{
"cells": [
{
"attachments": {
"image-4.png": {
"image/png": "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"
}
},
"cell_type": "markdown",
"id": "42151320",
"metadata": {},
"source": [
"# Lecture 4 : Data visualization with Python\n",
"\n",
"*November, 2021 - updated on April, 2022 - François HU*\n",
"\n",
"*Master of Science - EPITA*\n",
"\n",
"*This lecture is available here: https://curiousml.github.io/*\n",
"\n",
"![image-4.png](attachment:image-4.png)"
]
},
{
"cell_type": "markdown",
"id": "647d329a",
"metadata": {},
"source": [
"# Table of contents\n",
"\n",
"[Introduction to Matplotlib](#I)\n",
"\n",
"1. [Pyplot interface](#1)\n",
"2. [Line plot](#2)\n",
"3. [Scatter plot](#3)\n",
"4. [Histogram](#4)\n",
"5. [Global customization](#5)\n",
"6. [Subplots](#6)\n",
"\n",
"\n",
"\n",
"7. [Object-oriented interface](#7)\n",
"8. [[optional] Other plots: a quick overview](#8)\n",
"\n",
"[Exercices](#E)"
]
},
{
"cell_type": "markdown",
"id": "599102b4",
"metadata": {},
"source": [
"# Introduction to Matplotlib \n",
"\n",
"Data visualization (or DataViz) is a process that allows you to understand data (e.g. patterns, trends or correlations) by representing it in a graphic form. For that purpose, there are many python packages available: in this notebook, we will visualize data thanks to [Matplotlib](http://matplotlib.org/contents.html) which is the most used Python package for plotting.\n",
"\n",
"[Matplotlib](http://matplotlib.org/contents.html) is quite popular in Python thanks to its low-level coding which offers lots of freedom. Note that many \"advanced\" data visualization packages are built on top of Matplotlib. For instance:\n",
"- [Seaborn](https://seaborn.pydata.org/) for statistical data visualization (see next lecture)\n",
"- the plotting methods in [Pandas DataFrames](https://pandas.pydata.org/pandas-docs/stable/user_guide/visualization.html) (see the next lecture)\n",
"- [Plotly](https://plotly.com/) for creating interactive plots"
]
},
{
"cell_type": "markdown",
"id": "1ff8c829",
"metadata": {},
"source": [
"## 1. Pyplot interface \n",
"\n",
"**Pyplot** is a submodule of matplotlib where it contains a collection of functions enables you to create or modify figures. Pyplot is very good for creating basic graphs like line charts, bar charts, histograms and many more. All the pyplot commands make changes and modify the same figure so that the state (i.e., the figure) is preserved through various function calls (i.e., the methods that modify the figure).\n",
"\n",
"- We will see how the **pyplot interface** works in [section 3](#3), [4](#4), [5](#5) and [6](#6). \n",
"\n",
"- In [section 7](#7) (and [section 8](#8)) we will see another interface: the **object-oriented interface**. This interface is generally more flexible than the pyplot interface.\n",
"\n",
"As usual, one can install the package Matplotlib with the command\n",
"```\n",
"pip install matplotlib\n",
"```\n",
"in anaconda prompt. After installing the package matplotlib one can import it alongside with the submodule `pyplot` and then rename it `plt` (frequently used) with the command:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "23ce2f8a",
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"id": "d35af4b0",
"metadata": {},
"source": [
"In a notebook, the code command `%matplotlib` configures the package that you will use to draw a figure. It performs a number of processes to prepare the display of the figure. It is recommended here to used it with the argument `inline`, which indicates that the package is integrated in Notebook. This directive must be included at the very beginning of your script, even before the package import directives."
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "7838f09f",
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"\n",
"import matplotlib.pyplot as plt # for plotting \n",
"import numpy as np # for array"
]
},
{
"cell_type": "markdown",
"id": "e53697a6",
"metadata": {},
"source": [
"## 2. Line plot \n",
"\n",
"A line plot is a graph that uses lines to connect individual data points. A line plot displays quantitative values over a specified interval. This is particularly useful to visualize a (mathematical) function (e.g. sine, cosine, exponential or our own function). Let us plot a sine curve. For that purpose we will use one of the most popular function in `matplotlib.pyplot`: `plot` (see documentation for more information)"
]
},
{
"cell_type": "markdown",
"id": "64b83755",
"metadata": {},
"source": [
"### Toy example"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "e1e60afc",
"metadata": {},
"outputs": [],
"source": [
"# our toy example\n",
"x = np.arange(0, 2*np.pi, 0.1) # define the horizontal axis (or x axis)\n",
"y1 = np.sin(x) # define the vertical axis (or y axis)\n",
"y2 = np.cos(x) # define the vertical axis (or y axis)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "dc2482b8",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x, y1); # plot the sine curve. The chosen interval is [0, 2 pi). `;`\n",
"# plt.show() # this line is used in IDEs for showing the plot. We don't need it in notebooks"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "72cb7aea",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x, y2); # plot the cosine curve. The chosen interval of analysis is [0, 2 pi)\n",
"# plt.show() # this line is used in IDEs for showing the plot. We don't need it in notebooks"
]
},
{
"cell_type": "markdown",
"id": "34a7f58b",
"metadata": {},
"source": [
"At the end of the last line, we add `;` in order to prevent returning additional output."
]
},
{
"cell_type": "markdown",
"id": "87a49273",
"metadata": {},
"source": [
"### Simple customization\n",
"\n",
"We can customize (non-exhaustive, see documentation for more details):\n",
"- the color of the line;\n",
"- the \"alpha\" (degree of transparency) of the line;\n",
"- the style of the line and its width."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "b4e6595f",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# changing linestyle, color and linewidth\n",
"plt.plot(x, y1, linestyle='dashed', color=\"red\", linewidth=10);"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "c7b679c7",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# changing linestyle, color and linewidth\n",
"plt.plot(x, y2, linestyle='dashdot', color='blue', linewidth=2);"
]
},
{
"cell_type": "markdown",
"id": "7cbfe2ec",
"metadata": {},
"source": [
"## 3. Scatter plot \n",
"\n",
"Instead of curves, we want to create a **scatter plot**, a graph in which the values of two variables are plotted along two axes\n",
"\n",
"### Toy example\n",
"\n",
"Let us first generate random points in the space $[0,1] \\times [0,1]$"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "61f157c9",
"metadata": {},
"outputs": [],
"source": [
"# generating random points in the space [0, 1] x [0, 1]\n",
"import numpy as np\n",
"\n",
"n = 50\n",
"x_scatter = np.random.rand(n)\n",
"y_scatter = np.random.rand(n)"
]
},
{
"cell_type": "markdown",
"id": "affef6be",
"metadata": {},
"source": [
"In Matplotlib we can use the `scatter` method for creating a scatter plot"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "b1384656",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(x_scatter, y_scatter);"
]
},
{
"cell_type": "markdown",
"id": "b249c0b2",
"metadata": {},
"source": [
"### Simple customization\n",
"\n",
"The scatter plot can be customized. For instance we can customize (non-exhaustive, see documentation for more details):\n",
"- the color of the points;\n",
"- the \"alpha\" (degree of transparency) of the points;\n",
"- the marker style and its size."
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "b12669b3",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(x_scatter, y_scatter, c=\"red\", alpha=0.4, marker=\"o\", s=200);"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "4dfd8752",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"size = np.random.rand(n)\n",
"size = np.exp(size) * 200\n",
"plt.scatter(x_scatter, y_scatter, c=\"green\", alpha=0.4, marker=\"o\", s=size);"
]
},
{
"cell_type": "markdown",
"id": "28362ce3",
"metadata": {},
"source": [
"## 4. Histogram \n",
" \n",
"A **histogram** is a graphical display of numerical data by showing the number of data points that fall within a specified range of values (called \"bins\").\n",
"\n",
"In Matplotlib we can create a Histogram using the `hist` method"
]
},
{
"cell_type": "markdown",
"id": "3b197fca",
"metadata": {},
"source": [
"### Toy example"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "ce07800c",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"\n",
"n = 5000 # number of points\n",
"mu = 100 # mean of distribution\n",
"sigma = 15 # standard deviation of distribution\n",
"sample = mu + sigma * np.random.randn(n) # we just have some random points around mu=100 and with a deviation of sigma = 15\n",
"\n",
"plt.hist(sample);"
]
},
{
"cell_type": "markdown",
"id": "a632a352",
"metadata": {},
"source": [
"### Simple customization\n",
"\n",
"For histograms, we can customize (non-exhaustive, see documentation for more details):\n",
"- the number of equal-width bins;\n",
"- the \"alpha\" (degree of transparency) of the bars;\n",
"- the color of the bars.\n",
"\n",
"We can also let the method `hist` to return a probability density instead of the raw count with the argument `density=True`"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "6220cfae",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"\n",
"n = 5000\n",
"mu = 100\n",
"sigma = 15\n",
"sample = mu + sigma * np.random.randn(n)\n",
"\n",
"num_bins = 50\n",
"plt.hist(sample, num_bins, density=True, facecolor='red', alpha=0.2);"
]
},
{
"cell_type": "markdown",
"id": "e00c836b",
"metadata": {},
"source": [
"## 5. Global customization \n",
"\n",
"More generally, every figure can be customized. In a nutshell one can customize (non exhaustive):\n",
"- axes labels and title;\n",
"- legend;\n",
"- additional information (e.g. texts, arrows, another curve, ...);\n",
"- overall look of your matplotlib plot (e.g. size of the figure, having subfigures, ...).\n",
"\n",
"In pyplot, the methods for drawing a graph or editing a label apply by default to the last current state (last instance of a subplot or last instance of an axis for example). As a consequence, you must design your codes as a sequence of instructions (for example, you must not separate instructions that refer to the same graph in two different Notebook cells).\n",
"\n",
"**Remark:** here, let us use the sine and cosine plot of the section 2 as a toy example."
]
},
{
"cell_type": "markdown",
"id": "149fa051",
"metadata": {},
"source": [
"### Adding axes and title"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "27930807",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x, y1)\n",
"plt.grid()\n",
"plt.xlabel(\"x\") # horizontal label\n",
"plt.ylabel(\"sin(x)\") # vertical label\n",
"plt.title(\"Sine curve\"); # title of the figure"
]
},
{
"cell_type": "markdown",
"id": "f99e81b0",
"metadata": {},
"source": [
"### Adding another line"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "f8c7a74a",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAZAAAAEWCAYAAABIVsEJAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAABNg0lEQVR4nO3dd3hU1fbw8e9KD6GGQIDQIfRqkKpIFxBBvdgL6vViw3LtvV9F7O3asF5RLFgQQWrovfck9N4JkN7W+8c5+b0xJmQyZObMJPvzPPMwc+raM2HW7HN2EVXFMAzDMEorwOkADMMwDP9kEohhGIbhFpNADMMwDLeYBGIYhmG4xSQQwzAMwy0mgRiGYRhuMQnE8Dkicr2IzHA6jpKIyFwRuc1L5/KL98SoWEwCMRwhIheIyGIROSUiJ0RkkYicD6CqE1R1kNMx+hLznhi+KMjpAIyKR0SqAlOAO4EfgBDgQiDTybgM94lIkKrmOB2H4V2mBmI4oQWAqn6nqrmqmq6qM1R1PYCI3CwiC/M3FhEVkTtEJElEkkXkAxGRAutvFZEtInJSRKaLSKPiTiwiP4rIIbvmM19E2hZY96V97D9E5IyILBORZgXWDxSRrfa+7wNS5EmsbQNF5AkR2W4fa5WINLDX9RSRFfZxVohIzwL73SwiO+x9dorI9V54T/Jrg8kisldEbraX/+USXTEx3C0iSUCSiHwoIq8XOvZvIvKA/byeiEwSkaN22e4tsF1XEVkpIqdF5LCIvFlcvIYPUVXzMA+vPoCqwHHgK2AIUKPQ+puBhQVeK1aNpTrQEDgKDLbXjQC2Aa2xatRPAYvPcu5bgSpAKPA2sLbAui/tuLrax5oATLTXRQFngJFAMPBvIAe4rZjzPAxsAFpiJZqOQE0gEjgJ3Gif41r7dU0gAjgNtLSPURdo68n3BGhkl+tau1w1gU72urkFy1dMDDPtMoUDvYG9gNjrawDpQD2sH6urgGewapxNgR3Axfa2S4Ab7eeVge5O/52aR8kPUwMxvE5VTwMXYH0BfQocFZHJIhJ9lt3Gqmqyqu4B4oFO9vI7gFdUdYtal1BeBjoV94tbVT9X1TOqmgk8B3QUkWoFNvlFVZfbx5pQ4DxDgU2q+pOqZmMln0Nnifc24ClVTVDLOlU9DlwCJKnq/1Q1R1W/A7YCl9r75QHtRCRcVQ+q6iYPvyfXAbPUqg1mq+pxVV17lnMW9oqqnlDVdGAB1md6ob1uJLBEVQ8A5wO1VPUFVc1S1R1Yn/019rbZQHMRiVLVFFVdWooYDIeYBGI4wv5yu1lV6wPtsH6lvn2WXQp+Wadh/UoF6xf0O/bll2TgBNYv/pjCB7AvK421LyudBnbZq6JcOE89rF/X+fFrwddFaABsL2J5PWB3oWW7gRhVTQWuxkoAB+1Laa3Oco5zfk/OEqerCr8nE7FqM2AlpwkFYqqXH5Md1xNA/o+Gf2Jd2txqX9Ybdg4xGV5iEojhOFXdinX5qJ0bu+8FblfV6gUe4aq6uIhtr8O6vDMAqAY0tpcXey+jgINYX7bWDtb9hgbFb85eoFkRyw9gfZkW1BDYD6Cq01V1INblq61Yv9JLqzTvSXFxAqQClQq8rlPENoWH8/4OGGnXdroBkwqcZ2ehmKqo6lAAVU1S1WuB2sCrwE8iEuFKYQ3nmARieJ2ItBKRB0Wkvv26AdavVncuW3wEPJ5/M1xEqonIlcVsWwWrpddxrC/Gl0txnj+AtiJyhYgEAfdS9BdqvvHAiyISK5YOIlITmAq0EJHrRCRIRK4G2gBTRCRaREbYX5yZQArWJa3SKs17MgEYICJX2fHUFJFO9rq1wBUiUklEmmPVEs5KVdcAx+zyT1fVZHvVcuCMiDwqIuF2bbCd2E23ReQGEamlqnlA/j7ulN3wIpNADCecwfp1ukxEUrESx0bgwdIeSFV/wfrFOtG+LLUR68Z8Ub7Guly0H9hMKRKWqh4DrgTGYiWgWGDRWXZ5E6uJ8gysG+OfAeH2fZBhWGU9DjwCDLOPHwA8gFVLOQFchNXUuVRK857Y90+G2vGcwEoaHe3VbwFZwGGsBg8TijhEUb7FquV9W+A8uVjl7gTs5P8nmfz7T4OBTSKSArwDXGPfVzF8WH5rCcMwDMMoFVMDMQzDMNxiEohhGIbhFpNADMMwDLeYBGIYhmG4pUINphgVFaWNGzd2a9/U1FQiIvy7Wbopg28wZfAN5aEM4J1yrFq16piq1iq8vEIlkMaNG7Ny5Uq39p07dy59+vQp24C8zJTBN5gy+IbyUAbwTjlEpPDoCYC5hGUYhmG4ySQQwzAMwy0mgRiGYRhuMQnEMAzDcItJIIZhGIZbHE0gIvK5iBwRkY3FrBcReVdEtonIehE5r8C6UfZ0nkkiMsp7URuGYRjgfA3kS6xROIszBGvU01hgNPAhgIhEAs9ijejaFXhWRGp4NFLDMAzjLxztB6Kq80Wk8Vk2GQF8bc90tlREqotIXaAPMFNVTwCIyEysRPSdRwJdN5EGexbB2oNQpQ5UqWv9G1YNxJW5iMq/jOxcNh04TXJaFmlZuaRn5ZKenUtWTh71qofTvHZlGkdVIjQo0OlQDaNiyc2Bg+sg5rwy/77y9Y6EMfx12tB99rLilv+NiIzGqr0QHR3N3LlzSx1E+/Wf0uzEStjx9V+WZ4TW4njNLhyv2ZXk6u3ICwwp9bG9KSUlxa3yFyUzR0lKziPhZC6JJ3LZfiqPnBKm/wkQqBUuxFQO4LzoQOKigwgPKt0fdFmWwSmmDL6hPJQBiiiHKuHp+6lxcp392EhQbirLz/+AtIj6ZXpuX08g50xVPwE+AejSpYu61WOzTx/mz/6T3p1i4cwhOHMQTh8gbM9SYnbEE3NgGgRHQLO+0Ol6aDnEJ2smZdFjdcfRFL5YtIufVu0jPTuXwAChXb2q3NIuki6NI6lTNYxKIYGEBQdSKSSQoMAA9p5IY/vRFLYfSWHb0RTW7T3F+A3pfLM1hwGto7m8cwy9W9QiOLDkK6rlofewKYNvKA9lgALlSE+GlZ/Dyi/g1B5rZfWG0HEkNO1D19iBEFqlTM/t6wlkP3+dd7q+vWw/1mWsgsvnejKQvMAwqNnMeuTrdS9kZ8DO+ZD4JyRMg61ToE4H6PMYtBzqk4mktFSVJduP89nCnczeeoSQwACGd6rHpR3rEdeoBpVDz/5nVC2mGu1iqv3fa1Vl9Z5kfl2znynrDzBl/UGiKocwpm9zru/eyKVEYhiGJSTzOMx42kocWWegaR+44H7rB22NJh79DvL1BDIZGCMiE7FumJ9S1YMiMh14ucCN80HA445EGBwGLQZZjyHjYMOPMH8cTLwO6rSHix6FlpdAgH9+KW7Yd4qnft3Aun2nqBkRwn39Y7mheyNqVQl1+5giQlyjGsQ1qsHTw9owP/Eony3cyXO/b+arJbt5dHArLm4bjZSD5GsYHpNyFOa8SPc1E4A8aHs59LoP6nYscdey4mgCEZHvsGoSUSKyD6tlVTCAqn4ETMWar3kbkAbcYq87ISIvAivsQ72Qf0PdUYFB0OlaaH8lbPwJ5o2D72+AxhfCZf+1qpN+Ii0rhzdnJPL5op3UrBzKq/9oz4hOMYQFl+1N8JCgAAa0iaZ/69rEJxzh5albueObVZzfuAZPXtKGTg2ql+n5DMPvqcLGSTD1YchK4WDdgcSMfAUim3g9FKdbYV1bwnoF7i5m3efA556I65wFBkHHa6DdSFjzP5jxFHzYC4a8Ch2v9fnLWvMSj/LkLxvYdzKd67o15NHBragWHuzRc4oI/VpF0zu2Ft+v3MtbMxO5/L+LuKdfLPf1jyUwwLffM8PwijOHYMoDkPAHxHSBER+QtPkQMQ4kD3C+H0j5FhgEXW6BOxdBdDv49U6rRpJ6zOnIipSRncvDP65j1OfLCQ0K4Ifbe/Dy5e09njwKCgoM4PpujYh/qA9XdK7Pu7OTuH78Ug6fzvBaDIbhk9Z+Bx90he2zYdBL8M8ZULuVoyGZBOINNRrDzVNg4IuQNAP+29268e5DDp/O4OqPl/Djqn3c3bcZU++7kK5NIh2Lp0pYMG9c1ZHXr+zIur2nGPrOAuYlHnUsHsNwTG4O/PEQ/HoH1G4Ldy6GnvdAgPN9qkwC8ZaAQKvV1ui5UKkm/O8KWPe901EBsHZvMpe+t5CkIyl8fGMcD1/cymc6/I2Mq8/kMb2IqhzKqM+XMykxi7w8dTosw/COjFPw7VWw4lPoea/1Q7RgS1CHmQTibdFt4dbp0LA7/DIa5r1m3RRzyK9r9nPVx0sICQrg57t6cnHbOo7FUpzY6Cr8encvru7SgN93ZPPwT+vJyS2h16Jh+LsTO+GzQbBzHgx/Dwa96BO1joJ8vRlv+RReHW74GSaPgfiXrE4/l7wJgd6716CqvDUriXdnJ9GtSSQf3hBHZITv9qQPDwlk7D/ak33qEJNW7+N0RjbvXdu5zFuFGYZP2LPU6gqQlws3/gJNejsdUZFMDcQpQSFw+cfQ+2FY/TV8ezVkpnjl1KrKa9MTeHd2Eld1qc83t3Xz6eSRT0QY3iyEF0a0Zebmw9z8xXLOZGQ7HZZhlK0dc+HrEdZYe7fN9tnkASaBOEsE+j0Fl75r/dF8dw1kp3v0lPnJ479zt3Ndt4aMvaKD3/X8vqlHY965phMrd53kuk+XcTwl0+mQDKNs7FoI314DkU3hn7MgqrnTEZ2Vf31zlFdxo+CyD60/nh9GQU6WR06jqrw+w0oe13ZtyEsj2hHgp/0rRnSK4ZOb4kg8fIZrPlnKyVTPvGeG4TV7lsKEq6wOxzdNhoiaTkdUIpNAfEXHq2HYm5A03bq5npdbpodXVSYlZfNBvJU8/nOZ/yaPfP1aRfPFLeez+0Qat361grSsHKdDMgz37FsJ34yEqnVh1GSoXMvpiFxiEogv6XKr1UFo0y8w+V7IK7uWRu/O3saUHdnlJnnk69ksinev6cS6vcncPWE12aZ1luFvDqyxmvVHRMGo3625hvyESSC+puc9cNFjsPYb+POxMmni+/Pqfbw1K5Fe9YLKVfLIN7hdXV66rD3xCUd5dNJ61MFm0YZRKid2WMkjvJqVPKrWczqiUjHNeH1Rn8cgKwWWvG/9QV1wv9uHWrbjOI9OWk+PpjW5pXl6uUse+a7r1pBjKZm8OTORWpVDeXxoa6dDMoyzyzhl3TDXPLjxV6jeoMRdfI2pgfgiEetSVtsrYNZzkDjdrcPsPJbK7d+sokFkJT66IY6gcpo88t3Trzk39WjEx/N3MH7BDqfDMYzi5ebAjzfDie1w9Tc+1bu8NEwC8VUiMOIDa06Rn/4JRxNKtXtyWha3frmCABG+uPl8qlXyXidFp4gIz17aliHt6vDy1C3MN2NnGb5q+uOwfY7VgbjJhU5H4zaTQHxZSCW49jtr0qrvroE016Y8ycrJ4/b/rWL/yXQ+uTGORjUjPByo7wgMEN64qiOxtatw78Q17D2R5nRIhvFXyz+F5Z9AjzFWE34/ZhKIr6tWH66eAKf2wU+3WFXfEjz3+yaW7TzBa1d2oEtj50bUdUqlkCA+vjGOvDzl9v+tIj2rbJtEG4bbts+BaY9Ci8Ew8AWnozlnjiYQERksIgkisk1EHiti/VsistZ+JIpIcoF1uQXWTfZq4N7WsBsMe8vqrT7jybNu+tva/Xy7bA93XNSMEZ1ivBOfD2ocFcE713Rmy6HTPPnLBtMyy3Be8l748Rao1RL+Md7nBkZ0h2OtsEQkEPgAGAjsA1aIyGRV3Zy/jar+u8D29wCdCxwiXVU7eSlc53W+AQ5vhqUfQP3zof3Iv22y/WgKT/y8gfMb1+ChQS0cCNK39G1Vm/v7t+CtWYl0bFCdUT0bOx2SUVHlZsOkf0JejnXTPLSK0xGVCSdrIF2Bbaq6Q1WzgInAiLNsfy3wnVci81UDX4D6XeH3+62hngtIz8rl7gmrCQ0O5L1rzyPIz8a38pR7+jVnQOvavDhlM8t3unYPyTDKXPzLsHcZXPqO37a4Koo4VbUXkZHAYFW9zX59I9BNVccUsW0jYClQX1Vz7WU5wFogBxirqr8Wc57RwGiA6OjouIkTJ7oVb0pKCpUrV3Zr37IUln6YLiv/TVqleqzpPBYNsCqRn2/MZP6+HB6MC6V9raIrlr5ShnPhThnSspXnl6STlQsv9gqncoizzZkr6ufga7xVhhonVtNx/fMcqDuQxJZ/+3o7Z94oR9++fVepape/rVBVRx7ASGB8gdc3Au8Xs+2jwHuFlsXY/zYFdgHNSjpnXFycuis+Pt7tfcvcxl9Un62qOuMZVVWdtGqvNnp0io77c8tZd/OpMrjJ3TKs35uszR7/Q+/6ZpXm5eWVbVClVJE/B1/ilTKcPqj6alPVD7qrZqZ65BTeKAewUov4TnXyOsd+oGDXy/r2sqJcQ6HLV6q63/53BzCXv94fKd/aXgZxN8Oit9m/aipP/rKRbk0i+fcAc9+jOO3rV+OBQS34Y8NBJq0u7s/MMMpQXi5Mug2y02DkF1az/HLGyQSyAogVkSYiEoKVJP7WmkpEWgE1gCUFltUQkVD7eRTQC9hceN9y7eJX0KhWVJpyJ/WCU3j32s7mvkcJbu/djK5NInn2t43sOW76hxgetuAN2LUAhr4OtVs5HY1HOPaNo6o5wBhgOrAF+EFVN4nICyIyvMCm1wAT7WpUvtbAShFZB8Rj3QOpWAkkpBLfNnyOSnmpfFfrS6KrhDodkc8LDBDevKojAQHC/d+vMfOqG55zYC3MexXaXwmdrnM6Go9x9Cerqk5V1Raq2kxV/2Mve0ZVJxfY5jlVfazQfotVtb2qdrT//czbsTtt4/5TPLtUmVznLmofXgCrvnA6JL9Qv0YlXrqsHav3JPNB/HanwzHKo5xM+PUuqBQFQ8ZZwxKVU+aahx/KzMnlwR/WERkRwsCbnrTmTJ7xjNVRySjRiE4xjOhUj3fnJLF6z0mnwzHKm3nj4Mgmq8lupfI9EoRJIH7o7VlJJBw+w9h/tKd6RCgMf88aEvr3e8tk/pCK4IUR7ahTNYyHflxHRrYZ6sQoI/tXw8K3oNP10HKw09F4nEkgfmbV7pN8PG87V3dpQL9W0dbCGo1h4PPWODtrvnE0Pn9RLTyYl69oz46jqbw/Z5vT4RjlQU4m/HonVI6Gi192OhqvMAnEj6Rn5fLQj+uoWy2cp4YVmjCpyz+h0QUw/Qk4ZZqpuuKiFrW4onMMH83bzpaDp50Ox/B3c1+Bo1th+LsQXt3paLzCJBA/8vbsRHYeS+W1kR2oElZofo+AABjxnjXmzpT7zaUsFz09rA3VwoN5dNJ60yrLcN++lbDoHeh8I8QOdDoarzEJxE9sOXia8Qt2cnWXBvRsHlX0RpFNYcCzkDQD1rk3ZEtFUyMihOeGt2X9vlN8sWiX0+EY/ig3GybfA1XqwsX/cToarzIJxA/k5SmP/7yB6uHBPD60hA5JXW+Hhj3gz0chxczI54phHeoyoHVt3piZwO7jqU6HY/ibJR/Akc1Wh8Gwak5H41UmgfiBCcv3sHZvMk8Na031SiFn3zggAC59F7LSYOYz3gnQz4kIL17WjqCAAB7/2cwdYpTCyd0wdyy0vARaDXU6Gq8zCcTHHTmdwbhpW+nVvCaXuTpBVK0W0PMeWPct7Frk2QDLibrVwnlsSCsWbz/Oj6v2OR2O4Q9UYdojIAEw5FWno3GESSA+7oUpm8nMzeOly9ojpenR2vthqNYQ/njAukZrlOi6rg3p0qgGY6dtJTkty+lwDF+3dQok/gl9H4fqDUrevhwyCcSHxSccYcr6g4zp25wmURGl2zmkEgwdZzUrXPKBZwIsZwIChBdGtCM5LYs3ZiQ6HY7hyzLPWHObR7eDbnc4HY1jTALxUelZuTz960aa1Yrg9ouauneQlkOg5VBrUDczzIlL2tSryk09GjNh2W427j/ldDiGr4p/BU4fgGFvQ2BwiZuXVyaB+KgP521n38l0/nN5e0KDAt0/0JBXrWu1fz5W8rYGAP8e2ILIiBCe/m0jeXnmhrpRyMH1sOxDa06eBuc7HY2jTALxQXtPpPHxvO1c2rEe3ZvWPLeDVW8IFz0CW6dQ89iKsgmwnKsWHsxjQ1qzZk8yP602N9SNAlRh6sMQHmn1uargTALxQS9P3UKACI8PKaNJaHqMgaiWNN/2KWRnlM0xy7krOscQ16gGr07byqk00wjBsG2cBHuXWskjvIbT0TjOJBAfs3j7MaZtPMRdfZpRr3p42Rw0KASGvEp4xmFY+t+yOWY5Z91Qb8vJtCzemJngdDiGL8jvW1W3ozXaruFsAhGRwSKSICLbRORvF+lF5GYROSoia+3HbQXWjRKRJPsxyruRe0ZObh7PT95M/Rrh/Ku3mzfOi9OsL8dqdrWm2TxzqGyPXU61rVeNG7s34pulu9l0wNxQr/AWvQOn98PgVyHgHO5LliOOJRARCQQ+AIYAbYBrRaRNEZt+r6qd7Md4e99I4FmgG9AVeFZE/L4++e3yPSQcPsNTl7QmLLjs/0C3N7vFGnJ69otlfuzy6oFBLaleKYQXp2w2PdQrsuS9sOhtaPcPaNTD6Wh8hpM1kK7ANlXdoapZwERghIv7XgzMVNUTqnoSmAn49ewtJ1Otvgc9m9Xk4rZ1PHKO9Er1oNvtsHYCHFjjkXOUN9XCg/n3gFiW7jjBjM2HnQ7HcMrMZwCBAc87HYlPCXLw3DFAwc4J+7BqFIX9Q0R6A4nAv1V1bzH7FjnOh4iMBkYDREdHM3fuXLeCTUlJcXtfV3y9OZMzGTkMrZPGvHnzPHKOlJQUFoT1pFvw/0j7/i7WdnrZ7+Zr9vTnUJR6eUq9COGZSasJPBxOUMC5vWdOlKGsVaQyVEveROdNP7Oz8bXsXrsd2O7x2ErD0c9CVR15ACOB8QVe3wi8X2ibmkCo/fx2YI79/CHgqQLbPQ08VNI54+Li1F3x8fFu71uSrQdPa5PHpuizv2302DlUC5RhxWeqz1ZV3fizR8/nCZ78HM5mztbD2ujRKTp+wY5zPpZTZShLFaYMuTmqH16g+kYb1cxUj8fkDm98FsBKLeI71clLWPuBggPI1LeX/R9VPa6qmfbL8UCcq/v6k1embaFyaBD3D4j1zgnPG2UNwTDjGchO9845/VyfFrW4MDaKd2cnmXGyKpK1E+DQehj0gjU8kPEXTiaQFUCsiDQRkRDgGmBywQ1EpG6Bl8OBLfbz6cAgEalh3zwfZC/zOwuTjjE34Sj39Isteaj2shIQaM3ZfGoPLHnfO+f0cyLCU5e04UxGNm/PSnI6HMMbslJhzn+gfldoe4XT0fgkxxKIquYAY7C++LcAP6jqJhF5QUSG25vdKyKbRGQdcC9ws73vCeBFrCS0AnjBXuZX8vKUl6duoX6NcG7q2ci7J296EbQaBgvfNhNPuahlnSpc07Uh3yzdzfajKU6HY3jakg8g5RAMesnv7hV6i6P9QFR1qqq2UNVmqvofe9kzqjrZfv64qrZV1Y6q2ldVtxbY93NVbW4/vnCqDOfilzX72XzwNA9f3PLcxrty14DnrEtY8yrmXAbu+PeAFoQFB/LK1K0lb2z4r5QjVr+P1pdCw6La9hhgeqI7JiM7l9dnJNCxfjUu7VDPmSCiYiFuFKz6Ao77VssSX1WrSih39W3GrC2HWbz9mNPhGJ4ydyzkZED/55yOxKeZBOKQzxbu5OCpDJ4Y2pqAc2wWek4uegwCQ2G2ad/uqlt7NaFetTDGTttqOheWR8eSYNWXEHcLRDV3OhqfZhKIA46nZPLh3O0MaB1Nt3MdbfdcVYmGnmNg82+wb6WzsfiJsOBA/j2wBev3nWLqBjMsTLkz6zkIrgQXPep0JD7PJBAHvDM7ifTsXB4rq9F2z1XPeyCiltXb1vyidskV59WnRXRlXp+RQHZuntPhGGVl9xJrqtoL7oPKtZyOxueZBOJlu46l8u2yPVxzfgOa167sdDiW0CrWr63di6w5no0SBQYIj1zcip3HUvl+hZntsVxQhZlPQ5W60P1up6PxCyaBeNkbMxMJDgzgPm91GnRV3M0Q2cyqvufmOB2NX+jfujbnN67BO7OTSMsy75nf2zIZ9q2Avk+aToMuMgnEizYdOMXv6w5w6wWNqV0lzOlw/iow2Jok5+hWWPet09H4BRHhsSGtOHomk88X7nQ6HONc5ObAnJegVivodJ3T0fgNk0C86LXpCVQLD2Z072ZOh1K01sOh/vkQ/4qZudBFcY0iGdgmmo/n7eBEqhnixG+tnwjHEqHfU2auj1IwCcRLlu88wdyEo9zZpxnVwoOdDqdoItD/GThzAFZ+5nQ0fuORi1uSmpXDB/HbnA7FcEdOptXvo9551ugMhstMAvECVWXcn1upXSWUUT0aOx3O2TXpDU37WDMXZp5xOhq/EBtdhSvjGvC/JbvZdzLN6XCM0lr5OZzaa/14MkOWlIpJIF4wZ+sRVu4+yb39YwkP8YPqcb9nIO04LP3Q6Uj8xv0DY0Hg3dlmoEW/knkG5r9u/XBq1tfpaPyOSSAelpenvDY9gUY1K3H1+Q1K3sEX1I+zqvKL34M0vxuj0hF1q4VzQ7dGTFq9nx1moEX/sfQjSDsG/Z91OhK/ZBKIh01ed4Cth87wwMAWBAf60dvd7ynr19mit52OxG/c1bcZoUEBvGWGe/cLQdmnYfG71o+l+l2cDscv+dE3mv/Jzs3jzZmJtK5b1bkBE91VuzV0uBqWfQKnDzodjV+IqhzKLb0a8/u6A2w5eNrpcIwSNNzzs/Ujqe+TTofit0wC8aAfV+5jz4k0HhrUwtkBE93V5zHIy4YFrzsdid8YfWEzqoQF8caMRKdDMc7m9EFi9v9h/UiKbuN0NH7L0QQiIoNFJEFEtonIY0Wsf0BENovIehGZLSKNCqzLFZG19mNy4X2dlpmTy/tzkujUoDr9WtV2Ohz3RDaxpr9d9SWcMB3lXFGtUjCjL2zKrC2HWbs32elwjOIseB3RXOtHkuE2xxKIiAQCHwBDgDbAtSJS+KfAGqCLqnYAfgLGFViXrqqd7MdwfMzE5Xs5cCqDBwe1QPy5aWDvhyEgyEw6VQq3XNCEyIgQ3piR4HQoRlGS98CqrzhUZ4D1I8lwm5M1kK7ANlXdoapZwERgRMENVDVeVfMb1i8F6ns5RrekZ+Xyfvw2ujaJ5ILmUU6Hc26q1oXzb4P131vzJBglqhwaxF19mrEg6RhLdxx3OhyjsPmvgQi7G13pdCR+T5yaEEdERgKDVfU2+/WNQDdVHVPM9u8Dh1T1Jft1DrAWyAHGquqvxew3GhgNEB0dHTdx4kS34k1JSaFyZddGz522M5vvE7J4vGsYLSN9p99HacpQUHBWMt2X3s6xqK5safOgByJznbtl8LasXOWR+enUChee6Bb2l1qov5ThbPy1DGHpB+m27C72xwxhbd3r/LIMhXnjs+jbt+8qVf17UzVVdeQBjATGF3h9I/B+MdvegFUDCS2wLMb+tymwC2hW0jnj4uLUXfHx8S5tl5KRrZ1fmKHXf7rU7XN5iqtlKNLMZ1WfraZ6eHMZReOecyqDl329ZJc2enSKxm89/Jfl/lSG4vhtGX6+Q/XF2qqnD/pvGQrxRjmAlVrEd6qTl7D2AwV71tW3l/2FiAwAngSGq2pm/nJV3W//uwOYC3T2ZLCu+nLxLk6kZvHAoBZOh1K2et4LIZWtMYMMl1zdpQEx1cN5a1aSmfrWFxxLsgZNPP82qFLH6WjKBScTyAogVkSaiEgIcA3wl9ZUItIZ+BgreRwpsLyGiITaz6OAXsBmr0VejNMZ2Xwyfwf9WtXmvIY1nA6nbFWKhO53wuZf4dAGp6PxCyFBAYzp15x1e5OZm3DU6XCMuWMhKAx63e90JOWGYwlEVXOAMcB0YAvwg6puEpEXRCS/VdVrQGXgx0LNdVsDK0VkHRCPdQ/E8QTy2YKdnErP5oGB5az2ka/HXRBazdRCSmFkXH0aRIbz5sxEUwtx0uHNsHESdB1tpqotQ0FOnlxVpwJTCy17psDzAcXstxho79noSudUWjafL9zJxW2jaRdTzelwPCO8BvS4G+a+DAfWQD2fuGro04IDA7inXyyP/LSeWVuOMLBNtNMhVUxzX7Euwfa6z+lIyhXTE72MjF+4gzOZOdw/oJzWPvJ1vxPCqluTThkuuaJzDI1qVuItUwtxxsH11nS13e+0LsUaZcYkkDKQnJbFF4t2MbR9HVrXrep0OJ4VVhV63QtJ02HvCqej8QtBgQHc2y+WzQdPM33TYafDqXjmvWpdeu1xt9ORlDsmgZSB8Qt2kpKZw739Y50OxTu63g6ValqXBQyXjOhUjyZREbw9K5E8UwvxnoPrYOsUq/YRXt3paModk0DO0cnULL5YtJNL2telVZ1yXvvIF1rZata7fTbsXe50NH4hKDCA+/rHsvXQGVYdznU6nIpj3jir9tH9TqcjKZdMAjlH4xfuIC07t+LUPvKdf5tdCzEtslx1acd6NKsVwa/bssjLM7UQj8uvffS4y9Q+PMQkkHNwIjWLLxftYmj7urSsU8XpcLzL1EJKLTBAuG9AC/anKNM2HnI6nPJv7qsQVg263eF0JOWWSSDn4NMFVu3jvopW+8hnaiGldkn7utSLEN6ZnWhqIZ50cB0k/AHd7za1Dw8yCcRNJ1Kz+GrxLi5pX5cW0RWs9pHP1EJKLTBAGN4shMTDKaYW4klzx1q1j+6m9uFJJoG46ZP5O0ivyLWPfF3/ZWohpdS1biDNakWYWoinHFgLCVOhxxgriRgeYxKIG06kZvH1kl0M61CP2Ipa+8gXEmH17jW1EJcFiHBv/1gSD6fw5yZTCylz8/LvfdzudCTlnkkgbvh0QX7to7nTofgGcy+k1IZ1sFpkvTMrydRCypKpfXiVSSCldCI1i68XW7WP5rUreO0jn6mFlFpggFULSTh8xtRCypKpfXiVSSClNN5ueXVvP1P7+Ivzb4NKUaYWUgr5tZB3Z5taSJk4uM7UPrzMJJBSOGm3vBravq6591FYSAT0vMeuhZgxslyRXwvZeugM000t5NzNNbUPbzMJpBQ+W7jTrn1U8JZXxcm/FzLP1EJcNaxDPZrWiuAdUws5NwfX2/0+7jK1Dy8yCcRFKVnKl4t3MbRdBex17qrQytblg22zYN8qp6PxC4EBwr39rFrIjM2mFuK2/BF3Ta9zr3I0gYjIYBFJEJFtIvJYEetDReR7e/0yEWlcYN3j9vIEEbnY07FO351dsUbcdVfXf0F4pKmFlMKlHevRNCqCd2ZvM7UQdxzaYEbcdYhjCUREAoEPgCFAG+BaEWlTaLN/AidVtTnwFvCqvW8brDnU2wKDgf/ax/OI5LQsZu3OZmj7Oqb2UZLQKtBzDCTNMLUQFwUGCPf0b86Wg6eZsdnMF1Jq816F0Kqm17kDSkwgInKPiNTwwLm7AttUdYeqZgETgRGFthkBfGU//wnoLyJiL5+oqpmquhPYZh/PIz5fuJP0HEztw1VdR1vT38571elI/MalHaz5Qt6dnWRmLSyNQxthy+927cMTX1PG2bgyJ3o0sEJEVgOfA9O1bP7CY4C9BV7vA7oVt42q5ojIKaCmvXxpoX1jijqJiIwGRgNER0czd+7cUge6PimTzlHKoa2rObS11Lv7jJSUFLfK746GdYbSNGkCqyZ/ypmqZZd4vVkGTymuDAPqZvPphlTe+mE250W78l/TOb7yObTdOJYagZVYmtOBnFLG4ytlOFeOlkNVS3wAAlyMVUvYBrwMNHNl37MccyQwvsDrG4H3C22zEahf4PV2IAp4H7ihwPLPgJElnTMuLk7dNXvOHLf39RXx8fHeO1n6KdVXGqpOuLpMD+vVMnhIcWXIzsnVi8bN0aHvzNe8vDzvBlVKPvE5HNqo+mxV1dkvurW7T5ShDHijHMBKLeI71aV7IPYBDtmPHKAG8JOIjDuH3LUfaFDgdX17WZHbiEgQUA047uK+ZSpAxJOHL3/CqlotshKnwYE1TkfjF4ICA7i7b3M2HTjNrC1HnA7H980bByFVrKa7hiNcuQdyn4isAsYBi4D2qnonEAf84xzOvQKIFZEmIhKCdVN8cqFtJgOj7OcjgTl2MpsMXGO30moCxAJmDA1f02201SZ/3rn8zqhYLu8cQ8PISrwzO9HcCzmbw5th869Wp8FKkU5HU2G5UgOJBK5Q1YtV9UdVzQZQ1TxgmLsnVtUcYAwwHdgC/KCqm0TkBREZbm/2GVBTRLYBDwCP2ftuAn4ANgN/Anerqplo2teEVbNqIQlTrWEmjBIFBQYwpl9zNu4/zZytphZSrPl27aPH3U5HUqGVmEBU9VlV3V3Mui3ncnJVnaqqLVS1mar+x172jKpOtp9nqOqVqtpcVbuq6o4C+/7H3q+lqk47lzgMD+p2u5VI5poWWa66vHMMDSLDece0yCrakS2w6VerhmtqH44yPdENzwqrZk0rmvCHqYW4KDgwgHv6xrJ+3yniE0wt5G/mjbPGXusxxulIKjyTQAzPy6+FmHshLrv8PKsW8vYsUwv5iyNbYdMvVl8jU/twyfGUTN6elcip9OwyP7ZJIIbnhVe3WspsnWINemeUyNRCijF/HARXMrWPUvhkwQ7enZ3E0TOZZX5sk0AM7+h2hzXYnemd7jJTCynkaAJs/Nm69xFR0+lo/MKxlEy+Xryb4R3r0bx25TI/vkkghneEV7eGm9g6xRr8ziiRqYUUMi+/9nGP05H4jU/n7yAzJ5d7PDQMk0kghvd0v9PUQkrJ1EJsRxNg4yToepupfbjoWEomXy/ZzYhOMTSrVfa1DzAJxPCm/FrIlt9NLcRFphZim/eqVfvoeZ/TkfiNT+zaxxgPTr9tEojhXfm1EDN3ussqfC3kyBZz76OUrNrHLo/WPsAkEMPbwqtDj/wWWaZfiCsqfC1k3qtWv4+e9zodid/4ZP4OsnLyuMeDtQ8wCcRwQvc77d7pphbiqvxayFszK1gt5PBmu9e5GfPKVUfPWLWPyzrF0NSDtQ8wCcRwQsExssxIvS4JDgzgnn6xbNh/itkVaaTeea9CSGXT76MUPpm/naycPI/e+8hnEojhjG53QFh1UwsphSs6x9CoZiXenFlBRuo9vMkacbf7Hab24aKjZzL539LdXNbZ87UPMAnEcEpYVeh5DyT+aeZOd1FQYAD39Y9l88HTTN9UAeZOnzvWmuvcjLjrsg/nbic7V7mnn3em3zYJxHBOt9shPBLmvuJ0JH5jeMd6NK0VwduzEsnLK8e1kEMbYMtkM9d5KRw6lcE3y3ZzRecYmkRFeOWcJoEYzgmtYtVCts2EvSucjsYv5NdCth46w7SNh5wOx3PmjrWae3e/0+lI/MZ/524jL0+510O9zotiEojhrK6joVJNUwsphWEd6hFbuzJvz0oktzzWQg6ssZp597jL1D5ctD85nYnL93JllwY0iKzktfM6kkBEJFJEZopIkv3v3/5KRKSTiCwRkU0isl5Eri6w7ksR2Skia+1HJ68WwCg7oZWh132wfTbsXuJ0NH4hMEC4f0ALko6kMGX9AafDKXvxL1uJw9Q+XPb+nCQAj/f7KMypGshjwGxVjQVm268LSwNuUtW2wGDgbRGpXmD9w6rayX6s9XTAhgedfxtE1IY5L0FFaF1UBoa0q0OrOlV4Z1YSObl5TodTdvYuh6QZ1o+KsGpOR+MXjqTl8ePKfVzbtQH1qod79dxOJZARwFf286+AywpvoKqJqppkPz8AHAFqeStAw4tCIuDCB2H3Qtg5z+lo/EKAXQvZcSyV39aWo1rInJcgopZ1adNwyW/bsgkMEO7q693aB4A40Z5cRJJVtbr9XICT+a+L2b4rVqJpq6p5IvIl0APIxK7BqGqRs6WIyGhgNEB0dHTcxIkT3Yo5JSWFypU9367ak3y5DJKXTbdld5AVEsnq88aBSJHb+XIZXFVWZVBVnluSQVq28sqF4QQFFP2eeYInPofqJ9fTad3TbGv2T/Y1GF6mxy5KefhbOpSax+ML0hjUKJhrW4d67Dx9+/Zdpapd/rZCVT3yAGYBG4t4jACSC2178izHqQskAN0LLRMgFCuxPONKTHFxcequ+Ph4t/f1FT5fhpVfqD5bVXXrtGI38fkyuKAsyzB7yyFt9OgU/WbprjI7pivK/HPIy1MdP0j19VaqWelle+xilIe/pXu/W62xT0zRo2cyPHoeYKUW8Z3qsUtYqjpAVdsV8fgNOCwidQHsf4scm0FEqgJ/AE+q6tICxz5olysT+ALo6qlyGF7U6Xqo0QTiX4K8cnRd34P6tqxNXKMavDd7GxnZuU6H477ts2HvUuj9EASHOR2NX0g8fIbJ6w4woGEwUZU9V/s4G6fugUwGRtnPRwG/Fd5AREKAX4CvVfWnQuvyk49g3T/Z6MlgDS8JDIY+j9udyP72J2EUQUR4aFBLDp3O4Julu50Oxz2q1r2P6g2h841OR+M3Xp+eQOWQIIY2CXYsBqcSyFhgoIgkAQPs14hIFxEZb29zFdAbuLmI5roTRGQDsAGIAl7yavSG57QfCbVaWU058/z4F7UX9WhWkwtjo/jv3O2kZOY4HU7p5Q+qedGjEBTidDR+Ye3eZGZsPsy/ejelcoj37n0V5kgCUdXjqtpfVWPtS10n7OUrVfU2+/k3qhqs/7+p7v8111XVfqra3r4kdoOqpjhRDsMDAgKh7xNwLBE2/Oh0NH7jwUEtOZGaxecLdzodSunk5cKc/0BkM+hwjdPR+I3Xpm+lZkQIt17QxNE4TE90w/e0uhTqdLB6p+dkOR2NX+jUoDqD2kTz6fwdJKf50Xu24Sc4sgn6PQWBQU5H4xcWbTvGom3HuatvcyqHOvuemQRi+J6AAOj3NJzcBau/KnFzw/LgoJakZOXw0bwdTofimpwsq8FE3Y7Q5jKno/ELqsq46QnUqxbG9d0aOh2OSSCGj4odCA17wrxxkGmuULqiZZ0qjOhYjy8X7+TImQynwynZqi8heQ/0f9b60WCUaObmw6zbm8x9A2IJCw50OhyTQAwfJQIDn4fUI7D0Q6ej8Rv3D2hBdq7y/pxtTodydpkpMH8cNL4QmvVzOhq/kJunvD4jgaa1IvjHefWdDgcwCcTwZQ26QstLYNE7kHrc6Wj8QuOoCK45vwHfLtvDrmOpTodTvKUfQupRGPBcsaMOGH/129r9JB5O4cGBLQkK9I2vbt+IwjCK0/8ZyE6FBW84HYnfuK9/LMGBAbw2I8HpUIqWehwWvwuthkH9v4+OYfxdVk4eb81KpG29qgxpV8fpcP6PSSCGb6vdCjpeBys+ta6XGyWqXTWMf13YhD/WH2Td3mSnw/m7hW9CVorVUMJwyYRlu9l7Ip1HBrciwItjnpXEJBDD9/V9HBCIN5NOuepfvZsSGRHC2Glb88eP8w2n9sHyT60fBbVbOR2NXzidkc27s5O4oHkUvWOjnA7nL0wCMXxftfrQ9V+w7jsiUvx0uA4vqxIWzL39mrNkx3HmJR51Opz/L/4VQKFPUVMAGUX5aO52TqZl89iQVoiP3S8yCcTwDxc+CKFVaLLzG6cj8RvXdWtEw8hKjJ221Temvj20AdZOsOb6qN7A6Wj8woHkdD5buJPLO8fQLsb3JtgyCcTwD5Ui4YL7iTq+HHYtdDoavxASFMBDF7dk66Ez/Lpmv7PBqMKMpyC8ujXiruGSN2cmogoPDmrhdChFMgnE8B/d7yIjNAqmP2GGe3fRsPZ1aR9TjTdnJjo73Pu22bBjrjVgYngN5+LwI1sOnmbS6n3c3Ksx9WtUcjqcIpkEYviP4HB2NrkRDq6DDT84HY1fCAgQHhvSiv3J6Xy9ZJczQeTmWLWPGk2gyz+dicEPjZ22laphwdzdx/tT1brKJBDDrxyO7g31OsPsFyArzelw/EKv5lH0aVmL92Zv43hKkTM/e9baCXB0izWygBmu3SULk44xL/EoY/o2p1ol5+b7KIlJIIZ/kQAY9B84vR+WfOB0NH7jqUtak5ady1uzEr174swUiP8PNOgGrT0/z3l5kJenvDJtCzHVw7mxRyOnwzkrRxKIiESKyEwRSbL/LfKiqIjkFphManKB5U1EZJmIbBOR7+3ZC42KonEvqxfzwrfgzGGno/ELzWtX4YZuDfl22R4SDp3x3okXvwcph62k72NNUH3VT6v2senAaR4Z3NInBkw8G6dqII8Bs1U1Fphtvy5KeoHJpAr+fHkVeEtVmwMnAXNhtaIZ+ALkZlq/bg2X3D+gBZVDg3jpj83e6Vx4+qA1ZEnby6HB+Z4/XzlwJiObcdO3EteoBsM71nM6nBI5lUBGAPkTPXyFNa+5S+x50PsB+fOkl2p/o5yo2czqT7Dmf3B4k9PR+IUaESHcN6AFC5KOEZ9wxPMnnP0C5GZbw7UbLnk/fhvHUrJ49tI2PtdpsChOJZBoVT1oPz8ERBezXZiIrBSRpSJymb2sJpCsqvmTP+8DYjwXquGzej8MoVVh+pNWPwOjRDd2b0TTqAhe+mML2bkebAq9dwWs+xZ63A2Rzk676i92Hkvl84U7uTKuPh3qV3c6HJeIp6qyIjILKGrYyCeBr1S1eoFtT6rq3+6DiEiMqu4XkabAHKA/cApYal++QkQaANNUtV0xcYwGRgNER0fHTZw40a3ypKSkULlyZbf29RXlsQwx+34ndtt4NrZ9nGO1ujsYmeuc/hzWHsnh7dWZXN8qhIGN3Wvhc9YyaB7nrX6Y0MwTLO/6X3KDws8hWs9x+nMo7J3VGWw5nsvY3uFUD3X9t703ytG3b99Vqvr3oZNV1esPIAGoaz+vCyS4sM+XwEhAgGNAkL28BzDdlfPGxcWpu+Lj493e11eUyzLkZKt+0F31zXaqWWmOxFRaTn8OeXl5ev2nS7XDc9P1REqmW8c4axlWfaX6bFXVdd+7F6CXOP05FDQ/8Yg2enSK/jd+W6n39UY5gJVaxHeqU5ewJgOj7OejgN8KbyAiNUQk1H4eBfQCNtuFicdKJsXub1QQgUEwZByc2gML33Y6Gr8gIjw1rDVnMrJ5Y2YZzxmSngyznocG3aH9lWV77HIqJzePF37fTKOalbj1gsZOh1MqTiWQscBAEUkCBtivEZEuIjLe3qY1sFJE1mEljLGqutle9yjwgIhsw7on8plXozd8S5MLod0/rGa9J3Y6HY1faFWnKjf1aMyEZXtYvy+57A4871VIOw5Dx5lmuy6asGwPSUdSeHJoa0KDfLvZbmGOJBBVPa6q/VU1VlUHqOoJe/lKVb3Nfr5YVdurakf7388K7L9DVbuqanNVvVJVHehea/iUgS9CQJB1Q91wyQODWhBVOZSnf91YNqP1HtkCyz6GuJuhbsdzP14FcCwlkzdnJtKreU0GtimuLZHvMj3RjfKhWgxc9DAk/AFJM52Oxi9UDQvmyaGtWbfvFBNXnONsj6ow7VEIrWJmGiyFl6duIS0rh+eHt/OLZruFmQRilB/d74Kaza0vshxTKXXFiE716N40knF/JpzbOFmbf4Od86DfUxBRs+wCLMcWbz/Gz6v3c3vvZjSv7TutwUrDJBCj/AgKhSGvwontsOR9p6PxCyLCiyPakZqZw6t/bnXvIBmnrKRdpz3E3VK2AZZTWTl5PP3rRhpGVmJMP98dbbckJoEY5UvzAdY4WfNeMzfUXRQbXYV/XtCEH1buY9XuE6U/wOwXIPUIXPqO1SrOKNGnC3aw/WgqL4xo6/PjXZ2NSSBG+TP0NeuG+pT7TQ91F93bP5a61cJ46tdN5JSmh/re5bDiM+h6O8TEeS7AcmTP8TTenZ3EJe3r0qdlbafDOScmgRjlT9V6MOBZawa8de6NPFDRRIQG8fSwNmw5eJovF+9ybafcbPj9Puv97mdav7lCVXn6t40EBQhPD2vjdDjnzCQQo3zq8k9rDorpj0PKUaej8QtD2tVhQOvavD4jgV3HUkveYfG7cGQzDH3dan1llGjaxkPMSzzKg4NaUqdamNPhnDOTQIzyKSAALn3XmtBo+uNOR+MXRISXLmtPcEAAj05aT95Z+oaEpx2EeeOsSaJaDfVilP4rOS2L5yZvom29qtzk4xNFucokEKP8qt0Kej8EG340fUNcVKdaGE8Na82ynSf4dnkxfUNUaZH4XwgMsYaRMVzy/O+bOZGaxbiRHQgKLB9fveWjFIZRnAv+DVEtYcq/rdqIUaKrujTgguZRvDJ1C/uT0/++wdoJ1EheD/2fgap1vR+gH5q5+TC/rNnP3X2b07ZeNafDKTMmgRjlW1AoDH8XTu2FOS86HY1fEBFeuaI9Cjz+84a/zl6YvAemPUZytbbWfSajRCdTs3jilw20rluVu/v6b5+PopgEYpR/DbtbzUyXfQTb452Oxi80iKzEIxe3ZH7iUSat3m8tzMuDX+8ClK2t7rPuMxkleu73TZxMzeL1KzsQElS+3rPyVRrDKM6A5yCqhfUFmH7S6Wj8wk09GtOlUQ1e+H0Th09nwPKPYdcCGDyWjHD/G/jPCdM3HeK3tQcY0698XbrKZxKIUTGEVIIrPrF6TP/xoNPR+IWAAGHcyA5k5ebxxoTf0VnPQYvB0PkGp0PzCydTs3jyl420KYeXrvKZBGJUHPU6Q5/HYOMkWP+j09H4haa1KvPcJS24/uDLZEiY1TTaD0eN9TZV5alfN3IqPYs3rupIcDlpdVVY+SyVYRSn17+tDoZ/PAjJe52Oxi9cnf4DHQN28FDazaw/Fep0OH7hu+V7+WPDQf49sAWt61Z1OhyPcSSBiEikiMwUkST73xpFbNNXRNYWeGSIyGX2ui9FZGeBdZ28XQbDTwUGweUfg+bCr3daN4aN4u1dgcx/jaw2V7Iqojf3TVxLamaO01H5tK2HTvP875u4MDaKO3o3czocj3KqBvIYMFtVY4HZ9uu/UNV4Ve2kqp2AfkAaMKPAJg/nr1fVtV6I2SgvIpvA4LHWDeHF7zodje9KOwE/3gzVYgi59HXeuroTu46n8vzvm5yOzGelZeUw5ts1VA0P5s2rOhEQUL4v9zmVQEYAX9nPvwIuK2H7kcA0VU3zZFBGBdL5BmsYjtkvwK5FTkfje/Ly4Od/WY0OrvoawqvTo1lN7u7TnB9W7mP5QVMLKcpzkzex/WgKb1/diVpVyv/lPlEHhrsWkWRVrW4/F+Bk/utitp8DvKmqU+zXXwI9gEzsGkxx86KLyGhgNEB0dHTcxInujc6akpJC5cr+OWtYPlOGvwrMSSNu1YME5aSxssubZIV6ZyY9f/gcGu36gSa7JpAYewcHYob83/KcPOXlZRkcTMnl+V6VqF3Jf2+jlvXnsORADh+vz+TSpsH8o0VImR23JN74e+rbt+8qVe3ytxWq6pEHMAvYWMRjBJBcaNuTZzlOXeAoEFxomQChWDWYZ1yJKS4uTt0VHx/v9r6+wpShCIc3q75UR3X8INWcrLI9djF8/nPYHq/6XHXVn25Tzcv72+rdx1K1zVNTdNCb8zQlI9v78ZWRsvwcdhxN0TZPT9ORHy7S7JzcMjuuK7zx9wSs1CK+Uz3280FVB6hquyIevwGHRaQugP3vkbMc6irgF1XNLnDsg3a5MoEvgK6eKodRztVuDcPfg71LYcbTTkfjvNMHYdJtUDMWhr1VZJPdhjUrcWfHMJKOnOGhH9f9daiTCuhMRjZ3/G8VwUEBvHNN53IzUKIrnCrpZGCU/XwU8NtZtr0W+K7gggLJR7Dun2ws+xCNCqP9SOh2Jyz7EDb85HQ0zsnNhp9uhaxU675HaPGXRdpFBfL4kNZM23iI9+ds82KQviU3T7lv4lq2HU3hg+vOo171cKdD8iqnEshYYKCIJAED7NeISBcRGZ+/kYg0BhoA8wrtP0FENgAbgCjgJW8EbZRjg16EBt1h8j1weLPT0XifqjUF8J7FVmfB2q1K3OW2C5tweecY3piZyKzNhz0fow8aO20Lc7Ye4fnhbenVPMrpcLzOkQSiqsdVtb+qxtqXuk7Yy1eq6m0FttulqjGqmldo/36q2t6+JHaDqppxuo1zExgMV31lzaw34Uo4fcDpiLxr/uuw5hvo/Qh0uNKlXfJH7W0fU437v1/LtiNnPBykb/lhxV4+XbCTUT0acUP38jFBVGlVnIt1hlGSKnXg+h8hI9lKIhmnnI7IO9Z9D/EvQYeroe8Tpdo1LDiQj2+MIyw4gH99vYoTqVkeCtK3LNtxnCd/3cCFsVHlYm5zd5kEYhgF1e0IV/8Pjm6FiddDTpGtw8uPnQvgt7uh8YUw/H23xrmqVz2cj26I40ByOjd/sZwzGdkl7+TH9hxP484Jq2kQWYn3rzuvQt00L6ziltwwitOsH4z4wOqp/utd5Xe4k6MJ8P31ENnUSppB7vdd6NI4kv9efx6bDpzmX1+vJCM7twwD9R0HT6Vz/WdLyc1TPht1PtXCg50OyVEmgRhGUTpeY80hsvEnmPWM09GUveS98M1ICAy1LtuF/204ulLr3zqaN67syLKdJxjz7RpycstX4j1yOoPrPl1Gcmo2X9/alSZREU6H5DiTQAyjOL3uh66jYfF7MP81p6MpOyd3wRdDrXs8130PNcruBvBlnWN4fnhbZm05zCM/rScvr3z0ETmWksl145dx+HQGX956Ph0bVHc6JJ8Q5HQAhuGzRKxBFzNOwZyXrP4R/Z/17/kwjm+Hr4ZDVgqM+s2aI6WM3dSjMafSsnljZiJVwoJ4bnhbxI/fs5OpWdwwfhn7Tqbx5S1diWsU6XRIPsMkEMM4m4BAuOwjCK4EC9+yksjgV/1zPvBj2+CrYVbDgFG/Q90OHjvVmH7NOZ2RzacLdnImM4dX/9HBLydVOpWezU2fL2fHsVQ+G9WF7k29M16avzAJxDBKEhBgDesREgFL3reSyKXvWnOL+IujCfDVpZCXCzdPgei2Hj2diPDE0NZUDQvmjZmJHEvJ4sPrzyMi1H/es70n0rj1yxXsOp7KxzfGcWFsLadD8jn+95PAMJwgAoNegj5PwNoJMOlW/2niu3MBfDHE6m1+8x8eTx75RIR7+scy9or2LEw6yrWfLuVYin+8Z6t2n+SyDxZx+HQGX93alX6top0OySeZBGIYrhKBPo/CoP/A5t+sG9G+PC2uKiz9CL4eAZVqwq1/ujRESVm7pmtDPrmxC4mHz/CPDxez+3iq12Mojd/XHeDaT5dSOSyIX+7uRc9mFW+IEleZBGIYpdVzjDXY4NEE+Lg3bJvldER/l51uTdn756PQ4mK4bTbUdG561QFtovn2X905lZ7NiA8WMX3TIcdiKY6q8v6cJO75bg0dYqrxy129aFbLt+dtcZpJIIbhjjYjYPRcqFLX6k8R/4p1f8EXJO+Fzy+Gdd9Zl9yungBhVZ2OivMa1uCXu3pRv0Y4t/9vFY//vIG0LN+Y2fDQqQxu/XIFr89I5LJO9Zjwr25ERnhvUih/ZRKIYbgrqjncNsvqdDhvLEwYCaf2ORdPXi6s+Aw+6gUndsK131uX3HyoxViTqAh+vrMXt1/UlIkr9jDsvYVs3O/cmGOqyo8r9zLwrXks2XGcZy9tw1tXdyI0KNCxmPyJ7/xlGYY/CqkEl30Il74DuxfDe11g7ljISvNuHAfWwPgB8McDUKeDVTtqOdi7MbgoJCiAx4e0ZsI/u5GWmcvl/13Eu7OTvF4bOZmRx61fruDhn9bTuk5V/ryvN7f0auLXfVa8zSQQwzhXIhB3M4xZYX1pz30FPugKG3+2bmR7UnoyTH0YPu1n1X6uGG/18XDwfoerejaPYtp9FzKoTR3enJlI73Fz+XLRTjJzPHspMDkti7dnJfLEwvT/q3VMHN2dxmZoklLzn0bZhuHrqjeEK7+E8/9l3bz+6RZY9jF0vwNaDoWg0LI719FEWDHeus+RlWKds+8TEF697M7hBTUiQvjg+vO4dfcJxv2ZwHO/b+bTBTu5r38sV5wXU6Yj3R46lcH4BTv4dvke0rJy6VQrkLdHXWgSxzlwJIGIyJXAc0BroKuqrixmu8HAO0AgMF5V82cubAJMBGoCq4AbVbViTERg+L7GvWD0PFjzP5g3Dn682RqssMPV0PkG94+bmwMJU63EsXMeBARD28ug5z3WMPR+LK5RJBNHd2fhtmO8Pj2BRyat57UZCVzcNpqh7erStUmkW8kkLSuHZTtO8OfGQ/yyZj+5qlzaoS539mnOwa2rTPI4R07VQDYCVwAfF7eBiAQCHwADgX3AChGZrKqbgVeBt1R1ooh8BPwT+NDzYRuGiwICrctanW+EHfHWbH8rP4dlH9ElohGcuhCi20OddhDdruiaw5nDsG8F7F8J+1bC/tWQnQpV60O/p+G8UVC5/PSOFhEujK3FBc2jmLXlCD+v3sekVfv5ZukeIiNCGNg6mi6Na1C/RiXq1winbrWw/0sqqkpaVi4n07I4ciaTZTtOsCDpKCt3nSQrN4+w4ACuOr8+t/duRoPISgAc3OpkacsHRxKIqm4BSrpZ1RXYpqo77G0nAiNEZAvQD7jO3u4rrNqMSSCG7wkIhOYDrEfaCdjwI1lLJ0DCn1ZSyRdW3bpfkpfz/x9q3wsICIY67a3aS7O+0Hygfw2jUkoiwsA20QxsE016Vi7zEo8wbeMh/thwkO9X/v+Om4EBQp2qYeTk5XEyLZusnL8OH9+qThVu7tWYC2OjOL9xJGHBpmVVWRP19E2+s51cZC7wUFGXsERkJDA4f450EbkR6IaVLJaqanN7eQNgmqq2K+Yco4HRANHR0XETJ050K9aUlBQqV/bvTkWmDL4hJSWFyhERhGSdpHLKLiJSdxKWcRSVwL88soOrcrpqC1IqNyUv0Lf6JDjxOeTkKScylGPpytH0PI6lK8fTlUCBKiFC5WCICBGqBAtNqgVQI+zsl7zKw98SeKccffv2XaWqXQov99jPGBGZBdQpYtWTqvqbp85bmKp+AnwC0KVLF+3Tp49bx5k7dy7u7usrTBl8gymDbygPZQBny+GxBKKqA87xEPuBBgVe17eXHQeqi0iQquYUWG4YhmF4kS/3A1kBxIpIExEJAa4BJqt1zS0eGGlvNwrwWo3GMAzDsDiSQETkchHZB/QA/hCR6fbyeiIyFcCuXYwBpgNbgB9UdZN9iEeBB0RkG1ZT3s+8XQbDMIyKzqlWWL8AvxSx/AAwtMDrqcDUIrbbgdVKyzAMw3CIL1/CMgzDMHyYSSCGYRiGW0wCMQzDMNxiEohhGIbhFkd7onubiBwFdru5exRwrAzDcYIpg28wZfAN5aEM4J1yNFLVvw28VqESyLkQkZVFdeX3J6YMvsGUwTeUhzKAs+Uwl7AMwzAMt5gEYhiGYbjFJBDXfeJ0AGXAlME3mDL4hvJQBnCwHOYeiGEYhuEWUwMxDMMw3GISiGEYhuEWk0BcICKDRSRBRLaJyGNOx1NaIvK5iBwRkY1Ox+IuEWkgIvEisllENonIfU7HVFoiEiYiy0VknV2G552OyV0iEigia0RkitOxuENEdonIBhFZKyJ/mxHVH4hIdRH5SUS2isgWEenh9RjMPZCzE5FAIBEYCOzDmqfkWlXd7GhgpSAivYEU4Ovipv71dSJSF6irqqtFpAqwCrjMzz4HASJUNUVEgoGFwH2qutTh0EpNRB4AugBVVXWY0/GUlojsArqoqt92JBSRr4AFqjrenjOpkqomezMGUwMpWVdgm6ruUNUsYCIwwuGYSkVV5wMnnI7jXKjqQVVdbT8/gzVHTIyzUZWOWlLsl8H2w+9+wYlIfeASYLzTsVRUIlIN6I09F5KqZnk7eYBJIK6IAfYWeL0PP/viKm9EpDHQGVjmcCilZl/6WQscAWaqqt+VAXgbeATIcziOc6HADBFZJSKjnQ7GDU2Ao8AX9qXE8SIS4e0gTAIx/IqIVAYmAfer6mmn4yktVc1V1U5AfaCriPjVJUURGQYcUdVVTsdyji5Q1fOAIcDd9mVefxIEnAd8qKqdgVTA6/dnTQIp2X6gQYHX9e1lhpfZ9w0mARNU9Wen4zkX9uWGeGCww6GUVi9guH0PYSLQT0S+cTak0lPV/fa/R7BmR/W3GU73AfsK1GB/wkooXmUSSMlWALEi0sS+UXUNMNnhmCoc+wb0Z8AWVX3T6XjcISK1RKS6/Twcq2HGVkeDKiVVfVxV66tqY6z/C3NU9QaHwyoVEYmwG2JgX/YZBPhVC0VVPQTsFZGW9qL+gNcblDgyJ7o/UdUcERkDTAcCgc9VdZPDYZWKiHwH9AGiRGQf8KyqfuZsVKXWC7gR2GDfQwB4QlWnOhdSqdUFvrJb9gUAP6iqXzaD9XPRwC/WbxKCgG9V9U9nQ3LLPcAE+4ftDuAWbwdgmvEahmEYbjGXsAzDMAy3mARiGIZhuMUkEMMwDMMtJoEYhmEYbjEJxDAMw3CLSSCGYRiGW0wCMQzDMNxiEohhOEhEzheR9fZcIRH2PCF+NT6WUXGZjoSG4TAReQkIA8Kxxjd6xeGQDMMlJoEYhsPsoShWABlAT1XNdTgkw3CJuYRlGM6rCVQGqmDVRAzDL5gaiGE4TEQmYw2N3gRr2t4xDodkGC4xo/EahoNE5CYgW1W/tUfpXSwi/VR1jtOxGUZJTA3EMAzDcIu5B2IYhmG4xSQQwzAMwy0mgRiGYRhuMQnEMAzDcItJIIZhGIZbTAIxDMMw3GISiGEYhuGW/weFL6bUctuzZwAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x, y1)\n",
"plt.plot(x, y2) # adding cosine curve\n",
"plt.grid()\n",
"plt.xlabel(\"x\")\n",
"plt.ylabel(\"y\")\n",
"plt.title(\"Sine and cosine curves\");"
]
},
{
"cell_type": "markdown",
"id": "2054393e",
"metadata": {},
"source": [
"### Adding a legend"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "355d3b1e",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# adding a legend thx to the argument `label` of plot and the function `legend` of pyplot\n",
"\n",
"plt.plot(x, y1, label=\"sin\") # adding a label for the legend\n",
"plt.plot(x, y2, label=\"cos\") # adding a label for the legend\n",
"plt.grid()\n",
"plt.xlabel(\"x\")\n",
"plt.ylabel(\"y\")\n",
"plt.title(\"Sine and cosine curves\")\n",
"plt.legend(); # adding legend"
]
},
{
"cell_type": "markdown",
"id": "4c43449f",
"metadata": {},
"source": [
"### Customize the figure size"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "97965e64",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# choosing the size of the figure\n",
"\n",
"plt.figure(figsize=(15, 5)) # where figsize sets width x height in inches\n",
"plt.plot(x, y1, label=\"sin\")\n",
"plt.plot(x, y2, label=\"cos\")\n",
"plt.grid()\n",
"plt.xlabel(\"x\")\n",
"plt.ylabel(\"y\")\n",
"plt.title(\"Sine and cosine curves\")\n",
"plt.legend();"
]
},
{
"cell_type": "markdown",
"id": "46c9e634",
"metadata": {},
"source": [
"### Customize the Axes"
]
},
{
"cell_type": "markdown",
"id": "50624632",
"metadata": {},
"source": [
"- fill between curves"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "b66a706c",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# fill between curves\n",
"\n",
"plt.figure(figsize=(15, 5))\n",
"plt.plot(x, y1, label=\"sin\")\n",
"plt.plot(x, y2, label=\"cos\")\n",
"plt.grid()\n",
"plt.xlabel(\"x\")\n",
"plt.ylabel(\"y\")\n",
"plt.title(\"Sine and cosine curves\")\n",
"plt.legend();\n",
"\n",
"# in the interval x, fill with red color the space between 0 and y1 with a 0.7 \"transparency degree\"\n",
"plt.fill_between(x, 0, y1, color=\"red\", alpha=0.7)\n",
"\n",
"# in the interval x, fill with blue color the space between 0 and y2 with a 0.2 \"transparency degree\"\n",
"plt.fill_between(x, 0, y2, color=\"blue\", alpha=0.2);"
]
},
{
"cell_type": "markdown",
"id": "209553e8",
"metadata": {},
"source": [
"- set the limits of both x-axis and y-axis"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "cb4537fc",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# set the limits\n",
"\n",
"plt.figure(figsize=(15, 5))\n",
"plt.plot(x, y1, label=\"sin\", linestyle='dashed', color=\"red\", linewidth=10)\n",
"plt.plot(x, y2, label=\"cos\", linestyle='dashdot', color='blue', linewidth=2)\n",
"plt.grid()\n",
"plt.xlabel(\"x\")\n",
"plt.ylabel(\"y\")\n",
"plt.title(\"Sine and cosine curves\")\n",
"plt.legend();\n",
"plt.fill_between(x, 0, y1, color=\"red\", alpha=0.7)\n",
"plt.fill_between(x, 0, y2, color=\"blue\", alpha=0.2)\n",
"plt.xlim(1, 4)\n",
"plt.ylim(-1, 1);"
]
},
{
"attachments": {
"image.png": {
"image/png": "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"
}
},
"cell_type": "markdown",
"id": "f4f16bc5",
"metadata": {},
"source": [
"## 6. Subplots \n",
"\n",
"Let us clarify the differences between several terms that will be used later. We call:\n",
"\n",
"- **figure**, the final image that may include one or several axes;\n",
"- an **Axes**, a particular \"cell\" of the figure which contains one plot (including graphs, x-axis, y-axis, title, ...). We can also call it a *subfigure*;\n",
"- **subplots**, a group of Axes contained in a figure. Therefore leading to a multiple plots coexisting \"side-by-side\" in a figure.\n",
"\n",
"![image.png](attachment:image.png)\n",
"\n",
"Up until now, we have seen a single figure containing a single Axes. Let us add more Axes to the current figure. To do so there are many approaches available in matplotlib. We will give one of the most well-known approach (among many others) based on the pyplot interface:"
]
},
{
"cell_type": "markdown",
"id": "b12eba3e",
"metadata": {},
"source": [
"### Subplots with the pyplot interface\n",
"\n",
"We can create a figure with subplots with the function **`subplot`** of `pyplot`\n",
"\n",
"```\n",
"subplot(nrows, ncols, index, **kwargs)\n",
"``` \n",
"Calling this function will automatically (if the figure is not generated yet) create a figure containing `nrows * ncols` grid of Axes where the current Axes will be in the `index`-th position."
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "b94ad9ca",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(15, 10))\n",
"\n",
"plt.subplot(2, 2, 1) # add an Axes and place the plot in the **first** position of the grid 2x2\n",
"plt.plot(x, y1, label=\"sin\", color=\"red\")\n",
"plt.plot(x, y2, label=\"cos\", color=\"green\")\n",
"plt.grid()\n",
"plt.xlabel(\"x\")\n",
"plt.ylabel(\"y\")\n",
"plt.title(\"Sine and cosine curves\")\n",
"plt.legend()\n",
"\n",
"plt.subplot(2, 2, 2) # add an Axes and place the plot in the **second** position of the grid 2x2\n",
"plt.scatter(x_scatter, y_scatter, c=\"green\", alpha=0.4, marker=\"o\", s=size);\n",
"plt.title(\"Just some random points with random sizes\")\n",
"\n",
"plt.subplot(2, 2, 3) # add an Axes and place the plot in the **third** position of the grid 2x2\n",
"plt.hist(sample, 50, density=True, facecolor='red', alpha=0.5)\n",
"plt.xlabel('Smarts')\n",
"plt.ylabel('Probability')\n",
"plt.title(r'Histogram of intelligence quotients: $\\mu={mu}$, $\\sigma={sigma}$'.\n",
" format(mu=mu, sigma=sigma));"
]
},
{
"cell_type": "markdown",
"id": "6fae32de",
"metadata": {},
"source": [
"**Important remark:** Thus far we have seen pyplot based approaches for plotting. This approach has the advantage of being quick and easy to generate. However when a plotting becames more complex, it is recommended to use the object-oriented interface."
]
},
{
"cell_type": "markdown",
"id": "f1bd6672",
"metadata": {},
"source": [
"## 7. Object-oriented interface \n",
"\n",
"Instead of using the submodule `pyplot` we can **create the Figure and the set of Axes** as explicit objects: we call it the object-oriented (OO) approach. This method produces a more robust and customizable way of plotting. Indeed, these (figure and axes) objects are stored and can be used or modified even after their visualization.\n",
"\n",
"A more \"cleaner\" way to setup your figure will be as follows:"
]
},
{
"cell_type": "markdown",
"id": "6bb8608e",
"metadata": {},
"source": [
"### Plotting a curve"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "d182cce8",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Toy example 1: with object-oriented interface\n",
"fig1, ax1 = plt.subplots()\n",
"\n",
"ax1.plot(x, y1, label=\"sin\", color=\"red\")\n",
"ax1.plot(x, y2, label=\"cos\", color=\"green\")\n",
"ax1.grid()\n",
"ax1.set_xlabel(\"x\") # ax1.set_xlabel instead of plt.xlabel\n",
"ax1.set_ylabel(\"y\") # ax1.set_ylabel instead of plt.ylabel\n",
"ax1.set_title(\"Sine and cosine curves\") # ax1.set_title instead of plt.title\n",
"ax1.legend();"
]
},
{
"cell_type": "markdown",
"id": "fdda07c6",
"metadata": {},
"source": [
"### Scatter plot"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "c15e67e3",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Toy example 2: with object-oriented interface\n",
"fig2, ax2 = plt.subplots()\n",
"\n",
"ax2.scatter(x_scatter, y_scatter, c=\"green\", alpha=0.4, marker=\"o\", s=size);\n",
"ax2.set_xlabel(\"x\") # ax2.set_xlabel instead of plt.xlabel\n",
"ax2.set_ylabel(\"y\") # ax2.set_ylabel instead of plt.ylabel\n",
"ax2.set_title(\"Just some random points with random sizes\"); # ax2.set_title instead of plt.title"
]
},
{
"cell_type": "markdown",
"id": "cbef64e6",
"metadata": {},
"source": [
"### Plotting histograms"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "7ea37a25",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Toy example 3: with object-oriented interface\n",
"fig3, ax3 = plt.subplots()\n",
"\n",
"ax3.hist(sample, 50, density=True, facecolor='red', alpha=0.5)\n",
"ax3.set_xlabel('Smarts') # ax3.set ...\n",
"ax3.set_ylabel('Probability') # ax3.set ...\n",
"ax3.set_title(r'Histogram of intelligence quotients: $\\mu={mu}$, $\\sigma={sigma}$'.\n",
" format(mu=mu, sigma=sigma));"
]
},
{
"cell_type": "markdown",
"id": "53703692",
"metadata": {},
"source": [
"**Important remark:** since it is an object, we can re-visualize it (or even update it) even after the previous cell execution"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "2f7d9342",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig1\n",
"#fig2\n",
"#fig3"
]
},
{
"cell_type": "markdown",
"id": "38eeb518",
"metadata": {},
"source": [
"### Subplots with the object-oriented approach\n",
"\n",
"We present here two approaches to do subplots:\n",
"\n",
"1. with the function **`subplots`**"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "25822320",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Unidimensional grid of Axes\n",
"fig, ax = plt.subplots(1, 3, figsize=(16, 4)) # a grid of 1x3 of Axes with figsize (16, 4)\n",
"\n",
"ax[0].plot(x, y1, label=\"sin\", color=\"red\")\n",
"ax[0].plot(x, y2, label=\"cos\", color=\"green\")\n",
"ax[0].grid()\n",
"ax[0].set_xlabel(\"x\") # ax1.set_xlabel instead of plt.xlabel\n",
"ax[0].set_ylabel(\"y\") # ax1.set_ylabel instead of plt.ylabel\n",
"ax[0].set_title(\"Sine and cosine curves\") # ax1.set_title instead of plt.title\n",
"ax[0].legend()\n",
"\n",
"ax[1].scatter(x_scatter, y_scatter, c=\"green\", alpha=0.4, marker=\"o\", s=size);\n",
"ax[1].set_xlabel(\"x\") # ax2.set_xlabel instead of plt.xlabel\n",
"ax[1].set_ylabel(\"y\") # ax2.set_ylabel instead of plt.ylabel\n",
"ax[1].set_title(\"Just some random points with random sizes\") # ax2.set_title instead of plt.title\n",
"\n",
"ax[2].hist(sample, 50, density=True, facecolor='red', alpha=0.5)\n",
"ax[2].set_xlabel('Smarts') # ax3.set ...\n",
"ax[2].set_ylabel('Probability') # ax3.set ...\n",
"ax[2].set_title(r'Histogram of intelligence quotients: $\\mu={mu}$, $\\sigma={sigma}$'.\n",
" format(mu=mu, sigma=sigma));"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "d7d8b5de",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Bidimensional grid of Axes\n",
"fig, ax = plt.subplots(2, 2, figsize=(15, 10)) # a grid of 2x2 of Axes with figsize (15, 10)\n",
"\n",
"ax[0,0].plot(x, y1, label=\"sin\", color=\"red\")\n",
"ax[0,0].plot(x, y2, label=\"cos\", color=\"green\")\n",
"ax[0,0].grid()\n",
"ax[0,0].set_xlabel(\"x\") # ax1.set_xlabel instead of plt.xlabel\n",
"ax[0,0].set_ylabel(\"y\") # ax1.set_ylabel instead of plt.ylabel\n",
"ax[0,0].set_title(\"Sine and cosine curves\") # ax1.set_title instead of plt.title\n",
"ax[0,0].legend()\n",
"\n",
"ax[0,1].scatter(x_scatter, y_scatter, c=\"green\", alpha=0.4, marker=\"o\", s=size);\n",
"ax[0,1].set_xlabel(\"x\") # ax2.set_xlabel instead of plt.xlabel\n",
"ax[0,1].set_ylabel(\"y\") # ax2.set_ylabel instead of plt.ylabel\n",
"ax[0,1].set_title(\"Just some random points with random sizes\") # ax2.set_title instead of plt.title\n",
"\n",
"ax[1,0].hist(sample, 50, density=True, facecolor='red', alpha=0.5)\n",
"ax[1,0].set_xlabel('Smarts') # ax3.set ...\n",
"ax[1,0].set_ylabel('Probability') # ax3.set ...\n",
"ax[1,0].set_title(r'Histogram of intelligence quotients: $\\mu={mu}$, $\\sigma={sigma}$'.\n",
" format(mu=mu, sigma=sigma));"
]
},
{
"cell_type": "markdown",
"id": "fa031409",
"metadata": {},
"source": [
"2. with the method **`add_subplot`** of `matplotlib.figure`\n",
"\n",
"```\n",
"add_subplot(nrows, ncols, index, **kwargs)\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "a17cc7a6",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(16, 4))\n",
"ax1 = fig.add_subplot(1, 3, 1) # add an Axes called ax1\n",
"ax2 = fig.add_subplot(1, 3, 2) # add an Axes called ax2\n",
"ax3 = fig.add_subplot(1, 3, 3) # add an Axes called ax3\n",
"\n",
"ax1.plot(x, y1, label=\"sin\", color=\"red\")\n",
"ax1.plot(x, y2, label=\"cos\", color=\"green\")\n",
"ax1.grid()\n",
"ax1.set_xlabel(\"x\") # ax1.set_xlabel instead of plt.xlabel\n",
"ax1.set_ylabel(\"y\") # ax1.set_ylabel instead of plt.ylabel\n",
"ax1.set_title(\"Sine and cosine curves\") # ax1.set_title instead of plt.title\n",
"ax1.legend()\n",
"\n",
"ax2.scatter(x_scatter, y_scatter, c=\"green\", alpha=0.4, marker=\"o\", s=size);\n",
"ax2.set_xlabel(\"x\") # ax2.set_xlabel instead of plt.xlabel\n",
"ax2.set_ylabel(\"y\") # ax2.set_ylabel instead of plt.ylabel\n",
"ax2.set_title(\"Just some random points with random sizes\") # ax2.set_title instead of plt.title\n",
"\n",
"ax3.hist(sample, 50, density=True, facecolor='red', alpha=0.5)\n",
"ax3.set_xlabel('Smarts') # ax3.set ...\n",
"ax3.set_ylabel('Probability') # ax3.set ...\n",
"ax3.set_title(r'Histogram of intelligence quotients: $\\mu={mu}$, $\\sigma={sigma}$'. # ax3.set ...\n",
" format(mu=mu, sigma=sigma));"
]
},
{
"cell_type": "markdown",
"id": "b2f0534c",
"metadata": {},
"source": [
"## 8. [optional] Other plots: a quick overview \n",
"\n",
"### Pie plot (or bar chart)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "60ba3aaa",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"labels = ['Frogs', 'Hogs', 'Dogs', 'Logs']\n",
"sizes = [15, 30, 45, 10]\n",
"colors = ['orange', 'green', 'blue', 'red']\n",
"\n",
"fig, ax = plt.subplots()\n",
"ax.pie(sizes, labels=labels, colors=colors);"
]
},
{
"cell_type": "markdown",
"id": "1f552188",
"metadata": {},
"source": [
"### Bar plot"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "da2bacbf",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Some random data\n",
"names = ['sleep', 'play', 'study'] # Bar names\n",
"height = np.random.randint(1, 10, len(names)) # Bar heights\n",
"index = np.arange(len(names)) # Bar positions\n",
"\n",
"fig, ax = plt.subplots()\n",
"ax.bar(index, height, width=0.5, alpha=0.8)\n",
"ax.set_ylabel(\"hours\")\n",
"ax.set_xticks(index)\n",
"ax.set_xticklabels(names, fontsize=14)\n",
"\n",
"# Set nice axes\n",
"ax.spines['right'].set_color('none') # Erase right axis\n",
"ax.spines['top'].set_color('none') # Erase upper axis"
]
},
{
"cell_type": "markdown",
"id": "26394346",
"metadata": {},
"source": [
"### 3D plot"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "e26865af",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def f(x, y):\n",
" return np.sin(np.sqrt(x ** 2 + y ** 2))\n",
"\n",
"x = np.arange(-5, 5, 0.25)\n",
"y = np.arange(-5, 5, 0.25)\n",
"\n",
"X, Y = np.meshgrid(x, y)\n",
"Z = f(X, Y)\n",
"\n",
"# Initialize 3D plot\n",
"fig = plt.figure(figsize=(15, 5))\n",
"ax = fig.add_subplot(1, 1, 1, projection='3d')\n",
"\n",
"# Plot\n",
"surf = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, linewidth=0)"
]
},
{
"cell_type": "markdown",
"id": "2b61a006",
"metadata": {},
"source": [
"# Exercices "
]
},
{
"attachments": {
"image-3.png": {
"image/png": "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"
}
},
"cell_type": "markdown",
"id": "1ecc5f90",
"metadata": {},
"source": [
"## Exercice 1: line plot\n",
"\n",
"1. In the same Axes, plot the sine curve (in green) and the logarithmic curve (in red) in the interval $(0, 8]$\n",
"\n",
"2. then, in the same figure, color in `steelblue` the area between the sine and the logarithmic curve.\n",
"\n",
"You should have the following graph:\n",
"\n",
"![image-3.png](attachment:image-3.png)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "c0ef8384",
"metadata": {},
"outputs": [],
"source": []
},
{
"attachments": {
"image-2.png": {
"image/png": "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"
}
},
"cell_type": "markdown",
"id": "18532082",
"metadata": {},
"source": [
"## Exercice 2: scatter plot\n",
"\n",
"The following code plot a circle:\n",
"\n",
"```\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"fig, ax = plt.subplots()\n",
"\n",
"theta = np.linspace(0, 2*np.pi, 100)\n",
"r = np.sqrt(1.0)\n",
"x1 = r*np.cos(theta)\n",
"x2 = r*np.sin(theta)\n",
"\n",
"ax.plot(x1, x2)\n",
"ax.set_aspect(1);\n",
"```\n",
"\n",
"Generate 500 random points in the space $[-1, 1]\\times[-1, 1]$ such that:\n",
"- the points inside the circle are colored in green\n",
"- and the points outside the circle are colored in red\n",
"\n",
"You should have (approximately) the following figure\n",
"\n",
"![image-2.png](attachment:image-2.png)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "2098cae6",
"metadata": {},
"outputs": [],
"source": []
},
{
"attachments": {
"image-2.png": {
"image/png": "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"
}
},
"cell_type": "markdown",
"id": "f657abcd",
"metadata": {},
"source": [
"## Exercice 3: subplots\n",
"\n",
"Plot side by side the graphs produced in Exercice 1 and 2.\n",
"\n",
"You should have:\n",
"\n",
"![image-2.png](attachment:image-2.png)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "0b988c61",
"metadata": {},
"outputs": [],
"source": []
}
],
"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": "3.9.18"
}
},
"nbformat": 4,
"nbformat_minor": 5
}