{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 06: `matplotlib` — 2D and 3D plotting\n", "\n", "This IPython Notebook is based on a notebook developed by J.R. Johansson (jrjohansson@gmail.com $-$ http://jrjohansson.github.io)\n", "\n", "The latest version of this [jupyter notebook](http://ipython.org/notebook.html) lecture is available at [https://github.com/jrjohansson/scientific-python-lectures/blob/master/Lecture-4-Matplotlib.ipynb](https://github.com/jrjohansson/scientific-python-lectures/blob/master/Lecture-4-Matplotlib.ipynb).\n", "\n", "The other notebooks in this lecture series are indexed at [https://github.com/jrjohansson/scientific-python-lectures](https://github.com/jrjohansson/scientific-python-lectures)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from IPython.display import clear_output, display\n", "\n", "import pathlib as pl\n", "\n", "output_path = pl.Path(\"../data/matplotlib\")\n", "output_path.mkdir(exist_ok=True, parents=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "``matplotlib`` is an excellent 2D and 3D graphics library for generating scientific figures. Some of the many advantages of this library include:\n", "\n", "* Easy to get started\n", "* Support for $\\LaTeX$ formatted labels and texts\n", "* Great control of every element in a figure, including figure size and DPI. \n", "* High-quality output in many formats, including PNG, PDF, SVG, EPS.\n", "* GUI for interactively exploring figures *and* support for headless generation of figure files (useful for batch jobs).\n", "\n", "One of the of the key features of ``matplotlib`` that that makes `matplotlib` highly suitable for generating figures for scientific publications is that all aspects of the figure can be controlled *programmatically*. This is important for reproducibility and convenient when one needs to regenerate the figure with updated data or change its appearance. \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Import the `matplotlib.pyplot` module under the name `plt` (a better approach to using `python` packages since the `matplotlib.pyplot` namespace is explicitly defined):" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Find the Errorbar subsampling example in the matplotlib gallery. Copy the code in to the empty code block below and execute the code." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Congratulations you have created your first `matplotlib` figure. Let's go further down the `matplotlib` rabbit hole.\n", "\n", "\n", "\n", "\n", "## The `matplotlib` object-oriented API\n", "\n", "The main idea with object-oriented programming is to have objects that one can apply functions and actions on, and no object or program states should be global (such as the MATLAB-like API). The real advantage of this approach becomes apparent when more than one figure is created, or when a figure contains more than one subplot. \n", "\n", "When using the object-oriented API a reference to the newly created figure instance is stored in the `fig` variable, and from it a new axis instance `axes` is created using the `add_axes` method in the `Figure` class instance `fig`:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "\n", "axes = fig.add_axes(\n", " [0.1, 0.1, 0.8, 0.8]\n", ") # left, bottom, width, height (range 0 to 1)\n", "x = np.arange(10)\n", "y = np.arange(10)\n", "axes.plot(x, y, \"r\")\n", "\n", "axes.set_xlabel(\"x\")\n", "axes.set_ylabel(\"y\")\n", "axes.set_title(\"title\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Inset figures\n", "\n", "Although a little bit more code is involved, the advantage is that you now have full control of where the plot axes are placed, and you can easily add more than one axis to the figure:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "\n", "axes1 = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # main axes\n", "axes2 = fig.add_axes([0.55, 0.55, 0.3, 0.3]) # inset axes\n", "\n", "# main figure\n", "axes1.plot(x, y, \"r\")\n", "axes1.set_xlabel(\"x\")\n", "axes1.set_ylabel(\"y\")\n", "axes1.set_title(\"title\")\n", "\n", "# insert\n", "axes2.plot(y, x, color=\"blue\")\n", "axes2.set_xlabel(\"y\")\n", "axes2.set_ylabel(\"x\")\n", "axes2.set_title(\"insert title\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Copy the code in the previous block to the empty code block below. Then we will modify the location of the inset. The coordinates of the plots are in page coordinates `(fig.add_axes([lowerleftx, lowerlefty, xlen, ylen]))`." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figures with subplots" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(nrows=1, ncols=2)\n", "\n", "for ax in axes:\n", " ax.plot(x, y, \"r\")\n", " ax.set_xlabel(\"x\")\n", " ax.set_ylabel(\"y\")\n", " ax.set_title(\"title\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Legends, labels and titles\n", "\n", "Now that the basics of how to create a figure canvas and add axes instances to the canvas have been covered, methods for decorating a figure with titles, axis labels, and legends will be covered.\n", "\n", "**Figure titles**\n", "\n", "A title can be added to each axis instance in a figure. To set the title, use the `set_title` method in the axes instance:\n", "\n", "```python\n", "ax.set_title('title')\n", "```\n", "\n", "**Axis labels**\n", "\n", "Similarly, the labels of the X and Y axes can be set with the methods `set_xlabel` and `set_ylabel`:\n", "\n", "```python\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('y')\n", "```\n", "\n", "**Legends**\n", "\n", "Legends for curves in a figure can be added in two ways. One method is to use the `legend` method of the axis object and pass a list/tuple of legend texts for the previously defined curves:\n", "\n", "```python\n", "ax.legend(['curve1', 'curve2', 'curve3'])\n", "```\n", "\n", "\n", "The method described above follows the MATLAB API. It is somewhat prone to errors and inflexible if curves are added to or removed from the figure (resulting in a wrongly labelled curve).\n", "\n", "A better method is to use the `label=\"label text\"` keyword argument when plots or other objects are added to the figure, and then using the `legend` method without arguments to add the legend to the figure: " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = fig.add_axes(\n", " [0.1, 0.1, 0.8, 0.8]\n", ") # left, bottom, width, height (range 0 to 1)\n", "ax.plot(x, x**2, label=\"curve1\")\n", "ax.plot(x, x**3, label=\"curve2\")\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The advantage with this method is that if curves are added or removed from the figure, the legend is automatically updated accordingly.\n", "\n", "The `legend` function takes an optional keyword argument `loc` that can be used to specify where in the figure the legend is to be drawn. The allowed values of `loc` are numerical codes for the various places the legend can be drawn. See http://`matplotlib`.org/users/legend_guide.html#legend-location for details. Some of the most common `loc` values are:\n", "\n", "```python\n", "ax.legend(loc=0) # let `matplotlib` decide the optimal location\n", "ax.legend(loc=1) # upper right corner\n", "ax.legend(loc=2) # upper left corner\n", "ax.legend(loc=3) # lower left corner\n", "ax.legend(loc=4) # lower right corner\n", "```\n", "\n", "### .. many more options are available\n", "\n", "Alternatively, location keywords can also be used.\n", "\n", "```python\n", "ax.legend(loc='best')\n", "ax.legend(loc='upper right')\n", "ax.legend(loc='upper left')\n", "ax.legend(loc='lower left')\n", "ax.legend(loc='lower right')\n", "```\n", "\n", "## Setting colors, linewidths, linetypes\n", "\n", "### Colors\n", "\n", "With `matplotlib`, the colors of lines and other graphical elements can be defined in a number of ways. First of all, MATLAB-like syntax can be used where `'b'` means blue, `'g'` means green, etc. The MATLAB API for selecting line styles are also supported: where, for example, 'b.-' means a blue line with dots:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# MATLAB style line color and style\n", "fig, ax = plt.subplots()\n", "# blue line with dots\n", "ax.plot(x, x**2, \"b.-\")\n", "# green dashed line\n", "ax.plot(x, x**3, \"g--\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Colors can also be defined by their names or RGB hex codes and optionally provide an alpha value using the `color` and `alpha` keyword arguments:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "# half-transparant red\n", "ax.plot(x, x + 1, color=\"red\", alpha=0.5)\n", "# RGB hex code for a bluish color\n", "ax.plot(x, x + 2, color=\"#1155dd\")\n", "# RGB hex code for a greenish color\n", "ax.plot(x, x + 3, color=\"#15cc55\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Line and marker styles\n", "\n", "The line width can be changed using the `linewidth` or `lw` keyword argument. The line style can be selected using the `linestyle` or `ls` keyword arguments:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12, 6))\n", "\n", "ax.plot(x, x + 1, color=\"blue\", linewidth=0.25)\n", "ax.plot(x, x + 2, color=\"blue\", linewidth=0.50)\n", "ax.plot(x, x + 3, color=\"blue\", linewidth=1.00)\n", "ax.plot(x, x + 4, color=\"blue\", linewidth=2.00)\n", "\n", "# possible linestype options ‘-‘, ‘–’, ‘-.’, ‘:’, ‘steps’\n", "ax.plot(x, x + 5, color=\"red\", lw=2, linestyle=\"-\")\n", "ax.plot(x, x + 6, color=\"red\", lw=2, ls=\"-.\")\n", "ax.plot(x, x + 7, color=\"red\", lw=2, ls=\":\")\n", "\n", "# custom dash\n", "(line,) = ax.plot(x, x + 8, color=\"black\", lw=1.50)\n", "line.set_dashes([5, 10, 15, 10]) # format: line length, space length, ...\n", "\n", "# possible marker symbols: marker = '+', 'o', '*', 's', ',', '.', '1', '2', '3', '4', ...\n", "ax.plot(x, x + 9, color=\"green\", lw=2, ls=\"-\", marker=\"+\")\n", "ax.plot(x, x + 10, color=\"green\", lw=2, ls=\"-.\", marker=\"o\")\n", "ax.plot(x, x + 11, color=\"green\", lw=2, ls=\"-\", marker=\"s\")\n", "ax.plot(x, x + 12, color=\"green\", lw=2, ls=\"-\", marker=\"1\")\n", "\n", "# marker size and color\n", "ax.plot(x, x + 13, color=\"purple\", lw=1, ls=\"-\", marker=\"o\", markersize=2)\n", "ax.plot(x, x + 14, color=\"purple\", lw=1, ls=\"-\", marker=\"o\", markersize=4)\n", "ax.plot(\n", " x,\n", " x + 15,\n", " color=\"purple\",\n", " lw=1,\n", " ls=\"-\",\n", " marker=\"o\",\n", " markersize=8,\n", " markerfacecolor=\"red\",\n", ")\n", "ax.plot(\n", " x,\n", " x + 16,\n", " color=\"purple\",\n", " lw=1,\n", " ls=\"-\",\n", " marker=\"s\",\n", " markersize=8,\n", " markerfacecolor=\"yellow\",\n", " markeredgewidth=2,\n", " markeredgecolor=\"blue\",\n", ");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simple plots of NWIS data\n", "\n", "We will use a the USGS `dataretrival` package to retrieve NWIS data as a pandas dataframe. We will talk more about pandas later" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "import dataretrieval.nwis as nwis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below we retrieve data for two sites and make a simple `matplotlib` plot." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "site = \"07010000\"\n", "\n", "start = \"2015-10-01\"\n", "end = \"2016-09-30\"\n", "\n", "data = nwis.get_record(\n", " sites=site,\n", " service=\"iv\",\n", " start=start,\n", " end=end,\n", ")" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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0006000060_cdsite_no0006500065_cd
datetime
2015-10-01 05:00:00+00:00167000.0A070100008.95A
2015-10-01 06:00:00+00:00166000.0A070100008.94A
2015-10-01 07:00:00+00:00166000.0A070100008.89A
2015-10-01 08:00:00+00:00166000.0A070100008.86A
2015-10-01 09:00:00+00:00165000.0A070100008.79A
..................
2016-10-01 00:00:00+00:00333000.0A0701000020.57A
2016-10-01 01:00:00+00:00333000.0A0701000020.56A
2016-10-01 02:00:00+00:00333000.0A0701000020.51A
2016-10-01 03:00:00+00:00331000.0A0701000020.44A
2016-10-01 04:00:00+00:00331000.0A0701000020.42A
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8783 rows × 5 columns

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" ], "text/plain": [ " 00060 00060_cd site_no 00065 00065_cd\n", "datetime \n", "2015-10-01 05:00:00+00:00 167000.0 A 07010000 8.95 A\n", "2015-10-01 06:00:00+00:00 166000.0 A 07010000 8.94 A\n", "2015-10-01 07:00:00+00:00 166000.0 A 07010000 8.89 A\n", "2015-10-01 08:00:00+00:00 166000.0 A 07010000 8.86 A\n", "2015-10-01 09:00:00+00:00 165000.0 A 07010000 8.79 A\n", "... ... ... ... ... ...\n", "2016-10-01 00:00:00+00:00 333000.0 A 07010000 20.57 A\n", "2016-10-01 01:00:00+00:00 333000.0 A 07010000 20.56 A\n", "2016-10-01 02:00:00+00:00 333000.0 A 07010000 20.51 A\n", "2016-10-01 03:00:00+00:00 331000.0 A 07010000 20.44 A\n", "2016-10-01 04:00:00+00:00 331000.0 A 07010000 20.42 A\n", "\n", "[8783 rows x 5 columns]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "datetime\n", "2015-10-01 05:00:00+00:00 167000.0\n", "2015-10-01 06:00:00+00:00 166000.0\n", "2015-10-01 07:00:00+00:00 166000.0\n", "2015-10-01 08:00:00+00:00 166000.0\n", "2015-10-01 09:00:00+00:00 165000.0\n", " ... \n", "2016-10-01 00:00:00+00:00 333000.0\n", "2016-10-01 01:00:00+00:00 333000.0\n", "2016-10-01 02:00:00+00:00 333000.0\n", "2016-10-01 03:00:00+00:00 331000.0\n", "2016-10-01 04:00:00+00:00 331000.0\n", "Name: 00060, Length: 8783, dtype: float64" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data[\"00060\"]" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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COIwx6BoNgZDURxgIicUiSLzE0DXqqWCaEELcSKsyQpcuXcKuXbvwt7/9jb9PoVAAaJptKSsr4zMxCoUCOp0OFRUVNseUlpY2+ZlXr14VjLH8ORUVFaivr7c5pqysDEDTrBUh9mjQM3CLDqVeXk0e54IjCoQIIcR9tCoQ+vzzzxEaGoqZM2fy9/Xv3x8KhYJfSQYY6oj27t2LCRMmAACio6Ph4+MjGFNcXIzc3Fx+TExMDFQqFQ4dOsSPOXjwIFQqlWBMbm4uiouL+TFpaWmQSqWIjo7mx+zbt0+wpD4tLQ1KpRIRERGt+bWJhzOv/ZF4N33p8CvH6qlGiBBC3IXDgZBer8fnn3+Ohx9+GN7eppk1kUiE5cuXY82aNUhJSUFubi4SEhLg5+eHefPmAQDkcjkeffRRrFy5Ert378bRo0exYMECREVFYerUqQCA4cOHY8aMGVi4cCEyMjKQkZGBhQsXYtasWRg6dCgAIC4uDiNGjEB8fDyOHj2K3bt345lnnsHChQsRGBgIwLAEXyqVIiEhAbm5uUhJScGaNWuwYsWKFqfqCLFG12IgZMwINVBGiBBC3IXDNUK7du1CQUEBHnnkkSaPPfvss6irq8OiRYtQUVGBcePGIS0tDQEBAfyYd999F97e3njggQdQV1eHKVOm4IsvvoCX2VTDli1bsGzZMn512Zw5c7Bx40b+cS8vL+zYsQOLFi3CxIkTIZPJMG/ePKxfv54fI5fLsXPnTixevBhjx45FUFAQVqxYgRUrVjj6KxMCwBQIeYtF8BI3Daa5gmmaGiOEEPchYoxaLduiVqshl8uhUqn4bBPxTAXltbj17T3wk3jh5Oszmjw+e0M6cq6o8HnCTbhtWNOVj4QQQjqPvZ/ftNcYIXbSGqe8pFamxQCzqTHKCBFCiNugQIgQO/E9hJoNhLhtNigQIoQQd0GBECF24noINRcISb1p1RghhLgbCoQIsZPWGOBIvZv2EAJMU2N1OsoIEUKIu6BAiBA78V2laWqMEEK6DAqECLGT1lgE3XyNEFcsTVNjhBDiLigQIsROXLF0sxkh45SZllaNEUKI26BAiBA76RpaqhGihoqEEOJuKBAixE4tLZ+XSWjVGCGEuBsKhAixU0sNFbn7qViaEELcBwVChNiJpsYIIaTroUCIEDvZ3VmapsYIIcRtUCBEiJ1orzFCCOl6KBAixE781JiP7eXzmgbKCBFCiLugQIgQO/F9hLxamBqjLTYIIcRtUCBEiJ34vcZ8rBdL+0kN99fWN3TaMRFCCGkbCoQIsVNLe435S7wBALVayggRQoi7oECIEDtxxdLNrRrzMzZUrNFRRogQQtwFBUKE2ImfGmshENLU69GoZ512XIQQQlqPAiFC7GSaGrNeI+Qv9eZv11JWiBBC3AIFQoTYicsINTc1JvUWw0ssAgDU0soxQghxCxQIEWKnlhoqikQi+Bunx6o0lBEihBB3QIEQIXbStrDXGAB0M06P1WgpECKEEHdAgRAhdtK1sNcYAHTzpUCIEELcCQVChNjJlBFq/mXDFUxXUSBECCFugQIhQuykbWGvMYCmxgghxN1QIESInfiGis3sNQZQIEQIIe6GAiFC7GTKCDVfLE1TY4QQ4l4oECLEDowxU7E0ZYQIIaTLcDgQunLlChYsWIAePXrAz88Po0ePRlZWFv84YwyrV6+GUqmETCbD5MmTceLECcFzaLVaLF26FCEhIfD398ecOXNw+fJlwZiKigrEx8dDLpdDLpcjPj4elZWVgjEFBQWYPXs2/P39ERISgmXLlkGn0wnG5OTkIDY2FjKZDL1798brr78Oxmj7A+IYrqs0YG+NEDVUJIQQd+BQIFRRUYGJEyfCx8cHv/zyC06ePIl33nkH3bt358esW7cOSUlJ2LhxIzIzM6FQKDBt2jRUVVXxY5YvX46UlBQkJycjPT0d1dXVmDVrFhobTR8e8+bNQ3Z2NlJTU5Gamors7GzEx8fzjzc2NmLmzJmoqalBeno6kpOT8d1332HlypX8GLVajWnTpkGpVCIzMxMbNmzA+vXrkZSU1JpzRTwYNy0G2LlqjBoqEkKIe2AOeO6559ikSZOafVyv1zOFQsHWrl3L36fRaJhcLmcff/wxY4yxyspK5uPjw5KTk/kxV65cYWKxmKWmpjLGGDt58iQDwDIyMvgxBw4cYADY6dOnGWOM/fzzz0wsFrMrV67wY7755hsmlUqZSqVijDH24YcfMrlczjQaDT8mMTGRKZVKptfrrf4OGo2GqVQq/l9hYSEDwD8n8UxXqzSs33PbWb/ntjf7t8MYY18dyGf9ntvOHv/qcCceHSGEEEsqlcquz2+HMkI//vgjxo4di/vvvx+hoaEYM2YMNm3axD+el5eHkpISxMXF8fdJpVLExsZi//79AICsrCzU19cLxiiVSkRGRvJjDhw4ALlcjnHjxvFjxo8fD7lcLhgTGRkJpVLJj5k+fTq0Wi0/VXfgwAHExsZCKpUKxhQVFSE/P9/q75iYmMhPx8nlcoSHhztyikgXpTVrpigSiZodF2DMCFVTjRAhhLgFhwKhixcv4qOPPsLgwYPx66+/4oknnsCyZcvw1VdfAQBKSkoAAGFhYYLvCwsL4x8rKSmBRCJBUFCQzTGhoaFNfn5oaKhgjOXPCQoKgkQisTmG+5obY2nVqlVQqVT8v8LCwhbOCvEE2nrb+4xxutGqMUIIcSvejgzW6/UYO3Ys1qxZAwAYM2YMTpw4gY8++ggPPfQQP87yipkxZvMq2toYa+PbYwwzFko3dzxSqVSQQSIEMBVLtxgIGbfYqNbUd/gxEUIIaTuHMkK9evXCiBEjBPcNHz4cBQUFAACFQgGgabalrKyMz8QoFArodDpUVFTYHFNaWtrk51+9elUwxvLnVFRUoL6+3uaYsrIyAE2zVoTYoq1vecNVwJQRoqkxQghxDw4FQhMnTsSZM2cE9509exb9+vUDAPTv3x8KhQI7d+7kH9fpdNi7dy8mTJgAAIiOjoaPj49gTHFxMXJzc/kxMTExUKlUOHToED/m4MGDUKlUgjG5ubkoLi7mx6SlpUEqlSI6Opofs2/fPsGS+rS0NCiVSkRERDjyqxMPZ88+YwAtnyeEEHfjUCD09NNPIyMjA2vWrMH58+exdetWfPLJJ1i8eDEAw3TT8uXLsWbNGqSkpCA3NxcJCQnw8/PDvHnzAAByuRyPPvooVq5cid27d+Po0aNYsGABoqKiMHXqVACGLNOMGTOwcOFCZGRkICMjAwsXLsSsWbMwdOhQAEBcXBxGjBiB+Ph4HD16FLt378YzzzyDhQsXIjAwEIBhCb5UKkVCQgJyc3ORkpKCNWvWYMWKFS1O1RFizp6d5wGzqTFtA/R66ldFCCEuz9HlaD/99BOLjIxkUqmUDRs2jH3yySeCx/V6PXv11VeZQqFgUqmU3XrrrSwnJ0cwpq6uji1ZsoQFBwczmUzGZs2axQoKCgRjysvL2fz581lAQAALCAhg8+fPZxUVFYIxly5dYjNnzmQymYwFBwezJUuWCJbKM8bY8ePH2S233MKkUilTKBRs9erVNpc/W7J3+R3p2nadLGH9ntvO5mz4w+a4Ol0Dv8xeXafrpKMjhBBiyd7PbxFj1GbZFrVaDblcDpVKxWeaiOf5OacYi7Ycwc0RwfjPEzHNjmOMYchLv6C+keHAqtvRSy7rxKMkhBDCsffzm/YaI8QO9k6NiUQivrt0NXWXJoQQl0eBECF20DbY10cIMBVMqykQIoQQl0eBECF24FeN2dhwlRPg6wMAqKJeQoQQ4vIoECLEDvzUmJc9gRBtvEoIIe6CAiFC7GDqI2S7oSIABPIZIQqECCHE1VEgRIgd+L3G7JgaC+QzQjQ1Rgghro4CIULsoG2kqTFCCOmKKBAixA78XmP2ZIRkhqkxVR1lhAghxNVRIESIHRypEZJTIEQIIW6DAiFC7GBvQ0WAMkKEEOJOKBAixA6ONFTsbgyEKikQIoQQl0eBECF2aM3UmJoCIUIIcXkUCBFiB0emxrr7SQAAlbW6Dj0mQgghbUeBECF24KbG7AmEzIul9XrWocdFCCGkbSgQIsQOjmyx0d3PEAjpGVCto15ChBDiyigQIsQOukauRqjll4yvjxefOVLVUp0QIYS4MgqECLGDIzVCgGnlGC2hJ4QQ10aBECF2cDQQoqaKhBDiHigQIsQOugb7p8YAU50QBUKEEOLaKBAixA5cjZCjGaFKqhEihBCXRoEQIXbQOrBqDADkMkMvIcoIEUKIa6NAiBA7tLZGqLKOmioSQogro0CIkBYwxhyeGuNqhGibDUIIcW0UCBHSggY9AzM2iJZ6tbzXGEA1QoQQ4i4oECKkBdy0GOB4RohqhAghxLVRIERIC1oTCAVSRogQQtwCBUKEtICrD/ISi+AlFtn1PdRZmhBC3AMFQsSjlao1iHh+B17eltvsGG29Y0vnAeosTQgh7oICIeKxGGMYt2Y3AODrjEtY/eMJq+N0jY0AAKmP/S+X7n6GPkLV2gbUN+pbGE0IIcRZHAqEVq9eDZFIJPinUCj4xxljWL16NZRKJWQyGSZPnowTJ4QfLlqtFkuXLkVISAj8/f0xZ84cXL58WTCmoqIC8fHxkMvlkMvliI+PR2VlpWBMQUEBZs+eDX9/f4SEhGDZsmXQ6YQ9W3JychAbGwuZTIbevXvj9ddfB+OW/xCPd7miTvD1F/vzrY5ztJkiAAT6evO3aQk9IYS4LoczQjfccAOKi4v5fzk5Ofxj69atQ1JSEjZu3IjMzEwoFApMmzYNVVVV/Jjly5cjJSUFycnJSE9PR3V1NWbNmoVG41U3AMybNw/Z2dlITU1FamoqsrOzER8fzz/e2NiImTNnoqamBunp6UhOTsZ3332HlStX8mPUajWmTZsGpVKJzMxMbNiwAevXr0dSUpLDJ4l0Tf/LutzkPvPCaMv77C2UBgBvLzG6SQ3BEE2PEUKI6/JueYjFN3h7C7JAHMYY3nvvPbz44ou45557AABffvklwsLCsHXrVjz++ONQqVT47LPP8PXXX2Pq1KkAgM2bNyM8PBy7du3C9OnTcerUKaSmpiIjIwPjxo0DAGzatAkxMTE4c+YMhg4dirS0NJw8eRKFhYVQKpUAgHfeeQcJCQl46623EBgYiC1btkCj0eCLL76AVCpFZGQkzp49i6SkJKxYsQIikX1Fr6Tren/3Of62n8QLtbpGXCqvweCwAMG41gRCgKFOqFrbQIEQIYS4MIczQufOnYNSqUT//v3xl7/8BRcvXgQA5OXloaSkBHFxcfxYqVSK2NhY7N+/HwCQlZWF+vp6wRilUonIyEh+zIEDByCXy/kgCADGjx8PuVwuGBMZGckHQQAwffp0aLVaZGVl8WNiY2MhlUoFY4qKipCfn9/s76fVaqFWqwX/SNc3TGEIfn47XdbkMb6rtANTYwAQ7G+oE7peQ9tsEEKIq3LonX3cuHH46quv8Ouvv2LTpk0oKSnBhAkTUF5ejpKSEgBAWFiY4HvCwsL4x0pKSiCRSBAUFGRzTGhoaJOfHRoaKhhj+XOCgoIgkUhsjuG+5sZYk5iYyNcmyeVyhIeH2z4pxO39Kz4aPsYgx1rQwq0akzqYEeoZYAjCy6q0bTxCQgghHcWhd/Y77rgD9957L6KiojB16lTs2LEDgGEKjGM55cQYa3EaynKMtfHtMYYrlLZ1PKtWrYJKpeL/FRYW2jx24p4qzAKeWwf3xLQRhiD5SmVdk7FcRkjqbd/2GpxQLhBSUyBECCGuqk3L5/39/REVFYVz587xdUOW2ZaysjI+E6NQKKDT6VBRUWFzTGlpaZOfdfXqVcEYy59TUVGB+vp6m2PKygzTHpaZInNSqRSBgYGCf6TrOVtqKuCXSbzQu7sMAFBkLRBqZY0QlxG6Wq1p7WESQgjpYG0KhLRaLU6dOoVevXqhf//+UCgU2LlzJ/+4TqfD3r17MWHCBABAdHQ0fHx8BGOKi4uRm5vLj4mJiYFKpcKhQ4f4MQcPHoRKpRKMyc3NRXFxMT8mLS0NUqkU0dHR/Jh9+/YJltSnpaVBqVQiIiKiLb826QKuVRv+LvoG+wEAlMZAyGpGqJWBEGWECCHE9Tn0zv7MM89g7969yMvLw8GDB3HfffdBrVbj4YcfhkgkwvLly7FmzRqkpKQgNzcXCQkJ8PPzw7x58wAAcrkcjz76KFauXIndu3fj6NGjWLBgAT/VBgDDhw/HjBkzsHDhQmRkZCAjIwMLFy7ErFmzMHToUABAXFwcRowYgfj4eBw9ehS7d+/GM888g4ULF/IZnHnz5kEqlSIhIQG5ublISUnBmjVraMUYAQCcKTEUwUf2Nvy99A4yBEJlVdomS+i1rSyWNmWEKBAihBBX5dDy+cuXL+PBBx/EtWvX0LNnT4wfPx4ZGRno168fAODZZ59FXV0dFi1ahIqKCowbNw5paWkICDAtR3733Xfh7e2NBx54AHV1dZgyZQq++OILeHmZ6i+2bNmCZcuW8avL5syZg40bN/KPe3l5YceOHVi0aBEmTpwImUyGefPmYf369fwYuVyOnTt3YvHixRg7diyCgoKwYsUKrFixonVninQpl42ZH3+J4SXQw18CibcYugY9StUahBszRQCgrTf0uHI4IxToCwAoVdHUGCGEuCqHAqHk5GSbj4tEIqxevRqrV69udoyvry82bNiADRs2NDsmODgYmzdvtvmz+vbti+3bt9scExUVhX379tkcQzwTtxIsxJi1EYlE6N1dhrxrNbhcUScIhEzF0o4FQn2MWaZitQa6Br3DgRQhhJCOR+/MxCNdNS5pH9HLVAzfXMF0q4ulu0kh8/ECY8Lao8Lrtbj3o/3Iuaxq1bETQghpPxQIEY90zVi3E9LN1HBT2d0wldVegZBIJOKLsS+V1/D337JuD7IuVWD2xnTa+44QQpyMAiHikUyBkIS/j1s5VqRqn0AIAD/FVni91urjxykrRAghTkWBEPE4jXoGtaYBABDkbyUQqhQWN/M1Qg6uGgOAfj0MgVCBMRCy7Fz964nmu5wTQgjpeBQIEY+jNtsEtbvMh78d2syWGPwWGz6OdZYGTH2KuEDox+wrgsev0vYbhBDiVBQIEY9TaQyEAqTe8DbL8vB9f6qsZ4Qc7SMEwKxGyBAIrf7ppODxfLPaIUIIIZ2PAiHicbjpqe7+PoL7w4x9f8prdIKmiu1VI8QYw51RCsHjedes1w4RQgjpHBQIEY9TbiyU7uEvFdzfw18CXx8xGBOuHNO2IRDqEySDSATU6BpxvUYHlTEb9dqcGwAYirarNPW2noIQQkgHokCIeBwuIxRsVigNCJe7F5it8mrL1JivjxcUxkzTpeu1/BTZCGUgv3Q/5wqtHCOEEGehQIh4nBqdYcuMAN+mjdWtBULcFhtSn9a9XLjpsYtXa/hMU79gP/7n512jOiFCCHEWCoSIx6nVGpbO+0margLrG+wPoP0yQoAh6AGAjIvl0DPDVh09A6QY2LMbAFo5RgghzkSBEPE4XEbIT2ItI2ToJZR/rQYNxgCoLcXShuc0BELp567xX4tEIn7n+1I1bcpKCCHOQoEQ8Th1OhsZIWMDxLSTpRj04i9Q1dW3PRAyPmeJMeDhAqPQAEPtEGWECCHEeSgQIh7HdkbIT/D1Cyk5KDcWVwf6+jQZbw/L5+QCI257DwqECCHEeZp+EhDSxdUaM0L+0qYZoT5BwqBlx/Fi/ja3BYejLAMhf2MAFmJs4HitWtfkewghhHQOyggRj1NrzAjJrGyZ4evjBX8rU2YAEOTXuoxQsL8EUrNptXBjHVIP4/J9y/3HCCGEdB7KCBGPU6s1BEL+Uut//j8/dQuuVWtRp9NjwWcHAQBhgVKIRKJW/TyRSISeAVJcrjAsnZ87ujcAUx+juvpG1OkaIWsmACOEENJxKBAiHqfGRrE0APTr4Y9+PQzL6C+suROlak2rp8U4e56ZjNU/nkDMwB7wNWaiukm9IfESQ9eox/VaHXpL2vYzCCGEOI4CIeI29HqGAS/8DAC4L7oP1t8/qlXPU2ejWNqSl1jU5iAIAHy8xHjr7ijBfSKRCEH+PihVa3G9Wofe7fBzCCGEOIZqhIjb+Cw9j7/9v6zLrX6eljJCnSnYuN/Z9VqqEyKEEGegQIi4hfNl1Xjr51OC+17eltuq52qpRqgzBfsbCrCPF1Y690AIIcRDUSBEXF5BeS2mJu1tcv/XGZccfi7GGGrruakx52eEKmpo53lCCHEmCoSIy/v7/47xt0eFd8eDN4fzX18xbmJqL22DHo16BsA1AqFbhoQAACrrKCAihBBnoECIuLyDedf52z8snog37zIVHaedKHHoubgeQoB9xdIdrbvMsIS+spYCIeLaPv8zD+/vOufswyCk3VEgRFwat88XAKQsmgDAsJKru7G54Ws/nXTo+biu0lJvMbzEresL1J6430NFGSHiwvaevYrXfjqJd3edxd0f/unswyGkXVEgRFya+c7so8O787e5Pj+O4jJCrlAoDQDdZVwgRKvGiOv66+eH+NtHCyrBGHPi0RDSvigQIi6t1GzHdvPOzm/fN5K/ralvbPJ9zanRGjJC1rbXcAa5MSNEU2PElfWSC3tc/XisyElHQkj7o0CIuDRuZ/ZQ4walnEE9u/G3D1wst/v56viMkIsEQsaMEBVLE1dmuSjh55ziZkYS4n4oECIu7Wq1IRAK6SYMhMRiEX/flQr7V47VONBVujN09zMUS6tq62m6gbikSrNmn3ePMeyTR3+qxFxZlQYVbrx5dJsCocTERIhEIixfvpy/jzGG1atXQ6lUQiaTYfLkyThx4oTg+7RaLZYuXYqQkBD4+/tjzpw5uHxZ2Cm4oqIC8fHxkMvlkMvliI+PR2VlpWBMQUEBZs+eDX9/f4SEhGDZsmXQ6YT/M3JychAbGwuZTIbevXvj9ddfpw8cN3Kt2vD/s0c3SZPH7oxSAHBsCX2tC3WVBkw1QrpGPeocmOIjpLPkl9cCMGRlZ4/qBQAodODig3RtFTU63L5+L6Ym7YW2wT3fw1odCGVmZuKTTz7ByJEjBfevW7cOSUlJ2LhxIzIzM6FQKDBt2jRUVVXxY5YvX46UlBQkJycjPT0d1dXVmDVrFhobTSdx3rx5yM7ORmpqKlJTU5GdnY34+Hj+8cbGRsycORM1NTVIT09HcnIyvvvuO6xcuZIfo1arMW3aNCiVSmRmZmLDhg1Yv349kpKSWvtrk06mNk4ZBRoDBnPc3lxFDgVCrpUR8pN4wcfLUPtEK8dIe8m/VoOI53fgo98vtPm5LpXXAAAievgjPMgPAHC5orbNz0u6hsOXKlCtbUB5jc6h7LwraVUgVF1djfnz52PTpk0ICgri72eM4b333sOLL76Ie+65B5GRkfjyyy9RW1uLrVu3AgBUKhU+++wzvPPOO5g6dSrGjBmDzZs3IycnB7t27QIAnDp1Cqmpqfj0008RExODmJgYbNq0Cdu3b8eZM2cAAGlpaTh58iQ2b96MMWPGYOrUqXjnnXewadMmqNVqAMCWLVug0WjwxRdfIDIyEvfccw9eeOEFJCUlUVbITVRpDBmcQF8rgVCQIRByaGrMWCztKjVCIpEIcuolRNrZ5PW/AwD+kXoa9Y1624NbcMmYEerbww99jIFQlaYBKvp7JQCKVab33xKVxsZI19WqQGjx4sWYOXMmpk6dKrg/Ly8PJSUliIuL4++TSqWIjY3F/v37AQBZWVmor68XjFEqlYiMjOTHHDhwAHK5HOPGjePHjB8/HnK5XDAmMjISSqWSHzN9+nRotVpkZWXxY2JjYyGVSgVjioqKkJ+fb/V302q1UKvVgn/Eeao0hjfbAN+mGRwuI+TY1JjrbK/B6U4rx0g7um5Rq5F+7lqbno8LhCJ6+EEm8UKIcZq6kLJCBKYFLQBQ7CmBUHJyMo4cOYLExMQmj5WUGLr8hoWFCe4PCwvjHyspKYFEIhFkkqyNCQ0NbfL8oaGhgjGWPycoKAgSicTmGO5rboylxMREvi5JLpcjPDzc6jjSObiMkK1AqFStsfuq19WmxgDqJUTax6Vyw3TYjW/sFNyfe0XV5ucFgL7G3l1cVqjwOgVCRBgIlag9IBAqLCzEU089hc2bN8PX17fZceb9XgDDlJnlfZYsx1gb3x5juCmx5o5n1apVUKlU/L/CwkKbx006ltqYEbI2NRbSTQqJlxh6Zn9KliuW9qeMEOlinkrOtnr/d0cuW73fXpeumzJCABAezNUJuWc9CGlf3MUqIJwmcycOBUJZWVkoKytDdHQ0vL294e3tjb179+Kf//wnvL29m822lJWV8Y8pFArodDpUVFTYHFNaWtrk51+9elUwxvLnVFRUoL6+3uaYsrIyAE2zVhypVIrAwEDBP+I8XE1PNysZIbFYBGV3Q0Bu7/QYlxGSuVBGKJB6CREzjDH8eqIE58uqWh5sxnxKTOIlxjv3jwJgWvXVGrW6Bv6Kv1+wISMUbqzNo6kxAgA1OlMgVKrW2hjpuhwKhKZMmYKcnBxkZ2fz/8aOHYv58+cjOzsbAwYMgEKhwM6dptSsTqfD3r17MWGCYZ+o6Oho+Pj4CMYUFxcjNzeXHxMTEwOVSoVDh0xt3Q8ePAiVSiUYk5ubi+JiU2OvtLQ0SKVSREdH82P27dsnWFKflpYGpVKJiIgIR3514iTckvLmOkE7WjDNZ4RcpFgaMG28SqvGCAD8fuYqHv86C/M/PejQog7u72fXilicfesO3GFsLwEABa0Mhrj6oO5+PnwXdJoaI+ZqtabV3u5aQO/QZXFAQAAiIyMF9/n7+6NHjx78/cuXL8eaNWswePBgDB48GGvWrIGfnx/mzZsHAJDL5Xj00UexcuVK9OjRA8HBwXjmmWcQFRXFF18PHz4cM2bMwMKFC/Gvf/0LAPDYY49h1qxZGDp0KAAgLi4OI0aMQHx8PN5++21cv34dzzzzDBYuXMhncebNm4fXXnsNCQkJeOGFF3Du3DmsWbMGr7zySotTdcQ1aI2brvr6WI/ZlXLHCqZrtC5YI0RTY8TM/guG4uZStRbXqnXoadFV3Rq9npmmkWWGv20/iTdEIkPzw9MlavQ1Tm05gpv+6hts+t7wYC4j5J7TIKR91dabMkKVblrn2O6dpZ999lksX74cixYtwtixY3HlyhWkpaUhICCAH/Puu+/irrvuwgMPPICJEyfCz88PP/30E7y8TFfpW7ZsQVRUFOLi4hAXF4eRI0fi66+/5h/38vLCjh074Ovri4kTJ+KBBx7AXXfdhfXr1/Nj5HI5du7cicuXL2Ps2LFYtGgRVqxYgRUrVrT3r006CLePmNTbdkbI3l5CdS68aux6jXumlUn7Ms8M2rt9TJWmge/2bF5PN3eUYVXtnjNXW3Us5cbO7j3NOrub9xKiNiRd35XKOtz+zu94b9dZq48LMkJumtVu82Xx77//LvhaJBJh9erVWL16dbPf4+vriw0bNmDDhg3NjgkODsbmzZtt/uy+ffti+/btNsdERUVh3759NscQ18QYg6bekBGSNpMRcnQJfY2LdZYGTB8sl9pQy0G6DnWdWc2FcRHA72fKkPB5Jm4ZHIIv/nozvMTCjPblSsPfTrC/BL5m08jchUJri1jLa5p2dld2l0EkAjT1erszVsR9vbvzLC5ercF7u85h+dQhTR43rxFy16w27TVGXBY3LQZA8OZujq8RcrBY2pWmxiJCDEWol8prodfTFban46a4AKBIVYeKGh0SPs8EAPxx7hoe//pwk+/hprC4QmbOmHBDm5KjBZWtOpZrxoxQD7OMkMRbjF6BhkUKVDBNuPdUwPCerXHDrYIoECIuSxAINTM1xu1Kf63KvmklV9trDAD6BMngLRahrr4RpVXu2YeDtB/z6YXiSg3OlApXj+06Vdbke7jC5T7BwjqgkeFy/jkdaTzKKef2+vMX7vVHBdOew3yqtVrb0ORxXYOwh5s7To9RIERcltZ4ZSEWgd+Py1IPf0MgpNY0NHlBWsPNZ/tLXScj5OMl5otRL16tcfLREGerM7vCLlbV8X8T3mbTYR/sOS/4Hi4j1MciI2Re27N06xGHj6XCuPN8kJ9FIGQsmKZeQl2f+SxsmZWGiZbNbCkQIqQd8fVB3l7NrvKTy3z4egnuTbs5jDGXrBECTNNja3857eQjIc5mPrVQpNLgUJ6hYPrhCRH8/Z//mSf4Hi4zw9WbccxfN0daMT3GbXrMFfRzaPNVz1Fn9vdo3jwRABr1DNxsvjuvfqVAiLgsTYPhBdjc0nnA0FQx2Ji25+oZmqNt0PMvWpmLBULDFIZVlTlXVG3eJJO4N41ZZvNqlRb7jHuFDejpj08fGgsAuFatE0xT8DVCwU2XyK+6Yxh/+5ec4iaP28Jd3XNNPznczym8Thkhe9TpGpF7ReWWq+y4C1KgaSBk/l4VYsw+VrZwQeqKKBAiLktbz/UQsh20cPULXD1Dc8yvtJtr0Ogsy6YM5m+3trCVdA1ai2JTrmN0pFKOyUN78vf/kH0FgCHTyRUtWxZLA8DjsQP529sdDITUxg8+uUUg1Ie6Sztk+CupmLUhHf/cfb7lwS5GI8gICbM9wkDIfRvDUiBEXJYpI9RCIGR8AVruut3k+YyBlZdYBB8v1/rT9/Xx4vdyOl9W7eSjIc7EZYQs98OL6i2Ht9nfbbYxYD5VXMWv3FF2bxoIAcC6+0YCAI4VVtp9HIwxfmrMcq8/LiN0qbwWjbTS0Sbz2sWUo23b980ZBFNjWsuMkOn/PZcRokCIkHZkaqZo+8+UK5hueWrMGFi18HzOMmW4Yf+7g3n2NdEjXU99o54PLAaFduPvnzYiDGJjLdyy2wcBAP6bZfhQvfOffwAwBE7NXTTcoDR02y+v1tndoqGuvhENxrEBFnv9KQJNm27/kutYlsnTlJoVGLd0UeeKNDZqhLiMkJdZiQIFQoS0I1MzRdtvHtwLsNzOjJCrvhlxH3wZdnYTJl2P+YfOMIVpw+ehYabO/JG95fxt841Zb+4f3OzzDgkLgJeDLRq4GiSRqOniAvOGjpszLtn1fJ6qxCwQKrjuft24zTNC1c0EQj5eInSXUbE0Ie3O3gwOVyN03c4aoZYyTM4SZfyAK1Vr+X5HxLOY9866obcpEIrqYwp+po0I429PTTJ1zd9kLKS2xrxFQ56dLRq4ffm6Sbytrtp8dFJ/AADNjNlWYXaBVqtrxFU7e565CmGxtGWNkOF/vo+XmC+op4wQIe3I3gxOcDd7M0L21Rw5Czd9ARh2ICeexzxYHxBimhq7sW8Qf1skEmHeuL5Nvte7hbq3/sYWDfZmHLmr/+Z6bk0ZHgqg9TvbewrzzssAkO9m58s8S2nZUNGUERKjux/3PuxegR5AgRBxYfbXCHHF0rZfgFwRaktTbc4iEokwvJchGDpXSgXTnsg8+J8wsAcW3zYQq2ePaLKf11t3RQq+/nhBdIvPHcZvi2HfknfuQ6+br/VA6IZehixViVpjteMwMaixyO7mX3Ovpqm2aoS4QnDzqbE/z7vf1D4FQsRl2ZvB4fZBannVWMt9iZzt3ht7A3DP1SWk7cz/RsViEf4+fRgSJvZvMk4kEuEf90YBAG4fForpN4Q1GWNpSJghw2TvBqxccNNcRkju58OvFDpyqcKu5/RENRZBYtrJUicdSeuY1wipLabGuGJ6Hy8xv3rXstWCO3CdfQYIscDVS7QUuATb2UeIf75m9i1zBdweTlR34Zm0draMAID/u6kv/u+mplNkzRkV3h2AYcm7PbgP8AAb29FwW9/kXavBrUN6NjvOk3G1Vhx325/NfMuX5qbGJF5ifupVVVcPbUMjjlyqxKG861g2ZVCzOwO4Cte9NCYeT2tnRoi7Kq3SNtjc+dgdMkJcnVCJWuN2q0tI22n5bWXa/280oofhg6pYpbFrh/AqPiPU/OvvrjGGDOZON8tydCZu4QP32j5TWuU2r229ngkK+Jssnzc+5u0lglzmA4mxTq3wei0e3JSBd3edRaIbbBvkup8IxOPxNT0tfCgE+nrzL0BbKzK0fM2R62aEuDoOXYMeFW64DJW0jb1NRFsjyM+H7wdkT1aipoWpMcDUYbqlHl6erMaYUbllsCljdqXSPbYm0VpsZG25fF5nViwtEomgkBvev77NLOTHmN92VRQIEZdlb42QSCTi27vbekM2FaK67p+9xFvM/y721nKQroP/G+2AYF0kEvFZIXtWLnEferamxiKVhoLp0yVVzY7xdFxBsVzmw+8p+N/D7lEDaJk5tLV8HjBtHr37VBk/RlVXb7OJZ6la4/T9FV33E4F4PHv3GgPsK5h29eXzHO6qqkRlX+M70nXwKyU7KFjv14PbGqPllUstFUsD4HsTAYCKMphWmTcd5Fb/XbjqHqtC6ywCoRpdo2BLlQazGiEAGGAMhC5arIw7lH/d6vN/c6gA49bsRty7+6w+3lkoECIui5smsKdegluxYKtguiOnHdoTt31BMQVCHkfLTwd3zN8oFwhZflBZU9PC8nkACDIuVACA827y4d7ZdGZT/Pfe2AcAsP14MR9EuDJrdZXmBdP81Ji3oRia2y/R0paDBVbv/+20IXOUd63GqUXkFAgRl2W6OrYjI2Tcb8xWU0W+ENWFp8YAU50QbbXheTq6oL+fcWps+7GiFsfyfYRsZIQAYNKgEADuk+XobOZNB28bFsrf7w7TiVxGSC7zgcR4QWo+PcZNjXmLDY/179lN8P23DTXURf10rMhqgbh5B/3jl1XteOSOce1PBOLRTPUSLf+Z2lUj1OD6xdKAaR8nvZusLCHtp6P3w+OKm9WahhZXLvFTYxLbgdDAnobg6ucc2nzVGi7LJ/EWQy7zwUjjdil7z7p+93guMJf5ePG1YuYZIfMgDzBNjXHW3z+Kv22tf1JFjSmoyi2iQIiQJhzpqRIa2HJdjTsUSwOm7RSutdAXiXQ9HZ0RGm3sJQQAZS3seWXP1BgAKLsbgivaFsY6y2CB63vW2YFQtbYB6eeuNZmSu1xRi3Ol1rNTdTpTYM6tODRfQs/3ETJOjYWb1Yx19/NBj25Sfjr28a+zmjw/ty/Zwlv6I358v1b9Xu3BtT8RiEdz5OqYK9ossDHPzH/IuHhGiPtgKVNTjVBnqW/U84G3M3V0jZCfxBtKYzH+xRY2X7V3amzWKCV/+4QTr+pdlc4sIwQAEwb2AACoO3lz0sSfT2HBZwfx1s+n+PuuVWsx6R97MO3dfci90vT/nfkCkwBfQ8doa1NjPmb73L0x9wb0DJDiuRnDAAD/uHck/9gP2VcEz19Ra7jYWzC+H/++5wwUCBGX5chu8VwgZGs1TEdPO7SXUOPKklI19WbpDDmXVRj84i8Y+lKq0/fM6oymn0OMS7jzWiiY5joi21o1BgC9zT7AZv4zHZP+8RvONpNh8ES6RmEgNHW4YTuU0yVVnbpsnCtY/vzPfP6+D/ac52//a9/FJt9TZzY1xgXE1jJC5oFQfEwEMl+cigdvNnQ9Hz+gB//Yiv8c429rGxr5DWm7y0xF985AgRBxWaYtNuzPCKk1Dc0u4zVNtbn2nz23EqeuvtElshRd2aXyGszemM5/Hfnqr048GrO/0Q7MWnK72rdUk2FvRggAXpo5nL99uaIOce/uE2zN4MnqGwxZE26JOdfLCQBOF3dOwGj5/4KrD7tglhW0tmk1HwhJvPg9xCrN3l/rzTZdtWXjvDEAgEY9w+UKQ9aee58Wi8BPuzmLa38iEI+mdeDqWCbx4nt0XLpu/UrXkb5EzmT+wWPZ0p60r9Tckib3fbz3ghOOxKAzspb9jcXNWw8WNLu4gDHmUCD0Vysbw7ZX8XSVph4f/n7erm1BXJFlRkgsFpky2M28V7U3LvjgcFv47DOrU7I2VWqeoQwLNLy/ni8zrQ60lhGyZtZI0/TptqOG6bFK49SgXOYDsdi5e5FRIERclsaBjBAA9GuhTsiRvkTO5CUWWU1Dk/Z3ttTwph5rtmHoWifujdTRDRUBw271HGsFrIAhG8s1zrO11xjHSyzC/56Iwd+nD4WfxDD+1xNNg8zWiFqdhnWpZzDs5dR2eb7OpmtoGiyMjTAsiLB3A9y2OlGkFny943hxk2L5YpVGsJwdMGWSfH280Ms4BfrfLNOWGY68R99j3Jduj7Gonsssdfdz7rQYQIEQcWGO1AgBplqG749csfq4u3SWBmC2QoO69Xak744YtjqYN64v3ph7A39/jpN6mvDTwR04Nda7uwwJEyIAAOdKq6xuf8AF4CJRy8vnOWMjgrH4tkF47NYBAIDMZroJO6LRxtYM7kJn0X0ZME2P2dPhuz1UWdS+7b9Qjv0XrgEwtD8I8jNMe1lmhbgMpczHC0ONtWWaej0qjP3aTAtQWn6PnjbCUBuVYyzK5gqluxt/tjNRIEQ6Va2u+Roec4wxhwOX45crARi6lVpLo7vL8nkAVpeqkvZlvkpmdHh3xMdE8F+b1w11ps7ICAHAC3caanrUmgYcM75uzPHTYhJvh6ctZkb1AgBU1Nbz2ZDWKrLYnNRVLgyuVNZhxnv78PavLWcPLZeYA6YO3/bs+dYeuMCFC8b2X7iGvGuGn90zQMo32jyYJwxezYulJ5tlTbkLCEea3k4YaGi8qWvQo6xKw38OdJe5WSD00UcfYeTIkQgMDERgYCBiYmLwyy+/8I8zxrB69WoolUrIZDJMnjwZJ06cEDyHVqvF0qVLERISAn9/f8yZMweXLws3oKuoqEB8fDzkcjnkcjni4+NRWVkpGFNQUIDZs2fD398fISEhWLZsGXQ6Yd+VnJwcxMbGQiaToXfv3nj99ddbbCJGOo6qth4jXvkVo15PE8xNW9OgZ+AuBu29Ov5X/Fj+9k4rzbs0brD7PMfaUlXSvo4UVPC3uW7e5n12LD+EO0NnZS0l3mJ++jXHyrJp7u+upR5C1gwK7cYH8tmFla0/SDTdCsSeqSTGGP6Rehr/SD3dYe/3H/9+AadLqvDBngstBnvWpsa4wKOgkwIhbg/G+8YatvjQ1OuxybhKbPyAHnzWvdyiZsz871EkEmFM3+4ATP9fHKlpk5tlfnafKuMzQkHuNjXWp08frF27FocPH8bhw4dx++23Y+7cuXyws27dOiQlJWHjxo3IzMyEQqHAtGnTUFVlqoxfvnw5UlJSkJycjPT0dFRXV2PWrFlobDRdwc+bNw/Z2dlITU1FamoqsrOzER8fzz/e2NiImTNnoqamBunp6UhOTsZ3332HlStX8mPUajWmTZsGpVKJzMxMbNiwAevXr0dSUlKrTxZpm8OXTFcbD/37kM2lo+YZHXuvjm/uH4zBoYYVMefKmrb7d8epMbUxI7Tt6BVkXWr7VAMxyTdeET9iVuj7/ZMTTLePdP4O4dwHS2fUsc0bZ1jebG2pO7/zfCsCIZFIxGcezlt5HVpz/8f7EfH8Dr6QlnPRYtuOfDumki5crcZHv1/AR79fsPvnO8q8zcL092xvGFpvUSwNmOoZS9SaTlldxwVC5p2fuWzPzRHB/LTVJYv6Su7YZMa6r/njDE0P8/lAyLGVuNyWGxfKqk3F0u42NTZ79mzceeedGDJkCIYMGYK33noL3bp1Q0ZGBhhjeO+99/Diiy/innvuQWRkJL788kvU1tZi69atAACVSoXPPvsM77zzDqZOnYoxY8Zg8+bNyMnJwa5duwAAp06dQmpqKj799FPExMQgJiYGmzZtwvbt23HmzBkAQFpaGk6ePInNmzdjzJgxmDp1Kt555x1s2rQJarWhKGzLli3QaDT44osvEBkZiXvuuQcvvPACkpKSKCvkJFctivMGv/iL1SZegOkDAXDsQ+G+aMMVj7UeKdqGzvuQaStTRqgB/8u6jOXfZuPejw44vc9NV8LVZwzoafpwEItFWDDeECB8sMf66rEPfz+PiOd3IOL5He3+XuJIN/W2GhpmqPlIsVJTV+XAijFr7jYWxh7Ka3m/vIZGPTLzDdm55d9mCx6zzADl27FZLFcADwCv/miakdh5shQpR9snuDUP0Gz1Y2KMWW062N3PB4HGINNWE9j2wmVfgv2bZl/GDehhakhrcb7rLC4e+4cYp/SMv3Odg01qJxr3pftv1mVcM34e9LByTJ2t1Z8IjY2NSE5ORk1NDWJiYpCXl4eSkhLExcXxY6RSKWJjY7F//34AQFZWFurr6wVjlEolIiMj+TEHDhyAXC7HuHHj+DHjx4+HXC4XjImMjIRSaVqSN336dGi1WmRlZfFjYmNjIZVKBWOKioqQn5/f7O+l1WqhVqsF/0j7sLZU17y5lznzQmmRyP4ahQHGTf8sryQZYw71JXI282LpZ/5rakLWUVe4nojLLpj3dQGAO401LnX1jUg/d63J961LPcPf7r/qZ9z1wZ/tdkyd2fRziDEQYkCTgmmuNq2bb+uu1gcZM7N77Nh2479ZwuDk6wP5/O1SY3f1kG6G93F7amrOmQVC+y8YArH/ZV3Gwq8O4+lvj2GPccfz1tI2NOKYRTG9upkpbC4IAoSBkEgk4qfHOqNg2rww+ftFpqxndL8geIlNx2IZlJnvNQaYXitFKg009Y0OtyThmiuq6upxucIw9dxL7ryO0hyHA6GcnBx069YNUqkUTzzxBFJSUjBixAiUlBiWSoaFhQnGh4WF8Y+VlJRAIpEgKCjI5pjQ0FBYCg0NFYyx/DlBQUGQSCQ2x3Bfc2OsSUxM5GuT5HI5wsPDbZ8QYjdre2c1d0Xd2qClvzH1e6JILXhurdk8vjsXS9vaS43Yr1HPUHjd8EbMFa5yuKJOAFjw2UF89LspM2S5vBgw1MF88WdeuxxXZzb9HN4rAD5eItTqGlGkEtZDVRs/2Fvb6O7Gfob3eFVdfYtNQf9l0bfp5R9O8K9dLos8rn8wAMOy75YUW/wui7ccEVxM7DvXtj2+Zv3TVEjPNRlsbrsS8+l/iUWvHe7vbs+ZtgVm9qjluoRLvHFj3yCkP3cbNjw4Bp//9SYApoa0qrp6wWKWOoupr2B/Cf83UXC9lm9JYu/f64hegXxQdeCiIUjtZdzyxZkcfrUNHToU2dnZyMjIwJNPPomHH34YJ0+e5B+3vHpnjLV4RW85xtr49hjDvbhsHc+qVaugUqn4f4WFhc2OJY6pNF6V3BwRzN/X3Jx/a7ca6Gu26Z95ity85sgtMkJSU0bI/A20rIoCofZQrKqDrlEPHy+R1T2OzJfS/yP1NF8rwdUVBVhMGZnv39QWphqhjv8b9fYS81f4By4Ip7C4KVjL39Neg0O78UHCHe//gbkf/Gm1waJez/h+Nk9NGczff/iSYaqMe4zru9PIWIvTkZbZmR0WP/d4G1sjmF+M3KAMBIBmF3+YB0KW3Ze5gMC8DKCj1BgDeK7FSJ8gP8wepUSgMePXXENay4yQSCTiLzb3n7/mcN2lWCziGzNyFO4YCEkkEgwaNAhjx45FYmIiRo0ahffffx8KhQJA02xLWVkZn4lRKBTQ6XSoqKiwOaa0tOmKn6tXrwrGWP6ciooK1NfX2xxTVmaIvC0zReakUim/Ko77R9oH94KfM1qJn5fdAgA4UlBpdayWb37o2AeCxFuM8GDDB9vOk6b//9zP9hKLWuyC6gq4GqHrNfV8HxKAMkLthQtowoP94GVleXh8TAQ+fci0CnH4K6lgjPGB+8DQbshfOxO7V8YCMEyBtMf+Wp29DQz3AcZNU3D4qbFWBkIikSnAvHi1BscKK7FoyxHB9DhjDANe+Jnfb2rp7YP4bMPqHw1ZoRLj1BjX8FLXoG9Sa2ippZYTbdm2plHP+PqpHxZPhLfxvYSberLEvXZFIjT5O+MaW9pTAN5WtXbsG9eP36/RND3GZ4QkpvdhrgHiT8eLWzWVu8ws4AXcNBCyxBiDVqtF//79oVAosHPnTv4xnU6HvXv3YsIEw5xkdHQ0fHx8BGOKi4uRm5vLj4mJiYFKpcKhQ4f4MQcPHoRKpRKMyc3NRXGxKdJPS0uDVCpFdHQ0P2bfvn2CJfVpaWlQKpWIiIho669NWsG8s7N5geqp4qZ1WG3p+TOyd3cAwM5TppSzo80ZnY37QChRCz+gyq1MLxLHcdMjlvVB5qaOEF4wxb79O06XGIIdbvXNQGNNGmCoQ2mLRr2psLYjGyqamzvaUGdpeezch31AK2uEAODpqYOb3Pfwvw9BU9+I8motntgs7Grt7SXGstsN33OiSC3oQ9QnyA99ggyBleXKJktqK4HQjX27Y8vfDHWnJarWb2bMBbveYhEie8v51VaFzRyTeaG05UyEqUaoY4ulGWOmjJCk+b+rvj2aduY3b6jImRllSHqUV2tblbm3fF352dmwsyM59Knwwgsv4I8//kB+fj5ycnLw4osv4vfff8f8+fMhEomwfPlyrFmzBikpKcjNzUVCQgL8/Pwwb948AIBcLsejjz6KlStXYvfu3Th69CgWLFiAqKgoTJ06FQAwfPhwzJgxAwsXLkRGRgYyMjKwcOFCzJo1C0OHDgUAxMXFYcSIEYiPj8fRo0exe/duPPPMM1i4cCGfwZk3bx6kUikSEhKQm5uLlJQUrFmzBitWrHCo+Ja0H/PCOl8fL76b6aG8psvC27J6Znqk4YWqMrtKc6dCacD0AWSZASq3sjEicRxXByFr4e/h9Bsz+NsF12vxz93nAAARZsuQl90+CADwiZXdux3hjOnbEb0M75dXKusEU07VfLF06z+k4m5Q4IfFE/FJfLSgdm/Yy6mIfnMXfj1hyvw/HmvoRv3AWFNN5o1vGC6YQ7pJIPEW8zU1LQUOXA8krmAbAP5x70gMN/6u16q1rW70yGWoGvQMXmIR+huDmWZrhBqadpXmcL/P9RodVHUd1y9MU6/ne7L52cwINe1txC+fN/t7vG2oIZNVcL2Wz/AFSO0PmAN9ffhM400RQS2M7hwOBUKlpaWIj4/H0KFDMWXKFBw8eBCpqamYNm0aAODZZ5/F8uXLsWjRIowdOxZXrlxBWloaAgIC+Od49913cdddd+GBBx7AxIkT4efnh59++gleXqYTvWXLFkRFRSEuLg5xcXEYOXIkvv76a/5xLy8v7NixA76+vpg4cSIeeOAB3HXXXVi/fj0/Ri6XY+fOnbh8+TLGjh2LRYsWYcWKFVixYkWrTxZpG8u9viJ7ywFYr3vhM0KtuDIebyysLLhey3+4ONIK3hVwGSHLAnNrBeeOOFmkRuzbexD/2cE2d/11Z6dLDFnIGcaguTm+Pl6CYIgztp/pDXxGZC/+9pU2NGEU9M7qpL/TsWb1euYrErlgorU1QpxR4d0Rd4MCy61kh8ytusPQ6dpaTxmu2WVf/oPa9lRSjTGb9dqcGyD1FmP8gGAM6NkNQX4+fC8fbjWao7g6x4mDDKufuGDr4rUaq68n7gJMYuX/p7/Um6/L6cjGiuYtN/xsBNh9e3AZt6Y1QuaBec8AKQKk3tAz8AFWmFxY99OS3Nem4/BLU/HfJya0PLgTOPRX/tlnn9l8XCQSYfXq1Vi9enWzY3x9fbFhwwZs2LCh2THBwcHYvHmzzZ/Vt29fbN++3eaYqKgo7Ntnu9kV6TyWSy0nDAzBH+euobjSWiDU+q0GuDcXPQN+OlaE+8eGu1UzRaD51TptzQgl/nIKl8prcam8FkcLKjDOuJzVk9Q36vnlz9wSclt8fbzw/aIJuOfD/fx9EwaZVpaNUAbCx0uE+kaGbzMLsWLakFYdl8Yse9BZu3Gbf0A/uCkDh18yXNSq29BQ0Zq5o3vjckUd3v71TJPHvntS+GH4x7O34ZZ1e/ivue0h+IxQC1Nj3EVUWKAvzrx5h+CxXnJfXCqvRbFKg/BgP2vfblNFjXCj0LBAKbpJvVGtbcC3hwsRP76fYHxVC6vvInr44WqVFvnlNYjqI3f4eOzBBYZ+Ei+bf1d9rWWE6ptmhEQiESJC/PmO5CHdJK0q7udaIrgC97g8Jl2CZUZI2d1wpWftKrotq2fMpz5/PFZk/NnG53OTQCjQojaDuzK/WqVtUxM/89VBm/5onyXf7uZzs6XuA3s2XyNk7sa+QTj2ahy2LhyHvMQ7mzzO1Yq0tHWMLdpO2mesOebZRm7KIySg/T6sFt82CFkvTcWhF6fg3Ft3IGPVFOSvnYnofsLpkfBgP1xcYzrHwd0MQYe1Yl5rtA3N1wMqjNklyyX29qrkt4UwvD4NReGG59yScanJ+JaKzrk6IVuNItvatJPLCNkqlDYci+H8Fqk00DY0gjFmViwtPJfmq3O7wL64FAiRzsNlhLhghFtVUmxlJVRbV88smjwQgKm5WmuX4zuL5RXkEEUAvMUiaOr1Vs+XPVS19Wgwe9fadarp6kxP8Luxyd/IPnJ+1Y895DIfTBgYYrXG8P5oQ21LdmFlqz+4OrOZornvnozhbxer6nCutIoPNkLbMRACgB7dpAgN8IWPl9jmaiGxWIQtfxuH2aOU+PoRQ5FzX75GyHbQwHeQt/Jat/WeYw9uWwjz/bGemzEMAHC6pKrJijRT0XnzGSEA+DnXem+75clH0X/Vz/ghu2n3b3vV2NklvIe/hC+mPltSDV2jHtyfsuXf5OxRpulgrs7MnbnHpwLpEiyDG66RVolK06SzbVs/FLhW7hW1Ouj1zA1XjQkzQkF+PnzB6e5WdsY9f7Xp8m5b2wO4G21DI/6dnmd1FaI5rtvwktsGtdvPjhlommL85lDreo9ZZkw7y419TRmZmMTfMO1dUzlBz3YOhBwxcVAINjw4BkHGLRi47ElFbb3NTs7ch7e1bLLC7D2nNSpqhVNjAHCr2a7sz3+XIxhvmhqzXkwcaOy1ZK2GCAC2ZRsy2k8lZ7fqeAFTD6GWAiGRSIQaY3H0lco6QX8jy1rN6TeYauvuje7d6mNzFe7xqUC6BK3FdFdYoC/EIkOvjWsWtS9tDVy4TrTaBj3OllW53aoxy54jgTIfPntxpaJ1af0LxpUtkwaFwM945Zd3rWts2VF4vRZDX0rF69tP4o73/2i2V8z+86YtMyaa1fm0la+PF9+/ylrjQHs4q45NJBIJmpyac4WlzZxuUm+EGKfJmisu1jSYr7xr+t4RZgzsWupF1Bxuaqy7zBTY+HgZCrIBIOXoFcS9u5d/rKqFWituwci1Vh6PPar5HkIt/13NMAY4GRfL+alasahpM0iRSIRjr8Zh86PjcNdoCoQIsZtlO3YfLzFCA4xz9hYF09zctJ+Nvhe2eHuJ+RUdP2QX8S/qzurP0t4Ugb6YM8rQ86W19Q1c9mdAT3++QR3XWNDdvbnjpODr6e9aXyTx7WFDtqa7n0+LNROOena6YYok/fy1Vk2PmYL1zn9bfmRS/yb3/X360E4/jpZwtSnZhZVWH9eaZTGsLVnnskvNNUBsCfd9Qf7CDM/7fxnD3z5bWo0y46o0LiNkWfPH6WksGL5a3bbaP1vsnRoDwE+dC6YYvb2sTgfLZT6YNNj6VLG7oUCIdArzZnHmKevmCqa5PZ1kbbgi5aaSfs0taVODRmcxz4YN6xWI3saGctZW2dnjh6OGOoP+If4duuHjySI1Ip7fgQc+PiBYutuRzHvSAIbNOc2Xo3N+ME41/OWmvu1+DFOHmxrFmW/vYi9nBuszIhX49rHxeG7GMLx930h8NP9GPBE7sNOPoyXc3+03hwqsPm5eKN3chzdgmuJylOWqMU5YoK9gW5ZXfjDset9SsXQPY4ZL16Bv8bVi7e/ZHtdruALvlnd5jx1iyJKWqDVuV1fZFl3/NyQuwXyqwvwDvk+Q4QrvcoUwM8G13W9tRggAHplouMq9eK2Gb1hmq6GYq/k84Sb+9pxRSiiN9Q3mfT7sxRhDkbEuYkDPbnyRpj27eTvqzn/+AQA4lH+db0DYkcyb0e37+238bfPl7gBwpMC0tc9DMcJlzu1BJvFCb2Mx7sG88hZGN8WvlHTSB8+4AT3w5OSBuH9sOO6I6mV16xFnG6YwtDtorkbIlMWwfg65YKDSSkbo470XMHdjus2Mq2nVWNOgIj4mAqPDuwMAUk+UQFPfyDembG5qzE/izQcaXMDCMd+nDGi6DYq9jl+uBGBfvVeocVVdiVrrtOJ9Z6BAiHQK82Zj5m9SXJajyCLLoa5rex8T866lG/ecBwD0CnT+vjb2mjAoBMmPjcehF6cAAD+NWKrW4vGvDzv0XOZvouP6B/OdkTsiI2Tuk30XBbtZdwRu24Necl/07eGHO41bAJwsVgvqdb4/YtpGwtpGq+3BkV3SLWncfPq2M9xv7DxdeL3Oajdmy15llkyBkPB7NfWNWPvLaRy7rMJ/Mq1vlaJr0PPFxEFWGj8CwJt3RfK3Ez4/ZNaPqfnOyz38DQFKuUUgVGeRASpoxQUQYMqW2rMCkGsvUGpcQg+4zwKTtuj6vyFxCVwgJBZBsGSZe3Fadpe+auxj0rMNTbe8vcQYatEwr6M+ADvK+AE9+ACIS6MDhje3sioNGhrt6w5tvjrM18eL32Pr0vXaJleebWGtzmHU62kd2sX6m4OGaRKuJuyDeTfyjy3acoQ/Jm4/rcW3ddyUD7d6LOtSRQsjm3K3pp/OEOwv4Wt/jlmpE+JX3jWTVeturO2pq28UTDWZ9yYy3xjWHJcN8hKLmq35iewtx5i+3QEAGRevY/dpQxBi64KOe11ft+gabzkV1po9yczP0Y39Wt7OgltVd7Vaywd9nvD3SIEQ6RRcytpy53eufX6ZWvjmw72AQ9uYwXlp1nDB11wGyh35Sbz4zT4B4K6Nf2LQi79g29Er+P7IZSxPPtrs0nGuCyy3Oig0QApfHzEYQ7vsms4xr/WaYbbE9tcT1vuktBVjDN8ba5+44E4kEuENsyvz4a+kokyt4VP9cztwlUvsUEMReoOeNfuB2hzug8ee1T2ebHCYIeC1ls20XJlqKUDqzU/5mWeFzKfKmutczWVsust8bHZo/s/jpr5M3HWBrT3bgo0F3JZTYxqd8OKhoIWO2tbsN2ugOrJP9xbHh3STwkssQqOeIe+qoc6tvRcVuCIKhEin4LIOlv0yuIxQidneP+b1RIo2BkITBgqXSPd2s4yQOZFIhJ+WTuK7IXM1P8u/zcaK/xzDtuwi3PH+H3xNgDluFQv3pis2NmcEWl97YA03FSXxEuPj+Gh+x/BzZR2zTP+kWeD32K0D+NvmWx1o6vW4ec1uAIbdt+3ZVqO1uOwdAOxxsN8Tt0DAlZasu6IY47YweVZWPLY0nSMSifil7+YrxyrNptmaaylRbszYtLQ1hOXFHtD8qjHA9JpscWqsFRkhLtNub+G7l1jEvycfKagE0Pb3YHdAgRDpFLpG60WM3FTV5Yo6Plgyb/UfFti2hm6WBZ+2utm6A3+pt6A7tDUP//sQGi3GfHnA0P5/yvBQ/j4uY9Pa5nLWpJ83XIGOM/ZVeTgmAgBwoYMCocLrhiDOT+LVZO8o88JpzihjMWtHiuxt2tHdETUO9HvxZFx9W761jJAd/cK6+zUNhMzrjQqv1/G7rpvj9vnjAhdb8tfOFNQRDVU0H3xzRcyWGcSmNUKOB0JclqmHHcfM4aaYue2JwigQIqR96Mw2lDRn/iLjaji45mK95L7t0qPi0ItT8FBMP+xYNsnq1Zq7uamZ5necitp63P7O73xtTJlZtu0GpWljRy4obO12A5ZKVBp+ry2uqJV7U93RyiaDLXlicxYA4Ob+Tc9J3x5+OL46jm92BwAfx0d3yHGYixthCDAd/eAybY5JGSFbuLYY1vbn4upqrPUQ4nAF0+ZF/JYF/f/+s+k+fFxGyLxWz5ZVd5qm5W318OF7CVk0VeSCMS6LXnC9tkkH/pZwx2xP8MaRy4TZq7ZejLoDesWRTsEFQj4WGSEvsQgDQvxx8VoNEn8+hQdv7mva8LGddicODfDF63MjWx7oJt68K5IPGv98/nb0CvQFg6HOIfrNXQAMhZWbDxYgfnw/HDfutA4YdkrnmLY4aZ+pMfPl6VwtEtc5FzBc8bbnjtOFZoGGeT2SuUBfHyQ/FmP1sY4ywDh16ej2JVzLCHsa33kyLhC6eK0G2oZGQT0QVyMks9F2g+sBZN5LyHIF2jkrdXNcRsjev+EHxobjvhv72KwnAkwZIcsFI1xQNyDEH+fKqqFt0KOsSutQVpubbgu2M3gDDP2wtputenT3LLo93P/ymLgFbmrM2pXaq3MMjcjUmgbkXlHxV0YhDrx4PYmvjxfy185E/tqZ6N1dBrFYBC+xCD26Sfml9gDw8rZcVNTocMFY9Djb2Jma08s4LVnUThmhIuNU0E0RQfybZ88AKT8Vcb6dp8e4QKOHvwR/ubn9GyS21sCehizYxas1DnUL5hrq2foQJ4aaFa6/2BNfZwke46aTZDamxoKNK8eum23rU1lnCBgizHZgt1SiMq5kdWD/tZaCIMCUFS+1WDDC/T0Eynz42kZHs4zc7+jI1NhtQ0MFX5s3Cu2qKBAinYKfGrNSxHjrYFNB86wN6fg03ZCW9oQrkfYWGuCLmVGmnaGXJR/FL8adrbkia04vfmqsfTJC3PJey6m7Mca6HG7arL2UGQNm8yyXK+gf4g+RyJBlsCyAtaZYVYeFXx3GXuP5oQsA28RiEUYZV0Dtv1AuaP/ABUK2mlJyBe1lZlNR3Aoy7m/JWt1cidrwOunVzu9L5q9D88D5mlkLkX7GAG3nSftXXzbqGT815kjwJrfokUSrxghpJ7YCIZFIhLfvG8l/zWUOPKFIryOsMzuXf5y7xu/LxL2ZcrirzOJKTZPi6tbglh1b/hzLWqTM/Ov4+kA+vw9Ta/1xzhA4OHOHdGt8fUwdpj9Lb1prYikm8TfsPGnaIoT+7lv25SM3AzAUR/9o3DYFMNXV2CqW5mpezIMdbmpsuMIUCFnW43Bb2/SSt+/KU+7/t6ZeL1jS/5tx1WFINwlfR5SZb39/qrIqDRr0DN5ikWA1oyOsvV93RZ7xWxKn46bGmitWvn9suCAYAtr/ystT+Eu9cfL16U3unzSop+DrsEBfSLzFaNCzJluctAaX8ekbLMw8RfczZIiOFlSgRKXB/R8fwMs/nMDD/z7U6p9VVqXh9w1zxZoarjg127gEuTl7rWTJPGG5cltJvMV8rdDK/x7ja3rK7ZgK4qeizDJCXCA0RBEAkcjwfsVl8wrKa6HW1KPImDnl9kdsL74+XnzdkbWVhmKxCHcYs7zZhZVYsvUI1v96psVpV26qWiH3dXi7lMdjDa0oXptzQwsjuwYKhEinqG9m+by5+8eGY/oNpvloujJuPT+JN2aNNE2RSbzFTTInXKE6AL6OqLXMszuWU3Bcp9388lqMT9zN33+koBL7L1xr1c8zzwLcHx3equfoSK/ONnyAnG/hvD76RWaT+xxZ4ePJVsYN4W//1XgeuSyPre0kQvkmrk0zQiHdJPz3FqvqcKm8Bre98ztm/vMPvu9WR7wvccFVkVkgVGo8vtuHhWLioB78/duPF2PjnvNIzbU9Tcb1B2tNN/1n4oZi//O340EXqr3rSBQIkU7R3PJ5S+vuHQUA8PESYXgv16r9cDfmzSQ/XnCj1THc8vY9p9tWv3PhqmmFlGU3cPNu2JbmbTro8LRc1qUKvLnjFP/cUX3kLXxH5xti7H58tUqLimbqhLQNjVZ7QrVHywhPYN4y4XJFHa5Va7HrlGE6KVDWfAPDULO+Pdz0FzclJZf5QCE37X/464kSNOoZ36+qh7+kQ7acUPI/0xQIcUGdoTi8adazpW7t3P6NfVoRCPl4id1uO6K2oECIdApbNULm5H4+OPryNOx79jbKCLXRgzeH45m4Ifj79KFNVoJwuC1Hvs645PCWEOaOGpfOc11/zYlEItw9xrSthb/EC/9OGMt//cL3OQ79rM/SL/K3743u4+ihdooAXx++6HnMGzsxIXF3k6kM7ordT+KFY6/G4a7RSvzvic5d6u/OQgN8cesQ03Qv11ICgM3u4dw0VH0jQ2VdPfR6xu9mL5dJoDRrK2HZ26ejFnBw2VquAWKNtoHfsJVb3Xl8dRy8zaa4LrbQnuFKpWG625MCmtaiQIh0CnuWtXKC/CXtXpDoiUQiEZbcPhiLbxvUbJZhvFngwm1e2hrc3nARzWR/3v2/0XgmbghG9ArEn8/fjtuGhvJ/Cwcullv9Hmu+PpCPn3NMV8JxI1x3ae+kQaaMXJFKg8MWG7FyWyb0DfaDXOaD9/4yBmNbaJZJhL565GZ+Kvaj3y8AMKzas5VNlniL+a7PJSoNqjQN/J5gcpkPfwFWotY22aW+o+oWuU1ZueCH23IoQOrN18AF+vrg/Jo7sWvFrQCA45dVfBNOa7iMkDvvr9hZKBAinYKbX5d6wE7G7mSy2RV1W/Yc4/quhAc3/6a75PbB+PmpW9DdTwKRSIQ/njNsgVFwvVaw07aqth5/+/Iwdpg1deO8/MMJ/va6e0dicAfuG9ZW6+8fhaenmupYfrWo6eA2DbVcZUccw2VpuDqfOyKtN9c019e4Qe+l8hq+h5CfxAsSbzEf7BRV1qHWYpuLjspSBxj3IqsyBkLcCjVrGShuc2EA+PD3880+JzfNRhmhllEgRDqFIxkh0nlEIhH+cW8UAKDUorOtI7hVO7cO7tnCSJMe/hL+ynzYy6mIeH4HtA2NWPGfbOw6VYrFW4/Y/P67zKbbXJG3lxhPTR2MldMMwdCn6XmCGhBTu4Hma6hIyyy7iltuEWHNALPu1FzWh9uMta9xz7pL12uhsdhzbGQH1aMFyriMkOFYuN5e1gIhby8x7owy/M7/OXy5yeOcK8YLG3feaLqzUCBEOgXX30MmoT85V8NPBbSyw7SmvpHfrsBy41NbRCIRf2XOGfpSKs6WmbY3UJutRmOMgZvh+/v0oW7T46SvWcbn3Z1n+dvmU2Ok9W7sFyT42lahNIdbep93rcbUyd5Yp8P9/yoor2my8WlHBd+mjJDh7/2Pc4bVlM1NxT1+q2E3+atVWqvTY5W1OlQZ72/v5f5dkXu8kxC3p20wNjrzpoyQq+GuOkvVrQuEuGBFJDLUNDjiXwuaboLKrdABgJGr0/jbFbX1fC3Ho5P6t+JIncO8Vui/ZgW9zTWgJI6xzHjYlREy1hX9klOMv311GIBpQQeXoauoredfE3eP6Y3fVsYK9jVrT1yNUMbF66io0fE7v3MBkqUosz38XvvphOCx2Lf3YPTrOwEYWjHQJr4to0CIdApTRogCIVfDda2tqK0XbFdgL3Wd4cozQOpt195K5hRyX/y0ZBJGhXdvNojijolbLtzdz6dDljB3lB7dpHj/L6P5r9Uaw0olbt+ofsE0NdYWloEPt7u8Ldx+cDVmU19cA8VuUm9+xR/XFuLeG/tggPF7OsIgs+eesPY3/vZNEUHWhkMsFvF7gP3n8GX8378OIOL5HYh4fge/1Q3gWIbWk1EgRDoFFUu7LkPxsuG25SoZWxhjOFNSxe8Cb7lHkb2i+sjxw+KJ+E8zS8fzrtXgTEkVVhmX2btj5+U5ZhvejlydhtIqDXQNeniLRTR10UaWKyLtWdk11EqR/fr7R/G3LacrO3pK3zxgMZ+Om2Jjw9O37o7kbx/Mu251zEPj+7XD0XV9FAiRTkHF0q7LSyziC0Wv27FJKOe/hy9j+nv7+K6+9lyJ2zK8VyA2PTQWU4aF4rsnJ/A7gce9uw/T39vHj3PHtv+WH9b51wzBY+8gGbxbaDJKWjZvnKkDsj29fqxlLmPNVlBaFrDLfDp+esmyh9ScUcpmtyQCDLV9D8dYD3RWzx6B/LUzXbbPlqtx6BWYmJiIm266CQEBAQgNDcVdd92FM2fOCMYwxrB69WoolUrIZDJMnjwZJ04I5zC1Wi2WLl2KkJAQ+Pv7Y86cObh8WVj9XlFRgfj4eMjlcsjlcsTHx6OyslIwpqCgALNnz4a/vz9CQkKwbNky6HTCN/KcnBzExsZCJpOhd+/eeP3111vco4W0PwqEXBu3rYMjgVBmvvAq1Nb+TvaaNiIMnyXchOh+QRht3LXe3MJb+mOclaaN7uD0GzP42z/nGFoDUKF0+1hzdxS+XzQBPyyeaPe06dp7opp9rGlGqOPftwZaTL3ZE8Q8Pc3UnuH1uTfgm4Xjce6tO5Aw0X1q6FyBQ4HQ3r17sXjxYmRkZGDnzp1oaGhAXFwcampMHS7XrVuHpKQkbNy4EZmZmVAoFJg2bRqqqkwrQZYvX46UlBQkJycjPT0d1dXVmDVrFhobTSnBefPmITs7G6mpqUhNTUV2djbi4+P5xxsbGzFz5kzU1NQgPT0dycnJ+O6777By5Up+jFqtxrRp06BUKpGZmYkNGzZg/fr1SEpKatXJIq2nred2haarX1fEBUKnS9RIO1Fi18WCeS0CYF+RqiPeuCtS8PXXj96MF2eOaNef0Zl8fbz4D9g/zhm2NOHqs0jb3dg3CKOsBM/N+cvNfXHvjYZgY/wAYSNLywJ2rmaoIwVZXEjY2pqG091Pgvy1M5G/diYeiolAzMAeNrNIxDqH8n2pqamCrz///HOEhoYiKysLt956KxhjeO+99/Diiy/innvuAQB8+eWXCAsLw9atW/H4449DpVLhs88+w9dff42pU6cCADZv3ozw8HDs2rUL06dPx6lTp5CamoqMjAyMGzcOALBp0ybExMTgzJkzGDp0KNLS0nDy5EkUFhZCqTTMv7/zzjtISEjAW2+9hcDAQGzZsgUajQZffPEFpFIpIiMjcfbsWSQlJWHFihW0p08nooyQa+MCodd+OgkAePf/RuHuMbavSPPLhS3+bdUztEaArw9+WjIJT2zOwui+3QV7p7mrAT39UXC9FvnGIPKG3q63T5oneevuSNzYrzsmWvxtmQdCMh8vvrtzR3vw5r745pChwzv1/+k8bQodVSoVACA42BBN5+XloaSkBHFxcfwYqVSK2NhY7N+/HwCQlZWF+vp6wRilUonIyEh+zIEDByCXy/kgCADGjx8PuVwuGBMZGckHQQAwffp0aLVaZGVl8WNiY2MhlUoFY4qKipCfn2/1d9JqtVCr1YJ/pO24QMiXVo25pB4WmYmUo0XNjDSo1TWgzGIfJm4D1/YU1UeOP5+/HR/MuxFeDq5Ic0WWe2A1tyqIdA5fHy/MH9evydYwfc1W8oUGSjvtojnxnii8MmsEPl5wo8MrMEnrtToQYoxhxYoVmDRpEiIjDSnskhLD8tawMOGVYVhYGP9YSUkJJBIJgoKCbI4JDW26SWRoaKhgjOXPCQoKgkQisTmG+5obYykxMZGvS5LL5QgPD2/hTBB7cKvGqI+Qa4qwmAo4YrEvliVuWizQ1xszblDgziiFzY0uicF9ZnUfcpkPBofSOXNF5lNhC8Z17sqrRyb1x4zIXp36Mz1dq/N9S5YswfHjx5Gent7kMcvo2dAR1nZ0aznG2vj2GMPVPjR3PKtWrcKKFSv4r9VqNQVD7UBDfYRcWv8QYTanWtvQ7Ov2t9OleOQLQxO6AT274eP4pk0RiXVDwgJwcc2dyL5ciV5yX3o9uCiRSIQND45BxsVy/OVmev/v6lqVEVq6dCl+/PFH7NmzB336mK5wFArD/ieW2ZaysjI+E6NQKKDT6VBRUWFzTGlpaZOfe/XqVcEYy59TUVGB+vp6m2PKysoANM1acaRSKQIDAwX/SNtpGqhY2pX1t1KYyTX8s/Tqj6ZVoNSwzXFisQg39g1CLznVgLiy2aOUeOvuqGa7O5Ouw6FPJcYYlixZgu+//x6//fYb+vcXLtHr378/FAoFdu7cyd+n0+mwd+9eTJgwAQAQHR0NHx8fwZji4mLk5ubyY2JiYqBSqXDo0CF+zMGDB6FSqQRjcnNzUVxs2qE6LS0NUqkU0dHR/Jh9+/YJltSnpaVBqVQiIiLCkV+dtEF9ox71jYZMHBVLuyZry7jf332uyX2VtTrBFhhDwzqu2y4hhHQGhwKhxYsXY/Pmzdi6dSsCAgJQUlKCkpIS1NUZ3hhFIhGWL1+ONWvWICUlBbm5uUhISICfnx/mzZsHAJDL5Xj00UexcuVK7N69G0ePHsWCBQsQFRXFryIbPnw4ZsyYgYULFyIjIwMZGRlYuHAhZs2ahaFDhwIA4uLiMGLECMTHx+Po0aPYvXs3nnnmGSxcuJDP4sybNw9SqRQJCQnIzc1FSkoK1qxZQyvGOpnGrFOqO22N4Ekk3uImm5h+f+RKk3Hp56/xt1fPHkH9Sgghbs+hGqGPPvoIADB58mTB/Z9//jkSEhIAAM8++yzq6uqwaNEiVFRUYNy4cUhLS0NAgKko8N1334W3tzceeOAB1NXVYcqUKfjiiy/g5WX6kNyyZQuWLVvGry6bM2cONm7cyD/u5eWFHTt2YNGiRZg4cSJkMhnmzZuH9evX82Pkcjl27tyJxYsXY+zYsQgKCsKKFSsENUCk43GF0iIRIHWTHcM90ccLbsTeM1ehbdAjObMQg62sAjtXWg0AmDo8lIIgQkiXIGLUZtkmtVoNuVwOlUpF9UKtVHi9Fres2wOZjxdOmXXXJa7p+OVKzNn4J0K6SXH4pamCxyKe3wEAeHbGUCyaPMgZh0cIIXax9/ObLs9Jh6ujrtJuheupcq1aiyqNaRPWam0Df9ubepwQQroI+mQiHU7L9RCi+iC3EOjrw/dR4TYHBYBStYa//VBMRGcfFiGEdAgKhEiH0xn3kLMsxiWuq3eQYRXZ7I3p+OmYoct0qcoQCA3s6U9BLSGky+icDVSIR9M2GDJCEtoM0G1wQQ8ALP3mKEIDpCitMtynkPs667AIIaTd0SeTE2kbGgV1F12VjguEKCPkNjY9NFbw9ed/5qNUbdhbLCyAAiFCSNdBn0xOsvaX0xj6UioiX/0Vu0427aLdlVAg5H6i+siRv3Ymv4Q+9UQJth019BUKDaRAiBDSddAnk5OYr6D621eHnXgkHU/XSFNj7urV2Tfwt0+XVAEAegZImxtOCCFuhz6ZnGTqcOFeZ115ioxbNSalAlu3M2lwSJP77oxSOOFICCGkY1Ag5CSRveXYvnQS/3Xe1RonHk3HooxQ1yEWgTYLJYR0KfTJ5ESRveW4OSIYAHDxWrWTj6bjcDVCtL2Ge/rUWDg9qo8cF9bc6eSjIYSQ9kWfTE42oKehi2/aia5bME3F0u5t6ogw5K+diR+WTKLNigkhXQ59MjkZ15NlR04xSsx6t7iiUrUG7+06i8panUPfR1NjhBBCXBV9MjnZ9BtMhaeLtx5x4pE0jzGGFd9mY9ya3Xhv1zms/eW0Q9+vpYwQIYQQF0WfTE42vJdpR9ysSxXQ65kTj8a6E0VqfG/sIQMAPxq3XLBXjXFFHNUIEUIIcTX0yeQC9j9/O3/7ckWdE4/EunNlVYKva3WN+GTfBcF9mvpGPP1tNr7cn9/k+z9LzwMAhAf7ddgxEkIIIa1BgZALUHaXoXd3w5Lk0yVqJx9NU7/klAAAJg7qwd+35ufTiHh+B1b/eAI12gbsOlWKlKNX8OqPJ1ClqefHFatMgZ359xNCCCGugAIhF/PY11kor9Y6+zAEuGaPY/sFY/Oj4wSPfbE/H0u2HsGSrUf5+45fVvG395y+CgAI8PXGoNCATjhaQgghxH4UCLmIv06M4G9Pe3cf1v5yGlcqXWOa7HyZocfR5KE9MWlwiKARJADsOXNV8PXZUtNUWp6xP9JwRSAIIYQQV0OBkItImBCBUeHdAQDXa3T4eO8FxH920LkHBeDP89dQVmXIUA00bsAZ2duwIefMqF5Wv+e1n05ip3Ej2W8OFQIA5o5RdsLREkIIIY6hQMhFeHuJsW3RBMF9F6/W8AGFsyz9xjDlFRogRaCvj+CxD+bfKPj6rbsj+dsLvzqMmMTd/LTakDCaFiOEEOJ6KBByISKRCFOGhQruW/jVYaTmljjleFS19bheY2ie+NyMYVbHnHp9Br59bDzOv3UHZo8SZn2KzRpEjuhFU2OEEEJcDwVCLmbTQ2Px6uwRWHffSP6+p7/N7tRjuF6jw81v7cKEtbv5++6N7mN1rEzihXEDesDbS4xAXx98+9j4JmO8xCL4S7077HgJIYSQ1qJPJxcjFovw14n9AQBRveW44/0/UFffiDK1BqGBvp1yDOvTzvB1QYChfsle4wb0wNCwAJwxFkxPGNgDd43u3d6HSAghhLQLCoRc2PBegQj09YZa04DvjlzBk5MHdsrP3XfWsAosZkAPrLtvJPoEyRz6/s//ehN+OlaEhydEwNfHqyMOkRBCCGkXNDXm4riVZP9IPY164+alHalKU893t35l9giEB/s5vOO4srsMj8cOpCCIEEKIy6NAyMW9OHM4f3vFf44JHiuv1qKxHfcmO5x/HVGr0wAAYhEwlFZ6EUII6eIoEHJxwxSBGG3MCv10rAif/nERAPDerrOIfnMXolb/Cl1D2zJFjXqGV37IxX0fH+Dvu2t0b4jFjmWCCCGEEHdDgZAb2PI307YWb+44hTK1Bu/tOgfAsAHqkJd+wXdZl3GiSNXcU9h0OP86vjpwSXDfOw+Mav0BE0IIIW6CAiE34C/1xsEXpvBf37xmd5MxK/97DDP/mQ7GHJsq0+sZNh8sENz3x7O3OVwXRAghhLgjhwOhffv2Yfbs2VAqlRCJRNi2bZvgccYYVq9eDaVSCZlMhsmTJ+PEiROCMVqtFkuXLkVISAj8/f0xZ84cXL58WTCmoqIC8fHxkMvlkMvliI+PR2VlpWBMQUEBZs+eDX9/f4SEhGDZsmXQ6XSCMTk5OYiNjYVMJkPv3r3x+uuvOxwsuIKwQF/839hwwX0PjG3a2yfnSvNZoWvVWlTW6lCna+Tv+/FYEX46VsR/7esjRniwXzscMSGEEOL6HA6EampqMGrUKGzcuNHq4+vWrUNSUhI2btyIzMxMKBQKTJs2DVVVpo04ly9fjpSUFCQnJyM9PR3V1dWYNWsWGhtNH9Dz5s1DdnY2UlNTkZqaiuzsbMTHx/OPNzY2YubMmaipqUF6ejqSk5Px3XffYeXKlfwYtVqNadOmQalUIjMzExs2bMD69euRlJTk6K/tEpZPG4xx/YMxqo8c/04Yi3X3jUL+2pmYP64vP2bOxj+tbtb65vaTGPvmLox+fSeGv5KKLQcvoaFRj/Tz1/gxQ8MCsOeZyZ3xqxBCCCGugbUBAJaSksJ/rdfrmUKhYGvXruXv02g0TC6Xs48//pgxxlhlZSXz8fFhycnJ/JgrV64wsVjMUlNTGWOMnTx5kgFgGRkZ/JgDBw4wAOz06dOMMcZ+/vlnJhaL2ZUrV/gx33zzDZNKpUylUjHGGPvwww+ZXC5nGo2GH5OYmMiUSiXT6/V2/Y4qlYoB4J/TVS3eksX6Pbed9XtuO1v7yymm1+vZNwcvsX1ny5her2eT397DP879++vnh9gDH+/nv864cM3ZvwYhhBDSLuz9/G7XGqG8vDyUlJQgLi6Ov08qlSI2Nhb79+8HAGRlZaG+vl4wRqlUIjIykh9z4MAByOVyjBtnKhIeP3485HK5YExkZCSUStP+VtOnT4dWq0VWVhY/JjY2FlKpVDCmqKgI+fn5Vn8HrVYLtVot+OcOFk0exN/+6PcL6L/qZzz/fQ7iPzuE/qt+Rt61GgBAvx6maa/fTpfhYN51AMDzdwzDuAE9OvegCSGEECdr10CopMSwOWhYWJjg/rCwMP6xkpISSCQSBAUF2RwTGircfBQAQkNDBWMsf05QUBAkEonNMdzX3BhLiYmJfF2SXC5HeHi41XGuZoQyEL88dUuL43Y+HWu1tuivEyM64KgIIYQQ19Yhq8YsVxwxxlpchWQ5xtr49hjDjIXSzR3PqlWroFKp+H+FhYU2j9uVDO8ViE8fGtvk/t7dZejdXYbU5bdA4i3GuvuES+NfmjkcUm/qAk0IIcTztOteYwqFAoAh29KrVy/+/rKyMj4To1AooNPpUFFRIcgKlZWVYcKECfyY0tLSJs9/9epVwfMcPHhQ8HhFRQXq6+sFYywzP2VlZQCaZq04UqlUMJXmbqaOCEP+2pn4194LKFZp8NLM4fD2ahrvLr5tID7YcwEAEB/Tr7MPkxBCCHEJ7ZoR6t+/PxQKBXbu3Mnfp9PpsHfvXj7IiY6Oho+Pj2BMcXExcnNz+TExMTFQqVQ4dOgQP+bgwYNQqVSCMbm5uSguLubHpKWlQSqVIjo6mh+zb98+wZL6tLQ0KJVKREREtOev7nIejx2I1XNusBoEAcBjtwzEPWN645uF4ykbRAghxHM5WoVdVVXFjh49yo4ePcoAsKSkJHb06FF26dIlxhhja9euZXK5nH3//fcsJyeHPfjgg6xXr15MrVbzz/HEE0+wPn36sF27drEjR46w22+/nY0aNYo1NDTwY2bMmMFGjhzJDhw4wA4cOMCioqLYrFmz+McbGhpYZGQkmzJlCjty5AjbtWsX69OnD1uyZAk/prKykoWFhbEHH3yQ5eTksO+//54FBgay9evX2/37usuqMUIIIYSY2Pv57XAgtGfPHgagyb+HH36YMWZYQv/qq68yhULBpFIpu/XWW1lOTo7gOerq6tiSJUtYcHAwk8lkbNasWaygoEAwpry8nM2fP58FBASwgIAANn/+fFZRUSEYc+nSJTZz5kwmk8lYcHAwW7JkiWCpPGOMHT9+nN1yyy1MKpUyhULBVq9ebffSecYoECKEEELckb2f3yLG3LDNcidSq9WQy+VQqVQIDAx09uEQQgghxA72fn7TXmOEEEII8VgUCBFCCCHEY1EgRAghhBCPRYEQIYQQQjwWBUKEEEII8VgUCBFCCCHEY1EgRAghhBCPRYEQIYQQQjwWBUKEEEII8VgUCBFCCCHEY3k7+wBcHbcDiVqtdvKREEIIIcRe3Od2SzuJUSDUgqqqKgBAeHi4k4+EEEIIIY6qqqqCXC5v9nHadLUFer0eRUVFCAgIgEgkcvbhdDi1Wo3w8HAUFhbSJrN2oPNlHzpP9qNzZT86V47xtPPFGENVVRWUSiXE4uYrgSgj1AKxWIw+ffo4+zA6XWBgoEe8UNoLnS/70HmyH50r+9G5cownnS9bmSAOFUsTQgghxGNRIEQIIYQQj0WBEBGQSqV49dVXIZVKnX0oboHOl33oPNmPzpX96Fw5hs6XdVQsTQghhBCPRRkhQgghhHgsCoQIIYQQ4rEoECKEEEKIx6JAiBBCCCEeiwIhQgghhHgsCoQIIaQTaTQaZx+C2zh8+DCdL9LhKBDyINevX8e1a9cAGPZQI82jc2Wfy5cvY+vWrThw4AAqKyudfTguLS8vD6NGjcKaNWucfSgu7+LFi5g7dy5uvvlm/Oc//3H24bi8wsJC/PTTT8jJyUFjYyOAlndcJyYUCHmIF198EcOGDcMnn3wCADY3oPN0dK5axhjDU089hREjRuCTTz7BtGnTsGLFChQXFzv70FwOYwxPPPEEhgwZgiFDhmDZsmXOPiSXxRjDokWLMHjwYIhEIsjlcnTr1s3Zh+XSnnnmGQwbNgzvv/8+Jk2ahKVLl+LixYsQiUQUDNmJ3uG7uMrKSjz66KPYtWsX+vbti4yMDGRmZgKgKwZLdK7sk5+fj9tvvx1ZWVlIS0vDr7/+infffReZmZk4efKksw/PpZw/fx49evRAeno6Dh06hP/+978ICQlx9mG5pG3btsHf3x9ZWVnYv38/tm3bhuHDh+OXX34BQK9Ba/79739j//79+PXXX5GamopPP/0Uubm5eOSRRwAAIpHIyUfoHigQ6uJkMhn69euHVatW4Z133sGVK1eQkpKC+vp6umKA8M2VzlXzzH/3hoYG3HXXXfjss88wfvx4SKVS3HXXXfDy8sLgwYOdeJSuwfxc+fj4QKlUYtKkSRgzZgz279+PlStXYs2aNUhNTUVVVZUTj9T5zM/V1atXsXnzZhw8eBDjxo1DXV0dBg4ciOvXr6O2tpY+1GE6X9x/v/vuOwwcOBCTJk2Ct7c37r//fowePRr79u3Dp59+KhhLmkdbbHQxjDGIRCI0NjbCy8sLAKBSqSCXywEY0qgZGRl44YUXcOedd/LjPVFdXR3EYjG/7w5jDGq1ms6VBcvzpNFooNFo0L17dwBAaWkpFixYgKKiIsTExGD27NmYO3euE4/YeSzPlV6vx7Zt23DfffchLi4Op0+fxtixY3H+/Hlcu3YNU6ZMwZdffunko3YOa+eKm4bm3r+efvpp/Pbbbzh27JjgcU9keb4qKysxf/58jB49Gm+88QZ/bp599ln8+OOPKC8vR3FxMby9vZ152G7Bc/+quqCkpCS+EJMLggBALpfzBb/Lli0DYwzbtm3DtWvXPDbTsWrVKkyaNAmzZs3CP//5T6jVaohEIgQGBtK5MmPtPPn6+vJB0Llz5xAREQFvb288++yzqKiowLPPPuuRBcHWzpVYLMZtt92G+Ph4VFdX48cff8SWLVuQnZ2NV199FQcPHsRHH33k7EPvdJbnqqqqCmKxmH/tcRccU6dORX5+PgoKCjw6CLI8X5WVlejevTuGDx+OtLQ0vPnmmygvL8ezzz6LL774Aq+++ip8fHz4rBBpASNu79ChQ2zy5MlMJBKxG2+8ke3fv58xxlhjY6NgnF6vZ4wx9t5777Ho6Gj2+eefN3msq9Nqtey+++5jI0aMYMnJyeyhhx5iI0aMYDNnzhSM486dp54re88TY4xlZ2fztxsaGtjKlStZTEwMq62t7cxDdprmztWdd97Jjzl16hTLzMxker2e/9sqLy9ns2bNYo899hhraGhw1uF3Kkf+rhhj7IcffmD9+/dn6enpnXykrqG58zV9+nTGGGNVVVXsqaeeYoMGDWLBwcEsMjKSHTx4kDHG2KRJk1hSUpIzD99tUCDUBbzxxhvsvvvuY59//jmLi4tjf/vb3/jHzD+0udsajYbdeeed7IEHHmDHjx9nmzdvZm+++WanH7cznDx5kg0ePJilpaXx96WnpzOZTMbWrVvHnyPuw8pTz5W958mauXPnspkzZzKdTucRQWNL58oa7rwMGjSIPfnkk51ynK7A0ddfeXk5k0gkbPv27YL7PYWt85WYmMjfV1hYyI4fP85/rdFoWM+ePdkHH3zQqcfrrigQcmPcm8alS5f4LFBiYiIbN24c+89//sMYa/rGwX29bds2NmDAANajRw8mkUjY+vXrO/HInScrK4uJRCJWXl7OGDOdw8TERBYUFMTOnj3Lj/Xkc+XIeTJ34MABduutt7KtW7d22rE6W2vP1S+//MJuuukm9ueff3basTqbo+eqsrKS3XrrrWzlypWdfqyuoKXzdebMGcF47vGvvvqKjRs3jhUVFXXuAbspz5107QK4efS+ffsiJiYGAPDAAw+gV69e2Lp1KyoqKgTz7oChJ86FCxfw/fffIy8vDw888ACuX7+OlStXOuV36GxisRgjRozA1q1bBfevXLkS3bt3x7/+9S8AhmJNTz5X9p4nvV6PkydPYu/evXjyyScRFxeHG2+8Effdd58zDtspHDlXubm52LNnD5544gn85S9/wZQpUzBu3DhnHLZT2HuuGhoaAADdunVDcXExampqUF9f3+nH62wtnS+u11ljYyPKy8uxbds2PP7443jyyScxc+ZMKBQKj6trbA0KhLoQxhgGDBiA2bNno7i4GF988QWApg0B//Wvf/ErMT788EP4+/s74Wido1+/fhg8eDDS09NRXFwMkUiEhoYG+Pj4YMmSJfjmm2+g1+v5YnNPPVf2niexWIzjx4/j7bffxsWLF5Geno53330XPj4+zv4VOo0j5+rIkSN44403cPbsWezduxeJiYmChQ1dnb3nytvbm1859vLLL+Ppp5/2qL8pjiPvV3q9Hvv378fFixfx559/4uWXX4ZIJPLIla6OokDIxZ04cQLPPvsszp492+Qx7qqJw7VWv++++zBixAhs374d586dAwAcOXKEH7d27VoUFhYiKiqqA4+88509exZPPPEE/vjjjyaPcecqKCgIs2fPxunTp/nW/dzyUrlcjqCgIBQWFvJZtK54rtrrPF26dAkAMHfuXGzcuBG//vorRo4c2Um/Redo73N17733YtOmTfjtt98watSoTvotOkd7vv4A08rX+Ph4DBkypDN+hU7VXueroKAAANCzZ0+88sor2LlzZ5f72+poFAi5KJ1Oh7/+9a+IioqCRqNBREQE/xiX6vT29kZ9fT3fh8Tb2xt6vR6BgYG4//77odfr8dprr2HKlCkYO3YsKioqAHS9LSP0ej2efvppjB49GjU1NYImdVxA4+3tDY1Gg+TkZDzyyCMYPXo0vv32W+zZs4cfe/nyZfTs2RP9+vXjz1FXOlftfZ769+8PwNCI0vzvsyvoqHPl7++PgQMHdu4v08E64vXXlbX3+TJ/7QUEBHTa79GlOLlGiVjx2WefsYCAADZhwgTBSgDGhKvA3n//fRYcHMzuvfdedv36dcG4S5cusYEDBzKRSMT+8pe/sJKSkk45dmfYvn07mzhxIvv999+bHcOdq7lz5zLGGDt27BibP38+k0gk7Mknn2SPPfYYCwgIYB999BFjrGsukafzZD86V/ajc+UYOl+uhwIhFzRhwgQ2fPhwVlFRwRgzrBz4+eef2ZkzZ1hdXR1jjLENGzawiIgItmXLliYvgt27d7Nu3bqx0aNHs8OHD3f24Xe6u+66iy1evJgxxtjvv//OXnrpJfb555+zS5cuMcYY27RpE+vbty/bsmWLYBWdXq9na9asYQsXLmR33nlnl1+9Q+fJfnSu7EfnyjF0vlwPBUIupL6+njHG2P79+9mAAQPYa6+9xubMmcMGDBjAbrjhBhYWFsbuv/9+fmx1dbXV57l27ZrHLF9Wq9Vs0qRJ7Pvvv2dvvvkmUygUbO7cuSw8PJxFRETw/TdqamoE3+dpV1B0nuxH58p+dK4cQ+fLNXWdAgg39fPPPwMw1P14e3uDMYaYmBhMnjwZiYmJCA4Oxvfff49vvvkGn376KX766Se89tpr8Pb2trqCiTGGHj164MEHH+zsX6XDmZ8rTkBAABoaGvDpp5/izJkz+P777/G///0Ply5dwpAhQ/DBBx/g1KlT8PPzEzxXV15JQefJfnSu7EfnyjF0vtyI82Iwz7Z9+3bWu3dvJhKJ+BSnXq/nW+1fvXqVvfTSS+zKlSuC73vnnXdYjx49mE6n6/RjdpbmzhV3lfTvf/+biUQiNmTIEFZWVsZ/3x9//MF69erFN5vs6ug82Y/Olf3oXDmGzpf7oYyQE6Snp2Pjxo24++67MWPGDDz11FMADFG/l5cXGGMICQnBqlWroFQqBd+rVCqh1+tx5swZZxx6p7N1rrirpPHjxyM2NpbvPcKJjo6GWq3GlStXnHLsnYnOk/3oXNmPzpVj6Hy5KWdHYp6EuyI4e/YsS0pKYhcvXmSHDx9mfn5+7NNPP2WMtbyXzpNPPsnuueeeDj9WZ7PnXHHZs4aGBrZt2zYmlUrZq6++yi5fvswYY+zbb79lMTExrLS01Dm/RCeg82Q/Olf2o3PlGDpf7o0CoU6QlZXFKisrBfdxL4r6+nq2cuVK1rNnT6bRaKx+f15eHjt//jx79NFHWd++fdm2bdsYY12zgM7Rc2UeOP7zn/9kSqWSDR06lN19993M39+fvfXWW5138J2IzpP96FzZj86VY+h8dQ0UCHWg//3vf6xPnz5s4MCBrG/fvuyVV15hxcXFjDHhnPHFixdZeHg4v7GgeYBz+vRptnjxYhYaGsomT57cZJO9rqK158oyg5aRkcE+/PBDtmrVqi55rug82Y/Olf3oXDmGzlfXQoFQB8nMzGTDhg1j7733Hjt27Bj78MMPWc+ePdmTTz7J7yTMXTno9Xr24YcfMm9vb3bx4kXGGGMajYZptVrW0NDAfv31V7Zv3z6n/S4dra3nSqvVMrVa7bTj7yx0nuxH58p+dK4cQ+er66FAqJ1xVwIfffQR69OnD1OpVPxjGzduZOPHj2dvvPFGk+8rLy9nEyZMYHPnzmVZWVls2rRp7Ouvv+6S01+c9jpXcXFxXfpc0XmyH50r+9G5cgydr66LVo21M25lQF5eHoYMGcJvkAcACQkJiI6Oxi+//IITJ04AMG2UGhwcjIULF+LHH3/ETTfdBKlUinvuuadL949or3MlkUhw7733dtlzRefJfnSu7EfnyjF0vrowZ0di7i4tLY0tXbqUvffee+zgwYP8/T/88APz9fVlFy5cYIyZUqVpaWls4sSJLCkpiR+r1WrZBx98wMRiMYuNjWW5ubmd+0t0EjpX9qHzZD86V/ajc+UYOl+egwKhVioqKmKzZs1ioaGhbP78+SwqKorJ5XL+BVNXV8eGDRvGHnvsMcaYsEjulltuYYsWLeK/LikpYU899RT78ssvO/eX6CR0ruxD58l+dK7sR+fKMXS+PA8FQq1QU1PDHn74YfZ///d/fAEcY4zddNNNLCEhgTFmuEr46quvmFgsbrI53vz589ltt93WqcfsLHSu7EPnyX50ruxH58oxdL48E9UItYKfnx+kUikSEhLQv39/NDQ0AABmzZqFU6dOAQC8vLzwwAMPYO7cufjb3/6GvXv3gjGGkpISnDt3DvPnz3fmr9Bp6FzZh86T/ehc2Y/OlWPofHkmEWNmO8IRu9XX18PHxweAYVM9kUiE+Ph4yGQyfPLJJ/x9Go0Gd9xxB06ePInRo0cjNzcXffv2xX/+8x+Eh4c7+bfoHHSu7EPnyX50ruxH58oxdL48DwVC7ejWW2/FI488goSEBDDGoNfr4eXlhdLSUhw/fhyZmZmIiIjAvHnznH2oTkfnyj50nuxH58p+dK4cQ+era6NAqJ1cvHgREyZMwI4dOxAdHQ0A0Ol0kEgkTj4y10Pnyj50nuxH58p+dK4cQ+er66MaoTbi4sj09HR069aNf6G89tpreOqpp1BWVubMw3MpdK7sQ+fJfnSu7EfnyjF0vjyHd8tDiC1cU6xDhw7h3nvvxc6dO/HYY4+htrYWX3/9NUJDQ518hK6DzpV96DzZj86V/ehcOYbOlwfp2EVpnqGuro4NGjSIiUQiJpVK2dq1a519SC6LzpV96DzZj86V/ehcOYbOl2egGqF2Mm3aNAwePBhJSUnw9fV19uG4NDpX9qHzZD86V/ajc+UYOl9dHwVC7aSxsRFeXl7OPgy3QOfKPnSe7Efnyn50rhxD56vro0CIEEIIIR6LVo0RQgghxGNRIEQIIYQQj0WBECGEEEI8FgVChBBCCPFYFAgRQgghxGNRIEQIIYQQj0WBECHEZU2ePBnLly/3uJ9NCOk8FAgRQrqE33//HSKRCJWVle3yfd9//z3eeOON9jtAQohLok1XCSHEiuDgYGcfAiGkE1BGiBDiEmpqavDQQw+hW7du6NWrF9555x3B45s3b8bYsWMREBAAhUKBefPmoaysDACQn5+P2267DQAQFBQEkUiEhIQEAABjDOvWrcOAAQMgk8kwatQo/O9//2vx+yynxiIiIvDmm2/yx9ivXz/88MMPuHr1KubOnYtu3bohKioKhw8fFhz3/v37ceutt0ImkyE8PBzLli1DTU1Ne58+QkgrUSBECHEJf//737Fnzx6kpKQgLS0Nv//+O7KysvjHdTod3njjDRw7dgzbtm1DXl4eH7SEh4fju+++AwCcOXMGxcXFeP/99wEAL730Ej7//HN89NFHOHHiBJ5++mksWLAAe/futfl91rz77ruYOHEijh49ipkzZyI+Ph4PPfQQFixYgCNHjmDQoEF46KGHwO1clJOTg+nTp+Oee+7B8ePH8e233yI9PR1LlizpiFNICGkN5218TwghBlVVVUwikbDk5GT+vvLyciaTydhTTz1l9XsOHTrEALCqqirGGGN79uxhAFhFRQU/prq6mvn6+rL9+/cLvvfRRx9lDz74YLPfxxhjsbGxgp/dr18/tmDBAv7r4uJiBoC9/PLL/H0HDhxgAFhxcTFjjLH4+Hj22GOPCZ73jz/+YGKxmNXV1dk+KYSQTkE1QoQQp7tw4QJ0Oh1iYmL4+4KDgzF06FD+66NHj2L16tXIzs7G9evXodfrAQAFBQUYMWKE1ec9efIkNBoNpk2bJrhfp9NhzJgxDh/nyJEj+dthYWEAgKioqCb3lZWVQaFQICsrC+fPn8eWLVv4MYwx6PV65OXlYfjw4Q4fAyGkfVEgRAhxOmacSmpOTU0N4uLiEBcXh82bN6Nnz54oKCjA9OnTodPpmv0+LljasWMHevfuLXhMKpU6fJw+Pj78bZFI1Ox93M/V6/V4/PHHsWzZsibP1bdvX4d/PiGk/VEgRAhxukGDBsHHxwcZGRl8gFBRUYGzZ88iNjYWp0+fxrVr17B27VqEh4cDQJOiZIlEAgBobGzk7xsxYgSkUikKCgoQGxtr9Wdb+772cuONN+LEiRMYNGhQuz83IaR9ULE0IcTpunXrhkcffRR///vfsXv3buTm5iIhIQFiseEtqm/fvpBIJNiwYQMuXryIH3/8sUmPn379+kEkEmH79u24evUqqqurERAQgGeeeQZPP/00vvzyS1y4cAFHjx7FBx98gC+//LLZ72svzz33HA4cOIDFixcjOzsb586dw48//oilS5e2288ghLQNBUKEEJfw9ttv49Zbb8WcOXMwdepUTJo0CdHR0QCAnj174osvvsB///tfjBgxAmvXrsX69esF39+7d2+89tpreP755xEWFsavzHrjjTfwyiuvIDExEcOHD8f06dPx008/oX///ja/rz2MHDkSe/fuxblz53DLLbdgzJgxePnll9GrV692+xmEkLYRsZYm5wkhhBBCuijKCBFCCCHEY1EgRAghhBCPRYEQIYQQQjwWBUKEEEII8VgUCBFCCCHEY1EgRAghhBCPRYEQIYQQQjwWBUKEEEII8VgUCBFCCCHEY1EgRAghhBCPRYEQIYQQQjzW/wOoOYi0I2ikGQAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data[\"00060\"].plot()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## More figure customization\n", "\n", "### Adjusting figure layout\n", "\n", "That was easy, but it isn't so pretty with overlapping figure axes and labels, right?\n", "\n", "Overlapping figures can be dealt with using the `fig.tight_layout` method, which automatically adjusts the positions of the axes on the figure canvas so that there is no overlapping content:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(nrows=1, ncols=2)\n", "\n", "for ax in axes:\n", " ax.plot(x, y, \"r\")\n", " ax.set_xlabel(\"x\")\n", " ax.set_ylabel(\"y\")\n", " ax.set_title(\"title\")\n", "\n", "fig.tight_layout();" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Figure size, aspect ratio and DPI" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`matplotlib` allows the aspect ratio, DPI and figure size to be specified when the `Figure` object is created, using the `figsize` and `dpi` keyword arguments. `figsize` is a tuple of the width and height of the figure in inches, and `dpi` is the dots-per-inch (pixel per inch). To create an 800x400 pixel, 100 dots-per-inch figure, we can do: " ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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etdcMHizNm2etiBcUSHFxDjQLIBIQuAEAABCaDMM897rvivjx4/aawYOl+fOtCfbChQRsAEFD4AYAAEBoMAxp714rYLvd0okT9pohQ6QFC6yAvWCBFBvrRLcAQOAGAADAAGUY0p499hXx1lZ7TUyMObX2rYjPny8NG+ZAswDgj8ANAACAgcHrlXbvtp+DfeqUvWboUDNg+ybY8+eb1wBgACJwAwAAwBler/TJJ9aKeFWVdPq0vWbYMPPFZr6APW+eOdUGgBBA4AYAAEBweL3Szp32CXZbm70mNtY8+9q3Ip6fbz6XDQAhiMANAACAwOjtlXbssE+wz56118TFmQHbN8HOyyNgAwgbjgfuo0eP6umnn9bHH3+sCxcuaOrUqXrjjTeUm5vrdGsAAAC4Eb290vbt1kvOqqulc+fsNcOHS0VFVsDOzTWP7gKAMORo4D579qwKCwt1xx136OOPP1ZycrI+++wzjRgxwsm2AAAAcD16eqRt26wV8epqqb3dXhMfLxUXWyviOTnSIMdnPgAQFI7+2+7ll19Wenq63nzzzcvXMjIynGsIAAAAV9fTIzU1WSvi1dVSR4e9JiHBDNhlZeYnO5uADSBiOfpvv/Xr1+uuu+7SfffdJ7fbrXHjxuknP/mJfvjDH16xvru7W93d3Ze/9ng8wWoVAAAg8ly6ZAZs34p4TY3U2WmvSUyUSkqsFfHsbCk6Ovi9AsAA5GjgPnjwoNasWaPy8nI9++yz2rJlix5//HHFxMTo+9//vl99RUWFVq5c6UCnAAAAEeDSJamx0VoRr6mRzp+314wcaQZs34r4nDkEbAC4CpdhGIZTv/mQIUOUl5en2tray9cef/xxNTQ0qK6uzq/+ShPu9PR0tbe3KyEhISg9AwAAhI2LF6WGBmtFfNMmqavLXjNqlH2CPWeOFBXlRLcAMCB4PB4lJiZeVw51dMKdmpqqmTNn2q7NmDFDv//9769YHxMTo5iYmGC0BgAAEH66u6UtW6yAXVsrXbhgrxk92ppel5ZKWVkEbAC4SY4G7sLCQu3bt892bf/+/Zo4caJDHQEAAISR7m6pvt5aEa+tlb780l6TlGSF67IyaeZMAjYA9BNHA/eTTz6pgoICvfTSS/re976nLVu2aO3atVq7dq2TbQEAAISmL7+UNm+2JtibN/sH7ORkK1yXlUkzZkgulwPNAkD4c/QZbkn66KOPtGLFCh04cECZmZkqLy+/6lvKv+pGducBAADCzoULUl2dFbDr682pdl8pKVa4Li2Vpk8nYAPALbiRHOp44L4VBG4AABBRurrMgO1bEa+vN1981ldqqn1FfOpUAjYA9KOQeWkaAAAAruH8efO5a98Ee8sW8+iuvsaNs6+IT55MwAaAAYLADQAAMFB0dpoBu7LS/DQ0SD099prx4+0r4rfdRsAGgAGKwA0AAOCUjg7z7Gvfinhjo3/AnjDBviKemUnABoAQQeAGAAAIFo9HqqmxVsS3bpV6e+01GRn2FfGMjKC3CQDoHwRuAACAQGlvNwO2b0W8qUnyeu01kyZZAbu0VJo40YFGAQCBQOAGAADoL+fOSdXV1op4c7N/wL7tNitcl5aaK+MAgLBE4AYAALhZbW1mwPatiG/bJn31xNUpU+wT7PHjHWgUAOAEAjcAAMD1OnPGmmBXVko7dvgH7GnT7AE7Lc2BRgEAAwGBGwAA4GpOn5aqqqwV8R07/GumT7eviKemBrtLAMAAReAGAADwaW01A7ZvRfyTT/xrZs60AnZJiTR2bLC7BACECAI3AACIXCdPWhPsykpp927/mqwsa0W8pERKTg5ykwCAUEXgBgAAkePECWt67XZLe/b418yebZ9gjxkT7C4BAGGCwA0AAMLXsWNmsPaF7H377PddLmnOHCtgFxdLSUlOdAoACEMEbgAAED6OHrWm15WV0oED9vsul5Sdba2IFxdLo0YFv08AQEQgcAMAgNDV0mJfEf/0U/v9qCgzYJeVmZ+iImnkyOD3CQCISARuAAAQOo4csU+wDx6034+KknJyrAl2UZE0YkTw+wQAQARuAAAwkB06ZA/Yhw7Z70dHmwHbN8EuLJQSE4PdJQAAV0TgBgAAA4NhWAHbF7IPH7bXREdLeXnWS84KC6WEhOD3CgDAdSBwAwAAZxiGuRLed4Ld0mKvGTRIys+3VsQLCqT4eAeaBQDgxhG4AQBAcBiG+VKzvgH76FF7zeDBZsD2rYgXFEhxccHvFQCAfkDgBgAAgWEY5rFcfVfEjx2z1wweLM2fb62IL1xIwAYAhA0CNwAA6B+GIe3bZ59gnzhhrxkyRFqwwFoRX7BAio11oFkAAAKPwA0AAG6OYUh79tjPwT550l4TE2OGat8Ee8ECadgwJ7oFACDoCNwAAOD6GIa0e7e1Il5VJbW22muGDjXXwn0Be/588xoAABGIwA0AAK7M65V27bKm1263dPq0vWbYMPPFZr4V8XnzzKk2AAAgcAMAgL/weqWdO60V8aoq6cwZe01srBmwfRPs/HwCNgAAV3HDgXvp0qV65JFHVFJSEoh+AABAsHi90o4d1op4dbXU1maviY2VioqsCXZenvniMwAA8LVuOHB3dHRo8eLFSk9P18MPP6wlS5Zo3LhxgegNAAD0p95eaft2a0W8qko6d85eExdnBmzfOdi5uebRXQAA4Ia5DMMwbvSbzpw5o3Xr1ul3v/udPvnkE9155536wQ9+oO985zsaHMS/lD0ejxITE9Xe3q6EhISg/b4AAISEnh5p2zZrRby6Wmpvt9cMHy4VF1sr4jk5BGwAAK7hRnLoTQXuvpqbm/Wv//qv+pd/+RcNHz5cDz74oH7yk59oypQpt/LLXhcCNwAAffT0SM3N1gS7ulryeOw1CQlmwPatiM+dKw3ilS4AAFyvG8mht/Q37PHjx7VhwwZt2LBB0dHRuvvuu7Vr1y7NnDlTr7zyip588slb+eUBAMC1XLokNTVZE+yaGqmjw16TmGifYGdnE7ABAAiSG/4b99KlS1q/fr3efPNNbdiwQXPmzNGTTz6pBx54QPHx8ZKkd999V//wD/9A4AYAoD9duiQ1NloBe9MmqbPTXjNihFRSYk2wb79dio52oFkAAHDDgTs1NVVer1f333+/tmzZouzsbL+au+66SyNGjOiH9gAAiGAXL5oB27civmmTdP68vWbkSDNg+15yNns2ARsAgAHihgP3r3/9a913330aOnToVWtGjhypzz///JYaAwAg4nR3Sw0N9gn2hQv2mlGjrOl1aakZsKOinOgWAAB8jRsO3A899FAg+gAAIPJ0d0v19VbArqvzD9hJSWaw9oXsWbMI2AAAhAjemgIAQLB8+aUZsH0r4nV15rW+xoyxwnVZmTRjBgEbAIAQNWACd0VFhZ599lktX75cq1atcrodAABu3YUL0ubN1gR782Zzqt1XcrK1Hl5aKs2cKblcTnQLAAD62YAI3A0NDVq7dq3mzJnjdCsAANy8ri5zau0L2PX15ovP+ho71grYZWXStGkEbAAAwpTjgbuzs1MPPPCAfvvb3+qFF15wuh0AAK7f+fNmwPatiNfXm0d39ZWaaq2Hl5VJU6YQsAEAiBCOB+5ly5bpnnvu0Z133vm1gbu7u1vdfVbxPB5PoNsDAMDS2SnV1loT7IYG/4A9bpx9gj15MgEbAIAI5Wjgfvfdd9XU1KSGhobrqq+oqNDKlSsD3BUAAH/R2WkezVVZaX4aG6WeHntNero9YE+aRMAGAACSHAzcLS0tWr58uTZs2HDNM737WrFihcrLyy9/7fF4lJ6eHqgWAQCRxuOxArbbbQbs3l57zYQJ9hXxjAwCNgAAuCKXYRiGE7/xf/3Xf+mv//qvFR0dfflab2+vXC6XoqKi1N3dbbt3JR6PR4mJiWpvb1dCQkKgWwYAhJv2dqmmxloRb2ryD9gZGfYJdkZG0NsEAAADx43kUMcm3IsWLdLOnTtt1x5++GFNnz5dTz/99NeGbQAAbti5c2bA9k2wm5okr9deM2mS/ZiuiRMdaBQAAIQDxwJ3fHy8srKybNfi4uI0evRov+sAANyUs2el6mprgt3cLH11sWvyZGt6XVpqPpMNAADQDxx/SzkAAP2mrU2qqrIC9vbt/gF7yhT7BHv8eCc6BQAAEWBABe7KykqnWwAAhJIzZ8yA7VsR37HDP2BPm2YP2GlpTnQKAAAi0IAK3AAAXNOpU/YJ9lfeBSJJmjHDWhEvKZFSU4PdJQAAgCQCNwBgIGttNcO1L2Dv2uVfM3OmdURXSYmUkhLkJgEAAK6MwA0AGDhOnrTCtdst7d7tX5OVZa2Il5RIycnB7hIAAOC6ELgBAM45ftw+wd67179mzhz7inhSUrC7BAAAuCkEbgBA8Bw9ag/Y+/fb77tcZsD2rYgXF0ujRzvQKAAAwK0jcAMAAueLL+wr4gcO2O+7XFJ2trUiXlwsjRrlQKMAAAD9j8ANAOg/LS1WuK6slD77zH4/KkqaO9daES8qkkaOdKBRAACAwCNwAwBu3uHDVriurJQ+/9x+PypKysmxVsSLiqTExOD3CQAA4AACNwDg+h06ZIVrt9v8uq/oaCk315pgFxYSsAEAQMQicAMArswwzIl13xXxI0fsNdHRUn6+PWDHxzvQLAAAwMBD4AYAmAzDfOa674r4F1/YawYNMgO2b0W8oEAaPjz4vQIAAIQAAjcARCrDkD791L4ifvSovWbwYGnePOst4gUFUlycA80CAACEHgI3AEQKwzDPve67In78uL1m8GBpwQJrRXzhQik21oFmAQAAQh+BGwDClWFIe/faz8E+ccJeM2SIGbB9E+wFCwjYAAAA/YTADQDhwjCkPXvsE+zWVntNTIw5tfYF7PnzpWHDHGgWAAAg/BG4ASBUeb3S7t1WwHa7pVOn7DVDh5rPXftWxOfNM68BAAAg4AjcABAqvF7pk0/sK+Jnzthrhg0zA7Zvgj1vnjnVBgAAQNARuAFgoPJ6pZ07rbeIV1VJbW32mthY8+xrX8DOzzefywYAAIDjCNwAMFD09ko7dljT66oq6exZe01cnFRUZK2I5+YSsAEAAAYoAjcAOKW3V9q2zVoRr6qS2tvtNcOHmwHbN8HOzTWP7gIAAMCAR+AGgGDp6TEDtm9FvLpa8njsNfHxUnGxFbBzcqRB/KsaAAAgFPFfcQAQKD09UlOTtSJeXS11dNhrEhKkkhJrRTw7m4ANAAAQJvivOgDoL5cuSVu3WiviNTVSZ6e9JjHRDNi+CXZ2thQd7UCzAAAACDQCNwDcrEuXpMZGa0V80ybp/Hl7zciR9gn2nDkEbAAAgAhB4AaA63XxotTQYK2Ib9okdXXZa0aNsibYZWXS7NlSVJQDzQIAAMBpBG4AuJrubmnLFmtFvLZWunDBXjN6tDW9Li2VsrII2AAAAJBE4AYAy5dfSvX1VsCuqzOv9ZWUZIXrsjJp5kwCNgAAAK6IwA0gcn35pbR5s7UiXldnTrX7Sk62wnVZmTRjhuRyOdAsAAAAQg2BG0DkuHDBDNW+CXZ9vX/ATkmxT7CnTydgAwAA4KYQuAGEr64u87lrX8DessV88Vlfqan2gD11KgEbAAAA/YLADSB8nD9vBmzfiviWLebRXX2lpVnr4WVl0uTJBGwAAAAEBIEbQOjq7DSP5vJNsBsapJ4ee8348fYJ9m23EbABAAAQFARuAKGjo8MM2JWV5qexUerttdekp0t33GEF7MxMAjYAAAAcQeAGMHB5PFJNjbUivnWrf8DOyLCfg52RQcAGAADAgEDgBjBwtLdL1dXWinhTk+T12msyM61w7QvYAAAAwABE4AbgnHPnzIDtWxHfts0/YN92m32CPWFC0NsEAAAAboajgbuiokLvv/++9u7dq2HDhqmgoEAvv/yypk2b5mRbAAKlrc0K2G63GbANw14zZYo9YI8f70CjAAAAwK1zNHC73W4tW7ZM+fn56unp0U9/+lMtXrxYu3fvVlxcnJOtAegPZ85IVVXWiviOHf4Be+pU+4r4uHFOdAoAAAD0O5dhfPW/fp1z6tQpJScny+12q6Sk5GvrPR6PEhMT1d7eroSEhCB0COCaTp82A7ZvRXznTv+a6dPtE+zU1CA3CQAAANy8G8mhA+oZ7vb2dknSqFGjrni/u7tb3d3dl7/2eDxB6QvAVbS2WgHb7ZY++cS/ZsYMM1yXlUklJdLYsUFuEgAAAHDGgAnchmGovLxcRUVFysrKumJNRUWFVq5cGeTOAFx28qQZrH0r4rt3+9fMmmVNr0tKpJSUYHcJAAAADAgDZqV82bJl+p//+R/V1NRo/FVeknSlCXd6ejor5UCgnDhhhevKSmnvXv+a2bOtFfGSEmnMmCA3CQAAAARPyK2UP/bYY1q/fr2qqqquGrYlKSYmRjExMUHsDIgwx45ZAdvtlvbt86+ZM8daES8ulpKSgtwkAAAAEBocDdyGYeixxx7TBx98oMrKSmVmZjrZDhB5jh61wnVlpXTggP2+yyXdfru1Il5cLI0e7UCjAAAAQOhxNHAvW7ZM77zzjj788EPFx8frxIkTkqTExEQNGzbMydaA8NTSYp9gf/qp/b7LJc2da62IFxdLI0c60SkAAAAQ8hx9htvlcl3x+ptvvqmlS5d+7fdzLBjwNY4csZ6/drulgwft96OizIDtWxEvKpJGjAh6mwAAAECoCJlnuAfI+9qA8HHokH1F/NAh+/2oKCk311oRLyqSEhOD3iYAAAAQCQbES9MA3ATDkD7/3L4ifviwvSY6WsrLs1bECwsltkEAAACAoCBwA6HCMMyV8L4T7JYWe82gQWbA9q2IFxRI8fHB7xUAAAAAgRsYsAzDfKlZ34B99Ki9ZtAgad48a0W8oEAaPtyBZgEAAAB8FYEbGCgMwzyWq+9Lzo4ds9cMHizNn2+tiC9cKMXFOdAsAAAAgK9D4AacYhjSvn32CfZfjsa7bMgQM2D7JtgLF0qxsQ40CwAAAOBGEbiBYDEMac8eK2C73dLJk/aamBhpwQIrYC9YIHEmPQAAABCSCNxAoBiGtHu3fUX81Cl7TUyM+dy1b0V8/nxp6FAHmgUAAADQ3wjcQH/xeqVdu+wT7NOn7TVDh5oB2zfBnjePgA0AAACEKQI3cLO8XmnnTuv566oq6cwZe82wYebZ176AnZ9vTrUBAAAAhD0CN3C9vF5pxw5rRby6Wmprs9fExkpFRdaKeF6e+eIzAAAAABGHwA1cTW+vtH27tSJeVSWdO2eviYszA7Zvgp2XZx7dBQAAACDiEbgBn54eads2a0W8ulpqb7fXDB8uFRdbATsnh4ANAAAA4IoI3IhcPT1Sc7M1wa6uljwee01CghmwfSvic+dKg/jHBgAAAMDXIzkgcly6JDU1WRPsmhqpo8Nek5hon2BnZxOwAQAAANwUkgTC16VLUmOjFbA3bZI6O+01I0ZIJSXWBPv226XoaAeaBQAAABBuCNwIHxcvmgHbtyK+aZN0/ry9ZuRIM2CXlZmf2bMJ2AAAAAACgsCN0NXdLTU02CfYFy7Ya0aPtgJ2aakZsKOinOgWAAAAQIQhcCN0dHdL9fVWwK6r8w/YSUlmsPZ9srII2AAAAAAcQeDGwPXll2bA9q2I19WZ1/oaM8Z6/rqsTJoxg4ANAAAAYEAgcGPguHBB2rzZmmBv3mxOtftKSbECdmmpGbBdLie6BQAAAIBrInDDOV1d5tTaF7Dr680Xn/U1dqwVrsvKpGnTCNgAAAAAQgKBG8Fz/rwZsH0r4vX15tFdfaWl2VfEp0whYAMAAAAISQRuBE5np1Rba02wt2yRenrsNePGWeG6tFSaPJmADQAAACAsELjRfzo7zaO5KivNT2Ojf8BOT7eviE+aRMAGAAAAEJYI3Lh5Ho8VsN1uM2D39tprJkyQ7rjDCtgZGQRsAAAAABGBwI3r194u1dRYAXvrVsnrtddkZtrfIp6R4UCjAAAAAOA8Ajeu7tw5K2BXVkrNzf4Be9IkK1yXlkoTJwa/TwAAAAAYgAjcsJw9K1VXWxPs5mbJMOw1kyfbJ9jp6U50CgAAAAADHoE7krW1SVVV1lvEt2/3D9hTp9oD9rhxTnQKAAAAACGHwB1JzpwxA7ZvRXznTv+APW2afUU8Lc2BRgEAAAAg9BG4w9mpU1bAdrvNgP1VM2bYJ9hjxwa7SwAAAAAISwTucNLaagZr34r4rl3+NTNnmuG6rEwqKZFSUoLcJAAAAABEBgJ3KDtxwh6w9+zxr8nKsqbXJSVScnKwuwQAAACAiETgDiXHj1vh2u2W9u71r5kzx1oRLymRkpKC3SUAAAAAQATuge3oUfsEe/9++32XywzYvhXx4mJp9GgHGgUAAAAAfJXjgXv16tX61a9+pePHj2vWrFlatWqViouLnW7LGV98YU2vKyulTz+133e5pOxsa0W8uFgaNSr4fQIAAAAAvpajgfu9997TE088odWrV6uwsFD//M//rG984xvavXu3JkyY4GRrwXHkiH1F/LPP7PejoqS5c60V8aIiaeRIJzoFAAAAANwgl2F89SDm4Jk/f75ycnK0Zs2ay9dmzJihe++9VxUVFV/7/R6PR4mJiWpvb1dCQkIgW+0fhw9bZ2C73dLnn9vvR0VJOTnWinhRkZSYGPw+AQAAAABXdCM51LEJ98WLF7V161Y988wztuuLFy9WbW3tFb+nu7tb3d3dl7/2eDwB7bHf/OIX0ltvmYG7r+hoKTfXWhEvKpJC4f84AAAAAAB8LccC9+nTp9Xb26uUr5wDnZKSohMnTlzxeyoqKrRy5cpgtNe/Tp82w3Z0tJSfb62IFxZK8fFOdwcAAAAACADHX5rmcrlsXxuG4XfNZ8WKFSovL7/8tcfjUXp6ekD76xc/+pH07W+bAXv4cKe7AQAAAAAEgWOBOykpSdHR0X7T7NbWVr+pt09MTIxiYmKC0V7/mjPH/AAAAAAAIkaUU7/xkCFDlJubq40bN9qub9y4UQUFBQ51BQAAAABA/3B0pby8vFwPPfSQ8vLytHDhQq1du1ZHjhzRj3/8YyfbAgAAAADgljkauP/2b/9WZ86c0S9/+UsdP35cWVlZ+sMf/qCJEyc62RYAAAAAALfM0XO4b1XIncMNAAAAAAhpN5JDHXuGGwAAAACAcEbgBgAAAAAgAAjcAAAAAAAEgKMvTbtVvsfPPR6Pw50AAAAAACKBL39ez+vQQjpwd3R0SJLS09Md7gQAAAAAEEk6OjqUmJh4zZqQfku51+vVsWPHFB8fL5fL5XQ7V+XxeJSenq6Wlhbepo6wx887Igk/74gk/LwjkvDzjmsxDEMdHR1KS0tTVNS1n9IO6Ql3VFSUxo8f73Qb1y0hIYF/YBEx+HlHJOHnHZGEn3dEEn7ecTVfN9n24aVpAAAAAAAEAIEbAAAAAIAAIHAHQUxMjH7xi18oJibG6VaAgOPnHZGEn3dEEn7eEUn4eUd/CemXpgEAAAAAMFAx4QYAAAAAIAAI3AAAAAAABACBGwAAAACAACBwAwAAAAAQAATuIFi9erUyMzM1dOhQ5ebmqrq62umWgH5XUVGh/Px8xcfHKzk5Wffee6/27dvndFtAwFVUVMjlcumJJ55wuhUgYI4ePaoHH3xQo0ePVmxsrLKzs7V161an2wL6XU9Pj372s58pMzNTw4YN06RJk/TLX/5SXq/X6dYQogjcAfbee+/piSee0E9/+lM1NzeruLhY3/jGN3TkyBGnWwP6ldvt1rJly7R582Zt3LhRPT09Wrx4sc6fP+90a0DANDQ0aO3atZozZ47TrQABc/bsWRUWFmrw4MH6+OOPtXv3bv3jP/6jRowY4XRrQL97+eWX9frrr+s3v/mN9uzZo1deeUW/+tWv9NprrzndGkIUx4IF2Pz585WTk6M1a9ZcvjZjxgzde++9qqiocLAzILBOnTql5ORkud1ulZSUON0O0O86OzuVk5Oj1atX64UXXlB2drZWrVrldFtAv3vmmWe0adMmNvQQEb75zW8qJSVFb7zxxuVrf/M3f6PY2Fi9/fbbDnaGUMWEO4AuXryorVu3avHixbbrixcvVm1trUNdAcHR3t4uSRo1apTDnQCBsWzZMt1zzz268847nW4FCKj169crLy9P9913n5KTkzV37lz99re/dbotICCKior0pz/9Sfv375ckbd++XTU1Nbr77rsd7gyhapDTDYSz06dPq7e3VykpKbbrKSkpOnHihENdAYFnGIbKy8tVVFSkrKwsp9sB+t27776rpqYmNTQ0ON0KEHAHDx7UmjVrVF5ermeffVZbtmzR448/rpiYGH3/+993uj2gXz399NNqb2/X9OnTFR0drd7eXr344ou6//77nW4NIYrAHQQul8v2tWEYfteAcPLoo49qx44dqqmpcboVoN+1tLRo+fLl2rBhg4YOHep0O0DAeb1e5eXl6aWXXpIkzZ07V7t27dKaNWsI3Ag77733ntatW6d33nlHs2bN0rZt2/TEE08oLS1NS5Yscbo9hCACdwAlJSUpOjrab5rd2trqN/UGwsVjjz2m9evXq6qqSuPHj3e6HaDfbd26Va2trcrNzb18rbe3V1VVVfrNb36j7u5uRUdHO9gh0L9SU1M1c+ZM27UZM2bo97//vUMdAYHz1FNP6ZlnntHf/d3fSZJmz56tw4cPq6KigsCNm8Iz3AE0ZMgQ5ebmauPGjbbrGzduVEFBgUNdAYFhGIYeffRRvf/++/q///s/ZWZmOt0SEBCLFi3Szp07tW3btsufvLw8PfDAA9q2bRthG2GnsLDQ75jH/fv3a+LEiQ51BAROV1eXoqLsESk6OppjwXDTmHAHWHl5uR566CHl5eVp4cKFWrt2rY4cOaIf//jHTrcG9Ktly5bpnXfe0Ycffqj4+PjLmx2JiYkaNmyYw90B/Sc+Pt7v3QRxcXEaPXo07yxAWHryySdVUFCgl156Sd/73ve0ZcsWrV27VmvXrnW6NaDffetb39KLL76oCRMmaNasWWpubtarr76qRx55xOnWEKI4FiwIVq9erVdeeUXHjx9XVlaWfv3rX3NMEsLO1d5L8Oabb2rp0qXBbQYIsrKyMo4FQ1j76KOPtGLFCh04cECZmZkqLy/XD3/4Q6fbAvpdR0eHnnvuOX3wwQdqbW1VWlqa7r//fv385z/XkCFDnG4PIYjADQAAAABAAPAMNwAAAAAAAUDgBgAAAAAgAAjcAAAAAAAEAIEbAAAAAIAAIHADAAAAABAABG4AAAAAAAKAwA0AAAAAQAAQuAEAAAAACAACNwAAAAAAAUDgBgAAAAAgAAjcAAAAAAAEAIEbAIAIcerUKY0dO1YvvfTS5Wv19fUaMmSINmzY4GBnAACEJ5dhGIbTTQAAgOD4wx/+oHvvvVe1tbWaPn265s6dq3vuuUerVq1yujUAAMIOgRsAgAizbNky/fGPf1R+fr62b9+uhoYGDR061Om2AAAIOwRuAAAizIULF5SVlaWWlhY1NjZqzpw5TrcEAEBY4hluAAAizMGDB3Xs2DF5vV4dPnzY6XYAAAhbTLgBAIggFy9e1Lx585Sdna3p06fr1Vdf1c6dO5WSkuJ0awAAhB0CNwAAEeSpp57Sf/7nf2r79u0aPny47rjjDsXHx+ujjz5yujUAAMIOK+UAAESIyspKrVq1Sm+//bYSEhIUFRWlt99+WzU1NVqzZo3T7QEAEHaYcAMAAAAAEABMuAEAAAAACAACNwAAAAAAAUDgBgAAAAAgAAjcAAAAAAAEAIEbAAAAAIAAIHADAAAAABAABG4AAAAAAAKAwA0AAAAAQAAQuAEAAAAACAACNwAAAAAAAUDgBgAAAAAgAP4fJxe/iGdslTYAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(figsize=(12, 3), dpi=100)\n", "\n", "axes.plot(x, y, \"r\")\n", "axes.set_xlabel(\"x\")\n", "axes.set_ylabel(\"y\")\n", "axes.set_title(\"title\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Saving figures\n", "\n", "To save a figure to a file, the `savefig` method in the `Figure` class is used:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "fig.savefig(output_path / \"filename.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The DPI can also optionally be specified and different different output formats selected:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "fig.savefig(output_path / \"filename.png\", dpi=200)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### What formats are available and which ones should be used for best quality?\n", "\n", "`matplotlib` can generate high-quality output in a number formats, including PNG, JPG, EPS, SVG, and PDF. For scientific papers, use PDF whenever possible. ($\\LaTeX$ documents compiled with `pdflatex` can include PDFs using the `includegraphics` command $-$ PDFs can also be edited using Adobe Illustrator and other similar graphics programs). \n", "\n", "The figure type (pdf, png, *etc.*) can be changed simply by changing the file extension." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "fig.savefig(output_path / \"filename.svg\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Formatting text: $\\LaTeX$, fontsize, font family\n", "\n", "The figure above is functional, but it does not (yet) satisfy the criteria for a figure used in a publication. First and foremost, it may be necessary to use $\\LaTeX$ formatted text, and second, it may be necessary to adjust the font size to appear right in a publication.\n", "\n", "`matplotlib` has great support for $\\LaTeX$. All that is required to incorporate $\\LaTeX$ text is to encapsulate any text (legend, title, label, etc.) in dollar signs. For example, `'$y=x^3$'`.\n", "\n", "But here we can run into a slightly subtle problem with $\\LaTeX$ code and Python text strings. In $\\LaTeX$, the backslash is frequently used in commands, for example `\\alpha` to produce the symbol $\\alpha$. But the backslash already has a meaning in Python strings (the escape code character). To avoid Python messing up our latex code, we need to use \"raw\" text strings. Raw text strings are prepended with an '`r`', like `r'\\alpha'` instead of `'\\alpha'`:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(x, x**2, label=r\"$y = \\alpha^2$\")\n", "ax.plot(x, x**3, label=r\"$y = \\alpha^3$\")\n", "ax.set_xlabel(r\"$\\alpha$\", fontsize=18)\n", "ax.set_ylabel(r\"$y$\", fontsize=18)\n", "ax.set_title(\"title\")\n", "ax.legend(loc=\"upper left\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Control over axis appearance\n", "\n", "The appearance of the axes is an important aspect of a figure that often must be modified to make publication quality graphics. It also may be necessary to control where the ticks and labels are placed, modify the font size and possibly the labels used on the axes. Methods for controlling axis properties and appearance in a `matplotlib` figure are explored in this section.\n", "\n", "### Plot range\n", "\n", "Axes ranges can be configured using the `set_ylim` and `set_xlim` methods in the axis object, or `axis('tight')` for automatrically getting \"tightly fitted\" axes ranges:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 3, figsize=(12, 4))\n", "\n", "axes[0].plot(x, x**2, x, x**3)\n", "axes[0].set_title(\"default axes ranges\")\n", "\n", "axes[1].plot(x, x**2, x, x**3)\n", "axes[1].axis(\"tight\")\n", "axes[1].set_title(\"tight axes\")\n", "\n", "axes[2].plot(x, x**2, x, x**3)\n", "axes[2].set_ylim([0, 60])\n", "axes[2].set_xlim([2, 3])\n", "axes[2].set_title(\"custom axes range\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Logarithmic scale\n", "\n", "It is also possible to set a logarithmic scale for one or both axes. This functionality is in fact only one application of a more general transformation system in `matplotlib`. Each of the axes' scales are set separately using `set_xscale` and `set_yscale` methods which accept one parameter (with the value \"log\" in this case):" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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kWrRo4V7fu3dv+vbty7hx40hNTeX666/n559/5vnnn6ddu3bExMSUemy9e/fGz8+PoUOHMnbsWE6fPs0777xDSkrKJW3v66+/5u233+bWW2/liiuuwDAMPv/8c06ePOm+atWtWzdiYmJ4+eWXOXLkCAMGDMDf35/NmzcTGBjI448/TpcuXahZsyaPPvoozz//PL6+vsybN++i5pZq1KgRL730EhMmTOCPP/6gX79+1KxZkyNHjrB+/XqCgoKKrNIkIlIafvjhB48qnfluvvlmJk2aRO/evbnxxht5+umn8fPz4+2332br1q18/PHH7h+0EyZM4KuvvqJnz55MmDCBgIAA3n33XXfp7vwqZpfz/XkhrVq1Yvny5Xz11VfUrVuX4ODg8/ZwlIVGjRrx7LPP8o9//IPMzEyGDh2K3W5n+/btHDt2rMjve4fDwY033siwYcO45pprCA4OJj4+nri4OHdvTvXq1XnjjTd48MEH6dWrFw899BDh4eHs3r2bLVu2MG3aNEJCQrjhhht47bXXCA0NpVGjRqxYsYKZM2dSo0aNC8b/3nvv0b9/f/r27ct9991HvXr1OHHiBDt27GDTpk0FEuCz+fn5ER0dzdq1awt93dvbm1GjRjFu3DiCgoIK3POcL//9N9544wXjlTJkYYEIkRJzvmpFw4YNMwCPKnaGYRiZmZnGuHHjjIYNGxq+vr5G3bp1jb/85S9GSkqKR7uGDRsat9xyS4Ht5lfE+fTTTy8qlvzqP2dXQfrqq6+MNm3aGNWqVTPq1atn/PWvfzW+/fbbApV2LqaK3a+//moMHTrUuPLKK42AgADDbrcb1113nTFr1iyPdk6n03jzzTeNli1bGn5+fobdbjeio6ONr776yt1m9erVRnR0tBEYGGjUqVPHePDBB41NmzYZgPHhhx8WOKZzLV682LjxxhuNkJAQw9/f32jYsKFxxx13GMuWLTvvMYiIlJT87+KiHvnVxH766SfjpptuMoKCgoyAgACjc+fOHt+H+X766SejU6dOhr+/vxEREWH89a9/NV599VUDME6ePOlud7Hfn8OHDzeCgoIKjb2w7/yEhATj+uuvNwIDAw3A6N69u8dxnnvOKaxqW1HnM8AYNWqUx7o9e/YYgPHaa6+51xX1nf/RRx8ZHTt2NKpVq2ZUr17daNeuncexnuv06dPGo48+arRu3doICQkxAgICjKZNmxrPP/+8RyU9wzCMb775xujevbsRFBRkBAYGGs2bNzdeffVV9+sHDx40br/9dqNmzZpGcHCw0a9fP2Pr1q1Gw4YNPar+FfZ5GIZhbNmyxRg8eLARFhZm+Pr6GhEREcZNN91kvPvuu0XGn2/mzJmGt7e3cfjw4UJf37t3rwEYjz76aJHbiImJMVq1anXBfUnZshlGEf2WIiIiIlKkPn36sHfv3mJXHZXK4fTp0+5hdIVNUP/WW28xevRotm7d6jGKJV9qaiqRkZG8+eabPPTQQ2URslwkDbETERERuYAxY8bQrl07oqKiOHHiBPPmzWPp0qXMnDnT6tDEItWqVePFF1/khRde4LHHHiMoKAgwp/DYs2cPL730En/6058KTY4A3nzzTRo0aMD9999flmHLRVCCJCIiInIBTqeT5557jqSkJGw2G82bN2fOnDncc889VocmFnr44Yc5efIkf/zxB61atQLMAg1JSUl069aNd999t8j3hoSEMGvWLHx89HO8vNEQOxERERERkTwq8y0iIiIiIpJHCZKIiIiIiEgeJUgiIiIiIiJ5Ku1dYS6Xi8OHDxMcHFzozMUiIlI6DMMgLS2NyMhI9wSaYtK5SUTEGsU5N1XaBOnw4cNERUVZHYaISJV14MAB6tevb3UY5YrOTSIi1rqYc1OlTZCCg4MB80MICQmxOBoRkaojNTWVqKgo9/ewnKFzk4iINYpzbqq0CVL+0IWQkBCdhERELFCZh5CdOnWKZs2aceedd/L6669f9Pt0bhIRsdbFnJs0OFxERKSYXnnlFTp16mR1GCIiUgqUIImIiBTDb7/9xq+//srNN99sdSgiIlIKlCCJiEiVsXLlSgYOHEhkZCQ2m43FixcXaPP222/TuHFjqlWrRvv27fnpp588Xn/66aeZNGlSGUUsIiJlTQmSiIhUGRkZGbRp04Zp06YV+vrChQuJjY1lwoQJbN68mW7dutG/f3/2798PwBdffMHVV1/N1VdfXZZhi4hIGaq0RRpERETO1b9/f/r371/k61OmTGHEiBE8+OCDAEydOpUlS5bwzjvvMGnSJNauXcuCBQv49NNPSU9PJycnh5CQEJ577rlCt5eVlUVWVpZ7OTU1tWQPSERESpx6kERERIDs7Gw2btxInz59PNb36dOH1atXAzBp0iQOHDjA3r17ef3113nooYeKTI7y29vtdvdDcyCJiJR/SpBERESAY8eO4XQ6CQ8P91gfHh5OUlLSJW1z/PjxOBwO9+PAgQMlEaqIiJQiDbETERE5y7lzZBiGUei8Gffdd98Ft+Xv74+/v39JhSYiImVAPUgiIiJAaGgo3t7eBXqLkpOTC/QqFdf06dNp3rw5HTt2vKztiIhI6VOCJCIiAvj5+dG+fXuWLl3qsX7p0qV06dLlsrY9atQotm/fTnx8/GVtR0SkSss+VSa7KVaClJuby9/+9jcaN25MQEAAV1xxBS+99BIul8vdxjAMXnjhBSIjIwkICKBHjx5s27bNYztZWVk8/vjjhIaGEhQUxKBBgzh48KBHm5SUFGJiYtw3tsbExHDy5MlLP1IREbk4Gz6E92+C+JlWR1Li0tPTSUhIICEhAYA9e/aQkJDgLuM9ZswYPvjgA/7973+zY8cOnnzySfbv38+jjz5qYdQiIlWcYcCKyTCjO5w6Ueq7K1aC9Oqrr/Luu+8ybdo0duzYweTJk3nttdd466233G0mT57MlClTmDZtGvHx8URERNC7d2/S0tLcbWJjY1m0aBELFixg1apVpKenM2DAAJxOp7vNsGHDSEhIIC4ujri4OBISEoiJiSmBQxYRkfM6sB4ObYT0ZKsjKXEbNmygXbt2tGvXDjATonbt2rkr0Q0ZMoSpU6fy0ksv0bZtW1auXMk333xDw4YNrQxbRKTqcubAl4/Bj6/AsV2w48tS36XNMAzjYhsPGDCA8PBwZs48c1Xx9ttvJzAwkDlz5mAYBpGRkcTGxjJu3DjA7C0KDw/n1Vdf5ZFHHsHhcFCnTh3mzJnDkCFDADh8+DBRUVF888039O3blx07dtC8eXPWrl1Lp06dAFi7di3R0dH8+uuvNG3a9IKxpqamYrfbcTgchISEFOtDERGp0qZ3hqM7YOgCaFr0nEFF0fdvQdOnT2f69Ok4nU527dqlz0ZE5GKcToVPh8PvP4DNC25+HTqOuKRNFefcVKwepK5du/L999+za9cuALZs2cKqVau4+eabAXOoQlJSksccEv7+/nTv3t09h8TGjRvJycnxaBMZGUnLli3dbdasWYPdbncnRwCdO3fGbre724iISCnIzoBjO83nddtaGkplonuQRESKKfUwfNjfTI58A+Gujy85OSquYpX5HjduHA6Hg2uuuQZvb2+cTievvPIKQ4cOBXBX/ilsDol9+/a52/j5+VGzZs0CbfLfn5SURFhYWIH9h4WFFTkXhWYrFxEpAUm/gOGC6hEQUtfqaEREpCo6sg3m3QmphyAoDIYthHrXltnui9WDtHDhQubOncv8+fPZtGkTs2fP5vXXX2f27Nke7S52DonztSms/fm2o9nKRURKwOEE829kO0vDEBGRKur3H+Hf/czkKLQpPLisTJMjKGaC9Ne//pVnnnmGu+66i1atWhETE8OTTz7JpEmTAIiIiAA47xwSERERZGdnk5KSct42R44cKbD/o0ePFjkXhWYrFxEpAYc3m38j21oaRmWjeZBERC5CwnyYdwdkpULDrjBiCdQs+yI5xUqQTp06hZeX51u8vb3dZb4bN25MRESExxwS2dnZrFixwj2HRPv27fH19fVok5iYyNatW91toqOjcTgcrF+/3t1m3bp1OByOIuei8Pf3JyQkxOMhIiLFlJhg/lUPUonSPUgiIudhGLD8VVj8F3DlQss7IOZzCKh54feWgmLdgzRw4EBeeeUVGjRoQIsWLdi8eTNTpkzhgQceAMxhcbGxsUycOJEmTZrQpEkTJk6cSGBgIMOGDQPAbrczYsQInnrqKWrXrk2tWrV4+umnadWqFb169QKgWbNm9OvXj4ceeoj33nsPgIcffpgBAwZcVAU7ERG5BFnpcFQFGkREpAw5c+CrJyBhnrncdQzc9HfwKlY/TokqVoL01ltv8fe//52RI0eSnJxMZGQkjzzyiHv+CICxY8eSmZnJyJEjSUlJoVOnTnz33XcEBwe727z55pv4+PgwePBgMjMz6dmzJ7NmzcLb29vdZt68eYwePdpd7W7QoEFMmzbtco9XRESKkvQLYEBwXQgufDiziIhIiTmdCp/cC3/8aJbxvuUN6PCA1VEVbx6kikTzcIiIFNOat2HJeGh6Mwz9+JI3o+/foumzERHJ4zgE8wfDka3gGwR3zoKr+1zwbZeqON+/xepBEhGRSiz//iMNrytxZ08UKyJS5SVtNct4px2G6uEw7JNyVRzIusF9IiJSvqjEd6lRkQYRkTy//2CW8U47fKaMdzlKjkA9SCIiApCVBsd2mc/L2YlKREQqic1zzYIMrlxo1A2GzLGsUt35KEESEZEzBRpC6kH1MKujERGRysQwYPk/YcU/zeVWd8KfpoOPv7VxFUEJkoiInJkgVvcfiYhIScrNhq9jz5Tx7vaUWcbbZrM0rPNRgiQiIrr/qJSpSIOIVEmnHXllvJeDzTuvjPf9Vkd1QSrSICIiZ3qQdP9RqVCRBhGpchyH4N/9zeTINwiGLawQyRGoB0lERE6nwvHd5nMNsRMRkcuV9EteGe/EclnG+0KUIImIVHVJP2MWaKgP1etYHY2IiFRku7+HT4ZDdhrUuQbu/hRqNLA6qmJRgiQiUtW57z9qa2UUIiJS0RUo4z0XAmpYHVWxKUESEanqdP+RiIhcDsOA5ZNgxavmcqvB8Kdp5baM94UoQRIRqeoSE8y/qmAnIiLFlZsNX42GLR+by92ehpv+Vq7LeF+IEiQRkarstOOsAg1KkEqLynyLSKV02gEL74E9K80y3gPehPbDrY7qsqnMt4hIVZb4s/nXHgVBta2NpRJTmW8RqXQcB+Hf/czkyK+6WamuEiRHoB4kEZGqTfcfiYhIcSX+DPMH55XxjoC7P4G6bayOqsQoQRIRqcry7z/S/EciInIxdi/LK+OdDnWa5ZXxjrI6qhKlBElEpCpz9yDp/iMREbmATR/BV7FgOCt0Ge8LUYIkIlJVnXbAiT/M50qQRESkKIYBP74CK18zl1vfBYPeAh8/a+MqJUqQRESqqsQt5t8aDSCwlrWxiIhI+ZSbDV8+Dj8vMJdvGAs3Pluhy3hfiBIkEZGqKn94ne4/EhGRwmSehE9izpTxHjgVrr3X6qhKnRIkEZGq6nCC+VfD60RE5FwnD8C8O+HoDrOM9+DZcFUvq6MqE5oHSUSkqlKJ7zIzffp0mjdvTseOHa0ORUTkwhK3wAe9zOSoegTc/22VSY5ACZKISNWUmQIpe8znGmJX6jRRrIhUGL8thQ9vhvQkCGsOD30PdVtbHVWZ0hA7EZGqyF2goaEKNIiIiGnjbPj6SbOMd+PuMGQOVLNbHVWZK1YPUqNGjbDZbAUeo0aNAsAwDF544QUiIyMJCAigR48ebNu2zWMbWVlZPP7444SGhhIUFMSgQYM4ePCgR5uUlBRiYmKw2+3Y7XZiYmI4efLk5R2piIicofuPREQkn2HA9/+Ar0abyVGboXD3Z1UyOYJiJkjx8fEkJia6H0uXLgXgzjvvBGDy5MlMmTKFadOmER8fT0REBL179yYtLc29jdjYWBYtWsSCBQtYtWoV6enpDBgwAKfT6W4zbNgwEhISiIuLIy4ujoSEBGJiYkrieEVEBHT/kYiImHKzYdEj8NPr5nL3cXDrO5V2jqOLUawhdnXq1PFY/uc//8mVV15J9+7dMQyDqVOnMmHCBG677TYAZs+eTXh4OPPnz+eRRx7B4XAwc+ZM5syZQ69e5o1ec+fOJSoqimXLltG3b1927NhBXFwca9eupVOnTgC8//77REdHs3PnTpo2bVoSxy0iUrUlJph/1YMkIlJ1ZZ6EhffA3p/AywcGTIVr1SlxyUUasrOzmTt3Lg888AA2m409e/aQlJREnz593G38/f3p3r07q1evBmDjxo3k5OR4tImMjKRly5buNmvWrMFut7uTI4DOnTtjt9vdbQqTlZVFamqqx0NERApx6gSk7DWf121jaSgiImKRk/vh333N5MgvGIZ9ouQozyUnSIsXL+bkyZPcd999ACQlJQEQHh7u0S48PNz9WlJSEn5+ftSsWfO8bcLCwgrsLywszN2mMJMmTXLfs2S324mKirrUQxMRqdzyCzTUbAQBNc/bVEREKqHDCXllvH+F4LrwwLdwVU+royo3LjlBmjlzJv379ycyMtJjvc1m81g2DKPAunOd26aw9hfazvjx43E4HO7HgQMHLuYwRESqHvf9RxpeJyJS5bjLeB+BsBbw4DKIaGV1VOXKJSVI+/btY9myZTz44IPudREREQAFenmSk5PdvUoRERFkZ2eTkpJy3jZHjhwpsM+jR48W6J06m7+/PyEhIR4PEREpRP79R5r/SESkatnwIcwfAjkZcEUPs+fIXt/qqMqdS0qQPvzwQ8LCwrjlllvc6xo3bkxERIS7sh2Y9ymtWLGCLl26ANC+fXt8fX092iQmJrJ161Z3m+joaBwOB+vXr3e3WbduHQ6Hw91GREQug3qQRESqFsOA71+Cr2PzyngPg2GfVtky3hdS7IliXS4XH374IcOHD8fH58zbbTYbsbGxTJw4kSZNmtCkSRMmTpxIYGAgw4YNA8ButzNixAieeuopateuTa1atXj66adp1aqVu6pds2bN6NevHw899BDvvfceAA8//DADBgxQBTsRkct16oR5Yy6oQIOISFWQmwVfjIJfPjWXe4w3S3lf4BaYqqzYCdKyZcvYv38/DzzwQIHXxo4dS2ZmJiNHjiQlJYVOnTrx3XffERwc7G7z5ptv4uPjw+DBg8nMzKRnz57MmjULb29vd5t58+YxevRod7W7QYMGMW3atEs5PhEROVv+8LpaV0BADSsjERGR0paZAgvugX2rzDLeA/8P2t1tdVTlns0wDMPqIEpDamoqdrsdh8Oh+5FERPL99IY5zKLFbXDnh6WyC33/FjR9+nSmT5+O0+lk165d+mxEpPSd3A9z74BjO80y3kM+gitvsjoqyxTn3HTJVexERKQCOpxg/tX9R2Vq1KhRbN++nfj4eKtDEZGq4PBms4z3sZ0QHAkPxFXp5Ki4ij3ETkREKjB3gtTWyihERKS07PoOPr3PrFQX3tKcANZez+qoKhQlSCIiVUXGcXCoQIOISKW14d/w36fAcMEVN8Lgj6CahvMWlxIkEZGqIjGvvHetK1XaVUSkMnG54IeXYNWb5nLbe2DgVPD2tTSsikoJkohIVaH7j0REKp/cLFg8ErZ+Zi73eBa6j1UZ78ugBElEpKpwTxDb1tIwRESkhJxbxnvQW9B2mNVRVXhKkEREqorELeZf9SCJiFR8Kftg3p1mpTr/EPN+oytvtDqqSkEJkohIVZBxDBwHzOcRra2NRURELs+hTTB/CGQkQ0g9uPtTCG9hdVSVhhIkEZGqIP/+o9pXqaKRiEhFtjMOPrsfck6ZZbzv/hRCIq2OqlJRgiQiUhW47z/S8DoRkQorfiZ887RZxvvKm+DO2broVQqUIImIVAWJCebfum2tjEJERC6FywXfvwj/m2out7sHBkxVGe9SogRJRKQqUA+SiEjFlJsFi/8CW/9jLt84AW74q8p4lyIlSCIilV36UUg9BNigrgo0iIhUGKdOwIK7Yf/qvDLe06DtUKujqvSUIImIVHb5w+tCm4B/sKWhiIjIRUrZC3PvgOO/mWW8h8yBK3pYHVWV4GV1ACIiUsryh9fp/qPLlpaWRseOHWnbti2tWrXi/ffftzokEamMDm2CD3qZyVFIPXggTslRGVIPkohIZZdf4lv3H122wMBAVqxYQWBgIKdOnaJly5bcdttt1K5d2+rQRKSy2PktfPZAXhnvVnD3JyrjXcaUIImIVHbuAg1tLQ2jMvD29iYwMBCA06dP43Q6MQzD4qhEpNJY/z58OzavjHdPGDxbQ6MtoCF2IiKVWdoRSDsM2CBCBRpWrlzJwIEDiYyMxGazsXjx4gJt3n77bRo3bky1atVo3749P/30k8frJ0+epE2bNtSvX5+xY8cSGhpaRtGLSKXlcsF3fz8zx9G198KwhUqOLKIESUSkMnMXaLga/KtbGkp5kJGRQZs2bZg2bVqhry9cuJDY2FgmTJjA5s2b6datG/3792f//v3uNjVq1GDLli3s2bOH+fPnc+TIkbIKX0Qqo5zT8J8HYPX/mcs3/g0G/p/mOLKQEiQRkcpM9x956N+/Py+//DK33XZboa9PmTKFESNG8OCDD9KsWTOmTp1KVFQU77zzToG24eHhtG7dmpUrVxa5v6ysLFJTUz0eIiJup07AnFth2yLw8oU/vwfdNceR1ZQgiYhUZrr/6KJlZ2ezceNG+vTp47G+T58+rF69GoAjR464k5zU1FRWrlxJ06ZNi9zmpEmTsNvt7kdUVFTpHYCIVCwn9sDMPrB/Dfjb4Z7/QJu7rI5KUIIkIlK55Q+xUw/SBR07dgyn00l4eLjH+vDwcJKSkgA4ePAgN9xwA23atKFr16489thjtG5d9L1d48ePx+FwuB8HDhwo1WMQkQri0EaY2TuvjHd9GLEEruhudVSSR1XsREQqq7QkSEsEmxdEtLI6mgrDds7QFsMw3Ovat29PQkLCRW/L398ff3//kgxPRCq6X78xy3jnZprFc4Z9AiF1rY5KzqIESUSkssq//yj0avALsjSUiiA0NBRvb293b1G+5OTkAr1KIiKX5Owy3lf1gjtnqVJdOVTsIXaHDh3innvuoXbt2gQGBtK2bVs2btzoft0wDF544QUiIyMJCAigR48ebNu2zWMbWVlZPP7444SGhhIUFMSgQYM4ePCgR5uUlBRiYmLc47ZjYmI4efLkpR2liEhV5L7/SMPrLoafnx/t27dn6dKlHuuXLl1Kly5dLmvb06dPp3nz5nTs2PGytiMiFZTLBd/9zbOM99AFSo7KqWIlSCkpKVx//fX4+vry7bffsn37dt544w1q1KjhbjN58mSmTJnCtGnTiI+PJyIigt69e5OWluZuExsby6JFi1iwYAGrVq0iPT2dAQMG4HQ63W2GDRtGQkICcXFxxMXFkZCQQExMzOUfsYhIVZF//1HdtlZGUa6kp6eTkJDgHia3Z88eEhIS3GW8x4wZwwcffMC///1vduzYwZNPPsn+/ft59NFHL2u/o0aNYvv27cTHx1/uIYhIRZNzGj67H1a/ZS7f9HeV8S7vjGIYN26c0bVr1yJfd7lcRkREhPHPf/7Tve706dOG3W433n33XcMwDOPkyZOGr6+vsWDBAnebQ4cOGV5eXkZcXJxhGIaxfft2AzDWrl3rbrNmzRoDMH799deLitXhcBiA4XA4inOIIiKVx2tNDOP5EMPYt/bCbUtQef7+/fHHHw2gwGP48OHuNtOnTzcaNmxo+Pn5Gddee62xYsWKEtt/ef5sRKQUZBw3jA/6mN/FL9Y2jC0LrY6oyirO92+xepC+/PJLOnTowJ133klYWBjt2rXj/fffd7++Z88ekpKSPEqk+vv70717d3eJ1I0bN5KTk+PRJjIykpYtW7rbrFmzBrvdTqdOndxtOnfujN1ud7c5l+aaEBE5S2oipB9RgYZz9OjRA8MwCjxmzZrlbjNy5Ej27t1LVlYWGzdu5IYbbrjs/WqInUgVdOIPs1LdgbVmGe+Yz6H1YKujkotQrATpjz/+4J133qFJkyYsWbKERx99lNGjR/PRRx8BuG9sPV+J1KSkJPz8/KhZs+Z524SFhRXYf1hYWIGbZ/NprgkRkbPkD6+rcw34BVoaimiInUiVc3ADfNAbju8Ge5RZxrvx5V9skbJRrATJ5XJx7bXXMnHiRNq1a8cjjzzCQw89VGCG8fOVSC3KuW0Ka3++7WiuCRGRs+QXaND9RyIiZevX/8KsAXDqmFnG+8FlENbM6qikGIqVINWtW5fmzZt7rGvWrJn75taIiAiA85ZIjYiIIDs7m5SUlPO2OXLkSIH9Hz16tMhSq/7+/oSEhHg8RESqrPwS36pgJyJSdta9BwvuNuc4uqo33P8tBEdYHZUUU7ESpOuvv56dO3d6rNu1axcNGzYEoHHjxkRERHiUSM3OzmbFihXuEqnt27fH19fXo01iYiJbt251t4mOjsbhcLB+/Xp3m3Xr1uFwOC671KqISKVnGGeV+G5raShi0j1IIpWcywVLJphzHGFA+/vyynhXtzoyuQTFmij2ySefpEuXLkycOJHBgwezfv16ZsyYwYwZMwBzWFxsbCwTJ06kSZMmNGnShIkTJxIYGMiwYcMAsNvtjBgxgqeeeoratWtTq1Ytnn76aVq1akWvXr0As1eqX79+PPTQQ7z33nsAPPzwwwwYMICmTZuW5PGLiFQ+aYmQkQw2bwhvaXU0gnkP0qhRo0hNTcVut1sdjoiUpJxMWPQIbP/CXO75HHQdAxe4vUTKr2IlSB07dmTRokWMHz+el156icaNGzN16lTuvvtud5uxY8eSmZnJyJEjSUlJoVOnTnz33XcEB5+ZCOvNN9/Ex8eHwYMHk5mZSc+ePZk1axbe3t7uNvPmzWP06NHuaneDBg1i2rRpl3u8IiKVX37vkQo0iIiUrozjsGAoHFgHXr5w6zvQ+k6ro5LLZDMMw7A6iNKQf5XO4XDofiQRqVp+eAVWToa298Ct08t89/r+LZo+G5FK5MQfMPcOOPE7VLPDkHnQuJvVUUkRivP9W6weJBERqQB0/5GISOk6uAHmD4ZTx8HeAO7+FMKusToqKSHFKtIgIiLlnGGcmQNJFezKDRVpEKlEdnydV8b7ONRtk1fGW8lRZaIESUSkMkk9BBlH8wo0tLA6GsmjiWJFKom178LCe8wy3k36wH3fQHDhU9BIxaUhdiIilUn+/EdhzcE3wNJQREQqDZcLvvsbrM27r7P9/XDz6+Ctn9KVkf6riohUJu77j9pYG4eISGWRkwmfPwQ7vjKXe70A18eqjHclpgRJRKQyyb//qG5bK6MQEakcMo7Dx3fBwfXg7WeW8W51h9VRSSlTgiQiUlkYxlk9SNdaG4uISEV3/HeYd4dZzruaHe76GBpdb3VUUgZUpEFEpLJwHDSrKnn5qEBDOaMqdiIVzIH1MLO3mRzZG8CIpUqOqhAlSCIilUV+71FYM/CtZm0s4kFV7EQqkO1fwuyBeWW825plvOs0tToqKUMaYiciUlno/iMRkcuz5m1Y8ixgwNX94PaZ4F/d6qikjClBEhGpLPJLfGuCWBGR4nE5YckEWPeOudxhBPSfrDLeVZT+q4uIVAYeBRraWhqKiEiFUqCM94tw/RMq412FKUESEakMHAcg8wR4+UJ4S6ujERGpGDKO5ZXxjjfLeP/5XWh5u9VRicWUIImIVAZnF2jw8bc2FhGRisCjjHcNGPoxNOxidVRSDqiKnYhIZaD7j8o1lfkWKWf2r4MPepnJUY28Mt5KjiSPEiQRkcpA9x+VayrzLVKObP8CPhpkDkuObAcPfg91rrY6KilHNMRORKSiM4wzJb7VgyQiUjSPMt794Y6Z4BdkdVRSzihBEhGp6E7ug8wUs0BDWHOroxERKX9cTjMxWveuudzxQbOMt5e3tXFJuaQESUSkosu//yi8hQo0iIicK/uUWcb716/N5d7/gC6Pq4y3FEkJkohIRaf7j0RECpd+1CzjfWiDynjLRVOCJCJS0eXff1S3rZVRiIiUL8d2w7zbIWWvynhLsShBEhGpyAxDJb5FRM61f53Zc5R5Amo0hHv+A6FNrI5KKgglSCIiFVnKXjh90hw6ogINIiKwbTF8/jA4syDyWhi2EKqHWR2VVCDFmgfphRdewGazeTwiIiLcrxuGwQsvvEBkZCQBAQH06NGDbdu2eWwjKyuLxx9/nNDQUIKCghg0aBAHDx70aJOSkkJMTAx2ux273U5MTAwnT5689KMUEams8u8/Cm8BPn7WxiJF0kSxImXAMGD1NPj0PjM5anoz3Pe1kiMptmJPFNuiRQsSExPdj19++cX92uTJk5kyZQrTpk0jPj6eiIgIevfuTVpamrtNbGwsixYtYsGCBaxatYr09HQGDBiA0+l0txk2bBgJCQnExcURFxdHQkICMTExl3moIiKVkO4/qhA0UaxIKXM54dux8N0EwICOD8GQuZrjSC5JsYfY+fj4ePQa5TMMg6lTpzJhwgRuu+02AGbPnk14eDjz58/nkUceweFwMHPmTObMmUOvXr0AmDt3LlFRUSxbtoy+ffuyY8cO4uLiWLt2LZ06dQLg/fffJzo6mp07d9K0adPLOV4RkcpF9x+JSFWXfQr+8yDs/K+53OdliH5MZbzlkhW7B+m3334jMjKSxo0bc9ddd/HHH38AsGfPHpKSkujTp4+7rb+/P927d2f16tUAbNy4kZycHI82kZGRtGzZ0t1mzZo12O12d3IE0LlzZ+x2u7uNiIhgDifJ70FSiW8RqYrSj8LsAWZy5O0Pd87SHEdy2YrVg9SpUyc++ugjrr76ao4cOcLLL79Mly5d2LZtG0lJSQCEh4d7vCc8PJx9+/YBkJSUhJ+fHzVr1izQJv/9SUlJhIUVHCsaFhbmblOYrKwssrKy3MupqanFOTQRkYonZQ+cdpg/Cuo0szoaEZGydew3mHeHWawmoCYMXQANOlsdlVQCxUqQ+vfv737eqlUroqOjufLKK5k9ezadO5v/IG3nZOyGYRRYd65z2xTW/kLbmTRpEi+++OJFHYeISKWgAg0iUlXtWwMLhkJmCtRsBHf/B0KvsjoqqSSKPcTubEFBQbRq1YrffvvNfV/Sub08ycnJ7l6liIgIsrOzSUlJOW+bI0eOFNjX0aNHC/ROnW38+PE4HA7348CBA5dzaCIi5Z/uPxKRqmjbIvjoT2ZyVK89jFim5EhK1GUlSFlZWezYsYO6devSuHFjIiIiWLp0qfv17OxsVqxYQZcu5qzF7du3x9fX16NNYmIiW7dudbeJjo7G4XCwfv16d5t169bhcDjcbQrj7+9PSEiIx0NEpFLL70HS/UciUhUYBqx+66wy3rfA8K+heh2rI5NKplhD7J5++mkGDhxIgwYNSE5O5uWXXyY1NZXhw4djs9mIjY1l4sSJNGnShCZNmjBx4kQCAwMZNmwYAHa7nREjRvDUU09Ru3ZtatWqxdNPP02rVq3cVe2aNWtGv379eOihh3jvvfcAePjhhxkwYIAq2ImI5HO5IPFn87l6kESksnM5Ie4ZWD/DXL7uEeg3Cby8rY1LKqViJUgHDx5k6NChHDt2jDp16tC5c2fWrl1Lw4YNARg7diyZmZmMHDmSlJQUOnXqxHfffUdwcLB7G2+++SY+Pj4MHjyYzMxMevbsyaxZs/D2PvMPfN68eYwePdpd7W7QoEFMmzatJI5XRKRySNkDWfkFGq6xOhoRkdKTnZFXxvsbwAZ9X4HOI1WpTkqNzTAMw+ogSkNqaip2ux2Hw6HhdiJS+fzyGfxnBNTrAA99b3U0HvT9WzR9NiLFlJ4M84fA4U3mBaHbZkCLW62OSiqg4nz/FnuiWBERKQd0/5GIVHbHfoO5t8PJfRBQK6+Md6cLv0/kMl1WkQYREbFI4hbzb922loYhF2f69Ok0b96cjh07Wh2KSMWwbw3M7G0mRzUbwYilSo6kzChBEhGpaFwulfiuYEaNGsX27duJj4+3OhSR8m/r52eV8e4AD36vMt5SpjTETkSkojnxB2SngU81FWgQkcrDMGD1/8HS58zlawbAbe+DX6C1cUmVowRJRKSiyb//KKIVeOtrXEQqAWcuxI2D+A/M5U5/MavVqYy3WEBnVhGRiiYxwfyr+49EpDLIzoDPRsCubzHLeE+E6JFWRyVVmBIkEZGKRvcfiUhlkZ4M8webPeM+1cwy3s3/ZHVUUsUpQRIRqUhcrjMV7FTiW0QqsqO7YN7tcHK/WcZ72EKIus7qqESUIImIVCgnfs8r0BAAoU2tjkZE5NLs/R8sGAanT0KtK+Duz6D2lVZHJQIoQRIRqVhUoEFEKrpfPoPFfwFnNtTvaE4AGxRqdVQibjq7iohUJLr/SEQqKsOA//0Llj1vLjcbaJbx9g2wNi6RcyhBEhGpSPJ7kHT/kYhUJM5c+HYsbJhpLnceCX1eVhlvKZeUIImIVBQuJyT9bD5XD5KIVBTZGfDZA7ArDrBBv0nQ+S9WRyVSJCVIIiIVxfHdkJ0OvoEQerXV0YiIXFjaEbOMd2KCWcb79g/MoXUi5ZgSJBGRiiL//qOI1hqWIiLl39GdMPcOcOyHwNowdCFEdbQ6KpELUoIkIlJR6P4jEako9v4PFgyF0w6odSXc/anKeEuFoQRJRKSiSEww/9Zta2UUIiLn51HG+7q8Mt61rY5K5KJ5WR2AiIhcBJcTEreYz1WgwTIHDhygR48eNG/enNatW/Ppp59aHZJI+WEYsOpN+M8IMzlqNgiGf6nkSCoc9SCJiFQEx36DnFPgGwShTayOpsry8fFh6tSptG3bluTkZK699lpuvvlmgoKCrA5NxFrOXPjmadj4obkc/Rj0/gd46Vq8VDxKkEREKoL8+4/qqkCDlerWrUvdunUBCAsLo1atWpw4cUIJklRtWenw2f3w23eYZbz/CZ0ftToqkUumtF5EpCLQ/UclYuXKlQwcOJDIyEhsNhuLFy8u0Obtt9+mcePGVKtWjfbt2/PTTz8Vuq0NGzbgcrmIiooq5ahFyrG0IzDrZjM58gmAIXOVHEmFpwRJRKQiyC/xrfuPLktGRgZt2rRh2rRphb6+cOFCYmNjmTBhAps3b6Zbt27079+f/fv3e7Q7fvw49957LzNmzCiLsEXKp+Rf4YNe5v2RgaFw39fQbIDVUYlcNg2xExEp71xOSPrZfK4S35elf//+9O/fv8jXp0yZwogRI3jwwQcBmDp1KkuWLOGdd95h0qRJAGRlZfHnP/+Z8ePH06VLl/PuLysri6ysLPdyampqCRyFSDmwdxUsGHamjPc9n0GtK6yOSqREqAdJRKS8O7bLLNDgVx1qX2V1NJVWdnY2GzdupE+fPh7r+/Tpw+rVqwEwDIP77ruPm266iZiYmAtuc9KkSdjtdvdDw/GkUvj5U/joVjM5iuoEI5YqOZJK5bISpEmTJmGz2YiNjXWvMwyDF154gcjISAICAujRowfbtm3zeF9WVhaPP/44oaGhBAUFMWjQIA4ePOjRJiUlhZiYGPdJJSYmhpMnT15OuCIiFVN+gYYIFWgoTceOHcPpdBIeHu6xPjw8nKSkJAD+97//sXDhQhYvXkzbtm1p27Ytv/zyS5HbHD9+PA6Hw/04cOBAqR6DSKkyDPjpDfj8QXDlQPM/wb1fqIy3VDqXnCDFx8czY8YMWrdu7bF+8uTJTJkyhWnTphEfH09ERAS9e/cmLS3N3SY2NpZFixaxYMECVq1aRXp6OgMGDMDpdLrbDBs2jISEBOLi4oiLiyMhIeGirtaJiFQ6uv+oTNlsNo9lwzDc67p27YrL5SIhIcH9aNWqVZHb8vf3JyQkxOMhUiE5c+HrWPj+JXO5y+NwxyzwDbAyKpFScUkJUnp6OnfffTfvv/8+NWvWdK83DIOpU6cyYcIEbrvtNlq2bMns2bM5deoU8+fPB8DhcDBz5kzeeOMNevXqRbt27Zg7dy6//PILy5YtA2DHjh3ExcXxwQcfEB0dTXR0NO+//z5ff/01O3fuLIHDFhGpQPJ7kHT/UakKDQ3F29vb3VuULzk5uUCvUnFNnz6d5s2b07Fjx8vajoglstJhwVDYOAuwQf/XoM/LmuNIKq1L+pc9atQobrnlFnr16uWxfs+ePSQlJXmM3/b396d79+7u8dsbN24kJyfHo01kZCQtW7Z0t1mzZg12u51OnTq523Tu3Bm73e5uc66srCxSU1M9HiIiFZ4zF5LyhnCpB6lU+fn50b59e5YuXeqxfunSpRcsxnAho0aNYvv27cTHx1/WdkTKXFqSZxnvu+ZBp4etjkqkVBW7it2CBQvYtGlToV/y+VfdChu/vW/fPncbPz8/j56n/Db5709KSiIsLKzA9sPCwgpc2cs3adIkXnzxxeIejohI+XZsJ+Rmgl+wWSlKLkt6ejq7d+92L+/Zs4eEhARq1apFgwYNGDNmDDExMXTo0IHo6GhmzJjB/v37efRRzesiVVDyDph3JzgOmGW8h30C9dtbHZVUMS6XwZ7jGfx88CQ/H3QQ2+tq7AG+pbrPYiVIBw4c4IknnuC7776jWrVqRbY73/jtopzbprD259vO+PHjGTNmjHs5NTVV1YJEpOLLv/+obhsNZykBGzZs4MYbb3Qv5583hg8fzqxZsxgyZAjHjx/npZdeIjExkZYtW/LNN9/QsGFDq0IWscaelbDgHshymNUz7/4MajW2Oiqp5AzD4GBKJr8ccrDl4El+PuBg6yEHaVm57ja9moVz/VWhpRpHsRKkjRs3kpycTPv2Z64eOJ1OVq5cybRp09z3ByUlJVG3bl13m7PHb0dERJCdnU1KSopHL1JycrJ7CENERARHjhwpsP+jR48WOQ7c398ff3//4hyOiEj5p/uPSlSPHj0wDOO8bUaOHMnIkSNLdL/Tp09n+vTpHsWIRMqtnz+BxSPNSnUNouGu+RBYy+qopBJKTjvNzwcc/HzIwc8HT/LLQQfHM7ILtKvm60WLSDut69sJrV76v/eLlSD17NmzQDnT+++/n2uuuYZx48ZxxRVXEBERwdKlS2nXzhwrn52dzYoVK3j11VcBaN++Pb6+vixdupTBgwcDkJiYyNatW5k8eTIA0dHROBwO1q9fz3XXXQfAunXrcDgclz0OXESkQklMMP/WbWtlFHKZRo0axahRo0hNTcVut1sdjkjh8st4//APc7nFn+HWd8G36FFDIhfr5Klsfjnk4OeDDrYcOMkvhxwkOk4XaOfjZeOausG0rl+DNvXttKpXg6vDq+PjXXajKIqVIAUHB9OyZUuPdUFBQdSuXdu9PjY2lokTJ9KkSROaNGnCxIkTCQwMZNiwYQDY7XZGjBjBU089Re3atalVqxZPP/00rVq1chd9aNasGf369eOhhx7ivffeA+Dhhx9mwIABNG3a9LIPWkSkQlCBBhEpK85c+O8Y2DTbXO7yOPR6SUN75ZJkZOWy9ZAjb6ic2Tu07/ipAu1sNmgSVp1W9WrQJspO6/o1uCYimGq+1s75V+wiDRcyduxYMjMzGTlyJCkpKXTq1InvvvuO4OBgd5s333wTHx8fBg8eTGZmJj179mTWrFl4e5/5MObNm8fo0aPd1e4GDRrEtGnTSjpcEZHy6+ivkHs6r0CDZqkXkVKSlQaf3ge7l4HNC/pPhusesjoqqSCycp3sSEzj54Mn2XLAwS+HTrI7OR1XIaOZG9YOPKtnyE7LenaC/Es8HblsNuNCg7ErqPxhDA6HQxPziUjFtGkOfPkYNOoG931tdTQXTd+/BZ19D9KuXbv02Uj5kZoI8+80e6t9AuCOf8M1N1sdlZRTuU4Xu46k88uhk+6eoZ1JaeQ4C6YTde3VaFXPTpuoGrTOS4hqBPpZELWpOOem8peyiYiIyX3/URtLw5DLp3uQpFxK3gFz74DUgxBUB4YthHoq4y0mwzDYcyzDrCZ30Lx3aNthB6dzXAXa1gryo3V9O63rmcPkWte3ExZSce9dU4IkIlJe5Zf41v1HIlLS/lgBC2Pyyng3gXs+g5qNrI5KLJSd62LrYQcb9p4gfm8KG/elcKKQinLB/j60rGendZSd1vXMZKh+zYALTulTkShBEhEpj5w5KtAgIqVjy0L4YpTKeFdxjswcNu1PcSdEWw6cJCvXs3fIz8eLlpEh5n1DeUUUGtcOwsur8iRDhVGCJCJSHh39FZxZ4G+HmpqcUURKgGHAytfhx5fN5Ra3wa3vqIx3FXHoZGZeMnSCDXtT2HkkjXMrEdQM9KVDo1p0bFSTDo1q0TLSjp9P1atkqARJRKQ8yp8gtm5rldmtBDRRrFjOmZNXxvsjc/n6J6DnC/p+qaScLoOdSWls2Gf2Dm3Ye6LQOYca1Q50J0TtG9biyjpBlWqo3KVSgiQiUh7p/qNKRUUaxFJZafDJcPj9e5XxrqQys50kHDhp9hDtS2HzvhTSsnI92nh72WgZGUKHRrXo0LAm7RvVJCxYvYeFUYIkIlIe5fcgRba1NAwRqeDOLuPtGwh3fAhN+1kdlVymY+lZbMjrGYrfl8K2Qw5yz5l4KMjPm2sb1qRDQ7OHqG2DGgT66af/xdCnJCJS3uRmw5Ft5nP1IInIpTqyHebdeVYZ70+g3rVWRyXFlF9ue8PeFOL3nmDjvhT+OJZRoF14iD8d83qHOjSqxTURwfh4awjlpVCCJCJS3hzdYRZoqKYCDSJyif5YnlfGOxVCr4a7P1UZ7woiO9fFtsMOj4ToeCHltpuGB9O+UU2zoELDWpWu1LaVlCCJiJQ3+fcf1W0LOtmJSHElfAxfPgauXGh4PQyZqzLe5ZjLZbDtcCo/7T7Kqt+OsWl/SoHJWP18vGhT3+4uqHBtg5rUCPSzKOLKTwmSiEh5o/uPKh1VsZMyYRiw8jX48RVzueXtZhlvH39r45ICDqacYtVvx/hp9zFW7z5Gyqkcj9drBPq6h8p1bFSTlvXs+Pt4WxRt1aMESUSkvElMMP/WbWtlFFKCVMVOSp0zB76Ohc1zzeXrY6Hn8yrjXU6kns5hze/HWfXbMVbtPsaec+4hCvLzJvrK2nS9KpTrrwrlyjrVK/1krOWZEiQRkfJEBRpEpLhOp8Knw+H3H8wy3je/Dh1HWB1VlZbjdJFw4CQ//XaMVb8dZctBB86zqsx5e9loU99O1yZ16NYklLZRNfBVQYVyQwmSiEh5krwdnNlQrYZuqBaRC0s9DPMGwxGV8baSYRj8fjSDVb8dZdXuY6z94wTp58xD1Dg0iK5XhdK1SSjRV9YmpJqvRdHKhShBEhEpT86+/0gFGkTkfI5syyvjfQiCwmDYQpXxLkPH07NYtfuYe9hcouO0x+s1A33pclUo3fKSovo1Ay2KVIpLCZKISHmi+49E5GIUKOP9GdRsaHVUldrpHCfxe0+YxRV+O8b2xFSP1/28vejQqCZdm4TS7ao6tIgM0X1EFZQSJBGR8sTdg6T7j0SkCAnz4cvHz5TxvmseBNS0OqpKx+Uy2J6Y6u4lWr/3BNm5nuW3r4kIpluTULo2qcN1jWoR4KdKc5WBEiQRkfIiNwuObDefq8R3paIy31IiDANWTIblE83llnfArW+rjHcJOnwy06P89rkTtIaH+NP1KrOwwvVXhVInWJ99ZaQESUSkvEjeDq4c80pwDQ2VqUxU5lsumzMHvoqFhLwy3l2fhJueUxnvy3QqO5f/7T7Oqt+O8tPuY/xxtGD57c5X1DaHzTUxy2/bdH9opacESUSkvMgfXle3rQo0iMgZp1Phk3vhjx/NMt63vAEdHrA6qgrLcSqH7389QtzWJFb+dpTTOWeGzXnZoE1UjbzCCnVoG1UDPx8loVWNEiQRkfLicIL5V/cfiUg+xyGYPxiObAXfILjzQ7i6r9VRVTjJqaf5bvsRlmxLYs3vx8k9a06i+jUD6NG0Dl2vqkP0lbWxB6j8dlWnBElEpLw4u8S3iEjSVrOMd9phqB5ulvHWBZSLtv/4KZZsSyJuWxKb9qdgnMmJaBoeTN+WEfRtEU7zuiEaNicelCCJiJQHOacheYf5XD+AROT3H2DhvZCdBqFN4e5PVcb7AgzDYOeRNJZsPULctiR2nFOGu21UDfq1jKBviwgahwZZFKVUBMUaVPnOO+/QunVrQkJCCAkJITo6mm+//db9umEYvPDCC0RGRhIQEECPHj3Ytm2bxzaysrJ4/PHHCQ0NJSgoiEGDBnHw4EGPNikpKcTExGC327Hb7cTExHDy5MlLP0oRkfIueVtegYZaYI+yOhoRsdLmeWbPUXYaNOwKI5YoOSqCy2WwaX8Kk77dwY2vL6ff1J94c9kudiSm4u1lo8uVtXnpTy1YO74ni0ddz6Pdr1RyJBdUrB6k+vXr889//pOrrroKgNmzZ/OnP/2JzZs306JFCyZPnsyUKVOYNWsWV199NS+//DK9e/dm586dBAcHAxAbG8tXX33FggULqF27Nk899RQDBgxg48aNeHubteOHDRvGwYMHiYuLA+Dhhx8mJiaGr776qiSPXUSk/Dj7/iMN9RCpmgwDVrwKyyeZy63uhD9NVxnvc+Q4Xazfc4K4rUl8tz2JI6lZ7tf8fLy4oUkofVtE0KtZODWD/CyMVCoqm2GcPSKz+GrVqsVrr73GAw88QGRkJLGxsYwbNw4we4vCw8N59dVXeeSRR3A4HNSpU4c5c+YwZMgQAA4fPkxUVBTffPMNffv2ZceOHTRv3py1a9fSqVMnANauXUt0dDS//vorTZs2vai48kupOhwOQkJCLucQRURK3xePweY50O0p6Pmc1dFcFn3/FnT2PEi7du3SZyMF5WbD17GQMM9c7vYU3Pg3lfHOczrHyU+/HSNuaxLf/3qEk6dy3K9V9/fhxmvC6Ncigu5N61DdX3eQSEHFOTdd8r8gp9PJp59+SkZGBtHR0ezZs4ekpCT69OnjbuPv70/37t1ZvXo1jzzyCBs3biQnJ8ejTWRkJC1btmT16tX07duXNWvWYLfb3ckRQOfOnbHb7axevfqiEyQRkQolMcH8q/uPKiXNgyTnddqRV8Z7Odi888p43291VJZLPZ3Dj78ms2RbEst3HuVU9pmJlmsF+dG7WTj9WkbQ5ara+Pt4WxipVDbFTpB++eUXoqOjOX36NNWrV2fRokU0b96c1atXAxAeHu7RPjw8nH379gGQlJSEn58fNWvWLNAmKSnJ3SYsLKzAfsPCwtxtCpOVlUVW1pku1tTU1CLbioiUK2cXaKjb1tJQRKSMOQ6Z9xslb8sr4z0Lru5zwbdVVsfSs1i23Syy8L/dx8hxnhnoFGmvlld5LoIODWvi463eNSkdxU6QmjZtSkJCAidPnuQ///kPw4cPZ8WKFe7Xzy2TaBjGBUsnntumsPYX2s6kSZN48cUXL/YwRETKj81zwJULwZFgr291NCJSVpJ+gXmDzyrj/UmVLPN/6GQmS7aa5bg37D3BWVMUcWWdIHfluVb17CrHLWWi2AmSn5+fu0hDhw4diI+P51//+pf7vqOkpCTq1q3rbp+cnOzuVYqIiCA7O5uUlBSPXqTk5GS6dOnibnPkyJEC+z169GiB3qmzjR8/njFjxriXU1NTiYpSJSgRKeey0mD5P83nNzylAg0iVcXu7+GT4WalujrXmGW8azSwOqoyszs5jSXbjhC3NYlfDjk8XmtVz56XFIVzVViwRRFKVXbZd7EZhkFWVhaNGzcmIiKCpUuX0q6dOYY+OzubFStW8OqrrwLQvn17fH19Wbp0KYMHDwYgMTGRrVu3MnnyZACio6NxOBysX7+e6667DoB169bhcDjcSVRh/P398fdXlRcRqWD+939w6hjUvgquHW51NCJSFjbPha+eMHuOG3WDIXMgoOaF31fBHU/P4vNNh/hkwwF+S053r/eyQYdGtejXIoI+LcKpXzPQwihFipkgPfvss/Tv35+oqCjS0tJYsGABy5cvJy4uDpvNRmxsLBMnTqRJkyY0adKEiRMnEhgYyLBhwwCw2+2MGDGCp556itq1a1OrVi2efvppWrVqRa9evQBo1qwZ/fr146GHHuK9994DzDLfAwYMUIEGEalcUhNhzTTzec/nwdvX2nhEpHQZhlnCe4V54bgqlPF2ugxW7T7Gwvj9LN1+xH1Pka+3jeuvCqVfiwh6NQ8ntHrl/Qyk4ilWgnTkyBFiYmJITEzEbrfTunVr4uLi6N27NwBjx44lMzOTkSNHkpKSQqdOnfjuu+/ccyABvPnmm/j4+DB48GAyMzPp2bMns2bNcs+BBDBv3jxGjx7trnY3aNAgpk2bVhLHKyJSfiyfBDmnoP510Gyg1dGISGnKzYavRsOWj83lbk/DTX+rtMNqD53M5NMNB/h0w0EOncx0r29T386Qjg0Y0KYuIdV0UUjKp8ueB6m80jwcIlKuJf8K70SD4YIHlkCDzlZHVGL0/Vs0fTZV1GkHLIyBPSvMMt4DpkD7+6yOqsRl57pYtuMIC+IP8NNvR8n/hWkP8OXP7eoxuEMUzSP1716sUSbzIImIyGVY9oKZHF0zoFIlRyJyDsfBvDLe280y3oNnQ5PeVkdVonYnp7Ew/gCfbzrE8Yxs9/ouV9ZmSMco+raIoJqv5imSikMJkohIWdv7P9j1rXkludcLVkcjIqUl8WeYPxjSEitdGe9T2bn89+dEFsYfYMO+FPf6sGB/7uxQn8EdomhYO8jCCEUunRIkEZGyZBiw9O/m8/b3QWgTS8MRkVKye1leGe/0SlPG2zAMfjnkYEH8Ab5MOEx6Vi4A3l42bmwaxl0do+jRtI4mcJUKTwmSiEhZ2r4YDm00h9r0eMbqaESkNGyaY5bxNpx5ZbznQkANq6O6ZCdPZbN48yEWxB/g16Q09/qGtQMZ3CGKO9rXJzykmoURipQsJUgiImUlNxuWvWg+v/4JqB5mbTxSZqZPn8706dNxOp1WhyKlyTDgx4mw0pzbkdZDYNA08PGzNq5L4HIZrN1znIXxB/h2axLZuS4A/Hy8uLllBEM6NqBT41p4eVXOKnxStSlBEhEpKxs/hJQ95r0I0aOsjkbK0KhRoxg1apS7ipJUQrnZ8OXj8PMCc7mClvE+knqazzYe5JMNB9h3/JR7/TURwQy9rgG3tq2HPVDluaVyU4IkIlIWTjvOTA7Z4xnwr25tPCJScjJPwicxsGdlXhnvN6H9cKujumi5ThfLdx5lQfwBftyZjNNl1ueu7u/DoLaR3NUxilb17NgqWLIncqmUIImIlIX//QtOHYfaTaDdvVZHIyIl5eQBs4z30R3gVx3unA1Nelkd1UXZdzyDhfEH+GzjQZLTstzrOzaqyeAOUdzSui6BfvqpKFWP/tWLiJQ2xyFYM9183vtF8NZXr0ilkPizmRylJ0H1CLNSXd3WVkd1XqdznCzZlsSC9QdY88dx9/raQX7c3t4sz31VmHq4pWrTWVpEpLQtnwi5p6FBNDS92epoRKQk/LYMPs0v490sr4x3lNVRFWlHYioL4w+waPMhHJk5gHl71A1N6nBXxyh6NgvHz0fluUVACZKISOk6sh0S5pvPe/+jwt2wLSKF2Dgbvn7SLOPd+AYYPKfclvFe+8dxpi7bxdo/TrjX1asRwJ0d6nNnhyjq1QiwMDqR8kkJkohIaVr2AhguaP4niOpodTQicjkMA354GX563VxufRcMeqtclvFe98dxpi77zT2MztfbRp/mEQzuGEXXq0LxVnlukSIpQRIRKS17VsJvS8DLB3o+b3U0InI5crPhy8fg54Xm8g1j4cZny12vcPzeE7y5dBerfz+TGA3pGMXIHlcRqd4ikYuiBElEpDS4XLD0OfN5hweg9pXWxiMily7zJCy8B/b+ZJbxHvgvuDbG6qg8bNh7gqnLfmPV7mOAmRgN7hDFyBuv0jA6kWJSgiQiUhq2fQ6HN4NfsHmlWUQqpnPLeA+eDVeVnzLeG/elMHXZLn76zUyMfLxs3NkhilE3Xkn9moEWRydSMSlBEhEpablZ8P1L5vOuT0D1OtbGIyKXJnELzBtslvEOrgvDPik3Zbw37U9h6rLfWLnrKJCfGNVnZI+riKqlxEjkcihBEhEpafEz4eQ+c16UziOtjkZELsVvS+GT4ZCTAWEt4O5PwF7f6qhIOHCSN5fuYkVeYuTtZeOOa+vz2E1KjERKihIkEZGSlHkSVk42n9/4LPgFWRqOiFyCDR/Cf5/KK+PdHYbMgWp2S0PacuAkU5ft4sedZxKj26+tx2M3NqFBbSVGIiVJCZKISEla9SZkpkCda6Dt3VZHIyLFYRjwwz/gpzfM5TbDzIIMFpbx/vngSaYu+40ffk0GzMToz+3q8fhNV9Gwti7AiJQGJUgiIiXl5AFY+475vNeL4K2v2Mroz3/+M8uXL6dnz5589tlnVocjJSU3C74YBb98ai53fwZ6PGNZGe9fDjr41/e7WLbDTIy8bHBru3qMvqkJjUKVGImUJp29RURKyo8TwZkFDbvC1X2tjkZKyejRo3nggQeYPXu21aFISclMgYUxZhlvLx+z16jdPZaEsvWQg6nLfmPZjiNAXmLUth6P3XQVV9SpbklMIlWNEiQRkZKQ9Ats+dh83vulcjd5pJScG2+8keXLl1sdhpSUk/th7h1wbKdZln/IR3DlTWUexrbDDv617De+234mMRrUJpLHezbhSiVGImXKy+oAREQqhWUvAAa0uA3qt7c6GinCypUrGThwIJGRkdhsNhYvXlygzdtvv03jxo2pVq0a7du356effir7QKVsHN4MH/Qyk6PgSHggrsyTox2JqTwyZwO3/N8qvtt+BJsN/tQ2ku+e7M7Uu9opORKxgHqQREQu1+8/wu5l4OULPf9udTRyHhkZGbRp04b777+f22+/vcDrCxcuJDY2lrfffpvrr7+e9957j/79+7N9+3YaNGhgQcRSanZ9B5/ed1YZ70/BXq/Mdv9rUir/WvYb325NAsxO5wGtI3mi51VcFRZcZnGISEHF6kGaNGkSHTt2JDg4mLCwMG699VZ27tzp0cYwDF544QUiIyMJCAigR48ebNu2zaNNVlYWjz/+OKGhoQQFBTFo0CAOHjzo0SYlJYWYmBjsdjt2u52YmBhOnjx5aUcpIlJaXC5Y+pz5vOODUOsKa+OR8+rfvz8vv/wyt912W6GvT5kyhREjRvDggw/SrFkzpk6dSlRUFO+8804ZRyqlasOH8PEQMzm6ogc88G2ZJUc7k9IYOW8j/ab+xLdbk/ISo7osib2Bt4a2U3IkUg4UK0FasWIFo0aNYu3atSxdupTc3Fz69OlDRkaGu83kyZOZMmUK06ZNIz4+noiICHr37k1aWpq7TWxsLIsWLWLBggWsWrWK9PR0BgwYgNPpdLcZNmwYCQkJxMXFERcXR0JCAjExMSVwyCIiJWjrZ5D0M/iHwA1/tToauQzZ2dls3LiRPn36eKzv06cPq1evvqRtZmVlkZqa6vEQC7lcsOxF+DoWDJdZiv/uz8pkjqPfjqQxav4m+v1rJd/8YvYa3dKqLnFP3MC0YddydbgSI5HyolhD7OLi4jyWP/zwQ8LCwti4cSM33HADhmEwdepUJkyY4L46N3v2bMLDw5k/fz6PPPIIDoeDmTNnMmfOHHr16gXA3LlziYqKYtmyZfTt25cdO3YQFxfH2rVr6dSpEwDvv/8+0dHR7Ny5k6ZNm5bEsYuIXJ6c0/D9P8znXWMhqLal4cjlOXbsGE6nk/DwcI/14eHhJCUluZf79u3Lpk2byMjIoH79+ixatIiOHTsWus1Jkybx4osvlmrccpFys2DxSPOiBkCPZ6H72FIvqLI7OY1/fb+br38+jGGY6/q3jOCJXk24JiKkVPctIpfmsu5BcjgcANSqVQuAPXv2kJSU5HH1zd/fn+7du7N69WoeeeQRNm7cSE5OjkebyMhIWrZsyerVq+nbty9r1qzBbre7kyOAzp07Y7fbWb16daEJUlZWFllZWe5lXaUTkVIX/z449ps3d3f6i9XRSAmxnfOD2TAMj3VLliy56G2NHz+eMWPGuJdTU1OJioq6/CCleDJTYME9sG+VWcZ70FvQdlip7nJ3cjr/9/1vfHVWYtSvRQSjezaheaQSI5Hy7JITJMMwGDNmDF27dqVly5YA7itshV1927dvn7uNn58fNWvWLNAm//1JSUmEhYUV2GdYWJjHVbyz6SqdiJSpUydg5Wvm85smgF+gtfHIZQsNDcXb27vAeSY5ObnAee1i+fv74+/vXxLhyaVK2Qfz7jQr1fmHwOCP4MobS213uU4Xb/2wm2k/7sbpMjOjPs3DeaJXE1pElv5QPhG5fJdc5vuxxx7j559/5uOPPy7w2oWuvhXm3DaFtT/fdsaPH4/D4XA/Dhw4cDGHISJyaVZNgdMOCGsObYZaHY2UAD8/P9q3b8/SpUs91i9dupQuXbpc1ranT59O8+bNixyKJ6Wk0DLepZcc7TuewZ3vreFf3/+G02XQ85owvn68KzPu7aDkSKQCuaQepMcff5wvv/ySlStXUr9+fff6iIgIwOwBqlu3rnv92VffIiIiyM7OJiUlxaMXKTk52X0CioiI4MiRIwX2e/To0SKv4ukqnYiUmZR9sO4983nvl8DL29p45KKlp6eze/du9/KePXtISEigVq1aNGjQgDFjxhATE0OHDh2Ijo5mxowZ7N+/n0cfffSy9jtq1ChGjRpFamoqdrt+KJeJXUvyynifgvCWMOyTUqtUZxgGn208yAtfbiMj20lwNR9evrUlf2pbdmXDRaTkFKsHyTAMHnvsMT7//HN++OEHGjdu7PF648aNiYiI8Lj6lp2dzYoVK9zJT/v27fH19fVok5iYyNatW91toqOjcTgcrF+/3t1m3bp1OByOy76KJyJy2X58BZzZ0PgGuKqX1dFIMWzYsIF27drRrl07AMaMGUO7du147jmzVPuQIUOYOnUqL730Em3btmXlypV88803NGzY0MqwpbjiZ8LHd5nJ0ZU3wf2lV8b75KlsHpu/mb9+9jMZ2U6ua1yLb5/opuRIpAKzGUb+rYMXNnLkSObPn88XX3zhUSjBbrcTEBAAwKuvvsqkSZP48MMPadKkCRMnTmT58uXs3LmT4GCzhOVf/vIXvv76a2bNmkWtWrV4+umnOX78OBs3bsTb27wS279/fw4fPsx775lXaR9++GEaNmzIV199dVGx5l+lczgchIToZkgRKSGJW+C9G8znDy+HyHaWhlMe6fu3aPpsSpnLBd+/CP+bai63uwcGTAVv31LZ3erfjzFm4RaSUk/j42Xjyd5X82j3K/H2Kt3KeCJSfMX5/i3WELv8ifJ69Ojhsf7DDz/kvvvuA2Ds2LFkZmYycuRIUlJS6NSpE9999507OQJ488038fHxYfDgwWRmZtKzZ09mzZrlTo4A5s2bx+jRo93V7gYNGsS0adOKE66ISMlb+rz5t9WdSo7kok2fPp3p06d7zPcnJSw3Cxb/Bbb+x1y+cYI5N1kplPHOznXxxnc7mfHTHxgGNA4N4l93taV1/Rolvi8RKXvF6kGqSHSVTkRK3O7vYe5t4O0Hj8VDzUZWR1Qu6fu3aPpsSsmpE7DwHtj3v7wy3tOgbekUT9mdnMYTCxLYdticTmTodVH8fUBzAv0ua+YUESllpdaDJCJSZbmcZ3qPOj6k5EikvEjZm1fGe5dZxnvIHLiiR4nvxjAM5q7bzyv/3c7pHBc1A3355+2t6dsiosT3JSLWUoIkInIxfv4EjvwC/na44WmroxERgEObYP5gyDgKIfXg7s8gvHmJ7+ZYehbjPvuZ739NBqBbk1Bev7MN4SHVSnxfImI9JUgiIheSkwk/vGw+7zYGAmtZG49UOLoHqRTs/BY+eyCvjHcruPsTCIks8d38uDOZv366hWPp2fj5eDGu3zXc36URXirEIFJpKUESEbmQde9B6kEIqQ+dHrE6GqmANA9SCVv/Pnw7FgwXXNkTBs8G/+ALv68YTuc4mfTNDmav2QdA0/Bg/jW0LddE6N4xkcpOCZKIyPmcOgE/TTGf3/Q38A2wNh6RqszlgmXPw+r/M5evvRdumVLiZby3H07liQWb+S05HYD7r2/EuH7XUM1Xk0KLVAVKkEREzmfl65DlMIfwtB5sdTQiVVfOabOM97bPzeWb/gbdni7RMt4ul8HMVXt4bclOsp0u6gT78/qdbeh+dZ0S24eIlH9KkEREipKyF9bPMJ/3fhG8dPVYxBKnTsCCYbB/DXj5wp+mQ5shJbqLJMdpnvo0gf/tPg5A7+bh/PO2VtSu7l+i+xGR8k8JkohIUb7/B7hy4Iob4aqeVkcjFZiKNFyGE3vMMt7HfzOrSA6ZA1d0L9FdfPtLIuMX/cLJUzkE+Hrz9wHNGXpdFLZSmGRWRMo/JUgiIoU5tAm2fgbYzN4jkcugIg2X6NBGmD8kr4x3fbjnMwhrVmKbz8jK5cWvtvHJhoMAtKpnZ+pdbbmyTvUS24eIVDxKkEREzmUYsPQ583nrwVC3jbXxiFRFv35jlvHOzYSI1jDsEwipW2KbTzhwktgFm9l7/BQ2G/yl+5XE9roaPx+vEtuHiFRMSpBERM61exns/Qm8/cwbwUWkbJ1dxvuqXnDnrBIr4+10Gbz9426mfv8bTpdBpL0aU4a0pfMVtUtk+yJS8SlBEhE5m8t5pveo0yNQo4G18YhUJS4XLHsOVr9lLpdwGe8DJ07x5MIENuxLAWBA67q8cmsr7IElWyZcRCo2JUgiImfb8jEkb4dqNaDbU1ZHI5WEijRchJzTsOgR2L7YXL7p7+b/gyVUKGHx5kP8ffFW0rJyqe7vw0t/asGf29VTIQYRKUAJkohIvuxT8MMr5vMbnoaAmtbGI5WGijRcwKkT8PFQOLDWLON969slNu+YIzOHvy/eypdbDgPQoWFN3hzSlqhagSWyfRGpfJQgiYjkW/cOpB0GewPo+JDV0YhUDSf+yCvjvdss433XXGh8Q4lset0fxxnzyRYOnczE28vGEz2bMLLHlfh4qxCDiBRNCZKICEDGMfjpTfN5z7+DbzVr4xGpCg5uMMt4nzoG9ii4+9MSKeOd43Qxddku3l7+O4YBDWsHMnVIW9o1UK+wiFyYEiQREYCVr0F2mllOuOUdVkcjUvn9+l/4bMSZMt53fwrBEZe92T+OphO7MIGfDzoAGNyhPs8NbEF1f/3kEZGLo28LEZHjv0P8B+bzPv8ALw2/ESlV696Db8cBBlzVO6+M9+VNzmoYBgviD/DSV9vJzHFiD/Dln7e1on+rkps7SUSqBiVIIiI//ANcueZ8K1f0sDoakcrL5YKlf4c108zl9vfBzW+A9+X9HHG5DJ76dAuLNh8CoMuVtXljcBvq2gMuM2ARqYqUIIlI1XZwI2xbBNig14tWRyOVlMp8AzmZeWW8vzCXez4HXceUSBnvKUt3sWjzIXy9bYztew0jujbGy0vlu0Xk0mgciYhUXYZxZlLYNkMhoqW18UilNWrUKLZv3058fLzVoVgj4zh89CczOfLyhds+KLE5jr5IOMS0H3cD8OrtrXnohiuUHInIZVEPkohUXbuWwL5V4O0PN02wOhqRyunEHzD3DjjxO1Szw5B50LhbiWx6y4GTjP3sZwAeueEKbru2folsV0SqNiVIIlI1OXNh2fPm885/Abt+WImUuAPx8PEQOHXcnF/s7k8h7JoS2fSR1NM8PGcDWbkubromjLH9Sma7IiLFHmK3cuVKBg4cSGRkJDabjcWLF3u8bhgGL7zwApGRkQQEBNCjRw+2bdvm0SYrK4vHH3+c0NBQgoKCGDRoEAcPHvRok5KSQkxMDHa7HbvdTkxMDCdPniz2AYqIFGrdu3D0VwioCV2ftDoakcpnx1cwe4CZHNVtAw8uLbHk6HSOk4fnbORIahZNwqrzr7va4q1hdSJSQoqdIGVkZNCmTRumTZtW6OuTJ09mypQpTJs2jfj4eCIiIujduzdpaWnuNrGxsSxatIgFCxawatUq0tPTGTBggMfNq8OGDSMhIYG4uDji4uJISEggJibmEg5RROQsp07Ap/fDd3lD6m4YCwE1LA1JpNJZ+y4sjIHc09CkD9z3TYnMcQTmhdhn/vMzWw6cpEagLx8M70BwNd8S2baICIDNMAzjkt9ss7Fo0SJuvfVWwPzSioyMJDY2lnHjxgFmb1F4eDivvvoqjzzyCA6Hgzp16jBnzhyGDBkCwOHDh4mKiuKbb76hb9++7Nixg+bNm7N27Vo6deoEwNq1a4mOjubXX3+ladOmF4wtNTUVu92Ow+EgJCTkUg9RRCqTX/8LX8VCRjLYvKHbGOgxHry8rY6sUtH3b9Eq/WfjcsF3f4O1083l9vfDza9fdhnvs729fDeT43bi7WVjzgPX0eWq0BLbtohUXsX5/i3RKnZ79uwhKSmJPn36uNf5+/vTvXt3Vq9eDcDGjRvJycnxaBMZGUnLli3dbdasWYPdbncnRwCdO3fGbre724iIXLTMFPj8EVgwzEyO6lxjDve56W9KjkRKSk4mfHrvmeSo1wsw4M0STY6WbT/Ca0t2AvDCwOZKjkSkVJRokYakpCQAwsPDPdaHh4ezb98+dxs/Pz9q1qxZoE3++5OSkggLCyuw/bCwMHebc2VlZZGVleVeTk1NvfQDEZHKY9cS+OoJSEsEmxd0GW32GvlWszoykcoj4xh8PBQOrgdvP7j1HWh1R4nuYmdSGk8s2IxhwD2dGxAT3ahEty8ikq9UqtjZzpnXwDCMAuvOdW6bwtqfbzuTJk3ixRc1yaOI5DntgLhnIWGuuVy7ifmjLaqjtXFJlVSpJ4o9/jvMu8Ms513NDnfNh0ZdS3QXJzKyefCjeDKynURfUZvnB7Yo0e2LiJytRIfYRUSYN2Ce28uTnJzs7lWKiIggOzublJSU87Y5cuRIge0fPXq0QO9UvvHjx+NwONyPAwcOXPbxiEgFtft7eDs6LzmyQfRj8OhPSo7EMpV2otgD62FmbzM5sjeAEUtLPDnKznXxl7kbOXAikwa1Ann77mvx9dY89yJSekr0G6Zx48ZERESwdOlS97rs7GxWrFhBly5dAGjfvj2+vr4ebRITE9m6dau7TXR0NA6Hg/Xr17vbrFu3DofD4W5zLn9/f0JCQjweIlLFZKWZRRjm3gaph6BmY7j/G+j7CvgGWB2dSOWy/UuYPTCvjHdbeHAZ1LlwEaXiMAyDF77axro9J6ju78MHwztQM8ivRPchInKuYg+xS09PZ/fu3e7lPXv2kJCQQK1atWjQoAGxsbFMnDiRJk2a0KRJEyZOnEhgYCDDhg0DwG63M2LECJ566ilq165NrVq1ePrpp2nVqhW9evUCoFmzZvTr14+HHnqI9957D4CHH36YAQMGXFQFOxGpgv5YAV88Bo795vJ1D5s3ifsFWRqWSKW05m1Y8ixgwNX94PaZ4F+9xHczZ+0+5q/bj80G/7qrLVeHB5f4PkREzlXsBGnDhg3ceOON7uUxY8YAMHz4cGbNmsXYsWPJzMxk5MiRpKSk0KlTJ7777juCg898qb355pv4+PgwePBgMjMz6dmzJ7NmzcLb+0w1qXnz5jF69Gh3tbtBgwYVOfeSiFRh2Rmw9HmIf99crtEA/jQdGt9gbVwilZHLCUsmwLp3zOUOD0D/10q0Ul2+/+0+xotfbQdgXL9r6Nms8CH2IiIl7bLmQSrPKv1cEyIC+1bD4r9Ayl5zucMD0Psl8NdVZivp+7doFfqzycmE/zwIv35tLvd6Ea5/Ai5QhOlS7D2WwZ+m/w9HZg63tavHG4PbXLDYk4jI+RTn+7dUqtiJiJSqnEz4/h+w9m3AgJD68Ke34MqbrI5MpHLKOAYf3wUH40utjHe+1NM5PPjRBhyZObSNqsHE21opORKRMqUESUQqlgPrzV6j43n3Qra7B/pONMsLi0jJO/47zL0dUvZAtRp5ZbyvL5VdOV0Goz/ezO7kdCJCqjEjpj3VfDWZs4iULSVIIlIx5JyG5RNh9VtguCC4Lgz8P7i6j9WRiVRe+9eZPUeZJ8z7++7+D9S5utR292rcryzfeRR/Hy9m3NuesBBN6CwiZU8JkoiUf4c2wqK/wLGd5nKbodBvEgTUtDYukcps+xfw+cOQexoi28GwT6B6WKnt7rONB5mx8g8AXr+zDa3r1yi1fYmInI8SJBEpv3KzYMVkWPUmGE4ICoOBU+GaW6yOTKRyO7eM9x3/LtWS+Rv3pfDs578A8PhNVzGwTWSp7UtE5EKUIIlI+ZS4xew1St5mLre8HW5+HQJrWRuXSGXmcpqJ0bp3zeUOI6D/5FIp453v8MlMHpmzkWyni74twnmyV+kN4RMRuRhKkESkfHHmwE9vwMrXwJULgbXhlinQ4larIxOp3LJPwecPnSnj3fsl6DK6VMp45zuVnctDH23gWHoW10QEM2VwW7y8VLFORKylBElEyo8j22DRo5D0s7ncbJCZHFWvY21cIpdp+vTpTJ8+HafTaXUohUs/ahZjOLTBLOP953fNXttSZBgGf/30Z7YdTqVWkB/v39uBIH/9LBER6+mbSESs58yF/02F5f8EV45ZfOHm180faJr/RCqBUaNGMWrUKPdEheXKsd0w73ZzwuVqNWDox9CwS6nv9v++381/f0nE19vGu/e0J6pWYKnvU0TkYihBEhFrJf9qzmt0eJO53PRmGDAVgsMtDUukSvAo490Q7vkPhDYp9d1++0siby7bBcDLt7bkusa6t1BEyg8lSCJiDZcT1kyDH14BZxb42+HmydB6iHqNRMrCtsVmGW9nFkReC8MWlmoZb/duDzsY88kWAO6/vhFDOjYo9X2KiBSHEiQRKXvHdpu9RgfXm8tX9YZB/wchKu0rUuoMA9ZMh+/+hlnGuz/cMbNUy3jnO5qWxUOzN5CZ46Rbk1Am3Nys1PcpIlJcSpBEpOy4XGb54O9fNCef9As2J3xtd496jUTKgssJceNh/XvmcseHoP+r4OVd6rvOynXy6NyNHHac5orQIKYNvRYfb69S36+ISHEpQRKR0uVywZGtsO9/sPXzM71GV/SAQdOgRpSl4YlUGdmn4D8Pws7/mst9Xobox8rk4oRhGPxt0VY27kshuJoP7w/vgD3Qt9T3KyJyKZQgiUjJcjkh6RczIdq7CvathtMnz7zuGwR9X4b296vXSKSspB+Fj4fAoY3g7Q+3vQct/lxmu5+5ag+fbjyIlw2mD7uWK+tUL7N9i4gUlxIkEbk8zlxz3qK9q8ykaN8ayHJ4tvGrDg06Q8ProdWd6jUSKUvHfoN5d5hlvANqwl0fQ8PoMtv9jzuTmfjNDgAm3NKcG67WvGYiUr4pQRKR4nHmQmKCZ0KUnebZxj8EGkRDo+uhYVeo2wa89XUjUub2r80r451SpmW88+1OTmf0/M24DBjcoT4PXN+ozPYtInKp9ItFRM7PmQOHN5sJ0d5VcGAdZKd7tqlmhwZdzISoUVeIaF0mN32LyHlsWwSfP2KW8a7XHoYuhOpl13vjOJXDQx9tIC0rl46NavKPW1ti07BaEakAlCCJiKfcbHPS1r0/wd7/mQlRzinPNtVqmMPlGnU1k6LwlkqIRMoLwzDnGPvub+Zy01vg9g/AL7DMQsh1uhg1fxN7jmVQr0YA79zTHn8ffUeISMWgBEmkqsvNgoMb8ooq/AQH4iE307NNQK0zw+UadYWw5uCl8rwi5Y7LCXHPwPoZ5vJ1j5il9Mv4AsbL/93Bqt3HCPTz5v17OxBa3b9M9y8icjmUIIlUNTmn4WD8mXuIDsabcxKdLTDUMyGqc40SIpHyLjsjr4z3N+Zyn1cgelSZV4v8eP1+Zq3eC8CUwW1pHhlSpvsXEblcSpBEKrvsUwUTIme2Z5ugsDPD5Rp2hTpNVYJbpCJJT4b5Q8zhsd7+cNsMaHFrmYex7o/j/H3xVgDG9L6afi0jyjwGEZHLpQRJpKLKzYaMo5B+JO9vMmQkm3/Tk8+8dmIPuHI831s94kxC1Kgb1L5KCZHIRfr666956qmncLlcjBs3jgcffNDagI79BnNvh5P7zOGwQz82y+qXsQMnTvGXeZvIdRkMaF2Xx2+6qsxjEBEpCUqQRMqT/KQnI9mc2DH9yDnP8xKh9COek69eSEi9s4oqdIVaVyghErkEubm5jBkzhh9//JGQkBCuvfZabrvtNmrVqmVNQPvWwIKhZhnvmo3g7v9AaNknJulZuTz00QZOZGTTqp6d1+5oo4p1IlJhlfsE6e233+a1114jMTGRFi1aMHXqVLp162Z1WCIXz5lzpjcnPT/5Oft58pnen8yU4m3by8ccHle9Tt7f8LOe5z1qNDDnP9GPlQrB5TLIdRk4XQa5LlfeX4Ncp+ey02WQ4/Rczm+T6zJwOj23k+s0zmzrnGWny0XOOcu5LoOuV4XSs1m41R9JubJ+/XpatGhBvXr1ALj55ptZsmQJQ4cOLftgtn4Oix7NK+PdAYYthKDQMg/D5TJ4cmECvyalUSfYnxn3tifATxXrRKTiKtcJ0sKFC4mNjeXtt9/m+uuv57333qN///5s376dBg0aWB2eVCbOXLNQQf4j57RZyS03C3Ly/uZm5q0/t13+8/z2p/J6gfKSoktKeuqYyc3ZiU7+86A6eYlQmFluu4IUTzAMA8MAp2H+EHe6DJyG4U4IXHnLTpeBywW5Lhcuw8DpwqO902XgMsxkwGWctd55Znse+3AZZ23Hldf+TCKSvy2ny4XTMDySC9dZy/nbzE8gnC7DIznxSFRcxlmJjuuc5XNfP/v9LlyG1f+lzgjw9a50CdLKlSt57bXX2LhxI4mJiSxatIhbb73Vo835LswdPnzYnRwB1K9fn0OHDpXlIZhlvFe/BUv/bi5fMwBue79My3if7Y2lO1m6/Qh+Pl68F9OeuvYAS+IQESkp5TpBmjJlCiNGjHCP7546dSpLlizhnXfeYdKkSRZHV8UYBhgu8y9G3rITXLlmWVnDlffXedbfXHC5zlnnLKSdE8P9MLfncpnvN/K2bbhywenEMPLXu9zbMlxOs+jA2UlKXnJjc/89jS0vkbE5T2PLX+c8jVduFjYjt1Q/PpfNhyz/Wpz2q02mf20y/czHab9anPILJcO3Fhm+tTjlV5tM72Cc2DDyfsS78pIKI83AlWoum+uT8h6Gu53LOPv1M+uc7uX853gkEoaBR8LiMs4kEWe/393Wncicic+zLYXuUy6dt5cNn7yHt5cNH2+vM8veNny8vM56zYa3lxe+5yznty98+axteJvrOzWubfVhl7iMjAzatGnD/fffz+23317g9QtdmDOMgv+Qy3QomcsJ346D+PfN5U6PQt+Jls1D9kXCIab/+DsA/7ytFdc2qGlJHCIiJancJkjZ2dls3LiRZ555xmN9nz59WL16dYH2WVlZZGVluZdTU1Mva/+b3rwde8ZebOSfDM+cFG3uv3nr8k6YNgo5cVLUa4bHdgzAZhTcB2e933NbBjYjf70rr73h0c4LFzbj7PWebWyFrPfK33befrwKOabSYOPsYwYrB2dkGb5k4ctp/MgyzL+n8SULP04beX/Pej0LP/e6LMOPTPw4YQRzlBocM+wcM0I4SXWMzAv19GQDiXmPqsfLZiYBXjbzx7lX3o97b1ve37zX8p/nv2a2A28vL7zP3ob3We3P3sZZy142G77e5jp3cuF19rIX3rYzCUT++wpbNuP2cm/Du9DtmW28vHC3PbuN71ltziQt5l/dz1Ey+vfvT//+/Yt8/UIX5urVq+fRY3Tw4EE6depU5PZK9NyUnQGfjYBd3wI2MzGKHnnp27tMu46kMfaznwF4pPsV3HZtfctiEREpSeU2QTp27BhOp5PwcM/hHeHh4SQlJRVoP2nSJF588cUS2789/Q+udP5RYturKpyGDSdeOPHGiRcuvPKWPZ87Dc91+X9zz113VrtcvM/ahs1jezmGj5mw4Ee2zY8sfMnGjyybH1n4k4Mv2TZ/sm2+5rLNjxybH1k2f3JsvnnL/uTa/DBs5g9YL5v5o9eGefuOe9lmXjH2ylt39rLZNv+HO9Sx2QjPa5P/g9zrrPb5P3zz13vbbB7bPjuO/PeZ28nf97nbwd3W66z9ednOJARnEoQzseYnDvkx5LfJ339+MpC/f++z4jo7ccnfb/428487f5seCU7e9s+0VQIg1rqYC3PXXXcdW7du5dChQ4SEhPDNN9/w3HPPFbnNEj03HdkGu5eBTzWzjHfzP5XMdi/Rkq1JZOW6uK5xLcb2vcbSWERESlK5TZDynfujyTCMQn9IjR8/njFjxriXU1NTiYqKuuT9nuo5iQ2n8q/02c76k//c5vnaWbHm98nYzm3nbmrzaG++B2zYCm1vnNve5mW29fLKa5f/49IGNq+8bdiweeX3y9iweXmd085sa7PZzrTPWzbwMjdD3rZsZ23j7P15++Dl5Q02b2x5f73yfuienVTkfwz5P+B9sOGbf3j5P/Tzjs9G3nvyQ+SsJASbOxz3c85KTvQDW0Quw8VcmPPx8eGNN97gxhtvxOVyMXbsWGrXLnooYomem6Kug9veg5D60KDoXquykps3brZpeDDeXvr+FZHKo9wmSKGhoXh7exfoLUpOTi5w8gLw9/fH39+/xPbfqku/EtuWiIhUHBe6MDdo0CAGDRp0Udsq6XMTLQveNyUiIiWr3Ja/8vPzo3379ixdutRj/dKlS+nSpYtFUYmISGVV3AtzIiJSOZXbBAlgzJgxfPDBB/z73/9mx44dPPnkk+zfv59HH33U6tBERKSSKc0Lc9OnT6d58+Z07NjxsrYjIiKlr9wOsQMYMmQIx48f56WXXiIxMZGWLVvyzTff0LBhQ6tDExGRCig9PZ3du3e7l/fs2UNCQgK1atWiQYMGjBkzhpiYGDp06EB0dDQzZswokQtzo0aNYtSoUaSmpmK32y/3MEREpBSV6wQJYOTIkYwcaV0ZUxERqTw2bNjAjTfe6F7OL6AwfPhwZs2apQtzIiJS/hMkERGRktKjR49CJ3s9W2lcmJs+fTrTp0/H6XSW6HatpLmfRaSyKtf3IImIiFQGo0aNYvv27cTHx1sdSonTDAsiUtkoQRIREREREcmjBElERERERCSPEiQREZFSpjLfIiIVhxIkERGRUlaZ70ESEalsKm0Vu/wqRampqRZHIiJSteR/716oWlxVVJnOTacz0nFlnSLrVHqlOB4RqdyKc26qtAlSWloaAFFRURZHIiJSNaWlpWlS1HNUxnPT5LyHiEhFcDHnJptRSS/xuVwuDh8+THBwMLZLqEGamppKVFQUBw4cICQkpBQirLj02ZyfPp+i6bMpWmX6bAzDIC0tjcjISLy8NJL7bDo3lR59NkXTZ1M0fTbnV5k+n+KcmyptD5KXlxf169e/7O2EhIRU+H8QpUWfzfnp8ymaPpuiVZbPRj1HhdO5qfTpsymaPpui6bM5v8ry+VzsuUmX9kRERERERPIoQRIREREREcmjBKkI/v7+PP/88/j7+1sdSrmjz+b89PkUTZ9N0fTZyMXQv5Oi6bMpmj6boumzOb+q+vlU2iINIiIiIiIixaUeJBERERERkTxKkERERERERPIoQRIREREREcmjBElERERERCSPEqQivP322zRu3Jhq1arRvn17fvrpJ6tDstykSZPo2LEjwcHBhIWFceutt7Jz506rwyqXJk2ahM1mIzY21upQyoVDhw5xzz33ULt2bQIDA2nbti0bN260OizL5ebm8re//Y3GjRsTEBDAFVdcwUsvvYTL5bI6NCmHdF4qnM5NF0/nJk86NxVO5yYlSIVauHAhsbGxTJgwgc2bN9OtWzf69+/P/v37rQ7NUitWrGDUqFGsXbuWpUuXkpubS58+fcjIyLA6tHIlPj6eGTNm0Lp1a6tDKRdSUlK4/vrr8fX15dtvv2X79u288cYb1KhRw+rQLPfqq6/y7rvvMm3aNHbs2MHkyZN57bXXeOutt6wOTcoZnZeKpnPTxdG5yZPOTUXTuUllvgvVqVMnrr32Wt555x33umbNmnHrrbcyadIkCyMrX44ePUpYWBgrVqzghhtusDqcciE9PZ1rr72Wt99+m5dffpm2bdsydepUq8Oy1DPPPMP//vc/Xe0uxIABAwgPD2fmzJnudbfffjuBgYHMmTPHwsikvNF56eLp3FSQzk0F6dxUNJ2b1INUQHZ2Nhs3bqRPnz4e6/v06cPq1astiqp8cjgcANSqVcviSMqPUaNGccstt9CrVy+rQyk3vvzySzp06MCdd95JWFgY7dq14/3337c6rHKha9eufP/99+zatQuALVu2sGrVKm6++WaLI5PyROel4tG5qSCdmwrSualoOjeBj9UBlDfHjh3D6XQSHh7usT48PJykpCSLoip/DMNgzJgxdO3alZYtW1odTrmwYMECNm3aRHx8vNWhlCt//PEH77zzDmPGjOHZZ59l/fr1jB49Gn9/f+69916rw7PUuHHjcDgcXHPNNXh7e+N0OnnllVcYOnSo1aFJOaLz0sXTuakgnZsKp3NT0XRuUoJUJJvN5rFsGEaBdVXZY489xs8//8yqVausDqVcOHDgAE888QTfffcd1apVszqccsXlctGhQwcmTpwIQLt27di2bRvvvPNOlT8JLVy4kLlz5zJ//nxatGhBQkICsbGxREZGMnz4cKvDk3JG56UL07nJk85NRdO5qWg6NylBKiA0NBRvb+8CV+WSk5MLXL2rqh5//HG+/PJLVq5cSf369a0Op1zYuHEjycnJtG/f3r3O6XSycuVKpk2bRlZWFt7e3hZGaJ26devSvHlzj3XNmjXjP//5j0URlR9//etfeeaZZ7jrrrsAaNWqFfv27WPSpElV5iQkF6bz0sXRuakgnZuKpnNT0XRu0j1IBfj5+dG+fXuWLl3qsX7p0qV06dLFoqjKB8MweOyxx/j888/54YcfaNy4sdUhlRs9e/bkl19+ISEhwf3o0KEDd999NwkJCVX2BARw/fXXFyi5u2vXLho2bGhRROXHqVOn8PLy/Br29vauUqVU5cJ0Xjo/nZuKpnNT0XRuKprOTepBKtSYMWOIiYmhQ4cOREdHM2PGDPbv38+jjz5qdWiWGjVqFPPnz+eLL74gODjYfTXTbrcTEBBgcXTWCg4OLjDePSgoiNq1a1f5cfBPPvkkXbp0YeLEiQwePJj169czY8YMZsyYYXVolhs4cCCvvPIKDRo0oEWLFmzevJkpU6bwwAMPWB2alDM6LxVN56ai6dxUNJ2biqZzE2BIoaZPn240bNjQ8PPzM6699lpjxYoVVodkOaDQx4cffmh1aOVS9+7djSeeeMLqMMqFr776ymjZsqXh7+9vXHPNNcaMGTOsDqlcSE1NNZ544gmjQYMGRrVq1YwrrrjCmDBhgpGVlWV1aFIO6bxUOJ2bikfnpjN0biqczk2GoXmQRERERERE8ugeJBERERERkTxKkERERERERPIoQRIREREREcmjBElERERERCSPEiQREREREZE8SpBERERERETyKEESERERERHJowRJREREREQkjxIkERERERGRPEqQRERERERE8ihBEhERERERyaMESUREREREJM//A3ghJV0jdMBaAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(10, 4))\n", "\n", "axes[0].plot(x, x**2, x, np.exp(x))\n", "axes[0].set_title(\"Normal scale\")\n", "\n", "axes[1].plot(x, x**2, x, np.exp(x))\n", "axes[1].set_yscale(\"log\")\n", "axes[1].set_title(\"Logarithmic scale (y)\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Logarithmic scales can also be specified using `semilogx()`, `semilogy()`, or `loglog()`. What are the differences in the figures plotted using `.set_yscale(\"log\")` and `.semilogy()`?\n", "\n", "### Placement of ticks and custom tick labels\n", "\n", "The axis ticks can be explicitly set using with `set_xticks` and `set_yticks`, which both take a list of values for where on the axis the ticks are to be placed. The `set_xticklabels` and `set_yticklabels` methods can be used to provide a list of custom text labels for each tick location:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10, 4))\n", "\n", "ax.plot(x, x**2, x, x**3, lw=2)\n", "\n", "ax.set_xticks([1, 2, 3, 4, 5])\n", "ax.set_xticklabels(\n", " [r\"$\\alpha$\", r\"$\\beta$\", r\"$\\gamma$\", r\"$\\delta$\", r\"$\\epsilon$\"],\n", " fontsize=18,\n", ")\n", "\n", "yticks = [0, 50, 100, 150]\n", "ax.set_yticks(yticks)\n", "# use LaTeX formatted labels\n", "ax.set_yticklabels([\"$%.1f$\" % y for y in yticks], fontsize=18);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are a number of more advanced methods for controlling major and minor tick placement in `matplotlib` figures, such as automatic placement according to different policies. See http://`matplotlib`.org/api/ticker_api.html for details.\n", "\n", "### Axis grid\n", "\n", "With the `grid` method in the axis object, grid lines can be turned on and off. The appearance of the grid lines can also be customized using the same keyword arguments as the `plot` function:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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F2T9KSqBbN1NH1Z/z0aNNBl98YdqzZpl9tLAQOneGM8+EN980j40YAUVF5t8kNO5vxOHDJoNw/Y3o08f8Huv1N2KCRcKi39Cm+tLWv2TR6ye54m/EoUPUm8eyLKu+GycmJjJs2DDWVu11wM0338z69etZt24da9euZcyYMRw4cIBOnTpVb3Pdddexd+9elixZwoIFC7jmmmtqHS0DmDRpEn369OHRRx+t87onOrrWrVs3cnJySEtLq/+7reT3+1m+fDmTJk0iIUE3CTye8rGnbOwpG3sNzqbwEPGPjMRTVojl8VL+o3ehw+nNXmd95efnk5GRQV5eXqP+Boeb2/qmpuTyzDOm45e6lI09ZROa8rHXoGy+eB0Wftcst+0Jcz6E+KTmKq1B8vPzSU9Pr9ff3wad+enUqROnn167Az7ttNN44YUXAMjMzATMEbSaHUx2dnb1EbfMzEzKysrIzc2tdYQtOzub0aNHn/B1k5KSSEqqG25CQkKT/pPV1OdHO+VjT9nYUzb26p3Ne3+EskIAPEO+T0KXM5u5soZx2+/XbX2TiEjUKS+FpbcH25P+1zUDn4Zq0NXexowZw5dV51Erbdu2jR49egDQq1cvMjMza03tKCsrY+XKldWdx9ChQ0lISKi1zcGDB9myZYttByMiEjMOfgIbnzbLSWnwndtDby9R1Tedf36LvVTEUTb2lE1oysdevbP58DHI3WWWe4yF0y5otpqaW4MGPz/72c94//33mTdvHl999RULFizgscceY86cOQB4PB7mzp3LvHnzWLx4MVu2bOEHP/gBPp+P737XnCZLT0/n2muv5ec//zkrVqxg06ZNXHXVVQwcOLD6CjsiIjHJsmDpbVA1n/qcX0LrkxwtKRJEU9/00Uct9lIRR9nYUzahKR979crmWA6s/FNlwwPnRdalrY/XoGlvw4cPZ/HixfzmN7/h97//Pb169eKBBx7gyiuvrN7m1ltvpbi4mBtuuIHc3FxGjhzJsmXLSE1Nrd7m/vvvJz4+nlmzZlFcXMyECRN46qmniIuLC987ExGJNF+8Dl+/Z5bb9oKR1ztbT4SIpr6pIR/ajTXKxp6yCU352KtXNu/Mg9I8szz4SujkrqnYDdWgwQ/A9OnTmT59uu3jHo+HO++8kzvvvNN2m+TkZB588EEefPDBhr68iEh0Ki+FZTUuGTo5cudTOyFa+iYXXD/CtZSNPWUTmvKx963ZHNoKGyrvoZbYGs79n2avqbk1aNqbiIg0kw/+HpxP3fNsONX+P/ISvWrcZkiOo2zsKZvQlI+9kNlUTcW2Kkz77FsgNbNF6mpOGvyIiDit8BtYVWM+9ZTInk8tjVd1Lw6pS9nYUzahKR97IbPZvgx2Vt78KL07nDWnRWpqbhr8iIg47d15UJpvlgdfBZ10O3IREXFQwF95AZ5Kk+6ChGTn6gkjDX5ERJx06DPY8JRZjpL51NJ4/fs7XYF7KRt7yiY05WPPNpv1/4TDX5nlbmdB/4tbrKbmpsGPiIhT6syn/jmkdnS2JnFU69ZOV+BeysaesglN+dg7YTZFR+DdPwTb582PqqnYGvyIiDhl21LY+a5ZbtMdzrrB0XLEeR984HQF7qVs7Cmb0JSPvRNm8+4foOSoWT5zNnQZ0pIlNTsNfkREnFBeBstuD7Yn/T5q5lOLiEiE+uZLM+UNIMEHE37nbD3NQIMfEREn1JxP3X0UnD7D0XLEHaZMcboC91I29pRNaMrHXp1slt4OVsAsj/0ZpHVu8ZqamwY/IiItregIrKyaT+2JuvnU0nhbtjhdgXspG3vKJjTlY69WNtvfgq+Wm+W0rjDqRkdqam4a/IiItLR350NJnlk+czZ0HuxsPeIa+/c7XYF7KRt7yiY05WOvOptAee1LW0+8ExJ9TpTU7DT4ERFpSdlfwPrHzXKUzqeWxmvVyukK3EvZ2FM2oSkfe9XZbHgScr40y12Hw8BLHaupuWnwIyLSkpbVnE99C6R1crYecZXp052uwL2UjT1lE5rysTd9OlCcC+/cE1w5JbqnYmvwIyLSQjxfvQVfvWUaaV1hdHTOp5bGW7TI6QrcS9nYUzahKR97ixYBK/9kBkAAA2dBt+GO1tTc4p0uQEQkFniscuJW3B1cMekuSEhxriAREYl5qWVfwYd/N434FJh4h7MFtQCd+RERaQE9c97Bk7PNNLoOhwGXOFuQuNIppzhdgXspG3vKJjTlY29s0W+hotw0xtwM6V2dLagFaPAjItLcio9y6sEXg+3z/hDV86ml8TIynK7AvZSNPWUTmvKxseMd2hx60yyndoIxP3W2nhaiwY+ISDPzrv4TiYFjpjFwFnQd5mxB4lpr1jhdgXspG3vKJjTlcwLHX9p6wh2QGBuXxdPgR0SkOWV/jvcjc2lrK0bmU4uIiMt99ARkbzXLnQfDGZc7W08L0uBHRKS5+Ivh+R/iqZxPXXHWnJiYTy2NN3Gi0xW4l7Kxp2xCUz7Hyf4clv9PsH3eH8AbO0OC2HmnIiItbent1UfW8pO7UjE6NuZTS+Nt2+Z0Be6lbOwpm9CUTw3+YnjuGigvAeBg12uh+1kOF9WyNPgREWkOW1+BGtPdPup5gy5tLd9qzx6nK3AvZWNP2YSmfGpYeht887lZ7tCf91LuCb19FNLgR0Qk3I7ugVeCNzANTLqbghRNd5Nvl5TkdAXupWzsKZvQlE+lrS+bz/qAuafPpU8QnxJ7B+U0+BERCadAObxwHZTkmfbpM7AGX+1sTRIxZs50ugL3Ujb2lE1oyofKg3I3BdtT/wgdTo3JbDT4EREJp5V/gL3vm+X07nDBX3RPH6m3RYucrsC9lI09ZRNazOcTKIcXfhQ8KNf/YhhiDsrFYjYa/IiIhMuuVbDq/8yyJw4ufRxS2jhakkSWigqnK3AvZWNP2YQW8/m8Ox/2fmCW29Q+KBeL2WjwIyISDscOw4s/BizTPvd26DbC0ZIk8vTp43QF7qVs7Cmb0GI6n50r4b0/m2VPHFzyBCSnVz8ci9lo8CMi0lSWBS/fAAUHTbvXOBjzM2drkojUpYvTFbiXsrGnbEKL2XyO5Rx3UO630G14rU1iMRsNfkREmuqDR2HbErPsy4CZj8XUDeMkfFatcroC91I29pRNaDGZj2XBSzdAYZZp9x4PY+bW2SwWs1HvLCLSFAc/huW/C7YvfhRSM52rR0RE5P1HYPtSs+zLgIv/roNylZSCiEhjlRaaO2UHykx71I3Qd5KzNUlEGz/e6QrcS9nYUzahxVw+BzYfd1Du77YH5WIuGzT4ERFpvDd+CUd2mOVOg2DCHY6WI5FPd6K3p2zsKZvQYiqf0gJ4/odQ4TftUTdC34m2m8dUNpU0+BERaYxPnoWPF5jlxNZw6RMQn+hsTRLxdu50ugL3Ujb2lE1oMZVPzYNynQd/60G5mMqmkgY/IiINdXgHvFbjam7T74f2MXi9UAm7uDinK3AvZWNP2YQWM/l8vBA+fsYsJ6bW66BczGRTgwY/IiINUV5mphSUFZr2md+FM2Y5W5NEjVnalWwpG3vKJrSYyOfwDnjtlmB7+v3Qrve3Pi0msjmOBj8iIg2x4i44uNkstz8Zpv3J0XIkurzwgtMVuJeysadsQov6fMpL4flrwH/MtAddCWdcVq+nRn02J6DBj4hIfW1fDuseMstxiWZKQVJrZ2uSqFJW5nQF7qVs7Cmb0KI+n7fuMrddAGjfF6beW++nRn02J6DBj4hIfRRkweKfBNuTfg+dznSuHolKPXo4XYF7KRt7yia0qM5n2zJ4/29muREH5aI6Gxsa/IiIfJuKCnjxx1CUY9r9zoORPwn9HJFG6KPrZthSNvaUTWhRm0/+QXip5kG5/4VOZzToR0RtNiFo8CMi8m3W3A+7Vprl1E5w0cPg8Thbk0Slt992ugL3Ujb2lE1oUZlPRQAW/xiKDpt2v6kw8voG/5iozOZbaPAjIhLK3g/h7XsqGx6Y+Q9o1d7RkkREJMatvh92rTLLqZ3hor/poFw9afAjImKn+Cg8fy1YAdM+55fQ62xHS5LoNnas0xW4l7Kxp2xCi7p89nwA78wzyx4vXNL4g3JRl009aPAjInIilgWv/hTy9ph291Ew7lfO1iRRLzvb6QrcS9nYUzahRVU+xUfhhR/VPijXs/EjmKjKpp40+BEROZGN/4KtL5nl5DZmultcvJMVSQzYts3pCtxL2dhTNqFFTT6WBa/eXOOg3Gg459Ym/cioyaYBNPgRETle9ufw5q+D7YsegjbdnKtHRERkw1Ow9WWznNzGTHfTQbkG0+BHRKQmfzE8dw2UF5v2sGvhtAucrUlixuzZTlfgXsrGnrIJLSryObQVltQ8KPc3SO/a5B8bFdk0kAY/IiI1Lb0NvvncLHfoD1PuCb29SBi99JLTFbiXsrGnbEKL+HzKiuD5H0J5iWkP/xGcNj0sPzris2kEDX5ERKpsfRk+esIsx6eYO2UnpDhbk8SU4mKnK3AvZWNP2YQW8fkcf1Bu8t1h+9ERn00jNGnwM3/+fDweD3Pnzq1eZ1kWd955J507dyYlJYXx48fz2Wef1XpeaWkpN910ExkZGbRq1YoLL7yQffv2NaUUEZGmOboHXrkp2J76R+hwqnP1SKNEer/UtemzWKKWsrGnbEKL6Hy2vgwbnjTLCT647MmwHpSL6GwaqdGDn/Xr1/PYY49xxhln1Fp/7733ct999/HQQw+xfv16MjMzmTRpEgUFBdXbzJ07l8WLF7Nw4UJWr15NYWEh06dPJxAINP6diIg0VqAcXrgOSvJMu//FMORqZ2uSBouGfun001v05SKKsrGnbEKL2HxOdFDupFPC+hIRm00TNGrwU1hYyJVXXsk//vEP2rZtW73esiweeOABbr/9dmbOnMmAAQP417/+RVFREQsWLAAgLy+Pxx9/nD//+c9MnDiRwYMH85///IdPP/2Ut956KzzvSkSkIVb+Afa+b5bbdIcL/qI7ZUeYaOmXli1r0ZeLKMrGnrIJLSLzCZSb+/lUH5SbCYO/F/aXichsmqhR18ebM2cO559/PhMnTuTuu4PzDnft2kVWVhaTJ0+uXpeUlMS4ceNYu3Yt119/PRs2bMDv99fapnPnzgwYMIC1a9cyZcqUOq9XWlpKaWlpdTs/Px8Av9+P3+9vcP1Vz2nMc2OB8rGnbOxFajaer98jbtX/4QEsTxyBGY9hxfkgjO8jUrOx48b30dL9Etj3TSIiTfbufNj7gVlu0wMueEAH5cKkwYOfhQsXsnHjRtavX1/nsaysLAA6duxYa33Hjh3ZvXt39TaJiYm1jsxVbVP1/OPNnz+fu+66q876ZcuW4fP5GvoWqi1fvrzRz40FyseesrEXSdkklhcw/ovfEo8FwOeZM9n+cTZ8/EazvF4kZRNKUVGR0yXU4kS/BPZ903PPgc8HM2fCihWQlwcdOsCIEfDaa2abIUOgogI2bzbtiy6C1avhm29g6VI455zgVZjOOAMSEmDDBtM+/3z46CM4dAjS0mDyZHj+efNY//7QujV8UPl/pilTYMsW2L8fWrWC6dNh0SLz2CmnQEYGrFlj2hMnmhse7tkDSUmm/kWLTJ19+kCXLrBqldl2/Hiz3c6dEBcHs2bBCy9AWRn06GG2f/tts+3YseYu8lU3U5w927y34mLzeYPTTw8efR41yuS1datpX3YZLFkCVTMU8/Lgjcp/nsOHQ0kJfPqpaV98Mbz7LuTmmvc1ahS8+qp5bPBg833TJvP9ggtg3TrIyYG2bc37WbzYPDZwICQnQ9XuNG0abNwIWVmQmgrnnWd+x2BqT083PwvM72LrVti3D1JSYMYMeOYZ81i/fmY/WL3atM89F3bsgN27ITERLrkEnn0WAgHo3Ru6dzfvB8z+sH+/2d7rhcsvhxdfhNJSs12/fsHXGTPGvK8vvzTtyy83+92xY+Z3OGCA2ccARo6EwkKo+gjcpZea30V+PnTsCMOGweuvm8eGDjXHhD75xLRnzDD7w5Ej0L69+T2/XHkLmkGDTJ0bN5r29Onw4YdmP0hPhwkTTP1g6vH5zOMAU6fCxx/DgQNmX542zeQCcOqp0K4drF1r2pMmwRdfwN695nd28cWwcKG5F2jfvpCZCe+9Z/5dZWXB11/Drl0QH2/2reeeg/Jy6NULevaEd94xP/fss83227eb8cYVV5j9o6QEunUzdVT9OR892mTwxRemPWuW2UcLC6FzZzjzTHjzTfPYiBFQVGT+TYL934iOx1bynX1/xgNUEM9baU8wtiKd1cvg8GGTQbj+Rpx2mvk9RvrfiEOHqDePZVlWfTfeu3cvw4YNY9myZZx55pmVb248gwYN4oEHHmDt2rWMGTOGAwcO0KlTp+rnXXfddezdu5clS5awYMECrrnmmlpHywAmTZpEnz59ePTRR+u87omOrnXr1o2cnBzS0tLq/24r+f1+li9fzqRJk0hISGjw86Od8rGnbOxFXDaWRdyzV+L9yvxFreg1jsDs58AT/otgRlw23yI/P5+MjAzy8vIa9Tc4nJzql8C+b2pKLh9/bP6zJHUpG3vKJrSIyudYDjwyBgorD7xMvBPG/qzZXi6isgkhPz+f9PT0ev39bdCZnw0bNpCdnc3QoUOr1wUCAVatWsVDDz3El5WHGbKysmp1MtnZ2dVH3TIzMykrKyM3N7fWUbbs7GxGjx59wtdNSkoiKSmpzvqEhIQm/Ueiqc+PdsrHnrKxFzHZvP8IVA588GXgnfkY3sS6f2fCKWKy+RZueg9O9Utg3zc1xdat0fEfkeagbOwpm9AiJh/Lgpf+X3Dg0/s7MPqnzfqSEZNNGDXoEOeECRP49NNP2bx5c/XXsGHDuPLKK9m8eTO9e/cmMzOz1tSOsrIyVq5cWd2BDB06lISEhFrbHDx4kC1btoTsZEREwubAZlj2P8H2xX+H1EzHypHGU78kIlHj/Ydhe+VBuVYnmb7Jq1tyhluDzvykpqYyYMCAWutatWpF+/btq9fPnTuXefPm0bdvX/r27cu8efPw+Xx897vfBSA9PZ1rr72Wn//857Rv35527drxi1/8goEDBzJx4sQwvS0RERulBeZO2RWVH9offRP01d+eSBVt/dJll7Xoy0UUZWNP2YQWEfkc2ATL7wi2L34UUjvabx8mEZFNmDXqam+h3HrrrRQXF3PDDTeQm5vLyJEjWbZsGampqdXb3H///cTHxzNr1iyKi4uZMGECTz31FHFxceEuR0Sktjd+CUd2mOXOQ+Dc3zlbjzS7SOqXliwxHziWupSNPWUTmuvzqXNQ7mY4uWUOvLg+m2bQ5MHPu1WXIqnk8Xi48847ufPOO22fk5yczIMPPsiDDz7Y1JcXEam/jxfBx5WXREpMhUsfh/hEZ2uSsIvkfqnGfVflOMrGnrIJzfX5vP4LOLLTLHceAuf+T+jtw8j12TQDTSQUkdhweAe8fkuwPf1+aNfbuXpETiBTHz2zpWzsKZvQXJ3Pxwvhk4VmOTEVLn2iRQ/KuTqbZqLBj4hEv/IyM6WgrNC0B10JZ8TgRGdxvSFDnK7AvZSNPWUTmmvzObwDXqtxUO6CB6BdrxYtwbXZNCMNfkQk+q24Cw5uNsvt+8LUex0tR8RO1Q08pS5lY0/ZhObKfMpL4flrwH/MtAddBQMvbfEyXJlNM9PgR0Si2/blsO4hsxyXaKYUJLV2tiYREYltb90FBz82y+37wjQdlGspGvyISPQqyILFPwm2J/0vdDrDuXpEvsXw4U5X4F7Kxp6yCc11+WxbBu//zSxXHZRLbOVIKa7LpgVo8CMi0amiAl78MRTlmHa/qTDyemdrEvkWJSVOV+BeysaesgnNVfnkH4SXahyUm3y3owflXJVNC9HgR0Si05r7YddKs5zaGS76G3g8ztYk8i0+/dTpCtxL2dhTNqG5Jp+KACz+MRQdNu1TpsGIHztakmuyaUEa/IhI9NnzAbx9j1n2eOGSf0Cr9s7WJCIisW31fbBrlVlO66KDcg7R4EdEosvhHfDs1WAFTPucX0LPsc7WJFJPF1/sdAXupWzsKZvQXJHPZy/BO/PMsscLM/8BvnaOlgQuyaaFafAjItEj92v41wVQmGXa3UfDObc6WpJIQ7z7rtMVuJeysadsQnM8ny9ehxeuBavCtM+5FXqOcbamSo5n4wANfkQkOhzdawY++ftNu0N/uOK/EBfvbF0iDZCb63QF7qVs7Cmb0BzNZ/tyePb7UFFu2oOvgnG/crCg2mJx39HgR0QiX/5BM/A5use0M06Bq192xZQCkYbIyHC6AvdSNvaUTWiO5bPjHVh4JVT4TfuMy+GCv4LXPf/9jsV9xz3pi4g0RmE2/PtCyN1l2u36wPdfgdYnOVuXSCOMGuV0Be6lbOwpm9Acyefr1fDMbAiUmvbpM+Cih8Eb50Ax9mJx39HgR0Qi17HD8O+LIGebabfpAd9/FVIzna1LpJFefdXpCtxL2dhTNqG1eD57PoD/zoLyYtM+dTpc8k9XTsOOxX1Hgx8RiUxFR+DpiyB7q2mndzMDn/QuztYlIiKxa/8G+O+l4D9m2n0nw6VPQFyCs3VJNQ1+RCTylOTBf2ZCVuXd2VI7malubXs4W5dIEw0e7HQF7qVs7Cmb0Fosn4Mfw9MXQ2m+aff+Dsx6GuKTWqiAhovFfUeDHxGJLKUF8J9L4cAm027VwZzxadfb2bpERCR2HfoM/j3DHJwD6Hk2XLEAEpIdLUvq0uBHRCJH2TFYcDns+9C0fe3NGZ+Mvs7WJRImmzY5XYF7KRt7yia0Zs/nm23m86fFR0y721kweyEk+pr5hZsuFvcdDX5EJDL4i82Vc3avMe3kNuZy1h1Oc7QsERGJYYd3mFstHPvGtLsMhSufg6TWztYltjT4ERH3Ky+FRVfBrpWmnZQG31sMmQOdrUskzC64wOkK3EvZ2FM2oTVbPrlfm4FPYZZpZ54BV70AyWnN9ILhF4v7jgY/IuJu5WXw3A/gq7dMO7E1XPUidBniaFkizWHdOqcrcC9lY0/ZhNYs+RzdawY++ftNu0N/MxshpW0zvFjzicV9R4MfEXGvQDm8cC18+YZpJ/jMdIJuw52tS6SZ5OQ4XYF7KRt7yia0sOeTf9AMfI7uMe2MU8zAx9cuzC/U/GJx39HgR0TcqSIAi6+Hz18x7fhk8wHSHqOdrUukGbWNrIPGLUrZ2FM2oYU1n8Js+PeFkLvLtNv1MRfeaX1SGF+k5cTivqPBj4i4T0UFvHITbHnetOMS4Yr/Qu9xztYl0szGj3e6AvdSNvaUTWhhy+fYYXNVt5xtpt2mh7nVQmpmmF6g5cXivqPBj4i4i2XB6z+Dzf81bW88zPo3nDzR2bpEWsDixU5X4F7Kxp6yCS0s+RQdgacvguytpp3ezQx80ruE4Yc7Jxb3HQ1+RMQ9LAvevBU2PGXanji49Ek4ZaqjZYmISAwryYP/zISsT007tZOZ6ta2h7N1SaNo8CMi7mBZsOy38OFjpu3xwszH4PQLna1LpAUN1NXbbSkbe8omtCblU1oA/7kEDlTeDbRVB3PGp13vsNTmtFjcdzT4ERHnWRas+D2se6hyhQcuehgGXupoWSItLTnZ6QrcS9nYUzahNTqfsmPw31mwb71p+9qbMz4ZfcNWm9Nicd/R4EdEnLfyj7D6vmD7gr/AoNnO1SPikPXrna7AvZSNPWUTWqPy8RfDM1fAnrWmndzGXM66w2nhLM1xsbjvaPAjIs567z54d36wPe3/YOj3natHRERiW3kpLLoKdq0y7aQ0+N5iyIzBOWJRSIMfEXHOur/BiruC7SnzYMR1ztUj4rBp05yuwL2UjT1lE1qD8ikvg2e/D1+9ZdqJreGqF6HLkGapzWmxuO9o8CMizvjwH7D0tmB7wh0wao5z9Yi4wMaNTlfgXsrGnrIJrd75BMrhhWth25umneCDK5+DbsObrTanxeK+o8GPiLS8DU/BG78Itsf/Bs6+xbFyRNwiK8vpCtxL2dhTNqHVK5+KACz+MXz+imnHJ8PshdBjdLPW5rRY3Hc0+BGRlrV5Abw6N9geewuM+5Vj5Yi4SWqq0xW4l7Kxp2xC+9Z8Kirg5RthywumHZcIV/wXeo9r9tqcFov7jgY/ItJyPn0eXp4DWKY96kaY8DvweBwtS8QtzjvP6QrcS9nYUzahhcynogJemwsfLzBtbzzM+jecPLElSnNcLO47GvyISMvY+jK8+GOwKkx7xI9h8t0a+IjU8NxzTlfgXsrGnrIJzTYfy4I3b4WN/zJtTxxc+iScMrXFanNaLO47GvyISPP78k14/odgBUx7yPfhvD9q4CMiIs6wLFj2W1j/D9P2eGHmY3D6hc7WJc1Ogx8RaV7b34Jnr4aKctM+87sw/QHw6s+PyPFOP93pCtxL2dhTNqHVyceyYMXvYd1DlSs8cNHDMPDSli7NcbG47+h/HyLSfHa+C4uuhECZaQ+4FC56SAMfERvp6U5X4F7Kxp6yCa1OPiv/CKvvC7Yv+AsMmt2iNblFLO47+h+IiDSP3WvhmdlQXmLap10IF/8dvHHO1iXiYuvWOV2Beykbe8omtFr5vHcfvDs/2J72fzD0+y1ek1vE4r6jwY+IhN/eD+G/l4G/yLT7TYVLHoe4eGfrEhGR2LXub7DirmB7yjwYcZ1z9Ygj9D8REQkrz4FNsOASKCs0K06eCLP+BfGJzhYmEgEmT3a6AvdSNvaUTWiTJwMf/gOW3hZcOeEOGDXHsZrcIhb3HZ35EZGwSSvaTdwzl0FpvlnRaxxc/h+IT3K2MJEIsXWr0xW4l7Kxp2xCO7L8KXjjF8EV438DZ9/iWD1uEov7js78iEh4ZH/O6B334ikvMO3uo2H2M5CQ4mxdIhFk3z6nK3AvZWNP2YSweQEnfzE32B57C4z7lWPluE0s7jsa/IhI0x3YRPyCWcGBT9cRcOWzkNjK2bpEIkyKjhXYUjb2lM0JWBZs/De8NhcPllk36kaY8DvdY66GWNx3NPgRkcazLHj/EVj+OzwVfgAqOg3Ce9XzkJTqcHEikWfGDKcrcC9lY0/ZHKe0AF67BT59NrhuxI9h8t0a+BwnFvedBn3mZ/78+QwfPpzU1FQ6dOjAjBkz+PLLL2ttY1kWd955J507dyYlJYXx48fz2Wef1dqmtLSUm266iYyMDFq1asWFF17Ivlg87yYSyY4dhmeugKW/gcqBzxFfHwKzn4PkGLxxgDgmmvqmZ55p0ZeLKMrGnrKp4cBm+Ps5tQY+X7a5Hs77owY+JxCL+06DBj8rV65kzpw5vP/++yxfvpzy8nImT57MsWPHqre59957ue+++3jooYdYv349mZmZTJo0iYKCgupt5s6dy+LFi1m4cCGrV6+msLCQ6dOnEwgEwvfORKT5fL0GHh0L25ZUrwqcNYfVfW+HlLYOFiaxSH2TiJiZCI/C45PgyE6zLjEVLn2CjR3v1c21JchqguzsbAuwVq5caVmWZVVUVFiZmZnWH/7wh+ptSkpKrPT0dOvRRx+1LMuyjh49aiUkJFgLFy6s3mb//v2W1+u1lixZUq/XzcvLswArLy+vUXWXlZVZL730klVWVtao50c75WMv5rMJlFvWO3+wrDvbWNYdaebrj70sa9syZRNCtGXT1L/BzS1S+ybLsqyPPmr0U6OesrEX89kcO2xZC64I9kt3pFnW38dZ1uEdlmUpn1CiJZuG/P1t0md+8vLyAGjXrh0Au3btIisri8k1LhqelJTEuHHjWLt2Lddffz0bNmzA7/fX2qZz584MGDCAtWvXMmXKlDqvU1paSmlpaXU7P99cRtfv9+P3+xtcd9VzGvPcWKB87MV0NgUHiXv5J3h3r6leVdFjLIGLHoHUTrGdzbeItmzc/j6c7puaokOHJv+IqKVs7MV0NrvXwQvXQv7+4LpRN5r7+FTeXy6m8/kWsZhNowc/lmVxyy23MHbsWAYMGABAVlYWAB07dqy1bceOHdm9e3f1NomJibRt27bONlXPP978+fO566676qxftmwZPp+vsW+B5cuXN/q5sUD52Iu1bDrkfcyQPY+RUHk1NwsPX3S6mG1tL4T3NgGbqreNtWwaIlqyKSoqcroEW27om557Dnw+mDkTVqyAvDzzH4wRI+C118w2Q4ZARQVs3mzaF10Eq1fDq6/C9Olwzjnw0kvmsTPOgIQE2LDBtM8/Hz76CA4dgrQ0c5PC5583j/XvD61bwwcfmPaUKbBlC+zfD61amZ+9aJF57JRTICMD1lQez5g4EbZtgz17ICnJ1L9okamzTx/o0gVWrTLbjh9vttu5E+LiYNYseOEFKCuDHj3M9m+/bbYdOxays83PBpg927y34mLo2hVOPx2WLTOPjRpl8qq698hll8GSJVBQAJ99Br/8Jbzxhnls+HAoKYFPPzXtiy+Gd9+F3FzzvkaNMnkCDB5svm+q/FN1wQWwbh3k5EDbtub9LF5sHhs4EJKTYf160542DTZuhKwsSE2F884zv2Mwtaenm58F5nexdau5fHBKivkwedVnKvr1M/vB6tWmfe65sGMH7N4NiYlwySXw7LMQCEDv3tC9u3k/YPaH/fvN9l4vXH45vPgilJaa7bZsMfsCwJgx5n1Vfezt8svNfnfsmPkdDhgAS5eax0aOhMJCky3ApZea30V+PnTsCMOGweuvm8eGDgW/Hz75xLRnzDD7w5Ej0L69+T2//LJ5bNAgU+fGjaY9fTp8+KHZD9LTYcIEUz+Yenw+8zjA1Knw8cdw4IDZl6dNM7kAnHoqtGsHa9eCxwpwQdv78H0wDw8VZoOUdqxs/ygHjkyh72bIzIT33jPb3347fP017NoF8fFm33ruOSgvh169oGdPeOcd82POPtv8vrdvNx8TuuIKs3+UlEC3bqaOqj/no0ebDL74wrRnzTL7aGEhdO4MZ54Jb75pHhsxAoqKzO8LGvc34vBhk0G4/kYUFpq/BZH+N+LQIerNY1mWVf/Ng+bMmcPrr7/O6tWr6dq1KwBr165lzJgxHDhwgE6dOlVve91117F3716WLFnCggULuOaaa2odLQOYNGkSffr04dFHH63zWic6utatWzdycnJIq/rX3gB+v5/ly5czadIkEhISGvz8aKd87MVcNoEyvO/cTdwHD1evslI7EZjxGFb3UbU2jblsGiDassnPzycjI4O8vLxG/Q1uTm7om5qSyzPPmI5f6lI29mIum4IsePE62LUquK7HWLjkH5DWuc7mMZdPA0RLNvn5+aSnp9fr72+jzvzcdNNNvPLKK6xataq6cwHIzMwEzBG0mh1MdnZ29RG3zMxMysrKyM3NrXWELTs7m9GjR5/w9ZKSkkhKqnuH+ISEhCb9R6Kpz492ysdeTGRzZJeZSrB/Q3Bdv6l4ZjxMvK+d7dNiIptGipZs3Poe3NI3NcW554b1x0UVZWMvprLZ/hYsvh6Kckzb44VzboVxt4I37oRPial8GigWs2nQpS8sy+LGG2/kxRdf5O2336ZXr161Hu/VqxeZmZm1pnaUlZWxcuXK6s5j6NChJCQk1Nrm4MGDbNmyxbaDEZEWtuVFc6nQqoGPNwHO+wPMfgZCDHxEnBBNfdOOHS32UhFH2diLiWwCflj+O/jvJcGBT2onuPoV+M5vbAc+ECP5NFIsZtOgMz9z5sxhwYIFvPzyy6SmplbPg05PTyclJQWPx8PcuXOZN28effv2pW/fvsybNw+fz8d3v/vd6m2vvfZafv7zn9O+fXvatWvHL37xCwYOHMjEiRPD/w5FpP7Kisx9ezY8FVzXthdc9iR0HuxYWSKhRFPftHu3+QyB1KVs7EV9Nrlfw/PXwv6Pguv6ToYZj0CrjG99etTn0wSxmE2DBj+PPPIIAOPHj6+1/sknn+QHP/gBALfeeivFxcXccMMN5ObmMnLkSJYtW0ZqavBu7/fffz/x8fHMmjWL4uJiJkyYwFNPPUVcnP2oXUSaWfYX8NwP4JvPg+sGXgbn3wfJ7vpch0hN0dQ3JSa22EtFHGVjL6qz+ewleOVmKDVXccSbABPvhLNuqPe9e6I6nyaKxWwafcEDJzXkQ00n4vf7eeONN5g2bZpr5647SfnYi8psLAs2PQ1v3ArlxWZdfApM+xMMvqred8SOymzCJNqyaerf4GilXETCyF8MS2+Dj54IrmvbEy59AroMdawscaeG/P3V7W5FYllJvrmowSs3BQc+HU6H61fCkO/Ve+AjIuFRdUlfqUvZ2Iu6bL75Ev4xofbAp/9MuH5VowY+UZdPGMViNk26yamIRLD9G+H5H0LuruC6YT+EKfMgIcW5ukRiWCDgdAXupWzsRU02lgWb/wtv/BL8lfcTi0+BqX+EIVc3+oBc1OTTDGIxGw1+RGKNZcH7j5ir5lT4zbqkNLjwr9D/YmdrE4lxvXs7XYF7KRt7UZFNaQG8dgt8WuNUxEmnmQvudDitST86KvJpJrGYjQY/IrHk2GF4+QbYtiS4rstQM4e6bU/HyhIRo3t3pytwL2VjL+KzObAZnr8GjuwMrhvyfXOLhURfk398xOfTjGIxG33mRyRWfL0GHh1be+Az+mb44VINfERc4t13na7AvZSNvYjNxrLg/Ufh8UnBgU9Smjkgd+FfwzLwgQjOpwXEYjY68yMS7SoCsOr/YOUfwKow63wZcPHfoa/urSUiIg4oOgIvz4Ev3wiu6zwYLn0S2vWyf55IE2nwIxLN8g/Ci9fB1+8F1/U8G2b+A9I6OVeXiJzQOec4XYF7KRt7EZfN7rXwwo8gf39w3agbYcIdEB/+G89EXD4tKBaz0bQ3kWi1fTk8OiY48PF44Tu/hatf1sBHxKX27//2bWKVsrEXMdlUBGDln+Cp84MDn5R28N1nYco9zTLwgQjKxwGxmI0GPyLRprwMlt4O/70Uig6bdWld4Aevw7hfgrfl7lYvIg2zY4fTFbiXsrEXEdkUZMHTM+Cdu4NTsHuMhf+3BvpNadaXjoh8HBKL2Wjam0g0ObLL3LvnwMbgulOmwUV/A1875+oSkXrx6pCkLWVjz/XZbH8LFl8PRTmm7fHCuF/BOS1zQM71+TgoFrPR4EckWmx5EV79KZTmm7Y3ASb/L4z8SaNvDCciLevyy52uwL2UjT3XZhPww9v/C2v+ElyX2gku+Sf0HNtiZbg2HxeIxWxicLwnEmXKiuCVm809EqoGPu16w4+Ww1n/TwMfkQjy4otOV+BeysaeK7PJ/RqeOK/2wKfvFPjJmhYd+IBL83GJWMxGZ35EIln25/DcNfDN58F1Ay+D6fdDUqpzdYlIo5SWOl2Beykbe67L5rOXzEG50jzT9ibAxDth1BxHDsi5Lh8XicVsNPgRiUTlZbDhSVh+B5QXm3UJPpj2Jxh0pc72iESoWLzben0pG3uuyabwG3NBgw1PBde17WluWtplqFNVuScfF4rFbDT4EYkk5aWw8d+w+gHI3xdc36E/XPYknHSKY6WJSNP16+d0Be6lbOw5nk3BIVj7V/joCfAXBdf3nwkXPADJ6Y6VBi7Ix8ViMRt95kckEvhL4IO/w18GwRu/qD3wGfZDuG6FBj4iUeCtt5yuwL2UjT3Hssk/CG/+Gv5yBqx7KDjwiU+BC/5qzvg4PPAB7TuhxGI2OvMj4mZlRWb6wJq/QGFW7cf6nQfn3ApdnZtKICIiMShvP6x5ADb8CwI1PjQSnwxDfwBjfgppnZ2qTiQkDX5E3KjsmJk+sOavcCy79mOnnG9uVtp5sDO1iUizGTPG6QrcS9nYa7Fsju6F1ffDpqchUBZcH59iZiGMuRlSM1uomPrTvmMvFrPR4EfETUoLYf0/Ye2DwZvBVTntAnOmp9MZztQmIs0uJyc2P4BcH8rGXrNnk7sbVt8Hm/4LFf7g+gQfDP8RjL4JWndoxgKaRvuOvVjMRoMfETcoyYf1/4C1D0HxkRoPeOD0i2DcrdCxv2PliUjL+PJLGDLE6SrcSdnYa7ZsjuyC9/4MHz8DFeXB9YmtYcR1MOpGaJXRDC8cXtp37MViNhr8iDipJM9cyGDd36DkaI0HPDDgEjjnF9DhNKeqExGRWHR4R+WgZyFYgeD6xFQYeb25X4+vnXP1iTSBBj8iTijOhfcfhfcfCd4EDsDjNTcpPfsXcFIMXn9SJMZdfrnTFbiXsrEXtmxytsOq/4NPnwWrIrg+KR3O+gmc9f8gpW2YXqzlaN+xF4vZ6FLXIi2p6Ai8fTc8cAas/ENw4OOJgzO/C3PWw8zHNPARiVGvveZ0Be6lbOw1OZvsL+D5a+Gh4fDJwuDAJzkdxt8Gcz+B79wWkQMf0L4TSixmozM/Ii3h2GFzD4QPH4OywuB6bzyceQWMvQXa93GuPhFxhWPHnK7AvZSNvUZnc2grrLoXPnsJsILrU9qaz/OM+DEkp4WhQmdp37EXi9lo8CPSnAq/gXUPwof/BH+NvzDeeBh0JZx9C7Tt6Vh5IuIuXbo4XYF7KRt7Dc4m61NYeS98/krt9b725sptw38ESalhq89p2nfsxWI2GvyINIeCQ7D2r7D+cSgvDq73JsCQ78HYn0GbGLu2pLiGZVkUlJaTlpzgdClynAEDnK7AvZSNvXpnc2AzrPoTfHHcXKdWJ8Hom829epJah7s8x2nfseembAIVFiX+AK2Smnd4osGPSDjlH4Q1f4ENT0J5SXB9XCIM+T6MnQvpXR0rT2JHoMLiYF4xew4XsftIEV8fPmaWDxex50gR6SkJrPn1uU6XKcdZuhRmz3a6CndSNva+NZv9G2Dln2Dbm7XXt+4IY34KQ6+BRF+z1ugk7Tv2WjqbEn+AfbmmL6rqj6r6p325xcwc0oU/XNK89zPU4EckHPL2w5oHYMO/IFAaXB+fbDqVMTdDWmfHypPoVFoeYO+RYvYcOcbXOaYT2X34GLuPFLHvSDFlgQrb5x4rK6e0PEBSfFwLViwiLWrfR/DuH+Cr5bXXp3aCMXNh6PchIcWR0iR65Zf4qw+27T5yjN055vuew0UczC/Bsuyfu/twUbPXp8GPSFMc3Qur74dNT0OgLLg+PgWGX2vmTqdmOlefRLzjO5E9h4NHyb6tEzmROK+HLm1S6NHeR0FJOUmtNfhxk5Ejna7AvZSNvTrZ7PnAXFF0x9u116d1MdOuB38PEpJbrD6nad+x15hsLMvim8LSYN9UedCt6kzOkWNl3/5DjpOc4KVHu1b0zGjV8IIaSIMfkcY4ugfe/yts+i9U+IPrE3zmg6Kjb4LWHZyrTyJGnU6k6uxNGDqR7u199Gjno0d7Hz3at6JHex+d26SQEKe7HLhVYeG3bxOrlI296mx2rzVnenatrL1BerfKQc9VEJ/U4vU5TfuOPbtsygMVHMwrYXfVAbfj+qaissCJnxhCG19CZZ9k+qPulcs92/s4KTUJj8fTxHdTPxr8iDRE7tcM2vM48R+vgYry4PrE1jDiOnNp0FYZztUnrlQeqOBwCazZcZj9eaXBI2Vh6ES6V3Yc3Wt0KB1asBOR8PrsMzijeae7RyxlY8Oy+Gb9e7DxXvj6vdqPtelubpp95myIT3SmPhfQvnNiJf4Ab28o4lC86ZP2HAmeydmXW0x5RQOnFgCd0pMr+6Ngn1R1MC49xR0X2dHgRyQUyzJ3vN72JmxbSvyedfSoedfrxFQYeT2MmgO+ds7VKY4q8Qc4cLSY/UeL2Z8b/L6v8ntWfgmBinjYtKFBPzczLbmyAzGdSPd2Pnq2d1cnIiIOCJTDvg/hyzdh2xIm5Gyr/XjbXnDOL+CMyyFOfytiVX6J3/RJVf3S0WL25RZVt3MKK2cWfFn/n5kQ56FrW19lf2QOwFXNMOjWzkdygvunUmvwI3K8gN9MHdi2xHwd2Vn9UNWxdCspDc9ZN8BZP4nYO15L/RWU+E84sNlX2ankFJZ++w85gZqdSPVRsgjrRCS8Lr3U6QrcK+azKcmDr96CL5eYCxgU59bdpl0fOOeXMPAyiNN/8apE475jWRY5hWU1+qbgoGZf5feCkvJv/0En4EuMq9Ufda88e1M1dTrOG9kzC/QvQwSg6AhsX27O8Hy1AkrzT7iZ1a4PXySdycnf/RMJqZreFg0sy+LIsbLqzuL4zmN/bhH5jexAwExP65yeTHxpHiNO702vk1pXdyKd0pOJ1+dvpIZly+D8852uwp1iMpvDO8xBuC/fhD3rak+3ruLxcqTVCNpNvhYGXAJeHTQ5XiTuO+WBCg4VlNoObA4cLabEb39Fz1A8HuiYmkyXtil4i1IYdYaZPm0+h9OKjNaJUT11WoMfiU2WBd98GTy7s/cDsE7wR8QTBz1GQ7/zoN95lKf3YNsbb3BycnrL1yyNEqiwOJRfYjuw2d+EDgSgQ2oSXdqm0LWtjy5tUsxy5fcubVJolRSP3+/njTfeYNqUfiQkaAqK2Ms/8XEXIUayCZSb/mjbm+YMz+HtJ94uMRVOngCnTIWTJ7H0lfbM1mdabLlx3ynxBziYV2JmElT2RXWnSzf8MzdgZhV0Sk+p7pOO75s6paeQGG8OvD3zDMyeFM535n4a/EjsKC+DPWtNh7LtTcj9+sTbJbeBvpPMgOfkCbWntfn9J36OOMIfqOCbglKy8ks4lFdCVn5J9fLBPDPgycoradSHNgHivR46tUk2HUcbX52BTac2ybpPjoRVx45OV+BeUZtNca6ZcbBtiZmBUHL0xNu17Qn9psIp50H30bUuYBC12YRJS+dTXBYwfVHlV1Zl/3Qov4QDR03f9E1B46ZLA6QkxNUa1HRpk0LXtuarSxtz5bT6Tk2LxX1Hgx+JbscOm7nRX75p7ndgM52N9n1Nh9LvPOh2luZKO8yyLPJLymt3GnklHCooISuv1KzPLyGnsLTB97mpKTnBW9l5+Ko7j+ojZG1T6JCaHPFzmyWyDBvmdAXuFVXZ5HwVnHmwey1YJ7jio8cL3UZWzzzgpFPMfKUTiKpsmkG48qmosDh8rKzOgOb45aZMlQZIT0kI9kk1BjdVB+Ha+hLCNi0tFvcd/Q9PootlwTdfVM6RXmKuhnOi6WzeeOg+ykwZ6HcetO/T8rXGqFBna0znUUpWXgnF/oZf/vl4acnxtQY2XY87UtauVXTPa5bI8/rrMHu201W4U0RnEyg3n9mpGvAc/urE2yWlmRkH/abCyROhVft6/fiIzqYF1CefqrM1WXk1ztjUGNAcyi8lu6AEf6AJR9wqVU2XrjtV2gxuWie13H/PY3Hf0eBHIl95GexeDduWmjM8R3efeLvkNtB3sjnD02cCpLRpySqjnmVZFJXD9kOF5BSVHzegCQ5smnq2BsDrgZNSk8hMS6ZjWjKZ6ZXfq5eT6JiWTGqyPl8jIg6pms725ZtmBkJJ3om3a9sreCCu+6iYvh9Pc6iosCjwl7Flf/OerQFIjPfSMa1G31Szf0o37Q5pSZou7TANfiQyHcuB7cvMEbSv3oayghNvl9EvOGWg20hNZ2sgy7LIK/aTU1hKTmGZ+V5QY7n6u/kq8cfD+rVNes3WSfHVg5fMtGQ6VnYYNTuPjNaJukqaRKWhQ52uwL0iIpuc7cGZB3vWhZjOdlZwqnVGP9vpbPUVEdmEUXmggiNFZeQUmD7o8LHS6uVvKvumw5X90uHCMvO5z61Ne812rRIr+6WkWgfcavZR4ZyO1lJibd8BDX4kUlgWZH9efbNR9n4InOD0gTe+8upsU6HfFE1nO4FAhbm0c06NjqG6wziuIzl8rDQsp/ihPmdrzPeWPN0v4ja6poo9V2YT8FdOZ6uceXBkx4m3S0qvcXW2iWG/KbYrs2mg0vJAdX+UU9Uf1RjU1OyzjhSVNXkGQZXEeK/phyrPysTa2Zpo2HcaSv/LEHcqLzM3F83ZBl+/Z46kHd1z4m1T2prpbP3Ogz7nxuR0trLyilpHvk50VqaqUzlyrIxGXvzMVltfAu1bJeItK6B/ry50auMjMz2ZDqk6WyPSEJ98Av37O12FO7kim9ICc3Yn+3PYscLcdNRuOlu73jWuzjYK4ppvGq4rsjmBorJycgrKKs/G1O6Lcgprn61p7A057cR5PbRvlUhG6yQChUkMOa3u2ZrMtGTaRODZmnBy677TnDT4EedYlpm+dni7GeTkbDdfh7dD7u4TTxeoknFK5ZSBqdB1eFRNZyvxB8gtKuNokb/6e3C5ar2fvOIyDh8r43BhGXnF4T10E+f10K6y08honchJrZNo37qqnURGanB921aJJMR5g/eymTZQ97IRkchVEYC8veaKbMf3T4VZ9s/zxEH3s8yBuFOmQvuTmzydzS0sy6KwtLxWf5RbZPqe3GP+4HJRGblFfo5UHowLx4VrakqM93JSZb8U7I/Mcvsa/VVG6yTSUxLwVl6t85lnYPbMsJYiESx6/sco7lV1Fufw9toDnJxt9kfMjueNhx5jKj8UOsUcUXM5f6CCo5WDlNwiP7nHyjha7OdoZedgOpHjBjnFZU264WYoiXFe02GkJlUPaup0GJWPtanRaYhIy5kxw+kK3Cvs2VSdxanukyq/juyA8pL6/YykdOg7sfLqbBPCPp2tvhqSTX0PsB0tCvZZR4v8jb5f2rdpnRRPRuvE6r6o1kG2VrX7rNZJ8Y06S6N/V/ZiMRsNfiQ8mnIW53gJPnPELKMfZPSFDqdD73GQnN589duwLIuisgCFpeUUlPg5UljCZ7ke/JsPkF9aUd055B43kMkr8lNQGt5T+CfiS4yrNZCp6iROqu5IkqoHPKmN7DREpOWsWgVTpjhdhTs1KpvGnsU5EV+G6ZOq+qfOg82ZnmaczmYnUGHOxFT1TStWltN3wIkPsNUc4DTnAbaa2vgSqvuf9q2T6pytqZpJcFJqEskJzf9ZGv27sheL2WjwIw0TjrM4VdK6mo4ko6/pSNqfbJZTO4O36Z8NKS0PUFhSTkGJ6SDyS/y12gUlZoBSUFJeud5fub7qy7TrHuyKgy+2NLm+mhLjvLTxJdDWl0i6L4G2vgTapCTSppVZ1yYlgTa+RLO+8nu6LyFqP4ApEquOHHG6AvcKmU04zuKAmWXQrnftPqlqOQxndSzLothv+qb8Gn1RVd9UcFy7uu86rq86VnaCA4qbmlxeHb7EONMH+RIqvxKD/VNln1W1vroPS0lw3c2h9e/KXixmo8GP1GVZJPrz8exZB0d3huksTs0BTj9zFbbEVnU2LyuvoLg0QIm/jKKyAMVlAYrKQncK1R1Cae0OpKy8+Y9uHc/rwXQCKQnHDWaqBizme1UH0baVaackxOmsjIjQvn73tIxJ7dsFIDdcZ3Ha1+6TMvpC+77QtkedMzmWZVFaXkHxMfMZlqKyACX+QHBAUuqvcdAs2K7qj2oNXkrLCTTT9LFQYv0Am/5d2YvFbBwd/Dz88MP86U9/4uDBg/Tv358HHniAs88+28mSokOgHErzzZGwqu8lVe2849o1Hzdf8UVHmFqaDw04uVHi60RB614c9fUkN7k73yT34GBCV77xtKfEb6aOFR8IUPx1gGJ/EcX+zRSXBSj2mwFO1XJzzSluiKR4L6nJ8aQmJ9A6KZ7U5PjK7wn4Er18s+9rhp1xGhmpKXWOhKUmx+uzMiIRzOl+aezYFnuplldeWquvqdsX5dv0TaY96dg3sK7+Z3EqPPEUte5e3TcdTupGdlIPsuK7kEuqGciUBij5OkDxtgBFZd9Q4s8y/ZXfDHCqlsN1WeWm8CXG1embUpPjSU1KIDkunpPSdYDNTlT/u2qiWMzGscHPokWLmDt3Lg8//DBjxozh73//O1OnTmXr1q10797dqbKcZVlQVgilBQSK8ygvzqP8WB6BknwqivOwSvKrvzyl+VBWgLe0AK+/kLiyfOL8hcT7C4kPFDepDLs/j0VWEjutTtVfOyo6s9PqzE4rk+KSZKhz6rSg8qtleD3U7RRqDmCS40k7wYCmatvWSWabUEe6zBXNdjJtVA9d0UwkyrihX3r5ZZg9u0Veqv4qAlBq+p7y4jwCxfkEiiq/l5i+iZJ8rNICPKX5eEoL8Jbl4y0rJK6sgLjyQuL9BcRVNO2qlHZ902ErtUaf1Ikdlumb9lonUV4cD98c/4ycyq+WkRjnre6DavU9NfqmUH1XalICrZPjQ04le+YZmH1xi72liOPKf1cuEYvZODb4ue+++7j22mv50Y9+BMADDzzA0qVLeeSRR5g/f36zvW5ZaQmbHvkhaYUFbNr5XzxYeKwKsCw8VNRaxqqo8bhZ9loBqFznqfP9ROus6vXeGm0vFXgsy3zHIplSfBQTV3njzrjKr6RmS6IuvxVHASnkW63Ya51U2YFUdiQVncmiLRbhu09LUryXlMQ4fAlxJCfG4UuMIyUhjuSE4HJKYhwpCcEOIS05oW4HUtmO9SNbItI0TvVLADs+Wcvhdx6iQ77F+vsroGZ/ZAUq+6TK/qhmn2NZ1duesP+p7pvMth4q8FrBfqnW+hrP81b2UymU0ApztsUDJFR+taRiK5FCUsi1WvO1lclOqzM7agx2jpIattfyeDB9T3X/Y/+9dVJ8jYNrCbXOxNQc7ETL1DGRaOHI4KesrIwNGzbw61//utb6yZMns3bt2jrbl5aWUlpaWt3Oz88HzFF4fwNvTVtaUszIo6+bRgM/n+9WFZaHQpIpJIUCy1f9vYAUCqwUCvBRWPW91mO126UkUHVsLc5j4UtMwJdoBiPpCV4ya/zhT67VOXirByxmvbd2R3GCbVMS4sI8PcyivLz5r65Wtb81dL+LBcrGXrRlEy3vo6aG9ktg3zc1RsGhrxmRG119U7nlrdX/VPVJwX7HPJZfvU0KhVX9U+U2x0jBX+O/KscfNOuSEEffGn2SLzHYRwUPosVXfveSkhBf3TdV91mVPy8lMY6keG9EHkQbNMjpCtxN+diLxWwcGfzk5OQQCATo2LFjrfUdO3YkK6vuhxbnz5/PXXfdVWf9smXL8Pl8DXrtinI/zXlmOGBVndfxUlHr2Jq3+hxQzeWqx0pJpMiTwjFSKCKFIo+PEk9y5fcUir0+Sj0plHhTKPOkUBrno8ybQpk3hYA3Ga/XQ7wX4jwEv3sgzmu+x3uglRfSPJZpH7etWQ5UPyfOA1DPCxuUV37VmG1nAUWVX9Fo+fLlTpfgWsrGXrRkU1QUff+yG9ovgX3f9Nxz4PPBzJmwYgXk5UGHDjBiBLz2mtlmyBCoqIDNm027b9vwnVU/XoXlqdEfeU+wbPosy+Op3Nb0UXg8HLNSKMJHsbcVpfE+8spbU4wPfK0prGhNnr81pd5WtO2Uyp5vWlNMKolpqbTOSGXXHh9xXi8n9/FSUuTlyDde4jxezh7jYecGLwG/l44dvJzZy8umDR66eLwMGWS2/XqHlzivl4sv8rDqHS/Fx8z2My/28MYb5n0NHw4lJfDpp6Z98cXw7ruQmwsZqTBqFLz6qnls8GDzfdMmyAUuuADWrYOcHGjbFsaPh8XPm20GDoTkZFi/3rSnTYONGyErC1JT4bzzzO8Y4PTTIT3d/CyAyZNh61bYtw9SUsw9VJ55xjzWr5/ZD1avNu1zz4UdO2D3bkhMhEsugWefhUAAeveG7t3N+wE45xzYv99s7/XC5ZfDiy9CaanZzusNvs6YMeZ9ffmlaV9+udnvjh2DLl1gwABYutQ8NnIkFBbCZ5+Z9qWXwrJlkJ8PHTvCsGHweuWYfOhQ8Pvhk09Me8YMc5nkI0fMh+bHjjVTqMD8h9rrNbkBTJ8OH34I2dkmrwkTTP1g6vH5zOMAU6fCxx/DgQPQurXJ/9lnzWOnngrt2kHV8YhJk+CLL2DvXvM7u/hiWLjQfIqgb1/IzIT33jM/q21b+Ppr2LUL4uPhssvM77G8HHr1gp494Z13zM89+2zz+96+3ZwNvOIKWLzY7G/dupk6qv6cjx5tMvjiC9OeNQveeMPk2rkznHkmvPmmeWzECCgqgi2Vn6luyN+Iiy4y+87hwyaDc86Bl14yj51xBiQkwIYNpn3++fDRR3DoEKSlmf3y+cr9u39/k+sHH5h2797m97h/P7RqZX5XixaZx045BTIyYM0a0544EbZtgz17ICnJ1L9okamzTx+zf61aZbYdP95st3MnxMWZXF54AcrKoEcPs/3bb5ttx441+8a2baY9e7Z5b8XF0LWr+Xe2bJl5bNQok9fWraZ92WWwZIl5r/XlsayW/xjfgQMH6NKlC2vXrmXUqFHV6++55x6efvppvqjagyqd6Ohat27dyMnJIS0trUGvbVVUsGvrejZ//AmDhwwhISERrzcOvB68njg8Xq/58njxeuPwer144uKql/HG4fV48Hrj8FSuq94uDJdndgO/38/y5cuZNGmSPtdyHGVjT9nYi7Zs8vPzycjIIC8vr8F/g92qof0S2PdNjcmlIO8IOft38N57XsaNN2fGPZ44vHHxeLyeyv4mDq/HC15vdd/j8Zp+y1tjnTcuPvi4xxM1fdMzz8TeZxPqS9mEpnzsRUs2+fn5pKen1+vvryNnfjIyMoiLi6tzNC07O7vOUTeApKQkkpLqfvolISGhUf+R6D1gJF/sOUyv04ZGxX9Emktj840FysaesrEXLdlEw3s4XkP7JbDvmxojNb0dqenteP9j6HFKWH6kiIicgCOHgxITExk6dGidKSDLly9n9OjRTpQkIiIxzC390vTpLfZSEUfZ2FM2oSkfe7GYjWPnwm+55Rb++c9/8sQTT/D555/zs5/9jD179vCTn/zEqZJERCSGuaFfqvrcg9SlbOwpm9CUj71YzMaxS11ffvnlHD58mN///vccPHiQAQMG8MYbb9CjRw+nShIRkRjmhn4pO7vFXiriKBt7yiY05WMvFrNxbPADcMMNN3DDDTc4WYKIiEg1p/ul9HTHXtr1lI09ZROa8rEXi9lExyVgREREosCECU5X4F7Kxp6yCU352IvFbDT4ERERcYmqe59IXcrGnrIJTfnYi8VsHJ321lhVtyZq7N20/X4/RUVF5OfnR+UlW5tK+dhTNvaUjb1oy6bqb68Dt4lztab2TWBugNiEp0c1ZWNP2YSmfOxFSzYN6ZccuclpU+3bt49u3bo5XYaISEzbu3cvXbt2dboM11DfJCLirPr0SxE5+KmoqODAgQOkpqbi8Xga/Pyqu3Dv3bs3au5OHk7Kx56ysads7EVbNpZlUVBQQOfOnfF6NXu6ivqm5qNs7Cmb0JSPvWjKpiH9UkROe/N6vWE52piWlhbxv+zmpHzsKRt7ysZeNGWTHouXCPoW6puan7Kxp2xCUz72oiWb+vZLOmQnIiIiIiIxQYMfERERERGJCTE5+ElKSuKOO+4gKSnJ6VJcSfnYUzb2lI09ZSP1of3EnrKxp2xCUz72YjWbiLzggYiIiIiISEPF5JkfERERERGJPRr8iIiIiIhITNDgR0REREREYoIGPyIiIiIiEhM0+BERERERkZgQk4Ofhx9+mF69epGcnMzQoUN57733nC7JcfPnz2f48OGkpqbSoUMHZsyYwZdfful0Wa40f/58PB4Pc+fOdboUV9i/fz9XXXUV7du3x+fzMWjQIDZs2OB0Wa5QXl7Ob3/7W3r16kVKSgq9e/fm97//PRUVFU6XJi6kvqku9U31p76pNvVNJ6Z+KQYHP4sWLWLu3LncfvvtbNq0ibPPPpupU6eyZ88ep0tz1MqVK5kzZw7vv/8+y5cvp7y8nMmTJ3Ps2DGnS3OV9evX89hjj3HGGWc4XYor5ObmMmbMGBISEnjzzTfZunUrf/7zn2nTpo3TpbnCH//4Rx599FEeeughPv/8c+69917+9Kc/8eCDDzpdmriM+qYTU99UP+qbalPfZE/9Ugze52fkyJEMGTKERx55pHrdaaedxowZM5g/f76DlbnLN998Q4cOHVi5ciXnnHOO0+W4QmFhIUOGDOHhhx/m7rvvZtCgQTzwwANOl+WoX//616xZs0ZHqG1Mnz6djh078vjjj1evu+SSS/D5fDz99NMOViZuo76pftQ31aW+qS71TfbUL8XYmZ+ysjI2bNjA5MmTa62fPHkya9eudagqd8rLywOgXbt2DlfiHnPmzOH8889n4sSJTpfiGq+88grDhg3jsssuo0OHDgwePJh//OMfTpflGmPHjmXFihVs27YNgI8//pjVq1czbdo0hysTN1HfVH/qm+pS31SX+iZ76pcg3ukCWlJOTg6BQICOHTvWWt+xY0eysrIcqsp9LMvilltuYezYsQwYMMDpclxh4cKFbNy4kfXr1ztdiqvs3LmTRx55hFtuuYXbbruNDz/8kJtvvpmkpCSuvvpqp8tz3K9+9Svy8vI49dRTiYuLIxAIcM899zB79mynSxMXUd9UP+qb6lLfdGLqm+ypX4qxwU8Vj8dTq21ZVp11sezGG2/kk08+YfXq1U6X4gp79+7lpz/9KcuWLSM5OdnpclyloqKCYcOGMW/ePAAGDx7MZ599xiOPPBLzHQyYz3H85z//YcGCBfTv35/Nmzczd+5cOnfuzPe//32nyxOXUd8Umvqm2tQ32VPfZE/9UowNfjIyMoiLi6tzJC07O7vOEbdYddNNN/HKK6+watUqunbt6nQ5rrBhwways7MZOnRo9bpAIMCqVat46KGHKC0tJS4uzsEKndOpUydOP/30WutOO+00XnjhBYcqcpdf/vKX/PrXv+aKK64AYODAgezevZv58+fHTCcj305907dT31SX+iZ76pvsqV+Ksc/8JCYmMnToUJYvX15r/fLlyxk9erRDVbmDZVnceOONvPjii7z99tv06tXL6ZJcY8KECXz66ads3ry5+mvYsGFceeWVbN68OWY7F4AxY8bUuezstm3b6NGjh0MVuUtRURFeb+0/s3FxcTF1SVH5duqb7Klvsqe+yZ76Jnvql2LszA/ALbfcwve+9z2GDRvGqFGjeOyxx9izZw8/+clPnC7NUXPmzGHBggW8/PLLpKamVh+BTE9PJyUlxeHqnJWamlpnfnmrVq1o3759zM87/9nPfsbo0aOZN28es2bN4sMPP+Sxxx7jsccec7o0V7jgggu455576N69O/3792fTpk3cd999/PCHP3S6NHEZ9U0npr7Jnvome+qb7KlfAqwY9Le//c3q0aOHlZiYaA0ZMsRauXKl0yU5Djjh15NPPul0aa40btw466c//anTZbjCq6++ag0YMMBKSkqyTj31VOuxxx5zuiTXyM/Pt376059a3bt3t5KTk63evXtbt99+u1VaWup0aeJC6pvqUt/UMOqbgtQ3nZj6JcuKufv8iIiIiIhIbIqpz/yIiIiIiEjs0uBHRERERERiggY/IiIiIiISEzT4ERERERGRmKDBj4iIiIiIxAQNfkREREREJCZo8CMiIiIiIjFBgx8REREREYkJGvyIiIiIiEhM0OBHRERERERiggY/IiIiIiISE/4/eUC6Ht0E2DMAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(10, 3))\n", "\n", "# default grid appearance\n", "axes[0].plot(x, x**2, x, x**3, lw=2)\n", "axes[0].grid(True)\n", "\n", "# custom grid appearance\n", "axes[1].plot(x, x**2, x, x**3, lw=2)\n", "axes[1].grid(color=\"b\", alpha=0.5, linestyle=\"dashed\", linewidth=0.5);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Twin axes\n", "\n", "Sometimes it is useful to have dual x or y axes in a figure; for example, when plotting curves with different units together. `matplotlib` supports this with the `twinx` and `twiny` functions:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax1 = plt.subplots()\n", "\n", "ax1.plot(x, x**2, lw=2, color=\"blue\")\n", "ax1.set_ylabel(r\"area $(m^2)$\", fontsize=18, color=\"blue\")\n", "for label in ax1.get_yticklabels():\n", " label.set_color(\"blue\")\n", "\n", "ax2 = ax1.twinx()\n", "ax2.plot(x, x**3, lw=2, color=\"red\")\n", "ax2.set_ylabel(r\"volume $(m^3)$\", fontsize=18, color=\"red\")\n", "for label in ax2.get_yticklabels():\n", " label.set_color(\"red\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Other 2D plot styles\n", "\n", "In addition to the regular `plot` method, there are a number of other functions for generating different kind of plots. See the `matplotlib` plot gallery for a complete list of available plot types: http://`matplotlib`.org/gallery.html. Some of the more useful ones are show below:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xx = np.linspace(-0.75, 1.0, 100)\n", "n = np.array([0, 1, 2, 3, 4, 5])\n", "\n", "fig, axes = plt.subplots(1, 4, figsize=(12, 3))\n", "\n", "axes[0].scatter(xx, xx + 0.25 * np.random.randn(len(xx)))\n", "axes[0].set_title(\"scatter\")\n", "\n", "axes[1].step(n, n**2, lw=2)\n", "axes[1].set_title(\"step\")\n", "\n", "axes[2].bar(n, n**2, align=\"center\", width=0.5, alpha=0.5)\n", "axes[2].set_title(\"bar\")\n", "\n", "axes[3].fill_between(x, x**2, x**3, color=\"green\", alpha=0.5)\n", "axes[3].set_title(\"fill_between\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Histograms" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# A histogram\n", "n = np.random.randn(100000)\n", "fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n", "\n", "axes[0].hist(n)\n", "axes[0].set_title(\"Default histogram\")\n", "axes[0].set_xlim((min(n), max(n)))\n", "\n", "axes[1].hist(n, cumulative=True, bins=50)\n", "axes[1].set_title(\"Cumulative detailed histogram\")\n", "axes[1].set_xlim((min(n), max(n)));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Text annotation\n", "\n", "Annotating text in `matplotlib` figures can be done using the `text` function. It supports LaTeX formatting just like axis label texts and titles:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(xx, xx**2, xx, xx**3)\n", "\n", "ax.text(0.15, 0.2, r\"$\\alpha y=x^2$\", fontsize=20, color=\"blue\")\n", "ax.text(0.65, 0.1, r\"$y=x^3$\", fontsize=20, color=\"green\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Colormap and contour figures\n", "\n", "Colormaps and contour figures are useful for plotting functions of two variables. A colormap will be used to encode one dimension of the data in most of these functions. There are a number of predefined colormaps. It is relatively straightforward to define custom colormaps. For a list of pre-defined colormaps, see: http://www.scipy.org/Cookbook/`matplotlib`/Show_colormaps" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "alpha = 0.7\n", "phi_ext = 2 * np.pi * 0.5\n", "\n", "\n", "def flux_qubit_potential(phi_m, phi_p):\n", " return (\n", " 2\n", " + alpha\n", " - 2 * np.cos(phi_p) * np.cos(phi_m)\n", " - alpha * np.cos(phi_ext - 2 * phi_p)\n", " )" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "phi_m = np.linspace(0, 2 * np.pi, 100)\n", "phi_p = np.linspace(0, 2 * np.pi, 100)\n", "X, Y = np.meshgrid(phi_p, phi_m)\n", "Z = flux_qubit_potential(X, Y).T" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### pcolor" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "p = ax.pcolor(\n", " X / (2 * np.pi),\n", " Y / (2 * np.pi),\n", " Z,\n", " cmap=plt.cm.RdBu,\n", " vmin=abs(Z).min(),\n", " vmax=abs(Z).max(),\n", ")\n", "cb = fig.colorbar(p, ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### imshow" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "im = plt.imshow(\n", " Z,\n", " cmap=plt.cm.RdBu,\n", " vmin=abs(Z).min(),\n", " vmax=abs(Z).max(),\n", " extent=[0, 1, 0, 1],\n", ")\n", "im.set_interpolation(\"bilinear\")\n", "\n", "cb = fig.colorbar(im, ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### contour" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "cnt = plt.contour(\n", " Z,\n", " cmap=plt.cm.RdBu,\n", " vmin=abs(Z).min(),\n", " vmax=abs(Z).max(),\n", " extent=[0, 1, 0, 1],\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Miscellaneous topics\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Using FloPy styles to make figures for USGS publications\n", "\n", "FloPy's plotting routines can be used with built in styles from the `styles` module. The `styles` module takes advantage of matplotlib's temporary styling routines by reading in pre-built style sheets. Two different types of styles have been built for flopy: `USGSMap()` and `USGSPlot()` styles which can be used to create report quality figures. The styles module also contains a number of methods that can be used for adding axis labels, text, annotations, headings, removing tick lines, and updating the current font.\n", "\n", "\n", "Addition information on use of flopy styles can be found in https://github.com/modflowpy/flopy/blob/develop/examples/Notebooks/flopy3.3_PlotMapView.ipynb and https://github.com/modflowpy/flopy/blob/develop/examples/Notebooks/flopy3.3_PlotCrossSection.ipynb" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "from flopy.plot import styles" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Make a timeseries" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# styles.set_font_type(\"sans-serif\", \"Courier New\")\n", "with styles.USGSPlot():\n", " fig, ax = plt.subplots()\n", " ax.plot([0, 100], [0, 10])\n", " styles.heading(ax=ax, idx=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Change the font used in the timeseries plot above. The fonts available to matplotlib can be found using\n", "\n", "```\n", "import matplotlib.font_manager\n", "matplotlib.font_manager.findSystemFonts(fontpaths=None, fontext='ttf')\n", "```\n", "\n", "A possible option is family `sans-serif` fontname `Arial Narrow`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Make a map" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.random.random((10,10))\n", "X, Y = np.meshgrid(np.arange(0, 10, 1), np.arange(0, 10, 1))\n", "with styles.USGSMap():\n", " plt.pcolormesh(X, Y, x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Creating animations with matplotlib\n", "\n", "We will animate the sine function over the range of 0 to 2$\\pi$. The first step is to make a numpy array from 0 to 2 using `arange` to define the variable `x`. Start with a interval of `x` on the order of 0.1." ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((21,),\n", " array([0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. , 1.1, 1.2,\n", " 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 2. ]))" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x = np.arange(0.0, 2.1, 0.1)\n", "x.shape, x" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(nrows=1, ncols=1)\n", "fig.set_figheight(4)\n", "fig.set_figwidth(5)\n", "\n", "for idx in range(x.shape[0]):\n", "\n", " ax.cla()\n", "\n", " ax.set_xlim(0, 2)\n", " ax.set_ylim(-1.1, 1.1)\n", "\n", " i1 = idx + 1\n", " y = np.sin(x[:i1] * np.pi)\n", " line = ax.plot(x[:i1], y)\n", " ax.axhline(y=0, lw=0.5, color=\"black\")\n", " title_text = fig.suptitle(f\"{x[idx]:>2.2f} $\\pi$\")\n", "\n", " display(fig)\n", " clear_output(wait=True)\n", " plt.pause(0.1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Modify the animation to show the sine function for the full range of 0 to 2$\\pi$ but show the time as a point on the curve that moves in time." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Using PdfPages to create multi-page PDFs\n", "\n", "Use your sine function plot to create a pdf for each time. A PdfPages example can be found in the matplotlib gallery at https://matplotlib.org/stable/gallery/misc/multipage_pdf.html" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "from matplotlib.backends.backend_pdf import PdfPages" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [], "source": [ "path = pl.Path(f\"{output_path}/multipage_pdf.pdf\")\n", "y = np.sin(x * np.pi)\n", "\n", "with PdfPages(path) as pdf:\n", " for idx, (xx, yy) in enumerate(zip(x, y)):\n", " fig, ax = plt.subplots(nrows=1, ncols=1)\n", " fig.set_figheight(4)\n", " fig.set_figwidth(5)\n", "\n", " ax.set_xlim(0, 2)\n", " ax.set_ylim(-1.1, 1.1)\n", "\n", " ax.plot(x, y)\n", " ax.plot(\n", " xx, yy, lw=0, marker=\"o\", ms=4, mfc=\"red\", mec=\"red\", clip_on=False\n", " )\n", "\n", " ax.set_title(r\"Page {} - {:6.2f} $\\pi$\".format(idx + 1, xx))\n", " pdf.savefig() # saves the current figure into a pdf page\n", " plt.close()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.7" } }, "nbformat": 4, "nbformat_minor": 4 }