{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Experimental Nuclear Reaction Data (EXFOR)\n", "\n", "In this notebook we explore the EXFOR dataset and showcase some of the plotting and data manipulation capabalities of NucML. Let us start by importing some of the needed modules." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2021-05-06T20:44:40.809503Z", "start_time": "2021-05-06T20:44:40.806007Z" } }, "outputs": [], "source": [ "# # Prototype\n", "# import sys\n", "# sys.path.append(\"../../\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2021-05-06T20:44:45.708822Z", "start_time": "2021-05-06T20:44:44.164316Z" } }, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "import os\n", "\n", "pd.set_option('display.max_columns', 500)\n", "pd.set_option('display.max_rows', 50)\n", "pd.options.mode.chained_assignment = None # default='warn'\n", "\n", "import nucml.datasets as nuc_data" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2021-05-06T20:44:46.224181Z", "start_time": "2021-05-06T20:44:46.219682Z" } }, "outputs": [], "source": [ "sns.set(font_scale=2)\n", "sns.set_style(\"white\")\n", "\n", "# Setting up the path where our figures will be stored\n", "figure_dir = \"./Figures/\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**NOTE: WHEN WE TALK ABOUT CROSS SECTIONS WE ARE REFERING TO THE FEATURE NAMED \"DATA\", WHICH IS OUR LABEL**\n", "\n", "## Loading the EXFOR Database\n", "\n", "Let us study the dataset feature by feature. First we load our dataset. **Our focus is on low energy physics so we shall limit our dataset to these energies first (< 20 MeV)**." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2021-02-23T22:55:21.256680Z", "start_time": "2021-02-23T22:53:56.632208Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:root: MODE: neutrons\n", "INFO:root: LOW ENERGY: False\n", "INFO:root: LOG: False\n", "INFO:root: BASIC: -1\n", "INFO:root:Reading data from C:/Users/Pedro/Desktop/ML_Nuclear_Data/EXFOR/CSV_Files\\EXFOR_neutrons\\EXFOR_neutrons_MF3_AME_no_RawNaN.csv\n", "INFO:root:Data read into dataframe with shape: (4255409, 104)\n", "INFO:root:Finished. Resulting dataset has shape (4255409, 104)\n" ] } ], "source": [ "df = nuc_data.load_exfor()\n", "df.MT = df.MT.astype(int)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2021-02-23T22:55:21.261668Z", "start_time": "2021-02-23T22:55:21.257680Z" } }, "outputs": [], "source": [ "# df_original[df_original.Data == 0].shape" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2021-02-23T22:55:29.283466Z", "start_time": "2021-02-23T22:55:21.263668Z" } }, "outputs": [], "source": [ "df = df[df.Energy <= 2E7]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Understanding the Challenge\n", "\n", "Before we start analyzing the features of the EXFOR database, we must understand the challenge and the complexity of it. \n", "\n", "The goal here is to be able to predict cross-section values for a variety of reaction channels and isotopes. These cross-section values are probabilities although not in the usual 0-1 scale. Throughout the world, experimental measurements are performed to gather data that can then be used in traditional physics-based modeling to create a set of recommended values. Let us look at the Uranium-235(n,gamma) reaction.\n", "\n", "The `nucml.exfor.data_utilities` module contains the main functions to deal with EXFOR. Let us start by plotting the fission reaction for Uranium 235." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2021-02-23T22:56:12.125247Z", "start_time": "2021-02-23T22:56:09.029827Z" } }, "outputs": [], "source": [ "import nucml.exfor.data_utilities as exfor_utils" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2021-02-23T22:56:19.584157Z", "start_time": "2021-02-23T22:56:13.598512Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:root:Extracting samples from dataframe.\n", "INFO:root:EXFOR extracted DataFrame has shape: (133028, 104)\n" ] }, { "data": { "image/png": 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nL2HZGecNvqM70ebRGBAcZr0cd756/1F2JoQQQgghxIn3jpjB+8IXvsCqVau4//77WbZs2ZDHbt68mbvuuot169bR3t5OZWUlS5cu5bbbbmPp0qVFz7vgggu46667xnrooo+/ufTz/HLjIzy+fRU+fv87u4O80c7o9T1eQZed4s8f+1tuXXKTzOQJIYQQQohTzmk/g3f//fezatWqER375JNP8tGPfpTf//73NDU14TgOjY2NPPXUU9xyyy387Gc/G+fRiuF8cvGN/NUlf9qbeGUs5YO9pnSrZNYUQgghhBCnpNM6wHvwwQf51re+NaJj33zzTf7mb/4G13VZtmwZDzzwAGvWrOFXv/oVy5cvx/d9/v3f/53nn39+fActhrS2YQN3vvoAOTdH3IoOPuBYlmxCT5CXctJSDF0IIYQQQpxyTssAz7Zt/umf/om/+7u/Q+uRrdn74Q9/iG3b1NTUcPfdd3PBBRcwYcIEli5dyl133cWyZcvQWvPd734X3/eH71CMi6CcgcbzfXKeXfzAY9z26Guf5nQrn3jw//DVP3xbZvOEEEIIIcQp4bQL8FauXMl1113H/fcHyTIWLFgw7Dk7d+7kpZdeAuDzn//8oLp1oVCIr371qz3Hrl+/foxHLUaqKdWC53tk3CyeHibQPtrZvD6fCbi+y972Br7/8k/55EN/KcGeEEIIIYQ4qZ1WAV5nZydf/OIX2bt3L/F4nH/4h3/ga1/72rDnrV69GghKHlx22WUFjzn//POZOHEiwIj39ImxV10ykaxno9GoPv8N6RiDvOCmxvZsGpMtsj9PCCGEEEKctE6rAA+CIO2GG27g97//PbfccsuIztm6dSsAM2bMoLS0tOAxSinmz58PBJk2xYlx04Jr8QvM3MWt2NhfTA/4AjJuhqSdkv15QgghhBDipHRalUmIxWI8/fTTTJ8+fVTnHThwAGDY86ZOnQpAQ0PD0Q1QHLPl05dQHZ9AS7oNjcZQBlEriqEUVfEJ5Fwbx7PJDtyfpzj6oujd8sXRNZrmdCtrGzZIKQUhhBBCCHFSOa1m8EKh0KiDO4C2tjaAorN33brv7+zsHP3gxJi5dclNlIRLSIRLKA0nMFSw2e62JTfx2Qs/weTSSYVPHON68//xygN8c/VW1h9uG9uOhRBCCCGEOEqn1Qze0crlcgBEowXS7vfRnXyl+3hxYnTPmj20+QmaUi1Ul0zkpgXX9rQvn76EtQ0b+Mnae8m42f4n9w3yjmZGT/f24eskmw/+mO1HKrn+7Pfx8UWXHkWHQgghhBBCjB0J8Aj27UGwz06cGpZPXzLk8shCQeD5k8/hlf2v05xuDQ462mWbfYI88HG9dv536yPMqUzIkk0hhBBCCHFCSYBHsHcPIJvNDnncSGf6xMmhUBD4ycU38vHffhFPe0FDd6A22kCv7/HKw9MGD21+QgI8IcZIclsd7asfxO1oxCqfRMWlHyExv/ZED0sIIYQ46Z1We/COVvfeuq6uriGP6957V1lZOe5jEuPnA/OuGNw42slbxYA6ew572xukTp4QYyC5rY7Gx/4Tu2kffi6N3bSPxsf+k+S2uhM9NCGEEOKkJwEeMHv2bAAOHTo05HGHDx8GerNpilPTJxffyAfPvhpj4Mu/J2AbZjpviGDwcNcRqZMnxDFqWXkPb4V8fji9nH+cXcUPp5fzVsinZeU9J3poQgghxElPlmgCNTU1AOzdu5d0Ok08Hh90jNa6p17eueeee1zHJ8beJxffyCcX3xj8/cG/wPadAUf022jXa5iZvpznoJDlmuL0t7ZhQ9FER8fqDa+TR6rL0GgsrWk3DR6pLoOmTs4ckysIIYQQpy+ZwQMuv/xyABzHYfXq1QWP2bhxI62tQXKOSy+VbImnk+75OhUUuRtwz4BK5yOQ9XIcaG/gjuee5C+efkNKKYjTztqGDdz56gO0ptsIGyFa021jOnO9akI8CO4IPlOxCOpPrpow+MM3IYQQQvQnAR4wc+ZMliwJPnn+0Y9+RCqV6ne/4zh873vfA2DevHmsWLHiuI9RjJ++2VPVMVdDD7jAc43/S2fn/Rzs2MZ9m/ZJkCdOGw9tfgLPTkO6Ey/VFvxpp3lo8xNj0n+bZWIOaDPz7UIIIYQYmgR4ed/4xjdQSrFjxw4+9alPUVdXR1tbGxs3buRP//RPefXVV1FK8Vd/9VdSTuE0M7V0ElEzgqEUesg1mHpU2TY1kPW66Eo/Tzq3i8fqDx/rUIU4KRxpP4DnOaRMgy7TIGUaeJ7DkfYDY9J/pevhYpAjRFaFyRHCxaDS9cakfyGEEOJ0JgFe3vnnn883v/lNDMNg8+bN3HbbbdTW1nLzzTdTVxdkbvv617/OFVcUyMAoTmk3LbiWkBkiHopRZkWJeZqwr6lwPaL5P5Xv548e3QyfD1jaxsuupiVjj/nYhTgRoo5DzjDo/lfhAznDIOoM3Mt6dJa0GbjKxM8nPfIVuMpkSZu8ZQkhhBDDkSQrfdx8880sXLiQu+++m3Xr1tHW1kZJSQlLlizhtttuk6WZp6mBRdGrEhO5vOEwC9s7+h339bOqj6r/LJD1MiTb7uSrfzhjTJNRCHGiWEoR6bOaIafHZnkzgGNPZ3IqyaFEF74CQ8PUZCmOnRizawghhBCnq9M+wFu+fDnbt28f8fELFizo2W8n3jkKFUVvXnUvnWsfAx3MU1S4Hu3HsAfIx2d/awM/eOVeErE9TK+Yz/U1U1g6ReoqilNL2rIID2gL59vHwr64y5GSFEobWPmV0UdKUiTs6Jj0L4QQQpzOZL2LEEVUXXkrk278MsoKAXBdcxLT13AMMxW+AZ7Okcq8SlvWluQr4pRUbho4QEZrUlqT0Ron3z4WGsraUWY12irFNU20VYoyq2koax+T/oUQQojTmQR4QgwhMb+W6hu+hBEvZaFt8PHGTsp79uMdLY2r21DZLBok+Yo45cy2ggCv7x48J98+FnLhSlza8XUGMPF1Bpd2cmGZ7RZCCCGGIwGeEMNIzK+l6v2fI1w5hZpQiM+XJ/hQxDrmfzwH0r8kZ++W5CvilJLcVsd212Tw24eRbz92vsqh0ShlopSBUiYaja9yY9K/EEIIcTqTAE+IEUjMr2X6Z75HbvoEtFKcbVncELY4th1BLi3JP5Bpe26MRinE+Gtf/SAdft/5u25+vv3YdL3djK/TBJXvupO4KIKZvPQx9y+EEEKc7k77JCtCjCU/YoEX/GJ7dsji7JDFdsflf20XT2s4ihqJHWznO7/9C8qr388W5wwmxsKSfEWctHJtR6Csgjn7s9RuSlOW8ugsMalbFGfXjJJj7r91zX7MeALP7w7yuvmYhmTRFEIIIYYjAZ4QoxCOVJDLtAKqJ9nKvLDFH3k+T+Yc0qYxbJD3iSNzOTdbg1IlaJ1iS7SeBybv4IL2J5ld8l72Zmdw36Z9ABLkiZNO0ogwZ3+Wa1d39iwBqWp3uXZ1J09ceuxLNN3OLLGKxaSya9DaI1ho4qNQxMKLj7l/IYQQ4nQnSzSFGIVp596AGY6BMtBKoQ2FQnHekU7+YU8Ll7Wlh8yy+Ykjc1mQOw+lYoCLUjEW5M7jE0fm8rrtcKjjD1iGIclXxElre6Saa15uK7ADD655+dgzwhrWHiaFJhKPrsAwSgAPwyghHl3BpNDEY+5fCCGEON3JDJ4Qo1A5eREA+7f9L04uKIQeilYw5aY/JtSW4gOP/oBrW1OkplXy3VhQXqFvWohzszV4gIePBhQ+JgbnZmuAHezxXWj+CYnIYnxde1wfmxAj8VKFz0eLJJK1jjXBLGB4dUx2LqYlNJfS0FmQ/5cCMCO399gvIIQQQpzmJMAT4iho38EMxVDKxPNy7NvyMDPP/TDVN3yJxke+R8mBNipnTaRjQGF0rUpwtdt7G3DxCan+e5eSuY0oBd9cHaYlY8u+PHHSaLey49r/yoxNvTERCwcPE42R/yDEo0FNGXV/yW11tK9+ELejEat8EhWXfoTEfPnwRAghxOlLlmgKMUqHdq5EozEMC6UUhmGh0RzauZLE/FrKll8PwFVNXSjX7/ePLO0lUQP+2SkM0l5y0HW6shs52LGNkKGkKLo4aZS6x5Y7djivTLLASGDhEiVHjAxRcli4dIZGt8cvua2Oxv/5AXbjHvxcGrtxD43/8wOS2+rGafRCCCHEiScBnhCjZGfbUKr/L5pKmdjZIPiquvJWJn34qyzyItzY1MnkXG/q+PrMhuD4/D+97j+72wdqSz2N2/WU7MsTJ42p2fGdRc6EPRIqhYNFlggZYmSJ4GBRqlKj6qv5iTvAG1C6wXOCdiGEEOI0JUs0hRilcLQSO9eBUr3/fLT2CEd7f/FNzK8lMb+W6m11nL/yHrzORjZMKqXe2AcpmBtbQtRIkPWT7MhsYJexD4gUvN4hezc0/zeWUUl7eCl/8bQs2RQnzq5oI+8ex/6jtkmVPkDpHovFr60mkewgmShn47JLmTBzdG9ZfqZrVO1CCCHE6UACPCFGaepZV7Nvy8P4votSJlp7KBRTz7p60LHdgd6+H3+OxY1N2JEoDcm9NCT39kkdAXvPGO6fosb1W3GzLxCzTNrUbCmlIE6IjGWPa/9Lt9nkpmV51/PPYTkOCk1FaxPveu4x3rj8ynG9thBCCHE6kCWaQoxS5eRFzDz3w4Qj5WjfIRwpZ+a5H+7JsFnIhKtuR1thLvKyHJxqYIcUpgY7pKifYdFSMdLPWhza06/Ikk1xwsTc8Lj2f972dhatWUPIsVEEJUcUmpBjc07dy6PsrVhNyqFrVQohhBCnMpnBE+IoVE5eNGRAN1Bifi1TgINP3smlTprfzS0jq8A3R/8Zi+d10ZHegWGdSaorwzdXb5XlmuK4ucyZBuwb8fErn/kNj+57gfawT4VtcMPMy7n6qpuLn6AhnuwseFdJkfZiVDiKtjMF24UQQojTlczgCXGcJObXMu+v7ubKa/6SG5uSTHY9LM8Hv3hh9IIUJFPPkLV3o0AybIrj6vyJgwOmYlY+8xt+efA5Oi0Py9V0Wh6/PPgcK5/5TdFzds8uHbP5Ne0ULulQrF0IIYQ4HUiAJ8Rxlphfy8WL3sdfNnTwz7ub+dddTZydG90/RU/52NlnwN8ryzXFceWH0yM+9tE9L6DRmJ5G6eBPjebRPS8UPWfd2cXDu1EHfrrIhyfF2oUQQojTgCzRFOIEqLryVqLT5tGy8h68ziZu33+Yx844g1fi7vAn53lAMvU0pmEQD8+mJTO+yS+EAFB2fMTHtkeCmbu+DE/THvGKntMZN8hEFLFcgSAsOvrPJN8qCbNqQgltlkml63Fla4qFKfm3IoQQ4vQlM3hCnCCJ+bWc+X/uwCqvRimD6w8e5F92NBIbRR8ukOp6igXt9WRdj2+u3ipLNcW4Ch2uGfGxZSkPf8C7jG8E7UOd45pF5uqs0c3hvVUS5sFJZRwOW2QNxeGwxYOTynirZHwTxQghhBAnkgR4QpxgE666HSNWgiJYgnbjwfZRnZ8FWtTzXJLcIfvxxAk1cM5t+aYUcyIhbp5UwmemlnHzpBLmREIs31S8YPnSI9VEHI0z4N3JMwB7dEsrH6tMoKK1lJZ+mrLSz1Ba+mlUtJbHKhOj6kcIIYQ4lcgSTSFOsMT8WgCaHv0B2nVYlLapcFw6LBOtRjZj8arrYvAcqvV5lDmBX765nKVTrh/PYYt3qHRuTb8ajn3lBkyMzQtZzC+J4CiFozUJZfD+kgh+qPhbz9LYZbSFdxFOuf0CRtMHJzy6t6xc6cWEI+flb2nAJBw5j9yoehFCCCFOLTKDJ8RJIDG/luobvoQRL4VQlOuak8TyiSlGygc8NK7XQkPbU6xt2DB+AxbvWNm1TUWTnVhhs//tCytRKEzfJORbmL6JQmFdWLykh1XejqeChcqqzxeATWRUYw1HFmA7u0mmH6EzeS/J9CPYzm7CkQWj6kcIIYQ4lcgMnhAnie6ZvPbVD7KweT80dfJ4VYJ2ywTUKFMI+vzHK/cyqcJgYiwsdfLEmDGTxee/QgOXUJaHMVUYq/uzRAVa+fjlxfu3J79NJFu4FEO4SHvRvpx95HIvo9GAhe+nyOW6i6VfNKq+hBBCiFOFBHhCnEQS82t7Ar1J2+o4f+U9bPQ6+F11KWnTHFWQ5+ssIUP17MsDJMgT4yvc/wVquKXUhytZzwKSlJAgxVI2U+MMsUc0lES5hbPJGkXai7Gd9Wg0SnXPLJpo7WE764GbRtWXEEIIcaqQAE+Ik1R3sDdxWx2LHv43NpWEuX9qxaj68A7+mt2bV2DFTO5tzbH0Zpm1EOOp/6r/jekaXgvPwcNCo2innBe4iFR6FxcU6yJZfO/AaPcUaL+Lc9MzuaLzHCrcOO1WmmfLtrI1vm+UPQkhhBCnDtmDJ8RJLjG/lrLaG1iUspmac1CjSCR4MNLGuec9j5v12L3hCK+8eXD8BireEdxI8c8F/QGrN+tKZ+DqUD5ZSrBQ0tUh6kpnFO0jcmTeWAwTgHPTZ/Hh1mVMcsqI6hCTnDI+3LqMc9Nnjdk1hBBCiJONBHhCnAKqrryVstobuLItQ8zzYRTJV3ZaaS6+8GnmT2zi1yu3j+MoxTtBzij82vOBrtIBm+uMGCjdP1mK0kF7EeH0HHyj8FtTsfZi3t+xmLC2UKh85k9FWFu8v2PxqPoRQgghTiUS4Alxiqi68lY++Jf388dnXUGF640qyHvdddk981Vykx7nL55+Qwqii6MWcn0K7YQzgIYZs/s3BhEdus/XcAmDvFwnuxaeX/C+XQvPK9heTLlbeLaxWLsQQghxOpB3OSFOMZfX3syMVb9lU0mY33dn2Rxhvby2cBra7qC5cyIHOy7gz5a9WxKviFFJx0OUd9gF75u1c1u/2xYOnZkNOO4WwANMQta5lMWWFO2/89BGJi7ycd8ysHy/p901DCZOKXzd4rrn7fq3DC7JLoQQQpw+JMAT4hQUrbmQRfWvsjDVCsC/zJ1CJ/4wZ/XyvRba0y/yyzctKYguRiVccSaqo77gffFkV7/bXZn1OO5bfVo8HHcTXRkNrCjYx4G5Waa+vg83ZJAzo/goDDQhz2bia7tGNVbPcLH8UL82BbjG8Nk4k9vqaF/9IG5HI1b5JCou/UhPhlshhBDiZCZLNIU4BZ3x0a9jTTmrZ2biA4fDozrfB9A2hzvXjvXQxGku3tw8xL39Z5Jtd2uf9t6S5b3tg02sMdBdLqbhEyVHnCxRcpiGj+70RjVWw7QJZuu6Z+yCvwftxSW31dH85B24XS1ghXG7Wmh+8g6S2+pGdX0hhBDiRJAZPCFOUTP/5Lskt9XRsvIezu/cxxPeZDrMkS890/i4bgufevjviYaXMr1ivhREF8Py0x1FPxlMxQcmT/GYsz9L7aY0ZSmPzhKTukVxds2IFu2/JOLhlFropAtmnzt8IJIY1VgNL4w2HJTf/Van0YaL4Q39gUj76gfRroN2HfB9MAyUFaJ99YMyiyeEEOKkJzN4QpzCEvNrOfP/3MGkD3+V6xvbCY8i8QoACnJOMx3pZzjYsY37Nu2T5CtiaENs96w/0+x3e87+LO9d08WEdpewo5nQ7vLeNV3M2Z8t3r1WqBlRsH1Ie8GX44OC3dMmjGqoXjiNrxRpS5Gygj99pfDC6SHPc9oOoe1sENwpwPfRdhan7dCori+EEEKcCBLgCXEaSMyv5eJF1/DRwx2Uu6Nbxhb8wu7TlnqaIx0P8ss3XxqPIYrTxRAJfaYfyvS7ffn6JCFX97zRGEDI1Vy+Plm0D29XEn9bMpi9676UqzHOLqW5auKohrq/qgmbEEor0EHwaBNif1XT0Cfq/H7W7uurAe1CCCHESUwCPCFOE1VX3srFi97PN/a28i87Grm5MzP8SQO4XhsH2p9lbcOGcRihOB1koyUF2zVQnur/4UIi5Q+a8FP59mK8V9tBgxs2SUcNUjGDbEiR3ZdlulM6qrE+WTaHI+kGorZDiauJ2g5H0g08WTaHhp9+ueieup5yDlr3fvWUeRBCCCFObhLgCXEaqbryVibd+BWssmrOb+ziI7nhswX256N1lh+vfUSWaoqCDKdwghIF5MKRQW3Fji3G63JwFbiORyTrE8/4hByN6sihE6PbNn7Ja29zppqA9hx8O4X2HM5UE7jktbeHTJwSnnAGhCJg5JecGiaEIkG7EEIIcZKTAE+I00z3vryK2htYsr+VytHGeEDObZb9eKKgiJMrep91FK+1gXKhEL7jE3HAyG8pNTSYPuzMrad51b0j7uscPTHIn9m9tFL76Hy7Mi3QQUKVgSou/QhGKIQRiWOUVAR/hkJUXPqRY358QgghxHiTAE+I01TVlbcy5cNf5at7Gok7oz8/1/4Qj9UfHvuBiVOaGiKRT8TuH/wVO3KoVECHqi2sAttIFXD+Gy101j064iDPipQN3jenfaxIGV66E+17uB2Ng85LzK8lPG0+fqYLP9WOn+kiPG2+ZNAUQghxSpAAT4jTWGJ+Lal4CV/b28gZzuimV5r9ZrYd/h/+4uk3+ObqrTKbJwBQQ7xrqAGh29Es0TwwxSx6f/feva7Xnhiih15etmPwgJURtPseOpfGKLCnsHnVvWTrX+3Xlq1/dVSzh0IIIcSJIgGeEKe5s97/BZQV4v/sbcUaZRUFz9tHR/MjtGVtWbIpANCqeIDmRI59D9559cWnm3uSWbojm5JOHVyLMkyMUAwjXIIRiqEMk9TBtT3HeLnBJRs61z1esL9i7UIIIcTJRAI8IU5zifm1TL/hSxhWiI8eiQ69Pm4gBRmjkbamR9AgSzYF2fKgSLga8AXgGJFBxw88brg8lLFU8ZlmH3irJIyyQkP20bzqXnZ/52Pg68Gvd03Q3n0zV6Bkg++xvXwed539J3x/0Ze56+w/YXv5PPBHWYJECCGEOAEkwBPiHSAxv5bqG77EeXYjFa5CHUWQd7D1DrYcupu/fvoxmcl7BwtPTxS+Q0HM7j8bposkvSzWDpBKlBe9zzcUj1SXsWPR8qLHNK+6l866R9GuQ8mMWrT28J0Mvp3CdzJo7VEyo3bIen7by+fx5Mzr6QxXYeowneEqnpx5fRDkCSGEECc5CfCEeIdIzK9l0vX/hw902sQ8f8hkGYPkfxfWOklD2xP8aM1vJMh7hzJ3dRZsVxqsWKxfm28Ufosp1g5Qv/QCdIHgyzVMOismoIGnnOKFyjvXPdY71kh5wSQrQXtw0yqrGtTHS1OvRhPG1AYKMLWBJsxLU68uel0hhBDiZDG6okJCiFNaYn4tN8yvxV/3BE+8/T90WPk6X6Os35yx3+DhNR6lC99LTU3N2A9UnLxSbsFVvgowL6zs12bafsFjTbt4ofOJ2UbeWrSchZvWorRGo3BDIXzTZOPSd2HyMk2ZIT5c8Hv7du1O3M5GMg2v4dtJjHCC2PRlWGWTCJkazBATrrq95/jktjraVz9I+5SP4+GQNnqXi4a0RXu4rPh1hRBCiJOEzOAJ8Q70oYuu5T+WfZoK9+gKl2lgh/0W33ntx/xu3cgyGorTgy6wrQ2CNnNeeFBbwT6G6H/e2ynql13K81d9iLYJk3DDYZKl5bxy6dXsmTUVW0GlPbLXbduu50ntfhHPTqGViWenSO1+kbZdz4Myglp4ecltdTQ/eQduVwuGl8ZR/YNQR/kYXnpE1xVCCCFOJJnBE+IdKjG/lg++eA/3lWm0Zsg9SYVowDZsHt71JGecMZXl05eMyzjFySUVMynJFE42cvjFI/D+Y+u/ZGYtl7Yd5tnZc/jDnDkoPHyCpZKVuZfYbyhqUsWLrfel2w+gUSgzglIKjYH2cuj2A/nyCZr21Q+SmF9L++oH8XMZ8FzanTrC1iUEn4H6dH8W2u7UAZcd2wMUQgghxpnM4AnxDvbuy27n0k47WKE5mj15eVnAweWhzTKL907x9szBmTK7JbZ1HHP/4XgFsyre4DL1KiWk8bFIkOFi1nJl5DCGr9hSEi96vllW3fN3BWjt47sZPCeN72bQ2g9e776HtrM4bYcAsJsbwAtmBnPebmxnG0qFUCqOUiFsZxs5b/cxPz4hhBBivEmAJ8Q7WGJ+Lbdf9lk+2Woz1XaDyYpR0gr2tjewtmHD2A9QnHRmHy5eKsAc8PoplkzFGyLJSrSqFPtAI9MeWsMHf/7f3PTQT5iyexcvs4IX+ACh0GzaQ8XPn3j17RCOAuCGCy9SccIWP5xRyVslYXQ+qMPvXfYZMWcTDs1Hawet02jtEA7NJ2LOLnpdIYQQ4mQhSzSFeIdLzK/l+vm1vGdbHY2/+z7rq87gf8tyDC7/PLTvvXwnBiZVJdV8avEHj2rJ5vrDbTxWf5iWjM3EWJjra6awdErl8CeK46Y8VfxTgIFzwLmKBKH2JFbfxCeGgVNRpNQC4Nlv4r7YCBo800InPc578QVsLPbPPptw7BL8ZPEALzG/luyBt+msexRPmVg4/XIIacBTIZIVH+V30dfh4JvMGdhH+CJsoPcTj2CZZiJ8UdHrCiGEECcLmcETQgD5Mgof+msuaG/mG80Fij+PgI9HS6qF/6y7b9QzeusPt3Hfpn20ZW1ChqIta3Pfpn1SjuEk48cqit83YBtnx6IYvqH7hUm+oelYFBt4ao+m1U/mM7YoHBUiMmEOU869iRuSZ/KJnT7zOjWR6NKi5ye31dH5arBkOJLNDkoQq4BoNo0yJ2DG38MfpiwM2vsUT3fNKDWdPn+8G770Nvzxbqjp9HHNaNHrCiGEECcLCfCEED0S82upvv6LhDtyHG1C+KhysT2f+zb+74jPWX+4jZ9t3EPS8ci4Hq7WWIaBBh6rP3yUIxHjYcOy5egC+Xg8BW3lYba+eainbavrArq3DEew2TPfXpibdnvemaLls5g4692EYhMwjBATcvCBQ3BWuniA2PzEHdw/5Rz+edGfofpduPuLfLsCFSJbcgkApcuu7eljTkeK9x9RlLoKVwV/vv+IYk5HaqinRgghhDgpyBJNIUQ/ifm1cONfc/1TP+LXU8rxRlkjz9aaGDat6eZ+Sy5jloFSirTjMTEWZkFVgs3NSY6ksnh+7yyP1jDZ3cPyPauJvnoQ3eXyzD3llH34Zi669qoxf7xidOprzqFqx+vM2t8byGnAM2H/knkcWVnPOedNBWDR5g48Q+GEel9EhqdZtLl4MhZVGkKnXDChcsYKDDOcv4JGoQhreM+R4vsA75swmz1VVwUhXDiBtrsYuHhUhRP5NoUyguWi0Wnz2L8P0kfgPflPN7pnJH3A0PCe1hE9RUIIIcQJJQGeEGKQxPxaLjnwNmx6ikeqy8mM4ieFAzhoDO3y8KsPkYpehNaa1qwDQMwyaExlaejKEDENPN0b3J1T/zg16zdT2uli6iBoMEMGsa527F/cydrUQZZ/5NYxf7xi5Gr2bGL6gSP92hRgeXBuOMVrB3prxZWlPHytiTkaQwcBk20G7UUtmQAvN4LtYfUEYt1XCW6VDnH67gkrUBgoFSIx5zK63v4D+B7dAR2GSWJOd6mD3sBv53/9J+n8ZHHCCeMM+GDDz7cLIYQQJzsJ8IQQBVVdeStXTpvHwid+ysZSj4fLYoymLLoP7E2v5/1sRgEvZx3afEXSKCcSXkooNBvH9/Hzv2OfU/845738JloH2RgVoFzQro8Ofi/HffIp2i5bQuXkRWP/gMWILHn5OUx/cKIVQ0P05f1ULO0tYWBbikRG5+ffQGmIupCMFZ8WDs+uxGlJ47/ROeAeHZQ9GLSrbsA4zHK639pCpZMpnfc+0vvX4mc7MaJlxGcsJ1Q6OX+0QvlBQJrcn+W5d13AnnkXcvs+g1I3+OCh7yLPjtAop7OFEEKIE0ACPCFEUYn5tSTm1xL68ec4tznJ7yeXsc4beS0FG3g0PaAotd9KOvs88/fs58KN20kkO+gsiRGyO9EalB78K7zSoF1Q7Tl2rPs1F14vAd6JYqVyg7Jl9ki5XHZ1Tc/NsAqhyQ3KYhlWoUGndlOWh78/B2ED105ihUv7n6w0qdBQNRtVz8GNB15iyqz3Eq2q6XO/Rvset+/K8fJEKMsFSXyeu+QC9pxzBSiLl6s9PnDQIeL1ljp3DXij2uGSIa4shBBCnAwkyYoQYlgTrrqdmG3yR9sP86FIhOK/no/MnP1JLn35ZeKpLrTvUdneTlnKJ2prok7x81wN2/0U31y9VbJrnjDFZ7G0pmf/HYCVsQtmsbQydvHusxF0l4M2FOnW+oJX3xtvKj46HczzgQLtg+8Hf/bpQWuPUsfnfYdtajqD9Z57zr4EVCh/BT245oOGubqh+LiFEEKIk4QEeEKIYSXm11L1/s+RM6IsPtDCddHIMfVXuymN6fmEcxnCrouR/2V6uAVwWsFT2Ryh5kelhMIJ4odGXirA0IVn2oq1AxzYF0NFDFTGo6RybsFjpiVLC7YDVNug8ktIq6bW4uPhO5l8kBcsFjWMEJ4KXm9xnd9XZ5bke9Bc0uThKY+UmaXLyJA2s6BsZjZPGOYRCyGEECeeBHhCiBFJzK8lfNM/si85gfMbWig7hu1IFV0uYXf4gG4gw4fp+7PscvZxhr1TSiicANnQsc7fDq3N8SET7PY0I6XQs4NPo1Wwn6/cKx5kzkp6YJgowIyWgw72cKL6vN2pIKOrr0KUeiV9zg4Cz3LHw9V2MCUJoH1sXLRTvDyDEEIIcbKQAE8IMWI1NTXMufGLbPfm8YGDxVPdD8ccIgviUAwN73+5k6p9GVawgZahlvqJcRF2M0Xv80xzyNvDtQPM3rIZ17Sww4UyVg7/kcCehMn8DpfbdmVRZgjTiqEMq88yzWDqLuZCyIeucPA26PtJFAqloM1MYmL0K59naoNWU+rgCSGEOPlJgCeEGJWamho+9Bd/z3nnfoAKx+2d5RihOfuzo56568v04bL1SersdibGJG398WaUGhRLs2NPL+93e/uCCwoeV6wdQHXZ2EYY1wrh2kkKBXUZMzf4xLyqrM9VRxxKXU1OKVAGhhlB6/45MQ0grGF3PHgbnOi+xtldOW7bmWOCEyOqQ4Q9C6WD4E4reLbszaLXFUIIIU4WEuAJIY7KWe+9hQ+0Zol7mtDIE2tSuyk9/EHDKE35vGq77D74B9mHd5yFLixHFYjQtYKSrv7f2/TEKQycrPXy7cV0JSoxfB/TdWhb/0ua1/yE1vX3k23eiUbj4aImby16/ormYHmnr8DQTs/MnTL6Jo3u/VDinGRw//U5zbWHcpS5PjnDw8MngkXCjxLyLTbEd3AocaDodYUQQoiThQR4QoijdkFsEje22Ux0HIwRBnlDFrkeBQ141EuyleNszRln4A8I8BxL4UZM/K7+39sldc9g0htOacDMtxfzxtJLMTyPsG3juzm01vi5LpI7nsFurMc1t9MRaS96fqmrMT2fElcT1lb/vXfddO/OvkS+onlV8zlAEBiGdAgLEw34aGzlsSQ9l+ucWcWfGCGEEOIkIQGeEOKoVVz6Ec5zNH9xIMm3dzVS4nrDLtnsLCm+/2qkFHDtC61ofJxMRpKtjKG1DRv46h++ze2P/DVf/cO3Wduwod/9LTsOowYE8yFXo2yPdGmiX7BtZYMZPaUUWilUfuqvu72QrilnkYvG0SgMw8QwQ2CYaK1J719LJDuHkgPFX0MOHuFRLALufrUqO4Hnh4i6iqg2e3owUHiGRhFiWsviEfcrhBBCnCgS4Akhjlp3+YRo1TQwLD7YlCLuaYwhiqHXLYqPybXnHnCJAiqXoyl57Ms+RRDc3fnqA7Sm2wgbIVrTbdz56gP9gryLX2ss+MZh+ZCexqBgO8hRojHQKAYXsR/ooj2vEe0OAH0P382A74Iy8HNdaCDWeW7R86OjWC6sgE4rGFHKMAjrYIzdU3xKA1pTknExXRdTsmgKIYQ4BUiAJ4Q4Jon5tUz/zPc46xu/YeEH/pFZyemUuhZWkSBv14yR1VHrTmA4FBu4yNxAtKNlVGMWhT20+QlAYxkWSikswwJ0vj1Qmi4eQSW2t/XPbJrI73vTfb7y7VvfPFSwj7mHX8T03N6DtUZ7NvgORjgBvo9plRUdg4kRnDmC3D+2gjWT7fxl+iwvLVDk3HI9bEeyaAohhDj5WcMfIoQQI1NTU8MtfIyXnnuGeNteFiYO8uSUMl5zvX6ZF3MWRNzi/Yx0gd0VL7SirtnD4heOwMfeeyxDF0BTqoWw0b/OnalMmlJBAL3+cNuQ35uoDTGrN1CyV0wg/FwTOH0ippDCXjGBF1fWc855Uwf10XxI4Rs+4YFbNX2P+MxalBnCyxYv0eHiYdK7hDPbvIP0/jr8bCdGtIz4jFoiE2fREg2xthrKS98EriDqQxabCCFUv0epMEIxtO/i1D8LXENyWx3tqx/E7WjEKp9ExaUfITG/dohnRgghhDh+JMATQoypmpoaampqAEhuq+MDz/4375leydtKsypt0wmsXFHGdas7B5072vIJcw+4PPt2B+8vG9/i2+8U1SUTaWo/iOk6PW2eFaK64gwAfrv1ANcqA0MXn8XL5l4HlgKwamqES849g/hbhzE9D880SZ87hZenGpS+XnhZrbb9Aq+DoNxBtLoGUNhte4pef0/5Ac7qmAloss07Se7IJ3QxLPxckmT907S+bfOzT9SwJFzCQiMJQJuVpMyNkzJylGTBsCL0e0VqMHyf5LY6mh77MdoO6gHajXtofOTfyS7/IFVX3lp0XEIIIcTxIks0hRDjJjG/luqzr6Ry036Wv9nAN3Y0MjXncGhqiD1nDP/50kgq7J23KY2+GJ5at2H4g8WQrmjPMseAj1SU8CcTy/hIRQlzjKAdoDVj9yRKKaYz19Xz9+q9CcLbW3GtENlYHNcKEd7eSvXeUiomFN6LmQkrQvnZO2XFwMjXOtQ+revvJ3NkG+HKWUWv/8K0KbxSnkL7Hun9dUE/holSCqUMQBFSYT7y+G466nex0w6WaL5QvqOnoLlhhukX3CkDDIOSmbW0PnNPT3DXQ2s61/4vyW11Qz43QgghxPEgAd4Y2bNnD1/+8pe5+OKLWbhwIe95z3v453/+Z7q6uoY/WYjTWNWVtzLpw18FI8hMeGVrCoVi5bvKefPsSNGi2dlIhPoF84ftv6LTxTDg4JtPSpB3jGY17+Ha0hhVlklYQZVlcm1pjFnNe3qO0ZHigbmnIBxe2nO75s3GYA+daYJSwZ9aU/PmES67uqZwJ32ieu274NtBo2Hh5bpI7X4eJ1V8z2WSEl6ZVk3H9ifxs539yyTkC5+jNRM6XN69ppM9O4Llnnsqz+DRytfpNDMFSysow8KKT8DtbKZjHxx6FQ6tC/7s2AdoTfvqB4uOSwghhDheJMAbA0eOHOHmm2/mueee48Ybb+Tv/u7vqK2t5f777+cTn/gEmUxm+E6EOI0l5tcy6UN/DeEoC1M2NzZ1UuH51C0u5eEPV9K1wCQUA2WCGYP282Yx89vf5F1/fPuwfRs+1NsOc6o7efO1V8f/wZzG0rOr8xNXqvdL5duBymgIjOKbJ1MxA8voTYASSybxjd78mRqFbxjEkkmyd/07zWsGz3jFHN0b9PvBUlFlhlFmCJUvl5BqWMeub3+Y3d/5GM2r7u13fikpwKN0zuUY0TK07+A7GXw7he9k0NrFjJaBhrALi18LPoSrClWxf8JM7jjj5eJPkDLp2KtJH6Zfcb/04SDIs5sbip8rhBBCHCeyB28MfPe736Wzs5Pf/OY3nHfeeQB87GMfY/78+fzf//t/+fWvf80f//Efn+BRCnFidSehaFl5Dwu7mlmYbseIJvA8D0o8WAQ5M0Zo+Yepfc+Hes5rrqzAa2sv2q8B2E8eouF9U1E5+TDlWGgzWMLYdxGmRuXb4cKpFZiOX3TprKEUk0p6SwmkE6VEUyn8PmXrDF+TTpQS3rOH7d/9Hl03XM/s23v3rvmxCKbOggsoA2VGgpm3bspA57pIRf+cDiPFvg1v8F7u7dn/NqPTo6XMxIyUESo/Ey/1ep8H44PnY5ZMwkm3BIXO81lBl6hNHMosY3nTdIZaHJwuUnIxfRjKZw6ROUgIIYQ4TiTAGwN1dXWcc845PcFdtz/6oz/i//7f/8urr74qAZ4QBEHeaLMN1vzZZ9j+r/8GFP+1e84BlzuyOc6d2HqMIxydtQ0beGjzEzSlWqgumchNC65l+fQlx3UMY0sNSnCioKd63ebmJFPDBtgDU1wG35u443N9zZSeti3LlrPs2acJ21mU1milcE2LLcuWc/HTvwff5+Cjj1F69jyqVgSvi8hFFaiXGgEf7frg5lBWJCiWjkZpHyNSio1Lwo9xrqrl6Q11fOLK4JoHwpVBiQ4FTsdeMKwgsNN+sPRSGditO3seW/cDPrPD5fwGG1wfzMiQz9LeWfPYeMGlJEsrSHS1s/j11Zy55+1RPdPNq+6l67Un0K6DskKULru2aJKWtiObOLRzJXa2jXC0kqlnXU3l5EWjup4QQoh3DgnwxsBvf/tbbNse1N7aGvyyaVnyNAtxtKpW1NJ40YW0rSu+/FIBDrAr0sjvf/80H/jA+JdM6C4KDrpfUXDglA3yiqVP6W5vTGeHOAqcRJylUyp7brtYwexbn+WMKBW0d/N99v/6wZ4ALzovjmdV4b3ajt9io9BoN5PvQoFpEZ95MVEdBzQuPjPN82n46ZdxOxrpPPtLhH0NKPxsZ7C8s88MoNYa30n3PAq3JAjmyg/Mw3A1Kl8molB5hXD5NPbOmsdzV30IjGBasm3iZJ676kO855nfMdXYMfQTnNe86l466x7tHZPr9NweGOS1HdnEvi0PB8GtEcLOdbBvy8MAEuQJIYQoSPbgjYFp06Yxe/bsQe0///nPAVi+fPnxHpIQp5Vz//brIzquC3jrpSeGPW4sjKQo+CnHK/JhVL5dayDn45rmoEMUULf0Ev772Yd62s5/7aX8zFk+nFIKtB+095FrbOzXjzUnQfjm6XTOOjsfSPUtV9B3HldhYTLRK8PtagErTJnjc8WOw6A1RrQsuH5fvo8Vn8iEJbdgTjqb9Re/BwDLK0WZIVCKbHM9yR3P4OeSveUVdjxD486neOGKD4Jh9q/dbphBe76MwnA61z024vZDO1ei0Rj515lhWGg0h3auLNr//u2Ps/6Zb/D6019l/TPfYP/2x4cdkxBCiNPHMU8t7dmzh71799LY2EgqlcIwDOLxOJMnT2b27NlMnz59LMZ5yvn973/Pb3/7W6ZNm8aHP/zhEz0cIU59Sg345b6/Ofuz7JoRpXPxTNYfbus3kzQemlItKEw6shl8HEBjYJBzB8/mnzIMj7dth5ezDh2+T7lhcEk0xDyrN8BS0VJ0NoP2vH5zeemwQf2Mcuzm1/g8NwGQ6GjD8HoDLKV9Qq6P2dHW77JmSUnvDTuK29CM92o7E9NxPGWiQkGpBKVUT/mDoCZeftgYKDN4O7vm7W1MMc4EBfEZtSR3PIP2vXz2zGDpZmzaUlS0jNKz3wsTg7617o1D0/vXBtfLz9JpFNq1yWZb8a3woKXCGvCtoJ+WlfcMvwzZ90lNq8SeXA6GAl8TPtJByYG2QYfa2TZ818XTqd7nUYWw9eBjIQjuGve+0Ds23+25PePs64YelxBCiNPCqAO8bDbLH/7wB1atWsXatWvp7BxcrLivCRMmsHz5cq655hre/e53Ew6Hj3qwp4rHH3+cr33ta8RiMX70ox8RjUZP9JCEOOWd8Ucf5ODvHi26D+/qVzr5fzdHOUQ9d2/cA4sZ1yAvES6nKdVIn5yP+Pg4vmZtw4ZTcpnm247N4+kcLkHQ0uT7PJ7OcV0cLgAml0Q5MqWG6vrXBp0b9nzO2LGKHTN6f8arIgH5wHa7pbfsQfsbJUQ3bQMNvpsOUqv2O9kIyh/0beoTalY5pRDtE3oaIbQdFDM3IqXEZ15EZMJsdH5m7+KmwYlR/GxnsHcvT3s2jqEI2XbR1193u9fVXOSIXqlpldhTK/qMUfW/3YfSBlo7/dq0dlC68Htp497VRdslwBNCiHeGEQd4jY2N/OxnP+N3v/sdyWTwZqmH+DS9W0tLC08++SRPPvkk5eXl3HbbbXzqU58ikUgc/ahPYnfeeSff//73icfj3HnnnSxcuPBED0mI08Ls22/l4O8eLXp/JJ/3IwmkO57k15uuG9cAb5I5nSaClIpBIhLyfze4b+P/npIB3qp0jhn7s9RuSlOW8ugsMalbFGfVDPg4cH3NFA607Au20g041/Dgok2d7JhR3dOmfF14x54/4L3D7w2Sc/W7UL7CtyIkjDCenekf5Gk/WHpJ/6WaXroTfA8zVApak23ZSXLHM8G9oRhoH+3ZoPNnao1p56ggCJS8bBtGuBzDtDCiZcHyzPx1DTNKyMvRFR6bD+vsKRUjbvezqYLv1H42NbgxuGeU7UIIIU43wwZ46XSa//zP/+SBBx7Atu2eoK66upr58+dTU1PDrFmzKC0tpbS0FKUUmUyG5uZmDhw4wNatW9m0aRMdHR20t7fzox/9iLvvvptPfepTfPrTnz5tAj3f9/mnf/onfvWrXzFx4kQJ7oQYB1ZZGc4QqwaufaGVJy6fQNg9TFvWKXrcWLjC2M0WYPaAgOi1RXF2zBy8R+1UUL0/y/te7sTKxwJV7S7XvNzJHy6Br/7h29y04FpKO1oLBm0GUNHlYhJE2s1r6oIljwU+ByzWDhBLJXGtCKDwwnGUk+2/xBKIzxy4BFLzw2lltFkmX6/vwIpVkd4f7IXrXmaJMtG+R+bgBsIT5+THYeBn2wHoPPI6ldMvB6yCSzuVYRGNTgCgptPlkmaXckfTEVK8XGVRXxa8nRqx0iGf4+AgxRr3PN7ibDxMTDwWsp0V1puDDtWGZpc3jdc5ny5KKCXFBbzBWcaBoa/R9wNYVTDMFkIIcZoaMsBbtWoV//RP/0RjYyNaa2pqarjhhhu4/PLLqampGerUfrTWvPXWW6xatYrHH3+choYG/vu//5v/+Z//4dvf/jYrVqw45gdyImmt+du//VseeeQRZs+ezU9/+lNmzJhxooclxGlHu0PXGZt7ILjfs1yc9PgGeNu3HubTL7cRz2+500BZ0uXydV34nJrLst+ztje462b5QftvzmrjJ+t+yZ8MTFrSh+kFAS/A/l8/CCUmJAeXVCjaDqRKy4iluvBNk1ymhdLKWXipFvxcbzbLaNXcfue4eLSbBpbWZFv3kJhePWiZJRAs78x1YYbiwYye75Lctxb4EJ3tDZjZZyg/53qiVXNxOg+RPbwRfA8Mk+iUxZRPOYeaTpdrDgevLVdBqat7bmdaIR4dfmXLGvc83uDc/C2NhxncdoOlsH3tcqfxrHkxHhYaRSvlPMvFKPcVlhbo2zTCeF6uf6PWmMOUfhBCCHH6KBrg/d3f/R0PP/wwWmuuuOIKPvvZz7J48eKjuohSikWLFrFo0SK+9KUv8eKLL/KLX/yCl19+mU9/+tN89KMf5Zvf/ObRPoYT7u677+aRRx7h7LPP5he/+AWVleOb3EGId6rIpEm4e/YMecyc/VmSZ8bJ7NwDjK7m3kitvedbzF7dRrhPvKmAsAs2mtpNx7ce31iJF8kPE7fBMizSuRyGP/RSv3etD5bw5xobYW4Z+s3ByUDUnDIo0A7w5gUXs3z101i2TaJ8JmVz3p2f7NNgRjAMk4FrRN+OHOp5MwtPnE22uR6tPXBstDJQZgiVr4cXLO/M02CbwRLNkOPQZe+nzHfJte4h17g5KJlgRkD75Bo3E0pUc0nzJEwfLB3MWvoEgd4lzS6rJr2b63K9CU6KeYuzg+ehT/0Ijepp7+tl4wJcHeozZIVLiJeNC/KpbPpLHM7SUaX6r6HVQbsQQoh3hqJlEh566CGWLFnCb37zG37yk58cdXBXyGWXXcZdd93Fb37zG5YtW8Zvf/vbMev7eOvo6ODHP/4xAFdffTUvvvgijz76aL+vNWvWnOBRCnF6mPGxj/SraVbI+17qJKs17yp5lu/88FfjMg7vxS2EikwmWi4kUoVnp051vlZDrvZTQGkqCACtRAn2jlzB49zthfePJbfV0TlnGm+ffR6W51Iysza/X84Pyh4UufhUZwJZFSarwnhdzSR3rKInwtE+2s3h2ym09onPqAXt4zsZtPaomBrMmWUSiXzyF9VveadSqmeZZ2p/HRNsn5Du3XepgJCGSluz5ZyLij85fXg6CFK1Vj1f6Hz7ACmCDKOqz1ff9oGypAdvkFT5diGEEO8IRWfwvv/973PttdeO68XPP/987rvvPp566qlxvc542rhxI+l08MbZHegNtGLFilN+GaoQJ4OqFbXwta+w7V//regxIQ2L1nfw/NIylGXwzdVbub5mypglXFl/uA2vwyla7tsA0iWn5h68IbbGAWAojR83UUMEsArYfc+9OJ1dWLnCAZ6Z6z9VaMZiAOx74FEuvGAW4f27scNRzGg52nPIte4mc2A9vp0EMxKUS3CzPUs2K6p7l2xm8sEZqsDnl55LaveLJOufxggniE2/gGhVDcltdagZURINFSilCi/vxMDLdmLgA4XrAHqmBVrT8NMvU3HpR4qWSzDQ+AVeQUbBZ3+48vP95ario2oXQghx+ika4I13cNfXNddcM679f+ELX2DVqlXcf//9LFu2bMhjN2/ezF133cW6detob2+nsrKSpUuXctttt7F06eAdD5dffjnbt28fr6ELIQaoWlE7bCBywdYsTVVhGmaspTE5j/s27QPGpmzCY/WHebevC/yK38uYcWL2O60/3MZj9YdpydhMjIWPKrAtFDZowPVdTKUxVlTjPXsYY4iVmgefegIzFIUiAV5fO6aHWXtejDse+WtKpqeobYswIdmOYxi4uU7crkZSe14KEnxpwO4KvvdmuKcAOUD47BswjQRu9vsYZhT87iCy+xFpwMfPdaGsGJ6dIrV7Nb5v0/zkesL7feKzPoTvuRjRMrxsR5BkRfv5YFGRjCuqirzwtAYzn9jEbtxD06M/BCgY5IU9TdYc/EyHPZ/d3/kYpcuuperKWwEodTSdIdUzW9h9+VKnyECKTbFKohUhhHjHKLpE83Rx//33s2rVqhEd++STT/LRj36U3//+9zQ1NeE4Do2NjTz11FPccsst/OxnPxvn0QohRkKFQkXnNbpdtrYTlwzZnIsmCMzGQkumeC00AM+EioPjm+ClkPWH27hv0z7asjYhQ9GWtblv0z7WHy681200FBBLpSg3lhKdW4YZHyYBs+uiTJN0vPAyQg0QVoT/bBaZK6pJxhRhI0RbHB6LHiFdYqD8HK2H6sgceA2tdbBMUvdZF+u7PUsn0/vrMI1KIEw2EkX7uZ6Mm32u2PN3pYLll1prMkfW4TsORtLBipQBPqHymeA5vX1oH6099s2eRXtE4dF/yaQHtEUUVRmfw69D0yZIN9o0P/n/Cj9+ZaAGlIpQvkYrk455k2jatpLmVfcCcMURm7Dff0lo2If3HMmx8dm/Z8sr36ftyKY+z0uRV2exdiGEEKedMQnwfN9nz549vPHGG2zdupVDhw6NRbfH7MEHH+Rb3/rWiI598803+Zu/+Rtc12XZsmU88MADrFmzhl/96lcsX74c3/f593//d55//vnxHbQQYlhTrxt+hUHchijg2r/hUOvdbD9yP2sbNhzztSfGwqRjhRfTATgKdNfxD/A2vrKKj236f/zZ69/ho5vuoKZt26gD26GKeP/V3kb88DwMO462h95jqEpD+OkMmdo5hfsMmajSEMpULEuEuSQeQXsaNz+rtWZhGKUg17ILL9NOTynznqBN9f69X+FzjWtawcxbsUfVs3RTg3LRdg6cLHY4iu9ksNsbyB5+Y8CADRRw5p4mdpUYWPleu78sYFeJ4kjc5J5Pf537P/xFXootJdVQuKRH2PPRRv+PKLShyBlwR+STrJp9Nc31zwFwVirN+w/mqMr5RHyoyvm8/2COuakMnpslkzzMnrd+0xPkhY90FL5mkXYhhBCnnxEXOi/khRde4Fe/+hVr164lm+2foauiooJLL72U2267jQULFhzTIEfLtm3+9V//lfvvv3/E5/zwhz/Etm1qamq4++67iUSCJVYTJkzgrrvu4vbbb+e1117ju9/9LpdddhmGcdpPfgpx0pp9+60cfPSxfgWyC0kDpk6hieJ7Se589QGAYypCfn3NFJqdQjuoAhEXUpXHdw9eclsdF9U/SsRNYwBV6SNcU/9bLrLKuW/JX464HzUrCnsGZ1tUs6I0LTqDGcYhzEPzcBL1mK2pgp8Q+oCxqAr/hYPMqMnS2DydxJsHUFoHoVbIxDA15oXlQBAgnZ+I8Gq7B0pREwqeO8dUJNJ+cI6XxfO6w7x8WNUdqGkfI1zSswIxmh06mYgyQ3hOuvf7l7DYXj4XpQ+Ta9tLeu8rQWmEvudYITQGJakk5SkfW3Vn0VT4aBwFc1KK1YCvDNLxMl5bfjWsg0LvfmqI+eegZMICmA7zAUyPeV3BV7/nOeTla91pfC9Hw/bHqJy8iJID7XjREF5l7+yp2Zai5ED7kM+LEEKI08dRRSnpdJrPf/7zfO5zn+OFF14gk8mgte731dbWxmOPPcZHPvIRvv/974/1uItauXIl1113XU9wN5LgcufOnbz00ksAfP7zn+8J7rqFQiG++tWv9hy7fv36MR61EGK04jNnDnuMC9iAiYvle4Dmoc1PHNN1Z+7eXrScAARL6LZNOabPzkbt4HO/JuKmeZU4W9622LtBseVti3rX4ea3fjrifiLXngHVA8ZuAAdt/P9p4D37nmZHNEHd0quLvnkoIFm5AjAw7DgtF5g8f+kEmissnJBBR2kJrZedjTkn0XO8pUDnlxAuPlzOu9clsVyNPehp7BMYGX1m6vKlDvoeYYRL+rV336sH1PFzvTC/n3kdESdH9tAbQdDUM8sX9KbzyzWtaBmljk+OHCkjR5eRJWXkyJGj3PH6LwQ1TF5f9u6Cz1HOVIT9od+A3zLmB4/DLbyfs1+71tjZYCmuf+aZeGWx3olLDV5ZDP/MM4e4mhBCiNPJUf0W8vnPf55169ahtcYwDJYtW8a5555LZWUlWmtaWlrYtGkTb7zxBlprfvrTn+I4Dl/72tfGevz9dHZ28sUvfhGAeDzOV77yFebOncutt9465HmrV68GwDRNLrvssoLHnH/++UycOJGWlhZWrVo1bLIWIcT4mvGxj7D9X/9tyP1wF2/o5JUlZXi4eApcxyfXOUR0NgL7f/3gwDJsg8w8NHRB9rGm2w/zGnEmvZEBDa4JsbRH7I0Me8+HS0bYj7crCS0Dxu4DaHTSRT/fzN7LDlJxaE/RPhTwVEUNH8ZnQybEjoZ2LtqUoizl0VliUrfApGX6Qt7rH2a2cYDuSMT3csyIzSb62rYgxtKaSN86g4aFUgaY4XwWzRxGOIFZMhEHl9t25ih3NJ0YQYBW6IVhmOC5vQM1LLTrYasQyUQ5kY72fPZMDZ7dMza0j1KK+IxaWs0UpW4UT/UGiqY2aDOTMKB0gW8VLnhf5nh0WQYxF1LWgFdS/pKeCmYyfa14cVKI9RNCeApMDUtbHd7dNGCZbD7BS9ekMFo79LxCFWAadE0KIYQQ4p1h1AHe448/ztq1a1FKsWzZMv7lX/6FGTNmFDz27bff5mtf+xpbt27lnnvu4aqrruKCCy445kEPxTRNrrvuOr70pS9xxhlnsHbt2mHP2bp1KwAzZsygtLS04DFKKebPn8/LL7/M5s2bx3TMQojRq1pRC1//6pAlE5ZtzXK4KsyuGVFQ4GsfF1jbsOGol2kmDxwY9piKTpfktrqiafLHmvI9St/WGK7G8sHQ4CtwDSh9e+QBrft8cz6gG8DWoDSYsPD5VcTsofcYJsMGO6aHqW/YzhXrukCDY0JJ2uO9a9rIrn+YqK1pKAnTsHQOtfOzOLhkjMmUdK3DHxDcAShlUjLnciIT52CY4XwQ5+M7WZRpoXMaAzCj5XjZTjR+kCilpwMDwwzjKxfl2xihEnzfpau0HG2YNC1+L1UvP4qfS9IbHeaXhBomJbMvwyqZyLNlm7ih7UJMbeDhY2KAgmfLNgGTR/Q8X9zk8vTUMN5QnxLkh/DCpDCvTewNzjwFr04MAZq+76Yqvy/S0y5Wx1QijfMx7TheOE1u0jbc8rFJMiSEEOLkN+olmr/73e8AmDt3LnfffXfR4A5g3rx5/OIXv2DatGkA/PKXvzzKYY5MLBbj6aef5rvf/S5nnHHGiM87kP+Fbfr06UMeN3XqVAAaGhqOfpBCiDHTXTJhKFes6+p3W2Ec2zJNf/jZOeVD++oHj/4ao9RcWU1pp0vIC4I7CP4MeVDaOYrZxOwQexo14ELMdoacNQWwnd2suqiM5ZvSoME3FSiF0pqwC2Upn7CjqWrPsejZrdRti1KW8mizt9NZYhEuksMlc+B17Pb9tG58gOY1P6F14wPYnQdRZhiFRqOJz1wezPD5Pn2n8ZSRD5J8DzRkyOApzcall6CBcxvb8Z0M/af+NJhhSue9n+iE2XTtq2NbopP/qXydTjNDSJt0mhn+p/J1tiUKJ1QpZF6Xy8J2F8cY7tULGyYE4x5Y6Hx9vh0NeD6J5iCYtTqmEDuwGMOJopWH4USJHViM1TFlxOMTQghxaht1gLdlyxaUUvzpn/4p4fDA/Q2DlZWV8dnPfhatNa+99tpRDXKkQqHQsEFaIW1twd6FYrN33brv7+wc+Ru5EOLEiuc0c/b3Jg7xtMu+9oajzqhpoIcNKg0gpY9f1kJ3ainKH7xsVBEEm2NtuMe/tO4pPAPKUh5+n3eZSIGJPxM454WtJGMGvp+kblF5T5Dal1YKL9NOcseqYJbNsHrq4GWbd9CdfCVSNZfE3Csxo70/z5UZCbJtujl8HTxRXXGTVReVsndOsNeN3WtRhhXs2+uzB0+ZEaJVZ5E58hadyT1EwovZGj/Es2VbaLPSVLhxrug8l0W5ArO12ie5rW5Q85Yyn42VBh7FS250P8dekfp1nlLg+ZgZm/juJkKtSQDCR/KPR+n8C0D3bz+BmtfUseEvv0zdxz/Fhr/8Ms1rBj83Qgghjt2oA7x0OshQNnv27BGfc8455wDQ0XFypmnO5YvxRqOF90t0606+khtB8V4hxPERrq4e9phrXu7sF+Rp4Cdr7z2qIC8dHf7HpgI2VsVH3ffR2mfYRQuvH998noHztrfhhww6S8x+BdGLZh71IFRxE8ooZdeMGOmI0XOsAgwzjNK6d1uZYaKU6lcHr5cmWjWXCUtu6Slj4Hs5fDeD1h5ONIL1vmomf2I6U+f17pnzsx35ZZwhjFAsyMwZioGXf3+Ycj6J8tlEQ7P44IEabj6yhMnpMJbtUOmUcF1TJTUDZ0uVYs2rawY93uenaMymFJPXtTH9xcNMXtdEtDHT7xjTCwIzk8LTmabq365zQYCncnEGb0DU+fYTp3lNHTt/cge5lhZUOEyupYWdP7lDgjwhhBgHow7wupdbHhjBPpRuLS0tAEyaNGm0lzsuTDP4JUEV+aRUCHHymv0ntw97jOXDZa8HvwB3/9afcbN8/+Wf8tU/fHvEgd6vNq1GOyObElvtDV0rbiy9kju2xDE9RhC8joTlQ0jBq4tKMH2IZXxKMkM/b8qaSCS8hLP2p4nYwbHdP5G1Z+ezX6o+s2vk45igDp7q/k8HCxm9bOGVFq9cdg2/PvMT3OfdxO7wdVjkqOl0MaJlA4qjE5RgiJYBYFhhSmddxvTdb7O46wzQBAXYNVi2jeF4vGdPhhnPHmLGs4eY+EYLWjs8HzubPf/+KRp++uWe2Ty/xWDC22mMnI+vwMh6TNje0S/I8/PLN89Vb/c8VA3kHx4L2Q6mgRcPk55dTa48COBc0vieiXLDKDeCcsPgmxBNs3/740N+D8bT/l8/iNZgWBZKKQzLQuugXQghxNga9bv5Nddcg9aa++67b8TnPPTQQyiluPLKK0d7ueMiFosBDKrlN9BIZ/qEEMdP1YpalDV8vqjSdHdh7HxcoEGj2d9xkO+9fCd//tjfDhvo/f7tPxAbYSzVMUyNvrE0f337mPRjvbtq2HcFBf2WXRbi54MQjYnh6xG/0YRDs7ni1SRmzwRU7zyesqKYsYr+QZgC6A3C+nJTjUxYcgvVF3+R6ou/yKSLv0jl0k8SmjiPJHFMXFLEmNuluOawQ2x6kBlZ+15Q7idfgiE+o3vppSYUKeP8117GipQGySmtKGYojhGKobSixOx9pPEWm6o32ugIV+B7Lm5XC81P3kFyWx2lu5NorcEwQCkwFFpD+Z5k76xj/qEvsTexUG0NZvJUMKN3PluoNd/sfbCmQWbmBABsdQQTq/9zpy3ckiM07n3hhAV5ucZGlNl/PlmZJrnGxhMyHiGEOJ2NOovmZz7zGZ566ik2bNjAV77yFb71rW/1BEiF/OAHP2DVqlVMmTKFz3/+88c02PHSvbeuq6tryOO6995VVlaO+5iEECN39lf+atiSCQq49oVWnrh8Aqq70IEGP582siXdNmwhdNsd+mdEX6XHsVLC4q1Dfzg1UuacBLwXvFfb0S3FI1kzZKBzxQNYJxLlimiYik0dGLp/TsqhzNy9nVi2dwm8EYrh+y54DtruwodgJs+nJ4sm9A3CAtr3iEyYi+85Pcs4AcxIOVe+uYXFB9YRTreTSpRTMb0Ws2Iu4ap5KGWR3PUC2s5n0lQGXW8/RXp/BfEZtUSqayjtbEP7LnbHQdL76/CznRjRsuD+qrncNLmclOexqStHQ6uDZbeDa+O7wfO57+7vYfFJtNH79qs8H8MDM+kyZV0THbMSZCcFe9w7D3m8q7KR9zZVYjrdWTEbccv7v9p1ON+fPgMPL8jumc8Cqg0PKzUZm6007X+ZGWdfN8x3YuxFJk0Klmf2+TBGex6Rk3RljxBCnMqKBng//Wnx4rjvete72L17N7///e+pq6vj+uuv57zzzmPixIlAsNeuvr6ep556ivr6emKxGH/+53/O1q1bWbFixdg/imM0e/Zs1q1bx6FDh4Y87vDhIM10dzZNIcTJoWpFLdtHcNxZB7proOVDjfzvyPlfg+kuhF4swJu3P1OwfSDPgJn20EmbxtJQM2R6YJ21oWjYOT3CK1UT+Ngve9PqD+zBUyZGwXoK+eM9jwWREKm0LpgwpeA5Cha/trpfm++k+x4BflBwXFlRtJvtCayiVXPpLU6oe4I6w+z/Fme37sHeuYoSIBOyiCY7MLasxK/RMPEsQKPdPpk0tQ/ax8t2kNzxDCgom1GL3X6A5M5VwTF9kr0ARKvmUmGZrKiIsaYdph56vt8Yuvb5eHPTmLlSDN0n+s0LJV0mbu2gyekALqIrOY8jnWXs6exCOTY6lGN2ehpLZoFX3v89a/0z36BEvRdluMFSzm4aTDuef0jHt0Zjtxkf+wg7f3IHvuuiTBPteSgVtAshhBhbRQO8733veyPak9bS0sI999wz5DHZbJZ/+Id/QCnFli1bRj3I8VZTUwPA3r17SafTxOODN6NrrXvq5Z177rnHdXxCiBEwDBhmWeSgn2h94jxTGZjKpCnVUvT8d61vG3YWCkDHTd5dNcLIZpxpd+TjqHcc/pDJddfM7u2DPvvhgC3zzmfhm8WzIufCmhZ/OuWhZix75PsDy1uLL9dTVrgncFNWmIkXfnrwQQMfquof+qYb1qK1xjBMYpk0vgJtRknvqyM68SySu14sXAbDc8EySe9bS+Xij9G28Vf57vOzg8pE+x7p/XVBsAlYSnFheZSQ0UDnudPwIhZmzkW3tJGIQG6IzwqU51O1K8yh1x8m5SfY1xoOlhQrH5wwe1pAqymcd153EB5kdtWeg46kUU50wJOh8MLpoBj6CdprXrUimGXd/+sHyTU2Epk0iRkf+0hPuxBCiLEz5BJNPfBd/jR1+eWX88///M84jsPq1at53/veN+iYjRs30traCsCll156vIcohBhGfOZM0nv2DFuj7eINnbyyZMCeLa3xtE9nrosJ8cJLsJPb6kikRravzkh7qIaRL+ccS30DMRjdRuuXsw5n7suybFN6yOPO2bxxyPu19nlBX8T16o0RX7sr9cgQY1VBCQMIyh0USaDSV7Z5x6AllF6mHXwXnc9/Y+igLmLQn8ovzSz4iPLX7UApMzjeGPD2WWBcUcPg7tm3cYF+kzn+frywiXV5NenXyzCU7q5gUPDxmk6Eg43Ps7fzwuCb2T0VqjTaV+xpNzmvz/E6H+TlJm2jpX4hm7tcUq6mxFIsKLWYWLMt/1BO3Pt61YpaCeiEEOI4KBrg3XvvvcdzHCfUzJkzWbJkCRs2bOBHP/oR73rXuygp6U2f7TgO3/ve94CgePvJuMxUiHe6GR/7CNv+9d+GPW7p1uzgAA8Aja817el21jZsGLRMs2XlPSMei/Ihva4djtO2Y4/ecgj9520GT2oNpXJvmsvWdRU8qW+T6Q29zC/qBFcP21lc08QaQUZR328b4t7eq2vPBjTNa37Sf4lmzwGabMtOkjueCZYj+h5eqpmubYOTiyhA+w5mrHzY8fXLqBktC2rxKbPg/X0lifMitShgjt4PhsbIDBXcdT/iIPmKciKgwXDyiVNUkGFTuREe9K5hmdrEbONA96OhIevwVmcGfAsDSHuaVzszLMw6TC0H/HfGB7dCCPFOVjTAu+iii47nOE64b3zjG9x8883s2LGDT33qU/zN3/wNZ599Nnv37uU//uM/ePXVV1FK8Vd/9VdSTkGIk1DVilp2T48yu2HohCMGvclWCnG1zy82PDQowHu7KUTxdFL9KUC1O9TX1/csAR9P3WFGoZ9Mo/lxtXxTGsvRWMeYADRZWoqBRypRTnlbc78lnsUNDjz6LQ3VOgju8ksoNb2BWypSRsnsy4hWzUVrn/T+unxwVzgQ7Xcl3yU+YzmgMSKl+LnCs4Na+z3JXELlZ5I9uD6/b1OBaaGUOSjZSyCYXXtNnRcEeCP8fvjd786Gh+FE+gxEYXjgRSBFjBf1ReCvywd5UL9zFlr5GKFc/urg+4r6nbOYOrmZcGMnbUc2cWjnSuxsG+FoJVPPuprKyYtGNjAhhBAnvbEpenQaOP/88/nmN7+JYRhs3ryZ2267jdraWm6++Wbq6oLaRV//+te54oorTvBIhRDFvPnBc+koGf7H2twDbr/C5/mQjO7fvlvSg2eTsnvbRzUWBaxcuZL6+vpRnXe0isYNkZH/mC/vcI85uAPYuWwFDiE2LHsXSusRxTSfeKK1YHt32QDys3GF+LlOkjueIdu8A2VYwVLJnmN7v6/0tKh8S1BXL1Q5g0xL/dDbErQP2qOraSu5xs352bv8HKnnEpm0oP9MIpBWDjkdJkeEVlXBTvNMsEy0HsGMpmmwy59OpN/Y+/xdg4mPBl7TvcFZJhvF9RVZO0Q2FyZrh3B9RSYbgaxNxI+wb8vD2LkOlBHCznWwb8vDtB3ZNOyYhBBCnBqKvvPff//9+MehjpPWmvvvv3/crzMSN998Mw899BDXXXcdkyZNIhQKUVFRwXve8x7uuecebr/99hM9RCHEEG5acC2PfGTWiI699qXOAUFeLz1gNunuVT+mtGvofWmDqODn25o1a0Z33lEYMoAaYWF2YMQZL4fiA6nZ1aSd/WSya0e8RHRC+9DLPicsu33I+7Vnk94ffBgXLJUsfmUjHMcIlaCsCGasgmT7LlL1zwZZOo1wnyMVyopghEtQyiK9fx3Z3S8HBc6tcNBPOOjH6dg76Do7nd4slxp4UV/ELj0dL+ZwRizEB6tL+diUcj42pZwPVpcyPRICgufQ9DTP6lpczyr4/TXyyXMMfJKU5K+hwHTwPYueNJpaBbdNF6JhUlNK8DwHz83i2l14bhbPczi0c+WQz68QQohTR9Elmt/61rf49a9/zVe+8hUuv/zycbn4c889xw9+8APefvttbrnllnG5xvLly9m+fSQJ1AMLFizo2W8nhDi1dC+rzN73bUxv6NDC0HDZ+iS7ZkQHb1bT8MuNj/DJxTfy349+i+cyB/jCCCMVrcAxwSm1MAyjp37mCTOKz+lGGowNtbfPALLb1pOd1slFbzbhKbBG0PFws3zKjAx9gPbxUsEsYKj8TLxUc/cdg66kte6toTdzBel9QWCoDBNlmPjdmT9VkNxFa41WCj/XFSQp0X5v0hdN0cQvZ3FGz99DvkYb8LpexJlTDS5OmoRUT0VGSkyD2ooYde3QkHNwTYWrQ2hMVHeWzALPl49BglRPe841Cn5ym3ODVt/w+meb1T5a22TTTQXOEkIIcSoqOoP3mc98hp07d/K5z32OW265heeee25MZvQcx+HRRx/lxhtv5Atf+AI7duzgc5/73DH3K4QQEAR5Mz/4wREtCyztmxVzwAn/u30lH/vNF1iTagjuHmk9Nw2GD68vLMF2bcrKCiV0OY7GOKeGrxh2cf+yN7Yze38XE9udEQV3MIIAzzAxIonhRke2eUewhHLgIJUJhhX04bsYkQSJuVcRrZ4bBGf5kgq+5/Seo/3eunHaxwgnMKNl+SWWOgj80IMSrHQvK41ZVs8Dc5RBTkdopZzzvDCW0bNItIelFItKg0B2QKnG/LF9ks0AaR3D0SGWqd7llYbXdwaSYdt7O5TkK0IIcbooOoP35S9/mcsvv5y///u/5/XXX2f9+vVUVVVx/fXXc/nll3PBBRdgWUNWWeiRzWZZu3YtzzzzDE8//TSdnZ1orZkzZw7f+c53WLRINncLIcbO7Ntv5Zkdqzl7U+uQsYhiQNmEvtMkGnw0Smvm7M9hjuL3X8uHRHOO3BTnuGTdVeUWuuPYClhveu7xnoc/5AydBiyF9gvvrfMUVHS6XLmuY4TJVUZG+y4lsy+jq34leMVr63W9/SQoAyMcC4I13w1m6xSUzrsmv08uP7L84LqzYvq+P6hv7ebAsFCGRWz6Mnwng7tnNb7vBkGj9lFKDUqw0u857HNDA5U5v+AHBgpImMEr1rCDDx/cuEUkk8P3zZ5h+/ljp714GDdqcrBqEec75we17vAo/KwP/QIeyb7AY9W8pk7q4AkhxHEwZIS2bNkyHnvsMX7+85/zs5/9jKamJn7+85/z85//nGg0ypw5c5g3bx4zZ86krKyMkpISTNMkm83S2NjIgQMH2LZtG/X19bhuPvOZ1lRVVfHpT3+aT37yk4TDw3yqKIQQR+G5hRFWLpzEX/yqePFsKFA2YUAhuakHbd5bN7Kadt2/Qivg/O1ZHj63dVyzaK4/3MZj9Ye5Kuf1u35fIw2w1m3cxNlGUOJhOG6+XnahIMXQ+Vk+DZ4FxrHFnT0yBzcQn34hoAqWPOjhe4CHVgaGGQIzFCzJ9N0guFN9k65o0BCfUUtyxzPQd/YO6InMtA6ydE6YTfOeZ3EsizAKpT2MSCnxmSv6JVjp7j3tDX4yFUPPBhsD0p52zi6hcpvXmyvG0xg++EZw28x6tB7wePucLUyryBDevwjbHfzWboVzxS/ab9Tjo3lNHfU/+M9g+avvk963j/of/CeABHlCCDHGhp2CsyyLz3zmM3z84x/n3nvv5Te/+Q1Hjhwhk8mwZcsWtmzZMuT5fbOSTZkyhU9/+tPcfPPNRCLD7KcQQohjEHEtXMsjHVHEc0Mk3AD+4oFGdkyz+pdOyP++W/tWhtAogxQNmD7MmRwa9bhHav3hNu7btC9YDpgt/vhGOvGY8swR79fz0AXfPLpn7EwfIrYe0zTNyT0vY8YqiFbV4JxxAdmDrw8+KL/MEu2jPQelrO5id8ESyn4xjO55crqDs/6Bo0JZ4WCWzneJTT6HTMsOOpMHCFshshqiE2ZTOvUCjFjhkht7czkg0d1dPlZUwWrIIvGUAUyPhNjvBMFmZlKccIdDoiHdE3xrA8jP9OH7GC6sf3M+9Yk00884wu59Z9B3flWhWXJmsD/RMuO4fmbQdUOREdQCPAa777oHP9snqZHv42ez7L7rHgnwhBBijI1sjSWQSCT4whe+wOc+9zlWr17NqlWrqKurY9++fUOeN2fOHJYvX8573/teamtrpYacEOK4mM+ZbND1PHthKde9NHyik7kH3IL18Sq63BHNbQwMpFwD3hUdvxUKv916gJTjDRvAbZ4V5l0j6C/i2MHk1ggiwpBbZBGgAm2B4YxdDR4rMZmymqswo+U9AVzpnEvJNteDPeD7qn16rqz9/BJNB9BoM0S2qZ5odQ1BitNCV+u/SFW7OTBDwbWB2MQaJmU7ebqmknNfexHzyBaajmwhfuGfU2JaZPa8RO7wxmAWUZlUTz4fuGbQVZKeR4VlDmrvdlF5DD8JB4DYkQwlhzJoQ6FNMByN8kH7wcyi0WdlZTYbZl/DlD6PoVe4dQZ6dj0TZlxE497V0HdJpjKZMf+DRcczFuzmfNKbvr8DaN3bLoQQYsyMOMDrZhgGl19+eU9mzc7OTvbs2UNTUxPpdBqlFCUlJUyaNIkzzzyTRGK4TfFCCDH2blx+HdnnH2LLtH14RifmCGanzjoweKrOGOGs1sCAZ+PZUS61UwWPPVbrD7fRkim+D62v1ReV82cjOC7R2AolJiSDX/yHivWKBbxGzAJPE+wDO3aRiWdRNveqYJbSczDCQTmAbPOOwcFdDx+UFQQwvh2M1gyjPYfkjlVo3yM35SzKPdWbCROCEguGmS+O3ueRew5epp3WDfcTn7GcxNTz2TX9CB0ZxQ3b5lI+fTlWKETXrtXk+s4qag8Or2dpXZj1tVf06/KNnM1lVmzInXLnxSOsA8r2JIPGfFIWVDDz2F0mAXqTr7ieidaDk7eAYl27wzVtU2lUa4KlqEafENxzyDa8DVLsXAghTgujDvAGKisr47zzzhuLsQghxJipqanhE9zEmjVraCv7PVXD1FmD4JfiP324CcsPZuCiuaNbZugZ0FQVJpkbnxULv916AICatm1cemQ1PsWDsQUHh9t7FTBml5ByLeLJ/sHZwEcw1ASf9jSusggz/MziSJTMrEUDuZadZA6sx7eTGNEytDt0cKtMC2XG8J00htlbBkP7LpmGdWRyjVhGCYlpF/Sc42c7UWYYrYzexCw9/YXxc0mSO1bB3KvAfoM/2j4ZUs20v/kgRrQML91dqL3vM6ZZ8OarbJ29gvSk3oBu05lx5jTYzIgOXsLr6WClbHeyFSvrBXsau8dJ/9nRfpk1dfHXm+sZxJrnk6p8HmUMeFUbBocOvcxUPlzw3LYjmzi0cyV2to1wtJKpZ11N5SiDwUh1FbnGwaUYItVVo+pHCCHE8MZyi4QQQpxUampquPXWW9mwuAJ3hD/t4jlN2NHERxnc6T5fhg9XrE/ykj1p9IMegdaMzcee/DGX/PZh/BeGTiKzYsPIZhFD/hHi+wYHg6MJ1NpLJvLG4mA/Vd9UJkerc/tTJPeuIbXnJTw7hVZWkO0yN/SS25LZl+E7WbTv4btZtB+EwBqFl2mnzExQMvX8fucY0bJgr54ZwgjFevfzKQOlFMoIllSm99Vx3Wofv3UPvp0EIxhT34CwL1N7LNqdIt6Y6XkuM5NilFoGjj/42bVU8JXMJ2hxoyZK9z6f3a/JoDbe6MJo044XvU+HCr/a245sYvemX5FJHsJzs2SSh9i96Ve0HdlU8PhiZn36dsxYLFiiqYMsPWYsxqxP3z6qfoQQQgxPAjwhxGkvfe5MXri8+rhdTwGRlM9b7pFx6f+Gp+8iuq9j0DULCaVGtlyy4pXW4Q8a4jrdukqrBhXkPtpAz8t1kTu8Ce27QYClXfQQJRIAIlPOJzphds9+b609fDeD56TRXhbDilJ6xtJ8wNYdktNT5kD7Xr9C6GiNb6fwnQza93FzHUxuDIJmZZj9gr+CDJOLEzEWNPRPbFJimriAWyDICynF3vzkXuesRPAE5vfcoYPgzrJGl/knFHLwzZEt6+1r35aH0X7/7KLad9i35eFR9VO1opa5f/lF4jNnYsbjxGfOZO5fflESrAghxDg45iWaQghxsrtpwbXcmX6A187pYtnW7PAnHKPeUnrjswevYs/hnlpoQxlhzhQgWI46UgMqSfQob2vkkuce7dd2TEs1u4M53w2WTg4T3FmVcyg76zLSB9bjFzm2ZM7lBUalezJppvfXBYXPe5697gJ2PmgbDfh2Otjn149JsPewf9/RKYsJKcVFoTCbGzOkJ8WIN2VIeh5xw8Aw1KCUKLaCMyJBhJeZFAMFZbuTWFkPw/AxlI9p+rjdNdj7nFvsNWEa3pDfDJXrHzB2L8t0ncKv4WLtQ6laUSsBnRBCHAcygyeEOO0tn76E66a9h1cWl5E7Dh9rKaArbjB7nOp8tk9NHFVmzzFjUTCSUBrCbm+gcKzX73f+kMGdInrGBVQu+CCgiE1eSGTiWQWfo3TDq0GSlj7nZpt30rrhlyTrnwYgUfNejEhpwSsZhoURjg8qDK6s0KCgz6qcQ+mcSwGImwYTtndQUd9B5bYO3uoKlsMOfBO2tcYxFeWO7h5eP27IwPMVuVyoJ/xUFJ8pVUpjmi6uG8Lw+7wedZ8/PU2soa3nrrYjm9i35WHsXP9Z4oE2Pvv3bHnl+6NerimEEGJ8SYAnhDjt1dfXc+i1PUT8ECtry0a8H2+kXCMoEaAI/rQtWH1Bgi5vZAlORqvsUHJc+h0RBQfmV+MWKHkzHill+syhDSnX/HZ+EAaaIEFLIX62i+SOVfkgT5Ft3kFyxzPBPrr8frrkjmfwi2VA1RozMRm0h2+ng+WbdjpI/GIYKCuKCsVRVhSv62BPMKmCU0kcSIOvOZCzWdeRxtP9nzdLKcK2T9rxiDVmiDVmmLClg1DSRbkaIwdamwQ7RIdeAKuUJhx2UErjRbJ44XTQnsxiZmzwfMyMTXx3I9Fk7zLMQztXotEYfbKMBstD81/d/Rsh7FwH+7Y8LEGeEEKcRCTAE0Kc9tasWYPWmprMGeyaEeWpi8twxjAa2Xh2tCfToa/gzZooDTOidHjO0CceJTVuU3OF9U0gozVUbWtC6aEHMTaFEkZKo+0uml75Ma3rf0mudSdmtDxIeGOGUWYYMxTHsGI98VB6/9r8n3VAgf10PTN0g+fHIhVn9q/nlh8D6EH9dPfvE5Q2UD5B7ToNB7IO21PZfj0YQMhQHMw6VG4PZvuUV/i59sMqn0G18ItZ62Cmz9UGB6fW45YEe0J1PELZtsNUbthH2bbDRNM+ocqpPefZ2TaUMvt2NLBjAFy7C8/N4nkOh3auLDgGIYQQx58EeEKI015HRweGYTDJqWBGtopdM6L898cm9Us/f7RUtcXCXTkcS5GKKhxLsXBXjtn7s5So0/NHbNgdPsj0QoNLAByNILQaYaoW38XPdZHc+Twtr/0CpQy05wQlEgCUQikz2EeXDTJx+tnO3oyZeUHWzZ5b9JtH1D6pva+Al6+XpwyUFQ7+7g1IfKKM3uv0nfnqMyd5RiSEo3Wf8urgaM20cFBT0HA00yMh3l+V4KbJ5by/KsH0/P48Zfdmei0W5IECz6C8s4pw+5lYHVOCmnp+Psr0PfB9Ki79CBAsz/R9F9fuwrGTg4O7nqel9/nQvk0meajI9YUQQhxvp+dvH0II0Ud5eTl+/pf2muw0FqbORAFPXFJ2zH0r3yAEWJ6mJKuJ2ZpoTnPp2k4mnwQ/YcenEt/wQs6xz172jj1Iq48aIltl95FaB0lZnBQY+T1nvp0vYN67Z82IBt/77vII3XzPyRdIL3qFoDxCn4BPu7me+/of6vdcJ+n2CRo1TIuGuL66jIqQSSg/G2hrTdbXuBpKTAPDh+mREBeVx4gZBq7WxAyDi8pjTI+ERvG9VcSbprOxLUekcT4aOLBwLk1Lz+LAwrkcKq0ke+Bt2o5sYs+mX6P97uwthUs/FLN/++OjOl4IIcT4OAl+/RBCiPG1YsUKlFJ4XpACf2K2FEMbNM6ZQCZ89CGQp0B3OliuJjRgTWLMhsveGJ8smiMdsQIwT1SIN3aUGQYjFOxtCxdOftIjn9JfA4ZhgBHMdmnP7lf+oLssQnxGLdq183vpUr3JXIyjy8bj56+jfa/fdTYle5diTouGqC2PU2L1vgUrIKwUpgremFP5gHBRaSTot7v//J/d7YVMi4S4pqqUD08u55qqUqblZ/zeTvkcbA8BimjUR2uNFdKoWQne3rGO/dv+F3/I4HZoTftfPupzhRBCjB0J8IQQp72amhquvvpqSktL8TyP0tJSqksmogzF2ndNPupsj+lEDN8wwOu/U6v7K/rW+CVDGWJBXr8FjXqE8d1ow8DjFzaqINhSBowoaY3ukyBSY5ih/EyeQmkPI5IgMfeqnrIITuchesOmAdc9Gp6DdtJo3yEyaQHRqrl4WnMg2zujuSgRxTIK9989m9cdEJaY5qDR+QQzfIVMi4SorYhTbgUzg+WWSW1FnGmRIOvmWym759FZZu+jdKYkcAplzSyQTKdYe8/MnxBCiBPqmBKGt7S0sH37dlKpFK7rBp+ODuPaa689lksKIcRRqampoaampuf22Q0buPPVB9g9M0binCgXbMuOKnmJVtB6Vg1e7giVW4sUNC+SHGOsjCQESSWGX9ZYrL/jnMulIGUGyyyV1mBG0HbXyM5TRrB3T4EyDIzYRCYsuYVs807S++tI1j8dZKL0itRF9I9+iakKxUH75Bo3EyqbSrRqLtdUlbIpmaMh55CwjCED9HUdaQ5kHXxLkfR94kr1C/IMIOUVXj65tCzWEyR2L0cNKcXSshgHmrpIeR5WxxQijfMx7TheOE2uehuhisOFBzTUHrxBQZ58ZiyEECeDowrwDh48yD/+4z/y0ksvjSio66aUkgBPCHFSWD59CQAPbX6CNUtSHK4Kc9nrScrSw+870sCGeTHMSVVMm56F7UcKTwKZit/X/YEP1L5vbAc/CrY78n1UJ0NA158Kyh74XpDVcoT7+hRAPpkKXjC9Gp9RS7apnuTOZ4OSBgW/YWM06vx+Qe17pPfXEa2aS0XI5NLKOCnPxyg2KzaQoVhTaXJFEgzXDzJx5u/alK+jNz0SYlFphBLTJOV5PTN7fcvcKYI6fKAJmR6xA4uD+5SH4USJHVxMRm3EGxjkjeL9HcAKxUZ1vBBCiPEx6gAvmUxyyy23cPjw4VEFd0IIcbJZPn0Jy6cv4fZH/prdMxS7ZkSZsz9L7aY0ZSmPzhKDPVNCzNuXozQd/LxLxg1eWlLGwWllXNihiIY99Hml+BsHzywZZ8fZUreJeRPn9Js9HG/dv9QDTMyM7Me8G1aYduGf6X3Dkd7AQfXLBjkeNBrcDEFYM9qAzAffxYiWEZ+xnEjFDNre/O24B3f99Mmi2S1uDp69yzbvIL2/Dj/biREtY/H05RA9g/qEweYZMSYczrGsFSJa42nYngpmArsTsAA9CVgK6fddcvOJZ1SfEFArIo3zSXcHeAPe24Nb/V8FhUJU37NpO7KJQztXYmfbCEcrmXrW1VROXlRwXEIIIcbHqAO8e++9l0OHDqGUorq6mve///3MnDmTeDwefGophBCnmOqSiRzpaiTnOeyaEWXX9Gj+Hk3Y93llSW9iD0sbKAzO82Zy9dVXc3Drzym5aAJHPJ/E5hSmD54ByQUlVJeH8bXPmjVrxjzAKxRaFQzE9Agr0hUJ7opdW3Xn9B9nwSX80e2IM8IoBYmaq0nvX0uyfiXpSBletoOjD+56H7ARKcXPFV8q6tupYM+gMjBjFYN66da1azXZg+t7+kVZeNkk/s5VnDv7ChpaJrP0jXYWhyN4vo+jg1D3rHiYFscrmIBFM3ipraJ7SafG1SpYX9xvPbLGtOP5vw4X3AW3Nbq3FmL+vd/3PfZteTi4r08RdECCPCGEOI5GHeCtXBkUM501axa//e1vKS0dJqOZEEKc5G5acC13vvpA8Et0T6IIjaHBHjAr4inN9fOv4JOLbwTgzbWVHChrYEuFybIyKz/zZ/Jahck5Z0RQjQadnZ2MpWJxVaF2PUQUtrZhAw9tfoKmVAt/OorrKxj18r2jdTQfG6p89szkjlVBg2EFpQ38Yym/ng+dDIuS2ZfTtW2YkgDaB+0TKj+z4N1BcPf6gHNc0AqNiTqwDs64ngswMT0fSymUCkbhat2zLNMd8H1wfE04n8Clp66er1nfmQEUIQXKt9BG32yZCi+cLvI9VYP37E3ahlt+mN5SEd378fwgsU0+A6lSFr7vcmjnSgnwhBDiOBr1jui9e/eilOLP/uzPJLgTQpwWlk9fwmcv/AQxL4ypDRJelLinixRC17xxZGvPLT9jsOPtTq5Y08mEDpewo5nQ4XLFmk52HkwTMUOUlR17vb2jVWwp/dp8kpnWdBsLukaSnfL4O5Y1Id0LSpRhopRCGSYYI084049hoswwZslEEme9h8iEWSMeXfbwRrLNOwa3H9pQ+ATfAcPAzwUfCpSaQTbM7mCtO2lKaX7P3cA3cU0wW9fhejha0+F61HWkOZBz0EDGcACFcsMoN4Jyw+Ab5CZtKzgcq2MKsQOLMZxo7569A4uDgun9LhyMTvs+jp3EyXXi2Em072Nn20b0XAkhhBgbo57B616GOWfOnDEfjBBCnCjLpy9hXfNLWJZFU7iDt0r2FDxOo2hKtfTc3jhxAZc8W0fYDX651gSr38IuLHs9yZ5LQ6xYseK4PIaBPMAL/f/svXmcHOV95/9+nqrqa2Z6Tt0agY6RBEiAxCUBkm0Mjg22d+2YtR0bsLOb3cRJ7CR2Tv/ijXO8cqyTOI6dxOs4MTZxiI3jtQGDAXMjBAgJIUD3fY2kGc1M90xfVfU8vz+qu6fv6RmNhIDn/WKYmeqnqp6qbk0/n/4eH6fmY/e8+hNAY0ub6wdO0yi2VZn2l7PAViDPxzJsIWntu5HRXQ+Ve9npoCPnpFv5WyEE0LP2U8Fh/Bxjx7Yg7AjaS0+8v/IZ3fMIQNGaIThQ/VRRoRVpu7V6e8Xv25JZrm6PFisUC2JvcyLN0WzthjSznVDF0UTQbbQO4ZPLQUuEsijEBLX0g5q99uNlYy3p4PsZikYdWqP8DKFIZ93jGwwGg2H6mXQEr7e3F4DTp09P+2QMBoPh9aS9vR2lFAciJ+oueoUIavYKjIQ6aEupqkRIDbSlFDfddNO01t8d+f63mx4rAcurLWhOjQ1iiSCi1Z7zJhUt8xxBJnIetsQXFkLaRLqXIMPxMhGlyZucS4vab3017oB0QCu09hl49h84veUu0ie3kzrwDLqujYIo/y6Cc6UOb2z6MrRW7Oy8rN6situPZF32pnLYQhCVAlsI9qayHM26Nc3OBXB5awxt5dB2Fi3zrw1tETm+IviR4EOMwpeVbUH5FlkfMr4m64PyLaxsS/mEPB+dLUSCdclX/SiywWAwGM4Ok36HvvHGG9Fac//995+N+RgMBsPrwnNHtrCpYw9Pd73GqJXJr01Ll9cChCBiR/jQJeN2L90Ru/Bo1RfA7tM1zKPPgMP33Nv0WAHocO3HZrR04+cbsIyEok2/GyRjEtvTRDLnqBMl0HSyplbISJAOG1uwJr/JRysdWC3kjyWcCFihovjK7xxsK0W5oLx8wxQbP5MkdfDZ/GOqaKBeMYmy78JyanbTxIpQF79ElDdQePPDDn2xEAXPdCmgLxbm0tYIV7fHiEqJpyEqJVe3B2bnMWnh+ZJcziHrSjJKkdM+0o2VNVSxR2bTsvvtoCwk4/V/GvAVuH7FxKRE1cmAdbPTW4NqMBgMhsZMWuB94hOfYM6cOdx3333cc889Z2NOBoPBcE4p1KON+SmioWDhrQXIvKgLvsASFp+65vaihx7Af1mxGFUnmqUikq//4Cif/uvH2PDysWmZq8pMrqOknastxAKRKvCUx1Pt1zTXXDIs2X9BiJA3+fTMM4nhCDs08aD8WbSXIzOwh0jPElqX3IgMt4L2sMKttCxcjxXtQPs58HPVaZJa1xB+gO+ivRT4WbSXDe6/FUJadhDlK3srLX92tJdDK7coPAu09d1I/bdgxdJTz0F+RGZgD6e33FWMImYG9iCB6ztjOFKUxQwdKbioNZI/CmXfV7ZFGPMVyrdQWhRuGVoJxrRLqbgr1N25KrBECAmBJcYbt2xJVBjES9FAhyuGTmyr96DBYDAYppkpGZ3/3d/9HZ/61Kf4wz/8Q773ve9x3XXXMX/+fKLRiU1OjdG5wWA43yitR0NCjCipfH1VRziej3QJ/udVv1Am7gBWz+7kGV27V6WtNVoKBobTfO2erQBce+ncaZlzsy4FGtj+8nEuunRO2fZSo/fO4VRzJ3UEiw7larbin4gzaZiiveabwGg/V1bzVlr35mcTgGZ09yO1d1Yuwg4jnCjKywbRu+ozFE6E8hWoXO3HS3/33apumpGeJbD85hrdOINnNuIHr7/MwJ7i9SBtVHa0dk1fxRFCJcKv0EmzxZJsHE6xpiNGSIiik6GnNZtSCVYRiLvY4StAW4BGC/CUxpaCkBD4BD58+9Iuy0vOEJjL13+WD7zyH4CxSzAYDIZzwaQF3lVXXVX8WWvNtm3b2LatuU/mhBBG4BkMhvOOU2ODhOR4M5KwHQI0aS9LTrnMaOnmQ5fcXCXuADb3D6GztaWWzmqu696Lqx2OZnq4++GdNQXe5v4h7t3dz2A6R3c0xPv6ZrN6dp3GFO1x9EiiLA0U6os9H3jy4d1VAg/Gjd4f//EfAPVFY/E8oz4tnJlYmzJWKIi4NWiSIuwwQlpo5ZM6vLFKAEknhrRDQR1eneNoLwe2aHgeIEjfnMSdyA7som3RuuLvBXPziiso+2l+2CF1YGPgZaj84PqFBGnVvL7aRxoXfBmVj+XVUuiuU4zcBeIu2DNU6JeS38XTuujDV3oGXcf8vIDysxzZea8ReAaDwXAOmLTAqyyWNsXTBoPhjc6Mlm5Op4awxfifREtaLOiYx//5uc833Pfe3f3ckP+51gL30rE9vNq6iIWx4+xLVv+93Nw/xHe2HUITpNcNZXJ8Z9shTh46wMkd2xgZGaG9vZ21a9fS19fH8Y6ZzB5pvqZpuM1mv7cHWF93TDTkU5AzE0mWcyruhBxPo/Rz1amT5YMRha6ZQuKnhji95S5UJoGMxIn1riHSs4Rw1xKs6HP4YwPF/QLGa+dkuBXfq0hBrEnJ8ymdvOirMzI3Wvy5LCpX53gy3MbV7VES6eESsSmC++Er/PRw8VipwxurrrMWESlZHY+igIwqORdwaWu02DGzFgXxX+jWeWlbZXHnxK+MXGZ4wjEGg8FgOHMmLfD+/M///GzMw2AwGF43CkbnnvKwhFVMySxtplKPyCtbyVkQruMz0H5gEFYsQqK4sG2g6vF7d/ejATtvqG4LgXO6n22vbSdmW9i2TTKZ5OGHHwZgxpH9TYssLWDz8jgn5+5uOC4U6WCS5gHnhqoauUaFguOCRefr61R2tDytUSsiM5YS611Dcsf9lHZ6BEBYWLFOulZ9nFNP/x3146LFHcbHNBB3lRQid9qvv4+M9VRcV2mlXTDvqaRvxixZJu4gEG2t0g46Y+r6XoFu/gNdlT+O8+rN5cbnBcPz0g9+G6RtAgyd2MbxvQ+TywwRinQyZ/FNJspnMBgMZ8ikBd4HPvCBszEPg8FgeN0orUc7NTbYMCWzlIFnN3L1E/djNTCR08lx6eRQWa8Fg+kcjixfBMdP7kNpjWUFi23LsvB9n2effZaOjna6B083VX93skOi4724kca2NqptKbCpiSO+nlRG2qpRuRRYdpDOaNmBuTmglALfJbnzAVJHnifWuwa7cyHe0L7yA2i/WCsnQq3oXLLxlCwniCw2gQy3jc8zkwg8+nT9F443cjBojlK83Irr1uNCsXCdiPrpqWVzobynjkQz5is6rPpiLKc1vh7ff8xXtDvjxudpXsJvP14u7mBc9AHSLq/THzqxjX0vfxd08G8kPXqcfS9/l0WX/oIReQaDwXAGTKnJisFgMLzZKNSjTYbDd3+fkBSNxVZ+wRs046xeQHdHQwxlAi+zAnYuA7I8VU5KSSKRoE3KpjtSzhpSXPHqEJklMxqOGzu+Baty1X8eUF4q1mRLmUJUzHdRyg/SOkvq6VR2lOSuB+tGAzPHXiQ3uJtwz1Iy/Vsb1+I1Ke4AWhaOp8jKSDyILjZC+YGPYawzSMfUarwGT0isaMe4UCylliVDCVmlCEtZjAN6WqMQbM2O8Danu2q8l3/9OiKoxwtsEjSOEAg/TNCIpbbxeZG8yLPt8rTOg6/eUxR342M9Dr56jxF4BoPBcAZMi8Dbvn07u3btYnh4GCkl7e3tLFq0iEsuuaTmgsZgMBjeDGRPnsQOhZgwOU8ELSh8O8zm/qGyBirv65vNv249SMp1i4KmKxShpaI7o1KKeDxO98Bg0/MTQM/RQ3zoktuL22o1dHEODqLOM3E3JWSovKtlQRQVEegJGrUAqGyCzIlt2O0LqqN8U8RNHC9G1Zz2C8gc29x4B2khBcR614ynYeZrErXyAvsF3wU/l29voosNWKxIe93DWkLgKY0lBZIgJXj7aIZtLQd4G9UCD139wYQtRUmgTiC0jZVpmbC7ai4zxGsb/qaYhul7tbu31ttuMBgMhuaYssDTWnPnnXfyzW9+k4GB6roSgI6ODj7xiU/wP//n/zRCz2AwvOkIz5xJdnBwwu6T7zz2HK/O7OPVBe/gO9sOAZSJvHR2H2PZF/HVKJZs5WjPEpadcvF9HyklSimEEKxdu5YTP/jRpOYoGE9BrdfQ5ec3Ddfd9/VkcucXTdTBlUT4JsLP4Q3tp7q3aLMGFeVkjr1I9sQ2sMJoPzvhMSKzL0cwXktXaKSCFQ6ik9lkyTEK1g1BA5ZKS4ZSlA4CtV6+Dk8CcyI2rYmZ0FE93sqnDxfq9sJ5+wW78j1dFP7X+Lpy2REOvfaDhmMMBoPBcGZM2ugcIJ1O84u/+Iv85V/+JQMDA2ita34NDQ3x5S9/mdtvv51UynwiZzAY3lz0fuTWYg+JWmJEA/iQ2qdYcWon83VQO3fv7v7imLtefppU6jEcd5AWL4PjDjKkN3NoTjttbW34vk9bWxs33XQTfX19kxZdpcvt0oYuQghsKcn5CpWsLXpqOLqdt4i8tUXwi6S+PJzMVeigzm7K+1cg7aCb5gSpnZG5V9C2aB1WiYhSbhbtu0FdoPYbziM7sKvuY2EpiOa/HCGCBiuWxUJqR/0KdhyFfWTJ9kmRD/n5XgalXI7vfXiyRzAYDAZDk0wpgvd7v/d7PPvsswC0t7dzyy23cNlll9HT04Pv+wwODvLSSy/xwAMPkEgk2LRpE3/0R3/EX/3VX03r5A0Gg+H1pGftGgB2/sX/qbvc1oBQkD4AV857gn1dFzGYHl/gnz79BNduPs3K3RksBb6EbX0RNq3eyu23f6nm8SZD6UK8VkMXT2tGWiw6hr3XPWJXzXhESNhhtO/VaUwiQVjF8UI6+ShZA6Q9sdfdNKPdiT7oFAjLKfrlCQIbhOSuByc1V51LkhnY07DRCgR2fwJB0ve5tDWW37nJc1D+2lJ2E2b0Ouj+qfwc2VTtzB+DwWAwnDmTFnjPPvssP/3pTxFCsH79ev7P//k/xOPxqnEf+MAH+OxnP8vnPvc5nnzySe69914++tGPsmrV5JoYGAwGw/lMz9o17GhinHKhIzuMrzXd0VBx+xWbj3P5znHPNUvB5TszaI7DR6ZhgnPHz1WroYvSsH+Ozerh5gTERHVW00twNmGHENIOTMjLyMeXZGBMLkKtgbAThbhToe2jXVGP14SReYFmUzqnBY2MlL+fpg5vDLqCApNJD03ueoDR3daE3niWgG3JDGs6YiitkYimnmMBZHwd1PHJpqdVHKjRVPfzLDCl5CKDwWAw5Jn0X9Ef/CDInV+4cCF///d/X1PcFYjH43z1q19l0aJFAHz/+9+f4jQNBoPhPCbS+E9pYe2bCHUgCBqrFLh8V21D7Xrbm6WwQJeXdBS3va9vNgLwlEJrjacUElh2qPlukOc+yqfRvovyatWt6cAOQVj0rP0UPVf/d9r63oUMt46naVoOwgohrFAg9KwQyPpeb+MUntNzm5haWT8XdMScwhyUX+aNlxnYU3fosWyWlK/wVFCb1+xzbAlIK8XzI2mOjgZ7WSNziO1+B22v3kJs9zuwRubU3Fcrhe1Eaz5Wb7vBYDAYmmPSEbzNmzcjhOCOO+4gFApNOD4UCvGJT3yCL3zhC7z00ktTmaPBYDCc14hlbeitI40HSXh+7sX8XLvilYfu5ZmRkaDjcJ21u6ixfXP/UON51NjmP3aKgSs20rN2Datnd6KHdzJy+DGiKklatJGZtYaWsfO8hWZVN0woRrN8F22FObXh7/OixiIy+3K6Vn2czMCeYnMSGYnnO0/mmpJLwnbQngc0MDms7No5DRS6axbSNGUkjj82yFREXmlKaHLH/bD8lpqRPNvx2ZvOcklLFEs2F8ED+MGJBIJACg958LaR2USPXh6cW5R65BF45JVEjoWUqDq1iPW2GwwGg6E5Jh3BGxwMWnQvX7686X2WLVsGwPHjdTxyDAaD4Y3M4fSEQ3wFB9UA+zY9SzKZxLZtkslk3YV0re2FJin10CVfRTzN4buD7IkXd2wke+g+wnoUhUW7TDMv8cSk5nBuKXSwqfVWVdJB0s+MpzEqn8yxF0nue4pIzxK6Vn2cnrWfomvVx9FeJrBJaEJAaC9LQ3EHTXTtnAqazLHNxYhbrHdNScTxTKKJmuTOB6sieTmlEFoyw7F5fiR4HU/medcEdynpQuT4imCj0KAlwncQfojY4Suwi5E8kf+/yKdpEtTmFb5gfLvBYDAYpsSkBZ5tB0G/TKb59KHCWMtqJi3GYDAY3mCMTlzPJYF3/2gnLcePYVkWQggsy2rYnGXg2Y1l2wbTuaYX36VCL91/nM39QwwceABUFkdnCesMvpfBy9eYiRpfrz9BLEk6UYozskIlgq90luUzz/S/VHU0YUcmZU7eECvC2Uvf1EHtHYFNQtvSd+fPV4KwEE6s2ui84WG94nELOFLy9t4Ms2cNcMLLkFXNX9OlrWHe3dPKz8+K866eVqQbAzQoiVAOxedHW0SOXo49PBuEQFohwrEetFKUGOrlx2q08hg6sa356zIYDAZDGZMWeL29vQBs2LCh6X0KY+fOnTvZ0xkMBsN5j2hrbpEdyeRYsH031qEDuL5LvP9Ew/GFyFuB0uYskyFrB3YMcTGGIwq22BqBQk9ziuH0Eyz4gyiWQAiJsCOBWCurpauIXarq6JuuFBNngqBOZHF6Dh7U3gW4ieNQ2RVU+6B9pB2e1JFLjxucCTrT83jhUBszwoKwbF7aX9waocO2sIWgxcrfC2UhVOW/h7yH3sllWHYEKR3mLL4JO+eDqpEerDX7Xv6uEXkGg8EwRSb97nTttdeiteauu+5i//79E44/cOAAd911F0IIrrvuuilN0mAwGM5nxFVdzQ/WmgUHjjDmppmxe2/DoaNHDpf9XtqcZTL0z4jQn3iutlffuW2LOSmKSZheNuh6aYeDZinKA+k0Tt2s0UhlYpuCEiaKjHmZsyfwLLvYTTO57ykyx16kVrRQ+y5qkl0+K7t0QvD0r2lvY328c0ovBQE4+fo6oQt2FRVogczFUH6OrrlX0jlrJdbwGMg691B7HHz1ninMxmAwGAyTfnf62Mc+RigUIpVKcdttt/Hwww/X/VT04Ycf5rbbbmNsbAzbtvn4xz9+xhM2GAyG843tC69oeqzlKyKZHGgIpxrX7qmKxiIzn7p30nMTQiIWzUepJFrXSsXU5P+r+nq9qZIJXgaVTRKetQLphBGi4H9XTWT25U0csAHN2CicDYEnJPgefnqYgee/WWy6UpMm6wlLifWuqbm9kTV8s2gNroKk5+OXvYAEQjkoy0Urj5MHn2DrY39Etqul4fF8bxKC3GAwGAxFJt1Fc968eXz2s5/lz//8zxkcHOTTn/40XV1drFy5kq6uLoQQDA4O8sorrzA4OIjWGiEEn/vc55g3b97ZuAaDwWB4XXlRrGIp9zc1VmrNaDSE1E14mlXUQ+398U+wJ94LAD8scPwwSMVVN7yfpw/cT0qP0F5DlDQ0aW/iXOcWTebYFpAWQtZPWc0c25KvwxNY0Y5A2Ex044Ss0a2zAdPa7TEvuXXe+kE66Nwo0ym1RahtQvPzMzo+kFI+20dzrI4HVgdWSefM4JMDDULguWOB03qtD4jF+feqMxgMhjcSkxZ4AHfccQcAX/rSl3Bdl8HBQZ544omyMYWonm3bfO5znyvuYzAYDG82ZsYiEw8qYd9yzaZ5+7ka3TCNQlYsdMXoeEOUiZb9VlajyaCBxSuuZPWJjZBLVO030VL6fIjkVRPEGLWfC2rRaqKKHtp+ZoTkrgcbjC2leTPx6USEWpFOGJUdReTTS5vrJimCdNQmIo5Wy4wznOXEtFo2F7UI9qdyzI3YtNkWoNHCQ6q8IM+LvEpxV/wt/8GwwWAwGKbGlAQeBCLvxhtv5Fvf+hbPPPMM+/fvL0vVXLRoEddddx233357sTGLwWAwvBl5X99sJpNMtiqkeBxNKippH1M1l/HB8laze/du+vr6AJCq/PGJlv+Fx1+5+994Wb3Gsq4YOQ2OCFLyFJCb4CCF87w+sqceIq/xmhFsQLN1apOJ3k0nwgI/i/KzTXfFjMy9AnfkICo7Glg/NIE3tI/kvqeKHnvTja8hpzVRKVkYDfFiIs2aGfkUWi3wnZKU5HrirvhwIPIKjVaO732YXGaIUKSTOYtvonPWyrNyDQaDwfBmYMoCD4J0zc9//vMA+L7PyMgISina29txHGdaJmgwGAznO6tnd/IMzQsgZ1+OzpktoAeA+lE0oeDZZ58tCrzCuGbPUxBlp+69n9PvjZPwFa1Sks4fwEITkoKBGMQbKNTzTuRZNlakHT811LzIa4bJpmhOF9oHK1aM4NWrKywle2IbWGG0707qHmT6XzprAi+nNRZgS4EErm6PBeJaBq+a7MwdNfer+5rSmgPb7gYhENJCSIdcdoRDr/0AwIg8g8FgqMMZCbxSLMuiq2sSneQMBoPhTYTvCKTbnPzJ9sNlewVtqcZiQgOJRNDWfnP/0JTElQBEOkeXlvx0NMPMIxkueXmM+JiParNxru6gLTvhYYrislKMvh6CTwgLp/0C/LHBaTpgXthJK3Ckfx0QQhDrXcPonkdQha6hDdC+O7UawBr2EdNFRIqy14clQCkHrBSZua/gtfeXv36q0jRLHw0SVJVyCczsS4dZHN/7sBF4BoPBUIdpE3gGg8HwlqZJcQeBKFr5yn4m6rMigHg8zsCzGzn5ze/Q1nh4XZKtFvO9ToaPHWPNswkcH4QGPeSSfeQUll/7uAKg1Qp+yCrINVcVdrZpXXJjYNjdZO3ZRFixLpz2C3BHDuKPDUzDDCeP9jK4ieNoL9PsHlM7UQ37iOmilvj3lEKj8dr7i9tEyQBrZA7hk8uxcjH8UIrszB35sYV/HDWuU/ukRxt7SBoMBsNbmboC7+abbwaCTxXvv//+qu1TofJYBoPhzcPeVzbxwqM/JjE0QLyzh6tueD+LV1z5ek/rnDHZhvlC66Y6VM598FF23v9TIt7kIi+i5IdXlvVw2B/kfS+OEirRQ0KD8CrGVxC6fUHxscw/TOx9Ol00ujeRniWM7n4IYYXQQtaIZOXFQTMpl1bQIKeQ8vi6ICQamfe7O7vUtI84iygEthsr/l4W4RuZTfRoMB+tNVamjdihq1FOisycV4qisN6RDQaDwVCbugJv3759AFWdrPbt24cQoq73XS0K401XLIPhzcneVzbx2A/vzHd4D5EcHuKxH94J8JYQeZv7h/AlWGdhzRlOjQaLX5ro8l9r46VxRMeFJKP7aJ0gJbQW7n8cRSddRJtDsq2NtmRy0seYVkKBUbeMxFHZUaTlgOUEht/5ZipWSzex+VcR6ryA3NAhkrsfahDpU/lGJUDudbo2rcBvNnJ3BgiJE59TfxrUF9aZgT2kDm9EZRLISJxY75oJLRcEwQcfY56qedzwyeX5EwuEHq/bl26M6KErSC94Eb+jvsgbOrHNpGkaDAZDDeoKvLlz505qu8FgeOvywqM/zou74E+KZdv4nscLj/64KYH3Ro/+3bu7nysvaaV92+ik963fQTP/c/7DtCl9POYIvO4WIn6IuCWmdAx9OjBl16dztOocislHK6cVbwygol7NpyBPInNXB01EtAoieIWvmgSRPiGtwHLhTYyww4AgdXhjTWGmaCzuRvc8EvwibVR2tPj7hL56AvamctQaZeViaOEjVHVTNoFF5MhljDUQeKbZisFgMNSmrsB79NFHJ7XdYDC8dUkMDWDZ5abT0rJIDE1cz/RmiP4NpnPMWjeTzBQEXi1KIymTEVQFsVhcqPsa/4Uhut7VyRp/irVXevy7YIpCczrJNwmJ9CzBTRwnc2wzxTtm2WT6t5Ib3I32MshwK9r3aGjl7rso5b9+FgnnCCFttNaoTKLm441eY2P7n0R7WQppr8JyaCQWC2hg80iaeRELe2Q2fvvxssf9UArpRqj3qpKqJGW2NGsonw3kuSkO7/ixEXgGg8FQgWmyYjAYzph4Zw/J4aFiBA9A+T7xzp4J9z3T6N/5QHc0xL7Rucxl37Qfe0pRt8IPCuxkhnnRVlr2pMm0Wtij1bV8rgBbT/1855qBZ/8BGYmjvRzCDheNwZXvgnJR2STCieJnx8BvokXom1zcFdEKrDADz38TnQs+jJDhNloWrq8r1DIDe1DZgigUoFUg9qxQXbFYIOUrDmZyDHsWl+y6lN7IFcUXmAqP4racIHR6YX5uNQ5Q9AWpeLBglI7GzQ6bVE2DwWCoYNKZNl/96lf56le/yuBg8+2pDx8+zO///u/zmc98ZrKnMxgMbwCuuuH9CAG+56G1xvc8hAi2T0RiaABplUeXmo3+nS+8r282D+u3Tesxq6JxU0QCW48ewloQI3p9F8IRZdFBzbi4Kz1vLc6l+Ks7D2EV0wRVNlFu8l2ss9MIRFH4TRorxBtD6jaPVj5aeWg3hc4lKXSoVNkEyd0PkRnYU3O/1OGNVCQNB998FxmJT3heBSR8j6NphdIStAXaQuRaCJ1eiCiY1tecNNXirvjY+PbDO37M0IltvLbhb3jp0T/ktQ1/UzRINxgMhrcik47gffWrX0UIwY033kh3d3dT+4yMjPDDH/6QeHziNwODwfDGoxBpm0od3ZlE/84XVs/uBPZPuxH4dB3rVGgE3RXG6gmh+jOobaPg6ynV0p1LH7yqph/CQjqR4s8awM+hKuvn8jV3TT0f0g4iW3mhKMPxwKog1JoXQvU4b2zfm0KGW9FeDpUtXFMxPAa+W782L5MA6YDKUX69mljvmrrn00CLJXlPTxvbkhkuag3jKQjlNbdQVtnYWnI61aRnn5sd5tBrP0CjjRm6wWAwcI5SNLdv3w5ALvfmLmI3GN7KLF5x5ZRSKq+64f089sM78T0PaVko3286+nc+UrJsPm841nYaRAh/3yhqxxjYAjVFgXeurqtm/KwkIqfyHTNr72w1pb+C9M7gbVArHxlupWvVx4sdI/0GAk/YYWS4FeB1885rHkHXqo8z8Ow/UH1TghtVmm5Z2jFTa79+FK3hGQPabYs1HTEkAreOqbmrFCFZ/mr0tOal0RTNyjONRuafSyFslPKMGbrBYHjLUlfg7dy5kz/7sz+ru+P/9//9f8RisbqPF0ilUuzYsQMhBPPmzZvaLA0Gw5uWM4n+nU9Izi9RV8CXkLM90CH8F0aCSVqiKXF3fl2PAD+HFiIQZY0MzpWH1g56ggiQ1ioQL/noXax3TXnHyLoqURTHu4njbwCBpxl49h8CsVayrYy8B2Blx0x8BcX9Su6H5UzYZKWwh5NvimKVWSWNn18LyCmFIyUC8DU8l0gybDWIoFbYLmmlcL3RYvdUKUPkMkMN52YwGAxvVuoKvGXLlhEKhXj66aer/Ou01rz66qtNn6TgmXfrrbdOcZoGg+HNzFSjf+cTtoRs2CacbSA8zjEaSEUkYc8mlbNxkm4gaCZIpqgn7Op5/XlSYquz3KjEcgKB5+XAsSoao1QKMY32c1iRDvxUgyYrvov2XZAWkdmXE+lZwuktdwVHlBZaiDrRK0145iVEuheROrRxGi7u7DORDYT2s2QG9uQ7ZpZ68lWIskIXTWFN2GSlMQotgtasFgLXl2gV3OvnR1IczSoWXjBe618e+6uO76pSH0GtUH6GUKTzDOZnMBgMb1wapmh+4Qtf4Bd/8RdRJW/cx44dQwhBT08PjlPtXVOKlJJQKMSMGTN417vexcc+9rHpmbXBYDCcZ+QUZC0ITzz0nCGAcFZx5R6boT6HmSEJ+S6aU6kgE3V2kGe7IYmQSMtBaUC5QfROWkXLhFpph0LaxBZcQ3LXgyXjahzaiYFWZE++ihOfk685y781VnXXHE/AdUcOovWakg6Tb2CERAjJ6L4natQdjt9bGWoZ36r8ppqs1D8npHs3I4DcvtXEJIz5im3JDEezLho43D+Ti5ftr3p2db6JzkR4XhMdVA0Gg+FNSEOBt2DBAh555JGybcuXLwfgG9/4RvFng8FgMEDE9es2jDhTplLbl7MBYbFs9ymc1SHIlAudyR5T1hN4TTbDmCqB7xoIKZHRbrpWfYzMwN68eKuOmIq8J2Pq8HNEZl9O5tiLdQ4s0coLjqEVyV0PIJ2WINolrKBZS5nIG78B/tgAAxu/zuRl8nmIVoFf4ASCSCu/7J40arIy8TkFXns//Se62XxqlHlhh9XxKNd3BiIy5Ss2J5z6d7dolVAf5aWmPj+DwWB4AzPpJitXXXUVAC0tLROMNBgMhrcWiRaLnuGzm6LZbBdLDYRtie9rrEwG+8V+qDG16ZInZ0vYAkHHzLyIjPWuAa3ztV/vrog6CZBWkHapFb6XJda7Bi+9CG+ohkehkFCauqh8lJsKtitA2KAbpDYqjym4DZ2faI/Gz6BEhltRmQQyEifWu2bC+rva58l/F5KB7ZexrT/GvLDDmvYYjhTF11GLJVnTEcMdmYNXYZBeOMyby8jCYDAYpo9JC7zvfOc7Zb+PjY3VFHtbtmyhp6eH3t7eqc/OYDAY3iBcPqONjStbufnp4bqRrnOJAJACS2u8iA0vV6cSTuc0ky028bHpE7fCjqCVh3RiaC9TJiqUm0ZYDpGeJURmLOH05rtQ2dGgaUpZrZkmueN+InNXE5313vLOkEKWpG7mE1aFDBq4SAfphIOxEySz6vyINwX5OsdaiFALXas+Pn3n0jAj3ctse4zLW6M4MriLpffSFgJ5cllNgfemuecGg8FwFpiyTcLWrVv58pe/zNatW9m8eXPV41/60pfYvHkza9as4fOf/zxLlkzhkz6DwWB4g/CrV/Xx0QOz2TyQ4crtmYl3mCYa9nn0gyYW9tXt8LOTUGfsmaKAJ1e38N6nRqbtmDLcWj9KVEibzK/yY71rgs6PNa0TNJljm3HitxDrXRPYH6SGglq+kjGQTwUVEvwsXdf8dwBOPf33JV0kqxHnIkXTcsD3aOrZE1bD+TakgfWEdscYePYfkJE4IhTHG9pfnI+wo7QueeekInoaCEvB1W2tRXFXiRBgZVtp2f12rFwLfmiM7MydNQVfbYwMNBgMb02mJPB+9KMf8fnPfx7fD95Ejh49WmWBcPjwYbTWbNy4kVtvvZV//Md/ZM2aM8jXNxgMhimy95VN58SGYU77GjasOg3AFdsz52x5WfM8AkSrjXVlO9biVjJ5gXcmx60nL15esZx9vUNAcwKvmfS69ovfjxUub+JR6s8mQjHshVfT3n1xUVgkd9xf5wo0yd2PgJ9tcBWFoSrfPESMH+KcR2RFWRMZK9KOnx7O/z7R/KdaDykJpHq94yq0nwssISpsIbSXJrnjPlj+3qZFnqc1ikDk1UQAaNASKxM8H1YmTvTwajJsDkTeBHV40o42NReDwWB4szHp4oGDBw/yh3/4h3ieh5SSG2+8sWY3zT/+4z/mwx/+MJZlkU6n+Y3f+A1Onz49LZM2GAyGZtn7yiYe++GdJIeHsOwQyeEhHvvhnex9ZdO0n+vjl14PGjasinP/unij5fLZwxEQkdg/N4PQf5uHtbjtrJ/S908AE/uiAriyubjK6L4ngmYn+WhdwZ9NZUdB2ig3TWr3Ywzte5zTW+5idPdDUGaWXdFCxs8wkbTUXhatvIrmIa9DFMhyENJG2GHalt9C16qPI50YU+h7OomxqsxIfiokdz3Y1Lic1ijdjNAvjCiMEghtEz62omRI/XsiXp9/gQaDwfC6M2mB9+1vf5tcLkc0GuWf//mf+fu//3tmzpxZNe7tb387X/ziF/nOd75DOBxmZGSEb3/729My6TcKW7du5aKLLmLTpulfSBoMhuZ44dEfozVYto0QAsu20TrYPt2snj3uu7WvN0ImNH3Hbri0DwlEdyj4Hnew396NtbC1GN3wco0tbWoxGWlw2c4hpOxuaqzd5Jo7O7iX9PGtQV0dkDoc+M0JEYgQIS1sX+MefQm/aG3QbMyxAaL8bdGKvg5ear6LDLfSuuRGIj1LSO57apJ2DFPpuQp2+wWTGl+F8hh84V8YePYfOL3lLjIDe6qGaILMYQ0gVIMumdStbpRetMkre5M0wDEYDIZJMum/fhs2bEAIwR133MHatWsnHL9q1Spuu+02tNY89thjU5rkG5FDhw7xa7/2a2UeggaD4eyy95VN3P2VL/B/v/gp7v7KF9j7yiYSQwNIqzwyIS2LxNBAnaNMnc39Q9glEYXoBIbik6GR4NLK4ambfoPDN12NuKIT/4URst88SO4/juDuGePAsY7pm0gNbAVKHeV458RvKc0Kx3D3YqKzVqB9F98dC/zphKQoWjSg/CC+Iy2EEEg7zPjbWj76YxXEbaMzF9IxAz+4gpgEiC24pskZnykl85MWXas+XhR3dW0eJnvcCdC5Eg/AKaKyieA5y4wwuueRKpEngIgUWAIsqfBK/r2UijZXa4SuN/fSqF59fP/c1cIaDAbD+cSkBd7x40FxczPirkCh9u7QoUOTPd0bkscee4xbb72VkycnX/NiMBimRr1UzHAkhvLL65KU7xPv7JnW82/uH+I72w5x2agopo2dq+S+oXgHe9odUvtG8H52CjWYg5xCDebwfnaK1L6RszqX4Gp9XlzROm3HtNvmoqWFtMO4I8fR2ke7KZSXKfG+C0ScKIm6CScCwsJq6UFYDlakHRmOl9Rq1Yr9lDdZUZnxaFmkp68qqnf2KJ9jZmAPmWPVTcwmRdNplyKor6syd58KGnwXrf0ysTx+JnCEQKP5SWQbGVX+70XnH697dKuOX5/W418wTddiMBgMbzwm/VGdbdtks1ksq/lc/dbW6XvTP9/57Gc/y3333ceSJUu4/vrrue+++17vKRkMbwlKUzEh+O57gRAQAnzPQ1oWyvcRAq664f3Tev57d/cHciO2jrUjj/BsR3hajw91umVKeOnKdQBcsG8/wldlY4WvuGD//uDnOseoOuYk51UYv2bb9BlLp4+8gBVpBwg6ZBbOkm/2ESzeBQiBctNVi3k/PURk9uW0LVrXIApWYo+Qr3vTys83WSneQSJzVp1hFK0ZSp4Z5XPq6b/Li9KpdHgJ9rE7F+EnjwW/1TCEr3n+aRFF+Xn7XplYrsTzbFrHZmFFqvduhBYVjWRq1eE1YYReyuiOjQw/9X28kZPY7TPpWHcrrctNYziDwfDGZNIfSxa6ZW7ZsqXpfbZt2wZQs1bvzcbevXv5zd/8TX74wx9y4YUXvt7TMRjeMtRLxcxmUrzjA3fQ1tGJ7+Vo6+jkHR+4Y9q7aA6mc1hCsLtzOW7rjVztnFnDikrqLfOVhkMLlwMQztaObIRKtjeX3DY14mMTd3BsWj7ooO6uEAGSdhis0Hg0TWvszoWBIKklSpRP5tiLJPc9hTtyMEg9LOwrJEgbEWoNjqk12suicim0VsQWlC7sNW2L1gWm52cFUSdCqKcutqRFZO4VdF7yflqX3IgV7Wh+LtOCLn4PxHJtYpbkitDkI+lSNVnc2qABSymjOzYy8MA/4SUHwQ7hJQcZeOCfGN1RHX00GAyGNwKTfse69tpr2blzJ3feeScf/OAH6e5uXFifSCT413/9V4QQXH311VOe6BuF733ve4RC09hZwWAwlFHP8iDe2ZNPzxz/s1ZIxVy84sqzYotQSnc0xFAmKLp7tTUMWcVVAqyz3GJflBy/frzn3PT6T7RY9AzXjxRtuijC5TszyEbd+As/yJJUyXxdmLQcsBy0UqC9oGbMcgL7gCoxFFxzpv+lfGOWShsAiXZT1VGeGqIqM7AH9PSZuFecMLg+XzP156jw/Ap6rv9MmUxzuhfT1bOEzMCeoMtlQ6uF6X+NOA0atwig3bYmLSv9UBApbsZuoxmGn/p+EMi18n87LBvteww/9X0TxTMYDG9IJh3Bu/XWW5FSMjg4yMc+9jFeeOGFumNfeuklbr/9do4dO4YQgo997GNnNNk3AkbcGQxnj0aWB1fd8P5iKqbWGt/zzkoqZj3e1ze7GB3L5jajNByeO/nulVNlwf4ddZfn6Wi1H1jDpi1TnMPGlY2tEjasap9wRV6MMOb96GQkXiW6lJdGhloCPzzpIJ1afmf5q1A+WGFQ45YLaBX8jkZIGxmKIUMtyFAMIW1Sh8ojN2P7n2w86cprKEQbm6UpE/NGDUeCfWU4sMQoPZKnIac0kZ4ltC19N1ZLN4W7LOzw2a0vFFYQPW00ZAqH9VpOFH+eDknqjZysrlWUVrDdYDAY3oBMOoK3aNEiPv3pT/PlL3+ZgwcPcvvttzN79mwuvvhiOjo6ABgeHmbHjh0cO3asuN8v/uIvsnz58mmbuMFgeOtRr87uhUd/zEc+/cfFMWfb0LwWBYuEf37pAEqN4uEQH9P4wPQma5ZTWOBevukpfCmxKjr3amD/kiWseOXlqtVwo7ienuDxUlR+lb6vNwLUr7mKRm4g2f4zOk83s3DWeT86zeien6GVD0KilYcAYr1rSB15AZUbAzHBHS6rPyu5Kq2qBU5FkxVgkhYFoLVCSCeoFWxuj+bGSIvI7Mtx4nNI7n4IfJfSbqEtC9cD46IpoxQZpWmxJDmliPQsIdKzhIFn/wGkjVbeWWxEIkD7+GODZAb2NG2A3gzO4IVk524v/l43ktdkDZ7dPjNIz7RKlkTKx25/85eVGAyGNydTKir45V/+ZVzX5etf/zqe53H8+HH6+/vLxuhCFzkh+F//63/xm7/5m2c+W4PB8JYmMTSAZZdHRkotD85FKmYjVs/uxJaHkLIVVJLWMZ9MRNCSOXvpkYWIV+voCJ4l8CyB42mkDhISlQUH5sKK3RIyk1vMNzvr4M99CMjhydped54lCTkLeenKdbzjoR9MeEwZ6SDceWE+bU6QOrwRlUlghVrBcrBbugldcBXpPY8H4g8LqFEDKCy0lwlq6HRJpEzYoPOpnaUCMR85PCO0aqKpyeQR0iF78lWc+Bza+t5VvCcyEifWu6YoojTgac0LI2laR/Yz/+RzkBsFgiifsCMoN9VgjtOR0ju+f9Akh2kTeRKHyLGLyMx9rf6gSTRY6Vh3KwMP/BPa94JInvJBBNsNBoPhjciUq8Z//dd/nZtvvpn//M//5LHHHuPQoUN43vibxYIFC1i7di0f+9jHWLp06bRM1mAwvLVpVGd3vtAdDTGSXo3OPkqixaIl5aMEyLNYAqeB0dZ2oqOnsPLiDoIc/IwFR+ODaK+ebfQ0IKEQQ3lpWYQrt2fK5IEAtq8IarAPLVzW1CGtcCsQNFApRJ6AICqmfNInXiHSeykAuUObUDqB9msIPJ3fVqyhy4sX7YEdAUQxOliIZpU3WZkkVggB9Kz9FKee/vLUj1OJkAhpoVVgPVDwyavE1ZoxX7EtmQnE3ZFHKa09VNlEIGh1o4Y40/li1WgvQ3LnT4Cbp03khQb7CA0txA+NkZ25E6/9eNnjYhJdNAt1dqaLpsFgeLNwRm3BFi9ezG//9m/z27/92wAMDQ3h+z7xeNzUohkMhmnnqhvez2M/vHNaLA/qNWs5U97XN5tvbE6zVkbYuDLGO59P4kkITdxgckoUlrAvXbmOdY/8oBg9K8RgYjlYvW2QsXCEVpWeRBvL5rEUBG8nWTasCqJfl+/MYCvwJLy0LM6ra24AIOfub+qYLQvWoJWPkDalgkNIG6V8Qp0XMnLyFbpmrqa1ZzloOL3lLlR2FK0V1E2PLD2WQ+vit5E6VBIJWxBEwnR+rEAgw/Em0jQFwg4BAhmeXmsgTb7BTDDphtYDPzgxUvz5nSefo+YT3lDcnSW0IrnzAeA90ybytPCQbpTo0ctJQ5nIm2wDltbla4ygMxgMbxqmte9zZ2fndB7OYDAYyigIsDMVZoVmLUE933izltJzTJXVszv5pdVwamsX9/UG3f7WbEvROexNWy1e6cJV50vIDi1cXtaxszQGs3pXhp3L+7j4td3TNINygsW0XzznhlXxotALaKE9/1M215zFjjc2SCgUy9fIlbYKDSJtVqSdDrsvOLcOOl0qNxukY06EkEGKpp8tiw6WX5PmR/PDfOBIjpZF60luv5/Gka3AagFh52sHCbpjNpGqKewoWnt1u4FKK5QXukwuhTSflnneoH1G9z1xxgIvh4cSmnDBJ1ALwieXVUXxdJM2CQaDwfBm44wFnu/7bNu2jcOHD5NIJLj55pvp7OxkeHiYdDrNnDlzpmOeBoPBAExPnV2jZi3TEcVbPbuTP9uyAjjCvt5IvvkILDqcCcTeiIfU09PiXcyPFI8jdW0JItXZbfSSDgWCqDYO4BZ/U6o50TG6/0k6Zvz3fKvnkjuVb4yi3DRWpB1NIO4KdV7IUL5DZrCfsENo3y0KJxlqyR/Gbxhp8/DZ02YDLpGePpKF2qwSY3TteVTV/WkPN3G82LUyuaORMBRE5q7Gic8J5m9ZZami4ZmXkD35anBYPe6LVxSQFYz5Z6thSh4r1CAy2hw6l5zkDiU/518GnlA8Ht/GzSNXELzyfCw/TvzVW+qmbFZijM0NBsObmSkLvHQ6zT/+4z/y7//+74yOjr9hX3HFFXR2dvL888/zmc98hhtvvJHf//3fZ+7cudMyYYPBYDhT6jVrGTrVz91f+cK0pG0e0L0IJLokRa5U7BUoiL5G/nGVFNa8AhAJj9/Y+iVGwu0oqttjFKTRkoNnu+W7rHF2CMRdy/go2Vz6onZTeIP7sXsWUyrwtFbBWYRAiyB2WDBDF9JCSAvl5rtDCoGQdiCO/BwgyoVSnVo7F5/TTpp1J8LFbVa0E5VNIkra6WtqG8tn+l+ibdG6IFK1/BZShzfijw3WuDcaLz0UGKlDzaYpTnxO3WYq40cBT2k2J9Jl23NOCyF3OqJ4+efVz02LyKtHZmBP42vVgV3gk/oom1v35QWeQBCk8Wrh103ZLKVgbI6mzNgcMCLPYDC8KZiSAc6pU6f4b//tv/GNb3yDZDKJ1roqFeLo0aNorXnkkUf44Ac/yPbt2+sc7dzxqU99imXLlrFp06YJx7766qv81m/9Ftdffz0rVqxg3bp1fOYzn2Hz5s1Nn+/Xf/3X2blzJ1de+fp19TMYDNXEO3tQFQ053GwG5fs1PfamwuUz2rDtFQ3HCALR992bu6bU1kIDetTHFTZtuWRRB4mSLwjSOOVY7bqt6YgiRnMgyFI/UpUp1t61hFaSbTKcOLrv8UKLzjISex5B2hFcJAKCmrRSu4OSdEatNEJIkHbgE6c8ZLiV1r4bS2rtynGw2BuTXDk0Ls5jC67JH9JHa43yaos7IB/pC4j0LKFr1cdB1n679Yb2FW0EulZ9nJ61nyproBLpWULrZb9A99pPBdYQhzcy8Ow/cHrLXWQG9qCBEc9n40iKo1m37Njbu6+qP8cpIoTMewYGX0g76Dw5kVXFBBSM2P2xQbSfwx8bJLnrweI1FrAEXJKbx9yDF1XPzQ/lvxwix1bUfW2XGpsLIYJOrTq/3WAwGN4ETDqCp7Xm05/+NLt3B7Uc1157LevXr+cv/uIvysYtX76cRYsWsW/fPoaHh/nVX/1V7rvvPmKxxka4Z4t/+7d/42c/+1lTYx944AE+97nPlXUFPXnyJA8++CAPPfQQn/3sZ/kf/+N/nK2pGgyGs0ytZi2+52I7zrSlbf7qVX0AbDgEnvcKGoUNrA4Fx38h5xUbQZyJHbqI2yAEPhYiKtFpVRXCy7VGCVVEd6C2HFMySOmc1ByCPRuM8MnmttDlzCTnXEg2IgmPTXwSnRslfeI1wl0Lx89lOWQH96K8DKFCU5NIHJUdLYoMaTmoQj2bdpGR9iAaNKNW7ZfOt1IpZ/VoK3bJDYr0BM9noSFLw3q8StNsKBN9lRQikPWiV46UHDu+g9D+R4ppogUBdCTzTl6w5yJqzGeg9YImOmZOhuAuFT0J/VxQY2g5Qcqqm5rwCDJcXT+YGdhTI5VVg/Jq1uz1RkLcpi+pObfCz9KLET52MQfv3IKXyGDHI3St7aVtaU9gYF4RwTfG5gaD4c3EpAXeAw88wJYtWxBC8Md//MfcemvgE1Mp8NauXctPfvITvvSlL/HP//zPHD9+nP/4j//gk5/85PTMfBJ8//vf50/+5E+aGvvyyy/zO7/zO3iex5VXXslv/dZvsXDhQg4cOMCXv/xlnnvuOb70pS+xZMkS3v72t5/diRsMhrNCrWYtwwM57FB5+mSpx95U+NWr+hjIeBxJXsOF4jDr5fNECdLb5touGzIuI0rRLuWUI2liQQTQuIMuOlUtmrSGkbYZzEwcKt9e74BTLOOygEZJppYa5uM8iG/lSKWbP0n62EsIOxIIq2wCGcp/SKh1sVVirHcNo3seKTND13lR08x9LUY687/pkt/r7q9qJcQGRGZfXj2+WMNXjZ8aKjMu98cGSO64n6S0sKIdxHrXEDr8TEXDlkAAtR/bAAs+VP/aop3o1NRfw8VzQbFesCBE82EwUH5Q59gEoe6+st/H6ydrvyJ1nUYxzoQWCJrQ4BJyBNeeO52l/97TnNSPI/M1mSIULY5WuQxC+xz40m2mJs9gMLzhmbTAu/feewH4uZ/7uaK4a8TnPvc5du3axZNPPskjjzxyTgVeLpfjL/7iL/i3f/u3pvf5u7/7O3K5HH19ffzLv/wL4XBQg9HV1cU3v/lNPvGJT7Bp0yb+6q/+ivXr1yPrpN0YDIbzm8pmLXd/5QtT8tibyG5hMB0IugO6lwN+L6C5kMO8LfQCC22fkMoBmur4WnPow1lYFsI97EJIQK58oSyA7uTpILfNnzgRdCp/0YQj6JKSU0rVFY4axa5cjoURkKK2MKrCCuGnh0oaqNj42aBJh5s4jhUJenMWIjwF4SGsUBBdAhA2KjsaHENUm20XYnels8nJQOf6jL9JZgZ2M7p7fB4FMRbcsRLBakWKNXWlRGZfTubYi9XXKCyK9W1lBAKuOPdid1BRPmaCTpnh3mvI7Ly/4ZgJkRaR2ZcXr6twD09t+GqJv2ATCEnm2GYy/VuLwrUQvazPmXTCFGgVCtJ3PY1AosRNKHkF7tAGkgf24Wc0VlgQimtySYGfcbEih0js/3sW3G5q8gwGwxuTSb+Xv/LKKwghuOWWW5re5+d//ucB2LNnz2RPN2Uefvhh3vve9xbF3SWXVKZzVLN3716efvppAH7lV36lKO4KOI5T9Pzbu3fvpOrxDAbD+c1VN7wfIcD3PLTW+J43ocdewW6hUd1ed7Q8FaxvaCc3bP8p7XuOEsmkAjNmd+qLWD2cA61RWVUl7grI5CismLi5yVR7MCpXszbkNPzEUAMPZlPsTgdt7SdCWEH6ZfH3fPqlkMH9DIRB/noFZTVs0o4gCm9vgmJjlNShajGh8/0/A8kpyErwZfDmeDoc/F66r9Yqb8VQuNcK7BjCjiDsCG19N9a8nrZF65CxmRVbg26c49YI1fdFSKtWGWJTXNoaoW1G3wSjGiwDhEXb8vcy49pfrylaG6Wd1kQrCsK1EKX0U0No1eCVJya7TNFoy2W8ILVwTwUaAVqgVQyr7Uas2CIQ4KU1qX7wMhok+FnFyK4MR7/3rUme22AwGM4PJh3BGx4eBpiU/UFh7NjY2GRPNyUSiQS/9mu/BkAsFuNzn/scS5Ys4fbbb2+431NPPQWAZVmsX7++5pjLLruM7u5uBgcH+dnPfmYaqBgMbxKm4rE3kd3C117YzZFkEJvrG9rBjUcfpt1NkDoNqaPg55JYIQj12ohWC0b9SccrNBBWOUYjNozVjqYIDQPXdDJTgHopWfcchaV0ecrixAhgmRVHxBL8OJWtKRQLxuHPuVkWiIqoV63xfg6kEyzQSxb5Ir9g9zMJlFJIa/yxQhdGPzUACKQdLhF6tQ3CBZKcgJAGT4AvArsJgGd6bG4+7qIJGrloTYkFQwkqh8xHpOp5vGUG9qBzibw3Xt5uAU145iVkjm2m4d0WsiRddFyOAnhObeE+L+xwUWsh5bhBxFTKfLpprccmapzSYM6Wk49yTrC/9hvXCDZSt/mHFCBFsEFbQbfUcUTVLkoF96Oldw3u8N7xUygQlgABWmmGd5xpaqvBYDC8Pkxa4LW2tjI8PEwiUbsjWy2OHw9aFcfjTZqzTgOWZfHe976X3/iN32Du3Lk899xzE+5T6PTZ29tLW1tbzTFCCJYvX84zzzzDq6++Oq1zNhgMry+T9dirZ7eQGBrgay/s5qVTQTph39AO3nP4ASJ+mvRpSB6guE73c5De58FFrbB9tHEhWw0UMBTp5NHr1nHDQz+oOUYDMw+mca6dgbi2h/Q/7J/cSZrAsz2WCQcnFXSXrOwxqQCpHEakm7c3aAKtkKEWlJtCaxV0xcx3zhTSHk+R15Dc91RFCmTeeNwGIey6BuEacC3ADwSurWHEETzTY7M7bjMy4DEzq5GReN7qAMolsMCKdgSdMhtQSEWU9nhmiFY+7shBCLVCLkm1YBLF+yBCbeBnS1JDBVgOoQvX1dRZK9si47JO2qDqiK2CgC41WBcS6UTRyid1eGMDY/IGwtGf5Au5AYUuo/UQwEDWoydsI7SFkjkEofEHK8fbETyVwQ63F7cNdndx9IJespEw4WyW+YcP0316aNquwWAwGM4lk07RXLRoEQDPPPNM0/v853/+JwCLFy+e7OmmRDQa5aGHHuKv/uqvJuW/d/ToUQDmz5/fcFwhInnkyJGpT9JgMLzhqWW3UKjbK4g7gHUnnsJWLhLN2FEKXtnjwSkN4kAa+Y4eZHdFd78J0BFJe3aEkeUrG0bc9KaRmp0WK5lqsxeVXyyHhajpDicApQXtwma4tcmW+tpHeflOjUUBEnwPzVhenG1mYE/t+jZAe9mg+Qq1DcIFEPXyNXcCvrI8yp2LI+yOB59/PjPDRhX3rejyCGA5NSODlVRZOUAxqtiy8G15a4eKu285aOUjBMQWvo3wkpuQsW6wQshYN+ElNxGf2VfzeW2xZNEXsbw5SwUlJvDjl6bK5lcPGa79QWhgMB+eQnplDSx7wjo9QXC9ACgL6UVpFF0UAqQVQkuLris/RfyqOxhddjWpWBTfskhFo+xZsoSR3rmM7tjIkW98lgNfuo0j3/gsozsmqhk0GAyG159J//V95zvfidaa7373u+zfP/GnwN/85jd54oknEEKcs66TjuNMKNJqMTQUfFpXL3pXoPD4ZKKYBoPhzUezdXud6dM4Ooig+JUZZAS/65SPlVaEPjyPXJP6RwjoniMZyYsrz7LyiX/lXwA6GSzyvX3TYXxdzctcigZydVLqgpiTYEl6NhtXRmqOqYmfDdL9xHiqJdLBSx7LH1hPLACsEK1LbqwRBQqeCAlENGSs6kf3xG2e75JEepYg7ELXxfw1SifwhasRGaxERuK1hVQ4TrhnCW1L343V0o2wQohQGzIcRwAy3Eps8Y24nQsJdy8hdvnHaL3mV4hd/jHC3UsY81VQW1bBmK9qVfSVfFXfhyrqRD0LtCxcHxifV12sPR4VrPV4s0gHtMAfGyzz/qtF1CpNMK51jeVYSJQA7buIcCuXWkuYLbryhxAoy2L3vDkMPPBPeMnBMkN0I/IMBsP5zqRTNH/hF36Bb33rW5w6dYrbbruNz372s1x77bXFx4UQ5HI5Nm3axJ133smTTz4JQEdHBx/5yEemb+ZngWw2+Nw5Emm8+Cg0XymMNxgMb04m6pBZr24PYOnmfyeUSZCLxDnpW8y1A987K1Qt8rQGIjbekm5CeDhN9K4QAN020S6Hn8wKGmCMzJ9P98GDVWO1BaLVRgP+CyNTuhcTzeU1dy4XiRay1BeQtwxdzQNdrzDaG8UnQbPW2EI6+aYrAUqpYmSpaHTeaH87VCLu6i/8S+976aiD6QMs3/kKujLNUbloIWpGBiuptHIoiL3CvpGeJXXTED2teXE4zdXt0WLPzoKc2Zas/T60LZlhXWcLEETaVLbg3VcrrbJalDeKehaI9CzBTRyvjp4qN+ijIy1Evn5wSpTc78D8fIDkjvtw515Ru+lLQ1+Lanyh8EOhoBEPsIz59DOelpmTDgVDdAAsG+17DD/1fdNd02AwnNdMWuBFIhG++tWvcscddzAwMMAf/MEfAOOF75/85CdJJBL4+bQlrTW2bfM3f/M3tLS0TOPUpx/Lyndpm9Bfx2AwvNkpdMgMmqiMd8gsUE/4FfaLej6utHGyo2z3Qsiwz2zHo2UeJA7k1/cCcjKE79hsuO49vDP2CiBo1kWAIY9k6N0c6L6IqNZYw/34UC2cFMjL4mhPoYdzdSunzuQvX3c0xGC6A82Jmo8LwG9ZxJjcCNhsuSjCldszE67JZbgtaLgiSq5KqzLD7KA+rn5DjGZSKDUQrdNr5PJNT5E9fRKJzEeV/OITKKxww/qwApVWDgUzc6d7ScOn2lWaMaU4knVhBFa2hWmxJGO+YlsyG2yvwdGS7S0L15f57BXq96QdQbmp4FrKoosiiBzWaRpT+pxlB3bVnrjvEpl7BdmT01+rnjn2Ik58Tu37XnozG7ywdIXboUYTI1w5CKyKf03GEN1gMLwBmFKC/KWXXsr3vvc9li9fjta6+AVw+vRpvHy6ktaa3t5evv3tb7N27dppnfjZIBoN0m8ymUzDcc1G+gwGwxuX0g6ZQggs20ZrePr+uxtaIxT2i4XDWFKgpYUSgj1uBI0k2gVtF4IMC7QWJFs72LD+PRxauJwkLWhE0FFzAjSBzjjReymzWiK4StM6mq0ZFVOAvbgFYcli80pR42uqCDvK+/pmk8pWRw8LtAnBkmEPIdsAyYZVPWy6KILf6F1IOkEaIEFESWuN9j2EEETnrSoOmyiC1ijNsDSNtd6A1tGR4v2RljOegohG50brpg1WUmrl0LXq40HaJ5Bt4B8ItaJ0zT1bY74qnret713FFFCrpZu2vnfRsnA9QtpBWqhTYvWw/Jbi/GpR5sTXwIevbdE6Wpfc2PR8J8PE/nlUl0zmv5KuYjDrE8bBxg6idAhSFdWjTi5btIJQbhY/lUCNDaN916RpGgyG85pJR/AK9PX18f/+3/9jw4YNPP7442zfvp2hoSE8z6Ojo4O+vj6uv/56brrppjeMGXihti6ZTDYcV6i96+zsPOtzMhgMrw+VHTI9N4eby5BNjyKEIBSJIoRdtEZ4+v67eeHRHzNw/DBCCGQogq+Dv32udMDPkbXC+EisGYqWGYIHet/D7s7lQNBpsz11nD0zJQdWtbLuyYlTKYUlmDPi8b8/chEAT/xjsL0qiCFAOJLsPYfPzDe6DolLb+IicYR/yeZwgMqYkgDeGYoS9yAauoxU5lk0sGFVOxtWxfn0d+tERJRLpHsRcGNZ5MuKdRPpGfd3i/QsYSwcz6chVlKSQjmBzkg4tbePtrbTcfokwrJRvldllVAwYm8mkleLkBDFqGrlFGU+o+Sy1giLModJbdvISCaBCMe5vPcaCM+rG8U7mM5xcd4qoVEKaGVUcWrXUWHAXvShK/w+vTQTlS2bTglRSxC2rKDzZihYBvkodnKkuINUit79B1ALxwIrCd8vHkh7Lif/86/JXPM+et7Z2H7JYDAYXg+mLPAKXHvttWU1eG9kFi5cyPPPP1+0dahHf38/MDkvQIOhwOb+Ie7d3c9gOkd3NMT7+mazerb5sOB8I97Zk4/S2XhujlwmTXGBpzXZTJpwJEjfVMonOTxILptFSIlWCi+bRthhtLRRwiIXaSMZ8oKOl+F2npq1rkzcvefwAxwYVcSedrlmTJXVWdVDrmxDjpUv7mtVVwnAfXYATnl1x5Efp2IhZKqG11sdNLCzzSL+2k8Y8RVOft4u47ViElgaDtTTFU6WF7iOdGYjiw6PsGZbquHxE3ufIL7k7YAmdfi5YGGvFemTO4jMuhhLBm9jLQvX52vcvBKfOUFk7upAsBSUbq1rBjwJj86qofAEvHTlOt7x0A+CNMaKjpTCHjden4owEgKUhpzShGT1/CwBV7VH4PS+opBE2ujcKNm9P+PihTdwlEoD9YC5kTqKtYRGwq8WlSK0Xn1focPm6O6fNX3syaCnloAEgCUESmnC+Q+fLSRb9C5OiiFsNDGVZWnuMMoZAjsMbo2sHq1IPHcvkXlLTT2ewWA473hjhNbOEX19wSfCBw8eJJWqvejQWhf98i6++OJzNjfDm4PN/UN8Z9shhjI5HCkYyuT4zrZDbO43fkvnG6UdMt1chiCPS4zX6Gpws8HCz8tli2mcTihCYQlseTmE8rG0T5+TqSnuILBRcAddYjuztKQUngR/go/fFOCsncmwM77cVk64uMwufGnA6gihto2n0tWLp2jAv769zqO1EcDibc9AboS4DFrz20IQE4JWIQgDXVJC3vturdwGwOLDCd75/CgtqcYdZbIntpEZ2MPonp+hsqMgbPzsGKmDz5A9tQs//3xEepbQuuRGrGgHwnKwWnpoW35L7WYcJfgCBsKC++c67IkXbnr5HTq0cNkEN6GxnUDDXclbNNR4rDCLiJTFlEQhLYQQiIIJ+dHn6x67xTr7b/HjnTRLYpBWiJaF6wNzdy99dk7sZ0nue4rTW+5q3GGzxotdEERGI3lTc0RQe3+TfQnvkVexLrKKWa2zmdujyY5UWluI8S+tGH7q+2fj6gwGg+GMOOMIXinZbJbXXnuNEydOMGvWLC666KI3VJ3a2972Nv70T/8U13V56qmn+Lmf+7mqMS+99BKnT58GYN26xgsHg6GSe3f3owE7/8mxLQSeUty7u99E8c4zSjtkDhwfT8vUmmI0Tymdt0hQhCJBDa/tBBGdbDYNWiNsm0vEGDOlwsWmLZfkPYcfACiKvPbsCCNHfDSg8lEc1xY4Xp2uHwSfzo28kualXofr89ssz6/61E4CxCWcbi5NrnVJK9mHTjU1FoL1c2tyhCTzuTaS4qF0Fl9rLPLlfgKuizjFhbY9sIhseAvXbEuABmVJNH797EmtSB1+DgjEDVoHDVeUz9i+x8ksWEFnNmh40jAapcmLTFG1+c7FFe9TWiB1cG5VKpJUwVluPFqlfRdhiaasEupNq9AZs+60yackyoq3bCFR2URQt1lDyeSUxrGmt/6t8mj1msdEepZwestd03rucnRZ904/MzKpVFlbQKmRxGUsQfg+WvoIPwa8Hd0Fp594jY7FEK3886wBIasarmx/+ThPPryb4dMpOrpirL+pj4suNdk+BoPh3NKUwMtkMvzoRz9i586d3HbbbSxcuLBqzLe+9S2+/vWvMzw8XNwWj8e57bbb+JVf+ZVih8rzmQULFrBq1Sq2bNnCV77yFa6//vqyzp+u6/LXf/3XACxduvQN0TjGcH4xmA4id6VYQjCYbj4lznDuWLziShavuJK7v/KFYrpmgSB6p2nr6CQUDpMrsU2xnRA+MGrFuD42SltO4ee7QPpYWNpn3YmnigJvJNyOyp5E21BYQjcjxyJbTnDBLeOLR+kH6YOV1VAczDRWEWWIsp8mmocAaAtxVM/h0tAwAtiQcRlRinYpuS7isDTkQC4QviP9c1G924mPebiWwPJq+bWV46eHQflB50MhEdJBI9B+lu8ujPDfd5ykhdaJL61GkZtd5wItrXFlpRhUCCHzvhb5HSvsDqaChJrpmZRMV0bi+QhmeTfRjN2KsgWW51OalDMv7BA6Rx2h6wnrqUY1p4TvonEZ3fdE0ymnpR+G2NoipyQ5D4TQ2FIhw9eAeo3EQQh3L0Zba0C0gx5B+M9h2Uew28fTY7e/fJz779kWdA93JInhNPffE0SsjcgzGAznkgkF3qOPPsrnP//5onBbv359lcD7y7/8S771rW8VO2kWGBkZ4Wtf+xpbtmzha1/72hsimvf7v//7fPjDH2bPnj3cdttt/M7v/A7Lli3j4MGD/O3f/i0vvPACQgh+8zd/09gpGCZNdzTEUCaHXfLa8bWmO3oGZsCGs85VN7yfx354J77nIa3A2yscjfGOD9zB4hVXFq0RCo8r38eRksXLVrLzpZ+RVjYRCR22ZsSXpHwBpFkx+I/koh1s7F7GmvApwjlNpvBXuZk/L6MeH7qot2xTTQtrDYQEOjv5ZheF4zXaM3plK8vDp9A5WBpyWBaqrv0S+SPt4ChStpJosWlJ+YTdJuakxhtcoBXazxZn1p5TOFYUTylsPfmURAXcsTdDu6sZcQTP9NjsiVtYGtyiX4XAtyS2T2At4Ht5jzYN0qpjoj7ORFYQQtR/3FUan9o+ehrY2XkZ0ivEAcdZ2RYJaguVxq4jHs82MhLPi3NvwrHThc4lyQzsaU7kiaC5ipV/3ThC4GuN1gLXtwhlgw8N7LbFeNa78JH5utIOLOsmhHyKjnXvKR7uyYd3o7XGsvO1fbbA9xRPPrzbCDyDwXBOafhu+Nhjj/HpT3+a4eHhou3B0FB5rdDGjRv513/9V7TWCCFYvHgxf/AHf8Cf/umfctNNN6G1ZsOGDfzt3/7tWb2Q6eKyyy7ji1/8IlJKXn31Ve644w7WrFnDhz/8YTZuDGogfu/3fo8bbrjhdZ6p4Y3I+/pmIwBPKbTWeCqIXryvb/brPTVDAxavuJJ3fOAO2jo68b0cbR2dRXFX7/GLrriek689T1pLJJBWcDQnGPM1iiA9zFIerWOniB7eypFlC7CFIOIphNZIXzcUVbWW7I2W8aoJIaVFsVSutKv8hFE8Z0EXMT2KFqHac1ASbbu4Ai4U82gPXcxzK+NYauLoXUCtUZpT3bO4dsBl1JG4lkVOKLRuKkxZduQ2T+OK4Pu7+136RnJIDUJrwuQQKF5bcTXCclBeblzcIYjMvvyMxB0EUfxa91pp2DiS5oWRNE53UGMow62gPGSolSOz13Gq9cKax2yxJEKAVRWFhMOZc5MxEOtdg5B2PrW0rDXLWT1vcsd9DL7wLxPbV2iQyOJ9r5xhMv9vJrLoejwhUSIYqYTGE5Isa8sarAyfTiErUmKlJRg+3biRkMFgMEw3dSN4uVyOP/mTP8HzPBzH4ZOf/CQf+MAHakbvIChQvuiii/i3f/u3op/chz70If7v//2//M3f/A133XUXH/nIR2qmd55vfPjDH2bFihX8y7/8C88//zxDQ0O0tLSwatUq7rjjDpOaaZgyhTo700XzjUchXbPZx//lrz9PxvOxrDBhP4MuEU6lPymCdMBR9zSvXXUNs3bso3V0hERrlJ2zMly+vbqDX+kScnP/EKtndzLwbGNfLtGE7vFbLDKZyKSa2mtAWzlCkZmQHcHP1RAP2kK6UULAQt3FjaF93Nf3LjKbv0/IaxDdsRzwPepJzK7sMHOTPvfOt7npiIvtZtFKkRk6SProJvz0MFasa7z1f1nLfpH/vybsi2IGqyfg2kGf/2iFVs/DdcDCZ/OaG7jqZIbs8a2MNxOxyZ58FSc+B6trMZbIm9QTeNtZQqB0cNzoBCmYlZZtQfMVzZGsy/ywg6rIkJnoOcopXWyyUmZMrhQzQw6u0lXp4tNNzfq8BYEgSm6/r8YeAoQkMudyMv0vBZFbaRGZczlOfE6dfWqjsonA3J3GNXlV6cyMy89tySwzurvoDLfhV+Q3azSocmP0jq4YieE0ll3S+MjXdHTFmp63wWAwTAd1Bd4DDzzAsWPHkFLyta99jfXr11eN2bVrV7GjJMDv/u7vFsVdgV/6pV/i3nvvZc+ePdx///382q/92jROv3muueYadu7c2fT4Sy65pFhvZzBMJ6tndxpB9xZgdHgQhIUvBFllI/R46/5KmecBnoJocjuPv+M9JHoW0ze0AxndQGrvcWIlmqlySV5o0HP47jPv5qfSPk40w1CLpGWsuUiYALB85iy+iUOv/QCEDbpEtPkWIAidWAY6uN6F8igx51qiroVnge1XizzPktjSQtrROv52YI8FdY8n4mkSux6lc+4VeGODjO17Au27aBR+JhE03xCVC/1x2SPQ+UYl4GhNZy74+YbjivQFz7NBr2YUh2ziMFghpDX+1qmVT+rwRqJdiwHNPf3jc50fdljZFp6wm2WlWCu8QgpG5SvbwmQG95DZ+7P8tG10dpT5/U8x2LO2bhSv9NiFqw1JiasaR4enk5r1eQJGQ23oXKXnrEY4MdoWravqfpoZbM5Mvgw/N7F9RUXEOioFvoadYxmOZl2GL17GXHJECAWiLi+0C8boB750G3b7TDrW3cr6m/q4/55t+J5CWgLlB5lN62/qq3t6g8FgOBvUfdd58sknAbjppptqijuAxx9/vPjzvHnzuOaaa6rGCCF473vfi9aap59++gynazAYDG8McuE20Arhu/kGIaAnaFvi+ore3Y+y/MATLBx8iMS+MRxVnWJXeoRCg57syZN1j6wAv4msuJAPEs3Tq1tx7eajO8f2hOmctZIFF/88IyKOjwQtQVlIt4XwkctwEnOL8/dGOomTJBsK1xR3AENtkpdXX4qYMcHiWMOVbCPkBX6AqSMv5Jux5OevAgOC1KF6EU6R75Q/nqgn0LzrWI5lSZ9F4ighXMJk8TMj4GdRubH8VwqtAxEpGRdkBY5kXR4YGOWeEwn8Ok+O0kGdXOFuF757WrMtGQjYFssid/i5wKmj1CZBw6LTLxU7aJameYakIJcXcqLkuJLg1jRbl3dWhKCmooa9pLFPjdr2zMAeRnc/MqVT+anmLGgEQb1jWmk8rVkcCzMvFjS0KRigi8BPIWi0AxzI7QM7hJccZOCBf6I3dJBbPrSSeEcUz1XEO6Lc8qGVpv7OYDCcc+pG8F577TWEEA1rzTZs2AAEf5DriUAIomEAx44dm+o8DQaD4Q1Fbtn12NseRHrjRuSNltQWwd/SsJ8hdnQLTy0L8c6fJfBl0NJdVKy0fRk0cSg06AnPnIl74EDN87ixMOnFDu0lXniNGLogxmPAu55qrguitSloFd85ayX/TyscK/ALvHAoxxUnsrSkA+N2J2yjsx5dh9Zz5SWbEHpcmBQQQCIm+e7NXcABVr7awEIhFCy0L0j4xJfcGNhMZJNBp0kBQvto7aM9hfbdqt0D04NKcaVBeyxLQhBbhVFaWLB/e7FL6Tga/Bwib+pdEGTj16KLRx9yPXpC1W+5p12P7WM5rmqPEMnbpyhg91iOI9lgzmO+j84mENIu6ladb9Mf8caf09L7NOYrolLi5Q3US9M0z1V3zVoUY9heJvDPU17QiVTIwMDdq05JLngANtfXtfKEzUWiNeNNZoNGKnBxZysbFPQzBOxjGfOJESZFlp3iCDm1BzU2nJ+aYPDhb3HRr/+TEXQGg+F1p+5nugWvtwULFtR83PM8tm7dWvy9UV1ae3s7QFWDFoPBYHiz8u516zm17MbxDSJo51Bvae0DWmuk1qSVZNi2aBtT+BJyTvVeCrCu7Cg26On9yK11l74tM3xmrZtBqolmrRrBtRGbgwsiTUX9AKKj4yKjOxrCzwu3A50hfrC8jYGIxLVA2EEXQjd+DM87QCg3SsbON3ch+J6xIeKWpE+mK9P4Suaavy+tA8uCa9cKGWoF3wU1nteq0WjtMzawCwAXn6fa9jIQFvhCUZrIqISHHx4DcshQFtC0Msaq55+r+9xpDc+PpIuCrBZdTu3PUwvbBYJsPoLkKs3iWIj54aAbacJXgc9eiVgRArT2ydi17SG2JQOh5FSIO09PTiBNtxQstX0QQiKdKDLUgnSiwe81/ARVJhEIwCnFE5vbRxB00SyeE4h7Ajcd3N9+hniCbTzAJp5gGyc4zWCkp+Q0Gj9xiif++Hf46h/8O3/x+/fz9b9+ku0vH5/CnA0Gg+HMqBvBS6WCrk+hUO0VwSuvvEI6nQaCT52vvLJ+84HR/Jt/LGYKjQ0Gw1uD1bM74Z038OTB5yGdwBYaJ99QJKsLtV/ly09fg/Q1IU/z378/gFRgu0G2YyW2An/UK9Zz9qxdg5QWIp+SWIp3SsG+0bJavlqIiATPZmn+z34zjVkAMi3txZ/f1zeb72w7hKcUi0dcrujP0ZFRgbF0zkfYgm3dL/FgOssHWyxaUj7pEgErfU0iNu71pqMtiNHaExe5YIIyFyN58ClyJ14FXXr94wbgORsGjj/Md1dtQyCIRK5jIC15z3GJJMd43AYyM3cSPXYlM99zGemjm7gys42W0ZG61+96mZrirlTO18uIlCKosYPqCNLKtjBHsi7zwg5uDZsEKQT7ui6vedyjWZfnR1Jc39lSfJ25WuNrsBrYMpwratk+FLZXUvQAnBIiSPHc90RZzZ8Mx2lZuL6sPs8WlFnYAPzX8CVFC6ik57NtNM1xL0Wo7SSx8HDZ2EPZBTyXuhqNQJJiZBDjg2cwGF4X6n4+29XVBQRedrV47rnngEDcLVmyhM7O+k0jjhwJ8tcbjTEYDIY3G6tnd/K+999Ka8gm5GfROuiqCGCjsUrlnR4Xe7NOZbFUsAiXgFUhtIrxplcrols1xB0AKYX3yKmGcxWA/fYehAyOvjQUwmq4xzjWwvFF+erZndy2cgErU5q3Hc7Q5iqsiIWwJNrzsRA8rUbQGrasbAmaUfpB8wrpaxCwcWVL8XhbL+6qeU4NeKEQoBnc9zi5/pcrxF1+lJBIO4yUIeJjHlK2EIlcR8hZyJ54iAfm2PhOGqEtfCdNYu4WBtqOEl/VS9vSHuZd/F+4QB7BCscZl0Wi7GffaWvyTtWmxbKqPOgVFJuzWEC4p8ImIdxK65IbGzZYOZp1GfF8skqTUbpYB/h6izsImq/Uup5aDVFivWvQU/XSkxbJXQ9WNXRR2QTJnQ9OaKUgBVgILAQtlsXV8VZmWS2kh+cxlu3k9G44tQ3Sp+HlzOV4QNqWjDpRxjSM5lx++pPtDc9hMBgM003dCN68efM4efIk27dv59prr616/NFHHy3+fP311zc8yWOPPQZAb29vw3EGg8HwZmFz/1DeDsNh9vIbmbf1P0kLSVRobK3wtAiiOlrj5+NMQkPv8QydyWAxW6gLKv0krizhrI6eq0kT62NrUSvpjEU04rMr51I7Qb+ahS2Ly35fPbuT7uEDeI6NKHSQtED7CrstzIjSWMDBBREAVm0bo23MJ9FisXFljH29YQpX+tTSTi7ZJLBVdYsaLweQwz/6WgMxKhDSJqR8kq0zaGv54PhDGvbEQ5zueAw/mCIAgwMzSZ8KPtzsnLWSFzIu112wgrEdT+dNu0tmISxiC66ZMBOwnh9e0C3TJyplmcgrbdpSiLpVdqT0NXCifmQRglTNq9tjRRuIQqLjZEVe6T5T2b8WNTts1hk3tj9Wt5tqQxoJQ+0xtv/J5kzRCaJ7Oa25rC3KkQGPVGIWT6+4hvBYhvlHDpOIt5GzBYggBB40vNEMD6X5vcdeIeX6xhrHYDCcE+pG8NatW4fWmh/+8IcoVf7Z4q5du8rq7971rnfVPcGuXbt48sknEUJw3XXXTcOUDQaD4fxmc/8Q39l2iKFMDkcKTnZcyPKuFt7R6bGqHRaFg7+pSgd/hG2CKNaFx9NFcVeglrgrxI9EhalyQQBVfpU+XovS7QdOtLAr5/LTdLbO6MZs7h/ii09tJzk4xqjn4Za+f0iBl8jQ4cWCzp5Idi5o57u3zOefbp3Pd2+ezb7eQvTOwrFXAqNYqroZC0DIzYEAme8WWVNjaR+VG0Mrn5aCEBtvmAkaRpXGQTCqNAcHZnB1/3V4ifFmH0+kc7ipY0RmX1bj+KrYHKUR20dr38/to1m2JbNIICIFUSmIyMCXr9C05Vid2r7C9urKzvE7UUjVTKsgTTatFNtHqxuZTET9M5wbtJcB2UQR6SRR2QSnNnyV01vumjCaJwhqGlstGXQj9R18JNlwiH2LFpMJpwGnYuLgRSxOp4O/BUOZHN/ZdojN/aYngcFgOHvUfVe65ZZbsG2bvXv38tu//dvFOrpjx47xe7/3e8B4eubll19e8xhDQ0P8zu/8Dp7nYVkW73znO6f/CgwGg+E8497d/WjAlhIhBLaUPDdvPa4CqXx6IpKlUUVICnwhCUvNwqEcnaPl4m64zWbHohZeXtbGjkUtjLSVJ11kLylvsFFv0V0p8iq/SskkOng0nSMziRV86uIgslIqbJMhidCQdv1xkac0djzCDcOrUcIiqy2C7EwfgSAaWUd72ydpb/sftLd9klj0GpRK1pxvWeOQkneyutMWgqhX8agOoqZPZT7Kv7sf5anMR+kYWw8E8yy7L8d2kz21o8aBFan9T6Im0HhbRzO8Npotpkn6Gl4bzbK1ILYqn4iS37uc2vHJ0u1CKIIYXYlyzXM06/LgQJIfnBjhwYEkL49myKipS7Rar5uag6YTK1zWOGd8e4QGS5nmUB7+2ADJ3Q9NnLIJWEIwP+wUL9G3bTxLcnLensDmQeX98lTggzdyYUvwrOT/FmiCvxEGg8Fwtqj7V3HBggV84hOfQGvNT37yE6677jpuuOEGbrzxxqK5uZSSL37xi1X77t+/nzvvvJMPfOAD7NixAyEEH/3oR02KpsFgeEswmM5hVTRrONh9MT+Z/x7GwnFs7RFrayN12XvwL383V8YVC2bIspXzUJvN4TkRXFsgtCYTkhyeE2GkzcaXIC9vQ11ycdk5mumJ0ijCB2BFLBJ6ckbYg06Q0VEqbF+cHQYEUmsyrof2g6LCrrW9XJJeQHv4KqRsARRStmDbfWRzWxhJfpvk2H+Sc/cD8O7h1Qi7XGwVbpMbElhyAwdm22WP1URI0oeeK7kLAUsTHu89muOXd6d579Ece1olO9sEXWvH36/6bAurzUG7YxUzyJ8tN8rNXS3MbtF44frPwtbRDN87McK/94/wvRMjRXG3si2M0pDJd9HMKI3S481XYpas+bzF8umv2i4IOklB3IlKX40KXhhJNXz8jJnmEF893zxph2hbfjNWS0/1TpPFzzG2/8kJh3las7IteE0OD87NT0SSi58mOQukAssNvo/OjpKZFSt7XVpCFP0rDQaD4WxQtwYP4LOf/Syjo6PcfffdZLPZMh8727b53//7f7N69eqyfbZu3cpHPvKRsm2XXXYZv/EbvzF9szYYDIbzmO5oiKFMrqwjn681B7ov4tjMS7BLUvo8pYjZFu8afBadO8DoUfAycGJGsLjXAlxb4lsgtODVvhYOXxzl9tYY7W552t+BeTaLjtauOWq03i6Nhr3UfqAs1bOZQExUBw0sBvNpaBBYJABc0Z+lLRfU3nWtDRqXHANwltHmXIxGkHMPkMk8ExiUY6HUGJnMMwCsGV3EcLEX5jgC8NFI9tGRyttG1JugkCAkfjaBhY+PhaU8liQ8bjqpETooUWx1Ne846fFEt+B9S8cFw/WxENZV7bgPnhr3yqu4M+GQ4ppwjP7OzfT7i5m9vfl0whbLqrIvKG2yUrjeykhssdmO1mhtlT2qtaC6gnOco1kXV+sya4BmqPWamK6avIbnbeCbV6jlG9j4dbSXPqPzTFTn5wOeLmmAkxtvsNN7bCHitIuSdlA0qaG1P43bESY9M0rOzWG5aXwNcZVhdMdGWpdXdw01GAyGM6WhwBNC8Ed/9Ee8//3v5+6772bPniB14aKLLuK2225j+fLlVft0dXUVWwoDvPvd7+bP//zPiUaj0zx1g8FgOD8ptQqwhMDXQZXUDRf08MyR01XbL7/2ncyf/SH8v/9lIl2n0MC2UYkSkC2ps9NAOKe5NmwjhUY55YvR+f1T7DRYPIFm2B7DASYTX0iLYJFbKWwPdIbY027TGQnxv9ddNH4aAW2ey6Ad1Ctlc1sCS3BRECkWWvtkc1uw9btrml8DRLIau62b+NhBLCcKboaaUtZyyAlFsrWFT37nL2mdB5Eu6I//JpZS2BokAoXGE3DFSLko6rQk1qJWXE6V1EGOn0eG24hoB1f7vD1xEf8491lmU98btpJR3yfWoMlKyle0WLIo6gqviFT+cVm32U791MVLW8OTFndQLuQKczkXXTkLVgnCGV9LaOUHXTgLv9d5nUyWwRf+pcpCoYBFYKdQeG4E0BPPMJCIED49H19pfDu4K0IAShPfnyQ9M0LGV9hYeJaDJx3+/LVhbh59juuuvGZa5m0wGAwFGgq8AqtXr66K1NVjxowZ3HLLLVx44YXcdNNNNUWgwWAwvJkpdMgLumjmyjrnLepsrbkdQGfHEKEYuBmiUpFRAqECkafzDVnCEcnSkBPYC1TUUYUm01WzBkJAuwqRkC5hIBMWRLMT59q1974DqC9sC2bsBaQUXHdc8OP5GoRAqVGq428SpZKoMtlTLi8Egva3/T65J3+TSEohQjGU74JfIk+tEIEfnmDrxd18zBsBFcT+OnMKS5fG5ASOho5ceZql0AKERnUuwBo6QlkyrLBoWbgeoQVhbHrctvz1NM8rySxXt0fLOl3CeJOVzYkMazqi2EIURZ6nNZvzjWCq45sTs6zlzD90VYxbedSkMuzYDKVFliVMxjfvTFHZBMkd95OUFla0g1jvmjKx5wiBk6/DO5J10ekulkYkszp6aLEko0rzcirDEddDCI2d9hBKoYXEkw6OcnG0R9Ju4XvHfaL9Q6arpsFgmFaaEniTIRKJ8Nd//dfTfViDwWB4Q7F6dmfNRVu97QB2+0y85CAi1M4yqXg5obG0JkpegEjBwgtjxUWw1pNf2E/EtS3wYA6kBs9qboV+RT7NrJGwLSXcFaPvZIKIFybjgJStKDVGuchTtEgHiUCEWvM+ZhVzCbVy+tnDgU3BjmfRykdIG4REKw/pxNBeBhFupWXxalbMHEUO9oO00K6bFwnViZ1CVwo8kLs6aO+ZwejIcSh2BhUgy/eXStA+1DuptMUjWRdGgpq7Fksy5iu2JbNF8/QjWZeNw/Ufnwr5DMIzir4Vrrxmp9YzDOtpIKsUEkFIiqLASh3eiMokkJF4lfAaf51MB3q8+cqO+3HnrqZt0brioyEpuLo9BiMpvBOLWNgRQ8sgfTMmBGtaomwcSXPYdyEiCassrnBwtIulFYLgOfC14t7d/UbgGQyGaWXaBZ7BYDAYpkbHulsZeOCf8LNpZuocK0KS3W6YlG8RjljMuzBK98xwIYSDSI+vove+sokdi1rIOZKwq5h1Klvmp9cUSrA0Clhhnsm4hN3JC8hGArZA19pejvz4VbQMVEY4tCqowdM+5ONYAnhXxAcErYvfRnLng3kj97wskRbOknV4iQxdXRfj90VJH3p+fPG/IFj8a8C3XCwtuKDjKexcN97ISZyOmYyN6Jp1e6rijlleiEjiEhJHfzJ+foLoI2hShzcWhYYGZh5bOml9cyTrNhRsjR4PYpmTe64K3npnSnXPzmkgf7BCFDi4vol981oXvY3kjvumcybFCWWOvUim/2WkE0V7GWQkTnj+NazsXBSM0ONx3UIU9rK2MEcGcpzqtLA8DZZGuD7aInBQz4c/TyZHeG3D3zBn8U10zlp5FuZvMBjeahiBZzAYDOcJrcvXkDm6i8Rz94JWzA7BnBafBBJ3aRzQkPLzOXGCdvtCIBB3j/3wzqDjptLkbMHhOREgU+Wr1wg7FMfzEiwNOSwNOWTCEtwg73M6F/BtS3sYI0Ob75CTIULOQiCoxVNqFClb6Q4tZWnoFYD8ov7dpA5tLBNwesYC7HiE7MgAbT1LifT05aXAOAKBS4ick8IPjTH/l8YzTPb93U/odKM4WMUaPBefIae8UYcQFpYdx88kSoyzRRAB9BV+eriYNjmqFE7WmuY7Nv3sHEtzcevEaZqNmqr4GjKqvD6wOKagfyeJ1kFDIjufBjkZIj1LGAvHp2aI3gzKReVFtp8ZIb33Z0QXQyj/QUKkJIXW1ZqWvF9e6mSWCyPHGJi1iFwojOV52FqBFChhERdpctkRDr32AwAj8gwGwxljBJ7BYDCcJ2zuH0Jte46IDKOlFXSyVBDzRkket1EL2gt5XYjDo0TkAQBeePTHwYK62FYxaGRyYkaYzqTXVIRFA8KW4DK+op/KCr1JjsV3sDpk8whXobEIOQuLQg/gIl7L/xTEQ2pFb7LapWttL0MvPYo+dBWFarTxWYtiVOWZGQ5LVXnq5TNdPu85pfC1wkdhEVhVPNPls75knLZy+F4iUB/5445/DzzPcvnHXh7L4kUsnNHmhbWWIOq4KxTq3KbzmdDA1tEsSM3FsVhT42uZFCg0B9M5+lrCZfWBvtbklC7aOEwWH41SGkfKsk60zdCycD2jex4J5q0UKDeYVUnd3rTgu2hcUrsewNPvpn3m0uJDAggJQSb/epuVg8xAhpOHB8h4DlbEovPCCLFZUQRwtbMbKW2U8ji+92Ej8AwGwxljBJ7BYDCcBxRMwv9nZghX2JSW13kdUeiNB/LF08EKcn4rQ4eGmA8khgaw7BBlPVY0ZB1Z+HFCFKD8DNbAYvwZe4ON2cktiDf3D/Htlw8y5o3v1xay+PiKBVVpmzNnncbBpUVfSlJEKcgGgcbC4whzgZcb5v9lhEvb0h68/cd5uUtx6WmbgjlAQRQlHXhsls3euMOJVJabSvY/0DmX+8Ux1g1adHgRhu0MT3X7HOqYW34i38ZrOVGyoXpCKaV4eSzLEdcjsbyd7m3DzdwyALyYjZXxkZVG7JyxhXddhFAMZjU6Vl88FqwyJIF3d9HdIz9NRwguao0UPL3RQFJ5vDw6xpDv8/Z4O+22NSlxKoCwlGgNrlKBOfgkRF5VrV5Ld7FWLzOwJ9+oxStJ9z1DtCK392EyUlZ9ABGWkvlhBwUstZfT2WEx5Ps8NJbmlV1jhMlx4+w9LHaGg2sXFrnM0JnPyWAwvOUxAs9gMBjOAwom4YlwBy3ZBJnTCvewi8oqRNzG0qPYC/Mt4XXwv8zcDgDinT0kh4fKxZCAsBsIreE2m/4ZYXKOJOQqZp/K0lGRuikB344TSXUWhaJos9GDExsmbO4PFqXf2LyfyrhVMufzzy8d4H9cPt6E5eXnD+CEcqAkWeEQJVPVfj9JSyAwtKwrEKIUDNAFh2MhFiYUbR5FkacEZKVAI1DaYr+eX7a/QHOgcy4HitqzHQCronlN+OBlOHSRim3BHzsNlYYG0U4eGBrDi1gklreTnhkFhhvdsjISC1vp3DHScIyyAuPsWppkKl00PctjZVs7ntJF78JauPlOrS6KGPnnQhTOK4pCupCi+vLoGIfdHKn5ezk2cBkdTaSBVlxM8E1ASEqyeZE3GerV6lWKP639vNA7Q3yX5M6fADeXN30BVsejWDKoJXS1pl1KPhRvxU6OcPTAIBd07mNUB56JUkA41nHm8zEYDG95ztaHgwaDwWCYBIPpHJYQbJr3NrKDPrm9WVRWBaVeKYX31BDevrHxsIoGPxz4yF11w/sRArQjg4fy6+FZp7IMtdkcnhMp1ue5+fq84bbqz/de8FeQm7Wr+Lt1VceE89YE4vTe3f1V4m5JwuOOvWl+5bUxvP/cQXLXAACZTccRuRhIjzbGUBVvRQpJK2P4EwQQR5ygRYo9Mpt3HsthqywZsoBGovGBNk/z7uMui0eyOOFV5XOv04W0cnsoHdg8OB0XUC7ugtnaXRdw9G2zOXHNDNIzo0RPTs5sOz0zytDy9saDhEA5EhWSqJLOMMoROI4L+Ih8jq6Qiq7uU/UPBQhf0mLJquesQCEtM60UG5NJHEtTKrXLah3z/UIcIbiirZXTC7ZzsucwcyMhPDVJ8VnRkjM0HZ1gSoj0LKFr1cfpWfsp2pa+Z/oOrBXJ3Q+RGdgzbkAPxKwgGikQ2HlJLLXmhlgrw5koSJDKQ2oPlMerW47yd3/xRXbv3j19czMYDG85jMAzGAyG84DuaAhfa/Z3X8zgyWjQOVACUqItGQi6zUGURwtBzgoxIuIALF5xJe/4wB2EwxZaCkKepvd4ho6kR/+MMBDU5wnG6/QK2wso4DV3Ln4oVdxmL2plItItrQymcwymyyN9SxIe7z6eo80LzMPDWZ+TD+8huWuAWMbHOdEHUnOF2BY07CAQp35eRlwptqFUZcuUcp6O58XoiWWAj48ijFN8PKQ1Kn+A6wcVlmwr2z/q1xYftbcr3OGDYDlBPRcE3y0HPXSIO/ZmWJII5FJ8/yiqyXdXnR8XRP0akDfNLnQvURL8iERoUGHJiku3c8ONT/LKVT9h2xUPMpRs/NxJbZNUHpLaiYqCwMz7x4mTbJz7AqedJCrfz7LWs6KFRgtosSRDncfp8FpotSS2FMXPJCaHRksXoUWVpK49evJEepYgw/Ep7FkHP0fq8Mbi3fFLPiiobP3TZVlEbJeMZyEk5LKKvTtGSRwbJTS4j5f/4k/Y9oMfTt/cDAbDWwqTomkwGAznAaUm4U4qQ8qJFZucWPiEZA496jPmtCDzVWY79MVc8o3P4o2cJNw+k6VJhdgd+IAVlpY5RyIqoyg62F5KOibpjobIjLQQlY3TBUsRPQ7d0SDF7EhyPHJ13amg26AqpNfl8/hOP3uYVMQinpjDDn8+L3IJWWwKhgUWPivYyYXyKL5uHL3JqH4A7FyMHB5IURFlAkuBL6DdFVBhQG6VfMZZmt1q1fjsUysHlUkgpIOwQuPbtcbPjBQjhQ8C6YyPtgRK6LpplQVG5483OUl3h4jWSIlNd4dIzY0R3z+KnfGDVNCFrUVRKPFZL59ipOR51rmJUyNfSWS4pr2+EPTsHLsvexyN5smxV7h16DpqVezpip9c6bNkbE5NIViLXL5rZiHdU9mZ/OFkUPvX4DAKyCpNpNGgBrQsXF9irVCR4zwF2einxmvobCHIKF00sC8gCcTz/OgQz+2bRezkKwgNGT2XFJfgE2OofQz1/54BYOXPf2DyF2YwGN7SmAiewWAwnAesnt3JbSsX0BkJMdbWUTRDBvCxcJWFagtj4zNGjBf1FfyX7T/CSw6CHcJLDqL2jVZFS0Kuql6Ti/z2EpQIRGZocDllOYB242Vu7Mgw7+ubzfv6Zpd9Ytju6rJFbcS2QAq8RIbIlXPY1WbzpL6KIdoodaPzsXiVPvb689ATCISfH1wLwJA9SkjbtPjhqjFhBY6CEUfgeofLHstagpCiGMWSQEgF2ysR2kJG2qs7MWqFiLQXI4XXnfLwIlZwQEuOp1XWeLfVQK49RPREmtlPn6gr7gYv7yY9M8qJa2aUpYIWUPn790x64nrJ4vUAR7M+z4+kqh5TQE4rwiKwe4ipMCsyFyIrlwy69EsgtGDU9+kcnMueyPGSWr3GXUBDQiApkVRKIPKhzWPZXMN9g9TQqXcZHY/iFbwNJcIO5w3sp3DUkl2UHo/iFe5c4furyTQzomPBhzh5cZfkSnyigI8vYuzpXsMr9z1n0jUNBsOkOSsRvLGxMTZv3kw2m+WSSy5hzpw5Z+M0BoPB8KaiYBI+YN/O3n/4pyAbz7LQvo+wwyz+pV+mZ+0agCByp0FY+T/jlk02EiE6NlZ2zNmnshyeEwnq8kr63c8+lS1rvuK4iqUDeyExj0zWJzPnFXQog+/X/yRQAPi62Dzll1ZT7KI54gjaPI0Goo6FIyXaV9jxCJdefSF3HzmFp0DVaKXv4fCsugL/2NN0FW2uqwnl38IOR44z07247nLc0fBMj0A65U1W4jlF0hFESwrRfAFtNQzefSGILriGsd0/QykfUWy7LwjNvxqZr5fsUJLEha107hwJVvj5+y5r5BkKoHP7MKjqx7UlOH1xe4mQq+VIFyDxeXAsy253cg1DBIGB+ojnE5WyPBVSKobt4AOD/zJ0NZeke8v2VXr8dVGYlac0m5NpZp++hJMXvErGDzzyJoOrFSEVLh43bje+JqU09hSjdwVKrRUKdgpC2oRnX0Z2YBc6l2z+YCVRVCkgKiU7xjIsa4kUHE7YOZbhaNalpeTfZEpfEpy+8CxohdaCYy0Xc9999/He976Xvr4+9r6yiRce/TGJoQHinT1cdcP7WbziyjO6foPB8OZjygJvx44d3HPPPaxfv57168cdgx5//HF+93d/l0QiMBqVUvLBD36QL3zhCziOU+9wBoPBYMhTEHGH7/4+2ZMnCc+cSe9Hbi1uH92xkdypg0E9lrSQoQjCDrFjcTurXi4XeEG3zExVF00gb4YOQms8R/LYD+9kRcd6upPzCCXmsXHJD1jYIHynAVES7SoIVIDkrgFOPrwnP0ig/UAAda0NhMKII/FLC8AqMuJSIsb8kYvQUiF0SUSxBkuzF5DDI1zjLU2j8REcbBfYujwd8doBl4fmhPAFSB1EMUV+eylKjpFwYkRn9eFIcA88B5kRZKSdWO816K7FQHCMMdcDbIaWt5elVMo6vniyTpcT4Wvi+0dJz4wSIoNz0qN1f7p4vExXiMjpHHbGJxfO0T+7B7rGrRxUKI1sIk0TYFsyw9XtsWIqoSToXvpY2zZsLavEHdQ2P9cCpAqaisw42gdtVbtNSEjK/DMWxPTiduPn3iq8/s7A8aDKWiESL1ortC1aR2ZgD8ndj4CfaeJoioGNXwftF4+zuGsxntbk8qJ4cSzMgOuzJ93CrGgCLxzHy7QBCoREKw1YKEviWSFCY2l+/OMfM6czyvD+rfh+IHpP9R/jJ9/9J+hYQPvsC1m7di19fX1TvxEGg+FNw5QE3ne/+13+7M/+DKUUHR0dRYF39OhRPvOZz5DNZotjfd/nnnvuYWRkhK985SvTM2uDwWB4k9Ozdk1R0AE8d2QLf/nTP+Nk4gQdmSzvjIVZMZYB5aMyYyDSJOzaaqEj6VXZIuxY1ALkm64IECGB1rA3vYWeyHx0zmejm+NCGieqHVwS57oa29uW9gBBzZ2XyGDHI3St7S1uD/uKnCyJ7lQs0AUwV4eCpi/ZekohmFnEayErszhKlkT7gp8yMseoE8ElRFSU1+AtSQZCbsMMh4QjibuKa0+5xe0FEgPPMLRyCdH+xYRm9GHP6MNREFJB63uP8WjWy6NZ4gcynLg6n0aZv675jx6vcw31sVPBc2ad1LTvGC0a2Fspj7ZRD2WBkho7o5h3cCVHATqCD1cH5u9m5oGL8+m21XJMSh/b8chmIxzJujCSYmVbhBZLMur7vDyW4rUFR3DqiOvKIxZqzVa2RTh0Oo2TayE02chaMaXTouBmKES+r8wEu+aUIiSnXnVSz1qh9LHMwB5Shzfijw00PJb20mCFUNlRRvc8Qnixxu4Ojl0Q0Je2Rbh3eB4jLUvoESu5MCSL93/MV2xLZjiaCV6HeqCLuSP7OT1rECV1sTY3eFCjk8dJtnTz8MMPAxiRZzAYJi/wDh06xJ/92Z8VP0EqROoAvvWtb5HNZhFCcNNNN7Fu3ToeeOABNmzYwMMPP8yGDRu49tprp2/2BoPB8BbguSNb+L8vfBfQ2J7LsCX4z5mtcFKxYixfd6UVK/ZW11NVUlgaljZfEWEJlkRaFmPpYWb91z4GHt9PQqkGiYEBp2S27mNtS3uKgq56HuVt9nO5/WTdLSg1ipStdMpV4L+EF7mIULatziyC+Y84gpacIItHhPEGKCpfIPaztk3k3HnEnJlle6uZLktPSpYmy9MAvZnlAu+UFybVMcRPhc21p3zaXc1wSHDqdIa5YZtWaTGqFC+nAqNzu6LVPxq8sMSuYRw/0f2FoCsnqrphi1TgWxItJUIpZh1byomOTQAkO0/ia83sE4uQmRhaSSxLYckg9U8IWDAryWv9GicXiLwj2Ry+5QEaN5QhpGy6/Ik7qWogLIOYW0haLHCiDLkeWaVxGtkcNLxwmT+2n0+brDG4ZJMv6t/LZu5xMxSE3uktd6Gyo2ivQUTPzyFCLWjl4x55jnDPEgrNWRVBt9F1ls0N2RAt8UgxgO1qTVRKrm6P8TwpTqTG0FpwvOUiIuoxpBYou3zpJvwcmUwwl4ceeoi+vj42vHyMux/eyYnTKWZ1xfjITcu49tK503AXDAbDG4FJC7x///d/x/d9YrEYf/u3f8vb3va24mM//elPEUKwZMmSYrTuQx/6EB/96EfZunUrP/rRj4zAMxgMhklyz6s/ATS2tPG0wkbgafhZV8u4wAPiY83XYIVdRc4WgYl0vk5K+T7xzp6iMIt//1sTLowv29lM2lo1GVtjCR8fm1xuP5nsMwQVexZKjZJUj7O1p4XlsvE1JXcN8GK3Zn1/sEDO6BxhHCSCYSvFAx0v8lr0JCKzn1HWlu178e03su3rD+AkY0gkCoXblmLl7eX+aKkVl3BkZEZR3I04gmdm2CQHPF4aypa3edQETVYAfAVSgoCRvjidrw2X1dopGdTaWTVq/kqxUx6illdAfjchHLTI4OSi+ZRURQ6PdM9RBnuOArAsMYfo0T7cTJRYOMfF7ZIL3T6e6H2MWQcvyUcHNUIHeaon5+7GxuIdiZUN5wbV4unq9hhbk+nGr50mFddr0aMszczDxipafJTur1BIJEKofFpnQGVnzukk1rtmvGavASo3Blj43iAjG75KwSXeinbgzL+a93T3lZnMC4KGoq1DXgAA0chJREFUMzk0WgfR0FNjieB1bbcRdxWuLcBXxdpVoRRhV3HpM8+RjYQ5sqCXb/z7wzy+3UNrTdiRDAyn+do9WwGMyDMY3iJMOp9h48aNCCG47bbbysTdjh07OHnyJADvec/4m6MQgo985CNordm8efM0TNlgMBjeWpwaG8QSgWgQomAnoBmyrXy6lgBpkbMlucYlS0Vm5evwlCXQWqOURojANL3Axbn4hItjuxmTshq0MRocW2uy7hY0GiEshICIUFj4PN6RJDS8oM4RgtX+6WcPc6DN4v6ZKRJ2GiEEJ5wRnmx9lYzM8cHTa/m1/pu4ODWHTG5L2RGSuwaIeZ04kTBWLIQTCRPzOouG7AUG7E5uOE7R069gidAzt7Xcny7fVCVxYWsg5AopgxpSM6OcvrgDt9VG2wK31eb0xR3IBtrOizXzGWzw/AstcENpPOHT7seK/noFgbMrfpwXLnqSVy5/mJvjc7hQzwqm1p7g2AXbcEMZpLZwQxmOXrCNdOepms1Vyk5b8kwUfnV10Pt0WUuYkCXIaX0m5XE8Fn+FATtBWmRJixxa5D33CCK0Mm9pn/bLm3qGSsRdMHb6iPQsoXXJjU2O9oMZaB+UD8rDz4yQ3fso/um9Ne9NSAjCUtBuW8xqiaGRRLxksXZW+h52Loedc7F8n5mnsigpCGWzLNqzlydePIXWGseWCCFwbInWmrsf3jldt8BgMJznTDqCd+zYMQCuueaasu1PP/108efrriuvyOjtDd4gBgYa560bDAaDATb3D3Hv7n5OjAXRsawfJe2OIYSFtKI4fga0otPzA2EByFCETRcLrts62ujQRTrzzVdOzI6QsyzCEcnb/usdLF5xZbFTn+g/xY5FLcw+la2q4SugmhSUlcyXxzieC+fTMk8DoHWIkNDY+GgIfN10vXb1wdLdS2TI9lgc7prJN9sOk809y42D/z97/x0mx3WeecO/cyp0mNCTZ5BzIIhAgqAIMJMSKIkWFSxxJa8sm5Lt9cretT5/u157X4fv8/W+lrS7llertb3yyrYscSVRAm3ZEiWKghhBAmACQSQOchhgcu7pVOGc94+qzj2DAUgqse/rAmamwqlT1dVV5z7P89z3Em6d2YBEoNC0ug28b2Ib3+X5shbG9/WhXBUQs7zhmhSM7+srSy3dPBa8KlUhahQIqmxzBN+qEFOZXt5ItitWc+Ce6YpVGZp752Yw0l5Nlc3pFY3FA84GHZBLIQQTC0/zR5fuB+CPFn+dpvFuuvrXYDtxHDvN8MKTJEuEWI7G+kiLHE5biumS5bY2uX/85gpyV57omBEOBhJbm2Xphb4OVE8bDIOccDCVSS68R6OyhHXWOpUaqybNFE81HeF9k29Do0sitJCUWZq0BYbPYwMZbmmJsyRaTNEtbSs/m63Cg9Sa3b6SVM5ox2pm7KYrU9jMw3fBNEj37ScyS91fHtsSzbyAydiMi6MWsmSgn8HOCB22oGMoi0h5YAaTNISqtQunBhlsbC1rxzQEw+Ozp3DX1TnrqOPnC1dM8FKhBHcikShbvm/fPgAaGhrYtKk8pcN1g3qGfN1eHXXUUUcdtXFgcIIHD1/A8RWeCgZsy91u+nktkG8Xkpw0MKXJ20eKpspa+by2NsFtB+ZH8CAgea25NJFfX4ZC8INMgncdeYlHd/09ntJEDY0TlZxfGOWSr/GNogpnnvBlli/loS/8SWFg2L717ezVXYxlHNpjNvet6Skoa5YOIrPCoKHbJ9Nil/TIwdFFT7SEFPgCDK0Zyp3jdOYgWZUkKptYFbue7sgyzOYotkgyQwO2tYK1yQi3ziQQiCAqiMDGxFUub69IN3Qm0uCVULGQ6DkT5QPhhKtxhcBQFHzzFGD6msyqWJmYypViankjbcengmhUCZFLLo0X2610yi6BDOv7xrqPYTWlIex6y3gPC85uRoYiK9FME4vPbmGAQ4V9n2w+jIEkqiwc6aHC6xXz7RqRuzz1CWiQQPCYdZxbM+uICyPsXrC/ROPbacTCo8gL29Ahhw4FVWeFAKZlhmZVJMGbjCgbe8ZwG14lOrwO6cQZMid5qukwm3KLuTa7GDQsitgsjtqztp1RGgvKLBV8DaUlgleaytm48g6Svd/nauKD2svie1nGX/x7GlYEQnUzZ56uQRgF64VEIUhZTWg/xjVnKrZxio6RAnjv8HP4I/uYjLbwcs9WzreuwPM1XW3xwi6j+/Zz9u/+AWdkJOgP0G0biKUtTIsJnvz2VwDqJK+OOn5GccUEL5FIMD4+XhaNy+VyvPTSSwgh2L59O7JCyer06dMAtLe3v87u1lFHHXX8fOO7JwfRgBemtq2Z6OXdfS/SGzd4usVmytR0OA7drGSTl0TLfOqXT7NRZUVdhVJXAgDRZJKXPDk4kkQf2hUQS2kgAEcKTA2uFBiexjVFaK8QRBfPx5PYkx6GaTMxMcbgDx/CWfcOrO41TGQdHjx8AYDE6Gme/PZXgkxGaWLkZljdF9gYjLWU9zAL2MAtlsGLzUlWDI9xLPUcaI3EIOfPcCwVZI1ct+NdcOoYAI57ltvGosiQ3BXPWGBi0uo3lF0LoQUaLxTwCONQQiN0uaWPbwX1bZYubTF4ga6e9jjVbBYuqOUrWlwYiZR/EhUuEAVku2JMAM3nZhD5KOCKxnmRRi3h4u09oF286VHumXhbYd3i85vRqvQVL5DKZPH5zdAZLJk0U5jaQCCwwm01mpzhMjvdEWgjx8iMIDu9kEORNNubmwKbibAKzjB9cguP4iUGsRoHsWcWAhplZhBedNa2p2Sa/7nge4UopNvczx1NkpzwSSX6ySaCDKIfpnOccX3WN3iokQ4MJ86WpmIksbJ1QWCGblawS0NUfx+uBNGO1bD+XpLHfwB6Fr+Ly0Dlpkn2PjLHFkF6pwSanIn8kjLUOl9DK5py09x18Rm8ZSeI2y7iwBT7PvIlhGnjJ4skMd+e5fgsODOOWNXGVHOEF5/4Tp3g1VHHzyiumOBt2LCBZ599lscff7xQg/foo48W1DPvvvvusu0dx+HBBx9ECME111zzxvS6jjrqqOPnFGMZB0uKgl/ybUN7EGjWZjRrM0ENjqE9ZqxzSCsCViRMz3K4OTJ/r9H8QNi4saVsuT8ziZbhq0GLsqiSCHf0JZxfFAvqoXwfUAhh4upgxNxx8mnUueexslO40WZ+MHkrKwdeRmswTJOM4waec1qzbDDHWEtgbN0+6bFs0CfqaBxb0LFc8uWWPdxz3gnIXb4OEQOlfU5nXuG2tb9M5lSwf855hRbv7YVIVOlQWCJIWuVDY618CsVq+SuiRbC8FJ1HsS9uRVfQZ1fALSMhwQt3d6UkN0thXSXJyw/MC6mbpSP1kg29uFkltKJlsUZPqnR1vZxnUZMhesV7pMVrYMpIY1LMs/VRbJ1ZWbP/BSiDozMZDC2ZyMHB6QzrGyLEDUlG+ZhLXsFLDGJO9WDOdBfOVvoRZkuEzOIS1RYtfhxt5kALcj2vIaVfsEnwAQO4LWrT52bYI4dZteYpABoPv2dOOwVTiCrLxdKo16wM/DIIlDX/HWMHvo5KD195A1eB0q7OTsPB0j5CKuwX+8EPpjy0UpCZXflWKk37pWmSrT1MT9TLauqo42cVV0zw3v3ud7Nnzx527doFwLJly/ibv/kbAKLRKDt37gRAKcWLL77IX/zFX3Du3DmEENx7771vYNfrqKOOOn7+0B6zmcg6SBGktSVyU7ii/FGtkCScKTDDiJTyMRNdLMPEj0qM7PxTxsyVjWhghqAtJ9qMlZtBCwOhDATlZEcJ0KXKf1qTy2aIREFpgVAKw0vi+y5KmBjZGeKHf8AkCisSpN6FWiRoIOoEQ9X2SZ81fV7hGJarOXMiRctSRUb5GJQX+wkkWRVEIbQOlCqVmmHCTNPhNmJRXrunETzZEeeG0kZ0njJQtm2wvAivYQyEAi3K7B0sDa25ElagAaFx5gijzjYg14X/qrfNtNo0VxilCxUsF8B7B6KsrUqpnI2tFJffNb2Jf2l9AQ8fA4mPYl1mEe+cun72EwCENkj5qkB3B3IeAzkPLTx8obknMQhAtH8jovRz07Ur37QMFB+njAx3Jq8pWCLoSLrQY0E+4grNUmAgmVLF+1wKXbiv5ux7xZUoI3tXSfIA2rf+a5Jn9pDtf/nqGrhCzCfiKLWGnIa8PUeY6ltrkqEUVsYtKOrWUUcdP5u4YhXN973vfVx//fVordm1axd//ud/XvDC++QnP0lTU2BI+/zzz/PAAw9w6FCQ779t2zbe8573vIFdr6OOOur4+cN9a3qC9L9QBXAqksAoqfERAmQYo/JnJvBTU2jfo+W2+xEjLvb6hoJ64JWknZ1SS7ius4nBpW9DCkVEZVCy6AdnhCFFVWEJkP/p5rKBRokK0/tkqPApDSQESp1hHXa+CQlk7eCPZYNe8QRFaN+gYOmQhy0b0BV1ThpFVAYiJHmqIWUjJyODmBhV4/QTcTjeXKNGS9T4VwOO6VetLE3TLCzQ4qoUG0sPXdmN+HBtK4r4cJaop6t8/AB8q3aUpnT5tZklvG/ibST8eEF98z2T2zAuOzQQNBiy7Bprw0VJn1i02Ffpxap3DbYu/FSGgxJBDVlOOGzMLEVZGTKLDhY+89jkQtpP3kX3a79Ax6k78SYXoHyTRInnIVoE99Ucn2N5FWFFBC9croW+8i9PiKaVt9G0/qd4nKOq+WstPis1dF2cLFPUraOOOn62cMURPMMw+NKXvsSnP/1pHnnkERzHIZFI8Bu/8Rv8+q//emG7lStXBmlDwD333MOnP/3pN67XddRRRx0/p8gLkuRVNM81reTG4ec52mDxeFsDE6ZJq+fzjvEZNqYArdBOhvEf/QM6uwjdN1Bo67LBCBls42Cwzh7m9hvX8PXcWZplA4PnkrhZn5wJ8VzQmIbCwNdQgVeXMoKwh1IaS2g8NMooJ1K2ZaEdHyHA9zxsQ6JdgYXJxQ4bdJCWqUoG1bYyEQJijmJ5fAsnZ/bja7/gV4cQrIxvId8lDUTs61mbi+LgYRHUlimCPrX6JkbVBZkrwa2IU0YnK3WE2SQ8CmmawSXFk1fBDuboUS2D9PxyPcuxBpceY+G5TQg/H8nUaMNncOkxSHcXtrs2s2R2K4Q5cG1jhBensqjQFkF7wee1bsHIZc4mWK6Fi9AmUhtooYkgWGREmF4feD7mYU0uIDqwJSRfHtKL0dp/HesSHuv8dmjJS//LQAi14kgFKqnDuYMavdGAi4dFsQ5RIMoiegWBmMt8qaIdq8m0rsSbODP3hj8BzNX1ylPrGM6QmEU5F6gbqddRx085rpjgATQ2NvLpT3+aP/3TP2V6erqmeEp3dzef+tSnuOuuu1i/fv3r7mgdddRRx1sFW3ta2drTykzvfkZfO8qh5ga+3R4NvK20YsqQfLurGYaTbEwFERlveoxD9nqum2NQVgtCCBrsOFoF6XDXySNMd8Vp7mwkTob/OjnDr3x3nMHOCI4lETpIyxQqHCwrjTYNQNPa2k5yJkImmwnEHwVETAOpFE2dPdx493sLKpoNsol10RtYaq7ih8YlcpEfYjkeAkFEmVjaROHjmzGshk5W8zYupA+TUykisoGl8c0YDW2cPvISaw98Ays3gxNtxpObcKIByUMIBBYCg4Sr2TruVpx90O9qlKeDvqQ2smGWsJwgUNnMN6PyC+e86LMclqAGSl0BQWx2a3esu2uUjQ29nDuznGw2SjSaZfnKc/gNo3Bu3s3PiiWxgO4encmRMA02NkZpNCVipplcv0Vu4WtzNyA1ykjhxcexkj0gNbmu3qrNov1bgtRYqVAIHK1AS94zeSNRIZgmIHi6BrmD4FLvmZjhYs7jvZ3NxA1ZuPyu1lih8EpOuvhKEcFEInHx2dX2HFIL7kxuotVvwNbWvAJ7rde+l5Hn/mdVqu9PO4I01fAMtabvoV107Nhetd3eQ/381cOv1o3U66jjpxhXRfDysCxrTmXMT37yk6+n+TrqqKOOtzQm9+wCDY+3BsqDlhBorTDReFqwuzlO9/M5/BwYtiK2fBjVaCHHZxdRKENY+KW1jx0NIodOdoKYbRMXAtfJYQItSa9gizDZZNK3IBqUSWkQpsSOxbnrA0UPvbxapjQMlO8XDNRXbdxWUOU7/LknONcYYfcCG80Kpha/g66zTwUjdSRK+yAFQ0tv5AlxhPf72+iILsNHFVIIfyB+RMe3ZzAdByUNrFyS4/4+1opbaIstL5ym1JA14M7hSoIHs0ufFJGkgSnLoyOnqtZqBFPWPAlZZY5g4TMoaa8GufOiErNGXaUXlSyf8fEi45i5trJ1O+ImjY2jtHcXhTIMYIcyKzpw9VgSswtErwhBZGw1fsMEoWNgzX2Fb6OFhz29EN9Ok+vqxQtr9/IwpxYg/LB9FfS/NOnTj0yXHHV2nBNTSCOCLUWB1AnAEgJfa0wpMLTEE36gvirgn1ue51j8IoaSHI8F6p2/OfxOut2WeV05I96Kys0gZHGyQCsfGWlE5VJoLzOPVuYHYUbQvgt69uTgeZUWCkHeVxMgff48o/v2V5G8h3YfLxipA1imwPUUD+0+Xid4ddTxU4IrrsGbD1KpFHv27OFHP/oRAwMDl9+hjjrqqKOOKnhTwyANJgxBpZ+4VJoJy8DPAQJ8B1aePI3TGJn/AcKxnECwYFUgkGVHW9Fh5EEaNlvt8nnAlqTHkoEslqfRUhCJmwVyB4Fv1l0f+FWaWlrxPYemltay9Xk4ps++ThsNGBrS7asYWXEnXqQRT/hEjQY2ttzOePc19DZO81L8LLYyaFJRbGXwUvws5uRQ4PMtTRACGUbk+lKvEPPA8ANyB/Bsp8GJptlc2ecuwLOyGZ5pHcelOjrqCsX+TomhLv9ClXjFAXSNEXeTq6glwDm5uhltlPdNG4LJ1c0caTE5Y3dW7dMijUD0JvxbEIjgtMggZVPzZkaXBJHh9cxFK5SZJrvwCL6dxnDiRIbXY071lG0TGV4351GCiJ+e8zgA5zbuZXzT88xYaSxZ1FcVgCEFMyLLlJnGwmTKTBfIHYBfIiP7VNNhPD0vqkR8SUCKtPLRWheUWeNLt9O45u28EQQbkXeMFCCubr6+7OpVnpsQnP7rLzK6b3/Z4qHxNGbF/WgagtjoPv7XH/8b/vI/f5z/9cf/hue+/82r6lMdddTx+nHVEbze3l4efvhhbr/9dm6//fbC8qeeeorf//3fLwivSCn5xV/8Rf7kT/4Ey5q/hHcdddRRx1sdZqILLzlGq28yJUX4wA6Gp76G5rQfjPEApEAoTeTCNDQaMDO/AbwQBks3fJDW7sAEfMGqnVw49o8o5SGlxV3xKJWxhpakR2sY0Yt/fEsVeSuN1M2GBivGtCUL4i0AqfZVzLSvwpeC3xuXtO1YAifPsSm3nZtmGsm7/EkkN82s4pncPmTcQPo+UgkiCjSSTKiuGdUwLeHZbjjdDMNxKJXAMJps/KRT1TejqTwq1TFyhsPtp3Ham3j3xHW0qMAwetJI81jrcfqbdxBxdcHGIGOIsnpCCRjCo1mn2MZrPMdmZogXWIbQYCrN+mmfl9qraWKmK8YYkDg3gxl65U0tbyTTFSXmw95Oq1poxYly+mwP/RcXo5RESsXCxRe5ZsUQhH5/kLeJeAPIRhk0hhNHWTmkG6+53k1cInbpuuAv4SPdKLFL15HhIF4imBg2nAY0HqLGUMVt7C+L+FWalpcuT3gx7pjeWCQwFbV4rvD4q+5H5ziboN60N3aJ3twMG6NNl71i0Y7VAKT79qOy08hoM/El24m2B8vdRVvJXjpAJTkVZoxI9wayg0fBry2uA4BhIYRBpOta3KnzqOw02E0IIVC5ZHW7VecU/Hs+sYFOQ7J64mg1wVMKbzrJ6S9+sSyK190WZ3Qyg2UWW12YO8giTuKHcyC+5/LKnh8AcMu9H57rUtVRRx1vAq6K4H3961/nz/7sz1BK0dLSUiB4ly5d4lOf+hS5XDE9yPd9Hn74YaampvjCF77wxvS6jjrqqOMtgJbb7mf00S/yjmmXf2qxcQFDCJRhguex/WiqbHsDhbm9FdFi4v1gpHajpRCwYvNHC+QOKPw+cHo32fRIfrNZYQ/NHWWZDZZv0OwqRjhPynsFXycxRBMN5vV0+Y0Yzm6Euh/L9bhntJVIaF0ecCJBBJMG2Yzre1jaw1DBBKJCETGayJhB9M6RcLZZIFFMW+WvvM67VjL4SC9lspcyWF6KruGLvNY6ybH4OMfi5yvORJLQO1CCUMRFo8I6JgnEvFB91PRJijgr9QArGeAMC3hJXENSN5DISW4ecXmy264ZixJApisaeOWVpFea2kNqg2mrmhSeO3Q9FyeKk6pKSS5eWEosuYD2qEabDigThIfwZo/6asMFFMK3mG/Sj5Y+yk4jvNpDDCUdzFQo9CJKpFh1EPnzQ4Kn7BTCjaH9apKnIuX3fm8mw7XxWL6lwj3bm8mQmI5xPjvIer2o6l4WQIOKzn0+QhN1DVb32yy9Aq/JwCNvdc11TStuw2peQPpCCQFcur2wfdPK2wLbhYGDoHyQBmZiGdqZrt5e31bVfnb0FDNnnkY7RUNzhBGmcWqMSDP2iptpjC5jczyKNbOKqUPfIU8MS+9DdzLJ8c99lnX/4Q8A+MjOdfzVw6/iegrTEHi+ZgGnglhiiZm81ppD+x6vE7w66vgJ4IoJ3oULF/izP/sz/FDuOh+pA/iHf/iHguH5zp07ue2223j00UfZu3cvu3fvZu/evdx8881vXO/rqKOOOn6O0bg+mDW/fs8umBjj8dY4E6akJedy46szrLzkFMfcWmOYFubmBJgCj8sTPLmliYvHvwtQRfJauzdxbO9fkEkOFMrUymTxCUp2rOmrq7mREZPFk6c53fB82JqJr1NMu89yQzqOlxxj9NEvYi/4MM1eE7piaK6BVdGtHFcvIJQH2kBphRSS1dHrMRX4AprdYGuFpEnMVHdkHrrxZnIAMNiQXsxd05tp9RqYMFM82XyIY/EBNDIkdRqpiymAtl9sTCuTJmMGHfrprRCXWEE/0UubOauXsLfTZHqOWr5l472cb1tLXgAmcGQwcSW0lAmtBPTm9GRtInJ60uKGhQrp22jhg7oMaQv760dn8BqGiIyvBG2A8HEbhjBmOpGUHssHoch19RK/uLWglllQ8hQeUpmQrSSVwTrDiRc+gmzX8TDKV31dImNrAMgtPAbAC+4IpDtYH4tjiCBy15tJ84I7Skc2sNOQiBr0pdzbsBK2Z/DJXcVSk4bbrCInfZ2ItlcQwIp2m1beRtPKavJWhRqiPaXkMjt6qiSS2BpEEsN1d+ebSKzEaGjHT41B+G0rbXLkmRdpvzmox8vX2T20+zjD42m62uIYo7Xr/3yvVt1rHXXU8WbjigneN77xDXzfJx6P89//+3/njjvuKKx77LHHEEKwevXqQrTuQx/6EL/0S7/Eq6++yr/8y7/UCV4dddRRxxWgcf12GtdvZzFwH3DxS/8BLzlD2lZMinBCPi94ggum4ITj0mVDtDr7sAzWzR04mXHOH34IKCd5QCGCR4OBrkj5FEAyJhmJ9bH2Ks5La02v9SqWUvjSQAuB0BLDd3jNGOaeXBphWqQbO4DaojFdkeUsfNc1PPOPf0cu5xM1mlgZu47uyHJQ4AqYtsEnUE68gaPA2wv7D/3wZE2CN/TDkzStLZo8H7mhjfWZJt4/sQ10IKmf8GK8f+Im4CUuNQZpfLaCnCFochTZMH1NExi3Cy3ZMZpGJmIoO4104thDazmrl/CU6RM7OM2iXJB+Ob28kUx3rKxvHx5axj9ZmtNNxWWKgJ8tL/lsgohbYCZfC0qDbweKqTLbQHV1Z+X1CFUmQxGUvDqmOdVDrG9rjfRJidNyBi8xiD+cRrpRtCi5EX2DYFaiUuhFILSFMtKFJV5igAwQv/C2ml2LjK8sELyZRSd55VyUV1IzaKEROsjDHF98ms6QNJZXJJYcfxZ+JxVc0xdBGEG5m3IhQ5YmGua8ZFeEN4gszqXMOlcksdANrYkv2U6y95FZtylV1bx588IyQZX/9cffKJA5nRdvAoSQnDx5kjVr1tRs8/SRlwrKus2tHQUxpvmur+OtgwODE3z35CBjGYf2mM19a3oKtkJ1VOOKRVb279+PEIKPfexjZeSut7eX4eFhAN797ncXlgsh+MhHPoLWmgMHDrwBXa6jjjrqeOsiL7wSTfgkloMRATQYNiTWRDmRdXks49C7au60M4C+41MA+G6GS8f+ZdbtLi6rncJ3YpnNk82Hr+Y00I7PpJnC1pK4Dw2uIu5pbC2ZMC1QCu1k0UIyPUtWXNISrNq4jR2t7+X29o+yo+UDdEdWFNZbGvZ2GjSS4XbxAivFpfI+ZGvXKVYu/8DKe7h7enMg168FDTpCXEeIKpt3T2zFEi6GhojS/E5vmn97apx7L83Q7Gp8KWj2NPcMOBiZNnb57+LL3ofY5b+Ls3oJ+4VP48lpjJyPFmBkfVqPTxEbypTpvjxq+8y8NsGiZwbpfmGE2HBQGSkVnGsMSZpQKCtLZtHBOa+9kWtAOJHLkzsotFepcBkZXo/Qtfc3U90IQdH2QIuw6EuU7DMLq6pYnK/Hq4mS4+9YPMnQ8sO4dhapDVw7y9Dyw3RIhSkVpvBJkcXFLfjcaTQOLqPmdFXTtm+y6XycO/afCw4Vkqfk9Cuz9+dnHNGO1chIc811GsiFY7xa2LwjmDgJ/I+DiyUA4p3s3r2bkydPVu2TV9xNTk5gmDbJyQme/PZXOH3kpXmtr+OtgwODEzx4+AITWQdLCiayDg8evsCBwYmfdNd+anHFBK+/P5ALvummm8qWP/vss4Xfb7nllrJ1S5YEJqqjo6PUUUcdddRx9ZDRBlR6GpRPrA06Nwp6bhB0bjGId0d5dtpBa1g6MLcfngasl8OBrZTkcpNV2wiCaGDTudpiD2suOIxa1YPj+cBsjtLqN+JTnl7oI2jxm1FyVdAHrXiiy8KVxZiLBlwJT3WFA3y3kZw0yFVs4wHHm20maWJIdyCcWoIfl8edN91Bq9+IqSUx7BKxF0GrirF22kdqglo4AUjJ2gw8cDbDp46neeBMcP0eXRhhNCLJSRiNSB5dGEFcTFEwDRQi+Kmh+dxMISITG84w3p/CyFaQwOEMWgbHzbWfZHrjI6TWPIWXGETMkkcohUZLD6lms20vfhZ5sZRaCpeGE6c2SRPBOq3xEoNkFh1EWVmEbyL8fKpmbXKnpYv0a/VrNvl/FR4R1toWdyyeJLllL2du+CHJLXu5Y/EkbZkGlKOxkzmGRg/hSUVWOCRFhqxw8KXiyabiJIUA1ox1c/2lJdyx/1ygtGkHl8OMgfXqS6S1WztYNvupzR+vJ6JXefy5xWFromHF7YUd8smrAlDCZEhF+fAffo/f+dyT7D3UX7bfLfd+mOtvexdF1ScBTT2YHcvRWrNv376qY734xHfQGgzTRAiBYZpoHSyfz/o63jr47snBIJFfSoQQmFKiw+V11MYVp2imUkFhcyKRKFue//I2NDSwaVN5mo/rBmH7fN1eHXXUUUcdV46Z3v14mWSF31UwIpR2FJTPpAQbaEzN/bwVQON0KQmsHllG4h08N3GaD6dUzXFnU0pd9YC2bccS7n56C99u2IeHjwH4aIQQ3DW1Hm0kQJ1mYeospxKr+J6AW0Y8Eq5myhI812lyrjk4+KQlifkaX0ImHF9afjCD+Tu9mXD7NTxPN1uvrrso6RNTtV6ZgluG4OhqgdRwotFgg06gfYWIS1TOR7s+T3bbODK/R3C1HRmQNS0rLqMAMx9FLCV7eY+8wPOA5nMzZLpiNHtelbF4Y0OaVDqKUsUol5SKJkvnHa0vc8b5mrlKhctgQOXbaYxsU412NL6dLtwv+e1jl64LhVpmQ6Ds6VvV/nBKukhVHUVW0i07+lrbYq1dfowxx2Hr88XsoX9em+Ou5GZavUYmzBmebDpcsEQIe0FbphFB0fOw83qbrvd9isk9u7j0xDmOyrNs0auwqyKg+c9Hvz6iVsgerUxjnSdq8+5in2pJaoaIdqzGXbiVbH9e4VOAYWIJg86l29lgmRyfxdj8lns/zIHTw5ghIctDSlmm15DH9MQohllO6KVhMD0RBAMmRkfIeeBrD0MKYhETs2R9HW8dDKezuL5G4yMFRE0DUwjGMpepQ7gKvPzY9+HFh0gQ8J1pGhld9gucHe5hcjxNS1uc23eu4ZrNC97wY7+RuGKCl0gkGB8fL4vG5XI5XnrpJYQQbN++HSnLA4OnT58GmNMUvY466qijjrmRNz6vac4tApZgKxsHh6wtsN25R5lijr8gsEyY6qtOrSrbS8wWXZkbTWs72NF/I+qoz5PNh5k0Z2jx4tw1tY6NmQUgLLAivD36Mt9iEaeao5xqLr6yLFwSBAqBeztM3j7kInUQ07EU2BocAZ6AJk/zrgGXH3bXTj+bDwyRL3asRnOoI6EEfG9xBDnssS4TqHGmps4z9eIoSStQeKysAvNiRiEyV4AGL2oUNjQr15csF8ANqreqT2tWnePwsbUYhkIIjVYSoQ02FnwSL08etOEViYYWRIfXMZMYAAS5rt6gBk+XDyO09MPUzGLbgScezHU8LQNCW0jrLIHEqLJL0Hih7+HsGJky8Y3iPnu2NHAsfpFj8Utz7FXeUzMGdtvCQi0sLV/l2bODIGEzK4iUCczkr6nAR88jAbYapdwuoyD2RrpYzNZOxeOkaWWo8Flh8RDpWM17lWbX1AyHcw6f/cqLLF/YzEd2risQvaRu58gFi5RjFuwo4pbHxgXVYivNrR1h+mXxM1K+T3NrB3sP9TPtRogwg4VCKE0uI/BNi7bO7jfogtTxs4ADgxN4vi7cokpD2vUxBfQ0xt7QY33nwW+x6tw/EhHFyc9mZoic+ydO5W7DtNYwPZnhew8HUf+fZpJ3xQRvw4YNPPvsszz++OOFGrxHH320oJ559913l23vOA4PPvggQgiuueaaN6bXddRRRx1vIRwYnOCrh86TWvivYSFI7XPj8PPcPfBUuIXGbGonunIL3RdfRfRNE81dnnjJfETI10Ri1cXqrd2baPJNknFJc1pVUkqm45JWecWZ/gAkT4ySPDrMxsxSNmaWgvYoiqlI0EmkZRGzfG7jRZ5iOy5FNUaA69zDwDsYjUp+0GNxy2gQ4ZME5M4NR9iKwDJhx9jcaatzombqYDU8AU90WNy2fikzyacZGNmLXqaAj1JrhD29vJHu16bwfB0IWoYj/OnljYXNvWhAAqlBArc4F1jWeKSw2JzqITK8nrVOnEhLiqOpLGnHpEGYbGyMssSOgBdE5gJyNhvRC9QwC1ACmW2m+egv4Ntpcl29OG1niYytIl/toY0cmUWvltTrBW0bTjxQ7JyDVKqwzcpaPwiihYFYS4nYjhb41hw+ccDwZAOGW/zMD66fLa20CMOXSN8nmg2O1bTUoOW2+4v9HNpLPLOQwdgYg3KC9SxhJT0YWuILzem4YEkO8AURrYsit5c9coD83a00FGzmrjKQ93owmzBLgxT8cksT00oRl4JxR/H9b73K333nCJPJHK7fAFoFOpzhAyPtmpy9FOMv/p/HcTNuIQJy493v5clvfwXf85CGgfJ9hIAb734v/+Ox48TpZhFThWMLNL7nsGT1tT+uy1DHTwG+e3Kw5u3vabi2o/F1t//l7x7Be+Gb3BY5zrWUP2fz7zxbuGy2XuGpmeXYkeC5+czukz/VBO+K38zvfve70Vqza9cu/uRP/oS/+7u/49Of/jQA0WiUnTt3AqCU4vnnn+djH/sY586dA+Dee+9943peRx111PEWwIHBCb504CwprzjYVsLg+e6beWLhXQAI02Lxb3yOi0deIBnLsv1wel4pYkazifY1nrRZtOF9Zcf80z2v8Ts/fJXV2Rh7b2jEMQOtDEHw0zFh7w2N3CoTsx9gDozv68PxFPlhvxYmEKFoA3CMjnf/W4ycwxBtJeQuWOsimZoMtr15xOVUs8lXVkX5wvoYvghq9EqhgMRlIppzISNnH2FPm9V/C3WKoYvPoLVCaIgRqEPqkn8AZmuE7U1RWoXA9kFFDKbWlaho6hKyp3Sg9qGCNMuZ5XFuiu8tHNec6iF26bqQDPksjcR4d1sr960f512dDSyJ5aN3AqFNND7KyhCQueCfH51GWWm0UZLiqyRCB5GqQspm31bsiRVow0MbObThUJuF6FC1U6CpnTacaz9ZqB2EQJyttHysllgL1I72lWJZd7lXnprjM8xDoJFKs+h8H9KGpZ/4/xbsSgC86VEWne/D9BWG63HKOcNj7j4e9Z7j3PkH2b3Q5wc9JslIYHavAVfr+WXF5o+hNc9Npnh4aIqUf3UR8teFy9TumQJajaAGKiEFH2xqoDvt4avAEF5XDC2btGSBB1OTGUxLFiIgjlrEXR/4VZpaWvE9h6aWVu76wK+yauM2hsbTtIohfIyCRYpG4GHQd+rom3r6dfx0YTidneXJAUdHa1jfXAG+/N0juM9/k7sixzBrHCX/FZBAq5xBKU0u66KUZnI8XbX9TxOuOIL3vve9j127dvHKK6+wa9cuIK+aBJ/85Cdpago0nJ9//nk+8YlPFPbbtm0b73nPe96IPtdRRx11vGXw3ZODzBZ3ernjRu7uf7IgbGCnx5nUCZpTPtYcJXiFcduNnYwZbbykNvKjEwZ/2F1UK9NAxvO5qUtwvjPBs8Dmw2maUz7TDQaHNjVw7bpmNg1suarzykykyWqNISGi8sTRBEyEJel+97+hcW0Hfft+wKGuDYEASSm0wZGW6wFYm/SJihxZAgIzZQmaPF3pX07SrGijMtO16gJVHLLGKg080VNdWza5Zxf+IhNU0IsVXOAo1Vks66d9lsRserpHeXBhFzMyiqE1tq9wwuhopisGAprPzmBmfVRUMrMiRqzFpPnovYWIWiEVstI8fHwlWvpo7SJUiSedmSO74AiR4fUYTrzQDgQ1cwGR0uE+5SmbQhtB86Zffqzh9SFRK17YXFdvUINXlbSo0dLHTHWR4xggih9z/hetC3YJlf30EgOzciYNxCwfv8TcXmiqU10r4BmaFSdP0z42Ts8H3ldG7vJoHx+Hk3Bp2RJy0QiRbI5F5/toHhvHw6Iv7vH1ZRKtTVYlFTvGNR1OYBygtMYsNQMP/+Up0Yyv2D+dYV8ux2okB6YzbG+JYxauzWyFdK8Tc6Vvlh62ZHFMCBACBby3uYHDIxMla4sNLkSiCchfIJYi8D3FM7tP8pv/4faatgfdbXEio2kUZkk1ZFCGWq/Be+vgwOAErl/rIR3cYa+nBm/voX5OPfc4H288Nue3Kb/OEAptneGAuww767Oh9epEu35cuGKCZxgGX/rSl/j0pz/NI488guM4JBIJfuM3foNf//VfL2y3cuXKAvG75557ClG+Ouqoo4465o+5XmCeNBF2FKslUDicigTRtKw1e/1d6Yvscb2DC35ICpJBulupWhn4RCzFWizWbuqAUD+rGVgctiWSi67uvExBY2gjkAs95PIZilIHET6A/U03BUcqZVfhqWXNePin4k7vNU6lt3DLiEdrThdeboIgeucJcKwao9R5EryYgpwAuyTtToUxqVPNZlk7rVELb2oYo6MV3w6IUD8LsFRwvorgXI3Q4sDNnie7+BBJ7sPQQYqQaTjg27ihWly2M4bXaWEKD6UlQhnc3e+WiaAIZaBlfjqgpEPaADyQGi3D+8mXSC8WesyFypp5MZVFB8ksOlggVCDQ0i1P2ZwlWhdsX26UXe1np0OyqEDn96nm8KXwEgNVlgmidKeKz1EryDqSSLaY1tk6YzPeNNv3qdhA+9g4AMOPP0HTurUF7zcAo6mDePcIDI4XtivtUGNykpl4M6ZycW2b002SU82CtZM5dg4HVE4pjR1GE12tCxYM+6bS9OVcJuJZ0hJQUS7mXPZPptnUFKXRFGg7TbarlylrirbztxLXtS1MXg/c5n6c7hNlfo3W9MJZswIk0GZI/rCzle9MpzicK4/mRijqoDquwrYk0hBzRkA+snMde74RxyZTiOABRCxBc2vHrPvVffN+vvCt1y7NmoxiSkF7bH6p85XYe6ifxx7axZ3NvTxpbSEtIsR1jvVuHwvVeM19fC34QMN+vBQcdpfRm3bYe6i/TGjopwlXTPAAGhsb+fSnP82f/umfMj09XVM8pbu7m0996lPcddddrF+/vkYrddRRRx11XA7tMZuLyVBZsIKQmMoDRKFGaE/3bWj2zDobX7n4upf2cGFF+fN5LBP4DOVxufKfl1okG+ZzIhV4tsPkXQMOUmv8UAzF1oE5uWkbeMkcw7tPMbm0pDZwlje9ADacWcxGz0HM2dsKzK2+XwZHgIFPqsS029CSaTOD4w5jmysAkMrnvc1pZLSBSP8EmeWdaKGZoQELH9srRrE0gcWB030C0DTpNDPEMHQQ0jSli9CSZkeyYyzNvvY401aEZldz84jL2qQi0DgpDU3lKW3+dxGkX5bePCUpl/nthLLIf9rxC9tQVhbpRgofvlAmWnglJK82M/btNHmPuVJ4iQH86BTSjZVEGAFkwXhda12mvhg0KRC6srXLQ0qYmDJZdL6vsEyRC5RwqopTgtY3pBdz1/RmOnY04GenyAy+XGbuDdC+8wH81H8HPNJDFL4gdjO4KdhyYA97b70XXxqgNTr8Lk2lz3AIxWq5gkZlMhOmXkakIK0Uh1I5+gyFXJBkhehnBZDsX4cALuZcLuZKREouBLVxrW0jvDOy6Mru+cvAbe4nu/hQcGJKoqxM8PdF5iR5EJC8B1qbGPdVSPSCPucIvtsamEk7IAKLkZbWGP/P3+/nhaNDhefM267t5o8+sZ2bNy9kou9eTj73T2itkEISsQSWaXDj3e+tefy8b15grVD0zQPqJO9nFONzTHD6SnPfmp5Z18+FFx/9Pnc2HuWIvRIAA0VW2By0V4FDFclTQFR4gMfHGp/h66mbOc5qHtp9/OeL4OVhWdacypif/OQnX0/zddRRRx1vedy3pocvHThbM03zhpEX0H5xTcPaG2nsfY6oo/G4/AO+cWaqall7zGYi6xTSyGaI00T1THt+SPlqw9X54J1vsfgBcMuIWyGMIogLAYZA+wrb9XAjFquTXpVNwqmmMHUQMLymWY+V72tUXf1A+IV2k+2juVBMQ2EQqJY+0XyMnDOFba4g6josHjzE4nOv4GWTRJwsnBsht7CVpkiKtG4uS1JUAppdhYqlQUm28RpPsxUHE18baCEQQrMsk2LttGbdVJZKui28wOleS684+NYlai1Aru0M9uSyqpTL2a+URLph+pEurhO+FUbyApGWQkFm6bG6ekP1RFHI4skj13Wc2MWtCN+gkCYqfXJdx4sbBXl8JX/PL8gqRL5cpLimO5pClUTZ0lFN1AVlGDhmOVHdkF7M+ye3B0FF30XajTQuvYOZc0+XHadx/XZ4/+8ivvdFEkuT4eUyaH7beyC+ltg//DeazsH+ZbcxIVsxvRwdI2doTI4xKASDTOA6jXjJDpRvIQ0Xs2kUq3WGlopz8u0kpjP7fT0x3ojfE3gbyhokTwuPIJ12LnuKcuQnG4SW+UbQQuF0nwgI3mxR7xKUEr0nM2PkxChyph0N+FqitUALzSvjM0yOJ4v9BZ4/OsR7/+O/8IE7VvHx++7h9LK2eUfkSn3zIPjpex4vPvGdN4zgPX/xFR4++n1GUmN0NrTzoWvv5abF178hbddxZTCkYGtP6+U3rMBM737ucp/g+cj6MD1ah1NhGoWg11rCwlzw3Mjf6qVzQgaa++Mv8HAKjo1WCxH9tOB1Ebw8pqamOHnyJJOTk0gpSSQSrFixgra2tjei+TrqqKOOtyy29rTyG1sJVDTdoN5Jap8bR17g7oGnAc34j/6BxvXb+e0b1/A330iRjEvapv05B2IKwUxjUSBleVMUCAjlg4cv4IW1YyOqhWY5SyqVgmXTF2uvuwzuXtbBY2qkYH3wO71pPAERo+RVKgV3jRj0JjzeNRBEA0ptD34QnqAoe/1WxxwFQQSh+XWIrBxuMxjyX+TO6Y20enEmzTRPNvdyLD6IVB5LLx6kJTnCde5pfD0BZgQQRCbTRCbTbNx0lBe5GT8MIOVNF3aMpZFdcZSVYaUe4DgjnGNRYSAtheJIIsaiGY+1ydkKK/MROBWQp/D0/UiqoEzpN0xUpVwW6/Hmg/BaKws/Ol2o1auuixuEMBInAtZVfhtWfgSVqZUVPZotdjd7ZLm4vRUXlOhu0pzymYlJLFeBAscu3jd3T28GDaaX9x9UaCGJLapNDIQEEWsCaYDymTn0BI2bIbFMksie4NrjJwA4bCzltLkQHV4LhMCKzmDFZjClxptj0qGlo5/J0YUYTlPNc1XAjKeISUmpxq0pFcJwEZYTEnUfLTRIP4jeqtkJn7KDyYYyaMGRyQjPjkwx7ivaDMnOxiibYyXpoTU+pjZD8sHGTtI084o1Qt+0helb5ITighJM1vIL1BqN4J+eCuy1Pn7ftnmTs8v56r1ePH/xFf73i18HNLa0GE9PhH9TJ3lvElqjFuPZaosNgO6G6FW1OblnF0Jr0iKCDLMd8s8TQbDcC2mfiV/zu2cLl7tiRxnM/fRadrwugvejH/2IL33pSxw+fLhqpg5g/fr1/Nqv/VpdXKWOOuqo43Vga08rW3taOfPpD5VHOEIS4E0XBzDrz6UZXm4jpsoNoytfUp5lcXDbbUBA7v7wtg2FY0FQi6e0wzIdKBvWGmYbTjMqc3VKYh+6ZgkAT5wfxVWaaVvS5kPELIlxKU1jtJdbRtYGf4Ynkbc9uGWkkvDMPli+XKrp5dDEDMcbp9Ec4a7pa2n1Grhzeh3gMtJ4kZ7pS6z3+liUT+1xc+SvWq4lzjWRPhKXJtnf0sy0JWl2FTvGMqyd8XDkcnoXTLFXbGFGx8s66mMgtWZvp8napHeZsxChmmUwQC+1HfASg4XfG07eGShtSm/OwX512zmENkiteaqwtJatAWH0TghRdt9EhteDVKFlQoiCMMtAVSuX71IFkRflUUM9HUS3hQnag5sOp3j8bc34UmP6oFyFb0oMpWnzGhGei1Eq6KAVRqTaOzHvRynyHnuGifY9ki99H2HZaDdHvrBu2GjFwkcojQpP25MSLSXa9cHKRzODSEKZoAiKlo5+AMYnO/DTbdgEpLUfxQokh5NZ3paIFyYNJKCU5IUJn4s5Bcxwz+YLtI2vL6qQzgHpBJMNpWo0Pzy1iH0XFqLDwe6o5/PwVPC9L5C8WcRYAGLY3GwvQnVoZsjyqj/EoZHm2fcLn3H/9NRp/ump00EK9rIGNrT0MzU1RSKRYMeOHaxZs6bsOJfz1Xto93GGxtN0t8XLvPvmi4ePfh/QmDJo3xQmnvJ4+Oj36wTvTcKHNyyumcESNeRVp2dmxwbQSGIqR1balD6lFALPivDZjk+y+NQRHog+XbV/XhSpXaa4u/21q+rDjwNXRfB83+eP/uiP+Od//meAmuQOoLe3l9/7vd/j6aef5rOf/SyGcTW2n3XUUUcddcwXuUiEZdvacC/1Q3aWIjNDsOAjt/DHH/rXNVfnCSXAyz/8PxzPuTyRzpFPpmoSgrtjNkuHFpLxcjXbmA8+dM2SAtFLnhhlePcptK8CqbzQCiDe0Uvj5Bq8Cl5TanvgCh9LX/79Ii4zuJ0NyROj3CCP0JRezy9MBHVILh4JL8b7Jm7kiCm42XkxPIgIwjvKByHItcTJLOsArVna+Crrzl8XtlqknCejcZ7x15GTsmYKnCcF05ZEm0E9SpCWWfMMwyYVaFmiaFmOvKplkGrplqTwzaXQGPQ3Xy93eYgCycmj6IdX3q7hxEr3mj8q0zmhWP+nwXtxAoyA+MV6NKsvOsA0z29qYLrBoCXlc9PhJKsvOsjrJ5F2I2UXX0qUU53G7E0NQ0WkCGmgPRfZ0ICQBiobWDSkRQQDhZChiJAPhlL4QhDXDikdDQeMgV6kqyRKSKTWRDNZmscnGFy6iNNOjJxw0Vrg5wk8cCHnwlQgwtJgSFK+4nAyW1az9+pgjG1LjtAwthojV01YS2EPrSW7+BBaKNCCYyMt7LuwoGyCxA2v/e6ZbHkUbxbkawQNBDFsthtL8Bpd1kdt2gzJuK/4YTLN4WxlvZUu/H/0/AzDQxY3LjZJJpPs3r0boIzkzear17TqVv7q4VfRWhOxJPHR/bz4jf/DgW8oDNNi8463c8u9H77seYykxrBl+YSIIQxGUmOX3beOq0M+g+Wbxy4yEUby2mI2/+qaRVednqk8jwbhs97v46BchUIgw+kLV9oMda+isTlKQkQZP99AmyzareSfDgqY1HGWr34d3qpvMq6K4H3mM5/h29/+NhCoat56661s2bKFjo4OfN9nbGyMgwcPsm/fPnzf55FHHqGjo4Pf//3ff0M7X0cdddTxVoLR1IE/PVI9cG4qqsqNL1tEW5M7p8upubOTVPN5JoYO09q9ac5jnnAV30vnKE2Smdaa76ZzXOsOczG5/CrOpBpNa4NzGN/XhzedxWyO0rZjCQdO9bBgFtuDaSsYONoRG531Z43SaQLxFqeCAwpDBoSS6uWlGN/Xx+qWSRZMrgAt8EOS4qMwtWTl+LXAiyAEzTe9l+TLP0CrIEU2t7AFjUb4Ci8xgJNqJTK+MlC2FD5OxwVeiq/Dz1eC1CChmqBWr3xJWMNmOiWErywMgpFtoPG1dyC9GCBQVprsgiN4iUEyHCTavxGpY4XttfSD9MoaNVtaBud8Oe+5yn6XwrdTgchK2Zoiaaz12dUSbJlt27Kj+houZZCGQCuNMwXShtUXnYDohTwcQNiQ6d9P4/J3oEUYCxNBVZswjgG/WHYEM9GFlxwDo2QIpXyEaYU/bQjrVuM6R1YEUQIh88cUxHWWt6tXIQeXZBu95hLSIkKjyLFyso/GM+N4jgmeR3JVFznfQgqNq4v3Zj+K5UguhCIsiyMWm5qibG+JlxG9oeFOXgK29JyjfWTzrFcOQiGVixRUNJ85s6RQoVQKFxiv5dF3GYZuh8POuxvNQB1WaxJScH+ikaVWlvURmzazhPTliqRvJBtDiCkMw8D3ffbt21dG8PKpnJU1e//jsSRae1imZJFzkAUE6bNag+e5HNjzAy6OzPDhX/21Ofve2dDOeHoCUxQ/d1/7dDbMrkVRx+tH6YRjKWZ69zO5Zxfe1DBmoouW2+6ncf32OZdf/PZfonQwh7jQHwcNvdYSMiKCb9kMdq/BaI5xu3iBFT2XGMr0EB85T0SUEzlXm4y1ddE9//LWHzuumOAdPXqUr33tawgh2LBhA5///OdZsmRJzW3Pnz/P7/7u73Ls2DG+8pWv8IEPfIC1a9e+7k7XUUcddbwV0b7zAYa/+z/BdQIdeCHBsmnf+UBhmxt+7dcYOvS/Ea4GC6gsXzDAXNUIwJlXv0qscQELVu2cleg9lxVVTQD4wInWi7Rkq33CrhZCncJwdqFzwxhOF0Ldz8t6E62dkl/o94n4xfo1T8KJ1gluAUSoL1KL4GVFqDkCPNFlsbVkXfP1PUy91F/Vj+bry1N/nIk00ugk4cVx8cqCRr5WNHkN2F3LCwOJ7JlXcScH0Z6Lb5ugNEKAObGAyMSKQoeENolMrmSi3ayKUFZix1i2IGiihR8Ylct8nWVw5tooGYQoA5BIr+jVJN04sYtbyXCgcHxtuMH+ykAoA4RCmelA6dC1CxEyXeI9N984W2UwMtd1vMRfL59QCE7X8WKLVSqaQeS1nBLODg3ganSy5K4V4DuQWAFT5yjlxyCgeSnEFwyQGf8RIrodaSdQzhTaf5klv3Rf1TFabruf0Ue/GAgchTV4CGjadi8zh54IlgsBWrHe6+OgFUQJAqoa9H69V1T3XKTGWeSUqPbFwbi5k/FTDWQGB1k8cImouZKsZ5Zdh0k051AsRLI6YnFjIo4APA0xKXlbIg5T6QLJM1RTqLpa+1LnYU0vDIgeMJmeCFNHq69zTMDnwrq8mAgudEbr2jV6lQiDzTFEICYE3N0YqyJ9TM2UkbwXLiZ42+IppJRMT1cLPK3aWF2zN/SN7xGxgnutW50snkAJBnv3svfQu+dM2/zQtffyv1/8Op7yMISBrwN12g9de+/s51nHm4KZ3v08+eT/5rtNJlNNDUCKxIt/x47H/pbbnSyGYYJp40wMMvxPn2PEtPB9H+VBDhtfe0SExyI1Tldukm9md7BybZY7WoOUzPzt0b1Cc45ldA/30yKDsocpHWewcwEdiyCdvro6wB8HrpjgfeMb30BrTXd3N1/+8pdpbp493L9s2TK+/OUv8773vY+hoSF27drFH/7hH76uDtdRRx11vFWRN12uNTuZx5o1axh6qgnRZKJTPsTL2Aiisfyx7+SmuHDsHwFqkrxxx6HGBD4AOUPxr2+dI1R4BZjp3c/oo18M3qymjZccY/TRL5Jc+29phZriHNNmc+F3H0G25NQsL5/I5jMls+xp9zmXKB+8xRY2M0U1wYstLH+vCS3wE/2kxhbR4MXwS2wIJJIJM8s/rf917mvpYStFAiAMC8PT+GYQmYsObYJKBUv3smVR2CKL03aWr3SsZ9o0afY8bkxfZP1EFMOJo8wM0osgfJOA1c/eolBGaIiu8ycX/DR8Ags+gVQ2vp0ms+AIXktJiqfO05MiUZkTeWGREHk/vOjwuqDWy06T6zperL+bwwhvvqmbgmDuQx0oSa3UYEQFsbagLzP94OfAiEDjYkmsFYQ0iLYOgPsN8BVmWydt73igptF54/rtTB4+Qf93vo+XcjEbLBa+91463v4rRBetZXLPLlzPQbu5oCbTg15jSdFrq7RWs+oEJFhRdC5Fpn8K7bq0Hhvg5nW9PCU2Vn20k2gm8Xl3UxM+gS+jDKuKDGBjU5TzORcFNBgSV+mCDUr+o6m8toWJEhEIpYx6PuE0QBnSWpPzg0mGiXCiQQD9ns+Dkylud1zetWQap/sERyYjPHN6KZOZKG3SLBJAUXJ8HZI+EZA+R2vuaYqXR/EyMR49afOOZRdobIhzbO9f4GQnsKOts05UdbfFGZ3MYJkiENWo8fWQqFkl7187NMAzu08yOZ5m+cLrGFl0kmk1XVfR/DHgwOAE3z05yFjGoT1mc9+aHrb2tPLEU3/LtxIWTomlz6Rl8ESnpm3IZ2Mqw6EGm6e6G5iwGml1fe4eT7Ex5WDjk9EWKR0FNDY+R70l9J122NA9XnV7dK/QsGIBkyXLurTG9QQnTy/jrh/DdbgaXDHBe/HFFxFC8PGPf3xOcpdHIpHggQce4LOf/Sz79++/qk7WUUcdddQRoHH99pqDzlJsueO3eC3z/8d9bihIVSuRbTRubCnbVkoTpTwGTu+uOTiycjG8aG0VM4Bm/2Xgjis/kQrMJlzRJFLcPCzxhCInFAiBwMLA4IaRIOdSi2BgG/Pyp6pxUXyr/UWOxQchjJ9E3VuAGwrHHHnyTM2+jDx5ppAyCqC1QtsZpjpfIz64FUNJfBQytErY155jIuvw4OELAGwtIeKxwSlSS1oQdgThltaaFQcmYk4FGB8fkyeja9BCIXWWSUvyROsCvLYXWGlcwpzsIXZxa4V/32wNikLNmy41LlcSkQ/vaDCyTUT7tpIVB/ES1SR4frI1IuBsoZKmAPzEIKlagipzuZxXEMU59xECtX8a3ecF+gA6qMFrWhYBwyPW7gdET0iEZSNMi8bNd5M982owadK5tGrSpBKj+/Zz6TtPoHUUo6kB5ftc+s4TRBcHpuj5fS/85b/Fmx5jkT/BIn+CuYi3jDaEqZ2gfQ+zqR30pcJ5bz1+iIaGCR7v2Ma02VgQhtDhNWgzJE64rQojbgpBoyELR53xFXEpyYUkzyC4ZSZ8VYia+QQDw5iUCA07G6OBoIoOrFfycdeYCOKRphDMlArbhD8V8HQ6R5d9ASaiPNK7IrAwMFwmfKpFWqDsdhJABMFC0+Cz3e2M+H4hZVNh8PKpFn5t9AcknTammiwunhsg9+gRmlo62PHOf1UWxfvIznX81cOv4noq/NaqquMpJMM1jNdfOzTA9x4OhARNSyIHO1g61MkvfGgT12xeMOvnWcfrx4HBCf7+4DlcFdzP/ckMf3/wHEOph3g8Bm5I7kp1ehwp+F5nI9/rhMlQsEsAAxGTry1I0OAH9a8trs9tYw7rUi5jqhEpNJPZKCPHr+O09rl+9WtYhjfrYymbjXDs+Eqybu0Mxp8GXDHBGx4eBmDLli3z3mfz5iDne2DgKlSy6qijjjrquCKM7+vDWNOMtnz8FyfRSRfRZGHc2FJIzyyFEAZOdqJmW4snNnBqwf6aQ9MmIWfd70oxm3BFt7uXhHsLLioMz2g0Dj42CTd4gRsxC5l0CmWHkiCKIZChcbaB1j6O+wrwoULzfrK2iW7V8vDku9pHGOAAiZFraPQamDSz7G/P0d/WiSUlnlJ89+QgW3tay4j4xNBhBk7vrmhSF0heq6sYszRKVhYJQmDBqxFKYIby9QZBaujLxiZWconI8PqArJlFARPh2dQmYDqQwoeAcCoxi12CCFJIL22oSfAEYEz11LZJCI9jRVpwc5MhKa/Yu5SwzUXugqbmnaKJkKy87xP0PbSL7OAAhq1oXCRoXtlDy233A7NEwN8+dxdK0ffQLrTrgnJRWiGEREuryhS97R0PFKPS0kClpqEq2ZGA2AkZENIw3bPltvvp2/2FsvNel+pjXaqP4w1LeK5tC+NmE75hYEnFhO/TLCWlEjYCzbivcYAI8HIyy82JOBqNozT54e93pgMRifsTjRgERC6nFLaUbIjafMDKsHsmy5Rj0iYt3tFo863JHPnyo8ozKh1wP312Uf5riykDom+aHr5rFURaDmVy7J7JVlswhGm0loB2Q5albI5ZrciUx8hz4/QtiAb3mCVITo6y+1t/zWj/Tdx0z28CFKJyD+0+Tv/oKhZzsuomGmA1XW1xKvHM7pNorTHM8LtnCnxP8czuk3WC9ybjm8cuklOlCpfBffkjuZYJ62DVOymfdT1pGmUfb+l2KSOorR2MmDy80OSm8RzjfZtQSpKwHd71Ox/lmd6DPHc2zk3uQeJ2rhjpDh9bZ84t5PipoI76/l+99s049TcEV22T4Puz+fFUQ4V+SleyTx111FFHHVcHbzqLbItjrnQxV1YTukpo7WNHayuS5VILuDl5DXubXyt7UdrA2yPRWfe7UpiJLtzJEZRXlNgXpua0M8ANZppmP4afjzhpkHgkw7oa7SpMyl/kJgbvmtjEsYb8xKJEqSRXBQ3aMzkru3m5ZRPJlgZcTCximCVDakMIxjLVpDEfGR3ZO1nRbEDybh5x+f5CgRK1lUC1FsgKbzKpJEnRjBVpRrrxMDmvZB/hInQFYYaisbjSRC/dUIzazYJAoCWEEJiTPUSG1yGzjYBESx8tfKQbJXbpOjIcxEsM4jgCy5498ntZUlfa54qhXCF2WENFEy3o2LG9jGhV4nIR8MshOziA9nPh5EEY4fWyZAfLJ7ErU6qFaaC1EeaQKpASYVrIaBNGtKGKdEYX7CI7NIjK5soI8bpUH+vSfWAIjseW8FzrZh5P2vxiSzMRoVFotJJoIXg0meJY/t7I+VycUtzTFC9Rr0wVUyCnZsrXTSU5nHNY3zXK+6/roz2ewZ7uIT6yjh8lBZO+xqSYIFAJgWYyG0TorJJosUajNAx4Pr8/MI5PkFgcETDpV1gwhKP2iBBEBHy0pYmvTSYLfR7qDNoXSkMuqHXVwAuPnWP/nn8kqxpoaYtz+841fOE/3AXcxTe/8ncM9u5FEkT0BlhNn3Udv71zXdU5TI6nMS2J77o4Thatgtrn8ZErV08c3befvod2kRseJtLVxZKP3D/nffpWx0SF/10wUaBZOfEYAyWPpdKS2tJls0GX/NzfFsWfsDGSsKY5eD/cvv46GluW8bcHV7H+9BE2dp0mHsuSzkQ5cXoZQ8OdCGDttV0/1ST/igneggULOHv2LAcOHGDbtvmZTx44EBR09/RcnWdFHXXUUUcd84fZHCU6eg3phZdPi1fKQyBYsGpnzfV9GZd/M3U9PfE0e+w+ppQiISW32BHWWtFZ97tSRFa9k9z+r4YDWYnWPtoVTCnNM82HeM/ETRg6SI00tAShmWk/CdyGytUebLWqOP/3hffj4bO38RRPtp29us4JODuzkWeaVuAh8THQCBxsnHB4IR0XUwi6ZjHfHTi9G5Mbq5ZrNGuTPpP6FZ7mllm7oAQYuvzvRDguV3YG4UQoG9ZIUDqHVBZ5MRNt5MgsehU/MQCeQpubEG7Rh23Wkw9hTvYQvXRd8QAE0T9taAhl9SPD68k1DXJmsIlrls1UnGwxVbOgApr/ezbCN4sN0+wJom/+RLJhK7x0RQd0sLwSpZHcc3/+MYRpF4ghBANWnUux+N9/sWrfJR+5n9N//UWEaeFnk+AFx6HJxLylDXNVI+u+dI51IxdhUDN11y00Za4hqqNkzQwzbcc5MrSsrM3DOaespm0+63qHO+gd7ihZEgy840LiaY0NZGu0ZxmKlmgOAUxlbcyw3tPzJVmCy6cI7gIXkIaPJTWeZ5ZbMJRcZ0vAr7Y14SlId/w7tgqwpUHadzmVPMyU8wpZvZAZtmEkNdJOMTWu+N7DhwG4ZvMCPvyrv8beQ+/mod3HGR5P09UW57dn8cVraYszMZrEczMFSzCtNZJJTh95ad4m7Gf/4av0/8t3C8Q+OzTI6b8OPvM6yavGgcGJMpK2ZqKX24b2MCCn+U5nI6picudydcyzQQPGyiMsHVnMB99dzO7Y2tPKr18HDxqSvsHVxF8cQ4avGSkF229fwc77NlzlUX88uGKCd9NNN3HmzBn+4R/+gQ9+8IO0t88tDzs2NsZXvvIVhBDcdNNNV93ROuqoo4465oe2HUvwdufI+HZofB2ixojYjiTmVNHsbosz03SB1a1JVovGoGAsXzQ2svCyNgvzRbqvE6L3IJx9oKZAJtD2DhLyeU7G+/gegtumN9HixZk00+xLHOMe5xTwibCF8nnc0jQxA4PbZtZhG4uvqm9mU4SXGxbiIfEKIib54wVHUhocrbm2o3bE1MlOzPnCXWNd5Fnt42NQaryrEcElB3wRGLyrUJji5hEX3abJdfYSvbSloLIJIqipE4TKmuV9BZCRGNKNMDe5A2UV65ICcRaqigaFb4YefRrDiXOqr4nsdHm7uqpOq+LvMGpbiasZuM3H/uP1oHGRYOpUYL+Qv+WEEDQuErNKtMPs9gpmoqvmcfID/76HdpHuTyHazKo0a9Fkomc8cDX2iQOou/p4eaSdpy8sY3JoMUJotJ77M75avK85xhOpHFO+T1xDhuLnZRFE0e9YcQmAR3pX4CmBFJqcH0Sqo0KQ0QEp1oDjBxM7rtL0K4/PjUzVVOMUBEQvERqaKw0xabIpcT39F1wO2AvRUuJboJTGcDMoZZalVd68eeG8jM5v37mGf/zqPpQWTLUMMbLoHE4kS9TR7HryBf6ghOCdPvJSlUXDqo3bGN23v0juwjw/lQ38QyvTeusI8N2Tg4Wn+ZqJXt7d9yi9cYNvdzbiidqqX5Lik3l+CGuEUQx29TMeK5+QylszfDc6yFh3vEzk5WcBV0zwPvrRj/LNb36TiYkJfuVXfoX/+l//K9deWzsH9dixY/yn//SfGBsbQ0rJL/3SL73uDtdRRx111DE38gIh/oGbSCb2gfQq3ocCKS2Wb/rIZQfCH9m5Dv/s00jhFcmdFqAFqmnkDeuzN52F6DqIrS8u1Jqbowd4LJMjkEFQIU1RbLY1xIJomdkUwZ3Okn+9i8rQSvj3jdOXT1ethY47V5A8dQo/TAQVhf+Lh5ASLCk5OjpTUuVXxFyprAJBzjXZaB7nVTYUjpDv97Zxl4UZxd5Oi2lL0uwqbh5xWZv0SSsXv2WQnLSIDK1GONGAlPlmUFtXcHfXhQhbumUwGGhW5jWVQYP0yS04Ulgiy4zKS0le8advpxlPRrgxNo0VSQQ1eLNE4aoPWZ1yOWcXZ4n6zaUK+0agedVCEIPMXHDxsj5m1KBxqUXDwqaaSrAQRPJms1fI1wbWQj7dtO/4Iwyff7pqvXFjC95To6BBnU1zBItH7bVoAabwUUqj8kO9y/G8Whd6jn0WWha/3WYjpCIuDA5lnLCWzqfNlOxsiLLeWYrbfQKuOVNQ0QRBlICk5dAoHXxjlRbk/OKwtN/z+epkCjEZ1Ajm46OBAQh0mgY7GwICaIemhkuX3UTf1AyXcrnwlhd4WmB4HmPD4xzY/QdEG7pYsGono9NR9u3bx9TUFIlEgh07drBmzRpOnjxZtjxiX2A43kj/8jOAQiofx9YcbvN4/uIr3LT4ek4feYknv/2VQEjGtElOTvDkt78CwPRDuwJyB2XfBZXJkgt1Leoox1jGwZTgKuiZ2sMXFseYMudWbK5R3crsT4/wxtYEz8VohIePfr9KEXU2D76fBVwxwVu9ejWf+MQn+Nu//VvOnDnDhz70ITZs2MB1111HW1sbQgjGxsZ49dVXOXr0KEBBdXPduur85jrqqKOOOt54NK3toGnte5kYWsHA6d1k0wEZEwgi8Y45o3aluHnzQl6+lAFZ8voMiZ60M6+rj8kTowVjc+1pyPUivP2FCB72DtZZNq3JBSycuAE0eMKj3W+ga2gb2QXBC7/jzhVc+s5RCGRVKo5SJB9Gxbt+vkbnTWs7aDpxmDHZTL5yrhJNtoXWumYNHsCCVTsZ2TtOLQd6hcIyXLYbh8CHI6zDx8DAZyPHuX10AVJFWJusqLOTOa67+/8OpOKtUXKdk4V1kZdvBVGZrhhE2ACUP3cNkR9N4lT43ik7jXADaXEtPYTKy2yEpJ/ACH1H0wjRaAuJni0Mn382lO24PGqmXc6ioFkp21Lejp5VFfaNQMtt9+PNfJF4p1VG1PJdrVSCndyzqyxVcy6bk9mwZN17ABg+v4fSoWw+muftHgFfs8dbj9YKI9wmgo9rhGm4s+e1IpWPFrLi3p5jB+CHyTT3JxrRSpKTis2xCJtjEZTwcFQQRVaTCzAmetgmJTc1A82Bd95kqMlgSZ+cb846DK8VkfHDf6Oez8PT5WqcUghua2kiqxp4aXqGS7nA5sVXkobMFJm/OklGnmS0+WXOL1lJsqcH0zRJJpPs3r2b/v5+jh49Gqhmhstlq8VI13GE0MiSRAElKJCCF5/4Tkjugs/eME18z+PFJ77D8jlInNHQMOu6tzLilsFYxsdxz/JEiyIj52vHI6omM4HCTVTrjo4YFoYwGEmNva4+/7ThqkRW/uN//I/kcjkefPBBIIjUHTt2rGq7fErGxz72MX7v937vdXSzjjrqqKOOK0FeuTHvEbVi07+++gGvqCWhMMfyeSB5YpTh3afCHEqJzvYind1hVZYB/jRkf4jMdrBi/NogfU+GXg8o0JLIyDVAQMDOWkOscmcveA8if+VDxfkanQPsGE/xSEcTtQa8+XZ9rWmPVQub5OG0n8EeW121PNd2Cit8G283DrGdQ0G74aFyi4eJXbgBKBVh8SGyD3gHC1bt5Nzhh3DdfJKcwLLSSCeO0PkaO42WPr6dLuyvIimEEw8Mzku2UXaa1JqnGBxq5+SxbWQyUWKxLOt7LrLSXR2QOaHQwgvaFwptZch1HcdPDCCEIOdOM9q3j65ltzJ87Cl0tUDhvCFC5nTZer0QWqk3TN21FmYjaqOP/FVNJVhvarhs36sVeVmy7j0sWfceJoYO09f7nSA6SgnJe2qUKasRU5UQaktgaw9HWwERrVBqNbXP1snXuHv8FQCONyzhB507gq6jyJgRVI1JCQhq9grCLCIQZgGISyMUcAlS3oL1mjQejVLwjiaTf5xUeFpjGaC0j6cqyeXl4QFozdemUnxzOh0ocIYRvaiU3NrSTF82x7msw6bGOE1GO6mFv82R6TTjM2MsP32QJa89w9iCLhITU9iZHEfGx/EbG7GiQXaAYRjB/WwLpF/+/JCIAimYnhhFYZBK5fCVxpCCqG0wPTFKpKuL9LlzNc/hCrSG3lLI84eccwAbWSW0VI3ZL6QNBe9HVweqsvnInaEl8VgMT3l0NsxdcvazhqtW0fzDP/xD3vWud/H3f//37N+/n1QqVbY+Ho+zfft2Pv7xj3PjjdWF5XXUUUcddbw5mBg6zIVj/0hvNsOedJopf4xE/2lujUXZ3Lpo3tG7AmZ7d76Owcn4vr6gdimMlhn+/uAlHipJCmEiTI05OYN0GtCiMgqkkG4w+508McoKt6ektqsY3ykkO2oN6hRwW6GFrjtX4kxkyJwukoHYqla67lxZ1d9rhhI81uHhFsThi9ACPBWkj963praY2MXj38VZNIHMxTFnirU/bmM/zqLXOKsW8ZLexAwNNJJimzjMSiOoX/ISAxztGePF+NJCiuaWsXPcOPJq8QAVI0W3YYhobk3JkkAQxcg10nDiTnJdveS6eoleug5tKErntnNdvQwOtXPk2Fo0IKVPNmvz6rlOWH6KFd7iwKg8kibb1Vtuhl5S/aiUw8Tgqyzr+RDnhr8F0bln4ee8naqsFmaH8rNYkZZ5bn11qEXUJvfsuqIau6tFa/cmWrs3cfCJPyZwVsgVSF6iN0WSGIbUYEsMO4LheiRUhkgux5RuIKFS3L74LBu3pPFOz6APzOBHDGSTxaqZS7xrZB/PtW1hymwkZrosbxzntcmeMEG6HHOJtpRuk8c7u7Lc0ZTgg0TYncwx4Zu0xdPcseISuw6vqamIOBsUkG85hg4UOKfTIMKInoYl0QhLokF0TwNNlsXN7QnSLY28kujgVCaJp2yMtiwCQXYyjpx2sJrHMWMzCILa0Ihn4chcMeMZkKaJlXb433/6W7iOi6scfKwg08DXpDMO0YYELddvnJXgOZNT8zjT2TFXzecbhcrJwit+f1wFZtzgea/UDI6UzC2eJKp/DQkcWuMrGz+fZSA0Qgb+dkILbNPEUx4g+NC19745J/MTwhUTPMdxsO1ghuqGG27ghhtuwPd9+vv7mZiYQGtNS0sLS5YsQc47pFpHHXXUUccbhYHTu+nNZvh+Mgk6kDJP+ppHU2mEHMJ9k2uU5gNvOgulqZBqinyEymwIDZ+1xkvEsWZSoUl4acRQFqJRo0+dRVZIk+gKkofqx/AeAT5e2Cp5YpRcfxIZNUEKUJpcf5LkidEyo3OA402yJrnLH6E1OncBvpOdwJzswch0hMI3wVDWzHRwfmYjz8TWhLFLjxQxntFvA/UCK+Ulzs1s4unmZcF6pUmagme7V5D1foGVBORR+WGbQmIYEax0dzHCVlYvKBBulOil68guOkh2wQHs0WswnIYSL7sBTh69ISR3oWiN0Cgl6B1M0HXzU7Nch2q4uSmM9Q2IpFGIwuU/k9JB/Hwic1eCWoItbzaupsbu9cCOtuLkppAigvIdzFWN3Nk4wCNHV+MLiW3aKAxMU/LOdSfZ0F2dgha/dgmbPvl/FSaF1F8fZW22j7WpPgBeuHU7WgimnEkupmvd2xpLKFxd2+KjEo8NR3mMXNmy/2uJD61ZHovmmMpGKmSSLg9J8HmbgKd1UYGzItu09M+4YXBLSzPZ5kZ8rbGlJOUpDs+kueRocpPdaDRWbAaNYNFkE+facoHAkSZIZ/U8FvS3MprahOdHMUQKSxxHGiOFp9GB6RU0H7zIiln6rj2P0X37r0poZaZ3/5w1n28E8veFRiOkhZObetNrXA8MTuCF0VIpG1H++Nw7lORd5p/6UgpsGYEZk/a+NYwsOokbyWD7Foun2jGkZLQrTUbkaIu38qFr762qv/tZxxUTvE996lOk02k+8YlPcMcddwBBCHvJkiUsWfLT6+j+ZmN8fJzPf/7zPP3000xOTrJ69Wp+8zd/k3vuuecn3bU66qjjLQYnO8Ge1AxojREOdANzbM2e1AyrDU1f73fm/YIWTgxdo95OOLEaW88PZnMUL5kDI3wzywT40whRHv1QEZNc1/FAnl/nHbcCYpjr7AV+AS+ZKxHcL5dA0WikFiBbUXJtWR/G9/WhPR3U4SkNUiAMyfi+viqCt6/LrikCAtCo0/z/brvhsuccGV4fqFuWpk0Kn5flejR+oW7KQOEjeVltYqW8FK4vJmgaOlDUPNa9gYmhw+XpiFrhexkMJ17wqCs3PS+MUImMbCC1+nG81qGyfgogk40hZfmsuRCaTKa2DcTs0Jw9/PV8A0EkteQ4JY1fYbtzw/deX33o1eD11NhdDRas2hkMtoXEtBrQ2mfz4hzdyxfzyAvZ0AIgxi1Lj7M6Ubu+KJ8Kl38WHG85jT+eAS9YHktnyESjhf370y0oBBJNi50ipyxyXjDxIcLv4FzRN0v4KARRwwWtSflRnhuz2Dl1K++PejyUS+PoK1NPjZTcO3l/vT8cnCg3TZ8F0TAQ4WmIGZK3JRp5YSrFpZyHM7EQdD9WbIa2TCNm3xAXeiRZWxB1FAv7m7HGtxFwER9fx5hILGRk8QQ52wcnSuai5MnhhVhdRxhts/NBJDrGHRYP55AR+6qVNCf37AqzIEyUm0O7OVA+I//yeeD/c9X3XWlU0NMecaGRno+K2jhLenDbGt/UGtfvnhzElAJXaSLW9WT8x6u2EQSTXR8aTvFwZwvKUCihC6mclrQxDYN/845f+rkjbvPFFRO8w4cPMzY2xl133VUgeG91pFIpHnjgAc6ePcvHPvYxlixZwre//W3+/b//9/yX//JfeP/73/+T7mIdddTxFoJhxpjyVdUDXgJTfpCO5+Ym5yUnP9O7n0j/tWSXHqRgBASgTCL9tRWU54O2HUsY3n0qIFdSgL0Dsj9EmDoYdIbRD4SFlxggC4HBthNH2WlyXcfRztmgsXA0WBzmlf4W1uwB2ri1rA/uRAbtqeIuSqOVjztRTQ6mrUCEe/W0xy0jHglXM2UJnus0GY7PFtkrh8w2UF5HJxDaZNo00SgyRMPIo8bCJUmQgjptmhiqov5Hw4xlMnB6N7WS2nw7jQwFUapCGQBKYGSaaDr6Cyg7Ra7reCioEiAWy5LN2oiSnDStBbFYueNZYHy+vuRzqUzZBJ2vCZuvmuYbAMO8+smH14PXU2N3pch/dyvT57Z0b+KeYiYyB594gtk0dZRf/Dxbuzex+hO/zem//iK+46Idh0Xn+zi7ZhXKgNUtY6xuCYli+FFK32fV8VP8S/xmpqwGMCSONsrq6aTQmFLRGs+yKXEJT8myNnICdntwZ6KZDxPjRzM5xn1FNBSuSfrBN7hSRVOHP63wUI7SBT8+R2v6PZ8HJ1Pc7rjc19zIoUyO3aks474iFoSMyWhdVrsHcFtrI76GpO/zWkbSuvQIzS1TvHTiBhafXoKRAz8iMB0HrRVSBIx0qmWISyt60Uh8ZYDlY684SkQ0MDJTrM2c6FhJ7w034dlNNKeSXP/qPq6GgnhTw2DaAbnLFU0qtOcy/E+fY8S0sFoXzGuS4bVDAzyz+yQTo0lmvCT94gaSyqJNzvDO6KsYbUM80RZnLJfGPC/o6l/Iqn3PcPvONW+42fdwOouritF+qTWqEKGDqNKgNS2+YulUlE996Nd4+Oj3GZgeCu4JIehu6vy5jMpdCa6Y4E1NBfnCW7ZsecM787OKr33taxw/fpy//Mu/ZOfOwPT3gx/8IB/+8If5zGc+wz333EM8/joqzOuoo4465omZ3v04M+MkpCSpVBmdUECiJC3ycrOw+RQg2/s43ugyvM6zgbCKlpijy7Cna9ebzQf5CFleRdNs30R8SQ+504+VRT+Sw0/gZMbxEgNlBARP0XiyKF5x+QotBaJi0F+aL5j/WUu2D2jycyxJGbxrIDB59gQ0eZp3Dbg83n15gmdHW2ctLor4imkjPwAM0ksdbBoJatubXY+kaVQZnTe5fhi9q24019VL7NJ1lHnjAdrwEMpAaCsQVhQ+wo0RvXQdGcBLDCIErFl1jiNH16KUKKpDAut7pmg4cWdA6KSDVDZaqLCdMPWTgzXq8n585A6Kkamfd+Tr8eaCHW0lMzNILQ3BSvuOUu+93PAwS5qaWbRpI4eGLjE5lQwMpsM27GyOZWfO0T42zi3ZVwNxFuVjSYUjg/s5YnhIGdC9O1b10RlN8VpfM0qXqx0GqZsO+aq6t685y45l/RgSzKkeYpeuQyuJ1MVh66FMjoen0nhaY0BZ4qcq+fl02gFm2Jt2cMOrkNUAmiiBGueDUymMqVSZ9UKLadBgRvnesY2M+4o2Q3JbzCYTVVzMuKBMNBqlAeEzvDiYcJJaBjkGWqCEIrNoHI4H/ZlsX8nFNXcHf2if8YYWnrz5Ho7/+aeJjA0z1XQdt25ZSPL0s1V+epXI+ypqNxecVanirFZoz8WZGLws2Xvt0ADfe/gwWmvGnSyvEVhZyJZBxpb28o1IDkFL4e5xoinOrThIn3eMx494yNcEqlD7LOhs6OBj172XmxZfz4HBCb57cpCxjDMvH7l8eqYGHPcs2dxzmKFiKeFn5wMmgrvG0hxxbuSBxde/pYncbLhigrdo0SLOnz9PX18f119fv6AA//zP/8yiRYsK5A7Atm1+5Vd+hT/4gz/gmWee4V3vetdPsId11FHHWwGFmowNHdwSNflBxsHXmnxiIwJuiRTJSN46YTbkU4Cc5kH89j5QBujAW81v78PJzP6ing8CK4fyVEjuLk9rz13459rUTQpSYvbUq4JgiAQlDGzfxlTlggY6H52q4AJaVJODreplFoxsBYqDDUUQSbt51J2jHwFaujczW9KgrvqtfCC+YzzN7q6mKqPzt41ksHtaycwMUAkvMYiTOk9kfGVJWz6gEDpIs5S2ifLD44UeeV5iEK1hQfcYcIKTp5eTyUSJxx3WdU+wMrM6vEY+0osFbRtukHdW2k7LUMl5/PjJlufOXH6jtwjyKqtK5Ws/A0gjwoJVO6u2z3vvleIGKFPvdJ4bRR2cLqxfF9bsPde2hSm7iYSdBQRZzyQRdbh91Xk2dOcnIzRHL7SUtd9mzzDuFH0qHz+5gsdPruCGrjHujwaiRFoqHE9hIDGAjVGbmebz7BmPMZWOgZaUT2cE0MAzaaesgnezdZ53xg7RLmdwtSAuPQwULgbPZNfxx1MBoUqHbUWASd/nkZkM2xdOMLGml1EzOH+lBXY2Ti6SRvrlw2qhBRnbZsq9jag8xtCym8LlQW9M7aCFZGTpNlaO/SPdyWc5+awgYlvYts3E2CiPfO1vcPkylnBpTLSzftN19J06SmRygmuMFBYq/FhLqheFAK0gJH/azeEMn+PFb3yLA9nTpL04huFjR+Kk02F8VCqOE6SPy5ZB7JWHwCga0Zf+FAJ8ywkIV8XXezg1xl+/8H84MzHDC4PNOH6gmHoxmeFvDpxl54oZPnRN7ZKuvME5BAqaUntEtMZQGkfKIJIr4P1D08ix1Uy3/XwpX76RuGKC95u/+Zv85//8n/n85z/Ppk2bWLFittLRtwaSySRnzpzh3e9+d9W6TZuCWbVDhw7VCV4dddTxpiNPyADW2gGRey7rMaUUCUNyS8RibWR+6YRQTAFyek4EcSWdT60SaKFwuk+80adQBaV8pBA1K3t6jSVshRocoji8s1RA8lxpMxIbo1RX0m6N44ylg8KdPKTAbq3OuFgROUfc3UxOlItJKKDFm0vhLUBy7AQysq5GmqZPzhBYOPjaRCGRWmFIF4egdm7dNAg/y97OSEFFc8dIjtVJTc+qnZx59atVxzOnerAnl6GlD3igDIQ2AvNzQNgGSL9EnK7okQcUSN6C7jGsSDNKeUSPhYP+AgEOrrPwTbSZI/9BSCdOPoFOGmYoAAOzedrVteLfXOQjfAE5CyY57GgLi9fdd0V1VPlo4cTQYQYadzPFEdSrU4Xv3jUM896PXsPFzPcQ0ioTuvE9J5xMEHQmqlU3N3cMsndgKY4ut5l4ebidX+xuIFN23wTGDREhuNDXzrJQ4OUIikxVWJ6SJO3g903WeT7csJ+gVtenqcTj08Ln7dFjvD16DA1MqAb+Ob2NQ+4y0GC0DLC36yiWVHiimN6tohmQGqV9DFUytBYaOxfDJ0Za3YBMRqCt3F5Ga4UbbUJriRRBjDHnWUhDkXVcTDxsPDwdITk5wit7foBlR0BEORf1OdttMWkZtLg+WyckrruYtIgQ1znWe30sVOOg4YKzlO+lbuUCMkhl9U102qHwdA1nrmTLIPaqQ+XepxWYbcpGA0J7ZF3J9048RqLhg6RyZ8g6B1BqBikbeeTEVla2NlZF8h5+rY+LyeI0mFIzxMP0blMLLD+IE3pCsDJp8lhkAe9/745Z+/hWxxUTvJ07dzIyMsLnP/957rvvPt72trexZcsWFixYQGNj42X3v/feny8Z0qGhIbTW9PRUpyp1d3cDcOnSpR93t+qoo463IPKETLqKXu0XyZ2sTe4ul9aYTwFSdjoIzphF9Ud8I1j+ZiM8nKac5PlIhuzOoJ9NEbypbHGWuaReQwIpU/BCu2ai+zpuL2k6tiyBM1Ju8YPSxJYlqvshBNKewXIbcUsImoUP1gznv/IKbTuWVEckQ+TSo1gNLdjZNRVrDJr9LDMaIjo/8BW4wqRRBNdXGQ5rkyZrk+X1b77p0Nq9CSntMDpTRGR4XdiULv7UgDYCawoNvlea1CZKPPLK4XtZ0CBzUXSZeXqpsE3+b1m4L7qW3cboxf3ljVWSvDeJ3M3fVOGtgfmkcl5xWzfXXj+8dy9ObqpMMElISSzWUxCGidqKrFOioqvh5p4LnJpqLwi55O+vcV+RkKIwFyEJvM1SvkIaHloptJYs1ILT+VTk8H+BwKJopwDwztghCGWNGsTsFg8CaJMpPtH4NFlt8fXUzRxfdBENuCG5y/fSkz6mkniGwkIjEThotBZ0XloTPr0Era/NgAySIRAC6Wm8qEF6YT45O+i5rzSZnIcRnrXQEPVzKBmkYnqOw2B7jNMLG9E6qFMbNU1+2AUrJnzaMpJpEedFay2rvH4OyHUcmlhAsRSzOm8ANLJlCHvF0QK5ExVbXE5EJ9haAwrHSzKTO002+xx5f1OlUmSyz/I/nocFzev4V9csYmtPKw+/1sdjZ8szSoSwycgcGhEQ+tDNpcVT2EaOeItmzZrK52kdeVwxwSv1tPM8j3379rFv37557SuE+LkjeMlkEqBmjV00NMrMZH78al511FHHWw95QnZuNMMPwiCKCSSV4geZYDCfJ3lCmkTitclIHnnZd+FZFSqaGgzvdalozhdpxyRuewW5/jyk1CxfGLzCOu5cweB3XqM047IyqCdNiwlVTnAz58tTNudaLgyDQx1Z1g0kgjRJgoGmj8Gxzhw3jOYC43aoSfI0GjNVaV0QqGhuH/L43qIE2ZLooCF8bhCHg7OYZUQl0EwMHcaw4qgKLzLDaSiSMSURJeeulIPwTZAyqKnMp7N29dY8jvIdhLRQdhpREG7RaOkilF3SR1nWTmPLMkb7qscH0oyg/Hw11BsNgTQsIrF66tZPCnkSp5SHEAZa+whEmX/aNTM/5NApha9kQPi1RirF+vhgleLnJVrpYCUWeRIU3K8njTPEOidwM404Uz20Cc2MhqGSolqJwjA0DcogFd5u7XIGh/nZOuQRFS6faHyaP412YGrNjMiT07yMkyauLbR2SKh4IX1TInCXn2HDZAMbMkFaYib0zIxIUTiX5IRPr72VSSf4voy3KC51S3IRm2hOs3TQZcGYjxIC326i19/MSNtxEuNNdA2uxnZiOHaa8UUnGWwb5/zhDUznghT2PeYafL9IegE2WxdY3XmYAx0waRk0u4q7xjI80R5nXMqwpq4WKqfaZoOLlG3knFeCz6zwbAvuh5xzgLHMCr786nnOTMxUkTvHPYvWxQktBWSkIKI1d42lcQyrrlJ/GVwxwassXH6rFDLPhvz51/LcyS/7Sfjx1FFHHW89tNx2P8Pf/Z88JS3wJIYpAVGwSHgu57I2YiGkiTFL/U0p8sX4Yye/V3O9flMG6OXIuZLGaKkmXwABLG2+AASEalAX7RNKt8kJaPQ0d/a7NETLa/ac0Yro3RzLDa+ZJ5qXkE17bJtQmDoQWnmpVbK3eTHbJkD7qqbFQh7Side4ZpqBWCM6PwAKT9TXBkO0s5KBUMjERWiTIjH0kMoOa6uqJRJLVTRFacoYGm36aC9IuRVIfDsT+t8Nlm1Xqj6jlVcwRi8ItwjQwkObDtK3CuqmgRiOZOD0boRhYllRfN8JUjW1KqZsvmkQl72363jzMJu6Z355a/cm7r5vE0tOnmTfvn2MDwwQyeZYdD6o4zu9bjVKykJ0d5AJ4AzrWEycCGlyHOcSg2ISEFjxFIhBvGQHS32LZuFxCU1OS6KGy2I7jco2c1ab+MCYaqRFpvCvkOQBtLo+k6Ys1jWHlDOI2Cn8bAMXLi7HWnE02EELBuQ03+zYg4FBp9fEXVObuDZTXoPWYEiub1zP/ngLx+J99DdcQIc1s6mY5rWVUU6v3kAr65k6Oc3EmKQ7c4mFfdeCBiV8LCdK97lNXFp2mNy1z2LnYiwcauaX3eO0yTRHGmyeaGtkwpIM+4rzhsTQYGnFjAmPdMdxpYAaNcjlyD+P5yB6GtRwM7rlImgJhkYYAq09wEWpHMnUP+LYW3nsbHUqaM45gKUUhlaF2jsBxHzFplSO8UXdbK5H7+bEFRO8z3zmM29GP35mkY/c1YrSZbPB7MN8UlfrqKOOOt4ICAQTpsTUGuH6ICXaNJBaM6UUUlpE4h1lA6650Lh+O5z9F05kfZ5zcsWUTzvCWnsW7fWrRKn/Ul5Fs7XRnT3ZrjSqp14BGXjRlW4f0UGJnSdgx0C5wfKchSQViAyvY0VMs2VK4cpAsU8CW6YUA7GQDEkRGLjXQDTeiZJuKEySh0Boi4Nt5XVH+eMfYR23WqfQkRw4Fro0nUwLlJWpSM0snnm5imZxuTa8IGIifUAwveHRWS5CtbWC1zJIloOhLUKsgtBVQCmc7ARCBpFDI1QJVV7t6/P6kBfNz4dw39oTzz8NmE9K6Jo1a1izZg3Pve+D5SuOn+LSsiWkY9EgygwMikkGmZy1LSuWwooFEzMNwCIovw8SY1jZRs4n29id3cj98ReICA8lwmmhed4yd4+n+HZXM4ZSKCmLqaDKIKc1zsVVWItOBxtrCcIHI6wd0z7jMs2/tL3A+UGX14baC+qceeXOOzILOJx4BdP3cUt9KLXG8Y+xeLCJc2MtrOg4TMPA6iB4Hj4HtdAIJejqX4PT0k8u7jK4Ypo/pwFoQACW0thaM2VV2LXM/xKUoHTirZzsaYCWPrSSCNMJHkPFZAEAlEqRzT4LWmNboZ5HPjDiTxFRwbPf8otCL1kpUdJAdzZccW/farhigveBD3zgzejHzywWL14MBLV4lRgcDGZDa9Xn1VFHHXVcCR5+rY8nzo/iKo0lBXcv66hSIpvcs4snum/DsS6QValiWowOKk6kaOCvnQ+CA/Jlhw+N/XfWDB24rCHzybTgB14W0MWUz2wW4UW5vL33/FBQANWAaeMlxxh99IvIDZ3z2t/gefywN0JrdEnmhARsDWLm8mqXsyEuV3HrSFgTV6GieeuoB6YFSmM21zYCX7BqJ8MvDdZc5+drBivK03wMhDDIdr6G1bcFozASnS2lsrizlxgkE5Ixww9Ilja8MCUTQKCs+dZQFjvotQwWLRBmI1JKYzg+dnNrWS2W8nK1t6+CQYn6yzygsSJNxcMr7001Yq7jzUX72DjtY+MAxJcv5/r/8TkAnn76aV555RV8f573RkX2VFd0hs6QBB72lnON34fUCh+FNYuibiU2phwYnuaJtgZGrEDOViBQuTjuxVWoyR7EyiOQ9/ozin1tnuim69I6bCfKkJUjF4ozDXg+X5lK0ZrM8N6mGGNmElfUOkfNi60Hkcn1jC3ro/XgtaiK7bTQ2E6cnJQ19gZHCpwaU2ZznXaeGHpCFJ59tfpWlbpp+Ahjrs8qyGfIua8UCZ4OagwbfJ+kIcOqXoiE3netno9UCmE2zdFuHXAVBK+OcjQ2NrJixQoOHz5cte7QoUNA3TOwjjrqeH2oLEB3lS78XUryHousYX/7NiJuO9ncc2jtQ5hMJBBE7K3hloF307faboe22zG1x7YXD/JhgohdqXeRRONlHTA1RjhgKqZ8OnzkdZxX8sQoZ588jUy5mLn/g8ZD2BYxIcAw0b6HUKER+mWgjbVloxRRST5eZ6p8244lpB45Rk6UD5wUQdqWFgaIYLtaaO3exJieQkkvHPwJhBC42sfQAckrWIyFXTfw0donGRliOtrLSr0Mw4nj5w3FE4OzRzcJSJ6XGCz4iEG+7WAvp+cEjm9iG3NFYgVSWiAEqtItexZVTKGhMWnQvr28FqvmMFLrImUNPyPTihbqdnwvh1aXS+ksb1cII/QHrONnAcKy0G7tyZclH7m/8Psdd9zBHXfcAQRk76WXXrrCAxUjVQNmOwNme2EyqMcfZ6t3gQizTHqU3GIbU05A9IDDDTZPtifotzOYi04HceRcDGFng+h5SBybx7tZdH4TeW88y7NYavhcWnqUqaaAzGZMj3/ywRe1vo+hQm0kQ/fyl5iSBo6dxnKiZbYuQgucN1j8ylIaU8NNU2n21FAYLqI6lb40slea9B3AASyUKrc0cZwz+EIVWivU36kggurbJms2v/9qT+ctg2qK/zrhOA779+9/S9Xmvec97+HcuXM88cQThWWO4/Dggw/S1tbG7bffPsfeddRRRx1z44nzo0BRr1BULM/jpbaAwNnWCqKRW5CyAfCRsoFo9NaSWdLy9j1hsr9tG7sOnuDA4AQPHr7ARNbB9X1SnmJSOihlkNaaGa1Ja41SBhPC4c/2HLuqc0qeGOXiD06g0y6uAEtNYSmB7yoyedsBaWAOJ2efXQ4JwciTe1H6lsscsUYr5iz0qMbyprUdCDOJRfngy8JDminMpghdO1fPWn8HYLU0II0IQhpBUpQQWIbBxvGKAVl4+A2cQCAYS1q0rzhHas1TTF/7fVJrnqqol5sbXmKQzKKDKCuL0AbaypJddBCvZYio2YM51UPDyTtpPnovDSfvxJzqwZrqoeHEnTQdvZfE+V9gQfMHELWIdg3iHO+bpGfb/bR2b2Lphg9iRxJoVT2A11qXDf7y44byfWaXahcyX5NY3get/SoD7zp+etFy/XU1l8dXr6ry48vjjjvu4L3vfS+dnZ1EIhE6O+cX6YdQXTcke1IIGqbS7F/1Lr5wzW/x0HUf49QNW0l3JsqfGNW3GUcabf65q5lJw0QoibCz2CuOorLRwBvSKkasu/rXhOmUCqQO0yo1XYOrEJEsIpJF4uPb7izPu+LSSctAA8MLTwQRRCWCktjQIHN44RtrX9Pu+nxgeJp7x1K0uOoK9Wl1qB86G1wEDrn0N3Hcs8Ee7gsYWhNViqKUDcSUYmPK4aS9sB6dnwfmFcFTSvHQQw/xta99jc985jNs3rx51m0PHjzIxz/+cTo6OviN3/gNPvrRj2IYV17I+rOEj3/843znO9/hd3/3d3nggQdYsGAB3/72tzl27Bj/7b/9t4KaZh111FHH1cBVtV/5lcs9aRTGAba1oqSuofDfnHihcR0XTg4GWZJSktIh0RI2OVJ5XQ0UkBM+NlHOJa+upmp8Xx+Or1AhQfBlAqmS2EqQ8RUx0wDl440aeF0SU5YPLDSCSDiIn3plnEA4vXqOuAyiXDxFGhJVlJcLtwmWV2Kmdz/nxRlWsAFT+4VjCeB85BL3/Gq1F2olKm0ZtArIyyJznEM6EkQB89E74bPIzrF0wweZnv4afemNvGKsY9o0afY8blC9LGs8gjQiKP/yqY/5aB4Ewl9CWkFd4DkPa+i6oD/CR7pRYn1bESJQHhURC53RpF5wsXoW4rUMB3V/enbiZZfUIZbWYr38w98rbjTbJHBOl+3zyo/+r9lLJZWHlHYQXayh2FjHzwZywyNgmeCWTJ5YJlzGXzJfw5fHV7/6VUZGRmbd3jAMrr/++kIUMI9XPvUfaH3xSV7ZdBMXZA99/gLofjtd00e4eXoPayIlEaaSx8vj7Y1oQyClIqIg65ogXYzWkSBKL3Uhgmc78VnSKYs1ucJQc0xnVCPZNsQlDtHVvxbbiePYaYYXniDZVl0ydGUophH0OD6/dSlJyojjC493jqT4bncjrtC4NdJAZ0dI8gpfZlHM/AZQSXCeYJts5WmVxC9Jz4wpjaE12fB4x52FvOd1nuFbAZcleP39/fy7f/fveO211wB4+eWX5yR4zz//PFprRkdH+cxnPsP3vvc9vvCFLxQ84X4e0dDQwNe+9jU+97nP8dBDD+E4DqtWreKv/uqveMc73vGT7l4dddTxMw5Lipokz6qIqFhS4ipVRVjmQ+5A4wmTsYxT1a5TkjaoK5ZfrVGCN50tG8zkzO3EnB8htI9WBtr3QMDj3XdipD1uiR/BkLroO4XJqnX3BX1SMcAlqNua47WmTwDvLPxpNkfxkrnAFy6/ia8wmyJVu07u2UVvrhs3epKVagmmF8cz05yRfZzJZJiPYHfm/BSYEnwVRqsCm4QXYz3Y0gel8FUQVZCWxZHIzXyw+xpGvA3ssTegAUNpkobB08a13DkDd926lTOvPkgluRWomvPmAo1hxQskaOjl8+GK/KehEdoCDb7OIlwHw4yANrAH1+A0Xai4ptX3pTQsJvfsKqvpnBgqL2OYjbR5z07CfcW/lZp7kL98U5AkPJtiYx0//cgND2M2NJYpjmutyQ0PX1E7O3bsYPfu3WitkVKilEIIwc6dO+f0S1vykftx/vqLLL94BmEYaN/Hn5kBrRluWMqhjavYEHkNw/VQtkl6QYJscwNjyXQh2G8KP5hgkPlZMKsYfJbuvNIpr4Tc5ZFsG3qDCF3lr0HIMtP6Th5asZ771vQgnv0qW47vwRxRPNFaWoMIDZ5i0rqSYI4uPAQU4CDQaB7PjBeW5ycTs1JgKWj3fDTQ3Nz8us72rYI5Cd7IyAi//Mu/zMDAQCF14sKFC3PtwooVK7j++ut55ZVXAHj11Vd54IEH+PrXv05r608mZeK3fuu3ePzxx/na177Gtm3b5tz26NGj/N3f/R0vvPACk5OTtLa2snXrVn71V3+VrVu3zrpfZ2cnn/3sZ9/ortdRRx11cPeyDh47O1I1KL57WUfN7S7L52aRTDMltMdsJrIOZlnqnQvCAjyKRMIMll8lzOYocjxVGNR41hpcvx/LP0ijn0W7Fk3b7uVkbj0ArTNJNtmnEZZAu5rXnOXsCAfxQmbQfgNzkztArC1b1LZjCcO7T6H9sM5P6Vnr6LypYRQ9nMjO/L/t3Xl8VOXd9/HPOWdmsgMJYYksiqyyiCAVUAHFUlrqjoitRbSPdx/tyy7WurS1Pm639bZV71btfdetLkWsFtxAVMQNq+AGiKAiUdmEJEAgIWEyyznPHyczmSQzyUzIOnzfr5cv45kzk2vGk2S+c13X78cm3A88I92TjWbLitc+RoUf02cRDvpri6u7H/BXeDyY+DEMByvSIs8Os7v2vd8H5gg33EVm92r37H1gHsO5fcbgzehOsGYfDf+nevf3JaN0OGYgB9tXFa146cvoHg1BZcHdOI32/NRWsgv6AINwMIzhcTCczJjb4z9nI2iDaRHaX//N+c7i5fXuF/cRHPB0797gYNNLNGNL70vXlNG7NzV79mB46n5+nXCYjN69U3qcSIh79913qaiooFu3bkyePLnZZtiRZaDbnnyamtJSMnr3pse3p7Nr2cv07b0bz1CHym79iPxcOA5gW2QEs6k2g2B6cCwDw7TdABe5sI2wW2TFcCg94gv6bRmDYRtutUsnspzyi5SeY8sl+JlNsDfZNExOH3YaPzouprDieb/gwGcTyVz5NGN2fYMTDoMdjv5F+K8jC1IMeXVsnNo9i0THGbt8O2ga7v47j4dTTjmlRd/jcNNkwPvd737HN998A7iFQq655hqOP77pmmmnn346p59+Ohs2bOCGG25gw4YNfP3119x8883cfffdrTfyJC1YsIAVK1Ykde6yZcv49a9/TShU98eutLSUl156iVdeeYWrrrqKSy+9tK2GKiISV6SQSnNVNCP//fJXZRxlbGOC+Ql5VFFJDh/Yo/na6Z946sQwOO2o3hydn8vj67cSsm08BoQcMM1cbLsKw6ibr3Mcd2/fUXktW4JeMHkA1S9tcpdpAr7QF3jDGwmaPgyvh0wTDnz8GkN7u3+mvrVtFYZbCxQLm29RxoHPjid3xCS6jytg3wdNV2tz1S+tHdkvt/fdbYQq/Hi6ZVIweUDcfXSe7r1x9hv0Jb9BP67t7HKSK+gRmTF0YuuFOwbdQiEqLAPLqH2r5DiEDci191Fesp4Kj4XVYAbXdKDC476ZGjDizNp+eJHm4Qae/X3dnnXgNlcPZpG54zj8ADEF6KwsCPnrunrVvV6xm44MnJCD7Q2A4QEncVGWjIoA2GE83eu/OXeLnsRWwYlToCXk4D2h4QfBicNkrwHN7buUrmDABXMo/uv/YodC0Rk0w6hfYCVZDZdtJqtw8qRG+/3Mo3MoK/83ZJi1PxLuz0UQD7ZpMqmbwYqDIRwj7C5ZtsJEf4StIJh1P1MVtbNsvb8ZGrOc8ovocVfiaz05cWbiHNyyv2bMDL/R+F4OYBkmYcfGa3r5+eRLmNh/XKPvkDtiUr2Z+W+ee4zqdc+D6fD9PQdY0LfhBzSpcOI+fRMwbYfRVQE2Fw5npvrfJSVhwPvwww956623MAyDWbNmcccdd6S0l27UqFEsXLiQyy67jHfeeYeXXnqJn/zkJxxzzDGtMvBkPP3009xyyy1Jnfvxxx9zzTXXEAqFmDBhAr/61a8YNGgQX3/9Nf/93//N6tWr+dOf/sSQIUP06YGItLvzjhnQKNAlOu+0gn1s3bimthJhJtlOgO+H3yPr66V8ZfdnZeFEdnvzo82EvabZKDBGqmhm4BD0jeeg/+1GVTkHdJ/E76aMbNHzyRtWSH/gq9eL8VYFsUKrCZq4VTRrg4sTDnFa2b8J2LYb7mrbPoSx8BKOLgPsdeqJ7PtwZRPvjeK/sYmMo6nCKBE9psyh75INjOXo2jHYZOKr/e8vk3rOkRlDw7ZwDDv6ifXx4c94g6GEMTEcBxsLw3E4no/ZWWzTLTiFSo8RncED9z1bt6D7BjJeY2nvl8diOyaGHZkSdHDMMBmlIzjY8x22blwEQM6Ebux/ex84kZCXeF+NYRiNw12DoFaT5yWnxH29Yvky8zl4YGeDuxp1VTSDYPqysM2aBvfrEbcipmH6GDC88+3EidfLMVH7EXHFm0EbcMGchAVW2kuVZwtWVhZhp6a2ChBgOPicINTYjLcgY2Upb43PpTLHwnDAMg1CgGHW9W4zcH+qKgtKGgS6+up29bYk5Blxf79hAJaDx/BgO2F3pgzwYmDiUFP73UwMsr1ZgMFPvvXDuOEuniPOuogDw4dRuuR/GX2gkh6hMPs91iHF1IY8tuMuz3Tg6OmXtOIjp7eEAe+5554DoKioiNtuu61FhVJ8Ph933nknM2fOpLKykkWLFnH99de3fLRJCgQC3H777SxYsCDp+/z5z38mEAgwdOhQHn74YTIy3D0YBQUFPPTQQ1x88cV88MEH3HHHHUydOhUzpc2lIiLtZ2fxchwcTNP9FW8YHkIHqzjYK5tjvt7KMdvcpfZOOIQnryf9/+POevcf3zef8X1jZ1KOY/X2o/nXhhcpq9pDr5xenDdqVtJvAhLJG1bIsbXh6us//Q08GfX24WBa9AxVEAgGMewQJg42JiGPj6yMzAbLABMtQar7Mt7eumTljpjE8CX7gUj3JmqXWRoMp39SjxEJkmUrNxGqqMH2+Qkd8RX9Mr5iqlHOB84YKskhjyqO4xP6OzsI+DOZUHaQN4qyCdd+EF9bLI8JZQejj92wsfSmVW9i2LF/pwwM24NRk+MWJDE9tcsmIXykD9/OwRiBTGxvdTSAGnakSqUDpo1R20+vkZiQ5/gsCr93WaNQUzR4Bl+ueyzufQ3Am9eNUNCPY4dZ+9rvo3vp+g8/g68/+Sd2OEDkLbBp+Thq9NykXvP2lKiXI6CQ14x4M2gdLeAvx/RlYAfcaq7RzzFM9x+nMsSQ7QFWj3EI1thYGVb05kDt7x0L8BpgYRByHKINPxpOVoU9YFvucmlP/dUIRuQOjdT9ckvUOTITsE0PDgaZnkwyDYsDwSoswMTEMUxCjo3X9FCQnd+i3+uRWb0Dn63i7HcX8pTppzpBaxufbRNI8f1z0DSYvqeKg4aPMZq9S1rCgLd27VoMw+D888+Php2WyM/P55xzzuHRRx/lww8/bPHjJGv58uX88Y9/ZMsWd+P4qFGj2LBhQ5P3KS4u5u233wbg8ssvb/R8vV4vV199NXPnzqW4uJiPPvqo2b18IiIdJeAvxzDrvxl3HBvb1+CDujh7pRKZ2H/cIQe6pni69yZUuQesmD9LdhgjIwdPYA9uCU8Dy3GwwjU4QfD26Au4LReA+Bmv9iN0w2NQeMqgQxpjNhmEG+wJc3DIJvm/kZEZw/KS9ewsXk7IX05NpcUR5k7OsXbUK4xiGAa+zHx6HNzNd3b25Z1eXiq8Jt2CNieWBck+uDvxN2rqI3THrtcrzijwUtPT/TocDpC1cRJGMBPHW7fH0jIyCFkViZdoxgTzcmM3uQ1uzu8zBl9mfsL+dG64C2BaPgzTS6BmP1s3LmLgyNkcNXpulyiism/l0+5lGrmGa3s5Niw4I12DLzOfQM1+TE8Gdqim/l5bwyT4gfuBT0WOhSfkuMnOAS/u7mQHyIr5eTZxg5jHLdVLTbQaL+AJQb0WLDHLph2gtp9cbA0Us/Y2x3HwBmwsAwK+SI9N8DlgBR0y87IJ2EEeOfcuAFZvXxP9sK4op2erfFgHbtCbNWISPbev4a63/1bvV5AJ+Gz3GUwpr+bt/OykZ/ks22F0dYDVnuF0vp/6zithwNu5011K0RpNuidNmsSjjz7Kjh07DvmxmlJRUcEVV1wBQHZ2Nr/+9a8ZMmQIF110UZP3W7lyJeCW0E3Us27s2LH07NmTPXv2sGLFCgU8Eem0Im9MDKPuV7xhmJiBBm/M4+yVSiQSSNrqTXaPKXPYvex/3eqZptsiobZVHHh8EKypWwrogBMMRJcB7n7jq9pHidmkX+/dg0GfWSOSWorZlAqzilw7GyfmwQ0MKsyqJu4VX+yM24N/uoWsbjaD+1dhGA6OE8lLbqVL852dmJVhhlXW/4zebhSjYiRqQ+AAhlmvV5y/eg+OE3L3ERkmNb03kbnjWLDdkGmaPgzLQ+iIrW64i33sOEUaSre8CdBoCWX/4WfU7hWM07jcCYNhYduh2tk611frn2DQmB8y8sRfJX6unURof6l7rcZK4UMU6VyKBs9wlzIbZkw7EgdfZj79x57B168+QjUH6FYV5kCWiRWztTYyo1aDQ9ipv1TTwsFwQoTDDiETiF1mEP3SxkNt5DPqFk7HfrzkASwDjtlYzdYjfFTkWFhhB9N28IXcglGG5SHshOmV0zN6v7b+sG5i/3EU2Sbl2EQ+ZnSAkOPQPezw3b1VDKwJsrQwl32exKsDDdwm6z1DYWrwUJ7br83GnI4SzpMePOgu/WiNcqSFhe4f1erq6mbOPHSWZXHWWWexdOlSLrzwwqTuE2kBMWDAAPLy8uKeYxgGI0a41dyamxEUEelIRYNnYOD2BnMcB9sOYfoyyCqrxgm7xyJtCBrulYqnvGQ9WzcuckNjzOxKw9L3hyJ3xCQKv3cZnryeEArgyetJ4fcuw/ZXYfoyMTKy3OAHYJpgeaKzIqHKZvrAmSQMd5WbdrPl0TUU3/MuWx5dUzcbGMeK7muxa/cfghvubGxWdF+b8vONNTrLz96KDIq35xAIWpimQSBoYZSa5PcZg0X8QjaJjgPYmVW11THratE5Rgg7swrT9ETbJOT1HIYT29fOsQn1+AbfuBCZBQVYVhbe7jn0njGEcLedjYNjgiBZtu3fjY7l9xmDx5dDvM1CjhN2Q16D/nqOHWr1a62teLr3dj+YiJXChyjSueT3GcPAkbPxZXTHMCArty9Hj72IMVN/S36fMW4bB8Ng4DcBanwmVThU487eeYHBuCHPcRwM28GLG9CCDhCwyaix8QVs6vUFqPtXbCkmPDSuJxsERodhyroqLlxWzuX/2s1336nAsiFsuj+aTqYXMDhv1Ky2eZESOOfoaZi1Y7Rxg6ppmMwe9m2G/m4RZ/1yIff/6AGmhcZGf5825LUdPA6csreadd7BfOc7yTSjkYiEM3g5OTlUVFRQWVl5yN/E73ebnrZ1w++srCxeeeUV+vdPbj9ERGRmsbn7FRUVAbB9+/aWDVBEpB3EK7pRNHgG3v5VLSoAEW9Pn22H2Fm8vFVn8RpWaAN32VsVlRzsU4jtNTGDNlklVeQQ/8O4OJtbwN7Pgc9WNXrsyk27KV2+ubaEnEmossb9b+IHwkp7D+v4imMYEK2i+SnbqLT3tPxJA6NPO4Pw0if4tLI3aysLyCbAMZQy6vs/jJ7TXOeLhpwjSzA2H1lbsbNucVdN78/IyOpJ0eAZePYXUb3iG/Kqvx/9BnZGFYG+mzl4xAZGzp9Z7zHDX1a5rSSsBqOpm3KsO2THr7QZDh2snQ3xx7097nPBafVrrS0kmoVO5kMU6Zwa7m2NldG7Nx+HvmHj4CyskO025zYdghgc5zH5KmSTEbKxQg5mZib2wRpsj0HIcludmNQWtwQyQhDwGtHVAZEecB7ckBhs8DMWeTf9tT/MiTFjGrI9AFSwekwOlbke+nbr3WpLMFMxbZK7R/aZL99kr2FT4Jicc/S06PGIi06YQ/83C1iRsZp9nmoy7DAG4DdN8kNhpuz1g3kME865oEXVUQ9nCQPekUceyfr16/nss8+YNOnQ1o5HZsjautm51+tNOdwBlJe7ewISzd5FRG6vqKhIfXAiIu0o7huTPi0r9hBvT1/sHq62ZI0/kaqSd9w3PjaEPQZV/fLo1qfubY2RYeH4a2dOGk0oBTCC/6ZsaWmj57733W21e6ZqF7NYBk7YZu+72+IGvKIDvSkx9lHCvkbHD0XuiEmMBY6sF75/GDNek015Ju/08rLfa9K9dg/esMrEPeL6nvAtdgTfwrPzaMxAplvQpehLBp70HfL7jKkLt34fYEVfNzOQQ+b2MdQYjVeqmDUhwl4LM+RgGzQOeklwq2nuSuk+7XWtHarI/y9V0Tw8DLhgDg+sexBwyAgBIffnMWwZfLkvSEWuB69j4snNwvT6CAZD+MI2AQPyaqAiy6RbtUMGJna3bCzbpjp4sDbkufvovA6M3VHDR0f4AAcTA5/hBkQnaLPf2/hncMj2AEO2BzjinLMYNLPpLUptadqkuY0CXUN5wwqZzmkc9+4wAqXV0f6A3vyshC1rJDkJA97xxx/Pxx9/zLJly7j44osP6ZssXboUwzDatUVCKmpq3OU9zc0wRoqvRM4XETkcxNvTF7uHqy2V12zB8GViBNz+cQYm+DIor9lCUe05Rm0BgrjCn2DaxTh+2L3iMQpPq3vDE6rwg9Vgp4JpuMfjCNle6j5jj3xv93hSz6WJfYybegznhRGXsudggJ5ZPs7o0ZfxtffblGfxcpEPBwfLdqjwGLxclAEESPSZdn6fMXCSO/vqr/1+/WK+XzTcOg32wNgmjmHjKxnW6DFzKy0qCmq7Ozjg2I7bID6u+DtAElbTTKTBfsF42np/aCrizUJLeiqcPInK4kewaoMdhhtOTMegMs9LUWF/9laXR1c+WFmZhKqrya9yuOjfoWi/v4r53+PJyg+wTJNMw0ONHcQxHHIPhJn60QGGbA+w5Xv5dfv8atkmdDuY+EOe0hWvkTd8WKerTtpQsq1qJDUJ9+DNmuWu1/34449ZsmRJi7/Byy+/zLp16wCYPn16ix+nLUVaQBhxNouLiBzu4u3pi+zhamsBfzmmJwMrpzue3HysnO6Ynox6Mzp2TcxywIa/xq3R2OZgACo/eLHeTZ5ume6Sw1i24x6Py6kNRXX/uGmv+XpwTe1jfOuztTyy5nPKKvdhhKrZU32Qx9dv5aNd7nN8p5fHDXdOtK0VDg7v9Er4GS3ghryRJ/6K46bfwsgTf1Uv9IQq/GAabmCux01vVjCHhvpOmEPON5WYwTCYYAXC7tdGw8ewyMqNv2InUk0zWbH7BeNpj/2hIokUZhe4/URre4qCgW1AYVZ+7b43g1Dk96Zl4snKZMrOTJxAgIyePRn808uY8e25/ORbP6QgOx/T6+WIjALOWgc/fqHcXXJpGExcXwUY7t463D12EDnemGFZOI7bW1AOTwn/OowZM4ZJkyaxatUqfvvb35Kbm5tyg++PPvqI3/3udxiGwRFHHNFpN0hmZWUBdXsFE0l2pk9EJJ0k2tPXHrMkqc8eNu6V4FiTwC7GCQXrHY80HnfCtjsTZbsJqmBy/IbyWU6Ag4Yv7vHmJNrHuO2z51lWfSK2k4ll1AbIsJ8wmbzwxS7G981nv9fEahBETQf2e+uCVaqzWJ5umW5xGtPAsOt6+2E4WGYG3u6NA17uiEn0o/4SRGv8iZRWrHd7AhoWjhNuNpCFQsmtgjEMK7pfMNFzaa/9oSLxXHDCHP727qOEa2owQjaOx8STkcEFJ8yJ7nur6x9a25JgTuP9cI0qW57r/mvNL67i4K5dDNnuJ7K3riLHoltVmInrq9wAaJpgx8zkGQZmViaGZbmFYOSw1OTHfzfccAOzZ8/G7/dzxRVXcPbZZ/N//+//ZcCA+H/8Inbs2MHjjz/OP/7xD0KhEKZpctNNN+HxNP1pY0eJ7K1rrqBMZO9dfn7bL0sSEelMmio20JYipcptO5QwQHjyMghVxAsNDm6t/+4AGJ76Sykjy4L2vruNUIUfT7fMJvd9jM+qYpXfg40ZU/bcZnxW820SEu1jDNbsp8LJxoNbXIDanuFGuIY9B93VJT0Mmz2mgW24swOmA6bj0NNw39RFZrEc3BYLBw/s4st1j7nl3IefEff/WyTcRoJttDKox4NhGQlDbjA/h4pR/Qj4s90g2X8YAxmWVLiMjNMOHYzzyNFXhazcvkl/gNCR+0NFJvYfB5PrQlzvBn3lDrUlwYAL5vD5HXcCdXvrYhleL8Ou+iWb7vxvnGAQw7IwszIxvT7sUIiM3qrgerhqMnEdffTR3HXXXfz85z8nGAyyaNEiFi1axJAhQzj++OM54ogjyM/PJxAIUF5eTmlpKatXr2br1q2AWxrWNE1uvPFGTj755HZ5Qi0xaNAg3nvvvWjvv0R27XI3hkeqaYqISNtKZvaw8JRBlLz0BU6gttBKdBKvBjDBcRsS501oXCo8lf0f0WqX9KYaX7Ta5ejTftjsfRPNRAJ0M6qpdDKxnLqKl2EMemW5s4WDD3xKSd6o6P1sA2zDYHDlRuBb0Vksx7GjvboAAv59bh8vaBSWYsNtoDymuEGPxCE3Nkg2bEaeTJ+6yDjjL2l1/6dZnoyUet515P5QEWjbvnKFkyfxhdeLnaD2Q9Hps9w9dlf9kuK//q/74ZBlYYdCGIYbEOXw1OyU2qmnnsqjjz7Ktddey7Zt2wDYvHkzmzdvTngfp7YvTv/+/bn11lsPuQpnW4uUXt2yZQvV1dVkZ2c3OsdxnGg10JEjR7br+EREDmfhT9aQ9cF7ZIaCGB4v4YOFEBNYImGk9JXN2P4QkX1kOBlAENN5n26TzqpXYCWictPupGfwmq92mViimUhfZg+OP7iRN8PjCGNg1paSMXA4tZf7pm6zrzeWEyIcE2IsJ8Rmn/vpfMBfjuMQp/WA02SLgVSLGxzqcsjobJthNup3F2HbIda+9vuklwEnM8Mr0pVlFhXhL9mFfbD+z7eVl8egi93faZFCKtuefJqa0lIyevdmwAVzOn2BFWk7Sa2ZHD9+PEuXLuWpp57in//8J1988UXCcy3LYvz48Zx77rmcccYZnXZZZqxp06Zx6623EgwGWblyJTNnzmx0ztq1a9m7dy8AU6ZMae8hiogclnaveIyKVc9F/9sJBalY9RyBPd9wxPnXRY/7d2zC9tdQ92fNAMPA8GTSe9ZV8fvapdgHD1peJTHRTCRAYN0/cMwgH9pjqCSHPKr4luczCvfWAMdR7isgbJiAE52cDBsW5b4CAEwrk2DNvjjf1YguV2yNSpOHuhwyMttmWj7sUOMw6j6eWW92EBrPPsbqyP2hIhGrt69pvNeulWb1eowbyzfPfl3/oAF9vl2/cGHh5EkKdBKVdPry+Xz86Ec/4kc/+hG7du1i48aN7Nixg6qqKkzTpEePHgwcOJDRo0eTm5vblmNudQMHDmTcuHGsWbOGv/zlL5x88snk5NRtMA8Gg9x5p7sGetiwYUyePLmjhioiclhpWPkywv/F+9Hm5Qc+W8W+D8uAfOqW/zmAiRN2Eva1S7UP3qFKtI/RNC2O5huONneAYWJZGRimh4DfLQrjmG7pvEiB0EjIc0x33E1VgHacMKaVGXdpZWRMyTrU5ZCR2TYME9PKjDPjaGLbIexwAAwTw/AkNTvYUftDRcANd/e//wTg4DO97K0ur/1vWiXk7VuzDiMjEycYhHAYLAvD62XfmnVw8SE/vKSpFk2v9e3bl759+7b2WDrUb37zG+bOncvmzZuZN28e11xzDcOHD2fLli3cfffdvP/++xiGwZVXXql2CiIi7aRh5ctY+1Y+Te6ISexb+TTgliSvv7/LAaeJvnYVfndpYyDoVtA0DQyPmfD8tpKRXejObJl1f5JtO1QXnOwwGFbjnWu2u4cvHDqYIDA5hIM12EaNu9+vNjyaljflSpPbPl/CwQMlgE0YMEwvpuXFwCCv5zA2vnNXszNosbNt/uoywMC0vJhWBqFAJWDH5HMbxwnUnifSef1rw4uAg6f259djeAjZIf614cVWCXg1paVYmZkYtRXfwd02pAqZ0pTOv36ynYwdO5abbrqJG2+8kQ0bNjB//vxG51x33XWdtpefiEg6MjzehCEvtL805t8HcGfwGnwAZ5Cwr52Z4amrvmkAtoMTCGN1y2iVsTeUaJlkc/vICgLllHu7EzbdCp4mNpYdIj/oFo+JLn00MuMsfQzjREOTQ7j2dneGMLmllds+X0LpljfrHXPsIIblo+CICez95oOkZwcjs23r37qNgH8fdjiAbYcanBX5f9h8f0GRjlZWtQdfg6XLlmFRVrWnVR4/o3dvavbswYjZ8uSEw6qQKU1K2Oj8cDR37lz+9a9/cfrpp9O7d2+8Xi89evTg1FNP5ZFHHuHiiy/u6CGKiBxW4lW+BMDy4unuvsFx/72Nxl3OabLkv+PEBAgnwfFW0lRD7vw+Yxg4cja+jO44dhBfRncGjpwdDUinVH2K1wmTEQ6QE64mIxzA64Q5pcot/BVtRB/tL2fE/NNYOFxTb2llecl6Nr5zF2tf+z0b37mrUZPwsm3/jvu44XANlXs2YdtBwiE/oUAl4ZAf2w6ys3h5wtdi2+dLasNl7eucoOCK+x21YkY6t145PQnXVsSNCDtheuX0bJXHH3DBHAwD7FBtw3RVyJQkpP0M3sSJE/n888+TPn/UqFHR/XYiItKxCk+7iOqvPyG0q7juoGlhZmTSY4r7BqfHlDkcfGEXEMD9s1b72aVhgMdMuJ/OCYTBZ0LIiS7RxGPUtVtooLxkPds+e55gTWTmrEfCPnMNNVeBsql9ZJO/NZnwyldY2XMi+73d6B6sYMqe1Uye8h2gbqbsy3WPR5+3ZWUQrtdvLmb5quNEZwjLS9bz9Sf/dPe94XDwwC6+/uSf9R7Xic6wNWggb4eoqd6NbQeJBj/HwQ4HqKnenfA1LN2ysplXy3H36ZleMrJa502ySFs5b9Qs7n//CUJ2CMuwasOewXmjEnw4lSJVyJSWSPuAJyIiXdeBz1ZhV5SC6YFI0LDD+PqNaFDNMg+wqb8Pz8Dxh6nctDtuyPN0yyRUWYORVbeYxQnbePIaL9EsL1nP1+ufxLbrGg0H/OWNwlAih1KBMnfEJE4GRtdrzzCn3vPP7zOGrNy+9fbyhcM17uyYYbqVK8MBcGwM0xOdIVz/1m21vfPqZubscA3bP38h5jmZuK9tQ2ZtX7vGEh13Z/YSz9iZlg/TylC7A+kyIvvs2qqKJqhCpqROAU9ERDqtfSufxg4GowVFIvybP4xW0dy38mkwpuLuwYvlgGEkrIpZMHkApcs344Rtd/bOdktVxlvSubN4ee1MFcQufbTDgaSKlRxqBcpgfg4Vo/oR8Gfjy8wnJz+n0TkN9/Lh1I7TsbFDNW5BE9Nbb/lnwL8v7veLPe7xZhEKVjU6x+PNckOk+02Seh4Bf3nCPnimJ5uMzO5qdyBdTls2OxdpCQU8ERHptEL7S6F2+SCxFYwdO1pFM7S/FNNci203LoJleK2EVTEjoS+ZRuf19ozV4yQ1C3coDbkj+/eaK2TSuEplbIhysMNBCvtPTjk0OU6YeLN4oWA1lieLcKMiKeDxxm+X5MvMx1+9B8cJUv/1NDhq1HkKdCIirUBFVkREpNPydO8NdoPZHgcwzGgVzbpz4gQwJ3EVTXBD3pHzxzH4Z5M5cv64hPv13Jm2eAU/jKRm4ZorpNKU2P17hmFgmh4cnLiFTPL7jGHkib/C68uj8evhsK/k43pHvBndo7fV/RN73G2kHn9ZpUM4VF37df0CLInaCRUNnoFled3lqkbkLYhJ7yOnKtyJiLQSzeCJiEin1WPKHEoX31m3pM8BDDC8vmgVzR5T5rBzSQkQBHzUBRsTJxROWEUzFUWDZ8TswasLTqaVkfQ+sZY25G7J/r1EtzU8PmDEmbXPKzKjZmCaXnpnf5ctj64hVOEnwzwep9cGQj12JR6kYdTt9zMbFnipEzvLqKWYIiJtQwFPREQ6rdwRk/BPPIOK1S9EA4Th9WF4vNEqmrkjJmG89DZO6CBQgxvyTHcyyTISzsqlIhJAWlpF81D4MvP5tCqLD8IjqLCz6WZWM8H6jGNy4oeoVMQLXAXeaVS9F3TznmVCjZfMHePws6bpkBdl48tMXP0yEnQjfQG3bHiKncXLFfRERFqJAp6IiHRqhaddRGa/YexrooqkNz+HUKUHx3ZwQrZbMAWwsryJHjZlLZ2BO1S7C6bzxr6Dbt4iTKWdyRv2cfQqyGqVx2/4vLY8usbd8mi5SygN08CxIaN0ROKAF51htbHDAfJ6Dmvyeya7r1BERFKngCciIp3agc9WNRnuwK18uWvZJgjG7BVzwK5J3Cahq3i9LAPDCGMF3TYQJg621+T1sgymjjj0x4/MpEVm8Hz7TsDw1gVjy5NBKOjHDGQnfpBIZUzDxDA8VO7Z1OT3bK4voIiItJyKrIiISKd14LNV7F72v4Qq94DHR6hyD7uX/S8HPltV77y8YYV4srx1dVBMAzPDg2G6bRK6st1VfsygG+0MDAxMzKB7PBFvRo+kjkdm0gI1+6MzaSFPJU4oGD3HML1YZga2r5pEvL5cvBnd8PpysTwZzVYWDfjL3VYOMZLtCygiIk1TwBMRkU5r38qna5cLuhUkDcsDTu3xBuyaEGaWFyvHh5XlxfCYYBoJ2yR0Fd1rnEY1LO3a44nk9x2b1PGdxcsJh4OEQ35CgUrCIT+BPpuw7SBO2MZxHJywjWF5cI4swbR8ddUvDZPYypkRyfT382XmEw7VEAwcIFhTQTBwgHCoJum+gCIikpiWaIqIpLGGy++6WiGL0P5S8PjqHzStaIuEWJ5umYQqa8CKCRy202SbhK7gxN1BXurtIeQ40W50hmFwYlkw4X0q92zCtHzYdiimumX9pZOVm3ZjfjSc3EA2tq+amt6fEeqxi2C37dDfoXvVtHr9AUPdc9i6cSuG6Yn28nPCITCMlPv75fUcxsEDb9YdcGwcp/m9eyIi0jwFPBGRNJUOhSw83Xu7yzOtmD9XdjjaIiFWweQBlC7fjBO2wTTcQisGTbZJqNy0O6lG5+0hURgfQZjwrgDv9sygwmvSLWgzeU8NI0wr4WMF/OWYVgaWpy7cOk5dU/bKTbspXb4ZI5iJY4Qxgplk7jgOP+sI9dhJqEcJR543rsGjuq9LwzHGO9bc9RUvgIJB2bZ/s2fH6i75YYSISGehgCcikobKS9bz1foncOwQGCaWlYFpebtcIYseU+awe9n/ujNFpgV2GAyiLRIaMjwm4QMBADx5GRSeMihhYIuEnEg7gFBljfvf0O4hr6kwXtP7M4YVH8XwA0EwHHAMHANqBn8BnBj38XyZ+e6+OqPuz3zs0sm9726rbXsXWebpPm5G6XBCPXZixG3qnriSaKrXU8MAGg4HsEN+HAcMT1aX/DBCRKSzUMATEUkz0bBgh9wDjk04dBDbDmJ5srpUIYtItczmqmjGhjUzywu2gx0MN/nYkZATaQeAZeCEbfa+u63dA15TVSUDOeV4jvTj/WYQRiATx+cneMRXhHJ2Jny8osEz2LpxUcKlk6EKP1gmhmHiRFoc4GAGsjEtHxlZ8fvYtdaS34YB1A67odytwmmoqqaIyCFQwBMRSTM7i5cTCjYuLOLYIcKhg2Rm9+qAUbVc7ohJjQJdQ3vf3YYTcguCYDtgGhiW2WRYi4ScejqoKEvAX45h1u/ZF6kq6cvMJ2CUYBfsid5m2yF8GYkLksRrYB4bxiL7Fd0WCJGG6YZbKdMh7h66RLOMB/ZtoXLPppRCX8MAGumjZ1kZjZ6/iIikRgFPRCTNuG+K489eOXao2QIYXVGw/KDb4Bzcoo62g2OHCZYfTHifzlSUpakllc3NxiXSVGP2uv2KjrtUs3ZJZk3vz8GIvzwz3ixjKOindMtbWN6slPZ5NgygbuEWE9OqC7nJVOMUEZHG1CZBRCTNNPemOC2XvDnxv3bCDRsM1CmYPAAM6rUDaK4oS1spGjwDA7capeM4bpirDXH5fcYwcORsfBndcewgvozuDBw5+5D+P+YNK6T3jCGEPVUYWOALEDxqE0afKgzTYmfx8kb3ide7znFCUBv6DMPAND04OHHv31B+nzGMPPFXHDf9FgaN+SGm6Y37/EVEJDWawRMRSTNFg2fw5brH4t5mmOn5a98xEvSEc9z9efGWaUaOtVcVzab2rzW3pLKp2biWyhtWyMHtb2OYXoyYWbtESyPjzTK6Syvrz/i1ZGllc89fRESSl55/6UVEDmP5fcbQrXAkFbs3Nrqt14CTUn681dvX8K8NL1JWtYdeOT05b9QsJvZvWEK/Y/nyswmUVTW+waDJfXh5wwrbpaBKU1UyoX6wOXLU+Y2CTVu1c2iu2maseEtFwcS06r+V0NJKEZGOpSWaIiJpaOj4S+h95LTojJ1heuh95DQGDD89pcdZvX0N97//BCWVpfhDNWzZt52733mQf6xd3BbDbrF6yypjJpQMr9UhRVMait2/FruUcdtnz7N14yI3ZMUEv/KS9dH7RiqEuvsF69o5VG7afcjjamppaEPxlor2PnJKqyytjATgpl4HERFJjmbwRETS1IDhp6cc6Br614YXCYYD1ISDOLWb22zHZsmmFQwtHNRpZvLyhhVSmgX2QRscA3AwvCaGaeDJy2j2/m0tUZXMYM1+LG9W3PYIkVm8tmznkOrSyHhLRXN7HHnISyubahOhZZoiIqlRwBMRkYTKqvYQsEPu0sKYqTHbsfnXhhc7TcA78Nkq8C8H52TcKis2TsDEsTwUTB7S0cNLuBQSaFS4pOEetrZu59AW+/tS1VSbCBERSY2WaIqISEK9cnpiO40rUZoYlFXtiXOPjrFv5dMYgc8wQsvBOQB4wTmAUfMSNdte7OjhJVwK6cvsEQ16EQ33sHm6Zbq9/WJ1UDuHhlpraaUvM7/Z10FERJKjgCciIgmdN2oWptH4T4XP8tErp2cHjCi+0P5SsEOYdjFWcAFW4K9YwQWYdjGVH3R8wEvU6qD/8DOa3QPXmdo5NJRob2EybRJipbIXUEREmqYlmiIiktDE/uM4fdhpLNm0AtuxMTHwWT68lpfzRs3q6OFFebr3JlD6ddzbnFCwfQeTQFNLIZvaw9be7RxS0VpLK9UmQUSk9SjgiYhIk3503LkMLRzUqVsl9Jgyh9JFf4x7m+Hxxj3eWSSzB6692jmkKpU2C83pDHsBRUTSgQKeiIg0a2L/cZ0q0DWUO2ISFUO/hf+L9xvdljeh88w0ppt4vfG0tFJEpGMp4ImISFo44vzr2L3iMSo/eBEnFMTweMmbMIvC0y7q6KEdsvKS9Z1y+aKWVoqIdD4KeCIikjYKT7soLQJdrPKS9ex8eS2esuPxOCYYNjs3r4WZtEqQSiY8NnWOllaKiHQuqqIpIiLSiZWs2Iin9Chwav9kOyae0qMoWbHxkB87mTYHrdUKQURE2ocCnoiISCdm7uyb0vFUJNPmoLVaIYiISPtQwBMREenMnAR/qhMdT0HAX45hWPWONWxzkMw5IiLSeSjgiYiIdGaGndrxFPgy83GccL1jDdscJHOOiIh0Hgp4IiIinViwcEtKx1NRNHgGBga2HcJxHLfdQYM2B8mcIyIinYeqaIqIiHRixtDdBA0Db9lAd1mmYRPstRVjyO5Dfuxk2hyoFYKISNeigCciItKJFQ2ewdaaRQQHbK7XTHzg4Nmt8vjJtDlQKwQRka5DAU9ERKQT0wyaiIikQgFPRESkk9MMmoiIJEtFVkRERERERNKEAp6IiIiIiEiaUMATERERERFJE9qDJyIi0slVbtrN3ne3Earw4+mWScHkAeQNK+zoYYmISCekgCciItKJVW7aTenyzeAAlkmossb9b1DIExGRRrREU0REpBPb++42cMCwTAzDwLBMcGqPi4iINKCAJyIi0omFKvxgGvUPmoZ7XEREpAEFPBERkU7M0y0TbKf+Qdtxj4uIiDSggCciItKJFUweAAY4YRvHcXDCNhi1x0VERBpQkRUREZFOLFJIRVU0RUQkGQp4IiIinVzesEIFOhERSYoCnoiISCenPngiIpIsBTwREZFOTH3wREQkFSqyIiIi0ompD56IiKRCAU9ERKQTUx88ERFJhQKeiIhIJ6Y+eCIikgoFPBERkU5MffBERCQVKrIiIiLSiXX2PnjlJevZWbycgL8cX2Y+RYNnkN9nTEcPS0TksKWAJyIi0sm1pA9eewSv8pL1bN24CAcHw/QSqNnP1o2LABTyREQ6iAKeiIhIB2vtMNZewWtn8XIcHEzTfTthGB5sO8TO4uUKeCIiHUR78ERERDpQJIwFavbXC2PlJetb/JixwcswDEzTg4PDzuLlrThyCPjLMQyr3jHDsAj4y1v1+4iISPIU8ERERDpQW4Sx9gpevsx8HCdc75jjhPFl5rfq9xERkeQp4ImIiHSgtghj7RW8igbPwMDAtkM4joNthzAwKBo8o1W/j4iIJE8BT0REpAO1RRhrr+CV32cMA0fOxpfRHccO4svozsCRs7X/TkSkA6nIioiISAcqGjyDrRsXuSHMsHCc8CGHsUjAao/2Bfl9xijQiYh0Igp4IiIiHaitwpiCl4jI4UkBT0REpJ0kaoegMCYiIq1FAU9ERKQdqCm4iIi0BwU8ERGRdtDeTcFbu3m6iIh0DQp4IiIi7SDgL8cwvfWOtVVTcM0WiogcvtQmoQ2tW7eOY445hg8++KCjhyIiIh0smXYI5SXr2fjOXax97fdsfOcuykvWt+h7tUXzdBER6RoU8NrI1q1bueKKK7Btu6OHIiIinUBzvekis26Bmv31Zt1aEvLaonm6iIh0DQp4beD1119nzpw5lJaWdvRQRESkk2iuKXhrzrq1RfN0ERHpGrQHr5VdddVVLFmyhCFDhnDyySezZMmSjh6SiIh0Ek21Q2jNPXpt0TxdRES6Bs3gtbLi4mKuvPJKnnnmGY466qiOHo6IiHQRrTnr1txsoYiIpC/N4LWyp556Cp/P19HDEBGRLqa1Z93UPF1E5PCkgNeM2267jVAo1OQ5P//5z+nRoweAwp2IiLRI7F489a4TEZGWUsBrxsKFCwkEAk2e8+Mf/zga8ERERFpKs24iInKoFPCasX59y3oQiYiIiIiItDcVWREREREREUkTCngiIiIiIiJpQks0RUREpJ7KTbvZ++42QhV+PN0yKZg8gLxhhR09LBERSYICnoiIiERVbtpN6fLN4ACWSaiyxv1vUMgTEekCtERTREREova+uw0cMCwTwzAwLBOc2uMiItLpdfmA99Of/pThw4fzwQcfNHvuhg0b+NWvfsXJJ5/M6NGjmTJlCr/4xS/46KOP2mRsP/vZz/j888+ZMGFCmzy+iIhIawtV+ME06h80Dfe4iIh0el064C1YsIAVK1Ykde6yZcs4//zzWbp0KWVlZQSDQUpLS3nppZe48MILefDBB9t4tCIiIp2fp1sm2E79g7bjHhcRkU6vywa8p59+mltuuSWpcz/++GOuueYaQqEQEyZM4IknnuDdd99l4cKFTJw4Edu2+dOf/sQbb7zRtoMWERHp5AomDwADnLCN4zg4YRuM2uMiItLpdbmAFwgEuPnmm7n++utxHKf5OwB//vOfCQQCDB06lIcffpjjjz+egoICxo8fz0MPPcSECRNwHIc77rgD27bb+BmIiIh0XnnDCuk9YwievAwI23jyMug9Y4gKrIiIdBFdqorm8uXL+eMf/8iWLVsAGDVqFBs2bGjyPsXFxbz99tsAXH755WRkZNS73ev1cvXVVzN37lyKi4v56KOPtGdOREQOa3nDChXoRES6qC4zg1dRUcEVV1zBli1byM7O5oYbbuDaa69t9n4rV64EwLIspk6dGvecsWPH0rNnT4Ck9/SJiIiIiIh0Nl0m4IEb0s466yyWLl3KhRdemNR9Pv30UwAGDBhAXl5e3HMMw2DEiBEAzc4IioiIiIiIdFZdZolmVlYWr7zyCv3790/pfjt27ABo9n5FRUUAbN++vWUDFBERERER6WBdZgbP6/WmHO4AysvLARLO3kVEbq+oqEh9cCIiIiIiIp1Alwl4LVVTUwNAZmbT/XsixVci54uIiIiIiHQ1aR/wLMsC3H12IiIiIiIi6SztA15WVhYAfr+/yfOSnekTERERERHprNI+4EX21lVWVjZ5XmTvXX5+fpuPSUREREREpC2kfcAbNGgQADt37mzyvF27dgF11TRFRERERES6mrQPeEOHDgVgy5YtVFdXxz3HcZxov7yRI0e229hERERERERaU9oHvGnTpgEQDAZZuXJl3HPWrl3L3r17AZgyZUq7jU1ERERERKQ1pX3AGzhwIOPGjQPgL3/5C1VVVfVuDwaD3HnnnQAMGzaMyZMnt/sYRUREREREWkPaBzyA3/zmNxiGwebNm5k3bx6rVq2ivLyctWvXcumll/L+++9jGAZXXnml2imIiIiIiEiX5enoAbSHsWPHctNNN3HjjTeyYcMG5s+f3+ic6667junTp3fA6ERERFpfecl6dhYvJ+Avx5eZT9HgGeT3GdPRwxIRkTZ2WAQ8gLlz5zJ69Ggefvhh3nvvPcrLy8nJyWHcuHHMnz9fSzNFRCRtlJesZ+vGRTg4GKaXQM1+tm5cBKCQJyKS5rp0wJs4cSKff/550uePGjUqut9OREQkXe0sXo6Dg2m6f+YNw4Nth9hZvFwBT0QkzR0We/BEREQOJwF/OYZh1TtmGBYBf3kHjUhERNqLAp6IiEia8WXm4zjhesccJ4wvM7+DRiQiIu1FAU9ERCTNFA2egYGBbYdwHAfbDmFgUDR4RkcPTURE2liX3oMnIiIijUX22amKpojI4UcBT0REJA3l9xmjQCcichjSEk0REREREZE0oYAnIiIiIiKSJhTwRERERERE0oQCnoiIiIiISJpQwBMREREREUkTCngiIiIiIiJpQgFPREREREQkTSjgiYiIiIiIpAkFPBERERERkTShgCciIiIiIpImFPBERERERETShAKeiIiIiIhImlDAExERERERSRMKeCIiIiIiImlCAU9ERERERCRNKOCJiIiIiIikCQU8ERERERGRNKGAJyIiIiIikiYU8ERERERERNKEAp6IiIiIiEiaUMATERERERFJEwp4IiIiIiIiaUIBT0REREREJE0o4ImIiIiIiKQJBTwREREREZE0oYAnIiIiIiKSJhTwRERERERE0oQCnoiIiIiISJpQwBMREREREUkTCngiIiIiIiJpQgFPREREREQkTSjgiYiIiIiIpAkFPBERERERkTShgCciIiIiIpImFPBERERERETShAKeiIiIiIhImlDAExERERERSRMKeCIiIiIiImnC09EDEBERkdZXXrKencXLCfjL8WXmUzR4Bvl9xnT0sEREpI0p4ImIiKSZ8pL1bN24CAcHw/QSqNnP1o2LABTyRETSnJZoioiIpJmdxctxcDBND4ZhYJoeHBx2Fi/v6KGJiEgbU8ATERFJMwF/OYZh1TtmGBYBf3kHjUhERNqLlmh2IuFwGIBdu3Z18EhERKQr23fAQ6BmP6ZZ92fetkP4Mrqxffv2DhyZiIgcqkhWiGSHhhTwOpGysjIALrzwwg4eiYiIpK8nOnoAIiLSCsrKyjjyyCMbHTccx3E6YDwSh9/v55NPPqFXr15YltX8HURERERE5LASDocpKytj9OjRZGZmNrpdAU9ERERERCRNqMiKiIiIiIhImlDAExERERERSRMKeCIiIiIiImlCAU+kFX399ddcddVVnHjiiYwePZpTTz2VW2+9lcrKyo4emnSwvXv3csMNNzBt2jTGjh3L7NmzeeWVVzp6WNJJ6XeJtFQ4HGbu3LmMHDmyo4cinVQoFOLhhx9m1qxZjBkzhunTp3Prrbeyf//+jh6atBIVWRFpJSUlJZx55pkEg0F++MMf0r9/f9atW8ezzz7LkCFDeOqpp8jKyuroYUoHqKqq4gc/+AFfffUV8+bNY8CAATzzzDOsW7eO//qv/+Lss8/u6CFKJ6LfJXIo7rnnHu69914sy2Ljxo0dPRzphH75y1+ybNkyZs6cyYknnsjGjRt5+umnGTNmDP/4xz/w+XwdPUQ5ROqDJ9JK7rjjDioqKvjnP//JscceC8AFF1zAiBEjuO2223jyySe55JJLOniU0hEWLFjA559/zr333suMGTMAmD17NnPnzuUPf/gD3/nOd8jOzu7gUUpnod8l0lJr167lf/7nf/D5fAkbIMvhbdmyZSxbtoxLLrmE6667Lnq8X79+3HXXXbz66qvMmjWrA0corUFLNEVayapVqzjmmGOib8giIrMz77//fgeMSjqDZ599ln79+kXDHYDP5+Oiiy5i3759vPXWWx04Ouls9LtEWqKqqopf//rXTJ06leOOO66jhyOd1FNPPUX37t35xS9+Ue/4nDlzuOyyyygsLOygkUlr0gyeSCt56qmnCAQCjY7v3bsXAI9HP26Ho8rKSr788ku+973vNbptzJgxAHz88cd897vfbe+hSSel3yXSErfeeitVVVXceuutXHnllR09HOmEwuEwH374IVOnTo0u8z548CBer5eCggJdN2lEfyVEWkm/fv3iHv/73/8OwMSJE9tzONJJlJSU4DgOffv2bXRbnz59ANixY0d7D0s6Mf0ukVS99NJLLF68mPvuu08zMJLQtm3bqKmpoX///ixdupT77ruP4uJivF4vp556Ktdff33075J0bQp4Ik247bbbCIVCTZ7z85//nB49esS9benSpTz11FP069eP2bNnt8EIpbOLVD2Mt8cuMzMTcD9BFWmKfpdIIiUlJfy///f/OO+88/j2t7/d0cORTqyiogKAN998k4ULF/J//s//4ZhjjmHNmjU8+uijfPrppyxevJhu3bp18EjlUCngiTRh4cKFcZdKxfrxj38cN+AtWbKEa6+9lqysLP7yl79E38zL4SVSqNgwjEa3RY7Fu00kQr9LJBHHcbj22mvJy8vjt7/9bUcPRzq5yPuZL7/8kr/97W+ccsopAMyYMYN+/fpx880388gjj/Dzn/+8A0cprUEBT6QJ69evb9H97r//fu666y6ys7O5//77GT16dCuPTLqKyMxdvFk6v98PQG5ubruOSboO/S6Rpvz9739n1apV3HfffdTU1FBTUwNAMBgE3H2bXq+XvLy8jhymdBKRfXcDBgyIhruIOXPm8J//+Z+88847CnhpQAFPpBXZts3NN9/MwoUL6dmzp96QCf379wfcZVQN7dq1CyDu/jw5vOl3iSTj9ddfx3EcfvrTn8a9ffLkyZxwwgk8/vjj7Twy6YyKiooA6NWrV6PbfD4fPXr04MCBA+09LGkDCngircRxHH73u9+xePFiBg0axAMPPMCAAQM6eljSwXJzcxk0aFDc2eCPP/4YgLFjx7b3sKQT0+8SSda1114b3VcV6/bbb+eLL77goYce0n4qiSooKKB///58+eWXhEKhehV5Dxw4wN69exu1Z5GuSQFPpJU8/PDDLF68mOHDh/Poo4+Sn5/f0UOSTuL000/nnnvu4bXXXmP69OmAuxfi8ccfp6CggKlTp3bwCKUz0e8SSVaiWd3u3btjGAYnnnhiO49IOrtzzjmHe+65h8cff5xLLrkkevzBBx/EcRy17EkThhOpACAiLbZ//35OOeUUqqurueKKKxg4cGCjc3r37s3kyZM7YHTS0aqqqjjnnHMoKSnh4osvpqioiGeeeYa1a9fyxz/+kTPPPLOjhyidhH6XSGuYN28eH374IRs3buzooUgn4/f7ufDCC9mwYQPnnHMOY8eO5cMPP+T555/nxBNP5KGHHsI0zY4ephwiBTyRVvDmm2/yk5/8pMlzJk+ezCOPPNI+A5JOp6ysjDvvvJPXX3+dQCDA4MGDueyyy1TWXOrR7xJpDQp40pSqqir+9re/sWTJEkpLS+nTpw9nnnkml19+OT6fr6OHJ61AAU+6tJ/+9KesWLGCBQsWMGHChCbP3bBhAw899BDvvfce+/btIz8/n/HjxzN//nzGjx/fTiOWzkjXkaRC14ukQteLpELXi7QGzcFKl7VgwQJWrFiR1LnLli3j/PPPZ+nSpZSVlREMBiktLeWll17iwgsv5MEHH2zj0UpnpetIUqHrRVKh60VSoetFWosCnnRJTz/9NLfccktS53788cdcc801hEIhJkyYwBNPPMG7777LwoULmThxIrZt86c//Yk33nijbQctnY6uI0mFrhdJha4XSYWuF2lNCnjSpQQCAW6++Wauv/56kl1d/Oc//5lAIMDQoUN5+OGHOf744ykoKGD8+PE89NBDTJgwAcdxuOOOO7Btu42fgXQGuo4kFbpeJBW6XiQVul6kLSjgSZexfPlyTj/9dBYsWADAqFGjmr1PcXExb7/9NgCXX345GRkZ9W73er1cffXV0XM/+uijVh61dDa6jiQVul4kFbpeJBW6XqStKOBJl1BRUcEVV1zBli1byM7O5oYbbuDaa69t9n4rV64EwLKshL3Gxo4dS8+ePQGSXvsuXZOuI0mFrhdJha4XSYWuF2lLCnjSZViWxVlnncXSpUu58MILk7rPp59+CsCAAQPIy8uLe45hGIwYMQJwK1JJetN1JKnQ9SKp0PUiqdD1Im3F09EDEElGVlYWr7zyCv3790/pfjt27ABo9n5FRUUAbN++vWUDlC5B15GkQteLpELXi6RC14u0Jc3gSZfg9XpT/iUIUF5eDpDwU66IyO0VFRWpD066DF1HkgpdL5IKXS+SCl0v0pYU8CSt1dTUAJCZmdnkeZFNypHzRWLpOpJU6HqRVOh6kVToepFkKOBJWrMsC3DXo4u0lK4jSYWuF0mFrhdJha4XSYYCnqS1rKwsAPx+f5PnJfuJmByedB1JKnS9SCp0vUgqdL1IMhTwJK1F1qBXVlY2eV5kjXp+fn6bj0m6Hl1HkgpdL5IKXS+SCl0vkgwFPElrgwYNAmDnzp1Nnrdr1y6gruqUSCxdR5IKXS+SCl0vkgpdL5IMBTxJa0OHDgVgy5YtVFdXxz3HcZxoX5mRI0e229ik69B1JKnQ9SKp0PUiqdD1IslQwJO0Nm3aNACCwSArV66Me87atWvZu3cvAFOmTGm3sUnXoetIUqHrRVKh60VSoetFkqGAJ2lt4MCBjBs3DoC//OUvVFVV1bs9GAxy5513AjBs2DAmT57c7mOUzk/XkaRC14ukQteLpELXiyRDAU/S3m9+8xsMw2Dz5s3MmzePVatWUV5eztq1a7n00kt5//33MQyDK6+8UmWHJSFdR5IKXS+SCl0vkgpdL9IcT0cPQKStjR07lptuuokbb7yRDRs2MH/+/EbnXHfddUyfPr0DRiddha4jSYWuF0mFrhdJha4XaY4CnhwW5s6dy+jRo3n44Yd57733KC8vJycnh3HjxjF//nwtYZCk6DqSVOh6kVToepFU6HqRphiO4zgdPQgRERERERE5dNqDJyIiIiIikiYU8ERERERERNKEAp6IiIiIiEiaUMATERERERFJEwp4IiIiIiIiaUIBT0REREREJE0o4ImIiIiIiKQJBTwREREREZE0oYAnIiIiIiKSJhTwRERERERE0oSnowcgIiKHj+uuu45nnnmmRfft168fr732WiuPSJpy5513cv/993P99dczb968Q368TZs2ccYZZwAt//959tln8+mnn2JZFq+//jp9+vThxRdf5Morr2T27NncdttthzxOEZGuTDN4IiIi0sgHH3zAgw8+yODBg/nBD37QKo85bNgwRo8eDcCOHTv46KOPUrr/F198waeffgrAySefTJ8+fQCYNWsW48ePZ9GiRbz66qutMlYRka5KM3giItIhbr311uib/WR4vd42HI3ECgaD/P73v8e2ba6++mo8ntZ7u3DuuefyySefALB06VLGjx+f9H2fe+656NezZ8+ud9u1117L3Llzuemmm5g0aRK5ubmtM2ARkS5GAU9ERDrEwIEDOeaYYzp6GBLHI488wpdffsm4ceM49dRTW/WxTz/9dG6//XYCgQDLli3jt7/9LZZlNXs/27Z54YUXAMjPz280ruOOO47p06fz2muvce+993Lddde16rhFRLoKLdEUERGRqMrKSh544AEALr300lZ//O7du3PaaacBsGfPHt59992k7rd69Wp27doFwJlnnonP52t0zk9+8hMAFixYQElJSSuNWESka1HAExERkajHH3+c/fv306tXL0455ZQ2+R7nnntu9OslS5YkdZ/nn38++nXD5ZkR48aNY+jQoQQCgWhIFRE53CjgiYhIlzV8+HCGDx/OI488AsArr7zCf/zHf3DSSScxevRoTjnlFK699lo2btzY7GPt3LmTO+64gzPPPJPjjz+eY489ltNOO41rr72WNWvWJLzfPffcw/Dhw5kwYQKO4/DQQw8xffp0Ro8ezbRp07jmmmvqnW/bNs899xzz58/nhBNOYMyYMXz729/m1ltvpbS0lLKysujzWrx4MQCBQICJEycyfPhwpk+fjuM4TT6XSy+9lOHDh3PSSScRCoWafe4R4XCYJ598EoAzzjij2b13LX3NYgukLF++nJqamia/j9/v5+WXXwZg1KhRDB8+POG5Z511FgDPPPMM1dXVTT6uiEg6UsATEZEuz7ZtrrrqKn72s5/x1ltvsXv3boLBIDt37uTZZ59l9uzZPPXUUwnv//TTTzNz5kweeughPv/8cw4cOEBNTQ3bt2/n2Wef5YILLuCGG24gGAw2OY4777yTO+64gx07dhAMBtm1a1e9/WV+v5/LL7+ca665hlWrVrF//34CgQDbtm3j8ccf5/vf/37cypI+n4/vf//7gFt98sMPP0w4ht27d/POO+8A7lLGVAqkrFy5Mrq0cerUqU2eeyivmWma0SB24MAB3njjjSa/14oVK6iqqgISz95FTJs2Lfq4r7zySpPnioikIxVZERGRLu/hhx+mrKyMwYMHc/HFFzN8+HD279/PM888w4svvoht29xyyy2cdNJJ9OvXr959Fy9ezPXXXw9AUVERF154Iccddxxer5fNmzezcOFCPvnkE/75z38SCAS4/fbb446hqqqKBx54gKFDh3LFFVdQWFjIqlWr6gWlX/7yl9EwM2rUKObPn89RRx3Fzp07WbhwIatWreKqq66K+/jnnnsuCxYsANzlihMmTIh73pIlSwiHw4DbMy4VK1asACAzM5Pjjz8+4Xmt8Zqde+653H///dExz5w5M+H3i1TPzMjIiPbRS2TYsGH06tWLsrIyXn311ZRfAxGRrk4BT0REOsTWrVvp1q1b0ucPHjw4bmENgLKyMiZPnszf/vY3MjIyosenTp1Kt27dePLJJwkEAixdujRaiAOgpKSEm2++GYDx48fzwAMP1Cuvf9xxx3HOOefwm9/8hueee45nnnmGWbNmxZ3dsm2bvLw8HnvsMQoKCgDqhbBXX32V119/HYBTTz2Ve+65J9r6YezYsXz3u9/l1ltv5fHHH4/7HEePHs2wYcPYtGkTL7/8Mr///e/jto6I7FUbOXJkk0sZ41m1ahXQ9GvdWq/ZoEGDGDduHGvWrOHNN9/kwIEDcVsb7Nmzh3//+98AzJgxI6lrZsSIEZSVlbF69Wocx8EwjOReABGRNKAlmiIi0iGuv/56zj777KT/KS0tbfbxYsNdxAUXXBD9+vPPP6932xNPPMHBgwcxDIP/+q//ihswLMvihhtuoHv37gA89thjCccwc+bMaLhrKHK/7Oxs/vCHP8QNZ9dddx1HH310wsePFCfZt28fb731VqPbN2/ezIYNG4DUZ+/279/P1q1bARg6dGjC81rzNYs8n5qamoTLKZcsWRLdR9jc8syIyPgrKir46quvkrqPiEi6UMATEZEur0+fPgwZMiTubQMGDIh+HdnHFRFZLtm/f38GDhyY8PFzc3OjSxY/+OCDhHvxjjvuuLjHKyoqovvmpk+fTn5+ftzzPB5PkyEmdk9dbFXJiMhSRq/X2+xSxoa2bNkS/bqp16I1X7NZs2aRlZUFJK6mGXlORxxxBJMnT276SdQ66qijol/HPi8RkcOBlmiKiEiHeOyxx5g4cWKrPFb//v0T3paTkxP9OraiZCgUYtOmTQBs27Yt6eWMBw8eZM+ePfTt27fRbfGOAXzxxRfR7z1mzJgmH3/s2LEJb+vZsydTp07ltdde4/XXX6+3rNFxnGgj8KlTpyacSUwkdoY00TLI1n7NcnNzmTFjBs8//zyrVq1i9+7dFBYWRm8vLi6Ozkiec845SS+1zMvLi/u8REQOB5rBExGRLi8yCxRPbCiIbS9QUVGBbdst+n779++PezzeckVw95FF9OjRo8nHbi6YJVrWuHr1anbu3Am4YShVsS0FEj2PtnjNIs8nHA6zbNmyerdFZikNw6jXO685sQFPrRJE5HCjGTwRETksxc7mTZkyJWH1yniOPPLIuMcTzTDFLk9sroddc0455RQKCgrYu3cvzz//fDT4RJYy9ujRI9oqIBWxYzfN+J//tsVrNmnSJPr168eOHTtYunQp8+bNA+rPSE6cOLHJWdqGYp+LCqyIyOFGAU9ERA5LsTNpBw4c4Jhjjmmz7xW7527v3r1Nnrtv374mb/d6vZx++uk89thjrF69mr1795KXl8fy5csBOP300xNWwGxK7FJWv98f95y2eM0Mw+Dss8/mvvvuY82aNWzbto0BAwbw/vvvs2PHDiD54ioRseOPfV4iIocDLdEUEZHDks/ni84qffLJJxw4cKDJ859++mkWLFjAG2+8UW8mKxkjRoyIfr1x48Ymz43sOWtKJPDYts3rr7/O+++/T2VlJdCy5ZkAvXv3jn5dVlYW95y2es1i99e9/PLLACxduhRwl1t+5zvfSf6JNBh/7PMSETkcKOCJiMhh6+STTwbcJZQLFy5MeN7OnTu58cYbufnmm7nllluilSyTVVBQEK2w+frrr0fDWEOO4/Dss882+3gjRoyIzp69+uqr0QblQ4cOZfTo0SmNLSK28mRk5iyetnjNBgwYwLe+9S3AfT62bUef06xZs8jMzEzlqdQbf1NtJ0RE0pECnoiIHLbmzZuHZVkA3HPPPbz//vuNzgkEAlx99dXRGajIHrFUzZ8/H3BbNfz+978nHA43Ouevf/1rUjN4UFec5J133okuz0y1912s3NzcaBj69NNPE57XVq9Z5PmsW7eO5cuXR2fhzjvvvNSeSMz4CwoKUtq7JyKSDrQHT0REOsTWrVsTluNPpKioqNkqlKkYNGgQV155JX/605+oqanhkksuYc6cOUyfPp2cnByKi4t59NFH+eKLLwA49thjufDCC1v0vWbNmsUzzzzDW2+9xbJly/jmm2+YN28eRx55JKWlpSxevDg6axXRVIGQM844gzvuuAO/34/f78eyLM4888wWjS1i4sSJfPnll2zevJnq6mqys7MbndNWr9nMmTO5+eabqa6u5j//8z8Bd0by2GOPTek52LbNJ598En0+KrIiIocbBTwREekQ119/fcr3+cMf/pBSufxk/Md//AeGYXD33XcTDAZ54okneOKJJxqdN2HCBO699168Xm+Lv9fdd9/NZZddxvvvv8+6detYt25dvdsLCws555xzeOCBBwCaLJaSn5/PqaeeGm2VcNJJJx3yfrOZM2eycOFCgsEgq1ev5tRTT417Xlu8ZtnZ2Xzve99j0aJFlJSUAKkXVwF3b2CkUM13v/vdlO8vItLVaYmmiIgc9i699FJeeuklLrnkEoYPH05eXh4ej4fCwkKmTZvGnXfeyeOPP16vGmZL5Obm8thjj3HbbbcxceJEevTogdfrZeDAgfz4xz9myZIl9faMxZtBi/W9730v+nVLi6vEmjhxYrQZ+auvvtrkuW3xmsWGd6/Xy1lnnZXyc4jMgvbo0SNhQBURSWeGc6gNeURERKTV/P3vf+f2228HYPHixYwaNSrhuX/84x958MEH6datG2+//TYZGRmH/P0fffRRbrvtNrp168a///3vFrVc6CiO4/Dtb3+b7du387Of/Ywrrriio4ckItLuNIMnIiLSDq677jp+85vfsHjx4ibPW7VqFeDOYA0ZMiTheaFQiOeffx6A73//+60S7gDmzp1LYWEhFRUVvPjii63ymO1l5cqVbN++ndzcXC666KKOHo6ISIdQwBMREWkH+/btY/Hixdx888188803cc959dVXefPNNwGYOnVqk6Htf/7nfygtLQXgBz/4QauNMzMzkx//+MeAO5vXlUTG+6Mf/SjlAj4iIulCSzRFRETawWuvvcbll18OuM23582bx6hRo8jNzaW0tJTXXnuNF154gWAwSE5ODs899xwDBgyI3j8UCnHZZZfRt29ftmzZwnvvvQfAd77zHe65555WHWtNTQ1nn302X375JX/961857bTTWvXx28K6des4//zz6du3L0uWLCEvL6+jhyQi0iEU8ERERNrJvffey3333Ydt2wnPKSoq4u6772bcuHGNbjvppJPYvXt39L979erF4sWLD7l6Zjwff/wxF1xwAYMHD+bZZ5+N9r7rrObNm8d7773HQw89FG3GLiJyONISTRERkXZyxRVX8Mwzz/CDH/yAoUOHkp2djdfrpaioiBNOOIEbbriBF154IW64Azj55JPJzs6mR48ezJw5kyeffLJNwh24/et+8pOfsGnTJhYuXNgm36O1LFu2jPfee4/zzz9f4U5EDnuawRMREREREUkTmsETERERERFJEwp4IiIiIiIiaUIBT0REREREJE0o4ImIiIiIiKQJBTwREREREZE0oYAnIiIiIiKSJv4/gcncxzRo0TgAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "kwargs = {\"nat_iso\":\"I\", \"one_hot\":False, \"alpha\":0.9, \"legend\":False, \"interpolate\":False, \"log_plot\":True, \"ref\":True}\n", "\n", "u_exfor_endf = exfor_utils.plot_exfor_w_references(\n", " df, 92, 235, 18, get_endf=False, error=True, save=True, path=figure_dir, **kwargs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, each color represents a different experimental campaign. Researchers use different methods for their measurements that also carry different data processing methodologies. There is not standardize measurement technique, therefore, introducing uncertainties. In the following sections, we try to analyze the features that may affect the cross section behavior. The EXFOR database contains experimental measurements not only for one isotope like uranium but for 96 more isotopes and 36 total reactions. That is a total of 3492 combinations of isotope, reaction types. \n", "\n", "## Energy Distribution\n", "\n", "We know that the reaction probability is a function of energy, isotope, and reaction type. All of these are important and fundamental. Since Energy is perhaps one of the most important features so we shall start by analyzing this feature. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2021-02-23T23:01:14.480459Z", "start_time": "2021-02-23T23:01:14.265293Z" } }, "outputs": [ { "data": { "text/plain": [ "count 4.197495e+06\n", "mean 1.074256e+06\n", "std 2.620195e+06\n", "min 0.000000e+00\n", "25% 4.326000e+02\n", "50% 2.484900e+04\n", "75% 7.706700e+05\n", "max 2.000000e+07\n", "Name: Energy, dtype: float64" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.Energy.describe() # vanilla statistics" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2021-02-23T23:01:18.328535Z", "start_time": "2021-02-23T23:01:15.450096Z" } }, "outputs": [], "source": [ "df = df[df.Energy != 0] # Energy cannot be 0 physically so we drop these" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2021-02-23T23:01:20.341063Z", "start_time": "2021-02-23T23:01:20.192065Z" } }, "outputs": [ { "data": { "text/plain": [ "3.851943394525566" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from scipy.stats import skew\n", "skew(df.Energy.values)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2021-02-23T23:01:23.936062Z", "start_time": "2021-02-23T23:01:23.080164Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Energy Distribution')" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.displot(df[[\"Energy\"]], x=\"Energy\", height=6, aspect=3, bins=50)\n", "plt.title(\"Energy Distribution\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are various observations by just looking at some typical statistics:\n", "\n", "1. Energy cannot be 0 so we have some incorrect datapoints. We dropped these.\n", "2. The standard deviation is high but expected. This dataset includes reaction data for all isotopes and all reaction channels.\n", "3. The energy is highly skewed (this will affects model performance).\n", "\n", "There are many ways to un-skew the feature including log, square root, and power transformers. We know that our data is positive and cannot be zero so any of these works. Let us observe the impact of the log and Box Cox transformer on the skewness. The square root is not very powerful and will not be tested here (it has been tested before and the skewness change is minimal).\n", "\n", "### Log10 Transformation" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2021-02-04T19:35:32.276387Z", "start_time": "2021-02-04T19:35:32.065386Z" } }, "outputs": [ { "data": { "text/plain": [ "array([-0.62603645])" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "skew(np.log10(df[[\"Energy\"]]).values) " ] }, { "cell_type": "code", "execution_count": 178, "metadata": { "ExecuteTime": { "end_time": "2021-02-05T03:46:18.095133Z", "start_time": "2021-02-05T03:46:17.247721Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Energy Distribution after Log10')" ] }, "execution_count": 178, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ZL7zwQpKvSWpfJ09PTxUqVMj4s72vo7+/v5FwGzp0aLIEapMmTdStWze98sorunLlioYPH661a9fa/XsYHx+vDh066JNPPjGupTYzLjt8/fXXxt8xHx8fffjhh0mSoS1atNBzzz2n119/XbGxsRo8eHCSWWvx8fEaM2aMkXCbOXOmGjRoYMTXr19fzz//vF599VWFhYWl2pfMJNykhBl1Niklg20SJ1Bv3LiRqfYAAJnDQQoAAOQwI0aMUOfOndP9X1ozF0aMGGF3ueDLL79svLbt92UTEBCgqKgoWSwWff7550kSbjaOjo4aNWqUMbPI398/xT60bds2xYSLLS5fvnz67LPP7H5QHzZsWJJZY/fq2rWrpISlYZs3b052//jx4woODpZ0/2a5SUqytCwiIiJdMVevXjVely9f3m4ZX19fvfTSSxo0aFCaS8tS07BhwyT7gGVGy5YtkyTcbMqWLav3339fUsISycR7sD1oCxcuNL4fb7/9tt3ZkQ4ODvroo4+M78Fvv/2W4vfQ09NTb7/9drLrLi4u6tKli/Hn9M52tDl69KjKlSsnFxcXvf766ykm1xMnZi9fvpyhNtISHx+vX375RVJCMimlGYtlypTR4MGDJSUsX793GWpir7zyiql9zIiwsDDjvVilShUNHz7c7uzDpk2b6o033pCU8Hcy8fv3n3/+McaTvn37Jkm42VSsWDHde7NlRuKDWdJaDm6xWIz3Dge6AMD9RdINAIBcrHjx4qpUqZLde15eXsbrxPtxSTKWepYpUybJfkD3yp8/vzE7ateuXYqNjbVb7t5DAmxu3Lihf/75R1LCbJfChQvbLefk5KRu3bql2I/Ee7TZZrQlZpst5OzsfF83a0/8ATe9M1oSJxeHDx+u7du3Kz4+PkmZ4sWLa+zYserfv7+qVq2a6f5lZNZVSlLaD1CS2rVrZ3zY//vvv7Pcllm2bt0qKSFx3L179xTLubi4GPfv3LmjoKAgu+UaN26c4h6Bif/+3Pv3LC1t2rTRn3/+qX379qU6GyzxIQ1mJ1WOHDmiixcvSlKyJZb3at68uZHA2r59u90yTk5Oevzxx03tY0YEBgYqLi5OktS9e/cke0veK3FyMHEyP/GBCLaEvz3t2rXL0KzljEg8nqRnybJtKWpmZ9YBADKH5aUAAOQw/v7+6d5wPy1lypRJ8V7iJUm2D6G217YN4c+dO5fupZhRUVG6du1akv2DbOxdk6Rjx44Zbaf1QTy1BFGRIkXUvHlzbdiwQRs3blRkZKQxO89qtWr58uWSEpICZi1xTI/EG/Sn98N31apV1bx5c23evFnHjx9X7969VahQITVp0kRPPvmk3f33MiutvaDSI7XvS548eVSxYkUdOnQo2SEDD9KxY8ckSRUqVEjz+5I4YXz06FG1adMmWZnU/p4lXtqX+O9ZRiROqly9elXnzp3TmTNndOLECR04cMA4xVL6X3LFLAcPHjReT5o0SZMmTUpX3Llz5+xeL1y4cIYO6jBb4vdhWknnIkWKyMvLS+fOnTPeM9L/Zizmz58/xdmoUkKSv1q1atqxY0fWOm1H4vfVvQfd3MtqtRq/EElptiQAIHuQdAMAIBdL7eS8xB/kE39Qv3HjRrKZVel1/fp1uwk2e8tTpYRTH20S7ytlT1rJsq5du2rDhg26c+eO1qxZY8xA2bFjhzFTJ/FSv/sh8dLfYsWKpTtu4sSJGj16tJYvXy6r1aqIiAitXr1aq1evliR5e3urY8eO6tWrV5r7OaUmpe9LRqT1fbHNXkzv8tr7wdaX9CRgixQpkizuXokTIPfK6MEJ9mzZskUBAQHatWuX3T25snP2Unr3IrxXSnuHZeX9aobE38PE39uUFC1aVOfOnUsSZ1sCntLM3MTS00ZmJP46Jj491Z7bt28br9N70AgAwBwk3QAAQBKJZ+M0a9YsxVND7Ulpf7GUEg+Jl6NmdYZOy5Yt5eHhobCwMC1btsxIutmWlhYqVEgtWrTIUhsZdeDAAeN1aqeI3it//vz64osvNHDgQP3xxx/atGmT9u7da3y9jh49qq+++koBAQHy9/dPdQlwasxICKXF9n3N7AybzCaAU2PrU3qeP3H793tpntVq1ciRI7VgwYIk10uWLKnHHntMVapUUZ06deTu7q7evXtnSx9sJ/5KCSep1qlTJ11xKc1mux/vudQk/n6mpy+250/8vbf9PcyO92Z6FS9eXE5OToqLizN+qZCSS5cuGa8zkvwHAGQdSTcAAJBE4hlnkZGRGToVMqMSzxRJ65S/tGZKOTs7q0OHDvL399eOHTsUFhYmd3d3Y0P3Dh063PelVbYTHyXZ3Ww9LV5eXurXr5/69eunW7duadeuXdqyZYtWr16tq1ev6uLFixo5cqRmzZplZrcz5Pr166nO+LHNZkxpJmNqydbY2FhFR0dnqX/2FCxYUFeuXEky0zIliQ+2uN+zhObNm2ck3MqXL6+BAweqadOmyb6W2bF80SbxMzs5OWXreHA/JH6vXr16VaVKlUq1vO09kvjrULhwYZ06dUrh4eGyWq2pJu+ya4ani4uLypYtq5MnT6a4lNfm7NmzxuuU9vgEAGQPdtIEAABJuLi4GDPWDhw4oMjIyFTLL1iwQHPnztWmTZsyvGdV4kMAEu8dZY/ttMDU2A5biI+P18aNG7Vz505jX7X7vbT02rVrWrdunaSE5Fl6ZwjFxcXp1KlTxgETNm5ubmrRooVGjBihVatWGQdhBAYGprm8LDsdP348xXuRkZE6efKkJKlGjRpJ7tkOHkgtqZbWDJ7Msu1TeOrUqRSXQdrs3bvXeJ3aCbrZISAgQFLCgQ8///yz2rdvbzd5mV1fJ0mqXLmy8Tqt5N6NGzc0efJkLV68OMMntd4vifeo3LdvX6plr1y5opCQEElJv/e2xOPt27d1+vTpFOPj4+N16NChLPQ2dbb9Bo8cOZLqOL1z507jte3gGwDA/UHSDQAAJPPUU09JSphpNG/evBTLXbx4UR9//LHGjBmjsWPHpniCY0o8PDyMD44bN25McvBAYlarVUuWLEmzvqpVqxofiNetW6f169dLSkgcZGR5pxk+/fRTYxlanz590h3n5+en5557Tn369EmyF1NiBQsWTLLBf2ZOSTXLqlWrUry3ZMkSIxHbrFmzJPfc3d0lJSQnU0q8/fXXX6m2ndmlirb39927d7Vw4cIUy8XExOj333+XlJAkNOuAk/Q6c+aMpIRDOBKfNnwv20EhUuYOa0jt6/j4448bib41a9akmuCbN2+epkyZomHDhhkJ55ymUaNGcnZ2lpTwC4PUloj++uuvxuvEJ7e2atXKeJ34a3+vTZs2ZXpPvPRo27atpIT3cUrjY0xMjFasWCEpYXxM7X0EADAfSTcAAJCMj4+PHB0dJUmTJ09OMlPCJiYmRoMHDzY+5Pv4+GSqLV9fX0nSrVu3NHLkyCR7SNlMnTo1XTPdJBl7uW3bts1YWtq5c+dM9S0z7t69q6+//tr4oFu9enX16NEj3fEtW7aUlHAi4ddff223zNWrV42lq2XLlk2y9C3xEtqUknZmmj9/vt3k2OHDh/XNN99ISthMvlOnTknu22YcxcbGJklu2Jw+fVpTp05NtW3bs966dStDfe7WrZtxaunkyZOTnP5pEx8frzFjxhgzmTp37nxfT76V/rcUMjw83O6sLKvVqkmTJmnr1q3GtcQJ2PRK/J6592vp4uKiXr16GXW/8847dpPjBw4c0A8//CApYT+3l156KcP9uB+KFCmijh07Skp4j06YMMFuue3bt2vatGmSEn45kHim7FNPPWUs05w+fbrd782lS5c0btw4s7ufRNOmTY3TUydPnmzMKk3ss88+0+XLlyUp2/b9AwCkjD3dAADIYc6ePWskBNKrZMmSaZ7+mREVKlTQu+++qy+//FJ37txRnz591L17d7Vu3Vpubm46ceKEZs2apWPHjkmSnnjiCeODeUa1a9dOixcv1ubNm7V69WpduHBBPj4+KleunK5cuaJFixYZM9ZsUpuZ07FjR02YMEHR0dGKjo6Wo6NjsoRPVty7XMxqter27duKiIjQgQMHtGLFCmOPpeLFi+u7777L0AzA7t27y9/fXyEhIZo9e7aOHTumrl27qkyZMoqJidGRI0fk7++v0NBQSdL//d//JYn39PQ0Xs+YMUMFCxZUfHy86tWrly2b2Lu4uGjAgAF69dVX1apVKzk5OWn79u2aMWOGbt++LYvFok8//VR58+ZNEvfCCy8Ys8i++OILXb582TjoIigoSLNnz9bt27dVunRpY4nfvWzPGhERoR9//FFPPvmkXF1d09y3yt3dXePGjdPAgQN1+/Zt+fj4qEePHmrVqpXc3d116tQpBQQEGEtLy5cvrw8++CBLX6fMeP755/XLL79Ikt544w35+fmpZs2aslgsOnbsmBYtWqT9+/cniUlrObg9id8zEydO1AsvvCBHR0dVr15dkvT6669r06ZNCg4O1p49e9SpUyf17t1bjz/+uKKiohQUFCR/f38jyfv+++/flw37z549q88//zxdZbt27WoslR06dKh27NihkJAQzZw5U/v371ePHj1Uvnx5RUREaN26dfr9998VFxcni8Wizz//PEli22KxaPTo0fL19VV0dLR8fHzk4+OjZs2aydnZWbt379bPP/+c5j6VWeXs7KxRo0bpP//5jyIiItSjRw+98cYbqlOnjiIiIhQQEKAtW7ZIkho2bKgXXnghW/sDAEiOpBsAADnMiBEjMhzz2WefGTO8zNKvXz9ZLBZNnDhRsbGxCggIMPaYSqx+/fqaMmWKsWQrMyZOnKg33nhDO3fu1N69e5PsoyVJRYsWVZcuXfTTTz9JSv0kzMKFC6tVq1Zas2aNpITZIGYmANI7a65p06b67LPPVLx48QzV7+bmpu+//179+vXT5cuXFRgYmORABhsnJycNHDgwWX8ef/xxlShRQpcuXVJQUJBeeeUVSQnLbbNjadm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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.displot(np.log10(df[[\"Energy\"]]), x=\"Energy\", height=6, aspect=3, bins=50)\n", "plt.title(\"Energy Distribution after Log10\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Box Cox Transform" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "ExecuteTime": { "end_time": "2021-02-04T19:37:30.084821Z", "start_time": "2021-02-04T19:37:30.081819Z" } }, "outputs": [], "source": [ "from scipy import stats\n", "\n", "energy_box, _= stats.boxcox(df.Energy.values)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "ExecuteTime": { "end_time": "2021-02-04T19:39:29.118321Z", "start_time": "2021-02-04T19:39:28.966309Z" } }, "outputs": [ { "data": { "text/plain": [ "-0.09672338436387388" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "skew(energy_box)" ] }, { "cell_type": "code", "execution_count": 179, "metadata": { "ExecuteTime": { "end_time": "2021-02-05T03:46:29.547430Z", "start_time": "2021-02-05T03:46:27.360263Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Energy Distribution after Box Cox')" ] }, "execution_count": 179, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.displot(energy_box, height=6, aspect=3, bins=50)\n", "plt.title(\"Energy Distribution after Box Cox\")" ] }, { "cell_type": "code", "execution_count": 111, "metadata": { "ExecuteTime": { "end_time": "2021-02-07T18:56:36.406925Z", "start_time": "2021-02-07T18:56:34.365462Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(20,8))\n", "ax1.hist(df.Energy, bins=50)\n", "ax2.hist(df[[\"Energy\"]], bins = 10 ** np.linspace(np.log10(df.Energy.min()), np.log10(df.Energy.max()), 50))\n", "ax2.set_xscale('log')\n", "ax2.set_xlabel('Energy (eV)')\n", "# ax2.set_ylabel('Frequency')\n", "# ax1.get_yaxis().set_label_coords(-0.08,0.5)\n", "ax1.set_ylabel('Frequency')\n", "ax1.set_xlabel('Energy (eV)')\n", "# ax2.get_yaxis().set_label_coords(-0.08,0.5)\n", "plt.savefig(os.path.join(figure_dir, \"energy_distribution_h.png\"), bbox_inches='tight', dpi=300)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Either the log or Box Cox transformation followed by a standardizer or normalizer will benefit model performance by unskewing the data and minimizing the standard deviation. We shall keep this in mind when using any algorithm. \n", "\n", "## Cross Section (Data) Distribution - Label\n", "\n", "The cross-section is our label making this a regression challenge. Similar to the Energy, we expect this feature to have high standard deviations and be highly skewed. However, we must be careful not to change the nature of the data. These values represent physical reaction probabilities (although not in the usual 0-1 scale). " ] }, { "cell_type": "code", "execution_count": 175, "metadata": { "ExecuteTime": { "end_time": "2021-02-05T03:40:53.465559Z", "start_time": "2021-02-05T03:40:53.243570Z" } }, "outputs": [ { "data": { "text/plain": [ "count 4.185090e+06\n", "mean 6.480420e+03\n", "std 6.187566e+05\n", "min 8.250000e-18\n", "25% 2.695000e+00\n", "50% 5.820400e+00\n", "75% 1.404500e+01\n", "max 2.311600e+08\n", "Name: Data, dtype: float64" ] }, "execution_count": 175, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.Data.describe()" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "ExecuteTime": { "end_time": "2021-02-04T19:52:47.928710Z", "start_time": "2021-02-04T19:52:44.884661Z" } }, "outputs": [], "source": [ "df = df[df.Data != 0]" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "ExecuteTime": { "end_time": "2021-02-04T19:52:52.323956Z", "start_time": "2021-02-04T19:52:52.180364Z" } }, "outputs": [ { "data": { "text/plain": [ "138.58342560709644" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "skew(df.Data.values)" ] }, { "cell_type": "code", "execution_count": 176, "metadata": { "ExecuteTime": { "end_time": "2021-02-05T03:45:40.317580Z", "start_time": "2021-02-05T03:45:39.413497Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Data (Cross Section) Distribution')" ] }, "execution_count": 176, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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+uLu7y8HBQXFxcfrrr78eWej2zDPPmB9b+/ljTXx8vP7zn/8oLCxMBQoUUN++fVW3bl0VLFhQYWFh2rx5s9avX6+IiAj95z//0datW+Xs7KxatWrpt99+k4+Pj2bOnCnJ+k7PSaV1vabHt99+K6PRqLfeekvt2rVT4cKFdeTIEf3000+KiIjQ/PnzVbp0afXp0ydD9abGy8tLPXv21KhRo3Tq1CmVLl1aP//8sySpaNGi6apj69atGjp0qBISEuTo6KhOnTqpadOmKlKkiC5duqRly5bJz89P//zzj3r06GH1+jIZMWKEwsLC9Morr6hjx44qX768goKCNH/+fJ04cUJ3797V8OHDtWHDhkcyyhIA8OgRuv3Ltm3bNHXqVAUGBkpKnIpz6tSpbGtv+fLliouLU+nSpTVq1KhkN9x8+fKpS5cumjJlioKDg3X//v0Ub+wAgIx56qmndPPmTUVGRpp37JQS19g0TaNr1qyZZs6cafHzuVGjRurUqZO6du2q48eP68aNGzp69Kh5nbgaNWqocOHC5vKlS5dOFtQEBASYF8l3dXXVkiVL5OTkZD5er149dejQQV5eXtqyZYuioqK0e/fuVDc3sMbX19f8uHr16lbLBAcHmx+XL18+Q/Wnl8Fg0Lx588zTZJOGe4cPHzYHblWqVNHixYstRmfVrVtXHTp0UJ8+fXTq1CmtW7dOTZs2VfPmzSUlfli2fv16SYlr1k2YMMGi7Zdffll169ZV//79lZCQoF9//VVjxozJ8rnpVb16dY0fP15jx441jyo7fvy4jh8/LilxUwpXV1d5eHjotddeS3M33c8++0xRUVEqWbKkvL29LaYev/jii2rRooVWrVqlMWPG6Pz58/rxxx/16aefmsuYgilJqly5sry9vS3+vxs1aiR3d3f169dP8fHx+v7777Vo0SLzVFfT+7RgwYIZCiCDgoI0depUSYkh3eLFiy367ubmpnfeeUeDBw/Wrl275Ovrq8WLF5s3lvi3sLAwffXVV3rvvffMz7m6uurNN99U69atFRYWpr///lthYWEqXbq01ToKFCggFxcXXbp0Sfv370/3a8mqMmXKmB+Hh4en65zDhw8rICBAUuLo0n+PfH3jjTf01FNPad68eQoJCdGuXbvUokUL8/fpzJkz5rKp7fQspX69ppfRaNTYsWMtRoe6ubmpWbNm6tq1q27evKkZM2bo7bffTnW0WEaUL19e5cuXN/+u7OTklKH3aGRkpMaMGaOEhATlz59fv/zyi/nnupT4/mrfvr3GjBmjX3/9VefPn9f06dM1evRoq/WFhYXpww8/1JAhQ8zPvfjii3rzzTfVqVMn+fv768KFC/Lz8zNvSgMAeLywkUISd+/e1aBBgxQYGKgCBQpo7NixGRr2HhQUpAkTJqhFixZydXVV3bp19c4772jOnDkWQ+tNjEajea2Krl27phim9ejRQydPntSBAwcI3ADAhvLnz29+HBERYX58+fJlVaxYUY6Ojho0aJDVEQj29vZq3bq1+evQ0NAMtX3u3Dk9/fTTcnJy0oABAywCt6SS/mH976mE6WFar6h8+fIprm+V9B6V0ZF06dWgQYMU16WbN2+e+fGUKVOsTocsVqyYvv/+e/OoJ9PoFSnx/m2aqpjSGmhNmjRR9+7dNWjQIL366qs2OTcjOnXqJG9vb6tr6j148EC+vr6aNm2a2rVrp7fffjvFAGjv3r3m8OSTTz5J8f/0vffeM0+hXr58uXm0oyStWbPG/PUXX3xh9f/bw8NDTZs2lZQYEEZGRmbg1Vq3aNEic7tjxoyx2vd8+fJp6tSp5lFJ1qYbm9SuXdsicDMpUqSIWrVqJSnxd620NqMwfU8uXLjwSHYxlVL+2ZOamzdvmh8nXWsvqZ49e+q9997T0KFDs7QGYWrXa3q99tprVqdju7i4mEPghw8fWqzBltN+/fVX8/dj8ODBFoGbiZ2dncaNG2f+HqxatSrF72Hp0qWTLV0gJYaBSTdMSe9oRwBA3kPo9i/29vZq3769Nm7cmKF1W/744w+1atVK3t7eCggI0MOHDxUZGalTp05p+vTpatu2bbL1HIKCgsyfbjZs2NDiWFxcnPmxg4NDsrVrAABZl3RNqaQLznt6esrHx0d+fn4pjg6TZDF6JqM7EDZv3lxbtmyRn5+fOdywJum0vczscmjakTS1ddqSTt/Lrp0UUxrFYZrOKCWOLn/xxRdTrMPFxUUvv/yypMQw0XQPLVmypIoVKyZJmjt3rtatW6eHDx8mO3/06NEaPHiwxdp2WTk3o+rVq6f169dr+fLl6tOnj6pWrWo10D1z5ox69eqVbAqtlLixh0lK04VNTH2NjIy0WCx+x44dkqSyZcsm+/0jqTFjxuivv/7SkSNHUt2QIL1Mu7GXKFFCzZo1S7Fc0aJF1aZNG0mJI4WSjtBKKrXXn/T9bu2Dz6RM4Ul8fLyuXr2aallbSelnT2qSTkkdOXKk9u/fnyyQLFOmjL766iv1798/1Z9dabHFqCtrgahJ69atzR807N27N8tt2YrpPWpvb5/iTs9SYmhmOh4dHW2xwUhSDRs2TPF3+Iy8RwEAeRdJThL58+fX1q1b09xV7N/27NmjYcOGyWg0qmbNmho0aJBeeuklxcbGav/+/Zo+fbquXbumvn376vfffzcPoU8awlWuXFm3bt3S3LlztXXrVt24cUNOTk5yc3NTnz59svRLPgDAuqSLZCedDmpi+mPYaDQqNDRUV69eVUBAgC5cuKATJ06YpwdKSnE0TlqShi43b97U1atXFRgYqIsXL+rkyZM6evSo+bjRaMxQ3ffu3TOP3Em6m+G/JV3rKL2jbjKqXLlyVp+/du2a+Q/O9Pyh7+rqql27dsloNOrChQuqX7++DAaD+vXrp2+//Vb37t3TiBEjNG7cONWrV0+NGjXSyy+/rOrVq1sNuLJybmYYDAbVqVNHderU0fDhw3X79m39888/2r9/v3bv3m0x1XfBggUqU6aMxfTKpAHUa6+9lu52r169qjp16shoNJqD2JR27DVJOgUyq+Li4nT58mVJiSPUUlqnzcTV1VXLli2TlLiGXc2aNZOVSe33taQbMMTHx6faVtJrPzQ0VFWrVk21vC0k/dmT2rWZVPXq1fXqq69q9+7dunDhgnr16qVixYqpUaNG8vDwUOPGjVWhQgWb9C+l6zUjUrue8+XLp2effVZnzpxJ9qF0Tjp//rykxGnuaX1fku4qe+7cOfN096TS+x5N+mE7AODxQuiWhKOjY4YDt/j4eI0bN05Go1EvvfSSvL29LaYIvf3222rYsKHatWun0NBQzZo1S2PHjpUki52ngoKCNGDAAIt1PaKjo+Xr6ytfX1/17dtXw4YNy+IrBACYGI1G83St4sWLJ5veaTQatXnzZq1atUrHjx9XVFRUsjrSO0IlNXv27NGyZct06NAh3b1716ZtJO1zaiOVko64yMwU1vRIqf2kIV/JkiXTrCfpyL+k537wwQdKSEjQ7Nmz9fDhQ0VHR2vv3r3au3evvv32Wz311FNq0aKFevXqlexen5Vzs6pEiRJq0aKFWrRoIUnav3+/pkyZYt7cYs6cOerSpYt5OmJ61//6N9N7Kzw83PwHvmmE36Nw584dc2icle9zUqntbJo0JE0rrE4aulm7zrND0uno1qb3pmT69On64osvtH79ehmNRkVERGjz5s3avHmzJKlq1ap666235OnpmaUlSWwxsjGtddpMU9mzK+jPDFNf0rPGXNL3cVbfowCAxxehWxYl/VR6yJAhVtfkKVu2rHr16qUZM2Zo3bp1+vzzz+Xg4GD+ZN9gMOjjjz9WdHS0Ro0apdatW6tw4cI6ceKEvv32Wx09elTz5s2Ti4uLunTp8khfHwA8ri5fvmxep+rfu/hFR0fLy8vLYiqfwWBQxYoV9cwzz6hGjRqqU6eOIiIiMv2BiNFo1JgxY7R69WqL58uVK6dnnnlG1apVk5ubmwoXLqxevXplqo2kUgvvTCOP4uPjU5wmlZr169fr8uXLcnd3l5ubm9V7YUp/YGZ0hGDSUUv/rnPAgAHq0qWLtm3bpu3bt8vX19d8rw0NDZW3t7dWrVql77//PtmU3qycm5oHDx7o5s2bunXrllxdXdP8Q7tRo0ZaunSpOnbsqIsXLyoiIkKnT582L2RvCsyKFy9u3v08PUyj1tIa9ZVdbPl9trWk9dsiSE+PkydPmh+ntovovxUqVEhTp06Vl5eX/vzzT+3cuVPHjx83r5V37tw5fffdd1q2bJkWL16c6rTy1DyKQMgUhqa0nmVaMju6ODWmPqXn9Sdt/1G9bwAAeQ+hWxYl/eOkatWqKa7JULt2bUmJn6CeOXNGtWvXNq8ZYzQadfv2bS1evNhiwdZ69epp8eLF6tKli06dOqUZM2aoQ4cOypcvXza+IgB4MiTd1bN+/foWx3744Qdz4FarVi19/PHHatCgQbLRH2vXrs10+8uXLzcHbpUrV5aXl5caN26cbPTRgQMHMt1G0pEu1tYpMylUqJDq1q2rgwcPKjAwUFevXlWlSpXS3c7SpUt19OhR/fe//9XChQvVqFGjdJ+b9PXeunUrzfJJy1gbqVW0aFF17NhRHTt2VFxcnE6cOKG9e/fqzz//1Pnz5xUdHa3hw4drx44dyb6fWTk3JaNHj9aGDRskSZs2bUrX4vQFChRQ586dNXHiREmWow9Nr/nu3bt65plnMvw7waOYSpxWuxn9Pic9Nzsk3TwhtZFJtpTaz5/0qFSpkj744AN98MEHun//vg4dOqQ9e/Zo8+bNunnzpq5fv64xY8Zo0aJFtux2hty5cyfVjVlM3+OURlymNkIxNjY21Z9pmVW0aFGFhoam6z2adGOL7H6PAgDyLj6WyaKgoCDz40aNGpnXafn3v379+pnLmX55TrpzVYsWLazukOTk5KRBgwZJkm7fvq1Dhw5l10sBgCfKypUrJSWOaGjbtq35+fj4ePOxIkWKaNGiRWr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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.displot(df[[\"Data\"]], x=\"Data\", height=6, aspect=3, bins=50)\n", "plt.title(\"Data (Cross Section) Distribution\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are various observations by just looking at some typical statistics:\n", "\n", "1. Data cannot be 0 so we have some incorrect datapoints. We dropped these.\n", "2. The standard deviation for the cross section is also high but expected. \n", "3. The cross section feature is highly skewed (this will affects model performance). \n", "\n", "We refrain from applying any other transformation other than the log transformation to not change the nature of the data. To optimize model raining (although model dependent), the features must have similar ranges. This helps algorithms like KNN not give more importance to high variance features and helps deep learning models train faster. However, we shall not normalize our labels (cross-section data) since these are absolute probabilities." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are many ways to unskew the feature including log, square root, and power transformers. We know that our data is positive and cannot be zero so any of these work. Let us observe the impact of each transformer on the skewness." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Log10 Transformation" ] }, { "cell_type": "code", "execution_count": 180, "metadata": { "ExecuteTime": { "end_time": "2021-02-05T03:46:47.001909Z", "start_time": "2021-02-05T03:46:46.791476Z" } }, "outputs": [ { "data": { "text/plain": [ "array([-1.01712755])" ] }, "execution_count": 180, "metadata": {}, "output_type": "execute_result" } ], "source": [ "skew(np.log10(df[[\"Data\"]]).values)" ] }, { "cell_type": "code", "execution_count": 181, "metadata": { "ExecuteTime": { "end_time": "2021-02-05T03:46:59.116738Z", "start_time": "2021-02-05T03:46:58.176261Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Data (Cross Section) Distribution after Log10')" ] }, "execution_count": 181, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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2fv75Z7m5uaW6f8k9X62xf/9+/fjjj7p//77xs+vXr2v16tVavXq1+vTpo6FDh6a6j+npn3/+0ciRI3Xv3r04P79x44Y2btyojRs3qmbNmpo+fXqSocbt27c1ZMgQ4/XV4vz580bgPXfu3CS/TEhMRlw/rBEWFqYhQ4YY1xmL8PBwHTt2TMeOHdP8+fM1ceJENWzYMNHjhIaGqkePHnFW1j1z5owxBDKjBAQE6OOPP9aRI0fi/Dw4OFiHDx/W4cOHNW/ePE2aNEmvv/56gsfYvn27Bg8eHGfYekhIiHx9feXr66tNmzbFm8vxcYULF1bXrl3Vq1cv5ciRw+r+P3jwwHhNTO6LotjX+vPnz1t9DgBIK0K3DBYeHq7vvvvOqMRIT6dPn9bcuXMlxQwv+/bbb41vKQsVKqQlS5aodevWunz5smbNmkXoBjzF8ufPr0KFCunWrVs6depUvO2DBw82Arc6deqoXbt2KlGihCIiInT58mUtXLhQZ8+eVVhYmIYNG6bNmzcb8638+eefCgwMNCpAunTpom7dukmK+yZ31KhRxgcmV1dXdevWTS4uLsqWLZuuXLmiZcuW6dChQ4qMjNSoUaNUr169BOdjS8q2bdsUEREhKWYBhITEHl5bvXr1FB3fWlOnTlXx4sX10UcfqXTp0jpy5IjKli1rbB83bpwWLFggSXJ2dlbv3r1VvXp1ZcuWTX5+fpozZ44CAwO1cOFC3b9/36hYsRg/frwRmnXs2FGNGzdWwYIFFRISor1798rLy0thYWEaO3asqlWrFmfS+7Tsa41evXrpr7/+UmRkpE6cOKE2bdqoatWqatiwoWrXri1XV1c5ODhYfbyzZ8/K09NTYWFhypkzp7p166a6desqb968unbtmtauXWtUZ/bp00fLli1T7ty54xwjdvVlwYIF5enpqWrVqikyMlI+Pj6aN2+eHj58qC+++ELPPfec3NzcNHbsWIWFhalfv366efOmKleurG+//VaSrK7WmT9/vsaNGydJypUrl3r06KE6deooR44cOnXqlObPn6+LFy9q/fr1CgkJ0Zw5cxKdx+iDDz7QzZs31apVK7Vs2VIFCxbU+fPn9csvv+jSpUu6du2aRo8erd9++y3R/tSuXVv29vaKjIzUpk2bMix0e/75543bCb3+JCQqKkoffvihbt68qVy5cumdd95R9erVlTt3bt28eVPr1q3T6tWrFRwcrA8//FAbNmxQjhw55Orqqj///FPe3t6aMWOGpIRXeo4tueerNSZNmiSz2azWrVurTZs2ypMnjw4ePKhZs2YpODhYc+bMUeHChdWnT58UHTcpgwcPlqenp7788ksdP35chQsX1q+//ipJyVYmWWzYsEGffvqpoqOj5eDgoE6dOqlhw4bKmzevLly4oMWLF8vPz0/79u1Tr169Enx+WQwbNkw3b95UvXr11LFjR5UoUcKogDp69Kju3r2roUOHas2aNSmuskzt9aNIkSLGSrsJ/Z4cHByUL18+vfnmm5o2bZq2bNki6f9W540dhEdHR+u9996Tj4+PpJgwuV27dnJxcdH9+/e1d+9eLVy4UHfv3tXAgQM1e/bsRL+g+vPPPxUdHa2OHTvqrbfe0r1797R79+4MXSX5zp076tOnjzGks3r16urSpYvKlCmj4OBgbdq0SStWrFBISIjeffdd/fbbb3G+wJNiKtTef/99Y0Ginj176o033pCdnZ18fHw0Z84crV27NtnX/CVLliRbqZyQwMBAY9hw8eLFk2wbu0o/MDAwxecCgNQidMtAGzdu1MSJE3X58mVJMUOfjh8/nm7nW7JkiSIjI1W4cGF9+eWX8d7gZM+eXV27dtWECRMUEBCg+/fvJ/pGCsCTr0iRIrp165ZCQ0ONN8hSzJyPlmF0jRs31owZM+K8Xri7u6tTp07q1q2bjhw5ouvXr+vQoUPGPHEVK1ZUnjx5jPaFCxeOF9RcunTJmCS/atWqWrhwoRwdHY3tNWrUULt27TR48GCtX79eYWFh2r59e5KLGyTE8mFIkipUqJBgm4CAAON2iRIlUnR8a5lMJs2ePdsY5hQ73Dtw4IARuJUtW1YLFiyIU51VvXp1tWvXTn369NHx48e1atUqNWzYUE2aNJEU8+XN6tWrJcXMWTd27Ng4537ttddUvXp19e/fX9HR0frjjz80YsSINO9rrQoVKmj06NEaOXKkUVV25MgRo5IiZ86cqlq1qurUqaM33ngj2dV0P//8c4WFhalgwYLy8vKKM3Ts5ZdfVtOmTfX7779rxIgROnv2rH766Sd99tlnRhtLMCVJZcqUkZeXV5zft7u7u2rXrq2+ffsqKipKP/zwg+bPn29UTVgep7lz505RAOnv76+JEydKignpFixYEKfvbm5uat++vQYNGqRt27bJx8dHCxYsMBaWeNzNmzf1zTffqHPnzsbPqlatqjfffFMtWrTQzZs3tXPnTt28eVOFCxdO8Bi5cuWSi4uLLly4oD179lh9X9IqdvVOUFCQVfscOHDACAPGjBkTr3KpUaNGKlKkiGbPnq0bN25o27Ztatq0qfF3OnnypNE2qZWepaSfr9Yym80aOXJknOpQNzc3NW7cWN26ddOtW7c0bdo0vfXWW0lWi6VEiRIlVKJECeO9m6OjY4oeo6GhoRoxYoSio6OVM2dO/fbbb8bruhTz+Grbtq1GjBihP/74Q2fPntXUqVP11VdfJXi8mzdv6t1339XHH39s/Ozll1/Wm2++qU6dOunUqVM6d+6c/Pz8jEVprJGW60fs30lSv6fChQsrf/78xv8T+j0uWLDAuMYMHTo0XoDq7u6uDh06qFu3bgoMDNTw4cO1cePGBAOn6OhotWrVygjyJSVZGZcepkyZYjzHevbsGe+zQv369dWsWTMNGDBAERER+vzzz+NUrUVHR+vrr7823k/MnTs3TpBfo0YNNW/eXD169NCdO3eS7EtqAjcppqLOIrnPMLED1Lt376bqfACQGiykkEEs33pdvnxZuXLl0siRI1M0zMDf319jx45V06ZNVbVqVVWvXl3t27fXzz//HGcog4XZbDbmBunWrVuiF6JevXrp2LFj8vX1JXADnnKxh3cEBwcbty9evKhSpUrJwcFBAwcOTLACwc7OLs6kxin9lvjMmTN67rnn5OjoqAEDBsT5wBRb7A/Wjw8ltIZlvqISJUokOr9V7NfMlFbSWatWrVqJzksXe+W0CRMmJDgcMn/+/Prhhx+MqidLVYYUcz2xDFVMbDhN/fr11bNnTw0cODDOkKC07JsSnTp1kpeXV4Jz6j148EA+Pj6aMmWK2rRpo7feeivRAGjXrl1GePLJJ58k+jvt3LmzUYGxZMkSo9pRklasWGH8f8yYMQn+vuvUqWN84D1y5IhCQ0NTcG8TNn/+fOO8I0aMSLDv2bNn18SJE42qpISGG1tUqVIlTuBmkTdvXjVv3lxSzLU/ucUoLH+Tc+fOZcgqplLirz1JuXXrlnE79lx7sXl6eqpz58769NNP0zQHYVLPV2u98cYbCQ7HdnFxMULghw8fxpmDLbP98ccfxt9j0KBBcQI3i2zZsmnUqFHG3+D3339P9G9YuHDheFMXSDEhV+wFU6ytdrTIqOtHUqKjozVv3jxJMWFSYhWLpUqV0ueffy4pZiqDx4ehxmapCM8Md+7cMR6L5cuX1/DhwxO89tetW1fvvvuupJjnZOzH74EDB4zigT59+iRYOfvCCy9YPTdbasQetp/ccHCTyWQ8dljQBUBGInTLQHZ2dmrbtq3Wrl2bonly/v77bzVv3lxeXl66dOmSHj58qNDQUB0/flxTp05Vq1at4s2f4e/vb3yb/Oqrr8bZFhkZady2t7dnFSfgGRH7TWbsb5U9PDzk7e0tPz+/RKvDJMWpnknpG9YmTZpo/fr18vPzS/Lb/NjD9lLzptiyImlS87TFHr6XXm+8E6visAxnlGKqnV9++eVEj+Hi4qLXXntNUkyYaHlNL1iwoFGR8csvv2jVqlV6+PBhvP2/+uorDRo0KM7cdmnZN6Vq1Kih1atXa8mSJerTp4/KlSuX4Ie6kydPqnfv3vGG0EoxC3tYJDZc2MLS19DQ0DiTxVuGixUrVize9TC2ESNGaNOmTTp48GCSCxJYy7I6eIECBdS4ceNE2+XLl08tW7aUFFMpFLtCK7ak7n/sx3tCX8TFZglPoqKidOXKlSTb2kpirz1JiT0kdfjw4dqzZ0+8QLJo0aL65ptv1L9//yRfu5KTkqqrxCQUiFq0aNHC+LC/a9euNJ/LViyPUTs7u0RXepZiQjPL9kePHsVZYCS2V199NdH3lCl5jD4uo64fSTl9+rSuXbsmSfGGWD7u9ddfN17rEvtCwd7eXlWqVLFpH1PCx8fH+DzQqVOnRIe1S3HDwe3btxu3Yy+I0L59+0T3b9GihVUrWadG7NcTa4YsW4aiprayDgBSg7Qlg+TMmVMbNmxIdhW3x+3YsUNDhgyR2WxW5cqVNXDgQL3yyiuKiIjQnj17NHXqVF29elXvvPOO/vrrL2PIQuwQrkyZMrp9+7Z++eUXbdiwQdevX5ejo6Pc3NzUp0+fNH2oAvDkiD1JduzhoBaWN6Fms1mBgYG6cuWKLl26pHPnzuno0aNxJlpOrBonObHfFN+6dUtXrlzR5cuXdf78eR07dsxYhczSj5S4d++eUbmT1Bv82HMdWVt1k1KJzS1z9epV4wOnNR/0q1atqm3btslsNuvcuXOqWbOmTCaT+vbtq0mTJunevXsaNmyYRo0apRo1asjd3V2vvfaaKlSokOAHkLTsmxomk0nVqlVTtWrVNHToUN25c0f79u3Tnj17tH379jhDfefOnauiRYvGGV4ZO4B64403rD7vlStXVK1aNZnNZiOITWzFXgtbTmAeGRlpTJBepUqVJD/QSjF/58WLF0uKmcOucuXK8dok9f4h9rCpqKioJM8V+7kfGBiocuXKJdneFmK/9lj74btChQp6/fXXtX37dp07d069e/dW/vz55e7urjp16qhu3boqWbKkTfqX3FxQ1kjq+Zw9e3a98MILOnnyZLwvSTPT2bNnJcUMc0/u7xJ7VdkzZ84Yw91js/YxGvvL35RIz+tHcmLPBTp9+nRNnz7dqv0SC7adnZ1TtFCHrcV+HCZ3LSpYsKBKly6tK1euGI8Z6f8qFp2cnBKtRpVi5s2rWLGifH1909bpBMR+XD169CjJtmaz2ag+TqxaEgDSA6FbBnFwcEhx4BYVFaVRo0bJbDbrlVdekZeXV5yLxFtvvaVXX31Vbdq0UWBgoGbOnKmRI0dKUpyVvvz9/TVgwIA486g8evRIPj4+8vHx0TvvvKMhQ4ak8R4CyMrMZrMxXMvZ2TneG06z2ax169bp999/15EjRxQWFhbvGLb4ZnjHjh1avHix9u/fn+CcKmk5R+w+J1WpFLviwtZDkJI7f+yQr2DBgskeJ3blRux9+/Xrp+joaP344496+PChHj16pF27dmnXrl2aNGmSihQpoqZNm6p3797xrj1p2TetChQooKZNm6pp06aSYqpAJkyYYHyg/fnnn9W1a1djOKK18389zvLYCgoKMj7gx56vKb2FhIQYH/rT8neOLamVTWOHEcmFDbFDt4Se5+kh9nD0hIb3Jmbq1KkaM2aMVq9eLbPZrODgYK1bt07r1q2TJJUrV06tW7eWh4dHmqbIsEVlY3LztFmGsqdX0J8alr5YM8dc7MdxWh+jqZWe14/kpPW16HGZPaVLaq5FV65cibNf7PcUybHmHKkR+/eY3HD52K931i40AgC2QOiWhcWuAvj4448T/FamWLFi6t27t6ZNm6ZVq1bpiy++kL29vVFJYTKZ9MEHH+jRo0f68ssv1aJFC+XJk0dHjx7VpEmTdOjQIc2ePVsuLi7q2rVrht4/ABnn4sWLxjxVj6/i9+jRIw0ePDjOUD6TyaRSpUrp+eefV8WKFVWtWjUFBwenOqA3m80aMWKEli9fHufnxYsX1/PPP6/y5cvLzc1NefLkUe/evVN1jtiS+vBlqTyKiopKdJhUUlavXq2LFy+qdu3acnNzS/C1ObEPmCmtEIxdtfT4MQcMGKCuXbtq48aN2rx5s3x8fIzX/sDAQHl5een333/XDz/8EG9IVlr2TcqDBw9069Yt3b59W1WrVk32g7a7u7sWLVqkjh076vz58woODtaJEyeMiewtgZmzs7OxGrc1LFVryVV9pRdb/p1tLfbxM2qI1bFjx4zbSa0i+jgnJydNnDhRgwcP1r///qutW7fqyJEjRrXKmTNnNHnyZC1evFgLFixIclh5UtL7dy79Xxia2gqb1FYXJ8XSJ2vuf+zzZ/TQvIy+fiQk9nN01KhRcnNzs2q/xKrZMuIxl5TYf09r+mK5/7H/9pbnYXo8Nq1VtGhRY0Vmy/DfxFy/ft24nZLwHwDSitAtC4v9YbBcuXKJzoFhmRMiLCxMJ0+eVJUqVYw5esxms+7cuaMFCxbEmSC3Ro0aWrBggbp27arjx49r2rRpateuXaaWugNIP7FX9Xx8suPp06cbgZurq6s++OAD1apVK171x8qVK1N9/iVLlhgfmMqUKaPBgwerbt268aqP0jL8JPY33gnNU2bh5OSk6tWra+/evbp8+bKuXLmi0qVLW32eRYsW6dChQ/rf//6nefPmyd3d3ep9Y9/f27dvJ9s+dpuEKrXy5cunjh07qmPHjoqMjNTRo0e1a9cu/fvvvzp79qwePXqkoUOHasuWLfH+nmnZNzFfffWV1qxZI0n6559/rJqcPleuXOrSpYvGjRsnKW71oeU+3717V88//3yKr1EZMZQ4ufOm9O+c3hUYsatBkqpMsqWkXn+sUbp0afXr10/9+vXT/fv3tX//fu3YsUPr1q3TrVu3dO3aNY0YMULz58+3ZbdTJCQkJMmKH8vfOLGKy6QqFCMiIpJ8TUutfPnyKTAw0KrHaOyFLTK6Sigjrh/JiX2f7e3tU7RKbFYU+7F669atZFfytjxGYv8enJ2ddfHiRQUFBclsNicZ3qXX66+jo6OxInNyc1RaphqQpBdffDFd+gMACWEWySzM39/fuO3u7m7Mi/P4v759+xrtLB9WYq8U1rRp0wRXpHJ0dNTAgQMlxaxitH///vS6KwAy2bJlyyTFfKPdqlUr4+dRUVHGtrx582r+/Plq2LBhgiHL1atXU31+y3xVdnZ2+u2339SyZcsEP3wm9011UpycnIzgLbnVVWOvpOfl5WX1OY4fP27MG1S4cGHVqlUrRX0sXbq0EXTEniMvMYcPHzZuly1b1rh9/fp17dmzJ97COG5ubho4cKBWr15tDOG8e/euDhw4YJN9kxN7BckdO3ZYvV/s8Cf23GqWlTajoqK0b9++JI+xe/duzZkzR+vXr9edO3ck/d8HMknJruq5ZcsW1atXT927d0/RfU6Io6OjsRDAsWPHkq0Eif13jr2AQHqIHZ7Ych67xNy+fVubNm2SFPP4t7ZCyDIv3uN/i9y5c6t+/fr66quv9M8//xiBuY+PT4atxpqQc+fOJbotNDRUFy5ckKR48/VZFh5IKlRLy+tiUsqXLy8pphI6sWGQFrFfr9L7Mfq4jLh+JCf2SszJhXt3797VjBkztGrVqhSv1JpRLH97SfLz80uybWBgoDHyJvbf3hI8hoWF6dKlS4nuHx0dnegCMbZgmW/w9OnTSa48HfsaYqmmBoCMQOiWhSV14Uhun9gVH0l9KIz9jXNSbxgBPLmWLl1qvPFv2rRpnMnH79y5Y0xy7uLikmhFU0REhP7991/j/48P20tuuNHly5clxQR7SVWVrV692ridmsm2LZM5x56gPyGtW7c25itbtGiRVV86PHr0yJg3U5L69u2b7AT5j7OzszNW0Dx+/HicYXePu3z5srHyXYUKFYw5cX788UfVr19fvXv3TjSIMplMqlevnvF/y0p+adnXGrFX6ZwzZ44RfiVn27ZtkmIeH7ErSCyrt0pKsorJbDbrm2++0ffff6/BgwfHCV8slYgBAQE6ePBgosfYsmWLAgMDdeDAgTgr9aZ2GJhltdHbt29r48aNibYLCQkx5ijLnz9/goso2JLluWFnZ5eiCs/UGjdunDEMLfYiGcnp27evmjVrprfffjvRuefy5csXZ4L/1KySaiv//PNPotv+/PNP4/Us9nNL+r859m7fvp1o8GZ5fiQmtY9Ry/MrKipKf/zxR6LtwsPDtWLFCkkxIWHt2rVTdb7UyqjrR1K/xypVqhhB34YNG5IM+JYsWaKZM2dq2LBhRuCc1dSuXVsODg6SpOXLlyf5xcDSpUuN27FXbm3QoIFxO/bv/nFbt25N9Zx41rB8SRQVFaU///wzwTbh4eFGFXaFChUy5LUPACwI3bKwHDlySIqppjh9+rRV/9566y1JcVeQSmo4TuwP2Mmt+gPgybN+/XqNHz9eUszz/fPPP4+zPU+ePEalxblz5xKsZgsPD9eoUaPirFr2eBATe56ihD4gW4ayBAUFJfitutls1vTp07Vz585Ez2ENy3D7gICAJCs3HBwcNHbsWGXLlk2RkZEaMGBAnFDxcXfu3NF7771nhGRVqlSRh4dHivsnxQ0ehgwZEqfyyCIkJEQff/yxEW726dPH2Bb7g86UKVMSfO2Ojo42QoBs2bIZK3emZV9rVKxYUc2aNZMUU3n99ttvJ1lhFh0drVmzZhmhVI8ePeJUvTVu3Nj4cLR9+3b9+uuvCR5n8uTJRiVRo0aN4gTLHh4exofp0aNHKyQkJN7+hw4dMkKF2rVrx5kbzPLYTmyKh8T06tXLeG598803xmqmsYWHh+vzzz83Hquenp4pDnJTylJxUrFixXRdwS8qKkpTpkwxPuhWqlRJXbp0sXp/y2q1jx490pQpUxJsc+vWLWPoqouLS5yhb8m9JtnasmXLEgzHTp06pR9++EFSzGTybdq0ibPdUnEUERERJ9ywuHTpkn788cckz53ax2iHDh2MVUtnzJgRZ/VPi+joaH399ddGJdNbb71l1cILtpRR14/Yj5nHf5eOjo7Ga354eLg++uijOKvyWhw7dkw///yzpJj33507d05xPzJCwYIF1bp1a0kxj9EJEyYk2G7Pnj2aNWuWpJgFN2JXib/22mvGMM3Zs2cn+Le5fv26xo4da+vux1G3bl3jC7cZM2YY14LYxo8fb4wGSq95/wAgMczploVZ5le4c+eOwsLCUjT3SoUKFYzbSc1xEHseDyYVBZ4s//33n/GByeLhw4e6d++ezpw5I29vb6Oyx8HBQVOmTIm3GmWOHDnUoEEDbdy4UQ8fPlTPnj3Vt29flStXTuHh4Tp16pR+//33eG9iH/+w4ezsLAcHB0VERGjNmjWqU6eO8ubNq+eee0758+dX8+bNNW/ePEnSu+++q759+8rV1VUmk0lnz57VypUrdfTo0TjHTE21b+3atY0Prn5+fnEqpR7n7u6u0aNHa9SoUQoNDdWHH36oqlWrqmXLlqpYsaJy5MihW7duydfXVytXrjSCkTJlymjGjBlGlUBK1apVSz179pSXl5fOnz+vNm3ayNPTU9WrV5fJZNLRo0c1d+5cY9LnVq1aqW3btsb+FStWVNOmTbV+/Xr5+fmpTZs26tWrl55//nk5ODjI399fS5cuNT5At2vXzgih0rKvtcaPH6/r16/r8OHDOnXqlNq3b6/XX39dDRo0UOnSpZU7d26FhITo+PHjWrt2rc6cOSMppoLi/fffj3MsOzs7ff/99/L09FRERIQmTZqkffv2qX379ipevLiuXbumlStXGmFHvnz59MUXX8Q5Rvny5dW/f3/98ssvxpdTb7/9tqpUqaLQ0FD5+vpqwYIFioyMVI4cOfTll1/G2b9w4cK6cOGCTp8+reXLl6tChQrKly9fspP2u7i46LPPPtN3332nmzdvqkOHDurZs6fc3d2VI0cOnT59WvPmzTOeWzVq1NCAAQNS9LtOqZCQEKNqyFJxmVqPDxczm80KCwtTcHCwjh0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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.displot(np.log10(df[[\"Data\"]]), x=\"Data\", height=6, aspect=3, bins=50)\n", "plt.title(\"Data (Cross Section) Distribution after Log10\")" ] }, { "cell_type": "code", "execution_count": 112, "metadata": { "ExecuteTime": { "end_time": "2021-02-07T18:56:45.126411Z", "start_time": "2021-02-07T18:56:42.141405Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(20,8))\n", "ax1.hist(df.Data, bins=50)\n", "ax2.hist(df[[\"Data\"]], bins = 10 ** np.linspace(np.log10(df.Energy.min()), np.log10(df.Energy.max()), 50))\n", "ax2.set_xscale('log')\n", "ax2.set_xlabel('Cross Section (b)')\n", "# ax2.set_ylabel('Frequency')\n", "# ax1.get_yaxis().set_label_coords(-0.08,0.5)\n", "ax1.set_ylabel('Frequency')\n", "ax1.set_xlabel('Cross Section (b)')\n", "# ax2.get_yaxis().set_label_coords(-0.08,0.5)\n", "plt.savefig(os.path.join(figure_dir, \"xs_distribution_h.png\"), bbox_inches='tight', dpi=300)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Outliers in Energy and Data (Cross Section)\n", "\n", "It is difficult to detect outliers in this particular dataset. The following image shows the U-235(N,G) reaction channel. This is an example of a single reaction for a single isotope. Typical statistics techniques for outlier detection will categorize resonances (peaks) points as outliers, however, these are not. These are the most important quantum physics phenomena that we need to model and can therefore not be disregarded." ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "ExecuteTime": { "end_time": "2021-02-07T18:07:37.307241Z", "start_time": "2021-02-07T18:07:37.062241Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:root:Extracting samples from dataframe.\n", "INFO:root:EXFOR extracted DataFrame has shape: (10872, 104)\n" ] } ], "source": [ "u235_ng = exfor_utils.load_samples(df, 92, 235, 102)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "fig = plt.figure(figsize=(8, 6)) \n", "gs = gridspec.GridSpec(1, 2, width_ratios=[3, 1]) \n", "ax0 = plt.subplot(gs[0])\n", "ax0.plot(x, y)\n", "ax1 = plt.subplot(gs[1])\n", "ax1.plot(y, x)" ] }, { "cell_type": "code", "execution_count": 110, "metadata": { "ExecuteTime": { "end_time": "2021-02-07T18:56:00.209109Z", "start_time": "2021-02-07T18:55:57.638611Z" } }, "outputs": [ { "data": { "image/png": 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guW8HUV3A64CIxJZ/s9zo9iojiS7tYihbek3ZU0wl2iqPIlZ0KZQqrNmdarBdO6e0YnMKjl/IxkO3Na8+vasmD7plh3wiIiLyJqzo0hMcHIy+ffsiODhYs+3IkSPYs2cP+vfv77rAiJyI1wERia2g2Hii68f/Thts02lGb0PCqLxCIfg+mvOJVIolZppp++GrWLDimMF2iVZWacnfJ3HgdCbKyqsf+7nL+VYff++JdCxdI05PLwn0V4Zk5ouIiIici4kuCy5cuIAJEyagQ4cOGDFihKvDIXIJXgdEZK+osACj2zfuv2KwTadHl4neXuYcv5At+D6a84mV6LJwmFvbN7T6WKUmEncSI7/FlZRb6B2m50pmId5bsg+/rD8r6H6m6FeSuWgGJREREXkxJrrM2L9/Px599FHUq1cPCxcuhI+Pj6tDInI6XgdEJAYhCSTtii6V1rZNB66gssp4ry+xWKogs/Zx6Cd89Kdg+sjt/xXMWLWUSuDT8/xHm+yOg4iIiMidMNFlwl9//YUxY8agTZs2+PHHHxEeHu7qkIicjtcBEYlFSK8t7ZHqpNeuY+mY+/MhLPn7pMiR6bIUp6mm+gb0DnP9RpHObUdVOonWY8xWeqd3dThERETkfZjoMmL16tV49dVXceedd2LhwoU6fYqIvAWvAyISk5CKLu2x6p8uXq9eCGP19otihmVAZSHO/MIK645jYb9ESKbLRLbIWMN5V08V1I/o4NlMl8RBRERE3ourLurJyMjAW2+9he7du2Pq1KnIz8/X7PPx8WFFC3kFXgdEJDYhlUbGhlZU2t5gXgiFhTjLKqqsOo6lh1sv3HjPMqPHMrF917F0tE+qp7OtYXT1HyWCA9xjmnmVg6eaEhEREemrMxVdK1asQMuWLXHgwAGTY3bt2oUnnngC3bt3R6dOnfD4449j+/btOmPWrVuH0tJS7NmzB3369EHv3r01/z333HOOfhhEduF1QETuSlCPLu3UTs2Pgiqg7GApTut7axk/zh094wAAEaH+AqIybufR6yb3xUQF2n18W6j0MnxSqe7rtunAFew5ke7MkIiIiMjL1ImKrsOHD+Pdd981O2bFihWYNm0afH190aNHDyiVSuzduxfjxo3DjBkzNCvJPfHEE3jiiSecETaRqHgd2C73Zhl85VIEB/q6OhSiOqtRPeunPxurhmrZLELEaEyzlOiytjBNpdJrql/zsy35OlN3cXk/LivoJyjn/nwIALB69jBXhENERERewOMTXevWrcPrr7+OkpISk2OysrIwffp0hISEYNmyZWjRogUA4NixYxgzZgzef/999O/fHzExMc4Km0hUvA7s8+Q7awHwixeRIyU1Drd6rO6qi9U/+/vKxA7JKEuFZ8b6Yhkdp7J8LHvpV0+5A/2QwoP9XBMIEREReS2PnbqYkZGBV199FRMnToRSqUR0dLTJsT/99BMqKiowevRozZd7AGjfvj3GjRuH8vJyLF++3BlhE4mK14G4MnNNJwqJyD629uhS/yypqWtqkxAlZlgGLE6xtPJhpOcU6zwQR6SkhEwHdZWmDUJcHQIRERF5GY9NdM2bNw+rVq1C27ZtsXz5ciQkJJgcq+4/NGjQIIN9gwcPBgBs27bNMYESORCvA3FN/GQT1uxOdcsqCSJPJ+S60k6KnbucZ7DNkSydx9oo1uxO1R1rT/gm5jsKfU6y80sxdMoqbDt81Y5gzLO24o2IiIjIUTw20ZWQkIBZs2bht99+Q8uWLU2OU6lUSElJgVQqNZoEiIuLg1QqRUpKCr/cksfhdSCeyFB/tGgagS9+P4rpX+/GjbxSV4dEVKcIKj7SGptTUFZ9/5oDKBTireIXFxtqsM1yjy4hlWn2V3QVFJWjsLjC6D5joZpLNKWm3wQAbDxwxcZorOCd/4QQERGRG/HYHl3jx4+3alxBQQEqKioQGRkJX1/DRtNyuRwRERHIyclBcXExgoOtb5ZL5Gq8DsSh7s2lUqnw3+5ULFl9EhM+2YSnh7XDbV2bOG21N6K6zNaKLjVFTVbnTFqeaDFJjVzbYk4H1J2CqTK904zHpq8xue+JO1uZPafhvpqG+Fad2X3lF5YjJNAHMpnH/r2WiIiIHKjO/4ZQWlpdlREQEGByjL9/9RLfxcXFTomJyNl4HVhHIpHgrl7x+OyVAUhoFIZPlx/Gu9/uRU4Bq7uI7CUk0aWu4tKWkSPss8nW6lSLUxcFHFZ7qDqB9t+u1JrzCAzMiPAQYY3e1ae0Nnl/8mKO4OfR0QVdFZUKPP5/a/Dekn0OPhMRERF5qjqf6JJKLT9Eb52qRd6D14EwDaKC8P6zt+Lp+9ri6PlsTPh4M7YcvMLniMgOQhI76mSQtm9XnxT9fMam+Z26lCvoPGaPrxWEQUGXCCkhYx9JZj+nanYdOJ2J2csOmj32N3+dwOtf7MDHP5kfJ+j8IkivSXgeOJ3p0PMQERGR56rzia7AwEAAQHl5uckx6n3mql2IPBmvA+GkUgnu7ZOI+VP6o0lMCGYvO4SZ3+9HXqFhpQmRN6pSKDHtyx04dSnHqvFXMgutPrYYSSBrpiAay8lYilNQjy6dnw0yXXYzdghzh9WOfctB8w3p1+5JAwBsP3LNhsgcR6HgHxyIiIjIvDqf6AoODkZgYCDy8vJQVVVlsL+qqgp5eXnw8/NDaKhhU1qiuoDXge0a1QvGzBd6Y8w9bXDgdCZe+Giz233xI3KFjJxinLiQg09/OWzV+JVbL1h9bO1cUuP6tvUMrKxS2HQ/SwT11FeZrugSpRWY0ZIuEY5rx4FY+EpERESuVucTXRKJBElJSVAoFEhNTTXYf+nSJSiVSrRo0cL5wRE5Ca8D+8ikEgwfkIRPX+6PBlGB+OjHA5j1w34UFJmukCOq68RcpKFKbyVF7QTR1awim44pYk95XUJ6dGmNNez95ZgAi8sqTccj4DgOe/7sxCnkREREZEmdT3QBQJ8+fQAAGzZsMNin3tavXz+nxkTkbLwO7NckJgQfT+yDx+9shT0n0jHh483YfTzd1WEReby9JzN0bouRylj632nsPn7d7BhHJ010pi4q9fY5aOqienVKY2lIQdMuzQw9k5aLsgrD6mCh57AF01xERERkiVckuoYPHw4/Pz8sWrQIJ06c0Gw/fvw4Fi9eDH9/fzz66KMujJDI8XgdiEMmk+LhQS0w96X+iAzzxwff7cPsZQdRVFLh6tCIDBw4nQmFXrWUWNbV9HC6WWz/e/+0XgN4MZIlf++8hA++2292TFqG9X3D1ARFpvU49Cu6xHiMRmcuilSKZSq+3JtlmDp/u9VTVomIiIiczSsSXY0bN8Zrr72GoqIiPPLIIxg3bhzGjh2LkSNHori4GDNmzEBUVJSrwyRyKF4H4oqLDcXsyX3x6JCW2H74Gl74eBP2n8qwfEciJzl0NgvvLN6DX9afc8jx1+5JBQAUlZqeKmcrd52dduRcFtKzi03u15+CqZ1zyszVvZ84j9HwIOothSWVBo31LZ1z6JRVmoowU2PLyqsruS5cK7AyIiIiIiLnkrs6AGcZNWoUGjZsiMWLF+PgwYPw9fVFp06d8Nxzz6Fnz56uDo/IKXgdiEsuk2Lk7cno2qYBPv3lMGZ8sxeDujbFuGFtERTg4+rwyMvlF1b3kMvINZ2YsYuIPbr0D3X0/A2bjuMrl6KiyjEVbADw1sLdZveXV+g2wNeuirp0/SYuaiWHHNWLXr3aZGZuCZ7/aBNWzx4m6JxVCiVkUpmgCA+dyYKfrwxtEqJEeWAnLmTD10eGFk0j7D8YEREReZ06k+j68ccfLY4ZMGAABgwY4IRoiFyD14FrJDUOx5wX++KX9efw+6bzOHIuCxNHdESnlvVdHRoRth2+himPdhb9uFKBea77+yfhzy0pRvfpJ2xKyoz3f7LEnRqoJzUO07mtVKpw9nKe5rajelmZPayAU/Zs1xDbj1xDxxb1LI6dvqg6AaidVLNkxeYUDB+QpLl96EwWpi/ajZ/fvRPTvtxp8nj2pFfPX8lDfMMwyGVeMaGBiIjIa/FfeiIiEfjIZXj8zlb4eGIfBPjLMf3r3fji96MoMbMCGpEzKJUqlFcqLA8USOiqi+YSY4YrEpoWGepvZq9rM13aZ2+TEK3zuJRKlc5zIEozejMVXcbjs/6kiY2qE3VxDcMsjNQ/h3WW/H1S5/avG6un2F66flPQ+ayVln4TL8/bhh/+Pe2Q4xMREZH7YKKLiEhELZpGYN5L/TG8fxLW7knFxNlbcCzFtmlYRO5MaBN6c4kd/eRMy2amp6yZS5ipVECAnwuL1bUe5KptF3SyPkqVClKt5KCQpJOZE1o9csXm85j1wwHLR9R7ofSfbktntLVSTf3UiPO8GMorLAMAXLia75DjExERkftgoouISGS+PjKMGdoGs17oA7lUgje+2oWFK45pmjgTqSmVKvy946KDKq5qfxY6zdARzM6o00uOnE3LMzESkJp5MAqlCuUV7nOdaT+q6PAAnQovR1V0yeXGn5+/d16y7Rwmtov9lioprX7dLD0vQisJdx9PR+7NMs1xpSL2liMiIiL3xEQXEZGDtIqPxKdT+uPevgn4Z9clTJq9BScv5rg6LHIjO45ew8I/j2PZmjOiH/vajSLRj6mteZNwAED3Ng2sGm9vT6r+nRsDAIIDfI3uVz9ed+rTpf2YfeQynWb1p1Nz7T++kW2mHr+16Z2cgurKJ2fngy5er27Uf1VvpUh7VFYp8cF3+/DGVztrE2jMcxEREdV5THQRETmQv68cTw9rhw+euxUqqDDtyx1YvOqEQyp4yPOcuFCd+Px75yWs25sm6rGXrz+n+dkRfc/PX8kHAOw9mSH+wY2IDKnuzWVqalupjQ3srZFTUAqFQvhqjrrPu27kh85k4Xq2+MlIkwlFKzNXRSW6U1KFJijtfa+J+dmoUFa/Zlm5JZpnn3kuIiKiuo+JLiIiJ2ibGI35Uwbgzp5xWLXtAibP3owzafZXdJBn+293KgCgolKBz3494tJYHM1cAsSa6WjqaX+mjuOo3k4FReUYPWMdPvvtiMWx+hGc01plUak0jP2ZmRvtik1IM/qs3BKBR7ctJSTmapJ5hWV47fPtyLtZZtPx1UMlUkntz5y6SEREVOcx0UVE5CQBfnI890AHvPdML1RUKfHaZ9vx3d8nUcHqLnIwd5jNt/3IVZvvW1ll+Roxt9qgPV77fDsAYOP+KxbHXs7QnXZXPyJQ65YKMpGbpZWWG67qau/T4E6JoEUrT+DUpVz8s8vG/mI12S3tKaNu9PCIiIjIQZjoIiJysg4t6uHzVwZgULdm+GNzCl6cuxUpNdPAyHvsOnbd1SGIxpoqm9yb5TYfv6SsSlPRlZVnvDLJEdMzAeDajWKrx2onVPSpVEBMZKDJ/bbYfTzdyHkc80QcOpOF/32502JC0WCvwHC0w99+5JrBNkuHO56SjQ37LhvcT/3+cadEHhERETkGE11ERC4Q6O+DiQ/fgv97ugdKyioxZf42/LTmNCqrhPcBIs808/v9TjuXo5Iftce37/7/WLEi4F/bLgKoTnq5K3PTJx3xCvRs19DwPHa+GBE1vdD0ffTjfhy/kI3iMsMqMt0A7Dq9UerU1KGzWSguMX/+/321E58uP+yoUIiIiMgDMNFFRORCnZNj8PnUgejfqTGWrz+HKZ9uxaWa1ceIPIW7J9IcZfNB3emM2r2kAN3El0qlgo9c3F+7jBUn2ftcmUrWqSuhVBZy8Qb3F6GASgWguLQS07/ejfeW7LX6fjrVZzU/Ovq9SkRERK7HRBcRkYsFB/jgpZGd8OaYbsgvLMdLc7fil/VnUWXDKm9ERjn4u701h++cXN/s/tOXTC/O4IhG8zfySu0+xpxlh3Rubzt8zex4sXMsxo4nJJFzs7jCcKOmabvuZvVtzeqFDpoBaCz6nUevo6yiupKvzMz00LN6C3xoPxeVNZ+nB89k2R8kERERuTUmuoiI3ET3trH4fOpA9O7QCEvXnMHU+duQlnHT1WERWWRNcsXSiP2nM2y/M4CgAB/Lg7Rczy4SNN4aUr1m89oVRUqVStMnypxL1wusar5fzfB4QpJpxhbC0I+x9qbEquMb7BeY3DOWP7t2owi/bTxv8j5bDl3FgdOZ2H8602QsXPSDiIjIezDRRUTkRkKDfPHKY53x+pNdcSO/FC/O2YrfN52HgtVdHm/tnlQMnbIKh85kYeiUVU49t6Mnazl6Nph+Fc+iVcfx3d8ndbYdOXcDANA2McqxwZjh6yPTuf3Zr0c0P0eHBVi8f05BKSbN3oKv/jhm1fmMPe9CVl20JvGm5qgKrg++24dXP9uuub1s3Vmj43IKTFfgzV56EO8s3mPwfJhKwFqfSCQiIiJPxEQXEZEburV9Q3wxdSC6t2mA7/85hdc+34GrWYWuDovssGR1dWLmz60pLo5EuF3HriMjx/Tqg1alS+xIhlXoJSb+2nYRf2zWfR4XrzoOALh0zboed2ImbhavOoEth66iU0vd6ZlpGbXXbJOYEIuJpaLS6kbrZ9LyAFiulDO2OzPX+lUipUaeBP1j6g8R3OPKwvO8+3g6TqfWTjk0VXll7LSHzmbpjdEdZOr5fmvhboNtSqUKc5YdxJk001NoiYiIyDPIXR0AiWPTpk1Yv3696MedNm2aXfcfPHgwBg4cKFI0RN4lLNgPrz3RBTuOXMdXK45i8uwtePyuVhjaJxEyqYPKK8hh1JU26sojU9Kzi/Hn1hQ8c3970V5nextwz/x+P3zlUvwxa6jx41tRRmQpBomZzJM14atDKLZyVUZrn5LIUH/k6jWZ17dq2wUAwISHbtFsa5MQhZMXc7TOp7KY7CsoKgcAXMmsTpBZfloNB5ib4mdwb2M9vvSOqR6j6dFlceqiflmV1eEINv3r3Vg9e5jWufVjMX4/7ddFrai0EpsPVk+BXPbuXWKGSURERE7Gii4iIjcmkUjQp2MjfDF1IDq2rI9v/jqJ/325wyH9hcjRLH/jv5JZiFk/7sd/u1Jx8Vq+40MSoKLK9PRZa3IZlsbor1hoSmiQr1XjLLG2oqt9UrTVx9SeEhce7KezTwXLUwUP6TVKV1rIdJWUVeH7f06h0sxrY47RJv+mmtHXlGZZegym9pZVVDm9WkrI1EwiIiKqO1jRVUcMHDjQ7sqpoUMN/1I/c+ZMu45JROKICPXHG2O6YfPBq/h65XFM/GQLRt/dGnffGm/QAJvcT0FROUrLLfcFev6jTUhsHOaEiMRlVcWYhSHr913G0D4JiIkMNHt8e6vT1CSW5tTVaJcUjS2Hrlo1ds3uVM3PBkkkleVqKJlM9++PCqX5BNbyDecAAA2igqyKz4DpPJfWbYEVWib2f/PXSZ3nxxmEvFXEel8RERGR67GiizRuu+02nduDBw92USREZIxEIsHALk3wxdQBaJcYha9XHsebC3aZ7Z1E7kG/n5Q5jkhbKoR0KLeBWDmCSbO3IDvfdNNxQFizdTEIeWzalVXGptFZSqbo98yyVNGlZikhZoqxo9fGaFDSVX0ugS+2OlGWcjVf0P302fIetvb5IyIiorqFiS7SePHFF3VuT5o0yTWBEJFZUWEBmD6uByY+fAtSruZj0uzN+G93KisS3JgtySt7Xk7998KRs+b7gplTbqI5uM75LOxPS7+JI+eti8FYhaJOwsKGJ0ahVGH5+rMoKasUfF8hTabMjVQZnyioQ/+xOz5BaXh8U0+vOjJLySOTfbLs/HxKTb8p+D5KnUpAu05PREREHoSJLtIRGhoKgNVcRO5OIpFgSPdm+HzqALRsGokvfz+Kt7/ejRt55qthyP2lXLVu1UBzqhR6FT42ZNqqFEqUVyrwW830OLMsZBEmfLLZ6vMa6zelfXhbcj97jqfjpzVn8G3NypeAY6p9YiIMp12qWVPRldioetpqgJ8MAKBQ2B+jSqXSNLk3FpO1apvRm6j4ApCdX2rYzF7v/zYzEay551T3NbY2Ak4FJyIi8nRMdJGOpk2bom3btqzmIvIQ9SMCMeOZnnj+gfY4k5qLCZ9swvq9aazucjPWNj4X8Yw6t2xZvfGluVvx4Ot/o6Tc8iqGYuaMJs3eYrDt4NlMzc9C39sVlQpNVVp5RW112tEU6yrM/HxkVp9LLq/9tUpItZSaT839WzaNBGAkYWkDlcr01FljNWaWnt+Pfzpocp+x1QzFYtWCB3qxs6KLiIjIOzHRRUTk4SQSCe7sFY/PXhmAhEZhmP/rEcz4Zi9yCljd5cmmfLoNmw5cgVKpwvYj1yxWIFVUKpBbs3Kh/hS96PAAwedXTxWzJrFkbExOQSm2HLwi+LzG/PTfmdpzCbxv9WqR6qUEhZ9byPkOnNZOyOkdR6Wy+Fzq7xUl0QUzr6EVzehrN1Q/eaVmEp/V57J8DluYfAha2/Vj075mzD31D077Gy/P22pPeERERORGmOgiIqojGkQF4f1nb8XT97XFsZRsvPDxZmw+eIXVXR5s3d40rN2bho9+PIA1e1LNjn3v27148p21AIDHpq/R2WfXe8CaBRWNjHlr4S7MXnbIxr5YZs4lsHzs6Pkbmvi0m73vPp5u8b4b919GZm6JoPOp6fc2U8GKyje9WYHGpnEKplJh5dYLZk9nbKN+FaKtVYmWO5NZR2nFe3jb4Wu697Fy6mJ5hQJZNdO+nV99SURERGJjoouIqA6RSiW4t08iPpvSH01jQjBn2SF88N0+5BWWuTo0slF+TZWWpf5rh8+Znor35xbjiQ5rWJNgMFZ5lFNQHbfYeVah0yQlqE30FZfWJt2uZhWZP49ShXm/HMbSNWfMjissqTC6/Yj+62G03Mm41OvV1XTWVnSZO6y5MxqrErSrIEulMkjIqmO7YG/vOSuK0mQyvVUrtZ6YfacyQURERN6BiS4iojqoYb1gzHyhN54a2gYHz2ThhY82Y/uRa5bvSG5n2bqzAIDfN5032LdubxqGTlllMtmitvPYdZvPfzmz0OKYv7ZftPn4wgnPnN0srk5w7T2ZIXYwyMyxruJLBZXVSbr8mubx4jSjFzbe1BRZawqdVHBcny5rEq7aveiOX8jWSWZeuJrviLCIiIjIDTHRRURUR8mkEtzfPwmfvtwfsdGB+OjHA/jwh/0mV2AjxxFlCpoR/+y4BADIsnF6nTWsSbYYm57oqCmztjS+r6xSGGyT2tCg3x7VT4dh8K9/sQMA8PPaM/h7Z23CsKy8Cqnp9q/AaS4xaOw1WrVNt/pP8yxZOafPUTOlTR5XZ0dtjP/7cifmLDtUO8zK83DqIhERkedjoouIqI5rEhOCjyb0wRN3tcLeExmY8PFm7D5ue4UPCSdWxdPQKavw7jd7NbfF6n9kjjWVNPryCstQWl6dXBI7QlsSaMbuIRUro2HtYVSA0ki+U10BtWzdWezXml73/pJ9+HT5EcHh9O/UWPe0Aqc1ZueXWhxjjv7rI17C077jGOvtlpFTbNBLTWLLigVERETkVpjoIiLyAjKZFA/d1gLzXuqHqHB/fPDdfsxeetDilDdyLWO5mH2nDKffSRxZhmJDfsGRFWa25E1SruQbbLNU0SX2U1qdlLQ++CPnTfdcMyci1F/vvGaDMqCoSQjpP3xrm9MbrDZp7vwCFJYYX9TA2uNHhuk+LwqlCk9/sAEf/3hAdyDzXERERB6PiS4iIi/SLDYUn0zqi0dvT8b2I9fwwkebjCZOiNS0K7pmLz1odJqifhXQxWtiTLmzzsc/HcCot/8zuT+/qFynN9eZ1FwAuv2cjBE7eahS2TbtUvh5dE9SUWk4bVPNWLWefo8u9ettVY8uE9Mz3UGPtrE6t9WP8+AZ3Sb1zHMRERF5Pia6iIi8jFwmxcghLTF7cl+EBfvh3W/2Yt4vh1BUarxigtyXo/ohadNe+W/Loav4baNhU/yDZ7J0bn/5xzGHx6W27fA13Cw2XZn4lV4sUz/bjqtZhWYrtsoqqqw+v4CZi055vfTP8ehbppOAxqiTX+r/b9x/pfq2lVk6g2EqoLTc+udTKGufU4NKM80G3VeQPbqIiIg8HxNdREReKrFxOOa82A8PD2qBzQevYuLHm3BIL2FBrlVSZl2CwJYv55VVSmTllWDolFVmV2W8dP2mzm3BPZeckd0RqKik0uzjeGjaPygWO/GrclyDfu3nWEjfNmPhqBNa+omt7IIyndvGk4sqg4IulUqFmd/tszomR9GvXtOkuQyuHWa6iIiIPB0TXUREXsxHLsXjd7bCxxP7IMBfjumLduPz344YnZ5GzmftFEBb8ifTv96Nse+tBwD8vsmwSkuscz330SZhd7BTSKCPVePUzfJNEbvCUeWUpQOAHUeuWT3WWOJNnRCy9DqbqqLTf5QqAIfP2dZvzDq158u9WWZylH7iTv3Y9aeosqKLiIjI8zHRRUREaNE0AvNe6o8HBiRh/d40TPxkM47a2AzbldbtTcORc95XlXbxWr7g+xy/kG3z+cwlFPTlF5bbfB5b9NNbddBdqBxZ0aUl96b1z7exaBQK22OsfozWj9930nn9AQ0TXdX/N2iy76R4iIiIyHGY6CIiIgCAr48Mo+9pg1kT+kAuk+LNBbuwYMUxh/bXEdv3/5zCf7tTXR2G06g0/ZRqtwlJQmk7npJtVZJw04ErePKdtUb3KZUqfPXHUZvOb4siI6uGKqzoJZVjxXNkbcLD0uqN2txtFqexxFtq+k0jI20/prnHfCYt165zWTq+NoOpizW3DV6+mszXmdRcDJ2yCplaK4i+8uk2TPxks82xEhERkXMw0UVERDqS4yLx6ZT+uLdvAv7ddQmTZm/GyYs5rg7LoqLSStwsrkBZhfkpaXWdqSSUJf/7aifeWrjb4rj8ItMVQ2kZN/HvrlSbzm+LkUYarfvKZRbv9+H3+y2OycgttioGa1dnVKlUTqnoEsJcOOJF6tjHbO3RTVV0mWpGv25vGgDgiNa0y7OX8+xOBBIREZHjMdFFREQG/H3leHpYO3zw3K0AgGlf7sDiVSdQXum+SaTrN4oAAOVekOhSJ0wckUK4mlXogKM6j6+POL/avPHVLqvGnbucZ9U4FQyrikTjgMZS1iTlzl3OM6igKyzR7W1m7jDWJgnFoF/oZ6oZvfqmulJP/TyMelvY6pVERETkOkx0ERGRSW0To/HZlAG4q1c8Vm27gMmzN+PUJfes7krPrq7AKa/wnKmWtjqdat+UL4VCaXLfc7M2WZ28cUcBfnKnnu+otY3WVXB0cZNg9laYTfl0G37feE7rePZGJJy1j0G/ogsmmtGrM1/q7erjazff/3rlcberziMiIqJaTHQREZFZ/n5yPDu8Pd57thcqFSq8/sUOLFp5HGVu1rvrek2iyxumLpZVKKBQqnA5w7bqqz+3XtDdoPelXf1ckmWVZpKG2lQqlUFVkWhsTLqY678XHOir+TmnoNTkuEsWpvK5SzpIv5pO/VoYtOhS/7/mB6VSZVDJunr7RRQUGV91koiIiFzPuX/2JAOLFi3CxYsXXR2GhjqWadOmuTgSXQkJCXj66addHQaRV+vQvB4+f2UAfvjnFP7afhH7T2Vi4ohb0C4x2tWhAQCuZ1dPXbx2owgFReUIC/ZzcUSOo1SqsOdEuuZ2ytV8Qfe3tNqdQfWLC9zTOx5/77jk6jBEk3uzTNRpocEBPigqrZ4maE0DfmN+XnfW5D4fWW0KaPSMdSbHaSeKTlw0XMkz30zj//2nRFh10cqHrjLo0WW8osvYbMoKI1O2K6rqfkKdiIjIUzHR5WIXL17EiVNnIfMPd3UoAABlVXUT39MXM10cSS1FWb6rQyCiGgF+cjwzvD16dWiIz5Yfwf++3Im7b43Hk3e3dvqUMX3qqYsqFfDY9DVYPXuYS+NxJKVKhcqq2kqi/6xsAJ9XWIa1e9IsTn10h0SXp7C2zdSXfxxzWAzFZbZVVxpL4KhZWySmnSjauP+Kwf4Ffx43ed9L153X2F1h4gEZ9uiq2aDVxEtmZGVNidXrchIREZGz2fyt5OrVq7h27Rpyc3NRWFgIX19fREdHIy4uDo0bNxYzxjpP5h+OwGa3uToMt1WSttHVIRCRnnaJ0Zg/pT9+XHMaq7dfxP7TmZj00C3o0KKey2K6fsN7ptvpV6dY67XPd2gSgjr0vu07rGm6AI3qBbs6BKu4KuEhRh9317/K9rPmMfj6yMysuqhHL89lJMdVPYx5LiIiIrdldaJLpVJh69atWLNmDfbu3YuMDNPl5lFRUejTpw+GDh2KXr16iRIoERG5F3+/6pUZb23fEJ/+chhvLtyFO3rGYcw9rRHo7+PUWIpKKlBYUoEAP7nZvkN1hVKlEtyXqaikwniSCzA41o080z2ZnKVTy/o23c+ZK/kBwM5j1516PmMUSuv6hOlTmbmbte8uT0j4VFQqDBNdNY9Qqj91Ub1ffU14wgMkIiIiHRYTXVVVVfjtt9+waNEipKena/7hl8vliI2NRXBwMAICAlBYWIi8vDzk5+cjOzsbf/75J1auXImkpCSMHz8ed999N6RS9r4nIqprWsdHYf4rA7B0zRms2pqCA6czMfHhW2xOVNhC3Tw9LjZUMy1PpVI5PenhLLkFZQgKEJZMHPnWfyb3pVwt0Ln9y3rTvZvIOYICfFBc04PLkovXCiwPMqKguNym+wkVFuzrsObtVq+6qDJR0WV80UXNfgmAM2mGq5Cq96tUKvzw72kM6tbUY6oQiYiI6jqzia6dO3fivffew6VLl+Dn54fBgwfj1ltvRadOnRAXFwcfH8NfsisqKnDy5EkcPnwYO3bswJ49e/Dqq6/iiy++wHvvvYcuXbo47MEQEZFr+PnI8NTQNujVPhaf/nIY07/ejcHdmmLsvW0FJ2RsoU50Na4frEl0Pf5/a7DkrdvhI697f2RZ8OdxvPxoJ1eHocPWhuje5NYODbHzqGEFmLFkjZAUra3TJ80l0qwtGNx2+JrFMT4y11+D+o9H/ZwbTk2U6OxfuyfVIBEM1FaEZeWV4vdN57Hz2HV8PW2Q0XMfOpOF5LgIQZWuJy/m4EpmIYZ0bwapqfmTREREZJTJ3zzefvttjB07FhUVFZg+fTp27tyJ+fPnY8SIEWjevLnRJBcA+Pr6omPHjnjqqafw7bffYvPmzZg0aRLKysrwxBNPYMaMGQ57MI60cOFCjBw50tVhELkUrwOyJLlZJD59uT8eHNgcG/dfxgsfb8KB045f3CL9RhEkEqBX+4aabQVFFThyLsvh53YVN2ijpUPMFQXrqtBAX4QF+xpst3f6o62Fi+aTk272BrOT6R5d5lddTMsw8b6uub962qipyrKsvBJMX7Qbc5YdEhIuXv9iB774/Sj+2Vl3Vh4lIiJyFpOJrg0bNuCtt97C2rVrMXLkSAQH21aOHRMTg+eeew7r1q3DlClT8O+//9ocrKssXboUc+fOdXUYRC7F64Cs5esjw5N3t8Ynk/siOMAH7yzeg7k/H0JRiWOmLgHA9ZxiRIcHoHOy7nTJEhtXo/MEWw4arnDnSgpF3UqMOIIKxnuI5RcaTiG0NO22sMS6aY1m43G3bKkDmUp0Gay6qDd10dQKpOqtJy7kAAAyckqMjlOvbGlrIvjajSKd21cyC5FT4PoeekRERO7MZKJr3bp1GDVqFORycZaL9/X1xdixY7FhwwZRjucMmZmZePbZZ/HJJ58gPj7e1eEQuQSvA7JV8yYRmPtSP4wY1AJbDl3FCx9vwt4T6Q45V/qNYsRGBUEikUCuNU3q4rUCPP5/a5ByJd8h53WlIiv7NznLhz/sd3UIbi+/sAw3iwyTWsamphU6MDGsZq6gy1NyYFZPsTyiO8VSPfVQP6F4JbMICqVKs9/U4feeSMeNvFKL/dHU8ZlKhFmi31vs+Y82YfSMdTYdi4iIyFuYTHTZWsFliaOO6wgnT55EUFAQ/vrrL3To0MHV4RC5BK8DsoePXIbH7myFOZP7IizYD+8t2YdPfjqIm8Xifom/nl2EhjWNoJVaK9BtOngF+YXleGneVlHPR4bSs4sxY/Ee0Y4XExlo0/3cuZvRnhMZRpNL9iaVbJ26aKpayRuYW1QxJ79Upxm9MYtWncDE2Zux6cBls+c5m1bdM9DmHnbe+xIRERHZzK5yrdzcXKSmpqKsrAwhISFISEhAUFCQWLG53MCBAzFw4EBXh0HkUrwOSAyJjcMxe3I//L7xHJZvOIej52/guQfa6/TUslVhSQUKSyrRMLr63x/190mZVKIzJezA6Ux0aRVj9/nchcneQS6UXVAm2rFkRhqYd06uj4Nn6l7ftcsZNwWNbxITgiuZta+/I1YXFTO/Iub7Qp+tcaqnbd7IM5wGqP18Vv9s/Cz6zfwzc0uMJGhNvzZXswqxZncaxt7bxuRryDwXERGRcDYluv7991988803OHXqlM52qVSKrl274oUXXkDXrl1FCZCIiOoGH7kUI29PRo92sZj3y2HM/H4/endoiGeHt0dYsJ/Nx02vWXExNlr3Dy1R4QHIyq2dLnTqUk6dSnSpe/94E5nU9av3OcK/u1IFjf/y1YEYOmWVY4JRq2tzFwXcTSKpTYRVKZSmB+oRek3OWLwX6TnFuPvWeIPPLyIiIrKd4N8Y33zzTUyZMgUnT56ESqVCcHAw6tevj6CgICgUCuzZswdPPvkkvvvuOweES0REni6+YRhmT+6Lx+5Mxp4T6ZjwyWa7mitfr2nWrK7oahJTPYUxMkQ3eWasDxJ5FgcULpGHu5JZZHmQESoLtVK2pM+Mf8aYPpJCpe4TBmTkFBtdHMCbFgwgIiISi6BE1+rVq/H777/Dx8cHkydPxtatW7F//35s3boVBw4cwIYNG/DUU09BIpFg1qxZ2LNHvF4dRERUd8hlUowY1BKzJ/dDSVkVPv/tqM1f6NKziyGRAA2iqhNdHzzXGx88fyvC9RJd/L7o+ZjoqhUd5q/5WUjVkbU85XJ59fPttt3RQkWXLU+ArW/PC9cK8PQHG7B6x0Ubj0BERETaBCW6fv75Z0gkEsyePRvPPfccYmJ0p4A0btwYr776Kv7v//4PKpUKixYtEjVYIiKqWxIaheGJu1rhwOlMbD541aZjXM8uRnR4AHx9ZACA8BA/tEuMxpN3t9YZ9+uGc7ia5X59rYhsEeDvo/l5/6lMF0bimczlsSQSiW2JcSOZLrPHqdmZmVM9/frkxRwbTkpERET6BCW6zpw5gyZNmmDw4MFmxz300EOIjY3F0aNH7QqOiIjqvnt6J6BVXCS+XnkcuTeFN62+nl2kmbaorXH9EHz5qu5CCsdSsm2Ok1zPmqbr3lL15cjHOXTKKoNG63WNuQrS6oIu4ZkuqcAXRX0GaU3vOW9eBZOIiEhMghJdcrkcgYHWLfcdERHhkr4CK1asQMuWLXHgwAGTY3bt2oUnnngC3bt3R6dOnfD4449j+3YbS9+J3BCvA/IkMqkEkx/piMpKBb6wYQpjenYxGkYHG90X4Ke75srOo9dxI6/UIVO9yPGEJhKs4SOv/lVIbmSVR3fm6HxeptZCDnWR2Y8ZG6cuWiPvZhkUep8/5t7WpuIsK6/CoTq4AikREZEYBP1W161bN5w/fx6XLl0yOy4zMxPnz59Hp06d7ApOqMOHD+Pdd981O2bFihUYM2YMDh8+jPbt26Njx444fPgwxo0bh+XLl5u834cffoiff/5Z7JCJRMfrgDxRo3rBePyuVth3KgNbD1k/hbGwpAKFJZVoWM/4imXaXyC7tW6AnIIyPPXeOsz7+bC9IROA6PAAQePfe6aXfSe0IrtjTdWXMT5yzyoFs/VxWuvIuRsOPb6rma/oktiU59J/TQ6fzUKVVpVWUUkFnnhnLb5dfRK/bzqPG3mlNbEYvz8AVFQZX8nxs9+OYPqi3ZrFOIiIiKiWoETXlClTEBgYiGeffRYpKSlGx2RmZuKFF16AXC7HlClTRAnSGuvWrcPYsWNRUmL6L5BZWVmYPn06QkJC8Mcff2DRokX45ptvsGzZMgQHB+P9999HZib7XJDn4nVAnmxon0QkN4vAwj+PI8/KKYzqL3mxUaYSXbVfHKuUSlyrGb/18FWcu5xnZ8QU4CcTNN5P4Hh9PlZUXd3ZKw6N6gUjMtTP4liAixSY4s0VXSqVChWVxhNM5qg/bkrLq3DqUg7e/no3fvz3tGZ/YUn1dNC9JzPw/T+nrDrmzaIKo9u3Hb4GADiTpvs59s1fJzB0yipcyWQ/QiIi8l5yUzsmT55sdHuDBg1w/vx53HvvvejcuTOSk5MRGBiI0tJSpKamYu/evaioqECfPn2wbt06JCcnOyx4AMjIyMCcOXOwatUqBAQEIDo6GtnZxnuw/PTTT6ioqMAzzzyDFi1aaLa3b98e48aNw7x587B8+XJMmjTJoTETiY3XAdUF6imMk2ZvwRe/H8UbY7pZrFpJz65u4tywnvGpi9p315/mM+XTbVg9e5h9QZMg9tYgWTO90N9XjgWv34YTF7Ix7cuddp6R6ipz/fo+/ukgjl8Q3s9PAgnOpOZi6mfbMaR7MwDVVadq6r5fpvqfGf24s3DRnEnNxcAuTTS3V269AAA4fyUPTWJCBERPRERUd5j8jXHt2rVG/zt//jwAQKlUYv/+/fjxxx+xcOFC/PDDD9i2bRvKy8uhUqmwbds2fPXVVw5/APPmzcOqVavQtm1bLF++HAkJCSbHqvsPDRo0yGCfusH+tm3bHBMokQPxOqC6onH9EDx2RzL2nszQVCyYcz27GBIJ0CDKeP9ISz2d8gqFN78nbc6d7ufrY30huvVT+zyzpMtbmu47yrerT5rcZ0uSCwDKKqo0FVbr9qYZ7FdXkRUZJLqqd0jsvJ42HbgCqbT6GDGRxqtciYiIvIHJiq4JEyY4Mw6bJSQkYNasWbj33ns1q9YYo1KpkJKSAqlUajQJEBcXB6lUipSUFKhUKof3viASE68DqkuG9UvCrmPpWPjnMbRvHo2IEH+TY6/fKEa98AD4yI1PidN+D3/w3K3431e6FT5P/N9afPpyfyQ0ChMneC8j9CPC3s+UuvKZ5OcrQ3mF8Klx2uxJioQH+yG/qNyu83u69knROHRW3GbuJy7mmN1vqi9YbY8uw30WF2DQ2j3350PmxxIREXkJj090jR8/3qpxBQUFqKioQGRkJHx9fQ32y+VyREREICcnB8XFxQgONj4Nhsgd8TqgukQ9hXHynC346o9jmPZkV5MJjvScIpMrLgKAVOtu4SG1PZvee6YXPll6EPlF5Zg8Z4tDpzBm55c67NiuJjTVEhcb6tTzWcNje3TZ8WS8Mqoz3ly4S7xYPJBUKv67SQLzyd8CE/22NPevufN/u8wv+gQAESF+yCssR/ukaBPHsngIIiKiOsuz1tK2Q2lp9ReNgADTK0T5+1dXDRQXFzslJiJn43VAnqJJTAgevT0Zu4+nY8eR6ybHXb9RjFgTKy4CuhVAgf61f9sJCvTBJ5P7am7vPZFuZ8TGKRRKjHl3HQCgU3J9k+MWTrvNIed3N45ILthLu7+Rs0SH6X4G14sQtnolYGciw/1eBqerUihFP+bSNWfM7n/9ix1Gt6dczde5/eUfxzQ/m3qd1Yl7Px/j1awWK8GIiIjqMJOJrsceewzHjx8X9WQHDhzAyJEjRT2mtcxN51Izt9Q0UV3A64A8yf39EtG8STi+WnEM+YWG06xuFlegqLQSDaPNJbpqfw7wq010hQT6IiYyELe2bwgAeG/JPvEC15KhtXLdkG7NTI4zV5VGWhzw3d1URYwjvf9cLyQ3i9DcvpHn3Ko/d0w4OptSKf6/dflF5TatdqjuR7j9yDWTjeoBQKEVs/qfalOPYupn2zUJtHcW78HQKav47zsREXkNk996S0tL8fDDD2PSpEk4edJ0w05r7Nq1C+PHj8fjjz8OpVL8v6BZIzCwulFxebnpnhTqfeaqXYg8Ga8D8iQymRSTH+mI0vIqLFhxzGB/enYRAPNJIu2KLn/f6kTX4G5NERNZfS0M65uodTzDKsasvBKDbUIcO39D83OTGPPJLO3Eh6eoKz2znC0qLAA92zW06xj2PPMxEcYXb/AmjqjoAuyfCvvIm//q3L5ZVIGhU1bhxIVslJTVJsHUSat3v9mL9UYa3wPAS3O3AgAOnM4EAGw9dNW+4IiIiDyEyUTXr7/+ikmTJmHbtm148MEHMXz4cHz77bc4e/asxYOWl5fjwIEDmDdvHgYOHIixY8di3759eOWVV/Dzzz+L+gCsFRwcjMDAQOTl5aGqqspgf1VVFfLy8uDn54fQUPt6iBC5K14H5GmaNQjFo7e3xM5j17HjqO4qjNdrElOxVlZ0SaUSrJ49DJNGdNRsa6GVXBo/c4POfdfuScPY99bjTGquzfHvPl49JfLn9+5CPQvJBSaNLHPIc+Si5/2X9eanuVlkR9xBAT72nbsOUCgcU90kdtXU2cvVqziu3HoBVVW1yTnts1izQi0AZBeU4WpWoZFVH4mIiOoWk83oZTIZnnvuOdx3332YP38+Vq9ejY8//hgff/wxAgICkJiYiCZNmiA4OBgBAQEoLCxEfn4+MjMzcfbsWSgUCqhUKvj5+WHkyJF4+umnERsb68zHpkMikSApKQnHjh1DamoqkpKSdPZfunQJSqUSLVq0cFGERI7H64A80fD+Sdh17Dq++uMY2iVGIyy4ujfN9RvFkEqABlGmE0iW+tTI9KZwnU3LRUSoP+pHBGL19gsAgLzCMptjP3yuuqIrOMAHZeW6yWWpVOKQ6VMkjPod4OxZXaXl9q66SPZQJ5DcnVwmQZVCBaWq+j817USdtZ8lcpkEz83ahMb1g/HVa97RF5CIiLyTyUSXWmxsLGbOnIlJkyZh+fLlWL9+PS5cuIDjx49renhJJBKDv2DFxcXhnnvuwciRIxEVFeWY6AXq06cPjh07hg0bNhh8wd+wofov+f369XNqTHl5eVCU5aMkbaNTz+tJFGX5yMszXCGQbOOO1wGROTKZFC8+0gkvzt2CBSuO4bUnugKonmoYHREIH7nxZsyA8AqgV+ZvBwC8MaabZmpTeYXwhERmbgn+2Wl55TRPVxeK0Dy1abc9YbNHl+MoRc6YVtUktPQPe7O4tgVBVl4JnnhnjdH7V1TWfn6p3+tXs4pEjZGIiMjdWEx0qcXGxuLFF1/Eiy++iOzsbOzbtw/Xrl1Dbm4uCgsL4efnh8jISMTHx6NDhw5o1KiRI+O2yfDhw7F48WIsWrQIvXv3Rtu2bQEAx48fx+LFi+Hv749HH33UxVESORavA/JEzWJD8ciQlvjpvzPoffQ6bu3QENezi8w2ogcAW7/Pv6/VnH72skPo31nYynxvLdiF9Jy6v3KpRGBdkb3pFSH3T2wcZufZ3Jul535wt6ZYv++ywfbp43roLMxA4tq4/4pDjnvs/A1ot7ktLKmdfmgucfXA639rfub0aCIi8hY2/aYTHR2Nu+66S+xYHK5x48Z47bXXMGPGDDzyyCPo0aMHVCoV9u7di6qqKsyaNcvp1WcRERHIyKtAYDOWkJtSkrYRERGe16TZXbnjdUBkjQcGNMfu4+n4asVRtE2MwvXsYvTraP6PKmJ9sUu5mo+kxuFWj7cqycUV0BxKvfiAJS1tXASgTUIUTl7Msem+zjDx4VuMJrq6tIpxQTRkr4oqJVQm11i0jr33JyIi8hQmm9HXVaNGjcKCBQvQoUMHHDx4ECdOnECnTp2wZMkSDBs2zNXhETkFrwPyRHKZFJNHdERxaSXmLDuE4tJKxJpZcREQb2rdS3O3IuVqPgBg36kMpKXfBADkFJRi2pc7kF9oeiVTEpEDClJkstqDfvhCb6vv5yNz8a9QFp4LVu/UPTeLK+y6v6/WNO+L1wrsDYeIiMht1bna9R9//NHimAEDBmDAgAFOiIbINXgdUF0V3zAMIwa3xNI11SvWNaxnfuqimF/2X5q7FatnD8O73+wFAKyePQwrNqfgxIUcTPl0K9olReORwS3RICoIjeoF4doNC1VdEonnV3U5KJeS5KJph20SPKea9WyaZzRTJ/G8NHerXfcvLKlNlE2eswVTH+uMAD85urZuoOm1q/2ZWVmlxPDXVuPZ4e1x963xdp2biIjImbyuoouIiDzbgwObI6FhdSLEUo8uodomVic6fOSW/3k8ev4Gdhy9BgDIyivFxv1X8PQHG3Als5AVXnYa0r2Z0e1Ce4IRUa0f/j2tc/vjnw5ixjd7UVGpwL2v/IVla8/q7P95XfUfFBasOOa0GImIiMRQ5yq6iIiobpPLpHj1iS7YdOAKGlqYuijUI4NaImlMOKRSCYpLKzHm3XU6+/edzND8/OaCXUaP8fxHmwAAvdrHYtexdKvP7YkzzWyJuVVcJE6n5podI7T5v0t44OtFZExJWRUA4N9dlzDqjmTNdu3POyIiIk/Cii4iIvI4jeoF4/E7W0Fq67KKRnw0oQ86tKiHoAAfBPjJER0eYDDm3W/3Wn28Xu0aCjq/I2Yx9uvYWPyDarHl2W8WG2pxjKlVAd0qGejhs06J1NTTFvU/T9MyCl0RDhERkd2Y6CIiIgLQLDbE5L4mMab3mWIqWWOKI5I4XVo7doU95npsZ+vr3aieuFWMABAR4odJD98i+nHJMyjViS6992RUmL8LoiEiIrIfE11EREQApGYyDw/d1lzw8fz9ZJYHOZg7FUABcLOSLDvZ+VBsvfvwAUn2ndiIpCbhGGyiLxrVfQqlOtGl+64Us2KWiIjImZjoIiIigvkvdRWVCsHH8/fVq+jid0YAwOBuTV0dgkfz8xE/gWouyUt139o9aQAMPwMVCtZsEhGRZxLcjF6pVGL9+vU4cuQIioqKoFAoNHP79UkkEnzwwQd2B0lERGSP7m0aWBwjMfNlv1+nxli29ixyb5bpbB8xqAWWbzhn9D5hwX6CYjR3fndlS8R+vq6vdHMLEolNjdkiQoW9r7Q9ptVoXJvSEQ3iyGP8WvMZpp/oUipr3xc3iysQGuRr8VhKpQrbj1xD71saQcaKMCIichFBia6ioiKMHj0aJ0+eBACTCS41JrqIiMjVfpt5N3xklguYzVV0+fvK8f302/HlH0fx365UzfaHahJdCQ3DcPF6gc59YiIDzZ5P/2yW/k2tK+ypSHJEMtBVCUbtJIIQEjtKA0cMbml0u5e89cgCdWXfuct5+OqPoygpr9Ls++C7ffjwhd4Wj7Fx/2XM//UICorKcW/fRIfFSkREZI6gRNeCBQtw4sQJSCQS9OjRA/Hx8fDzs/0vi0RERI5mMIXQBGN5ro8m9EF6TrHm9vD+STh/OQ8pV6uTWn4+Mnz75hBEhPphyrxtBskuc7w1t9AgKsjVIXi0+EZhoh+TlTcEAAXFFSgqqcDiVSc0n3Fq6dlFVh0ju6C66vVmcYXo8REREVlLUKJr7dq1kEgk+OyzzzBo0CBHxUREROR0xip7WsVHolV8pOZ2g6ggzH2pP4ZOWaXZVi8iAAAQGmx5Wg+RPd55uieCA3xEP64HzpolBygurcTIt/5DoL/h1wN1AWJpeRVKyioRFRZg9BhVCiWA6gb3L83bihce6ICkJuGOCpmIiMgoQc3oMzIy0KxZMya5iIiI9JRqTfMZ1JUN1x3BEY3YPUmn5PqCxkeG+ls1zhP7w5HjlJRVGW5UAUfP3cDD//sHo2esM3nfqqrqRNfF6wVIuZKPb1afcFSYREREJglKdIWFhUEm8+5fMomIiIxRJ7o+fKE3Jjx8i2uDqeFu+Qt7w7mtaxNR4hCDmz21Rs2e3NfVIVAdoVSp8ObCXZrbCoUSBUXlBuOqlNWJLnVfRPZ/IyIiVxCU6OrVqxfS0tJw9epVR8VDRETk9uIbhhpsUye6osL8rep55AmJEndjbsEAInIc/cUyvlpxDI9NX4Oyitrqr/TsYqzZnQYAkMurv2JUKZR4/YsdeOHjTfjgu33OC5iIiLyaoETX5MmTERAQgKlTp+LGjRuOiomIiMitzX2xH1bMukdn2/MPdECzBiGIDjfeu8YSVj5YZs+Kg97I2vcUE4hkSWFJpc7tXcfSAQDlFQrNtlc/246Kyurbpy/lAgByCspw8mIOLmcUYvfxdCdFS0RE3k5QM/p169Zh0KBB+PPPPzFgwAC0bNkSMTEx8PEx3hhVIpFg3rx5YsRJRETkNmQyKfQn8ndpFYMurWKsPkadyGu529xI0qGy8l1WPyLQwZFQXVNYUr2qokoFHDmXBQAoKK6dyph7s3r1xez8UucHR0REXk9QomvWrFmahqVVVVU4efIkTp48aXI8m5sSERG5jsMroLy4DO2uW+Nx+JybV7db+fKMuiPZsXFQnaWCCm8t3O3qMIiIiHQISnS98MILTF45gKIsHyVpG10dBgBAWVX9Fzip3LqVmpxBUZYPwPoqCSIiT8B/TT1b+6RoV4dgkbVpSG9fzbIuCg3yxc3iCoefZ97Phx1+DiIiIqEEJbomTpzoqDi8VkJCgqtD0HHx4kUAQEKCOyWWYtzueSKiuuPp+9pi74kMh5/HFX8oaucByZi6KDY6COnZxa4OgwR46Lbm+G3jeVeHIZofpt+O+15d7fDzHDqb5fBzEBERCSUo0WVKRUUFfH19xTiU13n66addHYKOadOmAQBmzpzp4kiIiJzj3j6JuLdPoqvD0EhqHIaUqwWiHCs8xE+U45jjI5eiskpp1VhvKQqf/3J/lFcq8Nj0NS6NQ3+lPGerFxGAG3nu06Op7y2NcCn9Jq5kFhrs69a6QZ1KdMlkgtabcpm5Px/CtawifDK5r6tDISKiOsSmfwVzcnIwe/ZsDB06FG3btkWHDh3Qtm1b3HXXXfjggw+QmZkpdpxERER1SlzDUKPbxw1r5+RI7LPw9UGuDsEujsi9+fvJERZsPsk4pHszB5yZzEmOi8Sjt7c0uo8rTzpHTkF14vNKZiFyb5Zh04ErOHs5z8VRERFRXSO4ouvgwYOYOHEi8vLydP5SWFVVhYsXL+LSpUv466+/MH/+fHTr1k3UYImIiDzJ08PaIiLEsOfhB8/fimYNQjHq7f8cdu56EQEOO7Y2P9+60d/J2bVP/n7CnjdfufC/Tbp6rQB3SB0N7NIEmw5c0dw29Zw0rBfspIi82/f/nMLLj3bG8x9tcnUoRERUhwlKdGVlZeH5559HQUEB2rRpg0cffRRt2rRBYGAgCgsLcfLkSfzyyy84deoUXnzxRaxcuRL169d3VOxERERu7d6+xqdEtkt0fO+sB/onOfwcdWLNRVdlYwQ+eT4CGsb3uaVRzSnqxCtkl2fub6dJdEkkMPm8B/nLMfru1vjun1POC84L5d0sx0PT/nZ1GEREVMcJ+vPg4sWLUVBQgLvvvhu//fYbHnjgASQnJ6Np06Zo06YNHn74Yfz++++46667kJeXh6VLlzoqbiIiojrJW/pYkTBC3haaFSFdnedygzez/iIQppJ/EokEPdrFOiMkp2ubGOXqEDSOnL+BsgqFq8MgIqI6TlCia+vWrfD398c777wDqdT4XaVSKd555x34+vpiw4YNogRJREREAjkhyXBfvyR3yGW4hL2raArNQQkZb2ysXOb8Fyort8Tp57RHXX0v/9/TPV0dgkWe9l4hIiL3JijRlZ6ejqSkJAQHm+9jEBISgqSkJFy/ft2u4IiIiOqy6eN6YP6U/gAcsEKeExo09e/U2OHncLbG9Z3Tq8nalSrVuiTHWBzTslkEACC8phG+7jvAeBZn2pNdBcVhrdWzhznkuEJpP2qJRGL2spC4RVcx8fkJmPbqKsVllfh57RnsPs7vDkREZD9BPbp8fX1RWGi4JLMxRUVFkMsF97onIiLyGl1aGSYv6uqXbXvJpBKnVNyEh/jhalaRw89TXlFl9dhv3hiMiFDzqzgCwP39kuDnK0Pn5Or+qNrJU1OLCvZq39DqODyS1uO2tLKiuffXw4Na4NcN50QKivRJJBIsW3cWgPskSYmIyHMJquhq2bIlLl++jGPHjpkdd/ToUaSlpaFFixZ2BUdERORtRGsg7qR5WELOYs10v2YNQoxud3W7KbEJeTz1IwPhI7dclSOVVidP1c+zdvWSxEKSxxvILCa6TO8XveKSdPDtSUREYhKU6Lr//vuhUqkwefJkHD9+3OiYY8eOYfLkyZBIJLjvvvvEiJGIiIiEctIXc5lM0K8SFs15sZ+oxxPK1qftf6MFTgF0ct7EW/MI2skrqURi9mk39xz17ej+03TjYkNN7uvepoETIxHO3p53RERE2gTNLXzggQewevVq7N27Fw8//DBat26N1q1bIygoCEVFRTh16hROnz4NlUqFHj164IEHHnBU3ERERB7F2q9xnjJ1MTYqCAAQ4CdumwJfD+gnZEy7pHqCxjsiD9mg5jWpPUftSdwljxAU4IPi0kqnnU/7YVueumh6f1xsKOJiQ5GaflOkyGxzf/8k/Lklxei+oAAfg22x0dXviVdGdUZGbgkmfrLZofHZythrc/BMJlrHR4n+GUNERHWfoD/DSiQSfP3117j//vshkUhw8uRJ/Pbbb/j+++/x+++/49SpU5BIJBg+fDi++uorkyszEhERkS5PmxjVqaYPVF1jbULI3ryRaFNUtcQ3DNM7hzY3yXS5kFQqMZphfO6B9gCcnwwUXAUIYFjfBJP7Xn28i87t+VP645NJfQEA/n5yxMWGokPzaMHndAb9pz4jpxj/t2gPPv3lsEviISIizyb4TyR+fn6YOXMmJkyYgO3btyM1NRXFxcUIDAxEfHw8+vTpg0aNGjkiViIiojrPXSpv3I6DpmK6rILOCZlN7Ufm6+Mef3x09rOtfT3JJBIojLyPfGqm3zr72gsNsrzAgBCRof46t/UTn4D4FZhi2X7kms7t0vLqxRqu3RC2MMSVzEJczizErXV9kQUiIjLL5n/tGjVqhEceeUTMWIiIiIi8grV5rk8m9bH5HNpT2WY+39vm41jSNjEKJy7kWDXW+YlcrR5dUgkUSsMR6tfC2X2ibD3dlFGdMXvpQXGDcbGcm2V2H0OlUuH5jzYBAH794G6HJPWWrjmDX9afxcqPhoren5CIiMRj8hO6tLQUpaWlRrcJ+Y+IiIiorhOas7B2Fb+WzSKFB1MjKixA83OTGOOrWQrxx4f3GN0uLIlm+ZlqamLlTXtJpeYTjKYiG9iliSPCsamaUC6Ton8n2xvjhwXrVpE5ovKpnw2N+4UUbE6avRkffLfPYLu6CgwAyiqqDPaL4Y/N5wEAlcYypkRE5DZM/qmjY8eOkEql+OeffxAfHw8A6NSpk6CDSyQSnDp1yr4IiYiIiJzEUxYDcAVrFwoIC/a16zx39YrHghXH7DqGmnbVlKmKLU3S0cRL7yN3ztTGTyb1wSvzt5sdo5+oEmrcvW3RvEkEPv/tCABg6uNdsHPqX3YdUwzaid/i0kqs25Nmcuyl6zdx6brhogC5WlVh5RUKzXH1X/f07GKcTs21K4HppEVtiYjIRmZrbpVK3b9WqFQqQf/p35+IiIicQ2JhhTlP4y7fKy2t3Gctd3k8zta8abjFMaYSSo/dkSz4fNasuqiseTGkJk6sTpS8/mRX3HNrvOAYTElorNtDS8jUydAgX4TbkPTy95Pj9h7NNLdlDvickEhqk4PWOngmS/Pzo2/9i793XtLcVipVWL83DZVV5r9X5BWWa34ur1Rgx9FruPeVv3A9W7fP18vztmLuz4cExadPqay9gj//7Qi++P2oXccjIiJxmazo2rhxIwAgJibGYBsRERGJTOTMx6CuTcU9oIu5TQWFieofwdU+7vJ4nOiTSX3QJCYEI9741+w4U0/l7T3i8NOaMzafXyqRGH0fWZpGqo6nYXQwnhneXicJYw9fgckgbT/+3x1QAbjPjmqspMaGzerFsviNwXjynbVWj8/Or213otR7OXYdv475vx7B/F+PmD3GRz8e0PxcXqHAzqPXAQDPzNyI1bOHafYVlVYCABRKlcVE37UbRcjMLUGnlrqrzCq0glxbU332woMdzB6LiIicx2Siy9jKiVxNkYiIyMFEKrCwdpqZJ3FGr/Bn7m+Hr1cex7GUbKP7xcpPqbww02V1vzGTlVU2nFTrTlKpBI3qBRkM6dE2tmaoiRM46H1nT/N7eysLf3nvLsFVV0LorwBpq8KSCrOVXBWVCkgkEly4lo98rYquikoFZFLzj69KoYRKJUFmbgka1QvW2adUqjDhk824klkIAFg9exgUCqUmFkXNrJWcAvYjJiJyR4L+hXviiSfw/vvvWzV20qRJGDJkiE1BEREReS0X5T96tY8VNN7aZurWalw/2PIgJ2gWG4r3n7vV4edxmwo1B4iLDXV1CBra6SB/XxlaNI0wGKNOCpvKO5ma0miLTsn1LQ9ygqAAH49IhucUlJlNyI144x+MevtfTNXrbVZeqYBMVvu6Gfu8UiiU+P6fU3j2w424kaebsFIoVZokl1p2QW0PMPXUxazc2vtl5ZVY8YiIiMgZBCW69u3bZ3Vz+bNnzyIjI8OmoIiIiMi54mIdN43JGh++0BsfvmB+9T4/N/hirp3ycEaFmSea9mQ3u+4vQXUPKrG1ios0W0Vlao9YL/PzD3bAO0/3NLpPe2qdLUYMbmHX/cVgS88wa5SVm15BsUqhQmm5wmB7eYVCZ1pieaXhmMoqJVZuvQDAMEml/zYpq6jSWdVRPXVRodWPeOx76808CiIiciaTUxcvXryITz/91Oj2yZMnmzygSqVCeno60tLSEBsr7K/DREREXs9FyRNXJ23Cgv0srigXHOiLeS/1w4tztzopKkNSqRRKRfWXWwnqVqutSQ/fYrEPkjWCAnwMtr37jPEEjzGdkutj04EruFmca3cs1qy6aHSwGW+M6Yb3l+yzIyrxPXZHK1eH4LDpuEdNTCM+cDrT5H2qK7pq/55fXFoJf1/drz3afbaKyyrNxvDBkn0YMbil5vb2w9dQUl6F9onRZu9HRESuYTLRlZCQgIKCAuzZs0ezTSKRIC8vD2vXWtdccuTIkfZHSEREVAdY+g7t6p5NnlKclNg43MURqIz8ZMNR3HDu4uDuzVBaXoVFq06IfuzwEOt7NtWPCDS63ZaeVkLuY3Kk3g51Ty9t9/VLRH5RObYcvGp9cPqn0TvPwC5NkBwXiS8FrugX4Gfy13uHctRi66ae03cW7zHYNrhbU6zfd9mgoquopBJRYQE6Y6u0en8Vl5pPdB0+dwN39qpdcfO7f6pnuLSJj9IZl3uzDOHBfiirqEKgv2HCl4iInMPsv4TvvPMOVq9erbn9+eefo2HDhhg+fLjJ+0gkEgQFBaFly5bo2dP6v94RERGR6xJO9jTG9kb2Pl9i57kev1NYRc+grk2xYf9lcYMwQ/vpmvZkV8z8fr/Tzm0te17Ssfe2BVCblBl9d2tNMsScR4e0ROuaZElio3CdfS+N7AQAZhNd08f10JmWN3tyX0SHB5gc71jGVyR1JnWvv+pm9LWBTPhkM8KCffH927drtlVU1T5vhSUVFo99NavQYJv+lMgn31mLh25rjt82nscv791ltLqRiIgcz2yiq1mzZpgwYYLm9ueff47Y2FidbUREROT5vDXPVVced4Mo41VQpkx+pCMmP9LRcIeDng/thu692je06Rgue61sSEo+MLC5VYmukbcna362ZSXFLq1idG4ba7YvRLvEaLz3bC/sOHoNH/90UNB99ZO3DwxIwsmLOTiTlmdXTEKoE0vllQqD57OgqAI5Wg3ltVdzvFlUgbV70rBmTyr63tIIfTsarjT/w7+nDbZ98J3hFNbfNp4HABSVVjLRRUTkIoKa0Z85cwZLly4FAFRWGpb4XrhwAXl5zvvHjIiIqK5oEBkEAPC3MO3ojp5xOreFrpZIwrz+ZFdXh2AViUgZKrGOY3BcgYd1RVJLv0pPvXqk3Myqf3XNnT3jIJVK0Dk5xvJgPfr5wNH3tMHHk/qKE5iV1H24fvj3tPHVMiW17y3taqz8onL8u/MSLqffxLerT2L0jHV2xzLu/fU4ccF4fzEiInIswf9yFxcX46233sKtt96KkhLdFUrmzJmDPn364M0330RRUZFoQTqbUqnE/Pnz0adPH3To0AFPPfUU0tLSXB0WkVPxOiByrgkP34I3xnRDswahgu4XHCDO6nScumhcPQdNA7N36uKdeglPsdj6Npg84haz+4W+T431N3L0O1T/+P07Na7ebuZJ+XhiH8ye7NxkjqN0bR2Drq2rE1w2vQ/coO+cj1ZSsrTCcLXG0vIqTZiVlbUVXanpN3HxegEeGdISX0wdIFqidf0+500PJiKiWoISXUVFRRg5ciR+++033Lx5E5cv6354K5VKVFVV4Y8//sDo0aNRUWF5vrs7+uKLL/Dzzz/jvffew/LlyyGTyTB27FiUl5e7OjQip+F1QORcAX5yo02u9VnTxFzICndqQmdNuf4rre0iQsyv7mgLoYlCpZ1JAf0pa2JlgZRK2+KyNEUrXOBz/qKRaZWOqqzSvPe1nkN/X5nmZ3NPbXJcpNXTBeMbWk5i//HhPVYdS0zJzSLw4MDmeHtsD01FaaC/D2Y+f6vOuFkTeuPXD+42OsUyMtQfd/dOcEq85shlUs17p7TMMNH1jdZCC9oVXWdrpld2To5B0wahouXsCor4OxMRkSsI+o1hwYIFOHfuHJo3b47ff/8dycnJOvu/+uor/Pvvv0hOTsbJkyexZMkSUYN1hoqKCnz77beYMGEC+vXrh+TkZMydOxfZ2dn477//XB0ekVPwOiDyHMYSX7e0qG/Dkbynokus1dBcWsCi93KJVYFSbCQ5YA2xn4uwYN3E2DdvDtZMSxObsSRlh+b1RD9PcrNIi2N8fWQWx4jt40l98eTdrQ22t02MRpB/7XMulUgQ4CeHn5EYv3t7CBrVC3ZonNaQy6SapOuN/FKD/adTczU/V1bpNpKPDPWzKhkpRD4TXURELiEo0bV+/Xr4+vri66+/Rtu2bY2OSUhIwGeffQaZTIa///5blCCd6fTp0ygpKUGPHj0024KDg9G6dWscOHDAhZEROQ+vAyL3Feyg5sYdmkc75LiewtpEjZCETv3IQM1qfEIM6Fw9Ze7RIS2tvo+53lpCvrwLrbzSnN/BedL6EcKa7QuhrlDSTni9NLKTR1ctiqW5VrWa+un5ZFIfg8UPzFU0hgWLM73aGnK5BEE1ieysvBKD/WUVtcmtcq2pi0B1NZfYU7jzC61LdF28VoArmYarOhIRkW0EJbquX7+OxMRExMaan1rRuHFjxMfHe2Q/n8zMTABATIzulID69esjPT3dFSEROR2vAyL3pb1Km5gSG4c75LieztRUUf2vw8a+Hn/zxmDc1y9R0HEBICSoOjEQIELl2Q//dzs+mtDH6vHNveh9IKtJcBmbtqs9FdNY7uPLVwdi4bTbHBWaUT9Mv92p5wOAaVqLMaiTQE0bhOK+vsbe18bf0wteH2RXDMEBPmjaIMRge/9OjfHs/e10tmlXdBWXGi6cpa2yUreiy5YG/JZor+xozuQ5W/D8R5tEPz8RkbcSlOgKCQlBcXGxVWMVCgV8fZ33FxyxlJZWlznrx+7r6+uxPceIhOJ1QOQ49hQMNIwOMjptyFOFB4vfK8s6rq/VMRuBDeE1qm982lhEiL/FlTx1T23+5G+N7Y76EYYN+t1h2ppQ6mSjenU+IZdmk5gQNIx27mOOCPV36vkA3Wm+2p9d5lq56T+P9lShtoqLxM/v3YW3nupusO/evgm4u3cCVn40VLNNLpMisGa6paWprhVaSaiG0UG4pYX401UVCusSXUREJC5Bia6kpCRcuXIFhw4dMjvu5MmTuHjxIlq0aGFXcK7g71/9S4T+l/mKigoEBjqubJ7InfA6IHIcsXsZucFCZ4Ld3qMZACCpSbjV97nn1ngHReMiVrxuQpKiUWHiJEEsvZ+6tW6Arq0bGGyPrlmdMkBAUs3VGsdUVwmpK5XkMt1fi319pDX/rzvJZXvIpLXPj3ZF4levDXTYORvXJHCNva/USX+Z1uvmI5dqEmu5N8t0eozpu36jdoX4hdMGWVxQQd89vS1/JhWXVUEhYIEHS1VoRERkHUGJrgcffBAqlQqTJk3Cjh07jI7Zu3cvJkyYAIlEggceeECUIJ1JPS0zKytLZ3tWVpbBNC6iuorXAZEj2N/7xVjiQ78CZ+5L/ew+j6N1alndLN9HLsXrT3TFs8PbGx035dFOmp/H601Rcjd+vsKSIeamLlrztdh9lw7wnMzr+8/einfG99T06NJfTfDOnvF49PZkPDCwuSvCczsyWe3zY+PinIKpk5CBRhJWfkYqtuQyKQL8fTSflfGNwkwe+6/tF+2K7Zn7az+3XniwA27t0NDouFFv/WvQ+N6Ua1rJNyIisp2gRNe9996LgQMHIjs7G08//TT69u2LsWPHYuLEiRg7diz69++P0aNHIz09Hf369cPw4cMdFbfDJCcnIzg4GPv27dNsKyoqwqlTp9CtWzcXRkbkPLwOiDyHOl/SsmkEVswaiiQP67F0a4eGuNtEtVb/zk00P9vbJDrATzcR5SMX9CuQRdbG98RdrQDYn8zST8qIxVwCTs3cmT2pwjA8xE+TdFVTLwQAVL9HRg5pWaemC9tDu+JN+31izWv+6uNdEBsVJPic6svKR274Ghh7XeQyKWRSiaaqyxGrZwJAz3bVfxBUX4e3dW2CwJqqs0b1dB9ncVkV3v56t862rLwSlJUbrnB6NUtYQ/qs3BJkG1ldkojI2wmuL//000+xYMECfPfdd8jKyjKo+AgICMCoUaMwefJk0VcucQZfX1889thjmDt3LqKjo9G4cWPMnj0bMTExGDJkiKvDI3IKXgdEnkcmk4ievKnLbE3I2JvH0bxGdh5I/3cssX7j0g5raJ8EZOWWYO/JDL2TW47HErlMgiqFa7Ji86f0R3mF8QqbFx/phAkP3eLcgDxEw+jaBI7Q66fPLY3Q55ZGGDpllaD7ab+vHh7UAr9uOKe5bayKUl11Fhrki8KSSvRqF4v6EYG4WVyOb/46KSxoE37/8B741CT9Fr5+G86m5cFHLtMkvcKC/XDthm5P4xMXcrBubxqGdG+G4tJKPP/RJgT6yTHy9mQM6dYUwQE+KCqtxNUsYRVdH/14AIH+csx4ppcoj42IqK4QnOjy8fHBxIkT8cwzz+DAgQO4fPky8vPz4e/vj/j4eHTu3BnBwc5vSLpixQpMmzYNS5cuRZcuXYyO2bVrFxYsWICzZ8+isrISbdq0wfjx49Gnj+5qRJMmTYJCocDbb7+N0tJSdO7cGYsXL/bI5vrkXXgdENV1hskER/5Naf6U/pg0e4vxnR5UuQOo+wsZJjcsJWgammiybuvzrk4QmGr6/sKDHZCWcdPicRxU0KXzukaG+msatdtwd7OaN4nA6dRcQccWS3xD09PZpFIJfKWureCaP6W/W/6x2NUxPX5nK51El7HeaeoE1OtPdsORc1lo2iAUTRuEorS8ymSiS+jD0q4kaxAVhAY1lWrqRJefjwxxsaFITa+9juNiQ7FgxTEkNgpDdn4pyisUiA4LwJe/H8Vf2y6gvGYFSO2pi3mFZTiXlocurWKwescl9O/UGOEhtQt4KJQqXLpegLAQVy3qQUTkvmzuGOrr64tevXqhVy/X/wXh8OHDePfdd82OUScAfH190aNHDyiVSuzduxfjxo3DjBkzMGLECM1YmUyGV155Ba+88oqjQycSDa8DIu/kSVPFHCkk0BeFJaZXhf1wQm8sX38O249cE3xcZ7qjZxwW/nms+oaZL+COSjpov5+EnMH90jLA/f2TND+HBrnujzQjh7REmIDzm0vEucLnrwzQ6c9liiM+i0yd9dn720FmJNsrr6mYjIsNRVxsqGa7r5lq19ce72pXjGrqeHx9ZPjf6G4YP3ODZt+0J7vija924sMf9qN1fBR8fWT47JX+OHgmC9/9fQqVNStAXqup6MopKMX/vtyJ69nFmPjwLfjmrxNYvy8NHzx3K8JqVqvNzClGRZUSOfmlqKxSCq7oPZOWi3rhAYgKM1xF9fDZLLz99W58+epANKlZtIGIyJPYnOjKzc3Fnj17cOnSJRQVFeG1115DeXk5Dh8+jB49eogZo1nr1q3D66+/jpKSEpNjsrKyMH36dISEhGDZsmWa1SCPHTuGMWPG4P3330f//v3ZZJs8Fq8DIu+l7pXj6moLIRyRm/vslf64nl1scn+zBqF49PaWghNdYtNUdJl7Eqx4goRWWllLu9LM1HvK3HvNnRKv6j5N7z7TE43ru+7L+qO3J7vs3GJoppUwqmX4Qve5pRGOX8jGk3e3Fu/kJt5qd/dOMLpdf+VMNZmR7U1iQnAlsxDJcRE2h6dNXdEll0kRGx2EAD85Smv6cEWG+eO1J7ri9S92YFPOFXRsUQ8+chl6tI1F11Yx2HcqAzuOXsfu4+nIyivBmwt2Ib+wHHKZBNsOXwUAXM4oxJsLduG9Z3shLNhPU/mpVAE38kvQMNr6GTUqlQpT529HZKg/vp9+u8H+w+duAAD2nEhnoouIPJLgZh6VlZWYOXMm+vfvjylTpuDzzz/Hd999BwC4fPkyxowZg+HDhyMzM1PsWHVkZGTg1VdfxcSJE6FUKhEdHW1y7E8//YSKigqMHj1a8+UeANq3b49x48ahvLwcy5cvd2i8RI7A64DIu3hQLsvposIC0C7R9Geg+7A+EyQxUyflqPeCTkWXiXMY3WwmnqQm4XZEJFyLprrnu6VFfUSHG1atkDjUvbt8fWR48ZFOiAjxF+3YQt/mphJdxkwf1wNvj+1utKJJ3339Ei2OqZ4eXVvZVaVQavb5yKRIjovEU/e2AVD9ntTcTyZFz3YN0T4pGpVVSrzy6TbkF5ZjxvieuKVFfRxPyQZQ3TPv+o0ivLlgFwqKypGWUdu4PjPH9B86jSkqrQQA5N4sM7q/QVQgACBD4HGJiNyFoESXUqnECy+8gB9++AFVVVVo2bIlwsJqy6uLi4shlUpx6tQpjBw5Enl5eaIHrDZv3jysWrUKbdu2xfLly5GQYPwvOwCwfft2AMCgQYMM9g0ePBgAsG3bNscESuRAvA6IiDyLqYqn+pGB6NKquqLWmlSYo1Zd1GYq0WU2PiMP8Lnh7Y0MM36U+IbGqoeEaZ/kmJX2yNB9/RKNVkuJRb96sGWzCJ0+VWoxkdWJGbkVUyxjIgPx2J3JiIkMRNfWDayKo0HN8c1RX5LSmhgUytr3uPo5Gto7AW+P7Y47e8UZ3F9ddVheqcCMZ3oiOS4SfTs2gvow7ZOi8dbY7rh+owhvLdyFkxdz4F/TkD8zV1hCKqtmfHiw8f5e6umRGTmmq2SJiNyZoKmLf/zxB7Zt24bExER8+umnSEpKwqOPPorDhw8DAG655RasWbMGzz//PFJSUvDNN984rL9PQkICZs2ahXvvvRdSqel/YFUqFVJSUiCVSo0mAeLi4iCVSpGSkgKVSuVRUz+IeB0QkSNninn6Z0G/jo2xtWbajza7pteJNDdP/zDfvDHYYIy5p99RUxcTG1nuD2XszOr3irFnx1gvJVNmTehjeZCVPPzt6xEc/Rmhf/RPJvU1Om7WhN5IuZJvVTxfTxskPFFsxXHVySz1+10ulaBCqXtFSCQSk8m1pCbhGNC5Me7pnYAWTaunU3Zv0wC+cikqanp43dKiPt54qjve+3YvLl2/iS6tYnDkXJbghFRWXikAoF6E8Wo29aNloouIPJWgP8H88ccfkEgkmD9/PpKSkoyOadKkCT777DNIpVJs2rRJlCCNGT9+PO677z6zX+4BoKCgABUVFQgPDze6WpxcLkdERARKS0tRXMwPc/IsvA6IvIvR71oqM/u83CuPdda5Le6XcvuOZWrVRWsZq2oRg25Da4nxOLUe+uevDNDZZCwPKOSRBvjV/g1Wfwqit4oO80eCFQlIbxYVFoDubWOtGuuoakh18ln9f6GVbn4+Mrz8aGdNkgsAAv190LmVbu/UTi3r480x3eEjl6JlswjERAYh5Wq+2WOXlFXii9+P4mZx9YIdN/KqK7rqW6hUUyfEiIg8jaBP4PPnzyMhIQGJiebnqcfFxSEuLg5Xrxr+FdXZSkurP6ADAkzPv/f3r+4lwC/4VFfxOiCqw2q+s8ktJLzJ9HQ5Z7qjZxwA84Vh1sTZICpId4NYSTyt41hzSHWjckckWt99xrqVvdskRIl/cjey5O3b8enL/V0dhmu4OIHfJKa6wbs172/1ypTqRFqISCt99u3YSOe4ANApuT6+eWMwHhjQHLd1bYKj57Nx8mKOyWMcOpuFNbtTsWBF9Yqu6gRWaKAv8gvL8fFPB0xOf3SHz00iIqEE/VasUCgsVo6o+fj4QCaT2RSUmKyJlx/gVNfxOiCqu1rHR+G+fol4cWRHUY8b5C/XNCQ2xhs/MX4wsjqZUEE1KwFaw9VFerad37p3hjWjAv2te66saRRO4nLWrwxiTtHt0Fz4YhXhwdV/BLTmvagf67vje+LW9g3x6uNdBJ9XW8+2sXj+wQ5on6Qbf0SoP3zkUgztk4CIED/8vO6MyWME1cR/6Ez1YmFZebVJrc9/O4Jth69hz4l0o/fNKyy3K34iIlcQ1KOrSZMmuHTpEnJzcxEZGWlyXHZ2NlJSUsw2xnaWwMDqX9LLy01/SKv3mat2IfJkvA6IXE+c72uGB5FKJBh7b1sxDq4hk0rwy/t3i3pMW/nIpaisUloeaAV7py5GhOquJte3YyNsO3zNpmOZ++OCK5OI+s+QsZUfja8GWdOjy8nB//LeXYKShyQuRydjxZxuPH1cT1RWKQTdZ8SgFujbsRH63tIIs5ceNDtWvxddw3rBeP3JroLjNDiuTIo7aypBjfH3leO+folY8vcpnL+Sh+ZNIgzGqBvjF5dVoaJSoUl07T2Zjtyb1b//XbxWYPT4GTnFiAwVbyVNIiJnEJTouv322/H555/j7bffxty5c+HjY/iLRUVFBd544w0oFAqjq7s5W3BwMAIDA5GXl4eqqirI5boPuaqqCnl5efDz80NoqP0r/RC5I14HRKTWKbk+Dp3Jcug5Oraoh8PnbohyrAWv3Yb0bPecUv3SyE52JLpqf37+wQ7GB7m68ZrEeC+xji3rYdW2C7pDXV1+RnWSmO8rH7lUrwedFffxkWqmGz//YAfEx5r+HckZK6GackfPOPy68TyWrz+HBwY0x/XsIlzPLsb1G9X/T88u0ow9cTEHWbnVUxdzb5ajfVI05HIpLl4rwPINZ3HwdJbOdOCMnGK0jq/b04OJqO4R9Gk/ZswYNG3aFBs3bsSwYcMwZ84c3LhR/Yvshg0bsGDBAgwdOhRbt25FgwYNMHr0aEfELIhEIkFSUhIUCgVSU1MN9l+6dAlKpRItWrRwfnBETsLrgIjU3nm6p8Ux9n65nGFlbyVr1I8MRIcW9UQ7Xi3bSo+07yW3stn0E3e1MrvfoFrDTeaFGq/cgqYxeniwYUN8dwjd3afifz51AN4Y083VYXgER60uai3ta+DOnnFIjjM9o8WVia5Afx/cfWs89p7MwKufb8e8Xw7j903nceFqAcJD/HBb16YYf187yGUS7Dp2HYUl1U3pg/zlmPxIRyQ1DsflzEKs3HIBp1Nz8fum85pjZ+TUTnNUKlVYtvYMjor0hwwiIkcRVNEVFBSEJUuWYMKECTh9+jQWLVqk2Tdx4kQA1b9cNGvWDF9++aXbVIb06dMHx44dw4YNGwxWi9ywYQMAoF+/fq4IjchpeB0QeabIUH/07dgIK7deYNWMnree6o53v91r1zFsfU6F3C/Qz/DXLaUVyRhBsYmU3NE+p6nzBwdUN9l+9I7k2rFCTyRSLsoTr4lmDULRrIF7/I5sK2elEl2ZPAKEvb/UUxfFXd3Veg8NbI76EQGICgtAbHQQYiIDDZLx+09lYOuh6sXCEhqG4cm7W6N+RCASGoVBqVShqLQSrz7eBacu5mDPiXTcLKlERk51Ra1KpcKiVcfx945L6Na6geh/gKisUuJGXgka1gsW9bhE5J0EL9HUqFEj/PHHH5g3bx6GDh2KVq1aoWnTpmjZsiWGDBmCmTNnYvXq1RZXZnSm4cOHw8/PD4sWLcKJEyc0248fP47FixfD398fjz76qAsjJHI8XgdEnunhQS0wqGtTMyPMf+X87JUBePcZy1VcnqhbmwauDsEr+cilWD17mPG+QW5eTUWexeWJTAHnd3VSzt9Pjtt7xKFLqxg0qhdstOK0c6sYlFVU9yl7dnh7dEquDwBIVFdphvihV7tYPDO8PZa8fTtaNA3XVHT9uuEc/t5xCUH+cqRczbMYz4Z9l/H2wl1QKq37TFi5NQUvfLwJ2fmlVo0nIjJHUEWXmlQqxR133IE77rhD7HgconHjxnjttdcwY8YMPPLII+jRowdUKhX27t2LqqoqzJo1C1FRnHtOdRuvAyLPZU/qIC42FDDTV4ZcxMyL6tJm9FqZBQmA+Ngwa+9oeh9zX2Qj109ddM59nKVzcn0sXlX9c/3I2sWHYiIDUT8yEAM6NYZMK0HWIDIIB89k4r/dqfhpzRkM6NwYiY3DsXjVCeTeLDPZpH738XR89uthKFVApUIJP6nMYmy7j6ejSqHClkNX8eDA5vY9UCLyeoIrujzVqFGjsGDBAnTo0AEHDx7EiRMn0KlTJyxZsgTDhg1zdXhETsHrgMgDaVXIuPMXKE/i7LzLgC5NbLqfy19viQQtm1Wv4Na4vnXTibSf28TGVibJyGM5Og/l6iopIdMQPaGYsVG94JopjRJEhNQmqSQSCRa8NhCP3p6sM75BVCDyCsvx1R9H0aVVDCaNqO7nBQApV/KNnuPkxRx8/NMBzZvDmp55eTfLcL7meJsOXHH7PntE5P6squi6cOECjh8/jrvuugu+vr46+37++Wf8+uuvSE1NRUREBHr37o2nn34aTZrY9kudrX788UeLYwYMGIABAwY4IRoi1+B1QERi0P6OERzgg6LSStcFIyJXfWUO9Ddcpfr2Hs1w9rLx6T82fclzUMbB2lgEn93lWTzHCfS3acKE12sdH4lTl3J1trmq31Xt+V16etFJJBLc1qUJTl3KNUgi+sgNq64aRAUBAJKbReK1J7pALpMisVEYgvzl+PG/02iTEIWggNrPt9T0m3j3272oHxGIHm0b4I/NKVYlAA+eyQQA3NkrDv/tSsWFqwVIahJu+wMlIq9ntqKrtLQUkyZNwj333INp06YhMzNTZ//rr7+OGTNm4MyZMygtLcX169fx66+/4sEHH8TBgwcdGjgREZG3EOOv2+OGtUV0eIDlgXoWvH4bvphamxx/YECS3TFFhVVXEsQ5eUqlGDUCYhUaqL9AmuVGX/IthSKRAEO6N8MHz91q3cHraMHGgtdvw9fTBrk6DI9yZ684AEDDaMOqQRcXdJlcedQYhUIJAJDL3XvCzMjbk/Hus9atjNu5VQxGDG6Bt8d2h79vdQLX30+O157oiiuZhfjgu32orKp+3Fm5JZj+9W74+cgwY3xPhNWsymrNvxX7TmUiOswfj9/ZCnKZFJsPXrHx0RERVTP7Sfzcc89h/fr1UKlUaNy4sc4H1b///ouVK1cCAOLj4/H555/jl19+wZNPPomCggK8/PLLKCoqcmjwRERE3sSe6oZhfROx5K0hgu8XFuyHplorxMVYk6CxILlZJD6Z1AcjBre0+1iu4sjv3+qEZGiQr4WRjiXkMUokEkx8+Ba0TYw22Keqq1ktIxrVC9Z8wa/LHDG1zNj7xNVTF4VcBBU1CR8fI03gPVVwgA8eu6MVggN1P4s6tqyPSSM64lhKNuYvP4yConK8/fVulFdU4Z3xPVE/MlCTHLf0VqmsUuDIuSx0ad0AIYG+6N6mAbYevoqqmsRh9TFUuJHHJvVEZD2TtdUbNmzAnj17EB0djdmzZ6N79+46+7/88ksAgJ+fH7755hvExsYCAG655RbI5XJ8++23+PXXX/HUU085MHwiIiLvJub3zfH3tcPXK4+Ld0AzWjaLdMp5tLnTLCRzyZ+HBjZH4/rB6NUu1okRGSGRoF5EIADg4dtaCL+72PFQnaR+nxj7LHP51EUBY9WVTT5uXtElloFdmiA7vxQ//ncah85mobS8CjPG99RU6qoXEvh0+WG0TYxC6/goxMeGaprdK5UqfP7bEcREBqK0XIGurWIAAAM6N8bOY9dx6GwWurVugNLyKnz6y2HsPHYdM5+/1WgynYhIn8lE17///guJRIK3337bIMl14cIFpKSkQCKR4J577tEkudTGjRuHJUuWYP369Ux0ERERwfYv/QFO7PczuHtTfL3yuNFpau2TonEsJdtpsTidGzU/lsmk6N2hkavDQL+OjRDgJ8fq2Z65WImrkyRkP5cXdAl4D1VWKQB4T6ILAB66rTmyC0qxdncqXn+yq04SqnvbWJy9nIdTl3Kx+3g6ACDAT4aWTSPROj4STRqEYP2+ywAAX7kU7ZtX37dTcgxCg3yx6cAVNKkfgveX7MWVzEL4yqVYuzeNiS4isorJ356PHj2K4OBgDBliOM1h+/btmp8HDhxosD8iIgLNmjVDWlqaSGESERF5n/H3tUP/Tk2QlnHT1aFgxjO9oFKpNF9M6gpXfY92o7yaScaa6ItFXdEWHR6A7HxOSSJT3KdPnSW1FV2GTd3rKolEgueGt8eo25MNpuzGRAZi6mNdAABZeSU4fSkXp1NzcepSDn5ef1bnM7BdUrSmB5iPXIq+HRth7Z40HDl3A1IJ8H9P98Tu4+nYuP8ynr2/vU4DfCIiY0wmunJzcxEXF2d03759+wAAUqkU3bp1MzomJCQEV69etT9CIiIiLzW0T4KrQ9CQSSVw9ZdOe8VEBqJnu1g8dFtzTJ2/3fIdSBTmknosuiJzpB5UHNU2IQort15AqzjnT8t2JYlEYrEvXf2IQNSPCES/To0BAMWllTiblofU9JuIiQxEYuMwnfG3dWmKv3dcQqN6wXhjTDc0iApCUIAP/tudiu1HruGOnnGOejhEVEeYTHRJpVJIjfzrolKpcPDgQUgkErRu3RrBwYYrpABATk4OwsLCjO4jIiIi63lC9Y8nkMmk+N9ovT/Q2ZlpkUklUChteIG84TUV+Nw+PaytgwIhd3Nnzzj8tzsVgPnFF5o1cO7KrPqkAt7D3dvG4pf37mK1kRWCAnzQKbk+OiXXN7o/qUk45rzYF03qh8Dfr/rravMm4WjaIAQb9l1moouILDL5d5KYmBijFVmHDx9GQUEBAODWW40vIZ2eno5r166hfn3jH15EREQknLHvXI7IlzCxZr0f37kD30+/3dVheHitHfDq411wb99EwfdjHy7XsvX5f/7BDpqfh/dPwmtPdEHvDg012z59uT/6d2qMji1d/F1C4MNjkks8zZtEaJJcQPV7bXC3pjh7OQ/HU7KhtOUPDETkNUxWdPXs2RPLli3Dhg0bMGjQIM323377TfPz7bcb/8Xu22+/hUQiQY8ePUQMlYiIiByJSYNaLz/aCb7meu3UPFchgYZVKGSZOpmqecfxO6vXUi++cDYtV7MtoVEYpozq7MKoqvET0b10a9MA3/x1Ev/7aifkMinqhQcgtl4QnrmvHRrWMz7LiIi8k8mKrpEjR0Imk2Hq1KlYunQpjh49ivnz52PlypWQSCTo0qULWrVqZXC/n376CUuXLoVUKsWwYZ65Sg8REZE7USdTWsdHuTgS7zGgcxPcqlVhIrbYekEOO7ZHcUBylRWJnskdXzYm/91Lw+hgvPdsLzxzfzvc2ycBzZuE42xqLj766YBmMQAiIsBMRVdSUhJeeeUVfPjhh3jvvfc021UqFSIiIvD+++/rjP/www+xadMmXLlyBSqVCqNHj0bLli0dFzkREZGXqBcRgC+mDtD8xfqh25rjt43nXRKLu33tmzKqMyIsNEJ2R1FhAa4OweFc/V5x9fnrMiYTyVU6NK+HDs3raW7vPn4dH3y3H8vWnsGTd7d2YWRE5E5MJroAYPTo0YiPj8fixYtx+vRpyOVy9OzZEy+//DKaNGmiM3bLli24fPky5HI5nnzySUydOtWhgRMREXmTplpNmZ+4qzVuFldg7Z40F0bkHvrXrOJFRM4ntODppZEdEejvOX2sWNDl/nq2a4jbezTDH5vPo1PL+miXFO3qkIjIDZhNdAFAv3790K9fP4sHeuSRR6BSqTBkyBA0atRIlOCIiIjI+fjljhxNXRAUFeqPrNwSBAZY/JXUKPVbNcBPhtJyhSixkeMM7NLU9E43rBITsuoiuc64e9vixIVszPn5ED6b0h/B7J1I5PVs+63CiNGjR4t1KCIiIrIgsXE4gDQ0jHb/Xk/1IwKQlVfq6jDIRVRm5rk9eXdrZOaWoJOdq+t9PW0wHv+/NXYdg8gA81wewd9PjimjOmPq/O14Zf52JDYKQ1R4AKLD/REdFoDo8Or/woP9IJXyRSXyBqIluoiIiMh57ujRDG3iI3WmNLqrTyb3xdWsIleHISp+VbLMmmIYH7kUA7s0sTzQgvAQz+vT5slUDii/cse+XxJe6R6jeZMIvPhIR6zbexnnr+Zj94l0gwb1MqkEUWH+iAoLQL3wAINkWMN6wQgO8JyptURkGhNdREREziDyFBiJROKwJJfYXzgjQvwREeIv7kFJB2dYEYmP15Vn6d+5Cfp3rk6cq1Qq3CyuQHZ+KXIKypBdUIrsfPV/ZTh/NR97TqSjQisZ5ucrw4uPdETvDmzDQ+TpmOgiIiIiAKxSIg9k5E3rhoVBRORkEokEYcF+CAv2Q6KJNUvUybCcgjJk55fi903nMeuHA8i+twz39Ut0bsBEJCqpqwMgIiIiz+OO04yE8PDwDbjz62E0NCcEzGocz+KI6ZD2kvBNVKepk2EJjcLQrU0DvP9cL7RNjMLq7Resuv/+Uxk4fyXPwVESkS2Y6CIiIiKrCf3e17+ziT+luwlrHk7j+sFIahzm8FjqGmv6GzGP4JmaxoRU/1/E6dOxbriwBt+e3sVHLkOruEhkF5RBoaie0njtRhFenLsF364+iSuZhTrjv155HK9/vgP7T2VYfY7Tl3Jx/EK2qHETkSFOXSQiIiKHmfJoZ1eHYLevXrtN9GPyCzR5sp7tGmL+lP6IixUv0eWOffxY0eV96kcEQqlUIedmGepHBGLb4Wu4cLUAqddv4s8tKWjZLAKDuzVFn1saQakCKqqUeH/JPrw0shP6dar+w87ljJuY/+sRTH2sC2IiAzXHzrtZhne+2YMm9YPx8aS+rnqIRF6BFV1EREREApn6/hsZytX/nImJCNeJbxhW55//Ov7wyIj6EdWJqRt5pQCAo+dvIKlxGJa8PQRPDW2DkrIqfP7bUTz+f2uRW1CKHm0bIDkuErOXHcR/u1MBAFsOXcXZtDx889cJnWMvWnUCxaWVULrzXHOiOsKmiq7y8nLk5+cjJiZGs23Tpk3466+/oFQq0bdvXwwfPhxSKfNoRERE7qptYhROXMgx2M4vd7b58f/ugK8Pf/cxYOQ7Hb/mkSfgZ6H3qRcRAADIyitBfFkozqTm4r5+iYgI8cf9/ZNwX79EnL+Sj/X7LmP74atIaBiG4QOb48Pv9+PL34+iuLQSh89mQSaVYPfxdBw9dwMdWtTD/lMZ2H7kmuY9VVZRBV+5DFIp32REjiA40bV06VLMmTMHd9xxB95//30AwG+//Ya3334bQPXqFevXr8fGjRvx1VdfiRstERERkZsKD6kb1VxzX+wnzmOx4vubNX28bMWiCSISqn7NVMOsvBKcvJgDhVKFji3qa/ZLJBK0aBqBFk0j8PwD7TVVjf8b3Q1zfz6E7/85BQB4eFALbD10FV+vOo5ZE/rgqxXH0CQmBBEhfiguq8RD0/5Bu8RofPD8rc5/kEReQNCfHXfu3Il3330XxcXFKCysbsZXVVWFOXPmAAB69uyJiRMnIjo6Glu2bMEff/whfsRERETkUEwQeB4xK0+SmoQjOjxAvAM6GesjSCx1fWomGfLzkSE82A838kpx5NwN+MqlaBUfaXSs9vvDRy7FlFGdcXuPZpBKJejdoSHG3tsWlzMKMXX+NtzIK8WEhzpALpdCoaj+R/ZMWq5THhORNxJU0bVs2TJIJBK89NJLGD9+PABg9+7dyMvLQ1RUFBYuXAgfHx8MHjwYw4YNw8qVK/HAAw84JHAiIiKyj341Db/TUV3APC2JhR+J3qleRACyckuQc7MMrROi4Osjs+p+MqkELzzYAY/f2QphwX6Iiw3FLS3q4ci5G7izZxxax0c5OHIiUhOU6Dp69CiioqLw9NNPa7Zt3boVADBgwAD4+PgAAFq0aIGmTZvi3LlzIoZKRERERJ4isVEYzqblISTI12CfWFWD5hIRrk7czhjfk02nPR0zXV6pfkQgjl/Ixs3iCgzs3ETQfSUSCcKC/TQ/v/BgB/y1/SJG3Z7siFCJyARBia6CggIkJyfrlGlu374dEokEvXr10hkbHByMa9euiRMlERERiU5lR+2Lysu/wHNKk2XjhrXDbV2bolG9YNODbHwa5TIpqhRK2+7sJB1b1rc8iNyalNe5V6oXEYCbxRUAgFta1LPrWA2igjD+vnaa21KJRPPZVVmlxI28Uk0DfCISj6AeXfXq1UN+fr7m9pUrV5CWlgaJRIIePXpotisUCly9ehVhYWGiBUpEROTJ3PHrkm2NwN3xkZA78pFL0aJphKvDICISpH5EdUP6kEBfxDcU9/tsZKg/CorKNbfHvb8O7yzeg93Hr7t98p7IkwhKdCUkJODq1as4ePAgAODXX38FAHTo0AGRkbVN+pYsWYKCggK0bdtWxFCJiIiIiAB24iJnYOWmd6pfU2HVoXk0pFJx3wPR4QEoLKkEAAzu1hQP3dYCF68V4IPv9mPMu+vw3d8ncf1GkajnJPJGgqYujhgxAjt27MDYsWMRHx+PM2fOQCKRYNSoUQCAixcvYubMmdixYwckEgkeeeQRhwRNRERE9jP1Hc4rvtt5+dTLusIr3qvkMnx/eaeGNdOtOyeLP/24Xri/5ueYyECMGNwSI4e0xMGzWVi3Jw1/br2APzanoG1iFG7v3gw92zeEn5XN8ImolqBE1+DBg/Hyyy/js88+w+nTpyGTyfD444/jnnvuAQCUl5dj+/btkMlkmDZtGgYMGOCQoImIiIjEIKv5a31ynPHl4x3F679AW5lnfOb+dppeOUTO5u2XqbdqEhOCD1/o7ZB/F6LDDftxyWRSdGvdAN1aN0DuzTJs3H8Z6/amYfayQwj68zieGtoGQ7o3Ez0WorpMUKILAMaPH48RI0YgNTUVjRo1QnR0tGZffHw8Xn75Zdx5551o0kTYChVERETkHsQodnpgQBL+2Jxi/4EcTC6XYt5L/RAbHeTqULySpUTCPb0TBB/T2xdKIBF5fUbae7VJiHLIcY0lurRFhvrjodta4IEBzXHiYja+WXUSP689g66tYrBmdypaNovELS3qiT6lkqiuEZzoAoCwsDB06NDBYLu/vz/Gjx9vd1BERETebHj/JJy8mOOCM4v3i/Poe9pg9D1tRDueIyU2Dnd1CCRQh+b1cPBMloUeSvwiSPZhLoHEZinRpSaVStA+qR5u69YEi1aewOQ5W5BXWN3EvkFUIO7oEYdB3ZoiLNjPkeESeSybEl3l5eXIz89HTEyMZtumTZvw119/QalUom/fvhg+fDikUkG97omIiAjAmKGekSDS9+aYbjh/Jd/VYZAXeP2JrriRXwq5jL9r1iUfT+oDpZIVeVR3+fvKERLoo2lIb0mrmumTMqkEH0/qg6zcEvy7KxXf/XMKP605g94dGuLOXnFoFRfJxROItAhOdC1duhRz5szBHXfcgffffx8A8Ntvv+Htt98GUF0uvn79emzcuBFfffWVuNESERGRaMT+nbh721h0bxsr7kGpTurcqj4uXi9AeIht1Qj+fnI0iQkROSpyteRmzu2VZwkTB+QI2isvWpLUOByvPdEFbeKjEBHqj+RmkejbsTHSMm5ize5UbDpwBVsOXUWDqEDMfbEfggN9HRw9kWcQ9GewnTt34t1330VxcTEKCwsBAFVVVZgzZw4AoGfPnpg4cSKio6OxZcsW/PHHH+JHTERERC7D730khlF3tML3029HVJh103iIXIEfd+QI1k5fBKqTrb07NEJEqL/O9mYNQvHM/e3x/du3o2e7WGTklGDkW//h6Q/WY/X2iyivVIgdNpFHEVTRtWzZMkgkErz00kuaXly7d+9GXl4eoqKisHDhQvj4+GDw4MEYNmwYVq5ciQceeMAhgRMRERGRZ5JJJYjU++JG5HaY6SIHiBYxwe/vJ8fUx7rg4JlMXMksxIHTmfh65XEs33AWfW5phEFdm7IPJXklQYmuo0ePIioqCk8//bRm29atWwEAAwYMgI+PDwCgRYsWaNq0Kc6dOydiqERERCS2QH85SsqqXB2Gw3RtHYP9pzJdHQYReSBOXSRHEFLRZQ0fuRQ92saiR9tYPDiwOY5fyMbfOy5hze40/L3jEjon18cjg1siOc69pgYTOZKgRFdBQQGSk5N1PvS3b98OiUSCXr166YwNDg7GtWvXxImSiIjIw7nj9yUJJPjmzSGo0Jvi4I6x2mrak11RVGpdLxRPJmNTdiLR1aGPQnIjYie6tEkk1as1tk+qh6LSSvy36xL+3HIBUz/bjlua18OLIztyyjh5BUG/FdWrVw/5+fma21euXEFaWhokEgl69Oih2a5QKHD16lWEhYWJFigRERGJLzjAx2AKmaoOLXrmI5chIqTuT5Hz85G5OgSiOocVXeQI9RyY6NIWHOCDh25rgW/eHIwx97TBqdRcLFp1wujYnUev453Fe9jbi+oMQYmuhIQEXL16FQcPHgQA/PrrrwCADh06IDKythRyyZIlKCgoQNu2bUUMlYiIiBzJm77T1aFcHpngTe9ncgy+h8gRHFnRZUyAnxzDByThwQFJ2Hn0OhasOIaFfx7DghXHcOhMFpRKFc6k5eLA6UwsWX3SqbEROYqgqYsjRozAjh07MHbsWMTHx+PMmTOQSCQYNWoUAODixYuYOXMmduzYAYlEgkceecQhQRMRERGJwVXfY1kpQuT+eJWSI0SH+yPAT4ZAfx+nnvf+AUnYfvQa1u5Jg5+PFAqlCv/svISG0UEI8K9OC/yz8xI6tayPbm0aODU2IrEJSnQNHjwYL7/8Mj777DOcPn0aMpkMjz/+OO655x4AQHl5ObZv3w6ZTIZp06ZhwIABDgmaiIiIRMBvcUREpjEhTQ7gI5fhs1cGIiLEz6nn9feV48tXb9PcrqxSYuex6/hnx0WcSctDUIAPYiICMe+Xw/jslf7s5UUeTVCiCwDGjx+PESNGIDU1FY0aNUJ0dLRmX3x8PF5++WXceeedaNKkiaiBEhERkbjs+QpXl/p4EREZwzQXOUpMZKCrQ4CPXIr+nRqjf6fGSLmaj4pKBUICffHi3K2Y+/MhvDO+F2TS2qugpKwSy9aexYjBLRAS6OvCyIkss2mJnrCwMHTo0EEnyQUA/v7+GD9+fJ1Mci1cuBAjR450dRhELsXrgIi8/Yvf9HE90LNdrKvDICInYEEXeYukxuFoHR+FJjEhGH9fWxw9n40X52zBobNZmjHnr+Rj1bYL+H3jeRdGSmQdwRVdatu3b8eWLVuQmpqK4uJiBAYGomnTpujduzduu+22OtV7YunSpZg7dy46duzo6lCIXIbXARER0KVVDLq0inF1GF6rXWI0jl/IdnUY5CXq0vcZImsN6d4MQQE++O7vU5j+9W50bFEPY4a20ez/Z9cl3N8/CeFaUy+VShWUKhXkMpvqaIhEJzjRlZOTgxdffBEHDhwAAKi05i7s3r0by5cvR8eOHTF37lzExHj2L4KZmZmYPn069u7di/j4eFeHQ+QSvA6IvAenI5K7e2tsd9zIKzE7hu9jz5DQKAy392jm6jCMmvNiX+w5keHqMIhcQiKRoHeHRujepgH+2ZmK5evPYvKcLUhuFgkAKK9Q4M8tKTrJryV/n8TKrRcAAKtnD3NJ3ETaBCW6ysvL8dRTT+Hs2bMICAjAkCFD0Lp1awQGBqKoqAgnTpzApk2bcOjQITz77LNYvnw5fH09d/7uyZMnERQUhL/++gtffPEF0tLSXB0SkdPxOiCqu1itQJ4mwE+Opg1CrRrLt7d7+/Tl/q4OwaTmTSLQvEmEq8MgcikfuQz39UvEoK5NsHzDOfy94xIAoGF0kE5Vl0KhxKYDV1wcLZEuQYmun376CWfPnkVycjIWLlxotGIrIyMD48ePx5kzZ/Drr7/iscceEy1YZxs4cCAGDhzo6jCIXIrXAZH3YGLAM425p43lQURERDYIDvTF2Hvb4u5b47H/VCbaN4/GpE8244/N5zH23rY4fiEbN4srXB0mkQ5Bia5//vkHUqkUn376qclpiQ0aNMCnn36Ku+66C6tXr3bLRFdaWhqGDBlicv/GjRvRuHFjJ0ZE5Hy8DojI6zvLO9Hou1tD6aA5dcMHJDnkuERERGoNooIwtE8CAKBfp8ZYufUCbhZXoLxSAX9fGcoqFC6OkKiWoETXpUuXkJSUhGbNzM+nj4+PR1JSEi5dumRXcI7SsGFD/Pvvvyb3e3pvMSJr8Dogci5OE/RuDwxs7uoQiIiIRPH8gx0QHR6AP7ekoEqhQt9bGkGhUuFyxk1Xh0YEQGCiS6VSQSaTWTVWJpOhsrLSpqAczcfHB4mJia4Og8ileB0QEREREZFQ/r5yPHFXa9zWtSn+3JKCu2+Nx/IN56BUcjUQcg+C1v9s2rQpzp8/j6ysLLPjMjMzkZKSwmlPREREbsyeGjMVPPuX2bqwMt/IIS0x/r52rg6DiIi8VKN6wZjw0C2IbxiGhtFBuHajGB//dABFpe5Z8ELeQ1Cia/DgwaiqqsLUqVNRVFRkdExRURGmTp0KhUKBwYMHixIkERERuYc6NwPTgx/Qo7cna/qlEBERudKo25Px2B3J2HH0OiZ+shlbDl7BWwt34eK1AleHRl5IUKJr9OjRiI2Nxb59+3DHHXdg1qxZWL16NTZt2oS//voLs2bNwh133IF9+/YhNjYWY8aMETXYFStWoGXLljhw4IDJMbt27cITTzyB7t27o1OnTnj88cexfft2UeMgciVeB0QkFv2+YXWhyonI06sNiYg8kUwmxYjBLfHxxD7wlUsxe9khHDl3A5PnbMH1bONFMkSOIqhHV0hICJYsWYJnn30Wqamp+O677wzGqFQqxMfH44svvkBISIhYceLw4cN49913zY5ZsWIFpk2bBl9fX/To0QNKpRJ79+7FuHHjMGPGDIwYMcLm83/44Yc235dILLwOiEhMT97d2tUhEInmvWd7Ia+wHOev5NVs8dxqPSIiT9WiaQTmvdwfc5YdxJ4TGQCAtxbswqwJfRAdHuDi6MhbCEp0AUBcXBz+/vtv/PPPP9i6dStSU1NRXFyMwMBAxMfHo1+/frjrrrvg4+MjWpDr1q3D66+/jpKSEpNjsrKyMH36dISEhGDZsmVo0aIFAODYsWMYM2YM3n//ffTv358ryZHH4nVARGKLiw3Vue3Bs/iI0KF5PQDQSnQREZErBPjJ8caY7igrr8LVrCL876udeGvhLnz4Qm+EBfu5OjzyAoKmLi5duhR79uyBXC7HsGHDMGfOHKxYsQJr167Fn3/+iTlz5mDYsGGiJbkyMjLw6quvYuLEiVAqlYiOjjY59qeffkJFRQVGjx6t+XIPAO3bt8e4ceNQXl6O5cuXixIXkTPxOiD6//buPK6qOvH/+Pte4LKIiguSiqGIkEUauGCuuTY1uY6WW46lY7m02LdS2xw1baxvU47zaxnRmkwns5y0tHKpydxwQxE1BVFMi8UEVEDW+/vDL0wGKAj3Hu69r+fjweMxnHPuue/LfD6P5M05nwMAAABH4+XprpAWfnppQpTSzudo9pKdyrqUZ3QsuIAqFV3vvPOOJk+erAsXLtgqz1XefPNNrV27VuHh4Vq1apWCgytecLVk/aF+/fqV2VeyKP7WrVttExSwIeYBAAAAAEcV3rqxZo3vrNMpF/X037bqdIp9+gS4rioVXVlZWWrVqpXq1at3/YNrQHBwsBYuXKjVq1crLCyswuOsVqsSExNlNpvLLQFatmwps9msxMREWVlpFw6GeQAAAADAkXVsG6BXpnTT5fwiPbP4e+09mmp0JDixKhVdbdu2VXJysjIy7LP2waRJkzRkyBCZzdeOmZWVpfz8fPn5+clisZTZ7+7urgYNGig3N1fZ2dm2igvYBPMAQG1EXw4AAKoiLKih/vpEL93UsI7mLd2lz747wR/gYRNVKroWLFigunXratSoUVq9erUSEhKUmZmp3NzcCr/soeR9vL0rfoqDl5eXJPELPpwW8wCAfbBiPWq3Fk2uPPX7pkY+BicBAPyWfwNvLZzWXVHhTbV0Xbz+vvqgCgqLjY4FJ1Olpy4++eSTMplMSk5O1ksvvXTd400mk44cOXLD4Srrele6SKIphtNjHgAAIN3dJUitmtVTWFBDo6MAAMrh5emumeM6acXXP+jjzcf107lLmjmuE09kRI2p0hVdCQkJ+vnnn2W1Wiv1VVxsn2bWx+fKX+zy8ip+gkPJvmtd7QI4MuYBgOoyma5crdUrMtDgJMCNM5lMlFwAUMuZzSY9eE9b/c+YDjqWnMEi9ahRVbqia8uWLbbKUS2+vr7y8fFRRkaGCgsL5e5+9ccqLCxURkaGPD097baQPmBvzAMA1eVmNmnlvHvk41mlfx4AAADckLsiA9W0kY9efm+3nln8vZ4Z21Ed2wYYHQsOrkr/km3evLmtclSLyWRSSEiI4uLidOrUKYWEhFy1/+TJkyouLlZoaKhBCQHbYx4AqAl1fco+zMKZseIYAADGKlmk/uVlMZq3dJceGhiuwT2DS680B6qq0rcuXr58+Zr7t2/frszMzOrmuWE9evSQJG3evLnMvpJtvXr1smsmwN6YBwAAAAAcDYvUoyZdt+i6dOmSXnnlFXXr1k0pKSnlHlNYWKjHHntMvXr10vz585WTk1PjQa9n2LBh8vT01JIlSxQfH1+6/dChQ4qOjpaXl5dGjx5t91yAPTEPAAAAADiikkXq7+8Xqo0xyXrx3R3KulTx+sNARa5ZdKWmpmrEiBH64IMPlJ2drd27d5d7XFJSkvLz85WXl6cPP/xQw4cPV3p6uk0CVyQwMFAzZszQpUuXNHLkSE2cOFETJkzQqFGjlJ2drblz56pRo0Z2zQTYG/MAAAAAgKP69SL1x09fWaQ+5Zdso2PBwVRYdBUXF2vKlCk6efKk/Pz8NGPGDPXs2bPcY0NDQ7V792698MILqlevnpKSkvTYY4/JarXaLHh5xowZo3feeUft27fXvn37FB8fr8jISL333nsaPHiwXbMARmEeAAAAAHBkd0UGasGUbsrOLdDM/7dNZ9IuGh0JDqTCxejXrVunw4cPKygoSMuXL1eTJk2ueSIfHx+NHTtWvXr10ujRo3Xw4EF9+eWXuvfee2ss7PLly697TO/evdW7d+8ae0+gtmEeADAS68ICAAB7uCWooeZP7qYX392hWW9t18uPdlXQTTw9HtdX4RVdX3zxhUwmk55//vnrlly/1qJFC7344ouyWq1at25djYQEAAAAAACupVWz+nplSneZTdJzb21X0tksoyPBAVRYdB09elT16tWr8HbFa+nfv7/q169/1WLYAAC4usAmvnpyZITRMQAAABxGi4C6emVqd1k83PTc29t1/HSG0ZFQy1VYdGVlZal58+Y3dFKTyaQWLVooMzPzRnMBAOB03p7RV3073Wx0DAAAAIfSrLGv/jK1u+r6eOiFd3bocNIvRkdCLVZh0eXl5VWtourixYuyWCw3/HoAAAAAAABJCmjoo79M7a6G9Tw1e8lOHUxINzoSaqkKi67g4GClpqbeUNmVkZGhs2fPqmnTptXJBgAAAAAAIElqVN9br0zproCGPpobvUv7fkg1OhJqoQqLru7du6u4uFjvvfdelU+6fPlyFRYWqkOHDtUKBwAAYEs8RRIAAMfSoJ6XFkzupsAmdfXyst3aFf+z0ZFQy1RYdD3wwAOyWCxatmyZNm3aVOkTfvvtt3r33XdlMpk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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(20,8), gridspec_kw={'width_ratios': [1, 10]})\n", "sns.boxplot(y=u235_ng[[\"Data\"]].values, ax=ax1)\n", "ax1.set_yscale('log')\n", "ax2.loglog(u235_ng.Energy, u235_ng.Data)\n", "\n", "ax1.set_ylabel(\"Cross Section (b)\")\n", "ax2.set_xlabel(\"Energy (eV)\")\n", "\n", "plt.savefig(os.path.join(figure_dir, \"u235_ng_xs_dist.png\"), bbox_inches='tight', dpi=300)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As an example let us use the quantile information to remove some \"outliers\" for this particular reaction only." ] }, { "cell_type": "code", "execution_count": 107, "metadata": { "ExecuteTime": { "end_time": "2021-02-07T18:48:55.904429Z", "start_time": "2021-02-07T18:48:55.891430Z" } }, "outputs": [], "source": [ "without_outliers = u235_ng[np.log10(u235_ng.Data) < np.log10(u235_ng.Data).quantile(.75)]\n", "# without_outliers = without_outliers[np.log10(without_outliers.Data) > np.log10(without_outliers.Data).quantile(.05)]" ] }, { "cell_type": "code", "execution_count": 109, "metadata": { "ExecuteTime": { "end_time": "2021-02-07T18:52:43.499273Z", "start_time": "2021-02-07T18:52:39.792949Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(20,8), gridspec_kw={'width_ratios': [1, 10]})\n", "sns.boxplot(y=without_outliers[[\"Data\"]].values, ax=ax1)\n", "ax1.set_yscale('log')\n", "ax2.loglog(without_outliers.Energy, without_outliers.Data)\n", "\n", "ax1.set_ylabel(\"Cross Section (b)\")\n", "ax2.set_xlabel(\"Energy (eV)\")\n", "\n", "plt.savefig(os.path.join(figure_dir, \"u235_ng_xs_dist_without_outliers.png\"), bbox_inches='tight', dpi=300)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These types of processes are not acceptable. We lose a lot of useful information. In another notebook, we shall use more advanced methods including robust covariance, one-class SVM, and isolation forests to try and clean the data better. \n", "\n", "In a different note, another benefit of applying a log transformation is the easy visualization and the creation of correlation." ] }, { "cell_type": "code", "execution_count": 236, "metadata": { "ExecuteTime": { "end_time": "2021-02-05T05:39:05.538622Z", "start_time": "2021-02-05T05:39:05.528622Z" } }, "outputs": [ { "data": { "text/html": [ "
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EnergyData
Energy1.000000-0.019248
Data-0.0192481.000000
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" ], "text/plain": [ " Energy Data\n", "Energy 1.000000 -0.019248\n", "Data -0.019248 1.000000" ] }, "execution_count": 236, "metadata": {}, "output_type": "execute_result" } ], "source": [ "u235_ng[[\"Energy\", \"Data\"]].corr()" ] }, { "cell_type": "code", "execution_count": 237, "metadata": { "ExecuteTime": { "end_time": "2021-02-05T05:39:17.368250Z", "start_time": "2021-02-05T05:39:17.359235Z" } }, "outputs": [ { "data": { "text/html": [ "
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EnergyData
Energy1.000000-0.430042
Data-0.4300421.000000
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" ], "text/plain": [ " Energy Data\n", "Energy 1.000000 -0.430042\n", "Data -0.430042 1.000000" ] }, "execution_count": 237, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.log10(u235_ng[[\"Energy\", \"Data\"]]).corr()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Reaction Channel (MT Values) - Categorical\n", "\n", "Before modeling the EXFOR database, we need to understand the possible limitations of any model using this data. There are a variety of reaction channels but not all of them all well researched. Knowing the reaction class balances will allow us to have a certain degree of confidence when deploying a model. " ] }, { "cell_type": "code", "execution_count": 192, "metadata": { "ExecuteTime": { "end_time": "2021-02-05T03:58:15.690122Z", "start_time": "2021-02-05T03:58:12.181749Z" } }, "outputs": [], "source": [ "# This file contains the meaning of each MT code, useful for plotting\n", "mt_codes = pd.read_csv(\"../CSV_Files/mt_codes.csv\")\n", "mt_codes[\"MT\"] = mt_codes.astype(str)\n", "mt_codes = mt_codes[[\"MT\", \"MT_Reaction_Notation\"]]\n", "\n", "MT_value_counts = df.MT.astype(str).value_counts()\n", "MT_value_counts = pd.DataFrame(MT_value_counts).reset_index()\n", "MT_value_counts.columns = [\"MT\", \"Count\"]\n", "\n", "MT_value_counts = mt_codes.merge(MT_value_counts).sort_values(by=\"Count\", ascending=False)\n", "MT_value_counts[\"MT\"] = MT_value_counts[\"MT\"].astype(int)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**What are the highest researched reaction channels?**\n", "\n", "It appears that (n, fission) is the most researched reaction. This makes sense since many resources have been spent trying to understand fission, especially since it is by this mechanism that nuclear reactors and weapons work. The next one is (N,G), a reaction important for studies in safety and neutron moderation." ] }, { "cell_type": "code", "execution_count": 193, "metadata": { "ExecuteTime": { "end_time": "2021-02-05T03:58:15.698124Z", "start_time": "2021-02-05T03:58:15.691122Z" } }, "outputs": [ { "data": { "text/html": [ "
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MTMT_Reaction_NotationCount
618(n,fission)507541
17102(n,g)215904
349000Production Data84333
1551(n,n1)49835
34(n,inelastic)37641
12(n,elastic)37296
18103(n,p)17270
22107(n,a)15295
416(n,2n)10930
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" ], "text/plain": [ " MT MT_Reaction_Notation Count\n", "6 18 (n,fission) 507541\n", "17 102 (n,g) 215904\n", "34 9000 Production Data 84333\n", "15 51 (n,n1) 49835\n", "3 4 (n,inelastic) 37641\n", "1 2 (n,elastic) 37296\n", "18 103 (n,p) 17270\n", "22 107 (n,a) 15295\n", "4 16 (n,2n) 10930" ] }, "execution_count": 193, "metadata": {}, "output_type": "execute_result" } ], "source": [ "MT_value_counts[1:10]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**What is the label (cross-section) distribution as a function of the reaction channel?**\n", "\n", "There is no need to look at the distribution of cross-section data in regards to the reaction channel. Usual statistics will not work here. The cross-section ranges are a function of the element/isotope, and the reaction channel. Statistics based on the entire dataset will result in erroneous conclusions. As an example, let us observe the `Data` distribution of the most researched channels." ] }, { "cell_type": "code", "execution_count": 102, "metadata": { "ExecuteTime": { "end_time": "2021-02-04T20:21:28.737406Z", "start_time": "2021-02-04T20:21:27.493371Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i in MT_value_counts[1:5].MT.values:\n", " plt.figure(figsize=(17,1))\n", " sns.boxplot(x=np.log10(df[df.MT == int(i)].Data).values)\n", " plt.xlabel(\"MT={} Data (Log10)\".format(i))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**What are the lowest researched reaction channels?**\n", "\n", "Reactions with a high number of outgoing particles have much lower probabilities than those with only one or two resulting particles. It will be harder to model these types of reactions but representing this feature as numerical might help extrapolate knowledge from the other highly researched reactions. For know, let us confirm our expectations." ] }, { "cell_type": "code", "execution_count": 104, "metadata": { "ExecuteTime": { "end_time": "2021-02-04T20:32:07.787656Z", "start_time": "2021-02-04T20:32:07.778655Z" } }, "outputs": [ { "data": { "text/html": [ "
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MTMT_Reaction_NotationCount
25112(n,p+a)20
332103(n,p)DI17
30203(n,Xp)9
1441(n,2n+p)7
23108(n,2a)6
28158(n,n+a+d)5
26113(n,t+2a)2
321108(n,2a)CALC2
29159(n,2n+p+a)1
1337(n,4n)1
\n", "
" ], "text/plain": [ " MT MT_Reaction_Notation Count\n", "25 112 (n,p+a) 20\n", "33 2103 (n,p)DI 17\n", "30 203 (n,Xp) 9\n", "14 41 (n,2n+p) 7\n", "23 108 (n,2a) 6\n", "28 158 (n,n+a+d) 5\n", "26 113 (n,t+2a) 2\n", "32 1108 (n,2a)CALC 2\n", "29 159 (n,2n+p+a) 1\n", "13 37 (n,4n) 1" ] }, "execution_count": 104, "metadata": {}, "output_type": "execute_result" } ], "source": [ "MT_value_counts[-10:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These reactions are expected to have similar ranges in terms of Cross Section so we can plot them." ] }, { "cell_type": "code", "execution_count": 194, "metadata": { "ExecuteTime": { "end_time": "2021-02-05T04:03:37.622403Z", "start_time": "2021-02-05T04:03:34.333093Z" } }, "outputs": [], "source": [ "low_research = df[df['MT'].astype(str).isin(MT_value_counts[-10:].MT.values.astype(str))]" ] }, { "cell_type": "code", "execution_count": 198, "metadata": { "ExecuteTime": { "end_time": "2021-02-05T04:04:14.794739Z", "start_time": "2021-02-05T04:04:14.416920Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 28.400000000000034, 'Reaction Channel (MT)')" ] }, "execution_count": 198, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(14,8))\n", "sns.catplot(x=\"MT\", y=\"Data\", data=low_research, height=6, aspect=2, kind=\"box\")\n", "plt.ylabel(\"Cross Section (b)\")\n", "plt.xlabel(\"Reaction Channel (MT)\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Proton and Neutron Distribution\n", "\n", "Previously we mentioned that the most important features are the Energy, Reaction Channel, and the Isotope. **What characterizes the isotope?** The isotope is made of neutrons and protons. Understanding the distributions will help us understand in what regions our models are expected to perform well and for which isotopes the performance might be poor." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "ExecuteTime": { "end_time": "2021-02-11T06:47:06.854205Z", "start_time": "2021-02-11T06:46:28.865502Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\Pedro\\Anaconda3\\envs\\tf_nightly\\lib\\site-packages\\seaborn\\distributions.py:2557: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n", " warnings.warn(msg, FutureWarning)\n", "C:\\Users\\Pedro\\Anaconda3\\envs\\tf_nightly\\lib\\site-packages\\seaborn\\distributions.py:2557: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n", " warnings.warn(msg, FutureWarning)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(14,8))\n", "sns.distplot(df.Z.values, label=\"Protons\")\n", "sns.distplot(df.N.values, label=\"Neutrons\")\n", "# plt.xlabel('Number of Neutrons')\n", "plt.ylabel('Distribution')\n", "plt.xlabel('Proton (Z) and Neutron (N) Number')\n", "plt.legend()\n", "plt.title(\"Proton and Neutron Distribution\")\n", "plt.savefig(os.path.join(figure_dir, \"proton_neutron_distribution.png\"), bbox_inches='tight', dpi=300)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Apparently, we have a lot of data for:\n", "\n", "- Isotopes with protons and neutrons near 26 (~Iron)\n", "- Neutrons in the 145 range (~Uranium, Plutonium)\n", "- Protons in the 92 range (~Uranium)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Experimental Campaigns per Year\n", "\n", "One of the biggest challenges with this data set is the measurement uncertainties. These are usually reported when creating an entry in EXFOR. However, there are plenty of missing values for uncertainties in terms of both the Energy and the Data. These are suspected to be mostly in old measurements. Let us explore the dataset to find out." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "ExecuteTime": { "end_time": "2021-02-11T06:50:00.773736Z", "start_time": "2021-02-11T06:49:31.239655Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\Pedro\\Anaconda3\\envs\\tf_nightly\\lib\\site-packages\\IPython\\core\\interactiveshell.py:3146: DtypeWarning: Columns (17,30,31) have mixed types.Specify dtype option on import or set low_memory=False.\n", " has_raised = await self.run_ast_nodes(code_ast.body, cell_name,\n" ] } ], "source": [ "df_original = pd.read_csv(\"../CSV_Files/EXFOR_neutrons/EXFOR_neutrons_ORIGINAL.csv\")" ] }, { "cell_type": "code", "execution_count": 209, "metadata": { "ExecuteTime": { "end_time": "2021-02-05T04:17:03.813633Z", "start_time": "2021-02-05T04:17:03.373475Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "18.00% of the uncertainties in Cross Section are missing\n" ] } ], "source": [ "missing_uncertanties_data = len(df_original[df_original[\"dData\"].isnull()]) / len(df_original)\n", "print(\"{0:.2f}% of the uncertainties in Cross Section are missing\".format(missing_uncertanties_data*100))" ] }, { "cell_type": "code", "execution_count": 211, "metadata": { "ExecuteTime": { "end_time": "2021-02-05T04:17:27.167240Z", "start_time": "2021-02-05T04:17:25.358699Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "77.02% of the uncertainties in Energy are missing\n" ] } ], "source": [ "missing_uncertanties_energy = len(df_original[df_original[\"dEnergy\"].isnull()]) / len(df_original)\n", "print(\"{0:.2f}% of the uncertainties in Energy are missing\".format(missing_uncertanties_energy*100))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Massive amounts of data did not report uncertainties in either Energy or the Cross-Section**. The high number of missing values will present a unique challenge if we are to model uncertainties also in multi-output regression." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "ExecuteTime": { "end_time": "2021-02-11T06:50:06.960568Z", "start_time": "2021-02-11T06:50:06.078205Z" } }, "outputs": [], "source": [ "years_with_missing_uncertainties = df_original[df_original['dData'].isnull()].Year\n", "institutes_with_missing_uncertainties = df_original[df_original['dData'].isnull()].Institute" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "ExecuteTime": { "end_time": "2021-02-11T06:50:08.888195Z", "start_time": "2021-02-11T06:50:06.961560Z" } }, "outputs": [], "source": [ "years_with_missing_uncertainties_e = df_original[df_original['dEnergy'].isnull()].Year" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "ExecuteTime": { "end_time": "2021-02-11T06:50:40.525579Z", "start_time": "2021-02-11T06:50:38.238311Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, '(a)')" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.displot(years_with_missing_uncertainties_e, height=6, aspect=3, bins=50)\n", "plt.title(\"(a)\")" ] }, { "cell_type": "code", "execution_count": 212, "metadata": { "ExecuteTime": { "end_time": "2021-02-05T04:19:07.292709Z", "start_time": "2021-02-05T04:19:06.525231Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Missing Values per Year')" ] }, "execution_count": 212, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.displot(years_with_missing_uncertainties, height=6, aspect=3, bins=50)\n", "plt.title(\"Missing Values per Year\")\n", "plt.savefig(os.path.join(figure_dir, \"missing.png\"), bbox_inches='tight', dpi=300)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "ExecuteTime": { "end_time": "2021-02-11T06:56:09.477502Z", "start_time": "2021-02-11T06:56:07.792851Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(2, figsize=(20,10))\n", "ax1.hist(years_with_missing_uncertainties, bins=50, label=\"Missing Cross Section Uncertainties\")\n", "ax2.hist(years_with_missing_uncertainties_e, bins=50, label=\"Missing Energy Uncertainties\")\n", "ax1.set_ylabel('Count')\n", "ax2.set_ylabel('Count') \n", "ax2.set_xlabel('Year')\n", "ax1.legend()\n", "ax2.legend()\n", "plt.savefig(os.path.join(figure_dir, \"xs_e_unc_hist.png\"), bbox_inches='tight', dpi=300)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Indeed, most of the measurements perform from the 50s to the 80s simply did not reported uncertainties. **What institutes are responsible for the datapoints containing missing uncertainties?**" ] }, { "cell_type": "code", "execution_count": 167, "metadata": { "ExecuteTime": { "end_time": "2021-02-04T23:02:13.104073Z", "start_time": "2021-02-04T23:02:12.930070Z" } }, "outputs": [], "source": [ "institutes_with_missing_uncertainties = institutes_with_missing_uncertainties.value_counts()[:10]\n", "institutes_with_missing_uncertainties = pd.DataFrame(institutes_with_missing_uncertainties).reset_index()\n", "institutes_with_missing_uncertainties.columns = [\"Institute\", \"Count\"]" ] }, { "cell_type": "code", "execution_count": 168, "metadata": { "ExecuteTime": { "end_time": "2021-02-04T23:02:15.738176Z", "start_time": "2021-02-04T23:02:15.730176Z" } }, "outputs": [ { "data": { "text/html": [ "
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32GERKFK117092
41USARPI109206
52ZZZGEL73840
61USAANL41487
71USADKE33990
81USAMTR25559
92AUSIRK24367
\n", "
" ], "text/plain": [ " Institute Count\n", "0 1USAORL 152356\n", "1 1USACOL 149661\n", "2 1USALAS 121619\n", "3 2GERKFK 117092\n", "4 1USARPI 109206\n", "5 2ZZZGEL 73840\n", "6 1USAANL 41487\n", "7 1USADKE 33990\n", "8 1USAMTR 25559\n", "9 2AUSIRK 24367" ] }, "execution_count": 168, "metadata": {}, "output_type": "execute_result" } ], "source": [ "institutes_with_missing_uncertainties" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Interestingly, ORNL-based experimental campaigns failed the most to report uncertainties followed by Columbia University. Should we use the uncertainties feature or should we drop these and focus on the raw data?\n", "\n", "## Isotope Distributions\n", "\n", "**What are the highest researched isotopes?** Fe-56, Pu-239, U-235, 238U 233U Al-27 Np-237, 91Zr cover the majority of the measurements here." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2021-02-11T06:28:37.467392Z", "start_time": "2021-02-11T06:28:37.105046Z" } }, "outputs": [], "source": [ "isotope_distribution = pd.DataFrame(df.Isotope.value_counts()).reset_index()\n", "isotope_distribution.columns = [\"Isotope\", \"Count\"]\n", "# print(isotope_distribution.to_latex(index=False))" ] }, { "cell_type": "code", "execution_count": 220, "metadata": { "ExecuteTime": { "end_time": "2021-02-05T04:33:56.047316Z", "start_time": "2021-02-05T04:33:56.039313Z" } }, "outputs": [ { "data": { "text/html": [ "
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IsotopeCount
056Fe234812
1239Pu213238
2235U186202
3233U132829
4238U126862
5237Np121401
691Zr102523
728Si96671
8241Pu94860
9207Pb93372
\n", "
" ], "text/plain": [ " Isotope Count\n", "0 56Fe 234812\n", "1 239Pu 213238\n", "2 235U 186202\n", "3 233U 132829\n", "4 238U 126862\n", "5 237Np 121401\n", "6 91Zr 102523\n", "7 28Si 96671\n", "8 241Pu 94860\n", "9 207Pb 93372" ] }, "execution_count": 220, "metadata": {}, "output_type": "execute_result" } ], "source": [ "isotope_distribution[:10]" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2021-02-11T06:29:37.624747Z", "start_time": "2021-02-11T06:29:37.615756Z" } }, "outputs": [ { "data": { "text/html": [ "
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IsotopeCount
524132Cs1
521134Ce1
514135Ce1
518143Ce1
515146Pm1
527151Pm1
525161Gd1
520175Yb1
517203Hg1
526210Pb1
522224Ra1
519254Cf1
51641Ar1
52876Br1
52388Rb1
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" ], "text/plain": [ " Isotope Count\n", "524 132Cs 1\n", "521 134Ce 1\n", "514 135Ce 1\n", "518 143Ce 1\n", "515 146Pm 1\n", "527 151Pm 1\n", "525 161Gd 1\n", "520 175Yb 1\n", "517 203Hg 1\n", "526 210Pb 1\n", "522 224Ra 1\n", "519 254Cf 1\n", "516 41Ar 1\n", "528 76Br 1\n", "523 88Rb 1" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "isotope_distribution[-15:].sort_values(by=\"Isotope\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Why do we have so little measurments for many of these isotopes?** Many of these are radioactive and difficult to work with experimentally. A machine learning model might be able to extrapolate knowledge.\n", "\n", "## Nucleus Radius and Neutron-to-Nucleus Radius Ratio\n", "\n", "The cross sections is purely a gemoetrical concept. Quantum effects makes the reaction probabilities not be just a function of the size of the nucleus. However, there are some reactions in which the geometrical cross section is a good approximation. Because of this we created the nucleus radius and the neutron-to-nucleus radius ratio features. " ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2021-02-11T06:46:09.412253Z", "start_time": "2021-02-11T06:46:07.858086Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(20,8))\n", "ax1.hist(df.Nucleus_Radius.values, label=\"Nucleus Radius\", bins=20)\n", "ax2.hist(df.Neutron_Nucleus_Radius_Ratio.values, label=\"N-to-N Ratio\", bins=20)\n", "ax1.set_ylabel(\"Count\")\n", "ax1.set_xlabel(\"femtometer\")\n", "ax2.set_xlabel(\"femtometer\")\n", "ax1.legend()\n", "ax2.legend()\n", "plt.savefig(os.path.join(figure_dir, \"nucleus_radius_ratio.png\"), bbox_inches='tight', dpi=300)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Element Flag (Natural and Isotopic Measurments)\n", "\n", "How many datapoints were measrued on pure isotopic samples and how many in natural targets?" ] }, { "cell_type": "code", "execution_count": 169, "metadata": { "ExecuteTime": { "end_time": "2021-02-04T23:04:38.609100Z", "start_time": "2021-02-04T23:04:38.305103Z" } }, "outputs": [ { "data": { "text/plain": [ "I 3184818\n", "N 1000272\n", "Name: Element_Flag, dtype: int64" ] }, "execution_count": 169, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.Element_Flag.value_counts()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## EXFOR Status\n", "\n", "The EXFOR status is a tag placed by the database managers to indicate if it is approved, outdated, renormalized, correlated, and so on. This is a human tag and will therefore note be included for training to avoid bias. " ] }, { "cell_type": "code", "execution_count": 113, "metadata": { "ExecuteTime": { "end_time": "2021-02-04T20:41:36.719106Z", "start_time": "2021-02-04T20:41:36.331108Z" } }, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " EXFOR_Status\n", "Other 2165207\n", "Approved_by_Author 1642322\n", "Correlated 231122\n", "Dependent 123446\n", "Preliminary 20306\n", "Outdated 2512\n", "Re_normalized 175" ] }, "execution_count": 113, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pd.DataFrame(df.EXFOR_Status.value_counts())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Original" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2021-02-07T05:22:23.711574Z", "start_time": "2021-02-07T05:22:23.704574Z" } }, "outputs": [ { "data": { "text/plain": [ "Index(['Projectile', 'Target_Metastable_State', 'MF', 'MT',\n", " 'Product_Metastable_State', 'EXFOR_Status', 'Center_of_Mass_Flag',\n", " 'Energy', 'dEnergy', 'Data', 'dData', 'Cos/LO', 'dCos/LO', 'ELV/HL',\n", " 'dELV/HL', 'I78', 'Short_Reference', 'EXFOR_Accession_Number',\n", " 'EXFOR_SubAccession_Number', 'EXFOR_Pointer', 'Z', 'A', 'N',\n", " 'Reaction_Notation', 'Title', 'Year', 'Author', 'Institute', 'Date',\n", " 'Reference', 'Dataset_Number', 'EXFOR_Entry', 'Reference_Code',\n", " 'Projectile_Z', 'Projectile_A', 'Projectile_N', 'Isotope', 'Element'],\n", " dtype='object')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_original.columns" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.8.8" } }, "nbformat": 4, "nbformat_minor": 4 }