.mc as mc\n", "import chromo.mc.mc_controller as ctrl\n", "from chromo.util.reproducibility import get_unique_subfolder_name" ] }, { "cell_type": "markdown", "id": "231ef3bee14a17e1", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "|\n", "\n", "#### Specify Binders" ] }, { "cell_type": "code", "execution_count": 2, "id": "a2d61031f086e9a6", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T22:17:10.777106Z", "start_time": "2024-07-03T22:17:10.771102Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# Initialize a null binder to serve as a placeholder\n", "null_binder = get_by_name(\"null_reader\")\n", "\n", "# Create a binder collection (required to run a simulation)\n", "binder_collection = make_binder_collection([null_binder])" ] }, { "cell_type": "markdown", "id": "848d7da73a8d8547", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "|\n", "\n", "#### Initialize the Polymer\n", "\n", "In this case, we will instantiate the `DetailedChromatinWithSterics` class, which has a method for evaluating steric interactions between nucleosomes." ] }, { "cell_type": "code", "execution_count": 3, "id": "fadc00fe557e50d", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T22:17:11.671146Z", "start_time": "2024-07-03T22:17:11.668755Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# Specify the number of beads along the chromatin fiber\n", "num_beads = 100\n", "\n", "# Specify the spacing between adjacent beads\n", "bead_spacing = np.ones(num_beads - 1) * 16.5\n", "\n", "# Specify the geometry of DNA wrapping around the nucleosome\n", "length_bp = 0.332\n", "bp_wrap = 147.\n", "\n", "# Specify the bending and twist persistence lengths\n", "lp = 50\n", "lt = 100" ] }, { "cell_type": "code", "execution_count": 4, "id": "4d0439140a14b67e", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T22:17:12.394944Z", "start_time": "2024-07-03T22:17:12.253053Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "No states defined.\n", "No chemical modifications defined.\n" ] } ], "source": [ "poly = DetailedChromatinWithSterics.straight_line_in_x(\n", " \"Chr\",\n", " bead_spacing,\n", " bp_wrap=bp_wrap,\n", " lp=lp,\n", " lt=lt\n", ")" ] }, { "cell_type": "code", "execution_count": 5, "id": "e5e639ffb08a8596", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T22:17:13.256092Z", "start_time": "2024-07-03T22:17:13.126137Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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yFkiVVCMEDMNgZmYGGxsb6OvrQ21tbdLrAOIIgnyyLhYCqbomCgoKoFKp0NfXB5Zl4fF4uAjC6uoqWJaNKFDMxANBakEglaU3f73ojT1eioEKBEo0VBDcgSTjLZAqqUQIPB4PjEYjAGBoaAjFxcUprQMI2+IoBFLd9PMxEsH/3MhkMhQXF6O4uBgNDQ1gWRYul4tzUczUAyEbgkDKjTUZAXKUQAAQ02aZCoT8hwqCO4xkvQVSJdkIwfb2NsbHx1FXV4eenp6UbzK5mjIA8ndcsBTE+wzKZDKUlpaitLQUTU1NYBgGTqcTNpuNSzWoVKqkPRDysYaATyZtjtECgT/JUSaTUYFwB0AFwR1EKt4CqXKUIAiHw5iensbW1hZOnTqF6urqtNYRUxCQG2E65OPJHci94UZyuRxarRZarTYtD4Q7QRAI1ebIFwgkvUgiCNECgXQxUI43VBDcAfC9BUiRkxgte/Fu7G63G0ajEXK5HJcvX0ZRUVFG6wC5eUrOxWtKF6nNgtL9PKbqgSB1ZX02UgZitDnyow58gTA5OYny8nKUl5dzAoHfxUA5XlBBkOcwDINQKCR4iiCaeBGCzc1NTExMoKmpCZ2dnYLcrHLRnIje/DJDqNcv2gMhGAxyBYrEA0Emk2F+fp4zSRJjIBchH7sa+ALB4/FwXhL8FINcLj9UpEi/I7kPFQR5ihDeAqkQLQjC4TAmJyexu7uLs2fPorKyUrS1coFcFClCkGspg1RRqVQRHgik7iAYDHIeCGVlZVwEQWgPBCnbDvmjlqWC1CzEiyDwBUJ0DQIVCLkHFQR5CGndCofDUKlUkoRJ+Rui0+mEyWSCSqXClStXUhp0k+pauUQ+DTeS+vWV6nkplUqoVCr09vYCODDFIhGEaA8EvV6P0tLSjDZYKdsOyXsmpSAgLct8+BEEck0MwyAQCMDv91OBkMNQQZBnEGU+PT0NlUqF7u5uSdaVy+UIh8NYX1/H1NQUWlpa0N7eLsrNKRcFAb2ZpY/U0w75axUWFqKwsBB1dXVxPRB0Oh1nkpSqB4KUNQQkapZLNQv8GQwAFQi5DhUEeUK0t4BCoZA0rM6yLDY2NuD1etHf38/lcMUgFwUBQNsO0yVXChgTeSDY7XYsLS2l7IEgpdiRek4DWTOVGoxYAoH85/f7EQgEAMT2QaACQXyoIMgDYnkLkBO7FDgcDuzt7UGtVuPKlStQq9WirieGIAgEAhgbG4PL5eKq1mNN5Ut0TflIvhkupbJBx/NAsNvt2N3dTcoDQeoaAiC3IgRHwU9n8ic5EoHAjyDwBzXRSY7iQAXBMYeE3qK9BeRyOae2xYJlWaytrWFmZgaFhYWora0VXQwABzcRIaMfe3t7MBqNKCsrQ1tbG/b397G4uAi3243S0lIYDAau4CzRaSjfTu5SkSsRgqPgeyC0tLQgHA7D4XBw9QexPBCkrCGQusURiF1DkAmJBILP58P+/j48Hg8aGhqgUqnoqGeBoYLgmEJSBKSLIPoLIXYlfjAYxPj4OPb29jAwMID19XXR1oom01HLBJZlsbKygrm5OXR0dKCxsRHBYJAzTfL7/bDZbLDb7ZicnOQKzkgEoaSkhHvN8+1mdFw26WyupVAoIkY4h0IhziRpdXUVExMTAIDV1VVUVlamFHFKB6kFAdmoxWzbjBYIXq8Xe3t7qK+vh8/n434nepIjFQjpQQXBMSQZ+2Exawj29/dhNBpRXFyMK1euoKCgAJubm5LVLAiRMgiFQhgfH4fdbsfg4CB3muOjVqtRW1uL2traiIIzm82G5eXliHwyOc2ITb7e5I6jIIhGqVRyJj3AgWi+fv06AEREnPgtjkqlcLfgbLQcAtJ3NZCaAn4EgWEYTiCQlCkVCKlDBcExI1n7YTEiBNEn6paWlogUxXERBE6nEyMjIygsLOQETTJr8gvOoj319/f3AQBTU1NciiGZv0s5vhGCoyCbfXt7O9RqNfx+P1egGMsDoaysLKPTttQRAv6BRCqiixjjpRgYhoHf74fP56MCIQWoIDgm8O2HgaMdB4XeoEnRndPpxPnz56HT6SL+XcrK/0zW2tjYwOTkJFpbW9He3n7oNUz2JhHtqW+1WjE5OQmlUslZ5paUlHDiQGxHPLE47sZEsdbKVtW/Wq1GTU0NampqAAjvgZANm2QgOxGCeER7rhCBEA6HEQ6H4xYpSm1pnatQQXAMIN4CqXwBhRQEdrsdJpMJZWVluHLlSsw8qJRdDekUFYbDYUxNTWFnZ0eUtkhS+dzZ2QngQECR9AI5DZKbvcFgyMjwRooNNF+NiaSORgDxn1sqHgh6vT6iZiUWUhYwkvWkPmkTs7VkiTfJkbRok39/7rnnoFAo8IEPfECsSz8WUEGQw/AtQFP98gkhCFiWxeLiIhYXF9HV1YWmpqaEPdxSpQxSLSokw5UUCoUozokE/jUVFBSguroa1dXVYFmWOw3abDasra2BZVlOHOj1ehQVFd2xJ5R8jRCk4hyYrAcCXyBEf2byYZDSUYTD4Yy+v/EEwssvvwytVksFQbYvgBKbZAoHE5GpIPD7/RgdHYXX68WFCxeg1WqPXC8XUwbb29sYHx9HfX09uru7RbuBJXpvZDIZioqKUFRUhPr6erAsy/Wzm81mzM/Pc/3sRCBI0b6ZS+RjhCATo6BEHgjkM6NUKg+1OGbbtlhsUjVCOgoiEDweD+rr6wX7u8cVKghyEBIVIF+4dG4omQgCq9WK0dFR6PV69Pf3J1UJnWtFhQzDYHZ2Fuvr6zh58iSXtxWTZEWKTCZDWVkZysrK0NzcjHA4zLWrra2tYXJykhvZSwyShKxGTwWpagik3KRzJWWQCok8ELa2tjAzM8Plwre3tyURlfnge0Bwu90oLi4W/O8eN6ggyCGi7Yczyc+ls0GzLIv5+XksLy+jp6cHDQ0NKbm65UqEwOfzwWg0IhwOY2hoSJIveiY3fYVCwXkbtLe3R4zsnZubg8/n46rRpWpvlDqML+VaUosPMdaL5YGwuLgIi8VySFSSolahPRCEPq0nw1FFhelCBcEBVBDkCJmmCKJJVRD4fD6Mjo7C7/fj0qVLKC0tFXW9TEhUr2CxWGAymVBdXY3e3l7JblhCCqLokb38anSr1YpQKASTyZT2wJ1cI1/bDqX0BVAqlSgsLERpaSlOnTqFYDCIvb092O120TwQshEhEEuEuN1ulJSUCP53jxtUEOQAyXoLpEIqG7TZbMbY2BgqKipw7ty5tG4UUkYIYtUr8KMbvb29aGhokORapIBfjU7yx3q9PqLYjNQeGAwG0Yom84F8TU9Er6dSqVBZWYnKykoAEMUDIRs1BGKmDKggoIIgq6TqLZAKyQgChmEwNzeH1dVVnDhxIqOimmzWEAQCAZhMJni93rSiG2Jck5jryOVyNDU1ccVmDocDNpuNyyVrNBpOIOj1+oxCxflWQ5CvawGJT+xieCBkq4ZA6AgBafmkgoAKgqwR7S0gdK7xqA3a6/XCZDIhFAphaGgo4y9DtgSB3W6H0WiETqfD5cuXs1Z8B2RnuBFpRSNGUaFQCHt7e7DZbFhaWsL4+HhKA5qyRT5u0tmwEk52vUQeCGtra2AY5kgPhGzUEIi1psvlooIAVBBIDt9bgNycxLhBkbB6rJvE7u4uxsbGUFNTg56eHkG+YFL6EJC1lpeXMTc3h87OTjQ3N2c1j54rOXylUomKigrOeImEim02G6amphAMBrkBTeQkGOvaaVFh5mTLKChVkvFAkMlkES2ORUVFeddlQAUBFQSSEl04KKZdJvnS8L+0DMNgZmYGGxsb6OvrQ21traDrSXVjZ1kWm5ubCIfD3GCiXCAXxx/zQ8WxBjSRGz0RCIWFhZKLm3w9tUsdIRBqvWQ9EIj1r9frRWFhoQDPIDHkgENTBuJBBYFECOEtkArkS0NO7R6PB0ajEQBEacWTKmXgcDhgsVigUqlw+fLlnBkgJNWGlsk68QY02e127OzsYHZ2Fmq1misyy3S9VK9NCvI5QhAOh0VJmUV7IDAMg/39fSwuLsLr9eLVV1/lPjfkPzE8EMj9RWhB4PV6wTAMFQSggkB0iLfAwsICKisrJbOo5UcFpHDrk6Kobn19HVNTUyguLkZ5eXnOiAFCLkYIEhHL7Ia0qq2vrwMA3njjDc4jQawBTfmaMjiuEYKjIGO/iblWa2vrIWOtoqKiCIEghAcCiawK/Rl0u90AQAUBqCAQFX6KYGVlBSUlJZKZX5Cb3szMDMxmM06dOoXq6mrR1hMzQhAOhzE5OQmz2Yz+/n7s7u6Ksk4m5EoNQSYoFAqUl5ejvLwcjY2NeOWVV9Dc3BzRqibUgKZoaIRAmPWkti5WqVRQKpXc5wZAhAcCKWwtKSmJMElKJ5LBT7UKicvlgkKhoO26oIJANKK9BaRymCO4XC7u/16+fBlFRUWiridWUaHb7cbIyAiUSiUuX74MjUYDs9mcs6dxKTYcKZ97VVUVV3/Ab1XjD2giAiHd6Fe+tgJmo+0wFwRItAcCmfzJd96MNklK5tRPWg6Ffo4ejwfFxcWSF0jmIlQQCAzfW4CE8GQyGRQKhWTjgTc3NzExMQG5XI6+vj7RxQAgTlEhSXU0NDSgq6uL+8JKaYKULPkQIUhErAFNLpcLNpsNFosFCwsLUCqVEQZJyeaR8zWMn+/TB5Mt8ONP/gQOcvYkgjA5OZm0B4KYLYfUtvgAKggEhGEYhEKhmPbDUhTdhUIhTE1NYXd3F2fPnsX4+Lio6/ER8vnxuyFipTqkbHFMFalPhWKTaNw1qUSPHtDEr/VIdkBTPp7ac8mYKJfWIx4ItbW1MSNP8TwQ6GAj8aGCQACS8RYQO0LgdDphMpmgUqlw5coVaDSanJtAmAxerxdGoxEMw8RNdcjlcgSDwYzXEpJ8EgFA6mmJWAOaiEHS/Pw8vF5vhFWuVquNmEkvFfkajQCyU0OQ6XqxIk9utzumB4JKpeLuM0K+h0QQ5Nt3OB2oIMiQaPvheN4CcrlcFEHAsiw2NjYwNTWFlpYWtLe3c19SKQWBEGuZzWaMjo4eOZgoF1MGBLGv67jctKLzyD6fDzabDXa7HRsbGxGnwEAgIEkfO5DfRYX5IEBkMhlKSkpQUlKCxsZGMAzDpaZ2dnbg9XrxyiuvRHQwZPrZoRGCt6CCIAP43gLEYz4eCoVC8M05FAphYmICVqsV/f39nDsdQWpBwLJsWjdc/mCiZGYq5KIgOC4bdaoI9bw0Gg3q6uo4q1y3280JBJvNBplMBr/fL/qAJqkFwXHfoI9aT2zrYrlczrU3qtVqbG5uoq2tDXa7nZvdkakHAnUpfAsqCNKAeAuEQqGkJxQKHSFwOBwwGo0oLCzElStXYn4JpE4ZAKnfcP1+P0ZHR1MaTCSmIMh0s8g1oZIuYj4P/imwqakJk5OTAA5EgxgDmvjkew1BPtcsEOMl8pkgPyMFiul6INCiwreggiBFou2Hk3UdFCpCwLIs1tbWMDMzg7a2NrS1tcVdX+oIAZDaTYIMJtLr9ejv70+6N1nMokKyEaZ6Y5U6NJxvFBYWorW1FYC4A5ryXRActxqCVIgVkeB7ZwDpeSBQ2+K3oI2XKcAwDPx+P0KhEJciSPYLL0SEIBgMwmg0YmFhAQMDA2hvb0+4vlh1C7Eg15HMRs2yLJaWlnDr1i20tbXhzJkzKRmV5HLKINeu67jA/xyTAU1dXV24ePEirly5gsbGRvj9fkxNTeH69esYGRnBysoKHA5HSq85TRkIu56U0w6TESCkdoV8du666y6uC2Zubg7Xr1/HrVu3sLCwAKPRCJfLlVENwVNPPYWWlhZoNBpcvHgRr7/+esLff/bZZ9HT0wONRoNTp07hJz/5Sdzf/e3f/m3IZDI8+eSTaV1bOtAIQRKQFAHpIkhnFoFCoeAKD9Nhb28PJpMJJSUluHLlSlK2vdmIEBx1cw4GgxgbG4PD4cD58+e5sb2prpWrG2+uXlc6SHmSTkSiAU0rKysAkPSAJtplcHzXI8ZEqRDtgeDz+bgOht///d/H8PAw2tvbUVFRgVdeeQUXLlxIOj31wx/+EE888QSefvppXLx4EU8++SSuXr2KmZkZVFVVHfr9Gzdu4OGHH8aXvvQlvOtd78IzzzyDhx56CMPDwzh58mTE7/7f//t/8eqrr6Kuri6l55spNEJwBCRFQNrc0h1MlO5pnZym33jjDTQ1NeHcuXNJe/hno4Yg0XoOhwM3btzgWgrTEQNkrVzbePO1qFAqkn39yICmhoYGnD59GnfddRfOnDmD0tJS7Ozs4LXXXsPNmzcxNTWFnZ0dBAKBiMfTLgPhyIWUQapoNBrU1tbixIkT+Ld/+ze89NJLaGxshN1ux0MPPQS9Xo8HH3wQ3/72t4/8W1/72tfw0Y9+FI888ghOnDiBp59+GkVFRfjOd74T8/e//vWv44EHHsCnPvUp9Pb24k//9E9x7tw5fOtb34r4vY2NDXzsYx/D97//fcFqZ5KFRggSEG0/nMmXO50agkAggLGxMTidzrRO02J0NsSDtFvG2qhZlsX6+jqmp6ePrHtIdq1cEwSEfGk7PC7eAIkGNK2srGBiYoLLIRsMBkk3aamjEVKe2ElHUTZmJwiFXC7HqVOnoNFo8OEPfxif/OQnMT4+jhdeeAE2my3hYwOBAG7fvo3PfOYzEX/v/vvvx82bN2M+5ubNm3jiiScifnb16lU899xz3P9mGAYf+MAH8KlPfQp9fX3pP7k0oYIgBtHeAkKMK041QmC322EymaDVanHlypW0vghSRgjirRcKhTA5OQmLxYJz585xxT+ZIFZRYaYihZIeQoqP6CIzvo/+zMwMfD4fFhYW4HQ6BR/QFI3UGzQAydYTaxRxIsR0KiwpKYFcLsfp06dx+vTpIx9jsVgQDocPuahWV1djeno65mO2t7dj/v729jb3v7/yla9AqVTi4x//eBrPJHOoIIiCeAuQD7xQH8BkT+ssy2JxcRGLi4vo6upCU1NTRqenbAoCl8sFo9EIlUrFDSYSgju97VCq07uUIkestaJzyDdu3IBer4fb7RZ0QFMspE5PANK9Z0LfH5NdUwwBkis+BLdv38bXv/51DA8PZ+2AQQXBm/Dth4VIEUSTjHUxvyf/woUL0Gq1Ga0ptSDgb9RbW1sYHx9HU1MTOjs7Bb1x5GJRIY0QpI+UG6dMJkNlZSX0en3EgCar1ZrRgKZYSD1ICZBug+a3XUtFOkWFyZCOIKioqIBCocDOzk7Ez3d2dlBTUxPzMTU1NQl///r169jd3UVTUxP37+FwGJ/85Cfx5JNPYnl5OaVrTAcqCJC+t0AqHJUysFqtGB0dTbkn/6g1pfT8l8vlXIpgc3MTZ86ciVltmyliRQhYloXD4UBxcXHar3+uCZV0kbqGQMq1yHc71oAmh8MBm83G2YEXFRVFGCSl8rmQsl5BakEgxqHpKMRIGZCulVQFQUFBAQYGBnDt2jU89NBDAA5ek2vXruGxxx6L+ZihoSFcu3YNn/jEJ7ifPf/88xgaGgIAfOADH8D9998f8ZirV6/iAx/4AB555JGUri9d7nhBwLcfFvMDHi9lwLft7enpQUNDg2DXIHWEgGVZTE5OQqFQxB1MJARiCIJAIIDR0VGumEir1XLDesi0tWSui5IeuVDop1AoIlzw+AOaFhYW4PV6DxkkJdqgpI4QxJujItZ6UkYHgNyKEADAE088gQ996EMYHBzEhQsX8OSTT8LtdnOb9wc/+EHU19fjS1/6EgDg8ccfxz333IOvfvWreOc734kf/OAHuHXrFv7mb/4GACJqXwgqlQo1NTXo7u7O8Fkmxx0rCNKxH86EWBECn8+H0dFR+P3+pG17U11TKkFgNpvh9/tRVlaGs2fPilpsJLQgcDgcGBkZQUlJCS5fvoxgMMj1uS8vL0Mul3Pi4Kgwcr5ECKQkVzsaYg1oIp+Lzc1NhEIh6HQ6TiBEC0epOxry2YOArJlLguD9738/zGYzPv/5z2N7extnz57Fz372M65eZXV1NeI1unz5Mp555hl89rOfxR/+4R+is7MTzz333CEPgmxyRwoCKVIE0URHCMhkv8rKSpw7d06QFEE0UggClmUxNzeHlZUVaDQaNDY2il55LGSXwcbGBiYnJ9HW1obW1lYEg0GoVCqu151hmENh5OLiYk4c6HQ67vlKcfPPh0K/aI6LnTDpYa+trY0Y00ssluVyeYRBUj67IkrtQUDWFPrewjBMRtbFjz32WNwUwYsvvnjoZ+973/vwvve9L+m/L0XdAJ87ThCQMGBRUREUCoVkX1gSIWAYBnNzc1hdXU1qsl+ma4opCPx+P0wmE/x+P4aGhjA6OirJaU+IokKGYTA9PY2trS2cPXsWlZWVMf+mXC6HTqeDTqdDW1tbRPRgZmYGfr+fOyWSwtR8QOpIx3EQBHxijeklwpEMaCIhfJKKENNkJt9tiwFxRIjH4wHLsjnRZZAL3DGCgHgLeL1e3LhxA/fdd5+kpy0SIXj99dcRCoUwNDQk+odQTEFgs9lgMplgMBi4CIdUKYpMUwY+nw9GoxEMw2BoaCilWgeVSoWqqipUVVWBZVl4vV7YbDbYbDawLIvh4WGUl5cnlV5Il3xLS+RqyiAV+MIROPDfeOONNyCXyyMGNJEIQiYDmmKR75MOidgWWoS43W4AoILgTe4IQcBvJyQfKKlPcqRYrbi4GCdOnJBEXYuxQRMr5YWFBXR3d6OxsTGiajvXBYHNZoPRaERlZWXG74NMJkNRURGKiorQ0NCAF198EZ2dnfB6vUemFyhvcVxSBqmgVCqhUChQX1+PiooK+P1+LrI0NTWFYDAIrVbLCYTS0tKMrivfUwbEGVEMQaBSqUQR7seRvBYEfG8BciNQKpWQyWSSTQFkGAYzMzNYX18HAPT09Ei2KQg97ZA/mCiWT4JU/gDpCAKWZbGysoK5ublDQkYo5HI5SktLUVtbe2R6IZXuhWyRy9eWLtmaZZBoQNPq6iqA5Ac0xVsrn4sKxfI9cLvdgppRHXfyVhBEFw7yW3KSMQkSAo/HA6PRCOCgB/Xll18W3I87EUJGCPb392E0GrlK/FgDlqRKGaQqPEKhECYmJmCz2dKesJgM0UIlUXoh1e4F/hpSkA9h/Fjr5MK0QzKgiV+4SgySdnZ2MDs7C7VaHeGgeNRAs3yvIRDLKtnlcqU9+jgfyUtBcJS3gBSCYHt7G+Pj46ivr0d3dzd3HVKmKoQYbsSyLNbW1jAzM4P29na0trbGvaFKWUOQ7DputxsjIyOcffJRm65YpkfR6YVUuhfuBKQSBFKtBSSf15fL5SgrK0NZWdmhAU2rq6uYnJyMGNCk1WoPdSXdCRECMbrBSMshjRAckFeCIFlvATEFQTgc5qrXT506FTHMQqrIBCHTDZqcrK1Wa1KDiaSaQpjsOru7uxgdHUVDQwO6urpEv4Gl8vyT7V7Q6/UoLy/P65uWlBECQNooSzqfuVgDmohBEvlsRNcf5PvoYzEHG9EIwVvkjSBIxVtArI3Z5XLBZDJBLpfjypUrKCwsjPj3bA8bSgWXy4WRkREUFBQkPZgoV7oM+O6PJ0+eRG1trejXxF87HRKlF1ZWVrj0gkajybvhRlI9n1yNEBxFQUEB99kAwH027HY71tfXwTAM9/2UKieeLykKKggiyQtBEA6HUxpKpFAouNHGQrG5uYmJiYmEw3yOS4SAPJfm5mZ0dHQk/cWXOkIQ62RJLIg9Ho8o7o9HXZdQfydeesFsNiMQCOC1116L8Ng/7umFfI0QiLFWYWEh6uvrUV9fzw1oWlxchMPhwBtvvCHogKZ4SF1DIKZtMRUEb3GsBQHxFgiFQlzILJkvoJAbcygUwtTUFHZ3dzmDm3gIXfV/FKkKAoZhMDU1he3t7bQGE0kZIYgFsSAuLS3F0NCQZMWbfMQQRPz0Qnl5OUZHR9Ha2gqbzYbZ2VkuhEzqDzJtYQPyc7jRcUkZpAIZ0ETqCnp6egQd0BQPhmFEcVeNh1gpA5fLRT0IeBxbQcAwDEKhUFr2w0IJAqfTCZPJBJVKhStXrhwZVheiyC8VyAadzEkluiMincFEUhVNkhsD/5TCtyBua2vLSr5dyhG+/BCyx+M5lF4gp0OSZsh18jFCIPW0Q7lcLviApniEw+EjOx+ERKwIQSa2xfnIsRMEsbwFUv3SZSoIWJbl1HdLSwva29uT+lJlI0IAHB263N3dxdjYGGpra9HT05O2EpfShwB467NAohr9/f2oqKgQff1EiP38Y72P0ekFp9MJq9WKzc1NzMzMoLCwkBMHqaQXjntoPdY6gLTiQ+pxxNFkOqAp0XpStx2KlTIQayrrceRYCQJ+igBAWmIAyEwQpFp5H72u1BECIP7Ngj9Xoa+vD3V1dRmvFwwGM/obyUDec6/Xi/HxcbAsm3ZUQ4zryiZyuRxarRZarZbrXiAnRLHSC5kiZcpAqhHB5Huea+mJVAc0RRdGE7LRdiiWIEiU5r3TODaCgO8tIJPJMvowpisIHA4HjEYjCgsLceXKlZSLdbIVIYglQnw+H0wmE4LBoGBzFaQsKgSA119/HVVVVZJZQSdDrs0ZiD4h8h3yEqUX8tWYSOrOCSkjBKnm9OMNaLLb7dyAJo1GEyEQSF1OvrQdulwutLW1Cf53jys5LwiS9RZIBYVCgUAgkNI1rK6uYnZ2NqMcdTYjBHysVitMJhPKy8sxMDAgWHGQVOOWV1ZWAACtra0JjZKkJleuIxEkvVBfX8+lF/gT+kh6Qcr2RqmQ2rYYOF71Cvzi1dbWVoRCIc4gKXpAUyr3TyEQK0Lg9XqzHlnMJXJaEKTiLZAKqUQIgsEgxsfHsbe3h4GBARgMhrTXlTpCQMKj5ObEsiwWFxexuLgoip+/2IIgFApx7wUA1NbWinLDzWTjkGITFWoNfnqBbAAkerC2toZgMIjh4WHR0ws0QpA5YoTwlUolKioquLocMqDJbrfD4/FgZmYGOzs7gg1oSoRYNQS0yyCSnBUEDMMgEAgIFhXgk6wg2Nvbg8lkQklJCa5cuZJxVa3UEQLgrU06EAhgbGwMLpcr5mAiIRAzZUAsiAsKCjA0NIQXX3wx506wxyFCkAilUsmlF2pqajA2Nobq6mpuAI9MJhOteyHfBEE2IgRiiw/+gKb9/X00NTWBYRjOYhlAxPyFVAc0JUKsGTBut1tSr5JcJ+cEAUkRkC4CMfyrjxIELMtieXkZ8/Pz6OjoQEtLiyDXIHWEgKy5v7+Pubk5lJWV4fLly6L154sVIdjZ2cHY2BgaGxs50yep6hVSJRevKR3I5kkMcBKlF8jshXRTT/kaIcjn2QIMw6CwsBB6vR4NDQ1gWZb7fJjNZszNzaGgoCDCICmTA1U4HBalfdbj8VBjIh45JQjEShFEk0gQkJO00+kUfDKeQqGQpAqfQNz8JiYm0NnZKZiwiYfQgoBlWczNzWFlZQWnTp1CTU0N92+5KAik2GyyFYVIlF6Ym5uDz+dLu3tB6i4DKZDSg4Csl00BIpPJDg1o2t/f59JP/AFNer0+ZQEpRsqAdFnQlMFb5JQgCAaDCIVCogkBglKpjCkI7HY7TCYTtFotrly5IvhJWqFQwOfzCfo340Hy7eFwGN3d3WhpaRF9TSE36UAgAJPJBJ/PF7MLIlcFQa5dk1jw0wsAImYvkPAxf7TzUae7fIwQSCkIshGRSLRBKxQK7r0HIgc0kfbXsrKyCAGZ6PrFHG5EBcFb5JQgIO2EYn+RoiME/GK7rq4uNDU1iXINUln7Op1OGI1GqNVqFBYWShYSE+r57e/vY2RkBFqtFkNDQzFPElKPkr7TSHVD4/vrp5peyMcIwZ2QMkhlvWQGNPHrD6IHNInpQ0AFwVvknCCQ4gvLFwR+vx+jo6Pwer2iFdvFWlcs+IOJOjs7cfPmTck2TiFOyOvr65iamkJ7e3vClkKpXBFT4U6KECQi1fSCVOF1mjIQBuIQmsl6sQY02e12WK1WLCwsQKlURvgfiJEyCIfD8Hq9VBDwyDlBIAVkY7ZarRgdHYVer0d/f7/owzrEjBCEw2FMT09je3s7YsiSlCOXM1mLYRhMTk5iZ2cnKQtiMTbf49IlcNxEx1HpBYZhMD8/j8rKSq46XQzyPUIgdQeFUBs0GdBUWlrKdS6Q+gNiES+TybC5uQkAgg1ocrvdAEAFAY+cEgRSIZfLEQqFMDw8jJ6eHjQ0NEgemRASMphIJpPh8uXLETdUKQVBumF8r9cLo9EIlmUPXX+itcTYGDP5HNAIQXJEnw5ffPFFFBUVYXt7G7Ozs4J1L0RDIwTCrQWI57FA3DP5A5pu3rwJuVwu6IAmKggOc8cJAp/Ph7GxMQAQPUUQjRhth7u7uxgdHUVdXV3MwURSRwhS3RCJa2JVVRV6e3tTGryTi5tvLl5TukjVNSGTydDQ0ICioqKY6QV+8VlZWVlGplH5HCHIF0EQjUqlgkwmQ0tLC0pLSwUb0OR2u6FWq7MyJj1XySlBIPaX1Ww2Y3R0FBUVFdjb25PcslJIYyL+YKKTJ0+itrY25u/lasqA7/XQ09ODxsbGlNbKxaLCfGo7zNYsg0TphbW1NQCIMEdKJb1AIwTCQObJSPn8+EWFQg1oIpMOj0uqUApyShCIBX/zPHHiBOrq6rC1tSWa+1U8hIoQpDKYKBcjBHwL4nS9HnKxqBDIrwiBVCR6zaLTC2S0M0kvaDSaiNHOidILUm7S+dx2KPXo40RFjLEGNEV3uMQb0ORyuagpURTSxbSyhNfrxeuvvw6z2YyhoSHU19dz7Y1SuwYKESGwWq24ceMGCgsLcenSpSPzX7lWQ+ByuXDz5k0Eg0Fcvnw5beOnXK0hyCekfD7JrEXMb1pbWzEwMIC3ve1t6OjogEwmw8LCAq5fv47bt29jaWkJ+/v7hz4fUkcI8jllIPWkQyC5IkbS4cL/jHR2dkKhUGBpaQnXr1/Ht7/9bXz84x/Hq6++mnYK6qmnnkJLSws0Gg0uXryI119/PeHvP/vss+jp6YFGo8GpU6fwk5/8hPu3YDCIP/iDP8CpU6dQXFyMuro6fPCDH+SKKKUkpyIEQn9Zd3Z2MD4+jpqaGvT09ER8oKRoAYwmExHC90pIpRAyl1IGsSyI00UsQZDp36QRgtQgr1c63/1Y6QX+cCYgMr2Qr8ZExJFUypSB1GIHSK+rIdaApkAggOvXr+Nf/uVfYLfbcd999+H+++/H/fffj3Pnzh25zg9/+EM88cQTePrpp3Hx4kU8+eSTuHr1KmZmZjifBT43btzAww8/jC996Ut417vehWeeeQYPPfQQhoeHcfLkSXg8HgwPD+Nzn/sczpw5A7vdjscffxz/6T/9J9y6dSvl55wJOSUIhIJhGMzMzGBjYwN9fX0x8+vZEATpRggCgQBGR0fh8Xhw8eJFlJWVJf3YXIgQsCyL2dlZrK2t4eTJkxEWxJmslWubbz7l96U0CxKKwsJCFBYWoq6uLsJbf2dnB7Ozs1AqlZDL5TCbzYK1rsVD6hA+kF+DlPiQ+7QQz0+tVuOBBx7AAw88gO9+97v4h3/4B7z3ve/Fv//7v+MrX/kKFAoFlpeXEw48+trXvoaPfvSjeOSRRwAATz/9NH784x/jO9/5Dj796U8f+v2vf/3reOCBB/CpT30KAPCnf/qneP755/Gtb30LTz/9NLRaLZ5//vmIx3zrW9/ChQsXsLq6iqampoyfd7LknSAgLXgAcPny5biFg9mKEKRq6rG3twej0YiysjIMDQ2lXPMgZWqEPD/+6YhvQZxMiiNZclEQADRCkC5Cb2bR3vqhUAjz8/Ow2Wxc61oq1rmpkg1fgHytISAFhUK/nh6PB5WVlfjd3/1d/O7v/i7C4TAmJiYSioFAIIDbt2/jM5/5DPczuVyO+++/Hzdv3oz5mJs3b+KJJ56I+NnVq1fx3HPPxV1nf38fMplM0Fk6yZBTgiDTN3xrawsTExOor69Hd3d3wi9ItiIEQHIKm2VZrK6uYnZ2NqOJi8RzQQrIcyKCIBkL4kzWEiPyEQqF0j4B5VsNgRRIJaCUSiWKi4sRCARw+vTpI9MLmZojZSNCkM8pAylsixUKBU6fPp3wMRaLBeFwGNXV1RE/r66uxvT0dMzHbG9vx/z97e3tmL/v8/nwB3/wB3j44YdTigYLQU4JgnThu/SdOnXq0Isfi2wKgnA4nHBzJFX4drsdg4ODnEFHOkidMgAObobEgljI8dHRawm9mZjNZphMJjAMA51Oh/Ly8pi+6okQe4PLtUK/TMmkhiCdtcg6R6UXUuleiEU2IgT5nDIQa7BRrnUZBINB/Nqv/RpYlsW3v/1tydfPOUGQ6o3e5XLBZDJBLpcn7XIHZEcQkC9sonXJYCKNRoPLly9DrVZntKaQ3gdHQb60ExMTMJvNOHfuHMrLy0VZS0hBwPdE6O7uRnFxMfb29jhfdTLXvby8POHmkE8RAqlTH9mcZRArvUAm86WbXsiGCVI+CwKxIgSpCoKKigooFArs7OxE/HxnZydubVRNTU1Sv0/EwMrKCl544QXJowNADgqCVNjY2MDk5CSamppSrlrPliBItEGT59PS0sK1UwmxplSCwO/3AzgQaamIs3QQShCEw2EuGnPhwgUUFRUhHA6jtLQUjY2NCIfDMTcHEj0oLS3l3qdcrWvIZbJlgJSI6Mp0n8+XsjlSPrcBSl1DIGbKIJ6hWzwKCgowMDCAa9eu4aGHHuKu79q1a3jsscdiPmZoaAjXrl3DJz7xCe5nzz//PIaGhrj/TcTA3Nwcfv7zn4t2kDqKYykIQqEQpqamsLu7GzHIJxWyIQiA2EV+4XAYU1NT2NnZSfv5xEOqCIHVauWKOc+ePSuqGACE2Xy9Xi+Gh4ehVCoxNDQEtVp9qN5CoVCgvLwc5eXl6OzshM/ng9Vqhc1mw8rKCuRyORc9yDXnxONELk871Gg0qKurSym9kM+uiFLXEIiZMkinyPmJJ57Ahz70IQwODuLChQt48skn4Xa7ua6DD37wg6ivr8eXvvQlAMDjjz+Oe+65B1/96lfxzne+Ez/4wQ9w69Yt/M3f/A2AAzHwq7/6qxgeHsaPfvQjhMNhrr7AYDCgoKBAoGd8NDknCI660ZOQekFBAa5cuQKNRpPWOtkSBNEbtMfjwcjISMopj2QRu4aAZVksLS1hYWEBvb29mJiYEG0tPplGPoiAqa2tjTkDIh4ajYZzzmMYBg6HA1arFWtra3A6nXC5XAgEAjAYDGkPXTkKqU7V+VxDkC7JphdYloVGo5Hk9J7PJkiAeCkDj8eTVg3B+9//fpjNZnz+85/npsv+7Gc/42rXVldXI16fy5cv45lnnsFnP/tZ/OEf/iE6Ozvx3HPP4eTJkwAOIsP//M//DODgMMXn5z//Od7+9ren9wTTIOcEQTxIodr09DRaWlrQ3t6e0YcyFyIExKgnma6ITNYTSxCEQiGMjY1hf3+fGxQ1OTkpyUk5XetilmWxsrKCubm5tGYoRF+DTqeDTqdDe3s7RkdHoVAo4Pf7MT4+DoZhoNfrufSC2FETITmOPgTJrCX0dyxeemFlZQUulwsvv/xyhG2uGPNTaMogPVwuV9pt0I899ljcFMGLL7546Gfve9/78L73vS/m77e0tORMqvFYCIJQKISJiQlYrVbBCtXIjVtqiBCZnp7G+vq6YEY98RBLELhcLoyMjHDFjySsJdWMgXRSBuFwGJOTk7BYLHG7NzI5QSoUCpSUlKC5uRksy8LlcsFqtXKhZTLWt7y8HDqdTtKbaq5zXCIER0HSCw6HAyqVCpWVlRHpBbVazQlEnU4nyCyVbAgCMU2dohGzqDCR58CdSM4JgugvrMPhgNFoRGFhIa5cuZJx1T1BoVBI1p8fzczMDBQKBYaGhkRvexFDEGxvb2NsbAzNzc3o7OyMeM+kanNMVRD4fD6MjIwAOCjySTfVdBT8EHhpaSlKS0u50DLpe5+ZmUEgEIBWq+U2h+Li4qT9/POJXCwqFAKySR+VXigtLeVEYrrmSFKPWg6Hw5LmtcWqIUg3ZZDP5JwgIPCNedra2tDW1ibol1nKdjyCxWKBy+WCTqfD4OCgJCdEITdoMjVybW0Np0+fjun3IFWlfSrr2O12jIyMoLKyEn19faLdPBN9Pvm++yzLwuv1csWJi4uLUKlUEa2NuTCjPR9rCKTaOGOJj0TdCxsbG1yKiRQoJpteyPcaAjFSBmRsslDOqflCTgqCYDDIjccdGBiAwWAQfA0pawhYlsXCwgKWlpZQXFyM2tpaycLFQgmCQCAAo9GIQCCQ0IJYyghBMuusra1henoa3d3daGxsPHLjIdbL6ZLMY2UyGYqKilBUVMS1Nu7v78NqtWJpaQkTExNc3zs5OeZbZIBPPg4cSmbTjNe9sLu7i7m5OajV6ojuhXgiUeoug2xYF4shkHPRmCjb5Jwg2Nvbw/DwMEpKSnDlyhXRQlNSpQyiBxMtLCxIGpkQYoMm8xR0Oh3OnTuXMH8ole/BUREChmG4Vk6xRGWsa0oHhULB3fiBw33vMpmMK06UqjBRyqLCfBQEqUYjorsXwuEwl2IiIpGkFwwGA8rKyri/n40NOl/aDmkNQSQ5Jwg8Hg+amppEsbvlI0WEwG63w2QycV7+KpVK8u6GTAUBOWEna0EsVVFhoqFNfr8fIyMjYBgGQ0NDklb3C/Hc+SdHhmHgdDphtVqxsbEBh8MBAJifn0d5eblorY1Ska81BJmupVAokk4vSF0cnQ9th6FQCH6/n0YIosg5QVBfXy/JyV3MjZnf2tbZ2Ynm5mbu5iDlbAGyXjrPk5gl7e7uptTZke2iwv39fQwPD6O8vBx9fX2SnpzE2Gzkcjm0Wi20Wi3a2tqwv7+P27dvIxAIYGJiAuFwOK28czJItXkel006FYQO40enF0gHi9lsht1uh1wux/T09JHpBSHIhxoCl8sFADRCEEXOCQKpvrBiFRXye/NjtbZlI0IQPZL4KLxeL0ZGRiCTyXD58uWUKvKzWVRIrJ+jRZiUiP3cVSoVZDIZTpw4wRVGkY1hbm4OGo0moq1NyvawdMjXCIGYm2Z0B8vCwgIcDgcUCsWR6QUhyNb4YyFxu90AQIsKo8jtu4WIiFFD4HQ6MTIygsLCwojefD7pntjThXyRkr0ZWiwWmEwm1NTUoLe3N+UbSTaKChmGwczMDDY3N9Hf38+FWaVGis2Gv4ZMJkNJSQnnfUDa2qxWK+bm5uDz+aDT6bjixGRbGwFpN+p8jBBIuRZwML2xs7MTwEHKjKQXxsbGDnUvFBYWZnRt+VBD4Ha7UVhYSL1AorijBUE4HBbsi0vG/ba2tqK9vT3u31QoFAgEAhmvlyzki3TUl4plWSwuLmJxcRG9vb1oaGhIez0pUwb87oehoSFRnOBSIZuOY9FtbR6Ph9sYlpeXueJFEkHIhdbGfN2kpW5x5K+lVqtRW1uL2tpaLr1gs9m4KFKy3QvxyIcaArfbndJY8zuFO1oQAJmHv4j73e7ublKnU6kjBPxK5HiEQiGMjo7C4XBwFsTpIlXKQC6XIxAI4MaNG0l1PyRLJjeIXLu5kNbGhoYGMAzDtTaurKwcam0sKyvLyxRL9FrHtYbgqLXibdD89EJzc3PE9M6lpSWMj49HjHZOJr2QD9bFLpeLFhTGIOcEgZQ1BEBm6tPtdsNoNEKhUCQ9aElqQyTyesZb0+VyYXh4OGGaIxWkihCQnu2Ojg7BTasyIVc8yaORy+XQ6/VcTQsJK1utVqyvrwMAtymUl5dLunnSCEFmpLJh8qd3AumlF7IRIRAjZVBSUpIz941cIecEgVTwBUE6bG9vY3x8HA0NDejq6kr6Ayt1hEAmk8XdpBNZEGeyntjTFWdnZ7G9vY2ysjK0t7eLtlaqSLnZZEp0WJm0Nm5tbWFmZgYFBQVgWRY2mw06nU60DYBGCIRZK933J9X0glKplFQQsCwrSoSA2hbH5o4VBDKZLK2Kf1LAtrGxkdZgomxYJkcLAoZhMDs7i/X19bgWxJmsJdZNPhgMwmg0wufzobW1levJF5JMUwZSv7dCwDfFaW1tRTAYxNLSEnZ2djA1NYVgMMidGok5klCbHa0hyByhNuhk0gukTc/pdKKgoED050g6pGjKQBpyThBIGcJJ9bTu9XphMpkQDofTHkwkdYSArEk2Kr/fD5PJxBXhCf2lECtlQDo4SkpKMDQ0hK2tLezt7Qm+DuWgtbGsrAxOpxPnzp2D2+2GzWaDxWLBwsICCgoKuMJEcmrMhHwUBMclQpCIWOkFs9kMp9OJ6elpwbsXYkHulWKkDKggOEzOCQIpSSVCYDabMTo6iurqavT29qatWLMZIdjb28PIyAj0er1gRXjRiFFUSFIbLS0t6Ojo4NIgYkUi0r2pSVFQKaVglslkEa2NTU1N3KnRarVyE/u0Wi0XPUg1L5uvKYN8jEao1WpUVlZidnYWV65c4YSi2WzG/Py8KAO6yL1SjC4D6kFwmJwUBFJVqiuVyiMFAcuymJ+fx/LyckbteIRsRAhkMhm2t7exvr4uummPkBEC/msfndqQ6jNypxLvtY0+NXq9Xq44cWVlJWIug8FgOLJIlW7SmSNlTj8cDnOCPJn0AvkcpGuxTQoKhX7faA1BbHJSEEjFURGCQCAAk8kEr9eLS5cuCWJzKXWEIBwOIxgMYmNjQ5IhP0Ll0UOhEEwmE9xud8zXPhcFQS5ek9gUFhaivr4e9fX1XGsjGco0OTmJ0tJSLr0Qr6UtHwWB1CmDbKcnEnUvjI+Pg2EYziSLWGwnc81imSC5XK68jBAsLy+jtbX10M/vuecevPjii0c+/o4WBIlO63a7HUajEXq9Hv39/YKF16W0LvZ4PDAajWBZFj09PZJM/BMiAuJyuTjHRzIUKppc3Xxz8Zqkgt/a2N7ejkAgAKvVyrW0sSwbUZyo0Wgkfb2k2jhJIVw+RgiSrfiP171A6lBIeoH8Fy+9IIYpEXCQMpDifig1jY2N2Nra4v739vY27r//ftx9991JPT4nBUE2UwYsy2J5eRnz8/OihNelShkQC+La2lrIZDLJPO3lcjmCwWDaj9/d3cXo6CgaGxvR1dUV97WXaqpiKkiZ35fitJvp3y8oKDjU2miz2bC9vY3Z2VkUFhaiqKgI4XBYtBs/H6kiBORzme1Tuxikc2JP1L2wvLx8aPYCP70glgmSx+PJywiBQqHgOt98Ph8eeughDA0N4Y//+I+TenxOCgKpiD6tB4NBjI+PY39/H+fPn4dOpxNlzVSHDaUC34L4xIkTqK+vx+uvvy5ZVCLdlAH/uk+ePIna2lpR1hGbfCkqFPp58FsbW1paEAqFYLfbsbGxgUAggOvXr0On03HpBTFsZaUWBPkaIch0rUTpBTLBk6QXAHFexzuhqPAjH/kInE4nnn/++aRfQyoI3twoHQ4HjEYjioqKBHHsiwd/toDQp/ZgMIixsTE4nU5cvHgRZWVl3Jrpbp4/eGMdt1f3cE9XBa60G6AvSvy6pHNyJxMiHQ5HxHUnIhdTBtT1LHmUSiUqKysBHGwIJ0+e5IoTSUiZiAODwSDId0UqQUC+a/kYIRDjxB6dXuC3uZLW4qmpKa7NVYh7c763HX7xi1/Ev/7rv+L1119PqfYtJwWBlPbFoVCIG0zU1tYmug0uf4aCkJA+/aKiIgwNDUV8aTIpZPzx+DZeX97DP49uQy4DzjRocXdnOd7eVYHemtJDr1Wq4sPj8WB4eBgFBQWHrjsRuSgIgDu7hiBd5HI5iouLUVxcjMbGxoiQ8uLiIjd3gQiE0tLDn7tkkCqvL3XKIJ/qFaLbXNfW1rC9vQ2VSsXN4BCie8HlcglSJJ6L/NM//RO+8IUv4Kc//WnKTq45KQikQiaTwWw2Y3NzE+fOneNCWGLCjxAIxdbWFsbHxyP69PlkEl5//N4OvDhrxkuzFszuujGyto+RtX18/YVFVJYW4G0d5binswJX2stRqlGmtFGTOoe6ujp0d3en9MXORUGQbxECKcPrfPgh5c7OTvh8Pq44cXV1FTKZLGLuQrIikqYMMkfq0ccAoNFo0NHRAeAgmmS322OmF1JJNeVr2+H4+Dg++MEP4g/+4A/Q19eH7e1tAAf1PMkUUd6xgsDtdnPVmJcvX05qMJEQJJotkCp8G+UzZ86gqqoq5u9lst5gsw6DzTr8/i91Ymvfh1/MWfDSnBU3F20wOwP4PyNb+D8jW1DKZTjXpMWZSiXai4LoT3Dz5RdukjqHVMlFQQBIFyEQe3PLpeeh0WgiWhsdDgdsNhsX2SspKeGiB4lOjFKmDIipkxTkQtuhWEQLELVajZqaGtTU1ESkF/ipJv7shVhikTwuH2sIbt26BY/Hgy9+8Yv44he/yP38WLcdiv3hJoOJSktLUVBQIJkYIAjRaeD3+2E0GhEMBo+0IBbK+6BWq8H7Bxvw/sEGBEIMbq3Y8Ys5K16cs2DJ4sHry3t4ffngd79ufBl3d1Tg7q5yDLUaUKw++KiFw2GMj4/DbrdnNGpZqqmKqZBvEQKpSOV1k8vl0Ol00Ol0aGtrQyAQOFSQptfrOYFQWFjIPVbKCIGU6YLjXkOQiETdJ7FcNIkPxlHphXytIfjwhz+MD3/4w2k/PicFgVjwT9SnTp3ivLmlJtMNmngkGAwGDAwMHFlwJcbmWaCU43J7OS63l+PTD3RhzebBS3NW/Nv4BobXXdja9+OHtzfww9sbUClkON+sx1BLGcoD26gvVWJoaAhqtTrt9e/0CEG+kOnrVVBQEHFidLlcsFqt2NnZ4VobyYYg1UlayhO71OkJqVMGqY52Ju81cDi9sL+/j2984xu4++67odFo0ooQPPXUU/jzP/9zbG9v48yZM/jmN7+JCxcuxP39Z599Fp/73OewvLyMzs5OfOUrX8E73vEO7t9ZlsUf/dEf4W//9m+xt7eHK1eu4Nvf/jY6OztTvjYhuGMEgdfr5Ux6Ll++jKKiImxsbEhuIwykHyFgWRZra2uYmZlJySNBCu+DRkMRfvNiEe5vVmFmfhGo7sJLsxb8Ys6KNbsXNxZtuLFoO/hdvQb3WJdwd2cFLrbqoVGlfuLIRUEgxSYg9SwDsRHyNM3vd+e3NtpsNszOzoJhGExPT6OyshIGgwHFxcWitf5KeWIH8rNeATgQIOnORIhOL2xubuKuu+7CCy+8ALPZjP/wH/4DHnzwQfzyL/8y7r//flRUVCT8ez/84Q/xxBNP4Omnn8bFixfx5JNP4urVq5iZmYmZrr1x4wYefvhhfOlLX8K73vUuPPPMM3jooYcwPDyMkydPAgD+7M/+DN/4xjfwv/7X/0Jrays+97nP4erVq5icnJQ8cg0A0laHJInQX1Kz2YwbN26gtLQUFy9eRFFREQBpXQP5pBMhCIfDGBsbw/z8PAYGBtDS0pL06yRleF0mk0ElB+7prMDn39mDf/v4EP7uvc14TyuLgfoiqBQyrNl9+N7r63j0+0Zc+PJL+Oj3RvC919awZvOktI4YgmB/fx9LS0uw2Wwpv2a5KFLSRcrnIZbwIK2N3d3dGBoaAgDo9XrY7XbcunULN27cwNTUFHZ3dzMy04pG6pw+kN+CQIgUhUwmQ319PT73uc/h2WefRTgcxtNPP42Kigp8+ctfRnV1NX76058m/Btf+9rX8NGPfhSPPPIITpw4gaeffhpFRUX4zne+E/P3v/71r+OBBx7Apz71KfT29uJP//RPce7cOXzrW98CcPAde/LJJ/HZz34W7373u3H69Gl897vfxebmJp577rmMn3M65HWEgD8cJ1bxWrYEQaondo/Hg5GRESgUirQKIKUUBPy1wuEwJicnEbRa8N/ePQi9Xg+3P4RXl+x4ac6CX8xZsLXvxy/mrPjFnBV/CqC1ogj3dFbg7s5ynG/Wo0AZ++YjhjHR5uYmxsfHYTAYsLW1FZGPJla7FGGRSniQDbqurg4ajYab/kmG8ZB8M3/uQrqbutQ1BIC0gkAq11OyntA1Cy6XCwDwzne+E+9+97vxZ3/2Z9jZ2UmYQggEArh9+zY+85nPcD+Ty+W4//77cfPmzZiPuXnzJp544omIn129epXb7JeWljhrYYJWq8XFixdx8+ZN/Pqv/3q6TzFt8lYQ+P1+jI6OwufzxR1MdBwiBGTscm1tLXp6etL64mdDEPh8PoyMjAAAhoaGuM20WK3EfT2VuK+nEizLYm7XzYmD26v7WLJ4sGRZxT/cXEVRgQJDbQbc3VGOuzsrUKd7a0MW8jTOsixmZ2extraGs2fPcpsByUcTq92ioiJOHMSqZs+nCIFUZMtOWC6Xc/nmjo4O+P1+rrVxbW0NALi2RoPBkFK9i9RFflJ2NITDYdFM2+KtJ/RrSVoO+X+XP0k1FhaLBeFw+NDvVVdXY3p6OuZjtre3Y/4+aQUk/zfR70hNTgqCTD/cNpsNJpPpyMFEuRwhYFkWCwsLWFpaQl9fH+rq6jJaT8qUQSgUws2bN1FRUYETJ04krBLuqi5BV3UJPnpXCxzeIG4s2t6MGFhgdgVwbdqMa9MHhZ9dVcW4u7MC93RVoLfy4Aad6YYSPVWxqKgIgUDgUD46GAzCbrfDYrFw1exkwygvL8+oQDIdpBAeUm0yuTBfQK1Wo66uDnV1dWBZFg6HA1arFRsbG5ienkZxcTEnIHQ6XcJNKp+MgrK9nhgzLlwulyjW2PlATgqCdOH3t3d1daGpqSnhm57NCEGidYPBIEZHR+FyuZK28k2ElILAYrEgEAigt7f3yNc/mrJCFR7oq8YDfdVgGBZT2078Ys6Kl+YsMK3vY3bXjdldN/7nKysoUSvQUSyHq3ID93RVorI09Q2ZuCSq1WpcunQJBQUFcV8nlUqFqqoqVFVVRVSzb21tYWZmBkVFRVCr1QgGg5LfNI8zUvodAMmJD5lMBq1WC61Wi7a2NgSDQa61cXJykjPD4c9diF4rHz0IyHq52mWQLOm0HFZUVEChUGBnZyfi5zs7O9wwoWhqamoS/j75vzs7OxGzW3Z2dnD27NmUrk8o8kYQEB9/h8OR9GAisjFL+QUm68bbeIgFcXFxMS5fvpx2hS0fKboMGIbB1NQUtra2oFAo0NzcnNHfk8tl6KsrQ19dGX7nnlbYPQHcWLC9mV6wwu4JwuiXw/jP0wCm0VdbirvfrD0406CFQp74/bTZbBgZGUkrFRMrekBCzS6XC9evX89q9EAI8qGokE8mdsIqlQrV1dWorq7mTG2sVivMZjPm5uag0Wi491un0+W1UVAu+RCki8vlSrnDpKCgAAMDA7h27RoeeughAAevxbVr1/DYY4/FfMzQ0BCuXbuGT3ziE9zPnn/+ea7AtbW1FTU1Nbh27RonABwOB1577TX8zu/8TlrPLVPyQhDs7+/DaDSipKQkpcFE/LkCUn7I423Qm5ubmJiYQGtrK9rb2wW7qYgdISAmSeFwGGfOnIHJZBJ8DX1RAd55qgbvPFWDMMPCtGrD/3r+NtbCWkxsObn/vv2LJegKVbirw4C7Oyvwto5yGIojPw9ra2uYnp5GT08PGhsbM742smEwDIOtrS10dHTAarVic3MTMzMzKC4u5sRBWVlZRjfwfAtzHreRxHwzHDLKl7Q2zs3NwefzobCwEAzDwOl0oqSkRNTnl23nwOO4Xrq2xU888QQ+9KEPYXBwEBcuXMCTTz4Jt9uNRx55BADwwQ9+EPX19fjSl74EAHj88cdxzz334Ktf/Sre+c534gc/+AFu3bqFv/mbvwFw8Fn6xCc+gS9+8Yvo7Ozk2g7r6uo40SE1OSkIkv0CsSyL9fV1TE9PpzWYiIgAKWaxR6/L36D5hklnz57lpsAJRToTCJNlf38fw8PDMBgMOHnyJHw+n+jpCYVchtMNWjzYyODee/vhCLB4ed6Kl+aseHneij1vED8a28GPxnYgkwGn68sOogcdBsj3N7CzvY2BgYGkvL3TgYz5bW1t5aIHVqsVY2NjYFk2onMhl6MH2ZplIOY6Qj8nhUKBiooKrofd4/FgaWkJVqsVw8PDnFkOSS8IEfHjk+81BGJ1GaQjCN7//vfDbDbj85//PLa3t3H27Fn87Gc/44oCV1dXI16by5cv45lnnsFnP/tZ/OEf/iE6Ozvx3HPPcR4EAPDf/tt/g9vtxqOPPoq9vT3cdddd+NnPfpa1jqacFATA0RXboVAIk5OTsFgsaQ8mIm9eKBSStHKWHyHw+XwwmUwIhUKcYZKY6wnJxsYGJicn0dHRwfkiSFVpT947lmVRUaLGQ2fr8NDZOoTCDIzrDlyfs+ClOQumtl0wrTtgWnfgmz9fRFkBcHdXJfybAVwpDEJbePgGne6mEetx0eFmp9MpWvTguHKcIgRHUVRUBL1ej2AwiNOnT2N/fx9Wq5Wz0i0rK+MEQmlpacbvt5QFjEB+pAwymWPw2GOPxU0RxJoV8L73vQ/ve9/74v49mUyGL3zhC/jCF76Q1vUITc4KgkS4XC4YjUaoVKqMBhPJZDLBfP5TgYxdJhbE5eXl6OvrE+2LJnTKgEQ0Njc30d/fH+HwRaIRYoeCyd+OFh9KhZwbyPR793dgx+HDv41v4sfDS5i2s3AEgB+Nm/GjcTMUchn6G7W4u6Mc93RVoLu6JOJvpjtiN9E186MHxIefHz1It9VNaKQ+uUu1jpTWxXK5HHq9Hnq9HsBBao0UJ46OjkZEiwwGQ1r3sXxOGYg1pyFfBxsJwbETBGTUb1NTEzo7OzP+sGSj00Amk8HhcGBrayupbohMEVL0BAIBGI1GBAIBDA0NHYpokPdD7JNEPEEQjdzvRK1nEV/45SY0t7ZjeG2fa2ucN7txa2UPt1b28LVrC6guU+Nt7QZcbtXiUqsepZrUwrupvofRPvwkerCxsYGpqSluMEtFRcUho5x88TvI14FDse5LarUatbW1qK2tjXi/+Z0qRBBqtdqkvj/53GVA7stC30fydfSxEOSsIIgOPRMf8s3NzYSjflOFnNalIhwOY3d3Fy6XC+fPn+dOD2IiVITA4XBgZGQEZWVlOHfuXEx/h2Q3aiFIlJ5gWRYrKyuYm5uL8HEYajNgqM2AP7jaiXW7F9fnD9oaX120Ycfhxz+ObOEfyTjnxjK8rcOAt7Ub0FaRXN9yus87UfSAnCZJD7xU5JsPgZSC4Ki1ot9v4nNhtVoxNTWFYDAIvV7PeR/E65vP5xoCcs8So4aARghik7OCgI/H44HJZIoYTCQUUkYIiAVxKBSCTqeTRAwAwggCEpk5qniTHyEQm3j2xQzDYGJiAhaLJWELaoO+EA+fb8DD5xvgD4bxxsoeXpw146VZC1btPry+so/XV/bx1WtLqNMeRA/e1mHA+WYdigoO36SE3HCiowfEKGdzcxMAMDw8jIqKCq724Lh2H0iZMshlb4BonwuPxwOr1Qqr1YqFhQUUFBRw0QO9Xs+J8Xwo8otHOBwWxYXR7XYf6Ux4p5LzgmB3dxdjY2OoqalBT0+P4B9GqWoIzGYzTCYT6uvrUVpayt3YpSATQcC39U0mMkO+vFIJgugNxe/3Y2RkBAzDRFgmH4VapcBdHeW43KbH79/bglW7D68s2nF93oY3Vvawue/HD4e38MPhLRQoZDjfrOOiB02GQu7viLHB8Y1ympqa8Itf/AL19fXY29vjWjxJHrq8vFyQAtl826ilFgSZtpYWFxejuLgYTU1NCIfD2Nvb48SB1+uFVquFwWDgXDWlQKycfjxIvYLQz4+mDOKTs4KAYRjMzs5iZWUlY+veRIidMohlQby9vS1p3UK6hX7BYBAmkwlerxeXLl1KKswmZcogup3S4XBgeHgYOp0Op06dSks8kutvNhSipbwIv3G+Hp7AQfTg+rwN1xds2Nz345VFO15ZtOPLWECTXoO3dRhwukIBXViajbS6uhr19fUR0YP19XWu9oDfuXBcowdCkmspg1RQKBTc+wkcjHInxYkWiwUymQwTExOcKBSrYyobkxXFiEbQosL45KwgGB8fh91ux9DQkKhvnpgpA2JBTHzyyYAlKa2EyXpAal8wvmPipUuXku6fJtXVUkcIdnZ2MDo6mpYfRay/y6eoQIF7OstxT2c5WJbFosWD6ws2XJ+3YXjNgVW7D99/YxPfB1AgB4ZWxvG2DgPuajegXiduP3G0zW4gEOBCzevr65DJZBGdC1K21yZDPkYIxG4FLCwsRH19Perr67G4uAin0wmNRoO1tTVMTk5yxahCt7JKLQjE6mhIx7r4TiFnBUFHRweUSqXoozbFEgROpxPDw8MoKSnB0NBQxIYqdWdDqoKAbK4tLS3o6OhI+UYqlRcBqSFYWFjA4uIiTp8+LXpuUCaTob2yGO2VxfjwpUa4/CG8trSH6ws2vDRrgcUTwkvzNrw0bwMAtFcUcamF/sYyqBTi3kwLCgq4Snbilme1WrnNgvTBV1RUoLS0NO57K+UGmm+CQMrKf5ZlodFo0N7ejvb29kOtrAzDcIWJBoMBhYWFR//ROIhV5BcPsQzjaIQgPjkrCIqLiyXZNMXYnI+yIJZitkD0esDReX2WZTE/P4/l5WWcOnUq7tCOZNaTKgIyPz8Pt9styBCodChRK3FfTwXu66mA5aIBLxrnsFdYj+sLNpjWHViweLBg8eAfXl1HcYECQ6163NWux13tBlSXpe8zkIzgksvlEdED0gdvtVphNBpzInog1UYt9SYt1aYZ/byii1GjR3gXFhZGzF1I5TrFKvKLhxgpA1KwSSMEsclZQSDVh05IQUBaI7e2thJaEEtthpRMoV8oFOImLPLTG+kghSDw+XwIBoPw+/0YGhrKCQtgmUyGxlI5fvViE/7LlSbse4O4+Wb04OUFG2zuIP59xoJ/n7EAALqrig+iBx0GnK4vg/KIgUyZwu+DZxiGqz1YXV09VHuQj8ZE+RghSLRpRg/hImZoVqsVMzMzCAQC0Ol0nEA4aiRwvpgguVyujO5v+UzOCgKpEKqo0OfzcQN+Yhn28JE6QkDy+vHWdLvdGB4ehkajOZTeSHc9MW/0e3t7GBkZgVwuR1dXV06IAeDw89YWqvDAiUo8cKISDMtiasuFXyzY8PK8DWObTszsujGz68b/vLGGUo0Sl1v1eFuHHlfaDKgoEfe0LpfLodPpoNPp0N7eDr/fD6vVyk1tZBgGBQUF2N7eRnl5ueAe/HzyLWUgtfhI9r1RKpWorKxEZWUld1ImEaPFxUWoVKqI1sbov5sPtsUATRkkggoChQJ+vz+jv2Gz2WAymZK2ICYRAilvHPEGHJF2yMbGRnR1dQlyPWJGCEg6prOzE2tra6K8fmKchOQyGfrqStFXV4rfeVszbO4AXlm04+UFG15ZtGPfG8K/Tpnxr1NmAEBfbQnne9BXW8qNcxbr86JWq1FXV4e6ujrOmtrhcMSMHiSqPUiVfCwqlNq8J521+K2NjY2NXGujzWbD0tJSzLkLUk86FCtlQAVBfHJWEByHlAHfDa+7uxuNjY1JXbdU9r58otMULMticXERi4uLOHnyJGprawVbK55hUCbw/RBIOmZjY0PQSARpzWQYhsuXkj7oZG6EqURGDMUF+I+nqvEfT1UjzLAY23TiF/NWvLxgx9S2CxNbB/89/fIq9EUqXGnT420dBlxsFr9OQi6XQ6PRgGVZnDhxgosekPSCXC7nxEGmE/ykGs6TzxECIV6/6NZGn8/HRQ+I8C4uLgbDMPD7/ZJE5cSIEPj9foTDYSoI4pCzgkAq0hUEoVAIExMTsNlsGBwcTMl1kHzIpRQEMpmMe56hUAjj4+PY29sTpRhP6HHLoVAIJpOJa98kX2YhUxMsyyIcDoNlWSiVSu7/53825HI591+iv5MqCrkMZxvKcLahDB9/eyvMTj9efjN6cGPRDrsniB+N7+JH47uQy4CmYgVmFOu4p6sCPTUlkIu8+URHD/gT/EjnAtlMSkpK0upKEZt8ajuUYi2NRhPxnjudTqytrcHhcOCVV15BSUkJJwi1Wq0o1yBGRMLtdgMAFQRxuOMFAbn5p4Lb7cbIyAg3bTFVtUw+5OFwWNTcbPSaDMPA4/FgeHgYBQUFuHz5siiV5UKmDMj1qtXqQ/UNQkUiSFSAnLZIuytJ65B/Y1mWqzeJFT0QasOpLFXjV87U4FfO1CAYZmDacOD6vB3XF2yY23Vj2SXDX728hr96eQ0VxQW4q12PuzsNuNSiR6lG3K909AQ//klyZWUFCoUionPhqM83LSrM/bVIt4rP54Pf78epU6c4Y6SJiQmEw2Fu7kJ5eXlGrY18xIgQuFwuyGQyUcbM5wM5KwhyNWWwu7uL0dFR1NfXo7u7Oy0FSzYSKTsNFAoFZ3VbV1eX9rUng1And5vNhpGRkbjXK0QkgkQBiBjgf+7IevyIDokckP8/+lqE3uBUCjkGm3QYbNLh9+5txbrNg7//19ewI6/A6yv7sLgDeG50B8+N7kD5ZqSB+B50VCY3kCkeyTw2+iRJogfLy8tJRQ/ysYZAyghBNqyEY7U22mw27O7uYm5uDhqNhhOEer0+7U2dFLYKicfjSSuKdaeQs4JAKpKt+Of36AuRc5ey04BlWQSDQSwuLuLEiRNoaGgQdT0hIgRra2uYnp5GT08PGhsbY/5OpsKDnPxjiYFY8NMFJGLAFwh+v5+LIpB+baFv1rVaNa5Us7jrrm5ArsTttX3OUnnZ6sWt1X3cWt3HX76whJqytwYyXWyJPZApHum8rvzoQUdHB3w+H9e5QKIHRBzEqmIXk3yOEGRTfPBbG5ubm7nWRpvNhtnZWfj9fuh0Ok4gFBcXJ/3aiBUhOKq98k7mjhcEyaQMAoEARkdH4fF4Mu7RJ0jlRRAOhzExMQG/34/29nbRxQCQWSif7+UwMDAAg8GQcJ10Ni5ykifvezoDVKKjB7u7u5iZmUFTUxMnEMg1plKYmAoFSjmGWvUYatXjv/1SO9bsXry8YMcv5q14Y2Uf2w4/nh3ZwrMjW1ApZBhs0uKuNwVCi6FQ9JuiRqPhLHb50QN+FTsp3hR7w6YRAmnW4rc2AjjU2qhUKjlxcFRKSawaAmpKFJ+cFQS5kjJwOBwYGRlBaWmpID36BCkiBF6vl+vX1+l0SU/+y5R0Q/nBYBBGo5EzGzoqz5eO8OCf6snfyPSztrq6irm5OfT19aGmpiYiehArtUBucum2i8WjUV+IhwcL8fBgHXzBMN5Y2edmLqzv+XBzaQ83l/bw5/++iAadhkstnG/WQqMSt7g1XvRgeXkZW1tbsFgsEZ0LQluWS71J52uEINUTe1FREYqKitDQ0ACGYbjWRpJSIu2sBoPh0CAusSIEqUQp7jRyVhBIRSJBsLGxgcnJSUEG5qSyrhDYbDYYjUZUV1ejt7eXGwksBemkDFwuF4aHh7lhSslsCKlGCPibtBAndjKRc3t7GwMDA9DpdADi1x4kU5goFBqVgnNBZH+ZxbLNi1/MHzgm3l7dx/qeD//71ib+961NqJVyXCDjnDv0aNAVctcnFiR6sLe3h6KiImi12ojogVar5QSCEDdwGiHInExP7HK5nIsMdHR0HDLDAsD9e3l5uShdWNS2ODE5LQikGJITyyQoWQtiIdYVGpZlsbq6itnZWXR3d6OpqQmAtPMFUn3fiDlSU1MTOjs7k75xpxKJSFQ8mA7E6tnn8+HixYsJK6ujaw/4/6Xa1pgOMpkMreVFaC0vwocuNsATCOPVJTteXjjoXNh2+A8iCQs24F+BlvJCnK6Q40ylCm0dDAqU4m04ZPMkGwHw1nhfEkFQKpURnQvpRA/y1YfgOIsPfjsrGeNts9mwubmJmZkZAMD29jaUSiV0Op0ga5MIASU2OS0IpIAo0HA4DKVSyVkQMwyTVNg6XcRIGTAMg8nJSezu7h7yRpBSECS7Ft/Yqa+vD3V1dSmtk6zwEFoMkFSMRqPB+fPnU0ojRYsDAJJHD4oKFLi3uwL3dleAZVnMmT14ecGGX8zbYFzbx7LVi2Ur8M8zwF+8dgOXWvVvFifqUVMmfNop+v3gj/clYWaSg043ekCLCoVZSyzfFP4Y79bWVgSDQbz66qvcPS0UCkGv13OisLAwvRoY6lKYGCoIeILA4XDAaDSisrISJ06cENU0SOgIgc/nw8jICADg8uXLh+oFck0QMAyDiYkJWCwWnD9/ngu3p8JRgkCI4sFoSOtmdXU1urq6Mg6h8v9vMtEDglCRM5lMhq6qYnRVFeMjQ41w+EK4uWTHT0dWcHvLhz0fg5/PWvHzWSsAoLOqGG9rN+Cudj3ONmQ+zvmo58GPHnR2dsLr9XKuiUtLS1CpVBGdC/GiB/l8apdSfEg1EVOlUkEmk6GtrQ2lpaVwu92w2Wwwm82Ym5uDWq2OaG1MNmpE2g4psclpQSBFyoB8cVdWVrCyspKSBXGm6woVISDDfhLNUpA6ZZBoLb/fz9U0DA0NpV3smOjzwTcUIr+b6Xu6vb2NyclJdHR0cKkYIUnU1kiiB+T58tslhaRMo8TV3kp0FDgQCAbBauvf7FywYWzTgbldN+Z23fjOzTWUqA/GOb+tw4C72vSoLE3dzjbVjbqwsBANDQ1oaGhAOBzmOhcWFhbg9Xqh1WpRUVFxqMWNRggyR+pZBmQ9mUyGkpISlJSUoKmpCeFwmGttnJ+fh8/n46JGBoMhoc8ATRkkJqcFgRSQnvH19fW0T6rpIFSEYH19HVNTU+js7ERzc3PcL4KUvgeJcvsOhwPDw8PQ6XQ4depURlGYeMIjupMg05sYmfuwsrKCU6dOiVJTEk2swsRgMIjZ2VnulEbSC2LUHrAsC7lMhu7aUpyoLcWjdzVhzxPEjSU7rs8fDGSye4J4ftqC56cPxjn31rw1kOlU3VsDmY4i3c2TuCLGih6Q6X0kekDaG6VAyvkMx7mGIBFE0Me6PygUClRUVKCiogIAuPeddC/wPxcGgyEiquF2u6HVaiV5DseRO1oQEAtiADh58qRkYgDIfIPmFz6eO3eOG0oi1nqpEG+j3tnZwejoqGBdG7EiBELXC5Acpt1ux/nz57M2Rz0cDmN8fBzBYBDnz5+HWq3mnic/EkKesxi1B7oiFd7RV4V39FUhzLCY2HJypkgTWy5MbR/89zevrEJbqOQGMl1pM0BfFLvOQsgIYHT0gNQeLCwswOPxoKCgAKurqygvLxfVnEaqCAH/PZcCKWevELGTzHr89534XdhsNqyurnKtjaOjo2hqaoLb7UZ9fX3G12ez2fCxj30M//Iv/wK5XI73vve9+PrXv54wHeHz+fDJT34SP/jBD+D3+3H16lX81V/9FaqrqwEAJpMJX/7yl/Hyyy/DYrGgpaUFv/3bv43HH3884+tNlpwWBGJ+qYgFMbl5SDnnG8gsQuD3+2E0GhEKhZIufJTL5QgEAmmtlyrR4oM/WfH06dPcF0CIdfgbitBiIBAIwGQygWEYXLhwQZIJb7Hwer0wGo1Qq9UYHBzk8qXx2hqlMEVSyGU4XV+G0/Vl+P/uaYHFFcAriza8vGDnxjn/ZMKMn0yYIQNwqq4Ud3UYcHe7Ab21kQOZxPieR0/vm56ehtvtht1ux+LiIgoKCiJqD4T8/ksZIQCkEwRSpgz4dT+pwPe7aG9vh9/vh81mw//8n/8Tf/RHf4RQKIT29nY0Njbi6tWrcV1Qj+I3fuM3sLW1heeffx7BYBCPPPIIHn30UTzzzDNxH/N7v/d7+PGPf4xnn30WWq0Wjz32GN7znvfglVdeAQDcvn0bVVVV+N73vofGxkbcuHEDjz76KBQKBR577LG0rjNVcloQiAHLspibm8PKygpnQWy1WiU7PRPSPbHv7+9jZGQEOp0Og4ODSd/IslVUGA6HMTY2JspkRRIh4I8tFkoMuFwuGI1GlJWVxa3LkAJijFVVVRV3/kS82oNMTZFSeQ0rSgrw7tM1ePfpGoQYFmMbDlyfP+hcmNl1Y3TTidFNJ/7qFyswFKsOHBPbDSgNMKiU4DStVCpRWlqKrq6uiOjB3NwcfD4fZ6+bafSAfBbzNUIgtSDI9HunVqtRW1uLv/7rv0YoFMJ73vMelJSU4B/+4R/w27/92+ju7sbHP/5x/Nf/+l+T/ptTU1P42c9+hjfeeAODg4MAgG9+85t4xzvegb/4i7+I2S21v7+Pv/u7v8MzzzyDe++9FwDw93//9+jt7cWrr76KS5cu4SMf+UjEY9ra2nDz5k38n//zf6ggEIN4FsRimwTFQqFQIBgMpvSYzc1NTExMoKOjAy0tLSnddLLhQ+Dz+TA8PAyFQoGhoSHBT9gkNRErZJ4JVqsVo6OjaGxsRHt7e9ZczcxmM8bGxtDW1pawPoRPLpgiKeUy9Ddq0d+oxcf/Qyt2HH68/KbPwc2lPdjcQfzz6A7+eXQHchnQWxXE/b0hvK3DgK4qcVzk+Jt0dPTA4/FE1B5kEj2Q8tTOjwRJQTZskoV8bqSt/MMf/jA+9KEPYW9vD9euXUu56+DmzZvcgYxw//33Qy6X47XXXsOv/MqvHHrM7du3EQwGcf/993M/6+npQVNTE27evIlLly7FXGt/fz+hfbvQ3DGCYH9/H0ajMaYFcbYEgc/nS+p3iSPexsZG2kZJUs1OAA5uhj6fDzdv3kRFRQX6+vpEuZHwBQFZN1PW19cxMzOD3t7elH0RhGRtbY3zZ8gkxZKuKZKQuf3qMjXe21+L9/bXIhhmMLy2j+vzdry8YMOCxYOJHR8mdpbx9ReXUVVacFCY2G7ApVYditXC3KIShfGJvW5jY+Oh6EH0cJ6jogd8S2yxIbUKUgoCqSJlYqUn+D4EOp0O733ve1P+G9vb26iqqor4GTHP2t7ejvuYgoKCQ3Vq1dXVcR9z48YN/PCHP8SPf/zjlK8xXXJaEAj1QSeV+PGK2bIhCJI9sZM8tt/vx6VLl9JumZEyQkAcx3p6epI+2aYKKThaW1tDKBRCZWUlysvL0541wbIsZmdnuSJNvqmTlERfh5CFrrFSC0QcREcPxBjlDByMc77YosfFFj1+//42/Nsrt7DsL8aoOYzXlvew6wzgn4zb+CfjNpRyGc41HoxzvrujHK3l6Q9kSjaMnyh6sLCwcGT0QMpTu5QndkD6GgKhxQfLsgl9CD796U/jK1/5SsK/MTU1Jeg1xWN8fBzvfve78Ud/9Ef45V/+ZUnWBHJcEGQKwzCYmprC9vY2+vv7uTaVaLIVIThqTafTieHhYZSVlaG/vz+jgS9SCAKyme3s7ECr1aKlpUW0dUKhEJqamqDT6WCxWLC0tITx8XHodDquJSlZF7tQKISxsTF4PB5cuHBBNHfKoyCdBC6XS/TriJVaIP+FQiE4nU6UlpYiEAiIZqkMAOUaGU636/FoTQ38IQa3V/fwi/mDgUyrdh9eX9nH6yv7+Oq1JdRr1biLG8iU2jjndCv/o6MHdrsdVqsVs7OzCAQCh2oPpE4ZSCkIpK4hECMa4XK54gqCT37yk/jwhz+c8PFtbW2oqanB7u5uxM9DoRBsNhtqampiPq6mpgaBQAB7e3sRIn9nZ+fQYyYnJ3Hffffh0UcfxWc/+9mjn5SA5K0gIM59LMvi8uXLCb3mczFCsL29zeWPhWjRE1sQhEIhmEwmuN1utLe3w2azCb4Gv3iQhIBJRTHpQ7dYLLBYLFhYWIBarUZFRQUqKyuh1+tj3syIVbVKpcKFCxcEm2aZKqRzRC6XZ+U6yIYfDAYxPj4OlmXR1NTEdXKIWXtAPttqpRyX2wy43GbAp38ZWLF5cf3NgUxvrOxhY9+PH97ewg9vb6FAIcN5MpCp3YAmQ/zvNyCMMRG//52cNm02GywWC+bn56HRaLgedyk2Tyk9CID8sElOZF3MH9uciKGhIezt7eH27dsYGBgAALzwwgtgGAYXL16M+ZiBgQGoVCpcu3aNS1PMzMxgdXUVQ0ND3O9NTEzg3nvvxYc+9CH8j//xP1J9ehmT04Ig3S+w1WqFyWRK2oJYoVBwNzypiCdCSBfE6uoqzpw5cyhXlS5iCgKPx4Ph4WGo1WoMDQ3BbDYLvla082CsgqPCwkI0NjZypzlidToxMYFQKITy8nLuhq5Wq7kK/srKSvT09Eh6c+Xjcrm4zhGx6i2SgcxoKCoqijCNIvUG5D0QciBTorREs6EQzRfq8ZsX6uEJhPHGyh7ne7C578criwctjl/GApoNhdy8hYEmHdRRA5mErvyXyWQoLi5GcXFxRPRgZ2cHAPDyyy8fih4IjZQh/ERGQWIgxnM7KmWQLL29vXjggQfw0Y9+FE8//TSCwSAee+wx/Pqv/zpXd7SxsYH77rsP3/3ud3HhwgVotVr81m/9Fp544glu1PPHPvYxDA0NcQWF4+PjuPfee3H16lU88cQTXG2BQqGQxAwNyHFBkCosy2J5eRnz8/Po6elBQ0ND0nlDqXr0CbE26GAwCJPJxHVBCOm5LZYgsNlsGBkZQV1dHdcWJ7TldDrOg+RLVFlZCZZl4XK5YDabsbGxgampKWg0Gvh8PjQ0NGQ8kyATbDYbTCZT1jsaiDiqrq5Gd3d3xHUkamvM1BQp2Y26qECBezrLcU9nOViWxZLVi1/MW3F93obhNQdWbF6s2DbwvTc2UKiS42KL7mDmQocBdVqN6K2AJHpQWFiI3d1dnD9/HlarNSJ6QMSBTqcTZGOV2qUQkNbzQGjx4fV6wTCMIPfV73//+3jsscdw3333ccZE3/jGN7h/DwaDmJmZgcfj4X72l3/5l9zv8o2JCP/4j/8Is9mM733ve/je977H/by5uRnLy8sZX3My5I0gCIVCGB8fx97eXsoWxFJW4PPX5J+0XC4XhoeHUVxcfKgLQgjEEARra2uYnp5GT09PhMGHkGsJ4S8gk8lQWlqK0tJStLa2YmFhAcvLyygrK8PW1hZ2dna41EK643XTYXNzE1NTU+jp6RHEPS1dLBYL5yB5VBHoUW2N6ZgipfqeymQytFUUoa2iCB++1AiXP4RXl/a49MKuK4AX52x4ce4gbdVeUYQebRhX2lSoa2AyHsiUCFLsSqIHTU1NCIVCnPf+zMwMAoEAN7mvvLw8YTozEVLPTACOtyui2+0GAEEEgcFgSGhC1NLScuhQpNFo8NRTT+Gpp56K+Zg//uM/xh//8R9nfG2ZkNOCINkPOwm5kpB1qv3u2aohIGvu7OxgbGwMTU1N6OzsFOVLLuQmzbdNHhgYONQne9Rwo2QRw4Z4amoKVqsVFy5cQFlZGTde12KxYG5uDl6vF3q9HpWVlaioqBAl1EucG1dXV3H27NkjbafFZGNjA9PT0zhx4gRqa2tTfnyqpkjRG4oQkaQStRL391Tg/p6D3P7srhu/eFMcGNcdWLB4sGABfrywg//xkgWXWnXczIWqNAYyJSLWJq1UKiOiVaRzgUzuKywshMFgSDl6IHVOHzjerogulwsKhSLtYWp3AjktCJKBbKaNjY3o7OxM60OUzRqC+fl5LC0t4dSpU3ErVIVAKEEQDAZhNBrh9/vj2iYnGm6ULPxwtBBigKRjQqEQLly4wN0U5PK3xut2dXXB4/HAYrHAbDZjdnYWRUVFXN2BTqfL+CYVPRshW6NY+aKkv79fEPOTdEyRyP8WCplMhu7qEnRXl+CjV5qw7w3i5tIe/t8b8xi3MNjzhXFtxoprMwfjnHuqi98ayFRfBmWSA5nicVRqgl97wI8eWK1WTE9PIxgMJh09kLrqXwwTq0TrCR0h8Hg8KCoqylp68DhwbAUB34I40800GxECMr1uY2MjwjVRLIQQBPy0xqVLl+KG1jOJEJBOAr6XeaYbhtvthtFoRHFxMc6ePZswJVBUVISmpibuZk3ywGNjY2AYBuXl5ZznQaqz4aNFSbZmI/AjJYODg6J99pIxReLXIohxo9YWqvDAiUrUBDZQXlEBh1zLRQ/GNp2Y3nFjeseNv72xhjLNWwOZLrfpUV6c2vsLpL5JR0cP3G43bDYbdnd3uegBv/aA/7ez4RwoFWKkDBK1HFIOyGlBEG8jIGY9Pp8PQ0NDGb/JUtcQuN1ujI2NAThoYUl1Y0mHTAWB2WyGyWRKKq2RboRA6LHFwEHR3ujoKOrq6lJOxyiVSlRXV6O6uhosy8LhcMBisWBlZQUTExMoKyvjUguJZrADb1XwFxYWor+/P2uzEUKhEEZHR+H3+yMiJWITSxzMzc0hFAqhqKhIdEtllmWhkMvRV1eKvrpS/M7dzbC5A7ixZMcv5m14ZcEOhy+En06a8dPJg4FMfbWleFuHHm9rN6CvrjRiIFOiddIVsDKZDCUlJSgpKTkUPZiamkIwGOSiWeXl5XktCMLhsOB1VG63O21jtzuFnBYEsSDDfbRaLYaGhgQpAJMyZUA21traWng8HskK2MgmneoXm2VZrKyscDa6ydj5piM+hB5OBLxVtNfd3Y2GhoaM/pZMJoNWq4VWq0V7ezt8Ph/nebC0tASVSsWlFgwGQ8SGT2yzY1XwS4nf78fIyAhUKhUGBwez5rkAHDi+7e/vc6JErLZGQqyN2lBcgHedrMa7TlYjzLAY23S8GT2wY2rbhfEtJ8a3nPj29VUYilS4zI1z1kNbGH+cs1AbZ6zogdVq5aIHSqUSSqUSNptNkHRWIqRsOQQOBIHQYpUIgmx9/44DOS8I+C1sxIK4vb0dra2tgr2xUqQMWJbF0tISFhYW0NfXh8rKSqytrUmmvPmns2TXYxgGExMTsFgsKXVupBohELp4kGVZzM/PY319XbSiPY1Gw81gJz3oFosF09PTCAQCMBgMqKiogEwmw+zsLDo6OtDU1CT4dSSL2+3G8PBw1r0OSIQiEAjg/PnzXNokVmFiPO+JdKIHR53cFXIZzjZocbZBi4+/vRVmpx8vL9pxfd6Gm0t22DxB/Gh8Fz8a34VcBpyuL+NqD3qq39pkxKr850cPmpubEQqFMDMzA4fDgcnJSYTD4YjaA6E3Uyk9DwDxugxohCAxOS8IgLcKsXZ2dnDu3DnBb/BiCwJ+SyQxqSA3uXA4LEmUgF/olQzkNMkwDIaGhlK6waRSQyB08SCx/3U6nbhw4YIkNwC+g113dzfcbjfMZjNWVlbg9Xqh0Wg421KtViv5CWVvbw9GoxH19fXo6OjI2gkpEAhgZGQESqUSg4ODMT/38QoTo8VBqqmFVE/ulaVq/MqZGvzKmRoEwwyM6w7OFGne7IFx3QHjugPffGkZlSUFuKv9IHrQXhKSZONUKpUoLCyEXC5HT08PFz3Y2dnhimHJQCahimGP+9yERC6FlANyXhCQ3GsyFsTpIqYg8Hg83E2Q3xJJbspSFTPyT2BH4XA4uNMk37EulbWOWkeM4sFo+18pajOiIVXk6+vrCIfDOHfuHAKBACwWC4xGIwBw4iGTYUzJsrOzg4mJCXR2dkZ4RUgNcbMsKyvDyZMnk77Zp9LWmCh6kEluX6WQ43yzDuebdXjivjZs7fvw8sJB7cFry3aYXQH8X9MO/q9pBwoZ0KGT4x3BNbyt3YCOysTTETOBL6Kjowc2mw1Wq1Ww6EE2BIEYRYU0QpCYnBYELMvi9u3b0Gq16O3tFS2HpVAo0sqvH4XVaoXRaERtbe0ha1yZTCZpMSO5WR613s7ODmdSk+4MBf60vFiPjy4eFGKEq9PpxMjICAwGA06cOJHVkPjY2Bi8Xi8uXLjACdja2lowDIP9/f2Yw5gqKyuPHK2bKqurq5ifn8fJkycFs8BOB+KCWFNTg66urrSfYyamSEI6FdZqNXjfuVq871wtAiEGt1b3cX3hoHNh2erFjJ3BzAtL+MsXllBTpuZSCxdbUhvIdBTx7ldKpRJVVVWoqqriXDqtViu2t7cjogfl5eXQarVJfVekriEQYz0hbIvznZwWBDKZTJJBLyR0KVSYil+I19vbG7egjW9OJAWJTu6kL31xcRGnT59GdXV1RuuQvxl9Exa6XgA4KNQcGxtDS0uLoLUlqcIv2jt//vyhz61cHnsYk9ls5oYxka6FeMOYkoG05G5ubmJgYIAbuJMNrFYrRkdH0draKvgo7FSiB2JZFxco5bjcpsflNj3+4Jfa8cbUMl6c2cWCtxC3Vvex7fDj2ZEtPDuyBZVChsEmLTeQqdmQ/jhn4OA5H3Vv5Lt0trS0IBgMcp0LExMTCIfDEZ0L8aIHUtcQiBEhoDUER5PTggAA1Gq16Kdo8kEXotUlHA5jYmICVqv1yEI8qdsd4wmCcDiMsbEx7O3tCeKJEK+AUYziwdXVVSwsLODEiROiGjsdhdPphNFohF6vTzpCkeowpmRgGAbj4+NwOBxZHeUMHEzsnJiYQG9vb1LdKZnAjx7w63MYhoHP54Pf70c4HEYwGBSlrZFQW6rE1TYNTp8+BW8wjDdW9rnag409H24u7eHm0h7+7PlFNOo1uKudjHPWQqNKbQNMJ6KpUqnSih7kQw2By+XKqivocSDnBYEUpz1yg8j0tE7qHeRyeVKFeLkQIfD5fBgeHoZCoUjL9jkW5D3jdxoIXTzIMAxmZmawu7ubM6fg5ubmtCMURw1jKi0t5VILpaWlMdcgxkfhcDhrNRQEkq44c+YMKioqJF2bbCRyuRxutxujo6PcnAp+3Qr5HSHaGgn8SEShSoG7Owy4u8PADWR6eeFAHNxa2cea3Yf/fWsT//vWJtRKOS6Qcc4dejTojq6VyrTFMVb0gNQe8KMH5eXlCAQCkrcdihEhaG5uFvRv5hs5LwikQqlUZrQ522w2GI1GVFVVJX1CzHaEYG9vDyMjI6ioqBC0FS06jCt08WAwGORa1/h5+myQ6SyAWPBv1G1tbVxRotlsxurqKuRyOZdaIMOYcsX4iLR8bmxsZF2okeJYfndFdFtjPEvldL8L8doO+QOZPnixAZ5AGK8u2XF9wYbr8zbsOAMH//+CDfhXoLW8EG/rMOCudgMGGrUoUB6+HqFP7SqVKsKIy+VywWKxYGtrC/v7+1AqlVhYWIDBYEi69iBdxKohyGbE7DhABcGbpNtpwLIs1tbWMDMzg+7u7pR6zbMZIdjc3OSqz4XO7fI7KKJbxTJdx+PxwGg0orCwEOfPn5fM2CkalmWxsLCAtbU1wWYBxKOgoAB1dXWoq6vjhjGRwTherxdlZWVwuVyorKzMqsdA9JyGbOZryVjp1tZWtLS0cD8/qq0x0+hBsqf2ogIF7u2uwL3dBwOZ5syeg+jBvA0ja/tYsnqxZN3Ad187GOd8qVWP/3pXE/pq30rniTntMHpC6PT0NJd6GR8fB8uyEZ0LQtpwk/dCjAgBLSpMTM4LAqkKxNLZnMkNkIStU90UshEhCIfDmJmZwdraGs6ePYvKykrB1yEbfygUglKpFCxfS/rpSbV6Nje+iYkJ7O/vSz6gSC5/axhTd3c3F6FQq9XY2dmB0+nkUgtin+L4hMNhmEwm+P1+nD9/PqsT5XZ3dzE+Po6enp4jaxcSFSamY4qUziYtk8nQVVWMrqpifGSoEQ5fCDeX7Hj5TddEizuAn89a8eiVyMOGlHl90trY0dEBlmXhdDphtVqxubmJmZkZFBcXc+KgrKwso+viRxOFhAqCo8l5QSAVqaYMfD4fjEYjZ9yTTtha6giBTCbDwsICQqEQLl26JNqXg5yS1tfXUVdXJ8g6W1tbmJycRFdXV1b76ckcDZZls56n39zcjEhXkBywxWLhrjGTYUzJEggEOP+HbFsib2xsYGZmJq1Wy0zaGglCWBeXaZS42luJq72VYFgW09su3Fzaw4nayO+R1LMMyOdHJpOhrKwMZWVlaG1tRTAYhNVqhc1mw9jYGFiW5WoPDAZDytED8jrTCIH0UEHwJqmkDEjuvby8HH19fWl/cKWMEHg8HrhcLhQVFWFoaEi0mzY5YfX29mJnZwevv/46CgoKuIK5VNvp+GN6s1GgxoeYTJWUlODkyZNZzdMvLy9jeXk5wpo5OgfscDg4x8SJiQlotVoueiCUp7vX68Xw8HDWXxMAWF5extLSEs6ePSvYOOdk2xr5vydoa6VMhhO1pThRe7jzR+rxx/HWUqlUqKmpQU1NTUT0gESvUo0ekFHLQr6OLMtSH4IkyHlBIFXKIFlBQOYpCJF7lypCYLPZMDIygoKCAjQ3N4siBkiBFgmz1tTUoLa2lvP5j26nI0VxiU6t4XAYk5OT2Nvbkzw0Hw1JV6QzNVFIGIbB9PQ0LBZLwtHF/GFMHR0dEcOYFhcXUVBQwIkDvV6f1kbudDoxPDyc9aFNpJCR+C6UlZUJvsZR0QNSmEg2Tik261ycdhgdPQgEAlznQnT0IF7UiryGQn+eaITgaHJeEEjFUYKA3Ii3trYEm6cgRYRgbW0N09PT6Onpwe7urijrxRtCA0T6/Pf09MDpdMJsNmNtbQ2Tk5NxT60kDA0AFy5cELRoKVVyxf43HA5jdHSUc0FMJU8fbxjT1NQUN4yJiLRk/i4p2mtpaUFLS0tWBdLU1BRsNhsGBwclK2SMjgowDMN9tol9MP/3xNi4hZyseBTpio+CgoJD0QOLxRLRTsuPHpBOEDEiTVQQHA0VBG+SSBAQj/xQKIShoSHBWlfEjBDwBQwpeLRYLIILgmgb4kQ3Df7pgT9C2Gw2Y3FxkXPqKykpwcLCAjeZL5uh+ZWVFSwuLuLUqVOiFGAmCxkMpFAoYrogpkK8YUxbW1uYnp5GSUkJ9++xhjHt7OxwRXv19fWZPrW0IYOs3G53VgsZ5XI5nE4nTCYTGhoa0NjYyIlkodsa+YjZZRBrrUy/h/zvP2mnJdGD0dFRLnqg0WgEf14Mw9CUQRJQQfAm8QTB/v4+RkZGoNPpMDAwIGibm1hDlYLBIIxGI/x+f4SAEToiwRcD6eT8ok+tNpsNa2trXK89cFAxXlFRIXmhGhFUZrMZg4ODooShk8XtdmNkZCTlwUDJwB+MQwrESGphZGQEMpmMi+AYDAZsb29jbm4Op0+fzqpACoVCXFFvpgIpU0i0pL29/VDbMb9bQYi2xui/nQs1BOkSHT1wOBzcxEa/34833njjUPQgXTweD1iWpYLgCHJeEGSzhoD06re3t4vikS+XyxEIBAT9my6XiyvyunTpUoSASWYKYbJkKgaiUSgU8Pl8sNvt6OvrQ3FxcURBHH8IkNhh4VAohNHRUfj9fly8eDGrLXRSjy5WqVSora09NIxpYWEBo6OjkMlkaGhoyKrBSyAQwPDwMAoKCrJqwgS8NUeju7s7ZrQkXmGiEKZIuVhDkC78mpeSkhIsLy+joaEBVqsV6+vrkMlkEZ0LqXbMuN1uAKCC4AhyXhBIhUKhgN/vB3Dw4Z+dncX6+rpovfpkTSEjBGazGSaTCU1NTTEL34QQBNHFg0LNJJidneXqM/R6PQBEFMSZzWaYzWbMz8+jsLCQ61oQutfe5/NhZGQEarU6q8ZHwFv99B0dHSkZXgkFGcak1WoRCAQQDAZRV1cHp9OJmzdvQqPRCDKMKRVIV0Npaang0ZJUIbMaTp48mdQwMKFNkfJJEPAhM2WIMOVHD0jtUVlZGScQkokeuN1uqFSqrNYiHQeoIHgTsjmTPnMSbhfzNCrUiZ0/XbGvry+uGUum6yUqHkyX6HHBsU6eGo2GGwJEZr0T8QMgotc+k9AxGaFMCiCzudmsra1hbm4u66OL+YWM/GgJeR8sFgvGx8cRDocj3gcxbrwk+lVVVZXVrgbgoNtodnY2o1bYTE2RpBYEUkViotMT/OgBqT2wWq0pRQ/cbrfg48XzkZwXBFKmDPx+P27evInS0tJD4Xax1sw0QkBc8ywWy5HTFeVyOYLBYFrrpFI8mCxerxdGoxEFBQVJ54GjZ73v7+/DbDZjaWkJ4+Pj0Ov13Kk1lbC2xWLhxvRms2qePwvg3LlzCd9PsSGdHjKZ7ND7E/0+kOpxcoIrLS3l3od4w5hSgdTyNDY2oq2tLas3duJ30N/fz0WzMiVVUyQhv4fJIOX446MGGxUUFESktfjRg+jOBfLZc7lcghzubDYbPvaxj+Ff/uVfIJfL8d73vhdf//rXE6YifD4fPvnJT+IHP/gB/H4/rl69ir/6q7+KGVWyWq04c+YMNjY2YLfbJf/+57wgkAqXywWbzYaOjg60t7dLcsPJtMjP7/djZGSEc0tMZrpiOusJPbYYOLjBG41GVFZWpn0al8lk0Ol00Ol06OzshNfr5VILZJQrP7UQ77rJaTzbI5SjLZGzOQuATMEsKirCqVOnEt6go6vH/X4/rFYrzGYzlpeXoVQqua6F8vLylE+aVqsVJpMpa6kTAjHJWltbE83vgHCUKRIR9vzUnZjkajRCLpdz94D29nb4/X6uc2FtbQ1GoxEvv/wyenp6oNPpMr53/cZv/Aa2trbw/PPPIxgM4pFHHsGjjz6KZ555Ju5jfu/3fg8//vGP8eyzz0Kr1eKxxx7De97zHrzyyiuHfve3fuu3cPr0aWxsbGR0nelyLASBTCaLGKUrJCzLYm5uDhsbGyguLkZHR4co68Qik7ZDMslNp9MdecPmr5eqIBBDDJC+flKVLZT4KiwsRFNTE5qamhAKhbhNifgZkKLE8vJyKJVK7r3f3NzM+mmcP7r4/PnzWc11ktB8RUUFent7U35/1Gp1xDAm4nkwOzsLv98PvV7PvRdHWX6Tz0pvb69g0yTTgdS57OzsYHBwUPL5FcBb0YNAIIDR0VHodDooFArR2hoJYg0bikcm0Qi1Wh0RPSgpKcHS0hL+3//7f1haWsLQ0BAefPBBPPjggxgYGEhpnampKfzsZz/DG2+8gcHBQQDAN7/5TbzjHe/AX/zFX8RM1e7v7+Pv/u7v8Mwzz+Dee+8FAPz93/89ent78eqrr+LSpUvc737729/G3t4ePv/5z+OnP/1pWs8/U46FIBALMkbX7Xaju7sb6+vrkq6fboRgZ2cHo6OjaGtrSyl8mqog4OcyhSoeJOFWsfv6lUplhI3v3t4eVy0/NjYGvV7PFcrlwml8ZGQEGo0m61XzdrsdRqMRTU1NgoTm5XI5F74lngfEe4IfxSGeB/wbNIncnD59OquW1SzLRkxxzOa47WAwiJGREahUKpw5c4Yz8hGjrZHAr2WQgqNSBskil8tx7tw5nDt3Dt///vfx93//93j00Ufxk5/8BF/96ldhMBgwPz+f9Fo3b96ETqfjxAAA3H///ZDL5XjttdfwK7/yK4cec/v2bQSDQdx///3cz3p6etDU1ISbN29ygmBychJf+MIX8Nprr2FxcTHDZ54+d6wgIKcg4u3vcDgkHTQEpB4hICN3l5aWcPr06aQqm6PXS0YQiFE8SCZD2mw2nD9/Pq7lrhjIZDLo9Xro9Xp0dnZif38fo6OjCAaDYBgGo6OjXGoh037nVMmlQkbS1dDV1YWGhgZR1iguLkZxcTGam5u5YUykQJRlWS614HK5sL6+nvXIDcMwGBsbg9vtxuDgYFZbUAOBAG7fvs2lcchnJTq1QL67QpkiZUMQCD2Iy+12Q6/X45FHHsEjjzyCYDCImZmZlITH9vb2oQJfpVLJ+XPEe0xBQcGhz3B1dTX3GL/fj4cffhh//ud/jqamJioIjkLolMHu7i5GR0cj2vPEMglKRCoRgnA4jLGxMezt7eHSpUtpbajJCAIxigdJ50Y4HE7Zcldo3G43xsbGoNVq0dfXB4ZhOCOe4eFhyOXyiNSCmKd1YmjT3Nwsis9FKpCqeSm7GqKHMZEC0ZmZGQSDQZSWlsJut0OpVAo2jCkVyEjnYDCIwcHBrE62JDUdpaWl6Ovri/m9FLqtkSC1IBAjPeFyuSLSPCqVCidPngQAfPrTn8ZXvvKVhI+fmpoS9Hr4fOYzn0Fvby9+8zd/U7Q1kuVYCAKh4J+wT506FVFAli1BkMya5GagUCgwNDSUdn75KEEgtL8A8JbLHukbz3Y43GQyRZj8KBSKiJzj3t4ezGYz5ubmMDY2BoPBwAkEIYUMGefc29sbt01UCvjTJIWsmk8VUpi4vr4OpVKJs2fPwuVycbbWZGIm8TwQ+3NE3D4BCO5Qmiperxe3b9+GXq/HiRMnUkoRxjNF4kcAj4oeEIvk49zRkMi2+JOf/CQ+/OEPJ3x8W1sbampqsLu7G/Fz0n4brxi5pqYGgUAAe3t7EVGCnZ0d7jEvvPACxsbG8I//+I8AwB3GKioq8N//+3/Hn/zJnyTzFAXhjhEEpN/d4XDEPGGTzZk470lBMikDMmq5srISJ06cyOiLkmg9MYoHyQm4oaFBEpe9RJANuLu7O244XC6Xw2AwwGAwRHj8b29vY2ZmBiUlJVxqId1WOn4dBX90cTZgWRZTU1Ncy2o2XdyI34HP5+OKKnU6XYStNX8YU3l5OZdeEDriRJwQ1Wo1Tp8+nVUR6/F4cPv2bS6llO53KNnoAd/vgDxGypZDsp7QrznxIYgF+U4fxdDQEPb29nD79m0MDAwAONjMGYbBxYsXYz5mYGAAKpUK165dw3vf+14AwMzMDFZXVzE0NAQA+Kd/+id4vV7uMW+88QY+8pGP4Pr162hvb0/peWbKsRAEmW4k5JSqVqsxNDQUM/SnUCg4Fz4pvQ8SrUmsk4UYtQzEjxAIXTwIgJuFnu0BOCzLYmlpCSsrKymbyJB8d0tLC2eGQuyUSSsd8fhP5gbGsiymp6exu7sreR1FNCQF5fF4cqJQjpzGBwcHD/lRKBQK7qbNsixcLhcsFsuhYUxC1ICQaFxJSUnWnRBdLhdu376N2tpawUdup2KKFAqFJH0dxEgZuN3ujIuYe3t78cADD+CjH/0onn76aQSDQTz22GP49V//dS7Kt7Gxgfvuuw/f/e53ceHCBWi1WvzWb/0WnnjiCRgMBpSVleFjH/sYhoaGuILC6E3fYrFw61EfAoEhBUsNDQ3o6uqK+8EmH0Ap1TBfgfNDkqTFaW1tTVDr5GhBQMQIOR0I1UlA2jj7+/thMBgy+nuZQEbjWq1WDA4OZrQBR5uh2O12Lt/t9/u5E2tlZWXMlA5/A75w4UJObMAsy2Y9N+73+zE8PAyNRpPUaVwmk6G0tBSlpaVobW2NEGr8GhDieZBKqN/j8WB4eBgGgyGtdkshcTqduH37NhoaGkT3RTnKFMntdnOmZmK0NUYjxj3Y5XKhra0t47/z/e9/H4899hjuu+8+zpjoG9/4BvfvpFjR4/FwP/vLv/xL7nf5xkS5SN4KAnIyXFhYSGjnS+ALAqkmp/G/gIRQKASTyQS3241Lly4JGsblFzFGFw8KMaCIbHoulwsXLlzIaisfaSkNBoOCFzLyW+nIDdNsNmNzcxPT09OcSx8Z5Uw24FiOf1LDb3HMhXA48dJINx0WLdRIYSK/vZQIhESfR3Iar6mpQVdXV1bFwP7+PoaHh9HS0oLW1lbJ1+dHD6xWK+bn57lTrBhtjdGIkTLwer2CDOQyGAwJTYhaWloOFcBrNBo89dRTeOqpp5Ja4+1vf7tovjtHcSwEQapfTn5FPgnbJLMGCY9JBT9CALx1gySpDaE3DhIhEKN40OfzwWg0QqlU4sKFC1k9dXq9XoyMjKCwsBCDg4OiFoRFjw8OBAJcn/3y8jJXm1JaWoqzZ89mVQy4XC6MjIxwJ+BshsOdTieGh4cF3YDJMCa9Xo+uri54PB6ug2Rubg6FhYVcFEen03HPP5dskYkPRKxRylJDHCLJJEdymOBHD8QwRZKiy4ASm2MhCFLB4/FgZGQESqUy5Yp8qTsNyJeHYRjYbDaMjIygrq4O3d3dotysyVpCFw86HA4YjUaUl5dnfaNxOBwYGRnhBuBIfS0FBQWcS5/dbueEidfrxfXr17kBQBUVFZKKJjJGWYoQ9FGQTa+lpUXUuRFFRUURzpWkMHFsbAwMw8BgMKCoqAhra2tob29Hc3OzKNeRLDabDUajUVQfiGQhYqCnp4eLrsbyPRDDFEmMlIHb7c5qzc5xIa8EgdVqhdFoRG1tbVomL9loPZTL5djY2MDKygp6enrQ2Ngo2loymQzhcBhLS0uoqqoSRDETM5tsDwUC3ppN39bWJkgRphDXQvz3STGc2WyOGOFKUgti9tmTa+ns7BT185XKtUi96cUaxrSysoLl5WUAB21g4XCYS/NI/dkhrwt/A84WZNDXUXbRsQoTMzVFIqlMoSMEHo8nqynM48KxEARHfTn5438z2VSlFgTki7O6uoqBgQHRCvBI8WBBQQF6enq46YAajQZVVVVHDv+J9zdXVlawuLiIvr6+lF0ThWZ1dRXz8/M5cS3E5Id/LfxiODIAyGw2w2KxYHFxEWq1mgtn6/V6wU5IpNvj5MmTWX9dSOtntq9FJpPB4/Fgd3cXp0+fhk6n41IL/GFMqXSQZMLu7i7Gxsay/roAbwmTVAd9CWWKRHLnQr7mpM6HpgyO5lgIgkSEw2FMTExwleSZGKtIKQhIoRnDMDh16pSoYoDvr1BfX4+GhoZDw39kMlnSDn0Mw2B6ehpmsxkDAwNJ1WiIBenI2NrayrrNLTG+WltbO9LkR61Wo6GhIaLP3mw2Y2JiAuFwOKLPPp3UAr/dMtvdHsBbgi3b3gvAW4KN34ZaX1/P5cnJMCbSQcIfqS10d8jW1hampqZw6tQpyRwi4yGkMEmlrZHvfcDveBISKgiS41gLAlIxDSCp8b9HIZUgIHMUSkpKUFRUJFqhGf9LGB2u4w//IdXZu7u73EQ6kuuurKyM2JBI9X4gEMDFixezakNMikfdbjcuXLggSBVxupBZDXa7PeUOi+g+e6fTCbPZjNXVVUxOTkKr1XL/XlRUlFTEbGZmhpvMl83cKRFJ6+vrWRePALioVjzBxu8gIYWJZrMZOzs7mJmZQXFxMSfUoocxpcrGxgZmZmZw5syZrIskIgbEECZHtTXyHRPJWGcxfAioIDiaYyEIYt0AScFWVVVVxg5+BCkEAfFFIHMUbt68KcqaqTgPRldnkza6jY0NTE1NcRtSSUkJZmdnUVhYiPPnz2fVztXv98NoNEKhUODChQtZrd4nraKkxTGT0cXEwresrAzt7e3w+Xxc18LCwgLUajUnDviV8oRwOIzx8XGu9TObfgfEiMlsNks+MjjWtSwuLmJtbQ3nzp1LuvOIb04VDAZhtVphsVhgMpkAICKSk8pnkExyPHv2bNajN2TE9OnTp0WdQEpIFD3Y39+HQqHgPA+iCxnTIRwOw+v10hqCJDgWgiCa1dVVzMzMoLu7G42NjYIVAIkpCPh1DnxfhHRHIB+1VrqdBNFtdCTXvbm5ibm5OS6/6nK5Uq47EArSPke83bPZ1UCiVGq1WpQWR41GE5FaIGkeUilPNiMS+iZDpM6fP5/V1k+GYTA+Pg6n05l1J0SSVtre3s5ImKhUKtTU1KCmpoYbxkTqDiYmJjjhTDwP4n03SJQi2yku4GAa3+TkpOjjyOPBjx7YbDbMzs6is7MTcrlcsLZGt9sNALTLIAmOlSAgYdnd3V1RivDEEgQMw2BiYoLzjOffBFIdgZwIMZwH1Wo15HI5nE4nurq6UFhYiN3dXc5qlpxWxZ4MSCDzERobG7PePid1X79CoYiolHc4HJzfwcTEBORyOee/n00xwJ8SmG1hwrIsl8o5f/68YGklmUwGnU4HnU6Hjo4O+Hw+rkiURHKIUOMPYyKDpAYGBlBWVibItaQLqV84ffp0SpbeYkBaLvldFkK1NRJBQFMGR3NsBAExvmEYBkNDQ6KcOJRKpeCCwO/3Y2RkhLvu6Jy7UCIk1gQzIWyISZEcvxisqqoqwhXuqLoDodjc3MTU1FTWJwQCbwmTpqamrJjZyGQyaLVaaLVa1NbW4vbt21Cr1VAqlXjttddQVFTEFYlmmutOhUAgwKVysj0lkGEYrsZkcHBQ1HoXjUaDxsZGNDY2HhrGFAwGYTAYuKhCttMnADhXzVyoXyC+FN3d3RHfa6HaGt1uN9RqdVbTiseFYyEIAoEAbt68ifLycvT19Yl2EhXytA4cmOQQa9ZTp07FvO6jRhInQ6LiwXQh3RsOhyPmJDx+3UFnZ+ehuoOysjKupTHT3B1/RG8uVKlvb29jYmIi64ObgLdc9vgjnfkdJCTXze8gEWuTJoOBiouLcerUqaymckiUIhAISD6vIVaR6PT0NBwOB1iWxfj4OJdayHQYUzqQYsZcqF8gtWDEDTEesQoTk40ekEmH2YwmHheOhSAgYVCDwSDqm0qKWYRgZ2cHo6OjaGtrS3iCzDRCIMbYYr/fz20kydgQx6s7IIVwGo0GlZWVqKqqSrnugF+9n+0RvXzvhVQnJ4oBMZAh5kcEfgcJOZVG+/uTDUuoSJvb7cbw8DDnVpnNm2/09MRsRimAgzZHv9+Py5cvQ6lUcmJtdXU1o2FM6V7L7OxsTogBMtq9q6srZWEdrzCRpE350QOn00kLCpPkWAgC4OCEI/bAByFSBiTMvrS0hNOnTx/Zz5tJUaEYYsDpdMJoNHIDZ9KJxkT32Fut1rTqDoLBIFckl2n1fqZEt/JlO/9L0id9fX0JDWT4ue7Ozk7O35+kekgbXTrmVAQSCeNHKbJFIBDA8PAwCgoKcObMmawObyJidn9/H+fPn+dSFvxhTHt7e1zdAV+sVVRUCN5GSzobjvLIkAK+GMjUsfIoU6Sf//znsNlsGV/zncCxEQRSkOlpnT9U6dKlS0lVtaaTpiAqWOgBRcTnXci8OL8QLpW6AzKTori4GP39/Vm9sedaK9/KygqWlpbSSp/w/f1JG53ZbMbIyAhkMhm3GSV7WiW1FMS6OpuQlEVJSQlOnjyZ1ZQF6bJwuVwYHByMKWblcjkMBgMMBkPEMCby/SgsLOTej1gtpqmwurqKhYWFnOhsIGKgo6NDFPtqfvTgJz/5CZ566il8+tOfpimDJJCx2ZqzmCLBYFDw9rxo1tfXsbm5iQsXLqT8WHIzUigUOHv2bNKn2bm5Ofj9fpw8eTKp3xejeBB4y0kuVcvSdOGPDTabzXA4HFzdgUajwfT0NGpra7M+ipYUyclkMpw5cybrFfOkfa6/v1/QKAVfrJnNZni9XhgMBk6sxSrII3MscsF/n0wKJa2o2fzMMAyD0dFR+Hw+nDt3Lq3PDBnGRDoXGIZJ272S3+aYbWMoMtq5o6ND9Lka//7v/47//J//M/72b/8WDz/8sKhr5QtUEPDY3t7G0tIShoaGUnocUbyVlZUp98UvLCzA5XLhzJkzR/4uP08GCGPvyTAMt8mcPXs2a6cHUnewvr4Op9MJlUqFurq6tOoOhIJEKciJM9vh5/HxcTgcDpw7d050V0Yi1iwWC/b29lBcXMyJg7KyMmxubmJmZgYnT57MuuWuy+XC7du3BR2lnC6kmDEUCqG/v1+QynbSYkrmLTidTpSVlXGpnkTDmJaXl7G0tJRTYkCK0c4vvfQSfu3Xfg1PPfUUPvCBD9DoQJLQlAGPdFIGm5ubmJiYQGdnZ1oT9pKtIRCjXiAUCnEnmYsXL2Y1FF5QUIBwOAyPx8NtvmTOAiC938H+/j6MRmNObDLRTohSRCmiHfpIKHt4eJiLUrW1tWW944N0WTQ2Nmal/ZNPKBSC0WgEy7I4d+6cYAWC/BbT9vZ2+P3+pIYxkVkWueB5IKUYeOWVV/D+978fX/va16gYSBEqCHikIghI+Jb06Kfr8pVMDQG/alYoMeD1ejEyMgKNRoPz589ntUeXYRjMzMxwhlPkJEMMePb29iLqDgwGA6qqqlBRUSFKoSFxAmxvb0dzc7Pgfz8ViI+FSqXKWsW8SqVCbW0tampqMDc3h42NDVRXV2NzcxNLS0tcaqGiokLS2Rakf52Mu84mwWAQIyMjUCgUote8qNXqQ8OYzGYzN4yJdA/s7e1lfZYF8JYYaGtrE10MvPbaa/jVX/1VfOlLX8J/+S//hYqBFDk2gkCKNzZZQUBObG63G5cuXcqoFS5RhIBfPMiyrGBiYG9vDyaTCVVVVeju7s5q8VUoFMLY2Bi8Xm/Mgj2ZTHak3wFpaRSitYi0ZUlVS5EIkhfXarXo6+vLepHc1NQUbDYbN7yJ1IFYLBZsbW1henoaJSUlXDSntLRUtO8tEW1H9a9LAelsIO3RUqaW+MOYyPsxMzMDu93OeR5k2kWSCaQDRQrRdvv2bbznPe/Bn/zJn+B3f/d3qRhIg2MjCKQgGUFAbtJqtRpDQ0MZn6zjRQiiiweFEgPEu5wU9WTzS0PcJ1UqVVJRikR+B4uLi5zfARn8k8pz45sf5UJbFgmF50JhJemycLvdEe1z/PejpaUFgUCASy2srKxAqVRykQN+KDtTiDHUUS2XUuD3+zE8PIyioqKsmzEBB6+Ny+XCpUuXoFaruWFMJPXG9zwQOyrocDhw+/ZttLa2ii4GTCYT3v3ud+Mzn/kMHn/8cSoG0uTYFBWGQiHRJxF6vV689NJLuHr1aswPlM1mw8jICOrq6gQ7We/u7mJubg5XrlzhfiZG8SDLslhaWsLy8nLWBpnwcTqdGBkZ4YxsMn2O/ME/ZrMZQPJ1B/zTb39/f9ZtZa1WK0wmE9ra2rLeykfy4gzDpFQkxw9lm81mBAIBrsU0k1QPcdnLhc+wz+fD7du3odVqsz5ki2VZzM/PY3NzE4ODg4eiZXyDKovFArfbDZ1OxwmERMOY0sHpdOL27dtoaWkR/TM8MTGBBx98EI8//jg++9nPUjGQAcdGEITDYS6PLhaBQAAvvPACfumXfunQBrK2tobp6Wn09PQI2i5jtVoxMTGBu+++G8BbkYFwOCxYVIDv9nf27Nms5xStVitGR0fR3NyM1tZWwb/A/LoDs9kMn88Xt+6AFFb6/X709/dLmgOPxdbWFiYnJ3HixAnU1tZm9VqEMvlhWRYul4uLHpAW02Sq5PnwXSKz7bLn9Xpx+/ZtbrBVNjchlmUxNzeH7e1tDAwMJJU683q9XGGizWbjhjFVVlZCr9dnJG6IGCDfbzGZnp7Ggw8+iEcffRRf+MIXqBjIECoIotZ4/vnnce+993KV3AzDYHp6GltbW+jv7xf8RmS322EymfD2t79dlE6CQCAAk8kEhmFS8kcQi/X1dczMzEi24cXzOyBphenpaW7Dy7bF7crKChYWFnJi+pzX68Xw8DBKS0sFN/khVfJmsxlWqxUFBQURqYXotUg6Z21tDf39/Vlvn3O73bh9+zZXg5NtMTA7O8s5aKbTjkqGMZHoQSgUivA8SOWeIaUYmJubw4MPPojf/M3fxJe//OWsp2vyAVpDwIN8oEhqgnii+/1+DA0NidL7TeoW+IM6hBIDLpcLRqMRZWVlog6FSgYS0lxfXxdFWMUjXt3B9vY25ufnoVAoYDAY4HQ6U647EApywtvc3IzossgWLpcLw8PDom14/Cr5cDjMpRYmJye5zYgIBJVKxflk5MKUQOJ5UFdXl3WbZmKnbTab0xYDwOFhTC6XK6Jwt7S0lBMHiYYxkdemqalJdDGwtLSEd73rXfi1X/s1KgYE5NgIAim+eDKZjNugyU2xpKQEly5dEu30KJPJEA6HOREilBggYfnGxka0t7dnvSiNTE4kFerZQq1Wo7i4GE6nE83NzdBqtbBYLNwwJ6n9Dkg6Z29vD+fPn8/6EBap+/oVCgW32fT09MDpdMJsNmNtbQ2Tk5NQKpVgWRanTp3K+mtDKuZzwfOAZVlMT0/DYrFgcHBQMA8RmUyG0tJSlJaWoq2tjSsUtVgsEcOYiOcBuS+6XC7cunWLsz0Xk9XVVbzjHe/Af/yP/xFf+9rXqBgQkGOTMmAYRrBJhIl44YUX0NbWhvn5eTQ1NaGzs1O0Lz7LsvD5fHjllVdQUFDAef5nOhKVhOV7e3uzbilLUhYsy+Ls2bNZtf4FDqZQTkxMHBqqEq/ugAgEMVItpH4hEAigv78/6+kcUswYPT0xGzAMA5PJBIfDgZKSEuzt7UGtVnORg0zz3KlCeulzYWYDy7JcEezAwIBkhmL8YUzE3lqv16OsrAwbGxvc4UNMNjc3cfXqVdx7773467/+ayoGBIYKAh4sy+KFF15AOBzGyZMnRd1M+cWDDMNwOTyz2cyF8KqqqlK68ZF84tbWFs6cOZP11jm3242RkREuD53NlAXwVo7+qAr1RHUHlZWVglRkBwIBjIyMQKlU5kT9ws7ODsbHx3OimJHY/wYCAW4WAD/PbTabOW9/fmpBLIgBkhQue0fBsixXIDw4OJjVIliPx4ONjQ2srKyAZVlucqYQw5hisb29jQcffBCXLl3Cd77znazfT/KRYyMIWJZFIBAQ7e8zDIOJiQlsbm6iu7tb1FNAouJBfrvW7u4uwuEwKioqUFVVlXACXSgU4nrF+/v7Rfe6P4q9vT0YjUbU1dWJGmVJBv5QoLNnz6aco+f7Hdhstoz8DoC3vCzKysqyPpUPeGssbi608oVCIYyMjAAAzp49G3OjJ97+pAjO5XJBq9VGCDahIFETIcb0ZgrLspiYmMD+/j4GBgay3hHjdrtx69Yt1NfXo7m5GTabjUsvZDKMKRZmsxnveMf/3955R0dVre//SSeFhPRmGiEQSEibkFC8gAYJkECCYEGkX1FRvAiioGK7lyYqWCjqVxegUoSELlJDL0ImIQkpBEiBtJn0SZ22f3/ktw8zkEDKlBPYn7VYLs+czDln2nn2W553HIKCgvDbb7/pXUA/rjBBgHv2sNQR0NfXV2uGJx0pHlT94ROJRNwEOicnJ7VxwaoGP0FBQXq1IQbumR/5+flpfaLZo1AdXawJodQVvwOgJQ+dkpICZ2dnXlSoU7/70NBQvY/F7WybY1NTk5pg09TYYOqG2L9/f71HTeiCRSKRQCAQ6D29pCoG7q9RUh3GJBaLUVdXx0XYHBwc2t1mSqmoqEBMTAz8/PywY8cOvf++Pc488YKAFgr16tULAwcORHJyMlcBrUmoDTEtHuzM2GIaxhaJRKitrYWNjQ2sra1RUlICJycn+Pv7690chU5X48Nqk3aJaKt+oaN1B5WVlbh27Rpn1qJvMUCjJmFhYXr3pqDjw+lkyc5+jlsbG0yL4DrizkdTKIGBgXB2du7UuWgKOumyrq6OV2KgvZ0WTU1NXOSAtpnSyMGjHCyrq6sRGxuLp556Crt379Z7DdLjzhMtCMrKypCWlobevXtzVcPJyclwdHTUaK7wfufBzoiB+2lubsatW7dQVFQEALCysuIiB9r0kG8L6tdQXl6OkJAQvU9Xo8ObqKWsLvKN9fX1EIlErdYdSCQSZGZm8qLQU7WzQRejlB8FTaHY2tpiwIABGvvsUnc+ulKtr6+Hra0tJxDauu6SkhJkZWXxQtQqlUqkp6ejoaEBAoFA7zdE6sHg6uraqbZL2mZK3xOpVAo7OzvuPVFNg9TW1mLChAmwt7fHnj179J4ieRLoNoIAaLkJagJCCG7duoW8vDwEBQWprQBSU1NhY2OjsT5abZgNEUI417bAwEDY2tpyX7Dy8nKYmJhw4kAbxT33wze3Pz6E5an5jkgkQkVFBQghcHR0hJeXl978DoCWH2Q68josLEzvq03au66LMdONjY1cNKeqqgoWFhacYKODf+hwq+DgYL2PdqZioLGxkSuu1CcNDQ24evUqXFxcNFIXpDocSywWo6amBkePHoVUKsVzzz2Hb775BpaWljhw4IBeR7M/SXQrQSCVStHV01UoFEhPT0d1dTUEAsEDodL09HT06NEDfn5+XToOoB0xQH33KyoqWl2JK5VKtRw3vRFpq7e+qakJKSkp3KQ3fRf7lJeXc1EfLy8vvYflqRmTj48Pl/IBdO93ANxLoQBtF+zpEl17Hqgil8u570l5eTkAwNzcHHV1dQgODta7UyRtu2xuboZAIND7e0XFgLOzs9aEm0wmQ0JCAnbu3Inz589DKpVi8uTJiI+PR3R0tN4Nu54EnihBQPOURkZGbdr4ZmZmwsjICP369evKqWrFeVAmk+HatWuQy+UICQl55EqchkxFIhFEIhGam5u50Jyjo2OXf2Rqa2uRmprKmcrou1q+qKgI2dnZvGidUx2YFBYWxlW+68PvALg3la9Hjx46H9HbGrSVTxdjcR8FNfkpKiqCmZkZmpub1cLYul6d0igObbvkgxigVs26iOK8+OKLaGxsxGeffYaTJ0/i0KFDyM7Oxty5c7F+/XqtHZvxBAmC6upqpKSkwNHR8aGTyXJycqBQKDBgwIBOHUcTxYOtUV9fj9TUVFhaWiIwMLDDK3EanqPioK6uDra2tpzfQUfD/LQCmy8rcTq6mA+Db1TD8o9KoTys7kBTE+hojr5Xr156n8oH3Pvs9OvXT+PFux1FdU4CjRg2NDRwgq26uhqWlpZchTxNLWgL6sEgl8s7NF1SWzQ2NuLq1atwdHTUevqtubkZU6ZMQVVVFY4ePaoWEcjPz4dIJEJERITWjs/oZoJAJpNBqVR2+O+Ki4tx/fp1+Pn5PfLmdfPmTTQ0NCAoKKjDx6FmQ/QcNSUGKisrkZaWptGefppPFYlEqK6uRs+ePTlx8KgbEe1bHzBggN7n0aumUMLCwvTudS+VSpGamgpDQ0MEBwd36Addte6ATqBTrQXpzPsukUggFAp1kqNvD6Wlpbh+/ToCAgL0/tlRHRksEAha/ezIZDK11IKqda+m0z0KhQKpqalQKBQICwvTe/pNl2JAKpVi2rRpKCoqwvHjx/Uu6p9UHmtBQFur7ty5g+Dg4HZVDOfl5aG6uhqhoaEdOjfVegEDAwONrcKKi4uRlZWFfv36ac0YhfqV0wI4arzj5OSktiJSHcITEhKi9751vhUz0gmBtHWuKzeL1vwOVA2q2vPcNCrGhzZHoCWlk5OTw4vqfdXBQKopnYdBrXupOGhqauKibPdXyHcUKgaUSiVCQ0N5IwZoOlCbnx2ZTIZZs2bh5s2bOHnypN7rN55kHltBIJfLce3aNdTX13do5VhYWAixWAyBQNDu89JWJwEtSAsKCtJZxTO9EYlEIpSXl8PAwIALlxYXF/PGCZGaSfHFjImuxKkfhCZ/QFVrQdpbd0DD8nxw2APAdcXwIaWjqVkAqvbWNTU1sLKy4r4rHZlHIpfLuWLP0NBQvdd3NDU14erVq7C3t9e6GJDL5Zg7dy7S0tJw6tQpODk5ae1YjEfTrQSBXC7ncvMPg+ZMzczMOlxNXVRUhLt37yIyMrJd+2tDDFB3PYlEgtDQUL1NeaMrotLSUhQXF3MdCy4uLnBwcNDbKqa+vl6tb13fOXFqOERnwGt7JX6/QdX9dQelpaXIyspCQECA3k11VHP0oaGheq8Up45/tbW1GrX/lUqlXESnoqIChoaG3HvyMPMdatVsaGiIkJAQ3ogBOzs79O/fX+v1EvPmzcM///yDU6dO6b0QmPEYCoLKykqkpKTAzc0N/fr16/DNorS0FLdv38bQoUMfuh8tHtR0J0Fzc7NaDlrfvceqA4q8vLzUTF5UbZR11c9OZyS4u7vrfR49cM/RTpspnYdB6w7ojcjIyAhyuZybWKhv50rqhthWjl6XqJr8aNODQXUeSXl5Ode1cH9ERy6XQygUcgOuniQxoFQq8c477+DMmTNISkrSu8U5o4XHShDcuXMH2dnZ8Pf37/QHTCwWIzs7G//617/a3EdbxYMSiQSpqam8W/nSsaaq19jQ0MCFsGtqamBtbc2JA21FNOjoYj7MSADuFVcGBgbqPdRJ6zvu3r0LW1tb1NTUAOh43YEmzyczM5MLy+s7xUQ7P5qbm3Vq8tPa5MyePXvCzs4O5eXlMDU15U1kIDk5metE0bYYeO+99/D333/j1KlTeh8nzbjHYyEIqG1uSUkJQkNDu5SjpBX9I0eObPXx+22INXXTpjlfb29vnYSdH0VJSQkyMzPh7+//yNYw1WmAFRUVsLCwgJOTE5ycnDRmo1xYWIibN2/y5uZ769YtLgyu7+JK2kdPC+SsrKw6VXegKVS998PCwvRe7Klava/vVj6pVIrS0lLcunULcrkcZmZm3Htia2urF2GgazGwdOlS7N27F0lJSejTp4/WjsXoON1KECgUCsjlcrVt1H2NKv+urkRqampw9epVREVFPfCYqhjQVFSAEILCwkLcunWLF218qhPwOlPMKJfL1WyUjYyMOHHQGRtl1c4GvuSg6cwGPrQ50puvRCJBWFhYmwVyj6o70NRNgPbRU1Mdfae8aI7ewMAAISEheq/epxMde/TogcDAQFRXV3PfF5lMxo0MVp1mqk2am5tx9epVnYmBzz77DNu2bUNSUlKXzd8YmqdbC4K6ujquzUtTtrl1dXW4cOECRo8erbZdG2JAqVQiJycHIpEIISEhvLjZ0errkJCQLk/AUyqV3OQ5kUgEpVLJtTO2J4RNb3a1tbW8GMJDba9pDpoPK9/O3Hzvrzugq1TaZtqVSYMpKSkA+GGNLJPJkJKSwpscvVQqRXJyMjdwS/V1JoSgrq6Oi7RJJJIujQxuD83NzUhOToa1tTUCAgK0KgYIIVixYgX+7//+DydPnkRAQIDWjsXoPN1WEIjFYly7dg2enp4aM+sBWvpvT58+jejoaBgYGGiteFAmkyE9PR3Nzc0ICQnR+/AOmUyGtLQ0yGSydtkidxQawqbioKmpCfb29nBycoKDg8MDNzNq00zDvPpeadKbC11p6vtmRw2QjIyMEBwc3Gkx3JbfATXeae/zSqVSrg2ULzdfVatmfdfjUDFAnUYfdT73izZTU1O11EJXr0fXYuCrr77C999/j5MnT3bK9I2hG7qVIFAqlZBKpSgoKEBubi4CAgI0PkpWKpXi5MmTGDVqFIyMjLRSPEhH89IfK32HMen5mJubY+DAgVo/H9VCK5FIBIlEgl69enFFiQC48+GD7z6dgaHLUcrtOR96c9HU+bQm2tpTd6B6PvevfPUBvdlRg6jufj4KhYKLtJWXl0Mul8Pe3p6LHnRULEulUly9ehU9e/ZEYGCg1sXAd999hzVr1uDYsWMd8ndh6J5uJQjoqrG8vFxrxVxKpRJHjx7FyJEjYWxsrPHiQdo2R61k9f1jVVNTg9TUVG6KmT7Op6mpibsJVVVVAQB69uwJf3//Dhm8aAOaluLLACfqwWBvb6/11rD21B1Qzw9bW1v0799f768PLZCzsbHR+sq3PaiuxDXROUQIgUQi4SI6dXV1sLGx4cTBo+pBVMVAQECAVt8vQgg2bdqE//3vf/j777/b7e3C0B/dShCIRCJkZmZq1aaWEIKjR49i6NChMDMz01iKALhXud+3b19etM2JRCJkZGTA19cXnp6eev/xrKiowLVr1+Dg4ABCCMrLy9Xy25318+8s1PrX09NT5+N5W6O2thZCoVAvHgxSqVStk8TMzAy9evVCeXk5XFxctO513x7oVD5d2O22B12Ik6amJi61QOdfUNF2fxFvR9MWXYEQgl9++QXLli3DX3/9hWHDhmntWAzN0a0EASEEzc3NWg9xnTx5Evb29nB1dYWdnZ1GVD2dxjdw4EBeeHXzqY0PuDezQXV0MQ2V0tY5AJw4eJj7myagYokvngfUE8LHx0fvfdsKhQJ3795Fbm4uDAwMYGRk1Km6A01SX1+P5ORkLtLFBzFw9epVzlNEF+ejWg9SXl4OpVLJpRasra2RlpamMzHw22+/4f3338f+/fvbbOFm8I9uJwikUqnWnp/WC1C73s5Uxt+PQqFAZmYmNzBJ321qdKhLWVkZLzob2tvmqFQqub56kUgEmUzG3YQcHBw0WuR39+5d3LhxgzdiiYoTf39/jdfMdIaqqiqkpqaid+/e8PT07FTdgSahcyTc3d0fMNDSB42NjUhOTtaJ419bEEJQW1vLvS/19fUwMTGBt7e3Vs3DCCHYsWMHFixYgL1797bavs3gL0wQoG3nQVVzF5FIBKlUyjm/tcfLn1aCA0BwcLDO7H3bQrVtLjQ0VO+dDao9/aGhoe1uc6QtWvR9oTbKXZ06pxrJCQkJga2tbaeeR5PQCYF8ESfl5eVIS0trc2jS/QN/evbsqeZgqembI02j0LSOvtHllMD2IJPJkJycDFNTU9jb26OiogKVlZUwNzfnvi9daTW9n927d2PevHnYtWsXxo4dq5HnZOiObiUIgJYiHU3SXudBehMqKyuDSCRCY2Ojmpf//ZW+dXV1SElJ4fKH+q5Mp9MBaU+2vtvmqJVsY2Njl3v6GxsbOXFAbZRpVKe9KyFVt7+OiBNtkp+fj7y8PF5MCATuzW0ICAhol4FWa3UHbeW3OwOt8ejduze8vLy69FyagNYwODo68qKmgooB2j1EX2+5XK6WWgBaWk0dHBxgb2/f6d+G/fv3Y86cOdi+fTsmTJigseugrF+/HmvWrEFpaSmCg4Px/fffIyIios39d+3ahWXLliE/Px9+fn5YvXo1xo0b1+q+b7zxBn788UesXbsWCxYs0Pi5dxeeaEFAIwMKhaLDxYP19fXcTUgikcDW1pYTB/X19UhLS2t1BoA+oOKELzMSaM867aHXpDihNyGRSKS2EnJycmqzY4FOl6SjnfUdOaGjr6k7o7W1tV7PB7gXqRg4cCDXGtoRNOV3QKmsrERqaipvajz4VsNAxcCjfBhUW03FYjEaGhpga2vLpeLaawb2119/YcaMGdi6dSsmTZqkyUsBAOzcuRPTp0/Hpk2bEBkZiXXr1mHXrl3IyclpNXJ24cIFDB8+HCtXrkRsbCy2bduG1atXQygUIjAwUG3fPXv24PPPP4dYLMbixYuZIND3SXQEqVQKTZyyJscWNzY2QiwWo6ysDNXV1QAAFxcX+Pr66t1dr6KiAmlpabyplKfTE2nkRJviRHUlJBaLYWRkxIkDau5Cra8JIQgJCdG7AZKqW2RYWJjeRl+rUlBQgNu3b2ssUtFZvwMKTVv069fvkXM2dAEVAy4uLho1SessMpkMQqEQpqamCA4O7tB3rKGhgetaqKqqgoWFhVpqobVrO3bsGKZOnYqff/4ZU6ZM0eSlcERGRmLQoEH44YcfALR8Tzw8PDB//nwsWbLkgf1feukl1NfX4+DBg9y2wYMHIyQkBJs2beK2FRUVITIyEkeOHEFMTAwWLFjwRAsC/Tri6AlaL6Ap50Fzc3N4eHigsbERdXV1cHd35yyQLS0t4eTkBGdnZ63kUB9GUVERsrOz0b9/f14Uo+l6dLGxsTGcnZ3h7OzMjaQViUS4fv06FAoFbG1tIZFIYGlpyQt3PdVIxaBBg/RujUxrKu7cuYOwsDCNFaAaGBigV69e6NWrF/z8/Li6g5KSEmRnZz+07kAkEiE9PV2tG0Wf1NXVITk5GW5ubrwYx90VMQAAFhYW8PT0hKenJ2QyGSoqKlBeXs65dDo4OEChUMDLywu9evXC6dOnMXXqVGzYsAEvv/yyVq6JtksuXbqU22ZoaIhRo0bh4sWLrf7NxYsXsXDhQrVt0dHR2Lt3L/f/SqUS06ZNw+LFi5mV8v/niRIE1IaYTkzUlMeAXC5Heno6GhsbERkZyUUFZDIZysvLIRKJkJ+fjx49enCDfrRpuHP/ND4+5J/13cZnaGgIe3t72Nvbw9/fH2VlZcjMzISBgQGqqqqQlpbWZj2ILpDL5UhNTYVSqcSgQYP0XuNBCMGNGzdQWlqK8PBwrXbHWFpawtLSEt7e3mp1B7dv31arO2hubkZmZiYGDhzIiwJLKgb40t1A7bU7Kwbux8TEBC4uLnBxceG6fMRiMZYvX469e/di4MCBuH37NpYtW4Zp06Zp7frLy8uhUCjg7Oystt3Z2RnZ2dmt/k1paWmr+5eWlnL/v3r1ahgbG+Odd97R/El3U7qdIKDV/x3l/uJBTdoQp6amwtTU9IEfchMTE7i6usLV1ZXLoYpEIgiFwi5PAWwLpVKJ69evo7q6GoMGDdJ7myMA3LlzB7m5ubyplK+pqUF2djY8PT3h6+uLhoYGiEQiFBUVISsrCzY2Npw40EXKh/rum5qaIjQ0VO+RCkIIMjMzUVlZiUGDBuk07WVqagp3d3e4u7ur+VDQ8cW2trYghEAul+vV8lsikSA5OZmrE9I3dLCUsbGxVmY3GBoawtbWFra2ttiyZQv+/PNPrF27Fo6Ojvjoo4+wbds2jB8/HhMmTHhooR9fSE5OxrfffguhUKh3Iccnup0g6AzaGE4E3LP9dXR0fKStraoAoFMARSIR0tLSAEDN66CzX2aaD1cqlYiIiNB7myMtjisqKkJYWJhWrKY7ilgsRnp6Ovr06QNPT08ALStUHx8f+Pj4cDbKYrEYubm5XMrHyclJKxPnGhsbIRQKOV95fRd80gmTdXV1ek9b0JqP5uZmlJaWol+/fmhubsatW7eQkZGhc78DChUDfGl1lMvlEAqFOpvqmJycjHfffRefffYZ3nnnHVRVVeHvv//GgQMHsGzZMhw5ckSjx3NwcICRkRHKysrUtpeVlbXZ7eLi4vLQ/c+ePQuRSMT9BgAtKbtFixZh3bp1yM/P1+g1dBe6XVGhTCbj/ALagyaLB1UpKyvD9evXu2z7SwhBdXU117Egl8vVvA7a++VuaGhASkoKN0BF36tMGqmoqalBaGgoL4rjaE1FYGDgA+HE1qApH9qeZWJiwkUONBHVoXMSqKDU90qls+OUtQktaLx/dklrfgeqrabaei2p74GXlxd8fHy0coyOQCMDtGNH29/7a9euISYmBkuXLsV7772ns89sZGQkIiIi8P333wNo+X3x9PTE22+/3WZRYUNDAw4cOMBtGzp0KIKCgrBp0yZUVFSgpKRE7W+io6Mxbdo0zJo1C/369dPuBfGUbicI5HI5VwPwKDRdPAi03MBpf7imQ+DUXYyKA9URwY6Ojm3mlWmxnqurK29anujo4pCQEF5EKvLz85Gfn9/pSnnViXNisRiEEG512hkHy5qaGqSkpMDDw4MX3R/0xgKAF+OdASAvLw/5+fmPLGjUtt8BpaamBkKhkBf20cC998zQ0BAhISFaFwPXr1/H2LFjsWDBAnz00Uc6/czu3LkTM2bMwI8//oiIiAisW7cOf/75J7Kzs+Hs7Izp06fD3d0dK1euBNDSdjhixAisWrUKMTEx2LFjB1asWNFq2yHF29ubdRno+wS0gbaKB5VKpVpuVdPmNQYGBrCxsYGNjQ369OnDeR0UFhYiMzNTzQiJ3mRppEI1BK5PmpqauNHOfMmHU6vm8PDwTr9nNHzt6Oio5mB548YNNDc3cz31DxNuFDrEiS/vGfWFMDEx4UW3BS2KvXv3brves7bqDtLT00EI0cicBWqCRCOC+kbXYiA7OxuxsbGYN2+ezsUA0LLiF4vF+OSTT1BaWoqQkBD8/fffXKSvsLBQTfgNHToU27Ztw8cff4wPP/wQfn5+2Lt3b5tigNHCYxch0FbxoFQqVVv16jq3St34ysrKUFtbCxsbGxgbG6OyshJBQUGdMovRNBKJBCkpKbwZFUzz4RKJBGFhYVoxHKIOlrSnvq6ujjN2cXJyeuBzQt3++NI219TUBKFQCEtLSzU3O31BCEFubi5KSkogEAi6VBTbmukOFdUODg7t/g5TMdCnTx9emCApFAoumqML0Z2bm4uxY8di2rRpWLlypd4/Iwzt0e0EgUKhgFwub/Ux1XoBAwMDjX1wqZkOLfzS9wqqsbERGRkZqKmpAQBYWVnB2dm5Q1a9moZO46O5VX2HwFXTFqGhoTrLh1OTKpFIhOrqarXcdlVVFXJzczvt9qeNc01OToatrS369++v9x96ah9dXl4OgUCg8e6GztQdVFVVISUlhTeOiLoWA3l5eRgzZgwmTZqEb775Ru+fEYZ2eWwEgbaKB+mN7qmnnuKF8Yiq50FoaCiMjY25G1BFRQXMzc25qviePXvq5HxLSkqQmZnJGwOk5uZmCIVCmJmZISgoSG/taVKplPOhKC8vByEELi4u8PDwaNP1TVfQgkYnJyde+O7TVseqqioIBAKt20e3p+6A2iO3NchJ1ygUCq6LKCwsTOtioLCwENHR0YiJicEPP/zAxMATwGMhCLQlBmhVur+/Py8sUpuampCamgoTExMEBQU9kKumVr1lZWVqVfHU60DTP/qqxXoPG12sS+rr6yEUCnkzt4Ea/JSUlMDHxwcSiQRisRiGhobc6tTOzk6n50kr5Z966ileGOqotjp2ddBVZ1CtO6DCrWfPnqiuroafnx8vagZUxQBdCGiT4uJijB49GlFRUfjxxx/1/j1i6IZuLQjuLx7UVL0A7Z+/e/cubybN0fy8vb19u8K7qj9yYrEYBgYGcHR0hLOzM+fj3xVoeFckEiEsLIwX0wFp5b6urJEfBS1Cra6uRlhYGBcCVyqVXKupWCyGXC7nuknaM1a7K1RVVSE1NZU3lfJKpZIbyS0QCPTe6kgIQWFhIXJzc2FiYgKZTNapugNNomsxUFpairFjx2Lw4MH49ddf9Z4iZeiObicIlEolZDKZmtkQoDkxQP3kJRIJb/rny8vLkZ6eDm9vb3h7e3f4OlVvQCKRCAqFQs0IqaNfeIVCwf2I82E6IHBv4I2vry8vRuHS8c5NTU0ICwtrs/WSEAKJRMKJg/r6+la7STQBfY34FAK/du0aZDIZwsLCeNHqSF+j/v37w9XVtc26A0dHR60YVd0PfY3kcjnCwsK0LgZEIhHGjRuHkJAQbN26Va9ukAzd0y0FgVQq1UrxIA3JU/tPfa9WAODu3bvIycnRWFW6asucSCTiWuboDehRPwBSqRSpqakwMDDgTb96cXExsrKyEBAQ0KZzmS6hjpFAx3v6778BWVtbc2mfrhTZ0e4GvrxGdHYDnTLJh88RdbEcMGBAq6+Rak2INv0OKLoWAxUVFYiJiUHfvn2xfft2XrwnDN3S7QRBcXExLCwsYGRkpNF6gdraWqSmprY7JK9tVG1/g4ODYWtrq5Vj1NXVceKgvr5ezQjpfkHU0NAAoVAIa2trBAQE6D2USAhBQUEB8vLyeFPDQAsa6Rz6rrxGzc3NXMFoZWUlLCwsOlUwWlRUhJycHN50N1DBZGhoiODgYF6sQqlvQXtdLO83qlIqlWpGVV29JqVSidTUVJ2JgaqqKowfPx4eHh7YtWsXLxZDDN3T7QTBCy+8gFOnTiEmJgYTJ07EiBEjuvzhpZP4aF5V37lnhUKB69evo7a2VqdpC7o6FYlEqK2tRa9evbgbUHNzM1JSUuDm5saLme+q0/hCQ0NhbW2t1/MB7gmmXr16abygUS6Xq3UsmJiYcGmfh61OCwsLcfPmTYSEhPCiFoaO5+WLCRJwTwx0dopiW34HVCB0tO5AqVSqWUhre6VeW1uLCRMmwN7eHnv37tW7syhDf3Q7QSCXy3H27Fns2rUL+/btQ0NDA2JiYhAXF4eoqKgOffnoCvP27dsICAho18pA29CQPNASbtaXUm9qauIiB1VVVQBahoz069dPp9PvWkN1ToJqsZ4+kUgkEAqFcHFx0bp9tOpwLNXVqWpNCCEEt2/f5kZgP8z6V1fQufYWFha8MEEC7jl9ajJ60pW6A12Lgbq6OsTHx8PCwgIHDhzgRT0QQ390O0GgikKhwIULF5CQkIA9e/aguroaY8aMQXx8PJ577rmH3iiUSiWys7MhFosREhLCix9MaoDEl5A8cK+Gwc3NDU1NTaioqND6BMCHIZfLuUK00NBQXqxmqJNdZ4s+u4Lq6lR1/oVCoYBEIkF4eDgvRmBTR8SePXsiICCAF2KgtLQUmZmZWk2ldKTuQKlUIi0tDc3NzToRA/X19Zg0aRIMDQ1x6NAhXhRQM/RLtxYEqiiVSvzzzz+cOCgtLcXo0aMRFxeHMWPGqLXFicVi3LhxA4aGhggNDdXriFdKVVUVrl27xpuWOVU/+ZCQEG7SHJ0ASEPXZmZmnDjQttkOTVvQcDMfcs+0EI0Plfu0JiQzMxMSiQQAuLSPo6Oj3lZ/qo6IAwYM0PtnG2gx08rKykJQUBAcHBx0csyH1R3Y2toiMzMTTU1NEAgEWhcDjY2NePHFF9Hc3IzDhw/zom2YoX8eG0GgCi3I2b17NxITE1FQUIBRo0YhLi4Ovr6+mDFjBsaPH4+VK1fy4qZCf5z4cFMB7vXPV1VVISwsrM2Vg0KhQEVFBRe6NjIyUjNC0uQqkObnbWxseLPCpA6N7S1E0zb3G/wA4CIHVVVVsLKy4sSBriI7DQ0NSE5O5uZb8EEMFBcXIzs7G8HBwXorRL0/stPQ0AAjIyP07t0bLi4uWl2kNDc3Y8qUKaiursaRI0d4ER1l8IPHUhCoQghBRkYGdu/ejd9//x13796FQCDAq6++ivHjx8POzk5vP1Kqo5R1uVJ5GDKZDGlpaR0OySuVSlRVVXF1B3Q8MM1rd+UGXltbi5SUFJ3k59sLLdbT501FFep7QMPN99eetBXZoaFrbbymdXV1SE5OhqurKy8KUYF7HRd8KbKkxkz19fVwdnZGZWWlVv0OpFIppk2bhuLiYhw/flwr3UuM7stjLwgov//+O15//XW89957MDU1RWJiItLT0/Gvf/0L8fHxGD9+PBwdHXX2o6VUKpGVlYWKigqEhobyImRHRxd3dQYAIUTNCEkmk8HBwQHOzs4dbsmio4J79+7NC2c91VQKX4r1OtrT35aLpaOjI+zs7DRSuyKRSJCcnMwbe2SgpR7mxo0bvBMD97s00roDsVjMiTdN+B3IZDLMmjULt27dwokTJ7S2AFm/fj3WrFmD0tJSBAcH4/vvv0dERESb++/atQvLli1Dfn4+/Pz8sHr1aowbN447548//hh//fUXbt++DRsbG4waNQqrVq3ixdyUx40nQhB8+eWXWLFiBf7880+MHj0aALgq7N27d2PPnj1ITk7GkCFDEB8fjwkTJsDV1VVrP2J0FS6VSnlTw0CH3Wjah0HViU8kEqGxsVHN6+BhNy++DU2ids1isRhhYWG8KNaTSqVqdRUdvZlTF0sauqbizdHREQ4ODp3KZVMLaTr5kg/cuXMHubm5CA0N5cWqmKZ36uvrH2rZ3FrdATUS64i4lsvleO2115CRkYGkpKROtVe2h507d2L69OnYtGkTIiMjsW7dOuzatQs5OTmtHvPChQsYPnw4Vq5cidjYWGzbtg2rV6+GUChEYGAgampqMHnyZLz22msIDg5GVVUV/vOf/0ChUODq1atauYYnmSdCEJw/f54raGoN6l+emJiIxMREXLx4EREREYiLi0NcXBw8PDw0Jg4aGxuRmpqq90l8qtCJjp6enujdu7dWV3N1dXUQi8UoKytDXV0dbG1tuboD1fREQUEBbt26xZtUCv0Bl0gkCAsL40V7Fq3ct7S01EgbX2tGVR3tp6cdF76+vrwYCgS0pHdu3bqF0NBQrjhWn7RXDNxPZ/0OFAoF5s2bh3/++QenTp3SiONpW0RGRmLQoEH44YcfALRcq4eHB+bPn48lS5Y8sP9LL72E+vp6HDx4kNs2ePBghISEYNOmTa0e48qVK4iIiEBBQQFvPmOPC0+EIOgIhBAUFxdjz549SEhIwLlz5xASEsKJg67cMGkunI6c5UNhXGlpKa5fv66XiY6NjY3czaempgY2NjZwdHTk+rj5EpKnFrK0N5wPLm60cl8bJkiUhoYGLnJAbZRpXUhrhaZ8GxcMgPMZCQsL48VnSbXwMzw8vEufpbb8DhwcHGBlZQVDQ0MolUq88847OHPmDJKSkuDh4aHBq1FHKpXCwsICu3fvRnx8PLd9xowZqK6uxr59+x74G09PTyxcuBALFizgtn366afYu3cvrl271upxjh8/jtGjR6O6upoXhmSPE/pfnvIMAwMDuLu74+2338Zbb70FkUiEvXv3IiEhAV988QUGDBiAuLg4xMfHd6jAjban9e7dG15eXnrPqaqaMgUHB+tlFW5ubg4vLy94eXmhubkZZWVlyMvLg1QqhaWlJSoqKmBkZARLS0u9vV4ymQwpKSkwMjJCeHg4LyI6NL1DhaW2XhsLCwvu/ZFKpZw4uH37NszNzTlxYG1tjYqKCqSlpcHf358X6R0AXMEuX8QAIQTXr1/XiBgAAEtLS1haWsLb21ut7uDQoUNYu3YtnnnmGSiVSly+fBmnTp3SqhgAWgZDKRSKBzpunJ2dkZ2d3erflJaWtrp/aWlpq/s3NTXhgw8+wJQpU5gY0AL6/3XjMQYGBnB2dsbrr7+OuXPnorKyEvv27UNCQgJWr14NX19fxMXFYeLEiQ/Nu9P8JV/cEAkhyMnJQVlZGcLDw3nxxTIyMuIKqAQCAWprayESiZCXl4cePXpwaQVra2udiQPVkHxgYCAvjKJqa2shFAp1XqxnamoKd3d3uLu7Qy6Xc+2mQqEQBgYGkMvl8Pb25sXgJADIy8tDQUEBBAIBLz7fVAxIJBKtjHk2NTWFm5sb3Nzc0KdPHzg6OuKXX37B1atX0aNHD3z88ceIi4tDdHQ0L16PziCTyfDiiy+CEIKNGzfq+3QeS5ggaCcGBgawt7fH7NmzMXv2bFRXV+PAgQNITEzEunXr8NRTT3HiICgoCIaGhpDL5fj6668RHh4OgUDAi/wlHe9cV1eHiIgIXuTCaWGcsbExtwq3srKCm5sbFAoF1y4nFAphbGys5nWgrRtifX09hEIh7OzseDHsCmgxr0pNTeVmbugLY2NjODs7w9nZmZs0aWdnh+LiYty5c6dTRW+a5Pbt2ygsLIRAIOBF9w4VA7W1tRAIBFp31zQ3N8f169eRl5eHa9euobq6Gvv378dnn32GV199FWfPnn1o1X9ncXBwgJGREcrKytS2l5WVtSkUXVxc2rU/FQMFBQU4efJktxU1fIfVEGgAiUSCQ4cOITExEYcPH4aDgwNiYmIgFApx584d/P3337yotubj6OLGxkbO0jYwMPChN15VD3+RSMS1yzk5OcHOzk5jN226CueLayTQEo5NS0vjVX6e9vTTwk9CCBfZEYvFaGxshJ2dXZvTMzWN6vwGvomBmpoahIeHa10MEEKwfPly/PLLL0hKSnqgkPrmzZvw8PDQ2nlERkYiIiIC33//PYCW76ynpyfefvvtNosKGxoacODAAW7b0KFDERQUxBUVUjGQm5uLpKQkXkzsfFxhgkDDNDQ0YMeOHXj//fdhYGCAXr16ITo6GnFxcRg8eLDews4NDQ1ISUmBlZUVb8LfdCCQs7Nzh3PhtF2OigOFQvHAgJ/OQDsu9L0KV6WsrAwZGRkYMGCAVivEOwJNgz2sp7++vp4TB7W1tbCxseGiO5qOTFF/iKKiIggEAl60hBJCkJmZierqaggEAq23FxNCsGbNGvzwww84efIkgoKCtHq81ti5cydmzJiBH3/8EREREVi3bh3+/PNPZGdnw9nZGdOnT4e7uztWrlwJoKXtcMSIEVi1ahViYmKwY8cOrFixgms7lMlkmDx5MoRCIQ4ePKiWcrWzs+NFge/jBBMEGiYrKwvjxo3D0KFDsWHDBpw5cwYJCQnYv38/zMzMMH78eEycOBHDhg3TWTi1pqYGqampvHL6ozdeTQwEUl2ZlpWVobm5mQtbd6SXno7B7tevn847LtqCrsK1OYCno9Bi1I608TU1NXEV8ZWVlRodkEUIwc2bN1FcXIzw8HBeDOnRhxj47rvvsGbNGhw7dgwCgUCrx3sYP/zwA2dMFBISgu+++w6RkZEAgJEjR8Lb2xubN2/m9t+1axc+/vhjzpjoyy+/5IyJ8vPz24yuJiUlYeTIkdq+nCcKJgg0SGNjI3x9fTFnzhx88cUXaj9yUqkUSUlJ2L17N9d+ExMTg4kTJ2L48OFaU7q0u8HX1xdeXl5aOUZHoStebRgOEUJQX1+PsrIytV56evNp63WmN97AwECtmbZ0FGqPzBdnPeBefj4sLKzTeVxqo0yd+ExMTNRslDuS+iGEIDc3F6WlpRAIBLwRA1lZWaisrER4eLhOxMDGjRuxfPlyHDlyRCv1AYwnAyYINExhYeEjzTLkcjnOnDmD3bt3Y+/evWhqakJMTAzi4+PxzDPPaOwHhI4uDggI4E31N73J6WrF29DQwKUVamtruel/Tk5O3OtM29OCg4N5ceMlhCAvLw+FhYW88WJQDcmHhYVpLD+v6sQnEokAgDPaeVTqhxCCGzducN0yDxt3riv0IQZ++eUXLFu2DH/99ReGDRum1eMxHm+YINAzCoUC58+f58Y219TUYOzYsYiLi8Nzzz3XqR85WlxVWFiIkJAQXli1tjVOWZfQsDWd/tezZ08YGhqirq6OV+1pubm5KCkp4VUunN54tbkKpzMw6Hv0sNQPbZ0Vi8UQCAS8EQPZ2dmoqKjQmRj47bff8P7772P//v0sfM7oMkwQ8AhqIkLFQVlZGVeQOGbMmHbdHOjQpMrKSoSGhvLihqJ6Tg8bp6xLmpqakJ6ejtraWhBCYGFhAScnJzg7O+tsNPD90NVlRUUFr25y+jgnaqNMxYGqzbWDgwPy8/NRXl6O8PBwXrTOqooBgUCg9XMihGD79u1YsGAB9u3bh6ioKK0ej/FkwAQBT1EqlUhJScHu3buRmJiIO3fuYNSoUYiLi8O4ceNaNeiRy+Xc0KSQkBBeDE2iY3mbmpp4M8iJejHU19cjLCwMxsbGaqOBTU1NubSCjY2NTsSBqqVtWFgYL14npVLJFcbpYsX7MBobG9WiOwYGBvD09ISbm5tenSwB9WiFrgTK7t27MW/ePOzatQtjx47V+vEYTwZMEHQDCCHIyMjArl27sGfPHty4cQPPPvss4uLiEBsbC1tbWxQWFmLx4sV49913MWjQIF5Y7PLR94COClYqlQgNDX3gnFRHA4tEIhgaGnLiwNbWVisGRVQ0NTc382ZWgqpA0YWZTnuglfuVlZXw9PREVVUVKioqOCdLR0dHnQk41XPStRjYt28f/v3vf2P79u2YMGGC1o/HeHJggqCbQUOTdGxzRkYGIiMjkZ2djfDwcPzxxx+8WF1SwyE++R5IpVIIhUKYmpq2a1SwUqlEVVUVJw4IIWpGSJq4JipQCCG8EU1KpZKL6vBFoKga/Ki28SkUCs5GWSwWw9DQUCtmVW2d040bNyASiXQmBg4dOoSZM2di69atmDRpktaPx3iyYIKgG0MIwY4dOzBnzhx4e3vjxo0bGDZsGOLi4jBhwgS4urrqJZQqkUiQkpICR0dH+Pv788L3oCOOiK1BR89ScSCVStUK3joTkaGWzSYmJu0SKLqATnaUyWQICwvjjUBRnQPQVrRC1axKLBZDLpfD3t6+S+9RW+ijw+HYsWOYOnUq/u///g8vv/yy1o/HePJggqAbs2vXLsyaNQtr167Fv//9bxQUFCAxMRGJiYm4dOkSIiMjMWHCBMTFxcHDw0MnN2bqt+/l5QUfHx9eiAE6HVBTAoUWvFGvA2rR6+zsDAcHh3atqJubm5GcnAxLS0sMHDiQF7MSVKMVoaGhvEg7dTZ1QQiBRCLhBFxDQ4OajXJXUiCq3ge6EgOnTp3Ciy++iA0bNmDatGm8+F4xHj+YIOim1NTUIDg4GOvXr0dMTIzaY4QQFBcXIzExEQkJCTh//jxCQ0MRFxeHuLg4rd2oqdMfn/z2a2pqkJKSAg8PD/Tu3Vsr100tekUiESQSCVcN7+jo2Gr6prGxEcnJyejVqxcGDBjACzGgOuY5JCSEF9EKpVKJ9PR0NDQ0dHlCYH19PVeUSG2UaWqhIzd0fYiBc+fOYdKkSVi3bh1mz57NxABDazBB0I1pbm5+5EqHEIKysjLs3bsXCQkJOH36NAICAjhxoCkrY+ptzyenv4qKCly7dg19+vR5pFmUplCthq+uroa1tTVXlGhhYcFFK5ycnDo8v0Fb0NoKMzMzBAUF8UoMNDY2aryOobm5mXuPqI0yFQc9e/Zs8z3Rh0XypUuXMHHiRKxcuRJvvvkmLz4vjMcXJgieIAghqKysxN69e5GYmIjjx4/Dz8+PG9vcv3//Dv/gqJogdcTbXtvwYSCQVCrlIgeVlZUwNzdHU1MTXF1d4e/vz4vIQHNzM4RCISwsLHiTulAqlbh27Rqam5shEAi0Wscgl8vVWk5NTEw4caBqo6wPMZCcnIzx48fj888/xzvvvMPEAEPrMEHwhEKL5Pbv34/ExEQcOXIEnp6eiIuLQ3x8PIKCgh55c1AqlcjOzkZ5eTnCwsJ4YYIEtFg237hxg1cDgcRiMdLS0mBubo7GxkauVc7JyalVTwld0NTUhOTkZFhbWyMgIIAXYoC2YEqlUp0XNaqO1xaLxSCEwMHBAY6OjqipqUFJSYnOxMC1a9cQExODpUuX4r333mNigKETHgtBsH79em66VnBwML7//ns24KOD1NbW4tChQ0hMTMThw4fh5OSECRMmYOLEiRAIBA/cLBQKBZff5YuRDiEE+fn5yM/P51W0ory8HGlpaVxtxf2tckZGRmpeB7r48ad1DHZ2dp2KDGkD2uEgl8tb9YjQJVQwi8ViFBUVQSaTwdbWFm5ubu0uHO0sGRkZGDduHN599118+OGHvHhvGE8G3V4Q7Ny5E9OnT8emTZsQGRmJdevWYdeuXcjJyeFNLru7UV9fj7///hsJCQk4dOgQbGxsMGHCBMTHxyMyMhIVFRWYMmUK3njjDcTHx/OiNY22gZWWlmp0+E5XeVTqorVVKRUH2uqjr6+vR3JyMq/qGBQKBVJTU6FQKDj3SD5w69Yt3LlzBwMGDOCslCUSCTcky9HRUaP+A3R8+uuvv47PP/+cF+8N48mh2wuCyMhIDBo0CD/88AOAlh9YDw8PzJ8/H0uWLNHz2XV/GhsbcezYMSQkJODAgQMwMTGBsbExPDw8kJiYyItVuKrFblhYGC9mAABAcXExsrOz2526oMN9aN2BXC5X8zrQRLFfXV0dkpOT4ebmhj59+vDihkPFAHWP5JsYCA8PV0uHNTU1cQKuqqoKVlZWnDjoyhyM3NxcjBkzBjNmzMCKFSu0lsLpaER1165dWLZsGfLz8+Hn54fVq1dj3Lhx3OOEEHz66af4+eefUV1djWHDhmHjxo3w8/PTyvkztEe3FgRSqRQWFhbYvXs34uPjue0zZsxAdXU19u3bp7+Tewy5du0aRo0aBWdnZ25UbWxsLCZOnIh//etfenG0U52VEBYWxguLXeDemOeQkJBOjVQmhKC2tpYTB01NTZzJjqOjY6eiMrW1tRAKhVptwewo1PsAAEJDQ3nR4QCAK5S9Xwzcj0wmg1gshlgsRnl5OczMzDo1B+P27dsYO3YsJk+ejK+//lprYqCjEdULFy5g+PDhWLlyJWJjY7Ft2zasXr0aQqEQgYGBAIDVq1dj5cqV2LJlC3x8fLBs2TKkp6cjMzOTF6lERvvp1oKguLgY7u7uuHDhAoYMGcJtf//993H69GlcvnxZj2f3eHHhwgXExsZi/vz5+Oyzz6BQKHD69Gns3r0be/fuRXNzM2JjYxEXF4dnn31WJzdmmUzG3Uz4YvtLCEFeXh4KCgoQFhYGGxsbjTynqtdBXV1dh012ampqIBQK4ePjA29v7y6fkyaQy+VISUmBoaEhb7wPAHDvn0Ag6FDqidaGUIFgYGAAR0dHODo6PtTquqCgAGPGjEFsbCy+//57rRZ3djSi+tJLL6G+vh4HDx7ktg0ePBghISHYtGkTCCFwc3PDokWL8N577wFo+aw5Oztj8+bNzFGxm8GP2ByD96xevRorVqzAG2+8AQAwNjZGVFQUoqKi8MMPP+DcuXNISEjAggULIJFIMHbsWMTFxWHUqFFaCeHTdrkePXrwpneemtbQanRN1TEYGBjAysoKVlZW6N27NxobGyESiVBSUoLs7GzY2Nhwq9LW8tnUPdLX11dnfgyPQi6XQygUwtjYmDe2zUDnxQAAteJQaqMsFouRnZ0NmUzGdSzY29tz0bSioiLExMQgOjpa62JAKpUiOTkZS5cu5bYZGhpi1KhRuHjxYqt/c/HiRSxcuFBtW3R0NPbu3Qug5fUqLS3FqFGjuMdtbGwQGRmJixcvMkHQzejWgoDmVcvKytS2l5WVwcXFRU9n9XiyZ8+eNn+sjIyMMGLECIwYMQLr1q3DpUuXkJCQgA8//BCvvfYaRo8ejfj4eERHR2ukNbGhoQFCoZBXTn+EEGRlZaGiogKDBg3Sah2Dubk5vLy84OXlhebmZi5ykJubCysrKzg7O8PJyQmWlpacOROf3COpKyLfxEB+fn6nxcD9GBoaws7ODnZ2dujbty/q6uogEomQn5+PuXPnQiKR4Nlnn0ViYiKGDx+OjRs3av1zXF5eDoVCAWdnZ7Xtzs7OyM7ObvVvSktLW92/tLSUe5xua2sfRvdB/7+kXcDU1BQCgQAnTpzgtimVSpw4cUIthcDoOu39sTI0NMTQoUPx9ddf4+bNm0hKSoKfnx/++9//wtvbGy+//DJ27NiBmpoadCZbJZFIcOXKFTg6OvKmd5666lVVVWldDNyPmZkZPDw8IBAIMGLECHh6eqKmpgaXLl3CmTNnkJKSAm9vb7i7u+vsnB6GTCaDUCiEiYkJr9IE+fn5yMvL00qHioGBAXr27AlfX18MGTIEX375JYYOHYo///wTN2/eRFZWFr766ivk5ORo9LgMRkfR/69pF1m4cCF+/vlnbNmyBVlZWXjzzTdRX1+PWbNm6fvUnngMDQ0RHh6OVatWITs7GxcvXkRwcDC++eYb+Pj44IUXXsBvv/2GysrKdomD6upqXL16FZ6enhqzXO4qtHe+oaEBgwYN0msRlYmJCdzc3BASEoL+/ftDKpXC2toa+fn5OHfuHHJyclBdXd0pIaYJaMjazMwMwcHBvBBzQEsOPy8vDwKBANbW1lo/npOTE06ePAmBQIA7d+5g7ty5OHfuHIKDgzF06FCtvT+diai6uLg8dH/6XxalfTzgxzeyC7z00kv46quv8MknnyAkJASpqan4+++/HwhhPYyVK1di0KBB6NmzJ5ycnBAfH/+AWm9qasJbb70Fe3t7WFlZYdKkSQ98CQoLCxETEwMLCws4OTlh8eLFkMvlGrnO7o6hoSGCg4Px3//+F+np6RAKhRg8eDA2bdqE3r17Iz4+Hr/++ivXi38/YrEYQqEQfn5+vJmiSIviZDJZl4fvaBJaWxAcHIyIiAiMGDEC/v7+XEX/mTNnuPSGUqnUyTlRMWBubt4uF0xdUVBQgNu3b+tMDFRVVXEDxv744w+4u7tjzpw5OHDgAMRiMdauXau1z3ZnIqpDhgxR2x9oGcNM9/fx8YGLi4vaPrW1tbh8+TKL0nZDunWXgaYYM2YMXn75ZQwaNAhyuRwffvghMjIykJmZydmUvvnmmzh06BA2b94MGxsbvP322zA0NMT58+cBtKwUQ0JC4OLigjVr1qCkpATTp0/Ha6+9hhUrVujz8ngN9YjfvXs39uzZg5SUFAwbNgxxcXGYMGECXFxc8OOPP+Lw4cP46aefOiT0tIlUKuXy4HwKfVPb5uDgYNjb2z/wOC12o3UHCoWC8+63t7fXynVQMWBpaYnAwEDeiIHCwkLcunVLY90gj6KmpgZxcXFwcHDAnj179NIiu3PnTsyYMQM//vgjIiIisG7dOvz555/Izs6Gs7Mzpk+fDnd3d6xcuRJAS3fRiBEjsGrVKsTExGDHjh1YsWLFA22Hq1atUms7TEtLY22H3RAmCFpBLBbDyckJp0+fxvDhw1FTUwNHR0ds27YNkydPBgBkZ2ejf//+uHjxIgYPHozDhw8jNjYWxcXF3E1r06ZN+OCDDyAWi3mzeuQzhBAUFBQgISEBiYmJuHz5MgYOHIjs7Gx8/fXXmDFjBi8iA83NzdwNji8DgYB7N7iQkBDY2to+cn/qdVBWVgaRSASpVKrmdaAJgyD6WllZWT3RYkAikWDixImwtLTE/v37Nepu2FF++OEHzpgoJCQE3333HSIjIwEAI0eOhLe3NzZv3sztv2vXLnz88cecMdGXX37ZqjHRTz/9hOrqajz99NPYsGED+vbtq+tLY3QRJgha4ebNm/Dz80N6ejoCAwNx8uRJREVFoaqqSs2Zz8vLCwsWLMC7776LTz75BPv37+f64oGWlpzevXtDKBQiNDRU9xfSjVEqlVx9SFhYGC5duoTQ0FDEx8cjLi4O3t7eehEHdAYAnzocAPWiuM7c4AghXCW8SCRCfX29mjjojKClYsDa2ppXr9WdO3dw8+ZNnYmB+vp6TJo0CYaGhjh06JBOhiMxGJ2hW7cdagOlUokFCxZg2LBhXEistLQUpqamD9j03t9+01rrDX2M0X4UCgXmz5+P/fv348qVK+jfvz/KysqwZ88eJCQk4LPPPkNAQAAnDvz8/HQiDvg4A4COn6YWu52tkKeV8LQavr6+nhvsk5WVxXn3Ozk5tSsMTCcp2tjYICAggBevFXBPDISGhupEDDQ2NuKll16CUqlkYoDBe5gguI+33noLGRkZOHfunL5P5YklIyMD58+fx/nz5+Hl5QWgpZr5zTffxBtvvIGKigrs27cPCQkJWLFiBfr27cuNbdbW5D5q+/vUU0/B19eXFzc4Wn9RXFz8SIvdjmJpaQlLS0t4e3tz3v0ikQg3btyAtbU1Jw5aa7FsamrC1atXYWtriwEDBvDitQJa6ityc3MRFhamkxkcTU1NeOWVV9DQ0IAjR47wZuAWg9EWTBCo8Pbbb+PgwYM4c+aMmomLi4sLpFIpqqur1X5I7m+/+eeff9Sej3YhsPabjhEcHAyhUNhqgZuBgQEcHBwwZ84czJ49G9XV1di/fz8SExPx9ddfw8vLixvbrKn8PnX645PtLyEEOTk5EIlECA8P1+rKs0ePHvD09ISnpyekUinEYjFEIhFu3rwJS0tLThxYWVlxkQE+jVUG7hVb6koMSKVSTJ8+HeXl5Th+/LhOohEMRldhNQRo+XGdP38+9uzZg1OnTj0wpYsWFW7fvh2TJk0CAOTk5MDf3/+BosKSkhJuSMhPP/2ExYsXQyQS8WbozuNMbW0tDh48iMTERK71lIqDsLCwTomD8vJypKWlwc/PDx4eHlo4645DXRErKyshEAj0VqAmk8lQXl4OkUiE8vJymJqaQiaTwc7OjlethUVFRcjJyUFoaGi7ii27ikwmw8yZM3H79m2cPHmy1W4PBoOPMEEAYN68edi2bRv27duHfv36cdttbGy4H9s333wTf/31FzZv3gxra2vMnz8fQEtbDnCv7dDNzQ1ffvklSktLMW3aNPz73/9mbYd6oL6+HocPH0ZCQgIOHToEW1tbTJgwAfHx8YiIiGhXe11ZWRkyMjIwYMAAuLq66uCsHw0d9VxTUwOBQMCbti6JRILk5GSYmJhAKpWq+fr36tVLb+JA12JALpfjtddeQ0ZGBpKSklqdIMhg8BV+SHg9s3HjRtTU1GDkyJFwdXXl/u3cuZPbZ+3atYiNjcWkSZMwfPhwuLi4IDExkXvcyMgIBw8ehJGREYYMGYJXX30V06dPxxdffNHmcVetWgUDAwMsWLCA28YMkDSDpaUlJk+ejO3bt6OsrAzfffcdampq8MILL8Df3x8LFy7EmTNn2nzdiouLcf36dQQFBfFKDKSnp0MikSA8PJw3YqC+vh4pKSlwdXXF0KFDMWLECAQEBIAQgvT0dJw5cwbXr1+HWCzWmRES0PIe5uTktLsNs6soFArMmzcPqampOHHiBBMDKmzduhX29vZobm5W2x4fH49p06bp6awY98MiBHriypUrePHFF2FtbY1nnnkG69atA8AMkLSNVCrF8ePHkZCQgP3798PAwADjx49HfHw8hg8fDhMTE6xcuRIVFRX48MMPYWdnp+9TBtDyvqelpaG5uRlhYWG88bWgnRcuLi6tdnsQQlBTU8N5HdCpf87OzrC3t9eI10FrFBcXIzs7GyEhITp5D5VKJebPn49z584hKSmJN4Ok+EJjYyNcXV3x888/44UXXgAAiEQiuLu74+jRo3jmmWf0fIYMgAkCvVBXV4ewsDBs2LAB//vf/xASEoJ169YxAyQdI5PJcPr0aezevRt79+6FVCpFUFAQkpOT8dtvv2H06NH6PkUALWIgNTUVCoUCoaGhMDEx0fcpAWj5HCcnJ8PNzQ19+vR5ZAEhIQQSiYTrWGhsbFTzOtDUdZWUlCArK0unYmDRokU4evQoTp06xXXGMNSZN28e8vPz8ddffwEAvvnmG6xfvx43b97kTfHpkw5LGeiBt956CzExMWozxAEgOTkZMplMbbu/vz88PT25eeUXL17EwIED1TwPoqOjUVtbi+vXr+vmAh4TTExMMGrUKGzatAl3797F6NGjceXKFXh4eGDmzJmcx3xjY6PezlEul0MoFIIQgrCwMN6JAXd393aJAaClQ8Ta2hp9+vTB0KFDERkZCRsbGxQWFuL06dNITk7GnTt3HggrdwQqBoKDg3UmBpYuXYrDhw/j+PHjTAw8hNdeew1Hjx5FUVERAGDz5s2YOXMmEwM8grUd6pgdO3ZAKBTiypUrDzzGDJD0g0KhwNtvv41Lly7h2rVr8PHxwaVLl5CQkIAlS5agvLwc0dHRiI+Px+jRozXa7/8wZDIZNy8hODiYN/MSaAGhh4cHfH19O/08VlZWsLKygo+PDxobGyESiVBaWoqcnBzY2NhwRYnt7aJQFQO6qOxXKpX49NNPkZiYiKSkpC69Fk8CoaGhCA4OxtatWzF69Ghcv34dhw4d0vdpMVRggkCH3LlzB//5z39w7Ngx3hSEMYADBw7g1KlTOHv2LNdaOGzYMAwbNgxfffUVkpOTsXv3bnzxxReYO3cunnvuOcTHx2Ps2LFam5AnlUohFArRo0cPXrXwUTHg6emJ3r17a+x5zc3N4eXlBS8vLzQ3N3NeB7m5ubCyslLzOmiN0tJSZGVlISgoSCdigBCCFStW4Pfff0dSUhLz7W8n//73v7Fu3ToUFRVh1KhRvGnlZbTAagh0yN69ezFx4kS1lZ5CoYCBgQEMDQ1x5MgRjBo1is1M0DGEENTX1z9y5a9UKpGWlsZNZrx16xaioqIQFxeHmJgY9OrVSyPhT74OBKJujV5eXvDx8dHJMe/3OjA3N+fEQc+ePWFgYIDS0lJkZmYiKCgIDg4OWj8nQgjWrFmD9evX4+TJkxg4cKDWj/m4UFNTAzc3N8jlcmzduhUvvfSSvk+JoQITBDpEIpGgoKBAbdusWbPg7++PDz74AB4eHswAqZtAzYF2796NxMREZGZmYuTIkYiLi0NsbCwcHBw6JQ5UZwDwaSBQTU0NhEKhXt0aFQqFmjgwNjaGlZUVKioqEBQUpJM2P0IIvvvuO6xZswbHjx9HWFiY1o/5uDF9+nQcOnQIxcXF7PeKZzBBoGdGjhzJdRkAzACpO0JnClBxkJqaiqeffhpxcXGYMGECnJ2d2yUOGhoakJycDHt7e17Z/lZXVyMlJQW+vr7w9PTU9+kAaInW3Lp1C/n5+TAyMoKRkREcHR3h5OQEOzs7rQgpQgg2btyI5cuX48iRI4iIiND4MZ4EoqKiEBAQgO+++07fp8K4D34sPxgcmjZAKioqwquvvgp7e3uYm5tj4MCBuHr1Kvc4IQSffPIJXF1dYW5ujlGjRiE3N1ftOSorKzF16lRYW1ujV69emDNnDurq6rTzAnRDDAwM4Ofnh6VLl+Kff/7BjRs3EBMTgz///BN9+/ZFdHQ01q9fj7t376It/V1fX4+rV6/CycmJl2KgT58+vBEDQIuldGFhIUJCQjBy5EhubkVmZiZOnz6NjIwMiEQiKBQKjRyPEIJffvkF//3vf3Ho0CGdioHOfP8eZXB27do1TJkyBR4eHjA3N0f//v3x7bffavU6qqqqOHv4t956S6vHYnQOFiF4jKmqqkJoaCieeeYZvPnmm3B0dERubi58fX25iujVq1dj5cqV2LJlC3x8fLBs2TKkp6cjMzOTK3wcO3YsSkpK8OOPP0Imk2HWrFkYNGgQtm3bps/L4z2EENy9exeJiYlITEzE+fPnIRAIuLHNXl5eMDAwwD///IODBw9i2rRp7W7h0wVVVVVISUnh1RwHoMXQJj09HQMHDnwgTUAIQW1tLed10NTUBAcHBzg5OcHBwaFTbZuEEGzduhUffPABDhw4gBEjRmjqUtpFZ75/jzI4+/XXX3Ht2jU8//zz8PDwwIULFzB37lx8+eWXePvtt7VyHd7e3qiqqsKyZcvw3nvvaeUYjK7BBMFjzJIlS3D+/HmcPXu21ccJIXBzc8OiRYu4L2hNTQ2cnZ2xefNmvPzyy8jKysKAAQNw5coVhIeHAwD+/vtvjBs3Dnfv3oWbm5vOrqc7QwhBaWkp9uzZg4SEBJw5cwYDBw7EsGHDsGXLFsyYMQOrV6/W92lyVFZWIjU1FX379uWV697DxMD90GJR6pJYX18POzs7riixPSZehBBs374d7777Lvbt24dnn31WU5fSLjrz/WuPwVlrvPXWW8jKysLJkye1d0EMXsNSBo8x+/fvR3h4OF544QU4OTkhNDQUP//8M/d4Xl4eSktL1YyQbGxsEBkZqWaE1KtXL+7HCABGjRoFQ0NDXL58WXcX080xMDCAq6sr5s2bh+PHj6O4uBjR0dHYtGkTXFxccPr0aaxYsQKZmZltphV0RUVFBVJTU9GvXz9eiQGxWNxuMQC0vOZWVlbw9fXFkCFDMHToUNjZ2aG4uBhnzpzB1atXUVhYiKampjafIyEhAQsWLMCuXbt0LgaAzn3/2mNw1ho1NTW8sepm6AcmCB5jbt++jY0bN8LPzw9HjhzBm2++iXfeeQdbtmwBcM/IqDWjI1UjpPt/fI2NjWFnZ8eMkDqJgYEBrl+/jvXr1+Pbb7/F5cuXsXDhQqSlpeHpp59GeHg4Pv/8c6Slpel0GBDQIgauXbsGf39/uLu76/TYD0MsFiMtLQ2BgYGd7iawsLCAt7c3IiIi8PTTT8PZ2RlisRjnzp3D5cuXkZeXhzt37nD779u3D/PmzcP27dsxZswYTV1Kh+jM9689Bmf3c+HCBezcuRNz587VyHkzuifMmOgxRqlUIjw8nOs+CA0NRUZGBjZt2oQZM2bo+eyeXHJzczF+/Hh8//33mDlzJgBg5syZmDlzJmpqanDw4EEkJiYiKioKrq6umDBhAiZOnIjQ0FCttiGWl5cjLS0N/fv3582ER+DeeQUGBj4gXjtLjx494OHhAQ8PD0ilUpSXl6O0tBSTJk2ChYUFwsPDcfDgQfz+++8YP368Ro6pypIlSx6ZIsrKytL4cVsjIyMDcXFx+PTTT3kzv4OhH5ggeIxxdXXFgAED1Lb1798fCQkJAAAXFxcAQFlZmdoNoKysDCEhIdw+IpFI7TnkcjkqKyu5v2d0jD59+uD06dOt9rDb2Nhg6tSpmDp1Kurq6nD48GEkJCQgJiYGdnZ23GTGiIgIjVoZ03D8gAEDePW+UjEQEBCgMTFwP6ampnBzc4ObmxuEQiHWrVuHP//8E4QQLF68GBcvXsTzzz+PwYMHa0yQLVq0iBODbdG7d+9Off9cXFwglUpRXV2tFiUoKyt74G8yMzMRFRWFuXPn4uOPP+7UtTAeH1jK4DFm2LBhyMnJUdt248YNbgCLj48PXFxccOLECe7x2tpaXL58GUOGDAEADBkyBNXV1UhOTub2OXnyJJRKJSIjI3VwFY8fBgYG7TK0sbKywgsvvIAdO3agtLQU69atQ3V1NSZPngx/f38sWrQIZ86cgVwu79L5iEQi7qbLJzFQUVGBtLQ0nYqU1NRUbNy4Ef/73/9QWVmJb7/9FhUVFYiNjdVopMDR0RH+/v4P/Wdqatqp759AIICJiYna9zonJweFhYXc9xoArl+/jmeeeQYzZszA8uXLNXZtjO4L6zJ4jLly5QqGDh2Kzz//HC+++CL++ecfvPbaa/jpp58wdepUAC1th6tWrVJrO0xLS3ug7bCsrAybNm3i2p7Cw8NZ26GeaGpqwokTJ5CYmIh9+/bByMgIsbGxmDhxIv71r391qLWuI1X7uoTWMugyfXH27FlMnjwZ69atw+zZs9XaP2UyGUpKSvTixfCo719RURGioqKwdetWzh/hUQZnGRkZePbZZxEdHY01a9Zwx6IGT4wnFMJ4rDlw4AAJDAwkZmZmxN/fn/z0009qjyuVSrJs2TLi7OxMzMzMSFRUFMnJyVHbp6KigkyZMoVYWVkRa2trMmvWLCKRSNT2kcvl5OOPPybe3t6kR48epHfv3uSLL74gSqXygWO5uLiQHj16kKioKHLjxo0HjvXKK6+Qnj17EhsbGzJ79uwHjsW4h1QqJUePHiWvv/46cXZ2JnZ2dmT69OkkMTGRVFZWkvr6+jb/3b59mxw4cIDk5+c/dD9d/yssLCQHDhwgN2/e1NkxT5w4QaytrcmGDRvUPrN84FHfv7y8PAKAJCUlcdsaGxvJvHnziK2tLbGwsCATJ04kJSUl3OOffvopAfDAPy8vLx1eGYNvsAgBQyOsWLEC33zzDbZs2YKAgABcvXoVs2bNwvLly/HOO+8AYCZI2kYul+PcuXPYvXs39u7di7q6OowbNw7x8fGIiopSGyN87NgxGBoaIigoiFcrQup/4O/vrzOPi6tXr2LChAn44osvMH/+fN4YQzEYuoYJAoZGiI2NhbOzM3755Rdu26RJk2Bubo7ff/+dmSDpGIVCgYsXLyIhIQF79uxBZWUloqOjER8fj6KiInz66ac4ePCgWk5Z3+hDDKSmpiImJgYfffQRFi1axMQA44mGFRUyNMLQoUNx4sQJ3LhxA0CLV/q5c+cwduxYAMwESdcYGRnh6aefxtq1a3H79m0cP34cPj4+WLhwIT7++GNERUWhsLAQtbW1+j5VAPoRAxkZGZgwYQIWL17MxACDAdZ2yNAQS5YsQW1tLfz9/WFkZASFQoHly5dzxYvMBEl/GBoaIiIiAhkZGWhoaMD333+PwsJCrFmzBm+++SZGjRqFCRMmICYmBr169dL5jbGqqopzRtSVGMjKykJsbCzeeustLF26lIkBBgMsQsDQEH/++Sf++OMPbNu2DUKhEFu2bMFXX33FuSIy9MvPP/+M//znPzh48CBef/11LF++HNevX0dycjIGDRqE9evXw8fHBxMnTsTmzZtRXl6uEwtlOkCpb9++OnNGvHHjBmJjYzFnzhx89tlnTAwwGP8fJggYGmHx4sVYsmQJXn75ZQwcOBDTpk3Du+++i5UrVwJQN0FSRdUshZkgaQ9zc3P89ddfapP6DAwMEBAQgE8//RSpqanIyMjAyJEj8euvv8LX1xexsbH4+eefUVpaqhVxoCoGdDUz4fbt24iNjcWUKVOwfPlyJgYYDBWYIGBohIaGhgdc3IyMjDgvfmaCpF9effVV/Otf/2rzcQMDA/Tt2xcffvghrly5gpycHIwbNw47duxA3759MWbMGGzYsAF3797ViDiorq7WuRgoKChATEwM4uPj8dVXX2nVBprB6I6wLgOGRpg5cyaOHz+OH3/8EQEBAUhJScHcuXMxe/ZszrOdmSB1PwghuHPnDhITE5GYmIgLFy4gPDwccXFxiIuLg5eXV4dX2VQM9OnTBx4eHlo6c3WKiooQHR2N5557Dhs3bmRigMFoDT35HzAeM2pra8l//vMf4unpyRkTffTRR6S5uZnbpysmSKdPnyaxsbHE1dWVACB79uxR+ztNmR5du3aNPP3008TMzIw89dRTZPXq1Zp9oboxSqWSFBUVkR9++IE8++yzxNjYmISFhZHPP/+cpKamkrq6ukcaABUVFZGDBw+S7OxsnZkO3bp1i/j5+ZGZM2cSuVyu75eRweAtLELA6BYcPnwY58+fh0AgwPPPP489e/YgPj6ee1wTpke1tbXo27cvRo0ahaVLlyI9PR2zZ8/GunXr2FjY+yCEoLy8HHv27EFiYiJOnjwJf39/xMXFIT4+Hv7+/g9EDmhkwNfXV2cWwCKRCOPGjUNoaCi2bNkCY2PWWMVgtImeBQmD0WFwX4RAqVQSFxcXsmbNGm5bdXU1MTMzI9u3byeEEJKZmUkAkCtXrnD7HD58mBgYGJCioiJCCCEbNmwgtra2alGNDz74gPTr10/LV9S9USqVpKKigvz6668kNjaWs8n+4IMPyKVLl4hEIiF//fUX8fPzI0KhUKcWyAMHDiSTJ08mUqlU3y8Tg8F7WCKN0e3RlOnRxYsXMXz4cJiamnL7REdHIycnB1VVVTq6mu6HgYEB7OzsMGvWLBw4cABlZWX46KOPcOPGDTz77LMYOHAgXnjhBURFRcHPz08n51RVVYW4uDj07t0bf/zxR4cGPjEYTypMEDC6PZoyPSotLW31OVSPwXg0NjY2ePXVV5GYmIgjR45ALBYjICAAv//+OwIDA7FkyRJcunQJCoVCK8evqalBfHw8XF1dsXPnTjWBx2Aw2oYJAgaDoRVSUlIwYcIEfP7557h8+TLKysqwdu1aVFZWYtKkSejfvz8WLVqEs2fPQi6Xa+SYEokEkyZNgq2tLRISEmBmZqaR52UwngSYIGB0ezRleuTi4tLqc6geg9E+CCGYN28eli5dikWLFgEALCwsMHHiRPz+++8oKSnBpk2b0NzcjFdeeQV9+/bFO++8g6SkJMhksk4ds76+Hi+88ALMzMywZ88erpiUwWC0DyYIGN0eTZkeDRkyBGfOnFG7IR07dgz9+vWDra2tjq7m8cDAwADHjx/H4sWLW328R48eiI2Nxa+//orS0lJs3boVRkZGmD17Nnx9fTFv3jwcPXoUUqm0XcdrbGzESy+9BEII9u/fD0tLS01eDoPxZKDvqkYGoz1IJBKSkpJCUlJSCADyzTffkJSUFFJQUEAIIWTVqlWkV69eZN++fSQtLY3ExcURHx8f0tjYyD3HmDFjSGhoKLl8+TI5d+4c8fPzI1OmTOEer66uJs7OzmTatGkkIyOD7Nixg1hYWJAff/xR59f7pCKTyUhSUhKZN28eECIeZwAACqpJREFUcXNzIzY2NuSVV14hO3fuJBUVFa12E1RUVJDRo0eTyMhIUl1drdPzbY+3xf00NjaSefPmETs7O2JpaUmef/55Ulpa2uq+5eXlxN3dnQAgVVVVWrgCBuMeTBAwugVJSUkEwAP/ZsyYQQjpmumRKqrGRO7u7mTVqlW6ukTGfcjlcnLmzBnO8Kpnz57khRdeIL///jsRiUSkvr6eVFVVkZiYGCIQCEhlZaXOz3HMmDEkODiYXLp0iZw9e5b06dNHTWS2xhtvvEE8PDzIiRMnyNWrV8ngwYPJ0KFDW903Li6OjB07lgkChk5ggoDBaIOHuSNKpVLy/vvvk8DAQGJhYUFcXV3JtGnTOE8DCnNH1AwKhYJcunSJvPfee8TX15dYWFiQ8ePHk/DwcBIUFETKy8t1fk7t8ba4n+rqamJiYkJ27drFbcvKyiIAyMWLF9X23bBhAxkxYgQ5ceIEEwQMncBqCBiMNqivr0dwcDDWr1//wGMNDQ0QCoVYtmwZhEIhEhMTkZOTgwkTJqjtN3XqVFy/fh3Hjh3DwYMHcebMGTXXw9raWowePRpeXl5ITk7GmjVr8Nlnn+Gnn37S+vV1JwwNDREZGYk1a9bgxo0bOHv2LNzd3XHz5k0cOXIE9vb2Oj+n9nhb3E9ycjJkMpmaZ4a/vz88PT05zwwAyMzMxBdffIGtW7eyuQsM3aFvRcJgdAfQyvyE+/nnn38IAK6ugbkjah+lUqm3Yy9fvpz07dv3ge2Ojo5kw4YNrf7NH3/8QUxNTR/YPmjQIPL+++8TQghpamoiQUFB5LfffiOE3EuXsQgBQ9sw6cnoMmKxGC4uLlixYgW37cKFCzA1NVWr/H/cqampgYGBAXr16gWAuSPqgo5OWmwPS5YsgYGBwUP/ZWdna/y4lKVLl6J///549dVXtXYMBqM12KQPRpdxdHTEr7/+ivj4eIwePRr9+vXDtGnT8PbbbyMqKkrfp6cTmpqa8MEHH2DKlCmwtrYG0H53RB8fH7V9VN0RWbuj7lm0aBFmzpz50H169+7dLm+L+3FxcYFUKkV1dTUnHAF1z4yTJ08iPT0du3fvBtDi6QAADg4O+Oijj/D555938soYjIfDBAFDI4wbNw6vvfYapk6divDwcFhaWmLlypX6Pi2dIJPJ8OKLL4IQgo0bN+r7dBhdxNHREY6Ojo/cT9XbQiAQAHjQ2+J+BAIBTExMcOLECUyaNAkAkJOTg8LCQs4zIyEhAY2NjdzfXLlyBbNnz8bZs2fh6+vb1ctjMNqECQKGxvjqq68QGBiIXbt2ITk5+YmwjaVioKCgACdPnuSiAwBzR3zc6d+/P8aMGYPXXnsNmzZtgkwmw9tvv42XX34Zbm5uAICioiJERUVh69atiIiIgI2NDebMmYOFCxfCzs4O1tbWmD9/PoYMGYLBgwcDwAM3/fLycu54qlEFBkPTsBoChsa4desWiouLoVQqkZ+fr+/T0TpUDOTm5uL48eMPVLozd8THnz/++AP+/v6IiorCuHHj8PTTT6t1iMhkMuTk5KChoYHbtnbtWsTGxmLSpEkYPnw4XFxckJiYqI/TZzDUMCA0QcVgdAGpVIqIiAiEhISgX79+WLduHdLT0x/IoXcn6urqcPPmTQBAaGgovvnmGzzzzDOws7ODq6srJk+eDKFQiIMHD6pNSbSzs+OKBMeOHYuysjJuBTlr1iyEh4dj27ZtAFoKEfv164fRo0fjgw8+QEZGBmbPno21a9eqtScyGAyG1tFvkwPjceG9994j3t7epKamhigUCvL000+TmJgYfZ9Wl3iYO2JeXl6rjwEgSUlJ3HN0xB3RxMSE9OjRg/Ts2fORbY6vv/46AUDWrl2rtp0ZITEYjM7CBAGjyyQlJRFjY2Ny9uxZblteXh6xtrZusx+b8SB//fUX+eijj0hiYuJDBUFiYiIJDg4mbm5uDwiCR1np1tTUEGdnZzJ16lSSkZFBtm/fTszNzdm8BgaDwQQBg8FH2hIEd+/eJe7u7iQjI4N4eXmpCQJmhMRgMLoCKypkMLoJSqUS06ZNw+LFixEQEPDA48wIicFgdAUmCBiMbsLq1athbGyMd955p9XH22uEpFoACagbITEYjCcX5kPAYHQDkpOT8e2330IoFGrFrpfBYDBYhIDB6AacPXsWIpEInp6eMDY2hrGxMQoKCrBo0SJ4e3sDYEZIDAajazBBwGB0A6ZNm4a0tDSkpqZy/9zc3LB48WIcOXIEADNCYjAYXYOlDBgMnqBqhAQAeXl5SE1NhZ2dHTw9PR9wQjQxMYGLiwv69esHoH1Wuq+88go+//xzzJkzhzNC+vbbb7F27VrdXSiDweAlTBAwGDzh6tWreOaZZ7j/X7hwIQBgxowZ2Lx5c7ue448//uCmTBoaGmLSpEn47rvvuMdtbGxw9OhRvPXWWxAIBHBwcMAnn3zCXBEZDAZzKmQwnmROnz5NYmNjiaura5veB5mZmWT8+PHE2tqaWFhYkPDwcFJQUMA93tjYSObNm0fs7OyIpaUlef7550lpaanacxQUFJBx48YRc3Nz4ujoSN577z0ik8m0fXkMBqMDsBoCBuMJpr6+HsHBwVi/fn2rj9+6dQtPP/00/P39cerUKaSlpWHZsmXo0aMHt8+7776LAwcOYNeuXTh9+jSKi4vx/PPPc48rFArExMRAKpXiwoUL2LJlCzZv3oxPPvlE69fHYDDaDxtuxGAwAAAGBgbYs2cP4uPjuW0vv/wyTExM8Ntvv7X6NzU1NXB0dMS2bdswefJkAEB2djb69++PixcvYvDgwTh8+DBiY2NRXFzMeR5s2rQJH3zwAcRisZpJEoPB0B8sQsBgMFpFqVTi0KFD6Nu3L6Kjo+Hk5ITIyEjs3buX2yc5ORkymQyjRo3itvn7+8PT0xMXL14E0OKOOHDgQDVDpOjoaNTW1uL69es6ux4Gg/FwmCBgMBitIhKJUFdXh1WrVmHMmDE4evQoJk6ciOeffx6nT58G0OJuaGpqil69eqn9rbOzM3NHZDC6GazLgMFgtIpSqQQAxMXF4d133wUAhISE4MKFC9i0aRNGjBihz9NjMBgahkUIGAxGqzg4OMDY2BgDBgxQ296/f38UFhYCaHE3lEqlqK6uVtunrKyMuSMyGN0MJggYDEarmJqaYtCgQcjJyVHbfuPGDXh5eQEABAIBTExMcOLECe7xnJwcFBYWYsiQIQBa3BHT09PVbJWPHTsGa2vrB8QGg8HQHyxlwGA8wTzKHXHx4sV46aWXMHz4cDzzzDP4+++/ceDAAZw6dQpAi9HRnDlzsHDhQtjZ2cHa2hrz58/HkCFDMHjwYADA6NGjMWDAAEybNg1ffvklSktL8fHHH+Ott96CmZmZPi6bwWC0hr6NEBgMhv5ISkoiAB74N2PGDG6fX375hfTp04f06NGDBAcHk71796o9BzUmsrW1JRYWFmTixImkpKREbZ/8/HwyduxYYm5uThwcHMiiRYuYMRGDwTOYDwGDwWAwGAxWQ8BgMBgMBoMJAgaDwWAwGGCCgMFgMBgMBpggYDAYDAaDASYIGAwGg8FggAkCBoPBYDAYYIKAwWAwGAwGmCBgMBgMBoMBJggYDAaDwWCACQIGg8FgMBhggoDBYDAYDAaA/wdbfNMwvtBYFwAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the initial configuration of the polymer\n", "x = poly.r[:, 0]\n", "y = poly.r[:, 1]\n", "z = poly.r[:, 2]\n", "\n", "fig = plt.figure(figsize=(8, 6))\n", "ax = fig.add_subplot(projection='3d')\n", "ax.plot3D(np.asarray(x), np.asarray(y), np.asarray(z))\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('y')\n", "ax.set_zlabel('z')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "eee1c795ac436df6", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "|\n", "\n", "#### Instantiate the Null Field" ] }, { "cell_type": "code", "execution_count": 6, "id": "5a351b4986112275", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T22:17:14.335466Z", "start_time": "2024-07-03T22:17:14.333360Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# The field contains the polymer\n", "field = NullField(polymers=[poly])" ] }, { "cell_type": "markdown", "id": "52c90db4cf60c773", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "|\n", "\n", "#### Specify the Simulation Parameters" ] }, { "cell_type": "code", "execution_count": 7, "id": "c80edc7821ffc684", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T22:17:15.265406Z", "start_time": "2024-07-03T22:17:15.263315Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "amp_bead_bounds, amp_move_bounds = mc.get_amplitude_bounds(\n", " polymers = [poly]\n", ")" ] }, { "cell_type": "code", "execution_count": 8, "id": "42151b7df87687d3", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T22:17:15.841188Z", "start_time": "2024-07-03T22:17:15.838489Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "out_dir = \"output_demo\"\n", "latest_sim = get_unique_subfolder_name(f\"{out_dir}/sim_\")\n", "moves_to_use = ctrl.all_moves_except_binding_state(\n", " log_dir=latest_sim,\n", " bead_amp_bounds=amp_bead_bounds.bounds,\n", " move_amp_bounds=amp_move_bounds.bounds,\n", " controller=ctrl.SimpleControl\n", ")" ] }, { "cell_type": "code", "execution_count": 9, "id": "a54b26664ae80d08", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T22:17:16.370108Z", "start_time": "2024-07-03T22:17:16.368345Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# Specify the number of snapshots and the number of MC steps to attempt per snapshot\n", "num_snapshots = 200\n", "mc_steps_per_snapshot = 200 # Reduce the number of MC steps per snapshot to speed up the simulation\n", "# TODO: If you want to run a more rigorous simulation, increase the number of MC steps per snapshot" ] }, { "cell_type": "markdown", "id": "db2522f93c0b7156", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "|\n", "\n", "#### Run the Simulation" ] }, { "cell_type": "code", "execution_count": null, "id": "36a7928aa27b99cd", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T23:33:26.227715Z", "start_time": "2024-07-03T22:17:18.039177Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "polymers = mc.polymer_in_field(\n", " polymers = [poly],\n", " binders = binder_collection,\n", " field = field,\n", " num_save_mc = mc_steps_per_snapshot,\n", " num_saves = num_snapshots,\n", " bead_amp_bounds = amp_bead_bounds,\n", " move_amp_bounds = amp_move_bounds,\n", " output_dir = out_dir,\n", " mc_move_controllers = moves_to_use\n", ")" ] }, { "cell_type": "markdown", "id": "adb8309ae77be7da", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "|\n", "\n", "#### Plot the Resulting Configuration" ] }, { "cell_type": "code", "execution_count": 11, "id": "bcc2a426513d6f4b", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T23:33:26.293462Z", "start_time": "2024-07-03T23:33:26.229026Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the final configuration of the polymer\n", "x = polymers[0].r[:, 0]\n", "y = polymers[0].r[:, 1]\n", "z = polymers[0].r[:, 2]\n", "\n", "fig = plt.figure(figsize=(8, 6))\n", "ax = fig.add_subplot(projection='3d')\n", "ax.plot3D(np.asarray(x), np.asarray(y), np.asarray(z))\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('y')\n", "ax.set_zlabel('z')\n", "plt.show()" ] } ], "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": "3.11.7" } }, "nbformat": 4, "nbformat_minor": 5 }