{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## CS 200: Matplotlib\n", "\n", "

\n", "\n", " \n", "The material in this notebook comes from matplotlib.org, mainly the introductory tutorials. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Usage Guide\n", "\n", "This tutorial covers some basic usage patterns and best-practices to help you get started with Matplotlib." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### A simple example\n", "\n", "Matplotlib graphs your data on Figures (i.e., windows, Jupyter widgets, etc.), each of which can contain one or more Axes (i.e., an area where points can be specified in terms of x-y coordinates (or theta-r in a polar plot, or x-y-z in a 3D plot, etc.). The most simple way of creating a figure with an axes is using pyplot.subplots. We can then use Axes.plot to draw some data on the axes:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 2, "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": [ "fig, ax = plt.subplots() # Create a figure containing a single axes.\n", "ax.plot([1, 2, 3, 4], [1, 4, 2, 3]) # Plot some data on the axes." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For each Axes graphing method, there is a corresponding function in the matplotlib.pyplot module that performs that plot on the \"current\" axes, creating that axes (and its parent figure) if they don't exist yet. So the previous example can be written more shortly as" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 3, "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": [ "plt.plot([1, 2, 3, 4], [1, 4, 2, 3]) # Matplotlib plot." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Parts of a Figure\n", "\n", "Now, let's have a deeper look at the components of a Matplotlib figure.\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Figure\n", "\n", "The whole figure. The figure keeps track of all the child Axes, a smattering of 'special' artists (titles, figure legends, etc), and the canvas. (Don't worry too much about the canvas, it is crucial as it is the object that actually does the drawing to get you your plot, but as the user it is more-or-less invisible to you). A figure can contain any number of Axes, but will typically have at least one.\n", "\n", "The easiest way to create a new figure is with pyplot:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "
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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure() # an empty figure with no Axes\n", "fig, ax = plt.subplots() # a figure with a single Axes\n", "fig, axs = plt.subplots(2, 2) # a figure with a 2x2 grid of Axes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It's convenient to create the axes together with the figure, but you can also add axes later on, allowing for more complex axes layouts." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Axes\n", "This is what you think of as 'a plot', it is the region of the image with the data space. A given figure can contain many Axes, but a given Axes object can only be in one Figure. The Axes contains two (or three in the case of 3D) Axis objects (be aware of the difference between Axes and Axis) which take care of the data limits (the data limits can also be controlled via the axes.Axes.set_xlim() and axes.Axes.set_ylim() methods). Each Axes has a title (set via set_title()), an x-label (set via set_xlabel()), and a y-label set via set_ylabel()).\n", "\n", "The Axes class and its member functions are the primary entry point to working with the OO interface.\n", "\n", "#### Axis\n", "These are the number-line-like objects. They take care of setting the graph limits and generating the ticks (the marks on the axis) and ticklabels (strings labeling the ticks). The location of the ticks is determined by a Locator object and the ticklabel strings are formatted by a Formatter. The combination of the correct Locator and Formatter gives very fine control over the tick locations and labels.\n", "\n", "#### Artist\n", "Basically everything you can see on the figure is an artist (even the Figure, Axes, and Axis objects). This includes Text objects, Line2D objects, collections objects, Patch objects ... (you get the idea). When the figure is rendered, all of the artists are drawn to the canvas. Most Artists are tied to an Axes; such an Artist cannot be shared by multiple Axes, or moved from one to another." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Types of inputs to plotting functions\n", "All of plotting functions expect numpy.array or numpy.ma.masked_array as input. Classes that are 'array-like' such as pandas data objects and numpy.matrix may or may not work as intended. It is best to convert these to numpy.array objects prior to plotting.\n", "\n", "For example, to convert a pandas.DataFrame" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "import pandas\n", "a = pandas.DataFrame(np.random.rand(4, 5), columns = list('abcde'))\n", "a_asarray = a.values" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and to convert a numpy.matrix" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "b = np.matrix([[1, 2], [3, 4]])\n", "b_asarray = np.asarray(b)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "matrix([[1, 2],\n", " [3, 4]])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "b" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The object-oriented interface and the pyplot interface\n", "As noted above, there are essentially two ways to use Matplotlib:\n", "\n", "Explicitly create figures and axes, and call methods on them (the \"object-oriented (OO) style\").\n", "Rely on pyplot to automatically create and manage the figures and axes, and use pyplot functions for plotting.\n", "So one can do (OO-style)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "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": [ "x = np.linspace(0, 2, 100)\n", "\n", "# Note that even in the OO-style, we use `.pyplot.figure` to create the figure.\n", "fig, ax = plt.subplots() # Create a figure and an axes.\n", "ax.plot(x, x, label='linear') # Plot some data on the axes.\n", "ax.plot(x, x**2, label='quadratic') # Plot more data on the axes...\n", "ax.plot(x, x**3, label='cubic') # ... and some more.\n", "ax.set_xlabel('x label') # Add an x-label to the axes.\n", "ax.set_ylabel('y label') # Add a y-label to the axes.\n", "ax.set_title(\"Simple Plot\") # Add a title to the axes.\n", "ax.legend() # Add a legend." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "or (pyplot-style)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "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": [ "x = np.linspace(0, 2, 100)\n", "\n", "plt.plot(x, x, label='linear') # Plot some data on the (implicit) axes.\n", "plt.plot(x, x**2, label='quadratic') # etc.\n", "plt.plot(x, x**3, label='cubic')\n", "plt.xlabel('x label')\n", "plt.ylabel('y label')\n", "plt.title(\"Simple Plot\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib's documentation and examples use both the OO and the pyplot approaches (which are equally powerful), and you should feel free to use either (however, it is preferable pick one of them and stick to it, instead of mixing them). In general, we suggest to restrict pyplot to interactive plotting (e.g., in a Jupyter notebook), and to prefer the OO-style for non-interactive plotting (in functions and scripts that are intended to be reused as part of a larger project).\n", "\n", "Typically one finds oneself making the same plots over and over again, but with different data sets, which leads to needing to write specialized functions to do the plotting. The recommended function signature is something like:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "def my_plotter(ax, data1, data2, param_dict):\n", " \"\"\"\n", " A helper function to make a graph\n", "\n", " Parameters\n", " ----------\n", " ax : Axes\n", " The axes to draw to\n", "\n", " data1 : array\n", " The x data\n", "\n", " data2 : array\n", " The y data\n", "\n", " param_dict : dict\n", " Dictionary of kwargs to pass to ax.plot\n", "\n", " Returns\n", " -------\n", " out : list\n", " list of artists added\n", " \"\"\"\n", " out = ax.plot(data1, data2, **param_dict)\n", " return out" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "which you would then use as:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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CuSaE/FJkBLZHJBJhb22JvbUl/vLuib9eL1Cv0lJlEnlDfPix/GrWHC0i0tMeSwsJeZWNZJY3IJNKOFpQ02n8OBjqlZy18qXtrPy2Vr+LrRQnmeUFWTQfb89k5+kKboo7G3bYWuRMFnk365GfKWvAxlKCj5NNm/V2Vha8eWssE6I8eG5NCtM+2stTE8MvSx2L1tEzIW62ZCsaDa9Bb7hApxTWdDss0kkm5Zu7B/Pe1gw+3p7FqZJ6ls4ZiKfjP8fH2hN0eoFDuQbx3phqEG9rSzHjIgyhgmMuk3gD1DZpeOn3k/x6tIgYH0fem9GPMA/7y3Kua4lrQsh7SzlJsViEo8wSR5klQa0SamYM8mNqP2/mLUsm3MOOkhoVX901iDERHuiMpV3bWvlG90+7C0JBlZKqRjV1XRSqAkO0TXvhd5JZdn5BMF4MrC3FqDR6PB0Mwts+9tsUftjNqJUz5fWEutt1aQGNj/Jgi/9IXvg1lTc2pfPnqXLenXHpb3ujvR3R6PQcL6xl4dhQhoXIue/bw2h0eqwsxXxx56Buf0ckYhHPXBdBjI8jT/10nKkf7eGTOwYwJKh3+/uvFHq9wOG8ajakFLPxRCkV9QbxHhvhzpQYb8ZEuF32RJvdZyr41+oUyuubeWxcGPPHhpojjoxcE0J+LZAQ4kqgq4wj+TUAzFueTJyfMwmhchJDXenv50RoJ26NztDo9NQYhb7adAHoKPzVjWqyFQ1UN2q6DLNszfvbTvPpjkz0wPgId47m15BXqcRZJgUgo7SOyoZmnFpVK+yMzPIGhgXLu3weDNEhS+cMZM2RIl76/SSTPtjFizdEMWOQ3yWbS1j82wmatXqGh7qa2nDdGOfNqoMFaJt1rD1azAB/5x7dxUzq60WImx3zlicz+4v9LJ4axZ3xAb16/uNyodcLJOdXsyGlhI2pJZTXN2NlYRRvo+V9JaKUlGot/9uUzrJ9eQS72bLm4QT6+Tld9vNeS5irH14iWqI51Fo9SrWO66M9KaptIrWoFkEwNHAdGuRCYqjhTiLC0/6S+vTUWj01SnUrt89Z3/97W0+32dbOSoJeoMvMVJHIUNPFuZNoH0uJmCXbM4nzd2LRlEjTegfrrmPtC6uVPPNzCvuyKxkf6c4bN8fyy5HCi5qsXJ9SzPyVRwHY+9xY8iobeXB5MgCBcltSiwxdXCI87fn4jgGmujLdpU6l4ckfj7HtVDk3D/Dh9Ztiem2i16VErxc4kl/N+pQSNp0ooazOIN5j+rgzOdaLcRFXRrxbOJJfzVM/HSdH0cg9iYE8OyniH/E5dEVX1Q/NQn4JaO2qUGl03PvtYawtxXx992CivBzYn13J3sxK9mYpyK4w+HJdbKXEh8hJDHElMVSOv4vsslh9ZXUqhr7+JzMH+7H2WDFNGh12VhZ8fqch3K7Fyp/y4R7c7K2YPyaUqka18aLQNvqnslGNuotiXucL83SUWfL7sWL2ZBravM0bGczq5MILLmk77aM9pBTVMsDfiTWPJJKUpeDB5clMjfXiX9dFMPzNv2hU67C3tkCnF3jj5him9/fp0Xun1wt8+NcZPth2hr4+DiydMxBf579fVIReL3C0wCjeqaWU1qmQWogZ08eNyTFejIv0wO4K5weotXo+/PMMn+zIxMvRhrdvjSUhtHdnD18JzEJ+GWkfCvfs6hR+OlzAnGH+vHpjTJttS2qbSDKKelJmJaV1KgB8nGxINLphEkJccbO/NIWdfjpcwL9Wp+BgbcGiqVH8a3UKYe62VDZq2ohmv5f/4Mb+3rw8vW+XxxIEgeX783hx7Uk+nBWHo42lyfVz1t2j6RD9c7749HAPOyrqm01Nbs/H6bJ6Jn2wC70Ai6dGcd/woA6fwbJ9uby49iQTIj2obdJwMLeKWUP8+M8N0T226LallfHEj8ewtBCzZFbc30JQDOJdwwaj5V1SaxDvUeFuTI29OuLdQnppHU/+eJy0kjpuHejLizdE4WD9906x7y7meuSXkfaugEVTI9mTqWD3GQVKtbbNJJCXow23DPTlloG+CIJAVkUjSVkK9mYq2HyilJ8OFwLQx8Pe4F8PcWVosAv2F/hF3plRgZ2VhKVzBhIfImfpzizOlDfy0g1RbaJ+LCWi8052ikQiimqakErETO7r2a2SsK3DPKuNrp/yOhUvr0szuXZOlzVgb23R7cmyNzelm8JAJ8d4Ah0/g9lD/Pl+fz7pZXVsfmwkH2/P5JMdWRzNr+GTOwYQ3ANXy/goD9bOT2Te8mTmfHWAFyZHct/woGvOby4IBvHeaPR5F9eqkErEjAx349lJEYyLdL/g79mlQKcX+HJ3Nu/+cRp7aws+nzuQidGeV2081xJmIb8M2Ftb8vZtscz+4gBvbkrv0soViUSEutsZ6mbHB6LTC5wsrmVvZiVJWQpWHcznm725SMQiYn0dSQxxJSFU3u0JPK1Oz+4zFUyO8TJZkZOiPflkRxZ7Miv58q6zF3aJWNSt8MPMsgaC3Wy7Xde7qzDP2wf7892+XF7+/SR6AepVWm78eC+LppxbJA9kV/JnejkAgwKc8XK06XQ7C4mY/9wQxewvD/DN3hz+NSmCwUEuPPnjMW74aA9v3BLLtH7e3XoNAMFudvz2aCJP/3Sc1zac4nhhLW/eEtPrS6IKgsCxghpTqGDLhXhkuCvPTOrDuEiPXmHt5lcqeernYxzKrea6aA/+e1MMruZyw92md38Lr2ESQly5JzGQb/bmMjHak8Ru3I4bBNuJWF8nHh4dQrNWx5G8GpPF/unOLJZsz8TKQszgQMPEaWKonGhvx06jTI4V1FCn0jKqVbXD6/t68cmOLLadKiOzvJ5Qd0MMroVY3K2EoDPlDcReghKwSVkK/m/bGb66axB/pVewfH8eAK9tOMX+7CreuS0WJ2M0TQuCIPDGpnTT8uTzFERKCHVlUrQnH2/P4taBfozp487Gx0awYOVRFq46yoHsShZPjeq2q8XOyoJP5wzg051ZvL0lgzNl9Xw+d1C38xCuFIIgkFJYy4bUEjaklFBU04SlRMTIMDeemhjO+KjeId5gGOuqgwW8tiENiUjEu7f161Bm2cz5MfvILyNNah1TPtyNSqNj8xMjL/rHU6/ScCC7yuRfzyirB8DB2sIwcWr0r4e42SISiXhnSwaf7sziyOIJONoYzi0IAsPf3E5RTRMzBvny1q39ABj99nZifZ34cFbXCTQqjY7IFzfz2LgwHh8fflGvpb1Pe+fpCh5bdZSaJkPbOk8Haz6ZM6BN/ZONqSU88v0R/FxsKKhqYv/z486btFNQpWTcezuZ3NeTD2YaXptGp+fdP06zdGcWkV4OfHLHgDZ5Ad1h5+kKFq4yRM18OCuOUeFXt9b1pzsysbe2oKCqiQ2pJRRWNyERGyJ4HhkdyvgoD9N3oLdQXqfiX7+ksCOjgsRQOW/d2q9DkpmZtpgnO68SR/OrueXTJG4e4Ms7t/W7pMeuqG8mySjqe7MUFFY3AeDhYEViiCtrjhbh62zDnmfHttnv1fVpfLUnB0uJiD3PjsXDwZpx7+4gwtOBj+8Y0OX5ThbXMuXDPXw8ewBTYi99edAapZrFa0+y7nixad2/J0dy/4ggtHqBie/vwkIsQgCcZZb8/FBCt477zpYMlmzP5JeH4xkYcDbB56/0Mp786ThanSGq5YYeuFrA4A6Yt/wwGWX1PD2xD4+MDrmilqQgCJwoqmN9ajFrjhRSUa9GLIJR4W6Ee9jz0+GCbk8gX2nWpxSz6LcTqDQ6npsUwZ3xgf/oFPvu0pWQm9OiLjNx/s48PDqE1cmFbE0ru6THdrO3Ynp/H968NZY9z45l1zNjeOPmGAYHurDmaBEAhdVNjH1nB4t+S2XziRJqlGom9TVMIGl0At/szQUM9VY05yljm1neAECYR89isruLk0zKR7Pi+HBWnKmP6H83nuK+7w6zdEcWOYpGbh3oS2Z5A1N6UGf6kTEheDpY89LvaehbTeiOjfBg48IRhHvYsWDVURb9lmqqrb50ZxZJWYo2x0nKUrB0Z5Zp2V8uY80jCdwQ683bWzJ4eMWRDolZ3TlOTzCIdy3/25TOqLd3cMOSPXy1O4dob0fmjQzGzsqCSC8Hfk4u7JUiXqNUs2DVUeavPEqA3JYNC0dw9z+8TsqlwCzkV4DHxoUT4WnP82tSqGpUX7bz+MtlzBriz5LZA0zW/439vQmQy1hzpIiHVhwh7tWtvPT7SdM+X+3Jpl6lMUx2nidq5UxZAxKxiMBzdLC/FEzr582+58YxIswgQn+ll/Pu1tNYiEWoNHpEInrUMEAmteD5yRGkFtWyOrmwzXPeTjb8+GA8D44MZsX+fG75NIm8ykZTUa4WEW6Jc28/PyCTWvB/M/uzaEokW0+VcePHe8mqaDA9393jnIsW8X5zczqj39nB1I/28OXubAJdbXnrllgOLxrPt/cM4cb+PtSptHyyI4tgV9vL/jn1lB0Z5Ux8fxebUkt4ckI4vzwU3+NELTOdY3atXCFOldQxbckeJkR58PHsAZf9FnzhKoN4HHxhPGKxyFCTpKDGlJh0MKeqwz72VhYceXFCl/UrHlqezOnyev56avRlHXsLgiCw4kA+i3870Wb94EDnbrtVWh/rtqX7yK1s5K+nR3c6X7EtrYynfj6OXi/wv1ticba15OEVR4jzd+pQuK0zWrJ7a5Qa7hseRJi7HXlVSo7kVZOcV82sIf5sSC3pVtKTIAikldSx0ThhmVupRCIWkRAiZ2qsFxOjPHG2bTsZ/PyaFFYdLCBALiOvUolYBBOjPLkzIYD4YPlVm0BsbNby342nWGnsJfD+7f3p62PumXohXFYfuUgk+hqYCpQLgtB1RomRf6KQg6EK4dtbMvi/mf17nGXYE3R6gUGvbWVMhDvvzejf6TZb08p4YFnHz0AqERPt7cDUft4khsrp42HPvuxKUgpr+flwAaHudnw2t8P36LJRUd/M4P9u67D+yOIJuLQTsvORWljLtI/3cP/wIP49JarTbYpqmpi/8ghH82uYMciXzSdKqVNpWTA2lKcm9gEMTawLqprIr2okr1Jp/Gskr0ppytxtQSIW4e8io6BKiVYvtDlOewRB4FRJvUG8U0vIUTSaxHtKjBcToz27fM1JWQru/Pogng5W7Hl2HGuPFvHsmhQkYhGNzTrC3O24MyGQm+N8rmiK/eHcKp786TgF1UruHx7EUxP7/KNT7C+Wy50Q9C2wBFh2iY73t+TBkcFsO1XGi2tPMixYjofD5SmTmlJYQ7VSc85IitF93HCSWSIRiahs5e4ZEebK9oxyjhYYin85WFug0ui5Y5g/WRWNJv/6leLDP88gEYvY8vgIJn2w29QMZMCrW1n9UHyPuhHF+DoyY6Af3+zNZeYQ/05v632cbPhxXjwvrj3BD4cKTOs/35XNtlNl1Co1lNSp2pQmtpVK8JfbEu5uz4RIDzwcrPl8VzaldSpGhLkyZ1gAC1cdRavW8c3eXOJD5G2aomSU1bMhxWB5ZysaEYsM4avzRgZz3TnEuzVH82sQAeMjDZ/P9Dgf3BysOJJXjYeDNd/ty2Xxbyd4a1M6twz0ZW58wGV1azRrdby/9Qyf7crCx8mGHx4YxtDzFFozc+FcMteKSCQKBNabLfJzk13RwOQPdzMsWM43dw/u9u1uTzrivL/1NB/+dYYjiyZ0uP1uzdM/H2fLiVI8HK3JLG8gzt+JX411S+799hB9POw5VVqPzFJiCgsEmDnYj4RQVxJC5Jc1aSNH0ciE93Yyc4gfr90Yw4T3dlJSq2ozobhwbCiPjw9vM1l2rvfq1oG+jHl7BwMDnXnrllhyjdZ0fpXRsq5Skl/ZSLVSQ3ssxCKGBcsZGOBMgFxGgNyWALkMua20w+fYUs6gZT7i9Zti+DYpF0V9MzpB4LnrIymqVrI+tYTsCoN4x4fImRLjzXXRHsh7+L4eyK7k9s/3d5kN2ZLVuSwplw2pJWh0AiPCXLkzPpCxEe6XtF58WnEdT/50jPTSemYO9mPR1KgLTve/FJ2g/k6YU/R7CcFudjw3KYKX1qXxw6ECZg3pXmux9h1x2tcUb83O0xX083U6p4gDXN/Xk9XJhYz3cSSzvIGjxhK8CSGuWIhFHC+s5TUxx7YAACAASURBVLZBvrx1Sywf/pnJ+9tO4+Nkw4bUEpO1GuFpb0pMGhIkv6T1Od7eko7UQsxj48I5XVbPmfIGXp0ezW2D/PjP2pP8eLiAD//KZNn+PP56arTJcm15r/5vZn/8nGVsPlnKh3+eYXS4G8l51dQ3a9mRUcGQ1/80nUssMkx8BshlDA2Ss/lkaYfxjIt0J8bXkfljws47dpFIxJ3xgWSU1rPueAmvrk8jzt+Z9FJD7P+zv6QgFsGwYDn3JgYxqa/nRV0Uk7IqEYvo0uoViUQM8HdmgL8z/54SxQ8H8/n+QD4PLDuMj5MNc+MDuH2Q33m/M+dCq9Pz2a5sPth2GkcbKV/fPYixER4XfDzo2ff+n8wVs8hFItE8YB6Av7//wLy8vEty3msRvV7gji8PkFJYw+bHR3a74UJSloJHvz/C0CA5u89UmNwDAobPUBCgulHNu1tP42pnxWPjQg3rjfu3fNQtn3mzVt8mUxIMRahyFY2mTEuAocEupBXXUa/S8uSEcCwkIk4W1bEnU0FtU0fL1VIiIiHEUINdaiFuc07TGFptf3bd2W2OFdSY+owuHBvKh39lAoa7gRbBS8pSmOq/XyiBchmh7nb4ONlgIREjCPD13hzAEI9fVtdsaszRwtgId3ydbboce+vXl1nWwMHcjhPLAOMi3HG1s+py3/bHpsPzgml57TFD7P20ft6dPt92f8M/Gp3QaUisj5MN0d4OnY6FLsaaq2g0dWkC6OfriJNM2mEspqO0f22t17V7rkZpaLcY7mFHaV1ztytk/h257AlBZtdKzyisVjLpg91Eezuw6oFh3Y6jXfRrKisO5F/m0f09kVqIaXmbWwuzTCqh5d1v7KJGu4O1RYfOTU4yS9N+La4VEbSZczgXHg5Wxn2M+xoP1v6YmJbbPRq3bNLoqKhvBgwXptb7idr909l4wVB6oTNC3GyxlIg7bN96aCeL69rsE+vrSJuRd7FvV2Np/fqyFQ0oGs6+nwvGhPLUdZ1PFv8TMLtWehm+zjJenBrFv35J4eu9Odw/Ivi8+yRlKdh4opS74gP45UgRo/u4Udmg5kRRLfXtElEmRnnQ39+JWB8nwjzsTD7Q9j+eTSdK+PevZ8P7Alxk3DrQl6/25lCr1BDp5UBBtZJ6lRYrCzHJiye0O47xsZUY1RlLCSRlKUjKqiSvUgkYJgXjjfXXh4e6EuhqiwjQC4a66XmVSvKrlHyblMPpMoOw2FlZdEiy8XK0xt9FZvJT+7vISM6r5tuk3A7v2dxhAV2G/N377SEO5VRxd2Ig8SFyfJ1kXP9/u4j1dWL+mFC+3JPN9owKjr84EUeZIVyxoErJ/JVHOF5Yy81xvjx3fQRSCzGZ5Q2mUMHKRjUiEQwOdGFqrBeToj1xN05srzqYz/NrUk1jmz/2/G6a87Ejo5y7vznE8vuGMCLs4koF1DZp+CW5kOX788hRNFLbpGX2ED9mDw3oUA6hpLaJf61OAQyT5G/dGttlEbOeUt2o5q0tGRzKq8LRxhKtXs+9iUF8fyCf+FD5P9Yi74pLFX64ChgNuAJlwH8EQfiqq+3NFrkBQRC4/7vD7M5UsHHhcFMBq85o33ih9fKwIDl5VUpSCmt47IdjQFsBtLYUE+XlQIyPIzG+TsT6OhLiZmcMTdMy4NWtNLdqGOFoY8mncwbw65EiNp8o5bf5iYx7dycAd8UHcF1fzx5NPpXXqdiRUcEPh/J75AoZHmqoG/PLkSIamrWsemAYcf5OnYav5Sgauf+7Q2S1Cv+L8LBn8xMju2xakV3RwHUf7CIxRM7xwlqkFmKUah2v3xTDf34/ST9fR1IKa00XrxbUWj1vbDplyoq1t7KgvllrEO8AF6bEenF937Pi3Z6DOVXM+GwfAG/dGsuMQX7dfk86442NhrEc/8/ES9b0WK8X2J2pYFlSLn9llCMWiZgU7cnc+ACGBrmw9lgxL649gUYn8MKUSOYM9b8kceo6vcCPhwp4a0s69SotE6M82J9dacpS7WkDkr8b5lorF8jlnjUvr1Mx8YNdBLjI+OXhhC7Lw3ZnHKmFtdywZA/vzejHjf19yKlsJLWwltSiWlILazlRXGuqAW5jKSHa24EYX0eTILVm1QPDUGl03PPtIRZPjeLV9WnG/cRYSsQsnTuwww8r2suRPGNstSEK5Oz/pe1C9s7HGzfHMGuIP4IgMO69nXg6WLPygWEdttPq9Hy5J4f3t55GaiFmxiA/vtqTY3o+2NWWbU+OYn9OZaef2esbT/HF7mycbCypVmqI8LSnvN7gh/1g6xkEhDbJR9kVBst7fUqJaeISIDFUznsz+nc7pPS3o0U8/qPhonv/8CCeuz6i26WB2zP1o93YSi348cH4C9r/fORXKllxII8fDxW0mROJ8LTn0zkDe1xwrCuOF9SweO0JUgprGRrkwivT+7I9o9wctdIKs5BfIC1C9dHMOKK8HUgrrmPBD5fWImjpP/nUhHAWjLvwW+2P/jzDu1tPc3jR+E4jIHR6gRxFAymtxP1kcR1Nms79wq52VigamnGSWVKj1PDx7AG88GsKTWodUgsJUV72HCuoxdVWSlWTuo3fuWX/ALmMABcZ/nIZgXJb/I3LLsaQPb3ekMGYlKXgz1PlHDBmnIpEEOvjiNzOir/Sy02dgFpzsriWZ39J4URRHZOiPVk0NZJ5y5Ipq1PxfzPjmPPVAdO2fzwxknCPjnc89SoNMS/90WbdwrGhPDmxD4Ne28q4CA8eGh1icpuklRj8wYMCnJkS60VfH0deWZdGalEt9w0P4tlJEaYJ3vPxwLLDpsnGhBA5H82K63HYYY1STdyrW3l8XDiPjb94N8252JBSwqMrj5iWbaUSbh/sz9z4gIsS86pGNW9vSeeHQwW42Vnx7ymRTOvnbS5l2wlmIb8IkrIU3PPNIZP7wd7aAnd7K+S2Vjjbtu1R2bpPZcuyTCo575dywaqjbEot4bdHEy84ffnWT5No1upZt2B4t/fR6QWW78vlpXVp5932vzf1pVGl5X+bz3bokUrE6AWBUeFuDA12wd/FEFvt7yLrcQbhpzuyeHNzOk9NCEerF0jKUnAot9r0fHywnMRQOQMDXNiRUc6Xe3Jwlkl5dXo018d48b9N6SzdmcUXdw5iQpQHOr3AhPd2mqIp7h8exKKpbTM6m9SG0rwtLBgbyvcH8nlqQjj/blcaYGCAM5NjvJgc49nGF9ys1fH6hlN8ty+P/n5OLJkd163ensU1TYx7dydNGh1SCzFudlYsnTOQmB7UYdl8ooSHVhzpcXJUT2ho1vLaekO4bISnPe/N6E+TRst3SXlsTC1Bqzd8/nclBDAqvPsx6Tq9wA+H8nl7Swb1Ki33JATy2Piwq9qlqLdjFvKLZPFvJ1i+Pw+JCFo30vFxsqFZq6daqe6y6JTUQoyLzCDwcpPQW7ZZFiHi0ZVHcJZZsvvZsT2Ox65Vaoh79Q8eHdN1CnhXLN2Zxf+MYYh/PTWK1zems+1UGSPDXdl1WnGeveGR0SE8c12fi7KgqhvVjHx7O4MDXfj67sGAYQ5h2Bt/UlbXzP3Dg9ibVcmpkrYREo+PD2NyjBfVjWpmfrGf2wf58b9bYtts09qNAZDy0kRTrZVFv6WyYv/ZKKAFY0NZl1JMrkJpWrdoSiSTY7zwPk+t7I2pJTy7OgWx2NAgYXzU+WOoW8o2PHNdH1YeyKeioZnXb4rh1oG+590X4MW1J1idXMixFyd2+06gJxzIruSpn49TXNPEvJEhPDEhDCuLs3748joVqw4W8P2BPMrrm/F3kTFnmD8zBvl1aAzSmmMFNSz+7QSpRWfdKH08u54julL09gQks5BfBC3ulTlD/Vm+P4/p/X3Yn11Jemk9MqmEG2K9uX2IHyGudqZu82ebERuaELduSNzy1z6crTX2VhY427YSf5kUF1vLdstnn999RsGCVUc71NzuLoHPbQBg/YLhaHR6bvokiRenRjF7qD8RizefZ2/DbXacvzN9fRyJ9XUkxscRX2ebbov7a+vT+HpvDpseG2n6QacV1zH5w928flMMN/Tz4s3N6SbR9XeRIRJhiohp4T83RDEhyqODRVyjVNP/la2m5U/uGICNpYR7vj3UYSz9/ZyoalSTX6Vk25OjCHXvfip7XmUjj648womiOuaNDOaZ6/p0WYQMDNb8pA92A4Z5iSd/OkZSViV3xgewaErUecV53Ls78HOR8e09Q7o9xu6g0uh4948MvtyTg7+LjHdv63dOi1+j07PlZCnLkvI4mFuFlYWYG/v7cGdCANHeZ+8wqhrVvLU5nR8P9043yrmCCnrD5KpZyC+QLj/YWXHYSCX8cLCAdSnFKNU6IjztmTXEnxv7+5jC1c6FRqenRqlpI/SPfG/wQfbzdSTQ1fbsBaDBcIFoHV3SGcGutrjaW5nuAFxsLXGxtTJcBFrEXyZFbifFxvKsy6dFyFv8wzOW7qOopontT48mfNEmAPY/P45ZX+wnR9HY4bxejta42lmRXlqHxnjL4iSzNETKGMW9r48jPk4dxb2gSsm4d3cyvb83b7dqvvH2lnSW7szmfzfH8N7W05TVqbgnMYinJoabemUWVisZ/ub2DuMJkMtIMIY6JoS44mIrRRAEnv0lxdTguit2PTOGHw/ns3RnNqdemdRjS1el0fH6xlMs25dHnL8TS2YP6ND5prXl1xI+ePtgPwJcZFQr1XyxO4fBgc58fMcA3O07n0Atq1Mx9PU/eWFyBPNGXjpr8URRLU/8eIwz5Q3cMdSfFyZH9shNdqqkjmX78vj1aCEqjZ5BAc7MGRZAjVLN+9vO0NCs5d7EQBaO611ulGatjuX78vjvhlMIGEoyONhY9hoRB7OQXzDdudWqV2lYd7yEVQfzSS2qxcpCzJQYL2YO8WdwoHOPrI16lYZJH+zGUiJi42MjOjT3bVLrqDIKe4vFX9moNkWVXN/Xs82FoVqp6dLlY2UhNgl7WiuXxRPjwzlWUM32jAqGh7qyJ9PgXnn3tn68sekUigY1wa62bTL5wGDNh3nYkVFab5pMTSms5XRZvanYlYut1CTuMb4GgX9rcwYbU0vY/vRok/tCEARiX/6DeuNdS7iHHW/eEktcq9ZvcNZHvGBsKE9OCOd0WQN7MxUkZSnYn11lCsF0tLHsNAu1BTsrC7Y8MZIJ7+1kRJgrYpGI9NJ6tj89+pyf17lYn1LMc7+kYiER8d6Mfm3S1dsbCLd8mkRyXjVLZscxNdab348X86/Vx42hoAPbtLxr4dejhTzx43HWLxh+ScrCanV6PtmRxYd/nsHFVspbt8Yyuo/7+Xfsglqlhp+TC3htw6k261fcN5ThYVdfGAVBICmrktc3nuqQ1NRCi2HTWzAL+RXiRFEtPxzK57ejxTQ0awlxs2XWEH9uHuDb7bKrSVkKZn9xgDvjA3hl+nkTZU0uiM5ikvV6gXqV1iD+jc1UNWpMbp8Wwc9RNJKcV93F0Tunv58Txwo6xoQ/ODKYidEeBqvf1gp7awvUOj3ppfWkFtaQWmQQ9zPlDR0uMAvHhZms9y93Z/PFbkMY4RPjw3l4dEgHy7i8TsV1H+zC19nQqae9CyO/Usmbm9PZkFrSrdeU9fpklhobK4Mhhf4ro7/+QslRNPLo90dIK6njwVHBPD3xrKtl84kSHl15lJvivNmaVo6yWct1fT1ZMtvQbu9USR0PLk+mpLaJl6f1ZfbQtnV5nvn5OFtPlXFk0YSL7rCTVdHAkz8d53hBDdP6efPK9Ohz+ri7Q4sbpXUVSTBYupP6enJXQiCDAnpm6FwshdVKPth2pkODkRamxHgxLtKd1zacYs5Qf1YcyDdb5F3xdxbyFpRqLetTSvjhoCEJRioRMzHag1lD/IkPlp/3h/fyupN8sze3W9bLJzsyeWtzBgdfGNdlEsq5aKmc18Lj48OYPdSfz3dm82WrmGwAPxcb4vycqVaqSc6rNsWld4VELMJZZtkhqkdmKaGsvrlNf87OSAw1FJWK8XVs42IQBIG7vznEgZxK1i8YYfJjF9c0mep5txQBi/FxZEqsF2Mj3DmUW9Umk7U9/zezP29tzqCopol7EgP5zw3R5xxfd1BpdLy2IY0V+/MZGODMR7Pi8Hay4aXfT5qyUReODUUsFvHBtjOsfGCoSThqlGoW/nCMXacrmDXEj5emRWNlITE10Y71deTTOQMveGx6vcCyfbm8sSkdG6mEV6f37XHv0vbo9AKrDhqiURqbtdw7PIiF48Kws7IgV9HIiv15/HS4gDqVlkgvB+6KD2B6f59LlszUGqVay6qDBbyx8ZTprrA1wa62PD85kvGR7ohEIrOPvCf8E4S8NRml9fxwKJ81R4qobdIQIJdx+2A/bh3o26X/U6XRMfnD3ajUOjY/MbLTjjYt3P7ZPupVWjY+NuKCxrd8Xy6L1xrKrUZ42mMpEbNuwXDUWr3JP97Czw/FM9g46dU+LLM9IW62jI/0oE6lbXMXUG10+5yns1yXRHjaU1ClpFGtY+HYUG4b5McfaWVsSCk2ZY729XFgcowXU2K8CDC2PNPq9Mz4bJ9pm36+joS427HmSFGX59rx9GgC2tUvuVB+P17M87+kILUQ8/j4cF5ZfxKdHh4YEcQvR4p4b0Y/Fq89gbWFhI2PjTBZ7jq9wHtbM/h4exb9/ZxYOmcgzVodo97ewavTo5kbH3hB4ymuaeKZ1cfZm1nJ6D5uvHlL7EXXyD+SX82La09woqiO+GA5r0yPJqyT+H2lWsvaY8V8l5RLemk9DtYWzBjkx9z4ANPndSHojGGrb25O50RR5+6SpyaEc8/woE4jw8xRKz3gnybkLag0OjafKGXVwXwO5FRhIRYxLtKdWUP8GRHm1iH+9mh+Nbd8msTNA3xNPTjbU6/SEPfKVh4YGcyzkyIuaFz//jWV742FuOaPCWXJ9kx2/2sMfi4y0yTokEAXjhXWcMdQ/zZW6urDBTxtrLcB8Mr0aF5ce7YnqL+LjMfHhzG9v0+b16fTC4x6ezuF1U28Oj3adCEBg9VfUNUEGHzjLXVXukuoux1xfk5nY/qNcf3fH8hje0YF9tYW1Ku0/PfGvmQrGlmWlIudtQU2UgnFNaoOx/NxsiEhRE5iqCsJofIuL77dIbuigUdXHjWFUcptLUlePNFk+d2TGMi7f5xm0ZTIDvV3Np8o4amfjmMjtWBkmCtrjhbx51OjetwgQhAE1hwp4qXfT6ITBBZPjWLmYL+LulhVNjTz5uZ0fjpciIeDFYumRDE11uu8xxQEgcN51XyXlMvmE6XoBIHR4W7cmRDIqDC3brmMchSNfLI9k5+7cJdMjvHkyQnh5yyBca1gFvJeRnZFAz8eKmB1ciGVjWp8nGyYMciPGYN92ySbvLMlgyXbM01JLu3ZfKKUh1Yk8+O8C+/ActvSJFPizZ3xASzbl8eiKZE42FiaiiJFeNrj6yzjZHEte58d2+YHNuvz/ezLrjQt35MYyE+HCmhU67AQi9DqBcLc7XhyQjiT+noiEolYe6yIx344RoibLQVVTdhIJSyeGsUtA3x4c3MGX+7O5tC/x7epj11QpWTZvlyT7/xiEYnOlkx9dXo0M4f489vRIp5pdWECmBTtyb7sStNkaZi7nUHUQ+QMC5Gf826pMw7lVnHb0n2m5X3Pj8XL0YakLAXHC2o4mFPFodxq/npqVAdX2ZmyeuYtTzZFDuW8MblHAlzZ0MwLv6ay5WQZgwOdefe2/vjLu1dGuTN0eoGVB/J4e0sGSrWO+4YHscDoRukpZXUqVh7IZ+XBfCrqmwmQy5g7LIDbBvq1iQKrblTz69Ei3th0yhQh1ZpAuYznro9kXKT7OUM/r0XMQt5LUWv1bE0r44dD+ew+o0AsgtF9DFb6mD5u6AWY/vFeKupV/PHEqA4Tps+vSWH98ZJzNk0+F4Ig0O/lP0wx7Z/cEceCVcc6TESKgMfGh/HBtjP8+kiCKXqkxZKcMciXpTuzOz3HY+PCWJ9STFZFIzE+jiwcF9amX+iUGC9emhaNm70VgiAw8u3tBLva8d29QyirU7HJ6PM+nFdtEt5obwc+mhVHsNEarVNpOFlUR2pRDSmFtZwoqiW3XYx5axJD5WSXN1JSd9YCl0klDPB3NkXptBDuYcdPD8ZTUNXE3iwFezMVHMqtQqXRIxZBrK8TiaFyEkNcGRDgfM6elIIgMPuLAxzMrTK9xy62Ut6b0c8UIZKraGTi+7uYEuvF+7d37Lla26Sh38uGsgI3D/Dh9ZtiutUH84+TpTy/JpV6lZanrwvnvuHBF9UZqLUbJSFEzsvTOnej9BS1Vs/mk6UsS8rlcF41YhF4OFhT2aBGrevcjffE+HDmxgf0uI/rtYZZyK8B8iuV/Hg4n58PF1Je34yHgxW3DfSjn58Tj3yfzIQoDz6ePcBkgQmCQML//qKfrxNL517YhFdJbRPxb/xFtLcDJ4vrSHpuLPNXHjlvlcIRYa7UqTSkFdfRz9cJN3srjuXXtBHG9lhKRB0sqH6+jlzX1xMLsQixSERaSd05fdZgCCX84Pb+iMUi034WEuOjWITEuK5RrSW9pK6N26YzxCIYFe6Gk0xKeml9h+zRFpbOGcCkvl6AIeb4aH4NSZkK9mQqOF5Yi04vYGUhZlCgszGG3ZUYH8c2Yrk9o5x7vjnEyHA3dp2u4M1bYvhmr8FP/OiYEJ4YH46FRGy6E/vpwXiGBLVNxEkvrWPSB7tNLqi+Pg4snTOwy7IAdSoNr6xLY3VyIVFeDrx/e/+LyqK8UDdKd9HrBU6V1rEsKY8fDxd0uk2ouy33JgYxa8jZqou9yZd9uTALeS+n9SSLVqfnr/RyPt2RZQjxa+UCeOe2fqb07dNl9Ux8f5epUuCF0JKMMmOQLz8dLmTlA0OZ/cWBNttEeTm0iTMHiPN3orRWhZWFGGtLCTq9gE4QTF3knWSWaLT6Lhs1/B1wsLbA09EasUiESqM75x0A0Gns/Q39vLEUi1hz9OzFa1o/b1xspWcjWsaFYWUhRiIWIRGJ+G5fLoXVTTwyOoTTZQ1sO2UovHX7ID+Gh7katjNueyi3is92Ge6UhgS68PiEMKwtJW0ugBKR6Ow+rf9EIizEYsRiQ/SRCBE/HMrn/a2nL9qN0p6WaKO3Nmd0anU72lgSKJdRVKNC0dCMs8wSlUbPuzNimRzj3euiSy4XZiHv5XQV9vTytGiyKhpYdTCfsjpDF5gb+3uzcFwY206V8frGdJOP9UL4fFcWr29M5+Vp0fzn95OIRWBtIUZprGQoAr6/fyhu9lZMeH8X3o7WFNequkxCSc6r4pZP97WpVni8oIbpH+/tsK1MKukyfPH7+4cS6GqLXi+g1Qs8uzqFg7lVvHRDFAMDXNAJAjq9Hp0etHo9+pZHQUCrE9ALAuX1zaaJ17viA/hu3+VtLxjiZouXow06vUB5vapNbfSu8HSwRqs3jLeqm52FegtSiUHkLcSGzksWEnGbu6L2F4XWy01qHRll9ec9x5BAF/zlMsOFR2xoX7InU9GmNIO9tQUiYOmcgSSE/n1FHMwdgno9CSGuLJkdxyMrjuDpaE1BlZL/mxXH+EjDBOeCsWEs25fLy+vS+O1YMb8dOxt/7XwRiRsZpQ14OFiZrCq9ABKJGIxC7ulozfxVhgvM+Eh3tp0qBwwFojoT8oEBLgwLduHzXVnMGebPzowKFq/tPG67KxGfPyaUxFY/yK1pZRzMreLBUcHcnRjU6T7tEQSBecuTkUrE/L4gkXe2nMbGUoyAoc2bk40lNU0afJxsuHmADxml9Zwuqz+vVX0usioaUap1DAkyNJcYGuRCqLsdIpGIM2X1THh/FwDOMkPtcwAbqcQUERMfLKeyUc2j3x/hdHk98UFyqpvU5Fcq2frkKJxlUvacqeCB5clMivbklRujDXdCeoG6Ji1P/Hisgzj283Xk6ev6IJWITXdNWr1gukCaHo0XQMMF8uxfeb2Kj7dnmY4X4WnPxGhP9PqO2+o6O6ZxWaXRkZxfTY2y6+zaFoLdDJ2jdHqBkromCquVbc6l1QvYSiWmu72W7N//bjzFXfGBTOvv3a05g78TZou8l9E6SURqIWZCpAc3xvkwKtwNqYWYb/fm8NK6NOS2UlNvSCeZJTfF+TBriH+nNbfPxdSPduNkI2V/diVavUB8sAsLxoXxxsZ0UotqEYtgxf1DSSmsZWCAsynaIsjVlr+eGtWpX3T3mQrmfnXQtOxub8XYCPcOGX6jwt2oU2lIL6nvUBN91hB/Fo4LxVIi5rr3d+HuYM1vjya0qbx3Ln48lM+zv6SyaEokcf5O3PLpPmwsJSSGyjmcV838MaG8tuEUz1wXzqNjztbx/ulQAf/6JYX7hwchFotMAl9S27Xv/1zYWIoZEebG0YIaKuqb+f7+ofg42TD6nR2Eutvh7yLjQHYljWodIpHBjTUwwJm/0ssprG5ChKHB8YxBvtwY58NDy5OpU2lNqfytUWv19P3PFpNr4r839eWOoQEXNG6dXuD7A3m8Y4xGuX9EMAvGhna75oogCGSWN/Bnejnvbz3daa6Bn4sNj40LZ2yEe48nKbemlfHg8sOIRSLuTghk5cF85LZSCqqbcJJZcvsgP+YMC+h2Y/NrBbNFfg2QlKXg9+PFzBsZzHdJuTRr9WwwRmw4ySyZGuvF9P4+xAfLTeF+j44JIbdSyYr9eXyzN5eBAc7MHOzH1Fjv82bK6fQCZ8oa2vzInp8cSayvEwmhclKLatELhruFhBBXBEFggL8TR/JryFE0klFWT4SnQ5tjCoJAaTvRK69v7iDirnZWLJ4aSai7PXUqDb8dLWoTf77qYD6rDp4tL7vygWHdFvG8ykZeXpdGQoghK3TmF/uRSSUsmR3Ht0l5+LvITHcD7SdfS2pViETw9HV92lh1LWUQwDDRu/vM+cv7AjRp9PzRqlP93d8cNJ3zjqH+zBrij0QsIqWwhr2ZJSmbdgAAIABJREFUlezNVLDqYL5pm5bR/XS4kM0nSrm+rxc/Hi4gvl2o6Zmyep786ThqnR65rZQqpZo3N6UbLho9rJeSnFfF4t9OklZSx/BQV16aFt2tCpDl9Sr2Zir4NimP452UbwDD93VqrDcRnvYXPDm663QFD69IRiQS8dncgYyL9GBspDvzVx5l8dRIjuTV8OWeHD7fnc3YPu7cmRDIiFDXiy5j0JsxC3kvob2PfHQfNx5anoyLnZRchZIapYYV+/NZsT+/TRTEgrGGyavKhmbWHCli1aF8nlmdwivr0rgxzoeZQ/zalBFtTX6V0iTiQa625CgaTWnM2lYCV6/SYG9tiUgkYt7IEB5akQzAxtTSNkKeUljDtCUdfeELxoay9lgxVY1qdj4zmmqlhllf7Gfm5wf4Yd5QQt3tiTG6aeYOC0Cl0XVI7lh1MJ8nxoeft6qkVqfn8R+PYSEW8e6Mfuw6U8HBnCpemR7N2AgPXl1/iihvBw7mVBHl5cDj48Pb7J+taMDb0abDrXmUtwMLx4Xx4Z9nWDA2jC/uHMTL69LaXGy6Q+sLx8vr0nh5XRr9/JwYHipncKAL9yQGIhGLOJRbTVKmgr1ZClOGorWlhLyqRiI87U2dhPR6ga/35vDWlgxspRI+vWMA18d4kV+pZN7yw9zz7SGentiHR0aHnFc4FQ3N/G9TOquTC/FytObj2QOYHOPZ5X5KtZYDOVVsTCnpMhlnQpQHs4f4MzTYpUMBuAvhQHYl85Yfxllmyes3xTDO6HpscU2mFNby8R0DKKltYpUxJv2urw8S5GrL3GEB1Kk0DAly6bWZmxeK2bXSS+gqNfhYQQ0ySwnv/HGahmYtQa62uNtbmVqiAbw4NYob+nmb4rAP5lTxw6ECNqaW0KzVE+vryMzB/kzr790mwuCxH46y9lgxPk42vHFzDHd+fdAU7vbi2hMsM04OfjgrjmnG+hutu+6EuRviqzeeKOlQv+Th0SF8uiOLMHc7/ntTDDM+28fTE8NNXeMzyxuYaazv8sO8Yfx4KJ/vkvI4tGg8jjaWpv6j7Zkc48nbt/br8hb/wz/P8N7W03w4K46pMV5M/WgP9c0a/nxyNBKxiIjFm7g7IZAV+/O5fbChdklrbvhoD04yS5bfN7TDsZvUOsa9uwNnWym/zx+ORGxIbHp+TWqn/v7r+3ribCtlpTFrVioRdxkH3Z65wwKM8wQCz61Jpa+3oym+/d7EIF68IYqCKiVP/3ycAzlVjI90542bY3GzP9sq7qM/z5CUXcm+rEomRXvyzox+pBTWtBGtpTuziPZ2ILuikXf+yECl0TEp2oswDzsWtms7qNMLpBbVsut0BZ/syOzQ2g/A19mGB0eFMDrc7f/ZO+/wpgr1j3+yuvemey+gi9GWJUumyFIBARVB8IoXxb333ltUFC6CIIKIICDKhtJBC7QUaEv33ntm/f44yaEhLcPr/N1+n8dHSpKTNAnvec/7fsfvPtY4WVTPgtVJuNma8e2y+B7jDC9Fp0pQU/8noYC0ogZMdcZrL0wfwJwhXv84tkvfaOVvjp66Af1IA2DywH68sPMsP6WXG/mBv7DzLC/vOseIQCdmRnswob8rsf6OPDetP9tOlrAppZgntmXw0k9nuTHSnblDvVGqNWzXLUx3/nuEuCRT6QpNV7dxy54z5WIhl0kl3DTYkzf2ZJFT1UL0i78YvJbVtw1mnM6AKNTNmvs2neKWz47jYm3Knd0yNwNdrNi0NJa5nycx9/NEalo6GRfqgq25ApVawzM/nsHGTM6e+0dR3tjBM9vPkFnWxK6MCnZlVBDias2mpXHYW5qIJ0ELEznv78thepQ7TlYm3P/tKc6WN/HunEhM5FJKG9pRqoXFYLtSbcTP1mq15FW3cHMvqfbmJjKG+Dqw/XQZm08UM2+oN9OjPEgtrBdPet2x+0yF+Ofjj4/F2cqU3OpWJr4nLD0nD3Ajq7KZgppWI9+ZrxML+Trx4jGbOy4uCU3kUjanFPPUD2eQSuGNmyK4eZCnaPqkL9SDfO1Zk1DAglhvNqYUM+HdQ7R2qvl0QYx4LDO5lDvWpKDWaBkR6MSMKHde2X2eebFeaLVaCmvbOHqhRkgh6mVcsnSUP9eHuxLlZfeHKSkzyxq5/atkHK1M2bAk7qqKOICpXMb0KA+mR3mQUdLIuuMFbDtZyqNb0/lgXzatXWo+mR9jUMT/7n4rPaGvkP9D4GojXOrePEjgfYMgRS6obcPSRMbCeF92nC7j/m9PYa6QMbG/sCRdEOfD7cN8OVncwKbkIrafKjOYV0skYG9pglw3rtGPVkob2sX7HDhfTWVTB4eyq/kpvZxD2dVGr++9OVFMjzJMerkhwp37NgkRayuvDza6tA50sWbjXbEimyOsnzCm+fRgLieLGnh/bhTudua425nz04qRNLYpeebHM2w/VUZWZTPRL/6CXCrhuRvDWb4hDVO5DFdrU26IcGf5hjRM5FJC3ay5MdIDEARXgChaGnJJ4k1VcyetXWr8nXs3bZozxIufMsp5Zdc5pgzsx9fHC1h3vBAnSwVNHepeO+7TxY1MGuAmqjnfnxvF9CjhdXUo1eRWt5BV0UxWZTPZFc1klDZR09J58fEljeKfVx26yCKxksvx1IV1dO8uATztLJge6c76pELUGi1lDR2YK6S0daqpbhbGKFvThJGIRAIFta28+NM5bh/mw5YTJUZ6Aj3GhbowPdqDEYFOf4qSMqeymYVfJmNlKmfDkljcbH+b181AT1vevDmSJ6aEsfybNBJya7l3TKBRJx7hadurA+LfFX2F/B+G0SEuDPVzIDm/Tiy2rV1qzBUyjjwyhtSieradLOWn9HJ+OFWGk5UJ0yLdmRntweuzI7j7ugDGvn1IPJ5WCw9sPkW4roiqNEIhyulmVNWuVBP7yj5AMMHqvmwFSH1qfI/p793Hdm69uOoFuVqLKscvj+YT5GrF+/tyuDHSXSx0ethaKHh/bjTvzYnio/0XePuXbFQaLU/9oF+SKjFXyHhky2lmxXjw5dECXpk5UNwpFNcJhbyisR1/Z0uDMQQIntwA/k69L/aGBTrxwvT+PLHtDMNf20dLp5oAJ0umRboz1N+ButYuHtuaIQZa6HH3+lRmxXgQqlNURnraibeZKWT0d7c12mU0dSjJqWwhu7JZTN25FC2dKm5dLRRcc4WMGyPd2XOmguUb0kSKo42ZHKVaeD3tSg1L1hmPNbVaKKkXvk8f7LtgcJuHnTm3xftwXYgzIa6/fUn5W1BQ08r81UnIpBI23BX3u4xrzlU0cb6imRVjA1mfVMQwXYoUCGEYLR0qhvjas/DLZCaGu5KYX/e3H730FfJ/GNq71JwqbuDO4X7cGuvNUz9kkJhXx7u/ZuNuZ8bNg70Y4uvAs9PCOZhVzQ8nS9mQVMSaYwW42ZhRoetGt9wdz006KuHezEpRFv/mz9mcLm4U79cd3y6N4+fMStYk5BvxeHsq5N3l1Z8ezGVMqDF7QqPRklPZjI+jBTXNnWIH/+JlAjUkEgn/HhfEvWMD2XaylAc2n774/ijVtCvVfHm0gME+9ozt9pxFdW1IJFBa386NUcae23pV6uU6coBbY314cedZWjqF33/bvcMNjLMGuNsy+q2DRo/rbj3gcxVGVTZmCgb52BPoYsU+HX+/OxbG+RiMX9qVaoP3XCIRfGwSLtQyPdKd7Vfwfu+O2+J9GBPi8rstKX8LShvamb86CaVaw7fL4vFz+u32tnpcOhOP8rZj6bpURoc4U1DbSmZZk6iidrE2ZdeZClaMNe7a/274/2UN9j+AxLxaulQaRoc4E+hixca74njmhnAAHt6SzjPbz9DSqcJULmNifzc+XTCIlCfH89KMAQbF+bavBJ73i9P7s+/B67DTsUHOlTfx/r4cg+e8IULwF7lv0ym+OpbP/FhvEp8Yx6T+bgB8eUn4BAiMhvd+zWGwjz3PTgsnuaCO5G4LWj1OFtdT3tjByvHBDPTsFtLbdmWVo0QiYVSwM469XN6fKKxnS2oJ7boTTlFdG1qtcAVz6XwchEJurpD1evWgx5t7ztPeTfmaWmD4e3k7WBjR9S5lvj2/46z4ui6HIznVTHrvsCjD/3R+DJMHCO979yJuZ6FAIZMwMsiJ2TGeBLlYodXCzvRy6tq6rqqIvzJzIB/MjcLB0oRJA9wYE+rylxXxqqYO5n+RSFOHkq8Xx16zPqI3pBbUc/cof47m1DDzk2PctS6Vlk4hBOZMaRPOVqYsG+XPGzdFoNJoxa49Iffq6KZ/Ffo68n8YDmVXY6aQioVIIpFw5wg/7C0VrPz2NOuOF/LL2Uqendaf/JoWIr3siPd3JL1EWFTNjHanvlXJQd2c++ntmVc0ldqZLkSlVTR1GNjlPj0tnD2ZFXydWMiLMww76C+P5FPd3MmqBTGE97Plo/0X+OjABdb5Gaa9/5RegYlcikImJTGvjpFBTpwta2Le54lsWhqH72W6MK1Wy2NbM2hsV2KrC8n96mg+B7IuzvAf3pLOCzvPMivaQyyGAEP9jC1/82pa8HOyvCzf+LXd51l1KJewftY8MimURWtSuHt9GmsWDRG7tu2nS7lQ1cL7c6NQyKQ8uiWddqUaM4VUZLesTSjgcE41794SRaSXndHztHWpeG33eaNxyr904dx6mCtkvDZrINOjPUjIrWH5hjTmDrElp+raPNy7e/g4WZuSXtL4l3WhtS2dzF+dRFVzJ18vjv2v8kj15mbHcwX2zsnieiPtgIlcyoRwV2YP8mRkoBPJBXUGXXtcgOPfntnSV8j/YTiYVUW8v6MRz3lmtCdJeQLtsLyxg7vXpxLtZceqQ3mMD3Nha1opk/q7svdsJSGuNr0cXXAoDHWzIaO0ERdrU6qaOw1ub1eqUWu0yKQSg2T4zLJGccZb29LJZ4fzmBDuyiAf4YSzeKQfb+zJIqOkUey8NRotuzLKifS05bkdmQS7WvHFbYMprG3T8cwvX8y/TSnm13OVjA11YclIP91iqtagkIMw+rnUZ6WnLj6/pvWyRWNTchGrDuUywN2G7+4ehrmJjCUj/Fh9NJ/tp8oYFuBEh1LNWz9nM8DDhmkR7kilEvq727D8mzSjxJq86lZmfHKMf48N4t9jA0XGx+HsavGK6VIsHeXP6GBnzE1kzPokgVHBTowPd+XV3ef4TGcj/Gm3ZWh3jAxy4ubBXowIdMLeQoH/E7vEMcJD350mr7qFByeEGLCl/mw0tilZ+GUyRXVtrF00lEE+xqHTl4NSrSG9pJHjuTUcz6vlREF9rwlWMd52zB7kyQ0R7tiaXxyNpZc0GhTt7hz1v2sh7+OR/4NQUNPK6LcO8vyN/bl9mK/R7c0dSia9dwSJBG4Z7MWqQ7k98pv72ZqJkvP8V6eg0cLWtBIxROJSRHraGrAmPOzMmTPEi1sGe3GquIG716dib6Hg5DMTAMFm4OvEQn6+f5Q4YmjuUDL8tf0MC3ASLXdPFNSJc3qFTML25SMIdxdOMucrmrj1iyRM5VI2LY0ziv8qqGllygdHiPa24+s7Y5FKJVQ1dTDqzQNoNNCl1uBpb868od58cSTPyOPDxkzOrBhP5sd6E+RqTadKTdjTe7h3TM+p6V8nFvL0D2e4LtiZzxYOEk+kHUo1Uz84QluXmp9XjmJzipAaf2nWaqdKTchTewChi/ZzsjRwlJRKYMrAfuLVjx6TB7gx0NOWN/ZkiTx8rVbLmdKmHnn2lyLIxZIPb42hrqVL9MwZFuBEcn4dcz4/TrSX4GJZpvs+jAxy4sN50f918PJvQUunigWrk8gsa+SL2wZflSJVrdGSWdbI8dxaEnJrOVFQJ+5uQt2sMTeRUVrfTnVLJ1qt8N2fFePBrBjPa05W+jugj0f+/wB62t91wc493m5tpuCtmyOZ94XAy376hnAe/z5DvN3F2pRPFwwi2suOkW8cYLCvkGAuk8CoIOGYoW7WnK8wNF46XdIoFvOFcT7k17Tyzi/ZvPdrNmN0/9jq25R0KNVUNnWwIamQWwZ7GcyJrc0U3DHMlw/2XyCnspkgV2uDovXghBCxiAuvw4YNS2K5tVtn3j17U6/efOvmSHEU8sH+HFRqLXtXjmLxf06QX9OKlamcw4+M4eHvTvNz5sXRip+zFRuSClmbUMAQX3uG+Dqg0SIGVXTHmmP5PL/jLOPDXPh4foyBVYCZQsbbt0Qx+9MEHtx8muT8OkYFOxsFZpvKZUyLdGfH6TLkMomRLbBGi8H78eXtgxkV7IxCJuUn3d8X1rbR/5k9V2UNPNjHnuVjAhgTejFVSt9VRnnZ8fCW03jZW7B+SSxqjZYnt53hx9NlHMmpIf7V/Wz91zCDz+OPRnuXmjvXppBR2sgn82N6LeIajZasymYSdKOSpPxa0TQr0MWK2YM88XG0pKyhnQPnqzhf0YyZQsqMKA9mx3gSH+D4X4Vp/F3RV8j/IvwW0cGh7Gp8HS0uOzeOD3Bk0XBf1hwrMLqtqrmTD/Zl8+L0gZQ2tHOr60UPcz2VUV/E++sk6cu+FuT4+o7868RCXp89kMcmh7L7TDmbT1yUZoc+vYdobzvkUikrxxuqAgHuGO7HF0fy+eRgLm/fHCmagw31deCuS/IpQeCVb1gSx/zVibqZeTzejhZ8fEDwaf9wXrRo31tY28qm5GLmDvXC39mKZaP8eez7DN79NZvpUe7MivE0KOSZpY1cH+5KP1tzDmRV8clBYRyxIamQAR42Yr7jF4fzeHnXOSb2d+XDeTGYyI35AVFedtwzOoAP9wu0vcd6yE7VaLTs0C0cTeUymlEZ3UePWD8HvBwsOJpTw96zlaINQG8y+O6I93fk5ZkDejwh6Ucmz/2YSWFtG98ujROXme/PjWJ4oCOPbs2gXRf83Z3r/keiU6Vm6dcnSCmo4705UUzULdFB2IPkVrcIM26dSlVPq/RxtOCGiH7E+TsS5WVHWlE9W1NL+TqxEK0Whvo5cPd1AUwe6Ib1Ncbx/dPQV8j/Ilyr6KBDqSYht4Y5vagOu58YbhnsJRZyCbD69sHEBzjy6JYMdqSXMerNAwAEu1qj1mj56mg+L+86Z3C88WGuPP59BsMCHCmpb2fl9UGs/Fag+T26NQMTuZTxYS48f2N/cipbePfXbABO6pKFUgvrGR/uaqD0c7A0YX6sN2sSCogPuLhsfPuWyF67pHB3oZjfujqRuZ8f57EpYXywP4cZUe5Mi7xIIXznl2zkMgkrdBYAM2M8eOeXbKqaO3nv1xw87YWCr5BJOProWD7af4FNKUVIJRIWxPmQmFdLZlkTKQX1jH/nMEN9HWho7yK7soWpA/vxnm5x2RtuGuQpFnK9YKW2pZPDOdUcyqo2YI142Jtz82BPvk0p7tGDPCm/jgk6kVRPWD4mgDEhLpwqbuClny5+bm/dHMnsGA+O59Wy92xljw3B8dxa1iYUsGi4r0HGq0QiYc4Qb6K97Zn7eSJ1rV3ct+kUJ4saeGpqGPI/SLGpVGu495uTHMmp4Y3ZEdwY6U5hbavYcR/Pq6Vat6fxsDNnbKgrwwIciQ9wxM3GjJSCOraklvDE9xm0dqnxcjBnxdggZsd4/ldZpP809M3I/0LoWQbxAU4czq7moYnBXBcsWHramMkNhBf6BdiaO4b0yMfWnwiemhpmwKse6G7DjhUjxZ+/TSnm0a0XZ+HmChntSjVx/g4k5tWJkW+/rBxFdUsnd65NoUOpwVwhw95CQVljB642pmLIxZWgkEmYO8QbXyfBY7qqudNAmRjoYsVt8T5IACQSjuRU42lnToBuLCNBQl5NC2mF9Qbxc/pwaInudzpRWI+bjRmPTApBIhEETVtSS4yWtQAfzosW+eQf7MsxGFU8NjmUvZkVBs/laS8IYvQzVYlEeF26F4gEeGRLeo/PdSlui/dh8oB+bEopEi0SrgYRnrasXTQUB0sTWjtV9H/2Z/E2qUQYzdw10o8xoS69MixaO1VMfO8wcqmE3feN6tUds71LzdPbz7BFdwXg42jB9/8a1qNW4L+BWqPlvk0n2ZkuLLwDXaw5nlsjzuudrU2Fou0vCHa8HAQFa3FdG1vTStiaVkJxXTuWJjKmDOzHTYM8GeLr8P/a5bAvIehviqe2ZbA+ydhBTy6VYG9pgqOlCfYWJqKSctl1/njYmeNgaYKDhQkOViY46O6z5UQJj28TZuIShGix3JpWnpgSyqwYT2zMFJjIpTz+fTobky8KRzztzdlx7wiiX/wFqUTozs69MAkTuZQVG0/y4zUISfrwx+C+cUGsvD5Y9FnX49lp4ew/X8WRnBpMZBKszBS90uSe/uEM65MK+W5ZPIN9jXn0l2LH6TL+vfHkxZ/vHWHA9f+tqGruIOFCLfd/e8rg7x0sTYjzdyA+QAjZCHC2FJuZlk4VuzLK2ZJaQnJ+HRIJDAtwZHaMJ5MGuP1lfPc/G32F/G8IfRc9PcqdLaklzI7xFDwvalopqG2juK5N9D75s/HxrTGU1Lfx8YEL3Bjpzs70ct6ZE8kXh/PJr2nl4MOjAUHardZqGdCtQ9TD19GC+AAnOpVqfj1XSVOH8Vz4xFPjxeNode7bJ/LreHzbGfwcLcmuaubxyaFIJBKe+uGMQe7lxrviKG9s54HNpxkV7MTx3FqGBzpxsqiBZ6eFE+Vlx1t7s9iVcdG86v25UaKnS/fnnPTeEUzlUgOq2qwYD+bH+tDUruS71GKD4/QER0sTpkb0E7nfb98cSWFdG0dyqsWR05Vw93X+PDY5jLSieh749tRlE4v0V0bWZnK8HSzILGtixdieWTfHLtQwf3USS0b48ZROQHY1KKwVmFL6MvFbwirqWrtI1M23E3JrjCLwnrkhnPgAR0JcrQ26aY1Gy/G8WrakCl7s7Uo1fk6WzI7xYGaMpwH99X8FfYX8b4beMjq7d1NKtYbS+naOXKjh6R8Em9iRQU4U1LZSWt9u5Jj3Z2OQjz02ZnIj3rb+ttTCevHn8H42BLpYGXX3T04JY0Gcj9Fl/rPbz/SYsfnElFCsTBW8/NNZ7CxMUOsixaZFuosK03lDvXh1VgQgeGwPe3W/aGZ1/sVJRhz8utYuYrq5OIb3s8HaTE5Sfh0edubcNMgTJ2tTDmdX80u3kIjuePD6YJaPCeRseRPrjhcYLIF7g7WpnFdnD8TBwoR7N55kQaw365OKxO9AW5eK8GeMT5AgXLGNDnFmZrQnlqYyHth82ujxerR0qpj47mFM5VJ23TfymmPQulQaHtuaLgZEjwxy4svbh/S4+AVobFeSnF9HQm4Nx3NrxQW6pYmMIX4OHNR9X5aM8OPJqWFG3i151S1sTSthW1opZY0dWJvJuSHCnZsGeRLjbfener383dBXyP9muBbWyvrEQp764Qy/PnCdSOnrVKnJrWrl1tWJIkdaLpVgZ66gtq2Lq/lY58d606nSUNfaRWVTB5llTVd+0B+IsaEuxPo5UN3SyabkYgKcLQ3461eCQiZBIZPSoRSsSScNEKwF7lp3QizAT00NY8klDJmUgjoxwu6OYb48NjmUEwX1vLLrnBFNcO4QL0aHuBDsasWujHLe2pt9Tb9jtLcdT98QTrSXnZFj4aUn9HPlzby482yPx5kW6c4bsyM4WVx/xYbgiW0ZbEou4ru7h12zwKY79mZWsFTHYgJIfnIcLtZmtHSqSCmoI1HH5c4sE5KlTOVShvg6EB/gSJy/IxGegsL3/X05LIzz4YXp/cWi3NiuZGd6GVtTS0grakAqgZFBztw0yJPrw13/5zI4e8MfWsglEskk4H1ABqzWarWvXe7+fYX82rDkPyc4X9HEkUfGiF/8quYOln2dysmiBh64PhiFTEKkl52oLiyqa2PLiWI+P2Lsg9Idztam+Dla4utk0WMXuXJ8ML5OFtS1don/bdDN9INcrK5ZCv5n4qEJwYwKdmZTSrEY7mBtJufgQ6MNEnZCnt4tyrbHhbpwPK+Wti41MomE0H7WWJnKOVFYj1qjxcnShH525kR52Rl4nVwNti8fbiTHv/SErtZoeWtvFp8eNFRn+jpaYGkqNzjZ+jtZMiLIiUkD3HptCPRL8mWj/Hl8Stg1vd6eUN7YTvyr+w3+Ti6VoNJoMZFJifK2ExeUUd52Bpz7VYdyeW33eW4a5MkbsyPQInjJbEktYe/ZSrpUGoJcrLhpkJBP6noFz5v/RfxhhVwikciAbOB6oARIAeZptdqeWwn6Cvm1oEulIeqFvcyM9uDlmQMBOFPayF3rTtDQpuSdWyKZPLCfwWO0Wi0708t57sdMGtuV3DM6gKkR7kz/+KiY6vLi9P40dah08/hW8mvaDPyvL8XyMQFEetoJocvnq3h193m+v2cYi9akEOFpywdzo6lt7WL8OxctchfG+aCQSalr7eSHa2BoXA5SCXjaW1BU99vT7kEwturtGCZyKdMi3PFxtGD1kTwWxPkglUj46MCFHu9/NVDIJGQ+P6nXccS58ia+O1HCV8eMT7yJj48TKY0/ni7jqW0Z4r5BKoF7xwRy79ggo2M3dSiZ9O5hzE1k/LTi2kcqenSq1JwqauB4ntBxp+pOat2xfnEsg3zse2XC3PWfE/xyrpIbIvoJrpVppXybUkxDuxI7CwXTI92ZPciTgR62/9Ojkyvhjyzk8cBzWq12ou7nxwG0Wu2rvT2mr5BfGfpODS3cujqJL24bjKWpjM0pxezJrMDBwoQvbh9s5GFd3tjO0z+c4ddzVUR42vL67AhxufefhAKe/VEwyCp4barRc/o+9hMAb94UQUWjMGrZk3n5BR8IHOrJA9zwdbIUQ6ABsQvcfqqU+zad4v7xQaxPLCTWz5E3b46gtqWLcW8fuur4s6uBn5MlEslFS9o/C14O5kyLcCeropl95wXLWTsLhYE1wCfzY7i+G7e+sqmD7adK+T6t1EhNq8esaA/emRNl8HcVjR08vOW0QQB0f3cb3p0TZeAS+OiWdL4YYVSBAAAgAElEQVRLLeb7e4YT1YMxV29QqTWklzaKRlMnCuvoUGqQSASL3mEBjsQFOFLb0sVD312kuma9NKnHgOzNKcU8oqO8+jhYUFjXhlQipE3dOyaQu0cHXHWw9v86/kiJvgfQPSK9BDAKPJRIJEuBpQDe3t6X3tyHS6AXDA0LcEQhkyCTwuK1J2hXqonxtuOzhYMNghE0Gi0bU4p4bdd5lBoNT04JY9FwXwMhx8I4H7GQF9e19WrSf2nUWWZZI//eeFIsjjdEGHqCbEktETnH3fHZ4TyaOlRsTC7CycqUKC873vs1h6kR/bAwkWPhIOebu2K5adVxnr4hnMkD3PjxdBnb0krF6LmrwdwhXiTk1lJU1ybG4MmkEqOu8Y+ESq0V1aHzhnrx5NRwrEzllDa0M/w1YRRxz4Y0LE1k2JgrMJVLKapr63Fh7aSzUn151zkjqT8IgqN1dw7l68RCXtl1jg6lhsyyJm748CgPTwjhzhF+HMmp5tsTxfxrdMAVi7hao+VsWRPH82pIyK0lJd/Qr2TeUG+GBTgx1M/BwFwKYFSwE0NfFkJHQp7aw96Vo8STyZGcal7ZdY5z5Rc/y8K6NiI9bSmsazOKWOvDb8fv0ZHfDEzUarVLdD8vBIZqtdp/9/aYvo786pCQW8NtXyaj0miRAFqE7vflmQMMOpj8mlYe25pOUn4dwwIceXXWQCOTKRCKvf8TuwBBvrzprjgDupe+I++pW9efKF7ffZ52pVqcKW9eFk+gixX5Na0U1LSSX9N6xRFEvL8jYf1s8HMS7AYe/z6DTpWGo4+OwVQu42RRPTM/SQAwCMPoCd8siWVYoFAMThU3MOPjYwAGNMU/ErfF+xhZze5aMVL0KcmubL6sSvNSDA905N05UWw/WcbLu84ZjFV6Ql51Cys3n+Z0tzxNvV9OsKsVO/49wqjb1Wi0ZFc1k3BBUE4m5dWKo5oAZ0viAwQBTqyfw1WJgDQaLRPeO8SFKuH9nhntQUeXmt3druYsTGQGBm690ST7cHn8kR15CdC9hfME+hQkvwOGBTgxNaIf20+VoUUQTLwxO0Isviq1htVH83n3l2xM5FJenz2QWwZ79Tpj1PupxHjbkZxfx1fH8kUGh+oK4w2pVML8WB8mhLtx21fJnNOxOT46cIF1dwqKQz0jorVLxYakIjHA+cZId4YFOPKYzsCroV3JxuQi2pWG5k8hT+1heKAjxy4I4qdVCwYxwMOGwto2tp8qZXdGBc2XRKjdulpwSOxna0ZtN7l7Xk0r0yLdqWxsJ7lAoEHeHu/TI6Xxv0FP8WtTPjhy2ceYyKQ9jpNuGezJq7MikEkFNou/s+UV8yn9na3Yenc8nxzM5YN9Oag0WnFMM8TXAROZVOdX0srxvFoSdbJ3vTWAj6MFUwb2I163oHT5DQtGqVTCpqXxzPz4GMX17Ww7WWpwe/ciLpcK/vnrk4qIC3Ds68h/J/weHbkcYdk5DihFWHbeqtVqe00r6OvIrw5rEwp4/sdMun9C40JdeOeWKEoa2nh0azpnSpuY2N+VF6YPuOKW/9ezlSxZd4Kt/4rn04O5HM6pYdeKEQS6WJNf08oYXTxZTx15d9yxJlnkAoMQJ/bMtHDx+bvT+QDemB2Bh70581cnsWqBQAvUarVUNnUKnXxtq4FL46UwU0jxcbDE3ETWa5K7HlIJ3B7vyxqdIdfVYvIAN+4fH0ywqxUSiQSNRsuru89R3tDOL+eqMFNIaWzv3ehKDz8nS3G883tg5fhgHCwVOFiaCmpeS72SV2Hkf5JR0tijta1ewg/gbmuGg6UJI4KcWRjvI4pqfktKfKdKzYHzVWxJLeFgVjUqjVa0fOgJcpmELxYOYkyoa480yT5cGX9YR67ValUSieRe4GcE+uFXlyvifbg6vL77PJ8eysXVxpT1i2Opbu5kyboT7DtfReQLewFhlvrp/Bgj1kpv0M+dg12teWXWQCa+e5gHNp/m+38NI0d325XUcgm5NRzMqubxyaE0d6j46MAFfsoo51B2NQ9OCOa2eF8GdgtncLUx5fMjeQzxtcfCRCbak0okEtxszXCzNSM+wBEHSxPRaXHpKH9uH+YrjmpOFzdclfMfCAXraou4njYHQsyZfbewCalUIvqW6NN/1h7L57kdvZKxAHot4t2LKQgqUP0VxN3XBVDe2N6j94rejKwn2JorcNQV9k6VhozSnjn3Gp0T4Js3ReDtYMHxvFru/eYko4Kd8LAzv6aUeK1WS3pJI1vTSvjxdBkNbUpcrE1ZPNIPhVQi7glAWMC6WJtyIKuaEDcrnpgSxnXBwuf/Twhr+CfhdzEo0Gq1u4Bdv8ex/teh1mh5Y895PjucR393G9YvjsXe0oQgV2semhDCC90EIouG+zJpgNtljmaI7MpmPOzMsTZTYG2m4KUZA1n+TRqL1qbgrrOD1YcC99ShabVaXt99HndbM24f5ktRXRsfHbjAXSP9yKps4fkdZ9maVoK16cWF2LRId1YfyedCVQvTIt1JK6rvsfOL9r64kFs5PpjsymZSC+s5mFVl1IW72Zjx0MQQzpQ2siGp0Ci660oIdrUiu7KFxyaHiu6B9j0kBnVPitFqtQZF/Pkb++PtYMGitSlX9ZyXLjVrW7t4ZFIId48KEEdl78+NRqXWMPvTBAMh1AAPGyb1dyPSy47GdiV1rV1kVTSzK6OcvJrWq9oFJOfXcd2bB7E2lePrZImnvTl3rEkh3t+RjNLGK3bGlU0dbDtZytbUEnKqWjCRS5nY341ZMYLN7Tt7s8joloD03LRwXt19nsyyJoORUXf8lUlE/9/wv+E08w9Bc4eS+zadYv/5KhbG+fDMtHAUMinNHUpe33Oe9YlFeNqb88ikULaklvDmz1lcqGrh5ZkDrso0KKuimRC3i/S0qRH9+DnTnZ3pZXovP8wUMoMOTavVotZoUen8tE+XNPL0DeG0damxs1BgaSJj37kq1i4ayo70Mt78OcvgOdd3myGrVBqWfZ3KvWMCOZhVhUarRa0BtUbD3esvZlGGPbPH4Bj2FgrRgxpgYbwP5Q3t2FkouCGiHz9lVIjz+KtBdqUgYupuAfvKrnPcENEPXydLTOVSmtpVXB/uSlO7UqRPdoee/fPfoCenPrlMirmJjP7uNny2cBCbU4r59kSxgYLU0kQmskqszeTE+jnS2qnieF4t/x4byJKR/tS1dlFY28p9m07R2H7xvWvuVBl07oeyq3tNie9Qqtl7tpKtqSUcyalGoxWsF16ZOZCJ/V05lF3N67vPG1AnrUzl7Foxkvf2ZdOp0jDE157XZ0f0ccP/YPRJ9P8mKKxtZcl/TpBX08pzN/ZnYZxgTLT/fCVPbjtDZVMHi4b78eCEYCxM5Gg0Wj46cIF3f80myMWKT+YPMkpu7w6lWkP4M3tYPMKfxyZfDD5oaOtiwruHjSxYpRKBJfMXfD2uCRIdnaf7y1w2yl+Qdl8DW+S3IsTVGmdrU2zM5diYKTA3kfUY6tEbnpwSxm3DfERmSXuXmsjn9zJ7kAfjQl1JyK3l6IVq8eTTHfeNC2L5mEBaO1VMeO8wTlambF8+HKkEzpY3kZRXR1J+nUHotB5SiWBhfOcIPzbo/FkAThc3MNTPkS2pJexML6O5Q4W7rRmzYjyZFeOBk7UpG5OKWHOsgIqmDoJcrLg+3JUNSUWYyqWsXxLLWz9nsfdsJQ9eH8y9YwP7ivjviD6vlb8xEnJruEeXjq7n1ta2dPL8jrP8eLqMYFcrXp8dQbS3sU/GkZxq7tt0ik6lmtdmRxiELXRHTmUz1797mHfnRDIz2tPgtv3nK7lz7cXPI8bbjjh/IRJLJpUgk0jYkFRERVMHwwMdGRfqikwqQSqVcK68iW+SiojzdyClQFD8LRnhh5lCds1KyPFhQgecXFDHv8cGMtTPgdZOlditezmYMz3Sg5ZOFa2dKlq7VBTXtXG2vBlrUzkN7corPMPvgyAXK6K97fB1stTZG1ji62jJyeJ6nt2eSU5VC+NCXSisaxUpeZeDh5054f1siPK25bvUEgpqLipOZVKJYO3q76jbJZiyNbWEb08UU93caZC/Oi3SnaZ2JamF9bTo2D2+jhbE+jni72zJtpOGwiMJ8Nz0/gS5WHHXulSUKg0OliZUNHVgrpAxeYAbswd5Eu/vSEVTB2uO5bMxuZiWThXx/o4sHeVPoIsVcz47TodKw5o7hvDGz+c5dqGW56aFc8dwv9/3je9DXyH/u2J9YiHP/ZiJr5MlX94+GG8HC7afKuP5HZm0dKq4d0wQ/xod0Ku0GwQ15/INaaQVNXDHMF+emBJmdP+d6WXc+81JfloxwkgNWlzXxsg3hNSgmwZ5sP98tcHMtLlDyeg3DxLkasXGu+IMOiytVsuI1w+I1MYVYwNZdl0ATR1Kvk8rNRq1/J6wt1DQ1KGiv7sN3g4WtHepOZxTbTQzd7UxZcOSWLIqWlj+TVovRwNzhZT35kbzwo6z4u/THQ9eH0xRXdsVLQ1cbUy5c7gfr+4+DwhL6TdvjqCkvp1VBy9Q2tA7L16PqQPdOJxTw0e3RosLQj06lGpSC+t5+SdjUy8QBEnxOh54dyaTVqtl84linvrhTK97hVg/B2YP8mTKwH5YmcqFIOTDeexML0eLwFC6a6Q/Az1tqWjs4JbPjtPQ1sWqhYN4Y08WGaWNvDE7gtmDPHs8fh/+O/SFL//NoFRreGHHWb5OLGRMiDMfzIumqUPForUpHMyqJtrbjtdnRxhIrnvD9lNlrLw+mINZ1Xx5NJ9TxQ3cOcKPsoZ2camYVdGMTCrpMTl8R/pFtkRKQT0vzejPPevTeHxKKH5OVjz3Yya1rV1cZ2vOh/svCF1zfh1mCikKudSg6H2w/wIf7L9yJ+5ibWowzhkR6ERrl4r2LnWvcvVLUd+mxEwhpa1LTUObEhO5tMcCdWOkO4Eu1gS6WONiE8/tXyXTz9YMH0fBN0aPdqVGZM4APD45FHMTGc9sz+TL2wczLszV4Lj1rV08+2OmgTVveD8bzlc0iUUcBCvdR7ek09iuNPA77w39bM04nlfHZwsHkV7SiEajRS6TkpxfR1JeHWlF9UY+9d4OFpTUC0rRQ1nVuNmYM/SS8Ah9nJuHnQULvkwyet7Vtw1mfLgrWq2Wwzk1fHE4j6MXarAwkXFbvC+LhvuKauCalk7mr06ktqWTd+dE8fyPZ8mvaeWT+TEGmZt9+HPQ15H/BWho6+KeDWkk5NaydJQ/D08MYWOyoJrUaOHhiSHcPsz3qtO+uy8n61uVYtc5d4gXM6I9aGpXivajK8cH09ShpKldqfu/SkwfulqYK2SYKaQ0tSvxcrQwGAV0R/eghj33j2T2Jwniks7H0YLC2rYevUTau9SMeH2/SM8bH+bC6tuH0N6lpqKpg4rGDiqbOijX/b+isYPM8kaK64y7aD087MxxtTHFzdaM4rr2Xql63X/HqRH92JJaQqyfA5uWGl6JJFyo4ZkfM7lQ1cL4MBeeuaE/3o4WpBXV8+9vTvbY0V8L+rvbMCzAkQNZVeJ4RiaV4OtgQWlDO/eODSQpv47EvFp2/HsEoW42KNUafj1byTfJRRzJqUEmlTA21IVbY72FY52vZkNSIUdyapBIet5/hLpZo9Fqya5swcXalEXD/bh1qDe2FheZSA1tXcz9PJGC2lZenjGQD/bnUN3cyRe3DWZ4YB8L5Y9E32jlb4ILVc0s+c8Jyho6eGXWQKK87Hj8+3RSCuoZGeTEKzMH9uqBcjkk5NZwx1fJdF0FFU/v92FjpsDGXE6KTvnYXW4e5+/AmdImLE1lVDZ18uikED47nMeH86IZGeQMwC9nK7lrneHn+OSUMK4LcSbIRRDW6Ofva+4Ygq+TpSg60uORSSEsGxVgdNK6eVWC+Lp6CoPojqqmDm5dnURJfRufLxxMiJs1U94/YqD0BIj0tL0mf/PumNTfjbtHB+BqY8rLP51jZ3o5Xg7mPDetP+PCXFGpNdz2VTIJuZc/KQ4LEOwJLE3lWJnKOFfexLaTVxZCSyUwWhe43P2E/fDEEJaPCTS6f2FtK5tSio3scGVSCfeNCyLA2ZKnt2fyyMQQPtx/wejEs2JsIMvHBhrJ+5s7lCxYncS58mYemxzKZ4dz6VBqWLtoSI87nD78vugbrfwNcCCrihXfnMRUIeXrxUM5UVjPlPePYG4iExPQf+uGf1iAE6FuNqSXNuLnZMnt8T68+XMWrV1qTORSulQa7hjm22Mi+qxPjmEil/LC9AE8MSWMKR8cobC2jVdmDWTFxpNYmsj4+EAuqxYMMjBx8ukhpdzLwUIs4gDDA52wNpWzK6OcN2+OZPIAN3afETw4TGRS3tiTxc+Zlbw8YwADdEKiutYusYgDly3iFY0d3PpFIhVNHaxdNJQ4f0fUGi1dKo1RdJu+iHs7WOBibYpao+XkFZSieuzJrDBygiyua2fxfy7fkCwb5c+oYGf6u9tgZyFw1aubO0nOr2P7qVL2nasyuL8E4X29NOJNo4X956u4Z3QAwa7WTHj3MBGetiwbZRiSAYL3SX5NKxd68IpXa7ScKW2kpL6NZ28IJ6O0UUyp747VR/PpZ2fO3CEXLR/aulQsXnuCzLIm7hkTyIf7c5DLpHy7LI5QN5vLvg99+GPRV8j/BGi1WlYfyefV3ecIdbNhxbggnttxlnPlTUwd2I/nbuxv4GT4W5CQW0NxfRuOliYU1LTibG3KmecnsvlEsRjWq5BJjIq4Vqslp6qFGVGCsMNMIeOdW6KY/WkCB7OqGBbgKHaZj25NZ36cN3MGe2FtpmDZ16lIEJKGNqUUo9JouXt9KsGuViwZ6c/0KHdM5TLGhbnwy7lKlGqNOKM3kUvJenESP54u48WdZ7nxo6PcMcyPByYE8/j36QavMaeymaAedgWlDe3c+kUitS1drLtzqBgofK68yciTRY+J/V35ZP4g1h0v4LVuc2z9qMHVxpSqpk4kOiXmE1NCeXtv9lXNtntCbnUrudWtFNW1UljbZnAchUxCuLs1E/u7kVpYz4GsauIDHHGxNiXQxYpfLynyAGuOFXAgq4qWDhVv3Rxp8HlWN3fyXaoQolFS346TlQn3jA5g3lBvvBwsKKhpZWNKEZ8dygMQg0SGBTjyxJQw2pVqHtx8mqK6Ntq61Dz+fQZ7Myt4fXYENuYKlq5L5URhHfNjffjqaD52Fgo2LInt0aCtD38u+kYrfzA6VWqe3HaGLakljAlxxsvBgvWJhThZmfLijAG/y2Ko+4zcxdqMqR8cQa3RsmbREEYGOfPcj5ms1cnWn5oaxuIRfmKXVdnUQewr+3hhen9ui/cVj/n23iw+3H8BK1M5tw/z4T8JhXg7WHC2vMnA9Gnl+CDuGx/MkZxqFn6ZDFx033O2NuX2eB+crU15dGsG786J5KWd56ht7cLJypTjj49FIZPS2Kbkzb3n2ZBUZDC3fWnGAF7+6RyTB7gZzdGL69qY90UijW1K/rN4KDHe9qLMvXuBBli1IIaRQc48sjWdn7rZ744Jceb12RHkVrdy59qUXj1CrhZ3DvdDi5avjxdeVWi2mUKqm92bUVLfbhR0MSvGgyE+Dry5N4u7r/MnIbfWwONm/4PX4edkSWJeHRuSCvk5swKlWku8vyPz47yZEO4mspe0Wi2Hsqv54kieaEqmh1wqYXyYK7fGehPtbccru86xMfmiM7WVqVykM04d2I9fz1UK3+PFsVc09erD74u+0cpfgOrmTu5en0pqYT2xfg7kVrdyIKuaeUO9eGxymJG3829Fdyk5wKuzBvLA5tOsOpTLyCBnFDKhaI8LdeGln86RWljPGzdFYG2mIEcnNAm8hM0yxNdB4IpLhAI1PNCJe785yVs3RfCf44XisvDnzEpcbMyYHuXOqGAnEvPq2H7vcJLz6/jiSD5v7c1GPy1a+e1pTOVSnpgSyiu7zrMzvYyZ0Z7YWgh2AcMCnEQ+PcCoIGcKYltZk1DA/eOD8daNcgprW5n3eSItnSo+u20QedWtvL03i4TcWoMTgYOlAjcbc9Gk67ogZ7GQO1qa8PiUMI7l1pBR0nTFIt7P1oxlo/wZHeKClZmcBzaf5nB2NU5WpgQ4W5Kkc5O8FBPCXYnV5VXaW5hQ3dwpLGibOjieW8uh7GqjVHk9vk8r5YeTpdhbKNh9pgL5JXuEsW9fTGOyNVdwW7wv84Z6E+hixapDuZworGOwjwM/ni7ji8N5ZFU2Y2Uq47HJocwb6o2tuYK86hY2pRQLSfWZFXg7WDB3qBdvzI7gjZ+zqGnpFIs4wE8Z5UR42rJ2keB42Ye/B/o68j8ImWWN3PWfE5Q1dmBrrqCxXYmPowWvzhr4p/hLPPTdabamlbB+cSyrDuVS39bFjntH8MWRPF7fk4W3gwWfzI8hKa+W53acFYN09Vh1KBd7CwVP/XCG8WGufDI/huN5tZwoqGdLagmtnSqWXecvpttYm8lxsDShsLaNtYuGiOZYWRXNrD6SZ2B6teXueJ7YloFUImH3fSNFt8H5q5MMGDSmcilzh3ixLrGQeUO9eWXmQPKqW5jzeSLVzZ0EuVhRXN9Gh1KDt4MFM6M9mBHtwexPExgT4sKv5yrpUKp5f24U206W8nOmscLxSrAylfP5wkGi53liXi0rNp6koV3Jc9P6M2+oMEOe+sERo/BqfVGcHuUhmpHVt3YJIcNppZwqbkAiEaiXM6M9GB/uSmphPYvWpGAil/LU1DCBmdMoFP4rLVJBSLj3sDOnoa2LvWcrRY8XL3tz6lq7+HTBIEYFOxs9rlOlZs+ZCjYmF5GYV4dcKmGQjz1J+XVG9/1kfgxTrtKorQ+/L/pYK38i9pwpZ+W3p8UuTyqBu0b6c//44F4zDX9vtHWpmP7RMerblNS1djIj2oN3bhHGE8n5ddz7TZrowWGmkHHqmet7XLR+cvACb+zJ4v25UUyP8uDRLelsTi1m87J4hvg6oNVqSS2sZ93xQgM+9aoFgxgf5oJcJiWvusWge+yOr+4YzNhQV748mi8mxg8LcOTtWyJ5YcdZcTEKiJ28HrbmgtfKrBgPYrztkUgkXKhqZvw7h3n+xv48+2MmcwZ7sSWt5LJpQeYKGf7OlkaFGODlGQN4+5dsPpgbTWphPe/vy8bX0ZKP58eIEXr6ABBHKxOUai3WpnIK69oY7GPPicJ6o2OCMH6aGe3B9CgPo/HER/tzeGtvNh/Oi2ZapDstnSruXJNCcsHFohrr58C4MBfMFcIi+nLhGyCIpz6+ykSe3OoWvkkq4sujvQd3L4zz4fEpoViYyH+TBW4ffhv6CvmfAK1Wy4f7L/DOLxcNjkLdrHnjpggiPK8+M/H3Qvd0mkcnhfKv0Rf/oVU1d3DfxlNiB9wbxU+t0XLTqgRyq1p4eFIoT/9whn+NDuDRSaFG961u7mTIy7+KP7vZmHHLEC+2nCimprWLLpWGm3QBu58dyqVMJy2fH+vNBl3KPcAPyy9mTH6TVMQT2wy9yv2dLXlkYihjQp2N6HH6+3+2cBDLvk5lRpQ7B7OrDbIzLUxkDPKxN8i8NFNI0ersXuP9HXlDp0g1kUt5blo4nx3Oo7C2jZnRHrw0YwCWpsJUUr+f6FKpmRbpzg0D3VnwZRJjQ124Z0wA7++7wOHsaoPX6ONoweOTw3p8/YCBA+L14a78cvbilcSLMwYwM9oDK1PDqWh6SQNzPkvsdUR0LYk8Wq2Wl346d9lCDoL8/47hfnywL6fPV/xPQl8h/4PR3qXmoS2nxRmsiUzKinGCXF0h611e/0fjwc3CiGWwjz1b/jXM4DaVWkPgk7sBQZH46YKYHhkI3UMnwvvZ8MPy4b1aBvyUXs7yb9JYPMKP7MpmsVjKpBJszOQoZFISHx+HFrjls+OkXtKxxnjbsW5xLLszytl2spTjebVGwpXXZglJSJc6B7Z1qRjx+gEx/aY7PO3NqW3p4tHJIcyP9UEhkxosaAEOPTxa/P2PXahh/uqL6keJBF6fFcHNgz0NrlxWHcrF296ce745yXPTwvFxtDSwtjVTCHavM6M9sDVXsON0OT+eLqOmpRMbMzlTI/oxI8pDdEJs71KzM72MF3aepbnDkHmz/8Hr8O+2y9BqtRzMruaLw3kk5NZiaSJj3lBvYnzsDXYNwa5WVDR2sGrhoKsqtvpFtx7zY725fZgvG5OLejQEC+9nzWOTwwxGNn1d+h+DvmXnH4jyxnaWrksVF4CDfex5bXbEZd0I/yxEetmyNa2EE4X1JObVEufvKN6mH60MD3TkTKkQ3vvWzZFGTBrfbnzxWH+Hy/q+jA5xxlQuRa3RsvL6YLGQW5rIRCvaBzaf4qWZA1m7aAgDn9tr8Pi0ogYGPPszIHSu40Jdjdz7Hvs+g+9SS3jmhnBau1Ri2vup4gYjtoiVqZyPbo1mdIiL2D07Wpqy+0w5uzIq8HG0wN7ChFPFDby1N5t3bolEIZMS5+9IjLcdaUUCz7yfjZlREQchFEI/UuruV+5kZcpjk0OZNMDNoHuO9rbniSmhHMut5YeTpWw/VWbAENEjwNkSGzOFKNR5amqYWMQ7VWp+PFXGF0fyyK5swc3GjMcnhzJ3qDfWpnIxbclELmVcqAtHcmpo6VRx25fJrBwfxL9GBxqdBPX4+MAFgyJ+z+gAHp4YQpeOOto9EEOPs+XNLFqbwiszBzBniPc1BVX04fdBX0d+jVh1KJcIT1uxszlZVM8da1JobFdiaSLj0cmhLIj16fUfyp+Np37IYGNyMd4OFrR1qdi1YqQYqJuUV8uczxNZu2gIAc5WLP8mjfSSRtE2QH8l0X28YWEiY899o0QGSU9Yuu4Ex/NqsbcwQaPVsvu+kcilUr5JLhLn4JYmMnydep5L62FtJqe5Q4WHnTmblsbx/I6z/HquEgdLE6OuO8DZknB3W3acLuOxyaGcLKrn17NVfL14qLio7FJpeHr7GbamliCXSVg+OpC7RrshRhoAACAASURBVPljppDx6cFcXt9znkn93XhyahgPfXeapPw6A3fBpaP8eWJKmHisg1lVfJ9WKgqFnKxMRSOt3FemXNFioUul4YeTpTyyNd3otienhDHEz0EMkz7yyBhszBRsSC7k80N5NLQrCXWz5q6R/kyLdMdELkWj0fLo1nS+Sy1heIAjy8cEMizQiaYOJZuSi1h1KJe6ViUBzpYsHuHPrBgPg3HaV0fzDYJLHp0Uyp0jfPnuRAmfHLhAWWMHg3zsmRDuymeH85g8wI0tqSXIJNCmFOioY0KcOV1y5aCKPvw29I1Wfid07zYqmzp4+Lt0VBotkV62fDJ/0BWj0v5s3LxKSKN//sYBzPjkGPH+jqy5YwhSqYQNSYU8ue0Mxx4bi4edOZ0qNS/tPMfXiYUM9XXgw1ujaetSM+X9Iwzysee12QOZ/N4Rwtxt2HRXXK8nq+/TSnhg82kANi+LZ6jfRfOmxWtT2HfeWOgCQvG6fZgvh7KqeH3PeS70QssDwTtF361aKKRIpVIWxvnw6aFcXp89kKd+OEM/W3MOPzIGgMPZ1Tz3YyZ5Na1MCHfl6RvCjawQuhcymVTCmzdFMCvGk8PZ1dz2lTCCuTXWG5lEws70MurblDhZmVDTIpxU8l+dwsxPEjCVS/l2WXyvr72oto2NKUVsTimmtrULLwdzbh3qw5hQZ47rOvWerAT0eZhyqYSHJoawbJS/eIWg1hXxLakl3DcuiJXXBxs9XqnWsCujnC+O5HGmtAlHSxMWxPmwMN6HX85WGuSmPjctHJlMyicHLlCuK+D3jw9CJpFw78aLWZsJuTUs35DG3CHe/HCqlPLGjmuax/fh2tA3WvmdoM8aXLz2BO1KNRJg+egAHpoY8rcz0NdqtWRVNDMt0p1wdxueuSGcp344w2eH8/jX6AByKluwNJHhrmNNmMplvDhjAIN97XlsawYT3ztMQ5sSW3MFb90ciZutGc9MC+fhLel8dSyfJSON5eGAgexcX8T3natka1pJr0Uc4NXd59h9ppzTJY2XZZkA/PrAdZibyDhRUMeT286QVdnMp4cEX5HXdp/HxdqUsH7WlDa089JOgf3i62jBmkVDGBPiYnQ8lVpDdTdbWjcbMyYPECh2fk6WRHjakl7SyDe6pey0SHdmRXswIsiJGR8fw9HKFKVay9myJhYN9+3x+PvPV7EhqYjDOdVIEPzX58f5MDLQSTwphrrZsGi4H6/tPs+qQ4Y+KR1KNTZmcqNZt1qj5eEtp/k+rZT7xwdx/3jjIg6gkEmZHuXBjZHuJObVsfpIHu/vy+H9fTkG9xvq58Bnh/PEAv7mTZEMD3REIpGw6lCuQbc9LMCJj+fHsON0GZ0qDSvGBrI+qYi4AMe+jvxPRF8h/w0YFuCEnYWC9kY1i0f48XAPDI6/AyqbOmnqUInxbvNjvTmeW8tbe7MY6mfPhaoWArv5ougxPcqD8H42YsKOu505LjoLgZsGefJzZgVv/JzF6BBnAl0MpfNVzR0czhFYGnbmCg6cr+LzI3kc13Ggu8e2LR3lT3Fdm0gx1GgRZ9IgjF9emx1BnL8jZ8ubWH0kT5y5hz2zh8MPj2GwrwM7V4zgq6P5onVsQ5uS+jYlpQ0d/JxZiVQCD00IZslI/x6ZOeWN7azYeJKUgnrmDfUivJ8NT2/PJOyZPfR3t+lx/LNyfBD+zlao1BpyqloYHujE+YomutQaIr0uMpQqGjvYlFLEpuRiKpo6cLMx475xQcwZ4kU/W+OrN41Gy6aUYrGIW5jICO9nQ1OHkuzKFu4Y5mtcxL87zfcnS1k5Ppj7xgcZHfNSSCQS4gOEoIqPD1ww8oxPzq8zKuB69La8/DmzUizwcQGO4lVrXzEXcOlIFn7fhfBfR6f4ByMht0bsPr4/WUpCbs2VH/QX4HyFUID0nuYSiYRXZw/E2lTO0nUnOFfeRIBuIZuQW2PQAertZkHwLlmy7gQNbV1IJBJemTUQSxMZD2w+jUp90TtEq9Xy6JZ0ulQargt2oqFdyaK1KRzPrcXX0YKNd8Wx78HR4v3Hh7my+0wF948PIs7P0Dtb/xre/TWbnellRHnZ8fXiWHatGCnePurNA9yzQVgye9kLRdHLwRwuuTDSaBGVl6eKGwy6/f3nK5ny/hHOljXx9s2RjA9zJTHvIl87s6yJu68L4OijYyh4bSoP6EYWY98+RHVzJwW1rXSpNIS4WovjkIEethzKrmbpuhMMf30/7+/LIcTNms8XDuLoo2O4f3ywURHvVKnZnFLMhPcOi/uIBXHeJD4xjgcmBFPT0iV2u/rvm1qj5SFdEX/w+qsr4t1x4HxVr8EfnSo1ta2dV2U1cKmyWH/Vmv4bnSb/PyLC05Z7vzkpfnb6EW2Ep+0VHnl16JuRXyO6z8j1M8K/a/fx+eFc/q+98w5o8lzb+O9lb2Q42GG4EcXFcI+jtq5qtbZuW+3Stnae9us+Pd0953ha21pbFevWDu3p0Kp1s5eKAsoIU/aeCcn7/RESQUBBUUTe3z9KEuBJSK48uZ/7vq4Pfk8g5s2/NUqJ3x4q5439mvDgv0/rx2AX60b3oUpRx/TPT1OrVPHH2rH8EpvFP369SE8rE75aNBQf5266NsMX/taHZyf1rv+5abyxP453Zg5gysBeBH70V6P1aF0YG2JrbsRn8314dlcsVYo6BAS+XKTpMvnt3BW2haYRm1GCqaE+D/g6scTfjYKKWpZuDsfGzBCVWqSsQZteTytjcss0JZKxfexZ4i/jTFIBIcmFJOZqAissTQwY5mZDcFKhzjNmXJ/uxGWVUlipwNbciFmDHTEx1Oe7UykMdLTi+0f9dJ7cL+yJ5aeYLADen+PN6z/H8duzo/nsUCLHEvNxsTUlo6gaO3MjHhrhwiMjXFs8HC6tUrI9LI2gYHkjF8I3ZwzgsdHuLT7f/vvwEH6IyuRAbDYvTenDmoltFPHEPFZsudomaWygx6ZlIxgus+Gn6Cy+O51CSn4lDtYmrBgl4+GRrliZtI+lxL1MnUpNcZWSgopaCisUFFbWUlChoKCilvjsUoJTilge4MYP0Vk3pRnSYWc7cbs/IrUnL+49y6nL+YS/PrnJdW8diOP7kDRmD3HkVH2kmPY+vbH/PDvC0tmx0k93WWxGCat3RJNfXstbMwewyM+V53bH8vv5K+xfPQpTI32mf36KETJbtq4YSWhqIUs3hWNlaoBahBWB7mwLlesOBhuidR60MjHgs/mDefWn843Wcz6zlO2haRw4m0WNUq1rC3SwNuHg2rGs3R3DscT8Jj+3YZcJaAaWQlIK2ReZ0WgYqNHjMmMASwLcdB07Ry7m8vSOaLx6WLB9pZ/OX+TakfypA3vqLAD83G1Z5O/G1IE9mx34AY3p1+YzqeyJyKBKoWJMb3tm+Djw3q/xDHKyZsdKP/T0hGafb6cu5/PB7/HEXylv0Y+8JWrrVLzywzkOxF6dwn1n5gCWBcoalVDUapFjiXl8eyqF0JQiLIwNWDDChRWjZDjbtN0vv7MiiiJVChWFFQryK2oprKilsFJBYcVVgS7U/lupoLhKcd3AcisTA8pq6m76QFgS8i7IzC9O083MkG2P+TW5ThRFXvv5PLvDMxo9qY4l5LEiKIJVY9x5ffqARt9TXKng+b2xHE/M54EhjrwyrR8PfHkGCxMDjPT1yCmr4dDasSTnV7BmZwwzfRzYGpLGZ/N9+Oev8dTWqfB2smbLipG6XvFr6WFpjLu9GRbGhqyd3If+DpY6q9bSKiX7ojLYHprWyK+74U6/u6Wxbmf7xFgPHhvjrvOQKa9R8sLes40mJbWYGOpRU99C59TNlEBPOwK9NAd28VfKeGJbFG52ZuxY6U93S2OKKxX4vne46WM+2JEvHmm5f/pcZgkbT6bw+/kr6AkCswY7snKMB/0dLFmyKZyY9GIOrh3bYrhInUrN83vP8r+z2U2mda+HtnTz5oELjS4/9cqEGwaZxGWV8u0pTW4nwH3evVg1xqPRWUBnQqUWKarU7Ja1IlxQoRXn+ssqr36tfV5ci6WJAfYWxtiZG2n+tTDCzsIYewsjCis0njpaQzRteHbQGTmL/V3ZHpYu7cglboxKLTLgrYMs8XfjjRkDmlyv/Yi+2O/qk6pfLyum/Ock9hZG7F89qtmDQbVa5KvjGhsCz+4WLBjhwj9/iwfg60VDuW+QAxtOJJNWWKlzTHxpSh9+P59DYm4Zq0ZrBOCpBpOHQ1y68fr0/iTklBMpLyJSXny1tdBIH1/Xbgxzs2WEzAZfVxvMDPXZHZHRZHR/hMyGPY8HMOFfx0krrEIQNOVyOwtjrEwMGrkMzhvmzHOTeutETBRFkvMrCU4uIDipkJCUQt3AlGd383ofF41T5Jje9oSnFjXrUd7QMKzhY3b8Uh7fnEghLLUIS2MDFvq5snyUTFcr17aC/vMBbxb7uzX7N61TqXluTyy/nbvCq/f1a9UnQK2Af3U8WdcPDxqfmsMvjG1klHYjskuqCQqWsyssnfLaOkbKbFk5xp3J/Xt2+NxElaKOgnIFBQ3EWbtrLqxUUFBeqxPuohZ2zQZ6gkaMzTWibF8vynZasbY0xr7+OltzoyavD5Va5Gh8LkHBcoKTCzE20GPuUCeWBcooqlS0S0lWEvIuhnas/pN5Pjw03KXRdS3VXT26m3Muo5QDa0bpDKFa4kxSAc/uimk05ffjUwEMc7Nt9DtszAzJLK6mtk6NuZE+G5YM4+1fLpDSQFTj3p3axDsku6SayLRiouRFRMiLScgpoxXnbrosUNDY9jbX7nij6DjQvCjjr5QRnFzA4Yu5jRKLtKye4MmXxxq3CDYc8z9xKY/d4RlczqsgKa8CB2sTHh3lzoKRLo3qzRlFVUxbdxJfVxu2PTay2TZWpUrN2t2x/Hb+Cv93fz8eH3t9Eb9WwBtOZNpbGHH0hfGNcjjbQnmNkj0RGWw5IyerpBp3e3MeHe1OSaWCYTKbdik7qtQixVXXlC4a/FtYWUt+/S66sELRoseMpbEB9pYaIb66Y64XaPOrQm1vYYSVieFNvSGVVivZF5nB1hA5GUXVOFqbsCRAxsMjXHRnU+1VkpWEvItxMC6HJ7dHcWD1qCYfgZt7Un34ezzfnExplUhoSc6vYFIDV0NHaxOOvDgOM6OrhlLafntDfYGtK0aSWVzdaJLRxdaUU69MvOHvKq9Rsu7I5esaOfWyMrmhCyBAfwcrVo1xZ4aP43XtBi5ml7EzPI39MdmNPLmvh8zejG2P+rH+ryT2RmYg1v++J8Z6MN3HoYnvjlotsnhTGOcySzm4dkyz9WelSs2zu2L4Iy6HN6b3b7F/H64KuNYRcYTMhgeHOvNq/bCPo7UJh18YpzP9uhXqVGr+iMvhu1MpnM0sxcJYnzq1yH8eGsJ9gxyabBiqFHVNShmFlQryy6/WnbXXt7Rr1tcT6kVZI772DXbLDUsc9hbGze6a25OkvHKCguX8GJVFtVLFSJktK0bJ+NuAnk2SuNoLSci7GP89cpl1Ry9x4d2pOmFtiYyiKu777ykGOlqxc5X/DUfLtfz9h3PsicxgsEs3ztZnX07q14NNy0fobvPPXy/y3elUVo5256Wpfen35kFA48Ed6GXHJwcTOfLCuOv60mQWV/Herxc5dCEXD3tz3pk1kABPOy5ml/HU9iidi+L1WDu5NytGuXMoLodvT6VwOU/jUbJ8lEwXsgCaoZvfzl1hR1ga0eklGBvoMcPHkUX+rvi6dEMQBOKySpm3IVhXO23OfwQ0LWevTO3XpBe7IdtC5Lx54AIfzR3EwyNdm1yvVKl5ZmcMBy9cX8SbE/C1k/vg0d2cgA813UNudmb8+fzYFg9gbxZRFAlPLeK706m68wfP7uakF1XhamuGQqWmoPz6u+aG9WU7C2PsdeKsFWaNON/srrm90JbJtpyRc+pyAUYGeswe7MiyQJkuc/Z2Igl5F2P1jmjisks58fKE695OpRZZ8E0IiTnl/NHCjrA5Dl3I4YltUTw93pNXpvXjYNwVntyuqXtrD0qvrcMb6gvkltViYqhH7FtTKK5SEPDhXy22z9XWqfj2ZArrjyUhILBmohcrx7hjoKfH6aQCfo7OZH+D7os5vk7UKFWNPMyvxd3enH8/NJiSaiXf1ceemRvpM1xmi4mhHqEpRZRWK/Hobs4iPzceHOqkC01uSEJOGdPWnQLglWl9+eRg437sR0a68OFcn+s+humFVUxdd5IR7rZsXTGiidgr6tQ8syuaQxdyeWvGAB4d7d7kZ9QoVeyNzOCrawQ80NOO/IpaRr5/FNA4IP7+7JjbtlPUkpJfwXO7YzifVYa9hRH9Hax0u2a7+t1y9wYHg3a3edfcXpTXKNkXmcn3IXLkhVX0tDJmib8bj4x01XkX3QmkEf0uRmJuuW4Q6Hp8czKZyLRi/rNgcKtFPK+8htd+Oo+3k5VuHHyatwMH145h2rpTfHsqlfSiKiJSi1m/SPOxOru0hh/qU4LOvj0FYwN9HKxN8XXtxh9xOU2E/FhiHu/+cgF5YRX3effijRkDKK1S8tmhRA7EZpNXrrGBbVgT147Ra3lirAcFFbXYWxjzzUlN4HBqQSVzvtL4z3QzM9R5pZxo4Bn+6n39GvmYNEefBhOtWhH37G6OvKAKtSjy67krzBzs2OJBlrp+rN5AT+CjuYOaFfHVO6M5fDGXt2cOYMWoxiLenID/+6HBBHhqdv8FDUR8kJM1B1aPuiM72ZyyGrJKanTDS0+N97zr5ivaQkp+Bd+HpLEvMoNKhYphbja8OKUv07x7dag99bVIQn4PUlunIrWgkmk3CHaOyyrlP4cvMX2QxhO7NYiiyCs/nKOyto51C4Y0qjH362XFnsf9WbAxlEMXchnoaEWfnpZsPJmsE/ElAW6NPtrf7+3A+7/Hk1ZYiZudORlFmjLKnxc1ZZTP5g+mqLKWx4IiSMgpx1BfYELfHswd6sSEfj348q8kPq+3XX23gY2sNtlHW5997f7+1ChVHL6YyzO7YgAahU005KM/Ejh0IYenxnk26cioUarYH5PFt6dSmnxfXnkt3ywdxoe/x5NTVsNT26P5enHzqTzfh8gJSy3ik3k+OF5jtKaoU/P0jmiOxOfy7qyBLAuUNfr91xNwgMKKWob/UxPwMUJmw94nAu6ID9C1NfHOOqqvVoucvJxPULCc44n5GOoLzPRxZPkoWYcExLQGScjvQZLzKlGpRZ3HSnPUKFWs3ROLrbkR78/xbvULfXtYOscT83l31sAmPisAfh52PDPRiy/+SuJCdplOUEAzNPPebG/d1xtOJONgpWl/OxCbjQB8fvQySrVI356WdDMz5JUfzqIWwde1G+/NHsgMH8dGU6phqUWNUt5BE63XUMRBczB36nIBP0Zn6gaQrkdMegmPb4sCNAHKL0/ty6ELOQQFp9Xv8jVreHPGAHaEpZGSX0mdSo2NmRGblo1g9pdnsDDWJyK1qImIyQsq+ehgAhP6dmf+MOdG19XWqVi9I5oj8Xn8Y/ZAlgbIgNYJOEBBAxEf7WXP9pVNZwhuF9cb1e8MQl5RW8dP0ZkEBctJya+ku6Uxz0/uwyN+Lm1q0+wIJCG/B7lUP4p+PSH/+GACSXkVbHtsZLM14OZIzq/g/d8uMrZPd5YGNN/rDPDMxN4cjc/j4pXGZlOvXGMupvWfABrF44GmNORsY8qaCV484OvUKBlHS22dShcObKgvoFRp1FktwmI/VwI97ckprWFPRAa7I9K5UlpDD0tjnpnYm4dHuOh2wpdzy9kemsaP0Vm6NwQjfT3d+P6fF3P5s8EQ0YLhLgxx7cZrP51ngIMVRZUKxvXpTnpRFUs2hbF5+Qi+XjSUJZvDdU6O2gNkbUnFUF+PD+f6NBLh2joVT22P5q+EPN57wJsl/m5NBHykzLZZAQfIK6th5AeacsrEfj3Y3ODQ+U7QXBtdoKf9XS/iaYWVbA3WlE/Ka+sY7GzNugVDuH+Qw3W7mu4mJCG/B0nM1ZQgZM3EtoFmxHvLGTnLA2WM6d00Ub05lCo1z++JxdRQn0/n+Vx3B2+oL+DYzbSJkH96MJFP5vvoeqhdbMxwtzdvFBJhaqjHA75OzPF1ZribTYt13WqFiumfn7p6n16ZyEd/xLM/NptFfq5sCZYTnFJITLrGJGtMb3venjmQSf17NKlt9u5pybuzvXl5Wj/2x2SxLSRN58vSHHsiM9gTqUn1+b+fz1NSpURmZ8bHD/qweFMYy7eE893SEbwzayBv7o/jk4MJvFZvFbAlWE6EvJh/1dsCa6lRqnhqexTHEvP55wPezBvmzNZgOV8dTyK3rPa6Ag6avnutt82UAT3ZuLTJeZhEA0RR5ExSIUHBqRxNyENfEJju48DyQBm+rjYdvbw2Iwn5PUhiTjke9hbN7iZKqhS8tO8sXj0sePW+1tvvfn70MucyS9mweCg9rVr+mCmKIh/9kdAknu2x0e4EBcuZ9cVp1j3sy8lL+Xx5LAk9QcDXpRsxGSXc592L/ywYcsMuhsu55azeGU1KgWaoKOL1yVzOK9f5rWiDnKPkxUz3ceDlqX2bzSK9FjNDfXpZmehaERsyprc9o7zsSc6rYF99vR80h6cAW0PS+Ck6Czd7M2qUahZvCuOrRUNZ4u/GNydT6N3TkqGu3fjkYAKT+mlq/FpqlCqe3B7F8cR83p45AJVaZNynx3QC/p8FQwjwaLmFMb2wirGfHgM04/NfLx52w/vaValS1PFTdBZbg+VczqvAztyIZyZ4scjf7brP67udWxJyQRDmA+8A/YGRoihKPYV3AYk55Qxza7qrEEWR1/fHUVihYNOyEa1u+4pKK+LLY0nMG+bMtPqwheYQRZH3fo1n85lUFvu78shIV6Z/fhqAVWM8mObdi/kbQnTxZdMHOTDNuxdv/3JB1+UQnV583Y/i+yIzeOvABcyN9dETwKuHBakFlfzz14tUNqiTvzSlD4OcrYm/Un5DEa9Rqvi5/gAzJb8Sp26mvDG9Pw+PdKVKUcee8Ax2hqdz6nIBDtYmLA+UERQsb/QzxvS2x8HahNiMq37qDQOQX9qnSUyyNjXkgwZdKjVKFU9si+LEpXz69bJkw4nkVgs4aN7UtL7x030c+HLh0Ove165KRlEV20LT2B2eTllNHd5OVvxr/mCm+zh0ivbHG3GrO/I4YC7wTTusRaIdKK9RklVSzUK/psMlB2Kz+e3cFV6e2rfVwwsVtXU8v+csjt1MeXtmU88WLWq1yNu/XGBbaBorRsl4a8YA3WEhwKLvQnG3byyolbV1vHUgji8XDb1hl0NlbR1vHojjp+gsAjzseGfWQKauO8ml3Aoe+iYESxMDFvu7Mbl/Tx4NiiC7tIY1E3szrk/TNCAtxZUKtoWm8X2IxpVxoKMV/31YUxvVll8sjA14ZlJvnhrvydGEPLaHpjURcUAn8itGybjP24GotGLW7oltcrvSak0L5XCZDd5O1rz7v4uE19f5E3LKWy3goHGFnLle80Y5fZAk4tciiiKhKUVsOZPKkfhcBEFgmncvVgTKGOZmc9clet0KtyTkoijGA/fUA9LZuZSrMXa6toc8q6SaNw/EMdzNpk3eDv/43wUyi6vY80QAli34UavVIq/XhzzP8HHgrRkDiE4v4fDFXOb4OnLoQi7J+ZUk51fy6n39WB4o06W1u9qa4VhvHNVSl0NCThmrd2hKKRP6dsfW3Jip607qrv9kng8zfRwxNdLsrOYNd+aHSE12ZXMfl9MKK9l0OpW9kRnUKNWM79udx8d4tFh/BjDQ12PqwF5MHdhLNwzVkEn9epBfUcsHvyfw+dEkHh7hwp/Pj+WNn+MIlxc1uu3/zmU3Ks9oeXlqX1aN8WjVAVt4ahEPfRMC1Iv4IknEtVQrVByIzSIoWE5CTjk2ZoY8Nd6Txf5uzaYy3QvcsRq5IAiPA48DuLo23S1KtA/ajpV+DTpW1GqRF/fGolaL/PuhIa0ewT90IYe9kZmsnuDJCFnTBB9oHPqr9TYPSS7U5UDuj8mmYaff/d6aj7IvTunLUDcbnt8Ty8wvTvPp/MFM8+7VqMtBFEX2RGTofEIAjiXmY2Z09aNw6GuTGh0aAjw51pM9ERl8ezKlkfNjTHox355K4WBcDvp6Ag8McWLlGI/rdvc0h9Yy973ZA3W2sEcT8rAwNmCoazdqlGq2BMvZEixnbO+rb0jD3WyITCtu0Rb100OJfH70MoNdujHczYYRMluGutpgbWbYyB+nYShE354WrF/Ysm1uVyKrpJptIWnsjkinpEpJv16WfPKgD7OGON4T5ZPrcUMhFwThCNDcZMnroigeaO0vEkVxI7ARNCP6rV6hRJtIzCnHzEgfpwZDJptOpxKaUsQnD/q0mFRzLXllNbz64zm8nax4blLzYb51KjUv/3COn2OyeG5Sb9ZO7k1ISiFPbIuivD61x8HahE/nD0Zmb860/5zkpR/OsnuVP3p6msGeX58Zzeod0Ty5PYoZPg78Z8EQDPX1qKit4751J8kortb9vn69LFnk58psXyde2nuWxNzyJiIO4GpnxqzBjuwIS+fJ8Z5Ep2kEPEJejKWJAU+M82R5oOymD7cScsrQ1xN0bownXh5PYaWC7SFp/HruCgqVGldbM1RqsVHgRWRaYwfFB4c689l8TQdQfnktUWkap8fItGI2nkzhq+PJCIJmitTZxpQv/rrMrMGO7ArXdMwY6gu8PXNgl/5ELIoiEfJigoJTOXQhF1EUmTKgFytGyRjpbttlHpsbCrkoik3jZSTuWhJzyund01LXtpeQU8anhxKZMqAn84c73+C7NYiiyCs/nqNaqWLdAt9mP+orVWpeqA84aOiVEuhpj4e9OWczSxnlaceWFSN13//WzAG8/MM5Np9J1Zk/OduYsffJAJ7ZGcOv565wObecAE/7RnXoB4Y4siTAjaGumrqmWi0SIS9icv+eLd6Hx0a783NMAQGxhQAAIABJREFUlm44xqmbKW/OGMCCES5NLHPbiqYryJz4K2V0MzPE1dYMNztzhrra8Pr0/uyNzGR7aJrOU70lxvftrhOa7pbGTPN20B0mVynqiM0oIUpeTERaMWGpRVTWqhqJeNDykQR63d092reLGqWKX85mE3RGzsUrZVibGrJyjDtL/N26VIKRFqn98B7jUm45k/prDvhq61Ss3R2LlakhHzbj59ES20PTOJ6Yzz9mD2zWlVBRp+a53Rpb1WsDDoKTC0gvquKJsR7si8okMu3qZOO8Yc4cupDLJ4cSGd+3u24y1NhAn41Lh/PZoQTWH0smsb7OP8zNhu+WDm80yQmQlF9BcZWSkc0ENhdVKtgemsbWBm8E78/xZsFwl3YzjErIKWeISzdiM0oY7Nyt0eNqZ2HMU+M9WeTvis87f1735zyzKwZLE4MmQRQAZkYGjcpMXx9P5uODCbrrnxjrwajeXU/Ec0pr2B6axs7wdIoqFfTpacEHcwYxx9dJd0bSFbmlZ7YgCHMEQcgEAoDfBEFoPr9L4o6gzQ3s20sTCvGvPy+RkFPOJ/MGtdqhLTm/gvd/j2dcn+4saSapprZOxeqd0fwRl8ObMwY0EfE1O2P4ctFQXru/P+sX+jZKDhcEgQ/memNupM8Le8+iVF2tFZfVKEktuBrftnK0Oz8+FdhExAHdNKefu53uMnlBJW/ujyPwo6P8+/AlfJyteb1+CKekStluIl5eoySzuBo3OzMu5ZYz+JoU9BqliqAzqY1E/HrdPsu3RLByawTJ+RXNXi+KIp8eSuDjgwn4e9hiY2bIsxO92BmeoXtc73VEUSQqrZg1O6MZ/fFffHk8iWFuNuxc6cehtWNZ6OfapUUcbr1r5Wfg53Zai8QtcimnfjS/pyUhyYV8eyqFRX6uTOzXcgmiIdoUmpamNxtOHzb0AdHSGq+NHpYmvD9nEE/viObr48k8O6k35zNLWb0zmsziKkwN9Vk52p0d4elM7N+j2Z7y8NQieloZ42JrSnR6MRtPpHDoYg6Geno84KvJwNR27ZxOKmDz6VQeHeXeLi927WFynVpELaIL7ahRqtgVns7Xx5PJq88Mtbcw4sTLE1gRFIGeAB/N9UFPT2BrsJzzWVddGo/E53EkPo/J/XuwcowHfvW13YYtnRP7dSc2vbRVrZr3CrV1Gm/4oGA55zJLsTQxYHmgjKUBslaf9XQVpNLKPURCvZA7dDNh6aZwZHbmvD69/w2+6yr/PXKZ81ma6c0e1xwE1ihVrPo+klOXC/hgzqBm+9Rb67Vx/yAHZg9x5POjl0kvquKX2GwsTfSxMDZgw5JhBHraE+DVvFBpeoMLKatWMn9DCJFpxViZGPBU/QHmteteM9GL+RtC2B2R3sQK9mbQPsa19Z0nfXtZsuVMqk7Ah7nZkFeuMdX6+elRrNgSQWRaEese9mXWYEdAU2I6m1HC7PrBKC1aQR/kZM2KUTKOJebzv7PZPDHWg25mhqwc49FpDanaQl5ZDTvC0tkRlk5BRS2e3c157wFv5vo6tUuy0b2I9KjcQ1zKLcfW3Ij1fyWRU1bDj08F3jAdSEtUWhFfHU9ifjPTm1WKOlZujSQkpbDZDNCb4cW/9eVAbDY/RGUyprc9Q11t8POwva5Q1ShV/OfwJfLrd7w5ZTW8PXMADw13afEFPkJmy0h3WzaeTGGRn9stmyAl5pRjYWxAZn03zdyvgskrr8Xfw5b/PuxLhLyIqLRiXr2vPy/sjSU6vYT/PuzLzHoR1zLYpRupH97PS/vO8WN0457y81mlvLBXMwlqa27EmolezfbwdwZDqrYQm1FC0JlUfjt/BaVKZGK/HqwYJWO0l32X6T65WSQhv4dIzC2noraOn2OyWDu5N0NcWuedXFFbx9o9sTjZmPL2rIFNrns0KIJIeRH/fmgwc3xb1/lyPWIzSliz8+r4+gAHK57/W9MWR61QFVUq+D5EzvchaTqDrWcnevHspN6tqn2vnuDFss3h/BSd2WycWls4m1FCRW2dzkvGo7s5/33YVxc99/nRy0zq14Pd4enEZJTw+cO+TPdp3tZAEAQ+m+9DDytjvj6e3OxtiioVBH74F4/4ubI8UNbEu7yzo6hT80ecpnwSk16ChbFmQndpgKzJJLBEy0hC3snRDor4u9txKaccRZ0az+7mbUovefeXC2QVV7P3iYBGrXnlNUqWb4kgNqOkUWngZhFFkU2nU/nojwR6Wpnw89OB7I3MYOOpFKYM7Mkwt8ZdKKkFlWw6ncIPUZnUKNVM7NeDpLwKymuUrJ3cp9WJN2N72zPIyZqvTyQzb5jzTR181ihV7AxL52yDBKIJfbuzZcVIQCNIL+3T2NOmFlaSVljFF4/4cv+glr1pQCPmr0zti7GBHuuOXNZd7tTNlBqlisJKBeW1dWw8mcLm06nM8HFg5RiPO5IPeTspqKhlZ1g620PTyCuvxd3enHdmDmDe8FtvD+2KSI9YJ0fr6f32jAFUKlQY6etRUKHA17V1u/GDcVfYF5XJmgleDG8wvVlarWTp5nAuZJW2SpBuhNZ18Uh8HlMG9OTTeYOxNjOkd09LTl0u4IW9Z/njuTGYGRkQlVbMxpPJ/HkxF0M9Peb4OrFyjDu9e1oy7tNjjJDZtim2TBAEVk/w4sntUfx2/gqzW5mGBM0fYpob6VOpUPFEgzOBL48l6Wx70wurWP+IL/e18jETBIFHRro2EvJf1owiLruUp3dE49TNlEu5FdSpRfbHZrM/NpsADztWjXVnfJ8eHRpG3FbiskrZckbO/85mo1CpGdenOx/PkzGud/dOdT/uNqTw5XuA4OQCntwWRVlNHWZG+ny3bHiraqd5ZTVMXXcSZxszfno6ULeLL6lSsHhTGIk55Xy5cChTbhAZdyOi0op4ZmcM+RW1/N/9/VkeKGtU8wxNKeThjaH0tDLG2caMqLRirE0NWezvyrJAmS6dJae0Bv8Pj143Tb4l1GqRaf/V+LMcfG7sDUVDuwP/+kQy+fU18CEuNmw4kcwoLzuCkws5/85ULIwNiMsqZcYXGvMqAz2B9QuHMs279Y9ZemEVizaFUlShoJ+DFVFpxTham1CtVOm6VC5kl7I9NJ39MVmN0ui9eliwcrQ7D/g63bVj6EqVWpOudEZOZFoxZkb6zBvmzNIAWbNzChItI4Uv38MEetqzLEDGF8eSeGy0e6tEXBRFXv5BM72pHYsHTU120XdhJOdV8M2SYa1uXWwOtVpk46kUPj2UiFM3U358KrBJ5mGNUkVSnqaHOresltyyWt6ZOYD5zRxgas2nGvaPtxY9PYGnx3uxdk8sh+NzmdrCm1NzAv55fQ18w4nk+tuo6d3DAgtjAxR16kYGWl8uGtriz26OS7nlLP4uDIVKzc5V/gx26cbyLeEcT8xnZYO/5UBHaz6cO4jX7u/Hj1GZbAvVxMsl5VXw6k/n+ezPRJYGyFjs74ZtM733HUFRpYJd4ZryyZXSGlxtzXhzxgDmD3fWhYtItA+SkN8DBCcXsCM8XefpHeBpd0Mx3xaaxolL+bzXYHqzoKKWRd+GIS+s5NtlwxnXp3XpQc1RWFHLi/vOcjwxn+mDHPjwwUGNXryFFbV8H5LGtlDNAWbfnpYk5pbTw9KYOUOdm+1CCU8txNxIn/4ObTO50jLDx4F/H77EV8eSmDKgZ6NPBdcKeICHHV884ou/x9U3jYQrZThYmxCfXcYId43f+/u/XdSN4s8d6tQmEY/NKGH5lnCM9PXY+0QAfXpaEpxcwLnMUp6Z6MWOsKa99FYmhqwY5c7yQBkhyYV8H5LG4fhcCioUmvt2PIkHhzrz2Gj3ZuPx7gQXs8sICk5lf2w2ijo1o73seW+2NxP69Wi1YZtE25CEvJNzM8nlSXkVvP9bPOP7dmdx/fRmXlkNC78LI7O4is3LRzDqFjw8wlOLeGZXNMVVSt57wJvFfq460UzJr2DT6VR+iMqktk7N5P49WDXGg5HutpzLLGXu18H8438X+ddDg5v9ucNktjc9pfnd6VT+NqAnm06ncjqpgDG9u3M8MY9tIWmcyyptUcC1JNS3Hl4prSFCXszGE8lsDUkDNL7l84a1vqMnOLmAVVsjsbMwZvtjfrjamTX5WwZc528pCAKBXvYEetlzpbSaXeEZ7ApPJ7+8lh1h6ewMT2dy/56sGuPBCNnt996uU6k5Ep/LljNywlKLMDXUZ/4wZ5YFyppYKku0P1KNvJPT0N5Ui3ZX19yAjqJOzdyvz5BVXM2htWPpYWXCldJqFn4bRm5ZDZuXj2hWxFqDWi3y1fEk/n34Em525qxf6MtAR013RVRaEd+cSOFwvOYAc+5QzQGm1m9Fy7//TOTzv5LYuGRYo9p8UaWCoe8d5uWpfVk9weum1hecXMDq+tQeVztzfJys2R6WhiiCn7stq+otbctqlJRWKymrVlJWXUdptZLCSoWutHIt5sb6fLu0decSAIcv5rJ6ZzQyOzO2Peanc2Fs69/yWrS16G0haTobA9D0rK8a4860gb3azapAS0mVgt0RGWwL0ZiEOXUzZVmgGwuGu2JtJpVP2puWauSSkHcxPj2UwJfHktmweBjTvHuRVVLNIxtDKapUELRiRKPOlbaQX17LC3tjOXW5gFmDHflg7iBMDfU5fDGHjSdTiE4vwdrUkCX+biwNdNMdYF6Lok7NnK/OkFtWw6G1Y3UeMdowh31PBrTojd4agpMLWL45AoWqsSe4noDOlratPDvRixem9G3VbX+OyeSlfefwdrImaPmIZr1k2oNLueVsC0njp+hMKhWaw1FnG1NWjHJvNwfIoGA5P8doWkP9PWxZMcqdyf17SuWT24gk5BJEyjWpMvOGOfPJvMFkFFXxyLehlFYr+f7RkTedHh6cXMBzu2Mpq1byzqyBPDDEiR+iM9l0KgV5YRUutqasHO3B/OHOrZo0TcgpY9YXZ5jUvwdfLRqKIAj889eLfB+axvl3pmBscGvdGc/uiuGXs9kAzB7iiLWpIdamhliZ1P9raoiVqcHVy00NOZaQx3O7Y7E2NaSsRgkiGBno8cRYD7aHpbfK8+T7EDlvHbhAgIcd3y4bfkf6pbUDYttC5Lr0KEsTAxb6ubIi0L1ZP/eWUKlF/krIY8uZVIKTCzE20LSGLguU0d/B6jbdA4mGSF0rXZzyGiXP743F2caMt2YORF5QycJvQ6lUqNix0q9JN0lrUKlFvvjrMp8fvYy7vTnrFgwhLLWIwI+OUlylZLBLN76a1o+pA3u1aZfWr5dm0vPjgwn8cjab2UOcCJcX4evS7ZZFPDi5gNNJBQR42BGSUoifuy0L/Zq6PF5LYk45gqDprwfNDv7LRUOZ3L/nDc8lRFHkq+PJfHookcn9e7J+oe8daxW0MDZgib8bi/1cCU8tYltoGgfjcvjmRAqbTqUya7DGZGyAY8tCXFqtZF9kBltD5GQUVeNgbcIr0/ryyAjX2/aJQqJtSELeRXj3fxfJKq5m35MB5JbVsPDbUBR1anau8tPVsdtCXlkNz+2OJSSlEF/XbrjZmvFoUET9AWZPHh97a4dsj4/1YFuonNd+PMdAR2viskpZM8GrTTXja2l4mOjtZI3f+0d4+5cLyOzNb7ibTswpp+GH11em9dMFW1zPwEoURT78I4GNJ1OY4+vEJ/N82jR1214IgoCfhx1+HnbkldewJzyDneHp/BSTxU8xWYzysmPVGA/G9bkadpGUV87W4DR+jM6kSqFipMyW1+7rz5QBPdu91i5xa0hC3gU4GHeFH6IyeWaiF1Ymhjy8MRS1WmTX4/7069X2j8SnLufz/J5YCioU6AmaNroL2WU8ONSJx0Z7tMuQh76ewEtT+vLC3rMs+CYYtQjmxgY6Ib4ZrrXZfWy0B+uPJXEsIe+GQq51PQTNwei1byTNGVip1CKv/3ye3REZLA1w452ZA++K6cUeliY8M6k3T4335Eh8HttC5ZxJKuRMUiFePSzo3cOCuKxSMoqrMdLXY9YQR5YHyiirUXIus1QS8bsQScjvcfLKanjtp/P4OFszdWAvHt4Yip6ewO7H/endirawhp0UdSo1645cZv2xJN31VqaGLPV3Y0mAjO6WrQuvaC1zhzpzLrOUoGA5Qv1atJOON8O14rtilIxNp1MprDfiaomyGmWj2LZvlzUpUTZBUafm+b2x/HbuCs9M9OKFv/W56xz8DPT1mObdi2nevTibUcIDX50hKa9CN6AF8MEcb+YNd2n0aUbi7kMS8nsYURR5qX56c9UYD5ZsCsPIQI+dq/zxbOWwiNbL5b3ZA9kanKabruxhacyaiV7MG9a6A8yb5a0ZAziemIe8sIol/m7tattqZ2HMIyNd2Roi5/nJfXCxbT6s4FKD3Thww6nEaoWKJ7dHceJSPq/f359VY9tmJ3AnScmv4PuQNPZFZiCKmoBrOwsj8struZRbwUs/nGNHWDpphVWsX3Tvhlh0diQhv4f5PiSNk5fyWTDchTf2x2FupM/OVf7I2mAPGuhpz38fHsKyzeGoRU3JY80EjYXsnWgzC00tpKy6jmcmaKZW/VsxtdoWHh/rwfbQNDacSOb9OYOavc2OsHTd/1dPuH5tvqxGyWNBEUSmFfPR3EG3bJt7O1CrRU4lFbDlTCrHE/Mx1BeY6ePIskCZLvFIFEWi00v4v5/PE5NRwuNjPSQRv4uRhPweJSmvnA9+j8fGzJDfz1/B2syQXav8W9x1Xo8xvbszoW8Pjibk8fR4z2a9w28Huo/z9TvBllKDboVe1iY8OMyZfZGZPDupt244R0u1QsXPMVm6r6/X3VNQUcuyzeFcyi1n/SNDW/Qh7ygqauv4KTqToGA5KfmV2FsYs3Zybxb6uTbp6xcEgdo6FfnltTrrh/F9u0tifpciCfk9iKJOzdo9sdTWqamtU+Nqa8aux/1xuslQguDkAmIyStrk5dIetCYDtD14apwneyMz+PZkCm/MaByU/MmhhEZftxTWkV1SzeJNYWSXVPPt0uGM79uj3dZ3q6QVVvJ9SBp7IzIor61jsLM16xYM4f5BDi0mJt2M9YNExyEJ+T3IuiOXiMvSeGO725uza5V/mwY/GtKRL+jWZoDeKq52Zswa7MiOsHSenuClcw8MSylkyxm57na9rEya7NhBU2desimcsmol2x7zu6XJ0/ZCFEXOJBUSFJzK0YQ89AWB+wc5sHyUjKGtGPy6U2+iEu2DJOT3GBHyIp0niGd3jYhfG0jcFrrKC/rp8Z78HJNF0JlUXpjSlypFHS//cA5DfQGlStNA7uPctN/+YnYZSzeHIYqw63H/Dk/uqVLU1d8POZfzKrAzN+KZCV4s8ndr9k2oJe7Um6hE+yAJeSenYXtgeY2S5/fEohbB3sKI3Y8H3HJLYFd5QR9NyGO4zIagYDmrxnrw2aFE0ouq8HO31RlQDb6mrBKVVsTyLRFYGhuwbaVfqzuBbgcZRVVsC01jd3g6ZTV1DHS04rP5g5nh43DXBk5ItB+SkHdytO2B6xf68mNUFpnF1ejrCbw/Z1C793Xfy/g4W/PVsSTKaup4ce9Z/ryYi7GBHjJ7c52QN6yPn7yUzxPbouhlbcL2lX43ff5wK4iiSGhKEUHBqRy+mIsgCEwb2IsVo2QMc7v91rUSdw+SkHdytKWOx7+PoqK2Dn09gQ2LhvK3W4xn62oEetqzYckwlm0O58+LuegJ8M3iYfwce7VjRVs2+f38FZ7bHYNXD0u+f3TkHX/DrFGq2B+TRVCwnISccmzMDHlynCeL/d1w7IA3FImORxLye4BAT3tG97bnYFwOj412l0T8Jgn0tGeOrxN7IzOZO9SJ8f168NFBTdeKR3dzrE0N2RuRwas/ncPX1YbNy0dgbXrnPLezS6rZFprGrvB0SqqU9OtlyccPDmL2kLs3r1PiziAJ+T1AcHIB4alFUr/vLRKcXMCR+DxdzNrJS/m6cfUhzt347lQK//wtnjG97flmybDbOtGqRRRFIuTFBAWncuhCLqIoMmVAL5aPkuHnbiuVTyQAScg7PVK/b/vQXMzaU9ujqKtPm/grMY+fYrK4z7sX6x4ecst2ujeiRqnif2ezCQqWcyG7DCsTA1aOdmexv9tNDXVJ3NtIQt7J6Srtgbeb5h7HJf5urD+maeUsqVLy0HBnPpgz6La6/+WU1rA9NI2d4ekUVSro09OCD+YM4gFfxzvyCUCicyI9Mzo5XaU98HbTbL6p6qoB+RJ/N/4xe+BtKWVofU2CguX8cf4KKlFkUr+erBglI9DTTiqfSNwQScglJJqhRqli48kU3de3Q8Rr61T8fv4KW87IOZdZiqWJAcsDZSwNkOFqJ5VPJFqPJOQSEtdQWVvH49uuZsou9ndtVxHPK69hR2g6O8LSKaioxaO7Oe/NHsjcoc6Y34EcT4l7D+lZIyHRgJIqBSuCIohJL9FdNvgm8kyb42xGCVvOpPLb+SsoVSIT+/VgeaCM0V72d0VykETnRRJyCYl68sprWLopnJT8SlaNcefbU6lAy46HrUFRp+aPuCsEBcuJSS/BwtiARX5uLAuU4d4GX3gJieshCbmEBBqvksWbwsgvr2XLihGk5Gv6x82N9PG4CQ+VgopadoWlsy00jbzyWtztzXln5gAeHOaM5Q0ShiQk2sotCbkgCJ8CMwEFkAysEEWx5PrfJSFxd5GUV87i78KpVqrYvtKPoa42/H7+CgCDnK3blIQUl1XKljNy/nc2G4VKzdg+3fn4QRnj+nSXyicSt41b3ZEfBl4TRbFOEISPgdeAv9/6siQk7gznMktYtjkcA3099jzhT79eVgAk1ud0Xut42BxKlZo/L+QSFJxKhLwYMyN9Hh7pwtIAGV49Os4RUaLrcEtCLorinw2+DAXm3dpyJCTuHKEphazcGkk3M0O2P+anyzIVRfGqkF/noLOoUsGu8HS2h6ZxpbQGF1tT3pjen/nDXe6oB4uERHvWyB8F9rR0pSAIjwOPA7i63n2BtBJdi78ScnlqezQutmZsf8yvUYJSVkk15bV1QPM78ovZZWwNlrM/NovaOjWjvOx4b7Y3E/r1uCOB1BIS13JDIRcE4QjQnJ3e66IoHqi/zetAHbCjpZ8jiuJGYCPA8OHDxZZuJyFxuzkQm8WLe8/S38GKrY+O1EW7adHuxu0tjHGsF/g6lZoj8blsOSMnLLUIE0M9HhzmzPJAGX16Wt7x+yAh0ZAbCrkoipOvd70gCMuAGcAkURQlgZa4q9kRlsYb++MYKbPlu2XDm+0gSagX8iEu1pRWK9kTkcH3IWlklVTj1M2U1+7rx4IRLnQzM2ryvRISHcGtdq1MQ3O4OU4Uxar2WZKExO3hq+NJfHIwkYn9evDVoqEtenhrd+RH4vPw//AoNUo1/h62vDljAJP797itplkSEjfDrdbI1wPGwOH6EeZQURSfvOVVSUi0I6Io8vHBRDacSGbWYEf+9dBgDJsRY5Va5K+EPH45m627bPZgJ5YFyhjgaHUnlywh0SZutWvFq70WIiFxO1CpRd46EMeOsHQW+bnyj9neTQ4kS6uV7IvMYGuInIyiat3lf7047qaGgSQk7jTSZKfEPYtSpebFvWf55Ww2T4335JWpfRuZXyXlVbA1WM6P0ZlUKVSMkNnwwBAnvvgrCTc7M0nEJToNkpBL3JPUKFU8vSOavxLy+Pu0fjw1XuM3rlaLHL+Ux5Yzck5dLsBIX49ZQxxZHijD28ma/TGasOX2MsqSkLgTSEIucc9RXqPksa2RRMiLeH+ON4v83CivUfJDVCZbg+XIC6voYWnMi3/rwyN+rthbGOu+Nz6nDGjdRKeExN2CJOQS9xRFlQqWbQ4n/koZ6xYMwce5G+/8coF9kRlUKlQMde3GC1P6Mm1gL4wMmh54Xp3otL7TS5eQuGkkIZe4Z8gprWHxpjDSi6pY7O/G/pgsntsdi6G+wAwfTfnkRjvtxJxy9PUEBjpKQi7ReZCEXKLTsuFEMj7O1gR62iMvqGTxpjAyizVdJ0HBcuwtjFk7uTcL/VzpYWlyg58GpVVKrpTWMMDBClOj5nvMJSTuRiQhl+i0+Dhbs2ZnDH+f1pdPD12ioKIWAA97c56Z5MX9gxwwNmi9ICfo6uPSblyicyEJuUSnJdDTnvULfVm2OZw6lYiRvh6vz+jPUn+3m8rYTMy9seOhhMTdiDRrLNGpCfS0Z3mgDBF4cpwHywJkNx2UnNAGD3IJibsJScglOjXByQX8GJ3FsxO92B6WTnBywU3/rMScckwN9ekthUFIdDIkIZfotAQnF7BmZwzrF/rywpS+rF/oy5qdMTcl5towCW8nK8kUS6LTIT1jJTot5zJLWb/Ql0BPe+BqzfxcZmmbf1ZmcTUVtXVSfVyiUyIddkp0Wp4c59nkskBPe52wt4W2ZHRKSNxtSDtyiS7NhhPJBCcXNOpYCU4uYMOJ5A5emYRE65GEXKJLo+1FP3U5HxszQzKLq1izMwYfaURfohMhCblEl0ZbV49ILcbK1JA1u2Ia1d0lJDoDkpBLdHkCPe0Z37c7aYVVLPZzlURcotMhCblElyc4uYCYjJJ26UWXkOgIJCGX6NK0Zy+6hERHIQm5RJemPXvRJSQ6CkEUxTv+S4cPHy5GRkbe8d8rISEh0ZkRBCFKFMXh114u7cglJCQkOjmSkEtISEh0ciQhl5CQkOjkSEIuISEh0cmRhFxCQkKik9MhXSuCIOQDaXf8F9889kBXbCyW7nfXQrrfdz9uoih2v/bCDhHyzoYgCJHNtfzc60j3u2sh3e/Oi1RakZCQkOjkSEIuISEh0cmRhLx1bOzoBXQQ0v3uWkj3u5Mi1cglJCQkOjnSjlxCQkKikyMJuYSEhEQnRxLyViIIwqeCICQIgnBOEISfBUHoEnHrgiDMFwThgiAIakEQOnWLVmsQBGGaIAiJgiAkCYLwakev504gCMJmQRDyBEGI6+i13EkEQXARBOHPqsRhAAACEElEQVSYIAjx9c/x5zp6TTeLJOSt5zDgLYqiD3AJeK2D13OniAPmAic7eiG3G0EQ9IEvgfuAAcAjgiAM6NhV3RGCgGkdvYgOoA54URTF/oA/sLqz/r0lIW8loij+KYpiXf2XoYBzR67nTiGKYrwoiokdvY47xEggSRTFFFEUFcBuYHYHr+m2I4riSaCoo9dxpxFF8YooitH1/y8H4gGnjl3VzSEJ+c3xKPBHRy9Cot1xAjIafJ1JJ31hS7QNQRBkgC8Q1rEruTkMOnoBdxOCIBwBejVz1euiKB6ov83raD6S7biTa7udtOZ+dxGEZi6T+nPvcQRBsAB+BNaKoljW0eu5GSQhb4AoipOvd70gCMuAGcAk8R5qwL/R/e5CZAIuDb52BrI7aC0SdwBBEAzRiPgOURR/6uj13CxSaaWVCIIwDfg7MEsUxaqOXo/EbSEC6C0IgrsgCEbAw8AvHbwmiduEIAgCsAmIF0Xx3x29nltBEvLWsx6wBA4LghArCMKGjl7QnUAQhDmCIGQCAcBvgiAc6ug13S7qD7PXAIfQHHztFUXxQseu6vYjCMIuIAToKwhCpiAIj3X0mu4Qo4AlwMT613SsIAj3d/SibgZpRF9CQkKikyPtyCUkJCQ6OZKQS0hISHRyJCGXkJCQ6ORIQi4hISHRyZGEXEJCQqKTIwm5hISERCdHEnIJCQmJTs7/A5tAi7c38JJ4AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "data1, data2, data3, data4 = np.random.randn(4, 100)\n", "fig, ax = plt.subplots(1, 1)\n", "my_plotter(ax, data1, data2, {'marker': 'x'})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "or if you wanted to have 2 sub-plots:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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7sdtVOtJWsRJYAnzfwjb7RFGcdHUO59rC28laro03fv5i7ErIk39eeySdWpVUbs0sqTFpyJuhXQTyi3VC6mNrqaSPn1OTlu6Sqjo2xGTy/l8JRAS7Ulpdz6YTWVTWSrd3Px5Nx8XWgq7aDL6rpz2hXvZ09bCXb+N0LN2TjKe9JaIoKVZAyiT06/fSZ0r6dGcbC/xcbHj+xm68uimeddEZTBvgR3Pofr8HVh7lp6Pp2FiY8ekMSbaoL2GMCHblxh5efLE7mWkD/GR9bVsQnVrM/LWSY+FLE7tz/7AgFIqLfyl+8FcCFwqrWPPAYGwt28XpBoAoinsFQQhs6+O4VnlidDAvbDhl8FxrFikLK2p5bl2c/FgXxHWYNOTGaRdX1qV0QjaHk40F9w0Lolsnex78/hj9/J2xMFOweFY4DlYWnNNm7wm55ayPzpCHRYC0sNLF004uz9hamLHgt3hA0pBHJRew40xukyGPxVXSAoyzjWSMP3tIAJvjsnnzj9OM6OreYuCNDHajs4cdpzLLqKnX8MSaWCyUiiYdnS9O7M7OD/N4b2sCH9x59eWIGo3I0r3JfPDXObydrFj3SGSrfVGiU4tYfiCFWYP9L8sicBsQIQjCCSALeEYUxXhjGwmC8BDwEIC/v/9VPLz2S2GllOSYKQTUGhEPe0tenNi9xQAsiiIvbDhJaVU9b93ek5c3njK6nUlD3pR2EcgvJ5HBbng5WLEvsQBHayVKhYKhIa4M69IQSHSmVYm5FXL9PSG3nB8OpTbJAKZ/fQgrcwV2lkoKKuqoVallfbQuI3fSZvQKhcC7U8O58eO9vPTrSb65Z0CzJZao5AJOZ5XhZG1OZa2Kyjo1we52Tb68/F1tuG9YEEv3JDMnMoBw36tnLmXgWBjeiYWTe+FgZbwLtjE19WqeXReHt6M1/5vY/Qof6RUhBggQRbFCEISJwEbAaH1LFMWvga8BBgwYcN3PA6ysVbFs33lGhbpja6nkj7hsPp3R96LrIz8dTWf76Vx6+znx9uYzzW5n0pA35ZoL5FHJBfJ0kbJqFQ/9EM2wEDcWTAqTdaz6plWjunnI71VrRNKKqkjIKWfeqmj5+dp6DTX1UvYd9so2Al1tCPWyZ8vJHEDyfwhwsUFppiDIzZZnJ4Ty1uYzfPBXAs9MaKgL6+rf4b6OPLo6Bo0Ind1tScgtp75WTVxmKWsOpzJzsOFwhcdGBbMuOp03fj991eSI+xMlx8LymnoWTu7F9IF+l/S5H20/x/n8Sn64fxB27aik0lpEUSzT+3mLIAhfCILgJoqiae7cRVh1KJXiqnqeGNOFlQcuAFJS0BIpBZW8oK1/n0gvobefEyfSS5psZ9KQG6fdyA8vB7pF0/en9UYQ4Pa+3thYmBGTWsTET/fxym+nKK6sa/b9ZgqBIDdbbuzpxZDODQ0rDtbmDAqUPEEeuSGYYHc7TmfJ1zljPthD2CvbuOmTfTz5Yyw1WtnVkl3JbDmZZXBs4b6OxGWUMiciEIDT2WV8c88APOylRcMFv8VzINEwVujLEfVVO1cClVrDe1vPMnvFYZxtzNn0+DBmDPK/pCAem1bMN/vOM2OQH8O7uF/Bo71yCILgJWh/aUEQBiFdK4Vte1Ttn+o6Nd/sO8/wLm7083eWZcR5LQTyerWGUe/vlh8/OyGU9fMi6NaogcjHyZqFk3uZ6uNG6HipUgvoL5r283fmXG4Fy+YM4ND5Ioor61h1KJXfjmfx37FdmDUkoImPuI6o5AKOXiiWH88e4s/y/RcAeGpcV3mRb+Y3h4hKLuT9ab1J1Nbfj6QUyUMjAB5dHcvAgAskF1TKxxYZ7Marv53S7lvqCB3T3YO1R9JRa0RWHU5laBfDEsu0AX58fzCVRX+eZVzYlZEjZpZUM39tLNGpxUwf6Mert/TA2uLSPkdXUvF0sGrXJRVBENYCIwE3QRAygFcBcwBRFJcCU4FHBEFQAdXAdFFs5dDW65g1R9IoqKiTpz3pEoC8cuOj28pr6un12l/y4y3zhxPmLVkdq/RkYrf29pYFASaack0Fcv1F0/Fhniz88ywBrrZy3XnWEH/e+P00r/1+mtWH03jlljCjGWNcRim2FmYEe9gRm1ZCVZ2GSeGd+CU6A40ootAue9bUqxka4srU/r4G7y+rqScxt5wnfzpOelE1R1OLmdrfx6D+fTilCIBxYV4ADA1xY+2RdGwtzDh0vpDiyjqc9aaLmykEXrkljOlfH+Kbved54jKPRdsWn8Ozv5xAI8KnM/pyq1YWeal8+nciSXkVrLx3YKvr6W2BKIozLvL6EiR5oolWUlOv5qs9yUR0dpUtGHQ3csZKK1FJBcxcdlh+nPDWjQb+PLoSqUKQAr6J5rmmSiv6jAuT/D62x+fIz3XzcmD1A4P5anZ/alUaZi8/wgPfHSWloNLgvbOHBFBWo2K4VmlxIqNEdvHT15KXVNfjZGNBYxyszOkf4MI7d/SSby3Xx2SyLzEfgKLKOnnyUGd3ab+6ID+qmwdlNSreM9IBN6SzKzf1lOSIl2s4bU29mld/O8XDP0QT6GbL5vnD/nEQj8so4au955nW35eRoR4Xf4OJa4qfj6WTV17LE2NC5OcU2kiuH8ir69S8tineIIiffG18E5O1iloVAL39nLhQUMnQRTsJemEzQxftZGNsJiYauGYDeWd3O4LdbdmunbWpQxAEJvTwYvtTI3j+xm4cTC5k/Ed7WLjljPytn1EsyZtCtF2i8Vmlsh2AfndnSVU9zjbGs86o5AL+8+NxFk7uBYAowsM/RMsdrAAOVkpctVm3i60FYZ0cKKyoY25kID8eTeO4kcWe/93UHbVG5N2tZ//NnweQHAsnfxHFdwdTeWBYEOvmRbbKnc4YtSo1z/4Sh5udBS9PCvvXx2aiY1GrUvPl7mQGBjoToadO0a2s5GkHucSkFXPzp/tYGXXBYJsbP97XbHDOL6vhQmEVmSXViDQMlzAF8wau2UAOML6HF4fPF1Fa1fS2zFJpxiMjg9n1zEhu7+PDV3vPM+r93fx0NI3UQilD93O2JtDNlpp6DUl50hBmXRzXaERKqupkDXljdPX6uwb68+RYqQxSVafmQFIhh1OkNbPO7nYGi4jDurgRnVrMvBuCcbezZMHGU038ZHRyxA0xmUZX9S/G0j3JRCUXsCEmg0mf7Se7tJpnJ3TFzd4SC+U/Px2W7EwiIbechdqhyiauL9ZHZ5JdWsMTo7sYnNO6jDyzpJr3tp5l6pdR1Ko0DAtpCPbGgnOdngw4u6yWxosTl+Lbcj1wTQfycWGeqDSiQctvYzwcrFg8rTebHh9KgKstz68/yUM/SNJDPxcbgrQllZOZpUBDRl5eo0IjYrS0AlK9XlcueXRkCDbaRcO4jBIOn5cycl1ZRcfQEDfq1BrOZJfx0s3dOZlZypojaU32/dioYNzsLHnjj9Nc6vpbV0875n57lKd+PkEvH0feur0ny/dfIPxf2OWeyizli93JTO7nw+huxi1sTbQNG2Mzr3hJol6t4YvdSfTxc2J4o0V6hTbCVNSq+GJ3MlP7+/LdfYM4kNxUAKQfnM9kN6jCmjPHMzUGNXBNB/I+vk6421uy/XTuRbcN93Vi3bwIPpneR37u1U3xcpaqq6PrAnlDV+fFs08LpYKftUOb9yUWcFp7kga72xlsNzDQGXMzgQPJBdza25uIzq689cdptp4ylByezCxlYKAz0anF/OfH400cF6OSC1i6J7nJccRnlfLWH2eoV2mwVCro6ePIgt/i/9VAjDqVhmd+OYGLrQWvmEoq7QqdleyVLkn8GptJRnE1/xljmI2r1BrWHkmXH795e08WTQ7n9d/jaS7/0AVnY2XFxpgagxq4pgO5QiEwtrsnuxPyqFWpL7q9IAjc1sdHzip2nM7lW21Dgw5dcqAL5E6tCOQAPX0ceWBYkMFznRuNQbOxUNLP35kDSQUIgsCbt/dApdEwXy9Y6/ToswYHENbJgQNJ+Ty2OqbJ6/oZtiiKfH/wAnd8EUVlnYo1Dw7B1daC5ftTmNDD818NxPhidxJnc8p5545ezd6dmGgb/q2VbGtQqTV8viuJXj6OjAxtUIAl51cwdelBg23DfRz5NuoC+xKb76nSBefo1OJmtwFTY1BjrulADpIMsbJOTZSRW7nmyC+vZUw3D3Y+M5IeWk2rDt1wiYb2/NYHr2canXidG2XkIJVX4rPKKK6sI8TDngeHB1On0vDg98e499sjsqnWsC5uvHJLGIWV9dhamjF3xVGmfBFl4CIJkmPhvFXRvPJbPEODXdkyfzgiItlaadePR9JZGZXS5Dhaw+msMpbsTOK2Pt6ySshE++FqzLvcdCKL1MIqnhgdIg9fWbE/hYmf7ONCYaVBorP9dC5v/nG62X3pgnNCTjmbTmQ1u52pMagplyWQC4KwQhCEPEEQjLvctCERwa7YWJi1qrwCUvaaUVyNn4sNPk7W/ProUIPXp3wZRVxGiZyRbz2VY2w3RmncxGNmxD1waIgboggHz0tfPE+MDqGToxWVtWp2JeQza5A/Pk7WLN+fwqd/JwKQUVxDnVpDdFoxU/v7ykE8WtvRuvNsHi/f3J3lcwaSkFvOY6tjEIEZgyRHxdc2nebL3Umt/j1Aqos+u+4ETjbmvHZLj0t6r4mrQ3Olh8tVklBrRJbsSqKblz3jwjxJL6pi5rJDvPHHaYaGuPHXkyMMpKxLtL7ikcGuCAKM6OKGj5M1AlJwfuO2HiTlVTDh470AhHraMyjIcCTge1PDTcMljHC5MvKVwI2XaV+XFStzM0aGurP9dG6TUW3GKKmqp6JWha/WvtZCqSDA1UZ+/XxBJbcuOcBTP58AYGCAc6uPpaymHv3Yfctn+5ts09vXETtLJfuTpNtPW0slU/o1nLRf7E7ihsW7efOP0+SX13JzeCcAeb9rDqdxILGAz3clcedXhzBTCKybF8kDwzujUAjEZZTy8s1Sx+XAQBd+f2IYAS42LN6WwO8tZEGNWbo7mfisMt66vadB45KJ9sOzE0KxNtIBPH2gZLH8TxdCde8LfnEL5/MrGRzkws/H0rnpk32cyizjvSnhLJ8zAA8HK1m1ouPuIf5U1Kpws7Nkyax+HHhhNCmLbuaDO3vz5e5kluxKkiW5r93aA69GDqKtdd683rgsgVwUxb1A0eXY15VgXJgn+eW1nMgwXEDRSfH02az1RvFzaQjeQXq1bFsLM5z05HXn8ipaVX8HiL5QbNBQVF2vZv7aGINjUJop6Oppx8bYTP48mc3s5YdZsqth4dLL0QobCzM+uqs325+6gVmD/bEyV8j77dbJnjnfHmHxtgRu6unFH/OH0Vvv5J93QzCeDtKXlI+TNe72lvw+fxgDAlyY/2Msqw+nXvT3SMgp59OdiUwK78SNPTs1ed3Y37W5BVgTV47b+/qwcHIvfPQycDtLM1YcSOHL3Un/aCFUfwFVxw+HUnl+/Ul6+Tjy53+Gc6eewdpPR9MN3t/Ny0FOJhyszCmtrud/G+KY/vUh6jUavr9vEHcPCUAhSANYvBwNA3ljgYAJiWu+Rg4wOtQTM4XQpLyim9Sjv1C46E9pIcjP2Xggd7Qxp6S6Xja5WrwtgXEf7mVbfM5FpYCHUgpRKgQEAdkQaNOJbHmxMqO4itc2xROTVkJVnZpHVsdwNMXw+3FgoAvL5gwgV9tgEZdRyhez+uGmndRz7EIxgiCNyPpsRl+jbfKZJVVAwy22g5U53903iFGhHrz06yk+35XU7O+iUksqFQcrc16/1XhJxdjftfECrImrw+19fTjwwmjWPjgEgDmRgZibKf7xQqix92lEcLRWsvqBwXICpFJreG1TvMG2YZ0cWLwtgYjOrtza25stJ7MZ++EefjqazkMjOrPtyRGM6OrO8fQSunraY2upbOLpb6wcaeIqeq20pfm+o405g4Nc+Ot0rsG4schgNz6b3peHvo9mYKALh1MKsbNUUlGrYve5PI6lFiGKsOdcvvyerBJpkVDn5ja8ixv7Egt4WKs9v62PN1097RFFEVGUmh002p+/2nNe3o9+i31xVT0zv2loV9bnzoGSWZaOjcezOJNdzqAgF17eeBJRhJT8SgoqGlqgHa0tsLdS8ty6ODQiiEgHIiKtAYFIZfUAACAASURBVOhMvd7ZcgYzhSA1W4gNF8nibQks3pbA2O66BcyG32Xn2QZN/n9/PiEHfFH7OaIo/exhb8k9y48wsVcn9icV/CuJo4l/z5DOLnTzsmfn2XxWPTCY8R/tNbrdxRZCm3u9rFolm8mVVNXx2JoYDiQ1CAycbcw5nV2GUiHw6KhgHvw+mh1ncunh7cC3cwfS00f6khdFkePpJdzUU/Ig0i+t2F9hO+SNsZks3pZAVkk13k7WPDshtMPU4q9aIG9r8/1xYZ68/vtpUgoqDTLsLl52VNaq5KahKu3koPe2tk6i1VhK9dvx1tWZi410m+qwVCrkARf6QVxHQm45mSXVmJsJRvdTUFHL3nMFCILU/qy7zRWEBhMjgLM55VILtd52we62JOdLmvkdZ3Lp6mmHmUKyCUvOr5Df29vXkdLqeu37Gt6ve5xRXI1KI7LpRBbzR4eYgngbIwgCcyMDeWHDSYor63C3tzRqZGWuVMh+4MZwsbWg0IgVtKO1OUMX7SSrpFoK6KLI0BBXOZg7WptTXFWPpVLBI6tiUGk0vDixG/cNDUKp50KaUlBJaXW9XAv3cmyYCdu4ge5yoisZ6e4gdKUm6BjzQa8p98OW0AXy7adzeGhEg0tiUl4FDtbm+DpbE6/nMf7J9D4MDXFDQFKmvKQdO9X4AnhqXFfuHxaEIEBpdT2f/p3I2iPSHM7/ju3K7IgAiirreG1TPH81Ku3cHN6J6jq1nOU625gjCAJLZvbl7c1nJBXA4ACW7TuPQiEwPMQNJxtz1sdkMn9MCP4uNjy3Lg5RhHcm98LD3pK7vj4EwKEXxzT7t5j5zSFq6tVsaKTI0SGKIh/tSOTTvxMJcrPlk+l9USoEpiw9SFphJX/99wbc7ZsfunwgqYBZyw5joVTw8IjOrDqcxpBgV1Mwb2Nu6+PDoq1nWRl1gZcmduf59XEGE7HMzQTMFQK3fX6Aib286OPnxHdRqWSVVOPlaIW/izWFlXUIYNAyb64QqKxTUVItJRVqjYi5mcAxbVlQEOBCoVTOq6xTM7yLG2/f3gt/PRGBDl0jUF9/SUTg5dhQ3zcm171ctFRq6giB/HLJD9cCB4FQQRAyBEG4/3Ls93Li62xDWCcH/opvCKa62u2Xd/dj8/zhLL27n/zaf348zt3LDrPzbB5T9GxqG2cxT4wOwdZSiY2FkpSCSgJcbdn25AgslAre3nKGbgu2ErloZ5Mgfu6tm/h8Zj9uCW9YLCyuqmfJzL48viaWIDdbympULN2TzIBAZ1RqDQeSC5jS35dhIW68s+Us81bFEORmy+b5w7mltzeD9cyKjE0w13/Nx7npRaRDEASeGteVVyaFsS0+l/tWHuXTnUmcSC/htVt7tBjE88pqeGRVNAoBlt7dj6fHh8q/U+MFUBNXF2sLM6YP9GdbfA4Dg1x4d0q4/Jq5mcCbt/Xk8EtjeXJsF3aczuWdLWflxdDs0hoOpxQzrrsHi6eG42YnKUvc7Cyws1JSrza8ya5Xi9SpRcaFeRp0cb4yKYzv7xtkNIiDFMhtLcwI8ZCCtofeueZgdeXyzquhub+SXC7VygxRFDuJomguiqKvKIrLL8d+L8alqiPGhXkSnVYs15P1B1EAjA/zQqkQ6B/gzHtTwhFFeHZdHMPe3dXsMXyp/azdCXk89H00R1OKmLPiiNwwpI+TjTnDu7jR08cBC6VCmsbTaHEp1NOeJTP74q+nmjmXU45GhMn9fPB0sDIwy/plXqTBRaHrdpu9zHjNXaMRyS6pwdup+cHQOu4bFsSHd/YmKrmQT/9OZFCgS4sWtyq1hifWxlJVp+bdKeGy70pksBtLZvYlLqP0op95tbhY74Mg8akgCEmCIMQJgtDP2HYdjdkR0hjBHw6mcntfH0ZrRx1qRKnV3kwQeHJsV1xsjX9Zn84uZ+oAP358SFo8fW5Ct2bLhCI0ERgM6+LW4rSp4+klhPs6yes1+sNfymtUrfsl/wGdHI1fDx3FBqBDq1Z06oh9ifnU1Ksvqo4Y30PKDnaekUoZ+sZWIC1gqjQit/f14c6Bfmx9cjg/3D+oSXenPu9tTWDU+7uZ++1RKmpV7E3Mp4+fE4unhnPs5bEkvHWj7H5YUlXPvsQC3LUKkyW7ksgurcFSz3Ww/1s7iAx2M1iULdJeKEl5ldzy2X7MlQr6+ks1RJ2Tog6dRvh8QSWxaU3bnAsqa6lTawwkaS1xW5+G28qE3HJyWvBB/2jHOQ6nFPHe1HCmDfAzeC0y2M1g8Ec7YCUt9z7chDRsuQvSIv2XV+GYrjg+TtZM6OHFj0fTqK5T42xjQSdHKz68szdHLhTxyOpo6lSaZv3udRmqqzbQP7c+rlWf+95UKfvX2dkao6ZezemsMvr4N9Tn9QdKlF2hQC6KotHroSPZAHToQK7L9O5deZRuC7Zy97LDhLjbciSliK2nsjmfX2HgnBbWyQEfJ2v+Om28GzO9WKrj+WmbgQRBYHgXdx6+oXOLx6FbQLW3VPLNPQNYOrs/0wb44WZniaXSTJ6Wors13JWQz3PrTvDxjkQm9JCy1rmRgfL+fj5mqL3VzQs9klJEuK8jW+YPZ+2DQwh0teHV3+INdOyudpbyYq4xd0Sd6sbbsXWB/NsDUvv+9IF+qDUiU788yHm9RU8duxLy+HxXMtMH+jG5n2+T19sbreh9uA34XpQ4BDgJgtBUNN8BmRsZSElVPb8dz8TVTlq8vLW3Nwvv6MXuhHz+82MsnZq5Y9NlqOf1hrHcPyzIaOORPrproLmRbyCZuqk0okHTj851FC7vlCD9Zqjw1//iaGoxw/WsdTuaDUCHDuQgBfOJ2qYUjQinssr45O9E5q2KYfQHewh7ZSuTPtvH0z+f4Jt957FUKthxJo+quqbf7ulF2kDuYli/i8soxfwi+tULBZXMHxtidDLO4fOFKARYPneg/NzPxzIAScNdq9Iwvocne58dBcBz6+JYH90QzI9o54cqFQKPj+qCl6MVVuZmvHZrD84XVLJsn6FXyoQeknQrNq2kiWeFLqPycb54IE8pqGTxtgTGdPNg4eRe/PjQEGrq1UxbepBTehdYVkk1//3pON07OfBaM9ryi9EOm4h8AP1v1Aztc00QBOEhQRCOCYJwLD8/39gm7YpBQS507+TAyqgLuNhaUKfSUFmnZvogfxZMCuPPUzl4O1phbW4YHnQZ6rroDGZoF9X7+DmxYFIYz99kmLnO15sSBPDE2hjA+Mg3HbFp2oVOvUCuX467XKWVxq6Q5TUqzASB7to77zUPDu5wNgAdPpBHJRewP6mAuwb6SlI6UWTF3IFsenwo700NZ/aQAJxtLNiXmM87W87KmUTYK9u4c+lBFmw8xQ+HUjl6oUhWrTS+zZp3QzCuds0v8IFUD/zwr8QmlrMAh1KK6OnjKN9W9vRpKNX8Ep0hf6a/qw03aoPw0780vWV9+46enMpqOLFHhnpwYw8vPtuZKH8JAQae0Iv+PEt1XUPGnqmdfnSx2p9GI/L8ujgslQremdwLQRDo6ePIz/MisFQqmPH1IY6kFFGn0vDYmhhUapEvZvX7x0Oh22ETkbFvbqOyWVEUvxZFcYAoigPc3ZvOgG1vCILAvZGBnM0p51yuNHKwqEKSFN4/LIinxnXlWGoJ/fyd8XGykr1Q3r69J/FZpTzzywkGBDrj42SNs405Pxy8wGubGsywBGCl1jVU1/iWUyqd+wv/PGuQBOhzPL0EHydrPPS04/rrQfq9Ev8GYwoVtSjyo9ZyV6dp70h0aPmh7mKXp9N3duO/Px/nge+O8sG0PtzZqE5bVFnH6awy7l4uLQSqRZGNsZmU1xp+0z/8QzTdvOzp6mlPqJc9IR52ONtatFgfBkmu9NiaWKb1z+e+YUF09bSnpl7N8fQS5kQEyCWJU5llPDIymEdGBhOunSA+7qO9PDyiM+/f2Zutrxov/Yzo6k6nRiWRBbeEseeDfN784zT9ApwJ93Wkf4AzlkoFIR52xGeV8eD3x1j1wGBAUqzYWSovqgD4/uAFjlwoYvHUcIPuumB3O9Y9Esns5YeZvfwwPk7WnC+o5POZ/Qz0+ZdKP39nRFFk5jeHuScigD/istu6iSgD0D+BfIHWm9G0c27t483CP8/I/jqFlbXyovkTo0OorFXx1d7zzLshmOdvDKWsRsX8tbHsOZfP3MhAXrq5Oze8t4tdCfnsSjC8CxGR6tkKAQJdbTibU87uZ0fS89VtAEz6bD8Te3nx1LiuhHjYy+87nl7SxEtFP5DntZDNXwrNNjXVqOjsZtuuh4Y3R4cO5I1VJ7f19cHGQsmbm+N58qfjZBRX8dioEHmV3MXWgmFd3Li9jzd7zuXz00NDMFMIZJXWcC6nnHtXHgWkE+ZgciF1akljqxAMhy43h4OVkoGBLvwam8mPR9MZ0dWdnt4O1Kk0DA5ylecU9vB24L9ju3JI63D45m09OJZazGc7k/hsZ/MuhE7WTc2pfJyseWJMCO9tTaCPn5P8xTa4sytJeeVYmCk4klJEdmk1nRyttV1rVi0qB1ILK3l3awIjQ92Z2r9pvdvbyZqfH46g/1s7OF8gWZXeHP7Py8cf7zjHxzsS5cffH0xtD01Em4DHBUH4ERgMlIqi2PR2q4NiZW7GjEH+fLFbKl3p3DxBythfuKkblXWS/DWvvIbjaSWkF1excHIvJvfz4bOdSWSVtpzYaETkSUBWSgUDA52pqlMzppsHy/ensPVUDnf09eXJsV2wMjcjo7iaORGB8vvzymvIKq3hhq7ucne1KIotnrsXo6Wh5Tp/l45Ihw7kxlQQ43p4MiLUjRfWn+T9v86RUVzNm7f3NJAxje/hxcbjWUSnFjO4sys+Ttbyv0FBLnx0Vx9Uag0XCiul28+ccj5tIcDqUJoJdOvkwOJpvVlzOJXvDqayV3sCni+okB0NP5neBwulgm3xOdhYmDFtgB8zBwdQXqMyaIFvjJW58UrYA8M6sz46gx+PpvPhnb2599ujWJgpKK9V8eotYSz88yzvbU3go7v6kFVa3WJZRaMReX59HEqFwEJtScUYFbUqBKmBj5Kqer6LusAcvQXb1hCXUcKtSw7Ij0d2dScus5S7B/tf8SYibe/DSMBNEIQM4FXAHEAUxaXAFmAikARUAfdekQNpQ+4eEiAH8sIKw25NQRB449aebD2Vw4YYyUjr54cjEASY+Mk+ufv3Yujq2hoRPOytOJNTxlPjQ5kTGciXu5P5/lAqm05kyl5B+oqVuHSpBDOhh5ccyGvqNVhb/LPyXV5ZDXd8fsBofcxKqaBGpaGXb8d0V+zwNXJjWCrN+PDO3jwxOoQfj6Zz38qjBiveI7q6Y2GmMGjSqVdryC6tlhUrSjMFIR72TAr35qnxoc1OArKzbDipiirr+XxXEpEL/2bvuQJG6y18vrOlYeq9o7UFGo3I9tO5jAx1p6ymnntWSM1HLWW2zQVVC6WCN2/rSVpRFQeSCqhTaeRyka2lkgeGBfFrbCaxacVkFle3KD1cfTiVQ+eLeHlS9yZlHB019WoeWxODvaWSHU/dwNjunry6KZ5PdiS2aoZoVZ2KiIV/GwTxr2f3Jy5TusN66io0ERnrfRBFcak2iKNVqzwmimKwKIq9RFE8dkUOpA3xdrLmhq5STb9xA5koiizfn0KBXoCftewQ05YepKZew8p7BzJjkFR56uvv1Gxfgq6EJyIadEW72lny8qQw9j47ijsH+MmDTn4/kUWx1gIgLqMEhQBjuzdcR/9UuZJXXsP0rw/JdxH3DwuSrZ99nKxlfX1HzcivyUAOUtB7enwo700J52ByIdOWHiS7VDpZ7SyVRIa4sv10rhx4skqq0Yjg62K848xYgw8YNizoGBDoItXfjxu3BB349g46v7iFvPJaFILAxE/2EZ1azLtTetHFo/k25Jr65u1yI0PcuKW3N9/sS0FEkiwKSCv0j44Kwd3ekv9tOElxVX2zGXl6URUL/zzL8C5uTdYX9Hlr82lOZZbxwZ19CPGwY+nd/ZjSz5ePdpzj9d9PN+v7LooiH20/R9gr2+QLd+W9A7mw6GbOF1QalMnaYxNRW3Klhig/NkpSlyzf36B8qqlX88wvcby95Qw39fTi3Sm9AKlb09PBku1PjWBoiJs8j/OFG7vx3IRuKI0ou3Ta703Hs3C3t6S8RmVwHns5WvH2Hb3wc5HOye8PptL3ze30em0bvx3PpKunvUEn8T/RkueX1zLzm8Oy0OG1W8JYMCkMR2tz7okI4MALo7G1VKIQJIlyR6RDl1Zaw50D/fBytOLR1THc8XkUK+YOJMzbgfFhXrz460nO5VYQ6mVPepEU5P1aaF03xqIp4TyyKtqghm5lruC7+wYRnVrMnV8dbP7NwB9xUtk12N2W7NIaDraQgfZ9Yzsf3dWbCT28jGbnN/bwlBevbunjg4XSjANJBZxIK+HZCaE8t05SwhjLyEVR5IUNcSgEgUVTwpvN/n87nsmqQ2k8PKKzPN5NaaZg8dRwHK3NWXEghbLqet6dGm7wJXc8vYTbP2/IwKf19+XdKeGyY56xMllksFtb18nbBVfS0GmgtkehvEaFKIrkl9fy8KpoYtNKmDHIn4KKWp5ff5LObtL5WVhRR1RSocFwZDOFIC9WN8eC305xh/ZYVx9KZcWBC7LL4NPjupJXWoOZQpD7PsprVHJZRt8P5lIzcimIHyIpTxIa3Dc0iLlDpdm5KrUod5DGZZQS4mGHrZ7DYkdyQ7zmAzlIpZR1j0Rw77dHmbY0ii/u7s/Y7h68+Cv8FZ8jBXJdM5DLpbXk7k/MZ3wPL4ORbzvO5PH67/EGPhGjQt3ZlZDPvudGodaIjHx/t8F+kvMrDRb8dOhqdyCpYuatiiGisyuv3BJG90bZQ3pxw+3x8bQS7ujrw/6kArafyeWVSWFyIDc20WftkXQOJBXy9h09my29JOVV8L8NJxkY6Nxk/qhCIbBgUndcbM15/69zlNXUs2RmP+rUGm76eJ/Brfuxl8fKNVETF+dKGjrpf2F/tfc8Kw9coKS6jmEhbvxxIos6tYYXburG/cOCqKlXM/GTfTzwvVRlMjcTqFeLFFTU8sXuZKzMzbijnw+rDqU1+Zyaeo3sDPretgQ5OGeWVPO/X09Sq27+S6Dbgq3yzz8fS6e6Xo2rrSXOtuY421gYvSsGSa44a9khErVBfHyYJy9pp2MBqDQi5mYKRFHkSEohag0EvbAZbydrRnVzZ310ZodxQ7wuAjlIk0l+fXQo9648yn0rj/L27T3p4+fE9jO5PDGmC+lFVSgVQrN14eYorqrnSEoRFmYCdXono7797PSBfthZKolKLuRkZimPrpaaI4aGuPLt3EFsPpnFsn0pBu6LOmr0shGAN27rwUfbz3Hzp/uYMcifp8Z1lTXu90QEsOhPqRa/PiZDbsrwcrRCoRCY3M+HDTGZbI7LkmujIJ2k72w5Q2SwKzMHGfeKr65T8+jqaKzMzfhsRj+jF48gCDw+uguONhYs2HjK4AIEWD5nAGO6m4Y0XypX2tBpUKALRy4UyeeObtTg0BBX3rmjFwGukqx0c1y2gQRQZ5T18Y5EzuaU89LE7vg4WxsN5NBgEV3b6Jxu/Lgl1h5Jl0s6OhyslLjaWeJsY46LrSUuttJ6lq7pTsfT40Oprldja2GGIAioNBqUCoHvDl6golav16KkmtWH0posirZnN8TrJpCDFNB+mRfBY6tjeGHDSVlWmF1aTXqxdPtkbAJJS7XpP+Ky6efvRExaSbPbeDhYyYOSdUEcYHJfX6JTiwlwteXdKeG8tPEkJ9JbrgnnldWy65mRfLwjkR8OpbLpRBZPju3KPREBRKcaeqv8fCydUE979icWMO+GYDnT/jU2k/+O60onR2uppLI+Do0o8m4LJZUFv50iMa+C7+4d1GT8VmO6e9kbPB4Z6s6yewagNFMQlVxAXEZpe/Ndadd4O1kbdbO8HIZOGo3IkQuGTgVKM4HFU8OZ2t/X4HxYrJdJ63M2p5yunnbMHRrI+RbULM425i368F8KN4d3YnCQC0WVdRRX1lFYWUdxVR0ZxVXsPVcpS4f10Q11tlAqcLGxoF4tyqqdxjR3f9Be3RCvq0C+dE8y4b6OLJ8zgAW/xbP2iJQ5vPTrKYoq65otqzS30KnjYhmFLog35ulfTrTiqA1ZsiuJJbuS8HGyRqkQKK9R8eYfp3nzj9NNtv1cO+szIbecD/9KkDXq9WqRyEU7+WJmPzYez2RfYgG39vamuKqOqjo1FkoFltp/FkoFm05ksS46g/ljujCia/Odi4UVtdy65ECToJOQU05ueS2phZWyzt1E63l2QqhBjRwkzfMz47v+q/2W19Tz35+ON3l+x1M3GC19tWSN/OZtksQ3oBl7WitzBa/cHMZ//8E535gQDzs2x2WTWljJM+NDuaGru/yFU1xZx4xvDnE2p1zefvHUcHkgRnFlHUWVdeRX1MqyykuhvbohXleBXNcGvmRmX965oycaUeSno+nsPJuHuZnAlGbMngorm3aU6cz1fZys2Tx/OPVqDb1e28bMQQGsOJDSZHuQvJU/uqsPs5Yd5vY+3syOCKRWpaZWpdGWLmKMvs8YuotKd1t8MRrr4EURHtH7vE0nspr4sjTmy91JrDyQgoXSTAr05goszBQozQROZRqWhazNzbitjzcHkwtJLapi6KKdOFqb8+Xd/UwLmJeI7lZ+8bYE+f9dI4LlP7RDAKnp64Hvjsn1Y0D+AjdmgJVdWi33DRhDV5JszqJhwc1h3NHfl1d/P0VFrbpVDXbGsFIq2PbkCDbGZvLRjnPM/fYoAwOdeXZCN7p42DFr2WHZdsDcTOD7+wYTEezaZD+1KjUbYjJ5dkJos3NKGw/QaM9uiNdVINdJ2h747hiDglyIyyjFxdacosr6Jsb4+hRXNs3I+wU4E51aTGZJNRrtokm4jxObTzYfDB8a0Zkz2VLAe2pcqIGPeFTSP9NLZ5ZU8/603ozt7kGfN7bLz98/LIhzueXyKLo5EQH8diILHydrhnR2NZCbLZ4ajpejFbX1GmpVGurUamrrNRRV1ckj72YM8sfBSkmtSqP9J30B7UnIp6KRxYHuzmbn2bwmigN7y47X/tweuL2vD7f39eHD7ef49O9EAlxteGfLGUZ387hkf5sDSQU8ujqG0up6FIIUfKvq1Hx4Z28eXxPLr7GZ3D0kQN5eoxF5+ucTsrzQ2LUyc9khfpkXQSdHa/r4ORmoWgBu6iX1RwS42pGUV051ffN3sWYCNHc5WporMFMITOnvyy29vfnpWDqf/Z1ooA7T6dXfmxpuNIiDpFgBmg3i1uZmTOnvw66z+SbVSnskMtgNfxcbdifk08XDjgWTwrhnxREAfjyazvRB/k38Hoqqms4o7OfvJNeks0qr8XW2obefY4vZ8Vubz9DTx4HunRyaTEjZGt/UX2V0N3eOXSimrEaFTzN10sySap4xcru64kAKNnoX+M6EPMpr6knOV/PSzd2Jzyrl0Pkievs5NfEOB0mOOP/H4ygEWPPgEIZ0NrwgskurmfrlQYMgvufZkfLCmI7dCXnc++1RXGwtKK6qY9pXUXw7d1CzF5iJlgnXGjpN6efLh9vPsWzfeR4f3aXF9+jL6ByslZRVqxCRDK3enRJOdmkN81ZFE+hqSy8fR1ZGXWDWYH+5XLHiQApRyYUsmtyLvefy2XKq6blaUlXPrGWH+fnhCDng68+e1ckKTzZjmKVPCzkVpdUqui/Yyj0RAdw10I+Zg/wZ192TIQv/lrfJL6/llt7e3NHX+B22WiPdiTfGzc6Cwoq6dh+0jXHNNgQ1R1RyATllNdhZmpGYV8H/Nhi6DE7/+iB/NQqqxUaGzdboZRQp2kaDoxeaDnJYMCnMwKDqVGaZrL/WodGIBiPodPT2debhEZIX+uez+rFwcq+L/XqAlJH8/vgweui5uKUXVaPWSJl1sLsd8dpSSE5ptVFL31WHUvn9RBZPjw81COK1KjVvbz5NxMKd8hfLx3f1IWXhxCZBPCq5gMdWxyBqj/+zGX2pV2mYvfxwk7+xidbRS9t5aGepZEIPT77YnUxOC54njS1bS7VBfFK4F78/MYzefk64ase2FVXWMTcykKS8Cnlo8pnsMt7bmsC4ME/uGuhHpZ6TZk8fB+6JCMDeUsmKuQPJKqlm9vIjRGsHmthaKuUhzscuFPHapnj5vc3ZTegT7uvI+DBPevs5GVxD1fVqvtp7ntEf7CH4xS0GQVzH7yeyGPT2Dv4+k0tpdT2iKCKKIn+fyWXiJ/t4o9Ga0vpHIjj28jhSFt3c4Sxs4ToL5Dq3xC9m9WPF3EEIQGZJw0XwxxPDCPVy4OFV0fJABTB0YNORWlTFoCDJLD+loJKo5IImt5OBrjas2J/C2EaSu98b1aJPZJQYdVbs5GglD591sjZnjHYsl75NrTHyy2t5bVM8L9/cnc9nGk4oGxbixosbTlKn1rB4aji5ZbV8tee8wTZxGSW8+ccZRoW684ieuuTvM7mEvryVb7T+5xN7eRH/+gRu7+tjVO1yIr0EZ1tzwjo5MDjIhZvDvfny7v6421vy8KpoWe6mo439xzsEng5WeDpYcjKzlJcmhqFSi7y39Wyz2xvToAPEppXKElJnm4ZAPql3J9zsLFgZlUJNvZonfzyOo405iyb3QhQhRm/q1Ju39cTD3pLyWhXhvo58PXsAyXkVch29qLJOtmV+ZHWMbBoHrVs03PT4ML6+ZwC/PTaUuNcmyM//+mgkD41oedgLSOZ39393jN6v/0XQ/7YQ9L8t3P/dMRJyy5ts62RjYTCg5WJcqU7bf8p1VVpp7Jb41LiufLD9nPz6gt9OseaBwTz183Fe//00aUVVvHxzGBuM/CelFVYya3AAR1KK+Gj7uSayqs5utrxwUzce+iGaDbGZDA5yITathDq1hpSCSp5bd4L3pvYGYFt8LkqFgLW5GZ2cdUR6LwAAIABJREFUrDiXKy1AeTlayR1pTjbmONlY0NVTauG/ObwTm+OaN+M7llrMrUsO0NXTDgcrpdza/GtsJn+fzePlm7tTWFnH4M4ufLU3mbsG+rHpRBb1Kg3L9p/Hzc6CD+/sw6GUQvYk5PNHXLZBaWfbkyMIbSQzbEy4rxPvbk3g/WmhcqAf38OLoSFu3PXVQZbuSaayVsWbt/c0sCQ20TK9fByJyyjB39WG+4cH8eXuZGZHBMiT5/VpjQbdVdsgVlhZh6XSjJmD/PlsVxKPr4khIbeclfcOxNXOkoSccrnbckCAM339nUnQqkMKK+sY0dWdJ8d1kddVAFIKGhZT35/Wm+o6FQt+i29RpgjSGk9z9PV3JtjDjsPnCzmdXcbNvTqx8bhhcmRtbkYnRyuDSUYtMeaDPYDkkOphb4mXoxWe9lZ4OkpfnF4OVtovUSv2n8vnxY2n2lWz0HUVyBtrlx8dFcLB84VEaa02Y9NKeGJtLB/e2RsfpyRWHEghtbDK2K64UFgl3+bqgvizE0KJyyhhW3wugzu7MLa7J0FutqQUVOLhYIWIyLAQN/YnFfDzsQyS8ip4Znwo2+Jz8He14Xx+Jb3sLOVA7u1kxTFtHd7eypyle5IJcrNlz7l8oxnJk2O7NOkO1e1Lxx9x2XTxsOXeoUEcTinks78TqVNpeHfrWXp6O7Bo+zkE4Nt7B3E8vZh5q2IMFiwXTu7F9IF+rbISXbE/BTc7C27pbWgEZmupZP2jkcxedpgfDqWSkFPGycwynhrfxUDRYtKcG6eXjxN/n82jolbFY6NCWBedweu/n2bDI5Gy5YGO1mjQHa3NMVMIFGnVWbOGBPDpziR2nMljTkSAPPXqqN76z+JpUhKikykWlNca7QjWb8rxcbKmtLp1OvIIbTlPv76vo6ymnnuWH+F0dhlv3NaTJTuTcLe35NdHIxFF2Bafw8qoCy0G8U2PD5VN23ycrJk/JoTcslpyymrIK6shp6yGU5llFFbWNqvU0aetm4Wuq9JKY8wUAh/f1cfguT3n8rnt8wPcOdCXV28Ja9FW9l29W9op/Xx5bFSIrCAIdrdDoRBkP+/fT2RRrxb577gu7HpmJAAxaSXcs+IIKQWVclYUq9dY5OVoTWlVHQ5WSswUAuG+jhxIKqSmXsNnfze11T2pNZhadf9gdj8zku6djGfM/i62UuOTKA3X0Ijw2/EseQVfBF7fFM+9K4/JQXxsd0+OvzKOGYP8WxXEUwoq+ftsHrMGB2CpbKqqsFSasfahCMI6OXDkQjE39vTky93n29OEoHZLuK8jogjxmaXYWSp5bkIox9NL+O1E0zvHZyeENpETNpbRKRQCzjaSegvAQq9rd/6YhoXUlzeekn8O1C7W6+rrOonutvhcgwlY+vwel2VggNXi7+jn2KS+r+OWT/dxKrOU96f1Zu2RNIoq61g+ZwC+zjbYWSrJKa256BAKfefNJ0aHcNdAf+aP6cI7d/Ri2ZyB/PHEcI69PJZzb91E1Auj+fXRSJbe3Y+nxzWv3W/LZqHrOpADTU6slyZ2p6pOzR2fR110vJt+0H3lljAA6rSBz1Ip/Wn1FTDu9pb09XMmyM2W3dpgrtKu5h+9UIwA3D8sUN7ezlJJaXU9TtoaZmSwG59Ml754RKQFIz+92Zt/a790PBwsCXSz5c//jCD5nYlNyhV/n82j28t/cvfywwaLtvoWAyf0XAc3PBrJsjkD5ONoDd9FXcDcTGDWEOMt/wCHUwrJKath/ugQ9pwr4Kaentyz/AiPrY4xmPxkwhDdKDKdAmRKP1/CfR1Z9OdZKhtJQW/v68PCyb3wcbKWR7Y1Hiq8MTaTkqp61h5JY+iiv5nz7WH5tS0npfKdfibdybFhMElDRl5HTmkNJ9JLmvQUgGR1++fJ7BbLgW52lgzv4oa3oxUe9lbN1vdTi6r5bEZf/ojL5lRmKZ/N6EuIhx1LdiYy4r1dLD+Qgkrb2Wlu1pB02FiYcUtv7yb7e3VTfLOzRM3/z955h0dRrm38N7vZ9N57BwIhQCCEXgVpIiA2LBQRBUVsx67Hht1Pjxw84kEp0iyIDRCQ3lsIBEIoSUhCeu89O98fszuZyW5CoqAe5b4uLsLu7LBJZp953+e5i1aDr7MNXo7WxKWX8OneVLPHwR8rFvrbF/KWW721RzPY9MhgIn0dWbAuvt3nyTcMK410PKNNq3JbG+puJ299g93t2Pb4UNU5Alxt8XWWVjoOhil9aU0DTjbN3GulV8nd/YJ459YeJu/FQ3ED0moE+oWYUv1qG/XoRXCz02HXilG/raWWVbNj6W2m99oWymsb+Ob4ZSb29MXTwbycX9kTnxTtR7CbLWuOXAZENp3O4Z5+gde0iAuCMFYQhPOCICQLgvCsmeeHC4JQJgjCScOff16zN9NBeDhY4etkLVv8ajQCL0/sRl55ndlh8eRoPw48O9IsI8O46jUuKLJKa0nILOemHj709JeoiHq9qGJ3KTM1jYW8oLKOxbua23ot2yzxGaWUVDe0KpYDyUcovahaZrq0tcI9mlbML2fzeH58V3LKaxn23m7e33YBT0crXG0t0YuSs+ON3aRh6619/Dn9yhj+PS2aCwvH8dy4CPlcdY16+r6xneBnN7H8wCUVCygpp5wnvjrJ0Hd3sexAGjd09eTJGztfcZfze+Nv1SM3B6N9rTHIIDm/krpGPWvn9Kfziz+3+zx7LhQQ5mEvr5KMDBblUCezRH1htrwYMoqrOW7oQ3b2ktoipdUNqlCLzQnNQ531cZlm+5Kns8pUUvqXfzxjcoyTgU9cZEbsBHD0+RtILqj8VSvjr49dpqq+ifsGtT6wSsgs461both6Jpc1RzJo1Iu42uqorm/ioeGh1zQhSBAELfAxMBopm/OYIAg/iqLY0udgnyiKN131N3AVEOXvpOJk9wlyZVIvXz7dm8rtMQEEtOKr3xKtrXpPZJTw1JguPP7VKZbsTWHz6Wa6qNLV08ZSi52llrVHMuRFy7fzBpBbVsfDa9uvVAboG+xKRnE10wzGba319y21GpYfSMPL0YrVh9NJMxT/rj6OHE4pwlqn4a1bosgprWHRzmRu6+PP21N7yD5KlhYaFaX2idGd+cBAenj1p7O8+pP6MrC11HLvgCBmDw7B32BzHeBi+6eyuP3br8iN9rUh7nbMNESVTVi0j0a9Xu5bt4W1hlDj709mcT6vgtLqBuytLDh1uZQmvSgHLoMkHFJu4T41s3oyMmRCDUHG5YoV+cGUQp5QiH8m9fI1q0ybuzpO3hlsSshRfQgBJvX0Je7F0a0aA9nqtHg6Wv+qcIcmvciKg2nEBru2mkZe19iEVhD4xzenWHkonUa9KPV9gWWz+v4eCUGxQLIoiqmiKNYDXwKTrsV/dK3Qw9+ZS4VVqh3lM2Mj0AiY0DrbQmur3pzSWsZH+eBmZ6liodhbWajakXq9SFV9k1xwb+ntR58gV0I9Oh7EbRTY9QyQrpunxnRR9euNMBpi5ZXXUdfQJH/e9l4oINLXke1PDlMV8XcURdyIBsM5gt1sWXBDJy69Nd6EqmuEraUWKwstBRV1cmhKW7ucPwLXC3mx0YfcVl5Bltc2Muy9XRSZEQK1RO8gqe1wJqtcDlOeOyyUqvomLuZXyPRB49Bu1aE0+bW7LxQQ4GKDrxk3QePFqmytHL1UjIBEPQz3tCc5v5JQDzs8Hax4c0qzWKi6vom3NidRWKleFRmVnsXV9YS/oN5t2Oi08vuobmj+YA4Mc+8Qa2R7Uh6ZJTXcp+j1GyGKIj+fzmH0B3t5Y3OSTGWbMySEsZHefHx3798rIcgPUEr7Mg2PtcQAQRBOCYLwsyAIka2dTBCEBwRBOC4IwvGCgoLWDruqiDLcJBMVq3JfZxvmDQtn0+kc+Vq8Elrr6/o622BlocVC0WPu6e9EZV2jvCIvr21gzhfqBLzphvDkEPdfU8iLEYTm7+3GSC+Vi6GyqLvbW3JLtC/5FfUqdfG53HJe/O40i3Ymc3uMOrxECSObKzrQhaq6RpYfSOPNzUlm31dZTQOf7klhyn8OEvr8ZiL/uYW3f06S52F/BvztC3lmSQ1ONjocrXUEutkSYeBGF1Soi/jDI8wXswdXxclfH0ktxs/Zhpt6SAOVY2klMgVq3rAwRnX14ovD6dTUN1FQUUdWaQ1T+/hjbaZH/cPJbE5klBiGnVIht9ZpqWnQM29YGKO7eXEwpYjE7HLGR/lwZ1+1zH7NkQxiFm5XPfb5zL4Asv+KET8/OoTPZ8aQp9gtPPm1qStee7Bs/yX8nG0YbehNGnHqcim3f3qIeWtOyKtAS62G92/ryQsTuvHQiHCTNkpHbyIdgDnaTcsNygkgSBTFnsC/ge9bO5koiv8VRTFGFMUYD4/W3SGvJozFLqGF5P2BoaH4Olnz6k9nZVl8W5gSbTr8M/Z7i6vqyStvviaMyl0PBytSCiqZ/PEBORQZwNvRWrYQaOn/0jPAmcRXx9AWjqeXEOZhj4O1jur6RmYtPyY/193PUVXUnxkbwfcns2lqwQ2sadCz7Ww+d/YN4O1bzBdxgHiDsGnnuXwGvr2T1zaexdfZmqXTY0h9czwX3xjHG1O64+1oLXnLKE5TVd/Ekj2pRL2yhce+jGfz6RyTIfPvjb99Ib9cUq2yr20pnw/3lC7eCG/zlKr9CrOrQ6lF9At1JcjNFhdbnUrBOayLBw8MDaW0uoH1cZcNeaEwKNydtFb4rrf85yBNehFnG0l1tmz/JQaHu9Pdz0n1PvuHurZ6wbrbW7JwcncApi09bPL81seG0tXHkXBPe5r0It19pe/zcGqxib/5lZCYXcaRS8XMHBgsb2WzSmt47Mt4Jn18gEuFVdwQ4YmFVsDDwYovH+wv0zN/Z2QCyjufP6BSlIiiWC6KYqXh682AThCEPw2FxsXOEn8XGxPvEhtLLc+N70pSTjlfHzf1E1HC6ADYEm9O6c7kaD/e3XJO1ZJwNbQaz2SVM3nxAUqrG1h9fz9u6S1tZm6M9Gr1Onx9UqSKrmsO8Rml9PR3pqa+idkrjnPkUjNvvSUT5qn1CW06KL45JarV95KcX8k3cRK/vaymgQGhbmx4aCDfzB3I6G7S96DTari7XxC7nxqOk42FWS65VqNhz4UCHlpzgujXf2H2imN8fewyRZVtUx+vBf4WhXzJnhSTXqtRDn65uFqV09mykCfnS0XWthVmx5Dw5qFJWU0D/UPcEASBXgHOHDVciG52lthaWhAT5EKvAGc+23+Jn8/kEORmS2Vt4xUtPTcmZPPdiSzyK+rkFWov/2ZaY2yIm9zza4koPycV/1eJd6f2kNWZO5Mk6uJ7t/WU/V2mfnKw1SBlc1h+IA1bSy239w2gsq6R97eeZ+T7u9l8JpeHhodxa58Adp7Pp5OnAz/OH9RhNsxVxDGgkyAIIYIgWAJ3Aj8qDxAEwVswcOwEQYhF+qy0r1/xO6GHv5OsHVDiph4+9A124f2t5ylvI+Py0z2pcqq8ki/eN8SVuPQSvjx2mdmDQxjXXdpdGa/ndUczCHSz5adHBtM/1I2zhmQrpRVFy7bD+rhMvjiUbmJIB6giC7t423PHfw9xyExrKFwRTP7KxG54O5pnRPk6W5sUcVEUOZZWzP0rjzPqgz3y4x/d2Ysl9/Zp9Vq01mkprzG/2q6pb+LYC6NYN6c/d/cL5FxuBU9/m0DfN7Zz+6eH+GxfKpeLq38XOf/fopAbfchNxCZ+TmSW1BDgaisX+2JFX/yefs0caKWfhbOCDrj7gvoGYdz+KeXS84ZLxVcQBB4YGkp6UTX7LhYyJtKbo2nFWGgEE+qSknJ4KrOMZzecJtLXkUGGG4fyQq1paOKez45gDrvOt96zvb1vgHxD256Uh5+zDRHeDjyhCCz46gqrOiMKKur48WQ2U6L92Hw6h+Hv7WbxrmTGdvdm84IhZBRXs2RPCjf39JXtTv8oiKLYCMwHtgJJwNeiKCYKgjBXEIS5hsNuBc4IgnAKWATcKbaVLvwHIMrPmYziakpbuHMKgsDLEyMprq7n362EmlwqrJKZGnOHhTE+qrkVFpdewkvfn8Hb0ZpHb+gk29aeNVgwxwa7sn7uQJkxZQxx6OTVXGjf+lndb/7iUDojunjw2YwYk/fSqFiEvLn5XKtzkWSFd/rMQSF0MyN4s9FpeHpMM7WwSS+y5UwOt3xykNuWHCIuvZj5I8Ll58M87E3O0RJK1pgSvs42WGg1DAhz4+WJkex/ZgQbHxnM/BHhlNc0sHBTEkPe3cXjX52URU1GOf/VLuZ/C/qhcXD20OoTDAx350ByIR/f1ZtwT3vqGvUEuNgQ5mnP/LXxqiK96XSzeOG8Qure0n9biRe/P8Pqw+mqIdKeC5KncZinvWqLtiMpjxQDPbHlOe8fHKLygQFIzC5na2IeVhYaVf9z0Ns75a+N/urm8NSNnXlvm3ROd3tLDiYXMn9dPB/c1pMPf7kgqzatLCT++L2fH+W5DaeZ1MsXW8u2L5W1RzKob9LzTVym1J8PcuGzGTF4OljxwKrjJGaX88zYCOYOC22XMvRaw9Au2dzisSWKrxcDi3/v99URGAfop7PKGNJJ3Zvv7ufE7X0CWH4gjWmxgYQqCpYoisw1zHY8HKx4YnRnSmuabwZPrU+gvlHPx3f1xtZSy/YktTPnqvtjZbWusgiXVjfg42TDxoRslh9II8LbQZXUs2haNK/8aJpkpQy3MOLju3qrBvXejta8dFM3+bHcsloOtli1+zpb8/SYCCZH+1Hb0MT6uEw+33+JS4VVBLra8tqkSG7t48/l4hoW75KU0a0FNxt/Tot2JFNS3SDHQhphjjcuCALd/Zzo7ufEEzd2Ia2wipsX75d9joy4FnL+v0UhB6mYd/Kyl5Vq939xTFY1bjubx1wPexZOjuShNc0ioFv7+HM6S/LtVqJPkIuqf9cS53IrVBfwvouFJgNGQC7iAJ+0yA5sWcSNmLs6zuzjRrRWxAG5iAMUVtbz8NoTfHx3b6rqpJAIZVtpSCcP2QP9mW9P8+9prZtZJWaX8eF26dxejlY8N64r47p7cyJDMu6qbWjis+nXg5evNrr7GgaemaaFHOAfY7qw6XQOb2xKkgfd0EyVBYk+a2mhkR0QQWqLDOnkzvgob1YdTjc5r9Jy4ajic1BYWUdyfiXPrE+gd6AzCydHMX7RPgCW3NOb+IxSvj2RaXK+lvBztlEV8RkDgvjHmC44WOt4eK302GsbE1Wq5NQ3x6PRCJRU1bNox0VWHkyjqKqeHv5OfHxXb8Z295b7/QmZzYpscxm9INETn99wmm/iMrmltx8DQ934cPvFDvHGg9xsTYq4EVdbzv+3KeQHUwpJzq/k5p6+bE3MxVKrkS+E1gqt0a61JRKzy5neP4jVR9Lp6e/M65O7c9O/98vPKw31AY69MIpjaUU89U0CPQOcZZMuJZQOhQDbHh/KmsPprDzU/EGaMSBI9e/2IDrAmfgW9rrG1cW9/YMYGObOM+sTcLC2kG15jfju4YHEvrGDn05l8+y4CBPxUVFlnRwCDZK97mczYrCy0PL1scu8+P0ZfJytWTenH5282nZKvI6Ow8lWR7Cbrdk+OUir7UdGhvPWz+fYc6GAYZ09KKtu4PGvJC3CyxO7yb8XnVaDk41O5qX/86ZuLN2XypubpZbiZ9NjuN9ANUwtqJRX+FsVvvKXi2t4feNZrHRaFk2Llh0BAeatPoFGI7SZ/mOEUgR0R0wAr07qbnKMUhsxb3gYWaU1fLYvla+PZ1LT0MSILh48MDSM/qGuJjtA5YBYKeE3oqK2gYfWnGDfxUIW3NCJx0d1QhAEbjUTwNIavjh4Sf7ZmcPVlvP/LXrkxp74x3f3ZtG0aJbP6ouFRkOUwdzHXNBsW6isa+SLw+noRYi/XKoq4mAaxqzTCoyP8sXN3spsEQfo5uuoYnB09nLAqwW/3NwAqLUwZBdbHQtGhps4wNlZarG3smDByHBWH8ngwMVCdpzLY3gXT5NtpqeDtTxcVbZvahuaWLInheHv7WatIcDa3d6SL+6LRSsIvPbTWZ7+NoHYEFd+eHjQ9SJ+DRHl79xm6s7MQcEEudny+sazNDTpZd63p4OVLIAzQikuenjtCbkQ6bQCIyM88Tf4+nxhWEyIosi2s3myU+Hz353mYn4lH93Zi2X701SLIxGpX93RIcOjo1pPPzKKjj7ZncKw93ax9mgGE3r4sO3xoSyfJaVQmWvjKXvwLVfkOWU13LbkEIdSinh3ag+eGN25Q61AUZTsDP7541lqW+GZXws5/9+ikLf0IR8Y5s7iu6MREPB0sOLYCzfQL9S1zXP0C2n7+bbQ67VfuG/FsTaTXI5eKsayxergkKHo32vITzSKGF6c0FU+Zu8F9TDznn6BuNpZ8vHdvXnixi6y3NmIBr3Iknv7yOrJeWviKKysZ1RXT7PvS3nB7TqXz8aEbEZ9sIe3fz5HbIirTG18YnQXymsambXiGMsOXGLWoGBWzOrbIaOt6+g4ovwcySqtaZXyZmWh5cUJ3UjOr2T+2hNyFOHGBYNVBaol6+lCXiVPjelCuKc9g8Pd0WgEeb7zzfHLVNQ2cDqrjJyyWqYqFiCPj+pMVkkNyw5cws7KlOnV0dBl5cq15axZaX8xZ2go+54eyfu39ZTtLcyhoUnP2ZxyHKykZoRy8XI2u5wpHx8ks6SG5bP6cnvf9q/AATJLqpmx/BjrjrZOEDBnWnY1cFUK+ZUMiP5ozB0WZlZsYmdlQYCrLcVV9cSnl9I70Jm0tyew9bGhJudo6Uv+4oSuZrdlrWHnuXyVoKEl9KKUGWpEfkWtvKJZdThdzkEEKfuzNfi72so3rbzyWhMTpfpGvezxMjDMnRFdPNEIMLyz+UKu1Qh8/eAAAGatOMb8tfHYW1mwenY/Pp/Zl70XCnC21RHl58Skj/dzOFVaybw8MRKLNgZJ13F1EOUn0fnaWpWP6upJ/1BXthriBP91Ry8TM7PlLcysPBysuLtfIMn5lfQJckEURQoq6+gf6kpVvTRI3JqYi1YjqLxX+ga78uL3Zxja2YPquvYn7piD0sxNFEVeVkTFKbHnqeE8N64r3mYU0i1xIa+C+ka9THk0fq72XiiQA5y/mTvA7MyhNej1IqsOpzPmw72yV5I5CHDN5Py/+ZOmMCAaB3QDpgmC0O23nvf3wOWSagJcbPj3zmQa9XremSo5Cf7YwtfZ0doCL0d1+2XhpiRVDFrPq+CbrVytxL6hziG8p38Qc4a0bkIF0t3eeNNKzC6j35vN59j1j+GyoGP+2nhqDUZJSbnl9A91w6kVilVmSTWrFQMva52GTQuGcCa7jB/is9iamIu3ozXTlh6muKqeO2ICOrySuY5fD6P3d2t9cpDYFEZzODBNsckpq1H1cwNcbXCzs5Rj3foEuVJe00h9o55RXb2IDnRm5cE0fj6TSxcvB7kXrhGaRWcjIzywt/5tI7jb+0or/bKaBkKe2yy3dIyYFhuIg7UFge00CIPmn1M3X2Mh1/D1scvct+IY/i42fPfwQBWv/UpIK6xi2tLDvPT9GaIDXdj62NBWPdevpc3t1Vgy/U8ZEBn54o1NenLKamkS4YtDaUT5O9PJy4Gjl4r5z+4U7ogJ4AmDifzEnr58+cAAk3Mt2tkc7tBTIXToZrgQzDkT/lqsOJjW6vDViKzSGpr0Ij+czGLCInXfPsTdTvYlzyqt4aMdF0kvquJCXqVJpihIA593tpxj5P/tYWtiLjMGSO2d2gY9VfVSRuMz30rqunO5FbjbW6IRBMb38DE513VcOzhY6wj1sDOR6itxJqtMNUA8l9uskqxtaGLAWztVx0/p5ceFvAr2XihEqxHoGeBEQaXUFvQw9NbTiqpJLajibE45OWXSuY0LkUa9yCs/npW9dH4t7ugbyMKNZ+n56jaT5waEupFZUk2Iu12HetgJWWU4WlvgY1i9L9p5kae/TWBAmFuH9A1NepHP9qUy9qO9nM0p552pUayaHUtaURVl1fUmHhDX2ub2ahTydhkQ/RHGQuZgFAdtSsihSS/y06ls9CI8ODSE8toGHv/qJIGutvxzYjf6GAyxjqeVoLxWUt4cryrcgGq1YBROdPF24CGDGOj2mGsnRd/w0ED567DnN/Pol2qfFKN/zMAwd+42iJw+2Z0iC0KUhbyxSc+aI+kMf283n+xO4aYoH3b9YzivTupOjOHnMejtnUR4O8rDHJ1GoKymgf/c0/t6EMQfgB5+5hWeILUkjMP4t26JwslGx+sbzyKKIrlltUS8tAUAQZBCVQBCPezRi9LiIdLXEVtLC/INniseDlaM666+WTv8xpW3EdNi1Tu5CYv289n+S/L/q/wM5pXXcqmwimC3jplznc4so4e/s8xY+3z/JW7r48+ymX1xsDa/K22Ji3kVTP3kIAs3JTE43J1fHh/GHX0D2XAii1nLjxHqYc8rN3eTF3I2Oq3ZMI+rqfa8GoW8PQZEf4ixkDkYxUEv/dAsW5/a24/xUb688kMiueW1fHhHL+ysLOSUH2XqtiBIfeOl9/ZR2dwuV/B0jdh5Ll9Wo3XyND+AWTU7tl12uW2hra2ljU4rsw0Anh0XIQ96fjiZTYi7HYGG2K49FwoYv2gfL3x3hjAPe36cP4gP7uglbwmNO5SK2kZ6v/6LfM4GvShTGa/j90eUv7OcNdkSRt2Bk42OabGBPD6qEweSi3h7yznG/GuvfFzSa2Nxd5CuQ6X3kHExU2AYpno6WGFpoS4bZa1I2AFuM+OlM6mXqVEXmPr1G0VvsweH0D/UDRudlumGneGloiqySms65LJY19jEudxygtxsZd3Dozd04t1be7QpDDKioUnP4p0XmbBoP+lFVXx0Zy+WTo/By9GKj3cl8+Q3p+gX6so3cwcwY2AIB54dyeBwdzp7O5gJ80i4qmrPq1HIr2hA9GfDwDB32W4TJCe1n05lsyFumoyGAAAgAElEQVQ+i/kjwmXfBaVcP61ImpAbpfOejtY8rsjvGxHhyY3dTFsU285KA6Y3DBaZH97RU/X8vZ8fbZddblto6XJoxC3Rfui0gqo352CtY/Hdzb7LlwqrOJ9bwfRlR5mx7Ch1jXqW3NObrx7sTw9/9a5jYLg7d5jpf3f3c2T1kYxr5R1+HVeAUuGpxLnccnnAefSFGwApWBkknxUj3XDlfbFY67S42km9XSU5xFjIm1fk1izaYV6s1hJWFhoutFBtjurq1aorozktx/2DQ7g9JoCNCdnMGBgsOzCKovSnI4X8XE4FDU0ia45kyI89ZuCIXwmJ2WVMWnyA97ddYHSkF788MYxJvfxo0ou88P0Z3tt6ninRfiyfGata2Qe52apM8fLKa/nnD2eoaVATH4xqz1+Lq7Enkg2IgCwkA6K7rsJ5rxkOphSy4mCa/O/HvjrJmawyegU4M39ksw+DspAbXeKUHihWipXJj6eyTabm6+b0x97KgomLm/vVRjFGe+Fqq2PxXb1Jyi3nrc3n5Eiu9sAYUvH18csMDHOji7cjga62DOvsgaWFRjY2GvOvvdjqNLw4oSv3DpDCks0l2H8bl8l3LVYNGgE+ubsPl0uqr+ds/kHo5uOIRpBotkb1bJNeZOy/JFXl4ruisbLQUt+o57WNaubHuO7eDDNoEYw7Q+XCwljINxgUmeb61a2hoUnPqRZitOhAZxMVc2uYNSiYFyZ05aE1J7CztOCBIaH80sIuILgDhfzLY80FvFeAM4nZZVcs4nWNTfx7RzJL9qTgbGvJknv6MNZgIlZd38iCdfFsT8rnoeFhPDWmi8n5QtztKKtpYM2RdLafzWPPhYJWKZi/Re35mwu5KIqNgiAYDYi0wDJRFM3zhP4EOJhSyMNrTmBvZYG3kzXejtayFe2Hd/RSbbGKDWZEHg5WrDfYXioLuVKmv2BdPGEtUlHCPO3wdLCmi5cD5/MquG9QCFY6TbsvZIBHR3UGAT7elcLKWbHc/bl5c6yWsLPUUlUvMVNqG/TMXS1Jnm10WoLcbE3c6Sx1Wrr5OspF3FiUQSoKb/+cxNJ9lwhwseGyYgs8uJM7Aa62BBhojwmZZdcL+e8MOysLwjzsOaNYkT+yTvp9W2oF3tp8jkfWxqPTaqhv0mNvZSF7+3RVGE8ZWU3KBYxWEHjx+9MkKSwn2gtzBUv5f18JE3v6cjannJ/P5LLghk642Fni2KIfH9LOHvmu8/kyv3vrY0PZcCJTNfQ1h/iMEp5en8DF/Eqm9vbnpZu6yrqIwso6Zq88zunMUl6f3F3WehghiiKns8pYZujxv/CdZELm4WCl8nhX4rewWq7KlMKcAdGfFQmZZUzq5ceKg2l8PiWGY2klciEPdlP3mkuq6rHWaQh2s+VYmkTFcrRujl375WwubnaW8gpG6Z0CUgjywZRC0oulx611GpXXhHJV3BryK2qpaWhi8V3RZmOvzEGnEUh8bSxfH7vM099KobnTYgPpFeDEe1svqHxgjCitbmD6sqP0D3HjbE65vLIuq2lgwbp49lwooH+oq8p3RgBOXS7jYEohA8Pc5T/X8fsjyt+JfRcL5QJilLBrNILMWDHqGJSF9KMdyQS62jE52s9sIT95uZR1R9rngGkOo7p6st1gkQyY5YLPGhTM8gNpJo/f8p+DWFtosLYQmD1Yot62HEi2RptV4qn1p/jmuPS5s9AIJOWU09AkotOY/zzV1Dfxf9vOs+zAJbwcrVk+qy8jujTrLNIKq5ix/Kik07inDzdGNjtH5lfU8n18FuvjMmUBH0gReD38nHjlp7NE+TlyMb9S5RXzW1ktfxuvFSPu7hfI8Pd20y/EFV9nG5btbzbn2ZqYJ2+bQDKgcrOzYmx3b7mQO9noOJhcyLw1JyiraWRabCDrjmaoCroRn+5NZfHOZPkX9p8WK/GJPXz41oyxvxL/2Z1Cwss3kltWy+gP97Z5rBGOhl2D8YMb4e3AuqMZrDuqPu6tW6L4v23nKayU3ndjk8j+5EIeGSml9aQUVDJn5XEyiqt5akwXVrQQjUzs6cudsQHXV+F/AvTwc2LDiSzSi6q5efEBQLJbLq1p3UQNpN3WY1+d5JWfEmVxjLJX+8Cqtk3argRlEVdidDcvfjHMj5LNuB8aYWRG9Xx1G+72lgztpL7OkvMr0Go0WGgELLQCv5zN5ZPdqeSW1eLtZI2zjQVJuc3nb9SLPLfhNH2CnNGaEfQdTi3imW8TSC+q5q5+gTw3LkJ184jPKGH2SsnmYO2c/vQOdKG+Uc+OpDzWx2Wy+0IBTXqR6EBn3pjSnRu7eRP75nb2XSxkw4ksRnfz4uO7erP5dM5VDW/+2xXyJXtSKKqqZ8mYLjz25UkcbXRsXjCY6cuO8vrGswzr7IGNQVFWUl2Pi52OGQOCeX2jNKzcdDpHZW+7zuA1Ym5geaUQ3CsVcZAGOlGvmO9Ljuvuzc9nck0eL6qqJ6OoWu65Bbjaqlbh02ID+S4+k5ggFyJ9nVRxXXOHhbLmSAa2lloW7bgICCy+K5p/bb9IQWXL+Ltwung7XC/ifwJEGQbTw9/fDUgxemVXKOJK3NzTlya9ehB4LWEs4mB+yGkOhZX1bIhX8yhGfdD64ianrJYcM6zMmoYmTmSUqqyZK+saeefnc6w6nE6gqy1r5/Qzua63n81j/roTeDpYs/K+WKrqGnnlx0R+OJlFSXUDng5WzBkSyq19/FUhGKIo+fXfEOHJx3f1xtJCw+Rov6uq8Pxbaahzymr4bN8lbu7py5YzuZzPq+C923rg6WjNKzdHklVawycKSXtxVT0utpYmUvPY4ObQiH/e9OtErLf18SfAxYZWXDTbRHSgM+/f1pO7+wWppPtKDH1vl7wD2HUunynRfrJfzLqjGdQ26Bm/aB9HLhXho0haKa6qZ1x3b97Zcp66Bj0vTIjgX9svcqmwisHhzRf2mEgvOV3ofxFXspUQJCwyPJ8gCIL5iPU/Cbq1UCPueHJYh3quMcGuvDElSlYo21lqubNvAA5WFib87vYiwNWGyS2ohlN7++NkoyPptbG/6pwt8fiozswYEMRNPXxU5IMrobq+Sf7s7LlQwJgP97L6SDqzB4ew5bEhJkV8zZF0Hlh1HDc7Kyb08GHe6jhu+vd+1h7JYGC4Oytm9eXgsyN5dlyEqoh/pRiw/uee3ibUzauFv9WK/INtFxBFGBjmxrMbTjN9QJDc++of6sbNPX1ZsieFW3v7E+hmS0l1PUGGvrmLrY6S6gamRPux50IBXo5WRPk5cd/gEE5klLAxIYdRXb1MTPhbwzdxmQhI1L3TWW0PXZSw1mnILavlH9+Ysl/CPOxM+vQgBUevOpzB/93WQzWgHdLJgzenRPH9ySx2ncvnyKVivjb0ErUamNDdh9WHM7hUWMWn9/ZR2ZI+MrJ1V7o/OxS2EqOR6LPHBEH4URRFZerBOKCT4U8/4BPD339KVNc3972fGN2ZAFdbnhrThec2nKamoXXPExudBlc7S97anERtfZO8c2vUS4HDFXWN7UrRMYefHx3KSgU7DKTWRFcfhw7tFtqCkQ/eUdjotFTVN/LUN6f4Ji6TMA871s8dKLN0jBBFkbd/Psene1MBifP9ye4UegZI9tUTe/i0agz39fHLPGv4zNhaalU+7lcbf5tCnpRTzvoTmUzt7c+H2y8Q7mnPc+MkJduSPSn08Hfi+fFd2Z6Ux2sbz3Lf4GByymoZ0cWSgymF8oBIAO4bFMz72y5QUlXIzGVH2W1oTbS3iBshAlUtjIX6BLlgo9OqQp2V+OXxYfg52zD4nZ1y3qIR5oq4k42FpF6LCeCp9adVz53PraCitoG5w8IkGtp7u+XnZgwI5kByEWlFVSyb2ZeS6npyDP/fiC4edPf77d4yfyBkWwkAQRCMthLKQj4J+MIQ73ZYEARnQRB8RFHMMT3dHwtRFFnwZXMgijFa0Lh1N/ZirQzDdQ9HK/LL6+TerK+zDbd/eojnvzst01vrGvV8Z2j9tTRpO/nP0cQs3H5FKmz3l7eaPJZaWEVqYRX939ph5hUdx7/u6IWTrQ4nGx3TPz9qlhEjoFYo2ui0NDbpqWkQ2RCfxcMjwnhkZCesdepCm5BZKs8bQGL13NbHn6l9/Nt0WAQpo/SZbxMYHO5OvxBX3t92gdLq+mvmBvq3KeRv/XwOBysLcspqKK6q5/MZfeVeuFG2v/iuaOaPDOfdLefZf7GA+kY9Kw6mceRSkZxbuEHBo65v0stFvC3MHhzMzIEhDHl3FyClpbjbW3E8vYSvj6kZAXHpJa1uER2sLPB3sWHZgTSyy2p5YXxXtibmcryNtPuymkYEpGDk2GBXCivrsNAIvDYpkg+3X2TqJwd5Y0qUCSVy2YE0dBqBFffFMijcnVv+03xBz/8fXo0bYM5WouVquzXrCZNCLgjCA8ADAIGBgS2fvub4+vhlDiQ3e9XnldfibwgUV/Zis0trGP3BHiK8HTn8XF8V59lGpzERqbT01TfirqVHOqRnuJqw0WlVO4zxUT5YWmj44lCa2SJuo9MytY8fu85JcYteTtb4OFrLYSs/PDxItSgpqqzjh5PZrDiYRkZxs+PpspkxDO3k0S5Hz+/iM3lq/SkGhbmzdHqMbDWdVlRNr2tUyP8WPfJ9FwvYe6EAX2cbDiQX8cToLqpfnlG2P2/1CT4wxKEpTeFb470unR6DvVXzvdBCI/D6pEiT4+aP6KSSyY/q6kVMsCtzh4XRN9jVpG/W2geooq6Rz/df4q3NSYzu5kVNQ5NJEe8X6mpCUxSRhDvhhnDcqb39uatfEBvmDaSirpFH1sXLHs2dFQG6OgsNgiBR0E5kSBf+oHA3k+3n/yDaYyvRLusJ+GPtJy4VVvHMt9JOK9Lg6HemFQMtX2cbnryxC3suFPBTgvp+VNvQNg1WCR8na9kK+UroqA9LazMfaPbyViK/opaPtl/knz9ItMZ5w8Lwc7ZBUBy/cHIU+58ZwUfToqlv1HMmW/r5hHnY0d3PiYYmPb+czePBVcfp/9YOXtt4Vi7iL07oStrbExgZ4dWuIv7DySye/PoUA0LdWDo9BmudVlafpheZ7pivFv7yhVyvF3lz8zkEQTKijw1x5YGhoSbHDQxzZ3IvXxr1ouoT/NGdvdj39Ej8nG0Y3qX5Q+pkY8HT60/x7Lhm7qebvSVTept6Szy1/pTKR8J4QeSV1/JdfFaHDLUWbkqiUS/yy9k82fQKpGTzFbP6kpRdrrppyD8HUQpIBphtsMPNr6hTybFHRHhSUNEsVvBxsubk5VKVV/X8Ef/zq3Fon63En956oqFJz6OKloqUfCW0mkIPMGNgMD38nXjtp0TKqpv71O0djB56biRLp8fQK8C0tdZSJKnTCh12QGxtpf/02C5mvbzvX3lc7pOvmh3LM+MiOPDsSC69PUE+Pq+8lgdWxbFgXTwBLjZsfGQIN0R4klFczcKNZxnw1g7mfHGcuPQSBhkG+naWWlbeF8v9Q0xrRWv48VQ2j391kn4hbqodf4CrLYIg3XSvFf7yhfy7+CyScsoRRUlS/8HtPc0Grh5MKeSnhBy8HK3QaARsdNKPRm+odCXV9YR52NPXwFgpq2nEykKjok7lldexdG+qymg/xN2O7Un5cggtSEIjgGX7L9Go1zPHzMXSEY9lgLiMYmYuP0Z5bSNZpTXy+3dvYcilEaCwoo7tZ/O4+7PDBLnZsu3xocSGuPLjqWx5oAtSz724sp4fTkr1KybIhf5XSFL6H4FsKyEIgiWSrcSPLY75EZhuYK/0B8r+bP3xxTuT5aK9aFq0pCL2dmgzZEKrEXhzShQl1Q28vaW59/3UmC5Y60zLQcsun6O1jhd/OMOh1GK6+aj7xH0C1d48Da2Ec665v+Mz47xW0rWMw9nPpseYhEGIosg3xy8z+oM97L1QwPPjI/h8Zl8Opxax41w+DU0iKw+lERPkymfTY1h0ZzQn0kvwcLDiqwcHyNYF7cHGBKmI9w125fOZMXIRB7DWafF1sjEJp7ma+EsX8toGSaFlxOuTu8u9QyWUkvQ5Q0Jp0ouyvPiT3SnUNTZRXd+Ei62OTobWw+Bwd3LL69iamIe7vaVsFfvRjovkK1a1swYFM6qrl2plcjKz1OC/kMH4KB92KEQTRpl/RnE1A8Pc2v29KsOHGpr0cr+zsKoeOyutfC69CHO+OM6cL47T2cuBb+cNxNXOUr65GH9uxhxGo40owCM3tM9g6M8OURQbAaOtRBLwtSiKiYIgzBUEYa7hsM1AKpAMLAUe+kPebCuISy/hox0XASn0eqLBB76HvxMJmWUmsWhKdPdz4r5Bwaw7epmjBhbT5Gg/EyaSi62OXf8YoXqs7xvbWXskg3nDw7i5l3TD3/7EUELc7TiervZVaQ3KXV978eWxy3wfn0V5rSnb5cM7ejKqhWGdMXbtqfUJhHva89SYLsRnlDLgrR0qdemR50ex5N4+1DXqmbn8GB4OVmyYN7BDw/zNp3N49MuT9Al0YdnMvip+uhFBbray8d61wF+6kC87cElmdkzs6duqfaYy03N8lPSBsDXcUS/kVbLFILoprqpnU4L09Q1dPWU+eWFlPTaGUOOIFtPs05llPD8+QvVYfEYpa46kU1nXSGFlHa9tbCZLzBzUnAJkrlf+2qRI2e1OiSGd3Pnygf68d2sPE4+Luga9KvS5qr4JZ1sdjxmCbe9eeoTLJdU8Pz6CkRGebEnMVQ16QKJJtlTV/S9DFMXNoih2FkUxTBTFNwyPLRFFcYnha1EUxYcNz0eJonj8j33Hag9rYywZwMLJ3eUbbJSfM2U1DapEIHN4fHRn/JxteP6709Q1SsPDlv3s7x8eRFyLGYyRf93Z0579Fwvp7GVPuKeDvItrD1pjZLWFukY97209b5JRq9MKTIlubk0qY9f2XijAWqeRWiibkjh6qZjpA4LZvGAIsSGu9AtxxdXOks/2pTJ/3Ql6+Dvx7byBBHRgN7zlTC4L1sUTHeDMsll9sbMyPxMIdrdTuSBebfxlC3lxVT2f7JKYGD5O1iyc1L3V1aQy09PX2YY+QS6UGPqH3o7WclBDcVU9n9zTm06e9mxLzGN0t2Y5f3xGKZV1jXxxf6zq3KcyS00+DEdSi+Sh6uHUYjwcmtsf7yrUoC1f52yrI72oioTMMhM73AlRPkQHOstDyeFdPOSevjnr2ZLqBh5cFUfMwu2cz6vgydGdWbInlfuHhLB4Wm/Zf9oIByvdX2I1/r8KycP6tOxhbbSCnRDlLVu7QrOlbUJW26tjW0sLFk7uTnJ+JZ/ukTjSxoGhEeuOXjZrrdqoF3lv63mOphUzpJMH8RklfLwr2eS41mA0oOsosktrmL82XvXYWEXIRVphFeMX7eOl78/IhnGNTSLRgS78994+HHruBl66qRvdfB1p0otoNQKv/XSWhZuSGBvpzer7+3WIHrgtMZf5a6UbwIr7YlXEh5YIdrOlpLpBNZe4mvjLFvJFOy5SUdeIIMD/3d6zXeY6RtykiCt7TcFCuT0mgIFh7ozu5sXRtGK+On6Zbj6O7P7HcPmYb+OyVKHMF/IqWd1C9nzkUrE81Pm/23qyQLGlrWjDGe7x0Z1Ztj+Nrj4OKhdGgGc3nKbLi1tYdzSDh4aH8fmMvjxg6L0rWSbKr5U9zE/2pMq7kgk9fFh1n/qGdCi1SF5RHEwpNAl1vo5ri/e2njcr7InPUBfszl4OWGo1bWZ4GjEiwpMJPXxYvCuZTxW/z6XTY7iltx/L9l9SRcQpkV1WS32jnmA3W+5feRwvR2sOPTeyg99Vx9CyWdQ32IU8w/u4+7PDDH9/t9wzj/B24KWbunH4+RtYOj2GGyO9VeywqrpGDqYUsezAJWYODGbxXb1NeORtYfvZPB5ee4Lufk6svEIRB+Sb7bVqr/wlC3laYZUcGDxnSGiHvUCM7RWQzH2MMBbf0d0kc/zk/ErGRHoT7G7HSkPhe2fLOZMhj9GTecUsdYrQj/MHMbWPvyy0uRJe/iERQYBQdzuVr7muxfD23gFBaDUCfQ2S/Ce+lo7tF+LKt/MGcuyFUSbnvqdfoOrnZM78/+lvEzhwUZonmGvvXMe1Q2te1dlltaw9ksHZ7HIam/RYWmjo6tP2wFOJlyd2o75Rz1uGnaC9lQWju3nxzNgILMyYShlhbyUVvSV7UmkSRVbM6ms279IcseBqIb+ijqNpxXR+8WeZRz+uuzcbHxnMlseGMntwCO72pkHIpdX1csF/cUJXXp7YrUPvc+e5POatiaObrxNfzI5tV0SckYJ4vZB3AO9ulQIYIrwdePLGzld+QQt4KbxHBEGQ0+v/a5Dp9lQk54zpLhX62GBTNsfUFlTErYlqgyujOmznueZhp7ONDnsrC+YpAh1+nD9I/nrO0FCi/J35h+L7atCLeDpYMaSTO/ZWFty0aD+HUorIbXGDWDojhsLKOu7+7LBKdBTibmeS8PO5YcipPO7opWLmrDour9yvr8x/P7RGD9QI8Px3pxm/aB89Xt3GHZ8e4lRmGQfN/P7NoSUf/IvZ0oLEy9GaEV3MszZsdFr5dVmlNfQNduXZb08T/Owmk2NbSwO6GlCyQMZHeXNh4Tg+uadPm4PKzJJqbl3SPF+4f0hoh1qGu87nM3fVCbr6OPLFfbGyrfWVYGShpRVeG+bKX07ZGZdewubTuVhaaFg0Lfo3+xucz62Q+2b7kwuJSy9RtSeM4a82llp8nKxVq2ul9zggG9sbMX9tPK52OpUz4bEXR7E1MZdHFL1AN8WqIjrAhbHdvU1uCtseH4qzrSXJ+ZU8uOo405YeVj1v9D6/a+lhMoqreWh4GB9ul1gPlwqrGNXVk/lr4ll8dzS+TjbsMNxcXp4YyZoj6SRmS34wtQ1NBLjYmoRPXMe1heSbkqBSX9rotLw5pTu9g1w4ebmU+IxSWbEI0P+tHfg4WRMd6EyvAGd6BbgQ5eckU+P0ihQhIx5afYJnx0nD+dYsaGsamlRtHqWT4R+B7U8MJbyVTFwlErPLmLX8mPzeJ/TwucIr1NhzoYAHV8XR2dueVff1M2lvtgWJgmh9zURBf4lCbvRKGRDqxluGbMw7+waw81z+FT0RWoOlIU1lY0K2zB7xcrTi5R/PsHp2Mw/2UEoRIyIk461AV1tyympVXsttoaU3S5CrLf/dm8quc/lYWWiY2NOXb09kMtQg7Qd4aE0ch5+/gQcVPtHPjouQbzYS1SpCDt01QlnEn7yxsywO2rxgCD+eymbJnhRGRnhy6nIp2ww5j5ZaDTuS8kjMLsfOSoubnSUZxTXc8p8DNIlcj3X7HTE52o/9yYXyoNCvhYd1kJsdkwx0wPiMEqb85yC9ApwJcLXl5OUSOWhCqxGI8HYgOtCZ705kyUNBI3LLa3nm2wQsNEKrCmMlPB2sGBnhyZcKq4lgN1t2Pjmc0Oc7njXjbm9FYWX76In+LjZkltS0yldXYt/FAuatPoGjtQXfzhvInC+Om7Qkr/T6OV8cJ9zDntWz+3Vo5mZEkJsdl663VlqH0Stl0Y5kjqeXEOXnyMZTOb+pj2sMD9mUkENJVT0+Tta8MKEbZ7LKVUV029nmlbHR0W1ClA8zBwarztca9VGJrNIaknLKOZ5ewju39uC923rSJ8iFJr1IjGEXoBdh5Pt7VK/zVrSCfjiZxSPrTtDFy4EZA9TxU8Yi/p9dKRRXNTCkkzvdfB15ZmwXHh4Rxs5z+ZzJKpfzTOub9Ow4l4+tpZal02PY89QIIrwdKKisZ1gnj+tF/HdEfkUtWxNzGRjmxqW3xptVORrR3c8JKwsNMUEu/HtaNPueHsnxF0fx2fQY5g0Lw8XWktWHM0yKuBF1jfpWn1Mi9c3xHHx2pGpA3y/ElbKaBjQaAd8WGbZK+X3fVmwe7jTDsGoNtxi+/yu1kL6Ny2TW8mP4u9iw4aFBdPZyoLFJRNtKQlBLHEgu5P6VxwnzsGdNB5ktSgS7210zUdBfopAPDHPnozt78dGOC1hZaLhcXMPiu3/9arGmvonaBj0BrjakFlZxKLUIJxsdE3v40C/ElSOXirG00DCuuzfbk/LR60WW7EnhvKFF0sPfSV7xGmFURyrxYAurgEa9yMaEHO7pHyivroziiU5e9rJ3eWVdo8ouwMOgJF26N5VHvzxJ70AXvp47gFcndVedf0CoO5/sTuW2Pv6U1TTw4FCpDy8IAv+4sQsLRoarQjMABoa68dmMGAaGuXMotYj8ijqmRPuxJTFX1VO/jmuLhRuTqGvQ8/rk1mm0Rui0Grr5OpKgGHi621sxqpsX/xjTRcXE+rWY0MOHJlHk0S9Pssng2/LSTd0YEOZGSXUDDU163B3Ug8Zuvs2e6cdaMXpb3A4a43/v7QOArYEpkltuvpCLosjHu5J58ptT9At15eu5A+SA9Ea9XsUuaw0HkwuZvfIYIe52rLm/Hy52v970KtjNluKq+qtm4avEX6KQA/QOdMHRWkddo57pA4J+02qxqEoqnnfFSuyPzJIaXGwtEQSB58dL1rf1jXrGRHpTUFHHycxSevg5yfSo8Yv2yTFrLTGxhy+9DVLmn05lmwxJI7wdeHGCFFax+3w+aYY7+Lqjl1VCHy+H5tWOu70Vr288yxubk5gQ5cPK+2JxstGRnN/ce/dytGLX+Xzujg1k+7l8uvk4Mii8WTkqCIIU9KzA7TH+rDEkpSh74h/e0YvPZ8Ywf23871rMl+xJMfn//g4D170XCvjxVDYPjQhrtzd4Dz8nErPK0LcYNlbWNTLy/6Qd3R0xAfi1MkS90vxvSLg7j34ZL9/4B4a5MWtgsMwSSSusMvF8acsDpiMwskRsdFoEwfyKvLFJzwvfn+G9reeZ3MuX5TPVg0kjj7wtHE4t4r6VxwhylYq4628o4iCtyOHamGf9ZQr5qcxSNBqBBSPDTRgYHUVJlXTHvJhfIftJuNhJF8Hei83KMk8HK4rNbaEAACAASURBVCw0AtsS83C1b/4l1zboW71ITmeV8t5tkpgnu6yW+MvqlUlqYRWHU4uobWji5R8TVQMVyZxe+pV9dby5J7lw01k+3y/xYf89LRprnZbCyjo5Buuu2AAamkQWjAxn+cE0UguqeHCY6bR+R4uefW2DXr55KNWv0OwYebU+nO2BsYVm/N0aby5/ZSpkbUMTL35/hlB3O9lnvD2I8nemqr6JVIWaUK8X6fWqFBvobm/F21OjeGpMF5OUKq0gyGZqvs7WZm0gv4nLlPvuDtYWvHdbTzQaAXfD52Da0iPt/yavAHsrC0I9mkVPr/4kCZdqGppws7Mir8WKvLq+kbmr42QrgQ/v6GXiMNrQJKJrw83wSGoRs5YfI8DFljVz+qkIB78WwTKX/Oq3V/4ShVy5Wnzixi6Sr/hvWC0WV0u+Iz38nUg1hDU420oBE//eKW39HK0teH/beWJDXPnlbK4s4zdCSbsSkGhi9lYWFFTUced/D+PnLK2oWw5qXGx1zFx+jIiXtpBeVE1ZTYNsZuRmb8m38waavN99Fwt5blwEL0/shkYjUFBRx7T/NrNWtpzJk382fs7WaATMri6UQbsLRobLbm6NTXqV+tWIgWHuzB3W/uLyW1DX2ISjtY5be/sxa/kx7vj0kPw7/yv36hfvTJYk5lO6d4iBZby5nVYoPBd8GS9rIfY/MwJBELi5py9WFhpsLbWy9etLE7vKr9n62FAi/Rxlywoj4tJL5KL92qRIeWVvXJEXVtaZzIl+DaZE+zF3WKj8OYRmo6zK2ka8naxUrZXCyjqmLT3CznP5vD4pkmfGRphtRTU2tb7YOpZWzKwVx/B1tmbtnP5muei/Bs0UxKu/Iv9LsFbaWi3+mg+50UBqaCcP/JxsmLMqjksFVTy85gQ6rcCEKD8GhLnx9PoEevo7kVJQxSe7U+jiZc/F/Erc7a1UxlkiMLqrFzMHBTNv9Qkam/QUVJj2ye7uF4iPszU5pbWqENxlM/pSWdfIA6viSCkwTRz/8I6est9EQUUddy09LK/EegU48/TYLgwMc+dERgnn8yq5t38QidnlKrc4Zbbg4eduwNvJGhtLC97Zcg69KPKvO3q1y4/5aqCitoGknAoSs8tIzC4nMbuc5PwK1U3vyKViFowM/0sX8Yt5FXy6N4Vbevt1+PsM87DHRqclIbOMKdH+rI/LZKOhl334uRtkFWNqYRU1DXrendqD2w2DRiXjKuqVbWgE+HxGXzJLqnnJIOOf1MuXzadzmBDlw+RezUPXXwy7OhdbHXf3C5QH578WO5Ly+C5erXYO9bAjtaCK7Ul5MnMFpAI5Y/lR8sprWXJPH26M9DZ3SkCaR5kTPMWlFzNz2VG8naxZN6e/PH+6GjBSlK+FKOgvUcjNrQoHhrn/6g95saGQu9pZEhrpzfQBQXxxKJ0p0X58F5/FmEgvbuzmzdojGZw08HbrGvVcLqmhu5+TynvciG1n84j0deKD23sSl14iByMrcTi1iC2PDaXTCz+rHp+35gSP3tCJEHc7PtmdIr8PI1oW8csl1cwZEsqSPSk8ekMn+efw3z2pONnoeHZchMrcJ7WgUg4nmNzLVx4IzRsehlYDb26WivlHd0a3uR39NSioqJML9tnschKzy1RbT3d7S7r5OjG8iwenLpdyMKUIC43A/UNCWH0kg/5hbn/JYq7Xi7zw3RnsrCx4YXzXK7+gBbQagUhfR05nlnEhr0LOeP3qgf7y7xekwgXQW8Ei2ZqYi4O1hezYOX9EOIPC3en8YvN1+cPJbBystJzIKCH0uc34OtswJdpX9m0pqW5g9IetJ9xfCZZagfomkXIzfubjunvz8a4UzuVWEO5pT155LfEZJcxeeRxRFFk7pz+9A9sOP2nUiyYhFicySpix7BiejlIR93S0buXVvx5BbrbXV+S/F0qq69EIkvfywZRCNibksGBkOJ/uTUWnERja2QONIS5t0scH5H7iqAhP6pr0Jn1jB2sL+oe68eH2Czjb6nhgaChbHhtiIsZIKaiSi7hWI3D+9bEkF1SycGOSyiFRKSAyDiyNRTyzpIblM2PZdDobG52WAQb72kuFVWw9m8tDw8NURTyvvJYJi/bL/35tsprp8sDQMDSCwMJNSej18SyaFv2rksBFUeRycY1ilS39rdy5BLjaEOnjxNTe/kT6ORLp64SngxWCIPDJ7hQOphSh0wosnR7D8C6eDO3s8Zdtr6yPy+RoWjHvTI361f3ZKH8nlh9I40ZDQX1mbAT9QtXWyMfTSnC21cn2yY1NenYk5alsl5NyK5i/9oTJ+Wsb9VQYBo1ZpTUs3qVenDw1potZ0632wMZSS32Ned8h5efLuMu45ZOD+LvYsHJWLKFXGAiLokiTXsRCQT88ebmUGZ8fxd3eknVz+qvU3VcTIe52sk7jauJ6ITeD4qp6XGwtOXypSC4UA0LdWH0knYraRk5eLmVgmDs9/J25s2+ArNgcF+XDk4aVjzJb8O5+QTw7LoKEzFI++OUC7245z7tb2r7Az78+FguthghvR1bNjmXnuXxmrzR1Uj2QXCQX8fSiaqb28ad/qCuPf3WSoZ3d5S30Z/tS0Wk0zFD0LctqGpix7KhK6WZOcnz/kFA0gsBrG88ybelh1s3pLxfzgymFJGSWqXZFjU16kgsqScwql4v22ZxyuThoNQLhHvYMDpd47JG+TnTzdTSrlBNFkfe2nuPjXSl09XHg+fFd5ZbQb22h/VlRVFnHmz8nERvsym192s+rbokohVS9T5CL2WFpXEYJfQJd5D7ysbQS2flzfJQ34R72LNppnhJoTohjVBDfEu3HwyPC+Wxfqny+jqCslSIO0s2nt8LpE8DJRseGeYPa1QoxzgmMK/JTl0u59/MjuNpbsq7FjuVqI8jNjqKqesprG9ot728PrhdyMyiuqsfFzlLVez91uZTiKilxXlk4ZgwMlgt5WU0DC27oxNsKK1qA2BBpm9fD35kVs2J54bvTqh64OSzZkyKHHAuC0Kax1h2fHiKzpAYrnYaJPX1IzC4nt7yWJ7tKdMLCyjrWx2VyS28/PA20xdqGJu5feUy1ul/YgneuxH2DQ8gormbFwTTu/O8h1j3Qn7j0Eh5ec4LHRndm1eF0zhpW2edyK6g3qAKtddLN6OaevkT6OhHp60gXb4d2Oc3p9SKvbTzLioNpTIsNYOHkKJMBVUdbaIIguAJfAcFAGnC7KIompGZBENKACqAJaBRFMabd/8lvxBubk6iqa+SNKd3R/AbTqTc2NScAffPgAJPni6vqSS2o4tY+zZ5Ab2+Rrt0IbwfentpDZRXRHjQ06unp70RhVT3fx2f9as60raWWajOiJEdrC8prG01i0+aPCG93P9tIRLAwuETe+/kRnG11rJvT36zx19WEkbmSXlhN1FVkW10v5GZQXFWPq62lapW5JTEXrUZg7rBQlbLreFpzDXh2w2mSXhvLpoQclftcakEVIw3ZEhfyKthwIot+Ia64O1jJYgolburhw/vbLqAX4ZGR4XzwywX+vTOZkRGevHtrD2IWblcdn1pYhYO1BZ/e24eBYe58+MsFBAFGGqwDvjiUTl2jXs4fbGzSM39tPMfTSwjzsCOloIpuPo5XFDu8cnMkArD8YBqD3t5JSVU9elFyZQRpVRTp68iMAUFy0Q5xt/tVQ9Imvcgz3yawPi6T+weH8MKErlfLD/1ZYIcoim8LgvCs4d/PtHLsCFEUf1fV08GUQjacyOLhEWF0+pX2EiDtwIoMs55b+/ibvSGcMIhy+hj6yelFVQqnzlie+Ookey4UcHNPX348pRa0udrqKDaz0vZ1tsHd3oqknHKe23DaJOSkJZQ7VyMcrbVYajVmC/mobl5sOJElr/K1GoEmvcjCTUks3pVMWXUDvi3sC1qiwaDxOJ9bzpI9KTjaSEW8vbmlvwXB7gbmSlHV9UJ+rVFSXU+ou7rPtjUxl/6hriby3K2JuQS42siJLHsu5JOlGHba6jTy6qGqrpGH1pzAzsqCVydFmvTIjdiYkMOYSC8++OWCHLB8e4w/b06JwkKroZOnxI5RYtbAYHlluj0pjz6BLrjZW1Fd38iqQ2mM6upFuKc9oijy/Hen2Z6Ux2uTIuUwgRX3qS12W8PLN0eSUVzNjnP5hLjbMrGnH5G+jkT6Okrp5Veh2NY36nn8q5NsOp3DY6M68ejVjZibBAw3fL0S2E3rhfx3RV1jEy9+d4ZAV1uT2LWO4OTlUhYaVuMeDlZmmU4Ax9NL0GkFegY4U1pdz7D3dgMwZ0gIL3x3mh3n8nltUiTTBwTLhdzY0hgQ5sam02rKrY1Oy1NjukjOm+W1VyziAG/dEsVjX51UPRbm6SD7rHs7WpNXXotWI9CoF9G1kNUrab6lhuKeVVrDcxsMw3szxdz4mu9PZuPnbMO6Of3NRkBeCwS5GrjkV3ng+ZfgkV9tFFc1qFanyfkVpBZUMaYFnamsuoFDKUWMj/LhydFSG+OhNSe42eCrEu5pR12TyMnLpXIBTS2oZO6wUGavMO13K21Dt7YYiLwztYe8sh3QIsuzT5CLLILKLq0hMbtczjD85nimlAY0TFqNv7f1PF8fz2TByHC5R2dpoZFbLlfCwZRC4i+XsmBkOGU1jfQPdWVMpDf+LrZXpdjWNjTx4KrjbDqdw4sTuvLYqM5XO5nIyxiibPjbs5XjRGCbIAhxgiA80NYJBUF4QBCE44IgHC8oKGjr0Dbxye4UUgurWDi5e4dCDpQoq25g8scHAPjozl5M7uXL2exyeRWqRFx6MZG+TggCPPBFnOLxEnacy+f1yd2ZPiBYJbiprm8i0NXWpIj7Olnz1i1RTI72w83esl1FHMwXWmVYxuHnbyDlzfFyS00phGsLNQ1NrQ5albvlLx/o36Fot98KG0st3o7WV10UdL2Qt4AoipRU1+Nq1zyIMBbVG7upC/nO83k06kXGRHrLgyS9iMyd/dcd0QwMdSOjuJp1Ry/zw8lswjzseX/b/7d33uFRlfnb/zwz6b0nkE7vEHpXFMEuYAPEhiIWdNfddde6u++ubVd/u7qiUlw7ooiCuiIg0nsLLZSQhHTSe89knvePmTmZycwkgUxI8XyuKxfJzMnkGXLyPc/5lvs+h15KJfVh4uHJvQjwcGGImSaFif/bnIiUkrzyGj7dl6Y87u6sIbO4iv/MNQxBrTRqpl83KBRdg54PdqcQF+XH6Gh/Ptx9gfe2JzNvbBRPX9dP2Qlt+u3UVv3fOHrwqikVtTru//Ag2xPzeXX2UCUVdBn0E0KcsvFx2yW8xiQp5UjgBuAJIYTd/yQp5Qop5Wgp5ejg4NY7r5uTkl/Be9uSuWV4T6Zegns7WHp5Dv+bYXJzzshwbhsRztAIP2p1es7nWu7K63R6jmeWMjLKn2e+PsHB1CLluaPpJbw8awj3jo9GSsmtSw1dTTGBHpzNKbfwc33xJkNr5PxxUUpQvpQBGpNfqC0G9/Thr98nMPgvm1qlxNgUW2Yc53LKufe/BwFD2/KVDOIm2sOIWQ3kTSir0dGgl/ibpVA2JeQwPNLPqpq98VQOoT6ujIjww0mrsdAuAYP0ZZivG+U1Op5fZ7jVO59XQbCXK98vmWzRVQDw5Jfx/PmWQTaV55ZuS2Lsq79YTGwCuLs4kVtWS4OULJ0fx/bEfHoFedI72IuNCTlkFFWzeGovvj+ezd/+d5rrB4fx8qwhFhV/k3tJS7TnmH5JVR33fHCAw2nFvHX3COaPi2rLyyVKKYfY+PgOyBVC9AAw/mtTdFtKmW38Nw9YB4y1dZwjkFLy4vpTuDpreOnmS+sZb+rlaWKqsbPHdI6dbOLheSq7lDqdnh2JeXx/PJtZZuqcr8wewoLxBuXM1QczyC0ztIjW1FsGUxethoen9GLm4FDe255MTmkNDXrJ+mNZtJYHPjpo97mEbIMSpy2Lu9bQNOedmFvOfDOdfvOx/ytJbJCnw/VW1EDehGKzYSAw5NtOZJZyfZO0SnVdAzsS85kxKEwpJC0YZykbOzzSjw1N1ARdnTS8Omcowd6uVmP9MwaF8vKPZyiuquObxybww5LJ+JnpHueX15Kcb3kCmLoC1h7JZGi4L5nFVUwfFIqUkhU7U4gJ9MDVWcvv1xxnfK8A3po7Aq1GcPv7ewFYY6ObwR7tNaZvki04k13G+/eMVJQf24nvgfuNn98PfNf0ACGEpxDC2/Q5MAM41V4LWhefxd7kQv50/YBWp7hM2PPyNKUVogM88HZzsrrYmgqdyfmVzIkLZ71RnXPJtD7cYzyPUwsq+btxfkFgrTI4JNxw5/jCjYPQNUgWfXqY29/fe0kX9n3JRc0+P9ysIPj23BEArVJvNOXrTZw3BnGtRvCR0XKxNeqH7UF0oCcFFXWU1zhOBVEN5E0wVfpNOfLNRieemYNDLY7bkZhPTb2e64c0Bvhwf8sdwMgof7zcGuvJni5aPnpwDFP6BtOgl5zLbWz9C/F2NYjzS8naRycwKjqAoRG+rHt8kqK1YgtT4WZTQg7/O3GR+gbJ9IGh7E8p4kRmKWNjA3hi1VH6hnqz4r7RuDlryTC7NR4ba21RdyXJKqnmruX7SCus4sMHxjQ7Vu0gXgeuE0KcB64zfo0QoqcQwuSEEArsFkIcBw4CP0opN7bHYoor63j5xzPERfkxf+yl34XY9fI0Pq7RCIaG+1p5eL5tdIcaFxtgMZT1B2Pw0zXo+d2aY8r5ZSvlfTS9hEmvb+VQaiF1DXpOZpUqk86XQp8Q+wM8x80uCrcM60mQlyvH0kuIDjSkRMyDsb+Hs6IXY8rXAyTlVTBv5QGEEKx+ZDyRxr/T1uqRO5pYY+eKI7XJ1UDeBGVHbkytbErIoW+Il9W02OaEHHzdnS0Cocnw2cTkf2wlt6xWGTx4aHKssqNtemxeeS2R/u7o9NLiD8vTVWsxFu9tx627TqfnuW9P4u/hzMgoP1bsNEzZ/e/ERQK9XPhk4RiluHnj24ZumTeNKowdxYWCSu5ato+Cilo+f3gsk/u2/1CPlLJQSnmtlLKv8d8i4+PZUsobjZ+nSCmHGz8GSylfaa/1vP7TWUqr63l19tDL6hm31zJn/vjQCF/OXmzs7T+bU6aYQej0kt1JhhqHuQ/ssh3JHE0v4ebhzduhZZVU84evT1zyus1p6QI2qU8gA8K80WgEIyL9OJZRwnUDDRsr8/e5+emruPD6TRamG8n5FYrt4epF4+gd7KUMBF2KQ5AjiQ50vBFzmwK5EOJOIUSCEEIvhLhiAxPtiUn5MMDThaLKOg5eKLLqVqlv0LPlTC7TB4YqQTantMZC/wSgoKKOmEAPfNydLeR188preNNGRf1/T07hvQUjlVvTvPIa5q3Yj65BsvK+0YyJ8bdwY7HFtAEhpBRUsu2coXvCw0XLZwvHKbfsxZV1ymvcPrJdUxjNcjanjDuX7aO6voHVi8YzKrpj7ww6goMXivjqcAYPT45lYA/rAndreGZmfysD5aZphWHhftQ16EnMLSe3rMai7fVoerGilGg6z09llfLWlvPcPKyHRa3IHhLD38s446Ym2Nv1klzpvzjY/HDcnqRCpY4TF+VHSkElo406/uZ3l03lbC8UVDJvxX6klKxeNE7x9dQZJ1IvZY2OxHQ34cgWxLbuyE8Bc4DLV8fpZJjnyLecyUUvsQrk+1MKKavRWaRbPtxzwaZjeGZxtVWXx9NfHrMZkC+WVSs5Z1MQzy6p4eMHx3DdoFA+e2gc0wdadrrcNTrC4utvj2ax6NPG1saPHxyrCNoDPPjxIQAev7q3o9v6Ws3xjBLmrtiPVgNrFo9v1vW8u1Kn0/PCupOE+7nzm+mX3zM+Ky6c1+YMNfTwY51WgEZJ2/0phSw0/v5N/GPOMHzdnYkN8qRPiBc19Q08/dUxAr1ceHnWEHafL6BfiFeL+eTiyjqlbVBKbP4tmONidpeZlGe7z/3cy9crGjCBRsncEZEGU5YS44bL/MeYG0ykGoO4Ti9Z9fB4i+EqZUd+hdQ8m+Lh4kSoj6tDWxDb9E6klGeklJenitNJKaqqw8Woz7zpVA7hfu5KUcfExlM5uDtrlTaxt7Yk8um+VCb3DbZwVgn0dEGnl+iNxf6JvYN47Ope7EkuVI4J9nbll99fBTT2z5qC+MVSQxA3CR25OWut0iFrDmcSE2jZQmXKvf191hCLIFleU6/kMH/bxA3oSnEgpZB7PjiAt5sTXy+e2Cr38+7Iyl0pnM+r4G+3DcbDpW1zebPiwtnz7DVWaQUTEf7ueLs58fKPZ0jILlMef33OUGYOCWNfciEzBocihOCfG89xPq+CN+4YTq1Oz7nccm4fFUG/0OaFqIQwKFWuvG90q8yT7TlomXjuhgG4OmkV1yqTpMWwCEPfu/mQk+mOxFSMTSusZN7K/dTqGvhi0Tj6h1meYzrjz+6oHTkY0iudaUfeahw1NNHeFBvH8yvrGtiVVKCc4Cb0esnm07lc3T9YGdq4WFJDTb2eEG9XRQkR4IWbBhIV4MFff0igvkFPnU7Pip0XLH7e0nlx9AryxM/DmWPpJRZB/KMHxlip1dnSrrB3Zf/Ld6f43ZpjvLbhDHuTC5RR+pmDQzmcVnTFLdK2n8vjvg8PEurjyteLJxIVeOV7eDsDaYWV/OeX89wwJIxrB4a2/A0OoNyGHOzcsVFsO5unzELsSSrgwz0XuH9CNFP7BbPrvCF3PiY2QOmW8nTR2iy+6yW8v2AU1w0KbdFo3MVJQ4R/8+PwJhMGb2OzgJTw2k9nuP6tXUiJxSyFj7vRu7O0hoyiKuat2E91fQOrHh7PgDDrlJUimtVBXSsAsYGeDt2Rt7gVEEJsAWy1Erxg7MttFVLKFcAKgNGjR7dy7uvKY5rq3HEuX/HlNCc+o5j88lqlW6WmvoFfzuYxNNyH/50wtHBphaBBSipqdYyN9WftkSw+2ZtKelGVYqYcE+hBamEVPXwNY+1xkX5sOp3D4bQiu0HcsL465fOr+wez/Zzti+LhF6ezbHsyn+1Po75Bz0d7UpVd0Oy4cGWw50rx08mLPPVlPH1DvPnsobEOsc7qikgpeem7BJy1Gv5yS9tNkFvDB7suWD32tHGnuykhhxBvV3oHeXH92zvpFezJszcYetl3nc8nyMuVooo6pYd8wfhoBvbw4Y1N58guqcbT1YkKY5rQpF75yNReitm4u7OGarP+c61GoNfrbWr2mxPZxE3H3VnDih0pSveM+YBQmVEpcef5fNbFZ1FZZ9iJD7IxWAeNOfKOSq0ARAd5UFBRS0WtDi87DQyXQovvREo5vZnhim5HUWUtAZ7ObErIIcDThTFNzJE3JeTirBVMM05lfns0i4KKWp67YaCyi3h4Siy9jLrDc0ZG4Kw16HmbdhHebk5KsSbU1xDQwv3dKamqJzm/0m4QN6yvMZC/cONAm50nEf4G4aIXbx7Ezj9O497x0UoQD/Bw5vl1p66ohvfaI5k88cVRhkX4sfqR8b/aIA7ww4mL7EzM5w8z+rWrXKqJDScv8sqGRhVEU6FtVLQ/NfXGWYjBofz1hwTyymv5910jcHfRotdLdp8vYErfIH452zgzdfeYSCWVs/zeUVTU6ri6fzDerk68sP4kUkoSshrTNwsnx1p4gs4fF8VPv5nKgLDmU2pRZgVBL1cnvFydbbZAAkof/YnMUspr6ln18DgG97Rfd6nXd3xqJTbQsZoravthE4qr6vF0cWLb2TymDwyx+GVLKdl4KoeJvYPwcXOmQS9ZsTNZKSbll9fy2FW9+PpIJoN6+rA/pZDBPX355+3DlNfwcjWoFDprNQR5ueDqpCWvrIbP9xtygE9d29duEAfLQB7i7WYhQWois7haOS7Ux43nzBxmiqrqWTAu6ooF8c/2pfKHr48zoXcgnz001qbm+K+F0up6/vbDaYZF+HLvhJh2/3lH0op5uokgVVl1PRoBI6L82H2+gKq6BnQNknXxWTx5TR+GG4uJpy+WUVhZx+Q+QYop9/heAUobbkp+Bb9fc5xhEb4sWzCKP17fnz1JhayLz2JjQuOg27vbktFLQ71GIwxtvX1CvJgxyH5Kyd/DWWmVvVBYRWyQZ6vy7gCrHm65eN5g2pF3UB85NLYgOqqXvK3th7OFEJnABOBHIcQmh6yqAymqrONcbjnltTqLYR9A0ZkwpVs2JeSQWljFtP4hLFkdz7v3jORPNwxk6fw4dibmo9NLtp/Lw9tMQH7hJINKYU5pNWG+buSV1Sh9rtByb6t5IPdxd+KDXSk2jxv595/RG3OBa4xCQ95uThZtkO3Ne9uTeOm7BKYPDOW/949pc1GvK2KugzLxtV8oqKjl1dnWuuqOJq2wkkWfHqZWp0cI+Nddwwn0dKG4qp4BYT5sOZ3LU18atMa/OpRBZIA7T0zro3y/KT/u7+mszDXMM/Z7V9bqWPzZEZy0gvfuGYmbs5Z7xkUTF+XHs9+eZOtZa9WDawaEEBngQWJuOS+uP2XXrAIa8+MAFwoqiAnybLXEbGukYXWdYEduLmfrCNratbJOShkhpXSVUoZKKWc6ZFUdhK5BT2l1PWmFVXi6aK12rRtP5SCEQZBKSsmyHcnEBnni6qyx0iB5755ReLho+eF4Ns9+ewKtgCem9VaC6MXSGrRCMHelobC5ZvEE+oR4Ed/CZJypzz3cz53tifmKXKkt/vjNCWrqG3h7SyJOGsHyBaPaReyqKVJK/rnxLP/ceI5bh/fk/QUjL1vNryvTVAelsq4BrUbYbbdzFMWVdTz40SGKKg2Whf+6azhzRkYoOeMAT2ee/faEovctgbyyWgtt/F3n8xkQ5s3xjMbJypmDw5BS8sdvTpCcX8E780Yq8q8ajeC1OUOVoaOmeLs50cPXjZ9O5bDqQDoPToohyMt2j7rJIKJOpyeruJrYQA+b/fK2qGxhzgLM2w87LpB7uDgR4u2qplbagxKzjpCrB4RYBZ9N0uQ1RgAAIABJREFUCTmMjvYn2NuVfcmFnMgsZdGUXjx+tbWb++S+Qdw6vCdbzuRRUFHH8zcN5JmZA5QgejannOOZpeSU1vDxg2MZGxtAXKQf8enFSGm/FlxUYQjkWSXVPP65pY/iG3cMY8NTU5Sv1x7JZMBLGymsrOf3M/oxsY/jxa6aotdL/t8Pp40qi5H8++4RHVpU6khs6aA06OVl+1i2hpr6Bh757DApBZVoBPz77hGKObepd/tUVpmVAFatTq+sq7qugcOpxUzpG8TXxru5hybH4uas5b+7L/DjiYv8YWZ/q0lcWx0iJv76XQL7Uwy6Kn+9ZRDRAR4UVNTZPHbLmTzOXCwjvagKvYTYYE+Lfvnm2JHYckdcRw8EmYgJ9OwcO/LuRrFZ2qJpt0paYSVnc8qVx9/fkUyQlytzmpmONKmr+bg589BkgyTrxN5BFgp3piAOEBflT3FVvYVMaFOaplZMhPq4ctuIcAb19LEaEgJY1EQS1hFiV01p0Bt2ax/vTWXRlNgrkkLozNjTQckqqeZfPyey9Wwuha3M/bYGvV7yzNoTHEotVoK4uQCZqeBdYsd+zbTeAxcM2il9Q73JNg7ZzBsbyb7kQl776SwzB4fymI1zp6a+we7v+1uzqefJfYNZtiMF12ZMvG97d49iOG6yRzMVWXc+M83u9z2+6ihLt55XesVt0dEDQSZigjwc1oKoBnIzTEHSRauxMHkAw24cDAH+VFYpu84X8OCkGLspA1NhFGCimRFEXlkNv1tjMGieNzbKQqslLspQaDIX1m/K6YuNHQHmgXjhpFjFEPkPM/pbfd/vvz7e7MndVup0ep5aHc/aI5n8dnpfnr/RYdZsXRZ7eV0njWDp1vMs/Pgwo17ewuR/bGXJF0f5YFcKh1KLqLYhY9wa/u/nc/xwPNtmEIfGlj1fd9u1CtN6d50vwMVJo/Se+7g54enqxJOrjxId6MGbdw63+bvdk1TQ4kQnGPRlcspquKoZ3fX+od7sNO6uA8xMXvLLa3nwY/vStwBvbk7k9vf3kpRXbvP5zjAQBIaCZ355rdK+2RbUQI5BIGhvcoESyCf1CeRkVqnFwMzGUzkM7ulDZIAHy3em4OXqpGg22+L749mK5nd8RjF6vSSvrIa5K/crQ0O3NBEk6hfqjYeLlvh0Ky9gwDCWbDJhnjEolESjWYCLk4Z5ZvrdIT5uDI+0LPp8dyybez88yHvb7BeZLhfT7Xw7uvp0SezpoLx553BO/nUmXz0ynudvHMDwCD/i0w32bHcu28eQv27ihrd38dy3J/jqUDpnc8paDJBfHkzn3W3JaAS8NTfOphSwyYLQVq7ZXJ9l1/l8xsUG8K/NhlTL8zcO5PFVR6mqa2D5glEWxXtzNp7KwdvNyUrfPjLAnbljIpWvt5zJZUSkn93XAbjWTIpi3or9HEotoqCilvkrDbIVS6bZvpv093Bm6fw40ouquPE/u1m5M8Xq/64zDARBow+AI7TJf31tBDYYFuHLki/imR1nsmjzshiYySur4Wh6Cb+7rh/phVX8eCKbh6f0sttKV1ZTz8s/njG0mY2P5pm1J/jlbB6vbThDTlkN88ZGsvpgBj2bOHZrNYJhEb42C57VdQ089EmjhsrUfsG8uN4gkf3AxBilXcvEgDAfpVB17/hoPtufxr7kQvR6yaKpvRx2W1lRq+Ohjw9xMLWIV2cPbashRLfCNCpvGp5pago8rlegRatpXnkNJzJKOZ5ZwrGMEn48cZHVBw05ag8XLUPCfRkR6ceISD+GR/rR09cNIQQ7E/N5Yf0ptBrBW3eP4Jbh1pOVF0uryTKmTnKMRhH+Hs4UV9UT5OXCizcNYlZcODmlNSTmVnDT0J5K58rhtGLi00t4d/5Iu4bQugY9P5/J5ap+wcrdq4lvHpuIr7sz+1IKlXa7p67tw2sbzhIb5Kl42prz1pbzjInxJz69BGcnDXcu2wcYNi2LpsTy392pNtdRXFXPzcN6MjY2gBfWneKVDWfYlJDDm3cOVzSHTDtypw5sP4TGnv60wqpm+95bgxrIaSz+PfzJYTQCvj6SyXv3jFQKmJtOG/porx8SxspdKWg1goWTYu2+3r82J1JQUct/7x9NpLGqv+jTw3i6aPlk4VgOXjAUfWwNhMRF+bNyZwo19Q1K2qa+Qc8TXxzlSFrjTt1c6e3BSTEWryGlVNzQAdycNYpb+YELRfzmy3jenhvX5mBeUlXH/R8dMqjl2biVVzEEc3tu7k0J8XZj+iA3xW9Vr5ekFlZyPLOE4xkGre+PzSZ0oXGKGODV2UNtBnFAOXeuGRDC1rN5DI/w5e+zhnDr0j28PmeY8jN3nTekM8rMTA/WHslk8dRe3DTMvqTtwQtFlFTVM7CHD/87YWmm8suZPOaNjeK5GwbwqLFAPzY2kKT8Ch6/ujfvbrMtFXEotZg5ceE8fV0/pvxzG2BI4X1zJKtF16AQbzdW3DuKdfFZ/OX7BG54exfP3jCAe8dHd5oduSn3b+tCdqmoqRUjE3sH8cDEGPQS7hsfbdGFsjkhh9ggTwI9XVhzOIPZceF2p/JOZZXy6b5UFoyLZliEn4Xp7ccLxzImJoCLpdX4ezjbzK/HRfqh00tOGY0ApJQ8+42hN/c31zaq5Jmq89cMCKFHk539L2fyOJtTzqIpsXi4aFm56wKLpsTy99sGIwRsOJnDk1/E220Vaw155TWKq8+yBaO6TBBvrfSyEOJ6IcQ5IUSSEOLZK7lGExqNoFewF7PjIvjrrYNZ/8QkXp09xKJI2GDW4fT8upNc8+Z2nv7qGB/vuUB8erHiiXk4tRh3Zy1eroZz7nhmqaKSWV7bGLR3nS8gyMuV/+5uHOuf0CvQQhbXFpsScnDSCN7akmj13GsbzpBXXmMRfHefL0BKGN2CfLGfhwuPfHYEVycNs0b0xN1Za+VU1JRtxj52IQRzRkbw89NXMTY2gL98n8A9HxxQ7gqcOjhH7unqRLC3q0NSK2ogN7I3uYAvD2VYDcyUVtWzL7mQmYPD+GSvYTf0yFTb+Tm93uC9GODpwh9m9DfkxM08NoONo+k5pTWE+douhI0wFjxNKoWv/3SWb45m8vT0fhbWUKbWwZmDQy1y+VJK3tl6nsgAd6b2Mwh7md5T7xAv3pkXh7NWsDEhhyVfHL2sYJ5VUs3dy/crrj7XNTOl1wlpUXpZCKEF3sVgvDwImCeEGHRlltc8/95y3qYRcaCnC8/M7E/vEC92JxXw1x9OM/u9vQz5yyZuW7pb8b403y2bvDh3G1MoeqPJhLn3bA9fN96ZH4dTM3dver3km6NZ6PSSemNrX2RA4/ldU6/n/31/mqVmQ0CPfn4EaHmA58M9F0jOr2DlfaN5a24cPzw5ucUA/ODHhxj/6i+sN3bKhPm68fGDY3h9zlBOZpXymdHUpaOLnWDUXCpoe+eKGshp3h3+l7O56PSSqX2D+GRfGtcNDLVrTfXV4QyOZZTw/I0DqdE1MHfFfnLLavj33QY9lJ+NKZrskhp62NjRL9uRTFJeBRH+7sSnl7ByZwrLd6YwMsqPp67tY/Mu4B8bzykSAWDYUR3PLGXm4DB+8+Uxq/cU4OnCRw+MxdNFy+bTuTy+6tKCeUe4+jiSVkovjwWSjE5BdcCXwG3tv7qWsdfSWFRZxxPT+rDyvtEcfP5a9j57De/fM5KFky1TgLZqpqbz8vTFMooq6zif2ziw9P6CUQS1oI2z+XSuReeFi1ZDRlG1UlR9ZGovfjx5keT8SitJiSAvV0UO2hxz3f0V945SjukT4sVrc6zbWptmSXLKanju2xNKMBdCMHdsFBt/2zhn8fAnh7lY2rx4V3vjqF5yNZDTvDv8xlM5hPm4cfpiGaXV9Tx6te3deGFFLa//dJZxsQFM7B3EPGMQ/2ThWGbHRTAgzFv5g8kpq7EZlE1F18gAD340ih05awV3jIrgp1M5rIvPtjjew0VrJX61dGsSPXzd8DNW7229p8l9g1j9yHjFPOOxz48ot+DN8Sty9QkHMsy+zjQ+1uG0xtpNCEFPP3duGNqD524YyJ9uGNDsa5bVNKoHQmOL65JpfRQjB3uczy1Xdtdvzx3BsAhfJYdvkrM1D94PT7G8sEgpLdpzTWw50zjmX9WkHfPO0ZH8353DlbZEAbjaSFNW1+uthq8i/D14wtjxcji1mBn/3sk3RzKbHcJrT2KCPMkrr23VRGpzqIEc++7w902IZuf5fKYNCOHD3RcYGxvAyCh/m6/xj41nqazV8eQ1fZm/sjGIm1QOZwwyaIBnlxgErXr4WAdyU7A9ktpY1KxvkDy/7hSPrzrKGbMecrD0AAWDA8zB1CIWT+3Fkml9m3W8Hxbhx9pHJxDu584vZ/N49LMj1DRTQOpirj79hBCnbHy0dldt657b7l/6ldTab421W1OOGgudPm62exs8XAyvZ0qxmPj9DGvzEXPtmNEv/8wt7xhs4/w9nLl1eE+SjfIDPm5OXG2cxfj2aKby/WsPZ1q83s+nc+nVpF2xKbbuGmfFhXP0pevY++w1jIkJsAr2JrJs3ME06A13DT/9ZgoDwrz5/dfHWfTpEfLKm8+9twcxDhLPUgN5M+xMzKem3mAIkV1aw6NX9bJ53OHUItYczuTW4T3583enrII4wHWDwtBL+MLodGKvWDqxdxBjYgwXCxet4JmZ/Xl3/kj+9+RkHja7TR4V5c+qJuJXS7cmEeTlytxWurH3Cvbim8cm0i/Ui23n8llsJ5jvTylk/sr9XcnVJ7GN0suZQKTZ1xFAtp1jkVKukFKOllKODg62P+TiCFpj7daUw2nF9A3xoofxe8wRGIZvqup07DVzrpoxKNRqFqCpdkxBRR01OsP17fcz+nOxtIZKY0Cd0DuQYKNP7H+2JhEd6MGdoyL4aG+qxWu+suEM53JtD+6Y0+/Fn5j0+lYlVWKip587XywaZ/PKa6JpgG7Q63HSCmKCPPnykQm8eNNAdp7PZ+a/d/LDcbu/5nahsQWxbekVNZA3w6aEXHzdnYnPKKZ/qDfT+odYHaNr0PPi+lM4awV7kwttBnGAIeE+9PB148tDhkDetNPExN7kAk5fLEMjDF0LcVF+3DSsB0PCfS2u2s/fNMAil380vZjdSQU8MjX2kgSqwnzdWLN4AqOi/dmRmM+iTw9bBPPt5/K4/8ODhPm6/ZpcfQ4BfYUQsUIIF2Au8H0Hr0mhJWs3c/R6ydG0YvqFeZOSX8G0/sEWF4FwP3d8PZytDEps7fBtaceYmDEo1EIMbFKfIKW4D/DE1X148aZBuDdxF0orrOJfm607XWyRVVLNc9+etArmTlqN/dsl4OmvjlkMBdU3SCXHrtUIHp7Siw1PTSEq0JMnV8fzxKqjFlIY7Ympt/2CGsjbhzqdni1nctFqBCn5lSy+qpfNacWP96ZyNqec+gZJeU29zSAOsHxnCkPDfRWhoB5+buxNLrDoODEVXd+9ZyTDIvyICfC0UCnMKG4M5CMi/S3y3ku3JuHv4cw94+xPm9rDz8OFzx8axzUDQth1vkAJ5j+dvMiiTw/TJ8SLNYsnXBEjhPbGnvSyEKKnEGIDgJRSBywBNgFngDVSyoSOWnNbSMqvoKxGR1l1PfUNkieu6WtxEYgK9KC8RsfjqywF2GwV9O0VWgGuemM7933YODr/+f403tjcmJ+u1TXw1pZzVNZaXwguJTtdXd9gU3TMnpiWn7sze5IKeddsorlBL61mKPqEePHNoxN4ZmZ/Np/OYca/d1gNNrUHXq5OBHm5ktbGzhU1kNthf0oh5TU6iirrCPdztzlokVNaw79/NuwmTMM+toI4GAqZ+1Iab13TCitZ8kW8RceJedE1LsqP1KJK3p47wqZKoWlHMbF3EJP7BLH1bB4PTY7F8zJto9xdtCy/dxRzRoaz63wBA17ayGOrDK4+Xywaz7nc8ivu8dke2JNellJmSylvNDtug5Syn5Syt5TylY5bcds4bKy3FFTUEeLtSlyT4qW3m5PFoBnA3aMjbW5a7BVaNQIWjLdM50mJRZripe8S+Ghv2iUFbXvYuqDYqx385ZZBzBrRk7e2JLLf+Pen0+ttth46aTU8Ma0PPzw5mVAfNxZ/doTffXWM0irbImOOIibQQ92RtxfmLicPTY5VruAmXRaAv/94msq6BtycNMwZGW43iIMh4L47fyQCQ+77D1+fsOo4MS+6xkX5U1Ovx9/DRSlQns0x5BJvGmo5YffutiS83Zy4b2JMm96zs1bDm3cMtzC3WH7vKBKyS60uOipdg3VHMxHAmYtlVNTq+L5JDth0TpljzzzZnib4CzcN5IWbBikCcLePjODn313FWOPfw7T+wex77ppm89iXgq07Q1PtwCTVa6odzB4ZwcuzhxIT6MlTq+MpqKhF1yCbNXAZEObD+icm8Ztr+/L98WxmvLWDbeeszTIcRUyQp5ojbw8a9JLNCYZWQT8PZ+aObax7mVoEl+1I5scTF3Fz0uDipOGGofbHl01M7RfMkHBf6hpki3Zrpp2TLd0Vc+ncxNxyfjqVY1Nv5XJYtjOZerN84m1Ld7NkVfwV9fhUcQzr47M4nFas7IKr6hoscsy5ZTU2uyXGxNrekDQttLpoNfT0dVMkmk0dK5P7BiodVGDISffwdW+1y485tqRuB4TZnuOYFRfOdYNC6RXkaVE78HJ1Yun8kZRU1/P0V8eoa9CjbWE831mr4enr+rHu8Un4ujvz4EeH+NPaExZDeY4iJtCD3LJaquouvwVRDeQ2iE8vVjwC75sQY2FRZspLv7HpHM4agYuThmX3jmpVkNubXEBWSTVPtsJuzWCg7KIoIZr3uUabFRzf3ZaEh4u2We2X1mDu6nPbiJ6cf+UGpg8MIaukhjtGR6hBvAvy+k9nrVIZphxznU7PXcv2Wn3PzcN6NKvBYyq0Hnj+Wur1eqVDqriyjkKTemjvIN7Zep4gL1em9A1S/paemdnf5k7Y3ub4n7cP4x+3D7Mozk7oFcDO84VWrbgmQn3cyCmrseoLH9TTh7/cMohd5wv4/lg2GUXVNrtgmjI0wpcfnpzMo1f15usjGVz/1i72JDnWWSsmqO0tiGogt4GpyOHmrOEBG+mKib2DmDkolHq95IGJMa0O4qbp0d+3wm5NCMGISH+OGaVwzfOYprauCwWV/HA8m3vHR+Pvads2qzXo9ZK/fp9gdPWJ4l93jeBQahFH00t46po+rD2SeUU8PlUciz1NkuySahZ+fJC0Iutcs59H6+7qNp/ORUoUX9ukfMNuvG+IFxnF1exJKmTx1F5E+LsrBf5ZceG8cedw/MxUQ/09nBkdY3s2Y3dSvlWHzvsLRuHr7swL604qnrTmhPm6UlXXQLmNARsPZy1a0VhctdcF0xRXJy3P3jCAtY9NxNVJwz0fHODP351q0w7anMZe8stPr6iBvAlSSiU/fvfoSAtRexN7kwvYf6HokoyMm5setUdclB8pBZWUVNXx1aHGQUPTYMd725Jw1mp4aMrl78Z1DXr++M0JPtmXZnT1GcKBC4V2JQtUug5edgrffh7O7E4qtPncL2dalwveZBSS62vsbjG1Hk7qY9iNB3i6cM/4KIK8XCmqrFXa/2bFhXPsLzNIff0mUl+/ifg/zyAh2/bueouNtfh5uPDCjQM5ml7CV4czrJ4PNQ7a5ZZaX8Te3JxIQ5PYb68LxhYjo/z58akpPDQ5ls/2p3HD27s4ZEwftQXTHfaFNnSuqIG8CWculpNRVK30lzalOV2W5rA3Pdqc3VqcmYDW10caJ+KEEGQUVbEuPot5Y6MI8b68tsA6nZ6nvrR29bmci45K5yPIy4WmzSeuThrK7Fi9gaETqyXMheRM3S2mQO7jbuhJf2hyLB4uTgR6uqCXUFxluy+7uLLOZksiWI/mm5gzMpxxsQG8/tNZJW1jIswYyG3djdhrn2yurbIp7i5aXrp5EF8uGo+UcNfyfbz8v9PNTkW3hLebM0FeLuqO3JGYduM3De1BZID18MuVDHLDIvzQCMNtrAmT8tvynckIAYvtTJu2hMnVZ8PJHCtXn8u56Kh0LmrqG8guqeHqfsGKQJuXqxZPVy3B3m52ZwKaK0iaxvOH/20zOr3E3UWjPP65UVFw2Y5k3J013DfBMM8Q5G0YCiq0YbScUVTF7Tby9CbsqRMKIXhl9hCq6nS8uuGMxXOmQbuLNi5IrdGpaS3jegXy02+msGBcNB/svsCN/9ll19mrNcQE2jbYaC1qIMeypXCzMZCP7xVgs2/6Sga5z/enEe7nzhqztEqEvztvbDrHmkOZ3DEq0u6EaHOU19Rz/4cH2ZGYz2tzhtq881Dp2iRkl1LXYChG7nvuWnoFeVJR20B5jY73Fozk2esHWLUSujpp7Gq2mI/nm1i2PZkX15/kuW9PKtK6dTo99Q1SSdGYlBOb7pxPZZUy+729FJQbHrcVtBv0kthnf7RZlOwT4s0jU3vx7dEsi7vhEB/Dz7OVWrkcnZrm8HR14u+zhvD5Q+OoqWvg9vf38s+NZ1slQNeU6EBPtdjZVkwtheuOZnI2p5xhEb68uTmxw/umh0X4kldeqziaAGSX1pCSV0GDlDxuR4mxOUqq6ljwwQEOpxXz1t0jmNdKXRaVroVpEMgk8pZi3O39+ZbBjIzyZ1ZcOE9c03j+aDWCf9w+zO64v63x/Op6PasPZFg9rtNLJe8c5GWoMZkH8h2J+dy9fB+uThr++8AYAEZE+NpVKrNXlFwyrS+RAe68tP6UIqrl5qzF38PZZmrlcnRqWsPkvkFsfHoqd4yK4L3tydy2dI9iDNNaYgI9yCmruWzjbTWQ05geed7ogXmhoLJT9E1P7B3E/RNiLB67ul8w2xLzmDUi3Gbqpznyymu4e/l+zlws71KuPiqXzuG0YmICPQj2duWXM42pucl9Gs/p3NLG4PrgxJhmA5q9PHKDHflX0/GNO3JDamXN4QwWfnyIqEBPvn18otInfqGwqtmpT1tFSXcXLX+7dQjJ+ZWs3JWiPB7q42ZhhWjOpejUXAo+bs78847hfPjAaIoq65j17h7e2pJo4RDWHEoLYtHlpVfUQG5kYu8gphpNElrbUngluH9SDJ4ujbeDB1OLqNXpedyOi7g9TK4+6UVd0tVH5RKQ0iCUNTLan9SCSn771TGcjQMwpjxuVZ2O9fFZioTttQObPx9sGaGAwTPUFqa8s6+7M04aQUFFLW9vOc8f155gQq9A1iweT6iPG+lFhnRCcStEqmxdTKYNCOGGIWH855fzpBtTE2G+bi3awbUX1wwIZfPTU7l5WA/e2nKe2e/t4ZyN6dmmmFoQUy8zT64GciN7kws4lFrMU9f0sZKH7UjSCitxddYqqnElRpfw3sG2p9tscaGgkjvf39tlXX1ULo3UwioKK+sY3NOXRz8/glYj2PK7q/BydSLeOJfw44mLlNfqCPF2xcfNyW4vNxhqKrZG892dtcwbF2k1fWmedxZC4OfhzPvbk/n3lkTmjAznwwfG4G2cQk4zC74tYa8o+edbBuGkEbz03SmklIT5uJFTWmvz2CuBn4cLb82NY9mCUVwsqeGWd3bz3vYkdM3szqODDHfXqZeZJ1cDOZffUngl11Vd33gSTO5j7ahiD5OrT41O391dfVSMmIbHvj2aybnccv4zN47oQE+GR/py1LgjX30wnV5BnpTX6Li6f4jdac7iyjru+eAAqUVV3Ds+yiq//PKsoQw31pJs5Z0ra3VKWuWJab35vzuH42IW+DOKqgjycuFPNoqv5jRXlOzh687vZvRnR2I+P53KIczXjYKK2jaZizuC64eEsfnpqUwfFMI/N57jjmX7SM6vsHmsj5szgZ6X34J4eVJ53YzmWgo7MsXSdF0AvYI8KW6lGtuxjBLu//Agbs4avnx4fFcwhFBpI+vjs/jzd4ZaT0J2GTcOCVP8LuMi/Xl/RzLx6cUcTS/hpqE9+PHkRa4daK2zDwYtlgUfHCCtqIrlC0YxfVAof29yTEZRFUfSS3hwUgx/uWWwxXP55bU89Mkh5etnZlpbzqUXVREZ4KEE/jc2nSO7pBpfd2eEMNyB9vRz55mZ/ZvNZ98/IZpvjmTy/35IYJGxCyuvvIYI/47Vzw/0cuXd+SP54cRF/vzdKW58exfPzOzPwkmxaJp06sQEXX4LohrIwWbr4MTeQR2eJ7e1rjfvGm7Xbs6c/SmFPPTxIQK8XPji4fGXXBhV6XqYWgTNu0i2nctjfXwWs+LCGRntR4PeYB3ootXg4+6MViO4up91IE8vrOKe/+6nqKKOjx8cY/dv4b3tyWiFYPFUy3M1Jb+CBz46RF55Db7uzhZ1HoufU1TFqGjD+TwrLvyyi49OWg2vzB7CnPf38qWxXTe3rOMDORjSS7cO78n4XgE8/+1JXv7xDJsTcnnjzmFEBzba3EUHerAv2fbEbUuoqZUuQInZVFxrgvg2o6tPDz93vl48UQ3ivxLstQiauj3iIg3nzpmLZVw/JIyjacWMifHHt4m+yvnccu5cvpfyGh2rFo23G8SzS6pZeySDu8ZEWOS4j6YXc/v7e6mo1bF60XjmjomkoLLOSsiqvkFPdkk1UQ46P+Oi/Jk/NkqZMr39/X2tEsa6UoR4u7HyvtG8eedwzuSUccPbu/hsX6qiGRMT6MnF0strQVQDeRdg6daklg8ysuHkRR4xuvp89cj4buHq40iEEHcKIRKEEHohxOhmjksVQpwUQhwTQhy+kmu8XFoaQTcXVpvSN4hzueVMb9KtciKzhLuW70Mv4atHJjCiiRGFOct3JCOl5Z3j5oQc5q3Yj4+7M98+NpG4KH+CvFyp0+mthKyyiqvRSxy60Rjc08fyZ7RSGOtKIYTgjlERbH56KqOi/XnpuwTu/fAAWSXV5Bt77Qf9eeMlX4DUQN7Jqalv4IPdF1p17NojmSz5otHVJ9DMM1FF4RQwB9jZimOnSSlHSCntBvzOxKWMoFc9qFX3AAANAklEQVQYg6p526HBZPsAnq5OrH10Av3D7NdU8spqWH0og9tHRijpi8/2p/Ho50cYEObNN49NVHqjA01DQeWWnSSm1sNoBwbyd7dZT2NfijDWlaKHrzufLhzLq7OHciy9hGve2KYYszc3BGUPNZB3cr4+bDmeb49P96Xyh6+PM6F3IJ89NBZf97abTHRHpJRnpJSd66/aQbQ0gp6U19jP/Pn+NHoFexJrDLZbz+Zy/4cHCfVx5etHJ1jkbm2xfGcKDXrJ49N6o9dL/rHxLC+tP8W0/iGsfmS8MggEjUNBhU16xU2B3JGG3o4QxrpSCCGYPy6Kjb+dihTCwiAaLu0CpBY7OzF1Oj3vb2/cYfQPtb1Dem97Ev/ceI7rBoXyzrw43Jpp41JpNRLYLISQwHIp5Qp7BwohHgEeAYiK6jjJg6adH027Pb482LgpSM6vxMvVifXxWWg1gqe/OsaAHt588uDYFu/kCipqWXUgjduG9zS0/q05xvpj2cwfF8Xfbh2MU5NWRmW6s8mOPKOoChethtDLVO+0RU8/dws9GPPHOyuRAR7U22mVbO0FqE2BXAjxBnALUAckAw9KKa29yVQui3XxmWSX1jAyyo+j6SUM6GEZyKU0aFq8tz2Z20b05M07hzfr7vIrop8Q4pSNx1+QUn7XyteYJKXMFkKEAD8LIc5KKW2mY4xBfgXA6NGjHeEvfNnY6/yoqW/giwNpaASYNn4VtTqeWXuc+gbJ2JgAPnhgdKvsAj/YdYFanZ77Jsbw4McH2ZNUyB9m9OOJaX1smjbb0lsBwzBQRIC7VRteW3hmZn+rzp22CGNdKdp6AWrrX/3PwBAp5TAgEXiuja+nYkTXoOe97ckMDfdVxPL7hDROc9py9VGDuEKilHKIjY/WBnGklNnGf/OAdcDY9lrslWBTQg5V9XqamurUN0hcnTR8snBsq4J4cWUdn+1LZXS0P89+c4IDKUW8eedwllzT12YQBwjwNOiiF1RYp1YcmR+H9hPGam/aqszYph25lHKz2Zf7gTva8noqjfxwIpu0wiqW3zuKf2w8CzS6n+ga9Dz77UnWHslk0ZRYxRBCxTEIITwBjZSy3Pj5DOBvHbysNmGeVmlKnU6Pu50+bxPr47N4Y9M5Zdd4KLUYTxctHz4wRhk4soeTVoO/h4vFjlxKSUZRFWOakQa4XNrSj95RtJQWawlH5sgXAl/Ze7Kz5BG7Anq9ZOnWJAaEeXPdwFAWf3YEMPSh1un0/PareDaczOHp6f146lrbt7MqthFCzAbeAYKBH4UQx6SUM4UQPYEPpJQ3AqHAOuP/qxPwhZRyY4ctuo1cKKhkX0ohPm5OlNVY+0y2dPtua9AI4LFpvVsM4iYCPV0szCVKquopr9WpMw5mtOUC1OK9uBBiixDilI2P28yOeQHQAavsvY6UcoWUcrSUcnRwcOt++b9WNibkkJxfyRPT+ljkD33cnCxcfX4z3f7trIptpJTrpJQRUkpXKWWolHKm8fFsYxBHSpkipRxu/BgspXylY1fdNr48lI6TRvC7Gf2s1Apbc/tua9AIYPUB+7v8pgR5uVrsyJWOFTWQO4QWd+RSyunNPS+EuB+4GbhWNh3dUrlkpJS8szWJXsGe3Di0h8VzS1bHcyi1iNfmDFUNIVRaRZ1Oz9rDmUzpG8S+5EIapMTbzYmKGl2rb98d0dIX5O3KyczGPog0Uw95C22OKq2jrV0r1wN/Aq6SUl6+T5GKwi9n8jhzsYz/u3O4lf3VEaOrj2oIodISTXPae5MKqG2Q/PnmQSycHHtJr+WIlr6mqZUMYyCPDOi8bYFdiba2OSwFvDG0Zx0TQixzwJp+tUgpeWdbEpEB7tw6oidgmKAzobr6qLQGW/6atQ2SuWMjLzmIg2O8LoO9XSmv1Slu8+mFVQR5ueLhoo6yOIK2dq30cdRCVGDX+QKOZ5Tw6uyhOGs1ZJVUc/N/dinPq64+Kq3BXk57V+Ll6eu3taMCLHvJI/w9SC+qIkrdjTsM9XLYiVi6NYkevm7cPiqcCwWV3LNyv6I97u2m/qpUWkd7jKm3taUv0NM4pl9RpwTy9mg9/LWiTpB0Eg6kFHIwtYjFU3sZrNmMrj4v3jQQgAHNCBipqJhzKeJZV4ogb5MJs8G5J7u0mii10Okw1EDeSXhnaxJBXq4M7OHD3cv346QRrFk8HidjwbOfHZ0VFZWmOCKn7WjMUytZJdVIqbYeOhI1kHcCjqYXszupgOERviz8+BA+7k58/egE+oR4cy7XoFin7shVWktnHFNXhLMq6tQe8nZATbx2At41Gkf8cjaPPiFefP7QOMUQ4myOIZD3D/Ox+/0qKk3pbGPqbs5avFydKKioVQN5O6AG8g5i2Y5khkX44uPmzC9n8wCICfTgxiFhFq4+54yBXO23VenqBHm5UFBRh5OmElcnDSHeqvGJo1ADeQcxLMKXJV/E0yfYUPDpF+pFfnkt43sHWhxXZfTvC1LdflS6OIFerhRW1FKnayAywMOh8rW/dtQceQcxsXcQS+fHcTC1mEh/d/LLa3n3npF2jW5ViVqVro5hR15LepHjDJdVDKjRoQOZ2DuIByZGk1Fczb3jo+0GcRWV7oBBOKuOjKIqNZA7GDWQdyB7kwv4/vhFnrqmD58fSGdv8uVN3qmodAUCvVwpqqyjQpWvdThqIO8g9iYXsOSLeJbOj+N3M/qzdH4cS76IV4O5Srcl2NhLDjjcGejXjhrIO4gTmaUsnR+npFNMOfMTmaXKMdV11noZKm1DCPGGEOKsEOKEEGKdEMLPznHXCyHOCSGShBDPXul1dkfMC/ZRgWogdyRqIO8gHr2qt1VOfGLvIB69qrfy9YWCSgD6mnl1qrSZFn1mhRBa4F3gBmAQME8IMeiKrrIbEmgWyCP91UDuSNRA3glZtiOZvckFnMstA6B/mDd7kwtYtiO5g1fW9ZFSbpZSmvzO9gMRNg4bCyQZnYLqgC+B22wcp3IJHMsoVj6f/q8drI/P6sDVdC/UQN4JMfWY/3LGMCjk4aJlyRfxDIvw7eCVdTsWAj/ZeDwcMPcxyzQ+ZhMhxCNCiMNCiMP5+fkOXmL3YH18Fv/6OVH5Oqukmue+PakGcwehBvJOiClfvjkhF4ANJ3Ms8ukqLdKvjT6ztiZV7NoYqn60LfPGpnPU1OstHquub+CNTec6aEXdC3Wys5MysXcQC8ZH8eGeVB6cGKMG8UsjUUo52t6TrfCZzQQizb6OALIdu8RfF+2hka7SiLoj76TsTS5g/bFsnrqmD6sOqj3mjsLMZ/bWZnxmDwF9hRCxQggXYC7w/ZVaY3ekM2qkdyfUQN4JUXvM2xWbPrNCiJ5CiA0AxmLoEmATcAZYI6VM6KgFdwc6o0Z6d0JNrXRCmusxV1MsbcOez6yUMhu40ezrDcCGK7Wu7o4jfD9V7KMG8k6IeS+5iYm9g9QgrtKl6Wwa6d0JNbWioqKi0sVRA7mKiopKF0cN5CoqKipdHDWQq6ioqHRx1ECuoqKi0sURtgfb2vmHCpEPpDnwJYOA7txk3d3fHzj2PUZLKTtkVr4dzm0T3e0cUN/P5WHz3O6QQO5ohBCHmxvJ7up09/cHv4732Ba62/+P+n4ci5paUVFRUeniqIFcRUVFpYvTXQL5io5eQDvT3d8f/DreY1vobv8/6vtxIN0iR66ioqLya6a77MhVVFRUfrWogVxFRUWli9NtArkQ4g0hxFkhxAkhxDohhF9Hr8kRCCGuF0KcE0IkCSGe7ej1OBIhRKQQYpsQ4owQIkEI8ZuOXlNnpjuc493pfO5M52+3yZELIWYAW6WUOiHEPwCklH/q4GW1CSGEFkgErsNgP3YImCelPN2hC3MQQogeQA8p5VEhhDdwBJjVXd6fo+nq53h3O5870/nbbXbkUsrNRmcXgP0YfBa7OmOBJCllipSyDvgSuK2F7+kySCkvSimPGj8vx+DGowpW26EbnOPd6nzuTOdvtwnkTVgI/NTRi3AA4UCG2deZdNNAJ4SIAeKAAx27ki5DVzzHu+353NHnb5dyCBJCbAHCbDz1gpTyO+MxLwA6YNWVXFs7IWw81j1yYWYIIbyAb4DfSinLOno9HUk3P8e75fncGc7fLhXIpZTTm3teCHE/cDNwreweyf9MINLs6wggu4PW0i4IIZwx/BGsklJ+29Hr6Wi6+Tne7c7nznL+dqdi5/XAv4CrpJT5Hb0eRyCEcMJQHLoWyMJQHJrfXRzdhRAC+AQoklL+tqPX09np6ud4dzufO9P5250CeRLgChQaH9ovpXy0A5fkEIQQNwJvAVrgQynlKx28JIchhJgM7AJOAnrjw88bHexVmtAdzvHudD53pvO32wRyFRUVlV8r3bVrRUVFReVXgxrIVVRUVLo4aiBXUVFR6eKogVxFRUWli6MGchUVFZUujhrIVVRUVLo4aiBXUVFR6eL8f6FHjpwhhmnXAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2)\n", "my_plotter(ax1, data1, data2, {'marker': 'x'})\n", "my_plotter(ax2, data3, data4, {'marker': 'o'})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For these simple examples this style seems like overkill, however once the graphs get slightly more complex it pays off.\n", "\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.6" } }, "nbformat": 4, "nbformat_minor": 4 }