{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Spectroscopy Module\n", "\n", "**Lecturer:** Robert Quimby
\n", "**Jupyter Notebook Authors:** Robert Quimby & Cameron Hummels\n", "\n", "This is a Jupyter notebook lesson taken from the GROWTH Winter School 2018. For other lessons and their accompanying lectures, please see: http://growth.caltech.edu/growth-astro-school-2018-resources.html\n", "\n", "## Objective\n", "\n", "Extract a 1-D spectrum from a 2-D image of a long-slit spectrum, determine wavelength solution, and then measure the redshift of the target.\n", "\n", "\n", "## Key steps\n", "- determine the mapping between pixel coordinates and lines of constant wavelength\n", "- create and subtract a 2D model of the sky background from the science image\n", "- determine the mapping between pixel coordinates and lines of constant spatial position\n", "- extract (sum) the background subtracted target counts in each wavelength bin\n", "- determine the wavelengths for each wavelength bin\n", "- identify line features in the extracted spectrum and use the known rest wavelength to compute a redshift\n", "- normalize a flat field image wavelength bin by wavelength bin and correct the images for pixel-to-pixel efficiencies \n", "- extract a spectrum of a \"standard star\" with a known flux densities\n", "- use the standard star spectrum to calibrate the instrumental response function\n", "- use the response function to convert the target counts into flux densities\n", "- identify telluric absorption features in the standard star spectrum and correct the target spectrum for these absorption bands\n", "\n", "## Required dependencies\n", "\n", "See GROWTH school webpage for detailed instructions on how to install these modules and packages. Nominally, you should be able to install the python modules with `pip install `. The external astromatic packages are easiest installed using package managers (e.g., `rpm`, `apt-get`).\n", "\n", "### Python modules\n", "* python 3\n", "* astropy\n", "* numpy\n", "* scipy\n", "* matplotlib\n", "* pyds9\n", "\n", "### External packages\n", "* ds9 http://ds9.si.edu/site/Home.html " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# python modules that we will use\n", "import numpy as np\n", "from astropy.io import fits\n", "from astropy.stats import sigma_clip\n", "from scipy.interpolate import interp1d\n", "from scipy.interpolate import LSQBivariateSpline, LSQUnivariateSpline\n", "from scipy.optimize import fmin\n", "from scipy.optimize import least_squares\n", "import pickle\n", "\n", "%matplotlib inline\n", "import matplotlib.pylab as plt\n", "import os\n", "import subprocess" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# optional launch DS9 for displaying image data\n", "#import pyds9\n", "#ds9 = pyds9.DS9()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# change plotting defaults\n", "plt.rc('axes', labelsize=14)\n", "plt.rc('axes', labelweight='bold')\n", "plt.rc('axes', titlesize=16)\n", "plt.rc('axes', titleweight='bold')\n", "plt.rc('font', family='sans-serif')\n", "plt.rcParams['figure.figsize'] = (15, 7)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "cwd = os.getcwd()\n", "data_dir = os.path.join(cwd, 'data')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Test dependencies\n", "\n", "In order for this jupyter notebook to function correctly, we must have some external software installed, as described above. The following step assures that these are installed properly before getting to the rest of the content of this lesson." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ds9 is installed properly. OK\n", "\n", "1 out of 1 dependencies installed properly.\n", "You are ready to continue.\n" ] } ], "source": [ "dependencies = ['ds9']\n", "\n", "def test_dependency(dep):\n", " try:\n", " subprocess.Popen(dep, stderr=subprocess.PIPE).stderr.read()\n", " print(\"%s is installed properly. OK\" % dep)\n", " return 1\n", " except ImportError:\n", " print(\"===%s IS NOT YET INSTALLED PROPERLY===\" % dep)\n", " return 0\n", " \n", "i = 0\n", "for dep in dependencies:\n", " i += test_dependency(dep)\n", "print(\"\\n%i out of %i dependencies installed properly.\" % (i, len(dependencies)))\n", "if i != len(dependencies):\n", " print(\"Please correctly install these programs before continuing.\")\n", "else:\n", " print(\"You are ready to continue.\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Scipy bug check" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Nuts! Your version of scipy does not do proper 1D spline fitting.\n" ] } ], "source": [ "# test if spline fitting works\n", "x = np.array([0, 1, 2, 2, 3, 4])\n", "y = np.array([0, 1, 2, 2, 3, 4])\n", "try:\n", " spl = LSQUnivariateSpline(x, y, []) # new scipy crashes here because of duplicate x=2 values\n", " SPLINE_WORKS = True\n", " print('Congratulations! Your version of scipy has 1D spline fitting')\n", "except ValueError:\n", " SPLINE_WORKS = False\n", " print('Nuts! Your version of scipy does not do proper 1D spline fitting.')" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# *** HACK! -- HACK! -- HACK! ***\n", "if SPLINE_WORKS is False:\n", " from scipy.interpolate import LSQUnivariateSpline as real_LSQUnivariateSpline\n", "\n", " # re-define LSQUnivariateSpline; this runs VERY slow!\n", " def LSQUnivariateSpline(x, y, t, weights=None):\n", " # x must be **strictly** increasing\n", " # so remove (average over) duplicates\n", " uniqx = np.unique(x)\n", " newy = np.zeros(uniqx.shape)\n", " if weights is not None:\n", " newweights = np.zeros(uniqx.shape)\n", " else:\n", " newweights = None\n", " \n", " for i in range(uniqx.size):\n", " w = (x == uniqx[i])\n", " newy[i] = np.mean(y[w])\n", " if weights is not None:\n", " newweights[i] = np.mean(weights[w]) # probably not right...\n", " \n", " return real_LSQUnivariateSpline(uniqx, newy, t, newweights)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load the 2-D science Frame" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "# load the 2D science image data\n", "image = fits.getdata(os.path.join(data_dir,'spec_sci.fits'))" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "# determine the image pixel distribution (used for displaying below)\n", "sample = sigma_clip(image)\n", "vmin = sample.mean() - 1 * sample.std()\n", "vmax = sample.mean() + 3 * sample.std()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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0F3/xF5Kk22+/XTfffLMeeugh3XLLLXrve9+rn/mZn9HnP/953Xbbbdrc3FQ6nTZn5Qtf+EJkTM95znN0zTXX2NxwxL7+9a/rx3/8x3X33Xfr+PHjCoJA7XZbyWTSgrTD4VB/8Ad/oO985zt64xvfqJ/4iZ8wJ7PX62kwGJi+CsNQr3nNazQYDPTiF79Yv/u7v6tGo6HhcKif/Mmf1EMPPaTNzU0lk0k98sgjGg6HqlQqet3rXqdyuaxPfvKTkXMsjfk8n89Lkv7wD/9Qx48f15/8yZ/oec97nn7jN35Dc3Nz9tmf+qmf0he/+EVJYyfwzjvv1Ctf+Uo9//nP197enu655x5J0le+8hX92I/9mCTptttu07/8y79Ikn7xF39RQRDo1KlT+ta3vqWHH35Yb37zm/WlL31JkvSWt7xFL3zhC/Xbv/3besMb3qA77rhDv/Vbv6U777xTkvSCF7xAOzs7arfbuu666/Tggw9asOx973uf7rjjDr31rW/V3XffrY2NDbXbbf3Ij/yIXvSiF2l3d1e///u/fyAPf/KTn9TP//zPS5I+9KEPaWlpSa997WtVq9XUbrd1++23m9Pf6XR09OhRVSoV3X333fYM5n3vvffq937v9/SiF71IH/vYx7SxsWHJjZtuuknNZlMPP/ywJOmVr3ylnvWsZ9m5e8lLXqKXvvSl+p3f+R1J0q233qqlpSV95StfOXDskvS2t71N//RP/6RSqaS77rpL73nPe/SWt7wl8pmf+7mf02te8xr97M/+rG666SadPHnSfve1r31Nt99+uyTpZS97mebn5/XZz35W7373u/XZz37W9vCP/uiPdNddd+muu+76f8MwvO2Sg5pCMyjpVaD5+fnH/VkULFEBaZLNITr1wAMPKJPJmKGczWbV6XTU7/fV7XaVyWRUKBQsC0Z0MpPJmKOVyWQUBIG63a4KhYIpI4xRHDAMdQx/IpipVMqiMXxuOBxaRJifh2GodrttmTPegdOFYzs3N6fRaKRsNqvBYKD5+Xnl83kTtslkUrlcTslk0rI+RKB5P0ZDJpMxZ4S5Yzz3ej2LBmJIM594Vqvb7ZrTTWaOtUgmk/ucUcbps0WstSSbXz6f19LSkkXO+azPgElSuVy2zBHPZd2LxaKNud/vmzOK04tgTKfTqlQqFgTI5XI6evSoGV84vRDOPBFD1pdgAA413yHqPxgMbL75fN4yGawF0W+/hvBaNpvVcDhUPp83nmLv+Xy5XFY6nbaspM9E8Lm9vT1br36/b5kjnGicrm63q3q9bmfNj6tYLKper2thYcH2nowrGcRut2vzZawENZhnq9UyJ3tubi6SzSRDyV76jDXGcrFYtLMBb+HgcXbb7baWl5dtDtls1vaF/YPvyYqFYahutxtxoCVZMMBnzRcXF9XpdLSwsGAGeqFQsLPhM2cEO7a3t+3Z3W7XjKp0Om28jtE/NzdnWbnt7W01m819WSHWodVqKZFIKJlM2rlOp9Pa2dmRNI7Qk23y55t1b7fbFqHudrvqdrvGY2EYan5+XslkUtlsVrlcTolEIpIhhGf5frvdVi6XsyAMhFM0HA7VbDYjv2s0Gspms2o2mxZYk8ZGOdFy5u+DZqVSyZ7BeSQjzH6w555arZakcYR8cXHReB9in3Bg2JtMJqNisWhyCz4iOAYPSrKMbj6ftyBiGIYqlUqWIWG8BC3gcXib7GCpVDJ9gx5BrvV6PbXbbcvqF4tFJRIJm0+xWIxkGD31ej1Vq1ULfA4GA1ub+Noht/geenAwGBj/eiI4JY3PNTQ/P288wh5IMlnpETTb29um70FHIL/Yn729PWWzWZOxV0LYFfl83gLCnU5H2WzW+I1MvecJT6urq/ZvZGK9Xt/3OfgDHSTJ9lGStra2jP8INEpjneftH79PrAMBA0n2buQovBqXb9JYh4F4IZDY6/XMFpHG+0TQEqRCMplUqVRSqVRSq9WKZL75v0d0wNOtVkvNZlPtdludTkeNRkOtVssQA91uV6PRyIIh/X5f2Wx26nriFEoymQSawTuFzBNKp9OG/vC8LU1kCesHDYdDtVot47MLFy5E7FGy15IsS7i7uxt5597ennK5nPEsxL5sb2/bO5G7rVbLzrN/nif4ShrzHxnPXC6narVqMrnX6ymZTE7lA8aOPALh4OeILQA1Gg0tLS1F1suvM/br5QgZzHf9MyDOJPPy5M+DP1vz8/MR+YeddKV01RzDIAjWgiD4hyAI7g+C4L4gCP7nx37+vwZB8GgQBP/fY39e6b7z20EQnA6C4FQQBC+/WmP9z6a4EroUxWF0Ht6HoYtCxBHgwKNs9vb21Gq1zJhDCaNcMWj5HYyYzWbN+OJgkXkjU4WBRKTMZ29Go5E5p4xFkjmkGJLAQRCEfF6SZUHb7bZ6vZ7NE+McYUimDEeY7wVBoL29PSWTSZXL5QgcpN/vK51O2897vZ45Er1ez/7Poc9ms2o0GgqCwBQ742GfcNo8ZLDf70ccUPafdSCb5g82sCMclE6nY9m1bDardru9by/JuqZSqYgxiwOP4U0GBYfFQ7jIuGG49fv9iELDOCYbyPfgDUmmpBBMfu+Zm+djeMwbuawNa4fxjoEPlA/DKZFIGC8nEglbB+bGuahWq2aIwVO5XM4MV7JrOBqsZavVsnOBQZHNZjUajdRsNi2LyTMxZjCSc7mcer2eVldXzdAjSDIcDi17D9wXCF6lUjEDRBorYcbFmmGAw2vwJs9mv/L5vPG3NFYk7HWlUonInaNHjxpfs3d7e3sRODr8IMmccahWq5lz6PedLGWv19M111wjaaxUK5WK+v2+6vW6GV/IGJwT1gbjmXXi3OBASIoYU0Twi8WiGSZzc3OW+YZXms2m8Uaz2TT51uv11O/3VSgUlM/nbRyJREL5fN7kx+bmpvE/lEwmVavV7LueMBaTyaQZa5wXoH3IfbJn7GuceCefnwbTZh+Hw6Gq1ao2NjYihgb7541FZCqBJUkWtEA2AXNn3Uejkba2tsyg9EYlZwu5AmS32Wyq2+1G9B17Ab/u7e3ZXjJnZAlOPuffo1zihDPF+vqAFbS3t6d6vb5PjvFMb5B6Yw69JilihHY6HWUyGTubPKder5tMZ1yFQsGMVXQD78cpyWQyKpfLkcDjEyX4m6AOa4PO8NmvgwhjGXkJyiFO8CJ6nnfx3larZYa2P8dnzpxRtVq19fL8inzP5/O2RowH3U25wzSDmwAMvMaZl2TyEGeCdULHdToddbtdra6uamlpyeR/LpezACfnIwxDLS8vW4A6mUyaTigUChYUQq5jYwAj9cGeaVStVtVoNMwBipN3UFqtVkTW+/X0a+Sdimw2u88B8/ocHUywMv5cEgGtVsuQYzxneXlZ0jgAwNqgq3O5nMFCp/EU3/Nz88ET+BadQ0AWeQJ52emD9v5z2FD+vf5cgJ7zzzwoMOXJJ1L83/E5sp7x/fXzT6VSpiN2dnb2oemmOcWPl65mxnAg6X8Jw/Dpkp4n6b8EQQCQ+v1hGD7rsT9fkqTHfvdzkm6W9ApJfxIEwZW7wD9AmhYBuhRhsKLsMcolmfEuyerEiIrDzKVSyTJvCCsMLLIQKC6i+RgnGO1kcTAWMW4xhom4IzAQxnGl4iMrCHyficOB4g9ZFP7vs0o4WnwHIxbYJ2tHRsZHackOjkYj7e7uRpwyaXJgUfSsFZk1HAaUE0Itl8vZ5xH+/X7fYI04mJKsVo31ZlzD4dAyBmSDyI56oUqmxwstHFoyjT5qyf5jUPmsXq1Ws+g7v8f4xwiB5zAccKzJTmFEECzwUVuUKjzMZ8lkMf9SqWQObKvVUj6fN77CgMf4gI8ZSyqVMgMLR479l8ZZpPizyY6TSaTezwcGWFdJZrwSfBgOh5qfn7cz0ev1DG4kjQ0V+JizJMmyUzgVYRiq1WpFMlEYojs7O8ZXrCNBGLLFOD7UpHKW4UvmB/9Tu4cMiSsNnEw/90qlojAMLVM8Pz9vsoyMLxHeubk5ZbNZbW1tGb9XKhVb21KpZHCi0Wik7e1ti9b3ej2trKyY4YrTvrOzY/OjrqTVamlubs5kFQYia8m5ZR7wu68DksYRawxuDIx+v6+NjY2IjCTYw1wJfJEN8xlWaVJTyhw9JRIJHTp0SNls1pxgvrO2thaJUOfz+cgZjZN30JnrQQYQz11ZWdmHDuD9/r0EIXzdGQ4tGVW+i7G7trZmEXyMOmRiMpnU8vKyOWQ+o4usZ07IvWKxaFF85B3zw8lk7sjUg8piCLqAhOB8epqbm9Pc3Fwkm07dF+tLPZFfr3gNNoRB6jPqjAVnyX/eOwOVSiUi+0F6XLx40dBBV0LpdDpSUgA8EWfYG/zxTEV8nATLWq3WPr7zRJBNGhvvBDkeffRR+/loNDJoMHqHOfq5+iwd5JFNcdRSnAgKYEsQVFhfX7ezggwGNg4skUBcp9PR1taWlab44C22A7oaOUrgiWAUAXECV9L4bIZhqMXFxanOgp8z9l29Xp/qQHl5gV3Hv/16UmMdJxAxnC/kmV/HXq+nvb29fQEqaaIDfSBTigYTPcKm2WyajCErf1BPDj9feFiaOPbYxNhC8Kkn70ByFhKJRET+or8hSrMgSiGkiRPmnbaDqNFoaHl52XjjoLODLItnIf3/sceZi88cY9dfKV01xzAMw/UwDL/z2L8bkk5KulQF9c9I+lQYht0wDM9IOi3puf/1R/qfT090gzDqEDrFYtEEg68rRHl4yBPCykN1BoNBpKaQiDDP8fVHnU7HDHiiw5LMWEMB49SgQIASAddhfER9PfxDmmQvJFnULZfLmUEMk5fL5YjDA+wEIwWFAFGcS8YE4c+BwlgnM8HcUSQ+Uu4db+bi4Z4eJkLUyzfWIRvKGiIEdnd3LRPhDVzgFKwPjW0kmYEMBAWnGMGG0Ec5egghf1hHoJUYZpLs9zgNzWbTlD7QZPgIxecNQDKR7XZbxWLR9oe1w+DECfKZ4Z2dHWumQdaZsWJceZgmxnK327U19XPCiWo2mwbXouif8WEgMR/2gudgnDEn7/jv7OzY/jJ371DihJON528+A594Q4J9q1arKpVKBg/GYfPKjDPKXrKHZAh5P+8D7oo88d+BGo2GBSUwVnBMeE8ymdR1111n56xYLBoPAKkqFov23u3tbeOpRCJhMDQaDZRKJTNMifjC86PRyOReNps1CJl3ZrwyxOjwdWpkg5kz2YbhcNxghyYgHslw9OhRC8RhRDKfZDJpcNBEIqFarWaZfajZbJrxTHQc6vf7ajQaarfbNh/WnvPu94OI9zRHAIPIG/Bxx4jn12o120M/VvRSHPLqIa7S2IDk/IFAgA8JWpA9yWazKpVKqlar5mz77L9HOXg41WAwULlctvNSrVYjME7OKAGi5eVl01PUhHvIbXw+o9FI9XrdnKx4Rgkd5DNg6XTaHEPe79eHscfhvTwPfex/RzCEgEQ+nzcd4olzh/6oVqtaXFw0p+JKCJnDv5EJPphGcG1aJkqaOL8EawkUHPQ5Amf8DJ5cWloyfgXFIMmCUNPeTyZfmjiozAd+845fnHBoKJdAxh47diwS2EPXSlGHg/IdECeQ33cCsewXdhH20tzcnA4dOmRID4Ih8KZ35Dz5wAEokGw2awEHT37upVLJ5C6oHOj666+3f3unBgi0h0F7B6bf71twks/4cin2EJ3qv8vZwvGGj1qtlhYXF22eBzWg8Q4yZTKSIsgwbBYC+nGored1xucTCfzOB4DiARng9qyXT9hciigxYY+8LIF80CiONsQZlSZ2l6R98Pi4I/tE6QdSYxgEwZMk3SrpW4/96H8KguDfgyD4cBAEC4/97Kikc+5rj2iKIxkEwa8EQfAvQRD8y3/FIf+H6PFgjz3FFTxGAIfa1yn4z3LIUMQ+MsthQLHEU+fe4eRwSZPaN/7NM0ulUsS54yCRHep2u2q1WlbbhcCEYYEfYhR4I5zDgsAAWkmWEYMAgUt0hIOMQxF3Bhk7jiuGPYKWZ/oovDRRaL5ZTxiGqlQq9gwcJW+8ooRQ5OVyOQID9EIBZ4uoO8Y8DhUKwzvxGLMYOghdDA8icRhxOE0IJhwrDHIcWhxGhC5OjjfkPBQZ44j9ZM94diaTicDG2EczjJOAAAAgAElEQVT4kowpUDN4iGwaTgtCfG5uTr1eT+Vy2aKbNHDxzXjIjKIAqA8bDsfF/gRPmA8GUrvd1u7urvFjoVCIwJHn5+dtnARHvBLEmPNwKmArwGCZD+eYuVPr5mssccowGMis0YyIiD8OHxl5+JRAE/VDHtIF+Zoin6X2RmOj0YgoyzAMVavVJMmynL55UKVSsXo8nB+ej1POWcBZQC7gxLRaLdVqNQsUEFHG6eBskQ2mmywZJYIa8Rotst8oYDKXyAzf1ITsAMEm5jc/P6+9vb2IUcRa5/P5fUYbMoYzzPnind4wwTmSpgcWGbfP6sWdHf6PsQuvQxh1PmCHzPLwvmKxqKWlJTs/S0tLlmmHR5Cje3t7FujwDqCv9ya7D79yXtvttsHmKTfg7CC/CbAwTmSVd3riRDamWCxGnBBPdCUkA8p+sQYe+u6dFvSB3xNpYtB5ncT/kQ1Acr19gIGHYR2GoWVhOQ9XSgRfCHBQV4zeYk/Jbk0j70CMRqMIWsKTz3ayBj6T5+Vjt9u153I+WUvPr9S9oldYL0nWoAu+mUbwU7/fV61WMwevXq/bGWbuyBlvFyDf0WcEUckEIh9TqZQqlYra7bZ1Icd26Pf72tnZsUAjegpdSnAiTv5nBB+x2eLk18xD2mlcBXknw/NVuVyOwMEpe/BEyQP75PUHDijzZozYBZIsaYFuS6fTBs2XFPm3J89rHgUDLzMeEgggczyBeun1epqfn7e9j8/R28ce+SbJGsvxuV6vt6/efBqNRiPt7OwYv0/L+PpERjx77MfkIb8ELKAn0tdkGl11xzAIgpKkv5L0G2EY1iX9H5KeIulZktYl/e9P5HlhGP6fYRjeFl5B552rRVdaE3DQszBGMZaAygHNpC4Jg5dMAMoeoUQ2howZ8AeimhimGEcoRAp9vcFC0bh3IEjVewVAB0wMbRw0nBMMAP7vnTkMDJQD70OIYWjwHQSudz59NsVn3XCsEGje+ZImGQoPd6U2QBof2J2dnUi9FGvNemCcxgmjnSYxFy5cMMGPIUOE0O8lmTTW0juXZENYR7/ewCZwWskG+GwzMBrWnPfgeOEUSbJ6RxQBzrJX3vAs644TJ8lqNvgOjSQoRgcK5jOkfqxkHn22djQa1+shgDGMCYrgFHhFw9nyc2MsGHI4GRiNPuuIQ4CA9oEc73hQP+ezX9Rv0iiDSDtOJ1Fa+N03RGHevV5P9XrdnovhwfmDrz1MCEKp0cRKmhh16XTaMnw0BeCc49zQ0RdHURrDgdijSqVinwW6SUCmVquZs8Bc2COfuQP+Tca/UCiY0idgBJoAPmc9OHc4kx6uXqlUrEOk3zdgv95RYD2QVXHDmDPT6/X21XGylxheKH+cKgwNxuAbt8QJAwH+9pkuCHlNlq5arUYce/7tHROMujhsCoMZBAe/J2gC5I5MMnB9msqgrxYXF413vCHHefYBTdbW/4699o6DrwOeRhsbGyqXy5ZBRsd5Ihjjo/DIDPaIf/t98rBUv47IAJ4FD3F2PboG3mX98/m86VsyW8lk0hyoK80EtFotMxiRP+yZz4jQPXoaITfiUO44IQe8PCE4LEkXL160TE4ymYxktXz21+8pCB8a0/F5KQr9m+bI8B7kJyUFwFsJyhD4QU8Ao0RedLtdbW5uml1TKpUMyl+pVOwsE9BA7wGv9DIVfi4UCnau0FFx8jJmdXVViUTCAqRx8vLCB+997Xr8c36/19fX7cxJ4/PjIdWdTkc7OztWAhAnarexP3nOaDSya3cIKqFv4Tn28yBYpr+2p1Kp2BVRrD26FTsJXeGJ2kDg7aCIfHOpxcXFiI6MQz6ZmzTmZQK+lyOSCezJQVlGdEecF/yegYSSFHHkJVmQ5ErpqjqGQRCkNXYKPx6G4V9LUhiGF8MwHIZhOJL0Z5rARR+VtOa+fuyxn/13R3Hh+XgEO5F63xCDCAtZEg9jI3rl4aAYrZLMUaCI2hvQRG15j79WQJooyPCxGjQPIUBZEhniOxxQIJipVCrSOc7DNDFwMW4RJBgACGGcD4w77yCSsfJCiHVGOPosgYePonRxWnwkC+cKZ4b582yyCTzTR89x6sj4LiwsmIPHXrGvjCGdTuvw4cORQ95sNu07QLKIYjabTRsbjhkGsiTbKw8xxOkFWgmExcMymbvvSgoveKeTOhWEMLzlobleEfI7r9BoYIHDWa/XzQmC91hvnDkMGiLAOHM8x0fQWD9JBg3c3NxUq9WK1Il0u13VajUbO5Fhz//UyXr422AwsIAHEeThcNKVkitbcGwJtBDlJuLIOSQLzPcJhlD/xLuA9xJYIdvh614ZKwYoTlPcoPCQY84o58bLDdYGgwmeIRtBF1FpHLXk7OD4eVlBNpgsH3W2GAy1Wk2lUsmyKmTSgfZWq1VT+mSGeTeBMYJYDz30UCQTzdkg2s+6wP8YnolEwu5+w5lhreFnHykmOIds8IT8gR/9OLzTDe/5yHac4rBJjMr4nkoyqBryC2I/4t02kaG8H3h1o9FQo9GI6DMcAGqxmd/KyorxKM2syDCTueAMe4gzDgtOu6+T9D8nO4NO8IGmOC0tLenBBx+0fQPq7gnHzWdK+/2+wYGr1aoZa3HoLbLaG4boCd7ja+CBOfOzVCplBm+z2YyUBACtxoFBblwJAZlkvFxb44Owg8HgwGyNpAh0W1JkjzxhfBNcgfxasTZAtyXZ3sB73qjn85Rw8F3Gwf7H9QuEY8l59bXTfg44GAQ1kBlk30Dd+AAn9gUyhetqCM4hP0FRoYuRjZwDoIZxitcxs4bT1t7bl+g4SRbchabVG0v7y3dotsaz5+fnTRewb14mYLNiH/AcHwytVqsmj5Ephw8fNlk0rQOwFA0UtFotu1dwOBxqY2PDZAMB0TgMVpLVfu/t7anf7xu0368lAT5oNBpFsnD9ft/grgQJH49juL29HUEJTKsxZH2l/UklbxdSoiIpgsiRFCkDuxK6ml1JA0n/l6STYRje6X5+jfvY/yiJC3G+IOnngiDIBkFwvaSnSvp/rtZ4/zMpnsqeBhWI02g0MriUb9bBd/k/B5P/Y1RhPGN8+sgjRqZXqD7zhKCTJl26MNJRbBidMDBd4nDOfGYHBxEjEKfRQzb5N13DfNMNjDTej+BjvlIUd09EGyfBO25kTIbDod0thAOOgY7RRbQaw5xDynxQMESLmAPGhW8gIE1aNMMPXFBNRoy1JLLr4WsYWT56mU6nLRKOM0cmy9deeucJ43ZjY8NqdiRZ+3ecWQ8j8fCrMAwNtulrVjHsyJbggMaVJ8rQw1RZ6+Cx+jaylPA1ApC5A5vEuCJI4OHBo9G4pohMAI44EXtJtkcodM4FjsFoNG5YwfuDINDKykqEB3HMcFaIwvPs4XBo9SO+5gjDn2CMz8h62CiZGA9D9PWKGCi+kQlzZW3igQoPxYIwaHymCkMIw947lMwFIwVjye8pHUfJlPnMJXuczWatcU28m2AqlbK250ArOcs4kihDIqS9Xs8i1ijr5eVlHTp0KGJE4iSQiU0mk9rd3bVM5mAwMMNhYWEh0mwK/gZh4OU7Dq/POkPU28WNgWRy3OEu7uzhoExzBOLZMSCanmiWgp6gwUecvJPkG014hxd5g+yDfJfKcrls+8jec00E7dzpPIgukmRyiACTNJE7cQSKby6BMcfvD4qQcyn2tBpBCN71tUXsoxSFZsU7ZbKu/ufU2sIDOJPIIF/zDaydteC8AqHnjPvGPFdCZ8+elTRpxtNqtVQqlSxwR7aS+/2mEesBggeZFSd4iHdIk+7T0qQ7K8/ycsTLEm8rca77/f6+bDy8xXvizrs0dmoJoOP84aByxnygjmwWgTgcSM5VXF4TFCITGc8k+2AltgHvQvcS4I1T/Gc4VtM+6+VAvAup/3+8g3R8PT0EmHN57tw5Q6ak02kLAPjzgUOI7cfanjp1yvQ6ejKTmTS6e/DBBy04dpBT42UkNdvSWE9mMtHu9OjpuPPs+1fgGPokirQ/eePhxZIi9is8elD23BMBWmiaL9DpdCJXY3jy6xwP8Pq1Ich2pXQ1M4YvkPSLkv6HIHo1xXuCILgnCIJ/l/QSSb8pSWEY3ifpM5Lul3SXpP8ShuHB7a/+G6bH063Ik09TQwg+b3iQtcBAQ5AR/SZSBdQUg4rIGQLNw+x4L46WpEiTlGKxaNEvnCpJluVAeUmTbpbesG42mybgicoRhZMmTS0YP8ahhw7h7PoskndEiE57BU+HQg+FJMtI5ox5YHhglABp4rveqab4HueRSA1RRuYh7b9riUyEz8zw3d3dXcss+XnhbCSTSYsuYyxT29ntdm0N2F/21sNc2SOcX/bcN2fwmVjWBCFK1NDXwvEesjseGuzhHcAxE4mEKRHegYPFmDqdTqQmEF7AecOphi9xGj2EkH3h82TFPXyHmgNfK8o++DMZN1jjsCuUPY4JysBn+qmPAJpK3SfZ0cFgXDdJVjCVGtff7e3t2T1knBfmxfnMZrPa3d2NGDjwEMoyLl86nfE9Wxj/EM1wFhYWIp18R6PxFQUoNqBSCwsLxlvsL90945BFZNn6+ro50z64RESZDnY06sDp8A2QPLTYNwUATuqznewBmSp4GTnHs8jaku3EkGN/kEF+vRh/vNEDZwn+pVkPexi/twvIFvwG8e+4MQ7awtOFCxdsTB5Wfynyzj3GNevHvvCe9fV1g2aSDfF6icwg30ulUlZvLk3qgAjQcYZ9UI3gn+dxgovz8/Mmh5Gt02h1dVVnzpyxd/hrCiCg6H7ffAbad5j1jnG9Xrd18s465465sr8EdeAhHG0yr5xNZCiBLORC8FgJw5XQ3Nycms2moYJw4r2eJMB1UPMZPgt07XJwNR889o4h55i1Akq6tbVl+kJSpE6Xc0ltpjTJahMU9p+NE/cgsvbIVGQ830O+EyAiIIQ8wnEnGOXrT3O5XKR0g/p59Mn29rY1ykG3e3g6wY84+bl1u12trKyo0+lMDfbEM1sQl877vYG8bG632yqXy8bXrJk0aWR19OhRtdttc0KBdEqKNBUjYCyNdQS2MM0MvUN6/Phx0y8HZa39Gae8QZroXGw3nHb22JMPupJB9hlSkB2ePDqGZ4AmuHDhgr3/coRDjayYVibgZX+cF3ypxvb2diTQ4PfQZxOvhK5mV9K7wzAMwjB8RuiupgjD8BfDMDzx2M9/OgzDdfed/y0Mw6eEYXhjGIb/99Ua6382Tdt8T3FYi68LkiaOIhsN5BBmRQChIH1WhEwYTO9rdjCWcXBgSKKwwOc4EESCyNxg4EhjHDpZH5QYzyWqxtxgYFLqKNF4AxmEKw4ktRkIZxwFhDeCG+eHw+rXiM9hiCNMWA8UAoa/z6b6OkMPCeSwszc+SuXrHXymA6eAzJvf96WlJXNOKpWKzYmAAPPJ5/MW8WV9qPkpFArmZLNm0iRSx7r4iC/GFcJofn7eFDOGvIcsY0QlEgmL9jMfDC32irvLfDYln88rk8loYWHBDG3u4mMNgSIhxFHWvHfaWfENSeB5jAGcQN9MgLlzXnC2BoOBZXW9gZPL5azbLgLZO100JvDZXX9WgQ4SJIDXWVfg0nSqZD44KziY/CESjbGWTqetaxxRcZ+xjUdHoXgRPcZVvV6PNG9hnYFZSRNn+eGHH7afkVEjUo0c9O8fDoeWrfZ1uTgS8db1+XxeCwsLloVijKwlUGoi0ZIsQwUkinPM+nLXFhlMMtDsE/VGjI8sgpedEIYhTSY8kfX3AQN+Xq1WI85h4OpHPMGn8WDEtCySz7RJkzb0cfI/4/wQeJLGUExkCw48z/WZLvRGJpMxo8XLZAKV3GEIL4F6wIhGxvgGJQQh4WX203e8nAbBk8b69ciRI5Y5rVQq+66Q8rV+rJfPAPjgrudHn82NO/C+2Qr7w7y5g7XValkmXJrAIJFdBB2Rq358T5QuXLigXC5nl8sTOPFlBvB6nL/ihO4nyBwneC9uYHvjm/1CL0oTlALrGp9rJpPR0tKSrSeZQ+whj5iYNmZ0EfJWil7YzhiBiAdBYE2RuIoH+8pDcHke9g8y3V9D1el07D3FYtFKPKi3Qy5NQwiwbnTrbTabyufz+2SMFL0ezduWccisz6p6B987LpLsTmxpEvhChpPZ8nW3ZOB80Fsa1+IBmfYlDdhhXicdlO3yMtE3Q8Pp91BtZHicl+GpjY0NQ2chl5k/Mgsi8OnniGOI/TMtGBGn1dVVtdttc96nOW9ebsRlmj8PPgMczx5P4/8nQj+QrqQ/bHQ5honDAXBOpIlA8FAymBRD03fSJALoYQz83/+bTB2wQ3+BOkaZr5vDgPVwCe/U4CSQxfKOD4KSZyKYuU6CuaVSKXO0cOBw2Hy9I04aipsoNEIVaBJNM1gzhDVGCs4WUW2UAA627y6J4+obYkgTGCwQPxwvD6WFeBaKF2eOqJqH4OEUgZEHZgL0jXfjRHjnEsWRy+W0vb1tThs8Aw94QYggJ2vY749bpM/Pz5uQRvmyJ6wPkWyinX4NJUUysKwX8w3D0GoCcNqor+F3ZHPIDOJEjEaTewhR+ETUqatqNBra2tqKCHnvFHpnmEweP0Ppw7844H6fqVPBOfRBCvgVJRpvtOH/5ux5Zw9jycMbqSMEUoUhwvfZO+ZAxhWe985yXAaxtvAhSr1YLNodeB5y5SHBvKdQKNhZrVarNoe4w4lj7OsrCcj4s4mxirHDeaD2ytduIdd8/Z/PEAMnxCnECSoWi9bxkL1iDagNpTEUtZT1el2FQkEXL16MGAzIH5xAT/AHlzt7dMbhw4f3GXkYStOyMnGoXBAE++B1vgsscs4bXBhZcYeGrBHG3sWLF5VIjLsNl8tlXbx40caFccIasG5PfvKTI/KPjKI0MYoJUFJjzPnAMSJzxllFziFbCoWC8YOXn3Hiu/DmaDSKGLKsFXvJczycKx6N9/vC73zzH28Y+zVGJ6L7QD1wdQCBQ++sIds5A1fqGN5www3mTLMOQIQ5O4zhICfbr8HKyopBgOPEGH0mg6BL/B29Xk/XXDOuKOLeWfbAOwsezYOD5UsOCDAfZG/RtXhzc9N4E33O/iAjcVSQZTQo8YE7eJj79wiCe6Pcn3F+j7NPRsvLbmRWnLB1eJ9HasQpjmCAkO/TyH8umx1fOcOzCeBKY1lQrVaVzWYtYMT6QF6nehSaH3ej0bAGa9SYom+l6Y4NwQzI36NNsJA9YT2Rx56QQ4nEuL6UpIZfJ+wP/+74viI/L168GOljcCmippdnH9Q9lGtO4rzgg4dcucSc/PhAclwpzRzDq0CPB3vsyR9S70QQecIJ8Vk1D28jI4ShjtM1HI47AOIc0BmPZhAoT4wAr5Q4hGRG4qlzoEdAK8kuxusjfZQS5YdAQOF7GKlXvvzMQ4cwEjHUvcPA9+g6xjr6GjUPEeDfZLpwJjEYMdAZB7WbOEo+a4lwwWlgjXByfTaJaLjfP4qJgZ71ej1zCr0jJU2CBhjXHt7qYbw+m+sNIPaUKJ40qftg7XxkCwc6rsxwHMlWEbDwThJGO1HWfr9vsFOCDV5pYzx56C68gPImQAEk08OAUqlxDRDZNuaNU4FDwdqXSiVzSMIwtOZOPnPBeWau0gSGxRlFcTQajQjckUAMfMiaQT6ok81mValUbC/4m7otshgoXH83HpA1zguOKfsWj/JT4xZvztJqtVSv13Xx4kWlUikzTtk7FFW9Xo8YAXyGs4wc4rk02CDz7Dt/cmbZK5wxSdYEBeMRxQgsjkYdkuycdLtdNRoN7e7uRiB87AnBDKCM8AJOJLC3vb09zc3NKZ1O252bdCSEgPCSXffE3ZnISp8x293d3VcjAl94J5Cfxe9IrNfrEZiRNLkLDHQD8gua1uAAneIzQfyexjI4Vch3zg+wW0nW3AkeRyahd6RJt1OCBNLEmUWHIT98TQ/nwAc6vcEYp2q1uu/6gTgcM5lMGjrBn1f/e4gxcn8ZOtI/k8Ab3+NvD79Hz/pGQwRG2Gev4+bn5/fVKD0RqtVqmp+ft+YinAPOPIa1r4U+iDhX1Wr1kpC1brdrAQuae0lR55ZgiTTmYw8f9WdoNBqZTOU5PoCDXGNOcep0Omq1WpqbmzMkkCSdP39+H5wWe8Q772TLCBxRP4lcJxiMruF8YAcMBgNzOtl/adJRGATSpfb3woULKpfLajQakRo7T37vvC1JMsCvx7R1BknhA3yeDh06ZCgHyMsVGrzB5zhdHgWBHQKiBTmAoxRH0Ulj2X/jjTfa/3d2dkxv5PN5k/seOcf/PTEGyklIMsCT58+fjzRp4t3xbB0BMuyXafWecUJnMIZpQR7KDHz9NOS7wPrAaLxM4FIBksdDM8fwKtDlYBkQhyX+by9EECq0VSaDw0EkG+dreHxNF1FeDg9KkvdRTwL5mgNf2MvBJaqKwcT9X/HsD44KcFAcgWQyue9+KYQkwheFheEGhAUYGuNijcj2YIBRTM8zgPn4bINvpoETzDg9DNPD4XA0gMWwXzTXSafTqtfrJoxR7Ozj3t6eRRqBaA0GA4tMkqnCwSoWi/vqqhg/6yHJau3ImOIg+fF7vuTnGAcIOQwlhCICnkgbYyLCT/0bCpB1ATLCHxwGlDONi1DsOMfeqcHR9Aahh25i5JCxgzfCMLT6IPgPQ5Wzg3POOvoABIqKrAX8ShaT+QG38WPCsCAI4AM6PpKM00fG3K8zzj5nmShofC+73a7m5+cjwRcPn00kEnbOp2VXLl68aEYq56hWq1lmZnFx0QIk0sRpReniEJGpZkxE4L3xjgHV6/WsZoX5Uq+zurpqWeD5+XmrXfTwWAxmaQwLQrYVCgU7P5xLGlbwLgxwzutoNLIsRBiGds9ZEASWNc9kxle4+Cg3GWuIBhfAmTyx9zRiYe329vbscnfIBwimNYmIZ2noRuvJZyCLxWIELsV6S9FmFfA+0G/2cWtry6C1GK44a5zh5eXlSEMuYKHwBQ4qZ455ImOQ9UBOpcn9ur6WDN1FFB+euVSL++XlZZMb8Xo0SZaJ5x3MG/IZBfZle3vbdJE0yXKcPXs20g9Amjj3yA/2H5732V6y3cA1OWec22mNVR4PIYOo3yJA5XUxtemXI4I3wPDidO2110bWSpIFzSRZgEoa8zRNTPr9vjlbfAcC9s0ZkyZr7gOOviTFB+WRu1xX4Rt28XkfREP3esdueXk50hjJd6/0sonuowRmfeCD8REUJLCKzpuW1WMdlpeXLWvebDan8rx3UHywyctvSRH4rP+5R3DxPZ6zvr6u9fX1fRBi71iicwj4eNvV87mHinOdDudsmsMbrzvETuTz8bIMymni54XvsJbLy8sRdAC1o95u99lOacx3a2vjSxPIwk+D/seJMV6O4voNivsSPnjn5f3jcVIv+f7/0Ldn9LhoWvRjGvnMhI/qx7NlPuWOwiCrRN0ekDh+7y8bxhDyUQUOi4d6SjIcPAqETBgZHW885HK5COxAkglIjHKEhofZkE1AgAIl9QajN8TL5bJl56rV6r76AJwMnC3mivGOI4BixpECjooCJh3v68gwhsh4sQ6su88G4oDGIYHSWChzpw3PIyOIIQtskWY8PgNJxNZnhYDq+kwvkB0fiYcwcBFWNPXB6UBQ+7pUjF34AWWPoczvqMvwcDIMEQ/ppdkL4yVAwN+819/JB39R87S4uGiGlM/UZDLju6W4NsE7SczZZ6tTqZTm5+etvimfz2t7e9syWkTrfVaBzDLQT18zQS0VDi384gMsKC6yXURPORPUzfFsnD34HB7DaUKhk/knYOJh2xj+cRnlob7SpOU8vLy3t2eZKox1n92kVgd+9w0GBoOBZbBwBMIw1PLysra2tgy9gGNOg5lOp6Pt7W2ba9y4Zx7xbDjZ41arpcXFRasNYqwYQh72xLhp6gD/+XvOyDDigPtLlqWxgYLRFDcAWBvuO+UswnvxduN83xtEOCHxGrlpxgaNKYBIe5nryRthBDPYP2ls6HHGWFtpHEzAAETGY3THG/lQC81Y0V/sObAyjHL/TEkm831QkrFxvi6VNfTwsTAM9xlx6BBvmHunJp4R4ZnJZNKMSsZFx2cPSfZzbzQakXpN5ATr72F13qgG2fN47Yk4wXvU4fm7j7lqBB1/ECwXQi4fBFmjGQl6QorCA8me8yyIdWHe3hAmSEYgV5pkveBDbBofXIPI5KH3kHlkfCSZfOTfILSk8b5z/yI6zNsBvANdiszGQSRAnslkVKvVrN4UFBGBm2kwXvjvnnvusQDXsWPHrMHUtM/G14/gJnQQ1JDMvpc/OEELCwuan5+3Wuppz/JrSBZUkh5++GGbG4F79okz5VFQcQK1AdFDgXERXCJQ7dFy8fnxDsbhg0A+SA/Fm7L5QBE6+VLyB8LOizcP88T6JZPJfUEXL6s5u4zHo0ji9+s+UZo5hleBrmSD4sWvCBAPmfSRMaCaHpLo4Zlk/lCMOIf82xfqgp8nQlcoFCJ1dR7OwsGkGYCvd/MQVr7nDR6MY+8oMHbfLMPXUSHciLbhuGJY8jzw9MPhMAJp9TBTImMoFNaX9UYY8BycPjI3ZMKYXxAE5rzS4MQLJYwzDF8yajhnvrmQry8iggwkFMcDBenr11gT5gVsljF7KB1GOJ0s4QkyafAXWWTgbwjcvb09M7iA32JYep6SJgXt8CVrhTDl3ayj513420PcwjDU7u6uOfwY6owDoc/alUqlyGX3rDdOMIGVWq1mDXGy2awOHTpkDTN4fhwiSxbJ19+RAUTZY1DDM14hekd3NBpZPZvPmmIs4tx6qJqHkxBM4JxgJOGMcQ4OcixwJqWJ88E9W17JYuzz2WKxqFqtpuXlZXsWhjzr7xtMIM+oW6O2CEePeWazWR0+fDhSS0YwhvPBu4jckv2jXsvvGeuxvLwcyRrjSHPuk8mkNaUhM05Qiew859QbSMCTCD548ugOLzdw2Lzh7HBsmbsAACAASURBVGFavh7uoKYccegTfClF79maVg/mn+/H5WsUyYLgZPJOZK8fj2+0wnlFZmCwYeDj1HGmPTSUDCKZGQJeyFHOLp8/yGHa2dmxQAO6I66TfeYBORSHz0Oce8oykIE4l5VKRTs7O/vggqwZAQ+cP9A2vIf15/uDwcDqKadBlB8vgZ4ZDocmYzhjpVIp0mfgclkN9gKZHCd4CnknyYJffjxStCYOmc1+xB1D9BJrzp77mk7u7PTvkCZZSuQjmTdkjZ8XyB10LnyIniIbzv/RQWS7kZ00YYLHccg5h8wPOwanJE7ornw+r1qtZvXb086zrzv0a+vRINLB9xiyVvB8t9vVxsaGJFlpwXA4jATk45ksj6xiPHGoPEGIMAy1tbUVqRk8iP/8GcfOYozUi3ImsT/iz2Jsm5ubkeCrD1Z1Op2IXIzLDD9fX85yOUL34cRNy/iG4aR2P34FkefnIAgiKBd/DtfX1684gCTNHMOrQk/0PhEUgneivBHhI+UY0L4mAZgjjOEZBgMvXmBLlMU3ZyA9TkQRpwbBzOckWRQNxYUB5h073s0Yqf1ifjTVKJfLBgNkrBjCOMUoMGoHybT5TCAHlWYPCDqEEtlEYLYYkd6RJTvBuHGyaSXuszI+w0sHRe+8k+3AEMVAxFlNpcaXegMTZs7+b6KLjN3j0dlHDNxqtRrpiOohL74egnb8OEpEuhnX3NyctZomg+gzgczbOwQIZPaIMbC2vCM+bm9IwdeM0TvC0qQDJO8ia+U7DGazWTUaDdXrddXrdYNZrq6uKpfL2YX2XtDjJPIHJQOPeKMkmx3fw9doNCzI4hUETiHGV6fTMRgzzpt3uOALDBYihL7JAhl8+I7sLNl+sqseKoVjhTEUNy75rg/sHD582M4gTiWyxKMW2K9UKqXz58/b+uzs7Ni4402TfBApDEPV63Vtb2/b3mYyGcukYADh6PhziPyBd6j78jXYvskDRjaBGd9FFMMV2ZXJZOwMjUYj1Wq1yFlNJMY1qR6G5A3KeHaOYF8ikdDW1lYkUHHkyJFIlNwbXb52EIcxbohxN54nD9Pi3Hg4FHLJGzyeLzzPcVl3vC6JffdNH3zDKAIcBGqazabVIEuymjZp0haf9xIASCQSOnz4sPExtaxkkXEYDjImFxcXjd98UMhTLpfTxsZG5EL2gwK67Fu81pt6W5wBUCfSxLGEt3wAF4giOlaS3R/KODBMQQhcCQFJ5VneDmC/WIs4f8WJxlQHQXg9rM0HW+FrX1cYr4MLw0lzmThP+2ZWkiLyiPPtERE+wIJj4oNg0vissT8eJk0gb35+3oJplAugH+GjSqVid0UDnwduD59SZkH9HoEQHFOa2EzbX18PSY1fv9+PyAkoniWECKxB3nGIdyGNB/B5DwGW+He8XPHnU5pkubxTg2wgYL2yshKBMa+v2+UERr5chnF5GQeyApuL8x53noE5kxHe3t6OXKe0ublpesOvo1+7eBDPo7IuRfAjf0/7DsE/D1OG/Dr7cgRqbP3nHg8k/CCaOYZXgS6VNp5GHpLomZEMgDeQPLwEZiASTiYE5Y1BiPD1+HaUvlfY/uCVy2WrO0OQ+QjgI488YgYI2TsgFRwyYBQUzWLweGidz4x5p8hDvzCM6bRHGh+HGIWL8vKF6azb3t6eHUoECbAw1jKZnHQ+9WNA6KAk6vW6OdC808NsIdaY7AWNN1gfHD6cQ+B6GFUoYgQAzjD/9wYN64fDRf0FRq2PvgKngXC0fOaJZi4YOwglHxH2fBt/JzzIPhCAYD35vQ8keGihz4AjlDGyaRADb8CfKAvqLH1Gan19PZJJIYORyWQsO5pKjZutEGQhqn7kyBELBHg+l/ZDsdlr1pE6OLJbZKMwQhm/D9zg4JLNYo28U4TT4uHQ/vNAm3xdjycijj5qe/HiRXOciY77C809jIn5AgFkf3i/r41iH8vlsr2PpiYEYnCwkA04bOwPwSB4wV+dgcykCyAwYOQTWQmCQrlcTru7uxZYkCZXYywvL9uaemQD585DxTnj0n5FzXpwzjzsJwgCra+vRwwYfwWONxR9RtXTNOgQjQrg0TiCwZcP+H3k7PtgI50baV4ijevLObvx+nMcNe7GJGPNmSJz6jMyQOZTqXHDKC9zyJYhu6RJ5r9ardrnphFX3XjIXtxYTKfTWl1djeybz3B4I8s304jDWiVZMMlnfzirIBL8pdrsD7W4GOV01KbhEoGlyzltB1GtVjPjG5mEHpAmHTkvly2UZJlH0Ctx8t2KPc/C04uLi5ESC/9cnIX47yqVip1zeJusTjxoyXr7oA1OG2gfb/+wT6AuuOsyl8tpZ2dH6XTaOl8ivwikEgwh60+AG4eQLCEyi7ppj0ACXeJreD35btIEeah1j5N3nnxSwCOiJOnMmTP7vivJrpViXwnmSJMA1NbWVkRu+OfyTvSXz4ZDnHP2QJIFTaX91zRI43Psz6QvQZFktgD2rUeaeeL/lBssLS1FUFfeFvHP9jaSP4Oj0SgSWLkUcebjV0J5IluLLvQUD+LBF+wZhCy9Upo5hleBnmixOIfGE8KDQ+Rrw3ydYRiGEQPM16B5JwnF7Q0ef9EnGQYEp4fseAw04zly5Ijq9bpBFXEYGAPGBgYEECLmRNRSmsAqENL+99759bAajHcUH1k0hD4ZJw9X4jlkLciKYOC02+1INJG6KGliKLDurB/QWSKiGPbsK5kiIofACski8lmEKnVaCDjWaDgcmpFB/ZcXGkAryB4hhD20otfr2Zo2Gg3LHLJG1IsC3fJ1EPG980LMO4s+IgoVi0XbTzLJyWTSIu5eYQLZofMr/MresqZhGFptDDA+AhA4RBgcGKjMLwgCy/J46CA1dGRayF6RCQPuBiSFQI6HDPuoq4fpsdfwCmPynX2B5GLo+M6eQKXJvnnYLtFpDFSfwcW4nmb84Sghe1ZWVrS2tmbRc/+OwWDcMIJzUK1W9+01fJHNZrWwsGAZEBRaq9Wy87q6uhppIpVMJrW9vW0Rd644YE8YI8q40WjY+QNFgDziXZ1Ox7qPQkEQWHdBMo4YyNLYWIG/CBzwc3jEGwn8P51OW42mp62trQgPS7KMmD+/3uH0xp0PCnkCjeEp3qW0UChEfoahA0yM8XNGCHawn8CZGY93csjq8z2yg3Nzc8bjnGUcIOQSwRnOThAEqlartj4+24t8pTNvIjFuhHUQlHRraysCeR6NRpYh8EQjMKCdcZpWmxXv8sj7ySB4Qxy+mZ+fV6PRMHkhyfRTtVq184csA6WAnCKrfyV09OhRC/Ih59FDHtUC0uNS5GXlNEeVwIevS/dOp89o+H2j7MM7FxB3qUqT9fS1owSdPbwV5+fMmTORekGPOBgOhzZeEB90wkaWsGb5fN6apaXTaQteMQf+xrHyAW4CkO122wLO7Cs1nvESIujcuXOSxufz0UcftTlMc8rjgR6IekeIK1KkqINSLpct4cBe4ejDm8eOHYu8258D5AbnDv7wfAtKhD3pdru65ppr9pU4eJoGlY/zDs8mkIoO8vTd737XxtdoNLS9vR2B/rM3frx7e3uRqyL8ularVYOjXo5oEsa74jJbGu9fo9GIdDSH/DtKpZLJcxI2UBwF9URp5hheBXoiG+SzHp6AOHrjEMcMgw0jhkON4sQglBRJeWNc+xoQoly+CNxDJXEuaBBDBIdCdiB1OKcYitTrYegivHg+7Z2lSRtwf/8eGQsiz0R/45mWdDptzyHLACwWI4TIuXdevVFKVo0MEYYqCgKFT+Yhl8tZDQwRWNbJFwvTiATDFucACCvjpXskjjjKlywk64HAi2d0fFTUN8/BcPcZOS9QvMHtjQaMcr7D7/gDNIlmFzgRBBhQYIwLJx0nmWzEwsKCZakJHvC+uCPDevjgB8EOIII0Q4LX4SUccaCVKGpgJd6IpBsn3/PttoFfe+giGRB42zvfccfMZ8OARxPp8wEK9p+Ms4erAh0lQ0swxWcvfIYLPoxDWAgYeQcf5URAwDsfwM3iEetCoRDJspP1DcNQR44csXcxLuBt8CFzI4MDj1AfVCwWDRboI6/IJzIrwJngISLcBDUw6vg/P/PZBs4Bjj7ZcoIaON3xyDl7EF+bdrutSqViUW3WkhpOX0+CLGCtIeBScafPy3gIHmEsYRjuu+ZCUqRToHeifBCCbtMEu6TxZc0+UOANcoIkBAAx2n0dtYcEgyahGRX8A+wUOUCQ8ciRIxqNRpZ1pyY4TvwM2USWN24sUuNK8IExQl6H41A/9NBDJgP8euO0enmK3KBLdTabtYY6o9FIq6urptt8hhp9AJzXQ7KfKJFVYEx+fzGO41cTHUTI2YOItePsSpOuvNIYasqaegcD2QdP+n2iLACZIk0cR84lGTX2m98fOnRIe3t7kXKWIAi0tLRkDiDjJcMMT3L+CZx72LSvXUYHYRMQFIFnQSARdCU4TfBsNBpZ87M4Md+9vT2tra0pnU5ra2vrsg68z3T7Om//TNbW/9sHx1KplK677jrbj0KhYHBpyI8Ze2pnZycCp47DVUHyEBTnHEgH32PoyWfkt7e3rWQDeYEtET/r3JkJTJgeC6zV3t6ednZ2ItlJnyCQ9ncp9oHtSxHIHDLZ8TPUaDQ0Pz8f6X7ryesa/3sPK+W5l+ONS9HMMbwK9ETuMfRGcFzZ49zgoOXz+UgGD6GEIcnBIDIrTeBdOFLecUSI+ro4osEY6tRHAXPxkbJ8Pq+5uTnLJGEMeGOL90EYDnSlwymg0QfGAMoSiB2ODn9w1hDKZGcw/hEWGGTMByPdO01km3xnSOqdEFgYhTiKZDmlSf0Ec4FwTPgcMDbWBoGMokHw8TMUH937GDPOI80wcDp9kwucBRxWD1X2TrIkuy4Ah4LOptRhYcywdkR/cYp8lhOBD9yMv+F1xuGNbqKoRMjhBc+TGKQ4xKw1Ti8wNuZKdo9nAMviO9IE9uSbw3B/X7/fty6yQE0rlYoFENgf76zH+Z3zsru7awaFb2DgDV/4k7HRmts7lDh4rCH1Ud5hIxuBjMApjl/wzRio0eS7OGutVsvuAZQmBfdxI3NnZyfSKIHneCKiTOCk2WxGrjNgLTY2NlSv121OOFycE7JVrDeBEZolAbWWxpAyEBOsBePm7LJm5XJZtVrNZCvvBhKZTCa1uLioWq1mTizkry2JR/PhEYJvGEy+HhY6CLaEwYwB5SkegOQZw+HQ4F/TjM440sCjFqSxnAICt7W1ZQbIhQsXzCDmKp58Pm93b2Kk+8CjhxlLk/tx6/W6ZXVx7snuIqd8kBIjkN/hJMYJXj537lykVCAOVSN4SKZBimZl/bN9h9pcLmcGpK+NhG/gM3//J7xK0AJ4HsFWZKDPPtF9+/FC1qYRutF358YpodMl879cMJsMSafTuWSb/tFoFKnt88YqvOB1JJlMzs40pxEbxH8XdAg8G3c6v/vd71qTOfjHN3aDH0CWZLNZ7e7umkxBv6FTCXZ53pRkCAjOOGsM4mN+ft50jrdReC5NruLEeUdmptNplcvly2YM/Xp7tJAkC9TxO4g7rOFZn+HyfOGD3vHzBCKHjL4Uzf5WKhVzwDk3PqEwzamJy65CoaCHHnpIkiKIH9adZEpc/3Cutra2jD+97u50OvvWNg7N9E5YvJTnIEIve1s7DhXtdsd3fU5DDUrRbtRcF+PHAF1pHTI0cwyvAk2DplyKOHxkRSCMewr2cQ7IhvjuemQIUE4YwTg/OAsIJIQVQtJ3k+PQAekjqug7NTE2310PQ5sx4HB5oQm222e1mAsQA6Kcw+HQhCafIyPlFSqGJXBTv544XAhzD3VFcVK/6LuA+ogy9QJAFFEEPB+oExksBFqv17O6KjJlZFR9pHphYcGcIUmWJUQwoZRxDBmDb+TCXuA0UZuFs47BjyDG6WR9Njc3TdikUinLKMUVqHcOccJZA6DIZGDhVQITOLCS7HNE01nLeDMeajhwuHy9LXvPGqyurtoeMQZ4vVqtanl52Zx61oPPklHi2gL4ESMOhxWnxtckAIfCqYe/iCDjINDVECeH/eEMJZNJgxhJMkgZcBQyKpxnggLwIuPydTHsTTxYxfmh0Y40aSlPlN5DI6m5gCeZk28oBSyObIeHz7DWnC1kADw/GAys3iibzUauP8A5iKMM2Hfu7COAQEaOekOcX5rasE7UuGDsgnBAjnl4JfCzRCIRUdbUTsXbuTPvwWCg48ePazAYWNQYCKY3kL2h5g1v9i2OKGGd4u+TxvoHvp9mzHljjxpYaZL1Qb9gePFcf+cn1/XQtdA7mOiiIBh3MsawRubCQ7lczu7iJGLPWLg3Fd0AWoPfI+/iBD+x5xjH8Ug8+xAEgRlbBzXXQJ+DEqGRBOvy4IMPGtplWnAgXje9tLRkgV70DVlaaXI1BPr3oMzE5TJ9BAulaCaOIBQZPc7XpYhsD7okTsiKuIPpkUv+eiMon89Hrjbx30dfdDodOzvwvIc9U1ohRYPy7D2yBNnvYcvSxFifm5uL8DDyBx3u4f3oSGwogpEgIZDtyGAC4chqgu9nz56dGuBgnp1OR8vLy2b7TQsQeSfByxTmC8FH3W43IhfgQ77b6XT0lKc8xfYD5JMPXvn1I3hMxpV3+neQMCCwD++x39PKr+IdOlutlm6++WZJkyZWjUbDdImv9/SEXCNYSFASnucqEU9A7CHPs9hwl8vk83xfxx8P0BK8pcQm7jh63vDBR99Fljk+ngzmgWO94m/O6HHTNMz4QRT3/FHo/Fua3F2IUYmTh3DnYJKhoJ4ljjf3lxHzN84eCqJSqUQcEWnMkDg3KFEgSB7S6h1bIrUICwxknE4cS4QvnbEwrv13mTNOMkZtHDLLGMhu8LtisWhCBueF9SIjgSGAQQ9UllbTGLM+I4ZRTiQZ54coP5kBDGAUPwYSRjzzwOEkYunHi9GBE4NhjlAESsfPiajH19F/n8wfXVp5DwYQ8EzqOBg7xhrv4Z2sK5/3kFVf8+qbOfjMJtBNlC/wQXgJ5YpiBcaMYYNjgkEryeYehqFBs3DSvVCWJo0ICKAQfSQDvrCwYJG9jY0NO4flctmcGoIMGM1kGCqVilZWVixCz37j4LJOBCpwNjGKgyAwgx/eItJeKpUMYrq3t2f76zMVcScCOeNrE2i2QMCpXq9HglweykIWxtcY+khqqVSKXGOAIeC7neL4+1pMDDsvA+Fr3ygEY4/9IABWqVTM2QGCPhhMGuHQltwbcawDDil1XRj0GGXwGPczSmNIk3eUPBEk297eNvnJ3mHwQtOcd/ZEisLAeEbcmMJhGQ6HdiWCdzJ5Rlw/cbbhEYweEADnz5+XNHGk4Ffg2NI4W4k+IBtLsIROlugUZEEYhlaDyXkke+E7ncIr8AF88dznPnffenmIIFkyj9qA0AnoSj9/KWpg+8BnKpWKXM0gjY09P1cpmiUnk4K+PXXqlJ1df/G7lwVk0KUJD8TpclkC6uQ4p+gD3uNh8peDoVFv550nTx5ijP7zgZVOZ3Klg4cy12q1SBMS/2x0ejKZNP3NfYmSzLnyPIl8qtVqkbEAH/VQPE88H3QO2WaCPrzDZ5ngqXw+bw4JshonygeeKZmRJnec+oZanpAFBImRkdNq8rxs8DIlLpPgJ5r2QN1ud99zPTQYp9c/a3t72/6NfsVGQ7973UGAzgdOfPCFc+t/Fg980NQHojYUW4SxxoMznGWgyeyBt699PwnInwn/793dXZNj0ygua+gBIO1vTAk6Axsofqa9c+3tee9UM7640/lEaOYYXgWalu735I1sbzzzs3j0DgcGA9k3SMAY9xAcIudklcje+Mg97/CQNqCZPuNGowui6L6Yu9FomADEoJQmRhuOg28MgqOFciKChBGLUUqjChw0X6PoLwT3DhSC1zfywKDkHici28wbA5r583lqD3xEnagXRg0OAO8nM+ZhGER5yuWyORbAcJkTNUEYKTjGPpoLD3ijLp/PGxwJ6BvOH2uFMU8EHScVvut2uzp8+LAZ19QY4qSw/6wzcF8MBYITGB9k4lhb4MKsG4oQ5x6IJLzJmuOwIABZDw+99le4YCTwWZqj4OThGBNFp4aKphmeD3kOY56bm4s4XZKsU6k3COAJ5u+zeLVaTfV63f5PxA+FD5wV55Iz5O9e4j1kzrioGadaksGu4NEgCPbBHz15Y5jmAPAC59CTzw4mEgmDyUpjo435MHbGBH/64BaRduBHwHfpDAsUjD0E+gpvk0ViXEB+PRQVnuFsMy74BZkBzG9aHU46nda5c+e0t7enSqWyL9NHU5K4w9Vut2287XY7YuDjMPizTNDN6w/OaXwfqtVqZBySIg4rme54gxtpP5QU+QePeKezUCjYuIFd4wRRXkDgRJrUJPmAjCRzhDCIpbHMxDkhG0UjJs4CfE+zLfi9VCrp3nvvVZzgOTLG7G18rdLptEELWdtp6y5NjFaCBf5qBkkWjAIay/pLk8wTtWZhGOqGG24wHU6WFP0PZLbf72t1dTUCeX6ixPdA5+zs7Nh69vt9q8Ejg3Ipoq7e18J68kFP+Is5SpMadml/qY2H2nk5xXU2hULBrhzwXV8J6BCclSZOJ+eZYCAyhvHBd8hHEAXTml2dOXPG9t7rIPgbnvCZT+T5xYsXjZ8JemIbpVIp684cJ4/iuHDhwj5Itie/ZsgQKdog5pFHHrE5NZvNiANCKQd6tdVqmSyhAzAyHfKOJboStAafO3v2bOQzBJs9nBPZAszVn9O4HewhvL5ZE8E9ZHqcP1mzarV6YGabNYD6/X4k8ObX2Ad1ppHfI3SOD2h4AiWHDIn7Dt45Zr6SjBchbwtfCc0cw6tAl4N4wJQHwTf8AZBk0EAi7DCxr5vBsIVBPFST7ADXEeAwIAyAzhEZ9+PwTR1w1KRJXV2/3ze4IkoHpvW1kECt/H1NOKR0RKUDHkYTc/HNLYjg+Ui4r2UhW4LzyDvoYofjKU0ifX4NWTNghd7wicNaOdSsIddY+GeiUMDXSxOlxV5gvEhRoc1+Yxh74YfBgIDFeQjD0KJMGMSlUkm7u7vGV/ATDjqdFfk8xjXCDOfSBw68Uw1vsU44YURJieoCsYEPfZ0gQrlQKKjRaBhfBUFgBhfrDm8C8WVNcrmcQS0pHmd8REQxLnHMcVJRNGShyPA0Gg0r+oeveI6HQnqYHXyYSo2bp3j4q99/xoZigP+oLwzDUIuLi5H9LRaLqlarKpfLqlarNh4MHA8R8zWocaXBeec8MT6fPTp//rzxPMEUX1vS7/d16NAhmzMyCvnjjQ+feaYGDgjtaDQyp7TRaNh5Ql7wbBxLziD75WtZge75uimyq/BrLpfTtddea00rfFBnNJrcX+hhc4cOHbKW897wwIhPJpNTMzvU6SFLpYnB7J29RqNhhoY3UKip8W34WY/4nnKdCDzpG49IE8fHGzk+S4je2t3dtX30l3MTbOG8I/P9ugKZZt18tgRDncCdh67jWCFvORfwHFkBSglAC8QJp80HXnzHRQhEAPrBrxvrC/nmbTyPcUvSo48+avIiDsvlb5xvaj/X1tbs0nLGCi8RLGFtD4KsXc4QBPHg953x4Rhns1lDyFyKOP8HQXg56/4KGJ85SaVSlkGK2z2XqqFEN3A2CETXajXjEYKGknT69GlJMj1E/S/lBKBu2Bf2Hz4lwAnct1KpWO2sr6FGVqLDfC0xcwRhBe/73xF8oT43Th7hVKlU9l0tFN8bKA6lZV+OHTtm+4aO8GsMXFbaXz9ILbt3Br0MYR1YW8g7vOgwnyEnoy8pguiAfPdk3skZpWwImySOMPHEd+r1ugUFkVeSIvIKojGWn6NfL2zmyxF2kM8ge/LOoEfvxMfux8Vz/bN8kulKaOYYXgU6KDofJy842VSM97gAwOjGSEY5kw2RJgY8Dh/QHF/rxSGGqRFaHFycOBwWDgRwCuZ28eJFU4Q+u8K8uHPGRxk5UIzPN1rBAfWwH54LBIaUP4YeBqgky9ZgAGJ4kiXj4HjYKg4DRibrwpiIrHIIGV8QBJaB475HxsLl6uwHRiBOBPBS5ocSJWNChg2jyzcDoqOjN06kicMsyZxZeIoMKILUF+0TSWX9ELSlUsmMABx7IrPsg+dRnAwyWD5TTDYL3uJ84ERgBEkTZ0uaCEC6vXmhCaSQ/1MfyzzgXZ/Rhf8QwvAtWQ8cfAxfajCpNeO51KLBYxiy5XLZ5uqbFnh4ow/eINS73a7m5+cte8F3PM8yLs4ud3uxNgQp4hFMzrSHUnp5g+L2sLfNzU2rt407IwsLC7Z+nCHvPHl4FQ6A9P+zdycxlq5bepDXv6PJyOh2dJl578lb53auomTR2GAkS4AlbDOAiREDkJDAeGIkjOgHDFCVLCHEBAaAsARmYCSPkBEw8AQsMJ1BWGCV5LLkuvdWlU+XXfRtRrcZRD7ffv8/dmTmOZbLtu5ZUiozI/b+m69Za71rvWt91fYYJ391dbV1udMEYGFhoQ4PD2s8HrfMlEBRUhSzfkWAiKOla6bW80RzAfrk9PS0dZg0X5ya09PTVouyuLjY1h6H0b4hdFIGUnL8b2/vOt2mXhAky/nKzpnvi5qTDGrlz9y3aqo/iWBaRqWzYy0dohMsqhvx76R/W9POdUsmBaopujOqriBT1f1awXS65+bmmi7K0gGgchZAsabZAt11h86u58pMyLCpEAH4BTKGwAcoTHspc8V2sCMCaK9evWpUc3ZQE4rh8R5Dahp5KGNBjo6OWu16MmK8vyBu13UP0lVTMG5mSTaH8VwZyLGHqu5nDB+iUc/NzbV1mFnmqrt5FrBG/ayaguV0ttm5PDczM4bZwXzIupLptU4FogBSPtV3vvOdVqPNt2HrrVm0UAEtxw/MAvjObcQQcR108eE4kdRNc3NzvTUCnAyvgR1iP83q0iwJQIbnJU4mk9ZhNYEYsc/Ylrdv37YSlnyHpHQOsYWRbwAAIABJREFUmxytrKy04IKaOuNt/szl8P28f/pf7k3fpa4ViM53JJILDwVmrNXd3d1eqVZV3dPZc3Nz7Z1mnYWbn19dXe0BzLQTZ2dnM2tVP1a+BYa/A/KxHYKSlpmLUjQza4R8JgEUoMYhE+VlWBnwjFRReoxOtiu/urqqo6OjRvvQOe7k5KQZkGyMIXLL4WPQGG0KsmpKueLEoh2I2HFsKZmM4AEYQwqMbCjHQVZTtimzbVXTA5JF2xkJhcacKAAiuwhWTaOQMhwMh2smndL82sA2fDphc3PTjpUUU2ZaAVAGCOXR+BmnzLy9evWq16xleKQByp2MYzp+shq6e1pnHGjZNgCWsyOrwBCYTxlJijsd1WHNpWtpsS5bkGCU48lQCz7Imq6srDT6EaMB5IncMTwZeWNQrEE1Le6N6nt6etqcyYzoVk076CU9cjQa1cHBQaNFc57smaQcez5ZYk4IMGJNJnjNxk+c32QMJHAdBpqMZ9K9uq5rlNmdnZ0WJKm602lv3rxpeioDFoTjbpwJnTA3d9eN8vj4uD2bLCjQt7u722omfTeDB/YRQK/bLOcwG45oTuBIjcvLyzo8PGxgTwZbYMNY7O/vN4dIcIaOsKcIB8d9UxYXF9vZiklJF21OnT8M9JBZ9FJraBhNzmy1vZPA0OfToUmnJSPoo9Gox9qomtbYZc1xvrt9LDCT9a3sijNBvY9nEmQTRLTndYqldzOIOavJG/1K9wiKzcoivHz58l4LeDJr3DQvGgI1R4nQYVVTYJn1r8ZGvZVAGAZDdiKWWWEPZsmHHMGrq6t2Npr5VH/NCc0u0EPJQAcbkw2/UgDLubm5Xg0hSuKbN28a+EuK49bWVq2urjZAn+9Kt6TznD/TqCv3Eb3++vXruri4qL29vR6d1XEV9pt3t86TqqqEhh5WYkG32u+j0aixdIYZztQJggoajh0dHbUAxlDMR9bjLywstKMXUlJ3DJvquPZPf/rT9m6fffZZb76xhoxtPrOjWDT0euie19fXvcBGVV9nZZYygXPqLALkv3z5sveeec5f0l/tka7ram9v795ZgMn0EoDNBETWkZInT5703jfB9MXFXSflh+pyjblO1gLKVffB7q/92q+1tfP555/fs9PZ8Gdvb6/tyWFgESvjm8q3wPB3QLJg9GMEGJrFGUbv1BkqqTsAQiq6qimlK+kPnFsKTjYiI2yMVNIUReV187NwZQizHm0ymfTO2+IsqyejVDnispgii4Alh7xqev5VOhyymicnJz1QLVrNURSp5cxwAjUdGEb+sj6Q0QS6FaWLAqHhyCqZi+y+ls1CZAQ4tObLWKQyS9CRoM+4Z4aWwcg6n3RQGEpOmvtoYW58x+Nxo4HJjiZFR+MJP9ccJTMHgIFnQgusqgbmc941ktHAxToGZlDAsltiKmvBAGvlxYsXjdrIGXj79m2tra21ezMgHGv3Pzw8bGC167qWqeAsoIVyjKwj6z8dAZQw3833U2vCUdPsCahMgMKQcyqtIZ17s7kKcGz8ODxpOFM4nQI6VXd0RUDt1atXLSBg/jLrqJY3a0qsB5kazlzqDnrJ/hWY8Z6rq6t1cHBQL1++bAGOzO6kYcxAj7ViTzif0j7Ps0KHDZjcQ0RbQEo9nIi/dZkOwfr6ei0t3XUYTofYeNC15swaoRPI4eFh0xW5xo3/0Bn3PClApGyqg9VJMgmGz5/PMwSWms9wkB2hk7RJ2ZakSdM5bAmavMyazwHJCWT93vrM2kZAe1bG8PPPP6+qO0qh9TAru/jo0aP60Y9+VEtLSw285BinLc5nshZSBOjyzEcOoDl3NAb7pmnGyclJy7KwkX7PXs2iD1Z9uJdB0hCzwVrakAxQDSXXTmb2ZznEeXYdZ1ZZQtWdsz8cE+9gjfgOoXOxLqqm80KfuW8yMPL/6+vrbX9XVasrB7AEw+hrDKu1tbV69OhRffLJJ03vChrSc+ZH0HM0GrUMIP3y6NGjZgsBioWFhVpfX6/Nzc0exTYl/QY+1Pn5+Qc7T+Ya5m9U3Z3lxy91hA8BsGcx3R49etSOpknJ/9MJWAGznmU8HtfKykpLKAx1HeAliz5L2ICqamwvOtyYY5el+H8GYQQrvWOyUarudyVNWunV1VVrODVLjMEXX3zR2EDD4BtR0lB1F0QZZuQTS2xsbLSutOrvydAufV35Fhj+Dsis6NuHRBaLYz2kSnLEOIIJlBgT2QT1ehzbNMJJO6XcUCiTypS0CvfjAFVVrynN4eFhHRwcNIeWA5EtdZNakbVB6jZksjhtlADHwfvJGjF26rOSgruwsNAO1aaEKIKsueJIGz/PJ5tSVU3xv3z5sjl6WU+Z9TNZe1NVjRp3c3NTu7u7dX5+Xru7u73s19u3d4cN7+3tteerqgZSAR8ZWPdE1cr6PtG65eXllrnybFnrc319Xevr672a0VevXrXvCEL4/83NTTuqAOijSI2f6Ke1pW7B/HO237x508CoZzbuAECuWUbMvfN6AiT2wtLSUn3++ee9+id1a8fHxw3EpGNsn6l3kD2y9q+uruonP/lJj/6Sz151P7psLVh7MozW29nZWasvAlATLHB8szusebDvvKNr2gccHBlb3xkCi4ODg7a/NOx48eJFW9c3Nzc9YM+gGn9MgqTgWBMoqZwY7yEzfnp62o4l4fwbR3qALkxaFyeg6i4jIIAEZHNCT05Oan19vTnbGQ1eWVlpGctcD9aYSCx6pOCMoByWAPnt3/7tNhfDgKB7WIv29tzcXL1586ZXQ5Osgpyrn/3sZ02XpMzKIvnM6upqHR0d9dZV1dTZzOufnZ01/W2+khqflOAvvviiZd8B82R0yMTf3t42R9g6Tlr/6elpO7Pw+vq6rTOZdMcjydrSxQJt2AyzaLZ+9sknnzTa/KymDqenpy0jYR7yeulksXl0CLH/37x50xgwhKNLb6BLAs6vX7+u3/7t325ZaGOQtVICl9kBMuVDIAGQkIEEzgRyUTT9eyjewVpKJtBQrKmLi4v2XFlPholQ1T+a4PDwsKefhs021L9/8cUX7Wf+tv7YOc9aVfXVV1+1wIQaX9c/PDxs9tx6zHfDNHIOqGCDccwst2dUBsD/ykY1b968aeAyO2jyB2bVqn322WdVdZc1u7q6qhcvXvQaA6akPhoGTn3+13/915ueH2aWlCj5bOoMbJdXr1719kTqI3o0+yQMr8PuO9br4OCgsQjys19++WXbV0N6Mb1SNaVJ5zOj+w73hefhGwx16eeff16j0ehe4DPvn2N2dHTUGCiz5KuvvqqqO9/i9evXtbe312qfh/f+rd/6rV6t8pB1ks/gbOGqO1ud+iaDK99EvgWGvwPyoaLUWcg+HbrMHlJUov6AE0dJtDazh0lxQIUSlU2QwPhnrQXwgcro5xxdEYvFxcW2MdfW1ho9pmpK48lnrZoW4sqwoQP4rnoQ70nJpnNHERhjTiXwyLkU0aaQszYFD51R8VwMM345ow2MmRfP535AE6OfDR04hmqn0OZkFdWJoVF5Bs+eCheA5xSq6fNOVXfG4ODgoAHfYVc+7y2TlOMnS7K6utoyMAISxj6zseb/+Pi41Xzc3Nw0CiL6iPfRARL4syZErQF7gDCpijJxSWvjwJunhYWF+uSTT9qYeMeVlZX69NNP27rODm/2jvVoHmQW19bWant7u72TznNJbdPCHSjPQAdHzNqzhlCEZUSsPzVfh4eHtbm52TuuIoMkgNpkMmktr0VNV1ZW2vPag8POd7prZn2RyLC6J3/oEuC9qlp0+MmTJy0qPR6P25isrKy0DnAAPCd0PB7X1tZWc5y829bWVh0cHNTTp09bEINhFIAQXd/Z2ellpQEV10MhFKygz+hLwNQeMV6PHz9utZS+K/i2urpaq6urPTrX9773vVpfX6/t7e17FCbAcnt7u7a3t3tRZ98jeQxARuNlSmZlFYa0JM/lWdX0EZmcBLAyXRsbG+16uV6fPXvWfr69vd1rerO8vNyaNGRdbFKc2RjvBGBsbGy0ObFXreek9S0sLLTunZmtmZWhreofc2Jvz2rukU3Ccp3OGls2LwNTVdPMF5s2KzsrE3N6elrr6+ttPr7//e/Xj3/84xbcePz4cattpeeePHlSo9Fo5tl1VR8+L9kROpqWZJ08Wqw9OKvBDWd4eXm51tbWmr6dJfTL48eP23g+evSop3eMd46tjJTP5Vzxk0ajUTtXjz5it4fMqPwOto91cn19Xd/97ndrPB7X06dPm67jF2VGX+334uJibW1t9WiQ1qT1zm7xCTKjnX4Qlg2bMBqNant7e2amzhguLi7W9vZ2o9zOAoZJKU4dxDZU3WWmkhGQ47yzs9Nq6av6mWLslmwU4xqEvWPDrKXUPTJ5c3NzdXJy0sZWtt53vvOd77T7DxkRW1tbTYc6jkfw172yi/JwfJ48edI7FofwCRKUsa+zxpWP9FBmM/fC7e1djbE9PLTDOa7Pnj27hx2yzCuZUOxfPtNDe/Nj5Ftg+DsgH+L6DqMCKZzaId9b9FsUmIPIWDJqqIxJ9ZThGdYaMbzppObml/3g2Kntqpq2Gk/O9t7eXi/qqRU4Q7ewsNCiawwScHV2dtY7MBaYkc0D+ChatSeAGgoI4MVBpdBxykX2jR2qn/f1s6QiMiDz8/ONksa4ZvOG7e3tWltba/8HtPMMM3ROzpNIM8fX/QEz2aKkvZkP4AvNJBulAI/qAav69DN0vwQrmT1F37XecmySToQ/DzAygMYs6958jxMuop/AFfhCvbQnOPMAGJqOelLjYk0xvNZ7Fr/LtgJ/9sLi4mKdnZ01A2x+rB3gueu6dnSFjLossH2HLgSwZDZZwMYa4UwAwwsLC40CZpwB4Nw7MrOPHj1qZ3S5jmu7X0YedZc0Hhw1QRQNF2QU/Q64z/2kVqrq/tmI6expToSuymEXnffn2bNnbTy8d9acJTWZ4+VnAjPGn25Dqcy14/1QPTEJXEewINcO3ZFOgiyo/Zfieqenp3V0dNSa+TgeICPU5+fnPceNWL/Da+fRQURmSRBrWA/n+umYj8fje4D04OCgFhen7ftFqVOvzc/PtzWVzYtGo1HTK3QLW+XfKJQJJq3JpOBZu8Yr69ZTp6ZwCnWtZFOGIMq6tS6HktcWiRdQ9b5sBLqjmtect6ppHTMnlnMriMhWoSGqcZXFmgUGqvoO/CzZ3NxsNYR0z/Bagiez7mG+6RYU8GFAwhhUTQPGxtB8pC3OwDi7n5/L92PT3NOaZ6eqpvTQqmkmHVhkD13XesggJ/uT7Cy6yzoR9KMX7BEOu4DixsZGL6BJZ6F1rq2ttSy9Uo4f/ehH98ZT85nr6+tGUd7Y2Ji5VnPMEqxMJpMGihMIpk9g/PI6GSDpuq62t7drc3PzHrWYbG1tNXCWvsdwf/LtBOSVdnimqn6GbAi8hp1zAbpkGfGNUhLwem92wr0lE8isZm0Ec+Ch/WesV1ZW6pNPPmk+Tf6OqMusmmZVU8yfDHQy/lLHXF5e3rMRX0e+BYa/AzIrQvmQWMSyKhxFixUIEW1hOBlNFE+GyYLmjNowapYscL9P2hwFZpNmTdBwkz958qTRgWQ1RIGACMCGYgYcGEmOA2e7qu/AA20i9pwODSUyEk3hUOKMHeOdyiIBxOHh4b3MQtVUUa2urtbZ2Vnv2p4XWARMvvzyy56Dh4Lm31XTluccexFBFJWk7gKyCayT3puZYc6WDmLGzDxzwMxpFsibq93d3daQBECxZjj3nh1oMX9Jac5ssjEVOTNvgLz5Rdm1phlXmSbzoiOnWjwgTWaZA2kNMTwAvTHF589z72SMZIxl4IGgyWTSa7bEwCUlmYK2N4ZBFWPAKWCgnHPHqRftNs7mjWS9p3olz2C/CfQA9GRjY6PVR+Yh5Z9//nmjdYmKuyenloNtnegaaB0JYqyvrzfaTNLcz8/Pe/RKY+uML3S7k5OTe/UiaMz2U9KQ1enOzc3V9vZ2jz63sbHRsr725+rqam1sbPQojxmMS+pfZpWH2RV6QAAhxdwD9Kh5nP6kIuX/853pr2F5wtnZ2b0ApCwDPWOP5T3MHcm9lceq2OcrKyvN4RCIyXrJqmpdNWXNZESAHvW9gobWrTVNhxp/+tneTcfOswqODuVv/I2/0caQvUiWBXn8+HHt7e3V8vJyo5LmfBgL+qlq2qgkqdNV00YnSXUml5eXvXV8dXXVqIm/9e6ct8w43dzc1M7OTt3c3B1m/tAB6DkuD8mLFy8aTdL6FiAR8LOGZmUMPafMNwbRrNrODA49f/68PZ89QV9W9ZvarKys9Bz+9DPMG4ZK1TQIIZBJz5Oss/fu7AwAJ1vMXmGoeM6sXxM84C+gg6o3BzIPDw9rfn6+HXUjMCpoKrBkXeswzp8bCl1xeXnZgmB7e3szgyG5DnINy6rl/Bjj/Jy6f3OVa1igcBgQy2dmR4esntSHWRPOF0j9lFldMqTmD4FPXoueubq6uhcEysy+unbsj6o7XTqk3W9tbfXGLG1vBqJniZ9/9dVX7XgdMmQ5pG9NH6UIygnGzToKxvN9iFr+PvkgMOy6bqHruj/Xdd2f7T4UkvpWZsrQOLxPkmZZVfccQNFzjpkskWh7OgCiZJxdzigePac2Mw6MNcc+s2M+6/mymxxD4R7AYVW1CNww48LxBxA5xn6vKJhDoV6AIwk4O3pBppAjx1kEEDhs6ocyy8iRFgXMwn+OG4MyGt0VlaNuZtOV29vbFrF89uxZM2TmUhanahowyKyFa1RNu6F6/8xMZiSMMQJ8gMR8Zk6AMcu1BuzIYplfhdLpjCpMT7DKmKHG5PWsIU4kI5SO0f7+fmvaYt7UFHlva8XfmQFBhQGCZLqsfZkJ0eDJZNI7p2k8Htfx8XFrX20uksYMoMmKo3zIJmoWkg1szHHS4ubn7+r+dHUTqbbOzEtGPo0Lgy3jMnQi0MT923jTA/ZVrsmqad0TJ0amScvrubm51rAn14fPV/UblFhXHLEhSLIP6CkUs1yf5+fnjd66tbXVe2fZq6TJ+6xMrg7HWArp5Nzc3LR6oczcCvgIZJgn91xZWek10rD+892Ml3epqnsHoO/u7jagYv/7Lkk6XJpdnxmCQMGvFAAdqFlfX7/nnFXdBxQ+k01o2BY6pWp6vqG9bf+dnJy0DKCAU44VWh/2A4cYA0awJI8I8ByZqc3MMT0/FM+KDihwNLTJ6Ndo/saLcBrpm6pqOijvUVW98QAw6FCBQDoBcDbugocCWuPxuDXgsA5mHVFQ9WFm0ne+850WbNI5WtdnwSljOStjaD2aD/Zzln8jG760tNSeN2mF9HJVv9OioBYQmmuTfc8sirHHArAm6De6jD1nf9nUi4uLFnQCPGbRbGWqXSeDEnwx+2lxcbE16BMUYccPDw8bgOT7YJ7c3Nz1Hpg19pmN9p2HGhHlmOW1+CnGg/6ZFcRK/ZT76urqqiUV8jvGwhqWnccaqepn3egSQYrsul3VP2bEuA6zo8Na27SnVVOdmMdkVE0zjT4/Ho8b08y7V/UTOvv7+zOzs1VT9swwMzmU9fX15tvQMUNIxfZ732FSKRs20SFVda+rtbKVbyofBIaTyeSqqv5QVf29k6+DcAbSdd0vdF33P3dd9+td1/3Vruv+9Xc/3+q67n/suu433v29+e7nXdd1/0nXdT/puu7Xuq77B7/pvf92y6wzeT4knGLOT2ZhqqrVx3CUdbgClKSZUW0YGoYnMzocKkaW8yxbYLMBBoxjUhFRSDMb4hlQQTPrKXt5fn5eq6urLeo86zkoYtm5dE6GGbiMOgMnjHECkqrqZd6A3KTYciw9O8el67ra2NjoOSPZMMXYZJeyqqkBYQSycQmFmrWKoqCAc4I/8+MZGDpOC4WTwNXaWFlZuZdBSwMP2BwcHPQMbtZVVk3rNrLGyPN6BtcCfLwjJ1WNmYBFXl9k2rWslzwaAyDldHgPa1aNAUPI6DNEXdfV4eFhWwPoLEmNNY/GNGmN9kUaOVklDmAGTXK/5DEiahiyzpWTlpkx+57h5exYX2p/zJdAxtu304OzM6Dje7r1ZW3wL/3SL7X5A/oZIgCVHB0d9Wop7MmkfCc1yfjSJbrUqtEVfFleXm5AynxZN+vr681wOpaGI2f/rK6u1s7OTnsOc8u5yeyPgML19XWrq0XDtw4FGAQghhRGYKZqGt3NWqWlpaX64Q9/2PScdVTVbxSRbI/h9T1HStd19yLq5nF1dbUWF+8aPaUJt89yLcgg5e8FDtCl2DP6PtkV+VzWm++Y93SWrUW6xGd3d3fb/QUGMqCWtb8Z8BxK1oLlew8/CwzZh8aCsDNLS0vNQUw2gv9X3QUCMBlmOYucbpntpPSmvpC5AiDUVf7CL/zCvWsO33GWyDYJGvuOd6NbBU2HkvW99ktmLVLs9YuLi6YXTk5O6pNPPqmqKQCc9Yxd19UPf/jDqupntgSpr66uGv3W7wX1rKHUQVV3FD2sjcPDw+ZXbW5utnexPmUPrQe/+/73v98bZ3Njjed4CirR4fQCFhWdDJyw76PRqGVYU+ifL774ounqYVaLZAY313naNWuh6i6TnHpBcDvLTMhkMqmjo6NWZpFzk/O3urpaT548acywqv5+yjIQNgq9tmqqCzOLOKRVDkFTzoG/r6+v72UMv/e971VVtT4WL1++rLOzs14jxap+VnBYs5c6c3hm5lAERlDMc70MzwY+Pz9velyALcX/NVMyB7O6t87Shx8rH0sl/e+q6kdd190/NOXj5bqq/u3JZPK7q+r3V9Wf6Lrud1fVv1tVf2EymfxiVf2Fd/+vqvonq+oX3/3541X1p/4m7v23Vb4OlbRqOqG5MDMDwPFkXAElCw6AQe3KMwcZwMlkejB6fgfv+uLiogG2qik1M1tw5wLf29trTq0Iu3uIjFK0mQVKOqt7iThxPjkANkG+ZzrGDE1mXTmnot5oHQAfsCKjg24q8s34uR+Dw8AkqE6aIcqF5/B8nFYRszzQNsE04GC8GAZA33OinxoX10mnlSMABB0fHzdlBsBmJPX6+u4IE+CX8wMAeWeR0TzjD/AV6TPPABuQoYtX1oNm1NAaQtnNc7zcyxpH98wmF5x35xgyvkmZTgFM3CcBhM+LGMsIcC5ktp1zJ0sqMwf453qTebXmk8KUwR/7EiiytgFE+0uGOLPlSfW119bW1mplZaVHYbm6umrncKYh1X0QyE0K3tXVVf3oRz9qRi+bkGSGGX3KvrN3AGVNixIwp0MtsOJn+Y5HR0dtHjnUSSca0qvdz9pT38wZNqdLS0u9cyaTRaALLGdxbm6uObveTUBnmMHjGPpMHqpd1c8s2jvmj9AlOzs7vWvPAjscjMyKZPQ/6XL5/HRcXg+IRhGtqhY4o9erpt0zncPHcd/c3Gzv5LqcZllAte3oX8P5zk67stMCSUM6az531d1azvcaOlGPHz+ug4ODury87HWHJeYIsDJW9EneSwfcXMcZ4JItur29bZS7qmrMHhkkDi67RFfMyoxWfbjJ3fHxcXPs+QyAqaBS7oGh6Nr6k5/8pO1LVOKhqBE0h1XVO48ULb6qXyvm/XO8iM/J8Bgbn7u9vWtylXbA/egE9FH26+DgoAccrD86e39/v+1Bx7RUTW0s/e9d6TLX0d3XGr2+vm46PoO0+Q5JAR+KrNPu7m4LxA4lM3kJ8AUiqqoFY0hm87CnAP4hbX1jY6MFKvLaVXfAVcDZPcx/PqsGPrpwD7Ph9pgAXf6ODIMuecQJvWKNpgCAR0dHzc8djUYt2CD4kOtyd3e39/8cY7rooYxhskzUTmd5Vsri4vS4KE0iU9Im5SH2w3e8vb29R0P9OvKxwPBVVS1U1V/puu4/77ruV7uu+xV/PuYCk8nkq8lk8v+++/dxVf21qnpeVX+kqv7Mu4/9mar6p9/9+49U1X89uZP/q6o2/iaB6d82mUUNeJ8AV7N4w1XVsgwceE5LGhPKVac4zj9aXW7YpOoxQBy2BHLpcKKJKYrmDHGWKcEsBM9DaZPSKWKEHgGkcIyBRMraz2UBZIcuLu6Ox7ARKWMNJUS+OehV00yfbJ/Mp7HN+jYAwTjZeBz8BNEaE6RzIBPh/TmfAGdGzZPqag6c3wUoJihE8bDekhqca4JBUsPF4Xdd68PB4ysrK80JXltba+OdmRrX5SRat2mUu3e1V9lNkNNnzY9Go1ZrIXqaWQIZ12x2k93gPNvc3FxzMhkxc9J1d4fePnnypN1bFsM+sP4nk0m9evWqOdTr6+u1vr5eX375Zct8ej/nXAHLOq2hgGVQJmlImf1mFGS2OaHe2c9lKhhugHo0GrU5MxZpZABP3yd0hIh7njdIr5gHRvr29q7Fvoin6wLyVdMOa8NGELJ16KCTybQpgsy3seHQAYKZfbQmq6oHLBlpTsGrV6+anjEPQHL3jkpqzu3H+flpu3qRf0EbBn5+fr5evXrVG8thJoM+8D6cRWNGL1T1o8f2aDoK5jH3FgG2U5IqKhudDr8OgOnwyMabY0I3LC8vt7nCWFCXij0gGMehFhRB0bVW6VI2LNcs3ZX1hOYKRYxtODo6avtvKFrFz83N1f7+ftOvw8DQ5eVl/fjHP+6d45hOtf2qLb6fYRPkeNNTmU1OumnSlmW6qqplVd2bPnr8+HGdnZ01YPZQG/pZgDaFnbK/BSm9m/kcNrIg2ZSK/yALNxRjKNBYNW0kVjU9XL6qfyYcJ3tY41915z+gwns+2UjsCPtbUDbnxHNgRdhfAsC+592wAi4v744J0QmUrhCY4HuoAXU81CeffNJ6LXheNt07CloLFD5UJ2q92ocopbMyu7lvE/RmsErneHOU3TGzBrLqfuDoxYsXvaBP1XR9Z92xgGRmWPMeGfzW/Vm3Tkdp7OzszHyOqvtAMTPxQDZbM2t8BAmSTeI+WQNbdbf2M3CXv8sgzywxNp999lnzgdjuIbC01h5/AAAgAElEQVRPWzLU/VXTvf/69ev2flV3eyizx2zXN5WP/ea/U3fAcKeq/uWq+pWq+tX487Wk67ofVNXvrar/u6qeTSaTr9796kVVCZc8r6rP4mufv/vZ8Fp/vOu6v9x13V/+us/xOyUfiuTNkgQvnHtOJSCjTsfGygyeiI7rZCc4C2hxcbFHeUvHNbNfIpwc+UePHrX7JX0mnX3XYsSTdpmK3XVkPKumxwbIUnFkOVYUnM0FlGZdVgIuUTyKnrEZj8eNCsUQAA+eISPUMnXZxAPAxQenVNEGKPKqaqDQNba2thpVjcOztrbWIlmMXdWUtuS7gHQeNM8xe/ToUaOAMvIMpZ/5t3flSMviLS4u1ng8bk4f+pB5YqAZHgAnMwCi4RwldUeybtY15whY5ni4Bxqp8ZddQzm0Vo05pxOY9K6czydPntSXX37Z9qUMB97+0tJSi6pndPr09LTRxFwPkDk4OOg5QPaRdxZskJ3ObLnoczrfnkmgxjx5VyDUPhP1RK31Hc9pbmR+0ojI2GIL5FEnxvDw8LCurq56YF8Ap2oKPjY2NnoURMEO80qGXSidT+dsNdFtWdzNzc3mGGZW2v3Vfo5G0269WACbm5u9piqyFdnhkZPbdV3t7+83urPASVLGOHVnZ2e1vr5+LyqfuqqqepmGPBYgnYvj4+N7549l109i/AGelCGlj5Ol3juDdMahqu+YD8ekqlpwgu7iANlrxpcIVAr45b7AWtBMCR1KEIEeMsfOvAT2gct0zufn77pDz3Kq2ZnLy2nTF9Tp4dgdHx/X5eXlTBpjBqKSmTKs7amaNraaTKZdSXONYC/ImPgdqr6AHzrx0dFRdd3dMTJ09SwRpH1IrAHZWXYfGErGyqxMVJ7FKLAz63nyXS8uLurTTz9t//7lX/7lNnYJ2oiguDWZ1xLkzXXu3oeHh+1d0r/ITLYzhNno09PTNg7Ly8vNJvCrUCLRS+liNbOyqxm8dm1nEj59+rTpkPX19RYgzUwr3yLLKIZCV6C/squz5in9zSHV1P+xOaqqBUyIIFpmF1N+8IMf1FdffdVjMuR5kfyRvb29HrU+P6+GOEuTXr161d4TC+Ply5czz7us6ustwn/h72XgZjgGGbDKAO3Lly8buyEl9Us+y9XVVS+z+ZA8ffq0+ZiCa8M6wAzuyLqmCKZo5OaZdMUlGBDfVL4OpOze8+fjL9J1q1X156rq35hMJr2q0MndyvladYyTyeS/mEwmv28ymfy+r/O9v5uE80NxZHMNUUkGnSMoksVxTAUuogJ02UgUXP7xfUY7AaKNVVWNEpHZDwuVg8hREBGeTO5acXO2bGQOB0CZwFTUOKlEnBCOKuNXNaVMyEgZw7m5udYNLWtFZNS8G2dYxnJubq4dufHq1aseEMtsFmpTZm329/dbIwzUYHUdgJfDtoGUBJLolbI/qLayJwDr5eVlr9aNeKY0KvnMQEOOqawNhcYYWpPGNTOZGnWYN+/hWTM7cH193WpjOcxJJ82ur67P8Gbb9appx0DrzfqwDr07Bc4YLiwsNBAr220cR6O71vkCD9qPU9qMoH0CdGRxfdWdAs+gRNWdMQX2kvKY7590Vllq+8d8oArKMjkfjT7IekyBk8wubW9v99gISeexX77zne/0gjtAU66Dq6ur2tvba2tOwCMzm9ah9wJYzZ2AQgYzgLA8tBoFiBwcHPT2SdZlyUwuLCy0hindO2q8OVteXm56wBzTj6lX6RlNRyaTyT0q2sbGRgtkVE27g9KfKysrzSm1bldXV+8xROiNPCdR1H1WI4SHGCa7u7vNoU7nIbP15itrhH0fgEGP5rzQ15xlzi0Ao6GUTFVel31RG2NcgVJBweXl5RbgFBzNemtnvj569GhmxN4aScfXHk+5vb1tdU9sWq4va/Hm5qb9PJkYVVP6ZNd1ramLvZBHBKVNy8wL3ZpNfnzv8ePHbb08dF7hQxRTsrKy0jIwbEHadPsP4B1K1jlrGGYuUrLWVcOVqvtdSY1fPrd9PzyH0Of29vZ6uivvDXRZM1XTDIuAgPVtnFdWVurVq1e9416AvGRaCab5t+9nRntjY6PG43FjLo1Go9rd3W0ZwaSFq1mzB/geD7HLrKPRaNS6kQLnQ8nxGYL2BHuZwcvMFKBsfhKIA3QZAMzv53Wwf4zRsJY5j8+5ubnpgX7jMB6P30uXTOEDCd74/ZBJYT2yF2xpUp6zptnP8t0SJGJSPQTqZ+nZDBam5Nmm7E4KG7ixsVGPHz9u7zKkvubRVt9EPgoYTiaT0fv+fOzNuq5bqDtQ+Gcnk8l/++7HL1FE3/0NMn9RVVll/b13P/u7ToYL+iEZLqzk0Se1EkjjQFrUDGfVtJ5NOj+btMg0UPQcb87o7e1ta+Mr4pK1aJRSUhPQ3LLwWiTXJpWR4gzItFVN6ZdpnABYzy0S6F2BsqxbqJpGvIA4QBDg8v3sFOf9RAVJghWZAApdVpLCA7iAn8xiVk0zSYwiJ02XPE74zc1Nc3QBj6SnpkJDKQWyrJnr6+vWkt8cy8QMm7SolUwnmOPsWrKvgG5msNKg+nd2r2RUk47oOWW70LtkAWRuZdq8d9IRHz161KPzykKY48XFxdZASZOYq6urev36dc8QDzPE6JD2TNY1up41CTzI8MnKZbYbkM0gjPEyDsYILdf/RaRR4GTW8tk5xkA2oM3hTufYOhoajUePHrVINMpaOrbZot6azbrChYWF1vY9M9JV03pc6yn1nHexhl0T0AYiAcxh0xnrwZEUMu3WW2aM0a1Rbo3DwsJCHR4e9s6Tu7297QVpZOfTmeXYpH4/PT2tg4ODNm9VU4CR+0ttrmtZgynACFpVyjCSLFOf4v+yHkNA5Pd+RidlhrxqCuTo3GEtuGw92u2bN296FFwAXav+o6OjXt0rXU1f06ECgOaN/uf8CyJYO7PAsmdNtgPHPoXDi1bv/Yj9kg6ddZYBV39bs4Qj6TvGWWa8qlrWM1kmXXd35uLZ2VmdnJzU4eHhvfPbhs/4kOzt7TUdKvCazT3Y82EGmMgK7e3tNSDuWik6ilbdrVPNPuikqru1polOrnv+iffPOQBghwCjakpBPzs7a/rSPT1H1juz55eXl/Xs2bOm27NeP5vLXF9f1xdffNF+h9khezo/P1+7u7sNMAMW7C99Tb8nc4t/tr+//yC4z8y3bqd07kOfHY4fn6Tqbq7zuJycb+ObtcBEAP3zzz/v6T1rOK8j2Gq9ZkYt9459n/OWoG6YHSPD9c6P0SgLU2I4Rj/+8Y97zzAej2tubq7dW/BhCJYf8uMz4z9LkqqNLfVQ35Fkzs0Cd9YMdljWYs5qSPZN5WuRULuuW+y67vd2XfcPfN0bdXdP+V9V1V+bTCb/cfzqf6iqP/ru33+0qv77+Pm/2N3J76+qw6Cc/l0lw3a5KbOiXyJWJh4oAuCACI45xcLgAXAJXHJRc2Y4rX5vYYl+AVSUgQYmjH2eTcfQADKixJm5QAXRzMG1vQOFKepjTDLLl1kfTglHwr0zkygSz9GgBEUE04HPuQBOOaeesWpaN0FRZbE+0J21YEQnTu+DcpRAJqmoaHbG1rgbJyDIWCwsLLRmAt7NWlC7lgCTE5ZA2VgMnV4O3Pz8fDNeMtIyEX5u7aVhUTMkQJDOD8euaurAMbruo705A2TNexdrMGkkXdfVeDxu4wuQ6lJp3HJvqOsDttxDRgkwMS+Li4vtHMDs/Jl1vABnriGZAs/GSGoSAuQwBLKnuV7evr1rSe1dgRXXkmUBCAUqUGfI9fV1qyldW1tr1C8BInvx4OCglyXJxlHopoy4z5urzc3NXtDKmhOEMB7GLgMvjLu96G9NSqqqNRnyLEBmZsKTkj8ej+vx48e1vr5eFxd3nVD39vbaGVYAtyCNYJbvz83N1cHBQV1cXPQofMCc+3q2/JksL6pnGnci21Z1/xgLc5YiQzVLMhiYaz2beZF0uj0/oGw/5pEDWeNsT9M1Ok+urKw0qvXm5mabe89jbcqIe+as/6bf/RsrwN6aRenM+dDMxrgNnaiFhYU23wnwiH8fHR217x4dHbUOx8bJZy8uLlpgKkVgLYMe5kEmXHYL64c+dc1v6vABvdm8Rz0cW9x1XY/SnEJfZzY+a+jJENxYU2knJ5NJvXjxojduVdMGLJkhI7lmiCwtOyfIOHwmx368evWq7bP5+flGJT06OmrdsV2fDZTtG4/HtbOzU/v7+7W0tNTKCgAba8yznpyctHFW2gCYy3ib2zzeYpYAXK5J/81a8wnkUidkvecQPOd3tra26vT0tAGj4T64vr7u1cnlPVHc7fHMquacaADGl8E2GHYE1Tyx6v5xLMOMoYxwgqusiSbeO3sreF6ytLTUy3xnIsX/890d/fI+yQaND3UWPjs7a8+XNFxib6Hj+z27RYYZz68rXyfb92/WXTbvL1fVn+q67p/ruu5nXdf98x95iX+kqv6FqvqDXdf9lXd//qmq+g+r6p/ouu43quoPv/t/VdWfr6qfVdVPquq/rKp/5WOf9e80eV8RaG7I/BmgklkYFLUEi5xP9WjopRxkjunQoEh9M8iuV1Utw2HDZnZH5s29OQYWPFCh0UFSAOfm5lqkHqDjAKp/AJoyM+MdROGBzqRZUizAqkxfKmD1V4QDLXKbtUT+7VoZ0RYlRF1hVM1LZpxy/HDobeikSCaljUMrYp7NSFxTvYzvpvL0HIDM5F3NhDXFQc7sVNLBfD8zlABL1jfKPMrqMXhV1QPrxtDc5BwAkMAiR4WjK8KvgD8zd/YWxV41zcJloMOYZNYzO0kCVfPz861ZDUPu+QDTm5ubev36dcsimSfXRRO0BjJQISsNGKiZu7y87Blpc6XeBfCTEbYf7PnMYFZVi4BaN4Igt7e3zdDmHJjrzM5U3WVHAEwHwydtN51xmT8ApKpaLSVqZmYLXIPjVFWtCYn7GTN1aMYHVWtubtpWX2Yvs0vZSEJQKkGp9egcS7VE9It5ysyp9eK7MmVEEwff9WxVd86QuV1bW+vR0KqqB6ozEzW8d9V9OiHwmwKwCvDI1BHNZ4b1Re6n2YL6UbonG+AM9efc3LTl/NXVtDOn5zs/P6+tra2mKzjiuYdkQ6xzzjNgcHNz09bUaDRq9ZgPNe7wXvbj0AmsqgYOrq+vG/U3QXJSvdlJVLkh/S0BhzlMEM6hZ0vNiUCUPZRsD+sxwfNQ8qD4h4RzS+94xpOTkx44f59TiWrofYZAMteruvmqaYa5qp8NGTr4+f2cA35B1papuWIfrUNr1J5ChR6Px2386Wi0bsfLZL0YVtP8/F0NMrtD/19cXLTsFJtxenpaX375ZQuGAeDpyPt5BhGWlpYerAsDUpaWlurLL79sz/oQ9ZQMEwLJbiLsPnFMEKZCzi/fY21trZe5zi7nGTTNbGQ+KxZCVT8wNQyWLS0tNfD/oXcV7LY/+SrDc2S965s3bxpY5qdUTamhQ988dW6O39HRUVsD7xMBs+vr6wf36u7ubtPHOUZDUbOfZQap/63rbyofBQy7rvuXquo/qqr1mtYU/oWq+rSq/tmPucZkMvnfJ5NJN5lM/v7JZPJ73v3585PJZHcymfyhyWTyi5PJ5A9PJpO9d5+fTCaTPzGZTH48mUz+vslk8ndsc5kPiYX9dYRDmM68LJCMmd/5rOgLSdqlBZbR2gSHjM75+Xkz0F3XtcgsAMLh50DY9AyMa6kZqap71xJBS0podgmkuJNKi4ZRNa2R5CgDUL7DKQasGYuu61qTgwSFGhmkc5zgUu0HMJf1ZM5PMxYc8HSEKefsbslZUseW9D5AS2TW35nFYig4vjqoTiaTdsxA1pQZS05vGqak6HKwZCIZWIoQPUQDiMxaGxdO3uPHj3vBARmErC3L7lmeDbgGClECk2KcwQ8RVGOW6+3w8LDVj2gusbe316vTYJSzDoQjhk4IlFofIp7WEUCTLfWtXXsAwMjsNWoceu6jR48aTTOpuvYFHZAdbZO6Kfsny+l5rQH7I2ky6ayk/rDflpeXW4Qz6+V0VvTZs7Oz2tnZ6TmN5jgzaMMsELqrPSPKPBqNmiPCoau6M+yHh4c9R4FOki3wt/c3JyKr9EBSzQUYZKAwDnKeFhcX29pDzc6xTDBpHBJ4cXwSgBv/dAIyu5zO8ZDmRaz1FI6BtZR1alVTZzOBXAJD74UdIqPBMT86Omo6RkZ8c3Ozrq6uWoMOa5BeOjk5qYODgzY/GdkWQLGvMkNFP1lTyRTIwNJQXEOGhO4b0jGBCXqsqm+3zQV9U1UNTA3vlXrMtRIcAY3WdpZ0GO/cN/Qpx/QhuuFDB3CTpOFjX6TurapWCzqLlgqM5Pm7mAMpuQ7z3wnGM4CU9EP737vmnNqDuZ/Uuy4tLTU6+TCoXFXtKCHMJXRDvsfm5mYDdsYAYPO87Nnt7W0vyKJrbNoDR5Z4tsPDw17pA703Ho/r0aNH7XoPzW2CoydPnrSOqsOMUlUftGTW6/r6uu1dOsq45nfsx+G5tFXT2kRrlNArAqHp51mXeSC9oC9gvLW11TtGyXesfd9JGQbC6GK+sX0+DKJZMycnJ218kv1AT+Ue0Eci/0/G43Hzb2ZJMqM0InooMzwej9u7s/fDd0yxp9T75th8SB+8Tz42Y/hv1V1TmH/PDyaTyZu6q/n7Pd/47j8n8nUPuDfZaYxIZogYZRmBTCfLgjBQjDNAAHTKwOhqCHhwUG1+BlxxtXtk9J/jKWOY0SmbFr8abQfP37MCVkBmAkWOJKMCVGZ2BNjjKABdnGsKkRJOmqpsgiwAkDCsCayqlr0cjUa1tbXVcwLQMBgdGxaYNL7GEXA3dwnYRHEz2+ndU6GbW3QdgCzr5NC2srB/WP/JIVYnNR6PGzhzbeNHARsn62pnZ6cp5WxKkRRmlCbP6HNJd81MNRDH4GTkX+QXkOd0ol+jGY7H40aTVhcCtHICZDIYuu9+97stWuz9HVJsjV1cXLRunp4h6Z5Jt0vaW2a9gcqqamDEewLGmZGdn59vzTJkoX1nY2OjgVBBlPn5+ZaFtZeId1eXbNzpg8XFxXZm4NDRyBrj0WjUQGnVtDW79al2MR1olElrRVCJg/HZZ581HZft/2XxM5Mj4IJienFx0caFEyLTTrctLy/X8fFxu342obInBN9Go1GjDF9fX7ezL9P5XV5eru3t7ba2q6alBKPRqEWps5kOyeg+J7Pq/jlvVfezQ/RWin0u+MIWDH9v3aFsZz2ceVbTB/RUTYMBqReBr7W1tVpfX297fWFhoXZ2dmp1dbVl2jQKSnq4ebJ//V8wyjMZe89nnoeSzUeAvtFodG+szs/Pm7M2C2CaiwQLOoqaZ98D6tmhHGs2Uqb0/Py8XU8nTHPlvvY3uiGA9tC7PiSAb7J0rq+v2xE3ni3t+iwRIEavHzqrOX4PNcqpmgY5cv04DkQAKr/PXid4yu8K1s3KnlsbSlf4KNkAhZ7P4Ai/6eTkpDVBur29bXXOWEQACTCPbsmmOU5AVhrbSPBGkOmh2rMMkqysrPQYQENJ0JLHUNzc3LTAFCp91TQgRIDvWRl4gYxhcNFzCGrm0Sv01zDQQldvbGzUyclJL6Mqcyrom2NAhsEdeiB9op2dnXvv4QzYZIt4Ju/CtyQCCSSzcd59lv7J38tEDhM4KVmexcdKobfsW/tDcoSk7/5N5GOB4S9V1a9PJpP/YPDz3ZoeL/GtPCAfSjEPJQFNZvvSyaKURMBkEDgwMoiAGlDF6FKghKMuM8OoWcQoPQCDSGHSXUTq0uBlHRUn6ujoqB0H4D3cBxjKesmku4oEMfIAclIyq/qUqKSFMMjGWFYRdc3zJ01XRk2toWsyMnt7e73ILyBU1ed+A2tnZ2dNGckKAbwMA4c56zLyHEHA1fsyEkkDVQMDWHg+87qwsNB+LnOS2U7APTNl2dDIOHCYgUZUS7VDMtredzKZHtmQ3H3ritGsmvLszY0gQNKOM3udWXRg8fnz580IqR/klKDnKgzPjpyMlTMJM9iBgrK4eNeBNc+YfPz4caM12Vu5Rh3JIPosWwWo+F42ohD4sD81YgEYM2JrLzOoKHwOxQVmiYOvu+6uKQrHk74AfNA6yeHhYa/O1r7PaydNNX+W+wPYStq7f3/66afVdV07aDqb9MjaWf8vXrxoe/Ls7KzG43Grf3316lV13bSRgb0tWm2sMstvHXLMky2xtbVVW1tbLdhFvvjii9Y6HPBzbUGDo6OjlpE3Z0Px2ap+W3bXnBUNHgKaoZOZWUjzaexc0/pKEURZWFjoBTllBgQ67CMA/ubmpq0tWajr62nds9pNgMh6SHvD0fZ9Tc1S141Go0affkiOj497rJsE4d5dXX3qHmJ/ccirpgE9v3N/TlrulwwCnp2d9bLN5k3zDA3VjC89rLFUnneZ8iGqHVtQVS2Yx/5xSOnT910fQNfhd7h+02nOZ0oAeXh42IDCrE6WaNDpjPMJ8vmMRbI/rD3P6n3TL/JsguxVd9Rpwc4E8FXVgODW1lbT12wNPTmZTFpQTzDZ2sdKEpigXzL4NHzflNx3Aj3DAF+O06zvsWnGP2vZhllbtjjH0L9Ho7vO1UnRpKtk5JMKSs/lnnO/7K9wcnLS5t3aEKyqqnsBkeE6pafomZubm8YYSsnEC9uUPREygESurq4aoPzyyy97v6OjPkTdlOXNjtRDwSyqusuwDq9pnezt7d0LkuS/t7e3e3b468rHAsPTqtruuq7NRNd1j6vqx+9+9628Rx7a7O+TpKAxlIxWKiO/z1omCoMj7O+slQFsknZ5e3vbMgecd04Wh4oxE/3KxZid4jh/QBawsbq62uprsn7HM4g4+x7wQsl6Nw4gB9EfShvF03txLDhU+ZwJgElmRj0LEHdzc1Nv3rxpzrnr6QY5rAezmXHugcAhl9x7ZQ2OseFQcBTSaUiHFRiX9ZI1k6X02czYoRUl8K6aRv/T+K+srDTHJ0G2g6HRAIHdqmqUU9djGKumHRmzqRAHpara0QxJ9ZM59LzeLQMMxkwwwjwn2EXV6Lqu0ZgZJPVUAhs+y7ibz/39/bq+vm5OBdDPQfHMKIa3t3c1VKhNo9GoRfcWFhZarZs17N6aHNhH9hfjDZhxnhI062SaQZZ05mSbgJ+M7GpwA1SmLnv69GlzNB49elQbGxu1srLSgIzAlT2X0euMslrH/qDwTiaTdn6itZufy+sIoJj/xcXF+uqrr9pcaQ/POKeTKPNq/9MVzo+j83xeIIkzmo4HuhnKuHHyjEBMdoM0pjknGaFOJ4JDNXQIBPyGYi0uLy+3YzRI7vOqu8YRS0tL7b7WljWOXeLn1iOKVNd1TY8IMtrbCeo4tsY07ZUDr2XTicwMPTg/P9/2jWvOcpKNMUdaBn8IrBcXF+vNmzdN3+X4VPWPq0jGhWBFjpdrWK95LSBYnSw9XFVtvPb29ppu9tzb29u9LNYseSgLQegyjVYAk2En1P39/Zm0OI752tpavX37tmXlhzJ8Z5IBlKQQf/bZZ73vXl9ft/q2vD59mmsf9TCDtuikec8sbbGOUT7NHzAh88TnQj3lM/gskdlxncw8Z5DFtbEBrFm24n2Z2tzbPj8EL+QhQCCA6Rlz3SbIQqP07HkPTWeGAQGfefHiRZsLwQ/Xzntkh2eB6wyAWRs5JsM9O8yQqy+8vr5uAHN+fv5eTW5S6Dc2NlqJj+vt7u42v4gsLS015ke+U1U1dtSHMnT0AabMLEFLzndKSTbP0tJSY47wn8gwC/x15WOB4V+qu8zg//Tu/79QVf9LVa1W1f/xje/+cyKzDuJ8SEx8ppGHVMSM8KlNQvWrmkZdk4OetRuiWkm3GyoowOry8rLVN6DBuR7nuaoaWOQ4MGi4zwm8gAPK6erqqm16i1l0O+t9vCPnOKOpDI3fOzQ9I6PomJ5veXm5lx1UX5AZsPy951tYWGhKb35+vmWIMiJYNT0egAIFHoBhAGBYTyTyrqaC08SpZ8DU8fnDeaJ4/P/29ra2trZali1pKAmkrBnC0WaQ1RwCFpRn0kHRB2XvOI+K9TnN3lVtHyciHV/ZBVE2dGn3Tfqs71O+jx7dHb9g3XhGWbmqaQtx2fSkG6qpQldMWt+LFy/amCjCB/7UjFijwCQHbHV1ta1BgYCFhYX2vrmPqqZGyJx7ZkZKllnQw7o1r8Z9bW2tfc6aIhw8DAPiPDDRyYWFhUbxWlxcrNevX7fr7O/v19u3b9vZntZPVbXs6ZD5QG/c3t7W06dP2zje3t62zOl4PK7Ly8t68eJFLS8vNydmuF6MW2bUx+Nxr0mRqPT19XXt7u62YAVdKNDgmX0/a1mXlpZa9P/8/Lz29/d7dLfj4+O21rJhDv2dvxOBzvozkjTEjNgPWRB+lsEWgpYrEGLdGjf/Zp+MAwDveYA954zJqnuuZJecnJzUzs5OC3RlBgb9LJt80bXJSsj3sGbVhQp+Ja2UPppVt5NZBoGYWWOV72PcUxfmms5ujQJLKQIiwG9V9cAkRxj4y67lsv/222g0qsPDw7YH2exZ8lCNE9Gkh80UHDHG9CY7OJTUseaL3UhJQDEERin0sCZIVdWYRs+fP6+qflDEmCTTCTA03hcXFzUej9scAvQayAhUGQugz/PwN7yr+1nHmCH2FL2Zz6jbuHtkPaB/K/cQyDMHD82hNYYtQcfNAoGpG3KshoDGusvyAe9A9/o9OT4+vsd4qJpmA7Ev0rYayyxD4BtNJpOWZby5uWlrIuttZ9mN4btVTUtOFhcX29Evsyix9K1mYNvb201HVU3PvBwCK+t8fX29p5Pptg9RuQU4salmSR5NxF9ISf+YD101Bdckm/B8E/lYYPgnq+qqqv5A3dUaflJV//C7n/373/juPycyrCV5n2Qa3oZiMIExTg6H2EJjkDhPFH/WqslAiOSmcWV45ubm2gHlNldGATn+c3NzbbOjg3Gwq6rndNCmr5MAACAASURBVHmHbOHMweUccMyrphRLdCE/41y4f1W/U1xG5UQEOXUJJDILJANB8QNT7pudB43x7e1ta4hxfX3dDE86kQxs0lkATRnZVEgMRo5BUnuSRpNNXRigBMxA2rNnz5ohR/3d2trqRfM4fZ4V2MsMnPsDvzIsqFSeS52muUr68/X1dTP82dRIVjvnJ3n+omMJtFFU3c96VreUGbSqKe1NNtoe4eh5b+/2+PHjOjo6qtPT03Z9469OjcPKaUBdUWcn6gz8cSgEc9wPJfT29rbtj9PT05ZZthYAVEZbsxwOytu3b2s8HjejkfuJUyxTOdRPzs1Mh3lvb69XK3JxcdFAAQAwbAzw7Nmz5szROf5gIggUecabm5tGdTXG6gzRjJ49e9b0Bb04Pz/fQI1Oepx+gYqso7G35ubmel0tMxPs2o4ksT846cbOWX1AOHn+/HlPb+ff7mVsAEcORdKGMDrsdcKpyZ/R50NnQxdh6wsV3T4V5HMfxyX4v72rLkrWxHOrWct7LCwstJb1gDCHeGlpqV6+fNkrDcgAob1NJwNxyg6SQWLPyfwPHSMCtNtrxn3oLNp3GBhV/WZAHLCMzFsbxtTnURAB5aqpUywQKuBgrXtW+8jcHR8f187OTsui6gEwS2a9f4p3FkRNvZoZYXViQ+G0v3nzpgX4nj59es8B9XwZfBgKH6Cq36DGmFibuSf4Hfn+5sXY8TWGYJU+9X7YPqnDqqrZjgQt5kgAjS4QKEmWkPUDkHg+Os41+UK+A1AmeEoxRkpRsoPzUIbBkPw3XY6FUtXvgFxVzeYbw8zUbW5utqDYrIDV5eVlO690aIPy2Aidb63DLGGqmnZE/sEPftCr0U4ZlmiZM3rDOA2ZFPako02cTZpN3IbrP1lMQ3YCnfKhwIzApLNXZ0kyzDIgTTLrnSUk+/v7vXlS4vJN5WMPuP9/quoPVtVfrKrzd3/+YlX9oXe/+1beIx+L3DMyktGYzJ4l+EtnJXnxNpzFxyH2fREajq3NyVnzRyYJpVQWsWraHl27XMo0nSCGOMEPA4+qwMAAkJpAADzqUTh819fXrV4EmOCkE2Dh7du3LbpVVS0jISoI/IpiJ9DxDt5N9tRziRx6hqRlABNV1ZyiqrvIKMfH+GdDDcp0a2urZSZ8DpDJSNvFxUXLglHk5p1C3t3dbQ4ByoOoH2NVNTWcQDaDyPgYNxFSgGgymTRF69+ZYbQuBDRcc319vRc59yfXdXb2SwWZQYhhAwogJOsHOBt5vaxvMp+cU0aAc5ZBCOCYYrZvVldXG11RvZNMpxoOe1XEV+OKi4uLXmH6aDRqazbBMBBiHXBARe4Bv5OTk6YDjBG9IHCQ0dDz8/NaW1vr3bdqSr80H/Pz8y3LpfFInjuVDbHsH07H9vZ2mzOOh/VtDdM7MhfmjoPsWgIKMq5Vd0Ze1zuOL0NcNQVaQH3qu+zuaqwEl+hbTjN9tr293Y5wSN1jjNPZ0nSHruA0JsD1jDkn9EbW8mQmgyQDIQXomkzuzgfLxjJ7e3vt8/6mV4YOl0wKOuiQNWJfcMYODw/r9evX7QzZpaWl2t/fb45aNryi2zk8GfDhLALs9qYOtvRoBmaGYn0IxFmjw7PN0GzVkVX1MyWc093d3QY2dSxOepd7AYw+62/jJ4MvYFdVTScBF3mEhGYv1tcseQgwkrm5ubbPjatmOgKpk8mkZbOGkhlDa4ZNTTGXQzpbOttzc3NtnIcNNubn5xudPb+THa0JZ/zs7Kz29/cbJdgzmDc23DWSXm/clBywEeaQj4TWjr0iOGp+BCmSsXF9fVejzYm3XgUx8xpVDzcqVEupl8TBwUGvuVdKru0MbiQbYEjbTCCdweuhaPDDXubPq6rpN4HhqiloHIIpwMd6mp+fbxkzOiaDzsN3ndWEyT5nHzA/UgQ4jo6Omh+Xto++yedlo6uqZSNJNm96n7x69arZ4YeEPa+qVvox6535JPberPt/kxI28tHnGE4mk/9zMpn8wclksvruzz8+mUy+pZF+hHwokkdyI6ah4whR5igEDDOgyImyqTnmHOOMuAFmHKisq8gav4wcZbtlDjPFi3LhWu6P1gq0ZAZR1i5BYdITk4aaWahs2pFc9KQEcgC8Expj0nAZ4BxH757UW9FyCj/BE8fGu+isyHHJCBBefTYkyGwoMORzmfE9PDxstEHOU9IsjEVmh3VKU/zO4RbtlHEGeCk7dErjmo5Pzi0AlZ1sGYzr6+tmLIAy36mqXh2eYABwkbQt69Z6BZJz3DiZaK/ma2dnp80LcMM51Ek2Fa9mM0nJ5sTawxmsSNpitsLPTojGGlBEx51MJm2MzXseX+B9OT66glZNm/TodFdVPUOdWa4E6ObTNYhsK7BJAHLPkhlg6z8dXoeXAzRZ25nvm7UWItfArDX99u3btkat07m5uR7tZ8gU4HjRIRkVz+BTHrli7WfH31yXsmj2ENDiu0n5rLqjAqnLJMMor8xozn/OTdW0jqiq7+jZU0PQAjyn0CWHh4ctWAEope70/Pawz7g/Jw69XeDMOMse3N7e1ubmZj1//rx1e6Xr6RHUSQwN90g7ZS2yCdgMgkgYGva0Zxk6gDmmmhdZO8OjPZaW7h+BknvEfJ6envbsCuaIa/h5ZlGrpj7A9fV1A1M3NzctQFZ1B9YFbqqm58tZx4DJQ8DwfR1Aq6o1Z8oAJ+ADqAhczXJyrT3Pv7a2NjOrgVWgZpTk2OZaTx2cgb3hdwQa8tmSycRxf/LkSQOWrm3/W3fk8ePHLWNU1e/+mYE69MLvfve7TXewa/Ru0h8949u3b1t9qHnjL6hLE5hmA2eJ9So4wJ7Ook9nYCfHOanNagGrpo3rCEDvefN3Nzd35zo6k5nYAy9fvuzRq5OqO6uLqOCO+wwZEX/9r//1NibDLNtwjWIIqU93LMSwxtD3BMnX19dbWZF3tH/Jd7/73VbPd3R0NDPg8aHAjOZWszLa5PZ22hE9GWLEsVGLi3dNG5POn5/d3Nz8oD54n3ydA+53uq771a7r/pt3f36l67on3/jOP0fydboDZdSR8+P/VdNjIar6nTezbsv/M5pqMQ6BFqcoHYXMtACcnLAEdGtra81YiJYBW0nNBPI4mSLwDJImBOg8QF5e0/0pd1FPih8d0nc5lRyT5Ndr3pFRfc+UtUqUS0ahMqNAwd/c3DRKrMYG7mtsPCPaDjqTaxwfH/falWt80XVdixJmhmEyueuAlplJa8L4ULzGeWFh2mqeY66OzLoQNEC7oZzQaTgCSV2zJhm6m5ubdrCx92GsjDMHlEIeGmGOaGYWHKlCcj1kZoBzyTF1z6Rsvn37th2ZYr0uLS21WlrGPbPpaDLWbFLaZG3sDY0KBDHS+HFMzVkavqQ5qmWYn59vWZuM8F9fX7duqbqkJn2Rs11VbR8Cz7OMqgY0JKmGQ5odqorr5Fl4MmQcEcA3nXig376376xD41hVrSZzbm6uXrx40QIR9mXqLPtfMCqb48h4jcfjlhWRQVxaujsHjYN8cnLSdIozycbjcXPQ8kyzYZZVhpwYU4Ev2V/jYR0MSw7oq3TMGPt0/gSAhiLrlnoio+VD/TR0TF1Tt0wUv3RG0NMfP37c6M1DWpWmW0AIPZkA3v2sMfODJi/wKMDHZiVwmOWYeTeN0azHocN1e3tbz58/79WMpfPm3xx978XRq5o6vgDrxcXFvc6bxpBNktWoussKZWDUnsqmVbkHhzIEu0PR9C31FV9gYWGh0caH4IskVfbo6Kg54MOAhOc4PT3tZXWG2TBzMNQ5Oe7pnAsMDOu7fM9cCAxWTedN7SR9aGwzU6TJUuopuuT6+q6hCZ2+ubnZ5irLFGSzT05OGqtCQPPi4qJ3vEkGYrNL+ywBFrJBkw6pQ8l9kOOXjC9zbgxyDjSpcc/hPjg9PW2ZZ5LZZL6NAMKsHhtfffVV82/ZM8H5qul++d73vjeTUTFLBGH5C3yZh+jMdIwzJO1rfm6OSYI0doYcHBzUaDT6qHMDBfezEdvw93S0YGmKvSWI++mnn1ZVNT+RfPbZZw+Cz4+Rjz3g/h+tqp9W1a9U1T/z7s+vVtVP3/3uW3mPvC91/L7fM3ypvIaTzXm1cDMakXSy/H7WZiRF0IZgtDlvQAFjks+Whi9BqM+gOyjIZjQpBJRPTgY6HAff83CEOY7ehTJBkxw6U+5jo3sXDgoA4pmG53Kh4BpjEdwEalVTx5NDmofsDulfwMHp6WkdHx83x4dSAzIZOB0/jaXGC7KTAK6MBu58ZsuyKQuH3BgyaiiFAOLh4WELIFhfrosCUtU/WBZ11N9V07O/ZI2yq6hsrvdVewGoGC/gitOY9YQy5u7nul9++WVz8Kum9Q9Pnjyp4+PjptAZIfdIEKOWzJgA9wDr4eFhL5LJ8cv6k+wcag1mVzgZYgELdDLrWSaNc5zPoysiIzwajdrP09BaK/ZEOgwc9vPz815dwmg0ak2VMAsyWyL7Y2yPj4+bDvFewDmqctX0EHjrZDQaNWPIseNsqj2U/ZRpkb23BgUCUE5dczQatbbfQLbsnzFwrMuXX35ZXdc1apD7yEbaH9aA9ZNRe+Oc9OdPPvmkrcvLy8t7FDD/TicvnY8Ea5zrIc0JQyDl8vKyZRNRBI3XxsZGu6/r7+7u9soYrNt0zOy3qjsnRQAFMJ9MJi2TBOzTb1XTg5gzewKoAT3s08HBQZtvZ8h5p9QFbNismhoggh213mbZ0d/6rd+amXWsmp1pV4/pHtmsI8sWqqaObtYo+hknEZWUTlfrjtKewdxZ8lC2iejQrI7eWKQeQd+d5eQCvo7b8ZnhujNGKysrvQ7HmcHIOciMzv7+/oNgn0+Q9ln3yappcDqzmFnHKKBp3mQ9kxqcwZLMjmPA0IGCuPaWbDqmg6Nftre3G1gShD0/P2/lMIJIGxsb1XXdg2dUZkdM2UJnPg4lAVSCopWVlVb6Mx6P2+fo6JybrKPLe6Q/lt+hu/giyUxgM/K5NBzyfDJcmpulTrW+HgLN5PT0tA4ODloNKRD2UK1dloKwsVVT+5TrOrskD+tcPfOHzivH+klW0lDU+1f1j/ogdLLMcQYd06avrq5+sBnO++RjM4b/WVXRFL/x7k/VXVfS//Qb3/3nRB6ifpA0UjZjKk4Ohch2ZrSG3R9ttEePpodV25yi/hQsRcoYpCIAICmFjKKICuPH57N7zrm5uaYMgcGk/nDQkhI7pHvkRpW9kymU7k9aamZX0caAQJEjgDDBs7Q8ZzVrspIWQYkDITI6Q+pqjrl3Na6Z5aVcOUXmwjxTWJxNGTjAJwEbJ5aDDAB7bs+TCi3BFpCVDrPoulo8309QL7rNWOVngEPGbHFxsTWyMNeAkuwMwCQbZS7N/dLSUu3t7bX17EgHRt86W1hYaBSerFvyHJlBsp88q0zq9fV1yy5VVaMqijJ2XVdbW1s9Gop1BSTbM9a17HhmSEVvOYKAPJCZNEkGm7N9dnbWnBzfsd4EL+x397PfyfHxcYs2ZtZBLZx9lIaGTkqn1roeZouqpnRiv6dblpeXW0AE+JUtGY3u6m0vLi5aBJ6hpPMy6/bkyZPW5CSvv7293XPSfebg4KDRpo+OjhqgyUyrbBkKnz02Go1avWUCOns3M57a8bvG1dVVL8uS2X4iUDL8ufcfRpzVG6esrq7Wzs5OL+vhmm/evLnXfXRhYaFlzKumYCidtGxOY0/pCo1OSidksC+ZHhwjuiYDibLxVXfHfHBE7RdANLMVfj4LMFnPaGbswJBetrOz00C/9/2QI0ov/PjHP+6Nl7XmHaum9EqU2KTpmROATFYZ4KBv1Mc9lDmZlT1KwRgSQMz3EOAQGJgFMo0L/UF3D8cdgPzZz37WAxVD+nMGSolg2qzv0EPpTwGGMsuc5WGWaGVlpdlumU423tyMx+OmH+lYQWpHDGF7CNQqN1hZWWnfQw+lx9lxa39jY6MFcul4tpBOGYr1ur293bKSuY5SUrfkPjE+VdOyCWOTNE+6Phtl5XPoUZBAKMs/rF37mC5N/fTq1atecx4B8uE7nJ2dNQrnkHk3XKNYMTk3BwcHD2bYNTHU5Tj3BJuQ4+j3gtmEvfhQyRiblnWTQ0kW2zCTWzXVORIEglECcDk2f8szhlX199Rdw5nfN5lMfnkymfxyVf1D7372y9/47j8n8lAqu2p2fQmnN2szqqopq6RIoh+ILPp8LmLX44CL7sq6JOVLKjuNrwyVzIx/Z3EsgJT1TGtraz3Q49ltIJuD0wI0ifR0XdfqcbIZC5CQWaykFgHA3tnPsoOlMcosSDp+nM5UrKhMjLtGK2ho6ik5M8MoDvpZVfUirrIbngUFLI1MUjSqqs15AiafQbVLJyCjrerhMhsMzHL4s+ZMZDUbnhg/yh9tDwjN2gEAxVEamb2lJDPL6jMAWwYkqqo5r8aHcvdMghJqeDRxqLpzapwTltHCpJl6lwTLMmLb29v14sWLHrW467pmWAU1dPm0xgRwOAucZ44uZ9VcMSKASp51Z9+jkmZAIsExPcFw2ZfWGkF/HlIAdSxEMUPjs3fX19fbc/m5DDvdkx0xUXczC5/0sAxmWIcvXrxojr89DWS8ffu20ZREsTX8UevIWFrTgkwyW+iPVf3zBAG4qilANof7+/vNWa/qN4cBSDPjTRdbT+vr6/fYBlV9G5CZ5nSo2JJ0mDk4Q7B4eXlZr169avvSuX9V0yYWKYeHh3V8fNz0M2dUFiPrP4m9J4hm3wty2MNAqcylDIv3xgrIBlGCPgCBdZ/HwxhvFO+hDGuwOF7DjNj5+XlrrDHLOc/M0zCDkZn4qmq0QEG8qupl15xjKXhpjWbTDDbXHD169KhevnzZA1RD+RAw3NzcrPPz89rY2Kj19fXWmTpZBfTSLBYTB31jY6PZ8ll1bknvHnb8zH+rl0rw6Aw9ktmeg4ODWl9f77X0Nwfo9sPmNMYPXR34YmNyT2jIxKdgm+goWUCBp67r2pzJ+tGzr169qrm5uQZCc33LCgMyxvI73/nOg1keuubly5ct4IrNMJSkbuZY0j9V/bWSNZFVU7qqtTusp1tZWalnz571vuM5+FgZnLN38vMbGxt1eXnZsuTr6+u9uXb269OnT9tzDNfZEBTzxaqq2d3r6+sHKZ6CjZkkIOwbyUDfMLC6t7dXc3NzH6SSZjLH+w0ly2WyiSERwMUmMiY60Oe7fUgfvE8+Fhj+tar6zclk8v/5wWQy+StV9ZtV9Ve/8d1/TuR9VFIOwqysoYlFCRPx4zBmRkDEiUPlO4xxcuEpS440hxJo5ERZoDrbuUbV9HypdDBlzUSBz87OWlSJEs2OZ+ncc5gBGveyEShcijSpQTJ+uVkZLcBQhC5plzJZWceYWUqgwPMcHx/3mtDI5IjOyO4kZSy7tuW7XV1dNWWPUmeuRIf9X8YCANGVTH1U1dTxFW22LoBb18jnT5CcTlq+D4c9KQuMoqyz2o2kk+7t7TWaTdY1uq5xWFhYaF3erMnM6nIM3c+8A6marsgMA5GasxwcHLSIuM5ieVi8faPpAgAiuyaaLJK/u7tbOzs77dmyoUXVtD6DUUEfZZStP0b95uam1Yx4n6Q3o/8CKhxjlKSTk5O2djk65j9rk3Kf3t7e9qKh9qtrpjiX0RrjdLh+OseXl5f1/e9/vxcs4MAcHBw0imUetE7PKOjPzO9oNKrNzc1m5DNYkrVaVdNMzJAeD9zIsKrFMHaCBo8ePaonT540XeHdHAxPlx4cHLQzQQWJUubn7zoqpu7KczNRm9NhTsec+PdDzUbUcea+4rgTWeIMvHEMkxnAqdvb2+uVAtjzsudV/UyleUKzy6MUBC4AQWDs/Py818pexh4QyrpCzy34IlC6vLzc6GIZOBkC3ZSTk5OmV6uqHakxHMPJZNK622YEPhtT5DXV5qVsbm72glRV/YOpkzkyrL/KoI7xpKfm5+fvdYNMeYhimr/PrDF7jQ6fDJtZ9ZrWaTYVGjIJXLeq7+RW9QEGG1HVD5z/4Ac/6N07ry04mQAiawWzqVX6GL7r31kvtrm52e5xcXHR6s3Yi/n5+WYXZBCTmZVsIuvg5uam1YsKYNFtavME363x+fn51rhllnD66X/POEvetw48b4JEtoc4+gN4Gfqvl5eX9ebNm5l+rbUhwCNoNRS2RoBuNBr19pE9mDTXDAhU3a8ppjME54HUh84Rt9fMpcCgAGZK2vjDw8PeWhaQ+FAvEbb5fZ+jH6vuA+GqKeiXJMk5TBry8vLyB4/PeJ98LDD8V6vqe13X/bGu61be/fljVfW8qv61b3z3b6VJ0qJsOAahanr4cC7QdIQ491kHVjV1Sjg8nGyOVGZwktoB3HDUk64JVKWCRGWyKTmFwJxMFSodACZLyYF0PxH/BDqyjyKanhNFgvPGYcxaMABS1gGoMl5Ju+SQe//j4+OWXTUHS0tLvQ6BovLu5RqzwDMnCkBJp0OHsqpq7fCzvhPQkinL5/Z3Opgif1n7pXbUfFlLnC+tvNWXiaImxdaaAMp8FwXEOF1fX/e6clp77msduX/WLhhPY8qxN9+cAe/OEVbbenx83N5/b2+vlpeXGy3Wc6rtzEzu8vJyi9xTzq7NcfUeWd/kdyieVdPz8MyrLAcQZ8/ZW/YPIMihkG2dm5trzwfQiVp7Ds50jjFKFKciqXT2/nCtXl5e1uHhYQNOKLhV1eoaU2csLS31aExorlkUrzZPIMda5ey5vuvYg+hO9JfxYkStacASIOLQAZjZjGU0GrXMGWdHFjmPy7AHl5eXazwe18HBQa2trTUnMQ3wZDLpUSq9g/HAOkjnYBYFF3gWnCL2RoLF4bEJ+Vk6iw6lr3d2durzzz/vXRPoy7oqz23N7u3ttZrJqmm9qqx4Bles+yxhsJYeP37caLcZLDSGnok+kKmx11Hc6RU1jUMxtrJkAijDrGBmvoddRvPfQxrZZDK51/0PCKVbqqYgE53ReCbQUft6fX3dMjIChlX1XlBY1T/zb5ZojnJyclLHx8fVdV07/3PYKXcWyDZG9P4stlPVNIv34sWLe+cQkkePHs2kYjvnluSaZicSSCbg1lyHbqrq1+bZf86R47Nkja99t7S01I7pMi5ra2v16NGjWl9fb/uNzgYO6OikRFdVAwRZx5iBWev91atXM+cOULI+raNZRxJkkiHH/PLyss2v83Z9PsdcrZ7vJtAUXH3y5Mk9CrDnGwaRraW8jkAgEDmkfKIIJ7NgmD0bNlti62WNBYiHtPF8Tz7wzc1Nq4dVcpR7IG3jMDMoE/whYLixsdH290P1iGmbX758ee+dM+CRAbtZdO6/JcdVdF13409V/W91V2P4p6vq6N2fP11V46r6X7/x3X9OZJYiG0pSH21siyIjvblQfD5BWlL4MlrlOkmjFO1FAeL0S5u7NoWXClQ0zQZWl8VZ5TDJonFkpd0ZPc6azZXOPSdPhs3zi3aNx+PmiKeSRRvJzSJ6y+GW4cgodFJ2bU5jn5FeWSBUWTVtCVLSMGS3Ok6RVD/lBWicn5/X8+fPq2pqyIEuc4ViZZxlgRMEc67y6ISqanx610zAn0bSfGZzG3UW5gEoF5lzfe84BOXGFsAyNoIDGfwwd2oSrWtOp0YtHD3vKgrIKT08PGygTd3q/Pz0PCfA1z61Ll3XWMocWsfuvb6+3vj9ajvNt3+bK+BWNhMNVOZK3QeDbz2m8rdu7W0BF/NkLpxBCITkOYlotuTNmzdtXQwppktLS/Xq1asW+aWHks7us8AQA5/nlKEO0RuApDmVKfWuWApV02zAeDxudNykNBsbzwYw2ovpDKLM6tAn0MU5sk5k1Obm5ur169e9cTNGq6ur9fTp017DEkDz4uKiAYZ8LpnidDqslzTk1mpV3xExJkMwkrUphFOU3Zp9//j4uF2XQ/PixYuqmkbik0pGL6+urrZMj0x3Hh4u4JS6z1iiUGepQ2ZNrI90eNxXPTc9a99VTYMSs2p8zNXr169bBnNxcfFeNP758+cNBHCYMyNhv4xGo9bAg/0Y1iRixmRGPeutZKzsHZH+i4uLlt3f29tre8xzW7cP1TI91OmQoEFrgiIjvry83ALFMrCzgOHwyA57JYGI31dVY2eQdJxPT08blTR/ThcM71k1zZIkZY44lqWqT0fNoGHag8lk0s7U9LyOXeFvAHMCEgcHB/X06dM6ODhoQQ7+A8oke3dyclJv376t8Xjc+iwIDLItfCH6kB82S/IIA02+7IehJNDOoNLCwkL9rt/1u3r/r6pegDjH3TzkehO8wC4g9oo5kC0ElKv6vmv6oUBXZvYwIp49e9YA2xCQDcdKMN9zsYUP+dxs/+7ubpu3qjvdKChfVe339uvQThqXDx0PwXfY3Nx8sJY032sWoOVvT96V3mRZVn4+WWDfRN6XMew+4k/F39/KA/LQWT5DkWEjIrAceJEMxg2FEk1IJidBXCq5dIwpI85YUvd8nvNP+YuWcv5vbm6aw0yxZKMYjlTWEsraiba5Xz6ziLv7uUbSYs/Pz1tUFhXQ+GpykkrTNdKx0+CEgueAyrCZE3ShhYWFXiYDYDam3iWdHe9Z1T8nj/NgLE5PT1uN6O7ubjMYHOnFxcWmaNXT+ExVtc/pigZEAK2yWzc3NzUej3sgNtdPAsj19fU2VuhfIsuy1Tc3N3V6etoi22pJPQ8DlhRW9YLWG6fVWgeUOV2UvWuqFZFxAvRR+zhkJycntb293QIoVdUy1pQ9R0g2G3jiwArUyPR4DuvVod2cgqQaGRM1CUnrff36da9m1NhkQbz9l3RGTorxlMmyp/OMJcbMWHoXHTdTzwjkpLE37uvr6/X48eN2SLrv7O7u9qgtvpP0Urpif3+/Geocm6dPn9b19XW9fv26rQdZOn/Pzc31mttwjACGqukB9ta7YEIaR7U9nDQUpoz+e26ZLwZfpLdqGhjLDDnx/FmjXBxdGAAAIABJREFUqIEOlsFkMpkZMU59BdDZezlX9Bl58eJFr4kLubq6qtevX7c5sU6q7ppY0Nm+Z51kQLKqesEplN6qamBMfXrVHcgB4F3f2FlH6If2O/o1sM+ZS9CvoYjszVDnZiOGFA6m5iNYCcMsFzo7vT6cj9Thvivg5HdZ7zbMgtonCYqxKTKoptvl6upq28vPnj1rTBE6cJZkresssd+SQo/OS884pmDWPTIwbE0lO4lgAQg0DMewqlrAqarv8PMnSK7pnZ2d1h14KKPRqNVMsqN5z5OTk172CcC5vLxslEn6nt26vr6r4UbXV5og2CEYhxGT8ygLqNZ8f3+/bm5uGl09awTNB6A6S1IHrK+vN901i/KbOm+YxbJGUzcKWhJnhM6isPPHRqPRzP2WQDePtRk+l+uzcQLvRNAAIK+6f8D9ECgmRbdqOscPCZ22ubnZ/Bljwx+smvrvSfnPcU/W0PtERvN9mTyB36pp7WKK9zk6OqqNjY02BhnU9/+HapE/Rt7X3/hPfuOrfis9yXqeWSKCNIzaJC10GLURIc8MoygkZep3QBoqnai7e6cBtuk51ww50Mk4A1mZ1RARQ/3J+i/fSdqk7IJaNhtVdLiqX9jPYXCPVGwUzLARjyxONhfJRhSeBSjMZ0yqjKY0VdNMHuOQyjBpbN495zWfLZtaOKx8Mpm0RjZXV1e1vr7enFDjQekaD/OZ1OBseCJKyoHa29trTrTW4xnt1J1Ots7Yy3LK2MzPz7fajQSVPgM0AXfAIMcJCOQsM5KcU9kw8yM4ABQkiMpCfOttbW2tOe4Azfz8XQ2YcaqaHtlhfQOJCwsLrTbOuVWy3ahtQAiwlYY9ncCsGc0srT3nWdCURbIBHnOsS2HVtCmU9U9HyDxrWrS4uNhqUu3jNPoi2u5PrGOUMxlI3xkeeQAop/N1enpaOzs7tbq62gOkjLh6yaSmCXrRP2g+3sH306E5OTlpmaaFhYXa2dnpOW/p+KoH2t/f72VZ7NeNjY3eGZpzc3dNkmR2sklUVTXdalxSV1ZVffHFF/WLv/iLDXwPz4vkrOXayWhwBhY5Bmn0ZWOHWTANk0SX8xyzn/70p70gUNVU19KTfi7LBLRkpsuz+a7GUHS0QBT9fHJyUk+fPm2Z2vn5uyNf2I4nT570QDNb9Pjx42aL7JFkUVxeXr63XTz7al8MHeq1tbV2TJDzzFJvc/oFuszByclJy2hYv4JWdJX5NH/GyBz73tHRUa2srDT2wA9/+MPWpKvrunry5Ek7/mCWvC8LUTWl7Z+cnLTOlvR4Zum0+h9Kjpn5nJWVsDZXVlYe7JA5mUzakQW5FzY3N1sX36opyNzd3W0silnOvrWQoC6f+fLyroMyna0D7fr6eqvN1XyoagpisFlGo7tjbwBrVGjgen5+vj799NP6jd/4jUZFp5PYHEBR0HV9fb0ODg5aoDPPFh0KELawsFAvX75sx2rNAm/e+dWrVz3wZk96rwyODOcxeyMMj23Y3NxsfuRQ2LfV1dVaXV2tFy9etGvnvAFJ/LDMvHu+qukROlX3m80MqdNXV1c9hkLaq1nCjlf1j3sQ+DAXJycnjZ1mbHK85ufnazwef/C4CvPyELW1agq8XXcYwDIXALBrjcfj3trJTO03kQczhpPJ5E9+7J9vfPefExkCvqHkhDICVVOjmAsFXWdYY1ZV98DRLIrcMIsga8iByHuIflMinDQOeiqazJb4DIXKyGTXTk6nbJV3Vy+SUTUZEs5gZkozypzNFEQDM0tBUVBosqkcR+/JuHgXESJUuqRAiLjqaJa1I4BUKlA0NRkQ72AeAQ01Myg7CwsLrVmArEhSK7Me1HpDuWWgZY1WV1cbFStrODnVOqeZO+80Pz/fiwIKAKSj7Fk54sbP+gGsrHn1XwkKjDsFn/VnsuqAZDYeAhIzWHJ9fdcwJLt8oiybp6rpEQbeDbh8/vx5ra2tNaNj3/k+Y6CLaa7jvJ7sk7HMLL49aG/4PHCkTT2HhEPteAVrBKixf1HzJpNJjcfjtq6HUf7l5eU6ODjo0R89N9BzenpaKysrzTgyStY2kJoNkTicAibah3PqZZKTTpR1H/RZ1dSxM8bGKveN9WrvAe/GoGrqnCwvL9f6+nqj9lnPeW17wppTo6bGVMBmyAgBhob0fzWXx8fHvXHmnGTNTHaATYcDCDk/P291R2SYHXj69Gmru3r+/Hk75sX8ZYar6u68RQAq9+jl5WVzBBMQHx8f19nZWQ8oyWBnsDKp0Goek3YMqC8vL7d3yAAfmnmuS3R184U6PpSsbwLUlpaW7jlnGbAg6ZR5rtvb2/rBD35QVdOMuM/JPCltyKxbdhfFdhFoMr/en86TxdAQRTfphyijszJpKU+ePGmMEsyb29tpCUcegzArY5jgmN2YBRCMh2MdyDBjBBimLso60vydwHPWNafIoHkW+9y4y/qjv9Klt7e3DRguLi7Wzs5O+45noV9l0nL9yjYtLi7Wb/7mbzamCrohkGitC+KkHX379m0tLy/XJ598MjMDmO8hU1RVPd8whT4ZzmOueb7XrDEXiMlxIPTP+zKbdOnp6WkrmXBPcnR01NhVAm+p52TVtre3W1ZsmGkbNpURrFTG8756XM8gmJKZf4FTQBWAFzDa2dm51zfiQz5+Pr81OEtQnqvu9MmQnmoOMbXI4eFhL4OadvibyMc2n6mu60Zd1/1S13X/WNd1fyD/fOO7/5zIQ9QPkhPI6a3qZ8LSUGekl9OS9YQUvmg/R9UClkmS9UOVAx49s6wSQJV1UlX9YnhdG9MpcpyDZwJaOd6yMiKPCYRF3dX1ZYRSpInjy9EUXc3PG7Phpk+amve6ublpB5NnhoqC972MsHMcdcoznqKu6jnMpwOeGQjZRlGzqmrOswg7OiKQZg2gHyaY8ofRG1I2gJGq6blWnlnmEBAhQKm5AhLRHsxLRtmMK8cf7S6zc8bE3yid3psR5sSiGGdX3f+fvbeLjTTN7vv+VawqsklWkSx+NsmenumZ6ZnZndXuWrsKBEGKDQFyBASKopvIyCY3jn2TLwROLhIEtnORG8NBbgIkSBAjCAIoyGWQyAlsC5CFIJqstLvamdmZ7pn+5jdZVawqkkUWWXxzUfM79X9fvmT3tm3Eyu4BGt1NVr0fz3Oe85z/Of9zHtYFDoNvyL1eL8CBZ5jK5XLMIRtip9MJZ4J7np6eqtls6vDwMMAYwQQaB0nDyDgt6IvFYlDjyO4SZAGoIwAL1ifghjVIhgtA52PBmNHFjPoksq+MnTMDBoOB6vV66hgHxsBZAC5EvgkkZCPq2DacYmdH8Mx8vlgsanl5OXSX7Bk2Bufe67CoLZTSTAl0KLtB4/iXSsPifI4XgKbldHScW2cGXFwMG/Vgt8i0Ezzj52R9HEhIQydicXExlQVGX8ma0rgmK77mvPmBA4GnT59KGkaIcVSyB1S74ABeXFxofX09fk5Ayefy8ePHQRslIyENAUW2CZU0qqWbmpqKhkg8O2u/UChENpBxOzw8jOAEdpVs7czMTDg4dKHkXtgoD8hIChudBxicDlar1cLJzTpyMFUISPi4SErZC1872ERpBOyp5yVQ49ciYMR6JJjC97HnXjLAfnF5eRkMkzzJ62Lo0u12o7kKc8e6xuay9+a13vcALrpPZih7H0mpUoTseLJfSumMFFm87Heoo/ZAYVYY24mJiVgz3J95xVcgo1StVvXee+9JGu1FZBQJRKKfBBSwwTjfBDwYC46iYn1i2xYWFtTr9VStVmMvJ9u0tram8/PzqF/NCvvl1NRUNL+5zvlnfKanp680UEGcCloqlVJzyL7D+ZwODL3zsN+b2rfV1dUr3UCxM4BKSVGbzTh6nwKeHWE9Mp5INnPONQBuExMT13YklYYdcOv1eqy5e/fuxfs7NXhvby/qtKXREXAIR9DkUWtd0AvsXp5MTU2F7mKLXfhdsVjU7OxszG/2/vjvrys3I5avpFAo/AuSfk/S3ZxfJ696nZ9VyYvq5P0ex4y/cWQ88u1RLI9eewoapcXh53pkU4jA4mThkDtNjqgLZ5gBYiYnJ1PRrmy202vGnHbkYINaMM6vIRN269atqEsk24fDz/t5fRW1dFAWAa9eB8M4OK2ARQONkiYrTjshi0DdFRHbhYWF1IY2OTkZ5+LhSAK8iILhMDCOnsHEeXanBkeOueLZKfrn4G7opF6rB3WYWhwaYUArhBLqdaVef8iG5RksnHin6hBFzWYgvJaHIIBnVbxOVrq6ebHh0UWzXC6r1WqlCvMJDqDf/s4AulqtFlFYp77yGW9NXa1WI4rOeiPjScbOs9EEPaBLc/4fc8D4AR6cklMoFCL4wJqmnm16ejoAAXQdwCwAk3uyYczNzaUikDwnQCbbGY+ssG+8ODwERFxwJHG+qf0gK+Rn3RGoYkPyqDR0Zho3UHeIk092nEwo/6c+D1vFOBDE8cwU3Ua9LhcHkLVTr9dTjW4AkJeXl9FtlGwuNYFk3QB7AE4cPJfNzc0Ap17Pw5iRIfJNHEfOx94p/lmHWlIwAObn51MZJpexsbHI+B4eHqrRaMQ1b926FRkbxhDGBPrgTgjj4dl4qJfYZ6cWzs/Pp7o+Ejw7ODjQ+vp6ik7v+ogN8zIAbJw37sFBrdfrOjw8jHnMigcmyNiUSiXdvZt2Zaanp3V4eKhyuRwOqDuVPB/dTSVFjfkbb7whadQQiKycB4/83DIPtnrzq7m5ucgYsI7pgkn2nT+vI/Pz8/r4449TND6ACdk9P+Q+K+gO53+SQc9S/NArpyPyPWR2djbG2e0/PgQCmGCvva4Ob25uLmi9Xt/KtSqVihYXF9XpdLS4uBgMBGo5pRFdE0B7cXGhlZUVHRwcaG5uTu+8807YJkAHzCTGEV2dn5+PekeOrlhbWwswND8/r8PDw3jmxcVFVavV1DE0LujW+vq6JiYmtLy8rJmZmVzg89Zbb8V3HIy5Hblz504KgHgGiwAK3Yf9HrOzs7p7965OT09T3YlZT3fv3tXq6qr6/X5kQJl39EKS7t27p6WlJc3Pz2swGGh5eTl1vezcSlezlPfv30/9f2FhIXxW7O9NtM0333wzwP/GxkaM8d27dzUzMxMBg1KppHv37oUdr9VqASIl6f3339fFxcVLgeHy8nJc+zr58MMP9cEHH0iSvvnNb+rZs2dXfi8Nx9KDWwsLCwHOJYXv87ryqoDuv5H05mvf5WdcXiXNLKXpLNQWZWsp+JuaIuh5ABMybRhENlAcUi+8hwrIpu01UVzfa0igwlEATvZEGnWbhEpB1grgyTiQ2SMqB1CQRjU+t27dUqfTSQEVaJvUPkJD4L18/AAeOIBkB3E6aI5A4wuifnTdBFThlDtdiMwZ/8cJ5PBbuhJeXg6PfajX62F0MSyAk/Hx8dTZcWQ72ZjIsEqjBjE4Z07BJXNCQwdqcAC7jBM6MT8/r1arFWPk9EiybYBY5+HjCKCj/f7wMOitra0YY2+OwFw5xc+zYWTR0GM2WK/xBDChl7wPtDXX4WzdS7/fV6fTCaDC+nCqCdk2HCUOPz47O4ssBbQ1wArXn5yc1PLycswJesH1GW8ALDrjQAsA4A43lCgAUKFQUL1eD+eY4IeDEsA0wQwyp5eXl6pWqxGI8SAHAq2KxlIuRPAXFhZSVMRsBhsdvH37dnQNrNfrAQhXVlaizTrZJDJ5rVYr1h2glzV/cnKi+fn5WP9er+ybcTYKi4OIUwOjATuAcw7gIXNDIITPANqloeNIxqper0cAy4XaXI/2etdR1rc7YjjIDgw9M+7vha1bXFwMgEAGOC/LQ8Z5fX09OiT6fDF20qiphdfSSKNGFdgWxhxbARNhYWEhdJlAY7/fDztfqVQ0MzMTdD2CJugpe8vl5WXMm68D9iiCeWS6eY687AnvRpORhw8fpuw5wvM4yPF927N6yMzMjJrNZlzLj3oAOEBVY95mZ2ejHomGY3zm4uIigg04tYwHQZi8DN2rSrlc1ltvvaUHDx5E9pWgKoFcOnfm3cMzYJVKJbIt2Qwe9jubxfDMt4Nbd2hrtVoKiKCjxWJRd+/eVafTyXV4ycRkbTRgZGVlRUdHR7pz544ODg6C5riyshJnWq6trUWgjSBakiRaXl6Osghp6OADvghkERQ+Pj7WzMyM6vV6/OzOnTuhh+vr62q1WlpZWQlGlDN36Eh+nTg19o033shtOMT4DAaDFBhzxkClUtEv/uIvShoCLD8m4/79+2Gfs/OztLSk2dnZCJIjfAawfXJyopWVFTWbzdAB1wUylt1uV1NTU5qbm3vpAfEEYJCsjs7NzWlpaUndbjcSGXk1mMjMzEw0y8KmSwr/lve/ffu25ufn4/ezs7Ope1MS8SpA7O7duzfWIr799tspymkWO7BHwD5B8CVcXtdOSK8ODO9LOpb070t6rGGW8OfyTyBO6aPLmlP8/FBUovySwuGkFTLFzzhGOMs4bVBRyISQycnSqgADbHJkfiqVYYdPDv10+ot3cINbDuCZmZmJ2rJqtapmsxnZIChCgCrAG5kafz6yYllKqzRqbe30QQADoKZSqUR9EBFh54T7uJKFwBkvFArRwROghuNEZpDuhpOTk9rf39f09HRQzhgPj/4SHacAnSwsYI724ZVKJRxnsopkvHD2pOEmzIZExgeHCUcFowHwAhAydzhKjAWNemZnZ1NNNXDK+AzXqdfrqWY6NE85OztLHZeyuLgYdajQMXB+2GCZM7JyAC5qFcvlcjjW6Dlz7yAfQFOpVPTGG29ob29PpdKoCUCxWEzRfaBVJUmihYUF3b17Vzs7O9E4BZAxNzeny8tLraysRK1ItVpVvV5XvV4P0AbYgBoCfRAwsrKyona7rZOTE83NzanVaoVjMz09rVarpVqtlhor1kWv14usI+/IvdBp1rbXII6PjwdVySPJjAXz7IIzv7i4qEePHoWOrKyspCKnq6urOjk5CcdXGkYxW61WdIZFN95+++2ItOMk379/P+jX1KUQpee7fjQOUXl3lHDqcFpXVlaC1jYxMWwTfvfuXW1vbwdNj8wtUXtAEPSqiYkJvfPOO0ED4jn8LDOXtbW1aBqCU4ZNXVtb0/Lysubn51OUMcbUHeLl5eVwhIggS9K7774b9gqZn5/XBx98cOVcL2kYmV9dXQ0nmPt6kIfI+8TEhG7fvh3XIWJ++/btKD9455139OjRI0lDR7PRaESmBCB0584d3b9/X1988YXu3bsX91leXo7MDwEVaq8I4kEx++STT6LBF8ARG4jOoPectelRfIR3++CDD/Tll1/qww8/VL/fD8ceKRQKun//fmTEJaU+w8+J2EsjcE6m4etf/7qk4Vpot9t688034/5f+9rXJA0dv0KhoDfffFPNZlMffvhh2KB33nknwCLsi8XFRX37299Wp9PR17/+dX37299OHTnw08j6+noA9tnZ2WgedHk5PDqBbFi5XNZ3vvOdK99///33411Y+3TtdHHA8au/+qvxcweG7uS7fr///vspAPFrvzasVFpYWNB3v/tdff7556nPI7/wC78QWUAAR/aZu91ugCCys4yvNFyfX/va11JsAzJaR0dHsT6/853v6I//+I/DLnNGKhnXqakpfeMb39D+/n4AxVqtprt37+rdd9/V0dFRgAj8pnv37mlubu6ljQrRlbfeeiuaEWWFPbpcLqfsjGetpdGB8QTEERreIQ5AxsfHVa/XozEaAoB/9uxZ2HkCPXzfgV+5PDxujCBSXuY5K1nmXTaICdDe3t5O+cPXyePHjzU+Pq5GoxHnS0vDhjecTS0N2TBPnjwJwLazs5NqqnR+fq5WqxW1qjc9/4sXL67NCkvS97//fc3Pz+uXfumX9A/+wT+4Agx3dna0srKiZ8+epWqKO51Oau/e2dm50uH3p5FXBYb/t6Q3kyT5e699p59hyfKJHRR6VoD/e4YHx59MGplBgIxf36/hlCsWHQ4lWRYyHFA+oayy4ZKJdIcTqgndqVicTgkEFHCO0f7+vpaWlgJgEckh0k06H6AB9ZHsk2deAFCAyl6vF5RGMl98B0BRLBajaBtHo1arRQaFxiTQLNnoAToYGJxtzviBuiaNor3UfOFwLiwsRJc16mfIMNGhrtVq6a233oqGBJICuEHtcnpnoVAIsAKlkS6MZH8Aq4VCQbOzs2o2m+FMzs/P6+DgIFrWk50mWosDxhwB1vk5Y4YO4/ix2Var1TBKTpXyAARgmEwcXVn5w3tTK0lmkbP/AEy+pgDeNCpaX1+POWJT6vf7WlxcjKgfGedaraZms6mFhYWg6JABI5pZLBZ1//59PXz4UPPz82o0Gpqbm9P09LQWFxdT52oSBfVMLhRw5gGHenx8eNhzt9uN5+X+iGf1GLP5+fnIULPeyXJythyUPmjNBG58w1xYWAgglY0yzs/P686dO1dqtHAyAJhra2vhaNCcg9qo2dnZlMM9Pz8fm/jKykpQie7evRsg4a233tLCwkIA2vX1da2vr4d9pCbsG9/4hiRFVpMxrtVqqtfr4YDev38/ACDNjgjE1Go17ezsRAafGun79+/HAeDr6+sBBFdWVoKWmm2IsLq6mqolkYaUIEmR8RkbG0s5afzbswUACdYNkndWVrE47KSZ12wBOhzjwb3u3bsX2U4A9/3791WpVAIQsWbIvkLrR0fu3Lmjhw8fBnUMmhy1L+vr6yqXyxH8WF5e1vn5ud58880A3WT6sK8caXH37t2g7hKwwTnv9Xp6//33o8OyNLSXeV05+dnKykp0hPSfu3hGNfsZHGyfNyiJ2c98/etf18bGhvr9foBVLy9YX1+PrIY0Wi/j4+NaXFzUxcWF6vW6VldX9fTp08g+emfE15HFxUW1Wi1tbGxEx2sCULVaTevr62q327EnZIWx49gGgozZujhsRKlUSoFBB7Su6z7m3gRMSh9f0Wq1VCgUcutzJUV98MLCQuw56DDvtLS0pP39/cjaScNjARYXFyNIMTExoZOTkwike72vJH366afhF3U6najdPD09jSOINjc3I3BOgHt3d1cLCws6ODhQoTDsLL63t6dKpaJGo6Hz8/MbQQPvIQ1rja/LLqIjR0dHYZMlXQEuAJ/nz5+n7NjW1lbqfb3J1eHhoR4+fKhisZjKMvLcSTLs/As1mU67UrqL6Pb2tra2ttTpdFQqlbS7u6tisahvfetb17579vgT6q39moXCsIP26emp5ufnc4NlSK/X0+PHj9VsNnV5eanNzc0Yl6OjowB/+F2MQ6/XS1E82+12JD5ukvPzc+3s7MS6z9YqSkOAx+9hDrl4szeel2fwYOHLujS/TF4VGP5bkv5RoVD4fUm/r+EB9yFJkvyPL7tAoVD4e5L+ZUl7SZJ8+NXP/rakvyYJ7f1PkiT5/a9+9x9L+quSBpL+vSRJ/s9XfNZ/7iRLccFIQWuSRlkdOO849VCXqJPCaEIp84waWbLx8fFUIwkUDFrj+Ph4qhaMrA5UMrITlUolOunhyNPZDLBEgTLOLBFdgK03bwBcUJwPjYamEWRIJcXzYlgAL3RuwzkBqCLw/wGhbCRs6GRYqtWqHj16pKWlpRRwIUNH9okMVKk0PCNubW0touRkJi4vL7W6uhpZOjYUxop71+v1iC4uLS3p7t270XBgbGxMKysrmp2d1fLycmQ7qH87PDxMNaGhQ6QfNVEoFFJtsJeXlwNkAxzHxsYiOwLdFWd1ZWUlGqgAtCcnJ0PX5ubmIgJ4dHSke/fuRQaWxids7AQ3mPt6vR6gjS5s/BwaB+/GOE5MTGhrayvAEk4GekJwZHd3V4uLiyn6D/UdRGLfe+89PXr0SLOzs0GrI7rb6XTi3RcXF+NZV1dXIyMwNzene/fu6a233tLJyUmAqdu3b8e8raysRL0vdDdql2ge0ev19Pbbb2ttbS0yewQ5vDlEq9UKR25mZiaCLcvLy9ra2orvr62taWVlRaVSKTIA2BdqfNbW1tTr9bS4uBgAziPCOPJks1zefPNNzc/P6969e2o2mwHEmAvXbcAmlKXl5eUA3Q4MoVHxfbIUnFN2cnKi1dVVffDBBzG2e3t7evTokUqlUupwdhylDz74QI8ePdJgMNDBwUF0k3WaJLaJ+SGAxhEJZOKpBSSAs76+HpRrgN/S0lLQ5l0AM3m0OW9eldcUwp0Er991sH7dIcqwHbLCmltaWoqgjaRUB1p32GAq8AzS0Okgw+v1rKz3wWAQdLpqtar19XXNzc3FofKzs7NR3tBqtSKiLylsEs/PHkEAlEPdOUIEen673Van04njW0qlkvb29q5kRXCSOcKl0WhE8CQrNN1BfFxwEt05zZ5hiUO3u7sbteVffvmlvvnNb8Ycnpyc6PHjx/E8Y2Njevbsmd555x0dHh7q4OAgyihOT0+1t7cXTbAePHhwxTn+aeTx48eR+Tg7OwsGQLvdVqvVUrfbjTKNvLPWPv/8c0nSj370o+hIW6lU9OWXX6Y+98Mf/lC//du/rcePH+ujjz7S7/7u78b9kR/84Af6rd/6LUnSn/7pn+o3f/M3JUmffPKJfvSjH+l3fud3Uvf86KOP9OjRIx0dHeU64D/84Q91fn6uN954I8Zfkv7gD/5A3/ve9/Rnf/ZnATKfPn2qzz77TPv7+9ra2tL3v/99vffee/rxj3+s58+fBwOJoCp6jn7t7+/r448/Dt+JEhn8tKmpKT19+lSNRkNbW1t6+PCh+v2+2u22FhYW9JOf/ET379/XZ599FgH6n/zkJ5qentbHH3984xx+8cUXSpJEm5ubevLkiU5PT/Ubv/Ebqc989tln+vVf/3V99NFH+vTTT+PnUGYlaWNjI4DV48ePU+Cv2+2mAOrW1lb8G7AJkyz7mR//+Mf67LPPIiD/4sWLWCcPHjxIPcvOzk74PxsbG9dSH7e2trS6unpF9zk+CAEQcl70ycnJjfTUFy+2dqzgAAAgAElEQVReKEkS7e/v6/nz5xEQ63a76na7cf2f/OQnqUDO5uZmau1zru7LugJ/8cUXOjw8jM95h1l/V+xv3hr0bu5Oh/dmZ9KoJvd15VWB4bck3dawzvAvZ36XSHopMJT0P0j6r3I++18mSfJ3/QeFQuFrkn5X0tclrUr6h4VC4X6SJDd3cflzIj6JOLnQBVutlkqlUmx41KWQMfGzysiYYcw980j2yAv16erHJs1z4KACFN0wEp3nTDtqtqD5PXjwQO+995663W4AtrOzs4gYXVxcxGHivAORWwAY5/c4/fX8fHg4M9k+aXR4dKFQCEdOGhor2qT3+33t7e1pYWFBh4eHkZ2Cutput7W0tKTt7e1o5MJ7kj09OjqKDA2dC2mEs7e3p06no1arpeXlZe3v76tUKmlzc1PFYlEHBweRNSL7iBPe6/XiWACc1JOTEx0cHMRc02652+1GEfXBwUF0m5SUah2Pg0EmtdPpxO93d3cj2g4ooVnK4eGh9vb2IgNJW/QXL15ocXFR5+fnWl1djY2YCFqSJNrb2wvQNjMzE4f4Uq9Xq9V0fHys7e1tLSwspGpkj46OVCqVtL+/H5nFUqkU9Ws7OzsBbMmSDwaDmC8cd8aGetVnz56pXq9HzQKNL7a2tnR6eqpHjx6p1Wrp/PxcT58+1fLysprNphqNhmq1mvb29nRwcKCDgwM1Gg01Gg3t7+9H9BM69Y9+9CM1Go1oMsLa63Q62t/fDx1aWVlRp9OJph9k9s7Pz9VoNLSysqLHjx+H3qPXe3t7ERTa2trS2dlZBEcAvl5/Kw0j2NCzCRCxqZXLZR0cHETTjjzHamtrS81mUy9evLiyuX3++ec6PDxUv99PnS+Gk4dD8eTJk1inP/jBD3T//n09ffpU+/v7euONN/TgwYOgmOHclMtlffnll+p0Omo0Gnr8+LHK5WEX3U8++SSCVLVaTd///vf18OHDeP+trS1NTEzo0aNHevfdd/X555/r4cOHKhQKarVaQUvEYfn000+jScvp6alarVYENLa3t7W7uxvBl4ODg2jcQ7BiZ2cnbNLy8rK2t7e1tLSUcnYlxfp+8OBBOA+PHj3S22+/HY7Q1NRUOLzS6GDyJ0+exM/cidrY2IjM7MbGRqpWSBo6uk+ePLlSNycNnY+NjQ09evRIa2trcd8f//jHqlar+u53v6uNjY342ePHj0OviEi3Wi3t7Ozo9PRUGxsbev78edz32bNnevTokarVqlZXV3V4eKg/+qM/0ieffKKtra0Ag37GWK/X08bGRtgsatoGg4Fu376tsbExPX36NAD68fGxGo1G2I7j4+Ow596ZOs+R+sEPfqDvfe97+uijj2JtdzodPXv2LBWs4P3d2fzss8/i34ybg6Dt7e3UnD158kS//Mu/rE8//VT9fl/7+/vhjD958kQffvihPv744wiiNJtNbW1taXNzU++88452dnb04MEDVSrDY1tWV1f18OFD/cmf/Ik+/fRT/cqv/Ip2d3fVaDRyKYQvky+++EIPHjyILBX2B/sHa+fs7ExbW1tXmnuQIQL0vPvuu+p2uym7ICn048mTJ6nfPXz48Mq1JKWyWgAGBN1st9t6/PhxKuvrAv2PJj0AG8a/2Wxqe3tbn332mV68eBEO+ubmZtiIvb09vXjx4kpnbZghjUZD4+Pj2t7ejrUBG4N7E2g8ODgIG+PZNH7+6NEjdTqdCIo3m0212+0rwQbk2bNnunv3rprNZgQPWF9ZYWwXFhZS4M0zhuyxkqLRG/L8+fP4WaFQSAHKra0tLS4upqiV0giwMBY07aKGVUqfY9jtdnV4eKjDw8NgGuXVS0rpY1JcsmOFH4gfwrtdJ/hN+Efsi9T/8t3t7W11u90IlLVarRTgZIxf1hTKjzWTrh4vxGdY294ZGnHw53PGeyN0Un9deVVg+F9IupkA/BJJkuQfFwqFN1/x4/+KpP85SZIzSU8KhcKXkn5JQ0rrnzuhcygT6VTSbKONrJBJY9JLpVIAN6Iyx8fHoahkyHBq4Md7B0zOfONnHDJ9cXERVMtCoRDURmpBzs7OYrF4u3dpuDigNRL5wYmCcsImzoYO7UJS1BfyO2olAcg4vPDRyZ6xGHknMmx8H/43oCJJEjWbzQCh3W5Xc3NzqfOdoMp6sx8OYca58QhRo9HQ2tqadnZ2YvypUfKzJvf396Ohz9nZmU5PT8OxxvluNBoBULzehGdmTtEfsqhHR0ehY7VaLZp8dLtd7e/vR2QT8IoTTMOS8/PzMLQcC7GxsRGt5TEyBAjQWboRbm1tRbah2WyGEwd9sVKp6ODgIKX7h4eHQU88PT2N8yKd1ntycqJGoxGNYugoyqZEx0Uyc2QRLi4u1G63IxtEF8ednZ1wTqkrGB8f19bWlhqNRgCPs7MzdbvdiFKzbo6PjyOyT5MSQCjOCcAO+hobB4AdemSj0YgaX1+/6AE1xOgJ9Yp0gzw6Ogp2AZk2gCmZWiLn0FagkztFZXx8XHt7e7q4uLiyOUM5Pjo6iqzd22+/HZ1tcZDIBDebzdCVdrsda8QPkd7c3Ix1v7e3F+OKbWH+/fy8k5MTtdttDQYD7e3tqdvtphqw7O7uan9/X+fn51F/xvi5XdzZ2UkB63a7rd3dXZ2fn4ezSADt6OhIBwcHevPNNyMocuvWragVzaPr4OAxN6wn5p+14hQnHGF34sgmSWnGyeHhYQBDpyLBFslKq9XS3t5enDeIE0xAh+divty58HW6t7encrkcgUWuDe0bW0ITIdYya5iGMgQvms2mxsbG1Ol0NDY2pm63q2KxqP39fc3Ozqrb7er8/DxYEc1mM3UuG+fSlUqlCHrlCe8DNRCbmpfpZW0j7lihm+4Mb29vpxxPHNfj4+OghOG4M980gSKIubu7G3YXZ/zw8FD1ej3As8/z2dmZ9vb2XgsYeofodrsd40knZ4JX3lTOhXdnrwGQX1fHheON+Hi6nnm2ioAswvdfvHgRNfZ5fhL2jn2OcUdfWE8wKQAu/JEU/g57DPsS48QZqwSO2f+YN/YsAu5cC/u1uLiovb298Lu63a6Oj48jc48NzxPo3jBPyAjlfR5doSkc4kACerd0FWCRUSfQ5AEn2EnZI4/IfO3s7KTq2qkPl9LAzsFet9uN8o88yWsqlX0uSVE/S+AdhsN1cuvWreh8THJGGjI0aJoljVgx6C/NdZCZmRnt7u6+tD6U5k7oL/WCLlDmJaXWDsJ3ydgjWZYKDLHXlVcFhkuSmpL+NUlPJeWfzvh68u8UCoV/U9KfSPobSZK0JK1J+mP7zMZXP7sihULhr0v66/8Un+efugBIECYcxYaGgGPP5PM3WS1qAekeymcx7JJSxpoNExommwLNScgSQpOksQmGDiUGCAFecTyl0WIBdGAUDw8P414YVLoSQkuanp4O55GNGcqsHxgOR18atWCHfsniwKiQYW2329G0gPcF7JGFBPjt7e1Fd1Cch3K5rP39/RhL6CQAm4ODg8i00pXKGwgRwSFrydxwHAdAByOAoTw6OtLOzo6Ojo4iW8Qz0GmLzDKUWbp/EgCAHgqowDkrFovh4PZ6PR0cHKhYLKrRaESmlU2PWjzGl26L/J53ZK69C2H2uQhOsA6gM7NJM19kvekGy3yz0XinShrMoMM466yXW7duheGlEPvk5CQoU945cXNzU3fu3FGz2VSr1dLp6al2dnYi04Gzuru7G449QHZ3dzcCCzwDAIZMIuDm9PQ0aJGAs1arpYWFhQAT0E9PTk7CaYZWJinmmaZOp6fDQ685LgIdpNMqIIdOa8yLRx739/fV7Xa1s7NzhX4CUJ6dnY2MF7YJCpo0zMhhnwCBJycn2t3djbEj+k8ACZr6zs5OZOJZyzMzM9rc3NTbb78dziCOJtmNZrOZCmbgXHB9B0LPnz9XuVzW8vJyZGA9QESNIeOJvSKrg87s7u5GLSft5l1Yox61JghEFn1tbS0FQNB1Bzd7e3ux0bvjzdh652kyPHkRa3SNKD525vHjx9E9ljlkfRA5J9NBMOr4+FjPnz9PBbNarVY4UsfHx1pbW4v3xYbhdOF4b2xsxF7B+qXmmqCAdzlm3VM2gQPOmOGU50XgCXS02+0IFtHxMztvMAQQvx5z4PPNvoYwtg4gGEMHkOgC1yTDw3ixX2MHCGRtbW1FkO11BBZKo9EIn2N7ezt8E/ZhD2a6eHB6d3dXy8vLuQ2Y2AN59uz3pTRI8e/jH2Sv1el0tLu7G+szK9glbGU2Y9TpdFJ7D/qEDkujLAv6Jo16PgDo6aLsXcm5FvabIDqURuxWo9HQO++8o16vp6WlpWiihS28ifr34sULvffee+HPAAzyWALoKCUKiH+21WrFOqaMATk+Pk6tA58rLyPy+WROAIisC/ZrKT3/JAKws8fHx9dmS73mziWro94lG5twU2dO9JN9FoAOQ4t3gsWHve31eqlnbTQaV45ZyRNKi9h7s6BQUgQTpNHxVi7oCD00kFu3bqXWBWyj15VXPeD+f5F0IukPkyR5lCTJM//z2neX/mtJb2tIVd3WMDP5U0mSJP9tkiTfSZLkahutf07kukgCKWz/vxskgCJ0UIww9WSAhFKpFBsKlDQ2XIAWmSfuh5OOIw6l1Fvpk2bnD7VnbNrck+cl8gNYJWOBcne73cgykm2RFJsRNTjS6EBaaKAcbUC9nxtUjD/ZSBraEPXK8q8Zaxx5nBIACePIu+HY4BwRJT87O4tNligr5ypCSSVqhh7wWQA2dBXAjh/3AECDPklDHgq2AeuSYjPnXYnYY7B4jnK5HO9dLBZDPwDaOB5kZKH2knHjmQhOcE+ouBh/jmhg7nhnsgls3swlWTeK9Rlrz2wToCA7hY7hHJLpJmBAzRjddWmaw+ZNFoWOs2RO6SRHgwYMdKFQUKPRCEDLmAM0uB6OhVM7WUtHR0fRMQ0HgzHx5jsOhHCIcTaIjHsnNRxxB88ECgjo8O/s+WKsUe8gi7AJQq30bLFHg6kDxl7xTDjj1JNy3iS2zyOgRNaJ9pKRpP652+2q0+lEkASnjDVKRpS1tr29Hb8vlYYdaXmfFy9eRK2uNHSONjY2wg4RQMLuoq+8487OTugxgi5sbm6GAyUNARbrj/Xim7o73IizM3xOGC8yGcyRdyp2abfbAXiypQg4Ds4+YG4ZEyldewcIlBT7x/HxsSqVipaXl3V5ean9/f1gCmCnZmZmImAE84IsHvdkDgkwUGtMQA67jF3DNqGLeRF2uj9iO2E1ZDOM3u0bydbwZIX353c4i9gS6pyl0dxi83hmaZSJIyiLfZdGzenY51nXeZJXN+lCQzS3216HWy6XY4/Ko+ChD9goMr5ZloEHOnwMfQ/2jLnPG/Y3K+z/fqyPi+uMNzxD3A4A/qj9BmB4wAzbil8AO6ndbqeopgSByuXR0Tb0ePAjXug4zbrgntgT9Pe67BjZPTJxBPRvqkNzcCOlzwG8fft2ACH01efAxWmTExMT2t3djf0Q8aNM8EuZS67tc8K+S3M2KP55gn5m3zVbEoEP5Xbuugwsz1ooFKKpE8G65KsOsz4XdNmXFPYOIVD1svWXbRCT93l8NOlq11VJEcy7vLxMPV/WnjnL8HXkVYHhgaRFST8oFAp/t1Ao/E3/87o3T5JkN0mSQZIkl5L+Ow3popK0KckLANa/+tmfS7lusecJRhLjenl5GWBLUjjENKNAiFJlz2HCWEKxYNFA1wTsUcwK7dV551kHDEDoxoTrkx1iA8fx5TpE0TBevO/Y2FjQPXBkodU4HcSznXR7BEhAIfUOomRMuB7UHJxzqHtES/kb480YAibooMemSB0lmUAH5h7ZlkYHGzOHHPCddSwABmzeZHmYI8ae+cpm0Li/lKbYcD2eFweALGi/34+osm+kAEvv1JYFor7RsZnSwMODDoAPgCDRdYCmO4yAWq+LxVFCX9AddJx5Bki0Wq1wCnEIqDVifbn+Mh9sKNQaorO3bt1KAQ6ypHSVkxQZdepMGV8Ht6yR8fFxHR4exjgyV/686FWWgo6uskYY8/Pz8wA3PobQ83zdSSMAl9dMBUdncnIydIlxefHiRdgArktdqKRoYERnWWp8CSphC9Bl5pMAE84/809QiWx7uVyOjEyhUIjjaAAYNJLCFjYajXBm6vV6RPPJNuLE4/j6+PBuBJ7QKQd4NGLiftjny8vL6LoHndmDheigN3xgHrNzxb/Hx8fDIe/1epF9zUqxWIwOxQcHB/H9bKBMUthsxswBPs136KTL5wFA1BBSIwPQZ9y8Bgz7RRAKXfYMKPsQNoksOMEfL82Anp3nSJEN8n2BjpIuUMp9T8ujLLqjyf3Z332/ZF64njux2BmYKKwXAkUEIqShXhO4Amhe1/0w73ld0CeCHYwhzjx1VEmS5Ha85N3ZM8iiZzMlvgbc+b3u+fz77BkIOgR7B1ubFT+2CB+CZ5BGus2/j46OwgY4EOJ7ADDsz+LiotrtdvhF+CI8Hz4EwW32aoKMvV4vjgYBALKnU8qTTRS4cB8ajGFD83SB8ctmqd0+eEMZf29JUaeZvbc0An7n5+epbBxzi01inbPv+2f4N3sL+2q2EUtWshnVbECCeUQnCcBcJ/g8lEMAgMnmY0+2t7dTHePpDO6SPdswT7BrrI+8rDxrS1LslS7oB7qFZJMfNwUZXkVeFRj+R5IqGjaD+Q8k/a3Mn9eSQqHgfY7/VUmffPXv/1XS7xYKhfFCofCWpHcl/T+ve58/j0LGyztjolDQO70+D8cK55oNBYVhY3GnnaY2LExogkRq3SnFWQKUAqow6vPz8xHJokMdBgTDQCSPDQPHFyXmszh/cLJxIAAyOBVeM+GOlDRaQGTxcNpwMPgdTWu4BrQRB3hElvgetSMcRuydS4kI+rNhYLweEsovwKLf70dXPha0A1Oyajw/92QuAPkAUrIuOHo4U71eLwwKGUCAPo6C6wsb2GAwiLPfeAeit+gF80yWjM2YTYy5xXECbJEJIFLHBg8APTs7C8eUbAvgGieT58bhIns3NjamVquVqs3kvC5Jqew7800mGn2jgyXU4Nu3b8d4ex0Gc4kwDoAarg9YJrjDnHMIO+/q51OyVtAddxgBjAApHBfWFu9NIx/0E4Fal6UeSYqMPQEZIsNk2zhzDF1g7NAvMnSLi4sRVUeHpqeno56M8fe6Ot59YmIiWohDpSKLzTxiywC4rAuA7snJSUTIqXEje4mtk5SqiSVAQVYFZ9EzAtlMEl0JPSswPz8fHYKLxWJ0gUVwBLxuzNeJg0jG5/j4OKLHzOl1RwxA1/fz4arVaowHz4Ijh+3ETpC9PD8/D5q7NKKNub3z7DrrhQPfWR8wObLUe3fovVZIUuyF/X4/QEA225L3/l6vw7xia104O/Q6R5K917MkHvSURtQwatOmpqbCHvjnvNYYQODXwyaQhej1epqbm4vmVdc5oC8DhuyR2F32EQIxrE3qH7OSpXjSnTo77g6WrntW/3m2zCaPAsezX6fn0ijA5TaIvdcdbvbks7OzVF0W69aDUgilGwsLC+r3+6rVaql6e+wDvhiMqH6/r2azGQEr/qZUhg7xL3PiPVBA3T9AOSseuOG69GlAOEM5+x3G2ufAg4X4OYCl7PN5cE1SqmmLgynvKk1A/rp6wGy9qL+DCx3fWUfZkoms0Dxvfn5etVotVWPoNM5sc57scU/Qxm9qdCONWFQeAMuKn8FZLBavrB8Pnvr7U56ELCws/BN1JX1VYChJhRv+vPzLhcLvadg85r1CobBRKBT+qqS/UygUPi4UCj+W9Jc0BJ1KkuRTDemrP5H0f0j6t5M/xx1JXTnzOOF5gtKgTDj73rkTkIATxPWhBmDgcLpwWvgumQ0ca+hIbMAegWFjhkrKQeUoI40VZmZmYoHhjBK54drScDFNTk7Gezm9Bkqcg1F43BzwzTt6yhyj5QAGCgpOAUaORcwY8jf1WHwXugZ1h4AXqITQ8ACwt27divvxTDwfxoN35XgQqLX+XNBoAQIYKjYg6IVQXBwUUF82NTUVjjQbJs/mYw6wIMpHRganhc9KivnHcfUsA/dnDD1bi7MI6PaCdHQQ+iZ1tIBWryskqIFT74CJ60hD433nzh11Op1wTHlmgBnUSJ4J4SgSzmQjEMBRIDhUZDzZhBhPB8DuJKNPRKkBt5VKJTJXUEdZs0SgsRuTk5Mp6hxrkDlnjfIsrF2eCbqTv+/Z2Zk2Njau0INY157ppB5qbGwsVeCOg+IUcZxfmi1NTEwE0CeIVC6XdefOndjQEcCyOz9ecywpMmHoUb/f1wcffBCZq52dnZSjT6bcwQ8bPjWY3pgEXWO+0DPATZZShO6gY4wxuss6B3z6czEPPif83EEM63Bubi6oTwRO8qhJ3gjLgzc4Y9LorDi6fSI4JehcuTw8lNrbqXvQjp91Op1wWqrVaorGDDAjGEXmCtvKvoKdJTMDNZ559rIGQHge3ZNn5RrYzbw29qwbxK+Hbvpe7o63NALtp6enoZeAbu7nAT32bt8fPODAGhkMBmo0GjcCV3/G6wTdJ1AF/d2zEK1WS2dnZ0FddEHXeV6Cb1mHnnf2hlL+cym/sYY/Y953oIvmnUGJjU6SJHROGs0J+yfjiT3b3NxM1cBBZffAMsFsztplTyNgyHM7+wrqaLPZjM9Bgccmeu0uAOo6gEhQZ2FhIUXVzAPJPj9ZVhniDQvHxsZSNc9krRFfE5zByJFOCEEtfAJ8FBrwSbryrAROvYQpTzhWI7u+s2PF3OKvZKnhWZmbm1Or1YpzDFlbzA36Tj8AxoFApl8n73myAnuIz3s3XsQTPtBtXQjGVavVKzThbBbzZYGim+SVgGGSJMWb/rziNf5KkiS3kyQpJ0myniTJf58kyb+RJMk3kiT5hSRJfitJkm37/H+eJMnbSZK8lyTJ33/dF/z/UvK41S/jIfv3UEacfgwbER2cPZx/qFNQFnAevS4L4JhVGhx0HDKcUgeczq0HbHhxPTxtgBYAiufgvBfGAaea6D/3c85+pVKJzADZTt6ZjRnnlwwb9EQWO++cJEmcs1er1VI1mV6HCTjBwLKZs0lIigwjxtUNC5sH4+WLm0wLAKDRaKToK9Tw8MwAa6hOXpdIFzkyERzCDtikWyfPAah2QOTvypxCw2PjcR3CaeN9cXY9Wgo1j3kmoOG1sp5dxEHd3d1NZfaYE+bZG4Ogp+i011x6sT+ZGt7f9R8ARratVCpFLRbgC90F1JCRB8gwplCwcHzZlH2Ddboi2WE/agTnG/3mWdjs0EGcfIISl5ejjo+AfEA1a4nvko1wO3Tr1i2tr6/nbiREmskas2lBieE74+PjqlararVa4Wi5HtOtE7tC1JumN+gxa9iZDNgndAwdJzuIfRofH9cPf/jDeGYAjc89mzcZJ4/0U8s2PT0djhNRf77rwapbt26ljjdot9tB0YIRgK3gHv1+Pw6Mv0kmJibCGfSshjva6FK2lsgFcE02iPvSDVZKn6PoNt8j2+gVtl1SAC1sCsEzaQSqPbLunyVyzhrExo2NjaVACcGkrLPOuWLYdQJFWQEs4SSSpXRd91phB8Z51FQfZ2cM+HjBhnFata+JarUa3YHdIeZajA1jjp1Fb65z+PJqTF28npNacwKF7Kd0v8xrZMR4EHTiOtmD0wEZ2GXEbU62nhaZmZlJOdjeqRhAe12WjD2KPU0aOd8wYggAsa8uLCzEPaDgY9sBcPwccI4u0eTKgxQXFxfRNKjf78f5oT7HvJ/TXev1uprN5kvtAme4ur+WFZ8n/p2tgcOm83mfj2ymzdfE0tJSBCz8WQkiEaTu9XoBpHnfLCXea//Ze/Pk/fffl3QVeGVptBcXF5H5ow/ATYfOX1xc6Pbt23GME0IwFMoy1FSn4WdBNuv0JqEGm4zgdc/mVOw8uqmk2MeRJElSDXFo6ve68tNkDH8uP6WwuG5KZ9/0Pa9dIELEYidLwGbtdW2k56E8SYoIFkDKi6JxqnDGcH7ZLHged045SB7nBacCp01SdNpiw+M7koJbDlcaJwLg2+12o3aGzQtHDVAyGAyCpgElkcwJGwnP6+OB0abZCSCDBekNTxh73hFw7hShy8vLcKgAK9zPI01QHXDcAfE4/v1+P1rueyCAe+NcMKd0HvXsMaAHo8s7MrY4ATiMOB84NdAbGVt/X6+Z4d1xlMlc4cyTEcaA0jSE8SKTx/cmJyc1NzcX+uhg3Oll6KGPC/OCE4me0zAnW4hOxI86Md4bWtRgMIhrUEcKOICywbh5tpjxYI2trq6mHFHAGs+OzjrgkEaUKPSad2BtE3kEADFOZEIBPaxFAjA+lr5Je21LdnOjDnBmZiaVUeTgZ77X6/XijCaADHQt7BYZaLLRzCXrFj3GzoyPj0e3VfQBJ5n7sqF7JlsadQV2Og02DQYAdSPMO01Tms2mqtVq2A/P7GPber1eyr5KQ6eWTDn1i9gTxqpSqcT5rIhn2xCvX3LH+fbtUfUFDvjc3FwqG+hSKBQikEFXRUlBY3RdwE5k9yuCS9g0gmE+X0mSaGlpKeaI+lfsCnsGAT6yU9gr5g6HzoM/jDE1gFA1eSb0IM9JRl85fmBycjLVEIzrlsvlCAxk50XKB4lZ6jVgCnBBwNJlcnIy6in5Pg5irVYL2+x0bKfb54HfVxV0eDAYRDdZacSMwWm9Dnyhb5VKJY7JIVDr4vu9O/u+Fv0cw2ym0x1mZ5Ywf3ngyZkSZKr8WugRQTgC0JQWSIqO3ZQXeHD38vIyGpGhL1lmBv4P/gc2vdfrpSjw1Mp6qcLp6amq1eq1dEQH3y9evAj7dlPwwvWXDswIgVppSJN1O0bdO+KBGpgGBGP8+pLi/OFisRhHfPkaRMgU4t8R4MkTAE8W6GSDYV4OhR97U7DE9wgfD75Ddo6gPJnqbHDG2Ug3CQ2XvFwiK+zzyHXYgSCvf8+ppVce6SsAACAASURBVDdlYF9FXgkYFgqFP7jhzz967bv/jMhPCwwRp/3glOGoYxQwRIBBd5hZkGzcKJPXPGFQ+SxZkdnZ2fgMTgxOsfPk3cFzfrc0XKjUe3FAt2+YGHnoLRgIACROMwuIiKDXSkFdA3CwqIgy42DhpOLolUqlAIA4xryr01CYAyJbODvcKxttZsx4J8880vwDAAeFAoeMd4di62OEU+o1k56R4T0BKowVc0WmjoL6i4uLVOMZall8Y2L+cAa9LoDsK8Km40EEzgyTFJsmGy4bBu9HBoooM1Q6vsca8LpGMgY43MwNer6wsKAnT56oVqtFXZE7+czVxcVFNHBxSlupVFKtVov78cwO1Mrlsubn54Mu5+dl7e/vRyZjYmIiBSA9eg+l1LP/zL/TWRB0nCNWmE8AM9k99NSBNc6IRxfp9pltUMC9mMs8MON1awSsHHwCshkHAABRWWkYNODsSIAMWXCcOeiXZB8JxniWhg2aumHvoIl9cToka5rMJdcEeGBzaBICyMfmZOuhWN84kdk1IQ1B/+zsbGqdMZ/ZOjTEN3h3tLH1x8fHV+ipCHaQg7V5Xm+6AaDhrEKn4UuKM0+zVFuCdV5f6iAP55hgFOCMd8PhxEEniFgul7W4uBjOI2uDtS0NqWs+bv7cLm6PaNzimTzez8cKcceN9eLfgyKOcN6ZA1ucTQA9Ok72stVqxbzjOBYKhbD12ewc4/A6cnl5GY4zFHn2D+wsbI68ei/s/dnZmWZmZsKpz4IT5jVLC/WsjGfB3cmGKYF4dho2Sp4Dzu99zKU0BZjuyK1WKwIJ2Wwe84/eYB+kUTMQDq5nb8MGS4reCLBDms1mjCV7AIHfy8vLyBoDZq7L8vh4ESSo1Wq5h8LzXB44IXiEnJ2dxZ5C2QnCsRs+toiXnbhdQzfQVfyZi4uLoJn62iF4AuX+uuynNNr7sn50NnjhAdhut3ttEAGBys2cMff4ZPyfEgQPLGczrM6Cuk7wLbBh182dl0fkUd55Jl8HpVIpVaNO8ud15VUzhn9R0r/41d/82///c7lBXkbxuE7c4cvSMPg/jioGPrsZAxpozsCCxbGFbkaUWxqdHUdkCKoPf5OhmJqaCiopThv3Aqi5c8G1eEYcX74HFYnF7UCPDcNrrsgusSFQH+fNcVjwGEk2WAebGGkcHMCTO4UYLgwjdEzojt4uHme/Wq2mqFkABp6VJkEYXrK6GA6yfFwT8Uwm48jP+EPNnp9DCMWRsYHixnvhGAAqcZDpoMmYAVxxlNEz7usAACMKKCG4wP89MwYFC+eSbpZkMPlTKBSiIQgNA8jUMY9jY8OmM7Va7cqzktWFegmtE+eIDciz2cwp4ImxQD+YX9dtaEusT6dCA3x4bs8YOnXRo+k4IDjgZE1cnxgjj3aTXSRIkd00yJ5Cj3YhS8S6I4pKzQ6bOdlgp77gCDHPbMDoM8CP8a9Wq0HFgmZL9Jk1SWQep8MzCvyeQBH3wH5QE0pACL3EZpAB8WAMusY6JigwOTmpqampKw0VWAfMtTR0bGgWQHbSo7t8zp1xxi4rftA6c0XdUt4+w3PMzs5G8EQaOrlZhw3HpVarpaLi1Wo1nNgshQzx4CJ6RDAFHcCeMC+sfWwnrAeOCuAz2ADAFsHGfr8ftv5VOnXi3GUdYXSYTCfijhfXd/3OAnH+jz31oIxfh/WILWPfdbaPU8BZN6wjpy+7XNe8w39fr9fDRnO9UqkUgSGOw8i7FmPDvEEVzAaT0Odut5uaFwcbnpFyyeoXOg0g9DXvgq5gG/keuo1dYV/jWfzAcdYtOsdzEAAhSEa2HZ8L2jpNhSRF915opQReCdZ6mRGBQSiaeeKlFwQ4oSNnhXVIpov396wjgWFpmBnL1qtdt55gdDmbiedCYIphKx1ku3BP99/yhGfJAkMCMQgZX2e/3UTvXFlZifIUrzv3oLSkmBfsxNraWso2e23iTYJOMj/Z5/d7S6OEUJ5kA2GAV///y5rh3CSvCgz/8Vd//vCrP38maSDp8quf/1xukOyGfV1UCNDCvz3jBaiSFA1HvDMiIAXniEwPGTA2HWqlcJa925Vz33HgPfIjKaiCfIfF4AYAkOL1RzwbZzRh2KSRwSAdT2dKDIZH4HzheIQN59sjh4BHB5IYaO8wKo3OQMQAQG/0DCb3IVOBc+zHDZCxcEopBpT3c8qbU4W82Q9RKL4HcAK84kDQsdIBNXqBYfDsEY4GQIRnASygKxcXFxFZBzSSTfZaHQ8Y8M5cwx0rQAxzxOd5Z3SaDm3op1NwcPbPzs7UbrdjDBh7MnZkbW7duhUbM5k/avTQAdYYdNF2ux0b/dHRkWq1Wup6XtvGfBOA4HoYbQcrzCvzuLCwEACGeWKe5+bmIrNAgAYnGKeaTddrkWq1WnRUY71Tx+X6UiwWU8BkcXExHPGsQwD1j3dm3XAmE+tnZmZGR0dHqUOXGTdvZAU9nO+xeQM+yE6yyQ8Gg6DO4nx50weuizONzhG1dgeMzCUOGk4oARuvFyJA4llUnDfYB9maGOrHsM0Owm7fvq3T09PogOfONJ/zjZz5l9IHIXtpAP8GNOQ5le4ks/alNCWV+2KDCB6hCxypQJCHLDFr6PLyMs6/A9j52iIDwfx4MIw5IgBBa3+ccGwENgybAO0S+zUYDFKOEYJD7SwRSVFLJ40i9zs7O6kAbB5A8XtkHWiyJrz75eVlRPw9O0MA7ezsTLdv3457AoAJ+rnjR82TXzMrL2Mm7e3txbrFvhOkAiyz72XBnjRaa7ynszVcvOTBAYeP3XXvAG3d/y8p9UzXZWYA5OVyOYJ16JnTmr2hVbbuzumH2K5isZiqaWWtOcMFRgqAkn2frCrBNdYA7CLq0KHwXjeHBAM4bxMbk/d5fLLNzc0Ys52dnRSYabfbqXpxp3wPBoMUiHQ95BoE1xD0G2om+uQMARcv+ZGUOpYsK3wm24U0m3GD4sse63tvnnAm5f7+ftS8S6MaWsan0WioXq+nMn3OuHHG0k2SDabmZQzpfyGNgvl54jXs0qivBcIZna8rr9o45i8mSfKX7M9fkPQ1SS1J/9tr3/1nRLJc6OsUyDd3pwFgvDwjhKOKE8NG6hEG6G0sEpxFKHGVSkUzMzOR7fMaNEAqlFJJUWsG8JFGi5bMitNSfMOgHmd+fl7Hx8ep7l9E0AABOMyALjIx3BeH15uE4EhBncSIY3izYz4YDI9fyPLKGTc6rjltFCeI1u3MKxkwPgM45A/3cMogoMvpq55N4TmYC0CRgzxvcJDN3qFDOFcAKGrv0AOAw9nZWUT6MIrUExSLxTDkPCPAh/fHmWOevUsn441+osMOypkD6uGoJ/XxIQrpFEl0nAAGzX24L8/F3JXL5VQTFGlkVLNR3ImJiXCGoWExD6wDOs1SCwcYZOOgpilb4O8ZbDJkOPHeMZfobKlUSjXLKZVG9W40Tjk8PNTBwUE4KqwRMmzMn1MsJemzzz5LUZFdGN/CV3VHHJEAqOKdqJFx0Mb7ef1ut9vV9PR0ZJ2npqYiM8v7AhBgBMzMzERDKbLggI9sO2/Gh0gwz3J4eBhO99jYWKw3AP3Y2Fh0FCVjzbgXi8W4J/Q/nLpsFBzKKWAdHYAmSCTX7ZGDPYQMJrqS/axnJAn45DmJ2GwCQTwToFsa2T4aGrAO+Js5JdiWDeiRjUEPndJL5gtwiP0GGPBMWaYC9txBop9bij3gXa6LrHv2BPuGTUR83XuGwT+Tl6WiDj4rvHseWCfwwHv6gfWMI8yATqcTASgCW9QM58l12SZ/n0qlosPDQzUajQgEoHfsRwQ/s+LA14+PyQo/c8efccl7Vv/M5ORk6hgE9jLO/JXSjXxcmAtAmAsN36anp3VxcRGN+tjL/broE/s6AouFjCljyvfZ09gfWMNkMbPUWtbg2dmZZmdntbm5ee3xHg7ckiTR1taW6vV6bmYPELmwsJCiyfpnFxYWUo290MFOp5PKaPJ7fw4CCnkZdRfWP/Pun2f/Y316LWJWnP7ukg0QECzDZnjWN0+wA7Va7cr9vY8Evqc3QvLr4lPdlJ2UrnYzzXvfwWAQ+u+Z7bxnd6lUKingT1LndeW1m88kSfKlpE8l/buvffefEXlZJCFPiGKj/B4hZ3F6RIRFRgaRDcg59mQKoWXgtGE0cIwAaKSnPSPJvbLdv3Cm/Tw0NgZoB4VCIQqdeUbPMnrjEcAhTg3GntovjnAA9BLR5vtOK8TxZwwQjBPv5jUtWQeBjnmlUiloWdQjAaw5ZsNrCwEFjBE1Lhh6p9LynE5dZSPCyfDaRDY56k0JEHhU2r/LPNMWm82KTJRTlLO0TKJiPGu5XA7D5dlX6rvQLbIrBDMkBdB0ig6NYHA+B4NBOJI08XEdwTB6ZhhQTM0SGzhONA4ZhpeNgYhwkgyPW+FeAGsH59BUeBav/eEdAVjdbjdquXgmACJnYPG8BHqSJAnnlevgaAK6neKC/nM9pxYxBoB6dBLqOEJdQ7FYTNUBkWl0mjq/x0lFAP5+RiTUPOiJ/Iy1dXJyomazGYELov3oHOuSCDk0ukKhENm/bGCKdc01eEb+zeeYB9bTwcFBKpPvGR7WMf8GzGadIZxBxLNVtBdnTt2+uJPpc0eDDne+GUeCMX6fPOopzS6WlpZS9/SMAXsE2fAs2CHzISkCSLyXlygQoALQ8HvsljNcsMfUKAKYvTGHO/o+V25visVhk4vT09PcIxYYO8acIJjvyUTumWN/b4S5yDpkPqbeMCbrtOLwOwtiYmJCU1NToWuAcoC12z3OMoTKmCc3Uccow6AFPjWw7IHoNn5BNjvDGEoKRsXc3FyuzvlZdu78uh7nNe3xeyCsDQJaBHSzn8UWVCqVlA3zwJUfc4W+Zc8Oxd5ik+iWzB5PEIs9xcENvgV6KSk6h3ugCRq4M55OT0+1srJybYaI8WJfXVpaupIIQJyF48emeOYOn0YagkGytCQCHMC6Xer3+9FUzX/uR19kS5OYXwc5ANDz8/Ogau7s7OS+OzY1q/fZhMvZ2ejMY8DrTfW4dMmHFcN9AOzcj2dkTVD+4GNCacFNQj2xg/yswI6RFD5pnrjvLI2SAAhr+3XlVZvP/M3Mn/+sUCj8T5J+TdJVa/xzSclNmwmSV9uDY4sT73VeGCrqnthsHbw5sMMpoVUz36czHxF0z+qwofMOOJlE0zBS0qg+Dp494DFLfSMK5w6+O3AeyZbSNQBHR0fR6pu2xLynF1NjMNwx5Z3IEmDApNHZa2QbLy8vU2DJM1e812AwULfbTWUPOTQWg8LmkgVOvCdgiPuzkGmSQBMO5hUevtMI+BswKI2K6KmNAojyPNQ5QhvJUoUBZlIauOLMMUb9fj8oIIwXVD2yVk5VdUCFDhweHsY7eV0Txz30+/1watiIs7Vs6C61TLx/qVTS1tZWGE13+j3rR3MkvuuUIUAZNEpAHt0nx8bGojaWDCzjAS3Wn4nNC/DnmUQcET5PF082OWoIuS9rm7VTq9VSjjtzCrWU7FixWExt0gQ3eC9fe5619BrB6elpdbvduDfrsFQqpZp5MO/MK/rK/yuVSoBynoExmpubS9k71gFj6o0oyADwvPzfm9owjoARslmDwSCCYjjXHJ8DHQe7x7PnUUmnp6e1u7sbQSPGuFQq6cWLFyqXy+Hcuo1zyrfPCd9354bjMCqVSmQGCJzlyfn5uWq1mvb29lSv18M2otdcSxp1PsSOMEd0efTGTfweJ9lZDTwT+wD7FjrMujo7OwvnjLkA8LKO2HcITBUKhah1xCYTFMqrW/OsyNjYWNDcfL/1BmoOJFxo/uGAD+ol8tZbb8XcYctxuL2O0csv/GxCgDE6jN3EHtMg6Toa5k3UMcoh6vV6BIKgj2ftkLMRXAAS7Busrazv4mcFO+i7LnvjDn62ARbjiF2QRkDBv8dzkL3xbLak8HvwB3q9XhyN4Zlz9DgbhERvHDBkmRjMGc9NLTF2HQor9tCz99i067I8DtQ59qXdbqcojQh64Blb1hbiNXMEDCTp4cOHqeALn0XK5XIE1/wz2AqCnQR8nUHi809w/fLyMmytg/Q8yQY+ssEX2DnohSdW8mRyclIzMzNqt9vxrC6MD3OPLmYZH/wuC1SzQrkE380D9cViMcYhe4h93rMhJC4Q19PXkVfNGP5tSX/L/vynkv7KV7/7w9e++8+IZJF7HpLPZhU9U+CK5JECMgE44XD6fePjb6dTOghx4wflgYwXgJQIKA4XEbfz8/MwQlA+vS4RQ+xOO9chPe/1hdLI6XK+Nxsk2Z9icVg/x6LHiWA8MNhEZT1Cy3VwNnBQyExh3DHgvCvj7il6ok3UDOHk4CBBt2AjA2QRrTw6OormJIwdju/k5GSqZb5TMPk3wAtDjoHC2eWwaUAN2UiaDDj9mLEga0rhOtcEMAF+pFHNFY1P0B0+w6br1FTmm7FwOjF6wbUlxZyRoYFOiSPPePj6YQynp6ejCQAbF7roGyXAXFK0YSeDS4tyGggUi8WISJLB4DPUmgIi2u12PCMO7mAwiCwqz+UAlEirU5UJhgAqWB9ZujZ0PXSPrBoAkqin1wNLiufEqXLp9Xo6PDwM28D3eAeEsxU3NjZiM3NAw3X9sGAcUNY1gTBa+u/u7saG67XJ6BCUVGyhO3Xn5+eq1+ux3sna4VijL04T57gCslbQhAkUMY/ValW1Wi111IA0zDwtLS1FAM0diVqtFsEIzmVF/AgJxIHodZQt6gSxg3l1YTiztVotdaj1rVu34t8eSHOQyfPAcmBvcVYBwQvG5vx82JTMGxmhj/ybJj2AX9YQ+sJ9sBvZ6Dh2l0wjtb95gAm9w46gDy68b6PRiDEnm4e4/fBrexYm273RwbczflhPgDUfb0AIttKZD9jp6zITL2MmcV+AJ+OL+P1oKufiNXpe850Vfsa75olnQrK0Ug9aoTflclnVajVYBtLVjBHv5QCZZ2G9dTqdyOh58JpnwnawVr0D79LSUmRWAQsEnDwL7SwimCc+Jnwma/9gjeQJ40jQEt8iz5dkfeJbSEPd9nH1o1nI7kvD2lu3PVnBHmZZD4CZsbGxCOYTwOE+3ghnbGxM7XY79lNqlG+SbPDLa1GlYTDZ90T3EfPk7OwsgrqwiaQRqMKeVirDI4YYk+x9CejclJ1E3DfP+/zExEQE6DjeJ0/Y7xD2dQS9fF35aaikhcyffUm/J+mvvfbd/38uKNJNPOfrBKPjbXMBBDhLbHalUinAiWcp+B1RVd9o+eONQhw8scC5FkZUSqet2Xhv374dmTsoPWzwOO444NTesTCIMlHjgqH0jY7zcTwj4/VenlHgHhgFHBd/Fhw87k1W1Wt1oEQATBjPQqEQWSYypNRXOWgF0HqDH0lxbg5jzAYC2GNDwhFnI5ZGxgTAzfvx/ugIY8d1yRyS1XRnC8B+cXERoLper8f4sckBMHFSmDucFXSHqCwODQEAdAz9hdbEszAv3BeghM5Dy3FaKUCr8FU9EllJjOL8/LwuLoat8OH482xcZ2xsLKiYZCk5a44MEFkgdBpnlvVDLV+lUolzqRg3D1wAOImMA1A9o0cggnHzZhZuD1yneD50zSnGNG3C2QScIegG+upSqVQ0Pz8fmy1NOwicINgWb4uedTrJzrJGCQIxrqwdasEIUHhthtdgYy/Q8ywlk7oP7oeTt7e3F5Rdp5q2Wq0IavBz7gd12iPSlUolDkHm/6xFshLS0AnDoSJYlgU6jClC3SNjmxXPBnhgKyv8jAwR9221WldoStg3PuNNxgh67ezsxHuho/zNvlAul9XpdOJz6DaMgvPz8+hYSSa60+mE3SIAwpgQRMGueudIp5xmdTcrgP0sgNre3r4yXoPBIOpCs2OEkPVHnC5KYABn3NcEoJE5JvPruuONVLCh1Ni/ePEi9/2yzKSsONWWrA/7DUwF9tA7d+5c+T7vQEATXyI7nn4MiYMR12PXf3eQoWr6/xmby8tL1ev1CAD4ODA27IveLI570+kXZgL7Pj6M047RZ2rwkyTRwcGBFhYWglKPDnowl9pnqKuSYk/xUgFp5PcAhicmJq71Ff2MTPbLsbGx3IwSOsrc8gwOFHZ3dwPgUOIgDf0s9ozrnoN92vXNg/T8m/2U+XXmFM310Pfl5eVrQRCSBavZ5i1klT1YdBNYw78m4O+ZYwfzOzs7qtfr8b7tdjtlB+bn5yOw/bLn54+UH8ghky0paPl5ks1alkrp4yroBv268qrNZ4o5f1aSJPnXkyS5Glr6uUi6vnvWy8QXdpb24nUwOLjQOjyTR8rf6TyesSJThtMojTpzslicP4/T68XEZN6koaOBQ+c1cmyETjlxMMb7sflLV5sgQM/EAFMIzIYJkM0CDGnUqh/6BsCAKBXjQqbM6RxQp/h3qVQKJ9UNCgCo1WpFlmZ8fDwOR89map0GxXMyJhx9wcbGM7HhsRHTLhtAiwMBcMIxJVPL7xgv6KrML7QoslH9fl+NRiPABDWcROkBMLwPm59nLwB5TlfCwWbzYZNwBwNHE33BsWRT9/ECTOP849wCxlqtVuiJ08j8O+g8WVppCIDYHNjgnQpLVs/riQie8Hnmkto4nE5o13TZTJIk/ub5yfh5V1jmAjov32dOCCKQnQRosb6ZCxq5IJ7N9wg/Y8Y90At0uVarpc6Y8uZVrgPQhKAOe5YF/abLJDRPrkFWiTHG+eKdnZrtWVSnNvEsBLpwygeDQTh4fBcADTUHSir2jM8SuMnSj05PT3V8fJyqHdvf30/9u1qtpsbfAyE+Ljg1ngnzmitqcrDDefsN4+L0Z37OtfgZdjbryBFwgR7tNTJOQ/R3wiZLo0YIBAepa/bMKuyCUqkUVHSCe9h833+wGYAvd25dABmwJNB1F2wgTi/vnAdq/KgIwFFWsM+VSiXm3cscWKfYZ35HkAmb5vvkxMSEqtWq2u32tU77dVkeSamxvry8DPDNuuZZpBGNPyuMG4HGbEYIQW9qtVrqmXzc/TueaSV4gHhAlMCX19v5u6Nv+DjSqK6tUChof38/bD/7MiUgPBN7jQeMKDOAucC8Az4848h88nPG9fz8POp6Gffp6em4LqyU67JmDragpALQs8L4OUB2n0gaBjE8yOZ2/bqzIhkPwLtfz7O0HrCHUcB3mRPWGn4EAeybJAt0sqCPe7Hvvwq9k/3/4uIiGqvRnZ2xc0aFNLQpbmuSZNTv4SZhnglQ5tUPXl5eRsaQc1/zJGvHstlj77z/OvLazWd+Lq8ueRHfPMlGEpwumE3dQ4ej5gLQByjBIcPBdofaF65nMcjCkXnC0SOS64BIUrSOl0aHfLLpU3uFo+zn8w0Gg3D2nG7Jc2J8AFIsXBw0nGoicIwNjoI36PFGMEmShLN7fn4eGT4yMdCMABWMF98HTGDwmRfGHBCAYw7dEeHzOLVeI+QRKjfUgB8iUjjFRK1wnHCu2KgBgfyeqCggDaOJUzkYDBsczM7OxrsSuUJXeD/ANJs1GxBAE9oe88c7oHc4PHlZNQAt85LNtKFrWZCNjuCAYti5ptOnPBNOJBrAhH47HZVs1snJiZaWltRoNCKbB22GjdfrDJlD5gQ9o6bBz5QEcPBs6C738cgv+uPZfuYVOq+DWG/QQ6bUncuDg4OYH6fJlMvl1D2cOjYYDOKgaHSYe/m1ybBCA+bgeezE+Pi4zs7OgubJ/PHsjJGv42q1Ghkn34xxfAEWnPclKZwwp4sDJny+AZY4iawR6oGZGyl9FATvik3sdDqx5qgV5p7ZyLIH31wA0O4A8T6tVivm6vDwMDLqWcHZZM16sAXbzX2bzWbU/Pq9oCefnJykjnmgPp09g4CMr7uxsWEtLPTRZrMZHUyJ7tPcwQOF6CM2H30oFIa1t4Bc7L/Xirl4wwi3ry7oK9lq6WpQ1zPHSF5XWkmx1zkrxjM7BB84Y9UDN561yzJ0BoOB5ufnr60nvUmcqk5ADHYI88feypE3N11rMBhob29Pg8HgCu2UMcw2wHBnOhtEQMrlcgpkML4Eg6empiJLnx179hKCAC5kL2HpsG6npqZSARAvWXHbOjExEdlC32+wE54pA3BmaYPOmGKu8bu8IWCeuP71+8Njcer1eq7O+/FH2Bb8AcQzTH6N7e1tzc3NXQsqKBkikInwnoeHh+EjeRDP56vZbKaCURy5lZehd8mOTV7zL8aXEpKb6KnoPfsI4wPw8+tT9ywpSnwQmDAvo3JLabbddTRgrr24uHitPrCnIjACkbm5uX92NYaFQuHvvMqf1777z4i8jDuN+EJjcbkDC8WEjQOgcXR0lOo4enJyEpsAmzAbqAMTGgr4RkT2zhvHOI0LMIlRxNi788kCwsnluxgGIjKeWgeE4mxzfQApQMQPTyZLKo0411DcHNQSpZUUnU2hWeDAELHib480QbHjXTCabA7S0KCyIbCwaQzkdDcMdblcju6GOPJEJKE2MedQLrg2Gw6ZNa/5AGBQY4VzRYQJSlav1wuD6Bk5Cvc9s4w+ehTVM1uSgorpVEmcHgwYOuv6SICDIMLFxYVmZ2cjKupNBRg/jq0ADJEJAwyhh4wV2T10juwrYIZ3cKooWbJsA4V+vx90JnQJfXYqCgEIQAZjh0POXDh9j3fhfQAlvk5wUjyzQiCh3++nzvrk+ZlHxosjahCCGuVyOZpsIOfnw/O6yOQRoWZMcOKgTPt1mZOdnZ0Aw8w9GVqcZM+Ycj0o2tyPeSJIgf4zrpIiU5okiVqtVurnTuEkoOCRYUAUP2dOeT7WMPPpwQppSCnCWXY66vr6ejT6mJ2dTY3jdUKGSErXUvG+c3Nz8S7Y8bzasyQZnic2MzOj3d3deF4CLoynz6mzJPg57Ijj4+OUDXMHifXTbrdjHtBZ6izJErDGWUPYaII+6GulUgkWBqwOnGiALrqelzF0Sr2kK5kOadRx1LNfXBfJy8Zlz6P0MXfw5/OGSQWORwAAIABJREFUI8w79Ho97e/vxz3YJ539wPNvb29HYCdPbvIzOLSeLB71XeyBHvDxjJsL74pfgD3JHtTNeoKRg/g1PXjkz93tdlP0OQJPGxsbMY7exRXBtoyPj2tubi51rI6UPhKGM3AJ5GUZIYAFSVEu0ul0olabfevy8lKtViv2GfSW8YQKT4kFts/BJZ8nW39dhosg0NjYWNhvjvTJCuM8GIyaaaFTSKfTCcqvz/flZX4TJ8R9vzwgBHgmgOaZQO5/cHAQezB1fp7xvU6826x09SxMwBl7vI9FngwGAx0eHgYlFT1k/tBR/A0Cfe7LSiMg+TIqd7FYTJ2XmFcDODExofX1dUmjrql5wtghFxcXqeDT9vb2jQyCl8nLUln/oaS/8Qp/fi43yOtMEMYJQ4Tjz4bDpgJA8CgvmxqbKE6kO9NEJvmDA+rXwfFi4yU7SXOO8fHxiBZ6N0Wi/FBVydLg7DMm2Y2Mjf7o6CgMJ2CC58bpGAwGQWtyOsfk5GRs/jh4vAvvgCEGCEojEIYB9e9j3AAWRGe4JhQRNhs2LCKCOFzUt0CJYgwwKFBX33///RSQAGgRGODnjCMAFGcMJ8sPA8fwoleePfJ6TOhefoQBWSinivIzKHn1ej3lKBMRZT4w1rwDBty7qhJ5ZcxpSMG8OM2Xd6K5EO+PAHqPjo40MzMTjQuI4js1Gn3FeWdNoQMESshCUSNF5s2BtGesuT9ACH0COPZ6vaj7IoOO41AuDztY4nw7DZLxgoaJPjhVB8DrUW8ysdnILHpdLBav1DRwfW8sJI2omVnJBrcKhYJmZ2cjY0TdiTSi4qFv6BJU51KpFOPM2LLWWdPeIdCpRHyGzZyNE11fWlqKuSDA5PWbUK1LpVKMJxQ6p6M5MNjf39eHH34YdDEycoPBQCsrKyoUCpHp9GguNtHtoTsfPs7uHPG9YrGYanPuQvZqf38/wJiUrpNxe0V9rF+fLICUpgDCCnBaL53+0CeuwVwSUCHjTcMkdN//DeWW/Yefe9dPAlB5tF7XR0oRAMkuXMtrkmDAIB4gQ5zW6MJ+77Qwr9cka5d8VVtFMAbWB3un731Qkz0LmZWXMZPIiBJwgpWBvaEO1gOCLgAyzjus1+tRnuHibBf/nY9Vtq4QYZ6z70QAyv0Gp/Xyu2zWzVlKPMvc3Fzsc41GIxUYYu/Ht2Kfmp+fjwZO2DECV84cQueTZHhET61WCxuGf+TAjT0CBsl14AiQ0mq1tLm5qV6vp06nk9twiXeme7s0qslGFhYWYvwqlUqqrg2bjGSzu+12OxX0d6FJF3NaKpVC9x3QcyyUlwm8DBhm13cWRPN7gpzspTcJZQ7YeUkpxpKkYLf4MSke2CDY8DJgSAMlb4SUlaxPfN2YOO2d7/k8eZ3268ircByzTWeyf34u/wykUBg1ooBOIw0XF86eZ0twqgGEAEoi29LoYGDqyLi21+X53/wcI0BtFQsHh0caRWu8XmcwGAQYcqcX542f4Vx4RBJqLN+hjo0NhesTlcNQA14dxFHTISn1Xk7/yG7YAA+nqE5NTcXnuT/XJmvn36fRi1M7oMdRowBgd4DaaDTCScCwUevEeGBAfCN3Rw/A7JlYIuI0zIG2wPW4J9FswLBTsDDkgDuCDH5AObQL5+ZDQwbkMlZsTmRQ0SGyDMwZhpv7UePlToivAZ5heno6Gpi4I8t9cJbJoPN95pRxolHR06dPo3aU5kCVyuhcMO+oCOW53+9Hx1LmdHZ2NqK+UCBxHnh+iul9fljrRLqZG56TjL7bDJ6BLJGzABhfnEIX1pDX0jgVEdAtKbLQOC3SMOKJ4whdtVQqxdgSsYVCCC0X28cxFugVa8dBePbMRGwdWV/Gh/VKwIOsAfUhl5eXmp2djRb8Tu3u9XrqdrtBGUJfcQYRmpscHByk2u5PTEzE+YsrKytXghieiUcINGXFG4gwX9RO5WWM9vf3dXh4qMXFRY2Pj8czTU9PB5WM+cJx4zM4P+gRwR2e09c3eokuoK9kdlmbMAawv9hv7DT2BjuBPSVbSLCD6xPwGR8fvwIUpBEgc/p11qHEhnjNPEHYrPic5NUIMR5Zuhj/z9YXbWxspBoYERDIdnWFOZGljLlkMyoulE2w9nx9MDd0zr0ukI2eNpvN0H8o3i7oEVlexIMoHpzyTDeBF8QBJEwi5sifE1ZVVjcBTl6SAqX99PRUd+7ciTUNqMP+UzePH7W3t5fq08D+yn7CH3wCwBt2Atq8l8xMTAyPEDk9PY3jhvKEjOnFxYXW19eDRZNnIxzg4FcQIEc6nU5kpjwI1e/3r9BwfX5WV1cjeJSXjdvb24sABvs113Odp+s5gXFs8E2SzbBl1wFZSp7rZUDTs6MedJ2bm9Px8XGqTMoZY84Okkbner4sAYSPlG1GmH0mdJ696bpr+ftfXFyk2D7eFft15EZgmOQ0nZH0L0n6gX3sf3/tu/+MyMuiFi7u2Hj2CQeNrIdnNHCKyNJ4zYI0VHoOWCaajtJgoNxgeR0hdK9erxfOJxuUZ5qq1WrKaZUUEXoM58nJSVBhcbwwMESBPWLqKXc3prw3WZd6vR6AGAcYHrx3vfSsnztSRBm9MxugmdbhTlNlHMjmJUkSDpPTA8lIelZDSm92AGPGjKY6GFWenWiiR8LccQd08G8ifzjdg8Eg6gzIlnnnKj5bLBYjy+gZVbInGHmeBwoX78k44qQTTSXS7c42v0cH6FDJO/IuDpbQFc5B8g2WzCFzgIMFRZK57fV6QScmo+d0GjYAjvpgDjxCLCmaErCZor8Yd7Ks3rSD7K7TRD2zDNilSJ1xoxkKtUsEQMiucw2eEdAKiL64uIjMaKUyOhxdGtYyFAqFoAMj6Aj6B0BDH3wN4TAVCgUtLCykbII0jFBzLeYGQJEkSZwHCs3u8vJSt2/fjugs16bpkn8X+8g6BVhAsZQUDl+z2QwaOtkB1jrnaRHcYPPFPkqj5iHoh2fz0E+6uPrnzs/PdXR0FPWAvmnj0Luj4LRzFz9OxOlSrPOsUNPZaDTUaDTiM0dHR3EmIs4HwIoxc3aC2x+ei1pk7BT0XadLEaDx1u/UXKLzThtnTgCVXkIgjY5A8OwzNjovewJNzINdWYcJnc82QPOsCePm6wagmSfsD9nsJLaXrNvc3FzqrMNqtarx8fGg17qN90BenlznREqjbpMEN9AZ7D5n47Eu84R3J0CDnct+HvtIZglxR91BiuutO+DSaE049Z/7OdCkBp+9j3nhM7BkmBeCCZ1OJ56FfdXrBz1QXq1WYw3hu3hA1q/B/dmXAOUEnMkeMjd87jpwwdxSX91qtdRqtXKzTtlmKdmfM578/9atWykWR/adXMdhQpCgyHtOKMRQRnkO/J5vfetbKduNHuVRwfPGIO99+L93nWXurpOlpaUIlnpTRY5Gch/Za+ez55eSgHhZF9DZ2dmUruetV2946NnWrBAgQ7Jjh9/0uvLKiKVQKHy3UCj8Q0l/X9JfkPR/SfrVJEl+67Xv/jMiL+uM5OKK4xFUL4gm88fvvHsgwK1SqQSI8TozKd21CmfKa2Y88sih8jgF0ogi5pQeHP0kSbS3txcONyBuMBgEfYAoEQ79+Ph4KpLKIuUeTu8BZJCBGhsbC4cOcARIxlHAUABceS5+x5hD12S8s3VGGHTGm3EAFHmUG8oO95NGABfQAMhx55SGGTg/Pt6SYo6drsGGCVCGbuU0PO7vFC9q0dAh/pCpYwwnJiYCmOCQscmykUDLZCNg3gC4/j1qhi4uLlKNkgA+1B2wbtAz5sBrBk9OTsJZ4Do4bJeXl2o2mxoMBvG3R1m9MQXZYD9CAvqnb2yc40mGmecjwg+9zCmwjCVOB8dcnJ+fh+NKBo7aMoISAAwPsqA7RKaZQwAUAItAAbagWq2Gk+6bCtkz1iJC1LHf7wcd2DPbzWYznMXLy2EreRpq+PcBnYwV2UzPOM/OzoazDPhot9uanZ0NYHt0dKRmsxlrFjCMneLahUIh5tazcbSElxTt0Z2JAKBBRwH+zBlrFWpxtlYQZ7vRaAT9TxoC71u3bmlmZiZ02h3AbPc7xjOv1sejwtRROf0yK1Ai6/V6CmDhFEmjSDwAhedxp4SxxYbzM2icsDQILBFUSpIkbAdgAnBEVo7gi9NYJaUApEfAyTT6/Wl8lhWcL+6Xl1n14zfyAKCPhQf1SqVS7nEBBCGzAQBpBJp8/nluD+KQHYWNwbrOrtFXldnZ2VQrf96Vfcft8nUUNAcIlUpF3W43ssAuvJsHmCXlAr68f2ebpEiKvaZQKEQAwwMBnqF1KqQHIim/oe4fAOgBdAJXONbOmrm4GHau5MxemvuRDcQO48NwT+aVM4SxZQSxGKfrzqf09yPrODc3F0GErHgygbHc29tLBf1arVborlOHCVr4OvTngi3kwR8Xz75iM1gz+BXPnz9PzSuU/OwZulnJUqjzMobsCTfpMbK9va2ZmZkrAXyCDNCXCdgi+BYuNwVUkMePH0sa2YC893V/7f9l795CNV2z/aCPb57nrHmeVbWqq9davdPuvSPEaDQRwwYjJBEUDSYKghjMQYhgIIp4EQSDSC6UoIgXBpRojBeCRnIQ9EJCUAkGiUZiJ4Gk997du9ehq2bN86nm8fXiW7/n+79vfXPOWrWT7U53Dyiqas7vew/PM57xjP8Y/zEe5yNOk0zueOZkk/BTPlQe/eZoNPr7R6PR/1BVf7mqfmtVfaeqfkfXdf9413V/6YPv/GMk93UHmrawhsrPqaaMqBvpBFdVM/jpMJ2cnPQanwBEimWBK8bLJm3jRZMTbWQUOOZdN+mMtLy8XNvb23V8fFzr6+uNGpC0LxHQYYSYcZaREDUWqfO74blRsiAWNqdQ1DHBg2txBG2SgHTWLDLYnMSsFaqq1lWRoy76luAxIzhJDRCdQrfwvMCE6G1GLvPeruW+nNGsHzRGQCgH3Ny61t3dXTvoNrNlQIhMEecyqcV0BCClSzYrkW3OoDkcjUaNwsSxQxHK4EI2wuC8DLPd9EVTHu/GeaKvAAFd9XycCBFk9+66rm18aFxDSpjoeq4HtYAMuu9Zu7J8nM6rq6va2tpqlGM2IYMGnMGkcdJNnfbMucCGrKhrZTAgzx8jxm7oyKJDra6u1vPnz1vmgj7mdeh1tujn4GY09bPPPmtZkMzofv75521NubdsEtot+wWUZcG/IyqADbYyz9Izt0tLS/X973+/2TvPu7m52TLrdF8AJsGLd5HZTVt9fX1dm5ubPSoqG3RwcFA7Ozt1dnY2NRs1pCm+fPnyHbCXYNE6NhbTGtqgN6uLNV4HBwe9samaAFO2AN3POuu6rnZ3d5uDd3p62tZX1k6aC+uVHgMTAi6ACHspoMExS2eLjWIrPaMAoiM1hmKPzTNMhw5Tnj/o80OnLClnJBuXpLh+13W9DptVk+wMAJLBgKxxZpPQ7DK7d985ho8J+yhYtLKy0iuP6Lqu1zxtKIIK1ha7PNRRQV5BNpLvmoBG8x3Xvq97Kd/FmssuvHQjKdyul98HuIE9QU/Pm7ou2FZVjUqOeVA1OTvWmPGRHFUCGFVNjoLBDnLdZI4Mz6ZLMcaXl5f19OnTuri4qK2tralJB/ZM0N/4YHJUjc+d1jTo7Oys6SlfKscts5L27vuOZxAwze70Ak7+FhTkr9Cn4VoZyhBIDd/dvQV1+Q73CZ9ifn7+nW6/CaqzJreq3jmHlh5NC8ylPH369N41QIZssk8//XTqtWZmZnp7D90k2fTwQ+SxrqR/oqr+WlX9zqr6har63V3X/UNd1/2EPvo15D7u/zRFSqPMSHBKAICqyVlvnB0OLIVRjM+xyeighhlVkyYSgAMqY0aF/RywsXkCFlXVuqGKRvp8npHG6HNgFfQyjO67sLDQun0l9ROYzOi4Zxe1BszS6HgHRlkGBThm1NVJcohlaxiGbPYhIwRYiiimoctamKpJ0TK6iyg7eqFoZtZvmH8OUNK5RKw5RqLmQMLq6mqjco1Gk66WGQFE+1Awj2bnO8Y56V1J/TQfQLEoadZA+GzWp6HyJQ06519G7fZ20n0ws8R0y7wAnDKexn1ubtywKGlSV1dXbROykbhXOqU2AJklNVr5rMANHaIbAhvWY2bbrC2O8dHRUctS+ow5lJXK6LPotLUk4++a6dxk7RZQ5P2I55zWZTHHYRjx5+ywE4IjgEY2ZKJjn376aWMLeP67u7v66KOP2jxkbScKo78BuePj4wasqyY1IrKhAlqehf7Pzs62jnyy/jo3v337ttV80uE8cwvg9hxbW1u9cUz7TAfY2CdPnrTxBZQIZyCDXskkSBkC+qpxl7/7mpJw6jY2NnrzmxHxpFLm/X76p3+6PZ+sgkZCnqXrujo+Pu5lPIwR/Us9UdvlvgI0WT+e6x7AllkRGKIj9GR+fv7BTBpbITiZkswEz/b8+fOevnPk03G3Vw4F08S7pwiyCfol3Xl9fb3tD+rglpaWeh1xz87OplJmHxO1/nd3d/X69etWE5x22f58X6ZhCMYFHYZghh4M9TwD4RngyCNQNOMi/Av3AWrzeVz77u6uNjY2mu9RNcme2aPY+5mZmUbt9r5ZJkLnUfUFwbJcgF01hoJJSVsFKAQqzTWdN7/20vvYZck8yU6t0+YKgMpg6NzcXG/MR6NRy2DNzc21JklV/RrZoWgm5z2HknXc3mVado1e2MdkhB+SYcBiCCQFUwWgJSHuE8/IZzCW7M/Lly+ratLv476AA3v3PtTNZBhM8//ZvaoJZXuaHB0d9cZDYogMg05fVx7LGP6+qmLZdqrqPxmNRq8Hf35ywP09wuA+xj2+73scA5k1jgejLAuRNANRs9vb2179VEZeGTNKyAni5HoGUSzXprBoc13XtaMV1GyJlNk8OIbJI2cIbm/HZ6GlQ2JxOdfMd9UuchQAXo4FihygVlW9ehWAFvBixKsm9XWZWZGBdB3XBwAZoapJtEaW1DsAtcYeeGG0Tk9Pex201tbWGp2KzojMJuUls5Mcfo6ozfju7q51yvL8DODr16/bOAkeDIF23hMQMWfmMaOgNjVZ67m58SGzghGyYjbRjY2NOj8/b5TZzIhx7GWIs5lKNqSwAZycnLRgxPLyctMd3c/U+gDVwCJd4tjK0pormThjYLwFO0R+gdbMcCc9DWgc0nRFlIHtzCzKwhoLoFZUPx0CToaABJ3OjnzewVpIh3V2drYODw+ndrZUF9F1Xe+oAoGezIbL5hlDc6VR0MLCQqtjFM2em5trLfvZHE7s2tpanZ6eNqBvvXVd1wBGtmM/PT1tTunBwUGtrq72WoyzUTInnm9/f7/m5ubqxYsXDVTLcl5cXDSHylxw6q+urnoNT1DiOcwZAOBUXl5eNsYBMeZDBxtNOiWDOnSMgzYt22AN7e3t9TKyeWwDB2LYLdW7sbVo46l7Scmnf2qXk3JFr40Nqr6gDp1IFoTrs8kCChx8987Ox0NJh9r4DSl7ybox3t/5znfeofYaN3Kf04mGnLVmRBDHfqpmsqranmAvqup3mPQemfl5X1lcXKz19fV68uRJbW5u9urLUcWrpncLJ8l0sAbtCSnG0LtMk3SKcy3kfuleVROqXoKH/J4gObqzZ/B94A4Q8/sM9lq7aYv5MwnIZJkEzLBArq6uGrC/u7ur58+fN9aW4C8mCUDCBxMUvk+ngKA8S3HI/CDWRYIHAeMc529/+9tV1c9cvX79ukepHkqeKzstKJK+Q5YNmKOqSSM9vlmeh/uQDMdmuFfZTzBFstRpmmTn3/Qb+QhZNpFB8mGjnIWFhdrd3Z06HikC9dnsaihJva26/0QDbChi7yTLy8tTae7vK+9LQh1V1WZVPb3nz09kilCs+6gZ02SYWZARYWxQILKoN41iZhnVMuXGa0HLQtnMbcrukwsD2LEY0CpmZ2dbzcvwUNrkrSeAcNyEDZ7RlVUBbG0EyftPylvVJJ0OpCTIZbirJhHOrNHimHJw/d/GyMAbDwXJgBoHHYDwHrKjSVshGYkTFUb1E6FMUA90oGV6zswQM1qpEyKUHFVzzLCh73kOY+fZZeYSgAMyCaAUYRsDtZz0SIDAWVAJ5gFEgD/vhQ4oa0gPPFs2obm9va2tra0ajSZ1ZSL58/Pz9YMf/KDpv4CIzI85ubq6qo2NjR7Fhd7pjAnYbG1t9WpL375920DmkJIlSssJRo8UoGAXrGM1bdkVMsdK4Mczirwa24z20w1rGXivmgRCiIOjh1Tt169f193dXTvQNyl8Ozs79fTp014L74WFhTo6OmpNTQRR6FlV9Rzi29vbOj4+fqfZEaf6/Py8ZdroXrbhXllZafZHIxhjpAbH89E1rAJrZm9vr33m5OSkRqNRy0aKwuZcs8HD+pmqsSM2Go1roJJm+ObNmzo4OGjrMDveVU0aZAwjwNOi9ukMc2Sy8+JQ0EEzg+f/goC+z/4QusQZRLuThXzy5EkLJrJtnllDjaSWAXQAvwzeaDRq9Dt7Q4p9ij1QX2jMHmrIMtQ/waUUwCyvkzTlqskc5c8EjYbimTJQkc/DPtzc3PTOFKVnuv0KvBhbZ6Z+SI2hwKDmSysrK625lgCaANdjDi6br4Z52ETDWE0riyEJbhNss2fDawloZxY9r8dHymxeVb8RC4c8KeVra2u98+pcc3l5uQV0ZHY1ubOO+QoCyTMzM22cFxcXa29vr42Bzu5JQ819QZbtvpoy9np2drZlRFHfh5LjDvwP9TTHmF5VVQuApiQAEVBHCx8KXRZwW1lZaRlh7A7HA8lorq2t1ebm5qN+8jDBMgSTQD2/i59wn/A5BIB91nPQhevr69ra2mr3H1Kk5+fnH+wom8+bAZmhnXMt9ohfPE2GdY+Hh4e969HLD5XHgOF/XVV/6qu/7/vzpz747j8mMty0HioKtYA520ltsEHIVljE6bhQjqznS/DTdV3LKImYJ68/uxmKmnOsRVg48lXVM8BZc5BRc++gkQ3QKVWetAy1Jwlc3IPTJ1rG0cjaGDQdjrEsFZCS2SabYtI0Pcswap30PfcAkHIMUDdtEtnpjkGUMX358mXbzEQLnzx5Ujs7O+9ERzlEaKvmAVDzvIClAMLW1lbbCAEezYQ4MMYtD7jP7FPWceY8OY7ABpl1QMbHPWyYHHKZSRtSNiORLZKByho7INbcqFeVjUmq3JMnT2p1dbUH5gGPYeZBMb7MBpDJOagabwhqs5LCKjurPs1ZboeHhw3co6ECO+pDzs/PWxvrzLADKACZLJVMKr0VlDA3xpue0A/67b1TjOUQGHjGvb29XkfbqmoNRfwfKPjGN77Ra/wCCFrP2fob2HDvzJa6piw73comNufn5615z+bmZi+Y9fbt2zZ+1t7q6mq9efOmOfRo1fv7+y3ybx2yq5ywDChVTYJSGcVeWVmptbW15uwb15cvX7bnf/HiRVubJBkfKexpSp6fxZERfJgGJLNWl90zXkndpAdD2mdVtaNY6Iffn52dtWzzzMz48Ga6J9OCxTEajVo9m/fnkJk3wUnrGDi2JqomDVpkt3Xqvi/TkjRdwZ2hA6f2SfCoqtrxNCRr6UkGPlIENTOImdexxoxNtq9XXiHYhB6p6chD2ZyHRGDw29/+dqOvCwbKVALw910fyLWvswlDh55uW+e+k59L6mKC5zymwzWqqq3PpEfm/mh/ztruqsn8C1wdHh72jsW5uLhowZMMgGTW1to/Ojqqw8PDBmTZW3ONtTA/P9+Ck64BTLANWWIgAbC5uflonR07tr6+Xvv7+71mVDkW5iGzXsMgNcn9FNU5bVHqvCOY7qupU9smCCfIXjXpEJy+H5D5UEddMrRvQ+DD9+BzJsttmnhne8o3v/nN3n3oF18nAfMw4317e9uagd0n7JbnngaEz8/PW9BkuL8MJfeGtbW1tu9m07cPlceOq/h97/Png+/+Iy4mZrg5vA8XGYAD/oA5fzjdQOL8/HxraMJQyeBUTZqKZNaBw51Ax2JKjrIFB1iJPufi4HRL4wOxgI/ra4AB+HBgRYGTBuq6nCpZltnZ2ba4GCDPmQ1M8sw9kenMqHKUGHggziZiUaYzmMDauHre3AgZ3syybG5uNuDm4FvjJiIMgJu/pIkCMnQgwXjWNlZVAz8nJyetUNxGkWfqGaeqccZkc3OzgTdzIyOQXVYz20rnZAtRY+kRh8v8zs7OtgxKjq1ryyiJKnIqjBXHUpc342esUDP39/drYWGhZZXNmTo8OiNoYF3Nz883GrYsBSBChzK7MBqND3EHPtWrAZqcXmBS7ZvGMeZXhgr1FOgbGnmUSBnNzNRkMMc16TRHlkNKgPaqfgttdVtzc3P1+vXrHs1L5NiYpt6KDHPSkp725MmTZleSAYDdkPSjrNNBDbKezs/P27lrVfWOQzuk2qBMZ80ge/bs2bMGONiUnIcMDgD+5+fnLYhCZNBE040pOplnTzZD1SRjNYz0pz0h+f/Mbg2/n5+fmZmpnZ2dliWpGjvmnj3B/cnJSZsfaxPdf3l5uQWtfD7LD7Kmjj3QTMb1BBytDSwMFGT2XvaGTTcWCSjpn3M6p0nuDZk1T8n35RCrNSXWX+rUtPo69zLPwxoh6xEtNlkkGAAaPgEvxt8e+VBg+T6RUTPvWXuHAokSeV/G0HjIsqBETqNAV03qGn0nr5sdFPN97B/53FWTINHl5WXLVGWm0dmyS0tLjW5ZNZkvQIbzXzW2Pzo1V026yQok5rwsLi622vSNjY0GkIAmc+o+GejwDOmP0Vf7NoB4X8bQ558/f95A6n11bcY/m8YM9WZvb6+3Zug9Gu2rV5MKscwMsgNHR0e9IBURgOGjdF3XnsM9huwWPuG066UM1+4QKBpH9izp5tOE7dIt2jvb55zRbe9JSuzwzFRN+h4SwXA28r4aTfNycXHRO+N0+K65TrIRmrl+LPP/kHx4P9OfyKPCUfm6E+TzqAWRr4IxAAAgAElEQVQUPhWK4WHI/N9Bm/4k1TCzSRkBBy6SmnZzc9MiPhm5zWYBHNSqanQwG1A6zVdXV70olmvJ/nmfdFiT4++93R8w4bR7bmDKeyenX9Ym6YielVEHfqqqbUDGMSl53m8Y1TZHCWTznQDsjJpXTShMmZHIBj2ij/TAc9pE3UeESSTUMR6cUBuVDGVVv0g5PwtI2niMgY0OoJKFVCuxvr7euqtlptImYfyzMYkNLjN/rms+ZVr9PDcXtEPXot8yPlXVQN3i4mI77P7y8rJ+9md/tmWxROQ5kei+uQHLZBqP29vbBqbo0fX1dY8ybHNM+tWbN296He6sDQZfkECgQxSWU+de6MIJ8OkyG5LBj7m5Sc0i+eKLL5pOZBRTBmhubq45JL5nDn7xF3+xff72dnJWaVU/E+B5Xr161ebNu6Y+JX0TuLq8vGzvwYZZU67rGAV2MAMFJycnLVtrvQC21i+aqvmfRlk0RpyAzF54N8Dq7u6uOb+Li+Pz0gREhq3eZazSsTg4OGi0wpRpVFIBrmnZq8PDw6ZnSWXLRhfuu7u726NEZ81NZkTSobQurq6uan19vRcY8XOAlO6en5/3Op5WVQ9cmo8MlgDhAnoaVMlG30evzIYbwOXQAX39+nXvWavGLfWndY7NOeq6rul4/tyRQ7Ozs/WNb3yjdy92BQg9Pj7u6bL94+3bt7W1tdXLLg6z5l9X0Jvv7u7akSqCfUdHRw34TAO7Vf16UoycaRmNZFuYl6F+5nhlkMTaHX5ON0y+QlU/68ifubm5qYODg2aD0p45CiSDjinpM+Uzo4qm/mJkCXCbH0wsNhuY5R/lXma/S324j/qYrCPUegHUoSTV3rucnJz0QCS7S9KuX1xc9DKXw1o2eykZ2gNBEbqePkTV5CxY81k1nt/H9PqxrKI90V4nUHef2F/te3kkjbKAqnqnjMK9yNLSUutl8JDc3Ny0BlNV/cAGEYismpxdPk1mZ2d7e8Py8nIbPzr1d7P5zN8xGY1G/+Vo3KzmO/Gz7dFo9L+MRqO//dXfW1/9fDQajf7T0Wj03dFo9NdGo9E/8iv1nH8nBcD7OjUBDFzVpE1uOtkAQlKvODOUIbNmMgeUJLM9Wa9U1e/cpxbDPadFlzX6qKqWBZGxsHFoQGKjFwnn1HK2RDy8jwwZ8JWghLMom8pJA/5cS2t5YIHxZQQcqp2LyP0zs8qApwFUz+i5jPf19XUr5t/Y2OhlHrPuy5xmITOH/82bNw3kiuZ6Ls5DNh+iI6k3CRzy+g6m1QIdxSt58+6T4510GQbfxikbpoieftgggHsgIxvIzM/Pt7PpRMjpqbHEtZcVkjEA0OkLWingAdgBoN4l6ZZffPFFy1JljUrSMTkHqMecAOCW7nPQZaRQcm5ublrW1vwTAQbvw7GQuafXxitrbgBsc+PwdNQW9SjGg54MbdL29nbLrmZGyvsJBm1tbfWcwx/84Af1ySefVFU1QIguXDWJtAoOVY0j3plpNGZZL6s7KHtwfHzcew91h+akagxqbN5ZX4JRYA7Pz89rY2OjHdNSNWk6kZTV7LYLVFmTqSPpRKspu7297TkKbK7mSM+ePetF77P+jXjGoTOU9/PvhyhH1rQ6x3SY2W7f3dnZqZ2dnd5h2nTFu2YNkoi8YxY4Kuy7IM/t7W0LbqGaCeawQbneUi+WlsbnsbKBbNv19XVbU4IU04QTplPokMZbNTkPMs9RTIBcVT2dJlmrm04jZ3NaMxHrWrDs008/7dkDAUt7tsz106dPW0b2Q5pKqC8U1KL/AjTWm4DUNEkGUVJJh1ntdKiN9Xe/+93eZ3IcE2RoXkaMTQaugZZ0xIeB3SE9G8Uzm4fxLay75eXlRpF337TF6gYFmn2fj6GzJYYKe3l5edmCQfZ9/kSWDuzt7d0LLozjzMxMff/732+2chpV0jUEt0h+NvUyaejmPoH7sBunPSv9iuF88R3ZQuNbVa07siDXMBB1nwzX7ZAqae/wDJqW3ScCf+aQvVMHbYywhVA8lank+DxU50xub2/r5OSk2clpoM9YVU0y89NkeLTJ7e1t24sxiR7LwD4kv5IZwz9ZVf/U4Gd/uKr+Qtd1P1NVf+Gr/1dV/dNV9TNf/fkDVfXHf4We8e+oMDgPFYEOlTsnO6NbVZPugzZQEahUflkhAG9YA5R0OcaWUU2nPDvUAXWeqWrSzYuSe1dgjrFYW1trIEpBvmsyHJx47yc66LkZ0KxNykUoygVYeE9ObWZy0HO9X9JjZTDyuTL6BYTYGDlkHBg0htFoXKO2t7f3Dg98SJMCaozBzMxMa4Ofz53PgSZqvkTBEyT79+HhYXvedPI5ejKLnGkOGd1MWlRGrY1RZlRubm569RcJ3JOCqkaVAVPPA9ilPmYAAx2Qs6mG01ih/nEAZ2dn28HegglXV5NjQjghzlZDB+U8mqtcW2oeAbDz8/NaW1tr3VVlHTkEdNbzmONsGLKzs9PAiEY4/s12WFdLS0uNokbn19fXm6OW5wxyPh3+7t2SwkueP3/estbE3MrKDGt6UCp9VgAn6dqydD53fn5eKysr7UB7GQw1mrK6+/v7TRcFWJJ6yMnNejhrPul5HBCfXV1drf39/Vajlkf3mA/ZhJOTkzbGgLY1q84mxRpMRoWf6+iZNZZDyQivsRhKUvDY/ePj4zo8PJwaIU5mRtJ47+7uWsYFhcqxLmxr2nrvwv6ZX2uPvtFxASO2dmNjo51xqgkTnbEmjK85YHtyLjnEWubf3d21ZkHThM4qo0i6KzEOST0T5CRZupDjP82pzYx8ZrWqJnNMn3/pl36p3QdLxxplZzc2Nurp06e9QNfXlbu7u9rc3Gz7HD22NthUWfNpwmYJSmFBDPXUu2et2traWu+578uEZNOmqgmwzxp/1xk29pFtHB6JUjWhy8vCG3/2vGqsK+pgBUEzcyZLt7a21sZKmYXfAXqXl5d1fHzcq6Fjv1x72ARMd+1pwm86Pz+vra2tOjs7u/fzxic7IwtMkZ2dnd64ZcBwdna2F5BKnRfozY6fuWdk0II94Au6JsAmsENHHmuWMmTeTWtulEHg4fgOJVleSj88d1Jd+SoJhBMMa+b3GDBMllZVTc2QZuB4fn7+3izq0tJS75iXLKWQLf3lyK8YMOy67n+rqv3Bj/+5Gjewqa/+/p3x8z/VjeUvV9XmaDT6Rv09Kg+ldClnSkZNq/o1iYrXZRBtrEmvo8RS5ZyS5EgDQVlfhRpik5A1rKrmHBGOXmaIkg44zP4QhqrrutbOesgFx+e2IG0+wCwnRHSTYXbNzPJw5jlarodiKtpjUwFCcxF7j2wAAEihtp6dnbUOoCKXngkfnbN7eXnZKFnqDDmgNzc39ebNmzZmwBw90BVQdDIbq8iYOqMqM2D+tjHmZmB+M/JuXIyXTDRwbWwz2wX0yRpp/sEpYICT0kyfZQ2MnXnwc+PAefT8QDLHMjM9x8fHrQmJjM/s7Gx99tlnLTsgi+O5MiJqcxdpBrS1/bep6SDrbCd6yUkermNOuTk3rgAzfaPH5sIcnJ2dNSqxNWqOnIlord3d3TXAbQw9GwEsjEFKNhixpqrGDq/feafRaHz4NppgZtRsut/5zndqf3+/Nd2xljlkb9++bbWux8fHdXJy0po+5HlugmZ/82/+zfYOAhgcIuteRtr4nJ+f15dfflkXFxetfoueCEppaJLUNfdkX3V4zLGyPtFqq6q+/PLL2t3dbXqs2Qdh7xNo3tzctMBDirPHrNmqakGJaZmk169ft0xwgpTb29s2TxpYsMX0ze8FFqom4Mz9AXFZ8uvr63aYvD3BfDkSZX9/vweQ2MR8Z7oLDPhbAM1+YQxmZmba86ZknSe7M6RwZZbD9Y6OjqYCmVw3p6enbf/7/ve/335+cXHRst2ZAaiqRit3vEY2T7MWNEdxzmDXdW3e3759e+95bw/VOO3u7rZabfNmng4ODnoByPv8lcwIc6gzUEDUpAk6Vr1bA5wgIJ/71atXvX3J7wQszs7OmrOc8+16s7Oztbu7+w54ZvuUv2RWU1MU7y+zZ4+/vb2tL7/8sg4ODur4+LjRf8/Pz+v09LQuLy8b9fvs7KzZY74I/TJ+1msGnfIYq2liTtCP+ULTOoOmbcnxSyD1t/7W32r/zj1KWUJSsHMsDw8P63vf+15vjv7G3/gb7d+ff/55A2cJuPNZ9vf3e3ZmWPN+nwzr7YZjlf4B+/HQ2Yhv3rypw8PD1in/53/+56tqbHv39/dbwMze4/kPDw9rd3e3XUcTvseosNmArWpCYU85PDyszz//vL1fAviUoT2371VVa5A3jar6vvL/d43hR13XffnVv39YVdr6fLOqfhCf++yrn70jo9HoD4xGo78yGo3+yt+9x/wwyYhDyhAI3rcoRG98h+MLcLiuGpCsCRHVS7qBbFo60jamdFoZM1EtC92zZnty0R5RsIymuJ+C+oyW+WwCKRE1GUtZALQXET7PqlueDA/wCDQDRBxunwMcRK09g40ZdYTj7bmAXs0OtPi+vb1tNE2bgrFaWFhojld2j9SAwRipO6ia1GtyCjgXo9GoRSsBMNEqz8p5yoyoGhwA25EL6DHdV7Uynnt+fr4BJzo4Ozv7TrZidXW10Z3n5uYaXUxwQbF1Zno8i0hiRjVlDmW6BQwAetlK3+eUZEYaWF5dXa2XL1/2spPG8MWLF62eygHTosz016a2ubnZKJFbW1u1tbXVdN4mvb29XdfX163jHH1FQRF0EcmsmtB66QAAYt1xRGWmZmZmWpZtYWGhndVlXDReQNeuGm8eznSkj9ntlayurjZgNrRVMgjWjOd/8eJFvXjxomURUNx+9md/treZra2ttbUpiCDzm2dmCgJo2+6Mz2fPntU3v/nN9vObm5te50INAra3t3v2sKoabfrTTz9t2Vudan1Ph15Nc9iJYYRfEG51dbXZ242NjR6Y29raasd+WKvG8Pnz5+17QD3hKAzHPmvMSHa+45w9ffq0ZV+HouYXnZYd39raavVvWf8ty5uUPb8zHiL/qXNqcRcWFmpzc7OB6pxf68zB0kCj72XHw6p3j4NIx4rtl0GfmZl5B4RVvUufS4c13808WSts9XCs82c5/6nzIvnTMsP2b9m0jz76qIFXNUXsXtYabWxsNL28jzb8UAfDjz/+uAXBZE6B1yzv0FJ/mgxZQ450GtIfZflyTxM4JJkxzDkaHn9h/h1nkBTtnG96hI2RnZGrxuO+sbHR7Kb1vLOz0xs3JQ8CFubv008/reXl5Xr58mWrT0//h61ZXBwfvwCI8aHoN8aKfTftwObm5r1dNOmX8RHwm8Y8sG59pqpacJP8ul/369q/l5aWmq1y1qX/GxOytbVVT58+7dWb/9RP/VTvOQWCBddQHOl5jrn9Ia93nwwzhPf5zckoeyiLt7m5Wc+ePWvj9fHHH7f3XVlZae+1vr5eW1tbTd/so4TtfYy6yV9xnWn2an5+vp4/f15V1c4cnSZ3d3e9jrSzs7ON6srnzIzi15X3Aoaj0ejPjUajf3M0Gv2GD77TI9KNZ/lrcyS6rvvPu677TV3X/aa/C4/1y5Jp9QdV9yt0Vf/A1aTMEY4Lh4WRFA0UYeaIJ3UkOzgCClk3w7lPeogNHEBKgOV5q6qd8wcMySIBTrp/AZqeXTR7e3u7OQhzc3Pt0FOOLWeK8Xdf4Nc4uR/Qm3Rc95JtSnqbjToBDNobB9b9gRfzBFRm3YsMztu3b3v02apqLckBL+PhXWy4NimZSBuJObfRZE0U3TDPuZkDWGqzONgij0lBAajNMeqW95U91Ql3aWmpPXdGzI21bAlHF8XXfWR2AVRzYt7No3Fi/AGWnGPn/6n78Hy+5/y7bDbi7DwAZn19vQUDBELUlKBH3t3d1SeffNLWit+b96urqwbqsiMb8KjORYbUO3mXDN5kBllGyzxyvOmlpkmzs7Mt0smxt36HDoVgRVJQZC+qJgfd5++yLlVNX0ZOZZQ969LSUn3rW9/qUQMdTQNwcV4EF0RvvaeACUAP4A3phKPRqN68edOCBmwdcCTAkO8g8mvsHZwumDEzM9PO7qTXCdxubm7q6OiofYbzk1mvq6ur+vjjj3ssEPvDcE6Ojo7ecfZzL+E03NzcNDr4UNgCQTD3UEtVVb0xX1hYqJcvX77TbZLNxUaoqpbZq6p2rId9Aq0cLUsGbDQatTO32DR2js5cX1+3jrMo7GyEQCfwKlh3X22WuV1aWuoxAlIwOt6+fdtAybDeawiKqvpMoMxeYUqkrR4+D7vD/laNHTr7b1W1/XBlZaVlmezhX1dQ1gWf1P6vrq62bNXu7m5bE9OE4+saQ3YNSVuXIDLHPddq+jfDjCjn1n54dHTU9D4zYwDGsByCzbKvJ4Nibm5cz+/519fXm+3FZlAjl/WEqHrDsouqav0V1tbW2t6MaZLBU30O+EECuUOGwLR5NPbKdIYii+g9jV+OeQJza7RqnLGVQZs2V1n6k90/8/eYJ3Rc9jHt1TDbLAD4kAwbOQ3FfuhcRoGg+yTtZgZt07czPmx4VbUAYormZw+J80ll8hJckgy+DhsGpQjuTJO7u7v68ssv7+1o+j7yvhnD31FV/1FV/V+j0WhvNBr9mdFo9G+MRqN/8IPvPJZXKKJf/S23+nlVfRKf+/irn/09JQz4Y9zjlIwe+p6f+b92+6K0CRCT1mdjwc/nZFZNOg4yCug+gFsCsMxEJtCyieczZh0NYICiKCqkFXfS4Bhe4EbWLIv4Oaquh4IwrFXxPt4hBdAQ7e66rh0jkdQdQBPlCqgSBQZY0VI43jlXNlnOtvGUQR2NRo3mVtWvzXBNGSxjbm7Mt+dJhyefxXzZzABclL3Ly8vmtGadAcPO0c8scDbmETjweZmSrEmUHZqdnW2AMTn8WesFEAoQAFaODJAJNhf0io4DtbJirkG3jLO55pweHBw0nZ2fn6+Dg4NWoyDDbbxdx1wmhRrglXHgIPpdNs9wPeuBg5s1DUAjsJm1Nrm5J/h2CDwwRlC0gV7iebJREUG9Ap5zHWX988LCQmthLlpvroDUqgl4VvNGn+mkwMvR0VFtbW01+8UOmN+Li4veYevr6+u1s7PTQMbS0lJ9/PHHTVc5qxzHbDSSQS73yy63+/v7vcCZYEM6C8bkxYsXbX277k//9E/XxcVFPX36tJ4+ffpOZnbaAfWyi0PHJsEjh0sAbZqjcHFx0eqd0/7nmFj3SSnOLAK9oDucV/oqiyhYSefZAGA7M3uop7qjZodFdWYYBUTNMduQzZSyzinF/KQtGjrf2TkzQVlmzqz/XHMCiVX9YK9ukNMcRc2rBJpkJ6qqrXOA0h6AUmYu73MIHxJOeNp4oGVzc7NlMmXOp0nWE9sXE0wT97C3VlX98Ic/vBfQ5hwPazuNIX2w1xgvkuCUjaiarBfjyN8QJPnGN77RA5oCk1kzZk66rqvd3d32e1l49hoQUa4hmGR/swcnEyF9JQyghyT9oN3d3anAkI5mc66qflfPL774ov37+Pi4d2ZpdjMdfs8z5j6YdFbrJrPG9AkgyjXvOK2Li4sefXWaDNfTsI4uKecC2Q9l0bGdADD2jp7LyPEHve/u7m5PR7Gi3ucsRvWtOR7Dd0pbdl/G8PT0tBeMSqaFtXxf9vl95H0Ry5+uqldVNaqqrRrXAP7HVfVXR6PR7kNffET+fFX9nq/+/Xuq6s/Fz/+V0Vh+c1UdBeX0x0Jkh2wOGY2lpAyKn8k+ZYaQMdR4IbNSou/Jp3ffrHWyGYuk5yZjY+TkcXw5piIxACiHPUEuYwLQyZrI2okWqyHMujMGOw+L1ZUxKbCAAXDL8XYvm7zFhfpk4wYARanVFlRNsqoAh41ieXm5Njc3m8OXWVTgyLU5VFkv6LlFyvN+5pkRkwkRsbMh+VuDlKT1GrOq/jEMCYyXl5cbbUvmdEj/4jSmvnF+OVvmLTt43dzctJqGpPOKRGd9qPEFNOh3ZkLpmnVydHTUKIk2VOPLoXVPm7godDp9onh+pquk+VZzYs34HYBvkxTEMafZaEGXWNks9SbGeWNjo+7u7lrdA8eak2Pu1KyIQqu7o7fmIOXi4qJlZ3PzFVzynglcgCabG+cnnW7jZd1UTVp7DyPSoryeTcSdrTD+ee3sJHd8fNx0jC3TuZhwaq6vx+dQmZfM6HF4OKAAoXlCu6aL6dRubW21A7A5C1UTAHdyclK7u7u1t7fXcwDpWToEMtXDzX1aZ0HOxDTHyrVlAT1TZmWSeiuTneA1A4jHx8eNsuQd2E922pwA4OyutT07O9vqr+ipelRrU1Awm4HRd3ajatJw5D4WjsCBgI09MsV7pKNpPyPmJn+WLIrUZzXH06L96WB6J/NmnxX0qpoE+WT2HmvQ8ZAcHx83KimbSr+t8yHNPCXf3ViyZyneW7CrqhroJPkeed30O6omgI+9X1lZabVVaWvYf5nDYbBF8ML40rfT09Nmw2SVs6s3m7iwsNDOl/RMOp3au3I/SvaSIEGen8verK6uNmAiC/7YHHr2tL8pGZjL7H7ajiHwM+f245yrzMwKovPPqqpHaeSjsSEZPEvfSgAPXf709PReEESGuq82lPBNlQPZ/+4TtfrJYDMemc20Zvx+2NTGvx+qZ6waj1M+zzQacNqyh+oWk2UxlAzef6i8FzDsuu5f7LruZY27hP7+GncYPasxUNx+4KtNRqPRf1tV/0dV/drRaPTZaDT6V6vqP6iqf3I0Gv3tqvrtX/2/qup/qqpfqKrvVtV/UVX/+vu+0K9GeShj+NDvpmW9hpsgMMfYJ9VJloVTzHFiTGQIqyZ8dE4iahjHlJOeC29paaltppxnm3i+G8PpXDIAEfAFehPUovGJVnsfTi7DzaDKmMh+ADYJCLOeDyDwfun8VFVzUIDdBB/mxN8Mw+rqasskAkPZYZVjnl3nOFUnJye1vLzcq1MEmL2DsbXhiKKafxkizliCxTQi9EL9G2c4qYs20GnNIBh2xfPGgTE2j0kpBiAZXPOdLb1vbsbn/OS4ojgmSMp6wYyu29xkUNX82XjMqWixaG9VtedJ6mdu9Dne1g9qsixpOkQ3NzeNjgYIDimfKLdDoEb3rSt6bH7Nv3WBbuy9OdR+njW4uc4IB8L8p8i+DWtURODzAHE2xpgKUGxtbbVo6meffdYinbp+ZiY4s+fWnT+CRmzT/Px8K+CnQ5gIKysrdXBw0JrLJA3x2bNnzXE3Lre3t/Xs2bMGYMz/3d1d7zwsNDPBknQQrIvMgFZV/eAHP2jrYGtrq1Guic8NnQ06mpKOQh4kzikeSkbn0b2rxrqLapRjnvVtw2zl1dW4A246m7IzaWM0U2I/E3QAfNYZnZydnW1RbusexdGYLiwstLWQdVbZWTLnwjtVjeswDw8Pa2Zm5h0H1PscHR01GzIEYeZr6NhZL8OaI/vcUDAE1CRl4Ih+ZyA0be+Q2fF1RNab7UkQLLCFWXEflTRZSZeXl7W+vt5AVEoyKhJkDjNLJPX+6upq6lmdxv3u7m7qcRUysXTdnKYPYj0DhoLCSYnMvXl+fr7ZCfvs3t5e7/so8PYsgWz1smwXH0WgGOPi4OCg6YPA4UOSvQzURw8lx2waG2E45lmC5LP5+fQ/sY+wrfJ+VdXKLLC+BHKqJpnM3d3dXiCzalID+5AMM3LDWlj0dT4G0HefbG5u9hgC3hkDCMA+ODjoNcyq6uuy/f6+RjFE6cS0IBPZ29trQFv/iLwPOTo66o07OnzVhM3zywkivW+N4dxXmbvfVePOof9sVZmlh0nRX0nXdf9S13Xf6Lpuvuu6j7uu+xNd1+11Xffbuq77ma7rfnvXdftffbbruu4Pdl3393Vd9+u7rvtV11jm68hDE5ROLsl/Z+RiuJFm0xlZFunxjDjqHqjWA9hg3LKzKKdGNDBrEDODmI5b1STqyumxyaUz7DPqEWUEqyaHYwNVWUfHOc6MJlqe697d3bVsgAYHwCMACQQBuSJ7wEdy/LMdMzBsIQPbQJqsIufPvOL45+ZkLv0ugVjVuFOWyOHd3V2jnALFafQ5V5nN5TRnNkQtYkY2ZdeyQF4kzL9tcnRAJgToANplycwfvQJwOZw256z7kuFV95dOsjqMzMJxRL03gJVZMt89Pz9vUVqbCPBCj9V+ZLBBR6+knRmvjIjaKFAMvU/SYDkjIpIMPX3kBGdtUdJf6R5neGlpqU5PT3t1g8AiHZbhW1xcbACGrq6trb1zVtj5+XlztIeOxtbWVl1fX7cjI4hzkjge9Ew2KW2CNVs1bhZDVznF2ezF2lpaWmqb6A9/+MMGfkRvAUDPpN4GABIYUIvouhzPXBfGRndG4BA9R4AmacvsUTqnl5eXrVNhyre+9a12DiMAnOOcrAaS9eApWYfj3QVkct8gXdc1u5iOWHa8SztnrQMQfp8t2VNPPQcAKGDh+QF/76IOW6ArQWEefZTUdyKDDLywXZmJIZ6Rc6ez6jDLa/yM/30RfeAhndFkdmS2VgB0WgYhqc0JVtxDJgAAtMavrq5a/Vo6ge8r29vbbW/OYE9VNSppgtBpksBfVsUelJK1WvbD169f98BzdtDNMRW4rapeIxyMgSFwTAGosw6TvmfwXADSvZLNwCdgFwQrzs/Pa319vZ49e9Z0SECNLbW3uSa74n4XFxd1dHTU9jXzYN+ZnZ2d2mU0JYGqTsxDGSYO8u/7xo0uTAtm5PxqtnZyctLund01M0B9eHjY83/MRZ4XaOxfv359r96R4bsOgaFxtQffR+cmGhJhznnOYVOfjY2NevbsWat3tefmfd/3zEDlNFXTu5I6S9Rz5H1ybobsnCF+ODw8/BWhkh5V1V+qqv+wqn7uq3//21X1m2tMLf2JTJHhgnhIcjH7twihazE4MgU28Mwk+JnvJRWPIRIht7Eml17W0DOLdPm8lHpuZlUTOgJed4I7DivPfD0AACAASURBVAHjLHskmubfnBfPg3LkWWTs/E6Ux1igMHIe0jAbV1EbzzQ8csJ9ZFerJpmpbCZxfHzcusvJ5DnY2PMcHh72uN/qQ4ColZWVZpTN+dLSUr148aJlkpJ+kVk7/3Y/QAOA9HmZD06132djHlnkrusagEswhkYI8AhCcDplWIxrnj2VcwfMZeaVI68NuPl0v2x+xFAKNjCM7uudbRBADYcXoK2aHL5sfDc2NlqWV1e1pCsuLy+3TRsoQ8NS0wc8Gls6yolIR/7Jkye9GhXRX5E+zQUAkNycZ2Zm2nln6+vrvQzC3Nxc7wgPdoRO7u/vv9MeHFDMaDyh52kT6HJeAwg+PDxsz2N8jFlVNdC1sLDQOg0as6ypury8bEdkPH36tFFLOX4yBDq7JUh3/WQjCJpwsmXp1dLRD80IBCHm5uba+X4y68ZiZ2fnnTqnxcXFBt44W3SJDR/Wcnr2BNVo/0PnIUGB8T86Opqa7a2aZAO++OKLnh5N+2zSgoeZUEfcZMYyg4wcaOs22SqcQwE0Z3AmSyXpewIcVZOMOZvu+vabmZnJ8TbTJBtmsflD8U7qJL3bMJPlOoRdqZqcBVk1OdNzWgZXCQIbPj8/30ClZ5X1ss9am3Nzc7Wzs3NvDeBDYp+4vLxsFFiZP7TAZ8+e9cophuJdUbQB4yHQppeylFXjrHnqfNqsYfMZ97fGXTNp9X5PzFfXjTtGJovHM1dNjjR4+/Ztq63zLBkIzWAqG40xQpeSFWBPqpo04lLTne88MzPTrp11+/aO+zrCkvPz8xZY0Ok4BcOlakyH9vvl5eUekEgAenJyUi9fvuxdI7N3qfMCAQmOhmvKfqKL9rTMWNYbZ7buIRmCvOE6SHubDIX7hD2zD9Or1MGqasF5OpTMFvebm5t7lAqrvtB4TKtJTBbOycnJveyAhYWF3n6Rgnn2IcwC8r7AcLnGtNHjqvqzVfVnqurPdl33f3Zd93Arnp/I1A3iPsnU9pCqZDFy/JNeKPJ4fX1dL168aEbJZstZmmaALNKkqQJ3otuyM1XVc3JsmJ9//nmrIXFfi9PmJssHcGRErmpCzUPtTODAOLt+UgirJnVCnDCOnvvJUAGKPi+bA0Cjf7hXRgcTyIr8yszY5L0PQ3N+ft6McNbFDCNM3kP2CPWxatL1lKGTNZFVyc3LWOvcCARkNNV1ZYbVUsk2AxJAICfPPTh5gDZ9yM6orj8ajVqHwQTXHEDOnmuYV5ncXAN0hm7l/NqIOZzX19f15s2bdl31j+4N3JqP3d3dBhTQemWdTk9P6/p63L4/u8fRZ6Ava/RsHJxjwRigEcBwTIYzv4D2bMZh/pJ+arNCkzUfztBDxQOmACHZmrQrHGbBjBTjkZH1qgkoMKa5PnWPcxZcZsp/4Rd+oebm5mp/f79lZvP3mAnz8+PjXBxhopufeQYYsgMfYC+ApSMqeymzK/NibgA9gTF2y+dke2XOBMeGnTu3trZ6x5NkgG93d7dubm5aI6t0LICRPJfKGXnDswnTmcjmCNlVOEUmUcdF98r5Z9eH+83wGjMzM/X8+fN2H0EcGfvLy8sWHHMfgZ0E5mx6Pi/gk9fi6LMbKysr9XM/93M9Boa9Y5i1In7vWfNnQ0mb++bNm54jmg1iSIKBdKQ5gNOyFXTO/pO0TfuwNSNryv5++eWXPbD1dcS+pNyBvTBP9gfPOE189smTJ+28vmnOJwCCZlk1zponiMl75NgBClXjOeCssz0ZRE17BOCxQfTYfeyFq6ur7XuOchmKfZ9dmpubq29+85stoGHfrKpGE9V1NY/lEsQXrNT52vfY9WQ+PJThMgeeD1BNyUw/W2h8MvueRyXYI6vGmW/lHdNE0FFNelU/WGWdpc0GmGTcdJD2LmdnZ7W5ufnouw+PXxjW3wnYClomTXiarK2ttT0i+y1cXV31Gruwr/m9HHcgLIND04Qfxw+cRhtO3zCbKE373LCxHFEi8D7NcO591vf83D9T4/q//7eqfndV/VdV9bdHo9EXo9Hov/vgu/+YyGMtiFPSWWWUqiZRiu6rWrBcuJxJm86rV68aNS2dgWyjP8waqk/MzTaj+RzOs7Ozxm+Wmamq1jwmo6gZWcn0vOdiPDlmmdEBNDjewEBSzGRKgb7j4+PeBsdBAYjcOx2zBEHpACU4lPkwj6JHSX3yeRkJ4wBIGCMRIXRA9K6kKmoXzXnKOQEskh7ruxr5VE0CC91X9ZVHR0fNqVldXe0ViKOzyBTSQ/cBGhL8yf7ZcEUq6YG5s/HZ0AGK6+vrXufTdEgBKNklhfPAIkcx6+zMIV3ouklDIu8CuHP0E4w43+r29rbXcRawMt85hkkFzQwkWieAo8gdiHbvmZlxsxtZP1m3zHBblxwS3Vs518Nsou8LApm3XN90PeXzzz9vwDMFeE0n7Pj4uGUkM8AxGo16TTuSsm79OfNRAEYXQOOIPkZHMohBRxcXF5tz6+wp4JddQnsmAh50PSlmVZNMK31YXFxswJazx47MzY2P0xnqrcziEIC8ffu21RY+efKkDg8Pe40TzHdSUJ2HOATqwzpP9wH8h5J7xfr6epuHaZkztiP3jKrxvqFmKjPfarDYsMvLy3r69Glbs0BhZoCurq56c0wHBOtQwQTw7CVA5e/9vb+32QxrIelqQ6HnCdSHYMAeZm+p6nf5q5pQRfM+We+c2YJk0QzF2l9fX29NaryjNSBrt7y83HRiZ2endnZ2Hq1Bu0+Ojo7aXicQxRbzAdiO+5paGDc24ubmpmWSUwQzBOR8Nz+XWcZ0fo+OjnoZvMxis7NZW5vinTBZqiY0aUek0F+2PQGSMUimE9srwPT06dM2fvyChYVxR+b5+fk25xkYePLkSdsXlBtkgFYgcFogaCibm5ttH55G+/3e977X9C/1FxuH5L+T9qxJXe4P+dkvvvii53NU9deT3/FF2PaqCWDBdgG4VldX6/Xr14/SMYfHLwwDYZubm01nrKWH2HqZ+a6qnt0eAuPz8/P2ucPDw55dFiB2/uB9ouafjkwLwmVzo4dkfn6+p//D98QC+1B53+Yz/3PXdf9O13W/pap+TY1B4nFVvaiqf+GD7/4jLlm78SGStADG02ab9M6kTmUUk4OaCp/RNoCSs8WxABptJJxswtnMiKf6NxsfJzijbpx2TirHPmujhrQ84JITBtheX1+3RiUJFmQ4/e1ZRS+BGp9lvAEgtUyeldOFpgn8DLOnaiHVOaFfce6NETDASQQ8teNfW1trlJ7s+JY0WgbZ5mpsZDDMeRoYEU3XWV9f72U2hoAgefOyphzD5O5z3mxSebbZ4uJiy6wZdzRac4OOm0GQIUUpaWWeRVDAM6HncKiAatk/4yXLCWDbADVgMHaZ/ZZprhpvCjrfAX8HBwe1ubnZnt+ayZpDuoRmBCg67Dszwc7NslaNJ/qXDKmNjROi9bzxRutNJ0bdT24ko9GoPv7443ccPBHvIdVnZWWlVldXW5dDz4g6y7FUOyaKSzyvgAiQMDs7W1tbWy0aLpq7vb3d1qMaIwAMwDo6OmoRanbCnHoX6wFlLOuwZUSHgQQ2NANEarZzzqsmdVzGlN2nT2j5Q8fD2GTzApnKIT0pHTY00ywnGApqL130mWnZmwzwpO1AQ+MQcTjQIOliMkgEchYXFxst9vj4uEXzzYv70CM1v+yRejvP/Yf+0B9q6yEZAPdlODKYh0Y/BFfudXV11Z5HZpdkgxiSJRsp1sC0ui6ZUMA2m1b5vSw5m3h1dVUHBwd1e3v7aIOL+2R1dbX29/ffoZ2zqQkI76MzZqZYIJL9TqEfwFdVNdYBuY9WmpkYGcCqSa8FNarD76HuyrAOMy0CTX6uD0E2KNEFmC2bmxufcygrfnV1VT/4wQ9a0NXn6FYG8QFh9tbROnwbjVnOz88b+BTAfUi8s/KGIRvNtYj3FeAkGUTi51WN9X5IdU8BXJz5OpwHtlPnUv+ummQp+VieNwOzX0eGfrX1Iug6pPIOBSOEPvtsMptcd3V1tT766KOqmgTiCBr8Y4Au691ddyhZsrG0tNTbNxMIHh4e9p4x54DODY/z+Dryvs1n/uXRaPSfjUajv1bj8wT/cFU9HNr4ifQcg68jWR/ku4ykTVDWzQJO5eaEd9246yNAIwuTNFSKKuKe1NR0JAHOfJ6bm5tefQTH2sJMKirQgn6SWVSONHoWp5DhzUyWaL5FzTkGcjwfYOAd0B9Foo2d5/RZAEv2MrNjVdUoCpw7BlYHPfUyNgCG32eS5pbRNJmkq6urevPmTWtKw8AluJQp5HzanIxVRopsCOZXwx8GEX14fn6+1tbW6uTkpFErqiaNUBYXF1t0OClHxsw4ZpTQBkVXs12+7wHPsqn0FLDyTgAb3drY2GjPIqMHNNrsZ2dn69mzZ+18KgAUnVIwAn0jO4ZpfAHki9Du7Oz0soOymQx6bk7AHSdDtlimXf2V90zdsaY9M/2UzUkatHsvLy83hw34s45RzbN5B6FLw0zi3t5esxe5oVkvGbHl2AxpqlnvWzU5F3F9fb1lh9guGQbPxnETBUZ5FpzJIJj6WQCOvcxsDFqsDK0gFQfNegfU0wZo+iAIYcNOgH14ePgOc6BqchRMjnVu6gIguU/43BBcpMOWNnFIFSMA8MrKSi/ink5GBjBlSYaOkcxf1uGhqsnCG/ek69/djQ9bNg7ob5xGgUB6rePi6upqs9MATFU1pggwnxTmacIxFkS0HlNyLdDxoZNuv8r75HzlfmYNTsvgygJ6hyzfEOQROPP8gjvDefs6glkg+59B0ap3ndBpAoQAB/bVoUOcNgSQfahZRjr4Ms9V1fNvAA50+eH3UBedrTjM2tt3ffft27eNyZGZfQyfs7OzNj6CqsloSjufwTABwCwXyPG1r5tz/gRa62N0ymQxXF9fv5NFy8xW+hd3d/1z9nL8b25uWr2e4GPa9rQFWcZCR9PfkNnf3NxsQUGAMBlj5tn8Cpo/JMMg2VDvMiDpOe4LGFVV66zLJ0LNF0glgrGpi1nfmE2wHhIZbzZkGk10a2ur1zAr3zF1Y2Fh4R16a4oA6YfK+6ay/puq+teq6h/46jtvq+ovVtUfqarf8sF3/xGXD80YZhSP45INQ6omEdmMLGZ0n9HSrl2UI7NpHG2OLSebcyfCzdCLdnOis2vSyspKO4/H5mtxcpZkBrquaxQyTi6DyYAZA5kzjqNxBSw4IVWTJiS3t7ctOpf1ArrduSYw4/lkkIZR1apqjiNHBKhEh5qfn2/39J5LS0ut41vVBKTl+LtvUgjTmN3dTTrXOfpCVB/gWlxcbKCCk22+jfOwixYnhE6NRqM6OjpqWSbOWlJqM2NpDHRZA9AZO+ObG7PvAkRqAG5ubnrd3QBpht48Gm9AJ6lmjHdm0Pb39+vk5KRmZyfnPd3d3TVHnePpjyibzwNzItBPnjxptbSaODx58qTVb1VNQLAsNRAlgoya6XnpWm5kAg+AEz0X2ZUx5awsLS21zddmYK1mfWLWdw1pbsYzbZXD2l0z14LnUheHnqvjsM9VVS8rQicESTQ9kunmLHPiNZ1R3+lZgIqkyXtGwO7p06dtTQHPW1tbvdb9Vf3z44BOjkuyLlyb7uzt7fUyHGwS2pZ3vr29beM0rJmqmjgI6Vh4lmFQcXhOpOcfzh1RWya77vvpvGem21ymQ5KALWt1gbfZ2dnGQJAFz3s/ffq02Uj7GpCSemy8jGl2lhbwsT8kE0S2/SE5OjpqtmDokLmvwIp3TqA0jRa6sbHRxjFttuDatPkAsNmYDHpmHS2bL4j60UcftaDKh4h9NlkS6Wg66iFp1kPJemI1vQsLC+84pensZwlH6lzeO8eWo15Vvc6KqMzYCq5P7HfmjC7TRfpF5wTNsneC683MzDTmgj4Bso0afvATkuXCF+OPOTqM75G9FARf2enz8/Pa2Nh4EMhUVQsSC6APgWRSvYG8qupl4av6NYYZxGIzEximPshc001zRsz5mzdvmg8JwGTAU1dY3YWHdX3TZGgLhzRgz2Vsc21NE2vMPsIm88+ItZyN69J+0+vHavqyxMozD+X169fNbgyby6Ru2Nfz/YdyXy31+8j7Iparqvpfq+rfq6p/oqq2uvHxEn+067q/9MF3/4n05L6NRKSKg5c0LDUKDBPAICOSzUky26XRQlW1KHtSIhh8Rg04k6EQzUiHj+OWnagSyLgO8MZBkCXhKDOWVZNotb85kTbVbH7CEUaD5JwlJ9+/OdsWOWADYMsiJY0sqS3uBSDZdGyYqGtpZNC5qiZ0o8vLy1aXJfqa5+vYUO/uJueppcPvfZK6ZYPXAS83LdnWqkmNkDrGqupRIugeJ0yXM7okAAA0Mc7ejR76W20l0ClzWjXp5Ae4D0GljZ0+GfNhc5CqatnYTz75pD2PJi9+75ponoxs1vmhogCgo9GoNS/QZMRzE9e1EZvXzc3N9ruu61rQxWcB0qqJw8154VRbD8Dg0tJSG081pJkx15AEPci9cmyJBhfTnMLDw8NeFJ5dyCg0iuXW1lbvnEcZbeOLXqwuRxQdzY0+nZyctHXqnC/rzyZ9fn7eO6drmAE5ODhoeiqjxQZYx+kAcSz83nxktkoQRhOgHC/jrY6R3Nzc9Nqiz831zxy8rxZk2D22qr9H0OeFhXHr+mn7x2g0qpOTk3r16lWv3jk/m0EN9ZPpRDpvkt1O4G9dqLGyZhK0smV0mS1Nmqc1l10eOdhV1RgNmY30+YfqaWQBrJtp9M6krbrf0Dme1hwkzzYbHr8wjc6Y1xLo2dvb663Zq6txN2Kg2npV1/t12Uf5jsfHx7WwsFDr6+sNtLCFCSDuC2Tnu9ODbNhD6Jga8qqaSmMlWW+o9r2qf4g3EJQZsQxeqF3l/wzPOsSWyuDDtHouQTdBXrRz61XGERvKepZVvLm5aXvh4eFh87eSAXZxcdH2Qt9jo+6jcBJMFd+bBsqNc3amHNqHDKTkHuYcwPvk+fPnvTr2qr5ejEbjRldYBFVV3/72t6uqf76ljDMdzGzufTLU/RwrPqsAQSZR7pOVlZU6OztrjabSB8h7GZ8MIGSgne15DNjSc9d5DMydnJz06hYTeCptInmtZNR9qLwvMNzouu63dl3373dd9793XffhJyf+GAkFeCwKRICI3FA4azbEdJ6ANo4yAwNc3d3d9c6bSWCVVCxAg3PlPiJqGXlxLY6WTlFJtRT152ChZwIouWgtyAQRsjd5zcyEeFaGJpt7VFVrSsARB0zzrEX3dz9j7XkArqSjLi0tNRDLmRFJVGOTzp+MXNZJpGOWY2OcOczumxHJpLqJ7HqPpDq4JudEhhQQSmc2N0oRcHrEIdG+OY0P3UudQB1JBzsjeUdHR22zQql4+/Zto/ahe6ojy/bt9NQ739zcNCDuWYyB+6mBkzW2EemEhgpszO/u7urg4KCN07A+QYBGhoKjluDUhpJZUAEA83RyctKcmHwmEV7NnW5vbxslOrNC19fXdXJy0murrbaGvshM+gNYGbukpFkXwP9QtH/PjXhjY6PpaNXkDNRsHiHj9ebNm159Xx7Fgioqem5etre3W7AKmFZHJ7uqO6tnzxoxDgLgPwSnQEDS1owPp5B+WRPmWNMOuksyk5Fzs7y83CLo9DedIN9jz9TZqSNKyShxNr8aUvXyM3mEjbWfzROS0XBxcVE/8zM/8w6oEURi26smtkMdr7kTMLI3eQ42id3zzrm+OceCHMaLbR1S9mRp76unyQ6A9sn7jldI/Tk/P+85esN656qJM1o1bspB7A/TavXYnqqxf/Dy5ct3shrWQdUkiPXixYs6ODj4Wh3OU9CfvZfOkBsbGz0QnMHeoWTw0BoGglKS4mbchjVRaX/y/RNQ7O7utu/LkGESDK9hr0wGiJ9XVWsgU1XNjuhQbH9O1gF7VjU5Gmtvb68F2gFNzZeSIqgrrT3dHkO3VldXe8dDsfsHBwePghl7uazbkP6bPSUwcqrG2acEFujdVWP/iV7RkWFgizjzdnZ2to1/gmtJA3t/1006eromnWFP2VRBnPtkSCUd2js+JLt5n00kJycnPTYbSftUNbHPxsE+Qewdjx1XIchAN6fVVOYcLS4uvnM+KsFQIzlf1vZDZ1c+Ju/bfOZyNBq9HI1Gf2w0Gv3Fr/78sdFo9PLxb//4SkYfUzIbNPw5x9bvbH4cdQ6Q7IrPzs7ONiBHsdUXpcOqLiANpw08aZUMjKxIOlHuJ1NUNTlLq2pSfO3a6n+S5jrMuOXzMCg490n/lMWTmctMpU3D9+fn59sz54IUiRftRi2UBTLOMpJAbtaLXV9fNyCTjQbSqLoWAwAU5fWTKpjF3MBMApGqCUXT92xgSccCJBi+m5tJc4jr6/GxCxw157YlPREgAVoSJJn3rAsFRKdl0rzb3Nxcy2b6/cLCQhuT1L3Ly/FRG+hrKJSu5765+WSGUvaQYeXEy8gCCQ69np8fd5tLcI12ZT3mnNNJma2sucxsxsLC+Kw+z07/V1dXm0NiI0Ud5fzY+HWs4xwPa2as+6rqUYvULnJYrGFjnB3gzIlxJGm3Xrx40f69v79fr169ajRl61ZW0jl+7NP6+nqvjifre+mCGl1/8miNDFQAkZwKz7i9vd0o0+4lWOC+fuZ7d3fjWhjgRBYha8Q4bkDD7e1tc2CGwRJNceiX3wnksCfsEUlHLm2VAEBKtmxHNcoM8lBQBJ89e9bLGgyzPN4HPTgzcJmRl82uqjavGxsbLagl0y6AaS6VEOzv7/eCb+xD0u3sd0k9q5qcqWktCTJmXdpQcm3mvppiLnItra2t9eqIMuBDnjx5MrVDJlsx7ZnsN2yCrBFJ2yIAQQc3NjYezOY8JPaAtbW12tjYaDXUsq7mDnvhIckeADLJKanbwNV9DZeq+rTq7J6tJKSqWmDAXlfVd6KHAfWko/qstW7vANAEAMwbNpZgwsnJSZ2dnbWOygLTqL2ypnNzc82203GlC2jpmETWUwLIzOjfJ3d3dz3gNQxefvbZZ80+nZ6eNvuxt7fX+2yu/83NzR7bJmspjQsRlMsunDnu9hC+RjZ7Apx2d3d7tlAQ7bEa12HGcBgkub29bQwaevlQp1NsqaGgwOY75zvKXJP0Ix+SDI5XTc8wZt2lZoTT3vfs7OydMoa8T5aAfYi8b/OZb1fVX62qf6vGNYW/5at//9+j0ejXfPDdf5XLY+1zH5Os2UjJwuPhz4eOkIxL1bvHP+TnFTRn5goYs7Gn882JBqwyazcEolWTg1WrqmXFbm9v67PPPquqahmX0WjUzvaTpUD3SSpBLoAhNRG9jIM1Pz/fzpID6hhxDgJjllQkYICBN0aZefJMMivAuc9XTSLJ3gvnXG3maDSqZ8+etag8UKvexjMlXfbm5qbVynAc/d+GwVHi4Iswmk/jygj7jHN21L4Zy64bd+QERBhtWbcENoCi8ZHly7FNffAcGh1lFNHzm0uARhSYo2FDoX8oJgnMZmdnW5Tbe8jmZrdTQj8ETHLTszYuLy9bd8vsgCrbaAwAbY6FDdL5VAIpaqNQVTjBgK13tHGKQnNWrBVUyqoJWOC80zHg1r3pLcCNmmY+OSVDByS78xHzUDV2sDLAsbS0VN/73vfaZs5ZWl1dbc4I3VJzUjXONMrEoUItLi7W9vZ2y6ibd7rxwx/+sBfZl6VNx8gRCFdXV3VyctJocwsLC60LHmfv8vKyAfbz8/NWTyQ4xN6xnzoIm/thtpbs7Ow0CvEwgsyWJDuA2MCBsTw+Yeikp25zLFA6p0XH6aF2/Vn/N7ymtTQ7O9tzQtBDhwDs8PCw1fTI0FZNQIh3RAFdXFxsY0QPrQdBADrKPqJu29PUJrPfbOp9dXEZEBWgGmZDjTGmgDGd1jwm5ezsbOrRADK+0zICCQxk6IGXBGiCc/ZTgZ7HOh/eJ9fX120eMvOnw657sivTJHUxg5tDSR3lsK6urvbOu7uv9iuz5E+ePGlnoiql8IxV/YxR1rCmH+CZOcvstUDb8AgQdkANuT1ra2urx1SiS+p3XcM+lwHhzGAOSwIE/jBmhkBvKPZDfsxwzQtseRf/zuCccSZHR0fNVqV/QvJ7mYmit2kT2Mqbm3ebsdAVQecMtp6dnfWy7tNkGBQZruMMVC8sLNTBwcGD4KjrutrY2HgniJM02apqzfqSnpxATKBy2AhoKDc3N61m3jgMhb/surlOhnXpD9VP8nk/VN43/PRHq+pZVd1V1f/z1Z+7r372Rz/47r/K5eucPzhNhvTL9xULiDFL57xqwr1Xf2OB5HECol6ZCeLM5+9QGvw/QV9mp4BVm7rfiWBzNrOhSNbBWWxZ91c1oUACDElv9XuOtE1dhtOiR2tlZDLz4F1kLr0fp1GdhHcCrFFPMzOXtKXLy8tW98FZ9BkUM8AxI2FJNz06OmrOHye4qlqzhtzEM2PJOfK8omOoewcHBz2KrExe1dgYilIDHiLTAEfOe3b5lMUEOquqZYY5Z8fHx22ubYIyjNZD1soAzuoXM2jifsA6J192em5urndYLmNIH7Kxhc1OkIFxFjWX9djf32/P4N7WFN6+7Mfs7Gw7BoVTsrCw0Oo06B3Agy7p2V0fgEPPyYyL+lPrQ3dBwQHPKgPGWRFUmJ8fd1dMGuDp6WlvU3316lUDyUOxrrpu0mGPXmXrfMEFWR26QT/SWbHxsT8yiyl0CrBBN3INzpQNWpReFn9jY6PVnonEo0YvLy83uvbV1VUdHh42aiw9NjdAl/m4uLho2blhMxDNaG5vb1sDErrM3mUQgWTGgsgeD+tu0oEx9xybYebGZ9QtZ4Y1HR//Fvg4OzvrBUUdNSCIkXNZVe2IlNy3POvc3FwdHh72gI3sMEAiuJZZJUe2APzmg85n5r3q/gZv9BxboerdM792d3fbe+a+k80tAIxhZH6aI//ixYt36HhE7XvVu85blh4sLS01tt13TQAAIABJREFUHWWrZYo+RLa2turw8LD29vZaJjxrKoFVa32a5Lrd399vdmRIWaP3ea2Dg4Nehi9BwzA7RecPDw/f6WydOpzjK2As2OT6GdwF4tDdzV9ex54rWCFgubCw0NaBfSQ7NfucusJcj+wqW5/7o31gaBMekl/6pV+aWhJgTIx51srl+qzqJz0E66qqlR7l73N+t7e3a2trqweOHJtTNQkQej720zNUVa+2PsuMHmveMlxPQ72zH6QePFT3p4xh2NF5OA/z8/PNP6kaMxcy6Af4P0aFlWE1DtOAoWZ3JO+Ttp8vQFIP2PzHMrAPyftamd9WVRdV9Ru6rvuNXdf9xqr6h2vcnfS3f/Ddf8TFQnwsCpQi8lU1OQcsaxUpPmB4cnLSwBgaX9bPiGagBcqqoC5QsLdv37bMRWb0gBhGTWQYZVOURPoeqAKoMvPEuZL54YQBS5yPzPzku6ZxY6CrJg6S+3r+BHEaDwB+6bygAqhbytpK88dR5dgwaoCgDA9n3ubumaomkaesneLQM6iibbIOCe59ZzQaNZCrrsz3dYyVWaRD6+vrDeQsLS3V/v5+y0aKHCdgx4cXeADq8hw+Bh4Amp2dre3t7V7mILPE5jqzn1XVmiEZKwEAGwUdlPFIUJMNh3zPda0jgMkaoudPnjyp4+PjWlxcrL29vRbB9735+fna2dnpgVpHWgAtVeONQmAg1ypnSzReVJjOcixkXDgT19fjs7ru7u5anaLNimOhzkUtk0BH6pP15hnUgi0tLfWim9vb2+3Zh91r0VCz4H5/f7931EbV5Pwr9qaqGkjLyKZshDUhmOT92DDvgWqqjg5VMQGh6xm7quo1fhBwYM92d3fb8RrWNRt4dXXVO2N0bW2tXr161dZj2op0UqvGzvfCwkKj62UNHpAhyJBCz42vcad/KekMZHCNng+FTnGGE1xPu45sXYKn7PZsHjwvvRKMYPdXVlYaGAOk2Skg3Zytr683W0Hf6LlrCBbKRMiCClYOmymRDFLYP4cOGf3MwEgeru77Vf0sBRuSv/ddAHso9lfAJDOtbIo9UAYTIE+a9NcVYEvmsGrScMrc2PPuozNac5ubm7W6ulrf/OY321yn0NlhsOm+1vvpiFuzns+zJDMmmUb5bBziHHd0YOvZHllVjSJK142FvbxqrD/b29t1cXHRHH9HfpjDqvEaXlpaakES2cmNjY3a3d1t/hL/xH7gPYa9HO6Tq6ur+uSTT9p+OjxUfX9/vz1TZsuG2f7PP/+8/TvpwJINOSdD0AT4us+nn37afi8ASVdXVlaa7fM86N9Vk5IN55s+JPdlIIkAqvHHnLlPzMOQ8j1M5PBDga/t7e2eLvMPHgP2rsveT2MkqGl33cyyD4FzZn1zDRqX/O7XlfcFhltV9Qtd1/11P+i67jtV9YtV9XDF5Y+xDDfu9xEGpKpP2ayapJltjgAhJ82mksDId7JwGxjImpasFULj4Ziq65MN4ZSqyakaG2CgEMBCjwTy0CA4ru6XdXAAah7KTTLLlxnKqknXMc6FhiZJ+/AM+R3AmzFBF83n4xR5blFfzqvsJOda8wCAkTO3uLjYA2CAYkYQHf+gmUg69wmcOEtZQC37B4ioicK9166dIfZMrnlzMz4LanV1tVEskv4o82JzRSnkLNlQAUDAAR2qarwJOboBCDfOzmZSF+Wdqqo1HRnWoibNlAEHgGXbZPo8h1qdg4ODBjSTBkiHLi4u6vDwsK1fgJ2zDVyoYZQRsT44gQIA9MJ6llmk0wl6bFioetlEqmocIdT9zfXSwZNdpV/mHKDJTeb169fNQUpAQMfoIIcrO0+aV/VZ+/v7bc7YsjzHTzY61/Xl5WX9/M//fAtWzczMtLMnrTPzaE5tfq9evWq20bjf3Ny0qHbST2WmZc8yQ81JtsFiGKC1ynDJ1AM3QwohG5JUKsCM83p1ddUDfBwO0W2OxsXFxYP0JHPI1kwDDXRLNnzaXsQxApQ5ufl8ANiwqQFb5Ge5T/g/yi891ViGbrGjnte8CNIAmSLzSTX1s/sc6gQJdG4YqLWusoHZ0FnMutW8nnfK9UTHp2Xg7RdZd5r3As4xTqxhFOv7KLOPCfsNUANA9oyqaqB9SNEbStbrOromJSmB3k1WmKRTnE7tsBmM79hLUc+r+sDAniq4J9OSGXeAW4BocXGx2YKqagFsGTPshrdvx+dqvnr1qnZ2dlodG3uTtW3z8+PuuW/fvq29vb26uhoftQMkuzdKYZbaeKaHhP2mJ0MwlXXV3tnfaXO/9a1vtX/fB/zIsOGSerphVtY8VY3n9/DwsI6Ojho49ywZ2OO3sq0PyWPA0Wf4HlkzPE0y2JfvMFwD5pPNdm3CPj2W8eSP0elpoDXX4+zsbC9jmHb35uam15gm16B188sphXtfxPJlVf3a0Wj0u/xgNBr981X1a6vqhx989x9xSS7/15GkjrpGZl5EWdTUyIABklXVA4wMksyEzVq2JTN6NiFAjcHijHH0RYhtjA5lz86UIng2IFRW7wS0uL4NVW1gglTOv6wliiMQiXbrbxtz0gEB3WHjB5k1NLE01pmpzGypKG6CcZu4RSljyCAeHR3V2tpaa8md59nZjPzNAbOBGw/0tqpqn/W+6tNGo1ErKAfW0hhrvAL4ie7JPmVDlapJVjXBsblN+imd5zB5/2xLr/U3gOr9R6NRA51AdmaHAUB/subV99URCSo4cDwpSDKGMqsyjICczUSWdGtrq91HVhQwkplFB5bRpF8rKyt1fHzcNmvvkHQlzhh6czbxAYJWVlba74CX1dXV3lmd+X7ut7Gx0evcmE540uTVtnqO/HnaIo7A6elpq1v0s67ranNzs9bW1lq9pgL5rPt88+ZNo33Ozs62zPQnn3zSAOyTJ0/qxYsXLUt0cHDQaGtnZ2ftXWZmZuqTTz5pz0ePsSf29vZ6c4emJgtlTmRJRIXZwqwFo5/z8+NucD6TDoV3p7vW0M7OTvs8J0nNpTVTNWnIIaswNzfXazZT1aeAcgymZbwIvVhcXKxnz55NzSbIhGBuVL1bRoHWaL17zlzD9pZ06NHUBVAELexZSSmVjeQAAZxnZ2ftedh11L1kUUwTDpPnZrNS6KY5ruofteA9qvogJn+fTpu5vo/am3Yms47uyyYlc8YafyyjdJ9cXFz06rHZeIFAlH6MmGni3bMWVbY3RVMkwKmqWmCE5DsnDQ7or6r67ne/2wtYz87ONjpnVV+HAT7PNqSboqxrnsR+VPWPEUh/Ca3v/Py8lR+gTSbQ84yYB1VVH330UTsHlh1AfxaAoPvr6+sNpDw2vzJy5i3BQVU/+5fAeWirkv55dnbWsnrW0jDbmONcNabNG7d8hvRFV1dXe+dSsm+Ov/Fc9DspyNNkGKxJHRJ4MN5Dpso0sf8PO/Fm47Cqah3EZegyqeId9JN4SLCeMmg27ZnY+DzKpqoP0JeW+mcRDzO8zi//UHlfYPg/VtVcVf3p0Wh0MRqNLqrqv//q+3/ug+/+Iy4ZrfkQmZuba5spZxzNB61Chio3ZA4PRQReOHGcouvr63YeF2cmN8+s7QEek96ZvHgOtGdLqhCFlmHKyJnnZ8wY64z2MOrZ2TDpYZqZiLjlhjR00hi+pJ/KbImKGy+fz6Y0vpPgNjca1+B8J+V1e3u7OQIcMM74aDQ+GFvxOCfF4k66AmcB8DJWjC0Knuu7jo3LOxF1pknh4aBw+gAD9aYpQI4MtnEQDZ+bm2t1lJymBNaonTb2HEO6Ns3IuQ6QAdwx+IIe6XgAruYma1iAEvqpjjQpQOaV3qBjO8NOtmhxcbG9m43D+2iwYY263pDeB3jZqKyrbEBEHCwvC911XWuCQXfM09HRUW/TZFMc1UEEBIwFnaXzSe1Rq7e4ODlkGnDOBj4aBwGoGfiwXjlOxvrb3/52zc/Pt46WamTzEPGzs7N2sLysXmZ02LJ0DC8vL3sNn5wfR5/YFfrx+vXrxkbQgTTnQBe5+fn5Wl1d7WViZEg+//zzRjsm1mJmzQQehvSkdML8WwBhGpXp+Pi4tZi/uLiYSmPiqHCmBLmIDOLt7W2v7o6DlMwJDiWbbw5QTq1X6yf1eXl5udUMs2sJ9q0HFLWqSXOpITjJZ/S3IMswUm/cMwOjGdJQhk21kgKd16MjQ7EO0/7Kas3NzfX2GvvAkydPml16LJt3n6yvr9fMzExbk/ZLGUS0OzTJaZJ7UTIRhpJZ+Jcvx43rh1mZtHVDh9q4p6513fjsVyURVX1ab579mwDLZ7AN2Gf7Xc6n8R3O++LiYht/Nk8Qnk3OPZm/Yu+ge3Nzc42B4H5VfSbKY2f5scVdN+7w+9FHH73ze8wDgWXjN6xnJUtLS4154f/5HAlIHEzvvar6QA6ThB5lBsxz8SfY2WHG7T6G3fDn+YxZa8xnxthJST9CJnhtbW2qP0T4dnRlSPk1Fo/1JBE8AzCnZUAzwLS+vt5jPAzt+7TMcFW1cojHah4ffNb3/Ny/W1V/vapGVbX41Z/RVz/7Ix989x9xyWjVh0gaXhkMjro/HHBR7Vy0vpMNWBgwxkonLNcFnHyPU+76NnXGLR0c1Ivk8gMs6aAzChxSdM+so3Mfi1A2kQGwSNVqeeYsJvY8npHDniC7arxZLy8vN/osg5a0BNFym47MFAOBApeZBsbJBsfgeObFxcXWrAOAlmkFiDLCDGSZ43ymqgmFSdObm5ub3saXv6MDgCYHXjYxsyl0LeliMohVk+YXNgHBBBvmUEc5eYBdAiPvRJeNNfAo22Yc6ADDyIGQEX/x4kUDre6veU2CYRmL7GA5PG8pN0OgGY0IiPA5ZxVmZjCDGTIo1p0OjDLNNhrriX6goibARJ8Cijm+CwsLrcGR78gQp16gzqCnE8/HkbRednZ26u7urlfD4MDsBKwZuGEDM1iFleB5AXrBlLu7u9re3m4NZETLRYazuP758+dN38zLwsJCC2Zkh2R2i3Ob1E1gbG5urp09CDhubm42tobxTWdL9hgVmhwfH7fjNNDXpjnUNnoOxvr6+jtU0mkNUdJWDkU2m0OaZ7mRrEmRCcn6lXSI9vb2mhOF9r+0tNQ6AN7e3rajX8wFnbKW6XWCxiGlNBkAggHWwLAW/iGwlI6xYMvQwUogQ3JfYxer+s5YrpWhU2i9DcX7GX91v1WTYyCcOcimqZf90I6kVdU6GNPp9fX1XlaUHUomxlASeFmj046r8G78Bz9Lnct75HtZZ76T6zV9oaEYH89lTIENja5ub28bA8M+krVvAtVDxx+tn17SiaTIHxwctFpWNEDPnY35po2B/eGxGtIs/Zifn38nY5jHn/DXqsZ6lvdOIHF7e9uopfbEXP+p2/a1ZMak2GvPz8+bb+OdkjlVNfEbNJTLc4unybCZyjDAY04zgTLUzXxm+v7FF1/07LE9Jv+voZn/DwOCWEgPSfaUqJpeEz6kisu+V/Uz6wkg84gX1xUA/lB533MMD6rqN1XV76+qP/7Vn99fVf9o13WHD333x1nSqH0dSaUc0vIyU5e0PtGXdMTVX3BM8bgZusxEiELlZmbTkDWo6m9sWR+BFsogAyBJ/1MAnWdYZdTJe9jEAR3gR7F4AgQOnfFJxyydcVQ941RVzSGRrUqgmKA6o4+uB0ymg6L5BoOMumqMvAswlE6xDbTrutrd3e2B86HDbV7VhSVAEXHPZgUi4cCSOkDHPdgcjUHSQbKhiffPTJqsjTGzMYjsoo3JpmRQgI7K0gCbWU+oXik3fZ/zzPPz8y34APy758XFRTuziz7n52yW/lZbiYaqgYr1bP14fmuNcy5qnLUrVdUySf6Yb/p8enpap6en7cy8DN5ks55nz541x0QdkuwWipFn9CzWk39XVe+MNvW4FxcX75zFRFdkOKuqd8hzCvouSdq39727u+tF0oEVTluuJ46EbGR+hyPIHqGIn56eNruhuZD14fmtLQI46f7omJHNzc13AlpXV1eNWj6NcqTWCOOiamzDT09PG8VZMwqSLImqanYkm/uQBCMcaDowjTolEPb27dveWbNZ45jOLd1JBzUzp6i07s9ea9J0enra7JLMkntYywJj9FFmjL5kRsEcA4TOncsg1fvUHtkHOYwp6WC6ljVnfI37kF7q5wkqBdGmPVeWDggUZGMYpRH7+/sto41iL+P0IcIer62t1draWqNDJ7OHI3mfg5v0TJ/n7KYYo6w1TZqya5AhjY8NkTE2NgKKnnNoa9Qn5vr2bK6j82tVn9ZbNbELAqgy1elbHB8f96jb9oKbm5t2tIbn9V72TZlu+xeqvZr+9+mCzy9aX1/v2fCUHE/rb5gdHYIS9P9hcLCqrw/8rgwU5ucFQ/keCWbMwfb2dhsTQXxMsuH9UobZv2GAIH046/eh9ZIsuLQJGXT2OTWT3tF9cg09ZofOzs56oHcawwNrperdJjg5Lo4kq+oHC6smdbofyi6oev+MYXVdd9l13Z/suu4PfvXnT3bjg+9//Qff/Udcsj7nPpk2eYAH4MVpy+xN1STSLxsoCi7TInKVWSHGz2bn/+6pfkNGLOmsWU/CEaGch4eHzeja9JaWlloNXDobnp8R14RDRsBz5rjJGBhPzyILypEXzXQv776xsdEAGaqsTAqqKSqg1tQoaYB1Up/cF+DFbfeeCW7NMQppgrmqCb3IuKGGGt/z8/O20XRd1zsLrqpapiPB4NHRURuDpOua467rWrc19RPeMaOonDhjlHRRUe2kSQJwWZ9VNTbqmt/c3t62hiScncwIClC4zvLyci/rKIN9dnbWNlmOJz2dmZmp58+ft/vRy8xm3d6OD1BG3/IMxlK7fIBJ3ZtNzPxm7Y5spSwo3VE7I1AAyA3BnU3HerSBimZzGDMjbd6SDmbe6FLq2u3tbc8J2d3dbeM03NyMgzrfqknWL2vWOAdojVUT+t7NzaT9edeN25I7k4wN0wlvNBq1Rirom9vb2+9E+JMdkXY0M/157AIAgha2vb3dy7glVYiTKbNiHM2XzqvDZiDJFsggmTNOgUVnKBJjaNyyydLQGcr54cxxvqYFINl4QJBNyK6EHF12E70whS1SN1TVP75AN8j5+cl5XkmNZCMWFhZa5jXp6tYVm2D+jXk2mdnY2KjNzc1eE5T7OmkOgVx2Hc4xqpqwPqqq2f+h5Pinrud8CppOy/6oo/Rszs+tmqw1YARoNO5XV1ePHqJ9n2RXWrYK4BFASabNNLHG0CJ1+hyOPduSTjndIOkgZxYn2UgOpHfNDGBUvavvV1dXza/JEgF/z8/P1/Pnz98JBuZnBCPZ7/Pz894cs1+o7HwsbBP1/ACWo7DYCtkpPpX6RXvYY0kEIMTeNQQFQKNxTZp66mMGkRYXF+vjjz+uqmpntKZfmpRNAfe8RgIWHa7tp9kg0LzqdYGls7KyUvv7+023h0dwkLRJScnNsRFEx3p4aDy3t7dbdj7HZliHbL/2fBoD+qw9/jHq5traWm9tDY/bqBqvU9ceBvq+//3vt3/T1fw/2d/fb43pPlTe94D7rdFoNDv42T82Go3+fI0Pvv+JTJGkxdwn94HGIeK3sDlIVZOzy9ASOSOi48CEDYwhTwc+s2EyFxZTtmXOaBoggwJXNTbi2QLed2SU0MQY0aoJdSybyQDA3lnGLDtkMjwAhD9AjQynsQX+OG0AJUeDsVV3AxzKXDDE6Jw5HjYSHfI44pyDdF69nywdIJKOmUxYHnrO+ANOireH44DfX1WtAyUjKStkU0rwyXkztsB8OmRVk2i3TTbBAONI1xRZA2De13vIKMjgymrSBTpp/aBeZsYXQM1ut3Tx7u6uXr161TZmoADYur6+bm32RfjRLzyHAm+b25s3b2pzc7NXx5o1dHt7e60mMMcq6ZGpo/RK9ku2CgjWTRUt28/plGt5lrW1tZZd5YzboNFmZE+Hhex0Mp25vb29ur6+rqdPnzZ6kHm5vb3tdWytqtaJL+2defMz6wS4PTs7aw4C0Cozy+GX9QMchkEMa1zGyaHdntM7er+Li4s6OjpqASm2kD7lGk66HRokm6CWkLx48aJl+ubm5trGr4ZuYWGh1REPHTPjV1XNoWRPUhLQyxhkEHAoMq+Xl5e1vr7egGzOP8dvNBq19ZIODECRte2+d3Nz0+rX3H9nZ6etf/NsDWh6ksyEvNcwC8F5Zm8uLy/r5OSkNTNBG7wvM+CZ2BSslZSszTY+ef4aZkXOkfHK81wJGzrNMVtYWKg3b940ncpmK9a6zC67l11np7W4fx8Bxr2vZh/KIXRnFlCZJsbGGl1eXm4Hvw/fsaqfdeWHkNTV4ZEsxuN73/teWydbW1vN30n/h9jrNH9yX2sL0H/9+nWvaVOyllA+AQHBEEAPfRTQy6OTUvfn5+dbp2d7a9UkG8e+2WOrqrGHHssI6xLPtxuueRTWqkngqOrdrqQpWVvLN0j7lPcwLkpVPDvBgBmNRi1g7r70Qq8F++Dbt29ra2ur2aH7AhMJBId2o2oSKNCIKMuIyLDGMK9H+Ar5/l33/7H3JjGS5de533cj58gYMiKnysyaemSTEkGJfBJEgubzw5MNGIb8tNRCgABBfBtvJEIQvBcMGIZkSFsDFvDgtSDKoAHhGW8hyjAgQQZFmhS7ye7q6ppyiMiYcorMiIzrRfTvxHdvRlQViyRE032AQlVlRtzhP5xzvnO+c/5pNAzDZkmTQ+iHw2Gmodg0OTk5uZH1ywtBb67t8uabb8a/CYJICluBQGueNY4vI88FhkmS3E+S5DuSmpKOkiT5b5Ik2UiS5K8l/V+S/muNaw0/kSniTsuPKjg6OP8YUafYYBjPz8/j514PR0YDwIDy9CyEg1eiXXQzJZPB58hWAubyxc3UFErjjYYTw73IHgAg8/TN5eXxeXvQFHhmlCmZI4wuyg4HDeooGRIim3QWc+cFGoNTI/LnO+HUk80B8PpxFd70h/nguRyAM6dcw6mzPI+kcN7zDjcRda7nmTIH/BgMopDQuVCIGD2exzPQAFeeCfDJWHhGEyeGNQlAc6eYtcbncCw804yDyHVxoh2sopihhZLJZRyJ6uJkEUzIt8XGUXUQISlqBD0D0uv11O/3o6kMYJEaC5xCAB/jyrxC9YVaQxCBZiesSxwErw8le8Ye5N28+QEAiEJz3g+AR8SUe5Mp4318ffHc3AvhWTnjkfHiDEw3ctyTQAXC3mXN4XRQL0k2kTlmX7MfqtVq0LfIxhYK48OLyR6zpggQkMnmGqwTB+nMJ41ZRqNRdOpjD9IkxgNhri+dUiQpDg6vVCrR3ZT7t1qtCIQ5tZb1xjVZj3Sd9e6BzDtCZJ1xm1abw76juyff99oVwC1OHPvL1wdz3Ol0Yg0SkaeuCqeS66Cv0aE4gPm6Z2msB7rdbqamlkwkwTz2CMEzgkTYw2kCkHJ6Vd5h4hm63W5E/aF08m/ExwXn08eIcQQ85IWaT+xao9HI+AfUxQIGpYlt/XHoYdDj5+fnVS6XI2tDYAS6nO+bvDBuZHSfPn16o55WmownGUm+44DTQaLX0aLH+I7X/6Xp+Mga7LSPOYFQGAgETZhD1jUZUt7Zy2RcJ7GGnRrNZ9EdAAEo4tKk3IA9mSRJ5ugvb35FoAkw577CLCmXyzo+Po5gYZ4W3Wq1Ys1zX57LdZX/22sqsfmeJfR79Pt91ev1TB2yXwv/g8w3vqg0yfgdHh5m7AQ+k2fOp4nbG68/9Wfz8gsPyiP5Trb4Um6zhsNhZq1iB+kQnc/Scu9Z1F7EEzbSdIbHyspKUKXz1OL82ZMA/5OTkwzIxNd4VXaB9OKM4f8o6Rc1Bn81Sf+LpL+U9Bsf/2zw8c8+kSniztDLSr4g2WmlOOZcmwyDH5qN8cDhdyOb554DGtmkeVogSpUN7llFMixsdiJyc3OTLlNQczw6jAOKQT87O8vUEVArRAaIzpWePQK8ADiIIlMjhEHh3n4PsggoeYwj4wy9FMfcnXqob3xfGm92DA1jhPMFMPWoojvYfIYo9vX1tdbW1sLQ+vt5wwbuDfjGUQIMA6h4PwA243JycpKpE8AwkO0ikAAAooYCOqZn7TA+KDyybzjURPT9GXFWFxYWoksl88qapbYNygkGH+fFKcs4/DgHXL9UKsWBv3Nzc+EcAhoxINDZWDM0CAFkYRg5HmI4HAZtCMomTU68KU+tVotaKjJS0qT7HWuVYAyOLw4/8+xZEeZ1YWFBq6urAVBwOHAAEqNo4wSxDx1gcn2oe24geR6nfKMPHEhJkwPEOU5Cmpx5lSRJGDGcGsYZShXOoXfIlKTHjx/HmYTlcjmcNs7v5D2oUyTARVMDwBg1UawPd1pZX9KksUC/3496U49sEyRaXFy8EcBZWVnRwcFBACsH8cx3kiRqt9uZLAnvms+U+1EpiNOVPBI/GAymnouFjmfekWmghbHlnE+k3W5HsJBMoDQ5dJzrut4DGFH/i/45Pz+PgA26gDGtVquxD6B9+17HHjDHPIN08/BnhOwJtjFN0xsOHGt+YWFBjUZDUpbORsBMylJTnXLnn/fygbx4ELFYLGp9fT0DpBgXdMb19XWUBTjd7keV4XCoN954I+avXC6HLiH4V6vVbvgJLswvIGtraytspouPOd8h24x4dsWBh69jbC7jtrKyEoE5KQsg8ElYp6wPD4C4nfH54R4AcM8OYwPQ0x7EhP0Au8fLbbyWfDQahX4eDofBwJAUdgn2yjT6cX4OaHSCDsz/nmtA2efd/J39e4uLizFOPKPPqY8zQXZpEijwwECtVgsdwvghn/rUpyQpmEheZ8t9pekHv+ef2Y8t8WebpuumCeUR+HYOGPM11mTVuSbgWJroxlnNeFywA07JnvYZssj598sHYpmXpaXJecL8f1o5wI8iLwKG/5mkVNL/+vGfdUlflnQp6X+S9Fqapv/+le/+cy7ecOFlJb9YPJpIBMTrbTDAgDmiHziIGEOJy++6AAAgAElEQVSnVuKAs4m84xbOYd5xYhOTVSR6x2fcaBB1c5DCc7CBAA8AIQCXNEmn4wxIk9oh/uCgc/Yfjqsrf6JH3rXUqYv8cYcZcLW0tBSOcZ7ehMFC4VN3wDWgUxA182gi6yFJkgCzKHscWCg+OAY40V7jBYUQY0QNR76JEFFIxoD14WPijheOGtk5aEYYO+iNnsnyDDPP5dkj3oF1xXohCixNnKl8rZFTeAGTnjHEqWSd8FmCFtSD8Y4Ad0AE9+XaXH8wGAQ4xIEqFouqVqsBpHlHAD/Gjqw4+5fsqe9jnBPAKaAPAJ2mabwH69U7n7KncETIsBN5dT0C2IECSfTadQ5z4Z3fuD71NBi+RqOhpaWlTKt0shB5wClNsiSSYv2QBSRqvrS0lKmvYG9wTlqn04lgFgbTo/04txhPr9GSFN2K+S5jPRqNInjg5yvOz89H50acO/StN5jxiHSj0dDW1lbUXTltk7Gs1+uq1WqZaLBnNRjLNB0fcZE/x9A7wToF8vLy8kYHU8bIARzP5E6H12z5HCMEXPJBLe7N3gIwUhNNDTN7A2owe2JpaSmy46wXgiuMN8EN5gyWBYAdXTVLeF/PJORrmFx3vPvuu5IUdcbSpCmMf5bn8eYeCMHW51H3GCvfL9Cc0cvY2bfeekuFQiFTV/mjSqlUUqPRCF0AHRF2C/OH3p0m+Xpa9FYeBPOMzkjK1235ODoIcQougVVpnKVJ0zSCB34faTy/1Wo1aL+saUAGAAy2ilMdPTuEL0RAjfVNYMHpk05rpwSCsWQc+T6diRcWFiJzy7txnzzImyYAvHyWCOl0OpnxJyCHbUbcHp2dncU4AfrzmTaEhjKcz8t3EOwoPpCP7bNnzyRNagGxq/gLTjuedW9//jwTj+y1+3izMrD4t+wzX9tra2sZUMVeRm94cKxcLsd+f1HQBh+c67gu93vx/vlssANwQKakCJoix8fHGarpq8iLgOGGpB+mafo7aZr+jqQffvzzf5em6R+mabr/ync2SZLkYZIk/0+SJP+UJMk/fvyzepIk/0eSJD/8+O/n52l/BsUV3MuKKwc2EN+HhkXUAeOJIsNQ4QjMzc1lar6cQsV1KBD26+AAeU2gU4yI1I9Goxu0RBqLeM0XUWPGgiwNm9v/5p4oGO7rVEQMRqFQUK/Xi6MmuBe/zwNl6nyoi3G6ExlSp+9QTyRNzufBOYXKwCYHCJPVg2oIcHLx5gQAObK/ZIZxeBgXzxwT5QKcS5Pug8ync99p1Q1IgzZJzQRziPPIWPX7/TgHzZ8JBefjhsPHGvXsE0bWQRsOUL6LJoaaOgH+4Mxg2AFJTn0lQolj6dRW1hjvzXNB9SRb7VHhZrOZCTSQUZybmwtar2fdyUQmSaK1tbWgEwJwcYhR3GQRAba9Xi/WKLWAvDtjx3izTnDa2U84094gif3p0W83vjgJzgCQFJnl6+vJEQTS2Bhy4LyvabKYCOv79PQ09oCDW/bN6uqqqtWq6vV6NHSgQQuOFqCNtcVcet0j6wwqHu8MIOFz7F0iq2RPADjMJyAFncX9Z9FmaWjjFDHWJe/7wQcfxLMhPBt7GRBfLpdvOAcOJBhrnntalBxa0traWqYrqdcfoZsZGwfYPD/dcj0LhK7MN08pFotaWVmJjC2BJcYDEI6+JHDpz8N48R1A4/X1tUqlUtScoc9mOZOeWcS25h1Kp/p/8YtflKTQydLsDAa6VsrSIdEB0xwzArvUrHmjIWniwGN7lpaW1G631Ww2M/X3P6oQ/FhdXY3sOh0yCWxSSz3LocyD41qtFkBhmkD3lhTN3xAHE/7+TsElk8Y96fQ6K7OEk48fkxd8IXQudpr3RUfDpKGBB+9NQAjbhA+GrnA2FxleQAc0bNf51Nl7jfeLfEUCRgREfeykcaMr3h1auzQJmCKuu1dXV/XGG2/Es8OsmTZXw+FQ6+vrYaO4D+I9CTxwJ2X9YfZgoVAIXYFMA0w8m18rv06hOGNvGeNZAnPEwTTv4PoPP5OxJGCev9aLBNvt18kL7DfpZnfWfEYSMJinc/NeswI8LyMvAoZzklr2/5YkpWn6H1/5jrPl36Rp+ktpmv6rj///30n6T2maviXpP338//9PCYv/RVRSX2RutDzjBuhDQbIJAAM4lFzDlZlvFj6Dg+OZRGgIZDi8podoMhFegB+LGDCKccFRA0wRgXVwhkMOdYF38kwYFFQohoACfuc0LJQZdFFvPuOOKI4plDPAaKEwbqaDUcbRxlEC3OC4snGhgeTBG847Sg8liIEkW0j2iMwJ58TheEBXBSBzhAJZNwwKID5N06iRw5FzmjD0DQcIXMMNHfQZxhSQAv2W8cVR5lqFQiFDN6EbIEcJkN3GmWXsWbd0fsRo8nnPFPsaY/6gVRLJLhTGnUkJlvDOKysrATygAwIGcUA9wFIoFEKJt1qtcP7Z12Rq+cM+8rbTBGWWlsYHwON4OkWYmreLi4twGJ0GDvjzhiyAWQyK0zdZsz5vnsFFnCrsxooAD6AM3UHE27Ne1Wo10wxGUqznSqUStNNms6lyuZyp5wSopWkajYMuLi6idpQglqR4byKmXh/HXDQajRgzpyZCRWVPo4Pm5+d1cnIS14KS1Ov1Yq6lSRdozza6s1ssFtVut8MpwViXSqWYYzKAbvRxdJkTsivD4fCG85unofO8jHNecCBpqsS9/P55pyafvRgOh1pbW1OpVNLjx4/jd4w5z0F2D4eV4BHZBR8z9rs71NyLoy/IgDuDg9o7D8jNAgLSxJ6yxvNOb36sWJe+R/z6HuRDz+THEz0w7fgBrusNSPx62Davf4eZgi54FanX6xH4wW7wfOgR7NAsoMez4juwpvM0XpzxdrudCea6k+7rOO/zoEMIxknjvUHzJH4PHZvxhkpPsMfvMzc3p3a7nbER6BbPmC8vL0fNOYE8nmtxcdxRFzvujeSwUYPBQMfHxzo+PtatW7eijg2Qz5jxzvwsSRJ1Op0XnnmNL7a8vKxHjx7dAJJe5uFjSSBt2pizFpk7b7wk3Tw+Dd+SZ3X9gW/Es3gmi7lot9sxxj4PPNMsWrj70fksGe+LHXf/z4UxOD4+1sLCuEmL04cl3Wj6RaCXMfJabRqdvcy+xKfjuaaBSWybdLNrqX/+/Pw89m8+G0wpwE8TGErSLydJ8iBJkgeSfkmS+P/Hfz545bs/X/6dpP/w8b//g6Tf/Cnd56cmKEIW4yyqwKwoEc4wholFT3QbMORdmPg9i2ZpaSkAHkoREAD4QqHxNxlFwAfXxGEjYyVJd+7ckTQ5Q4Zou3cOJKLL96GsMCYO5FwRO20Q4IjD550OcQ6c0+81Gk7ZY0w7nU60LodGw2ecq+7d+KCi8QxXV5Nzxo6PjzO1cGQVHbxikD07ls/qXF9f69mzZ1pdXc0YHqeneO0jwHlxcTG+T1SUaD1BBa8H5DsOuIhuMie8pzvS0Fi8YF2adO5y+qYbF4IG0oQ26sCFuSILQ5aH9cZaJ0DBszio5B0YfzKTrFXGiloznpHaKfYD7aihcqVpqm63GwXd3sCG9eF0WyhhrFveDwPIWso3siAryjsyp3zXA0U4sWRpfC0C8nAMmFfPuLmTxvhC3czrIEAmsrm5GXOA0Fbfo70AIgIn7IHT09Po7orDz70At2S8mWOCO9Ba0TOIB7nm5uai8Q7RVGilUMfJCtBEp1qtRhYN8Me+aLVampubC3YCQDxvfFlXZN6pQyE4RNasWq3eiPBKEztB3UqlUsnUSElZYML701p/WsaQdbK2thZZaJ4pf03WHEEIn0cA/BtvvBFz6RHrcrkcDiFnqcIUYQ2urq4Gzfrk5GQqXa1UKoUOOT4+Dv2AzgKUsK9YU/nMCcJ6xv54ABHhu85ycdDH+Eo36ZSzaKwwOPLCunQmEPbB6579XpwXeHZ2NtNpfpFgM7DTBHyc5VIqlbS4uPjCe7B3vM7ahbEiiCtNgDni699/PhpNmtaxl/k5P2PM/fxH9CNsAfaCfx/6K2v88vJSR0dHmec/OTmJvgbOZqK2zgNanmkmQMk4lkqlWPscIURA0gMvBP8ODw+jC/bzBDZIoVC4cfyBNKZrsg+dstzpdDIZJ2eGYF94F+7j90RYR/hnUvbgeWwlY+/7ktKDWq2m7e3t6GGA74U+mdbNl7FCDg8PMw1yfI+yt7DpLlwbgH9ychINyBACvQhBSq6PDyGNx/v6+vqFh9sjV1dXMT/TMoZQovm3iwcJndZ/dHSU0Ut5NturyMsAw0VJ9z/+s6Rx05n7uT8/rqSS/mOSJP93kiTULG4bVfVA0va0LyZJ8u+TJPlHKKg/S8LGYUH9KJRSBGcXo4XjgbPjNSR09MSxAiQ51ZSaONLaTvdjw/OsACNpQvHAASPbxwZioeKMAWQdbKDESPE7jRJHz6lzOOyMA9F7DAMbFkUJmEuSJDIQnsFDAI6Mg9MfAQylUikog2T1AAJkK9zQYAxOT08zWSxfBzj6PDvPy2dxtt1RILrMOmKevIaTDNfCwkKMLaCEucPAFQqFMC7MB+CKtYRCwgED3BJQYA3xMyK20HIYX4AICsyzjN4FlIg1Y0omkaACBtobGHg23rN7ZKR9z3ANoreFQkFHR0cBEqAr8xmy2Owjp9xyHlg+eg7YwxhdX19HzSuBETI7BHtYe6xFxhdgh7A2oDfjZA2Hw6AslkqlTLMrBy8AGIJB+dqL8/PzyGJ6VJkMS6/XU7vdzjRMWF1dzURsKcDPZ1T8gG6+S+DKDR/706meZJfJ2HpXXmqkfE8zV6xBaKv8TUdDAhMEkgg+VKvVmGOCPOzPNE2j3hFATqAHAWTma4Dm5+e1sbER85XPJDFv/M3+7vf7NxoI+JjhKJDZnQa0cL76/X4AXClbY8g1Oc+UxhZ+DeyCZxcAkO4EMy6cu4duwR4xB4B8L29gnxAU297ejiAJa8MzatgKnOtpglNLJt+DmghOoduo09PTcPbQtZJuOJp5Gy8puo5Oa0ZBxps1XKlUMscnALIJjMEAcLr+qwgBUPYXe4k1k6ZppovyNPHsE4EtWDUuOKTepyBf8+Tj5Q2V2IeSwj5KytSO8XvW8uXl+CgW5tYplmQV+/1+MG0khb0GBEqTzDh6kLXLO+MHsC7wU9ivPD9r07PDZGQ5ToOyB65179690C/Pk1qtpkqlEg2J8lkz/ANpclQQ7+bX9u8NBoNgMjjlG8l3CT08PMxk3gFJzAmUeg9+cB9pvAc6nU7sHQLY2J5ZWVMHbw6gJGXsAf4mvpGLd3JutVph1/2e+bpZ1jjrBGaLNDmL+2V8e3wnfOZpjALXT/lEkuts78q6ubmZuRYBmxc14HmevAgYfvPjP3/7nD/ffOW7T+TLaZp+XtJ/Jem/TZLkK/7LdDzqU0c+TdP/OU3Tf2UU1J8ZYWLzEcr8xptFbcFQoSCJouNEevTm+vo6Mjz8P1/v5Z8ho+LOv6TImkiTDBYZLhYtzqbXDjotAODg9AicezJkOAIYfhw0DD2fQ6EBHqDpYdzIPHmjGEAtxtBpCoydHxoPmMYR5ecAV7KWKBxoZtSKEMWk/oXaEYw6CqXX64UDyxgCqlAs+cZAfq6kpAApPDNAlKypNFHA5+fnEW12Chxj6PVTRPqoo2M883NAVg+Q54EB/qZ2gudmXD1rxT7g2XEiAIc8l2dXPUuMk0SEljln3xDxR+F7LQf3c7oy64bmIQCSg4ODyMZcXFxoZ2cn9gmODtHz8/PzaJqCgWXfQC3j3QAmvK+DP8aGMSDDx7zwHRxHziUDTBEcYP48E0tXSDeyTsvOG18yX1yHPeROJdfIG1SvcwAwEjQAoHo2HGeY50ZPXV9f6/j4OBwt9lW+0Q1BCKfuEjgggMRZkxhSdOxwOAynrVarqVqtBrDHwLqu49k8Ury2thZr5+rqSk+ePInfAYQJLrnzzbjSqXFra0uFQkH1ev2Gk+TAnfXOcSLTnEqydLdu3Yp55B0Q/u2UdHfW6fbsgULmkvplaeww8i7QktF/NOaYNlcEiaCiYnfotutUTqcxIs+jTOE8otekm46uN6hByuVyrFmnRPp96SYsZZ08rz3LizfqQu+z55i/0WgU2aD5+Xnt7OyEnXzZzERekiTR1tZW0OZgBK2uroZNANTPosU5NZ566GnNcDxb58wgX/P5AJI/p9OdWa+wDzwwzLp78uRJfAf9wRzzLn50D4Epgunu1HtAiGz1YDDQ1dVVlMOgh5w+6n0a0D8e8AW4Mv7oPXRgp9N5KXBBgIDsbt539EZfy8vLunXrlqQxQPbMngcYOJSe60vZLKDrFd6j3W6H/cvT3QHF3g1emoAy9j7vgQ/GHppGiZeytYdzc3Pa38+2OHFKPustf7QE64HAlIN8hEaAiLOdpCyz4M6dO5nA0fMEOi/POe09r66uZmaNXW8tLi7Gu3E2LgKFdxaL4mXkucAwTdP/PE3Tf/OiP69898l9nn7895Gkv5L0q5IOkyTZkaSP/z6afYWfTcEw5JF7Puo3LUKHI+dGBtDgtNJ+vx/nqdHd0+/DJsWZ4nssZtLmnu3BAfD6Dv7mucgCoISgIXmGi+fHyPI9FCvjgFMKWIH+yHM7DQ/A5EXdDlSI7DgowQhSp0GEGsWNs02GhAyTn2fodU3UGgBQiXgBZPzaRI+lSY0SReEUcNMWn3mnoQiZJeaFOUCBEnX2Z5YmCoS6INYLYDufOWKscES80x50DcCFF8pjuJkvp0p6NpZIr0eXeRfuD2DwzpM0OOL5caihcgI4WReALtaHR/YIEpD5IaqLYcVxwNlgX+As8X32GGuCNQcgw8gPh+PmBTgeBGB4PowDwQYyuTQ4kBRrjci8Z32JhNdqtTBwjDX7knXB3HpNnjv4ntHDkUAAmDAUpLEjBkUUwTnK12pIyhzczN5A93jm0+m4OA3r6+u6detWfJ758EAAa57vw4bg2QHx5+fn2tzcjLXsmezhcKitra3Ipl9eXsZBzDR7yFO3AHkIawNdkz8WAV3p2V3mRpo4JzhdNAhxcQfE9YrXFrmgk+iMyDs7kPH9zxry90Lvo9/diSoWi9GKv1gsZnQ2wQucaA+6oY/IwpTL5XD+cappXIQ+4Bo8M2sZ3TJN0F9khvKgUprYYw/CuQO3vb0ddtWdreFwGHPsAJ7GTNOAIXaEgAOZJMaZmneCC0tLk1b0jMWrSL/f1+HhYeh+9D/zRS8CD4TkxbMt6+vrocPz684pcswXuhzJZz8QZy3QmEyaUC7TNI3r5wOmXPPk5CTmxecNnY/dGY1G0R1ZUtD/0TO1Wi1sGGwE/CJ6MDibBlvNGDAujDU6miCn91p4UeMfBNrlaDTK2AofP8/oM2cnJycZ39DBvzeigpbtut3ns1AoqFqtZuZza2srMw/Y2bw98JpWfITBYBDBK7KYs45ZcH2Kb+UCwEVPoUNdfK06MyrfGCmvd/O1koCy999//0aN3yxB75Nh9UyrvyPXyj9DvispeiHfuRp/dtZ5kC8jL0Ml/alKkiSrSZKU+bek/1LSdyX9b5J+5+OP/Y6kv/6XecKXk1lGWfrRjqtgUiWFQ4wi8Kg9xhPlgsIiqoaTzwYFwEiT7AmbAcqPO1I4sQ6cHEjxO56Hs55ckUIdIqsB9RTn3OmxKFZp4vxAlSXa7LQ9rk0W1TOZZBzJhHl9AeCGDKo7GzjePtZEU3EeyWycnJyo2WxmMg4AH65DIbdHpFkT1OxgoBzwUwMC0CIo4B3amGNJ0VgCJTwajWs5qfXxOks6uGLUAJ1utAAUGDMALXPozhHXZh3yvAQb3JB6RpAoLGuTeWc9MX5EtX29sgac5uONKpiT9fX1aCSEofY6TxxFstdcg+MevE52fn4+Mi5nZ2dBbaI2j3eAxkm3M+aZ5/a5JqLq6wqanTvVODLoAn6fpuOaToAd649OuN1uNxyJaQ4cwjNPo6mtrKzE+sKw12q1+IOQhXDAwfy7Qbu6mnRLJYhSrVYjsEJWlXk9ODiId6TOg2CNS5Ik4QRBt/IAmjQ2oGRyATM8L+sffVEoFNRqtQLcezYHw+0ZEWmcMaM7ZZ6uS62jO5l5AejQZKNard54TweG/BuwNS1jOD8/r/X1dZ2cnGTu6U4H9wDccaSIzxn6xusjWZ/n5+daXV3NgBoCITwTYJ7aZ8+UEzwjG8IYQe1lrWNfyIizf59Hr8R5dAZD3uFinsjiSMqMJ3tdmpzRx/szpu6ceffLvOD8Yy82NjbCLidJolqtFqCDd8dRXl1dnepMvoyk6fioKGiAjAP0eSjfzP804edkzfAT8pRZt+OMtVMweddp/3bWAcE1SZlgUT6jyT4HgK2urkazK+9a7LaJuV5bWwsn3+nh19fXcU4gwTmek/VNVh2766wI/y5ZQRrIEQxj3WGXLi8vp2ZgXTY3NwPgT9MPx8fH8TxOL6dDOuJ6y+uYLy8vtb6+njmKyEFTt9tVpVLR0tJSrHl/Bvdx5ubmMvd8/fXXM+OFP9NqtTJrblbGzIEgc+cCFR69kA9iSdmABMHFfIBvmnDUhpRtzrW9vR2ZwBcJCQqCutPApPffyD+TjwsZfil7Jqg0OWvyRbTk58m/ODDUuHbw/0yS5NuS/kHS/56m6d9I+h8k/RdJkvxQ0q9//P+fWZnmdLlheZ74xvJCaqc5YnCd9olzfXFxEZkhDCAOP9EMsoQ4VkihUAjDTNaHyC4OHE6nNIn8EWlzkIDzjoMPUCUrggNOgTgOAsoYh4B6EIADCpV3IHrotXaAVgQQhMPntFzoSzjUPCMAEHDhm4+5IJO1sLAQZyvxDgAfDAcbG0M5HA7DAHtDGx9fwC/j6JkrHI61tbUMdYaIJWNI9grnBCUJwIAik6aTluyAQ8AF64K1eX09OYYE5V8oFKJbF04+40O2Ff6+03F5PndIMbyeLWZMAco4Msw564wzCXk/fkfmkPVNHUOhMC7cd5osDQs8QFIulwMsesOdwWAQRpl9xrh5Aw8oeMwRexlHlk6e7F2a7bAu0CvucDvlhmcFCHq0nWZDrCFopjhr7qRxsPXu7q5+7/d+L6OblpeXtbu7q3v37oUjxNrx4n/GyaPH7BP0EeubtcHaZw/RcAWHmP2E/oKKzv7KG1auxRpwx5wADI4DDjZZRu8OC1AnSuxZAWqzqA1zXVqv15Wm4wY61Wo1ExDkDDr0lOt8HFP2tI9rPiru88Z8EMx4Hs0Qh5nnnZZ5LBTGzRgAwwg6KU3TG5lJAhXoNsA1c8p10KUEM7yuEiDO8RyAWO8MDYODc+zQ/85emSb+rGRn8lkZbBhBGUlRCyll6XnuJHOci5S18az3Wc0fyOgnSaKjo6OYN+wZ6w8wRAdl1uGrCKCHIyQIAkgKJg26ZFb2g7VTrVbDJ4Fl44Lj68A53w3Wx8bXrR+L4zRA5mBhYSEACY4y7+SBaMDOW2+9FdfFv3AGkDRx0PO22GvLXJfjtxC49IwR4LVSqcR+Q3eQmSNQmSRJ1Dpy3RedhVcoFKI28vr6+gY4un37dlzDqbj5bLODDJ+/er2u4XB44xw/hAAQPlz+9/gp1WpVq6urmefzLC5+IA15yF7nr+fiz+81dv7u+EbYjXz2Ow86mR+3FQSp/P3995VKJVOKUK/Xb1BWn/f8zM+098SvlHRjbvN9B5yR6HO4tLSkarU6MxD8MvIvDgzTNH2QpunnPv7zC2ma/vcf//w4TdN/m6bpW2ma/nqapq0XXetfUvKTKGW59i55w4SRJqLlRhsQ5FEEHGyUCVQvdzpwCPOROQw3mwrQRtYFI00nLegAGGE2zPr6eihZnhM6HyATwISTgNNGAwMic2S2oAk67dFbSzslD2CCo8j1CoVCNI+5uLiIzJVTWcmGQelAIfu5gTgjGCnGl38T9UX54rR6dq5Wq2l5eTkiY4wFoKFer2fABobG+e+AWDdAtPH27BBAi+gpBpKoPZlRAB40VqcbSpMiewIOrA+ug3NHN0w/DgVgBR0PJzy/Rmk2xDhjdFk3bnzZC94plnf3jBCOGwARmjXZBqfHeaYRyh8/Y1yYewISXLNYLIbT4XQNaLCAG0AIgRwCGp4hAUwzP9Tz4VjhbLP3WQNOD8YpYq/xew8CEVAi4MGRGAi1XPfu3dNnPvOZjG5KkiRAMYYbQ+RGls6jfp4blDpnQRDJZC1WKhVtbm5msqPU5XQ6nTD0jA8ANB+lBThAO0QvOTWQ9ebON2u3Wq1GxorOgVL2qILRaBRnm0kTIIgMh0Pt7u5qbW0tKOE+FsvLy+FU++/yB9z3er1Y43kqVL6ukudgT+cFncuZc3xnWuYRmtjp6Wnmvp7td/AEpdpr09A7zDe11oAhHGIHo85uWV9fj+w+mftSqRTn4AEYATKbm5vxDNMEG8wemDZGOGqe4XKbe3BwEGPk2cnNzc34vP+c7q/TMh9kBLn2xsbGjbpMgkQExe7cuRM650VUw+fJ3Nycbt++LWmS9fMOzMvLy6rVajMdcz+yxwO0swR9Kd2s03IA5P4RrAlJGZYTtEOn3vI57LCDMj/KQppkkxYXF4Ouh93z4Cj+Q7FYjE6+2L5CYVz3i88BUOW96JVA4BT9vrS0pLW1NS0vL6ter+v27dvBWoCJUygUdOvWralZZheC7wCqfFZof38/Q5EERNMFGnEw7roAf8gzhg7oWZd8ju8gjBe+mD+fZ1yTJAk9Oz8/Ll+5e/fujfu5+Frb2tq6sefJPFIHOW2/+7Up58HfQEqlUqbGGpCPEGCRJgyYl2EF7u3tBYtGunkuoZTdF/m1kH8Xt8f+O5hqs8bxZeTVD7r4/4ng8D9PkiTRl770JX3961/P/JzFlgeG+RSxOx5+P69bg47n9VpO/eR+DvTYcF5gDigBxJBFwdmiI5x3hATMOI1KmtBieAdXNl4PhcOG8UGBsnkBRkR58jQAwIdvPhwnHD0ymTzjwsJCvDd/GCsUmytExstpYzr0Xl8AACAASURBVAAZ6qL4OaDGs6M4swBcryPCqHuGldoz5svn7tmzZ+HsAz5o4U5HRJ4BcE69iztOAC6oBZ6F5Kyb09PTOGPQayBrtVocxlooTGpOcbQo0pey5+jwfQAzmS7mulgsBh2Fd8D5YywBtIw/hiZJkhvRtsFgEM/IumLt1Ov1AP1kW4mmUZ+4sLCgXq8XDT9wasvlsp49exZABAoTWbu5ubkw9tvb29rf39fm5mY85+rqqmq1mj788MMYb/YgIIQxcxoe+11SnBk6HA5vOCG1Wi0cJYAm40aDGRwlOg1yVl+/389Q33Z2dvTRRx/pj//4j5WXvb29DMVRGoPAfPaiXq9nqIPSxJDX63Xdu3cv9ALrFh3z5ptv6rXXXtPi4qK+/OUv69vf/rZWV1djTXBsA9l9AjOvvfZa3Gt9fT3WTKFQCPokz37r1q2oh3O2AI4BtDX0b6lUioPva7Wavv/970ed4vr6esw/Dqg0phWx1hcWFjLBwnq9rp2dnWiK5GNHQyPqO3d3d7W1tRW1PC4ONlgLq6ur+sIXvqAHDx7cmD/qpHZ2duKZeR5/NmnsbLXb7chIIGtra6Fnl5aWMtQzrk92YDAY6HOf+5zW19fDPuHsVyoVtdttvfXWW2q1WqFzCFoAqJg/GB8nJycBoKrVqmq1WmRf+/1+Jngy7f35m/2dr6NlXXPunDR20Pjc5uZmOIbuuAGopGx2a2VlJToz5gUdm6Zp7AvW0DvvvKODgwOtrKxob29P/X5fd+/ejfVEE5NXlY2NDb333nu6deuWut1uZOcWFxcjSObBg7xw73feeUenp6d666239PDhw9jb0z4Pg2B3d1ePHj2K3/kcuC66f/9+rOPbt29HZnFjY0OvvfaaTk9P44gs715KHXK1WtXW1taNdb65uamNjQ2tr69H3TLv6fOMrYNRwr9/6Zd+SY1GQ8vLy7p//374UQcHBxHkmpub0+7urt5+++0AlvV6PQLC9+7di/cpFova2tqKvcmh8bu7u8+dw1/4hV/Qzs6ONjY2tLW1pc9+9rOZ33/uc5+L8WTMGCPf875efS7oJgoVl3lA1tfX9eabb2b8GweRq6uroUfv3LmTCTJ4hndvb0/n5+cql8u6c+eOPvvZz4afPCv75rqvXC5n7iuN549gKmfWPm880zTV3t5e2GqEoAlSq9Vu1BgyroVC4caRQrNkfX09AoOSpj6bY4U8Rf7s7CyeE99d0g18QnDkE2CYk3zW7ceRX/3VX9V3vvOdG52XXFZXV/VXf/VX2tjYyETM2RTeMESanGdHho4sEFFZp01Vq9Vo7UsdEI4VQNEblwC0iMSWSiWdnZ1lNhutksm8Ea3HWcbQEtnlekTlKWqmkFuaAIXBYKCtrS01m81wqCnkh+qHAzCN8spze5aG2oqVlZW4D9lDgC80EgfLAELqWfju2dmZ1tfX4x0ADNyHTN3a2locsk0Who29vDzu+PXkyRPVarUoVj8+Pg7qDxkcFAEKBhoioBnwhyG5f/9+phHH4uKidnZ2ogU+GZ5isRh0NtYNzgiAqFqtRuMBzjOrVCr6jd/4Df3t3/6tnj59qoWFBe3u7mppaUk7OztB2UJJYQRrtVpkSTCcHm1lzlhrdGLkOIRisRgNHsh+bWxsaHV1NbKMnFPnWS+aNBAQAeT3er0A2GS8ichhHAD7NOIBVDCmKNdqtRoRYpyI09PTcCIA0lDZ7t27p7OzM927d0+/9Vu/pcPDQ3W73XBYq9Wqdnd3dXR0FGMEINve3o7utewJb6bT6/UiukgwAEFnbGxsBIUWEE4AhewQwRMovvV6feoB61/60pf00UcfTaWe/OEf/qG+/vWvh9MojcHi7u5uxlju7Ozo9u3b+uVf/uX42Wc+8xk1Gg3t7e3pX//rfy1pTO16/fXXAyAtLCzot3/7t2N//Nmf/Zm+9rWvqV6v6+2339bGxoYqlYp2d3fV6XRiXHCsEZxQutwtLi7qrbfeCkNKV76NjQ3VajXt7+9reXlZ5XI5giDsF+jbGxsbMY57e3sqFAra3NzU7u5uMAJ8DNbW1rSxsaG9vb3IviAbGxuqVqt68803tbm5mQGNXAMHbWdnR/V6Xa+//voNEOPyhS98QdLY/vzBH/yB/uRP/uTGZ7a2tiKweP/+fT1+/DjGCyFSf/fuXV1fX+vOnTuZZ9/e3o462jt37mhvby/mEkcySRJ98Ytf1EcffaTd3V19/vOf18bGhr73ve+p2+1G1nJjY0OtVkt3796NZh9kWQjCEdQql8uxZ4bDYaYjMEAAet4sYIjzdf/+fR0dHanT6WTWDe/BWJGN2t3dDeCwtbUV7/zpT386vkenV0n61Kc+FT+/fft21NxPe55arabT09PQx9ResZ4Iap2dnenXf/3X9fbbb2tnZ0dPnjz5sehh9+/fV6VSUaPRiPpoZ27U63W12+2Zvg5jWSgUtLOzo3K5rPv379/43DvvvCNJeu211wLElcvlGGe/lqQbgMW/w7/X19f12muvBdVZmqzbN954I+pyNzY2MhkfPsO1OCLEg2M4+Xt7e5qfn9fBwUFkvvAX0AeSIhibJIm2t7fVbrdVr9cz3WZff/11VavVqEsfjUaRTZfGAYInT56ET1UulyO49jzxpMH8/LyazabeeOON+H2evs56WV9fzzSZ8f3itF58OLcP+b1FkBp74N8HlLRarQjG5oVgEawiGpl5GcI0gR0lKRNk8OekZha/9nm1f/jdvV4vs1cvLy9vAEF/Rxhs0jhD+zz6tcvDhw8z351GNfeAYf7Z3WZ46RTsIaTVauno6Cjsw6vIzx0whLf9PCD3o8iXv/xlPXr06LnXYxNtb28HMCRrx7+l7EGiOPJEJ3AKnQq6vr6us7MzlcvlyNp5Ry0ioNBwuAZA5+LiIurgvIEK5x16AwAyGgAtjKI36fCDcJ3mJ40VPQ75aDSKiE25XFan0wmwCQggE4njRbYQ0MoYkUFaX1/P1LcADlDcbGQfPzJl0LrInlUqlUyL8H6/H9cny0iE/NatWxoMBnG4MECDurNbt24FUJMUWQ6vRyCiSt0SwHB9fT2cn42NjaDBAaIoei+VSjo+Po7MEBEuqIoYRRQu4IF1Q/bCKTe/+Zu/qffeey9oekSjDg4Oou3+7du31W631ev1Mt8leEDUyruQcaRDo9EISgdnuNH0hu8CEAmAoNipISKzcnFxoc3NzQBdgCXWGKCfWgWn+ZydnalSqahWq8XRHRsbG5G9ZN0DtMhUEfEFSFQqFc3Pz2traysKzpeXl6NQ//bt27q+vtbTp0/j+SuViur1emRlz87OtLa2pl/5lV/Rw4cPtbe3F41wvKEDY+K1RrwvGUFpUqPIOUYETtAzXrM7Pz+vXq8X1FMHBpVKJeO0udy/f18bGxu6e/dugBRqKtxQEcCAropeXF9fD0dSGhs+nKlSqZQBPjiBb775ZkTqoXny+6dPn4aucWNMEw/eFSCPcYWy2m63IwhDIIpaUmnScY7ADXMJYKQOjoh5HmSUSiVtb2+r1WplMiHoMN7FgRc/c+NOtuJ54h1xmZe81Ov1WC/sCymb+fKD6snAu5Cpb7fbarVaGbtGMOb6+joO6ZbG9oDAV54FgA7Z29tTr9eLwAj6bmdnR9/97nfDrkJTpmvn9vZ2dFl13TdNWKPOusmDK+qpvOba2TDYZylb/+l1rO5YQiGcljHEbrLn5+YmbfcZV0AbTI7Ly0sdHBxMref7UYRmWhzvQMCZQC86bhb45Pm8GVa73c6AYmni0A4GgwAj7XY70zjHx9EzHgSMJMXxP9LYiX748KHOz88zZ1O6sA673W7ohqOjI73zzjuRXS6Xy1FPzHvyXJeXl3FO7cHBgfb29jQcDuN6T58+1ec+97kIwBHMp34QyjUB9fn5cS0zNbOFQkHNZjMo8vgNlD20Wq0XNjFhrZ6ensYZpS4cdr64uKhOpxO/97NIpey5kj6Ox8fHUZqTvydCuQjiAAdQsry8rKdPn2YSJUi/39fR0VGAMgL0T58+jetNo2H78y8uLt5oxHR1daVWqxW+MYHHWXJ2dhbHS/kYLCwsZI7GODo6iuAN78+6Xl9fj+OQXiSsDZ57WtOsd999N/M+Lvv7+2GnB4NBjO3Tp08z64b6zh8HA/3cAcOdnR0tLi7+xIDhH/3RH+kf/uEfItI6TVg0t2/f1rvvvhsRIhY3SgLqGosV3rxTxLwuD3AAJYrrOOBBwQBkqMtI01Tb29uZaILXdZDtWVtbi8Ybg8Eg+PcYfXfAADBEblwpOT2gVqvp5OQkjAyZNz7X7XbD6fPub4Acd4pRQBw8e3JyEiCAjo+MszchgGJErWGSJJHt8SYUpVJJvV4vGpswN7wzY05qnrHf3t6OTDD0zq2tLfX7/QAngGIcBAAJdF3mulwux7kze3t7AUparVZEP/1AcOaZqCZOlaQMDaxUKqnT6cSaYYyKxaLefvtt3b17V0+ePAmuPfPlDWCur691//59tdtt3b17V0+fPo0oH87+2dmZzs/PM9x7nDw6CfpZgzjYSK1WC6NAdpsgyHA41Pb2dqYOC9ruaDSKOoWTk5PoojoYDCL7x9EBfOf09DRq2hg7p6L5+wPQyVAzHh4IcsNDptpptjhjvlfa7XYcUXJ6eqparRZ1b9Q8Hh0dxd7FIQQIoy+KxaKOjo4yEW4aEAGyicxCsyKgknf+n9fBjOZWHo0miIGwXghuSWPDlz+Hczgcqtlsanl5OXM+HHtWGnf3pKPszs5ONE45ODhQsVhUo9EI5xo5OzuLGmUciEajETSofr8fDh6Ot+sKjsugTrJQKIRjyPEoOM/QVJvNZsYhgMrO990pwmHtdDra2trKOCIAg/z7DAYD7e/vxz7Ly9HRkXZ3d2PvHx4eTv0M40o2Wso6e/z+9PQ0DuF2wYHCfjFu+/v7SpJxl8daraazszM1Gg1J0ve//32Vy2U9fvw4ANetW7e0uLiodruty8tLHR4eRtkCgKlarardboej3Gq1IigqTWomCYJxTu4sB/Cf//mfJSk+e3V1dcPRJfvw8OHD0NUnJyfRifD09FQHBweZuZIUZ/lJypxZeXBwoIcPH059poODA7XbbaXp+NzYo6OjmJNWqxX2jnVFne7t27f17Nmzl8pMzJJWq6Xj42NdXFyo0+kEYIEiTffVWeAEeiEgtVKp6Pj4WN///vczn3v48KEk6cGDBxH06HQ6GWfbOykytjwjY/zs2bO459OnT7Wzs6Nmsxm6i/v+3d/9nR49eqSrq6sIen/ve9/T7du3413obnxycqJ2u505CoPxf/ToUdQuLy0t6cGDBxGM+Na3viVJsS4JwHLWqZe1bG9v67vf/a7u3r0bjJGTkxMdHh7q9PRUDx480O7urtrtthqNhhYWFvTRRx9pfn5+aibMhY6kz549Cx/Lxf3Ug4MDffTRR/HcPuYODH1eGo1G1KEjAL+Liws9e/ZMH330kbrdboyfA8OTk5PoLr2+vj5VJ2Hr2+12ZPcuLi4yfS+miQdF0Asu6A06+i4tLd3AAdhigsmdTkfNZjOz5tvtdmZcO51OJljSarUi4ASV+HkAFPnggw/04YcfRjB0WsYQfyZvP6Rs8x3v71EqlTJA/smTJ7q4uHipusdZ8nMHDL09/E9CSHfnhaydC4vLG7BIk/b6DgjJ6gHQaMTgtVOtVitonu50saDm5+fVbrcjk0TqHGoPVDVprPwoxj0+PtbW1lY0jCGlTr0hUTAOlAfcoDAAQ057oFnJxcVFOLl8hv9zDhjRDrIJ/CEjSUQKkLuwsKDT09O4DkYVx5RMItfAwSJKx3t4QxToStSEjUYjdbvdyBh2Oh2NRqNobkAtGg4Jjik1I3wH0MS4LSwshCPC+jg+PlalUonNTTOg6+vxQd5ky6Sxg4DDy9rCyQQcUVc3HA6jTTb1oYACxotaySdPnmQoFI1GQ7du3Yo6rsFgoJ2dHV1eXurRo0cqFMbt+5vNZkTDOdSd/QHYZfyh5bK+pUnnvaurq6Do8HvegQ5q7C83GowzwQsMFBk8rwt8/PixFhYW9PTp0zCKzMfJyUlEbtkbGItWqxVR5oODAzUaDd25cyfqLJvNZkTAqf88ODgIKilgDMoSzVuWl5d1enqqp0+fKkkmhwQDWNI0VbPZjH15cnIS4HhpaSmMdq/X09zcXHQGpk6T/+P8Qk3nmaEW5Q3mRx99NNMh+cd//EcNBgM9fvw4nIVms6knT57oF3/xF+Nz7BcHwPv7+7H2vvnNb+orX/mKOp1OOCkXFxeZqC9Oca/X0/n5ue7cuaNHjx5pa2tLh4eHWlxc1MOHD6M+04FUoVAIoEIAqdfrhdPZ6XRULBb13nvvqVqthm4l8i6NbQdO0tramg4PD0NH93o99fvjQ9gfPHgQzU888zEajdRsNqPzpoOIbrerXq+ndrsdtUX+7HyG5+j3+2q323r77benzos01iPQlb/xjW9Mjc4D9AaDQUTp+S6Co0Z9cp4CyVpifHjnNE11fHwc87C5uamjoyN98MEH4ZAC/Mhu9/t9NRoNHR0daXV1NQ5npvEXR7iQDUFnV6vVOHoF29tutyN4OSvLhQ45Pz/X8fFxBGJmCXNwcXGRichzHb8PzyNlQT3vPI1G1+12Va1W1ev1Qo/7ge2NRiMYG6wnnr3ZbM5s5f8ycnR0pMPDQz179kytVku9Xk+DwUCbm5tx9t/jx49njg/7HwpqsVhUu92+0Q2X9eFjcHFxEeAZlgriTnmz2QxdzZqTFFm5i4uL2KMAG6jfZOj8CAo+c3Z2Fo1jrq+vg8YsKbP/PQuITwEbo9PpZLKYCHYXZszZ2Zlef/31CFYyv4Bc/BHWMUFk6Wa9WF5gwQyHQ11cXNwAXsViMROw490oiUFgbPAdhKy+ZwT5N4yUpaUl9Xq9qcdVDAaTI8n8mBcX79jsDDfW1/Hx8VT2A8E7SVOzdLBl8LW9+RHCs87Nzanb7UYpk/v4+aY5c3NzNwJp+L74INPYAXkhCI1PPq0DLQGalZWVTP069/V3xac6Pz/P6CX8/x+nUdXPHTCcZhx/HPn93/99/dM//dONn7tie++99yRJ3/ve9zI/RyHgKAJO6Ox4dnYWykdSgB+aiywujg/opCCabIXTFS4uLmJh0Cyk1WrF5vPvJkkSBvfg4CAWE/V6vV4vDLhHaWlSQoaNg7iJ0kORgHLYaDSiQ9TKyko4S4CAw8NDlUoltdttbW5uqtFoZGryALjQHxgTAAVOGVkuMkUoMIA0DjaUl2KxGPQjwC3ncuFwMwdEjPb396NtOg7i0tJS0CSOjo50enoa79zv98N5mZ+f18nJSUTxHj9+rHa7HVnTnZ0dtdvtAA0om8PDQ7VarWgYQ1bTsy9QaAFjAK5CoRBn4ZBhajQaQcHp9/s6ODjQn/7pn+rv//7v1Wg0VKvV1Ol01Ol0IuI/Pz+v/f39cB4WFxd1cHAQ3d3Ipg0Gg5jfxcXFcF7oCAuQJIt1dnYWoNWPsjg8PMx058N5IAuH4wj91JUkh5HTwZaDf+nMheEm69rpdIKiRWTt+vpajx490tramprNph4+fKh2u61f+7VfC+BXKBT04MEDtVqtyNI9fvxYf/M3f6OjoyN9+9vfzjQ+evToUcwvDWEw6Jubm7HW8k4Ce4bPYsyoWzs/P9fR0ZHm5+cjkEDUEsB0cXER1FiCDgQykiTJGP4PPvhAH3zwwVT995d/+ZdKkkR3796NtYFR+s53vhMZuW63q8PDQ/3whz8MahnAf39/X/v7+/rKV74SAIUxubi40J//+Z/rq1/9qhqNhr761a+q3W5rY2MjsgM0Kjk4OAjAl2/RTWZqf39fw+FQ9Xo9gL80tgvvvvtuOJrQc8kEHhwchENEM6dyuRwOCGdSHhwcRJOZYrGYAVHf+ta3dH5+rsePH9+geQGEz8/P1Wq1Mg4dc4Hz8cMf/jAi2flItEf60QUPHjzIZKxcPvzww9DfvV4vgI87VTij5+fnAViczuXUp6urq7CxfI79So1Wp9PR4eFh2I/l5WU1Go1gFvAe6GDoXKxjgp9OtTo9PY21Ds336upKh4eHUWs9TZgfKHzTgCHP1Gq1Ys4ajUbGLjNHrneguEpZv4N1n8+8+jOhdzwwQVMnxrRQGB9N0O12tbW1lfEVXkUoicC2ttvtqLddWVnRycnJjZrmaeNEAygyQ/nAOWvWmVsAN2nSIRTx7Dm+iKTwJ/gOIIIxYMyxeQT3/MxOQCSAjYCCZ8X4DNkk6tc5xgf/wX07/CNAMMc30EDs9PRUrVYrfC9YPq1WKwLY/O76+lpHR0cROH+eAAaZg7x+IHizubkZ+kbSjUBaPpCBUE7kvwdQEhhnLtifDpQBhZQLeeaN8SXoiW93enqa6aY6q5lL/hzMPBUTfxZ9RPMwF2wCWWHmyPcV3YH9uR1U0wdBmpw7PquTrwu2mPU+LZhFQsaPA0E8EYP/KI1tn382TdNM995XkZ87YPiTlr/+679+Ie+73W7ra1/72g1DgMH1BSvpxoTxOcAE9DucZ2+zT+TH67GIQEkKegFUKa/pIGIrTSg5ntHj83SLI2rJcwyHw4icYxgQDA6ZTUBrr9fLpO8x7Gw0QK1nOMlKLi4uRlMZomSAPhY/3VnJ/BEpSZIkspeMB/Q3nD8i+ziCy8vjoyXIUNK8g3eijTVUID8XEOXPc0pjBZemaRTaA44Zy06nE8qW+qjz83M1Go2gzAIUcHwAi1AuqZtjLlBoGCcAP+MDIHr//fcDLBEhPTk50enpqTY2NuL+ZO+gaPB5aeIkjUajWJfQkqBfQL3l39CEWR/tdjuABtFGAgMYgm63G8EBDCrKHAoaxgoFT1Tv+PhY3W439hDvcXZ2FkEXHFKyfRhUagaJ/JJxwMFEms2mDg8PgyJJlhpADxju9/vRLOf09DTei7UHmAek+15hPVLjxb4nqwg1kwZErBfmfXl5OQ5sp9YXAcT87u/+rv7iL/4io5sODw8j08gag4rlTozXPCDQstwpefToUaxDd66+/e1vq9/v69133w0aOO9WqVTiWlA7aWiEdDqdcFTJoBIQICNPBqbZbIY+JPBAlpFaYuhfc3NzUZ/s9Nzz8/NoDIa88cYb+uY3vxnty91xgWKOPvRMKWuTfcVz1+t1/eAHP9DnP//5zJgijUZDn/70p1WpVGbSDKvVqo6OjgKUMYd+HTIZZCkfP36cyUwR0EE/OBiiTo6gHTqfIBHNr9DB19fXYUOcdXF1dRW2C/1O5hBb4M2wCPjwmVlnBfMdt+H5TB57GTsgTerNJAUTQMo6waenp6Gj8o5hu92e2kEUO+T1T/wNWIbaD5DA+cQuv6qQNecay8vL6vV6qtfr2t/f1+3bt2/Q3l34HmAmTydH8G8IivFuvvbckXU/wptqEFyUxnui3W6HzyJNxpzsPyUFXvvsGV0akmBjeDbWOvZgOBwGgJEU9h3AwfXm5sZnylLOUywWI+h5cnISdgxWD0wA14tku2GkPO8sUklxD2dTueTr8Aie4fNMEweB7Mt8PaKkCCx5RtvHT1KmwzM2GeH+o9Eo1hy2l1pvnmGaeLAKirUL44s/CQ3YhflaWFiIHgD5cSkUChn9DJvOnwP7iU59mewciRfGZNp80CRu2jj4XuPYEknRcAnB1/px6pH/xc8x/FmXF4FC5N13353ZCTVfJOviiwNnAkcZ2iKgyuvXqH2jSB2am6RwbgEpZJBwfAECOOc4xThHOD8YAEADz4iS5TP+/Bh7MiAYAX7mitIzpwABxtspGFDHaHQAnZQxQpGhaHHqoXwCxqCQEAEG8EnjTQeY9qwWjj71oLz7aDSKQmuMJE45DhrzgxHEODIWZCrTNI3oeb/fj7OkUMhklVgrnGOIASOLwPj4HOOkEQllfRDVJkM7Pz8f9aU4u3QG9YwbBg4lzJj7MRKMB+/l9FEMCsYdcMcYQwvi/fg8jiZNOer1egYYUtsAYGF9Q7e9uLgI2jTggvGGcomDS8e1wWAQ2SmUP8/Ceof+5fsI54WsPs9M4xgyvKx1zpgC7Pk8ITw3tZr8jEAIawRaOWuZ6Cz0NsbBnQGyFtOK4QEyHjGnaZYbZgInbrzY64BTadKRmfE5Pz/X/v6+Dg8PM1lifkegjIw6wIF9iHDMDNllLylgHgCAPCfvTI0wOgh6P3vKsxasbWj8Dsb6/b62trZir+UdrtFocrC5f88zU/ztDVlc3BFkD7GWptGZ0BGcj8cz+dy580jzJW9Xz3pZWVmJQBb3hVrmts/1NZlhqIdk+rA3i4uLsQcJtuG0M2bQ9Qn2oRPQGYXC7JbxBCu4jzckQry+mDlA7zM/vF++zpZ17Q4oa20aLZCfsX8AZ9xHGu85dDfB4G63q+Xl5ef6Ei8SmmqRbceOQudFL82ql2I/4V8cHh5myh78/aXJkVII+qXT6QSdzssEJGXABHRjBJuJfYJyStlKoVDQ2tpalAdIkyZP+ENeu84eyFPSsZ+SYm0C8p2hRfap3W4HKwwGj5/vi6+CTsaXICh9dXWlH/zgB8/N1vr4UJqE3XIhiC8pY/Pdf+C9EM/erqysZOoHeWcE3VipVGKMnX3AXMCMm0YlhfWBb0DgDh8znylDfC01m80b5y/jczImXH/aNdxGeEBIuln7RyDThTHDF38RBVgaj0232w1dMq0PigcU8/rcdYxn6gla+Dt6Sc+ryCfA8Cck3/3ud2/8jEU47SBLxJ0xjJ+npmnPn69ncxopDi+bg3vjwFAfJ00WHpRMlLw3wuGoB64F8CCSSwMd/wyUQDYnipfIr9evkB0DnGCMyFzwfRQbEVbAoneWY/wwGjgKgEUcq16vF9Faoi04GCgQHHjPcPR6vXCsiUiSMU2SJAp/83V2eZqVpMx5iDhUACkcpiRJIvPsdEiOc4DCRlaKe5EF498oK9YOkXccDeaelRRE/wAAIABJREFUZwFAMA5Qi3henEucWtac0/E8+8W7syaYD7JEvCuGEwobYNO70/Gu1HCQQeN+nAGIM8o4QVtkH2GEAW4A0jxliXVKFJi1nAc+3u6dNt843zg8rC+uCWCVJmdGsYcxPqx/girQwH2cAdlkU7gvf3t9DD8DPOQNIUB6f38/Q0kEaKdpGqBAGhvlZ8+eZRwG7uVGnbFK08mxArzX1dVV5n15V2oQaYyFLms0GtEcxR1P16OMG/dmfXANsuDoE29nfnZ2lslue/CA687Pj49eAUjna0CgBlLr5DUkW1tbYcx7vV6GXeJAX1KUC3S73UxnU/8M6495og4tL+z1+fn56JLM+yKADeqrR6NRZh24k8yZm7wvGRjWFJlV1imdcOni7HYMW8E1oO2xLjzwRHARvU8QkfmblQ3hfVnj05xO1pGDWwJg0rgJio81QqAxf3901LRnImCGnsaJkya9CNCfHuByGv6rytLSUlD7od3ng2TD4XBmh0VsLcFiz8K5eG8F75nAe9KJm2fK18Sxv/24BUkR8AKk5YEd64RyD/8MNE10jc+v+xDuJ52fn4e+xG551nplZSV0ujcz48zJbrcb4ywpgsZ5sAJgffTo0dSGJC7UTnL/PI2XbJ2kTHdWLw3yMZOyaxcGhQekuCcBujRN1Wg0Qr/l95QzjKZluAlwSuOx5zxQ7vmijLU03tc+Vh6Y9BrR/FgzNrC1CNa5+BFj0uSMXMSz32mahu/xIsEf9zrHvOAPSTcbwvn7esCSdY3kgy2vIp8Aw5+QTEP/LJ5pyH3aonAapnPtvQYJACgpMhvuvFxfX2danaME+TdgK0mSTBtlounSxKFDEaLw2ARE33gmaRJhxdCTqQOYuCEBRHp2gPcG8PLeLPI0TTNgFgcERU/RMWAFJwJnhM6T3W43k2VDoeCAEKknG8Q7M35+7iBjjtLFaQWo4Kh7AbxnOfPZlPn5+TgGgHe9vLyMCLLTV3A8884DoBBg5J0sPQiBQ4CDQmSUIAGGB+NIBJtrsyah65IpliYGxJvjkClyAMxaYL65tjekYT2StWL9EjAgugvwYb1xLxoYkFWkXgQQR2STGkYE4z4ajWL8aeLiSpesNOuEdYXTxXzwrES2GSecQ9ZKu90OcEGAiLnluXDMfDxx0DxjidHzjD1OiGcFyEwMh0N94xvfyIwBIK7VagWdBjqTN15JkiSo1r7G2KveHZRrFotFPX78OPQXe4OgDVlqaLjOnsC5RvIUef5NUGR+fj5aw0ND8r3Oc/txLGS8PAhD5o3mUj4GNHNCR7vDRIQb/eiOBoDOSw7cCZ8lXiuHzciLUzehskrZOh6cJXRBmqY3zhTj/d3ZYm+RAQbw0TEwSZIMPcwdedaf20bWi5dT9Pv9jJOKfTs4OIjSAfb2NCELzx6dRq9yyiD7zB3ufL0RQlMSngvxkoq8sO6w1exvaRIQIiDlR1hxn1fNAvA8+AsEWTlbz3X6LAFIoSu9M+I08XXM+zI+vDNrB+H8WO7HPCwvL8dRE8w16xYdAaBdXFzM0EOlSRADnQC9nmszRjQAvL6+jsZp+DV0CYehAQBxKjB+zfz8vHZ3dzPrjcw+GTX6NaysrMQZiy8DMPABsGcuHqzws4jz68b1tAf48vWDPLekyLZ7oDh/Ldb20tJSHO2Tl2q1GqwIfIdZWXkXD6ZVKpXM2dzSpD4VnyRJkhsACf23ubmpzc3NKCnxe+Jf+HfyNE4CDzSKedkaQ1/r+eeXssdw5DP3/n8P7nppljTRP7MYjC8jnwDDn5BMi/SwKWeBQMSBgaSMk4lzSfbNgcDZ2VlQBNhcUDxRQmQCiUTwGcAaC9zr9gCTKEicXQx1mo6P0nCHlYwdDUe8I5k7wyjT1dXVyHzhgKGQvP4CR42MDYCGbBgOB3WWUMBQ0rw3SgJHhYgg48144aTD/cdg8h1qli4uLgJ0ESEn4utUNzeCgNbRaBROFdlU5sZrUKSJ84cC5V24J89I5pD3dTAIyMLxwKnld5KCDkakk5ok/s+ccMYehyQzJxT/M05ktBgTDLSDGq7pgQGy0WRXvUsizZhwcJ2qCIhiPZAt8rOlFhcXgxoKkCfT5+ub7BcZOWo6Dw4OwtAzz2QoMfZOWQOI8Fn2GHMIdY8MJ3URZFBwWBkbgAWG1wMuvDvPTga21+uF4eJIFKi6yGg0ijb23p0UsDEYDDJHzkAD92sAkPOZyOvr68yZStSgSArniLEvlUqhXwCaaZoGZQ2Qzn7NZ3hcGBMa+bB25ubmtLm5GXuNekJJsaao7+x0OlETAsXZ93Xe8NZqtdAri4uLmc566CbA1zQqJ819mMdqtRpHJkwTsuFQ56dlk3DkfL1K2SMC0M3oiLW1tThyAGHsyOZKWYqud8omA05zIZqiARQISHrTG5x5D5Lg/BCccjBVKBSiBvV50XFowgSHCCy6OGXUA53YIHeC8+d/Mo9+TXSKl0IgMCkAFO+//37cx7O7HjAkKEqQ7VXk7OxMzWYzMrkExhg7By2zxLO1BKGmUUmdJurAADvabDbj3d5///1McMVpjAS4+Dk2Mu9XeTZ1NBrp8PDwhqPuTCwy+zy3B2bwGQh8MzbU67GO0HXoAfYFAdTj4+NoZsR+J9tZKBSiIy8MLAKILwKGjUZDBwcHkdXLv6fTYAG1UjbLJWVBhgdepmX4vLac8aGhlJTNGLoemKYjuR+BQa/lZB3MWoOuTx0AS5OyDvwbfOB8NhAQS2Bza2srShgQZ5pICn/Xf+/HURFYf5EcHx9n6L/TQLMzUfJj58/owV18C6Rer6tcLr9Up9RZ8gkw/AnJtEiep3pd8lEej5TwWY8Y43x7hkpS/JyN5hF6lKrXu2FYoP4QsSFzBzhAuQAy/V0w2BQzo4Ro2kL2jag5qXMAD1kpHGnquAC3aZrG4dS0s89n8vgs78k7dLtdzc3NRWYOB5NGAg4kobA43ZIMIiAiTdOM404jFhx3ngcji9MCSIXa4MdVOIAhe+FR29FopKOjowAYKF2eza+Bk+NZSOba6xqWlpaCCsyaArB5LSCZVA5BdzDDeuLdqIPEmOH4npychIFkvqHtSRNjTsTWKcc+r+6weO0sSt/f1w0ba5YMBkCeSL1TTRl/5p/xQWFfXY27kzFGOIKsXT4DtZnMI89LA4K5ucnZiDTx8I7FgDycEeaCOeZ5OQdPmmQrcIZwdNAPvCcUPpwXOsk6XYyMaN4xZA2w1p0WNo0OtbCwkDmigfn2Do3oBxwrosesfcAD78M6wbnCYScY5PfneckgEdC4f/9+hkFB4Io9CZ3dg1Y0/aDRkEdnWQ84+Ig3V+EdkFarFe/t9eAu2AUyJXkAL03Ao3Qzku/7gOctlUqxzzxA5zbI6ZBkmP1AZ2i9l5eXmXb40NNhSJDt39raiv0PAG82m3H4NNkc9ApdmqFxExxBRxGccvo6Z9JSEz8rYu/OFfYx/1k/fgM9la/BAgznnWD2Yz7D4tlzzxoBFLCBHMPB87Fm0P98h+s+L6P3PJmfn9etW7eihAObQLDDayJnZRpY6wSBlpaWboA/KXsGI0JTO2mcOWFM9vb2MmAEPS1ljwVgHXHOsTSZCw9szM3NqV6vx77BOWb9e407esJr8rBXnDXsgW/q0tABkqLkAt3Bc3uzrkqlEj4J9hN2EUHQfKfUWbK2tqZKpZLpQO3ia4QAMOOar4NFfPxpzuLP4dl9zm/2s0N9P7mPOqvODf3rdGJsuqTnHieDOOiVFN27yRbCOsmvZezQ/v5+6I9yuXwDZPq1h8NhpskYOktSBFtfptELY55fvy7n5+czWQE+zt6h3gMoXONFQZ4XySfA8KcongF0mZUq958D3DzT5xkhoptQQpxK6YsUZ5roFHQgAAUOEaCJ58DQe1qd/6OUiH5Lk7a9RBGJ6PNvfk5dHYCR5+H/RJylsUHmoFKcUT7rGUg+59kfDCu1DdRz8XmMwHA4bqpwfT1pNIOjhZPOPaFUkulDmTHugAvqxhhboszU2pDVzANwMpW1Wi3uz5pw+huROBwiFDDvzfNAeSAYAIB2ejHvsLCwEOfqMZ8YT67PHJI9IJvstAocObLHOM84TqwLwD6AEEqkG1+iqR7tlxRgjfMKPZJOcIPMDwXw3lhodXU1FDDzxtp0Wm25XA66R7FYDJDkTivrDAcJB4J3xmDhtOAslsvlCE4AZqAoeXCI9YwRgZJKwAjWAN1GCbbgYM/PzwcY9HH3jBXZHNa7C864ZwY8u4s4ZQ8hWOVUzUajET+Hlrm2thZRWvTbxsZG5r7sF+aNqDtC5o9x39vb08bGRgbsE1yhjTl6cmNjQ3Nzc6pWq5laKM/cE7TiHaEFuc6mSyzv6g4OQRMyY0595H7TovV5W5GnVUqT5lTu+DklslAYH5bsc+5zx89xXvOgmwBakmTP7FpeXo46UOrFCURw3Xa7HbWNUMtYI4B5OitzLw+oosPZ6wg0OtbPLJuKnUC3834u7vhOO8aDwBvPhDiQdEeSzOw0u8+7oAucHePdJp35AN0yn8n4UYQjPWq1Wub8Xq+nIis7q829A2jsFl2DXXBgOVqH7zB23rkbO+XC/CwtLQWYhFXU6XTi8zjnHjiGgs712eP4Fow99tPpmzTmwhZ5sIzvOYsLIO81ZoVCQdvb21peXg590u/3Qz8R3OMdoQ4uLS1pZWXlhedUeklJt9u9UVfMs0vK7NV+v5/RR37YvVM0KZHx9cyzcgQTbBrfswjBIfbZtAAYTZCYR/yEWbV1iAcg3DdiXAgGw8IiaJofH0na2dmJvgUkI5B8wy9sA5IkSYzfo0ePbujLWXJycpJZm9MA8K1btzJ6x2VWZpdGPgjU2Bd1uH2efAIMf4qCsnge/zhvpJh8nDh3FFFMDto8wsbmcgBAxmx1dTVT34AjyubF8cHh5Pm5Ho45TgLOO4sYoAVgIqsFIKVrINEcQJOkaDwDMJAmUTenZvK+RKUYD/4PPYHndKONcSdrw6ZbXl4Onj9NZAaDQShU3p8aGzq8wgOHssbzQU9kXJ3nTgMZSQEgUXDQE+DIAxoA4Ti1UraBEO+BEeM4A89mMn+lUinAdT5Kd35+rlqtlqnBoN7InSrGkPXCdz37KE2Ko8kq8p5kBHl/d8IJDpTL5fg3c0+0n7WBo0p2jTEB4LtRcoND105qyM7Pz4PymSRJ0NnYe61WK0DlaDQK0A6NlWxJpVIJEOgK3BvDMCc0tiGrRNMl1jfnbObBNOCU9yJqOBgM1O12wxiQrXaA7RQ9nCcEOqekTDfKq6tx99dSqRSUWklxL88IXF1daWdnJ2PsAHPVajWzTtFh7XZbFxcX2t/fD91F1hAAfHl5qfX19cx+RW/4mXzenIR5IegDrZn7A6DoHAgtmnXLu56fn2t3dzeyX+guov156iyGuFQq6fr6OpPd4+etVutG6/i8Q0Rg4ezsLA6fR9xBQb/h/LotIcJNUyMP9klZp4PAjoOPfGMHd+y9QQf3xbG9urrSxsZG6MRqtRoZ8tXV1QgGUNtL4I1glweuoFayjgk2ATTJkHsmNC9eH+4N1FwYC+Y4Pz6emfG9PTc36WLqTivPmncWC4VCNLNyKruzKNCbZMjm5+fjbGGo168i6Jijo6Owzbwj+oFygFmt91l77AECpfmx57q8H++G8O7S5CgixAOA8/OTxjzdbjdAM+vOj+S5vr5WuVzW4uJihkbn2UQCezwLmbv8s6PD0dmwhvI1wOh11g22mywgaxtdtrKyolu3bsVRDqxHbESz2XxhRhi7f3h4GP6OS6FQiDVSKpXievRbQJxWur29Hf9GP+WZENJ43re2tiLgyLXzAUICHrPeBR/Fx7FWq2Vow9PE12We3onuIRg7qyOqJ00KhYKOjo5C5yD4HP45fya6VUvj4ASBkhfJ3bt3Y71wn7w44M4HTPIZQAfsPgeFQiHq3V9VPgGGP0WZFcV0yS8O37Bej8T/cXr4HZE0j36haIhwSxOaU56bXCgUom6LDIg3jcGxxGEgklatVpUkSWxODDiL1wvBoWzgpAAOeC5JQRPzaCr1OkT4ULCMhdfXIVAJcDDZ9GwyMjAYHRQA94EmgpPP5+jGR/YFCpDT305OTlQqlaJ+DxBKIwcMDM48ANoNM/RRvpumaYBmQLekMF44EAAlB5CMOeOF4ffoPu8L6GA8MHSSoukMYIPxAhQBqgaDQRgj6Jw4O0479kAEzWegMGOQHSSQAfW6G683chqin1305MmTqIUhQAHAx5Hzw7EvLi4CMAKAyWiz51jT7hjgyJIloDFAuVwOg0wGmXsQdGFdcPgte82DShhBP7uJqD/7EqfIAxFez+f0HpwnhDo2b/bAe0LxI5gjSXfu3Il3Q8hKuUNBRuf4+DjeFeALs2FlZUVbW1uRdWAcWQtra2vxfTeYrnto1MH3AZRkiBcXFyOjiU4jUOH101DXCYJAmQIAoJvQo971j+dAx8EOQNAlztBAGFccH9YVa8/FQQ17gbXttFMyeThq/N+DS0iePgwYR9jjkmKd+XMyfp1OJ3Qi+5Lggu/l4XBcIwuLg+wCtCwH7wRIeV932DlaJF8j5OL0LXRQ3uZ6dsnrpJ12y7/d2aJGVcp2i3VWD/fmmqw/dD/ZDeaBbBLPDUgEJL+IajhL3D4wD+wxSXEUUJ5N4OLUQXTktOfJ1y/nhf0lZbOH0sSuSwrapTTJZhLc5J0kRd24+yh8hvniHuhXgIkf/+NlOtgj1iLlLvRGwFZ6AJmxoYbWy2iYc2zw2tpaUB8JihE0eJ4AJAmw5MfX/w/Vm+85w2JWd1vKWhzosBf39/cjwOD38nuie6krn1YTWywWwwdhj9ABXZrOnJCyuq/VamXqpGE7sQawg/nxYa8R3CMQ6DoB++D/z4NSxg9b/TLZORhXgNNpwM3HNw8EpwFJnic/X9i8V5VPgOFPUZiYWZz9aZL/LJFXwMPi4mI4IDisKHS+S2SISDeGio3oSozvO+UTcIGji4NcKIwPYgdMcg0pm62ktgQa6MrKStRY0UnTzxJiM+PI4ejT8YloHdkhwNRoNLrRrY33G40mZ0lRo8LPeD+nyjq9EpBMYTG/c8BINJTIGfVoNFqAQkI2VFI0tXA6LPRgQM9wONT6+npcT5p0VCMzxzUAOdDiyBDigDhVE6rv5eWlNjc3w9Hm3fIZt36/H7VV7qQw59D8PKsHeMbhwCC68cPxZD5p4EOWlPf1dQ8oceceeqVH8zEGZMR2d3fVbrdVKpUiKwj9D5B7dXWltbW1eB9qcFiXOFA+nzhWnpUGLJCB9BoTAi6eKWJe2Ju8C+uSWjoyHNR0sHe9XjRJkmiLzvwRHQfQepSTcURwdFZXVzOGnPdHvHbSu8ki+QONvUaKOeKQdIA3VCg6qTFuXJ/6SMAH9VmdTucGHZM5AwjhTNM0gfHH8fYsLaAcKir7bDQa19DikC4sLGh9fT0ox/6+zWYzun0eHx9nns91o0eNpQmoYE6h/XrdF5LPTEljEAidGfHsnrM9EHcyuAcO9eXlZaamhk7OBJV4XvR2p9PRwsKC6vW6isViHOnDexMM8WAdwTRAImsb+i5MBadlMv84/+zTWbVM0qSOh/ln3bl4sxQHEN7R0pkNCNkCxgJBL/NZp9zRaIc16E4m/6dukjMlya5KL3+ucl5onOIOI4170Kfs01lj6XN6dXWlZrM5FZR74MAzdg6683rQ7+HrlH9j89gXvBOCDaFUhO/t7u5KmnQuRccArpx1Q2AdRorP7+7urubm5uI4HT6L/RwMBgE2sLfUbvNeMAnyRzk5xfZFwH91dTVT35an8TrgK5fLEbjwbLjPkZTtqI/Odf3gAQ7GAJ+FuUEICAO+/Xf+Gc5MXlhYiEAh4zBrDHydEPBC8JnQ5/gj+b0OBZQ5QAfNApCI7zvKUaRJgLrdbk99Zpd8QINgnQu+A9d28fclkSBlKe3SJMD1SY3hz6h497YfVfgOToJnAsj24DijiAB+HhF3vj4LC5CHY4vD69Fwp2zg/OP0e40bKXZAFLxuHP/r6+twWrxph9fCeXdOwIYbfZ7Bu1h51gmg5xkdHG6MB++O4YPyAcByoAPIkiatiRkbfx7GYGlpKbJAAAcccVf8ToOTJjx5r+OiYByKFNEqiuQxRkRPocwB6KkN5PPMJ9+Zm5uLCCvvw+/cQWTs+P78/HxckzHzGjbotQ5AceAkxVhxLTIKGEfGlXWHEcLw8Uw4VBT8eyaANVUsFqPteLVajeyRj4UDVYC7AxjPTM7NjRvLVCqVAG1pmgZ45t/X19eq1+vhvNKdkf1HlgOQwzNQiE/0kYAFtBLWmFO/ut1urDEopB5pxOGkyQROL1n9PFUGY+5OmdeG9vv9MH6rq6uqVCo3mkasr69nKIjoLpxySdHYKF/Lxdw45RhKMc4xz0wG32l1AGSCG6xP9vnl5WXQgMn4M6atVisCVqwlrzP1To7osGKxqHq9nhkv1i7r152vcrkcdDfmxN/f1xzrZWVlJRxbnxMEhw4Q4XQnz0ISnPH17Vkh7g910Z1PF9f1XMOpqWRK2OPoQ9YQWYG8XUL/EtACAMAAIDDo9gAHCsdsFm0N/eE01nyjiGkOc5JMasMbjUamvAJxUOHrmc9gc/xcWq+ZxiZj1wlaei07VPNCYVxL+ap1Q4A/zuEkeOvZYN77eZkJPuMgKp+ZcDsyKwCBOM2cMeMdHbDAXEiSJPSQd0lm/0uKshVpAgQqlUqsbxzp4+PjoH0yRm6vCHjA8HG9kve/8LvIWhEAkLL6dTAYRH0d33P6+ouk0+noww8/jKyt1xVL2YY/+Dm8T/4cvGlCnaM/CyCIhnOSwleTsqCJwCtra1rGsFKpZJp+dTqdCMBKs/3lPFDydUTQhznBXuQTLQTuCDTQ9MeBIQFFBP8MIfggKc5+ngby8sJcc69pc3B1dRVU/Tyl2+c6TdOwf5eXlxlgSqb9E2D4MypM7MtQSvOSpwyxKVBQRDncmcGhQTnlN6VHRpzq485znsbjdY1kgdiAw+Ewc5xCtVqN5gpcC6cKIIcRp8sc10DReZ2Jny+Hc4PzQJYL5xNnkizc1dVVvBPOQ94BYHygM/F5lBbZLZxBz05JEyoAFFCcScbXsxDSpIkDkVuclHyNkI8X74RDxVjwbGRBJUXDEaKTgHEcKIwYoI25AKB7wwQizMvLy+GYe+aVJhNkTXiOdrsd1yVb6xQuntvXF5lN3odnYK1idJlLABERQf4QiPD3hi7k8+8RNuhcXBtgy9+Au+FwGB1FoSeinAliFIvFoCICAAk04EDxfE4D933KGqcznmcGGQuuRRaK8Wd9Mj44oGThnT6dp75x37yjgYEtFotBie50Ojo+Ps4YNnSUO90EHQqFgu7duxdrm3t65D3vYK6srGS6f7LXAHDu9EiKbD0gHTo82WKcO56LJgDe8IN6L/Y613DqGyAeWpDLcDgMeinOPfLw4cNM4ykHMp7VQmjP/+GHH2bu4YDO932hUMjUHzqFnH3oNc7IaDQKAAQ9mb2I0NkU8OlMGN4DnUxNKtcg2ICdoXaQhmis0dPT03BoyKRjb6j3pM6u3+9HYMT13zSBfo+tILPjgr7xIwz4rKQICOXnCL0p3aRPurPGZ9Aj7Kf5+XkdHR1lglBci/0EK2VhYSE6dL+qECQZDodqt9vBUmEePUs6TXyuT09PtbGxEY2rXFijzKH/TJocjYXkgSUsAoJ70mTfe9dnB+CAtaOjI/V6vch488x+vu/i4qJarVasLwAm9piAJyB0OBzq/fff19nZmcrlcuZcWHQOa5aaaWlyRAQBdJ6dbrb4C9Ty+zvNEvohsK/zAZF2u52pE2dNkcVGfH87gCAI4SCSfzebzchUedDQ1wz+jZdMTHsH1hwgkk65km401Jn2nN4oT1IwIqCXk2jI6wZAV6FQiNo896+51ovmgTFhfp+3bxD2P3Pmx7QgDgzz+8rnlSCHNJ4Xt7urq6vqdDpTQfnLyifA8KcorwIIpwlKw2mEni3AEcLgYJig5pD2d9oGzg7UBhx3sk5E1ojmAiCckuJZRc5Kg54HgKFmK09pJKpXKBSCLgb4wDHHQUMJ8tzS5PiNfL0cjnKappmGOzh4PAPOMU6DNMkCOmBZXV0NQ4Eih8MOrRYnFYeV98Kgs6GdxgSggpLmQB7nFmDiypPnJCvnmTecWeaeeggMNFFKnktSZhwAFYBIwAX1VcViMQw0TgXGEMeCGkMi3DhYXA9nh0gtBsoDH2Q9yZTybnkKErQjn1fWJNRb1iHz6XWIUAihQLqzghEiWwgw906oOHBzc3MZx5D7eCYGYJpvgsL1AGwEFAqF8WH3bgwxxE4Lgj5DHSNZQdYVmTjPruVBFc4G60gaZ0loDIEB8nqVNE0zUUqcG4/+e40s0X+i5Q5EoSp63e35+blarZaGw2Ec9cB7s749g9rr9QKcsyZxUo6PjyNrORqNIij1/7Z35kGW3dV9/55eNNNDL6/XWcVoAYFkm4DKGJmtMK6AbJJgV7BLxIWxk5SzoCQOoYxwnAInsmMcLyRlJ64kliEpK0Jl7IQIbCBBGJOYRQbJkrDHDGMFjZbp6e6Z7unp6e6Z7l/+uPfze+fefq810zM9/dR9PlVd/d599933u7/1bL9zUfAIkcQIhcdidXVVU1NTFY8EY8Ubo4AwLAw4CKfT09O6+eab8zhaWakmpvGPi5AKoaO/v1/f+ta3KokhpKoXBfCg+/BPPCXMx8eOHcv175mdnc3XZN/w1NSUTpw4Ubk+9TUxMZH39nD/CFLLy8s6fvx4JfoEBREFjT1WKIfMbd4jTjug0BKShsfVe+x9Ao9WPPvss7nf4JVpFQItNYVL7o0x5iNd/D6t5eXl/N26N8MbEb0csLpaPFttfn4+J7biPMYFIYU9PT05UcfTTz+d1/2N0N/fnw1pw8PDee6ibTHM1qNWW6IUAAAgAElEQVQJPN6bJjW9ePXzvaHDK2i0L8qWVMwzfh7xxlUe90O94VHFQEU5SG60tLSUvaoYSZi7+C5rEP3Ve/YxQHkvGxEOhw8f1sjISJ5jfNQORrxz54pnGx8+fDjLMIQNYzBhLCBb4GWcmJjI8sd6IEtxX3Uv48TERK6fubm5PO97I4akylzh1waSs3llnTGB7OMfUC9Vk9ewV5jEUq08+fSFwcHBfL/9/f25T9TnvFblPHz4cCWqob6GE3lQD0ulvvbs2ZPnO4yHgCEXvDdaqhqWfRj4c8Eaz3dpp3r52nkfvfKHPCqtffwdCnI8x7BD8QvORkAQ8dDxCd1k7xQeH4Sr3t7enKyFEE9c+0x8PgYcZYgFF+ssExshWD68jTh6SXkQsoGe30ZJYmLCY4QwwmKDcoeihuDHQoHiweLuQ4pQkFl48IYtLi5mxQKlAaEdIR1FDsUUIYVBzOTBwsk98BucS6iI91CePXs2x9xzr94ryIJIKChKPgIACxOKOHsiUCBQ5hGasYiyKDFx8OBulEZJWQDxoUSnTp3S7Oxstvj5xw8g9JKIBgENzwlCN/WIB4B29WGz3npPP+deUPbxwrKAs0eF7LEsIt76TPv39PTkPri6upoVA7xmMzMz+T4wBNCvfepnnru2uLioqakp9ff3a3JyMnsO8TCgQOGlRpGgj9f30zB2fci0pOwZRjmvZ9bzj9nwiit1gzDqk/5IzdAdsndKVQ/H5ORkZW+qVOzZYK8CocPcx9zcXK4P6OvrW5NNDmMRdUhdzM3NaWhoqBJmODAwUNlfhOLl90jOzMzkc3p7e3P9IFxRfuYyP8fRvwiP7u3tzXuf+T0v+CK8Mf+hXPBsRDzi9SiEa6+9Nl8fwWV4eDi358mTJ3Xu3DmNj4/n7+3fvz9/n7aZnZ3VyMjImudC+t+jLTHS+AdAUzcIp4cOHarUi9+/TDsSHXD99devSc/OmnHu3LmcmMYnYEipyDw9MTGxJowVhQNhUGoKNj09Pdlj39/fr/n5eY2MjOS51UcakIDEGxYxeLaz2HtFuH7vQJlY53z5gDncK/TrJXjAUEX7SMW48YnP6l5ljCIo2ikVCUn83rlWIb4XA4ro6Oho3mtL/RLmTB9ql/m0Hu4vrRVKpeZjJHp7e3Xw4EFJzWcM8jmvyW4KKHBcu55t0bcRfZR5ZmRkJHsw+R7Ct4+8oC8T0l0X8jGu45ljXSVU2nt8+f1z587lsODh4eGcg4B1D5nHJ9Diuigpfp99O7q6ujQ4OKiVlRVNT0+v6X9eEerr66skkfLX9uPC93MvBwHtSb4H7o128mOiHlrfysiwb9++nKSPOiQPgVT1yrdjcnKy4vVkzfflQG70eIOEVNQJW3egHjVDO4GPFvH7UJ8L+hC/1coziuHMlxX8WPBRJ17Wk1R5dvNGCcVwE/H72jYCQqvU3I/mlUCp+RBYBiwLEgIZEw9eHh8vzWTZaDRyJ8OL4feP+AGL54ZJ0GclRRll4cPjSDIDlDIf+sb5KHIoDF6w5XosmFjsWTzxfPqwLxQrhGSUDuqSiYMJzguXPj4dryB1g8cCSzeTBAu+T26DNZv7QAHintiDyD4q+gweKtrIhxQS9obAyx4c7hUh2oceshAjiPT09GShGCWzp6dHg4OD+bf8Yw94nMHQ0JCGhoZyqAnWNoQ1ftOHkCL8U0baEoEEZQZln31x1Bfv8TwsLCzkZxXRx+iTPiTYG0L8flYUexZtLOkc7+/vz8LFDTfcoKGhIa2uFo+pmJmZyQ9kpn6Wl5d18ODBrAx6oae+p4vsmfQRPLQ+AQR9GOUPYwkCEaHa3tp4/nz1AbsIkXgzUfBZLHbv3l1Z/G688UZJ1XkKpQgvz9zcXP58fHxc+/fvr4S6rKysrLF0YqF/4QtfmOcxEjIg1BMS7PdNM68Qmr53716trKxo7969ue/UvZM+TBRvvpmp0Whkb3Wj0dDZs2c1Pj6e9z0TlUBfZIwjYPGoAPYGDQ8Pa2hoKO859fVOyCP160PIn3rqKS0tLeWwfe/5w0BEffb19eVIhZtuuqlSp/5xIAhsPFPRCwL+uZcIFAiUUlMoGR0dzQIeRigszr4/YWTBECk1H0mDB4XQNrym9LF6uCnX9tsLWL9GRkZyBAKGE7w2tC+/5Q0q7fZnYVD00Qb1PUxeEENJ8d455napauT1odN1YdJ/n/mMOREjGqGF3jjBOsfcOzAwkEM2657+S6G/v1+NRiMbgRYXF7NH36zItsljnNp5P6gnjCXcX/15bJTRG/98tkWf3KT+XR/VVN+HiyernruB8s7NzWWDNsYW2gsDMOugf4wGfYu1AmMjBl7K4qOW/HpGXyWyaXFxUUNDQ5V5BIMdRlNkIB9dUM9k3AoMuqzRddnSKyl1xcDPOX58+3pmm4jvA8xLRICRLMZvxwDWCWSTVoYTsnZjWEZGoh18yGQ7MIDD/Py8Go1G7hvMv/X9xNxLo9FQX1+fDh48uEZ5RDb1+NDaF7zgBbmeT5w4sWZPZjvYmw6tFEpvLKqXy6933hs7MjJSaUP6+cWEt7YjFMNNpNUEd6kwUXohm0WXyYjf8QlofAYuLNsoYVjW6VgIJixMCNx79uzJAjUhYAjVxKxjpWHvifeq+Rjz0dHRvE+FfXVMLlwT5cCHf3rhwZcRYQJBGoGQiQHPG5M2gqhXsPFAIjxQX5TFZ5ND4cIyjrKBl9B7+aTm/go/OdEOTLootiiXfn9UPcQTiy7KKm0kKQsT3itD6Jbfg0byBxI+0Af8PRAqgoKM9xhLIosnbUs5qS88MYRE+hBM6hAvMAlk8DjSNrTb7t27K1kV+S2UHL93ilBEyobAxV41lEy8x9zz4mLxKAuMCYRGITh5A0Vvb2+26GEkwYuB5dmHX9M+fq8f/Zv+6D3g9DPqiXbmuj6zo6RK1l9Ce4aGhnK5WBxY6BEAperz8HhUC7/jGRsbU1dXlyYmJrIigufML8woVf77eNt9NlbqRmp6XPAgM156e3t1+vTpvA8KIwxjgP9+kfXzkg8/xJLPvLdr164smA0PD+eU7lNTU9kTjvDIfsO5ubnsaeReFxYWcrZTXwck+iFsDNjPQp14QYL5gf9PPvlkDu31VvA61CnbAXxZ8EgSpYBASt3XEwdJTWu1T/QjKRsoCAtmPeOxHITx8j2uwbipJ+PyyZEw8jF3EAJMBAZh30S6YERZWlrKYW+Mm1bQVxAUUcg8jCcfieL3b83MzOR28H0OAaxen97bJ1UFPIRgHtWBN1VqhuzSJj4jNuvTRh9XwT03Gg2NjIxkYyxzoI8yamfI9go+MoGPMgDWt4GBgYoBwhtmSQJCNAwgr0jVBBv8FmHgUlPRmZ2dzfMefYfoBcqMdxClCoMQ8gP3hVGCvYYohPXtAEQ+ESXCnM48gVBOXTE+/J5qjIPM1+08bJ7rrruuYuivy5be+8o4kZSNX76e6+3F8brhhM+np6crYdv890oU9cX4aTV/sZeYOWB4eDhHFUmqeDnb4R8zIjW9nn5/aKu6pMxsESBngh+jfu2W1mZ09Z7fAwcOVLzh6zE1NZUjY6S1kQtSda6oZ5z1awZrFNdtldDpYuqxHR2vGJrZ7WZ2xMyOmtldW12eS8HHrm8UBEVvYcIbSIiTt7j4QeH3XKFU+D1ehFb6zeJ+Px6CO0IFwj4TIRP3/Px8FgawtrCQY71nUcazx2smXC9EsdCjEHlPlI8hRxikjrBg+7hv6p5QJK8w8p8/koP4kBnCZ6Xm3r7FxcWcSczfk68Dn2CFyRHlxnubUDQpL0KTDytkYUGwJTyYCZs6YPKnPukj3kCBNZR+4jMM+kcvIOSSuAVBlbZBEfMKNYo6fQ7hmuQ1tJvfy+Kzo9JOCEMIXn7fjw9rMyse0+CVPxRYPNAoRSiCKysrlXAp77nluj09PTp48GDeB4elenBwMHs0aEvChSk/Cl1KSSMjI+rt7c2LFWGxQPgnxgPCl7wlHMGBtkKYQIFFMKkr6vX9cj77X33x53froXHsBWKhpH6mpqaygaeOvz8MFowbqVj0sd7TXsw7GH2Wl5dzeZjT8BjjDSaUqj5noDjSvtwrAt+ZM2eyxXtpaUn79u1TV1eX9u3bl/e8IjAiwI+OjuZ7IM05Y7O+WGNoWlhYqHh18SDQt+qeJ6np9USA279//7r7RBA+BwcHszcK/N43H9nBWOL3CRuXVMmiW08ixFjyIV/8DnMF1617sIkwoM6Yw2gTfmP37t06ffp0bkPqlv8+KuPChQs5FM3P83W4H+6XudXjFRbvIfL7n6g/b7X36fC94MhcQxvQnoSRLS8v5+Q5XtHG84nhDMMQkQbe23qpsM6ePn067+/0SbdQ5P2WjDrsO8Vrx17TuiLBWMcLJlXDT8+ePVvJBO0NGt5j6UO1iXrwXjzwXjiUW4RiDGCsydQxMglGFUlZ2WWbByHj3d3d2RDhQ8CJlmHNpW688YWIA4zmPlR5YWEhR17hEa3XZbt26O3tzQp+vS48lAtHArTLWIm800qpom8Q9cHc5MuA4Vpau6/R/7ZXWn0yNl/m9aA/w8TERK5Tys5WIo/3/BP5hgMEkI+ht7dXL33pSyuf06+YOy9Gxt+3b18Ow5Vah8z6e6pf0/c9v3/SezApE+GkG6WjFUMz65b065K+T9Itkt5uZrdsbakuHjpou9CMOq2sDggkCFhS0zoOfm+M36PDAsOEiTWN/TF4cdi3hYDLBLBnz55s3faTFvfDe7LWYQkjDI0QSSzfhHkQaoTAh4CIx4g9AgjLJDTxIapMykwqCPDEfDMBYKHjewwWFBjvsWDPGR48HxKIRZDvs0eMEMyenp7skTt//nwu34ULF3KInRfsee0FEIQA6hGPHe1pZjnrJcK01Ewwcf78+awwmFkO06H8eGVQyJj8UCTr+2t8qAceKaylCwsLWQHq6+vL1lKMEgiIhCIS2okHF6F6bm4u90X6tvdeeQ8jfdeH046Pj1eUSh9+6uuJxzkQGoyw6hcuwtbMimx0Q0NDefJlz+TMzExFiWk0GrmM1CPlwIiCQED9+/0B/f39WUj2nnws0ih53jBAOKpXeAnTwyBQ3yOGAo3Hyi86e/bs0cmTJyvZ8SRV9pliLZeUQzr9Nc6fP6/x8fE1lleUWB9K6rMKMs+wmGFNRhj3+/ooK/0B5c/vt6QfEY5EEg/ugfGO93R6elp9fX1ZaKd/eA88Aip9kLG7urpaySyH52tgYKCyB0kqlGyf3bKV4EXZ+/v7debMmZZ7iDzMKydPnsyZGX3bScrzfqPRqGQmRChhnuW1D6MD70nzmSKlpsFtYWEh76Uk+yhede9Zp89gQPHe++7uItET+0/pe/U94hhqaAtfd3W4N8JRvWcC6EckMpOqewTJRCxVhTWf0dLD3FVvaxJCMBexDjI2fIgiYaYYflDk6mW/WAiZpx18ZA/yhdR83l4r8PL5EHAULA+KLs/L5bqcRzitpOzBA5+d2HtuGK99fX1r9lkeOHAgh4TWwwC9IuDbfnJyMkcXeEWG+Qel348jFA/f75hPqE/2kdJv+b431GNY8snruMZzKRinTp3S6Oiourq6NDMzs0a58O/9OlA34vl5xRufMC57WZTxjpebpHKt5FvWIh9GWwelnXl4YWEhR1RIaz1lrfDzFtdC0eY++vv7K+sg3+P/6upqzgrsFWW/3kjKCcyA/ASScnKoixmXjAHqs5Xi5ufdut5w5MiR/Nqv1bOzs5X5jznmcuhoxVDSd0k6mlI6llJalnSfpLducZkuGh9WeDEwQfqF14d8YEVl8UbYYUFBEOMaPuwKC/jq6moOaeO6LLTemsy1Ef4RyAjxkaqJCxAE8NqxiBOyiFWmq6vYPI2gy0SCgIBwRf0Rvuf3RqIQsieO8vnwQvZYoVz5Rwx4LxT1xB+eCZRY7gOBm8ndL4p4CWmbvr6+PHmwYVtqPkjce9ew2BNzTz2hyLJw0N4IbbS395QQpohnkHpEWSGMy++pYELBOo1AzIZ4FizOp69Rt/Qv6sjv6fMJdBCAWGxRwOk/XgBAqKKf4xn3FkE8Byw+PrMrFvE9e/bkxRNLM8odk64fU4SgohigBHujBO8xFCCMsO+G/kkZvZfYG13IToeQ4D2ejGmUa59Jj31BeFO9R9l73PxjXjAEScrWay8YIEyhvAMPdUYBoT89++yza6y6hHF6MAiMjY3l9vX7KKnP+fl5jY+PZ+EXg0R3d3fF08a4pm/6MDHqFsUbxWxwcFCzs7P5GXYod3h0MJgQOpZSyomF2FuJIYOFnczM3d3dFSGG8hAC6AUjxl6j0ahk4PMQ0o9CSBhuOxBWeMyEr/9Dhw5JqnqHBwYG8jkI717A8HsVvYDqvb6sH/74+fPFcyHxKvrwaCJUuN/u7u4cxuW9xoR1dXd3V5KjEb1AtIIfU1Jzvmi3xnKfzDeMRY8X/hkXS0tLWfAcGxurKDUe6qIueHuPA+1KZti5ublsrPICMf2ftYXynjt3Lu9luhhvSitIbkZCEsK+vVLIvFnfLwncO8qczxjtoYwka5FUWXNZP33dSFUvN2X2ZWGu9Iq01FzffGZKv6VEahp3enqKR2ixtaWrq6uiaI6NjeV5n/He1dWVjQY8u3RoaKgi2DNP+GzYGDQIr+Rz9hKyZQQDyTXXXFNJINUKjAoYC+p92fdP772sh5p7RaaexMV7tfhN2mVubi6Pl/peT14jt/k292CYYE0eGBioZFVu1/883sgvNZMWoXij+NVDWb1zA+NP/Vp+HqCu6qGa9F+iVy5muxgykY8uqtMuKRC/68+rez/h5MmTWVbaKJ2uGB6U9KR7f7w8ljGznzCzh8zsoatasosAoeFSrXxM2FIzZBIlgUXUeweZDBkQCJ71kDG8YnyH73FdOpgPQUQZwIvDRMbgJy06+6ykZjiR35uGAC0pC4beeoPSwHkIvxynXri+T3mPcEcokM/shDDBXhUUUIQSL0DjQcSb5b2GCNcIPygh9Zh67oWkLcvLy3kSYeEirTaCFb+Hd+XMmTM5IQ6/75/PwyTI4kK9+f0MCHF4UbwiyeKI0QFFjjanX7GwrKwUiUXoW3hLaScmWfoFdYPhgQUf5REPMNncvMJFf0EAZNLGo4kCSygK5SMMGAGfhdpPtJSpr68v771DsEEom5+f18rKSk5Ag3eIxdCPKeofhZix6hVZFBws0Shz3oNCvRAOiHJI/TJGKacP3fN9nrBVqekl9sJ1d3e3xsfHczmhldWUOaKnpycvNEDYJWOf8c+4BPbZeU87v4vXGa87r6kTDC2SshLtBQb/EGvaeXl5OVtwfegzgh3CCpEFXmhDSeS7PtSO9mE+RLmgn/s68Iq/73t4sAnn80IBFnTObzQa+Z7WUwwPHDggqRkC6n/v+PHjuY/29vZqeno6h+hK1Yfae4+JpMqzVf194Y33SYZoI9YW+pvf7kAbUcahoSHt2rUre8uZ17xHDwMGD7L38xKGKwTM9cLv/MPSERzr/Zy+7YU/FDJJ+YHw/n7r3/XXRIFBQWLdO3DgQF5nmUtZT6WmcuG91cPDw9mYSnKVjUDkjo8uSSnl/b8YZ9nO0ArGX6PRyF4eFDIPAileYanwatCXG41GJbTcJ/8ZHh6u7NvES+mNxRhE6A+E9rPG1zNz8n3WXx+FgueWa/uQ1bGxsTyPDA8P599mfzF7FZeWlnKIvI/wYt1iHuU5oqzJPqHNrl27dOrUqZaPo/FgtMKoUPc61T3nfI4xHlqFMfq69J8TFcFcgcHCJ1UCjG/e4FCH7w8ODlYcCrTxxfRx5DAgdNLPzcvLy7n/AGOS7UDt9kl66nXq95COjo5Wkt6sB55yb6yo48dSvf688ocMJGlNFARrfCvj48VilxOHutmY2dsk3Z5S+rvl+3dIelVK6c4255+RdKTVZ0FHMCZp6jnPCraKaJ/OJtqns4n26WyifTqbaJ/OJtqns2nVPodTSuOtTl6PjT1g7+rxlKRr3ftD5bF2HEkpfefmFinYKGb2ULRP5xLt09lE+3Q20T6dTbRPZxPt09lE+3Q2V7J9Oj2U9CuSXmxm15vZNZLukPTxLS5TEARBEARBEATBtqKjPYYppQtmdqekT0nqlnRPSunxLS5WEARBEARBEATBtqKjFUNJSil9UtInL/L0/7iZZQkum2ifzibap7OJ9ulson06m2ifzibap7OJ9ulsrlj7dHTymSAIgiAIgiAIgmDz6fQ9hkEQBEEQBEEQBMEmE4phEARBEARBEATBDmfbKIZmdruZHTGzo2Z211aXZ6diZk+Y2aNm9rCZPVQeGzGzz5jZN8r/w+VxM7N/V7bZn5rZrVtb+u2Hmd1jZpNm9pg7dsntYWbvLM//hpm9cyvuZTvSpn0+YGZPlWPoYTP7fvfZ+8r2OWJmb3bHY/67wpjZtWb2oJl93cweN7N/Uh6P8dMBrNM+MX46ADPbbWZfNrNHyvb52fL49Wb2pbKuP1pmnJeZ7SrfHy0/v85dq2W7BRtnnfb5sJn9pRs/Ly+Px/y2BZhZt5l9zcweKN9v/vhJKT3v/1RkLP2mpBskXSPpEUm3bHW5duKfpCckjdWO/aKku8rXd0n6YPn6+yX9viSTdJukL211+bfbn6TXS7pV0mMbbQ9JI5KOlf+Hy9fDW31v2+GvTft8QNJ7Wpx7Szm37ZJ0fTnndcf8t2lts1/SreXrAUl/UbZBjJ8O+FunfWL8dMBfOQ76y9e9kr5Ujov7Jd1RHv8NSf+gfP0PJf1G+foOSR9dr922+v6e73/rtM+HJb2txfkxv21NO71b0r2SHijfb/r42S4ew++SdDSldCyltCzpPklv3eIyBU3eKukj5euPSPoBd/y/pIIvSmqY2f6tKOB2JaX0eUkztcOX2h5vlvSZlNJMSumUpM9Iun3zS7/9adM+7XirpPtSSksppb+UdFTF3Bfz3yaQUnompfTV8vUZSX8m6aBi/HQE67RPO2L8XEXKcTBfvu0t/5KkN0r6nfJ4ffwwrn5H0veamal9uwWXwTrt046Y364yZnZI0lsk/efyvekqjJ/tohgelPSke39c6y8QweaRJH3azP7EzH6iPLY3pfRM+fpZSXvL19FuW8Oltke009XnzjJc5x5CFRXts2WUYTmvUGFVj/HTYdTaR4rx0xGUYXAPS5pUoTB8U9LplNKF8hRf17kdys9nJY0q2mfTqLdPSonx83Pl+PlVM9tVHovxc/X5kKSfkrRavh/VVRg/20UxDDqH16aUbpX0fZLeZWav9x+mwrcdz0jpEKI9OpL/IOlGSS+X9IykX97a4uxszKxf0sck/WRKac5/FuNn62nRPjF+OoSU0kpK6eWSDqnwUrx0i4sUOOrtY2bfLul9KtrplSrCQ9+7hUXcsZjZX5M0mVL6k6v929tFMXxK0rXu/aHyWHCVSSk9Vf6flPR7KhaDE4SIlv8ny9Oj3baGS22PaKerSErpRLlgr0r6T2qGfUT7XGXMrFeF0vHbKaXfLQ/H+OkQWrVPjJ/OI6V0WtKDkr5bRQhiT/mRr+vcDuXnQ5KmFe2z6bj2ub0M0U4ppSVJv6UYP1vFayT9DTN7QkV4+xsl/VtdhfGzXRTDr0h6cZmt5xoVGy8/vsVl2nGY2QvMbIDXkt4k6TEVbUGmqndK+h/l649L+tEy29VtkmZdiFaweVxqe3xK0pvMbLgMy3pTeSzYBGr7bH9QxRiSiva5o8w+dr2kF0v6smL+2xTK/Rm/KenPUkq/4j6K8dMBtGufGD+dgZmNm1mjfN0n6a+q2Af6oKS3lafVxw/j6m2SPlt65Nu1W3AZtGmfP3dGL1Oxf82Pn5jfrhIppfellA6llK5TMSd9NqX0I7oK46dnvQ+fL6SULpjZnSo6Y7eke1JKj29xsXYieyX9XjGfqEfSvSmlPzCzr0i638z+jqT/J+mHy/M/qSLT1VFJC5J+/OoXeXtjZv9N0hskjZnZcUnvl/QLuoT2SCnNmNm/UiFASdK/TCldbMKUYB3atM8brEgRnlRk+f17kpRSetzM7pf0dUkXJL0rpbRSXifmvyvPayS9Q9Kj5T4cSfppxfjpFNq1z9tj/HQE+yV9xMy6VTgh7k8pPWBmX5d0n5ndLelrKpR7lf//q5kdVZGQ6w5p/XYLLot27fNZMxtXkX30YUl/vzw/5rfO4L3a5PFjhUIZBEEQBEEQBEEQ7FS2SyhpEARBEARBEARBsEFCMQyCIAiCIAiCINjhhGIYBEEQBEEQBEGwwwnFMAiCIAiCIAiCYIcTimEQBEEQBEEQBMEOJxTDIAiCoOMxsyfMLJnZh7e6LM9HzOwDZf1FKvIgCIKgJaEYBkEQBJtC+VDdf2pmf2xms2Z2zsy+YWa/aWY3b3X5NhMz+zCKmJn9Vu0zjv/SVpUvCIIgCOqEYhgEQRBcccxsWNIfS/oVSbepWG++IWlM0t+W9OatK91V5x1mdstWF2KzMbNrtroMQRAEwcYJxTAIgiDYDH5N0ivK178kaSSl9LKU0rCk75b0CCea2WvN7FOlV3HJzI6Y2T83s952Fzez65zn7cfc8UrIae2895jZ75rZgpk9Vv7uK8zsy2Z21sy+YGYvcdfC6/eEmf2Qmf15ed7n/XkXQbekn1vvBFfGD7hjnyuPfa7Feb9Yel7nzeyYmf2gmV1vZv+rvL+Hzey2Nr/1GjP7qpktmtkjZva62uevNLMHzGymbI9HzezH25T335T1NCvpo5dQJ0EQBEGH0bPVBQiCIAi2F2Y2JOmHy7ePSPqplFLe25ZS+qI79w2SPqNiPTot6QlJN0m6W9K3S3r7FSza3ZKelrQq6dskfUyFgXRGUq+k10i6p/zvOSjptyV9U1KfpNe1Oa8Vs5KmJf2Amb0qpfSly78NSdI/ljQlaVnS9ZLulfRM+VmS9Fck3WdmL0opXah99/clHS/Pe5mkT5rZjeEe7SwAAAOdSURBVCmlSTN7taQHJV0jaVLSURXtcI+ZjaSUfrlFOS5IOiZp6QrdWxAEQbAFhMcwCIIguNLcpKbh8Y+8UtiCny3PfVLSDSmll0j6YPnZHWb2HVewXH8o6UZJP1m+n5D032u/+Woz66t9r0fS30wp3SzpQ+uc14oLkt5fvv7XGy75Wo6quBcU8N0qQnVvVKGsSdJhSS9q8d13p5RuUaHYJkn9kt5Vfna3CqXw85IOpZS+TdLPlJ+938x21641J+klKaXvkPQjl3tTQRAEwdYRimEQBEFwpTH3+rmyYL6y/P8HKaVT5et73effecVKJX2iVFKfcMf+Z/n/mDs2UfvebEqJ876+znntuFfSo5K+x8yu1N7KT6eUllS9F+7P38veFt/9qCSllL6qQpmUCq+gJL2q/P96SctlFtO7y2MDKjytno+llI6X11vZwH0EQRAEHUKEkgZBEARXmiMqPGU9kl5rZvYcXsON4K/X7V4PrfOdufL/hRbH/PW8YisVIa5wYZ3zWpJSWjWzn1ahhP78c5y+2fdysTytwotbZ7X2/sQGrx8EQRB0GOExDIIgCK4oKaVZSfeXb18h6efNLBsizez1ZvbG8u1Xyv+3l5lMJelvucs91OZnJt3rG8vrvkFS4zKKvmmklB6Q9H8k3drmFO6He3mRml68K80Plb/xckkvLo89Vv6nPZ6W9L0ppdtSSrdJ+uuSPpRS+lrtWvFcxCAIgm1CKIZBEATBZvCPJKFE3CVpxsz+1MymVez1e1n52ftVeL2ulXTMzI5Iem/52X0ppUdbXTyldE7F4zAk6T1m9qAKj1zdo9VJ3LXOZ/+7/P92M/tDSV/U5q3Rv2pmj0v6vyo8imcl/fvys5+RdF5FCO8zZvY1M/uWpGcl/cImlScIgiDoAEIxDIIgCK44KaUZSa+W9M8kfbk8fJOKcMePSPp0ed7nJH1P+b5LRYbNv5D0LyT96HP8zI9J+iMViuVBSXeqdfhjR5BS+oKkT7T5+N3lZ/Mq6uCDkr6wSUV5i4oMot0q9j6+JaV0wpXxdZIeUFGvPH/xE2omoQmCIAi2IXblt30EQRAEQRAEQRAEzyfCYxgEQRAEQRAEQbDDCcUwCIIgCIIgCIJghxOKYRAEQRAEQRAEwQ4nFMMgCIIgCIIgCIIdTiiGQRAEQRAEQRAEO5xQDIMgCIIgCIIgCHY4oRgGQRAEQRAEQRDscEIxDIIgCIIgCIIg2OH8fxg9BzSye/oAAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# show the image using matplotlib's `imshow` function\n", "plt.figure(figsize=(15, 3))\n", "plt.imshow(image, origin='lower', cmap='gray', aspect='auto', vmin=vmin, vmax=vmax)\n", "plt.xlabel('Column Number')\n", "plt.ylabel('Row Number');" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "# optional: display image in DS9\n", "#ds9.set('frame 1')\n", "#ds9.set_np2arr(image)\n", "#ds9.set('scale zscale');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Take a look at the science image above. The supplied `spec_sci.fits` image is the red channel of a Keck/LRIS spectrum taken in 2014. The image has already been process to remove bias, and the image has been trimmed and rotated (what we will call \"rows\" are actually columns on the CCD). This science image is actually a combination of two individual exposures that has been filtered to remove **most** (but not quite all) cosmic ray events. \n", "\n", "Notice the vertical bands of light. These are the sky lines. The spectrum runs from about 5000 Angstroms on the left to about 10000 Angstroms on the right (you will determine the exact range below!). Notice that there is a significantly higher density of sky lines in the near infrared. \n", "\n", "Notice the two horizontal bands of light. The lower band is the target (a small galaxy), and the upper band is a second object in the slit. If you look closely at the lower band (the target trace), you will see a number of emission lines. You will use these to determine the target redshift." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Set up some variables for later use" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How big is the image? What are the pixel coordinates near the center of the image? Create 1-D and 2-D arrays with indices for each axis." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# get the a pixel coordinate near the image center\n", "ny, nx = image.shape\n", "cy, cx = ny//2, nx//2\n", "\n", "# create 1d arays of the possible x and y values\n", "xs = np.arange(nx)\n", "ys = np.arange(ny)\n", "\n", "# pixel coordinates for each pixel\n", "yvals, xvals = np.indices(image.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Find the rows dominated by sky light (exclude rows with object light, bad rows)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use the sky lines to map out lines of constant wavelength. To do this it is best to exclude portions of the image that are affected by light from the target trace, etc. \n", "\n", "To find the rows affected by the object traces, we can just marginalize over all the columns to determine the average profile and then note where this is significantly above the background average." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# compute the row averages and normalize so that the background is near 0 and the peaks are near 1\n", "rowaverage = image.mean(axis=1)\n", "rowaverage -= np.median(rowaverage)\n", "rowaverage /= rowaverage.max()\n", "plt.plot(ys, rowaverage)\n", "plt.xlabel('Row Number (y-coordinate)'), plt.ylabel('Normalized Row Average')\n", "plt.grid();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Notes\n", "* the plot above should show peaks in the rows containing object light\n", "* there are some bad rows near the edges of the image\n", "* other rows also show significant deviations from the median and should not be used" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Based on the plot above, record the row coordinates (`ys`) that are brighter that some threshold, say 20% of the profile peak. To be conservative, also include the 5 rows above and 5 rows below.\n", "\n", "Then create a 2D boolean mask that is `True` for pixels that are dominated by sky light and `False` for other pixels." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# find the rows with object light\n", "objrows = ys[rowaverage > 0.2]\n", "\n", "# add some margin to object rows\n", "ngrow = 5 # number of rows to include above and below object rows\n", "newobjrows = []\n", "for row in objrows:\n", " newobjrows.extend([row + i for i in np.arange(-ngrow, ngrow + 1)])\n", "objrows = np.unique(newobjrows)\n", "\n", "# mask to mark sky rows\n", "skymask = np.ones(image.shape, dtype=bool)\n", "skymask[objrows, :] = False\n", "\n", "# also exclude bad rows\n", "badrows = ys[rowaverage < -0.05]\n", "skymask[badrows, :] = False\n", "\n", "# rows with mostly sky background light\n", "skyrows = ys[skymask.mean(axis=1) == 1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With the object traces and bad rows masked, we can also check for cosmic rays and mask these as well. To do this we calculate the median value and standard deviation along each column and then reject pixels that are more than a certain number (typically 3-5) of standard deviations away from the median. These deviant pixels are then noted on the `skymask`." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "# median (unmasked) sky spectrum and standard deviation\n", "medspec = np.median(image[skyrows, :], axis=0)\n", "stdspec = np.std(image[skyrows, :], axis=0, ddof=1)\n", "\n", "# exclude deviant pixels from the skymask\n", "pull = (image - medspec) / stdspec\n", "w = pull > 5\n", "skymask[w] = False" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# show the mask\n", "plt.figure(figsize=(15, 3))\n", "plt.imshow(skymask, origin='lower', aspect='auto');" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "# optional: display the mask in DS9\n", "mask = np.zeros(image.shape)\n", "mask[skymask] = 1\n", "\n", "#optional use of ds9\n", "#ds9.set('frame 1')\n", "#ds9.set_np2arr(image)\n", "#ds9.set('frame 2')\n", "#ds9.set_np2arr(mask)\n", "#ds9.set('lock frame image');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Let's look at a small section of image up close" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "# cut out a small image \"stamp\" near the center of the frame\n", "row = cy\n", "col = cx\n", "hwidth = 50\n", "stamp = image[:, col - hwidth : col + hwidth]\n", "ys_stamp = yvals[:, col - hwidth : col + hwidth]\n", "xs_stamp = xvals[:, col - hwidth : col + hwidth]" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# show the image stamp\n", "plt.figure(figsize=(15, 5))\n", "extent = (xs_stamp.min(), xs_stamp.max(), ys_stamp.min(), ys_stamp.max())\n", "plt.imshow(stamp, origin='lower', cmap='gray', aspect='auto', vmin=vmin, vmax=vmax, extent=extent)\n", "plt.xlabel('Column Number')\n", "plt.ylabel('Row Number');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Recall the vertical bands are sky lines that mark lines of constant wavelength. Notice that these do not run perfectly parallel to the columns. Rather, the `x` coordinate for a given wavelength will be a function of the row number. \n", "\n", "As the plot should demonstrate, the lines of constant wavelength are slightly tilted with respect to the columns and there is also slight curvature. Thus we can approximate that the `x` coordinate for a given wavelength will be a quadratic function of the row number." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Note\n", "Because wavelength varies along a given column, if we simply plot the counts in each pixel against each pixel's column number then we get a range of values in each column:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot stamp values against column numbers\n", "plt.plot(xs_stamp.ravel(), stamp.ravel(), 'r.');\n", "plt.xlabel('Column Number'), plt.ylabel('Counts');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Map out lines of constant wavelength (determine the wavelength for each pixel)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can model the change in wavelength coordinate in arbitrary units, `dl`, from the wavelength at some reference pixel in terms of the offsets, `dx` and `dy` from the reference pixel.\n", "\n", "We can then write down a function that takes our model parameters (the slope and curvature of the lines of constant wavelength with respect to the columns), the offsets in the x and y coordinates, `dxs` and `dys`, respectively, and returns the wavelength offset from the reference pixel (i.e. `dx = dy = 0`)." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "def get_dl_model(params, dxs, dys):\n", " return dxs + params[0] * dys + params[1] * dys ** 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To see how this works, make a guess for the slope and curvature parameters and try plotting the wavelength offsets from our reference pixel (the one at `x=col` and `y=row`)." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# pixel offsets from the refernece pixel\n", "dxs = xs_stamp - col\n", "dys = ys_stamp - row\n", "\n", "# parameter guess\n", "guess = (-0.01, 0)\n", "\n", "# get the wavelength offsets and plot vs. counts\n", "dls = get_dl_model(guess, dxs, dys)\n", "plt.plot(dls.ravel(), stamp.ravel(), 'r.')\n", "plt.xlabel('Wavelength Offset')\n", "plt.ylabel('Counts');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You should notice that for the right choice of model parameters, the vertical scatter is significantly reduced. This demonstrates one way to decide on the best model parameters: find the model parameters that minimize the vertical scatter. But how do we measure this scatter?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fit a spline to the counts spectrum above" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given the data above (the wavelength offsets, `dls`, and the stamp count values) we can fit a spline to the resulting curve above and then subtract this off from the curve and measure the scatter. Notice that for every column we get a lot of samples (`ny` to be precise). Thus we can set the spline knots every pixel (or even closer).\n", "\n", "We can define a function that will return the best fit spline object (in the least-squares sense) for our data." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "def get_profile_spl(dls, stamp):\n", " # need to sort the data (and weights) so that the x values are increasing\n", " x, y = dls.ravel(), stamp.ravel()\n", " weights = np.sqrt(np.abs(y)) # not technically optimal for coadded data, but ok\n", " wsort = x.argsort()\n", " x, y, weights = x[wsort], y[wsort], weights[wsort]\n", "\n", " # set locations for spline knots\n", " t = np.linspace(x.min() + 1, x.max() - 1, np.int(x.max() - x.min()))\n", " spl = LSQUnivariateSpline(x, y, t, weights)\n", " return x, y, spl" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lets see how good this looks." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# fit a spline to the data and plot\n", "x, y, spl = get_profile_spl(dls, stamp)\n", "\n", "fig, axarr = plt.subplots(2, sharex=True)\n", "axarr[0].plot(x, y, 'r.')\n", "axarr[0].plot(x, spl(x))\n", "axarr[1].plot(x, y - spl(x), 'r.')\n", "plt.ylim(-200, 200)\n", "plt.xlabel('Wavelength Offset');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Notice\n", " * the counts may vary along the slit (both because of real spatial variations and, more importantly, we have not accounted for efficiency variations along the slit), so there may be some biased scatter\n", " * the parameter guess above may be imperfect resulting in systematic residuals (we can minimize these below)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Minimize residuals from the spline model to determine the best tilt/curvature model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We need a metric to determine how well the spline fits the data. We could take a simple sum of the squares of the residuals or weight these by the expected poison noise to determine a $\\chi^2$ value." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "def check_dl_model(params, dxs, dys, stamp):\n", " dls = get_dl_model(params, dxs, dys)\n", " x, y, spl = get_profile_spl(dls, stamp)\n", " chisq = np.sum((stamp - spl(dls)) ** 2 / np.sqrt(np.abs(stamp)))\n", " return chisq / (stamp.size - len(params))" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "111.18612127340944" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# see how good our guess is\n", "check_dl_model(guess, dxs, dys, stamp)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we just need to change the model parameters to minimize the residuals. We can use `fmin` for this." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "the hacked version of LSQUnivariateSpline is VERY slow...this cell might take a minute or more to run!\n", "Optimization terminated successfully.\n", " Current function value: 50.174574\n", " Iterations: 27\n", " Function evaluations: 54\n", "best model parameters are [-1.30240870e-02 -2.58517988e-05]\n" ] } ], "source": [ "if SPLINE_WORKS is False:\n", " print(\"the hacked version of LSQUnivariateSpline is VERY slow...this cell might take a minute or more to run!\")\n", "\n", "# get the best model parameters for this stamp\n", "params = fmin(check_dl_model, guess, args=(dxs, dys, stamp))\n", "print(\"best model parameters are\", params)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can plug in these parameters for your `guess` above and re-run the cells to check the residuals if you want." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Find the lines of constant wavelength at other parts of the 2-D image" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The tilt/curvature between lines of constant wavelength and the columns can vary across the spectrum. So far we have only determined it for a small portion of the image. Now we can apply the same techniques to map out the relative wavelengths shifts across the image.\n", "\n", "To do this, we need to pick a width (number of columns) within which we can expect to get enough sky lines to do the mapping. Considering the left side (shorter wavelength or \"blue\" portion) of the spectrum, we can set the width at about 400 columns. (Note it is possible to vary the width across the image to take advantage of the extra wavelength information in the near-IR, but this is not required)." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 200, 600, 1000, 1400, 1800, 2200, 2600, 3000, 3400, 3800])" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# define the column centers for the stamps\n", "hwidth = 200 # width = 2 * hwidth + 1\n", "cols = np.arange(hwidth, nx, 2 * hwidth)\n", "cols" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As above, map out the wavelength shits along columns, one stamp (image section) at a time. It is best to use the sky mask we defined above and possibly some outlier rejection to fend off deviant pixels.\n", "\n", "Notice that the code cell below will keep track of the wavelength offsets for all columns, but really we only need the central columns defined above.\n", "\n", "#### Note: the code below might take some time to run. If you are using the hacked version of LSQUnivariateSpline, you should probably skip this cell and load the solution below" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "scrolled": true }, "outputs": [], "source": [ "# reference wavelength offsets to the center row\n", "row = cy\n", "\n", "# define a 2D array to hold the wavelength offsets for each pixel\n", "lambdas = np.zeros(image.shape) \n", "\n", "# loop over each central column\n", "for col in cols:\n", " print('col = ', col)\n", " \n", " # slice the data\n", " inds = np.s_[:, col - hwidth : col + hwidth]\n", " stamp = image[inds]\n", " mask = skymask[inds]\n", " dys = yvals[inds] - row\n", " dxs = xvals[inds] - col\n", "\n", " # initial fit\n", " params = fmin(check_dl_model, guess, args=(dxs[mask], dys[mask], stamp[mask]))\n", " \n", " # check for outliers\n", " dls = get_dl_model(guess, dxs, dys)\n", " x, y, spl = get_profile_spl(dls, stamp)\n", " model = spl(dls)\n", " pull = (stamp - model) / np.sqrt(np.abs(model))\n", " w = (pull < 5) & mask\n", " params2 = fmin(check_dl_model, params, args=(dxs[w], dys[w], stamp[w]))\n", "\n", " # record\n", " lambdas[inds] = get_dl_model(params2, dxs, dys) + col\n" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "if SPLINE_WORKS is False:\n", " lambdas = pickle.load(open(os.path.join(data_dir,'lambdas.dat'), 'rb'))\n", "\n", "# **********************\n", "# save the lambdas\n", "#pickle.dump(lambdas, open('lambdas.dat', 'wb'))\n", "# **********************" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Look at a few rows and see how the wavelength offsets vary with column number. We can fit a low-order polynomial to these." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# just plot offsets for a few of the rows across the image\n", "order = 3\n", "for y in range(10, ny, 50):\n", " p = plt.plot(cols, lambdas[y, cols] - xs[cols], 'o')\n", " c = np.polyfit(cols, lambdas[y, cols] - xs[cols], order)\n", " plt.plot(xs, np.polyval(c, xs), c=p[0].get_color(), label='row {}'.format(y))\n", "plt.legend()\n", "plt.xlabel('Column Number')\n", "plt.ylabel('Wavelength Offset from Middle Row');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You may notice that the tilt (the wavelength difference in a given column between the first row and the last row) increases as we move to larger column numbers. Make sure the order is large enough to follow the trends without over fitting the data (i.e. there should not be noticeable wiggles between data points).\n", "\n", "Now we can fit for every row. We could do a 2D fit to all the data at once, but simply fitting row by row works here." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "# get the lambda values for the entire image (fit)\n", "lambdafit = np.zeros(image.shape)\n", "for y in range(ny):\n", " c = np.polyfit(cols, lambdas[y, cols] - xs[cols], order)\n", " lambdafit[y, :] = np.polyval(c, xs) + xs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now for the fun part! We have wavelength values relative to the central row (in arbitrary units) for every pixel on the image, which means we can do some cool tricks." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model the 2D sky" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We want to measure the light from our target, not the night sky, so lets make those sky lines disappear! We can do a 2-D spline fit to the sky background pixels to create a sky model. As above, we have about `ny` measurements in each wavelength bin, so we can set the knot points along the wavelength direction about every pixel (or even less!). We do not expect strong variations in the sky brightness along the slit, so we can simply fit a low order polynomial along this direction (which we will approximate for now using the y-coordinates)." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "# function to fit a 2D spline\n", "def fit_sky(xvals, yvals, image, ky=1, dx=0.5):\n", " # select knot points in the x (wavelength) direction\n", " tx = np.arange(xvals.min() + 2, xvals.max() - 2, dx)\n", " \n", " # select knot points in the y (spatial) direction\n", " ty = [] # if there are no knots, the fit will be a poly nomial of degree ky\n", " \n", " # fit the 2D spline\n", " return LSQBivariateSpline(xvals.ravel(), yvals.ravel(), image.ravel(), tx, ty, ky=ky)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "# use the (unmasked) sky background pixels and fit the 2D spline\n", "skyfit = fit_sky(lambdafit[skymask], yvals[skymask], image[skymask])\n", "\n", "# evaluate the 2D sky at every pixel\n", "sky = skyfit.ev(lambdafit, yvals)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "# plot the image, sky model, and differece (and/or display in DS9)\n", "#ds9.set('frame 1')\n", "#ds9.set_np2arr(image)\n", "#ds9.set('frame 2')\n", "#ds9.set_np2arr(sky)\n", "#ds9.set('frame 3')\n", "#ds9.set_np2arr(image - sky);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice how well the object trace stands out now. Analogous to the sky lines, the object trace is slightly tilted with respect to the rows. Thus to extract our spectrum we need to map out the y-values where the trace is centered as a function of column number." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Locate object trace" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are actually two object traces in our data, so let's simultaneously find the centers of each of these. The object that makes the lower trace is actually a galaxy, but we can approximate its distribution of light along the slit with a Gaussian function, and we can do the same for the other object. Thus our profile model will be the sum of two Gaussians. " ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "def get_profile_model(params, ys):\n", " a1, cy1, sigma1, a2, cy2, sigma2 = params\n", " \n", " p1 = np.exp(-(ys - cy1)**2 / 2 / sigma1**2) \n", " p1 /= p1.max()\n", " \n", " p2 = np.exp(-(ys - cy2)**2 / 2 / sigma2**2) \n", " p2 /= p2.max()\n", "\n", " return a1 * p1 + a2 * p2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have our model, we can make a guess at the parameters and check by eye how well these represent the data. Change the guess until the model is a reasonably close match to the data (this need not be perfect)." ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# get the median for each row\n", "profile = np.median(image - sky, axis=1)\n", "\n", "# starting guess for the profile model\n", "guess = (80, 35, 3, 80, 155, 3)\n", "model = get_profile_model(guess, ys)\n", "\n", "plt.plot(ys, profile)\n", "plt.plot(ys, model);\n", "plt.xlabel('Row Number')\n", "plt.ylabel('Median Row Counts');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Of course, we can improve the model by minimizing the model residuals (or $\\chi^2$/dof)." ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "def get_profile_chisq(params, ys, profile):\n", " model = get_profile_model(params, ys)\n", " return np.sum( (profile - model)**2 / np.sqrt(np.abs(profile)) ) / (profile.size - len(params))" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n", " Current function value: 2.582448\n", " Iterations: 294\n", " Function evaluations: 460\n", "best fit parameters are [ 79.44334661 36.23045029 3.53395051 89.76771819 154.95509459\n", " 2.68461778]\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# fit for the best model\n", "params = fmin(get_profile_chisq, guess, args=(ys, profile))\n", "print(\"best fit parameters are\", params)\n", "\n", "model = get_profile_model(params, ys)\n", "plt.plot(ys, profile)\n", "plt.plot(ys, model)\n", "plt.xlabel('Row Number')\n", "plt.ylabel('Median Row Counts')\n", "plt.grid();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We could fit a more complex model that accounts for the vertical shift of the traces with column numbers, but here we simply divide the image up into sections by wavelength and find the Gaussian centroids in each of these." ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n", " Current function value: 0.366600\n", " Iterations: 546\n", " Function evaluations: 855\n", "Optimization terminated successfully.\n", " Current function value: 1.685744\n", " Iterations: 705\n", " Function evaluations: 1100\n", "Optimization terminated successfully.\n", " Current function value: 1.233543\n", " Iterations: 366\n", " Function evaluations: 581\n", "Optimization terminated successfully.\n", " Current function value: 1.765079\n", " Iterations: 344\n", " Function evaluations: 540\n", "Optimization terminated successfully.\n", " Current function value: 3.269195\n", " Iterations: 313\n", " Function evaluations: 505\n", "Optimization terminated successfully.\n", " Current function value: 2.536442\n", " Iterations: 382\n", " Function evaluations: 600\n", "Optimization terminated successfully.\n", " Current function value: 2.471912\n", " Iterations: 315\n", " Function evaluations: 505\n", "Optimization terminated successfully.\n", " Current function value: 2.824128\n", " Iterations: 314\n", " Function evaluations: 508\n", "Optimization terminated successfully.\n", " Current function value: 3.543920\n", " Iterations: 256\n", " Function evaluations: 417\n", "Optimization terminated successfully.\n", " Current function value: 3.341981\n", " Iterations: 257\n", " Function evaluations: 421\n", "Optimization terminated successfully.\n", " Current function value: 3.224893\n", " Iterations: 252\n", " Function evaluations: 407\n", "Optimization terminated successfully.\n", " Current function value: 3.017439\n", " Iterations: 325\n", " Function evaluations: 530\n", "Optimization terminated successfully.\n", " Current function value: 3.589273\n", " Iterations: 288\n", " Function evaluations: 466\n", "Optimization terminated successfully.\n", " Current function value: 4.645856\n", " Iterations: 305\n", " Function evaluations: 500\n", "Optimization terminated successfully.\n", " Current function value: 5.627596\n", " Iterations: 317\n", " Function evaluations: 507\n", "Optimization terminated successfully.\n", " Current function value: 4.259348\n", " Iterations: 281\n", " Function evaluations: 462\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/chummels/miniconda3/lib/python3.7/site-packages/ipykernel_launcher.py:8: RuntimeWarning: invalid value encountered in true_divide\n", " \n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Warning: Maximum number of function evaluations has been exceeded.\n", "Optimization terminated successfully.\n", " Current function value: 7.197677\n", " Iterations: 372\n", " Function evaluations: 590\n", "Optimization terminated successfully.\n", " Current function value: 5.323692\n", " Iterations: 391\n", " Function evaluations: 609\n", "Optimization terminated successfully.\n", " Current function value: 4.998407\n", " Iterations: 255\n", " Function evaluations: 419\n", "Optimization terminated successfully.\n", " Current function value: 9.726273\n", " Iterations: 344\n", " Function evaluations: 559\n", "Optimization terminated successfully.\n", " Current function 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Function evaluations: 662\n", "Optimization terminated successfully.\n", " Current function value: 18.868989\n", " Iterations: 411\n", " Function evaluations: 664\n", "Optimization terminated successfully.\n", " Current function value: 13.738735\n", " Iterations: 359\n", " Function evaluations: 572\n", "Optimization terminated successfully.\n", " Current function value: 6.686031\n", " Iterations: 384\n", " Function evaluations: 622\n", "Optimization terminated successfully.\n", " Current function value: 5.095648\n", " Iterations: 490\n", " Function evaluations: 795\n", "Optimization terminated successfully.\n", " Current function value: 25.420442\n", " Iterations: 372\n", " Function evaluations: 591\n", "Optimization terminated successfully.\n", " Current function value: 22.220226\n", " Iterations: 453\n", " Function evaluations: 702\n", "Optimization terminated successfully.\n", " Current function value: 11.437006\n", " Iterations: 491\n", " Function evaluations: 774\n", "Optimization terminated successfully.\n", " Current function value: 10.264501\n", " Iterations: 343\n", " Function evaluations: 552\n", "Optimization terminated successfully.\n", " Current function value: 9.764020\n", " Iterations: 395\n", " Function evaluations: 630\n", "Optimization terminated successfully.\n", " Current function value: 15.026831\n", " Iterations: 373\n", " Function evaluations: 602\n", "Optimization terminated successfully.\n", " Current function value: 12.935445\n", " Iterations: 455\n", " Function evaluations: 716\n" ] } ], "source": [ "# fit the profile centered at these columns\n", "hwidth = 50\n", "cols = np.arange(hwidth, nx + 1, 2 * hwidth)\n", "\n", "ycenter = np.zeros( (len(cols), 2) )\n", "for icol, col in enumerate(cols):\n", " stamp = (image - sky)[:, col - hwidth : col + hwidth]\n", " profile = np.mean(stamp, axis=1)\n", " params = fmin(get_profile_chisq, guess, args=(ys, profile))\n", " ycenter[icol, :] = params[[1, 4]]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lets see how the y-center of our target's trace varies with column number. We can fit a polynomial to the trend and use this to estimate the y-center at any column." ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# fit the relation with a polynomial\n", "ind = 0 # which trace 0 or 1?\n", "t_order = 3\n", "trace_c = np.polyfit(cols, ycenter[:, ind], t_order)\n", "fig, axarr = plt.subplots(2, sharex=True)\n", "axarr[0].plot(cols, ycenter[:, ind], 'ro')\n", "axarr[0].plot(xs, np.polyval(trace_c, xs), 'r')\n", "axarr[0].axes.set_ylabel('y-coordinate')\n", "axarr[1].plot(cols, ycenter[:, ind] - np.polyval(trace_c, cols), 'ro')\n", "axarr[1].axes.set_ylim(-0.5, 0.5)\n", "axarr[1].axes.set_ylabel('Fit Residual (pixels)')\n", "plt.xlabel('Column Number');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The typical residuals should be a small fraction of a pixel. \n", "\n", "**Note** we are fitting a Gaussian model to a non-Gaussian (galaxy) profile, so the center value may be systematically offset.\n", "\n", "Now we can get the pixel offsets from the object trace for every pixel in the image. To properly account for non-linearities along the trace (i.e. the pixel scale may be 0.1 arcsec per y-pixel on the blue side but 0.12 arcsec per pixel on the red side) we could use the second object trace and the relative wavelength information, but here we will simply assume a simple linear relation." ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": [ "# position offsets from the object trace (defined to be at slitpos = 0)\n", "slitpos = yvals - np.polyval(trace_c, yvals)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spatial profile of the target" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, determine the spatial profile of the target and stretch this over the whole 2D image to make a weight map for later use.\n", "\n", "The brightness of the target will vary as a function of wavelength, so to determine the profile we can normalize the counts in each wavelength bin using the counts at the trace center (or our approximation there of)." ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [], "source": [ "# subtract the sky\n", "nosky = image - sky\n", "\n", "# normalize to the pixel brightness at the trace center\n", "yinds = (np.round(np.polyval(trace_c, xs))).astype(int)\n", "normed = nosky / nosky[yinds, xs]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fit a spline to the normalized profile" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "# get 1D arrays with the positions along the slit and the normalized counts\n", "pos = slitpos.flatten()\n", "counts = normed.flatten()\n", "\n", "# sort by slit position\n", "sort_inds = pos.argsort()\n", "pos, counts = pos[sort_inds], counts[sort_inds]\n", "\n", "# fit a spline to model the spatial profile\n", "t = np.linspace(pos.min() + 2, pos.max() - 2, ny // 2) # spline knot points\n", "profile_spl = LSQUnivariateSpline(pos, counts, t)\n", "\n", "# remove outliers and re-fit\n", "diff = counts - profile_spl(pos)\n", "sample = sigma_clip(diff)\n", "w = ((np.abs(diff) / sample.std()) < 5) & np.isfinite(diff)\n", "profile_spl = LSQUnivariateSpline(pos[w], counts[w], t)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot the target profile\n", "#plt.plot(pos, counts, 'r.')\n", "plt.plot(pos, profile_spl(pos) )\n", "plt.xlim(-40, 50)\n", "#plt.ylim(-2, 4)\n", "plt.grid();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculate the profile for every column to make a 2D profile image." ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "# create the profile image\n", "profile_image = profile_spl(slitpos)\n", "\n", "# de-weight negative values in provile_image\n", "profile_image[profile_image < 0] = 0" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [], "source": [ "# display the result in ds9\n", "#ds9.set('frame 4')\n", "#ds9.set_np2arr(profile_image);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Extract the target spectrum (basic version)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have located the target trace, the sky background has been removed, so all that is left to do is sum up the counts in each wavelength bin in some aperture. We can pick any size wavelength bin we like, but at this phase it is common to use the native pixel scale to set the binning. If the target extends over many pixels in the spatial direction or the tilt/curvature of the lines of constant wavelength is large, you may have to take into account the changes in wavelength with row number. But for the supplied data the change in wavelength is not significant along the short extraction window, so we can simply sum along columns." ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# select which rows to sum\n", "w = (slitpos > -10) & (slitpos < 10)\n", "ymin, ymax = yvals[w].min(), yvals[w].max()\n", "\n", "# calculate the sum\n", "spec_basic = nosky[ymin:ymax, :].sum(axis=0)\n", "\n", "# sky background\n", "skybg_basic = sky[ymin:ymax, :].sum(axis=0)\n", "\n", "# plot the extracted spectrum\n", "plt.plot(xs, spec_basic);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Optimal extraction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Analogous to PSF-fitting in 2D image data, we can weight the extraction using the spatial profile we calculated above to limit the noise from pixels that are dominated by the sky background. Instead of fitting a model to the data however, we will simply calculate a weighted average in each wavelength bin. Using our basic extraction above we can determine the bias between the sum and the weighted average and then use this to re-scale the weighted average, because ultimately we want the sum of the counts from the target, not the average in each wavelength bin." ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# calculate the weighted average (for each column)\n", "spec_opt = (nosky * profile_image)[ymin:ymax, :].sum(axis=0) / profile_image.sum(axis=0)\n", "\n", "# calculate the bias factor needed to scale the average to a sum\n", "bias_factor = np.median(spec_basic / spec_opt)\n", "spec_opt *= bias_factor\n", "\n", "# same for the sky background\n", "skybg_opt = (sky * profile_image)[ymin:ymax, :].sum(axis=0) / profile_image.sum(axis=0)\n", "bias_factor_sky = np.median(skybg_basic / skybg_opt)\n", "skybg_opt *= bias_factor_sky\n", "\n", "# plot the extracted spectrum\n", "plt.plot(xs, spec_basic, label='basic extraction')\n", "plt.plot(xs, spec_opt, label='optimal extraction')\n", "plt.legend()\n", "#plt.ylim(0, 2000);\n", "#plt.yscale('log')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you look closely you should see that the basic extraction is noisier than the optimal." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Wavelength solution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Up to now we have been working with relative wavelengths. Now we will use the emission lines to calibrate these into absolute wavelengths. \n", "\n", "There are several ways to do this. One method is to match the sky lines to a published atlas to determine the identity of several lines and then use the known wavelengths of these to determine the relative to absolute mapping function.\n", "\n", "Instead of working with individual lines, we can instead find a mapping that matches our extracted sky spectrum to a reference spectrum with a calibrated wavelength axis. Ideally this reference should be matched in spectral resolution (and spectral response) to the data at hand. This module includes such a reference spectrum, which is a version of the [UVES high-resolution night sky spectrum](https://www.eso.org/observing/dfo/quality/UVES/pipeline/sky_spectrum.html) convolved to roughly match the resoultion of the Keck/LRIS data." ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [], "source": [ "# re-scale the sky spectrum so that the max counts are around 1 for convience\n", "bgspec = skybg_opt / skybg_opt.max()" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [], "source": [ "# load the reference sky spectrum (conviently convolved to approximatley the spectral resulution of our data)\n", "skyref = np.genfromtxt(os.path.join(data_dir,'UVES_nightsky_lowres.dat'), names='wav, flux')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the reference and extracted sky spectra on two separate plots and adjust the wavelength range of the reference spectrum until the two roughly match. This will help you see the mapping between column numbers and wavelengths." ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# compare the reference spectrum and the extracted sky spectrum\n", "fig, axarr = plt.subplots(2)\n", "axarr[0].plot(skyref['wav'], skyref['flux'])\n", "axarr[0].axes.set_ylabel('Flux Density ($10^{16} f_{\\lambda}$)')\n", "axarr[0].axes.set_xlabel('Wavelength ($\\AA$)')\n", "\n", "# adjust the wavlength range to approx. match the extracted sky spectrum range\n", "axarr[0].axes.set_xlim(5100, 10400)\n", "\n", "# plot the extracted sky spectrum \n", "axarr[1].plot(xs, bgspec)\n", "axarr[1].axes.set_ylabel('Counts')\n", "axarr[1].axes.set_xlabel('Column Number');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By scaling the extracted counts to roughly match the reference spectrum and shifting/scaling the column number values to match the reference spectrum wavelengths, we can determine column number to wavelength mapping.\n", "\n", "Let's define a function that takes our column numbers and counts spectra and returns a spectrum with wavelengths and fluxes that roughly match the reference spectrum. Note you usually match a model to the data, but here we go the other way.\n", "\n", "If we fit the extracted spectrum over a limited wavelength range, we can approximate the mapping with a quadratic function. " ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [], "source": [ "def model_sky(params, dx, counts):\n", " wav0, a, b, scale, c0 = params\n", " \n", " dtype = []\n", " dtype.append(('wav', float))\n", " dtype.append(('flux', float))\n", " model = np.zeros(counts.shape, dtype=dtype)\n", " model['wav'] = wav0 + a * dx + b * dx**2\n", " model['flux'] = c0 + scale * counts\n", " \n", " return model" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# roughly match column values to wavelength values\n", "col = 2000\n", "wav = 7730\n", "params = (wav, 1.2, 0, 4, 0)\n", "model = model_sky(params, xs - col, bgspec)\n", "\n", "plt.plot(model['wav'], model['flux'], label='Extracted Sky Background')\n", "plt.plot(skyref['wav'], skyref['flux'], label='Reference Sky Spectrum')\n", "plt.xlabel('Wavelength ($\\AA$)')\n", "plt.ylabel('Counts or Flux')\n", "plt.xlim(5000, 10200)\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You may find that over the full wavelength range the quadratic mapping is not sufficient. One way to handle this would be to adopt a higher order mapping function. Instead, we can use the quadratic function to find the mapping over a number of sections of limited wavelength range.\n", "\n", "The procedure is similar to what has already been done above: make an initial guess for the model parameters and then minimize the difference between the scaled model and the reference spectrum." ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [], "source": [ "# we must interpolate the reference spectrum to the model wavelengths\n", "skyref_interp = interp1d(skyref['wav'], skyref['flux'], bounds_error=False)\n", "\n", "def get_sky_difference(params, dx, specdata, skyatlas):\n", " model = model_sky(params, dx, specdata)\n", " \n", " # residual\n", " res = model['flux'] - skyref_interp(model['wav'])\n", " \n", " return np.sum(res**2 / np.sqrt(np.abs(model['flux'])))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Select sections of the extracted spectrum to fit. Since there is a lower density of lines in the blue (left) portion of the spectrum, we need larger bins to ensure we have sufficient information to fit." ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([ 200, 400, 600, 800, 1000, 1200, 1400, 1600, 1700, 1800, 1900,\n", " 2000, 2100, 2200, 2300, 2400, 2500, 2600, 2700, 2800, 2900, 3000,\n", " 3100, 3200, 3300, 3400, 3500, 3600, 3700, 3800, 3900]),\n", " array([100, 100, 100, 100, 100, 100, 100, 50, 50, 50, 50, 50, 50,\n", " 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50,\n", " 50, 50, 50, 50, 50]))" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cols = [200 * (i + 1) for i in range(8)]\n", "cols.extend([max(cols) + 100 * (i + 1) for i in range(51)])\n", "cols = np.array(cols)\n", "\n", "hwidths = (cols[1:] - cols[:-1]) // 2\n", "cols = cols[:-1]\n", "w = (cols + hwidths) < nx\n", "cols = cols[w]\n", "hwidths = hwidths[w]\n", "cols, hwidths" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Set up an array to hold the best-fit parameters from each section." ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [], "source": [ "nparams = 5\n", "fitparams = np.zeros((cols.size, nparams)) + np.nan" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Write a function to show the fitting results." ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [], "source": [ "def plot_sky_model(skyref, model):\n", " plt.plot(model['wav'], model['flux'], label='Extracted Sky Background');\n", " plt.plot(skyref['wav'], skyref['flux'], label='Reference Sky Spectrum');\n", " plt.xlim(model['wav'].min(), model['wav'].max());\n", " plt.ylim(model['flux'].min() - 0.25, model['flux'].max() + 0.25)\n", "\n", " plt.xlabel('Wavelength ($\\AA$)')\n", " plt.ylabel('Scaled Counts or Flux')\n", " plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Start by guessing a solution for one of the middle sections" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [], "source": [ "guesses = {}\n", "guesses[0] = (5600, 1.2, 0, 40, 0)\n", "guesses[3] = (6295, 1.2, 0, 40, 0)\n", "guesses[11] = (7719, 1.2, 0, 4, 0)\n", "guesses[21] = (8920, 1.2, 0, 4, 0)" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ind = 11\n", "col = cols[ind]\n", "hwidth = hwidths[ind]\n", "#guess = (7719, 1.2, 0, 4, 0)\n", "guess = guesses[ind]\n", "w = (xs > (col - hwidth)) & (xs < (col + hwidth))\n", "model = model_sky(guess, xs[w] - col, bgspec[w])\n", "plot_sky_model(skyref, model)" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n", " Current function value: 0.050867\n", " Iterations: 394\n", " Function evaluations: 659\n", "best-fit parameters are [7.71906270e+03 1.19883946e+00 6.47143224e-05 4.43113609e+00\n", " 3.52917812e-02]\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# fit for the best mapping parameters\n", "bestparams = fmin(get_sky_difference, guess, args=(xs[w] - col, bgspec[w], skyref), maxiter=10000)\n", "print(\"best-fit parameters are\", bestparams)\n", "\n", "model = model_sky(bestparams, xs[w] - col, bgspec[w])\n", "plot_sky_model(skyref, model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Keep track of the best-fit parameters" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [], "source": [ "# initial solution\n", "fitparams[ind, :] = bestparams" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can use this first solution to guess starting values for adjacent sections. We can write a function to help automate the process." ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [], "source": [ "def fit_another(xs, cols, hwidths, fitparams, i, plot=True):\n", " col = cols[i]\n", " hwidth = hwidths[i]\n", " \n", " # find the closest matching index with a valid fit\n", " inds = np.arange(cols.size)\n", " w = np.isfinite(fitparams[:, 0]) & (inds != i)\n", " iref = inds[w][np.argmin(np.abs(inds[w] - i))]\n", " print(\"reference index is \", iref)\n", "\n", " # get the wavelength guess\n", " if w.sum() == 0:\n", " print(\"not enough data to make guess...bye!\")\n", " return\n", " if w.sum() < 4:\n", " guess = fitparams[iref, :].copy()\n", " guess[0] = guess[0] + guess[1] * (cols[i] - cols[iref])\n", " else:\n", " if w.sum() > 9:\n", " order = 3\n", " elif w.sum() > 6:\n", " order = 2\n", " else:\n", " order = 1\n", " print(\"order is\", order)\n", " cwav = np.polyfit(cols[w], fitparams[w, 0], order)\n", " cdwav = np.polyfit(cols[w], fitparams[w, 1], order)\n", " cscale = np.polyfit(cols[w], fitparams[w, 3], order)\n", " guess = (np.polyval(cwav, col), np.polyval(cdwav, col), 0.0, np.polyval(cscale, col), 0.0)\n", " print(\"guess is\", guess)\n", "\n", " w = (xs > (cols[i] - hwidths[i])) & (xs < (cols[i] + hwidths[i]))\n", " output = fmin(get_sky_difference, guess, args=(xs[w] - cols[i], bgspec[w], skyref)\n", " , full_output=True, disp=False, maxiter=10000)\n", " if output[4] == 0:\n", " fitparams[i, :] = output[0]\n", " print(output[0])\n", "\n", " if plot:\n", " model = model_sky(output[0], xs[w] - col, bgspec[w])\n", " plot_sky_model(skyref, model)\n", " plt.title('Fit to Section {}'.format(i))\n", " else:\n", " print(\"fit failed!\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Call the function above for sections adjacent to ones that have already been fit. Just run the cell below several times to step through different section indices. \n", "\n", "**Important: if the fit looks bad, reset the `fitparams` values for that index back to `np.nan`**" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "reference index is 11\n", "guess is [7.83894664e+03 1.19883946e+00 6.47143224e-05 4.43113609e+00\n", " 3.52917812e-02]\n", "[ 7.83907155e+03 1.19942274e+00 -8.71790818e-05 4.26838925e+00\n", " 4.64127437e-02]\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#ind = 11\n", "ind += 1\n", "fit_another(xs, cols, hwidths, fitparams, ind)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Use the cell below to reset any sections with bad fits (there will probably be a few, especially near the blue end!).\n", "\n", "To add more points at the blue end, you can repeat the manual guessing process above that you initially did for one of the middle sections. The regions near the Oxygen 5577 angstrom and 6300 angstrom lines are probably easiest to fit by hand." ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "deleting fit at index 12\n" ] } ], "source": [ "#ind = 4\n", "print(\"deleting fit at index\", ind)\n", "fitparams[ind, :] = np.nan" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can use the cells below to check for outliers, which you should remove using the cell above.\n", "\n", "If you get stuck, you can use the pre-computed `fitparams`, which is stored in the `fitparams.dat` file. Uncomment the code below to load it." ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [], "source": [ "# only if you get stuck:\n", "#fitparams = pickle.load(open(os.path.join(data_dir, 'fitparams.dat'), 'rb'))\n", "\n", "# **********************\n", "# save wavelength fit results\n", "#pickle.dump(fitparams, open(os.path.join(data_dir,'fitparams.dat'), 'wb'))\n", "# **********************" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fit a low-order polynomial to the fit results to get the column number to wavelength mapping. Plot the residuals from the fit to check for outliers." ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/chummels/miniconda3/lib/python3.7/site-packages/ipykernel_launcher.py:4: RankWarning: Polyfit may be poorly conditioned\n", " after removing the cwd from sys.path.\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "order = 5\n", "inds = np.arange(cols.size)\n", "w = np.isfinite(fitparams[:, 0])\n", "c = np.polyfit(cols[w], fitparams[w, 0], order)\n", "plt.plot(inds[w], fitparams[w, 0] - np.polyval(c, cols[w]), 'ro');\n", "plt.xlabel('Section Index')\n", "plt.ylabel('Residual')\n", "plt.grid();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the column number to wavelength mapping directly and with the linear fit removed to see the non-linearities in the wavelength solution." ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axarr = plt.subplots(2, sharex=True)\n", "\n", "# relation between column number and wavelength\n", "axarr[0].plot(cols[w], fitparams[w, 0], 'ro');\n", "axarr[0].plot(xs, np.polyval(c, xs));\n", "axarr[0].axes.set_xlabel('Column Number')\n", "axarr[0].axes.set_ylabel('Wavelength ($\\AA$)')\n", "\n", "# plot the relation again with the linear term removed\n", "remove_order = 1\n", "axarr[1].plot(cols[w], fitparams[w, 0] - np.polyval(c[-(remove_order + 1):], cols[w]), 'ro');\n", "axarr[1].plot(xs, np.polyval(c, xs) - np.polyval(c[-(remove_order + 1):], xs));\n", "axarr[1].axes.set_xlabel('Column Number')\n", "axarr[1].axes.set_ylabel('$\\Delta \\lambda$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have a mapping from counts to wavelengths, we can apply this to the full spectrum." ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# apply the wavelength solution to the extracted spectrum\n", "wavs = np.polyval(c, xs)\n", "plt.plot(wavs, spec_opt);\n", "plt.xlabel('Wavelength ($\\AA$)')\n", "plt.ylabel('Counts');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Determine redshift of target" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The spectrum is now extracted and wavelength calibrated, so we are finally ready to do some science!\n", "\n", "You should notice a number of strong emission lines in the spectrum. In particular, there is a very strong line around 7300 angstroms. What is a strong line that you might expect from a galaxy in the optical band? Using the observed wavelength and the known rest (laboratory) wavelength for this line you can determine the galaxy's redshift. \n", "\n", "To get a precise measurement of the line center, we need to fit a model to the data. A simple Gaussian fit should do for our purposes, so we need functions to generate the model and to evaluate how good the fit is so that we can find the best fitting parameters." ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [], "source": [ "def get_line_model(params, ys):\n", " a1, cy1, sigma1 = params\n", " \n", " p1 = np.exp(-(ys - cy1)**2 / 2 / sigma1**2) \n", " p1 /= p1.max()\n", " \n", " return a1 * p1 \n", "\n", "def get_line_chisq(params, ys, profile):\n", " model = get_line_model(params, ys)\n", " w = profile > 0\n", " return np.sum( (profile[w] - model[w])**2 / np.sqrt(np.abs(profile[w])) ) / (profile[w].size - len(params))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Limit the fit to the wavelengths dominated by the strong line and determine the central wavelength." ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/chummels/miniconda3/lib/python3.7/site-packages/ipykernel_launcher.py:5: RuntimeWarning: invalid value encountered in true_divide\n", " \"\"\"\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n", " Current function value: 65639.350836\n", " Iterations: 102\n", " Function evaluations: 210\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "minwav = 7250\n", "maxwav = 7280\n", "w = (wavs > minwav) & (wavs < maxwav)\n", "\n", "guess = (100000, 7268, 4)\n", "params = fmin(get_line_chisq, guess, args=(wavs[w], spec_opt[w]), maxiter=10000)\n", "\n", "tempwav = np.linspace(minwav, maxwav, 100)\n", "model = get_line_model(params, tempwav)\n", "\n", "plt.plot(wavs[w], spec_opt[w], drawstyle='steps-mid', label='extracted spectrum');\n", "plt.plot(tempwav, model, label='model')\n", "plt.xlabel('Wavelength ($\\AA$)')\n", "plt.ylabel('Counts')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Determine the redshift" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "redshift is z=0.1219\n" ] } ], "source": [ "z = params[1] / 6563 - 1\n", "print('redshift is z={:0.4f}'.format(z))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are many more lines in the spectrum; you can use these to test/refine your redshift." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Flat field data (Optional) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To this point we have not corrected the data for pixel-to-pixel efficiencies (in other words, we have not flat-fielded the data). For many tasks this is actually not required, but if you have *good* flat field exposures available, flat fielding can improve the output data quality.\n", "\n", "The key for spectroscopy is to note that the CCD response is wavelength dependent (you wouldn't use a U-band flat to process an I-band image, right?), and with spectra there are many wavelength bins to account for. Just as with photometry, we do not care so much how many counts we get in a given wavelength bin, we can just determine the average number in each wavelength bin and then divide by this average to get numbers close to 1." ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [ { "data": { "image/png": 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tqbLv8vtOZ+O+HBZsTmdC75YM6hALwI5DeRzOdzGwffO6jisOKXF76HrP7HJtD5zZm6tGdXIokYiIiNQHLZgjIgCsScviqn8t5WBuUaXne7aKZmt6Ln87rz+DOsQSFxnCiC4tGNGlRbl+HVtE0rFFpS8hjURQYAB/O68fd3642tf2wGfriI0M4ZQeicSEBzuYTkRERJymkUeNPEojllXgYsCDcys997vRnejdphnnDGpXz6nEHyRNm1mh7aPfj2SwdyRaREREGg+NPIoID322rkLbW9cMpVfrZiREazEUObaLT2rPjKW7yrWd++L33HJaN/54eneHUomIiIiTtMqFSCOWeiiv3HGv1s04uWu8Ckep0qPn9GPRnadWaH/uy81sS891IJGIiIg4TcWjSCO1clcmy3Yc3bPxuYsHMvuW0QQEGAdTib8IDDC0i41g/m1jeezcfuXOjXvqW56csxGX2+NQOhEREXGCikeRRmj5zsOc/Y/vfMeP/KovZw9s62Ai8VddE6O4ZGgH/jCua7n2v3+9hU8r2R9SREREGi8VjyKN0ONfbPA93/TIZC4b3tHBNNIY3D6hR4V9H29/fyU/bjvErox8mvriayIiIk2BikeRRiavqIQftmUA8MT5/QkJ0n/mUncuevUHRj/+NSllpkiLiIhI46RvlSKNzPX/WeZ7fkFyeweTSGP0yuVDuHRYB1KnTyUk8OhfIRe8vFijjyIiIo2ctuoQaUQKit0s3HwQgBcvHexwGmmMJvZpxcQ+rQAo/tmCOZ3umgXAnFvH0KNVdL1nExERkbqlkUeRRqLE7eEfX2/xHZ/aI9HBNNIUXDmi9F7aCb1blmuf+OwC/u/HHezLKtRopIiISCNimvpf7MnJyTYlJcXpGCInJK+ohD73z/Ed92sbw2d/ONnBRNKUFLrc9Lzvi0rPPXvRQH41SCv9ioiINGTGmGXW2uSq+mnkUaQRmL9+f7njT24c5VASaYrCggN553fDGNs9ocK5W99dwd+/2uxAKhEREaltuudRxM+53B6enX/0y/nHN44iIMA4mEiaopFd4hnZJZ7sQhenPvENh/KKfeeenLuJ1jHhnDWwDcGB+s1SRETEX+lvcRE/tS09l0dnrqPbPbPZfjDP1z6wfXMHU0lT1ywsmN+N6Vyh/fb3V/K/n9IcSCQiIiK1RSOPIn6oxO1h3FPflmu7c1JPztG9ZdIAXDemM9eM6kRhiZv+D8z1tf/5g1XsyyrkD+O6YoxGx0VERPyNRh5F/ExmfjGLthws13b+kHb8dnQnWsWEOZRK5ChjDCFBATQLC6Z/u5hy556et4lOd83iufmb+XZTukMJRURE5JfQyKOIHzmQU8jQR7+s0P7kBQMcSCNStbsm9+LN71P51aA2XP+f5b72Z+ZvAiB1+lSnoomIiEgNaeRRxI+8tmBbhbYLk9s5kESkekZ0acHLlw9hUt/W/OvqkyqcT5o2k23puQ4kExERkZrSyKOIH9mbVVjuePl9pxMXGeJQGpGaObVHIp/ddDIPf76OJakZvvYj9+8GBxrumdKLuKhQzhrQxqmYIiIicgzGWut0BkclJyfblJQUp2OIHFdWgYsBD84t17bozlNpFxvhUCKRXy4r38XEZxewL7vwmH00nVVERKT+GGOWWWuTq+qnaasiDdyWAznlCseTu8bzv9+PVOEofismIpgf7j6N1OlT+fHu0yrtM+nZBZrOKiIi0sCoeBRpwIpLPIx/eoHveGinOF67IplBHWIdTCVSe1o2CyPl3vF0io8s175hXw6/eyuFVbsz8Xia9gwZERGRhkLFo0gD9vK3W8sdv3fdCMJDAh1KI1I34qNC+fpPp1Ro35qex1l//47Od89i8dZD9R9MREREytGCOSINUEGxm4nPLmBnRr6vbVTXFg4mEql73/zpFNzWkl/k5vE5G1i4+eh+ppe89gPje7Xkp52H+epPpxATHuxgUhERkaZJC+ZowRxpYN5enMp9n6wt15Zy73jiIkIICDDOhBJxwOjHv2JXRkGF9qtGJvHu0l3cf2ZvLh7awYFkIiIijYsWzBHxM3lFJVz/9rIKheOHN4wgPipUhaM0OV/cMobHz+9P4M/+7P/7+1QKXG6mfbSa57/c7FA6ERGRpkfTVkUaiNlr9vHF2n3l2hb++VTax2lVVWmaIkODuDC5PcM6xeGx8PS8TXy2ck+5Pk/P20RGXjFtmodx5oA2tI4JdyitiIhI46fiUaSB2Lgvu9zx/NvGqnAUATq2KF2J9YVLBnFRcnsu++eP5c7/+/tUABZvPcSfJvagR8toggI1sUZERKS26Z5H3fMoDcCm/TlMeObolhzb/jpF01RFjmNNWhZnvLCo0nPxUSHMuHYEXROj6jmViIiIf6ruPY8aeRRxUKHLTc/7vijX1i0xSoWjSBX6to3h1vHdeHZ+xXseD+YWM/7pb5nUpxWBgYbp5/YjODCAsGBtcyMiInIiVDyKOOjdpbvKHb9wySDGdE9wKI2If7l1fHd+O7ozL3+zlbMGtik3eg/47iGeuWovAM9fMojE6FCGd9a2NyIiIr+EikcRh2TmFzOnzAI5JyXFMqVf6worS4rIsUWFBvGniT0ASJ0+ldyiEt78PpUn5mys0Pfm//4EwGc3nUy/djH1mlNERKQx0D2PuudR6lleUQkPf76OhZsPkpZZuofdcxcP5KwBbTBGhaNIbVi9O4sz/175PZFxkSHcPaUXvVpH06eNikgRERHt8yjSQH2wbDczlu7yFY5/O68fZw9sq8JRpBb1axfDxkcm0bdtMwBCyqy+mpFXzJ/eX8nU5ysvLkVERKRy9VY8GmPaG2O+NsasM8asNcbc4m2PM8bMM8Zs9v4z1ttujDHPG2O2GGNWGWMGl3mtK739NxtjrizTPsQYs9p7zfNG38algSl0ufl81dF96sb3aslFJ3VwMJFI4xUaFMibVw/lwxtGEhGqxXJEREROVH2OPJYAt1trewPDgRuNMb2BacCX1tpuwJfeY4DJQDfv41rgJSgtNoH7gWHAUOD+IwWnt8/vylw3qR4+l0i19bzvC5amHvYd3zO1l4NpRBq/FlGhDOkYS7+2pdNT7z+zN/FRIXSOj6R5RLDD6URERPxLvRWP1tq91trl3uc5wHqgLXA28Ka325vAr7zPzwbesqV+AJobY1oDE4F51toMa+1hYB4wyXuumbX2B1t6I+dbZV5LxFHLdmSQNG1mubZXLh9Cp/hIhxKJNC1///Vg3rpmKFeP6kTKvaczrHMcmfkusgtdTkcTERHxG47c82iMSQIGAT8CLa21e72n9gEtvc/bAmX3MdjtbTte++5K2it7/2uNMSnGmJT09PQT+iwi1fHGotRyx4vvGsfEPq2cCSPSBMWEB5fbBmdopzgADuYUORVJRETE79R78WiMiQI+BG611maXPecdMazz5V+tta9aa5OttckJCdpTT+rGnswCJj+3kH99t52Zq/f62v95ZTKtY8IdTCYiCVFhAKSreBQREam2ei0ejTHBlBaO/2et/cjbvN875RTvPw9429OA9mUub+dtO157u0raRRzx3yU7Wb83mwc/WwdAz1bRpNw7ntN6taziShGpawnRoQCk56p4FBERqa76XG3VAP8E1ltrny5z6lPgyIqpVwKflGm/wrvq6nAgyzu9dQ4wwRgT610oZwIwx3su2xgz3PteV5R5LZF65XJ7eOGrLeXaXrpsCPFRoQ4lEpGyfMWjRh5FRESqrT5HHkcBlwPjjDErvI8pwHTgdGPMZmC89xhgFrAN2AK8BvwewFqbATwMLPU+HvK24e3zuvearcDs+vhgUv+stTw3fzPbD+Y5HaUcay2LNh+k2z0V/+hpcRyRhqN5eDBBAUbFo4iISA0E1dcbWWsXAcfad/G0Svpb4MZjvNYbwBuVtKcAfU8gpviJ1EP5PDN/Ex8s38XCP49zOg6Z+cU0jwjho+Vp3P7+Sl/72O4JvHnNUAeTiUhlAgIM8VGhvuLR7bGs2JXJkI6xVVwpIiLSdDmy2qrIidp9OB+AXRkFlP7O4JzPV+1h4EPzWL07q1zhCPDoOfotQ6ShSogO9d3z+Ob3qZz30vcs2nzQ4VQiIiINl4pH8UsZecW+5wdzi4/Ts+69tnA7AGf+fVGFc220qqpIgxUfFeIbeUzLLADgX99tdzKSiIhIg1Zv01ZFalNm/tGNvXcdzvctflGfDmQXsmp3Fit3ZZZrf/myIYzvlUix20NAwLFmaouI02IjQ9i0PxeA8OBAAL7ccKDSvhv2ZRMUYOiaGF1v+URERBoaFY/il8oWj/W14MWOQ3k8PmcjT10wgE9WpHHnh6vLnY8OC+JfV51EclLp5uNBgRrYF2nI4iJCfLMYDuWV/n8kKrTiX4s7D+Uz6dmFAHxw/Qjff+MiIiJNjYpH8UuZBUenqh6o4+LR5fbw8OfreGvxDgBmrtpboc/Vo5KYNrknoUGBdZpFRGpPbGQIBS43BcVu3/T33KIS3B5LoHfWwCcr0rhlxgrfNee/vJiRXVpQXOIhZcdhZt58Mn3axDiSX0REpL6peBS/lJnvonVMGPuyC0nPLjzB1ypmweaDbE/PI7+4hNHdEnj7h1T6tY3hybmbqvUafzmjN6Xbi4qIv2gRGQLA4fxiDuYe/REqt7CEmIhg0jILyhWOR3y/9ZDv+dTnF/H2b4aS3DGO8BD9eCQiIo2bikfxS3uzCmjTPJz8YjdZBa6qL6iE22NJO1zAmCe+Ltf+yoJtAMxZu/+41z970UDio0I5kFOowlHED8V6i8eMvNLi0RiwFrYdzGVQh1hGTf/K17dt83Deu35EubYjLv/nEgBm3Tya2Wv2MqJzC4Z3bqF7nkVEpNFR8Sh+aX92EX3aNGNfViE5RSXVvu6LNXv5ZmM6fdvGcO/Ha2r8vndP6ckpPRIpdLnp3655ja8XkYYjzls87szIJ+1wAecMastHy9NYtTuLji0iy/V946qTaNs8nLUPTuSuj1bz6co9FV5vyvOl90W+8NUW7jujN785uVPdfwgREZF6pOJR/FJeUQnRYUFEhwWRW3js4jEjr5gn527k5nHd+Ous9Ue/8C3dVeV7TOrTiq3pufxqUFsGtW9OYYmbcT1b1tZHEBGHxUaUFo+z1+zDY+GcQW2Zv24/93+6lvs/Xevrt+Tu00hsFgZAZGgQz18yiOcvGQSUTnsf+NC8Cq/98OfraB4ezHlD2tXDJxEREakfKh7FL+UXu4kICSImPJj9P1swZ+HmdHq2akZIUACDHy79UvfOjzuP+VqXDO3A3VN6svlALoPaN9cUVJEm4sjI49o9WQD0aBnNKT0Sy40qXjGio69wrEzziBBSp08ladrMCuduf38lt7+/kmcvGkihy83U/q2JDguu5U8hIiJSf1Q8it+x1pJXXEJkSCB92sTw3yU7ySpwsS09l1YxYb77j6rrTO8XusEdYusosYg0RDHhwRgD29LzAGgRFcrNp3UrVzxOm9yzWq+18v4J3DLjJ77ZmF7h3K3vli668+qCbVxzcicuHdZBP1KJiIhfUvEofqfQ5cFaiAgNIjQ4kAKXmwEPzq329ZcN70B0WDB3TupJVr6LmAiNBIg0RYEBhjYx4aRlFviOuyZGkTp9Khl5xUSFBhESVL39WmPCg/n31UMB8Hgsmw/ksmFfdrnVWrcdzOPej9fwzLxNzLx5NK1ijj2iKSIi0hCpeBS/k1dceo9jZEggJR5bZf+hneLo3zaGiX1bERRgGFRmhFGFo0jTFhtZuiXH+F6J5dqPTGn9JQICDD1aRdOjVTS5RSXc87/yi3Mdyitm+GNf+o4fO7cflwzt8IvfT0REpL6oeBS/k1/kBiA8JIhBHSqueHpKjwQuPqkDp/VKxOX2EBGiP+YiUjm3p/Sflw3vWCevf+mwjlw6rCPZhS4+W7mnQiEJcNdHq3F7LInRoUzo06pOcoiIiNSG6s3HEWlA8l1HRx67JERVOH/dmC5M6tuK4MAAFY4iclyju8UDVPr/ktrULCyYS4d1ZPtjU/jwhpEVzt/78RqufXsZnmrMphAREXGKikfxO5n5LgCiwkoLw1FdWwDw0qWD+eD6EYzo0sKxbCLiX+6Y2IM5t46hfVxEvbzZhfrZAAAgAElEQVSfMYYhHWNZes/4Ss93vnsWf/tiA9aqiBQRkYbHNPW/oJKTk21KSorTMaQGznhhIWvSsvnq9rF0ToiixO3BY6n2whYiIg3JqU9+w/aDeRXarxvbmbsm93IgkYiINDXGmGXW2uSq+unbtviVz1buYU1aNgBJLSIBCAoMUOEoIn7r6z+dwvbHpvDw2X3Ktb/y7TaSps3k/ZRdDiUTEREpT9+4xW+43B7+8N+fALjp1K4EBGifNBFpHIwxXD4iiUd+1bfCuTs+WOUrIgtdbgfSiYiIlFLxKH7jg2W7fc9vn9DdwSQiInXjsuGli+q8f/2ICufu+GAVPe/7gtmr9zqQTERERMWj+IlCl5v7P1kLlG7kbYxGHUWkcTLGcFJSHDOuHc7Llw2ucP6G/1vOk3M2kpZZ4EA6ERFpylQ8il/oed8XFHs3ZPvytrEOpxERqXvDO7dgUt/WrH9oEucPaVfu3N+/3sKo6V9pGquIiNQrFY/S4G3en+N7/vtTupAUH+lgGhGR+hUeEsiTFwxg+X2nc+/U8quvDnl4Hh//lIZb+0OKiEg9UPEoDdqWAzmc/swCAOKjQrhjYg+HE4mIOCMuMoTfju5cri2v2M2t766gy92zeOXbrQ4lExGRpkLFozRYWQUuPlqe5jtedOc43esoIk3ecxcP5LmLB9KnTbNy7Y/N3kDStJms25PtUDIREWnsjLVNe6pLcnKyTUlJcTqGVCL5kfkczC0CYNGdp9IuNsLhRCIiDcuEZ75l0/7cCu3/uvok+rRuRmKzMAdSiYiIvzHGLLPWJlfVL6g+wojUVHpOka9wHNM9QYWjiEgl5v5xLNZaZizdxV0frfa1X/2vpb7nz140kF8NautEPBERaWQ0bVUapN+8efSLzx0TdJ+jiMixGGO4ZGgHPv/DydxyWrcK5299dwV3fbSK4hKPA+lERKQxUfEoDU6hy82q3VkAJHeMpW/bZlVcISIifdvG8MfTu7P9sSl0/tmq1P9dsotXvt1KfnGJQ+lERKQxUPEoDc7LZVYM/OCGkVokR0SkBowxfHHrGBb++dRy7U/N20Tvv8xh/rr9rEnLciidiIj4MxWP0qAcyC7k2fmbnY4hIuLXQoICaB8Xwcc3jqpw7rdvpXDGC4v4ZEUaLremsoqISPWpeJQG5f1lu33PP7xhpINJRET838D2zUmdPpWPfl/x/6e3zFhBt3tmk5XvoqmvvC4iItWj4lEajJ2H8nlizkYAbh3fjSEdYx1OJCLSOAzuEMt308YRFlzxr/0BD81l8nMLmbFkJyUaiRQRkePQPo/a57HBGP34V+zKKABgy6OTCQrUbxsiIrUpLbOA3MIS5q7dx1PzNlXaZ2hSHBee1J7zh7Sr53QiIuIU7fMofsVai6F0YZzl952uwlFEpA60bR4OQI9W0dw0rivZBSVsOpDDBS8v9vVZkprBktQMEqNDGd0tXouWid85mFtEaFAAYcGBZBW4eODTtdw5qSdujyXpZysRi0jNqHiUBuG9lF3szMjnyhEdiYsMcTqOiEijZ4whJiKYk5LiuO307jz9s5HIK95YwuAOzemWGM3vT+1Cm+bhBBhDYICKSal/bo9lxa5MuiREEhYcyNLUDA5kFxEbGcyX6w/QvWU0a9Kyyq2dUNbnq/YC0DUxirTDBUzs05KsAhdjuiewZHsGL146WD+UiFSDpq1q2qrj9mcXMuyvXwKw6ZHJhARp1FFEpL5Za3l63iZe+GrLMfsM6Rirxcyk3rg9ln3ZheQWlvDCV5t9BWB9uHx4R+6Y1INmYcH19p4iTqrutFUVjyoeHZc0bSYAwzvHMePaEQ6nERFp2opK3BQWe1i5O5Mr3lhy3L7/+c0wClxuIkICGdU1vp4SSmPzj6+38MScjXw/bRxhwYGs25PNrDV7WZOWxardzu5JuviucbSOCXc0g0h9UPFYTSoenWWtpdNdswB485qhjO2e4HAiERE5IiU1gx+3Z/DJijQ27c89bt/rx3bh8hEdad0sjABNbS3nUG4RsREhJ/zvZcehPFpEhRIVevSuo+0H83hj0XZO7ZnAuJ4ty/X/30+7adUsnBFdWlBc4mHG0p1M6N2KJakZtI8NZ1CHWPZmFRBgDC2bhZ1Qtl9i5qq93PjO8hN6jdYxYezNKiQkKICLT2rPVxsOcP3YLjSPCGZ01wSemb+Jnq2imfbRai4d1oHzh7QjMMDw6oJt9GwVzScr9pBf7CYts+CY79E5IZI7JvSgS2IU3VtGn1BekYZKxWM1qXh01q0zfuLjFXsAWPGX02keofsdRUQaokKXm7V7snnl263MXbf/uH1n3nwyB3OL6ZYYRZvmjW/U5kBOIYnRFYstj8eWKxDzikrYtD+Hc178nnMHtWVi31YEBxqSWkQSHhLI8h2ZnJQUy4GcIs54YREPntWHLQdyefuHHfxudCduGd+d299bwRn925BZ4OK+j9cwqmsLOsdH8fYPO4gICSS/2O17v3MGtaVt83AWbjlIZn4xOw7lH/dznD+kHR947xH8yxm9ySsq4aROcTSPCOb9lN3ER4WyZPshTumRSKf4SCJDAxnYPhaX28PMVXs5rVciL32zlZFd44kMCeTPH64ir6iEy4d3BODy4UkEBxnW780G4MWvt3Igp4jWMWFV/hn6uUuHdeCC5Pb86h/fcc6gtvxudGc6e+9/rI49mQW0quKHjaISN//9cSdvLt7B9oN5lfZ54MzeXDWqU42yi/gDFY/VpOLROYfzihn08DwA3v7NUEZ306ijiIi/+Ous9by6YFuV/b7+0ymc+uQ3AFwwpB3fbEqnT5tmvHL5EKwtXRmzXWxEreWy1nIor5j4qNBy7S63h++3Hqoww2X34Xzu+3gNd0/pRWxkiO+64hIPG/Zl0zGutGh6bPYGerduxu3vrwTg9N4t+cO4rpzz4veM7Z7ANxsP4PF+pSpblEn1RIQE0rdNDLdP6M6GfTnc/+laAL66fSzt4yIIdmAV9n9/t50HPltXoX3+bWPpmhhV73lE6pKKx2pS8eicO95f6VsVLXX6VIfTiIhITe3PLuRQbjHz1u0nLjKY+z5Z+4te5w/julJc4mFCn1as25NFYrMw32jVJyv2cNfknkzo04oj31nmrttP5/hILNAtMYq9WYWkZRZwwcuLCQsOoNDl4fbTu7NydyZXjezEy99uZcuBXPZlF3LX5J7szSrk39+n1tK/BTlRvVo3Y/Yto8u1HcguxBhDQnToMa6qP19vOIDL7eHat5f52tY+OJHIUG1aII2HisdqUvHoDI/H0vnu0nsdtXqfiEjjsHl/Dv/7KY1dhwv4bOUep+M0SFP6tWLW6n3l2gZ3aM7U/m14ZOY6rhqZRH6Rm3ax4QQGGuat28+6PdkUlXi4dXw33B7L7RN6MHv1Xj5ekca+7CLOG9yWuMgQzujfhn1ZhZR4PLy+cDsdW0Tw4GfreOGSQbyXsosXLx3MU3M3MbxzC7ILXPRu04xDecXc9/EadmbkExESSGhQAAPbN+frjenV/kxjuyfw7abS/vFRoRzMLSp3PijAUOIdln37N0MZ2SXet+WL22Ox1vrF/s7Ldx7m3Be/9x23jgnj6lFJXDumi4OpRGqHisdqUvHojP/9tJs/vls69WfpPeMbxC+LIiJS+w7kFFJQ7GbSswspcLmrvqABig4N4pFz+vLFmn3MXrOPOyb24O3FO9iXXciSe05j075cHpm5jteuSCY2MoTn5m/ilvHdWbkrk9//33I+uXFUuc3pD+QUkhAV2mD2FTzyXfDneTLzi31tuzLy6dOmGbsPF5Bf7KZHq2g27c+hW2JUhes8Hkt2oYvmESHkF5cQERJETqGLkKAAQoOqd49iQ7Vsx2HOe+n7cm1/mtCdm8Z1cyiRSO1Q8VhNKh7rn8vtods9swH48IYRDOkY53AiERGpD9mFLsKCAjmYW4TbY4kKDSKzwMXS1Az+/MEqACb2aUmPVs14/svNFa7vmhjFlgOlq742Cwsiu7AEgGcvGsit767w9RvdLZ6OLSIY0jHW90NlSFAAr1+RTEpqBn88vTuH811s2JfNqt1ZbNqXw+UjOtKtZTSBxuDyeDiUW8z6vdm0aR7OwPbNgdJFg47co5mRV3peW5Q0Pct3Hub6t5dxIOfoCOumRyaTXeiqcK+tiL9Q8VhNKh7rX9lpH6semKANeEVEBJfbw4pdmZyUFOc7zipw0SIyhPScIhK9W0nszy70bStR6HKTnlNE+7gIikrchAQG4PYcnQLp8VjeWpzKBcntiQgJbDAjfeL/Stwe/rtkp+8+3wuT2/Feym6+nzaOZuHB5bZTEfEH1S0e9Sdb6t0P2w4BcMnQDiocRUQEgODAAF/heOT4yChOYpk9CMvuRxgWHEj7uNKVWo9MhwwKPFogBgQYbasgdSIoMIDLRySRXVjCE3M28l5K6QKAI6d/BeiWHGm8fvHdycaYtsaYc4wx3WszkDRuuUUlPP7FRnq2iuaxc/s5HUdERETkF2sXW/k+pq98u5W9WQVA6bYvIo1FtYtHY8xjxphNxpjhxpg+wDrgA2CNMeaMOksojcrjX2wAIMd7n4qIiIiIvzqzf5tK219ftJ0Rj33F6wu30f3e2SRNm0lTv1VMGoeajDxOAtoBPwHXANGAoXTq6521H00am8z8Yt5avAOApy8c4HAaERERkRMTEHB0mvSVIzpWOP/IzPW+56Mf/5q0zIJ6ySVSV2pSPHYEdlhri4AhQBrQGjgI9K6DbNLIDHxoHgBPnN+fYZ1bOJxGRERE5MT1bxcDwK3ju5M6fSrXjulcab/dhws464VFGoEUv1aT4jEMOPJzSXfgJ2vtfmAnEFHbwaRxKXEfne/fq3UzB5OIiIiI1J43rx7KJzeOIjYyBIC7p/TipUsH+85fM6oTlwxtD8ChvGIGPTzPkZwitaEmq62mAX2NMa8BLYGV3vYE4EBtB5PG5eYZP/med02McjCJiIiISO2JjQzxFY5HTO7Xms//cDI7M/KZ0q81APPXHyA9p4jMfBcTnvmWuX8c60RckRNSk5HHdyktNn8DWOB9Y0wbSu+DXHm8C0Vmrd4HwJ8mdCcsONDhNCIiIiJ1q2/bGF/hCLDk7tPo3rL0B/RN+3N5b+ku0nOKnIon8ovUpHj8C3Az8HdgirV2FdAC+CvwfB1kk0ZiaWoGAPFRodw0rpvDaURERETqnzGG1644ugf7nz9cxUmPzqe4xMOatCzdCyl+oSbF48nAImvtzdbauQDW2tXAI8D3dRFOGof//ZQGwMFc/bomIiIiTVfHFpGkTp9KbESwr23ah6s444VFXPWvpQ4mE6memhSP3wD/OEZ7dm2Ekcan0OXmnR93AvDR70c6nEZERETEeZGhR5cd+cj7I/u3m9LZvD+HpGkzSZo2k6ISt1PxRI6pJsUjlO7r+HOxx2gX4ZuN6b7ngzvEOphEREREpGGICq18zcrTn1nge/7I5+vJKXSxL6uwvmKJVKnK4tEYs80Ys817OOjIsfexD+gGZFXjdd4wxhwwxqwp0/aAMSbNGLPC+5hS5txdxpgtxpiNxpiJZdonedu2GGOmlWnvZIz50dv+rjGm/LJXUu8Kit1c/59lADx70UCH04iIiIg0DOcPaVdln7d/2EG/B+Yy/LEvyS8uYdHmg8xdu68e0okcW3VGHpO8DwuEljlOAhIpHXWcX43X+TcwqZL2Z6y1A72PWQDGmN7AxUAf7zUvGmMCjTGBlE6dnQz0Bi7x9gX4m/e1ugKHKV0VVhy0cnem73nZ1cZEREREmrLfju7M+ocm8ethHXxtFyYfLSjH90os13/gQ/O47J8/cu3by9i4L6fecor8XHX2eXzT+88rgXRgVplz+cAG4I2qXsRau8AYk1TNXGcDM6y1RcB2Y8wWYKj33BZr7TYAY8wM4GxjzHpgHPDrMpkfAF6q5vtJHdi8v/R/bgv/fCohQTWdIS0iIiLSeIWHBHL3lF688+NOLkxux1/P6cd1Y7sQEx5MWHAgfe+f4+tbXOLxPT/z74tY+ZcJbNiXTXhIID1bNXMivjRRVRaP1tqrAYwxpwLLjhzXopuMMVcAKcDt1trDQFvghzJ9dnvbAHb9rH0YpVuGZFprSyrpX4Ex5lrgWoAOHTocq5ucoJW7s4iPCqVdbLjTUUREREQanKjQIFKnT/Udd0mI8j1/9Jy+5BWV8NdZG8pdU1ziYcrzC9l+MA+AN65KZlzPlvUTWJq8ag8HWWuTrLXn1fL7vwR0AQYCe4Gnavn1K2WtfdVam2ytTU5ISKiPt2xyikrcfLBsN71aR2OM1lMSERERqYlLh3Xk2jFdeOaiAb629Q+V3gF2pHAEuObfKZS4Pbg9Fo9He0VK3arOtFUAjDGRwDTgNKAl5VdYtdbaLjV9c2vt/jKv/xrwufcwDWhfpms7bxvHaD8ENDfGBHlHH8v2Fwe8vnA7ACd3jXc4iYiIiIj/OmdQO0ICAykqcRMeEkiPltFs3F/+vseu98wGYFTXFvzfb4c7EVOaiGoXj8DLHL2n8OdDSb/oZw5jTGtr7V7v4TnAkZVYPwXeMcY8DbShdEXXJd737WaM6URpcXgx8GtrrTXGfA2cD8yg9P7MT35JJjlxWQUunpizEYDLhnd0OI2IiIiIf5va/+jCgx/cMIKvNhxgcIdYsgpcnPHCIt+577Yc4uJXF1Po8nDlyI6cM6jqVV1FaqImxeORCdnLKV0kp+Q4fSswxvwXOAWIN8bsBu4HTjHGDKS0+EwFrgOw1q41xrwHrPO+z43WWrf3dW4C5gCBwBvW2rXet7gTmGGMeQT4CfhnTfJJ7UktM5Ui8hj7GImIiIhIzUWHBXP2wNKlPdoD//v9SJ6dv5lvN5Xurf3DtgwAVrybqeJRap2xtnqDhsaYPUC+dyuMRiM5OdmmpKQ4HaNR6Xv/HHKLSnj+kkGcNaCN03FEREREGr1Cl5ue931Rrm1wh+Z8eMNIrT8hVTLGLLPWJlfVryb7J7xK6ahhq18eSxo7j8eSW1Q6KD2xj1b+EhEREakPYcGBbHpkMucOakuod4u05TszOflvX/OfH3awJ7PA4YTSGNRkTmEnIBzYYIz5Csgsc85aa39Tq8nELx25gXtE5xaEBgU6nEZERESk6QgJCuDpiwby1IUDWLbjMOe/vJi0zALu/bh0WZH5t42la2JUFa8icmw1GXm8nNJisxlwNqWL0lwJXOV9iPB+ym4A7pnay+EkIiIiIk2TMYYB7ZszonOLcu0Tn13A4q2HHEoljUFNised3seOMs/LHouQlpkPQM9W0Q4nEREREWm6ggMD+O+1w/n31ScRHVY62dDtsVzy2g/szy50OJ34q2oXj9baJGttp2M96jKk+If84hLmrN3PxD4tCQqsye8SIiIiIlIXTumRyOoHJpbb7mPYX7/kkxVpFLrcDiYTf6R9FKTWPDV3EwBb0/Oq6CkiIiIi9elv5/UHCzNXl26xfsuMFRgD2x+bWsWVIkdVe3jIGLPtOI+tdRlS/IPL7QHg6QsHOJxERERERMqKCg3iH5cOZtm9431t1kLStJmk5xQ5mEz8SU3mFiZV8uhY5rk0cR8u203b5uH0b9fc6SgiIiIiUokWUaGkTp/K5L5Hd9+b+OwC3kvZ5WAq8Rc1mbb65s+OY4CxlK6+OqPWEolf2nIgh7xiN2HBmjsvIiIi0tA9c9FAth/8jg37csjIK+bPH6ziwuT2TseSBq4mC+Zc/bPHuUA3YB+wu84Sil/4ZmM6AK9eMcThJCIiIiJSlbDgQD7/w8nl2nrd9wXZhS6HEok/OKElMa21GUAa2uexyXtk5noAhnSMcziJiIiIiFRHUGAAmx6ZzHMXDwSgwOUm+eH5uD3W4WTSUFV72qox5o2fNQUCXYChwOHaDCX+JSOv2OkIIiIiIvILhAQFcPbAtgxs35yxT3xDsdtDz/tmc9fkXlw9KgljjNMRpQGpyT2PVwE//xniyJ+mz2sljfiltXuyAPi/3w5zOImIiIiI/BIdW0Ty8mVDuP4/y3C5LQ99vo6uiVGM6Z7gdDRpQGoybXXnzx47gCXAY8CNtR9N/MXaPdkA9GnTzOEkIiIiIvJLTerbittP7+47vuKNJcxbt9/BRNLQ1GTBnCRrbacyj87W2uHW2nustbl1GVIatqXbM+jYIoLmESFORxERERGRE3DTuK6sfmCC7/h3b6WwLV1f9aVUjRfMMcb0McZc6X30qYtQ4l9WpWVxUpIWyhERERHxd8YYosOC+csZvX1t4576VgWkADUoHo0xQcaYd4BVwBvexypjzH+MMYF1FVAatp92HiY9p4juLaOcjiIiIiIiteSakzvx4qWDfcfjnvqWw1okscmrycjjn4GLKV0kp+zjEu85aYJSUksX2h3dTTdTi4iIiDQmU/q1Zs6tY3zHgx6ex6rdmQ4mEqfVpHi8gtLVVv8GDPA+Hqe0gLyi9qOJP9h+KI/YiGB6tdZiOSIiIiKNTY9W0Wx+dLLv+Ky/f8eujHwHE4mTalI8JgGbrLV3WWtXex/TgE1ApzpJJw2atZblOw7TLTHa6SgiIiIiUkeCAwPKTWEd/fjXeDw/38FPmoKaFI+FQKIxxjfEZIyJARKBgtoOJg3fj9sz2LAvh3MGt3U6ioiIiIjUoSn9WvPmNUN9x53vnuVgGnFKTYrHH4HmlC6S87Ix5mVgJRAD/FAX4aRh23KgdNWtU3rofkcRERGRxm5s9wTumdLLd/zdloNYqxHIpqQmxePDgBvoAPzO++jgbXu49qNJQ3fvx2sAaBkd5nASEREREakPvxvTmatGJgFw6es/8unKPc4GknpV7eLRWrsImAAspHQKayGwABhvrf2+buKJPwgIME5HEBEREZF6cuXIJI58/Zs+ewPFJR5nA0m9qbJ4NMb0MMbcbIwZa639xlo71lobaa2NBB4EBhpjetZ9VGlIsgpcAL5fnkRERESkaegUH8m2x6byt/P6sTerkD73f0FeUYnTsaQeVGfk8Q7gGSpfFKcEeNbbR5qQTftzgNK57yIiIiLS9Jw7uB0BBlxuy+CH51Hi1ghkY1ed4nEMkGmtXfLzE9bahUAGcEot55IGbmlqBgA9W2ubDhEREZGmKDgwgKtHle7YV1Ti4bSnv9UWHo1cdYrHdsCu45xPA1rXThzxF1+s2UeHuAhax4Q7HUVEREREHPLH07tzx8QeAOw4lM9Z/1jkcCKpS9UpHouBTsaYwJ+f8LYleftIE7I/u5DhneOcjiEiIiIiDooKDeLGU7vy6U2jAFiTls0nK9IcTiV1pTrF4zogCni0knMPA9HA+toMJQ1bVr6L/dlFxEaGOB1FRERERBqA/u2a8+thHQC4ZcYKNnvXx5DGpTrF4/uAAe4wxiw3xjxnjHnWGJMC3AlY4N26DCkNy4OfrQUg27viqoiIiIjIpd7iEeBP76/EWt3/2NhUp3j8B7CC0gJyAHAT8AdgkLftJ+DFugooDc+REcfbTu/hcBIRERERaSj6tIlhy6OTuWRoe1buzqLTXbNwawGdRqXK4tFaWwyMA/4LuCktGI33+TvA6d4+0kSk5xTRIS6ChOhQp6OIiIiISAMSFBjALad19x3f8J9lGoFsRKoz8oi1NtNaeykQDwwFhgHx1trLrLWH6zKgNDxpmQW0ba5VVkVERESkolYxYdw6vhsAc9ft58HP1jmcSGpLtYrHI6y12dbaFGvtUmttdl2FkoZrV0Y+y3YcJjYy2OkoIiIiItJAXT+2i+/5v79P5am5Gx1MI7WlRsWjyLeb0gE4uWuCw0lEREREpKEKCw5k0yOTaeFdK+OFr7ZQ6HI7nEpOlIpHqZGDuUUYA+cNaet0FBERERFpwEKCAvj2z6f6jm97b4Xuf/RzKh6lRjbuyyEhKpTQoECno4iIiIhIAxcVGsT828YAMGv1PqbP3uBwIjkRKh6lRpZsz6BHq2inY4iIiIiIn+iaGM07vxsGwNs/7NDoox9T8SjVlplfzKG8YsZ00/2OIiIiIlJ9I7vE8/DZfcgvdtPprlmUuD1OR5JfQMWjVNvW9DwAOsVHOpxERERERPzNBcntfc9vmbECj0cjkP5GxaNU27b0XAA6J6h4FBEREZGaCQsOZM6tpfc/zly9l7cWpzqaR2pOxaNU2/aDeQQFGNrHRTgdRURERET8UI9W0bx6+RAAHvhsHQeyCx1OJDWh4lGqbVt6Hh1aRBAcqD82IiIiIvLLTOjTijHdS9fQuObNpVpAx4+oCpBq23Ywl86631FERERETtBrV5SOPq5Jy2bV7iyH00h1qXiUanG5PaQeyqdzQpTTUURERETEz4UGBfLutcMBOPsf37Fsx2GHE0l1qHiUalmdlkVxiYdB7Zs7HUVEREREGoGhneIY3KH0u+VrC7Y5nEaqQ8WjVMuGvTkA9G0b43ASERERkf9v787D5CrrtI9/f+lOyJ50VmISkpCEJawmEcIiIiqLOoPb+OKo4Mq4ja+jjqKOLy64z7jNjOKGxgWRccMBBBGURVkSICyBxKyQfU9nD0n6ef+o06EI3WmSdPdTXfX9XFdfdeqp09V3PXUouDmnzlE1iAh+/Z4zOObwftw0eyXvmD4jdyS1wfKo52Tuyk30PayeUQ29ckeRJElSFbn0rCMB+OPjq7n9b2syp9H+WB71nMxdtZmJw/sSEbmjSJIkqYq8ZvIofvmu0wC45Kr7eGLd1syJ1BrLo9q0Y9ceZi/bxNHD++WOIkmSpCo0deygvcsv+sqf2bl7T8Y0ao3lUW2at2oLm3fu5vQJQ3JHkSRJUpX61btP27t817y1GZOoNZZHtWl543YAxg32Go+SJEnqGFPGDOI9Z48H4O3TZ7Juy87MibQvy6PatLJxBwCHD+iZOYkkSZKq2UfOP4axg3sDMOWKP5JSypxI5SyPatMT67ZxWH03BvfpkTuKJEmSqtxP3wFgsl4AAB9aSURBVHHq3uUrb/f6j5XE8qg2zV7eyKTn9adbN8+0KkmSpI41qqE3f7viAgC+dNOczGlUzvKoNi1Ys5WJw/rmjiFJkqQa0aO+G0cMKh2+euXtCzKnUTPLo/arcdsu1m7ZyfihlkdJkiR1nl+9+3SOHNKHL/5+Dvc/sT53HNGJ5TEiroqI1RHxaNnYoIi4JSLmFbcNxXhExDcjYn5EPBwRk8t+55Ji/XkRcUnZ+JSIeKT4nW+GV7NvFwvWbgGwPEqSJKlTDe13GB+94BgAXvvtu7np0ZWZE6kz9zz+CDh/n7HLgFtTShOBW4v7ABcAE4ufS4FvQ6lsApcDpwKnAJc3F85inXeW/d6+f0sH4bHlmwCY4GGrkiRJ6mQvOWYYp48fDMCvH1iaOY06rTymlO4A9t3ffCEwvVieDryqbPzHqeQeYGBEjADOA25JKa1PKW0AbgHOLx7rn1K6J5XO5/vjsufSIbhz3hoG9+nB6OKYc0mSJKmz1Nd14+p3TuMlxwzj1jmrmbNyU+5INS33dx6Hp5RWFMsrgeHF8khgSdl6S4ux/Y0vbWFch2jJ+u2cNHogdZ5pVZIkSZm8++zx7GlKnP/1O1nRuD13nJqVuzzuVewx7JSrgEbEpRExMyJmrlmzpjP+ZJe1bON2Rg7slTuGJEmSatjUsYP2Lp/2hdsyJqltucvjquKQU4rb1cX4MmB02XqjirH9jY9qYbxFKaXvppSmppSmDh069JBfRLXavGMXjdt3MbLB8ihJkqS85nz26VOazF+9JWOS2pW7PP4OaD5j6iXAdWXjFxdnXZ0GNBaHt94MnBsRDcWJcs4Fbi4e2xQR04qzrF5c9lw6SHNWbgZwz6MkSZKy69m9juv/+UwAPvQ/D2VOU5s681IdPwfuBo6OiKUR8Xbgi8DLImIe8NLiPsCNwEJgPvA94D0AKaX1wGeBGcXPZ4oxinW+X/zOAuD3nfG6qtnMxRsAeEHZYQKSJElSLsePHMDp4wfz0JKNvPpbf8kdp+bUd9YfSim9oZWHXtLCugl4byvPcxVwVQvjM4HjDyWjnmnphm009O7O4QN65o4iSZIkAfCZC4/jpV+9gwef3Mijyxo5fuSA3JFqRu7DVlXBlm7YzqgGL9EhSZKkyjFhWD++cdHJALzyP+9i7ZadmRPVDsujWrVkwzZGebIcSZIkVZiXTRq+d/mjv3w4Y5LaYnlUi3btaSr2PFoeJUmSVFl696jnvk+Uvv1265zV7Ny9J3Oi2mB5VItmLdnIU7ubmDKmIXcUSZIk6VmG9evJSaNK33d8zbf+Sum0KepIlke16PEVmwCYfITlUZIkSZXph289BYDZyzfxg7sWZU5T/SyPatHSDds5rL4bQ/sdljuKJEmS1KJBfXrwk7eXCuQVNzzu3scOZnlUixav3crIhl5ERO4okiRJUqtOGff0Ncl/MWNJxiTVz/KoZ0kpcfeCdZw0amDuKJIkSdJ+HVZfx+xPn8e4IX247NePsGHrU7kjVS3Lo55l7Zan2Lxz994vIEuSJEmVrM9h9fzreUcD+N3HDmR51LM8uX4rAGMG98mcRJIkSXpuXn7CCC44/nD+60/z+cv8tbnjVCXLo55l8dptAIwZ3DtzEkmSJOm5e8cLxwHwxu/f67UfO4DlUc/yxLqtdAsY1WB5lCRJUtdxYtk5Oz507UMZk1Qny6OeZcHarYwe1Jse9W4ekiRJ6jq613Xj8c+cD8DDSxu9dEc7sx3oWRau2cq4IX7fUZIkSV1Prx51fObC43hy/TYu+Mad7GmyQLYXy6OeoakpsWjtFo4c0jd3FEmSJOmgvHnaGADmrNzMbXNWZ05TPSyPeoYVm3awY1cTRw51z6MkSZK6pojguveeAcC7f3p/5jTVw/KoZ5j15EYAjhreL3MSSZIk6eCdNHogU8Y0sLspceMjK3LHqQqWRz3DQ0s30qO+G1PGNOSOIkmSJB2ST75yEgDv+dkDPLFua+Y0XZ/lUc+wYPUWjhzSh7pukTuKJEmSdEhOHj2Qq94yFYCf3P1E5jRdn+VRzzB/zRbGD/VkOZIkSaoO5xwznFPHDeL7dy3i7gXrcsfp0iyP2mvHrj0sWb+N8Z4sR5IkSVXk4tPGAvCG792TN0gXZ3nUXk+s20ZTgvHD3PMoSZKk6vGKE0dwwsgBAFx5+4LMabouy6P2WrBmC4CHrUqSJKnq/Po9p3P8yP588fdz2LjtqdxxuiTLo/ZasLpUHr3GoyRJkqpN97puvPr5owB49bf+yp6mlDlR12N51F4L1mxh5MBe9O5RnzuKJEmS1O7efuY4ABat3crtf1udOU3XY3nUXgvWbHWvoyRJkqra3R87B4Av3zQ3c5Kux/IoAJqaEgu8TIckSZKq3IgBvThp1ADmrNzMF258PHecLsXyKABWbtrBtqf2MMEzrUqSJKnK/fhtpwLwnTsWevKcA2B5FOCZViVJklQ7BvTuzq/fczoAv7x/aeY0XYflUQA8umwTAMcc3i9zEkmSJKnjTT6igWMO78cVNzzOryyQz4nlUQA8smwjRwzqTUOfHrmjSJIkSZ3i8685AYAP/c9DNHnpjjZZHgXAwjVbOWq4h6xKkiSpdkw+ooGXTRoOwM/uezJzmspneRQpJRav28rYwV6mQ5IkSbXl22+czIRhffnkbx9l3ZadueNUNMujWL15Jzt2NTFmiOVRkiRJtaW+rhtvnjYGgC/8fg4pefhqayyP4rEVpZPljB3cO3MSSZIkqfO9edoYzjtuOL+8fyl/fHx17jgVy/IoZixaT323YOqYQbmjSJIkSZ2uW7fgP98wGYB3/nhm5jSVy/IoFq/byhGDetOrR13uKJIkSVIWPeq7ceKoAQBc48lzWmR5FIvWbmOMh6xKkiSpxl39zmlMHNaXy383m5WNO3LHqTiWxxqXUuKJdVsZ68lyJEmSVOP6HlbPt980hZ27m3jVf//Fk+fsw/JY4x5e2si2p/Zw/PMG5I4iSZIkZTdhWF8mjejPyk07+NFfF+eOU1EsjzVuxuL1AJx11NDMSSRJkqTK8KO3vQDw0h37sjzWuGUbt9Orex1D+vbIHUWSJEmqCMP69eSfXnQkT+1u4mt/nJc7TsWwPNa4uSs3M35YHyIidxRJkiSpYrz/nIn06l7HN2+dx02PrsgdpyJYHmvYrj1NzFi8nlPHDc4dRZIkSaoofQ6r5xsXnQzAu376AFt37s6cKD/LYw1bsn4bu/YkJo3onzuKJEmSVHHOPe5w3v+SiQBMv3tx1iyVwPJYwxat3QrAuKFepkOSJElqyfvPmQDAdQ8uZ9eepsxp8rI81rDm8nik13iUJEmSWlRf142vvv4k5q7azIf/56HccbKyPNawOSs3M6RvDwb29kyrkiRJUmteM3kUbzz1CK6btZx5qzbnjpON5bGGzVqykZNGDcwdQ5IkSap4bzl9LP161vOun97Plho9eY7lsUZt2rGLBWu2cNJoy6MkSZLUlonD+/GdN09hwZqtTP/r4txxsrA81qhHlzaSEpZHSZIk6Tk6ffwQThw1gB/+ZVFNXrrD8lijHlyyEYCTRg3InESSJEnqOj7198exdstTXHHDY7mjdDrLY416aMlGxg3p48lyJEmSpAMw+YgG/mHKKH5+3xKuue/J3HE6leWxRj2yrJET3esoSZIkHbB/edlRAPznbfPZsWtP5jSdx/JYgxq37WJF4w6OHdE/dxRJkiSpy3newF58981TWLZxOz+4a1HuOJ3G8liD5qzcBMDRh/fLnESSJEnqms497nCmjmnga7f8jSfXbcsdp1NYHmvQ3OLCpsdYHiVJkqSD9vFXHMvupsQnfvtI7iidwvJYgx5fsYmBvbtzeP+euaNIkiRJXdbkIxp4y+ljuXPeWq6btSx3nA5XEeUxIhZHxCMRMSsiZhZjgyLiloiYV9w2FOMREd+MiPkR8XBETC57nkuK9edFxCW5Xk8lSylxz8L1TBrRn4jIHUeSJEnq0j547lGMaujF5254vOpPnlMR5bHw4pTSySmlqcX9y4BbU0oTgVuL+wAXABOLn0uBb0OpbAKXA6cCpwCXNxdOPW154w4Wrd3KS48dnjuKJEmS1OX179mdr7zuJFZv3snLvnZ77jgdqpLK474uBKYXy9OBV5WN/ziV3AMMjIgRwHnALSml9SmlDcAtwPmdHbrSPbK0EYDJY+zVkiRJUns4bfxgjntef5as385d89bmjtNhKqU8JuAPEXF/RFxajA1PKa0ollcCzbvKRgJLyn53aTHW2rjKzFi8nrpu4clyJEmSpHZ05ZumAPCmH9zLlp27M6fpGJVSHs9MKU2mdEjqeyPirPIHU0qJUsFsFxFxaUTMjIiZa9asaa+n7RLunLeGaUcOomf3utxRJEmSpKoxelBvXjO5tO/qXT+5P3OajlER5TGltKy4XQ38htJ3FlcVh6NS3K4uVl8GjC779VHFWGvjLf2976aUpqaUpg4dOrQ9X0pF272niUVrt3L8yAG5o0iSJElV5/OvPgGAu+av5YEnN2RO0/6yl8eI6BMR/ZqXgXOBR4HfAc1nTL0EuK5Y/h1wcXHW1WlAY3F4683AuRHRUJwo59xiTIUn129j157EhKF9c0eRJEmSqk7P7nXc9qEXAfCBa2bR1NRuB09WhPrcASh9l/E3xWUj6oGrU0o3RcQM4NqIeDvwBPD6Yv0bgZcD84FtwFsBUkrrI+KzwIxivc+klNZ33suofPcuKk3HUcP9vqMkSZLUEY4c2pdzjhnGbXNWc/PslVxwwojckdpNlL5OWLumTp2aZs6cmTtGp3jH9BnMWbmZO/71xXTr5jUeJUmSpI6w/ak9nPv121myfjsPXX4uA3p1zx1pvyLi/rJLJrYq+2Gr6hy79zRx78L1vHDiUIujJEmS1IF69ajjC68+EYDP3fBY5jTtx/JYIx5e1sjmnbs5Y8Lg3FEkSZKkqnfmxCFcctoYrp25lPsWVce36SyPNeLehaUN9rQjLY+SJElSZ/joBccA8Prv3M2OXXsypzl0lscaMXt5I6MaejG472G5o0iSJEk1oXePej7x8mMB+Pl9T2ZOc+gsjzVgT1NixuL1HP88r+8oSZIkdaZ3vHAcL5w4hM/d8DhzV27OHeeQWB5rwPzVW1i1aScvnTQ8dxRJkiSppkQEn3zlJLrXdePBJzfkjnNIKuE6j+pgDxQb6ZQxDZmTSJIkSbXnqOH9uP1fz6ahT4/cUQ6J5bEG/GX+Wgb36cHYwb1zR5EkSZJq0rD+PXNHOGQetlrlNu/YxS2PreLlJ4wgwus7SpIkSTo4lscqd9e8tezc3cQrTxyRO4okSZKkLszyWOX+PHcN/XrW+31HSZIkSYfE8ljFUkrc/rc1nDlhCPV1vtWSJEmSDp6NoorNXbWZlZt2cPbRQ3NHkSRJktTFWR6r2F/mrwPgzImWR0mSJEmHxvJYpVJKXHXXIo4Y1JuRA3vljiNJkiSpi7M8VqnHVmxi2cbtvNhDViVJkiS1A8tjlfrz3DUAvPecCZmTSJIkSaoGlscqlFLiVw8s5flHDGRYv56540iSJEmqApbHKrS8cQcL12zl7096Xu4okiRJkqqE5bEKTf/rYgBOHz8kbxBJkiRJVcPyWGX2NCV+++AyXnz0UI4+vF/uOJIkSZKqhOWxyty9YB2rN+/ktVNG5Y4iSZIkqYpYHqvMtTOX0L9nPS89dnjuKJIkSZKqiOWxiizbuJ3rH17Oa6eMomf3utxxJEmSJFURy2MVuf6h5TQleMvpY3NHkSRJklRlLI9VYufuPfzgrkWcMnYQYwb3yR1HkiRJUpWxPFaJ6x5czurNO3n/SybmjiJJkiSpClkeq0BTU+I7dyxg0oj+nDFhcO44kiRJkqqQ5bEK3DpnNQvWbOWfXnQkEZE7jiRJkqQqZHns4rY/tYdP/+9sRg/qxStOGJE7jiRJkqQqZXns4q6btYylG7bzkfOOob7Ot1OSJElSx7BtdGE7du3hG7fO4/iR/Xnlie51lCRJktRxLI9d2BdufJwVjTv4+AXH+l1HSZIkSR3K8thFzVm5iZ/e+ySvef5IThvvGVYlSZIkdSzLYxe0pynxid88Sv+e9XzylZPc6yhJkiSpw1keu6Arb1/A/U9s4P/93SQa+vTIHUeSJElSDbA8djF/fGwVX7l5LhccfzivOnlk7jiSJEmSaoTlsQtZumEb/3LtLE4YOYCv/Z+TPVxVkiRJUqepzx1Az82qTTs4/+t3AvDf/ziZnt3rMieSJEmSVEssj13Aui07eeP372XLzt18+42TOWJw79yRJEmSJNUYy2OF27xjFxdfdR/zV2/hyjdN4fzjD88dSZIkSVINsjxWsLVbdnLxD+7jsRWb+PjLj7E4SpIkScrG8lih5qzcxDumz2Ttlp3ucZQkSZKUneWxAv1h9ko+8ItZ9O5Rx4/fdiqnjBuUO5IkSZKkGmd5rDCrNu3gfT9/kCOH9OF7F09l9CBPjiNJkiQpP8tjhRnevyffv3gqU8Y00Ocw3x5JkiRJlcF2UoHOOmpo7giSJEmS9AzdcgeQJEmSJFU+y6MkSZIkqU2WR0mSJElSmyyPkiRJkqQ2WR4lSZIkSW2yPEqSJEmS2mR5lCRJkiS1yfIoSZIkSWqT5VGSJEmS1CbLoyRJkiSpTZZHSZIkSVKbqq48RsT5ETE3IuZHxGW580iSJElSNaiq8hgRdcB/AxcAk4A3RMSkvKkkSZIkqeurqvIInALMTyktTCk9BVwDXJg5kyRJkiR1edVWHkcCS8ruLy3GJEmSJEmHoD53gBwi4lLg0uLuloiYmzNPK4YAa3OHqEHOez7OfR7Oez7OfR7Oez7OfR7Oez5dae7HPJeVqq08LgNGl90fVYw9Q0rpu8B3OyvUwYiImSmlqblz1BrnPR/nPg/nPR/nPg/nPR/nPg/nPZ9qnPtqO2x1BjAxIsZFRA/gIuB3mTNJkiRJUpdXVXseU0q7I+J9wM1AHXBVSml25liSJEmS1OVVVXkESCndCNyYO0c7qOjDaquY856Pc5+H856Pc5+H856Pc5+H855P1c19pJRyZ5AkSZIkVbhq+86jJEmSJKkDWB4rTEScHxFzI2J+RFyWO081iojFEfFIRMyKiJnF2KCIuCUi5hW3DcV4RMQ3i/fj4YiYnDd91xERV0XE6oh4tGzsgOc5Ii4p1p8XEZfkeC1dTStz/6mIWFZs97Mi4uVlj32smPu5EXFe2bifRwcgIkZHxJ8i4rGImB0R/7cYd7vvQPuZd7f5DhYRPSPivoh4qJj7Txfj4yLi3mIef1GcxJCIOKy4P794fGzZc7X4nqhl+5n7H0XEorLt/uRi3M+bdhQRdRHxYERcX9yvnW0+peRPhfxQOsnPAuBIoAfwEDApd65q+wEWA0P2GfsycFmxfBnwpWL55cDvgQCmAffmzt9VfoCzgMnAowc7z8AgYGFx21AsN+R+bZX+08rcfwr4cAvrTio+aw4DxhWfQXV+Hh3UvI8AJhfL/YC/FfPrdp9n3t3mO37uA+hbLHcH7i225WuBi4rxK4F3F8vvAa4sli8CfrG/9yT366vkn/3M/Y+A17Wwvp837Tv/HwSuBq4v7tfMNu+ex8pyCjA/pbQwpfQUcA1wYeZMteJCYHqxPB14Vdn4j1PJPcDAiBiRI2BXk1K6A1i/z/CBzvN5wC0ppfUppQ3ALcD5HZ++a2tl7ltzIXBNSmlnSmkRMJ/SZ5GfRwcopbQipfRAsbwZeBwYidt9h9rPvLfGbb6dFNvuluJu9+InAecAvyzG993mm/9Z+CXwkogIWn9P1Ir9zH1r/LxpJxExCngF8P3iflBD27zlsbKMBJaU3V/K/v8FqIOTgD9ExP0RcWkxNjyltKJYXgkML5Z9T9rXgc6z89++3lccrnRV86GTOPcdojg06fmU9ga43XeSfeYd3OY7XHH43ixgNaXisQDYmFLaXaxSPo9757h4vBEYjHN/UPad+5RS83b/uWK7/1pEHFaMud23n68DHwGaivuDqaFt3vKoWnRmSmkycAHw3og4q/zBVDqewNMQdzDnudN9GxgPnAysAP4jb5zqFRF9gV8BH0gpbSp/zO2+47Qw727znSCltCeldDIwitKek2MyR6oZ+859RBwPfIzSe/ACSoeifjRjxKoTEa8EVqeU7s+dJRfLY2VZBowuuz+qGFM7SiktK25XA7+h9C+7Vc2Hoxa3q4vVfU/a14HOs/PfTlJKq4r/0GgCvsfTh8c49+0oIrpTKjA/Syn9uhh2u+9gLc2723znSiltBP4EnEbpkMjma4mXz+PeOS4eHwCsw7k/JGVzf35xGHdKKe0EfojbfXs7A/j7iFhM6dD2c4BvUEPbvOWxsswAJhZnbOpB6Yu1v8ucqapERJ+I6Ne8DJwLPEppnpvPMHYJcF2x/Dvg4uIsZdOAxrLDz3TgDnSebwbOjYiG4pCzc4sxHaB9vqv7akrbPZTm/qLijHDjgInAffh5dMCK77H8AHg8pfTVsofc7jtQa/PuNt/xImJoRAwslnsBL6P0ndM/Aa8rVtt3m2/+Z+F1wG3F3vjW3hO1opW5n1P2P6qC0vfuyrd7P28OUUrpYymlUSmlsZQ+I25LKb2RGtrm69teRZ0lpbQ7It5H6R/aOuCqlNLszLGqzXDgN6XPVOqBq1NKN0XEDODaiHg78ATw+mL9GymdoWw+sA14a+dH7poi4ufA2cCQiFgKXA58kQOY55TS+oj4LKX/qAP4TErpuZ4Ipma1MvdnR+mU7YnSGYf/CSClNDsirgUeA3YD700p7Smex8+jA3MG8GbgkeJ7SAAfx+2+o7U2729wm+9wI4DpEVFHaYfEtSml6yPiMeCaiLgCeJBSuae4/UlEzKd0Uq+LYP/viVrV2tzfFhFDKZ1VdRbwrmJ9P2861kepkW0+SuVXkiRJkqTWediqJEmSJKlNlkdJkiRJUpssj5IkSZKkNlkeJUmSJEltsjxKkiRJktpkeZQkVaWIWBwRKSJ+lDtLVxQRnyrmz9OyS5IAy6MkqYIUF0z+l4i4OyIaI2J7RMyLiB9ExLG583WkiPhRc1mLiB/u81jz+L/nyidJkuVRklQRIqIBuBv4KjCN0r+j5gFDgLcB5+VL1+neHBGTcofoaBHRI3cGSdJzZ3mUJFWK/wKeXyz/OzAopXRiSqkBOA14qHnFiDgzIm4u9k7ujIi5EfGJiOje2pNHxNiyPXhvKRt/xuGt+6z34Yj4dURsi4hHi7/7/Ii4LyK2RsRdEXF02XM17z1cHBH/EBFzivXuKF/vOagDPre/Fcoyfqps7M/F2J9bWO/LxR7cLRGxMCJeHRHjIuKPxeubFRHTWvlbZ0TEAxGxIyIeiogX7vP4CyLi+ohYX7wfj0TEW1vJ+5VinhqBXxzAnEiSMqvPHUCSpIgYALy+uPsQ8JGU0t7v2qWU7ilb92zgFkr/DtsILAaOAq4Ajgfe0I7RrgCWA03AccCvKP2P1/VAd+AM4KrittxI4GfAAqAX8MJW1mtJI7AOeFVEnJpSuvfQXwYA7wfWAk8B44CrgRXFYwk4CbgmIiaklHbv87u/B5YW650I3BgR41NKqyPidOBPQA9gNTCf0vtwVUQMSin9Rws5dgMLgZ3t9NokSZ3APY+SpEpwFE//D807y4tjCz5drLsEODKldDTwpeKxiyLihHbMdTswHvhAcX8Y8Nt9/ubpEdFrn9+rB16bUjoW+Pp+1mvJbuDyYvkLB5382eZTei3NJb0npcOCx1MqdABjgAkt/O4HU0qTKJXfBPQF3ls8dgWl4ngHMCqldBzwb8Vjl0dEz32eaxNwdErpBOCNh/qiJEmdx/IoSaoEUbbc1tk9X1Dc3pRS2lAsX132+NR2SwU3FEV2cdnY/xa3C8vGhu3ze40ppeb1HtvPeq25GngEeHFEtNd3Pf+QUtrJM19L8+srfy3DW/jdXwCklB6gVDihtHcR4NTi9izgqeLsrFcUY/0o7bEt96uU0tLi+fYcxOuQJGXiYauSpEowl9Iet3rgzIiINvY+Hozy56srWx6wn9/ZVNzubmGs/PnKyy+UDqdttns/67UopdQUER+nVFQ/38bqHf1anqvllPYG76tpn/urDvL5JUmZuedRkpRdSqkRuLa4+3zg8xGx939wRsRZEXFOcXdGcXt+cYZWgH8se7qZrfyZ1WXL44vnPRsYeAjRO0xK6XrgL8DkVlZpfj3Nr2UCT+8NbG//UPyNk4GJxdijxW3z+7EceElKaVpKaRrwd8DXU0oP7vNcXjdSkrooy6MkqVL8M9BcNC4D1kfEwxGxjtJ3D08sHruc0t6z0cDCiJgLfLR47JqU0iMtPXlKaTulS4EAfDgi/kRpz96+e8YqyWX7eezW4vYNEXE7cA8d9+/1r0XEbOCvlPZMbgW+VTz2b8AuSocLr4iIByPiSWAl8MUOyiNJysDyKEmqCCml9cDpwIeA+4rhoygdWjkd+EOx3p+BFxf3u1E6c+jfgE8CF7fxZ94C3EmpfI4E3kfLh1pWhJTSXcANrTz8weKxLZTm4EvAXR0U5RWUzoxaR+m7mK9IKa0qy/hC4HpK89p8fcobePrEOZKkKhDt/5USSZIkSVK1cc+jJEmSJKlNlkdJkiRJUpssj5IkSZKkNlkeJUmSJEltsjxKkiRJktpkeZQkSZIktcnyKEmSJElqk+VRkiRJktQmy6MkSZIkqU3/HyFb+O2CIfrHAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# load in the flat\n", "flat = fits.getdata(os.path.join(data_dir,'spec_flat.fits'))\n", "\n", "# display\n", "#ds9.set('frame 2')\n", "#ds9.set_np2arr(flat)\n", "\n", "plt.plot(np.median(flat, axis=0));\n", "plt.xlabel('Column Number')\n", "plt.ylabel('Counts');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that the average counts vary considerably with wavelength and there are even a few line features present in the data (there is air between the light source and the camera, and air can emit and absorb light!\n", "\n", "Since we already know the relative wavelengths for each pixel, this is no problem. We can fit a spline to this profile (which is marginalized over slit position) to determine the typical number of counts in each wavelength bin and then divide each pixel by the appropriate value from the spline fit to normalize the counts." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Note: the cell below calls the LSQUnivariateSpline. If you are using the (VERY slow) hacked version, this may take some time! You can simply load the provided `flat_spl.dat` data file instead." ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [], "source": [ "# fit a spline\n", "x = lambdafit.ravel()\n", "y = flat.ravel()\n", "weights = np.sqrt(np.abs(y)) \n", "wsort = x.argsort()\n", "x, y, weights = x[wsort], y[wsort], weights[wsort]\n", "t = np.linspace(x.min() + 1, x.max() - 1, nx)\n", "if SPLINE_WORKS is False:\n", " spl = pickle.load(open(os.path.join(data_dir,'flat_spl.dat'), 'rb'))\n", "else:\n", " spl = LSQUnivariateSpline(x, y, t, weights)" ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [], "source": [ "# **********************\n", "# save the flat spline\n", "#pickle.dump(spl, open('flat_spl.dat', 'wb'))\n", "# **********************" ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot the spline\n", "#plt.plot(x, y, 'ro');\n", "plt.plot(x, spl(x))\n", "plt.xlabel('Wavelength ($\\AA$)')\n", "plt.ylabel('Counts');" ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [], "source": [ "# normalize the flat field \n", "normflat = flat / spl(lambdafit)" ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [], "source": [ "#optionall plot\n", "#ds9.set('frame 1')\n", "#ds9.set_np2arr(flat)\n", "#ds9.set('frame 2')\n", "#ds9.set_np2arr(normflat);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can now divide the science images by this normalized flat to correct for pixel-to-pixel differences." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Flux Calibration (Optional) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sometimes you may also want to scale the counts (by a wavelength dependent function) to determine the flux densities in each wavelength bin. To do this, you need to observe a target with a known flux density spectrum. A number of such calibrated standard stars are available and should be observed. Typically you cannot observe your target and a standard star simultaneously, so you need a photometric night in order to get the absolute scaling right. However, even with clouds you can often get the *relative* flux densities of your target." ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [], "source": [ "# extract standard star spectrum as above\n", "stdimage = fits.getdata(os.path.join(data_dir, 'spec_std.fits'))" ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [], "source": [ "# mask to mark sky rows\n", "stdskymask = np.ones(stdimage.shape, dtype=bool)\n", "stdskymask[objrows, :] = False\n", "\n", "# also exclude bad rows\n", "stdskymask[badrows, :] = False\n", "\n", "# median (unmasked) sky spectrum and standard deviation\n", "medspec = np.median(stdimage[skyrows, :], axis=0)\n", "stdspec = np.std(stdimage[skyrows, :], axis=0, ddof=1)\n", "\n", "# exclude deviant pixels from the skymask\n", "pull = (stdimage - medspec) / stdspec\n", "w = pull > 3\n", "stdskymask[w] = False" ] }, { "cell_type": "code", "execution_count": 83, "metadata": {}, "outputs": [], "source": [ "stdskyfit = fit_sky(lambdafit[stdskymask], yvals[stdskymask], stdimage[stdskymask])\n", "stdsky = stdskyfit.ev(lambdafit, yvals)" ] }, { "cell_type": "code", "execution_count": 85, "metadata": {}, "outputs": [], "source": [ "#optionally plot\n", "#ds9.set('frame 1')\n", "#ds9.set_np2arr(stdimage)\n", "#ds9.set('frame 2')\n", "#ds9.set_np2arr(stdsky)\n", "#ds9.set('frame 3')\n", "#ds9.set_np2arr(stdimage - stdsky)" ] }, { "cell_type": "code", "execution_count": 86, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# select which rows to sum\n", "w = (slitpos > -10) & (slitpos < 10)\n", "ymin, ymax = yvals[w].min(), yvals[w].max()\n", "\n", "# calculate the sum\n", "std_spec = (stdimage - stdsky)[ymin:ymax, :].sum(axis=0)\n", "\n", "# plot the extracted spectrum\n", "plt.plot(wavs, std_spec)\n", "plt.xlabel('Wavelength ($\\AA$)')\n", "plt.ylabel('Counts');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The supplied standard star is called Feige 67. You can get a table of its flux densities from ESO (and other sources)." ] }, { "cell_type": "code", "execution_count": 87, "metadata": {}, "outputs": [], "source": [ "# Download the data from ESO\n", "dtype = []\n", "dtype.append( ('wav', float) )\n", "dtype.append( ('flux', float) ) # units are ergs/cm/cm/s/A * 10**16\n", "dtype.append( ('eflux', float) )\n", "dtype.append( ('dlam', float) )\n", "calspec = np.genfromtxt('ftp://ftp.eso.org/pub/stecf/standards/okestan/ffeige67.dat', dtype=dtype)" ] }, { "cell_type": "code", "execution_count": 88, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(calspec['wav'], calspec['flux']);\n", "plt.xlabel('Wavelength ($\\AA$)')\n", "plt.ylabel('$10^{16} * F_{\\lambda}$');\n", "plt.yscale('log');" ] }, { "cell_type": "code", "execution_count": 89, "metadata": {}, "outputs": [], "source": [ "# fit a spline to the tabulated spectrum\n", "t = np.arange(calspec['wav'][1], calspec['wav'][-2], np.int(np.median(calspec['dlam'])))\n", "stdflux = LSQUnivariateSpline(calspec['wav'], calspec['flux'], t, calspec['eflux'])" ] }, { "cell_type": "code", "execution_count": 90, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# get the counts to flux density ratios in each wavelength bin\n", "# exclude significant line features (fluxes near these depend on spectral resolution)\n", "ratios = std_spec / stdflux(wavs)\n", "w = (wavs > calspec['wav'].min()) \\\n", " & (wavs < calspec['wav'].max()) \\\n", " & (np.abs(wavs - 7650) > 70) \\\n", " & (np.abs(wavs - 6900) > 40) \\\n", " & (np.abs(wavs - 6563) > 40) \\\n", "\n", "# fit a spline to the ratios to determine the response function\n", "t = wavs[w][1:-2:25]\n", "respfn = LSQUnivariateSpline(wavs[w], ratios[w], t)\n", "\n", "plt.plot(wavs[w], ratios[w], 'ro')\n", "xwav = np.linspace(wavs[w][1], wavs[w][-1], 1000)\n", "plt.plot(xwav, respfn(xwav));\n", "plt.xlabel('Wavelength ($\\AA$)')\n", "plt.ylabel('Response Function (counts/$F_{\\lambda}$)');" ] }, { "cell_type": "code", "execution_count": 91, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# compare the tabulated and extracted flux densities (applying the response function)\n", "plt.plot(calspec['wav'], calspec['flux'], label='Tabulated (published) Spectrum');\n", "plt.plot(wavs, std_spec / respfn(wavs), label='Extracted Spectrum')\n", "plt.xlim(5300, 9200) # standard star values are only tabulated out to ~9200 A\n", "plt.ylim(0, 1000)\n", "\n", "plt.xlabel('Wavelength ($\\AA$)')\n", "plt.ylabel('$F_{\\lambda}$')\n", "plt.ylim(50, 1000)\n", "plt.yscale('log')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "Now apply the response function to the target spectrum to get the flux calibrated spectrum." ] }, { "cell_type": "code", "execution_count": 92, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(wavs, spec_opt / respfn(wavs))\n", "plt.xlim(5300, 9200)\n", "plt.xlabel('Wavelength ($\\AA$)')\n", "plt.ylabel('$F_{\\lambda}$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Removal of telluric features (Optional) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Earth's atmosphere strongly absorbs light in bands near 7600 angstroms (A-band) and 6900 angstroms (B-band), and also in a number of other bands particularly in the near-IR. These bands can be seen in the spectra of our standard star. The target spectrum is also absorbed in these bands. We can correct for this by measuring the fraction of the standard star's light absorbed as a function of wavelength compared to an extrapolation of the standard star's continuum across these bands. We can then scale this absorption strength to match the fractional absorption in the target spectrum and thus divide out the telluric absorption. This works well as long as the atmospheric conditions remain similar." ] }, { "cell_type": "code", "execution_count": 93, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "tell_spec = (std_spec / respfn(wavs)) / stdflux(wavs)\n", "w = (np.abs(wavs - 7650) < 70) | (np.abs(wavs - 6900) < 40)\n", "tell_spec[~w] = 1\n", "\n", "plt.plot(wavs, tell_spec)\n", "plt.xlim(5300, 9200)\n", "plt.ylim(0, 1.1)\n", "plt.xlabel('Wavelength ($\\AA$)')\n", "plt.ylabel('$F_{\\lambda}$');" ] }, { "cell_type": "code", "execution_count": 94, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# correct the target spectrum for telluric absorption\n", "plt.plot(wavs, spec_opt / respfn(wavs), label='uncorrected')\n", "plt.plot(wavs, spec_opt / respfn(wavs) / tell_spec, label='corrected')\n", "plt.xlim(5300, 9200)\n", "plt.xlabel('Wavelength ($\\AA$)')\n", "plt.ylabel('$F_{\\lambda}$')\n", "plt.yscale('log')\n", "plt.ylim(1, 2000)\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, you can compare your extraction to the [published](https://ui.adsabs.harvard.edu/#abs/2016ApJ...830...13P/abstract) extraction of these same data. The published spectra are posted to the [Weizmann Interactive Supernova Data Repository (WISeREP)](https://wiserep.weizmann.ac.il)." ] }, { "cell_type": "code", "execution_count": 95, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# download the published spectrum\n", "dtype = []\n", "dtype.append( ('wav', float) )\n", "dtype.append( ('flux', float) )\n", "dtype.append( ('sky', float) )\n", "dtype.append( ('eflux', float) )\n", "dtype.append( ('xpix', float) )\n", "dtype.append( ('ypix', float) )\n", "dtype.append( ('resp', float) )\n", "url = 'https://wiserep.weizmann.ac.il/system/files/uploaded/general/PTF12dam_2014-04-30_10-33-34_Keck1_LRIS_None.spec'\n", "pub = np.genfromtxt(url, dtype=dtype)\n", "\n", "plt.plot(wavs, spec_opt / respfn(wavs) / tell_spec, label='my extraction')\n", "plt.plot(pub['wav'], pub['flux'] * 1e16, label='published')\n", "plt.xlim(5300, 9200)\n", "plt.xlabel('Wavelength ($\\AA$)')\n", "plt.ylabel('$F_{\\lambda}$')\n", "plt.yscale('log')\n", "plt.ylim(0.01, 2000)\n", "plt.legend();" ] } ], "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": "3.7.1" } }, "nbformat": 4, "nbformat_minor": 2 }