{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Visualization with Matplotlib\n", "\n", "We'll now take an in-depth look at the Matplotlib package for visualization in Python.\n", "Matplotlib is a multi-platform data visualization library built on NumPy arrays, and designed to work with the broader SciPy stack.\n", "It was conceived by John Hunter in 2002, originally as a patch to IPython for enabling interactive MATLAB-style plotting via gnuplot from the IPython command line.\n", "IPython's creator, Fernando Perez, was at the time scrambling to finish his PhD, and let John know he wouldn’t have time to review the patch for several months.\n", "John took this as a cue to set out on his own, and the Matplotlib package was born, with version 0.1 released in 2003.\n", "It received an early boost when it was adopted as the plotting package of choice of the Space Telescope Science Institute (the folks behind the Hubble Telescope), which financially supported Matplotlib’s development and greatly expanded its capabilities.\n", "\n", "One of Matplotlib’s most important features is its ability to play well with many operating systems and graphics backends.\n", "Matplotlib supports dozens of backends and output types, which means you can count on it to work regardless of which operating system you are using or which output format you wish.\n", "This cross-platform, everything-to-everyone approach has been one of the great strengths of Matplotlib.\n", "It has led to a large user base, which in turn has led to an active developer base and Matplotlib’s powerful tools and ubiquity within the scientific Python world." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "In recent years, however, the interface and style of Matplotlib have begun to show their age.\n", "Newer tools like ggplot and ggvis in the R language, along with web visualization toolkits based on D3js and HTML5 canvas, often make Matplotlib feel clunky and old-fashioned.\n", "Still, I'm of the opinion that we cannot ignore Matplotlib's strength as a well-tested, cross-platform graphics engine.\n", "Recent Matplotlib versions make it relatively easy to set new global plotting styles (see [Customizing Matplotlib: Configurations and Style Sheets](04.11-Settings-and-Stylesheets.ipynb)), and people have been developing new packages that build on its powerful internals to drive Matplotlib via cleaner, more modern APIs—for example, Seaborn (discussed in [Visualization With Seaborn](04.14-Visualization-With-Seaborn.ipynb)), [ggpy](http://yhat.github.io/ggpy/), [HoloViews](http://holoviews.org/), [Altair](http://altair-viz.github.io/), and even Pandas itself can be used as wrappers around Matplotlib's API.\n", "Even with wrappers like these, it is still often useful to dive into Matplotlib's syntax to adjust the final plot output.\n", "For this reason, I believe that Matplotlib itself will remain a vital piece of the data visualization stack, even if new tools mean the community gradually moves away from using the Matplotlib API directly." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Importing Matplotlib\n", "\n", "Just as we use the ``np`` shorthand for NumPy and the ``pd`` shorthand for Pandas, we will use some standard shorthands for Matplotlib imports:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib as mpl\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Setting Styles\n", "\n", "We will use the ``plt.style`` directive to choose appropriate aesthetic styles for our figures.\n", "Here we will set the ``classic`` style, which ensures that the plots we create use the classic Matplotlib style:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "plt.style.use('classic')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Throughout this section, we will adjust this style as needed.\n", "Note that the stylesheets used here are supported as of Matplotlib version 1.5; if you are using an earlier version of Matplotlib, only the default style is available.\n", "For more information on stylesheets, see [Customizing Matplotlib: Configurations and Style Sheets](04.11-Settings-and-Stylesheets.ipynb)." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## General Matplotlib Tips\n", "\n", "Before we dive into the details of creating visualizations with Matplotlib, there are a few useful things you should know about using the package." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "#### Plotting from an IPython notebook\n", "\n", "The IPython notebook is a browser-based interactive data analysis tool that can combine narrative, code, graphics, HTML elements.\n", "\n", "Plotting interactively within an IPython notebook can be done with the ``%matplotlib`` command, and works in a similar way to the IPython shell.\n", "In the IPython notebook, you also have the option of embedding graphics directly in the notebook, with two possible options:\n", "\n", "- ``%matplotlib notebook`` will lead to *interactive* plots embedded within the notebook\n", "- ``%matplotlib inline`` will lead to *static* images of your plot embedded in the notebook\n", "\n", "For this book, we will generally opt for ``%matplotlib inline``:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "After running this command (it needs to be done only once per kernel/session), any cell within the notebook that creates a plot will embed a PNG image of the resulting graphic:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "x = np.linspace(0, 10, 100)\n", "\n", "fig = plt.figure()\n", "plt.plot(x, np.sin(x), '-')\n", "plt.plot(x, np.cos(x), '--'); # pay attention to the last \";\" to ignore the Line2D object" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "matplotlib.lines.Line2D" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "type(_[0])" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Saving Figures to File\n", "\n", "One nice feature of Matplotlib is the ability to save figures in a wide variety of formats.\n", "Saving a figure can be done using the ``savefig()`` command.\n", "For example, to save the previous figure as a PNG file, you can run this:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "fig.savefig('my_figure.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now have a file called ``my_figure.png`` in the current working directory:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-rw-r--r-- 1 mn staff 26K Apr 8 12:10 my_figure.png\r\n" ] } ], "source": [ "!ls -lh my_figure.png" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "In ``savefig()``, the file format is inferred from the extension of the given filename.\n", "Depending on what backends you have installed, many different file formats are available.\n", "The list of supported file types can be found for your system by using the following method of the figure canvas object:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'eps': 'Encapsulated Postscript',\n", " 'jpg': 'Joint Photographic Experts Group',\n", " 'jpeg': 'Joint Photographic Experts Group',\n", " 'pdf': 'Portable Document Format',\n", " 'pgf': 'PGF code for LaTeX',\n", " 'png': 'Portable Network Graphics',\n", " 'ps': 'Postscript',\n", " 'raw': 'Raw RGBA bitmap',\n", " 'rgba': 'Raw RGBA bitmap',\n", " 'svg': 'Scalable Vector Graphics',\n", " 'svgz': 'Scalable Vector Graphics',\n", " 'tif': 'Tagged Image File Format',\n", " 'tiff': 'Tagged Image File Format'}" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fig.canvas.get_supported_filetypes()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Two Interfaces for the Price of One\n", "\n", "A potentially confusing feature of Matplotlib is its dual interfaces: a convenient MATLAB-style state-based interface, and a more powerful object-oriented interface. We'll quickly highlight the differences between the two here." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "#### MATLAB-style Interface\n", "\n", "Matplotlib was originally written as a Python alternative for MATLAB users, and much of its syntax reflects that fact.\n", "The MATLAB-style tools are contained in the pyplot (``plt``) interface.\n", "For example, the following code will probably look quite familiar to MATLAB users:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure() # create a plot figure\n", "\n", "# create the first of two panels and set current axis\n", "plt.subplot(2, 1, 1) # (rows, columns, panel number)\n", "plt.plot(x, np.sin(x))\n", "\n", "# create the second panel and set current axis\n", "plt.subplot(2, 1, 2)\n", "plt.plot(x, np.cos(x), '--');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "#### Object-oriented interface\n", "\n", "The object-oriented interface is available for these more complicated situations, and for when you want more control over your figure.\n", "Rather than depending on some notion of an \"active\" figure or axes, in the object-oriented interface the plotting functions are *methods* of explicit ``Figure`` and ``Axes`` objects.\n", "To re-create the previous plot using this style of plotting, you might do the following:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# First create a grid of plots\n", "# ax will be an array of two Axes objects\n", "fig, ax = plt.subplots(2)\n", "\n", "# Call plot() method on the appropriate object\n", "ax[0].plot(x, np.sin(x))\n", "ax[1].plot(x, np.cos(x), '--');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Simple Line Plots\n", "\n", "Perhaps the simplest of all plots is the visualization of a single function $y = f(x)$.\n", "Here we will take a first look at creating a simple plot of this type.\n", "As with all the following sections, we'll start by setting up the notebook for plotting and importing the packages we will use:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "plt.style.use('seaborn-whitegrid')\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "For all Matplotlib plots, we start by creating a figure and an axes.\n", "In their simplest form, a figure and axes can be created as follows:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXYAAAD/CAYAAADllv3BAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/Il7ecAAAACXBIWXMAAAsTAAALEwEAmpwYAAAQJUlEQVR4nO3bf2jUhR/H8de2c/7YLUUUdcaJLBYoyjyF/pBpaEPZDNKxHynDYJIhZeTAxD9UhqxZBJKJYeIkIdssEDWwnA61Cf4YzhqoA/9Y5Q2V1LabY9d5n+8f+r37DvU+c+52X989H3/dfT6fu715J88+LT8pjuM4AgCYkZrsAQAAg4uwA4AxhB0AjCHsAGAMYQcAYwg7ABjTr7BfvnxZ5eXljx0/efKkioqKVFpaqvr6+kEfDgDw7DxuF3z99dc6fPiwRo4c2ef4P//8o08++UTff/+9Ro4cqbffflsLFizQuHHjEjYsAMCd6x27z+fTjh07Hjt+/fp1+Xw+jR49Wunp6Zo9e7YuXLiQkCEBAP3nGvZFixbJ43n8xj4YDCozMzP6PiMjQ8FgcHCnAwA8swH/z1Ov16vu7u7o++7u7j6hBwAkh+vv2J8mOztb7e3tunfvnkaNGqWLFy+qoqLiidc2NzcPeEAA+DebPXv2M3/mmcN+5MgR3b9/X6WlpdqwYYMqKirkOI6Kioo0YcKEQR3OokAgoKysrGSP8X+BXcSwixh2ETPQm+J+hf3ll1+O/nXGN998M3p8wYIFWrBgwYB+MAAgMXhACQCMIewAYAxhBwBjCDsAGEPYAcAYwg4AxhB2ADCGsAOAMYQdAIwh7ABgDGEHAGMIOwAYQ9gBwBjCDgDGEHYAMIawA4AxhB0AjCHsAGAMYQcAYwg7ABhD2AHAGMIOAMYQdgAwhrADgDGEHQCMIewAYAxhBwBjCDsAGEPYAcAYwg4AxhB2ADCGsAOAMYQdAIwh7ABgDGEHAGMIOwAYQ9gBwBjXsEciEW3atEmlpaUqLy9Xe3t7n/N79+7VsmXLVFRUpOPHjydsUABA/3jcLmhoaFAoFFJdXZ1aWlpUU1OjXbt2SZI6Ozv1zTff6Oeff1ZPT4/eeust5efnJ3xoAMDTud6xNzc3Ky8vT5KUm5ur1tbW6LmRI0cqKytLPT096unpUUpKSuImBQD0i+sdezAYlNfrjb5PS0tTOByWx/Pwo5MmTVJhYaEePHig1atXJ25SAEC/uIbd6/Wqu7s7+j4SiUSjfvr0ad26dUsnTpyQJFVUVMjv92vmzJmPfU8gEBismV9oXV1d7OIRdhHDLmLYxfNzDbvf71djY6MKCgrU0tKinJyc6LnRo0drxIgRSk9PV0pKijIzM9XZ2fnE78nKyhq8qV9ggUCAXTzCLmLYRQy7iOno6BjQ51zDnp+fr6amJpWVlclxHFVXV6u2tlY+n08LFy7U2bNnVVJSotTUVPn9fs2dO3dAgwAABodr2FNTU1VVVdXnWHZ2dvT12rVrtXbt2sGfDAAwIDygBADGEHYAMIawA4AxhB0AjCHsAGAMYQcAYwg7ABhD2AHAGMIOAMYQdgAwhrADgDGEHQCMIewAYAxhBwBjCDsAGEPYAcAYwg4AxhB2ADCGsAOAMYQdAIwh7ABgDGEHAGMIOwAYQ9gBwBjCDgDGEHYAMIawA4AxhB0AjCHsAGAMYQcAYwg7ABhD2AHAGMIOAMYQdgAwhrADgDGEHQCM8bhdEIlEtGXLFl27dk3p6enaunWrpkyZEj1/6tQp7dy5U47jaPr06dq8ebNSUlISOjQA4Olc79gbGhoUCoVUV1enyspK1dTURM8Fg0F99tln+uqrr3Tw4EFNnjxZd+/eTejAAID4XMPe3NysvLw8SVJubq5aW1uj5y5duqScnBxt27ZNy5cv17hx4zR27NjETQsAcOX6q5hgMCiv1xt9n5aWpnA4LI/Ho7t37+rcuXM6dOiQRo0apRUrVig3N1dTp05N6NAAgKdzvWP3er3q7u6Ovo9EIvJ4Hv77YMyYMZoxY4bGjx+vjIwMzZkzR1euXEnctAAAV6537H6/X42NjSooKFBLS4tycnKi56ZPn662tjbduXNHL730ki5fvqySkpInfk8gEBi8qV9gXV1d7OIRdhHDLmLYxfNzDXt+fr6amppUVlYmx3FUXV2t2tpa+Xw+LVy4UJWVlVq1apUkafHixX3C/7+ysrIGd/IXVCAQYBePsIsYdhHDLmI6OjoG9DnXsKempqqqqqrPsezs7OjrwsJCFRYWDuiHAwAGHw8oAYAxhB0AjCHsAGAMYQcAYwg7ABhD2AHAGMIOAMYQdgAwhrADgDGEHQCMIewAYAxhBwBjCDsAGEPYAcAYwg4AxhB2ADCGsAOAMYQdAIwh7ABgDGEHAGMIOwAYQ9gBwBjCDgDGEHYAMIawA4AxhB0AjCHsAGAMYQcAYwg7ABhD2AHAGMIOAMYQdgAwhrADgDGEHQCMIewAYAxhBwBjCDsAGOMa9kgkok2bNqm0tFTl5eVqb29/4jWrVq3SgQMHEjIkAKD/XMPe0NCgUCikuro6VVZWqqam5rFrtm/frs7OzoQMCAB4Nq5hb25uVl5eniQpNzdXra2tfc4fO3ZMKSkp0WsAAMnlGvZgMCiv1xt9n5aWpnA4LElqa2vT0aNH9eGHHyZuQgDAM/G4XeD1etXd3R19H4lE5PE8/NihQ4d08+ZNrVy5Ujdu3NCwYcM0efJkzZs3L3ETAwDicg273+9XY2OjCgoK1NLSopycnOi59evXR1/v2LFD48aNe2rUA4HAIIz74uvq6mIXj7CLGHYRwy6en2vY8/Pz1dTUpLKyMjmOo+rqatXW1srn82nhwoX9/kFZWVnPNagVgUCAXTzCLmLYRQy7iOno6BjQ51zDnpqaqqqqqj7HsrOzH7vugw8+GNAAAIDBxQNKAGAMYQcAYwg7ABhD2AHAGMIOAMYQdgAwhrADgDGEHQCMIewAYAxhBwBjCDsAGEPYAcAYwg4AxhB2ADCGsAOAMYQdAIwh7ABgDGEHAGMIOwAYQ9gBwBjCDgDGEHYAMIawA4AxhB0AjCHsAGAMYQcAYwg7ABhD2AHAGMIOAMYQdgAwhrADgDGEHQCMIewAYAxhBwBjCDsAGEPYAcAYwg4AxnjcLohEItqyZYuuXbum9PR0bd26VVOmTIme37dvn3788UdJ0vz58/X+++8nbloAgCvXO/aGhgaFQiHV1dWpsrJSNTU10XN//PGHDh8+rO+++0719fX65ZdfdPXq1YQODACIz/WOvbm5WXl5eZKk3Nxctba2Rs9NnDhRe/bsUVpamiQpHA5r+PDhCRoVANAfrnfswWBQXq83+j4tLU3hcFiSNGzYMI0dO1aO42jbtm2aNm2apk6dmrhpAQCuXO/YvV6vuru7o+8jkYg8ntjHent7tXHjRmVkZGjz5s1P/Z5AIPCco9rQ1dXFLh5hFzHsIoZdPD/XsPv9fjU2NqqgoEAtLS3KycmJnnMcR2vWrNFrr72md999N+73ZGVlPf+0BgQCAXbxCLuIYRcx7CKmo6NjQJ9zDXt+fr6amppUVlYmx3FUXV2t2tpa+Xw+RSIRnT9/XqFQSGfOnJEkrVu3TrNmzRrQMACA5+ca9tTUVFVVVfU5lp2dHX3922+/Df5UAIAB4wElADCGsAOAMYQdAIwh7ABgDGEHAGMIOwAYQ9gBwBjCDgDGEHYAMIawA4AxhB0AjCHsAGAMYQcAYwg7ABhD2AHAGMIOAMYQdgAwhrADgDGEHQCMIewAYAxhBwBjCDsAGEPYAcAYwg4AxhB2ADCGsAOAMYQdAIwh7ABgDGEHAGMIOwAYQ9gBwBjCDgDGEHYAMIawA4AxhB0AjCHsAGCMa9gjkYg2bdqk0tJSlZeXq729vc/5+vp6LVu2TCUlJWpsbEzYoACA/vG4XdDQ0KBQKKS6ujq1tLSopqZGu3btkiTdvn1b+/fv1w8//KDe3l4tX75cc+fOVXp6esIHBwA8mesde3Nzs/Ly8iRJubm5am1tjZ779ddfNWvWLKWnpyszM1M+n09Xr15N3LQAAFeuYQ8Gg/J6vdH3aWlpCofD0XOZmZnRcxkZGQoGgwkYEwDQX65h93q96u7ujr6PRCLyeDxPPNfd3d0n9ACAoef6O3a/36/GxkYVFBSopaVFOTk50XMzZ87U9u3b1dvbq1AopOvXr/c5/7+am5sHb+oXXEdHR7JH+L/BLmLYRQy7eD4pjuM48S6IRCLasmWL2tra5DiOqqurdfr0afl8Pi1cuFD19fWqq6uT4zhavXq1Fi1aNFSzAwCewDXsAIAXCw8oAYAxgxp2HmZ6yG0P+/btU3FxsYqLi/Xll18macqh4baL/16zatUqHThwIAkTDh23XZw6dUolJSUqLi7Wli1bZPk/pt12sXfvXi1btkxFRUU6fvx4kqYcWpcvX1Z5efljx0+ePKmioiKVlpaqvr6+f1/mDKKffvrJ+fjjjx3HcZxLly457733XvTcrVu3nCVLlji9vb1OZ2dn9LVF8fbw+++/O0uXLnXC4bATiUSc0tJS58qVK8kaNeHi7eK/Pv/8c6e4uNj59ttvh3q8IRVvF11dXU5hYaHz119/OY7jOLt3746+tijeLv7++29n/vz5Tm9vr3Pv3j3n9ddfT9aYQ2b37t3OkiVLnOLi4j7HQ6GQ88Ybbzj37t1zent7nWXLljm3b992/b5BvWPnYaaH4u1h4sSJ2rNnj9LS0pSSkqJwOKzhw4cna9SEi7cLSTp27JhSUlKi11gWbxeXLl1STk6Otm3bpuXLl2vcuHEaO3ZsskZNuHi7GDlypLKystTT06Oenh6lpKQka8wh4/P5tGPHjseOX79+XT6fT6NHj1Z6erpmz56tCxcuuH6f6193fBZPe5jJ4/H8qx5mireHYcOGaezYsXIcR59++qmmTZumqVOnJnHaxIq3i7a2Nh09elRffPGFdu7cmcQph0a8Xdy9e1fnzp3ToUOHNGrUKK1YsUK5ublm/2zE24UkTZo0SYWFhXrw4IFWr16drDGHzKJFi/Tnn38+dnyg3RzUsPMw00Px9iBJvb292rhxozIyMrR58+ZkjDhk4u3i0KFDunnzplauXKkbN25o2LBhmjx5subNm5escRMq3i7GjBmjGTNmaPz48ZKkOXPm6MqVK2bDHm8Xp0+f1q1bt3TixAlJUkVFhfx+v2bOnJmUWZNpoN0c1F/F+P1+nT59WpKe+DBTc3Ozent71dXVFfdhphddvD04jqM1a9bo1VdfVVVVldLS0pI15pCIt4v169fr4MGD2r9/v5YuXap33nnHbNSl+LuYPn262tradOfOHYXDYV2+fFmvvPJKskZNuHi7GD16tEaMGKH09HQNHz5cmZmZ6uzsTNaoSZWdna329nbdu3dPoVBIFy9e1KxZs1w/N6h37Pn5+WpqalJZWVn0Yaba2trow0zl5eVavny5HMfRRx99ZPZ3y/H2EIlEdP78eYVCIZ05c0aStG7dun79w3oRuf2Z+Ddx20VlZaVWrVolSVq8eLHZGx/JfRdnz55VSUmJUlNT5ff7NXfu3GSPPKSOHDmi+/fvq7S0VBs2bFBFRYUcx1FRUZEmTJjg+nkeUAIAY3hACQCMIewAYAxhBwBjCDsAGEPYAcAYwg4AxhB2ADCGsAOAMf8BcOezzeoF/EsAAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = plt.axes()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "In Matplotlib, the *figure* (an instance of the class ``plt.Figure``) can be thought of as a single container that contains all the objects representing axes, graphics, text, and labels.\n", "The *axes* (an instance of the class ``plt.Axes``) is what we see above: a bounding box with ticks and labels, which will eventually contain the plot elements that make up our visualization.\n", "Throughout this book, we'll commonly use the variable name ``fig`` to refer to a figure instance, and ``ax`` to refer to an axes instance or group of axes instances.\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "\n", "Once we have created an axes, we can use the ``ax.plot`` function to plot some data. Let's start with a simple sinusoid:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = plt.axes()\n", "\n", "x = np.linspace(0, 10, 1000)\n", "ax.plot(x, np.sin(x));" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Alternatively, we can use the pylab interface and let the figure and axes be created for us in the background:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, np.sin(x));" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "If we want to create a single figure with multiple lines, we can simply call the ``plot`` function multiple times:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, np.sin(x))\n", "plt.plot(x, np.cos(x), '--');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Adjusting the Plot: Line Colors and Styles\n", "\n", "The first adjustment you might wish to make to a plot is to control the line colors and styles.\n", "The ``plt.plot()`` function takes additional arguments that can be used to specify these.\n", "To adjust the color, you can use the ``color`` keyword, which accepts a string argument representing virtually any imaginable color." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "\n", "The color can be specified in a variety of ways (If no color is specified, Matplotlib will automatically cycle through a set of default colors for multiple lines):" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, np.sin(x - 0), '--', color='blue') # specify color by name\n", "plt.plot(x, np.sin(x - 1), color='g') # short color code (rgbcmyk)\n", "plt.plot(x, np.sin(x - 2), color='0.75') # Grayscale between 0 and 1\n", "plt.plot(x, np.sin(x - 3), color='#FFDD44') # Hex code (RRGGBB from 00 to FF)\n", "plt.plot(x, np.sin(x - 4), color=(1.0,0.2,0.3)) # RGB tuple, values 0 to 1\n", "plt.plot(x, np.sin(x - 5), color='chartreuse'); # all HTML color names supported" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Similarly, the line style can be adjusted using the ``linestyle`` keyword:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, x + 0, linestyle='solid')\n", "plt.plot(x, x + 1, linestyle='dashed') # '--'\n", "plt.plot(x, x + 2, linestyle='dashdot')\n", "plt.plot(x, x + 3, linestyle='dotted');\n", "\n", "# For short, you can use the following codes:\n", "plt.plot(x, x + 4, linestyle='-') # solid\n", "plt.plot(x, x + 5, linestyle='--') # dashed\n", "plt.plot(x, x + 6, linestyle='-.') # dashdot\n", "plt.plot(x, x + 7, linestyle=':'); # dotted" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "If you would like to be extremely terse, these ``linestyle`` and ``color`` codes can be combined into a single non-keyword argument to the ``plt.plot()`` function:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, x + 0, '-g') # solid green\n", "plt.plot(x, x + 1, '--c') # dashed cyan\n", "plt.plot(x, x + 2, '-.k') # dashdot black\n", "plt.plot(x, x + 3, ':r'); # dotted red" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The Zen of Python, by Tim Peters\n", "\n", "Beautiful is better than ugly.\n", "Explicit is better than implicit.\n", "Simple is better than complex.\n", "Complex is better than complicated.\n", "Flat is better than nested.\n", "Sparse is better than dense.\n", "Readability counts.\n", "Special cases aren't special enough to break the rules.\n", "Although practicality beats purity.\n", "Errors should never pass silently.\n", "Unless explicitly silenced.\n", "In the face of ambiguity, refuse the temptation to guess.\n", "There should be one-- and preferably only one --obvious way to do it.\n", "Although that way may not be obvious at first unless you're Dutch.\n", "Now is better than never.\n", "Although never is often better than *right* now.\n", "If the implementation is hard to explain, it's a bad idea.\n", "If the implementation is easy to explain, it may be a good idea.\n", "Namespaces are one honking great idea -- let's do more of those!\n" ] } ], "source": [ "import this" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Adjusting the Plot: Axes Limits\n", "\n", "Matplotlib does a decent job of choosing default axes limits for your plot, but sometimes it's nice to have finer control.\n", "The most basic way to adjust axis limits is to use the ``plt.xlim()`` and ``plt.ylim()`` methods:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, np.sin(x))\n", "\n", "plt.xlim(-1, 11)\n", "plt.ylim(-1.5, 1.5);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "If for some reason you'd like either axis to be displayed in reverse, you can simply reverse the order of the arguments:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, np.sin(x))\n", "\n", "plt.xlim(10, 0)\n", "plt.ylim(1.2, -1.2);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "A useful related method is ``plt.axis()`` (note here the potential confusion between *axes* with an *e*, and *axis* with an *i*).\n", "The ``plt.axis()`` method allows you to set the ``x`` and ``y`` limits with a single call, by passing a list which specifies ``[xmin, xmax, ymin, ymax]``:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, np.sin(x))\n", "plt.axis([-1, 11, -1.5, 1.5]);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "The ``plt.axis()`` method goes even beyond this, allowing you to do things like automatically tighten the bounds around the current plot:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, np.sin(x))\n", "plt.axis('tight');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "It allows even higher-level specifications, such as ensuring an equal aspect ratio so that on your screen, one unit in ``x`` is equal to one unit in ``y``:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, np.sin(x))\n", "plt.axis('equal');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Labeling Plots\n", "\n", "As the last piece of this section, we'll briefly look at the labeling of plots: titles, axis labels, and simple legends.\n", "\n", "Titles and axis labels are the simplest such labels—there are methods that can be used to quickly set them:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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t2aM7if1IgbjF0aOqi6l5c91J7CsoCCpUgM2bdScRZmS1qhutfv10J7EvVxislgJxi3nz1NiDM+7aWlB9+8qaCGEfBw+qIvHss7qT2N8LL6jteMw6WO0Cvwrz5/p1WL4cXnxRdxJjdO+udni9dEl3EmE28+er1oMZB6dvFxAA7dqZ98wVKRB/WrMG6teHhx/WncQY/v4QEqJWuQphK9euQXS0mgbqKnr3hoULdaewDykQf3KFPtPbvfiied/YQo/lyyE4WG3t4iqCg9Wsre+/153E9qRAAL/8onacDAnRncRYTZvC1auud0qWsJ+FC827huhu3N0hMtKcayKkQABRUWpbb09P3UmM5eammscyWC1s4cwZdbPVqpXuJMbr3Vt115pt6rjLFwirVRWIF17QnUSP3r3VAFtKiu4kwtlFRalFmB4eupMY77HHoGJFNaPJTFy+QHzzDRQrpvZ4d0WVKsFTT8GXX+pOIpyZq99ogbrZMls3k8sXiKw3tStMybubnj1d5wAUYR+HDqkuyzp1dCfRJyxMtSCuXNGdxHZcukCkpsLKlebeLyY/unaF7dvVgLUQhSE3WurM6tat1e8Us3DpArFlC1SvrrpZXFlAgNpeJDpadxLhjNLS1HG2rn6jBWq3ZDMtmjO8QGRmZjJ27FjCwsKIjIzk3LlzOb4+ceJEOnfuTGRkJJGRkSQmJtoty+LFanqaUG9sWTQnCmPLFjVIW7my7iT6tW6t1kP873+6k9hGMaMvuGPHDlJTU1mxYgUxMTFMmTKFTz/9NPvrJ0+eZN68eZQuXdquOf74A7ZtU9v1CrVdQP/+EBsL5cvrTiOciasPTt/Ky0vtYrtiBfzf/+lOU3SGtyCOHDlCo0aNAKhRowYnTpzI/lpmZibnzp1j7NixhIeHs3r1arvlWLNGdauUKmW3SzgVb2/o1Em9sYXIr6tXVQuie3fdSRyHmbqZDC8QSUlJ+Pr6Zn/s7u5O+p+rS65fv84LL7zA+++/z7x581i6dCmnTp2yS47ly9U/pPhLz57SzSQKJjoamjVTJ6wJpWlT1RL/+WfdSYrO8C4mX19fkpOTsz/OzMykWDEVw9vbm169euHt7Q1A/fr1OXXqFNWrV7/jeWJjYwud4fJlN7799n5mz75AbKxzHweVmJhYpNfiVo89BufPB7Jv32UefTTDJs9pJFu+Fs7OqNdi8eLSdOt2ndjYm3a/VmHpeF+0a+fPZ59lMmxYkqHXtTXDC0StWrXYvXs3bdu2JSYmhmrVqmV/7ezZswwZMoR169aRmZnJ0aNHCQ0NzfV5yheho3z9emjbFqpUeaDQz+EoYmNji/Ra3C4iAnbuDHTKg+Zt/Vo4MyNei/h4OHIENmwozi2dAg5Hx/vipZegTx94/31/h5r6GxcXV6DHG14gWrRowVdffUV4eDhWq5VJkyaxYMECKlSoQPPmzenYsSPdu3fHw8ODjh07UrVqVZtnWLkSBg+2+dOaQni4emOPH+/ac9pF3tauhZYtcejioEu9emqdVUwM1KypO03hGV4g3NzcmDBhQo7PValSJfvPL730Ei/Z8VDouDj1j9a6td0u4dTq1lWHJ504AU8/rTuNcGQrV6qZb+JOFou62Vq61LkLhMstlFuzBtq3h+LFdSdxTBYLdOsGq1bpTiIc2aVLanuNdu10J3FcERFqMkxmpu4khedyBWLFCrVniri7rAJhde7xe2FH0dHQpg2UKKE7ieN6+ml1cuOhQ7qTFJ5LFYjz5+HkSdVvKu7u1m4mIXKzcqWsfciPrl3Bjsu57M6lCsTq1dCxo+sdDFRQ0s0k7uXCBTV7qU0b3UkcX1aBcNbWuEsVCOleyj/pZhJ3s2aNGnv4c7mSuIennlLjnd99pztJ4bhMgTh3Dk6fVttriLxldTOdPKk7iXA0K1fKjVZ+WSzO3c3kMgVi1Sq1iZYrHodYGFndTGba214UXVwcHDsm43gF4czdTC5TIKKj1T+UyD/pZhK3i46WaeIFVaOG+n9MjM4UheMSBSIuDk6dUpuKifyTbiZxu+ho6NJFdwrn4szdTC5RINatU3svyeylgpFuJnGr+Hg12CrdSwXXtatztsZdokBER0PnzrpTOKcuXeQoUqFs3AjPPy+L4wrjmWcgJcX51haZvkBcuQLffgutWulO4pzq1VOv4enTupMI3eRGq/CctZvJ9AXiiy8gOBh8fHQncU5ubmpx4dq1upMInZKSYM8e2XupKKRAOCC56ym60FApEK5u82Zo2BACAnQncV716qkjWn/8UXeS/DN1gUhKgl271LQ8UXhNm8JPP6ljFIVrio5WNwqi8LJa4+vX606Sf6YuEFu2QP36UKqU7iTOzdNTzQJzpje2sJ2UFPWz1LGj7iTOLzRUzap0FqYuEGvXSveSrUg3k+vauVPtKVSunO4kzq9JE/j5Z+dpjZu2QKSkwKZNctdjK61bwzffQEKC7iTCaNK9ZDseHqo1vmGD7iT5Y9oCsWsXPPEEPPCA7iTm4OOjxiI2bdKdRBgpI0P9MpMCYTudOjlPN5NpC4TMXrI96WZyPQcOwIMPQqVKupOYR6tWcPCgmtHk6ExZIOSuxz5CQmD7drhxQ3cSYRS50bI9Pz9o3FhNHXZ0piwQX30F5ctD5cq6k5hL2bJQq5YqEsL8rFaZ6GEvztLNZMoCsXat+gcQtifdTK7j3/8GLy81lidsKyRETR1OSdGd5N5MVyCsVrWpmMxeso9OndTrm56uO4mwt40boUMHtY+QsK3AQDV1ePdu3UnuzXQF4scfITUV/vY33UnMqUIFqFgR9u/XnUTY24YNqkAI+3CGbibTFYisN7Xc9dhPp07OM49bFM7583D2LDz7rO4k5pW17UZmpu4kd2fKAhESojuFuYWEqDe2sx1+IvJv40a1oKtYMd1JzKtqVShTRh1H4KhMVSAuXoQfflALuoT9BAWpqcQ//KA7ibAX6V4yhqN3M5mqQHz5JbRooWZeCPuxWNQvj40bdScR9pCYqKaKyyFb9icFwkBy12OcDh1kHMKstm9XuyD7++tOYn61a0NyMpw6pTtJ7kxTIG7eVLtOtm2rO4lraNJEzRi7cEF3EmFrcqNlHItFnVfjqK1x0xSIXbugRg016CPsz9NTded9+aXuJMKWMjLUv6lM9DCOI3fXmqZAyF2P8aSbyXy+/lptzvfII7qTuI5mzeDYMYiP153kTqYoEFmrp6VAGKttW9Vyk837zENutIxXvDgEBzvmVvqmKBBHj4KvL1SrpjuJayldWm3et2uX7iTCVqRA6BES4pjdTKYoEPKm1ke6mczj55/VFNdatXQncT3t2qnZY6mpupPkJAVCFEnWnY8jbxcg8mfjRjWjxs0UvxWcS2AgVK8O+/bpTpKT078V/vtf+N//oEED3UlcU9WqULIkHDmiO4koKrnR0iskxPFa405fIL74QvaM0U26mZxffLw6/yE4WHcS15XVGnekPc6cvkDIXY9+UiCc36ZN0Lw5eHvrTuK6nnpK/f/kSb05buXUBSIxUR3+LXvG6FW/PsTFwblzupOIwpIbLf0sFsfrZnLqArFtmxp78PPTncS1uburbj5HnKYn8paSombQtGunO4lwtOmu+SoQV69eZffu3axdu5a9e/eSnJxs71z5Inc9jkO6mZzX3r3w5JNw//26k4isPc4uXtSdRLlngbhy5QpvvPEGr7zyCtu2bePs2bPs3r2bvn378tZbb3H58mWjct4hPV32jHEkLVuqbRquXtWdRBSU3Gg5Dk9P9bPkKHuc3XPuz8cff0z//v2pVKnSHV87c+YMn3zyCePGjbNbuHv5+mt4+GF1RrLQz9cXGjWCrVuhe3fdaUR+Wa2qQGzZojuJyBISAtHR8OKLupPk0YIYO3YslSpVIvO2VVBJSUlUqVJFW3EA1U8nrQfH4mgDbCJvx46pu9bHH9edRGTJ2uPs5k3dSfI5BtGrVy8u/tkpduzYMcLDw+0aKj+kWex4QkJg82bV/SecQ9bPkcWiO4nIUqYM/O1vsHu37iR5dDFlee2113j55ZepU6cOJ06c4MMPP7R3rjzJnjGO56GHoGJFdVxlkya604j82LABPvhAdwpxu6zWeJs2enPkqwVRtWpVypQpw8GDBwkKCqJCETr+MzMzGTt2LGFhYURGRnLutsnzK1eupHPnznTv3p3d9yihISGyZ4wjkm4m5/Hbb/Cf/8Czz+pOIm4XEqJ2idC9qjpfv2J79uxJREQEX375JYGBgYSFhRX6gjt27CA1NZUVK1YwfPhwpkyZkv21S5cusXjxYpYvX878+fOZPn06qXfZ3lDGHxxT1nRX3W9skbcvvoDWrcHDQ3cScbvHHlPnRMTE6M2Rry6mRYsWUa5cOQD69u1L3bp1C33BI0eO0KhRIwBq1KjBiRMnsr92/PhxatasiaenJ56enlSoUIFTp04RFBR0x/PInjGOqWZNdYDQTz+p3SmF49qwAXr10p1C5MZi+eso0po19eXIcxbTzz//nF0csjz11FP8+OOPjB07tsAXTEpKwtfXN/tjd3d30v8c1UxKSsLvlmXRPj4+JCUl5fo8smeMY7r1jS0cV3Iy7N+vWhDCMTlCd+09WxDDhg1jxowZnDhxgkqVKlG2bFmuXr2afVc/ZMiQAl/Q19c3x0rszMxMiv25FevtX0tOTs5RMG4VGxtb4GubUWJiosO9Fg0bejFzpi89exp7yK4jvha65PVabNlSnKAgH5KT43GQjRHsxlnfF5UqwZkz5Th69CLlyuk5cOWeBSIgIIDx48eTlJTEsWPHSEhIoEyZMowZM4YSJUoU6oK1atVi9+7dtG3blpiYGKrdck5oUFAQM2bMICUlhdTUVM6cOZPj67cqX758oa5vNrGxsQ73WnTtCq+9Bp6e5Slb1rjrOuJroUter8VXX0G3bq7xc+TM74s2beC778rx8su2eb64uLgCPT5fg9Q+Pj74+fkRGBhIsWLFOFmE/WhbtGiBp6cn4eHhTJ48mddff50FCxawc+dO7rvvPiIjI+nRowe9e/dm6NCheHl5FfpaQo/ixeH55x3zEHahTv+TbWqcg+49zvI1SD1o0CCuXLnCAw88AIDFYqFOnTqFuqCbmxsTJkzI8bkqVapk/7l79+50l70anF5W/6kMgjqew4fVYqzKlXUnEXlp3RpeflmNGfn4GH/9fBWI+Ph4li9fbu8swkTatYPBg9VW0tIIdCyyC4HzCAiAOnVg5049/2b56mKqVKkSFy5csHcWYSL33QdPPw179uhOIm4n+5g5F53dTPlqQRw5coRmzZpRunTp7M8dOHDAbqGEOWR1M8mJf47j7Fn4/XeoV093EpFfISEwaZIaOzJ694h8FYht27bZO4cwoQ4dVHH4+GPZDM5RbNyodgt1d9edRORX5cqqRf7tt+p4XyPds0DMmjWLV199lWHDhmG57Sd82rRpdg0mnF/16mr84dgxqFFDdxoBqkAMGKA7hSiorG4mowvEPRsswX/uZ9GkSRNq1apFnTp1iImJ4emnnzYknHBujngIuyu7dg2++UadWCaci65xiHsWiOp/bqazatUqqlSpwsGDBxk2bBg7d+40JJxwfrrncYu/bN0KDRuq0/+Ec6lbFy5fhjNnjL1uvoY8stY9XLt2jXbt2uEm+2yLfHr2WbWl9G+/6U4iNm6U6a3Oys0N2rc3fo+zfP2mT09P5/333+eZZ57hm2++IS0tzd65hEl4eKjFPl98oTuJa8vIUKf9tW+vO4koLB2bYOarQEyePJmHH36Yl19+mStXrjB16lR75xImIt1M+n39NTz4IBThrC+h2fPPq1XwCQnGXTNf01wrVqxIxYoVAWjbtq098wgTat0a+vfXt12AUAVaFsc5txIloGlT2LIFIiKMuaYMJgi7K1lSDbJt3647ieuS8QdzMLo1LgVCGEK6mfQ5fRr++ANq19adRBRV+/aqBXGXk5htTgqEMERIiNpiOiNDdxLXs3Gj+sUikw+dX7lyUK2aOg3QCPKWEYaoVAnuv19tFyCMJZvzmYuRrXEpEMIw0s1kvIQEOHJEzYAR5pD1c2S12v9aUiCEYXTM43Z1mzdDkyZqBowwh6eeUv8/ccL+15ICIQxTp46e7QJcmXQvmY/FYtzNlhQIYRhd2wW4qrQ0tf+SrJ42H6O6a6VACENJN5Nx9u2DKlWgfHndSYStNW4MP/2kDn+yJykQwlA6tgtwVevWQWio7hTCHoza40wKhDBUiRJq0HTLFt1JzM1qVQWiUyfdSYS9GNHNJAVCGE66mezv++898PaGxx/XnUTYS+vWsGcPXL9uv2tIgRCGy9ouQHaNt58tW4rTqZOcBW5mpUrBM8/Ajh32u4YUCGG4Bx6ARx81brsAV7R1a3HpXnIB9u5mkgIhtJBuJvv55ReIj3ejXj3dSYS9hYSogerMTPs8vxQIoUVICKxfb8x2Aa5m/Xpo2fIm7u66kwh7q1IFypaFQ4fs8/xSIIQWQUHqrseI7QJczbp10KrVTd0xhEFCQ2HtWvs8txQIoYXFAp072++N7aouXoTvv4fnnkvRHUUYpHNniI62T2tcCoTQJjRUvbGF7WzcCK1agZeX7iTCKDVqqHNW7NEalwIhtGnYEOLiZPM+W5LFca7HYrHfzZYUCKGNu7v6ZSbdTLaRlAR790LbtrqTCKNldTPZmhQIoZW93tiuaOtWaNAASpbUnUQYrUEDuHDB9q1xKRBCq2bN4NQpiI3VncT5SfeS63J3h44dbd8alwIhtPL0hHbt1C83UXhpafDll2oBonBN9miNS4EQ2slspqLbuxeqVoUHH9SdROiS1RqPi7Pdc0qBENq1aqXOiLhyRXcS57V6NXTrpjuF0MnTU01QsGVrXAqE0M7HB5o3l72ZCisjQ/U9d+miO4nQzdbdTFIghEOQ2UyFt38/PPwwVKqkO4nQrVUr+PZb27XGpUAIh9C+Pezerebyi4JZtQq6dtWdQjgCHx8IDrbdUaRSIIRDCAhQK6s3b9adxLlkZKiWl3QviSy2bI1LgRAOIzQU1qzRncK5HDwIgYFqBpMQ8FdrPDGx6M8lBUI4jNBQdRSpPc/YNZvVq6V7SeRUqhQ0amSbSR9SIITDuP9+dcaudDPlT2amanFJgRC3694dVqwo+vNIgRAOJSzMNm9sV3DokBq7qV5ddxLhaDp2hD174OrVoj2PFAjhUEJD1aZzMpspb9K9JO6mZElo2lQdP1sUUiCEQylbVu1M+eWXupM4NqtVCoS4t7AwWLmyaM8hBUI4HOlmytvhw+DtDU8+qTuJcFQhIWoRZUJC4Z+jmO3i5O3mzZuMGDGC+Ph4fHx8mDp1KqVLl87xmIEDB5KQkICHhwdeXl7MmzfPyIjCAXTqBEOGwLVr4O+vO41jWrYMwsPVaWJC5MbPT21hs24dvPhi4Z7D0BbEsmXLqFatGkuXLqVTp07MmjXrjsecO3eOZcuWsXjxYikOLqpUKWjcWPZmupuMDNXCiojQnUQ4uqJ2MxlaII4cOUKjRo0AaNy4MV9//XWOr1++fJlr164xYMAAIiIi2L17t5HxhAOx1TQ9M9q7F8qVg8ce051EOLp27dRiyvj4wn2/3bqYVq1axaJFi3J8rkyZMvj5+QHg4+ND4m1L/dLS0ujbty+9evXi6tWrREREEBQURJkyZewVUziojh1h0CD44w81lVP8ZdkyaT2I/PH1VRv4rV0LL71U8O+3W4Ho1q0b3W7boH7QoEEkJycDkJycjP9tHcxly5YlPDycYsWKUaZMGR5//HH+85//5FogYuWMSgASExNN+1o0bFiKhQtv0r37jXw93syvRZaUFFi9uhzbtl0kNjbzro9zhdciv1z9tXj++eJ8/rkPbdsWvBlh6CB1rVq12Lt3L0FBQezbt4/atWvn+PrBgweJiopi7ty5JCcnc/r0aSpXrpzrc5UvX96IyA4vNjbWtK9F796waJE3Q4aUytfjzfxaZNmwAZ5+GurUKXfPx7nCa5Ffrv5avPACjBoF7u7lgYIdN2foGERERASnT58mIiKCFStWMGjQIADee+89jh8/TpMmTahYsSLdu3enX79+DBs27I5ZTsJ1hITAN9/AhQu6kzgO6V4SBVWihPpZKsyYnsVqtVptH8m+jhw5ckfrw1WZ/e6od2+oVQsGD877sWZ/LZKT1ZnTp0/Dfffd+7Fmfy0KQl4LtQnm+PHwyScF+90pC+WEQ3vhBYiK0p3CMWzYoFaZ51UchLhd8+bw668F/z4pEMKhBQfDb7/BqVO6k+gn3UuisDw8CnfKnBQI4dDc3aFHD2lFXLoE+/apVeZCFEbdugX/HikQwuFFRqoCkXn3WZ2mt3SpGmiUrUeEkaRACIcXFKT2lTlwQHcSfRYuhD59dKcQrkYKhHB4FstfrQhXdOyY2iqhWTPdSYSrkQIhnEKPHup4zZs3dScx3qJF0KsXuMlPqzCYvOWEU3joIbUeYt063UmMlZYGS5ao9SBCGE0KhHAa/frB/Pm6UxhryxZ49FGoWlV3EuGKpEAIp9GpE8TEwH/+ozuJcWRwWugkBUI4jeLF1VjEggW6kxgjPh527lRnYwihgxQI4VT69VMFIiNDdxL7+/xzaN8eSpbUnUS4KikQwqkEBcEDD8C2bbqT2JfVCnPmwIABupMIVyYFQjgdVxis3rtXbTPy7LO6kwhXJgVCOJ2ICNU3f/Gi7iT2M2cOvPKKWiQohC5SIITT8feHLl1g3jzdSezj4kXYvFmtHhdCJykQwim99hp8+imkp+tOYnsLF0JoKJTK30mrQtiNFAjhlGrWhEceUYfomElmJnz2mQxOC8cgBUI4rUGD4OOPdaewre3bwde3cHv3C2FrUiCE0+rcWZ0098MPupPYzocfqvO3ZXBaOAIpEMJpeXpC//7wySe6k9jGjz/C0aNyrKhwHFIghFN75RV12trVq7qTFN1HH6m/T/HiupMIoUiBEE6tfHlo0wbmztWdpGiuXIHly2HgQN1JhPiLFAjh9EaMgBkzIDVVd5LCmzsXOnaEcuV0JxHiL1IghNOrWROeeALWrvXWHaVQUlPVbKzBg3UnESInKRDCFEaOhNmzfcnM1J2k4D7/HJ58UhU6IRyJFAhhCs2bg6enlU2bdCcpmPR0mDwZ3nxTdxIh7iQFQpiCxQKvvprElClqq2xnsWIFPPggNGqkO4kQd5ICIUyjXbubXL6sdnp1BpmZMGmStB6E45ICIUyjWDEYNw7eess5WhHr1oG3N7RsqTuJELmTAiFMJSwMEhPVdtmOLCNDFbOxY2VbDeG4pEAIU3Fzg7ffVr94HbkVsXQp+PlBSIjuJELcnRQIYTqhoWp20Pr1upPkLiVFFbApU6T1IBybFAhhOm5uavB39GhIS9Od5k5z5qiFfY0b604ixL1JgRCm1KYNVKwIs2bpTpLTH3+o4jVpku4kQuRNCoQwJYsFpk2DiRMhPl53mr+MG6f2XPrb33QnESJvUiCEaT35pJrVNG6c7iTK8eOwbBm8+67uJELkjxQIYWpvvw2rV8Phw3pzWK3qiNS334ayZfVmESK/pEAIUytTRnU19eundzvwRYsgKQlefllfBiEKSgqEML0ePeChh+C99/Rc//x5dWbFv/4F7u56MghRGFIghOlZLDB7Nnz4IZw4Yey1rVZ1bvbf/w41ahh7bSGKSgqEcAkVKqgWRFgYXL9u3HVnzYKLF+H11427phC2IgVCuIw+faBWLfjHP4y53rffwvjx6qxpDw9jrimELUmBEC7DYlF39Pv3w7x59r1WfDx0765WTVetat9rCWEvxXQHEMJIfn6wcaM6oKdSJXUSna3duKEWw4WFQefOtn9+IYwiLQjhcqpVg5UrISICjh2z7XNnZKhZU488oo4SFcKZSYEQLqlJE9Xd1KoVHD1qm+dMS4NevdR6hwUL1KaBQjgz6WISLqtrV7UuoU0b1aJo0qTwz5WUBD17qm3GN2wAT0/b5RRCFy33ONu3b2f48OG5fm3lypV07tyZ7t27s3v3boOTCVcTGgpRUWpA+aOPCnfI0M8/Q/36atX22rXqGFEhzMDwAjFx4kSmTZtGZmbmHV+7dOkSixcvZvny5cyfP5/p06eTqnN/BOESWrSAr79WhSI4GE6dyt/3paSocYaGDdVCuPnzpeUgzMXwAlGrVi3Gjx+f69eOHz9OzZo18fT0xM/PjwoVKnAqvz+tQhRB5cqqSHTooGY4hYXB1q2579/0yy+qMGR9z+HD8MorcjqcMB+7jUGsWrWKRYsW5fjcpEmTaNu2LYcOHcr1e5KSkvDz88v+2MfHh6SkJHtFFCIHd3cYOlRtjTF/vtp5tUsXqFIFAgNVsThzRs1Uat8eNm2Scx2EudmtQHTr1o1u3boV6Ht8fX1JTk7O/jg5OTlHwbjVkSNHipTPTOLi4nRHcBi2ei2ee079dy/p6eDIb0N5X/xFXovCcahZTEFBQcyYMYOUlBRSU1M5c+YM1apVu+NxtWvX1pBOCCFci0MUiAULFlChQgWaN29OZGQkPXr0wGq1MnToULy8vHTHE0IIl2SxWgszsU8IIYTZOdVaz8zMTMaOHUtYWBiRkZGcO3dOdyQt0tLSGDFiBD169KBr167s3LlTdyTt4uPjadKkCWfOnNEdRas5c+YQFhZG586dWbVqle442qSlpTF8+HDCw8Pp0aOHy74vjh07RmRkJADnzp0jIiKCHj16MG7cuFyXGtzOqQrEjh07SE1NZcWKFQwfPpwpU6bojqTFhg0bCAgIYOnSpcybN4933nlHdySt0tLSGDt2LMWLF9cdRatDhw7x73//m2XLlrF48WJ+//133ZG02bt3L+np6SxfvpzXXnuNGTNm6I5kuLlz5zJmzBhSUlIAmDx5MkOGDGHp0qVYrdZ83Vg6VYE4cuQIjRo1AqBGjRqcMPp4MAfRunVrBg8eDIDVasXdxc+xnDp1KuHh4dx///26o2h14MABqlWrxmuvvcaAAQNo2rSp7kjaVKpUiYyMDDIzM0lKSqJYMYcYbjVUhQoVmDlzZvbHJ0+epG7dugA0btyYgwcP5vkcTvWqJSUl4evrm/2xu7s76enpLveP7+PjA6jX4x//+AdDhgzRG0ij6OhoSpcuTaNGjfjss890x9EqISGB2NhYZs+ezfnz5xk4cCBbtmzB4oIr+EqUKMFvv/1GmzZtSEhIYPbs2bojGa5Vq1acP38++2Or1Zr9XvDx8SExMTHP53CqFsTt6yQyMzNdrjhkiYuLo1evXnTs2JGQkBDdcbRZs2YNBw8eJDIykh9//JFRo0Zx6dIl3bG0CAgI4LnnnsPT05PKlSvj5eXFlStXdMfSYuHChTz33HNs3bqV9evXM3r06OyuFlfldsv2wsnJyfj7++f9PfYMZGu1atVi3759AMTExOS6RsIVXL58mb59+zJixAi6du2qO45WS5YsISoqisWLF/P4448zdepU7rvvPt2xtKhduzb79+/HarVy4cIFbty4QUBAgO5YWvj7+2cvsi1ZsiTp6elkZGRoTqXXE088kb2Lxb59+3jmmWfy/B6nuv1u0aIFX331FeHh4VitViZNmqQ7khazZ8/m2rVrzJo1i1mzZgFqQMrVB2ldXbNmzTh8+DBdu3bFarUyduxYlx2f6tOnD2+88QY9evQgLS2NoUOHUqJECd2xtBo1ahRvvfUW06dPp3LlyrRq1SrP75F1EEIIIXLlVF1MQgghjCMFQgghRK6kQAghhMiVFAghhBC5kgIhhBAiV1IghBBC5EoKhBBCiFxJgRBCCJErKRBC2MCSJUsYNmwYoFasLlmyRHMiIYpOVlILYSOvvvoq/v7+pKamMn36dN1xhCgyKRBC2EhMTAxhYWFER0fz5JNP6o4jRJFJgRDCBlJTU3nhhRfo0qULa9asISoqCk9PT92xhCgSGYMQwgY++OADmjZtSlhYGI0aNWLatGm6IwlRZNKCEEIIkStpQQghhMiVFAghhBC5kgIhhBAiV1IghBBC5EoKhBBCiFxJgRBCCJErKRBCCCFyJQVCCCFErv4faTA/NU++vwcAAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, np.sin(x))\n", "plt.title(\"A Sine Curve\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"sin(x)\");" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "When multiple lines are being shown within a single axes, it can be useful to create a plot legend that labels each line type.\n", "Again, Matplotlib has a built-in way of quickly creating such a legend.\n", "It is done via the (you guessed it) ``plt.legend()`` method.\n", "Though there are several valid ways of using this, I find it easiest to specify the label of each line using the ``label`` keyword of the plot function:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, np.sin(x), '-g', label='sin(x)')\n", "plt.plot(x, np.cos(x), ':b', label='cos(x)')\n", "plt.axis('equal')\n", "\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Aside: Matplotlib Gotchas\n", "\n", "While most ``plt`` functions translate directly to ``ax`` methods (such as ``plt.plot()`` → ``ax.plot()``, ``plt.legend()`` → ``ax.legend()``, etc.), this is not the case for all commands.\n", "In particular, functions to set limits, labels, and titles are slightly modified.\n", "For transitioning between MATLAB-style functions and object-oriented methods, make the following changes:\n", "\n", "- ``plt.xlabel()`` → ``ax.set_xlabel()``\n", "- ``plt.ylabel()`` → ``ax.set_ylabel()``\n", "- ``plt.xlim()`` → ``ax.set_xlim()``\n", "- ``plt.ylim()`` → ``ax.set_ylim()``\n", "- ``plt.title()`` → ``ax.set_title()``\n", "\n", "In the object-oriented interface to plotting, rather than calling these functions individually, it is often more convenient to use the ``ax.set()`` method to set all these properties at once:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.axes()\n", "ax.plot(x, np.sin(x))\n", "ax.set(xlim=(0, 10), ylim=(-2, 2), xlabel='x', ylabel='sin(x)', title='A Simple Plot'); # focus on metadata only" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Simple Scatter Plots\n", "\n", "Another commonly used plot type is the simple scatter plot, a close cousin of the line plot.\n", "Instead of points being joined by line segments, here the points are represented individually with a dot, circle, or other shape.\n", "We’ll start by setting up the notebook for plotting and importing the functions we will use:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "plt.style.use('seaborn-whitegrid')\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Scatter Plots with ``plt.plot``\n", "\n", "In the previous section we looked at ``plt.plot``/``ax.plot`` to produce line plots.\n", "It turns out that this same function can produce scatter plots as well:" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 10, 30)\n", "y = np.sin(x)\n", "\n", "plt.plot(x, y, 'o', color='black');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "The third argument in the function call is a character that represents the type of symbol used for the plotting. Just as you can specify options such as ``'-'``, ``'--'`` to control the line style, the marker style has its own set of short string codes. The full list of available symbols can be seen in the documentation of ``plt.plot``, or in Matplotlib's online documentation. Most of the possibilities are fairly intuitive, and we'll show a number of the more common ones here:" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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HKyt86OqK5RIJwvv0QeK1a+oib2im2I89OjoagYGB+Oabb7BlyxZERUXhySefxJNPPmnw49MaKuyEkDZxtLJCeJ8+cM3Lg2TYMKMUdcA0+7Hb2tpi3bp1mDp1Kl5++WVMmjTJQEejbaiwE0LapOrePSReuwbJsGFGHbGbaj92iUQCR0dH/Prrr1AoFE2+Dy7QyVNCiM4azqn3s7FRT8s0PqHKBSH2Y79+/To+/PBDbN26FW5ubkhKStJ7X+1BhZ0QorPsmhqNEbpqzj27pobzLELrx15fX48lS5Zg3rx58PDwQExMDA4dOoSsrCw9v0P9cdaP/Y9+/TCya1eNP9mq7t1Ddk0NAhrMaXFFiD2hhZgJEGYuyqQbyqQ7IeYSfD921WVSqj/ZVH/SjezalasIhBDSIXBW2BteJnX1zh2Na2E7ksqsSr4jEELMHKdz7A0vkwrv06fDFXUAqMqq4jsCIcTMcVrYG18mxceZdEIIMXecXcfe8DKphtMyHWE6pjKrUj1SL1tRpt7uOMYR3cfwuzYiIcT8cFbYW7tMio+rYrjUfUx3jQLuGqd7X43Vq8Nw82YhRCKRehtjDI8+6oUPPlhn0JyEEPPAWWFvrng7WlmZfVFvr8GDR+LSpc3w9papt+Xn2+KZZ97hMRUhRMjoBiWOOY5xbNPzAwLEOH/eE6q7DRgDLlzwxIQJQXpnkEjKMHPmCvj6xmLmzBWQSMq0fxEhJozvfuwAtz3ZqVcMx9o6py4SiRAUtBSFhaHw9pahoMAWYnG4xtRMW0gkZfD3T0Zp6QoAdgDqcPp0LI4cWQRX17567ZN0TJVZlXSOCLr1Ywe47clOhd0EBASIkZmZBC+vPFy44IklS/QfrUdHb2tQ1AHADqWlKxAdnYQvv4xt7UsJ0VCVVWW0wm6q/dgb5k9JScHOnTs1nstVT3Yq7CZANWr//PPXMGuW/qN1ACgvV+JhUVexQ0VFy/01SAtEIsD4HTk6LFPsx96aBQsWtO+AtAEVdhMRECDG2bP57ZpbBwBnZwsAddAs7nVwcqLTLW3WAYs6l5fummI/9o0bN+LQoUOQyWT466+/MHnyZPVrd+/O3bQVFXYTIRKJsHx5Qrv3s2rVHJw+Hasxx+7uHotVqxa1e9/E/LXn0t22MsV+7AsWLMCCBQuanYrhEg3TWiG0hXsNkcfVtS+OHFmEGTOS4OsbixkzkujEKTFJQuzHLhRU2FshtI6Uhsrj6toXX34Zi+PHV+DLL2MFWdSF9qZKmmrrpbuGJrR+7A0NGzaMt9E6AIBpcf/+fRYdHc2mTp3KZs6cya5evarxeFZWFgsODmavvPIKi42NZUqlssk+8vPztb0M58rLy3V6XqVCwRZeusQkMhlbeOkSq1QoeM3EZZ625DI01fep+v4af85HJm0ok26EmIkxYebSt3ZqHbEfPXoUCoUCe/bswZIlS5CQ8HCet7a2FomJidi0aRP27t0LZ2dnVFaaV1taoXWkFFoeY6E2z4ToT2thLygowKhRowAAgwcPRklJifqxX375BR4eHli7di2mT5+Onj17alzLaQ6E1pFSaHmMqaO8iRFiaFoLe21tLezt7dWfW1paor6+HgBQWVmJvLw8LF26FKmpqdi+fTskEonx0nKsYUdKJ0tL1GzahMhLl3grpkJaSJgLHelNjBBD0lrY7e3tUVdXp/5cqVSqLztydHSEp6cnevXqBTs7O/j4+ODXX381XlqONexI+UZ0NL7u0wc1O3bwsnBv4zwAvwsJG1tHexMjxJC0Xsfu5eWFEydOYMKECSgqKoKHh4f6sQEDBuDy5cv4+++/0bVrV5w9exZTp05tdj8VFRWGS20AUqlUa6YhAGS3bmHrwYPY360b7g8Zgu9lMgzNzMSQgADOM6nyyJrZbszjq8ux2hgejvorV5ps7+TmhgWJiW1+zaO1tfivjY3G9/tfGxsckEjwgr29Tpm4Rpl0I8RMgHBz6UNrYff390d2djamTZsGxhji4+ORlpYGFxcX+Pn5YcmSJXj99dcBAOPHj9co/A0JbfVvXVckL71yBcmFhaiZNg0AUDNyJP7f7t142c8P7m5uvGTimi65LMvLser0afXnCgALHB3hZGWl1/c0u5ltTgCeaUMmrlEm3QgxEyDMXDdu3NDr67QWdgsLC6xcuVJjm7u7u/rjgIAABBhh9CoU761di6tTpmhsu/ryy3hv7Vp89/nn/IQyAW/07o2vwsLwZFoaVjLWan8bhUKBBVFR2Bgf3+RuQ0JI29ENSlqsj4hAv2+/1djW78ABrI+I4CmR8G21s8O3s2fj/n/+g9LJL8PddzD2HdgH1kJvlTeio7Hd2RnzY2I4TkqIeaLCroW7mxti/PzQLScHANAtJwcxRpiGMRelAFaNHInql14CANSPfwmSx3pj5o7ZGB48vEmB35qejm8dHXF/yBDs79oVaXv38pScmDO+F9rgcpENgJqA6WRucDCyIiLwVWEhptTUYG5wMN+RBOu9xx/H1ffe09wY+i7kicXIG52H1z5+Dfm/5CMhNgGlV65g1fHjqP7n/EX1iBFYuXs3nvf2pjdOgaI1eJvSZaENLhfZAKiw6yx11Sp0+mcemDTVxcMDcQBc796F46ZNqAoLe/jg9k/R+ZEqDD4/DOFLwxE08UHrYTp/YXq4WoPXFBfacHR0xOjRo5GSkqJeUCMsLEzdVZKrRTYAKuw6s7a2xpakJL5jCFbk5s3qj4fs3YuwnBxUjxgBHPsfXG/+gcTFOxE0MUhjpLc+IgIlH32Eq/+M2AE6fyF0DVfzUq0z0t5VvVpiigttiMVifPPNN/D09ER1dTVycnKwcuVKODg4GPz4tIYKOzE41dTVzvx8PC/5HSeOFzV7VYzq/IXqTYDOXwifodfgbY0pLrQhFovxyiuvIDIyEgcPHoSvry/nRR2gwk6MRD11tXV7q7/0dP7C9BhyDd7WmOJCG87Ozujfvz+ysrKQmZmJqKioNn3PhkJXxRCjUE1d6XJdeuqqVQitqMDmRvdLEGF6uAavg9FG67oQ6kIbU6dORWpqKu7evdvkrwauUGEnvGvLmwARhoAAMTw9F7Z7Dd72EOpCG2PHjkV5eTleeeWVdu2nPUSspbtGDKigoIC3d66WCPH2YSFmAoSZizLphjLpToi59K2dNGInhBAzQ4VdQGKTYlu99Z4QQnRBhV1ASm6UIPSb0GZvvSeEEF1RYRcYWT8Z8gbmUYFvjKcrLwgxRVTYhUj0sMC/9vFrWLZyGd+J+EdvboTojG5QEiIG2JbZwrPWU6O3CiGE6IJG7AJje9UWw84Pw46gHchNz4V4kpi3G0AIIW2nVCqxadMmjbWiuUaFXUAGPj6QCjohRsBlP/YjR44gNTUV6enpzT7OBSrsArJi6Qoq6MQkqO7QpBP7Tfuxb9myBUlJSdi1axfu3bunU792Q6M5dkJIm2VkZGDDhg0YOnQoxGKxwfdviv3Ye/TogZ9//hkA4Ovri4MHD+L777/HlClT1I9zhQo7IaRNGGNISkqCVCpFYmIigoKCjPJXpin2Y//iiy8wffp0AMDs2bPxwQcfYPLkyerHuUKFnRDSJhkZGSguLgbwoPhmZmYaZdRuiv3YNzdYcObf//43vvvuu/YeBr1QYSeE6Ew1WpfJHiyNJ5PJjDZqN8V+7EJBJ08JITprOFpXUY3auSbUfuxCYBIjdloZnRBhyM7Oho+PT5PfxVOnThllOqY1UVFRiIiIwKRJk2BpaQkfHx/88MMPOvVjnzJlCkaPHo2FCxdi7dq1CAwMhFwuh6enZ7v7sQuBSfRjP3hwHy5dCm1mZfQdCAjQ74dJiL2XhZgJEGYuyqQbyqQ7IeYy637sAQFinD/vqW4XoloZnc/VWwghRKhMorA/XBn9wYkMY66MTgghps4kCjugOWqn0TohhLTMZAq7UFZGJ4QQoTOJq2JUAgLEOHs2n0brJkwiKUN09DaUlyvh7GyBVavmwNW1L9+xCDErJlXYRSIRli9P4DsG0ZNEUgZ//2SUlq4AYAegDqdPx+LIkUVU3AkxIJOZiiGmLzp6W4OiDgB2KC1dgejobTymIsT8UGEnnCkvV+JhUVexQ0VFyzeUEELajgo74YyzswWAxqvK1MHJiX4MTRVjDPv2HUJYWCLfUVrF5UIbLZk1axaSk5ONkqEx+o0inFm1ag7c3WPxsLjXwd09FqtWzeExFdGHqqAPH74YoaEiFBbW8h2JN60tpFFRUYFPP/0UMpkMXbp0UT/X2Ezq5Ckxba6ufXHkyCJERyehokIJJycLrFpFJ05NCWMMGRmHkZR0GMXF4yGTfQJABJEo16CvY6oLbQBAfX09srKysGfPHly/fh2BgYGwtraGl5cXPD09DXqcWqK1sCuVSsTFxeHSpUuwtrbG6tWr0bdv3ybPmT9/Pvz8/PDqq68aLWwTIhFAS3OZFFfXvvjyy1jtTySCtGxZIjZsuAGp9EFBNyZTXGhj//79+OyzzzBkyBDMnz8fQ4cOVT9nwYIFRjhKzdNa2I8ePQqFQoE9e/agqKgICQkJ2Lhxo8Zz1q9fj5qaGqOFbBEVdUI4tWZNOIYO/QGJiYtRXDwOMtk4GKvAm+JCGyKRCBYWFrCwsOD1Jkqthb2goACjRo0CAAwePBglJSUajx86dAgikUj9HEKI+RKJRBCLxyEo6EVkZj4s8MZoEmuKC21MnjwZEydOxIkTJ7Bx40b88ccfCAoKwpw5c2Bpadmm7789tJ48ra2thb29vfpzS0tL1NfXAwAuX76MgwcP4t133zVeQkKI4KgKfG7uJ9ixQwQvL3vtX2RgQl1ow9LSEi+88AK2bNmCTZs2obq6WuPNggtaR+z29vaoq3t4iZpSqVS/c+7fvx9//vknQkNDUV5eDisrKzg7O+P55583XmJCiGCoCrxYPI7z1zaFhTb69OmDxYsXG2x/utK60Mbhw4dx4sQJJCQkoKioCCkpKfjiiy+aPC85ORk9e/Zs9uRpQUEBHn/8ccOlNgCpVAoHBwe+Y2homOn336/jo48y8McfIvTuzfD++2K4uDzBey6hoEy6oUy6E2KuGzdu6LXQhtYRu7+/P7KzszFt2jQwxhAfH4+0tDS4uLjAz89P5xcS2sokQlwtRZVJIinDzJnpGj1Vzp3jr6eKkI+VkFAm3QgxEyDMXDdu3NDr67QWdgsLC6xcuVJjm7u7e5PnLVq0SK8ApKmWe6ok0aWChBCt6M5TAaKeKoSQ9jDbws4YU9+UYGqopwohpD3MtlJkZGRgw4YNyMzM5DtKm5l6T5XKrEq+IxDSoZllYWeMISkpCVKpFImJiSY3alf1VJkxIwm+vrGYMSPJpBajqMqq4jsCIR2aWTYBy8jIQHFxMYAH/SYyMzMhFot5TtU21FOFEKIvsxuxq0brMpkMACCTyUxy1G5qKrMqIYmTQBInQdmKMvXHNC1DhKCj9WM3uxF7w9G6iqmO2k1J9zHd0X1Md/XnrnGuPKYhxhIWE4aRPiMhniTmtcmVkDTsx56RkYFevXrhueeeg4WF5riZ+rG3Q3Z2Nnx8fDR+6BhjOHXqFBV2QtqpsKwQm69tRtKOJCydvdRoBd5U+7H369cPX3zxBVavXo0pU6ZALBbjscceUz9XMP3YTc26dev4jtDhOY5x5DsCMRKRSARZPxnyWB5Cvwk1aoE3xX7s3t7e8Pb2xq1bt/DNN99g7ty56Nu3Lz799FNh9WMnpK0aTskQMyWCusC/9vFryP8lHwmxCQZ9CVPsx67SsCc7l+16VaiwE0LajgG2ZbbwrPVE+NJwBE0MMvhLmGI/9qKiImzduhW//vorpkyZgq1bt6qnYrhkdlfFEEKMhzEG26u2GHZ+GHYE7UBuei5vJ1KF2I/9t99+Q2BgIA4fPoy3336bl6IOCHDEXplVSX/KEyJQXn298M7QdxA0MYj3q2KE2I89ODhY7681JK392A2hoKBA557CkjgJJ5fKCbFFpxAzAcLMRZl0Q5l0J8RcbamdDdFUDCGEmBlBTMVUZlWq+4uUrShTb3cc40jTMoQQ0kaCKOx01yIhhBgOTcUQnTHGsG/fIYSFJfIdhRDSCsEVdrprUXhUBX348MUIDRWhsLCW70iEkFYIYiqmIZpTFw7GGDIyDmPNmu9w8eLLkMk+ASCCSJTLdzRCSCsEV9hJ26kKcHZ2MdatCzfYfpctS8SGDTcglaYAoE5+hJgKwU3FEN0Ze4pkzZpwpKWNh5fXf2FrewgA9bQnponvfuxc9mIHaMRuklQj9KSkwyguHm+0KRKRSASxeByefXYgTp8uQWLiYhQXj6NFSzqwhPnzcffy5Sbbu3h4IHLzZh4S8a9hP/aWcNmLHaDCbpIeTpE8KOjGpirwQUEvIjPzB5w6ZW/01yTCdPfyZcT9+GOT7XEGfh1T7cdeWlqK5cuXQ6FQgDGGV155BTNmzOC0FztAhd0guF5VZs2acAwd+oN6BC2TjQOXBV4sHmf01yLEFPuxb9myBWPHjsX8+fNx69YtxMfH49VXX+W0FztAhd0guFpVRqXxCJqmSIg5MsV+7P7+/oiIiMC5c+cwfPhwfPDBB02WyOMCFXYD4HJVmcavS1Mk/Fi9Ogw3bxZq/P/K5XI88cSz+OADWsXLEEyxH7uvry8OHz6MnJwc5Obm4rPPPsPu3bvh4uLSpu+9veiqGENSrSoz8MGqMstWLuPmZf8p8Ia81JG0bvDgkejbNx+BgT+q/7m7n8OQIc/xHa3DEGI/9iVLluD//u//EBAQgNjYWNjb2+PGjRt6709fHXLEvnp1GK5fP43OnTurtzHG8OijXu0bbXGwqgwRhoAAMTIzk+DllQeRCGAMOHfuX1i61Lz/z7t4eDR7orSLhwfXUQTZj33hwoVYvnw59uzZA0tLS7zwwgv4z3/+o/f+9CW4fuxcOHhwHy5eDIWPj0y9LT/fFs88swMBAeI272906GjkW+Q/KOizw/VehECI/aABYeYSQqaDB/fh0qVQeHvLkJ9vi96912PmzDd4zdSYEI5TY0LMBAgzF/Vjb4OAADHOnv0XVG9pjAEXLnhiwgT9Rltefb14XyaMcC8gQIzz5z3VPz++vhP4jkQIgA5a2EUiEV588U0UFj44MVJQYAuxOFzvgrxu5Toq6B2QSCRCUNBSfP65Q7t+fggxtA5Z2AFg7NgAjdGWvqN10nEoFArMW7oUCoVCvS0gQAxPz4X080MEpcMWdhptkbZ6Izoa252dMT8mRr1NJBJh+fIE+vkhgtJhCztAoy2iu63p6fjW0RH3hwzB/q5dkbZ3L9+RCGlRhy7sNNoiuii9cgWrjh9H9fDhAIDqESOw8tgxlF65wnMyQprXoQu7KanMquQ7Qof13tq1uDp5ssa2qy+/jPfWruUpESGt01rYlUolYmJiEBISglmzZqGsrEzj8W3btiE4OBjBwcHqu7mI4VVlVfEdocNaHxGBft9+q7Gt34EDWB8RwVMiQlqntbAfPXoUCoUCe/bswZIlS5CQkKB+7Nq1azhw4AB2796N9PR0nDp1ChcvXjRqYEK45u7mhhg/P3TLyQEAdMvJQYyfH9zd3HhOxp/mrhASMr4W2li5ciWSk5N1WozDkLS2FCgoKMCoUaMAAIMHD0ZJSYn6sd69e+OLL76ApaUlAKC+vl7jNn3SPpVZleqRetmKh38pOY5xpLVhOTY3OBhZERH4qrAQU2pqMDc4mO9IvHojOhpfOTvjfkwMtjUY7HVEuiy0octzDElrYa+trYW9/cOugZaWlqivr0enTp1gZWWFHj16gDGGjz76CP3794erq6tRA3ck3cd01yjgrnF0bPmUumoVOkVFYWN8PN9ReKVxhVBODtL27jX4G52pLrRRW1uL5cuX4+LFi3j00UdhaWkJb29vPPLII+rncEFrYbe3t0ddXZ36c6VSqdE+Uy6XIyoqCnZ2dhp9iRurqKhoZ1TDkkqlJpWJz7ymdqyMadXixfjrr7+afawjHKerZWWI++EHVM+cCeDBFUKxX36Jp594Av369jVYptu3b+PcuXPYtGkTnnrqKURERCAlJQXr1q2DTCbDK6+8Am9vb/z+++9Yt24dLCwssGvXLiQnJyM+Ph4ymQzV1dVITU0FACQkJKC6uhrvv/8+/v77b6xYsQLV1dXYvn077t69i5SUFNTW1mL37t1YsWIFwsLCUF9fj969e+P9998HgBa7PlZUVODDDz9ERUUFPvvsMyiVSmzduhXV1dWYP38+PDw8NJ7DBa2F3cvLCydOnMCECRNQVFQEjwZd3BhjWLhwIYYNG4b58+e3uh+hNdcxZMMfQ60D2Vomm0k26O7Ez/SLEJsjUSbdGDrTmytW4JpYs1HetaAgrNm2Dd99/rnBMl27dg19+vTB6NGjATxYycjBwQF9/3nzsLe3h6urKyIjI3Hy5EmNhTacnJxga2uLESNGqF/H1tYWmZmZ6oU2+vXrB+DBVLNUKsXZs2c1FtpwcnJCp06d4Ovrq96HLgttnDt3DlFRUXB2doazszPGjx8PBwcHvf8P9G35q7Ww+/v7Izs7G9OmTQNjDPHx8UhLS4OLiwuUSiV+/vlnKBQK/PTTTwCAxYsXY8iQIXqFMVVcrANJc+pECNZHRKDko49wddo09TZjXSFkigttANBYyUx1/pFrWgu7hYUFVq5cqbHN3d1d/XFxcbHhUxFCBEl1hVBYTg6qR4zg9QqhhgttyOVypKam6rTQxtGjR5GSkoKwsDD1QhvDhw9XL7Rha2uL1atX65Vp1KhR2LdvH5599llIpVIcO3YMkxvdA8EFukGJENImc4ODMbm6GpY8XyEUFRWFM2fOYNKkSQgJCUGfPn1w/fp1nRba2LVrFwoLC7Fw4UI4OzsjMDAQc+bMAWOsXQttLFq0CJ06dcJLL72Et956S2PqmlOMA/n5+Vy8TJuUl5cbbF+xo0cz9qCtu8a/2NGjectkSELMRZl0Y6xMcrmcvbZkCZPL5W3+WiEeJ8aEmUvf2tkhl8YjDzW3KDMzxDKBxKxZW1tjS1IS3zFIC6iwG4CQ1oFsq8GDR+LSpc3w9m68TOA7PKYihLQHFXYDaMsljULT3KLMFy54YskSamVMiKmik6cdnGrBEUMtE0gI4R8VdtJkUWZaeIQQ00aFndAygYSYGZpjJwAejNrPns03mdG6k7PzgxMChJAmaMROAHCzTKAhV4GqKC832L4IMTdU2AlnaBUoQrhBhZ0ICmMM+/YdQlhYIt9RdGJqeUnHQHPsxKh0XQWKMYaMjMNISjqM4uLx8PGp5Tpqm5haXtKxUGEnRqVtFajGBVIm+wSACCJRLsdJdWNqeUnHRIWd8GrZskRs2HADUumDAil0ppaXdEw0x0444zjGscm2NWvCkZY2HsOGLYat7SEAwr6E0dTyko6pQxZ29s9KUIyugzYY9k8f69aOaXOrQIlEIojF45Cb+wl27BCpC6ZQ/29MLS/pmART2MNiwrDvwD5OfkEyMjKwfft2ZGZmGv21OoqMjAxs2LBB72PauGB6edkbOKFhmVpe0rEIprAXlhUi9JtQDA8ebtQCzxhDUlISamtrkZiYSCMtA1AdU6lU2u5jqiqY69aFGzCh8ZhaXtIxCKawi0QiyPrJkDcwz6gFPiMjQ71Oa3FxMY3aDYCrYyqVS5F7LRdSudQo+yfEXAimsKuJoC7wr338GpatXGawXatGljLZg0UlZDIZjdrbiatjKpVLMSptFJ7f9jxGpY1CrYKuGyekJcIr7AywvWqLYeeHIW1pGtbErDHYrhuOLFVo1N4+XB3TkpslOH/rPOqV9bhw6wIuVV4y6P4JMSeCuY6dMQbbq7bwrPVE+OxwBE0MMnhDquzsbPj4+EAkEkEul6Nz585gjOHUqVMQi8UGfa2OouExVTHGMR346EAM6DUAF25dQP9e/fF096cNtm9CzI1gCrtXXy+8M/QdoxR0lXXrHi7OXFFRAScnJ6O8TkfS8Jgak0NnB/w09yecv3UeA3oNgPQ2zbMT0hLBFPZ1K7kpEMR0OXR2wLNPPAsAkIIKOyEtEd4cOyGEkHahwk4IIWaGCjshhJgZKuyEEGJmqLAT0g60ghIRIirshOhBVdCHD1+M0FARCgvpTlgiHIK53JEQU0ArKBFTQIWdkDagFZSIKTDpwp4wfz7uXr7cZHsXDw9Ebt7MQyJi7tasCcfQoT8gMXExiovHQSYbByrwRGhMurDfvXwZcT/+2GR7HPdRBE8ql6LkZgkGPjoQDp0d+I5jslT914OCXkRm5sMCTx1CiZDQydMOoHHLW+pn3n60ghIRMq2FXalUIiYmBiEhIZg1axbKyso0Hk9PT0dQUBCmTp2KEydOGC0o0V/jlrfnb53nO5LZoBWUiBBpnYo5evQoFAoF9uzZg6KiIiQkJGDjxo0AgFu3bmHnzp3IyMiAXC7H9OnTMXLkSFhbWxs9OF9McV6/ccvbAb0G8B2JEGJEWgt7QUEBRo0aBQAYPHgwSkpK1I+dO3cOQ4YMgbW1NaytreHi4oKLFy9i0KBBxkvMM1Oc12/c8pbm2Akxb1oLe21tLeztH84fWlpaor6+Hp06dUJtbS0cHB4WCTs7O9TWcnejRhcPj2YLahcPD84ymIqGLW8JIeZNa2G3t7dHXV2d+nOlUolOnTo1+1hdXZ1GoTc2oU59EEIIn7QWdi8vL5w4cQITJkxAUVERPBqMhgcNGoT169dDLpdDoVCgtLRU4/GGCgoKDJfaQG7cuNHmr5n08cdo7juZBMN8j/pk4oIQc1Em3VAm3Qk1V1uJmJYLcJVKJeLi4nD58mUwxhAfH4+TJ0/CxcUFfn5+SE9Px549e8AYw5tvvolx48ZxlZ0QQkgztBZ2QgghpoVuUCKEEDNj0MIuxJuZtGXatm0bgoODERwcjJSUFEFkUj3n9ddfx9dffy2ITD/++COmTp2K4OBgxMXFcXILvbZMW7duRVBQEMRiMY4cOWL0PA2dPXsWs2bNarL9+PHjEIvFCAkJQXp6uiAyHTx4EMHBwZg2bRpiYmKgVCoFkUslOjoaSUlJHCZqOdO5c+cwffp0vPrqq3jnnXcgl8t5z3TgwAEEBgZCLBZj165duu2MGdDhw4dZREQEY4yxX375hb311lvqx27evMkmTpzI5HI5q6mpUX9sbK1l+v3331lgYCCrr69nSqWShYSEsF9//ZXXTCoff/wxCw4OZrt27TJ6Hm2ZpFIpCwgIYLdv32aMMbZ582b1x3xlqq6uZqNHj2ZyuZxVVVWxMWPGGD2PyubNm9nEiRNZcHCwxnaFQsFeeOEFVlVVxeRyOQsKCmK3bt3iNdOdO3eYn58fk8lkjDHGwsLC2NGjRznJ1Foula+//ppNnTqVJSYm8p5JqVSyl19+mV29epUxxlh6ejorLS3lNRNjjI0cOZJVVlYyuVyu/vnSxqAjdl1vZnJwcFDfzGRsrWXq3bs3vvjiC1haWkIkEqG+vh6dO3fmNRMAHDp0CCKRSP0cLrSW6ZdffoGHhwfWrl2L6dOno2fPnujRowevmWxsbODk5IQ7d+7gzp07EIm467Do4uKC5OTkJttLS0vh4uKCbt26wdraGt7e3jhz5gyvmaytrbF7927Y2NgAAGc/49pyAUBhYSHOnj2LkJAQzvK0lkkikcDR0RHbtm3DzJkzUVVVBTc3N14zAcDTTz8NqVQKhUIBxphOP+sGLewt3cykeoyPm5lay2RlZYUePXqAMYa1a9eif//+cHV15TXT5cuXcfDgQbz77rtGz6FrpsrKSuTl5WHp0qVITU3F9u3bIZFIeM0EAI8//jgCAgIQGBiI2bNnGz2Pyrhx49T3cjTE5w17LWWysLBAz549AQA7d+6ETCbDyJEjOcnUWq6bN2/is88+Q0xMDGdZtGWqrKzEL7/8gpkzZyItLQ2nT59Gbi43C6i0lAkAnnrqKYjFYgQEBGDMmDHo2rWr1v0ZtG2vEG9mai0TAMjlckRFRcHOzg6xsbFGz6Mt0/79+/Hnn38iNDQU5eXlsLKygrOzM55//nneMjk6OsLT0xO9evUCAPj4+ODXX381+ptga5lOnjyJmzdv4tixYwCAefPmwcvLi9d2FnzfsNcSpVKJxMRESCQSJCcnc/rXTUsOHTqEyspKzJ8/H7du3cLdu3fh5uaGoKAg3jI5Ojqib9++cHd3BwCMGjUKJSUlGD58OG+ZLl68iKysLBw7dgy2trYIDw/H//73P7z00kutfp1BR+xeXl44efIkADR7M1NBQQHkcjmkUmmrNzNxlYkxhoULF+Lpp5/GypUrYWlpafQ82jK9//772Lt3L3bu3InAwEDMmTPH6EVdW6YBAwbg8uXL+Pvvv1FfX4+zZ8/iySef5DVTt27d0KVLF1hbW6Nz585wcHBATU2N0TO1xt3dHWVlZaiqqoJCoUB+fj6GDBnCayYAiImJgVwux4YNG9RTMnybPXs2MjMzsXPnTsyfPx8TJ07ktagDQJ8+fVBXV6c+SZ+fn4+nnnqK10wODg7o0qULOnfuDEtLS/To0UOnn3ODjtj9/f2RnZ2NadOmqW9mSktLU9/MNGvWLEyfPh2MMYSFhXEy19daJqVSiZ9//hkKhQI//fQTAGDx4sVG/2XUdpz4oC3TkiVL8PrrrwMAxo8fz8mbsrZMOTk5mDp1KiwsLODl5cXpFEND3333HWQyGUJCQhAZGYl58+aBMQaxWIzHHnuM10wDBw7Evn374OPjg9DQUAAPiqq/vz+vubieV29Nw0wffvghlixZAsYYhgwZgjFjxvCeKSQkBNOnT4eVlRVcXFwQGBio9evpBiVCCDEzdIMSIYSYGSrshBBiZqiwE0KImaHCTgghZoYKOyGEmBkq7IQQYmaosBNCiJmhwk4IIWbm/wMb89w78NkvJwAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rng = np.random.RandomState(0)\n", "for marker in ['o', '.', ',', 'x', '+', 'v', '^', '<', '>', 's', 'd']:\n", " plt.plot(rng.rand(5), rng.rand(5), marker, label=\"marker='{0}'\".format(marker))\n", "plt.legend(numpoints=1)\n", "plt.xlim(0, 1.8);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "For even more possibilities, these character codes can be used together with line and color codes to plot points along with a line connecting them:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, y, '-ok');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Additional keyword arguments to ``plt.plot`` specify a wide range of properties of the lines and markers:" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, y, '-p', color='gray',\n", " markersize=15, linewidth=4,\n", " markerfacecolor='white',\n", " markeredgecolor='gray',\n", " markeredgewidth=2)\n", "plt.ylim(-1.2, 1.2);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Scatter Plots with ``plt.scatter``\n", "\n", "A second, more powerful method of creating scatter plots is the ``plt.scatter`` function, which can be used very similarly to the ``plt.plot`` function:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(x, y, marker='o');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The primary difference of ``plt.scatter`` from ``plt.plot`` is that it can be used to create scatter plots where the properties of each individual point (size, face color, edge color, etc.) can be individually controlled or mapped to data.\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Let's show this by creating a random scatter plot with points of many colors and sizes.\n", "In order to better see the overlapping results, we'll also use the ``alpha`` keyword to adjust the transparency level:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rng = np.random.RandomState(0)\n", "x = rng.randn(100)\n", "y = rng.randn(100)\n", "colors = rng.rand(100)\n", "sizes = 1000 * rng.rand(100)\n", "\n", "plt.scatter(x, y, c=colors, s=sizes, alpha=0.3, cmap='viridis')\n", "plt.colorbar(); # show color scale. In parallel with `plt.legend()`" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Notice that the color argument is automatically mapped to a color scale (shown here by the ``colorbar()`` command), and that the size argument is given in pixels.\n", "In this way, the color and size of points can be used to convey information in the visualization, in order to visualize multidimensional data.\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "For example, we might use the Iris data from Scikit-Learn, where each sample is one of three types of flowers that has had the size of its petals and sepals carefully measured:" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.datasets import load_iris\n", "iris = load_iris()\n", "features = iris.data.T\n", "\n", "plt.scatter(features[0], features[1], alpha=0.2, s=100*features[3], c=iris.target, cmap='viridis')\n", "plt.xlabel(iris.feature_names[0])\n", "plt.ylabel(iris.feature_names[1]);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## ``plot`` Versus ``scatter``: A Note on Efficiency\n", "\n", "Aside from the different features available in ``plt.plot`` and ``plt.scatter``, why might you choose to use one over the other? While it doesn't matter as much for small amounts of data, as datasets get larger than a few thousand points, ``plt.plot`` can be noticeably more efficient than ``plt.scatter``.\n", "The reason is that ``plt.scatter`` has the capability to render a different size and/or color for each point, so the renderer must do the extra work of constructing each point individually.\n", "In ``plt.plot``, on the other hand, the points are always essentially clones of each other, so the work of determining the appearance of the points is done only once for the entire set of data.\n", "For large datasets, the difference between these two can lead to vastly different performance, and for this reason, ``plt.plot`` should be preferred over ``plt.scatter`` for large datasets." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Visualizing Errors\n", "\n", "For any scientific measurement, accurate accounting for errors is nearly as important, if not more important, than accurate reporting of the number itself.\n", "For example, imagine that I am using some astrophysical observations to estimate the Hubble Constant, the local measurement of the expansion rate of the Universe.\n", "I know that the current literature suggests a value of around 71 (km/s)/Mpc, and I measure a value of 74 (km/s)/Mpc with my method. Are the values consistent? The only correct answer, given this information, is this: there is no way to know.\n", "\n", "Suppose I augment this information with reported uncertainties: the current literature suggests a value of around 71 $\\pm$ 2.5 (km/s)/Mpc, and my method has measured a value of 74 $\\pm$ 5 (km/s)/Mpc. Now are the values consistent? That is a question that can be quantitatively answered.\n", "\n", "In visualization of data and results, showing these errors effectively can make a plot convey much more complete information." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Basic Errorbars\n", "\n", "A basic errorbar can be created with a single Matplotlib function call:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "plt.style.use('seaborn-whitegrid')\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Here the ``fmt`` is a format code controlling the appearance of lines and points, and has the same syntax as the shorthand used in ``plt.plot``.\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 10, 50)\n", "dy = 0.8\n", "y = np.sin(x) + dy * np.random.randn(50)\n", "\n", "plt.errorbar(x, y, yerr=dy, fmt='.k');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "In addition to these basic options, the ``errorbar`` function has many options to fine-tune the outputs.\n", "Using these additional options you can easily customize the aesthetics of your errorbar plot.\n", "I often find it helpful, especially in crowded plots, to make the errorbars lighter than the points themselves:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.errorbar(x, y, yerr=dy, fmt='o', color='black', ecolor='lightgray', elinewidth=3, capsize=0);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Density and Contour Plots\n", "\n", "Sometimes it is useful to display three-dimensional data in two dimensions using contours or color-coded regions.\n", "There are three Matplotlib functions that can be helpful for this task: ``plt.contour`` for contour plots, ``plt.contourf`` for filled contour plots, and ``plt.imshow`` for showing images.\n", "This section looks at several examples of using these. We'll start by setting up the notebook for plotting and importing the functions we will use: " ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "plt.style.use('seaborn-white')\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Visualizing a Three-Dimensional Function\n", "\n", "We'll start by demonstrating a contour plot using a function $z = f(x, y)$, using the following particular choice for $f$ (we've seen this before in [Computation on Arrays: Broadcasting](02.05-Computation-on-arrays-broadcasting.ipynb), when we used it as a motivating example for array broadcasting):" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "def f(x, y):\n", " return np.sin(x) ** 10 + np.cos(10 + y * x) * np.cos(x)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "A contour plot can be created with the ``plt.contour`` function.\n", "It takes three arguments: a grid of *x* values, a grid of *y* values, and a grid of *z* values.\n", "The *x* and *y* values represent positions on the plot, and the *z* values will be represented by the contour levels.\n", "Perhaps the most straightforward way to prepare such data is to use the ``np.meshgrid`` function, which builds two-dimensional grids from one-dimensional arrays:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "x = np.linspace(0, 5, 50)\n", "y = np.linspace(0, 5, 40)\n", "\n", "X, Y = np.meshgrid(x, y)\n", "Z = f(X, Y)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Now let's look at this with a standard line-only contour plot:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.contour(X, Y, Z, colors='black');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that by default when a single color is used, negative values are represented by dashed lines, and positive values by solid lines." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Alternatively, the lines can be color-coded by specifying a colormap with the ``cmap`` argument.\n", "Here, we'll also specify that we want more lines to be drawn—20 equally spaced intervals within the data range:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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ddBHJyckcOHCAsrIyqqur8Xg8hMNh/H4/drudtrY2rFYr4XDYACxJihETLKhWZy+bjnSDHAWLHcGVhmDXJEtVUSAS0P6f1dErhwwC0tFo1CBgKSkp+P1+kpOTiUQidHR0MGbMGPbs2cOoUaNoaGigs7OTiy66CJvNxqefftrn2owdO5bFixcPeu30OWi1WsnMzDR2h4qi0NXVRUJCAsFg0Dg+SZL+90EaHaTNFlSpB5x7mDSqCrIEYs9BxQGAqqoGSOuv7XY7oVAIh8NBJBJBlmWSkpLw+/0AjBo1ikOHDg15OKmpqbS0tBg/6+Bss9mwWq10dXUZ7+kXUmeUOlDpx6UoinZjoGoLjCMJQn7UWPTcxkYKaRLPIKFfOB2kTSaTwaTD4TBOp5NQKISiKCQlJdHZ2WksOqBJOadOnerDgM8777wh7ZL6Z+qTUAdtQRCwWCxIkmQwfEVRDEass1/QAFsHaV1LT05O7rN9029IfTz1sNlseL1eZFk2bmKPx0NDQwOiKFJWVsaJEyeQZZkJEyZQXV0NwPTp06msrDQWsfnz57Nq1ao+i8pg4XK5WLJkCe+//z4tLS3MnTuXzz//HKfTidfrpbOzk0AggMlkoqOjA7PZTCAQQFYUZJNVW5wFETG9ANHhhHA3ttFTETrrsWZk4yrIJrBvJ3nXLOTII//FhP+6n87d+zn+wissee9FTqzdxI5n/jHkMaaOKmHRK0+ycvmPEHNzybt6IVu/82PKf/NrDaiLx9C+rQpFFogEIXJ0jwbU7adR2k9pQB3owNwD1ImJiZjNGrN2Op2YTCYyMjLo7OykoqKCzZs3I0kSN910E1u2bOHEiRP89Kc/5ciRI9x///1873vf47777uPhhx/m8ccfx+fzceTIEY4fP47VauX666/nwIEDVFVVMWvWLLKzs9m8eTNjxozhyJEjxu6vsbERr9dLe3s7kUjEyL/oTDsqScQQUSwOTVYEiAZRw92okSBqqEsDaJNFA++4XbiiKMYuXAdsfVeqEx09HxIMBiksLKSuro5Ro0Zx9OhRLBYLI0eO5MCBAwiCwPLly1mxYsVZ76f4GDlyJLt37wagtLSU6upqBEEgPz+fmpoa3G63ITuFw2Hj2M8lvj6QFkRURUG0WFDlXrlDMPfoxnIM9O2+KgMCgqABlCiKfVik2Ww2AEPfJsSzyfz8fBoaGojFYoMeTmZmpsG4AEPmAG170traaoB0QkKCkdjSL7a+7R9U8nClQnu9troPEaqqQrBTA/beNzXZRx+6QV6bzWZDO9blCV36cLvdxqJlsVhIS0vrc77A0LaeHu1fZ9Px4xu/WOnfr99Q8YCtj5O+fdN15vhzlyTJ+H00GjUmkn6ubrebWCxGd3e3wbDr6+ux2+3k5eVx5MgRPB4POTk57Nmzh6KiIrxeL9u2bQO0CeFwONi/f/+Q10GP/Px8li5dyrvvvktnZydz587ls88+w+VyGYtle3s7FouF9vZ2BEEgFAohK6oG1AkeBFVFTMnE5M1C7WzGWjoeqxAEFDzTptK1rZKcqxdy4Gc/Z+Lvf0ntGytoq9zMVW89y5Y//IXaLzYNeYx5F0xh0StP8vEt92AdO5qchZex5dYfUvLgg7Rt24V95ETaq3YiKxAOKkSO7UW1JRJraUTpaEKJhhG62zArEmaTSGJiIiaTCbfbjdVqxW634/F46O7upqyszLDZ3njjjUiSxPvvv8/y5ct54oknePLJJ/n5z3/OTTfdxCWXXEJFRQXXXXcdxcXFgLbYX3/99axbt45jx44xdepUxo4dy9q1axk5ciQNDQ2EQiG8Xi/Hjh0jOTkZURRpaWkxEsrBYNBglZIkEZViKKIF1ZoAFps272wJYE9EiE8o9mOkPp/PyIGEw2HsdjuSJGGxWBAEwbi+LpeLQCBAcnIy4XCYaDRKXl4eDQ0NAJSXl+Pz+Yyd6rnErFmz2LBhA7IsM3fuXCorKwkGg1RUVLB3716KioqoqakhPT2dlpYWnE6nIRueLb5GuUPs1aQlCcGiMWpMFlBVTe4Qe1i1omggpfZuVQRBQJZlLBaLkamNRCIGy3W5XAYo6ckBfVAHioFAur29HeiVQlwul+GccDqddHd343Q6jSSmDtKG5CGatcUGwJmisePOxiG3sERDGgvvYdKD/d94Ng300aej0ajBAnQw1WUPPbKzszl16tTZL1Rc6ICvv9ZBWp88OkjrY6Aff3+QjsViRk4hPuITOlar1bi2kUgESZIMwNedNLp2mJCQQH19PV6vF4fDwYkTJygvL6e7u5uGhgZmzpzJ8ePHaWhoQBAELrzwQjZs2DD0dYiLgoICbrzxRj755BNaWlq44oorqKysJDs7G7/fj9PppLW1FavVaizs4XAYSVaQTRZwp2sEIyEZc3YxdDVjzi4iId1NrPEkaZdfTvf29WTOv4JDv/o15z31CNUPPIrc1s7Cv/+Rj2/7Me1Hjg95jHmzprL4redYfcf9CCNGUHjjNWy97R5KH3yA5nWbSJgwk/avdqBi1jTqmv1gSyTWXI/a2aIBdVcLZkXCYtJYpD7WJpPJSOrKskxKSgpJSUmsXLmSiy++mIqKCv76178aTDglJYWCggLGjBnD9OnTmTNnTp+tusfjYenSpbz33nucPn2aiooKZsyYYThyfD4fzc3NFBUVcfz4cYLBIF6v19Cs9Z1LOBzGZDIZO9loNEpMARkBWVGMhV53PEUiEURRxGQy0dnZid1uN4iJDtI6a4deAqTr1IIgGLiQk5Nj4InJZGLUqFHnvPCDlszPzMxk586dpKWlMXbsWL744gvKy8upr6/H4XCgKIpBONvb2yksLDynz/4fAGlLb+IwFtVAu0fuEEwmVFXp0aQFhDhdWmes+lY7XpcOBAIkJSUZIAKae0G3swwUbrfbmPiAkVUOhUKkpqbS2tpqMDmfz3dG8lDXpfWtkwbSJm3BUXqYdXKmlvAIdAw+MCEfON1nANhAP8dLHvqNqmtr+o5CP87+IB1/k51rJCYmGmMaLycNxaT1RVVPsJlMpgGTIErPpIpnMaIoGll3QRCMCScIgqEVBoNBUlNTcTgcNDY2UlhYSGdnJz6fjwkTJrB//35UVeWiiy5i3bp1RCIRSkpKMJlMHDx4cNBzjcVivPPOO4YElpWVxc0338y6deuoqalhzpw5rFu3zphUKSkpNDc3Y7PZ8Pl8xGIxJEkipoAimMCdhWixIFhtmPNGIkT8iE4XrtHlRA7sJO3y+QR3fUnanIs48eSTjP/Pn7L11h+QOiKfC3/zI/4571s07x38eAGyp05gyfsv8vmPHiKakkLx8mVs//79jPzNQzSuXINr+iW0batCNdsJtYeJ1h7SgPr0CdSudpRoCMHfrAG1qO3GdKAGDVx1wA6Hw1RUVPDJJ5+Qnp7O1VdfzcqVK/nwww+JRCJnvZfy8/OZN28er7/+Ou3t7RQXFzN37lzWr19PRkYGsixz8OBBysrKkGWZmpoavF4v4XDYkBwFQcDn8xn3pA6uugyqz0U9h6Inrbu6ugw5Q///ukspGo0ajFW/b/W5pI9Be3u7keTTY/To0f8SSAPMnj2bL774AoB58+axdu1aZFmmvLycAwcOMGLECGpqasjKyvqXCNXXBtKqIIAsg8mkJQwtVtRoVGPSitIjd+hMWtaYtNDLzHQmrcsM8Q6P/kwaNJCura0d9HgEQejDpuNXTV3uAIzkoc4q40FalmVkWR5A8oj1fKYInlzobtW8z/3HRFEg1DWk1NHn//fTpeOThzrD1xmvLtHoOvR/h0nrYwtnyh2hUKgPSMczaV0S0tmzft3iz0PXrnXW3f/amM1mY/Lo+ndycjKhUIhQKERaWprhBigrK+P48ePYbDaKioqorq4mJyeHgoICNm7caLDpysrKAdm0qqq8+uqr7NmzhyeeeMK4j1JTU1m+fDnbt2/nyJEjTJ48mfXr1zNhwgSOHDli3D8Wi4VAIGDINZIqao4PdyaiPQEEMOeNRDSpIIVxTzufyP6tpF46j8ihKlKmTqb5vXcpXr6MLTd/n1FXXcGc3/6ctxcup2HrziGvUcb40Sz9+GUqf/l7gjY7OYuuoOrHv2bkI/9Jw9sf4L54Pm1bvwJ7AsEWP9H6Y2B1ETt1HDXQiRIJQmcTJkXCKmJYC/WkVnp6OpIkkZOTQ1NTE+eddx7bt2/n1KlT3H777QiCwLPPPsvx40Mzf9BsarNmzeLll1827H5XXnklW7Zswel04vF42LRpE06nk7y8PI4dO4aiKCQmJtLQ0GA4rWw2G11dXXR0dBj3mdlsxmw2GyCtY0YoFCIWi5GUlGQQn+7ubkRRNNxR/WUFfVcKWq5K91brCU04N3NC/5g1axZfffUVwWCQrKwsysrKqKysNBKUugsrMzOT5ubm/31NWgAQRY1R92HSFlRV6XF3mDUWrWpyh9CzQsaD9Lky6YKCgiGZNGiSR2Njo/GzDtKJiYlGAYnOSHVWGa+x6jYefbuv+Z3NWhJUP2+zFZKzoaNBM93HR9iv2YRM8X7uXmdHPKDoN1g8k9aPQZc74rV5URT7sN/s7Oz/FpOOB2n9s3S5Q3eZxMsdukQRz57jX+s6oT6Zhgo9SQkY0lJKSgrBYJBwOExmZqaxW8jNzeXIkSMUFRUhyzLHjx/n/PPPp6WlhWPHjhk+2MOHD5/xPWvWrKG+vp6f//znTJkyhaeeeso4V7fbzfLly9m/f7/hNd+6dStjx45l//795OTkcPr0aQRBIBwOGwlcSTBrQO1Kx+TygBLDnFOCOSkJtaMR9/QLiRzYhufC2cTq9uMaXUZoTxXuMaP46ns/pXzxFcz7y295b+l3qV23echxSh1VwnWrXmXzY88Sy8oidfp5VD/4fyj/z4c5+Y83SLn8Ktq2foWQkEKgsQ3p1HGwJRBrOIoa7kYJB8DXiEmNYRUU7HY7FouFpCSNPKSmphKNRg372MiRI+ns7GTVqlVccMEFzJ8/n/fee49Vq1adYc/sH+eddx4XX3wx//jHP2hpaSE1NZVFixaxZ88e/H4/U6ZM4dChQ9TW1jJy5EiCwSANDQ1kZmYaCcbW1lbsdjuJiYlEIhHa2tpoaWmhtbWVjo4OOjs76erqoru7m1AohNvdu1OVJInW1lZSU7Wil/5yh27j1Z0rOiaIothnDpWVlXHy5EkjyXcu4Xa7qaioMBL2V155JZ9++im5ublGfkMURfx+Py6Xq4/7bKj4+hKHiopgMmkJRKkfk5blHneHSWPRipY41G148ZnawZh0PCABhg9zqORhbm4udXV1xs8ej4e2tjYEQTDcHzqT1lmfXiEXDAYNTSs+W9wrefSugoI9EZxu6DxtvKfKEvhbIK7qUPvFwEnDeL+n7irRFy39mOLHA/pKFJmZmZw+fZp/JeL/Pjk52QBE/fz1RUpn9b2noPZJIMZb9PTfxYO2KkVQYxFUWUJVYtqiHZc87A/UycnJBnPNysqiqakJj8eDzWajtraW8ePHc/ToUYLBILNnz2bTpk1EIhHmzJnDp59+esY9cezYMebOnYvdbmfRokWMGTOGhx56iK1btxqT9vrrr2fTpk2G3XPXrl2Ulpayb98+0tPTaW1tNSSP7u5uZFnWPNQmEzhTNA91LIopNRdrZg5q83HcUy9AOroL93nng68Be04WVjVALBii6u77KZwzk2+8+hQf33IPp3cNzdpSRhSw9KOX2PifTyCUl5E0spTqXzxG2a9/xYkXXiL5km/SvvUrRFcqXSdPIzXVoZodxOqOoEoR5GAndDYhKhJWQTZkJ4fDgdVqNRJuqamphEIhUlJSKC0t5aOPPkKSJL773e8SDAZ5/vnnz0hQ94+JEycyd+5cXn31VTo7O0lKSmLRokWcOnWKrVu3Mm3aNCwWC9u2bSM7O5v09HQOHjyIz+cjOzsbt9tNc3OzITelpaWRlpZGcnKyYSvU3WButxuTyUQ0GqWpqYna2lqjGE0HeLfbTTAYNHag8Q4lQ8rsmQP6fLBarXi9Xpqbm4c81/6xePFiXnnlFTo7O8nLy6OkpIR169YxceJEvvzySyoqKti+fTv5+flnJZl6fH1yBz0gLYoGa9Z80mYNlHW5Q5Z7NGl0jO4DTLr9rAOv/9gAACAASURBVH9BS3+Q1hMaQw2inlHVI77AJSMjg9OnT+NwOFBV1Sga0RNHOkjFYjEDkHolj75sGtDcHlIENawV3dBxCpzJCLa+1VvaLmLwYY8fC93tIkmSoRPr46JnqfXdhZ4MPdctFNCnICZeAtKZhr5I6RNCB2P9OwbyqcYXJmlvxLSxUlSISVr5bzgA4S7UUJchE+nadTQaxWQyGYzaZDLh8XhobGykqKiI7u5uAoEAo0aNYseOHXi9XoqKiti2bRtlZWWkpaWxbt26PudZXl5u+MgFQeAb3/gG3//+91m1ahVPP/204Z+/5ZZb2Lhxo+GC2Lt3LyUlJRw6dAiPx4PP5zMsod3d3T2MusdD7UjClJqLoMYQ3anYCkpQm4/imjAF5dQRnCNKsYhBMJvwlmYTbm1j+x33kXP+RC594jesuOZ2fCfqGCo8pUUs/eglvvzNn7BMHI9n4liqf/E7yn71a2pf/AfJly2mfXsVYnIG/mMnibW3oAgWYicPgaIid7aCvwUxFsVGDKvVYtjyXC4XZrPZkBvsdjstLS3Mnj2bgwcPUllZybx585g1axavvPIKlZWVZxR8xMf48eOZNm0ar776KqFQCKfTycKFC0lKSuLDDz8kOzubkpIStmzZYtgszWYze/fuNRJ5LpeLxsZGTpw4QWNjozH+giBgt9uNxOepU6eoq6vDbDZTVFREamoqoC3OWVlZRkFUUVERdrud06dPk56ebshp+o4ifscIGFLj2WLnzp0GzowbN46LL76YJ554AlVVWbhwIZ999hlTpkzh8OHDeL1eo12CXkF8tvj6mLTaA9KKogEzAmpMc3cYUocgoKqyAVLxiUOdfYmiiCRJho83PqGnZ3f1yMnJGVKHLSgo4NSpU0biQ08YAqSnp9Pc3GxoobourZdn65rVwJKHZsXrK1eIWiKxswn8PQuHK3XAcWIAcOv9nL5MWneZ6BKEyWQyNON4CchqteJ0Ov8l21C81zp+AYsH6XA43Mc7rV+rvqfUF6T76NCxKJhtCFY7gs2JYE9EcLg0z7EtQasoiwSgp9rRZDIZE1FfmBMTE7FarbS2tlJWVmYUCiQlJbF//36mTp3KyZMnjdLe6urqPvmK8vLyM3z1hYWFPPjgg+Tn5/Pwww+zceNGA6h1DTUxMZHdu3cbrgS3201XV5dR2tvV1YUsy8RMVlSLHaxOTGn5WrrF6cJWPAraTpAwqgIx0IrFnYwrK4loawupFYVIwRDb/uNeRlwxm2k/up13F3+bUNsQSWjAWz6CpR+9xIZf/QGxYhQZsy9g588eoeyXv+DE838n5bKr8FXvRvRk4z9wBLnbjyxDrP4wYELuaIRAO4IUxqJIBjALgkBKSgqqqpKamkosFiMnJ4cDBw4wceJEkpOTWbFiBR6Ph+985zvU1dXxwgsvDDn/ZsyYYZTk6/fOjBkzmDx5MitXriQcDjNt2jQOHjzIvn37SE1NZdy4cQDs3r2brq4uo6Ra78HT1dVFY2Mjx44do6amhoaGBux2uwHOOqFoampCURSys7Npb2+nvb2dESNGAFpnz8zMTAD8fj9utxvonXt6nAtIr1mzhjvvvJM//OEPxnvf+ta3aG1tZdWqVWRnZ1NaWsq2bduYNWsWa9euZebMmWzZsuWM8vvB4msEaTT3hiwjWCygaNWHCKLGoEwWDZzkmDYxtdJDI/OvMzAdpHXGaLPZiMVixGKxPswRzp4ss1qt5OTkGBNWZ5uqqhp+RUVRzgDpeFanJx90PcmQPARRqySMC8GWANYECHVCypm9PbRxOjcmHe8b15m07mkeyDsOWvnzuepc0Js01V93d3cTi8WM3YteTAOcAdLx0kz863iQVpWeXZPpzMoqQRAQRBHBYgezpQeoFcO/rTPqhIQE/H4/aWlpRKNRwuEwI0aM4OjRo4waNYqWlhba29uZMWMGGzZswG63s3DhQt5//33j2LOzswmFQmeMjdlsZtGiRdx7772sWrWKtWvXkpyczM0338xXX32F1WolJSWFvXv3kp6eTkNDg7GA67uZYDCILCsaUNsSwGxFTC9ENJsRLDZsIyoQOuux5xdgtcqoUgTP+BIip07hGZGBKghsvfUHjL9lKSULLmHFtXcQ7eoe8rp5R5ZwzYcvseGXv0coGUHuN+ex4ycPU/qLBzn+7F9JnvtNug4cgpRsOnfvR5FixAJB5KYaVEzIrQ0Q8iNEAliUCJaecdbvg1gsRmZmJoFAgIKCAmpra7HZbFx44YWsX7+effv2sXTpUmbMmMHrr7/OmjVrBtWqL730UpKTk3nnnXeMxb20tJT58+dTVVXF3r17mT59OlarlQ0bNrB//35SU1MZM2YM0WiU6upqGhsbDTtuVlYWhT2NtnJzcykqKsLj8aCqKh0dHdTU1LBz506ampoMUN63bx8jR440JLmmpiajSVxnZ+egIK0TtMFixYoV/PGPf+SFF14wCnxAmyv33Xcfr7zyCidPnmT+/PmsWbOGcePG0d7eTigUIiMj45wTk1+f3NHDpNWYjGDqteHpjFrQJ2pPHwtU1ejf0R+k9fJk3cY1mORxLsmy4uJiYyuil8jqZao689T1WKfTqdmsenzT8X7p+N4agiBoHbtikrZLiA93JqQW9Z7vGQOl/EtMur/cAZyRRNSjf5Xl2SK+tFwv125vbzfK5G02m3Hu+nEY2rx+OnHXMP41oLFok3XgxSr+nM02bTwjQVRZy+br4673nwgEAmRlZdHe3o7NZsPj8VBXV8eECRPYvXu3wbZ2795NWVkZxcXFrF69GtB2agOxaT1yc3P54Q9/yOrVq9m2bZsB1Nu3bzd2WnV1dSQkJNDe3m54+AOBgOF9leWeqkSHG8Fk0qoS7XYEswlbyVhMoWYsXi/O1CSijfV4zxuF1N6OOysJc6KDzTfdyYyffo+0inJeu2QZnbX1Ax6rHqmjNKBed///QcnJIf+6b/YC9TN/wT1nEcHak5CcRefOXagmG9H2NpS2U6iKitxyUuv3EezUqhNFwZA+dOeH3vPD6/WiKAo1NTVcfvnlBINBVqxYQWpqKnfccQfd3d2DOkB0eUmWZd5//30jX+D1elm8eDFdXV2sWbOG/Px8Zs+ejdPpZNOmTQazrqiowG6309HRwf79+6mqquLgwYM0NDQQDAZpbm7mwIED7Nixg8bGRux2O6NGjWLChAk4HA4DH3JycgCMvjF657n+IB2/S4wnKf3jpZde4qWXXuKFF16goqKCq666ijfeeKPPPXXLLbfw2GOPkZGRQWFP98C5c+fy6aefMnXq1D5zd6j4Gpm0gmA29YCzxUgeIqAxabOlx37Xw6RVRfuZXmDSk02602Og5OG/WsBRXFzcp7dDf8nj9OnTfRil7vLQQVoURaOvRbzkIfT0D0AK9ZU9RLG3ynLAcVL/W0w6HjDjC1viF634czuXiNekoVeX1kFaEATjRh1M7ugvdfTq1IqmRffpWdJvKKIh1O42VEXRHDBWB0RDmiuox6anL9KyLCNJkuHYyczMNCyIui1v5syZ7N69G5/Px+WXX05dXR0HDhwANMlj7969gx5Lamoqd999N2+++SZVVVW43W5uueUWdu7caejxPp/PcAUpimKUtOvvxXoYNc4UBEFETMtHdCSAIGArGYcl1onJYSOppIBI7XE8Y4uRg0ESkm3Y0rxs+dadzH70PsbdfA2vzbmWph17hrx+qaNKWPrh3zWgzsyiYNlidvz4IUofuJ+ap54hadY8Iq2tKIlpdFZVgd1N5NRJlK4OFElCaa1DlSLQ1axZ9ATVWBT1jow2m42kpCSj78eOHTsYNWoU06ZN44svvmDHjh0sWLCAK664gvfff5/33nuPw4cPG7s+0AjA0qVLkSSJl19+2XjfZrNx+eWXk5eXxzvvvMOuXbsoKipizpw5JCcns23bNvbu3YvVaqWkpIRJkyYxbtw40tPTDS06EAiQnp7OxIkTGT16NNnZ2TgcWl8Pv9/PgQMHqKioMObVjh07yMnJMe5nvVujfi/Hh+6s6h9vvfUWH3/8MX/961+NvvpLlixhzZo1fdxkl112GWlpaXz44YfMnz+f1atXU1hYiMVi4fDhw8ycOXPI66vH165J63KHEuupOlR7nA4mi1ZhaDBprclSPJPW5QRdYujfaKk/k05PT6etrW1Ih8fIkSM5fPiw8X/i2abug7VarVit1j7fEd/bIt7lYUgeoLFl0awVtJzTEKl95I54gOvPqvtb8QRBMLZfuvQR7/SAM0H3bKHr0PrNqY9HYmKiAUT6gjBQgctAnuTehKFW/DMQi1ZlCbXjFLTXQyQILce1nhMms9YbORaFaBCTSTTkr6SkJEKhkNHCVt/O1tXVkZWVBWjb2ClTpvD5558jiiILFy5k9erVRKNRI3EzUIc3PXJzc7n77rt5++23ee+990hMTGT58uUcPHjQ2L0EAgFCoZBRTizLMn6/3+icF5MVZNECiV7tfknLx5TgAhRsJWOximEEZFwj8ok0nCSloghFknC6TDhys9jyrTsZf/PVXPbkQ7x79Xc49VX1kNcwdXQpSz/8O2vvewTnxAkU3XQtVff+hhE/+xnH//wszomzkEMRZFsy/l07ISGNyIlDqNEwSqALpaMRJSZBZyNij0VPLx3Xd1e6Pt3d3U1xcTGHDh3C7/dz1VVXoSgK77zzDk6nk+9973t4vV62bNnC448/znPPPccnn3zCvn37DLmif+9kQRCYNGkSV199Nd3d3bz11lvU1NRQXFzMnDlz8Hq97Nu3jzVr1vDVV1/R0NCA1WolPz+f0aNHM2LECLxer7HzDgaDtLa2cvToUbZs2cLIkSPxeDwEAgE++eQTTp8+bYBjZWUlZWVl2Gw2FEXh0KFDffqT6wnl/rFp0ybuvPNOo9UoaLjy7W9/m3vuucfwWguCwK233sq7775LSkoK48aN49VXX2XBggWsXbvWqIA+W3y9mrTZjCrLWv+OaNSQO4hJmgSiKr09POKYtH5C8QUc8SA9WJWd7vAYaouflJREWlqasRXTE4bQt3RcBzj9O8xmM1ardVDJo/cgbFoSURk80907RhpADwRw/UE6fnehLzD6yj6QHQ/62ujOJfQyWv1v9KpFXQvWLUvxzaf6M+qBCl3iz7XvOSqoXa3QclzTqdOLEbx5WkvK9jpUf7P2N7YE7R6JBDCZRGMRd7vdBAIBHA6HUfBQUFDA0aNHGTduHLW1taSnp+N2u9m8eTOFhYXk5+ezYcMGnE4nN954Iy+++KKRFB4oCgoKeOCBBzh27Bh//vOfEQSBG2+8kd27d+P1eolEInR3dxOJRAiFQgbT8vv9RkWrpKg9QK15dcXUXEwuN6gxbCVjsVkkRFEhsSCL8MkaPKMLUcJhnIkizsJcNly1nLypE5j33H/x3jW3U7+5asjrmDq6lPkv/p6Pbv4h6VdeQtn3b6Pqnl9R/OMfU/vXv2MtHgcmK1HFRveBfSjONCJH96IKInJ7M2q3DyUS6rHoxbCi9btISEhAURSj0CMzM5NQKERWVhaSJLF161YmTpzIrFmzWL9+PVu3buX888/npptu4r777mPBggUkJyeze/dunnnmGQ4fPsyll1464DkkJiYyZ84cLrnkEvbt28cHH3xAW1sbxcXFXHjhhcyePdso29+yZQtr166lurqa6upq4+fVq1ezadMmDh8+TCAQYMaMGeTl5XHixAlWrFhBVlYWCxYsIDExkZaWFqqqqrj88ssBOHz4MElJSUZCEaChocGQSeKjtraWwgFKum+44QYqKip48MEHDYzIy8vjoosu4vXXX2fp0qU0NTVx8OBBLrnkkjM67Q0W/wOJw1hPabhkbPtVQ+5QeuWOHlCLL+Loz6R1yUEHo7S0tDMsd+fiD9YLEgAjYQgYPSP0VoZ6s6VoNIokScb36pJHfPvSXp+vqAF1NDQgs+wTimw0meqv3w4G0vEeZT3b3L/QR4/+i9i5RPyYxmv8+o4ivo1rf5AeyoKlnWvvjkENdUFzjdYRMLUQISnd6K8tOJIgrVjbkbQc1558Y7FrenY01KeaUXe06MBhsVgMq9a4cePYtWsX559/Pg0NDRw7doxLL72Uqqoq2tramDBhAmPGjOG1114b8lq5XC7uueceMjIyePTRR/H7/UaXuMzMTFRVpbOz02DPuiwW/94ZQO3NxZTkAUXCVjoOqymC2WbDlZtO6PgRPGNHIAeDOBwC6RfPZP2iG0kvL+bKF3/PB8vupO7Lr4a8joVzZjLtR7ezYukd5Fw1n4qf/4DtP/wlRffeS8M/30Lw5mNO8RLqjhE6eRLJnELk8O6eopdjqFIUubsT/M0IUhSLEsXcs1jrfmR9/K1WK6Iokpuby5YtW5AkiSVLlgDwzjvvUF9fbzxEYsaMGSxbtoz77ruPu+6664wn+PSPjIwMvvnNbzJq1CjWrFnDunXrjIZXOTk5jB8/nrlz5zJ16lSSkpJITk6muLiYqVOncvnll3PJJZcwY8YMxo8fj91uZ8OGDWzevJnLLruMSZMmGfP3k08+MfpgA2zbto2pU6cax6EvxB5P3zoHSZJoamoaELwFQeBnP/sZwWCQp556ynj/+uuvp7KykqamJm6//XY++OADvF4vCxYsGHIs9Pj6E4e63KG3K1XRWnqaLCDHMem4gpb4qsOhmLQOtvGZ5P6NlAaKeKuazqR1UExLS+vTEU8QBEPr1b9XVdU+Lo8z2LThXBm8GktV5J7G5r1FHvGgHO+QgL5yh/5dOpMeTO6I19bPNeIXLd3SqE9KvRJTt+PppeKDMel+JwyCZoeivQ66msGdieDJ06o0+4VgMmsl9okeaDuJ2t2mjatoQpDCxnZWt+Z1dXUZTx3JysoyGuZkZ2ezf/9+5s6dy8aNG1FVlZkzZ7J69WpUVWXJkiXU19ezefPQVX4mk4lrr72WhQsX8sc//hG/38+3vvUtvvjiC3JzczGbzbS2tmpe6R5t02w2D8yok9IQBBA92ZjcXohFsJWNxyIEMLuTSMxJJVRzGM/4UuRAALWljhG33cCGb9xEcmoKC/7+Rz644ftnrUycdMe3yJ4yjpX/8RPylixk/CP3s/37D1Dw/bs4/ckqJCERe/4IuhvbkXw+orKdyJHd4HATqz0AgojsOw0hH0KkW+tL3dPzQy/jdzq1NqKZmZn4fD5KS0s5deoUu3btYtq0aUZ5fmVlZR89V88xnEsIgkB5eTlLly7F4XCwZs0aXn75ZT7++GO2bdtGbW0tJpOJoqIiCgoKSE9PJzEx0aiEDYVCNDU1sWLFCiRJ4uqrr+7zyL89e/YQDoeZMmUKoFXM7ty5s89zBhsaGsjOzj5DrmtoaCA9Pb3P06niw2Kx8Nhjj7F+/Xref/99QMOfpUuX8uKLL5KRkcF1113H888/f84P7v56E4cmXe6Ia1OqakUMgrmn54X+hJaeTnj6EAzEpPuDtMViMaxQemRkZJwTSMeXPNtsNoNx6hq1y+XSJpYkGQBltVoxmUzGE0ii0Wgf7Ty+ag6LXStmUc8sJlFjkqa9Wu1GiXh/Pbp/9Jc7VLX3aRM6q3U4HMiybNiE/p8y6YSEBOx2O+3t7cZCpbP1/qXi8UUt+jn0WXj0HtyxiKYxpxUbzduNv+nuQD51SEte9Zyz4EzWnswR7oaOBjDbABUhFjG66Ole8XA4bLRoHTFihPGMymg0it/vZ9KkSXz++edMmTIFn8/HoUOHsNls/Md//Advv/32OVWTnX/++Vx//fU8+eSTSJLE9ddfzyeffEJBQQFOp5OWlhbjqTb6E3/OAGrBAq50BFHQgDo5tReoZT/WtDQSsjyEjhzAO6kcs9uNf9M6xvziXjYtux07Ct949Sk+uvmHVD3zj0F3AYIgcMkff0W4vZMvH3qcnIWXM/nx/2T7XQ+Qe8ttdGzaTLA9TOK4SfiPnEBRBUL+KFJDDYrZQax2P5isyC11qNEwBNoxqRJWUbv3dBbs8XgIBoPk5OQQCATweDwkJiZSWVmJ1Wo1WPXbb7/dp+J3oFBVlRMnTlBdXX2GDGW1Wpk2bRrXXXcdy5YtY9y4cYiiyIEDB3j77bd57bXXeOutt3jttdd46aWX+Otf/8rLL7/MW2+9ZVT5zZkzpw+g1tbW8umnn7JgwQLDKrp//34yMzPxer3G/xtK6igoKBjynNxuN48//jhPP/0027dvB2DBggWcOnWKqqoqpk6dSnl5uQHiZ4tzW9rOIXoteLq7I6r9q6i9TFrpKQ1H0HpKD7DV1ws4+oO0Xmufn5/PyZMnDU0oIyPjrKzI5XL1KW6Id3WkpaVx4MABoxy5o6ODpKQkQx6JL6bRJQ+9i1t8YyFBNKGaLRpbtmpVjCiyBlCqDDZnn8dnDZQ0jC8Rj3d5gOaciGfSepGJ3nsgKyvL6Oj3r4Q+Fnrk5OQYxSI+n4/CwkK6urrOaLqkH/dAob3fU7TT8wDf/oxEDfiQT+xCcKcjH9qEkJKFmFaAYHUgmK2o3nyNgXc2gjsLokEEOYrF0jsGegLT5XLh8/nIz8/n6NGjjB8/ns2bNzN58mQaGxv56quvmDdvHh988AEFBQXk5uayYMECXnrpJX7yk5+c1SI4efJkIpEIf/rTn7jzzju59tprefPNN5k/fz6KouDz+YwHU7S0tJCWlmZUsoVCIXA4QLRgcqUjdDUjerREp9zlw1Y6Fo7sQcjKgphE4OBeEgtLsKZOounN15n0x19Tddf9jH3oPm5Y+xYf33ovJyu3cOXzj2FLSjzjWE1WK9947c+8evESkkcUMPZbVzP1+T+w7Ts/YsJvH6TlwxUooQJSZs6mY93/ReqsC+k6cZgkmxPVbEZorEFMzUVpqUVMy0fwNSK6s7AKCpLZYiSSvV6v0fhMVVXjUWS7d+8mIyODGTNm0NTURGVlJTk5OYYXun/s37+fd955B9BIwr333jtgUy673U5+fj75+fnGPaYXE+ml/IM19FIUhcOHD7N9+3aam5uZP3++AcB+v58PPviAiy++uM/f7N27d0Awrq+vH/A5h/2joKCARx55hPvvv59//vOfeDwebrvtNv7yl7/w5JNPcu211/LZZ5+d9XPg63Z3mHW5w9ord6D2PkZLL2pBNeQOIU7u0DVY3Yeq2870irdQKHRGS86MjIyzMqL+fuJ4iUS3rcU3W3E6tYdbhsPhPs9X1O1o8fawPkBltmmP2JIiGnOWwpq8YUs84/mG8Xa1PgUgA3inddaqf6e+04C+7FnvVzCkVtwvcnJy+rRozM/Pp66uznhIgv5wAf1hDJFIxNCl4/tNDyR9CELP8yz7ecZVVUU+dQgxuwxTXgWmsukgCMiHtyDX7kYN+bW/9eRqf+9r0Ox5cgwhFjXYfGJiotF8So/k5GQaGhr66NO1tbWIosjo0aN59913URSF2bNnEwwG2bVr1zmN04wZM7juuut44oknaG9v54YbbmD16tXGE086OjqMe6ytrc3ocaxr1FHd9eHStHjRk43J5UYQwFYyBlO4DUdhEU5vItHTpzCF28j8xiJOPvM05z3+EHsf/iPt675k2Zo3cKZ5eW32NYP2pHamebh6xQtU/uoPHP1kLWkXTGP6K09Tff+jeK9YSKSpibbt+/DOW0zzF2uxj5xI5+59qIIJqaMdxdeCEouhtDVou6XORgQlZujUevWfw+EgISEBWZbJycmhtbWVkpISZFk2npS9ZMkSBEHgnXfeGbCmYfTo0VxzzTUsWLCA22+/fUCQHSh02SslJcUoZe//t11dXaxfv54nnniCjRs3Mm7cOO6++25GjhwJaE9Bf+yxxxg3bhwXXHCB8Xd1dXVs3ryZefPmnfG9+sJ0LjF16lRmzpzJypUrAW1XVl5ezgsvvIDVajWqK88WXx9IQ8/zDWOau0MHZlnt9UnLUu/jtPR2pXEarA7S0OuV1hmcDpa5ubk0NDQYYOB2u4lGo0Nm7Ptrt1lZWYafUU+MBINBA6QFQegjeejdtOK9ynqz8Xh93JA9lBhYrGBLQDCfWcyhSwMDNSjSP7s/2A0G0vFSjv405vhk4tkiLy+vD0jrzYTiFyxJkvo8gEH//v4gPWDEJUuN8+88rbUPSMnWzs9qx5RdjmnUBQgOF3LNTuRj2yHoB08eIGjSh8UBqowoR43vTkpKMh4WoHc11D3VWVlZHDhwgDlz5rBhwwamT59OLBZj3bp1iKLINddcw7vvvjukhTM+Jk2axN13383rr7/Ovn37uPXWW9m2bRt2ux2v12tIH5Ik4fP5jGRivPQREy3gStMKXry5iM5EBLMZ24gKxGALCeUjsVliCChIx3aRf+vNHPvD75n8+19S8/c32P/wH7j0T79i8p0388alyzi2+osBj9VbPoKr3nqW1Xf8nPrNVXgmj2fmm8+z56HfkzT9QuRIhKbPviTz2lto+vA9HJNn4fvqK3B6iNbXoEbCyJ3tWrvTUAC6WrXcgBLFJApGYRhoRCcQCBjyh81mo7y8nB07dnDkyBFmzpzJrFmz+OKLL9i2bVufe0UQBEaPHs3kyZMHBL/6+nrWr1/Pli1b2LlzJ/v27ePo0aPU1dVx+vRp6uvrOXLkCNXV1WzevJm1a9fy8ccf8/rrr/PMM8/g9/tZtmwZt912G+PGjTN2vidOnOB3v/sdl156Kd/4xjf6zNG///3vLFmyxEiWxofeh+Rc49JLLzV6TAPccccd7Nq1a8hH2/WPry9xqChxTNqCGu3xScsxLYkkmnuYtFnTK3tAOl6THgiIBipoAQz2KAhCH1vdQNEfpOOLYAShtyNeSkqKwX70JJwgCGe4PHSA1JNZ8cxVMFsQbAkIJsug2+j+8sZgTDre+TJQ+1LgjAKf/o6Ps0V6ejp+v98oPogfC5/P1yeJqH/2YCA9YBKxH0iriozSeBgxu+zMakuTBTG9CNOoWQgpWcgndqJ2tUFKjvYZHfXaMjqZNQAAIABJREFUbkVVMCmSscPQgTojI8No4N7S0kJ6ejrRaJRAIEBFRQXr16/nqquuorq6mkOHDlFRUUFqaiqVlZWDjk9rayuvvPKKsRgXFhby05/+lI0bN7Jy5UpuvPFGtm3bhtlsNnZ5siwTCoXw+/0GUOtEIKaoxHqeii2IJsTUPES7A8Fmx1Y0EqHrNK6JkxFD7djS0+jetIYRP/w+x373GBMe/jFdx46z+YY7GHXVPL75z2dYc9cv2PzYswNKT1nnjWf+i7/ngxvuouPoCdwVI5n17t85+KfncPzftJ13eFVl9v0/59ya3PRCOiF0Ik2kSReQIqBSVBxRhrGjODYQZVTUsQPDzCgoo1jGERQUC4oCoiAixdADgQQIKQTSk5vk1nPP74+T93BuCsTv428/jw8Qb5Jb19nv2muv1a0XJrudgjUbSLnzIc5/vo6Q/tdQvfdX1KgUPHlHweZAOXcaFVCqSsFTh+TSNhStMnp2os/nIy4uTtezh4aGcv78efr27YvH42HHjh04HA6mT59OWVkZGzduDPo8tlZVVVWsXbtWD44tKCggOzub3bt3s3nzZj777DM2bdrEnj17OHXqFNXV1XqGY9++ffnrX//KlClTgmR1oK2J//vf/+a2225j5MiRQf/v8OHD5OfnM2XKlBbvkzF8uS01YMAAzpw5ow/nQ0NDmT9/PitWrGjzTsMfL8FrXAcP+LzaFN/v17bOJKGXNmvDtYCWztJ0oUWoGVqS4TmdTiRJ0rtpUcLRrrUyqjQgWHoHFykPs9ms85vimC9MyQXlIRZb4KLNZjPa4zJlpDqgudXn76U7jAs+TS9IlyuTyURycrLeTRufC4fDoYfeirX5hoaG39dJq4q2vCT+WV6AZA9HDo9t+fZoW5tyTAqmDn0JFB7RgDoqWXsfVTYCdUDBREB/74j7lpCQQHl5OR07diQ/P5/MzExOnTpFeno6siyTk5PDTTfdxFdffUVFRQUzZszgm2++afUktmLFCn788UeeffZZ/TaxsbE88cQTlJeX8/HHH3PbbbexZ88eJEmiS5cuOr1SX19Pba1G3YgLXn19PX5F66jVsFgks1XbTLRYNFOm9C5IzlIiBwxELS8grEcPKr/5hC7zHyXv1dfJuPk6wrt14qfrbiUiNorbd3zGqU3b+GLmXJzFzQfoGWOHM+zpv7J++t24KqoI79KR4Z9/wKl3/occn4qjYwZ5/36L1HsfpfTL9dh7D8V5MAs1MgXPsX0QHof/9BGwhaKUntWartoyZFXBivbaC392MXj2+/26TXBsbCxdu3YlKyuL/Px8JkyYQFpaGhs2bKCgoKDV94DP5+PTTz9lxIgRjBs3jokTJ3LDDTdw8803M2vWLO68807mzp3L3XffzaxZs5g2bRoTJ05k5MiRDBgwgMzMTD1KKxAIcObMGb766itefPFF3nvvPebOnUvfvn2DfmcgEOCdd95h9uzZrao3xMC+rWWxWBg2bFiQM2P37t25/vrr+c9//tOmn/GHSvBksxnV36juEBuHfhFGKzV6OTT6S6uK+EbtjjQqJlpbaDHm8bXES18KpMWxTHSfkiQFUR5ChgcXPactFgshISG6z4eqqvrQUFAeQFA6ye96rgz8mUh/gRZc5Gi5kxYBr01Xw38vSINGeYgpfHR0NHV1dfh8Pp3yEENEQaWIwe7v7aRVv5dAaT5yUlft34EASlkhgZpSVHd9s1BfyRGNqcOVjUBdrvmiWO1QUQBmK5Lfi1nWfqfIUfT5fPqJSABFz549OXjwIMOHDycvLw+fz8c111zDJ598Qrt27ejTpw/ffvtts+fl119/pbi4mJUrV5KamsqCBQv090lISAgPPPAAJpOJtWvXctttt7Fr1y78fj89e/YkLy8Pk8lEfX29/nqIoW59fb2WlyhbUUOjNKBul45skpHDY7AmpiB5nET1749ScoroAQMoW/8e3f62gOL/rcERZafL3L+w48bZ1B8/yczv/kd8z+58cPX17F3+DkoTs6M+c26h6/Xj2DBzLn6PF0d6KsO//JDC9V/j9srEjhxBzt9fJfmeRynf+h3mDr1oOJ2HzxyFJ+8wqj0Cf/5RMIcQKM3XvCurzyGpASyN9IfdbtepQUF/CGOryspKBg0ahNPp5Ndff6Vbt26MHTuWn3/+mT179rR4gf/222+Ji4vTZXK/t7xeL1lZWbz33nvMnz+f999/H6/Xy4wZM3jllVd08yVRfr+ft956C7vdzogRI1r9uQ0NDb+L7oDgWC1RM2bMYPr06W36/j/c9F9Xd3gbU1l8Wrq2SqMUTTZrnK3YRmuicmjaLTbtpKG5Z8fl6A5omfIQQC+O+KqqBll2GjlqYydvtVqDjFdaHCK2Uk2d4oAglYiRkzbSHkbTJSMf3jSx5vdy0qBNosVGpizLOr/aNFXdqJkWK+KXWmxRG020dBVPbTlSWAySXRv0BUrP4juwGV/2Tjy/bsCz5V3cP/4Xz67P8WZ9h//MYQiNbATqbNTyAghvB/YwraO22DTLTbN20rDb7bqO3WKx6Bcxp9NJUlIS2dnZjBkzhp9//plOnTqRkpLCN998w5QpU/j11191nw9RJ06coG/fvthsNu6//35GjRrFvHnzWLdunT44vfvuuzGbzbz//vvcdNNN7Nq1i7KyMq666iry8vJ0ukP4T4uOuqGhAZ+i4JetqCGRGi/frj2SpGKKS8UcEYEkqUT2ugLlfD4xV1/N+Q9X0mne3dSfOUPdvl/o/8ZLZD38N/I/WMvQvz3EbT+uo2D7r3w45MZmW4odxgyj7GgOrnJtFTkksR3Dv/iQsu2/4iysIPW2P3H86edJmjOPmt9+RY1KJeD14arxoVSWovhBKS9CVVQClecI+BWovYDkd2NWvFhMUjP6QxiVxcTEkJubS+fOnUlKSmLnzp3Issy0adOorKxk48aNQe9ZVVX1LvxyypuWKicnh0WLFrF9+3bS09N58sknee6555gxYwbdunVrFvW2e/duHnjgAS5cuMCzzz57yd8ZHh7+u8M1QkNDmzkwmkymZheK1uoPVnc06qStVgJery7Fw2JFUlVQRCctVsPVZiAtgOhSnbRI6xCg2BaQNuaaAbqUD9Cn1XV1dcTGxurBowKcjB92QXkIbSzQ4hCx9acpOI1GVdWg+ClxmjB216KMA0VxYTB6XwO658jvqaYOceJkIhZdxIVLPIc2mw2Xy6Vz40Z3wGZ0jSRfDHlQvNp2ZmMFKoowdxmAbcg07NfMwnbtndiunobliuGYUrujlObjy/oOLHZMXQYRqDpHoPAoOGI0tUd1iQbUXhcWs3YfwsLC8Pv9+kA5IiICRVF0h7cLFy4wYMAAtmzZwrXXXktJSQlnzpzhnnvu4Z133gnS3E+ePJmffvpJX3KaMWMGS5Ys4dixY8ydO1fnou+55x7S0tJYtWoVU6dO5dSpUxw/fpxBgwaRl5enu7iJoaKQjtXV1eEXQG0LB1sYpvg0UH2YUzpjspowhUcS3qk9am05sVcPpvTTD0m8ZjD21FQK3lrBoP8s5eyaDRx47FkiUhKZ/vk7DHnyQb6+4698/+AiXBVVlGQd5uvZDzN17UrCUy7ys7bYaIZ+soqyXXupzD5Nxtz7Of7UMyTcejcNOUdxu1QsCak4TxWgquCrKCfgrifgrEV11xOoq9H07O4aTAE/Fkk7IQozfqF8cbvdehKJ1Wrlqquu4siRI+Tn5zNu3DhSU1P54osvdC8LSZKYPXs2R48eZfv27W1+H6uqynfffcc777zDnDlzePTRRxk9erQeAtC0cnNzefLJJ/nwww+5++67Wbx48WU9nseNG8emTZvafJ9AG0TOmjXrd32Psf7YZBaz+WK+YSMnrYfSqqqe1KKKKC01AFw86oiFlpY6aSNIhoaG6m98aBtIN+0w27dvrw95jMNHs9lMZGQklZWV+qaV8K5QVTUoM83oNSuGiJdLRhHgK4BMdGQC4EQnLZY2jGXkfgUX3hSUjZamba2uXbty6tQpXeUgJIriOYmMjMTtduP3+wkJCcHr9epgbLQvFY9BFd2z8O9oBGmjVQBAoKIYOe7iwoAky0h2B3JkPKaEDlgHTEYKj8az63PUBiemzgM1qV7eXgiJ1N5DtaUGoDbrvuMiFb62tpakpCSqqqpIS0ujqqoKu91OQkICu3btYsaMGfzwww9ERUVx44038sYbb+jvk7i4OEaNGqXreEGj2p599lnuvfde3nnnHV599VX8fj+33HILI0aM4I033mDUqFF4vV727NnD0KFDycnJITw8nNLSUl2SJ2xO6+rq8Pn9+GQrqjUUQqMwxSSDqmBu3x1ZcWNJak9ofDgSClE9u1G7bxf20ADJM6ZxcvFi+jz/OH5nHdsn/4n6/AK6TZvIX37bhMlmY/WASXx+031MWPES7UcObvbaW6OjGPrJO5Ru30X5wRw6PfYIx558mript+OvKKP2xClC+15NTdZ+pIg4vGdzwWxFKTmNarailBdpm8S1pciqgkX1IUnonx3Q6MTa2lpSU1Opra2ltLSUIUOGUFtby549e8jMzGTQoEFs3LhRPyGHh4fz5z//WR8UXq4aGhpYuXIl+/fv56mnniIzM7PV25aVlbF06VKee+45Ro4cyb///W/69+/fpq594MCBlJaWtimYF+DgwYOcO3eOCRMmtOn2LdUfKMHTQDrg92udtMg59HmRzDZtWKhz0iLv0B/USRtN/41Jv8ZgUwFARk45LCwMVVUvycU2BWm73U50dLT+M4xAb3TKa7ouLigPQZ8Yo6TE8f9SSx7GISFoIC3y1sT/M7oCGkt8HS520iKP0Pi4LtdJC6AQ5XA4aNeunZ65JrY4jc+JoD6Myz0iWqvFi5MkaycluXG7FBolmNpjDTTUaqDdNAMy6EfIWLoNxtJjCN7936EU5iClXoEck4xyOgvCYjXOu75SM9v3u7BYtItleHi4PkisrKwkIyOD4uJievToQV5eHl27dqW2tpbz588zfvx41q1bx4ABA+jTpw9vvfWWfsG65ZZb+Omnn5rZnPbv358333yTQCDA4sWLaWhoYMyYMfzpT39ixYoVdO3albCwMLZv386IESM4duyYHgMmSZIeour3+zWO2ufTgNpihbBYTBGxIMmY23cDdw22jpnYbT5sSYmExoQScNXjPrKbLk88Tu6LL5E6cTjpt05j++RZFH/9PbbIcMYufYbp69/muv+8RudJY1p9nm0xUQz99F3Ob9lO2W/ZdHt6EccXPUPkNZMxORyUbfuBiDE3ULVzO1K7DNzHf0OKTsJ/6hA4olHOn0KVzRpPjYpZ8WJqVEIJ7X67du1wuVxERUVht9uD1DU///wzUVFRjB07lq1bt+rWwmFhYdx6663s2LHjkmEWRUVFvPTSS0RGRjJ//vxmfhuiTp8+zT//+U8efPBB4uPjWbVqFRMnTmzzejZoGDVx4sQWZxjGqqio4KOPPuKZZ55hzpw5+mf8/1J/sATP0El7PbqvNBbh29E46Tc64YnvN/h3CIASXGdTrTQEJ4G3RYbXlO6AYMrD+P1NB4niGGbs5q1WKxaLJehnihdbURQURdHBy/ifsDsV1RJIi7+3NkAE9AtCS3TH5TrpF154oZm5S7du3cjJyQEumlaFhobqa85C9SFoJ0FDiWGdGPhevJA0Bg0b6Q6/D0zaKSRQUYwc20p6DZpUT/Vr9JEpoQPWQTegFOXgP/IjUnQKcnQyypmD2jDR0wBuJ5isyD43ZrP2HIaFheFyuYiPj9eBurCwkF69enHkyBGGDBnCoUOHiIuLo2PHjqxfv56pU6dis9n4+OOP9QWnRx55hNdee63ZNqdI4EhOTubJJ5+kpqaGvn376lrq6Oho2rVrx5YtWxg1ahTZ2dnExsbqToM1NTV4vV68Xq9uSeDFQsBkgchETKHhSNYQzMmdwV2LrduVmOpLCevdF5O7itD09pR/9j7dFy/i3Lr1+ApPMXj1co6+sIzDf3uZgNdLYr9eZIwZ1uz5BfA1uPB7tGG6LTaaYZ++w7lvtnDh14P0ePlFTix+AWvHXoRl9ubc2o+ImvQnqnf+iJTYFfehnRCTgv/UAbBHECg9g4oE1SVIig+z4sEio6fae71eoqKi9CYkKSmJnJwcoqOj6du3L/v370dVVSZNmsTu3bs5fPgwoDVJI0aM4Kuvvmqx+dmzZw/Lli1j0qRJ3Hbbbc3AUFEUfvnlF5544gkWL15MYmIiq1at4o477vjdA0BRkyZN4ttvv23WmHi9XrZu3crDDz/MtGnTyM3N5emnn2bq1Kn/p98j6g8cHNKo7tAGh4FGq1JN3WFtzLpr9K0wJocjNe60XNw6NA4P3W53i8NDYycNzdebm1ZLAzURDQQXo6eEJabb7cbtdut2jSLKS5IkHQQFCIiuS0jyhHba5/Pp/wlnPeNVW1XVVkHaSHc0NV0CgpQewuQH2tZJf/311808Prp3767z0oLuUFVVv3iJTlpcqMTvEby0kE7qCg+xqBTESfv090CgohhTXMvrtZ4jO3GufR3numX4CrT7JDsisQ6+AUk24/11g6aKcEQSKDis6agbqsHbACYzJsWrX+SFJCwyMpK6ujqSk5O5cOEC3bp149ixYwwdOpRt27bpG2ebN2/mrrvuIj8/X1/b7d+/P2PGjGHJkiXNPpgmk4kHHniA/v37M3/+fIqKiujQoQMLFizg+++/R5Zl0tPT+eabb4I66uLiYiwWC5WVlfp2q7A+9aomApIJopKQbSFI4dGY4pLB58bWtTdSTQlRgwahnD9NzODBlKz+F53n3YMky5xZtpRB/3mdhqJz7Lj+duoLWk4uKty5j7e7j2TDzffpX7PFxzLss9UUfbmJ0l376f3Gvzjz5kr8agix46+n8D9vEjl5Fs6s3SgRqfjyDqNawlAunCHgCxCorSDgdmmvhbu20fZUe77E3MdqteqWsx06dKC4uJi6ujoGDRrE8ePHqa6u5oYbbiAnJ4fdu3ejqioDBw5EVVX27t0b9Bg2bdrE559/zqOPPsrVV1/d7DH+8ssv3HnnnXz55ZdMnjyZ1atXc8stt7S4pPJ7qkuXLoSHh/Pyyy/z3nvv8eGHH/Lyyy8zYcIE1q1bx5gxY9i0aRPPPfccAwYM+D8NP431x7rgNYK0bLU1endYGxNabJp/h9miyXdEcnjgon8HXAQhYxqJcXhoVDIYgQQ0wBUpGi2VMAgyVnp6OgUFBbovRkREBOXl5Xq0fVlZme6PUVFREeTABtoHtCn4y7KshwiIrSyRvmy324Mmy0IZIcBY8NOAbmIknlvRVRupIQGKRt208e8tleDxmw5Tevfuzf79+3VduOj0EhMTOXfunA7WLSWqN5XjqUZwNpm111u78xf5aU+DFkjbpPznTuPJ/hXHdX8hdOQM3Hs3Uf/9hyg15UgmM5ZeIzFl9MH327cQFgcWO8rZQxCVBHXlWlctSZiUi3YCgkazWq26x0ZDQ4N+oe/ZsyebN2/m+uuv58yZM2RnZ/PAAw/w/fffc+zYMQBmzZqF2+1m48aNze6zJEncfvvtTJs2jfnz57N582bi4uKYP38+e/fupaysjMzMTDZs2MDgwYPJy8vD4XBw7tw5zGazzlXX19fj8XjweDx4VRlFNkNkIrLZihydqK2RW+1YU9qDr4HIPr1QSguJGzqE8x+vJrJrKil/msnxBQvpMGMCqVOv46eJMyn+prlvsT06kuiuHUm6Kng12R4fx7B175L39ge4Kqrp+5+3OLf+M1yltSTdfjdFK5cTOeV2vMWFeHxWlNoq/PUu8LkJ1GiUhFJdqlFczjIkSW3kqS9uKSqKQkJCArW1taSkpOB2uzl37hyDBw+msLCQwsJCpkyZwoULF/TB4Q033MCOHTuCpLeSJJGSktKql8bXX3+tR1gNHz68zS58xnK73WRnZ7NhwwYOHDigf33x4sUkJSXhdDp169KPPvqIt99+mylTpvyfu/SW6o/37hCctOikfV5tCUEstzS64umdtCQhGdakWwJp4/BQaIKFsYvgoa+55houXLigu041rZbAKywsDIfD0SypBYLpj9YoD0Bfm25L9HvTaiqMN3bVfr+/WYdtVE4YlR7GDcTWIn9EHTt2jH79+ulHbVHJyclERkZy4sQJ/c1fWFioLw6JBSBxkrDb7UFhtYJ+0TtpwUWbLNopCrQllEuk2KiKH9eurwi5ejKmqHaYkzsRNvVBzMkdqd+4Ctfe71C9bsyp3bD0HIFv//cQFo9kD0fJP6wZMdVXgdeFJKmYVe0iJqR54rkW8UpCCy+CV3fs2MHNN9/Mjz/+SF1dHXfddRerV6+mvLwck8nEI488wpo1a1rN1ZwwYQKvvPIKX375Ja+++qpOh5SVlXHo0CGGDx/Ohg0b6N27NxcuXMBkMlFZWYnJZNIbAqfTid/v15QgAbSll/B4JItNW3oxyZhiUzCH2DFHRBGW1g4CPqKu6IIrLwfX4V1kvvoihf/9COVCIYPeWUb2C0vJevhv+AwBt/FXdOW2rWsZ9szDzR5HSGI7rlz6PL/NXYBkttJn5Zuc//IrnLlnSZ5zPwXLXyHsmhtQ/Qr158rBZMFbUgDWEPzn8pBCo1AunNGorepz2rwm4MFk0hoScQJt164dDQ0NREVFYbVaOXPmDP3796e8vJyTJ08yceJEGhoa2LZtG9HR0UyePJl169bp9N6YMWMoLS3lyJGWY8ZKS0vp2rVrq++3puXz+fjll19YvXo1Tz75JNOnT2f06NH8/e9/Z8uWLaxcuVK/bffu3fnLX/7CQw89xIIFC7jjjjtITk5u0+9RVZWsrKzLGsOJ+sMleAGjuiPoT48mvwoEDIPD5v4dTcNXjSAdHR0dJNMxGv5bLBb+/Oc/88knnwQtd4gybgoay2jQZOS5BS8thlA+n08/3otgVHE/mm40tqUCgYA+GBXl8/l05UhLNEhTkBZHb8ELi79fCqSzs7P1nLim9NCgQYP0Sbrw9DAuDiUkJOi2rg0NDUEngGactCRrC0tmqya9A+3197d+3zyHdyBHxmNJ76F/TTKZsfUaRti0h1A9DTg/+yfek1nI8WlYeo3Cd3AzhEQgRcaj5B+EiHbaIFHxI6kK5sbjdmhoqC6l9Hg8xMbG6ny11+slOjoam83GoUOHuPHGG1m/fj2JiYlMmDCBFStW6Nact956K8uWLWt1eSk9PZ1//OMfRERE8Pjjj+N0OnnwwQeJiori22+/ZcKECXz77bekpaXpFIfL5SIQCFBeXq5vJ+pxXAFVk+iFRiNZQzC1aw8omNO6IfkasKR3xW7zYU9Jw2r2EpKWyrlVy+i28FHUQID8fy5n8DtLkc0mto2eRvnuS6e8iEoaN4rUqZP4bd5CrHGx9F75Bue//oaa46dJuechzi77O/beQ7DEJVKbfQw5OhFP7hHk6CR8eVlIUYkoJSdRLSFQVYykqpj9HswmDXIiIiJwu91ER0frjVlkZCS5ublceeWVuFwuDh8+zJgxY3C5XPzyyy90796dzMxMPv/8c/17Zs6cySeffNJM/qooChUVFa3K74wVCAT4/vvvmT59Ou+++y41NTUMGzaMV155he3bt7NmzRpeeeUVjh8/3mafl5bK5/OxZcsWHnjgAd599902d/Z/uLpD9TfXSQu6QzJbNT4agEaHNGQkKXg13NhJGzlpMQASH5CmXtIZGRl6zHxTwGyNBjD6KRv113a7XU+HliQpaMmladZiU666LSXc5FpTerQE0sZ1cqPS4/d00kePHuWKK64gKSmpWYjv4MGDdZAWHXRERAQmk4nq6mp9eGj08hC6aa/XG7R5qdJ48ZUtWqq6qmoqn1Y6aaWmHG/2bkKuntTi/5dDwggdPo3QsbPw5vxGw9aPkWOSsPQZg+/QD2C2I8emoZw5AGHxUHtBaxwa9btCuin073V1dSQlJVFWVkbHjh0pKyujQ4cOuFwuXSK2du1ahg8fTufOnVmxYgU+n4/JkydjtVov6QVstVqZO3cu48eP13nq22+/nf79+/PRRx8xfvx4du3ahcPhwGq16l20y+XSdfki9FZbIxda6jBNoheVcFH5UV+NrduVyM5zRA64GqU4l7hrrqH47eXEXNmdlD/NJPux+bQbcAW9XljIvnsf4+gLS1E8lz/5ZS58CMXl5uS//oMtPp7eK9/gwrffUnXwGOmPLKJwxRLkxAxCew2gatdOTGndcB3ciSm5G76c3RCZRKDkFKpkgZoLoHgx+bWBoqqqRERE4Pf7cTgces5gQkICJ06c0CV0Bw4cYOzYsZSXl7Nv3z7Gjh2L3+/X/VZ69uxJUlISmzdvDrrv1dXVhIWFtbreLWrv3r3ccccdfPTRR/ztb39j9erVPPLII0yaNIkuXbron8GIiAjatWsXFGrd1nI6nXz66afceeedbN++nTvvvJM333yzzduUf2gnrQ8OrbZGdYctuJM2W5GUJnalTTppsf7cEt0hrrYCLFtaB58yZQolJSXNaA/BnTYtYzKJ+NCIKb7x5zelPFwuV5CHh9jGu5xOWpSgDIzVEkgbtdOt0R3C51o8ztZAWlVVsrOz6dmzZ7PVetAGIg0NDRQXF+sr1aABdlFRURBIG6O1xOtksViaDA9lTeRhMl9cZGkBpFVVxfXLV9j6jkQOi7rk82aOT8Ex6U6QTTRs/R9yZDusV47Dd3gbKhJyQgZKwRGISNC8qCUZKeDD0vhODw8Px+v1EhcXR01NDe3bt6eoqIjMzEzOnj1L7969KS4uxm63k5SUxFdffcUtt9xCREQE7777LgAPP/ww69evD/Iob6mmTp3KnDlzWLRoEdnZ2UycOJEZM2bw3nvvMXToUI4fP47H4yEhIYH8/HzCwsKoqanRrE293qClF11LbbZBZIKm/LCHYU5MA8Wr+VLXlRF11ZX4S/KJvXogtb/9iufkAXr6mVLnAAAgAElEQVT96x+Ubt5C+TdfMvSTVdSdPstPE2+h5vjJS95/2WxmwMrXObX6Y8p27sEWF0eflW9StnkrpT/soMOTf6fkw1X4FRORo6dQuXUT5i79ce3bgpzUDX/ubxASoS0h+f3aQNFTrw0UGy+cDodDl6+Gh4fjdrtJTU3l5MmTdOrUiZCQEA4cOMC4ceM4e/Yshw8fZsaMGezfv18PFRbezEaZnjDYaq1ycnJ44IEHePHFF7njjjv48MMPg+KzWqrevXu3Sq20VE6nk3fffZe77rqLwsJCFi9ezN///neuuuqq3zVM/P8iwROdtNxotGTkpDWOWjjh+XWQNm7gGTtpr9erKyZ8Ph/x8fE6cLYUnSVoj7Vr1waBlejKm1ZT6Z6R8hCdujgmC8rDZDIRGxurx3CJ3yuCay9Xfr9fV6+IEpI9YzSX0c+k6TafsZMWzxdcGqTPnz+P2WymXbt2JCUlNQNpWZYZNGgQe/fuJTExkfLycrxer+45LUBaOO9dak1cB+lAQAdn7aItXgMJkWLjL85Ddddjzby4bOEpOEXZ/96kdscmPGfzdDkeaBRI6DU3I9lCqP/ufbCHYe03Ad+R7QRcDcgxKSiF2RAerznnyWbNh9ok6fSVSHURQC2keSdOnGDw4MEcP36cLl26UFtby/bt25kzZw4NDQ2sXbuWdu3aMXv2bF5//fXLKmlGjRrF/Pnzeemll/SUmPvvv581a9bQo0cPysrKKCwspHPnzrpETwwS6+rqtE7a79fWyH0+PKqJgGTWlB9WG3JUIiZHOHJoOJboGOSQMMKSYzDZrYRGh2CJiKDojZfo/NB9RPW7kuyHHyHjpuvodNft7Jz+F44sfp26061fbEKSEuhy/xz2P/qM9v6KjaXPW29S/VsW5z77koxnXqX86/W4SyuInf4XKr/bgKn7UNwHt0Nse5Rzp7TMaU+DtqGoeKG+EokAFtWvDxRFxxsTE0NdXR0dOnTg9OnTpKSkYLfbOXbsGBMmTOD48eMUFRUxffp0fUsxLi6O0aNH8+mnn+r3WywttVTffPMN8+bNY+TIkaxfv55x48a1CTSvuOIKfZB8ucrNzeW+++6joaGBN998k8cee4yOHTu26XubVptA2u12M3bsWD7//PPWb6TSaOyvddIBnxfJam1MDbfp6+H4PWCyapl/IuewlQ5RALbX69VVFMbONy4uTl/hNlZGRgaJiYlBq86tvQgxMTE4nU4d2Iwm+OHh4fowx2hpCui+xUZlh8PhwOVyXdZsqa6ujtDQ4LQSY+KLiOuSJEm/SAFB6+PGx2QE9mb5i4YqLi4mLS1Nf45a2prq2rUrp0+fxmKxkJycrCcjnzlzhtDQUF3LLmgO0Uk3NDQ0yz/U5w6WEE0eZ3eAR0vYkewOcDc+d34fckRMUDBCQ7bGnfqrK6j86r8UPf8gF956iapNn9JwbD+qz0fIiBmYkzKo+3IlAa8H68DJKKcPotRUIEXEoxQe0xZeKgsbsxI9WMxyM27a6XTqToA9e/bk+PHjDBs2jKysLIYMGcLx48fZs2cP999/P7m5uWzZsoXx48fTuXNnXnrppcsOjfv27cvLL7/M2rVrWbFiBR06dOCxxx7j+++/Jzw8HLPZTFZWFn369OHgwYO0a9eOkpISZFmmurpa11FflOhJjdmJCfpAUZJUTMmdkf0NWDMysfirCOvZG7X0FPFjx1O86p+Y1HoyX3uZwv/+l/pD+xj26SokWWLH9bezc8ZfKPryOwKGx6KqKqfe+YjcN1fT58Wn9K9boqLo9e9/Up21n7KtP2lAvekL3KXlxM96iKpN67H0GoU3Zx9qeDsCteWoDXVgMhOoLtV2JWrLGgeKmq2AUEMpiqJfPDt27MjZs2dJS0vTnewmTJjAvn37MJlMjBw5Um/Gxo8fT1FRkd7p9u3bl+LiYl37b6yQkBA9Q/H3LJmIxZzLVUlJCc8//zwPPvgg8+bNa5EXz83N1bXgl6s2gfTKlSsvqy1UAyqy2UTA79Nc8LyeZoNDnf4QAQCSDKhaPqLBRMjYTYuBn+A/jSBtNpuJiYnR/22s3r17t+lJMMrtQDval5SU6PxvaykuRtAWFxUhyauurtY7oKbl9Xr1dW5jCWAWfxddgABvCAZpIz/dkn66pSotLdWPgJ07d9aPi8Yyasc7derEmTNnSEpKoq6uDqfTqT//UVFRul5a8NGATncEAgFUSdZOS7ZQ8DRo+Y5mq/b30AgCDRqvL1ntqJ7gjtR7No/wwdcQc/0skuY9R8qi5USOvRHZasO5ayvn//UsvpIC7FeNJeTqyTRs+QhfUS6WgVMIlOYTqKtBjk5CKTwOjtjGjlpG9nmwNA6vxOlIBAaImUSPHj04ceIEw4cPZ9++fYwbN44DBw5w8OBBHnroIX744QeysrKYN28eoaGhvPTSS5f1bUlPT2f58uVUVFSwcOFCbDYbCxcu5OTJkzovvnXrVgYMGMCRI0eIjo7m/PnzyLJMWVnZxRXyxtOcCBBQQyORbA5Nc64GMKf3gPoqbN37Neqpr8aTe5i4YUNQGuo5v/qfdHvqcULT0zk2fwHtBvdh3G9b6DDrJs58+Anf9RvL0ReWUnPsBL/dP5+zn3zByG8+JvHaYN9lc1gYPf+xlOJPPqXmwGE6LHyB8x+vxlNRSdxtD1DxxX+x9ByF72QWqk17rZXqCk0yWVGsvQ9qzyNJMibFgyxrahu73a6fmCsrK+nYsSMFBQV07NiRmpoaysrKGDt2LNu2baNjx46674fFYuHWW29lzZo1eL1eQkJCmD17Nm+//XYzCrJfv34cPny4TV47xmrJqqFp1dTU8MwzzzBz5sxm2m1VVTl8+DCvvvoq77//fpup0cuC9KlTp8jLy2uWAdasVLXRmlRBttm0waGITTKZdU46eDXc3KibvTjka0mGZxweRkVF6XpSaH2JpU+fPhw6dChogNhaN23knkNDQ4NkecbhpMPhwGw26zpph8OBxWIJWgwJDQ0lPDxcdzyrrKzUAVtIBsPCwprdF6PSwwjSRq8QI0gbtdNGkL5UJ11aWqqnJqelpVFeXt7igk9RURGKopCRkcGpU6eQZZmMjAxOnz6t00OCoxe6caFlD8pAFFppsx0UH2pAQQqJQHXVIjsiUesbgxusdi34tLFUvw/vubNYUy8eD2VbCPbOmUSOuYGEuxYQOX4ape8txfnrNsztu+OYfDfe7N24936Hpd94AhfOoNRWIsemohQdawTqYpBkZL8HS+OHTQB1TEyMLgsrLy+nS5cu5OXlMWzYMH799Veuu+469u7dS25uLg8++CBr1qzhzJkzzJ8/H4vFwssvv3zZD73D4WDRokUMGDCAxx57jMrKSh577DFMJhN79+7l6quvZuPGjfTq1Yv8/Hz9vaaqqr4Baxwo+pQAPtmmeX6ExWIKj9IAOz4ZyWTCmpyGJAUI75SGJIPZXUn8pBspWrEUW7hMj5f+TsH7H5Dz1CLiBl/J8M/eY/iXH6IqAX655W5MISGM/OojHOkt65DtCQn0XPo6eUuW4imtJP3xZyh6+x/4G9zE3Xo/FZ+/j7n3NfhOHUY121G9DSiVJUj2MJSyAu2EVVOCJMuNC0gaN90UqDt06MDZs2fp0aMHRUVF+Hw+hgwZwvfff8+oUaNwOp38/PPP9OzZk/bt2/Pdd98BmiwXaGYTGhUVRUpKSpupC1FNfeCbltvt5vnnn2fo0KFMmnRxAK4oCnv27OH555/niy++4JprruH5559v5mfdWl0WpF999VUWLlx42R+kqhonHfD5tMGhGKpZrCDJhk5agHWjDE9R9MGh0QXP2EmLzb/6+vpmnW9rGYeJiYlYrVZ97ftS8rimvLRxqBYTE4Pb7da5ZuPvliRJ31QUwCisTMPDw4mNjdUN0aurq/WFGCMXDej8o3DgulQnLY5nrXXSlwNp0UmbTCYdeI0lPE1EAvfp06dRVZWOHTty+vRp/fkWckihdBFGT4KearbU0kh5SCHhWoZhaASq6KRtIUGdtLf4LOb4RGRby5wigKP3IBLuW0Tdvp+oWLMSyeYg7Pp7UX1uXDs26EAdqK1Ajk/XOGpHjJaXKMvIfs3iFDS9vKIoREdH4/V6iY2NpaamRgeHoUOHsmvXLiZPnswvv/xCWVkZc+bM4a233qKiooIFCxYgSZJutnSpkmWZmTNn8uc//5mnnnqKo0ePcuedd3LFFVfwxRdfMHr0aLZu3UpKSoqe7gJabJOQ5on0oLq6Ovx+P17JQsBkhcgkZKsVOSYZ2WzGFN8ekxzAktYZi7+S8H79adizhaRpM/BXVlL60Qq6/+0JInr1ZP8dcyhe+wlhHdLotXg+1x3ZQb9/vIAppPXXACCsaxe6LX6WY08uAoud9g8/RcG/XkFRIPbme6lYt1pT4JzNQVW1z7tSVojkaNRS28Kg6hySJGNWPMiy3AyoRSByfn4+PXv25MSJE4SHh9OtWzd+/PFHpk+fzm+//caJEye45ZZb+PHHH7lw4QKyLHPvvffywQcfNJsd9O/fv9WditbqUp20oii8/vrrJCUlMXv2bP3re/fu5emnn2bHjh1MmzaNp59+moEDByLLcpvVYJcE6S+++IK+ffvqPOYly7BxKJnNqIGA1jlZrRoGGzppySRCaU26+b+gOy630AKabM4I0q2tg/fp00enPFpKPBHVFKSFmkHcL2M3HRcXR2VlpQ6KNptNl+o1raaAHRkZSURERLP7IUBOAHDTTlqAtHEjsbVO+lJ0h7AfFdW5c2dyc3Ob3S49PZ38/HxiY2MJBAL6sfP06dPExsbq4CyGh8IlUHTSQcNDsVnaSHkQEgEuJ1JoJGqDFivVtJP2FORha9+5xcdgLEtcIon3P40c4uD8G4vxlZ0n9JpbkGx2DaivHI9ScopAdRlyQkeUgmwIjdY6atmk+3xIkqSv/4tZQ2RkJA0NDSQmJlJcXMzVV1/Nrl27uP766/npp59QFIUbbriB5cuXU1tby8KFC1EUhddee61NWtpRo0bx1FNPsWTJEn3b8cYbb+Tjjz9m6NChHDx4UJep5efnExERQWVlpZ7nKQaJ4k9tQ/EiT21qlw4BL+b0nlBXgb3HAKg6R9SA/rhPHcUebib++hkU/vtVTDTQ+43llG/fwcG776UutzkNdqmKGTyIjAfu5+jDj2FNSCVt7uMULP07qslK7Iw7Kf9klQbU506jeDQveeXcaW1uUJIL9gjt4imZMCvuZkAdGxtLbW2tPuDt2bMnhw4dIiMjg5CQEA4fPqyn7SiKwsSJE1mzZg2qqtK9e3f69OkTNFSE/ztIt4Qhqqry9ttv43a7+etf/6rfZtu2bWzYsIE5c+Ywf/58evXqhSRJnD17ltWrV7fZhvWSIP3TTz/xww8/cPPNN7Nu3TpWrFjBrl27WrytnszSuHUmW60EPB6Nn1bVi3ppn6cxlNZrWA2Xg1LDjSAtOmnj+nVbQbpXr15kZ2cDzYduxhI/Q3TbSUlJVFRU6JSKkZe2Wq2EhYUFgbKQc11qgGRcUTaWoihUVVURHR2tP48ul0vfjjNy1U2108ZVcSMv3lonXVZWRnx8vP5vo6mSscSgUJIknbsWyx4VFRV6/mNTCZ6ooKUWU+Pw0BoKnnq9g1bNFk3Z42kAq7bkJIDaV1aCpV1Ks/slSg0o2uAZkCwWYqbOJnLsVEpXL6H6u3XYBk9Bstlp+PETzL3HoJw/jVJagJTYSaM+QiIbgVrGZABqsfAiXBXDwsL0pJeSkhIGDRrErl27mDJlClu3biUyMpJrr72WpUuXUltby1NPPYXH42Hp0qVtSurp2bMnr732GuvXr+edd96hf//+3Hfffaxfv57OnTtTWVnJ2bNn6dKlC4cPH9YHipIkUVVVhc/n06k/t9uNX0UPESAkElNUApJJxpycATJY2yViCg0jNNqOtV0C9b98S+qd96H6vBT980XS77iFhBuu58i8hzj9rzfwG8IkLleJUyYTO3wYBe9/QHifq0i5+yHOLnkOc0IaMdPmUP7JKuzDpqKUF2l6AZsd5VweUnQySslJ7eJZXQyyuRlQi1NOfX29PjO64ooryMrKYvDgwVy4cEF3IVy3bh0jR46ktrZWD3udPXs2mzZtCmrE+vXrR05OTqvboy1VUwdLUTk5OWRlZbFo0SL985mfn8+mTZt47LHH6NKli37bffv28dlnn9G/f3/GjRvXpt97SZBevnw5n332GZ9++ik33XQTc+fOZciQIS3f2MBJA0g2m6bssNpQBaUhmwwdtcGutA1bh2JAJaa/gqMTBuMtpZFkZGToHFZZWVmr20fC/EVwzWazmcTERF0nHBcXh9Pp1I9MxgUYcfvo6Gj9Pv2eKi8vx+Fw6KDs8Xh0nwnQopZaokGaUh9NvT1aqtraWj3IF7SQzH379jW7XZcuXfQOu0ePHnpiicgNFIsw4mIpQFtQHkbL1gCNw0OLXfPwkCSw2pFcTuToJAKVJdrwKC4Zf5l2ejE5Igg0tG47W/jGEk4+cjeVP36P2ti1OvoOJumvf0dx1lD6n1exXHktpnbtadj8IaYeQ1GdlSj5R5HadUQpOg4h4cFAbZL1tHWhe4eLNrhRUVFcuHCBgQMHsnv3bqZMmcKWLVt0+deyZcuoq6tj0aJF1NbWsnz58jYBdUpKCsuWLeP06dM899xzJCUl6UG3kiQRFRXFrl276NevHwcOHCAuLi5ooAgE0R8+RWm0PNX01LI9FDkiXqM/kjsheeuwde2LXFtM1OAhOLd/g81hIeXOByjdsAbPsX30Wr4EX20te6fNIG/JMlyFRZd5FFpFDeiv3zai/2Bixkyk8M3XCenem/BB11C54UNCxvwJ76lDqKHREAgQqDiHFB5HoPSMdvGsOd8I1F7d18ZiseinHZH6IiiQQ4cOMWrUKPbs2UNGRgaxsbFs376du+66i88//5ySkhLi4uKYNGkSH330kX5fw8PDmTVrFsuWLWvTY4PWG72cnByuuuqqIDHA1q1bufbaa4MwZ//+/ezcuZM5c+bQp0+fNmul/0CdtIpssRBo1LPKVhuBxoUWRBcNGjdt0rIPjSZLxtRwAdLCZEh0ZcI7WVgfulwunY5oqZu22WwkJCRQWFgYxMc2LWGdaNRcC/Ml0LpTo346JiYGj8cTNDCMjo4O4q7bUsL83fhCisGiKCNIi4sVECTNa+o93Rr/7nQ6g0C6U6dOOJ3OIDdBQB+aqapKZmYmx44dQ1VVPQsxOTmZkpIS/WIlksXF3MBoX6qKi7OqaBI8dx1SeCyqswI5JplApbb1aE5oj3JBU5WYIqJRapvTRwDOg/twnTpByl3zqNm1nROP3k3lD5sI+HyYwiOJvfkeQnsPpPStFzGl9cDWaxgN33+IlNoDLDb8pw4iJ3VBKcrRjtlVxZohU+PKshGoxXMlBsHR0dE6UO/Zs4frr7+erVu3Eh0dzciRI1m6dCn19fU8/fTTlJWVsXz58jZRH+Hh4Tz//PMkJyfz6KOP4vV6WbhwIRUVFZw8eZI+ffqwadMm+vXrR25uLhaLRV90qaioCNpQFAoQo55aMlswJXQAvwdzhyvA7cTWuSeSp47wzu2xREVR8+3/SJp2M46efShY+jxR3dO58v3VmByhHLzrHo4+voDq37IuOduxJyfhLjHE2k29FRSFsi/XEXGNlr5dt+cnHNfOwrNnE1JaJoHKElSvF2QTgZpyrYGrq9BNsmRZxmazoaoqISEh+p/CXz4kJISSkhL69+/Ptm3bmDhxIkePHsXr9TJ16lRWrVqF1+tl+vTpZGVlBc1gZs2aRV5eXqvsQNMynmSNdfLkyaBuuaKiguzsbN1ZEeDQoUP89NNP3HHHHfrnRZzyL1dtBul58+Yxbdq01m/QODhUGyfcss1GwOPRNNNeb+ORVjNXUk3mRgP4Rm9pZF2G1zRKy6jwECAg5G+ic72UTWnHjh05c+bMJUEamq+Yp6enU1hYqHO9xkxEWZZJS0ujoKAgyEZUgFZbPDwCgYDOERuPUEaQDgQCOtUDwZ208Q3TtJNu6ferqorT6SQ8/KLznCzLDBw4sJkFZGysluRdXl5OfHw8JpOJkpIS3X9beKYIy0ljjJZYahHDw4AwWVL82pDIo4F0oK4COTZZy81TVUwJ6fgFSEdG468J9m4GCHjcFL+3kuS/PEBYryvJWPQSaQ/Op2bfLk4+chcVmzei+nxEjppE1HU3U/ruEhTJTujIGbh+/BTVHonsiMR38jfkpG4oxcdR7RFQrQFLU6AGbR1YVVUiIyPx+/3ExMQEddQ33HADP//8M2FhYQwbNoylS5fidrtZvHgxNTU1vPjii23S1prNZu677z6mTZvGggULyMnJ4cEHHyQ1NVVXMXz33Xekp6fT0NBAZWWlrv5oaGjA4/FQX1+vNy9CT+2XLaiOGC2aKzIeyRaCKTIOOVxbeLGkdkauOkv0NddS/9t21POn6PDEM7gL8zn76t+I6deTAV98RsyQIeS+voT9d/yZ8xu/wV/X/ORqT07GU1Kiv/8kk4m0eQuo+P5rGk4eJ/aWe3Du3oavppaQYVNx/bgOc4+h+PMPo9qjUBuqNfwI+LX3iaTq3isOh0P3WHE6nSQmJuouepWVlbqq6ujRo0yZMoUvvviC/v37k5SUxLp16wgNDWXmzJm89957+v212Ww89thjLFmypE1yvNY66dzcXLp166b/e9u2bQwZMkR/D2VnZ7N161Zuv/12PT/066+/brNT3h9oVQqSRTNYgsZO2uNGtlr1FXHdU1pF+3uQXWnwQouiKHpH1lThAbRJ4QHoCobLgXTTTtrhcBAWFhaUTOJyufTfL4DMuIoqLD5Fd3OpKi8vx263B3XNQBCQNjQ0YLfbdQBuCtKCEjFOnVs7Qglb0aadgOgKjSVJkk55SJJEZmYm2dnZREZGIssy9fX1REdHB4XVCt20MclcBB2oskm7KNscjRrpSHA5IURbFlKdFZjatUcpK0YNKJgjo1Fqq5o9htINawnt1JXwPlfpX3N0zSRj4Qu0f/gpnAf3ceKRO6k9sA9H70HEz5pHxWfv4ioqxHHdnXgObEMJSMgRcfhydiMndydQdFzLF6wpAdQgoBYnmMjISL2TFoOs8+fPM3DgQH2YuH//fux2O0OGDNGB+umnnyYkJIRnn322zSesCRMm8MQTT7BkyRI2bdrEzTffzLhx41izZg0jRoxg//79+Hw+fVlLKHFA27LTaQ8xVPQHNJ7aatfoD7MFOT4NKeDF3KEnUl059sz+qNXnCWufhL1TVyrXrCTqyr6k3PUgpZ99TMGS54i+qjf91/yPjLn3U77tR/ZMuYEjDz1M8br1uBtPYqaQEEyhDryGz4QlJo6Ue/5K4RuvgWQidtocKj55GzkuDVvmYBp+/gJL79H4j+1EiksnUHZWM2Vy1Woig4Afi4xuoStMsSoqKujQ6EedmZmpnzjOnDmDzWaja9eubNy4kVmzZpGdnU1WVhYTJkygpKQkyHJ0xIgRpKam8vHHH1/2tTFSjKKcTifV1dWkpGgzFJfLxa5duxg9ejSghRlv2rSJWbNmER8fT0lJCZs2bWL48OFkZGS06T3xB5r+B5DNFlRfowG+6KQtBh8Pr1v7U/E36qOlZqvhbZHhQXB6yqWGhx07diQ3N5eqqqpLOmK1tGJuTG6RZTnIlEiSpCA/avG1hIQEXC4XZ86coaqqqkXBusvl0hdDgp9CLVxAgEPTrtrr9bboktd06tzSBaK2tjaoixY1aNAg9u3b1+x+GnlpQXlIkhREeQheWuQgCspDXBAuqjzQtszg4op4aCTUVyEndEC5kK9xp44IApUXGumOYJB2FxdQue07km6/p9ljAAjt3I0OC56j/YMLKF61nPLvv8aa3pmEe57EuXMztb/+iGPiX/Cd+A3F40WOScR3bBdyaiaBcydQrQ6ND20EaotJ1nlQ0UkrikJsbCwej0fnhq+++mp27typryybzWYGDRrEsmXLqK+v5/HHH6d9+/YsXLiwWbJLa9W7d2+WLFnC119/zcqVKxkyZAj33HMPn376KZ06dcLlcnH06FH69u2rJ8sYvamFk56up/b7tcQXWUt8kUyaPE9SFUxJGUhWG2ZHKObkDKRzx4kdPxnPqeM4f/iclDn3Ejl4OPkv/Y1zq98kIrM7PZctYdDGL0m88Qacx45z4M93knXbHeS/tYqAz4e7ONi4K6LfQCIHDaN41XJCuvchtPcAKj97F0uvYZii2+E5tANz5lB8R35CTu5GoKhxU9TZKHX1e7E0UmfGTdGqqipd13/FFVdw5MgRhg4dyvbt2xk2bBiVlZUcO3aMe+65h48//piamhpmz57N6tWrg+YFjz/+OB988MFlc1JbojtOnjxJ586d9SZp586dZGZm6u+Tr7/+mpkzZ5KQkEBRURFbtmxhzJgxpKen6zOwy9Uf2EkHtEQWn6ZwkK12Ah63NkD0eS7KrCw2JL9X85pV1cZh0kW6oylIe71eHaSF7AuCFR5iC64lQExISKC6ulpfv22tYmJiqK+vD9JTGkEaLq6MCxCMiIjA4XAEcbpWq5W0tDSSk5NbBGufz8e5c+dISEhoNikWUjzRORuB1dhVC99mcbtLKVdENeW6RSUlJREfH98s7LNbt276wLBHjx6cOnUKl8uly/PEcyFOMUIvHRISolMgYgiqKEqjyZIP7OHgrkWKiEetLcOU2FFzSlNVzMmd8BWdRHaEg6rir77YkbnyThDW80os0a1nIgI4evSi0+IlVP34PQXLX0SyhZBw3yJ8JYWUfbwS24gZ+M4cxV9+ATm+Pb5D25ASOxMoyUOVrZpbW8CvLbzIF4E6EAjontpxcXG43W7i4uIoKCjQddSjR4+msLAQRVEYNGgQr776KhcuXOD+++9n4MCBzJ8/vxn/31olJSWxdOlSzp07x3PPPUdaWh0p3rgAACAASURBVBoLFy5k9+7duN1uMjIy2Lx5MwMGDODkyZPY7XZqa2tRFEXXUwtvakGHeAPgNzWqPxzRyKHhyJHxSAQwd+gJdeXYMvujlJ4lNCGSyBHjqP5mDUrhcTIWPINksXLy8fso/eITJDVA/Ohr6P7s0wz+9ms6z3+MgM9HRK+e2JOTmj2e+KkzcR74TRvCjpuB91wB/rISQobdiFJ5ATWgYkrshFKUg5zYBaX4hBbkUF0CFiuy4tYDmwU3LVwNxSJScnIyFRUVdOvWjb179zJ9+nTdi3r06NGsW7eOYcOGERUVFdQ5t2/fnuuvv1430GqthImYsYR3iKjc3Fz69esHQGFhIfHx8Xoowd69exk5ciQpKSmcP3++RflrS/UHuuCBbDHr6g7ZrnXQsqVxgNgI0pLFrpnsmBt5ShGt1EIn3ZTuEBFIiqI083gODw9vMaxSJKuI7aNWn4gmnTJoF4KGhgb9ihcdHY0kSUHyu/bt21NSUtJMfme320lOTiY1NVUH68rKSoqKioiJiWkRMI1SvKb/rqur0wHb5XIFeX8YtdQtBdhC84ABY82cObPZcS8zM5Pc3Fw9R7Fz584cOXJE9/xITEykurpadzITFxjBv6qqqg/NAoHAxTmEPVzTSUfGo9ZcgPBYkCTUqvNYOmTiy89GkmXsXXviOnFxrd+akISv/NKdjvG2nV74B9a4BPIWPojrTB7xcx4lpFsfyt7/J9YB1xGor8F7OhtTh174Dm2DuPYEKgo1i9W6CvB7kBUPFtNFl0MhBfP5fCQkJOB2u0lJSeH06dMMGzaMvXv3MmjQIOrq6qitrWXSpEksWbKEkydPMmvWLJ1vbuuH0+FwsHjxYhISEnj88ccJBAI88cQTNDQ0sG/fPoYPH87GjRvp2rUrdXV1VFZW6pFcfr8fp9OJx+PRfKkbwdqvBDT1h8kCkUlIkoQpsaM2VEzphGyxYg4Lw5zUASXnF6KHj8TetSfla1diC7PQYcGzuIvOkvPXv1Dwr1dxHsoCCSL79qHjvAfotXwZNoPMU3G7qNmzk3Pv/Bt7+w7a3MlsJuSKfriyszS/8D4j8BzajrlTP5SyQlSLHclkQnVWasPm+iqQzciKX5eyComk2+3W/XcSEhKoqqqiffv2lJeX67FcmzZt4tprr+Xs2bPk5eXx6KOPsnnz5iBHu9mzZ7Nly5Zmp2ljteRc2TRT1Djcr6qq0kNxxWJSWloaqqqSl5fXaqJM0/oD6Q4VyWzspG0E3I2dtKcRpH0ebYDo82iOeAHDangrnbTP59OjrwRPWFtb22x42BJdIeqll15qU6R6U/tO44AQtA+rENSLCgkJIT4+PuhrxrLZbDpYi9OAEYhFqaoa9KKKf4vbNuWqjYBrpEFaA2mj9rppjR8/npMnTwZNvkNDQ0lNTdVNqq666iqysrKIi4sjEAhQW1tLamoqBQUF+sUtJiaGqqoqfcFFuBjqlIdsAiRdjieFRICzAlNqd/xFOZgSOqA2OFFqKwjp0RdX9kWDemtCMp4L52hryRYLSbffTcq9D1O4Yinn17xH+LDxRE28ibIP/onUoS9yRCyu37Zh7jIIf/bPEBZPoKZMUyi5ajVbTUXjRCVJ0lUe4igr4pMyMjLIy8tj6NChHDlyhB49emCz2Thx4gSzZs1i1apV7Nmzh4kTJzJ37lyeeeaZFqWPLZXJZGLu3Llce+21PP7445w+fZp7772X7t27s379eq699lp+/vlnLBYLKSkpHD9+XA+7tVgsehycuKDqW4qYteWX8HiwhmIKi0aOiNOGdelXgLMUe+YAVJcTig4TP/12TKFhVK55k4huXejy2ps4umdy4dMPOTFvDuc/+QBPifbZ8VVXUvnDJvJffZacubOo3PotoT16kT5/8cX3V2Y/XMc0btjSqTeBmor/R9x5x0dVp/v/fc7UzCSZ9F5JQoBQEjChgxR1RbGs6OqKddVdRcW2VlxQ96oLq+taFnR/rmtBZe2IXTqKghA6hPTe2yQzmXrO74+TczKTguj13vu8XrwgQ9HJnPOc5/t5PgWpuw19VgH+k3sUGKq5QmHg9Nn7vcG96HWihk+rHvNtbW3aqVeF5mbNmsWuXbuYMmUKbW1tVFRUcPHFF/POO+9gs9lYvny5xm8HZQC76KKLeP7550dcIo7UpAP3DYH3YuD9W1dXR1JSEqIoag/RQM3CqeoXhTtEoyGA3WHWJmjJ4+r3mHZpGLXGldYYHuq/M7RJqzQ8VVgQmNOnQh7JycnDuroBwzat4Wo4j+VAKp76Z5qamoI+yOTkZLq6urQor+FKbdbqwnFwOZ1OLTgV0JZw6oQcCFc4nc6gzXDghRGoRAysUzVpk8nEkiVLeOutt4JenzBhAkeOHAEUVzHV/1hdxqpmTOrS1WazDWnSLpdrQGCjerZYbNDXjRCRgNzViC45B6mlGvw+DOnj8FUdI2RsAZ66KnzdyqlFHxGJ7Hbjdw5lFajl7+uj5pV/07Z1mwZJhU2cTM6Tz+NurKf8T3dhSEgndultdLz7L3y6UIy5Z+Dc9SG67DPwle0DoxW5rwepr1dxbHR2a/7H6kTt8/mIjo7WJunu7m6ysrIoKyujsLBQk89nZGSwa9curr/+ej744AM+++wzpk2bxp/+9CeeffZZPvzww9NiAgmCwMUXX8ytt96qRTldeOGFLFmyhNdee43CwkIaGho4evQoU6dO5dChQ4SHh9PY2IhOp9MYR3a7XTt9ut1uxaRJpy4VExCQ0SVm9U/V2QimEETJjXniTDzHv0Mv9xB3zW34OlppWftn9EaRUX/6Cxn3PYLs8VCx6o+U3PE7Tt7zB3qPHiRi1jzGPPcqmQ89Tsw5i4OgKlPGaHydbfi62hFEHaa86biPfIMudSyy047U04kYm47UUKI8SOzNClTqVWAPlYqnmpX5fD5CQ0PxeDyEh4fjcDgYNWoUe/bs4bzzzuOzzz5j0qRJyLLM3r17OeOMM5g5cybPPvus9hlcc801dHR0cMUVVwxLyxvuNKp61qgVeC92dXVpTVqNogPFD2nUqFH/+zxpVcwi9S8ORZO5n92hLg5VTFqFO4wDDA/ZH5QqrVK3BEHQYplUyEMVTgBBk/TEiRM5fvz4z8oaVEtt0oE3TkpKSlBTNplMxMbGBjVzvV5Pamoq1dXVp3XTDVcdHR0anALBRyUYOkkPbtI/BnecqkkDLFmyhK+++kp7AIKiiFOPhFarlczMTI4fP67RGlNTU2loaMBoNAYFM6jsjkCGh8Ly0Pe74oUqLI/wGOTeDsX0KDoZf2MZhsw8vJVHEA1GLBPOwLFfuVkEQcCYkISnafhpuuObb/nhiitxlJVT9dI/OXzbchz9JwN9uI30ux8mcvYCylfeg98nEf/7B+jZ+Tl9dfWYp51P384PEVPz8NceQ5YEZMmPZG9TrsnedgRZwtCfmRgIfbhcLhITE7Hb7ZrYZ/z48Rr0Nm3aND777DOuvvpqfvjhB9544w1Gjx7NU089xVdffcVzzz132m5sRUVFrF69mvfff5+1a9eSn5/P8uXL2bhxIzabjeTkZD7++GMKCwtpbm7WoA61KatQYSBW7fX58QpGJFEPtnjQm9CFRSKGxyphCVn5yF3NGJPS0Cdn4dr1Ptb0FOKuvQNvYw0Nf70PT3UJ8b+5mjEvvEba8gcYu249abffT8TMM9FZh8J6oNDzQsZM0qZp45hCfHUnkZ096EcX4Sv5HmLTkb1uxddFEMDtAEFADPChliRJa8rx8fG0tbWRmZlJVVUVY8eO1ZaBmZmZbN++ncsuu4z3338fp9PJtddeS0tLC5999hmgsHheeOEFbr/9dlavXs3y5cuDgh1+ziQdERGBLMtakIbdbqe7u5uUlJTT7hW/3CTtV9kdSpMUTP1wh9GE7HaBaQCTxuvq957ub9L9SrTA50qgqCVweThSkw4LCyM9PV2b/H5Oqb4agSIVo9FIXFyc5uUBCg49uCHHxsZq4oKfWg6Hg+bm5qAFxGB8uqenR5ukBzfcQKe8QLl4YP1Yk46KitKWK2rl5eVRUlKiNRHVwlPFpY1GIzExMdTV1Wlwk3rSCQsLC4I81PgvdAbloWyyKoGxtnjkjnp0KWOUpVF8OlJvJ5K9A+uU2Tj27URWY8LiE3E3DlW/lT/zd8qeeprRD9zP2P96jCmvv0r0nNkcuvlWSlevoa9BCUONWXQRyTfcRtWaVThKS4i/eQXuqlK6v91GyNzLcO35HGIzkNpqkXvtoDfi72hQrlF7M0rytU+D3VQlomoE5HQ6SU1NpampiYyMDCRJorGxkXPPPZdPPvmE8847j87OTp5//nlCQ0NZs2YNnZ2dPPzww6fN/EhJSeHpp5+mpaWFFStWEBUVxQMPPMDJkyc5cuQIZ511Fps2bSI2NhabzUZNTQ1Wq5X6+nqMRqMWgKsuF3t7exVOtdQvKTdawBbfz/zIBsmHLioOXXQytNVgLpgDXjeubW8TOjqH2KtuxV1dRuNf76fn+y2YUtIQ9T/u0SxLErrwCPpOHAAUJ0RDdgGeE3sR4zMV58zmKnQp45AaSyEsTmF76IwIPi96vXI6U4MnVFpeSkoKDQ0N5ObmcuTIEebOncuuXbuYO3cuhw8fJjw8nIkTJ/LWW29pQcGvv/56EGtrzpw5vPPOO5xxxhlcf/31mu9HoEWDWhaLJegEHSgy6+rqIiIigo6ODoxGI+Hh4VRWVpKRkYHf7w/yuz9V/bLxWcaBSVpnDlEmaQ32CAGPq3+BGGhbGsCVlgeoZHq9Pmh5qB4r1CONx+PBZrNpvgWgTNP/nSatUswC4Q0Y8LJQKyYmBp1ONyRePjMzk5qamp8UVtnd3a1Npyr1TpIkWlpagjCrwKNTIOtDbaAjBQOoNTj0dri67rrrePvtt4MefKmpqZql4+jRozl58iTh4eGEh4dTV1fHqFGjKC8v1xSZUVFRtLW1acnuJpOJvr4+7aEri3oF5grpp+BFpyK11SBEJSjXg70NQ3YB7hN7MKaOQjRbtBs5NG8i9uKhWG7P0WOMXvEQkVOV+CNBryf5skuZ8vZ69NZQiq+5nuMPPUzP8ROET5lK5gN/pnnDazS9/RoxVy1HZ7HS+vb/wzR1MZ7D3yLpzMhuJ/6magSLDX9TuZJ03tWAgIxeUmw11eWtGg6h0vRiYmLo7e0lPDyc2NhYDh06xAUXXMCOHTvIy8sjNjaWJ554gu7ublasWMHYsWNZvny5xqb5sbJarTz88MNkZWVx33334fP5uOuuu0hISGDDhg1ccMEFHDp0iLa2NqZMmcLhw4eJjo6mrq4Oo9FIe3s7kiQNmDP1C2C0pWK/UhGDETHEihibDh4HhlETFZxe9mCZuRjJ0Y17x38IG5NLzG//gLuihIa/3EPbm/+gZ/dmPE212gNWLdnvx7H/WxqfWYGr/DjhcxYN/Kbfh2BQwi50celI9jYEa8RA7JqxPzxCp0fwD6iRTSYToihiMBg0daLNZtNM1VJSUqiqqmL69Ol88803LFmyhJKSEioqKkhJSWHRokVDMisNBgNXXXUVL730Ei+//DKSJNHd3U1ERHC8W1RUFDqdTpu4IyMjtUHNarVqVrPq4OT1ejVPmNOtXxCTlrXgWQChH+7QWB2qsbtRmaTRmwbgDo2GNzxXWjXxdrlcmp9BZ2fnkOVhTk4OjY2Np80/HK5US8TAGtx8BUHQpspAvmVYWBg2m42KiorT+hDa29spLS0lJycnCNro6OggJCQkSGno8Xi0STrwYlEtTtWHW+BxK7BGej2wUlNTOfvss4MSeKZOnaqJXdLT02lra6Onp4cxY8Zw4sQJsrKyqKmp0SKQXC6X9nOg8lD9fkjqeclgBmTQ6RAs4dDZiC5jAr7Kg5jGTcV7cj/4PITPXYR92yeKI1zRLHqK9yK5gy0ejTExQQIK7fXISDKX3UzRB+8RNm4sR/94LycffxJDbALZjz+Hv6ebisfuwzrtLMLPPI/Wt15EN24O/vZGvO2tCNYIfOUHNBMg2WBRGrUsofd70PVLltXoNLPZrP2wWCyaEnPChAl8//33nHPOOVRXV6PX61m4cCFr1qzh0KFDXHPNNdxyyy089thjbNy48bSOwaIocsMNNzBv3jyN2veb3/yGX/3qV7z44otMnToVt9vNzp07WbBgAZWVldriUG3O6tJs8FLR3Z/8IhssEJGE4PcqrnpGE6LRiC59HP6GEnQGHZYzL0FyOXDvepewsbnE3/BHzGMm4Wmopu2NF6j/8+20vvZ37Ds/p2f3ZhqffoDefTuJumAp8TevwJytBM7Ksoy35oQSWgAQEAShOiYq9M0eLYFe7RGqA6Mqt05MTKSxsZHRo0dTWlqqDW+TJk2irKyMvr4+LrjgAt555x1kWWbRokVs3759WP+frKwsIiMjOXjwIO3t7UN2SqIoMnPmTO0eCaTtBoY5q81ahQNHUgYP+1mf1p86nZL7vTs8Ch6pM5s1dofClw4ZaNYel8Lu0CZp74hcafVCDwToB0Me6vLQYDCQm5v7k828A0vlAQeWxWIhJiYmiMERHR2t2UgO/vtGo5GDBw9SX18/oslOc3OzhpsNTr1pbGwkMXGAa9rR0UFUVJTWiLu6urS/E+hDDcOrouD0mjRAQUFBUGJLYWEhe/bs0T6T7OxsTp48qTVpdSFaWVkZJHAJTBVXH7Aa5KE3KgtEaxT0diDGjUJqrUJMykHqbAZRhy4hA09pMSF5U5CcDtyVJRgiIrFkjca+P1jGboqNxTNMOo9a+lArKVf+ljPefgtkmX1XXk3PseOkLn+AqAXnUr7ybnxeidilt9G5cT3+sGSEUBuuE/sRE3PwHv8WIpORGks1LrXg96H3K6IXg8Gg8dvVzyUqKgq/3098fDyNjY1Mnz5di8gymUwcO3ZMy+L86KOPKCws5KmnnuLLL7/kL3/5y2kpFAVB4NJLL+Xyyy/nvvvuo7i4mFmzZnHzzTfz5ptvYrPZGDVqFBs2bCA/Px+TyURtbS0Wi0UL221sbNTCl30+n4Zf+9SlIiKEx4EpDFGnUyAQdy+6uDR0Sdn4y4vRm41YFlyB7HbR99VriI4WIuaeQ9I9T5J4x5+x5E/H19mGu7KE6EtvJP7G+zBnjwtanPnbGhAMRnQRyulRMFrA09+krQFN2u1ASTcWEWS/ZsKk/qzyqFU7BUmSNCZFTU0N+fn5fPfdd8yYMQOXy8WBAweIjo5m8uTJfP3118N+nxcuXMjnn3+O3W4fMkmDMhyqzKjAJq1qCYxGo2aZoA6d/ydNWpYkBJ0ORBH8/oHFoUmBN4J40h5XMNzhH1l1qMIdqh2mKipQm3Sg8hAUHPW/A3nExcXhcrm0KUMt1U85sMaMGUN5eXnQslKv15ORkcH48eNxOBwcPHgwyM9DlmXq6upoaGggLy8vqMGqv9/U1ERCQoL2WkdHR9ATPHCSdjgcQZzrQEwssE63SavwReDXHo9Hg3Zyc3MpKSkhPj4eSZJobW3V1Ikqy0Ol4qmueKoHCxCwQPSDKQy8/acrQwj0tKFLHYu/6jCmCbNwH94FskT43HOxb/sEANuMuXR/G+zDa4yNxdP64w6E+lArox96gJw/3s2JVY9S/vTfiJi9QIE/3n6Vzt27iPv9Azj3f0tfYxvG0VOU5OvUPHwnvofQaKSOOiTJD84O8DjRSR4MokKVUwMeoqOj8Xq9WuyYCpcVFhZSXV1NaGgoBQUFfPnll1x55ZWcPHmSf/zjH9hsNp566imsVivLly8P+hxOVWeffTb33nsvTz31FO+//z5ZWVncf//97Nmzh8rKSs477zw++ugj/H4/+fn5HD58mIiICKqqqjCbzXR2dmoOk4EJ5T6fHw+i4v+hN0BkMsgSuoh4xIh46G1Hn5GHGJOM78S36KwWrIuuQwyPwrH5LXo/Wou/sQzL2HyiLlhKzG9vwZSRM+x78NUcR582RvtaMJmRPcGTtCDqlBOY26HoLHxejVigXmvqTkQdGNRrU1VnFhUVcejQIRwOB0uWLOG9997D5/OxePFiNm3aNKwgbuHChbz33nuEh4cPa1WqLtIhmA0WyBYLCwsLsk34KfWLNmlQ+KmS14vYP0mLgbBHANwh6wwB/h3Dqw7VqVCFGVRKl9qkZVkOgjtA+YZ1dHQEsRR+SgmCMCLkUVtbG4Q3h4WFkZCQMGxWoNlsZvTo0eTk5NDS0sLhw4fp6uqiqqqKjo4O8vLyhk0zVpcMgY23vb1dg0PUG0jFpAdP0v8duAMUuCdQnCMIQpAJk9qkBUHQ/KjT0tI0HM5kMmmWqJ2dnZoSUV38anQ8vUH53K1R0NuOGJeJ1FKJLm0c/sYydJFx6CJi8Zzch7VgBt7mOjwN1dgKZ9B79GAQFc8UF4v7FJP04IqaOYMp61/HZ7ezf+k1eHr6yHrsbzhLT1D/r7XEXHsHUp+Trm93YCo6F9eeLxHis/BXH0VGh+zsQXLYFdjO0dVP0VNYNSqXOioqCo/HQ2JiIg6Hg4yMDBoaGsjKykKWZRobGzn//PP56quvmDp1KlFRUTzxxBN0dHRw2223ceWVV7JixQo+++yz05q4Jk2axNNPP822bdv461//itVq5d5778Xn8/Huu+9yySWXUFdXx7fffsu8efM0DFVlG+j1epqbmzEYDNpSUfWqVrFqCVHxfQ6LQZC86BIyFZy4twNDbiFiaBTeA18h+l1Y5/8GY8F8vDUn6Nmwhr7dm/A11+C3tyO5HJofuFre6uMYVKgDEIwhWpPGaAHJr7DCVMhDZwDJj8BAYLXf7yckJASv10t4eDhOp5OwsDDNTTM0NJS2tjYKCgrYsmULeXl5REdHs3PnTsaOHYvFYmHfvn0MroyMDE23MFwlJyfT2tqqcefb29txuVya2tntdmtN+v8W7pD63eCMCuQhmkOQ3H39zXkA7kDUaUtC1UNa40kPmqQD00YCRS1msxmdTofT6cRms+FyubTloU6nY+zYsf9tyGMw51oVrQxu3qNHj6a2tnZYPAuURp6Xl0dKSgoVFRU4nU7GjRs3YsNsaGgIgjpAMWNSm7S6NFSf6IPl3iPZKY40YQ8uNSU88H2qjm+gHOe6u7vp6urSvs96vV77ngVCHq2trRrkoeKG2gJR1x/8YIlQwgBCQpUHtasHXXwmvuojmCYvxH1gG0gSYbPOoXvLx+isoYSOz6dzx8DR1JSQgDOAKnU6ZbCFM+aRVWQuu5nj9z9I5bp/knbHgxgio6h87AFC556PKXM0be+9jqHgbNxHdyMZw5G6WpDsnSCKCvNDEMDe0k/R8yKKwhBjpqioKO3I7XQ6sVqtpKens3fvXs4//3xKSkrQ6/UsWLCANWvWaGyENWvWsGnTJm3J+GMVFxfH6tWrAXjwwQfx+/3ceOONTJ8+neeee45JkyaRnZ3Nhg0bmDx5MmazmZqaGm2PEhYWpgUrezweHA6H1qz9fj9eWcCnMynZlRGJYLQgCjK65FzwesDdg2HSPMSYVHwl3yFXH8Q0Oh/r+TchGM307d6E4/N/0/vuM9j//Qjdrz6C/c0n6fnP08guB7pYJQFK9nnx1ZVo/UEQBDCGILsc/awgxQkTnR5B8mm9IpABpibANzU1kZ2dTUVFBZMmTeLw4cPMmTOHsrIyWltbWbJkCZ988gmSJHH++efzySefDPu9HTdu3MjXksFASkoKpaWl6PV67dc6nY7ExESqq6ux2Wx0dHRgMpk0TcQvFkR7uqU+E0SDEcnrQTSF9E/SCstDEHWg1ytqQ2OIsq01GPuhDh1IA4G0g1NGToVLD14eggJDnC69ZbgK9FMOLBWHDSyz2axJpkd6MqrS9MmTJ5OXlzeiz4bH46GhoYG0tDTttd7eXnp7ezUzpsGsj8FUvcFqRLVGwqqHq6ysrKCjdkFBAVVVVbS3tyOKImPHjuXIkSOkpaXR19en3Qiq1LWxsVEzwlGhKjX/UPXzkCS5fxryaWY6YkIOUmMZ4qh8/DVH0YVFok/KwnVgG6FT5+Gpq8BdU078pUtpef8tvB3K9B4+Pg+f3U7PiVN/5vaT5fgcwVhvzLwzmfLWeiS3m+LrbyJ85lnELl5C5Z8fQDKGEXH+FbS//yokjMXf0YSvsx10Bnw1JQiWSPyNZcoDp6sBQZb7F4oCZrMZvV5PSEgIJpMJs9ms/VqNWysqKmLv3r1MmDCB0NBQDh06xNKlS9m6datG0/vb3/5GQkICy5Yt05JGTlVms5l77rmHrKwsVq1ahdvtZv78+dxyyy28/vrruN1uLrroIt5//33CwsIoLCzkwIEDGvdflmX8fr9m/9nZ2Yksy5r/h1+S8AoGJEGnLP8jFYGGaDKjS8pB7mqG3jb0OWegHzsDqbMJ775P0ZnNWOctIWzJHYQvfYjw6x4h/Ir7Cb3wFixnX0Xor29TrtOaY7h3bkB2dGOcegGAonr0uhSmh8+lBBtDv3vmgPOjeuoOhD66u7uJj4+no6ODxMRELSBhwoQJHD58mNTUVGw2G2VlZcyePZvS0tIh7C6AtWvXagG3w9WMGTPYsWMHoATgfvrpp8iyzIQJEzh48KBm9BYVFUV3dzc+ny/Ig/pU9QsuDvud4IwGZI8Kd/QpjVmWkX1e5QijQh6evgGGh25A0CIwPC6tNml1oTIYlw50sMrIyKClpeUnGfAHVlRUlLZUCayMjAw6OzuHcFozMzODcNufW7W1tcTFxQXBIBUVFWRkZGgUnsE5hYNFL6qvx+A6HRMmtdQAWrUMBgPTpk1j165dANoFLoqilsqelJSkcW6joqJoaGjQaHkqTqgS/1UoS9b1q04tNuUmNFkQjCEIfd3oknPxle3FXHgO3pP7kJ12bAsvouuzDZhS0olacC4Nr70IKMKIxIsvojGAlTK4vL0Otp/3Wz6fsoAD9z9G99GBh63BFk7uww+R8YebOHLnXfTWtpK54gnaNr1Pu1xLEQAAIABJREFUx/atxF5/N47i73DZPQgR8bhO7EOMScNbsgfC4pCaypEFHXQ3Ifg96P0eDDolXSckJCRooRgXF4fH49HET1OmTNGCjGfPns3mzZuZN28eaWlpPPbYYxQXF3Pdddfx0EMP8eqrr7J69eofZS8JgsDNN99MUlISjz76KG63W8Opv/nmG3bv3s3SpUvZtWsXJSUlLFq0iIqKCi3RvrGxUeNYGwwG+vr6cDqdWqiA3+/HK4FXZ1K8TsxhEJEEPjc6Wwy65DHg7kVuOokuJhlj4SIwmvEe3o7763/j3vkfvAe+xl9zBLmnTdFMdLfi+eZdpKYKjJPPwZi/ANGihC5IrdWIMWnKoOd2KH4eg96vLMsabddkMmknSnUfoqphk5OTtZzEo0ePIsuyhlebzWYuvPBCNmzYMOR7GhoaekoZ97x589i5cyder5fCwkIcDgfHjx9n/PjxlJeXY7FYCAkJoampieTkZGpqaoaFO4er/wFM2ojkcSOGhCD1J6douHR/KrSKNwn6/sxD1XxnmOWhz+fTmrQqN4ahTTpwktbr9WRmZp62kc1wlZOTM2Qa1+l0jB49esg0LYoiEyZM+G8pHiVJorKycojHbEVFBaNGjdK+bmlpIT4+XvtaVSqqNZJo5b8zSYPiu6tOCuPHj+fEiRP4fD7tCKkmipeVlWnLk7i4OLq6urSEFhUbVGl5fknSFkCExYG9BTExG6m5Al3GRPytteB2YJo0F9d3n2IpmInU56Tv+AHiLr4cV3UF9n0K9Slh8WLatmwbMZevfuMXxM4sYv7m9zHFRLP7qmVsO/dyqt58D59qf7twAQWvvEz79u2UrnmG1DsfRhB1VD/9OBEXXg2iju4932EYM5W+/VsQ4kfhqyhG1ocgdbcgufvA2Q0uOzrJi0FQGocawTXYnCk1NZXW1lbi4uJISEjgyJEjnH/++Zw4cQKHw8ENN9zAp59+yosvvkhKSgrPPvssERERLFu2bEhQw+ASRZHbbruNiIgIVq1aRU9PD9HR0dx33310d3fzxhtvcMUVV+BwOHjnnXeYOXMmJpOJsrIyYmNjKSkpISIigt7eXrq6ujAYDNreQcWqZVnGIwv49UrqEmGxyo7B3YsYEoouYxKIeqTaI4g6EcPEMzHOvxpD/kJ08ZnIkh9/QynefZ/hK9uHfsw0DIXnIdoGmqHsdSHbWxCiFWMiVMhjhPccGBCteuXY7XbttK1676iQYmNjI/n5+Vrw7/nnn09xcXGQeO10Kj4+ntTUVH744QdEUeT8889n48aNmEwmcnNzOXTokHYSz8jIoLa29v8ek9aZLfhVnqO5vzmb+puzMURRIRqMij+CTj+sZWmgoEVVHfp8PrxeLxEREdjtdiRJCrItVUsVXvzcys3NHbbJjx07lpMnTw4RrERGRpKYmHjagoTB1dTUhMViCaL49PT00N3drRmKgzJJD27SgZP0SHBHYNL4j5XabAMrPz+fhoYGzZY0Pj6e0tJSoqOjiY6OpqysTPOviImJwePx0NvbGxSx1dHRoflNq6ckWUttsSqnMUFQ4rU66zGMmYb32C4MY4uQHF34604S8atL6fr8HQSdnuTf3UrDK//A3+fEGB1F5PRpNH/y6bDvqfrt90m7/GIsyYmMvecWztn7JWPuupnGL7by+ZSFHHzgz3g6uzAnJjJp7QuET5zAwRv/QMj4ImLO+zWVj69AnzaG0KnzaP/4HXS5M/Ac34tsDEPqbELq6QJZxt/ZpDBX7C2Ish+D7EUnioSGhiKKoqZqtdls6HQ6bDablrAybdo09u/frwleVLP4mJgYHnnkEY4fP85NN93EPffcw7p163jmmWdOeVrU6XTcfffdZGZmcvfdd2u0u1tuuYWMjAyeeeYZZsyYwdSpU3njjTewWCwUFBSwb98+jTqoMonq6+vR6/U4HA5cLpfmBeLz+ZTFoqBH0hmUe9gWr0BYfd2Ieh26jAKE8Fik5gqk4zuR22sQzCHoR+VjnHwOprlXYJp5ieJxLQjIPg9SdzP++hL85fsQIpMR9P1EAwHF5hgUdFQYmKQDbSRUaFRd2Kk9IjU1lbq6OiRJ0phgqkS7oaEBi8XCBRdcMCRd/HRqwYIFbNmyBVDSyPv6+jh27Bj5+fkUFxczatQoGvrVr4GBIj9Wv6jpP9Dv3+HtD6L1Ikv+gEna0g93hCiSYL2pXxpuCKDhjcyVBrRpWq/XY7FYNE8L1YtALZW7eDphoMNVamoqHR0dQxaC4eHhxMTEDGvmlJubS2tr608OpFUz0bKysoJeVyWkgb7RXV1dmnxckiRNeqrWqSbp023SqamptLW1BRnH6PX6oODaiRMnar4ekyZN4sCBA8THx2vp54FRWy0tLZqNqeotohpn+f3SAB3TFq80t/hs5PY6hOhkBGMIUu1xQqadR9/3n2LKGosuzEbv3u2Ejs8ndPwkmv/zOgBJl/yahvc+GDKh9JRX4aisIWHBbO01Qacj4ay5TH/1eRZs+QAEgc3zf03T5p0Iej0ZN97A2P96jLI1f6Wz+Djp96yk6c1/0VtWQcyVy+j6+mP8oUlI9k687S1gDMFXcxzBGoW/qSIAp5bQSwPCF9U0y2q1IooikZGR+P1+jWteVFREV1cXDoeDs846i40bNxIVFcVNN93Ee++9x8svv0xWVhbPP/88er2eZcuWceDAgRE/S51Ox0033cTFF1/Mvffey8GDBxFFkSVLlrBo0SItl/Haa69l3759FBcXs3DhQkpLS+nr6yMiIoLjx48TERFBX1+fdjJqa2tTBCj9ieWSJOH1ywoEIuqVezk8XpmunV0Ikgdd0mh0o6dpXuL+47vwlX6vNO+Oevy1R/Gd2IX/+C7k9nolmzFlHGJSP3brVqboAX71wGJR/czVwS7Qg15lG6nsoujoaGpqajTII/AaBli8eDF79+4Nsi0+nZo5cyYHDhygp6cHURQ577zz+Pjjj0lPT8fj8dDe3s6oUaMoKSkhoz9V5nTqFw2ihYAAWkFANJuQXO7+JaIySUtu5wAH0mBUFoga3DFUdagekUVR1JyuVExusPIwcJoODQ3VPoyfU6pN6XAWpOribHAzMBgMTJgwgX379nH8+PEf5UP6/X6OHj3K/v37mTRpUtCELMsyJSUlZGdna681NTURHR2tMTu6u7uxWCxBcu/A4NrB/63hOJ7DlV6vJy0tbQiTJS8vT2PNTJw4UTsi5uXlUVlZidPpJDs7m5KSElJTU2lsbNSmx7a2tiBs2uFwBDM9ZL+yo9Able19dApyQwm6sTPxVRQjRsSij0nGXbyFyMW/pfvrD/C2NZFw5Q10f7cDR8lRwidNRB8WSuMHwRLf3vIqLClJiCPAPSFJCUx6/CHOeO5xDt7/GHtv/iOullZsBflMfv1VXI2NlDy+hpRl9+Oqr6H+lZeIvuIW3PU19NY0IEYk4jqyByE6VcGprVFITRXK3NLdjOBzofe7MeoUL2T181FZHwkJCfT19ZGamkp9fT0xMTGkpaWxf/9+5s+fT0NDA9u3b+fmm2/GarWycuVK9u3bxy233MKyZct45plneOSRRyguLh6RMXDOOeeQk5MTxF6YMWMGf/zjH9m8eTObN2/muuuuw2az8d5773HmmWdis9nYv38/OTk5NDU1aWlCqqmWOjTodLpgCMQv4xXVZg2ExyoN2+2AjloEyYcYk4oudwZiQpZiomRvQzCHoUufiG78PHSjJiPGj0IIjQQEZEcH9LYpdgKgpDv1n76HSyZSqW4mk0k79aoNOz09nfr6euLi4hBFkfb2di2CCxQ597x589i+PZiP/2MVGhrKzJkzee211wBlmvZ6vfzwww8UFhaydetWLYouLCzsf9+qVH2qiSYjske1Kw1BcjkRzEqTFk0WZJcTwWhBdjuVm9LrHggqHQR3qBOkJEmaUc9IuLR6PAss9fj9cyslJWXYJp2eno7f7x/SxNT/jzlz5uDxeNi6deuI03x7ezvbt2/H7XYzd+7cIVFatbW1iKJIUlKS9lp1dTXp6ena14NFL6A07sEKRkB72J1uDfYrgQGDJVCmbUEQNEl4Tk4Ox44dY8yYMRr9KCEhgcrKSpKTk2loaNC4q+o07Xa7tQcxBrMibAmPB0cHYnQKstuB4HGiz5qC99BWTNPOw1t+EFH2YVtwMW1vrkVnDiHp+mXUrfsbssdN7sqHqX7xn/SeHICq4ufPwtPRRdt3QzmwgRU7axoLtn1ISHIim+f9mspXN6APDWXc6ieJX3Quh2+/k5CJMwgvmknF4yswjZ+KOTuPju1fo8vMx3VwJ9gS8NceR/bLyM5u/L1dCo7q7FD41CgPy0C/D1CuZVEUiYiI0Pw1pk+fTkVFBVFRUeTl5fHmm2+SmprKrbfeyrfffssTTzxBVFQU69ato7CwkFdeeYXf/e53rF+/PihOTpIknn32WZxOJ3fccUfQe05MTOTee++lrq6Of/3rXyxYsIBp06bx2muvkZiYyJw5c/jmm2+wWq1YrVaOHTtGWloaTqeTtrY2QkNDNX9kUCA69UHh8cv4dGalWcuyglfHZoI1Ujk5ddQg9NkRw2MQE0YhhEX1u931Irt6kPt6kPvs0F4NTjtEpytUPE/fgAhK1GunRDViLnBxGBgUrfiaKyEVKmVXhU3j4+ODhrxRo0b9ZFwa4MYbb+TAgQNs27YNURS5/PLLee+99ygoKKCnp4f6+npyc3PZtWvX/77pv9zfiBRpeL/xf0gI/r4+RHMIsqsPwdwPd5j64Q6DCdnX36SHkYYDQctDlRTucDi0RYxKMFeVcoHT7XALsJ9SKSkpw35Qoigybdo09uzZM+zkEhISwqRJk5g+fTptbW1s375dozf5fD6OHDnC/v37GTduHJMnTx6WM33o0CEmTpwYNCFUVVWRkZGhfd3Y2DikSdvt9mGbdGBY7emUavcYWKrVokp9POOMMzT4Y/z48Rw5ciRI4JOVlUV1dTUmk0kTEqjBtap7mXrjSIj9oQAyhMaAvQVd6gSkhhLExFEKA6CxlJCZF+Lc+T7WKTPQR8fR+enb2ApnEJI1mqYNr2FJT2fUncs5/tDD2kJQ1OvJue13lPz9xR9933qrhfEr7mLWuy9T8+5Gti9eiv1YCcmXXcqE5/5O7Sv/pmP/MdKWP0Dz26/SW1FN9CXX07Xtc6TwVHyNlfgcLmSfB39TFYLJgr+lSqH89sMfBmmApqdCIGqIcVRUFF6vV8vuy8zMJCYmhrKyMhYuXEhZWRmbN2/m+uuvZ8GCBaxbt4633npL80ZesWIFPT093HHHHTz44INs27aNZ555hqamJh599NFhmT8Wi4Xly5cjiiLPPPMM48aNY/HixfznP/+hvLycCy+8kJqaGmpra8nOzubAgQNanmdNTY22sGtvb9dkz3a7XbOr9fhlfHrzQCAxKPz4mEzloSxLSvqKo6P/5y7lh7ML+roV4//otH4efb8s3BSKoDNo958oippvjCiKmnhLbeCCIGh9RYVCYGC6jo6O1qTx6rU+UpDH4FLfJyhT+P3338+LL75IbW0tOTk5ZGZmsmXLFi688EK++uorcnNzcTgcQxTMI9X/ANxhHGjSJkXIIpotGtwhuxwDVDzV3UqFO5R3DAyl1ai4tF6vx2Aw4HQ6tfgcNepdtWJUKyUlhe7u7lOa8Z+qkpOTaWxsHHYSTklJISws7JSimbCwMIqKipg4cSIVFRXs2rWLHTt24PV6mTt37pAGq1Zra6tmJK+WJEnU1tYOmaQHC19GmqRH8pkeqYZTXYqiqCkOQTnO7du3D1mWycrKorW1FbvdrsEiVquVmJgYqqurtWla3R+oE4/T6USvV6YhWW/qd8gL7xc7+RUlYu0R9Hlz8FUfQWeLRp84CtfuTURdfC19JYdxHvmBpGv+QPd3O3EcP0z8r87Blj+JstVrtJsn7dIL6TlZTvve4sFvddiyjR3NnI9eJ+O3v2bXZTdy7C/PYclIZ/Krr4Aocnzl4yRedzuSy0XtP/9B5K9/h6e1md76VgRLOK6TBxGikvGe3AeWSKSWKqWhdDch+Nzo/R6MOgG9Xq9N1ZGRkUiSpNH01OO4ulQsKysjISGB3NxcXnnlFSRJYtWqVYSFhfHII4+wZcsWMjMz+cMf/sCrr77Kueeey+bNm3E6naxateqUlC+DwcANN9xARkYGq1evJjo6mt///vfU1NTw7rvvMnv2bCIiIvjmm28YM2YMPT09HDt2jOTkZDweDy0tLdpUHRj4oBoLSZKkNGvRiGSwKA3X51Y+5xCbIo6JTIaoFIhKQYhOVX5EpSoN3etS/rwpBMFo1vpDYBMO9Hse3KQDSxVWwUCT1uv1REREaAwW1RzpxwQn5eXlLF26lLVr12qvZWVlce211/LEE0/gcrm45JJL+Prrr7XF7BdffMG8efNO+yHwi7rggQJ3DDTpfnzaZFawaLO1n+Whwh3GAeodAiCNSMNTvTsAzatY5Z+qk91geEMURTIzM3/2NG02m4mIiBgxiXzq1KkUFxf/KO0uJiaGWbNmkZ2dzfjx4ykoKDilRPvQoUNMmDAhqKk2NjYSHh4eNAkNhjvUjftwTfqnYNIwfJMGNCk4KBeyXq+nqqoKvV6vefgmJyfj8/lobm7WONeqq19bW5u2P1CPnepmXpLk/ge3C2yJ0NOKEJmIgAA9rRjGTMd7aCvmwnPwtzXgrztBzBV/oOPD18DrIvl3t1K37m/4XX1k3X0nvaVlNH28CQCdyci4+27n8MrVp019EkSRjCuXMH/ze3QfK2Hr2ZdhP1FG7ooHSb/heo7e9wBCdCoxiy+h6q+PISaPJmRMAR07tyGm5uEq3q7AH/Unkbw+5L5e/D2d4OpVjKUkH0Z8GvtDpeup/Go1XCAjI4OamhpGjx6NzWajsrKSs846i5KSEt5++23mzZvHPffcw/79+3niiSeoqqrCaDQye/ZsHnvsMVasWDFsg1bDGNQSRZFLL72UWbNmsXr1atrb27nqqqvIzc3l5ZdfJiwsjBkzZrBt2zZAYVAdPXoUh8NBYmKiRiszm820tLTQ19enCZnUBbwsy0p6uQR+vRnZGKLc8z6Pop1wOcDVo8AdbofSJ9wO5ZRlsiKIAw3X7/drgcw+nw9JkrT7yuv1DmnSp5qkITjcOjQ0lJCQkBH94SVJYv369dx4440sXLiQd999N0g2fvbZZ5OVlcXatWuJjY1l5syZfPTRR8ydO5fW1laampqYO3fuaV2Hv+AkrUybgsGI1N9MRVO/f4fZosAd/Zg0BpOCQasm8F7PiLj04ElaDaAMDIdVcemsrCwqKyuDLrz/KcgDFCe81NRUiot/fDoTBIHExMQh2PPgstvt1NXVMWbMmKDXB0MdMLRJOxwODAbDsHzonzpJp6WlUVdXN4RqOGbMGI1mqEIeP/zwAzAAeQiCoC1IbDYbNpuN2tpazXBGdYxTl5w9PT0D07TKDBAEBfboakRMzUNqq0awxSKEReGvPIBl/uW49n6B3moh/MzzaXtrHWGTJmMdO56GV9YimkyM+68/U/XCWhxlyuefumQxss9H3QfDS39HqpCEOKb9+zlGL7+R3Vcv48ifnyZ6zhzyX/4nrV99TcPGL0m76090bv2CruJioi65nu5dW/CHJivwR/9Jzl9fjmCy4m+pREYOYn/oRUFrzjqdTmN9xMXF0dPTQ2pqKn6/H6fTydSpUyktLSU5OZmcnBxefvllqqqqWL58OfPnz+f5559n/fr1Q0zCAquhoYHFixdz++23D/m9s846i8svv5znnnuOr7/+mpkzZ3LllVeyZcsWDh48yEUXXURnZyc7d+4kNzcXk8nEwYMHiY2NRRAE7SGhnmwDT00qbU+FSDxeH15ZQNKblcABc6gijjFalZ2VzgAmi+YzrSoiPR5PUAPu6+vDbFYmbL/frwVhDKaeBjZpWZaDmnRcXFwQLW6ke9/pdHLLLbewefNmXn31Va677joWLlyoLQxBuTeWLVtGSUkJO3fuZNGiRRw6dIj6+nouuOACPvvss6AA21PV/wBP2oik5hwaFZtSDe4wKxO0qsWnP04LFZf2D29Zqi691F+rkzQQhEvbbDasVmvQAjE7O3sIVv1TargQgMAqLCzk5MmTp815/LH64YcfyMvLGzJpl5aWBsEfXV1dGsyj1mDOdGCp0+rpljrJBSajgzJJl5WVaRCQSsuTJInMzEx6e3tpbm4mNzeXuro67Ha7JrO3WCxYLBaampq0qcVoNCLLsuY/7fV6kfVmZbIKCVcmKJcdMXksUvUh9KOLlDzEPjvmaefh+OoNrJOno4uIpv39f5NwzR9wVVfQ9vG7WDIzGHXnco7edz/ebjuCKDLpyYc5/KfVOGp+mjpUEARSLz6PBVs+wFlTz+Z5F9FTUcukF9diHZXJkXvuJ2rRbzBEx1Hz3FOELVyCz95NT1U9WCJxHfsBopLxlu0DYxhSW61y4rS3ILgd6CQPRnFA/KL6pqvsGPUUpFIbs7OzCQ0NpbKykrlz51JZWckLL7yAxWJh5cqV6HQ6Vq5cycaNG4OolIHvJzc3l4kTJw57bxQUFPDggw+ya9cuPvnkE5KSkvj973+P0+nk888/Z968eUybNo2tW7fi8/koKiqivLwcu93OmDFj6Ovro7a2lsjISHQ6nRYSrRpQdXV1aZQ4leXj8Xhwu914PB68Ph9+GSRBxC8pVD+3261I0/vTh0wmpXH39PRoimS3201NTY32vWtpacFms+Hz+bTEIIfDoZ0sApv4YIe68PDwYaHSvXv34vV6+ec//0lqquI3cuONN/LFF1/wxRdfaH/ObDZz++2389JLL+H1ernssst48cUXiYiIoKCg4JQy88D6xRWHOpNCuwMUabhbVR86Ec1WJJdy7FGELc7+YFqX0qR9A01afdKq5inqUcbtdmtOV2owreqIB2jRTmrZbDbNP/fnlHrUHKnJW61WZsyYwdatW3+yBeHgam5uprGxkUmTJgW93tvbS1NTU1CTVpWIgdPxYKFLYP3UJg0KTDP4uBcWFkZkZKSGpyUlJREaGkppaSmiKFJQUMD+/fsxGo2MGzeOAwcOEBkZic1m004DjY2NGqG/vb1dy6hT/x/9kjQAe0QkgqtXwSEjE5EaStAXnIX3xLfoo+IxZufTt/lNon59Lb6WBhzfbyHjj6to/3ITXbt3EP+rc4iZM4fjKx5G9vmImjyRnFuvZ+/v79ZguZ9Spthoil56igmP3s/+Ox6i+O6VJF1+BWMeWUXZmqdwtvaSeN0y6v/1Ah7ZiHXybDp3bEZIGI37yG5kkw1/Wx1STzf4ffg7GpUhpbsZUfJjkD3odaK2VDQYDJoAJiYmhp6eHlJSUjAYDPT29jJlyhSampqwWq3Mnz+fffv28cYbb2hNtrW1lYceeohNmzYF6QgSExN5+umnuemmm0a8LqKjo7nzzjv57rvv+PzzzzEajVx66aUIgqDBHxdddBHl5eXs3buXadOmAbB7925CQkK0oOKuri7i4+O1xu12u7UHT3d3t2aPqtfrMRqNmpxbnZpVip2avKL6M6ucfJVE4HA4qKurIzo6mtjYWM2CNS4ujpqaGqKioggNDaW+vp7k5GQEQQjywhlsqTCSAOzEiRNMnjw5CD6MjY3l73//O3/961+D1KDjxo1jzpw5rFu3jqKiIs444wzWrVvH7NmzmTNnzmldc7+o6T+AYApeHA5M0k6FMuPzIvt9A8IWg1lZHuoDJmkpmOERqMl3u93aDa4uKNQLFgZYCYFNdcqUKXz99dc/a5pWhSKnsj7NysoiNjZWc4r7OSXLMrt376awsHAIXKHypQMvmPLy8iHil8HmS4P//Z/apKOioobF5AJxaVCwefXCLCgo4PDhw3i9XiZMmEBlZSW9vb2a97bqDFZVVUV0dDQOh0OjVqqwh9/vVwx8RJ0yUUemKCKXqGTFv8HeimHCPDzFX2HMnYJoteH+/lOil95G73db8DZUkv7HlTT8ey2OkqNkLrsZgIoX/gFA9u+vwRQbzZH/+tuPfg+6qmr5fNmDlH2yGX9AU088+0wWbN+IISKczXMvpLushoLX/423o5PSp54l6ca78Xd20PTBu4T/6gp6Dxfj9prwO+x4murAYsNbcQhMofib+yG67kYEb/9SUVSWeWFhYRo1T6fTaRQ9t9tNdnY2HR0dxMTEkJGRwYEDB8jNzWXOnDls3ryZjz/+mLPOOot7771Xa9YffvjhT0ouioiI4K677mLnzp189dVX6PV6lixZwuTJk/nXv/5FRUUFixcvxmQysXHjRtLS0jjjjDOorq7W6Homk4kTJ04giqJGO6utraWrq4uQkBDMZjMej4fu7m7a29vp6urC6XTi8/mCMOe+vj7sdjsdHR20tbXR1dWF2WwmLCyMtrY2LeMwPDwcSZKorq7WIMLKykrtfqmvr9eoraosH4aqddVkqMF14sSJIXAkKAK6J598kgcffDDIUuKqq66ivLycXbt2cdFFFxESEsJbb7014ql3cP2iQbTQP0kHYtJuF2KIBalPgTkUhodTY3gIBpPiE6vCHeIA3KGWilcGLg+HE7WovzaZTEHLvqKiInw+H/v37//J70sQBG0iOFXNmjWL2trany2eKS0tRZblYZ2xjh8/ztixY4NeG6lJjzRJ/5yKjo4esUkHXoSFhYXs379fk+snJydz7NgxzGYzY8aM4cCBA4SFhREXF0dFRQWJiYlasEJcXBzNzc0adSoocVxvUh7+ggC2BOiqR0wdi9zbjiAK6LOn4N3/Jebp5yF1t+GvPEjs1XfQ8dHrCJKP1JvvpuZvj+NpbWbsnx+jfccumjZuQhAEpvz9v2j85GsaPts84vuXZZkvb3sYX5+bvX9/mbXZs/jitoep3bkHWZIwhFqZ+Oj9TF+/loqX1/P9dctJvvY6Uq9ayrH7HkSITifu4ivpvlgsAAAgAElEQVSo/+fzCPFZ6GxRdO8/gBiboXCqI5PwN5QhuT3Iju6BpWJPW7+kXJmqVfc8tWnLskxCQgIOh4PIyEhNep+fn4/H4+HAgQOcffbZTJ48mffff5+tW7eyePFiHnzwQXp6enj44Yd59913T8v+FBRI8a677mLr1q1s3boVQRAoLCzk6quvZteuXXz88cdMnTqV/Px8Nm7cSHl5OUVFRaSnp7N//346OzvJzs6mp6eHw4cP09vbS2JiIlarldbWVpqbm/H7/VgsFm3aVT1eVL9rVShjNBoJCwsjOjqamJgYjEYjdXV1eL1e7YEACuZutVqx2Wya3DsyMlKTf6tWCy0tLVqTHjxJj6QtGKlJgzIQ3n///dxxxx2aYtFsNnPnnXeydu1a7HY7N9xwAxUVFezevfu0vv+/uAueyugABoz/1UkaFIaHy9HPlXYOTNKDMOmBjb+kYdEqdUaWZU2TD2hJIGoNhjxEUWTx4sVs2bLlZ+UfBqYtjFRGo5EzzzyTHTt2DIsBjlRut5tvvvmG77//npkzZw6ZdltaWmhqamL06NHaa16vl7q6uiGLxMAL7peo023SUVFRJCUlaQvFKVOmaA/EiRMnUl5ejsPhYPTo0VRVVeH1erUTjzpJqbCHy+UK+sxlYz8+bbQoVK3uFnTp+UhNZYiR8Yhx6XgPbSNkwRV4Sn5AcNuJ/s3vaXvzBcxJScRfupSq1SsRBJnxT6+h8h9r6dz7A8bICApfeorie1bhqB5+MXz0rQ/pa+9k0Ut/4Yov3+Tqbz4kYlQam+/9My+OPZNtD/2F9pJyIiflMffTt0g8dwE7L7yKjqMVTFy3lo5du6h6bQMpdzyEq6qC9t3fEzrrV3Tu+Bp/eCq++gq83V1gMOGrPQE6I/7mSmRZUpaKPk//VC0MmapFUcRisWiBvzk5OXi9XiRJoqCggOLiYhobG7n66qtJT0/nlVdeYc+ePfz617/mT3/6E16vl5UrV7J+/frTkj9HR0dz11138cUXX2hGW/Hx8dx0003o9XpeeuklwsLCuOSSS7Db7bzzzjs4nU7mzp2LXq9nz5496HQ6xo0bh16v58SJExolMyYmBq/XS3NzMxUVFTQ3N2vUzIiICC2qTl2q+v1+7SFfXV2N1WolKSlJg0jq6upobm4mPT0dWZaDBpqmpiZCQkIICwvTch7VidbpdA5p0oMn6fb2dvr6+oJEZoNr4cKFXHPNNdx6661aXxo7diwLFizgH//4B2azmVtvvfW0E+J/eRc8oxHJHQx3CCEWpL5+LLofl9ZoeIMmaUGl4/UrDgMZHoGJ2KoYQpKkoOUhDDTpQHgjPj6eKVOmBAH7p1tq7uGPwSVJSUnk5OSwadOmYU2Ygr5fskxpaSn/+c9/kCSJSy+9dNgGu2PHDqZNmxZ0sVRVVZGQkDCEVnUqTBr4yXCHaoo0uDIzM2lqagp6GE2ePFlrzDk5OXR0dNDc3ExISAi5ubkUFxdjsVhISkri5MmT2Gw2wsPDNXvW3t5ezRCnu7tbw9r9fknzesEa3a9I60FMm4BUcwhd2jgEowl/+X4sC35L37cbMYRZiTj3MlpeeZrwyYXYimZS/ddHMcXFMvbxP3Pi4ZX0lpYRNXkiubffwJ4b78TbOzS0YcefnuLMx+9H7IeZwlOTmHrnjVy7eyNLPngZncHAW2f/lh2rnkLy+cm+8Srmf/0e3cdP8u3SW0i6+jpi5s7h8PJ7MGTnE3XWedS/9jLG3DPwdXbSU1GDEJGA69A3CFGp+GpPIPlRggUcPdDXo6TWyD4Mslebqs1mMwaDgYiICPx+PwkJCZp6c9SoUTQ1NZGenk50dDQff/yxxoEWRZEXXniBQ4cOcdFFF/HII48QFhbG008/zZo1a9i8efMpfWdiYmK46667WL9+vZZgYjAYWLx4MfPnz2f9+vXU1tYyf/58Fi5cyIkTJ/jkk09ITU1l+vTpdHV1sWvXLnp6esjLyyMuLo7GxkZOnjypMVkyMzO1ptnR0UFFRQWlpaWUlpZSWVlJfX09zc3NtLe309PTQ0JCghYt19HRwdGjR7Hb7UyYMAGTyURNTQ2CIBAbG4skSRw8eFCzWqivr9dsFlT6aiDcMRwmffLkSXJzc3/0Xrr88suZN28ed999t9YHli5dSnV1Ndu2bSMmJoZFixad8t9Q65cXswTCHeZ+4/8QK1KfU5F6h1iR+3q1Ji2o6eGiTpmgJX8Q5KE2aRWfUt2t9Ho9ZrNZi8hRRS2AFto6eAqcPXs2VVVVP5mJERMToxmh/1gVFRVRWFhIeXk5b775Jrt37x5yrOzu7ubTTz/l0KFDnHPOOcyePXtYHqsKnxQVFQW9fvjwYfLy8oJekySJmpoabds8XP1UTH4ke1ODwaD58qqlWpaqU3BRUZF2nMvPz6e8vJzu7m5yc3Npamqio6OD9PR02tvb6e3tJSEhgaamJgRBwGQyafi0JEn4ZfoXiU5lkejpQ5AlhfFRuR/96CJwO5GbSjHPvRTn5rcwJyUTNutsWv7faqLPWYwpJY2q1SsJGzeG7D/ezZE77sJZVUXWTVcTkT+e3UtvGRIIMPrCs9n3wr+1ASSwYsblMHvVXVy7ZxOdZdX8e/oF1H2zl5CkBKb96+/kPXQnP9z8RzpKahj/zNM0b/yYho1fkXb3SnqPHsZeWkXI+Kl0bv0SOSYbT8VR/C4vIONrqEAWBGWqltSpegCrVgUwgcwPg8FATEyMZnIfFhZGZ2cnEydOpLe3l40bNxIdHc3SpUvp7u7mueee44cffmDhwoU8+eSTnHXWWdTW1vLEE0/w6KOPsmHDBj7//HM2bNjAunXr+Mtf/sIDDzzAqlWrCA0NHTJJ5uXlceWVV7Jp0yaOHz9OfHw8F1xwATk5OXz00Ud0dXUxZcoU5syZg8/nY/v27Vq6T05ODi6XixMnTnDo0CGam5sRRZHExESys7PJysoiJyeH7OxsMjMzSU9PJzU1leTkZIxGI/X19RQXF2se5mP/P3HvHRfVnX//P+8UmKENHUFAUFA0gGIXbLG32FvsxmhMYqLJutlks5teTdwYk2xijL2X2MXYFcWKilgRRBBp0vv0+f1xmStINZ/s93ceDx8P1IGBy8zrvt7ndV7ntG2LUqkkOTmZ5ORkIiIiMBqNUoMWFhaG2WzmyJEj0rDz3r17qFQqqVEyGAykp6fXej9V77wbw4IFC5DL5dLz2tjYsHjxYn799ddnqkF/uQte7SJdgUxpIxZcgx5B7YClsryaZrqqSINoQfiUDM+q77VuLVXfFrLy0tYjoLWbtuYUPs0jW83rz5w580w/miAIUqBlUx4bEBDA0KFDGT16NDKZjL1793Lw4EEePHjA1atX2bNnD35+fowZM6ZeesJisfDHH3/Qv3//WnK8a9euERERUePfcnJycHBwkLIPn8azxPVYYXUYrAv+/v41rq+7uzsODg4SLWSVJlqHO+Hh4Vy+fBkbGxtCQ0MlNzarjl2pVOLm5ibxhxaLhfLycmkhwSzIxdeHQQeufqAtQZArkPm0wZx6HcVzPTFXlCAUZ6PuM56K41uwa9Uahx79yV31DV4TpmLr3ZzUrz7ANbI7ga+/SsIbi9BmZNDhq39j79+cC7PewFT5RLv6/Jfvoi0q5vzX/633Gjl4eTBq43J6f/w39s96iyMLP0RXUobPsAH0O7kH3eM8Ls5djP9rr+PYNoQbCxfj0GMgmp7Pk7l1E8q23dA+fEB5dgHYadDevIjg5ocxPRGzyYy5KAdzRSlUlkBZFVddba3czs5O6qqtIc1WmVnLli2lrbyuXbtSWVnJ0aNH8fb2ZsaMGVRUVPDDDz9w+PBh/Pz8mDVrFt988w0vvviiNJh3dXWlc+fOjB07lrfffptly5axdOnSWpuuIJ4kX3zxRY4cOcLBgwcxGo2EhoYyYMAATp8+zeXLl5HJZISHhxMVFUVRUREnT56ksLCQgIAAIiIiaNu2LWq1mpycHK5evcrt27dJTU0lJSWF5ORkkpKSuHfvHomJidy5c4f4+Hi0Wi2tW7cmNDQUd3d3ysvLJU1yZGQkCoWCAwcOYGdnx6BBg1AoFFy8eBGVSiUpqY4dO0a/fv2kDjkxMRFfX99aZmXVtxobgzXNvbqpVXBwMOPGjePbb7/9/yE+y/SkSJt0NTlpAJmdPeZKMcvOXFkG1k5aJq+S3+mrDOD1YidtNknFGZ4MD605hyDqGK0cs9UTwor6Nua6dOlCSkpKvZtE9aGpRbo6nJyc6NatG1OnTqV169bcuHGDvLw8xo0bR3h4eIPLJQkJCQiCQHh4eI1/z8rKQqfT1YjYgie2pvXhzxTpp/MTq6Muh8DQ0FDJvlSlUhERESF106GhoWRnZ/P48WO8vb1xcnKSjOXd3d25f/++xDtmZ2fj5OSEXq+nsrJS0q+aZQrRQsCoFwt1RRGC0lYMCki7jjK0N+aSfCjJqSrUm8VC3a1vVaGejsrXn9Sv/o173z74z55FwoKF6B4/puN3n2Lr4caFl97EVCUhldvYMHLDcq6v2UbK4VMNXqvWIwcx+3I0FpOJNV2GkRx9AltXZ7r8/A3t3lvIpblvU5pdTNvPPyPt1994fOoCfn/7gPLbNyl9mI1NixAKTx0Dn7bok69jqtQBMoyZ97FYwJST+qSrNmhRmA3YChYpYFWpVKJSqXBwcJCc9azvn5YtW0oNTJ8+fdDpdBw+fBgPDw9eeukl1Go1q1evZtu2bWRkZBAcHMzw4cMZP348AwcOpHPnzgQHB+Ph4dFomLGvry+vvPIKWq2W3377Tfp9jxkzhtLSUrZu3cq5c+cwm8107tyZTp06kZGRwbFjx7h27RqPHz/G0dGRkJAQOnXqJEk8HR0d0Wg0uLi4SBK7Zs2a0aFDB1q1aoVcLic5OZmYmBjOnz+PQqEgMjISg8HA3r178fPzo3fv3shkMoqKijhz5gzDhw9HEARyc3O5f/++1FWDeFoNCwur9fNptdoarpONoXfv3ty5c6eGkGHMmDHSjaMp+AvXwqsMlmp10mLXK1Ie5chU9li0It2BTqRAUFbFaUmdtFwaRFphLdJWuY7JZJI6aeu0OzMzUyrqXl5elJeX1xoU2tra0qVLFykKqqkIDAzk0aNHfyp5RS6XExwczMiRIxk0aFC9hc8KvV7P8ePHGTx4cC3uKz4+ng4dOtQq8HWlulRH9RteU1E9lfxp1DVMtcZqWdG9e3cSEhKkTchOnTpx6dIlLBYLoaGhZGRkUFhYiK+vrzQ48vT0lPSvzs7OVFRUSCu+YqFWijdxkwFc/aG8AMHWDplXK8xpCSjbP4+5OA+Kc1D3nUjFiS3YBYfg0KUPuau+wXPcFFT+LXnw1b/wGjKQ5pMmcGPBQvSFhXRa/gVKBwcuvvyWJCN1aObJC+uWceiVdym837DCR+XsxOAfP2PYr0s4+d6X7J36BsUPM2g+YhD9T+ym8lEmlxd9QODfFqP28+PmwsWownrg3Ksf2bt/R9m6IxW3E6jIK0Nw8kB74zw4eWHKSMZsNGIufoyptFgcuBdnIViMKM16FAKS6sFKgVgd4Hx8fNDpdNjZ2eHr68uDBw+wsbFh8ODBGI1GoqOjcXBwYP78+QQGBrJ7925WrVrFnTt3nvmmLl0HlYqxY8fSvXt31q1bR1xcHHZ2dvTr149x48Yhl8vZvXs3R48eRa/X06NHD3r27ImHhwcFBQVcuHCBY8eOkZCQQGlpKXK5HIVCIf2xbtUqFAoePXpEbGwsMTExUsjzgAEDeO655ygqKmLfvn2Eh4fTuXNniT6Njo6me/fuEpd94sQJKZnGioaKdFM7aeu16NevX43FFZlMxttvv91kEUOjRbqyspKFCxcybdo0JkyYwMmTJ+t8nLWmisssVd2zSoVJV/Wx2h5zRfkTukOuEDtng05MFDdon3TS1bTSVsqjOi9tXeu0bhxZ3fFsbGwk3lgmk9U6klvRrVs3EhMTmzxdBbG4WxO//9eIjY2VeLenYS3ST+PBgwc1YraehnWr61nQGN3xdJEOCgoiJydHWrN1dHSkXbt2koa6TZs2VFRUkJ6ejq2tLe3ateP69euS9DAjI4OKigp8fHwoKSmR0uBLSkqkwbHBYMAstxEHiGaj2FGX5iGoHZB5Bogddft+mEvzoSjrSaFuHYJDl17krlqC57jJqAODePDF+3iPHIHX8KHcWLAQY2kpnf/7NTKlgkuvLJY2Z317dKLHewvYM2UB+vL6k1Cka9OnO7Mu7McjtA0beo7h3Jc/IrO3o+vK/9B28etcmvs2ZblltPt2CTl795Gx+w+av/4O5fcSKcvMR+kTSMHxP7B4BmPMTsNQWACCHOOjZBAETNkpmE1mcVtRW4LcInqAWAeL1lxFNzc3yQDful7u5eWFs7MzCQkJODk5MXz4cLRaLbt27ZICAnr06MG5c+f44YcfiI2N/VNZoYIgEBERwezZs4mLi2PHjh1UVlbi4OBAt27dmDJlCt7e3pw4cYK9e/eSnp6ORqMhIiKC/v37ExkZKZ2OrdTGrVu3uHHjBteuXePKlSvExcVRVFREUFAQAwcOJDw8XArESEtL49ChQ/Ts2VNK+jabzezfv5/KykqioqIAsb5duHCBvn37St+7wWAgMTGx1twHnr2TBqQU8upNkru7O1OnTm3S5zdapE+ePEloaCgbN25k2bJlfPXVV3U+TrIqrdoyBJCrxJxDqE53OGKuFO8g4vCwvKqT1lbrpAXAInlKVx8eAtLwUBAESYIEIidWXU5UH+WhVqvp2LFjk3WKVgQHB//peKymoqCggMuXLzNgwIBa/5eXl8fjx49ryPHgiVKksSL9rJ1RTk5OvUOSZs2akZubW6PwKxQKQkJCpLQLENMq4uLipFzDrl27cuHCBYxGIz4+Pmg0GhISErC1tSUgIIB79+5hNpvx8fHh8ePH6PV6nJycKCoqkm7W0uo4iFFVbn5QkougdkTm3gJzarxIfZQWYMlPR91nIhUntqIOaIlD1748/vVrPIaNxi64LSmfvov3qBdw79uHhFcXoM/Pp+uKb7GYTFyYvVAaJkbMm0qzjqHsnfoGhorGJZZKtYrI9xYw/exucm8msrb7C6SfvYzvqCH0P7Ebbc5jLs5djO+8+bj36c2td95H2TIclz4Dyd63B0VQB3TpaZTef4isWSu0Ny+CvRumnDTMFeVYKksxFWSJ5vdFmQgmQ63Bolwux9bWFmdnZykg2Hr6DAwMRBAErly5gouLC4MHD6a4uJjt27dTXl7Oiy++yPjx48nNzWX58uVs3ryZ+Pj4Z5KXgqgQ6t69O4mJiTXSzpVKJaGhoUyaNImwsDDS09PZu3cvO3bsID4+HpPJhL+/Px07diQyMpKoqCh69uxJr1696NOnD3379uX5558nIiJCSgRKTU0lJiZGGtgPGjRIogCzsrJYs2YNxcXFTJ8+XZLybd68meeee07qqgHOnDlDQEBAveEZz+KBA2LdePjw4Z9242z02YYNG8bcuXMB8Qetf+24aplFpXrCSauf6KPFTroMmZ0DlgprkbZ/Yl2qr5RilARBqOqmTbUUHhaLRSrSQA29tLe3N9nZ2dIdy9fXl9zcXGkBpjq6dOlCQkLCM9EX7du35969e3/6YjcGi8XC/v376dWrV51OdjExMfTo0aOWLCg9PR1BEBrUblq31JqKnJwc8vLyat0QrKjupVIdbdu2rbGN6OrqSosWLSQTqhYtWuDi4sKVK1ckzr2srIyUlBTc3d1xd3cnMTERpVKJj48P2dnZGI1GqVBbXwt6vR6zwla8oZtMot9wWT6Cykp9XEfZLhKMeixZiaj7v0jluX3Yurui6T+Sx799jWvvvmi69+L+h2/TbPhgmo16gfi586lIe0i3VcuwdXXm7PiX0OUVIAgCg3/4FDt3F34fOxd9adNeAxr/5oza9AN9P/8HB2a/xfHFnyLYqeny3yWEfvQOcfP/TsHdh4T//BP5MWdI//0gvq//g8qHaRQnPUDVpgMFRw9gdmuFqTgffVY6qOwxpt4CmRLz4zRxL6GiSFyCMVdRIDIkn2rrhq6dnR1GoxEvLy/kcrm0tSiXy7l+/TrOzs48//zz6HQ6duzYQVJSEpGRkSxatIiwsDASExNZtmwZmzZt4ty5czx69Kje05lWq+XcuXMsX76c+Ph4Jk6cSP/+/Ws9TiaT0bJlSwYMGMC0adPo1asX5eXl7Nmzhz179nDz5k2ysrLIzs6u8ScnJ4fs7GwSEhI4ePAgGzdu5NatWzg7OzN8+HAmTZokJd4cPHiQTZs2ERERwbRp0yTq7Ndff6WsrIzp06dL309BQQGrVq1i/vz5df5cT5swNQWbN29mwIAB9Z5KG0PTQu8QdX/Z2dn88ssvdT/AOjhUVac7qnfSDpgrykS6Q1uBxWyWFlsEJzcozZec8CwWsyTJk8nEzql6yOTTLlZWQyUHBwdsbW3Jz8/H3d0dhUKBj48PDx8+rLXJp9FoaNGiBTdu3KBTp05NugZqtZrQ0FAuX77M888/39RL12RcvXoVvV5Pt27dav2fwWAgNjaWd955p87P69ixY4PaTZVK9UxFOjY2lu7duzeYi2jVr1dHSEgIhw4dqrGGHhUVxY4dO+jcuTNyuZyePXuyc+dOAgIC8PLyonPnzpw9exYHBweJn7bqUa2no2bNmkmFWqPRSNSHUmmDTDCIJzA3fyjMQFCqkPmFYk6/gTwwHHPmfcz3r2A/YBoVp3eg8A/BdcJc8jb9hOuo6SjdZ5Hy2bv4v/kuNu4LuPHGm4R89gkdv/+cO18v5/QLU4ncsgKHAH+G/bqEIws/ZPvI2Yzf9Rsql9o307oQPGIAvpGdOfnuF6ztNoL+3/yblkOex61LBPH/+IQLsxbScdlnVCYncuud9/F6YQSuHbuRtXMjrr37o8/OoLK4AE1kX7S341B4+WMqygWDDrnKEdPjNGTu/gjF2QgqB+QqR2SASS4OFC0Wi5RZaDUzsm5+VlRU0Lp1a4xGI4mJiTg4ONC/f39yc3M5fvw4tra2tG3blrFjx2I2m0lOTiYtLY2EhAQKCgpo3rw5fn5++Pv7S5Fb8fHxBAUFMWnSpAabh+oQBIFmzZrRrFkzIiMjycjIIDk5uZaLZXXawJpaM3DgwBpDTYvFwrVr1zh+/DghISG8/vrrkgZap9Pxyy+/YGtry2uvvSbJTC0WCz/88ANDhgypc/MXxNO6NWy2KSgoKGDr1q1s2LChyZ/zNJpcpLdu3cqdO3f4+9//zr59+2oXBKtOWqV6YrCkVmOy6qPtHDBVlCPI5JL5P9Yi7e6LWS/SF5bqRktmM4JckJIPlEqlpPCwsbFBq9WiVqulF52NjQ0+Pj5kZWVJ3JR1pbuui96lSxeOHTvWaIGrjm7durF27Vp69erV5GDXpqCkpIQTJ04wY8aMOo9TcXFx+Pn51XmSuXLlCkOGDGnw61vjx5qKs2fPMnDgwAYfU52CssLLywuLxVJjRb158+a4uLhw8+ZN2rdvj1qtJioqilOnTjFu3DjUarWU8tKjRw8CAwNJTEwkJSWFVq1aSYXay8sLjUZDcXGxNByzxiTJBEE0KnLxFYdqJiPywI6YUuORebRAUNljuHUadd+JaC8cRFZWjMesReRt/BHHqEH4vfEP0pd/TbPpc2n7+Wfcef/ftHprIe3eXYiqmRdnRs2g+/qfcGn/HIOWf8LJd79k67DpTNi7BntPt7ouTy2oXZ0Z9usSHhyN4eS7X3J5+Wr6fvEPuq78Dxl7D3Fh5hsETB9Ph9WrSF2xguSjRwmYN4fKW3EY8nJwHziYwmMHUbUKQaGwRZd8E9uQThhTbyL3aoG5JBfMZuQKW5ECcXBHIbcgk8kxIcfe3h6TyURlZSWurq6S9W/z5s2pqKiguLhYep8kJycjl8vp27cvBoOBO3fucOnSJVq1akW7du0kvlar1fLo0SMePnzI2bNnKSgoIDQ0lPnz59d5GmwqrBmjDen+n4bRaCQjI4MHDx6QmJiIXC5nypQpNW4S2dnZrFu3Dk9PT2bMmFFj7Xvr1q3k5+fzz3/+s97n8Pb2bnJAbVlZGUuWLGHo0KHSGvqfQaN0h/W4AeJRtr6lDquftFylwmTtpBVKBLkci0GP3N5B3KICBDtHLBWlCCp70eTbRg0Gcd1bSo6WycBiqhF70xRe2tvbm6ysLIl/tcYQ1XUsa9myJWazmWPHjjWZr3V3d8fb27uGiuH/iuLiYqnTrI9OOnXqVI3hhhU6nY47d+7Ucs57Gs9Cd+h0OuLi4oiMjGzwcXXRHYIgEBISUoPyANHbJDY2VuqCWrZsibu7uzRUdHFxoV27dpINZHBwMHq9nvv376NSqfDx8ZG8ia25dNVVHybkoFA9cc6TyaG8AHnLzlgKMxBUahTBXTAmHEPddRBgwRB/HM+X/kb5lbMYUm4R8M/Pydm2Dn16EmE/fs+Dn34mfcMmAmdOov2X/+LclPk8Pn0OQRB4/qv3CBraj23DplP++NnknIEDezPr4n5Cxg9n14T5HHz57zh2bE+/479TcjeZMxPm4Nq3P23+/S/S12+mNKMETVR/snZuA68gBJUdBaePg3cI+kf3MVZUYtFpMabfE1fLHz/ArNOK2uqSx6K7nlmPsoqvtkr2ZDKZ1MyAKKs0Go3k5ubSsmVLAgMDpU2/sLAwxo4di0qlIjo6mv3790u+0UFBQfTr149Zs2bx9ttvM2jQoP9TgW4qzGYzGRkZnD17lg0bNvDNN99w5MgRDAYDAwYMYM6cOVKBzs/PZ926dSxZsoT27dszc+bMGgX6999/5+TJk3z00Ud1LnBZ4e3tTU5OToP1wmg08vvvv0vXqz7qpKlotBWMi4sjIyOD999/n7y8PCoqKmp4GFtheWqZxXrctVIeVroDQGbniLmiVOSptVVKD6HK8UxhAyY9CPbSgq7KJO8AACAASURBVIy1SCuVSkkjrVarpcJsNe52d3fH3t4etVotuYOp1WrJWvNpHbEgCMycOZMdO3awZcsWxo8f36TJbbdu3Th8+DBhYWH/52769u3bHDx4kO7du0sT56eRlpZGcXFxLc00wK1btwgICGhU1lfdnKoxXLlyhaCgoEbfaHV10iBSHgkJCTWSJ1q2bIlcLpdoDBBpkF27duHt7U1gYCC+vr6UlpYSFxdH9+7dJY8Qq/dC9Y7aalFrZ2cnyTJRKJApVQh6LTi6Q0UxFGchD+iAOf02gkKJMrwfhoST2LTuiiHzAdqYHXhMfZX8PRsxxewn8P0veLhMNGVq/8tP3Fz8DrrHj2m16E1s3Fy4NOctQj9cjP+EkfT8YBEIAttfmMXE/Wub3FGDmLvYYc5k2k0cwaXvV7G+5xjCZown8ocvKTgfx/V/fo5TuzaEfv0VhWfOkPzTKpqNHIFZpyXn0Dk8XhhL5f17mCvLcOrYFe2dOJQt2mHKTQeLCblagynnATJ3X4SSHFDaIrNzQWmxiOqYquGiNZLO1dVVUnH4+/tTWlpKYWEhLVq0QKFQkJKSgsFgICgoiPbt25OWlkZ8fDznz5/nueeeo3Xr1k2SplkXnCoqKqioqJBSW6zbrdXlddaPrd2/9Y/183Q6neQA2KVLF8aPH19jrRvEE2p0dDQXL16kT58+fPbZZ7VyHvft28fBgwdZsmRJo9uEVte9lJQUab3cCovFQmxsLMuXL8fZ2Znvv/++ljHan0GjFWby5Mm8//77TJkyBa1WywcffFDncdy6zCLIZMhslJh1OuQqFXK1HaaK8iq6QyzSYiddguDigUVbNYCx+jMobMRu6CmFh3Wyb/WXtW4lWXnp6mJx65HE2iWEhYVx9epVWrRoUYvWsLOzY9q0aezfv599+/Yxfvz4RqmPVq1a4e3tzcaNG5k0aVKtF0ZTYLFYiImJIT4+nqlTpzbI2x09epS+ffvWed3PnTtXa228LlR3DWwMe/bsqVNdUh0Gg4Hy8vI6g00DAwNrbFmBeEPs3bs3J0+eJDg4GJlM9EweOHAghw4dQqVS4e3tTUhICHFxcRLP3qZNG2nDLDg4WEp3cXV1xdnZmeLiYsnLxWAwYBYEFDZqBEMlqB3FOUdhhriZmJeGJT8dZcQAjAmnUHi2QGjXnYoj63EZOIrSuPMUbP0vfgv+RvaWdWT8+h+e+/pzkpb8h4Q3FtL204/p+ftqLsxYQGH8TcI+XEzUv95EppCzvudoRqxail+vxn8X1WHj6EDPfy2kw5zJnP7gW9ZFjWbof7+g/6m93PtxFaeHTSH0w8V0XL+G+999T35qKi1mTaPw9CEUTs649upNUcwh1G3DURiN6NLvY9u2C8bUW8jdm2MuLwF9BTIPf4SiTAS1BrmtIPLVMjE9xXoDt7Gxwc7OToqm8/f3p6ysTFpIUalUPHz4kMTERPz9/Rk8eDClpaVSsLK3tzetW7fGz8+v3ubl1q1b5OXlUVJSUmMAHxwcLLlVWr3irX+syfN2dnaSxLC61LAumEwmTp8+zYEDB+jatSsff/wxTk5ONR5TXFzMzz//TGpqKl988UWNU0VDGD9+PPPmzcPX15e+ffvSp08fHj58yOrVq9Fqtbz++uv06dOnwTpiNpub7ELYaJFWqVQsXbq00S9U3d9AZqvCVFmJXKWSbEoVDo6Yy8QiIbNzEld4VQ5YtGVi121rJ4YA2GmgsljsnmVySeFhNf62SrBsbW1RKBSSUN9gMEi8tLe3N7GxsYSFhSEIAoGBgVy7dq2Gv2x1yOVyRowYwW+//cbVq1cbHSQKgsDo0aM5cuQIa9asYcqUKZLvdFNgMpk4cOAAOTk5zJkzp8EuOCUlhcTExDo1lQaDgbNnz7J8+fJGn7NZs2ZSzFVDsK6uf/zxxw0+LikpSdoGexouLi4UFxfX8rAOCQnh/PnzXL9+XVpr9/DwoF+/fhw9epRhw4bh7u5Ox44dpUIdERFBmzZtSE1N5datW7Rp0wZ/f38yMzPRarV4eHhQVlZGUVGR5CNsMJpQ2tghWLX3Lr5ioXb2wqJ2wpyZiDKsD8YHCQgGHeo+46g8swe71p1Q+gaSt/Y/eIyaQXlSMqlfvE/ga4vJP3eZqzNnE/LJx/Q9sp2ri/5FzKgZdP31P0S+twDvzuHsn/UWHV5+ke7vvIrsGfIkARy8vRi+8huS9h9l/+y3aTm4L30+/Ts+Q/sRt+A9sg4dp8M3H1J64wb3l36HW98+2AV4kbFhNZ6jJmDRllBw7iyanv3Rp9xCprZHZjJhSruNIiAUc/4jBLkNMoVKfH85uKNQWJAjxyQopLgrnU6HSqVCoVBIQQwtWrRAq9WSnZ2Ni4uL5LkSExODs7Mzbdu2JTIyktTUVG7evElMTAwtWrQgKCgIHx+fGoV0zJgx0scmk4mysjKKi4s5cOAAWVlZ9OrV65muW124d+8eW7duxd7ensWLF9fZAF24cIGffvqJPn368NZbbz2T9nnevHnMnj2ba9eucerUKebPn4+3tzezZ8+ut5l6+vtbsWJFrZtGffgL18KfcL5ytVpSeMjt7DFVViCzd8JUxUnL7DWYy0sQlFVLCQadaEWpeyLDA2qltFj9ZK0JKNV56epZZfb29pL9JYhFtVOnTlKydV1QKBSMGzeOEydOSGGUDUEmkzFkyBAiIiJYvXq1FA/UGHQ6HVu2bKG8vJxZs2Y1WKBNJhObNm2q8xgHcOnSJQIDA5tkT+rl5VVvoK4VWVlZvPfee8yYMaPR08H169fr5cGtWXNPZ7gJgsDgwYM5ceJEjSGmr68vPXv25I8//qCoqAi5XE7nzp2RyWRcuHBBsjZ1d3fn1q1b6PV6aaBkzUy0tbWVlpNEL2IDJrltlUqoSqKnr0SQCcj9wzFnJyH3CULu7osp6RJ2fcZhyn6AvPgR7lNeoyh6G0qVjOavLOLRT99g7+NC8Pvvcef9f5O9Zw9df/uO5iOHcGroZHJOniVwYG9mnN3Fw5iL7HhhNmXZfy5OLfiFgbx0ORqZXM6aLsPITkqjz6GtOAa35MTzYyl9mEPEhrWYKytJ3bQb9zHTKb50jqKEmzj2G035jXjKc4rA0eOJtvrxQ0y5mVgUtphyUsQlHW0JFD9GsBhRmHTYCGYpksoq21OpVLi5uUnp7n5+fmg0GkmC1rFjR3x8fHjw4AFnzpzBYrHw/PPPM378eFxdXbl8+TKbNm0iNja2hjTWCrlcjkajwd/fn+nTp3Pt2jUuX778p64biMEcK1euZNWqVQwdOpS33367VoEuLi7mu+++Y+XKlfzjH//g5ZdffublFBB13l27duWdd97h6NGjrF+/nn79+jVYoAsLC1m2bBmffvopQ4YM4aWXXmrSc/3lLngAMrVKMqqR2dmLdIfaDoteJ6ay2DlhqRALqqByrFoTF+O0kCnAYhFF+lWddHUolUrpDW5nZyfxaNUNlgBJ5WGFleqoa7nFCg8PD/r378/OnTubHIXVo0cPhgwZwoYNG2oklde6PlWKhzVr1uDs7MzkyZMb9UE4deoUdnZ29dIZJ0+ebLIUsLEiHR8fz8yZM3nhhRdq6EbrQ0NFGpBUGE+jefPmBAYG1lhsAJGz7ty5M9HR0ZSVlSGXy4mIiMDNzY3Y2FjKy8vx8fGhRYsW3Llzh6KiIkmWZ/UQsdqcWhUfRqMRI3IxPMCoF4MDFLZQUYA8IAJLeSGCDBTtemK8ew7bdl2QadzRx0XjMWU+huxHVF46RsB7n1B88SxlF44T/suPFJw5y+133iVgyli6/rqUq4v+xd3vfsHey4OJB9biG9WZ9VFjSDt5rtHrWBdsNY4MXPYRL6z/nthPl7F/5iL8Z71I5NYVZOz9g7NjX8Klb3+C3/07D1aswqBwxalbLzLXrUSPGnXbThSePoZR7YWxKA9dWhI4emB6eEdchDEZMGVXWfmW5kJZHoLFhNKkw6bKD8TqAwLi0NnT01MyvWrWrBmenp5kZ2eTn59PUFAQ3bp1w2KxcO7cOW7fvi0ZiI0cORK1Ws2ZM2fYvn07KSkpdTZKjo6OTJ8+nTNnzjzzUN5gMBAdHc0nn3yCp6cnn3zyCV26dKlxijMajezbt49XX30VOzs7fvzxR0JDQ5v09dPS0li6dCmbN29+pu+r+ve3a9cuXnvtNRwdHVmxYgUDBw5ssqLsL+yknwyQ5NU8O+RqNeaKCpGrtrPHXF6GzN5J5MqgSjddhmBTLaRWaSvKqaqth1u7aesgofpSi8ViwdXVlaKiIknF8fRiS1O6aRDjnzw8PDhy5EiTf/Z27doxadIk9uzZIy1tmEwmMjIyOH/+PNu3b2fp0qVs2rSJ8PBwhg8f3uiRqKioiAMHDjBlypQ6f5mlpaVcv3693mHj0/Dy8uLx48d1/uz79+9n8eLFfPjhh0ydOrXRF49OpyMpKUlat60L9RVpgP79+3P58uVa/x8SEsJzzz1HdHQ0Wq1WUooEBQVx7tw58vPzcXNzIyQkhNTUVNLT03F2dpaWXsrKyiS/D6uDnsViwWgGi41a1FKrncDJE0qykXu3EtOpCx6i7DAAc9Z95CobVJ0GoI3ZjiaqD7YtQyjY/BPNZ81D4aghY/kXtH7/H6j9fLk6cza2zvb0/WMbOcfPcGHWGxjLyol6/02Gr/qWA3MWc/Xn9X86BNm3RydmnNuLZ/t2rIscRcrZOCK3r6TtOwuI//vHJP53A20++xyFWs39H1fh1H8MShdXMjatQxHcEYsgpyjuCrgHon9wC0NRIagcMabcwGIGc3kRprwMMfmuOEc0rKoq1koBaW7g4OAgWdBaF2FKS0txc3PD19eX/Px8kpOTcXZ2pm/fvri7u3P16lXOnz+PXq8nIiKC8ePHExUVxbVr19i7d2+dJ08XFxemTZvG4cOHuXfvXqPXx2KxEB8fz4cffkhqair//Oc/GTVqVK3O+Nq1a7zxxhtcvHiRL7/8kldeeaXRk6LRaOTkyZO89tprvPzyy+h0OtavX//MW7tXr15lwYIFXL9+nW+//ZY5c+bUOcdpCH+d0Nf05JuXP91JVxn+y+0dMZWXonBxxVwuvkFFL48ycPEGXZVHgKKqSNvYgcVUK6XFykvb2NhIvLR16lpYWCipPKovtoA4tb569WqDPheCIDBixAhWrFhBYmKipERoDP7+/syaNUsyRM/NzcXZ2Rl/f3/atm3L4MGDn0mWtGPHDnr37l2nJSSI24edOnWqc3W1LljN4vPy8mrkIK5cuZIDBw7w66+/NrhWXh03b94kMDCwwRebk5NTvUVao9HQuXNnTp48yejRo2v8X/v27dHpdERHRzN8+HBsbW3x9/dHrVZz5coVQkJC8PPzIywsjKSkJO7evUurVq1o0aKFxFNbzbWKioqkLS+9wYhSqUZmqrr5Vy2+yNSOIk+dcRdFcCfM2Q8wZyZi9/wEKs9FY+Plj82oaeRvW4FTryGog9qQ+uX7eE+fi2NYGDffWoz/nNn03LmKm58s5dSQSXT57xJa9O3B1ONb2T3pNXIS7vD8F+82efGlOhS2NkT98w1Cxg7l6Fsfc331Nob893P6x+zj/m8biZ34Mi1eHEvbr77gwU//xVReQcArr1N+5SxFyYl4jhxLZcpdzGUlOHWNRHvrInI3H1E7nXoLuU9rzMWPwWQQl2GKssDGDpm9MzKTAbNciQmZpNyw3jybNWuGVquluLgYjUaDl5cX+fn5ZGZm4unpSVRUFLm5udy6dQu5XC6pc8aOHUtycjInTpzAzc2NDh061JCdenp6MnnyZLZs2cKwYcNo165dvU3DihUrSEtLY9q0aXX6bJjNZr7++muSk5N5+eWX6d69e4MNSHFxMXv37iUrK4vTp0/j6enJxIkTGTBgADY2Nly5coU7d+7U+VxPw2Qy8dNPPxEfH8/8+fNrnYYNBkOTNxf/8mQWEDcNTVWbhvIqugNAZu8octG2duJmoUEvDg8rS0Uu2mLGYjSIRdqgq1oPFyRe2tqRVKc81Gq1RHk8Hff0NOVhNX2xmvrUB5VKxciRI4mOjm7yBBZEDfXLL79M3759WbRoEa+++irDhw8nLCzsmQr03bt3SUlJqTe5wWKxcODAAQYPHtzkrwlirM+aNWukv9+8eZMdO3awdu3aJhdoi8XC5s2bG3xus9lMampqgykxkZGRJCYmSnOE6ujSpQvNmjVj7969kv2sh4cHPXr0ICUlhfj4eARBoG3btjg4OHDjxg1KSkrw8/PDxsaGtLQ05HI5arWaoqIiKWHDYDBgFJRPFqZcxFBUQV+OPKA9lsJMZA4a5C1CMd45j6pDLzHR+9ZpPCa9TOXtaxjuXcX/jXfI3beTyoTzhC1bSu6Ro9x862+0fnUm7f7xJuenv87NT5fi6O3F1ONbkdvYsLrzMG5u2vWnu2q3kCAmRa+nxzuvsmvCfOL+u47gV2fR//Reyh48JG7RB/jNm4/fjGkkffkNBsEBn7lvkvvHAbSleux7DKAo9hR6sz2Ckxva+LPg7INFX4nxURIo7THnpWMuqzIdK8gQVSEWs9hZy2p21tbTrIeHByqVSvINb9myJSaTiRs3bqDVaunYsSNBQUGkpqZy4sQJUlNTadmyJRMnTqR58+acOHGCPXv21DDr8vX15cUXXyQmJoaNGzfWGwKt0+kYNGhQvUXTqvH++eef6dGjR4MF+sGDB8ycOZOkpCR8fX1ZunQpa9euZdiwYRItGRQUREZGRpN+X6tWrSIzM5OffvqpVoG+c+cOH3/8cZODq/8nRVpuV61I2ztgLq/qpB00mEpLRPrCzlFUeNg5YaksFS+grT3oyp/QHSDqp821h4fWIm1vby8VaVdXV0pKSiTt7tOLLSBy03q9vtFBX2BgID169GD16tWNDtyqw97enqCgoD8lywPxmLVlyxYmTpxY70Dj6tWryGSyOt3wGsJrr73G0aNHpWivL774gkWLFtWpe68Pp06dwmQy1enDYEVSUhIqlaqW53V1qFQqQkNDpRim6hAEgcjISDp27Eh0dDTx8fGYzWYcHR3p2bMnMpmM06dPk5ubi5+fH61btyYtLY2UlBRcXV3x9vbm8ePHlJSUoNFo0Gq1lJWVoVAosFgsGMxgttIfds4i/VGWh9yrlfgaLH2MMqwP5rx0FHZqbNv3RnfxAE5duqJqHUrR3jV4j5uI0sOL9OWf03L+S7j17sW1OXOhsoTnj+2gPO0RJweOp/x+KoO+/5gx23/m2oqNbBk0hdybiXVckcYhCAIh44czPeZ37kefYMeolzCazHRbtYzWr8/h4uw3yTxxgfBf/os+N4/ET5fgOXkeqoBWPFq1AnlAGHIXdwqOHsTSPBRTfja6xGsIni0x5aVjys/ColRhykrCbNCDyQgF6aCvFMMGqhVrW1tbSZ1gMplwd3eXlspkMhnBwcHY29tz//59yQOmY8eO5OXlScW6TZs2TJo0iQ4dOhAbG8vp06el97Wvry/z5s0jMDCQdevW1Xkz7927d52vHysuXLhAVFRUo7OfCxcuMHfuXGbPns2nn37K1KlT69Q3W+0oGsP+/fu5cuUK77//fo06UFpayurVq1m3bh0TJkxg5MiRjX4t+CuLtLGmuqOuTlruqMFUVkVzVA0PBbVjNcMlqyue2ElbLBZpOm+9C1qXWqrrpSsrKyUqRKPRSBuR1RdbrBAEgbCwMBISEhr9mbp3787AgQNZv359jWDb/yVOnDiBq6trgwV4z549jB49+pkzC52dnZk/fz5ff/01W7duRaPRMHTo0CZ/fmVlJWvXruWVV15pkFM/f/48kZGRjX5/3bt3Jy4url41TVBQEGPGjCE9PZ2DBw9KkVrt27cnPDxc0ufa2NgQHh6OIAgkJCRgNBqlENKMjAwpE7CwsBCTyYRcLsdgMGKU22IRZIAg0h9GLTKlErnvc1jy01A0D0Lm6o350S3UkSMw52YgL07HffI8yi6dRGkux3fuAjLXr4Cyx7T/aTl5p06R+O8PCP3XQtq8PZ/z017jzjc/4RXelqknd9Bu8ii2j5hJzEdLMeqe3ZscxKzFyYc20Lx7R9ZHjeHBkdP4jRvBgJh9WEwmTo+cgWPnHgQseI3ETz6lJCmDFu98gj7zETmHDmHXYwja5LuU3E1GHtQFQ/J1DNmPEFybY0q9ibnKF8eUKToSYtKLnbVBV6NYC4KAjY0NGo0GQRCktHirfl2v19OyZUuaN2/O48ePSU1NJSAggG7dulFaWsqJEyckKee4ceMAcfPP2kBZfV46d+7Mpk2bahXI0NBQHj16VG+nff78+RpG/nVh+/btfPDBB3z99deMGjWqwcc2pUhfunSJbdu28dFHH0lUm9ls5uzZs9K/ffTRR7Rv3/7/h2SWpzppc1V3K7d/ssQic3DCVCbeESUZntoRS2VJlVbaviqtRSHyhiajlNICT4zrq+ulrXaM1ovn7u5eI6Glrl371q1bk5OT0yQ/6dDQUMaPH8/OnTu5efPm/+EKNY7CwkIOHTrE5MmT6y1wqampPHjwoM4V8aZg9OjRZGVl8d133/Huu+8+U6HfsWMHoaGhDW5RabVa4uPj6zSJehpubm4MGjSIrVu31muB6ejoyPDhw/Hz82P37t1SOo6Hhwd9+vRBpVJx+vRpMjMzCQwMJCAggKSkJB4+fIiHhwceHh5kZWVJ3tTWoaI1P9GIDItSJXbVjh5gp4HKQuS+7USTdEMlytBemB/dRunti6JVOPqL+3HtNwSlpw/Fh7bgO2sumEw8+vFLgha9jsfAAVyf9yqUF9P38DYKryZwevhUypIf0GHOZGZdPED+3WQ29hnH4xt/zvpWplAQ9f6bjFy/jKOLPuLY3z7BbIGIbz6i68r/kPj9r9xbsYmQr75CplRy/fWFoPHBZ/Zr5B0+QHlOIerQLhQe3UdFoRaZXzt0N85jrNSBrQPG5GtYkIt0T2YSZosFjFoozACjvkaxBpGCtBpf6fV6NBqNdLItKirCx8eHVq1akZOTI1EePXv2RKfTcfLkSVJSUujVqxc9evTg6NGjXLp0SRIBREVFERgYyJYtW2qorpRKJR06dKhT///o0SMqKirqNUoyGo0sWbKEbdu2sWrVqiaZrDVWpJOTk/nuu+/417/+Jc2SsrKyWLp0KTExMSxcuJAJEyagUCg4cuRIjSCAhvC/KdJquxp0h0miO5wwl1Z10vZOWMpLxK4ZRK20le6AKspDK8nwqm8eAjX00k9L8crLy6Vjk3XyX/2upVAoaNeuXZOlPoGBgcyYMYOjR48+swf1s2Dnzp306dOnQS537969jBgxokF/gYYgl8v57bff2LhxIy1atGjy5z148IBDhw4xe/bsBh937do1goKCmizUb9++Pa1bt2bnzp31dhZWamfYsGGSs5k1Hbtdu3Z069aN1NRULly4gFKppH379phMJhISEjCZTBLFlZmZib29vRShZH1N6Y0mTAq1qHKQ21RlKJYis9cga9YSS24aiqCOCApbyEtF3XM0hvvXUVKB+4SXKDm+F7W7E16TZpD+/ZfIzeV0WPkL+WfOcO+TT+jwzb8JmDaeM2NmkfTLWuw8XBm95b90fvMldrwwm/NLfsbcQLJ8Q/CN6sKM2D2YdHpWdRzC1Z/X49whlOePbMejZ3diJ87FYLEh7MfllN1L4vYHn+MYNRSnTt3J3LYJi1sLbHwDKTi0G53FAZm7L9qEs5hltiI1lHQVi0wM5xCLtSAmwzxVrG2qKon1NGsd6Gs0Gjw9PSkvLyc/Px9fX198fHxISUkhPT2doKAgevfuTWlpKWfPnsXNzY1x48ZRUFDA3r17KSwslPT1Tk5O7Nq1q8brpGvXrpL/S3VcuHCBbt261XniKy0tZeHChaSlpbF27dommzg1VKRzc3P55JNPWLBgASEhIYBoIfztt9/SqVMn3n33Xfz9/cnOzmblypUUFRXRr1+/Jj3vX0h3VJPg2akxVVSjO8rFTro63SFtHQoCgrqKl65yxQOqDQ+rjqNPFemn9dLlVTcCmUyGi4uLNEC0rpI+faR+7rnnSElJabKJuZeXFy+99BLXrl2r80Xxf0VSUhL3799vkH7Iz88nNjb2mSiKuuDj4/NMngImk4lly5Yxa9asBldny8rKOHz4cKPGTE/DqhmNjo5ucLDm7u4umdbs2LGDxMRELBYLGo2GqKgovLy8iI2NJSUlReqq79+/T1paGh4eHri4uJCRkSEl+ZSVlVFRUSHZDRgFORa5jXiC03iDUo2gK0Pu/xxUlCAoFShad8WUcg2boFDk7s3RX47GdehoBJmM8jMH8J0zH216Ghk/fU3wotdx792L+JfmohD09Nq7jqxDx4kZNZ3CazcInTKG6Wd3k372Eht6jyPl8Kk/NVhUuzoz+MfPmLh/Lff/OMX6qDGUZj2m9esv0feP7ZTcSyF28nzch46g3RefknPgIA+37MHvzfeR2dqSuW0LNu26o3BxJz96D2aXlggOrmivn8WidgGzGUPyNbCxB30lpqxkLIIcDJVisTYZEKoGjDZy8WSmUCjQaDTIZDIqKytxdHTEy8tLWge33shv375NVlYW4eHhBAQEcP78eTIzMxk4cCAhISHs37+fO3fuSFu+er2ePXv2SF12SEgIRUVFtexMb9y4IRXLp/HRRx/h6enJ999//0wez9VP7E9j6dKljBw5skbiy/Lly5kyZYq05JKcnMyGDRuIjIxkwoQJTY7h+gszDp+8uORqNSYr3eHgWK1IO4sZbYDMQYO5Bj9dDLZ2oK8Uu/LqKeLV1sOr25ZW56UNBoM0MHya8ggMDOT+/fs1vke1Wk1AQMAzJa1oNBrGjx/P6dOnnzmhoiGYzWZ27txZp8azOrZu3frMUr6/Ar///jsODg4MGjSo3scUFRXx7bffEhoaWivJvDHIZDImTJhAVlYWx44da7BQKRQKoqKiCKHsTQAAIABJREFUGDRoEHfv3mX37t1kZ2dL5vG9e/empKREGkKFh4cjl8tJSEhAq9Xi5+eHTqcjKysLtVqNIAhS6guA3mTGpFSJr0EbNbg0h8pSZBp3ZK4+UPgIZXBHBLMZynJQdx2MMeU6NkoDLoPHUBoTjb2XC26DhvHwx6+xFGcS9p9vKI6/zt1336XdWy/jP3kMF+cs4uKcRQhaLRP2rqbHP17j1PtL2DxgMmmn/txpzSO0DRP2riZ85gQ2D5hMzvXb2Ps3p+uKb+n43adcefOfpP3+B6E/LKfZ6FHceOvvmBVOtPzoW8pu3yD35Emcx83BUJBL4enjKNoPwmI2U5lwDsErCHN5MYYHN8HZG3NFCabsFCwKNejKoCgTsCBUhQ7YyGXS78vKWVvN2VxdXcnLy8NsNhMSEoJcLufGjRuSha21GfHx8WHkyJEkJCRw4cIFZDIZkydPxmAwsHHjRrRaLTKZjKlTp/Lbb79JjRqIWvzdu3fX6X7ZokULqdt/FtRHDZaXl5OUlFSD0z5z5gzBwcESjVJWVsbevXuZMGGCJDNtarD1/6iTtsNYnZOu8uyQO2owlYo8sGDvjLm86mM7jThElMmrorQqahfpquGhtZsWBEHqpgVBqCHF02g0UtI0IIVxPp0QHhYWxq1bt+p0cqsPnp6etGnT5pmDbBtCTEwMcrm8QR43KyuLM2fOMH78+L/seZuChw8fsnv3bt58880GX6RLly6lS5cujBs37pkHmiB2KVOnTiU5OZkzZ840+nhPT09GjhxJeHg4x48f59ixY5SWlkre1KGhody6dYtr167h6elJ27ZtycvL4+7duzg6OuLm5kZOTg7l5eU4ODhIbmxiFqQZgyDHrLARnRidvUHlgGDUily1yYCgkKEI7oI5Owkb30AUge0w3orBJbInNt5+VJw/jPfY8SicXUj//jO8nu9Oq7cW8eDnXyi7eJaoLT/j0iGUmJHTif/7R/h17cCsi/uJmDeVIws/YOvQ6Tw617jXSl3o9PpM+n39PjtHvcSD4+Lr1LNPJP2O76I89SExI6bgGBZOh5W/UHDuPDcXv4vzwDG4DxlF+vJvMFps0QwaR9GRXZTdS8am4yAMqbfQpSUh822LKe0WppyHCC4+mAszxYUYGzsoy4cSUfsrmPSiPapC9DBRKpWSt4per8fLywt7e3tycnKwsbEhODiYrKws0tPT6dChAy1btuTSpUtkZmYyYsQIHj9+zLFjxxAEgQkTJuDp6cnq1aspKSmhQ4cOREREsGbNGukG36tXL5ycnGoZfQG88MILREdHP9P7HqjlRWPFnTt3CA4OlihIo9EoBUlbP2/Pnj1EREQQEBCA0Wjkjz/+aHJ25F+4cVh9cGgnddIytR1mnRaLySTqpLWVWIwGZA4aLGVP+GlpuaXKdAmFDZiNok91tfXwp3lpK+Xh4OAguWoJgiCFWFo/Jzg4uNYWk6urK82aNWtQxlMX+vbty9WrV5skx2kM1kTjadOmNaiY2LJlCy+88ML/0y7aZDLx/fffM3Xq1Hp5cpPJxMqVKwkNDWX48OF/qkBbYWdnx/Tp07l+/XqTuH9BEKT0D2dnZ3bt2sXly5fR6/V4enrSp08fnJ2dOXPmDJmZmVLSS3JyMtnZ2TRr1gyZTEZGRgZyuRwbGxtprVwmk2EwmjEqVDW5aqMOmdoBWbNWUJyNwr8tMkdXyLmPuutAcfCdn4zb6CnoU5Pg8QP85r9B2a3r5O9eR5t338alRw9uLXwLpUxPv+M7UWqcON5vDLe//J6gwX2Yc+UQz704ioMv/50do+eQdaVxJdLTaDNmCKM2/0j03He49usmLGYztm4udFuznMCZk4gZNYOc0xcJ/f47Al6ZR9IXX5F16AR+f/sQQ1EB6at+xq7ncFQhHcj7fR06rRxlUAe0cUcx6Y3IPFpgvHcZc0kBgsYDc04K5pJ8UKqhOBvKC0CQITPqUFoMUrG2Lp3pquyMmzdvjlKpJC8vD39/f+zt7bl58yYqlYrevXtTWVnJlStX6N+/P3K5nAMHDqDT6Rg6dCihoaFs3rwZnU7H2LFjKS0t5ejRo9JrY/78+WzZsqWW+iMwMBAfHx/OnXu2tX3rDONpJCQk1EgWv3z5Mp6entLM5/z58+h0Ovr27YvZbOb48eNoNJo6rYfrwv9mcGhvLxVpQSZDbueAqbxM/NjBCVNpscg/G/VYDHpkVZ00UJXWUia+2at46YaGh9Z0CQcHByoqKqTjjbu7O/n5+dKd1cfHB61WW6ub7tmzJ/fu3WuyQRKI23StWrUiPj7+T18vK7Zt20bv3r0btCpNS0sjLi6uhoPY/wvs27cPpVJZ71INwK5d4oLGX9XhOzg4MGPGDC5evMiRI0dISkqitLS0UQqkc+fOjBs3jtLSUrZt28b169cxm80EBwfTq1cvioqKiImJwWQyER4ejkql4vbt2+j1epo1a0ZhYSGFhYXSooZ1iclisWBAhlmpEhsFBzdwcBO5au8gUNqAvhxl20gshdnIbeSouwzEmHgJez9PnHoOoOTI7zgFBeA5bipZa3/GlHmP8B/+gy43j4RXXsUrMoJ+x35HX1jE0agRpKzZwnMvjuLl+MMEDe/PnhdfZ/ekV59ZCeIb2ZkX/9jIra172dR/Ejnxt0RXyOkT6b13PQ82bOfcpLkoPZvReetm7IOCSHh9IRaVG97TXyF31xZy/ziE5oWZyB2cyNu1GbNrKwR7DZXnD2K2cULQeGG4fV4Mn1Y7Ycq4K1pCKGyh8JEYPCDIkBm1KC0m5FUKLas8tqysDKVSibe3N8XFxchkMmlpJC0tjdDQUHx8fLhw4QKdOnXC19eXPXv2UFRURK9evWjevDk7d+5EJpMxb948Dh8+LPHT/v7+DBw4sMYClxUjR45k//79z3Q9rSf4p1Hdx8ZisXDkyBGpi87IyCA2NlY6YcbGxmI0Gundu3eT5w//E7pDYW+HqfxJKy93cJAc8Ky8tCAIVTK84iq640knjdVjuorykIJpLeYavLQ1WcGqfbWzs5M8k63r0tUHinV102q1ml69enHq1KkmmyqBOFWOi4v70xtkIN6B09PTGyyCABs3bmTcuHHPtPNvDQL9s8jIyGD79u28+eab9Xb458+fJz4+nnnz5tVIufi/QqPRMHPmTECc0v/yyy98++23bNiwgaNHj3Ljxo06vbEdHBzo168fw4cPJzc3l61bt5KQkICNjQ1dunQhNDSU27dvc+XKFZydnQkNDaWiokLK9bOzsyMjIwODwYCDgwPl5eVUVIh+MgajCYPMRhyYCTKxqxZAJpMjb94WS1k+Mlcv5M1bY0q7gaptJ+TuzTHdPYfrwGHIlLaUndyFz5TpqAKDSPvmI1zCg2j97/dIW7Wa5K++IuTNOfTatYac4zGc6DeWvNhLdHj5RV6+fhS/3t3YMWoOB+YspujBw1o/e31wbd2Sqce20n72JHaOncvRtz5CW1SCY3BL+kZvwWdof2InzuX6Pz/Ha+QLdFy/hvL7Kdz9bAlO/UbhMmAYGSuXU3TjNi7j52IsyKPg2GEI7ITl/yPuveOjKtP3//c5Z1oymcmkJ6RXIAUChE4SpCsIggiCYll1rVj2o7u2XV1d122uva3YQFTYYEVh6SFIDyWEkpCQTnqdSZv6++NkDgkJIe7Hz/d3v155aSbDJHPmee5zP9d93dfldNB5cCt4hyDovLCdPYALFUhqHBVncDoc8sRwYwV0d8gKhPYuND0ca0EQFGy4vb0df39/NBoNDQ0NREVF4eHhQX5+Pr6+vowcOZJDhw4pDuLff/891dXVXHfddbhcLrZs2YKvry+33XYbH3zwgXKqXrFiBSdPnuxHn509ezaHDx++Isd6oBgI7mhra6OqqkqRjzhz5gwgExOcTiffffcd1157LSaTiRMnTlBXV8fs2bO5ePHikIu8/zu4oxeIL3kZsPdsKsnog6NVHi4RvUw4Lc2g9QCHA5et+xLcAVdsHvbGpXtDHkajUdm8l0MeICuwdXZ29rP/ioqKIjAwcEh6y+5wC5v/b4Zcvv32W5YtWzboRFRZWRlnzpxh/vz5P+u1N23axOrVq/9rZ/M1a9awdOnSK1b4BQUFZGVl8eCDDw5ZPwTkhW42mykpKeHIkSPs27eP6urqfjc7Hx8f5syZw6pVq3j88ce59957mThxIlqtlrNnz/LOO+/w2WefcerUqX43V19fX2bNmsV1111HTU0NX3zxBSdOnMBkMpGZmUlAQAAHDhzg/PnzREREEBsby8WLF6mpqSEgIECh67kdQtzGAgBWJzhUOln1UWeU8WqrBck3BNEYAOZ61PFjZd5160U8JszG2XgRVVctfvNuoP1oDq6LhYTft5qusgvUfvo2UXfcjM+kSZy45z5qNv2bsa88T9Lvf0Pesy+TPX8ldTuyGXffKu45uQ2f2EjWZS5l/aybyX1nLZbqq0/DCqJIym1LWfGf9eSv28S5TT8CIKrVxPxqJbN+2oza28juOcvoamgh8eWXGP7s01R+tp6L324l+g9/wytpFGWv/wWXVwD+t66m88xJWo/lopm8CKe5ic7jexFj00AUsRUeBmMQuFw4qgpwaT3lU0hTJeBCwInK0YVaJSm2eN7e3nR3dytVdVNTk4JVl5SUIIoiaWlpnDx5Ek9PT2bMmMHOnTupqKjgpptuory8nP379zN69GjS0tJ47733FD/Uu+++m7feequPPK7BYGDmzJl8+umnQ167zp7J597h1gFy49G5ubmkp6cjCIIyQp6UlERHRwcnT55k3rx5CIKgaKMPJaTnn3/++SH/lQNEW1sba9euJVOlZ9R9MofWabNxMesrwlaukJ9z9AC6sAi0IWGybKIkoY2IxV5bhiCpUQWEyVY/pkAELxOu6vMI/hGKT52g9wWXS07SkhqXy6VMGLpcLkVgyY1tGQwGZciltLSU4OBg5c4tCAIVFRX9jCGDgoLYt2+fIuZztRAEAYfDwfnz5/8ri5yamhr27NlzVdW5zz77jNGjR/8sxkRnZydPPfUUIKv6hYWF/ay/7dy5c2zevJknnnhiwAr54sWLvPXWW9x9991X1fzo6uriyJEj5Obmsm/fPrZv386xY8eoq6uTh0nsdnJycjh48CDNzc1IkoTRaOyzGQRBQKvV4ufnR2RkJElJSUycOBGVSsXJkyfZtm0bTU1NeHh4YDQalevp6elJbGws4eHhXLhwgQMHDuB0OomNjSU6OpqWlhby8vJQq9XK0ENZWRkajQZ/f3+ampoUrq/dbqezsxO1umf9CSKCpEJwOUBnAFFC6DYjmkJw2brA1oEUkoCzoQJRdKGKTsZWfBKtjxFNdCLmnK1oTUZMM+fTuj+brsKThN9+O7YuG0V/+TsiTpKf/x36mCjOv/sJ59/6EJWnB8n33ML4R+/CMCyIsj372fXbl7jwn2ysbRY8fE3ofLwHXE+t5VV8deM9pNy2lAmP3d3nOZJOS9D0KXiGhnDkvicwjUrEb/IEgq9fQHtRMcX/fJ3ABYsIWryMuq+/oL3gDIG33IfKy0DTN+tQDYvDc/RUug7+ACoN6uRpOEpO4uowI0Yk46ovk7W8fUPB3ABOe08j1orYcx0dDgc6nQ6n00lXVxf+/v50dnZisVgIDw+noqIClUpFXFwceXl56PV6kpKS2LlzJ0FBQYwfP57NmzdjNBrJyMjgxIkTFBYWMmrUKCIiIjh16hQlJSV99lFKSgovv/wyY8eOHZIm+8GDB9HpdH1eo7q6moKCAkUm4aeffiIuLo6QkBBKSkqw2WwkJiZSWVlJd3c3iYmJVFdXY7fb8fPzY+3atdx+++2DzhX8Ykk6Q9Qx6oG7lMcrPl1HxB23AWDOO47a24RHVCy2mkoc5hY84pNxNNfi6rCgDo3D2VwNkgbJOwBnay2ip7eio4DeRz5i2rvlgQLkDqokSUiShMViwdPTUxlNtdlseHp6olKpaG5uRqPRKInXYDBw7tw5AgIC+tDd1Go1kiSRn59PfHz8kBpgvr6+/Pjjj6Slpf1sOs+ePXvw9/fv03C4PMxmM2+++SaPPvroz9IC+eKLLxBFkcmTJ9PY2Dikaare8eqrrzJ//vwB7/QtLS288sorLFmyZNAbh9Pp5NixY2zcuBGNRkNkZCQpKSlcc801TJ8+XXFccdsmxcbGKv6GO3fupK6uDoPBcMXF65bNHDVqFKNGjaKtrY29e/dy8OBBxdZLr9crzJ+YmBgiIyMpLS1VDHF7u7ycPXsWo9FIXFwcFouFiooKfHx88PT0pL6+HkEQFBaIw+GQKaBOFy5RhSgKCCDrgDhsCC47ok8ILnMjglqDGBCJs/o8kskfKSAce1EuHnEJSAHhWHK24BERgXfGbJr3bMNRU0bE3XfjdELR318BWxcjf/cIgTMyKP/3d+S/8A9wOolcMJsRSxcw7sE70Af6U/nTEfa98CrH319Pw7kiHFYbXkEBqDx0NJw5z8b5tzHu/tuZ9Nv7r7i2jcPj8B2TwuF7H8czNBjvpBH4TJyAZ0wUBX98EZfDRdTq32BrqKPqX6+hDY/Bb8ltWI7spT3vMIZZy8HSTHfuTlTxaYh6b+xn9yP6hSN4euO8WIBgCEBQqaGtHnR6WcLYYUVUaXD0WOSp1WrMZjN6vV6BP8LCwhQj4sTERM6dO4fL5SI5OZmdO3cSERFBSkoKmzZtIiIigvT0dL7//nucTicxMTGkpKTw1ltvkZSUpHD9PTw8CAgI4LXXXmPRokVXhex++uknvLy8+uioV1dXc/bsWSVJZ2dnK7/jzJkzeHp6EhUVRUFBAUajkZCQEAoKCpQT6lCS9C+ISV8Gd3R1KW4tKoMRu1luDErePjhaZRxI9PLBae6BPvQmXG5KntsIQBAuOUALIrjA1aOI58amRVFEpVL1gTza2tqU47O/v3+fQRZJkoiOjh5QoD8xMZHOzs4hQxjuSu3njou7XC6OHDnC+PHjB33etm3bmDBhwlXNMXtHe3s769at495772X06NFD0ijpHadOnaKmpmZAj0M3QT8zM5PJkydf8TVKS0v517/+xalTp7jllltYvHgxY8eOJSIiYkBcXRAEAgMDSU9P5+677+aBBx4gODiYrKysAXmul4fRaGTatGk88MADLF26VBGpevvtt9m1a5fihWkymbjmmmu44YYbaG9vZ8OGDeTn55OYmMiECROor69n7969io51S0sL5eXl+Pj4oFKpuHjxoqJp7nYrd7lcWB1gV2lx0SMS5hMqS38afREDImWTgWExSAHhuBpKZbzaFADlJ/HJuAbNsHDMOzfhnTSCwCXLadz6DbYLJ0l86Q8YR6WQ/z9PcPHz9ST+z71My/oIS3Ep2ybNI/+Ff2BrbiHuuhnMe+fP3FeYw5Ksf+E3IpZTa//N+4nT+WzGMjbMv42MFx5n3IO3X/Va+k8Zz7R/ryH/hVfI/9M/cXR14ztpEmPXfkzb6dPkrX4U76kziP3jPzAfP0LpX59HP2UuhmlzqV/3Jt0WG57X3Iw1fz/dBbmokjNxNlRiv3ASITgOZ8tFnA2VslFwW73MApHUiLYu1MIl7XeTyaTs6cDAQEVMy2q1Ul5ezsSJE2lra6Ouro5rrrmGbdu2IUkSixcvZuPGjVgsFh566CG2bNnCmTNnFN2aV199tY8h89y5cwkNDeWjjz666rVxm0kMtH7d0dHRoazx5uZmRbysrq6OoKAgbDYbjY2Ng04VXx6/ILvj0mYSRBFJp7s00GIw4lCStB92NyZt8MFlkRO2oO/1/x4GWb4UQKMDa0/zUJTA0Z+K19sJu7fuLcj6EL0xRZDJ7PX19X3I7+7XnDp1KgcOHBhyEzE1NfVnszzcU2/R0dFXfI7bB3GoSlnu+OKLL5g4cSKxsbGMGjWKU6dODVnIxeVysW7dOlasWNHvZOByufjoo4+IjY1l3rx5A/775uZmNm7cyDfffENGRga33377FfWwBwuDwcCUKVPw8fHh9OnTQ/53giAwbNgw5syZwyOPPMLixYv7Jezm5ma8vb3JzMxk8eLFdHV1sWHDBs6dO0dKSgrjxo2jpqaGw4cPo9frCQsLo7y8nPr6egICAnA4HNTW1iJJEk6nk7a2NpxOJ06nC6tLkPFqFzILxBCA4OhG8g9HNPhBZwvqmNEIHl7QchHdmAwEXAjVp/G79gZUBhOWnV/hN2USvjPnUbPuX9hKTpHyj5fxy5jGuT88R+lbbxJ/zwpmbM/CabOxc/oijj/+HJYLZQiCgP/IONIevIOlX63hwZKDpP/hMZZkvU/i8qGvI+/E4Uz/zwbaS8rZNXspTbkn0fj5kfL6q7La35130XT4GJFPvkjA9Uspf/UlWo8dI+Cu32Kru0jd5++jSs5EHT6cju2f45Q8kMJGYMvbjcslgZcPjpIT8ri5KMmNRVyy4YDLhiSJOBwOjEajUoAFBwfT2NhIcHAwkiRRVFTEmDFjsFgstLW1kZ6eztatW/H19WXGjBl8/vnneHh4cM899/Dhhx9SW1tLeno6MTExrFu3rs+aeeqpp8jKyrrqcIndbh9wX/SOy5O0r68vDodD0XGvra3Fz89POeUPJf5PVPBAZnTYe5KgysuIvWfSUNW7kjb44DT3JGavS5U0vZO02kMeP4We5qGcbK9Exbvc71ClUmEymfoIbKvVaiIjI7lw4UK/9xESEkJISIjisHK1iI2Npa2tbUi+iO44evSo4uF3pTh8+DC+vr4kJCQM+XUbGxv5/PPP+fWvfw2gTHddPjJ7pThx4gStra0DWnIdPnyYxsZGli9f3u+47HK52LNnDx988AHBwcE8+OCDg4q1DzWmTp3Kvn37frYbBsibLzQ0tE/CttlsfPDBB3z55ZdcuHABg8FARkYGN954IzabjY0bN1JUVERqaiqjR4+msrKSvLw8/Pz8MJlMFBUVYbFYCAwMpKOjg6amJtRqtSKF6nK5sDsc2AQVTkkjK+x5B4OHAcFp66HsaRFsHaiHT0Bw2hG629CNm4GzuQaxpQT/G1aACzpyNhN07XUYUtMof+Mv2MrPkvLq3wiYOYOzv3+O4r//nYgb5jJr3w/oggLJXnALB3/1CLW798kehoBKpyVy+mRCxg2Nj9s7dAH+TPzwNRKfeIiDd6zm9EuvIogi4atuIeWN16j59nvy7nsAbUQcCf94DySJC3/8HerYUfhct5ymrz7BfPo0ntf+CkdzDZ2HtyElTMJlbsRedBwhJOFSVW0MkIdguiwgSEh2uanocDjQarWK0mVISAgtLS14e3tjMBgoKCggNTWVxsZGrFYrkydPZsuWLcTFxZGYmMjGjRuJi4tj0aJFvPXWW3R0dHDfffeRk5PTh4cfGBjIQw89xPPPPz/ogIvdbv9ZlXRTUxO+vr40NTVhNBrRaDRUV1cTEhKCxWLpo3U/WPxiSdrp6PvmVF567OaecXCjEXsP71Ty9sFhbsXlcMhcaacTV3enPBre1S57IHoYoKuHG6vxkEfFXS6QVP2GWtxUPEEQlAvsZnm4N7db/L/30Tk6Olpx8rg8Jk6cyNmzZwfUsL08RFEkOTn5Z/myFRcXX7XZuGfPnkHHsC+P/Px8Vq1axa233tpHxzk6OlrxALxabN68mRtvvLEfNtfd3c2mTZu49dZbB8Tes7OzKSws5P777ycjI+O/Fn+6PGJjYzEajWzZsuV/RXV0J+y5c+fy2GOPER8fz9atW3nvvffIzc1Fq9Uybdo0lixZQkdHB19++SWlpaWMGzeOlJQUysrKFElNjUZDQUEBDocDX19fWltbFQnVjo4Oxc7N7nRhE9Q4RRWIahkCUWkRBQEpNAGcdgTBhTpuLHS0IkmgS56EveIMqq4a/K67AYe5ma6jOwmaNxeP0HDK/vYcnacPMfzJ3+CbkU7R3/5B/urVeEcHMyv7GwKnTeTsP97hx1GZ5D7yDDXbs3H8l3Ko7ghdOJdxr79E1eZLdnJeCQmkrnkf/xnXkPfQamxtZkLvfIDIJ56j5rM1tJeVE/LYS4gaDfXr30E3YT66tDl0Zm8CnzCkyBRsJ3eBTziC3gdHaZ6sQGjrgvZG+TrZulBLosL+cM9BDBs2jI6ODry8vPD39+fChQukpaVRWVmJp6cno0ePZtu2bWRmZqLRaNi1axcZGRnEx8eTlZWFt7c3Tz/9NG+88UafJLlo0SK8vLzIysq64rXo6urqJ9vg5+fX53U0Go0y6SyKIna7XXGRAhky9PLyoru7e8iU2v8TTBpA5WXA0UP/UnmblEpakFTyQEubrG4lGn1xtDUiiJKcqC0tCJJaJsN3t4OkBlyy6I0gyia1l/keuql4bshDrVaj0+kU+pler8fLy6tPNa3VagkNDR0Qf9br9SQnJw9ZSCkpKYkzZ84MOZFcbmF1edhsNo4fP35FA9rL46uvvuLRRx/lt7/9bT8HYjff92rR2trKqVOnmDZtWr+f7d69m5iYmAGZHLm5ueTl5XHLLbf8LLGaoYR7BLiiouJ/xfnuHWq1mnHjxnH//fczd+5cCgsLee2119ixYwdOp1OBQdra2tiwYQMVFRVMmDCB+Ph4zp07R1VVFREREQqzx81GaWxspLOzE1EUsVgsyka1OVzYJC1OoUfywDcUBAlRrUUalgAuB6JWgzp2NHS3o9J7okuaiLOpGrW1Ad858xEA69lDBMyYgXHcBBp+/Arznu+IWHkD0Q/cR0vuMXJX3IK9uoyxf3maa7Zn4Z08gsK31rBlVCZH7n+Cik2b6W66ujTvQFGxaTPRty/v85ggioStuJmwFTeT99AjWBsb8YxNIOb5v9O49VvqN2/CtOg2PFMmUPPen0Hvi37u7XQd+gGHuQX16JnY83bKfaXgOBwlx8HDJBdhbbU9J44uVD0ZShRF9Ho9ZrOZ4OBg2tralIGYyspKxo0bR35+PhEREfj5+ZGTk8OiRYvIz88yFW6AAAAgAElEQVSnqKiIm266ibNnzyrUtxUrVvDyyy8rsKYgCPzud7/jww8/5KOPPhrw9GaxWBRzXndERkbS2dmpJGo3EwVkym9VVRXe3t6KLLJbsVOtVg8ZUv0FedKOPklKZTRgV5K0D/bWSwtE5eOHvVnmL0tGP3mcFBAMfrgsMl6tmAIIgux1aO0xqZUGhjzcMoLuv6E35AGy04O78eOOmJgYysvL+/An3TF69Gjq6+v72PpcKYYNG4bdbh8S5GG322ltbR20GXj69GnCwsKu6pjicrl46aWX+OKLL1izZs2AGtO9x+UHi7179zJ+/Ph+d/f29na2bds24LRjYWEhe/bs4dZbbx2UK221WrFarf8VbKHValm5ciWHDx/+RfW8BUEgJiaGFStWcNddd2G323n//ffZsGEDjY2NTJ8+nYULF9LU1MSXX35JVVUVEyZMIDQ0lLy8PJqamoiKiqKzs5Pi4mKFQdTQ0IDNZkMQBNra2pTxZ5sTbJJWHobR6uVkLYqIGh1SSIJsEafToY6Wk7WkFtCNTocuC1JbOb6z5qE2GunK3Y13fBQhK26j+2IlNZ++iTHSn+R//BmP8DDOPf8CZ594Ap2XhsmfvsnM7G/xnzKeyu+2sm3CHLIX3ELBa+/TcurskIqKrvoGanbsJfLmgaddQ29eTtC18zj18KPYWtvQBAQR89zfaTu4j5r1azBOn4/3NQuo/eAv2Du78Jp/D9b8/dhKz6BOm4+t4BDO1gbE0JE4So+D1gAI8mi5Wodg60YlolTU7inFYcOG0dTUREBAADabDbPZzMiRI8nNzWXSpEk0NTVRVlbG4sWL+fbbb7Hb7axatYq1a9fS0dHB9ddfT1BQEGvWrFHeixuv/umnn3jooYf6TScPlKTdlnzuvlR4eDiVlZXytQkNVSp8h8NBd3e3At30llq+WvxiSVpQSX2nDr28lAEWldEbR68kLZn8lSQt9krSosFXYXvI8qU9SbYH8pCfpOqTpN1ea2q1WtZb6HnjXl5edHV1Kd+7q+neVlienp6EhoYOqISnUqnIzMwkJyfnqhodbr+9oTS5mpubMRgMg1L2Dh8+PKQq+vjx4+Tm5vLpp58SFRU14HP0ev2QkvSuXbsGtMTasmULY8eO7deNrqys5Ntvv+Xmm2++4g2ntbWVXbt28dlnn7F+/Xo+/PBD1qxZw8cff8y6dev44osv+P7776/qG2c0Glm5ciVbtmyhrKzsqu/l54avry/z5s3j0UcfJTY2li1btvDOO+9QWFjItGnTWLhwIR0dHWRlZVFeXs64ceMwmUwcO3aMjo4OoqOj6ezspLS0FK1WiyRJ1NfXKz2S3sna6k7WXJastToZs3Y55GQdmwq2DkRnJx5jpyPgRKgrxDdjOtqIWNp/2opG6CLivodRB4Vw8YPXsZWdZvhTvyH2id9gKSjg8I3LKH3zTUwJUUz6+A2uy89hxOMP0N3QxOF7HmPrmBkcf/w5qrftUYyjL4+y9ZsYtmA2GtOVNWMi7roT04Tx5D/2P9jb21H7+BL9h7/Scf4cVf96Hf24qfguvoP6T1+lu7oS/YJ7sFeep/vkXjTjF+CoKsBRU4IYloij7ITchxIlWVlPrUWwdaOW5IJMq9Wi1Wppb28nJCRE0fxoaGjAw8MDPz8/Tp8+zaxZs8jNzcXT05Nx48bx1VdfMWLECJKTk8nKykIQBB555BGOHj3aRywtODiY999/n+TkZFauXMmhQ4eUn7W3tw9YjLgHbkAuBt2VdFhYGFVVVQpbpaWlRamk//9J0pKE09YrSRsuVdKizgOX04mzJ9mpfPxx9E7SrT2VtJcvLnPvSrrHBLankgZkXNpxScfDTcUDuZrujQe5PdfcMVA1PXz4cOrr6/tMJrpj2LBhREdHD+monZiYqIyEDhZXgzpcLheHDh0aUpLetGkTS5cuHRTbGgrcUV5eTmNjYx/+J1zSr16wYEG/xzds2MCiRYv6DQWBvJhzcnL45ptvMJlM3Hrrrdx5553cfffd3HnnnaxcuZIbb7yR+fPnM3LkSHJycvjxxx/7VS69IygoiCVLlvDvf/97wM/qSuFyuSguLmbdunU89thjPPXUU/zzn/9k/fr1bNu2jRMnTnDx4kUFN0xLS1MMhEtLS3nttdc4cOAAKSkp3HTTTWg0Gr777jtKS0tJTk5Gp9Nx9OhR2tvbiYyMpKOjg4qKCmUwo66urk+ydp8orC6wSTpciJdoe4KEqPNAComXK2u1CnX8OFy2ToTOZnTjrkHU6qDiJKbx4/EaM5H2gztxlJwkdNWd+GTOou6rz6n77D0Cpo5j/IbP8R6TyoW33ubI0mVc3LgRn5SRjPrTU8w5uJVpmz7GKy6aonc/4cdRmRy882HKvvia7nr5c3Da7ZSs3UjMnSsGvcaCIBDz8Gr0cTGcfuJ3ODo7UXkZiH76JWwNdZS//hd0cUkErHqYxqwP6Th7Ev11v8LV3kbn/u9Rj5uHs7kaR2UhYngKjvI8XJJWFllrvqhAH72biW7WR0BAAPX19cTGxlJaWqrAD42NjWRkZLBjxw5lL+Xk5HDTTTdRUFDA4cOH8fLy4sknn+Sdd97pgyurVCoeeOABXnjhBZ577jneeecd7Hb7FZN0b4ijdyXduxfm7e1Na2urkqR/jozCL5akRZWqfyXddmlEW+Xtjb1NrqZVPr0qae/LKmlLz0b1MEKXBZerR1vaYcXldMgmAIIArksNRHdDUKfT9TlWuy+MO4kPVE2r1Wql8TcQJ9fNn70adzosLAyr1XpVm/bGxkb8/Pyu+POqqirsdvug9DyQh0r27dt31XHxocAde/bsITMzs9/C+eGHH8jIyMBkMimPdXZ2sn79eq655pp+zJOuri4OHjxIVlYWGo2G5cuXM3bsWKVpIgiCMgnq6empDI/cdNNNRERE8OOPP7Jz506F13x5xMbGMmvWLNavXz+kRN3Y2Mgf/vAHPvnkE/z9/Xn22Wd57LHHmDt3LiEhITQ3N5OTk8O7777Lb37zG959913y8/NxuVxERUWxbNky7r//ftRqNR988AE//vgjERERrFixgsDAQHbv3s358+dJSkrC09OTY8eO9UnWbn9Fh8OhJGv3WPylZC1cStY6r55kfRkMIomo4tMQHDYw1+GROg3RYMJRfARDQgymzLl0nj1Oe873+GdkELJ8FeaTuRQ9/RBCdwuJf36BES++QEd5BUeXr+DM756m7j/b8AjyJ/6+O0j/+hPmHPoPw+bPpnZXDtunzmf3nGX8tOxuPMJCMCVffaJWEATif/dbtEFBnPvD8wBIOg8if/tHwEXl239HGxlP0D2/o3X717TnHcFz9i0Iai0duzagHnctTksTjqpCpMhUnBWnQNLKFNyWizL0Ye1E3WPQ4C5M3PofLS0txMTEUFRUxOjRo7lw4YIihJadnc3ixYs5cuQIDQ0N3H///Xz55ZfU1NQQHx/PihUr+Otf/9oPjps4cSLr168nPz+fRx55BIvFMmCSjoiIoKysDJfLpRgbmM1mdDodJpOJmpoaTCYTTU1NikGJy+W6orXX5fGLwh19KmlvowJ3yN/7YGuR6XYq34BeSdofR2uDvCl1enA6ZblHSSV/QJ09Qy1qj8uqafl3ufmqICfs3g1E99Gzt25raGhov2o6ODgYvV4/YCJWqVSkp6dz4MCBQek5giCQmJh4Vcijd6d3oCgqKmL48OFXpa/t3r2biRMnXlW6tLe2yZUiLy+PtLS0Po91dXUpEpG9w01xGjt2bJ/H8/Pz2bhxI1arlaVLlzJx4sQhO09IkkRycjLLly8nICCAXbt28c0331BaWtrvuampqUybNo21a9f202C5PNRqNS0tLTz33HNce+21+Pn5ERgYSFJSEjNmzGD58uWsXr2aF198kb/+9a8kJSXxzTff8Mwzz7BlyxZaW1sxGo3MmjWLRx55hGHDhrF+/Xo2bdqEr68vK1asIC4ujpycHCVZe3l5KTBIREQEHR0dXLx4UUnWvfsWZrOZ7u7uXsla25Os3TCIClGtQQqJQxBAEByoY8eASg0t1egSRiP5D8NRchIPbzW+s64Daxdt27Pw8NYybMUqXE4HpX95lppP3sQ0IpLR77yO79Qp1G3bzqGFizl5/4OUrfmQzgvFhC6Yw4QP/sm1p/Yy6k9PEnfvbUxc8+qQPkOQT9MeYWGoek3PiWo14Q88TtuJIzit3agDhxFw60O0bv8KXOCReSM4ndjLzqAZO082ErDbEMOScFSeAa8eJ6BuWb5YsHej0Wiw2+2K5Km7YS1JEn5+fjQ2NpKUlER+fj5paWm0tbXR1tbGzJkz2bFjh8L02bRpEwALFizA4XBw7Nixfu/Jz8+PN998k6NHj2I2mwfcb35+fnh7e3PmzBlEUWTChAmKZGpSUhLHjh0jOjqa8+fPo9PpkCSJurq6//fsjn6VtMGArRfUoPbxxd4ibyqVXyD2RrniFHV6BFHC1WHuYXv442yTE7jg2Ys7rdVDd4f7lylJ2g139G4guiEP913WLTsJcmWp1+v7VbxJSUkUFxcP6LgybNgwAgMDrzq0kpSUxOnTpwdtyPRudg4UFRUVQ/Jc27FjB7Nnz77q867WRbbZbFy4cKFfVXzixAmFAueO06dPK9ZGveP8+fPk5+ezcOFCMjIyfpbgUu9wu367K/ADBw6wf//+fieccePGkZGRwbp16walSbrHcAeaLr08PD09ycjI4Nlnn+Xee++lvr6e5557jvfee48zZ86gVquZMmUKjzzyCHFxcWRlZfHZZ5+hVqu56aabiImJITs7m6KiIpKTk/H09OT48eNYLBZCQ0Npb29X3GDclbWbmdQ/WetkNojWE3zDQK2TXcxD4kCrQ3B0o4pKRPQJQuhoQhM8DG38aLA0IbaW4puegT45FeuFszhL8gicNYugG5Zib7dQ8fqfadv7PQGTRpP63puErlyBo6uLknfe48C86zjx6/sp/+gjBKcN/0lp6AKvDM25w2m10nL8OGVrPqJqw0bCb72lz89FrQ5dWCSdxbICpSY0CpV/CO0nDyIIIrrxc+g6tgtE2UjBdvYnBGMAgocXzvpSmWturu8x/3AiuBxKcebuuQQEBNDQ0EBISAiNjY2Kul5lZSXjx4/n8OHDjBo1ShH3mjFjBpWVlRQUFCAIAosXL+brr78e8P1JkqT0XQYqngRB4JprrmH37t0AzJ8/n5ycHFpbW0lLS+PMmTNotVqCgoIoKChQ1Dj/n0uVCiqVQqIHUBuN2HttIJXpUpKWjD44Osy4ep4vmgJwtsoVhmD0w+VO0noTro6eJK3xBGsPtipKMhWvR7q0dzWt0WhwOp1KYjIYDHR0dPSpggfCpvV6PVFRUVfElSdNmsTp06cHTQqhoaHY7fY+cMrl8Usk6ebm5ivS5S4PtVo96AmguLiY0NDQftoghw4dYtKkScr3DoeD7du3s3Dhwj486IaGBg4cOMCcOXP6wCLucDqdVFdXU1lZ2eeroqKCiooKamtr+10PURSJjIxkyZIltLW1sXnz5n6QTVpaGuPHj2ft2rWDYu4pKSk/i8MOsiribbfdxssvv8yIESP4+uuvefLJJ8nKyqK6uprx48ezevVqRo0axbZt23j//fcxm83ccMMNREZGKu7XycnJeHt7c+rUKVpaWggMDMRsNiuVNcjjwna7XYFB3MnazQZxCpLsZm4KBa0XoiggBUYhGv3B3oXkPwwpfARYOxCx4jEmQ57krTiNh68Ov/mLURkMtO/fhthUTsiymwm59W4cXR1UvPEyTd+uQx/szcgXfs/kH78n8q47QRAo//gTDt+whIMLFnLq4Ue58Pqb1Gz+AfPZc9gtFlpP5lH20cfkPfQwB+ZeR8kbb+Ho7CTxL3/GMzqq3zX1TEikveDS3jJmXod57xZcTieq4Cgk7wCshbkyhxwBR1UhYugIXA0VckGmM4ClQVHGlCQZn+59KtXr9bS1tSlToomJiRQWFhIWFoYgCJSWljJ9+nR2796NSqVSehxOp5P09HQqKioGHHADGD9+/KDFx/Tp09m3bx82mw1fX18mTZrEli1b0Ov1DB8+nOPHj5OamkpeXh5BQUE4nc5BezC945eFO3pX0gMkaVtzT1NQFFF5+2Jv6aHhmQJwtMhJWq6kexqJvStpjQfYbT24tNAH8uiNS7sFddyMDEmSMBgMfUYw3drBl1fTcXFxtLS0DEil8/LyIiUlZVDHEEEQlGr6SnG1JF1ZWXnVJL17926mTJkyJNGlq1XSZ8+e7TdY09raSklJSZ9GonvyrvegTFdXF9u3b2fq1KkDMjzcWhglJSXU19f3+WpoaKCxsZGioiJ2795NcXFxv79Tq9Uyd+5cIiMj+frrr5WGjDumTJlCUlIS69atu6LnZEpKyn9N3fPw8GD69Ok888wzPPbYY0iSxNtvv80f//hHtm/fTmRkJPfddx/z58+nrKyMN998k7KyMmbPnk14eDjZ2dnk5+cTHR1NYGAghYWFSk+ivb2diooKhZXknppzOp0Kz9rhcMjJWtTgEFW4VBrZINfLFwEXkikQMSASwWlH1GpRxY+VYcLmKrQxI9GOHI+rpQ6qz2CaOBHvGfOx11fT8u0nqBwdhP/6QULvXo2js4OSl5+h+Ln/wVpZRMj115H6/rtM2bWd1A/eZ9iym1CZvGk+fITCP/2Zg9ctoPiVV3GYLYTevJyJ33/DmI8/JGb1g5jGDiy6pR+eSEfhpSSti0sElYquAllbRjtuJt0nssFhR504Bfv5I4CIGBSLs+qcDHt0tsk8alGS7bl6ChB3c9w9XOTj46Pc7IKCgigqKmLChAkcOXKEkSNHYrfbOXXqFGlpaUiSxOHDh1Gr1SxYsECBQC6PF154gb17915xrQQGBhIVFaXMVlx77bUcOnSIxsZG5Xf7+/tjNBopLi4mISFhyBpBP0+6bZAQVSpctr5Jug/cYfKlo+jcpZ/7+GNvakAdEILoHYCzuccbzeiPs6BniKRHh9Zl60JQ63BpPOQBFw9jD+RhA5UGscftwd1F1+l0NDU14eXlhSAI+Pr6UlZWpgjlgFz1nj9/nsDAQGU8W5IkBcvKzMzsN7Y9atQosrKyBq12hw8fztatWweks8HgSdrhcHDx4sWrSovu2LGDJUuWDPocd6hUqqsm6d4VM8j2P6NHj1amq5xOJ/v27eP6669XnuN0Otm9ezdRUVHExsb2+fednZ3KqSMxMZGgoKBBMfaWlhZKSkrYtWsXoaGhREVFKXxUQRBITU0lMDCQXbt2kZiYyJgxY5TXmz59Ot3d3Xz++eesWrWqH94fERGBxWKhoaFhUKfzq0VISAiLFy9m0aJFFBUVcejQIV544QVFcW3x4sW0t7eTm5vL2rVrCQ4OZvz48ajVavLz87FYLCQmJmIymRSsPTw8HLvdrog4SZJEc3MzarUavV5Pe3u7UnS4RBFQoRIFRKcdwcsfBAGhowVBpwfvQJxdZnB0o4pJAUQc1cVIagH1xLk42s1YCw6gUevQ33gL9k47lkO7sVVX4JmShu//PIvdZqftYA4lf3oKlcGIYdxEDKlp+E6ehN+0qf/1tQPwHJ5I1QdvyINoPawsY+Z1tO39EY+RqagCwpD8h2E9dwRt8hRZLbA4F9XwiTibKnC1N8vvubVGhoC6OxA08l5296KsVqtichsVFUVJSQkjRowgJyeHiIgIDAYDhYWFzJ8/nw0bNpCQkMCyZcv417/+xdixY5k/fz4PPvjgkCmwl4cb8pg6daoimfrDDz9w2223YTQalTH2/fv3s3Tp0quSA9zxy1LwelXSau9Lo+AAKh9fbM2XynvJJwB7U0/17BOIo6UnSXt6g92Kq0dUSfD07lVN98KlJZkv7U7M7uMPyMnWrakAcjV5eTVtMBjw8PDoVzUHBQXh6el5xSbi5MmT2b9//xUTbWhoKI2NjVc0mZQk6YrwQ11dHSaTaVDHcLPZzKlTpxTr+KvF1ZJ0YWFhP0nSo0eP9lmkBQUF6PV6xbMNZHzaZrP1Mc91uVyUl5ezd+9ejEYjmZmZipb3YGEymRgzZgyZmZmoVCr279/P/v37qaqq6mN/tnjxYioqKti8ebMywSUIAnPnziUgIIC1a9f2g6NEUWT06NGKbOX/NkRRJCEhgVWrVvG3v/2NqVOnsmfPHp566ikOHDjApEmTePTRR0lJSSE7O5stW7YQFRXFzJkzaWpqIjs7G51OR2xsLHV1dZSUlODj44NGo1FcYdwqexaL3DR3a4M4HA4cLrAiYXcPxngY5SajJFfkUnAsot4E3RYk3yBU0SmyDk5jObr4UWiHj8VRU4Lj3F4MCbH4L7sTyceP5u/W0fr1R+h8vIj6zVOE3HEvOJ1c/PhdztyznJKXnqb23+swnziC3dLfFWegcDmddFdX0vLTbuq/y8LRbsHRcQmaUhl96S4rwtEzjaxNnIT1vNy8U8VPwFF+BlwuxJAEnHUXZMlihx3sVrmJ2Kua9vT0pLOzE6PRqOjLe3h40NbWRmxsLIWFhUyYMIHjx48TGhpKXFwcBw8eJDY2lqioKPbv349er+eJJ57gjTfe+NkmtSBb8Z06dUrpgcyZM4eTJ09SUlLCpEmTyM7OJjAwELVazblz54ZcNPxyjUONul8lbW+75E2n9vPH3nQpSav9ArE3yYlZ8gnC2VSrJFzROwBna0/S9rqkjodOD92WSzY2vQSX3Ena/fvckz3u7wdSw3OTzXtvXjdkUVRUNOAQi/uOfCXsWpIkhQo0UFw+Cdk73HP9g8WpU6cYMWLEkPWl3cYIA0V3dzctLS0EBwcrj3V1dVFVVdWnkZiXl9eneu3u7ub48eOkp6crpw2r1Upubi6lpaVMmTKFhISEn22ppdPpGDFiBDNnziQmJkYR6ndfL71ez/XXX090dLTCVQb5M7v++usZPnw4H3zwQT+tkmXLltHY2MjHH3/8iyRqd6jVaiZMmMDjjz/OI488QlVVFc888wzfffcdUVFR3HPPPcybN4/c3Fw2btyIj48PixYtwmazsXPnTmw2GyNGjKC5uVnRG/by8qK6upr29na0Wi0Wi4WWlhZFK93NtXZc3mTUeMi4tYcBQXAh+QQhBkSAw44ogjouFdHbH1dbHZLoxCM1HdFgwl54FKEyD+8xqfhetwTJy0jrtq9oyfoAydlB8A1LiP39n/GdtxCX00n995soeOh2Tt+9jMLH76Pkz89Q8e4/qdnwKY3bvqc5ZyfVn3/EhT89JSf3l39P65EDqE0+xP7pNVReMhPDcjSH+s/ewP/W1UgGmTFhr6tAFRwlX1yp55AviAhaPditPdPHHmDvVnR83GvSXZg5HA4F/vD396e5uZnQ0FDq6+sV9bmGhgbGjRunwJLjx49XJH2TkpIICgr6r/xL9Xo9Dz30EC+99BKtra3o9XpuvvlmPvnkE+Li4ggMDOTHH39k+vTpHD16dMiY9C8Gd8jDLJcqNlGtRtTpcFgsqAwG1L7+WJsucVtVfoF0l8uJTPQ0gCjKY+B6b9l9uKUOKSACwcsXZ0UPxqvSAi75TqrWyroeDhtIauXDcidwjUaD2WxWlKvcFj1NTU2KC4PBYECv1/eDGLy8vAgPD+fcuXOkpqb2fZ+CwKRJk9i8eTMJCQkD0ukSEhIUV4jLw8fHR6kCL4/u7u5Bq2iQk/RgRgGXR2+8/vKoqakhKCioTzI9f/48kZGRSnOwq6uLkpISFi1apDzn+PHjREVFKWPrdrudffv2ERQUxJgxY/q8nsvlwmKxYLVaFUMG95f7hmkymfDz81OaaZIkERwcTFBQEGVlZRw8eJCwsDASEhJQqVQkJycTGBjIjh07qKurUxQF09PTCQ4O5ssvv2Tx4sXExcUBcvJfvXo1b7/9Nl988QUrV64cskLfmTNneP311wkODiY6OpqoqCiio6MJDQ3tMzUaFhbGXXfdRUNDA9u3b+e5554jNTWV9PR07rjjDsrKysjJySE7O5upU6dyww03UFhYyM6dOwkNDSU+Pp6mpiZKSkoICwvD29tbmVp0u5S46WbuJqNarUar1eIARFGDJMhVl+AVIEMhnWYErQ4M8bjsNlwtNUhGHxgW11NdV6H29UWMH4XDZsVeeQ4aqzGOjEcMmoWtw4q19DxtezaDy4U2ZiSB185HG/M/oNLgaGnC1tSIrbkJe3MjXRVlONrb0YVFELDgRjxi4lEZ+1LWXA47zT9soKvwFEG/fgp14DBlndgu5OExTR4/d3W1I+hk0wZXL4liVGp5//fo+MAlc2q1Wo3VakWv19PU1KS4o6jVajw9PWlubiYiIoLy8nLGjh2L1Wqlvr6exMREPv30U6xWKxqNhszMTLKzs/vRUocS6enpXLhwgZdffpk//elPpKWlkZuby+bNm1mwYAEffvghRUVFZGRkKGyQq8UvV0mr1TitfY/VapM3tpYe9TsvAy6rFUeX3OBR+QUpNDwAyTcYR5Ps2C2aAnH1VNJ4GMDahct9J9XKCnnyP5Kbh70hD/fGd2N5vRtKPj4+ili7O6KioqipqenXeIqPj1eaW5eHr68vYWFhV2QNxMfHU1xcPGBydI+HDlTdDiVJ5+Xl9ZsMHCzceP1AcfHixX56zwUFBX3gjzNnzhATE6MkULPZTEFBQR+3l7Nnz+Lr60tSUlKfBO1wOCgqKqKoqEgRIBIEAU9PT/z9/QkPDyc0NBSr1crp06fJy8ujsrKyD4UyKiqKzMxMrFYre/bs4eLFi7hcLgIDA1m8eDG1tbX85z//UU498fHxLF++nG+++aZPw1Cr1XL//fdTXFzMli1bhnTtrFYrr732GkuWLGHevHlotVr279/PSy+9xLJly1i9ejVvvPEGe/fuVWie/v7+rFixghdffJGQkBA+/vhj/vjHP1JcXMySJUu48cYbKSoq4v3336exsZE5c+YQGBjIT6SKSHkAACAASURBVD/9RHV1NTExMTidTvLz87FarZhMJlpbW6mtrVUqxfr6ekWat729XWky9oNCdHrwCQOtHkEAyRSIFByLIIkItk5UYfGoIpNkCKGhDLWPH56TrkUKisRRWYjz7F50BjX+C5fjf+tD6KIT6DqfT+27f6L2zT/QtvNrHHXl6AL98Z0xh2G/epCIh39H4JIVGFLT+iVoh6WNuo9ewd5YS/CDf1ASNICzqQaX3YYUKPd6XN0dMu0W+qhfImnAbut1knYoSdqNS7uJA+611tbWRmBgILW1tURGRlJWVqZIObjdU8LCwhQ96fT0dA4dOnRVOYgrxa233opWq+XDDz9EEARWrlzJTz/9RFVVFcuXLyc7OxtJkpgxY8aQXm9IlfTf/vY3cnNzsdvt3HvvvQNKaIpqVR9MGvo6sgiCoEAe0rAwmSvdVK80EsSeJK0OH47oHYitNbsn+YoyFc/SjGAKkqeyLA1g8EcQRPku67SDpFaStDtpe3h40NjYqBhIurWl3eLh0FcNb+TIkUqF5Z5EzMvLIyMjo9/RPS0tja+//pqkpKR+QxteXl74+flRVlbWTznOPdLa0dHRj9LjvpNfKdyb98UXXxzs4+r7uQxSSVdXV/czmi0oKOCmm25SvncPBLjj6NGjJCUlKX97Y2MjtbW1ZGRk9Hmd9vZ2zp8/j9FoZNSoUYNCHyaTiaioKMxmM01NTZw9exZJkggMDCQoKAitVqvoBufn51NeXk5KSgp6vZ758+dz6NAhvv76a+bMmaMwUFatWsX69evp6upS/n4PDw8efvhh/vrXv2IymZgyZcqg1+6LL74gKiqKuXPnAvRxo+nq6qK8vJxz586xe/du3nzzTUJCQhgzZgxjxowhMTGRuXPnMmfOHAoLC8nJyeG7775j1KhRpKenM3fuXI4fP8769evx9/dnzJgxqNVqjh8/jsvlUiCtkpISxcygq6uL2tpafHx8EEVRuTG4pS/tdru8FtVqHAiIkg4RF6LKhWAMAATossgQVUgsLpeAy9yA4LKhjk3FJWlwNl7EVV+O2scfbcIYnHY79qpi7Md2IBp88BoxEtPsRbgkDbaLZViryrAc3oP1Yhm4XKiDwxHUPSfbnulgQZT/211ejD51Et6zl8iP9QrbhTw0MSmXTjjd7Qi6nmEPt/qlyymPijt6hrNECZxOREmtDIm54SwPDw86OjqUk6sbwhgxYgRmsxmz2UxiYiI//PADmZmZJCcnk5+fT1JSEj4+PgwfPpwjR46Qnp4+6Bppa2tT8oB7nUmSxBNPPMFjjz1GTEwMs2fPZvny5XzyySc8++yzLFy4kH//+99DNpe+apI+ePAg58+fZ8OGDTQ3N7N48eIBk7SgUvWrpFVGA7a2S00Gta8/tsZ6tMPCEDVaRJ0nDnMLKm9fJN9g7JUy2V3QeoKkxtXRiqA39eDSTWAKkhkfzd2y7rSk6gd5uJOSSqVCFEW0Wi2dnZ1KUvHx8aGkpKRPQgwODlZoYb11NYKDg6mqquL8+fOMGDGiz3szGo1ER0eTl5c3YCd4+PDhFBQUDCjvaTKZaG5u7pekr1ZJl5SUYDKZfpadVm9tk8ujurq6TzOwo6ODmpoapevc1tZGdXW1gk83NDRQWVnJ8uWybKXD4eDkyZMkJyf3ubnU1NRQWVlJVFTUkJsjbrMGo9FIZGQkFouFyspK6urqiIqKwtvbGz8/P9LT0ykpKeGnn35i9OjRBAUFMXnyZAICAvjhhx+YPHky8fHxBAUFcccdd7Bu3To6OjoUB2eTycTDDz/MK6+8gsFguCJ0VFxczH/+8x/eeuutAX+u0+lISEggISGBhQsXYrPZKCgo4Pjx46xbt46ysjJSUlKYPn06U6ZMYfjw4VgsFg4ePMj69esVbu6vf/1rKisrOXr0KLW1tYwePZqIiAiFTx4TE6M0o1taWhg2bBiiKFJdXY1arcbHx4euri66urrw8vLCbrfT1dWFSqVCq9X29AxUSJKI5HTIe8vDIHsxdrQgeOjBFIjLZsXVUouolpBGTpJ9nxsqcTZUojL6o5m2EJegwl5dQueuL3HZulGFROMRHo0hbSqCyR+nuRVb7UXldIvLKUMSPfLCXpNnoovqb2LhstuwFuehn33rpce62mUsumdtKK5MUg/cASBI8vtQaS71vnogDzcubTKZOHfuHJGRkdhsNjo7O5WeUWpqKh0dHTQ0NJCcnMyaNWuUtZ2RkcGePXuumKTdPY4ffviB1NRUNm3apMghgHzj/P3vf8+TTz5JdHQ048ePJzc3l++//54lS5YwduxYtm7devWNwRDgjvHjx/P6668DcmJyH60uD0Hdd5gFekSWetPw/PyxNlxiU6j8g7A3yBCH5BeCo/GSyIloCsTZLA+FCF69JEyFHkGa7p7hhl6QB8hshsEaiJIk4ePj0wfGcMtWlpeX9+vqJiUlUV5ejtncv6M9duxYzp49O+CxKCEhgYKCggETpJ+f34DaEw6HY1C3luLi4iHbwLtjMMpfbW1tH5fkkpISIiIiFDz6/PnzxMfHK9jryZMnGT16tLIQS0tLMRqNfRqPlZWV1NbW9jH87B0ulwur1aq42VRXV9PS0qKoxIH8eRgMBkaMGEFYWBgXLlzgzJkztLW1IYoisbGxpKWlkZ+fz/Hjx+nu7iYuLo758+dz7NgxduzYQXd3N76+vvzqV7/i3LlzfPnll8pATEhICPfffz+ffPIJW7duHfD6VFZWIknSkMWc3CevVatW8corr/DJJ58wbdo0tm7dyj333MN3332HSqVi1qxZPP/889x+++1UVFTw3HPPUVBQwOLFixUt8O+++w6z2cyMGTPQ6/Xs37+fpqYmhg8fjiiKnD9/HpfLhbe3N2azmdraWjQaDYIgKA7ngMIKsdvtir2XTdLhEFSydZWXn6wVImnlKT5TgDzVKAjQWovo4YE6cTLisDicrXU4ig4jurrxGDcdz2tuQgqLw1FfScfOzzF/9me6938LLVWIdKP21KDx90cbHoXH8BQ8R01AGxmP09KCraKArpPZdOzeiPmrN2n77CUkv2GIvsG4nA7sF05gLzmJ6CeLd7naW0AU5S97t9y/crmQ3X/77i/3YJvbUs/Dw6Pn/TsV6Cg8PJyampo++z48PJyWlhaFlTVhwoRB/UFff/11Wltb2bBhA6+++ipJSUk8++yzffJHREQE9913H3/5y1+wWCysXLmSgwcPcvjwYTIzM8nMzBzS2rpqJS1JkjJjnpWVNeDRH3p40pdj0sa++h2agCBsDb1srAKCsdXVoItNlKcO29tk6p1Gh+gbgqu5BsKG99z5rbisnQgaD3n6qLMNPE2XIA+HHVSXGohOp1Pp+EqSpNBy4FI13bty9fLywsfHh4qKij78RZ1OR3x8PKdOnWLy5Ml9Gk5eXl5ER0f3gwRAJrcLgqAYUPaOkJAQampq+l1Dt0LWlaKpqelnc32vxk/urVldVVXVh/9dUVGhVNp2u52KigrlyO9wOLhw4UKfU0RlZSWNjY2MHDlSSeTuxqG78dXd3Y0oiuh0OkVoqbOzk+bmZhwOBx4eHsqXTqfDz88PHx8fGhoaFN1mt9Z2ZmYmhYWFZGdnM3LkSMLCwrjxxhs5fPgwWVlZTJ8+ndDQUO666y727NnD+++/z6JFi4iLiyM2Npann36aNWvWUFBQwJ133tlnBN7t7PH8889z9913Dxk/dIeXlxczZ85k5syZFBYWsnHjRkU5cP78+cTFxREXF0dDQwNbt27l97//PVOnTmXOnDlkZGRw5MgRNm7cSHh4ONOnT+f/4+284+Oor7X/ndm+2qa60qp3WZaNG05oxlTT49CdEEIICQFuKB9ywxtySQJxCIGLSUJMEufehB6CIVTTDLgb2+BubEsu6r2spF1p+8z7x2h+2pVkYxK/7/mwH0nDesuUZ87vOc95zvDwMJs3b8ZutzNt2jRkWaahoYG0tDTB6+tUiNFoFLMXXS4X8XicUCgkCo2KJAEGDAYTBkVBMlnAPHajDQeQJcBbAgYTSigAwT5kkxFD1TxUyYA63I/S1Yg6OozRnY1p1llIaeko0TDKYC9Kfyfx0AhqKIgSDqKGglpGLRuQjCZNeZKRi7GgAsuMM5E92gRxZaCD2P5NSFYH5tO+jmx3oSbiJFr2IedPAyQY7AR3nrZCTMRBNgp6U5/OpNuAGo1GsZKUZVkkQBaLRdSl7HY74XAYWZbFRCfd/Ev3QZ9IQSYSCTZt2sTzzz8vkpwHH3yQe++9l1/84hc8+OCDAiMXLFhAQ0MDv/nNb3jwwQe56667WLZsGTab7YSv5RNWd3z44Ye88sorx5yqK5vNkzNpl4tYklbalOVl5MB4sc2YnUestwMASTZoxcO+Doy+MuT0PGJNWuFHkiQkZ5bGn2UWarz0UJfWfSgbximPMZDW5Xj6jtInOlgsFkGJ6KL3ZKvNwsJC9uzZQ05OTgoVUVJSQmtrK+3t7ZMaTWbNmsVrr73GzJkzUw6mJElUV1dz8ODBKUG6oaFh0j48EZD+okEAU8Wx6I6pQDrZmaulpUXosTs6OsjIyBA37Pb2dlwulzCcaW9vp6+vj9ra2hSA7unpIRwOCyWNbjCTHPpr6GAyOjrK8PAwiUSC9PR0PB4POTk5wp+hsbERi8VCaWkptbW1woi/tbWVmTNncvrpp1NUVMTatWspKyvj1FNP5bzzzqOiooJXX32VWbNmsXDhQjIzM/nRj37EW2+9xdKlS7n11ltTGnNOO+00fD4fP//5zwmFQifMIU6Mqqoq/uu//ovm5mZWrlzJLbfcwoIFCzjnnHOorq7mhhtu4NJLL+X999/n5z//ueCt77zzTnbu3Mkrr7xCdna24ND1RqFp06bh8XiEpj8/Px+TyURHRwdms1lQIbq002QyMTo6iqqqWK1WJMlEQgVJNmOQQVYSGsVgc2mFutCwBthZhWC0oIZHUQO9SEoEY3452NzasI/hPhIt+1AD/Uhp6cguD6bcIqQ0F5LdjZTm1iiPRAJ5jGdWE3FNEBANowx2k+g4hDLQganmdGRvCQBKcACl8xBSmhvZ40Ud6gKzHcnq0PjpRBysaSgJRQCwTnWGw+FJ5mt6JHfhJosLnE4ngUBANF/p7nrJq019/2dlZaUU3c1mM4899hh33XUXv/rVr/iv//ov8Z7f+c53hBvjd7/7XW6//XaWL1/O1VdffULnzwmpOzZs2MCf/vQn/vKXvxxzRJJsNE6ap2Zyp7aGm3O8xHqTbEKzfcR6xikOQ1Y+iT7NAF5ypKPGwqhhDbQkZxaq3i4uj5nPhHXKwzTW2KIdEP3gJPt5GAyGFAWH2+0mEomkbDOZTBQWFtLY2JgCbJIkMWPGDA4cODCpMcTlclFYWDhlK3hNTQ319fWTtus+sxND7zI7ViSPiP93Q1EUhoaGUly92traxE0oEAgQDofF3b6pqYmSscECqqpy9OhRAWj6+KCJAN3V1UU0GqWwsJCMjAzS0tKOW0A0Go04nU68Xi8lJSXk5+cLCWBfXx+KopCdnc3MmTNxu93s27eP9vZ2nE4nZ555Jnl5eWzatInDhw+Tn5/PVVddxcjICK+99hr9/f0UFxcLDvi5554jGAxiMBhYvHgxN9xwA0899RSbNm1K+UzFxcX8+te/5pVXXuHNN9/8t/Z5cXExP/rRj/jd735Heno6y5Yt4/vf/z4vvvgioVCI66+/nl/+8pcUFhby3HPPsXTpUoaHh7n55pupra3lnXfe4d133yUjI4OzzjqL4eFh0apcUFDA8PAwBw4cQJZlHA4Hg4ODdHV1CbrK7/cL2i4ejzM8PEw4HNaUIQpEVXlMd21MapQp1JpI1ASSGsPg8WIonI7kzNQoR387khrFmF+Bee5FGKtORc7woSpxEl2NxPatJ7LmeSIbXia2/R3Ca18g/MH/EvnoGSJb3yC2bx2Jxt1I1jQsZ16L7C1BDQ6QOPIpSut+5MwC5MLpmtojFAD3WMITi47VoWQhDNBnnup1KR0HdLDUs+pkkE42ZNNBWg+dHpkYGzZsmJKrtlqtPPHEEzQ1NfHoo4+mUKz33XcfmzZtYu3atZSXl3PzzTezdu3aEzpvvjCTDgQCPProozz99NNTGujoIVlMwjBJvLjLxciRccMSc7aXaF8SSOfkEe9NAunsfOItWuu4JEnIHi+KvxNDXjmSMxOl7YBQg2B1QXgY7G5t5xtMY5SHOSWb1g9QWloaQ0ND2Gw2kU1nZmbS29tLYWGhoAWys7Pp6emht7c35Q6anp5OTk4O9fX11NXVpXzP2bNn8/bbb1NXV5diPlRUVMTg4CDDw8MpS+m8vDw6OztTTiA4sUz6yxQNjxfBYBCLxSI+bzwep6urS2QHeuu7JEkoikJzc7PQjHd3dwtbSP25+pBW0ABa/375+fmTeHZVVYnFYkKRYDAYMBqN4qc+zMFqteLz+YhGo/j9fhobG3G5XKSnp+Pz+cjIyKCxsZH+/n5KS0spLS0VVfze3l5mzZrFeeedx6FDh1i1ahWnnHIKM2fO5IYbbmD9+vWsWLGCK6+8kpKSEmbOnMmPfvQjli9fTltbG1dffbW4oeTl5fHII4/wk5/8hEQiMeUosS8TOTk5XH/99Vx33XUcOnSINWvW8J//+Z/k5uZyzjnnsGDBAs4//3wOHz7Mhg0bePvtt5k+fTrnnXcedrudXbt2sXHjRkpKSpg7dy6RSIQtW7Zgt9upqKjAbDbT2NiILMvk5uaSSCRoa2vDZrPh8XhEE5PdbhdZp26mbzabGUt1MBhNyChIqgHJ6hrr+EtAJIAUC2nqC3cOyAbUUBB1sAt1xK9ZNdhcSJ4KDeitTqRETKMrTVYwW7Wi/4RzQg0OoHQdgUQUOacMKT1XozMVRfOU9uRqjpmqoik8rA7hgKkDr05x6P0RE68xmJxJ6zWliY1meoF/YmzcuJH77rtvymNrt9v5/e9/z+23384TTzzBPffcI4riDzzwAPfffz8FBQXCfOuZZ575wvPlCzPpd955B7/fz9133823vvUtvvWtb9HR0TH5hYwmEhN8iyfRHRlZxP1+YWlqcGeghEZQxrTThqx84r3jJjpyRh6KXwNxyWgGi33cFc/qgMgoqtBPalXfYxUQTSaTWO7p4XK5hKGNHpIkiQnbE7PmadOm0dHRMenump6eTm5u7qQxXLIsU1lZOSmbttlspKWlTdJgfxFI/yuZ9LHUHROpjp6eHtLT0wVHrxdT9P9ns9nEjebIkSOUl5cjSRLBYJBgMCgoHVVVhZZZVyLo2yORCENDQ/T19REMBsVwUV3/Ozo6it/vp6+vj4GBAdGMZDabRXYtSRLNzc10d3djNBqpqanB5/PR0NAgGhdOO+00srKy2LBhg6Bwvv71r9Pc3My7777LyMgICxcu5Gtf+xqvvvoqa9euJR6Pk5eXx09+8hM6Ojr4/e9/n3J8vF4vjzzyCKtWreK55577Qo/uEz02VVVV3HrrrTzzzDMsWbKE/fv3c8stt7B06VKi0Sg333wzDz/8MBUVFaxcuZI///nPWCwWfvCDH1BZWcm2bdtYt24dXq+X2tpaOjs7+eSTT5AkiYKCAiGFTNYMd3R0iERmeHgYv98vvG9GRkYYGRkRxca4IhGTjMQNFhTGBm5YnJp/hjtXk8eFA0iJCLInB0PZHAxFddrKNxZB6T6CcnADicYdqH0t2t9t+0m07CPRup9E2wESHfUkDm1FaT+AnFWIofoM5AyfBtCqAsNdYLYhWbVGHmLhsWRsfBC1Dsz6jVXPpCcW4/VMWj9+yXSHzknrofc0JEd3dzfd3d3HbShzOBz84Q9/4LPPPuPPf/6z2F5aWsodd9zB0qVLGRoaOuGGqi8E6euuu46NGzfy3HPPicdEbS2MNbNMpDs8nhT/DsloxJiRSXSseCjJMqYcH7FujeKQ3ZkQjaCExsZuZfhQ+sdvCJIrC3V4zNJUNmj2pXpjizy2jFbG3fAmaoTT0tIYHR0VNIgkSXi9Xnp6eiY9LyMjY1J7sdlsprq6WkzvSI7Zs2dPOd1Fl+JNjORZaMnvG4vFjimij8fjx52NeKyY6mQIBAIp1NXEAmdPT4/Iqjs7OwV3HwqFCAaDQtHR3d1Nbm6uuDgGBwdRFEUAtH7h9/f3MzIygtlsJiMjQ9Af+gBXp9NJeno6WVlZZGZmCnOswcFB/H4/oVAIg8FAdnY2paWlwnqyv7+f9PR0TjnlFCRJYvfu3bS3t1NWVsb8+fOFXC8ej3PZZZfh9Xr55z//yfbt2ykuLuZ73/se3d3dPPXUU9TX12O327nzzjuprKxk6dKlvPHGG0ItkZOTwyOPPEJTUxO33nora9asOWlt5kajkXnz5vHjH/+Yp59+mlNPPZXHHnuMX/7ylwwMDHDuuefywAMPcOutt9LW1sZDDz1ET08PN9xwAzfeeCORSITXX3+deDzORRddhNvtZvPmzfT29lJXVyeK5f39/Xi9XsxmM21tbSkjofr6+giFQiLBGR4eJhQKaTQCEFMgKplIGK2o0hh0mCzg8kJmEVi0xIlgP1I0iGyxYcguxlA+D0PRDKSMfCSPV/OKdqQj2Z1IljQkowXZW4ah+gwkVxaEA6hD3ah9TdDVoF3T7lyNx46MaIIOowVVVcU1oY+3stlsRCIRRkdHRZ+E3qU5MDCAy+VicHBQnPuBQEB8/2g0mnJ96dRJcrS1tVFaWvqFlgcul4vly5fz5ptvsnPnTrH9zDPP5IwzzmD58uX///2kDWYjyoTswpTuIepPvRNZcn1Eu8YHj5ryCol2aWAlSTKGnEIS3dqEbsmVhRoNoY5xz7JL60QUX87uhrE5iJIkaUL3+Phn0A9ecnZttVpTeF+bzYbD4ZgktSosLMTv90/y2SgqKkJRlEnDU7OysvB4PBw5ciRle0VFBa2trZOAt6SkZNJQVVmWBd0yVegT0b9MHOtEGB0dTZkMMZFKSR7z1dPTI6ifnp4esrOzxQ0wWXESiUQECOg3htHRUSKRCG63m4yMDGw22xee4Lqrmd4UZLfbiUQi9PX1CdVCdnY2xcXFxONxmpqaGBoaoqioiLq6OkKhELt37yYej3PGGWdQUlLC9u3b2b17N9OnT+fKK6/E7/fz8ssv09fXx7XXXsull17K6tWrefHFFxkcHOSyyy7jgQceoLe3l5/97Gfs2LFDtGg/8MAD3Hvvvbz55pvce++9U06Q+XfCbrdz0UUXsWLFCmpra/nxj3/M8uXL8fv9FBcXc8stt4j3/elPf8ru3bu54IILuOOOOzCZTDz77LO0tLRw4YUXkp+fz4YNG9i1a5dwGGxtbaWhoUFo7vv7+2ltbRXXx9DQEP39/SLb1ldAepdjQlGIJiCKkbjRhiIbAVWTyNndWpdjZjGkZWjJU3gYAr1IIT9SOIAUG0VKxJBQte5HswUpEYWew9DbqF3TsgGc2eCt1GSC8QjEQtpNwWzTBiREowJEdeA1GAx0dnaSlZWFJEl0dXWRn59PT08PVqsVl8tFS0uLsNxtbW0VdZje3t6UPomhoaFJFG+ySuyLIj09nW9/+9u8/PLLKdu//e1v09LSkjLk9nhx8lzwzObJhUOPh9iE5YLZ6yPSNZ4dm3ILiHWOZ5QGbxHxbg28JElCzhwvJmIby/z07NnqgFgENTFGSxhMmrWpMj7/cKpsOhwOp+gZs7KyhExMD6PRSMmY3eFEA6a6ujoOHDgwKWs+5ZRT2L17dwowms1mSkpKRMupHsXFxVNe3HpmP1X8KyB9rJgI0n6/X4B0NBpldHRUFBWTT95kwB4YGMDpdGI2m0WhMCsrS3DTemHW7XancPUwzkuHw2EhzdMlT7q3h75/LRaLABSDwcDQ0BB+v1/4BRcWFhKNRmlsbCQUClFeXk5FRQWdnZ3s378ft9vNwoULsdlsrFu3jp6eHs4991wWLlzIjh07WLVqFenp6dx2222Ulpbyv//7v3z44Yc4HA5uueUWbr75Zl5//XWWL18uKJC6ujoef/xxFi1axE9+8hOef/75E57+fKJhNpu56qqrWLFihWhrX7ZsGfv27SMvL48f/OAH3HXXXdTX13P//ffzwQcfcMopp/DDH/4Qj8fDs88+y8GDB1mwYAFz587l6NGjfPzxxxiNRqqrqxkcHGTXrl3EYjFyc3NRFIWmpibRDatPkBkeHhY31pGREQKBALFYTFAksYRCVDVogG2waMrlsSI+RgukZWqZdnYZZBVpRlDuHA3EbS7NyN/q1IA9p0IDZbtnvHElPKLRKhYHqmQgGo2KDFo/H3TJZk9PDxaLBZfLJWYL2my2FGBO/j25WD7RznZwcHDSuKxwOPyF1g3Jcckll7B58+YUbttsNnPvvfeecOHwJLrgmSfRHUaHAyUUSpHmWfJ8RDvHQdqcW0isa5yHNuYUiUwaQM4qQOnT/r8kSUhuL8rgWJOLJGvAnZJNm1Ky6YnueLIsi2GQyc/Jzs6eNAA1IyMDq9U6iYNPT08Xy8fk0ItkLS0tKdtramo4ePBgyjbdQ2Bipuv1eqfUUMPJBelQKDQpk9Y5aj2rliSJkZEREokETqeTRCJBf3+/AOlk8B4YGMBgMIiTWl8uu1yuSYZLetEQtBNWrxcYDAYMBoPIwhOJhADveDwuOGw9uw4Gg4JPzc3NpaCggNHRUZqamoSbodfrpaGhgaamJkpLSznjjDPo6+tj/fr1mM1mrrzySkpLS3n77bfZtm2bmBYeCAT4wx/+wN69e6mqquKBBx6gtLSUpUuX8v7774vPc9FFF/Hkk0/S2NjID3/4w0l1iZMRTqeTW265hT//+c+UlJTwhz/8ge9///u8/PLLpKWlcccdd/CjH/0IRVH4zW9+w1NPPYXNZuO2227D5/Pxyiuv8O6775Kens4FF1yAoih89NFH9PX1UVlZicPh4NChQ6Iw63A46O3tpa2tsRb1qwAAIABJREFUDVmWRXFNl1PqzoojIyPClU8H7LiiEFXQeGyjFcVk0/oYVEWTycajWtFvbGAHskHLjvXrNhLUKI14RKM5JFmrRRk07XM0GsVgMGA2az7yw8PDGI1GwbeHQiG8Xi+JREJk0aFQiIGBAXw+n5B35ubmEg6HRcu4qqonPZPWj90555zDW2+9lbK9srLymMXHiXES6Q7TJLpDm8DiTsmmzbk+It3JmXQh0a62cblKdgEJv2a2AmDILEDpH/cV1vSSSWBqc0NofCK41tsfSwFlICUbttvtIlvTw+l0YjQaU+54usHPVAZMNTU1HD16NKWAJEkSp5xyyqRJIFVVVRw5ciQle3e73Vgslkl+1jk5OSc9k56Kk56K7tBBOpnq0FUukiTh9/txOByYzWbC4bDwRkgkEvj9fkFzqKoqrBqTFR/J4KwrS/TVjizLAqSNRiMmkwmz2SyGCSuKIgBbVyLouu2RkRFx3Hw+H7m5uQwMDAh53qxZs7BYLOzdu1fMnauurmb37t3s2rWLsrIyrrnmGiKRCCtXrqS3t5fFixdz9dVXs3nzZp555hkGBwe59NJL+clPfsKBAwf41a9+JagtfRL5N7/5TR5++GH+9Kc/HXNSzL8THo+HK6+8kj/+8Y/ce++9dHV18YMf/IAHH3xQOBU+8sgjnH322WzatImf/exntLa2cvXVV7No0SI6Ozt55plnaG1t5dRTTxUmYVu2bMFqtVJWVkY4HObzzz8Xk04MBgPt7e2iq9FkMjEyMpIC2JIkMTo6ytDQEOFwWFxrqqoSTySIJlSiqkxcNpMw2lDMaagWhzYWzGgB2aQ9xhrVJJtTqzeZrKgGE/HEOLWhe9/oToCqquJ0OonFYvT29opaSHIW3dbWhs/nw2g0cvToUYqKipBlWWw3GAxCjqlfE6qqTplJn4gJ2sS48soree211yYlZCetcHiiIZlNJMYuwOQwZ6QTSwI+S24+0c5xPteQ5kC2WEn4xwqCJjOGdC+JMZWHZHMgma1i7qEmtFfGNdJmm9bNFNPAS5JkrVV8LJuWJGkSNy1JkhhgmbzN6/UyMDCQArwWi0W0JifvZIfDgdfrncRBl5aWCu5Uj7S0NHJzcyfNTyspKZlEeeTm5h43k/6yF//xOOlkT+rBwUFBd+jFODg21aEDuSzLoktLpzT0E15/fT0jhvHMOfkE1bMwVVVQFQVVSaAqcUFb6ZnTRMCOx+NYLBbS09OFxtzv9yPLMoWFhTidTtrb28XnrqurIxgMsnfvXoxGI2effTZ2u53169fT0tLC6aefzrnnnsv27dtZtWoVRqOR733ve9TW1vL000+zatUqTCYTd911FxdffLHoHdCP61lnncVTTz1FKBTitttuY+XKlSfcVv5lQpIkampquPPOO3nmmWc4/fTTee2117jpppv46KOPmDt3Lvfccw/3338/FouF3/3ud7z88svMnDmTe+65h/Lycj755BPee+89cnNzWbRoEZIksXHjRjGU2Ofz0dPTIyZg5+fnoygKra2t4matq5G6u7sJhULi2Oq+18PDw+K462CuqiqJREKjtmJxIrE4MUXVHnFtezIFpidS+rHXX1vnzN1uN9FolPb2djIzM7FYLAwMDIgsOhKJ0NzcTFFREfF4nPr6etFRfOTIEaFgam9vT8miBwcHhSQxOaLR6CTq7otixowZhMPhKQUEJxInzU/aMAXdAWDKyCA6MCD+NufkEvMPoEQjyGbtjmTOLybS1oQxQwMAQ24p8c5GjHnazpSzi0j0NCO7szXKw5Or6adtTu3A2z0wOqgBNmh358go6phmWtfd6t1IMA54ycsXk8lERkYGPT095OfnCyDxer1TGjBVVVWxfv16ysrKxN3VYDAI2d2pp54qnjtt2jQOHDiQYqZfWlo6qbW6sLBwkupDD91u8cuEGJAwIaLRaIq6IxgMioEDwWBQZNJDQ0OiNXxoaEg0sAwPDws1SDAYTKE5wuEwmZmZQmOtO5RNlEKRiEEswrj/gjTmx6B/XlX7z2DUlsWyUWTbiqII8E92OIzFYoyOjhIMBsU0meHhYaETLi4uJhKJ0NbWRnt7O/n5+RQWFopZi0VFRVx22WU0Nzezfv167HY7c+bM4bbbbmPr1q385S9/oaysjNNPP52HHnqIjRs38j//8z+kpaVx7rnnMm/ePO655x7q6+t5//33ueOOO6iqquK8887jtNNO+9JZ2BeFzWbjggsu4IILLuDo0aP89re/ZdOmTdx1111kZWWxePFirrjiCrZu3cqKFSuoqKjgyiuvZO7cuXR1dbFu3To2bdrEGWecwTXXXEN7ezufffYZRqORWbNmMWPGDFpbW9m1axfp6emUlZUhSRK9vb0MDw+TkZEhrgmd+rDb7aSlpWle14kEoVBIcMg6jzyR2tJDl9Ppv+sKjmAwKI61voqSZRm/34/f7ycrKwu73c6RI0cYHh4W3uOffPIJhYWFuFwuPvroI9xuN8XFxfT09LBnzx5uvfVWAFavXp3iirhx48Yp/aR146YvE1u3bsVkMk1ptnYicVI56UR4ikw6M5No/zhIS0YjZm8ekY5xHtpcUEq0bZzfNfpKiXeOZ52GnGKUnnElhJzhQ/V3pqo8QsMi85Jkw5hrlnYXPlY27XA4UrJp0PjmeDyeopfUtdMTDZhsNhv5+fmTprDonYbJFMu0adOor69PKTZWVFRM+rcFBQV0dXVNWYQ6Vqfi8eJYIK2PaQJN2heLxcTNKlmWlSzVCwQCuFwu4cfhdDpRFCWF3w6FQlitViG/099nEkDHwtpqx2IfW+K6kGxOJKsTyeoYezg1My3djjYyghoOak0RaiLF6U3/DgaDAY/HI8YoDQ4OYrVaKSkpwWaz0d7eTjAYFM0vPT09NDQ0kJeXx5lnnkk8Hmf9+vUkEgmuuOIKamtr2bx5M6tXr6a8vJw777yT/Px8/vGPf7By5UrKy8v55S9/yeWXX87WrVv5P//n//DGG2+Qk5MjMt3zzjuPjz76iBtvvJHf//737N+//4TlV18mysrKWLZsGbW1tfzwhz9k9erVQkZ22mmn8dBDD+H1elm6dCmvv/46Ho+H6667jm984xs0NzezfPlyent7+drXvsbMmTPZs2cPr7/+OqFQiDPOOIPs7Gx2797N/v37sdls1NbWCjtVvXkmLy8Pm81GIBCgtbWVvr4+VFUVmbdeIxodHWVwcFC4+w0PD4uCcH9/P/39/WJosW6s5fF4hE2r3++nqamJkZERUQTcu3cvsiwzc+ZM0tLS+PTTT0lPT6eqqopt27YJfTzAW2+9xcKFC3G5XDQ1NdHa2sqZZ54p9uXq1au54IILJu3j9PT0KRtcjhXxeJxly5Zx9913H9eG+Hhx8gbRWs1EjwHSsQlNG9aCIsJtLdhKtKzMXFCmTX/QP5S3mNG+DtR4DMloQkr3ooZHUEYDyHbtIsZkRg0OIDkzkQwmVItdM11KG2vQMJohFkJNsjDV/aZ1cErm2JIHn3q9Xjo6OlLamB0Oh9BOJxswVVRUsG7dOsrKysTyPiMjA6fTSUtLi2ildrlcZGZm0tjYKCaGFBcX09XVRTgcTsnmvV4v7e3t4t/q4fP5Jkn/vihOBKRDoZDoxITJIK0DnqqqWCwWRkdHRbEvGAwKPw4dsHXaZCrfBFVRIDqqybUsaV/Iy0myDLIZMI/bXybiWgauhsFo0oyCDGaRdelNDW63m3g8zujoKCMjI9jtdmGD2tXVhdlspqysjFgslpJZl5eX09jYyIYNG/D5fFx22WV0d3ezY8cOFEVh1qxZ/Md//Aeff/457777LhaLhQULFnDXXXfR1dXFmjVrePDBB5kxYwYXX3wxCxcuZOHChfT19bFmzRp+97vfYTabueaaazjjjDO+9Jix44XRaGTJkiXMnz+fJ554gs2bN3PHHXeQlZWFxWLhiiuu4Mwzz+S1117jZz/7GYsWLeK0007juuuuo7OzMyWzvvjiixkaGuLzzz9n5cqVlJaWMnPmTOLxOG1tbezfv5/s7Gzy8/Ox2Wz09fXx+eefi85GfcizboGrG/PrNEIyRZZ8nurZtP5QFIWRkRF6e3sZGRnBaDTicDjIzc3FZDIJCqasrAyPx0M0GmXXrl1YrVahxGpqauJrX/saRqORbdu2IUmSyJTffvttLrroIvFZ9Gx8quEaGRkZDCQxA18Ur7zyCunp6Zxzzjn/+jH9l//lhDCYLShTcdKZGUS6UpfolvwiIm3jmbG5oIRoe/P4JGGTRTNb6mnB6Csf008XofQ0IZdonT5yug/V3wFObVlOWoZmumT3aAfXYESNy2KiOGgncCQSwWAwCOBwOBwMDAxgtVoFFaI3V/T29qbYcBYWFrJ7926ys7MFqFutVrFcTu5C0umNZKCdNm0aBw8eFCCte4U0NTWl+FXr8ryJIJ2fn///JJOeOIBAB2m9uKo3BegNJsnZdTKg67ykXv3XaQ79/TVTnRCYzGBI2q6qWqYci4xl2GM/FUWr/OsFJpMFjBbNtc1k0VZOiZjWQCHLSAbtxqHznvqx1jP+kZERwcUXFxcTCASEL3NJSQnxeJz29nba29vx+XyUlZXR1NTEhg0byMvLY9GiRfT397Nz5062b9/OrFmzuPXWW6mvr+ejjz4S/sNLlixh8eLFrFu3jmXLllFWVsYll1xCSUkJ11xzDVdddRWfffYZL7/8Ms8++yxXXXUV559//pfmOo8X5eXlPPHEE7z00kvcfvvtfOUrX+Hyyy+nqqqKjIwMvvvd79LY2Mjq1at56623mDNnDmeffTbXX389nZ2drF+/nrVr11JbW8ucOXOYP3++oHCcTidVVVVUV1czMDDAkSNHGBkZIS8vj7KyMiGLO3r0KIlEArfbjdvtxuFwCH1zOBwW9Ii+0hXnQtK5Cwh3xLS0NLKyskSH6vDwMPX19TgcDjFYoq2tjQMHDuDz+Zg2bRqtra1s376dr33ta1itVvr7+1m3bh033XST6F5taWkRtAeMZ9FT2QafKEjH43FWrFjBm2++yfLly0+4SDhVnLxM2mKeunCYmUng89ShrdbCYgY3fiz+NtgdGBwuYr2dmL1aZ5sxr5R4x1GMPi3blnNKSDTvgzGQljy5KF1Hxs3/zXatZTUS1DSXoF3YsbDIppNpD33pYTAYcDgcDA8Pk56eLnZmVlaW0IzqS3mj0UhRURGNjY3U1dWJ51ZUVLBmzRrKy8vFc8vKyvjkk09SuN7KykpeeOGFFOAsLy/n8OHDk0B6YqMLaD7Uup77RAfRHo+T1veBnmXqoa8sdDCeCMyBQAC32y1kWPn5+aiqKjTRMO6NLcZ3xaPaw2wTvg1qNASBXlH01YDYqlEcjkxNfhWLQDysaeMDfZpyx2jWnqNrbI0WDeTjMYiFkQwmjEaz6JzTlQEOh+b1MDo6ysDAgADrYDAo2sz1BplksC4tLaWpqYmNGzeSm5vLeeedx/DwcApY33LLLRw5ckSAmz595dxzz2Xjxo388Y9/JC8vj0suuYTKykrmz5/P/Pnz2bdvHytXruTFF19k8eLFXHzxxSnH4t8Jk8nEt771LRYvXswHH3zAI488gtvt5vLLL+ess86itLSU73//+wwNDYnP6HK5WLhwIV//+tcJh8Ps2rWLV199FZPJxOzZs1m8eDE9PT0cOnSITz75RKw8srKy6O7uZu/evUSjUbKzs8nJycHpdIr93dTUJArKdrsdu91ORkZGykSV5HNV/z1ZzdHZ2UkgEBDnbFFRERkZGYyMjIj3PvXUU/F4PPT19bF27VoWLVqEy+UiHA7z97//nfPOO0/w6G+//TaLFi0SN8hoNMq6dev47W9/O+U+1VvFp/IE0aOrq4uf/vSnWK1WXnjhBVHf+Vfj5IG02UwiNFkeZs7MJDKhwm3JLyLcmgpC5sIyoq1HxkHaV0b4s9WAxgvJWQXE9q4RftOSyaKN1Rrq1tpNJQk1LROC/eMgLVrFtfFagKA8kq1MdWlbMrcqy3LKXDT9gGRlZdHT0yPaoSG1YUVfIhmNRsrLyzl48KBYVuldUMkt2BUVFZNE7cXFxXz44YeT9/EY59fW1pZiKXq8OBZIJ7eY6zwyaBRFOBwWy1f9BpNMCenArDc0mM1mkbXqmWzyjVDTxsbAmqapbwA1FoaBVnDlgCcPZOPU2YbRDIwXOFVF0TLtsObABggTH61wPHZDGMuuDUazpuFXFFFP0AFC18/qI9T08VSyLOPz+ZAkiY6ODlH5P/300+no6GDTpk2kp6czb948VFVl586dfPbZZ6Io5/f72bBhA++//z7Tp09nxowZLFiwgK1bt/Lss8+KpfasWbOYPn06dXV1HD16lJUrV3LjjTcKC9bp06czbdq0YzpPnmg4nU6uuuoqFi9ezPvvv8/jjz+OLMuCn3W73Vx66aVcfPHF7N27l48//pi1a9dy9913s2DBAs466yyamprYuXMnGzdu5NJLL+XCCy8UDUQHDx5kcHCQefPmcfbZZxMKhejt7aWjo4OBgQGys7MpKSmhsrJSNEqFQiEGBwfp6OgQ5vx6IqUX+vWH3hSVlpaGy+WioKAAh8OBwWAgHA4LN8SKigpKS0tFr8K6des466yz8Hq9osO0oqKCOXPmAFpxsK2tje9973tiX73yyitUVVVNshfWQ191PfDAA/zwhz9MWWmrqspbb73F73//e77xjW9w0003HRPId+/ePclx8Vhx8ugOq2XKwqElJ4foBC2wJS+f2EA/SjiMPAYOltIqIk2HcMzTZuUZvMUkhvpQQiPItjQkgxE5q5BEdyPGwmkASJkFKD2NyBljntA2FwR6USOjSBa7Btwmi9aVOAYCkiRhMplEM4K+zel04vf7hdQHEBl2cuuzXkTcv38/WVlZAuhKS0tZs2YNlZWVAuhramr44IMPmDt3rngf3csjGaT/+te/ptw0Kisr+dOf/jTlfi4vL+fIkSNfCqSnOlGSt+u0BIyDt35x6GoEfdKJbpRktVoZHR0VHt3RaFQ8V88yZHnMwSweTQVoJQ4DbeDORbK5pvxsjAyihgOakY7RPJZlmzUwN9vAbEN1ZmlZeDiguaSpigbWNreWaSsJiEeRFEVzdDOaUNGyfEVRsFqtwutBL055vV5h46qrVPTxVfrSeu7cuYyOjtLQ0EA0GqW8vJy5c+fS0tLC+++/j81m46tf/Soej4f6+npeffVVdLvbu+++W2Thf/nLX4jFYsyaNYtZs2Zx7733ijFc+/fv54033uDRRx8lOzub2tpaamtrqaqqmtJZ8ESiqamJl19+mW9/+9tTTgWRZVk4Ba5cuZJf/vKX3HjjjUybNk0UWtva2vjnP//Jjh07OPfcc6murqa6upqenh4++eQT9u7dy/Tp0ykvL6e4uJhoNEpbWxu7du0SzpPp6elkZGSIG6E+8kt3tBuXZKqCx3Y4HGJVplvjDgwM0NnZSUFBAQsXLsRisdDZ2cmOHTsYHh7m/PPPJy8vj0OHDvHGG29w1llnCSXV5s2bRVu/fu5v3ryZ9957jyeeeOK4+/Hpp5/m6aef5hvf+AbXXXcdN954I0NDQzz88MP09fWxfPnyY05QisViPPfcc6xdu5YlS5ac0HE7iSBtRZkqk87JJtLbl1oYMBiw+AoIt7dgL9ckaZaSKgLrx6c4SwYjRl8Z8bYGzJWztffILSPRsh90kHZlQ/tB1NFhJLtLA2VHljao1qJVfJGNIEVTuOmpJHnJXUsej0d81pycHJqbm3E6nQKE9GVae3u7kKdNlU3rxZqOjg5hUFRdXc2HH34oBrfqBcmWlhZRkMzOziYej09pTVpZWcmhQ4e46KKLTui4HGtZpruHQWpWncxVTwRpi8UiTGhkWU75/7FYTNycUpzHEjEwGMcBWlVhoEMoOpJDjUdR/Z0o/WMaeUc6xKMo8ajmHxyPaJp4o1lTfzgzkRwZmseDM3ushXhYy7AlSQNru1ujTeIxpOioNvTYaEY1mkkkEqKQbLFYBFjEYjExU3F4eJju7m5sNhtVVVWEw2Hhk11aWorVaqWzs5OdO3fi8Xg455xziMfjNDQ0sG3bNgoLC4W16eeff84zzzyDy+VixowZXHjhhQSDQXbt2sVrr70mzJDmzJnD1VdfzTe+8Q0SiQSNjY3s37+fTz/9lBdffJGhoSEx2aWyspLKykry8vKOy3t+8sknPPnkk9xxxx1ikMOxQpIkrr32WqEPnzlzJldddRVWq5WCggJuv/12duzYwYsvvkhRURHnnHMOOTk5XHHFFbS2tnLw4EG2bt1KSUkJ1dXVAuCHhoaEhlnvzNTNtvTMOLnIr9/oQ6EQR48exe/3C1c6vet3wYIF2Gw2Ojo62LFjB4FAgNmzZ1NVVYUkSaxdu5YdO3Zw7bXXChXIli1beP3117nnnntEslRfX8+TTz7JQw899IX0hN1u5/bbb+frX/86Tz75JAsWLMBkMvGd73yHm2666Zi1hZaWFh577DFycnJ48sknpxzJN1Wc1Ew6PgVIG6xWDDYbscFBzEnWmNaCYiJtzQKkTdl5KOEQ8SE/Rrf2PFNhNfHWegHScnYRsc83oIaCWpOLJCFnFqD0t2KwT9de2O6GYK8YtSVJEqrRAtHQJG5abzHVT27dyEdf7oMG3pmZmXR3d6f4ThcUFLBnzx5yc3MFUE2VTevTWXSQLioqEsZNuvVnVVUVhw4dEiAtSZKQ500ccltRUcHrr79+wsclkUhMefEmZ9InAtK6Z0HyNl0Tqw9Y0AuGur+vpoWOavUCPQJjqypXjvgcjPhR+ttQh/uQ3NkYCmohzTP1507ENUva0DBqYAClrwWUxBhgZyI5M8CRpZnxjA5BT6NWcLS7NYtNVRHZtdFowmAyoqjj+0nnrcPhMIFAALPZLJoiBgcHhaWpyWSir6+Pzs5O3G438+bNEy3pIyMjFBQUMHv2bDo7O/n0008JhUJUVVVx8803MzAwwN69e1m7di2FhYXMnDmT8847j5GREXbt2sXHH3/M008/zfTp05k7dy51dXVUVFRwxRVXAJoe+fDhwxw6dIgNGzbwt7/9jWAwiM/nw+fzkZeXl/L7xx9/zJtvvsmDDz54wisw0PxJfv7zn/OPf/yDhx56iO985zti5uX8+fOZNWsW27Zt429/+xtVVVWcffbZFBUVUVRURCgUEp9PVVWqq6upqKigrKyMsrIyURvw+/0CuPXzSD+H9IfesOTz+Zg+fbqgRnRb3B07djAyMsLs2bOprKwUwP7Pf/6TaDTK97//fVG0fPfdd1m3bh133323cHns6upi6dKl3H333V9q/+Tl5fHwww9z2223YTQaUya1pJyzYzTI3//+d2666SYuvPBCUec5kTiJEjwLiWN0w1lycoh096SAtKWwOIWXlmQZS0kVkaYGjKd8RftwBVWEtr4rxmRJBiMGbymJzsMYyzQDeikjH6V+E6qvCmkMhFVHplZkytS6iSSDUWuIiEe0QhOIu3XyUl+nPQYHB4VKATTOTtdx6r38usdxa2urUGuYzWaKi4s5fPgwM2fOBDRQ/fTTTwW4GQwGKioqaGhoEFx1VVUVW7ZsSZnCXlFRwaFDhyaBtJ5Jn2ioqjqlxOtEM2mdh9Y/v96JBRpIezyeFIpEBztJGptBh6Tp1gE1NKzJJLM1X2g1HCTRtAvQbrZy/jQk4/EVDtqEeKM29dqj8YFqZBQ12I863IvSUQ9mG7LHi+TJ1SZ5hIMaYA91a3SI3aPdOJQYUjSEQZaRZROqPN4kY7FYsNlsRKNRYdepN+gEAgH8fj92u53q6mpGR0dpb28nkUhQXFyM3W6ns7OT7du343A4mD9/PhaLhcOHD/P222/jdrupqanh/PPPp7GxkT179rBq1SpqamqYOXMmZ599tsiw169fzzPPPENtbS1z585lxowZuFwu5syZI7hV0Iq5HR0ddHZ20tHRwZ49e3jvvffo7OzE6/WybNmyLz0fE7TE5Tvf+Q67du1ixYoVnHrqqSxevBiz2YzZbObMM89k3rx5bN68mRUrVjB9+nRmz55NXl4eM2fOZMaMGfT09HDw4EFeffVVjEYj2dnZZGVlkZ2dTXZ29qSRdMeKaDTKwMAAR48eFTrqRCLB7NmzqaioEKu7nTt38sknn1BbW8v555+PwWAgEAjw17/+lWg0yv333y+u40AgwC9+8QuuueYavvKVr3zp/QOkzAWdGAMDA/z2t78lEAjw3//93yJZC4fDkzx+jhUnL5O2aIXDqQpVlpxsoj09UDPO01gLS+h/P9V0xFJSRaSxnrQxkJbtTgyuDBLdzRjztG4dQ34Vsc83YCjV/IMlk0UzGB/oRMoeozjsHgj0o8bC2iQI0LKp8AiqwaxpbxmX5CXzwSaTCZvNltJFp2un29racDgcAtDy8vLYvXt3igyttLSUtWvXUlNTg9lsTpHoTZ+uZfvV1dXs2rVLgHRlZSXPP/98CjVRUVExZfHQ5/MRCAQmTXs5ViSDcXJM5KR1YE7+XVeA6E1A+v6yWDQvX52H1j2I9fcTN4VEVFBMaiwMQ12QWYQkG1HjURKNO5FzSkXhV3y2RJxE0x6U/g5NZqcooI79VBKaVNNiQ/bkILtzkNw5SBkFyJmFWmt50I862I1yaAuYbMieXCR3DhjzIDQEQ51ak6PdrdUxkJASUaR4BHlCdm0wGMRwCL1d2Wq14na7ReFRVVXy8/MxGAz09/fT0dGB2+1m7ty5hMNh2traGBwcJD8/n0suuYTh4WEaGhrYsmULJSUlnH322TidTg4cOMCHH35IMBikrq6OmpoazjjjDEKhELt27WLz5s0899xzVFdXM3v2bMrLy4WvitPpFPzw/4uYNWsW5eXl/P3vf+fnP/85N9xwgzifrVYr5557Ll/5ylfYunUrr7zyCgDTp0/nq1/9Kl6vF6/Xy4IFCwgEAqKJO10tAAAgAElEQVRJZffu3fT29goL0eROxGQvl9HRUeFHnp6eTmZmJtnZ2dTU1Ajb3NHRUTZv3syOHTsoKyvj2muvFYB49OjRlBuMfn5GIhF+/etfM3v2bLFKOZmxe/duHnvsMRYtWsSSJUvENdLS0sKKFSsE/fJFcdJAWjIYkE1GlHAEgy3VJcqS6yU8wY/CWlxKuPloCqhby6rp+3Rt6gcsmkas6YAAacnj1S7UoR7td0DOLCTR+jlSVuFYFidr2fRw73g2LcmadCsWRjWPV5InFhFB89oYGBhIaTKxWCy43W56enrE0AOj0YjP56OtrU1cHBaLhZycHNra2kQbaHV1NZ999pk4qSsqKnjzzTcF4Ok60uTml8rKSp566qlJNz192ktyJn68OBYnnaxHTX5O8g1LB2z9pyRJQjedLLFLJBIC2FOpjrhYuRDoA0emuGkqPU1IzkzkzNQsSo2MEt3xAZLFrt2IRUu4rP2UZG2EUjiIMthDorcF9fB21FgY2ZWN5M5CzshH9lVBQc0YYHehHN6mjXXy5CK5c0GWNCuB3kbtM9pcmmm9mtCya0lCNujZtZpSaNRbz/XsGhC+IRaLhfLyciKRCJ2dnWJOZFFREUNDQ+zZswdFUSgoKGD69On09fXx2WefMTg4SEFBAeeeey5Wq5WGhgbeffdd4SFdVlbGkiVLSEtLY8+ePezdu1ecQ6WlpRQXF1NQUIDP5yMnJ+ekNsjooRdEP/vsM+HNnRx6a/w555xDV1cX27Zt44UXXuDb3/62KDC7XC5cLpewF9DNuAKBgFjF6A/97+zsbObMmYPH45lyFNv27dtZs2YNNTU1fO973xO+M6qqsmbNGlatWsW3vvUtMf4NNFvSX/3qV/h8Pm655Zbjfu/6+np++9vfUlpayo9//OMT2ldHjhzhkUce4b777kt53127dvHss89y/fXX4/P5ePzxx7/wtU4aSAMY0uzER0OTQNqa5yM8we7TlJGFqiSI+/sxZWjLMFNeEcroCHF/H8b0sW2ldYy8+1esX70YSdKA1FA4jXjLAcxjIE2aBwxG1OFeLWPSt40MCKWH9m3Nmg3iBElecgEJECfT0NBQiudERkYGzc3NKdpnr9crtJu6VKqkpISdO3eKCSL5+fmsW7dOFAItFgtFRUUcOXKE2tpaAGpra9m/f78AaV3HOXHWImiqkQMHDpwQSCeDbnLogzv17ztVm7KebSdnx8ljifRtOsjrFXlJkjTuV79hKgltv3s0zk6Nx1AH2jFUfTXl/ZThPqI7PsBYUI2hfM5xC2GSzYGcniR/ioZQhvpQh3qIH92JuutD5Iw85OwiDNlFUFALI4Mog10oRz4Fk1UD7IwCMRmb4R6tTd3m1ppmlDhSNIIsGzEYjChJQ0917joajRKJRESnaHLTTHp6upB39vf3Ew6HKSwsFIMnGhsbGR0dpbi4mJkzZxIOhzly5AgdHR14PB7mzp1LVlYWgUCAxsZGtmzZQjQaFc+//PLLsVqtNDU10dLSwpYtW+jo6BD2m/n5+cIVMDMzU1i8fpnGCt2U6NNPP2X37t3k5uZy/fXXi8L3lMdGksjLy+OKK67g7bffZuXKlSxZsmTK81CSJDwez3Hnp04VqqrS2trKBx98gCRJ3HDDDSlyuEgkwnPPPUdHRwf33XdfyjV04MABfv3rX3PZZZdxzTXXHHN/9Pb2iuHE55xzDvv375/yeRPD7/ezdOlSbr/9dgHQqqry4Ycfsnr1au68805KSkpoa2v7glfS4qSCtNFuIzEagszUOXzWfB/De/embJMkCVtpJaGjhwVIS7KMtWI64cOf4zhVkwgZPNlI1jQSXc3CcMmQX018/UvjmmlJQs4pQek+qo3m0cHBmQ3DPahZxeM8qcmqtYsn6XJNJtOkTkS94q83bkCqdtput4tMMj8/n9bWVgG4Ho8Hk8kk9NCyLFNVVUVDQwNf/aoGTFVVVdTX16eA9Hvvvccll1wi9o8u15sKpLds2XJCx+R4IK37iBzrJE2ewpxs+Zo8jTl5mw7QGh+dGNeph4a1FnCdm+5v0Y6TebwhJ9HdRGzfeky1Z2DIK5/y86jxGImBLm0IRCKO7PAgpbmR09xIdgeG7ELILsRYMRc1GkbpbyPR20L80GcaPZJdiCG7GCmvEkaHtAz7UCNY0sYAu1CjaEYGtcKj1ak9ZCOSEsOgJDAYjKhGIwl1fPJ0Mv2je6Do/tsjIyOEQiExP1Ifqjs6Okpubq4YQtHb2ytmWFZWVgo9/fbt2wkGg+Tn57No0SLcbjd9fX00Nzezfft2AoGAKNbNnj0bn88nvJTb29uFrntgYEA48umAnZmZKWZM6uZH+kOWZRoaGti5cyfZ2dnMmzePK6644ksNQpYkiUsvvZR//OMfvPnmmyxevPjf6rwDDTj37dvH3r17kSSJM888k1mzZqW8bn19PS+++CIlJSXcd999ooaiqirvvPMOL7zwAnffffekeo8eoVCI5557jpdeeonFixfz6quvEolEuPbaa7/w88ViMZYuXcr5558vJoonEgleeuklDh06xH333UdmZiYNDQ1s3rz5hL7zSQZpO/EpBqlafT7C7ZOH19rKKgg1HsY1bzyjslZOJ3RwtwBp0LLpWOM+AdKS2ao543Ucwqh3ILq90H0ENdCnSfNAW8IG+7XC0dhUF8lgRE2kFhF12mNiG7NOeyQrGtLS0kSbtJ7tZmdniwG1brc2vbxkbDyWLvGpqqrirbfeYv78+ciyTHV1tZiRp4P4ihUrUjocdZCeOD5+2rRpPP300yd0TI5Fd+hKDP37HyuT1ouBE+mQiduSQXrsjUHSQXpI6yBE45uVvlYM5aeK90g07ibe/DnmeRchu3XVh4Iy0E2ir51Ebxvxvg6UwV5kdxaGLB+SyUy8pwU1OIQSHNRu2Gku5DQ3hoxcDDmFGHMKMeWWAyrqUB+J3hZiBzejhoLawNPsIuSqr0JYm3StdB/WANvtRfLkaXRNsG+sEWcMsCUDUiKGUVHAYEQxaPx1MmDrrc86NaR7iOiA7Xa7yc3NJRqNMjg4KOofhYWFxONx+vv7xfDfuro6McW6tbWVrVu3YrfbKSgoYNasWTidTjo6Omhubub9998XVgbJwK0rlZK7Lfv6+ujv7xeNJfokHN37JB6PU1RUxP333/8vFRz1kGWZq6++mmeffZY333yTuro6fD7fCXfMgua+uG/fPvbt28fIyAjTp0/n6quvniQ79Pv9rFy5kqNHj3LNNdcwZ874aiwUCvGHP/yB5uZmHnvsMcFXJ4eiKKxatYqnnnqK2bNn8/zzzwtq0+FwEI/Hj1sLUlWVJ598kszMTKGBDoVCrFixAoD77rsPq9XKli1b2LRp05Ra9ani5NIddhvxkckgbcvX6I6J/KqttAL/2g9Sn1tZx+Cql1ATCSS9mFc2g5G3VmD96iUiGzMW1RLbtw5Dcd14p1JOuZZNO7PGMzpXDgx3o1od4+8tiogm8XpT0R6yLON0OoUUS//32dnZNDU14Xa7BR2iW4y6XJpe2+fzceDAAVFU1J3ZWltbKS4uxuVy4fF4xN8Wi4WysjLq6+uZPVuTHFZVVfH3v/990v4sLS2lu7s7hXY5Vhwrk5YkKYXumGqganImPZHuSJbc6bRIitxPTYDBoik8YhGN7wXUgXakNA+SNQ1VUYjtW4ca9GM5bTGSVSu+qtEwo2teRhnqxeAtxpCVj61qLoaM3GOqP9R4DGV0GDXgJ9HfSazpc8Lb3gNVxZCtAbYhpxBz2SyIhUn0tJDoPIzy+QYkVxaGnCKkktlISgJ1qBtljKuW3V4kZ45GiQR6xwHb4gBJQo5HkFUVVdYybEXV9qfFYsFqtU4CbJfLJVzgRkdHcTqd5OTkEI/HGRoaYmhoCLvdzowZM5AkbdBCfX09sViMnJwcwQPr6pGBgQExlWb+/PmkpaXR3t4uZui9+uqruN1uCgoKKCwspLCwUPz+/ytMJhNLlixh06ZNbNiwgc7OThwOh5AJ5ufn43A4xPcfGhoSaqqhoSFGRkaoqanhwgsvTOn+1SMWi7F69WpWr17NwoULBQeuR0tLCw8//DDTpk3j8ccfn9IuNhgM8rOf/Yze3l4effTRSdPAJUmisLCQlpYW6urqpvye//znP2lqauLRRx9FlmXC4TDLli2juLiYJUuWIEkS77zzDs3NzXz3u98lGAye0P47uZl0mp3EFJm00elEMhiIDw1hSuKebKUVdPwttThmcHkweDKIth7FUlI5ti0TKc1NorMRY74md5M8XpBklIFODJm+8W0Ts2lLmtbQMjooHPIkSR7rRAyjmsc5uqloD4vFQjgcFtacoBUM09PT6e/vF9rIzMxM2tvbGRwcJD09HYPBQGFhIc3NzYLSqKys5PDhw6IBpqqqioMHD4q/6+rq2LdvXwpI6xNdkqcYG41G4Vk9d+7c4x6Tf5eT1gF8It2h24Lqf+uvIV5LGaM7wgHNr2Nsu9LbjKFEa/ZJtNejhgKY518uwFeNhgm+tQJjbgn2C74pbqJfFJLRhMGVCa5MjPkVWMY+vxocJN7bRqKnhdi290gM9WHMLcFYUImx8lRMaW6U/g6UnibiTW8jmazIOcXI+bXaqmu4F6V5t0Z5eLzIjiyNbw/2j3VSOsDqQJIlTR2iA7bh+ICdTImEQiFGRkawWq1kZGSgKAqBQIDBwUGMRiNlZWWYzWZGRkZobm4WtMj06dNxOp0Eg0Ha29vZt28f8XhcFA9rampSBs02Njayfv16wuEwBQUFeL1eMjIycLlcOJ1OXC4XVqv136Ykpgq73S6sPxVFoa+vT7Tc7927V6ww3G43LpeLvLw8ampqxADj5PM/Ofx+P48//jh5eXncf//9KX7voCksHnnkEW6++eYprUdBo1B+8IMfMHfuXH7zm98csxmlqKiI1tbWKUF69+7dvPHGGyxbtgyr1YqqqkLB8c1vfhOAl156CUVR+O53v0sikaChoeGE9t3JBWlH2pSZNICtqJBQa2sKSJuytKVtrLcbc8446W+rOYXQwV0CpAHMFbOIHt41DtKShKG4jkTT7nGQliTk3AqUzsOp2bTbC/0tqFanMPfBYNKyoqROxGPRHk6nk/7+fqxWqziA+oxDXQGi32lbW1tFx2JRURGbNm2iuroag8FAaWkp27ZtE2qJ6upqXnnlFRYtWgRokqWPP/5YgF1aWho5OTk0NTUJLbYetbW1HDhw4F8Gad1oSv9d56cnctU6eE/1MxmY9W3JWY7GTce0lm7QHPAAya5x/EpPM8biuv9L3HmHx1GYW/83M9u7VqverW7JvRsbA6ZjQ0wn9JBAYm7IhSQk4eZeUi5wE5IQIHEoCaGG3sGEYgMuuBs32ZbVLFm9rqTd1fb5/hjNaFfFON/Hfb73efxgdmRtmz37znnPe05Sdxw6sBkpNQvT0tWTgkU8NMLgxncJn2iccEwtyZmCITMXfWYe+sxc9EXVGKYpnVE8GCDaVk+0rY7Q/s+VzdbcMnQ5JRhKF0LAS6y7mejBz5CjEaT0AoS0IkSzFXm4l9iJGuU5ONMRbamKSsQ/oKynG63KJqUAQjSMKMcUwBYl4ijnoirLVMMQVGVMWlqaBuKB0UYnKytL0/729vYSCAQ0AFO78fb2dvx+Py6Xizlz5mAwGLQlkbq6OgYGBjSgmzZtGvPnz9fSS7q7uzlx4gRDQ0OarDMWi2kKDLPZjNFoTPpjMpmSnQ0TVrhhzPtlsj9qmk4kEtEolUgkQjwe1zYW/xXOG+DQoUMUFBQk+W+oJcsyTz/9NLfffnuSV3RijYyMcNddd3Heeedx6623nvS+7Hb7lIb/Gzdu5Morr9Soobq6Orq7u7n99tsRBIF9+/bh9/v51re+hSAIfPDBB6fsKf61g3RkePInYc7PJ3C8GUfCZYQgCFjLq/DX1iSDdOUc+l59Etf5V2i36YtnEfxyozYsBJCyS4nW7yE+3Ic4alkqONOh5zjyQAeCexS89SYlvWWoS0kiHr1vWW9SElxEnaadnor2UF3hVKc81Yegt7dXE+OnpKTQ1tZGf3+/NpRxOp2av4DZbCYtLY2WlhaKi4vJzMwkEoloUVRZWVnE4/Ek8yZ1Y3E8SJ/q8HB8F66WwWDQggVUgyRAkySqr4XqzfxVXXdSybKylg1jHTUgB32KFzijnPNAJ/rqMZVA3D9I+OhObN+4fQJAy7JM4OBOvO+/jKm0CufKS8buY9x9R719RDpOEKz/kHBnK8RiClhn5mLILcKYX4xZBe2BLqKtdYRqthH7/FUkTw76nFJ0008Howm5u5lY45dEff2I7mxETx6iw4McHCLWcUzZXrR7lI1HvUEZkoYDY3l9kh4hHkOMh0CUkEWJmKCcU4lDx2g0qrn1qVKzaDSqRUjZbDY8Ho8G5Cq/rcr7VE+Vnp4evF6vZgQ0Y8YMRFHU+O+DBw/S399PLBbTVquLioq0LtZkMuHz+RgaGkoC11AopGmcx+d6anYPo58LFcydTicZGRmYTCZMJpOWa6lmWCYmtezevZunnnqKSy+99F9KMGlubtbkfOPr4MGD+P3+pMSVxIrH49x7770UFRVNCvLjK7GxSSzVZOuqq67Sbvvwww8599xzkSSJUCjEhg0buOqqqxBFkf379xOJRJKWkU56v6f0U6dYepuNqG9ykLYUFhCYxH7TUlFFoPYwKctXarcZcgqRQyEi3R3o0xU6QTRb0WUXE2k8iKFCGToJkg5dQTXRxv0YZp2l3CYISFllxFoOIrgyxi6XbR7oaUwCCkGURrXTI5PSHqqgHiZ3ynM6ndqkXpU25ebmcuLECS1tW7U2VYFcNUgqLi5GEASNtli6dCmCoCRc19TUaCBdWVnJoUOHWLVqVdLrdqrDw0R/ksTS6/Xah81gMGh/1+l0GnirHfZ4/np8Vz2xZLQIrFhUkbWBMsBVQXq4H8FoHpNHAsE9GzCUL0C0JcuxIt0dDLz7PDHfMKnXfBdTYRn/SsV8Q0Q6Wwl3tBA8up/Bj95AjoYx5BVjzC/BmF+MZeUCBFEk2tFEtK2OwMaXkCMhdDklCjUyfRn4+ol1txCt24VgtiOm5SOm5wFx5IF24n4vgsWpgLberID1cI9Ct5lsYLAgCDK6aAgEAVnQERcgjqBZeKpXMioY6PV6rTuLRqPakM/pdJKenq6Bs8/n087DjIwM7X1UaRM1TkzVZ6vblOrxtrY2jf+12Wwa7WCz2UhJScFut2O325O66K+zFixYQFpaGq+//jqnnXYaixYtOqX7aW5uZsmSJZMee/3117nsssumNKNat24dvb29PPbYY6d0X2oDN75aWlqS1sLb2tpobm7mu9/9LgCbNm2ipKSE3Nxcuru72b9/P2vWrGFwcPAr7xO+7k7abiU6PDkZbikooOv99RNut5ZX0f/JB0m3CaKIuXI2I0f2ok+/SLvdUDaP0N4NGkgDSHnTiW56UUttAcWYRzDbkXtPIKQXar9TdmYqwQDGaaiGP4p2emra42ROeYIgkJqaSk9PD/n5+ZrmU9VS2+12MjIyOHTokKajLioqYtu2bdo2X3l5Odu2bdO+7dW4ppUrlS8tlRIZX2r0U6I+e7JSO+HxNb6TVkF6fCetKjfGg/RUW4yJGmlA0aRra+HDmo493t+BmDLmdRDr7yR6ohb7FXdqt8XDIYY2voNv1yYcZ67GvmSlNkyerOR4nHBPF8RjSBYbosWKqNcj2RxIJdMxlUwfe10GBwi31BNqacD70etEOk6gS8vCWFCKsbAE87lLEQSZaGs9kcZDjHzxLqLViS67GKlkIZLJQtzbQbR2O3IogJiag+jORjBblUWbnuMKj21PRbDaEGRZAexoeJQWsSHoREXWF48hCxKyJBFnrMtWAVGlBWRZxmKx4HQ6NbokGAwSDodxOByaVDMcDuPz+RgeHkav15OTk6M1EcFgkMHBQVpaWrTBs9PpJCsrC6fTidVq1WxEh4eHkzycVa8Ju92OzWbDZrNhtVon/Pf/dpGmsLCQW265hZdeeomuri4uuuiiKbloUAaG7e3tk66VNzU10djYyH/8x39M+m/fffddPvroI5555plTjrWaCqT37t2bpCT56KOPOOuss9Dr9VpIxNq1awmHw2zYsEFTa9XU1JzS/X79dMcUnbS5oIDAJLvqpvwiIv29RIeH0NnHpC3m6XMY3PA2jhVjIK3LKWHki3eI9rShSxulLfQGpNwKYscPIE4fc/cSs8qI1e9UVo5HOU/BZEMOmJTtt1GDH0EQkA3mSWkP1YNYpT1UpzxVO50I3CooC4JAZmYmHR0d2O12RFEkPz+f5uZmqqurMRqNZGVlcfz4ccrKyigqKuL111/XjPwrKyt59tlnNd46Ly8Pr9eryfu01yJheHiypZap6I5T6aRPBtInr4ROOh5TOkkUukPMUC5l4wMdSBljMWTBXR9inH2GRmWF21voee4RjAUlZP7gV+gcydr7eDRC6EQLI80NBI83MnK8gWBLI5LFhqDXE/P7iAX8CKKEZLUqwRJWG/r0DIzZuRizcjFm5+I8ZyaiwYgcjRBuO06ouZ7A/h0MvPM8gt6IsaAEY0EZ5rNPR5Qg2t5AuGYbsd5WpJQMBbQLZiAgE+9vJ1rXpkhEU3OU4bUoIve3EVedGm2pytVd0DcaI6ZTNOQGC4IsIMaV114WdMiCSFxAG2SrA6loNKq9HyqlpoK2Gq5ssVi0NPdIJKKBdjQaxW63U1xcjNls1vIqBwcHaWtrY3h4WFvTdjgcpKWlafw0oHXfPp8Pn8+H3+/XAF9d4lG778Q/LpfrpICrlsvl4lvf+hZvv/02zzzzDFdeeeWUTUhbWxsZGRmTqjXeeOMNVq9ePSkA7927l0ceeYQnnnhC2048lVLpv/G1Y8cOzelwYGCA/fv3c9999wFKystpp52G1Wplw4YN5OXlkZ+fz5YtW075vr9eusNuI9TTN+kxc24Ooc5O4uEwYsILJ0gSltIK/EcP4Vwwxh2ZplXS++JjSa54gihirFhI+Mh2dGmXjT2JwhmEtryKrniOdvksmKwIrgziXQ1IOWOpJzgzoKcJ2ezQVpSnoj0mi9uyWCyadlodGKpBAGq8lMfjobW1VdNX5+XlsXnzZiorK5EkSUtjKSsr07hDNX7LarWSnZ1NXV0d06dPR5IkZs6cyZ49ezjrrLOSXtPKykoOHz78fw3SU3HSateWyEknDha/mpNGw2iVk5ZlWTHiNyoyu7i3G125cpka6+sgNtCN5exrtV8x8P6LOM64CPuiidlwPe+/Qdcrz2FIz8RcMA1TYTGO+YsxFUxL+qKXZRk5HCLm9xML+In5hgl3dRDqaGVw2yZC7a2EuzvQpaRizi/EUlqJpayS1MUrEfR6or1dhJrrCB0/xtDmfyJHQpiKKzGVVGFZdBFCcJhoewOhvRuJDfahyypCyilDSkmDwBCx1lrkoR5EZzqiJwcsTuRIiHh/O8Sjo122GQEZ/H2KVNFgVkBbLyLIccRYDAQRWdQRFwTisqBxuWazOWmVGhQ9r8vl0kA7EAgQDAYxGAxkZWVpvGooFKK9vZ1AIKDlDbrdbu13qi6Azc3NDA8PE4lEsFqt2h+z2UxGRgZmsxmz2Zy02KQGyg4MDNDc3My+ffsYGhrCYrFoYbJut1sD8PHnp8Fg4PLLL2fz5s089thjLF26VKMDk86Dnh4t1WV80PHnn3/OunXrJj0977vvPn784x8nZZWeSk3WSQcCAerq6jRF1tatW1m0aBFWq5W+vj7a2tq4/PLLtVnVpZdeSkNDAzabbcKS2lT19YK0w05kaHL7PdFgwJSTQ6CpCds4ExjbjLn4DuxNAmlBp8NSPY/A/u04Tr9g7D4q5hN65aFkesNoUYaIjfvQV479DjGzhNjRrcjuHARtmUWvaKcH2pHTisbeeJ0BwooNJnrlm3kytcdkK+MWiwWdTsfQ0BBOp1OzN+3u7iYvL087OdUBYkFBAVu2bNEoD9WqVNVmTp8+naNHj2rSvcWLF7N9+/YJIK1SIyerxJisxDKbzfSMhjFYrVZNUaBum0WjUc2aVKVGEoFb7cQn7awFFKCe8D8JA8VYVBm0AfHhAaTUrLFYrXiccGsTadd/f8LjDnV10PPWK5T97jEMaZOnZ2j3LAgIRhOi0YTerQyWrRXJfhNyLEa4q4OR5gYCx47S8dyTBNtaMOUXYS2bjqV8Os5zLiPV6SI60EuwvoZg3SG8/3wF0WLDVDwdU/FCTNn5xAc6FT5732cIBhO6nBKk4gWIRiOyt4toyxFARvLkKcsyej3yUC9x3wAYLQg2N6KoV7yz/QMKbWS0jgb2jlIj8ig1IkrIgoAgKLSb6kKogrbaaat5nYAWJaYOIx0Oh5YWFIvFiEQi9PT0aLy3KgnMyclBr9drv1tN+u7o6NC+BFRjMjWL0Gq1UlRURHV1NQaDQYu/UsG7tbWVAwcOaLrwzMxMKioqyMzM1D5np59+OlVVVbzzzjs0NjayZs2apL2A2bNns3HjRt59910uueSSpPd99erVvPHGG9xxxx0TzoulS5dy4MCBJNfJU63xXxRqULP6Gevv79fAv6uri5ycHHQ6Hd3d3RQWFqLT6ejp6aG8vJxgcKK182T19YK0y0FkcGjK47ayUnzH6iaAtH3WPI4/+O4ErtM69zQG3n4O+/LztdtFowV9ySzCh7dhmj/2IuumzSG05RWkgmpEi9JNCToDYmYxsbajSMXzx3632Qkjo5l5o3pqRe1hhpAfWdJpA8fJAgLUpGw10kflpjs7O7VllszMTA4fPqylaCQOENWuprm5WTNt37Bhg9YRVFZW8vLLL3PppZcCsHDhQp588skJgDt9+nSefPLJk74nia52iaUOQkHpvnw+n/b6m81mLVLL6/Vq/LsKziqATzVUFBKBWRQgHkfQCYr5vjy6iZigAImP+tW9e/4AACAASURBVIOrFe3tRLI5EE3JWX+yLNPx9GOkrb7sKwF6sooFQ4h6XRKvrQZQGLNzcS1RNsDiwSCBxmMEag/Tv/GftD7+R3RWm9ZpWxefi/vybxPtaSdYfxjf7s2Ejtehc3swTavEMPs8DC4n8d42Isf2EO1uQXKlo8uahuTJAjlGvLOR+ECnstbuzkKwuECWifUch1BAWfixupTXUqVGBHGMGhEEhXufBLRFUdQ6bTWUVwVu1dVPpfPUjjsSiRAOhzVVhnquq8A+ODjIyMiI1pWrm5Rms1m7olTplkAgoK2u+/1+ZFnGarVit9txu92UlZVpHHk8Hte2KTdv3gwoV4ilpaWYTCZSU1O58cYb+fzzz3n88ce55JJLkoKcv/e97/HAAw+QnZ3NggVjs6prrrmG2267TRvSJ9YNN9zAlVdeyY033jhBV32ymmx7d3w+6NDQkPalmBja0dfXR1FRkRag63K56BxnOjdVfc2dtIPwSUDaWlqG79hEL2Rjbj7EYoQ72jBmjw0BjAWlxMMhIh0tGLILxm6vWorv3ccwzlqhJEcDgtGMrnAG0WM7Mcw+W/tZITUP+tuSJXmCgOzKVGgPk03zkBDE0SWX8Aiy0ap9oyeqPdQ3yWq1MjAwoE3kLRYLBoNB85xWuwo1eksdIKrDmmnTptHU1ERpaSkOhwOn06ltH44fCjqdToqKiti3b1+S30BBQQGSJLF+/XrN82N8hcPhpCRwtVQgBuVkV6VCqtObCtIqkKu8tcpZq5d+iXpZ7b+ioICw8qKO+3sckEb/O/pvgz7EBJAOtzejT3i/1Rres4Nwdwf5P/z5pM8VIOrz429sJNjaykhbG8HWNoJtbYy0thH1+ZDjcXQWCzqHHZ3Dgc5uR+9woHe5MGVnYcrNwZybi3laGbbpiie4HI8Tam8lUHeEQN0R+j56l0hfL+ZppVhKK7BUL8a1+jpk3yDBxqP4vviE8IlG9GmZGAvLMMw+D53VgjzQSejgVmLebqS0XHQZBYj2FJCjxNqOKaEHjjTElAzF7zoSIu7tgnAQwTYK2nJcSZ8Jjyivp8EyGhWHBtoIIrIgERdEZFE5hyVJ0pzoVMBWue1E4Aa0rlrtumVZxmw2a5406u9QVSW9vb2MjIxoP2e1WsnJycFqtWIymTQPk6GhIXp7e6mtrdUaG4/HQ2pqKtXV1VRXV2upLXv27CE/P5/KykoyMzM588wzKSoq4s0336SqqoqVK1dqj3vt2rU89NBDpKena4thNpuN66+/nscff5zf/OY3Sc1fWloaq1ev5plnnuFHP/rRlOfS+JpsKzcQCCR9vhLXxvv6+rShZn9/P/PmzWNgYACHw6GF655Kfa0gbXA6iHhP3kn3b9ky4XZBELDNmsfw/t1JIC2IItbZS/Dv/SIJpEWHG13WNMLH9mKsGpPfSIUziW5+mbi3C3HUIU8QBKTc6cSavhzVso6CuqRHdmSAtwM5rXBM7SHpFdnYOG8PFZxU2kOn02luZuo3p8fjob29HYfDgSiK2gDR4/EgiiK5ubm0tLQwffp0CgoK2Lp1a9JiS21tLQUFBZMOBVXKIxGkJUniN7/5Dd/97ne1HLrxFQ6HJ+2kzWazRnHAWDc9HqRVrlo1B1KvINROTNXGJvtWJ3TSGjCjdM7qiZnQScsjfkTXWEcTbm/BkJ3stRsPBWl/9nFyb/0B4iSr4XI8Tue773H8L49hysrClJuLOScH14L5mL9xCaa8XAypqRCPE/X5iQ4PER0aIjI0RHRwiMjAAMH2Drx7v2SktZVQRwc6u0MB7bw8LIWFWIsK8ay6CmNmBvGAn0B9LYG6o/R9vJ6RhlpEswVLSTnmknJSlpyLZNARbmvCv2croZZ6JJsTY2EphvLl6GwWZF8/oSM7iQ10I6VmocssQLA5IRYl1noMebhPsXN1ZYBkhGCA+EAnhEcQLIq5lALavtFFIVkBd4MFQWdAQoZYDARGu20RGQES/JrVblvtuFXgVpep1AG5CuqqZlr9wrZYLJp5lDqkVAG5o6NDC5lV1R/V1dXo9Xr8fr9m3H/06FEMBgPTpk0jJyeHrKwsgsEgdXV1bNq0CZvNxllnnUVhYSG33XYbb7/9Nk899RSXXXYZbrebvLw8rr/+etatW8fPfvYzzVHvnHPO4f3332fz5s0TXPtuuOEGrrjiin+pm54sLzQQCCT5kCSqrfr7+5k5cybRaBSfz4fL5aK+vh63200sFjtlV72vt5N2Ts1JwyjdUVc/qYTLPmse/Z9+iOeCbyTdbp2zlK4nHsB1wRVj24KAofo0Ap++jKFyoUZNCJIOXcl8Ike3Y1h08ZjI3uJESMki3l6LVDBz7JebHcra8gS1h0nx9hB12n2qnWMi7aEOES0WC5IkaYL9wcFBbSiiximp3cXOnTuprKzEaDSSkZGhLbaUlZXxxhtvaDyZulGYCNKvvfbahA3C0tJSbr/9dn7yk5/wzDPPTDCuSUyeSSyz2ZzEiVmtVnw+Hx6PRwPptLS0pE46FAppg6fEIcqElfBEGjoJpBP+jqz8PwrdoZpngQLSjuXnJT3enndexVJSjq16NuMr0NJC3f3/QzwcZsYjD2MrO0kEkiShdzrQO08emCDHYoR6egi2thFoOcHI8eMM7NhBoOk4UZ8PS0EBlqJCrMXTcK28mNx/qyTu82rAPbj1M4LtJzDl5GMpqcB61mUY3W7ig32EGo4w1FyHLMsYC0oxFM1HdNiRIyOE6/cT6+tEcqUhZeQj2lOQkYl3NCpWvFbXKGgblE57uBeCfmVxxupEkGWEyIhigxCLKI2GwaqEYwDIUSQ5ri3WxAWQBQFZHrVlGAVuQOOg1e1ANcoqUWYXiUQIhUL4/X5CoZBGl6lctk6nIxgM4vf7GRwcpLm5GZPJREpKiraIA4q/c0NDA7W1tUybNo38/HxmzJhBVVUVu3fv5o033uDMM88kOzubq6++mp07d/K3v/2Nyy+/nKKiIubMmUN7ezvr1q3jxz/+sXZ1eNttt/G73/2OhQsXat7woDRU/2o3PRVIq3SHLMsT6I7U1FQGBga0BaW+vj6mTZvG0NDQpKqUyepr5qSdhL2DU+po9S4XOquVkRMnsIxLJbDNmEPr438kFgggJXA8+rRM9KkZjBzZh6V6TMWgS89DtLmI1O/HUDa2uSPllBJrPkS8owEpe2xLT8wsIVa7bUKXLTszlSUXo21MGSKIClBHRpBFWxLtkZiLqJ7Qfr9fu8RJTU3V/IAFQdCsTadNm4bD4UCv1zMwMIDb7aaoqIimpiaKi4vJysoiHA7T29uLx+OhoqKCDRs2aI9f1bHW1dVRUZGgVgHWrFnDtm3btCToxFIHf+PLYrEkrbiqTmuA9pzy8/O1blv1MElJSdFeA5XTHG9dqqK0Qn1IilYaQNJBdBQ4REkBEdGoKEAYO19iw16kcZK7gS2fUnDX5DTHsfseIGXBAvJvvvGkOup/pQRJwpSZiSkzE9f85NX7qM9HoOk4gePH8dfV07x5K75jx7Dk5+GYNQvn7FmkXXINOruVkaZ6AnW1DO/eTtfRGkSTCWvVLKzLV2PKzSc+0K3I/vZsJTY8iHFaBcaSJejcbggNEzlRp3DazlR0WdMQnMoqeryvVeG0zXbElOyxTU5vF/HAoNJN21zKYDEeBb9fsV+VDKPdthlBJyCNpt2o3Tajsj+ZMZpEHUrCGHCrq91q02IymZIi2FR1iDpHMZlMGh0xMjKira1Ho1GcTicpKSksXLiQoaEhGhoaqKur09z8FixYoGU15ufns3DhQhYtWkR6ejqvvfYa3/jGNygtLeXCCy+ks7OThx9+mLVr12KxWKiurqaqqop169Zx5513JuHSDTfcwNVXX8155503wVBpskoKWFbPk9FZDYytyKsKKJW/93q92heEOsf6/wbSOotipBMLjKCzWib9GceMaoYOHJwA0pLFirWymqE920lZnqxisC09m+GtHyeBNIBp/jkEPnsVffFMreMVBBF91TLCX36MmJY3Rm+IElJ+NbHj+xRuT6M9dMiuLPCOqj20rlw/5uBmmDoX0WKx0NfXp0nd1JNV1U2np6ezf/9+jT/Oysqivb0dt9tNQUEBO3bs0ABOzS/0eDxkZ2cTCoW0lXGAuXPnsnfv3gkgLQgCN998M3fffTfXXXddUqeduCGZWKoxj1put5uBgQHlPRoFbIvFQjgcJhqNagqQzMxMrWNSu2p1M1FVwgiCgKx2zTqDopgBZcEoOIxgtiPYUpB9AwgpmUgpGcT6O9AXKcoLnTuNaH83hqwxpzad3UF8lHoZX4Gm40y//7//ZYAe6eymb/tuerftxnvoKKJej95uRWdT/9jQ2yzoXU6s+blYCnKx5uWgs9lwzKjGMWPMaCceDjN8tJahffvoen89dQ/8Bp3TiXPWTBwzZ+C55JuY78gn3N6Kr2YfQzu20vH0Y+icLqzTZ2JdfB7m/AKi3W0EG44wvOVD5FgU07RKjOXL0ae4kH19hOv2EevrQHJnoMssQnClAnHinU3Evd0IFgdiSqaSxC5Io6DtBb1p9LyXFMnfyJAC2giK7M9gRtAZAQEpHh4d8IqjNImArPyrCcCdqChRl25isZgm69PpdEmeJD09Peh0Os2XRhAEbd38+PHjpKWlaU5/ra2tfPnll5jNZmbOnMmVV17J7t27eeWVV5g/fz4VFRVcffXVvPzyy5x11lnMnTuXm2++mVdeeYXf/va33HXXXTgcDr7//e9z99138/rrr3P55Zdr75nH4+HnP/85P/3pT3n++ee/Urc8mVKqpKRE2/xV/eY7OzvJz8/XPusej0dLOVftJdTQ61OprxWkAQzuFEJ9A1OD9KyZDB04SOaqiyYccy5ZweAXn00AaUvVPLzrXybcdhxDTqF2uy6jAMmdSfjITozVCdI7VwZSegHRYzvRV415MQtWlxJc23oYsXDMKFww2ZGDPiWoNCV77I5VS9O4DmF0IUNNGVeBVR0a+v1+bdnE5XLh9Xq1NVqHw0FfXx/p6elkZ2ezbds2qqqqND6vvb2dvLw8LZB2yZIlCIKgBQWoa69z587lxRdf5Jvf/OaE12769Ol4PB42bdrEmWeOaYvVJZnxZbfbtc4ZFJDu7+9X3qNRS1WVl1RXitVtS9UURx0mJg4RNbMdQVQ8pXVGhTNldJloZBhSQLS5iQ/3I6ZkInlyCNfuHnvZ0zKJ9CRPvvUpbqLe/gnPI+L1Isdi6E/BmCfQ1kHP5u30bt9D3/bdRIaGSV04l9TF88hdcxFyLEbU7yc67Cfq8xPx+Yn6fAwfa6Drk034W1oJtLZjcKdgLcjFmp+LtSgfe+k05U9FOc6ZM8i74XrkeJxAYxODBw4yuG8/J559jujwMI7qahyzZuJYcQHZ3/kB0b4efIf3492ykbajNejdHqzl0zEvOR9TZhYxby+hxiMMfnIEQadXBpFlS5EcduTAIOHaPQo94s5ESs9HdLqVTrvnhNJpGy1KKK/JrlAcPq8C2rKs8NoWuzKPiYYV4I6GlPdMbwaDCUESEeIxkCOaMkcBbqXbjo/OGBI9O9TBYqL3iCAImhRVlmVGRkbo7e0lHA5jNpvJzs5Gr9drpv42m42MjAymTZvG8ePH2bJlCyUlJSxevJjy8nK2bt3K0aNHOfPMM7n55pt5/vnnGRoaYsWKFVx11VW89957/PGPf+SHP/whVquV//qv/+Kuu+4iJycnaY38jDPO4MCBA/znf/4njzzyyJQr5DA5dZiVlaVFp6WkpJCTk0N7ezv5+fnk5ubS1tZGUVER4XCYYDCohVp7PJ6kmdDJ6pRA+tixY6xdu5abbrqJ66677qQ/a0xNIdw/gDV/oqk2gGPmTDreeGvyY/MW0f7Un4n5hpFsY1tGgiRhX7KSoa0f47ky2QjFNO9s/B/8HUPZXG1bDUBXtpDQlleRssuUafloiRnFxOp2IPe3I6QmPEZHhkJ7jAwpXQijtIfeBOHgBLWHaoajnnx9fX3aENBut9PT06Mts6iZh+np6dhsNoxGI319fXg8HgoLCzl+/Dh5eXkUFRXxxhtvaM566jBRPamqqqpoampKCr5NrKuvvpqXXnrplEBazSlUuwO3262tqSZSH6qfttPpxO/3IwiCRn2or4PVatW667EXWlQ8pfVG5YMPSvBCj+LfIthTkH0K6EqebGJfjIVC6D1ZhFrqkx6vzjU5SAeaW7AU5H+l90LPlh3svPUu0k9fQuri+ZR+9ybsZdO0DdNTLTkWY6SjC39zK/7mVnyNx2l59R2G6xoZaevAkpejgbajvAR7eTkZF16AZDIS6u1l6MBBhg4coPnxJ/Edq8OUnYV9+nTsVbNJXXUVkgSB+lqG9+6kq/YwIGMpm45l9gqMGekQDRNpacDXXEd8JKAMIvPnIDodCPEwkaYaoj2tiFYHUloeUko6sk6P7O1RlCKxCKIrQzGJ0hkgHCI+1KN8kRqtCnCr3XbQp7j7xWMaaKM3IYgiQjwOchhJZpTfFrXBpKqC0Ol0SV4fKn+tfk7S0tLQ6XSMjIwwNDSkpc9nZ2fj9XppbW2lqamJnJwcli1bxoEDB2hvb2fWrFmsXr2ao0eP8t5777Fy5UpuueUW/vGPfzA4OMiqVatYtWoVIyMjPProo9x5551a13zvvfeSnp6eJMtbu3Yt3/ve9/jrX/96Uie8yahDNXO0rq6OhQsXkp2dTftoVGBOTo6WIKM2QQ6Hg9bWVi1u7VTqK0E6EAjw61//ekoTk/FlcLsI9Q1MedxWUkyoq4vI4NCE4Y1ktmCbMZvBXdtwn5ksNLcuOJ3BB39CbMiL5Bgz4JHcmehySwkd2opp7phJk6A3oq9YTKRmM4all2ofRkEUFdqjYbfi8aHy0KKInJID/SeUoNrRDEQkncKdJiy5JAawqpd9ajetctFOp1PLmnO5XEngqr6RHo+HgoIC3nvvPZYtW4bBYNCyD6uqqigvL+fDDz/UnpPRaKSyspL9+/dP6uy1cuVKHnroIerr6zUt6VQgra60q9/q4zvp8SCdlZVFIBBAlmVN9ZE4TEzcSIzH44jCKOesM4IsI8eiCGYH8ZFhZWZhU1LgAQSrE+Jx4v4hRKsDXVomvj2bkx6vLsVNZGAiSI80t2AumCjXS6zebbvZeduPWPjkQ6SdNnlk0qmWIElYcrOx5GZP+F2xYAhfUzPDxxoZrmuk48NPqX34CfzNJ7DkZmMvL8FRXoKjvIy0C1dhyc9h5Hgzw4cPM3zoEO2vvEqwsxNbaQm2igpSVn0Tc2Y6cf8ggbqjeDdtINTVjim/CEtxOZa8fHQGHdH+bgKH9hDt6UCfkYshrwgpLR1BLxLtbiXWfQJiEQW0U7PBbFXixXpbkX39CBankrpusCrGT74BhdeOx5Shu8UBkk5RkgS8ipJElEZpEguIEgIgxMKKDFAQlcxRQbFolWVZm12ozYXq+ufz+bTlL0FQQg76+/txOp1UVlYSDAZpamqir6+P2bNn09PTw/bt28nPz6esrAyHw8Enn3zCkiVLuOmmm3jttdd46aWXuOKKK7jiiit49tlnWbduHf/2b/9GWVkZa9eu5de//jW//e1vtY0/nU7H/fffz/XXX091dfWUrnlTLYaVlJTQ0NCggfSWUQVbbm6uZkmampqqDQ1VY6VTBemvbCMMBgNPPvnkKa8wGlPdhPsmfpjUEnQ67FXTJ2QequVcfDqD2z6fcLtksWGdtYjh7RsnHDPNPYvw4e3ER5LNncTMYgSjhdjxA8mPwWxHTC8kdqImSasoGMxgSVFkeQnRUuhNEA0rgaqjpfKx6s+ZzWaNkwOF8hgeHtZoAHWACJCdnU1nZyfxeByXy4XBYNC2/1SKA9CsTNVsOoA5c+awd+/eSV87vV7PZZddxssvv6zdFgwGp4wqcjgcmmmOehKptw8NDSHLsgbSqr1kon468YpCHSJqCg9R4aS11y8SVPhpAYiEEO1uZF+/NmSWPNlKdiGg92QS7elMem/0LjfRgYmWA4HmZiz5U6eMDNYcZce372TBYw/+PwN0YkWDIQYaW+irbSAaUjh3yWTEWVlG7iXnU/mjtSx84vecvekdVtftYNFf/0juxecDMq1vf8D2G25nfeVp7L7jP+ncvBd9fgkV99/PovfepvC7t2HMyGDgi23U3v8bDt/7AL27ahCzy8m44Q7SL/0m+hQ3w/v20PbCM3S9/z6hkIhxzpmY55yG5EhhpL6Wvg/fZWD7dkJRE3JWFaInHzkaJdx4iMDujYQ7W5FNKYpVgsFE3NtNpG4vkYZ9xEf8YLCB0Yociyl5kS01xHpPEI9GkSWjMoQMj4C3A/qax4IQBEER78TCSJEAungYgwgG/dhWpNrYqKvoquba4XCQl5eHLMuaMqq8vJyUlBRqamrQ6XQsX74cn8/Hpk2bsNvtrFq1il27dlFTU8NVV12F3W7n6aefZmRkhOuvvx6z2cxf//pX4vE4y5cv55JLLuHnP/95kgtdWloa9913Hz//+c+56qqrePTRR7U9ArWmAuns7Gw6OjoApXtubW1FlmVtsc3r9WrhCxaLRaOBTrW+spNWfQJOtYyeVEK9U4M0gHP2bAb3fknqstMmHHPMXUj73/5EpK8XfWpytpp92Xl0/eW/cSw/H9E8xnmLdjf6kjkEd3+MZfka7XZBENBVLSO87U3E9MIkC0whrRCGepG7mxAyEvxr7R7obVbWcm0Kz6ksuRiSklwm66ZV/lb1I1DNmFwuF2lpaRw4cICCggIsFkvSoktBQQHNzc2kp6dTWlrK559/roGXCtqqXeWsWbOSuuvxdeGFF3LLLbdwzz33aEOZqSK2VO4cFC9sn8+nUTSiKBIIBDRFCYx11WazGZ/PR1pamnayqV9aY3FbepDjyHJcsSoNKRaxgtWtJOe4cxSf78EeBFc6utwyIg0H0BdUItocSA4XoYbDmEqUIZK1sprOl54m6htGl0CFWQoK6HznHfJuvGFS6iLY04fR7SJt6YIJx06lwj4/ex97jsHmNnztnQy3d+Fr6yTs82PLzkAQRYZbO7BlZeAqLiCluICUkkJSigtILS/GWZCLaDDgqCzFUVkKjFkcRHx+ho7WMVRTS9/ufdQ+/ASCKJJ++hLSTl9M0b//AFOah8jgEL7aWoZramh/9XV8R49ir67CvXQJ+WuuVVQkdUcJ1B7Gu2UjMb8f28y52FZ8A3N+AbH+bkLHjzGw9wvi4RCmkipM1WdhSPUg+wcUe9aOxjGXv7RcRJMJebifWHMNsn8QMSVDcfmzpShKEF8/cV8/6AwINrdyVao3KiDt7VT4a5NtNBlJOReEyAgSApJOjyzqiccVsyhBELT0dTVWzGq1kpKSwuDgICdOnCAtLY3q6moaGhrwer3MmDFD66rnz5/PJZdcwvr16wmHw6xatYpPPvmEF198kRtuuIFbbrmFhx9+mLfeeotLL72UNWvW0N/fz4MPPsgvf/lLbdA+b948Pv74Yw4fPszTTz/NL3/5Sx544AGNrvF6vZPmG5aXl/Piiy8Sj8fxeDwYjUYOHTrEjBkzqKioYM+ePSxatIhdu3Zpw/fGxsaTulcm1r9GyJ1CmTLTGenqPunPuBYuwLt796THRKMJ5+LlDGzeMOGY3pOBuWIWQ1s/mnDMNPcsoq3HiHYlO+2JFge6knlEDn6KnLAxJAgCUv4M4r0tyH5v0u2kZIOvFzmSsFsvGZQFjFhEu2l8N61uV6mOcioIyrKM0WjEbrdrlEJWVpb27auCtPpvjEaj1nWXlJRQXz/GzxYWFmr+B5NVTk6Osj7d0aGZ3SS65yWWx+PRunRJksjIyKCjo0PbBlOVJeM7bKvVit/v13w+1IFKojRPefF1yjKF2QEqzeHKRPYq9yFmFRPrUJ6boWwu0fZ64sMDChWz7DwGN76rvbbGrFycC0+j562Xk55DxqoLkWWZznffm/Q5pq9Yit7l4MQb7096/Ktq6/2P0vL5dtJnVjLrlmu44LH/4ebdH3Bn70FuPbSR7xz4hB907eOKt59i/u034i4pwtvQzN6/PMdL51/HIznzeOHsq/noB/fy5ZP/oG37XsKjdr56m5XU+bMpuvEq5j/6AOfv3cDSFx/HWV1B2zsf8smy1Ww4cw1Hfr+O0GCArCuuYNZf/sSid98m+7JLCTQd5+Add7Lv29+j5/Pt6HJKKLznfyj+1e+xlFYwtGMzDb+4m45XXyTkj2A/+wrSbv4hxoISRo58Sdczj9D/yXpCIzK6ORdgWnA+gslCuHYX/k9eIlR3ANlgRypfgphdhhz0Ea3dQeTAZ8QGusGejpA+DfQm5L42Yo17iXUfVxZm7B7lM+MfgN4mGO5WlsR0BsUmIORHioXRS4KmAInFYloeaDQaxev1akPFvr4+BgYGKC8vx+l0cvDgQUwmE7Nnz2b37t34/X5Wr15NW1sb27Zt4+yzz8btdvPaa69peundu3ezc+dOAG666Sbi8TgvvPBC0vstSRIzZszg/vvvp729nb///e/asc7OTs0zOrEKCwuxWCwcPnwYURRZs2YNb775JvF4nNNOO429e/ciSRKVlZXs2rWLiooKTpw4MWXKy/j6+kE6w0Ows+ekP2OfXslIaxsRr3fS4ylnnMvAZx8lgapajrMuxrdtg3I5llCCwYRp0YWMbH07iZYAkPKrEHRGYo1fTvg3Yk4lsZZDitxOvV1nUAaJA21KJ8goeBvMEAlpt6mSPFUnqXbT6tRW3eZSF0ISQTEzM5POTuWSPj09Hb/fr0nipk2bRkNDA5BMfwDamz3VtpIgCMyaNYt9+/ZpUp+pMtsSARjGLtUSH6vD4dC2zNTJtMViIRgMEovFtMWXRPmdRnlIOsXtTWdUOMxwAMHhQR4ZRo4EkXLKiHXUK3y1wYS+dC6hmm2AssQUH/EzUrNHe3zpl1/LwOcfK57R6vMVRUp/O9EHIAAAIABJREFUcjfH//I44Um+uARBoOqeOzny4J+JJySKnEr11TZQ88KbXPTX3zHnO9+k5MKzyJg1HWt6alLXLun1pJQUMu28M5h3+42c/Yd7ueLtp/hu7SZurfmU5f91J6nlxXTtO8TGn9zHuuLTeGLGSt665na+eOBP1L33CYMtCtXjKCum+JZrWfz3R7iwZjNzfv9LjKlu6h57mg9mruDT867k8G8fJeQLkf/tW1j0zptU/+FBzAX5dH/4EbuvuoYDd/yQ/i+PYJm9jJLf/IWs676NaDTR8/Yr1P/sB3Svf4+Y3oFrzbdxrb4Wye7Cv/NTOv/2BwY2f0pEtqKffxGGaiVyKrT/c/wf/4NQ01FkqwepdCGiJ4/4YDeR/RuIHt2ufB5T80cplTCx5oPEWg8TDwWVpHizE0J+6GlSgFuUFL/tWAQxHEAvxDUTp3g8rrn5RaNRAoEA2dnZiKJIS0sLbrebiooKWltbGRkZYd68eezbt4/+/n5WrVpFb28vmzZtYtWqVcRiMd577z1sNhtr167lpZdeorm5GUmSuPvuu9m4ceOkCUdGo5Hf/e53vPLKK2zatEnzL5kqOf2MM87g888Vmnb27NkYDAZ27dqFy+WioqKCHTt2MHv2bE6cOMHw8LC2UXwq9b8A0ukEv6KTFnU6nLNn4d0zObdqLi5D0BvwH51oiq1PTcdcOZuhLRO7aX1RNaLZRnj0g66WIAjoZ6wg2nKY+GDyYxNdGQhWF/H25BdMsDiVodfwGB8siBLo9Aq/Olrq0Cyxm1aF/uoAUeW+VEpBjUPS6/V4vV4tbVztpouLi2lsVDL8srOz8fl8Gi0BaOktU9WsWbM4cOAAXq9XW5GdrCYD6ba2Nu1Yb28vgiCQkpKiTaYHBwcRRVFbKzeZTBpIq1cVmv+0qIPY6JXGaDctiBKCIw3Z24VocSC6Moi1KV9CxqolROq+VCLSJImUVdcwsP5l4pHRQAKXm9TzVtP18rNJz8NWVkr6+efS9OifJ32eniXzsRUXcPyF16d8LcaXLMtsvPs+Ft/9PawZk38wT6XMbhf5py9i3tobOP/P93P9569zR8deLnvtCSouu5BoMMj+p17ihbOu4tG8Bbx43rVs+NGvOfDMq3QfOIK9sozyH9zK8tf/zkWHtzLjVz/BmJZK80tv8cnyi/l46YUcffhvROM68m/5DovXv0v5vf+JOSebrvfXs/vqaznyq/9hqL4N68KzKPzF70m/TLGE7XrteRp+9TN6P/uUuDkV5+obcZ57GaLZwvC2DXQ9/Sje7V8QkVwKaFcuQo5GCH35Gf5PXyXScQI8RUgl88GWQryjgfCefxJtPQZmJ0JmKYKkI9ZRR6xxL3GfV0lI0hkUSmSgdWwPQZZHwVrWrlBVsLZYLNomX1paGu3t7QSDQaqqqrRkmYULF1JTU0NnZycXXnghw8PD7NixgyuuuIKuri4+++wzcnNzue6661i3bp322fjpT3/KI488op33iZWens5vf/tbfvWrX7Fjxw7S0tKmDDRYsWIFW7Zs0RqVNWvW8NZbbxGJRFi2bBm7du0iHo+zYMECtm3bRn5+/ikntn8lSB86dIjrr7+eN998k2effZbrr78+CTDGlykznWDXyTtpANeC+Xh3TU55CIJAyhnnMPDZRCAGcJy5Gt+2DcQCvgn/zrR0NaH9m5QTIvGYyYq+cimR/Z8mdc0AYk6FwrGNA3CcGRDwIkcSSH6dsiEnj9Ieqrg/sZtOXLl2OBz4fD5NV+10OjXKQ+2mQaE8WkZDEQoLC2ltbdWSYSorK5NAWU0Vn6pmzZrF/v37tXXUqUoFYrUSQdrj8WgArg49VKldNBrVvD7U55q46KN5eYji6BApPrqCPzRKeWQR9ypUj65wJrHjBxVwt7nQ5ZZqmmlT8XQM2QUMbxnj4D2rLsNXs5+RxmSjroLvfJuBXbsZ/HLfpM91+k9/QO0fHycaGJn0+Piqf38Dw60dzLn12q/+4X+xREkitbyYissv4vRf/ojL3/gra+u3cMveD1nyk7XY87I5sXkHH3zvHv6Ut4Cn5l3Auzfdye51zzDsGyHvmstY+vw6LjqylcVPPYJ77kx6v9jF9m/dwftVy9n/Xw8y2NJD6vkXMe+F5yn/r59jKSygb9NmDq69g5p7fsHAgXrM1UvIv+uXpK+5BkGno3f9WzQ98Au6P/mEmMGF/YJvYj/zYkSjWQHtZ9YxuHM7Eb0b/dwL0E2bQXywh8CWtxnZtp6oz4eQPwsptxLZ5yWy9yMijftANCLkVILRSqz1CLH2Y8iiXqFEIiPQ3QiBAdAbIB5DjATQi8kZmykpKdrVW15eHsFgkI6ODkpKSgiHw3R3d7No0SLq6upoaWnhvPPOo7Ozk5qaGr75zW9y6NAhdu3axdy5czn99NP585//TCgUoqKiguuuu4777rtvUuvQmTNncscdd/Dv//7vk8pe1crIyCA3N5cvv1Su1svLy8nKymLTpk2a89+OHTsoKysjEonQ3Nx8yp4hXwnS1dXVPPfcc2zcuJGPPvqI55577qQffHNmGsHO7q90eHLNn8/Arl1T/lzK8pUM7dlOzDfRC0Sfmo65ai7Dmz6YcExyejBMX8zItvcm/G4pqxjBmUb0aPLljSDpFH669XASIAuSHuxpk6g9zMoQcfS2ybpp1RUscYAIyd1rVlaWRnnk5eXR2dmp+fiqvh6gnCgHDowpVEpLS2lra5tSDK9yXup6+lSVSL8AmvheluWkY+pjVgN5VV7a5/Npyy3qllmi2kNbC49FFQpJ0kPIj2B3K06DQT9CSiboDcQ7FXrHOOM0QjVfIIeV9yHlwqsY3jwaKAtIJjMZV95A62MPEekfe+w6q5XiO3/AsfseYORE64TnmjKrCveCOez7ya8Ie786W27LLx+iZNVKxH9haP7/Wtb0VArPOo2FP7iFi/76O27e8S7fb9vDRX//PUXnLMff1cuOBx/jyZln81jFCj78/s8JxeIKp/3n33Dutg84d/s/KbntRgRRpPFv/+CT0y9m20130n+kmbxbvs2i999h1mPrSFm6BH99PbX3PcCBO39K746DOE6/gPK/vED2jbehczgZ+PQjjv/+v+n+6EMETwEZt9+La9U1Cmhv/Zju5x/HV1uPWLEc63k3IaXnEW0+jH/DS4Tbm5EqlqArX4IcCSq0yLFd4MpCzCpD9vcTa9itKLI8BcpVV0+zYsmqNyHEokjRIHqdpPmbqxaqQ0ND2s5Be3u7Flzb3t7OkiVLaGlpoaWlhQsuuIDa2lo6Ozu59tpr2bRpEw0NDVx44YVkZ2fz3HPPAXDBBRdQUlLCE088Men7cvHFF7NixQpmzpw56XG1VqxYwfvvv6/NZNasWcP69evxer0sW7aMnTt3Mjw8zJIlS9i+ffspKzy+drpDZ7UimoyET6KVBrCWFCNHogSajk/+exxOHPMW0/fx5AMf59lr8O3aRKR3oiercdbpxH1eInUT6RT99GXEe08Q62xMul2wuhBT84i3HEwGd8soyAUShouSTtmom6KbVhUx6pugcrmgDAb9fj/RaBSHw6HZOBoMBjwejzZMLCoq4vhx5bWpqqqitrZW0yLr9XqKioo01cWE56jXk5uby5YtW056SaUOL9Xn63K5kCSJ3t5eUlNTGR4eJhgMJnX8iaJ89TmpGnE1JADG9NKKq6ASGIDVDb5eQED0FBDvalCoqIqlRI5sQw76kTw56HJKGdmuDAJ17jRSLr6Onqd+T6RbWRJIOeMcnEtXUP8f/47v8JiU03PmGWRffilf3vIdWv/xIvK4FI05D96LZDbxybLVNP79ReKTRCGpdeZv76Hpky08d/plHN+4dcqf+98undFAxszpVF97KWf95h6u/ufz3NG6m6veewZnQR6vfuMWXll9E/XrNxKLRDCmppB59ulM/8n3Oe3lJ7no6BcsevoRBL2OzWtuZMtlN9O7az9pZ59N2T0/Y8HLL7Lg9VdIPWMFrS+8xK5Lr6Dro8+wzVlM0c9+zfQnXyH7W2uJ9HZTf88ddL7yAjg8pN/yY3LueQjrvGX4d35Gx1/uZ6TlBMZ55+G45m70RVUEt61nZMtbyEY7huVXoatcSqzxSyJHtiG485DKlyqOf8e2I0ejkFakLNB4O5WdBJ0BITyCJMjazMNisWiNgmrj29XVRUlJCfF4nP7+fhYvXkxTUxOhUIiVK1fyxRdfYLFYuPjii1m/fj2xWIxrr72W+vp66uvrEQSBW2+9lS+++EKTwo6vP/zhD9xzzz0nfa/OOeccfD6fNozMy8vjzDPP5LHHHsPpdLJs2TKef/55XC4XJSUlXxnYoZb0i1/84hf/0lkzroaGhnj22We58cYbNXlK27sf4l4wG3PW1GJtQRAItrcT7unBOXuisxkoE/32p/5M6rkXIYzraESTGQQB37aNWGYvSdo4E0QRXUYBI5+/ir6wCsE4phMWJAkxJZPIgY2I6YVJW4pYXcT72xBiEQRrivY4MZgULajZOTYwEkSIBkEyaJI81WdZHZ6piyRqIKXVakWv1+Pz+ZIke5FIhJSUFAKBAH19feTn5yPLMvv372fOnDkYjUZ27dpFbm6uZiLe1NREMBjU0lvG144dO9i8eTOrVq2isrJy0p8xGAy8/fbbnHHGGZoJe1NTEzqdjvz8fOrr60lNTSU7O5s9e/ZQWlqKJEm0t7dTWFhId3c3drsdnU5HIBDA4XBocUzqqrikG10GEkVl8OrrB70RwZZKvL1WseK0u5GjEWItNYjZpeiziwnt3YBgMCG5MzFk5iJZHfS9+iTmillIVjvWimpM+YW0/ulBJbi4pAJBEHBUV+NZsYLW51+g4613cMyoxjDqySCZTWSdcwbpZyyl/vFnaHj8WWzTCrAWTPwicxXlM+vmKzG5HHx6z//Q9PEm0mdOx5L21evn/9slCAJmt4u80xYw97vXIep17PnT02z59cP42jqxpKVizUjTzkNTWirppy+h+NvXorNaaX7hdWr++yFCvf2YszOw5GZjKysjc/UqUpctxXesjoaHHqbvs8+Qo1Ecs2bjWno6qeeuBgT6Pn6PrlefIx4IYK2ei3PFBZgrZhE+0cjAO88Tbm/BWFyNefF5iGY74UNbCR/YhGhPRT/zDARkIoc2QSiAlF+F6MxQZkIhv6IWiYZhqHs0Yd2kWLNKEqI0ZhcsSZK2CauGEeTk5NDY2IjT6cTtdnPw4EEqKirw+/20trYyd+5cGhsbGR4epqioCKvVyvr161m2bBlGoxGv18vRo0eZN2/eV74Hk5VOp2PRokU88cQTWCwWiouLKSkp4dChQxw7doyLLrqIwcFBtmzZwrnnnovVauXFF19Mws7J6n8FpHs2bcOYnoqzsuyk/1Yw6Ol49XWyvnHJpMd1DieBYzXEAgEsJeUTjhtyixje9AGSw4U+PTvpmGi2gSgS2vc5+tLZY37RKPw0okS0bhdSdtnYNqIgINjcxE/UKD4fowAuSMoAjODw2Mq4KCq3oQwUVUWDaqIuSZJGB6iAFQqFsFqtyLKsaaRBMZLJy8tDr9ezf/9+qqursdlsfPTRRyxatEjrbvv7+ykfTbUZGhriwIEDWvLw+Dp69Ch79uzh5ptvPulm044dOygsLCQzMxNQjMo7Ozuprq6mu7ubUChEQUEB3d3dWmz94cOHKS4u1nyF3W43PT09uN1uLSjVaDRqfKIgisqASGdQ6A9fH1hTlLX7vlYEVyZiShaxE0cgFkVKzR79kn0N0Z2B5EjFkJWHaLbQ//pTmCtmI1lsGDOycC5aRucrz+I/fADbrHmIOj16p5OMCy9Ajsc59sv/Jh4O45hRrRkwmdI85F95CaaMNA78xwN0b9lOyqwqDCnJ1JAgCHimlzL7lqsJ9nv559p7GGxpI2v+zP9D3HmHx1Vf6f9z2/SukTTSjLosyUW25d4w3fSyCSEsG1jC7iZLslnILtuS3fALpEPKhpZsEgIhBBJKYkhCAFOMsY0x7sa2bMmyeu+j6XPv74/vzJXkBskuu+d55pkZzZ3RnZk77z3fc97zvmiO0w8I/W+HrCgULWhg4V9+jDlXXMjIsTbeuvu77P/pr0hFp/CWh7F6BE9eUhQ8DbWUX38NpZddyPiBQxy85zt0PPVrUqNj2IoLcVZV4l+5gvAN12MJBhl5ayst932HyQMHka1W/GvWUXDhZXiWrCTe1kLvYz9kcs87KB4/3vUbcK+9GD0WZez3vyR+aA9aaRWO1ZehFEZIHtpO6r3taBXz0OauRh/tI/3eW8LirGIhTAyiD5xADpaLE/pYjzherC5hfHASUMuyTDQaNXsmmqYRCARoaWmhsrKSyclJRkZGWLRoEdu2baOoqIj6+no2btzIggULqK6uZvPmzeYUcHl5OQ899BCrV68+K2ieLWw2G01NTXz729+mtraWkpISGhsbef7555FlmfPPP5+uri727t1LTU0Njz/++P8NSI/ufw89kSS46uxnJGtRESce/iFFl2xAdZ2+KG8pLKb38R9RsOHKU4YVJFlGKypl5Dc/w7Xi3Fl60wBKYYT08f0YsUnUUOXs53oL0Ye7Mcb6UQqnFfkkRQOLHb37MFKg1FTFw+KAyUGxBFMt+R04azad535aLBZTPCYvkN7e3k4oFDL5lRUVFbhcLvbs2UNVVRUOh4Njx46Zhp2yLLNlyxbWrRO0KE3TePbZZ2d5u82M7u5utmzZwuc///mzSiIePnwYVVWpqxMn1EQiwd69e1m9ejWJRILW1lYWLFhAPB5nYGCAmpoa0ybMbrczMDBAKBQiGo2iaZpphDBTY1fOj9bnR4mnckMQ7iD64AkkWUF2eJELSknvfwO5MILiK0IpriD++i9RgqXI7gCW0gpki5WR5x7FPncxisOJ4nThP+cCovv3MPDsL3A1NqG6xaSXe+5cCjdcRO+zv6b7F0/injcXa6E4MUqShHtONZU3X0+it5/d//AfpIZH8S9ZiGI9SZ9BUShd0UTjzdfRtfVdXrn9LpBlipsWIKv/M9Ko/xMhmCSrWHLbzRQ1NtD55g5e/ad7OP7SZhKjY9gDfuwFYlVh8fsoOncNtZ+6Cc+8OkZ3H+Dg3ffR+dzvSI2P4ygtwbtwAYUXnE/pR4Xpc/8Lv+X4/Q8Q7+rCVhqh4OJLKbjsGhSHk9HNm+h74sdkxsdxrzgH38XXIGka46//lsntr6L4gjjWXIHi9BDf9gLZwW4sc1ejROrJdhwi23EIuaoJ2WJF7zyA5PQLH8iJAcimwOE9BaitViu6rpNMJvH7/fT39+P3+5Ekib6+PhoaGjh06BA+n4/i4mLefvttmpqa0HWdPXv20NjYSHFxMU899RTr16/H7XajKAobN27kggsueF89mDOF1+ultraWb37zmyxfvpyCggLmz5/PI488QnV1NatWreLQoUM0NzezdevW/xuQnjrRyURzCyWXnOr0PDMkWWaqrQ09Fsc9//TLdq0gyMSut5FUFXvFqc4jaqCQVNdx0n3d2Gpnv4YkSail1cS3/BqlpBrZ6Zn1mBwsI9P8NpLdheyalimUbC6M5BTG+MAs7WlUTSjlOYU+xwfNpu12uylfmpczHR8fR9M001VYVVVTLU/XdQoLCxkZGWF8fJyqqiq8Xi/PPvss69evx2Kx4HK5eOKJJ7jkkktmiZnno7u7m02bNvG5z51q5jozurq66O/vN5d4mqbx+9//ng0bNqCqKlu2bGH16tWoqsrevXtpbGxkamqKRCJBSUkJHR0dZqaeL3kkEgmzLm+6lUsSZFPiBCerojbt9CM7/egdB0Q2nVveZprfRgnXo7j9KIURYq//EiWnH24JVyJpGsO/+hFaqAytoAhJUXEvXYUky3Q+dB+qvwBbWaX4/l0uii7ZgOJw0Pzle0gNDOJpXGA61suqQsHKJZR/7Gp6X97M/v/4OprXg3de/SlJgeawU73hXGouv4ADj/6KrV+7H3ekhEBd9Z/8g/4wQpIkPGWl1F5+AUs/85e4QoV079jDW1/+Dvt++kvGO7pRLRbc4WLknBZJ6ML11H7qZtw1VQzv3MOB/3cvPS+8RHpyCmdFBP+ypRRfcTlFl1xCanCQ9kd+Ss8vn0ZPJPAtX0Xw0qvwrl5PovMEPT95kPjxYzgXLMF/2XVYCkNE39nM+KbfoJXX4Vx/LcbkCPEtvwZJRlt0HpIskznwBnKwDKW4Gr3zPcimkQqrBPMjkzwtUOd1ZPLlw/7+fiKRCENDQxiGQWlpKfv27aOxsdFsti9btow333wTj8djAnk0GjXNN37zm9/gcDg+kJu4ruucOHECm802ax4hFArh9Xq5//77OffccykoKCAcDvPII4+wYsUKFi9eTDKZZOPGjf83IJ0en6D3xdeouOHa93k2IEn0Pf/CaaVL86H6A/T/8lECF11+2tFfS3kNI7/+Kbb6RSiu2W9WstiQXD4S21/AMmfJrGxbUhRkbxHp/a+jlNROZ8ggyh79raLTbBNZvqRaRfc5k0Ky5jL/k7LpvAh4HqQTiYSpv2sYhmm3lc1mGR8fJxAIkMlkGB4eJhQKkclkTLcWwzDYv38/TU1NKIrC0aNHcblclJSUIEkSe/bsIRQKUVo6u9QDYiDm05/+9Pt+/NFolB07dnDhhUKcymaz8eKLL7JmzRq8Xi9bt25lwYIF+Hw+9u7dS1VVFRaLha6uLsrLy5mcnBSg4PEwODhosknytkl57RJJUcUPTZIFOyY30CA5PICE3teC5A0hewvRR3vFsreoEsUTQAmWEnvtKTF8VFCKNVKFJVLFyNM/ylltlaE4XDiq5+Cav4i+J37C6BsvI6kq1tIyZFXFNaeW0JVXMLJ9O8e+/i1i7R2oTifWnDu16nRSeukFBFct4+gDP+bwfQ8xdaID2WLBXhqapVXtCAaYe/1VFMyt5c3/uI/t33qYnnf2Eu3tR1JkHIUB5P8h84H/bsiqSmBOFbWXX8Cyz32S8Momht5r5uW//xKaw05k9fRqV5JlnOURSi4+j9pP34yzooyhbTvZ/+9fp3DdSuwlxaguJ95Fiyi97qO4581lbPceWr/9HTyLFuGsrsG1YDGBDVeQnYrS+/h/AQbeVefibFqDJVzF+EvPoEcncK27Aq16Ienj+0kdehvrsktQAmHSBzYj+4tRIg0YQ11ClbKoRvQyQCgppuJIqoYkCVmGPHvK5XKh6zpTU1OUlpaaZY9YLMbk5CTz58/n9ddfNzPol156ieXLl1NWVsbjjz/OxRdfjKIoVFZW8vDDD3PNNde878n37rvv5utf/zpbt27lggsumJUw5cWUnnrqKc455xwikQi6rvPss8+yfPly7Hb7Kdh52u/wv3UEnCE8DbWMHzn6gYwWA2vXEO/oJJZjMpwuXI1NqIEgI6/94bSPqx4/vg0fZeTpH5/CgQawVDeilFSJacST9kn2F6OWzyN94I3ZYkuyghyei95zZPYEo7cYYqMYOfnNk5keefnSPA1nJmc6P05tGMaskfHCwkIGBwfNM3+ecRGJROjt7TVZHSePiM9kgPypUVdXx7Fjx2Y5fldVVXH8+HEkSTKnHyVJory8nI6OjlnMjzxVT9M0c+jAZrOZZgH5bBoQ4JzKcVF9JTDRj5FNIxVWIDkDZI/vAj2D1ngepFOk976CkUqgltbgvOKvSR5+h9irv0BPTGGrbqDk819DKyii78F7GNn4ONnJcezVc6j9xgMUfewmxt7ewpHP/SV9T/6U1GA/ms9H3Rf+jaW/+DmOqipav/d9dlzzEY4/8CBTLa0YhoG/qZFzn/856371Y+ylIQ597Xv8vnE9O/7685z4xbPEe6bZRJXnr+WWd37Lja/8gtorLmDkaBt/+MwXub9sBU9ddhObv3Qvzc+9yOjxjg9sOvphhiRJWJwOjr+0mUW33sCyv7vljNvKqkrRuWtY8p27mfevf8/h+x465bU8jQuo+7d/of6uL3H4379kTnwqNjvBS6+m+q5vMfTCs0QPCfqoraqOolvvJLrzTZIdrcguH/bzP45ktZPc9yayrwht/jpBkZVV5IqFGOMDYlLRWyx6GZIsVrQZIUEwU+AskUgQCASIRqNYLBZ8Ph8jIyNUVFTQ09NjDsN0dXVRVVVlipeVlpZis9lMZtXcuXNN7vXZYvv27ezcuZPXX3+dFStW8KlPfeoUdshNN93EnDlz+NKXvkQsFuOSSy5h6dKl3HfffbMEns4WH0omrTgctDz8GGUfvRLtDLXmfEiyTHp8gsn33iOwatXpt5EkbGWVdP/4+wQuvAz5NGPOWmkF8UO7yY4MYqtuOOVxtbSa5L7NSIqCEpydeUq+ENmuI5BJzdKelqwOjKkxjOQUsim2lMuQpkbFVKL4o8gSFW2WzdDpSh6Tk5NYLBbsdjuDg4O4XC5cLhft7e0Eg0HcbjfNzc2UlJTgdrs5ePAgkUgEt9uNYRhs3brVbBYODw/T3Nx8RmnFDxI2m42XXnqJxYsXm1nwwMAAIyMj5sF67Ngx5s+fj2EYtLa2Ul9fb7JS8iWPgoICrFYrQ0ND+P1+DMMglUqZeiaAYHoYuhgVt9jF7egIODxI7iAkp9D725ADJSgltRiTw6QPbUNy+VEKSrHULSE70kdi22+RXT6UYAhbzVycS9eR6mhl5NePoidiWErKsFdU4193Pp5lq4kdO0LPTx8iduyIyIyrqvEtXkzpR/4M/4rlTLW0cOKhH9D769+QGhxEcTpx188huGoplZ/4GGXXXY0kywy8sY2D99xH5zMvMNXehaTI2EPFOIIBihobqLnsfJr+5kYW//WNeCsjxAaGOfHaW+y474ds/+ZDnHj1LYYOHyM+PIoky1h97v/VjLv1xdf5zQ2fYdU/38baL3zuA/9vz7x6Dn/z+wSWN52WseUoLyc9OkrvM89StOFic7WrOF3YyqvoevBefKvPRXE4kK02VH9egVdUAAAgAElEQVSQ0ReewLnsHGRVRQ1VEt/yHFrNImRfEfpAhwDhQImQTh3pQQ6WCS9HCSHYlVdVRPQ9NE0zs+lEIiEww2ZjYGCAsrIy2traCAaDSJJET08PVVVVjIyMmDZxnZ2dZLNZqqqqkCSJ5uZmrFbrGUse8Xic22+/nX/913+lpqaGFStWEI1Gue+++zj33HNN8SRJkli6dClHjx7l+eefZ/369cyfP59kMsmmTZs4cODA/025Q5IkBt7YiquyDFfV2bV+AWzhUlrv+y7h6687hWqXD80fINFxgkTnidOakUqShLWmgZHnHsVa3YB6kkeeJCuoJVXENz+NGqkT7I8Zz5UDpaQPvIEcDJsa0wCSwyfYHt5ipLxLtWYXTUSLQzQaJcmkmeVr0/mSR56ID6LeO5PlMVMTIw96eR5yNpulqKjIFEoKh8O43W6eeeYZLrroIlPI6KWXXuLyyy9/38/4bNHc3IyiKKYGdSaT4Z133mHNmjU4nU5eeeUV1qxZg8vlYvv27SxYsABVVeno6KC8vJxEImGyPCYmJmYN8NhsNnMSUVGUnM9hUnxmVhcko8IM2J4D6kQUffAEsr8UpagCyVNA+uBmjNgkcjCCVlaHUlBCYvcmUkfeRba7UArD2OsbcSxaSfzoQUZ+8zPSfZ3IDhfWsio8i5cR2HAlRjrF8Ku/p//JR0kN9KLYHTjm1BFYuZLwDR/Hs2A+sfYOOh97jM7HnyDR24NsteKqrsS3cD7hqzYw57Zb8C1eQLy7lxM/f5r3vnwvQ9t2kugbQLZasBUWoDns+KsrKDtnBXOvu5Jln/skCz7xUbyVERKjE7S/vo1dD/+MLXd9myPP/J6ut95huLnVBG+L2/k/Ct6GrrP9Gw+y7esPcM0vHmTOlRf9Uc+XVQXFZuPEz35F2XVXnXYb35Im+n77O5L9A/iWNJl/txaXYGQyDPz6SXznXIikKGjFYZLtLaS62rDXNSJZbBipJOn2Q1gq54vv/L3NKOF6JJcfvfcokicowHlyUPDtDQMMHVm1mCYC+ZFsTdMYHx+nqKiIzs5OgsGg6WJeXl7O22+/zcKFC1EUhd27d9PU1EQsFptFvxsZGaGlpYWVK1ee9v0+8MADuN1ubrnlFkBgSFNTE4ZhcM8997B27Voz6ZEkieXLl3Po0CF+97vfsW7dOhoaGohEIjzxxBP/NyANMPbeEbKxOAUrlpzl2SI0t5uxnTuRcrXDM4Wjuo7u//o+3lXrUJynym/KVjuKN8Do757EueycUzzvZJsTye4kseP3ufr09OOSZkWyOcgc3o4SmW4a5WvYxnAnkq/ErDsjSRAbF6Lo+fvp6Ww6Xz7Ilz/ynGlFURgZGTHNAfr7+ykuLkbXdXp7e4lEIqTTabMuHYvF6OjoYO7cuWbzrrS0lIKCAlwuF4899hhXXXXVGUWUPkjkTUFX5VYyTqeTZ5991mxKvvfeexQXFxMIBOjp6cFms1FaWsrhw4cJh8PY7Xa6uroIhULIsmwq7xmGYTZ3DMOYdlqXZFH2ULWcpse4WNLa3OLHGJ9EH2xH8hUjO30o4Xqy/W1kW3Yh+4pQCiNY6pcjO9wk9rxOqnknst2NWlyGY14T7pXno8enmHh1I5PbX8XIZrGEIjjr5xM4bwPe1eeQHhli6PlnGHz+adJjo6heH47aOfhXLCf8sesIrF5Fsr+f7l8+zYkf/hdTLS3o6TTW4iJcleUUrllO5V98lKpbbsAaLGD8UDMtP3yMw/c+wMiu/SSHR1DtdiwFfrPM4K+ppGztchquu4Klt93Mss/dSmTtMqw+D1O9/Zx4bRvvPvgoW+76Nvsfe4bW371G17adDB06ymRPP+lYnGwqJYwrrNOOJyeHYRikp2JM9vQz2nKCTf94N4PvHeX6Fx4l2HDm39fZwjuvjkPfegD/0oU4SkOnPC7JMv5VKzn2tW/gnjcPW8n0No76+UT37CR29BCeJqHpba1uYPSFn2MJV6L6gyjBCIkdv0ctqRZuMvFJ9JFelKIKIXk7MYgUCItjRVZzYmcim86XPGRZJh6P43a7GR4exuPxkE6nzTmElpYW6urqaGtrw+PxEIlEeOWVV2hqasLr9bJx40Yuvvhi8v6dGzdu5MorrzzlvR4+fJjvf//7fPe73z1Fq72xsRG3282XvvQlVq5cafqT5oF6//79vPzyy6xbt45kMvmBatIf2syrd24dg1tOVZc6U5T82bV0/eIpii+79IzbaAVBgpdfS+/Pf3xG52jnopXE39vF+EvP4r/yz0953DJnCZme48S3v4Bj/UdnPSaX1CINdpBpfhtt3jrz71JhBfpID8b4AFKO7YHDB5NCzlTSbOLAISmshhR1lu6AxWJhYmLCpOPlSwFut9vMQoPBIHv37iWbzVJSUsLWrVvNuvSbb75p7kveBaKurg6r1cq8efPYvXu3Sc37U6KhoYHf/W56sjOv5Zv3XqypqaGlpYXy8nKzLl1ZWWlKm+aXiPkpsLx1WF4zO29IOu0NqWLkhao0OwQiMNwpBoZ8JcjhBvTuw2RbdqKUL0Cyu7EsuoBsTsBHLZ+PUr0IrWIuankDmfbDJHa/Cntex7b4PNTyetxrLsK1+kKSJ44Rfed1xl/diGPuYhyLV2GtrKPomuspuuZ6Eh1tjG19g/b77kZSVTzL1+BpWo69po7yT95C+SdvIdHfz8jW7Qy89DLHvv5NXPV1BNauwbd0Cc6aGkovvYDSS4UvZ2JgkMG3djC4ZQetP3qc1PgEwZVLKVi5FP+i+bhqKrEWiWW3ZrdRvGgexYtms5Ky6TSTXb2Mnehk7Hgn4yc6ObrxZcbbu4gPjxIfGSObSGLze7EHfNgCPlS7jcTIGLGhEeJDIyBJOIIB7MEAZees4Oqf/SfKaQTrP2jIFgvVt97IkfseZO1TPzrtNtZgkDlf+FeOfPlulv78Z6g5HXNJkojc9g8c++fPEF2xFteCxShOF4Fr/5LhZ35Cye33IFttWJsuIP7Oi7gu/yvU2mUk3/oVSvk8pIIy9CNbIF0jFPWiQ2LQRVEgm0JRVJObPzk5aQoz5V2HTpw4QWNjI5lMhsnJSWpqamhtbSUSiVBdXc2xY8dYtGgRiqIwMDBAcXExVVVVDA8PnyL1m8lkuOeee7j99tvPaFx79dVXY7fb+exnP8t3vvMd04lcURTuuOMO7rvvPr7yla9w6623fqDP/sMD6QUNHH3wkQ+8feCcdbR+7z+ZOPgengXzz7hd8IqPcOxfPsP4zm14l5++Fuu/5mb67r8La81cHHNPLY3Y11xF9PkfkGp+F0v9tAO5JElo884hte1ZsgPt4iwOSJKMHJmL3nEQyRPMlTRkDGeBaGb4w4J+p1pytWnVtHXPq8LlfQGdTicul4upqSkCgYA5Xp2vR4+OjhIMBk0r+GAwSCKRMK23qqur2bFjh7nPK1as4N133/1vgXRVVRWjo6MMDQ2ZAza1tbU0NzdTVlZGfX09zz//POeffz4VFRXs2bOHtWvXEg6HOXToEFVVVYRCIXp6epg7dy5+v5+hoSHC4bDJm/Z4PKiqOi1nqlpF9pxJIWlWjEAZjHQJsPaXIofnYox0kz2+S0wlhmpRSmqQ/cWkD20l8/oTKCU1KOF61Iq5uCoEWCf3byG25Tm0cC1qeQOWSB3Bj3+a7NQkU7u3MfHaC6R6O7CEK7FVN2CtmUvxxz5B8Q23kDjRyvg7W+l94ickutqxRSqEv+CcBgrWrqTkz65BT6YY37WL4a1bOfrVbxDv7MBaUoKzpkZcaqsJrlhM5FrBRIr39jO8YxdD29+l58VNRFvb0RMJHOUR7OESHOEQjkgp9kgJjnAJ9nAJtqIgvqpyfFXlcAYWazaVIj4yRmJknPjIGJl4HFvAZwKz5QxG0B80DMMg1tHF0PZ3Gd6xm6Edu0gNj1J84emHpwAyU1NEm4+iJxKkR8dMkAaQbTa0wiKSPZ1muVIrKUOPT6HHp5CtNrTIHBLvvoxh6ILJ4w9hjA8iu/xIdi9GfFKstEZzinWykMKVtels2mKxkMlkzCZ2IBAwbd8CgQDj4+OUlpaa8r9lZWX09vayePFi83ZxcTGKolBWVkZ3d/cskM7b4F1xxZnZaCBGxG02G//4j//IY489ZupQK4rCnXfeyZe//GVefPFU7aHTxYcG0p6GOSR6+kiNjWPxnV50fmbIqkrZzTfR/uNHaPzet8+8ncVC5NN30PH9b+Kc2zjLpSMfitNF8M9vY/Dn92O57YuogdnWX5JmxXHhjUz97kfIgRBqYWTGYxa0heeT2vMK8pqPItnEwS67AhgOL/pAG0oot2R0+qC/RTAUFE3oVKSTGHoWSVbMSUNZlrHZbKbrtsPhYHR0lEAgYEqZzvQZDAaDFBcXm+T8cDhMZ2cnDQ0NlJeX8/TTT5v729jYyMaNG9/38z1bKIrCihUr2Lp1qzkc09jYyObNm7nooouIRCJkMhlT9Nzv95vZNMDQ0JApITkxMYHP52N8fNw8sYyMjJiOL/kSiMViEQNCqZjQ59ZsUFAmao5DbeCPIBdEkHwh9METZI++LbjUxdVYllyCHptA7zlGeu8roGgo4TrU0jlolfPRY5NkOptJn3iP+LYXUALFqGX1OOcvxr1uA0YqSbL9GInWw4z9/pekB3qxlldjKa/Fu2gxhVd+BEnViB8/xtTRw4xve4O+n/+YbDKBvbIGe1UthetWUH7Tjaj+AuKdXUy1thJrbaXvN88z1XqczOQk9opy7OXlOMrLKL1gFTWf/Dj2sgh6Jku8q4dYVw+xrl7i3b2MHThMrFvcTg6NoLocWAuD2IIFWAsLsAYDWIMBNI8H1e1E87jR3E5Utxt/aRGqy4Gkash5i6p0GinnGATCQDebSJBNpHLXSfRkktTIKPGefuK9/cS7+4j39hHv7SfW3YtisVCwcinBVUup+ZtP4GmYcwoF1jAMJvbuo++F3zK0+U38y5ex5GePYS2aVnhLDfbT+dB9yDY7gYtE/8TQdYafeQTP+stQfaIkkGrdh6W6USRAuo4+0os2V7g3Gcmo4NFnM2ZJ0cBgJkEtP6eQf89mafKk2zONKfKGA4Apt5sPi8Vi2uHlI+/4/UF48eeccw6XX345Tz75JP/wD/8w6/f22c9+lvvuu+99XwM+RJCWVRVv4zzG9r1H0bkfjH0QuupKOh79GZOHDuE+gyYFgLNhAd6Va+n92Q8p+8ydp93GWlGL57wrGHziIUJ/+0Wkk2q2iq8Q+9priL36JK5rP4tsm2HH5Q/laHmvoy273PxC5NI6IQYTCCNZ7EiyguHwCYaCt3hGNp0Ci91smOW7z7qum2f5fEPQ6/XS09NjmlW2tbUBQst2YGDABOaOjg4aGhoIBoPE43EmJydxu92Ul5czNTU1Kwv+U2LdunU8/fTTJkg3NDTwyCOPmODa2NjIvn37KCkpoa6ujubmZqqqqqiqqqKtrY3CwkIikQidnZ3MmzePwsJCBgYGqKysNE1587ZieaDWNE3YK6XjIqu2OJA8RcKhfaQTw1UATj9KqBYjWI7ef5xs8zakgghyYQVq7VKUmiXoI71ku4+S2fJL5EAJclElWkUDlvplGJk0mb42Mh3NTL3yOGTSKMUVqMUVuJetwXfJRzGSSZInjpLsbGXirZdJdbWhON1Yyquxl9XgbfoLtFAEPR4n3tZCvK2F8R1b6Hvyp2Sjk1gj5djKKnFXV1B47hqskQqQFeLtHcQ7O4l1dDC0+U3iHZ3EOztRXS5s4TC2khC2khIKFtcTvuw8bCUhrMXFSIpCanSc5NAwycFhkkPDJAaHSQ6NkDx+gvRElPTkJJnJKOnJKJnJKJloDD2Txkhn0LNZjHQGI5s1G/FGNotis6HYrchWK4rNimK1ovm8OMIhbCXFeBpqKbpgHY7SEPaSYizBwBnBKDkwSP/vX6Tvhd8iqyqhq6+k6rOfwVIwrW1iGAZjb26i94mfUHj1xwhefq3Jjoq+/RpGKoFn/eXmtulje7Cfe524P9aHZHcj2ZwYmbQAZ4tdHCf5eQbDEOyPGcCcvz3zbyeHaUoBZiIFmCu9fOSbkTMjkUicdnjsTPGxj32Mm266idtuu21W/bq4uJjbb7+d559//n1f40PVYfQ3NTK658AHBmnZYqHs5k/Q/uNHWPCds59lQh+/hWP/8hkmdu3As/T0HVj3motJtbcw8sITFHzkllMe1yrnk+lrJ751I44Lbpj1pSrVTWTf/g16bytKqcicJYsdubACvacZpTJXRnEGYLANwx2cNgVIRDEM26wDJ1/yyDM7bDab6eVmGIY52rp79250Xae4uJgjR44AUF5ezqZNm8RnJMsmZWjevHnIssz8+fM5ePAg55133gf6nE8Xeb2BPNjb7Xaqqqo4cuQIixYtYuHChTz66KNs2LCB6upqtm/fTiwWIxwOc+TIEaLRKMFgkJ6eHlNQfWxszFwxuFwuxsfHTaDOGyOoqirq0tkUJKcwLDYkuwdDs4qR4OiwAGuHDyXcgFFYIcD68FuiaesrRvYWoRSUCkeQvjb0oU4xSWqxIRdEkAvC2JZfgn3NVejRMTL97WT72kkd240eHUUJRlCLy3E2zMezbgOSzUl6sJdUZyvJjuNE391CZqgP1R9EKynHVlqOp/HP0ErKwYBEVweJzhMkutqZ2LmdROcJkCRs4XIsJWFckQgFyxdjLQmjBYtIjY6S6Okh0dNLsreXib37GHjxJRK9PaQGh9C8XizBIJbCINbCQizBIM7iQgLzatD8PlSfD83rRcmJYp0pDF0X6nKApGkfKPs75TUMg/ToKLH2duIn2om1tzN1rIXo0aMEL7iAhi/fhXv+vFNeOzMxTveP7yfV10PVF78+a1o4PdjL+GsbKf70F83mfba/HSQZJbeqzQ50IOflGhKTYHMJcM2mxIpV7JwQ7jppf2eC9CyJYaZ/izMb+2fKpE8GbfjjQTocDtPY2MjLL798RgmH94sPFaQDTY10PPvCH/WckquvovNnP3/f2rRssxH+9B10Pngvzvp5KKcpe0iSROAjn6TvobuJ7t6Ka8mpxre2ZRcT3fgw6Za9WOZMU4ckWUabu4bUvleRiypM+p1UWIHevA19chjZXYCkahg2p5AydRWIpZqsCC6wos0qeVgsFhOY8zZbLpfLLHkUFxfjdDrNScSJiQlSqRThcJiBgQHTrbisrIyOjg5TAa+xsZEDBw78t0Ba0zRWrlzJtm3buPrqq4Fpc4FFixYRDAbxer0cP36c2tpaKisrzYZLRUUFbW1tNDY2mtm0z+ejqKiIjo4OU+cjk8kwMTGB1+s1ncbzZgiSasWQFEjHxfCQakUKlAmfyclhiLZiOP3gDKCUzccorceYHMIY60fvOYrk8CD5QiihKtRIvegHTAybLtfp/a8jufxims1XjLbkArA5IZUgM9BBtr+D1KG3hWO5ogrJ1GAp1uWrUS67DkmzkR7oIdXbQbqng/Ej+0j1dCBbrWhFYbTiMN4FC9AuvAS1sAQ9kSDZ3UGyt5tkbzfR9/aR6ukiPTqMFizCWlyKpSiEszSEf/E8LEUhLEUlSKpKamSU1NAgycEhUoODJIeGmNi3n9TQEOmxcdLjY6RHxzB0Hc3rRfP5UD1uVIcDxekQmiZ2O0ruvmy1IuXooShy7raMpCjomQzZWIxsLE42Hpu+HYuR7O0llnMLclRWitJNZQW+pUvxLV+Gcgawmtizk+7/+k98686n7O/+2RzBB5HRD//qx3gv/DO0wmkGSOrYHix1S6bnDAbb0RaKZqyRiCLZc7/vTOpPzqTNFfEMYD45k54J0ieDNvzxIA1w/fXX89BDD3H11Vf/SSfKDz2T3vfFr5516XFyyFYr5Z/8S0788L9o/P73zvo817yFeJatpucsZQ/ZZid442cY+PG3sIYr0YrDsx6XVA3HeR9j6g8/RQ1VIrunO7ayP4TsD5Fp24c2RzQYJVlBLq0XMpt1OYlUZwBGuzCcueWhokEmDYqGLMukUilUVTVZHrqumyUPEO4tY2NjJs1teHgYv99PQUEBg4ODhMNhiouL6e7upqqqivLycg4cmNZRXrBgwSx2xp8aa9eu5ZlnnjFBurGxke9973vceOONSJJEY2MjBw8epLa2lvr6erZs2cLChQupqKhg8+bN1NXVmTS94eFhE9gHBwcpKSnB5XIxNjbG1NQULpfLNAnQdeFvJykqhuyEVFzUqjW7YM4EwmLCc3IY+lsxHF5weJG8xci+EIaexZgYwhgXgI3NKQR6HB6USD1K1SLQs+hjAxhj/WR7jpE+tBUkCdlbhOwJopXNwdKwXIwdxybIDnWTHeohdXAb2aEeUBQUfzFKIIQ2p1ZohXgK0FMpMgM9pPu7SbY1E93xOumBHmSHC62oFDUYwlVVjq+pCcUbQHZ5yESjpAf6SQ30kRroI3pwb+52P4rdgVZYhFYQRPMHUT1erLVlqEsbUd0eFKcbxSmEpXTdIDMxQWZsjPT4hADZqTzQCrBN9vaRTSZB1zGyWZFd6zrkbkualgN0AeqWgiBKmR3FbscWCmGvrEDL0UVPDsMw0KeipAYHSA31kx4aINbSTOzoYco+98+45s0Wyc9OjjP2yq+RbXZcq6Y7otnhXtIn3sP2kb8HQB/tw8ikRJMQMHJUVyBntyVWnxi6oHMa0/tzcgZ9JrA+HUjP1ISH/5lyB8Dq1av5xje+wZEjR84oG3y2+FBB2h4pQbFamWxuxfNH8DNDV11J91O/ZPjNLQTPXX/2bf/8k7R+8Q5Gt7yK/5wLT7uNJVSG77KPM/jEg4Q++x/I1tncRqWgBGvjOcTefBbnZbfOao5odStJbnsWtWzutIaHpxD6WjCiI0juAiSLHUPRzKEM0UBMmEur/EEjy7L5xVutVrLZLOl0Go/HQ2dnpxhL9vtN8C4sLDRZEnnXlKqqKiKRCC+9NG0pVVlZydDQELFYzFSf+1NiyZIl3H///eaQSigUwmaz0dLSwpw5c1iwYAGbN282jQAURaGjo4OKigoikQjNzc0maB87dgyv10tBQQEdHR2m87jX6zWdzp1Op9mNTyaTaJo4qWFxiIwpOYUhy8J1WrEg+UtFfXJqBEa6wchiWBxgdSK5/EjeIsGpjY3D1BjGaC96dzMYutAIcXiRC0pQSmvF85IxjPEB9Ilh9K4jGNFRjGRM1EJdPhSvD620Ugj7ANmJEYyxQbKD3aRb9qFPDGOkkshuH4rLj1ZWgjx3HpLLi6FLZGNTpMdGyY6PkGxvITs2TGZsGD0ZR3H7hMSu24etoQ5lxQoUtxckBT2dJhuPk4lOkZ2aJHX8GNnJcTKTE2SjUbJTUbKxKdCzKA4XisuFbBfTfLLNnru2YrHbkP1+ZM0imoj5i6IhqUquXi0BBoaBAL3ctWEYZAa7GO88RjYRR4/H0ZNx9ESCbDxGZniI1JAwBLYEi8WJJViEo6aO8F/9HYrDSWZ8lFRHC8mOVpIdLaQHenEuXEHB9X8Dhk6q7RCpQ2+jT45iW7YByeEmc+IAmdY9aPMFi0Qf7sSIjgo3l+gI6Bkx1JIRvpcGEpmMGJRKpVKmGmWeUTQ2NjZLHriysnKWxszAwIBJpRsdHTWb4fn7J/OXTwfc7xf9/f0mm+tPiQ8VpCVJovjCc+h79c0/CqRlTaP2n+7k6Fe/hn/lijMuq0DoBJTf/q8c/8q/Ya+uwxY+vROJa+k6ku3HGHn2pxT8+W2nnF0tC9aS7jhC6r1tWBtncKTtLpTIXDLHdgpNidz7kgvKMIY6wS060zj9QjTILmQyjZxtFKoAnnzJI7/Mt1qtptN2foQ0mUzi8/k4fPgwIOytOjs7AeGikqcNFRUVMTg4aJYKFEUhEomYzcU/NTRN4+KLL2bTpk3ceuutSJLEmjVr2Lp1K3PmzMHlclFTU8P+/ftZsWIFTU1N7Nmzh/Lycurq6njjjTfMenQwGKStrY05c+aYJRBJkkzp1ZlArWma2WTNDxLImlU0YbMZUa9OJ8SJUNWQvMXgLRY+k8kpSMaEYbAEWJxi5NwXEpogsoKRTmDEJjDiExhjfeiJKZGtW2xIVheyx49UFEGyODBUC0YyDrFxjOgo2aFOjKmDGDHhQiM5PKguN1JRqSixWGwYWR09mcCYGkePjqL3taFPjgqfTcNAdXqxFHiQKkqRnV5RZjFk9GxWAHIsjh4dJ93fRXZyHD06QXZqEj0mqGmy043mciMXVyDbneZF0oQLuyFJuQk8MLI6hp5Fz2QxUin0RBw9ncKIxzAyGYxsRlznLgKVJZAlpNw1iOEs2WJFttmQ7XYshUXIVjuy3Y5ss6MFCrAEi0BVxf5GxX5nRocZ/c1jJDtaMdIpLOU1WMtr8W34KJayakgnSTXvJNX8LrI3iHX+atSKuUKrZdcfMNIJLKuvRbLY0Nv3YySnUKqXiGMgOiystgxdgLTNiaFPD7KMj4/jcrlMnXOXy0VzczPFxcWMjY0hScIYOi8UBnD8+HHOPfdcADo6Orj22mlRuLyI2MzImzH/MfHd736XG2644ay67meLD93ArfjC9bT84FHqPvvBiNv58C9fhmf+fDof/RmVf/ups25rK68idMMtdPzn16i957vI1tODeuCqT9D3g68S3bYJ99qLZz0myTKOc68j+vzDqOFalMB0vUytXkxyyy9RJoaRPbkJIn8Jel8LRiouQMHmgfF+jHRS/HgUDfQ0oM1ieeRLHiBsp+LxOB6PB7fbzeTkJMFgkGw2SyKRoKCggL17hbFqSUkJb7zxBiDs5j0eD0NDQ+YXX1lZSXt7+38LpEHwrh988EGTaL9q1Sruuusuc5m3dOlS/vCHP7B8+XKqqqp499136e7uJhKJ0NDQwIEDB1i3bh1lZWUcOHDALHuUlZWZJ5w8UOcFplwul1mzz2azpFIpUzlQUgUwiyV6SpRByJWUZEW45Th8YnmbSTUrY+AAACAASURBVEFqSrBFYmOQSYqTpWpF0mxiBRQI5xpPkqh/J6KQmMKYGEJPxoTKoWEIponVjlJYhhSpExRBScFIpyAZFaA/1o8en8SIRzESU6BZxZh6sBiprAbJ5srtu4GRSWOkEhixSfShHjFRF5vEiE1CMo5ic6A63Mi+EJK9BsnmFPIEigqGhJ4VTUA9nUFPxjEScbJjQ+jxGNnYFEYiJk4UyQR6KoGRSgqlOKsN2WJD0jRkVRMNRFUDq4ak2nICYTl6Wt44WMqt/vSs2O/4KEZ0ULjBZzMY6TT61CTZ6Lhw+XZ5UdweFLcXxePHVr8Q78UfQQ0WQzZNdnQAfbiXxFu/Jt3dgqV6ofBEDBRjpBJku5rJtO5GCdeh1S4T/odH94geQ/kC8b2OdEKgTHznyZhgeiCRTos+TTKZNI+hnp4e/H4/qVSKqakp6uvrOXz4MKWlpRiGQXt7O8uWLSOZTNLf328ypKLRKEVFgq47NTXF1NTUKYwpj8dj+pV+kNi5cyeHDx/m7rvv/pN/kx86SBeuXcG7t/0T6YlJNM+pzb2zRfXtf8+uT9xM8eWXYS8/u/25//xLmDp8gJ5Hf0Dk03ecdhtJ0yj8i8/S9/BXsEQqsVbMmfW47PZjW34psTeexnXNbeZIuKRZUGuayDTvwLJcUIYkRRVAPdyFUjJHHNQOn9C+9YbEjytX8siXO/LGtLquo+s6drvdPCvnQbqwsNBkRhQVFTE5OUk6naagoIBoNGqCZd6fMA/SFRUVtOeaPO8X0WiU0dHR0/of1tXVMTg4yMjIiMnjrq2tZffu3axZs4bKykqy2azpJtPU1MTu3buJRCJmNp8vgdTU1NDc3IzH48FisRCJROjq6kKSJPx+Pz6fj8nJSYaHh3G5XFitVlRVNU9qyWTS1D+RZRlJs2Hk3NrRM2JwSM9iSLL48eZAG4d/ui6ZTYs6ZiYpdEKmUuZSGUUT8rR2lzDHVTQTFMkkREadioksOtWPkUqIKcmceYHs9kEgJPZLsyAZUg7EkoLhE5sQuuSJKYxkDJJx0KwoVgdSsAjJUglWe84BSBZgns1gZFIYSWHUaySmMOJT6PnbyThkM0ICwepActuRgiEhyTvjYrrgSJI4qZH7PIzcsajrGNkMkm6AYQiuer7Om6/tyrLg/6uqON7NkomG7HSL8oyiitmAZFychOJRsqP9pA+8QWKkDz06juwNohSEUEqqsK+7FlQNfaCD1O6X0Ue6kYNlWBZfJIw4eo9ijPcjly1AdheI8tZIF3hLxIkyKU6GUk5POl9OzJc3ksmkqXXe1dVFYWGhKaq0evVqent78Xg8ZpYdDofRNI1jx45RVlYmym1AZ2cn4XDYvJ+Pmd6e7xfHjx/nrrvu4p/+6Z9OW8eOxz+Yc/2HDtKq00FgRRMDb24nfOWGP+q51qJCym6+iZZvf4cF3/vOWZuIkiRR+ld/J+rTmzfhP/f0IjJqoJCCj97K0JMPE/q7/3eK/rQ2p4l0xxESuzZhXzE9oq6UzSPb/h7ZwU6UQgFucrCMbMs7GMXVonPu9MPAcQx3oVhmn8Ty0HUdVVVnlTwymQyZTMYcpwZMkA6FQvj9fkZGRiguLjYNYSsrK02n8XxUVFSwa9euD/S53nvvvQwODvLQQw+d8piiKCxatIjdu3dz0UXiM1y7di2bNm1izZo1SJLEkiVL2LVrlzkyvmvXLnp6eigtLWXBggXs2LHDbBQWFRXR2tpKQ0ODaZCbB2qfz4fX6yWVShGNRonH47hcLjRNw2KxmCezTCZj1vQFaCvTmip5YNGz4pJJiZoq+cxQFoCl2cRSXpIBaXrJnE2L63RC9BSy6ZzsrDQNUNaAAKN89m4A2YxgnqSTApRj4+i5+6YiompF9gYhGAbVKko1SCZA5v+vAPN4Dshj4mSgZwWF0GJHKgiCJSK4+blVmihxiPchGoIiwyWdFICeGoZUUpR60knxWCYlTgCZtGhsG4Z4f/kTXP5zzd02clUUUUfJXXK3jRwwo+tIVru4WGxIVgeyvwi1vAHr4vOQfbnfgp7FGB8kc2wn2b7jSK4ASngOWuN5SJoFIzYhBpZsLpS6NYI1lZgUUgHuoBgDT8XFPqpixZXNZrFarcTjcbMx39PTY9Z+BwcHmTdvHkNDQ9hsNlwuF/v27TPrzq2trabTeL4Pk4/Ozs7TJjEfNJPet28fd955J3fccQfnn3/q2OjOnTvP6E5+cvyv+NWHLlxP7x9e+6NBGiB8w/X0/+53DL78CkWXnP35is1O+R1f4Pg9/4Ktogp7Zc1pt7M3LMK5ZB1DTz5M0a13zhZakiTsa68h+psH0MrqUUtE7UqSZdT6FWSadyAHI2KCyepEsnkwxvqF1ZaiYVidEJ8QgJ33RsyxPPK84DyrwWazmXVpp9NJIpEgk8ng8/nMoZaCggKGh4dNkO7t7aUy50nY2tpq7ne+3PF+0dnZyebNm00a0smZAsDSpUt59913TZBubGzk5z//OX19fYRCIRYvXsz9999vThQuXryY3bt3U1JSgtfrNX0QFy9ebPKoW1paqKmpMYG6s7MTXdfx+/1YLBb8fj+JRGKWY42qivH6/ABM/oeZr13nsyhJkpBzE5/TnX0DdD2XGeqi9JTRp4Emt6wX4GvJ3c+DeC6yaZGxZ3PDFMmYuNbFfQkDZBXJagW7U4wpK4q4NnTQDVE3z2Zy2eZUDjCTAqBzJgiSakVyeZB8QXFCyZ8MQICwrovXyKQxMilIxATbJZ0D4ZS4jZ4B1YKsWsTrOO1IqmhkS/lVgqKJhqGiifcqTdegIUeUMAxRn5bIPSbnatW5a2n6BAYSkiHq4GTFCkdk/FNkOw+RbZkyVwSSw4tSUoN1zUfAYhc9gpEu9Ng4RmwMubQeyRsSq5fxPvH5+CM5MaU4YGCoNvTcMZAvj01NTeH3+80TfSgUYmBgAIfDgc1m4+DBg4TDYVKpFG1tbVxxxRVkMhmOHj3Kxz/+cQCOHj3KihUrzK/+6NGjVFScquCZ19s5cOCAqclxcrz22mt89atf5Z577jmtjPCJEyf4/ve/z8033zxLl+dM8b8C0pE/u4LD9z5IYmAQ24xx0Q8SsqpS/6X/4OAd/4C7cQH207iQzAxbWQWln7yN9m/fQ+1Xvofq9Z12O+9F1zL46HcYe/lZ/JddP/t/2p3Y11xNfMuvcX30782sTS6qhON70ftaUUpyAy4FYdFADOT2y+EVE4hOP8gapKfMLDBf8tA0zVzq2Gw2EokEbrcbu91uWlDlz9Yzm2xFRUX09PQAgvnx9tvTAlYFBQXEYrH3pQjt3LmT9evXc+DAAVMV7ORYuXIlP/nJT8zXUlWV9evX89prr3HjjTficDhobGxk69atbNiwgbq6Ovbv309bWxvV1dXMnTuXLVu20NXVZdaqW1paOHToEPX19WiaRllZGT09PSSTSYLBIJqmYbfbzcxodHTUzKg1TTPtuGCaaqXrunmd77jnQXv6ooA07eBuxoylPYbONKinZ2eNSALEVet0Fp4HdAMwsrnnZXMAnhGAkgMsKV+aMcjVgu3TpRlJyb2OYTIqxGtkp8E9kxa1+KzIfqWsaPZJmgY2GyhBcXwq2vTrzXiP0ysNw9xXI5MSpZdsRoDrjIt5P5vltBl07vbM7BtZyXGwldxJyyFq6k6/KOeoFvHeMymMqTGynQenVQ8dPiS/ENUiFYPB4+JzdvrBVir2OREFRcXQbOaqKg/Q4+PjJnD29/dTWlrK2NgY3d3dzJs3j7a2NhKJBBUVFbz55ptUVFTg9/t54403CIVClJSU0NbWRldXl+lkNDAwwJYtW8640vzmN7/J5z//ee68804uvfTSGR+3weOPP86TTz7JAw88cFq63d69e/nWt77Fpz71KVMa+P3iQ3FmOTmsBX4i11zG8Z8+9Sc93z23gbK/vIkj/34X+knk8tOFb/W5+M65gPbvfgX9DHQZSZYp+PjfEtv/DvHm/ac8rlXMRfYGSTVPlxAkSUKds5zMsV0iuwExxpyIiqUqgMUplrB6VlD5JLEkzWd++ZJHfimfB2mYdm6x2WyzDDbHxsYATBeUk2/n9y0/Sn622LVrF0uWLGHFihWzQH7W5+fzUV9fz86dO82/nXfeebzzzjtMTU0BQpdg7969RKNRZFlm/fr1bN261fQ3XLp0KYcOHWJychJZlpkzZw5er5eDBw8Si8VMoFZVlfb2dnp7e0kkEsiyjNPppKCgwDQMmJiYYGhoiLGxMWKxmGnJlS8dWSwWbDYbVqvVZIrkM+psNksmkzFr3PlLKp0mlcmS1g0yyGRQyMoaWcWKrtnRLQ50ixPD6sDQbBjKdI1XAHoOfPUsII4FlNz0pM0DrgB4isEfhmCluAQi4CkCh1+Mw6va9OsZOpKeQTKySGSRJQNZkZHtDhR3AUogjBKqRimbi1I2H6W0HqW4BqUgIrTOnT4kuxPJkmtay+J1JSODlE1BNiFs3jJxpEwcKRtH0pPIsoGsqYLC5/ai+ApRgqWoJRWopdWokVrU8nrU8rmolQvQqhei1SxGrWpELW9ADdeillShFEVQAiEUbwBJVSAxIZp9fccw+o6JJvv4AJLFjlLagFK/BiXcgOzyIWWSMNwhVgO+UigoF+Wp1JQ4kWg2dMViUuzySc7Y2Bgul4t0Ok1/fz/hcJhEIkFbWxv19fXE43FaWlpYunQpJ06cYGBggFWrVjE0NMQ777zD5ZdfjmEYPPfcc1x55ZWmYfMvfvELLrvssjNS5s455xwefvhhHnzwQX7wgx+YScJXv/pVXnzxRR599NHTAvSmTZu49957+cIXvvBHDZ79r2TSADWfuok3r7mZ+r//GxT7H0cGBwjf8HFG33mX9h/+iKrP3va+2xdf9wk6vvc1eh55kPCnbj9tPVtxugh85JOMPPdTSu645xT+tHXJhcQ2PSEmoXITh3JBGKwOsj3HUHO605K/BH20ByVUiyTLGHmNAbtHLH2zGZAVE6TzzIW81nIiIRqMTqfT9AzMNxJ9Pp+ZSc+02fL7/UxOTk6PViMy7Xy3+nRhGAa7d+/m05/+NB6Ph+eee46bb775tNuuX7+ezZs3my4wXq+XRYsWsWXLFi699FLcbjcLFy7krbfe4tJLLyUUCjFnzhzeeustLrroItPkMy+jmlcVs9lsHDp0iNraWnw+H4WFhaY6WU9PDxaLhUAggN1ux2azmauCfJkjlUoRj8dNSmO+sTizwZgvg8wsh8ycSMtfz7w98zqfoc/8Wz6kXHlAkuRcJUCa8ffcNrnpCmlGJprHYvK1ckMSma9imM8yM/QZ5YeZWex05p/L3vWsyNDz9m65xF+SAUPsH1KurJGvz+cv+fv5/z19kOReyjBvM7Mu/f/bO/P4qMp7/7/PTDJLMjPZF8hCQHYCiQEMiyCQWBZX4OWFqoCKiNdrtbeVeysoar0ColYWrVRsRSxSbhXQFxJBkLQVEQirIEQI/UHYsk+SyWSb5ffHyfNwZjJZSlvxlvm8XueVMzNnzjznZObzfJ/v8vkqV45pNd6WlYZOH+J7fjFet0v1/deWqL+LUJO6WWLUv163unJorldXLyYLoOBqbsbrdcmc+qqqKvR6PdHR0dTV1VFWVkZycjJOp5MzZ87I1drXX39NZmYmHo+H3bt3M3HiREJCQtiyZQu33HILNpuN48ePY7fbGTlSrUY+d+4c+/bt69Bf3KtXL9577z1+/vOfS8PDarXyzjvvEB7u243K6/Wyfv16duzYweLFi0lNTaW5uVmuijvC92JJA1h7dic6628vExdQdDr6LFxASd5nVO3d16njkx/7OfVnTlGR17ZKnLnXAEw9+2P/7MNWr4XEJaGP7UrTySsWpaIohPYagvvMoSti49FJeCsvXvlBmyzqEg3UJaBHtf79dQJEtxKhtSxKxUH1fdXU1GCxWGhqaqKpqUkWqtTV1aHX62UPNwGhnNcWLl68iNvtJiUlhSFDhnDkyBGampoCHjt8+HCOHDkixwMwbtw48vPzZYXWyJEjOXLkiHTNDBkyhIqKCs6cOQOoMpA2m41jx47JexMXF0fv3r0pKiqSYxU/uO7du2O1WiktLeXcuXPY7Xbq6+vlxGYymbDZbMTExBAXF0dUVBTh4eEYjUYURZGpi3V1ddTW1lJVVUVFRQVlZWWUlpZSXl5OZWUlVVVVVFdXU1tbi8PhwOl0Ul9fL61sl8uF2+326fvY1oQgJgCtC8bt8eJye2h2e2lye2nyQKMbGj0KTehpIoRmnYFmvRFXiLllM+HWG1RrXheCR9HhURS8ig4verVkXhdyxYcealSLfozhqjEQFqUG2GwJENVVTVeL6aYqC0YlqRlH1jjVwg+LULvihPpmgahQJwHF41I3dzOKpwnF3YTibkRpbkBxtWzN9ShNTpSmOpRGB0pDDUpDtZr+6LSrAv0NDtVC9nrUz7LGQvwNar6zNU4dP6iuDo+qhug1hONW9DQ1NctO4CEhITgcDmpqaggPD5dZFlqCFq3dzGazDGzHxsbK5rNxcXEUFBTgdrsZOnQoHo+HTZs2cffdd6tdg4C1a9cydepULJbWTUX8ER0dzapVq0hKSiIzM5PXXnutFUE3NzezbNky9u3bx2uvvSbT/ZYvX87u3bs7/Az4Hi1pgJ5zZ3Hk6f8h7d6pAbt+dwRDdDR9nn+Wwud+SdbadzG0dD1oC3qTmW5PLaRo4c8wpXTDMvDGgMdFTZrGpWXP0DAoG1N3Xx+tKSuHum3vYeg7RHYTV6IS1eh31SU1YGi2qvmwLRWIGC1qQwCvt0Xztr5VKl5oaKgkQK1fWpCSqJYS6WqVlZUkJibKKkSLxUJsbCxlZWUyt7Mjd8eBAwcYPHgwiqJ29+7evTtHjx5lyJAhrY61WCwMHDiQr7/+mnHjVA2Fbt26ERkZKTuYW61WMjMz+fLLL6WVcsstt/D555/L5p4DBw5kz549HD58WLYsstlsDBgwgJMnT1JXV0dSUpIk2oiICGw2m8xbra6u9imrNxqN0q0hCDO0A/Egfwu5o83tdnfqOAjkA+/cFlBjwqecGWTanPoiwuKV8ps6jfWuXDlKPkeL//jKnUBRvL6WMZrHmneiGdOV57SfoPh+mM8D7Tn9Ps/rUa1pRaeuJHT6lmwV1YDxuD14PC4ZMFYUhaamJqqrqzEajURHR+Nyubhw4QIej4eUlBTq6up8CLqgoACTyUTv3r05cuQIABkZGVRVVZGfn8+DDz6ITqdj//79MlsJ4NSpU5w6dYp58+bRWRiNRp5++umArzkcDhYvXozBYGDJkiWy5+LKlSsZNGgQw4YNY9WqVR1+xvdK0rEjb0IfZqb4oy2k3nPnVZ0jasgQEu+6k2+ffoZBbyz3EW8JBENcAin/MY/iN1+l5+IVhEa29jPpzOFE3TlDdXs8+csrvQxRS8b1Cd1oOlmAMV2N1CqKorZ0uvAdupaAoS6qK96qi2CNQQkxqOl3zQ1qybgmFU9Y00K8xev1SpKOiIiQwUOr1epT/CFIOiYmhvLyctLS0oiJifGxpOPj46UVGwgnTpzwiUjffPPNbN++PSBJg+qH/uyzzyRJA+Tk5MiWQ6Ba07/+9a8ZPnw4kZGR0u2Rn5/P+PHjCQkJYcSIERw6dIg9e/aQlZUlo+7p6emcP3+eb775RqbrRUZGotPpZINeUElW61OuqanB5XKpVmuLxSusXa2FK/5Xbe37/w10rMwe8XOdiKwY//OIff+JIdAE4f8cEPBz2iJ632vSZGe0ICDRezXjVQKPHzR8LDM9vCh+xKv4E7P23QpX3B2Koo5FUeSUIa/b48XrdeP1uuSkK1yBTqdT+qGF8H5paSkOh0NKDFy+fJmLFy/Sp08fdDodX331FRaLhYyMDIqKivjmm2+YPHkydXV1fPDBB4wePZrY2FhKS0v54x//yOzZs1EUhebmZlatWsU999wjfdN/D5qbm/nlL39JWloac+fORa/XU1FRwWuvvcbEiRMZM2YM58+f79S5vleSVhSFzJcXsuf+x0gYezPG2KurZe/28EPUFRVxaslSej+7oF0rCsCSnkl0zgSK33iF7vP/50rHbw3CBmRRd/BLav60lYgcX0lB46DROHd+gKHfTTLTQ9+lB427DxHSIvCvRCbiKSmSgv8YwtUlnMHc4pd2+6SIieCWx+ORbX9AtapFFaII0gmVPMAnkCjyqQW0rwVCeXm5bLQJqtbtlClTmDNnDnFxrbNuhg8fzttvv+2TQ5qVlcWmTZs4deqULBUfOnQou3btYvLkyQAMHTqULVu2cOjQIbKystDr9QwePJgzZ86we/duMjIyiI+PJyQkhLS0NFJSUqisrOTSpUtSmzouLk7q7yqKgsFgwGAwyBJ6LbQWsJb4tK+15X/u6NjOkGtbRKydOLSEq51MxHPi++BPwuL6tauwQOPQ+tHbmlTaInqReaQlbFXCQ9wHj8+91tz5Vv8LX99/4NcDjcvj8dDU1ITT6aS5uVmunGw2G16vl4qKChwOB5GRkaSlpVFXV8fJkyfxeDwMHDiQ8vJyjh8/Tu/evenWrRuFhYUUFBRw22234Xa7Wbt2LZmZmWRnZ1NTU8Py5cuZNGkSffr0AeDtt98mKirq727qLCB8048++ig6nQ6Hw8Hy5cu59dZbGTNmDJWVlT4dltrD90rSAFGZ6aRMvZ2jC5cw9NdLr+ocik5H3+cXcviRRzn/+3WkzLi/w/fET/kxf31pAWWb/5f4Ka17HwJE3XEfl1c+T1hGNqGxmrLwuCR0thiazxzF0EtdGikmi9rJuPy82tU61AgmK97aClXoxxgGzmo1KNJiVQNSxwOuSCMajUaamprwer0ybzo2NhavV+2FGBkZKQtXIiMjOXXqlNw/d+6cHKc2yBgIQuRIXm9UFLfddhvvv/++T+cIgdDQUCZMmMCWLVt47LHHANV/PGHCBPLy8ujVS63YHDFiBG+88YYkc71eT25uLps2bSIuLo6UlBQUReGGG24gMjKSQ4cOkZKSQu/evSVBCWKur6+ntLSUb7/9ltDQUIxGoyRosW80GqUPUQtxrkCkKbJp2iPbQMFC7b6W1Pwft0WA/u/VujnEY+0E479pxx5oxdDW1l7AVHttge5VoGtq7xrbu15/aFc/2n1QXQcmkwmr1YrL5cLpdMq4hCDnmpoaTpw4gdvtpmvXrkRFRfHtt99SWVlJdnY2YWFh/OlPf+Ly5cvcfvvteDwe1qxZQ3Z2NsOGDcPpdLJ8+XKys7NlhsW2bds4evQor7/+esC6AUBa9tpWWm1h586dHDx4UJ6vsbGRN954g4yMDHJzc6mqqmLt2rVygugI3ztJA/T7r8fZOeZuSvJ3kzCmtcZzZ6A3m0l/9RUOzZ6DOTWF2BaRlLag6PSk/Mc8Ti94gvB+6YT3a52IHhIZg23M7VRufp/42U/5fNGMg0bRsDeP0J6ZKC3LOH1iD9yXi2QvRF1kAl57CUTEq0Ed+6UWv7Re5sEKqwGuiIobjUZZ7GI2m6moqEBRFJmSp7Wktdaz8A8L+FvW/gjUvWXGjBlMnz6dBx98MGBjzYkTJ/LYY48xa9YsGRQZPnw4W7ZskVVZRqOR2267jc2bNzN37lyMRiPh4eHk5OSwY8cO7r77bmkBx8TEMGrUKA4ePMjevXu58cYbfZaXZrOZbt26kZKSIpe7TU1NNDY24nQ6pXiOmOgCIZAFGyjjIxDxiPdrzwVtk1xbW1sThD8Jt0W6/kFKUdjTVuaKlvyFT92fEMVjr9frc+5A+/5uHe3niWtvy8ffFkGL84k4gtgHtcFrfX09FRUV1NfXo9frCQsLw2q1Eh8fT1VVFceOHUOv15OUlCSzm7766itsNhujRo2isrKSvLw8unTpwtSpU6murub9999n1KhRDBkyBKfTybJly+jVqxd33HEHAIWFhaxZs4alS5e2qyD55ptvcvHiRZYubd+wPH36NO+88w5LlizBYrHgdrtZvXo18fHxTJ48GbvdznvvvcfIkSNl38OOcE1IOiQ8jIzFz3DkFy+Ss2vzVaXkARgT4hmwdDHH/vMpTF26YAlQmKFFaHQMyXN/SvEbr9Bz8UpCbK1nReuIXOoOfYXz8B7Cb7xSLRSS1BP0elzF3xGaqooY6RN74DpVoGog6ENQIhLwXDqtujz0Iapqm49f2i1dLV6vquMhcqRF1xaz2dwqb7pLly44HA7cbrePtexPyiLwKFtTaSCWjDF+wdaEhARyc3NZv369tJa1iImJISsri507d0qd6dDQUHJzc8nLy+ORR1Txq759+1JYWMi2bdvkcV26dCEzM5Pt27czceJE+SMwGo0MGzaMwsJC8vPziY2NJT4+nvj4eEnYwi/9z4I2f1r8FSQmNi3JCVICWlmd/vC3MIWfNdAEobXKA00OYl98lv+4tOPVboIAxSY0UcTftqxuYUT4W7pasgcCWu6B4gH+1xBorF6vGkgXpJyQkIDX65WB49OnT8tOQVarlYqKCvbv34/dbqdv374kJSVx9OhRjh07xsiRI+nRoweXL19m3bp15OTkkJmZSUNDAytWrCAtLY1p06ahKAp2u53FixfzxBNPBCwBF6itrWXjxo1S3rQtVFdX89JLL/HYY4/RrVs3vF4v69atw+12M3PmTGpqanjvvfcYMWIEGRkZHDp0qN3zCVwTkgZIzB3N2T9s4uTrqxgwP7AgUmdg7d+fnvN+zvGn/pvM363G2EGfP2vmUCJG3ML5t35Ft3nPtcoyUfR6oifPouz9FZj6DEIfdqUtvXHgKBqP/lmStGIMQ2eLxVNejD6hO0qoEcWscXm0NFpV/dIieBgifwjaThBCyUuUR3s8HknSer1e5lBHRETQ0NBAc3Oz7B0ooNPpfBrbauF0OlEUJaC1MGvWLGbOnMmMGTMC+nxvv/12li1bxu233y5JZfTo0Xz22WeUlJRIZeaaSQAAEeBJREFUkacJEybwm9/8hpMnT0o1vvT0dBobG9m4cSNjxowhOTlZ3s++ffuSlpZGaWkpJSUlHD9+XAYQExISsNlsHcYbAOnPFBZ3Q0ODtLhFbrXYBCkLYhAFMYK8tBas9rE228DfytSiPUvbv0LS36r2dwP4TxZiPxDpiopMg8HgQ8Tav2LMYgyNjY1ystJuQgJXnFO7GQwGn3ujvT8d+f8B6arSbl6vVwaES0pKcDgcuFwuGTzu3bs3YWFhnD9/XqpCdu/encGDB1NfX8/WrVsBmDx5MhaLhWPHjpGXl8fEiRNJT0+noaGB5cuXk5yczPTp02WgcMmSJeTk5DB8+PA2v1sul4vf/va3jBo1ivz8fNlbNNB3cOnSpYwaNUrWFnz++eecPXuWefPmUV9fz9q1a8nOziYrK4tPP/20zUneH9eMpAEyXppP/sTpRAzoS/JdEzp+QxuIy83BefYc3/7302S89WaHGR+J02ZR9MI8Kj77hNhJd7d63ZjSg7D+WdTs/ISoO+6Vz4d2H0DD/m24yy+gj1U7vOgSuuMuOYs+oUXjIyIBb02Z6vIwhqm5osSowUNXo/qeli+08J96PB7ZWkurOR0eHi5Fl0ReaGRkpMyhjoqKoq6uzqegpS2SrqmpaSVgLpCcnMz48eNZtGgRixYtakWM/fv3x2w2c/DgQZkJYjKZGDt2LFu3buXBBx9U75vRyOTJk9mwYQNdu3aVJDtkyBC6dOnCrl276Nu3L1lZWZLgTCYTqamppKam4vF4qKyspKSkhAMHDsjqRX/SFPdNELHL5ZJ+a231ocFgkB1gtCXmYqnd3gTgcrloaGiQ+dPNzc0BN5FlEsiX7L/01+635dYQ/3+z2RyQJP0tYUVRJIFriVaMr76+Xk5eYqIS3zdtSqMQIBKPhUtCZNb4V25qP0N8phh7IBeK+H+LoiTxVxgpQn43IiKC5ORkTCa1R6jL5aK4uJiioiIsFgv9+/eX3+0zZ87w1VdfkZ6eTkZGBm63m08++YSzZ89y33330bVrVxwOBytWrCA1NZV7770XnU5HQ0MDL730EjabjXvvvZdAqK2tZdOmTWzYsIHExEReeOEFTp48SUlJSUCSPn36NKWlpVKStLa2lq1bt/Lss89iMpnYtm0bffv2ZdiwYRQUFGA2mzvdpaVTJL1o0SKOHDmCoijMnz+fQYMGdfymTsCUEMfw99/ky3+bgyk+ltjhgVPBOoPUhx6g7rtTnH71V/Se/4t2j1VCQkh9/L84/ex/Et5vIOburYWYInLv5uJrT2O7ZRJ6m7rMUXR6DH2H0nhyP2E3t5B0XAquooPyB6lYIvFUqKlzhJqguqW4RKdTtRG8vvmxISEhuN1un44PJpOJxsZGmekBV1wfoLo1RBqSECEXbgztcVqI3opt4cknn2TWrFls2rSJKVOm+N4vReGuu+7i448/9knXy8nJ4ZlnnvGxplNSUsjOzuajjz5i1qxZ8seZlJTElClT+OKLL9i6dSvjxo1rZdXrdDpiY2OJjY2lf//+rZbFWotSp9NJkukoT1oLYbXV1tb6bEKcp6GhgYaGBtxut0/VoyB37SakVdsK3vl/rvZvW1a0uL7GxkY5AWs37epA28xXS7j+m8ViIS4uTgp6GQwGGZTWlso7HA4qKip8ViOiiMh/s1qtcjIUOe5ijIF84WLiCjTpaCdModsiNqGxPnjwYKKionC73RQWFnL06FFCQkK49dZbpaDShx9+SGJiIo888ghGoxG73c6yZctIT09n6tSpKIqC0+nkhRdeID4+np/+9KetAtDFxcWsX7+evLw8Ro4cySuvvCJ7iYaHh7cpL1pQUEB2drY8X35+PllZWcTExGC32yksLOQnP/kJtbW1HD9+nKlTp7YbP9KiQ5Let28fZ8+eZcOGDRQVFTF//nw2bNjQqZN3BhED+jL0raXsm/Mzbv7od9j6dL6DixaKotB74QIOz36Eixs303VKawtZC0NCF7rMnEvxGy/Tc9GKVo0C9BYbYQOH4jjwFyLG3nHlfb0HU/vRcrw3TVClJMNsKKFGvDXlKBFxarVhc4MqkKMPBVQlNEXKS6rKc4KQRY81g8Egn9N2FRdfCovFgsPhaLUfHR2N3W73IWnxmhZOp9Onpbw/TCYTS5Ys4eGHH2bQoEGtxF9Gjx7Nu+++y9mzZ6U6WFhYGOPGjWPLli3Mnj1bHjty5Ej++te/8uc//1lG0MXxkyZN4uDBg2zcuJGxY8eSlOTbc1JATGBihfC3QojviB+73W7HbrdLLRGLxYLVasVqtRIZGUlycjJms1kSc3vE73a7qa+vl6QuSFNrcYvgpn/AUOvbbitVTutqEAJXWneD1goWJCdakGkJVptXLsYqxu31qvn5YWFhhIWFER4e7uMTFo8VRaGxsdFnArPb7a3cSv6FRmIT7iRhYYsAsP8ELMjZ5XLJphD9+vUjMjJStsY6fPgwx44dIzo6mpEjR9K1RWzt0KFD7Nixg9zcXDIzM1EUhfLycl5//XVGjBjBpEmTJEEvXLiQ1NRUHn/88VYT6caNG3nzzTflalAUiWm/v9oKXC3279/PAw88AKgdlvLz82VRzJdffklWVhZms5nPP/+c9PR0DAYDp0+f7tR3ucNfwJ49e6Rk5Q033EB1dTUOh+MfGtSJHz2c9OeeYs99/87oLeswJ8Z3/KYACAkPZ8DSJRx+ZC7hPW8gYlBgKUGBqJvHUrN/N+V5HxN/97RWr1uzx1D2+zew3XKb9F3rwqyEJvWk6fRhjP2Hqc/FpeApO4cuIk7N/DDb8DprVNHyUBM0NYC5RaXM41GDii3LYdH80mg0yh+yIOmYmBgaGxvxetXuJaLWX0vS/ml3FosloCVdX1/fLkmD6uebOXMmH3zwAQsXLvR5LTQ0lPHjx5OXl8ejjz4qnxfWtJAxBdUinjx5Mm+//TZpaWmkpaXJ43U6nY/7Izk5mR49evjkRf8tcLlc2O12H+vLbrfjcDgkAUdFRZGWlkZkZKRsQBAIHo+H2tpaLl26RHV1NXa7XZaPO51OuTU1NfkQutaNonWraH22gQJrbWWCCEta6yPWWtL+7gvRyUY7Ju0qICwsjLi4OMLDw7FYLLKU3u12y2uqq6vD6XRy6dIluS++Y+J94r2i2lU81unUZsuCtLXBWG3us7bdm3YLDQ2Vvufw8HB5fzweD3a7ne+++47CwkJSUlKYOHGiNEgaGxv59NNPuXz5Mg888IDM9T9x4gTvvvsuEyZMkIVYDoeDhQsX0rNnT5m7rMXWrVtZvXo1a9asaTOI2BZJV1VVSdU9UDmzR48eJCYmUlNTw/Hjx3n88ce5ePEiZWVljB07lm+//bbdDCUtOiTp8vJyBgwYIB9HR0dTVlb2D4+8p95zJ/UXL7Pn/n9n1Oa1hFraXpq3B3NqCr2fWcCJ+Qu48d3fYgxQpKFF4o8foujZnxE9dnwrWVNDUhp6SwQNhUcx98u88nzfodTv/UxD0qm4vttPSE+1UEQJi1C1C6wxqipac73ahVqnV3URlCuZFyEhIVKfQNuktrq6WlpUwqoW5GuxWAJKmYrXAlnS9fX1nWpSm5OTw0MPPYTH01prevz48TzxxBM88MADUvjIbDaTk5PDli1bePjhh+WxVquVu+66i02bNjF37txWny3cH2LpWl5ejsFgkPnScXFxsl+d1jIU+0KbQ+SuCjLu1asXUVFR2Gy2gLnUoOa8lpeXU1paKreysjIcDgdhYWGyGUFERASJiYkycCU24S/VQrgPtGTuT1jaff8gmzgHIMlLpDJqMzT83RrCqhYrMq2FL/adTqe8V6Lcvq6uDkVRsFgs2Gw22cLNZrORkJCA1WolIiICg8Eg3yO2Cxcu+JxH+P4FaWsnC+EWEW4W4erzv+6GhgYqKyspKiqisrKSyspKqXKXkpLClClTpC+4traWAwcOcODAAXr16sWcOXNkBe/mzZvZt28fs2bNkrxVW1vLs88+S79+/XjkkUda/e927tzJsmXLWLVqVbtZHm2R9IEDB8jIyCA0NBS328327dvlynL37t3ceOONmM1m8vLyGDZsmAyQijqDjvA3ryX9I5JiNtB2CblahE2ZSPOpU3y94jd0n/lvHb+hLaR1Q8kZy8F3ftupQpeGQUMo/GI7EUNbC3Q7bxhI1dGDWK1XAnFer4H66jrs/++MWgLu9dBcVkFo8TkURYfXoXbb0DUbVQnTJidKTVOLVq8LJcQoq6qEKFBtbS12u11aTpWVlZhMJrxeL+fOncPj8eBwODh//jwej4eamhrOnz8vfW+ixNRkMuF0OluVnAq/dWdKUVNSUjh8+HCr5R6o7bX27t3LDTdc8eP36dOH/Px8zpw542OlijZfO3bskPoI/hCE7PV6qa2tpbKyknPnznHo0CHq6+sDEpLRaCQiIoLU1FSsVmurH53oT+eP4uJivvjiCxwOBxEREcTGxhITE0NKSgqZmZlYrdY2ixkASXqgWk8bNmygrq5OPh8SEiI1sQUpabWw/f2wWmivQaSqCf+u9m+gjBWxAZIgzWYzN910U5v3XQQEnU6n9MnX1dVRUlIiH4vWbVarlV69ejF8+PBWwWfh4xfWtyhA0U6owk0igoSBrtlgMBAZGSknSKGSKCba6upqqqurOXv2LHl5efTu3Zvc3FxiYmKkUNeWLVuorKxk9uzZhIeHy+/6+vXrSU5OZtKkSVy4cKHV//RXv/oVzzzzDAaDod3fR1RUVMDf1smTJ+nTpw/nz5/n8uXLhIWFYTQaKS4u5vjx49x555188803NDQ0EBoaysGDB6W8A9ChRa14O8gDWblyJXFxcUyfPh1QLa2PP/5YWtIFBQXcd9997X5IEEEEEUQQgbFu3bo29XOgE5b0yJEjWblyJdOnT+f48ePEx8f7uDrS09NZt24dcXFxbS4vgwgiiCCC8IXb7aasrIz09PR2j+vQkgZ49dVXKSgoQFEUnnvuOVmoEEQQQQQRxD8XnSLpIIIIIoggrg3+rs4sixYtYtq0aUyfPt1H6Od6xXfffUdubi6///3vr/VQrimWLl3KtGnTmDp1Ktu3b7/Ww7lmqK+v58knn+T+++/nnnvuYdeuXdd6SNccDQ0N5ObmsnHjxms9lGuGvXv3MmzYMGbMmMGMGTN48cUX2z3+qsvC/9lFLv/X4HQ6efHFF9vVAbge8PXXX3Pq1Ck2bNhAVVUVkydP5kc/+tG1HtY1wa5du0hPT2fOnDlcuHCBhx56iLFjx17rYV1TvPXWW52S+/xXx0033cSKFSs6dexVk/T3UeTyfwkGg4HVq1ezevXqaz2Ua4qhQ4dK2QCbzSabxl6PQWWtgPylS5dk6fz1iqKiIk6fPu1ThRpEx7hqd0d5ebmP/rAocrleIUp4r3cIHWCADz/8kNGjR1+XBK3F9OnTeeqpp5g/f/61Hso1xcsvv8wvftG+rs71gtOnT/Poo4/y4x//uMOGtP8wFbxg/DEILXbs2MGHH37I7373u2s9lGuOP/zhD5w4cYJ58+bxySefdFoM6l8JmzdvJjMzs92KvusFaWlpPP7440ycOJHi4mJmzpzJ9u3b25QruGqSjo+PlxUzoDaIDNQnL4jrD3/5y19YtWoV77zzTkBZx+sFx44dIyYmhi5dutCvXz9ZSerfeOF6QH5+PsXFxeTn53P58mUMBgOJiYmMGNG6yvdfHQkJCdIVlpqaSmxsLCUlJW1OYFdN0h0VuQRxfaK2tpalS5eyZs2aDjtZ/KujoKCACxcusGDBAsrLy3E6nQFblF0PWLZsmdxfuXIlSUlJ1yVBA3zyySeUlZUxe/ZsysrKqKioaDdecdUknZWVxYABA2Sng+eee+5qT/UvgWPHjvHyyy9z4cIFQkJC2LZtGytXrrzuiGrr1q1UVVXx059e6bbz8ssvS1nJ6wnTp09nwYIF3HvvvTQ0NLBw4cJ2tUGCuD4wbtw4nnrqKXbu3ElzczPPP/98m64OCBazBBFEEEH8oBGc1oMIIoggfsAIknQQQQQRxA8YQZIOIogggvgBI0jSQQQRRBA/YARJOoggggjiB4wgSQcRRBBB/IARJOkggggiiB8wgiQdRBBBBPEDxv8HwAW0dCp0ZbEAAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.contour(X, Y, Z, 20, cmap='RdGy');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we chose the ``RdGy`` (short for *Red-Gray*) colormap, which is a good choice for centered data.\n", "Matplotlib has a wide range of colormaps available, which you can easily browse in IPython by doing a tab completion on the ``plt.cm`` module:\n", "```\n", "plt.cm.\n", "```\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Our plot is looking nicer, but the spaces between the lines may be a bit distracting.\n", "We can change this by switching to a filled contour plot using the ``plt.contourf()`` function (notice the ``f`` at the end), which uses largely the same syntax as ``plt.contour()``.\n", "\n", "Additionally, we'll add a ``plt.colorbar()`` command, which automatically creates an additional axis with labeled color information for the plot:" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.contourf(X, Y, Z, 20, cmap='RdGy')\n", "plt.colorbar(); # The colorbar makes it clear that the black regions \n", " # are \"peaks,\" while the red regions are \"valleys.\"" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "One potential issue with this plot is that it is a bit \"splotchy.\" That is, the color steps are discrete rather than continuous, which is not always what is desired.\n", "This could be remedied by setting the number of contours to a very high number, but this results in a rather inefficient plot: Matplotlib must render a new polygon for each step in the level.\n", "A better way to handle this is to use the ``plt.imshow()`` function, which interprets a two-dimensional grid of data as an image. The following code shows this:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(Z, extent=[0, 5, 0, 5], origin='lower', cmap='RdGy')\n", "plt.colorbar()\n", "plt.axis(aspect='image');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "There are a few potential gotchas with ``imshow()``, however:\n", "\n", "- ``plt.imshow()`` doesn't accept an *x* and *y* grid, so you must manually specify the *extent* [*xmin*, *xmax*, *ymin*, *ymax*] of the image on the plot.\n", "- ``plt.imshow()`` by default follows the standard image array definition where the origin is in the upper left, not in the lower left as in most contour plots. This must be changed when showing gridded data.\n", "- ``plt.imshow()`` will automatically adjust the axis aspect ratio to match the input data; this can be changed by setting, for example, ``plt.axis(aspect='image')`` to make *x* and *y* units match." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Finally, it can sometimes be useful to combine contour plots and image plots.\n", "For example, here we'll use a partially transparent background image (with transparency set via the ``alpha`` parameter) and overplot contours with labels on the contours themselves (using the ``plt.clabel()`` function):" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "contours = plt.contour(X, Y, Z, 3, colors='black')\n", "plt.clabel(contours, inline=True, fontsize=8)\n", "\n", "plt.imshow(Z, extent=[0, 5, 0, 5], origin='lower', cmap='RdGy', alpha=0.5)\n", "plt.colorbar();" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Histograms, Binnings, and Density\n", "\n", "A simple histogram can be a great first step in understanding a dataset.\n", "Earlier, we saw a preview of Matplotlib's histogram function (see [Comparisons, Masks, and Boolean Logic](02.06-Boolean-Arrays-and-Masks.ipynb)), which creates a basic histogram in one line, once the normal boiler-plate imports are done:" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "plt.style.use('seaborn-white')" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = np.random.randn(1000)\n", "plt.hist(data);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "The ``hist()`` function has many options to tune both the calculation and the display; \n", "here's an example of a more customized histogram:" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(data, bins=30, density=True, alpha=0.5,\n", " histtype='stepfilled', color='steelblue',\n", " edgecolor='none');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "The ``plt.hist`` docstring has more information on other customization options available.\n", "I find this combination of ``histtype='stepfilled'`` along with some transparency ``alpha`` to be very useful when comparing histograms of several distributions:" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x1 = np.random.normal(0, 0.8, 1000)\n", "x2 = np.random.normal(-2, 1, 1000)\n", "x3 = np.random.normal(3, 2, 1000)\n", "\n", "kwargs = dict(histtype='stepfilled', alpha=0.3, density=True, bins=40)\n", "\n", "plt.hist(x1, **kwargs)\n", "plt.hist(x2, **kwargs)\n", "plt.hist(x3, **kwargs);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "If you would like to simply compute the histogram (that is, count the number of points in a given bin) and not display it, the ``np.histogram()`` function is available:" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 54 262 462 203 19]\n" ] } ], "source": [ "counts, bin_edges = np.histogram(data, bins=5)\n", "print(counts)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Two-Dimensional Histograms and Binnings\n", "\n", "Just as we create histograms in one dimension by dividing the number-line into bins, we can also create histograms in two-dimensions by dividing points among two-dimensional bins.\n", "We'll take a brief look at several ways to do this here.\n", "We'll start by defining some data—an ``x`` and ``y`` array drawn from a multivariate Gaussian distribution:" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": [ "mean = [0, 0]\n", "cov = [[1, 1], [1, 2]]\n", "x, y = np.random.multivariate_normal(mean, cov, 10000).T" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### ``plt.hist2d``: Two-dimensional histogram\n", "\n", "One straightforward way to plot a two-dimensional histogram is to use Matplotlib's ``plt.hist2d`` function:" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist2d(x, y, bins=30, cmap='Blues')\n", "cb = plt.colorbar()\n", "cb.set_label('counts in bin')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Just as with ``plt.hist``, ``plt.hist2d`` has a number of extra options to fine-tune the plot and the binning, which are nicely outlined in the function docstring.\n", "Further, just as ``plt.hist`` has a counterpart in ``np.histogram``, ``plt.hist2d`` has a counterpart in ``np.histogram2d``, which can be used as follows:" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "counts, xedges, yedges = np.histogram2d(x, y, bins=30)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### ``plt.hexbin``: Hexagonal binnings\n", "\n", "The two-dimensional histogram creates a tesselation of squares across the axes.\n", "Another natural shape for such a tesselation is the regular hexagon.\n", "For this purpose, Matplotlib provides the ``plt.hexbin`` routine, which will represents a two-dimensional dataset binned within a grid of hexagons:" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hexbin(x, y, gridsize=30, cmap='Blues')\n", "cb = plt.colorbar(label='count in bin')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "``plt.hexbin`` has a number of interesting options, including the ability to specify weights for each point, and to change the output in each bin to any NumPy aggregate (mean of weights, standard deviation of weights, etc.)." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Kernel density estimation\n", "\n", "Another common method of evaluating densities in multiple dimensions is *kernel density estimation* (KDE).\n", "This will be discussed more fully in [In-Depth: Kernel Density Estimation](05.13-Kernel-Density-Estimation.ipynb), but for now we'll simply mention that KDE can be thought of as a way to \"smear out\" the points in space and add up the result to obtain a smooth function.\n", "One extremely quick and simple KDE implementation exists in the ``scipy.stats`` package.\n", "Here is a quick example of using the KDE on this data:" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.stats import gaussian_kde\n", "\n", "# fit an array of size [Ndim, Nsamples]\n", "data = np.vstack([x, y])\n", "kde = gaussian_kde(data)\n", "\n", "# evaluate on a regular grid\n", "xgrid = np.linspace(-3.5, 3.5, 40)\n", "ygrid = np.linspace(-6, 6, 40)\n", "Xgrid, Ygrid = np.meshgrid(xgrid, ygrid)\n", "Z = kde.evaluate(np.vstack([Xgrid.ravel(), Ygrid.ravel()]))\n", "\n", "# Plot the result as an image\n", "plt.imshow(Z.reshape(Xgrid.shape), origin='lower', aspect='auto', extent=[-3.5, 3.5, -6, 6], cmap='Blues')\n", "cb = plt.colorbar()\n", "cb.set_label(\"density\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "KDE has a smoothing length that effectively slides the knob between detail and smoothness (one example of the ubiquitous bias–variance trade-off).\n", "The literature on choosing an appropriate smoothing length is vast: ``gaussian_kde`` uses a rule-of-thumb to attempt to find a nearly optimal smoothing length for the input data.\n", "\n", "Other KDE implementations are available within the SciPy ecosystem, each with its own strengths and weaknesses; see, for example, ``sklearn.neighbors.KernelDensity`` and ``statsmodels.nonparametric.kernel_density.KDEMultivariate``.\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Customizing Plot Legends\n", "\n", "Plot legends give meaning to a visualization, assigning meaning to the various plot elements.\n", "We previously saw how to create a simple legend; here we'll take a look at customizing the placement and aesthetics of the legend in Matplotlib.\n", "\n", "The simplest legend can be created with the ``plt.legend()`` command, which automatically creates a legend for any labeled plot elements:" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "plt.style.use('classic')" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import numpy as np\n", "x = np.linspace(0, 10, 1000)\n", "fig, ax = plt.subplots()\n", "ax.plot(x, np.sin(x), '-b', label='Sine')\n", "ax.plot(x, np.cos(x), '--r', label='Cosine')\n", "ax.axis('equal')\n", "leg = ax.legend();" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "But there are many ways we might want to customize such a legend.\n", "For example, we can specify the location and turn off the frame:" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ax.legend(loc='upper left', frameon=False)\n", "fig" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "We can use the ``ncol`` command to specify the number of columns in the legend:" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ax.legend(frameon=False, loc='lower center', ncol=2)\n", "fig" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "We can use a rounded box (``fancybox``) or add a shadow, change the transparency (alpha value) of the frame, or change the padding around the text:" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ax.legend(fancybox=True, framealpha=1, shadow=True, borderpad=1)\n", "fig" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Choosing Elements for the Legend\n", "\n", "As we have already seen, the legend includes all labeled elements by default.\n", "If this is not what is desired, we can fine-tune which elements and labels appear in the legend by using the objects returned by plot commands.\n", "The ``plt.plot()`` command is able to create multiple lines at once, and returns a list of created line instances.\n", "Passing any of these to ``plt.legend()`` will tell it which to identify, along with the labels we'd like to specify:" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "y = np.sin(x[:, np.newaxis] + np.pi * np.arange(0, 2, 0.5))\n", "lines = plt.plot(x, y)\n", "\n", "# lines is a list of plt.Line2D instances\n", "plt.legend(lines[:2], ['first', 'second']);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "I generally find in practice that it is clearer to use the first method, applying labels to the plot elements you'd like to show on the legend:" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(x, y[:, 0], label='first')\n", "plt.plot(x, y[:, 1], label='second')\n", "plt.plot(x, y[:, 2:])\n", "plt.legend(framealpha=1, frameon=True);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Legend for Size of Points\n", "\n", "Sometimes the legend defaults are not sufficient for the given visualization.\n", "For example, perhaps you're be using the size of points to mark certain features of the data, and want to create a legend reflecting this.\n", "Here is an example where we'll use the size of points to indicate populations of California cities.\n", "We'd like a legend that specifies the scale of the sizes of the points, and we'll accomplish this by plotting some labeled data with no entries:" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import pandas as pd\n", "cities = pd.read_csv('data/california_cities.csv')\n", "\n", "# Extract the data we're interested in\n", "lat, lon = cities['latd'], cities['longd']\n", "population, area = cities['population_total'], cities['area_total_km2']\n", "\n", "# Scatter the points, using size and color but no label\n", "plt.scatter(lon, lat, label=None, c=np.log10(population), cmap='viridis', s=area, linewidth=0, alpha=0.5)\n", "plt.axis(aspect='equal')\n", "plt.xlabel('longitude')\n", "plt.ylabel('latitude')\n", "plt.colorbar(label='log$_{10}$(population)')\n", "plt.clim(3, 7)\n", "\n", "# Here we create a legend:\n", "# we'll plot empty lists with the desired size and label\n", "for area in [100, 300, 500]:\n", " plt.scatter([], [], c='k', alpha=0.3, s=area, label=str(area) + ' km$^2$')\n", "plt.legend(scatterpoints=1, frameon=False, labelspacing=1, title='City Area')\n", "\n", "plt.title('California Cities: Area and Population');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "\n", "The legend will always reference some object that is on the plot, so if we'd like to display a particular shape we need to plot it.\n", "In this case, the objects we want (gray circles) are not on the plot, so we fake them by plotting empty lists.\n", "Notice too that the legend only lists plot elements that have a label specified.\n", "\n", "By plotting empty lists, we create labeled plot objects which are picked up by the legend, and now our legend tells us some useful information.\n", "This strategy can be useful for creating more sophisticated visualizations.\n", "\n", "Finally, note that for geographic data like this, it would be clearer if we could show state boundaries or other map-specific elements." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Multiple Legends\n", "\n", "Sometimes when designing a plot you'd like to add multiple legends to the same axes.\n", "Unfortunately, Matplotlib does not make this easy: via the standard ``legend`` interface, it is only possible to create a single legend for the entire plot.\n", "If you try to create a second legend using ``plt.legend()`` or ``ax.legend()``, it will simply override the first one.\n", "We can work around this by creating a new legend artist from scratch, and then using the lower-level ``ax.add_artist()`` method to manually add the second artist to the plot:" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "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()\n", "\n", "lines = []\n", "styles = ['-', '--', '-.', ':']\n", "x = np.linspace(0, 10, 1000)\n", "\n", "for i in range(4):\n", " lines += ax.plot(x, np.sin(x - i * np.pi / 2), styles[i], color='black')\n", "ax.axis('equal')\n", "\n", "# specify the lines and labels of the first legend\n", "ax.legend(lines[:2], ['line A', 'line B'], loc='upper right', frameon=False)\n", "\n", "# Create the second legend and add the artist manually.\n", "from matplotlib.legend import Legend\n", "leg = Legend(ax, lines[2:], ['line C', 'line D'], loc='lower right', frameon=False)\n", "ax.add_artist(leg);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Customizing Colorbars\n", "\n", "Plot legends identify discrete labels of discrete points.\n", "For continuous labels based on the color of points, lines, or regions, a labeled colorbar can be a great tool.\n", "In Matplotlib, a colorbar is a separate axes that can provide a key for the meaning of colors in a plot.\n", "Because the book is printed in black-and-white, this section has an accompanying online supplement where you can view the figures in full color (https://github.com/jakevdp/PythonDataScienceHandbook).\n", "We'll start by setting up the notebook for plotting and importing the functions we will use:" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "plt.style.use('classic')" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "As we have seen several times throughout this section, the simplest colorbar can be created with the ``plt.colorbar`` function:" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "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, 10, 1000)\n", "I = np.sin(x) * np.cos(x[:, np.newaxis])\n", "\n", "plt.imshow(I)\n", "plt.colorbar();" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Customizing Colorbars\n", "\n", "The colormap can be specified using the ``cmap`` argument to the plotting function that is creating the visualization:" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(I, cmap='gray');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Choosing the Colormap\n", "\n", "A full treatment of color choice within visualization is beyond the scope of this book, but for entertaining reading on this subject and others, see the article [\"Ten Simple Rules for Better Figures\"](http://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1003833).\n", "Matplotlib's online documentation also has an [interesting discussion](http://Matplotlib.org/1.4.1/users/colormaps.html) of colormap choice.\n", "\n", "Broadly, you should be aware of three different categories of colormaps:\n", "\n", "- *Sequential colormaps*: These are made up of one continuous sequence of colors (e.g., ``binary`` or ``viridis``).\n", "- *Divergent colormaps*: These usually contain two distinct colors, which show positive and negative deviations from a mean (e.g., ``RdBu`` or ``PuOr``).\n", "- *Qualitative colormaps*: these mix colors with no particular sequence (e.g., ``rainbow`` or ``jet``).\n", "\n", "The ``jet`` colormap, which was the default in Matplotlib prior to version 2.0, is an example of a qualitative colormap.\n", "Its status as the default was quite unfortunate, because qualitative maps are often a poor choice for representing quantitative data.\n", "Among the problems is the fact that qualitative maps usually do not display any uniform progression in brightness as the scale increases." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "\n", "We can see this by converting the ``jet`` colorbar into black and white:" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [], "source": [ "from matplotlib.colors import LinearSegmentedColormap\n", "\n", "def grayscale_cmap(cmap):\n", " \"\"\"Return a grayscale version of the given colormap\"\"\"\n", " cmap = plt.cm.get_cmap(cmap)\n", " colors = cmap(np.arange(cmap.N))\n", " \n", " # convert RGBA to perceived grayscale luminance\n", " # cf. http://alienryderflex.com/hsp.html\n", " RGB_weight = [0.299, 0.587, 0.114]\n", " luminance = np.sqrt(np.dot(colors[:, :3] ** 2, RGB_weight))\n", " colors[:, :3] = luminance[:, np.newaxis]\n", " \n", " return LinearSegmentedColormap.from_list(cmap.name + \"_gray\", colors, cmap.N)\n", " \n", "\n", "def view_colormap(cmap):\n", " \"\"\"Plot a colormap with its grayscale equivalent\"\"\"\n", " cmap = plt.cm.get_cmap(cmap)\n", " colors = cmap(np.arange(cmap.N))\n", " \n", " cmap = grayscale_cmap(cmap)\n", " grayscale = cmap(np.arange(cmap.N))\n", " \n", " fig, ax = plt.subplots(2, figsize=(6, 2), subplot_kw=dict(xticks=[], yticks=[]))\n", " ax[0].imshow([colors], extent=[0, 10, 0, 1])\n", " ax[1].imshow([grayscale], extent=[0, 10, 0, 1])" ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "view_colormap('jet')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice the bright stripes in the grayscale image.\n", "Even in full color, this uneven brightness means that the eye will be drawn to certain portions of the color range, which will potentially emphasize unimportant parts of the dataset.\n", "It's better to use a colormap such as ``viridis`` (the default as of Matplotlib 2.0), which is specifically constructed to have an even brightness variation across the range." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Thus it not only plays well with our color perception, but also will translate well to grayscale printing:" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "view_colormap('viridis')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "If you favor rainbow schemes, another good option for continuous data is the ``cubehelix`` colormap:" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "view_colormap('cubehelix')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "For other situations, such as showing positive and negative deviations from some mean, dual-color colorbars such as ``RdBu`` (*Red-Blue*) can be useful. However, as you can see in the following figure, it's important to note that the positive-negative information will be lost upon translation to grayscale!" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "view_colormap('RdBu')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Color limits and extensions\n", "\n", "Matplotlib allows for a large range of colorbar customization.\n", "The colorbar itself is simply an instance of ``plt.Axes``, so all of the axes and tick formatting tricks we've learned are applicable.\n", "The colorbar has some interesting flexibility: for example, we can narrow the color limits and indicate the out-of-bounds values with a triangular arrow at the top and bottom by setting the ``extend`` property.\n", "This might come in handy, for example, if displaying an image that is subject to noise:" ] }, { "cell_type": "code", "execution_count": 69, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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N7XVc+tRWdjJPEQaj77YuvnXPk3jxvjtYw+qGeRil4sT1+nCPIYmVMRVcQgqJxBNgkoEJ5Tn1ACT6Sf/qT7wSL3/31zNlDgyyHpTUw8GDhg7jsYzxNiG9gLd7JwLO4LPUM8GJtHe24F5BDFI/2Jr9S53jIxm3YsUsIvDAAw4eJQjHI3gND1JIiESdv3I3CHACjpxfRyKVcU8kIcn9l9PcM1jvFSegwRl8TmA+g9/wwH3liTLhPCWqPB1e9LWw0wnSNi9KvRbd3wjtD/aMkfrNSrieitIwquFaBuZ8AsQ5rqUQkEnSkeuHX7oJ+/zP0kKu/ZqX4frbH/13zPUYavq4drvhOjsCM891IYhZO1LFdS8gonlgHvhuJ2TWi7EnIMdXqw+8BgBnAriqp863AraqiCoTUAxp/aBeUGRcp2K14rZVY3jW8jld95M5npILrBvvR4VG7A2MpTWjcsKp7bNGz3lS+ZuH+7nIqzEDYmomubZ9djjvbgVUt33OhGDuB/2G64joSwBeCOBJKeWBet0CAN8CsBuARwC8Uru98999A4AP6o8flVL25vr8K8JpBy629xdzBXBtnHwtTGraA1DzGEJPCZjEYxAJg5Tq4c4TKY+CkTaqHIJxnPah74PX6lj3wG1YsNdhmf27pQ5MorHycChD6gVMhbY4g+er917ArVeipkN5NY+lQoCMGGyvkdYGWzuOw/XomJFvzPdVSC/SIirk8BsSMpGQ9eyftw6AJxKcJBIpwYXJPaTM/SEtYZBNTDceKL/hwat78BoemM/hNVRoz6sH4IFnQ4ws8Ozvl83x4erBjRWH9Jj+Pcz+DdecURvXDZ8jiQWk5JZrJiSYJ+GBAwgyXAuRCijp1Ad0Sx0Q49j/J7vAC3gl11x7wgzXxisKAD5jbVwD5fcxSQTqwHWP8EC8zQvFRncERncEAIjJdUg2PjzZa8coL5S7CsDxufU39tF/G7b2w3QGVcYok7+SWZ++16NnC1V1vwKqbXvFd5JcRvK37u2cxF68ky5oKRI8ep2sd3euRd8t7L+owCYAPram+FgA8Mk2+5vtvkeua7w9T6mM624xHa6L0JdgnoYQncbovK+gPR/gfADXSyn3BnC9/pzd3ywmZ27PMAwao5TWWyJrvIwxawQcgc4HYkbcBOrzXk9brIWOBx7U4dVHbHhnyYHHwK8P5xa13a+PwKuPwK834AWe7lOLJp+r9wFX+TE8NayugfU54Ru3PaYEgT6HQ57/jvZr2lpc16hqMef7IC+wIsUIFu574PXAETZa6NQ9+Logplf3UAs4Gpzwql9ciRGPYcRTYbthZ3HDeQ2uwoH1RtqXV/e0aPKsR6o2p66OyfGOEWN4z+lfBTxfhahq9fShhBjO3vG57TwbUUnaaeVwbYSJy3XgMQRa2Hzu9MMzXFt+CrhWnA6DB3X49eGUY/3Kgwb8egN+3S/kmnvqc93n6npr49ukNAC+HmRQKZiJqft+Bdc9g6i6xh2vzmetwA8BvF6P0jsKwGYp5RNQNd9OIaL5+p51il43bWx1EZUXHnmUGa0iIeWOmnIN7O9XZ/NajHBueJRpW+SVcG8ibnmCIs8Ez91xXnVAexJ7JQoM6rrYuZhEbhh9SR0oanU1HUh5AmWXhj0ZXZL9WpSW90iGeretVVy3kmzRu/z38t81JS/K2nbiOnt9pZ8Cp5HHqH8v1Ex48fostlmSnHkqAONV+iqAlxR8ddaSM7dXPLKpqeoAacNqDJLPVHjJNV415701pj63xvXxRzfBr3P4NY6g5sELPPj1BlbfdaMystqALt9vZ3j1EXzh/X8Drz4MLwi0QVXf9QIOv+ZljDXnDK85eldrVGseQyPw1KvPwYlw+tG7Ks8KVwLwzh9fZs8zc5mbhzVKE7MBpEbWD6xg2fMaYcXULdc8lPEUGSHl1T0EIz78YR/BkI+fveidqGsBpYSUWoywGvYZhmqeFU+qP2779Yf9zH5UCM+IOuUd44GHT139NpAe2SaTBHd+8BKb//OZ1Tekp+ueus0bI/g6BJrnuhFwy3UjUHy84+o7M1x7Pi/k2qsPw6uP4OJ3nmwFk2dfs1ybvvJce74S6u51Z7g+85AF6ngZ4bm7z8PiYV/nHFNGJOa5BpBy7YQ/Ddf9oHJQTMn9kYi+AeAWAPsS0UoiOoOI3kpEb9VNfgRgBYCHAHwBwNsBQEq5AcBFULMP3A7gQr1u2tiq4TwgFR7d1KBkRJl8lzkUYosM9DYU9kMEPGPHbF6LkGp9M5GlhrvN6wEl+EZlE2PFJSxKFamQHbwUReE4vW6hn0BC50YZoyhyoTwRV3uSAIjaCFgncaW/Q0kEaZ4ESrxQRSJABkPV/SOb21TjhEmdr5YXoHmu830AxVwbhBXclvVn+6loG+qdMqSFU/NCqnK3JaHXfsBmdvTdEv3EBgCrASwpaDNryZnbK/aYX0czlo5hVca1FQtVt4inRiwRErGQ9sHxy09+Ba+d8zqVR8USxKTrCRFBMAEmCFJI7HHMqRBS5dQAHtY9Pga/7uPsK29BUPNg6gHZ3CebwEyOh4Lj2jufwEdvvAhXvPijGQ+FOmbSXok0n4vph411Uwl29nP/dx3ukkTKoHo+yFPeCXiRzYV67LWjiCemIBOB4//fIYgnsnUUiRPuf2A99t17PhgX4AFDEgpwX13bQj88nXTr93H9UUrXm6Kdpv4U16PxVN4Tx7dv/Ate/3f7aqEWqFBePYBXr8Gra4FXr2kBxdSx+wEOvvgDhffRMtN0DB7GRx6bi5UbJnHs3oss16HH0QiE5bohOCZEGrZljDJcS0+CxYprKVRO50e+9Fv49ZpzGKbqeTHXJoRnuG7oZSjIeqP+/Z7NGK2pyuY3PbYFI4GH0ZpnuS5MW8hxTX7QxnU/YH55Tqf0ij1RUspXV/Up1XxiZ5Zs+xKAL3V/hN1hq3uiyuAeGBGwJVSJdi7JYzJoM1h5j0JRlfHK/RZ5Opz3Y1RvGxrf1p7ygqCDYa3AFFxPVEkVc+Z19Gx0K6AA9CagisRU7rMXFYe2W4lUCaIs+3uG2qWYD+t14rpXdOK67RhKuO6m0Ga+7MZMoOgJLly3AuP3/9Qu/UDfiAaT63aALQNAAEGJEKZzZXxtUI2H4l/e/y8IPGaNWiPgePuyMxDUPe1B8uDXUs9E0PAR1Dw8/L8/gF/nCGoctYZnl6Cm1ilvhodaw9d9KIOm+lKfazUPIzUPjYDj0y+8SO/fs94S5Zlg1oPGTdK4vt4XDxUYSbeAr/ZIQId54PlggQ/me/jms84Fr9fA6wGevHOVFjM+ghEfgfYYHXLETgiGA+WJGg5QmxOo7c7yq+e+Irtu2LftjRfL1+/f8PL9rYDiVkCpV+OFAuMgzwd0kUswpkQBGcGgRYMUWPHGlxVyfSvbC8fsvgAvevqOlu/AY/jaf92KRuBluB6ueQjqah67PNd+zVmvuS7i23Cd9uEhnIoy3keX64YVUKlnrG75Jsv1M//2HdUPnMSwx4fuUFEOHf7McF0vdip0/P+YXL7CZZuVJm3Y6p6oPIjITk7rYk6QreXkeikI7Xd8YyDn1nlHL1femFaNxCudlLig303NBAsaPXoLXE8FMTSkKhgpiWX1irnIRIEHy0AK/HEywD5DBdXCq0RX7gKuGo3nbXgU8YJdyvsCEPvFHirDdY0TppxYrDuPXi9cA509mr1y7TFCLGQl14uHvLYCnF44jjhIPaCF09FM0ytVFK5r7HQAGjsdYD9P3P/jbrtbQ0Q7Simf0HVVihL6Zi05c3sGUfqgxEmHd5i0hqruAR+77P0Yayqx7aYwcEaYIkIYJap+VCKQcAEpJRLOcNCLXpVOyp27uFPvRDqtCOMMdc+3Xgqfs4xBHdICyoSa6lroedoTZcJ5RMCBf3MeHvr5FZlrXxJLQy1acJAXQLKmMrBeAPIiIKjDSxK8/p4vIKkHkInAzsfti6QZqmHxzdBJQE/AA4bWFgFW91TiuRAQicSJE/vg+vqD6Tln5uBjad2pgDkeKZ4RTuq15oiqGiiogzwf5538EVxxy6XpyDMjntIfGXt+6TtoJcbrnOWaE+FF9AC+y/aBzwh1j+OcNx2DsWaMRsDb0lXCCq6lkJVcAzqXyUuntak1hlV+ncdQ1yE8l+szjtwV37t3dSnXjAHrbroKT05EYEhH6f3u5JPxzJ9cC9KCcsXHDgfiphWfGa69CL2CdE5UGWT/OVFPObY5EeXCHblFlB2NVWRcgeLH5368FUVf6bYWkZQSRFRYvyrTzt1PmUF11heWPMiP2st9d5/hGN04HB+c8LDvaNEIv4owIbFUQE0jx6eVyFnhepQLjCWdj6uI1YAzxDr80glFFcxdAdW+w6xQ7hczXEzzhwDeAOBi/fqDgjY/BfBxJ5n8FAD/OJMHsb2BkZr/jUgJbZ8TfGEWhpqnRps1fN4mnjgjTIUJOCOEHsNUlEAICRELJImA50sIoYfGFzxYGo+3nUbGGEYtnmwie8YD5lkDW/e49UL5epSZzwiTUYKGz3D/zy63RjV/lUpigB61RZwrL44fQcYRyPchYx9Uq8PT4TiZOKPN9BD8JIxBLEQSxJCJymESiYSIVPRAJBI3DT8CIDsfrRvKM9PKHP7QTrjzkHU2gdzTXqe8gPLqgRVQ8ANc8atLlBfN8yGJ9HmVjMwjM8FxluvrvafBlwK+kPBFOdecEcJYdM31jc9YgeN/t0fXXBu+hwKO956wJ754+0p8797VlVz7jGHlWIgaZxmun3HddUCSnZ+VAF3iQIX0XK77QWUduxkb1j772KoiqsirkEcvxtX0iS76LTsezqjt6aFIPJV5JtxQXl/XgYhVeE4KhPBUNZGckAKQFVPuxZj3THWC/u6+owLUHIOsj9pNs1EPqvJQUM61Kzh9RoiEzIifIr6rBFQZNYwII811GK8vStvqYyGaPtehAIIZ+lmnUeLgG1AepUVEtBJqxN3FAK4mojMA/AXAK3XbZwJ4q5TyTVLKDURkkjOBGUzO3B7hDlIwQ959zuAnUnuipPZOKMITmfLF9WgujxFasUAYCwQeU0aWCyTSMapCvc/DVptm6TQyb3rO7vjm7Y9lCiwOBcZDkQqohq88EzXPhB3NQmh4Xmbql/y1bYe8E4NkHsBikOdDej7W/eIXWHTMc8CCBHcd+v9wwC3/ao2MKcwoolh7oGLwwEMSxhBRDK8ukERKUAn9ZOKKL9MHACuizPx89xy1BZ/+/F1473lHq7Cd76l6UI5HKp5owp87R4moWh0U1LO5XMzTS7uQyg9GYTp/KPU6StQ85tijrGm97e41OHT/HdCKBV5y8E74z9se7cj1Kffui8CJlGXm4NMlNFyeTUK7fOVL8MX/+VGG6/se34xn7bHQeqHMqLy01EFxekSe6z/UdsPBwUogXqmEaFAHS3pLmbG/acX9i2j7mW1hm/FEuQnHZSE9ta1dSAHtBRb71bGugOokngBlVGuUoCWzpA+vvgtTOx7U286JqT+xfh/IOLvNEU6FYgpoz5fqAUZAFYqnDh4p20dJ365gHl5zDyaWHKjWd8m1uamvmYixw1D7H6wbvosEsoHhejwUgBZQGa9+TkD1CyugZiDBvN85qyqSM9tm3pZS/hbAm5zPs5Kcub1j2GeIRQJC6qGoSVZYLJIzwqT2QAUew1SYIIwFWrFAIiRC/eouQPtIZjt9h+Pp+MGdj2Ok7rWNBrQj8bRXwhVQp9z/Ndx2yButZ4IIuHTpQTh/3d3V1ctdscGUN2rxC14I2VLJ40+/+1uQQR0MytBYERXGIMYg/AhJFIPXhVrHGaKJpi462e7BMpBCgNdVUrjxahFj+Mfzj7fiyZYzaATWM2UFlOenr9oLZUJ5pSOW7W8OfHLRQXjH6rvgMUDkuBaZmkme5eWUI3dGGCe4/IJPo3b+2Ripez1z/dwDl+AX9z1ZWNjTcP25Cy/D+T/5SRvXz9pjIWoeQ52rxWek64O1C8Q2mGrlxHBIvAKURBDa8wghgFpflf4qw3msJLF8W8Q2I6LycI2r66FQ29RrkZgCyitWd4Pqooq5tvrVCCjXMzGx9KCujG4mpNe2w5yhNX/uAjEFFAiqHlDqdZpGCYSySNjU0gMzaqsXro3YHj0AACAASURBVJcMZy/ZPNdjocBoiaunSEDl+R7R3y3j2j3mXlHJdR8YVCzfNsAIaCZCVy4HfChvVMKBesG9yOdpaKcVq4KXYZxYgxrG6ciuMsPqCijzago+ukbW1C0yRlXlaKUCqs4Zfn3w36OuR+h52jPx7jV32XkBM9esKzQcDwXVhkAigXGdSJGANYYhGYNgDIwxsDhSYTw/Bgs8iDBGEikvlKwnEImwniaZiEIBZQ/DnVpGF320xT31vH28HqjK5HVHONXqalReUAfVGlpMBZCMQzKvMqRnvDTnr7sbYSILufY5A1rq4dfWDXO4fs/H32O5Nny7XF/96c/iZee9rZDv21dswNwhPzMnY76Y5gcueZ/1PJokcutt1NeHGY1pvVCAyofKc13At9RREuOFmg6qHgK3pymrtqqIcm8vZgqYMsNrftJOYgroPnepWxSO+mxrk23Ud0i3SDgVlT8A2tZXht969Xx0K6p6DPkFE2sRDu+Q8TzmMR2u3cmkgc5TC+XxVHAdS8AjTNsbNZhgeOtiMhIIuDI+Nz+6GUctnwtJgCAV2snDTOwbJQKsRmhxgcAzxpQ7nqikTTwVPQDkhZQypql3wjWyppaRSX72OKHO01BeTbdRhRhVn2bIu5lANwOnACMJBohY5cmIBDACSnukGKBEShyBMw7mhxBRDFEX4FEMmShPlNAeKJkIW7Fb6lDRgsMOwobf36V2rY2vnQBXz89n5sOz8/UFvg7XKdEEwIqmdJi+D3heOsK5TEBBCYyLFhyI96+7B5xQyHUrTpSHhxEYCV3QMuVa8VvMdSIk3vLBczNc33bXahx50NJCr2M/XKej8xhqegAB1+kRATcPkGQ5NnC53rzDAZi35i7LNfoJ51H1QyANEsu7gwnxCFk8BQwRwWfpkHeg3VOh2qXvy5xQf1zfxD4Lu1fOZTqsSDL06pXI143KeyhCyRBQtQcqs75oWx56O8UhZNnF20mEdVjXjf8vHN6huPuCsF6/XLvoRkA91Vxn6oBOI++M9a3UB5gJjPgMkZAYCwWO3XWeHcXJiSB1qOewOTF+vdEDI7K1oyJttFRuH0PkqVFZYWJCO+01pS4+/xK85+PvKTwO1zORCfWQrv9kyhdw1xvBbL6WTTjmZHO77Ci0okssV94AzIOUApACrNbAih2egd2euFW1ZbpNHIGiENLzVUJyHIILARmFkInJhXLFU9YTNbHiz6jNG8UD374N+73iyIwXyg3pscBPyxc4I8mo1kjzn2qN1DPlB8oDxTxIxgHuIa2J1C6m/mnjvYiE8kJJCQiHa3PHqOQ6kWj41Vy7r88/etcMz+a1jGuVp+UUAuWpF8r1TPlmlCMUx3WeiuZOXM/Z8CdI7oPV1P25v4c5qqxzNyhx0COqbEEk2g1skafCIH8NJEIVctx30fRcj2WUFhnV/Pk0Y4FGwZNpGVREqXsPVGZbB0i/+98hIQ+8bGa7PgRUHnlvlPkti7gGsnxzIiQd9mqSwXs+Lmd/Uqaz2nfD9VMpa1gfs6cPMHMw1avn1TliIZXRhDawAAIw3DtZR50LO99bJIQ1rJH2vEdCGdRIqMTkRKRh6lsfXo/DdpuPi6/4QGbf5r4GpMbV14bHiCEjnDjpYe0546peqU1AmTAPQV3fZ373Xvzryw/M7N8kHKvEcgGSnvo3Uow9ttwHaUI9pqZQHKkCinEEEglkFAEigYzVKxOJyq8RifU+FYXzDn6zStszYT/i6TxuZIp+GvF09MuB312biieT/+QF9rPkPiTXSeXcS0N5JVwTqdp2UhI4A4R9BGZgpDjrhutn7bwQNz6yIcN1IiXqHsOEronocmzgznlXxTUnwngY45cPrcPLD1nWNddF98tscjlPudaiWfbpER94omYJ5pppr0Zd7KlwUWTu8xdhEWIhM1O65PufiAQWJZswVV+QOR6fKZFXdPwGayfj4mJ1ORTmy3TjgSraPh04fRcKqC6Ka5Z2nWtrbhLdcA1k+c4n7Bbuz/lBi7xaZX1n1lG596lfR1CG6/xUPj1g4Ina+jAeG04EMIkAhEQAYLAFKznjiBJCxCQioV4TqUWTFk9mhJaQ6tpWYkriufsvLgx7J1LawRafveZ+nPXi/dP5+sxoK6aE05s/8A289AdX4GUP/saKJ06Ew0abeKA1bI+fM9dIq/fLjjsba351ZfZaZwyQjoeCe/aatodKpERNHKqRe3EERL4SUHEECpRokrEaRi8jXWtIT8DLGsMQE2PlPzxjaciQcZVDowWVFVN3Xw/Uh1LxZCurB4DnWQ8UjBfKDOxxCm4Cit9EplxLInAmccfj4zhw8QjA1NkrOhh82ZnrO1ePYW7Nz3BteJ5XZ20cL5tTw6otLctDGdecyL6f3/Cx26HL0vCenn+Ua9uV59pQbLk23ifp5L4BkFJYrpu3XYP6ESdX/UUKobIZ/jpyoqhsZNSs75hIjk+oStZlR1BVoqfquBPHe1CFZiJR76ahgzJvRD5sk/lO7nMrkXbevk5t83hyMsHixjSNZ0kuzoaWxIJaQd8lXq5WIjOFMV2UcdcP1/WJNZga6nEewnz/6H10XfUkySXf6dA+EoCZQcO0bQwNQUrZE6lEJPc95/sd2z14xUt67nuAziAiOTYxicjks0ikr1JC5j4nQl37UaKGtEeJNp5SrTPvhZC47sEnceI+O9j/RNkDwwVf/i0u/PtnWkNrDCRjlE7f4nz2GQNjsJPlmvZzawyTkbBGlTNkX63HAiAp8M83r8T5RywCJZG6jyShGtQSh2DNzZD+EEjE6gFBCiCOlVgSAkOv/zomvviy1OOkPVA2vwZIP5fAW7ILkrWr1AdjbBnHskv+gsffvxfM1CTWO+WE99z8p5+3dsJJwxtsGC8jqJgHyfVnYhl+M5xrriOhOS/g+ku7HobXPvzbQq4Nv0Y8u1gyHGDNhBKZ6ydDLBwKSrkGDL8p98bj5Ion9YquuYaIQUmsXyM8IuZgd/EkIIQaSCBikIjh7X5Y1/cZIlrEaiNrd3rFZ0rbhOv/jCd/fOHvpJTP7KbPrYltWkQZdFHvsFJU9Qs32a4KRQZ1SyvBnBqvFEVF3/M2r0I8d1lXYaHxSGCkwsnFx9a0TRLcFbRoqhpNRuEkRDBUWuurVxFV9j2unwLdp7LZuma7yXeqcv64m2obHkFrwW5dfW+oTxH1tHf8sGO7+y598UBEzQKMiEqEhAAyQkoCKkwDZVCNoRWO0TVGFgCixDWm0hZvdY1sFaxhNeE9bUSv/OUKvOOEPTOjxAhqBKGZcJZrTytnaoSWMaYHvu4zeOC/zk6NrfbCZAyrTA2peh/j7KUn4jMrf6LW63XQ+VLkCCcpErz9nnn47H5rAUCLKJEKKQBnH3EOrrjl0uLf34zsspMfp4IJAMjzkSzZB96GR+ykwnZ0GTHcdc478fSrPgPWGkMyskPGC5URVdojZbgt49oVQkZMCQnsOS/AnzaG+OUjG/Csnedpj2N/XGdqdzniKRXLaOOacuKJHMFkhBXlhBUj4N3D++OyiXsruYaz3t/lwJ5F1LLTPlvaJly3Amuu/aeBiKrcsSOigO5CQt2IKRebmglGayxz8c0UjFH0IBBX+DgIwMqxCMtHi2O83URkZtMCXnbrSpx31PKu2/fLkxFD0+mjGxSFWKeLbqNmnZqV9dOviDrgXdd0bHfvp140EFGzACOihFSiPpGwRlHm3yMVUVJKm2tnDKbQ7cwlbxKLj3zRO3HxFR/AcbstKDSu+fuamxRs0hNsgjjSCYVVMrH6vPOqW/D48qO1sNIGWb/nTA1/3+GYs7Dx5qtSEWWMqBBtxhVS2DZIYpCUdn1mm/GES6HaIB2J5wqpIo+UGwZqvOYrmPrmGVZUuYJJN86ULEjDdk7IzhFPFE1BNuam32EqVFlbdSfGdzy4a64Nh4ZrIQEJWcq1yYs6cDTGnVvaw1xlXLthONPECKE8166gKuOa8oK5iGstpF0+gx337llELX/Nv5a2aa1bgTXXfGi7EFHbTE5UkUcjHyIrM0JlBrdq2hUzNUs3qDKiZQKKkNYsWj7qlw7pFxLY0EywqGKOvaLT68Uq8o2PIZm/c+G2MgHVj4apEj7u1Chl3isX5o9edE1UYSYEVBnfRYmeBt3wYa7nsCIM2guoW3U3wKxAGSJAgEDQnlIhIQkgSRhrJhgNGExtfWVAyRFVWc+quXSNLbrzx5eV7vuBdRPYb9FwZp25HMxtzdyZXCOq1pMVV0/ucjQ8OCO/tBeLCDjk7O/h7itfig03XwWvtQWiPsemAkhiIAiAGEZOeh/GbviEFUxmpJ6ZeUEZXT3qzhFNZps0753nTFPzjgCcufvf4ao/f6/wd5j8/rmQcMq75F6tqHJG2mXqQNn8J1KCqTZaWCdqaqeDdV4lgUPZDqaFMEn1XkhpuU50mHRjK7GjiIWkUq7NfW1Fk2NU51ur3tr/4+7fvoxrs83l+pFNLew5v+4I65Rrlvuu/Q0N1zqpVDLgxjWEE3ZgWa57RodimxWJ5UT0PACXA+AAviilvDi3/VIAJ+iPQwAWSynn6W0JgLv1tkellC/u4+Az2GZEFJA1RBLdewD6siWz4J0CsufgFn2sMv4L9CTJvZxHLyInLhFQW0KBOTMwB0k/XiNzqlVfLdpmfqPHtkTYec7MjeAIxtcgHFmS8ZjlkRdQ/VxBQqJwEEM/4CV5dQM8tVB0agPJjDACFuoHI4n0P6JsKGmDqyByD/B5p5Mo+CccumM6N6MJw5nBbJkBFcag2s+UaeMaU7PeGNS7r3wpAsRI4CkBZWDECFfmY+yXn1J5TFIA4NaokpRZIytTIWW7ym2zv4EzfdVnVv1MeXSCIVCYRi/2v+ge3P/hgzLHBCBbLy/nlTKvdpJhdztjpaPzgKxoZlLCDDox3iiALNceA6ZiiTpPp4KRuhchgT1POgcPX39Fhut2ngsEVG6dOY2PLTwQH9pwDxZPPY61jZ1UW5dTAvZZWC/kWr1PPVTZHaSpHeBq7tbjl2a5pgIvaUdQ9cCYsrxyUvPBXAXgZAArAdxORD+UUt5n2kgp3+G0PxvAoU4XU1LKQ3o/4HJsUyKKyxgJqUMq+3m3TvCxHd2aL37T15E857Vdta0SI9O1u0UirVcB1W+IrQpVp1W1u5kUUAAQjqjcsSIBNRtSZSZ+y36qpg8wc3C9y5wA+vkXIE5+i1pHyBnIFEZIAe0V94sviy555uWt3VBfftSqWkdO27Sf84afjksn788djiNKtKcC1C6MXCGUEUnujAv2O1Vu7BAyGAYlEaQj5u772NGZ30vm/w9lhYFZgeDKC6/cOsM1AbrQphYiPXJt5nt9/H8/U8B17/9n842Pbr4XALB5ZBnqfXLtfk476Mx1v7eyqhItFaPzjgDwkJRyBQAQ0TcBnArgvpL2r4aaG3TWsE2JKCOgquByXOU1eKqg/0MAikcF5gWU39yMqD63tD9XSLqYCaM7GyJoNrE1JIL87iWgl7636/a3PzGBw3cc7tzQARchEjb9KVsGJQ62PjIUnPIWcKh7gBJS1fzUV9+D5tK0/tJs/z2LjqaVSNT0TWvVeISdc7mbeQH1kbkH4ILN96q6QUC7ULnxa5DHvU6976Z8kBFclY3U/6u0SHAe3dTM67aunvO+6O9m7vd5b2JxP6bNzP9vTY/vGt4fn5q4v7Kti/nPPhObf31Vh86zXE/8+wUYPuNCANO7Zis9UeX/nWUAHnM+rwRwZFFDItoVwO4AbnBW14notwBiABdLKTsPce6AbUpE9YpOAqosD2kmkRd1rqjypzYiaszPtK8SUIASkm4f04F7g5wOauseQmvRXm3rvWgSsT807f63JfQioACUCqgqgT8TAgroPyeKiPYF8C1n1R4ALpBSXua0OR7ADwD8Wa/6rpTywv6O9K8Tbb++42HhBevybaPF+4CLsLhvKcDG1kKMFlf4L+yyV/FADENMj8cnhl1GOCZjiSGuLtzzhg/AZTkRdYH2eKShSPVqr/fjXl9a+qT4Xpw9Zneg06dufhTvevYunU8pb3Bz+3nvyP74ZF5YSODuv30eDrr2J9mjKfhLFf7LcrzygnVlbdv67yOnqIzry8buBPQ1NQUfDSooFWFK3BDDlps/Y9+78J78I6LF+2TWGf7qb7ywp0FCRSAArKIANc1MqsJpAP5bSun+CLtKKVcR0R4AbiCiu6WUD09nJ9uNiOr3oXu2H9bTWi7ape9sywuobtFNvlAZNrcSO39cwKnnPqhgv80CAUXArAmowhtZEqrKwk8RisKfhO49n267buuW9QreZ8VyKeWDAA4BbI7BKgBFmbu/klK+sO8D/L+AfE6PzQfSn0VBzo+TM9TWj9t1MARqTXR9KCo1qyAsZfpz84BybR6e8rDnsMAQMTOXBy4bvztjYPPCyf2sRqdpfwuldZPUdplp7/aROT4J7HbyO/HIdZ8GALz9yJ0xFXfzh5PW6TeXx9iceJn/7kc334tmrH5fNx9ov2t+jFiYYyZ7jPnQll3XK9cOp+uv+icsevuH29YXfu4CVCSinHUiaGAoGsus51tWI5m7kw1nylyozvU4xVpACQn8ZUuIXeYE9jPQPhiiH+S9TROP3Y2JlSrnOx7fAACjBV9bBcBN8l2u1xXhNABnuiuklKv06woiuhEqX+qvT0RtT1EKc6zuMbs3iMlYYKiLKV9mwmHmUfsEvL2i2+PonALZHbrl+qkUUEDxcRUNdijzdLqeqLyAminn6AyNzjsJwMNSyr/MRGf/p9A2VF/YoeAZoZRPrs4b3yrBpVGWM1SZB8SyYZjMay7hes9aDCQsFWI6yfqUz/0OP3v74QCxzAOWSaA2JRsA2ATrfCK9K6KyCfbZZOrlq3+L+3/8SUxpwdNLjqj5GVoxt0dpEqqBrDDKr2ekRlcymMrklCmgbAXUNLje4c3vAaLJp4xrFjfTz3qdGF6o8soEWT5drm17KeCveQDh0qcBAHaZE3TFdU8gavNEje5+MEZ3PxgAMLX6T9h0z8+KStbfDmBvItodSjydBuA17d3TfgDmA7jFWTcfwKSUskVEiwA8G8AlfRx9BtuUiOo01D+Pp1prdXuthEJVQhcSHQVUVZ+rxiIsy+UoVF2wYW5bfWo9mo2Fpe0fdZ4wqtCNrbYJop2bdt2ni165Ho8ERvzO4rUM3XJtziPPS5HHaqYjyzMkok4D8I2Sbc8iojsBPA7g3VLKe2dih39tMHV0Ro9/T2aof2F9JFNvp8Dglo1Uq/JU2CugbWh/u2AiwA75F425YOGEHY1GTrsvPjiBM/YfBnEPP3vroWneEjFd7ygroEzRSVMDyRjX3U88Bw/9/Iq2OllAWj8JSP87f1x4GOAIqCt3OhhnPX5n6bkf9oJ34A8/vlT/DuqXYJR6pYpKPKiRh9lRiZxJkISeIw5gUqpSBkV/Lyls8ck2Hk1NJcNZnmuzvkxEOzy/8hcCV5+QvX+VeRrbuIbyVOXLOxRxLUnVLSA9dY/pJ1r6tDauE5kVTi7X/aAqJ6ps0IyUMiaiswD8FCqK+iUp5b1EdCGA30opTQXi0wB8U2YLYe4P4F+JSEBdChe7o/r6Rcdim0S0M4CvAVgC9Zv+m5TyciJaAJVXsRuARwC8Ukq5kdTZXw7gBQAmAZwupfx9Qb+ZYpud7EEv5oLCScjACTWZm8AvvgY64fW5xl0aWhGruicA2MR6iOGF0y4aOd3vA0C9uRHNenvYsAteC9fXonG0/JHCbQa9cJXP75qpwpVFYFObIeqjCCVDQAWGp1uuNSZjiSEvdfNXYUtYLdqqvj863F+xzWdffEPb+s0P/wGbV/zBfn7s+q+V9k1EAZRAOkBKuSa3bQ4AIaUcJ6IXALhcSrl3L8e4LWA2719T41syRrWwEKHZJmVbgcKMIQZsNe/fvP1DOPzKf1I7cka4nXXQGbjyD/+mPuTnHdOeCFuIknEQ59Z7MXnTjzB07IshmYezdjsVVz56LexQf55W5s5U7SaWTsqr1yfasLrVu9Xn9qKTiUiFVlnByc8uOxhvfvQOAE7x0dxf1y002lZ0kqXrGRHWPvckLL3hBlutO0rUpL6uiOLM1EbKFZsk571+DRN9D9Dc8fG1EPW5nbnW2zpxDcAWFL3iqH/AOb/+HFYsORx7PHGrc5K9cW0E0kf+OIwL9o8cwVTO9YEf/DXuufj4vrnefdGcnopt8sactQeeV/bsBkw+8Sf86SvnbRfFNrsRUTsC2FFK+XsiGgXwOwAvAXA6gA1SyouJ6HwA86WU79M33LOhbkJHQt1827LnXRHV7VQaAMDG10KMqGRLNrUZojG38kmtH0hi2WS/Loxv2a/Yr4jqJJ6KeJvp3JtOQ+h74a1Te/c7EsAD61vYf2GtvdE0uC4VV5mDyOWRAG2isO0reuhvt1x7BJhUDyGBuSP9iajnXNIuovK46b0nVomoUwGcKaU8pYv9PQLgmVLKdb0c59bGbN6/psa32OkvXKNqpzpx1pt1Z+7xMnz2T9+EjEJ87qg34603fRZmGpTMtCeMQ0Yh3OrdbeoCgDt3HABVuXuXA4HHH4SdBsWdQ47zVCARS+eL0wbWTHVSNoecyX9Sc8Rlpz3JT3Wj5pBToklIbYylmjcwrdaeziP3g3uewAsPWGrDf1X5h+6UJ+pz0ZyBqbjyWFp0Mp3qpH0KFHcOOVO9mxMUr5EOkRnBbLjOiehkzlKMnvA+TP33P6haWWaqmzjKcg0gM4dgB57/uPvJ2OfP12W5Lpj2xswTSJwjGV0MNrkxy6vLNfOAB34NecBxKde6XZLj2oimHTY+gFVz9s1MdbPvkrk9i6iD3/Wt0jYTj/8RD37p3O1CRHUM50kpnwDwhH4/RkT3Qw0zPBXA8brZVwHcCOB9ev3XtBvtViKaR0Q76n46wq3mXMSIGNnBGlJRH+1sVLs1uo7xbBstkf9cIKrcfAEXZSME+xJdHefQ0n1UtoKuvJsfF1O9vyJBZY61W+9St5M0E5AKqF5FU0X7AAJmJFK3398SAXOdelqu0LNfMXkIXXLtCqjpYAZKHLwaJaE8IloKYI2UUhLREVCXy/rp7vCpxqzev/IhGhHj9xMjeEZ9AyiOUiMrYjtv3JX3fBliYgukSPAPN3waYmIL2ibhzU/ICwBJwSgrAMjNIUeMA/f/WhlRLaAyE/J6zqvnqQcAKVT4BwAJoUoJSAGSTFcYT9vo39F6klzB5Bpbsy7OCadISAghEQlhxZMxxsfstQibW7GdR878P9ZNhlg0lKYdLJtTwxNjLXXaer43IBVIPicrpMx7dzJeQRKMAEnaI6aFE5iqPg5dkbwtsYSY5dIVUJnPIoa/7mFMffMMyOYkZBwpLuOoeMLlHrje6+5vq3u7y7Xhl3FIxkB+oMWv4vigK+/GPW9bBDITL5uIipQAEwAXkPsdbQujmgdCQPHrcm2mKjICynD99OedV3xtdkBVOsL2NBtDTzlRRLQbVDb7bQCWODeW1VDucqC4jsMy6BtZJwS8qNC9RpVBna43quz7RQbXtM1tKxNSRaht/Ata83fFI5tD7DY3O/IhsytHyARcuZcN+j1jkXvNo0hipCNvisVU/prPe3DycH+rwnb6N47B4OWPtAPXknlpbkJF3+0H1X7mc33dfhpcF2EmSm9UFavrBCIahqr6+w/OurcCgJTy8wBeDuBtRBQDmAJwmuyk4rdxzMr9S6ThGxIxnhGsA8UJkITWqCKOIf0AcmKLMqpRqIyqMa4iAaIQUnui2jwVBfPH2XNyQjrWGwGAPB+Sp54JGTaVh8KPVFsvAjwf5AVaYGlToA1tmh9D6lj0pWbWv3/O0/CRTfdilxPOxkM/vwKRFkPuZLxRIhAlSjBFicRzFib42WpkxJSQQKTPNRGpZwNIE9J9Ttjciuw5b14bZT1QZMJx6QS6PmcYCTiaoYDPCDxWQspPpHrlDGD6LiWkfrJUCeZgpIWDhE2wyiWPe5sfRzK0QAmoHNci1vzGETbsdTzm331tNdf6OjJCyn/WixHe3D5YNs+1WWe45gt3hBjbmHLOmrjrDXXI5oTlGp5n7132HmZzqrJcGwhpvIkpv5FI3//22ktx8LIvl16jRSCqHl3MyottbnPoWkQR0QiA7wA4T0q5xTWm+mm1rxtsV4LTFS2uAexGOHXTppNnIj8ENL/N7QrdGdfW/F0BoGsBRaQEVDfCqVtTVxatc/eR/2XKxJQRUu+85gF8+kX7Ffbrcl0qoHJ8WQHVrUiWApQU195RO+zSCzWDXOcxU7XLpuOJklJOAFiYW/d55/2VAK7sewfbGGbr/tWWQO4YVUqUYJJhE3J8E9jIPIi1qyDjUIV2ojDrqXBCejJJIBMBU/VbJMXXvxHSxBiIszTE43id/OV7IVn/hJpg1xjTWt16QggAPJFezwnpJHSmPBTmPDUEgIs234tEAA9ffwViR0DFQiIWEq1YWPEUCYH5DR/XPh4rYZX3TiVSh/W0d0P/QZKKPwpnlM73x6jAAyXQioUVVD4j+IJQ84BEEhIpUfc4BEkI0t4nDux24rn48w1X6DBeVkC5HsdkZFGbtxFhS/EZNq1QnnfH9yB65Dr80Ve75loyDjY0CtmchJia0KLYBzT3EInivVZXXAsfCJBWGidKPY0FSeKGdalDeypc64gpzW8/qPZE9dXlVkFXIoqIfKgb0NellN/Vq9cYN7fOO3hSr++6jsPHPvZRa0SPPfZYHHvssdVGNTeKgaImpF8vbtsLOnkm8qMnzAgIt3aRGw5E1rjmwzxtF2oHAQVkkyvb28LG8ONcZ27dqKLv5ZEXVuaXKRJTRV6pMgFVhFKunST+Um5K1vOJ9UhGl6g+evheoWjKry9Y14nrPDY2E9x128246Ve/LG/UJbYnl/fWxGzdvy76xCWguAWSAscd9Uwcd+Rh1qhmBJQ2qvHYxox4uuOT38LBZ70QNUltBQAAIABJREFUiCOIMIIUAkkYQwqhjKpeAMAbriMcm8zs3zytK4OqQ8q+B+IMjDP9niNccY8yrp4PeD5QUyGkVd+7Bju/Ts2oYI0r4CQeOwKxAEb4qHwndY8yAqqZCESJ0GJKYnNzCpGQVkQZ4xvGAomQOGa3BVjQ8PGNOx/PCKlPf/CTOPfCd2b2y/V5GyHFmcp54owQeAycEXzG4HOhxZOEzwg1qZKl1Xx26r9T91RJBCYJJICHfn6F/U+7Z+0miNskchGDkjDLdRxh4o5fo7HPgZBhMxVPcQSpPVRlXAPAB8/7Di7/309g029uzZyzy7XLOfM9sMlJy7U03kXPV3wLoTgXCVDTdhNQXJu8uCROHQUFfEvNtZTAPs89F3f/5DLcevMvcevNN+mQXn/PH7xi5Hq/NfC2BrpJLCeonIENUsrznPX/AmC9k5i5QEr5XiL6WwBnIU3MvEJKeURBv3J8YjI7I3W+UUFuUj/CqaoibM9VfrtcVyWUOomoPCdFR9/pus3PyZVHRVl9i6Im+bPOC6kqPnvlug25dW3XAgq4FiJNvoXiOyQlfANZ4LGaAa75+FpEwzsUbiviet7ocF+J5c//3M0d2/34bc/uue+/Jszm/au5ZQMQh0pIJSEoUq9IQuWVMAKqpV/jEDe85TM4/tLTrbASUYwkjCGiGDIRSPSr8UzIJLFeKHcuOjO3mPVOcO54KBi474EFHpjv6fd+Gr4L6iDfV69BHVRr2PfwA/VgyANIvwbJA0juq/8ZDxBqb1MkJMJEZt4LCUyGCZqJQCtOECVSv9eCSof3wkSJp5YWUEpIpYIq74lyHww91/uk3xvhxBlD4DHU9OdGwLWYItQ9Bp+pbT4j1DyGum5b97gSWwzwOMFnhIArYeYzggdh+UUSqvdxBIqblVzLVjPjmcpz/dOLfoST3vPcUq6JMWx++AnM3XNHe/6MM2z5h0+CETD3Kx8AN6J5GlxLrwZ4geX63AVH4rLJ+zNcx5pj8z4WQDNOlGCOBU7Zd0lPieXe0Jy1R15QPuPK2MoHcdeVb/vrSCyHKkj1/wDcTURm7PT7AVwM4GoiOgPAXwC8Um/7EdQN6CGoIcJ/39eRlRhVazQLjKzkQVpkrEsUCaw2YeV4IKYkV6X0i8J7br/oLtTTjYAaDwVGApPUmW4b4hJ842MYm7NLR9HUvt/29nlhlQg1YWaV3irzSAGd86LShh0EVJkI9oLOUybkYuskBWoyvUaquK5c5/aJLNdGQHXCdFOM+MAT1Q1m7/4l3OHszlN8HKfG0xjV1hRE2MRx//IayOYEkmbLGlQRxkiiGAve9I9Yc/kF1jshQuVNlUJUhvNc8WQEVMK5NapJ4IHXA3A/wncOeDVe+ZerAVEv6IyBcQ4wFd5xvRL5iWalHqllvFBSKqOqQnjKsEbaK/X3b7wAl332AjTjxIqnMBa4oPE7nHvCB0FXf98KKncBikN6PCekuBZFxhOlFo47H92Ew3abj8BjEFKixiUaPkNT/5Yqf0qCkwAjBiYJXJ+TKcPgcq3J0GG4OMt1HLVxLcMmEEeFXIsoxrFvfzbCsYk2roE0fFtfOIrWpvEM141PnwXiDKHmmnJcM9+DVw/AgkiHbCu4phgQnvJGae//ZWPZ2lxSmrIG2uOYE1CtuL8IEK+Y2oXPxhQPs4RuRufdhHJbeFJBe4lcqfVpowujSlKN9qj0K7mx24rENdcwy5wxbbjj2sxNxg09TSOYa4wqZ2RrcwDASMAKPU/jMYDRnUvdUj4jNf2Cs67q0nSFFdNDg9VxpV6povCeK6SqRuB1hS657ho5T5TtViefV3GtdpZb54Z4e+Q6443U9XOm47QeiKjOmPX7l8zVfRKx8kJo70PeqMpWE3EzRNIMIcIYcTOEiCJlWOujiMYmIRJhvRUy54USicgMKMgIKNbuhRKBDxZ5EGEM0Qjw0ru/AFlPS4esv+U3WHTCCU4yssmp8lTIinltuTIq0Viq/BgpIaE9UolEMxY4YIch/HrlFrRigckowaev+hAmwhhhLLBpUs/rFiY4e8sBaP3ndxBORo5HKhVRZ5+wJy674SG1TyEzOYCqHEEawptyQnlDAUfgCSxf0MBYM0bNY0gCjsQDhIyU4CJCMxFqdF8i4XMjEiQ4UfEtVXPtlrNQ+W0hZGvKvnbFtRFVmmMRaRHl5Ebl4XK97MTD8cSv7ijkmvsepBDwhCieA1rnzFmuM6FK9VBgTt/lWua4/v0TW7Dn/CErSnsC/R/LiXoqkPk5q5LH8yEd57OXOF6oTsluZdsZyxhe03+bgc1VCG7rZmozkkb5ZMOrxyMsHfHb1ntM5TW5RydltvRDmEgUhZPz//uw4Ckuv2YOhdgiA/v7m0mLhZQZz5QrpIDuSiSUgeAUsuyT6wz64JpEWOilAiq47gA+vhbJSPcTxk73PlHrYjqhAZ4CaMNKenQW9Ag8kwfjGtVooomkGWqDGiNutqxBfey9ZyjDqo1rEqYiSuhRucbApuE80jlQBOIE7nuYnAjRWDgCHnhIfOWFkvUahPFwJQLmzrPgsIPUyD3GVb4W46CghisOeBnOuf8Hpd703U48Bw9ed7n1UkRCeZ6OXcLxo8fG0NIeilYsMBUluPTz1+P1rzsGYSzw7atvwckvfCamwgSJkPY1SgSkkJB65N4/X3u/PmdngI02vKTrQv3Hpv/A3y8+HZyUiPrp57+Al533NgQew1DAlSALsmaOEdDSo/hapPJJo4TAiIGD9FQ0pB8q88OOldi48IEaPrzbuCpR4IbtHA9kODZpPU+K85Rr65lyuAag+ZHO7kQh149c8yswzpD4OozncC0CP8O1lyTpvYZxlRDPFd/MD2wO6tlLjscV67O5WPY4dGK5y/V+i4YxGfXriaIOdQi3nwfErSqi8kI0FEBQZRc6GVU7LNhJTM6hyRuoJ1OF2/jmx9UEjQVw62fYYynySuj3ojG3MqS3fJjgpj4bL1SRgAJgBZSQ7QKq16BQIgDzMLtFBpk+ao4b1XimijxSwPSE1FCnWbq75bpLsKmNEPkJoU0fBWKqF64B9ZfvVkC5Ybz+HOEKA0/UVob1PqnXBxt7Yd/mnbaoohJTkXp1vBLqtWU/J6EyskkUIwkF7rv+Eezz7GWQiYRIpH5VV8qGK7+FBWe9yh4C4wzECYwTvvA/D+FtL98PPOCIJ5sQkRZQ2rvhiVrme1y9AUWhU1vIB+IY5971DSUl9Mgte8raK7Xx/ftitQl7QVUGjxKBn6xMbA5UUwuoyTDBa1/zbIw3I0yGCZ5zyqEYbyrP1FSUIIkFklioqUViLaSktPWi8oNm1z62GUt2nQciwquHXwOaisA5Q5QwnPCmMzDejNEwAspZYiGBenrvM3WlIiaReNKGKKWEFVDC1VHOAKMP7z0JtBIbssuGbhXXxvuU51qJ5xAykUjCBEmUFHIttZgiTvjK9Y/gjafsYblmPgfjBB4k4EEMESkxVeTJUtdIM+VaDzAwtcvA1fX7mdU3KK6d70u9iAKum45Q7hWEDonl29ED4lY9Urrxa5nPbQKqwktRaVRdAeW62qVAPZ7IfOZbVmO9qEF6QVZACdFmqHsJI3USNjF5PQ91d8NtIyy2F3h7u/Ll90+Mq3IgsmRUYEGf7n7L0ng65fd0tPcVXLNmbh7KMgGV4xpSgO7/JSAFRH1uJscj9oey/XXgurLuVAfwDiP2+u7XyQkpWwaYPZw7//CMYd134oG0KrUO45mE47gZIp5oWqMaTTTtEk82EU6ECMcjRBMh9jhsKcLxCK0trbZl+PUvse+jiQhf+tkKnDB2CPZ/04tw+km7IZyIdF8hookW4okmosmmep2YsiLOHIcMm8pTFofKq6K9Z/H8XdK8H6Dt/7HhpDNteEeNSNVlC3QhzVYi0IyVgJrSi/v+C+F3MdGKETZjRC21tKYiRK0EUStBaF6n0u1RK8YfvvdNzFs8Yre39PbQ9NGKMdGKMd6Mc/vUoi1MbL6WWcxQfSMWgPQeyFwBlct9s1zHYToKL2wXyxf9088Uz80Q8WQTrS1Nh9+wlOtwIsRXb/wLWltaeO1Ry9L14xH2+/r327mezHIdT0whboaIJppYe8cfU67NYkYMlo3K0/f0RZjQv4kST3mu+y1xUHXf6mbg07aCreqJkse/vmBlZ0IyBq6IwB7ETjK6GAsxBUTOStcLkcupyXgpKnJk+r0EiMgqFVeX5BPBx0SWuioj7XqQDlmanRfPfK9TsUw3vJf3SOXRdV5Ul1zL2rDuOCdskkg9QVftYr/nFO7XC8d1JzmugUwo11bv7THExymdtqJs+orpeKGAdKj3AFsHl2+8HYim0ryoOFZGNcoKEhFGKoQTxdYr4RraeCpG3FReKNczkYSJCm0lwnol8njF03fAq8Zvwm8uJPCAQ0QJkpCDBwI8SiASCd8d1WdKITCVQ8X8UOVCRdqgRmokl7d+BaR50Mj9T92kayGBySjR3gmJXebWcc+acUSJtIJpKoytmBlvxpiKErw0fAGSJEYcJkgSARFLJDqcZ16NJ2rjqpWYt+MyAMBeJ7wErakIjBGIEThnSBIGztXvlHAGnjDVTy5J3U1I9xlDxAQiRogE04UklZdfSMqca3beJ50XJSVkBdeuB+rdZx+V4TqJEsRTCW769UoccfBixXMi27gWicRL912IaCLS3BEYZ4hZjN+e+FzwgGW49pL29BDiHIwxzN1zGWSUck2BOnYK6u0CEYC39iG0FuwJIYE1YhiJFLYQquE6TtL3/SCo8Db521Fi+bZ7F3ae8Nw/cZWAGqO6bZuZgNhFN/ktRV4uUXIMRUKgl8RnZL04RTU38gKq3VNU3b+jy0pR5Jnq5q8xXSGgdlT8e1aKZSkKBRQlUdu6rvddsK9x4VW3LeG67L4yk0W/05FI5csAs4hcMq6ZH80YVBlHmHxstTKoU6locvOiwvEIcTNGNBXj4y//uPUwPevzH1aehnG9TERobQkxf495aG0JlQcjtz31ZimPVjyVINKeCusZmVK5OTbhOYrt8bLR+Xo0V5IddVgCAR36EmkV6wfXTaj6T4kZhZc4YirBVJQgDhPEUYKoFSOOhPY8pR6lWt23nqaolWB4wVL73vVUxWH6PfVdtc30H0Zqn2EsrIgL9agyk9cjZLayuhKI0oauyrg2OW9KQOn3cdTGdVIglhVfIZ6x/0LNVWS5/Pbday3XZluvXEcTqTfsXTu/MSPY3WvTcI3YmShZoyitJc+1elVc9wqiDp6o7ciLvk0kllf+XLoIWMecGCkw+v/Z+/JwSary/Pc7p6q6+947d1aYYd+J7IiICsgWWdxwVxZRExPUgIC4JiGG4IaILFGCGkFFzA8VjWKiYkSUxaDCMOyKw7AMMDD7cpe+tZzz++Msdaq6qrq6773Mhcz3PPV0LaeW7re6vrfe7zvfkWkxOgrH7HoA6bhBZQSnTlf3btZDEnLXQ8ms+mPXO/Nl5Kk85Na5rqO4Zk5Fcl/EuqlRVeUOiiwBA8/RsIc3AnsOdydQhWaIVTcS2wPWsyiELHrXqMC6W8HNqbIt4boZYia8Y8dDS1QulEjQnD+McNMYNi1/Fv6sAZtY7DpV83nOV86xKsX/vOljEJFKDBZCYvuXboPHf78Cy373NIC0mjYnPX5cwJGE5KgSHkQi4SXqEW+LNOoeXsKPkEQe4naoCjUGTSRrVoCag8rRJgnIy+ZD2a8roXtrqedDIrMVx40K9eTaMTQ8lgnjGYITRwniUCCOlBKVxKkatXZ0BFKPKZcf8sYOa8M4hMdBjNR+nlAKlN/5YjXuKFCBx2xYz2cMkRC6CKdUQoys92IoRYKRvzgaA3f+0Kp4Ioyw8CvP4omTBpGEkc2JcrGOHMyTKLHqo8H61QsH0R6PMy/TvWINAIyHIMbwuQe+BDHYRBJ54IlI1Sdn3D5yf2NzLzeG7JtgHus0BCos1v1YVceYoKLYJhGdAOByABzA16WUF+a2vwfAF5AWyf2ylPLretu7AZyn139aSllcHr4HmxEkqtKcHlOlOUl1FIJuOS1ljtR1lrlee4VhvRKr41jNFZv6TIwoo0J1I1D9iBxmn0zCeAWRqmMTiUCr5A/iHidPoCAF9hzucnApAK67X7vrejGpelNJ7nesd7GWXmDLIHTD2lu9DNGCXWtfwlQoePx5lDfwQjX7TNKqjRpkNlWlTHf25vzZCDeOpqqA40w3PrkJwZCPJEwQjccQkSYXUvWwTaTEA7/NF02XdsDxwHbTJ5WUnXAVHnLkUDKDurMwLc4YxhC+InUUhzbMYxUKE7YqyJcB0pIAZgiXWBdjvHf5emw3bwBzBnysH4sQ6rpQoSZMLoEy8ymRiix5kiKBKBg3kOkBd0XMwbwA0uNgUoXwiqyt1Q17HXGCRPDM0DOGBEoAp197N65590ucn1qkWDuhr8H7b4QZAw9CFUp96rTZiMbaGSXKVaDidoxFB22Hx3+9rBTrThW7E+tfrBzFiTvNLsU6Go+x04mvwNM3/05XNveRtEPwwLNYy1gVDZUiwZm7vAlfXv6zjuiDG7Y1WAuRYh0mAn9Ytrbwd+9mVS+BZZkKRMQBXAE17ueTAP5ARDdIKR/MNf2ulPLM3L7zAPwzgIOh3Npdet91fX0Bc62T2XnKrcIZlioT+X1K/vDFxyxiIgX7d8vBqjpHT62VMSIMr38UQMrIu/Ej96sEfcST8z9FGeErKtKZV58adUr2TwZrQ6B6wLrjHO2NXbGmOK1oHrMAVRb3QKAyp5uEYjWZcB4RPUZE9xHREiK6s2A7EdG/EtFSIrqXiA7q/0pf4GaTrxObaGwGGhZRDCGEUiYi071d5T1FWo0IhnxE46lKMREmGE8kxhOhJ4m2UNNoIjCaCLSFxPLxGOOJxEis2rVjgaid5lepzwRCq1vqvGnRRxFFths8HDIgE0cB2vBM5quaf0fqXJXTT2RKRvZYNAsrjjseYSxwxuG7KOKiSVIcdhIoYkAcxkjCNpJwHO98+0GI2iOI2qOIx7NTErYRtUcRtUcQh+NIwnFE7XGtcIms0hUZYiYsgRoLnYKfiUAiJXabO6DGhdNK2ldPfbH+bvrLlinXhuw5WKseluVYJ2FiCZSLtcHQYG1wNliPJjLTDoDF2lW3XKwf/c+bbL0xdsZFpVgDwBWPfD/73bRFwqhQ2fEOLfEUEi/ddV7PfxkCEHi8dPJ5aa7rIQCWSimXSSlDANcBeEPN0x4P4H+klGs1cfofACf0fPE5m1kkyljdkFiBAxzzZ3UeTsrCyWyrdeyiy+zTgdexjXN2gZCyMN7cWeU8uxzqAT2LplkBK61uXkWkinrtmfb9jp2kDpL7fryErOh2K0WreD9tZVi7mAOAGHDKHdTA0U8qKuGbN9WuR5la8/SYYVVTFztaSnlgydAKrwawh55OB3DlFF/+895s3pCeN4PK+rsfoBysKaSYqw2UhMrRKYenHW2YIG7HGP3pjZY8jTrkaTwR2oFKS7BanJzt6bQpR6Si8ZRMJaFIu95HafVs6Q6QawbHlQIY3rrj/2GeH1IX2xQ6t8g42TAWmHXDfyGMBS7+1VJVRDNWDjzRk6tGtUdDJOE4Yj1ddfVNSCbaSCbGIWK1zUxLv/VeiEgXrQzbiEPTpo04jDNEKknSc0aJwIqVIzbR3BT2FFLiwVUjECJVgIQOV1ozuVDOvOnNiCjMYL3VG0/qwDoJhcX6OLG3JT1tS5yExdFg7eKZbzOeSBw6r4XxRGJChwKTUKRkrQDriS98sBpr/d0yOEMVbDZmnvN5rE0B1R7/PdU9i8tV9u0ALHeWn9Tr8vYW/fJ3PRGZsTDr7tuTzUwSJWKsDanYubk1LBpDaZ2eSNV+GojS7vB5x7masj3T3HZdzbkWb81j5WPuyeIbcqqsG4FSbcq/z4aJxLYpale2KyGbG9Wtfc9mVSbnD1mg+m3Nxgt/2zzWACD9Rq12pddScg2F7TaDTXOJgzcAuEYquwPAHD1Q7xbLm3MfSJEgfOhOLLj4cacydeQQqcQqEi+/6gtoDDeQhAI/fnS9est/1asQamcZCteJSlz4l+/PqFPjiWoT5hwwAExoUqbImsjk31x29RIMbD03M8ixKeoJo0CZqtwlZsumiFSFMoPRxpqkmE+jQtm8Jz2vQniJIkiaCIkosuTJEChDrkQcYsc3fyElVRPjSCbame1xGCNJpFWgEn2+uYMBZg03rSJlxupbunIkHUhZFD8TMzjnsDafUijC8sx134LQAwu7WBuS85ORJYrYOthFOpTnYh0Kibd96IgcoRIdWI8nohJrMxajuf8s1i6BqsBa6CR7Y0VYX/7JS6r+HcXWNbG890M69hMAO0sp94dSmyad91RlM5NEAZgXODHekpwnNr4hzZnylMNcp4lSkaNcIEdKz0dSguKJjnMUWTx3x85r6tOhGj9XtXfZ37pTOeryECiwbkTKrZtSdOSpTsspw7p6n+LvTNFE4Xp3n6qxGF0bI4eQ1cR6unPLJ9k7TwL4BRHdRUSnF2yflre2F6q5uVAQCVads61yXnrcOzMennGoUghcdMBp2LRiBEmU4LitBzGeCJx7xPsdAiWsow2FxAd+foWdN9tcp7t4fRuRhN0WR64TT6xCceYp+2DTE89mQno2tydJql8ccrb7vIbNkzF5M67aE8YqMd5VodS8ITqhQ6BS1ckQo3hiXCtPIeIJRbYMYTIkS0SRXR5f/yyEk6Ruzrdy7Zh1/rFIP7efN6AVqVRpMYPclAYp3Lw33XNb5LAWYVaFcolUlCNEhgy5WI8nAl+/6OaO+2A8R75e/akTK7GWiYSIYtxxyufUAMea4EmDtbY0MpNiPx6l84YwF2F9+nln175f7PmgUlXcadVDd2HJ9V/Fkuu/iodv+iEAdIaVVLL4Ds7y9kgTyBU+Uq6RUpqH/9cBvKTuvv3YjCVRhZb7c9su7g7wc+VI1qn2Qm540OmQu5QzcPNmejFDTvIDbE6ZstPTtUztSae1xEcOg26qUtXQOyQlKHLCdAVYT3iqVMaAnOg5fJsqd/qQRg43p5jkzz5JJepwKeVBUGG7M4joiMldzf9dY1oFh5sErR2sISiJGXjWVKkOBV662xzr8EIdTvrUzVdmnOljY5F1nAAy2/LTnkNBRtkIhdT1poRVKMz5zXXd843f2VwZo6iYpG4Triy776UE/rSmrfOJkCoUuWl804RyvI4KJXQSuSE/IgpTYmSWnXV2myZVhlCl+0dI4hB+c1CpW4nIqFFSqHOnSlRaP8olUImU2H5W0P2/6Sp2TjhPukTKwdolOHkFKkuessvnPXZjJebX/8OPS7FOQoHWZddBJgKHfOujGaKneublekDmcG755fQgj3U/ln9W7bj/IXjFyX+HV5z8d9jv+LcBwKaC3f4AYA8i2oWIAgAnAbjBbZBTzE8E8JCevxHAcUQ0l4jmAjhOr5uUPb9IVA3rcKrTPZIhr9/BsZfoShGxce/VIhUqPU9vLMbn1HG+IjXKWFnPO2O91l4jEUPmc6G6vA1v4kO1wrB8fEP385cch298Bo14rOfOBK75d3y/7327WRFpevze3+PX3/6yncpMSvmU/lwJ4D+hEjZdm5a3theiSa/hOFXtmJJsTpQiVNJ+mqKKUqTJusYZJo5zXRBwu20kFpUONd0/7eUVR4lynvp8SaiIlHH2+77zJXactW6ha5pIlfyiemeihET5DU9dg9SD2ApoUmUIk8rPMcvzdjmggzyZybSTIlEkSyTY95iX6e0RhN2ejsFnCJQpwHnVibtkrzEXyntyU/mLMel6YC7Wax5YhlmvfVeKtxlYuALrW6/4D4u1i7d7H4RC4hPbH9sV66fbcSHWV/9iGTa+760ZYtcRui3o/ejaBfP2VZjZzgNpTtRkSBRBlTgom8o6R0kpYwBnQpGfhwB8T0r5ABFdQEQn6mZnEdEDRHQPgLMAvEfvuxbAp6CI2B8AXKDXTcpmdImDMeljgLoUT6yrDhS1KyFYJCVkNyKSq2Rex/ok7DWOK0uXC0NwuWVTcXaOF2N93P2WGI9FR70ogZqMPAk7kscl80BJDUXPwXBWUh6aBVTvO9lwcuD6wDoZXtT9mrpY9PK3TVtcryhc96KDX4EXHfwKu3xzAZEiokEATEq5Sc8fB+CCXLMbAJxJRNcBeBmADVLKFVN39S8Qc3M0E8e5JgJf/ou/wd/+7jK9Tdix0aQQui6QViq04xSAnXedq9vt3SgmnAiJlAiYGqFTtVUqsPokcKG2SyFzztw4WpFRUNI8mWzPLfv9dO0g93Y24R2lTJgQj7Ahs0Sm4+AZMpMkWRXEECOhyeeqP96R2WaUEmJcKWSMQ8QhmBdARCHu+fmvwbwASw7+E168eC81hFecgHkMnk5xMNeQCInTfvgI5g8FhQRAhazKsV59/Tex4LVvUb+Hvq55L9oJG350tSUpCm+ZIc1qMOkUy5d+4GSEOeLsYt8WEk2mMDZYc1JDo+mxii3W8wKO0ME6CQVEU+DdR+3UgTUAxKNtBHOGM98rg7XznP3k2vsxFpX72KTfF0zqVuKgfJuU8qcAfppb90ln/u8B/H3JvlcDuLrHq620GU2iSglUH3WBAIAeuxty5xdn19etYN6HohVLoNs4u11PPQ37ShT3JFsb8dpqWVEhUADdC26W9b4rsz6xzhAo9zjdcJzCgqnTbZNIHF8I4D81Th6A/5BS/pyI3g8AUsqvQD2kXgNgKYAxAH816Qt+oVlRIUrnzf6MB7+GCa1IGRN6oFlAOVohitWI7KSLHEr3RcWEnwCA9KdEIskpOaA+3cFtrSKm59V1FP/HVi86EPM3LOv5ZzHEJHGUIJWTrb+3UD0ZRS58mJ9EHFriZH5bckYpMEQq0e32/99dwHz3eJ5VpICseuaSJ/PSWaSgSykzD8sFb30P5Oj6DsKckidhCbOZzHAuIhGAEp4sAAAgAElEQVQOMUamNESWPKvyvqG9RvPp4oxSrPMELp1XEx8OVA+9LipU3ooIMwA1sHMfVj3sy/PjGQzMcBLVq5XWfTKzLoFyt09TVfLJEqjSS6hxz3ZrUkakSs83w+o61upR2at5AeDmuE2CUDHqPazZq/VLoqSUywAcULD+K868BHBG3xf3f8lMtfKqJlYNSFUhoR1vvkRI6mCRcZIMTgcUmbY1TtUoFsbBmu1uOKnoujKfzvdY8MwSyGZxj2bnEgCkRCR2CFTehEtoDNFJ0qKaZt5Vn1RorqScSY5g2X1EAkO1hJBY/cQz2GaP7fTvIR2SJzJ5UZlr7eO/a4iVizUAi7MhIMZSrNxxNp1SC/bA6YxLmvNY7/f6PfHnny3Vv4dDEnMPogxpLqm5yEZWAa0FXf3IZMJ5/RTbnIn2PLrUabSSLvOTtadGulRJnyabat/tCkvm2MNxUc7fZrY6qpUUHeE7i3VVJ4EeZGsWt5+zYV+mscTBFuvXnKRyAKUkAEDGYebDdnlyJQrmixxxx7FzDtVVw1xz1RUAaJ10Vel1F1lhT19HjVLLhkwlTpssEcpOuc5EQmTam+sWDilLj6XOOX/7hR3XtdNfva2n71ZlVfgaIiWFLMXamLtchLVps9esoKN9IoElNzys2hvS5uC84fF1Xa/V2FMXfAhiaKvs9+i6V+/WZ52oGWczhkR1gLSZa/A8JQYnfYzthroLfeZbtthz4HULzA3J9aKcbPSKep9O3rwn75uW47rWF0Hu4dVIeKpsQp3HwGQKlfqMdZ222HNjcr7Owa8ZInGVoU5n2qlM1X0ammOdu+thmWOJgpBdJckTCcave2/X893zjHqZekfYUfS+lkLRa0gpv9+ifQ+z6zY+9XBBO1k4/8hV3+vrvB2Wu/7PX3JbT7u74Ty13B3rh0oS302CfJENb1/eSzn/Hbb75KVdriAlzL+975kuLcuMKkuzeM+jcN6MuVICwNqOurGZ81K2Y6PTctz8LW6+5bjYPMzbfXts1og/TvcbQrz9ftN6/MmYIUdTaZP5PTl1n7bYc2O0Zjm+dvwn0mU90G8dy+PEiexktvf6NLxk2e32WIwRmL4WNsmbQjpqCgAcsEi9TH03KCp6391Ij4OXX1fXnrlffU/GOA5800ml7cw7+dF7bd37RfZgHzvn0ML1xKjw/5j///eDdV3b9uMXdm9Uw9zQ7aH79dn5pkuxzeeTij5jSBQAiKDVU/vlYWdF6r6MGBBnh/VgY/XHJGQT9QnXVN0aVbWd+j1HVEOKKjqvzyhTmG1GW918tjWdCbUsrhj6ZTMYY9R12mLPnZ160ZsBTQC6hU2IE9449yXWsZq7si7Hce9iTsDGWGT2v39jeaHZ9BrUUS7655/XOynS0H7+X2QGTHeHGuKMQPo+JGYGQFb37eiq5cibS6jST5ZrwwqJFwA8euc9IJ7uT7nzEiPc/NBKAMhc5+v3XID3faTPUY0Yz1xj/noLd9GfBiuXMFe1d/fJz5vjGML83SXPdhDmpz//CfRr7pHyWK+qca8VHa9KifKfR2+AM4pEgfWW575DUAzeaOB036zhNCkaA3IqQzJYMqgiMUgv28NMNOqH/qYqaNdrLai61ihQo7pFnCIhKwuzTYeJZkE4MYd1XVyKShzE83cFiGGdnHr1aapsSzhvhpi+7wYP0KW2HMdKnFtVSk0E0g7ixxsWA4CjOKnP7W/5VU5RJKtQmEm1V9tGE4m5Pss45QNmN+z+zJxXO729Tjki42A//qnX6GvT5IQxSwbtf6rgOVr1BOqmJAwt3FkRHX1O5swXESkzZc6v29rrBnDeh14LliNYI+uLX344Y+CM8JOHV+OrF38gQ0qqLr9MKSPOkURxB9aMMzU5uT4f+MXnLa5lWH/2394Bhvw2qlhOr+Xkl6p6kyfOegsYp/Sa7L1YgHWFVbmARXP6e0a6imt+mi7/Nh32gnrKSiIgbmMw3JjdUEWkiEH6A9UHzu3fb5VyoH+VaJjSc9a5v6qakLPdJoo3OBgRJuLs32XeyPLC85Xd5JXlDabQ3MJ/2Q3OW2ESl24rP3C2zVyaWeqTa1vCeZvZ3HutwBGVhfNYh2NN8XpkNMLKo/4y51TQ4SzddYpAFbXPKhyKSDE8fP1tdt44167WQ46qIVDcUaG+vfzf7LyaNHFylKWiiXlBx7KZiHFMbFwNYhxLrj0bxDg+c/nPnPaEIy49C8MLBtS5zW+SCxcpZaX21ys08xt6zewLdl4NMthddcIn9HKeQKS4/vG63+bUKmT2SY+XLhvCLBMJYgz/PfGf6vr6fKEi5zP/zJ9M2I2gIhhlU43B02eMPT9JlOvo8o6xLG9F6bmdU4F1LbQJlCYar4/Kf9Jg41M9K1HmSjbK8vpKpYQGnWTKLMciu7xxojjBc+3QDoXr7fFK5P1+rJCcVmFdeiCFLSXR1GBdYn/eMLkQ5gCfnC65JZw3s8x9uzdOlRgDCzwQZ2CcwAOjqqQqhetE9x1OFaRFTQ8Bo64Tp85lBuh5gPkMPGCOImXms9cJxrHfT7fNfJ90geGcgb06vjPTISRFTlIClXeC79nljExor5AwucqUQ5SKpmhsI4hxDGy1A7gX4KD3XAnmp/twT70U3v5RVWyWzHU6jt+dn9vyne9UArAbtivAesnXf6u3MU2U9W+tf38ecIuVT2TxMZPBzsx/77Yna+Fv1KrA3lNkVTBi6rzk4G2wnv3JxbkbuEYo0sH6w0MPFWJd1yqfXVuUqM1nk3GK5Qet7yzn+Lqwpx6TzU0zCoe3q61ETeYmyrtmj1GH+pSvc5Y/n7v4XPnifJi0a/vn6o9WQpj3mF399ymjSL7+QceSyV1/1ZucmbbYNFvJvUGcd5AUE8YjTsqhBtrBagfoO840YIQNUZJRJlIn6zrgYmdsCRQjjI9GlkAx7eAtkcqpUfe97lmAcdz3KVVpfWz+7vY7XTamnCahWHFmVuVRYbLAUwPLcs6UCqTVN85JkRxNeJjvW9LEvQATG1eDeQGkSMC8ADu97PiMAiXiEM05CxVpyihWzC4TIzBPnZNzZhWwouRlToQNE7EmhDkcc99T5qMShvhxhoM+cIQTMiMwn9vf3IRT86pilvyigyB1w9ol0IwRuM/1vcUt1um1ZlXHDZ9+qQrlMZYlzOa7yvQ3cH+GI3aaDUaEy8b2RuDxvtWoqjSELYnl02U1JcnJONeOfbWK4a1ZVsjU838qu95XilivIZWqS3fvq3w7lwTlD5EIiblNXrq9V3tOakSVYZ37vacca2gy1wPWZVZ0ZYlUOWRAvbBslZkEz6ppi02/SdJ5JcYh6XnjtJjvgQceuO9ZJ+fmyng+t47Qp6wTbXGWW1ZTlTLhu0Qq4Bhe0MJ3lzyrz51VJFRIUX3C5h5x7PfP50ISYWDtstL7nhxCYJ5NRb2syJmMEsU8phUjQ6RSkjS0cGcwP4DXHALzAjx1z+1Y/4Mz7fZg1jwwXxEuS64cIsY8XxE2e16Ae8ySqL3ed1Lm+hgV95IlQuEYgS7WZrkIa+aQZYN7FdZVU4uzDuxbnHVgTZxw4PuPSVVPc02+Z7HmgZfBuvOLM/v9XeNE+OkDz+C2JzZYrN3PnuwFlIrwvCBR9k/s9nhx/thxYxh568e5Vu0Tz9+1euceHay578ybzlQAUeU017Wz4Tq390NdFcqG/mrWiBoJew93FT6wu/y2U41115y3PrFeNRbbpNGpKBWxpdjmZrai8R5dMuUQFGIMG5/cmIb1fG7DPIc/dAd8TpXONU+mXMfqbm862z2fg2s15NSXb2dDPBkixbkKNxqHyh0iWNOyIT2lQGXuQ4/pSZEn7mXVKK6Jj0ukuBfAa7QUWWq0sNW7vg1ulr0ALzricPCgpQlU4Bwn0IQJWvVKJ5+rnl+Pf+P7qhaRc81AmltEUMrLIef8qDzHk7FKrIkzrQaZ3DOyymMZ1ilRYqWEmVO63SVQBmu/5eH+b95iVbA81lYpM1hDqWmSSOUHVzzbjnjTR/CG/bYBY4SDthnOYN2PVYXznqvc2qmwmT3sC7FsKI2xwsrRXjjS2Rapo+xWXLHUoZbl41QpYjUdbJjI2rFkQhoaYpQOSaDelLJtE6nadDtylBSPfVcrHazmDT4nAGqX0ivAr5e2MxlrY1sP+vbNdjJFNo1tCddtZuMBIGKVf+eQD+OkWM55zd19AcJNY0hCDh4I8IhDJhK/O/iV4AGH0q6FegtPAM4JoVADz6bDfciCpGL16TpVn5MlaV7TS3NyfK5UCd8DC9SnDecZUgCoz4r7+9JbluHvDtvZ/j04pYqOp51rw3RZjxlizpBwBs4lBGeQnkSSSHhQIXxiHDGAtUsXgwdNzNpmdxXOKxg3jxjHsjvvyyhQ3AvAgxa4x+H5DF7AwT2mQnpahcqSO6ZVKDOhIxfnT6eGyNBkk2uZKaOgFTXfQ8yZuh77u4ZgfhZrHghIIRHohzgngOsBo9X4eepUZiiXzO3mhHTLsM7kXxVgbfLzUpyre+ep30aCEXDbjy/GyEQCToQHV41ksO7VCNXPry2J5ZO1KufESpxdbpmFae0mSVQ5VV2Dm6dj5knXhbKsvWhQXbN/ydcIauiVdchKvonPCKORqAzxKKLVnUAVqVBV7fMW17m9iIGPrCreVhNr1yaDdd/WBeu8NVAysHaPtiWcN3NMEtlEY6XmcPCBgYzzsiE9HeJR5EapB2a+6TG0OMOd69toamXJDeUMeel8izPbJm3H0PTUsf2Wh31OfZkKIzV97PO3rwMPOC67eokOLSqHOvuYExXR83wbirT/vYL/BiPCh49UynzaJV0NGuvmRbl1f5ijRnk+12FMtd4LlILkBS1stfehSMI2eKMJ3mgpYpSbNix/SG9vwgta8Mw2T4XLlNKlwqQ2D6uiHpHbM059P4CBsOGlb8/gW4i1H+Dct35ZKVFBSki7Ye03PTQ9ZhWoplalDIYpxlSIdxHW5hxe07fzTF+HzX1jDuH3ghTris43AEAgmzv2iv/+LBgp8qbUqPqqZf4+eiE8u2YmiSqwUpmxxLmKoM9hW3I305NjlMaI4xBgDDJff6hI1p+EFd0/7qo8SSfK7jMcVN/URW8AU3XPjsc9qEnakvw4TT1iPSmrOqZD4nrNh6qyCaieQOORwJOb+idU/YbziGgHIrqZiB4kogeI6OyCNkcR0QYiWqKnT/Z9oS9Qs47V3BuWgGjHJBLVO8rkpPgeeDPIOTwv4wS9podGwHHc1oPWeTYZYTBHmFJnmiVZDX1Mv6WOv9P3x60StfS7/wOv6eMjH3w5vMEmmO+D+x5Gf/tzwPM7k4wLakSZOSLlWAGnx5Z2rIag2ORyj6HpK4Lj+RzMI3iBWVZkxwuUkuQ3h7Bo/6M0MWqmZKk1aOe32vtQeLot1+28wNPHYfY83Jwn4Gj5PKOOuWO0GRUKAE65+DeVmJOIM1gT47jkRx8C+YHNPeoF61DIDEEuwtjgP1iBtXsOo0R5Td8h8L4mdR7g+ZpAOfWiquqBWXJJmNvycefr/xGcCP/wL9/BJ8/9XJ/hPIKvQ6xFU5USRUQnENGfiGgpEXVUECWic/Wz7V4iuomIdnK2Jc4z7YY+LrzDZhaJquuoOrpQFCz34/QK9tmhUezkHtzgyjTdz1VnQNqio+QTxtu6jhMjYDjI9RTpJ7+PivfLq1BpOLGzsXsVrT6kXQCgcKwzaZwH04b1Ggz2R8pybdZMFIxWXxPrls+ww7DftW2ZTaJ3Xgzgw1LKvQG8HMAZRLR3QbtbpZQH6umCvi/0BWzSdT7GKRkn5fnggQml+FaNYr7jVB2H6rdSh9hsKaViSE+pCqWmVJFSnwMNpW74g36qdgz6+M2cRxwny6wysdtPhLouE3oyBUIdcqByZHJE0TFGukeeDYXp3mJckZVW4KUhPa1E/f66ay15uvPD+1ji4zc4/KZvyZQhVH5zyKpNZtlvDsFrDmnyFGhCxuA3U6LmkimfM6xePeooUBwNT/cE4yoHx9ehvO997CiHNHRiLXmQwdooOr88+1qVuO1gvdNpJ3fFesHcllWlXKUxxb0Y69P2OjFLyFpZgua3PIs1c0J65IScwTgGT/+R8/2yWLcQZX4LRTpTrL94wWm45Ip/QqPPcF5VUnnZo4uIOIArALwawN4ATi54dt0N4GAp5f4ArgdwkbNt3HmmndjzhRdY7W9PRJyI7iai/9LLuxDR7zQb/C4RBXp9Qy8v1dt37nbsMp+TkJf588oSlUBdYGf4zTrYKmWjqk1+nXPOveYUyUXTz0nd8e1GCoZaMaSICPjz2vHCY7htmrmwIqNOAuV+AsAAqT/XMyPZYpZ1kgHLsJZBtuCpJAYyCl8+V6oMq25YOtN8yv42+fMbrJNfXVOZ7D70HFdqd63fcJ6UcoWUcrGe3wTgIQDbPYeX/pzbdD6/bK6Mo0QRY5CvPcs6MK8ZKCWgGYA3A3hNv9MBDvrY912vQDDkIxj0EQwGCAZ8NFseBhrK0Q76ahpo6HUtD8GAD39Q7eO31HHMMYMh3zlHoK6jFeDxt7WsgyVfET74gSaAfjZPJt+tX4e7SDtWn6kyDUpFyKpRrYBjIOBoaTXoiPf+tSU3h3/lYQQNoyBpIqTJlN9s4OnFv4DfbMFrDsJrDoIHTfjNFvxmA17gIWh4uOKcwxA0OHxznA41SqlOu+04x17Hhx/7JgKP4Zy/u0CFpViqopHu+JH56+TzJQuwPvbKv8lg7TUbWPHjH4M3Azx91zOFWKtlXoq1wTuPtdf08MOV/4NgyLdYv/zKf8lgba7j85fcBq/ZgNcMNJHyU6wZx/ev/Uya/5bD2SjmBmuVx8TUCxpXv6vBuh+rVqJKj3kIgKVSymVSyhDAdQDe4DaQUt4spRzTi3cA2L6vC6xpvXz7s6EetsY+D+BSKeXuANYBMEN+vxfAOr3+Ut2udyMGLuPqNgVEqqNKtbOtyNEa52lKEmTaAthETVA0Xh7a6aM3WUfzLvlJVeUL8qTHtT3ntyxZanlUqDq1nUJWHWHCjnOpNWNS/bkWDfXfLyETxur2e3KvmDRX/c7dSFWunanrBSBzLvaX76m8tgbrLUF8KnudqOKG1VON69kZwIsB/K5g8yuI6B4i+hkR7TNlF755bOqfX/reMT2bwHhKQvwA/KarQH5g1SjebKSEKkekjANc9tMlVq0IhnxLqPxBH43hhnK2g4FSnAZ9HPv9TyEY8nHYP7/JrrNtWh4+fvz5uPL6P9pzck3mjArFfc8qZ5Y86dpHsobKS9CpQYypvChd5ycNnXFLpgyRCpqKAAUNT6tQHny9rD45/AbHbke+AX6DI2h4uPLcw9FoeYpkNbiab3J89Oo7FYEKuN3mO8RsqOFh9oCPgYBbFeprL/obBJzha/9+viVQJiRpnoEdz9Qc1q1TvqlVKId8Oli7hGqXv9ytEGuFrcKyCGuDd4pr2i6P9b3/dGGGLBusP/mpV2ewNqE8YhzwfLxWPAh4XlZRLcOadMofGaU7xbpno9R3lU0lth0Ad+DFJ1H9AvheAD9zlptEdCcR3UFEb+z9wjutlhckou0BvBbAZwCcS8oTHAPgFN3kWwDOB3AlFCs8X6+/HsCXiYhkYcENx5JQJWgX9dJy1klioFyPvY0ywLBsZ9sDgBTgG55GMntblBmFirBS1C68gWZRmMmBqsqNWTEmsM3A5JQJhnSEdKK09x0jwqAYV6TOXIu7n15ZFkpyyVLa26dCNs1fl0vkXIJX9B1q8ITtZ/lde+MVYd3RO9PBuicrw7FmHtSyjTF2Hfa6Opkqc7Hua/8CQrb4f2/D4jtur7U/EQ0B+AGAc6SUubGSsBjATlLKESJ6DYAfAdhjEpe72ey5eH6t+u7V2Potp0IaEuKpN34KmmBRCN4MIBMBmaSImyTkv9nrHHz1ni+COCEJOZifwGt6SKIE197+JE5+6TaQBYODEyfccdbnEQwGuOcrNyIYDJwinqou0Zfuugjsbw9S+TmDTe1gG1aVYs2muk7fx6wP/QqjX3+Lyvs06gTrJFKMkFFsDAnxOUMkJHyhHGwr4IiFRKL/s6dfdS4uOVVFVowOTIzAuABPCAlnkEIi0b+RFBJCP9AMWQKAF++/CPc+uFLtS6qoJmNpwjr3GAKfp8RNE6ith9WLcivQ4TyrfKThPFXeQP2vCMVkShJD+/unQ4yPAn6UwZqLBELjXIQ1cUI8ThmsZSKRROpTmO9egjfjzFa9z2Ptt5TSyXzPYp0qYwprCpoK6w//GqNfe2M2qbxA/XGxNuFanxNYQvA4wReEZt+987L73X3Hbbj7d+rZtfrZZwCgXi2dsnMQvRPAwQCOdFbvJKV8ioh2BfArIrpPSvnIZM5TV0q4DMDHkH6p+QDWS2mlIpcNWqYopYyJaINuv7ryDGU93IxzrCBSwxSq7QUONpnTh5Jnjs2zP0+HU80pKNt0GYIvb265gjo2ylqZmgZurpJ7zG4mu7SrS6Ay+/SVkFWMbzfSDEBh7ZKqXshMERnL/aG7Yb3rcG8Pjl6xrmNFAwy/7LAj8LLDjrDLV11+UUcbACAiH4pAfUdK+cP8dpdUSSl/SkT/RkQLpJTV/+OZadP3/NIOaMHJp0NGY0qd8AMgjiD9CBRHoEYTPBGQmkjl7ZqnvopkKEASJkj8BKLpQUQJROLhr4/bVTtldfNIfd+mAxynFbGZrpK94fENIE5YuN9CpUgEnla+UgLF9XyqQgUYueI1aa+tvIprzkfqqaOcq+n+ns3DixlD05MQUmIg4Ej0jX/tBy7HUJjYpO5xIkSJAOcCSSLg+RJJLOBJBiGkfRxIU5xWP7QeemQN/AZPx8Pz0h54XFdJN8TJhBOHmj5iITGr6aUhKZYqKqZelFFBCp9mjlojncF7yQss1tLzwf2oFGtVJyxEEibgcznaGyYs1oZEuQRKCtGB9axthzC2esySJ1XMU6lNqcqZxZplFEeNtemNmVftc88VgzVB98CMRQZrv0c13lheKT/40MNx8KGHK4zvvRv/9d1vF1V1fgqAOxbZ9npdxojoVQD+EcCRUsoJs15K+ZT+XEZEv4ZS4aeXRBHR6wCslFLeRURHTeZkeROyntNPLybrXAGUO9jJGO/8Wbo5VQCgJIR0xu7r5dYiIltDqEyNAhShETkiVXW+2RNrsKExv/v5S9ZXdTUtohH/7/5ncep+CzvWTwbriDfhibAY635MlBxHE7M6WOdtMlj3a3XCdSXnJwBXAXhISnlJSZtFAJ6VUkoiOgTqUtf0eambzabz+ZUhGMQA5umEcuVMM2qUEPZha1QJU0dKhLFKQI5iiDBGEsWQiYckTCASaYmT61ztEDJMD+NiingGHK0DF9mQktcMtHNNQ4meVinMtZGvrvORf78Ge5x7dmcor+SeN8qEx1TxXl8w+EIiEhINyWwttCT39uCxtChnGAs1JUIRKF+pT1JKSCGx7yf+Gvd+9qr0nMx8b7Lj4TFPVScPOMvkYjVsGNGzZCrQZQGaHs/kcPlcEaj9TjgHD//ycv393OTQHNbEamPNzrgI8WUfKsQ6GPJrYw0A3OeIxmM0hhuqmKZTA2rVfSuw3WG7ZbA2hIoazQzW5CsyRX5QGrZVxCntyGTIZRHW/Vilbynf9gcAexDRLlDk6SSkirK57hcD+CqAE6SUK531cwGMSSkniGgBgMOQTTrvy+ooUYcBOFFL+k0AwwAuBzCHiDz9NueyQcMUnyQiD8BslDx8P/OZT1vnfcDLDseJxx6lFsoUioJlo1TEvAkv0SG9IgdbRqy6OOPaFbRFrHpuVNiq8RhbtXrPIyoiUgAyZAroJEISqCRQVZymWx2psl/t5H07CVTepHvuGlh7QiWYd6hSQCd+VQS6G9YF5LlrPlUfdustt+DWW2/pa1/XJlFL5TAApwG4j4iW6HX/AGBHAJBSfgXAWwF8gIhiqOjLSV1D8jPTpu359anPfR4kEkDE+NyPHsbELz+rCIh2UhAJIIR6KdKf7h1mCnEmfoRtPnE5VvzT+5D4sVKthIAIY+tURYGqAaBj/DvSw3rYru2+6i1myFSHU9WOf9Pdd2L3sz4A8nxdU43ZT2PDh56B1bddYcfhdDuo+FqR8BmhyZWS1PQYhJRo6ZIrpn7UeBiDM8KEIVCxQCKk/UyERCIVmfrTpdeg4f5mmkS5FdLdUgqZIp+6h2DgMZVU7iti1fCYCkU5eT2qxhXw4I2XgaGkU4aj1kjmgTzPEhLEEdAoxpq+fT4w2ALzfcTtCTBNoGRTIAljiCiG19SYOzgbImVIVDesdzzqL2zPwEICZT4DHcL1fEjGs1gXkakc1pwI9/3+dvz+t7chERJRyb3ZzYqUdGNe2cuqUofPBHAjAA7gainlA0R0AYA7pZQ3APgCgCEA39cRkid0T7y9AHyViASUC7tQSvlgXxfvGPXyXNRvch+RUr6OiL4P4AdSyuuI6CsA7pVS/hsRnQFgPynl+4noJABvllK+veBYcmR0rLygY95Zdlu2X2iSKpQ5fA5EvmEFktnbIHjmIYTbODm2FSqF+8u6L2Nl64HsWE1F36QIrjyZmozVKsLZsT1tUJWcPqOxLsvFM+fPP2CmEOs5swYhZUGJ4gojInn/0xu6ttt329k9H/uFalP9/GqvXw1KIiBug6I2KIlAcRuIQsj2KGTYhpxoQ7RHISfaajkOISfaiNshhKM8iTCGiCKtQqUEKs2RKfkPcNbhXJkZJ82UVfA9nHfOD3DR1afhY3/9bXzxex9QiknQBDVayrG2BtW61iAk9yG9pvr0m5BeA/ACSK+JUABhIhALNepCmAhsCgU4I7TjBBOxwFiUoB0LTMQCE4mw82EiMB4mDnlKLImacAmUMxWZO2abS6K8DJniljwFWnlqagLV8BiaugxD02MY8JVCFXBdgZurydfzHoTFd6ZiPXffPbHp0eVpD1DdkQGejyNhd78AACAASURBVInVazGw8659YR0LqXFWqpP5zGP9xn23rf2cIaIFc+bOW3XzfeVRtAfuuRvvfO0xd0kpD65zzM1pkxn25eMAriOiT0PVZTCa61UAvk1ESwGshZLbercuClRZQnHHKNs1HW23YoqyMQQQKydQ+fa1zlqdK5NPPA6YGgYiz5nyxKcXUlWlZhTWj+poU7F/3YuYCVjnzhfCQ4A4PX8J1qEA6lY5mOq8qOdRUd+ZaJN/fjGmxjXK5JN4gCfU275pBqg3fsYgQtU93uccIoyQ+LFSJvwYMgmsY5VCQCY6SVkUO1fS8VwzkLAqnKhrFZlPU2ARAB8YwCU/PFupT42mCucYhcJVJpjuMMHTjhPuf4bpvChT4mAwYAgTCZ8xCAY0CrwKJ8Jp+y/EN+95BoElTkyrTyKrQgmJWBSHAoGURHk5EmWqZ2fUKJs4niVQKoTHbII5Z1plYenLXub/xRikIJD5XUSSwVqKBEgS9XvmsfYDiHbbYi2bwgnbdsfa4FyF9fiKZxHMGrDK1LJjzsHu//vvoKCJgd3ma9Ux6MD6wcbu2Es8nelAYLDOvPTmes5VYV3Xqop0Pp/G/ezpJ5BS/hrAr/X8MqiaDfk2bQBv6+diMmGeIuumFhQdk5hSjxbt1fsFOQ8O0ZpduD6/rut36HZKJ18GSEmLABCaBEvnBEV8iTMqXF//GorXdyNQvdz3Hb9TDeIUUqCITQXWxibg9za8Sg7TDIHKGRvfADEwV7VjveVDZU6Zw7pXex49Z2aETcfzS1LqWKUUgPRAUoB8CTGyXoVNnPaMc8go0oU4I7A4goy0UpEIcONY9SSEwD9/9Mc4/8LXF56fOENjzhCijWMZdYI4s8O6kB/gkuvPTLu3N9IwHvlBGuIJGpDBECCFDfPkXyBMby3jVE3PLU4EyQDBCe6TwvbcYxI3PLwGswIPkScQaRXLkKfYCedtPdzAivXjpUoUkIYGXTXKc8mUQ558TmiYnniMrAJlQnkmt4sTqZpIcIhUxw9uwnk8gzXpMf6Ic8iJdhbrOAT3fDx52OnY4ZeXKqybxVgDikA98vbzsdv3zu/AGgBYTonKY02ej93/8E1Qc7AQ6zMPPB1XLP0uQAx7xU8oFcoQ5/yLaQ5rToAowbpXYxWe8vn0aJv5AxADtVSJQmKj27gE6okxwo4DJX/ObjkuZdud9fkec+1EIsh5u3ybvEJR5FxdMpU5Vu5uk7KYWAHAYDKKUd45HE43RaPoW/faG6/I4XclUmYdAEhRSWzy+3UlUD1gzcY3pCSamCVQgP4OUnSoW+a71cG6X+NbpKjNb8apElNkihkyJcDnbg0xMY7MUDCxD/IiyNi3DpaCJigOwYUARAIRqnvXhHgu/PdTrTKx8CvP4tn3d+YdNuYOOWEep8xCrnaVW03dOFzjYCXz1IDKzLPKxA+XS7xpl07napKMLXmyd7zRz42aIcAYIWICnlBkKhKEiEk0PIZI9+JLZKpChbHA/KGGJVFGlTr8w+/EHZd+x15DxzBHpvu96S3IVa87m//EHRWKGRUqHTfPqFFM90Rj0P9dYqBwHJL7KdbcA6S0WLNGSz2b3YF9c1jv/IdrIAeHM1jLJIGI1HPNlEYAgL1/cTEwZyh7qxkSlQnplWDNucX5I0f9PS75wxU2B+6Kpd9V9ykPFNYrHwW23yeD8aZI2NEnirCWAIIc1j0ZVXeMqTG07IyxGUOiNkwIzG6wYiXHca5jCWGAy+yfuiyMU+AodxxE0RmqrYfk4jx/aXKqNwxIiXMtI1NAcc6U8athIjsGOR7zBkEAWpRgXFaPr1f1t3Adf0O0McGaXVWR2r3zupBkmhjprC7u7teDsYlRCF0DzFv3JOK52xceR7RmV4duXcVSw5X/qi6Zmqqw3hYOtXlNkn6XJobdP3oLHrnocEgpQMzTWIdgjZatHQXG8IW1u+GjrXuVgw0SyDhSzjTSnyIBb4p0Hsh0llj3Mf0S5FYU10N52PVmaA/XmZrSBZ6vHK/nQ060wYbmqGKLTE1gXiak96adlIsgEat1UM8Ggla8hQQngiAALCVSjCQYAyJGiIR0PgUakiFKBIQEEikz84BKR/jitUtwzikH2mUA+NNXv4+5AN7zzH/i29u+SV0LpUUyua71ZIiTLQppiBVndrnpcTACvPPeDfa5a9S+UGTKECkg/R+LxqAaO9VNLicqx9rzVcmDKMxg/bNTL8arrz7T4ktCgJVgDa1u5bFWtxzH+Sf9G86//mwQ4/jQiRfjshvPc4hUivUld11pQ7fwDMYO1tvtZb+P+W6zfIZYpljPaxDWTLhYm99GYd2PVT6/nkfPtp4Sy6f0xDqxHCh2rpW/YZ3cl36Tjus447KeAyXNXYfp3/tzRPufUKtt5tgap/FYouV1/jobJgRmNcqvvckpU3DTtTr0w2OEkt1rF+wsa9sL1kYVoiRMe0P2g3Vd0tUH1sFDv0K41zG12gLA7KGBvhLLH1mVr4/ZabttNbwlsXwajIjk+Kb1aoQEEdteepSEQOIsCxV+JpFARmFKmoyD1T34pEhUbSnjOHWODQCbJ1N6LaaXk1El3BpGxqG7ioWuD6TUJ97hVMH1Mg+yy8zDOQN74fObHkSiSU8igEhIO+9+CglEidBESSUkv/vTN+Jrn3gVEgkI0wtPAu847R9x7Tc/Zf8TLqECgJMWjuK6ZwczOZyZCuPMIVOOImXmD1o0iAdWj8NnTOdSwVGgTE8/2E+POQoVQWEZh1msRayURHdZxCApO7CGxv+swz6Cy3/zOTzzsxux6NhjFN4O1tHKp+EtWFSNNU8JcwfWpk5ZXp3KYW1UNRdbyTjgBTh7+MW4bOwhJFKpgIkluzKDu/u537Zzekosnztv3qrf//Gx0jb3LVmMNx931PMisXzGkijbrtuBjAM1MvR0WbfE85L1VYpDP/sAnerUdFq3cFMvBKqqfdU+1kRcno82RT317PEqrA5uXIRIWFryomqffknUY6uLatFlbecFs7aQqGkwIpLjIxuV43RIkyJMJesMmUoSyDhUqoNWITbe/isMv+yVkIlDokyOjCFWRdfhho8Aq1oY0mRVKlNYkXGlRpjQo/nUZMl037frdGjPrFNOFGn4TcJ+ytx6oy5J7YxN2E4IIBIiQ6QA6O3663d5CDLmkqlUkQKQIVB2mBLOtHoGEFLCZPOhHAJlVLYOEpXHVcSqM0tNrCf+eCeC3fdPcU8UgWKz50OsW9UV6w68i7DWY8faIXwKsLY5XXkCZbDmAdZ/6ROY9cGLCrGWgEOiJASAv1hYvxewIVF3/umx0jb3LlmMNx37/CBRMyKcVxXqMX+lUnSMw8vXaOrDqS5ZOYEDF7Y6jzMFvfBC0ZkbVWamWdlzpCknMMGaHevrkKtEdsabJ5Pf5EdjiPz6pdonhXUZSe4R6w0RMNtHzyHAXqirS6CqbDLJ4VvCeZvfTC6UNOENmWYHScYAwZUzZZ66T0UMcKHUAimUapEkmPOXKnFcOuTJhHPqkSiOgXd9B2PXnpauZxzJupXgC7ZxxvfzMgnj7vAuNrnYTTLWxWf/48F1OGXfrex5GVRSvYS08WlJAASBOMAtiVLkymOqrZDAwEUfwMhHr7T1hSyJEuk8UNzL+L8fWonX7rV1hyIFwBImputHEZAmRcMQJuhK66rt+jPejvlXfg+c0kF2GZEd5qQSa0CFb2ti3XrxkZY4ZbAWAmzWnNpYH3xdjDtP0dWzDEk294Gnn5GGLNXAOrNePxPnnKUIFCOdZ6t7ZMJ0WmISJKmjhmEv9gKJ5s0MJcqYuWnbiUSzS2ZZtx+Zr1uOZO4OXVr1br38Wi4J2jCRYHajMw+p3+M911bH2Zu8H9P04bUT2HNeo7BtL+Rhc/2hJoMNh0CSC5SWHW/WYH9K1PI13ZWoHeZvUaKmw4hIjo+OpMqDUAnGkALfWTqBd+7C7DLpT9OGpLTbzAsAOfOQAmfs9jaVAOye03lWyzyDNi8E7osBOdX3c7k8xmlmHK11vGlujNTq1IITzsfqX3xakSJkVSYhZbpOpPNS6iRkaZalzeM06wBYcgVnm53P/+6FWKjPtEcd5cb3U/WeYiH1ulRxYpo8hYnEghZHO5F2nwWHn4ENv73CkmOrPBkcRZLFMYe16bHXDWsQU4Qrh7Uksph3xdvF0cG7FGtLqDuxBjGwxf+N6KDXO1gadTGLrwnH7tjDc8YoUUv+/Hhpm3vvXozXv+rI54USNaNIlLGp6LpNXRSkvE3lr9AP2elll6Kk8X7PC9T/vT0C4tw5RiOBQV0oqR/Ypqqbfq+HKXo49/PzTQXW/ZKop9eNdG237dyhLSRqGswlUdY5JtoRynKyZB2taSeceaRESa56DLTVzvVVVudZZx2uWceyDjdfuoDiNmQwlHGoVpXIO2VoB4osMcqTKeNWzDo46794yzJ86IhdnDbZr9KrTzJKer6+k+lCb9SohRsfwcrh3SxxYgQc/4Vb8YuPvjJdh1SpIqQ90zqIkotbn1gDWWKc31b+hTuxJinT8fycNh1lKvLkqghrrfib0Go3rAFg0Zz6zxlDou6tIFH33L0Yr3uekKjNGs4rGwbF/VP162TLimf26ywB4OePrMcJu82xITEWjkEEA1OmEFmJuEu7IgIF9PZbbZxIMFygjFVZnkARgKGKSpNl6ptr/WDtbVyBeHibzDqJ4lBlXSv6zcsUUXPN/Z7L3W0yt86WcN7mteHDPoiNt3/JLpthg4yTlUBWcYB2du56u7POfzLrt98nvTectnzdU0jmbgebB1j2ophTpABg6FXnYeSmz+IpMYht+RgefO+7sPfV10L6OoWBOY7X7FekcCElGAIEDiCWasgXV2kCXLVJ2Xgk8Q/H7JZRm/JhO6lrNVX9N/Y/9XLc952zM+vyhYPzCtX6ubsjcNoRATd9/AirFxvyZL7fwuPPw6pffLrj+yvC4ahKvWAtBc7a6nD866rbbOjX2IbGfMxur8piW1TeJ2+a3GbaEMO3lk7gXXs0M+3sJ2Pg655EPG/HUoxNL2KDNYhAUimHnDqx7tVeKMU2Z6QS9VxaUdiljk3GYdc1LmMkNP0895nRGIsGZ0R6HIKHfoV7tz4UL5rfmfNVZpzSt6a+zrnucYRzd+p5P3MPTPZeGOpTiXp2fXclamEPb4hbrL4RkRwfc55fOUeZsdxyZWX9HgdPpwduhtzn6M4NJeOSGYK0dBOw+yxzkFzbAgJm93cvtSLsJiTg/fJriF91etom52tMhaHJdglZ+Moz8eytX7bLRd+8W2Hg/B+kdIgqoBLfc4b2w9UHHoONt16q9i3D2sGZr38SyZzti9vVsLPnvASXb7w7e0k1yPXjIxI7zeK4d/UE9l/QqI11fhvQm5pulKgHlz1R2mbJ3Yvx6qOPeF4oUf/nSdRUmReOIA6GSrevbSeY1+yu/HgTGxE3hjvWP7x2AgM+w/az/LRtNIa4h6TuF6I9F2S2jk2GyPVLolZuGO3abuvZvY/Lt8W6GxHJsbHpeX7Vqalm2pR99mp3n3AcXvzzX5Run32okx/kmJsDCQA/2vEleOMTd3XsP3zoGQCAjb+9wq5b+jdvxe5fv773i51mM9/J/Zwue2JjhO1n+VOKZT8WPLEY4Y4Hdayve/rWQG8kat68+av++GgFiVq8GMcd/cotJKryxFNAop7LK5/svTwepxVggfRP0q9N959rcyexF52/l0taPR5jQUGouI4ROtUpowpOVvUqsn5J1JqN3UnU/OFOEkVEJwC4HGoU9K9LKS/MbW8AuAbASwCsAfAOKeVjvVzfC90Miaoz2HSRAuNa/hHc74DijAhCytKwlm2X2Vas0FBu3duvWYLvvetAu95b85gKBQGlKlxGhckrbGUKTVEYq8rqhDONsVxILt+2RIErwrUK64HRZzA2qGo9dcNa7d+5ctsjP4inf/Olzsbauo15+vez9sbnNj2o2gLwfnIJkhM/jIFlv8XYroeWKnGFClyZyurMt2b1Vidq3rz5qx5+rJxE3b14MY49aguJqj5xFxLlXlVRQnPeGptWYGLWNtWNpsh+/9QIDtmuU3WaDK95rt88psqmimxN511Ylog/WZuKIzICBnp4i7PnJpLrNnUnUXNnZUkUEXEADwM4FsCTAP4A4GQp5YNOm78DsL+U8v1EdBKAN0kp39HL9b3QzSVRboKtm3wLKAc5Z/nvsW6HQ5w26XGMA71g3r74p7X3O+uz58s/pkvHtyx1jmke0A5HfRBPaQdNuW1ufpA5nutgbZK1+TTJ00mcJT+5RPn8+o5PdAlzdrFKUpT7tEnV7jZW0JNRz2fwRZpkDSDX21DaNrDtzHwKYFWYrMiuu+8ZvGPfRcUDwheS3hTPojYmiR7IJtKbNpn2OawBFCbWN+ct6plEPfJ4NYk65shiEjWZl0Ai+nsA74UaOvwsKeWNda65ymZGIoxj5p4KxtYgHJgPoJNAeTJGnMsVmpi1Ta0bMpGy9phjZYQmT6CMk3ZP34tHZLmbvRczu1DchvTq5xGVWa9kxr3mXgnVZIhTL+fyWHbonaKE935+e3PIqI8aYFNhfY67dwiApXoAXhDRdQDeAOBBp80bAJyv568H8GUiIrm53rhmqFX1Ujtv9j74l/UPQEpg5bYvhdTypZDAgtu/iWcPfTdg2wMfXXkfxqOURLh0wv3Vb39iPQ7bcU7mOtzboIgEqWVpe6s9ctO/IkykJVBfvHUZPnLELk6PNAJB6nwlyhCp9KI6SzsU9lJzu/0DaXtkCdbTX/0itj39Qx3nKLV8onsVUWLMWa/HOMyXfJBm7MOCJG1zOejeI7GoN6JJH8+UdXDrYbnnKPiHnfiirTEe69+MgH2PPwf333hZLazTOlkuuZJ2nSTCt+9ZgfccsMiSqY6XeYNj4gz+nse6D6t6fpVt0i+BV8B5CSSiG9yXQCiStE5Kubt+Cfw8gHcQ0d4ATgKwD4BtAfySiPaUUlZXOO1iM4ZE5e8dQ6DyJiQQwrM7DKx7DGNzdy5sWxQW6mXQ1ipH7d5kRSpHPlegznGqrFuzqSBQ3c7TzYPmi4R6SRsxLygKWvNapiukaAiUG5qri3WR+ZuBQAF954JtB2C5s/wkgJeVtZFSxkS0AcB8AKv7OuML2Fyn6tZI+uTa+3WVbmTq6Ugpsfxl7wISVT/p0kX746wV93SoVBLAtkMelm/MDqR9wKJZGAmTjnCO6c1kX6r0eGZuoUnlXFPlwShPZx22M2I9Bh6R7n0FNUYak1L1wCtwqi6BMjWTWHsTRNDKEKzKulh62u6v3gcKU2XVVm4vMeLZl6C8umRIlXQKh0oiS5Tcmkl24GgSikxxNR7e8o+9Fztc/C2LR1m9pKraWGktLYNrek+Y4xpLaj7w7vzvS9GOJXaeHeDxDaElRUB3rF1SxXUB1NP2X6SS/KXMsheXCBsCZfAU7nIfJIqqn4cVbrrvl0C9/jop5QSAR4loqT7e//b+BVKbMSTq0fUhdplTXOW56t5yCVT+RXkyuSvd3vLzXfMJneTA/LHKnF03p1rbR05CBnfNX/kwooUvssuxVKHUouup+mkNeS0iUN2sF+IkpcR//XktXrfHvJ7OQUSQUlqFs1esC68F1XhNR5i2KC/illtuwa233DL1J9tiHSaREqiFrzwTy3/9pQxhMg7UDI2RJVNq//ctX4LxSNjhUNwhUDa0o8wzLD8USn7oEwCZ4U/KKnhz40id+a0GPKxrJ+CkCQlTROqZsRjbDKnOLJEAAsqqS7bgpB4WRXo+KGqnxMkUqLTz0lbtzldnF3bcQDeXKkemWK5zjjP48pkHno4v3/8Nu/zsooOwcO0DlkSpauMOqWoMqjE4dYVxYh4kgxrGhXvY4aKr4JaRMFgbAuWOEVgH6yQ39E0iJY5+80dx0w8uAoDaWC8Y8LFuPMJ9E7HGnnrC2pBlVWU+xVoQQHl/VYC15D4obqfD4PQhUBOqBQ1e/jSdzEvgdgDuyO27XS/XXWQzgkRJoJBAdXOok40umC62dY9d5mzNdRY5SrOuWzd6d5T0Sn87RYSpyKKt98wcPx2zvdPMNXZDIBYSnvPDlLWvwlq9JRdv65VAAZ3YThXWddXHzHl6bJ/Zt2DnI488AkceeYRd/uxnP5Nv8hQAt5T/9npdUZsnicgDMBsqt2CLFZiUwFO/+VLHoKz5MeSMahEJYZ2oGS8uSoTNm+kcU674vOvGI8wfUAQnJU6UGUsuv2zGlTOD8CZQ48k9OxqDM0BKAmcSWobCVgMepJT48NDeuHTsofQP7IbxRAxx58/ADzi66xhy0owbZwblNcOgmEGYgSxxyieku6UbzNhx+vNfb78YYtN6O5bc1k/81hagJC/Q62OYoW9YW0Ay7a517hMBikgJAZDAb54cwxE7DkNIWHLkEqj8GHJmWUr13IqEwH89tBLH77kVIiGdQZcV7j/6f5/Dhnasca/GG1DPnQ3tqBBbd9nnZEmVx8iSKM40tJosu1hzKGWqozp6DmsWt9PxAvW6fix/mltuuQW36BfAFU8/DQCzOnaagTYjSFSRld1I3YhTrxSjqH0dYlXkZKsSw/MEqmNcJuaVO9Q6xGkqyFVRj5Yuxd6KFDggVaO8GhJMN6zLCNRU0Mk6WPNcThVQTaY6zuG0cZXJ8USiNYmEd+oyWGmJ/QHAHkS0CxRZOgnAKbk2NwB4N5TM/VYAv9qSD9VpxrEK2TmqvSJLneQpSqR1pmYQXkWgdFuRKhtAmpBcFOphBGzUakRGgSJDpgg+U87VN8uCrJP1GYPHtKJGiiBwBkAQyIyNpgsrXjz6kDqpq0zosI70WxkCRUmoHGscK4UpjtQgvHGkSFMcaRVKk6c4VMdOEkuy1KnqjRlIjAGaOBHjahw7xu0gvOQHgBcpwuT5aplxTQw8QMp0/DgpQJLZoqdH7jCUSwTvHeujdp2PkTCeFNZAGrI1CrQZQDmPNSfAZ8wS5t3mNrFiJIJ0sOYEjMQCsxu8A2trBViLgbnwHrsTmL0IX1vewvsWremTRMmO59eRhx+GIw8/DABw1+LF+MY3vlE0rtVkXgLr7NuzbXYSVXS7FHZvL3mGT4cuU4dYmevJk6l+e9j1TKCmQ5HKHzNPmsz2gurFeXRGo2xJBxS0AaYX6zqF/OpgbR5qfSZyZ49NqWI1GQIF9NebScvbZwK4Eap3y9VSygeI6AIAd0opbwBwFYBv65yBtVBEa4sVmFEmXOcaCTUfC2nVCONQo0RkPhWZ0spEZl4d34R/yiwlTkpZsqoEKafLtHP1OQMjwOdMLQuGJgcEJ/hgECTtmw9xIJEEJpXDFSgO8xjFiY2tUw4xCXUuVAyEE5AueYrCVH2KIyBSqpSMQ6V0uOE9x7kW5UYR5+pZYolUOgivJU6MQfqBWo4jFWb0A3se8gLAUyTBKsgiVsclhhO/8whueNfeuZ6XsPlQRQRKYVwP6yhJFSlAKVipEqk+995qCA+uyhbUTUN2atlnzGJt5hXGEixR2P9xzbi+BwhNj0OQhCBCyyMkUhGorljriW96Fpi9CBAx3rdoDeTIelDQRz6urH5+VWzr+yWQiG4A8B9EdAlUYvkeAH7f+8VnbbOTqLzVdapV7mMy78xD4XqMNuZ0rDfnKyJTRISABEKptgoJjEUCQ4GOpaOPsE3RTVRyYz0+IrHTEE2OWFWpUDXIVJ5IDfqsazi2DGuTs2TbVRyjCOuRUP32dXSaIl6Ux9qEfc21ZdrmSHMdrKcsPapPvKWUPwXw09y6TzrzbQBvm9S1/R8wqZ2g7aUHHcLTTjUWEhOxQCQE2nHWocYZhyuQCOhPmZli0V2dMGovZ4THjjkWe95yEwLOHMWJwBMBnzFEQqLJmbpuIdGQDImUOPCJX+Lh3Y4HGIEEcMx5N+K2C48HSVL/MfemFWmyOIk4VaBEDEo0YQrbikRNjCvSpAmVjBxiJZQqNfeiZVhzzg5IIqVoyEQoRUrP5400gyDGQJyBcWbniXPA8xVJCtsqjOfr5aCZkqlAgIQPBKpnnwSARCWeSylwwym7d2Bt5x2sXQJlsJ4/4OOx9e2+sf7Mxz6PT1z4Mdw6srYSazOlWAsdslVYexr7x1aNYL+tZ0HoCgRNjwOQYFIP46LVsEqsNb5IYqs2UhIBng/Z7l5qpdCqlPSSyv2TeQnU7b4HlYQeAzhjsj3zAGz+OlH5s5tnxdCKezCyzQFdC9UB1aQp4IRQZ+wNr/0zNs7bo6frXD0eY3aDd/TAy1OOusMKjMWiY7y5Dqdal0BNY35UIanqsq4My9rba2Ct2pVsmKSV1t7paFcP627bAABSoDXY+9AsRCTbG7qnKTVnz99SsXwajIjk+k2jykkKVeYkssqTxJe3PQDveXQx2olAlAhMxALtRFiH2o5TpxrGyqFO6E+1rO7+jx+5Cz510yMAgIk3nwjv+h/ba+AdDlXdqYHH0PAYOCN88tzPYfej34iz37G/DfE0OIPPVRufEZq6fdPj8JgKwfvaYfuMEHAzDxz7r/+Lm963n3KgSQiKlTOlJASSUClQYVtNE21FnMK2JU8ybANxBBFGkEIgCWNIISDCGDIREEIoEqXJk8w5U9Lf0RIpzsAYAws8Ne97YPqTjBKlSRU1miqcFzRBjZb6DJqAH6g8KU+RLMkDgAeQ3If0AiTkWVyLsDYE6tnRCQz4vAPrKJGaRKf4GqzVsvLjLqHKWxHWZt5gHXgMAWc2VGs+G15/WJOIVSeBGlgHh7yhpzpR8+fNW/XUo38ubXPX4rtx2NGvel4U25xRSpR779QhUPkemUBas8lIo22nyNT6ubt39cD5Hk9lVa/zSel5lUL1ypAdAykOeAVExLU8MeqRPPUV4qmrQhWsc4ddKcuPAoCVYzG2Gkh/y14IlOl+bWxQjGOUtZxjSTw9EmPbod5u5zzW5hI68irRHWtGKoQ5WDEgc4dNkgRPMnX9eQAAIABJREFUpjjhFpsaM6E81a1d2ryYv358sVImHAI1oZ2nIVFhLLDD7BYefHYTwlggjBP84Ef34jWv2ccqEx/+yR8BaCXqmuuBsWzJA+NIAVhnah2qx/GJCz+GhscwGiYIuIQvCImQaGr1oanJiAoDCpCuMMQJeHDVKA5YOKSfpeocvzzjJUAcZvJlkA/hGQIVtq0SZZQp0W4jiWKIKIYIYySRJk9RDJkkEFqFcolUkSnVSSlQijT5IM7AfUWmeDMAD2JLphDoMGEjG3qKdz0EwYoH1DNQxEBCgO6t59pWrzwTT/3mS4VYR0JhOuBzjEUJIk2IDdbf/OVSvPnwnS15esvXz8G33vkFhzBLfPPCL+Hkj5yRYq0/Xf/hEilPY8ztJ7PkuRVwi3WDpyFCgzWge+hprJnOhTr2szfj5vOO1s/B4twoi3UcZ8hyP1YZzntOxyOZnM0IElVUkdw41adGImw35JeWz3d9r5ASHktjy/2Yu6/rZIscbJFzdZOQ64xE3VNPvIKbbiocqXuMDkLldPEtWscr+zimtk1L6adF1o0s57vCjrJWB8a9EiigGmuRI8BVRKo5rgrDGgJVVJ8MmMIwnr2ILSRqc5pKKge2fvJ3WL7NIUikym2JEqU+bGjHePOp/4D/uObT1qm2Y4F2nGA8TDARC9y1cZ0mUGr7Ua96EdaPRR2hHqAzpNepTqSOteExBF6CwGMIPY5YSOtgVf4N0JBM5dhopw8A2w8HWDWmkqD/YsGAJVDSjfO4BRdFYkN6wpAlE86bGIdwHK2IYsTtECJUnzIRiNsTGSWqW0ivLJRnlCjue2C+jySKwX3PkikuEqAgd4c/fBtkc1AXUPJsmDL/911zzg5oQydm29yoFOt27JJkqchUItGOE7zu5TtiUztGGAuMhzG+8vYLkbRjTMSpCvn6M9+HDQ7uHdfZFWtmsZ6IBe5+bB1ete/CDNaATkJP5P9n77vDJanK9N/vnKrq7nvvBGaGNGQBlRxEggxhRRFMYEbXBO6qq6C45vhjURRRERF03TUrBhZFRQEVFElLUpFBJGeGNPmG7q6qc87vjxPqVHVVp3svM8PO9zz1VHXF0/VW1/f2+33nO2iRdLlVX9x8L3xk+VJc+tHDoQA04rUQjXlZLpSPtZlLG641WA9uqntC+pA9/taFDfC3efYsVdU9tIoESqlOMUl6CXod55bmwe8xtUuKSpWdt+PaHccAjYlHy79ML/OdYsFB0o1axudrH9efuxU5k7K/qWhC13Qh21vGb0uxPXH5CPZVoSxB5STHJ1A1JB1YN5D/5+1jUiSp/eBcRa+LWDMiV/fF7VNxbKuRLwxb9Szf8mTTa+wMEKBCwcLSaaPNuj261QG6p57JjbLhHQCOQE0lAlOJwGScYrylp4lWgomW/znFmqkkm5oJbv3LMkw0E0w0E0wVJrt+bTPBRed8wx030UqxeirBarM80UqwZip212ilIuf0rWKSSIUH1rRxzuK93Hu28jejzDvEPGc6cTz28qHiHIH6wJu+g2SyhY+966dIJltIJpuIxyeRTrYQr51CPK6nxEzt1ZOI1zbRWjWF9tqWm1qrphCvbbp93bFrp3DvJbchmWzh7otuRjrZRDLZQjrZQtqKkUw2c8rJH074operlQBp6koylP1+0ld92GHsT1kulMJ+F52WU6Em4xQn3PFth7XFYNzgs2TnRRnmBscynItYr2kmXbGeaCXYc9v5mGiluPnBVQ7r1MvbSmSWn/W+x27J+bVmNLcU65GXf0kn35dgPZR1fXdtOErUOs2JGvfGzvMdT78l8cuI00x8mzLFYJBBPfV2ypGIKnKRO00VibLKj1lXSp7SWMvQ0zHWyak7lKmKQTofnhDYeo6uWQMR67wCeD1bvFPMNtarWgKb1HnF1rxVqUM+3t2w9sN6FtdBsR42J6r95EM996ttus3GnKhZMDsAdCwUYqHQEhKxcVKWME0lMve5mQhMxVqFasYpmrH+rBUKPRdKQaQSIpVQSkGZXl0AoArsnGyXd0YgRuCc6bnJjbHqRCPiGIk4GhFHIwrccj3gGAkZRkKOkZCjFuhlAFjQCBFxclPdzEnEYHETSFs6XyZtgyVNqCSGnFitFafWJFRzUs/bLSSTLYSjdUw8shyi1YZIUohmrOdGkbrjN3dhh8O306E9oUxIT0GW/LllnECcTCiPtAIVGRUqCsDCAEE9AosCBPUaeD1CUI/A6xHCUZMLVR8Fa4zq5dE5GD3hf9D82b9BBXWs+dX3Med1J0GFDaiwDkEBYqnQTpXBWyKWCs2kHOuWIVBVWFu8q7C+6fzz8JxXv2FaWOvlAI2IY049yGFtcc5w13lyRbzLsKa0BTU1AWWwtViPvPykAXOiNnny0dtvrtznzzffgoOOfNnGnKjpWtn/6HkP34Q1W+/XqRD1OlfFDmURt7m3/Q5rdj0y30nBXM8617J8LGvWsdpcmb6erG4Eypt3ECgpcetaht3nVkBZRrgs+SmG6qw6ZcmUqdyrinlRJcdvPZaRFkugBrFumsmgWM+r8VK8qwpkWivi3Q/WQ1kXxXEQ25gTte4ty5GxYR5bPFP3xLOqTywkpmKBR498ETa79FI8sTY1DlY71lYiIFMJIYxTlQpCSPPHXKE1FSNqhLlr2+eTBbo+UEraqT7rfSfgji9/H7FgiFJWGhq0xpkphWAmqRRGQo5EKoSm+Oa8EGjadEjvPURK6RIBQmRhvDQ2CeVa5UlbMUQrRnv1BESr7T5nYb0E+962Oa47cDGSyRgiljovyhApADkixUwCJjGG1Q+swaJnLwTjBBFz8EiCmzCeEhJ3/vh27P7GffP3jDNwxoG4ZepJMVCaYOr7/+x6Gc59xdv0e8FPczBNkMgX1RyPhS5d4GHdSjOyPNFKPDLVH9Z7vux1aLfy4aw0Fqg1QuhRazKsRcogAtaB9UiUvY8DE/5riwxrW2pBTzpcW8WBfKxt7S+Hucl9G8q6vb82oHfbekGiHhlP3NACVcqYXd0vgerVvb5qP0bAml2PzJ23H+faLTPIyybIWTe/TGkMxQMEK+5HunB7vc5/sLxw3O5zB3TKZSqXb1KaMSMCd93S5PNpWhXWDaYwJSwRnV2si+eeLtZSlRcHnRUpaAN60Tyd7ZkveC/+dslZLpTn6gO5STonGlzwSzy8cso4WJ0nEycCaSIgUk0gRGqdaqZOECMk7c48ESICSzJ1Ik0k/vaZb4K3U4iUQUa8gzz5+TURZ0iYQsgUEiaRCP054tkfm9UxUPM9hf/HTsms9pOUrjbUvRdchm1fsC8+8q/n4ZTTXwbRauvwmkeiRCyRthJcs+UDiCcElFAQiZnHtuBm54+bmFaixjYfRXttGzzUBEomwpGpUErs/NJnQrTyoSaXjM4YVBq6GlYIQihRBwLooWlKfltSqVyYMxEKISNM5fCWeM/ce/CJtVujmVOjDInqA2v7XlQGd2vtZpJTooSQ4JxBCtaBdRFvbgpyWqwl170KEcKM96cJ4uqWxGajJbTAJZWLfMmK1NT/GtQUhipxsD7aekGitpoTdnWExeTx3LbCvv06VN/8XhD2+Hk8xbgM3DUGcYJl9YT6tRVthYURoIIIULIngcouOo2HrqwnXkGVyhEpj3gJME0aCnlRw4ZVlULfBKoK65sfm8DeW4z1vJY9vludJ6kU5qbjmAgLeQKuvaojpKcABJAQvVIOp0uChqtYvtFmyOwYanf8/itomgRhqUyxTaVc0rEN5TTj1IVyJlopmolAGmdONU20OmFVCudUpdI+rPB7YEQgBjz05yux/QGHQ3AGxghKcvxmwe/xkpUv1ApDmA9tW6c6Fevk5JATEkmuZpQw30s714q3n9dbKyuiGWOTj9+IFR96BrY/en/E41P4jy8c40iTT6DSZoq0lSJppob8SIhY6O8sJESs1SgAkF5iOeMMZP6lME7gEYcIBXjCwQ2BKpZFADLyJFisyyDYXKiDjwN//HbIFcv078lT2pwaVeytq5DD2tX/Mlj/v2XboBknOfI00U57Yi1MHt09f/olnnHIMR3RDz3kn1aSBGfggkFy5chUEWvr00ZedyymLro4h3UimeslGnLmfKwdnJ2u+QnogGM7cpVspXmVxoCtPp8MkxOleijpG0nUQFbmDPu5hf061V5pX2W96NaIoNK5zniox3uYFkaqY11XAlX2j6k2BtaeyMvRYR2UeLJrn2UNFLGchF9UpDhkDgi/5EG/VkOCJsKu+wyC9V6bj1ViXlpcU3UnUpZA9atGAagmUDOoHm0M560fZp9FOx6alLbAolYm2qZ8QZzKTJnwCFSaCKSxdqbWyeoQjyVQlkx57wSW9bbacs8liNsCnEvwgEFKhSMePhxBmH8+OCM0Y5GrNRSnEhFnENwqaMxVT5eMXE/VTiahnSopBSWFq0i+8hO7Qk6Nu3CdDtm1IQoEKp5MIGKBtJV6c02cDr/hEly25wsdeZJSYcknXoyrP3OxDjvasgwhg4gleMQgEwkRCoQyyMKBQmLxHjti1V0P6d58tkdfK9b5U0EMds1PkAYh2OhcKCkgFmwPvvYxfY8NmbTYKtjOAyqH9cEXnYZfv+BDHVinUjkSNQjWW+//ErSbGTHxsSanREmtQBkypUpenxbn8R9fiDFD3q3ymAgJEVRjrQ4+DpR6/sJibUmTUx0TyGTInnRde+dtOH8Q14veed2sSoUqJioXnaqTXfuQRKr26zhnblvnAS3zz6nGhkx4H9Qplu2vJFhrbce2HIGyx1b14PIJnKh40AvHK5P43otAlZEfS6AGwXq8nf+RDYq1UnAVgsvaNayS5lvQXjsDZ+liG3vnrRemK5cjU59kVmTRTyT2QztajcicapoIJE6tkEjaAkkrQdJqI2k1kbYmkbYmvGkSaWsSSauJpNVGGgskbYG4nTnrpJ0iaWcOvNnO8rB0krOZmzaf8bNbIaXCgWtuNKRB5YY8Kf3uIj9ci3WyMklNPahE14OKdW0oq0CJWCCZTJA2UzPXRCqejHHpLs/HVDvVCdqJRFMo/P4/foOmUJhMJKbaKdqxQDyVmGMSxBNm2cwTc51Hb7jD1aOShfpUzWVPQE6u1YrUNrsCaYJg+d0dv52MSJVjfdlRH4FUGda2XMWaqSQXwvOx/vvF/+OwVhIdWIu4WYl10kqQtAXuvPxC/cy480uHdSKyEHIUMMSpLqkRC+mGJkqEdMPYKO+NZ7G+YIfnwfXCtNu88Q6tAtlcMeR77mny7lpvSFR98vGegwtbKzpVAK4q+bLxZOjekeXlE/o7DoCrat6Wej5I3cUqq1Shig/ZdB68CiK1luod1821xwvvDaqKDIO1b3OM7NwveSqzuNDzx3ZZLlqO0A1wrbRWHgLUJ5qBl4QtfNdt2mizavb9cM7ivTSPMOEwG+55eOUU4lS4woqxKcBZdKq3XXoB0ljinj/9UjvCOIaImxBxE0lrAmnczE3+Ou1wJ5HGsSNTaSx04rKQzrkK40R9Z2/blQiF9x67K4RSuGpsPwilsFNYMZyHktlv3jpVKfQAwmlsCmdKVw/KhvESL4SXTGqy4xOepKWJ00SqidOEWfanpvCXFaba+ri0lToiZonaB474FNJWgrSVOCVMxIkjVPWFczPyd/dfoKRwdaLc9yz7+godWGeEOd/bMvEUJ4t1mgg845BjHC6tyabDugzfItZ6P61U+cQpTQT+9mv7/AiH9RNr2znME5ENVyRlNjZj0de9+r5r3bLtQOBjDSkg4wRBffCORPac1dNM/I19aqwvN09E84noAiK6nYj+QUQHEdECIvo9Ed1l5puYfYmIziaiu4noFiLat9f5AUDM2dwtlz26QUnIzTdLYGyCujU7fl3WEyGbqszfVBwDrpca5ZstyDaw9XKwZQSqi+meFar7g1lCwuaqwXpdDJN8LgGMiGZ+XUU7Xb5axHqSp36wbgSs4xx+aHcQrP32DWTT7J3Xaxr4nERfML/zW4joQiLqHEhS73c/ES0lopuJ6Kahv8RTYLP1/nIKBYBzHrrE9cyzA83GQmLeSIQ4lTj+gG2dE7OERqSq4FQFttrvaIi45RzntV95DUS7hbQ56eZ2WbRbEHGr4GBbSOPUOdefv2+JduLCJjLnSZQleP4AyEIpSAmsCubpPJvKG2CeL5cno5PLpSFQMklcNfLGZvMhYmGSyVOzLByBascCTaHc1JK9p6aQbv+2CQkmntJ12oUfd7lWMsnUMOXal7rcHiUF1Fa7ZAMeF9ImfKwVkMN6t08dD6GyYXva3v21WKdJRqBufsuIIdBppjrFTSStyU58zWTX+1hvufcROazTROBZz39xV6xtnShh8/akNIQQ1VgXcNaDOOtwnjDK3lAmRPX0NAznfQXApUqpZwPYC8A/AHwEwOVKqZ0BXG4+A8DR0KMj7wzg7QC+3s8FkjIxxEM0tmMpeduLTissIVpr26KLU652snbVpGlYvw6SXK6U6vsY/o8rys/VK5kcwFQwWnFsOXHqSaiKPfe8669VUfW+xfYOYFO8UUqIqrBeE5dfpxue/WBddq1uZluxrmqtDVVQtbf9HsDuSqk9AdwJ4KNd9v0npdTeG0Atl1l7f1kyfxtbDDuorzQhEr+n1Nl/utcpE0opR2xYwDShEhIvP2pn51BlGkO0W3jOCf8FYT+buV0WcROi3cwcrXesda4v+ewfdU+wNKtJFIu8s2+b+lRSAftsMcf9Rp6YLHGOXi4UoMM7J+3/nkyhkMKF8vzhXdbc94RJIBcuByppplj5s1+jZRSmppAlBEnmJqtAFfeNpSZSMpEeUdMESpjrvm2Hd+XJnZCm3VqNoof+ruddFCh3Gzys//L/vpVT9XzFUSmTKG+nVGKX/1wLkQqNXxprUtRuQSZxDmt/crh3wdriW4W1/zxaFQrQhLD0FVaIfChT2sCG83SpAz3e4eCmeoTznkZKFBHNA3Ao9MjIUErFSqnVAI4B8D2z2/cAHGuWjwHwfaXtOgDziWjL6TSyHxVAKbiid/aYQYZ/6eZcl43nu3CWndXuK4YAX+xyeI/GVRAbJTGSjOd27SBIXYhNT3WqcPxcis1xsxev7hfr4jEzhXXH+j6u38uYX919Js37Z1g5DWhKqd8ppaz3vA7A1jPa5qfYnqr3l/5nD9e7TUjkwjt2kkad0B3bJFqTsVESUlzw87/isVuugIitypQ50GI4zzlf38kmidtXprFTQG7/3c9czoyvUPhO1Rb6vPGRte579DSTL3P2NV/McmWEcOPeKZENMGxVKJFkREcmEo2jXoRYKsQFQtQUet19k4lTm+x+drLrEgV3XJpY0mQVqGz5v/5xlm5LkrqBjrPfiuzr96JUOdbFWlxCKt3zzobxfEUqTh2Bslj7JLmIdTGU1w1rn7CVqVG2bYmUJrery3flegzBpe8+qQC7h7UZsmcY08MFVUzq6aVE7QDgSQDfIaK/EtE3iWgUwOZKKTu+yWMAbDxuKwB+KeWHzboZtVyIzVuuczaQQ82fs/y4xaYSd2kvwi7X6quXWo/4+yBWSoj6CLF1HFfVlqp/HNOtlF5hWW/IbF0ZgerHihXnex03CNaTZTKqf1w0ohdsL0cx5DAJBZuNcF7BTgBwScU2BeB3RPRnInr7dC80i/aUv798Um8HErbhE2HUCefojGqgHWGMhc/cDzKJM+XBTDLJT6Ld1HO73U7GueopgUwldjzsGFcqwfUGk6qDSNk2S7O88/yg/47mNsxjCZTM5hmZ8SYT2vIJVEaOpJsviHiONGXqVJ5QJQpu2b+GJVBpy6hjcRbOU4YIRLs+16ksypY56DPH1GKt76fIQnlC4hlbztGhTaVrP8nU9LT0MUs8ZbECa5nEqM/btC+si2qUKsHZjcVo1LSX/du5uuch4FRUIOtUtOc5Z2cJ5lJg2W9+n6lQ5j4OZTOcWF4Voi/sszcR/S8R/d2E61/nbfsuEd1nUhRuJqK9+7luPyQqALAvgK8rpfYBMIlM+gYAKB3PmHX97akQ+KRSuW7wg/CxeoE1dWP5lfyq28NTFWpDBYECsEyVh/s62jMd+XQWEphn+oGqCvHlrtnjgk9Olf87Gh2wB4GypHO6JGfI3nlEdBkR3VoyHePt83HoMaPPq7j6EqXUvtDhr3cT0aHT+zKzZrP6/pLIwnc2vGMJU1pwYO1mYohMplIISzik6HCM1qGKdj6kk5ssqfLWbbr9dtlnqbvPW4XCEjgb5tGTXj5+53pOgbpztf5d+441Z15iucsrsuTJU6SkGb5FSa0+SaGgRJ4ACZ8Eectn7HpYjizZXCShOpUpdz5TLsCG9Wy9KVsFPUfyhET7lms7v1sfWAPZ2JqOKFtCKhXufHB1B9YiFaUkKEeeSnCeeOy+HNa+ItULa5v8/t3Tv+qwFl5i/C+/9q6BnvnFRz/fwJ9hPbApuBIJpVNVr/DuVhWi920KwJuVUrsBOArAWYW8zw+aFIW9lVLV49J41o+E8DCAh5VS15vPF5jGPU5EWyqlHjVy9xNm+yMAtvGO39qs67DPnvYZt3zwkkOx5JBDejZmTgCMe/d3EGWiuCVg5H4EjCj377GoXJSdS0gg8Pxnqxtr8uyh8QTbzuleF2mmQmaLaTLvTPtN/lYSIAZ2zw2QO+7f/3E9LGTl+W99NWkaWFeh6df8shZxcj33Fiy/DSsX7QoCsOlIf+PxFa147SuvvApXXnVVSSsHNNFZKfiK6/+CP93w166HKaVe0G07Eb0VwEsBHKEqEr6UUo+Y+RNEdCGA/QFc2Ve7n1qbtffXGZ87DYlQGAsZttnrQOy8z4E5EiI8RyukQhBy/Hb/J/C8S+d4RTQzZUJJmTlOo4zINDbkxKgknu1w8FF44Po/gAURFu24F5bf8zcAwGN33AFeqxtilkCZ2lF+8U4pFW66+m4cceQurp3/dXsT8+qBIypVNnbkKZj61ftLt0mTIyOFdDlRIrZVyM16W3TSC4lZ8pQnUwonLf0jYq8tnPKTvz5RQKRInzMW4CHHT29+HG88eGtIERjyViB5Noznh/W62DPqbdyaaLepCRUcSfGx9sc8LGItDdm02Io07ok1Me4mAEAYgdIYxLjb32L93tfuiXMv/LtOev/Q8bjzKz+AkAqv/8C7XTv9d6cwxL9y6Dv7h8wjzH9aeif+9Jd/6J6X7SEqlkN1D58Op24dA+Bws/w9AFcA+HDuqkrd6S0vI6InAGwKYPUwFwT6IFFKqceI6CEiepZS6g4ARwC4zUxvAXC6mf/SHPIrACcS0U8AHABgjSeb5+x9H/4YGkHW+60qQXcikRgz//bH0/4TfxfJtVjO5la6KlsniAA8OpFg87Jy90BlQc1gSF6xTTcCxYK8stPHw9RXknhxXQkpIqWgimGvHffvfnFDtoJ7rkO644Edm7lKISi7r1UEaiKWridl7vp9Ym2LfFbtrtBf1XmbW2dt5aJdK/cNPRI+iB166CE49NBDHBanfe7zA58DQKmMfthz98Zhz81U6FPP+c5A5ySiowB8CMBhSqnSZC4TDmNKqXGzfCSAUwe60FNks/n+unrs+fjxOw9AM1EYj1OsaWXKjR82Of/Mr+EFb/8XKKlw2B/nQ6rUDDhrHazIhZOkFJBJjDdc8WP84HnHVjrW+665FDKNEdTH8OB1v0Zj4WJvXwkpBZgUyBfszJz6ngc+w7UzLXmOdfs7fzUTv/0U0NblD+T4anc9SInR5yxB+/JLO55NKfwx8TI1yapQeTKVV5xybVIZgYoYHPESihwB4wREUisyr9ljU1N4U+VCjQB0TpSxk1/0GZx9zRc778El/wm85D3u872tGgDh2mjv0+kfOQNv/8R7cyTKTV2wtsut1Y8jHJnrFElA5x450uSZ/zzYey/SGCyIoKTCmT+6GWEtgJLALZ/9FmoyT/Is1kfttADXPjRYjSd7vUN32QEHbrkQ8fgU2qvHcdaV3f+4lZ6rS6XzoYaSqQ7RlxoR7Q8gAnCPt/o0IvoUjJKllGr3umi/ySwnATiPiCIA9wI4HjoUeD4RvQ3AAwBea/a9GMCLAdwNLZ0dX3XSRp8sZKzPcElRmVjOutTpKVgVgRrUVL/e2hglLaiwnq2YqdCYTGdMPSqzYvXy9BmGbBlSZc0nUN2sjEB1syLWRQLlq0nWBoQGUulK5olQroSGb4lUlfHw1W2B+bXhlKv+GzgryZfnAKgB+L3paXqdUuqdRLQYwDeVUi+GfjldaLYHAH6klLp0NhozQzYr769fnHgQmmn3PzlCKrzq5H/Dyom4Y1w0qZQL5ZVNRQJVJFEAjOMUiMY20WoGM8TJc9KWPNnrFtvnlpXCXx9ajUN2XOTWdQtxk1JY+vn/wu4ffJtbN3HDlY6c2B5wOuyjiYwN5fkkKVvOSgdMCoWQqlIi9C85O8YrOWB+4ULp72pDeUGDu5AigKwaupmfdbHXCdX78xkc9XYU3XlZ0v0HP/tBrJzI/K1ToZTqirU0c0ug7PScV78eN51/HpSUrmJ51jzRgTWCMIe1UhmJu/UP1+PAlyxxWDdjATGi8Js7V2BePXRt9W3+kpOw9g+fz92LsufPJ6IDW4Fo/+mmW/Cnm24BACx7cgUAzCkeQkSXAdii5Gwfz7VLKUVElU+vUZ9/AOAtKhso8aPQ5CsC8F/QKlbPP4d9eTgTGyzrxnxEyb4KwLv7OW/3a073DOY8fe5TdJFlYR69vnPgWt8GHQImR6DsOZIWktpchMLUaWKsuodeZUP6GLdtFknWurYigbI2CNbWxiIORkCrxGHyCjWqK4GaqXs/CyRKKbVTxfpl0OQCSql7oUsFbBA22+8vv7qOLV6YIyeF58MSGTvXIZnMweb3zSsOZeaHdLqRLp/AKdkZggKAPbeaN8hXx56nvh9y3ERCzPWu+OLlOPyuG9H++PFQQmFk4SjaazpVB6fkeGTKrvcJlP9SVNoCAAAgAElEQVStWeF4X4nK1uevI4VEPJGgNrfmPgNwXfPLyIE/5Es389UoO7fLlsgUrYxM2XbY5ZvOPy+3PwDINAGP6l2x9p8R+0fz6v9+BxoBw8cuvh1CKkSeeLHf4jm4a0W+Th8ArL76q0BFr+LWww8imp8JFEMRKYWO99dh++6Gw/bdDQBw02134VsXXjrecViXVAQiqgrRF/ebC+A3AD5ueuDac1sVq01E3wHwgX6+ynrnRX04Rqh/SW9BumrmGzNLxtoTXbersJ4RKGDY+PDsWKEtgmW1o4IV98/YZe5Z2VNFLbUnJlPMiQoDrk5zcMO2kKUECuh0kH3ZDJFXlSQ9p4227uwDD36/cpt0RErnxBx7QRZK8lUku0+3HlBlJCC/XWY97/r8d1qmTli74ZVv7Hrs4R84Au3PZzx08okJL4RmEp/N6YuEp4MAFduFjHQVrXisVb54xBE2gtw9tMv112e5x+85uC+f2Xndknt13Xl57JUJ5VWZ3SbTBLdcfGZu28Jnav7Pgh7ji9pzFMjbO877K955/i2lx9y0rIOnlJqfMlLfetu+juluqmtiOYZLLP8VdGgeyIfonRk1+kLoMiYXFLZtaeYEXfLk1n4uut6RKN+mykZVrLCVQUdvxmnbJry/ruhVqkeVydrYMM3ptGk646Q+2L/OMuMyu0fpwu2HOkfZe33HBbXqa3b52puNBhiP8y+rYWp3zZQN+GgMZrNQJ2qjzZx9fus39b3vL149nAPv5pivmHdZX+f4+QXX9d7Js/1//sO+9uvV9X2HHUqL4fdtn1r994519rfuR99tZfQya/34dLd89lVnTKs9vh3whmrst9ntmaXrdQ4Uwx5HnZxbv+LOdTcgwNr6puUbZuDdUqWoVYWu+7DTAbyQiO4C8ALzGUS0HxF90+zzWui6cW8tKWVwHhEtBbAUwCIAn0Eftt6QKPvw+w1aNqH/SZdVIn8qbJXQKkurh1xZli/j2w2PdFeeupmrMVRiappkLGyt6Txnl+sB0KFFz9ron+hWGRHwj+WdkjJQjv10wvC+VeG2YOKh0vXWuglbxVP2VStsSOv1EhryRbTRhrCbHulM0D3zE1pdeueSHTq2sT7eaTapWPfKKn9VlyUeWzt8jY58PHLTJV3D1a98dWeHEL99Ox7xno7t/Rgxhmed8SW3DABkfhCcgCW//M7Avxd7FzgRTp2/W8f248//IIDszwvzTujfQ7t846Hv9U4+nDvkjBzW7vzmfr/uBVl03GL10N/vRNH83ndVWBftwFcc3XEOAHj+OSeDujxfm82p/oO65VT+3Te39WT5jl2eu/5MAWlSPQ2hRCmlViiljlBK7ayUeoFSaqVZf5NS6l/M8g+VUqFXxsCVMlBKPV8ptYdSanel1BuVUn057vWGRPkhlwYJEAGLzTh4yTAhE2PFR6nMAZc9bv5Lp95N+ujD9t9qeLLTrdo1tYYcPbuL0YDVtWsdaZfD2S6LGqXrp4N9mflYWwWx6GBWjm2DbtZN2OqlPFEy2HiEXdvRrc6KlcU32qwbgbDfVlmOyBvu+QE4I3zws9qh//e19+f3Nw6OGIEYB/McJzEO4jxHoLLjmJvrKb9P3hFn59h6/5e4czAic11y40TyHoTunsvP7u9G+G0178w7P/oBR5yy3fS2H+31SrfOf/9zIjNpB2XfvhmBKu6XEbPvvy4jM/a6rOL9zRjDc6/8Sum2Yi/lKrPXtlgX7+X5f9Adv3xSY7Erw9jfJ9uXlWJ7/S9/13EsMYYrTtLfyb7Xilg/MV6dKvHoSPm7z96Pv576jc62DuMflQlbV03rUwpLD1tvSJRvTTV7vZqmyYe6JpUPYm3jbWM1RINKwngdRTV7hfpmK6l8GucdTfuLzwN54mN5y0yLPrMhgJZ1JBjaNobz1jtjjPDTnd7sPvvOizFyCkVGpModZPXkka3ixDUhs2bXM0YgptWRokLht4+Tdrb+LlVc4n+TzaGIcMuiThXLHeu9bIkTiBOYmVuSZOefeuYhHYQo20c7qqw+FHnL+fX+fsQoR+AYJxBjOVLFuCGj3PM5Pd5hVTmW+7z9OL29BGtNXsuxbq9dPi2si6SZmN9pwSOnFVh3VUXJV+849vnUO/Kbp+NQ07jLtOH8AZyd8Tpm2RiV1w/yC2b6Zh+R4pZ+feQ085JLrWZ+3BH1YNzFnnklpoiwGJOdG/SvqXNdl/P0a668wQySsclgTofMU4W1b1SyvD5hPWu2Af1bezqa73uKjpUX/v1zlilAjLSD5ZwgjRpFjIOFulwBYxwSmUJhyxgU6wb5zpMFUW6ZhaFRuHh2XdMeNqASVWYHhY8DMbDXyhshbZsYA3EzGQLAisvcXNtckpl7d/rdV6Pp6j8R9BjjWV/aYmFNX4XylStHphiBceauyaO8osdMOyvNvNdUxfvNXpNRhu8t3/wp+FRSijUxe98zEmRVyMbCxZBJnMM5bU2CR3WvOeWkmgURiHNwgz8PGIgRgpA7zPvFup93nyN3LLt//YYfi9a1s8Q6zGMd1NZLJWoQIwLm16q/hq9YkDdZEhOWBOF7VStfsOL2YZo6kFX9eAc2YvlpkOPKlvvZf5ZsEILjY72pqC5G2wvrmbDZeh2oJO45bbSnznzH6tYVnBbzCI11tPd+YicX0stIkJ622P3gUuf5qhNP0MrAy1/uHCkrkCnySFR2PWD3j5wAZhyrnQLj8JlPSKocbsm7xHekrECgmCExWonSBIYxQuRNljwVl3tN3CNe9v5HhkA5whZy1wYWBYbo8YzsMe5N5nsMOGIEL9xP/577WPvhW4s1N3j7mIUjc93yW264uFSFyohUWIm1/eyTeot19tz2INKleHODI6sMl3Y31V2JKhmNYX21DYpEVcG8up098P0ONGvzYRIviWVNu/qHs7KZhUZWLnx2ri2NoLxlQyUVV5GRQm0hVc8XEh1ERSo9/QyRCdbsTFb37bYnyxPIi9ZPa/olQGuj6fXcXG/FqY3hvHVuDHnS5JQJyhxXFDBEAXMqQWMsypwbZ9j5jIc1cbLkKYgQRA3wIMKTd/3FbeNRwy3/8pvngwURbrn092ChdsQTj99vFK1QO+YgAg84OCfcefmF4JyBc4bbvvBd176AEU47aL5pa/677Tg/8r5Xya+AWEY8rLJiFB5LoIgz8Ihj5V2rwI06Qpxw9PU/zeU99UOUiuSq+Dl0ZApgIXOhw9zE8kpZUY365D5v6/yeHtZ7HX2yJpuMclgHBRLlFKCAclizIOzA2idSbps3TXz/gmy/WsNhaxXHItYu540zrXh6WGdthCPM/T/sGdYA0F414QjpwKZsvazqaUOxDYpE+ea/uIrPwbDqwrwa6zjWflzQ4KU5MowIzVRhbdzpsLolGbtN/YbFiv8ESmpNlREh0ehdxkAR9ac89SHbyh7X23XT8gTyMitD0f+KvYpkWqsqQVGFtd7We39rtX7ZchHraap3vV5CG9KLaEM361jdMhHiVOadlwntJO1UO1TOQAzgAcscaRA6VSLnXENNaHwHzGsNBJ5Tnb/d7s4RZyqFJm67HvXqzLkGLEfw/uPGcXzq3z/nnCozSsU9qwdUMq3CwpkOJ0YBWBiAOGGzPTZ1YTUeMVz+/Dch5D4BKidQn3zsWjQ4c5O/zf+89byaWw5Cbq7jTWFG8Oyk26aJgVV4PvO373ZV7pdeelYn7h5h9rFeOL9hwrblWKfNiXIiFWaEitcauOh7v3Dr8gTKJ1uhw9qS5SLWemJZaM9gfVD0JAgmiZ96+E9PtWtsNj9HSAe2rn8AN5x313pLovwCZsOQokGPsT8G3/yPE3F3UOcNOcTH3f28qFgFwSn5kReJFO+hDLn9q+Trp7iqeVnCeJXSbPctww6olqi7YS2k6jkcUfFS7QJJW9PurgClM/Wz65qYaaaN9pQYd4qJdqDX37sC80dC57R8NUo7UnLLnDPwgOeIFK81nPoUmClsjCHwiJPvUHnUAK/VwaO63hY1EEQBONfXue3SC8C9a7r2GOd6+tkfz3J8zPPtO9ZSI4aRN5+XC4UR75x4GLhwGo8YeKjnQT1APWBo8DyR8snR2dssKRAnMoQq27fOCKsmYn0OTmAhA4+YnptQniVNPAwyNYozQ/yMwlLSS67jK1Mn1pzBYMzdfY0ChjWTcQ7rIOI5rEcWLnakuYg1DyIs3uNAh7NdX4a1fm4YOCc8fvtS/Oc7DizF2seceVhfn2yW+45bHHpi7rP7k2380BP7vMZgzbP7OLCp7mkIG1Bi+XpDompJpqykUum4svfjtWqC/3vupkYBwNwa70mmqhxw57m8Xgrdzufa0x+J28mTzIvWV15UBZGyU/l5u2zv45qD5mut7kEqgHL8BsFa75PHslhJuAprfxVnhLZXB6MX1mUqVC9CHXTUYR7ONipR696I9PTIksOcGvWlX/wdS3ZelCNPF593sXa+gVYlrFoQhBwsIMxdNIIgyhwpj+q4+Ttvz4V1eNQon2raqVoSxqOGCe1oJxqEHHsdc1x2XdLtqvmKFGeup5ZVpEp/Z0wrNPbdMfXDN7kkaWIcFEaOrNiJRYEjUCzkCBpBTiXKyBGh3kGWmNvmEyhLnmwIr8EZ6oEmZmEjAA91lXIecTCzrJUnBh6FhtixjDy55Hje8X5bcPC7Hdb5W0FOuSnmRFnC7GOtw3kEFmRhPYs1r9U1jh6uK+6/sxRrFoYe4Y5yWG+7z7446bs3dWBdbJ9VoY6oP9aB9WNXnpPD2j3rRq3bfOkvDPHkDuuhzAxaXTptTCwf3NphVksp8jym9VG9CloCnQ+5VY+s8yybqs7TLbQzkWTn7Wb6B9az2eVtKKoInhrV0U2+R4+74lR9UVb9uUyy7ZNM+ePIFe9Hvw/gXJnVrxpvi9IXvO1gMCjWufb0UL2K1hbKEebKY7vV3mLT6CC7MSdqnZoP99ZX/wmAfl99+FW7IzTO6sDtNkEUMLz6+JehEXFEPFOjgoiBGZLTmoz1skekDnjP/yBojLpJkyV/qjtFwikYRoEKQo4g0ufWZM0SNoY/fvNbzrFGAUctYBkRcCE9YEGd655l/pf2iTkx50wzMqKJw20/uU4nQJuQng2phY0Ae7/zhY7sBPUAoVOkmCNH/uSH8+pGsaoXiFbIKSNQkSZqmrBpokaMgUeBF2L06i+FoVOjXH6P975bec257h7UOQMBCBnTuVeMEBoSWjOE2c4bIXcK1Kd/+GGH9f1X/wpBxHNYB1EDyz63X4ZpF6zD+pjDOqzXSrHWChjTz5xrk8Y6ZPp+cSL8sb2l+6pVf/xvPem92bu+kIQ/utcBQylRSgEqjaunjYnlw1kZiK7yrNk2b/yhSoVCn2N63dSrjr36QV3YkgCMhYX8pIpjfCGkvvzuARrBoIKokqRQGncnPINaWfy/gkDdMzk8mQKye9JNqSv2qASAtWzEYT3HkLIi1qtLOgYsfaKk9AOAgPUeR8yeeoxPT9HpVnV+0F5A+RPPPIkiolOI6BFvSIQXV+x3FBHdQUR3E9FHyvb5v2IMJsxDmYrDGSFkDLc8uhacZaGUbd/1BkQh14TGkptIf7ZEJ4gCrU54DjaIGgjro2Z9HWF9NLdNO9QGwnpozmnOZRzsny/4EXjAUA85jn3PO0tCPPbPhyYGnCinIH9s7q7myxby+Sz5CCJNRgKtRO1x/KGYv9szM1WqHjli848fXYmgHuSIVFAPUIs4GpwwFjA3NThh1JvsdkugmkKi3ggQjUa5czklys7rul07/QZahQoDsCgEgjD7DlaN6pKzGAvp3jk+1paEFkN6kSE2n/7XLzmsn33kqzqwTuMmdjjtnhzWYX0UK+/+SynWRxy5C1bc/RdNmgpYW/WxHuq2fF1eVAjfZlgXe5SWvZV3P+erWp3z7pPFun3HX8Gi4f4IPl1U9PWKRPncJAuL5fdZM6ezomqZAjAomZpMZKkqYc+9ZNu5BfKmPz38r6/uet6mGbi2tWinrvsB6PzRKpmXlotqUBnxGaSUQdW+XY5/hhEMqaws/zTzp6rw6kaa7XFVx+6x2WjHOiJNzju6n/shQ2/9lPRqzEyDoOcbwUByqEE2nc3iAMRf9oZEuLij6UQcwLkAjgawK4DXE9Guw3+TDdcYZX8IntNY7RzSwpFIJ04X1IA13/0fRIFPnLhzrlEtMA6RIaoFCOs1hPUGgvoogvqYIUpjCM1yUB9DUB9FWG/gkZsuyZ0rrOXVqOe96S2IwszBW7XkiaOOcoQvZISQG4WFCATCm755AwDgc+O3ZV/aq6Hkqqt7SpQN6U09+DB4lCWYB3WP6HiEJxoNETYChKMhopEQ9UaWKzXmKVQNronVaMgwUgtQbwTYYn7dnI/nzhuNhe4zr0dOhXrgNQ2wKMBDf/wbYEsDOCLFs/wfP4xVwJoRnJLDCE7Z8clTzVuuwjqsZ5/HFm3ZgTWPGli875EG5wzrIApw7f8+hK33Ocicg+ewDowCZq//oZFXoBEFrk0+1rbEDxV6mRaxBtCB9eNX/9lhPbgpyDitnpINR0VfL4ptMtIKReKRzzIe6hfTJOTr79gHoFiYsV+nNxblCUCHwlVx3Nb/nQ0EXUYhbJJy12ZUFcU06xQxkJKgpZdD7XFEh6ReqmYMS2iKx/lhRL/EQlCdy9XNLNa5dejEu6pwqj0HMDzWRRNS5eqF9XMaeyfWtCXm1wfoVODjOp1QHrAuw3X7A7hbKXUvABDRTwAcA+C2rkc9jY0RcEu8CRgTCDnDRDvNhXkaUQAhFVKpXK6e9DvPMEJKpjs8l5BCgkmCkgpKatVUyfzzklXCBnb6p2N1CQUil8BswzrawXI0zDTilgNsdsVljgQwkzDNnLoC/Ojt+5eHsv3cKJMLRUEIFtUh4hZ4GEBGmsDooTwkvvjV63DyCXvnv4NXfkAmEjxiELEEDzmkyU1U3n2yFbgZ18njxMkkqmc5V3miZnK06hGCes19fsZLD9DqmSFQtv25MjLe99b3wPoefd9DrolIO5U9sfZxZkw4rIkIXEhIqSBT81wUsHbfmbLaT7ZDAgsYHvzrzdjpwOd4ZIqjEeaxjnwC5WF9xKs+hJt+82X3Tu0HaxjiucXzD4ZqTQ6dE9VVbZqOQv8U23pBosrMd6xEWZ5ZNyKlt/eucN31uj0SnG0b3LZSZSRbGU08jnhs86HasiLhWBhmjlLtcYRpAOskUsD0Hrwy0lVBoHr2EByyCQ1OaApViXXx3FVkql+zx4/WuFMMB8W6jEDNlFjVy2ZxgOETiejNAG4C8H6l1KrC9q0A+COVPgzggNlqzPpqWq1RWqGA+WfPJDhBL0uFkMucQjEScedYhVSImXZoaSK0yiF0F3UhJJRUkFJBKeWIhJQqN0yHdcSMmYRlIp1r5SWVR2FGoBoegXLKBPeUKKaTkQn6eT990R44ZdXfO7+8r3r7ydmcg6I6mJTY4qyHsOytm0DVa5BC4iMfPBTJZDZ2JOOE1BTgFKGASASUUJB1CZlIR6IAQAmVGwuPmCaYQT1w5Mnv/WcJVG2+ls6DeqRDelEAHgUZabJz+x3IEobO9xohe2e4EJ7BmguJf9tyJb7y8PxSrK2lsTCYiU6sw8Gw1snkhH/86CS88hs3OAVqrBY4nCMvF6oM6ysv/KLD2r7f7FyRzv8qYk1hBBW3QGEIlYY6LDqoKUDG1Ur8hqRErVfhPKB7roy1sirk+e35yVpV1/NbHp+sTALv16lW3UifQBW7wpcaMadQLIyy/e2PWl5xnrkgy5EcKJkV5Oy3V19V+K9w7hmrnl5sQgHrZsn9CQugEDqH2CjDrro2VOf+RQI1R7XMvp1YR4yG+tGUtmaa91Umacf0p1vuxmfOv8xNpZcluoyIbi2ZjgHwdQA7AtgbwKMAvjStRv4fMDLPk302MydFqHGGemAVgSCnDozVAzRCjlotQGimqBYgrHHUGv7nAFEjxJ2XX4haI8z2Ncu3/+5nZl+OqHBcw3Oo2bUDF2asB6ZXm1FVtFJivhOAjy2/1T37H/+dyev0c4aIOUVHTxH44W8EBSFWvn87owBpFYjXI3zpazcgGK0jHK0hGosQjkYIR0OkrRQP3L5Ch/RGI9TmRqjNrSEajcznmpuHoyGisRD1+XXzOUI0FiIyx+rz1hGO1kGcIRytg9drLjeL12ugqO7abMscEOeZ4uLAzX6jzPRis1j7hKTGGX6wYtMOrI/da3F2/w3Wz33mohzWesowC2tBKda1eoioFiBqaKztca/55k16n5BjrBbgk7/6REFx5A7r1+22WQ7rkJPDmqGkR2YJ1joHLjS4R6BouPFApRDV0xA5UUS0gIh+T0R3mXlplWUiEl7O56+89TsQ0fUmz/OnRNRXuIXW1Rg1RKTGJ7NeSz5h99vk38piU8vCPb2+jZD9DUJcRuW61ZEajdeiGc01630ZuPN8Vbk3TkkqKkreZypTm8wDp8I6KGl1bu/XSnrgdRCoPhQpHwOLa9k6YHax7tcGxZrl1k8TawCN0TEopQYSsIhIrfn2J3vuN++ETw98bu8a2wP4tVJq98L6gwCcopR6kfn8UQBQSn1umOtsiEZEasXaScRCIRYKLSERC4V2KjGVCDNly+1UYqKdYioWaMYpmrEwy3qKU4lYSIhUT1aRkFLP7e9k+SPjWLTVHL8dsBWx7XAqLGAIeaZ+FUN49vNopHOPRkKOZYf8E/b489UYCTlGQo5aoIlBxAkRJ9Q5oS6aUDwAi5tA2gIlLVDaBkuakM1JqNZkfh63IKemkLZipJMtPW+1IZMUohVDxHqupISIBZ71gRNx66fPMp/NO63kz5A/kLE/rIwuZ5DlX7EoMAqUDuMFo3W9vjGqSVRjFKw+CmqMguojoPoIVFCHChtQYTYXFGAikVAK08Y6TqWeG6yVVHnV0cO6Q4kaAOsoYBirh6VYN0LmcC7D2uJNIs5hzZImKG2XYj167Ml9v2eIaNGC0fqTd3z2XZX73PzgY3jhl370Z6XUfv2c05z3DAArlVKnm84umyilPlyy34RSaqxk/fkAfq6U+gkR/SeAvymlvt7ruutUieo396RtYsWdid+dZyBvKrNuBKrq2F6FOBnQlUAVTVc478K0uxAXVZCaFY+cckRiiOKKVnUqK2FQLLMwpHKysiUq8fDfkXlykt+vrAhnN5x7Wb9YR5wGIlBPpc1GnSgi2tL7+AoAt5bsdiOAnc0/twjAcQB+VbLf09r88AeDVTitOmEUioDhlK/83uTK5FWKOfUAc+oB5o2EmDcSYqwWYKwRotEIUWuEWn2wy3U9Ld5xgVuO6t72RoioHmCkEWK0FmCsrqd5IyHmmOWcEhZyhFy3L+CEZ994lUs0dnWECqqt7WX68WuWY98zlmahL5uc7alRLKrreb3uCIxWhxoIRxvu8/avPwbBiFam7jnnG0ZR0oqTnqKSyahPoxHq82qoza0jmtsw59FTMFrHb//zOgSjDfc5qEegWl23s1bvaDNYYKa8Or/Jwe927wHbC5OTVnMuXPpoDut6wDqwHquHDuuxeoC1a1uY1wgx1ghRqwUZfnbZw3YQrMfMNbTKqQnUSQdug0bIXbusCmWxDhjlksoZ5d9xfqK9YkEl1gObCefNcGL5MQC+Z5a/B+DYfg8k/TJ/PgCb5Nz38etNTpSfy0REOYWi5o1N5+dH6eMIiVSl49QN49fuXtnGTgtqALSD7wgnFZ37ENdoBIRGr9YVE8YLn4Pl9yLZdKdO4jRsCX7PHEnz61H1qUiVqUMLCnlDPtYB01gXMQfyWD82mWCLUR17L6pSM8Vfyohy4if/ztB19MkrOgQMYN1yCqZhZxDR3tBQ3g/gHQBARIsBfFMp9WKlVEpEJwL4LQAO4NtKqZLEmae/ZURK58cEDJCcEEpCTTEIpfDlDx3tCrj6Y+rZYWFuvOFhPHfPLRAFTOdJpRLCJCX7U9Hc8B0sO+dF53wDr/33dyEKGG6+7Qkcsu9ilxcz4sI62qlaElXnerJ5MoyyHJmy39ZnlmyK0w6cC4g4C/OEEShNgJp0yjiZOYN2NLa6tYxTnPrJS/DJU47EE1dchWjuCGScGgVKz5VNKhedvxG/SjYzRTNt7SddkyoECwO84pNHgzcixGunUJs/polTVHcEj6I6KIw0IeCmyGZJesOqa85FbO6/TywJwHH7bIV2KrHdaAP3rpqC9P6lW6ynYoEzP/FFnHjK+xClErtuvwnaBmMf69ikFfSLdVbriyFglMuBslj/aOnjqBkCZbG2oeaQMVOBPQtJVxpjnViHybSGZ+n2J08N927cXCn1qFl+DEBVMnKdiG4CkAI4XSn1CwALAaxWStmX6sPQuZ89bb0gUROx7Ogd5ztVP8l8xVSKhSO62daXFolOr/o/3WynBTXnTDt66PUgUP1WKfdNwXtRFRwrJa18YU1ve7KpLpngq1Klob5+21GlMg1YAsG3fhO+q7DW2/TcEiggT3amg3XxXPk2Ffbr2D5NrGfApJj55Eul1Jsq1i8D8GLv88UAOsof/F8zRsChH74Efzz9KFM2AwjBEAoFwYF64fl89zv+A2d97VOORAmp8KLnbQchpfscp9L17PIJVNG5ljnWt37kJBfaOWL/rV3dIhviCVmmllinWrMJx0aZ4EQuRwYwim0xT8ibFAuAuKUVCimgghAE4Lr3n4uDPnsCJGNgjIGliUkiT3HaV18DGacQSQolJGSSQAoJnmgfpoRHpDxn6w8c7CZT4NON18cYeCMCMWaSy+fovB3Te5BqDUegyBAqxbhWWohKyZRVGoGMYHKmyxtIBqxoJqgHne9F29Px1DM/inaqMY5T0RXrfklUwLzhhBj1jbUl0LyAdYcyX8ybtVjLVGNtFKhhOrgoAGKIxHIiugzAFiWbPp47v1KKiKqcw3ZKqUeI6BkA/kBESwF0Hx+ti60XJMoSqG496+zjaQkUkDm6oh8djxrg1ScAACAASURBVGXl0BvW6fY7tt4IV2jKzn17OdWhwzt+F3hbpLGoSFkrkKbpJoCz9iRkbbTzOmXX7rZummbPWEamfKxbqSx9cU3HSnv4esuNeC1aNT3I8spWigX1YEawHsY2pIJ0T0dj0E7nmjOORip1tXJFgCRdMkMogmQs95b9zrdPRTuV4AyITC6LdahWnfjCx76AE095X1enas06VLscBdytqwUMH150P86d2Ml1bQ8ZoR5wBJzyTtWEIPU4cHDDbnW8J71EY1uAkSQDojpIJFBSgGp1KAAHf/X9UHELjHNNUtIEPAjB2i0oIZG2YnAptQolIkijQCmRhaJVyR8FW1XcHwOPMYZTP3Ah/uPc17kCn7aYZqY6hXqeI1AhEJgwXllnm8L7jaAJh8U65PZJKDwbpvdem3ysNYlqp1px/Pq5F+Gt/3p0T7LsY+1j7uPt16WqwjrkhBv2fh6OuO0GhIxhv5e8D0svPasD644/iD7WKgB4BAqVJk9SgDU6a/H1NKU6VMZr71uG/71/GQDg8fEpAJjTeZh6QdUpiehxItpSKfWoSUt4ovzS6hEzv5eIrgCwD4CfAZhPRIFRo7YG8Eg/X2W9IFFVVhbiKSoVer9sWanuY5eVkadRMYlJnn8Q7G5FAlXmsgdVJaTKk6wOhaIslAfk19meeP7naZqsdzyznW0AQPGUJniFF4yPFIkYYNWdG4qEeRisByVQy5spFjU6H/kq+MrOPhnNhX26FtR7/3z6wnpIm6Vw3kYb0HSvLWUqQAOSdM0gQId0WiKrZJ5IhZAREsmQCKnngYJUSicbS4VTz/xors5QLxJ18IlvwHVf+7FWkfxQDxG+1XomRkLKiisah2uXLYGyapRVJlwvtCoilStvEOjwi5JgtUb2m/WHUGEclMRQaQgVRBi/536MbbUplBC6Z6lHnspCeUrI3PAifkjPDuny2e+8Ra8PbQ+yrNcgPNJ02Rs+jSN/+QVHpnSuj873AddkatW3P4f57zgl/7U9rDnTvkYSQZkQrn1jMCJNlIm6Yv2h97/C4dsP1l/42BfwkdM/5FSoHJkyJIlRd6w3ufwyh/XfLjkLnKqxViwAFbGWGaGyWA8bC5BJ/v114Nab4cCt9WDIf1u2HD/6y+3jA57yVwDeAuB0M/9lcQfTY29KKdUmokUADgZwhlGu/gjg1QB+UnV8ma0XJIqQAdGvc7XWzckWTany/aaC0Z5hlipXV0agZiTJ2BIpnyz5ZIoYBAXgKtVzzJJDLasDVevo2NDxQ1I86vnrKsMaMANQk/nnZWumlDWtx30u4r3pSPXj3mCZ4mi/cY1TriwFEaFIzztCvt2b1GHd+hf0so1K1Lo1W726FgAyUVBEkARwpqAARO5vgK4CrkmURMI0mUoYmSLDmjwlkkEqBWGKawqVd6r+sl9t//bvXoCFLgUhG9bDjt8XMp1QzJ2DpRxx8sdSs787WyvKOtecMQYlyTlYZRQK3bo4I1KMI1l2H4LNtwWlCVQQAmkCkgJzd3k22JLXQvzh++BHvRPy12ebwWeFK87Z9d5bAsWzcdzIKwQJb2gSlwRt8p+OvOhME46qOQJllSgbypv/to+VYm3JslJkQnoZ1sxEj665fyUO2nYT7LH5CK5/eNxhnUgFGSgkQqEWdGJdxLiI9+lnfzxTo4gc1iFj+OfmNTi/vsRhHTLCS4N7cRkyFbIWMBy0zXwXsrWKYxXWdkQFRRprfZ9kDut7Fj0HO628uStWVdYV4+HebacDOJ+I3gbgAQCvBQAi2g/AO5VS/wJgFwDfICL9w9Q5UbZI8IcB/ISIPgPgrwC+1c9F1zmJ8gmUtSrnWlaOwTq8kTUPYmLett2vNaCH66YRVKlPZQSquCqVqmNA5dJ8GfsPoKyaOQBuqAVXM0igeikj01BO+sEayJLN/ZdI8ar9/MQGwbstO+s/WQLVDWtO+R6GAHDfmhg7zKtW4Xyso+FvZ64Y4UZbN0akf8/aoSn9XEoCmM0lYgg5kAhCwhQSaecSItAKRU0x/HaPg/D8m6+BVIBQyjhYW8FaX0t47z+/Vpp952QFIPNj4IWM3EC5dlgXF/LhzDzHhNBzqsyQKSpcAwB+ee8UjtkucjkyBJ0I7H7flILqBKQpop32BNIEKk2AJARJAZUmoEhA3fgrHe674vtgI3MBKSBbk2Ajc/JO1B5jh2dxX9wb747pQYYRRnCDCduaRmGUkSvbE8+E8BTT4SlfhSoW3GTmN24VG04ElGINcMZx1DM3RSIUbl/exEjIIZRyapTDV6quWPt494P1RfXDMFbA+ir+LIwYrDdpBGgL5dqvyRdhKzaJJ2ksh/WiJe/GmmvPRYwANZYCylOjeJDDeqepu4Co1uUXUm3dakENUydKKbUCwBEl628C8C9m+VoAe1Qcfy/0aAwD2TonUVVW5lx9Z1YkVFPztn1K6jV0Hzi3v3ME5h9ocf/KxONuYbtZKoTZ7zWqxKZBqogPijUwwz3lKqwfrH0CZfcuEqhHxhNsNSdf1Xcmksw3hvPWrTnnCu1ASQF1ztCCNM5VgSmCUApklIpQaRIllFYiEqF78L3i9ushlK4NpB2rvoZPnIrDxFizTtY5eFgCZRQpbzw8qzhZ8uScqqdAcYaMiFHhzwUxvHzHMUCkObJBXKsTZD+74owBkKZAGuvkbkOIrOJkCZPLrxnVpWJ6JStn5Mm0juXHdbMKlVOlLAHzyROZUKQhUFaRct367X0v/MYt1pZMMUVgyGPtE2dNohQkZxlp8rAGgM1Ha3h0op3D28e9iLcjU5QN4RIyVsBd4zmvxtFMFQLWifWTNObOVze9Q1decy4AICI9duvcf/owxv/wOUecKACUSPNYD2pKQcbVY3vKdMN5t613JMonF3Ze5pCLDm62ioYSEcZjgTlR9g+omUo3Jp7fztLjB7yeXwOp/ISFB3Y2xhjq80cxk3d8fcG6lw0Tqt1yrHxYBAXgjKsfHPyE9viN4bx1bgymlg70i2t1S2AsYrrHk9LPs3a4+s+TUAoRN72TpFakLIy+gwUy0lTmWH3ziZP+jEylYMCSYz6A6y8606kNbzjrKpz/74c6JZUKxMkSKUcYiErfR4rxbDgm40yVSM1BmqCQTPU8jLQKJYSeS6FLINhl/YXdeJBlCeW+2eRyAKCo7kiXDen54T0EmcKUI09ETn3yQ3ou/8dTohRMeoD9x2fmjAjCBIbIw1rvwvrGeioRmFcLpo11FubTmHGmx6SNOOWwZsgwJ9JY61JBnUiPX/EFk0Ki8uojgNGXfQFTv3p/1zZXWdf313TGbnuKbZ2SqLC1Bkl9XkdOVNG6OVhrw3Q579d8AgVkgwr361Drj9+G1uadg9yXqVHWckna3U7eB+H5x4o2dlmYSa5sahXkSGlF/J7Wz6PdFace51iXWLeFRK2iGut089ws1ry5BqIxz63/0JJtccqQ5+yVN7LRZtfOXLgHTl6+FNzpigrz69w4WwVSBKV0IS0hNfnn0Ouk0jWlauCQSjto+8gLqXKlO7o51nyoxzhW87BaEnTzJV82nzVJuvADh3o5PplDJWQ5VW6ZCB8a2wVfmvxHdlFiUDwAiRSKJIgFgJImlKcHS1fK1IuSgcvtVEqCAr1MNt8TAFMqI00FBUpJgZE3/gBTP8wqb5y4+/E497bvZzsxDmZIVU5F8sNyPnHySJIy6/3CoX4oL9ehhghQCm4wYqaxpALWFl+hkMM6VKaNKiNW1obF28f67d+5Ed9623MdzhpbdGBN5JEvgzVnmeKYe9X5WDPg7G0PwXsf+JO7p5OXfgIjR32msr1VpvD0GTtvnQ77MuEN+wIMp2w8FYSVERDIGGmX3ma+BZAQAwSchnHQgx4ylSqMBIMdNV08YqkQVXy5XucuI5hPFdaD2iCHlJ1/ZGRkqGFfHvjIW3vut93p3x162JeNVm32/aUAQ4J0joyQylunnaP9DJh1UM656nUmHwb5zhCDPu/22bJ+1jlFIsz9wacw8eZTc46UUUaW/M9z/nIhpvZ7Zd4BI9sOmWZESEpHkkiprDOMKpAlqzr4+5nP/ryq1t2ZD8zBv2/X2VmrdGB0r0RBjjSZbbk6UI5oUU6FUizAT/6xCsfttmmGJ/rDGgAmE4k6Z+sEa39bL6zdZ0wP69pm2w007Mv8WvTkdW9+SeU+S59chdf84oqBhn1ZV7ZehfPCZAppqGsj9ftMlTklP9lXSJXryTKsWQK1ti0wt0sJBQIGIlBA9gMapJm97k9R8WgElFe3ZOoGOq4yYaTpXlb1AqgiUEBGPOyh/YRIZ6TX4wxYffndaC3aaaicpmGwrjKRbDh5A09nYwRIEO497mV4xo/16DfWqQLUQaIAyjlcaXyPdapbtpfh0dpiAMAdK6aw88JGf+3wnkjnXM08Of7TqAHY+aWfwD2/OS233TpTe1wVgcpObggKAHDmHKyuMs09QqRc6QN9gCldUDYWqN1m1n9q2yNx6v2Xuv1O3llCIitDk/71cgTPeWFHm6wpYphobIax1vJse0FdyhEnQJMn7/Nxuy7MndPeBwkCUzpPyZKhV3/nzzj/rfs6rOe66EUea/3ZtLHw3pR9ej1WePMUsbZbfUztdgLwiXm74bNrb3PkSe+TYZ0/eW+saSghRnWUOMhtTZ9mShQRvQ86u10BWArgeABbQtdTWAjgzwDepJSKiagG4PsAngNgBYDXKaXuLzlnhxJVZuHUCiQj2cO8vkRKn2p/vq4IhE+2+vm3VJYkPowNcorJRGI07I+4loUTu4VV7TGzaWOjwylR95z8+p777XjWj//PK1Gz9f6amprqGGDbf/aVUvjwnF3x+fHbXG/SvPqQfxIHDZX76Tkd7St89uv/+NFw/1dTHAuSvOWO8xZr1nlzR4xkyT7FZXvebn6oqthw2a6FUH962XcRvPCEzmOZJVJ5YsXHH4eYu2VuXSm2hXW+wuT2KZIkb4W/6Xkf/R2u/dyRfqpV7j3q3/8aZ24IIWsPr02wzdzyER2ATrVKr6PcufvCujhHhnV97oIBlajwyWte+6LKfW5dsRqvu/jqp4cSRURbAXgPgF2VUk0z0vFx0ENAfNkb8fhtAL5u5quUUjsR0XEAPg/gdcM20CdQQHeHlkqFYH2RKypsWJIhVXl3+kFsdVtgfhcVrcwUBagsnl9i3b6bzRzpxwZBcawLgSoqXGXn7kdtG9T6VfGmYxsTy3vbbL+/iq8bp1YoAET5XKKCqcKTeOk9q3DUjsPlKnaz6YabfeOrHoLYZJs8ISmqQNbJFl41wcoHkS4wZWhs/buCAtXN5i55L9Ze/ZXuO9lzmjY9+fx3YYtedUS89ot52XBpxffVk80UmxdqzbntfeRpFvG29tcvHFV5zBvP+xt++M975dYV32c7L8iXGLB/FHu1qBvWS59sYo9NzQivFdXbXR7cMKYA0SXvSaYbzrut33BeAKBBRAmAEQCPQo94/Aaz/XsAToF+CR1jlgE9IvI5RETqKUi+Wt8JFDA9lWY6BArAwAQKmL4K4+dFDXOu6ZKR4gvnqTLb5plS5spsY4mDvm1W3l8dj6WSmjcojz9U5PgIChCoNLf9pTuMAjIu3b+YK6RsAvcg3cur9s2VUOm+f7rJNrnPxWdbO29W6lzTBdt7+zNzrewa/kDkZUWWn7zqHLRVXjGz++bbz9z3WFBnlWWIM6UlW1d0IT+7fQVe9Wz9R34Ln0AZPHJv1AIxBIAHJhS2Gx38BWCx/elxzwJES59+JrD2t6nCZ8/23LQBBYAV0kLyeOeVukFNdnFo3batb9aTRJmB+r4I4EEATQC/g5a/q0Y83grAQ+bYlIjWQEvmy6fT0NLcp6lVED16mUWP3YZ4i13RTBUaAyZW97LZTnSejdMHKkVK00+F6/dO+nlRteV3o71op57H+FgXcecTT0KMbdrn1WfGEgmErBPv8JZLkeyZ/xdZu+86tHc40H0udzIzY7NRbJOIfgrgWebjfOjf+d4l+90PYByAAJCur7L7rL+/eiVIy/LtAYD3LjgAZ6+4Lr+9cN73bLoEZz95Nc5c2sS/75HlRlFh3g9BcqGuorLA/H28bWWjJQCVIcxiSKssdOn/HDp+G8rfo/ztN+e3Z2P8Re/JrSuOM1sakkJJjlDuHJS7qj3ulc/OIiEnj+yCsyb/PhDW20cAkixc+Z6FB+Ls5dd2frGyEGe3z0W8O3LCMqzvmIrwrJG4A+/3zt0HZ43/LYfxyaO74aypTD1N6vMAld2XNW1d7qcsfDmodetdvCGp7P2E8zaB/ne2A4DVAP4HQLX+OAPWr6DUi0ABQLyFLi0w0wQKqG7nMOTqqeLdgxKoshwilKzr5+4WCVRbDE5sn2oCBWgCBXTiLfY6quNG+ASqzKru5zA2Gy8apZQLXRHRl9B9dPN/UkpN68/RbNusvr98Z1rSgwlAvheTty8AfPWxPwDJVN6BFhzxVx++FGhP4P3PBKiV9U4r5v5kX7gz76es11px2SZZu/ANK+/m766PfE81S5hKeyMWCJTtzea+stlSFauw56oHhCeOOBEohHqKt8ImXhMBixocK1silxxve6cBNvxKoAJ96kiyVhJnTSzNYf3lm5bjffvM7wtrS7S++uhlGvPib7dAokjpYYQs+SrFu0+snx21AeFhLTXWX1l1oy6a6mF91uTfOy6joHuctyVhJNQFQ4u9EQc1pQDRZcwrmTyNlCgALwBwn1LqSQAgop9DD9pXNeLxIwC2AfAwEQUA5kEnaHbYaadl9SUOOeRQHH7YoQM1fhhaNB0loF9Y+6l1NOg5rfU6p583NVOhpH5IbfEfXD/nHIRAVe5ZHIi5h7WFQq2P+KAC+gqXDHqPFYCrrrwSV111Zf8HVZiMZ68HC+m/5q+FDnttyDZr76/PnHYahCJwleLQg5+Hw5Y8D3119S/r5l9UNSoSsVU0BoonqhUo1/Os05mS35Xfr5NEWYVxXSsJgJCuCrl/7mJXf9cL2lRZL5Z1qCrpkCdeZj0Utpsb4b41OqS5eCzEsomsqnXTi8vl1aZCQrxRphiAZRPK1UgCVEWXf+XqJgkoM+Ihlb73SKYOw/ftPRckxXBYT6wEjc5Heu9SBDvsll3AT9r2r2vmv423xYtqD2fYArkehT7WWPEQ1Kbbd8eaJIBAC4+5L5rHuq2ynohCKVx15ZW49uqroJQmt8PY00WJ6tk7j4gOAPBtAM+FlsO/C+AmAIcC+JmXmHmLUuprRPRuAHsopd5pEjNfqZR6bcl5Xe+8Ztpf76ppaUlFubQoVwMQv/gS+LH9V18tu3MkYj34rrFeida9bDokyMd2dMVdmFy4s/s8aMHKmmyhzeoAepOq6SQ0Vp5jQLJUxHsi7Z6A3vN0fexjsSpL4O92/Jwhe+ctfcOLe+63x/9v70vDJKmqtN97Y6msrqY3oJul2RexBRmQQRD8lMUFRgdRVHh03PDTcdxHQcERhXE+wXHDfR8cZXMAhUFBRFAWZZHVRhabZmvW3ujqqsrMiLj3fD/uEjciIyKXquqqxnifJ56MjLyxZJzIe958z7nnnvergUbnMcb+D4Avl4XpGGMPAVgP9dW+S0Tf6/ccmwLT2X81x0YBknjLhffhvDfsmjpUt7aOSLKOVCZasdLTpuhJXpkpOGkqdpuik706E86zRSj11CeZYfwFNZLyVbvHL/k2Rt744XQ/z88UpBTasQqZrZWUTqSbOtq8UqWcckq27HF0P2WKTBZ95XN22R/veOj2/FcG4E57o15Nte6ULDHw094B9rlzbFX2fJFRNRddWsE7rd6ObL0kY0+XPBmbltmaJOS6p8AXbFVt6wp7v2f5Qnxv7/WZL56ZN7BfWzs2NQVGja3nvfSjGP3DN3u2tQRhl63m9TU6b37gr/71yw4tbXPv6Cjeecvtm8XovF5LHJwONUIlgZrd+N1QuQMXAFikt72ViNqMsQaAnwDYD8A6AMfrif3yx7QkatLDy0uSN6cMPTjvsrvIo7T2Va/73PX0BPZZXLyP3XcTFEntRrTK7DbaFphfksT+XLZ1P4TZzU0blETdffxRHdtvfXotbn1mnX3/nXtWdBybMXY1gG0KDvspIrpUt/k2gBVE9KWS82+v840WA/gNgA8S0eTltWnAdPVfzbFRpUyIJEOgzDbX2TLthJVjVU6Ukghwpj6xDlRPj2LWLfIO1sllMhPzmjnjXEfLGiPqOMbZGqfJeHa+OK9zTrnlb3sLXnD+xXabIOiFMk5VvVcOdc8jP4zlv/5qjkyp0dPK+RKkzE594s4jl63e3WnPdNCGJk3OVChF06AEHrekKkOOSqa7WfbWb2HFee9Xn+u2rl1ns63hBzDT3fRra3Af5Pk92XrB1d/E6sP/xb5/3pL5fZOoKw59SWmbe0c34sTb7njukKhpOXEPJIrffDHoxW/o/KCLI2XRBCh0SEg3xzsFox54RZL7+lYnqfBKErw9phKZ88jb6YmxBNvNLY/G9kI1+tFl+p14uax1ma0rw3X9oKy9UbL6sTVQ2r4fIuVu2uAQTNN2/tzBSNQdr39l13b7XXLVIMf2ocJaLyKiVT20/yyAMSL6Yj/n2ZzBGKPmxmeVMiG1Y8052g/scBS++dDPrYqBJLHO1L7GkXKeziS8t5zybfz9v79bnch1rEXzyXmpGgFoR2om4TVOtYfJeD+w8zH4xmNXpJPxeqF1rkvfdg4eO/+fAe4jIaVI+L88GxNHfShDoAQRdmitwoPB9nabIU6xUHPHGcL06jd9Ar84//OFEy6bOQOr/pTY+VX1RLqGBHUSKYaAm0mXu0+87PPctjyJSqJCW9v3+llwiVOVre26a+sCO0dPrUK4/U7W1pkJmJ3Jl1kQWmLF/DB9dSdeNgqUH6REygs7JmIWmvimRArY8bAPYsXVX7PEynz2gm0X9EeifH/1L19cnj9638aNePfdd/VFohhjiwBcCGBnAA8DeBMRrc+1OQzAV5xNe0H9UfoFY+wcAC9Dmgf6DiK6s+t5Z5JEbRib0A987rOynaocqiONl0Fe/SPwI9/V13X2NFTUQdHd7OZYK9tV2Ge6NJkqmlFGpnolUlNi627Eqt/Qn72Y8n0mBLPT5pi8ukFs7TMgoWy7QUnU7ce8omu7/S/9zSDHfjWAU4joZSWfjwDgRLRRr/8GwBlEdGVR++ciGGN0/9MbsNNQDCZi5TxFlDpVEVmnaslTEoOSWDnTJFbOU7/62+6M+OH7CpUKQIV8Pvamb+NLP3tf9jqckI476S7jXBGsHHkyTpb5gSJYfggEYcbBWufKfZAX6G1hhkTFxoFKQqIJVCxTMiUJiIW05MklUbGQ9nNJjiIlyb4HsoqUiw4FiplwnCI+vpcSq8DjCLgiTx4DAs4tmfJ5lkgZAhV4KYEy2yAiMJFMia0hBSiOS23dXrMW4aIFnc/cJGx9xlM74jM7rwV8H3JkS7CoOZCtl6y7B4/OX6a3p7bed/v+SdT/HnBgaZv7xsbwnuV390uivgBgHRGdyRj7JICFRPSJivaLAKwAsJSIJjSJupyILur1nMAMT/tSRKAsXEdYpS4UrZe040e8o7hdlcN12xcUG8tvyzvXYM1KtLfctfz4GkXOty1kx9QpvRKnov5n2GdoJukHZeKSe478nVnXSrBwyOsgU92qfgM9jrrsxda97F/WfkBbz/E0dRIRmM55KyNSVcgTqMlgGmupHA/gfHcDY2w7AD8goqMBLAHwc/0M+ADO+1siUAY7ziE1UszNg9JOVTzyF/jb7wpEbeVMo1bqUJMIlMRArF5JCkT33ZY6VKNk6MRbk2R75vffgnjDaOYauGdCORzM44WqE3EPLAgAPwQlsfrMUUKUFWX6PAuVU0SM48OLXoyzn70tc06p21Eu3GMIlCFMn7hkOT79D893SBQpYqVfDWGKRRrmM5PyquNln++PPZ/hS/eqbR5n6cKYnUyXM608cYaAc7QTqYmUROAxvPb4k3HtJf8JQYSG70EysqNDmEkulwDjlJnsVxsim0DuECgmFGGqtLWrSrnhPW1rY2fm8Uo7mzZuOM9VnVigbW5I8lADn178ECgKsfriS7D4zW9TylPO1syMtnP6wbytXQKVSEIila37BREgikIu5ryDFds8BsDL9fqPAfwOQCmJAnAcgCuIqPvUKRWYVXPnAY4yUUWgJutoe9mvyNmadpnidJ3bXOcab7WrGu1R4e/KFCiXQFV9MyJFiMpEq7nNZzA2vDhDoMx+RXD7DnNe8+0WDpmZyKkyxNcLCpPHe9lWtT0Hf+3DSLbcuft+2n6r2wxbD1G5rXPzDeaJVLfRelNZW6yq4u9kQETvKNj2BFSVb+gcoX3zbf7WwFyHahKLdVgn2G4XUNRWDlU7VYpaWfKknSySGDKKQVJCCgkZJ8qpGhKlX2XOWfGMQ9WLJlPc4+CBrxytdqbKqQbA0HBKpoa045YBEMKWOFCJxxJfW/OH7Px3DiSlo+6EQ4jaiUQsJU49ei+0hFTvHfKkXrUyJQlRIrFwToC1o5ElTymZktj4j6/BFpddjlNvVef19Pd2iZTPGUKf48lnm9h167mKTHlSqVCSEHCGIeL4xfmfRzuRdr7Chu9p5YuBSdXPMU4gsLTPdUfcmZwnx9aWQE2DrT9z0qU4/T+P6dnWC76wEs+eto9VGjGkwoXG1lu/9vVA1C60NUrsXGbrRKa2HgTTMDpvCRE9qdefgvqzV4XjAXw5t+0/GGOnAfgtgE8SUbvbSWcVierqVPtxsvljl7QrHcLepwLVTwipmx/Nh/CKrjxPnIoIkZHDRxtbdzTIz6+UPzZQTabMdbpEqhc1qvykPdi6arsGI4k/rZE4YCt1pWLRjtb2leUKdJuthwa3a+Fhu30+iXA6bUZVfZ+rcMsZMCIb1sk41XZLKRJ2PVUrZJxARIl1psJxqiSlTTouK6xqFQrPs07VC3zw0FcONvDhQ/UUzwAAIABJREFUBTF4GIP8ACxsgEkJNtTI5ltBh4vcYfBkJppNkZYxcFQoSvOaYqmcaitR5MklUW0d3ouERJRIbLPFEFaunUCUSKwdayNKZI5AKUeN8y7B2jFV9sDMSmEmlQ997pApjrmNABuaMUKfI/S5Ct9pEiX1dUtJGKL0N93wPTVY24wkdDxRxy/MsbVRIDtsHWl7G1tr8iRabUucZJSzt7a1FBK7/a/Eg6/lIClx6qcORzQ6XmhrHvrghkiFPnjgY+1HdgC1xpWt/bB/W+fsXWZrQ5aVfQf7M1fVf1HJIasGxWSvm4jlq7Bmj7MtgH0A/NrZfAoU+QoBfA9KxTqj9CI1ZhWJyqDEqa6LGBaFVNwG5WSpDEXtO5xtjwpU5rjoLdSTVyY2RiIzFD9/da7PzRSs6+KMPc4y8rjbPhKEkYDbkTCm1lQZmaoiUplrRXnOU2Z7ka1NCQpAqT+iczqMMlsbApU5JPeVg8tvZxwsboGCRvZaqmydI1aDhPWAyat501GxvEYfcAtjyjSkp/Ji4qxTbTchoxYWf/FRPP0vCyFabUueZJRAxIkmVLF2qDJDpops3RnKS0kU8zxNoHyI0IfXCBWZkhLwVT4Ohhq5A3JwzwO441Adpc19xsklU1ItrUTg0GM+jl9eeGaGQLUTRapiKdGMBNqJzBAnQ57aDolyiRQAHPb8xbj23mcApAoUoEjUxd85D5efcwouuvNxeJzhuH23w5X3r0boc8wJPYQ+R0NP/ySIMORzlYAuCJwRPCbBGQcnBs8QrfwPWrrESTqJ5kmqNDm29rfbBdGKu0FRC0MvPAQbb7iqZ1v/5aUS7Wezp1/youdh9Z1/LbT1775+PY446Uj4jRDC46mtGzIN25bZmukJ5kViVXZja7dgat7WkpSSOCfgGGsPMv0UdSjpd41vxF0TqqDs2iQGgC069iI6suyIjLGnGWPbEtGTmiQ9U3EBbwLwcyKyhcgcFavNGPsvAB/v5ZvMXhLlwnGWi0LqdLronzxVwT0W9UGcJq1aEJUSqCqlqfKY+jXRv4gilx16DHGm18i2MqqXe11l31KSyuUaeM66fE4TyQyBytum0u7GyXFeSKDs8fyws7DmNNjavcVGgaqVqM0cmmC4w95VHkykc2QiS6AoauGp985DPN6EaEWQUYKkFUHGsXKshlRllCiZyZfJI+NUc0oUD3zIMACPfZCQkKEPX0p4jeyEteBeJn8Kerg7pAQ8pLkyGlIngksoVYKgc2ME4cqfnYWJWKAlJJqxsIpUMxaYiASiRKIZJZY8tR0SFeVIVFo3inDJn9QgUW6UKJaG8l71jjfhW9ettOrTebetsutCKtIkQg/CBxr2j6JTFkEQAi8lTyd8/xZc9N4Xd/a5bp+Ut3W7mbF1+4E7QO0WklaE9nVXQjQjiDhB85n18IZDyCjBFjsuwfoHHlO2iVX/ZF7zePy6u5S9HVt7oQ/BOQ79vy9GPN6EjBNl8yiBHA57t3WGLPdm61aiVMUNrQitQf7MUWdO5z6NudinMRcA8EBrAldsWLuxaNcKXAbg7QDO1K+XVrQ9AUp5snAIGAPwOgDLeznprCFRpcqEs85k0qESlTpR3emQH4IlxZN6FoIXH7/DwZaoElOFKgJVRp56calFbfLEyhzfDflVEam8olJGoEy4rxdbF73P27pjzqoylH3er60niZCriumTzSUzENNYsbxGH3BzZZJEJRQ7YTtDoJ743W3Y6oW7QbSUQxWtCEmrbcmTVaYskSLs9MoDsPLym63DISltcjEAcI/pvBgG5jGlPJkwXuhDNkLwQJEoS6aEROBevx4iT0ms1sMhHZb0O8J59isjVSiENGE8QkvnPLW1k3UJVDMSlkAZQuUusZAgSSCpyhy4fzBIEpiZyNwhQIwzeD6Hx5glTmaZE3qKjIVZN8cZ0Naj9xB4OvGdgetioj99998DMP2gk64wNAJvbAJMitTWUmZDtI4CmbQibePI2pp5HMl4CyJKsObuBzO2loK0fYp78iJbM8fWIlCKI2niZHKOTHGdYMc9kax+XNk6agHcAw9CpaByv9J/EAG7jf8V18Q7YH7DV3ltMrX1IKiacUEOlu95JoCfMcZOBPAIlNoExtgBAP6ZiN6t3+8MNSvB73P7n8sY2xrK6HcC+OdeTjqjJKrf/JluBIq430GY+iJQQEa9MOdkRs7uhUg56/2EedwOo18C1cs5PMbsP7uq/V2T5MlUnkj1golEYo7PS21dqiZ1IVA9V3KuQs7W7rkKbV0R1uvF1pFEx+z0k/kWNJVZ6jX6h1UknNCXFIqMOM7UkKqt99sDybhxrm3rXEWkCNUOrz4YD178e50rI0CCcN+FN2gHW54TxTwG7jHwwAP3EnihBy9MIGMfc7bZEs1n1oOkhC+HMvt5agUsjpQqYRLPEx3aMf1evp/Vr0a5IUAligud++SE8FwCNdaKHTVKbYuEhEjUQkTqVRMo6Tzfh79oKa65LatGcU+F5ZKYwfM4YsERJTyjQuXDgwBUgU3OwBNgrJ1gTuBB+GRJoQpdKQJ1+Bevx3UfPwQgCW7mLnRtveUOwIY7lY3jLIEqs7WMlQIpIpmxtSJRvdlakaisrQ1ZJqkWT6pRxIY0RyvvAQsbWoHial0IwJOFtiatSpnQ3gPDe2DJEGEiEpBWjVLLIKgaXTxI30ZEawEcUbD9T1AFds37h5FOOO62O7zvk2KWKFEtQRgums+sQqUocqpMFhCmXsJ8JDtGXRkH6/rSXuZS6wf9Pid5ApWVXVNSWnTcIvLFGTCPWhhlabzctMqTKc4YQo8hiCcw4anZ5KvUKIM5XcJ6vD2mCqP2aetC9BrSzduwgExtCls3knFM+CODH7MO580KfOshH+9f2gRIKgIldaFFZ8h7VpVoIx5vpc60FSFuJnjg/GsgYwERmZFbwjpWoDMHzjjVJx9Yh6Uv2BrMEKhYwIs8eKHA+vseUeqETEeAAbAhIc5bkDo/huncno754IBU2bc1nIyTNeUKdFFNq1BItJJOAtV0ligWEIn6rmuf3IgtFg2r6L0t7UDWmV55w8PptWsFijOJHz1wNt6z90eRMAY/9CA1mRKyc8aEj710Jzz4+n/Azaf/CFyXRbDXKzgCTvB1Arr5ZV3z8ZfC/tXJEWZKYvzmJW/EEeeclA4cKLB10oqsvY2tRST6trWyG4MXeOo1lBlb+42UQOVtLVpteJo8URKAyYYm+5GqJ1VgawObGwUzulItW773jXjoa+ejPQCJIgJEhYIlNqO+berjUAOg4RIokgierA5FZpyqlJ1ONdcBkB+iEkZlKHLCssKhV4WiBkSRCmWK0bkw7yJh1KKShMiqcxHwRBxizUSndNqRV0mESBDG+XBpaQT3uC6ebavjF42+zFSWL0C/ti6ElyPIZfsMYutJ2H0yBApQcni3pcY0gyT+ZedIPStJAkiBDx74IRXm0SOzZBQ7hEkRKONY4/EWorEISStGPB4jGosRjUdoj7YRjalty97yErRH24jHY7RHI7RHI73eRnu0ja223wLRuNoWj0f6GOo4cTPpCCmJVgTRVNtsPaM4dvK44pQohHM7nnEzQs+s29pQgpCIdN2E6W5Y/lSGQI21E0SxQBIL3HTufyNqJxiZ10DcFojbCeJ2gqgZo92MEbUTRO0ks27btBMccP82uP3i8+2+UTtBEgk02wnGWmox5/78tSvxq5O+o0OHihCo0WZp7o+bEWQUmHmHfBAA4I2vtYqNsfWR533aCel12trYWejXIlub9Xg8tb2ypbL3kn2WqOdhPLV7ka2j8Wz40OTeiaZSwIpsnVVRO/tE05ePx2ldL1UwlbDqGxdaWw8Cd7Rffukl33e2YFYoUXnE2+5dnheVd6oucvswInhPP4Bk2+f3fnInZGMcPIt0LS5Tq8NVKYpyZvrMoylKLnY35cmH2zr0WIa0zAs5RqPeHfucgGNOkP5Y3LBbNiOgGK4aVQYzGW/pz2Kyti5BHM5FEI2pkSdV53ZtlVOlutq6T0zlDAG1EjXDcJJxbXhHCpz9+8+rYeY6rJcYR6YdnIxTYpM0EyStBHEzgYyFfpUYfXIMN61rYn0s0fryb5Qq49ib6T+ejDMVmguVKqVUCaVs7HfWZwHOcc9nz4L5G2mLNeoh8jJOwAKlPlkVSgqbYMxao6V/dCRMyYC0YrlRKdIwXoJlOy/ExlZiCVQSKQKVxAL7HnM84naqSN32bwdh39P+oAiNNHlgzvfWKhQAeB7D7oe9Dp7PkcQCkgieRzocmCpRZiSfW1cq9DliyRTp40qJEr4zabJTfHv0xq8D7TGIOQvBo2Y2bKsLZ5qK5CJOMrYWjipVZmsppA7tqVCe+b4H3v0H3PyCg7Hytw9lbM085ihQytYkgsKBJu6AA+ZxBEEI6AKgrq1BsrR/JgIaPkM7UXMemlpfQo/QiwYM50UV//jjfsM0M4hZQaLWtQS2bBRPWOuiL6fKOIgByTbP600tKCBCrD3Wn9MscLLrWwILe/huPZ/CWS96zgyB6tVX5yNw+VpPLpEyYT1zfMaAZiwxEnD4nCGR3ZOme02pGohA5bYH7dHidr2UsDBNoyZoqEAxmqYBBf1gwIJ0NaYYc177n2he8n7rSM20Hq4yIfSQdjMizzjVaDyGiASSVoKkmUDoEE84J8ChgYeNrQTRRGzLj5i8RjO6zGN6hFnsqSRrHeLxhY+b3vcZ+A0fwbBKQAbS0XwyUOSOBz54kDpVU0GdhADzJRae8AOsvegDme9LBEhQRik3TlXIrArljsBrRiJDoJJIIokFhM6LSmKJvT91AxojAcbWN2HmlCOnxhHTSfCMc0hNqGRCEL6EJzgoSIsBGzQ1cWonEqFzXQHneNf7zsS53z8VBy+di7ueburv1gWUzn2nFJ3YFtHsZmtjY9fWKrSnw3qSrK2v2+NACKJOW4ceRJS1tRQEX+QKAXOOL3z1Gnz6s6+EiH3wWKlRLGxki4AKoZhAiaJvbE1wJ402OXDK1v1CHav8882IQ82OcN6WDQ+sVeLwes1pcuBteKJ7iKfoGEXteYFKgd5LKhgC1UsSfdERXVmzG4FyEyN7RVH7/LGrDjesSzIkU/HUD2Bru61sFFHQKNhY0r6AuFE4XB7WK0Gvtp4jmt0bVkB1wNVLjenHxGUfw3+/6C1KlRDp1C2QMlO6IBNW06qEVSfGYyStBNFYjEvuX4toIkZbh2PHEmmXpiA0Bel19b6VSLTM8VoJkqZQx2smWLzPdoibiQohuaE9t6RCnKRkwJl6BiSx/tx3qi9Z5FwJer47lQSe6KldImGIUy6JXBMml0AlsUDcEojbimDFrTZGV2+AiJoQURNxawxJ1LRL3BpD0hpD0hpH3GoiiRJ9HNlJ0CKlcLViJw/LuS5JhG99/STEQuK6R0f1EP60T7Rdmv7uzO03cramJO64p3lbG7Ls2tqstyNVDsLY1dj7iNNfm9lWZWt1DomkpYi5aEX4+AcPUupnlF6bUs7MMyqsrS0yyeWdtjZh22Wfeoe19SCoCueJgSrvzQxmlETxpGXXqTEvY7wHNlTkp8gKp0YSYv52g19U3sGKpNC5duwzIIqk0EEiPpONEnUjUul2wogYz24b6ITle/Vj6yIFMvM2binZ2hyuMa96f5Igk0NVVpuny0TXvWLC655fVoVMkb6Spcb04bHPfNg61rfd+mPrkCiJMP+029OK5EaZsEUWBYQO5xhVItZL0kpw/P7bdBIlqZZxITEupF4nh1zpgpYt15kmePS6lZCxQNIU+rz6GpqqPpWM1BB7l/jZiXELVQkF89x++8aHMtWsY5GOhsuUMjBqU5QlUHY9SiCiliVOahmHiFpImuN2EVErQ6qS1hiSKELcijNESpE1dWyZU8WO/Ne3KZKnw1KmIreZBLkSNn9I2PtkJhrOq1B5WxsiJaL0fTsSGI9T0rT9TvMx7tj7wlN+gdufbWFck+djlv+qw9ZxhpDH2P7QZfrZSou5yjhWIwGjBI9fc6u1NYnU1jYsXWJrqfOhjK3vOONH1s6DIJJUugx4yBnBjJIo6ReoBABAEnvOH+DSzAPQMbqLChdyHWrZsSrQixrVTZQIvfLv2asKVeaIbaE0vSzwE7tehCoi5X40yueUnjdEnwRjUAJash/TMX5GBOhJNc0rIwIvUjzzz0tBDlWmyGd+JKdp08flTwWkHhZdtfQLxtgbGWP3MMakrq/ifnYKY2wFY+x+xtirSvbfhTF2s253IWOsy6iOzRc7fvardp0RwU4gLASe/bdlGTLr1oFSjlRqcpNVKVqJxOOPbFCOUqbO1CgRRolqCokT7zjf+TxdklhYImXJmjsaLEpAWiUzjpZilddjQnmZauwdycY6VwmEdx+8E6QmIqZvcdUeW0RT5zwJZ0kJVAThECPRbumlqRatSt15wAN6m/48akEkal+ZRFqVyhIpc85YpETqM28/y16bCU2ZMNqe139DfZecEsKczs6uO2qOtbOxcVxua0N6Ym1H19bLV6y3tl46fwhNQdhlJLBtfrjnqzK2butQoGvrlb+8M2NrY2cRK7tvd8g+NmxribOxdQkI6X2SlnDC2rpfmHBe1bK5YFaE80rRbbRclzCLdaYl4M0Ntk07rCBU+eNLCZTVnyohclOFXghUGVFaF3td2/SijFSRhWjQNLtpsLWrQOXb0dDc3q6lKu+owNZ5klZUuWOqYOrrVC0DYDmA1wO4zt3IGFsGNWHnCwC8GsC3GGNFyX5nAfgKEe0OYD2AEwe5iM0GZhSbSPN31DBz4YR34pS4aGUiaaYkx6hGsUj/icek/qk3raMl/T5Vp87e581oColIEl5+/y2WbBnnaoiUjGUm/0bECW756Z3FqmVZiMeBGcxi+iIbgtF5UYlWohJNoNxaUDIhq0ipXCgBmUQQSQSZaHXMrGcIUhMvuG6JJVQialpCZciXOo6EEKTPJSGSdN2QqBfusRWENJXSkSFS9x36/q62Tu2sc9+0zV1buyqUIVJ5Wxvbldn6jmfG7fum074lCSdc9UU0hcS6SFhbJ01RaGuX3FlbuwTKsfX/LDsq85W3HH8s43NcW8dSWlsP8MOpVqI2o9F5s5tEafRSjLFzH4K34fGez9Fob+gkXFXn0GUTyAt7up48bO2NkodlyPG+VaMmssfsf2hoNyJVpkZNFwaZvqeKKJfuE7eyG0qeMRarvCVr57K2GjKnbgpKk/VtjZ2+r7YYlTkFlE6b0Q+I6F4iur/go2MAXEBEbSJ6CMAKAAe6DfR0CYcDuEhv+jHU9Al/G5BZ50RCQup574yTNQ7VEqoCp2rI0PLRNiJJWBcJS6CMkzFqhXG+l+12gHXIpl1iHXi6mErQ+x27F2SUYKt3fdQSPIpagKtClSByZAKpSYhRKEwo7/OHL03nxXNUqCQWet2Qm0irSUZdSklTEjWRtNUi48iuu6Spk3jFkIasZc6nyhmYkJ4heSaEl+3nnAhAUf/o5r3pmyCipNTWMkekpMySZUOMXRKRf59uV693f/YriAkIOUttnbP3M39eja//ZDlknGD7N79Zhe5sMU6hbA1FCE0o7033/DLzXVfPWQoAmD/kldp60HBerUTNBHossrjRUyqDmN9RlLQrKomU+Rfi1J2KBAFeCN7O5gn1i3z8ub0Jn6Lpqskx2p5EnaIeVahBCBQAMBF37ltQpZyCYd0+SgleSTivCmUDASaDbp3QFD9C2wN4zHm/Cp1Vf7cE8CwRJRVtnnNglPtnD+h8mXTeO6GJihSUUyaUk3ed6tVf+m9EkrDDsI9IknWUvS5G2Ygk2VCPUSikIOz8D4fY6/r1urlYdMzxOPldP1HETztY17GW/bEhmx+j3ls1ShI+cuUjdt1M4yITHTbTypAiPIYIpepTEinS5G7LLPoz4WwbXrDEvhdJOuKPJEEkpF9lRxVzNdoMHX88iIB93v7d8tHGlkCJDltbIlVgaxEJqyq5hLdqKWrz+989agm32bbN3y3O2HrhrgvwvuP2AgmJx356riKTcYJw+50ytu40bKe917ey7VxbD6JEEVXnRG1OJQ5mJYnqUAlyKBxxZfYlwrykeN5CFk9M6rrscZxQXoPagIggi4bBF4DQ+UCGBTGfImKT+bdUoEJNBpIIw352rjyDPz/d/31jAOYNefCjsUld1yaFTNDqpQCmSSyfppBtrxhUiWKMXc0YW16wHLOJv8Lmj4I/djd+8pw0vOeEyoxz3e/Ud6W1gaROxtZkJJKEQz7yT5YEu45lfVztcA3ZSu0Pq8SY+dlIEB648HfW2b/wvFOx+qKf4vPfOaHnr7zz4R/KKDRHLnbzZDoXKVX9I0lkVShFqjQR0iEx856EKCZPBWTKEKeNT67EDz7zOvveVDsXQuKuSy9ICZWjnrgEQGpValFD/UHadsTH3ee8F3ccVjATiKNA2Rwyx9YmlKeIFaX3vsDW+deixf1MUP6z9HiP3fQE+C+vdObiU0TOJXYA0HzoQQBAa9Wjpc+wCyLKEOYiWw+C50qxzVlJoqpIEpAjWb06MpIgv5HGtXP7tYbmp8fvxYAD1uhhQKZu1OqJJCOPG8xrre75mFUPHBUsZWgmxZ++YHF5VXGbY1lwXgBIworco37Rqwrl2rhLqYv8MRpJgaJYYOsnm5jxOlFFHe5d7TFcMPaMXYpAREcS0d4FS9Ws549DTdppsFRvc7EWwALGmF/R5jkLM9LpJZ97S5prJF3Hqpzbbad/HzJW6yIS1jHG1OkkzTKaSDQcRcp1voIIxz54G9ZljpV+bgp1KuImUqfqELyOIe9mCL/9culv4KFrvmbXD3v9SbjqKaNMqG1CSvDjj7VKj5kHz04sLCmjeBkCJTUhkUnU+Vlum/3MSYh/56kXpNsl2alD9n7Nm+w1uE7fVaMM1kwkkAQ8Oa7+KO137TXpPZBZVY4c5dG1dfo8kCVSxva24rdj6yICVUWq8oTKtXV0xJF2KhlyCZS7SImFZ/4Vje22t4QwY+s+ICZRq65aTa1J1ECIyKkMXYV+FQCSGA3mF243x2q0N0zd+QwKhsKbR8OMYtt6TnFoSG6xJNN+EJTmUpVs74f9l4/wI4RsChWaAWw9qeP02G7b4R6vZxpRFL7b0x/BMcNb22UKcRmA4xljQ4yxXQDsAeAWtwEpeeJaAMfpTW8HUEXMNm/kHOo9Sw8DAIw+sFJtEzLzCqQjKtV6WlzRVZ46/5kDT33vArvuDjM3zvO8nffr+BxQr+7ktup6yDrY/PW5aN1+bfom94dhm6u+AgD47cVfyGw3xOQbD19qVShFmmDVIdIqlHSS8AsJUo48FZErkkKpVx37q+9kFCgpFZmz96VCPXneqt+ndi3r5xzSkSGjRo1yRsiaCuRSyJxtitQYZOzqtjH72HtNncdwFUdD4Ipsvf7kXQu+VHXfZ/KhDGE2th6kRiBB/fEuWzYfCjXLSJR1vgP+wy9UJvSDMS+uIEn9oB+nXpA7YwJm3UaxjcUVw027PGGBx7o+hIM+pLxLRXLAIcMOvPG1A52vbMoJRqRmI+/rYFNEyGYJpiOxnDF2LGNsFYCDAfySMfZrACCiewD8DMBfAFwJ4P1EJPQ+v2KMmeJsnwDwr4yxFVA5Uj+c9BfdTPCCVYp0zNszdVD5UI9xau4Es3k7dZJjwnbvOV6FUqCWIgdrjuU6Y0HIhJPyVe6zzl9k1JXG/ocVjkAFgKde+dHKPuTEGzr/QMqcszWhMKUcpesvPPo1mVwdO6lujnCZY9hjmVFydl2TRue8B+yyyFGi0jIHklKCcv/Sl3XkMH5oy4My110E19YTayZAgnDgmR+y4VRLQPS5Dtx3caGtzXXkbZ0P57m2BrIEKyVuKWkvtXXJ9wF68xPTEc6rE8s3AbyxNXb9jg3B5A5WMmR+OrApno1BJ4TsBYM4ZgAQI1sOtJ+dt7Dos/yPf0DS083WTMQDHddFMA2/tEh2X/oFEf2ciJYS0RARLSGiVzmf/QcR7UZEzyOiK5ztRxPRE3p9JREdSES7E9Ebiag9Fd91ViNTEkN0OKWi6Xn+58+rVY4OAe/c4WDtLKudhyxZLxtMUHYsq5C4obwy5P7QloXvzchgV5Vwk8pTQgP9vmDSc01+7rr80g5FKW1TQKTc8hKZUhPZ85Ik3PKg+jPXr3rytbU3FX+Qu0azPrxQpaTcfNLZnbtA2fqGO54GUNynVtm6at3kn6lLUxt/9b9/7c3WFXheI51docjWg2CqE8uratzl2r1a17pbwRj7pLN9oBp3s5dElY0I0dWkxdyt7Lb95nc6ub5VCgD3t9IYDXmTJGYl2BQFGTcjEp9iU+UXFTxXxBi8Vcs7tnOtnpU9C4JVq4muHYqExckmT06HElVjktD9Tj4/xmCHl6nJ0I9blvZf//XYHzvavWLfxZkQTi+u7wvLXmbXX3zIUr0vFTpWAJn59DpgSE4+D1F3YFPxa82TIXd7P8cAANllH9O98F7mZOoH2t5DC6pzPw1hzsMNu6rX/i/BY8Cfnm11/N5/euMqAMDRr92jeL+Xv1Wt9OAr73N8o4lGPLJm8BHphOpRxQPGAApr3LnQte2+CeAoAMsAnKBr4AED1ribvSSqxKkWVZN2YRxeUaHFbnDZdr/qw5icFXM5b74oIc3e6FPTfmpGBLF07+y2aByyi3rm0eSmf+klNFqFqk4or0rUmHk017fw2O/vrWxz1NG7AQCuvPPpzPZeOuqT/5Lm8tysHajX4zP24flv7qldP/C6EBYzmfBk0G1/5lwDm2oC5aD97Jg+R9ZS595UPa7CYyxjo0GK8woCDliQHYx14Z1P462aSJfu97uf9n8yDc4Ydls8uUFDU61EVdS4c3EggBVaMY8AXADgmMnUuJu9JGpADBR6KSBs1KeDm8unZj61qcB0ql2bemoTMW+b3hv3omb1qHhRWFzq4Ad3r+v9ejTkpnVMAAASKklEQVSmZHLmAvRSM6jGzIHlpnQyIR71GQPjLOM0PcZw1RUP2nXjXIscK3f28VjaprAtZ+AeB+MMvMRLn73hQneHntSJjvMU9JmMM3DOLIFhHPq957Tx7Ku7qG25uTA5LyRf3Oznuccq7638KSRUhUqexlsO2l63SW2d2i5tV0Z2G5xlnHR2n+y6x5i19Zv/bgm412nvnS/uP7r+83ufmfJ+nwAkUs6Eil5W727gGnezjkTxVnGNp15QSHymOkzkHq9LfJm1szWShtasmJpLmIInutdDTJYAbA5qSClhLnh23v3CRR3beLN40II56lR22C7qcN4sgfOcnHbUvwPcyzhWxnkaOvMYWM6xeazYURpyZIgSR7q4xMndz5CvdN/OyzXOtbkm7Z+Yx8G8LDn544mfyOz3kTnPz35t95iMYYshr/JZz4fSXNLDc0TKrKtX7iwFhMvrJFQGK679RQeZMgqZx3mpWmY2Pzra/59ydS+5tTV3yHRKjFOCnF2ytjZ/hMxn7j7mOEUE2v3O3GP2+XvkjcMd5P6DB7zf7FT4fY59/uLK79tNcSzAumFwPIpWRjV/jFq4mZ7FzfQsrsc6AHg4v+NsrHE360iUbGxRuD0z7Ua/qCJSk1EvKv6BAOiYn6291e7dz9UnSv1/1T4l24v+SZZ1imWhqHyF36maO86tEg84xCfJFWbNJ8K6/1inUKly28rhgvIZXTDoiJbMMepw3syCuURJPWdnXPHpdJsmJgCwy7v+yTovrh0r9zg4ZwVOlCHkLEeIitt5DAVt3c+1CuUZJSh17nMWz7MOvwgH//CszHf86kR1KHKjnqHA48wuRoUyh2H2vQfOPWy9y84ZMpRXo7gf9rQtXbizzrDnEcemapir7rkkgzHwEsK547zOfMiMCsYNOdYkNHcvjRJ00CeOKrT1Y80kY6u8rY9cPJLbxkraM32+1L7G1uqas3Zmngd/y20BzvH1P32z1KZ5omzwhxVrrI37BRHJ/bEAt2FDZoqd7dDAAViAZdgCG1QJoA8V7DtIjTsXZfXuBq5xN+tIVBmYcCb8dR1dr06P8eKlAL2G8rxnn+jt3JMAQ/GUIQZEFYQG2R9B/v1UYCoTTYtPoDupJCq2l19QmNWxLyOaElsX7zx4CYRBOp88YqKuS41pBs86JsY9wFWe9PrDPz7XKkDK0acqhXGCgSVPxepEniyFPCVbc32e+dxVq4KRANxj8ELPOlcA+NK3bskmlxtyYNQerzikl3es3JyXp8+1b4gUY9i4rqnCTD63pIr7ARj3sPaxxy0p8vzQ3kPuh3Z7/jVDpjy1H/dD8MD9nIMzfS6mCBR3yB2AnkhA0bQvJEVGtbPKE+d2PW/rW79yVcbWhijvNhJYOxn7GbuGnOG6NROZ96nN0/bG1iFn4AG3JL2DSDnXCQBi/TMdz7B+GErvh7H1S/fcSt9DPpDSfg3W+C0IPI7O2UnuwgbsgRGYEb9TjFsB7KFH4oVQk6pfNpkad7OGRDVzf5vtyKecQVm7Otw3KafYDziHWLBd93aDHt75HpP1t4OQJ/c2mvO7g42aA046WYU2+hsRaWw9XSMpLboojjOFOpw3e/CNddkkXu8NJ4N5HFvsuNhxsAzfv3wFmCY0XsjBA+44RGTIUafjLHakIWcQRIX7cs5AgiyB4trBe4GPkz/ykozjB+AQqWrHWkQuODMkhWfUqAVbjygSo1Uxz2M2L8ooUC6R4kFoSVQRkbLbNYFyiZNnj8PBfQZP54IxzvDgHSvtNf3w/30tJVMml4gxlQ5WKtVzEEtDiuq2pOHElSecYW3thR544JXaOnBs/YqX7pgjRp2EypDponaurbnHO2zNcyTP2tksKCfMxtZ5f2BsDQz2h5CIRJEaNQGB+zGO5djY95ybZTXuGGPbMcZ+pc+bAPgAgF8DuBfAz3QNPGDAGnezZkjZsMcyVSTtyCf33z7noKGCcB/j2erBjHWv86QnmO3YnO8cuqleIgH8SYQac2DZ25ABZ6kqlW/HGetryHy+fS8jxVyletifemIxBCf/gPOeptYhxgau42Rs/YSYg9BjWDL6IMR8TYwLn43BvrNrNxdVtu4FdbhudoAYxwe2ehJyTKtQ3IP8xZfAOMf4U+scdYLjfcfthfZo5Dg5Dj/wEJKAIKZsmnvM3NCseV0TCSwZ8hz1KXWogatSWfWJaTWKZxSJ+y++E/ue+FKVt5PLO3K/XxGYm8Nj8nIc8mQWxhk8nyOJpaNEcXA/hJcrnGlLFnCRKcZpz6lJy5wtt0N7w5qUVGWIVwA3oZ1xwPM59vj73e01ve+0j6QhRyffqCdYAsLtOuMcu198BiKe3luj/iWtxJIbP5Ydtv7jH1ch1DewqNaXm/+UJ08BA96948FgnOOdt1+N45Zt1WFrHvjwAl+HjzWR4qkiZe3dpX/L5l9lbTwIrsEafwH85HG0sBSqhIJRof5Mo32rUET0cwA/L9j+BICjnfe/AvCrgnYroUbv9YXZ+RfbAW9uKPwRj/Ly+dyAHhSpCgL1+xtu7Pn6bK5ODw6Ws871If1U9mqIG69PS2Dkv2I/Q+YNgeL6H6KLQfKsAOB659oGRWGH3YXI9qI+/v6GP5Tus503ga0wnhKobhi0oj5Tc59N1Y+uHp03s8g/UwBSB+sHYB7HZ066FJ5xYoFvVYlTX/c5SCGtQhF4zHGM6fqwxzHsqVf1Xi07DPt2m2nnEqgHkgn4gQcv8BAM+1YZ4YFRRXwwj2PZCX+fqhTcA5zRbcRY5lnnG5/u+LoHsMdyIb2CxeeaSCny1HziHqVk+EpZ8sNhcD+ANzRsiZCnFx6Earv76oeINq7PECgvbNiwnudz+AHXqpdaGGMIvKxC5jvXDChicMdNN4JBKS+F3QrTeW6Z8KcmK1yfU99bL/S06ucpFSpn62Gv09buq2ljtj2BpvNMcDR0mwueuBmXPHMLjt19kVW+UhXMIc06Z8sLfGtrQ6Csqt+lb/vcZX+xAwQmS6LyatRkVKiZxOwmUYyXJu3Oo+qEYkA9GL04WNnYItPuOtM5ljnvgvAOM/PkVTyERT6tl6rSDGkV8j/eeL3dvqHdWQuriBSVkSt3+9xQ/yvpIGbl++VDejdcf31n4x7QJG+ghG4XpbbWdrnuxj9Ut+vD1lXX0Q3hgB1OEepw3szCPFOuY3WTm7nH8bmvvsE6L0VcGHjg4Yu/OQND84bgNwyx8jJOM2BZZ9rpXNP1D1zxOYScWacacoZ7k4mM4/ZC16krJ89DRex46OOJG//cqbDknm8znydgQjrA7Uzl6HosVXSGfI7Q5/Y19DjuuOxyS2qaq5bDDzkevely+GGYI1INeOGwXfxwGFvtti98ve47n3nhsG7fwK3fOF699z1FnHyehvT0epi5Lg+nf/xM219ypvJ9br+p4g90PqSpbf3LPd+ahswKbG3s6znrrl1dW7ukKeQq8dysPyxbzvPhqFEeS22sSbI5H9fXwkNfqWOhr5UoJ2xbUc7C3hummp7+ur1V/p7HMrYeFG5u1DTnQk0bZk04D0AaYsuF50qRb8c4xr0RjCTZvKluRCpfisAeu9vlOm0oP0+e/qzIjQlJPbF3N+QWFAwdmT+k/0UUnMQlSL2E7cYiWUmgivaakpAe4xhGSWFUN6RXYOuy6uMZ6HwpKvrMPVYXVP5D21TV1nOow3mzAOZ3zhiiFXcj2HYXpeZwzzov8+rFqo/wQg8yFvAiDyQIgfPv6rbvXoh9/un18JiyLwcgwRxCnH2GPcZw7j+eliFQgacUn2DYtyTNbwTwGz78YX0tgZ/mQ3GOpYftb0mgJVLm++We70c3RFgyN7DnNwQq8Dg4k5m8qNBXrwe+8XWI2wmkkDZPZ/fDXocklvD1dOw+AJFESgWTAjJWYfrRJx+GF6pwTzAyDyJqWaJq1KdDTr4Cnu/BDzz4oSJrfqAIFTekSl+Puab/+Oqplgy4oSrOAO7eZ8ZV2oC7zj0Q54Dn4TUrfwZZYGsv8OGFas4/KfwOW/NIAJClthbEsPe8oTQfKlZE2c2VCjzm2Fjb1yFSJpTnOUTKEn4/TAlUgZ3zvZodAWjvU5oDNyiISBzBtsZNWI8xCLQhNysVCpgFStRolHOMZlVmi1cSU0l9hQmPzn4jYvBS9KXoVZnIo6wKdxcCVSiUOOv53cuk50hkQ3ZV4b5B8vEnlcNfQTxKCUt++2TIS1kYdlBbY7DpdiZzD2slamZBAPY9a7l9Zob2OgDwA4B7WHXVjXoEF7dObHjrhQhGGvBCbh2e3/Axf6d5lvAc9N43o+FzJ4ynHKdZFgaeXR/xOEY8lmk7FHoYj6UiDVr1UE7WqBOOow8D7eh9FX70Qx2aUo5VPPFQx3fmAHZeMKT6HLBsKE8rFMOhZ8lK6HMMhx4agSY4gSo94IfmPdfEJ4QXDiNozLWK0/qH7oI31IA/PGIXkgJe2MipUg34oW8JlDmP5+vzhB6GAw/DoZeqY4ZMOSqUUV06DV3Qj7uJ2fqeZQhL4MNrhCqUGqR28Bu+tbXf8AttPaJDdSOeWoy9fQ7bdr9j98KQPubcJSM2ZJseP4DfCOA1Qq0+eeW25hxkRjkX9KlFtg64DktOUokClBolQJulCgUAjGaoo2WM1T18jRoaRNQXnWKMPQxgpx6aPkJEOw9yTTXKUfdfNWpk0W8f5kLXZ5JEk6gbM0OYMRJVo0aNGjVq1KixOWPGw3k1atSoUaNGjRqbI2oSVaNGjRo1atSoMQBmhEQxxl7NGLufMbaCMfbJGTj/Doyxaxljf2GM3cMY+7Devogx9hvG2F/160K9nTHGvqav927G2P7TfH0eY+wOxtjl+v0ujLGb9fkv1OXqwRgb0u9X6M93ns7r0udcwBi7iDF2H2PsXsbYwbPovn1U23M5Y+x8xlhjNt27Gs8N1P1XT9c4K/uwuv+qMdXY5CSKMeYB+CaAowAsA3ACY2zZJr6MBMDHiGgZgIMAvF9fwycB/JaI9gDwW/0e+lr30Mt7AHx7mq/vw1Al6Q3OAvAVItodwHoAJ+rtJwJYr7d/RbebbpwN4Eoi2gvAvvo6Z/y+Mca2h5qw8gAi2huABzUv0my6dzU2c9T9V8+YrX1Y3X/VmFoQ0SZdoOa1+bXz/hQAp2zq68hd06UAXgHgfgDb6m3bArhfr38XwAlOe9tuGq5lKdQP+XAAl0NVN1gDwM/fP6j5fw7W675ux6bxPs0H8FD+HLPkvm0P4DEAi/S9uBzAq2bLvauX58ZS9189Xc+s7MPq/qtepmOZiXCeeVgMVultMwItg+4H4GYAS4joSf3RUwBMid5Nec1fBXAyADPUc0sAzxKZyQQz57bXpT/foNtPF3YBsBrAf2mp/geMsRHMgvtGRI8D+CKARwE8CXUvbsPsuXc1nhuo+6/umK19WN1/1Zhy/E0nljPG5gK4GMBHiGjU/YwUxd+k9R8YY68B8AwR3bYpz9sHfAD7A/g2Ee0HYByp9A1gZu4bAOg8hmOgOsrtAIwAePWmvo4aNTYVZlv/pa9pNvdhdf9VY8oxEyTqcQA7OO+X6m2bFIyxAKoDOpeILtGbn2aMbas/3xbAM3r7prrmQwD8I1OFFC+AksPPBrCAqWJk+XPb69Kfzwewdhquy2AVgFVEdLN+fxFUpzTT9w0AjgTwEBGtJqIYwCVQ93O23Lsazw3U/Vc1ZnMfVvdfNaYcM0GibgWwhx51EEIlz122KS+AMcYA/BDAvUT0ZeejywC8Xa+/HSrXwGx/mx6tcRCADY78O2UgolOIaCmpCtPHA7iGiN4C4FoAx5Vcl7ne43T7afsXRURPAXiMMfY8vekIAH/BDN83jUcBHMQYm6Pta65tVty7Gs8Z1P1XBWZzH1b3XzWmBTORiAXgaAAPAHgQwKdm4PyHQkm2dwO4Uy9HQ8WUfwvgrwCuBrBIt2dQI3IeBPBnqBEU032NLwdwuV7fFcAtAFYA+B8AQ3p7Q79foT/fdRNc198B+JO+d78AsHC23DcApwO4D8ByAD8BMDSb7l29PDeWuv/q+TpnXR9W91/1MtVLPe1LjRo1atSoUaPGAPibTiyvUaNGjRo1atQYFDWJqlGjRo0aNWrUGAA1iapRo0aNGjVq1BgANYmqUaNGjRo1atQYADWJqlGjRo0aNWrUGAA1iapRo0aNGjVq1BgANYmqUaNGjRo1atQYADWJqlGjRo0aNWrUGAD/HzKyC5NwJijcAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# make noise in 1% of the image pixels\n", "speckles = (np.random.random(I.shape) < 0.01)\n", "I[speckles] = np.random.normal(0, 3, np.count_nonzero(speckles))\n", "\n", "plt.figure(figsize=(10, 3.5))\n", "\n", "plt.subplot(1, 2, 1)\n", "plt.imshow(I, cmap='RdBu')\n", "plt.colorbar()\n", "\n", "plt.subplot(1, 2, 2)\n", "plt.imshow(I, cmap='RdBu')\n", "plt.colorbar(extend='both')\n", "plt.clim(-1, 1);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Notice that in the left panel, the default color limits respond to the noisy pixels, and the range of the noise completely washes-out the pattern we are interested in.\n", "In the right panel, we manually set the color limits, and add extensions to indicate values which are above or below those limits.\n", "The result is a much more useful visualization of our data." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Discrete Color Bars\n", "\n", "Colormaps are by default continuous, but sometimes you'd like to represent discrete values.\n", "The easiest way to do this is to use the ``plt.cm.get_cmap()`` function, and pass the name of a suitable colormap along with the number of desired bins:" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(I, cmap=plt.cm.get_cmap('Blues', 6))\n", "plt.colorbar()\n", "plt.clim(-1, 1);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Example: Handwritten Digits\n", "\n", "For an example of where this might be useful, let's look at an interesting visualization of some hand written digits data.\n", "This data is included in Scikit-Learn, and consists of nearly 2,000 $8 \\times 8$ thumbnails showing various hand-written digits." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "For now, let's start by downloading the digits data and visualizing several of the example images with ``plt.imshow()``:" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# load images of the digits 0 through 5 and visualize several of them\n", "from sklearn.datasets import load_digits\n", "digits = load_digits(n_class=6)\n", "\n", "fig, ax = plt.subplots(8, 8, figsize=(6, 6))\n", "for i, axi in enumerate(ax.flat):\n", " axi.imshow(digits.images[i], cmap='binary')\n", " axi.set(xticks=[], yticks=[])" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Because each digit is defined by the hue of its 64 pixels, we can consider each digit to be a point lying in 64-dimensional space: each dimension represents the brightness of one pixel.\n", "But visualizing relationships in such high-dimensional spaces can be extremely difficult.\n", "One way to approach this is to use a *dimensionality reduction* technique such as manifold learning to reduce the dimensionality of the data while maintaining the relationships of interest." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Deferring the discussion of these details, let's take a look at a two-dimensional manifold learning projection of this digits data:" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [], "source": [ "# project the digits into 2 dimensions using IsoMap\n", "from sklearn.manifold import Isomap\n", "iso = Isomap(n_components=2)\n", "projection = iso.fit_transform(digits.data)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "We'll use our discrete colormap to view the results, setting the ``ticks`` and ``clim`` to improve the aesthetics of the resulting colorbar:" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot the results\n", "plt.scatter(projection[:, 0], projection[:, 1], lw=0.1,\n", " c=digits.target, cmap=plt.cm.get_cmap('cubehelix', 6))\n", "plt.colorbar(ticks=range(6), label='digit value')\n", "plt.clim(-0.5, 5.5)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "The projection also gives us some interesting insights on the relationships within the dataset: for example, the ranges of 5 and 3 nearly overlap in this projection, indicating that some hand written fives and threes are difficult to distinguish, and therefore more likely to be confused by an automated classification algorithm.\n", "Other values, like 0 and 1, are more distantly separated, and therefore much less likely to be confused.\n", "This observation agrees with our intuition, because 5 and 3 look much more similar than do 0 and 1.\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Multiple Subplots\n", "\n", "Sometimes it is helpful to compare different views of data side by side.\n", "To this end, Matplotlib has the concept of *subplots*: groups of smaller axes that can exist together within a single figure.\n", "These subplots might be insets, grids of plots, or other more complicated layouts.\n", "In this section we'll explore four routines for creating subplots in Matplotlib." ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "plt.style.use('seaborn-white')\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## ``plt.axes``: Subplots by Hand\n", "\n", "The most basic method of creating an axes is to use the ``plt.axes`` function.\n", "As we've seen previously, by default this creates a standard axes object that fills the entire figure.\n", "``plt.axes`` also takes an optional argument that is a list of four numbers in the figure coordinate system.\n", "These numbers represent ``[left, bottom, width, height]`` in the figure coordinate system, which ranges from 0 at the bottom left of the figure to 1 at the top right of the figure.\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "\n", "For example, we might create an inset axes at the top-right corner of another axes by setting the *x* and *y* position to 0.65 (that is, starting at 65% of the width and 65% of the height of the figure) and the *x* and *y* extents to 0.2 (that is, the size of the axes is 20% of the width and 20% of the height of the figure):" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax1 = plt.axes() # standard axes\n", "ax2 = plt.axes([0.65, 0.65, 0.2, 0.2])" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "The equivalent of this command within the object-oriented interface is ``fig.add_axes()``. Let's use this to create two vertically stacked axes:" ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax1 = fig.add_axes([0.1, 0.5, 0.8, 0.4],\n", " xticklabels=[], ylim=(-1.2, 1.2))\n", "ax2 = fig.add_axes([0.1, 0.1, 0.8, 0.4],\n", " ylim=(-1.2, 1.2))\n", "\n", "x = np.linspace(0, 10)\n", "ax1.plot(np.sin(x))\n", "ax2.plot(np.cos(x));" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## ``plt.subplot``: Simple Grids of Subplots\n", "\n", "Aligned columns or rows of subplots are a common-enough need that Matplotlib has several convenience routines that make them easy to create.\n", "The lowest level of these is ``plt.subplot()``, which creates a single subplot within a grid.\n", "As you can see, this command takes three integer arguments—the number of rows, the number of columns, and the index of the plot to be created in this scheme, which runs from the upper left to the bottom right:" ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i in range(1, 7):\n", " plt.subplot(2, 3, i)\n", " plt.text(0.5, 0.5, str((2, 3, i)),\n", " fontsize=18, ha='center')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "The command ``plt.subplots_adjust`` can be used to adjust the spacing between these plots.\n", "The following code uses the equivalent object-oriented command, ``fig.add_subplot()``:" ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [ { "data": { "image/png": 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YteNg1spm19R4LbZs2YKVK1fKM0LqMMzacTBrZbNrajwAyMzMxPjx4+Hl5SXPCKnDMGvHwayVzeoPT8VDc3jeuXMHmZmZrWYUIWVg1o6DWSuLXVPj5eXlobKyEnFxcVi+fDny8/ORnJws32hJVszacTBrZbNrarwpU6bgxIkTOHToEFJTU+Hr64vExER5R0yyYdaOg1krm91T45FyMGvHwayVzaLz2H89A3tbl/F6e3vLdq4rdRxm7TiYtXJ1+StPiYjIOmzsREQKw8ZORKQwbOxERArDxk5EpDBs7ERECsPGTkSkMGzsREQKw8ZORKQwbOxERApj99R4eXl52L59O1QqFYYPH45NmzZBpeLvi+6KWTsOZq1cdk+Nt379euzYsQMHDhxATU0NvvrqK9kGS/Ji1o6DWSub3VPjZWZmwtPTE0DzLCxVVVUyDZXkxqwdB7NWNrunxmv5DueysjJkZ2cjLCxMhmFSR2DWjoNZK5tdU+O1qKiowCuvvIKkpCSTHxbq3pi142DWymLX1HgAoNfrsWTJErz++usIDQ2VZ5TUIZi142DWymbX1HgAsGXLFixYsAATJ06Ub5TUIZi142DWymbX1HihoaE4duwYrl27hsOHDwMAoqOjERMTI/vASXrM2nEwa2Wze2o8nU4n7YioUzFrx8GslYtXHBARKQwbOxGRwrCxExEpDBs7EZHCsLETESkMGzsRkcKwsRMRKQwbOxGRwrCxExEpjEWNPTk5GTExMdBqtfj+++9N1uXk5GDWrFmIiYnBrl27ZBkkdRxm7TiYtXLZPYPSxo0bsXPnTuzfvx/Z2dkoKCiQbbAkL2btOJi1stk1g1JxcTH69euHQYMGQaVSISwsDLm5ufKOmGTDrB0Hs1Y2u2ZQKi8vh5ubW5vrqPth1o6DWSubRd/u+LC2Zlppj8FgAADcunXL2l2RBVqOa8txlpK1WT88DuYtD7nyZtZdjz1Zm23s7c208ut1paWl8PDwMLl/y2/6uLg4qwdHlisvL8fQoUPtqmFv1i3jAJi33OzNm1l3H7Zkbbaxh4SEYOfOndBqta1mWvH29oZer8f169fh6emJrKwsbNu2zeT+fn5+yMjIgLu7O9RqtVWDI/MMBgPKy8vh5+dndy17swaYt9ykyptZd332ZN1DWPAabNu2bfj222+NM61cuXIFffv2RVRUFL755htj6JMmTUJ8fLz1j4C6DGbtOJi1clnU2ImIqPuQ/MpTKS56aK9GXl4eZs+eDa1WizVr1qCpqcmmOi1SUlIwb948m2qUlJQgNjYWs2bNwvr16x9Zw1ydjIwMxMTEIDY2ttX5xL/2008/ITIyEvv27Wu1rqMvKpHqAhcp8pYia3N1LM2bWdtWh89tCfMWEvr666/F0qVLhRBCFBQUiNmzZ5usf+6558TNmzeFwWAQsbGx4urVq1bXiIqKEiUlJUIIIVasWCHOnDlj01iEEOLq1asiJiZGzJ0716Yar732mjh16pQQQogNGzaIGzduWF2nurpahIeHi4aGBiGEEIsWLRIXLlxos05NTY2YO3euWLdunUhPT2+13pLjKxUpsrakjiV5S5G1JXUsyZtZy5u1JXWE4HNb0r/Ypbjoob0aAJCZmQlPT08AzefXVlVVWT2WFlu2bMHKlSttejxNTU04f/48IiIiAABJSUkYPHiw1XWcnZ3h7OyM+/fvo7GxEbW1tejXr1+bdVxcXLB37942z1Do6ItKpLrARYq8pcjaXB1L82bW8mZtSR2Az21JG7sUFz20VwOA8ZP7srIyZGdnIywszOqxAM0/ROPHj4eXl5dNj6eyshJ9+vTB5s2bERsbi5SUFJvq9OzZE8uWLUNkZCTCw8Mxbtw4DB8+vM06Tk5O6NWrV5vrOvqiEqkucJEibymyNlfH0ryZtbxZW1KHz22Zv91RSPC5bFs1Kioq8MorryApKcnkoFpa586dO8jMzMSiRYtsHosQAqWlpZg/fz727duHK1eu4MyZM1bX0ev1SEtLw2effYbTp0/j0qVL+OGHH6waV1cgRdaPqmNt3lJk/es6tubNrK2rw+e2NCRt7FJc9NBeDaD5YC1ZsgSvv/46QkNDbRpLXl4eKisrERcXh+XLlyM/Px/JyclW1ejfvz8GDx6MIUOGQK1WIzg4GFevXrV6LIWFhfDx8YGbmxtcXFwQGBgInU73yMdl6eN91PGVihRZm6sDWJa3FFmbq2Np3sxa3qzN1eFzu5mkjT0kJAQnT54EgHYvemhsbERWVhZCQkKsqgE0v3e2YMECTJw40eaxTJkyBSdOnMChQ4eQmpoKX19fJCYmWlXDyckJPj4+KCoqMq5/1Mus9up4eXmhsLAQdXV1AACdTodhw4a1+9jaYunxlYoUWZurA1iWtxRZm6tjad7MWt6szdXhc7uZ5OexS3HRw6NqhIaGIigoCP7+/sZto6OjERMTY/VYWly/fh1r1qxBenq61TWuXbuG1atXQwgBjUaDDRs2QKVq+3dle3UOHDiAzMxMqNVq+Pv7409/+lObNXQ6HbZu3YobN27AyckJAwcOREREBLy9vTvlohKpLnCRIm8psjZXx9K8mbW8WZsbTwtHfm7zAiUiIoXh1HhERArDxk5EpDBs7ERECsPGTkSkMGzsREQKw8ZORKQwbOxERArDxk5EpDBs7ERECsPGTkSkMGzsREQKw8ZORKQwbOxERArDxk5EpDBs7ERECsPGTkSkMGzsREQKw8ZORKQwbOxERApjUWP/6aefEBkZiX379rVal5OTg1mzZiEmJga7du2SfIDUsZi1Y2HeymS2sd+/fx9vv/02goOD21y/ceNG7Ny5E/v370d2djYKCgokHyR1DGbtWJi3cplt7C4uLti7dy88PDxarSsuLka/fv0waNAgqFQqhIWFITc3V5aBkvyYtWNh3spltrE7OTmhV69eba4rLy+Hm5ub8babmxvKy8ulGx11KGbtWJi3cjnJvYO6ujrodDq4u7tDrVbLvTuHYzAYUF5eDj8/v0c+STsS85ZXV8qbWcvLnqztauweHh64ffu28XZpaWmrl3U6nQ5xcXH27IYskJGRgcDAQNnqW5I1wLw7SlfIm1l3DFuytquxe3t7Q6/X4/r16/D09ERWVha2bdtmso27u7txcJ6envbsjtpw69YtxMXFGY+zXCzJGmDecutKeTNredmTtdnGrtPpsHXrVty4cQNOTk44efIkIiIi4O3tjaioKGzYsAFvvvkmAGDq1KkYPny4yf1bXqJ5enrC29vb6gGSZaR4KWxv1g+Pg3nLqyvkzaw7hi1Zm23sfn5+SE9Pf+T6oKAgHDx40OodU9fDrB0L81YuXnlKRKQwbOxERArDxk5EpDBs7ERECsPGTkSkMGzsREQKw8ZORKQwbOxERArDxk5EpDBs7ERECmPRl4AlJyfj0qVL6NGjBxITE/Hkk08a12VkZOD48eNQqVTw8/PD2rVrZRssyY9ZOw5mrVxm/2I/d+4crl27hoMHD2LTpk3YtGmTcZ1er8cHH3yAjIwM7N+/H4WFhbh48aKsAyb5MGvHwayVzWxjz83NRWRkJABg5MiRuHv3LvR6PQDA2dkZzs7OuH//PhobG1FbW4t+/frJO2KSDbN2HMxa2cw29tu3b6N///7G2w9PkdWzZ08sW7YMkZGRCA8Px7hx49r8KlfqHpi142DWymb1h6dCCOP/9Xo90tLS8Nlnn+H06dO4dOkSfvjhB0kHSJ2HWTsOZq0sZhv7r6fIKisrM87oUVhYCB8fH7i5ucHFxQWBgYHQ6XTyjZZkxawdB7NWNrONPSQkBCdPngQA5Ofnw8PDA66urgAALy8vFBYWoq6uDkDzjCzDhg2Tb7QkK2btOJi1spk93TEgIAC+vr7QarXo0aMHkpKSkJmZib59+yIqKgrx8fGYP38+1Go1/P39ZZ1gl+TFrB0Hs1Y2i85jT0hIMLk9evRo4/+1Wi20Wq20o6JOw6wdB7NWLl55SkSkMGzsREQKw8ZORKQwbOxERArDxk5EpDBs7ERECsPGTkSkMGzsREQKw8ZORKQwbOxERApj99R4JSUleOONN9DQ0IAxY8bgz3/+s2yDJfkxa8fBrJXLrqnxAGDLli1YvHgxDh8+DLVajZs3b0o+yNLSUoSFhWH9+vXGZTqdDvHx8QgICEBAQABefPFFHDt2zOZ9fPHFF5gzZw6CgoLw1FNPQavV4tSpU1IMH8eOHcOoUaOwevVq47JXX30Vzz//PKqrqyXZhxS6QtZA98s7IiICo0aNavPfxx9/DKDr5c2sbX9uV1ZWYu3atZgwYQLGjRuHmTNn4vPPPzeu37hxI0JDQ2U7ZhYRZrz//vvi0KFDxtuTJ08W1dXVQgghDAaDCAkJEY2NjY+8f3FxsdBoNKK4uNjcrtpkMBhEXFyciI6OFnV1dUIIIS5fvix8fX3F73//e/H555+L7OxssXLlSqHRaMTevXut3sexY8eERqMRCQkJ4uzZs+KLL74QcXFxQqPRiP/8z/+0adwtKioqxDPPPCM0Go1YtWqVcXllZaWYOHGiWLFihV317T2+D7M3aynG0x3zDg8PFy+//LL4/vvvW/2rqKgQQnS9vJm1bVnX1NSI559/XoSEhIhPPvlE5OTkiKVLl4rRo0eLnJwcIYQQ9fX1Yvr06WL27Nlmj2F77Dm+Zhv7unXrxOeff268HRsbK37++WchhBDl5eVi0qRJ4u233xZarVZs27ZN0sEJ8f+DaTloQgjx8ssvi8DAQHHv3j3jMoPBIKZOnSomTpxo9T7Cw8PFnDlzTJZVV1eLgIAAMW/ePJvG3SIhIUFER0eLZ5991qSxCyHE0aNHhUajEadPn7a5vpSN3d6spRhPd8w7PDy8VbZt6Up5M2vbsv7LX/4iNBqNuHTpknFZfX29mDZtmti5c6dx2blz54RGoxEfffSR1ftoYc/xtWtqPCEESktLMX/+fOzbtw9XrlzBmTNnJHs1YTAYsHv3bvj7+yM4ONi4PDY2Flu3bkXfvn2Ny1QqFTQaDUpLS9HU1GTxPurr6xEfH48//OEPJstdXV0xYsQIu15OnT17Fv/4xz+QmJiIHj16tFo/bdo0DB06FKmpqTbvQ04dmTXQ/fM2pyvnzawtc+zYMQQEBJh8HuHi4oLjx49j+fLlxmVBQUEYP3480tLS8ODBA6v3Yy+7psbr378/Bg8ejCFDhkCtViM4OBhXr16VbHDnz59HUVERXnjhBZPlYWFhiIiIaLV9y5ReKpXlv6969uyJuLg4jB8/3mR5Q0MDSkpKbJ7Et7a2FklJSZg+fbrJD+7D1Go1pk2bhvz8fPzyyy827UdKnZk10L3ztkRXyptZW5/1vXv38PPPP+Ppp5+2aPsZM2agvLwc586ds2o/UrBrajwnJyf4+PigqKjIuF7KJ0Z2djYAYMKECWa3PXjwIH788UfMmTPHrn0aDAb88ssveOONN1BfX4/XXnvNpjo7duyAXq/HqlWr2t2upem3PNbO1JlZA9077+LiYqxYsQKhoaF48sknMXPmTJw4caLVdl0lb2ZtfdY3btwAALi7uyM1NRXh4eHw8/PD5MmT2/xwt+WxdUbWdk+Nl5iYiNWrV0MIAY1G0+ZvW1vl5+ejb9++GDJkSLvbffHFF9i0aRMmTJiAefPm2by/zMxMrFmzBgDwu9/9Dn//+9/h5+dndZ38/Hx8+OGH2LhxI9zc3NrdtqV+fn6+9QOWWGdmDXTfvAGgoKAAS5cuxeLFi1FeXo6//e1vWLlyJVQqFaZMmWLcrqvkzaytz7qmpgYA8OGHH2Ls2LFITk5GQ0MDDhw4gFWrVqGmpgZxcXHG7T09PTFgwIDOmQjc5nf2LWTPBwAzZswQkZGR7W7z8ccfizFjxogFCxYIvV5v6zCFEEJUVVUJnU4nsrKyxMqVK4Wfn584cuSIVTUaGxvFjBkzxNy5c02Wt/cB27hx48TSpUttGrOUH55KwdHyFqL5zKeamhqTZffv3xfh4eEiLCys1fZKydvRsr5w4YLQaDRixowZwmAwGJcbDAYRHR0txo8f3+osmKlTp4rnn3/epjF36IenHUmv15t8iPJre/bswdq1a/Hcc89hz5496NOnj137e5PajwsAAAzISURBVOKJJ+Dr64tnn30W27dvx+TJk7FhwwbcvXvX4hoffvghrl69itWrV6Ompsb4TwiBxsZG1NTUoLGx0eQ+ffv27TLnN3em7pg3ALi5uaF3794myx577DGEhoaipKQE5eXlJuuYd/fMesCAAQAAf39/k/f6VSoV/umf/gl37txBSUmJyX06K+su3dhdXV0feVAOHTqElJQULF68GO+++y5cXFxs2kdZWRk+/vhjFBQUtFrn6+uL+vp643uNlsjKysKDBw8wc+ZM4wUWAQEBuHnzJv7xj38gICAAx48fN7lPdXV1uz/kjqI75g00v3drMBhaLa+rqwPQ/CHew5h398zay8sLjz/+OCorK1uta8nf2dnZZHlnZd2lG3v//v1RVVXVarlOp8Nbb72F2NhYrFq1qs1TCS314MEDrFu3Dmlpaa3WXbhwAQAwaNAgi+utW7cOGRkZrf65u7tj4sSJyMjIQFhYmHH7uro61NbWmn0v3hF0x7zz8vIwduxYHDhwwGS5Xq9HTk4ORo0ahccff9y4nHk3645Zt3xecubMGZPm3tjYiOzsbAwePBgDBw40uU9VVRX69+9v4yOwnUXfFdNZfH19cfbsWRQXF8PHx8e4fPPmzXjssccQHR2Ny5cvt7rf8OHD4erqinPnzmHhwoVISkpCTExMm/vw9vbG9OnT8cknn8DV1RWRkZEAgFOnTuHkyZOYOXMmPDw8ADSfw5qYmIg9e/YgNDS0zXqjRo1qc7mLiwsGDBiAwMBAk+UtH6KNGTPGzNFQvu6Yd2BgIMaNG4d3330XNTU1eOqpp1BRUYG//vWvqKysxObNm022Z97NumPWAPCv//qv+O///m8sWLAAb7zxBtRqNf7jP/4DRUVF2Lp1q8m2paWlqKiowL/8y79YfXzs1aUbe0hICNLS0pCTk2MS3rfffgsAJp9AP+yjjz7CM888AyFEmy+Rfy05ORmjR4/G0aNHceTIEbi4uMDHxwcJCQlYuHChcbumpiaL6lkjNzcXQPNjdXTdMW8nJyfs3bsXe/bswf79+/Fv//Zv6N27N8aNG4f09PRW5zwz72bdMWug+S/8/fv3Y9u2bfjjH/+IBw8eYPTo0di1a5fxF0eLnJwc42PtcDZ9XGsFez7ZbWxsFFFRUUKr1dq8/6SkJPHpp5/afP9fe+mll8SFCxckqdXY2CgmTZokZsyYYXONrnSWhBDMuz1Ky5tZt2/+/PkiJCRE1NfX23R/xZ4Vo1arsWzZMnz33Xf4+uuvrb6/EALnzp3D6NGjJRlPbW0trly5gt/+9reS1Pv0009RVFRkcimyI2PejkPpWZ8/fx55eXl4+eWXbf7w1x5durEDzd+vERQUhOTkZNTX11t134qKCsTExGDkyJGSjKWkpAQJCQnGK/TscffuXbz33nuYPHmy5Bd/dGfM23EoNesHDx5g06ZNeOqpp+y+WtZWXb6xq1QqpKSk4M6dO62+M9qc3/zmN1iwYIFkYxkxYgRmzJghSa01a9agd+/eVj8mpWPejkOpWb/zzjsoKyvDe++9B7VaLUlNa9k9g1KLlJQUXLx4Eenp6ZIPcuDAgfjyyy8lr9uZdu/e3dlDaFNnZw0w747CrOWxbt06rFu3rlPHYPcMSkDz92R88803sgyQOg6zdhzMWtnMNvbc3FzjaTwjR47E3bt3odfrTbbZsmULVq5cKc8IqcMwa8fBrJXNbGO/ffu2yZVTbm5uJt99kZmZifHjx8PLy0ueEVKHYdaOg1krm10zKN25cweZmZlYtGiRpIOiroFZOw5mrSx2zaCUl5eHyspKxMXFYfny5cjPz0dycrJ8oyVZMWvHwayVza4ZlKZMmYITJ07g0KFDSE1Nha+vLxITE+UdMcmGWTsOZq1sds+gRMrBrB0Hs1Y2i85jT0hIMLnd1mW83t7esp3rSh2HWTsOZq1cXf7KUyIisg4bOxGRwrCxExEpDBs7EZHCsLETESkMGzsRkcKwsRMRKQwbOxGRwrCxExEpDBs7EZHC2D01Xl5eHrZv3w6VSoXhw4dj06ZNUKn4+6K7YtaOg1krl91T461fvx47duzAgQMHUFNTg6+++kq2wZK8mLXjYNbKZvfUeJmZmfD09ATQPAtLVVWVTEMluTFrx8Gslc3uqfFavsO5rKwM2dnZCAsLk2GY1BGYteNg1spm19R4LSoqKvDKK68gKSnJ5IeFujdm7TiYtbLYNTUeAOj1eixZsgSvv/46QkND5RkldQhm7TiYtbLZNTUeAGzZsgULFizAxIkT5RsldQhm7TiYtbLZNTVeaGgojh07hmvXruHw4cMAgOjoaMTExMg+cJIes3YczFrZ7J4aT6fTSTsi6lTM2nEwa+XiFQdERArDxk5EpDBs7ERECsPGTkSkMGzsREQKw8ZORKQwbOxERArDxk5EpDBs7ERECmNRY09OTkZMTAy0Wi2+//57k3U5OTmYNWsWYmJisGvXLlkGSR2HWTsOZq1cds+gtHHjRuzcuRP79+9HdnY2CgoKZBssyYtZOw5mrWx2zaBUXFyMfv36YdCgQVCpVAgLC0Nubq68IybZMGvHwayVza4ZlMrLy+Hm5tbmOup+mLXjYNbKZtG3Oz6srZlW2mMwGAAAt27dsnZXZIGW49pynKVkbdYPj4N5y0OuvJl112NP1mYbe3szrfx6XWlpKTw8PEzu3/KbPi4uzurBkeXKy8sxdOhQu2rYm3XLOADmLTd782bW3YctWZtt7CEhIdi5cye0Wm2rmVa8vb2h1+tx/fp1eHp6IisrC9u2bTO5v5+fHzIyMuDu7g61Wm3V4Mg8g8GA8vJy+Pn52V3L3qwB5i03qfJm1l2fPVn3EBa8Btu2bRu+/fZb40wrV65cQd++fREVFYVvvvnGGPqkSZMQHx9v/SOgLoNZOw5mrVwWNXYiIuo+JL/yVIqLHtqrkZeXh9mzZ0Or1WLNmjVoamqyqU6LlJQUzJs3z6YaJSUliI2NxaxZs7B+/fpH1jBXJyMjAzExMYiNjW11PvGv/fTTT4iMjMS+fftarevoi0qkusBFirylyNpcHUvzZta21eFzW8K8hYS+/vprsXTpUiGEEAUFBWL27Nkm65977jlx8+ZNYTAYRGxsrLh69arVNaKiokRJSYkQQogVK1aIM2fO2DQWIYS4evWqiImJEXPnzrWpxmuvvSZOnTolhBBiw4YN4saNG1bXqa6uFuHh4aKhoUEIIcSiRYvEhQsX2qxTU1Mj5s6dK9atWyfS09Nbrbfk+EpFiqwtqWNJ3lJkbUkdS/Jm1vJmbUkdIfjclvQvdikuemivBgBkZmbC09MTQPP5tVVVVVaPpcWWLVuwcuVKmx5PU1MTzp8/j4iICABAUlISBg8ebHUdZ2dnODs74/79+2hsbERtbS369evXZh0XFxfs3bu3zTMUOvqiEqkucJEibymyNlfH0ryZtbxZW1IH4HNb0sYuxUUP7dUAYPzkvqysDNnZ2QgLC7N6LEDzD9H48ePh5eVl0+OprKxEnz59sHnzZsTGxiIlJcWmOj179sSyZcsQGRmJ8PBwjBs3DsOHD2+zjpOTE3r16tXmuo6+qESqC1ykyFuKrM3VsTRvZi1v1pbU4XNb5m93FBJ8LttWjYqKCrzyyitISkoyOaiW1rlz5w4yMzOxaNEim8cihEBpaSnmz5+Pffv24cqVKzhz5ozVdfR6PdLS0vDZZ5/h9OnTuHTpEn744QerxtUVSJH1o+pYm7cUWf+6jq15M2vr6vC5LQ1JG7sUFz20VwNoPlhLlizB66+/jtDQUJvGkpeXh8rKSsTFxWH58uXIz89HcnKyVTX69++PwYMHY8iQIVCr1QgODsbVq1etHkthYSF8fHzg5uYGFxcXBAYGQqfTPfJxWfp4H3V8pSJF1ubqAJblLUXW5upYmjezljdrc3X43G4maWMPCQnByZMnAaDdix4aGxuRlZWFkJAQq2oAze+dLViwABMnTrR5LFOmTMGJEydw6NAhpKamwtfXF4mJiVbVcHJygo+PD4qKiozrH/Uyq706Xl5eKCwsRF1dHQBAp9Nh2LBh7T62tlh6fKUiRdbm6gCW5S1F1ubqWJo3s5Y3a3N1+NxuJvl57FJc9PCoGqGhoQgKCoK/v79x2+joaMTExFg9lhbXr1/HmjVrkJ6ebnWNa9euYfXq1RBCQKPRYMOGDVCp2v5d2V6dAwcOIDMzE2q1Gv7+/vjTn/7UZg2dToetW7fixo0bcHJywsCBAxEREQFvb+9OuahEqgtcpMhbiqzN1bE0b2Ytb9bmxtPCkZ/bvECJiEhhODUeEZHCsLETESkMGzsRkcKwsRMRKQwbOxGRwrCxExEpDBs7EZHCsLETESnM/wNfpXPG0+L3lwAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "fig.subplots_adjust(hspace=0.4, wspace=0.4)\n", "for i in range(1, 7):\n", " ax = fig.add_subplot(2, 3, i)\n", " ax.text(0.5, 0.5, str((2, 3, i)),\n", " fontsize=18, ha='center')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We've used the ``hspace`` and ``wspace`` arguments of ``plt.subplots_adjust``, which specify the spacing along the height and width of the figure, in units of the subplot size (in this case, the space is 40% of the subplot width and height)." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## ``plt.subplots``: The Whole Grid in One Go\n", "\n", "The approach just described can become quite tedious when creating a large grid of subplots, especially if you'd like to hide the x- and y-axis labels on the inner plots.\n", "For this purpose, ``plt.subplots()`` is the easier tool to use (note the ``s`` at the end of ``subplots``). Rather than creating a single subplot, this function creates a full grid of subplots in a single line, returning them in a NumPy array.\n", "The arguments are the number of rows and number of columns, along with optional keywords ``sharex`` and ``sharey``, which allow you to specify the relationships between different axes.\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "\n", "Here we'll create a $2 \\times 3$ grid of subplots, where all axes in the same row share their y-axis scale, and all axes in the same column share their x-axis scale:" ] }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(2, 3, sharex='col', sharey='row')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Note that by specifying ``sharex`` and ``sharey``, we've automatically removed inner labels on the grid to make the plot cleaner.\n", "The resulting grid of axes instances is returned within a NumPy array, allowing for convenient specification of the desired axes using standard array indexing notation:" ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 80, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# axes are in a two-dimensional array, indexed by [row, col]\n", "for i in range(2):\n", " for j in range(3):\n", " ax[i, j].text(0.5, 0.5, str((i, j)),\n", " fontsize=18, ha='center')\n", "fig" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## ``plt.GridSpec``: More Complicated Arrangements\n", "\n", "To go beyond a regular grid to subplots that span multiple rows and columns, ``plt.GridSpec()`` is the best tool.\n", "The ``plt.GridSpec()`` object does not create a plot by itself; it is simply a convenient interface that is recognized by the ``plt.subplot()`` command.\n", "For example, a gridspec for a grid of two rows and three columns with some specified width and height space looks like this:" ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [], "source": [ "grid = plt.GridSpec(2, 3, wspace=0.4, hspace=0.3)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "From this we can specify subplot locations and extents using the familiary Python slicing syntax:" ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.subplot(grid[0, 0])\n", "plt.subplot(grid[0, 1:])\n", "plt.subplot(grid[1, :2])\n", "plt.subplot(grid[1, 2]);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "This type of flexible grid alignment has a wide range of uses.\n", "I most often use it when creating multi-axes histogram plots like the ones shown here:" ] }, { "cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create some normally distributed data\n", "mean = [0, 0]\n", "cov = [[1, 1], [1, 2]]\n", "x, y = np.random.multivariate_normal(mean, cov, 3000).T\n", "# Set up the axes with gridspec\n", "fig = plt.figure(figsize=(6, 6))\n", "grid = plt.GridSpec(4, 4, hspace=0.2, wspace=0.2)\n", "main_ax = fig.add_subplot(grid[:-1, 1:])\n", "y_hist = fig.add_subplot(grid[:-1, 0], xticklabels=[], sharey=main_ax)\n", "x_hist = fig.add_subplot(grid[-1, 1:], yticklabels=[], sharex=main_ax)\n", "# scatter points on the main axes\n", "main_ax.plot(x, y, 'ok', markersize=3, alpha=0.2)\n", "# histogram on the attached axes\n", "x_hist.hist(x, 40, histtype='stepfilled', orientation='vertical', color='gray')\n", "x_hist.invert_yaxis()\n", "y_hist.hist(y, 40, histtype='stepfilled', orientation='horizontal', color='gray')\n", "y_hist.invert_xaxis()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Text and Annotation\n", "\n", "Creating a good visualization involves guiding the reader so that the figure tells a story.\n", "In some cases, this story can be told in an entirely visual manner, without the need for added text, but in others, small textual cues and labels are necessary.\n", "Perhaps the most basic types of annotations you will use are axes labels and titles, but the options go beyond this.\n", "Let's take a look at some data and how we might visualize and annotate it to help convey interesting information. We'll start by setting up the notebook for plotting and importing the functions we will use:" ] }, { "cell_type": "code", "execution_count": 86, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import matplotlib as mpl\n", "plt.style.use('seaborn-whitegrid')\n", "import numpy as np\n", "import pandas as pd" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Example: Effect of Holidays on US Births\n", "\n", "Let's return to some data we worked with earler, in [\"Example: Birthrate Data\"](03.09-Pivot-Tables.ipynb#Example:-Birthrate-Data), where we generated a plot of average births over the course of the calendar year; as already mentioned, that this data can be downloaded at https://raw.githubusercontent.com/jakevdp/data-CDCbirths/master/births.csv.\n", "\n", "We'll start with the same cleaning procedure we used there, and plot the results:" ] }, { "cell_type": "code", "execution_count": 92, "metadata": {}, "outputs": [], "source": [ "from datetime import datetime\n", "births = pd.read_csv('data/births.csv')\n", "\n", "quartiles = np.percentile(births['births'], [25, 50, 75])\n", "mu, sig = quartiles[1], 0.74 * (quartiles[2] - quartiles[0])\n", "births = births.query('(births > @mu - 5 * @sig) & (births < @mu + 5 * @sig)')\n", "births['day'] = births['day'].astype(int)\n", "births.index = pd.to_datetime(10000 * births.year + 100 * births.month + births.day, format='%Y%m%d')\n", "births_by_date = births.pivot_table('births', [births.index.month, births.index.day])\n", "births_by_date.index = [datetime(2012, month, day) for (month, day) in births_by_date.index]" ] }, { "cell_type": "code", "execution_count": 93, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12, 4))\n", "births_by_date.plot(ax=ax);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "When we're communicating data like this, it is often useful to annotate certain features of the plot to draw the reader's attention.\n", "This can be done manually with the ``plt.text``/``ax.text`` command, which will place text at a particular x/y value:" ] }, { "cell_type": "code", "execution_count": 94, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12, 4))\n", "births_by_date.plot(ax=ax)\n", "\n", "# Add labels to the plot\n", "style = dict(size=10, color='gray')\n", "\n", "ax.text('2012-1-1', 3950, \"New Year's Day\", **style)\n", "ax.text('2012-7-4', 4250, \"Independence Day\", ha='center', **style)\n", "ax.text('2012-9-4', 4850, \"Labor Day\", ha='center', **style)\n", "ax.text('2012-10-31', 4600, \"Halloween\", ha='right', **style)\n", "ax.text('2012-11-25', 4450, \"Thanksgiving\", ha='center', **style)\n", "ax.text('2012-12-25', 3850, \"Christmas \", ha='right', **style)\n", "\n", "# Label the axes\n", "ax.set(title='USA births by day of year (1969-1988)', ylabel='average daily births')\n", "\n", "# Format the x axis with centered month labels\n", "ax.xaxis.set_major_locator(mpl.dates.MonthLocator())\n", "ax.xaxis.set_minor_locator(mpl.dates.MonthLocator(bymonthday=15))\n", "ax.xaxis.set_major_formatter(plt.NullFormatter())\n", "ax.xaxis.set_minor_formatter(mpl.dates.DateFormatter('%h'));" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "The ``ax.text`` method takes an x position, a y position, a string, and then optional keywords specifying the color, size, style, alignment, and other properties of the text.\n", "Here we used ``ha='right'`` and ``ha='center'``, where ``ha`` is short for *horizonal alignment*.\n", "See the docstring of ``plt.text()`` and of ``mpl.text.Text()`` for more information on available options." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Transforms and Text Position\n", "\n", "In the previous example, we have anchored our text annotations to data locations. Sometimes it's preferable to anchor the text to a position on the axes or figure, independent of the data. In Matplotlib, this is done by modifying the *transform*.\n", "\n", "Any graphics display framework needs some scheme for translating between coordinate systems.\n", "For example, a data point at $(x, y) = (1, 1)$ needs to somehow be represented at a certain location on the figure, which in turn needs to be represented in pixels on the screen.\n", "Mathematically, such coordinate transformations are relatively straightforward, and Matplotlib has a well-developed set of tools that it uses internally to perform them (these tools can be explored in the ``matplotlib.transforms`` submodule).\n", "\n", "The average user rarely needs to worry about the details of these transforms, but it is helpful knowledge to have when considering the placement of text on a figure. There are three pre-defined transforms that can be useful in this situation:\n", "\n", "- ``ax.transData``: Transform associated with data coordinates\n", "- ``ax.transAxes``: Transform associated with the axes (in units of axes dimensions)\n", "- ``fig.transFigure``: Transform associated with the figure (in units of figure dimensions)\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Here let's look at an example of drawing text at various locations using these transforms:" ] }, { "cell_type": "code", "execution_count": 95, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(facecolor='lightgray')\n", "ax.axis([0, 10, 0, 10])\n", "\n", "# transform=ax.transData is the default, but we'll specify it anyway\n", "ax.text(1, 5, \". Data: (1, 5)\", transform=ax.transData)\n", "ax.text(0.5, 0.1, \". Axes: (0.5, 0.1)\", transform=ax.transAxes)\n", "ax.text(0.2, 0.2, \". Figure: (0.2, 0.2)\", transform=fig.transFigure);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Note that by default, the text is aligned above and to the left of the specified coordinates: here the \".\" at the beginning of each string will approximately mark the given coordinate location.\n", "\n", "The ``transData`` coordinates give the usual data coordinates associated with the x- and y-axis labels.\n", "The ``transAxes`` coordinates give the location from the bottom-left corner of the axes (here the white box), as a fraction of the axes size.\n", "The ``transFigure`` coordinates are similar, but specify the position from the bottom-left of the figure (here the gray box), as a fraction of the figure size.\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "\n", "Notice now that if we change the axes limits, it is only the ``transData`` coordinates that will be affected, while the others remain stationary:" ] }, { "cell_type": "code", "execution_count": 96, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 96, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ax.set_xlim(0, 2)\n", "ax.set_ylim(-6, 6)\n", "fig" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This behavior can be seen more clearly by changing the axes limits interactively: if you are executing this code in a notebook, you can make that happen by changing ``%matplotlib inline`` to ``%matplotlib notebook`` and using each plot's menu to interact with the plot." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Arrows and Annotation\n", "\n", "Along with tick marks and text, another useful annotation mark is the simple arrow.\n", "\n", "Drawing arrows in Matplotlib is often much harder than you'd bargain for.\n", "While there is a ``plt.arrow()`` function available, I wouldn't suggest using it: the arrows it creates are SVG objects that will be subject to the varying aspect ratio of your plots, and the result is rarely what the user intended.\n", "Instead, I'd suggest using the ``plt.annotate()`` function.\n", "This function creates some text and an arrow, and the arrows can be very flexibly specified." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Here we'll use ``annotate`` with several of its options:" ] }, { "cell_type": "code", "execution_count": 97, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "\n", "fig, ax = plt.subplots()\n", "\n", "x = np.linspace(0, 20, 1000)\n", "ax.plot(x, np.cos(x))\n", "ax.axis('equal')\n", "\n", "ax.annotate('local maximum', xy=(6.28, 1), xytext=(10, 4),\n", " arrowprops=dict(facecolor='black', shrink=0.05))\n", "\n", "ax.annotate('local minimum', xy=(5 * np.pi, -1), xytext=(2, -6),\n", " arrowprops=dict(arrowstyle=\"->\",\n", " connectionstyle=\"angle3,angleA=0,angleB=-90\"));" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "The arrow style is controlled through the ``arrowprops`` dictionary, which has numerous options available.\n", "These options are fairly well-documented in Matplotlib's online documentation, so rather than repeating them here it is probably more useful to quickly show some of the possibilities.\n", "Let's demonstrate several of the possible options using the birthrate plot from before:" ] }, { "cell_type": "code", "execution_count": 98, "metadata": {}, "outputs": [ { "data": { "image/png": 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Axx57jN69e7t+9t1336G1PsclSk9EZ1Q0GAwGg8GQv3FEdfv2cNVVMHIkFHJRD5YFEyaIsHa47z7o3x8ee0yEtsGQGV577TVmzpxJVFQUL7/8MuPHj6d69eoMHjyYdu3acfPNNzNlyhS6devGDz/8wMyZMzlw4AClS5cG4Pnnn2fevHkULlyYt956izp16rBkyRJeeeUVUlJSsCyLIUOG0Llz5xwpr4lUGwwGg8FgCMiiRdCyJVxyifxNneq+3sqV8r9JE++yFi1EgC9ZEvlyGgoWO3fupEGDBkyfPp1Bgwbx/PPPZ1hn9+7dTJ8+nQcffJBGjRrx+OOPc8cddwBiB7n55pv59ddfadGiBWPsLpPXXnuNoUOH8vPPP/Phhx/y+++/51iZjag2GAwGg8HgyoEDsHMnXHqpvH/ggcCDDz/8EHr1Sh+RjooSf/X48ZEvqyF7NGggv1dO/FWtGp9hWYMGmStPkSJFzkaQO3fuzPr160lJSUm3Ttu2bQNuX6tWLRrYB61Xrx67d+8GoFy5ckyePJlNmzZx0UUXMXLkyMwVLAhGVBsMBoPBcB7x7rti4QiHJUvg8su9do9bb5WBi+vXy//77pP81QsXSgT78ccz7qNHDxHVaWk5VwdDzpOUJBaenPjbudOTYVlSUubKU6ZMGaKjRaaWKFECgCN+ydIdm4cbzjYAMTExpKamAvDyyy8TFxfHHXfcwbXXXsu0adMyV7AgGFFtMBgMBsN5xPz5oQccOsybJ35qh9hYuPtuEc8dO8Lff8M118iyt96CMmUy7uPSS6F0abGR7N4Na9bkTD0MBZvDhw+ffe2I6WAiOlzKly/P8OHDmTNnDs888wxDhw7l2LFj2d4vGFFtMBgMBsN5hdawapUI4lBMmwadOqVfdt99MHu2TAbz009i72jcGG67LfB+brtN8lY3bAiDBmWv/Ibzg5MnT/Lbb78BMH36dBo2bEhsbGzA9QsVKkRycnLQfZ4+fZr+/fuzZ88eAC699FIKFSp0NiKeXUz2D4PBYDAYzhMsCzZuhO7dxa4xeHDgdXftgk2b4Mor0y+Pj4f9+yVqDTB0aOjj9ukjMy3+739w001iGSlVKuv1MBR8Lr74YlasWMHIkSOJjo7m1Vdf5auvvgq4focOHXjjjTfYvn07SinXdQoXLsytt956Nod1dHQ0Tz/9NHFxcTlS5igr1PRI2UAp1RaYAKy1F60BXgdGA4WB00A/rfUupVRf4GEgDfhEa/25UqowMAaoAaQCd2itN/sfJzEx0WrWrBkej4f4+PiI1Se3KWj1K2j1caMg17Eg182hINexINcNCn79IGt13LFDPNLvvQeffSaR6ECMGSOR6AkTsldOf9q2hSefhOuuS7/csmSimAoVzO+X3ynIdUtMTKRZs2auCSLPhf1jtta6rf33EPAiIprbAJOAR5VSxYFngA5AW+ARpVRZoA9wSGt9NfAS8Mo5KK/BYDAYDAUSrUEpsXQsWADBest//hm6dMn5MrRpI/YRX77/Hpo1g8qVxXdtMORHcsNTPRj4zn69FygHtACWaq0Pa61PAPOBq4D2iPAG+N1eZjAYDAaDIQts2AB16kDJkjIAMVCK3tOn4bffIIfmxEjHNdfAnDnpj3XnnfDCCyLiZ83K+WMaDOeCcyGq6yulflRKzVNKddRaH9NapyqlYoAHgK+AyojAdtgDVPFdrrVOAyylVGCXusFgMBgMhoA4kWqAhIT04taXRYvg4oslcpzTtGolAyWPH5f38+ZB7drQtSt06AAzZ+b8MQ2Gc0GkBypuBEYA44GLgT+UUpcg/uixwEyt9QylVB+/7QJNZhpwklOPx0NycjIejycHip03KWj1K2j1caMg17Eg182hINexINcNCn79IGt1XLOmLE2aHMPjSaFu3Vi++aYUHs++DOvNn1+MunUL4/EcdtlL9qlXrzxTphyhdetTfPNNKa65Jg2P5ygNGhTi7bfL8uij5vfLzxTkugUjoqJaa70T+NZ+u0kptQuoigjtjVrrEfZnHiQq7VAVWOSzfJU9aDFKa33K7Vjx8fEF2hgPBc/4X9Dq40ZBrmNBrptDQa5jQa4bFPz6QdbquHUrXHllUeLjxdrRrx+UKhWPzzwZgHitlYL4+OI5V2Afrr0W5swpT8+e4q8eNw7i40tRuTIcPQpHjpRBqUoROXZeoSCfowW5bv/880/AzyJq/1BK9VVK/Z/9ujJQCbgGOKW1ftZn1cXAFUqpMkqpEoh3ei7wK9DDXqcb8Ecky2swGAwGgxtr1kh2ivxMSopMOV6zprwvUgSaNhWrhz/bt8OFF0auLI88ApMmwRdfwKFDUg6A6Gixpcyfb5yehvxHpD3VPwJtlFJzgR+A+4F7gaZKqVn23wf24MQngenIgMQRWuvDSJQ7Rik1D/Ffh5EN02AwGAyGnCMtDa6+GlavPjfHihSbNkGNGlC4sHfZ1VfD3LkZ1420qC5fHj76SCaC6dJFxLRDu3Ywf36RyB3cYMgkp0/DM8+EXi/S9o9kJMLsy88B1p0ITPRblgrcEZnSGQwGgyFcjh+HYsVyuxS5w19/yWQlGzbIzIGRYuVKGDgQVqyAqIAjiLKOk/nDl9at4Y03JAq/bRtcdJEsj7SoBpmA5sknM2YYSUiAF14wkWpD3mHBAnjxRXjuueDrmWnKDQaDwRCQX36RaOaFF0Y2ippVTp+GM2eyv58zZwJHopctk/8bN4a/v6NHYeHCzFlGpk+XrBhLloS/TWb45x+oWjX9slatYOlSyVtdq5Y0HixLJomJtKgGeOklOb98qVMHUlKiwppG3WA4F/zyi1wXJ04EX8+IaoPBYDAEpFcveOABiIuTSGZeIiVFch6//HL29/Xrr9Czp/tniYkiODdsCG9fTz4J1arBrbdK/uWUlPC2mzULmjSBb74Jb/3Msns3VPIb+1emDNx4o0SLGzWCdetg714oUSL3eiaiouCKK04xf37uHN9g8OeXX+T/0aPB1zOi2mAwGAyunDgBJ0+KsG7YUAbrhcvff8MHH2TueJYFp1zzO7mvO3gwHDsGP/yQueO4sWSJlNktsrxsGfTuHV6k+uRJ+M9/YP16EeGHDsm2oThzRrqY33sPvv0WUlMzX4dQ7NkDFStmXD52rAwcbNwYkpLOjfUjFEZUG/IKHo9cE9WrG1FtMBgMhiziiLCoqMyL6jfegMceE9EbLu++CwMGhLfu5MmStWLOHNi8WawN2WHJEvGNHziQfnlamnice/UKL1K9Zo3YF6pUgeLFJVXcr7+GfhgvXy4P7auukmiy2+DB7BJIVDtcemneEtXz5uVuGQwGgGnToGNH6dUxotpgMBgMWcJXhDVsKIIrHA4fhv/9T/IcT58e/vEmTBCxfORI6HV/+QXuu08edNdeCz+7DoEPD8sSX3GFCmTw8W7YIJkq6teXKPShQ8H3tWwZNGvmfV+smKSLW7Ag+HazZ0PbtvK6d28YMyaztQhNKFHdoAGsXZs3RHXDhqf56y85lwyG3GTaNLFHlShhRLXBYDAYssiePV4PbmYi1f/9rwx8u/de+P778LbZu1cGCl5zDfz4Y+j1583zDnDr2jVrotoZeLltm6SZa9Eio6hetgwuv1yi9bVrh7aAOOv70rat+KWDMXs2tGkjr+++Wx7ky5eHW5PwcPNU++JEqv/+O/dFdWysNE7ccmgbDOcKy4I//oAOHURUJycHX9+IaoPBYDC4snu3N7JZt67kOQ7leU5LExvHww/DDTeI2A3HJ/3TT9LFOmCAeIqDsX+/TGLSsKG8v+46mDEjfD/2Cy9IFL1ECRFtS5ZA8+Ziv/AX1YmJ3shz7drpLSCJiRltGomJGUV1QoI8mAORmiqNhGuukfcXXCBZMR58MGczroSKVF94odh1Vq3KfVEN0mgyvmpDbrJjB8TEyMBjE6k2GAwGQ5bxjVQXLSo5jP/8M/g2Ho8McGzRAuLjRbyGitKCRKe7d5e/OXPg4MHA6y5YIPsvZM+0ULGiHCccD+7XX8vAvPHjYdQoGDZMrB9XXJFRVO/bJ+u1by/vnUj16dOS4aNNG/j3v73rnzghortRo/THbNlSovyBHshai/XEV/DecYcMXvz669B1CodTp+T4ZcoEXicqSqLVc+bkDVGdkCCNLYMht1i+3DvbpxHVBoPBYMgyvpFqCM8CsmcPVK7sfX/TTTIddTBOnpRIc9euUKqUdLVOnhx4fV/rh8O118Lvvwc/zl9/wZAhEglv3FjS3e3YIf5lf1FtWXDXXdCnjzfyXKeOiOrhw2HxYvEfr1nj7RJetUoi+kX8JgOMi5Nod6Co69KlGaPb0dEy0cS77wavU7js2SPCPTrEU79BA0kBmFdE9YED3jzhBsO5xohqg8FgMOQI/naBcEW17zY33SQCOZiN4bvvRFSWKyfvu3YNPsDRTVR36BBcVKemwu23w9NPw2WXybLCheH55yUiffnl6UX12LHitX7xRe8+ateWco0bJxHsGjVkO0csu/mpHRISpOHgRqDtOnUSm0tmsq4EwrfXIRgNGkjE2n+SmNwgJgbuuUemMzcYcgMjqg0Gg8GQI/gLsYYNZSrtUNv4iuratSV7RqABZ6mpIlyffNK7rEMHmDnTXYifOCFlaNEi/fKWLcWaEsg28v77ItIeeij98ttuk5R3ZcumF9XjxsGzz6aPOtepI9kovvhCor4ggxAdv/SSJYFFde/eMHq0iGR/AonqmBixgXz2mfs+M0MoP7XDpZfKbx6bR2YJHzRIGl2hsq4YDJHAiGqDwWAw5Aj+9o+EBBGObsLQYe/ejOItmAVk/HgZmNehg3dZ9epQurR7Cr/ly6FePckB7UuRInDlleLfPnAAnn221NmJXLZulYj0Z59ltD9ER8sASZDc0vv2SUq/hQulvr6UKyd2EcdjDd5BiNu2if+3Wzf3eiolk9UMGZJ++enTkvXEeXD7M2iQpCc8edL983Dx/y0DceWV4jXPK1SqJBH7ceNyuySG841du6QRX6OGvDei2mAwGAxZxj9SXbo09O0bfKZEt4ioI6r9ZytMS5NMHM89J5YDX9q3d7dzLFmSMUrt4FhAHn0UPvusxNn0d2PGQP/+EmkORqFCIqzHjxcbROnSGdfxt1C0aCFTez/8sEznXqVK4P0PHSo+7KlTvcvWrZOHdsmS7ttcdJEI7gkTgpc9FOFGqosVC28GyHPJLbdkLt+5wZATrFgh155zbypZ0ohqg8FgMGSB1FRJXVe+fPrlDz0En34qERw3nAFxvjRpIvvz9wZv2iQp3JxIsS8dOrh7kJ1MHW506CARzVmzoHPnE2ezjsyYIWn3wqF6dcmz7Rs5D0bRopKOb/58ePzx0Os+8YTYRxzcBin68+CDMvW5Zcnf2rXhlc2XcD3VeREntZ6/HWjLltwpj+H8YMUK7/gLMJFqg8FgMGSRAwckUlu4cPrldeqIqP3qK/ft3CKiUVHuFpCkJPFp+0epQWwV8+aJPcKXYKK6USOxaHz8MbRvn8KsWSLaV6zIOLAxENWri/UjXFENMrPjhx8Gjjb70rmzRNPPnJH3wQY3OnTtKl7xhQul0dCwoWToyAzhRqrzIlWqiOfdtzExezZcfLHMrGkwRAIjqg0Gg8GQIwQTYc7gscxs5yaq166VgXFulCsngxyHDROfM4iw3L1b0ta5ER0tKe86dYJWrVKYPVsmZ2nWLKMHOxDVq4sFomXL8NYHGex4yy3hrVu5MtSsKQLZsuR/KFHtDLAcNkysLSVLSj7wzBCupzqv0rq1Nw/5yZMy6+SDD8pfoF4TgyE7eDzpU0uGI6oLRbJASqm2wATAaV+uAV4HxgIxwD9Af611ilKqL/AwkAZ8orX+XClVGBgD1ABSgTu01psjWWaDwWAo6KSlZfQ3+xNMhLVpI8L69OmMkWy3gYogA+D++Qc2b5YII4io7tIlcBm+/RZeeUUG+S1cKIMBL7tMRGYgnM9q1EglOlrSsfkOLAzFRRdJ/fxzTecknTtLhPXkSflr3jz0NnfcIfmxR4wQf/XOnd7vMRzyc6QaRFT//jvcf78MOm3USHJ479kjs0/6pj40GHICf/tbXpmmfLbWuq399xDwPPC+1ro18BcwSClVHHgG6Pt62PIAACAASURBVAC0BR5RSpUF+gCHtNZXAy8Br5yD8hoMBkOB5eRJiZReeGEVGjQIvF4wD2758jK4bvny9Msty91TDSJ2b7ghfbQ6WKQaoFYtydgxZAi8+mpw64c/UVEijn/4IXOiul8/SX0XSTp3lunbhw2TgZqFwghvlSolKQMfflhySAfLwOJGfvZUg4jquXPFLz96NLz3niwfNUrSJe7fn6vFMxRA9u3z5s6HvGv/aAv8aL+eggjpFsBSrfVhrfUJYD5wFdAecG7Bv9vLDAaDwZBFpk6FSy6BLVv+QeuMnmWHUJHNtm0zTj9+7JiI2UBWC18LyJkzYtUIZOXw5aGHRBxPmhS+qHbKWLx4eJFgh2LFIi8+W7aUqHtqKtx6a/jbxcd7J2ZxE9WLFomVZNq09MuDNXbyC5dcIudqjx6SzcWZtbNqVWmsffpprhbPUMBITZXc6GXLepflFVFdXyn1o1JqnlKqI1Bca+0MsdgDVAEqA3t9tsmwXGudBlhKqTySkt5gMBjyH19+CQMGiG2jQgWxebixe3dwcZmQkFFUhxLi7dpJdHrXLpkyvGpVEbGhKFtWZtZbtixzorp7d4lw+1tUcptCheCRR+Dtt0NPG+6Gm6h+7z1ptFStClOmpP/s0CGZKr1o0ayXObeJipIMLvfdJ555X/71L4lWO4M/DYbscuiQjF3w7UXKdU81sBEYAYwHLgb+8Dumy5jvLC3H4/GQnJyMJ7OjN/IRBa1+Ba0+bhTkOhbkujkUtDru2xfN7NkVefPN3SQnJ1O+/ClWrz5MdHTGcPXWraVp3Pg0Hs9x133Vrh3FvHmV2LZt11nRunZtYS64oDQez76AZejUqQwjR56hdu0z1KoVh8cTYApEP3r3jiYpqTRFihwMa5BecnIyJUt6uPnmzA/qOxfcdZf8z0rZihWL46+/ip49P//8sxDPPluOX37Zx4ED0QwZUgaPxxun+vPPQpQrVxaPZ08OlT7yuF17L74ojRD/76xSJahatRyff36Mbt2yOUvOOaSg3V98ye9127QphjJlyqW7Zs6cgaNHgySiJ8KiWmu9E/jWfrtJKbULuEIpFWfbPKoCHvuvss+mVYFFPstX2YMWo7TWp9yOFR8fj8fjIT4+PkK1yX0KWv0KWn3cKMh1LMh1cyhodZw4UaK3depUweOxqF49ljNnKuBWxeRkGSAYH1/GdV/x8TJQbteu+LOTsSQmSqQ02Hc2YoT4Y2+/XbJyxMfHhVX2+HgnAhve+gXtt/OlQQP45hsoWbIkFSrEc/318Prr0Lx5JVJTZbBoTEz82Z6GMWPg2muD/y55jcz+fo89Bh99VIR7741goXKYgnyO5ve6bd0qjTX/OsSG8EpE1P6hlOqrlPo/+3VloBIwGnCSD90CTAMWI2K7jFKqBOKdngv8CvSw1+2GRLoNBoPBkAW+/z79bHlVqkhGDjcOHEjvJ3SjXbv0M92Fk2FCKRk4+O67wQcpGgLja/8YP17yiQ8aJO9jYqTRMnu2vLcsGDtWLD8Fmeuvl0bdHjuwuGOHSbVnyDpuE1+BWECCEWlP9Y9AG6XUXOAH4H7gKeB2e1lZ4As7av0kMB0ZkDhCa30YiXLHKKXmAQ8AQyNcXoPBYCiwrF8vsxs6BBPVR45Ixolg3HijCHWHcNO2DRsmk5cYUZ01qlYVC4RlweLFMjmM7wQ6bdvCH3YIatkyGeDXqlWuFPWcERcn6Rm//15SRnbsKBF6Q8FH69Be58zin/nDIZSojrT9IxmJMPuTYVJarfVEYKLfslTgjsiUzmAwGM4fDh2S7BxVfCyBVarAypXu6ycnh54h8OqrRZRv2iTp7/bsST9ZQiAaNhTR16hR+OU3eImLkwGeBw9Gk5goAxR9SUjwZsMYOxb693eftbKg0aOH9ICULy/pB7duze0SGSKNZUG3bnIvmzZNrg2QfPhTpsgg1qyQVyPVBoPBYMgDbNwoU4z7iqsqVSQThxvhiOqYGIlWO7MrZmaCkbZts5b5wiCIBSSGVaugadP0nzVqJNlbunWDL76Q3NvnA9ddJ7nTn3oKevWStIWGgs369ZJ7v1o1aVQ5KUIfewxefjnr+81qpNrc0gwGg+E8YMMGEdW+VK4c2P6RnBza/gEyPbcjqgPNpmjIeapWhblzixAfL55qX2JiJGp3990wY4b0IpwPxMXJxDpxcTB4sBHV5wOTJ0vDfswYCRgMHCipPpcvh1OnvB77zLJvX9Yi1ZFOqWcwGAyGPICbqA7kqU5JkW7VcKbqTkiQnNM//SQ+XyOqzw1Vq8Kvvxbh8svdP8/MhDcFiZdekgGKpUoFFtWWJYIrklPRG84NkybBa69JLvrx46VR1bWr2J8++giSkmRAdWbZv99Eqg0Gg8EQgA0boHbt9MsqVxabQFpa+uXhWD8cCheG//wHnn9eBgxVrZoz5TUEp2pVWLYslmbNcrskeYuLL5YBsPHxEm086ZK2+scfZT2tz335DDnH9u3inW7dWt7Hxclv+/zzYv9p0EBEdVbIaqTaiGqDwWA4D3A81b4UKSLief/+9MszI6oB+vaVLBTHj+fvqbDzE1WrgmVFBYxUn+/ExIjPdvv2jJ/NmQMXXSQRTCOs8y8//ihRad8ZU0uVEj91dHT2RLUZqGgwGAwGVyzLPVIN7haQcP3U/uS16cALMk6PwGWX5W458jI1arhbQBYvhhdegHvugVGjzn25DDlDYqJkIApEdiPVxv5hMBgMhgzs3i1RabfJXNxE9ZEjmYtUG849l1wCl156OkuNn/MFN1F96hSsWAGXXw7XXAPr1uVO2QzZZ/t2+Y0DcemlIqotK3P7TUuDgwfdRXWo+6IR1QaDwZCPGTNGukH9fdG+uA1SdAgUqTaiOm9Tty5Mm7Y3t4uRp/EV1amp8n/1avFTlyoF9euLqM6s6DLkDbZvD54Xv1w5iSy7WYCCcfiw5IF363kzkWqDwWAooKSkwMMPw4gR0tV56JD7ekZUF0xMnu/gOKL64EGxy6xdK9aPFi3k84oVRVDvNW2TfIdlwd9/h55sKisWkEB+ajCi2mAwGAosM2bIQ2PZMvk/bpz7eqtWufupIbD9w9gKDPkdR1R/8400QJ96ChYtgpYt5fOoKG+02pC/OHDAO9A6GFkR1YH81GBEtSEfYFmSrN1gMGSOyZNliuqoKLj/fvj444xd2bNnS/7WPn3c92Ei1YaCSo0aMlX56NHyt2IF/PCDN1INUK+ezMpnyF+EE6UGmV10xYrM7dtEqg3ZYtOm3D3+jh2S2iirMx8ZDAWBM2fg999lUGE4pKaKQLjxRnnftq1E4xYt8q7z99/Quzd8+aWkEHOjYsWM3d9GVOcfDh06xGuvvZbpz84HLrxQni8ej0zZPmKENDrr1/euE26k+tgxiY4WBI4ehZEjg4/DyOts3w7Vq4de76qrYO7czPnmTaTakGV27YKmTXNuf5YFn38uI6zDZetW2e6XX3KuHAZDfmLWLPF89u0rD7twWLgQKlXyTkEdFSUpwt55Rx4KU6dKRG7oUOjUKfB+4uIyTpBhRHX+Yfv27YwL4PvZsWMHY8eOPcclyjsUKSLXyIABkrd6wACxSsXEeNcJV1Tfcw8MGRK5sp5LnnoKhg2Dt97K7ZJknVCDFB0uuUQaD1u2hL/vYJHqQMsdzDTl5zn794t/8ujR0C2wcPjtN7jrLhkU5cxyFIpt2+TBPnUq3H579stgMOQ3fvoJHnhAomm33SbT7kZFBd/GsX74MnAgTJwo11/p0mL7CHUdFikiEW5fjhzxinVD3ubIkSMkJSXRrVu3DJ8lJSWxdevWc1+oPMQdd8gzCWRgp1LpPw/H/vHnn3KNxsaKQIvkANFPPoHu3WW203A5cUKeoeGwcKHcFxYsgOuugw4doHHjrJU1NwnX/hEVJakT58yRrC/hEGiKchA7SWJi4G1NpPo85+BB+R9ul3MwLEtav3XqyIUbLtu2yZSiv/+euQi3wVBQ2LRJHu5Nmsg1EE7kbPp06Nw5/bLy5cX+ceBA+ul7g+Emqk2kOv9QvHhxAO655x7Xv/OdF18MbH0CEWbJyd5nYaB9PP44XHABrFyZ40U8y6pVcN998Nln4a2fnAyPPirlcpvkxo3775ferGbNZOKbAQPEepbfCNf+AV5RHS7ZCTJmSlQrpaKVUmWydihDXsS5kezalf19ffedCOvnnsu8qG7eXMT4vHnZL0cwTD5Sw7li506ZGjwcNm2SyHBUlHikJ0/2fmZZElXy5Z9/xCsabIrqUJFuByOq8zeFCxemUaNGdOvWLcPfDTfcQMOGDXO7iHmaqKjg0eq//pIG7EMPiY1q+vTIlWXoUBlQPG5ceM+qbt1kLFKHDvDrr6HX93hEjPboIe/79ZOG+IcfZq/c/ixaBA0aVOLRR+U+GAnCjVRD5kX1yZNQtGjWyhVSVCulnlRK3auUKgksBcYrpZ7PzEGUUnFKqU1KqYFKqWuUUvOUUn8opaYqpS6w13lcKbVEKbVYKdXFXlZaKfWTvf40pZTLfGCGzOAMbjp2TN6HEtWZacG+8w488wxceaWI6nAF7NatMkq7a1fpYosU334Ld94Zuf0bDL68+CI8+WTo9SzLK6oho6hOTJSBvL7X4owZkJAAhXLAwGdEdf6mfv36TJgwwfWzevXqMXHixHNcovxHixbw9NPyLPJn/HgZ7FuqFFx7bXji9dQpmDRJ7Fhz54ZXhtmzRdh//rlc68EsBiDjJlaskPV79AivXIsXSzpBp8EdFQX/+Q88/3zO5uqePRvatElh/36JpEeCzESq69eXHP7hCvyIimqgm9b6Y6AXMFlrfS1wZSaP8zTgjJsdBdyptU4AFgD3KqVq2vu/GrgeGKWUigEeBmZpra8GvgeeyORxs81XX+XvEbK+zJol3qlbbpGTHoKL6jNnpDt65szQ+z5zRi7whAQ50aOj3W9QbmzbJqK6e3f4/vvIfd/r1olvu6D8noa8S1qaNF5nzQp9vu3eLTfw0qXlfevWYt1wZgGbO1dE74YN3m1++w06dsyZsgbyVJs81fmDqKgo6gSY2SfYZwYvo0aJYL78colM+zJ1qkSEQTLsLFsm9oBgPPkkvPQSHD8uojccPv1ULCZFisiA5f/9L/j6v/4q5SlSRO4FM2d6Z40MhO/ENw6XXgr9+0skPqd6cpcuhQ4dUhg2TF7nNKmp0ltXtWp460dHy3013Gh1pEV1jFIqGugDfGsvCzuGoZSqC9QHnBjkPsCxgF9gv08AftFan9Ja7wW22du0BybZ604BOoR73JzgyBE5uXM75VxOMH26DIB66SXxL+/bJ8sPHpSpOP3z1AJ88YXMQOUI8GCsXStdMaVKSeu3VavwLCDOrEg1aojgL148chaQv/+W1vjq1ZHZvyF3iMRN25dQDyo3liyBsmVlsEuo8803Sg0Sfb7+epl6HOR6KFZM/JYg10xOi2qT/cNwPlO4sAjhbt1kbI/D3r3ybLvmGnlfogRccQX88UfgfR0+DGPGSKT69dclq1U4gZz168XnDKI7vv46eE/xL7/IQEOA+Hj5CxXd9p34xpeXXpJG+9tvhy5nOCxZAo0bn6J2bRn05+iNnOKff8S2Ehsb/jaNGsmA03CItKieBOwC1mmtNyilhgOLM3GMkYBvB8AjwGSllAZaA2OAyoBv58MeoIrfcmfZOWPtWvmf30XY4sXSEp08GW64ASpU8Hb1HDwoM635R6pTUqRL6Ikn5AIJxdKlcrNxCFdU79kjN6rixUWM3367iPlIsG2bjPz+7bfI7N9w7jl6VPz4kfLtbdoUczbXbWaYNElsHO3aBX8AyzEk7ZMvjgXEsiRS3a+fd4DUunUihHMqO4exfxgMQqtW6fO8//ILtG8v14hDKAvIZ5+J2L3wQhkgWb68RLeDkZYGWnszk9SpI9k/Aj1D09IyDlQOVS7HUtK8ecbP4uLknvXaa+nrnxV275b7cs2aqURHS0MhVP1BshZddZVXdwUj3HR6vrhNchWIkyfDz6biT0hHntb6NcA3e/zbWuvkcHaulBoALNRab1HePDbvAjdprecrpd4EBrts6jbEJuiwG4/HQ3JyMh6PJ5yihcX8+cWAMsyfn0yrVmFV2Y68xlCjRhbCWyHIav2+/LIkt99ucdFFR/F4IDa2BFu3RuHxJLNzZxkuuijKfu/NbD96dDHq1ClKz56H+PjjiuzcuSvowKdZs0pTt+4ZPB4xa9euHcvYsaXweAI3UZOTk9m4cS/x8aXPrte+fTQvvVSRYcN2ExeXs6MKt2ypSL9+x5g6tQh9+56bLP45fU7mJfJC3ZYvLwxUYObM/bRvnxJy/czy88+FSElJpU+fM3z11f6wUmlZFkyYUJEPPjjI1q0xfPddMXr2DHy+rVxZkooVwePx3mMaNoxi0aJK/PTTfmJjL+DKKw8zZkxxPJ4DfPttca66qhD//HM4W3Vzfj/LgtOn49mxw3O2fkeOVObo0d14PPl3ZG9eOD8jTUGuY27U7eKLC/H66xfg8UjUacKEC0hIOInHc+LsOk2bFuKTT8oydGjG2crOnIG33qrIp58exOM5DUCbNqX45huLatUyaginjjt3RlO8eAWOH9/N8ePyWdu2JfnmG6hVK+N2q1YVpnTpMsTG7sX5ipo1K8I775Rg0KD9rnVLSipElSoXcPz43rPH8KVwYbjpplJMmZJG9eoh/C1B+O23IjRsWJyjR6Vu9eqVZOZMi0aNgu9zxoxSWFZhWrcuxKBBx7j//mNnNYAEF2K55hpJD7ZyZVHKl4/D4wmSssWPIkWKsnVrsXQ6JxBHjpSzy5/5dGQhRbVSaiAwBCiNCNsopZSltQ4n419X4GKl1PVANSAFuEBrPd/+/DegLzAT8M0eWRXw2H+VgcM+y1yJj4/H4/EQHx8fRrHCY8cO8R9t2VKS+PjwwjaffAL/+pd0d9iZjnKMrNZv2zbJ0xkfLybJWrUk+hwfX5KUFJn85ZdfSLfvmTNlgMFll1WmZEk4cSI+QzTNl3Xr4MEHIT5ejKHXXgs9e0LFivEBB1N5PB6OH6/AJZd4jx0fL91TixdXCTitsmwreX1PnJCu8gcfDP4dpKVJK/WBB0rz9ttQtmx8lrt3MkNOn5N5ibxQN2fCoJ07yxGJoixadJIPP4zhrbdimDQpnoceCr3N+vVw+jR06lSBvXultyfYdbBnj1g5/O8x7drByJEVaNsW2rUrx5NPynXy22/w7LMQH5+9G4zv7xcbC+XLyzVx5oxEri+5pErYGUTyInnh/Iw0BbmOuVG3SpXkeixaNJ6SJcV69emncVSufMHZdSpXloH+KSnx1KyZfvsffpDodOfOFc4u69kTHnsMRo3KqCGcOq5dK4PpfOvbuzcMGgTvv1+SI0fEuuBEmT//XJ57vuvfeKNMUFOqVDwlSkgZjx+XnmmAKVMkEhzsO73oIrFrOFohK2zaBFdfDSVLliQ+Pp6EBBg7NvQ+PR7xlDdtCo8/Xop27UoxY4b04i1fLpaYkydF/CcnQ926EB8ffji5fn3pmQ/nnEpLg2rVigR8pvwTJOQdjv3jcWQQYSOgIdDA/h8SrXVPrfUVWuuWwGfAC8AOpZQzSegVwEZEVHdVSsUqpeIRAb0O+BWwk79wCzAtnOPmFElJkt4mXPvHjh0yU1HNmuGNxD1XrF0rgxEcKlRI76muVy+9/ePUKRHdV18t71u0EAtJIE6elAu+SRPvsrg46W4JNYvRtm0Zc4j26SNdQcGYN0/qMHgwvPCCDJIMxu7dMhCscmVo2BDmzw++vj8HDpgBjnmRNWvk93T8xjnJiROwdGks114rjeWXXw4vG87SpTIoJipKpgCvXl0eCoHw91Q73HijDHRs3RqqVROhm5goafrat89ytVwpWtRrAXFytOZnQW0wZIWYGLExLl4sWT8aN844CUt0tDSC3Z7x33wjVktfrrxSBh4Hsx78+aeIRF+uuEKecZs3i9i89lrxa586JYMa/YNOxYqJIHWebS+8IHZPZ/BhID+1L+XKiajODv5W0MsvD2/ci9Zie6lRQ777W27xWkGnTZPnrzN4e8sWMjRoQlGlSvipgyPtqV6vtd6gtT7m+5e1wwFwH/CpUmoW0BR4V2v9N/ApMAf4Drhfa50G/Ae4XCk1FxnM+EY2jptpkpLkpNy1S1pGoRg8WCKmgwenT4kVigkTZPBgJDh6VASl70xC5cun91TXrSutc0c0LlsmPmsnG0Hz5sF91atWyT78T0Kl5EIJhpP5w5d27WSUbjAR++efMnike3d49VW4++7ggufvv73pd268UURSZrjuOhl8YshbJCVJBCMSonruXKhf/zRlyohwr1kTfv45/TodOmScDGLjRrl+HLp1g9GjAx8nkKi+/nrvqPWoKHnAP/203JMKF856vdzw9VUbP7XhfKZlS8kL/+qrgVNiuuWrPn5ces5uvjn98sKF4dZb4aOPAh/TTVRHR0ua2eeek0HLbdvC++9LRrI6ddILV4eEBO8Yjh9/lB7kWbPk+TdligjzYGRXVFuWCGhf33aNGtJzF8zJc+aMZAvzvQ/26CE+bxBRXbSoN0iXFVFdqZJooXCCYydOZF1UB7R/KKXeACwgRSm1AFgEnJUtWut/Z+ZAWuvnfN5e5fL5u4jf2nfZUeDGzBwnp9i7V1or1atLt0FSkgxiCMSqVRKNmjhRfrjnnpMTJVQe2SNH4OGH5UGWmiot5WAsWCC5oEuWlOlXu3cPvv66dXKx+u7XP1JdqZLsb/9++UxyTHrXb9FCJnYJxOLF7he4I6qvvz7wtlu3ZsxiUK0alCkjZW/QwH279euhSxd5PXCgtGjHjZPXbmzb5hXVDz4o0Xn/egZixw65UVSrJt1xhrzDmjXSQHruucxN1RsO06ZJrlWQUUp33indrs41d/SoPLCWLUvfS7NxY/pz/rHH5Fp45BF5GPqSnCzdtG5TEleoINdWvXryvnFjyQXvWF5yEiOqDQahVSsZMF+jhohnNzp2lBR0q1eLwLv+epljoXlzr93ClyeekOfoo496g1W+/Pmn+7O8WzcR6aNHy/Zt28qz8YMP3MuVkCDH2rRJeldHjZKIddGicv8JJUSzK6q3b5dGRHy8V0RHRYk+WLpUAgJubN0qkWRfIduihdRh2TLpie7e3Suqt27NvKguUiS9zglGpCLVScBaxILxMbDKfr/W/qxAs3atCLqoKEnFEsoC8uGH4meKjfWO+g0nNdyIEXLhVqoUOt3Lrl3R9OghLbiuXSUiHmpa76Sk9NYPyBipvuCC9F0jc+Z4UwiBdCmtWSNpd8aO9S7fskVO9Oeek64af0JFqlNT5eJ3m0K2TRsRLIFYv94rNqKipBzBLCBO2j6QbrI33oAhQ8Lrzp86VW6iM2aYadTzEnv2yO9Rs6ZEhsOZ2jsz/PorJCR4Bz/27CnXhtONu3SpnMP+x/WPVJcrJ8L6qacyHmPTJulFCmS1uPxy72dNmsi1mtPWD0gvqo8cMaLacP7iiLmhQwNfl5Ury3P15pul96hfP8kr3bOn+/q1akmmjkBi2C1SDaINXnpJphKvV0+ei6VKSW+uGy1binb56ivRCP37i31k5074dxhh0OyK6qQk90BYmzYZe/l82bAhY8AhOlpE+JAhYqGpX180R1qau200HCpXDs8CEhFRrbX+Qmv9BXCh89pnWeOsHS7/4HtyhBLVR47IbH133eVddsMN3q6LQPz1l0RYX31VWrjBfMupqXDvvWW5/3649145Vr164uEKhtM48OWCC6TMR4/KCRoX5z3ZzpyRaHjr1t71S5SQ/JXHj0vD4YQ9EHr0aNnX9u3u3UrBRPWiRXDddRWoWNGbRsiXNm0C58dOS5OL0PcmVKuW3DwC4Wv/AGmYlCkj0e1Q/PijfN9164Y/O5aDZRnbSKRwrlHHGpGTFpAzZ+TcbdDg9NllJUqk9/ktWCDnrq+otqyMohpk8PL8+RnTRY0dG15vCUjPzCef5Lz1AzJGqs3EL5Fnx44d3OzvFQjA4sWLGTJkSLaPeemll9K/f3/69etH3759+TmY0jlPqVBBnt2hfpp58+QZvnSpeJ1/+gluuinw+sOGyXPUbaKlQ4fcU8QVKybbOVl5PvhA7KKBxH7RoqIl3nhDotyFC4vAnjAhvPtGdkW1//gth759pRf/xImMn4G7qAb5PhcuFPvlxReLqN61S+5PxYplvnzhptWLiKhWSt2slJoAPKSUGu/zNwkZNFigyYyoHjdOvJW+I0U7dQo9acrrr0u0uWJFaR0H8y0nJcH+/dEMG+Zd9n//B2++GXwWJLeTPCZGxPCmTfI/KsorqleulIu7fPn029x9t7SY69TxCoNVq+TCDZTlJJiofvRR6Nv3GLNmuZ+8jqh2q9u2bXLxlyjhXXbxxcEn6fH3bkdFwfDh8hsE81gdPSpCulMnafln9hm0d280d9whkQ9DzpKUJF5nyJyo3rdPIj/B2LtXzjF/+9add8J//yvn5YIF0thav977+Z498vAqWzb9dsWKyTnk23u1caMI9OHDwyt3xYrizYwExv5xflCiRAnGjh3LuHHjeOeddxgzZgxzwp1m7jzixhtDWzEdYVu0qIjwGTMyXve+1Ksngt33fgHeAXrhpOssXz50hDYhQa7lDvZUeVde6S5Y3ShbVp5VWZ1Z0S2IB2KdbNbMO6GV/0yzgUR127Yya2KXLtIjuWVL1vzUDuEOVoxUpPp7JPPHUuB9n79RwOVZO1z+wLJE4Po/sN1mVktJgbfekvRuvjRqJCeKf6vUYedOabk5wYdQkerVq6FRo1PpLjwnOhxsMhM3+wfIxb1hg4hq8Irqb7/1XoxuNGniHZi1cmV6L6k/VauKKD3skk53yxbo1OlkwBZ3jRoi1v1vQCBdZY71w8G54AIJZP9INUg3erFiYu8IxK+/Spda6dJyYWdWVG/fLndmF0npXwAAIABJREFUt3oYsod/w9d/wGAgliyRCHGwiMw//8gN2J+WLUVoz5kjEZQ+fUSAOwOZ3aLUDk2bpp/x7PHHpUu2UqXwyh1JjP0j77BgwQJ69uxJv379GDx4MKdsz9nhw4d54IEHuPHGG3n//fcB2Lx5M3379qV///7cd999HDp0iMWLF3PvvffSv39/kpICOzXLly/PE088wRd218t///tfevbsSY8ePXjvvfdITU2lQ4cOHDsmeQkSExN5MFTu0vOUIkXSWyYD4RugS0qC224rx9Ch7taPrHLTTRKs8w06hUtsrPRcuz2zwyGQ3gDvxG5vvinCf8EC72cbNrj3WMfGSg+0UjkjqitXDh2pTk2VnsrMzNboS9C2kdZ6K3BCaz3b52+u1jqHJ53MW8yYIVYHJ6Vc2bKBPc9vvCEnUdu26ZcXLSr5FQPd00aOlJPMiQg3aSItVrek7CCivn799AbgqCgZODdhgvs2hw7Jn392DZDjbtyYXlTPmyeWjieecN8feBsYBw9Ki9Y3q4g/UVHS+vSPVp844QyQDD4Mt1078TLXrCkR8U8+kRN+/fqMN6ESJUT4OhfM1Kky4tjBTVRHRUldn39eBos2aZJ+G5DURbfdJq+bNpXvc+PGoMWmf3/J8w2wY4eI6pz2+xpERDuiukUL6Y0YPlzOrREjpIHohhPRDjZz2K5d7oMHo6IkWv3vf8u1Ex8v57hzbwgmqps186bWW79euo1zoEc/R/CdqtxEqnOXw4cP8+abbzJu3DhKlCjBPLt7Q2vN66+/zvjx4/nuu+84dOgQ7733Hv/+978ZO3YsV1xxBV9++SUAGzZs4PPPP6dBoJHeNg0bNuSvv/46+/6rr75i/PjxfP/995w4cYKOHTsy076ZzZgxg+uDjTo3hMRXVP/8M5QqlUbXrqHnWcgMDRpIoC+rZNUCkpYm97X69d0/v+kmEdLvvScJBXwDVE603g1H3FapImJ/3brsRapDieqUFNFvWU0pGk5KvQNKqZeVUjcqpbo4f1k7XN7HsiS7xjPPpO/+adEi40N482bxSL3zjvu+mjZ1z0+7YgV8+aUMXnIoWlTEeaB8tqtXQ716pzMs79pVvFxu3TWrV8sJ7tat5Bap/vFHKZNbhM7BiVSvXi2R/FBdVkplbIz8/bdYTEJt+9ZbEoX/7TcZCPL++yL63SLVIAJ/82a5KG65RRpHINHyEycyWlpAfHPly4uoOHUqfT7N2bPlYr/9dnkfHS1e7K+/DlzmM2dkAgAnIrljRyGKFg0vUp2SIjecrHa9nU/s2SPnb4sW8r50aYlA//GH9JCsWSPnstvA0pUr5aYcaApgCBypBmk0LV8uEymAXGPO7xtMVDduLA+EU6cks8j112e9izGnMZ7qvEPZsmV5+umn6devH4sXL+bQoUMANGjQgOLFixMbG0utWrXYvn07W7dupXFjGeLUokUL1tmtd6UUsWGE2o4ePUqM/aArWrQo/fr1Y8CAARw8eJBDhw5xww03nPVdL1myhISEhEhU+byhUaP0jfpu3U7wyCPee0leIKuieutW2dYtuwlIr/Ann8Dvv4ttzslidOyYWPJCTTseHS2BsT/+yF6kOpT9IzvWDwhPVMcCVYAbkIlYegARcvZFDssSW0OoeeV//VWikf6jeN0mQHnhBYlwukWCwV1U79olgxg//FB8RqGO4SCR6oyiunZtiSq5Zb6YOjVwXkr/SHWtWrKvRx5xX9/BiVSvXCmvQ1G3bsZItVtuajdKlRLBcskl8nt89plEIpcudRfVtWqJr3rFChEuU6bI8q1b5WJ0a3nGxIjAee01aaD8/rsstywZ/f3CC+m7gfr0kYEfgYTvypUiSjZskPfbt8fQtm14keoXXpA0TcEGXPpz7Ji3zOcTU6aIR7lIEe+yihWlh2DzZrFWXXqpjMj3Z9UqGezriOrExIyTAQWKVDvH6dPHm26rfn3v7xtMVBcvLg+DtWvlnAuUris3MJ7qvMOwYcN45plnGDduHO19Ur1E+d3A/N+fPn2aaDtSEY6gBkhKSqJevXrs3LmTMWPG8NlnnzF27FiqVq0KQN26ddm3bx+rV6+mdu3aFPG94AyZxolUW5bcf5o1y/hMz22yKqqDWT8cbrtNnudOz6LHI/fDiy8O7WEHuX8uXRrZSHXERLVSyrl6HnD5y3fGquXLJXIZLM1daqoIqREjMv7A/oI3LU0ixP36Bd6fm6geNEjyS/fokXH9Vq3cy7d7t0RAK1d2t0t07ZrRF2xZIiwCDWxyItVlyniPvXZt6JPJaYlOnhzcT+2glHzvr7/uHbi5dWvW0uFccYXYQVaudPegOZHqhQvFjjNlinwPEyaIhysUHTp4BerUqRLh7t07/TotWohgX7FCGl+OzcNh9mwpmyOqd+yIoUuX0KI6MVGsJgkJmcswMnSopBMMZBvKLwweLLNohcvkye45T2NjvWL4iSfEnuXrsz9+XG7mAwd6U+INHpxxYoZgkWqQjC59+8prX1H911+BRTWIBWTePOkGjURqvKxiRHXe4ejRo1SpUoUjR46wePFiTtuetHXr1nHixAlSUlLYtGkT1atXp2bNmqywIypLly4NaffwZf/+/YwaNYp7772XgwcPUrZsWYoXL87atWvZuXPn2eN27tyZ559/nm7duuV8Zc8zqlYVi6HTI1q1qstArVwmq6I6UOYPNwoVkmf51KkSmLz77vC2q1lT7tlZ0Q8Q3kDFSEaqnTnAnLzUzl++zFM9erREhoPlMh49WqJJbkK0SRN5YB49Ku9XrJCTL9iP27ixtN4cn+6uXSL4hg51Xz8hQUSZ/2C7VaukhRvI4+MknvdlxQppGASKJjsTwDiRagg/VVfjxjJ6N5xIdevW4pVasgReeUWWZVVUg+yje3f3wV1OpHrhQmm8xMZKQ+ijjySlWSiuvloaQcnJknt7xIiMFpWoKIlSvvOOCPfrr5fJYRxmz5YbhK+obtNGblLBZuW87z7x2d9yS/iiev58mZSnYUP3KXMDsXdveNPGZpU1a8QCE66N5eRJsUONGhXe+kePyvfcJYQJLSFBuhx/+MG7LClJGj2VKokf+qOPJHLk75MPFqmG9NeiI6otKzxR/Z//yP0kUDdpbuArqo8dC5zRx5CzbNmyhf79+5/9W716NX369KF3794MHz6cu+66i48//pi9e/dSv359hg0bRq9evejVqxelSpXioYceYtSoUQwYMIA1a9YwIERam6NHj9K/f3969erFnXfeyaBBg2jUqBH16tWjePHi9OrVi59//plevXoxYsQIALp06cKuXbtoGWqOa0NInHkvPv5YAllZ9e1GkuyI6ky06ejSRQZrx8WFP7akZk35zvzHR4VLOAMVszObIgCWZYX1V6dOnXJ16tQpG+765/Jv2bJllmVZ1s6dOy03TpywrLJlLWvsWMtq3tx1FevQIcuqXNmy7F250rKlZc2aJa9ffNGyHn448LoOSlnW6tXy+v33Latv3+Dr16ljWcuXp1/2xhuW9a9/Ba5fSopllS5tWbt2eZcNHWpZTz4Z+DjjxlkWWNbIkaHr4M9TT1lWVJRlHT0a/jY7d8pvkJZmWb17y28RqD5ZZe5c+Y2qVbOsjRvl96lf37I6dw5/H23bWtbgwZbVqJFlpaa6r7NunXx3I0ZY1v/9n2U98IAsP3PGssqUsSyPx7KKFbOsw4ctKy4u1TpyxLKaNLGsJUss66+/LOv339Pvb8MGOfdSUy1r1SrLql07dDlTUy2rbl3L+u47y3r3Xcvq3z/8Og4aJOdZWlr427gR6Pf7178sq3hxy7r6asvavDn0fqZMsawrr5TfzblWLEu+x8mTM67/3XeW1bFjeGWcOtWy6tWzrNOn5f0nn1jW7bfL64EDLSsuTn7HcuXSb3fllXI+hXOOnjol+2nUyLKqVAm+7pw5cu68+GJ45Y8kvnW7807L+vRTeX3bbZb19de5VKgcJKfvL3mRc1HHiRMnWu+8807Ej+NPQf39hgyR58Nrr+XNOj77rGUNH5757Ro3lmecQ6i67dolz7C//w7/GOPHW9aFF2a+bA5paZZVtGhw7bJsmWVddlnw/dia01WPhvRUK6UGKqX+BmYDc5RSW5RSvUNtl5f44QexYnTvLpEqt1n0Pv9cuv+bNQu8H18LSLieyKZNvdHxYHYMh3btxIjvi6TTC7xNbKxEOJ3ZmhzLQ7BjOdN0+kaqw6VxY/FFZSaaFR8vrb8tW7IXqQ5GrVpiDTl5Ul536yYRxFA+cV86dJDvcfjwwAMp69WTSPQzz0hL+6uvJFq9erW0hKtUkWjlggXeqVHr15eW/F13Sb5vXyZNEitDdLS09PfuDd1FtXu39DTcfLPkVP3pp4yZS9zYulWsEydOBO+1yQ6bN4s9olMnKZ+TVSIQkybJuTpokFhgjhyR7BoNGsD990tUx5fJk6XO4dCli3ignQl4Vq3y9rC0aiVZYx5/XCw9Bw96twsVqfalcGHpiRkzJnRav8suk0hLXvJTg4lUG9x5+umn+fHHHxk0aFBuF6XA0KiR2NBatcrtkriTlUh1aqo8EwNl/nCjUiUZ4B1qgKIvzZt7bXdZwXdOjkCci4GKjwBNtNYNtNYNgOZAkKRreY8JE8T7XKqUiDu3CUkSE4PnZwa5CCZMEIvBypXhzYTWqpUIhc2bxVoQ6mGakJBRVPsKgUA8/bRkjti3T2wsRYuKoA+EkwkjK6K6SxcZNJhZrrgCli3L+hSjoahcWS6ali3lf+vWkkEk1O/qS/fu4nUNNZuW08VfsaII5c6dJS2Sc04oJZaMCy+UFlz9+mIZ2bgxYyaQyZO9M3FFR8tI8FBT3Pt+h9WqSSMn2LTuDq+9JoP0+vcPPRtnVtm0SSw/Tz0ljZvHHw+87pkzknXmpptEVI8bJ768ffukkTJnDjz7rHek+OnT0oDo3j28skRFiZ//uefEluI7wLZvX2kcx8XJ7+lYQCxLugjDFdUgDYD/Z+++w6OqtgYO/ybJpCeQBAgpSAmw6UWadJCmCFwBAWmC4OdFUAS90kGqYBe4NhClCOgVBVERLiAKSJWaUPalhsBIKAnpfeb742RCOmmTSYb9Pk8eMicz5+ydScI666yzdvPm2s9DftzdtTrC/H43rSFzUB0fX7TVyhTbs3DhQtasWYN7UZoeK7lq0kSrKc4vgWdNRQmqL13S/l5a+mS8evX7ZaRF9aCbFUsjqL4O3Mv0+A6Qz9p1ZYvJpAUo5j7SzZvnnqELDr6/2EteBgzQ9tOkiRb4uLg8+Pjjx2s1nC1aaMHog17TpYtWU2vOpsfFaT+wD7oBoGZNrUPGmDHaDVr/+U/+9VrFyVS7uRWs0X12LVtq78WdO/nfBFZUOp12s6I5A6DXazdBFKZurXFj7WbFgqxuZbZwodbQfswYbZVL0ILK//4XAgO1G1Hq19cCus8/12qr07tk8fffWpCd+UbKjh0fXFedvYPKgAFaxjc/4eFa7+bJk+HZZ7XP81tNErTfi/R1JrLI63Um0/3m/DqddvK1dWve7esOHNBOCmrU0OYzY4bWsePLL7WbemrX1q4ETJigZUP279fe4+ydc/LTurV2wvOPf2htrMxBtZvb/eC2du37QXV0tHY/gqXiiN69C/fzVRpUplpRSkezZtriU2X1xLUoQXVBOn+UFb6+WkvWvCQmFiy2y4tDXl8QQrwLmIAE4IQQYn/647ZALsuglE2XL2tnhebCdnNQnblrR3Ky9h9qbm3aMtPrtW4CfftmbeWVH3t7rTdj3bpasPQgVapol0OOH9eCgSNHtCC+IGdOs2Zpx/nqqwfPpTiZ6qJq1UpbOCMwsGDtc4pi8GDt/SlNjo45r0CYl3Nv104Lqjt00ALG3r21k6xz57Tgf+tWLcuduQNWp07w4ov5HzN7CU2fPloXGJMp75OIPXu0THrlytr77+6uBZnt2uV9nG3btEzv//3f/TGmpWn/MSxc6JijA8fNm9p+zd0jKlbUgvjly3O/3PnFF/cX14H7JyWZPf64Nt5t27QTnoKWfmQ2bZp2snnvXu4/85kz1TdvWuakryxTmWpFKR16vZbUKKvMQXVamnaF1ctLuxJ38aKWfMjtKnVhb1K0pgedNFgyU23u9PET2tLkR9CWLF8GFKLXgHUdOKAFDeZAI7dMtZRagFLQs5NOne4vOlEQOp12CbygN0937w47dmif799/f2XHB/H3187AcmvXl52Li5aNKs2gumVLbXl2S5R+mM2Z8+ArDqXBvDqUOVNdpYpWS63TaSc85gVxtm7NGSS2aaNlS/Orz82eqW7QQMse57bqp5n5dwG0cQwa9ODsdkiIVmucuRf2r79q9XMrVuRMZ166pJV8ZDZ6tPaa7HVs589r28ePz38MoPXvXr4871Z6BaHT5f3znjmoLmzphy1QmWpFUeB+0HnwoPZ3YckS7Yrea69pVzdzu3enMO30rM3HR7tanpfiBtV5ZqqllGuKvtv7hBAuaAH6AmA9sAaoDcQAz0gpI4UQw4FJgBFYIaVcJYTQA6uB6kAa8LyUshDLYmj+/DPrakXNm2vBSuaMnnl1wLLi6ae1soXZs7WgesKEgr+2MBmmn38u3GX04vLx0coCLBlUlxXmmutq1XL2Ia1fX8tUJydrZR7r1mX9up2dtorj6tXaip25CQ3VMtxmOp32+Ndftf2/8YZWp5w5C33gQNbVP7t00TK4+QkO1q7qfPvt/RZ2n36qtf+bPdspx/Lvly/nXLq+YkWtNGnlSu1n2mz+fC2LXZDWcoMHa1lsDw/L/PGuU+f+jb4Pa6bafEOpylQrysPLHFSbEz5dutwvn61VS7uKnj2pGBKiXQksDypV0koh81IaNdXFNQuISP/8/4DbUsrWwLdARyGEGzAH6A50ASYLIbyBYcA9KWUHYBFQpPL07EG1r692GfvGjfvbgoPz765R2jp00FYaunDhwZfni6NLl9Lvk9mqVcFWUyzvvL21MovAwJytZszlH4cPaxltb++crx81Sqslzm2ZbdDKP7J/H81B9enTWo33mkynxXFx2jEz3xzTurX2s5/XwjEpKdpVnDlztIV0EhO14x4+rJXxPPNMfEYganb5cs5MNWgnhp99BhHpfwn++ktbFKig/UmdnLQThdGjLfMzm7mm+mHPVKugWlEeXh4e2v8733+f84bwDh1y3kSfkqJdocxtQbayyJrlHwAIIYpcICCEqAc0AMxLk/RFy1YjpVwhpdwKtAGOSimjpJQJwJ9Ae6AbYL44vSt9W6Hcu6cFAdk7Z5gzhWZlLVNtb69d4p47V7tZy1z/bAsWLtS6ZTwMduyABg1yBtXmn7/du/PuTBIUpD0v+0qZoF1lyW2p927dtJOwKVO0Guht2+4vwHL0qPZ7kPmPhaurdjKZeaXQzC5cuH+zYNOmWiZi/Hitc4iLC4weHceqVVkD/9wy1aD9fg0frq2itWuXVgP+6aeFuxnwX//S7huwhMqVtRrCu3cf3kx1UpL28xIXp4JqRXlY6XRaoicxMWeXotxuor9wQbsPrDg395WmSpXyL/8o7uIvBclU7xdCbBVCDBFCFPZQ7wOvZXpcA3hSCPG7EOKb9Ix0VeB2pufcAvwyb5dSGgGTECLT7VwPduiQVsebfaXA7EF1QTp/lLYBA7RMZUHrqcuLOnW02u+HgbkncXa1a2t9rX/+Of+lqidO1MoeXF2zlmlERGg/09nLJjw8tJ/3U6e0shFHR+1nG7LWU2eWW+bBLCTk/u/FjBnaH9mOHe8HtjVrplG3btal2i9dyj2oBq2dX+fO2g2VK1Y8uG1hadLp7tdVP8yZ6uRk7aS+oKurKopie3x8tMRH9i5F5v8vMq+WW546f0AZyFRLKRui9aWuCWwVQqwRQjxw6QIhxHPAQSnllUybddouZRe0OuvcFuzO6+JuoS/6bt2atVWZmXlZYdBuwrp3r+zV+T7+uBY02VpQrWgBS82a2h+j/N7fgQO1S2tXrmj90b/9VtueW+mH2auvav3KXV214NW8fH1eQbU58xAVpXX0WLny/tcyn2z26KG1A5w+XfujZNa/f9abHfMq/wAtcH3/fS3LXtA+06WpUSMty3/w4MObqVY3KSqKUr167ovHBQZqyZvMN8SXp84fYMUbFTOTUp4TQtxCq41+HviXEGIBMEVK+XseL3sKqCWE6AMEAknATbSVGQF2APPQSkMy54UCgEOAIX37qfSbFnVSyjwqTMFgMBATE4PBYADg7l07Nm6swp49tzAYsjbVrVzZkVOnPDAY7nLwoCN163py82Y+32Ur+eADZ1q1SsJg0E4LM8/PFtjafHKT1xxr1vTC29uOyMi7WVbyy8unnzowdKgP/v53kFJP1aouGAw5X9i6tfavwQBt2jixbJk7HTrcY//+yixYkPN3oVYtHQcP+jJmTCKBgToWLNATGhrP+PGxHD3qRf/+CRgMuS+JGBMTQ7t24bz9diVmzQonOVnHvXtVMZn+5kFva1l826dP17F7tzOHDjni5xeDwWC06Z/RzHOLi3MmKsqVy5fv4excGYMhnzt5yglbfu/MbHmOtjw3s7I6xxUrtCx1bkN79NGK/PRTMhUqaDfj/PWXF3365Px/oqzOLTXVjtu3q2Aw5L6s4p07nlSunIbBEFek/T8wqBZCjAGGABWADcA/pJS3hBCVgJ1A89xeJ6Uckmkfc4GraEHyE8BXQAtAAoeBL4QQFYFUtNrpSYAnMAgt+O4LZFtnMCt/f38MBgP+6bUFK1ZoLcOaNct5HbdjR61Fl7+/PyEhWlbYvwzWJGRfGTbz/GyBrc0nN3nN8YkntPKMgs7f3x9efx1WrPDl0Ue1FRv9/fMvYhs4EMaNg/79fZk3D5o3z/m74O+vde8IDnblxAntqs3jj3tStaonFy5A584ueZbrGAwGhPDF3x+uXvXHy0u74hMYWH7fUyHMLf60dK0t/4xmnpu/v3YlwcOjKh4eZfPvYWHZ8ntnZstztOW5paWlYW9vXy7n2LMnHDzoir9/RUArmevUKef/E2V1br6+2gJsvr7+ua6X4eCgtcD198+7LdXf+SzJWJBMdV1gspTybOaNUso76cFyYSwD1gghxgKxwCgpZYIQYhpa8GwC5kkpo4QQ3wI90hedSQJGF/Qg8fFae6y8VqXz89Mudd69q616N7ews1CUYipo14vMJkzQ6pWjo+8vh54fZ2fYtEm7yTC/GuG5c7UuJG5u2sf27VpZSkSEVv/9IAMGaDcdmkzl5w5wJStz+Yfq/KEolhUREcGxY8fo0aOHtYdSJC1a3F9lNyZG66QmhHXHVBj29lppbWRk7k0gSmNFRR0wWmT7rkkpp0gpfyzIQaSUczM9zLE0iZRyE7Ap27Y0tFKTQvv5Z+2Nz+uNNi/AcfCg1vmjICsdKoq1VaigrbS4ZInWcq8gsq/0mJvsiwXVrKn9Dm3YoJ21P8jgwVrN9fPPF+1kQbE+FVQriuUZjUb27NnD3bt3uX379oNfUAY1aqRlpxMStPtuGjQo2P8TZYn5ZsW8gmpL1VSHFH231nX4sLbqYX4aNNDOttq3L943UFFK06RJWmcPS99Y27y59lEQ9etr3UyU8kvdqKgolnf27FnupreeuHDhAjXKWoeEAnB21hKWISHaQnrNmll7RIWXXwcQS3b/OJ++quLtPD7KrCNH7t+wlZf69bXL3D17ls6YFKUk+PpqrSLL4x8ypexSmWpFsbxKlSpRp04dqlevjr4c961s0UJbWbG8BtX59aq2ZFBtrtoclMtHLs1WyobUVO2Nbtky/+fVr6/9q4Jqpbxp2jRn/1BFKQ6VqVYUy6tatSqRkZH4+PjQ8kFBShn26KPlO6i2ZKY6z/IPKeU76f9mqWtOb2/3Sa4vKgPOntVWgcu+MEZ2zZppDcvLU9NyRVEUS3By0v4zUZlqRbGc1NRUIiMjadiwIbrcVgYrJx59FL74Av73P21V3vImv6C6uCsqFrSl3gKgEloXDnsgl8WTy4aClH6A1sQ8pNxWjSuKopQclalWFMszGAykpaVRuXJlaw+lWJo00Zo81KqlLQZT3lir/MNsHBAEHJBSegJDgQNFP6RlFTSoVhRFUTSqplpRLO/q1as4Ozvj5eVl7aEUi5ub1j61aVNrj6RorHWjYsYxpJSJgKMQwk5KuRV4uuiHtKwjR6BVK2uPQlEUpfzInKlWQbWilDyTycS1a9fw8/Mr16UfZi1aFLxDVFljyUx1QboLHhVCvAz8F/hNCBEGlMk/uwkJOv73v/J79qQoimINjo6QnKwF1T4+1h6Notie27dvEx8fj5+fn7WHUiLef7/8tiN+UKbaIou/mEkpXxdCOEopk4UQewAfYFfRD2k516/bExhYft9oRVEUa7CzA71eW6ZerYqpKCXv0qVLADYTVJfnsnCrdP8QQnyFtqKi+XHmL/cFxhT9sJYRHa2jYkVrj0JRFKX8cXbWlu5VNyoqSslKSEjg3LlzVKxYEW9vb2sP56FnrRsVNwHfAylAIrAdrQQkBYgt+iEtJzbW7oGt9BRFUZScnJwgIkLVVCtKSTt16hSpqak0atSo3NZTh4SEkJaWZu1hlAhvb+1vncmUdbvJpAXVTk5F33d+fap/ARBCTJJS9sj0pW+EEGWypV50tE4F1YqiKEXg5KQy1YpS0hISEjh79iyOjo7UqVPH2sMpkkuXLtG0aVM+/vhjxo0bZ+3hFJujo1Y3HR2ddU2T1FStFM6hIHcb5qEg3T98hBB9hBA+QggvIUQPILDoh7ScmBiVqVYURSkKlalWlJJ38uRJUlNTqVevXrlcmjwpKYnBgwdjMpk4evSotYdTYszZ6syKW/oBBev+8RwwG1gM6IDzwPP5vsJKVKZaURSlaJyc4MYNFVQrSkkxGAyEhISg0+lo0KCBtYdTJFOnTqVChQoEBQXx66+/YjKZym3f6tdqAAAgAElEQVQJS2bu7lq3o8yKu5oiFKz7RwgwpHiHKR0xMXbqRkVFUZQiMPeqVuUfilJ8CQkJ/Pbbb5hMJpo3b46np6e1h1Rov//+O1u2bGHatGn88ccfHD9+nBMnTvDoo49ae2jF5uaWM6guiUx1Qco/yo2YGJWpVhRFKQrzzTkqU60oxWMymfj999+Jj4/Hy8ur3Aah9evXZ8+ePVy6dInGjRvzzDPPcPz4cWsPq0S4uUFstpYbpVX+USxCCBcgBFggpVydvq0XsF1KqUt/PByYBBiBFVLKVUIIPbAaqA6kAc9LKS/nd6zoaFVTrSiKUhTmoFplqhWleE6cOEFYWBg6nY7OnTtjb29v7SEVia+vLwDBwcFMmDCBp556yiZKPyDvTHVxFn6BAmaqhRBthRDPpn9e2M7ls4CMcnAhhDMwHfg7/bEbMAfoDnQBJgshvIFhwD0pZQdgEVpNd75UplpRFKVoVKZaUYrHZDJx7Ngx/vrrLwAaN25MlSpVrDyq4gsODqZx48bY2dnZfFBt8fIPIcS7aFnkN9I3/VMIsawgOxdC1AMaAL9k2jwD+BhITn/cBjgqpYySUiYAfwLtgW7A5vTn7Erfli+VqVYURSkac1Bd3EyNojyMTCYThw8f5tixYwAEBATQsmVLK4+q+CIiIoiJiaF69erWHkqJsmZNdUsp5RAgGkBKORdoXsD9vw+8Zn4ghKgLNJVSfpfpOVWB25ke3wL8Mm+XUhoBkxDCMb+DxcToKIf3AiiKolidk5OWpbaRRJSilBqj0ci+ffs4ffo0AFWqVKFnz544FKfhcRkRHBxcrhetyYs1g2p9en2zCUAIUQl44GGFEM8BB6WUVzJt/pBMQXYe8nrnHviOqj7ViqIoRWMOqhVFKbjo6Gh+/vlnzp8/D4CXlxdPPPFEuexJnZvg4GCaNGli7WGUOEsF1QU5jfoAOAQ8IoT4FagPTC7A654Cagkh+qAtFpOCdiPieiEEgJ8Q4g/gTbSstFlA+vEM6dtPpQf1OillMnkwGAxERVUhIeEmBoOxAMMrf2JiYjAYDNYeRomxtfnkxpbnaMtzM7PlOWafm9FYAWdnJwyGW1YcVcmx5ffOzJbnWNbnZjKZCA0N5dy5cxnLd7u6utKiRQsisq8qkoeyPkeAQ4cO0aBBg0KPs6zPzWh05+ZNHQZDTMY2g8EZk8kFgyGyyPstSJ/qH4QQO4CGQBLwv/Ta5we9LqO3tRBiLnDV3P0jfdtVKWXn9O4gXwghKgKpaLXTkwBPYBCwA+gL7MnveH5+/sTGmhCiarHPNMoqg8GAv7+/tYdRYmxtPrmx5Tna8tzMbHmO2efm5QUeHtjMfG35vTOz5TmW5blFR0ezb98+bty4kbEtICCAbt264VyIAKQsz9Hs0qVLvPjii4UeZ1mfm58fXL0K/v4eGdtcXaFiRfD3z//Gkr///jvPrz0wqBZC7CG99CPTtjTgErBESnn1QfvIj5QyQQgxDS14NgHzpJRRQohvgR5CiP1owfzo/PaTmKjVAtpqQK0oimJJTk6qnZ6i5OfevXucPHmSCxcuYDLdD4uaN29OixYtsLOzqaU/MBqNnDlzhsaNG1t7KCXOmn2q9wFOwFa0oPfJ9O1ngK+Arg/aQfrNjdm31cj0+SZgU7avp1GI5dCjosDDwwiUz36QiqIo1qRqqhUldxEREZw4cYLLly9nCaYdHR3p2rWrzXXGMAsNDcXT0xMvLy9rD6XE5VZTnZR0vwtSURUkqO4opcwcOB8QQvxXSjlbCDG+eIcvOVpQbXrwExVFUZQcVKZaUe5LTEzk6tWrXLp0KUuZh1n16tVp27ZtuVx+vKDM/altkTWDaichxKto/aONQEugkhCiLQXoyFFaoqLA09M2b1BUFEWxNJWpVh525kD68uXL3LhxI0tW2szLy4t27doREBBghRGWLhVUF15BgupBaN0+5qEF0RfTtzmhrXpYJqhMtaIoStGpoFp5GBkMBsLCwrh58ya3bt3KNZAGcHZ2pmXLltSrV8/maqfzEhwczFNPPWXtYViE1YJqKeWN9O4d3umbnIBPpZQ9i3fokqUy1YqiKEXn5QWVKll7FEp5cf36dSZOnMgPP/yQsW358uV4eXkxYsSIHM+fNm0avXr1IjIykgsXLjB16tTSHG6ejEYjISEhGW3xsvPw8KBhw4bUq1cPR8d815+zOadPn2b69OnWHoZF5BVUF7d8vCDdP+agdd7wAUKB6sDnxTtsyVOZakVRlKIbNQryiCsUxWYFBgbStm1b9u/fn2V7tWrVaNiwIdWqVbO51QQLIikpiStXrlCvXj1rD8UirFn+8aSUspYQYo+UsqsQ4lG08o8y5X73D0VRFKWw7O21D0UprsWLF3P69GmSkpIYOnQogwblHjKsWbOGbdu2AdCtWzd69erFggUL+OKLLwgJCaFfv34cOXIEo9HI008/zY8//sjs2bMJCwsjNTWViRMn0rZtWy5evMj8+fPR6XS4ubmxZMkSoqOjmTZtGtWqVUNKSf369Vm0aFGu47h37x4Abm5uBAUF0aBBA5u+AbEgzp07R61atXAqbpRZRrm752ypV1pBtUkIoQMchBAuUsrjQoilxTtsyYuOBk9PlalWFEVRlNJw5coVRo4cmfH4xo0bjBkzhoCAAKZPn05iYiLdu3fPNagOCwtj8+bNbNqkddMdNGgQTzzxBOHh4ZhMJkJCQqhfvz4XLlwgOTmZxo0b89NPP1G5cmXeeustIiIiGDVqFD/99BMLFixg/vz51KhRg/Xr17N+/Xr69u3LmTNn+PDDD/Hx8aFTp05ER0fnGix7enrSr18/fH19H8qsdG5s+SZFsG6mehPaCofr0ZYMDwfi8n9J6VM11YqiKIpSemrWrMm6desyHi9fvhyAqKgonn32WfR6PZGRuS/5fO7cOZo2bYqDgxaGPProo5w/f566dety5coVzp8/z7Bhwzh58iSJiYm0adOGEydOcOzYMY4fPw5oJQrJycmcPn2a2bNnA2QE4ACPPPIIlStXBqBKlSrExMTkGlQ3atSohL4jtsPWg2pXV0hIAKMRzPedllZQvUdKeQJACLENqAScLN5hS15UFAQGqky1oiiKoljLvXv3OHToEOvWrUOv19O8efNcn6fT6bJ02khJScHOzo7WrVtz6tSpjED63XffJT4+nmnTphESEsK4cePo06dPln25uLiwdu3aLFnm69evY5+tnimvzh5KTsHBwbz00kvWHobF2NlpqycmJNzvz18SQXVB+sK8L4RwAJBSXpNSHpdSlrmUsKqpVhRFURTrq1q1Knq9nt27d5OWlkZycnKO59SvX5+TJ0+SmppKamoqp06don79+rRq1Yoff/yRgIAAvL29iYyMJCIiAj8/P5o2bcru3bsBuHv3Lh988AEA9erVY+/evQD88ssvHDx4sPQma6NsPVMNOUtASitTHQdcEEKcAjJ+M6SUg4t36JKllX+os1BFURRFsRYPDw9CQ0MZMWIE3bt3p0uXLsydOzfH8wIDAxkyZAgjRozAZDIxaNCgjAVVLl68SPfu3QGt3rlSeq/HJ598kkOHDvHss8+SlpbGyy+/DMDMmTOZPXs2K1euxMnJiffff5/Y7HehKQUWERFBVFSUzS6/bmatoPq94h2idERFgbu7ylQriqIoiqUFBgZm6VEN8MorrwAwatSojG2jR4/Ocx/Dhw9n+PDhObbv378fg8EAwDvvvJOx3cHBIdcOHkFBQWzYsCHLtooVK2YZX/axKnkzZ6ltfZEbSwTVBfmO/Qn4A62klH8Ad4EDxTtsyVOZakVRFEVRlOJ5GEo/IGdQnZhYOkH1SqAZ93tTdwHWFu+wJU/VVCuKoiiKohTPwxRUZ64SKq1MdTUp5VQgHkBK+W+0zHWZojLViqIoiqIoxfOwBNXu7tYp/3AUQlQETABCiPpAmVtix2QCZ2cVVCuKoiiKohSFeeGdhyGottaNijOA34A6Qohz6dvGFvQAQggXIARYAOwGvgL0QAowQkp5UwgxHG2BGSOwQkq5SgihB1YD1YE04Hkp5eW8jlOhAqiFkBRFUYru1KlTVK5cGX//MncxUlGUUhAaGoqHhwfe3t7WHorF5RZUOzsXb58FyVRXBNoAQUBbKWV9KWVhblScBUSkf74QLWjuDGwGXhNCuAFzgO5o9dqThRDewDDgnpSyA7AIWJzvICsWYkSKoihKDkOHDqVVq1bEZV+/V1GUh8Lp06cfiiw1WK/7xwDgLPAB0EUIUeBDCiHqAQ2AX9I3jQe+T//8NuCDFrAflVJGSSkT0LqNtAe6oQXeALvSt+VJBdWKoijFExERQXx8PIMHDyY1NdXaw1EUpZQ9LPXUYKWgWko5BhDAZ2iB7V4hxIb8X5XhfeC1TPuKk1KmCSHsgQnABqAqWoBtdgvwy7w9fQVHkxDCMa8DqaBaURSl6O7cuUNCQgIpKSkkJSUxbtw4tayzojxkgoODadKkibWHUSqsVVONlNIohEgGktI/3B70GiHEc8BBKeUVIUTm7fbAOuA3KeVuIcSwbC/NqzI634ppJ6cEYmJiMhrG2yJbm5+tzSc3tjxHW56bmS3PMfvcfv/9dxo1aoS9vT0DBw5k5cqV/Pjjj7Ru3dqKoyw6W37vzGx5jrY8N7OyOMfjx48zZsyYYo+rLM4tu9RUN8LD7TEYojEaISXFnzt3DMW6P++BQbUQYhXQGTiGVo7xtpQypgD7fgqoJYToAwQCSUKI68BzwAUp5bz05xnQstJmAcChTNtPpd+0qJNSJpMHPz8XPDw8bPoGG4PBYFPzs7X55MaW52jLczOz5Tlmn1tUVBSPP/44Hh4enDlzhmPHjgGgK6d3gNvye2dmy3O05bmZlbU5RkdHc+PGDbp27Ypery/Wvsra3HLj7w/Xr4O/vzuJieDoCAEBDx7z33//nefXCpKp/hEYL6VMMm8QQoySUq7J70VSyiGZnj8XuAr4AslSyjczPfUw8EV6275UtBKTSYAn2oIzO4C+wJ78jqfKPxRFUYpu3LhxGI1GTp8+zbPPPltug2lFUYrmr7/+okmTJsUOqMuLzOUfJVH6AQULqv8GvhZC+KQ/dkTLIOcbVOdhAuAshPg9/fFZKeV4IcQ0tODZBMyTUkYJIb4Feggh9qOVnIzOb8cqqFYURSk6nU6Hvb09TZs2JTIykmvXrvHII49Ye1iKopSSX3/9le7du1t7GKUm8+IvpRlUL0PrVf028BLQH608o8CklHPTP12dx9c3AZuybUsDni/oMVRQrSiKUnx2dnZ069aNnTt3MnZsgZckUBSlHDOZTHz//ff88MMP1h5KqbFEprogLfXipZR7gCQp5TEp5Szg5eIfumSpoFpRFKVk9OjRg507d1p7GIqilJJTp04B0LRpUyuPpPRYq/wjXgjRD7gihHgLuASUuWuCKqhWFEUpGT169GDq1KkYjUbs7AqSe1EUpTz74YcfGDBgwEN1L4W1MtXDgHNo2elEoClaB48yRQXViqIoJaNatWpUqlSJEydOWHsoiqJYWEJCAl9++SXDhw+39lBKlVUy1ent88wt9OYX/5CWUaGCtUegKIpiO8wlIC1atLD2UBRFsaDPPvuMli1b0rx5c2sPpVS5uUFsrPZ5aWaqywWVqVYURSk5qq5aUWxfbGwsb7/9NvPnl9mcqcVYq/tHuVCxIkRFWXsUiqIotqFLly4MGzaM+Ph4XF1drT0cpZxKTU0lNjY24yMuLi7L48zbY2JiiI2NJSkpyWI/dw4ODri7u+f54ebmlmObo6OjzdYaf/jhh3Tp0uWhWZo8M1dXSEyEtDQVVOfg6qqCakVRlJLi4eFBs2bN2LdvH7169bL2cJQy7NSpU5w+fZorV65w5coVrl69ytWrV/n7779JSUnJCFbNH66urri6umZ8nvnfKlWqWDSITUlJIT4+nsjISK5fv058fDxxcXEkJCQQFxeX4yM2vT7Ax8eHGjVqULNmTWrUqEGtWrUICgqiU6dOODiUz1Bq7969fPzxxxw6VKguyTbDzu5+CYgKqrOx0ZNIRVEUq+nZsyc7d+5UQbWSq9TUVJ599lkOHz5M69atCQwMpGHDhvTq1YtHHnkEX19fXFxcyn2WNzk5mTt37hAWFsb169e5du0ae/bs4eOPPyYxMZHdu3cTEBBg7WEWisFgYOjQoaxdu5YaNWpYezhW4+kJ0dEqqFYURVEsrEePHrz44ovWHoZSRm3YsIFr166xf/9+HB0drT0ci3F0dMTf3x9/f3/atGmTsd1kMrFkyRKmT5/O2rVrrTjCwomJieGZZ55h/Pjx9OzZ09rDsSoPD4iJUTcq5vDdd9/RsWNH5s+fz+7du4lStSCKoijF0rJlS8LCwrh586a1h6KUQR999BGTJk2y6YA6PzqdjpdeeomffvqJ8PBwaw+nQEJDQ2nfvj2NGzdm+vTp1h6O1ZV0ptpmgupmzZpx5coVPvroI6ZOnUpAQABdunSx9rAURVHKLQcHB7p27cquXbusPRSljLl37x4XLlygU6dO1h6KVVWsWJFWrVrx559/WnsoD3TgwAHatm3LmDFj+Oyzz9TCTpR8ptpmyj/q1KnD4MGDiYmJ4ciRI3zxxRd07drV2sNSFEUp18yt9UaMGGHtoShlyF9//UXjxo2xt7fPsv2TTz5BSklERASJiYn4+/vj6elJeHg4K1asKPLxFi9eTOfOnWnXrl2hX3v37l1Wr17N66+/nuvX582bx7Rp03AqYlTVtGlTjhw5woABA4r0eku7efMm8+fP57vvvmPNmjX07t3b2kMqMzw8VKY6T+PHj+fo0aNs3ryZmTNnsnDhQpKSkqw9LEVRlHLLfLOiyWSy9lCUMuTIkSM0bdo0x/bx48ezdOlShg0bRteuXVm6dCnjx4+3wgjv8/HxyTOgBnjzzTeLHFCDdqX88OHDRX69pdy+fZvZs2fTsGFDnJ2dOXfunAqos/H0VJnqPNWuXZsOHTrwv//9j2PHjjF27FhatWrFqlWraNWqlbWHpyiKUu4EBQXh7OzMmTNnaNSokbWHo5QRkZGR+Pj4FPj5JpOJDz74gPPnz1O3bl3+9a9/cfHiRT766CMcHByws7Nj7ty5xMXFsWTJEvz9/bl06RK1a9dmypQpGftJTU1lypQpjBw5ktTUVFatWoWTkxNeXl7MmjWL0NBQFi9ejLu7O0II7t27x+jRo3nzzTd57rnn+PPPP5k6dSoAS5YsoWPHjixbtoyvvvqKpUuXUqlSJf73v/8RHh7OrFmzqFu3LsuWLSMkJISaNWty7do15syZg5+fX8aYKlWqxL1790rum1sMly5d4scff2TLli2cOnWKgQMHcvz4capXr27toZVJJZ2ptqmgGmDlypUYjUYqVqzIpk2b2LhxI3379mX48OHMnz8fNzc3aw9RURSlXDGXgKigWimqsLAwlixZgpeXV0ap5r1793j11VepU6cOX375Jbt27aJt27ZIKZkzZw5eXl4MGjSImJiYjP38+9//pmvXrjRv3pwZM2Ywfvx4mjRpwt69e4mKimLNmjWMGjWKjh07Mnfu3CwZ6FatWvHJJ59gNBoxmUycPn2a1157Lcs4U1JSePfdd/nxxx/ZsWMHDg4OBAcH8/nnn3P16lVeeOGFfOd56dIlzp49W6Dvyd27dwt1YmKWlpZGYmIi8fHxXLt2jYsXL3Lp0iUuXbqEnZ0d/fr1Y+rUqXTr1g1nZ+dC7/9hkjlTXRLhoc0F1Zl/QHU6HcOGDaNnz55MnjyZxo0b89lnnz30LWQURVEKo2fPnqxfv57JkydbeyhKORUQEJDx/7O3tzdxcXF4eXnx+eefk5SUxJ07d+jevXuO5/r4+BCXvpb0jh07SElJYdKkSYC26ucHH3xA9+7d6datGz4+PoSGhmac/LVr145jx45ljMHJyYk6depw7tw50tLSqF+/fo7OJY0bNwagcuXKnDt3jtDQUBo0aICdnR21atWiatWq+c7z999/Z8uWLQX6niQmJhYp6LWzs8PFxQUXFxeqVatGjx49GDduHEFBQVStWrXc9wUvTR4e2sKBKSng7V38/Vk8qBZCuAAhwAJgN7AOsAf+BkZKKZOEEMOBSYARWCGlXCWE0AOrgepAGvC8lPJyUcZQqVIl1q1bx/bt23nxxRfp0qUL77//fpHOEBVFUR42/fv3p2XLltYehlKOZb+h0WQysXz5coYOHUqbNm345ptvSEhIyPO55n8NBgPXr18nMDCQnj170qpVK/bv38/06dOZN28eJpMpI6jMLbjs1KkTBw8eJDk5mc6dO+c7TpPJlGV/ee0zs7FjxzJ27Nh8n2NmMBjw9/cv0HMVy/D0hLAwbXXF8lL+MQuISP98PvCxlPI7IcRbwBghxFpgDtAaSAaOCiE2A32Be1LK4UKInsBiYEhxBvLEE08QEhLCrFmzaNSoER9++CFDhgxRZ3WKolhVSkoKt27dylgSuTRERERkuaxeEFJKC42m5EVERJCamkqVKlXUJXALcHBwIDk5uVj7iIqKIiAggOTkZA4fPkyDBg3yff4TTzyBs7Mz77zzDkuXLmXdunX079+fvn37EhkZSWhoKP7+/kgpadOmDYcPH84RoD/22GNs2bKF5OTkAgW//v7+bNq0CZPJxLVr13LtR52UlJTjOEr5YG6p5+xcDoJqIUQ9oAHwS/qmLsC49M9/Av4FSOColDIq/TV/Au2BboB5iaJdwJclMSZ3d3c++ugjhg4dygsvvMD69ev55JNPqFatWknsXlEUpVBiY2NZu3YtdnZ2eHp6ltpJflEvPZcXCQkJnDlzhqioKEaMGIGvr6+1h2RTGjduzMaNG4u1jwEDBjBr1iz8/f0ZMGAAS5cufWAr3EcffZQ9e/bw/fffU6VKFV5//XXc3d3x8PBg8ODB+Pj48O6777Jp0yZq1KiRUTpi5ubmhoeHB05OTgXq+FGvXj2qVavGSy+9RJ06dahevXqOAPrs2bM0adKk8N8AxerMi7/odCUTVOss2SZJCPEL8DIwCrgKvCOlrJL+tSC0UpB/A62klJPTty8AwoBngDeklKfSt4cBQVLKHKfGx44dM7Vo0aLQl1KSk5N5++23WbZsGbNnz2bcuHFlemUoW7tUZGvzyY0tz9GW52Zm6TmmpqayYsUKGjRoUOqLVdn6+2eeX0hICDt27OCFF16gQoUK1h5WibLme3jx4kW6du3KkSNHrHL8vJw5cwZnZ2eCgoJYv349JpOpWD3Wk5OT2bNnD7169SIhIYHnnnuOjRs34uBwPyc5efJkunbtyj//+c9C7duWfwfLy9x274ZFi6ByZejfH5599sGvOXbsGC1atMg1+2GxTLUQ4jngoJTyihAit6fklY4p7HZAewNjYmIwGAyFGKVW/9SpUyfmzZvHO++8w8SJExk8eHCZDK6LMr+yzNbmkxtbnqMtz83M0nO8ffs2qamp1K1bt9S/l7b+/pnn5+3tja+vLydOnKBu3brWHlaJsuZ76OLiQlxcHGFhYWXqSq+joyPvvPNORiZ69uzZxd7f+fPn+f7777Gzs2PMmDFZAmqj0cjhw4cZM2ZMod8LW/4dLC9zS0zUc/duBfT6NOLiEjAYEou1P0uWfzwF1BJC9AECgSQgVgjhIqVMAAIAQ/pH5ttpA4BDmbafSr9pUZdbltrM39+/yGdG/v7+/Pbbbxw8eJB58+bxySefMHPmTEaPHo1ery/0/iylvJz5FZStzSc3tjxHW56bmaXnGBcXh4+Pj1W+j7b+/mWeX5UqVdDr9TY3X2u/h6NHj2bVqlXMnTvXamPIrk6dOnz++eclus9XX301z6/99ttvVKhQgR49ehS6dMva758llZe5RUdDYqJW/uHn50JBhvz333/n+TWLragopRwipWwlpXwM+AKt+8cuYGD6UwYC24HDQCshREUhhDtaPfU+4L/AoPTn9gX2WGqsZm3btmX79u1s2LCB7777jrp16/LFF1+QkpJi6UMriqJw/fr1Qi11PGDAAK5fv27BEd0XFxfH448/XirHun79Os2bN2fkyJGMGDGCUaNGcfDgwSLvT92Mbhmvv/46mzdv5r333uPAgQOEhYWRmppq7WFZlMlk4vbt2xw7doyvv/6aqVOnsnDhQvUzVk6V98Vf3gTWCiH+CYQCa6SUKUKIacAOwATMk1JGCSG+BXoIIfajZblHl9Yg27Vrx3//+1/+/PNP5s6dy1tvvcWsWbMYOXJkmcpcK4qi2KqaNWuybt06AK5du8a4ceP44IMPqFevnpVHppgFBARw8OBB3n//fT788ENCQ0O5desWVatW5ZFHHsHX1xc3Nzfc3NxwdXXF1dU1y+PM/2be7uTkZLEgNSUlhbi4OOLi4oiPjyc+Pj7jcW7bzI/v3LlDWFgYYWFhuLq6UqNGDWrXrs369esfeHOlUnZlXvylJO7bLpWgWko5N9PDHrl8fROwKdu2NOB5y44sf+3bt2fnzp3s27ePuXPnsmjRImbNmsWIESNUcK0oikVNmzaNKlWqcObMGQwGA++99x4NGzZk4cKFnDhxgpo1a2ZcRQsPD2fmzJmkpKRgb2/PwoUL8ff3p2PHjvTq1Yvg4GB8fX157733SE5OZsaMGdy6dQsHBwdmzZpFvXr16NGjB0OGDGHPnj0kJyfz1VdfAfDKK6+QlJREixYtMsb2119/8cEHH+Dg4ICfnx8LFizgxIkTrF+/Hp1Ox+XLl+nVqxcvv/wyZ8+eZd68eeh0Opo3b87UqVO5ePEi8+fPR6fT4ebmxpIlS/D09Mzze/HII48wbtw4NmzYwPz581m8eDGnT58mKSmJoUOH0qtXLwYNGsT27dvR6XRs3bqVw4cPs2jRIsu+SQpBQUF88sknGY+Tk5MJCwvj6tWrGAwGYmNjiY2NJSYmhtjYWMLDwzM+j42NJS4uLse/iVdAXhMAAB/7SURBVInFq2vNj4ODAx4eHri6uuLu7o6bmxvu7u4ZHUQyPw4MDMz43MfHh5o1a1KjRg3c3d0tNj6ldLm5QXw8JCSUz0x1udSxY0d2797N3r17efPNN5k9ezbPPfcco0ePtrkbXxRFKTuSk5NZtWoVGzduZMuWLTg5OXH8+HE2bdpEeHg4PXpoOYqlS5cyZswY2rVrxx9//MEnn3zCwoULuXXrFn369GHWrFm88sor7N27FyklHTt2pH379sTHx7No0SK++uor0tLSqFWrFi+88AKTJ0/m0KFDhIeHU6dOHWbMmMG2bdv45RetO+rChQtZvXo1FStW5J133mH79u34+vpy+vRpfv31V4xGI48//jgvv/wyCxcuZN68edSrV48pU6Zw48YNFixYwPz586lRowbr169n/fr1vPTSS/l+Lxo1asQ333xDUlISAQEBTJ8+ncTERLp3786gQYMQQnDixAkeffRRdu/ezdNPP23x90fJydHRkaCgIIKCgoq1n/JSk6uUb3Z24O4Od++qoLrUderUiT179hAcHMyaNWvo1KkTQUFBPP/88wwePDjfTIuiKEphmVcxrFq1KqdPn+bixYs0bdoUOzs7/Pz8MrounDhxgitXrvDpp5+SlpaGd/p6u66urjRr1gyAZs2aceXKFU6cOEFERATfffcdTk5OGavYZT9eTEwMly5dolWrVgC0bt0agDt37hAaGsorr7wCQHx8PF5eXvj6+tKgQQNcXFyyzOHKlSsZJRvvvPMOAKdPn87oypCcnJyxNHR+4uLisLe3x8nJiaioKJ599ln0ej2RkZEA/OMf/2Dbtm00atSI69evk0fXKUVRlCw8POD2bRVUW03jxo157733WLx4Mdu3b2f16tX861//ok+fPowePZrHH38cOzuL3QOqKMpDIrclkzP/bTEajQDo9XqWLl1KlSpVsrze/HXz63U6HXq9ntmzZ+Pr65sjE5jf8TIfq0qVKhn1zmaHDx/O0mrMLLe/hS4uLqxdu7ZQdbMhISHUr1+fI0eOcOjQIdatW4der6d58+aAlvRYunQphw4dUjWuiqIUmKcnGAwqqLY6vV5P37596du3L3fu3GHDhg1MmTKFO3fuMGrUKEaNGkXt2rWtPUxFUWxEzZo1WbNmDSaTCYPBwI0bNwBo2rQpu3btYtiwYRw8eJA7d+7Qt29fEhMTCQkJoVGjRpw8eZJnnnmG1NRUdu3axfDhw7l48SL79u3j+edzv32lZs2ahISE0KtXLw4fPgyQsYDKxYsXqV27NuvWrcvIZucmKCiIU6dO0bRpU2bMmMHYsWOpV68ee/fupXPnzvzyyy94e3vTtm3bPPdx7do1Vq9ezVdffUVwcDBVq1ZFr9eze/du0tLSSE5OxtHRkVatWrFs2TLef//9on6LFaXMSElJISEhkbQ0I0aj5Rbqs4SIiCicnFwL/To7Ox16vT3Ozs65nqRbgoeH9q8KqsuQSpUqMXHiRCZOnMipU6dYvXo17dq1o06dOvTr14/evXvTqFEj1XZHUZQiq1evHnXr1mXIkCHUqFEjo6zi5ZdfZsaMGfzyyy/odDoWL14MQMWKFdm6dStvvfUWlStXpkOHDrRs2ZLp06czceJEHBwcmDlzZp7He/rpp5kwYQKjRo3KcqPiokWLmD59ekbWesiQIZw4cSLXfcycOTOjj3GzZs0ICgpi5syZzJ49m5UrV+Lk5JRrEHzlyhVGjhxJcnIyaWlpzJkzB39/fzw8PFi5ciUjRoyge/fudOnSJaNL05NPPsnp06epXr16uVh4QlHyEhkZxa1bieh0LtjZOZS72CEqygkXl8IvomcymTAaU4E7+Pt74O7uVvKDy8ZcuVvmlykvLUVdptzSkpOT2bVrV8YNPqmpqfTu3ZvevXvTrVu3HHcQX79+nR49erB58+aM/yx/+OEHQOtHW5z5zZw5kyZNmjBkyBAAYmNj6d+/Pxs2bKBy5cpF2ue0adN4+eWXCQwMzPd5I0eOJD4+HldXV1JSUmjfvj3jx48nPDy8TL1fllDWfiZLki3PzczSc7xw4QJHjhxh+PDhFtl/mzZtMjLM2dni+7ds2TICAgIYOHBglvnt3LkTV1dX2rdvb+URlixbfA/NbHluZnnNMSEhgdDQWDw8KpW7YNrs5s2bVK1a9cFPzENaWhoJCXeoWdPb4t3W+veHLVsgLg5cC5Bcz2+ZclX4a0GOjo707t2bf//731y+fJmdO3cihGD58uXMmTMn19fUrl3bIpcuJ02axJdffkl8fDwAX3zxBc8880yRA+rCWrx4MevWrWPt2rXcunWLDz/8sFSOqyhlmV6vJzk5z4VilUJ48cUXuXjxYq5dP5KSklQbVKXciIlJQK93L7cBdUnQ7u9wIT4+4YHPLS5V/lEO6XQ66tWrR7169XjttdfyfF7Dhg1JSEjg4MGDOWoMN2/ezL59+7Czs6N79+4MHTqUIUOGsHXrVsLDw+nSpQt//vkn3t7e9OvXj02bNuHoqF1+qVy5Mv/4xz/48ssvGTRoEDt37szIgufWc9bOzo6pU6cSHh5OfHw8r7zyCl27dmXkyJHUqVMHgNdeew0vLy+2bNnC119/jV6vp169erz55pt5zs/R0ZHp06fzxBNPMHjwYA4cOMDSpUvR6/V4enry0UcfMWXKFIYMGULbtm1JTk6md+/ebN++vdTqqxSltFSqVIlbt24RHh6Or69vie8/ryy1LVqxYkWu22NjY7l06RKNGjUq5REpStEkJKSqk0DA3l5PUpLlg2pPT7C31z6KS0UpZdDkyZOZOnUqjz32WMa2sLAw9u7dyzfffAPA0KFDeeKJJ3B3dyc6Oprjx4/TsmVLTp48SbNmzfDy8soIqM3GjBnDgAEDOHfuHBMmTMAp/bQst56z7du3p0OHDvTv35+wsDBeffXVjDvq69Spw9ChQzP2u2rVKlasWIGfnx/ff/89iYmJOOezNJGrqyt+fn6Eh4cTFRXFe++9R7Vq1ZgyZQr79+/PaI3Vtm1bDh48SKdOnVRArdgkd3d3nnrqKb7++ms6deqEh4dHqWWnIiIiiImJKZVjWUNERATh4eEcOHCApk2bUqNGDWsPSVGKbdeun/j++zXExsZgNKbh5VWJwYPH0KlTTyZNGknbtl0YMmTsA/dz+3Y4r78+ik8++Q/u7nm3A46KiuTo0f107963JKdRIDqdjtKoUPbwKJksNaigukyqUaMGDRo0YNu2bRnbgoODuX79Os899xyg9Wy9ceMGLVu25NSpUxw/fpxRo0Zx8uRJjEZjrnfjOzs7M2bMGDZs2EDv3r2BvHvOenp6EhwczLfffoudnR337t3L2E+TJk2y7LdPnz5MmDCBfv360adPn3wDajNzz1lvb29mzZpFWloaYWFhPPbYY/Tr1493332XlJQUdu/eTf/+/Qv/TVSUcqJRo0Y4Oztz7tw5Ll68WGrHfdDJb3mXmJiIl5cX7du3z+jVrSjl2caNK9myZT1z5nxIw4ZaK8ljxw4wf/5kEhLiC7WvypV9Wbt2+wOfd+LEIXbv/tkqQXVp8fRUQbXNmzBhAmPHjmX48OE4ODig1+t57LHHctRbJyUlcfLkSUJDQ5k+fTrff/89qampPP7447nut1q1alluLMyr5+zmzZuJiopiw4YN3Lt3j2eeeSbLazL75z//Sd++fdmxYwejRo3i66+/xsvLK8+5RUVFER0dTZUqVRg1ahQrVqwgKCiI+fPnA9oysu3bt+fgwYNcuHAhow+totiq2rVrl3r7TVu/EczW56c8XGJjo1m79mPmzVuWEVADtGjRjrfe+gxPz4r8+uv3REdHMXv2BC5cOIezswtz5y6lRo3arF69nLCwK9y7F4GXlw8vvDCZoUO7sWXLQdzdK7B8+UL++utP7O3tcXV1Z9KkOSQkxPPhh3NJTk5m7Nh+rFq1la5dBW+8sYiffvoWg+EaAwaMJDCwBv/5z5fcvn2TIUPGZmTK9+79L2vXfkxychJGo5GRI8fTq5d2z8NPP33Lpk2rM67MDR36YsbXcnP7dgTx8ak4Ozvg7OyAXu+Ag4P2Udx1QUoyU61uVCyjKlWqRPfu3TPKPRo2bMjJkydJSEjAZDKxcOFCEhMTad68OceOHcPJyQk7Ozt0Oh1nz57NkU3OS+aeswDr1q3j/PnzREZGEhgYiJ2dHTt37szzZiqj0ciHH35I5cqVef7552nWrFm+raxSU1N56623eO6557CzsyM2NhY/Pz+io6M5fPgwKSkpgLY62rJlyzJWcVMURVGUh9WZMycAHa1bd8rxtYYNm1OtWk0ADh3awxtvLOKbb36jZs06fPPNFxnPO3z4DyZNepNZs7Im544e3c+xYwdYvfoX1qz5lREjxvHHHzto1qwN/fuPoFmz1qxatTXj+efPn+bTT79j9uwPWLv2E65evcDnn//AjBnvsmrVh6SkJBMfH8vCha/x2mvzWLt2OxMnzuLdd2cSHX2PhIQ4PvpoLm+/vZLVq7exZMlK9u7dTmpqSp7zT0xMIzXVg7g4V27dsuP69WSuXo3m4sVbXL58kxs37nDnTiQxMTEkJCSQkpJCQbvbqUz1Q2LMmDFs3LgRAH9/fwYOHMjw4cOxt7ene/fuGZduExISMm5qrFOnDsHBwTnqqfOTW89Zd3d3XnrpJU6ePMnAgQOpWrUq//73v3O81s7ODjc3N4YMGYKHhwfVqlWjfv36OZ43ffp0XFxciIqKokuXLjz//POEh4czbNgwhg4dSo0aNXjhhRdYvnw5Xbt2pVGjRkRFRdG3r+1eclIURVGUgoiOjsLbu9IDn9eu3eN4elYEoG7dBhw9+mfG16pXr50RfGfm5eXD3bu32LFjC23bdqF9+260b98tz2N07vwkALVqCYzGNLp0uf84JSWFyMi7uLq68/PPx3B01KLV5s0fIy0tlZs3b1CrVl3c3T358ceNPPnkAB55JIhFiz574NzMV+2zMxqNpKSkkpiYSlpaKpCAyZSKTpeGXm+Xkd12dLyf3c68eqyqqbZRgYGBLFmyJOOxm5sbBw4cyHj89NNPM378+ByvM2ezQbvJMT9t2rShTZs2Wba1bNmS7777LsdYfvrpp4zH/fr1A7RFJrJ78cUXefHFF/M8ZvbSksxeffVVXn311YzH5vrpK1euEBAQoFakVBRFUR56FSp4cedOOEajMd9yh8w3HdrZ2WM0GjMem4Pt7IRoxJtvfsQPP6xj+fKF1KxZh/Hjp9O4cYtcn29eY8PeXhuHm1vWx0ZjGkajHd9+u4rff99OcnJSRpmHyWTEwUHPsmUbWL/+cyZOHI6zswsjR47nqacGFfTbkYWdnV16IjFnMjEtLY3ExFTi4lJJS0shLS02PdjW4exsT8WKrnh6uqugWrFdGzdu5D//+U+WEwxFURRFeVg1bNgcOzt79u37L507P5Hla4cO/UF8fFyx9t+mTWfatOlMUlIi69d/zsKFr/Ptt78XeX/79u3gxx83sHz5Rvz8qpGYmMCTT96/Ybh69SBmzHgHk8nEoUO/M3v2yzRr1pqAgOrFmgdomevUVC1rrWWutQ+dLg0XFzucnZ0yMteOjo5UqwZBQcU+LKBqqpUyaOjQoWzevBkhhLWHoiiKoihW5+bmztixk1i6dAHHjx/M2H78+EHefntasdrObtu2ieXLF2I0GnFycqZBg/vBr4ODntjY6ALXJ5vFx8fh7V0ZX98A0tLS2LhxJXq9noSEeC5ePM8bb4whPj4WnU5H/fpN0esdgYK3EzWZTKSkpJCQkEBsbAwxMZHExt4hNvYmycm30OujqVgxGX9/Ox55xJVatbypU6cqNWv64ufng5dXBdzc3NDr9dStC5s3F2p6ebJoploI4QqsBnwBZ2ABEA28BaQAccBIKWWkEOINYBBgAuZJKbcJISoAG4AKQCwwTEoZYckxK4qiKIqilDXPPDMKb+/KrFz5PtHR93Bw0FO5clXefPMjmjVrww8/5F1qmZ+OHXtw9Oh+Ro7siV7vhLOzM9OnvwNA69Yd+eGHtQwc2IE1a7Y9YE/3dejQg1OnDjNsWHcqVvRizJhX6dSpFwsWvM4HH6xBiMb83//1z6iRHjfuDQICHsl3n/HxMdjbm4BU7OyMODra4+HhgJOTA3q9U4l1AykOXWHPPgpDCDEEqC6lfEcIUR3YiRZUD5dSSiHEDMAIfAtsAtqiBdD7gIbALCBeSvmuEOJFIEhKOTX7cY4dO2Zq0aKFzbdQsrX52dp8cmPLc7TluZnZ8hxteW5g+/MD256jLc/NLK85hobeQqfzLteLnt28eZOqVasWax+JiYm4ucXj6+tNQkICRqMx1xsNS9uxY8do0aJFrml1i75jUspvMz2sBlwHkgGf9G1egAS6Ar9KKZOB20KIUKAB0A0Yk/7cn4CfLTleRVEURVEUpWxxcXGx9hAKpFROg4QQB4BAoA9a2ccfQohIIBKYDkwBbmd6yS3AD6iaabt5m6IoiqIoiqKUKaUSVEsp2wkhmgFfowXJ/aWUfwoh3gNy9ojLvVo93wp2g8FATExMvguPlHe2Nj9bm09ubHmOtjw3M1ueoy3PDWx/fmDbc7TluZnlNcdbt+5iNCam37xXPsXGxnLz5s1i7SMhIR5Pz0TS0hJLaFSWZ+kbFVsAt6SUYVLKk0IIB6CrlNLcjXwnMBz4Dcjc6iEAMKR/VAWiMm3Llb+/v83XYNna/GxtPrmx5Tna8tzMbHmOtjw3sP35gW3P0ZbnZpbXHF1c3Lhzxw43Nw8rjKpklERNdUxMJNWqOeHq6lpCoyoZf//9d55fs/Qtkp2A1wGEEL6AOxAihGiQ/vVWwAW0oPopIYSjEMIfLYA+C/wXrSMIwED4//buPcjqso7j+HtZbkpokU5iojhqH8zMDK8hIkglTXaZ0AQzLVOn6AKmdLHyNmjTeI2YMYTC1KzEytLSFO8KingpTb8VqaFpKCbDIpNctj+e57DHdVfYPXvOb8/h85rZWfZ3ztn9PvzO7znf3/N8f8+Pm6ocr5mZmVlhBg8eRJ8+q1mzZk3RoRSitbWV1atbGDjwtY13jq4X1S7/uAyYK+luYCtgCrACuFzSWuBl4PMR8Yqky4G7SEvqfTEiNkj6IXBVfv0rwGeqHK+ZmZlZYfr27cuwYUNYvnwlLS0rgeJWuuiu1atfoqWlu3GvY5tt+rPddm8vdHm87qj26h9rgMkdPDSqg+fOBGa229YCfKI60ZmZmZn1Pv3792ennbZn/fr1r7vVeL0YMOBVdtyx49uib0pzc3PdJdMl9bsIopmZmVkDa25uLnRN5u7q16/fxhu7bEnq81TAzMzMzKwXcVJtZmZmZlYhJ9VmZmZmZhVyUm1mZmZmViEn1WZmZmZmFXJSbWZmZmZWISfVZmZmZmYVclJtZmZmZlYhJ9VmZmZmZhVyUm1mZmZmViEn1WZmZmZmFXJSbWZmZmZWISfVZmZmZmYVclJtZmZmZlahvtX85ZK2BuYB7wAGAucCNwNXALsDq4CJEfFfSccCU4ENwOyImCupX379LsB64HMR8c9qxmxmZmZm1lXVHqk+EngwIsYARwMXAScBL0bEAcAvgdGSBgHfA8YDhwHTJA0BJgOvRMQhwAzg/CrHa2ZmZmbWZVUdqY6IX5b9OAx4lpRon5kfnw0gaRywOCJW5p/vBUYBhwM/y6+/FfhJNeM1MzMzM+uOmtRUS7oP+DmpvGM4MEHSHZJ+kUekdwBeLHvJcmBo+faI2AC0Supfi5jNzMzMzDZXTZLqiPgA8DHgqvw3IyIOAx4DvtXBS5o6+VWdbTczMzMzK0y1L1QcCSyPiGUR8YikvqQLEe/MT7kZOBu4kTQqXfJOYBHw77z90XzRYlNEvNbR31qyZAkAzz//fDWa0ms0WvsarT0daeQ2NnLbShq5jY3cNmj89kFjt7GR21bSyG1s5LZ1pqpJNXAoaeWOqZLeAbwFuAw4AvgpMBII4H5gjqS3AutI9dRTgW2Ao0jJ95HA7R39kZEjR3oE28zMzMwK09Ta2lq1Xy5pK2Au6SLFrUij0gtIS+oNBVqA4yPiP5ImAqcDrcDMiLhaUjMwB9gD+B9wQkQsq1rAZmZmZmbdUNWk2szMzMxsS1Dt8o+6JemPwL7AFyLihqLj6UmShgN/AZaUbX4kIqZ28Nx5wPze/H+Q2/MUcHBELCrbvhh4PCJOKCi0HidpEmmZyaER8VLR8VRqC9t3DdunlGyqjZKeBt4TES01Dq0ijXbcdUTSFOA40qzwVsC3I+LWYqPqOZJ2Ay4hXafVDNwLTI+INR08d2dgh4h4oLZRdk/uR5cC+0bEn/O2EwAiYl5hgfWAdvlKE6lE+LyIWFBkXJ3xbco7ERETgJuKjqOKIiIOK/t6Q0JdZ/4JTCr9IGl34G3FhVM1k0md58SiA+lBW8S+2wL6lEZuYyMedxvlxOUkYHS+WduxwHcLDaoHSeoDXAdcEhH7R8T7gaeB2Z28ZBxwQI3C6yl/Bb5fdBBVUspXxgAnAzMlvbfooDrikepN6yPpBmAQsDXwlYh4QNI/gB+TLqAcAIyPiFUFxlkxSTOA0aSz+B9FxDX5oSMlTQW2J90q/qGiYnwTi4APSmqOiPXAMcCfgK0lHQt8hXSr+8cj4uR8Fj8B2BE4JiKeKyjuzZbXdD8A+DwwHbhM0h3AYmA/0ujSp4FdgdNIFwZ/PSKWdPgLe4+u7rv7gckRsVTSTsD1ETGysOi7brikCyLiNElvAR6LiOEN1qd02Maig+qONznuvhwRj0n6MrAd6a6/V5Euzr8PODoidiom6i7bFhgI9AfWRsTfgTGS3g38iHSt0yrgBOCtwLXA34B3kW7c9qUigu6CDwF/aze6eREQknYhXefVDDwDfB04C1gr6V8R8btaB9tNS0h95riIuK20UdLXSH0qwG9J16ktjIh35cePB/aJiFNrHXB35H5/BjBF0p9JJ7wbgN9GxIV5wYurSQtdrCR9vtdsZswj1Zs2HJgTEWNJa2p/I2/vCzwZEYeSpq8PLya8niFpNLBLbs844Dv5QlOA1ogYD5yRv3qjtaRVZMbmnz8O/CH/exBwRESMAkZI2jtv3xk4tB4S6uwo4AbSSOAekt6Zt6/I78+rSavmAOwNfLgOEmro+r67knTyAGn9+2toDA3VpzSQzo679o4ABkbEQcBtpBP2uhARjwIPAE9Jmifp6LwE7kzglIg4nHSiOyW/ZB/gm6STjf0l7VNE3F0wAni4fENEtJLulTEPuCgiRpOW8R2et11aRwl1yRnADEmlFdGaSCdCo/PXp0knRcsk7ZWf83Fgfo3jrNSDwEdIM0eHkFaa+1Qu2zkNuDnvzwXA+FoG5pHqTXsGmCjpNNLo0eqyx+7O358lnenXE+XRlpLbgYPKtvUhrdBSegxSp9ubp5euBSZJegF4jrS6DMDLwPWSAPYE3p63L84da72YDJwbEeslzactsSzVPS4kjb4DPBoR/6t1gBXoyr67hrTM5nnAR0nT1o2invuURtXZcdfenqQ6XUgnhetqEVxPiYjPStoT+DBpRP6LpBmwy/PxN4A0KwZp1HcZQJ45EvBozYPefK2kkej2moAx5LKeiJgOIGlCB8/t9SLi75Ieou09+jZgUUSsA5B0L+mE6NekGeilwF6kz456Mpj0GbEHbfnJYNIJ0fvJpUsRcXGtA3NS3U6eOng132SmD/A+4LmIOE7SfsAFZU8v7zTrba3s0l0tAZA0DZgbEeeXPyl3puWJZ29OQm8lTVU+T9uZd39gFml664VcylPS4Y2EeqNc5nAgcKGkVlIp0ivAq7TNODXRtn/qpm3ZZu+7iFgh6VlJ+wN9evtMQwd9SnlJR792T6/LPqWLbawbb3LclQ+ulNrXRCpTgnQc9ua+8nXyyOaAiHgCeELSTOBJUgnZ2PLBh1x/XT7LXd7v9FZPkk4SNspt3gt4nMaatT+HNOgwi7RfyvuR/qRSid8AvyKN1N9cZ4NLkE72BgI3RsQp5Q9IOp0C92cjvZF6yizgk/mAG0HaeUvzY58kvSkb0f2kM9c+kgbmTrVkdP5+EPBE7UPbPPkD/S7gROD3efNgYF1OyoaR9mc97sNJwKyI2Cci3kcaGRoC7Ebb/jmYdLFK3enGvruSdKzWw7Rl+z5lCG2zQIcUFlXPatQ2dnbctdDWvlH5+1LSexRSDW89DVqdCMwuKxvYlpQf3Eoqa0HSMZJKJUm7SRqaLwA8kN7f79wC7CrpI2XbppFmhhaTSh6RdI6k8aTEs57230YR8R9S7fQpwH+BgyX1zeU8BwIPR8S/SQn3JOqjD90or+JyKmmGYaykrSU1Sbo0l6yW789Tcs14zTipfqOzSHWp95Km8M4BTpX0J1LiuYOkzxUXXnVExH2kaZSFpOTmdbW4kn5P+r84t/bRdcm1wEMRsTL/vAK4JS/RdibwA+Bi6m/0bBLpLqTAxnrAK0jLQ+0s6SbSNPUlxYTXIzZr30nqR0q8d6c+PhDO4vV9ylzayq9GkD7A691ZNGYbOzvuFgGzJN1IqsOFVHe9jaR7SCe6K2ocayV+CiwH7pd0G3A98NX89W1Jd5Jqc0t1yUEqv1oI3BcRj9c84i6IiA2kspaTJT2YSyRGkNp3JnBSbuOutH0OTs8XStejC0g33YO0wsmdpBOIORHxTN7+O1Jiek/tw+sySbpD0kJS+d+UiPgX6fPuLtLx+EJeHvFS4AO57/koqdSlZnzzF7M6Vr4KQdGx1JKksaQ7rNZ0FMKsM3mVkLERcV2+mHFBRIwoOq6elss/5kfEfpt6rtmWpi6nN8xsyyXpbNKo06eKjsWszCrg6LKazmkFx2NmNeaRajMzMzOzCrmm2szMzMysQk6qzczMzMwq5KTazMzMzKxCTqrNzMzMzCrkpNrMzMzMrEJOqs3MzMzMKvR/HSsFdyTgPBIAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12, 4))\n", "births_by_date.plot(ax=ax)\n", "\n", "# Add labels to the plot\n", "ax.annotate(\"New Year's Day\", xy=('2012-1-1', 4100), xycoords='data',\n", " xytext=(50, -30), textcoords='offset points',\n", " arrowprops=dict(arrowstyle=\"->\",\n", " connectionstyle=\"arc3,rad=-0.2\"))\n", "\n", "ax.annotate(\"Independence Day\", xy=('2012-7-4', 4250), xycoords='data',\n", " bbox=dict(boxstyle=\"round\", fc=\"none\", ec=\"gray\"),\n", " xytext=(10, -40), textcoords='offset points', ha='center',\n", " arrowprops=dict(arrowstyle=\"->\"))\n", "\n", "ax.annotate('Labor Day', xy=('2012-9-4', 4850), xycoords='data', ha='center',\n", " xytext=(0, -20), textcoords='offset points')\n", "ax.annotate('', xy=('2012-9-1', 4850), xytext=('2012-9-7', 4850),\n", " xycoords='data', textcoords='data',\n", " arrowprops={'arrowstyle': '|-|,widthA=0.2,widthB=0.2', })\n", "\n", "ax.annotate('Halloween', xy=('2012-10-31', 4600), xycoords='data',\n", " xytext=(-80, -40), textcoords='offset points',\n", " arrowprops=dict(arrowstyle=\"fancy\",\n", " fc=\"0.6\", ec=\"none\",\n", " connectionstyle=\"angle3,angleA=0,angleB=-90\"))\n", "\n", "ax.annotate('Thanksgiving', xy=('2012-11-25', 4500), xycoords='data',\n", " xytext=(-120, -60), textcoords='offset points',\n", " bbox=dict(boxstyle=\"round4,pad=.5\", fc=\"0.9\"),\n", " arrowprops=dict(arrowstyle=\"->\",\n", " connectionstyle=\"angle,angleA=0,angleB=80,rad=20\"))\n", "\n", "\n", "ax.annotate('Christmas', xy=('2012-12-25', 3850), xycoords='data',\n", " xytext=(-30, 0), textcoords='offset points',\n", " size=13, ha='right', va=\"center\",\n", " bbox=dict(boxstyle=\"round\", alpha=0.1),\n", " arrowprops=dict(arrowstyle=\"wedge,tail_width=0.5\", alpha=0.1));\n", "\n", "# Label the axes\n", "ax.set(title='USA births by day of year (1969-1988)',\n", " ylabel='average daily births')\n", "\n", "# Format the x axis with centered month labels\n", "ax.xaxis.set_major_locator(mpl.dates.MonthLocator())\n", "ax.xaxis.set_minor_locator(mpl.dates.MonthLocator(bymonthday=15))\n", "ax.xaxis.set_major_formatter(plt.NullFormatter())\n", "ax.xaxis.set_minor_formatter(mpl.dates.DateFormatter('%h'));\n", "\n", "ax.set_ylim(3600, 5400);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Customizing Ticks\n", "\n", "Matplotlib's default tick locators and formatters are designed to be generally sufficient in many common situations, but are in no way optimal for every plot. This section will give several examples of adjusting the tick locations and formatting for the particular plot type you're interested in.\n", "\n", "Before we go into examples, it will be best for us to understand further the object hierarchy of Matplotlib plots.\n", "Matplotlib aims to have a Python object representing everything that appears on the plot: for example, recall that the ``figure`` is the bounding box within which plot elements appear.\n", "Each Matplotlib object can also act as a container of sub-objects: for example, each ``figure`` can contain one or more ``axes`` objects, each of which in turn contain other objects representing plot contents.\n", "\n", "The tick marks are no exception. Each ``axes`` has attributes ``xaxis`` and ``yaxis``, which in turn have attributes that contain all the properties of the lines, ticks, and labels that make up the axes." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Major and Minor Ticks\n", "\n", "Within each axis, there is the concept of a *major* tick mark, and a *minor* tick mark. As the names would imply, major ticks are usually bigger or more pronounced, while minor ticks are usually smaller. By default, Matplotlib rarely makes use of minor ticks, but one place you can see them is within logarithmic plots:" ] }, { "cell_type": "code", "execution_count": 99, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "plt.style.use('classic')\n", "%matplotlib inline\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 100, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = plt.axes(xscale='log', yscale='log')\n", "ax.grid();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see here that each major tick shows a large tickmark and a label, while each minor tick shows a smaller tickmark with no label.\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "These tick properties—locations and labels—that is, can be customized by setting the ``formatter`` and ``locator`` objects of each axis. Let's examine these for the x axis of the just shown plot:" ] }, { "cell_type": "code", "execution_count": 101, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n" ] } ], "source": [ "print(ax.xaxis.get_major_locator())\n", "print(ax.xaxis.get_minor_locator())" ] }, { "cell_type": "code", "execution_count": 102, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n" ] } ], "source": [ "print(ax.xaxis.get_major_formatter())\n", "print(ax.xaxis.get_minor_formatter())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that both major and minor tick labels have their locations specified by a ``LogLocator`` (which makes sense for a logarithmic plot). Minor ticks, though, have their labels formatted by a ``NullFormatter``: this says that no labels will be shown.\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Hiding Ticks or Labels\n", "\n", "Perhaps the most common tick/label formatting operation is the act of hiding ticks or labels.\n", "This can be done using ``plt.NullLocator()`` and ``plt.NullFormatter()``, as shown here:" ] }, { "cell_type": "code", "execution_count": 103, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = plt.axes()\n", "ax.plot(np.random.rand(50))\n", "\n", "ax.yaxis.set_major_locator(plt.NullLocator())\n", "ax.xaxis.set_major_formatter(plt.NullFormatter())" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Notice that we've removed the labels (but kept the ticks/gridlines) from the x axis, and removed the ticks (and thus the labels as well) from the y axis.\n", "Having no ticks at all can be useful in many situations—for example, when you want to show a grid of images.\n", "For instance, consider the following figure, which includes images of different faces, an example often used in supervised machine learning problems:" ] }, { "cell_type": "code", "execution_count": 104, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "downloading Olivetti faces from https://ndownloader.figshare.com/files/5976027 to /home/mn/scikit_learn_data\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(5, 5, figsize=(5, 5))\n", "fig.subplots_adjust(hspace=0, wspace=0)\n", "\n", "# Get some face data from scikit-learn\n", "from sklearn.datasets import fetch_olivetti_faces\n", "faces = fetch_olivetti_faces().images\n", "\n", "for i in range(5):\n", " for j in range(5):\n", " ax[i, j].xaxis.set_major_locator(plt.NullLocator())\n", " ax[i, j].yaxis.set_major_locator(plt.NullLocator())\n", " ax[i, j].imshow(faces[10 * i + j], cmap=\"bone\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Reducing or Increasing the Number of Ticks\n", "\n", "One common problem with the default settings is that smaller subplots can end up with crowded labels.\n", "We can see this in the plot grid shown here:" ] }, { "cell_type": "code", "execution_count": 105, "metadata": {}, "outputs": [ { "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(4, 4, sharex=True, sharey=True)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Particularly for the x ticks, the numbers nearly overlap and make them quite difficult to decipher.\n", "We can fix this with the ``plt.MaxNLocator()``, which allows us to specify the maximum number of ticks that will be displayed.\n", "Given this maximum number, Matplotlib will use internal logic to choose the particular tick locations:" ] }, { "cell_type": "code", "execution_count": 106, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 106, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# For every axis, set the x and y major locator\n", "for axi in ax.flat:\n", " axi.xaxis.set_major_locator(plt.MaxNLocator(3))\n", " axi.yaxis.set_major_locator(plt.MaxNLocator(3))\n", "fig" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Fancy Tick Formats\n", "\n", "Matplotlib's default tick formatting can leave a lot to be desired: it works well as a broad default, but sometimes you'd like do do something more.\n", "Consider this plot of a sine and a cosine:" ] }, { "cell_type": "code", "execution_count": 107, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Plot a sine and cosine curve\n", "fig, ax = plt.subplots()\n", "x = np.linspace(0, 3 * np.pi, 1000)\n", "ax.plot(x, np.sin(x), lw=3, label='Sine')\n", "ax.plot(x, np.cos(x), lw=3, label='Cosine')\n", "\n", "# Set up grid, legend, and limits\n", "ax.grid(True)\n", "ax.legend(frameon=False)\n", "ax.axis('equal')\n", "ax.set_xlim(0, 3 * np.pi);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "There are a couple changes we might like to make. First, it's more natural for this data to space the ticks and grid lines in multiples of $\\pi$. We can do this by setting a ``MultipleLocator``, which locates ticks at a multiple of the number you provide. For good measure, we'll add both major and minor ticks in multiples of $\\pi/4$:" ] }, { "cell_type": "code", "execution_count": 108, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 108, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ax.xaxis.set_major_locator(plt.MultipleLocator(np.pi / 2))\n", "ax.xaxis.set_minor_locator(plt.MultipleLocator(np.pi / 4))\n", "fig" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "But now these tick labels look a little bit silly: we can see that they are multiples of $\\pi$, but the decimal representation does not immediately convey this.\n", "To fix this, we can change the tick formatter. There's no built-in formatter for what we want to do, so we'll instead use ``plt.FuncFormatter``, which accepts a user-defined function giving fine-grained control over the tick outputs:" ] }, { "cell_type": "code", "execution_count": 109, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 109, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def format_func(value, tick_number):\n", " # find number of multiples of pi/2\n", " N = int(np.round(2 * value / np.pi))\n", " if N == 0:\n", " return \"0\"\n", " elif N == 1:\n", " return r\"$\\pi/2$\"\n", " elif N == 2:\n", " return r\"$\\pi$\"\n", " elif N % 2 > 0:\n", " return r\"${0}\\pi/2$\".format(N)\n", " else:\n", " return r\"${0}\\pi$\".format(N // 2)\n", "\n", "ax.xaxis.set_major_formatter(plt.FuncFormatter(format_func))\n", "fig" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Summary of Formatters and Locators\n", "\n", "We've mentioned a couple of the available formatters and locators.\n", "We'll conclude this section by briefly listing all the built-in locator and formatter options. For more information on any of these, refer to the docstrings or to the Matplotlib online documentaion.\n", "Each of the following is available in the ``plt`` namespace:\n", "\n", "Locator class | Description\n", "---------------------|-------------\n", "``NullLocator`` | No ticks\n", "``FixedLocator`` | Tick locations are fixed\n", "``IndexLocator`` | Locator for index plots (e.g., where x = range(len(y)))\n", "``LinearLocator`` | Evenly spaced ticks from min to max\n", "``LogLocator`` | Logarithmically ticks from min to max\n", "``MultipleLocator`` | Ticks and range are a multiple of base\n", "``MaxNLocator`` | Finds up to a max number of ticks at nice locations\n", "``AutoLocator`` | (Default.) MaxNLocator with simple defaults.\n", "``AutoMinorLocator`` | Locator for minor ticks" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Formatter Class | Description\n", "----------------------|---------------\n", "``NullFormatter`` | No labels on the ticks\n", "``IndexFormatter`` | Set the strings from a list of labels\n", "``FixedFormatter`` | Set the strings manually for the labels\n", "``FuncFormatter`` | User-defined function sets the labels\n", "``FormatStrFormatter``| Use a format string for each value\n", "``ScalarFormatter`` | (Default.) Formatter for scalar values\n", "``LogFormatter`` | Default formatter for log axes" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Customizing Matplotlib: Configurations and Stylesheets\n", "\n", "Matplotlib's default plot settings are often the subject of complaint among its users.\n", "While much is slated to change in the 2.0 Matplotlib release in late 2016, the ability to customize default settings helps bring the package inline with your own aesthetic preferences.\n", "\n", "Here we'll walk through some of Matplotlib's runtime configuration (rc) options, and take a look at the newer *stylesheets* feature, which contains some nice sets of default configurations." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Plot Customization by Hand\n", "\n", "Through this chapter, we've seen how it is possible to tweak individual plot settings to end up with something that looks a little bit nicer than the default.\n", "It's possible to do these customizations for each individual plot.\n", "For example, here is a fairly drab default histogram:" ] }, { "cell_type": "code", "execution_count": 110, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "plt.style.use('classic')\n", "import numpy as np\n", "\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 111, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.random.randn(1000)\n", "plt.hist(x);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "We can adjust this by hand to make it a much more visually pleasing plot:" ] }, { "cell_type": "code", "execution_count": 114, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", 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" ] }, "metadata": { "needs_background": "dark" }, "output_type": "display_data" } ], "source": [ "# use a gray background\n", "ax = plt.axes()\n", "ax.set_axisbelow(True)\n", "\n", "# draw solid white grid lines\n", "plt.grid(color='w', linestyle='solid')\n", "\n", "# hide axis spines\n", "for spine in ax.spines.values():\n", " spine.set_visible(False)\n", " \n", "# hide top and right ticks\n", "ax.xaxis.tick_bottom()\n", "ax.yaxis.tick_left()\n", "\n", "# lighten ticks and labels\n", "ax.tick_params(colors='gray', direction='out')\n", "for tick in ax.get_xticklabels():\n", " tick.set_color('gray')\n", "for tick in ax.get_yticklabels():\n", " tick.set_color('gray')\n", " \n", "# control face and edge color of histogram\n", "ax.hist(x, edgecolor='#E6E6E6', color='#EE6666');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Changing the Defaults: ``rcParams``\n", "\n", "Each time Matplotlib loads, it defines a runtime configuration (rc) containing the default styles for every plot element you create.\n", "This configuration can be adjusted at any time using the ``plt.rc`` convenience routine.\n", "Let's see what it looks like to modify the rc parameters so that our default plot will look similar to what we did before.\n", "\n", "We'll start by saving a copy of the current ``rcParams`` dictionary, so we can easily reset these changes in the current session:" ] }, { "cell_type": "code", "execution_count": 115, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "IPython_default = plt.rcParams.copy()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can use the ``plt.rc`` function to change some of these settings:" ] }, { "cell_type": "code", "execution_count": 116, "metadata": {}, "outputs": [], "source": [ "from matplotlib import cycler\n", "colors = cycler('color',\n", " ['#EE6666', '#3388BB', '#9988DD',\n", " '#EECC55', '#88BB44', '#FFBBBB'])\n", "plt.rc('axes', facecolor='#E6E6E6', edgecolor='none',\n", " axisbelow=True, grid=True, prop_cycle=colors)\n", "plt.rc('grid', color='w', linestyle='solid')\n", "plt.rc('xtick', direction='out', color='gray')\n", "plt.rc('ytick', direction='out', color='gray')\n", "plt.rc('patch', edgecolor='#E6E6E6')\n", "plt.rc('lines', linewidth=2)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "With these settings defined, we can now create a plot and see our settings in action:" ] }, { "cell_type": "code", "execution_count": 117, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "dark" }, "output_type": "display_data" } ], "source": [ "plt.hist(x);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Let's see what simple line plots look like with these rc parameters:" ] }, { "cell_type": "code", "execution_count": 118, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "dark" }, "output_type": "display_data" } ], "source": [ "for i in range(4):\n", " plt.plot(np.random.rand(10))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Stylesheets\n", "\n", "The version 1.4 release of Matplotlib in August 2014 added a very convenient ``style`` module, which includes a number of new default stylesheets, as well as the ability to create and package your own styles. These stylesheets are formatted similarly to the *.matplotlibrc* files mentioned earlier, but must be named with a *.mplstyle* extension.\n", "\n", "Even if you don't create your own style, the stylesheets included by default are extremely useful.\n", "The available styles are listed in ``plt.style.available``—here I'll list only the first five for brevity:" ] }, { "cell_type": "code", "execution_count": 119, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "['seaborn-poster',\n", " 'seaborn-muted',\n", " 'seaborn-dark-palette',\n", " 'seaborn-bright',\n", " 'seaborn-ticks']" ] }, "execution_count": 119, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plt.style.available[:5]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The basic way to switch to a stylesheet is to call\n", "\n", "``` python\n", "plt.style.use('stylename')\n", "```\n", "\n", "But keep in mind that this will change the style for the rest of the session!\n", "Alternatively, you can use the style context manager, which sets a style temporarily:\n", "\n", "``` python\n", "with plt.style.context('stylename'):\n", " make_a_plot()\n", "```\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Let's create a function that will make two basic types of plot:" ] }, { "cell_type": "code", "execution_count": 120, "metadata": {}, "outputs": [], "source": [ "def hist_and_lines():\n", " np.random.seed(0)\n", " fig, ax = plt.subplots(1, 2, figsize=(11, 4))\n", " ax[0].hist(np.random.randn(1000))\n", " for i in range(3):\n", " ax[1].plot(np.random.rand(10))\n", " ax[1].legend(['a', 'b', 'c'], loc='lower left')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Default style\n", "\n", "The default style is what we've been seeing so far throughout the book; we'll start with that.\n", "First, let's reset our runtime configuration to the notebook default:" ] }, { "cell_type": "code", "execution_count": 122, "metadata": {}, "outputs": [], "source": [ "# reset rcParams\n", "plt.rcParams.update(IPython_default);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's see how it looks:" ] }, { "cell_type": "code", "execution_count": 123, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "hist_and_lines()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### FiveThiryEight style\n", "\n", "The ``fivethirtyeight`` style mimics the graphics found on the popular [FiveThirtyEight website](https://fivethirtyeight.com).\n", "As you can see here, it is typified by bold colors, thick lines, and transparent axes:" ] }, { "cell_type": "code", "execution_count": 124, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with plt.style.context('fivethirtyeight'):\n", " hist_and_lines()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### ggplot\n", "\n", "The ``ggplot`` package in the R language is a very popular visualization tool.\n", "Matplotlib's ``ggplot`` style mimics the default styles from that package:" ] }, { "cell_type": "code", "execution_count": 125, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with plt.style.context('ggplot'):\n", " hist_and_lines()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### *Bayesian Methods for Hackers* style\n", "\n", "There is a very nice short online book called [*Probabilistic Programming and Bayesian Methods for Hackers*](http://camdavidsonpilon.github.io/Probabilistic-Programming-and-Bayesian-Methods-for-Hackers/); it features figures created with Matplotlib, and uses a nice set of rc parameters to create a consistent and visually-appealing style throughout the book.\n", "This style is reproduced in the ``bmh`` stylesheet:" ] }, { "cell_type": "code", "execution_count": 126, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "with plt.style.context('bmh'):\n", " hist_and_lines()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Seaborn style\n", "\n", "Matplotlib also has stylesheets inspired by the Seaborn library.\n", "As we will see, these styles are loaded automatically when Seaborn is imported into a notebook.\n", "I've found these settings to be very nice, and tend to use them as defaults in my own data exploration." ] }, { "cell_type": "code", "execution_count": 127, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import seaborn\n", "hist_and_lines()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Three-Dimensional Plotting in Matplotlib\n", "\n", "Matplotlib was initially designed with only two-dimensional plotting in mind.\n", "Around the time of the 1.0 release, some three-dimensional plotting utilities were built on top of Matplotlib's two-dimensional display, and the result is a convenient (if somewhat limited) set of tools for three-dimensional data visualization.\n", "three-dimensional plots are enabled by importing the ``mplot3d`` toolkit, included with the main Matplotlib installation:" ] }, { "cell_type": "code", "execution_count": 128, "metadata": {}, "outputs": [], "source": [ "from mpl_toolkits import mplot3d" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Once this submodule is imported, a three-dimensional axes can be created by passing the keyword ``projection='3d'`` to any of the normal axes creation routines:" ] }, { "cell_type": "code", "execution_count": 129, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 130, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = plt.axes(projection='3d')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With this three-dimensional axes enabled, we can now plot a variety of three-dimensional plot types. \n", "Three-dimensional plotting is one of the functionalities that benefits immensely from viewing figures interactively rather than statically in the notebook; recall that to use interactive figures, you can use ``%matplotlib notebook`` rather than ``%matplotlib inline`` when running this code." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Three-dimensional Points and Lines\n", "\n", "The most basic three-dimensional plot is a line or collection of scatter plot created from sets of (x, y, z) triples.\n", "In analogy with the more common two-dimensional plots discussed earlier, these can be created using the ``ax.plot3D`` and ``ax.scatter3D`` functions.\n", "The call signature for these is nearly identical to that of their two-dimensional counterparts, so you can refer to [Simple Line Plots](04.01-Simple-Line-Plots.ipynb) and [Simple Scatter Plots](04.02-Simple-Scatter-Plots.ipynb) for more information on controlling the output.\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Here we'll plot a trigonometric spiral, along with some points drawn randomly near the line:" ] }, { "cell_type": "code", "execution_count": 131, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = plt.axes(projection='3d')\n", "\n", "# Data for a three-dimensional line\n", "zline = np.linspace(0, 15, 1000)\n", "xline = np.sin(zline)\n", "yline = np.cos(zline)\n", "ax.plot3D(xline, yline, zline, 'gray')\n", "\n", "# Data for three-dimensional scattered points\n", "zdata = 15 * np.random.random(100)\n", "xdata = np.sin(zdata) + 0.1 * np.random.randn(100)\n", "ydata = np.cos(zdata) + 0.1 * np.random.randn(100)\n", "ax.scatter3D(xdata, ydata, zdata, c=zdata, cmap='Greens');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Three-dimensional Contour Plots\n", "\n", "Analogous to the contour plots contains tools to create three-dimensional relief plots using the same inputs.\n", "Like two-dimensional ``ax.contour`` plots, ``ax.contour3D`` requires all the input data to be in the form of two-dimensional regular grids, with the Z data evaluated at each point.\n", "Here we'll show a three-dimensional contour diagram of a three-dimensional sinusoidal function:" ] }, { "cell_type": "code", "execution_count": 132, "metadata": {}, "outputs": [], "source": [ "def f(x, y):\n", " return np.sin(np.sqrt(x ** 2 + y ** 2))\n", "\n", "x = np.linspace(-6, 6, 30)\n", "y = np.linspace(-6, 6, 30)\n", "\n", "X, Y = np.meshgrid(x, y)\n", "Z = f(X, Y)" ] }, { "cell_type": "code", "execution_count": 133, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = plt.axes(projection='3d')\n", "ax.contour3D(X, Y, Z, 50, cmap='binary')\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('y')\n", "ax.set_zlabel('z');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Sometimes the default viewing angle is not optimal, in which case we can use the ``view_init`` method to set the elevation and azimuthal angles. In the following example, we'll use an elevation of 60 degrees (that is, 60 degrees above the x-y plane) and an azimuth of 35 degrees (that is, rotated 35 degrees counter-clockwise about the z-axis):" ] }, { "cell_type": "code", "execution_count": 134, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 134, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ax.view_init(60, 35)\n", "fig" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Wireframes and Surface Plots\n", "\n", "Two other types of three-dimensional plots that work on gridded data are wireframes and surface plots.\n", "These take a grid of values and project it onto the specified three-dimensional surface, and can make the resulting three-dimensional forms quite easy to visualize.\n", "Here's an example of using a wireframe:" ] }, { "cell_type": "code", "execution_count": 135, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = plt.axes(projection='3d')\n", "ax.plot_wireframe(X, Y, Z, color='black')\n", "ax.set_title('wireframe');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "A surface plot is like a wireframe plot, but each face of the wireframe is a filled polygon.\n", "Adding a colormap to the filled polygons can aid perception of the topology of the surface being visualized:" ] }, { "cell_type": "code", "execution_count": 136, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = plt.axes(projection='3d')\n", "ax.plot_surface(X, Y, Z, rstride=1, cstride=1,\n", " cmap='viridis', edgecolor='none')\n", "ax.set_title('surface');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Note that though the grid of values for a surface plot needs to be two-dimensional, it need not be rectilinear.\n", "Here is an example of creating a partial polar grid, which when used with the ``surface3D`` plot can give us a slice into the function we're visualizing:" ] }, { "cell_type": "code", "execution_count": 137, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "r = np.linspace(0, 6, 20)\n", "theta = np.linspace(-0.9 * np.pi, 0.8 * np.pi, 40)\n", "r, theta = np.meshgrid(r, theta)\n", "\n", "X = r * np.sin(theta)\n", "Y = r * np.cos(theta)\n", "Z = f(X, Y)\n", "\n", "ax = plt.axes(projection='3d')\n", "ax.plot_surface(X, Y, Z, rstride=1, cstride=1,\n", " cmap='viridis', edgecolor='none');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Surface Triangulations\n", "\n", "For some applications, the evenly sampled grids required by the above routines is overly restrictive and inconvenient.\n", "In these situations, the triangulation-based plots can be very useful.\n", "What if rather than an even draw from a Cartesian or a polar grid, we instead have a set of random draws?" ] }, { "cell_type": "code", "execution_count": 138, "metadata": {}, "outputs": [], "source": [ "theta = 2 * np.pi * np.random.random(1000)\n", "r = 6 * np.random.random(1000)\n", "x = np.ravel(r * np.sin(theta))\n", "y = np.ravel(r * np.cos(theta))\n", "z = f(x, y)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "We could create a scatter plot of the points to get an idea of the surface we're sampling from:" ] }, { "cell_type": "code", "execution_count": 139, "metadata": {}, "outputs": [ { "data": { "image/png": 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Y0lMYVXL6th53mbpqn+3Dn6sXTC5fVsf6OugIQvpi8vragCB0XUxevy69eTEalm4/k85nq4ut7pPU03TzufKfyTx1sdXdCLo1ni+6OoZksdXdLIIg4PV6e7WfgRbTmWyJybKMxWJJpNp2t3I/kDoP94aB+EJIfjEm17fVv1J0yzhbf3HyHA2fbj+RTmx1n6Qsy0ctAPWmK0KuLN10Yqu7EZKTCvI1p9S5dJU6nK0FnRrFMJDRH9ierOLuHn5dtA2yp6uY2r5cj+Rr4fV6DfdCPulJbG02Gw6H4xMO/N6ISm9+o98M3Yltb+mNwOkWhT6XrlKHB4N45oNMFouS1wj0cziQFu76I/Ggv+jpeqRmP86dO5fi4mIqKipQFIUpU6YwY8aMjJ+1nrpGaJrGrbfeyiuvvILD4eDRRx9l5syZvTq2QReBrocPdXR0JIrRqKpKIBDA5/MhSVKiS0Pq2zNf/tl0v9GjEbxeL9FoFKfTicfjSXsT9IfQxePxo+aSz1oNx5Nw6w+/2WxOvMgFQcBqtSbqb+i+ymAwSCgUSsQ0Jy/odcVAc8nkk1wcq349krtGOJ1OXnjhBaZNm0ZVVRXLly/nxhtvpL29PeNxe+oa8eqrr7Jr1y527drFX/7yF2666aZeH8Ogs3RTi0LrN3cmXRr6Q3T1N3EoFEpEI+S6XkOm2+svqFgsBpCo0/BpecjzRbLvN5mePom7S7kdiAz0F4I+P1EUGTZsGIIgcMMNNzBjxoysx+qpa8Tzzz/P1VdfjSAInHLKKXR0dNDY2MjQoUOz3tegE11RFI/6zLPb7Rm3xMmn6CZ/uuuxpel6onX3+1yhi21yZIQgCBl3jtDHyNc57QuapuH3+xP/HY/HefXVl4lGvJx55nmMqKlJ/C0UCrF1yxY0YMyYMRnXz8hkDunOTVefxMlCnC6EKlk8+rJwN1hEMl/j5dOn29DQwLBhwxL/XV1dTUNDw6dDdGOxWKIegiiKWaX99VYgevo8TPXZ6nGImd5g2d6I3R2HLrb6C8lsNhOJRAZdW5hIJMLj//oje/ds55zPXkVNTQ3Lly/l2Wf+jN3ayrBKjbZ2gdY2PxVlApPGW3j4oQc5+7zfMveMz3GkuZk/Png94eAmYrE4R1rjWC0mzJZyYkolZovIFVd9h898Zm7e6zyki5jRfez6i7G7VftjVTIz1y/TfL8U8llLN5cMOtE1m80UFBQc1cUhU3pr6aYjndjqn+6yLOfFXdAdutiqqordbsdisRwVWTCYiEaj/Pj7F/CVSw5x3hyBO376PKIosOAsJwvOUFi7PkLDIY1vfLWA2lHFvL0iwrL3Q0ybovHk4z/EbLXy7H8ewiFuZsJYkZJiK06bgzPnOjnSIvP7v21C0zTefPFLPPUPiMZH8eAfXsNut/fbMSav2pvN5oR/PdVF0VNRoNTwqXzMc6CSKuKBQAC3252XfVVVVXHw4MHEf9fX11NVVdWrsQad6CZ/gh2L8K/uxLYv++mtSOs92hRF+YTY9hZ9/EzdC/F4/KikA92KyxRN01iy5N8c3LeVKdNOQ5YVLjrnENMmWjCZNDwekdtvLmZUTad75KXqIMvfDzG21kJZqchVl7ppblUwmTVa2g8TV3/L+Qv3sGxplK07BWprzCy61oOigMUict7ZTlasC/LtG4ppbonz9IsHuP6roykuHs7Fl/6AefPP792JywHpXBSpGXfJLop04VMD1c2gW/G5HC/1pZOPXoAAF1xwAQ899BCXX345q1evpqCgoFeuBRiEoqvTFwHN5qZM/k1yjd2eFsiyFdFs0KMj/H4/8Xi8R792vvyueshePB7HYrEkgtyBRGRJd8kGfr+fJx//FRvXL+W6KzQ+f3kBr729nKdfsXPdFxQEAWKdWk5VpYR+eDXDzLy2VEN3UXv9KnUHYoRjKuMn2iguaSAUDnP1dU4e+FkAQYL99XGqKztbpq9cF2bthig3fr+Z8lKREZVmyis0zjmjjZeeu4PGxiOMHTeZGTNOyNtDnA2ZxrLqYVR6Afm+LtzlWiTzSV/v7566RixYsIBXXnmF2tpaHA4HjzzySK/3NehEty/B+H1ZoPB6vQiC0G2rnt7uJ5tj0QuIA4mav7m2anqaT3JdXf2c6PUNBEFI1LbQFz3TreRrmsav7r+eb1zTgSQ3MWWcA2+Hj5Onw1PPNvHnf2q8vz5EkUeisVHm3y8EuOoSD7GYyrOvBKg7KPPa0hATx5n56xNevvhFO+0dKo/8PcLzzzUxdpzE0CoRVzHUNca454FWTphmo74phskEU0+wcPVXHRxuVlj/QYyJUyR27g+yZ2+MTVu+i90uYLcN5cf3PMHESZNzen6T6YtYpFrFeoFyq9XaZe2DdL7i/rKK+yOOuLfj99Q1QhAEfv/73/dq7FQGnejCxyE7vVkcyvTTOTUCwOFw9Ci2qfvIdk7dkVzT1mq1Istyxj7IXFm6qaUeCwsLCQQCXa7kp1tAUhSFO+/8Cnv3voHNrPG1b2nUVFvYM0uipEgiGtcYWinyo9sLaG1X2fBhjA6/xvpNEZa9FyYS0Whokqme6GDJ6gh/edzLfT/3YHeIFJWa+PatIvsPKaCpPPyXILNmWwkEVFa0RpgyFxpf1jh1pg1TkYaiQmGBxJQZZh58wMfwMht/fqCChsNxHnnKi99/mHt/PJ9zPvsDrr3+1j6fv67Ix0szXe2D5MSCTLp55EMkc0ny/HRXy2BgUIou9F5Ievpdqtja7XYCgUBW8a19iZJI3Ue6mraCICSqgfWHlaJXH0tX6jEb/29HRwdfvvpEvnJNlG/f5mHVqhhPPhmmcIyJlQei7H4xhrdZ5sKFdnwBFatV4IzTbDz+dIz6ZpVZJ5jQTCrFRyTmnFdMeQn89LZGCsstoGpYRI2oUyDghxNPNLNylUx1jZW//8HP3FNt7N2t4HILyDIcaVCo26/SeAQ62uNoMZEf31aM3SFSOcTMnjqZLXvDLLrWw3d/dB9nzD+fUaNGAQPXZ9odyS6KTLt5JPuIcxVbnK/z5vP58raIlmsM0f0v6cRWt2xTc7wzoa8+3WShy7aAeLrxe2N5a9onC+L0xcd5113XUF3tY+7pHkySwCmnWFi7Ps6Jp9qx20RKKyX+cF+YxiaF0z0ikajGjt1x7E6R2+6wU1pmpbU9SlOzyuqtYXbEROZfVcE/Fvu55io7fm+Up54Jc+HFdhxOgX11cX5zvw+7BIIksXuPgs0Ejz0RBLPAqRcXMf40K63Ncep2taGoJPzGdpsAmkBZqcSP7yjgz3/5Off978O9Pvb+oDcvg+4W7nS/fKqLIp2vOJP95sNy1p8Jn8+Hx+PJ2dj5ZFCKbuqKZTYXMl00Qldi29VvsplftvPShS6TAuL5srj0RcNoNIrJZOqV2Kaer2g0yuHGdZQPhWhUQ7QJxBUNQYRCj0jlEBOhsIDLCa++GWbJm2FOPdnGhk0KE6cU0NYus21bBJ8/TlGJQCQiEQhYmD6zDH9RIX9e3MrODWFmTBYIBDVefjXCN79fxNuvC+w7GKbBUsz482ysWdJGWLahCB0UlJmIhDVGjbIw8SQH3/xeE7+7r4IDDXGeXRLg2ze5iCugaB8XCcpVgkXyeRpoVrMuooLQc5PLY9nNI/ncDZZiNzBIRRc+vjF6K7qZiG0y+Y67TRXbnoSuLy+a7uagf17KspxRfYZ0Y6ebW319PePHSHzwYZyXXopw8skWVq6IsXZVhKu/XgzA7+9v58rLHZw138rBeoXb7/BiliSONFfyy1/t5Es32nB7LPz1IS/VtQ4i3iKaqyo45exSPMX7ONi0k9WbfOxrkvF4RDTA74tSPKaAkZMdhCMwcV4Jm1cfYuKoOEpcYNI4M6IALiu4C0SuuOEwiqpisYDNJrJvv8xdP/dSO3MDD/zuSj5/9h3Ujp6Y8bkfzKQ+W+msYn27TLp55NOnO1jKOsIgFd2+RDAAWYltb/aTzfa62ELnIlOmVmUuw8BSX0CiKGK323NaEGf5ypcIOG0MG69hBzaviTN7ipUSu4lffL+Fk06yo0QU5s9zEQhoVA0x8YWLHFg1Cw/+bSO33F2Es0CioEjilh+U8PJTcdxlFiaUf4ml/1zKnoMKzhIPc04VmXGSBVVVWfyHVprrZUbXeLA7RSJhlXhMJRoNc3BPnMOHWzF9sZC2xhjjyjXESokxo8wUF0q8sCTIb//oo6FR4YQz7Zy7UEZVm3jp6V/xrZsHppvhWFnNmcQW69UAQ6FQRnVys8UQ3X4iW3GTZTlx8fUSi5lGI+R6Xvrnql7TVhe6fMSFdjefeDxOKBRCVdVEhIbf7+/VMXdFc3MzB31LOOlcNxteiXL5FxxEwyomCcyWOI89HqCjyUJrmwqahoCAxSLQ4dW44YtOlq0IUV1lQhH/W6sgrjLEHmZ/3WZWvH4zNcMsrN0To8JTzrgZHlqagpglqBxhQ2mKs+aFFixOM9Nn2PlorRchLFMx3EzdrgjK/gCXn2UHQWLxEwEefrAEu11k5AgT9YfjiIJGsEDC7RbxeoOYrMG8xDwPRPoi4qmxxZqmEQwGcTqdn3BR6LHd2ZbKTJ7fYEkBhk+B6KZacSaTKVEaLpf7Sbffrv5/cmt1/RM+224NfbV0u8tky3Uyhc/nQzO34CgwUV5j4/VlEeafasFuF3jv/QjFpQK3Xu/hxdclfniXnwWfs3GkSaOy2ILLIaKqGm+9EGD2uU7iMY33Xw1xeH+MqRPt3Hp9IRpw8eetXPz1vbScWc74sZ3XdhsqNqvIxfMsvLmkib2rTDQfiHLaiXbuvb0QVdW45c42PtoSx+9TOXe+DUkSUTWorpTYvDPG5u1xTruw8+UcCiqEfSV5jzXty1gDNWxKP85MrOJMu3mkim51dfWxOrysGJSim4k4dOWz1UOtst1fbxbSkm8K3V/aVTHzXAtd6nz0sZMTGzIph5nN2F3xzurX+ODddmbML2fULA/P/7mR91aEcbsEZs4w4Sq0c9U3mhg7ysrGdVG2bpG54Bw38xbYuf+hdubPNzNjhpXv/7SNWATmzLRw1tlWhhVZMZkgrkBpkUSZR+StR1p5XoGyahPeBpmx1SZ2NAvcdE8VNpvIMw8f4YYvWBBFAVEU+M3PSph/cSOYJMaN7cxyC4ZU7v+dn4BqJ2oys2mFysYVPtastHDZZSfT2to6YIrS5Iv+tOZTreLkOXS3cAedrsIPPviAtrY2Jk/uXRLLkiVLuPXWW1EUheuvv54777zzqL8/+uijfPe7303UWli0aBHXX399r/YFIPRwcgfkd5Qe3K1XG0uuNNbTAlkkEkFRlKwaL4ZCIfTMq0xpa2ujqKgI+NiHrI+RrsSi3+/HarVmbIH7fL4ux0pFVVU6OjqwWq2JeF+bzdalVZTNXPRzYzabURQFQRAIh8OJF9xDD/+CTfXLqBjhYc+GrTgLJPat6+CxP7mpru4c/3t3+XAPcfGDr1sQVIFLr2miuVmmeqiJoUNECoolmr0QjEL93hhzplv49ndc/OGhMPd/vxQEgTfeDtLcHuMLF7p4Z2WEPYfDCCaBl5fIFJSacA+xc/I5hWxbHeDskXHO+IwdDdi1W+bLP4xyxpxLkcIdHKpfh4JExZjxFBWX4BLK8bbv45333+SirzopLrOy9o1ibr7mD1RXDz8q/TZ14SiTjK9AIIDT6cyJYOtfT7noJq27AzJtltoTiqIQjUZxOBx9HktPN9er51100UVs3boVh8PBrFmzmDp1KnfffXdGFQgVRWHs2LG88cYbVFdXc+KJJ/LEE08wceLHi6WPPvooH3zwAQ899FA20+zygh43lm6m0Qi9sSh7a4Um12rIZMEuH3PS4311Mm2r3pfkDkEQiMVi/OgXtzDyszIzT3Gz7Z1G2gMmSk6tYdKEOLf9bx0njfERiYA/JhDxd35uRmUJm8XJKy9YcNihtU3lJ78Jce3tnREOhw7K/OVnrdQ3KFxwkZk7/reZA/tVTphuYdHXXOypkxk1QuKZV+NUj7dy58+LUTWBTRtiNO8NMfFEO3ffeZAv7YvjcIj84zWNU2+awsZ/vcnoiuFY3eVEZQhEHTgsHuxmB++9sYGzv2hl/CwrclThrMtb+MFPv8zdd/6NsWPGJ449dfLpyMEAACAASURBVOEoXcZXcrfbXJNrV8VAtdz1l5sgCHg8Ht566y0WLVrEVVddRTgcZuvWrRmH9q1Zs4ba2tpE4svll1/O888/f5To5ppBKbo6giAksmgyjUborehmmnKsaVpisS4cDmecPpxr90JqYgOQlXWfKV3N+6+P/gFx9EHwuBGj4CiycPJ143EXWfC3CYy81sqojt3MnCFw50/itOwQuPHHJsyxEiZNrsZq2U08rrF2bZSpp9jREBAlqBlno3qKh3/+K0wkptIcELHbwWKFu/4oYx9XSkuTzJZ9XuwVGq++GOb0M63MONHM/T9sY8ZUC1OniPxruUbBKaOovcJKw6ubuP9nZuz2rfzyl2GOVIxGNe1FsMCBI7uJFIRxF5tBFDBZRMwucA/r4Lf/uIW7b3mcsrKyjD6Rk7ueJG+rKEpOVvAHMvlOKfb7/UyePJnKykoWLlyY8TjpipOvXr36E9s988wzLF++nLFjx/LrX//6qN9ky8D0umeAfjPrgmu32/F4PD2WNsynpSvLMn6/n2AwiCAIOJ3OjEst5iosTRdbr9dLPB7H7XYnxDbT8fv6AojFYryx6gW2rjyMrymAKEBHWxyTzYTTbaK8bBhNLXYe/luY79wWYOwEE6fMEqmaN49pcxdis4/lg3UxQGPJKoG6OhW7S8JsETm4J0pEEdlWp2IZYueme4fy1e8N5cVVKsL04ajlBThGFVA43MnUcysY+5lSHns4TN12mc/PN7PoOhtmi4i3A0aMthE50MY1V4o4HAKSSeB/7nBCWwcjzqhm5/urGVe6gbGnFvPmqxFaDkVQZIUn/tBG9SQXw08K8sLLz/R4LlN7rDmdzqNC8vQvtOQea/qq/rGKlMiHSOb6hZI8Xj6TI84//3z27dvHpk2bOPvss/nKV77Sp/EGpaWrqio+nw9VVRMRAJle0HyIbrpIAJ/P169Wi+5e0eMg9X5o/bl//UX489/9EFtNGFW28M7jDcw4q4SmHV5MmoR1bg0BXz2+bfu55UfFbNsQorxc5OS5Fn5+1ztcdN2VFJ/yeR745X94+TU/UmkR9qFm/vRLL063wI7NURo7LDjcHk48007nB4hA7Qwngt1EaZWF1U808pXvDkGTFQRgxtnF/P2PDfy/P3hYujTCmnUyNXOq2fjcfjoOhzh7tIooamgIRGMaqgbR9gijJ9s5ca6F3U/6CMsiy96QEYQYI08oYtvGIFUT3Kxe+R8uPP8LlJSUZHyukjO+otFoYq2gpySDrkpkJl+D49VSTiX1WKPRaFZdZHQyKU6efG2vv/56br/99l7M+GMGpejqMa16REA+srNSSfcbXWzT1bTNZ0JF8va6O0Mv99hVnd/UEJtcoYt9NBpF0zR27NjB1sZVTF5QyLDJHvasbWft0weYeqKbPe9H2LmxDlO8mRNONPPmKyqVlQKv/MdP/T4Zh1LNug+W0XRkHypTmDJtN6+sjTHnogqmn1VGJBRn6Zt7OXXRREwWkV279jJkeOeXRDSisvWtZqq+NhxVg3hUwWYXiUVUREnkkM/MtbfFEJ1W4iOrCY6sxVwrYt3dzKPP7EISZZwOgf/7VQz3MBONz2+gtEDFailiwTwrTz0V5vRLKlHVOBabyNqlft59yceMs4fz8lvPc/Vl1/b5XHYXTtVVicxkIc61e2ogW7rpxuvN+CeeeCK7du2irq6OqqoqFi9ezOOPP37UNskNKF944QUmTJjQ+4kziEXXYrFk3RYHclOHNznsqqsC4vkWXX0efr//qMSGXNzY2SR3RKPRhCtFURT+/I8/IrlkqiZ40DSoPamIne8cIdZcxaiFMzjwwUquuREKSyQ0Ff7168OcfWUxlcOsvLd0P+df9zQnjrSwZplC3bbPono3858HD1I52sqOdT6Ka9xUTS1B1TR27yliz0NNtDbHMY0bQcTr4+0/70JC5dk/+/nslcVEovDcI22Yi12c8a2RxBUTry/2MWq8CVeBxD6bm7ZgEX9fZcG2v47pp3k4+9LOwikvP9ZKc72AzWoi0CwhSqAoEFNEgtiZ84PT2P1yHWMLQr06z5kIUXe+4tSaubprKROr+HiiLy8bk8nEQw89xLnnnouiKFx77bVMmjSJu+66i1mzZnHBBRfw4IMP8sILL2AymSguLubRRx/t03wHpejC0bUXsv2dbj1k65JIjXHtLtQnlwkVqejtcTSts/mk1Wrtt4W6VDeGHlYmSRKqqrKt9UNstk6rF00g0Cajhaws/Pw3WKp+iMMtYHOYicsqqqIxdroDk8mMxWpn5mkmyv8b337SPImnPtrDfT/6E5d+/2scaqxnaLUVf0il7VCQ4moXtZ8fxerH4vgtUexhMFcWc3BvKx4xiPeIwqO/66BqciHzb59G6/4g21Z0UDHKBqY4hw7EGDnOhjPUTrvXS4u5ishujWvv9WC2CKiqxuzPFvDMn5zMOfksSovW8OLfdmNzatQ3QsnccQQ7ojiHFDKmsm+WT28QhE/WzA0EAlit1oSboi8t4PNZJyFf4/V2/AULFrBgwYKj/t+9996b+Pf77ruP++67r1djp2PQii5kF1WQ/Jts0QXX5/P1ucxiX+aVLPr6Z2hv/FiZzCXdQ5fcaVi3rJMbhHZ0dNDaEsReYGLNs40Mn+Jmz5p2hGAByze+yv6GJqzDhrBv915qxphQYyqbVoa45rZSBBEi4f+G/wGyHGV33RZ+/NsrKKmqxloCh7e3YrPDOw9uwVNhx2Q14T0SxVrmYfwXJyFIAt59Xnb9ZyuWIW5O+UI5pSOcKDEVd6mFdx9pphgLp0y0cahlHxveDXHJApnN7RolQ+KE3XYa6qLUjLMhilC3LcxlF/+A8xZcSP0vbmTGlW5+d9cmRl4yGWelh3hMIHogyIQz+l9005EcJ5xMOqs4kzKNuRbJfPVHi8ViWWWYHmsGtej21o+VqX8zuYA4ZBbjmrqPbOfU0zx00dd9qLkYvyf0FkE9pQzf/dC9TL91Du5hblo+bGTJP3eihSN89poyhtQ2o22I0bLOxYpnKlhv8+OylSBGbQS8EewuiX3brKxYojFiXID33vAz99ISxs9y8tSfDtCgFlIwshD/h/s567wC4rLM+vVRzC4HJZPKCLdHsHos2MscRP0y7c1Bdr+jUPrFEVhM0LD+CB5LjPMvL0XTRAQhyqO/aOPFJy2UL5xN1ZQS/FWjeeQP73LCCSHissa2DRHqqh7n7DM/x8mTz2bVK49SPmsE21+pI9zow2I3Y4+5GXpH7xoU5pqu7ul0VnF32V56c1E4OpxtoDKYit3AIBbd5Jsg20+XngQotVOCx+PB6/Vm9abOhehqWmch6a46NvSmXVE2JIt9JinDBwL1FHqGoMoqpVOH0r6ng47NhygZ7SAuKJRNkfBtieEZORu5woPiDXPpvInUr9rMiq1bGHPaBRyqb2fN0vdY+E0XQ4Z3LpZOPUngo8UKkSMNjJ1WQINUiSaoeNwNHGkLQyiCKICvPkAsEMVRbsddZmGIx8+HT+9CFAXGT5DY6leJRkQcTjNv/DtCdcFF7DzyERMmlxCLqMSRME2ZzJCxB2htlHEPNTF2QYC3lr3G+Z+7BOtbdlb+5/cQkTn7J3MQJZGG9w/xu7/+lm9+/VtZn99jGW2QbtEO+IQIR6PRT3Qd7o2vOB/uBf1Z8Hq9g6aAOQxi0YW+19RNJTmhILmmbXLWWz5D09LNIxcdG5LHzRQ9IiFTd8qyFe+we08dU4PFSE4nSlTBu8+L2wWC1YIgQFyNs3r9h5z0P+dSWloCAry1cjMjbEXUXH4xFocdRZbRWhsJeXfj74jy3KPNNB5UEY5IRIIaFZ+dhKeqMzW1qcRFePl+Cgpg6xMfIUdV4pE4SkzBWuLkg8NDcIVaueFWJytfCzBi+Kks/2cJGjFmzzqfz910EeqD97Pmw0Y0c5SqsU46VjWwY5vKkFoPVpcfURKQI51dYc85cwGLn3+B2HwrggiqolB50hBevP+lXonuQEQXVF1ok33EqZXBkt0Zfek63BuSn8XBVMAcBrHo9jY0K91vehK53op7tpaublmEw+GjKpBlcgyZjJ/JfPX9i6KYkdjr87j9/h8RFsx89PgWHIVmwq1hAs0RlDI7S/5Qh2x20Lw3SEh1savtMHs+WIt0ZC9KKMxB9zimTb8IAMlsZtjkaWx9XWPttmVc/tPxOAvNvPFUB+uWOomb/pveqUHcZCXgV2jd68MsKRRNH0rByCL2vX2A8V+a3nldjwT40TeXUz6ukvuuv53p06cf5fe87Ss38r//+AvbA4dp3b6Vk2bJjJ1aRSQgs2edj49eNPG1e89NHO+C+WfzyEd/ovKECkRJJNweYn/9Ia7/3jf4+bd/THl5ecbXJJfkc+Gru1C25Gy7rhpd6oZLvjLSDPdCP9PXCAZdZHqyKPMhcjp6rK1eFCS1Alku5qPvp6v/nxyRYLPZEr69TJBlmSNqiKqrZmMpdRHvCNHynw1YRhTR1tCBMm4SllGVSNVBbOs2EXvvBTp2NlM9pRCLBw7sXk1JwyxKSsowmUzYFA3N5WDEjALcJZ0LJEOHm9BMNra9sJcxnx+FBux4uQ4EE8GARtMuPzWXzGDf0jqKJpQl5uYY4sFcVYbZXkRVVdUnxMFqtfLj62/B7/fzm7/8jNa9a9nUEmT9ay3YKgrp8Cl84Wc/QPEHmTRmLJUWBwdWdhAN78RWYGLf6maGfH0Bu474+drd3+TZhx4/puUV+8td0V0oW7pGl9CZwJBNBEUmc4DBVUsXPqWiC50rnqFQqEeLsrf7yTTWVU9s0EUgm+y6bOhqTF1s4ePC7tFoFFmWMx77z489jG14CeYCJ/FAjCOr9+OaNwtXgRXh/V2YikuJeyMUV1kQSidTreylZoYHk6gw+tQh7Hirgfce/BMVs0+Fdj+LzlrINu9hAgc+nkPtVBtupYFJMzw0vruLjsYIwcYwoxdOZN97DZgcNiSXBUeFi6b1hymbPhRBFGnb1UrwkJ+qoikMGTLkqKLaujCs/3Adjz3/MC0drezZIzPlvHI+98MJLHmqBSUWoCWwF7F0GO9sXo/rxEnUXHE5dW8tJ7ztCCNvvgCT1YK1poIjO1fS3t6ecXbaQM4g6220QVdWcTAYTDxjev2JrqziTL/Kkt0LhqXbD/TGvaBnsMmy3KtU2VyKbnLHBr1jRCAQ6Befsb7/roqYZ8vy3RsRTRJIIpLVjGa2IYlQNKSAgNWGy2QlEGzDXlRCaGcLjkozrjI3+9+pR1M1amaXs3upxunzP4fJauWd5e9TYB/KgdYafvedRqacoLJ7ZZA5F9cw4TOljDkphiAK/OP2Lexa206kJY7sjbLqlx9AcSHhAyHW/XYNFrcF774Oqour+MHNd3zi/EmSRHNzMw89dz9jv1TKEKkc7eUIew/b8L10EMUf5TOLJiGaLex58wA7d0cpHFLCUGcRzoWf48OXX8BstWAxd1rjalQ5Zm3AB7KA6/NKTd7pyipO9RWnK5GZfLw+n4/Kysr+Pag+MGhFVydTizI1oF+SpKwEN9sbuqt56eFXeuqwntigv/nzhT4fVVUJhUI5y6aTZZldhw9SsHAGzW9uAxEC25qpGF9LsC6IUF5I/ZJlWGsqONRUz6iRCgVVxWx9bi/DZhQRDSvsX32EMbPnYf5vzPH2hgZOu/BCLp42hQMHDqBu2srffnE9Dzz3rf8+kAKyrBAMasQtcayjKohujCCOqqb83GkgCnSs20fbsk0MPXMiFbusXfpaV6x5j6HznWhC53FP+fxw9v5kF345wuQvDEeUJDRVZeTpQ9n11nqESAxbiQ23201AKsG7+gC2UaUENx7g4mnzB1W8aHfkUsS7upcy8RV3VSIzeY6Ge6GfSLZ0uwqd0sVWL/uo1yXoj+4R+v51jkXHhtS56C6VXCZ43HL39wgpKoWiROmCmUSbvKhbWhjfJLGibgsWt8ycm2cRk6PseWItjYdlWjY3Icc0YqEjbHu9gVCrypR5nREJcjSGKEpYbTZUVaVm5EiUuMKYMWMY7z6NFX9/meLRFt57ogF1xCjKz5qCIIk4aofi+6ie0IE2JIuEtcyDYDIROhTC6io6as6yLFNXV4fD4WBY5TDe2hLFWWkDNIItEaqqx+EMSahNTYgjVWRNI+KNomGD7fUIQ4fRumwNXn87rR80EF36EfMnnMBNX76OYDB4TNJw8/nCzhWZnINMfMV6Mk5LSwtnnnkmFRUVtLS00N7ezrRp06itrc34fPfUNSIajXL11Vezbt06SkpKePLJJ6mpqcnsgLtg0IquTroEiWRfKXyyxm5vM9l6s5CWLrEhndjlKk03FT0yQ89iy3U23d6OJhy1w/DuakXbWI+qCgwfOYofX/V1vvC9Gxh3/VQEQcCqOhgyt5Y9i9cx69ZJuKs6fdftu9oI7vIzpNWLdXsdJSYTp40Zh6ooIAgoskyB1Lmo+O0b7+Tm/9nLphUf0u6pxuJ246vrQK5vonDmcOTD7RQMc2KymAjubcKqRFDCKhPG1CYeVJ/Pxzfu+QbaOI24L84EcQLRgx4+rDuA6BZp2BjnhDnnIbYH2Lj2MI0Hd2ErNFO/Ici8q2+gY+NmZjTHeWLndiLji7BXz6RgSAkr1+zksWef5uYvfSVtcZp0TRdz7RLId5rtsSTZKpYkCUVRKCkp4dlnn+Xee+/Fbrfzz3/+k5/+9Kds2LAhozEVReEb3/jGUV0jLrjggqMKmP+///f/KCoqYvfu3SxevJg77riDJ598sk/HMmhFtysB1S1b3VeazleZizCzTFAUBa/X+4nEhu7I9GbvaT66ZauHn5nNZsxmc0ZzyOZYK91FNLsiqDYr1im1BNftYv6wqbjdbsoLhtC8rpGKWZWgwYEXdmIuK6Rxd4Q9Sw8x8rShNK5tpDDsYdpZU5EFgekTxlNRUsKjL7+IX1FwI3DtpV9I7G/R9bdy/tcvxnLaWFwzazEXOlHGDaP91VVIWpzw2+tAlCgo0LCfUITWPg7GTOKx/zzHTV+6kl/99VcUf7GYiC9OqEVh6bLVXHrajVSUl3Go4SCBU4JY1BDh2acg2VTao0FiHSEcn7Gxcvt6itu9XHLuAh5582liqgV7RTGqqmIeUcG7u7axKCUNt7vQquQ01nx2lDjW5CtcTJIkamtricVi3H333ZSWlmY1TiZdI55//nnuvvtuAC699FIWLVrU5+MZtKKrowtE6sJUdwtD+RTd5JhfIOPEhlz5jCF9RIIeIZFrfveDn3HJbTdwxNJBYNV2zp0wi9u+fjOKovCTm77DD353P7vWbMIkq4wcMQrnFSPQBA3tpBFs+s07WDSBeaecxy6zHbvbw5Or1/H5SeO57eprEoV99HqzR44c4aW3XsUed6E4rGgaRA61g6bh39GI0y0y9ZwKbO7Oa//eL7dxyVULsdhsNLW109jYiC/iI+KLEzzswFbowTHExOat2xgzdhxFJWWEggG2bV0FgoivsRHVKiC4C0GNogTDeMPN/O6vf8atWTkSCGHVNBBA9kdYt20z191/Ny7RxKJLrmDMqNHdfi7HYrGEVZzaUSJb90Q+hC2XPt1cv0ySxwsEAr2KXsika0TyNiaTiYKCAlpbW7MW+GQGvejqn3HxeBybzZa3ilvZWpZutxufz5dVJllvEjCSSX7x9KXUY6bnR1VV6uvrufurt1BdVYXL5cLpdOLz+fjVI3+kPR5mztQZ3HL117BarXzx7muxmqzIQhzRLOIeWsSCmtNRSqpweDofmqKaUazZvoOTZs44al/Nzc3c8PNvUnTZMKaNmsM7f9qIuaoMyeMisqcRzWTF1y7z0p2rKRvtJuJTsA85EclsJhIMJL6GTp95On9Z9jhDZ09GUzSENhVrsZ2176/CYndiVoPMmzWLHz36d0xDRyC6BNrfX4FmiyDGPIy98HR2rPNy7YIv8u0H7iLiVzANLUdtbsMycRi+qTUIBR5+/sQj/Ol/ftRlry5dSCVJSmyjW8WZuieOR6s4E1KfEUVR+rVgf18ZPDNNQyAQQJZlBEGgoKAgr+FWXfmBUyMjdMsy36nDydum1vdN9+LJtc9YURS+96v/Y5tNxdvYiqfJz90338z4cWP43m9+TtvpQ7EUlLDqcAftDz3A3d+8nVLNQyQqIDms+Bs7qI6Vcu1l1/C//3oKsaCQgpKSzjmmmeff/v0YRZcNx1pgI3A4RLShlY5lm5HcDqSiQoqvWUjgnQ1Ej7SzryGIo2YolsMtvPfmMjSTGVNrE5x1Ogs/t5ANm7eze0UHAhKXn3UZGzduwu5w47A7KC2oYNvO3Uw6+VSaAgHqDuzFWVlNfN8+Jl42h9DeNkxRjbv/9XtsU0Zgn1ZF/HA7/v37KJm7ELO5s4B8pNTN9u07CEdlCgo8jB/b8+JOOqs408wvfdtcMZAt3eTx+nLMmXSN0Leprq4mHo/j9Xqz6hKSjkEruoIgYLFYsFqtiTbg2fw2F5Zu8md8qmXZX1ZIMBhMLNIVFhb2y341TeONt5exo8hCuDlAQdVEhEp4+Jkl3HCZxBFLFEdBZ3SGbWgx+zZuQ1VV7rnlh/zfX39Nh9zOWEcJX/72zaxct5NyWzn7N+/DUXiIYofEl+edcdS+AET+W9M4FufI1ihFlcNRRwzDXF2OYDGj+kNEd+0Dmw33Z04gsGwNw0dNZeTIWgItrThHl/HXfz7FPbd/i9sX3cJrb69CMzvwtbcxbEgF06dNTexz3f6tlI2uZdiIEcyaNIlt27aweX8jyqY2TAGRbd6dREtsFH52FoIooJUVINosaLsacY4YC0D8UAvvrN1KSNaIxaLMqNvP+Z89K+tznelqvt5P7VhFTxxrenN8mXSNuOCCC3jssceYPXs2Tz/9NPPnz+/zuRy0ogtgtVqJx+P9sigGHwtApv7jbN0F2fqNdTJtq55pxEZ389CPvam1BcFkwmxyI5nMCAJIdjf76psQw/HkyWKJg81mw2az8X/f+1lCLF5/6z0Ki4ZwUmE5w5uaaDi4l4vOPJmHn/477WE/U0aM4atf+BIA113+Va6/52Zs55TSusuLgIC6+SPCO63YTp9DZFsd7nPOILJ5B6H12wCYMm0GSiyO2V2JKFkI+CKsWrOe2SefwPnnzMXr9SLLMu99sCMxXVmWmTF5Eiu2byU2agyCIFKlKtzw/btYsXE7qxtakVs2IbdGEM02BKEzKaLcWUBlc4Twik2Yo3EmOauobwlSUD4C0aLy+rsb+MzJJ1BUdHT4Wm9JXs03m80JF5vVau2zeyKfdRxyPV5fxs6ka8R1113Hl7/8ZWpraykuLmbx4sV9nv+gFl39Dd7b8K/eCKLf7/9EYkNPv8l2Xl2R6jeGznC4TCISYrFYn0LFkl0YDoeDz50xnxd/fT8hTzkaGvLeeiZPPwlJhGvmLeThl19Eq3RjPuDjpvOuZsvW7TidDkYMH/Zx6I/JjMVqQdNgxPDhOCwi9/z5l4TPG4mloJJXdu6m4+Hf890bb8Xj8fDXu37PP599gg2HPmTEt09DclmJ+YPs+OVLmCbNQG31I9hsqE1HsCoaVk3lg41bcBcOxVNUwNCCAlrbOr9MTCZT4jNRiH/AsmWvMqxqGJVlhZwxbw4nnTCNZe+vQlM05l11OR6PB7NZYndkNVbFgmnqJFpfWE3hvMkorX5Kdwf43Bnn8u6OLUiSREd7O2VjJiNKEiBhKxjC7r37OPGEj0U3HyFjqUXMM3VPpIueGAzuhUAgkOh23Rt66hphs9n497//3evx0zGoRRfo1Rsv2xtAURQikUjaBpQ97ScXVkNykocgCIn05fb29h5/29raxj+fe5lATEVUYly18HMMH1b9ie0OHDzIc68sRTBZKXTZOPO0kygsLDyqtnByi6Ly8nJ+/Y1vc89vH8Tb0MHc6bOwaWFOPmE2DoedYEeAw0eakIbb+fuzS3FaHcycOJE9ew4wf96pCIJA7chqNu9ooLC4nHAoiN0i468w4yx0AhqOcUP56LldCIKQOPfXX/FV/v3BW1gKHCiqgslpxTmyjEgc1FAUAQklEOaKBedjshdis/kQzU5aDzZw9nlnImhH9zN75sVXORgzUTlpJkcO7efk6jFYLBYsFgsXnHP2UdtOnjSJqpWrGD5qPC2aC8E2HOGNA9SUlHPalBNY3LAT67RaTCYTh154g6n1dZRXj0SORXBZJVQlTltbG0VFRTn/3O/q/s/UPZEaPQGdXzUD3T0x2GrpwnEiur1Z9c/kN8mJDXqMqx6+lA/SiXRyQZx0SR49ifrTr7yObWgtFg0UJc7TS5byna9dfdQ2e+r28dNf/w1P5QRQY9Tailmy9D2uvPQCwuFw2jjjWCzGkneWM7xmFGY5xvmnT6WivJztO3fx/V/+gvaaYlRNQGyROHnKZxAkicdffY3Kkgr+/eobnDhxMtWVFYwfWYHX52PIUDc1Nafxx+W6T01AUxWkOFgsFuLxOIcPH8ZkMlFhK0ABBFEkKmtEWwK4zpsBaARWfYDS4ccXMiPFzZx88kwO1TcTd1SzY/tHfPGij/2q4XCYvS1+SofVAjB01HjWbNrB+DFjEiKf/FLv6OjgKwvPp2bl+zy/cjXVJ87GJIoU+9v5cM9uYjPHIQdjaFoI18xJiDsbsColuG1mWlqb2bqnmJ37/bjtcS5YkL1/N5ekuif0Y9TDL5Pb+vQ1eiIflq5+Lw62FGAY5KKbjfik+21Xv9G0T3Zs0F0LudpHT9sn12hwOBxZFaSRZZmGhgbKysqIxDUckoSmKIBATBNRFOWoULa3lq/FUTgEl7szbGvP/kOMrbARi8W6rMD24N8eZU1TGwF/AFQF8fU3mVw7hmdWbcQ/aQYScYK7t1M0/WT21O/B4yhBKhlKKK5SOXwyH+6tp7Z2Krv3NHDe5+fx/Guv8s+XnmaMpYIdr24lWihh3tnB/1z9LSKRCP96+iWikhtV3H8UqgAAIABJREFUkTljwqm8+dRylEoHO5atQxp7EqgqaBq2MaMJbdhE6dBq6o90MLS8jNHjRnK4fh9zZ01h+PDOVeil76ygqaWdfXv2Ulw1KvEQH6pv5NVXVyIIJux2jXnzZgPwyOJnONga4I3Vb6AV2hhitTNejTBl3ATGjzmL2+69Hy0UQXQ58fojtK/fjNgR44zZs7BZ7ZR4ZlBUXIaqqnS0trB6zXpmzpiS8b3RE7n4okoOY9MNjL64J/JFsogPtgpjMMhFVydXoqtpXdfX7U1Bmt7MS1XVRERCTzUa0o2/d28d3/nJL4k7itHCfmpKXUwsqUYymVAUBaeJT/p2RQkRBUVV0VSVaDSGw+bq9rPt3Q2bCAypwV4znljAz6srVhFVJRwlQxD8TVjchSghGUHTiMlR4qqGEvKj2WzYXR5iXhuyHONQYws33X47m4vjOE8eh7w9SPVHNoabJ1I8tYyt2w/Q1NzBsvXrCEVDzJh0MiUFw/jVN+/B7XLx/f338LYoooXCaIAaCGIVTYwbP5lDb71Gc4OZwgIPI4qsTBw/lmAwyHMvv06H4qK5IYD3iMySJ59kxpzZ7N+6FY/oQKu1UlJWSiwWZdOmrXT4vYRsZaza/g7SxXPRJIGQ1cJLy1bz1SuvxO/3M+/kM/j30pfYqQWJBiOoLX7qZ83m7n88zt1f+hJ2RyGxWJR1a9ehClZ27fSDALNmTkuc0+Xvvs/eg80IgsDJMycyflxtVvdOPgSvt+6JZMtYVdWcxtEm3/ODrWsEDHLRzZWlmy6xIfUmyUdCRTJ6UHxPNRp64t5f/5HCiacimTo/GfdsfIcZvkP4o3EOHzxAUVEZD/51McOHFnHheeciCAJlhQ5GjxzOrt27icXjFNsUzj7j858YOxwOs2bNBtrbvTQcOEBJ7RSCHR1oaCg2F3IsRuWI0dj27SFut2GvKCaw4m0mTpjFwX0bEWSFmKmCbRvXUGaT2LJ9K3WNrewJWcHlJHygBbG0gIMRP+edMAdNVfH7fdz3p/9Du2IOpqKhPP/2Mk7zTOKMmaOoqKjgT7/9LRPPOpNQIIBgNhPeuJnv3vw9BGDG+FFccNYcHA4HNpsNh8OBpmm0+WWaWg5hFouYMP4E9u3cxIG1Gzlp5izq6pp4Z9laqoYVM2XqJEIhmTavH7urlIikIVosqKqCqmlEPXYCgQBut5t41E+Rs4bCA/vxqxaEaRMwFZcSHTuZvz7zNJd99hIONXlxeKoIh/xMHDuGLTsOMW7MKIqLi1m/cTN7GiN4SkcC8NaKD9mzdy+KKjB54hhGjazJ+l7oLZncs925J9JFT+ginY8C5oalewzoS7KDXnkrObGhO7L1T/U0r2TrWhAErFZrxqux6Y47ooLT9PExmJ3FnHv6HCRJ4h//WUbVyHEANPm9vLtyNQLQ0e7D11jP7GmjGVpewumfOQWfz3fUscqyzHMvvMX+Q228vXMz4Ypqtr/zJoUjxmHzFGEKhzl12gSWbt7DxMphbNu8gQkmle/ceSelRcW8v3YjK7Y1I2PC196OHGlj9/59TDvpM2xf3oyzvArv/t1YRnqwmj/2mwcCQfxlLlxuO3FFRTptIh88uZKf19zQeXxmM9veWsrixYtpbW+ncPYZHGhspDnUxleuvBhJknh35QcEA2GmTxvP3/6zmGXrtiKFCxk2ZByFbhe+jg4C0QD7X36OIssQRo+aSiQgsGrFai65bC6lZYU8u3w9Ts2ENxgCi4TJYiJ+sInm5mY8Hg+qGMc5xIN3/R7k4cNwl5WiKgrC/2fvvMPsKqv9/9nt9H7mTO8tmSST3gglAYKAUkVAEVERLj8vIqKi0WsBK4hdVK69XFEigqEmhkAgvfeZJDOZ3suZmdPL3mf//hjOYTKZ9OQqXNfz5MkzM7u8e+/3/e61v2ut7xJEOoeGmT+zguXPrMZoNzOpogC7w040Gsgo4HV29eJwZWfmxIGDRwgnqikuKeXl1/ewOBxl6tTJx8w9TdPYvXc/wyMjzJo+DY/Hc0pz51Tm1pnsM1FxR9qZEQRhQnpifE7xyWw8vZCbm3vaY/1n2v9Z0E1PBkEQTqlk9kwCdifabnwlm91uz7R6P1Wb6LpLs900+fuxe3xoqooSHyIvL499++swWN/0CHQwmay89vpGfLlV+LIrqXaUEg20c+kli+ju7mHVPzZgMVspKPBw0UUL6O7uRhAcvLpvFZGyakzxJKmsbIIH9+Mun4wvrxCL0YA44icRSTG9qAobEV7bsA/JYGPPnh0sXHwVVqsFgL6OI2iJGFarlUm5hezv6COVSiB09FNoto56R8CmdWtJGcTRIjV9lLclMRrgTAc1ZVnm9ttvZ93azQianZpSA7FYlLr9hznU1IknuxzBoPHdnz3JvsIIyUI3yWaV/uAwWjRIx0AfmlXEas9BGBZpaznE5Gll5GbnkJXlweVycfnMIHI8wMsvvAZuM60dXXhnzubeP/+BK/MKKfTlkVPiYeq8eWzcsgElOwfJaCLa2owtkGDPni4cFhNZuU7c7tGsENRQ5tPY53VxuDOA1eYgHAoQV2W8WVmkUila2rrZs2cf02oqmD+jioUL5gKjVNQTv3sSP3YESWHdjqe47yO3nHXF1Lm09BqQZfkY3dyx9ETaKx7LKR+vuGPsGgwEAlRXV//vXtRZ2j+vmdM5sDOhF1RVJRAIZOq1HQ7HaQWpzkXebTKZJBAY9XKsVisOhwNZls8JJ/e1L3yGcnmYSOM2hI5d/PCrn0WWZQryc4kFBzLpb8P+PiRRITunEEEQkBWFRMpIb28vq1/Zhs1eiM1RQGd3gh079yDLCslkDH84hmQwIxuMmG0OBE1jZnkFFZOmsnnbbvImzWfO/IupmFTLoY4gmsGLN6cYhyuXAwcbMuMU9SSTynIIDA8wf8Zs5tu9XGJw8MgVH+DRL96PGO1i18aXae7qJNk4QLiuGW0wQHj5epZUXUTj4dajrlvXdULBRKaLg8lkpulIO4rJiyhKaCmNgUgSNS6guFw45lQRFPsYDnSTcIApz4eaiBA3gKwoVJQXk5PrxW63YzKZyM/NpTqvnPuuuwtv0ETZze8ja/YMTDOmsLq1iemTqoi31mGzWXE4fUT37ia0YyvySISiwgq8nlwmVc8nEeomEe6GRC9XXbEoo7uwYP4c3OYYA91HGO5tITfLgtVqo/FQHUnBiSe3gqz8SWzZ20pfXx8AjUeO0K+acGXlYHU4cZRM5aVXXj/rOXQ+BGrGWxpcFUXJUD9WqzXTRWVsmmQkEskEttNtpNLr6t+c7j/JTqVAYnzHBk3TTptXOt2JOB5002M4Xouc0y30mAjUDQYDj3z1C8ds63Q6uWRuDdv2HEJWFGpK8gi4KjI8G4Cuxkc9b8kKgoCug93uoru7nzmzZ+By7Cfc2Yla2I1oUkipScyKEVGSMQR7yc3PI/gmF66pSUTFjKaO6tjWTp/JxtdfZqDTipBKctWSBUyurmTP3v3s3V/HgppCFi64gdzcHABuvv5qfvbXP2C7eBFKNEbotT1owU7KXeUoZRbi8dhRn67f/9V/88LOHciCzEVFU7j+0uswmRRCahxV01j+8ou0hwMEBsMYPC6skozLl01BtpH+YAOK046YshBv7yYhCrS0Heba6xdjtY563bu2H8TnHs18sFrzGGoZxDjDiaDr6FYLgiDw2bs/zAsvr0RLiVg8OfT5B0FVKNOj6HoKRZEpLirmiisuBshQC+lnee3VSzPe3gsr19A+0M3g4AC64qa0qHT0GQlGnl3xElWVFbjdDkTpzSX85ud6Sv3XEzM/VRA/Hj0x1itW1dFqx4GBAd73vvfhcrmwWq2Iosj06dPPqF2S3+/n1ltvpaWlhdLSUpYvXz5h5aAkSdTWjmacFBcX89xzz532ueBtDrrpBymKYkakerwdr2NDNBo979kIaRAdm+97ooyEc1FM0dHRwdDwMPUHjxCOJsnP9bJo4VxUVWVKTTWLLpifOffQ0BB/fWY1yHY0NcaMqcVkZ2ejaXXAaCeHWCxKlneUEli/dyclF15AS8NhUikNOzoVPg/TXCK33Hgn/qEhfrt8Jd6iagRBRI/24nUvBEDTktxw9WKuXLqYrq4eNm/ay0vPv0ZrazuKwUNVZRUvv7yNeXPLmVY7ZdSjyXISCfZitudgNDuwp3KZVTsdyQC9/YOsXb0eNSqyfvcGVplGMFx/CYmkxqpt+8nZvZbbb7+Jrdv2sOIfL9OtqOj5MqnOQQLtXQiRA7xr9sXMmjKZ4VcP0VFXT5a9lBybl+nTSpk0qYiaKZPeHLsG+ltAUFNYTGv7HphRjhqNke0PUFFRgSzLfOCWm+n86RO0xAIUeJzseGUlloJy1qxfw5SKKubMLSMej2dEzMc/7zTgXHv1UpqamnEqYQbDRhwOO5FIhK1btrBg4YUc7tKIHdiJrMWJ250IokTzrg3MrC5h9959zJx+5ulo5yOv9kxtPBCn15Lb7ebRRx/lBz/4AS0tLXz605/G7/fT0NBwkiMea4888giXX345y5Yt45FHHuGRRx7h0UcfPWY7s9nM7t27z/ha0va2Bt20TQRWJ+vYcDblw6dq6UTzkZGRc9oi53jjWf6356hrHaGxuZNocJiFCy+k55Cf4eE13HTjNQSDwaMWk9vt5iMfuoHBwUEsFksmCjxvTiVvrNuF2WzF4zZx4aLLGRoaYiAlUzOjFm9+CcFIBL1hD3/48WPE4/EML/7RW67i9Q1b0QWN73/tQd7YuJ1wYIBin4t3XX45kUiENWt2IMt2enuhv1+ipCSPtvYhaqeVs2t3A9Nqp2AwGPAi0TMli8DBNmSHCZtJp6wmF48ni6aGnRTNKkNyyrT19yEsrkQQRIxGEWFqOXpCx+PxMGN6Df/z5N/QjQZoHqGwcDaiUaFkuJdHv/o5ZFnm5vdezRM//gO6qpCbm0NhQRFRdThzn2RZxmgW0TQVVVXJzfJwiZZDaH8DDrOZB770FURRJBAI8PTfXyKRcmIND7Jj3St4y6YwIhtIKiLWvkN8cPK7jtLPTX8yTxRQKi8vo7y8jFdeXUdTWxMHDhykdvoMXO5RzjYRz2NpbRZdvQNs27UbwWSnV/SxfO0eGppaufmGa87ZXDtbO9d0haIoXHDBBTz22GM88cQT2O32Mwb3FStWsHbtWgA+/OEPs2TJkglB91zZOw5002IwsVjshB0bzmcK2NiMBFEUT0vI/EwCgjCqN1vX4sebV05TZxhXQSEHDuzhwosuo3ug6bhgbzAYyMvLO+p306bVUFCQi8ViyXCOJpMJkjEEQSAn24clFOLg9mGWfe9HVOX4uPuO20kkErhdLm685koSiQRWq5Vb3nv0wu/t7cNodNHZ2YHDkYckDxCJRvFleRgY9ON0vrU4H7v/s3zx8e8TkyWioQFMXh+rNv+DhTWzyfI4kd78tJ5cVMm+xjYM0yoBAam5iwVXvw+A9W/sYOGMyziy+nm8eZOJtQwgqyo5VRXs3LGb+QvmYjQaWXjRbCLDAhaTlUBomIIyLx3tnRzYdRg9BTaXiX37trL82dVELQbMOVZuWDSH+z/2MeLxOC8/t4b2pj52N3SSV1WCN7eUnsR6Bnv70BMaQjJKNOvoVMRIJJKhmNJKYemA0thA0qWLF3G5KLLi+ZX442M+e3Uds8nEDddcxa76IxQV1yIIAobcEnYe2stNY6ij051T5wokz7d4TjQaxWIZ/RI70zH39vZm1kBubi69vb0TbheLxZg7dy6yLLNs2TJuuOGGMzrf2xp0xwbS0hoBExU2HG/fcw264/N9zWYzqqqespD5mdAXaYtGo+iCQjKRQNfVUU1fUQYdJOGtF9LpHHssQOzdX4e/o4u9+xswmo0EAkNUX3Ip4excXu9oxfr037j1xtFJqKoq4XA4o3o1NjXI7XaRSBzAarHS1x/CZJRJJiMkkxZUFSorR1un1B84yM6th7lmylUk9SB/HFhF+4JqBFmmY91qHv7gRwmFA2iqTktLLzTuQm3uwGG1ce2s+SycNx+AA/saMIuFTHGX0NbUhcfsZOb0GswmI5s27GD+m5kA8xfO5vDBRvp6B1CsSRSDzO5NB8lyjaYjtTe1su6NPbgWXoJHUUjEgryw9wA3tLbS0dqNVfahSBE8riJGukfY3bgSPSEg6GYshYUIosDwSDdbtu1gwbw5R93niTriTlR4MH/uDP741EvYs8rRNBVZG2Ty5KXous5IIEBscBCn0/lm2uO/llbCuQTx8cc6lRfL0qVL6enpOeb33/zmN4/6+UQ6E62trRQUFNDU1MRll11GbW0tFRUVpzH6UXtbg27akslkxks4XtnqeDvXoDtRi5xkMpmJtp4PS49HVVXsdjtSYhDIprQ4j317dlGc62Gg6yC33DCqAbp503ZamgcAqKjK48orLz2l8wwODvLE8hfJm3EJBaJIb0cribY6FLuTru5eEE2s3bqL97/3RkKhEM88vYpEVECUdRYumkZBYS6vv7YZLZmisCSHSZOy2bPnCEeObCIRSeFxuRkaaOeWW+9g6tQaEokEu7c3kO0pIplUeXrlWkZqJmMxmkYT7y9cyJPPreCuW27lS9//CdEpk7Bf8D70/XV87robufSii4jFYmzftouB7n4K8nOpKJtMX996spxOHHYHQyOt5Je+ld8pCAJ5BTkcOdCKzehi/8YmWtva8S7IQRAEEnGVREwjEQtjlBwoRisjURG/308ipiKJIgUFOdQf2U4gGiSpWTFazNhzKtD1FMlEFIszi4bmlqNAdyLz+/1s37YXWZZYdOG8TFGHxWLhrjtuZOfufSiyhRnT30MikeDJp56lfyDIcP9+rE4vRVlmZpfnnTGVNVbb4GztfCqMnc76feWVV477t5ycHLq7u8nLy6O7u5vs7OwJt0sLnJeXl7NkyRJ27dr1fw90dV0/Kon/dCKX5wp0T6atey5SzI5n6aqfNKf66U/cyXMvrsYlpbjizqspKszH5/Nhs9lobm7hYF0/hQWjfbtam/rZu2c/02dMO+lYnnr6GZqGkljlIVAT5Pp8JOtCDAyOYDRYSEQijAxE2L17H63NnViMBTgsMolEglUvb8RmNRDq19ASOvu2NrLoiqmsrdtEZ44VMRLDI6ncsPQGAv4gyWSScDiMgEJPbw/trc30d/aRKnWgp3R0DdRonNhwkj/+5q8Mz6zAVV02es/nzmb5qpXMnDqVV1/eiJg0keMopbOjDl9ODtnZFsyWGEh+Zs+eAcrRWhp1ew7itY+CbJY3i4a6ZoKhAA67k12Nu2kQB0n0qWgDfeQVTcZFmKKiIn72x8do9UcwInBB2RRa97dgM3iJRoNE+zux5BaTCg3S09nF9LuOrfQba4ODgzz91CvkeEa92Sf/+By3f/iGjIyo1+vlisuXAKNzq7+/n8MdAWYvWEpvdxu9PV3oQ/3ceO+tmYDdO729z9leV1qofNmyZfz+97/n+uuvP2aboaGhDN02MDDAhg0b+NznPndG53tbg24aaFOpFIFA4LT3PRvQPdUWOedjTGMFedJt1dPnuu3WGyfcp6uzF6vlLT7Q5cyivb37uKCbNk3TePGVTQwNRon4h3CVVNLR1k6Zw0rzts0YnW7MI0PMqpjDP15aS25eHnaLl7aWduJBlZ6+AQIjA8ysXoBiUDDoZr7781+jXHMVVl1ClETq9u9jYGiALLMzw21u2vQGySET0VAIy4iH5Mr1BC9fiGQ0wrqtTJn0HoYCflKDPcSjcUxmI7FQiOGuIf78i79hlj2UVeXjcHZjkKtwZhspKM4iRRKb1UVKHOaKd42mbsXjcTa9sZXNb2zlSH0HJoMVs91AzZRqRiJ9jEQG2Bnow7zwApQUaPEKmv+xgu8ve5Bf/fkpIhW1eKplknGVN/Zu5r8+eQe/+P0rRBIQHBhkoKuJlBrHpEXJH1M9NZEXuG3rHnI85W8CpQGT5KOxsYmpU2smnC+qqiIpRlQ1icViZWrtbMxaHwaD4bgCNSerADvXnO758nRPh7o7kS1btoxbbrmFX//615SUlLB8+XIAtm/fzhNPPMGvfvUr6uvrueeeezJaEsuWLTuqa/Dp2NsadIHMTU+n35xOtdiZkPypVIpIJEI8Hj9pi5xzkQI21sYL8phMplO+5pLSAjZvPIzbPVomOjTcy7SZk467fXrsa159naScQ35pFsMjw7RsXgvqCNddeDl2SYSUTFw1IEfMWBUD/d19JNwW1LCOyWDGZBIIDUgMDQ7T1dPGYP8QA4zgQwAhBbpI0mxmw8ZN1M6sZu6FM3njH5vJtubR2NaKEDPjcBq4yrqUxg11WB1W2vwaL219hVQyhi/bxIAiE3PasO5r5Pol76Wx6QhyMoXVYaW8spiurm5kWwyXw85ARwBdlpgyZ9ao2tjK19myficl+RW0NfjRh1yIDjMiZnbs3s6Pf/0dmpqa0PduQTcYR1vZ2214qmvYWldPMBwjVezFZDBiMZuhqITc3GzmT8/n8J9Xo6V01KAfmz0Xl6eA//7VU3zqvo8ct9RblsSjcqfVlIp8AmDJyclBC/ewbscezPZcwiPdXHt57TEUW5onPlHALg3G59LOJ+ieK4Uxr9fLmjVrjvn93Llz+dWvfgXAokWL2Ldv31mfC94BoAtnLmR+OkCd5k6TyeQpp3+dSWBsou0nKhmWZZl4PM7Q0GhrcZ/Pd8IJWFhYyKy5xTQeagZEaqYWMWXK5BOOJ5VKsW13PUajjUA8iTOrAEFXCQw18Oz61zCarSgjUSb5ZqHrw8yZczGhcJD6zr2MhKI4HXYunD+Hl4dWsmXvBlKSA6MvF7G/h75t23HPmEE4FkLbV0flvPdQ6K3ghb+tpL9thIaDB4lFk5TllCKbIEGECyrms2rbKoTSaZhdWQh6imjdNq6XsrCbzehVC9j0j50YBSN1Lbvo6qympKSUsNhHha+Ig68fITQUI5FoZ8PqLVjddsoLq0gNGWgKtBIPa2T7fAyHB8hx+5CkLFRVpaioCKu/n3BWPigK8b5uTCYz9Qfq6QnFkTQzRquVotwcjMEhGg+34HZ4mTu9lO27WyiovByTyUIk0sXhpgDL/7qCj37ktgnv+QUXzuMvf3oBs5yNmlIxWCJUVh2fN5QkCbvFRmGJh57ePhSLj5fXbOO2W248aj6cLGCXTl9Lp1FOJFDzr2ZvR7EbeAeA7tgCiTON/J/IxmYkCIKAoihnJUhzutufqK36/gN1/Ph3TyNYfYjxET783itYfNGizLhjsRgmkymz/axZ01my5OLMAgoGg6xdvZFkIklVTRm1M6Zm9k2lUvT09PDiC//A4J1FPJkkGhhCSwxiyKlEN/fjmzKP/h3rSKjDXHjhexBFkfq6A3i8HqL0IKc06vYcpiS7ih0th7Da3QhKhOzyGoZ27ccUiCJFolxePJ/JNdUgCBza10jXvj5yTfk0D7dSH9hBZfUkpsyuxFVg5PUjboS8PNSkBkjoVieTasuZv3Aejz7wQ0oc1SQSCbJNefgDXczKn0y1ZyZbt20m4dfxmnIYDA8y2BlksDlKoCnK4KAfd5aHtsFmJI8ZTYgTjgQx+CRkWUYURX7+8Fe47ZMP4NdFFJMJkz9EKDuf3Dm1dO7fQlQUiW0b5p4bb6CvLYnZ6CM0JJLlLsFkVNBJIQp26ur20XxkOxcsnE0kFKOgKI+cnJzM87ZarXzwjus5fKgRxaBQXV3J1s07qNvXDOjMu2Aa02dMo6mpmY0bd2JQZBKqzsDgEBFVQVbMDA4l+cJXHuFnP/r2SefbREAciUSOKsXVNC1ToDBeO/dk6+h8eLrp+ft21NKFdwDopu1sONrj8VpjW+Sky0Hj8fhpj+1MlMnSk/9EnPFvlz+Ps3xORhntT8+uYnJVBQMDfp55+h80H+kAUeWBz3yM2tppR92jZDLJ0//zAm5zIYoosf31Q4TDYaZNn5Jp9vmH//kr3qwZdHQeJiWbUJNR4tow3uIqYoHRXEbPtLm0v/ECvf197N2xm762PibVVFFcWsym9ZuxeZzMX7CQ1F6JrkgLimpC6o6jKkm8sgGfrOAx+1A1FZvNzmDfIMW5RcSCScqKSmjsO0jBTCtFU73MWTiDP//jeYJqAoPJhJ4CkQiXLl2MLMt4fB5SmoaqJsnJziZqMFJRWkYkEkWRFULxEJqiEQ3HiEZjGGUzStKMz5xDyB/GqhvpCTSQ482nb7CF629cOlrM8dJr1O85xAcvupKKaSUcaWjFFDPzk7UvM7BzM4giipCiyJlNaDBKUU4Fe3fXYTdkEZRGiEcDxFQdyWDG6i7A4fbymU9/gzuu+QAHt7UwZUE5M2e/1Y3YZDJluPa1r63jr39cjVFwYTZbaWt6lVg8yprVe8nNriIe1mg8+Bp9wwru/Bo0NYFsMHCwuZtkMnlS1bzxlp5j6U4pY+fjeHGaNABOJFBzvmw8vfB2012AdwDojs3VPVcpYMfzLpPJ5Hnxpsdvnw6SnYzG0HQB6c194vE42w8c4u5v/ITePfVkGX1UlcxDEiUe+dpvePT7n8Zmt2X27e/vh4QJySoRj8dpqutk1/bt1NQeYNHSOZRVlDIw4AdMOBUvFoOXhBinf7COvt1rKLnkWiBFMjhA7fxJRKJDRCIjFDnKGG6J0Fq/BUU2kAqnePW1VcQ0cC26FFGUGNy7CUdeDUr1FPpaG9l8eB25k1wMxwYoKs0jRyhATaqomoa71MLtd74fn8+Hpml8+8uf557P/hchyY4Qi3DbrUtxu93ouk5RTR6JboEcg499+/eRXeBBFEWSeozaRTVsi+5iZHCYYGKYrCwP4VgANZlAF3VMLqitWkBupY+c3DwMBgWbz8yTv3mK3694CdGVjR4YZk5dIZe/6xL620fQzXbcVbMQBIHYYDeSv4OhgUFINNHZ1Y7PXUpLdx3hZIzhiIrN66O4ajaJuEpENGO12DB0gXNoAAAgAElEQVQajdTtaDwKdNO27vWN/PW3rxDqMzCsD+LLkSCk8/TyF6mZdNmbnqrMlOoF7H95OSldRZIlCqvm4G/acM6Ew8eW4o49pq6/pZ17vIDd8crzz9TGrr9/0wv/ZDsXoHuyjIRz7U2PtbFetKZpp1TFVprroSEwhC4ZOLC/nuDwCHEUIoEEfuLUx3dQXFiFx17K+nXbuPo9l2XGbzab0fTRl0jdvoOIqgGvO4tiXwXb39hLaXkJN914NZ964LvkumZjNNhQ411MyquhvvkNBp9dATYzsjjC7PffxOE9DYQHEgxHGrAb3FhkO3ElhM3upa7uEM4Z8zHoEqqq4Zl5IaH9W9AqJmEuLMWoDrP0vYtwuVx0tHfwt188hyVlJ65GKZqZn9FLlSSJSdXVrP7bk3R0dOB2u7FYLJmFf/OHb+SVF19lqH+ESz+0AI/Hg5qKMbmmkryCXKbPqWXbhp08u6qZ5qEgqVSCokiKOVNnYc+2EAyM4HC7MBoNBMIj5Dq9LF/9CvYF70KSZHRdZ/vWV7gwHqO1t538kskEI2F0ATxuHy4tjBpL0Nh6iPhAlM0NL2AUzRSaiwgGD2Ar8SJKEvFIH7met+QXBY79GkqlUhzY2YTN6CYpazgMXvr728jK9pFKJVE1FVlWSCTitLQ2YpBAMtkxWpwM9TRy6aKpZ+xxno5AzckCdmmBmnQ8Yiwgn+n40vsNDw//G3T/mXY2gDhekCbd8fZcnuN4Np7GADKqSSez+z/+Mb7+yPd4fdNBEjGB4prLad+0jmxHFSbdjtfhpq3jMLVTp6IoRz9ql8tF8SQvh3c3MjQygCKLLJgyj1RKR9QV+vv7Wff6FsxSgsG+Q1hMLpwmI/FEgAJzCXLSQCIao6CgjEMbW4kOxDCKZrzOLOq791FWUE1pZTHTZk6joesgg5ERLDl5aCmNwcDg6GJNhpFEkWk1VeTm5iIIAlXVVXz0wQ+xfv0Gnnp5NeLeDnZ9uZFvfOGzmXJPRVEoKys75n6oqsqM+bXk5OSMdnN4s5ILRgG7qLiIHfv2ES6bROH8QhKJBD1b15H0RKicU4PNayUeSpLU41TPK6e4tBhVVpDHlpmbLeQV5uHJdbP1yRdxlUxFFmVive0E/APs3dKI1Z5PKhZESOp4rPk47U4u9F3EztadeL0GsqwRZpWOZo6EokFyS7zHzLdUKoWAQGlZMYN9dYRjccKxIQqdbm6+7SbWvrqNhsPDjAyHaek9yORZVxAN9RAKteM0J/nCg9846fw5HzaeJ047ErIsZwJ2iUTiuK19TsYTj30hBIPBMypO+Gfb2x50z4ZeADKCIyfSaRh7rnMJuhPRGCMjI6d8DlmWyfJ4ueCCq3l19QsMtTWixwGnRCzcT0JV0HUVb77Ou65aknnBpNPOFl28gDnzZ7LutY2EOlMYFCNaSiOcHOaXTyxnoEOiuvAyDjSuxWy2MRTwE/B3U0wVBsVMPJ4gOSQQivYzqaCGhs5DyKKMN9uLKUukprYG2aBw8x038KcXnqW9YQ+CYiBUvxXZk0/XvgNI/nbu/PNvjlpo2dk+nlr1KsnJFyBKMg3hIF955Ht892tfzmwz3hvbtGUb3/rFH4jbsjCE/dzz3qtYcvFFWCyWjAqdpmns3HcAQ3Y5oiBgMpnwzppHYaGFK997Rea4Y21KRQH18SCKwYqe0rBJCabPHk3J+oSW4tlXXudIUytmXWN3ayclBUswm1zouk73vtfJq/KRm59LR1cHLslEvpLkgsULmTy1mqaGFspLCpg+89hc6e1bdtLS2oiYcFFcnk13dzdVlfksuXI2c+fOJhqJ0t21lYK8PKJCHE01UlA8BW+Wl/DAgbPycs+l6bqeAeHxAbux9MSpBuzGPvd/e7r/ZDsdQEx/yqeTq8+nIE36fGMtnes7EY1xOucQBAGv28kLq1+jeNIlxOJJeuNJtEiYG669gkQiznBY51Of/Rhms5mRkREikUgmMCiKIkajkXdfdyUb122mq6UXZHBmO+jtNzDQexBRlSn3LSAUaiDY106ZbTLhcBQRA7JgIBAfwmU348vxYSs0E5dVDh3qI2hI0fDC//Dh227g8nddylU3LKWpqYn29nZ++qyMc9Jc0HW0ZIIf//J3fOvLyzLXFQgECEsmTG8K2hisdrr7jwCjFVufeejb+KMqJiHFFz/5H8ysncaPfvcnlCkXjE5oXefXf3uRa66+KnNf08934ZxZHNh4AFNeCeg6qb4Oaq+4llgslvHSxi70R77yBb75w8dp6e3CKgv812MPYzKZUBSFKy+/lFfWbqRyxhXIRiudoecZDLWSq1iQRJmIGEJT4gwN++lq70XQRORhJzvWHCIQDqJpKolknOb6Fsx2M0vedTFGo5Ftm3dwaHM7C2ouYc/+XWzd9yrzlszk0/ffm6m6HBoKUFZcg8FgxNSwD11TicXihIN+SgvPvnPE+a5eG8sTp21swG58j7WxaWvpvweDwbMOpP31r3/loYceor6+nq1btzJ37twJt1u5ciX3338/mqZx1113sWzZsgm3OxV724PuWLA6mVTj+HxXRVFQFOW0q1pONx947H6nEiQ7HdC9+qql/Gn5SlJqAkXSqZxaS6BzP4lUJ95cJ/952ycxGAyEQiE0TcNoNGI2mzMTt/7AQQ7vb0A2ylxx3RKcTiffe+wnbF9/hOGufhTJiGQ2IQohfM4cZFkmGQrjVyOoUhSf4iSnqJitTZuoml7OhsMNVC669s3KHY0Nu/dzw03XEY/HKS4uJhwOo5sdo/cQkAxGgoNxdF1naGiIz3/tUQZCCZoaD1FZMg2D0UBKTWJTRp/Rlx/9PoHcaRgNRlK6ztd++HOe/uVPSPBmyqAgIIgimqxM+Jzee+01NDa3suXgNgR03n/RAi684IKjPK+x/yRJ4qEHH8h4y+k5pmkabW1t9MeMuLOc+IeGcRZMZrBlNwPSIJIg4ip1Me/qSp758/PoopU5kxYgSRIbtq9l17bDiJqCP9hGRUkhFy++iBX+F5i5cDrrX91EobOa4eFhdh9sQ7WUst6v0/C5L/HrH34Ho9HIjJlT2b3jZXKzq7l4/uW8tuE5inJKmFpayftved8pzZ+J7HwWM5zMJgLi9DHSzwNGFfVmzpxJQUEB/f39LFmyhDlz5rBgwYLTHt+0adN45plnuOeee467jaZp3HvvvaxevZrCwkLmzZvHdddd93+3Ii1tJxIyBzK8aVo4RFGU0xYyP9MijNNRQDvdCS/LMte+ezF1rTpWmxNRkuhMNHP1tRczfXotXV1dNDc3U1ZWlmkJpKoqoiiye+ceNr+wEz0u0N87wOrn1lBeU8aav6+n70g/ueZJCEmB3sHDuPKMTK2eTdtQFxFVJRIJke9zkl2TRV2oH1fVNOoHB9EM5syiEUWJSELLXLfVamX69OnYfvMX0CtBFAn3trJ4SimBQIAvfeu7DLtrMOeaKDFn0/DSn6mYMhWHoPLwm90wRqIqks+YuVdxyUxvby9FLhuNwWFMTg/xUIASp+W4kp6fv/8TE/4+veDHdrdNP7tkMpnZJn3/ZFlG0Eej9kMjYezOLHojASJiN4rq58+//hFFRUVoqsqu1c3IskLvUBfhgE6W0Q4aFFtn0NK6m8K6VsKHAgQ74/gPh2iNrSOUVJF8xaRifdiy8ujzS7y+bj2LL76IlS++xshAL/t2b6dyShkPfvYjLLxg/mnNnf8NOxd0RTpgJ4oiqqqSl5dHY2Mjd999N7Nnz2bnzp2sXbs2U757OlZTc2x59XjbunUrlZWVlJePKuC9//3vZ8WKFf8G3eN9lp+oRc6ZcrSnY2OTzU9FAe106QVd17nnrg/x81/8npb2BrZu30Fh0Ux+9PNVHDqwDNGWi8HmJM+Z4pGHHsRms2U+pX/6o9/QemAYPaBhl8wYTVC/YzXhQBJXzEU02Yuu6+TKuYSSA8RcEVLkUVo0G9GgYzf3oUsildVz3rzWYg6u/A2l0+NIsoHwyCBVPidWqzXzkrFYLDz2X5/me0/8hoSms2RqJXd/+HYAQvEUSpYJHXDnlyJFBvnRZ/8f+fn5SJKEqqp4bUbaYhEUk4WUpqEkQrjdbh57+Et89/Gf09pTR67XybIHv3Raz2kiS2ezpKsAx3Z70DSN/Px8Judb2dZ0kLhqJNLXxKLF1+H05NK45Rm+96On0HWNqjIPrjwDI/4emnrqkQQRg6ygpjQSiThaQqO3p5eUScNpcTJ12hT27NjHwa49aLkaYpEH2Tha5JLSUzz91HMMtgv0dcQxU8K+bQ1cfPHEn8Wna+ea04XzQ1XY7XbC4TAPPPBARvP5fFlnZydFRUWZnwsLC9myZcsZH+9tD7rHA9BTaZFzKpTEROc7lYmpqirRaBRN0zJe3qmm4ZzuxJdlmU/eexf//cvfo1OErBip27WOcMpLUeGo6PJwKsLPfvlHvrzsU8RiMZ5f8TwbN+whWy/GrFmJGkX8A51IukBEi5KQk/iMhaR0jSG9n/LqPHzFRTiKSkEARVbo69EIjbRiyn5r7JOqJmEPHCKcSDEl38tn7vvEMV59SUkxP/72Q8dch89poT0RQzGa0dGxEqekpCQDcslkkgf/826+9r2f0B+KY5J0vv75T2U48S9++v7Tum8ADY2NfPcnvyauCRTluPjS5+5HURRisVimn97YpqHjPeL5s2fQdOQ52uoOMnvxTTjc2dRvfwWvdzqenCoEBBpaG7hycSWxEZUEQfbsqiOeiqKloC/YhJqMcrD5INMX1CDLCqmUzow5tWTPtLNyzz5MOZOJDg/iHmmldsptfPixT9HbF8VizUXU4jgUIy+uWM/Fl1xwRj3Cxts/i1443WOpqnpKxR8n0tKdSFHsfNvbHnThrYWQ9kJOtbjgfKSAjQV7s9mc+TQ6H2/7scfUNA2/fxhJzkOURGKBIAa7l9SbE1VAYWikP/OZ/Pc/vIjXU01woItU3EwsEiSkD5FtzEGVYhhdhUSTCSRRJG4QGNEk1q/bTlYBlJaVsGfvfjpa9qIlRjiwv5FLb7iL0Eg/k0p9fOFN4PqfJ//KNx/9CRVlBXzog7eeNA3uoc8/wBe//h16u6KYJXho2SePWlSapqHrOt//+pczXwyaphEIBDLR7rH/TnbPk8kkX/n24xiLFyAIIo2BYb793R/z6fvuwWAwYLfbT3iMZ559nufXHMRbdCkzzVM4uPVlZs6ZjduYpKKyBvRRoDBZvCBK9Af6GI6FKc0pp2+kndaedhx4KLAXYzZa2bVzNz1NA8QjcXRJZ/6VM/jBlz7NC6vXECWE3+7h9o9+imDYQH7JPARdR1VjDA/UY1DsBAKBswbd8+HpnisbC7rpcZ7KujqRlu6pWEFBAe3t7ZmfOzo6Mtq6Z2LvCNBNWyqVYnh4+JQ6R8C5Bd201kEsFjsK7CORyDkRvTmRpV8yV195KT/++d/w5U3HYLIQ6jyIJ6cETZIIDrYy95oZWCwWNm3ahJZIIQSHkQ1m4iMhpCTYRQdJHQRRwptXjGhOYbYZ0ENGKsovRFFg4/ZXaT5ygKSaxKA4KSu7mJHhdg5vfor33XQNd9x+J7Is88h3fkxDl4LVUcobO/rp7n6cZZ/7JAAbN27hhZWvosgSH/+POzLFD6Ioctt734PdZmPq1KlHLbA0r5rOHBgfoByvoJXu9nwiIO7v7ychOzAJIuhgsDjo6G09ig45kW3eth+Xt5pQ0E8iHsHmKOLCWZXkvWcxzzy/B3dWKYIgkIh2U1/nRw3mUVV5Ge0tB7EII1QWVeFJ5WGSzSQSCYRhmc5oO4WmMpxeOyP1Mb77zZ9gznKyafNuXI4KQp0q0VQQ1RbGoNhQRDOSYiaZGsZisRCLxc66AOFf2dMdb+c7ywJg3rx5NDQ00NzcTEFBAX/5y1948sknz/h47wjQTSQSo1FxXcfhcJxy+eO5AN20IE4kEpkQ7E/3HKe6ffq88FYFW23tVO77fzrPv7gGSein0OSkb9crqILKZZfN4sO338qXH36U+tYog/Z8/G2bKYgWEVcNmOVRry4hJzFJRtoHd7Bg4ZWY7SKxjiSCAJomUJQzlV17XyS7cCFudymJpIrTXYjdFOK2978vA4AHj/TgyJkNgNXh43DTLgA2b9nGj375HJ6CGWhRlc984VF+/qOHCQQC3HH3ZxFt5VhMIrOq7Hz1Sw+iqiqxWAxFUbDZbMcNjh1PQetEQOxwOBASgVFxdF1HUxNkOyynkc2SYs/WfxCPyWgpGBlqZM3aAmbNCLNkUTHbdtYjCDp33LaU559Zi8NsRZJEKidNx+qVSQz1EtirEovHGAwMkNJ0DLqZWCxOpDdMb3iIlOrBZMoHYw/0xXCJ2ejxHlLxGCnZhKbGiYZ7+Pi9n8XpdGYyLE5UgPC/pRh2Pvnhc3XsZ599lvvuu4/+/n7e8573MHPmTFatWkVXVxd33XUXL730ErIs8/jjj3PllVeiaRp33nknU6dOPeNzviNAV9M0LBYLoVDotNK/zhZ00+lngiAcN0h2JrzxyWzseYU3k/zT55g2bQo2m4VYu4Z7ajaB0DBOuwtzQYJt27ZxqCOFt2AqzhyVVDxBsqEVEimMsglNVxFEFU3QmTZ5EtMXuJhUU8WXv/o4ydYcBAHC/g58vkJikQFwlwIQGungsotHtQMSicQoDZBKktJSILy5UPTRzJIXV76KO390W0mSSRmL2bhxCw9/+0fYi69AUozE1Sg7Dw2wfft2pkyZcsqe51g7GRCnRX0+cvNV/PYvL5ASTbjMOp/72rJT9s6mTS5jx04/Dmceuq5jNTsJBoPs2x/hvk/cxc03CxkPfc2qDYj6W0n+kqRy/5f+k7tv+gRKxEIwOoJFt9BnHMLmqSGpRkiqYdwuByBglC1IpEDXybdOpr+7Db9ymJQWY9qUEkpKSzL0iyRJmbkoCMJxCxAmqgQ71ylj6TGcCxs7tlgshtlsPutj3njjjdx447HC//n5+bz00kuZn9/97nfz7ne/+6zPB+8Q0LVYLGcEbGcKupqmEQwGM2A//nN3vJ0rT3d8JoaiKAQCgUx2hCAIJBIJkskkoWCI9oN+BF0hRTfFuoWSoUJEw6gspSzLVM5awN7O/RjCZgYSvSSI4xJ99Kc6kQYFOpv7aW5vR6mupb+nARGJqBwm32TDmFBpObIKQYDLltRy73/efZQXcvP1S3ny2TcQjdmo0R5uuuYCAoEAsiSSiEcxGM0IgJaM0NLaQjxlwW0wASDJFoIhlXg8fsoByFO9t2kQTiQSCILAVe9aio7O8udewmQ2E4lETpkjFkWZ6qrJdHQOIstWrJZCIsF6PC5npo2SoijY7Xbu+c/b+cF3f40aN6ALMe746HX09fXzrsuuZ8euTQQ7huhV/eTOuppAXweoKiNRP1meRUQjcXRJZNjfhNOYB2Ydo2jB6SxjONTCggtrjwJZ4Kj1MBEQj1UMGwvE6e3TXvLZ3PvzmfP7dq1Gg3cI6I4vkDhf3XdTqRSqqmbAdqKMiOON7VRtIs84nSsaj8cz2hDpiL7VakVV1YwAtSAI5Obm0thZjztVhUE2EIj1MTAQo6qynJb9P8NbvhhFUUgMHcZaVoVQINK1cwtmwUWX3ozXWYIagsO7u+nua0OrLiF33mhrm0Q0iG/oAJUlNdhsJu6550M4HI5jruGaa65k5sypHG5opLrqJgoKCtB1naWXXsgXv/IdZGsBLreP8rzRFByXO5vBjr14C6ejqQlig4eYNevLp3T/UqkU+/fvJ5VKMW3atOPSSxNxw8+9tJJv/uHvSBWz0eJRPvbAMlb88VeYTKaTcsQXXbSAV179BT5fCX5/mP7eerJ9FubNqyKRSLB33z4O1DewcP4cZkyv5ZHHvkggEMBqtfLS86tY9dxr7N9WT7VnNr7iCjZ3rEexWnFNm4Mog9qwgbZD27G6Cgm01GHTjAxHuhhJDWC0+YgmhpEtQ3zyUx8/ikoZLz4+ERADEwJxWiksncOe9oZPR0P3f8Pergpj8A4B3bSdiZB5OuPhZJ5qOkiWLp01mUyndY4zsXS58tiiCuCoIpCx2hHp1KlUKsXkmimE/QKRSACb0UvrkUZu/8B9SCkHzdufxyCImOQk7ooFJAeHyMuqIdtYxmD4CJLBiElwkm0swZ1bys76tcTLJqGY7egdu/nWd79KSUkxMCo68tCXv8OwP4rNofCpz/wHWVlZwCiYFhYWZsa6evVr/OGPa5hc9R78g+2U5+p865tfYfPmrfi7DiHbS2k7sBpZD/CzHzw8Wv2WTJ6wjUwymeR9t36Uvr4kTk8uJQUGfvzDbxyVu5muRIzFYsiyfBQ3/PQLK5EqRrlnyWhmwFbAjh07ueSSi0/KEbvdLv7jrmv4+4o1SIwwbXIeVyy9lIUL5/GzX/yWp1bvRXLk87M/v8KVCyr4zrcexul0suJvL7DzlRYKrFM4mOhkcNCPZAWrwUhf0zqq512DyaQgqSPkmCZDNEnKko1Vs2JT3IRSQ/QFOtCkOJ976OPHpE1NVFmXfmmcDIjTHq/BYMj8fXxJ7lhaIv0FMNH6OR+ebvq5DQ8Pvy21dOEdArpnWuxwsgkxUZAsHaA4nXOcyYtgLG+bBomx500HmMaDCIy+fArKsvALCq3+bvQk9A0MkuWeg83hRT+yCcUfx6J46O1ajyO7HEGWiMWG8Di8dIy04csqZ3TYKaaUTEMd2Ed2Xi73fv3BDOACPPqtx1EDBdgVI2ooyaPffJzHfvDQhNf23PNr8WXVAmApnEJH506Ghob46U//xML5H6CtbR9xg0x5STFz585B0zTi8fgxXmYymeRTy75Ca98IbfX1ZGctwOMrxD9QTysyf/rTcu6880PAWwUO6UrE8V6wIgmk1CSiPApcYjKGfYzucNpisRg/+uFP6eoYIsvn5r77P4bL5WLBgvnMmjUzE9RMb/vUc69iLluMIEgYKy9ixeq/8x93HqGysoLDB1rw2LJJpVLYXRZaBhtxZk3B41uA1r+dXEMTOb5sii6azaE9MqFQP9FkkEh8EJviwia7CaX8mLKtfOCDx5b8ptMUx2vfjpdcHA/E6b8pipLhh9OAmi4qGssRq6p6lIbu+Q7WjQXxf3u6/yJ2NoGx8QB8vCDZmdAFpzOmNOCmE/MVRcl4G+kJn5aBnAhE0nbv/Xfxja9+B3/oCC6HC68rH1GQ8Pe3Ifnj2FJOZBXK5WrqOnYzrfICcMVBgBF/B419KXyJIooKinHnuvn01x6YMDdx2B/FbR71KmVJwT+SPIGH8ybn++Z1prTRaj1BsmEwmKisnAdALLY/42ml78lYwPjiw99iXzwbKasIs0vHaPUhy0Zy8mbT3bmRQf9w5ishkUhgNBqPqkQca1/57APccf/nGfGWI8bDzMs2MnPmzKO26enp4Y4P3o8aySKlx3G5wnyx6xFKS/NoOdKHKKX42D23Mmv26H7JZJJYQsUivOUpi7KZdRs2UVRUiKSAqiWRJQV7lgWjWITXVwaiztT860hG6lDCKsaEwsG6FeTaZpFnnsaw1srB2Hp87lwqphbymS/fc8qdIU4UWEwkEke9NMYG5NL7prcde7yJgHismHn6fieTyXPSVWLsOnq7tuqBf4PuMfuMrSSbKEh2Juc4le3TvG2awnA4HJnPxPT500G0iXJVx5uiKFx/07tJ9rxGliuPlZteQNB0JA30lE5KUzEoFkyyCafNSVzwM722lte3rKXMPh8SIv7BTiJKF/d95GO43e5My/exQSWT+a3utbquYzRO/GJKpVJcumQuf1+xA6ezglCoj5qabIqKilDkeOYYiUSELM9osC+RSGSucyxgdA2MYHSXokZDo4teVtBSGpIokIgNccXSxQQCASRJOmnmQ2lpCSt+93PeWLeeLK+HRYsWHTP+n/74tziNM5HMo+Pq7t9NOKoTH7KT461BEAR+/sM/84OfV2Gz2TAYDOS7jQwOtmHxFBHoOYyeCFKYn0sqleK9H7iG7379cbSwAYwqTq8bu8eKwaAQCvSzc/0OOn2TSGoRDDETilnHZjDi9k7FLsAfVvwEl8t1Tspf04HX9As+/azGUxPpZzA+02H8V5+iKBgMBnRdz3jTE3UfPlkb+ONZetuRkRE8Hs9ZX/8/w94RoHum9EJ6n7QXObaS7HhBsvNBYaR5W4PBkElwTyQSmQmZ9tjSfz/VSTpj5nT+UfIag2095Hp8HKjfgtuTw6DQjlksI6GJ9Cc7kS0iZpPC0lsvZP26nbjtox6tS8+lM7mDG957beaTNE2vpBfOx+/7ED947NckohKyUeWBBz921BiGh4d56L++Q39PCINJ4JIlM/H7/VRVVXPDDe9BEAQe+uqneOyx/yYUTpGVZeG+++7mk/d+gaHBJLoew+pQkCULZrPM575wLz6Xjc5oCNlkJSZEiAa7MNh9tLXtxuYU6ejspKqqAl3XCYVCJ81EcLvdXH/dtce9j4lECklWQBtVMVNkG4FgM96qt5p8CpqDzs5OJk0aFSd/7uk/cv37bufwptdRoiLT82bx/B/XokhGGuobMMQsJJIqeQUe9JFhdD2Jrivs2/4Ck/MvxWoerSwb7B9GI4LTPerVpQKj2TpnC7hp50KSpGPoqZPlPKfBdDwQp1+8aSBO/59+cabXzam0gT8ZRxwMBicUsn87mHASAPnXrQkcY2miP00HnE7+3sjISIYnNBgMmM3mE/JRabWy8RH7E41tZGQEt9s94bHGjjmtopTmMdPPJh3YSE/e0/EMNE1j185dtLa0sWXFbo4cbkIKmWjubWA4NUCWkovXlEOP3oMj30agN0pV7kWjWrMpja7UbtbteD5zPF3X+fvfnqfpcAuTa6tYctklGX3gNN2RXrSiKHLf//scXfUmJMGIjoZub2X5il+e0Pt8+Kvfoa/ViaIY2Vf3BkY5m8rKSei6RlQ/wPd++BB3f/JBugMJpFSC6WWFrKeQv+EAACAASURBVHljG57yi7BmFRLt3MYj/3U3lRXluFyuo/jKsUGl4wFxIpHg5ZdWEQyEeddVl7Fq5au8+nITwWEBVdXp7N/AtBmleOQZmIxWevtbOdiwiTnzallwyUxu+9AtwOiXyc1XfxQvlXh8DnyebBqHtuIzFJLtGH2xRRMR8udZGAoHCQQiHNxzGEOgAiElEovG6BysJxTrZlrJYkKJHpwF8Lu/PXHaectjn186g2Osd3smxxnvEadBdiz4GgyGYwLcaQ547O/Tx0pTaRMBcTgczqQQPvTQQ1x33XUsXrz4jMb/v2DHXaT/Zz3ddJAsnQlwvoTMJ9p+onzb9GSTJAmj0UgsFkPX9cyiSIMxcAxYnOglIUkSc+fNZe68uWx6bQvmuJNUKkWWMRfCEmpEpV3sojz/QkRdJGTYTUvnTmySm0CyF3uhSF9fH9nZo6o2j3//Cdp2hnCavKzZv5vB/iHuuPM2uv9/e+cdHlWZtvHfmZlMy6SRQhqE3qRJCqCIiopl9VPRVVf8sLGony4BFMGGun7giqgouyhib+vu566rC4hIdRcSkCjN0EsgIb2XydTz/ZF9x5NhMpkkM0mAua/L61IJ531P5sxznvd+7ud+Cov4w3NvYDM7iE2M4OE5vyUkJITdOYdIDr+Epo9IIi+/lisnT6GkrBFzfRV9knry9DNzmHTlZa49lxRXsnvfj+DQUFlXxIBe/bDb7Gh1Whqrm34ff/3wbdeLadnyt4kr74He1HTclE0pzHj4SXomD0btrOPpeQ9yyX9G08MvAUNkbMrsXZZlnp63kMayHuhCDHy3eiELFmXS2Gghd98xnLKVJW++TlJSEi88+wp5x0rIO5TPmAGTiHRGkbXmMNEx33H5FZfyPw/No6zESmnDHvTH9WhCnehjISllgGsvBq0Rc30jmTMfxGw289F7f2bz10ex1qpQSWoscjkJYXEUW3MYPHQw9//uLp+yd08QCYPQDneEX22JI7ZarS6KTCQz4jl0z4jdrViFfaMyEItJJyKgNzQ0sHLlSsrLyzusjPDVwLxPnz6EhYW5JHY7d+7s0LrnRNAV8KRx9QSRYULTB63T6QKm7RVQmvEoZ7G587Zmsxm73d4ib6vMLqxWK3a7vdkXQGSanh7IQUMGElFdx67te3BYVYSqwps0n4a4pmOjw07f2DR2HfsnBq3EhQNHkpLcl/f/+DHzfv8osixzcPdJ4vUDAehh6Mnu7QewT7Pz2v++RYzUxG/WHq/lnTc/4qGZ99NobaC+oQZdiBG1RkVh1Qn69rqZ5H5NzREnctfw+sLP0Wq1TJjYFBhPnTxBjGEY+pBQzI1bsVgbUWv+8/moGjGZTK4vo91uJykxHoelAP4TdAsPbKP/BTei0xuQZZkXX17BhIvHu34nW7dm8Y+v1hIXG01m5oOUlZWT9e/tJCTFAzI1pw3ERMWALNNDfQEfvvtnho4cTFFpGaBi/frvefDB+1i0+GnWrv6Wbz7aQ6QpCrOlnoPH93Pw5Z84cPAgtdWRWCz76asZgVqtRXZYKKnK5aBmN4NiRhEVHU1x/UluSr+C8vJyPnjzI/760d+oq7Vi0PZApZK5ZNRFpCT1QU6q49EFmc24VF+9JkS9QNQp/DUl2P25FGuEhoa61hDPvftJA34JxMqkwT0Qi2damaGfOnWKrKwsvvjiC+Li4rjqqqtYsWJFm/fsi4G5wKZNm1xSyI7inAq6KpXK9Wb1BGWGKYpkYkaZr2gvpyuKZFqttkW9reBtvWUh4iF1N9oWD7N48N2/gCqVirGXZLDsu7dpqDejkw0UOU+gVuuw28xUm0uQJQehpr6YtOEkh6fQr3dTRtZYr/idSs3vXZJkSktLkc16pFAJWXai0xgoLyrg66+/we5Uk1+xG7VKi9NpRhdqIkQbCjJIkgq9KRaNM5pv12wiLWMMarWaPr37UX5Ci9ViJjF6IKcqfiCiwoxGZ2P6A7e6sn6tVovJZOLWKTfxzbrNHC78GVlSo1U50er0rt+/TQ5x0UerVq/lj2+uIqzHCA6dqGHzzf9NtDaRcFUvGh17CE1sQKWOcH3OapVERUUln3y8iageo0GG1WsO0DP+n/zquqvp3bc3jfK/sTsi+dfe74iLyaC69hifrPgGi2wm0pSAbAOLowFZNqO1mkgw9iLn8DbiHTH85v5b0Oq03Hn9vRQeK0K2QoK6FxanhSR9P0ryyomJiaVvcmyzE52vXhOu+1Cr0ev17aYlvEGZQbvXQgQd5v7MKgOxOHFA84xYqSUWfx4aGspLL73EbbfdxrZt2ygrK6OgoKBd+/bFwDwQOCeCbmv0gjdvXX/QBd4gpDg2m80VTH3V2/q6n9Y8BiyWpnE4ffqlcGfmLTx633zU1jA0Kj1J+sEcrc3BUKdCliR2FOcQKoVS7qigrLQMfVgIfQYk8NG7n7I3az9Fp09SKdeRHNefemcZN907iR49euAMMbu+GAWFpzlx+Ce+/yGHwcN+xam8HOyNViy2Knr1jsHhsKJWNY3TsdRXYOp5AeGRJtfvq0dsGJYKHUZ9LMg9iUysZ9Ers4iOjnYFlJycXSxd+gEOh5rYWD1Ll/4veXl52Gw23lz5CQV1dUhqA9ZGM0UnjvCn199m1mMP8+U/vsNs0VC07ztknDjqquk/fAIGg5FQIigs+BmV6TT15jAMOiOlDbn079eTovL/SM4kiIgYwLatO5FtTvbk7MMaUkLu6eNo9fGUlOwlxh5DT81ojlfsJN+Zi1VfR6IpBY1kwIGa2rpqjGoj9TV1JPdK5qUn/khtnoVBqlQaQmqpdpThdDgpsB5B06AibcAg7ph2W5ueA8GzC14Vml7sYlRVW6kJT2hvBu0pEIvruWfEongmyzI7d+4kLi6OPXv28PPPP2M0Ghk8eLCreBkoSJLE5MmTkSSJBx54gBkzZnTseudCIQ1+kb7U19e79HvKTrKWimRmsxmn00loaKhP68hy0yyvqKgorw+qUnomy7Ir0IuHSGSlAHq9PiBHPrGG0+lEr9e71t28cQuz7pmH3haBHiMmuwm9FIrZWYcky+TJh9CGaOmZEM+k2y4hNeNC1r+3jUhdLAAHK/Zw+S3jueyKS+nTJwWz2czOH37k8/e+ouBkCYXFZQwbfAU/H99KQtJ4JEmFChUF+dsYNSKWn0/kUVXtxNbYQIIpnuEXJrP49edcXrCNjY0seuFVCk9WImkcPPDIXQwY0DRqWxQbp06dRUTkxQBYrfX07lXGa68tBKC+vp4ZD81h395TaAkhvc8l2Jz1XH/3GN5+/1PKikOJix2BLDs5tO9vXDXmNkJDjTidMiX1h5i78G6WvPgG+38+jNPiwKCOoLrRTEh4JCpZjdVez4WjEjHVx9NDn0CDtYb6yNMUFquoOF5EvLo/p2sPodOHE26Kp85SzunqHCyNZpxWJ0lSPyJ1kcgmOz3TI7AV6Sn9uRy9HIrNacXuaKRUPk24KZzrH76cR5+c4/NnLnhVcRJQDj0Vf+4puLU1ECuzW/Fs+Rt2u536+noXxfDYY4/x7bffUlpaSnp6OhkZGSxYsMBjkVrAFwPzyy67jCVLlrTI6RYUFJCUlERJSQlXXXUVy5YtY+LEia1t/9wupAmIoCYePCGJ8edMstZ+3t3EPDQ0lJqaGsxms6tQIAp4vuht2wMl/+XeGKDRaLj62sls3Z/GzdfcRsWRSiKlaBzYkZBQ02S43o+h9AyPJqZHDw7sPdjUBdVYi0qSiNcn0zOuJ4mJCdTV1aHVapl46QQuvewSpt4+g9LTWo7s2UpNw0lq66tJ6XURFksFUVotqopoXn5xKukZaZw+fRqz2cyAAQPQarVYLBaWvfImxfnlxCRE8fqKplZgcRLQarU4nU4KCgpwOiOor6/H6WjKC37++ahrunNoaCjXT76C8JoThOrFC9jEvj0HiI7qgeTo5zqtRET3Ib8il/660TRYa4jrq2fFax9Qsr8Be5maFGMqWo0Ws20X4VIi4eE9UavhwI9buHLkKACM2nBqq8u4YGQEq/buISIkjjpbFXERQ7BaGgnXxFLijMRitREmhxIm9aCxoRGNU+LkgQISIvuiMaiRzU6QZBqppyaklJvundymgCsaZ4AW9cltoSY8BWJRl3A6nQHjh5XPr1hj9erV7N27l/fff5/U1FR++ukncnJyMBqNXq/VUQNzwNUUFBcXx80338yOHTt8Cbot4pwJuuLI4nQ6qampAZoevNYkMb4W39z/jnvXlbveVsnbGgyGZhpXaD5I05s2sS1Qegx4858F6NGjB5u3f8fSJa+z8oWPSJYHokNPEScxYkKWZBqdZiKiwyk9UMLGrO+x1tsw04DOZCQ23cBlV05stkZZWRmHdx0iwTECm62RWENvjjXspeDYZgYmDeaC/hOoqC3Bam16GbjrLP/36Zeo3q/FoIsj/2Qdz81fyIJFT5wRQPr06UNFxVFiY/uiUmmwWmspLCjm6NGjxMfHo1KpGDikP2vs2zHK4UiSRHVjEZeOTscuOamrkZEkFWqViogePYjtY0c25DF+zAhGjB7Kn574P6yNVrQqI2pVCE67E6daItIUT0xsFJJKxckCNRaLBYO+SZ7oxE6EwciAuCQKTh/AKduxOa2oJBUWuwVJVjHENJ6C2n3Y7GaMqjAkh0x9dQXOvnXUGEoxymE4VQ4ShkXyxUff+1y4UWa33rrvWkJbAjFwBj/rz6RBqR8OC2uahvH444+jUqlYt26dK6u98sorufLKK/22bkuor69vatf+z0y2devWsWDBgg5d85wJuuIoAk3HdV8fvI52sSl9EsSD4h7IRaulRqNx6QyVRQQhiVGqD7wZibR0/6I92Ff/WUmSmD13Fj2ionhx/qs4LDIyDiJV0ZSG5DN28tXcdOuNzJ72OD3oiYwGp9NBsaWAH9blUnRHEcnJyajVao4ePcozs18ixByOw2lFBlSoMGpNJPccRZX5IBabGSmmmvEXeR6VXZRXSQ9tP5zOpmJcaf5pj9aOer2efn3iyc3diFqtRZKd9IpLo6DgNIMGDcLpdDJy5Aiu/nUa61dnITtkho/vzxVXXcaEieP5n4fmUVNtoq6uktrKfGKki6mQyhg+ys7x4yeos1YhS05kHNgdFkI0WmSnDRkb0n9eMFE9wynjBKF1MTQ4q2jUV7Jx9XEGmUajizFxrOQIeZU5xIT2p9ZShNoGaGWcaok6ZzUqWUWDVMPApCGMGjuQOU9P4OiRo8TExHDB8AvQ6/U0Nja2+iyI4rBKpWpXTcDbsyHWFqc3SZJcRk/eirbt4Yjd9cMajYbNmzfz3HPP8eSTT3LTTTf5/UToi4F5cXGxy2/Xbrdz5513cs0113Ro3XOG062srHR1lbXGtyohAmZb+rirq6tdHLAoVgg1hJL8bwtv64lng+aaXE+z1kQxw5vMzBfU1dXx4Tsfse/H/YToNTyQOZ1hw4ZRW1vLE9OepXJ/A+YKBzihWJWPyRTNf82+iNPHC/num41Y65yE6WKxyzaSGYLZ2oBGp6XGWE5K4khqtXu5cvLl3HXPHYSFhfFTzi7eff0jHBYnvQYn8NjTs3nknrmE1fdBJamQVCqq9UdZ8dlSj/td+tpyNn2TT/6pXGSHEytVrFn/Cb179z7jZ90r5Y2NjRw/fpzn5r9CgnE8EhI19WUcObqFUSljOFF8DLPcgKXR7jrixvUJR2cyIdvCkSUzd913AxdPGMuuH3fz9rIP6WkbzIniQ1AJcbGx7Dq2A5MqBiuNhBBCnVxDT0M/6u1V1DeUEWY0kTo6FVWImon3pnLjLf/VpmdB0FQtjTDyB5QnJ0/8sPiZltqG3RtlWnohiIRBpVJhMBgwm80888wzlJeXs3z5cmJjY/16X52EFj+McyboCtlJZWWl12GUnv6esvjmC6qrq10FHTHWXTx8IgvuaCBUymqUPezKDh3RiafT6Tx+IToK8aV7bMY8yn9ooKawEafkoEZbjU1jRpYsNFbbSNYOxSk50Wj0nHTup9FeS6PVTIjewIDeY4nu4+SNFS+6usPq6+uZOXUuMZamGWL11hr6XRlL2vgxvPfG56jMRpwGMw/NvZux49M97s1utzO0bzoDwy8jRGPAbKsmYlAN//ePj1u8F6WXblVVFTddNRW9FE+vhOEcOZpNnK0n/Qf1oeBUAccqfyYqNpKBY3vzzMIniYtrcgUrLS0lIiLClfH98MMPzLz9SbQWHU7JSaO6gbCIUEpOl9JbNRS9ZMSGlTzrAeLCkwlN0hDTJxSdORRJlug9OoG5Cx5t9Xn11IYLdOh01Np6grsVmaev8BaIlQmEeHEIVZFGo2H79u088cQTZGZmcueddwakQNdJOD8KadA+CZivnK744org1xG9rS/78qRvFPya6E6DpmxdaDH9xQ8rlQ9PL36CF59+idyvdoNKIsoUjVbSoimNoEwqQyvpceLAardSYy6hjzwYHXoKG09QW3WQGy+5A8N/pjIUFRXx3drvaCiyQ5SM0ymjV4dSdLKES+ZPIDV9DEVFRcTHx3tVlCx/YwUhNiPF1QeRVTL9YsaSd+jIGT8njFdEIdNkMlFRUcHc6U+T3Ngfc52D/VWbQILQMAOVFZU4GyRMmkj6RQ6m7kA9u3/awyWXTqC4uJji4mK2bsziwI7DIEGjqp6ohmjC1D1AhjLraYZkpMBPTqQCCUlSEeLUolZD7PAQlr73Cj179nRNHomIiPDpsxKfqd1ubxYIlY0ynjLi1joWPf2+lNltW7w+BHzhiEVAB/jzn/9MRUUFx44do7y8nC+//LJD03a7O86ZoKvU3bZleoQvxufuvK3wKvWn3tYXKFsiBZ3hfnRW8sPutIQvXx5PlohhYWG8umIJz4X/nvJd9WglHT+VbEcdosZhaQr4SFBjLyfWmYBJFYEKFX0YyrGqffz4713s3raXiuIq8k4eZ0DUME4UHkXbaCKuZxxmWwNJseEumVNCQgJ5eXlERUW5JgUrcezYMb77vx30N6WjVRtosFeTX7kX2fhLE8e2f23jL+/9DafDSf+R/SgvLMMYZmTqfb9h1d/XEFGTQFwvHeVlFYTUOWlIKiFUq8FcYsOBHWtIAw3Weo4UHmD5H4rYsHYj+T+WUF5cjqXKxpDewwg1mcjN20K8IQWruREJFSEqDRMnXUTm3Ie56/r7cVSpcMg2+g/pzYOPzqBnz54AbR6VLiRa7s+Xt6aDtgZiZXbbnrl03qA0xxFm6KJZw2AwkJ2dzalTpygsLGTChAn89a9/JT3d8ynnbMc5Qy+IoFNbW+sKFr6gNd2t3W53jVEXPgn19fVYrVbXQyR43M6Q0PhSnfZES4D3L557RqjX68/4YgqNb1VFFaPTRvHf192HXBRCLTWEqAxUO0rpKScSSxISTUH+qHYvYT1CGZ9wOaeOn8JqtlMXVk5MeE+OVhxm8LDBHDl5AMwqUDmZeMPFFB0twVmsRtY7mHjrOO576F7Xfn/K+Yln5/6e+mMmjJoooMmj4Mey1YSaQhg2YggpfVP4eet+hoamUmkuY9fRnZjkKModhYSodDiNNnpFDUAtqaivr8OOlV8/8l8k9Uriu1WbOJBziMExIzhwLJcYOZGklAR2n9xJv8Q+FNcUEV4VAwaZlH69OVJ6EJyQFJmCw26nPrySF959hl69eiFJEidOnKCwoJB+A/p5fIG0BiVn3x6Dmpa6v5TZqCiWtaTt9ReUkjaj0YjD4WDJkiVkZ2ezYsUK+vVrKqIePnyYxMTENr+YuhnOfU5X8Jt1dXWEhIS0yfquoqLCxTcqr6fU27rztu7VW/H/lfxaezt9BJRHvZYCoa9oyZpPZMHC4aktL47CwkKefvRZ8vPyUWlVGG1h5Obmkmjrhw4DhdIJjL1DSA5PoZe2P3lHTyJZVJToTpHefzyl6kIiBhg5/PdCQqUwZFlmrzWLccmXEdMjGhkolk7ywgfPEB0dTVFREc89sIjqIw3kW0voYxqNEweFtYeQzQ3EyPFUSqVUqytJ0vUjJAKKawpJqO9HvnyYvqphSKhwqGwckfaRoEkhRpOAQ23HONLBu1++hV6vZ+3qdax4dSWOwwYS4xLRG/ScPHKKWlMJMaZYKguqCdNFkNK/NxWU0H9iL8ryKpAlmZum3UBaRmqzwObOufqKQDUguHcsisnIHd2vt/XcJW0HDhxg9uzZ3HzzzcycOTMg7cldjCCn6+vfUXax6XS6VnlbIWnyJjB3r+L68iALugJaFrq3BZ48G5QvDnEPQiOpLHa0tN+EhATe/ext138fOnSIzd9t4ds132G3WJh61S389sHpzJz6KI4qO6HhRipKKtBoQ2hwNBA7LJLjB/LQy0bXqHatbMBcZ4ZoCQnQ2HU4HA7Cw8PZsG4jxroIjjYeJ7zRyAlbDg6VA0djA4Ol0SCBGg1WpxWnQ6aurgG704aVRoyEoUKFDKhlDQZVKMYwA6EGAxER4ZRXFnPy5EkGDRrENb+ajCnMyMr5f8YY0iS+t2utaNQhJEX0pqRuB9XGRmp6GLjihglMvffOM343bTWlUUJ5zA/E6UnUCkTQ1Wq1rqSiPfv1BtGODLg4+mXLlvHNN9+wYsWKLvM/6EoEgy64MlWheWxJbysCoeh6UgbClooH3vhWpSOY0tzDHxIwb3DPoI1GYzO7PSUn6M4Pe3txDBo0iEGDBjHj4d82u5ffzr2XD5d9gipSxtRfzaiBY0juk8R9D97LzOlzyN9ThZqmJgOH2k6jtq7p9+20o0mQSUlJQZIkeqUkY9NY0IZoibb2JMoWy0kOE0JT0BafuwTojToa7JVE9Yjg9OkTSLJMrJyIStJgxYxd10h8j3jC9U3DDWWtjejoaNe9XHzJxfz76ix+3nwYySnR/9p44hNjqSyp5p5pU7nrXu+V9fZ2fglOXafTtauI5Qu8cbft7VTzJCUTz5jIbo8fP87MmTOZNGkS69evb7eX79mOc4ZeULb+Cn7VV1RVVbkeGlEVFmS/CLzium2Vz7jDmwYTcGUegepnF7yar/fizQ3KGz/srf9fiaqqKn5z3X9TfqwGh8rKBRcN4ZrrJ7N7+170Jh2PPP4/Lp2mLMu8umgpf3v/K8Ir49CqQrDqGzlWv59YezImZySN1FOqK+DCAeMYOCmRab+9i1kzHmV/ziEcNjs6lRFDtJbnly7g689WYS504AyxceO913H7Xb8+Y3+lpaU0NDS4xuP4m+8Ugc1ms7lmiwHtPiG1tlZrultf9+vNu0GSJJfRk8FgQJIk3nvvPT7//HP+9Kc/ceGFF3boPtqC1157jXfeeQdJkhgxYgTvv/++z5O8O4hzn9NVGig7HA6fDGzE0UdU6g0Gg9/1tr7uW0jARJBXPsStHfN9XactxThv8PbiELImSWoanOkrLVJXV+fqpmsNp0+f5pX/XUpFfhWGMB0PP/EgP2zfSfb3O9CH6kjpncKIC4dzxeRJrt/n+m83cCj3EKnjU7lg+DBkuWl6QUVFBREREYSHh5+h8FAWfgwGQ0B4R098p1hb+U9bThye4J44+PNexHfGbrc3axd+4YUXKC0t5ejRowwfPpw33nijU8emFxQUMGHCBHJzczEYDNx2221cd9113HPPPZ2x/LkfdKGJa7VYLNhsNkymM8doC7jztna7nZCQkGZZnxBtB9JFSamFFUFd7E9Z6OjIl86fxThva3gqLPrLQlAJ9+4lfxQWPSk8RPbZlpbytqItQd2d+vH1mWjLqaMjcOehAVasWMHGjRsJCQkhPz+f/fv3s2nTJsaO9dwG7m8UFBQwbtw4du/eTXh4ODfddBMzZ85k8uTJnbH8+VVIa6nZwd19TPC2ooCkLDCo1eouk4Ap+UCR+bgXOUSRzdsx312iE6h7UZrseCosKs1+2putdVQ65Q5PhUVlgBJ7EvPq/Pni8KSFbu2aQmmi/AzFOBuRYYoRT0pttjjm+1t3q4RQWYhmitLSUubMmUNycjJffPGFKwiLekhnISkpiccee4zevXtjMBiYPHlyZwVcrzinMl1PnroC7npbd95WyXWKTKcjTQae4O+ssyUZmCjIOByObpOpgfdsraVWVvegHqhTh6eg7i/vWSX8lal7uw8RhO12O9D8Je6tOaI9a4nTjfj8v/76a1599VX+8Ic/MGnSpC5t462srOSWW27hL3/5C5GRkfz617/m1ltv5a677uqM5c+vTFf5IhG8rTAuUXZxiQdCzCVzzzp8yS49mdB4glIC5q+s0z1bE25mFovF9WdinLs/izLuPga+ct0tZWstdVAJfwsIXKbmHtSVrdveFAjuQy19Oea353fWHojsVnSudaRLrSW4j+ipqqpi7ty56PV61q9f3yYvk0Bh/fr19O3b11WInTJlCtu2beusoNsizqmgKzIkcVRU8rYRERGuh09ABKiWpqMqg4RotnAfg+M+/sS96NUZEjBoHtRNJpMrUHiTrbkH4tbgnqn7o925pZlv4mUhPk8h5fPnMb89etj2SAPFMV+tVgesRdxTQU758vBEpYgXh6BQfGnuEVSc3W53FUo3bNjACy+8wIIFC7j++uu7NLtVonfv3mRnZ9PQ0IDBYGDDhg0tTofoTJxT9II4UlVVVbkkN+I4quR5RdFHpVJ1eFift6KXWEsciwPpx9CWDKq1IpKnicJtlZq1F0qPAfE783bMb08G3xnFJRHUlAENOpZdtgR/qCx8oVIA14nAYDBQV1fHU089RX19PcuWLfPbtFxfUVVVxfTp09m3b59LljZ+/PhmP/Pss8/yl7/8BY1Gw4UXXsg777zTpm7VDuD8UC+YzWaXe5PJZPKqt1WqBfwNIV0TmbcI+N6CWluhDBwd5TrdMx/3L5z4s0BZSEJzftCXz8aXar4nDr4zZGDguYXXF5/ctgRib9mtP6CkUgSNIssyv/71r4mLi+Onn37it7/9LY8++mhnaV+b4e677+aSSy5h+vTpo3HOPQAAGDlJREFUWK1Wl566m+D8CLq1tbXIskx9fb3LLEMcT0U2GIiHU8CbBMxbUGurFlc5JSJQgUNIptxfHv4sLIJ/s05vRj9CxqYslAX65dHaicCX56KlY35nvTyU43OEPedzzz1HXl4e4eHh5ObmcuTIEUpKStrUkNRRVFdXM3r0aI4dO9Zt6Aw3nB9B12q1ukzJ7Xa7K4iJI75OpwtYMaatEiD3gox7ptZVLcJiHU8G1u3pTvOGzggcyuKieAH7wl22Ff5SWfhyzBf3FEhlirLwJ15SOTk5zJ07lxkzZnDPPfe4PufGxsZOz3R37drFjBkzGDZsGLt37yY1NZXXX3/d56nenYDzI+jed999FBYWMmbMGEwmE3v37uXFF1902cjJsnzGl60jnJq/JWCesh5o3iIs+LRAfdHa+vLwJFtrLVPrrEp+e2Vgbe0A7MiUBV+gzOCVrcLt1Ty3BndZm91u56WXXuLHH39kxYoV9OnTp8NrdBQ7d+5k3LhxbN26lbFjx5KZmUl4eDgvvPBCV29N4PwIurIss23bNn73u9+Rn5/PxIkTKSgoYODAgaSnpzNu3Dj69+8P4DFAtPWI7+v8s47cj1Kq5t4iLF4g/viyiXU6qh91D2pi0oEoegEuCVsgdKpiD23JOls7dXiTgXVGt1d7W4XbSv8oX7riZZibm8vs2bO5/fbbefjhhwPyebUHRUVFjBs3jhMnTgDwr3/9iz/84Q+sXr26azf2C84Pna4kSdTV1XHPPffw0EMPuQZFHjx4kKysLN5++21yc3PR6XSMGTOG9PR0MjIyiIyM9Ki5VAY1gc484ntapzV5kqc9+7qOPzq9WpJUiZeU8LUQzSptla21hkDIwDxptIUMTPhFBIpTVVIw7nIzb5pnX7sWlesopwo7nU6WLl3K+vXreffddxk8eHBA7q+9iI+Pp1evXhw8eJDBgwezYcMGhg0b1tXb8gnnVKbrC2RZpq6ujp07d5KVlcX27dspLi6md+/epKWlMXbsWC644AJXO3BXHPHbmj15q4q3ZEjdFVmacp327NnXdQJVLFVW8sV+lQHbH6oUAX/djy+KCdHBJl7uR44cYdasWVx99dU89thjAZMHeoPD4SAtLY2kpCRWrVrl8Wd27drlUi7069eP999/n6ioqE7eaYs4P+iF9sLpdJKXl0dWVhbZ2dns3r0bWZYZOXIkaWlp6PV68vLymDZtWjMzF39b7ym5tI7oh1vTtUITnSCohEBXvn25n45wrcosraO6a28QWadQjYiTR3vUB76sA7i8jv0Fd125zdY0V+7f//43n3/+OUajkd27d7Ny5cpOM6bxhFdffZWdO3dSU1PTYtDt5ggG3bZAcFurVq3i+eefJz8/n4svvhhZlsnIyGDs2LGMHj0arVbryn6gfe3BcOYRvy1/ty335H7EV5qj+POI769CmS9cqwgcgZSBeeI6W1qnIw5xbVmno/ejzKJDQkLYtWsXr7zyCmVlZZjNZnJzc3nooYd45ZVX/L5+a8jPz+fuu+/mqaee4tVXXz3ngu45xen6C5IkodfrOX78OHfeeSezZ89Gp9NRXFxMdnY2mzdvZsmSJZjNZoYMGeKiJfr27ev64rTWHgxnHr07MrLdG1pqpGjJ96C9cipvPgbtgTeuVbjFiZ+z2WzNgpu/skNltu5LC69yz54c4lpqxQZchcxAtQrDmeNzJEni008/5YMPPmDp0qWu7NZisVBdXR2QPbSGWbNmsXjxYmpra7tk/UAjmOl2AHa7nZ9//tlFSxw6dIjQ0FBSU1PJyMggLS2NsLAwj1kaNB3x1Wp1pxyJwTfP1va22yobQwLZJuyp8Nce2Vpr8KRT9fd9KIteomvRn5JGJZQvRMERFxcXM3v2bPr168eiRYswGAx+WasjWLVqFWvWrGH58uWu5OZcy3SDQdePkGWZ6upqduzY4SrSVVRU0LdvX5dkLSoqitzcXC666CLgF1Mdfwr1xV78dcRXBmAxOVapkhCBI5Ddfm2RgbUkW/NV1+rJ/yEQcOeiRSOPkk7xhxG8+9QIlUrFl19+yRtvvMHixYu59NJLu01X1xNPPMHHH3+MRqOhsbGRmpoapkyZwieffNLVW2srgkG3q+B0Ojl69Chbtmxh5cqV7Nmzh8svv5xBgwa5aImYmJhmQaIjonf34KTT6QLi2SoCrSjEBOrlAf4zdPH08nBXHYiuxkBkt8q9+MLddtToR/ksCOVIZWUljz76KBERESxZssQ17bo74lzNdIOcboChUqkYOHAgf//730lMTOTzzz8nLi6OnJwcsrOzeeKJJygoKCA+Pt6lGx45cqSLp2yLh68ITrIsB2xShIBwdBP2fu6erR2d6QXt65BrCUqbTgFlQBPUCOAySrLb7X59ecCZelhvL8T22EiK50OcdJzOpom/KpWKb7/9lhdffJHnn3+ea6+9tlOz21OnTjFt2jSKi4uRJIkZM2aQmZnZaet3JwQz3U6CyGA9QZZl8vPzyc7OJjs7mx9//BGr1crw4cNJS0tj3LhxJCcnNwsSyq40lUrlytC60xHfPbME330aAj1hQUDZTCGohJZkax3pAAykMsGT0Y8sNw3efPPNNxkwYACrV69GrVbzxhtv0KNHD7+s2xYUFha6WvRra2tJTU3lH//4x1nT0NAOBOmFsw1Wq5U9e/a4AvHRo0eJjIwkNTWVsWPHkpqail6v5+TJk8TGxp4RGPxZhAH/HPF9KXipVKo2+wO3B56O3i0d0TvabqvMbgP9AhEOZ2Lg6vz588nKyuLEiRPExcWRnp7O+++/3+XGMDfeeCOPPPIIV111VZfuI4AIBt2zHbIsU15ezvbt28nKymLLli0cPnwYo9FIZmYm48ePZ8CAAcAvPfnQfvmXcl1/HfE9Xdu9iq90AfOnt4QS7q3CbX2BeLOQVAZioFN0t3Cmf6/ZbOa5557j9OnTvPnmm8TGxnLkyBFycnK44447urRwduLECSZOnMi+ffu6NafcQQSD7rmEPXv2MGnSJB577DGuueYaFz/ckq+E4CfbmqH5ywSnNbgbmLtX8cE/ExcC1SosfHE9BWJJktBqtX5tEXZfWzk+R6PRsGPHDubNm8fDDz/MXXfd1W1MagDq6uq49NJLeeqpp5gyZUpXbyeQOHeD7q5du3jwwQdd9orLly8nIyOjq7cVUMiyTGFhIYmJiWf8f0++Er169XIF4eHDh3v0lVBSE6II0xlVfF+O+P7Q4fqDHvH1niwWiyuwixdIWzrTfIXSNMhgMGC1WnnxxRfZt28fb731Fr179/bz3XUMNpuN66+/nquvvpo5c+Z09XYCjXM36E6ePJnZs2dz7bXXsmbNGhYvXszmzZu7elvdBt58JVJTUxk3bhzx8fHN2m0lqWmQocjQ/H28h44FQV9abZUKj0DRI+5orfjXmubZ1yzeU+PGnj17mDNnDlOnTuWhhx7qVtktNO357rvvpkePHixdurSrt9MZOHclY5IkUVNTAzSN8HDP/s53qFQq+vbtS9++fbnzzjtdmdhPP/1Edna2a/SKVqulvLyckSNH8uqrr6LVas+Qf/mjSOcPjri1VluRPYuEQjQfBLIo50sjSmuyNaFA8aZ5Vo7PCQsLw2638/LLL/P999/z4YcfMnDgQL/fnzesXbuWzMxMHA4H06dPZ/78+R5/buvWrXz88ceMGDGC0aNHA7Bo0SKuu+66ztxut8BZn+nu37+fq6++2pX9bNu2jZSUlK7e1lmF559/nmXLlvGb3/wGo9FITk4ODQ0NDBkyhPT09Ga+EiJDa08zRGfJwATPabPZzjD87siECE9QBkF/dK95a4iApiBdUVFBr169OHr0KLNmzeL6669nzpw5AaNMWoLD4WDQoEF89913JCcnk56ezp///OdzWQbWFpzdme6VV15JUVHRGf9/4cKFbNiwgddee41bbrmFv/71r9x///2sX7++XessW7aMP/3pT6jVan71q1+xePHijm79rMBFF13Egw8+SM+ePV3/T+kr8cYbbzTzlUhPTyc9PR2dTuea1+WtSOd+HA6Ei5py38pMUBkE3V3LWtu3NwTKm8FTQ4RQJogXXWZmJtnZ2YSEhHDzzTfTt29famtrO30S7o4dOxgwYAD9+vUD4I477uCrr74KBt1WcNZnuhEREVRVVbm+3BERES66oS3YtGkTCxcuZPXq1eh0OkpKSoiLiwvAjs9OtOYrMXbsWIYMGYJKpWqmOhBuZmq12u/esO77a08QbE3+5Ul14O/s1tve3CVneXl5zJw5k/Hjx3PRRRfx448/smPHDl544QVGjhwZkH20hC+++IK1a9fyzjvvAPDxxx+zfft2/vjHP3bqPropzu5M1xsSExPZsmULl112GRs3bmw3p/Xmm28yf/58dDodQDDgukGSJCIjI5k8eTKTJ08GfvGVyMrK4tNPP2Xv3r2o1WpGjRrFwIEDycrKYtq0aYwZMwZZlqmtrQ3YfDehUW2rnaQ7zyrkXyIICymb2Lc4+hsMBhd1EQi4twsDfPjhh3zyySe8/vrrpKenA3DttdcGbA9BBAZnfdBduXIlmZmZrllib7/9druuc+jQIf71r3/x1FNPodfrWbJkievBDsIzhK/EwIEDmTZtmkuytmDBAubPn8/48eP5/e9/T1xcHGlpaWRkZDBq1CjUanUz34D22hkq9b3+8poQ1IIyoCr1veK+zWYzVqv1jGy4oy8QT9ltUVERmZmZDB06lI0bN3b6uPOWkJSUxKlTp1z/nZ+fT1JSUhfu6OzAWR90J0yYQE5Ojk8/640bttvtVFRUkJ2dzQ8//MBtt93GsWPHuo3l3dkAkTWWlJSwY8cOhg0b1sxXYu3atSxatKiZr0RGRgYpKSk4nU4sFotPGlx3DwiTyRSwz6kl2kKZDSsN4L3REq1BKaMT9/TFF1+wfPlylixZwoQJE7rV85iens7hw4c5fvw4SUlJfP7553z22Wddva1uj7Oe0/UXrrnmGubNm8fll18OQP/+/cnOziY2Nrbd13zllVd47LHHKC0tJSYmxl9bPethtVrZvXs327dvd/lKREREuIJwWloaBoPBY1OBSqVymX4H2kmtLdytOy3RFrMcT51y5eXlzJkzh7i4OF566SXCwsICdp/eMHfuXP75z3+i1Wrp378/77//frOC3Zo1a5g1axYOh4P77ruPp556qkv22Q1x7jZH+AtvvfUWp0+f5ve//z2HDh3iiiuu4OTJk+3OLE6dOsX06dM5cOAAOTk5waDrBe6+Ej/88AM1NTUMHDjQ5Tncv39/cnJyGDx4sKvTy1077E9PCH8oE1ozyxFKCWHfKWR0q1ev5uWXX2bhwoVcddVVXZrdrlu3jkmTJqHRaJg3bx4AL730Upft5yxCMOi2BqvVyn333ceuXbvQarUsWbKESZMmtft6t956K8888ww33ngjO3fuDAbdNsLhcHDw4EGysrL49ttv2bBhA7GxsVx//fWuluaoqKh2mXt7g3trbSDGuHsa0/Pyyy8TGhpKTk4OERERLF++vDuNEwfgyy+/5IsvvuDTTz/t6q2cDTh31Qv+glar9dtIkK+++oqkpCRGjRrll+udj1Cr1QwbNoy4uDiefPJJnn76ae655x5XJ91nn31GUVERvXv3buYrIUmSa+pxW1psAz0TTUCsb7VakSTJNRwyOjqa9evXU1BQQEFBAfv37+fDDz/sVs/Qe++9x+23397V2zjrEcx02wlvRblFixaxbt06IiIi6NOnT4cz3dZ4tXMdVVVVHu+3JV+JESNGuGiJxMTEZg0RnjrShDwrUNmtgCeDn4aGBp555hnKy8tZvnw5sbGxWCwWdu3axdChQzvF+tDbs3zjjTe6/n3nzp38/e9/71bFvG6MIL3QWdi7dy9XXHEFRqMRaJLRJCYmsmPHDuLj49t1zSCv5hvcfSWys7PJy8sjJibG1UU3ZswYdDqdR/9erVbrd/N3AXcPX5VK5RrXlJmZyZ133tltg9kHH3zAihUr2LBhg+u5DqJVBINuV8Efma4SQV6tbZBlmaKiIrKzs9m+fTs7d+6koaGBiIgI9uzZw9NPP80dd9zRrOgF+LVIJ5o3RHZrsVhYuHAhhw4d4q233urW2ta1a9cyZ84ctmzZ0iElz3mIYNDtKvg76N5www3cfvvt3HXXXX653vkGu93OAw88wDfffMPUqVMpLS3l0KFDGI1GUlNTycjIID09nfDw8A4X6ZTNG8JzYteuXTz66KPce++9TJ8+vdtZMLpjwIABWCwWoqOjARg3bhxvvfVWF+/qrEAw6HZ3BJpX89WC73zAypUruf322118aWu+EhkZGQwdOtTF//oyZNN9fI7dbmfJkiVkZ2fz1ltv0b9//y65dyWCOvKAIhh0z3Z0hFcLWvC1HU6nkyNHjriC8J49e1Cr1YwePdpl8BMbG+uxSCf0uFqtFoPBwP79+5k1axZTpkxh5syZnW7B6AlBHXnAEZSMnc1Yu3YtixcvZsuWLe0qZAQt+NoOlUrFoEGDGDRoEHfffTeyLNPQ0OCaRzd//nwKCgqIj493FekcDgfFxcVcc801VFdXk5aWxsCBAykrK2Pu3Lnceuut3SLgAsyePZvFixe7TlFBdB6CQfcswCOPPILFYnGNq24rr1ZQUECvXr1c/52cnMz27dv9vs9zGUJTO3HiRCZOnAjg8pXYvHkz8+bN4+jRo0ycOJGsrCxSUlLIyMhg2LBhxMbGsm7dOl588UWOHTuGwWDo0nsJ6si7FsGgexbgyJEjXb2FIDxAkiR69erFkSNHGDFiBBs3biQ0NJTdu3fz8ccfM3v2bG644QbXzwt5WmfAFx15EF2DYNA9D+BvC75Tp04xbdo0iouLkSSJGTNmkJmZ6Y+tnpVYsGBBM9pA0A3u6EwdbkvTU/bu3cvx48ddWW5+fj5jxozpkI48iLYhWEg7D2C32xk0aBAbNmwgKSmJ9PR0PvvsMy644IJ2Xa+wsJDCwkLGjBlDbW0tqamp/OMf/whyxGch/C1pDMKFYCHtfIZGo+GPf/wjV199tcuCr70BFyAhIYGEhAQAwsLCGDp0KAUFBcGgG0QQPiCY6QbRIZw4cYKJEyeyb9++TvEJCMI7ztfhqt0QwUw3CP+jrq6OW265haVLl3Y44DocDtLS0khKSmLVqlV+2uH5hU2bNvHVV1+xe/du13DVILofuncPYhDdFjabjVtuuYWpU6cyZcqUDl/v9ddfZ+jQoX7Y2fmL4HDVswPBoBtEmyHLMvfffz9Dhw5lzpw5Hb5efn4+q1evZvr06X7Y3fkLMVx17NixXHrppfzwww9dvaUgPCBILwTRZmzdupWPP/6YESNGMHr0aAAWLVrEdddd167rzZo1i8WLF1NbW+vPbZ6TCA5XPfsRDLpBtBkTJkyglQKsz1i1ahVxcXGkpqayefNmv1zzXEZL+ltoohemTJmCJElkZGSgUqkoKysLWjJ2MwTphSC6FFu3buXrr7+mT58+3HHHHWzcuNEvtpVVVVXceuutDBkyhKFDh5KVleWH3XZv3HTTTWzatAloohqsVmtQf9sNEZSMBdFtsHnzZpYsWeIX9cLdd9/NJZdcwvTp07FarTQ0NJyVI4527drFgw8+SGNjIxqNhuXLl5ORkeHxZ/09XDWIDiEoGQvi/EF1dTXff/89H3zwAdA0dFSr1XbtptqJxx9/nGeffZZrr72WNWvW8Pjjj7dIw/hzuGoQgUOQXgii2+Cyyy7zS5Z7/PhxYmNjuffee7nwwguZPn069fX1fthh50OSJGpqaoCml0liYmIX7yiIjqI1eiGIIM46SJKUBmQDF8uyvF2SpNeBGlmWn+nANWcD02mi3PYC98qy3OiXDXtfdyjwLU3HVRVwkSzLeYFeN4jAIZjpBnEuIh/Il2VZmAZ/AYxp78UkSUoCZgJpsiwPB9TAHR3e5S/XXy9J0j4P/9wIPATMlmW5FzAbeNdf6wbRNQhyukGcc5BluUiSpFOSJA2WZfkgcAWQ28HLagCDJEk2wAic7ug+BWRZvrKlP5Mk6SNA+Gb+H/COv9YNomsQzHSDOFfxO+BTSZL2AKOBRe29kCzLBcAS4CRQCFTLstxZLuCngUv/8++TgMOdtG4QAUKQ0w0iiFYgSVIU8DfgdqCKpozzC1mWAy4VkCRpAvA6TZl2I/A/siznBHrdIAKHIL0QRBCt40rguCzLpQCSJP0duAgIeNCVZfnfQGqg1wmi8xCkF4IIonWcBMZJkmSUmowMrgD2d/GegjhL8f/ki9tkavMCHwAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = plt.axes(projection='3d')\n", "ax.scatter(x, y, z, c=z, cmap='viridis', linewidth=0.5);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "This leaves a lot to be desired.\n", "The function that will help us in this case is ``ax.plot_trisurf``, which creates a surface by first finding a set of triangles formed between adjacent points (remember that x, y, and z here are one-dimensional arrays):" ] }, { "cell_type": "code", "execution_count": 140, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = plt.axes(projection='3d')\n", "ax.plot_trisurf(x, y, z,\n", " cmap='viridis', edgecolor='none');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Example: Visualizing a Möbius strip\n", "\n", "A Möbius strip is similar to a strip of paper glued into a loop with a half-twist.\n", "Topologically, it's quite interesting because despite appearances it has only a single side!\n", "Here we will visualize such an object using Matplotlib's three-dimensional tools.\n", "The key to creating the Möbius strip is to think about it's parametrization: it's a two-dimensional strip, so we need two intrinsic dimensions. Let's call them $\\theta$, which ranges from $0$ to $2\\pi$ around the loop, and $w$ which ranges from -1 to 1 across the width of the strip:" ] }, { "cell_type": "code", "execution_count": 141, "metadata": {}, "outputs": [], "source": [ "theta = np.linspace(0, 2 * np.pi, 30)\n", "w = np.linspace(-0.25, 0.25, 8)\n", "w, theta = np.meshgrid(w, theta)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Now from this parametrization, we must determine the *(x, y, z)* positions of the embedded strip.\n", "\n", "Thinking about it, we might realize that there are two rotations happening: one is the position of the loop about its center (what we've called $\\theta$), while the other is the twisting of the strip about its axis (we'll call this $\\phi$). For a Möbius strip, we must have the strip makes half a twist during a full loop, or $\\Delta\\phi = \\Delta\\theta/2$." ] }, { "cell_type": "code", "execution_count": 142, "metadata": {}, "outputs": [], "source": [ "phi = 0.5 * theta" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Now we use our recollection of trigonometry to derive the three-dimensional embedding.\n", "We'll define $r$, the distance of each point from the center, and use this to find the embedded $(x, y, z)$ coordinates:" ] }, { "cell_type": "code", "execution_count": 143, "metadata": {}, "outputs": [], "source": [ "# radius in x-y plane\n", "r = 1 + w * np.cos(phi)\n", "\n", "x = np.ravel(r * np.cos(theta))\n", "y = np.ravel(r * np.sin(theta))\n", "z = np.ravel(w * np.sin(phi))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Finally, to plot the object, we must make sure the triangulation is correct. The best way to do this is to define the triangulation *within the underlying parametrization*, and then let Matplotlib project this triangulation into the three-dimensional space of the Möbius strip.\n", "This can be accomplished as follows:" ] }, { "cell_type": "code", "execution_count": 144, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# triangulate in the underlying parametrization\n", "from matplotlib.tri import Triangulation\n", "tri = Triangulation(np.ravel(w), np.ravel(theta))\n", "\n", "ax = plt.axes(projection='3d')\n", "ax.plot_trisurf(x, y, z, triangles=tri.triangles,\n", " cmap='viridis', linewidths=0.2);\n", "\n", "ax.set_xlim(-1, 1); ax.set_ylim(-1, 1); ax.set_zlim(-1, 1);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Visualization with Seaborn\n", "\n", "Matplotlib has proven to be an incredibly useful and popular visualization tool, but even avid users will admit it often leaves much to be desired.\n", "There are several valid complaints about Matplotlib that often come up:\n", "\n", "- Prior to version 2.0, Matplotlib's defaults are not exactly the best choices. It was based off of MATLAB circa 1999, and this often shows.\n", "- Matplotlib's API is relatively low level. Doing sophisticated statistical visualization is possible, but often requires a *lot* of boilerplate code.\n", "- Matplotlib predated Pandas by more than a decade, and thus is not designed for use with Pandas ``DataFrame``s. In order to visualize data from a Pandas ``DataFrame``, you must extract each ``Series`` and often concatenate them together into the right format. It would be nicer to have a plotting library that can intelligently use the ``DataFrame`` labels in a plot.\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "\n", "An answer to these problems is [Seaborn](http://seaborn.pydata.org/). Seaborn provides an API on top of Matplotlib that offers sane choices for plot style and color defaults, defines simple high-level functions for common statistical plot types, and integrates with the functionality provided by Pandas ``DataFrame``s.\n", "\n", "To be fair, the Matplotlib team is addressing this: it has recently added the ``plt.style`` tools, and is starting to handle Pandas data more seamlessly.\n", "The 2.0 release of the library will include a new default stylesheet that will improve on the current status quo.\n", "But for all the reasons just discussed, Seaborn remains an extremely useful addon." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Seaborn Versus Matplotlib\n", "\n", "Here is an example of a simple random-walk plot in Matplotlib, using its classic plot formatting and colors.\n", "We start with the typical imports:" ] }, { "cell_type": "code", "execution_count": 145, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "plt.style.use('classic')\n", "%matplotlib inline\n", "import numpy as np\n", "import pandas as pd" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Now we create some random walk data:" ] }, { "cell_type": "code", "execution_count": 146, "metadata": {}, "outputs": [], "source": [ "# Create some data\n", "rng = np.random.RandomState(0)\n", "x = np.linspace(0, 10, 500)\n", "y = np.cumsum(rng.randn(500, 6), 0)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "And do a simple plot:" ] }, { "cell_type": "code", "execution_count": 147, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Plot the data with Matplotlib defaults\n", "plt.plot(x, y)\n", "plt.legend('ABCDEF', ncol=2, loc='upper left');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Although the result contains all the information we'd like it to convey, it does so in a way that is not all that aesthetically pleasing, and even looks a bit old-fashioned in the context of 21st-century data visualization.\n", "\n", "Now let's take a look at how it works with Seaborn.\n", "As we will see, Seaborn has many of its own high-level plotting routines, but it can also overwrite Matplotlib's default parameters and in turn get even simple Matplotlib scripts to produce vastly superior output.\n", "We can set the style by calling Seaborn's ``set()`` method.\n", "By convention, Seaborn is imported as ``sns``:" ] }, { "cell_type": "code", "execution_count": 148, "metadata": {}, "outputs": [], "source": [ "import seaborn as sns\n", "sns.set()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Now let's rerun the same two lines as before:" ] }, { "cell_type": "code", "execution_count": 149, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# same plotting code as above!\n", "plt.plot(x, y)\n", "plt.legend('ABCDEF', ncol=2, loc='upper left');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Exploring Seaborn Plots\n", "\n", "The main idea of Seaborn is that it provides high-level commands to create a variety of plot types useful for statistical data exploration, and even some statistical model fitting.\n", "\n", "Let's take a look at a few of the datasets and plot types available in Seaborn. Note that all of the following *could* be done using raw Matplotlib commands (this is, in fact, what Seaborn does under the hood) but the Seaborn API is much more convenient." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Histograms, KDE, and densities\n", "\n", "Often in statistical data visualization, all you want is to plot histograms and joint distributions of variables.\n", "We have seen that this is relatively straightforward in Matplotlib:" ] }, { "cell_type": "code", "execution_count": 151, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = np.random.multivariate_normal([0, 0], [[5, 2], [2, 2]], size=2000)\n", "data = pd.DataFrame(data, columns=['x', 'y'])\n", "\n", "for col in 'xy':\n", " plt.hist(data[col], density=True, alpha=0.5)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Rather than a histogram, we can get a smooth estimate of the distribution using a kernel density estimation, which Seaborn does with ``sns.kdeplot``:" ] }, { "cell_type": "code", "execution_count": 152, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for col in 'xy':\n", " sns.kdeplot(data[col], shade=True)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Histograms and KDE can be combined using ``distplot``:" ] }, { "cell_type": "code", "execution_count": 153, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.distplot(data['x'])\n", "sns.distplot(data['y']);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "If we pass the full two-dimensional dataset to ``kdeplot``, we will get a two-dimensional visualization of the data:" ] }, { "cell_type": "code", "execution_count": 155, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/mn/Developer/working-copies/pythons/venv/lib/python3.7/site-packages/seaborn/distributions.py:693: UserWarning: Passing a 2D dataset for a bivariate plot is deprecated in favor of kdeplot(x, y), and it will cause an error in future versions. Please update your code.\n", " warnings.warn(warn_msg, UserWarning)\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.kdeplot(data);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "We can see the joint distribution and the marginal distributions together using ``sns.jointplot``.\n", "For this plot, we'll set the style to a white background:" ] }, { "cell_type": "code", "execution_count": 156, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with sns.axes_style('white'):\n", " sns.jointplot(\"x\", \"y\", data, kind='kde');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "There are other parameters that can be passed to ``jointplot``—for example, we can use a hexagonally based histogram instead:" ] }, { "cell_type": "code", "execution_count": 157, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with sns.axes_style('white'):\n", " sns.jointplot(\"x\", \"y\", data, kind='hex')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Pair plots\n", "\n", "When you generalize joint plots to datasets of larger dimensions, you end up with *pair plots*. This is very useful for exploring correlations between multidimensional data, when you'd like to plot all pairs of values against each other.\n", "\n", "We'll demo this with the well-known Iris dataset, which lists measurements of petals and sepals of three iris species:" ] }, { "cell_type": "code", "execution_count": 159, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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sepal_lengthsepal_widthpetal_lengthpetal_widthspecies
05.13.51.40.2setosa
14.93.01.40.2setosa
24.73.21.30.2setosa
34.63.11.50.2setosa
45.03.61.40.2setosa
\n", "
" ], "text/plain": [ " sepal_length sepal_width petal_length petal_width species\n", "0 5.1 3.5 1.4 0.2 setosa\n", "1 4.9 3.0 1.4 0.2 setosa\n", "2 4.7 3.2 1.3 0.2 setosa\n", "3 4.6 3.1 1.5 0.2 setosa\n", "4 5.0 3.6 1.4 0.2 setosa" ] }, "execution_count": 159, "metadata": {}, "output_type": "execute_result" } ], "source": [ "iris = sns.load_dataset(\"iris\")\n", "iris.head()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Visualizing the multidimensional relationships among the samples is as easy as calling ``sns.pairplot``:" ] }, { "cell_type": "code", "execution_count": 161, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.pairplot(iris, hue='species');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Faceted histograms\n", "\n", "Sometimes the best way to view data is via histograms of subsets. Seaborn's ``FacetGrid`` makes this extremely simple.\n", "We'll take a look at some data that shows the amount that restaurant staff receive in tips based on various indicator data:" ] }, { "cell_type": "code", "execution_count": 162, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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total_billtipsexsmokerdaytimesize
016.991.01FemaleNoSunDinner2
110.341.66MaleNoSunDinner3
221.013.50MaleNoSunDinner3
323.683.31MaleNoSunDinner2
424.593.61FemaleNoSunDinner4
\n", "
" ], "text/plain": [ " total_bill tip sex smoker day time size\n", "0 16.99 1.01 Female No Sun Dinner 2\n", "1 10.34 1.66 Male No Sun Dinner 3\n", "2 21.01 3.50 Male No Sun Dinner 3\n", "3 23.68 3.31 Male No Sun Dinner 2\n", "4 24.59 3.61 Female No Sun Dinner 4" ] }, "execution_count": 162, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tips = sns.load_dataset('tips')\n", "tips.head()" ] }, { "cell_type": "code", "execution_count": 163, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tips['tip_pct'] = 100 * tips['tip'] / tips['total_bill']\n", "\n", "grid = sns.FacetGrid(tips, row=\"sex\", col=\"time\", margin_titles=True)\n", "grid.map(plt.hist, \"tip_pct\", bins=np.linspace(0, 40, 15));" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Factor plots\n", "\n", "Factor plots can be useful for this kind of visualization as well. This allows you to view the distribution of a parameter within bins defined by any other parameter:" ] }, { "cell_type": "code", "execution_count": 165, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with sns.axes_style(style='ticks'):\n", " g = sns.catplot(\"day\", \"total_bill\", \"sex\", data=tips, kind=\"box\")\n", " g.set_axis_labels(\"Day\", \"Total Bill\");" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Joint distributions\n", "\n", "Similar to the pairplot we saw earlier, we can use ``sns.jointplot`` to show the joint distribution between different datasets, along with the associated marginal distributions:" ] }, { "cell_type": "code", "execution_count": 166, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with sns.axes_style('white'):\n", " sns.jointplot(\"total_bill\", \"tip\", data=tips, kind='hex')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "The joint plot can even do some automatic kernel density estimation and regression:" ] }, { "cell_type": "code", "execution_count": 167, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.jointplot(\"total_bill\", \"tip\", data=tips, kind='reg');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Bar plots\n", "\n", "Time series can be plotted using ``sns.factorplot``. In the following example, we'll use the Planets data:" ] }, { "cell_type": "code", "execution_count": 168, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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methodnumberorbital_periodmassdistanceyear
0Radial Velocity1269.3007.1077.402006
1Radial Velocity1874.7742.2156.952008
2Radial Velocity1763.0002.6019.842011
3Radial Velocity1326.03019.40110.622007
4Radial Velocity1516.22010.50119.472009
\n", "
" ], "text/plain": [ " method number orbital_period mass distance year\n", "0 Radial Velocity 1 269.300 7.10 77.40 2006\n", "1 Radial Velocity 1 874.774 2.21 56.95 2008\n", "2 Radial Velocity 1 763.000 2.60 19.84 2011\n", "3 Radial Velocity 1 326.030 19.40 110.62 2007\n", "4 Radial Velocity 1 516.220 10.50 119.47 2009" ] }, "execution_count": 168, "metadata": {}, "output_type": "execute_result" } ], "source": [ "planets = sns.load_dataset('planets')\n", "planets.head()" ] }, { "cell_type": "code", "execution_count": 170, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with sns.axes_style('white'):\n", " g = sns.catplot(\"year\", data=planets, aspect=2,\n", " kind=\"count\", color='steelblue')\n", " g.set_xticklabels(step=5)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "We can learn more by looking at the *method* of discovery of each of these planets:" ] }, { "cell_type": "code", "execution_count": 171, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with sns.axes_style('white'):\n", " g = sns.factorplot(\"year\", data=planets, aspect=4.0, kind='count',\n", " hue='method', order=range(2001, 2015))\n", " g.set_ylabels('Number of Planets Discovered')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Example: Exploring Marathon Finishing Times\n", "\n", "Here we'll look at using Seaborn to help visualize and understand finishing results from a marathon.\n", "I've scraped the data from sources on the Web, aggregated it and removed any identifying information, and put it on GitHub where it can be downloaded\n", "(if you are interested in using Python for web scraping, I would recommend [*Web Scraping with Python*](http://shop.oreilly.com/product/0636920034391.do) by Ryan Mitchell).\n", "We will start by downloading the data from\n", "the Web, and loading it into Pandas:" ] }, { "cell_type": "code", "execution_count": 172, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " % Total % Received % Xferd Average Speed Time Time Time Current\n", " Dload Upload Total Spent Left Speed\n", "100 836k 100 836k 0 0 974k 0 --:--:-- --:--:-- --:--:-- 972k\n" ] } ], "source": [ "!curl -O https://raw.githubusercontent.com/jakevdp/marathon-data/master/marathon-data.csv" ] }, { "cell_type": "code", "execution_count": 173, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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agegendersplitfinal
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" ], "text/plain": [ " age gender split final\n", "0 33 M 01:05:38 02:08:51\n", "1 32 M 01:06:26 02:09:28\n", "2 31 M 01:06:49 02:10:42\n", "3 38 M 01:06:16 02:13:45\n", "4 31 M 01:06:32 02:13:59" ] }, "execution_count": 173, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data = pd.read_csv('marathon-data.csv')\n", "data.head()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "By default, Pandas loaded the time columns as Python strings (type ``object``); we can see this by looking at the ``dtypes`` attribute of the DataFrame:" ] }, { "cell_type": "code", "execution_count": 174, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "age int64\n", "gender object\n", "split object\n", "final object\n", "dtype: object" ] }, "execution_count": 174, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.dtypes" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Let's fix this by providing a converter for the times:" ] }, { "cell_type": "code", "execution_count": 176, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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agegendersplitfinal
033M01:05:3802:08:51
132M01:06:2602:09:28
231M01:06:4902:10:42
338M01:06:1602:13:45
431M01:06:3202:13:59
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" ], "text/plain": [ " age gender split final\n", "0 33 M 01:05:38 02:08:51\n", "1 32 M 01:06:26 02:09:28\n", "2 31 M 01:06:49 02:10:42\n", "3 38 M 01:06:16 02:13:45\n", "4 31 M 01:06:32 02:13:59" ] }, "execution_count": 176, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import datetime\n", "\n", "def convert_time(s):\n", " h, m, s = map(int, s.split(':'))\n", " return datetime.timedelta(hours=h, minutes=m, seconds=s)\n", "\n", "data = pd.read_csv('marathon-data.csv',\n", " converters={'split':convert_time, 'final':convert_time})\n", "data.head()" ] }, { "cell_type": "code", "execution_count": 178, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "age int64\n", "gender object\n", "split timedelta64[ns]\n", "final timedelta64[ns]\n", "dtype: object" ] }, "execution_count": 178, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.dtypes" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "That looks much better. For the purpose of our Seaborn plotting utilities, let's next add columns that give the times in seconds:" ] }, { "cell_type": "code", "execution_count": 179, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "
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agegendersplitfinalsplit_secfinal_sec
033M01:05:3802:08:513938.07731.0
132M01:06:2602:09:283986.07768.0
231M01:06:4902:10:424009.07842.0
338M01:06:1602:13:453976.08025.0
431M01:06:3202:13:593992.08039.0
\n", "
" ], "text/plain": [ " age gender split final split_sec final_sec\n", "0 33 M 01:05:38 02:08:51 3938.0 7731.0\n", "1 32 M 01:06:26 02:09:28 3986.0 7768.0\n", "2 31 M 01:06:49 02:10:42 4009.0 7842.0\n", "3 38 M 01:06:16 02:13:45 3976.0 8025.0\n", "4 31 M 01:06:32 02:13:59 3992.0 8039.0" ] }, "execution_count": 179, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data['split_sec'] = data['split'].astype(int) / 1E9\n", "data['final_sec'] = data['final'].astype(int) / 1E9\n", "data.head()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "To get an idea of what the data looks like, we can plot a ``jointplot`` over the data:" ] }, { "cell_type": "code", "execution_count": 180, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with sns.axes_style('white'):\n", " g = sns.jointplot(\"split_sec\", \"final_sec\", data, kind='hex')\n", " g.ax_joint.plot(np.linspace(4000, 16000),\n", " np.linspace(8000, 32000), ':k')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "The dotted line shows where someone's time would lie if they ran the marathon at a perfectly steady pace. The fact that the distribution lies above this indicates (as you might expect) that most people slow down over the course of the marathon.\n", "If you have run competitively, you'll know that those who do the opposite—run faster during the second half of the race—are said to have \"negative-split\" the race.\n", "\n", "Let's create another column in the data, the split fraction, which measures the degree to which each runner negative-splits or positive-splits the race:" ] }, { "cell_type": "code", "execution_count": 181, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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agegendersplitfinalsplit_secfinal_secsplit_frac
033M01:05:3802:08:513938.07731.0-0.018756
132M01:06:2602:09:283986.07768.0-0.026262
231M01:06:4902:10:424009.07842.0-0.022443
338M01:06:1602:13:453976.08025.00.009097
431M01:06:3202:13:593992.08039.00.006842
\n", "
" ], "text/plain": [ " age gender split final split_sec final_sec split_frac\n", "0 33 M 01:05:38 02:08:51 3938.0 7731.0 -0.018756\n", "1 32 M 01:06:26 02:09:28 3986.0 7768.0 -0.026262\n", "2 31 M 01:06:49 02:10:42 4009.0 7842.0 -0.022443\n", "3 38 M 01:06:16 02:13:45 3976.0 8025.0 0.009097\n", "4 31 M 01:06:32 02:13:59 3992.0 8039.0 0.006842" ] }, "execution_count": 181, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data['split_frac'] = 1 - 2 * data['split_sec'] / data['final_sec']\n", "data.head()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Where this split difference is less than zero, the person negative-split the race by that fraction.\n", "Let's do a distribution plot of this split fraction:" ] }, { "cell_type": "code", "execution_count": 182, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.distplot(data['split_frac'], kde=False);\n", "plt.axvline(0, color=\"k\", linestyle=\"--\");" ] }, { "cell_type": "code", "execution_count": 183, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "251" ] }, "execution_count": 183, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sum(data.split_frac < 0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Out of nearly 40,000 participants, there were only 250 people who negative-split their marathon.\n", "\n", "Let's see whether there is any correlation between this split fraction and other variables. We'll do this using a ``pairgrid``, which draws plots of all these correlations:" ] }, { "cell_type": "code", "execution_count": 184, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = sns.PairGrid(data, vars=['age', 'split_sec', 'final_sec', 'split_frac'],\n", " hue='gender', palette='RdBu_r')\n", "g.map(plt.scatter, alpha=0.8)\n", "g.add_legend();" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "\n", "It looks like the split fraction does not correlate particularly with age, but does correlate with the final time: faster runners tend to have closer to even splits on their marathon time.\n", "(We see here that Seaborn is no panacea for Matplotlib's ills when it comes to plot styles: in particular, the x-axis labels overlap. Because the output is a simple Matplotlib plot, however, the methods about ticks can be used to adjust such things if desired.)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "The difference between men and women here is interesting. Let's look at the histogram of split fractions for these two groups:" ] }, { "cell_type": "code", "execution_count": 185, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.kdeplot(data.split_frac[data.gender=='M'], label='men', shade=True)\n", "sns.kdeplot(data.split_frac[data.gender=='W'], label='women', shade=True)\n", "plt.xlabel('split_frac');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "The interesting thing here is that there are many more men than women who are running close to an even split!\n", "This almost looks like some kind of bimodal distribution among the men and women. Let's see if we can suss-out what's going on by looking at the distributions as a function of age.\n", "\n", "A nice way to compare distributions is to use a *violin plot*" ] }, { "cell_type": "code", "execution_count": 187, "metadata": {}, "outputs": [ { "data": { "image/png": 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uZmjoHDU1VZSWFFNXX4NGrSbHGMNNyWkE+PqO++sE+PhyR3Yu86Pb+KCylA8/fJdP9n9EekY2KSlzMRqjZQPnKl12mWvJkiXs2rWL0NBQFixYwLFjxyazNpebqctc/f19lJeXUlp6mra2VlQqFWExCUSmpBNsiLqqX6LxLHNdit1mw9JQS0tFCT1tLQDExsaTnp5FcnIqPj6ylTjTORwOuru7qKurpupsJQ2NddjtdrS+fuTGJrAgOv6yIXKxZa6LvUZjdydF9dWUtZqwOxwE+AcwO3EOSUnJxMTE4eMz/qCazq55maugoIAVK1YQGhrKuXPnWLFixUXHffTRR0prdKqpqeGxxx6jq6uLkJAQtm3bRkJCwpgxv/3tb3n77bdRq9V4e3vzyCOPsHz58gmrYTo6d26QyspyystLaWysx+FwoA2LYPbCpYQnJF32UF9XUWs0RCQkEZGQxGBPN221lbTVVPLuuzt5/4N3SJydTGpqOrNnJ+Ll5T3p9YnJ53A46OrqoLGxgcbGehob6+jrG20fHxagJS8ukVR9JNHBoagnaOagUqmIDQkjNiSMc8PDVLa3Um5uoeLMaU6fPoFKpUKvjyQmJo6YmFiiomLx8/O78heeYa64A95kMtHU1MS9997LH/7wh4uOWbx48YQVdPfdd3PHHXeQn5/P66+/ziuvvMKLL744Zsy+ffvIzc1l1qxZlJWV8dWvfpX9+/df9X/wdJ+Z9Pb2UF19lurqSurqa3HY7fgFBhEen0REQjL+waGKX0PJzORiHA4HvW2ttNWdxVJfw/C5Qby9vUlMnENiYjIJCYn4uSH4hGsMDg7Q2mqipcVES0szLS3NDA6OXsgqwNeX+BAd8aE6EnThhAdc/RLoeGYmlzJit1Hf2UFdp4W6TgvN3Z3Yzh+9GhamIzIyyvkRHh6BRqO56teYai43Mxn30VwHDx7kuuuuu+yYJ598kieffPKqC/yUxWJh9erVFBYWotFosNls5OXlsXv3bsLCwi76HIfDQW5uLm+99RaRkRc/4ujSrze9wsRut9PS0kxNTRXV1ZW0t492SfXTBqKLnU14QjIBoboJXQue6DD5LIfdTndrM211VXQ21jE8dA6VSkVUVAyzZycze3YSOl24rG1PAQ6Hg97eHtrazLS3m2lrM2M2t4w53yNCG0hUUAjRwaHEh+nQ+WsV/98qCZPPG7bZaOrupL7TQnN3F009nQycP5Fbo9GgjzAQHmEgIkJPRISe8PCIabc8NiFHc10pSADeeOMNRWFiMpkwGAzOhNdoNOj1ekwm0yXD5LXXXiMuLu6qg2S6GF1PrqGurpr6+jqs1iFUKhWBEZEkzM8jNDqOWUEhU/IPrkqtJsQYQ4gxBofdTl9HGx2N9XQ217N//x72799DQICW+PjZJCQkEheXwKyrOA9GuMbg4AAWi4WOjnYslnba21ppbzdz7vwldAFC/AMwaoNYOMdIdHAoxqBgfD18KdNboyEhLJyEsHDg/P6cc4M0dXfS3N1Fc08XFWdOU1w87HxOcHAIEREGwsMj0OnCCQsLJyQkdFoeijyh39E1tPlSpKioiOeee44//elP1/T8SyWsJ3M4HJhMJk6fPs3p06dpbx/tzusboCU0dvboH9/IaLyu4siWqUClVhMYbiAw3ED8vEUMDfTR1dxIp6mRirMVlJYWAxATE0NWVhYZGRmX3AARyo3uGO+mvb0ds9mM2WymzdyG2dxK/8CAc5y3RoNeG0R6RCQGbRCGwCD0gUEeHxzjoVKpCJnlT8gsfzIio4F/B0xrbw+tvd209vZgbm50XkgOQK1SERYWRoRej/78R0REBBEREfhO4d/bCQ0TpVu/RqOR1tZWbDabc5nLbDZjNBovGHv8+HG+//3v8/zzz5OYmHhNrzeVlrm6ujooLj5JRWUZPd1dqFQqggxRzF54HSHGmCk7+7hWvv5aDMlzMSTPPT9raafT1EBnYx27du1i165d6PWRpKSkkZmZLTOWazQ8PExXVwcdHRY6O8//29FOZ2cnwyP/3gL39fImQqtlTmg44TFaIgICCdcGEuw3a0a9Lz8bMKmfOdF32DZCe38/7f29tPf10t7fh7m+gfKyMuyf2QgPCNASFhpGaJiO0FAdYWE6QkPDCAoK9oif44Qsc00GnU5HWloaO3fuJD8/n507d5KWlnbBFuapU6d45JFH+NWvfkVGRoabqp0cJlMTR44c4uzZClQqFcGR0STNzUYXE4+37IgGPp216AkM1xOXtZBzvT20N9Rgqa9m//49HDy0j8yMbBYsWExIiPKDDqYju91Od3cnbW1ttLebsbSP/tv1uR5WwbP8CfcPICEqBl2AFp2/lnBtIFofX4/4Y+epvDVeGIOCMQYFj7nfZrfTMTAaMpb+fiwDfVh6eylvMTH0mbD29vJGpwsn/Py+mPDw0X89aSPpmlrQX8r8+fM5fvy4oq9RVVXFY489Rk9PD0FBQWzbto3ExES2bNnCQw89RFZWFnfccQdNTU0YDAbn837xi1+Qmpp6Va/lyTOT9vY29u79kLq6arx8fIick44xNfOqemO5msPh4NgbL2MbthKbnUvknDSP+4My0NVB05lTtNWeBYeDjIxsli69kYCAKzernM76+/toamqkqakBU3Mjlo5258XvVKgIDQhAHxCIPjCI8AAt4QFawvy1eE+hI5YcDgfPf/IhQyPD3Jg0lwUxVz473lM4HA76rUPnA6aXtr5eWnt7aevvce70BwjwD0CvjyQqOpbo6BgMBqNL98dMyNFcJ0+eJCcn54L7T506RXZ2NgBbt27lqaeeUlDq5PLEMDl3bpBPPtlLcfFxNF7eRGfOJ3JOGl4e2ObBVFFK9eF/X/M9cdEyjCkXNtjzBEMD/TSVnqSlohQvLw15edezYMHiGXE4J8DwsJWammpqa6toaqx3zji8NBqig0IwBgWj1wadD4/AKRUal3KkoYZdZ4qdt9emZZEbO9uNFSn3aciY+3ow9/bS2tdDc3cX7f29wOhBS5EGIzGxcSQlpaLXGyY0QCckTC51BvzixYspKipSVqGbeFKYOBwOSkpOsW/fHoaGzmGYk0ZcVi7eHnxyVOmeXXQ2Nzhvh0bFkn7TWjdWdGWDPV3UHDtEZ1M9IaFh3LxyNXFxCe4uyyVsNhuVlWVUVpZRW1vNyMgIft7exIXoiAsNIy5ER2RQMBqFvdc81UvHDnG23ey8nRyu5z8WTM8rww5Yh2jo6qC+s4P6Lgumnm4cDgdBgUHMSZnL3LmZ6PWGK3+hK1C0z8Rut+NwOMZ8fKq+vn7GbNm50sjICO++u5OKijMERUQyd+VtBITq3F3WFdnOL4tc6rYnmhUUQvqKNXQ01VNz5ACvvPISS5fewOLFS6fMEsh41NXV8NGe9+jotKD19WOeMYY0QxRxIWGKG3dOFcM222VvTyf+Pr6k6o2k6kcPVhqwDlHR1kppazPHjx3h6NEi0tOzWLbsJpct8V4xTNLT052/ZOnpY5cw1Go13/zmN11S2EzyxhuvUFdXTfy8xUSn50yrP2qeKiw6jpDIKM4W7uPAgb2MjIxw/fU3urusCVFbW8WOHf8gZFYAX563iJSISHlPzTD+Pr7Mi45jXnQcg8NWPqmppPBMCQ0Nddx337dc8ppXDJMPPvgAh8PBXXfdxfbt2533q84fKy09apQZGjpHXV01MRnziMmY5+5yZhS1xos5161g+Nwg5RVnpk2YBAeHABAZGIRxhh0yLi7k5+XN7LAITpkaCZmAFkqXcsUwiY4ePRlnz549LitiJhseHj38Tz0Nz4idClQqFWovL84NW688eIoIDdWRt3gphw8forK9lYUx8SxPTMF/mrX2EFdW12Hhw7NnaOzqIFAbyLLlK1z2Wpf9C/aTn/yEZ555BoAf/OAHlxz3i1/8YmKrmkG02kCio2Mxny0nJmO+bEVOMuvgAJ2NdSxYsMjdpUyopdffSEZmDkWFn3C4tJhTpkZuTEplUezsGfMeGxoZxsfHh9zcXI4cOTLmvI3prufcIO+Vl1Da2oxWG8jKlavJyMh26WHDl/3KMTExzs/j4uJcVsRMl56exXvvvc1gdyf+IdICZDJ1NjfgcDhIS8t0dykTLjg4hFW3foH5Cxbz8cfv827ZaUw93azPmDdh7ds92bnhEXJzc1m3bh0ApcdOuLmiydHe38f/HTnAOdsI1123nIUL8/D2dn37msuGyQMPPOD8/Nvf/rbLi5mpIiOjAOjv6phSYTIybB2z5TcyBZeKBro70Wi8CA/Xu7sUlwkPj+D2279CYeEnHDy4j55zg6zPmEeIB50A6wp+3l4cOXIEgCNHjhDmO7337zocDkpbm0fPrfHS8B9f/tqkvq8vGyYHDx4c1xcZT0dhcWlT9VBNm9U6Zsvv6MniKzzDAzkcqNWqab/0o1KpWLJkGQEBWj7++H3+98BHLIiJIycqDn1gkLvLcwlfL2+svT0cOHBg9PY1XA9lKrDZ7VS0tXCssY5qSxsGg5G1a9cTOsmnF1w2TH70ox9d8QuoVCo++OCDCStoJprsbssTRePjM2bLz2sq/rKqVEzRH/81ycqaR3z8bPbu/ZCiqgoO1VVjDAomMzKGOREGdAFTr5P2TGSz26nvtFBubuF0SxODw1YCArQsX76SBQsWuWUD9bJh8uGHH05WHTNaQEAAarWGHnMLEQnJ7i5n3Ly8fRiwWp1bfn4hntfy5XIcDgc9ZhOBQdNzy/xSgoKCWbduIwMDA5SVlVBacor3Kkp4r6KEsAAtKeF65kREzqgTHKeCfusQZ9taqWxvpcrShnVkBI1GQ1JSChkZWcTFzXbr/9dV7dq32WycOHECs9mMwWAgJydHzoCfAH5+s0hLy6C09DQBYToik9PcXdK057DbqTl2iD5LGzffvMbd5biFv78/CxYsYsGCRXR3d1FTc5bq6rMcbqjlUF01s7x9mBOuJ0UfSZJOj48cvj7pOgb6qTC3UNbWQmNnBw4cBARoSU3LZPbsZOLi4vH2kL594353lJWV8a1vfYuhoSEiIyNpaWnB19eX3/zmN6SlyR8/pW688Wb6+nqpKtxHj7mF+JxF+MqSg0v0WdqoOXaIHrOJ+fNzycy8sIHpTBMcHMK8ebnMm5eL1Wqlvr6Gs2crKK+u5JSpES+NhjnhetIN0cyJ0OOtkWBxlc6BfkpbmyltbaalpxsYPYhicd5SkpJSJrx540QZ9zvi8ccf58477+See+5BpVLhcDj4y1/+wo9+9CNeffVVV9Y4I/j6+rFhw5c5eHAfR44U0l5XReScdKLTs/H1l1CZCP2dFhqKj2FpqMHXz49bb/0CGRnZ7i7L4/j4+JCcnEpycio2m42mpgbOni2nsqKMM60mvDVeJOkiSAqPIFGn99ijwj7f+dhTOyHb7Xaaujs5a2mjqr0V0/kAiYw0csO8hSQlpUyJ6/BcVdfgw4cPj1nWstlsLFq06KLdhKcCT+oa/Fk9Pd0UFn5CSckpAMJiZxOVmklghGdtkRS/9yY9ZpPzdpDeSNaq9W6s6EIOu52Oxjqay0/TYzbh7e3DwoWLWbBgEb7T/FDRiWa322lqaqCi4gw11Wfp7Rtte64L0JKkiyAuVEdsSBhaD/m5emoLervDgbm3h4auDmo72qnpaGdoZBiVSkVkZBTJySnMmTPX2RbHk0zIlRZvvPFGPvzwQ1atWuW8b8+ePaxYsUJxgWKsoKBgVq26jcWLl3Ly5DGKT5+guL6agFAdxpQMwhOS0cj69WUNnxuk9WwZLWfPMNTfR2BgEMuX30RmZg5+coXKa6JWq4mNjSc2Nh7HSgcdHRbq6qqpra3mWGM9RfU1AIT6BxAbHEpsqI64UB06/wC3bAQtjEmgsK56zMWx3GHYZqOpu5P6TgsNXR00dndiPd9hO1AbyJy56cTHJxIXFz+l35vjnpk89NBDfPjhh2RmZjr3mZw+fZqbb74ZX99/9/yZSq1VPHVm8nnDw1bOnCnhxImjWCxtePn4ok9KJTot261XXvTEmUl/VwdNpSdpr6vCYbcTGxvPvHm5JCYmy5FJLmSz2TCbW2hubqS5qZGm5gYGBwcBCPD1IyFUR0KYjvjQcMImMVxePPwJAHcvun5SXpXmcYYAABYgSURBVA9gxGajsbuTuo52ajstNHV3YrPbAQjXRRAVHUNUVAzR0bEEBgZ51GrDlUzIzCQlJYWUlBTn7eTkZJYtW6a8OnFF3t4+ZGfPJytrHk1NjZw4cYSzZcW0lJdgmDOX6PScGb9f5bP7Q7y9vcnJnk929gJ0unB3lzYjaDQajMZojMZoFi7Mw+Fw0NXVQWNjA42NddTW11HS0gSMLotlRkaTERk9bc5rsdnt1FjaON3SRHlbC9aREVQqFfoIA/PmLyImJo6oqJhp3WV93GGSm5tLdHQ0sbGxmM1mfvnLX6LRaPjOd75DRESEK2sU56lUKmJiYomJiaWrq5OiogOUnjlNa1U5iblL0SemTupWzueX2tyx9Ga326k/eYSm0hP4+PiQl7eUBQsWT+nlgulApVIRGqojNFRHVta88+HSSX19DRXlZ/i4qpyPq8qJDg7lhqRUknQRU2oL/VNDIyMU1lVxuKGGAasVXx9fUuZmkJg4h+jo2GkdHp837mWutWvX8sILLxAVFcV3v/tdAHx9feno6OB3v/udS4t0lamyzHU53d1d7N79Fo2N9UTMnsOc61ZM2i+lu68BPzJspfSDt+m1mMnMzGH58pskRKaI3t4eKirOcOLEUXp6uokN1bE6NRNjUPCEvo6rlrnsDgdHGmrYV13BgNVKYmIymZk5xMcnurQzr7tNyDJXa2srUVFRjIyMsG/fPvbs2YO3tzfLly+fsELF1QsODuGOO/6Dgwf3UVR0gGC9EUPy3El57cg5aTSXncJmtRKbnUvknMk936jueCF9HW3cdls+qamTF2JCucDAIBYuzGPevFxOnz7BoYP7eaFwL0viErkxea7HHsYL0Nrbw86SEzT3dBEbE0/+8hXOZq0z2bjDRKvV0t7eTmVlJcnJyQQEBGC1WhmZAtf9nu7UajVLl95AQ0MdjSUnJi1MVCoVPrMCYFbApM5IAIaHztFSeYZ58xZKkExhGo2GnJzR/8N9+/Zw8PRJajvb2TRvMcEeOMssNjWys/Qk3j4+rF37RVJT06fk8pwrjDtMvvrVr/KlL32J4eFhHn/8cQCOHTtGYmKiy4oT4ze6PyWOliOFOByOaf8Gtw70AxATI9fZmQ78/GaxatVtJCbO4Z1db/Dnon1sybuRAF/PuTrkiaZ63iw5QXRUDF9YdzsBAQHuLsmjjDtM7r//flatWoVGo3FeKMtgMPDTn/7UZcWJq6PRaHA47O4uY1LYzx9qKb3hppekpDls+vKdvPz3F3m95DibFyxxd0kAWPr72HWmmNjYeDZuLJD33UVc1Z6i2bNnX/a2cK9PZyN22wgaL9dfWc2d7LbR5VWVSs4dmW70+kiWXn8je/d+SEOnhdhJvi7HxeyrrgC1irVrvyhBcgnymziNREQYAGivq3ZzJa5nOf89RkRM3yskzmTZ2QuYNWsW+2sq3V0KnQP9nG5pIjt7PgHT5LwYV5AwmUbi42djjIqhqnAfLZVnsNts7i5pwo1Yh6g5dghTRQlZWfPQaqfgBbnEFXl7e7NgwWLOtps5VFfltjrODQ/z6qmjqNVqFi7Mc1sdU8H0PSB6BvLy8mLjhk3s2PEPqor20VB8FGNqJobkuXh7SPO9azXY24Op/DTmqnJsI8Okp2excuVqd5clXCg3dwlmcwvvlZfQ3N3FLSnpBE3SEV4Oh4PKtlZ2V5TQPTjIuvW3y4bLFXhcmNTU1PDYY4/R1dVFSEgI27ZtIyEhYcwYm83GT3/6U/bt24dKpeL+++9n06ZN7inYw/j6+lFQcBd1dTUcPVpI3Yki6k4eJlCnJyQqhtCoWLRhnn+2sd1mo8dsorO5gS5TIwPdnajUalJT0li4MA+93uDuEoWLqdVq1q7NJyxsP0eOFFLe1sLCmHgWxyW6rO29w+Ggqt3Mgdoq6jrbCQsN4/bb8omNdU+TyKnE48Jk69atbN68mfz8fF5//XWeeOIJXnzxxTFj3nzzTerr69m9ezddXV1s2LCB6667jpiYGDdV7VlUKhUJCYkkJCTS3m6msrKcmpoqGk4dpeHUUbx9/QiOjCIowkiQPhL/4FBUbm6CaLfZ6LO00dPWQo/ZRLfZhH1kBLVaQ0xMLAk5C0hJmUtg4My6xO5Mp9FoWLr0RjIycjhwYC9F5aUU1deQZjCyKHY2sSFhE7JhZB0ZodjUSFFDDe19vQQEaFmx4haysxfIDvdxGnc7lclgsVhYvXo1hYWFaDQabDYbeXl57N69m7CwMOe4+++/n9tvv501a0Yvt/r0008TFRXFfffdd5WvN/XbqVyNwcEB6upqqK2tpr6hjv7z16Pw8vYhMMJAUEQkQQYjWp1+3B12i997E+CquwXbRobpMY8GR4+5hT5LG3b76D6e0NAw4uNnEx+fSGxsnMdcllS4X29vD8ePH+F08QmGrENEaINYGBNPdlQsvhdpY3Kldirmvh6O1NdS3NKIdWSEiHA9C3PzSElJkxC5iAlppzIZTCYTBoPB+Z+o0WjQ6/WYTKYxYWIymYiK+nf7AqPRSEtLy6TXO9XMmuXP3LkZzJ2bgcPhoLe3h6amBpqaGmhsaqDu5GEANF7eBOkjCY6MJtgQRUCoTvHWn91mo7fdTHdrE90tzfRazDjs9tHOqvpIkuctJDo6lqioGPz9PfPKfcL9AgODuOGGlVx33TLKy89w8uRR3ikr5sOzZ5gXFceiuATCrtBB235+f0hRfTW1He1oNBpSUtLIzp6P0Rjt8UvAnsqjwmSyXSphZwq9PoikpBjgOgD6+/upqamhqqqKs1VV1B47BIC3rx+6uET0iXPQ6vTj/mWz2+10mRoxV1fQ1VyP7XzrnejoaOYtW0ZSUhLx8fH4+MjMQ1y9qKhl3HTTMhoaGjhw4ABHi4s53FDDvKg4ViSnXvSKjzWWNnZXlGDu7SE4KIjVq1eTm5srZ7NPAI8KE6PRSGtrKzabzbnMZTabMRqNF4xrbm4mO3v0+t2fn6mM10xb5hoPgyEegyGepUtX0tvbQ0NDHTU1VVRVV9BSWcqswGD0iSkY52ZdsuW8dXCAxtITtNdWMXxuED+/WWSkZxEfn0hMTOyYzr7d3UPA0CR9d2I68vMLYeXK21i8+AaOHDnIyRPHKGlt4osZ88iJHu3WMWK38WbJCU6bmggKCmbt2i+SkpKGWq1mYMDOwECvm7+LqWHKLHPpdDrS0tLYuXMn+fn57Ny5k7S0tDFLXABr1qzhn//8J7feeitdXV28//77/O1vf3NT1dNXYGAQ6elZpKdnMTQ0RGVlGaWlxdSdPExrVRlJi8d2jHY4HLSeLaPueCF22wiJicmkp2eRkJAk68/C5bRaLStWrCI7ewHvvvsmr5w8yoas+aQbonjpeCHVljby8q5n8eKl07pNvLt41A54gKqqKh577DF6enoICgpi27ZtJCYmsmXLFh566CGysrKw2Ww8/fTTfPLJ6M61LVu2UFBQcNWvJTOTa9PYWM/u996mu6sTP20QPv4BZN6yjrOHPsZcXUFMTBy33LKGUA9ogyFmpuFhK6++8ncsbWaWxCfycVU5K1euJidngbtLm9IuNzPxuDCZTBIm125kZIS33tpBdfVZ/EPCiJg9h7rjhSxevJSlS2+QnZjC7drb2/i///sjAFHGaL5ccJe8LxW6XJhIOxVxTby8vFi7Nh+Nxotzvd00nj5OYmKyBInwGOHhEc6DO+akzJX3pYtJmIhr5uPjg1arxW6zYRu2smjRdfILKzyKRjO6byQ8XBqCupqEiVDE9zMXLzIYjJcZKcTk+3TbRrr9up6EiVDk0y2/0c/liC3haUbTxNeDrtg4XUmYCEVkWUtMDfI+dTUJE6GIhIkQAiRMhEISJmIq+LSJqHAdCROhSEZGtrtLEOKK7Ha7u0uY9iRMhCLp6VnuLkGIK5IZtOtJmAghpj050tD1JEyEEDOAzExcTcJECDEDSA8+V5MwEULMADIzcTUJEyHEDCAzE1eTMBFCTFtyFNfkkTARQgihmISJEEIIxSRMhBBCKCZhIoQQQjEJEyGEEIpJmAghhFBMwkQIIYRiEiZCCCEUkzARQkxbDoec+T5ZJEyEEEIoJmEiJoRWG+juEoS4DGmr4mpe7i5ATH2bNt2Jv3+Au8sQ4jJkucvVJEyEYjExce4uQYgrkJmJq3lMmAwODvLDH/6QkpISNBoNjz76KDfddNMF495//32ef/55rFYrDoeDO+64g2984xtuqFgIIcSnPCZMXnjhBbRaLe+99x61tbXceeed7N69m4CAscsnERER/M///A8Gg4He3l5uv/12srOzyc3NdVPlQgjPJ8tcruYxO+B37dpFQUEBAAkJCWRmZrJ3794LxuXk5GAwGAAIDAwkKSmJpqamSa1VCCHEWB4TJs3NzURHRztvG41GWlpaLvucqqoqTpw4wZIlS1xdnhBCiMuYtGWujRs30tzcfNHHDhw4cNVfz2w28+CDD7J161bnTEUIIT5LrrQ4eSYtTHbs2HHZx6OiomhqaiIsLAwAk8lEXl7eRcdaLBbuuece7rvvPtauXXvNNel02mt+rhDC86nVo2Gi02kJCpJzoVzJY3bAr1mzhpdffpmsrCxqa2spLi7mv//7vy8Y19nZyT333MOdd97Jpk2bFL2mxdKH3S475oSYrj79/bZY+hgaklmKUmq16pIb4R6zz+Tee++lp6eHVatW8cADD/D000+j1Y4W/dxzz/HSSy8B8Pvf/57a2lpefvll8vPzyc/P55VXXnFn6UIIDyW9uSaPyjGDf9oyMxFievvf//0VAwP9bNnybWn5MwGmxMxECCFcR5a4XE3CRAgxA8gKhKtJmAghhFBMwkQIIYRiEiZCCCEUkzARQkxbfn6zzn8mO+BdTcJECDFt3XLLWpKTU/D393d3KdOenGci55kIIcS4yHkmQgghXErCRAghhGISJkIIIRSTMBFCCKGYhIkQQgjFJEyEEEIoJmEihBBCMQkTIYQQikmYCCGEUEzCRAghhGISJkIIIRSTMBFCCKGYhIkQQgjFJEyEEEIoJmEihBBCMQkTIYQQikmYCCGEUEzCRAghhGISJkIIIRSTMBFCCKGYx4TJ4OAgDz/8MKtWrWLNmjXs2bPnsuOHhob4whe+wO233z5JFQohhLgUjwmTF154Aa1Wy3vvvcfvfvc7fvzjH9Pf33/J8c8++yw5OTmTWKEQQohL8Zgw2bVrFwUFBQAkJCSQmZnJ3r17Lzr2yJEj1NbWkp+fP5klCiGEuASPCZPm5maio6Odt41GIy0tLReMGxgY4Gc/+xlPPfXUZJYnhBDiMrwm64U2btxIc3PzRR87cODAuL/OL37xCzZv3ozBYKC2tlZRTWq1StHzhRBiJrnc38xJC5MdO3Zc9vGoqCiampoICwsDwGQykZeXd8G4o0ePsnfvXp5//nmGhobo7u5m/fr1vPnmm1ddU2howFU/RwghxIVUDofD4e4iAH7961/T2trKT3/6U2pra9m8eTO7d+9Gq9Ve8jmFhYVs27aNV199dRIrFUII8Xkes8/k3nvvpaenh1WrVvHAAw/w9NNPO4Pkueee46WXXnJzhUIIIS7FY2YmQgghpi6PmZkIIYSYuiRMhBBCKCZhIoQQQjEJEyGEEIpJmAghhFBMwkQIIYRiEibimqxcuZJly5Zhs9mc97366qukpqayfft2N1YmZrJnn32WrVu3Om/v2bOH1NRUKisrnfc98MAD/POf/3RHedOahIm4Znq9nv379ztv79ixg4yMDDdWJGa6JUuWUFRU5LxdVFRETk6O8z6bzcbRo0cv2qpJKCNhIq7Zxo0bna1sGhoaGBgYICUlxc1ViZls/vz5NDY20t7eDsDhw4d58MEHKSwsBKC0tBStVktcXJw7y5yWJEzENVu8eDEVFRV0d3ezY8cONmzY4O6SxAzn5+dHdnY2RUVF9PX1MTg4yPLlyykrKwNGZyqLFy92c5XTk4SJuGYqlYq1a9fy1ltv8dZbb7Fu3Tp3lyQEixcvprCwkKNHj7Jw4UI0Gg3x8fFUVlZSVFQkS1wuImEiFNm4cSO/+tWvSElJITQ01N3lCEFeXh5FRUUcPnyYRYsWAbBo0SIOHjzI0aNHZWbiIhImQpHY2FgeeeQRHnzwQXeXIgQwut+kqamJ3bt3O4MjNzeXv/3tbwQFBREbG+vmCqcnCROhWEFBAWlpae4uQwgAfH19ycnJAcBgMACQlZVFa2urzEpcSFrQCyGEUExmJkIIIRSTMBFCCKGYhIkQQgjFJEyEEEIoJmEihBBCMQkTIYQQikmYCDFFpKamUldX5+4yhLgoCRMhhBCKSZgIMc2NjIy4uwQxA0iYCKFQSUkJGzZsYP78+Tz00EM8/PDDPPvss8Dolf7y8/PJzc3lK1/5irMVOoxerfKFF15g/fr1LFy4kIcffpihoSHn43/84x9ZtmwZy5Yt41//+teY17RarWzbto0VK1awdOlSnnjiCc6dOwdAYWEhN9xwA7///e+5/vrr+eEPfzgJPwUx00mYCKGA1Wrl29/+Nhs3bqSoqIh169bx/vvvA6MXYnr88cd5+umnKSwspKCggAcffBCr1ep8/q5du/jjH//IBx98QHl5ufNiY3v37uVPf/oTf/rTn9i9ezcHDx4c87q//OUvqamp4bXXXmP37t2YzWZ++9vfOh9vb2+nu7ubPXv28Mwzz0zCT0LMdBImQihw8uRJRkZGuPvuu/H29ubWW28lKysLgJdffpmCggJycnLQaDRs3LgRb29vTpw44Xz+XXfdhcFgICQkhJtuuokzZ84AoyFz++23k5KSgr+/P9/+9redz3E4HPzjH//g8ccfJyQkBK1WywMPPMBbb73lHKNWq3nooYfw8fHBz89vkn4aYibzcncBQkxlZrMZg8GASqVy3mc0GgFobm7mtddeY/v27c7HhoeHMZvNztsRERHOz2fNmuV8zGw2k5mZ6XwsOjra+XlHRweDg4PcfvvtzvscDgd2u915OzQ0FF9f34n4FoUYFwkTIRSIiIigtbUVh8PhDBSTyURsbCxGo5FvfvOb/Od//udVf129Xo/JZHLebm5udn4eGhqKn58fb731lrPF+ud9NtyEmAyyzCWEAvPmzUOj0bB9+3ZGRkZ4//33KS4uBmDTpk38/e9/5+TJkzgcDgYGBvjoo4/o6+u74tdds2YNO3bs4OzZswwODvKb3/zG+ZharWbTpk387Gc/w2KxANDa2sq+fftc800KMQ4SJkIo4OPjw69//Wv+9a9/sWjRIt544w1WrFiBj48PWVlZPPPMMzz99NMsWrSIW2+91bmD/UpuvPFGvva1r/G1r32NVatWsWTJkjGPf//73yc+Pp4vf/nLLFiwgK9//evU1NS44lsUYlzk4lhCTLBNmzbxla98hTvuuMPdpQgxaWRmIoRCRUVFtLW1MTIywo4dOygvL2f58uXuLkuISSU74IVQqKamhocffpjBwUFiYmL41a9+hV6vd3dZQkwqWeYSQgihmCxzCSGEUEzCRAghhGISJkIIIRSTMBFCCKGYhIkQQgjFJEyEEEIo9v8BPMm1iiFJAVcAAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.violinplot(\"gender\", \"split_frac\", data=data, palette=[\"lightblue\", \"lightpink\"]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is yet another way to compare the distributions between men and women.\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "\n", "Let's look a little deeper, and compare these violin plots as a function of age. We'll start by creating a new column in the array that specifies the decade of age that each person is in:" ] }, { "cell_type": "code", "execution_count": 188, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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agegendersplitfinalsplit_secfinal_secsplit_fracage_dec
033M01:05:3802:08:513938.07731.0-0.01875630
132M01:06:2602:09:283986.07768.0-0.02626230
231M01:06:4902:10:424009.07842.0-0.02244330
338M01:06:1602:13:453976.08025.00.00909730
431M01:06:3202:13:593992.08039.00.00684230
\n", "
" ], "text/plain": [ " age gender split final split_sec final_sec split_frac age_dec\n", "0 33 M 01:05:38 02:08:51 3938.0 7731.0 -0.018756 30\n", "1 32 M 01:06:26 02:09:28 3986.0 7768.0 -0.026262 30\n", "2 31 M 01:06:49 02:10:42 4009.0 7842.0 -0.022443 30\n", "3 38 M 01:06:16 02:13:45 3976.0 8025.0 0.009097 30\n", "4 31 M 01:06:32 02:13:59 3992.0 8039.0 0.006842 30" ] }, "execution_count": 188, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data['age_dec'] = data.age.map(lambda age: 10 * (age // 10))\n", "data.head()" ] }, { "cell_type": "code", "execution_count": 189, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "men = (data.gender == 'M')\n", "women = (data.gender == 'W')\n", "\n", "with sns.axes_style(style=None):\n", " sns.violinplot(\"age_dec\", \"split_frac\", hue=\"gender\", data=data,\n", " split=True, inner=\"quartile\",\n", " palette=[\"lightblue\", \"lightpink\"]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looking at this, we can see where the distributions of men and women differ: the split distributions of men in their 20s to 50s show a pronounced over-density toward lower splits when compared to women of the same age (or of any age, for that matter).\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "\n", "Also surprisingly, the 80-year-old women seem to outperform *everyone* in terms of their split time. This is probably due to the fact that we're estimating the distribution from small numbers, as there are only a handful of runners in that range:" ] }, { "cell_type": "code", "execution_count": 190, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "7" ] }, "execution_count": 190, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(data.age > 80).sum()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Back to the men with negative splits: who are these runners? Does this split fraction correlate with finishing quickly? We can plot this very easily. We'll use ``regplot``, which will automatically fit a linear regression to the data:" ] }, { "cell_type": "code", "execution_count": 191, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = sns.lmplot('final_sec', 'split_frac', col='gender', data=data,\n", " markers=\".\", scatter_kws=dict(color='c'))\n", "g.map(plt.axhline, y=0.1, color=\"k\", ls=\":\");" ] } ], "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": "3.9.0" } }, "nbformat": 4, "nbformat_minor": 1 }