{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "LRHTRZG42RbR" }, "source": [ "```{index} single: application; regression\n", "```\n", "```{index} scatterplot\n", "```\n", "\n", "# Ordinary Least Squares (OLS) Regression\n", "\n", "In Chapter 2 we introduced linear regression with least absolute deviations (LAD), see [this notebook](../02/lad-regression.ipynb). Here we consider the same problem setting, but slightly change the underlying optimization problem, in particular its objective function, obtaining the classical ordinary least squares (OLS) regression." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2022-09-27T00:28:51.053265Z", "start_time": "2022-09-27T00:28:50.895493Z" }, "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 28574, "status": "ok", "timestamp": 1686079823757, "user": { "displayName": "Marcos Domínguez Velad", "userId": "18131612151504710302" }, "user_tz": -120 }, "id": "v3whpsoAyrpi", "outputId": "7e8fd931-66ac-4402-e128-f2d38cb02ba8" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\u001b[2K \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m4.4/4.4 MB\u001b[0m \u001b[31m13.8 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n", "\u001b[?25hUsing default Community Edition License for Colab. Get yours at: https://ampl.com/ce\n", "Licensed to AMPL Community Edition License for the AMPL Model Colaboratory (https://colab.ampl.com).\n" ] } ], "source": [ "# install AMPL and solvers\n", "%pip install -q amplpy\n", "\n", "SOLVER_LO = \"cbc\"\n", "SOLVER_QO = \"ipopt\"\n", "\n", "from amplpy import AMPL, ampl_notebook\n", "\n", "ampl = ampl_notebook(\n", " modules=[\"coin\"], # modules to install\n", " license_uuid=\"default\", # license to use\n", ") # instantiate AMPL object and register magics" ] }, { "cell_type": "markdown", "metadata": { "id": "VKxb7hUB2pDa" }, "source": [ "## Generate data\n", "\n", "The Python [scikit learn](https://scikit-learn.org/stable/) library for machine learning provides a full-featured collection of tools for regression. The following cell uses `make_regression` from scikit learn to generate a synthetic data set for use in subsequent cells. The data consists of a numpy array `y` containing `n_samples` of one dependent variable $y$, and an array `X` containing `n_samples` observations of `n_features` independent explanatory variables." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2022-09-27T00:39:25.969543Z", "start_time": "2022-09-27T00:39:25.965023Z" }, "executionInfo": { "elapsed": 547, "status": "ok", "timestamp": 1686079824291, "user": { "displayName": "Marcos Domínguez Velad", "userId": "18131612151504710302" }, "user_tz": -120 }, "id": "u58KqWC5M_FR" }, "outputs": [], "source": [ "from sklearn.datasets import make_regression\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "n_features = 1\n", "n_samples = 500\n", "noise = 75\n", "\n", "# generate regression dataset\n", "np.random.seed(2022)\n", "X, y = make_regression(n_samples=n_samples, n_features=n_features, noise=noise)" ] }, { "cell_type": "markdown", "metadata": { "id": "ns2ayNEnyrpn" }, "source": [ "## Data Visualization\n", "\n", "Before going further, it is generally useful to prepare an initial visualization of the data. The following cell presents a scatter plot of $y$ versus $x$ for the special case of one explanatory variable, and a histogram of the difference between $y$ and the mean value $\\bar{y}$. This histogram will provide a reference against which to compare the residual error in $y$ after regression." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2022-09-27T00:39:27.323253Z", "start_time": "2022-09-27T00:39:26.817121Z" }, "colab": { "base_uri": "https://localhost:8080/", "height": 885 }, "executionInfo": { "elapsed": 1387, "status": "ok", "timestamp": 1686079825669, "user": { "displayName": "Marcos Domínguez Velad", "userId": "18131612151504710302" }, "user_tz": -120 }, "id": "jVMsyCHEyrpo", "outputId": "e6ab7736-37cf-432b-f5cd-b155a88ca372" }, "outputs": [ { "data": { "image/png": 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HjOHmWMv4VZoez5yfouH6t0QmCpbeiRptNxMNj6deHmOoZKEsERmKkoTRmsMT9w3SX1j78VSaHq+ONhitOwRRjKbIDBUt7hkqrOm89so9mCQJdSfACxMMVepE8fYCczs/a2HfiaOPfexjfPGLX+Qb3/gGBw4c6Px+YGAA3/ep1WoLokcTExMMDAx0nvPd7353wevNVbPNPWcxhmFgGLfemJqmbdkNuJWvdacixnDz7Mcx3GtdxvfjGO4lVhq/oW6Nx+5RbyZBOyG6InOsr7SjSdBZM0HTNLxIWjL52PNCNE0jY2i0/GRN9+Zkw+WZi9VbcpguzThMO9G6cpj2wj1Y3qP5u+sZl30jjpIk4Vd/9Vf5y7/8S772ta9x9OjRBY+/8Y1vRNM0vvKVr/D+978fgHPnznHt2jUeeeQRAB555BF+7/d+j8nJSfr6+oA0BFkoFLj33nt39oQEAsGm2E/VQoKtYbc62s9nLcnHPVmDH1yvMVpzVr03b0cDxduBfSOOPvrRj/L5z3+e//N//g/5fL6TI1QsFrEsi2KxyIc//GGefPJJuru7KRQK/Oqv/iqPPPIIDz/8MABPPPEE9957Lx/4wAf49Kc/zfj4OL/1W7/FRz/60SWjQwKBYG+yH6uFBFvDTne0X+r9Tw8XmGp5XJluL7j/JpsukiRRtX2m296a7s07pcfbfmPfmA589rOfpV6v89hjjzE4ONj55y/+4i86z/mDP/gDfuInfoL3v//9vP3tb2dgYID//b//d+dxRVH44he/iKIoPPLII/zCL/wCH/zgB/nkJz+5G6ckEAg2wE52Gd8PJn+CnWfON+h4OU/DDbhRs2m4Acd6c/RkdeIkWfO9eTsaKN4O7JvI0Vq+lEzT5DOf+Qyf+cxnln3O4cOH+eu//uutPDSBQLCD7NRKe69s2+21vCpBylJbfEmS8KWzY+u6N29HA8XbgX0jjgQCgQDWttJeqeHoWtgr23Z7RaDtVXZbOC7e4huvu+u+N29HA8XbASGOBALBvmK7V9p7JUF2rwi0vcpeFI4buTdXy2Hait5ngvUj4nQCgWBfsd1dxvdCh/GdzKvaj8wJx4uVJgVT40ApQ8HUuFhp8rVzFSYb7q4c10bvzeVymI6X8zx28s4WwbuFiBwJBIJ9xXavtHdi2241RAXT8uyVyN5SbObe3As2BYKbCHEkEAj2HdvZZXwvJMjuBYG2V9nrwnEz9+Zu2xQIbiLEkUAg2Jds10p7LyTI7gWBtlG2O0l6PwhHEQXa/whxJBAI9i3bsdLeCwmye0GgbYSdSJLeL8JRRIH2N3tv2SEQCAS7zG4nyM4JtKKlc2W6TdsLieKEthdyZbq9JyuYlkqSzhsqZ0dq/J8XR3l9vLklCeTbnZAvEICIHAkEAsGS7PbWyGZyV3ba/2epJOma7XN1xma65TPZrHN1us07T/VxeqiArioLjm09rBTZm2g4aKpCX0GnZgdiK0uwYYQ4EggEgmXY7a2RjQi01ba2tkM4LU6Srtmp1UA7CCmaGoe7M9TdkOcuTfPM+SnKeQNDkzvHdqo/s+5xWSwcvSBKzymG5y7PoCu1Xfc92gnmrmfb9Ts/CzaPEEcCgUCwh1mPQFvNOPL0cIHxurflOUHzk6STJOHqjE07COnLpeX0cZLgtzyq7YQZO0BTZB46XMIL4vTYGjbrbf09XziO1ByevzyDqsT030GGmfOFcBAE9ADffH2KM4e6b8vz3UlEzpFAIBDcBqxmHDlSc/jC925wYbKx5caJ85Ok217ETNunaN6MSPlBRMMJ8OOEoz0Z2n6IG8SdY2tsMOohSRKljMZkwyOMY47eQYaZi3O8hkoWAJenW7tqhHm7IMSRQCAQ3Aas5P+DBI4fMVp3KOfNLRcQ85Ok/SgijGI0WcIJIlqzCe1JAuWcjq4phHFMEKWl9pIkUc6lUY66s37X8b3gaL7TLCmEZ8/9UHfmthWEO4nYVhMIBILbgJX8f9peRNMLyGgKYbxwwtwK48T5SdJjdYe2FzLT9rG9kJYfIssymiIRhAkSMaosoyk31+aGJuMBXrj+yXw/+B5tNSsKQnbfCPN2QESOBAKB4DZg/tbWYoIoxg0iLE1Fk2/92jc1BT+KNyUg5pKkD5Qsplo+V6bbxMBwV4bjvVmCMOHSVIuxhkNP1iBr3BQzXhDPnsP6E8NXOm/YO75HW8laBOFmr+edzu1ztwgEAsEdzEr+P6os4fgROVNZIErm2CoBUc4blLI69x8o8oYDJfryBkNFk768QTmnM95wcbyIQ90mEqkQSpKESivNjyla6/cmuhN9j+5EQbjTiG01gWCfsdMeNoK9w0rXfiX/n0rLY7BodSINCQltLyKIYlRZotLyuGsLHLerbZ8Lk02GSxYHuiwqTZ8Z26fpheRMlcGiRQT4YUIUJzddxy0damzoPt4LjuY7zYoO6iRMNr0tcVC/k79rhDgSCPYRO9GeQbA3Wcu1X8448q5ynkfv6uWlkQYvjTZw/DQHyQ0iHD9isGjx6F29m5r4Jhsu3zw/xYvXa+R0DV2T6c7qnOzPk9EVNEXGCyJ+cL1G1fZxwqhjanmqP8PzYxsfm+1sRLwXWUoQGkoaNbs2Y1PMWpsWhHf6d40QRwLBPmE1D5vb1ctFsL5rv5px5KtjDUbrDhlNwdJUyjkDU1N4aaRBb87Y0D00d3zjdYesoVEwVSRJYrzh0nRCTg8XyBkqEnDfYIFHT/Ri6Wrn2MIw7LzWRqMVu+1ovtMsFoRzPkdHe3K3+Bytd0zFd40QRwLBvmCp9gxAWoqtZ7ky3ealkQbvzBu37WRwp7KRa7+UcWSSJIzXPQaLBvcfKBLGCZosd3KQNnIPJUlCte3zzdenGKs7nBrIEcYwVrfpz5sYOYPJlsfVGZuCqXYa5h7pzS75HpWmx2sT1Q27e++2o/lOM18Qtl2fF555hbed7EXXb47BeiNA4rsmRYgjgWAfsB4vlztpcrgT2KprP/c6/QVryW725ZzB+ckGwyWTvoK55jYl5yebvHitSs5QCeOE7oxGw9GYaLqULJ28oTJec1BlicHSyts9z5yfou5FO+ruvd+ZE4Q5/aYwnmMjESDxXZMixJFAsA+4E71cBClbde1Xep2a7XNlyubiVBPbj+nN6SsKj/mTrqnJ5CyVvKF1ttEO91hUbY3ptocfRbS8kAOlDG872btstAKg4foc6S3cEq04O1Ln1bEGgyXzjmoPshk2GgES3zUpos5PINgHiNLdO5etuvbLvc5ck9jrNZusoXGoe+W2Iosn3aKloysKiiTRlzNoByEzdsDp4TxvPtLN6aEiDxzq4p2nlhcwc87Y5dwS7t6z5zhWdyjnjDW5e89t943XXapt/450it6oc7j4rkm5vc9OILhNuBO9XAQpW3Xtl3qdTpNYP0CTYahoUbDUFYXH4kk3ayj0ZA1qjo8EFE1t1h07Jqsr+GHMib78ilswc87YhnbrlNT2IlpuhKWv7u4NaVTrq69V+OIPR/nS2VG++MNRvvra7vYa2w2xtlGjSPFdkyK21QSCfcCd6OUiSNmqa7/U64RxwnjNwY9iurIGh3usjjnjcvkliyddCYnDPRYNJ2Ci6VIwNfwgpu74VFrxmo5vzhnbC2LURbNSEMc4QYg5awewmPnbPHuxymq3SuLnR4CWyjFbLgIkvmtSRORIINgnzJXuHi/nacw282y4AcfLeR47KXIubme26tovfp1rM21aXsjBrixnhgupGeM8loouLLXtUrR0zhwoMFjMUHdDWn6AG0ZrPr45Z+xKa2l3bzuIyBvaiu7euiLd2ox1Hc11tyO6MyfWLlaaFEyNA6WVtyy3ks1EgMR3jYgcCQT7ijvNy0Vwk6269vNfZ7LhkdEn6S8Y5IxbJ8mlogvLuTMXLZ3TwyqqDMNdPbzz7jJdWX1Nxzf3nIKp3+ru3XQZKllYugIJMO/l5ib54+U8wIarrLYjurPbJfGbjQDd6d81QhwJBPuMO83LRXCTrbr2c69TymiM1BwuVppkdXVhG4p5wmN+dGG1SXegZPG2E71054x1H9ejJ3p5bcJe6O7dV+DREwYvjTRWnOT9KNlQldV2bcXthZL4zTqH38nfNUIcCQQCwQ6zV3pWbTS6sF3tOsp5g8Gu7JJj05szVny/attfd47NVkR3lruWe6Uk/k6PAG0UIY4EAoFgB9lrPas2KnTKeYMHDhYZLllAQjlvrHkbbSWWi1asNsnPbfddmGxQnk02n+8AvlQUbLPRnZWu5UYToreDOzkCtFGEOBIIBIIdYi9WU8FN4VFt+1SaPvPFzlJsp8BbKaq20iQvSRIDRYNvnHd57tIMqiqT1VV6cjqWpnCgO3NLFGwz0Z3VruU7TvYumZs1d45LiTXB3kGII4FAINgBdjtBdzUqTW9NgmczAm+17cTVequtxGTD5dmL08y00ko52/aJkoQrUzInBnL82OmBW15jo9GdtVzLl0eb3DeU31RJ/F7Yft0Lx7AbCHEkEAgEO8BeSNBdjrUKns0IvJWiTV1WGrlZqbfaaqLrWxem+P61GpYmcc9ggTgB149oegEtJ+TceJN7BheKkeUq7+Zec7nozlqv5YOHShvOzdoL26974Rh2CyGOBAKBYAfYKwm6sDAaoCsSZ2/U1yR4NirwVhNfP3KsBEDd8egtZPGjmCSBrKFwpGf1qFq17fPC1SqqDAMFC2afk9FVurM616s2L1yt8o6T5QVVdBtNSF/PtRworj8hei9sv+6FY9hNhDgSCASCHWCvJOgujgaEUcL1GZuT/flVBc9GBN5aok3fu1oFYLrlc6XqE0YxqiLTndU53J1ZNapWaXpMtzyGSjeF0byToDdnMFpzqDS9WywGNpKQvt5ruZ6E6L2w/boXjmG3EeJIIBAIdoCNbuFsJUtFA8YbDuMNF1mSyOgKpcytLtlzgmcjAm8t0abXx2ucBKp2QD5jopsafhQz3nBpOiH3DhaW7AM275VASj0ilyKZfcoCB8l5rLfcfTuv5V7Yft0Lx7DbiPYhAoFg37Cfu63PbeEUrdQFuu2FRHFC2wu5Mt3e9p5V86MBh3syJEDDDVBlib6cQd0NuDpj3zKm8wXPRlpSrBZtMlSZiXraRqNoapiagixLmJpCX86gHYRcqDTRZGnZqFo5r9OTNZhe4p5IkoTptk9P1qCcX34in4vuDBTNVS0JtvNabrRh7FayF45htxGRI4FAsC+4HZJDt8s8cS3MRQMMVeb5K1WmWqmQyGgKTS/ED2OmWz5tLyJnplPD4ijIRnJ0Vos2zbR9gigVNA0voFfXOltjkiRRNFSuzticHiotG4npyuo8dKiLv39tIj0OS0dXZPwobYAbRTEPHera0ijHdl3LvbD9uheOYbcR4kggEOx5bqfk0N1yLPbCmGszNhcmW9SdAH12AnQ0hTiBtuvjBBF39+ew9OUFz3pFwWpbUGMNpyPGMrrGRNOlZOloqkwQxlQdH02ROdaXWXaMJEniR+7q4UbV5vxkCy90MZR04pZliQcOdfHoid4tH+PtuJZ7Yft1LxzDbiPEkUAg2BMs56dyOyaH7oZjccP2OXujTsMNGS6ZaIpMGCW0vABDVdA1FaQEN4i4UbNXFDzrEQWrRZu6swYZVYIm3DeU52rVZ7rtEXoBqizTkzU7k/VyTDZcXh5toioSGV2maocAHO7O8sDBEmcOFLdNPG/1tdxsw9jb5Rh2GyGOBALBrrPSlpmmyHd8cuhmSZKEV8ea+FFM3lDQFBlJktBUiZKiU7U9okTirt4s77q3n4yhLSt4FovY/sLqonSlaNN9Q3leul6l1YS8qXLmgEnbiwiiGFWWqLQ87lohSjE/qjhcynCsN8dM22es4dA9O4nvl6jiHLu5/bqXjmE3EeJIIBDsKqttmd07VNgz/kD7lZodcKNm0583cIKYuhOQNVQUWSKKE6JEAhJylkbG0BgoLj3xrSRiy6tEkuZHm9wgwg0iTE1BVxVODeb53kW4NmNTLmSxNAWJtB9aaYUoxXJRxb6CSTlvdJyq+wq3Cuu9zl5oGLsXjmG3EOJIIBDsGmvZMrtUaaHJ0h2dHLpZvDAmJqErY9AlJdSdkJYbECUJiiTRk9VJSChY2rLjuJKIvVRp0ZPTaXnhisnykiQRRDGvjjUXCKyh2Sqyoz05Rpv+mqMUt3vJ+V5oGLsXjmE3EOJIIBDsGmuZ3Op2QMkymGg6d2xy6GYxVJmiqdE0Q6pOwOFuCy8yieIERZYgjhmpuxzsspYcx5VEbCnU+frrk2QMjX90vBtLU5dNlp8TWDXHJ2eoZBWVOEm4NN2iDzg1mOeho8aaoxR7yXVccHshlloCgWDXWJOfShxzrC+zIU+Z/eyLtJWUMhoHurKYmkJGU6i0fSQgoylIScKVGYfBosVbj3YvOY7LidgkSbhWtVEUmTTgJKHIUhr568lSd3xeGmmQJElHYI3UHJpOyMujDX5wvcrLow2aTppA/dpYk1JGW5PXECwsOV8KEVUUbBQRORIIBLvGWv1UhktpC4n1JIfeDr5IW8X86iNIvY5absR04GEHEYd6Mvw/Dw2jqwrjdfeWasHJhsdUyyOjqx2B2fYiarbPWM2hO6NhB2kS9fz3nL+tBfDaeIPJhksYx7Pl+hpBGKfRPx1en2zy0NHeNW/jLFVyniQJbS/CjyLG6i6nh4objirudEf6nXi/nT6n/YoQRwKBYNdYj5+KJElrTg7dT75Iq01WWzWZza8+ulFtU3cDZEwOdmU53pdhouHz/Wu1BUJyoGgwXvc4P9nk9fEmo1WHvJUKDS+MaTgBIzWH3qxOztTQlIURmvnbWkmScG3GJogiBuc1hzU0BUsxwIcbVWfZKNBSLC45N1SFyYbHRMOh6gTkDZVD3RkqTW/d13unxfVOvJ9YMKwdIY4EAsGusV4/lbUkh+4nX6TVJqutnsxuVh+VOmLLDyO+/vrULULyH27U+JuzNoMli2PlLMfLec5PNrg83QYkTvbnKOcNploeI3WHgYQFkSNYuK1Vs31aXkh35qYDdofZn1teuC5xNHdOj91d5pnzU3zzfIWmF1LK6JzqL9Bf1JlqeXztXGVdgninxfV2vt+cuB6p2Tx/uUoQRfQXrD29YNgLCHEkEAh2jSRJ0BSZe4cKXKq0qNvBpv1U9ksF02oT4unhQkfkbeWEOV9gJknCV1+r3SIkM4ZCHCfM2AEDRYusrnKk1+LVsQZeGGNpCnU7xCoqKLKEqSpkNJlrMzYla9523LzInxtE5AwF24/Im8kt0TGAnKEsm3+2EuW8QTGjcbQ3y0DRRFcVMrqM7cUYasRY3eHsjTo/es/qgninxfV2vl9HXFdtXh5rULV9Tvbl6c7GZA11Ty4Y9gpCHAkEgl1hcVREkyVKlsGxvkyneel2Ne7c7Qqm1SbEy1Mt/vblcbKGytFtnKCXE5JtL2LG9hkumczYab81VVYoZlQUxaLlhYw1HCxd5u7+fCfiM15zONKTRZWlWyJ/pqZwqDvD9RmHyZZH0dQ6/c9ars9dGhzosjYkjmp2wGjN4XBPlqyhUrN9zo60mGn7hFFMHCdUmh4HuzOcHMhvaExge8T1dr3ffPGdNVQkCfrzBuNNl6Ybcnq4QCmj76kFw15CiCOBQLDjLBc1mWg6uGG05ESxVvZD08zVJsScofHDkQb/6HjPtk7QywnJIIoJ45i8pVO1fYI4FZKaInNX2cQNYypNjzPDRYa6LBpOwOWKzcVKk2szbXpzxi2Rv1JG49RAEcePcIKY6baXNr7VVfpyBnhwsq+woeTp+edRs9MKuXYQpgLM1HDDiGszNl9/vUIpo60Ycdtpcb0d77dYfNecgDhJyJk6eWCy5XF1xqY4G+XbCwuGvYaobxQIBDvK4i/uOafmpcq/N8Jckvdk073lNea2euYiU7vFahOiLEt4YYS8jEA0NQU/ijc9mS1XCq8pMqosY/shqiKjyek/qiLjR6lxZMHSKGZ0JCSKls5d/VkeONTFe04P8uhdvdwzmEdT5M41kCSJgaJBy4u4PtPGC2ISQJUlJNLn3DO0sX5dc+fh+CFXZ2zaQUhfzsDUFGRZQpEk+vIGjh+uem/ttD3AdrzfYvE9dz2DMEaSJIqmxkw7jQhuxzndDuyrkfjGN77BT/7kTzI0NIQkSfzVX/3VgseTJOG3f/u3GRwcxLIsHn/8cc6fP7/gOTMzM/z8z/88hUKBUqnEhz/8YVqt1g6ehUBwZ7OebYSNMJfkvZovErBrHkirTYhxnGCoClEc0/JCqrPJzMmsiNiqyWw5IZk1FLozOiM1l+6MTtZQ0t9ldeqOT9X26MkaZI1U3CVJum3VlzcYqTo8c2GKv35pjC/+cJSvvlZhsuF2tlELlsbhnhzFjIYsSUw2PVpeKvLKeWNT53F1xma65VM0Vbwwpu2FOEFIzfHpzZkc6smsem/ttLjejvdbLL6zhkJP1qDm+JAk6IpMGMUEcbzgPYqWKnzBZtlX22rtdps3vOEN/NIv/RI//dM/fcvjn/70p/mjP/oj/vzP/5yjR4/yb/7Nv+Hd7343r7zyCqaZhlF//ud/nrGxMZ5++mmCIOAXf/EX+ZVf+RU+//nP7/TpCAR3JDuxbbFa00yAr75W2ZIqsLQayAegZvv0FtRVox+rWRi0vICBvMk/3KijyhJRksx2qDc41G1StYMtcQVfqVpQliW6MxqSBLaf9kEr5wwuV1okSJTzGnEMbhAy2XSRJYnpls9Uy7slgbzSdNFVmbrjc3qoABILmstONW2oseHJeO48LlZa3KhWMVS5c5/5YUxXRufeQRVLU5lu+yveWzvdkX473m/x1rKExOGedPtzouliaQqKlEaS5hYMA0WDr52bEmX+s+wrcfSe97yH97znPUs+liQJf/iHf8hv/dZv8VM/9VMA/Lf/9t/o7+/nr/7qr/jZn/1ZXn31Vb785S/z/PPP86Y3vQmAP/7jP+bHf/zH+Y//8T8yNDS0Y+ciENyp7FRO0HJNMytNb8vKpjtJ5TNNCsCXXxpnuDvtNK+ryrLeRKtNiLIskzMVxhsOiiLTk9WRgKvTLS5WWjx0qLRlE/RyQvINB0q8+75+xuvegt//6Kl+JCktu79Rs9EVmWPlHHU7YLrtLZlg/spYg0rT401HujqP5WavfZIkOG7639embY4PbNzH6cxwga+8OkHV8clqKvps2xRNlbk67aAq0prurZ3uSL/V77eU+C5aOmcOFLgyZXN+MnUiD+OY4+U8A0VjWyoj9zP7ShytxOXLlxkfH+fxxx/v/K5YLPLWt76VZ599lp/92Z/l2WefpVQqdYQRwOOPP44syzz33HP8k3/yT255Xc/z8Dyv83Oj0QAgCAKCYGNh/znm/n6zr3MnI8Zw8+z0GGY1GMrrXJ5uYXVnkJgXNSGh0rA52pMjq23NMeV0iZyeRqmCIODstRkatsPh7kz6zklERoXDXQbXZmzOXpvhbSd7V52gK02PZ85P0XB9yrMRnIIu88Pr03zr9Ql68xqGqqApMkNFi3uGCgu2jboshUePd/HqaIPRusN0FKMpMke7TJpeCHHIO+7q4XrNpmoHRFFMwUi32rpMhZIpb9k1S4+lRN3J4oUJhip1knXv6rVu+T1A3Qk6v0sS+NuXx+nLahBHLI7/lAyZ82MOUVggUW+Oa90JuFa1qbc8HlLh6VdGuTpt3zJWayFJElq2x9FuAzfU6cpoqLKEOSuEJpour4wE/ONT5TXdWyuNyXZ8Vjb7fos/x6f6M0w1bK5ONSjnTAxNRiWhYEo8fKTEQ4e7GCyaFEyVZ85Pb8lnYq+znut224ij8fFxAPr7+xf8vr+/v/PY+Pg4fX19Cx5XVZXu7u7OcxbzqU99ik984hO3/P6pp54ik8lsxaHz9NNPb8nr3MmIMdw8Oz2GZcCpLf37Vg3+5uLef29j9m+Ye63RH3J07sHmzee1puD5FV6zMO+/21NpMmh59ufjkP5iLtihAKPX+JvRF9d2kDvE3DnYSzxWAt5VAEbHFjyuMXt+szPRUOs8rdbKY7UaD+vAXAFfDKQ7nhyf1Vrti1e39d7abeZ/juffn3NL/LkZ8PIMXJ73d7v5edwpbHupu3NpbhtxtF18/OMf58knn+z83Gg0OHjwIE888QSFQmGFv1ydIAh4+umnede73oWmiY7iG0GM4ebZrTGsNL1O1CSYjZosFWHZSiYaHk+9PMZQyUJZYhUcJQmjNYcn7hukv7D8MdRsny+/NE7B1MjoCkkc4Vz5AZeN44w3fQqGhhPFvPFgF1lDISFtnXG0J7fqCnyjx7gb4znH4vFYTNsL+f71GuWczt2zPkMvjTaYbHqUMxozbZe36COYRx5AkpU1j9V85o9byw25Vr0ZcVMUmS5TQ1Hh/Q8dWvHa7leW+xwnSbIgyjcXjZpjqz4T+4G5nZ+1cNuIo4GBAQAmJiYYHBzs/H5iYoIHHnig85zJyckFfxeGITMzM52/X4xhGBjGrTeEpmlbNpFs5WvdqYgx3Dw7PYZD3RqDXdkdbYKZNRM0TcOLpCXznTwvRNM0sqa+4lhERPiJhGnoSPLN4512IvKWmZa8+x4BEpKiIgHlQpbRpk87gK7s8q+9kWOcbLg8c7F6S87IpRmHaSdakDOyFb3aFr9GT95iuDuf5riY+i0J5hXb5YFDPQRxzNWqR1ZXmWpF6KrKeDskr6ffsbKsIinqmsdquXEr5SyKWTNN+o5jNFkGEppeuOq13Q8sdQ3nWOpzXNaX98Laqs/EfmA9x3/biKOjR48yMDDAV77ylY4YajQaPPfcc3zkIx8B4JFHHqFWq/HCCy/wxje+EYC///u/J45j3vrWt+7WoQsEdyxr6ZW2layn0e1KLJdUHsUxmirjh3HHH2iOtVbhFS2VoqlzvtLgWG+OnHGz+m2pY1xP+4lK09t0r7bl+r0NFI0VK64ePdELwEsjDV4dq1Npu/TmDAaLGQ536TB68z02UrG41LXNmTeTvq9Mt7ekwm+3WW78T/VvLM1jqz4Ttxv7Shy1Wi0uXLjQ+fny5cu8+OKLdHd3c+jQIX7t136Nf/fv/h0nTpzolPIPDQ3xvve9D4B77rmHH/uxH+OXf/mX+ZM/+ROCIOBjH/sYP/uzPysq1QSCO4CtKptePKHMocgyfhBR90IGCmbHBwjWVoU3N/HdqNlcnrJ5faLF4e4Mx8s5oiRhvO7RndW4byjfOca1+kadn2jx4vXapiqS1tIPbnF12+KKq3fmDY72ZkCS6Mpo6ZZfFC3IRdpIxeJOl+DvBiuOf8NmI5ted8K4bYR9JY6+973v8c53vrPz81wu0Ic+9CH+7M/+jN/4jd+g3W7zK7/yK9RqNR599FG+/OUvdzyOAP7H//gffOxjH+Mf/+N/jCzLvP/97+eP/uiPdvxcBALB7rAVZdO3TCizWz9ZTeH8lM2BLiut/Fkh4jPHza7pDs9fniGIY4ZLFr05nQuTbV6faPKD6zWKlkZvTsfUJF4ebabCp2CuyTeq0nI5O1LfVHPTtUSoxusej93dS90JV7QxONKb5Z6BAhcrTco545b32Wi0YqdL8HeS1cb/6lSDMhvzirqdx22j7Ctx9Nhjj6144SVJ4pOf/CSf/OQnl31Od3e3MHwUCO5wlvNAWs/qeMGEMutzVMxoHOqWyJsqmiITxcmKK/BOpKja5pWxBjU74ERfnp5sTHfW4GS/RN3xuVGLGCqaPHKsBz9KFkR71uIbFcUJUy2PgcLGm5uuNUJVd8JVt0qXE5e2HzHZ3ly0Yiuu7V5ktfEv50yopfYIK+UYLcftOm4bZV+JI4FAINgqNpPvNBftiRN44GCR04NZnv36S/w/bzxAjMzLo81VV+ALuqbrKjIyfXmD8YbT6Zp+bcYhThLu6S/ghDFemJAzF0Z7Hru7d9Wckd6sSc3xN+VKvtXO5kuJy4YbbEm0Yqdz2XaC1cbf0GQ8wAs33vLjdhy3jSLEkUAg2DfMr9LRlVQE+FGyo6vcpRJih/LphFLKpBU9fQVzxRX4Ul3ToySmZBgUTI2Jpsu5iSZtL6Rk6WiKTNMLCeJUeCyO1KyWM3LmQJHnLk9vypV8O5zN56IVU40s3/7aSzxyrIesZXQa1t6pUYulWG38vSCefZ4Ys61AiCOBQLAvmKg7PHd5hutVh6YT0PJCAHrzOj1ZY0f6QC2XEHt5ukWZ1GtoqFtbdQV+S9f0Tsf7NDJQsnSmWj5JElPK6KtWvw0UV84ZKecNblSdTVUkbVdVkyRJBFEa7Xj20jR+Iu2rvl5bYY2wFlYb/0rLpQwdB3PB5hDiSCAQ7HleGa3zhe/dYKzuAFBt+0gSFC0dWZLozhib6gO1lglupYRYqzuDU4NXRxsMdmVXnRyX6prendUZb7gYqoymzkZOkNZc/bZazshmK5K2q6ppsuHyzPkpDKBgapiGvm/6ei1XVr8dom7V8bd0qCGibVuEEEcCgWBPM1F3+ML3bnBtxuZIj8V4Pe0HocgSQRhTbftUWh5nhgpcnbFXrbpazFonuBUTYmf7w43WnRWTmue4pWu6JHG4O0PTCZlseViqjKWlfdkuT6+9+m2liFVfweQdJ3s70bc4TihZ2rpyfDZa1bSc+JwTnA3XpwxkdAVJltZVRbdbrGZrsB2ibqXxP9Wf4fmxLX27OxohjgQCwZ4lSRKeu1RltO5wtCf1xmn5AUVLR1Uk6m6AGsVMt3xsP15T1dV81jPBrZYQCxBE8ZoSkpfaIinNRl6uTtu8PtmkK6MzUDRQ5LVXv612ri+PNqnZPnESI892ar9vKL+uSXy9VU0riU9NkRmp2Z1Kq/mstYpuN1iP8eZWi7rlxj8Mwy19nzsdIY4EAsGepWYHXK+2yWgKuqrgBBFRkqAqEpIkkdFU3CDE9hWCOKZgamuumFrrBPdYTqfuhNTtgDBKcIKQnLF0Xoe2joTkA10WFystXhlrcKjbIk4k2n6IKsPDR7t589FuhksZ/DBaU/XbSiwWgf0FCzeImGg6fP31aN1RjrVWNa0mPu8dyuNHMYamdhqjzmcjTtk7wVptDbZL1Imqsu1HiCOBQLBn8cKYmARLU/GjGEWWUCSJMErQVAlNlmiGMRKgyfIteTgr5RKtZYJ7bbxOywtmG3dGXJ+xuVhp85YjJUqZm+aFCWlC8VDRWjUheX4kxfZDrs3Y/OBaFQkwdYWerMHB7ix9ebMzAa5W/bYSuxXlWMv7Xpq00WW5U2m1mI1UwG3Fca821lttayDYewhxJBAI9iyGKlM0NZpmSNUJ6Mvp5E2NatujpOj4Uer905szyOgyV2fsTh7OarlEq01wXhDzylgTN0g4Xs5iqAZhlPD8lRmeenmCR0/0diIwlYZNGbhnaOVtrsWRFEOVGa05eEFM3lQ5PVRkqGgy1fb42rlKJ6KzmUjBbkU51vK+NcejlNGZrLcpL/r73ejrtdb8s+2wNRDsLcSVEwgEe5ZSRuNAVxZTU8hoCpMtn6KloisKlabLWMOlO6NzoMvi6ozdycOpNFNxcbHSpGBqHChlKJgaFytNvnauwuRsVdjcBLeYJEm4UGkSRjFHezMEUczLYw2uVx0yuspU2+fvz03y6liDhhtwtCcHkPYJW4bFkZSMoXBuvMlIzUFVJCabLs9fmeHiVJuSpVN3fF4aaazYFSBJEqptn/G6S7XtL/nctUQ5/DXmSq2HtbxvECccK+comKkos/3UzbvthVyZbu9oX6854brSPTPHXM7YZNO9ZcznRN1wKXPHNWvdCtZyT+8EInIkEAj2LPPLl8HGUGVaboSpydRdyBsKx/oyyLLE8e6bnj5ffa2yei7RCs7SLS/k6ozN4e4sYZzw8kiDdhBSNDWKpkbJUhmpuUjAW4/2cKTb4G8urnwuiyMpIzWHl0cbJMyWsKsKbT/kWtWm5UYcK2dXjOjs9SjHWt93uGTRbSk8P546ZE854Y739Vrv1qNo1ro97KQ1wmoIcSQQCPY088uXr8+0mGh6FCyFt50o89ChEqWssSA3pNr219wDbLkJ7tJUC02ROV7OcG3Gph2E9OVu5uTkLZ3eKCZK4EbV4Uj36v3Q50dSEhKuTLVpugHlQvq3qiohhxJdlk47CJlseJSy6pIRnfVU2ZUyGkNFi5dG6wwWTXRFIWsonVL69WxdrcfwcD2mkTk9fezHTg8Qoex4X6/5whUpFcdBFKMpMllDWXLr8U5o1rpTBpewO9YIKyHEkUAg2PP0FUzuSxJaXkDLj4njhChOGK17dOeMBZGV9STLLucsfaJcwNJUohhm2j5Fc+GkEIQxmqIwUDRmhVZ21XOYH0mpOQGvjzdxgoixmouqpK7QpqagKjJFRWai4ZC3crdEdNYb5ag0PRpuwJWpNmdH6nRZGv0Fi76CgRdGa45yrHdVvzi6Us4ZRAm03ICaEzBQNG9537n2KzvN3D3jhREXK22m2x5hHKPKMj1ZgwNd5pJbj7vdrHW+eFG4dXt4M+xkFGc3rRGWQ4gjgUCw55lsuHz99Snqjs+BkrXiqnJN2zmyjOOHjNfT3KPH7u6l7oSdCa5oqXzt3BQ/uD5DEMYUzXkTdpJQc3wGixm6szojNWdNzT7nIin/cKPGSNWm5QUUTA03iFBnI15FSyeOYyxVoeoE9GbNWyI660mwDqK4sxp/6HCJibrPeNPltYkGIzWVt50o8+iJ3lUnu42u6ueiK8+cn+J7V6tMtz1IoCdncKg7s+qY7RSGmlbMXZioEcZx2s9O1QjCmLG6TaXpcrA7s+TW426V1d8iXqSEAjdb2Gz2tXcyirPb1ghLIcSRQCDYUywO5RctdV2rytW2cy5NtYGEb56vEMTJghXxQPHmF35qyNjm9YkWpiaTM9PJsub4ZA2Nwz0WXhDP5uusvpqVJIn7hvJ883yFyaZLxlBRZQk/Sqi7YfqzIjFaczE1mbyhcuZAcdUy8iRJaHsRQRyjyTKmlvZoc4OIV8eaC8ZtoGhxl5fDDyPG6y7FjLZiEvnc6691/IFboigAQRzTlzc40Z8jZ2goMp2k+cfuLtNlLW+suRMULRUvjJhsepzqzyHN9rAzNIU+xeC1iRZ9BYOitTemzCXFi5c6xz9zforH7lE3LF52I4qzF60R9saVFggEApYO5RdNnRs1m+GStfyqsmpzZaqNpasYqsx9Q/llconajFZtBksWRUtfcUXcVzD58TMD1Byfc+NN3DBCUxQGixkO91gUTI0r022Ol/NrbvapqwrlvI4qF3h9sknNDsibKllDQZElSGC67XGgK8PbT5Y50Z+79TWU1OdpvOEAElMtj5m2TxilzWkzWro9d33G5vxkg/5lVuO9eYPR6urtTta6qj8/0eJG1Vlw7YaKFg03oOEE3DO4cAstq6udifbR46U1jd9WMl+EO36Irkj05Q0mZ7dR9dlGwHU3oD+f5rXVnXDXzReXEy8ZXcEGGq6/KfGyG1GcvWiNIMSRQCDYEywXyj9faXB5yqY3py/5xemFES/PltSburIgEjRe927mEskykDBYsjgzXFzTiri/aPFzbznEX58dp2oHDBQNurM6XhBvqNTcC2MMTeGNh3Mc6LJ4aaSBF0eUMzqJlDpkj9cd7hsq8CN39d4S9To/0eKHN2pcmGgyVncIogRNlTnck6Ena1CzPb57pY6lKdhBxGjN4XhvnsO9GWw/4upUm4YbIMugyDJJAg8eLq04ya1lVX95usXXX68AyYJr99JonStTbR46XFolOX71nK2NsFxC8WIR7gYx16sOd/XmqXsBM22fphugKjIDBZODpQxNP9gTpo4riReAcm5z4mU3ojjrSd7fKYQ4EggE62arq1iWWg0nSUKSQHdG52WvwfmJFm85pneavALUHZ8fXKtRtX3uHy7SkzMWRILecbKXBw+VOtGBb56vULT0da2I+4sW771/sDOZjtScW6qSgiBY03nOrZC9MGa4K0PWULk6Y89GfiLiOOFgV5Z3nOxbsC0y2XD51oUpvvF6haYXYigyDTfECSJyusLlSpuurM943UNTpDSSlUhkdY0LlQYvjlSx3bT1Sk5XKGUMLF2i6QU8f7lKX97svN/ia6vPJosvt6p3/JCppo+clxZEh7KGymDR5OxInYm6z0DRWnDtYP5Eu/VeNsslFA8Ujc69NifkptseZ28EXJxq8dChLo735jrblFlDwfYjvGhvmDquJl4MTcafzZ/bCLsRxdmL1ghCHAkEgnWxHVUsi1fDNdvviIYgjPDCiBeuVhnusjjQlSbypuXwNpNNj3sHU38jSZLI6Aq9OYNLUy2eu6Tw3vv7abgw2Qypu0Farr0EcxO1G0RU2/4C4be4KklX0i9pP0oN67JrXNAuXiGXMjpFS6PtRfhRxFjd5fRQccF22mTD5avnJnnhao04SThZztH0Qy5WWnhBnCYNNzyk6bTa6/7hAgVTp+2HGKrM5SmP6VaArkoc780SJhJVx2OimXD/cJEgijoRs0rT4+xInQuTLWw/IqMr3FXOktVVJpvukqv6qzM2AId6MrdMXrqi0GVpjDdd7vJy5BZNtjcn2q2d9JaLQl6YbPDN8x4FS+P0PDfzct7gRF+eV8YaXJuxuf9AEUlSO+e4G5GL5VhNvNzMg9uYeNmtKM5es0YQ4kgg2GfspPfIYtZTxbKe45y/Gq7Zac7EfNNFWZb4hxt1vnl+isfu7qUvbzHd9jg/2aQ/b3B4dmKeL6psL+TVsSYvj9YoZnSiOOHcRIumE3KyP08ps3DLwQ0ivCDi+Ssz1J1gSeHXldWZbLi8eL2+MLcmv7bti+VWyJIEdSdIt/zmJWHPRdQm6i6qDMW8iazI+GFMGMdIEuRMjX5NYqTuokgSo3UPU1MJ4xhZkoniVEgmSPgxKDJICen/SSzIGfrm+QrnJlrESYIkJSSJxMVKm6GiSc5QFxyzE4Rcm7aJ4oScoS4ZycgaCv0Fi9cmGvhhBPMm8/kT7Uo5W+u931dKKC7nTV64VkNTZOYHsSQkjvRmmGp5vD7ZZLBodqKQe83UcSXxAlBpuRzrK21YvOxmFGe3rRHmI8SRQLCP2E0H2fVUsVSa3rqOc2417PipM/UtpouGxqn+PEmScG68hR8muGFM0VI50ZcnAUaqNpcqbewwSgUVcGXGxg0iDnZleOBgiaY7G3EJY84MFzsCKUkSLlZaNN0QVZHpX0b4AUuKw8vTLcqsrYx6PSvkuYhaMaMxUnfQVBmShGo7IE4kcoZKEMU0Y7CDGMMPsf2IthswWEyPb6hk0vIC/DCh7nhkdY1SRsfUFaptn4Yb4oUhz1yY4vvXaliaRFfGQFNlgjCmanucn2zx5iNdHOzKMlp3uDLdptL0Zq+/wkjNJU7g7oEcReumUJQkib6CwUhNnbVNUNY10W7kfl8pJyeMEzKaQtMLaHvRgkhW0dJ58FCJ789u0zphtGrkYjcWKsuKFz/1OSpYmxcvuxnF2S1rhMUIcSQQ7BN220F2PVVLL16vres451bDZ0dqTLcWmS7O+god7M5ytNdisunx6F29NN2A0arNK2N1JElioukSxgknyqlx4vWZNiRwsj9H0wm5MNlmoGhQd3xuVNNWJA8d6sILYyYaDk0vpGBpHF1G+J29UQeJJcWh1Z3BqcEro3VMXcOPkhUny7WukOciaiVLR5VTsZIAbhhRsDRark/bi9BUGU2WMHUViYSJpkeSgKbKKLJEEKU5PZam0pXRCeKYStOl4YQEYYypybhRgirDQMGC2eMwNIWBgsX1qs2FyRY/+YZBDrYyfP31CuU8HO7OpI7fSXV2my/i/oPFjkBKkgQvjHjbiTLFjMZozVlyol0qZ2uj9/tKOTmaLGNpKk6QOmAvxlAV7hss8OiJ3k7l43LXcDcXKkuKl1mfo0fvWt23aq3vsVeiOLuBEEcCwT5gLzjIukFEzQ7QFJmENGIwP8HW1BQqLZezI/V1H+fcavhipcVks87h7gxxktziK5TRNVQlIIgTLk61CWLwo5junE5Qi4liuDZj018wmGx5lPMmSSLRcEOuzNgMtyxkSUKVZS5PtclbKiVLZ6CQIYxZ0S7gQqUJSAwUlhCHs+PwjfNTXJx2UBV5TQ7Sq62Q5yJqigw9WYOxuk1WV4mThO6MynTTwwsjTFUmb2j4YYRMgi6nlW+hC4e6TSxdIU4SHD/iXLNJzlLJ6ioFUyVKEppexGjN5r6hIm4YE8UJiixhqjJIEr05g9GaQ6XhMVr3gIR75yVfn+zP44UxN6oOhqbw0OESXhB3okOPnuilvI6JdjP3+0o5OVlDIWcqzMx4qPLCv5u/zXek99btqvns9kIFbhUvChHf/tpLq/pWrYe9EsXZDYQ4Egj2AbvtIDvZcHn+cpVzE00uTbXI6Co9WYPDPVYnSuAGaUf1qZa3tIBY5Tj7CibvOFnm6nSbuhui+CGqLHd8hYqWTtsL0WSJS5UWDSfgLUdKvDTSpNJ0iWMoWSo1J+TCZAtFkihlVK5N2zhBiCJLFCwNQ5GRpISWG3FmuMQbDpRwg4jKS+6K5cu2HwFSpzda24s6/bfCIECbHafjfQX6CyYzbZ8fXJ/h6nSbHz8zQH/RWve4z88vOdRt0nACZmyPJE4IJYAES1fQVJmMrmIHIXEsoSgSWUPF8UMqTZ/erE4CTLd92kGEpkoEYYShKRzNG/TkDS5UWrw23qRgacRJKo7ypkY5Z6SBJAmabrTkfVjK6JwZLmKoMqN1h/yESimj3bINs9Z7cz33eymj3WIaulJOjqkpDBYtKi0PWZLWnU8TxzHfuTTNjarD0d4MmdlFwm60upgvXtZaMSlYG0IcCQT7gN10kJ1bJddsj6FiOulbqsxY3abhBJw5UKBgakw2XXqzJjXH3/BxnujP8c5Tfbw8UmegaKKrSidCNbey789b1O10xZ41VM4ckHhtTGai4aWiSgZVVlKhZIe4URpBmNv6MDSFLkun5Tk07HB2cmXV8uWMrgASk02HSjO42X9Lkmm7Hu/MQjlvAhIvjzVmK+1iXp9oUXN8fu4th9YtkOYiapWWy2jNpTevo8gw1fS4PuMgSRJ3l/MMlCwMVcYNQi5Otai2A3RZIlRlipZOKaNjqDJTLY8gjLg6E5AzVA51Z1AVGYk0P3ui4VK0VAqGRhAnVG0f2w3RVJly3iBvKsveh6WMzkOHushXmrzjZJmDXZl1b8MkSVr9d72aCp+loiBJkhDOivBXxxo4s35Oi8v1l0soPtCd4fTQIg+sNebTTDZcvnNxhqdenUBTJKbb3oJFwm61uhBsPUIcCQT7gN1ykJ2/vXG0N0d3Nkh/9tJKsqrjc268RW8+nYDPHCjy3OXpDR+nJEmcGS4y3fJntywU4hjcIOys7I/1ZXju8s0oT9HSecvREkgJY3WXcl6n5YZossyr4016shq2H9KVNTA1mSRJqHshh7sz1ByvE31YrXz5rnKeuuPzldcq85KWtTT3qWZDFuIk5tJUCzuIOpV2piZzbrzJX58d5733D25ou0WTZSabXqc3WXfOoGCqNP2I4W4TbfbesIOYQ10ZuqyIroxGGCfpeLYDzk80sP000pXRVE4fKNKXN6jbaVParKHihCFtP8LQ0lYmGRQmGi6GJvPEvf30FcyVy8jDND/qYFdmQ8Lgm69PMdr0U1fyiTRBfn6S91w14njNYarlcX6iRc7UODOc50Aps2Br6xYT0EUC6J7B9SVTzy0SrlfbaLJEf94kipMFi4Q51/WdbnUh2HqEOBII9gG75T2yeHujNLvtMFcuH8cwWnc4PVzg4WM9lPMGN6rOkscZJzFXp9sMd2VmDR6TZZOVV6qU0RQZXaktmKAlSebUQJ4gTJhppc/vK5i8Ot5kounRldHpzem4QdoOIqup3FXOd1yP11q+/K0L00gkSFKad0UCUZwQz3oYzrR8chlpwXZQztRww4iqHSzYbllLpdP83JY3He5a0NXeUmUuT9u8PNrsPL9gpltKsZ7gBBGHe3IMdVkMlUxqbZ+CZVMyNRRFpjx7jkkGLky1yZkKsmwhy9B2gzQpO0m37bozOmcOpE7a23EfzlW+vTxWp5gxGSxYNOxgQZJ3kpBaPPgBXhil+WeqRBxHXJy0yegqRUvvbG2N171bGgrPH+P15NPMXyQc680x0w4I4wRTU+hXTSaaLlenHc4c0Hal1YVg6xHiSCDYB+yW98hS23nzjQvdMKLScnnzke5ORGSp45xsOpwdaRKEETEJXzobrpisvFKlTJIkS07QRUvn9HCe716J0BUJWU7oyemokkTGUHD8CFVJGCiYHO7OoCnyAtfjtYiyth/ylqM9VGb7mTXdgChOOmKg7gb0FheaIQZhjKYoDBSNznZLEMWrVjotl5RctDSGSgkvjTaI4piejIYky/TmdMzZrbOxukfR0jjUbSIh0fIjwiRmuGgx3nQ5WMqkydZAHDObwB1xz0CBjK4w1nCJ4picrjJQsNA1mYKlbct9mCQJ37k4jQJUmj4jdR91Vlx0ZzVu1Bx0VUZXZaqOjyZDRldpehFZXcHSFRpO0BEnC9uSbE0vtPmLhIyu0J3VGW+4GKqcLhosnem2R8sNmWp5e8YwUrBxhDgSCPYJu+E9stx2niRJ5EwVyYPS7FbCcsd5ZbrNlak2uirz4KEu+gvmmip7llvZrzRBV+2ANx0u8cDBLvKmypGeGcbqDn15kzBOOu0ggE7T2PmT2EqibLzu4kcxB0oZBotmmpAdx6iyxOXJBniTBGGMPF8YzNoQDBYzdGd1RmppY9ZXRpurVjqt2ENLAsePqLshP3KizHTbZ6bt0/YjcqbOIBKWrjBjB2hK+vpOkDbOzesakizNOn3LhHGMHyWEcUxCgjP7e0mR6c4Z9BUNZElas4hc7314fqLFty9O8TYLLE0mr2qdhq8SMFg0uDqTmk12ZXWKlkrbDRmrO9QcGVWWMVWFKLY5Vs52DCm3cmtr/iJBkiQOd2doOiGTLY+iqaHKErYfcnnK5kC3tWcMIwUbR4gjgWAfsdPeIxvdzps7zmrb5+9fncTxI472ZjBUFVnavAXBWifoh4/18LVzFaZaXkeI2P7KUY7lRNlioZgzb359Hu7JwCh4UVounzXUjg1BRlfpyelMNFyCMObiRHtNJerLJeEnJEw2XCYaDspsu5ThUrEj1rTZBrujdYeBgkndCWajVQlDJZN7BnNM2wE120eWQFUUipbCaD3A9mP68holMxUoNdtnrObwo6f61ywi10OSJJwdqdPyQrDA1GTsWSuBgqHS8AKKlj5rRQDDpQxXp9vYQYilprlTEhINN2DG9plue+QMdcu3thZf+8Xby7YXEsQJd/VlefhYz463uhBsPUIcCQT7jJ30Hll1G8XSONBlMdHwlszpmGr5vHijhhdEVO10u6Q7q3O4O0Mpo2+qsmctE/RWRjlWEop5U8UBjvVmmGq52H6IqSkUTA1JhnPjDSZnc5+uz9jcPZCKssWWAOX8za23paJ2dcfn6rTD9arNxak2pqLw+mSLU4vaoURxgqEpvPlId+d6/d0rE5wdqdH2I8JZA8ScqXGoy6Lh+BTNGF2Z7aohpf9OkrTtyFKaZyvuw5odMNXyKM4e+9UZh9psg1xFkjBUBcdvc7ycw9IUxuvp2B4sZYjitF1M0dLIGSpTbZ/xmsfBLmvLc/CWuvZz28stL+TSVIsT5QI/cf8AsixyjW4HhDgSCAQrspzA6M0ZJAk8d3l6ybyZyYbL11+vMN5wOdSdwVTTMvDxhkvTCTk9XCBvaktuf6y1LcP8CXq5v9mqKMdKQrHSsCkDDxwo8d2rdaZaProqM9FwsHQNS1cYKlr0FXRevF5HkVtEcUzVDm9aAsgyXZaOpqZbXv0FY8GE3HADzt5IE5KzuowqSxSsm73oTg8XOgJpLnJiakqnH5wfxbT9GFWO02tH6nt0fcZGlSUeu7tMzQ6ZarkkJGR0laFSlnI+FQDbUZruhem2ZM5QIIFq28PUDVRFIowSmo5PzQ156FAXPVmdF6/XOFCykGSZvryB44fUbZ8wSejN6lRtj9fGmgyUtnZra6VrP9XyONid5eHj3UIY3UYIcSQQCFZlscBoOAE/uFalMdvlfnHezDtO9vLyaBPHD+nLGyiShCxLmLKCocpMtjyuztgc783esv2xkbYMq/3NVkXblhOK3RkDalBzQ7pzBk0v5NpMm7YX0Z3ReOhwF/cfKKIqMqM1l8mmw0jVoSurdiwBgjDmerWNLEk0nICBotmZkC9Pt5lq+jQ9ny5Lp+4F9GQNLF2mP2cw2U5L3OcauN5s6Koy0/L45vkp2l7IYyd7uV51O4IsqyskEXhRSMsNGGs4NN0QXVbozcoc6rbImxo3ammPumrb39Lt3LnoWBDFIM8WyAEk6b/jJEEhtTI4Vs6hKjI1J6AkSViawkDR5OqMDVHa+qPthwx3ZXjbia1poTGfvdY1XrC9CHEkEOwBdqOB5XqZExhJkvDKaIOGGyybN/PcpSp1x+dQT9qWY6xu06+aIElIkkTR1Jhu+aiyxJnhmx3EN9KWYbW/ecfJXnRV2bKxXSwUdUXi+1emaAP12d8d7s4QxgkkMXUnZGK25UbWUOjJGVyqtHHDkCO93RizOUVzFVkS8Opog7yZJha/42Qvz12e4Yc36miyhBPGDBQs7h0ocHXaYbLlYWkK002fStOj7YcUMzoDRYOvnZvi/GSDF6/XyBoaYQyHui2OlbOdrbzxmsP/7wc3uDjZJgKSJEaSZEbqDpNNnzcf7cILIp6/MkPdCba0j1gpo1HMaMy0fChAKWNQcyOcIEnzoVSFN/QVSEjIGSr3Duap2QFtP6LpBqiKzIMHS5RzqVmkG0a88+4y3bmta6Exnzu939idhBBHAsEus5sNLDfCWlo7XK+2iZN0MjncY9FwAiaaLiVLR1PlTjL30XK2s/2xkX5acwm943WHgaJJAsjyzb95abTB5797jZ6sThAnWza28yNR1bbPWM2lADhBSH8+Q9uP0nYlhknejKm0Pc5NtHnLUX12OzIhiBJsP8KY3W5Mq7MkNEXm6dcmuFa1KWU0hkoWPVmdoZLFQMGkK6MCEmGccLQsM9X0mGqn/1Rtk3sGiwwUjc5YGoqCpsioElyZblF3fO4/UKQro5OQcHm6xVTTR1VSY0NdVfGjhKYb8A83atSdoBO16d/iPmKSJHGsnENR0shhf86gJ5/mWbW9iFJG477BIk0/wNQUTg0UuTDZ4J5lqg9P9BW2PR/vTu43dichxJFAsIvshQaW62WlViZzrR3qboAuKzhBSNHSOXMgjXJMtz1CLyCKYaBg8o4TN89vI/3jzk+0+Oprk7hhzEjdQZXlTjsHSMd3xvZ5x4ky/QVjW8bWC1NhUwCKpgaShCKn/wRxknr2KApTLZe2l7Yh6cqm9gdBFDPd9lAVmbyh0nJTg0NNkSjnDYIo4m9fnqDl+mmbjKqNJKUCSlPTBrppgnuWA10Zfvz0AId7Mnzt3BR1x6dk6ZybbDJWd1Ek0FWFmXYasXv4WDfjdZcXrtZQZImenEaUJMTI6KpEydIYa7hcmGxxsj/P0U02PF4uOjpcsjg1kIMmOFF6b6mKzKGezAI/KlNTOtuM66k+FAg2ghBHAsEusZnO4+t9n63cBpjLE3H8EJA65eNBFHOtmrZ2aLoBeUtnsuXxliMlShmDMwdS40g/jBivu9w3XOREf67zuuvtHzc/4ftwdwZDUwjCmLG6zWTTgUSi5QcUDBVNlVHk7WkOaqgy8myHd202d8pUZfKmRtX2yaCgqzIJCUEUd7rBn+zPc+9ggTBJUCWJS1Ntml5IyVRxwhgvjLlUaeP4AWGUEEVJGpGL08jFsd4smiIzVrNxgoTH7+njSG+2IzINVeHl0QYtP6Aro9FyQ3RFpumF/OB6DTeImWjYjDdc8oaKrijIkjRr1Aky0J3VmW75ZHRlUw2PV4qOlvMGJ/sKtJrw0MESIfKCiNDlqRYDhbQ1yNw248ujTZH3I9hWhDgSCHaJjURK1stqW3apcPJnj8ent6CuKhZKGY2srvLspWkUWSaKY4Iooe74WJqKIsNdfQXKBZ3nL8/w1XNTPHysi768hQTUnYCBksWZ4eKC91pP/7g5YWn7YWf8ZEkiShIcP+bajE3bC+nJaliGiu2FdM1Wcm11c9C0zNuCJvhBjG4AkkQ5Z2C7IRNNl96sjqmmkaKqHTJYtLB0JTXSlCRabsiM7VM0VOpuwEDB4up0m4uVFrIk4QchE830OvVkdbwgNSAcKqbnLhGTzLYw8cIYL4yotUPaQUh/3iRvaFydbuMEEboCN6ouSRJjqiqqLJE302PTZJmenIGmyMiSRNtLzSXlZe6JtZgtriU6es9QgecvwnTbo1zIdiJCFystml5IGEPlJbdz/943lOfBQyWR9yPYNoQ4Egh2ifVGStbLapNSpzHnTJMC8OWXxhnuXn0FXml6VG2flhehyhE9WZ3rVYfxhoel+hzry3O0nKFo6WROqnzv6gznxlv4YYKuLr/KX4/h5JywnEt8Hp9td3Ft2sENQ3KGQtP1CeIELU64VGl3zPu2YmznI0kSbzrcxfeuw9UZm4M9MrqqdCJVkiQRJTEgEUUJd5XzPHpXLy+NNDpl4W4YYXshbgB5U8fQZJ6/0iAh7ZemyhJJw0vNJaMEJJnxuktGUxgsWZRzBm0/7PgjRXHCRMOhmEk7xWcNlcM9WSabLpcqbeJZ/6KDXRbjDYcokcjrKrYf4gQReVMlSaDtpdGajL70Pbqa2eJao6OPHi8BcLQnx2jTT69NENF0QwpWKj6XElUDRREpEmwPQhwJBLvEeiIl62W1SensSJ1XxxoMlkz6s2mlWMHUVs3HmXvdOEl45929XJtxGa3ZTLd9CqaKIsvkTZXCbEl5V1bnkWM9TDRdHr0rLa9eybNorX275oSlpasc7s7QcALOT7YIwojurIEdRPhRmoB9opyjHUSdUndJkrbcQXlurA50Zbhec7A0GVmSyVsqA0WDoZLFm492M1zKdM6/N2d0ono1JxVyQ3mLk/05Xhlr4AQRQ0UTWZZpuhGyLKetV8KIrKZh6BKnh4sMlyziBG7U7I4/Um/W5Hmn2qnimrv2/RhcrrQ41GXRnTN48FCRqhPw6niDtguaqmB7IW1DwQ8ivDDiVH+eROKWRsFraTS71uho3ckC8LaTvbSD9N5//soMqiJvOtfpTmQ/VL/udYQ4Egh2iY225lgLK/blIp18xuoO9x8oktEkbCCjKxwx9RUnnvmvmzVUihmd7qyGF8aU8wayBE4Q0/YicrOCz9JVVEWmmNFX3cJaq5fMfGFZyugcK+e4Ot0mkdOcmjhO6MroFDMqOSN9/5m2T9uLyBrKljkoz01CbTfd8vrFHznM187P8P1rVeq2j61KyJJJ0UrdwOef//yy8DkxMN5wUeTU5yhrqEQxSFKCG8ZktNlolK5hewHFjNWJhE23PFw/ms0DMzhzoMgzFyqMzPaV01SZmh1wfrJJa7ZCbqrlc3Ha4fRQgZrtU2n5hElEEEVo7fS639Vf4GfffJDRmrusYL1vKL/sROwGETXHR1NkkgSyxsLcpZsRvHRPMK0E06i2fepOQP82bjnfrlSaHq9NVLel+vVOEl1CHAkEu8R2dDifY6Utu7YX0XIjLF1JvXi4+fqrTTyLX1ci7UhesDRkSUJXU3ESRDFJkrbGqDs+YZT6Aa2Fct7ggYNpRAQSynmDrqy+YBwWC8uMrtBXMMgZGlGcUHV8Tg3kiWKYaLrkTZWmG3C92iZJ6BgsLh7b9Xz5z8/nCoKAHuC7l6u4QcThniylAxo5U0ORoNLy+Nq5yi0Rufll4XN94C5PpU1Wi6bGTNtFlWVyukLeULH9iIKh0PJCdEVhqunxcsPlWtWmK6PzzPkpLk/Z3DeU5+0nyzx7aYa2H9Jqhkw2PGRJoi+nI8vy7PakTxhqPHpXL69Ptrg23YYESlmD+4eL/NjpAe4dKi441/mCdaBodJKjF0/EAM9fmeHcWJNX4wZIEkVL4+7+PMNd1qII3sIx3u4t59uZZ85PUfeiLa9+3W+WI5tFiCOBYBfZLtfdlbbsgjjGCUJMPfW/WcxKE4+uSIRRzHjdoWBqIEEQxVh62saiZGqosoztR1ybsZlu+Uw2XQYKJj+4XuPMcHHFc5r7Ar5RbVN3A2QkDnZlecvREoamLhAt84Vl1ki39MIoxgljui2De4cKSBK8MtbgtbEGVTug7aXJ0Ae6Msu+91q+/Bfnc+kZFb8K3zhfoR3AE/eW6cre/Jusoa66FTR3L3zn0jSXplpAmluEDINFE1WRuTzV5uKUTZwkjDccXp1oYHsh/QWTtxzOUrC0BTllfhQzXneRmi5JktCXNzg30cINIoaLFhlDZbLlkU9UfvLMAC/eaNCXN3ns7l6O9GY77TCWMj/0w4ivvz61ZE7bpUoLSYKGE9DyIq5Op75XYRzz/WszPHioizce6qbm+LNO3gsjeNu55bwT7EaEJZnNyG+4Pkd6C1u6FbkfLUc2ixBHAsEusx2uu0tt2c1FclpuSM0JuCtnpOXSUbTgb5ebeCYbLmdH6lyfcbg6nba5QEq9fVRZou4EjNddjvRkuTDZpOGGkCQMlSxO9GW5VGkx3fKX/SKd+wK+UU1bVTTdkLoT8M0LU/yvF65xerhIT95YIFo6wrJqkyQw0fQ42ZfncE/a2Lbu+ARhjCJLPHCgxEOHu1Bl6ZZIznq+/Bfnc9WdgIuTTY4DY3UHJ4RvnJ/m7SfL666Q6yuY/MT9g5BInK806M3qTLXSjvNuGJHVZeIkSbvX+yEkcLg7g64pXK+6lLI6R3rSiXC87vHYyTLPXZ7h/GQLVZKoOyEHShZOENH0go6/0njNQZUljvXleOzk0tdncR+7r75WWzKn7bCW4SuvTeL4MYaammRCKqxzhkrDDXnuUpVKw+WRu8pLRvC2c8t5u9mtCEvdCQAo57Z2K3KnLEf2GkIcCQRbxHpXi9u5uly8ZWeoCpMNj4mGQ9VODQUnmi61dkDJvCmClpt4JhsuXz03yUTdJWeqs9VVUWfbo5wz8Wa30mZsHz+M6csb9OZSh+yilbYdWe6LdO4L+EbVpu4EzLR8vCim7vhUGh4NL2Ta9vknDwxTyC5MHH/nqTI1O+DBwyWev1xNc2YUmTCOOTfeYqTmcrQ3x5nhYidHZ34k57Gcvq4v//l5V3Un4KWRBm7gc1wDU5OxDJUbVYcXrlZ50+GudVfIybLMw8e7ccN0S/J4X5YjcZamG/Di9Ron+3OcHipyfrJFzlRT40nS7cOr0w5nDmidifDBQyXefKSbl8fquH5M2wuJE1BkCS9MmG77KAq0vJADpQxvO7m2nmTVts/5yQamqnTyuObGzfZjojhhquUSzeYZ9eZ1Gm6I7YdYuoLtRbT8tO9cOW8QhuGK9+9WbjlvJ7sZYZnL2zK0paNpG92K3AnLkb2IEEcCwRaw3tXiTqwu57Zpvvl6ha+8NknDTb+87u4vkDUUXh5r8vXXJ3nL4RJFSJ2G27dOPEmS8K0LU6mTspRwo+rg+OlWmiqnYkEi7UjvhzFVJ+AtR/KUMmlkSprNaVrpi7RmB9yotnGDiJmWT9sLcaMIL0jL//t1nZod8I3zU/x/3jDUiY68NNLgnafKdGXTZO++vHmzAmzG5+p0m/6CwbFyjuI8sTf/WK5O2yt++ZfzBucnmwyXLPpmXbb9KBW0Fyot2kHIQFYHH1RFRpJlMoZMyw03XCGX5l2VOHujzsRsknYYJWiKxF3lAhldRVNk8kbqyA1QsnSm2x5tL8KaNxE23ZDJukcMlHNp5C1tV+KjSDIHukw0ReGdp9bWk2yy4fLN81O8eL1GTtfQtTmX7jRaF8RpvlDTCzDUNGlfU1OHaz/UCaOYGdsnq6tcnXGotn3yxq1jst8ave52hGUub8sLYtQlZvaNbkXeqflf6xZHH/rQh/jwhz/M29/+9u04HoFg37He1eJOri6TJOFq1cabreoyFBlZkegrmPQVDL57pcaFSos3ytBwgyUnnvMTLb7xeoU4SSiY6URfzhn4UVpePli0UGSJ4305Gm7A9Us2eVPvVKt1joW0tchUy2ey4S6IlM214Gg4AU0vpOUHZDSVIEp7aimyRC5OmGn7nBtv8ZZjXUsKrbktyvMTLZ45P0UYxfhRxOsTTaZbfieKBTe/1JteiBdGhLFK1fY77sxplMjn1fEGlyptplseB7syFDMaXhAx004NEoumNqdPyBka483Ua6grq625Qm5+FLHhBFyv2ozWHPww9UeSJYkojmm6AVenHRJsKi0PVZHozqaCRlNlQi8giGIkQFdkdEXietVGUxXiOMJUZZAkTFnBUE0mmy7XZxyeuHdgTav+uXt3vO6QNTQKsyaW4w2XphNyeriAJstEUUIUJ0gkxEmCG0TIkkScxNScVPyGUURyPeGrXRkeOVZa8v32U6PX3Y6wzOVtVVouGVO/JTK70a3I/Z7/tVHWLY7q9TqPP/44hw8f5hd/8Rf50Ic+xPDw8HYcm0Cw51nvanE7V5eLt+n8MOKvz47z+niT4S6LnKGlCbrzJrJ/dLybyboNdfix0wP0FjK3fKmevVGn6YWcLOeww5g4ScgaKhkUao6PHybkTJkwTsgZGiTQcoMFSbZ1x+fqtMNo3aHtBWR0mZGa2xFihipjexEXJlvUnABZgmocYAcRXZaKriqosoyhyZ0eZdYyK9ZK0+PF6zWaXkB3VidvaiiSxGitzWTD5eRAju6MAaQ+SH4QcWXK5lzQRJYlVCWNhGgy/MONBpWWiwRMtTRAYqrl0XBDplppPlO6rZUeQ2/WYLTuEScymiLRdNKtsUorXnYraH4UcbrtcXUqFTNnhvMc6Mow2XT4zqUqQRihaQoFK/3aHmu4vD7R4vSQTM7UCMIYVZZRZakzEQKM1hzODOe5OGkvaP4bhDF+GCNLEge7M6veb/Ob/PYXTJpuRM326C+YGDmDyZbH1Rmb04N5VEUiSaDhhLTcCGSI4wTXj4iS1GYhayjkTZUbNZtnzocsF7PaL41edzvCMnf9CrN2HFu1Fbmf8782w7rF0V/91V9RqVT47//9v/Pnf/7n/Nt/+295/PHH+fCHP8xP/dRPoWm31wAJBCux3tXiRleXq+UnLd6m02SJ6bZPyw0pWCo5My21TyMGcmciu2+w0On1VcrotxxTzQ6Yart0WRp+nKQNVSWJKE6QFZmsrlF1fCzdnK18S+jJGdScgKFSahpYd3zO3mjQ8nyCGI735unPmwsiZUmSULdDZuyAKI5RJAnHj2h6IY4fYOkKPVmTrK52epTNRUfmr1jni897BvId9+yspuD4MaONNiN1h4NdFlGccM9AgQuVFn6U4EcxwzkLP064UmlzodIiSRKKlkZPzqA7o1O1PTwt7dXW9kLqjo+pyRRmt4XafsDRco68qVJ3Qtp+gBtGnOgrrFr1Vs4ZTMxuf8VxxMVJG0tTqTQDLE0io2u4QZqHNVCwOFHO8dJYnfOVFqf6c9ScgJ6sSaXlUZqdCOfO60ApQ0ZXFzT/VWWZg13ZWSGTMF53V4zMLG7yG4QJdSfACWMGC+aCxO7DPVlG6w4jMw6mplDMqMy0QxpuQMZQkCVQFJlDPVnuGchzbbpJmZsVV7vBZnMA90qE5dETvbw2YW/ZVuR+zf/aLBvKOSqXyzz55JM8+eSTfP/73+dzn/scH/jAB8jlcvzCL/wC//yf/3NOnDix1ccqECxLkiRU2/6Oh97Xu1rcyOpytfykpbbpplser403yerpRzwIY4w5byJJmvXQSbeFlirnn39+iizRX7CYaLmUszo5M/XHKVoaigxtL23xkNFlrk7bvPFwF34Yc2W6TTlvcLliU7U9dFWmy9I40pshZ2qdpOizN+ogQTmv05vVeH2yhTmboxLGqS1AkkQYSkBPViejq53oyLFybsHEniRJR3zKsszh7gwTdZeXxuookkzRTA0rq20fWZZ4daJBf97kLUdKvDTSpNL2KFoaThBRtVPX76yu0l8wMXUVU1OYaLp0aQYHukwKpsbVmTZBKHNCg/6CxaHeHHlD4QfX69w7kOexu8sLyuLnWBxFbHsRM86s07gkUbU9zo03aPsRXRmDBIhiD1VWOhGgu8o5rs/YXJ6yyRgqpYzGXfMmwmrb70zYRUvvNP8NohhNkWk4Pq9PtPja65Ooirxs7ttyTX6DKMb2I6bbHooi0fJChkvpNqvtRxiqzLVph8lm6nWVM1Njy3YQcbI/z5GedFzKORNqacVVWd/5KNFW5ADulQhLOW8w2JXd0q3I/Zb/tRVsKiF7bGyMp59+mqeffhpFUfjxH/9xzp49y7333sunP/1pfv3Xf32rjlMgWJFvvj7FaNPfcXOy9a4W1/v81fKT5jqUL96m09RUCERxjB8l1ByfftXsJO/qikzDCRhrODwwVKA1tfz5GapCXyE1Hqy0fYqWStsLmW6nE56pyvTlTa5O2xQzOj9yVy8AL400OD/Z5GKlSVZXKGZ0Bgsmqix3WlH05U0uVJqAxNFy2vvres3BCyJkRUJTZYwkIU4gThJsPySrq1RaHl4Qc23a5sJkC1VODSgzusp026Mvn173oqWRM1UMVUGRIAgTvDBmsGRxqDvDdy5NUzQ1CpbG0XKWq1NtJhoeY3UHVUpTybuyGtm53mJSanrZ9ALypspPvGGQ712pUmu74MKpwTxT7YDnLqfbYIYm862L01yZdm65HxdHEWdsj+szdpqnA8QxTDY9CpaWVrwloCkyJwdy1OyQ6bZHlCTkDZV/dLzMQ0dKC9qTwNIT9lwuWM32eO5ylZyh0J83sXR1ydy35Zr8GpqSis+mSymjM1yy8MKYhw6V+NbFac4MFzk1kOfF6zVeGWukYyrL5Ax5NrJ1s3pQV2V8YKTmoKrajuYVbUUO4FzUqa9gcHW6zeXpNv27GGHZqq3IxdG0x+7upe6Eez7/aytYtzgKgoD/+3//L5/73Od46qmnuP/++/m1X/s1fu7nfo5CIXVF/cu//Et+6Zd+aU+Lo8985jP8h//wHxgfH+cNb3gDf/zHf8xb3vKW3T4swTqpND0ALk+3Ot28d9KcbL2rxfU8fy35Sc9dnqFm+7ds02mynFYISTKJF6LI8oJ8k5YXUHcD7hkqdDqir3Z+9w0VuFa1mZnto5YkCc0oZqBoktUVhrsWCtJ35g2GSxaVpkuSSNhemhitKu1OdVPe1LD9CJCI4tky9qPdnJto0fJCNEUmqyvYQdrywg0iwiRhsu6lztRxQimjM5A36S/qjFRtrk7ZdGfSfmZtL8ILY+7pz4MkYXshfhRzZrhIGCdYukKl6fL8lRq2HxLORkKcIEICnCBipObgRQnlnEHWSLfU3HaELEsc6MrQXzA5e22G1kU4P9Hk8rSLrso8eKgr7YW2zP04P4pYd3xeH2/R8gJKpk5OVwiimNGagxfE9GQNMrqS5kNlDA52Zzru424Q8xNvGFyy0my5LREnCPnulRoSCW863E1u1g5gqdy3pZr8Gqqc3m+zYrHthTScgNPDJSxd7ZxX1lB5x91lTg3kefbSFKaqULDS6FWmI9J8LozXuIfU3fnsaGvHFjdbkQO4OOrkBek9NxI5GJq8byMsK0XT7oSGv+sWR4ODg8RxzD/7Z/+M7373uzzwwAO3POed73wnpVJpCw5ve/iLv/gLnnzySf7kT/6Et771rfzhH/4h7373uzl37hx9fX27fXiCRSyXC5AkCa+ONgA41J1BVtLbeSfNyda7H7+e51fb/qr5SderDnES01+wFjyeNRS6szpjNQdVkTjRn6M+G20IXJ+GE3JqIM+Pnx6gO7P818D84605Psd7sxzpydJyg3TbydJ4y6KGqvP/VpJguuXPKyNfmBR+rJyd7fgu0fICwjhmsJSWhI/UXBpuQBBFFBKNUwNFEtK2GqM1G11TOFI0CaOEiaZDywu5byjPjZrLy6N1BgoGQRynrUtMDVmCupNGjQBsL8INYsbqDkGUMFi0CGQJ2w9xg4gkSdBQ0FUl9YbyIg71ZFAkcPyIg11W55zfdrKXv7kIw8UMiaRwz0C+s4223P04F0V0gpCr0w5hHDFUsKg5ARZppKpgaXhBzIWJBod6MgyWMh17hKyuUGnGnOjLrxgl6NgCjNQZb7ioskQYJ+iKxOmjPbf87eLcN282cTvSoWRpVJoeky2XoqmjKzJRkjDZ9DjWm0ur1ZSF0VEJif6iyfFygbG6jSKlEUFNlqnZfnpcVZt7uuB4Xw4/knZscbPZCrPlok4TDQdNUXjz0a4lPxt7nTvREXsx6xZHf/AHf8A//af/FNNcfmBKpRKXL1/e1IFtJ//pP/0nfvmXf5lf/MVfBOBP/uRP+NKXvsR//a//lX/1r/7VLh+dYD4rrV40RWa07lCAjpfOHDtpTrbe/fi1Pn8t+UlxnCDPeujM36aTJInD3Rmmmh5V28fSFIaHLGbaBuN1j3sHNd5zeoD+okUQBOs6v7nrcP+BrhVXw0mSrFBGLjPZTEXMu+7pR5IlXh6po0gSQRiTNTRO9qs4fsREw2OwZHLPQI7vX6vjBRGqolCwFBRZRpGhXzWZaLpcr7qcHsrzg2s1Xh1vUs4ZKFIaKXNmy8ltL+R7V6v4YcSVqRYNN+RUfw5DkxlruMgSDBZMrtccDAmCMCJnarT9kJGaQxTHHOrO8taj3UBqiDjXeNb2w04ezXyWuh/nonIvjdSYarl0ZQzyZoITRFSaLnU3RJPTvx2terT8iFJGY6rlkSSkUaasseJWzfzPjxdGQELJMhgsGem4LXPt5ue+NZyAy1Nt3LCJIqdbk0EUE0UemiITxwkDBZO3n7y5Dbc4OiohcbjHom77XJ62OV7OYqgSr1xvcqNq059LP59eEJO19B1b3GymwmylqNPR3hxXpttMNnzuGyruK2G0235Ne4V1i6MPfOAD23EcO4bv+7zwwgt8/OMf7/xOlmUef/xxnn322Vue73kenud1fm400khFEASrTiqrMff3m32d25VK0+OZ81M0XJ9yzkx7awUxlyZrTDVsTg3mCMN07JI4uuXvDSUhCNKO6Tl9ez/EXZbCo8dL1J0sXphgqFLH/G+p67uW5ytE6FKC6/mz0ZWFuH5EyZApWDqVRhurO7NAJBYMib6cSn9eJQpCRmfS5Os3DOW4Z6hAd0ZdcB/P/TtJ0iqk+ce13vODdLtkdKbFmcEMl6ccppo2RVNL/XjCmCgMSSSJ4aJBMaMx1bAZq9lMN2y6cjp+GNP2Iso5jZO9GW7MtJGJ6c9r1G0XQ5Lw/IgoBkUCS4HRapPeTIkj3QYHCgZtP0AiZKYZMFA0aXsRbdejaGqEsowmJeQ0iSuVJkmcYLsuliIRSDFdpowsQVaDKApJopDxms/9w0V++sEBoiji718eY7TuEIYB3cDrE3XOHJBZKhi3+H5MkoTBvMaLUch4rc3RnixZTaEnozBWbRPHMYaWNtI1VGi7Pl95eYzvWTMMFA3uHshz32AOPwip1Nud6zHHLZ+fbPr5qbRsGrZLEEYr3lu6lFBtOvzwRo04ComjmP6sQRgl1JwIVZY53mfR8iLuHShwpNvo3Aun+jNUGm1eHa1iKAq6Ks0m5MuokkmXJXOxUuf6VBNTloijCDT4wbVpShmTQ90WfVmNkZkmU41sJzdpq1nLZ0yXEhSiW+7zmu0zMtOkL6tBHLG4zm4njn8+WzWf7LXz2krWMzZSspu1k7vA6Ogow8PDfPvb3+aRRx7p/P43fuM3+PrXv85zzz234Pm/8zu/wyc+8YlbXufzn/88mcytzSsFAoFAIBDsPWzb5ud+7ueo1+udHOnlEO1DVuHjH/84Tz75ZOfnRqPBwYMHeeKJJ1Yd3NUIgoCnn36ad73rXcIfahE12+fLL41TMLUlV3S2nyajFk0FRn6IeeQBZPnm7ZyQcG3G5mhPjred7N234d9bo2fy7OrfpWDpPHpXL+W8QaXp8epog9G60ynTHipa3DNUoJxfuSXE3H340CPv4NnLtaXfy9R59ETvqq8FNyNPlabPMxcqmKrMdDtgpu1j+yGSJNGT1RguWUiSxI+dHqCU0XltvMFffn+ES1MtHD8ijhMMLS3pP9yd40dPlXl5rIEfhnz/Wp26HZAxZGrtkDBOSAAZGO4y6c1bPHCwyNtOlCnnDS5MtPh/n7+GH6SJ1Ioik1FlZuyArkxqXHm9mm6DaEpa6RMnYIchRVMjZ6gcLWfJqCrvPj3A2Rt1Lk+3ODQbrUviCOfKD7ikH+O1CZu7B9It0rlIXkLC1ek2ffkMR3otvn+1RpjE9OVMdE3mxatVzleaFE2dKEnozxlMtHxqtkfVDojihIKpYnsRdhASJZA3NA52GRwvFzhWzjLV9jrXSVOkVT8/o3UbU1WJknjJe+vMUJHvXZ3pvEbdCbhWtdPjiWLafkjbC7l3sEApo3fuub6iwXcvzfDDGzVkOa2Oi+P0npAkiQcPlXj3fQN870qNp14ZY7hoYWlwzL/EJf0YCakPV8lKK+B+7MzAtkYo1voZW8xy31EJCbaX+lF5UcT7HjiwIyaWWzWfrOW7t+EGnc/tfmJu52ct3HHiqLe3F0VRmJiYWPD7iYkJBgYGbnm+YRgYxq0fDE3TtkzQbOVr3S5ERPiJhGnoSPKtwsY0FKackKN9BS6PwPWaR7mgzktu9ihmLc4c6kbfBd+UrWKoW+Oxe9Sb+T5OiK7IHOsrLcj3GerWNu1t8vqkTd2LONJ7M4dFVSEz67j72oTNYFd2xddcnONybrLNtWmH/oLBQNFE09I8oqszLhemXB47WaYnb1FpevzvH4xzrepxV18RXZVpeiHVdkDWVJBkmeeu1plqurw81sQLIhw/pF2NQUowVYU4SVBkmRiFhw53UXNCXpuwGSilyfqlnEFv1sTUZHRFIaPLnB1tMN5w6cloNIMEWVORZZDk1LqgK2NxuMtisuVxacrliXsHUFWV0aZPbz6DHUgEcUzqnQ0He/JM2gmvV2wGurL0ZI3ZRNY2TS/Ej12evTJDzQ440ZenOyeRVTVODpVwI4mLUy3COKYrazLVDnDDhHaQoMkSdT9BUxRcL82davoxM06C0fA41l/kcK/RuU73DOZX/fzoesibj/Yw2fCWvLfihAWvUcqpFLMmLS/kRtXh3EQDP5LozmcYKJjMtH1eHKlTec2n7YeYurYg0bkrlzDecHht0qEnX6fmBgx356g6AYaWTkWJpBBLCjkTrlQd7j3QdYtr+1az1s/YYnoLKsPd+TS3arZdR832uTpjM93ymWy6DBRMzo61ODNc3LEE5s3OJ0ud1xxJkjDZTitqt/u6bAfrGZc7Thzpus4b3/hGvvKVr/C+970PgDiO+cpXvsLHPvax3T04QYe1+gENFk0uA0d7cow2/dvSnGyt/aXme5tsxO13tO5sqi/U4goXQzW4MtWm5YV4MxEtL60Cq9oBbS9EksDQJAaLJmN1l7G6w9GeDOascWXR0imYGtdnbMaqDqaucM9AAXm8iR1EeGFCGMcYiowbxpBAd07B0GQ0RaUvr/LaeJ2WFzBWdzk/3mLMcBkoWRzuziDLKoe7MzSdkKszDi0/5mhPlumWx41a2vutN2ukLtPz2mz4UcJ022Oi7lF1Uq8nXYE3zeZgP3iwi+9fn6Fqp0ngXhDRdFOjzK6MzkjVpS9vMN5waLohZw4UKFo69x9Mq/G+f63G9RkHN4wpWjpNN0SSJTKaghdGRHFCMasSxxJ+FFFp+fhxRE5SO9fpaG9mTZ+f4ZLFfUOFJe+V+QaSc6/RcAOuTNmcHalRaflYmsz5yRbXZ2zcMKblBbx8owEy3H+gyIJbSZLoyhhUnYDzEy0MXeaucp5XxhpU2j53abMtRuKImhOgKTLHyrkdmYA30sNtceWpoSpcmGxRdwNIEoZKFif6slyqtJhu+fumwutOdcRezB0njgCefPJJPvShD/GmN72Jt7zlLfzhH/4h7Xa7U70m2H3W6gc017/rbSd7aQfctuZk6zF126jbb7CJvlBLVbi03JAEiVP9ec6O1qk7NooMSQJdWR0FmKx7fP18hcmml7YDWfT+kgRuGNPwUlGWs1Q0WcZQJRRZxg1CFAX6c2lZfRhGNL0IP44glnhlrIkbJBzrtRgqZbhebeNNJzScgDOzJoT3DRWYPu8hA6oMvTmDoqWhKRJOGBLEaZsNTZUoWBoNJ+DqlN2xJ9AMlbaXVqv94FqNk4NF7h0s8LYTZUxN4fkrM6iKzNGeLDUnIEpiSoZBwdSYaLpcnXY4c0CjaOn8o+M9NN0IU5foCnVkJG5UbVRZRmK247oso8oyYQKWlho3BmGy4DqZmrJmP63l7q3Fn8GGG3D2RoMZ28MPIjK6QlaTeW2sgSRJHOq2aLoRdhDR8gJevJbQKIcc6k5bl0BqTipJCUGcYCFhaDKnhwtcm26CCzO2j6SodHeq+axbjmu72Ihx4lwl59kbdb56bpLxRip8e3Nmp8lxkiT7rsLrTnTEXswdKY5+5md+hkqlwm//9m8zPj7OAw88wJe//GX6+/t3+9AEs2zEP6gruze2Jjfbo2kzrORPUmm5PHiwi4KlLXlc2ib6Qi3lFxPEMUEY48Ux3RmduhuQ0RR6cwaaKhMnCWN1Fy+IcfwQAD+MMDV13vvGuEGIKsvIskTTCZlxfKTZ/2mKQpJIlCw1NZT0JFp+iB/EXJuxCaOY7qzGpSmHqu1TtQOCyGOioSAj8YaDRWqOz4OHShzuyVLO6xQtnawu0/bjTv4WJDTd8JYu91EUM1b3cT2PN/bA+UqDazWX9z0wzOGeDFenba5XnTSvSUrNOVVF7pSPlyyd6bZH24vIGSpemHCiP4epypybaFJt+yiShBdGhFE0Ky7A9mOKpkoUpw7lmiItuE6mpmx69T//M3h5us1U06fp+WR1hWtBRCmjo8oypprgRTEXJtuYmkRGVwhmI1wjVZs4SjhSzpLRVYIwJkkkujIaQ8UME02HIz1ZTg8VcC7Bg4e6UFWVStPlrr7Cvmhm2lcwefCQxIVKixP9ufT+mfWigp21FdlKNhJNu524I8URwMc+9jGxjbbHWcvqZa/ZIGxFj6aNspI/SVek8d0rNc7eqHNkdsulZBkc68vQn0snoKGixaUZZ0N9oZbyi9HkVADVbB/LUJhq++QLGkgSXhgTxQlZPXVrnhMJlabHwS6l0+YkihP8MErdrDWF0ZpNFCWoskTRShN9G65PpemhKjJemPop+WHE1Rmbcl7n8lQb2w/pyeoUTDXdwms4PH91hpyp8OChbu4byvPy6M1WJ2mbDblz/lem27d0uT97o8HZ0TqKLNNtps+VE6jaAa9PNvmrH4wyVnd48UaN3pxBOWdyqNukO6t3XKY1VSb0AoIo7ozzqYEC9w3lKV3Q+btXxwnihChOUDSZoqVSnZ2sJEBTU7Gpq8qSEaHNrv7nPoPfuTTND2/U0WSJgLQZb9ZQmZrdWmv76bZpXyGDH8Y0XRlFTtuMtPyAiYbLQMFgvO6iqgp39eU4M1zk669HqXibXdjoymwy9ir+TXsNP0pQFYmBQtpXbjGrRV73KlvVhmQ/cseKI8H+YD+tXnbbVXY5t9+64/PSSBMvCEliGUWSuVF1+NbFaTRF5r6BLENAX9Fg2ok2FGlYKkcsa6StIi5MNskZaZSj4YQEsTcrehK6s2mblO6cQdVJfZjmtzkJooiqHdKfNzDUdBLuLxg03RA3iNP2DKFMww2Jqg59eZ1CRmesnhoUarJMywvpz6d95QxN4YSpMtRlcmEybYz72N29yHLaDmO1SMtcl/vhokXetDG1tMO8E6U+W32FDLkw5tWxBiM1h/uHCuR1lSCMuDLdpG77HOlN85wmWx6WKiNLEn4Y8eqYQ0ZXOdBl0Vcw+ScPDXPfUIH/7/ducG683hGVBVMjiBJ0XcbS0goxSAXc4uu0FZ+fvoLJm490c3WmTTln4voRz1+NuDJtY3tpNM0JYlRFJolTwdad0/CDmKYXYmhpLs7lqTYJcKQ7k+ZRzRdvM00KpDlN+3HrZr09EwV7HyGOBHue/bB62QuusktFb9IScoe2HzBctLhRc3hlLJ1oD5Ysqo5P3Q4YAl4dbXL6YBfjs33L1hNpWCpHLHXpzvLySIPxpjdr6uinlUlJgqXJRFFMpRVwtDdLb9agO6sDEk0vwG1H2F7IQMGkK5NGKVLBpRPGCSQwYwfkTQ1FkojihDBO6LI0Tg8XMTSF8YZLl6V3IlEpEookM5A3cIKIuhPSldXXFKmcS1Keafu4YcypgTwgkUQRUKFoKVwasYkTmGkHzLR8Gm5InCT05nSm2z6qInPfcIFr0zavTzYxNZlXx5oA9OYTnrs8zY1q2qj27sECv/L2o/z12XFm2u7slo1K3Qm4VGkRRAmaKtF0w2Wv01Z8fua2AP0w5sq0jYxEwVCx/dRWwPZDFFlixgnotnSO9WYZb7hcm7aZqLsEUczhngynDxQ51ptl6v/f3rsHx3We9/2fc9/7Li4LgABJ8CaKkkhbki07kp1YzMVS6ybjdqo/mk5ip27SeBxPXKdpnEtjp2kmk1vdNMnESdvY+SOZNJ1OnPwSp7GSWIod32RbsklKosQbSAIEsLjs9eye+++Pg10u7gABEgD5fGY8FrGL3fe85+C83/M8z/t96g7PnS/x5P1FTp8oMlNN88XnzvL0yaF1d0HtZNp6NTbbY1HY/Yg4EoRtYKs9mraDlZ5eG07AbCP2jHGCkGrLI6+Y7O+Jx9mrKDQ8D1SotlwmK84tdd5erUYsn9QZyFnMNpw4EhRGmFFENmGQTeg4XgBKxGTV5e339VNImUzMNyk344U3DKHp+XzzeoUblSZZSye50JRVAQZzFvsLKQw9Llx+48EevvfUMMcG0vzZixO8OlmlmFk831EUUWl5DC6kQLpTHUsjLeZCLY8bRMw3XPJJnZFCihevzeH5IfmEgaoqqDrgwKuTNWw3ZCBrUqq5C9ErhaYbUmv5aIrCmfEyxZxJNqFxcjiHF0RoatzuJWnqy6KNg/kk73rDvo5osxfO71MP7eNAb2rVGrLtpJAyGM4n+ezLk4RRxMG+FH0ZM24CXG0RhCGaoqGrcWF2asHbKLGQ6kxZGk8cLTKYT8S+UN1FyieKHb+cQspc8xh2Mm29FrLD6+5DxJEgbANb6dG0ETbytLzS06sXhPhhiK7pjFdaREAxc3MBMnSVhhOCCsVMLODakZTNslrk5S2He3H9ANePYsFDRMqIfYxUBVKGRsPx2JdPcmIoyyMHCkxUmrxweZ65hkO1Fde4TNdazNouqq1gaAopUydpqKhaLF4O9qb53pP7KGYtpmsuo71JMpbGRKW10PQ2LoSutDzSRizaFIVFqY7uea42Pa7N20yUm4sW4qG8Re+sxWtTdRKGSiZh4HrBwu9DX9qg6cVtF/rSJqauUqo5oEBCU5mstXhtqs4/PTlEtRk3A14v2rjT6WWlbWPgh4RRbG2QsnTuG0jjebFQtQwNJYqouwF110fXVFKWQcLUGO3LdIRR+/O6Hxg20t5np9PW6yE7vO4uRBwJwjZwO2sONvq0vNLTq6ooBCFMVFpYqkY+AaZ+U8B5foi20CTVMlTchYjRRlkq2opZi9Mniot+1vLi6JXvw0TZZrzcZKLSIgzB0OMt/5qq8PevTnGxVGc4n6Ta8vCCAFBoOD4akE/oWFpc5J22NHRNxQ/hvmIG2w3Y35Pk2nyTr1yZi+dJVenPWExVHWw3oBZ66JrKUC7BwZ4U5aa7KNXRPc+zDYexmXhX2qmRLPsLqUUL8VsO91BuupyfrNHyA5QwBAuODGS4Nt+iVPPoSVuYelzLVEiZOH7AUM4ilzQ42JPiSH+af7w4u+Fo451ML68kxnNJg0P9aTw/iv2dHA9dVXlgOMf4vM3VuSaX6g0absChvgwHei1K9TrDhSSjfcllzaG7HxgyKzgxLx3P2fEqZduhmE3gBiFRFNe1HerbPc1Qd1rECtuHiCNB2AZuV83BZp+Wlz69un681dvzAw70Jrk6Z8fb5c247qfcdBnOWdCKPXQ2I+A2KtrmGy59aYuspTOQM1HV2HYhoauUGh4tx8eNIqotH4g4M17mtak6R4pJblRcml4cibB0jWorwPVDnCCkP2NSqrU4O1Hl5HCOuYbHbGPxPKUtA0uLa5X2FzJkEgaaAqW6syjV0T3PxYzFVMUhBMIw4OK0TcrUyXd1i5+quvyrxw7w12enmLc90noENcgldPxIwQ8j0paKs2AeaajQDCNsL+Bwf4ZsQqfuBtsSbYyiOOVXqjmAQjFrdsTUer+30iK+2nnd35OkN22STehABi8Isd2AS6U6A/kE+bTBdLVFT9Ki5ftcnYsbDd83kCafXC7qNvPAULY9Xp2sULY9xuaa+EFcAN6bNhntTe2qrfJ7oUZSWB8RR4KwDdyOmoNbLfJuP73ON1xenazR9AJm6w7fvF6m5QXcKLc42JfCD0PSlsHB3iRMQKne4shAYUMCbpkbthEXKb90rczYbIN/emqIwXxs4NcWjhdKNWrN2Bn7aH+GK3NNCCMsU2NfyiIKI67MNAmigIulOqWag+MHtBZSVqqq0pMyaLkBNdenYvuAguPFO6JaXrBsnk4O54iiiJYfUGt5VB2PfMJYlOpYOs8NJ2B+QSQldHWRUWN3ROeRg4VOLdCFqTIA9ZbPgR6LuXqLa3MtEoaKripoqkIYRezvTTGYj4vOs5a+5WjjdLXFP16Y4etj88zW49RdX9ri0YM9vP2+/hVTOVEU8fpUnTPjFWbqDrqqYOo3U4btuVjJJytt6pRqcRoQNK7OxTVQgxmL6brDWw73c6Q/jReE3Cg3CYCmF9sUrPXA4Pv+mtfbeLnJyzdqJHSVQsrETBi4QchktUWtGfd3c4Nwz22VF3YvIo4EYZvY7pqDrRR5t5tpfv71EjXHJ6GrJNTYmG680qQy7vHwgTwP7svSXntzyY0JuKViotryuDjRYLbh4AUBr035lJsu3/+Wgwzmkx3hODbb4PXpGgNZi6YXMt9wCKKIjGFQzFq4fsDZiQq9aYNCQicgQlFg3o6NEAdyCUxdix2iDZWepB7XSwGVpseBnuW7nCpNj5YXMFFuofclSVvGgit2tnM+ls6zF4ZxS5BEbNyYMDSuzdsM5uIdbd0RnaF8LERP7kvzpedfoZA2aTghvRmLiu2hKbEZZrkZ0J+2uG8gTcsLOVrMMtqX4vLMrUcbp6st/r9vTvCNq2V0FYYLSSJgtuHy969OMddw+b6Hhxddd9PV1qLropAyGcomGMybXJiu8g+vtTB1lWMDmbiRr7pYjPdnYmfvK7MN0qbObM0lqcfeRGnL4FBfimwiHq+la4yXbQxV3dIDQxRFXCrV8YOQQtbqRNoSqoa18N0XSjX29yRlq7ywbYg4EoRtZDtrDm61yHu62uJzr07zjavzhMB9Axn8IDZjzCYMHhrJMTbTAOIt4I4akQPefmzlSMNSusVEu6VEw/Vib6KkQUL3eHWyxmfOTPKuN+xjIJeIvXIO93J+qoofwLzt0FoQF4PZBClTY6rawvF9BjIZVFSuzTdIWzpBCKqmYLsBuqrghiFZS0dTVYpZAzeIsJ1g2TyVbZez41XqjoehKxzsTZM04u95/rWZTkpy6Ty3XawrLZdK06fa9Kgu9Ms60JummDUWRXS60yieHzFRdbivmGai0qLW8gnDiIGsRco0OD/V4M2jcUNTVVVvOdoYRRFnxiucn6qTNGLzwbZdQdLQmK61eH26xpnrFb7zAauTLlvpupiqNak7Pv0Zg2+NV0gaKpVmXJ/Vl7Y6bTDa5/uth/u4Pt/klRsVSo0W/RmLfflU533d16dlaDx2uLfT3PZWHhjKtkfF9jjYm2bejlujtI9VURTyls7YnM3J4Y1FPW8Hu9FeQNgaIo4EYZvZrpqDWynybkd1JqutWDxkDDRVRVNhMJdgqtYiihTecX+R6ZrD24/105vS+OJzZylmrQ2Nqy0mLEPl4kSDhut1TBYBMpZBywuZs51Fab+RQpIH9+XQ1XjXmKWrFJIGCVOn6QWUbRdDjXexRcQ1JcbC/7wgoOFEhFHsjh0EGmZCJWFqWJpG2tQWzVMURYzN2TQ8n0LSoOnH4mellOTSeU5bGgld5ZvXK5havAsrlzDIWDoT5QYXSxHfdaJIFEVMVmKn63bnmv6sgaZrNNyA3EIEJQLyCWPhexQePtDTEQWbiTZ2L8BN1+f1qRphFNGTshb5OCmKQj5pUrFdLpRqPDraQyFlrH5d6AmuzMVRPccP4uOxdDRF4UbFjvvQ7c+RsQxmGg65pMHpwQyH+1MLzWTjyN/SguuNNLfd8PUWhhwbSPPyRNhlEhqL+9mGCxEcLu5Ml/jdai8gbA0RR4KwS7mVIu92VKeQNJgoNzG1ridpRem06RjtS6FrKvmUSSG19k6hpbTFxFzDZbbhkE/E4iMIY78eoghDV9mXSy5K+xVSBvt70lws1RjtTTHbcOM2GoZGzXa5Nt8EImYbHo4f9xrLWjr5lM5sLaTS9PGCKF64VZ+6E4uA+wbT7C+k4z5dC/PUcALmGi55S6fS8tiXT5G2tIVpWJySXDrP8RqvABEKKrYb0JeJRVTLV2h5Pi/fqNJwAtwwXgyHs+bC3Gg8ejBPywvxwhBdUUABP4xQFYV5OxYX3Wwk2rh0AW65Aecna4REGCuIWlNTgTja5vjhmtdFRLxrsdr0yFoGERFRBJapMagnOjVXR4pKR4wrisKh/jQPDOW4WKpRzFh0a6ONNrfdzPVm6Rqn9ucYm21yfd6mVHdoeQGaClnL4HLJZnAhSnmn2O32AsKtI+JIEHYpt1Lk3Y7qFJLmzQanale/s4VeXnXHu2VrgbaYeOlamWrTZT6EhuMTRLEACKKI+wez9KZNxivNTtqv+3jG5myKC3U5F0p1rsw0aDgeKVNHUyGXNEjoGnXHI2Pq+KmIlK/FvkFG3JVeUWIbgH35JG890nOzT1c2QcuP3bVbHmQT5rKt5N0pyaXznLZ0bM/nUF+aG9UWBKArCk0/JJsw8PyI6/NNjhQz7M/FW/wvz9YpAo4fi5FMYvmtteHEO+5WmvO1xMNKC/Bs3aHuxCm/fNKIo0dduEEIRKTM+PvWui5afkjTC0lZKpauUG2FdNqDLQjqmXoLXYWTIzdTV3fK+HCReO1Lc7CX+POTOqM9SZpeSF/GZLJq89z54I4Jkt3gii/cPqR6TRB2Me20y9FilmrL43rZ7vSfevL48kWg/ZStKdCbNqm0PKIo6rzu+SGaolCxPUYKqTVrNNpbxCcrLeYbbudz2ouirsKlmQbT1Vbnyd7xAxwvpN7ymK45ywRY9/EoCvSkdRzXxw1C0qaOoWnkk7Eb8758AkvXqLXixqwH+5Kc3J/ngX15jg5kGC4kSBgqUbR8nkr1Fl4Y0ZdOcGokt2wr+dKUZPfvz9seM3UHU9N45ECBf3pyiG8/XuTNoz2kTA1dU8gldQwtbq6atnQO9qaAWJxOVZuL5rw9l9O11rpzvtI56F6A46iZQjFr8eC+HH4YcmXGJorCRb9TabqoqsKxhcjNWtdF3OcuxNQ0EoZGb9qk6sSF7GEYEUQR0zWHlKkvEzubvT5vhfb1lk+aXJ5t8NpUHS8IGMomcMLYbf34YJbD/ZmFPoLVZfN/O9jMhglh7yGRI0HY5WymyLv7Kftgz80Gp/mEgakqTNdaWIbOUD6x5lP9enUUxazF/p4kPWmTesun6QVomkIxm6A/bdJwfc5NVHjng0PLxED38UxXY2+eXNJEUxRmbJcwCNFUhYi4lKbhBvSkTA71Z4hQaHlBbOaYT1LMWDRcn7LtLfrclhfwwpU5JqutTu1Pm9VSku3fP9yfgiiiJ2XGtTQLc1Rv+czbHilTI4jA0G6KvnZUytI1DE1bFkmZqjYxdI2BnNlJ5W0kmrDSAhxFEQ0noCdtMlxIMTbb4FKpsWi3WhCEPHywh1P78wsmlKtfF2oUO5enTJ19+SSjfSnmbI+5hkut5RGGEUO5BN+xiti5E8aHbRH25UuzfOt6JW7J4ocM5RKM9qY67UfupN/R7XbFF3YWEUeCsAfYaM1Gd6qj3HQ5UkwzXXWYqjaZb3pkLZ3Hj/TytjV2pm2kjsLQVBpuwDsfGOTcRJU52yVnxS7Kmgrugvnhgd6Vi2TbxxMvHAqWqVLMJCikTaZrDvWWRxBF+AFYmsZQPsEb9xcwNQ0vDDFUlbSlEUZwvWwvSt215+nbjvTx3PnSplM++aTBUC7J9bJNf1erFS8Mcb2Aph8wkE0SRdEy/x5LV3nscA/TVbdTYO14carNCuErl+cwtfKGC3aXLsBl22Vszmau4eIvFLWnEzooChPl5qo+R2tdF3O2S8rUGMjFgrmQstjfEwswNwi4UWlxcjjPfYOZNa+72y1GBnIJHjvUy9hcg2ImQULXSFvaovm/k4LkdrriCzuPiCNBuMtYugOqkNbJJjP0pxOc2h8vciuJgrLt4kc+L1yZo9x0OdxVR5GyNPoji8szNl++NMubR3twg5CMqaOrKvWmz8R8E0WJxcV9A1l60uay4uOlWLpKytSIIgXPDxfqNTRaCwXejZaH4/uk2s1mFQVDi4WRgkLL9VddgNbaCfbQcBZDUzu7zQopg1LN6bx3ruFyZabBRLnJQ8N5BnMJZusOF2caqAqoisLXxoKOQ3Peir/fWIiwPTScX4j6NHnh8hy6FjJ4CwW73QuwF4ScHa/S8Pw4EpgwqDsePa7ByeEsjxzspS9treqQvdZ1MdyT4OqczbztYSyk1xQl9onaV0h2IlA7TcLQKCRNkgs7D5dyJwXJ7XLFF3YHIo4E4S5kM6mOuO0E/L+zk5SdgPOTcX+zvrQZbwlvuozNNpltONiuz6WZOo1WwLVZm0szDeYaLl4QN5ZVFAjCuBbppLVy8XE3hZTBsYEMF0sN5m2HoVxsGpk0NKIoot5yMXSNedvl3HiVgAhdjf13DvYmmLe9NReglebB9QPOTdQWpQwzls5s3SUiYiCbYCCboCdl8I2rZf7x4gzFrEmt6ZOyNNKGzv58EjeMOg7NDw2lMYHhfLIzz4WUwYtXy/hhuEhobqZgt+MuPl2l1gpoeD4DmYX3RxFNL+D4YA5D12h5IceHVha+G7kujhZb22ZgervYTYLkThWkCzuDiCNBuEvZSKqj7ZhsAbmEgWEYXFIbzDZanLkeMtqXZGy2ScP1Oj5Bcw2X81MVvnJ5jrobLDQNVcgkVDw/AiKuzdmYmorj+cDqY1AUhVMjea7MNPjG1TLX5m36M1andqbe8skndUCh4QX0pU0g4vWpKucmKjx8oMBDw9k1F6D2PLTbZjz/Womm63OwL0XS0Gl6Pl+8OIfteLzj+ABpS6fSdJmpe6QMjbm6w8WWx0A2wenjRa7NtSg1HApJk/60yUSlxYvXXN5qwAPDNxfDrTicd7+v7S7+2nSZwWw8N64XUG66sSt1fwpdVTdca7PadbEXmqbuNkGy3a74wu5BxJEgrMF6zrd72Rm3vROq2nIpQpze8iBl6SR1lUrL4xtXHSKACKYXep35QYTdCmi4AUoY0XQDCqnYVFBVYj+itKnhBwFfvVzmex9OrhvN+N43DtObNvn62HyndqY3ZVLMmKQtg/2FJFfnbcbnbUp1l6Ybex5dnomjL8pCe5HVmK62OHO9wufOTzNZbTGQtfBDGO1LoqkqugqapnJ13kZRIs6O1zqu3/t7U7xyo4rjBbw+3WBfPoGhK9hOgB/F9U9hFPd/MzSlU4e0XQW7sbt4D+enanhhxGzDQVfVRa7UQRit+VlrXafdr5na7r92d5sg2QuiUtg8Io6EHWO3C4v1dmztdWfcdmSjmElAOf5Z2oq3ck9W41qc16fqJE0NVYGUoeMRkrU0pmpNojAiIvYk8gJwggCV2BfHMhRSlsG1+caGohkDuQTvfmSEdxwvdrrLGxr844VZckmDtKWjKBGlqkM+oXOoN4WuxT5HZycqzDbcVet32gXmNypNHC/gYG9qkfvzgb4kQRTRlzaZbbi0vHCR67fjh7h+3NT0tak4HXegkCRtmWQSGtWmz1TZATNOTY70xov0WgW7EbHIaXmx2/XSwu6ljBRSPLQvh6YpHdfwdt0VrF1rs9Z1Ciyqs2qnWPuzJn1pa9dez7tNkGxHQfpuvx/ea4g4EnaE3S4s1tuxdXIkt2r38r3ijHuzDYiOs/AzRVEY7V3Y6l1rMWd79CvQn7FouAFJQ6cva2K7AbWmj+OH9KdNDE0jXDCB1BWYb7oYukJItOGdQ4qi0Jux6EnH292vzduUmx7FnEVExNW5FkEUxh3hFYUwjLDdgH35RMffZmn9TrdP0L58golyk4SuoapKx/15sqyiKyoKYDs+TdenP32zJYftejScgIrtkE+ZBCFoqspktcnchEM6YdC7YPqYSxida+Adx/tXrI+pNF2uzNi8Pl2jkDL4/OslLs/Ya177hZTBSM9NI8SN1tqsdR1fnqkTRbFQSxgqs/V46z6Kgqoo9KasXX0934kdcneK3X4/vBcRcSTccXa75f56zreXZxv8zblJ0qbG4f7Mste7C22BXfs02I5sON5i8VJYqNt44YqP5weEkY7jhxRSJgNZC1VVMHUVS1OotGIn6mJWByWOWsRb1yPyCaPTU2yjdC8S5abL+ak6tZbPSE+S2YU6n7ZocYO4/5qpaQxktRVrbrrrfqKIxe7QC+7PDdcjbelMV1uoStxOw1gYcxSF3Ki0SFoqSUMnoWnUAh9NU4giqLZ8UBRODOTAiVOThxImV2YbnJuo8dBwdlF9jOMHvHi1zHTNYTBr8fCBHkxd4cx4mYulOu84XlxxN+Gt1NqsdR2Pmin+9pUSChHfeaLIuYk6Tc/nQE+KCJiuO5TqDqeGc4zN2XeF0/Nujczs9vvhvYqII+GOshcs99crpM1YOt+6XuGJI31rFtq+PlXn+nxz1z4Ntnf+XJouU1zyWj4ZNxMd7UvRmzLZV0gubO9WqLc8Wm5AzQmIwoix+SZeEFFIm+iqwnS9RTGdoJCMe6l1RzOWLlD5pE5lIQJVbXq8eG2eajMufi5mLGpNn4ulOnMNBzcIySeNzi6tqarDvnyClKkSoaxYc9Nd96MuuEO3U4aKomDoKoETMZizmCi3MNQ4KuR4AYqiUKo7BCE8MJij3PSYa3odH6c528HSVYIwoi9t0Q6/dV8Djxws8I7j/Xzl8hxX52wuTtexvYAH9+UY7YtdtS/ONJitu0zXKozNNjh9YoBTI/llTWcNTeXB4RyXSnUqtrdurc1a17HthoRRhBJFzNS9RcJTIW6UO9dwsd3wjhor3i52a2RmL9wP71VEHAl3lO3YwXO7Wa+QVlUUHD9AVVe+WSUMjcuz8a4oFraGb/Vp8HY89XaiEVUbANsNSFg3oxH9GYtHR3uYb3hUHR9Fib2ILs02qHs+6YROJqGhKCqT1RZztkvGMuhPxzuo9vem2N+TZKrqrLiF3vHCThd4U1e5MmPjBhFvOVTo1OgcH8zi+CGXZ+oLEa6IWiugbHvoGpi6ypmJKsWMtWLNzdK6n07KcMEdOooighBsJ+DRg4XO9vuxufga7VvY5TZUSJJLGrxeqqOrCtWWT8sLGcxaGJpKylp8rbSLrcfLTaarDmXbxXZ9qo7PSD7JaF8SYJFv0WhvikrL59x4hdn6zRqqpQu7oSoUkhZHBlKL2pHMN9xF18da13HsGRVBpND0AvwwxNBvilhTU+O2LWFILmHsaafn3RyZ2Qv3w3sVEUfCHWUvWO6v53wbRhGWrhGGK/dvaro+MzUXNavwwL7clp8Gb+dT70Auwdvv6+eFSai2PGaa/iKjxHMTNV66Nk8UwWzD4dqcTd0JONKXwQlCkoaGrsBEtcVswyWb0Dg5kqcva+F4EV++NIMXRjheQKnmkksaHOlP4/gBF6bi9NJA1uL4QBbHC3CDkLPjNU7tV8gnTQopk0N9KSYrTS6WGlycaZDQVYrZBIf70+QSJpOVJpdLdb7zxOCympulvjjtlOHYnL0QrWkxlEvw0EieUyN5ilmLUyMFnn+thO369GdMml5AveXR9EOO9Wc4UkwTAWd1laShEkTgeiEm0HAC0sl48XW8gBcuz+GHcfTF1DVulFs0XI8z16vomrLItyiMIjTXZ6irhuqhKOL512aWLexTtSYtP2Agm1hkXtl9fezvSa56HRuaShQpKETxOVRVPD/EWvi7bKcsDVXd007Puz0ysxfuh/cqIo6EO8pesNxfz2iu7vgcLaapOx7FaHkB8NhcHIk52Le8dcZmnwbvxFNvcaE26umTQwRoiyJTiqLELSdsh3wyTcP12ZePDRqLiQQnh7PoqoYbBozPtbg628AJIr4+No8fRoz2pjjan2Gq0uLqnM3+QhKvJ8n1+RZ+GHJiMMN0w+Vq2UZRFEbySUoNh7HZJqf2G1SbHmOzTdKmRl/axPNDEqaGoUKp5i4s8hERCiutbSvV6mQTBkf70+iqwuFimnfct7jO5/hQXNh8drzK+LxNFMFUzeH4QJbRvriPV0TEbN3lxWvzFJImr07VeLMGX782TyGVQCFCURV07aYBZBTdtEmYrreoNgOODdy8vjw/RFdVTH2hhmrept7y11zY//HCDK4fUl3wYeq+Pkq1FhlLZ7rWWnYdp0wVVYnnrD9j0Je2uFGxGdQTRECl5TGUi1OWY3P2nnV63u2Rmb1wP7xXEXEk3FF2k8Ptaqy0oFqGylzDZbLi0Js2eNuDg5ybqK1YHJuydIpA0lj5z2ujT4N3+qm3kDIxjOVNYtueMq/cqGC7AamMTjGT7HjsAFSaIfO2S831Sbk6CUOlJ2ky3/R48VoZ1w843Jei0vI4P1Wj4fgUkiaKqpJPGJRtF4gjFgld49pcg4GsyVTVoeF6pCwdVVU4XMzgBxEtP2Cu4RJFEaf2FxjImtQdf8VFbjVfnFMjhVWjbwO5BE9mTMZmbQ70JTk3XkVX44hLEEa0vICmF9ByA8q49KfjNJmmwMs3qqQtjf09KQa7FuVum4S0oXN9vkUn+BhFlJsu+/KpuGdcCFfn4g73+3tWFtnFjMk/XpyhkLJ4cF+W1MLW/u7roy9tkUsaK16n9w9miCK4OtekmDUo2zrX5m1QFPIJg2LGYmzO3tNOz7s9MrMX7of3KiKOhDvKbnO4XY3uBfXVySpX52zqjk/G0kgYClNVl5MjOSYrzjIjuv09Sb5yeXbZ02BE3Myz0nTxg2hdw73d8tTb3a0+AhK6Si5poqkqsdMRjM02qTRd8kkDxw/oTVlYhoZlaIzNxTvPhnIJCkmTmbpLFIWdTuqmpsb9ylSFV6ZqqEDN8XH9aMGI0eDKrE2t6VM2HHQt/twjaRNNVTjSnyZl6osa0K52DBut21qaylQUBdsLGC/bWAupRE1RuG8wS9rUcTwXNAgieHBfDtv1mWs4WHq+85ndNgmzjRZBGNJwfTRF6bhdj/Yl455xno+qKoTRygt7peny8kSNcxNVDvamsF2fvrTVEazt66Pa8njr4b7OxoClRdxw0+eoL2MSRvH57M0YKAqrFnvv1M6vzX7vbo/M7JX74b2IiCPhjrPbHG5XYyCX4KEoYmy2QTFr8oaRPL0LneS7vWweOVhYdLMGuD7fXPQ02O5PNlNvMV1zGMolePFqmVP786se72566lUUpdP89ex4hVxSx9A0+tIWfRmTmXorjjgk42ao8Vb42OPIWjBrrLoeuURc4KygdGpc3CDEDyICL8LxAwghaWiYusKFUovLMw0yCZ2elEHaNEBRsF0fPwjJJnT8hUjOeovcRn1xVktlTtVaGKrK0YEM4/M24+Umhh6npoyF4vwTgxkG8ilKdZcvXpxlruEuOr/tmqfzkzBZdZgst9B6lEVu1+2IwYGeJGXbXbawV5ouZ65XmajYGKrCUC6BoakdU8tT+3Pkk2bn+sglDU4PZlYVFd2isS3Y3SBaVXx0C0fHDwjCaN2mxtvBrdTe7YXIzF65H95riDgSdoTd5nC7ElEUcW6ihh+GvGGk0BmbrqmdtMW5iRqnTxSXjbv7aTBhqLw+1aDSdEFRGM4nOTaQ4dJMfU1n59301DtdbfH8azNEEfSkTLwgRNNhvNxgbLbBnO1wuC/DaF+a16ZqVJoulaYf73gKYsPI85MN7huISJs6KVOn3HQY0CwqTRc3jI0ITw7leH2mjqHGppJhGBFFMJi1SBg6laZHPmmQ1wxmF9JqmsK2LXJrpTIPm2nOjFf43KvTZBIahqaQtXSmqg7lRpNHh+Gla2X21QNGCgkyls6NapPikrRn2ybh+94wQtP3ablBp89bw/E7EYO3Hu7l3ERt0cIeETE226TuuCQMnZ6F6JllaB1Ty3a9Vvf1sZYw3IyZYrdwtHSNcsNnqtrkheY8X7hQ4juOF3nbsf5tX9BvtfZur0Rm9sL98F5DxJGwY+x2h9utpLXaT4PtxTTu55WgL2My2rtQ1BtFa9YN7Zan3m7BcGokT6XpMTYXt5vQFJVyy0FTFI4W0wwXElyda/DNaxVMTSFjGZiaSm8qwvV8vnG1wpsPFTg2kOalax6vTtUpJA0MRSVlaDS8gGPFLEeLaYIQZuoOTccnCGNR0fICKk2PtKkRhSFeANfmmwzlE4tsA251YVnrnEMsSG9Umry92M/4fJMrMzZBFNK7kCK0nYAbZZtSrUVv2qA3Za24KBfSFk8ej92l2hGD2Ya7LGLQLohvf4YfRkxUmngh9KQM+jMmVcfveFAVkiazDYd6y2em7mzr9dF9HRSSJucmFmwIUibFjMV4pcmXLs3hBiGn7x/YNoG01dq7vRKZ2e33w3sNEUeCsApbTWsN5BI8oipcmK5x30CGfNKM+2Et3MDXE1i75al3qWAopEzySYOGE+CFIa4f8PJElXLTY18hARHxbq2F7em269OTMTE0hemqQ9MJqTs+B3pTDOQsXD/kQqlOwlrcTHXedunLWFQ0lbLtMlJIcqA33tY/XXdQFQVTUSCKcL2Qr1yaxQ23ZnWw1jlvOAH1VkDS1DA0FS+Ii6j3F5K0g3etIGAwqTM222QgZ/FPTg7y8o36movyWhGDZQt73aXheBztz3KoPzaRPDte7fg26Wqccrw8Y7O/N7mt18fNXnwWF2cai2wIAAayCRquz1Slta0bBbaj9k4iM8JmEXEkCKvQndZKWVosBoKw0/RzI2ktN4jQNZWhfBJtBdPIjQis7XzqXamgdb33XpuPF572ln9YcApf6CcWhBEDOZeUqfPqjRqVls/RgWynkamuQcYyGOlJ8pZDfbT8gLcvpF7ySZ2xWZvPnJ2kJxWnm9rNVHVVwdRUMpaOH8T1SAERfRmL/oxF0/eZrXmcu1FBVVQO9qY5NpDG0rVbtjpYK5XphSFNzydharFpoqZSSJlUWj5562brlOmqy2DWwtJVLEPn9IniijU98w23s0CvFTHoXtinqy1SpspgNkEmEZ+7tm/TXMPFdny8MOLYQJpvO9K3rVGRtnAMIphruOQTi8VF2208nzK2daPAdtXeSWRG2AwijgRhFdpprW9eLxOGEXO2ix/GXjS9KRNVVXjj/sKaAmM76oa266l3tYLWE4OpNd/b3ePs/qFMZ/t+9zH0pk3eeriPM+MVXpmskjEN+jMWo70phvIJ+tJWvEU9guvleHt4e6E61J/mgaEcF0s1ihkLFCjbLmNzNqWaw0SlyXA+SW/aYiifQNdULk7XKDd8koZK2jLoSRnM2w4vT4Sc2p/jUN+tWR10pzJHzRS2G3YEsaaC7QUUswkMTcPQFQ73p5mpu7ScuHdIGMG+fIL7BrLU3Ph8tRfl6WqLl65VbsnMs/0ZhZTBeLnFxVKNtKUviuTVHZ9LM3XuK+b4Z28YQlW3txatfS3XWx5+EGImFl/3bZ+mjGVQbrrbtlFgN9XeCfcOIo4EYRUURWEob/HXZ2zmbI+RQoJs0sR2fV6+UaU3ZfDUQ4NrLrzbVTfUXhzb0ZzN1tasWdBatbG63jtVafKZM5PM2Q77ckmO9Wc6Pc4cL+ANB/IdgdR9DPcNZuhf2LmW0LVlaUSAlusvW8iWpg8tXePCdJ1KyyNhaBTTJpahMV13aPkBUQQ3Ki2KWQvPD+lJxzuzEoa2qCD5VqwOFEVZcAYv8xffvIGigKUrgIpCXOcTp9WU2LBRUznUl8J1DYimOTmS582Hemh6IU5w8zhXm/8L01XGZhs8drin0wpkrfO5Vqp1pu5woDfNtx3tRVXVbd9u376Wz4yX0dSuBr6wyKdJU9lWsbJbau+EewsRR4KwClEUMVlx2FdIMpRPMme7zNsuuqby4L4cigKTFYcH9kWrLjpLF7NixiKIoN7yKDc9hvKJDdeF3GobkfUKWsdmqhQX3jdVafJHX7nK2fEKKUvnRrnFvnySoVwCxw+5Pt/EMjQeHS3geOGy2qdCymBfLsXrpSq55OKGs92RjXxy8a2nU8B+vcLnzrcL2C1Ge9P0pHTmbZ+Zeoursza2F/Dw/jxD+SSvTdUwNbU92Z2C5IYTkLwFq4PpaosvXpzl3ESVyUoLRYGUuWAjYOkMZhPkEjqlukPa1JlttOhJmtRdHww4PpBFUZRFC/Zq8+8FIbVWwGvTZc5P1XhoX46RnvXP50ZSrbej5Uz7Wi7VWkyUm5TqPsP5BP5C7VXaMjjYG7cz2U6xsltq74R7CxFHgrAK7ULQo8UMKVPrFCAbalxzZLvBhiIT7cXsC6/P8LWxeWYbDkTQl7E42Ls8pbUSW2kjsl5BazGTgDJcnG7w7PkSX3h9BkMFxw+IgBvVFiP5BCeGcli6ykSlSXZKp5AyVlyQr5dtLs/YvDZVZ7Q3xUAmwXS9xdicjaGpJA2d587PLFuoB3IJHjmocKFU577BrgJ2FPb3RjScNNcKNi9dm+f+oRy6qqJrjUURDENX8R0vbqzK5iIY09UWnzs/zdfHyli6yuNHeqm7AfMNj0xC59EDBSotj56UST5l4Ac1JipNrpWbHO6xIIgdtK/MNhYt2PMNd9n8l22303R2MGvhhRGapmy4VmqtVOvtbDkzkEtw+sQAhqby+ddLvD5dp5AyGcomGcybzNvehsVKd2RLI1j3e/fCjjPh7kHEkSCsQnchqKIopC2NhhMX5jYcSBhxamGjkQkvDBnIWtw3mCFjGWgqlGoOz50vrbpgRVFcuPv512eYrDQ5sS+LqsSL/Ua3Mq9X0GoZKg7w5UuzfPNaBT8M6UnHhdFuEBchXyo1yCQMHhvtIZus847jRQ70pFZckEcKSfozJhemG7w2VeXLl+boTRscH8ytWzAdF7ArDOUWF7ArKGQsneF8kpfHKzQcn+FCstOOo+3l06570VVlU+mWdnRnqtJCVyGfTaBpGvmkRi5hMF13uFZucrQ/Tc3xefL+Io8e7GG8bHNp2qbcsGE2bt67dMFeOv/t/nvt3V4RcVNfQ1M3VSu1UoHxnWg5M5BL8M8fHeHkSJ4z4xVm6g66qgDKhsXKssiWEpEj/nsY7l35fMmOM+FOIuJI2BPsRLuC7kJQLwg7O4L8hY7laVOjkDLWjUy0F6xq0+OBfYufqNOmvuqC1V5AXp+u8tK1MmnLwA9Z1NNsI1uZ1ytodbxY3J2fqmJqCilTZ67h4vohIaACXhjxyo0qR/vTFJImB3pSne9aaUFOWzqPHTIIo5BXJ2vcN5DlzYcKHWG32kK93lg1NY64lZsew4Vkpx3HdN0hb+nMN1360glKdafjRr2R66QdXcunDMYrzQWHbzpznE8YzDXi43ODEDeIGMpb9KRNHhrOM1O1+eJz53j65BD9ucW90JYeU8MJFu32cr0AXVUxNHXLbWHuVMsZRVE4PhTXmW3273LFyJYT99b7wuszPPmAvqq4kh1nwp1CyvuFXc90tcXnXi3xl9+a4K/OTPCX35rgc6+WmK62buv33iwErXNmvMJktUXSiFtmJHWVi6UGpZqL66+dEtjMgtWmvYBcLNVI6BoZ0yCf0LlRsTlzPRYibRILLThWi2C1j2O61iKKokWvRVFEqR7PY73lk08Z2G7AfMNdSIFpGLpGFEWMzzc5d6PaKRxe7/gabkjTCznSn8b2Amzn5vhWO+51x1pzeNNoD0O5BFdmGxgL9V89SYNr5SaOH1FIGRwrZnny+MbTR+3oTsYy0FUVb8lcmpqKH4TUW96KBeXtPnGFlLmqmWf7mLwwjHd7aWqnkLm9mw/WP58bOY61tr3f6mevRFusDOUT9KSXH/tSlgrptKWjqXFrGoBqK043Lj33gnCnkciRsKtZr37i7Ud7btt3t3cuff71EtfnmxzuS2Hq8cJZaXns70mSSxqcm6h13IxXinBt1qdl6QLScAJMI44qDGYXt4iIm5SuvZV53YLWpAnl+L1zdY+EoUIUN5C1dL2z+6hse9iez0PD2UWL4GrH5wUhfhiSXTB09MLFC/JK/jQbKb5927F+gEVpmf09SU4OFzgykNrQrq+ltKM7mgp9aYsbFZtBPQFK25coRFNVyk2PUyOL7Rvicx6L1bLt0p/TF3330mNKmzqaolJ3PJpesKjhLGxta/pu3/a+ngN5MXNnmikLwnqIOBJ2LRupn3hlorrt39ktbgxNpZi1MDSVhutTc3109aaTs66qnZt53JR1+Q6h/T3JTS1YSxeQtKXdrK3JWIt2ZKVNbUO1NWsVtJ4YTPHCDcgkdF6ejAVJLmlQaXrYrk/Lj2i6If0Zk5F8ClNfLIJWW5ANTUVXVWzXR9dUjCW+O6st1Bstvt3O+pPu7eIHexNUmx5TtRaFpImuKZTqDgldXba7sFM7M1cjB/y/s5OM9C6vu+k+puvzDUJCpmse9w3ETtcrWSPcym6v3b7tfSP1b27TvyPNlAVhLUQcCbuWjaSjJipNctv0fSttf06ZOm4Q8OhogZYXLnLIVlAIwoiZhsN4ucnLE9UVI1ylWouMpTNda21owVq6gCiKsqi2JmvFY6o0XUq1cMO7g1YraPV9H4D7B3N8c6KO7fhkknHfrqarU3c8EnrEwwcK9KbNZQvXagty2tLoTZm8fKPKg/tynbTRase9kbEujchsV3ShO7ozb7scHUgxVXGZrLUo2y5ZS+eth/t4+303m6ouimqm42PIJYxVi81vHlOBR0d7eeHyHN6CqWgQRtuyNX23b3vfSP2bGDoKuwERR8KuZSPpqNlge54wV0vfjc02GJux6U1ZDBeSy36v5QUYqsKlUn3NCFdf2iKXNDa0YK20gLSLi8fmbCbLTeqOT8sLuW9gc1uZ1xIU33akj6+OlZmzXRotL04pRRGWoXKkmOLoQBpQli1cay3IqqrQmzJQFLDdYFML9Wq7sW5XYf7SiFVP2iCb1OnPWJwayXPfYKbzXUujmoQBNpAyNQ4lzFWL7NvH1JM2Gchat2Vr+p3e9r6Zc7JWZAugVG9xZGBt13lBuBOIOBJ2LRupnzC0rT9hrpW+O7Evy/Vyi3MTFYZy8ULX9jvSVYVSrcVQLkXFdteMcFVbHm893Mf1+ea6C9ZqC0ghZZJL6Oiqwv5CitMnihsqgt0oRwfSvPOhIb54cZYwDHHDCEtT2ZdPMtqXZN721oz0rLQgv3F/gaceGmSy4jBetinVWwRhRH86wan9+UX92tZjutrizPUKF0o1bDcgZWocK2Y5tT9/Swv+Sov6RreLL41qdpcP74ZmqHdq2/tmzSZXFdJuvKkhlxRDR2F3IOJI2LVspH7iSG+S+szWvmet9J2qqJwayfKNsTIvjM2jAPVWQNPzsb2A4UKSE/tylBqtdQuuc0mD0xvY+rxeamRfIcm3H++nN7NxYbERFEXhbcf6cYOQqUqLfMpY5Me0XqRnrQX5gX0Rr0/VO7445abLVy7Pcm3e5kBPilzSWHMBn662+IuXJnh9ukYYRoACRFwqNbg80+D7Hh7elEBab1FfL123G5qhrhexud3b3m/VbHJFIb3gc9RuSCwIO42II2HXspH6iQeGc7xwcWvfs95CN5BN0p9tUrE9qi2PpKmRMDWK2QRJU+PidAPHCzdUcL3RBWs7UiNtA8lSzQUiillr3UjTQC7B6fsHFjWd3cz3rnZ8pZrDS9fKVJouQ7n4PE7XmvzNuSk8P2C0P0Vf2lox6hBFEV94fYaXrs2TNDXyKRNTiw04K02Xl67N05s2+eePjmy4DctWHaR3elfY7WgPshZLhVg+qW/JbHKpkNYI+OJzZzcVSdzIOMUkUrhVRBztEuSPemXWEwk9yZUFzWZYb6Frej5NN2C4J8njvX34YdQpyiaCyzN1HD9gqtbi8DbuENpKamS62uILr8/wjauL25W8abSHt63zdL7dKZmV0paVpsvFaZswDAgB34espa8oUOYbLt+4Oo+mqYuiewlVw9ITXC83+cbVeZ68v7huNG27HKSXRjWXfsetnvON3AduR3uQtb53JSGWTxpcn7cZKaRWjHxuJK3YLaQ9z1vxPZvhTgtG4e5GxNEuoFRzeHVqXv6oV2GtxXo7bqrrpe+uztoAHOpNkUksWewUGMwlGS/bGKq67TuEbiU10k5BvXQtFhT78kkUYKbu8LevTDPXcPneN66dhtrOlMzy+pyIsdkmDddjKJek5YfMN10gs2L7jFLNZbbhxMexwkLclza5UWlSqrnriqPtcpBeFtVc2K1muwHTjZvnHGJxt5rY6RYl1abHtXmbiXJz1fvA7WgPspaoAFYUYhemG1yaqdOfTpBeYco3mlbcLm5nPznh3kTE0S7gC6/PUHEC+aNeg9tZP7Fe+i5l6vRnI5Lmyn8uCUPDMjQeO9zLdNXZ0caYURRx5nqF16drJE1tkQg40KMxWW1yfqrOofEK37mF/lqbYWnasuEEzDYcCkkTFAVTU6m1PLwwRFH0FQRKBBGsNlKF+C2wvqvydtUKwZKo5oLPUXdvNYDPvVpa9aGnW5TMNhzGZmwMXePUSJb9hdSK94Htbg+ylqgo1VqYurqiEDvcn+K1qSoXSjUeS/cuG8udNJu8E/3khHsPEUc7SNsiv9pyOdSfkz/qHWSt9N3+niRfuTy7bn3JSCHJQ8O5HU2Plm2PC6W4aDm/tJWFotCTsphvelyYrvPowZ5FC2i7Rmm7x740bdl2zjb0ONriLvSqa5tELhUoxaxFX8Zipu5woEfruFYvDJqZukNfxlq3XiWKIppubIEw23AoZq2OK3WbzS7q7ajmTDXNF5872+mt1m4ovFok4+RIrrOgFzMWUxWHEAjDgIvTNilTJ580l90HusVdRBTvnOzy3tqMuFtPVLx8o0qp5vDmQz3LroNMQudgb5qxuQYP7MuRTSx2DL+TZpN3qp+ccG+xZ5y2fumXfoknnniCVCpFoVBY8T1Xr17lXe96F6lUioGBAX7yJ3+yY3DX5rnnnuPRRx/FsiyOHTvGpz71qds/+FWoNOOUUDGz8Z5bwu1jIJfg9Iki/+wNw7zr1DD/7A3DnD5R5L7BzJr9vqZrrUUtKzbTa2q7cfwQ2w2AOCKzFENXUZQI2w2WLaCff23mtvSvW9pbrO2c7fkhURRRaXn0ps2OSeRSgdKTNnnTaA9+CJPVJo4XEEYRjhcwWW3ih/Cm0Z41F752f77Pv17i2lyDf3itxLeuVRb1qFt6LjfK0t5qwIr9w9KWzqG+NOWmy9+cm6RsO7FHEgrzCyJpKJek4XqMzTaJiJbdB9pCc7rW5Mz1Ki9cmeNrY3O8cGWOM9erTNeaGxZ364mKQtJgtu6wkpWYgsKxgTSGpnJppk7D8QnCiIbjc2W2cUfNJu90Pznh3mDPiCPXdXnmmWd4//vfv+LrQRDwrne9C9d1+eIXv8gf/uEf8qlPfYqf//mf77zn8uXLvOtd7+L06dO89NJLfOhDH+Lf/tt/y9/8zd/cqcNYhOPHC61lrHwa5I/6zrOSuGmn3fLJ2NxvJxeC9bB0daGJZ4S7wqoWC5K40Wd7AS3VHAAuz9bJJQz2F1Idp+fnzm9dIC2dP4joSZpM11pM11qkDZ3R3riwdyWB0rYYePRgAVXVmG96lOot5pseqqrx6MECbzvWv+r8t1NHF6ar6KrK0f4sKVPj3ESFr12ZZ67hbOpctiNsk5UW8w13mWBeT3RkLJ2LpQYZa6FurrsRraIsag8Di+8DhZRBxtL58qV5JsoNUguNkFOGxkS5wZcvzZOx9A2Ju/VERSZhgAJ1Z+WHM0vXeHBfjvuKOaotj+tlu5NW3EzT363SHZlciZ3uJyfsTfZMWu0XfuEXAFaN9Hz2s5/l5Zdf5m//9m8ZHBzk4Ycf5hd/8Rf5qZ/6KT72sY9hmiaf+MQnOHz4ML/xG78BwAMPPMAXvvAFPv7xj/PUU0/dqUPpYOnxjdPxQvQVzoT8Ue8eilmLhw8UODNeYbLaQlcVTP3O1xStR7sj/aVSg0rTxdK7FugoYt52UFWNYwMZCimDKIo6/ekO9qZQtfhC3O7Ubmf+rleYqrbQNVAVBVVROFJMk00YNBx/1QL2gVyC733jMIfGK1yYrt80gRzIcGpkdRPIduro+rxNFMHYXBM/CCGClKlzo9IkugoP7ctt6FyuVrx8YjDVec96okNVFBw/QFGg3vI7Ytv1AxKmjqGr+E7cqw+W3weiCBQiFEXtlFpFxMJLIWSjDe3X26WpKXET3ortMZyPVtyFeWIox5P391NZ6Ie2E6nk3d5PTtib7BlxtB5f+tKXOHXqFIODg52fPfXUU7z//e/n3LlzPPLII3zpS1/iu7/7uxf93lNPPcWHPvShVT/XcRwcx+n8u1qNFxLP87a8Uyq1MPsztQZJU11U/xARUaraHO7LkDa2Z6vrRomiiErTw/EjLF0hn9y9tgLtedns/GzmGEs1h1cmqkxUmrhBgBJFFKwEDw7nODqQ3rZdc9vFA0NprpRSfOt6mRvlgN6UiQLMNhz8EB4+kOGBwTS+71O2XSbm63F/ujAkYnEaeiBtMD5XY6aa7qSMNkv3/HlBiBJFHCgkeGw0T9MJuFFtMT5Xw9BUjvQmeWA4tmhYOqc9SY1vP9rDG4Yzy86b67orns+y7XL+xhxztRZ+FJGzdExLxw3C2LNK0+lLqjx+uMDBvtSa57JUc/jC6zNUWy7FTALL0HG8kEvTZWbKNSzi61AjwlQiWo67EMVbTBj46FHI+Rtlggh8P6DccCjVbI72ZzBUBVMFQ4kIA2/RfWCmatNoObxltMBMw2He9rBbYbwrMWfSn7ZotBxmqva65yttwHDW5PJsnWRvatn9Z6Zm8+j+HF4YMjZTXThmFccLKdVb5JMmJwZTBEFAxlTILBzr0lKGjXCrf8dtTgymmKnaa47zVsa1l9jqHN4LbGZulGhpTHiX86lPfYoPfehDlMvlRT//kR/5EcbGxhalyGzbJp1O85nPfIZ/8k/+CcePH+eHfuiH+Omf/unOez7zmc/wrne9C9u2SSaX98762Mc+1oladfPHf/zHpFKpZT8XBEEQBGH3Yds23//930+lUiGXW7tl+Y5Gjj7ykY/wK7/yK2u+55VXXuHEiRN3aETL+emf/mk+/OEPd/5drVY5cOAA73znO9ed3PXwPI9nn32WRx9/B69N250na0NTGc7HT9BbdYzdDMufjG8+feUSJm+/r/+OjmcjtOfwe77nezCM9cPmmznGKIr4/GszXJ6tc3CFJ+urc/ET/bcfX73eZSXWilpt9LVa02N83uZGtbXqNdP20Jmpxw7Z/RlrWcqjbLv8v2+Nk5t7heShR1DUxZEO2w2otjyePjm06cjR0vmLPy/EC+K+dDMNhyO3MH/drHQ+W27A1fl4x9eRviSf/uYNetMmuaUeVcRb7+dtjw+ePsZof3qFb4gp2y7/7+wkuYRBytSotjyuzjWZs12CMIQw5K3mdY4+/AT3DxdWvc6m6y0myw6aCl4Q0fR88gkDQ1ep2C6vTNZImBqPjfbSmzaXndOl41jKrZyvpZG91a6l2xlN3uzf8Wrspaj3drNdc3g30878bIQdFUc/8RM/wXvf+94133PkyJENfdbQ0BBf/epXF/1samqq81r7/9s/635PLpdbMWoEYFkWlrVcEBiGsW0X4FBPmv3F/I5uAY+iiFen5qk4wSJbAV2H1EKX8VenbPb1LO+kvRvYyPnY7DHO1R0uzNokdAPbU0hbWud3FKCYSzNRc2l40JPe2LWwnuHeRl6ba7hcmWlg6ioPDecZ6U3T8gIuzTWZbQaLvLEGTJOBwuqLfn9OZ7gnQ30OUFUU7eYtIYoiphtxvUZ/brkT8nrMN1wmai7FXJqaGzI221xI7YXoqkra1PFCm0cPb3z+uuk+n6P9WWw3ZLziMFltLdQv1Xn5Rp35ZoCPRyZhLbMBqLkhScsknbTWvH4CAtxIIWGZVB2PMxMNGq5HIWli6Cqe60EEX75SZqAny3Bvhicf0G+ez6aPqakM5tN4ocJIIYUfds2J66OrOo+M9pMwNJ4+tY+BXGLZfaA/pzPSm43raxLm8vqaWzhfw70G+3rSC61mHEChmDWX7bYsmrd/G/x23FfvxDh3M9u5Nt1tbGZedlQcFYtFisXitnzW448/zi/90i8xPT3NwMAAAM8++yy5XI4HH3yw857PfOYzi37v2Wef5fHHH9+WMWyF290kcj3uRq+QpS0Roija8DF6QcjnX5/hpWtlMqaBaaj0pk1Ge1OdJ/LNugCvZbh3eaZOFMURqbVeK2YXPHGiiDCKG6+mTI1CarknznqLY3t+ijmTOjA222Agn9k2d+92YbLjB7w8UesSEwaeHzLbaDFRaTJetm/pmmpfswlD5ex4jevzNtfmG/hBXABezJo0WgFhBDM1F1VpsC+XjMWMH8Z943SNAz2pVYun27SLl5ue33H3HswmOmJLifvgYrt+Z/5XcnZveQGlukPC0NBUnVP7jUVeRQlDZbzcJJ8yV5yTjfQbvJXzVao50npDELrYMwXZV69eZW5ujqtXrxIEAS+99BIAx44dI5PJ8M53vpMHH3yQH/iBH+BXf/VXmZyc5Od+7uf4wAc+0In8/OiP/ii//du/zX/8j/+Rf/Nv/g1///d/z5/+6Z/yV3/1Vzt4ZLuD7XQO3g2sFKFJGTpzjViYrET7GMfLNi9P1JisNElbBrmEjqIoTFZb1Jo+J0dyFFLmpnYTrmW4N2qm+NtXSihEfNeJAdQFM8SVXrO9uNXGQDaBqatM1x3G5uxO+mCjIrZ7fjzPow9ouAHjZRvL0LbF3dvSVUxV5cJ0Y5mYsAyNnqTJtXKTS9M2Dw3nN72gO37IXMNltu5iux4Nx8dQVQoJncbCbq+spXN8IMPrM3WIFBquT+BE6KrKUC6JqiqcGMqtu5OpvSPq7HiZmXqr4+4N8bmtOj4YcLAntWj+lz70zDfcRTvEFOKt/W0ajr/uNbUdTYm7kdYbMdLfUuhmz4ijn//5n+cP//APO/9+5JFHAPjc5z7Hk08+iaZp/OVf/iXvf//7efzxx0mn07znPe/hP//n/9z5ncOHD/NXf/VX/Pt//+/5zd/8Tfbv38///J//c0e28e82drrL+Hay2s3+ymyDKzMNetMG+/LLi+lbXoCpqlyatqk0XU7sy+KHcKNiM5hNYGWsjhjJJfRNbRFeKzJnuyFhFKFEEbYbkkmoq77mhTfdpRVFIZ8wmGu4NJyATELfkIhdOj9WWseZj8WYruk8driXkUJyy4tDIWWQTxn848UZ9heSi1JaURRRcXxGe1OUm84tRSRNTaFUc6i1PPozFqWaSyZhYGgqpq4yU3eIoog3jfbQ8kPmbJcj/WkyCYMwiqg7PoUNRlraEZuLpTrTNYeDvRphGHtJVVoeWSP+m0mYGrMtd9X5365t59vVHFhab8RI01phKXtGHH3qU59a1816dHR0WdpsKU8++SQvvvjiNo7s7uBu8QpZ62b/wFCWiXKTM+M1BnMJVEVd9HvTtRaDuQRl22EgG78+2pek2vSYqsXRgqylM1luoqsK+wrJDacw1orMeUGIokQQxYaAa73W7S7djvC0+5LB+iJ2pfmJgniL82hvirF5h+mqw0PDWze1VBSFI8UMuqZSbnoUFvqotQVF2tA5VsxSc72tRSQVBT+MCKIITV2I5iz8HCCXNHjkYIFvXC3j+CGKG0dnjm0y0jKQS/CO40XGZhtUmx5zoYsC9GcsjhdTMBl7lq02/+3IxEDOZGxW5fJMncFc8pbTYtuRir8b0+mbRSJnwkrsGXEk3F5uVy3DnWatm72qxgXML16d59UbNUb70liGylzDZbLi0Js2ONyf5qtXnI6IySdNTu3PdQpn3SCg7vjsL6T49uP9G75pLo3MRdFCX6wwxPVDwhBUok5/sTaGphJFCsrCa2krdkS+UbEZ1BOL+pJtRMSuuRiy/YvhSCHJg/uylG2PhhtQa3nomspQLsFobwpDU3GCW4tIukFEf9ZEVeL2G2EY4fshKAq255MyNbIJHT+MsHSNh/blePt9/SRN/ZYjLfcNZnjkQIHPXygRWzFGNFyfa2Wbo0Cp3uLIQGHZ/C+NTDheXIu1nWnMW+FuS6dvFomcCash4kjosJ21DDuVv1/vZj+YSzDan2KkJ8V4ucnVOZu645OxNBKGwuWSjeOFi9KLsUCKC2crTZeWF3L6RJHezMZtDbojcwXf5Op8vOvMD0I0VWGq2qI3ZZIyF4uElKmiKgqKEv+3gtKJZk1Wm3ghHCikgGhD7S9u92K49LznkzonhvJcmK7yQDaBH94UeQBXZhu3HJG0dJW+tEVvymK61qJqx21FckmDnlS8dV9RQFeVjmg8tLBdv2x7TFWdTV+bpZpDuenhBaCrsT1CBFyfb3I0efMho/vzVotMTNVaGKq6bWnMW+FuSqffChI5E1ZDxJGwiO2oZdjJ/P1GbvZ9aYuTwzmqTY9i1uQNI3l60yaOHzJZtSnVYnFwsiu1pKCQNjVKtZD7BrJr3ihXE4YnR3JcKtV5/rVpNE2lL22SWKiNSegaYQRnJ6ocLS7eMXb/YGah9UV8E89YBkcHUpwZD1DDAF2HmuNvSMS2i6RnGw6GpmJoKin9pg/sVhbD1c77UN5ipm4xU3c64sB2tx6R7BacbxjJU8wkODtRxvUj+jMG5aZHXzpBqe50aou2siurHWUIo4jT9/dzda7VsSZIL3gO9abMRV5ga0UmDi9EJrYrjXkr3C3p9FvlXo+cCasj4khYxlZqGe5U/r4tQBott/Nv2NjN/kgxw/X5Jn4Y8oaRwk2/I03lcH+GuhNQbXpcnm0wuMn04lrCsJi16MuYpCwDXYWG66OrKqN9GQ72Jrg23wIiKk2XmUa0KGoHLIvoPfXQIAd6UuSSxoZFrOsHzDQczk/WyCV1DE2jP6VzhNgqYLrm3NJiuN55PzmSY7LibMvuqjbdqeC2cHxstI8LpRpjczaGpnZ6zbXncCvXZneUIW3p5FPmzW34SgTXx6g7/qIow26PTNwt6fRb5V6PnAmrI+JI2DbuVP5+pW3on39thlMHexnIJeIIQb3FKzeq5FMGGctAU+OUSD5lcqAnxVcuz666YB0tZhgv2wzlElSa3oYX8/UEwsMHCtQdnyeO9gJKx9smbWkoKBiaRrXprVoXsx0RvedfmyGKoCdl4gUhmh7vxjtiwcs3agz3Zja9GG7kvE9WnNvSoHRpKtgNQvb3JDk5XODIQIqRQqoj9D73amlT12YURQvGiLHDeBRFuP7NKEP3Nvwo8LGJC+i7owx7ITKx3dYAe4l7PXImrI6II2HbuBNPyattQ788W++4QwMYqsp0zeGVySpE0JexeNNoD2871k8Yse6CZRkajx3qJWFoG1rMNyIQzoxXcPyAASPR2VW19HtnGg5JU2cov3xB2kpEr3t8p0byVJoeY3Nx3ZPW2bUX8Y77Nl5k3maj573S9G9LdGQjqeD5hrupa3O62uILr8/wjavzzDYciCBj6YSAqSsrWkFAXEDfNhwt2x4V28NfaBOSsZYvsLslMrFd1gB7jXs9ciasjogjYdu4E8W+q21DP7iwDf0fL8zg+nHH9TeP9hBEUG95lJse7sL3bjSUnjC0DS/mGxEIk9U4bbYTIfyl4yukTPLJBXdm34MbV+lNmZj62k7RK7EboiPdwnGlmq/NjHG62uIvXprgpWvzcbf7fBIFKNVa3Kg4VGyPp08OUkh11RbF5gEM55O4fsDnXi0zXrZx/IBrczYXSw3ecqiw+HfWiUzc6U0NO+3Sv1Pcy5EzYXVEHAnbxu3M30dRxJWZBq9MVulJGbBkjVBQKGYtvnZlnmLW4sF9N5/28kmD4ULUSZ08eX//tofSN7L46qpCIRnvrLrTIfyVxqcoCpmEThSADfhhdEsCZjfVbaxW87W/J7mhMZqawotXy7w+XSNpaovE7sHeNEEUMV1z+eqVeZ442kfS0OOWIFWbIjCQt3j+tZmu1GoCU9P46uVZPnd+hm870sNANrluZEJMCWPulEC8VyNnwuqIOBK2jduVv28vFK/cqPDS9TL9GYtiJsFoX5Jc19b3IISZusNIIUm56XW2jCuKsiy9c6uh9NVu1hsSCLrKqf15XrpW7nzvUp+lh4azG74hb2bhWG98cDMltFl2S93GWjVfpXqLtKmvK0wBLpRqhGFEPrW48SqKwnA+BYpKFMFU1UHX4nYgh/sy1MswXXGWpVaHC0necXyAr43NcX6yjutHmPrqkQkxJYy50wLxXo2cCSsj4kjYNm5H/r57oehJmRTTCXQ1LiKuNj1ODac7F/GNSpNSzeHCdJ0rsw10bXGz2O7UyVB+86H09XaibUQg3DeYoZAyODte5dXJ6jKfpXMTtVjIrXPz3+zCsaaA6UoJ3YqA2Q11G90p19HeFLYbp1YNVY2dv+ds+jMWuYSx5hjdIMJ2AyB2816KoaukTJV9uQRPHh8gn4p3CqYN+OuLMFFprpha7UmbPH6kj6lai7cfi+u6VhKzYkoYIwJR2GlEHAnbynYbSXYvFAB9WZPJaouBhT5nV+eaHAEqTZdvXSsTEZslZhMmbhAuahZraOqi9M5mQukbuVlvVCAM5BI8FEWMzTaW+SwtvfmvFB0q1ZxNLxxrCZh2SuiBLXjt7HTdRrumytI1zkxUOwabbYFczFjUHZ+3Hu7j+nxz1THON1xSpgbEfdMS6uI0qeeHRJFC2tIZyFmdSIPnefH/r5FaTZo6uqaST5mrRih2+9b/O4EIRGE3IOJI2Ha2K3+/0kIx2pui1vSZbrgkDY3ZhsMRDb5+tYKhqzy8v0DN8cgrC7vO2p3rZ22yCY1jA4s7sG8klL7hm/WJ4oYEQhRFnJuoreiz1P15Dy28rzs6NJxPUm15a0ZIVls4VhMw7ZRQ27zwVus8drJuw/FDZhsOc3WPph+QTxiYCaMjkCu2R2/GIJc0OD2YWXWMbV+kS6UGlaaLpXeJlChi3nZQVY1jA5kVo2zGFmuvdkNx+04jAlHYDYg4Em4L25G/X2mhaDsdj83ZzNZc5hsO5MHQFN56uI+0pXHmerXTKNbQVZK6ymvTNb7tSN8tpXc2c7PeiEDYyOe9OllhbLaBH4aLojxnJypcmWlw32B61QjJWgvHSuNrp4Rg63UeO1W3YWoKMzWXmuOzv5DszGtCjQXy9XKTMIowNWXNMSqKwqn9eS7PNHjp2jzXy0360iYKcT2bH8KjBzOcGsmveB0N55Ncmmvecu3Vbipu3ylEIAq7ARFHwq5ltYWivQ29VHMoNwyoTzLal2QwF/sHdTeK9R0PVVHoSZk8dqjnltI7m71ZrycQ1vs8S1e5OmczkE1yqkvMpS2dffkEX7syR6Xp0Zc1ySfMFSMkay0cS8fXTgmVag5fuDi/t+s8omjpRsb431G0wptXZiCX4PseHqY3bfKNq/PcqDSXeWWtNg8PDOeYbQa3XHu1W4rbdxIRiMJuQMSRsGtZa6GAuP3G/YM56nUwNa1zM+1uFOsFIV4QEgQRI4Wbxn3budNrszfr9T5vruFSdwLesH95asxQVcIoolR3ONyf7gislSIkm+WVib1b5+EGEcWshaooi6KGnh9SbrrkUyZ9aRM32JhIGsgl+OePjvDk/cWOQ3YxG9cYrXX8xay1pdqr3VDcvtOIQBR2AyKOhF3LRhaKB4ZzvHBxeTqj3dohiqJlnd+3dafXLdys1/u8G9UmGUund6XokwK6qhJGEITR0pc2FSFZymo7rbarzuN2etZYepxW7E0blGpeJ2qoqyr78imKWQNQNhVtUBSF3oxFb8Za/81dbLX2aqeL23caEYjCbkDEkbCrWW+h6EnGkZONpjNuZYvwdt+s1/u83rRF0tBxvBDdWryY+2FE0tTIeBrztouhqVuKkHSz1k6rrdZ53G7Pmm7BeXIki+2mO73rUqbK2Kx9R6MNW629utdNCe91gSjsPCKOhF3PWgtFu15mI+mMW90iHEURhqby4HCOS6U6FXvjzWjXOqbVxvvQcJZzE7UVI0u6qhAB9w1m6ElbcUH2FiMkbba602o17oRnTbfgHJuNi91zCYOWFzA2a+/JaMPtLm6/0+1JNsu9LhCFnUXEkbAn2MhCsd7N9Fa2CC+NeBgLLUC6O75vxRtotfEqirIosmTpsZP2RMWmN2XSl7Z4aCSH7YbbFiHZ6k6rlbiTnjUSbdg4e6U9ibhWCzuFiCPhrmKtm+lmd52tFPFoej5XZutM1Vq847i25TTNauPtXuhfnawsOGkHnVqkasvn3ESNI/3pbYuQbHWn1Upsh2fNZiIcEm1YH3GfFoT1EXEk3DNsZtfZShGPStNlbLbJTL3FdM1hbLbB6fsHOLU/f1sWk24n7YFskjfst2InbS/kYqlOtekxXm5iGeq2REi2utNqJbbqWXMrEQ6JNqyOuE8LwsYQcSTcM2xm19nSiEel6XLmepWG61FImhzs1ag1Pc5OVJhtuLflabvbSbvb70i3VE6N5Lk8U2col+Kxwz0kDG1bIiTbHXnZig2CRDi2H3GfFoSNIS5awj1Du2g3nzS5Mtug4fgEYUTD8bky21iUOuqOeEREjM02abgeg9kElqGR0DVUVWFfPkGl6XJ2vEq0hW30K7HeQjaYS1JpuSQMbV3/nc3QjrwM5RNb/ty2IJ2utZbNT1uQtmu3lr7WHeFIWzqaGvc0O9SXvm1zfjuIooj5hstkpcV8w93RMW8kkucG4YZ2Je6m4xKE7UYiR8I9xUaLdrsjHhEw23AoJE1YEAruQssOU9MYyGq35Wn7bmijcKs2CHdLhGO3FT5vl6HpbjsuQdhuRBwJ9xwbSR11p+DySQM/DDH0OLoRRRGVlsdQLkHa0ggjbotIuVvaKNzKLrK7QRjuxrTgdhia7sbjEoTtRsSRcE+yXtFud8RjstIkCMHxgrj+qOWRNnRGe1MoikLL9W+LSLmb2ihstpZprwvD3Vr4vFVD0916XIKw3ezOO4sg7ALaEY+HRvIkdJWxORvbDRjKJTg5kqOQMtesm9kqm6mR2gtsppbpVmuVdgubSQveadrX9dFilmrL43rZptryOFrM8uTxtaM+u/m4BGE7kciRIKzBQC7Bd2YtDvSkeP61ErbrM9qbImnqNBz/tvd6uleNDfd6f63dnha81V2Ju/24BGG7EHEkCOugKArHh+L0VVukzNruHRMp96qx4V4WhnshLXgrflB74bgEYTsQcSQIG2QnRcq9amy4V4Xh3VQv1s3delyCsBQRR4KwCe5VkbKT7MU53+tpwdW4W49LEJYi4kgQBOE2sJfTgmtxtx6XIHQj4kgQBOE2sVfTgutxtx6XILQRcSQIgnAb2YtpwY1wtx6XIID4HAl7nLYHzlTVkf5OgiAIwrYgkSNhzzJdbXHm6hwAnz13A8MwpL+TIAiCsGVEHAl7knZ/p6rdpAgMF5I4gbJn+jtFUST1GoIgCLsUEUfCnqO7v9Nob4pmGTRF2bX9nZYKIdcPODdRk47mgiAIuxQRR8KeY1F/pyWvLe3vtNMFo9PVVmfLsxuEOF5IqeaQTegcLWako7kgCMIuRAqyhT3HRvo7uUG44/2d2qm/i6UauYTBSCFJ2fa4OmdTaXq4fkjTDXCDkP6MRdl2ODtelaJyQRCEHUYiR8Keo7u/U2qFK3g39HfqTv0d6ovbLNQdn4brc7gvxVTV4fnXS+QSOkEYoWsqaVPDDys8crCw4xEvQRCEexmJHAl7jnZ/p+lai4jFUZZ2f6eRQmpH+zstSv0t1D15QYgfhvghVJoe4+UmqqLQl7ZIGhpzDZeXb9QYLzd3bNyCIAiCiCNhD9Lu75RPmlydswEIooiG43NltrEr+jutlPozNBVNUbhRaeJHIWlDQ9dUVFUhYWgUkgZ+EHKpVJfUmiAIwg4i4kjYk7T7Ox3uywAwUW5SbXkcLWZ58vjOFzV3p/7apC2NtGkwXY97UWmqgqYuCLgootLyONibpmJ7lG1vh0YuCIIgSM2RsGcZyCX49uP9/PVFeOdD+0gnzF3jF9RO/V0s1ThkxjVHCgpDBQvtGsw2XIbzCUxNwfECyk2XtGVwbCBNzfF3vJhcEAThXkbEkbCnaQuhwZyFYexcjdFS2qm/mbrDldkGA9kECUMjaWhkLIOUGZG2DOZsF11V2ZdPMdqXRFfVjh+SIAiCsDOIOBKE20Q79df2OZppOJiqyhsP5IkiONyfxg8jDE0lbWkQwZXZBkeL2R0tJhcEQbjXEXEkCLeRgVyC01lrmUP286/NMFN3OhEl2wmYrrV2RTG5IAjCvY6II2FP097VNVV1SCeiXVNz1I2iKMt8i5ZFlDSVo8WstBARBEHYBYg42kNIs9LFTFdbnLk6B8Bnz93AMIw906NspYjSvX4+BUEQdgsijvYIS3t03evNStutOap2kyIwXEjiBMqe6lG2UkRJiJEHAUEQdhIRR3uAthCoNN1Ojcq93Ky0uzXHaG+KZhk0RSFt6Rwy01yZbXB2vMrprCUL6h5EHgQEQdhp9sR+4StXrvC+972Pw4cPk0wmOXr0KB/96EdxXXfR+771rW/x7d/+7SQSCQ4cOMCv/uqvLvus//N//g8nTpwgkUhw6tQpPvOZz9ypw7gllvboSls6mrogBPrSVJruPdesdFFrDhaLH0VRGMgmGC/bYqS4B1narHd/IUUuYXCxVOO58yWmq62dHqIgCPcAe0Icvfrqq4RhyO/93u9x7tw5Pv7xj/OJT3yCn/mZn+m8p1qt8s53vpPR0VG+/vWv82u/9mt87GMf4/d///c77/niF7/Iv/pX/4r3ve99vPjii7z73e/m3e9+N2fPnt2Jw9oQK/XoanOvCoGVWnN0kzA03CAUI8U9hjwICIKwW9gTabWnn36ap59+uvPvI0eOcP78eX73d3+XX//1Xwfgj/7oj3Bdlz/4gz/ANE0eeughXnrpJf7rf/2v/MiP/AgAv/mbv8nTTz/NT/7kTwLwi7/4izz77LP89m//Np/4xCfu/IFtgI0IgZmGc08Jge7WHKkVruCWF2Bqqhgp7jE28yAgtVqCINxO9oQ4WolKpUJvb2/n31/60pf4ju/4Dkzz5k3zqaee4ld+5VeYn5+np6eHL33pS3z4wx9e9DlPPfUUn/70p1f9HsdxcByn8+9qtQqA53l43taiNe3fX+tzNAJMJaLluKTM5QKp5cavawRbHs9eIW3AcNbk8mydAwULgCiMe5hFRJSqNof7MqSNtedWiNnIdXgnaLRcPM/DSutEgb/sdUuL8DyPRsslY+6uWrLdMod7FZm/rSNzuD6bmZs9KY4uXLjAb/3Wb3WiRgCTk5McPnx40fsGBwc7r/X09DA5Odn5Wfd7JicnV/2uX/7lX+YXfuEXlv38s5/9LKlUaiuH0eHZZ59d8/Xcwv/ba7z+xed2b2rwdlEEWuX4v5tXXlz083oZ/vriDgxqD7PedXgn6AOc+bVf//oXXr5Tw9k0u2EO9zIyf1tH5nB1bHu1VXQ5OyqOPvKRj/Arv/Ira77nlVde4cSJE51/j4+P8/TTT/PMM8/wwz/8w7d7iPz0T//0omhTtVrlwIEDvPOd7ySXy63xm+vjeR7PPvss3/M937NmX7BSzeELr89QbbkUMwksQ8XxQkr1FrmkyduP9VPMWlsay16kVHN4+fo8jcvfYK5wP7puMJxP8sBw7p6cj1tlo9fh7SaKIj7/2gyXZ+sc7E0tKraPiLg6F0cEv/14/67bhbhb5nCvIvO3dWQO16ed+dkIOyqOfuInfoL3vve9a77nyJEjnf+emJjg9OnTPPHEE4sKrQGGhoaYmppa9LP2v4eGhtZ8T/v1lbAsC8tavtAahrFtF+B6nzXca/DkA/rN7c1NH1NTOTJQuKe3Nw/3GvRnTP76MnzPyf2kE6b44WyB7bymb5VTB3uZbQaMzTuLbCumaw75dJJTB3sXpc53G7thDvcyMn9bR+ZwdTYzLzsqjorFIsVicUPvHR8f5/Tp07zpTW/ik5/8JKq6uNj28ccf52d/9mfxPK8zAc8++yz3338/PT09nff83d/9HR/60Ic6v/fss8/y+OOPb88B3UbEUXll2sc/mLPkhnAXsGKzXmmtIgjCHWZP1ByNj4/z5JNPMjo6yq//+q9TKpU6r7WjPt///d/PL/zCL/C+972Pn/qpn+Ls2bP85m/+Jh//+Mc77/3xH/9x3vGOd/Abv/EbvOtd7+JP/uRP+NrXvrYsCrVbuZsdlcURWWgjDwKCIOw0e0IcPfvss1y4cIELFy6wf//+Ra+1PU/y+Tyf/exn+cAHPsCb3vQm+vv7+fmf//nONn6AJ554gj/+4z/m537u5/iZn/kZ7rvvPj796U9z8uTJO3o8wmLEEVlYyt38ICAIwu5nT4ij9773vevWJgG84Q1v4POf//ya73nmmWd45plntmlkwlZZqzVKqdbikYM95JKGRA8EQRCEO8aeEEfC3clSR+S28ElbOgXf5Gtjc5wZr3C4P42pSzRJEARBuDOIhbCwY6zmiFy2Xc5NVGn5IS0/pJAypb+WIAiCcMcQcSTsGCu1RomiiLE5m4bnM5xPoKkQRpH01xIEQRDuGCKOhB2ju0dam4YTMNdwyScM/CBCV1UMLb5M79VGu4IgCMKdRcSRsGMUUgYjhRTTtVYnEuSFIX4QYqoK5aZLX9oibd2MLCUMDTcI76lGu4IgCMKdRcSRsGMoisLJkRz5pMmV2QYNx0dVFMIwYrzSJG0ZjPYlF7WRaHkBpqZi6XLpCoIgCLcHWWGEHaXtiHy0mKXa8pi3HSxDwzJ0Tg5nySdvet1EUcR0rcVIIUUhJW7YgiAIwu1BtvILO85SR+Rq0+PFa/PM2x6GpnX112qRT5mcHMmJ35EgCIJw2xBxJOwKuh2Rh/IJCilD+msJgiAIO4KII2FXIv21BEEQhJ1CxJGwa5H+WoIgCMJOIAXZgiAIgiAIXYg4EgRBEARB6ELSasJdRRRFUqckCIIgbAkRR8Jdw3S11dnh5gYhpqYyUkjJDjdBEARhU4g4Eu4KSjWHL1ycp9J0GcgmOt5IF0s1ZuoOT95fFIEkCIIgbAipORLuCl6ZqFJpuhzqS5O2dDRVIW3pHOpLU2m6nB2vdvq3CYIgCMJaiDgS7gomKk0Gsoll9UWKojCQTTBetinb3g6NThAEQdhLiDgS7gq8ICRhaCu+ljA03CDE8cM7PCpBEARhLyLiSLgrMDSVlhes+FrLCzA1FUuXy10QBEFYH1kthLuC4XyS6VprWV1RFEVM11qMFFIUUsYOjU4QBEHYS4g4Eu4KHhjOkU+aXJlt0HB8gjCi4fhcmW2QT5mcHMmJ35EgCIKwIWQrv3BXUMxaPHl/seNzNNNwMDWVo8Ws+BwJgiAIm0LEkXDXMJBLcDpriUO2IAiCsCVEHN2F3MstNBRFoSdt7vQwBEEQhD2MiKO7DGmhIQiCIAhbQ8TRXcR0tcVz50vSQkMQBEEQtoDsVrtLiKKIs+PSQkMQBEEQtoqIo7uEsu0xXralhYYgCIIgbBERR3cJjh/iSgsNQRAEQdgyIo7uEixdxZQWGoIgCIKwZWSlvEsopAxGCilpoSEIgiAIW0TE0V2CoiicHJEWGoIgCIKwVWQr/13EQC4hLTQEQRAEYYuIOLrLkBYagiAIgrA1RBzdhUgLDUEQBEG4daTmSBAEQRAEoQsRR4IgCIIgCF2IOBIEQRAEQehCxJEgCIIgCEIXIo4EQRAEQRC6EHEkCIIgCILQhYgjQRAEQRCELkQcCYIgCIIgdCHiSBAEQRAEoQtxyN4k7Y731Wp1y5/leR62bVOtVjEMY8ufdy8ic7h1ZA63jszh1pD52zoyh+vTXrfb6/haiDjaJLVaDYADBw7s8EgEQRAEQdgstVqNfD6/5nuUaCMSSugQhiETExNks9ktN3OtVqscOHCAa9eukcvltmmE9xYyh1tH5nDryBxuDZm/rSNzuD5RFFGr1RgeHkZV164qksjRJlFVlf3792/rZ+ZyObmYt4jM4daROdw6ModbQ+Zv68gcrs16EaM2UpAtCIIgCILQhYgjQRAEQRCELkQc7SCWZfHRj34Uy7J2eih7FpnDrSNzuHVkDreGzN/WkTncXqQgWxAEQRAEoQuJHAmCIAiCIHQh4kgQBEEQBKELEUeCIAiCIAhdiDgSBEEQBEHoQsTRLuL7vu/7OHjwIIlEgn379vEDP/ADTExM7PSw9gRXrlzhfe97H4cPHyaZTHL06FE++tGP4rruTg9tT/FLv/RLPPHEE6RSKQqFwk4PZ0/wO7/zOxw6dIhEIsFb3/pWvvrVr+70kPYM//AP/8D3fu/3Mjw8jKIofPrTn97pIe05fvmXf5nHHnuMbDbLwMAA7373uzl//vxOD2vPI+JoF3H69Gn+9E//lPPnz/N//+//5eLFi/zLf/kvd3pYe4JXX32VMAz5vd/7Pc6dO8fHP/5xPvGJT/AzP/MzOz20PYXrujzzzDO8//3v3+mh7An+9//+33z4wx/mox/9KN/4xjd44xvfyFNPPcX09PROD21P0Gg0eOMb38jv/M7v7PRQ9izPP/88H/jAB/jyl7/Ms88+i+d5vPOd76TRaOz00PY0spV/F/MXf/EXvPvd78ZxHOmyfAv82q/9Gr/7u7/LpUuXdnooe45PfepTfOhDH6JcLu/0UHY1b33rW3nsscf47d/+bSDuvXjgwAE++MEP8pGPfGSHR7e3UBSFP/uzP+Pd7373Tg9lT1MqlRgYGOD555/nO77jO3Z6OHsWiRztUubm5vijP/ojnnjiCRFGt0ilUqG3t3enhyHcpbiuy9e//nW++7u/u/MzVVX57u/+br70pS/t4MiEe5lKpQIg974tIuJol/FTP/VTpNNp+vr6uHr1Kn/+53++00Pak1y4cIHf+q3f4t/9u3+300MR7lJmZmYIgoDBwcFFPx8cHGRycnKHRiXcy4RhyIc+9CHe9ra3cfLkyZ0ezp5GxNFt5iMf+QiKoqz5v1dffbXz/p/8yZ/kxRdf5LOf/SyapvGDP/iD3MuZz83OH8D4+DhPP/00zzzzDD/8wz+8QyPfPdzKHAqCsPf4wAc+wNmzZ/mTP/mTnR7Knkff6QHc7fzET/wE733ve9d8z5EjRzr/3d/fT39/P8ePH+eBBx7gwIEDfPnLX+bxxx+/zSPdnWx2/iYmJjh9+jRPPPEEv//7v3+bR7c32OwcChujv78fTdOYmppa9POpqSmGhoZ2aFTCvcqP/diP8Zd/+Zf8wz/8A/v379/p4ex5RBzdZorFIsVi8ZZ+NwxDABzH2c4h7Sk2M3/j4+OcPn2aN73pTXzyk59EVSUwClu7BoXVMU2TN73pTfzd3/1dp4g4DEP+7u/+jh/7sR/b2cEJ9wxRFPHBD36QP/uzP+O5557j8OHDOz2kuwIRR7uEr3zlK7zwwgu8/e1vp6enh4sXL/Kf/tN/4ujRo/ds1GgzjI+P8+STTzI6Osqv//qvUyqVOq/JU/zGuXr1KnNzc1y9epUgCHjppZcAOHbsGJlMZmcHtwv58Ic/zHve8x7e/OY385a3vIX/9t/+G41Ggx/6oR/a6aHtCer1OhcuXOj8+/Lly7z00kv09vZy8ODBHRzZ3uEDH/gAf/zHf8yf//mfk81mO/Vu+XyeZDK5w6Pbw0TCruBb3/pWdPr06ai3tzeyLCs6dOhQ9KM/+qPR9evXd3poe4JPfvKTEbDi/4SN8573vGfFOfzc5z6300PbtfzWb/1WdPDgwcg0zegtb3lL9OUvf3mnh7Rn+NznPrfi9fae97xnp4e2Z1jtvvfJT35yp4e2pxGfI0EQBEEQhC6kKEMQBEEQBKELEUeCIAiCIAhdiDgSBEEQBEHoQsSRIAiCIAhCFyKOBEEQBEEQuhBxJAiCIAiC0IWII0EQBEEQhC5EHAmCIAiCIHQh4kgQBEEQBKELEUeCINzTBEHAE088wb/4F/9i0c8rlQoHDhzgZ3/2Z3doZIIg7BTSPkQQhHue1157jYcffpj/8T/+B//6X/9rAH7wB3+Qb37zm7zwwguYprnDIxQE4U4i4kgQBAH47//9v/Oxj32Mc+fO8dWvfpVnnnmGF154gTe+8Y07PTRBEO4wIo4EQRCAKIr4zu/8TjRN48yZM3zwgx/k537u53Z6WIIg7AAijgRBEBZ49dVXeeCBBzh16hTf+MY30HV9p4ckCMIOIAXZgiAIC/zBH/wBqVSKy5cvc/369Z0ejiAIO4REjgRBEIAvfvGLvOMd7+Czn/0s/+W//BcA/vZv/xZFUXZ4ZIIg3GkkciQIwj2Pbdu8973v5f3vfz+nT5/mf/2v/8VXv/pVPvGJT+z00ARB2AEkciQIwj3Pj//4j/OZz3yGb37zm6RSKQB+7/d+j//wH/4DZ86c4dChQzs7QEEQ7igijgRBuKd5/vnn+a7v+i6ee+453v72ty967amnnsL3fUmvCcI9hogjQRAEQRCELqTmSBAEQRAEoQsRR4IgCIIgCF2IOBIEQRAEQehCxJEgCIIgCEIXIo4EQRAEQRC6EHEkCIIgCILQhYgjQRAEQRCELkQcCYIgCIIgdCHiSBAEQRAEoQsRR4IgCIIgCF2IOBIEQRAEQeji/wcv+x3boh6MTwAAAABJRU5ErkJggg==", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "if n_features == 1:\n", " plt.scatter(X, y, alpha=0.3)\n", " plt.xlabel(\"X\")\n", " plt.ylabel(\"y\")\n", " plt.grid(True)\n", "\n", "plt.figure()\n", "plt.hist(y - np.mean(y), bins=int(np.sqrt(len(y))))\n", "plt.title(\"histogram y - mean(y)\")\n", "plt.ylabel(\"counts\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "MiHG-Csw2vbM" }, "source": [ "## Model\n", "\n", "Similarly to the LAD regression example, suppose we have a finite data set consisting of $n$ points $\\{({X}^{(i)}, y^{(i)})\\}_{i=1,\\dots,n}$ with ${X}^{(i)} \\in \\mathbb R^k$ and $y^{(i)} \\in \\mathbb R$. We want to fit a linear model with intercept, whose error or deviation term $e_i$ is equal to\n", "\n", "$$\n", " e_i = y^{(i)} - {m}^\\top {X}^{(i)} - b = y^{(i)} - \\sum_{j=1}^k X^{(i)}_j m_j - b,\n", "$$\n", "\n", "for some real numbers $b, m_1,\\dots,m_k$. The Ordinary Least Squares (OLS) is a possible statistical optimality criterion for such a linear regression, which tries to minimize the sum of the errors squares, that is $\\sum_{i=1}^n e_i^2$. The OLS regression can thus be formulated as an optimization with the coefficients $b$ and $m_i$'s and the errors $e_i$'s as the decision variables, namely\n", "\n", "$$\n", "\\begin{align}\n", " \\min \\quad & \\sum_{i=1}^n e_i^2\\\\\n", " \\text{s.t.} \\quad & e_i = y^{(i)} - {m}^\\top {X}^{(i)} - b, \\qquad \\forall\\, i=1,\\dots,n.\n", "\\end{align}\n", "$$" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 35, "status": "ok", "timestamp": 1686079825670, "user": { "displayName": "Marcos Domínguez Velad", "userId": "18131612151504710302" }, "user_tz": -120 }, "id": "UvtvRU7DziTH", "outputId": "1578bdbc-2721-46fe-f0b2-aecc48022603" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "OLS Regression\n", "\n", "m: 53.49847313217242\n", "b: 0.4280946804476905\n", "Sum of error squares: 2466403.832701945\n" ] } ], "source": [ "def ols_regression(X, y):\n", " m = AMPL()\n", " m.eval(\n", " \"\"\"\n", " reset;\n", "\n", " set I;\n", " set J;\n", " \n", " var e{I};\n", " var m{J};\n", " var b;\n", "\n", " param X{I, J};\n", " param y{I};\n", "\n", " subject to residuals{i in I}:\n", " e[i] = y[i] - sum{j in J} X[i,j]*m[j] - b;\n", "\n", " minimize sum_of_square_errors:\n", " sum{i in I} e[i]**2;\n", " \"\"\"\n", " )\n", "\n", " n, k = X.shape\n", "\n", " m.set[\"I\"] = list(range(n))\n", " m.set[\"J\"] = list(range(k))\n", "\n", " m.param[\"X\"] = X\n", " m.param[\"y\"] = y\n", "\n", " m.option[\"solver\"] = SOLVER_QO\n", " m.get_output(\"solve;\")\n", " return m\n", "\n", "\n", "m = ols_regression(X, y)\n", "m_ols = [m.var[\"m\"][j].value() for j in m.set[\"J\"].members()]\n", "b_ols = m.var[\"b\"].value()\n", "print(\"OLS Regression\\n\")\n", "print(\"m:\", *m_ols)\n", "print(\"b:\", b_ols)\n", "print(\"Sum of error squares:\", m.obj[\"sum_of_square_errors\"].value())" ] }, { "cell_type": "markdown", "metadata": { "id": "Se1-5-b9yrpv" }, "source": [ "## Convexity\n", "\n", "Denote by ${\\theta}=(b,{m}) \\in \\mathbb{R}^{k+1}$ the vector comprising all variables, by $y =(y^{(1)}, \\dots, y^{(n)})$, and by ${\\tilde{X}} = \\mathbb{R}^{d \\times (n+1)}$ the so-called *design matrix* associated with the dataset, that is\n", "\n", "$$\n", " {\\tilde{X}} = \\left[\n", " \\begin{array}{cccc}\n", " {1} & {X}^{(1)} & \\dots & {X}^{(n)}\n", " \\end{array}\\right].\n", "$$\n", "\n", "We can then rewrite the minimization problem above as an unconstrained optimization problem in the vector of variables ${\\theta}$, namely\n", "\n", "$$\n", " \\min_{{\\theta}} f({\\theta}),\n", "$$\n", "\n", "with $f: \\mathbb{R}^{k+1} \\rightarrow \\mathbb{R}$ defined as $f({\\theta}):=\\| {y} - {\\tilde{X}} {\\theta} \\|_2^2$. Note that here $y$ and ${X}^{(i)}$, $i=1,\\dots,n$ are not a vector of variables, but rather of known parameters. The Hessian of the objective function can be calculated to be\n", "\n", "$$\n", " \\nabla^2 f(\\theta) = 2 {\\tilde{X}}^\\top {\\tilde{X}}.\n", "$$\n", "\n", "In particular, it is a constant matrix that does not depend on the variables ${\\theta}$ and it is always positive semi-definite, since\n", "\n", "$$\n", " t^\\top \\nabla^2 f(\\theta) t = 2 t^\\top {\\tilde{X}}^\\top \\tilde{X} t = 2 \\| {\\tilde{X}} t \\|_2^2 \\geq 0, \\qquad \\forall \\, t \\in \\mathbb{R}^{k+1}.\n", "$$\n", "\n", "The OLS optimization problem is then always convex." ] }, { "cell_type": "markdown", "metadata": { "id": "yddSxz2Fyrpw" }, "source": [ "## Visualizing the results and comparison with LAD regression" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 21, "status": "ok", "timestamp": 1686079825671, "user": { "displayName": "Marcos Domínguez Velad", "userId": "18131612151504710302" }, "user_tz": -120 }, "id": "_6PNTgZh4PqS", "outputId": "067c4a0c-db03-4bee-ecb2-6142ebc30669" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "LAD Regression\n", "\n", "m: 51.42857640061373\n", "b: -1.413026812508927\n", "Sum of abs squares: 27907.63319057619\n" ] } ], "source": [ "def lad_regression(X, y):\n", " m = AMPL()\n", " m.eval(\n", " \"\"\"\n", " reset;\n", "\n", " set I;\n", " set J;\n", " \n", " var ep{I} >= 0;\n", " var em{I} >= 0;\n", " var m{J};\n", " var b;\n", "\n", " param X{I, J};\n", " param y{I};\n", "\n", " subject to residuals{i in I}:\n", " ep[i] - em[i] = y[i] - sum{j in J} X[i,j]*m[j] - b;\n", "\n", " minimize sum_of_abs_errors:\n", " sum{i in I} (ep[i] + em[i]);\n", " \"\"\"\n", " )\n", "\n", " n, k = X.shape\n", "\n", " m.set[\"I\"] = list(range(n))\n", " m.set[\"J\"] = list(range(k))\n", "\n", " m.param[\"X\"] = X\n", " m.param[\"y\"] = y\n", "\n", " m.option[\"solver\"] = SOLVER_LO\n", " m.get_output(\"solve;\")\n", " return m\n", "\n", "\n", "m = lad_regression(X, y)\n", "m_lad = [m.var[\"m\"][j].value() for j in m.set[\"J\"].members()]\n", "b_lad = m.var[\"b\"].value()\n", "print(\"\\nLAD Regression\\n\")\n", "print(\"m:\", *m_lad)\n", "print(\"b:\", b_lad)\n", "print(\"Sum of abs squares:\", m.obj[\"sum_of_abs_errors\"].value())" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2022-09-27T00:39:34.379913Z", "start_time": "2022-09-27T00:39:33.626082Z" }, "colab": { "base_uri": "https://localhost:8080/", "height": 885 }, "executionInfo": { "elapsed": 594, "status": "ok", "timestamp": 1686079826251, "user": { "displayName": "Marcos Domínguez Velad", "userId": "18131612151504710302" }, "user_tz": -120 }, "id": "aa94AnN9yrpz", "outputId": "1a7ad52d-fd5c-4fa4-cd4f-579df5c1a56c" }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y_fit = np.array([sum(x[j] * m_ols[j] for j in range(X.shape[1])) + b_ols for x in X])\n", "y_fit2 = np.array([sum(x[j] * m_lad[j] for j in range(X.shape[1])) + b_lad for x in X])\n", "\n", "if n_features == 1:\n", " plt.scatter(X, y, alpha=0.3, label=\"data\")\n", " plt.plot(X, y_fit, \"r\", label=\"y_fit (OLS)\")\n", " plt.plot(X, y_fit2, \"g\", label=\"y_fit (LAD)\")\n", " plt.xlabel(\"X\")\n", " plt.ylabel(\"y\")\n", " plt.grid(True)\n", " plt.legend()\n", "\n", "plt.figure()\n", "plt.hist(y - np.mean(y), bins=int(np.sqrt(len(y))), alpha=0.5, label=\"y - mean(y)\")\n", "plt.hist(\n", " y - y_fit,\n", " bins=int(np.sqrt(len(y))),\n", " color=\"r\",\n", " alpha=0.8,\n", " label=\"y - y_fit (OLS)\",\n", ")\n", "plt.hist(\n", " y - y_fit2,\n", " bins=int(np.sqrt(len(y))),\n", " color=\"g\",\n", " alpha=0.8,\n", " label=\"y - y_fit (LAD)\",\n", ")\n", "plt.title(\"histogram of residuals\")\n", "plt.ylabel(\"counts\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "executionInfo": { "elapsed": 13, "status": "ok", "timestamp": 1686079826253, "user": { "displayName": "Marcos Domínguez Velad", "userId": "18131612151504710302" }, "user_tz": -120 }, "id": "vmSHGlZkyrp0" }, "outputs": [], "source": [] } ], "metadata": { "colab": { "provenance": [] }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.16" }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 0 }