{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Matplotlib (visualisation en 2D et 3D pour Python)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Librairie pour les représentations graphiques" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ " #Pour intégrer les graphes à votre notebook, il suffit de faire\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
run previous cell, wait for 2 seconds
\n", "" ], "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from jyquickhelper import add_notebook_menu\n", "add_notebook_menu()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Aparté*\n", "\n", "Les librairies de visualisation en python se sont beaucoup développées ([10 plotting librairies](http://www.xavierdupre.fr/app/jupytalk/helpsphinx/2016/pydata2016.html)). \n", "\n", "La référence reste [matplotlib](http://matplotlib.org/), et la plupart sont pensées pour être intégrées à ses objets (c'est par exemple le cas de [seaborn](https://stanford.edu/~mwaskom/software/seaborn/introduction.html), [mpld3](http://mpld3.github.io/), [plotly](https://plot.ly/) et [bokeh](http://bokeh.pydata.org/en/latest/)). Il est donc utile de commencer par se familiariser avec matplotlib." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Introduction\n", "\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib est un module destiné à produire des graphiques de toute sorte (voir http://matplotlib.org/gallery.html pour une gallerie d’images produites avec Matplotlib). Il est l’outil complémentaire de *numpy* et *scipy* lorsqu’on veut faire de l’analyse de données. Un guide d’utilisation se trouve à l’adresse http://matplotlib.org/users/index.html ." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On importe le module matplotlib.pyplot sour le nom plot afin d’avoir accès aux fonctions de façon plus simple" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ " import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Graphes simples" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "la fonction la plus simple est la fonction **plot** sour la forme plot(x,y) où *x* est un tableau d’abscisses et *y* le tableau\n", "des ordonnées associées" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "x=np.linspace(0,1,21)\n", "y=x*x\n", "plt.plot(x,y)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Plusieurs courbes en même temps\n", "\n", "Il suffit de les ajouter les unes après les autres avant la commande plt.show()." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x=np.linspace(0,2*np.pi,101)\n", "plt.plot(x,np.sin(x))\n", "plt.plot(x,np.sin(2*x))\n", "plt.plot(x,np.sin(3*x))\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "De façon plus condensée, on peut le faire en une seule instruction" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x=np.linspace(0,2*np.pi,101)\n", "plt.plot(x,np.sin(x),x,np.sin(2*x),x,np.sin(3*x))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Couleurs, Marqueurs et styles de ligne" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "MatplotLib offre la possibilité d'adopter deux types d'écriture : chaîne de caractère condensée ou paramétrage explicite via un système clé-valeur." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x=np.linspace(0,2*np.pi,20)\n", "plt.plot(x,np.sin(x), color='red', linewidth=3, linestyle=\"--\", marker=\"o\", markersize=5,\n", "markeredgecolor=\"b\", markeredgewidth=2)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x=np.linspace(0,1,21)\n", "y=x*x\n", "plt.plot(x,y,'og--') #l'ordre des paramètres n'importe pas" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plus de détails dans la documentation sur l'API de matplotlib pour paramétrer la\n", "\n", "couleur\n", "\n", ", les\n", "\n", "markers\n", "\n", ", et le\n", "\n", "style des lignes\n", "\n", ". MatplotLib est compatible avec plusieurs standards de couleur :\n", "- sous forme d'une lettre : 'b' = blue (bleu), 'g' = green (vert), 'r' = red (rouge), 'c' = cyan (cyan), 'm' = magenta (magenta), 'y' = yellow (jaune), 'k' = black (noir), 'w' = white (blanc).\n", "- sous forme d'un nombre entre 0 et 1 entre quotes qui indique le niveau de gris : par exemple '0.70' ('1' = blanc, '0' = noir).\n", "- sous forme d'un nom : par exemple 'red'.\n", "- sous forme html avec les niveaux respectifs de rouge (R), vert (G) et bleu (B) : '#ffee00'. Voici un site pratique pour récupérer une couleur en [RGB hexadécimal](http://www.proftnj.com/RGB3.htm). \n", "- sous forme d'un triplet de valeurs entre 0 et 1 avec les niveaux de R, G et B : (0.2, 0.9, 0.1)." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x=np.linspace(0,1,21)\n", "y=x*x\n", "\n", "#avec la norme RGB\n", "plt.plot(x,y,color='#D0BBFF',marker='o',linestyle='-.')\n", "plt.plot(x*2,y,color=(0.156862745098039, 0.7333333333333333, 1.0),marker='o',linestyle='-.')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Titre, légendes et labels" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On peut également améliorer notre graphique en inserant :\n", " - des étiquettes (abscisses et ordonnées) : $xlabel(texte), ylabel(texte)$\n", " - une légende : $legend()$\n", " - la grille : $grid()$\n", " - titre du graphique : $title(texte) $\n", " - un texte sur le graphique : $text(x,y,texte) $\n", " - une grille en filligrane : $grid()$\n", "\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Exemple :" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 2, 10)\n", "\n", "plt.plot(x, x, 'o-', label='linear')\n", "plt.plot(x, x ** 2, 'x-', label='quadratic')\n", "\n", "plt.legend(loc='best')\n", "plt.title('Linear vs Quadratic progression')\n", "plt.xlabel('Input')\n", "plt.ylabel('Output');\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Ticks et axes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "3 méthodes clés : \n", "- xlim() : pour délimiter l'étendue des valeurs de l'axe\n", "- xticks() : pour passer les graduations sur l'axe\n", "- xticklabels() : pour passer les labels\n", "\n", "Pour l'axe des ordonnées c'est ylim, yticks, yticklabels.\n", "\n", "Pour récupérer les valeurs fixées : \n", "- plt.xlim() ou plt.get_xlim()\n", "- plt.xticks() ou plt.get_xticks()\n", "- plt.xticklabels() ou plt.get_xticklabels()\n", " \n", "Pour fixer ces valeurs :\n", "- plt.xlim([start,end]) ou plt.set_xlim([start,end])\n", "- plt.xticks(my_ticks_list) ou plt.get_xticks(my_ticks_list)\n", "- plt.xticklabels(my_labels_list) ou plt.get_xticklabels(my_labels_list)\n", "\n", "Si vous voulez customiser les axes de plusieurs sous graphiques, passez par une [instance de axis](http://matplotlib.org/users/artists.html) et non subplot." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from numpy.random import randn\n", "\n", "fig = plt.figure(figsize=(8,6))\n", "ax1 = fig.add_subplot(1,1,1)\n", "\n", "serie1=randn(50).cumsum()\n", "serie2=randn(50).cumsum()\n", "serie3=randn(50).cumsum()\n", "ax1.plot(serie1,color='#33CCFF',marker='o',linestyle='-.',label='un')\n", "ax1.plot(serie2,color='#FF33CC',marker='o',linestyle='-.',label='deux')\n", "ax1.plot(serie3,color='#FFCC99',marker='o',linestyle='-.',label='trois')\n", "\n", "#sur le graphe précédent, pour raccourcir le range\n", "ax1.set_xlim([0,21])\n", "ax1.set_ylim([-20,20])\n", "\n", "#faire un ticks avec un pas de 2 (au lieu de 5)\n", "ax1.set_xticks(range(0,21,2))\n", "#changer le label sur la graduation\n", "ax1.set_xticklabels([\"j +\" + str(l) for l in range(0,21,2)])\n", "ax1.set_xlabel('Durée après le traitement')\n", "\n", "ax1.legend()\n", "#permet de choisir l'endroit le plus vide\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Inclusion d'annotation et de texte, titre et libellé des axes " ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from numpy.random import randn\n", "\n", "fig = plt.figure(figsize=(8,6))\n", "ax1 = fig.add_subplot(1,1,1)\n", "ax1.plot(serie1,color='#33CCFF',marker='o',linestyle='-.',label='un')\n", "ax1.plot(serie2,color='#FF33CC',marker='o',linestyle='-.',label='deux')\n", "ax1.plot(serie3,color='#FFCC99',marker='o',linestyle='-.',label='trois')\n", "\n", "ax1.set_xlim([0,21])\n", "ax1.set_ylim([-20,20])\n", "ax1.set_xticks(range(0,21,2))\n", "ax1.set_xticklabels([\"j +\" + str(l) for l in range(0,21,2)])\n", "ax1.set_xlabel('Durée après le traitement')\n", "\n", "ax1.annotate(\"vous êtes ici \", xy=(7, 7), #point de départ de la flèche\n", " xytext=(10, 10), #position du texte\n", " arrowprops=dict(facecolor='#000000', shrink=0.10),\n", " )\n", "\n", "ax1.legend(loc='best')\n", "\n", "plt.xlabel(\"Libellé de l'axe des abscisses\")\n", "plt.ylabel(\"Libellé de l'axe des ordonnées\")\n", "plt.title(\"Une idée de titre ?\")\n", "plt.text(5, -10, r'$\\mu=100,\\ \\sigma=15$')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### matplotlib et le style" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Il est possible de définir son propre style. Cette possibilité est intéressante si vous faîtes régulièrement les mêmes graphes et voulez définir des templates (plutôt que de copier/coller toujours les mêmes lignes de code). Tout est décrit [ici](http://matplotlib.org/users/style_sheets.html).\n", "\n", "Une alternative consiste à utiliser des feuilles de styles pré-définies. Par exemple [ggplot](http://blog.yhat.com/posts/ggplot-for-python.html), librairie très utilisée sous R." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from numpy.random import randn\n", "\n", "#pour que la définition du style soit seulement dans cette cellule notebook\n", "with plt.style.context('ggplot'):\n", " fig = plt.figure(figsize=(8,6))\n", " ax1 = fig.add_subplot(1,1,1)\n", " ax1.plot(serie1,color='#33CCFF',marker='o',linestyle='-.',label='un')\n", " ax1.plot(serie2,color='#FF33CC',marker='o',linestyle='-.',label='deux')\n", " ax1.plot(serie3,color='#FFCC99',marker='o',linestyle='-.',label='trois')\n", "\n", " ax1.set_xlim([0,21])\n", " ax1.set_ylim([-20,20])\n", " ax1.set_xticks(range(0,21,2))\n", " ax1.set_xticklabels([\"j +\" + str(l) for l in range(0,21,2)])\n", " ax1.set_xlabel('Durée après le traitement')\n", "\n", " ax1.annotate(\"You're here\", xy=(7, 7), #point de départ de la flèche\n", " xytext=(10, 10), #position du texte\n", " arrowprops=dict(facecolor='#000000', shrink=0.10),\n", " )\n", "\n", " ax1.legend(loc='best')\n", "\n", " plt.xlabel(\"Libellé de l'axe des abscisses\")\n", " plt.ylabel(\"Libellé de l'axe des ordonnées\")\n", " plt.title(\"Une idée de titre ?\")\n", " plt.text(5, -10, r'$\\mu=100,\\ \\sigma=15$')\n", "\n", " #plt.show()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "De nombreux autres styles sont disponibles, pick up your choice! ['Solarize_Light2', '_classic_test_patch', 'bmh', 'classic', 'dark_background', 'fast', 'fivethirtyeight', 'ggplot', 'grayscale', 'seaborn', 'seaborn-bright', 'seaborn-colorblind', 'seaborn-dark', 'seaborn-dark-palette', 'seaborn-darkgrid', 'seaborn-deep', 'seaborn-muted', 'seaborn-notebook', 'seaborn-paper', 'seaborn-pastel', 'seaborn-poster', 'seaborn-talk', 'seaborn-ticks', 'seaborn-white', 'seaborn-whitegrid', 'tableau-colorblind10']\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "print(\"De nombreux autres styles sont disponibles, pick up your choice! \", plt.style.available)\n", "with plt.style.context('dark_background'):\n", " plt.plot(serie1, 'r-o')\n", "\n", "# plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Histogrammes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Un exemple est plus explicite" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1000,)\n", "float64\n", "[ 0.25841431 0.92658119 1.69141873 1.26425944 0.4425835 1.31993062\n", " 0.87832491 1.81837364 0.51432227 1.05335674 1.41136622 0.8861566\n", " -0.24876536 1.82721402 1.32328638 1.48386919 1.09134561 1.43646416\n", " 2.10411764 0.79135031 1.3542456 0.46936999 0.67538318 1.45783233\n", " 0.43371035 1.26641709 1.14627151 1.2757271 0.41320266 -0.18859138]\n" ] }, { "data": { "image/png": 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SS1KjtssQiiRtOQa4JDXKAJekRhngktQoA1ySGmWAS1KjDHBJatT/AmmR1WCU6YkpAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Gaussian, mean 1, stddev .5, 1000 elements\n", "# on crée un tableau avec des valeurs aléatoires obtenues\n", "# avec une loi normale\n", "samples = np.random.normal(loc=1.0, scale=0.5, size=1000)\n", "print(samples.shape)\n", "print(samples.dtype)\n", "print(samples[:30])\n", "plt.hist(samples, bins=50);\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On peut modifier quelques options intéressantes, par exemple\n" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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FH86M8Xey1nhZkVWomwO/C7ijqj4z7Xr6qqpnkvwzsAvo/UH7uhvpn0mS7SOr7wAem1YtfSXZBbwfeEdV/e+062mUlxVZZboPQG8HjlXVh6ddz6SSzHzvjLwkLwfeyjLlVWtn79wFvJbh2SJfBd5dVV+bblWTSTIHXAj8V9d071o8EynJLwJ/BswAzwAPVdU1Uy1qDEneBnyE719W5JbpVjSZJJ8C3sLwMr5PAx+qqtunWtQEkvwM8C/Awwz/nwN8oKr+fnpVjS/JjwAHGP67eglwsKp+f1neu6XQl6TWNTW9I0mtM/QlqSGGviQ1xNCXpIYY+pLUEENfkhpi6EtSQ/4P1yvJjrhXwNEAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# on crée un tableau avec des valeurs aléatoires obtenues\n", "# avec une loi normale\n", "valeurs=np.random.randn(1000)\n", "plt.hist(valeurs ,\n", " 25, # nombre de barres\n", " cumulative=True, # histogramme cumulatif\n", " color='magenta', # couleur\n", " histtype='stepfilled' # type : bar,barstacked ,step,stepfilled\n", " )\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Deux histogramme sur la même figure" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "\n", "samples_1 = np.random.normal(loc=1, scale=.5, size=10000)\n", "samples_2 = np.random.standard_t(df=10, size=10000)\n", "bins = np.linspace(-3, 3, 50)\n", "\n", "# Définir un alpha et utiliser le même bins vu qu'on représente deux histogrammes\n", "plt.hist(samples_1, bins=bins, alpha=0.5, label='samples 1')\n", "plt.hist(samples_2, bins=bins, alpha=0.5, label='samples 2')\n", "plt.legend(loc='upper left');\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Nuage de points" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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zp2oCiZJkEoa55lcP5wgEB/0ES5Qx/uG1wbmi5LKwCeYbpY0UgkQK6s4RgKujnMbEnUKWPH2e9/rZeV1gUrV4Hxe1Iol2BqfrhWhj4JWoOIbvoJ+d0zWvyh2/qsz1XeNDOc63jR/2MnbJ2AS2unPMaoNzMKuibPC7tr8X+c9cS1rj+eZsRS/7fuvsxS7Knz+YEgJP0TXDPCFL1PmQCPmSIREvo3ye/bkPgRACR8sOLQWJEjycVswqw7DQGOuZVi3DPKGXapyPSpN03Yx0vGjp5ZrDQR5pIAHeB/72aMHDWaRJWutojePO2ZL/168e8599ecKDWc2iMZwtW6rO8s1ZxWTVMcw0j2Y1d05XPJrVKCVwAfb7Gfv9nCyTPF60WO/Z7SUgxRsblHGR+spTjfOevbWnzTdnFQ8mDffPKv7szoQHs3iv/OLB7LxOMMxTvjlb0VnPsjE8mNY0xrFTaO5PKr45q8i0REvJ43mLD+F70XPvcnze98GHcpxvG9uM/BKxCWxnq3atmpAY61m19nzb+7zMYcN/rlpLYz2pluz04tcX52N+F57Njh/OPMa2JBekhBfpmmf16azbzx9M6/Nt+cson2d/Pll1jIuUVCuUFORasz+IFEljPHVnmLVPDKAmVfRTsd7xYNpQdZbPD3pAzFQfzWsezhqsD/y9WzusOsevHs1Z1ZZpZUiTmNm6EOhlGiElj2cNiKgv/9ujxbpZR+ADNNbiredo1ZFL0GuKZpgmjMsUxcuDwkVFzmzV0rlAogRXRgW7vfRbyprNffGs2mbzPpNVx72zikSJ+DcIweNZyz1bsdtLz3cUwyLh5lpOeW9SkaeKa6Oc02VHohTjUlAbz6CIr59WHVeG+fei5z4ULfqHcpxvEx99IH+bmtNNYGtt3P4CaCXO+ecXPVQb/nNYJOffCyF8r4fwWXlhL9V0a83x1TV38iyXmCeKvX7Gg0nF3XUw0Sr6nfzt4wUigE7kCzsSn+Url61l1VqsDwxyzY+u9DlbtTSdR0vBqEhojSVPFZPKsFOmTGvDnZMVvTzhs2EPgeTRrIk6ba24uVMyyBN6WUKRah5Na0wIFJmkSDSTOmbeZ6uOTAsa4znoZYQgmK5aahsYZglKwqRuOZq3ZErggZ0yY1xIbu+VZKkiTeRTC9mz98lFNc3xrOLBPCptBpnm3rTCuni9F5XBhkCu4/k9HGXndMdXRwvyc7pJkmnJsEiQQpDq+Hm9TPD1smFQPP14DnKNkoJRmZ67VTofuDbOmVWGuo33i5bxnnsZd7zVY388+KgD+dvWnG4C28b8KVEC66I17Hc9VJdRwHk2O97ppTycVqwaTxg+X++8OT9nVUeWSE4WHRDY66ecrVqsgyuj7IUdiRf5Suc9x4uWEAK390r8mvvu5wnTuiIJcWfw42tDJqsOAUyqjtNVCwj2eilKCn75YE7VWUZFwriXMS40V8cZd04qThctZ6uWSdUhhaBIHIvW8JvKstuPCpxeppm30USqlyc0y467kxWjXFNZj/eBfi/D+MCs6mgaw53Tir1Bxj/9xR5KCPpZ8q1awOmy5ZuzCiUFAZi1DuMDEsFZ1XG2NHx9vOT2XskneyV3zyq+PF4xzBV/7+YOs72C2zs9zipD1jlu7ZYYF7h7VpGtNf3WSZSE4AP4QKKevkc390SmJf1M40NgVnc8njY4EXAuYKwnENazVZ9v5bCp4UyqjoNBziDXWz32B46POpC/bZ/mTWDrpZqTZYuxHh88e/38Owsyl1HAeXYxyBNFP0+4N6n46/sznPdcHebn6oY8UefnJ4TIN5aZhgD3pzU7RaRWilSRacmq8cybjp9eH39Lhne6bLk/azgcZnjno5xPCgywqA2f7PXZKePwhXisirunK/76/oxECG7sFsxry2+O5hwOMvIk4WxpWNSW0a0R05WBAMfLhjunFXVjyTKN9Z6qtSRCkGWK3HsSKfB55Pxr69gpE5z3IAR1azHO83je0jnHdNUxKhNaExfBxjga62ltx14vPT9XF82zrPP88uGcs1VDkcaOUikEi6YFEZg0hmLVMq078rW0c2kcvz1aMlkZMiV4PG/5Rw/nZIlk1To679ntpUyqDushVYKbuz0yLenWcrtn74kvj5c8mtU0nePRrEZIybVhzqqzWOe5vVt+y2vmWe935wO/fjRnVKb0M31uV7ClLT48fNSB/LJkfa+Ki4FtVCRUxjJIM8pUfee29Vt8NSDgO7f5z+LZxeBk2fKrB3MGZULb2bgdN556XXi9sVOen59MSx53kSJgXUQaF2GtmhFcHRWEYaR6nj2OzbFfpJUmq+4pOeOmoLcx5ipTxcmy49owxzjP0bzlwaxiv5+BlOwWKXuDgkQK/vr+jINeTj9fG1hpxRyD9oFcSc6MwypBoSWjMtI/qZQkiaSxFusgTRSdcTGDrQy9DDrnKBLFvIlqj7NVx199M2PVOr447LNsDVKKp7pBT5YtD2cNjbEsG48LDus9B70c6yGRkArB3dOanpZ4LIvGsWqjJPPPvj7j8/0ejfPrxaxaB/PY1NNPNYeDjM55AvD5QR/nw3M9dox13D1ZEYKgzDS51lSdZa+X8rMv9p97v1xMbJatXUtBJa1x9FLN6bLBlhk3vtddv8X7gI86kL8LzekmsN3Y+d1+72LWtMnEnpWiPS+4X1wMJpXht0dLrozyqEpRimXr2OlJVp1ltxcLr5vzMy5T7k0qZo2hbi2zdRHys/3++bkyLkAI57r0i8W8B5OKv7g74WTVkkjFbi/h+k5JP09QUnzLmOsXD2bMKsNOLyGTcWfwaNqyrC0AZRJlhIkUdMZRZpLYeS8Y5IpAXAAIgUEeC5V/eH1MP9M4HyWQvUTSdIKfP5jigkcLibMe4zzT2uC8pZ+mNCaQEBAIThdNLE53hl6W8gdX+5RJlIE+nre4EGmyRCY8sDWL2tAGz3RpqDqDCXAlV5yctTgXF8EyFcwbw9G8Zlp1sdg5jtc5TRTL1lK3njwNBOB42bFTJKwaw3/6t8fc2CnPLRQgZtUPJhX/2ZenDDLNuJewaiPFtFumtM6/cNG/mNg0xiOlQAKPFw3GB6rWcm9SM6s6QoiNVZmKAy1eVUq7xbvBRx3I30fN6csKTM/1RFlL0W7t9r6T6z+v5k8qeusGm3vTin6mKdLYTCKFON+VXB8X54vGrZ2C/+yrU4KHT3ZKaud5NGu4Mogc+aLuCEKQXKg3fHm8ZFF33DuruT+tOFm0DHKN955lbfAiZuBaSLQWBAGpikMRpAQpJJOqwwuBVDGIFani79wcA/Dl0ZJ7k4rjeYMJMF3FxhrrPFJJro9zro5yJo3lzumK3V5CP9UoFQPVb45WUVutFdYF/vZsxe3dHsumo3WKlbGMMsm8s7BsaH1glDU8ntV8elBybZRz/6ymXySUqeJo3vBo2jCvDI11PJw3DFONyDxXxgUPpw2L2jCZtxg8WZIwyBSny47TeUVA8reP5hwtGrwNaAV5ohmWCcMsFrpndeT/h4XiZNEhBOsReCXT4yUiBFYm7iZcCHx1vGSvX9BLFYvG0LnYRfpdlgEbI7DTRaw35InE+VgHMT5wY6cgAH/9zYRhkVKmmjxRzKoWLQXNlkt/7/BRB/JXtYB9W3iV4uvz6KBlG32oN8HdB89Z1XE0b7i91/vWYjBvLFVj0ErRSzXGBlpjyBPBfj9j2VhmTcy6xbpJaNU6fnpjTLKeEBQIGBvOC5ZR+xw4XbZ0zpMqyeNZxS8fLLAhMG8MUgROVoZJZVEyUKQaLQJJkiAk3ByVXBulhIWnbiNVsWgNZaL4dK/k6+MKIeDeaSzA3jlZ0hjPbGXwwWNd/Px+nnE4EGRKcue0opcrHk5WrOoMpeGzvT6/PJqRKcWN3WiCdedkxajQNMaxNyhYtHFO6aNFTaIUp6YhElqKyniEhL97o6PMNH/x9RlaCb4+jVrtIpccndSEAEEAQtBLJT+5OuBXj+Yc7pQczypWraFuDFfHRWzIsh3WOeRar55qRZbGhe/upGJWdcxrw83dEiEEt3dLRkVGY6KE1TgPAkKIRehfPlzQGUfdVeyUGhfg7x70v8VzP6/A2c8UJ/P4816mqVpHP0/RCmoTfXGGRca0apFSstvPXklKu8W7wUcdyOH90py+SvH1eXRQ1boLW2J37o3tpXhuB1/VGcZlxqK1lJnmeN5wVnWEAONexqNpzeeHA6SA40V7nqnf3isp0ie3xEYCeWOn5JcP58yqlkxrikSxai1/cXeK8QGxVkwgBCIEzuqGfqZZto7GOK6NINFireuWjMuU42VH5xzpehJQqjX/xOd73DtZ8R/9zSMyrai6uIA1zjEuUlTw9IoEIQJlnvB43dEZpYwJ09owqVt++WDGycpwY5jSrzWDQnOyluedLQ07/YRRnnC6iHx3KhWpkkipYoG1iI01f/NgxkEv48G0puosRaJZNpajuePOaUWuFYkU7PRS7p01DFPJpwc9ijRhnGu+PqnonOPu2Ypro4K8i5z96bLj2iiP2XNnOZo2VMaxMoZCythPYOKOTUnJ0bzml1JSaMnOIKWXJSwbw8m8oZcrRAh0XqKk4qCXxilCF/Tu01Uc57fTS0mU5HjRUGQaGzw/vjpgkCfcOV2xbC37/UjHAWSJpFkbjcGrSWm/C1u545vDRx/I3ye8SvH1eXSQcZ7QwZ3TFfPa0M81Akl2YVG4uBiUicbYyEFPVh1V5xAhcDjIaDpHlkgCgcfzlnQ95ebRrOHepObW7oWC2oV6QtUZpIi+2gCVcXE83KIlkZJZbTipWrwNtN7TT+w5r//lyYIbowLr4U+/PuOf+HyXw0HGX9+bkSWCq8MyUhfLhuNlgw0O23lOli2zugUheTip6WWKfN1oNatj5v+jKwOOZzUny44H85rOWISQGOuwxmIRjIuMuona7kGpWdYOHyyrxpBqTZ4l7JQ6arEJLJuOo5nkwazh+igOkbDOcXWU82De8JujOW1nCZlHd4KmS5EI/uHpgk/3Sm7tKRrnyBKBD4Ii0SglORjk1N26O9W6ta7eUzvPTpmQdZKVsdTGkSWaR7OGRWMx1jMsEk6XjnvThms7RfTKyRSdgVFPMy4zbu+WzFvLnpLnO7+miwXN01VHoiWDInb3ShGNxk6X7frzJAf9jLDejS1ry+POUXcW56M/zatIaV+Eixr8ZWOojOPO6YqfXB+9ctPbFi/GawdyIcQt4P8AXAU88CchhH/rdd/3Y8SrFF+fKlquOmZVx7J1GLfp1LNUrWWnl3J7L3ZBPrsYDIsk+pp0ltMAnx/2GeVxJFnnPFqI85FlG/OlYaGBwNGi4dZO+VQ9oTGOydJw53RFsn7gq87RzxRfn1gkgkfzmlVtcCHQzxUnS0svV+yVKZPKcLrq2ClTAvDroyW3xwX9TPKboxUPJjWHg5zGWKZVVHpMq45Va2NgCZaw1kzv9SMt8GBaI4TAecejZcN85ZivOjoHifJIIsWULlqOpjXz1tIZxxdXBmSJ5HTZ0TrPMNX44Pj6tEUAXetYWo+UiiKRfHli0EJwOMj59aMF08rQGIvzUHcOISxfnc6RRL5fSTA+4F1c7B5Oa8pUEUIsDBdpwo+uDAhSkEvB6aqjzBO89ygp0YmgNQFj49SjRW24td87X+AnVcOgTOiMITg4WzVc28n5g6sDJLEz9/G0obFRqaSEiIvAquNk2XJzpzg3HLs+LgjrVv7DQcZXx0sezGoKrUi0oF1FWm3ZWCarlkSJl0ppX4TTZYsP0b43VYphnlB3jl8+mL10ItQWL8dlZOQW+B+HEP5cCDEA/kwI8R+HEH5xCe/9UeFVi6+bjsvGOJSScRvuPSeLFu/jFjdN5HMz54ufs9uL75HIKHGTUnC8aFECFo3h6rCgtTHYRMtZiffQT/W5HzfEbsRFa9nrx237/UmNc55l60DAsukYZBrrQ/TZtgKlJKcLSzpWZEmkKsos0jIPTlfUjaFIFfv9lPtnFaeLjofTCi0Fy85Sm6jBtz7QtAECIGNm18+j3jlRgv/8Nx3LzlE1hsbEeZYhQG0jNXTvpEZKyHRc4CarjofTJgZc43nYdoy9pu2irnrVsfYL78gTAUSPmapZsmwNaapJlKQ2FuuhMS1awk4vY5ApTuYNeZIwzBXGelpn6UkFHpaNY68vEVIgvMfLKNeUBGa1ZbeXMtKxGenRrCZLNLmWSEDJKDMUBE4XNb0s5cZOxu39gnntaIyns555YyhTTT/TPJ633Dldsl9m3Nwrz60K7k1qrq/H1HXG8csHc1rr2B9kHA5y5rVh2Vh2+jllqtBCsOosn+z1XyqlhedTKO3aIyZV6nxXV6SKRe23fPsl4LUDeQjhIfBw/d8LIcQvgRvANpA/g+9TfD1v1gESLUmFItOKzkVfa2fDCyfUPGufWhtLEIJ5bfjt8YI7pxXWx4e+szEgf7pXsmodq87xeN5wbRzb+n/+YMr905oQ/JrXjgGjbh3TpuMnV/v85b05gsChyii0wnrPp/s9/vbRnAcTz04/oVCK4AOzVfQonzaWaeWYNwbjYqbmEGRKIJWkqTpSJQk+2t+GAPn6NAUPUgmMDbgAjbHxNUDn4usCYIBcwrBUpEoxqw1pIsF5vJQgQEvouhiU6y5mJRJoO0/bxS96CYQgQUmMcSRKoQQIIfHOkyYarSSewLDMY/HypKXINDtlxrK25PuxeGhd4Gje8Pl+n2ujnCvDnF/cnyGJgzAaCQS4MswxHoosSh9B4L0nIBjmGbf3S5a1pbEOSVx8Vk0slFad43jeoLUkuMCvH8+pjeOzg348MQRa5/nqaMFZZbi+U0CAylg66zkcZAzyNFrtukBrLaMy4w+vPT3Z6Xl4UUFfCEFlHMP8iQ2F9YEyUz94L/HLwKVy5EKIT4E/Av7Bc372x8AfA9y+ffsyP/aDwsXi63cVfzZ8eqpid2CiBc57TuYdZSppnWdSGYa5fu5icNE+9c/vnLFqDP/wmwlFqrk6yni0aPlPfvmYT/ZKRkXKz+/PuD4uublbsGodf3V3wv4wZ14ZTquGo3nLsjbsD3NWTcukcrjgcV5wbZwzXUYZ4biX8njasmgsZaoxzlMbz04hMT7OBK2MpWksZaZIpeDOdEVtHKNMszKeDfFUtx4pYbcfm10SCYvW4EOImnQCvUzhvWJuLUqBcGAd+AAKSDUkUuIBQqBpHdaDkrEJpm5jEO9M/EwB5AI6v9awePAJNNaTCfA+ZsfFusmoMqCVRRQpq7ojpIEiybF4hrlmp0zwISCFptCS6wc9hrkiIBjkmnkbO2rzRDCpDPPakmWKJMD9WY21HiXhbucQIi7eV8clq6bDOJjUhkGi+OZsxSBPGRcJVecwIbBYtigp6WUJQcCjafSwublT8nBao9eWBomKk4qq1vObxwv2+hk/uZEghCTRAuMk1eYEvQQvKugb6xBEOqpIoxVxZ584QG7xeri0QC6E6AP/Z+B/FEKYP/vzEMKfAH8C8LOf/Sw8+/MfGp6XuXx5vKTQEoRgUrU4n7LTS2MrtnUczWu0VBSp5lY/QwheOuhhr5+xU6b82ddn1MYjRfTBvjUuWFSGo3m7zuoD1q8YFLFVe1Z59Jp7X7WxYaZfpMwaw7SOJlip1NTWc9DPOZ23nC4blBTU1nO8MJSZQqs4rzNPYjPQ0kaHxyzTHC1aTuYV89YSrOOkc1TGYTxYCy3QB+rWUnUgFODBWUvdxiy8tg5rPN5FKWAI4Fws1iigbeFxZ0h0/L7zMQv36wzUBtDrbD4Qg3cXHXSRQAfQQJHG308USCWpG0PVgVLQyxM8HuehcZHLH+YJjfMoF616lQwcLTrSRHM8BxscD6ctPnhWXTzgLBX084SzZQtScnVcAILTZcO8btgf5ozyFOM8v3iw4HCYc31ccDjM47kwlrvrCUitcQgR6aVervnp9RGtjc1CSq5th33A4Xk8a3g0rykSRarWTUfTmmujHCUjjSSM4Kvj5UvVJi8q6Bsn+Mn1Eb98MGNRe8pMsddLz+/hLV4PlxLIhRAJMYj/uyGE/8tlvOfHiItBdlK1DPP0KW34o1mcIbnXT1m1jl89XHB9XFAmkqNZg3GBa/spV4ZFLFzap/nF5y0OXx0tOF62fHmyYpgqOis4WXVrTtnRuKjPTrWkc44Hs4q9XkGZSr46XlHmmtYYVp0lVZKvjheEANcGOeMioTUO6zydj3z2srHotW95TOICo1yjtULL2PAySiV3pjW/ebwk4PHes2hDDJQaOhsz6WBjdr1y6yDrntAniYst8VpILJ7Gg+PJDe14Qq/IANgYoFMBWkcaxRGDvXHxdbDOwgWY8OR7PsQFQEoQUuOcjz8PkHmQInZx9vKEprPMaodSgtWyQxFnl55VHUrAwTDl4bRhujTU1nO2ira7IgSSJMoZCaCVYtUYro9LhkVGqqKf/F4/47fHS0KAyaqhl0X6zVnH0aJlbxBfezqP9r9ZIrm9W+I9FDoO9uhn0QrgwbzhaBE93FMlmCw7jpYdt8YJrFVN+4MU52GQv5rx3HcV9Mdlyh99sruVIL4BXIZqRQD/DvDLEML/6vUP6eNEYxxfHi+pWosPgUezhnFpSXWfPFE8njesGoMS0ct71caRaKvWkqkU4wN/9+aIce9J9vJdU+Ifz1sWjeHBrOZk1rJqWqpOkSmBEirqygm01tNLNAJB1znunFQcDgqOFi1dZ7mqetGrZBV9RryLDSRnjWPWxizubNWybCxlomPDTKo4qyzWPhm1lirBjZ2Cs7stX05i9u6cxbpAbaFykAJSxAANMaCGEG9SRwyyFwO0Wo+Ocw4GKSzWHPcGG+Y1EIPu+b/dhSD9zHUKQPvMftEBrYEsgdZYvI/HqQFUDKhtB2kaM3bv4e5phbeQJFAkCi0l/VzzaNZytjIsupbjWVS5BMA4j+picbvuLPuDAq0EDyY11gcORimtdTyaxsalvb7GBMFXxyuujwqGhWZYpozyhLsnVRxGbSMnfX/S0BjPIIu+8FdHObv9jLun1XmTz+a+3O/nnKxqJnW3dkWMFNHhMF8PD/nuZrSXFfS/b1/HVnv+ariMjPyfAf47wF8LIf5y/b3/eQjhP7iE9/5o8GBaM1m19NIEraK2+HTZUqSaT/Z6HM8bfIDWWf7RI4NWMMxSAoEvrgxItGTeWvJUM606WuvjtnStwW2M4zePFzycNzyY1BSppOscK+M4WjT83sGQP/tmivOe/TLFOWi947O9PmKtakm1xDrPw9MVjQ8cDDJECOz1YhYpCYzKlLqzpOvGlb99PKeXJdwc56Ra8/OHMySBzgRccEghqJO4VUfEDtDHixVVG6fXb/jsdY2PzsZAmKkYQD0xgIv1zxVPgnm9iehA08XvaZ4O5vB0sPas6ZJXwKaIuHnPYGKgBkhTgfEBY9eLiohF2Pl6MUkEpDIuAEq69Yg9z68fTfFBYHy0mXV+vcOQUGaC1sSjd97TGkuQAong/mlNlkpujUsGpWZax4UzAA9mNYicUZFxsooFaYSgLBISrZAicPd0yT/5+T5/eG0YdeXLlnEvpUijB7vxgYN+lIBWnSLVgmVjmNWWa6OMXqbZWUtJN81oVee4c+eMnTKODLw4sPoyuqnftg31h4zLUK38/wDx0hf+AHExm/j5vSn7g4xEx8KSJ3C2iC3Zh4MoEzxddRwOco7rKo5MCw1XBlE9cjDI+Jt7U+5NapSI7fqpFJTrwP7b4wW/ejznzvEK6z2t9dSd58ogQwjBSdXxewc9JquGZevIU0Up4oQcAXy+1+PBrKJI4oKxN8ghwL1ZTSIkSgSMh7ruKFLNqIx8eZZEHxetFbWNAYsAu72U02XgZNkg8JwuJV8dz3HOM121aCFQUlCZQLuOtH79f0qu+ezwJIC/rI9wk0Q/G8RfBx5ILny+A8KahumqwIUmWEyAxsaFZsOzSwFaQNvFbN4Fz7yOxdJZHXcSIcT3tQ4SF/8KLaOf/aKNGbq1FqUVmdYcL1s66zAOykzhnac2UXd/Y6egah1H84Y0ldweFzTWQQvCi3Wh8clBu9Cx28+5MS6Y1h3LxtBaxyBX9DK9tjHWiBCYVZbjRcv+IEMQOfazVYuW6/s5PO3h/rpywsY4fv5gStt5erlmXD4ZiL2VK34b287ON4RnswkPHC9bgoBZFSfLX90pOF60fH2yQrDW1XYWLWOTzqpzLNZctnGB5rxYFf1QtI6qll89mPFo3iKEoHGesK7adc5zWndkSrBoDYVSHAxKbuyIOKVnZdbdl5tB0ZpSSx6tOj7LFVopjhZRwqikIFHQT1MGZcJ01XK8aPAh4Hwc2DCtWiarFu9Yb4VjyfDuZEWZZSgpmCxaqg4C0TTKP8NtCKB55nuSGFBfTTdxuXj2M82Ff619soBs4J75IsgnKpo0DfRSSdvZqHPn6d9frjmdIvXQmnUXq4j8tlK0zrNY1PgQg70Sgmnd0ss0Ugj+5t6MxgYyHbiSFnwzbfh0r4dCcriTcrxozw21EiVQUnLvLDZ5Heqc3zxe8nje8MVhn1llERJ6GSxbx9hF/5XpqmOnlyKIBmgueO5PGzoXh1kI4PPDwWtRIptnpzFxcpYLnE+NyrR8YzbUHzK2gfwN4VkZ1rVRzr1JHAR80M8JIRAC/OT6kOvjaJJk5hXH8y7qtE1scR/3NN9MKs4WcT7kbk8zKhMyHRtOlo3hwaw5lynulgn3Jg0+RI8MSQzYvVQxbzu+mazop0n0BNGK1tg4/PlkhdYKCXy2U/J43jKtOpyP2f/ZouHRsqOfSh7NG1rnmVYGnUAWoBIdD9a7hV6pyJSk7gyt9bQGerlnsjTMuidc97PPY0ZUqjwLz7e57PcBL5NeNRe2EiXx7/Ye6nXm/ezvbxYJ10E/DVwdpUybyHXLxkCqmCw7XIi/eX0s2ClTKuN5OItDv7WQ3Ju1HM/b2EAUAuNexq2dgjxVPJ7XZFqxaizz1nBrp2TZWR5MGq6Mc4pUclYZqsayN0yZrTqMd5xVLZ31SCH4/KAfrYCD58G0IU8URaIwznP3rGJ3bar1IkrkVR1Azwd06ydzSHd72Vau+BxsA/kbQms9UsDDaXvOWQ5zxW+PW0a5R8tYFDTG8Q+/mXD3dIWxnp1+hlYS5wPN2mTp8aRmt5/Sy2KL/dG85XAY1QnzxhJ8YGEMj2c1tfFkiUQEgXOe40WD8Z6dXp9V5znsR6nag2nFsEj4bK/HLx4uOF6067bpmPmt2o7jRfRpifMgLYNewmTlSbREhICSnlkdGGVrgliAkHB91GNadRgPqzYGrHltWLVP6ArBt2mQV5v3/uFhs3CBIE8kj5ffvTBtKKbH0wahBEoJlp1hWhukjFSND3B/VvHJbo/WWOaNoTUetS4oNMajpeXuadToF4ni9l7JP/jylM8PBgzyuNguGsu1ccHVYcHjec0/+LLmdNFybScnESJ2zXaWw6FgnGc8nNX84sGc3V7CvLVr+WCKEHGX2Ms0Xx4vOBwUzzWHuzhx6WUOoBvpLawHdM8aJquO23u9F1r1/lCxDeRvEPcmFb00oUiiH7aQkivjnFEZvVAWdcekdrH4mWrmTU1uLJ+O+igpo5LAe67vlCRKRs+TyiAEHM0bvGfdGek4XTbcn1TMG4sSUBsXs5dEk3j49eMF/SyhVygGay/rfp7y53enVG2cYrNsDP1UcTyPLdkhiDX/GRAKWuNZ1JZ+rtaTawKlFARvOVqAWMv0Hs9rEAJnPZbYaWnsk67Jd0GRvEsksPZ+Ccyb9juDuCYGchsgOE8iwK+ru85DE6fe0UtiE9NXxyu0XvPyJv5upiHPBJ2HrjF0IaCEYNFY+qkkTxXDLqGXakIQ/PX9KQKBsZ7pyqBkdMWsO7e2a9B8fVzxkxtD/s7NEWcrw/1pAwQ+3etFIy3r6ZzjyjDnzumKG+Ony2aJEkxWHY/m9Ut5742EMU8UV0cFj2dxJ9vLEj7d76Gk3BY9n8E2kL8pbIjqzf0s4qzK66OYqZytOowPa9Mq2O1njMuUO5MlD6cNN3cL9gcpX59UUT0iBI9mNTtlwtmq4euTKjaDDFLuntXcmzQ0naM1hqVx5CKJHiG1IVhHP4+zKx9OGqz1jHoJy9rwYK1GyRIdVQqNZVF364JpfJgEoHWUxbXWE+o4XUZrQariLiFRcV5m1QVOFwYBGL9ud3exePlDRAKxFhBeXrDdQBK17a0DuV71Nr/riTLN2KkKtYHUx89AxAVA2tjA1NnY1NW2Lnq/d5Zro5zdVcv1ccGiMfzl3TN8gM/2e8zrjgfzhiuDBCEl6Gid8HBW4YPg2ijnYJDxyV6PeWNQ64J1bRypklwdFUgh6K+HOV/Uki8by6SKRmAv470vShgzHQur18blU86c8HaLnu+7DPKDCeRv6kS+sQskBDd3Cma1iTahWnJzp8CvXec2Gc+oSBmVCbPK4H3g090+WkWL2kllSFU0ujoc5lwdFUxWsTX70/0+P70x4i/unLFoOnp5Qpkbxr2M02VHCJ7OBryxtF4QnKUzll6esmotXXAMswQRPLPW4atuPRw5sGwdLkTViHWONAEfouY8lZsiXQBPdBVcB+wqBDqiciPw7WLeDxGGJ52mr4IN3SSJv+Mu/PcGQsQuVqliV6oU8X9KQWLjz42LU5icD3gRKNK4kD+Y1kgVja8WjSXTGh88s8YybSy3xiXfTFfs9XLKTPLNxGGd4w+uDzlbdfyH//AhaSoZpJovrgz4bK/HoEif0ox/cTDgdBmJss33jxcNB4OcVWtfyns/K2F0PnBzp3jquXyTs3efxYcgg/wgAvmbOpFv8gJlWuIDXB0V59/rbNwq54ni1m6JUgItJYmSjMo4+1IpwX4/wTgY5pov9nscLzu+fDynlydYH7DW89lByeNZzZ/fPeVkaaiabm29KpAymmlJApPWMSoT5o1j1Vg6G1Ba0HQB5zu8j/4dznmUEsyb6ImRpyCCoHOB1sDKRd26CDFg5ErgfKB2MfhsWtoFMej80AP4RfwuhdqL5+/Z37cB9NrGIEuhTBRCgjAefJz9iQe1pl+yRKGlQEnFvG6ZLVr+9M6ET3Z7aCko02St0Rc4os3xrG756rhj2VmUkBzPW47pSJQkcY5rg4J7k4pBljBtDMZ6+rnmi4PBOWVyUUs+7mUMck2q5TnvrWTM1PuZfu5Eo01ydTiMVgEX8aZn717EqwyEedf4IAL5mzqRb/ICvazDba+fMas6zipDmSpEgDLTKGBeW4z3DPOU2nhGheZXs4ovj5ZkiWLZWe79MtrUBi/xNnCy7MjWXZ2L2hACSBHNnXaLlGXd4YNn3npEA2WusQa64BEyzmzsvMC72NwiQ8zmOhvlgArIRMzSWweJCTTrhGgTxAOxBf7Zzsgtvhub8/eqC6AjNk4JYiaOEGgp0Hisjpx6Y8CbyJeD52TRxGAtIQjBsjY8mqyojMf5QJ4qlJDUxoCQtMaxaC19rUgSyZfHS8pU8cluiXWCpbHkWvHX9yZ8djhgr5fGIvqkIk/UU8PET5dtvNdXLYmMz8K8adBCMCyTpxKn5yVXTWephWCYJ089S5tn7E3THa8yEOZd44MI5G/qRL7JC/SyDrc8Uez2M746WvI309jq/vduj/l0v89f3p2w14vNQ9YFfvN4ibUeIUVcAI46vny85I5ecTgo+K0xPF60GBtHwiktGKQpAcFBP6c2jsYEtJZoJN65aJvaGQQ+8rcB6jZ24CgFOlGYziPXUjdP7GpUMja+zOwTk6mNyk6yDeK/CzbnsZBQ+Sff+y5Y4sOb6djraowkiLgID8qoPOpMYJgn0azMdIggGPdytABN4PGyxVjYG6QQApO65fGiZa+XUqx90FfGcbVMKVNPKgVfHq0YFimHw4zWOE7mLXuDnFwr6i52rwrgD2+MnwrKO2XCX92b4kPcaUaTtmitezH7bq3/VnI1KFKMdUjB+bPZGcdf3p3QyzQHg+y5Iw8vC68yEOZd44MI5G/qRH7f930enw68kGP/rg63adXxywczDkcFt/d7NMYzWXXAkqqL2VAvjZrxZRs793Z6GWeVYWk8SSJ4NKl5MG24e7JC+jgVpzUO7RU+cWQKro4zvj5d0XkPIZApQZpnKCGojWHVABKUEPTzQGXiln3ZOJSIHYqa2KG4fKbw9myTzvuo9f5QYImqlFdFYO3OaBx1ByiHWBc9Ey0jD51EGq1tXfSjyePkn3Evo7Oeh2dLdvs5u2Xc+YFlmEgmq45skLOztgJ4PK+QQnC0iMOof38nQ0rFrx/N1x28Lfv9jF6mmNaO//Q3pyAElbHnxnCnS8/VYcHXpyuOFx03dwtCUPzZb8/4e7d3oq/MtOY3R0s+3y+5On4SkDfuiZsM//6kYmkcwyJBIHg8b7g6Kki1eiN0x6sOhHmX+CAC+Zs6kd/nfV/kLBjWW77nWdF+13bvy+MFvSyhzDStdSxby8mi4c/unPGzT/eYVYZHs5o7p0vOli218Yx7KWerjrZzNJ1j2cXfA0+WJkgCMoTYAt54fGg4HBakQrJTxPmMXYgPgHEe62OW3ct0bDE3Mc1uQ/QVcfJJ8c2FFzewbHE5eNXNzLkNAFFTnhJrFz5Emee8MmsZomSUJ2QySldTrRhlcbCDlFBqiSBwNG8Zr7XgZZ5Q5HB9t+B0ZbiSKCYrS20sWkXfl4eTChdgUXV4F906T1ctxgYmq1jkvDepmFWGPKn58dUhnYvumNdGOS7AlWGUFSopOK1is0GqFLu9lONVB0JwdRQLnBeTq/OBKyEuWLFAD5NVx9VR/kbojsv0j3lT+CAC+Zs6kb/LxJ6LW76Vib4i++vM3AfPZNVSJep87uWLOtq+Pl5xe6+ktWtvDBVv2Flt+eXDGUoqEgWrJmrHvfMx8xaCRIvzCfXzOtqjai3wFpr1UF9CbJv/8nhJ0zkSLch0LHpVxrNqYqETQfT9CNBe0Hqz5sI3eDbIiOd8b4u3A8naxGv9tSd2jG6KzYt141VnPIU2XBlHtdSs7jAucLpqcQ6UUggErXPcP13R2kjBHQyzOBu2MzgLu/2USS3oFwnBB2oTfYIORjmTVcudkyWPZg2plpRpnGS1bBw7/ZSqdfz68YKDQUbdOpCBunP89njBb4+XcSZoZ/m9w2gMt9dP+easRiA4W7bsD56eEbqhQzMd/WgSJdAqSiDfJN1xGf4xbxIfRCCHN3ciX/V9n8ene/90KJusOspEY0NACPGdHW1Fprh31lCkcQyZJ/Bg1rBbxkG5zVqyeH2cc3u3BAH/318dM+xpEhlborM1j1lbTy9E6XqiBNNViw1xSnq1qHHW0StSlBK0xtO1Jnb+idh5ueG3N3E7AM1Lzsc2iL87PLsT2uyaNsM0NkXTzsPjZUeaCkSQrBrD6aImUwKdJIzKhNpYlq1hWTsGZYoUcUCFdwmJlMy6lkRDqWNNZ9Ea5pWJiYOHaW04GBYUiWRaGarW8ul+n+NVg1YFs7pbJz8Zlek4WZo4Uarq1mZh0RvobNWRaImSkhs7OakSzGrD4TB/Krna0KHjMuXRLN6lwYe4Q3nP6I63iQ8mkL9rbG6gmHVHq9DTZceofDKDcLnujnQBUiXZWY+xqjp3PkX8dBlb9odZwi/O5jyY1uyUmqrzNM5zfZijVHSqE0gez1p+/9oQLQXXdguWtUGnkmAsvTzhppRMGoOWgmAMq9rRWejlcbzWySp2V+7YFqWIw4WjYwBZunbee+Zv3QbpDxcXiYVURupsuooSF2MdzoJCUmZQt3FH11kfh3p3sW101RhOFg2DLOFwkLHTz+msZVa1LI2jNhaqgPMBLaLdrbUKJSFNFA+mFT+9vsMgj+FlumqZN5Yrw5JAw2xlyFLJZ3s9jhYdiRYI4GTZMi7S88aig0H+rcB8MSG6Msw4XrasGsvtvR7Xx8W3dtPveyPPZWEbyF8Re/2ML4+XTFYtZaLR6/Fly9owr6NH88miIQTB4SjjaN7y25Mlh4Oca6OceRMfhEzHSfJ1Z1nWHc55Qojt0cHHm25eGxatY7CjkFLRdh5daD7ZK/j6JJBIgXUwqw2dc+Rra9zGWMx6HJkL0HX+PEjPW+gnMWOrfLzw03obtD9GKKBMwHooU8WqcUgZ+fNEQ2UdZuWo1+Y2qYTRIEErydmyJdbFPbnWLFpHoOXaOEcQB3hrKRkVKa1z1I2JSUupWXWBZdVS5mm0cQigleTaToH1nqAEt3cLHs1asiQ2vR0Mc44WTeTgreTKlQwpxAuz64t0qAlwfVSwd+P5wflDaOS5LGwD+SsiTxSFllSJwoZApiRfHPYx1jNrOjrjORzk1MZzturItSTXiuNFw7iXsqgNUsjzjrajRcNuP+fqTslOGYtFP783Y9V2DEuNDXCy6rg6KDhdtSxaQyI1UsBXRytOqwbrPVpF3xSlBPvDjHtn8el8nr1qa2MzSdQnxOEHZhvJPzo4iEOhBcxWDh+eSES9hdaDsk92YsZDYSzOK9oOEOAQhPVIj7pzNMZTdZ4vDvskieTRtKFt46u+Ol4yqVN6qcZ0HoddW+Z6tIKjWYNWkmER/V0AxmXKII9F98/3+5SpZt50+BDvy+8Kts/SoZuA/WzW/SE08lwWtoH8+0AIbu2U55VyiJSLlPHrMlXcOVthQ5wc364Nq6vOsqgNg7VaRMuY2WSJop8lHA5zjuY1s6qjMZ69QUqmPScLg3cVjYmT1stE09pAZSIXmScJO72UxcpQ5HEifC8VLKqADE8KYBtVWxNitsb6e902iH8U2BSeL17rQNSUN/6J26Tiidf7syPxplVASksgLvbGeIxzpCrhrG4pK03dWU4X0RCtzDTOer6eVAgBWgrazrPsWn58ZUxtHIHA/bOK1ng+OSjp55rjeUeeCh5OAmq3tx4vFweJ//T6+Htnyt+VdX8IjTyXhW0g/x54me7cuDhtfq+XcrzoSFX0oFBCMG8s13cKrA/Re0Up5rVhVhsez2u+Oa1IlGRWd/z2uCLXkkGueDhrKbRkvydYGcvp0nAwypm1loBFklHmGiFgWCR0NtD5BhHWY9Oec89K4oV/1ZFnW7zfuLgeb0bheZ40F7U8CeTPw0bKmPhYSE0BpQQSmDWWunV8M1lS6oSlsSRaUC8tizpaKGeZpraONNVooZisOr44JA52Np5hoZFCUneew1FG1RiM9ygFqZDMmo4yTc5FAcA5xRgHniQMc/1cfvu7su4PoZHnsrAN5N8D5y3BxrFsDVXrEAL+8PqIPFHcX2cnp8tunSVFU3+B4OooY14b9gc5jWmpjeOr4yWf7JY8XjYsahsnrUvFqjO0RlLNDP1cR6+MNKGUjkwJrPNcHxV01hFCiC31WpLKOOh3p8jj9B4XL3DgiZJhE9eV4tXt+Lb4ILBxRnzeZQ18u6i9KdObZ/6Nvivx/l00LdZJbo4LslQR5oJZ2yFEYNka+nmClpJURlvmUmsIgcfTmuNlx7DQ5EpFjxYlsC4wyBL2Bhk/vT4+z6Y3fRxfHi8RIZBqxaw2SCGYVS1aCprn8NvflXVfHxev3X/yoRRLP76l6Q0iT6Jr3NGiYdU5ilSxP8jPnd5u7JTslbFpB+LwYmM996cVPgROVx1/dXfCP/xmSuccf3B1yINZw6NZh9bgrKcyjkIramOZVgbrAojA41lDCIE8i17gxbpoqtamWyrArHIMCs2t3ZLP9koGpaSfQqogF3ECzwbWbQetfox41V2WYD0b9cL3MqJNQKqgcbG5p2otmYY2BKrOU2aKMpHgBGmqGBUJUkla5xBeYIMnTzSjMmOvn1Jbz6N5zXxtjbxsLDYEroyKp7LpKNeNHvwr41h1lixRlJkm05pVa887Ny9ik3VfxCbr3nDpm9Z++RLu/VlsaBsfIm26sQFozPuXAW0z8mfwshV41Vpu7fbOt3IQXQ03BZTPDwcgBKfLWOyZVh37gwzvAyfzhlGZcTiMwX/RdBwMcsalj7M5nUdJwbQ268krGXL9tbWB0wUgBCGAl4ZFY/EErgxzBnnC/HhJqhLSRPLF1SFSwWnVMQiQSslx1eHamJkZ4sXfTKTf4oeHDV8uiWZnSsWxfk3nceuOo84FoENIQSIk1ntSJZAaruY5y84jZCB4QesNBkmZaY6W0aQrrMXtiZJ8c1oxKhI+uTXm+rjgwbT+dm9GCOvuYk+xfu42DT/P47df1p39Ov0nH1KxdBvIL+B5hZNnW+7njWXngnYcvl1AuT4uCCFwVnVcHxd01vPl0ZLWejpncRY670mUomkNVRun3g/y2KBhrKefKYZFwv2zBiEFBz1NFwQ+eKwlblHzhDLXtJ3j0bQlk5JFYxir6D396e6AqpuRqjhA15l4wdNNj3eImfmWK/9h4iKf7kMM5lXrMQEyCVkCVQetDSwbQy/RLFtDmij6uaZfJtS2wfk4gNsGyLzgyjDFezhZGTIt+Gy/Tz/XnK4Mo17KaK0vf5bDjklUx6qzNMbRGo/WcYTcKNcIOOfQN3iT7fMfUrH0UgK5EOJfBv4t4r3xb4cQ/heX8b5vG8+uwM9ruZ+uIl83LJ4E82cLKJub62je0PjArDb0MkWRRjfDVePwHjyBprVIJSmlilrciaNMJKlWdF0sCAkCs8YyKDJa6/EhoJVECigSzWxl6Kxn2XZordkRks565pVhv5+zaAzLriUAZQpCC6wNWP/iAtgWHzcu1ksg0iyVecKja8XaCnnjzhizYiElQki+2OvTuYAvM7wU3BzmHC1aikwhhaKXKwZF9CDSKiZGSkimq45fPVowbQyf7/fPqRLnPfcmNZ13PJqumNeeqrPr3xekuyWLJg4Rf3Ze55vq+v6QiqWvHciFEAr43wD/EnAP+C+FEP+3EMIvXve93zaeXYGf13J/MIgNDHnypEAzbwyFlnx1vHyKjrm91+PBrKafJ0zWbfenq45epghI6tZjPHyyk5NqxT0BUipGheZk0TKtLYNMs2gtQkpSDadLS6Ki0b+UMGktuRAsW4NSCuMsq8ZgraP1nkGWkinBINN0jaHqIAmB4EDpOHzAm4938PEW341NSKqfcV60DrJEooSP9AgwKjOuDFLSROIQCAk393rs9FIOBhm7ixZrPMvG8PlBjyxVJFIwqcz6GVH0+ylSCH7zeEGh1bmN7f1ZgyAQPPTzjEw7Hsw8k9pwZZhztOgYldkrOxxeRpHyss363mTh9DIy8n8S+E0I4SsAIcS/B/w3gQ8ukD+7AndrzXemnqzA/Vyz7DRHi5plY8mUJE3VU6b3Gx3rXj/jbx7MCD7Qudjan2lFkQruT2JDz+39HjtlyqBIUEry+1fhy+MVQQjGhebxvOF40ZAlmqaza7dDcCEgfcADk9bhg+dgkNNUngfzOs4BLRKkgPvT2CzR+riNFn49UtTFppE8g3YbyX9QkDwJ4paoYNnQLIr12DgloxeKh0IrtJIsO8/tXsbuMKNZq7aujQqGecIwT1i19lwxMqsNqZb89mhBmSdYHdjp9ShSRQgJv3m84A+vj84137OqI1GGPFGMy4TOBZSEcZHQyzQhxDb+UZFwYyce+4uspS+jo/MyaZs33WV6GYH8BvDNha/vAf/Usy8SQvwx8McAt2/fvoSPvXw8uwILYrX71u6TFXjRWOrWcnO3x42x4JtJFafd9wKtDUyrjlVjmdYdXxwMyKRk2nSsOofxgabqaIzkxriglyfMa8PjeROn+WjJwTDafIYgECJw92xFnkQfi9NlzNIlkCeCQZ4SbGBZm7hNDi0ET5IqnIdHi4oHU0FjPcaw7tOLg30tIF38hhCQyyfFry0+fmx05X7938NcUNuA2wwMCdAZSwix87O2jh6eXqrj65zHrZUs35ytuDEuWHSW02XHT9ZOho7AX9ydcrLquK4FvX7KvInB3QXP0aLlq+MlAEezmnvTqBCJnHugto5cSayLuvYiVci1zzm8ODjG3fPlFCkvi7Z504XTywjkz1OxfUsIEUL4E+BPAH72s5+9l0KJiyvwZNXhfKBqDUeLhoN+hpKS40XD4SA/vyAhxKEMf31vinGBXqbZKTWN8fziwYxhqXm8aBEizlZ8uDKcrFrKLCH3gWvjHL12esu14njeoqTg072Cr88qhkUKAc6qjs5aMh0bNaSIRZdUCdRacTBv4g2eWB89VSxIApkGmUWnw4ta4lxB5+Jcx+RbZ2OLjwHPDm6GJwv6uhufTD5RiySa85Z+pSR5rgk+UGjJvDFoIZEyDga/NixIpOVo3rJsDIejnJujHC/hb4+WtJ3h1m5B1TqmlcOGhhujjMcLz6K2HPQTjhcNd09XeASsaz+rtqVqJfiAENA4S6bztQTQM0ifNA09LzjeO1vx2UH/qb/5XRcp33Th9DIC+T3g1oWvbwIPLuF93wk2WvHGRC7s6ijneNHy9cmK27vRF6WfXzxtgeNly2RluLETBy0/mrUcDjOsDzyY1mgV097OeCZ1i3OBuydLro5y7px6bowLCi1pnefRrEYEOBhmTKuoJ3EhoKWkyBK8F3RdhxCSMpN0NpBmCrPWyYYAjYueGptByJ4nHtYX4dyTZqEts/LxQRAXaA8kEoKMmXaq4+KtVZT2BQJ1F03VhBR0PuAclIlmf5iTSqhN7EhunGPZdAwKTeM8ZSZJ04IyVdzcKckSSa41IQTun8Wi/q29gjvHS1zw3DlbUWjNwTBj3MuZVoadMsOGuJuVSHZ68flDpBjnuDEs2F/zyb1MnwfEi8GxMY7JqqO1jpNF9DH/LkHC28abLpxeRiD/L4EfCSE+A+4D/xrw37qE931neHqll9ze03TWI0WcSH7xggSiFFAIUDIaDJ0uW5z3lKnm7knFj64OSLXi0bwm1wqZCKyHxZpP/PkDw7KxHA5TDvpxAThedYQQ6OcJ08oihY3Zk5ZUnWCkJb1UM8gk89aQKoVrOpyLmXZln3TqafftIA4xI3svt0ZbXAoCT/oFrIdCgZfrHZiCnX6C9XG5l1iQ4FwgVQKtJXkaOfJUJVi6KGNtHEIIqtYyKmNX5yDT7PczMq1Y1B1nriNRglljKHPNTpkSDvp4HzieN7HP4XBAP0t4vGjwIcobq9bRH2mu90sa47m1U1Jb/9yhy/C0tfSjWU267iDdGWTcO1txc7fHINfvxWi2Nz0u7rUDeQjBCiH++8D/g0i7/e9CCD9/7SN7h9is9JtVvnOeRAryVPPZfu+pC+JsYL+XkCeKSdVRtY6DYbTizFPFfH2DhgBfPl7QWYeUcZLKqnVUnY1Fj3HBpOqwPnB13X4vhGSngKqXkKhACIJFY7i1E82GvA9kqaCnFdPG4n20Km3NkwkysZ3j29h26P8woIEiidLClYFeAlpDL08Q67qMCxKRCWpr2B8W9BNN5z1aSTIlmdUtrfM0raG1AR8CszQWH68McwiCIpHnfHuRKKzzrDrL43kdv5dqDgc5V4c5oyJFyjjZhwCPly2JhGER39M4uLVurtsUM59XbNwEx7NVRyLl2nM9RKnw2pVUSfFejGZ70+PiLkVHHkL4D4D/4DLe631ApiWLxnK2akmVWvuHO5pVC/u9py9IKjnII2f+N/emlH2NkrFYmWnJH326w53jFS7AvI4V+UCUMwoR8N5TdY7WBhCeVetY1IYvrvS50mVc3y3Z7a/4q2+m+BBYGcf+IEUrgbeCZdsxdR4hAr00duUZnjjibTZyz7O13WAb1D9eyPXQbM/6YRegtCBLFVrATpFiQmDVSLSK/REhxDFxk8ZQaIG14PF0TpAlEhcCJ8uWTaqw38uYNR0/vTZiWCY4H3+iRXRRzDMNQfBgVvP5WjhwsmxxPhAIWOcQKAZFVMZAiBV4vrvYuPnZ8aLFi0CuFFdHOflmepYUfP4MV/4u8SbHxW07O5+DvX7GnTtnaBlvbusDAThY+6rc2CnPL0hjojGPFPEhWLWWZeu5Ps65Oiq4Msx5PGvprOfKsGDRGnqZZlymGO9pTWCnl2KDp9Qag6eznm9Oa7447HNrt8ePrwz50ZUhf/H1GT7M19SOpuxJpm2LFJ7gA8YF8hSyALV5Yl/6srFt2yD+8aINTxZ0Beuie0LVRW66V2gEikk1x7nAorZoEdVZwXtWTpBIgdKSvgItFdY5vI+++yHAP/7pDnat2Lq516OfKu6crADB3UnFJ3s9rgxyvHdULvD7eyV7bcovH85oXczqnY9WFwf9aGHhX5HzyxPFrd0ydqZe4JvfNSf+trEN5M9Bnih2ypTWumg5qyVXR/n52LZnX7vJ0LUU7A0yDgf5+Zaps55+pikHCjPMOVu1hPUg3KNZg/GeXMV5h6IEgmDedBwtG66OChIFJ4uGqo1eE3//i30ezVryRHKybDhbdVSN53CY82C6wpq4dYY4ys1YviVbuDg4+Xmqhi0+LqxzXGS0NMSubR7OVh07RcqNUUY7KjhaNCzbDoEgTSWFVMxbR7qZl5lIfAg4F62ZP9/vMSpTOgsHgwzhY4fmsoWvTlYcDnM+2Y8a8T+7c8ZOmTDuZTyex3v7v3Jrl98cLxjkceDETi8lTxSd9STfw9HtTfPPHwK2gfwFGBYJPiTfMsd63iq/CeabG0oKQQjh/IYaFAnOeRIt2e2lnC5bilQxLDXGx+xhWCT8+mhJZx0H/SwqYILnVw8XXBvlfH5Qsmg6vjmr6Oeaed0xbyKJkibxARJSEqSjXmvGUxU79CA62xmeDCC4OGh5i48XmidF79pFf/o8jR4mWsTuzGlneLRsqBqLUoJUxYC96iL1oWXUZSskrbfs9KMktjaewgWmVYv1jmXrmLcW66O65XTR8XtXBlhvSJTE+8C4SDiaxx3qrd2ST9YGdD7A2bKlMg4B/OT66JX/xjfNP38I2AbyF+B3WeWfd0Pt9TPunVWc1Z40EdyfViyaeLP+6HCM0vCnvz3j/qphr8woM0mZx+IpUlKkkZ8/XrQsWkdrHS742ITk4HCQc7ZsmFSGzkQJYqZASJjX6620ig/wJvu+GLw32+6LwX2Ljweb3ZbkiRy17jwIyKTnbNkxqTqEF/RyzXxtnTwsM8AySFJC8FTGcrWfk/qEQIhFSRtYVIZlbcgzzbjQtNZjvGevTGMhf1qRKEEvVVTGsdvPEOtjOF60XB8X9DLNLx/MCAF6WZyadbpsyRP1ysH4TfLPHwK2gfwF+F1X+WdvqE0brvUV96YVdecpE8WyNUgVt6S3dgvmtSVNBAHoZ3E+6PG84fE0oJRkp4wSrLazzH0c9FwZi3WRU29M7Ph0jsiTpxIlPd1ad7gZFrCRIQpili51tBq18dl+rkxxiw8HzxauHU+Gi0hAS5ASZIDKBI4XDfuDjCxRsTCqLCBi12eI1hK9TNOXgj+6vcM/erwgEJhWhkXbIWXKTpEyrzqGmaSXKUZljnOx/+Gr4yWjUlNmiiLRSCGQBBrrWLWCvX7Gg0mF1pIQQAhBoiVybQX9Qw7O3wfbQP4duIxVvrWefq7XQTqwbB1CWIpExkJk59nvZ/zocN0QISV7vQwf4NG8ZVwma5miXLeRKlIZGGWK+5MVPgSkjD+zPmbje72cnX7G8bzGukCaSKZVy6rZTH6BTMQOvlyBSiS19axM/PlG3dBueZcPDs/bVVniNfVA5yF0cbEnQGM8p4uWcS8jEDA25vDT1iB9IE8EV/sF/TLhD2+OsSHwjx4uz2s/IDAhtu7naUJjAj/dKfnVwzlaxASknyUYH/jRYR9PtFRWSnB7rWC5e1YxLBISLbE+8GjWcGWYbQeDfw9sA/kbRqYly8bycFojA3y+3+Nk1dCZwMPpirYfW4//4PqQk2VDIhXWOzobq+6Z1tgQM6lvpi0H/ZRFY/lH84aVcaRCEIKLwyJCbPpItaSfKxqTsGwdWSIoE42WHusDitjAZGx8uI2Jxkg9FQfvCgDx4kaiLT4cCOKiLdYLN0Q7h2WzbtV34L3Hh4Y80RBiUTQTgiJP0FrQLzW9RPAf/81D5rUlSwU7PqXzjn6uSaSkn0vazpGPJf0s4YvDPr85WjIqEso0oZdJhnkCAlIl2S0Trq93vImWHC+izXKqJGWmOF62XB8V7/DMXR7exri4bSD/HbG5OC8bELvXz/iLO2c0XRwkkSSSXXIgsOos1ntu7gyoOsffuTHm8bTm//PrM6rOM0gV6VBgg2ReWzrvGSrFbG0Jul8m2AA+CHq5YLZqkVqACCRSUaaaVAkylVA1jmEapWOTymJdbNtOhUQngcbECC599Nuo174sFxUuW7x7SOKu6bxjkxdfI01MABJJNGLzMaBL8YRyYf273gcWjSHPFP0koZ9rxmXCuJ9Rdx4J1MbFdv42DlruK433AR8cidTs9nP2+xlVZylSzT/92V6cmAU8mNY8ntUIIbg+yrm+pinnjcVZR2c9RarwPnA0q8lSzd+9MX6zJ/Mt4E27Hm6wDeS/AzYXJ8oIv3tAbJ4oxr2MYRELklLBlXXn57w2/OG1IX94fURjHL89XvJ40XJ7v8+aMOR43nB7r4cMgAzcOVmxqh15pmmsRwW/zraj5/jpsqPpHFJ4vtjvcbJsyVOFUCWLyvCoMijJerAFOAH9NCHQ0XSRY9/8TBK16IH1wx+eKCC2eDfYdE+WCkoNZ218iKWA5ploriX0UkXnHN7FTFxLzodyb3pvXICw9uk56OdcHeQsWsMgTznsJVSdp+ri6LVUxdb943kLxGa5cZnQzzR//0d7XBnELPrZzPPzgz6fH/TPE6AH05pMSyZVS54m9IqUWR0HpEglGWX6o1CdvK1xcdtA/jtgc3HOVi1ZEv0djPWsWsteP/vWRRrmem3AFahMzD4CgavDJ8Y+eaKojOX3DgecVi0ni44iVWghOK06eqleN7sJlAxoBEfW0fpArjxz4/EefnJjhBaQaMGDWcOPDvvs9VPOqo4//3pClmt6AawPNMYzyDU+eGSQCBldEzdmWoGYwdkAXXiibtnqzt8tPOsRfTIG88bG67O5NpusXQE2uPMpP2vvNtbuxUgBSQKJikoRLaFMNUHExp9rwwwpJMY6Ug15krJoDQQ4GOZ4F72ADgYpf+fGmD+6tXsefF/VJ3xZW/JEMdDJuc9Qaxyj4uPw43xb4+K2gfx3wObitPbJgFgXPI9nLa2NvioXs5G9fsa0NkxWLYWOD8aisuRK0sueXIJlY9kpUwSCK8OMs1XHsrPMa8P+YUrnJLfHOX974qlby7VxwcmiZdZagnfcGvfBB24fDvjxtQFH8waBIFGS3Z5ASYkWcaBukUj6RbQondWBfi8ht57OOOa1JxfRLc/YJ7anG+XD5n9b/vztQwK5iA6G1Xp7tOmd2SywCU/UKW49RCRLYJApjA84PCEVZEqhpUCISMcVWUKmJYmSHOxlBCk4q1q0llwdFWipGLuEh5OaEAJ5qvjn/uCAw2HBF+tW+PuTinltmFRxsPjGtOpFPuE7vRSzNqTbNN/t9zOK9PKy8bfBUb8Ib2tc3DaQ/w7YXJxsXWX3wfNw2pBqSSKjF8VFHixPFF8c9PmtgJ/fn5Eoyc3dgr1+/pRetp9HH/NUS1rjCQFGeQIhMK8My9ox7GXIkwofBFIEdouUmTHkOju3Bu0VmmGR4n1gsjJ8dtDjb+7Psd4xyBNEgEQrrPcsGks/V1wblUyqjlXrUNrSdpbORnvbUkNr1wF87WHugZTt4OY3hefx3hst+GaSz8ZTp0xAmngtFHGEXz8T1C4gHAx7CYe9nFlnyHzAaE+ZSlKt6azFeomSAesdmY4dzL93OCTVknS/z/15hTEBlXkSCaMiZX+YcXMUd5RSCB5Ma5rOMihiR7TzgV8/mjMqU/qZppdpTub1t3zCDwYZX5+suNXLnutw+Lp4Wxz1i/C2uk63gfx3wObi9FLNybLldNnhg2dYZBjvuToqvqWDzZM4Du6f+nz/W92im9d9cTDgL+6ckSjJ/UWcTu5DIIhAbTw2BL48XnE4zMi05c5kRSoVn+z0yJNo1nVzp8C4+J51Z1k2HV8+XpIouDbu8Xhe08s0qRQ4FzDW0ctSAnB9VNBYz92TJUZKlPIou7ZATaBIJVmasKhbmg6KVDBtwraR6JKhIHqAP8Nhbb50Ic5Z3eyUtISdccJ0Zc5tjIs0JQkeQWCUp1g814YFUsCkaqms57DQLFqBcZ5+llJoSS9R9PLoBdRay1nVcXPco+os89piXOD3rw344qBHmmgyJVm2hl8/ijWjn1wfsmwti8aipKQ1jl6qOV02dC58KztVUsYakOCNdGW+LY76RXhbXafbQP474OLFGRVxysluL6NI1LlfRAjhWzzYy/iyPFFcHRX85vGCWd0xyhOujAv+5m5LmkqMc1SNxaeKIlN8ut8jk4pxL1oJLBobJ50Hz8/vz8m0YK+f8pvjBXVrUQJujAuUEHTOMzOGzw76KCE5rTpq4xjkmjSRLNqAFNDLnnh1BBG3wtZ5RrmgdTDwHctuS7O8DhJidp2u/5XEYP08bK7FJhvPNZRpEguY69ltSapIleBqr4z2s9ayU8RJVJ31jIucwlqkVAwywfWdkqqLY90q47iRR1WVsXHq1K3dHl8c9jlddsxrw/WdglGZ4X3gdNXFzH0dKP/2aIFAIKUg15LGRmsK4ySJ9nRrz4hns9OXBbbflR55Wxz1d+FtdJ1uA/nviM3FubGz8WV5ufvad/Fl06o7b1O+tRd9W/y6gX6nl649KAQ3dgrunK0wFj7fL/AIms5zdZRzbVxw/6ziZNkxyFQ0MkJGoyQfcAGGhUJJwbDUdDbQ2cCPDnPGZcLds4o7pxXLxlCkijzRWOcwLtqYailJ1zr1/X6G84F5JWDV0XThW6qJLV4NUsA4iUNLVq2js7Db19FJs3tCscT2myeWtFpHrlzIQGdibSaqkBSjMqVIEmZNTds6FqJjXKb0igTTBQ5GJY+mDbtlgpKC3V5O1Vl2S4H1gsZ4rPd8ulMg4tQ1ro5yfv/q4FyPvmzj/M1ESTIdpYO1dTgXg21j/Dpge3wI0aDrd8hOX4ceeVsc9bvGNpBfAl6VB3vR6/b6Gb94MIvj3FJ1HnSN89w5WXF1nHM0bzirzNp3XBO05+pOD+s9desYlwm51tz4rODXjxakiaTM4mSjREkW7dqHRSuUDCwrx/4wI5GgtSI0Du8DZaJpE02qFf21cqCznrNVA0IwSBP2rqY8nhtcCAQpyBJBtW0D/Z0gicVIqSRKCcLay3u+1vpn64KlYy0d9JAIKNM45cdYWLWW4KL+f1ymWBdVLdY7DsocX2qmjaUyges7CbovyROFs7FgKYk7t27m0FpyvGwZFpqb45LDUY5Wkk/2egBPORNWbTSEAxiVCQ8mVWyvBwZ5wrTu6OcJUnBewPxdstPXoUd+KM6I20B+CXhVHuxFrztdxq62IlXRa0IJ+rmms+tuPB+90J2PLf6JiJKx3V6KRDC6EjXlvUSRJYq/d3vMybKjn2n++v6MTEcPjCxReO+pXWCnTPnJtSF1Z2lsFBuGAGkShw70Mn3+ENbGkeseUkKaxnmMWgaaNkoprQ2v1TSUEgPVx8q1XxzysZEGahE7cSVR350nKpqdaZBdDMRyPVS7W5PjRbJu3nFxOITzgSCjHjxJJM7HxR8BUgT6uUYoSSI1V3cku2VK3Tl8iJTIbj8jhChDvXuyxK5b9q+Pcm7v9SizOCVroCUhBJaN5XjRMO5lQODhrOZo3jBcZ/XWB9raIISgl3l+/+qQQa7Pf69INY/mNWWiGRbJW6FHfijOiNtAfkl41Uzjea9rbTTSsi6QrLMNLQW1g59eH2JDYNU6Ptsf0PmYpU9WLb85WnBlkLPT03TGoYUgSWIr9OmyozGeqrNIBdfHRRzGqxTGeYosjua6OiqREu6dLaPfhVIMigRroxnXZNVQ5gnDIuHT/ZKqc5wsO5SSXBmV7DvPL+5PcUSudzMA+lXVLBu64GMM4ufFSJ78jZtuS0Q8X9attfrW4Z3A23WmvQ7etXmiEEqURGtJogSrztLLEoyLBlTWQaYkOpFoIamNxYXAUCuCgBvjDO/h4aymnyUIAaNCM60tRaK4M6sJQpBnit1+hhKCeWXo5yl7Zcpk1Z1LChMluDepKDNN1VpOli2LyvDpQY9elrDfz2idRwnOf29YJCwbgxSSmY22tm+LHvkhOCNuA/l7gExL+nnC2SrOstcqDnEWAv7g+oj705rT5YJECWwI7PYyrgxzOmOZNZavjlb83pU+/Tyh6RzH84Zr44IHkwrvPJ0NXBsXtGseddl0aJWgEJwsWlbG4gMMy4RESnpOEoAvj5d0Hg7ShNu7JX9wdcTxomWy6hgVKeMy4bcnFVJJUhyOmEEOUk3rLPP2CZ/reFpOt+kY1euGo41r38diCSCJFIhWnDtQpiqeD0+UcEoiHeIDLBp/3lGbJdEqwYQnnZxSxIEQPa0pEk2eJOz2Ux5NKpwP54X2QZ6QJopZbdgrM/JU4oBZ41itC5qN8wwyjfWw20tZNIZBrtkZZHx+MCBPFMfLjv0yIVOxGPrzB1MCkcbpnKeXJuuFxDGrLKlSBATXxkXcXVwYVt7Poy1tpvW68Bnnee72vt089zz8UOiR18E2kL8H2OtnNJOK3V7GsjHMG3turj8uowqmMZa281TGcTjQTCvDME9QumWQpdgQMzarA4fDnFnT8cWVIR44mtWsjGOYJ2glcHgyrVEicLxsuD+tESGQJpFSSZTgbNWRK8HfvTHkyrhkv5ezN8h4NK9ZNpZUK745q5lXLVoFtIpeHkpAbS3GRSfG4KOu2dkYsDcBXRADljWQaTgcpBzPO1r34doAbLxPNv+dqqg+scSFq5cKGhdIFXR1PBfSxwxdaTDduuFHC2ofT1ZC/F6WQCIlSsW6hyQwr01c/AS0znNWtZSZomo9g1yRasHSeCbzln6e4Lzj2jjn/lmDMY5eqtBS0xpPv0wYZQnXxgWpiv0R1sV90v1JRdvFLmDn49e3dksypTBOMCoTrgwzGuvPs+uL1EeZKjr3pHlOS0Ft3PlrXqZI+aHQI6+DbSB/D3DxRlVScPjMzZwnip9eH3N/UvF41lAmijmWylhyrcgSSWv9erZoYNkalo3l6rDgn/3xIX95Z8LSWLz33JvUJCq2/v/5NxOM2wQIWFaG2cpQZJJbOwWDfIffO+zTWk9rHf/FV6ecLlsEgWVnuXOyiEoJ76OywcVuQ03MNJ2Hfi7oFwl162k6y2pNFUgRgzzE5hUX4pSkZWewF5Qal20JsJH6fR88r/HpeQOrk/UAD3hyzD7E398bKAZlxrI21MbE5h4JeRLPQz/XrLDIdfdjYyyZjgujdSClQArBqm6wLtC5gPft+aCQTEGR5mRaR25r3dG5ajqWncHjORwWlHnCtXG0jl3UljJT9DKFEhqlJKvWMPPRGKsyjj+8MiDVUVvuAiQ6FtFPlx2Hw9g8FNbcepY8X7VlXIiLw5o6tD6c0yWsm+depkjZPCPPerW8zS7N9xmvFciFEP9L4L9OvM+/BP71EML0Eo7rB4VX0chubuRp3bFoLaNSk1tJ3blokqUEp8uGeR3VKeV6slBjHONeSmHV+c1fCsm8iRz6Z4d9zuYNd87ijuBKL2HVRbuBn322R54oihR+82jG3dOa2hh2+hm/PV5hbZSVhbXjUr72/RAiyufqLkommza6PG4ai0KAPJFY7+llCqkC1gXyLG69vW9p1ha7qQIdYnOM44mfuuIJ5bAZMPwq0Ovxd6/6+g0FJIBizW37EAczOKLHyca6IJVPagRKgBdxkZJEZdDZomFWeTyxG7PIJFJImrULZi9LEFKgCVgXpYVpori2k6Ll2lO+dYxLTbWwyLWTISFy6v1E4IPH+Ohm2DgfLWazhLqzVK3l8aRZSwE1t/ZLDgcFiRIM8oSH0xVfPl6QJQprPWWmWbQO5z3jMuXRLI7x3i0Tvj5Z0cv0ugEtMFmt2O31nhpxuKE+7k8qellsCjIujpHb72d01sW2fSVfSZHyOjLEd9mm/zbwumLK/xj4OyGEfwz4NfBvvP4hfVjY3FxfHS+5P6lozPcr221+34cYfH3ghe+zycyvDnOuj0tu75b0M82k6kilZF4bEiVItWBYJpyup5y74JFC8Olen2ERx8hVrWWUa4IDhOTmuOTmbol1sNdPKFLF0bxhXEblyuNFx/Vxxq29EuNg1EspsjhM4Mq4pF8otIJxIbg6zvj9azvc3OlRpjGT60zMQAEyFRtGyjQhTyXeS6rWooh2B2Um6ecx2G34dcXaY0TGfxMds1ClIV0XDhXfvqGffVTr7xHEFdGvpEygryFNYJArilSQZQKt4mdLYjdllkrGPc3BMOXaThE9t8cl+6OcZWMgiHNfFOshXXudZIkCHxjlms92S27t9dkdalINhZb0s5Rca3bKnBu7JWWactBPORwVjMuU/UHO/iClMoHaQColoyLWQLyHVWOojaPuYpelkgIXJIkQXB/n/PjqgDyRJFquJ1Ql7A1zfv/aCOMc96f1ulktR4o44u3WTsn1UX5+3/7RJ7sUqaLqYiJx0Z7ixk5JmSpGZYZSMCri/bUJ1IkST533RAla++192OmyxYf4792z6qmvvwvf5xn7UPFaGXkI4T+68OV/Dvyrr3c4HxYuw8fh+2pkL9IwJsCn+z1+emPEl8cLTlcNZaoY91IyHdUpy9ZQJprH84ZhkZApxbTtWHU+OiROa5at5fpORqYlCwI/PhzzzXTJdGWYrDq8D+z1UoZlwuNFg7GO4ON22WkYZJq2i+ZIO72MWzs9Mi1RMg4JGJcpk7qjai11F2kYrWS0RNUC6zoSLdecqiBRijRRtK3FhoD0MM7i+K9VGxuUUgFlmeCJ3YLCC2obuxEtT6gNLWLRsfme/Iwm+nhbDz6OT6VQkn6RYq1lsooETZnFXYgGjPWM8oQsTdgpUypjoitm7UmliLUO66KhlVh3ZmYa2VmMUwzLlDzVhACf7/Y4WrYoIfHe4QI4PFf7GY8XhnE/Sk9BY30gTzQ+BP7g2oBlYxFr2WiZKfo2ofBR0npzr6A2Holnf5iTKsVk1bHTS/mrOxNSpUi0Yq+fxslWSvBgUnN7N17T3V5GP9PPvcfHZfrcc3nePPecn30fRcq8scyqWDQt1iqv02WDLbPnvvcG77pN/23gMjny/x7wf3rRD4UQfwz8McDt27cv8WPfHS7jBvldNLLPk1PtlBnyIArekvXxaClY1JaDQeQyT6sOJaPjYi+VHC06tBakAk7mHSEIPt0fMu4lGF/ykIrOeBat5fpuzm+PawZ5zDgfThp6eYKWsZFFJZK+1CTrvX67HkLQyxLKVBGARAqGeSx6JkKQp4o8VQyLnKbrOF1FPneYJRgTDcI658hk5DTKPOXmbmxEOVk2XBnm7PZSqsbgguR4VfFo0p031QhiAM7Xkxj8M37qz2bmilh4dW5N3Ugo0kijJAqSTNHPFGSaWWPwbeQU90pNvR63tDKOQZGxaCyNtTTGUXfR+tULweE4I0FQG8usNuSp5qCfI4UgBEAEPtnpkSYK7x2nlcU6x+NZy8mqZVV7Ci1pfSD4SE3E6T8BJQTGOnItmNWGcZlya7dkpzQ8mK4IIfCL+zN+//qQ3zsYMamitWUi44QeF+CT/R6jIsH6wNG8ZVxqDob5G/NC+T6KlKqL8sXN/Z1ogXGSqvvuqsf70Kb/pvHSQC6E+H8CV5/zo38zhPB/Xb/m3yQmQv/ui94nhPAnwJ8A/OxnP/sYFGavfYM0xjGpWh5N/blRUZ6o36mFONPxBr9zsoIARRZ90rUU9DJNaxyrxjIuNffOOkZFHG6Rp4plbjhde6JeG2fUxiGF4J//8SHOB748WhKI3XuddRAkPgjGeRL9zJEoCRLBqrG0xuFCYKdI6OUpe4OU1njuni6pjac1js44Ouco0FzfyVGy4OQ3xwQPS2NJpMD7QAix2eizgx4CgfEBCSybmLmmWpANCpQI5KkEv2JlDMvax2OSUc6ZixAdHH0M6M82ICkiVZMAyLV3t4T9MqUzgYNhhvOeTEdp3rjMuTqC1sWJ8MM8wwaH8wLvYwly1VgypVHCxs5NoJcktMZhvIh+81LgpWC3F+kSHwSnteFmJvl0f4g+q5hXlqs3c04WDb+dNPQTjewMrZQE4zkYRTOsT/cjlZUpQZoqbu2UaCm5N6kZZJo/vDHmaNGSKcXpsmWnl3GyaFm2hnlt+PygR+diV7FeN/g8nrX8YzdH54H1srnm76NIKRPNzBqM8+fH50NgkHy3d/kPoU3/pYE8hPAvftfPhRD/XeBfAf6FEMJHEaBfFa9zg2xomWGecmobWuN5OK3Z72eINcf4Ktg8WMeLht88XtLLNfO64950BULyz//44Hzn8Ol+j+Nly9GiYVCkHAyHBAK5VnTW8vXximVjGfdSfnSlR20cjyYNxgcezxpujDMQaVwYvMcaS+djs8nNkDOrDXYYuL0bPWCWraFtHYNUI3D83pUh988qHi+iN/WPrw4oM41A0BrP4TCnSDvmVZQ3KhkLoq31aCU5mracVR0uOPZ6KWWmMcYzHiQ0xhNC4Iurfe5PaorEEoDOOqo2Su2CdzgJxoFaa7YvqmO0itl4qmPBtkyjXntURlWQEHC6ark6zNea7FiPcK6h8wEtBF6CR7BqLYmSjEpNr4j1BmMdp0u3HsGn6KWaG7slg1yzqB13zmLAdd7zzZkn1ZpRGceuBR+YNZa///kOzsOk6pBC0JqYlf9Lf+cqf3B1BMCjWc2Dac2sMkyqls5Hm4ajRbsuhnomK48Ukk/34+CRe6cVRSJRGqz3dD6sz4Hk+oUg/iYsYV+1YSc2rElWnf1e3uU/BB3666pW/mXgfwr8cyGE6nIO6cPB69wgF2mZVEsmq45VZ5k1HT+9Pn6lB+PigwWw00v5+mTJuJfxoysjUiX5R48W/OT6aE3/SG7vah7s12RKcnO3d/5enXHsD3Ju7pSEEGcsni47pAyUiSJNBNPKcGVU8MVBzl4vY9EYUiXZWU9FajrHvDPryUfx3DyaVsyqjnTtt967NuSnN4YMyoTjace4l9Bax6NZQ5EKXEhB/P/bO7MYS7L0rv9OxIn9rrlXVmXVVPd0T1ePPR6P28YY4wUZy5oHDA9IPCD8gGTZEggeELKwZIk38ANICHgYCUtGQiAkbLCQDYwtDC8em/F42rP0bL3VXpXrXWOPw8OJezsrO7PyVuVyM6vOT0rlFnnjuycj/nHOd77FJpASRYlvu1TA7Z0RWVromOTKphO4hL5DVUFZKtbbAVWhkFJwa63DMM3YHeUMkxzHLhBKIaySsp6VC4upC8ZGu1ACX9YJVBWB6/Dmeot+XDBMcxxLstyQvL89JvLsOjmmxJWChcDhTi/BdiQd3yKQFoNE4VgW0rLoBJJRVjBOc7JC0Qktbi75NHwPVQmavk0vLlAo0qLEcyW9OOc7DwcsNRxurbfJSlhsFlxphwSuzSDJ+aEbi2R5yftbQ37gWlc3iADW2gFZUXJne4Tn2iyHDtLWf7PQ8OiNMnzX1m6wevNyreuDEvgoXKnjvgVPNkiZt695cr8tPGPt8pchDv2kPvJ/DXjAF+uL6EtKqV86sVWXhJNcIPvdMr5jc6UTTEvfPs9GaVbqXmxXuxGutFhp+SildAJPmk+LGwGstXxub4/IiwppC4pSMc51udL1TsBXbu/w7uZQx7S3fLKi4no34kEvYZAWSFungO+OM378tWXdfR0dT+6PbDYHGUlRsdbWN5znWOyNc6Sl45RbvsSzJUtNQVqWrHdCtgYpK1FInscsL7p4lmRrpJfwkWMxSHJC38USIJWgUoJhUnCl5dOOXG4uNQhcWz9MkoxPLHfYGWd89+GAvK90dybHQqmKHB2C2PCZRmkopXBsG2U5rHV07XhPOriyIqgk3UhvBrd9yTivcG2LoCUZxwW9tETaYFmKvVHOIClxHUGcFRSjihKflcijL21c2+YTSwHtwGUQ5+xlJUVVUpUlTc+hrHREiCOglxbc2R3TjlwWAg8LwTv3dWOSTuBwfzdG2nr1NlkZJnnJ7ihjZ5RzY6lBP8lJs5LQk6y0A+2Csyzee9xHWAJL6KqGAA/2YkqluN72pyK53vmok/28fc0nud9e9DT9k0atfPK0DLmsHHeBHOVTPA2/3f4by5MWd8c6wmRUh1WFnhakcfrkjbYYecRpwSgr2BtnlJVOxgldm/u7Yz7cGmGhm0TblmAryYlcm7TQschZUaFKhVCTDTBbl1et4NXVBg93Y3pJzjfv9hmkOY5jMYhzri+GNH2HrWFKK1D4js3WsMCzM650Q5pBQRjoELY4rShVhScF0hZc7QQ87Ce40qEdScZJzjArWQgltvColGKt6fOthz02BzmjeECp0CsG38Wxtc898vXqQ1HhOrYO9rb0/6npO0SeJKiTXjxHUA4rsrLUTbObLp3I4Wu3dwl9hyXPYqhKellJq27ZNy51mJ+d65VCoFziLGdcwUo74JMrEb1xzt3dhHbo0AkF24OMcVriSB3hk2YVuILQkax3Q+5tjyk7OvRxs6fYGye0QslenRz06kqDOzujJ+qZlJXiStsnyUuWmx7bo4wsr6ioWG+HrHVCXdRq3wN+qeHRS7IjRfIi+JpfdEF+Xkxm5xnyNJ/iafjt9t9YgWOzM8qRlqDh22RFxd44Y63js93XcbahZ08LJr2x3ua9zSHdyCV0bBxp8fbtXeKiIi8rnQiyF7Pa8qFSfPn9bYQSLLd1QaXKhuW2z7ce9Gn6kqKoKJUOeRulOXmhqFC0Q5dBrB8wd7djlpslgeeQFhVlVbHeDRglBY96Y1qhRzfwaHoVfalL9iaFjlqJ6/6olVKkWUU/1WUM4lyx2tZRHw97Y6oKri8ExFnBzihnseHTDgoGiXZfpIXCl4LFpkd/nJMWBcNEx663A4lj2SihuLoQMkwKFho+azYkhWKQ6gfH9210+HB7zKhQ2Lbk1kqTrTilnxREnktS5gxiPWt3bRBCIKXAl5DlFVgWNxZDNvuJrhG+aLE1sLi3F+NYgnYgSUtFb5iCUEjLQkrB/b2UlQWf170WlarIcsWNpQgQVCj+6N0tuoHLxlLItYUAx7YJXcmjQUw3ctkdpVSVoFDwxloDIeqytPX1JwRPdeu9DL7my4oR8jPkOJ/iSf12+2+sUVrwylKD97dGWJb2u7u2y/2dmDfWWzqeOSsZZyVvrrcZpdqVMrHtg60h46yin+Qshg5bo4w7D4bc3h5xcykiK0qkbZMWOs3alw6P+zG+a+sCTA6kRcFenPKdB31Gqe7bGLq641ArdJHCQtr2tD3ZOK9YaU2yCF2WGg6eY/O9RyNGqS4/0I1cOoHDNx70KcqKtNRJQ1UpuL7o0o1cXllucHt7RCUEncijEzp8435Plw2oCqQjqcYZ3cAhzksCz6eqKt2D1LK4sajdWpYQ+v03PR2lE0hWWz6VUOz0M13MrICF0OONK21d/nV7RG+c8niYYimdam8lgFfR8C06oY9C4VkWDd/VBa2SFL/h8Opak4XQZbOX4EvJ1lC7ZcaPBwjLZqHh4gpdvmCl4dP2XZq+ZKnhcW83plMn1tzZifnEUsRay9f/TyXohA674xxQqEqxFPkshB4LkUtRVbRCj/VO8MT1t1jvdZiaJ5cPI+RnyCyt3U4ym9l/Y23V2W03l8Npt6I4K1hsuCw3/enfZEXFKC2esC3JS777aEBVKfbijFJVrLUC0qxge5jyYC9FoVhuenoprrS4BK5kL874/qtdKhT3dmMeD1LGScXDYUJgW/jSYqufMfJsPnOtS16VDJOCTyxFrFiCh72EotSp+qOsQinB919t1z1QHdqBx+2dIWlWEeclCliIAlbbnnaNlPDV27vEeUlVwnLTwbYshIIkLXUGayBwXYkFtGyLhaaHI20cx6asCz050tZ+/7ggzQvyrCKKJElekpcVO+OEwJEUpRboOC2wbYuyqhhneq/BsQSDtGCYZkSuZCHyUAIajkvo6q47CLi5EjFMChq2IHAlK52Ax/2EN680ud9PsGDa67KfFCw3XCxLUFQVSV5SVjqyJPBstkdZXejMInQlSVbq/31estb2ediPWWrqjMqGlPiOTSfUGZn7r79ZI1KMa+NiYoT8DDkPn6Lv2Cw2PCJPPtFhKCsqCsuiHT4ZYzt5kExsq1TFw15Mmuu6LHvjnN1Rzs2lqN7ws2n4LhY6hC3LS77Xi/FciVu7DKQt2BxmSEtwZ3uElLAQ6Ljr3TSnXVdnzKuKGwsNtgYpeVnxoKcbV0euTTOQ2JZFXin6SUEgbWxh8WA3ZpTkWELomOHA5ZMrEUmpeNSLeeNKC8+2aAUO72+N6KcWuztj7fcuFQKFUhULkctmP2G5GUzT1BuuTb+ocB2L9U7A3ihllBQgFKUqWW41edRLdKExy2Kp4eJ7kq1hxiAZ88Zai5uLTdKyYnMQU1W6mYNt6VT8OC3xXJtxntFPYLXp0fBsqkIxGOest4OpC8yWFsvNgNCT9Mc5W2Pd0PtTqw3irCSvU9bLUtGLU5q+Fu9enLGxoDckQ08/eFSlSCpdlmGl4bHU1N3uJ+zv8jNh3hEphpNhhPwMeVaf4vMmW2wPU5abPjujlKJUSFuQA4Mk5+rCk+eaPEgmtu2M9GanAkZZRTd0EQLu7sZMluWd0MV1bYTQ8csKQVVWuHXt61G9ATpIMjxX9y9VCCyh07+TLMeWNv1xjlgQvHm1xZ9+sEual3QCibQt9sYFC5FDkpfYCDYWI957PEAIEELHY3tuRMOz6SU6zb3jOygFgStxpcCxdOTFg70xWamwELh1xIzvSVabPj/5qRVcx+aD7SFFVVEpwTgrePfxkDTXETXStlht+9P31HB1RucwqXg0GFGVgrQsCOWImytNnU6/p9PpG76je1dmBcKyiFyLpu9g2wJX6q5PQigWmi6+tCiKijgrubXW5F4vpkwqPNdmww9xhH4wLzY8bKFXeOudgGZdLyfOCpZbOrErr+t/v7bWpDfOdfs4AbfW22wP0yd84Yddg/OOSDGcDCPkZ8iz+BRPkmyRFrpW9CQefVLreWMxwjqwoTWJu53c3A/3YoqqYq0V0gl1t5ei1CVJfdvCti0Cx8Kxfe7tjrAtm8iziDNd+dCXFt+4t4fj2AzjnE4oibOCwLUZptoVIiyLtabHm+sdXlmO8B2bW+ttNvsJw6xkmGZQ6lolni3IygKn0nVapKVXGNLyKJVuh9cOHHYGKa6rmyw0XIdHAz12SmW6Pkh/jCMkV7s+Sw2fpuvQCmxcx+InP7XCD4w7/I+vP+D+7mNsAaM0Z5RV2Jbi2oLHzlD3s0+LiqyqcF2PzfGYolBIq8JzJJujjI2qIvAkf+HVBVZbAY+HCXFe0h/qlPcKQSD1BuNy00PWqxhXSpZaPpGrxzMpK4ZpSbfhkWQ6iUlIpquHlZbPT99aw3fs6cO+FTikWcGjQUrkaX++bVnYkZgK9fYwJSsVe/FHLdYOu6YuQkSK4fkxQn7GzOpTPMnSdnITTuLRQYu3JZiK9u44Z5zl2ELwqJ+w3PTpRi5r3YAPNodsLHoI4dPwHe7ujhEULEYeSVXxwU5M4NikZYVCseS6LERaYNK8wHMkTc9msxdjCYuF0KEoFQLoBBEtz+atV5Z4bbWJJQT3dsd0Q71RtzvKeLCn2EoTPtxOWO0E/NirS9zdGZN5DoFns9YOeNCP8aVFP8kZJDnCsrjSCbjWjUBAM9Op776UXOnaPO5nOHLSODplZ5zzQzc6bNURPDvDlLKquNoN+Ma9PllV4UtdeGpvXHLrirZ1kEjcvCLNK9aaHjvjnGFc0IksXlttstoKaIcOm4OEK62QW+s6u/I7j/rc2RohbYt26IKqGCQlaVGw3Ir43I2F6WZj5Dm8fXuX1ZaHUnClFeoNXQVKKT6z0Z3Gcx982CvH5rPXu9N9D2dfVvDk2G7o0PDk9CF+2MTgNCNSXvSSsRcRI+QXhJMsbZ92E0586Ele0mgGbA8TpGWxM0p14lDT5+5OzMN+wlpLh/H5UrI10Cneqy2fpifphA7jNEMIC2nZtANJ6DnkRYVtCT6z0aEZuHywPWTdC9gcJMQ7JdISvLrW4rXVJgBbg4T7ezErLZ9KKSLPph9nSNtivRvw/Ve7Oga6E9AOXR31Ii3WOj7fut8nciU3FyMWIpftUUEn0nHyRaVDHZu+w3tbQxqhZBQXxLmu89309UZlXimSvOTObsw4LdhYaJCVSpdI6MWMM13sKi8rfNfh5nKT3WHCtx+NWG26LEY+gcxo+g5X2j57o4z1to9sh4zSnFBJ3fwYwXrXZ7Ud6AxQ22YNHU65GLqs1y3RJtFLnmPrxhtpQVyUBI5L5Nr4ruSV5QbwkTAffNiP0uJjgvve5pCdUYaijqWPXFxpz1RV86jV4ywCfVZp/IanY4T8gnCSpe1xN+HBDNDA1SVAd0cZVzoBb15p8pXbuySpzkj0HV0rOwoknmcjbJ1qbgubkoqFhkMvLvAdu65yCB9ujxhnBTe6IYtNn5tLDXprGQ1Xd54BXQMkKypcKXi4F1MphWNBK/CwLMHraw1avkteVIyzHF9aLEYuwzRHKLi+EOI6Vt1ntOK11YhKQVHqmPXItemNC6RlcX0hZG+cU1WKTqDrlXiOZGNBz4L7cYbvSsZ5gScdijKj6TlAxZVWwCivuNrVtT1cy2KYFQySkqwocKVugtyPc1qhyysr+iF1fy/mUS9GCKE3KcuKcVrSCS16Y72SWG543Fpvf0zUWr6k4UnWux/9vyerqgmHPezLquJeL3lCXAFub49o+Q6O1J15HvZ0TkD+lGpIT1s9zirQZtN0PhghvyCcdGn7tJvwYAZoUekN0XiaAepwc6mBbQk2BymeL7mxLBjFBXujnJWWB0pwtRsgpUXTc9geZqSFoqgjNQLHBgH9tOSTa5M+oz53dkZIoV0ZWVGxOchY7/pIS/Col3J7e8Trqw36acH2MCPOyqlQfPZ6h1FaYFmClq+Ii4qW73BjMeLu7pherEPzMsditeFxv59o10/DIysdkkx3uYk8m27ksdb0uNoNtX/Z1zVetgYpSpUUZUVRlbhS6mJcZQVCEPmS7XHKcssnL2IWI1dXVBS6O9NPfKo7FbJXlhvT2TNo8bu/O+bxIKUdOLy+1prOxJ/n/3/wYZ/kJXd3665P+8RVAJEvEZZACIFTH785SJ9IuX8WZhVos2k6H4yQXxDOMtlivwBMWnbl6BssK3Rjhnbo0g0dFBA4NptDC1/aDNKcYVqQZCWLDZesrs/y6fUmD/ZShFAsNlyKUtH2JJmjeDxI2OiGWELQjTwCaXFnd0xWVKx3fR02N87rErOwM87ZWAwZpzq9fRAXfGq1QSd0p80K7u2OcaZCYrGxEHFnZ8zX7/W5vhjy6Wsdwq0Ru6OMcVZQKsVC6DDKSkZpydV2wKevtrEtC0fAxkJIqRSjtOTD7RGhJ+vIEptcVSxGumRvUUo6noNr2QTLDr00w0I3aVhp+ZTVx6e4T7ggah82MO01iVK6vOKE+ntR1xPPS3Ho//+g2D8eJIButi2EmIrrvd0xa22fR/V+gLQECsUoLY4tMHUUswq02TSdD0bILxBnlWwReZJ37vdIc13CtFKKLK/YWIqmbbm2h+kTTXLbgaOLUrUDtgYJkevQrOPKN3sJr641ibyCLIe7dU/GG4u6Z+N3Hg4YpwUNX/LqcpNO6OI5Nh9ujZCW4HE/0Z1obAvPtnnUj7m2ELLc9ChKxSjL8dwnL82DCUy7o0zHX1uw0vLxHZtu6BK5EiV0I80HuzF5mbCxFvED1zvYlvXELDfJS3xp1yGbOkW/G3n1RqiuJbPe9kkjl36SE7pyWmFQFzgrpi3JJuLdTwr2RjoctOHrrknvbg4RdQy8JeDunhbg5abH5iAFBNe6wUf2HTFrP/iwL4qKawfE3rEFSilsy2Kt7bM31lFMQmjX1PNODGYVaJPGPx+MkL/gTASmGThsDYcUlcKxBDdXGgT1RuhkQ3R/k1xLaGHbHSki36UTOrQCnSJ+YzHCsoTObgzcqc/90V5MVinWOgEbdUW+7WE6ff3b2yMe9hJ8aU/LpzZCh4XaD25buhHvta7OTt3PwQQm17ZBgS0EX/lwZ9oLs1KKTuTx5pUW652QfpITSItKMY3omLpCVppsD1NCz+bDnTEt36HlS9Y7wRN9J+/tjhmmxbQLPEBRKSxLz5z3+4+TrMC2LLZHun3dpD8qAhabFg97OlQQpTvZL0U+COjFOWtt7fZ4mj95/8Pek9q987AXT33kkStZrcvYutLWfvFJJcMTiOmsAm3S+OeDEfIXnIlvc5gWXFuIcGyLvKgoSoUbfBTFsP8GLEKPcZaz4vt4UjfdDfbNkJVSvL85ZLnpsz3Kpj73XlqQF4pPrjSfWOpPznFrvc0ffPNRHa0i6UYO5UCx2NBp9TcWdX30wzIP9ycwOZYFArJSu4WSXBG4FouRx/YoYacOt2z5kleXG0eKyP6okTeutI+MyFhseOzFObujdBqVMs5KFkJnGt458R/nlZpm1+6NM9baAZVS0w4WaV38C3S0yVpLv9HJfsWz+JMjT/Kdh30iz8F3LJK8Ymc44gdvLEzjzU9LTI8TaBNyOF+MkL/gTFwS+wVkstF5UDQOa5I76T6+H10pT/uJHWlNl+8odBr7gaX+5Byd0OUHr3fYHmcopWeUr682eDxIkZZ+QBw309scpFRC4ds2y02P9zdHeFLPxBHoTM005537PW4shUSerDdeny40T3Nr+Y7Nq8sN7jv2NCplve2zXgvZfrfPxDW1fzPZEnWnZT7abEZpIR6mBf04p6ibWUee/Jgv+ihG9cN5lBYkRYUrLbqR/r4TuqfuzjhqjEzI4fwxQv6CM3FJTATEqRtJuLY10ybUUUvqlaY3TUKauASE7rv8BAfPsd4NdWyztKevtxBWOhTwmNmj79hsLHxUFCwtKgLXZnuckua6JdwwyWm4Et+xKEv4sw93uFVXezyJ0PiO/bGolINj7EpBN3J52IvJS70iyQodOSOUrn/TDpxp+YPVps+3HvRwbMm1BV0SYHekZ9SzMMno3V9HZdKc5DwxIYfzx2wlv+AsNjyyQlfSS3NdDTAtCqJ9mX5PYzILm3RRn/iO17shWVHqJhO1SEWOTejJJ3528ByHvd4rK82pSB4nrpP3kxUVVVXRj3M82+bWlRZJXpIVCulY+K6sQw8dvnpndyo02uVjTZNjZmEy43xvc8i93TFJfqBRxz6bPGmxEHkUdaNmS8Cryw3WuyGPBzEfbo+wLP03o7TgWjfi6oKPQndS2qhn2LMweYDsZx4RImldAmI/ji2mG8GGs8fMyF9w9vs224HDOC9ouh5hXYwJtPvkab7No5bUB32mk8SY43yzJ4nO2f9+0kLRDmTdskwQZyXC0mLWrmepfl006zChmWXmOovb4KD/OHRtPlf7qSevsT1MWWkGXO18tKrphLqeutgXivgsM+qLEiFiQg7njxHyl4CPNvWe/PlJfZtPE/izZHLetKi4sRjyuJ+wNdSNH5quZDHy8ORERCs6ofPcQjOr2+BpD6ejXmMvzmiUznML4EWJELkoD5SXGSPkLzGX3bfp1WGFN5Ya3FjSST5/9N1NtvoJoavdJ0VZ8dmN7tRdcZTQHLUZejB+fW+c6ZrfipkjM45KpgldnXT0NLuO4yI0ergoD5SXGbP2eYm57L7N/b7pOCvoxRmr3QDpwLcf9vne5pCbyw3W2sGhfv79ro9JdE7o2lSKqS984jZI8pKHvUTHo1sWtiUO9ZcfxlG+7JYvn2rXZWIi5rPscxhOHzMjf4m5KL7NZ4lBPuzYUVpwdy9GIFgIXa53Ix3+l5U82ItZawfP5frQJWYl37zf0zVopC5JawlYawdYQsy0ejmuOuW8Z9SGy8+p3LFCiH8khFBCiKXTeD3D+bB/RntUlMlRHBfJMStPmw0fPO69xwO+9O4W9/diLAGV0mK72PBYbQeErk3D0xX/hBAEro2qj3kaR61MNocp37zfY5AU3N4e8d7WkO89GhB6tu7zOePq5ajIHzNrNZwWJxZyIcQG8FeB2yc3x3CePK/AzCq+s7B/NnxUaODkfNvjjFbgIC2LR/2ESqnpsZ60GOclcp8gF5Ui9Oxjxfag6yPJS959POTL723zqJcS5yWLkUfDkzQDhw+3xnVT5mffmDSuB8NZcBoz8n8J/GM+lgpiuAw8j8DMIr6zMouffnI+pcCxLRxp4dq6u9Dk2MWGpxseZ2WdIVqRFRUNz5kp6Wm/r/3OzpjNQUK34ZKVBYM4J/BtenHOne0RW4NEdzCacfViMJw1JxJyIcRfA+4ppd6e4dhfFEJ8WQjx5c3NzZOc1jBnTnOTdJaklsn5punt6DIDWVlNj/UdmzfX25RVxSDOESgWI91I+lmSnh72EjxpsdTw6IYueSWwLN0IYzH0UQKEJXjYi1+KeiKn5UIznC3HbnYKIX4fWDvkV78K/BPgZ2c5kVLqC8AXAN566y0ze7/EnOYm6bM0VJjUUgdQle4JOjk2yUtdYyTSBb88aU870D9LTPwkVPBhLyHJSwQJvXEKWFg2LEYer67oJhyTmiYvKqaGyuXh2DtPKfUzSqnvO/gBvAfcBN4WQnwAXAO+IoQ4TPQNLxAn2SQ9yCx++sn5LCFYben0936Ss9jwnmg0XCnohg4rzQD3OSvwTR4a3Xo2v9ENGaUVWVmSF4qNboBAsNzwLk2Y5vNymi40w9ny3OGHSqmvASuT72sxf0sptXUKdhkuMKedAHJcCN7+8+UK1tsBi1c/EumjmhI/T2LTZIUwqeW9OUjZ6Ab4nmSpoZs7d0IXS4iPldp90TBt2y4PJo7c8Fycd/zzrD1JJzyv4HzsodEJeG21OZ2dvkwp6Bclz8BwPKcm5EqpT5zWaxkMz8JpC85hD43TbtRwGTA1VC4PZkZuuPSch+C8jBmYpobK5cEIueHSYwTn7HgZH2CXESPkhhcCIziGlxmza2EwGAyXHDMjNxhOEdNN3jAPjJC/wBhROV9MJqRhXhjXygvKaVYoNMyGyYQ0zAsj5C8oRlTOn8vecclweTFC/oJiROX8maWSo8FwFpgr7AXFiMr5c5rFxAyGZ8Hc1S8oRlTOH9PSzTAvTNTKC4rJdpwPJjHJMA+MkL/AGFExGF4OjGvFYDAYLjlGyA0Gg+GSY4TcYDAYLjlGyA0Gg+GSY4TcYDAYLjlGyA0Gg+GSY8IPDSfCVFg0GOaPmZEbnhtTYdFguBicWMiFEH9fCPFtIcQ3hBC/fhpGGS4HpsKiwXAxOJFrRQjx08DPA59RSqVCiJXTMctwGUiLitB90o3i2IJxZmbkBsN5ctIZ+S8D/0wplQIopR6f3CTDZcFUWDQYLgYnveNeB/6yEOKPhRD/Rwjxw6dhlOFyYCosGgwXg2NdK0KI3wfWDvnVr9Z/3wV+FPhh4D8LIV5RSqmDBwshfhH4RYDr16+fxGbDBcFUWDQYLgbHCrlS6meO+p0Q4peB36qF+0+EEBWwBGwe8jpfAL4A8NZbb31M6A2XE1Nh0WCYPyd1rfxX4K8ACCFeB1xg64SvaTAYDIZn4KQJQb8B/IYQ4utABvzCYW4Vg8FgMJwdJxJypVQG/O1TssVgMBgMz4GJEzMYDIZLjhFyg8FguOSIebi0hRCbwIfHHLbExdw4vYh2GZtm5yLadRFtgotp10W0Cc7PrhtKqeWDP5yLkM+CEOLLSqm35m3HQS6iXcam2bmIdl1Em+Bi2nURbYL522VcKwaDwXDJMUJuMBgMl5yLLORfmLcBR3AR7TI2zc5FtOsi2gQX066LaBPM2a4L6yM3GAwGw2xc5Bm5wWAwGGbACLnBYDBcci6MkAsh/mbdLq4SQhwZxiOE+Lm6tdz3hBC/csY2LQghviiE+G79uXvEcR8IIb4mhPiqEOLLZ2jPU9+70Pyr+vd/LoT43FnZ8gw2/ZQQolePzVeFEL92Djb9hhDicV0D6LDfn/s4zWjXPMZqQwjxv4UQ79T33z845JhzHa8ZbZrHWPlCiD8RQrxd2/VPDzlmLtcWSqkL8QHcAj4F/CHw1hHH2MC7wCvoSotvA2+eoU2/DvxK/fWvAP/8iOM+AJbOeHyOfe/A54HfAwS6RvwfXwCbfgr47+d8Lf0E8Dng60f8/lzH6RnsmsdYXQE+V3/dBL5zAa6rWWyax1gJoFF/7QB/DPzoRbi2LsyMXCn1jlLq28cc9iPA95RS7yldsOs/oXuGnhU/D/xm/fVvAn/9DM91HLO8958H/r3SfAnoCCGuzNmmc0cp9X+Bnaccct7jNKtd545S6oFS6iv11wPgHeDqgcPOdbxmtOncqd//sP7WqT8ORovM5dq6MEI+I1eBO/u+v8vZ/oNXlVIPQF9cwFHNpRXwv4QQf1p3QjoLZnnv5z0+s57vL9bL0d8TQnz6DO2ZlfMep2dhbmMlhPgE8IPomeZ+5jZeT7EJ5jBWQghbCPFV4DHwRaXUhRirk9YjfybEU9rGKaX+2ywvccjPThQ/+TSbnuFl/pJS6r4QYgX4ohDiW/Xs6zSZ5b2f+vgcwyzn+wq6PsRQCPF5dDOS187Qplk473GalbmNlRCiAfwX4B8qpfoHf33In5z5eB1j01zGSilVAp8VQnSA3xZCfJ9Sav+ex1zG6lyFXD2lbdyM3AU29n1/Dbh/khd8mk1CiEdCiCtKqQf18ujxEa9xv/78WAjx22iXw2kL+Szv/dTH56Q27b8BlVK/K4T4t0KIJaXUPAsfnfc4zcS8xkoI4aAF8z8opX7rkEPOfbyOs2ne15VSak8I8YfAzwH7hXwu19Zlc638P+A1IcRNIYQL/C3gd87wfL8D/EL99S8AH1s1CCEiIURz8jXwszz5jz0tZnnvvwP8nXrn/EeB3sQ1dEYca5MQYk0IIeqvfwR9zW2foU2zcN7jNBPzGKv6fP8OeEcp9S+OOOxcx2sWm+Y0Vsv1TBwhRAD8DPCtA4fN59o6jx3VWT6Av4F+mqXAI+B/1j9fB35333GfR+9iv4t2yZylTYvAHwDfrT8vHLQJHbHxdv3xjbO06bD3DvwS8Evqo131f1P//mscEf1zzjb9vXpc3ga+BPzYOdj0H4EHQF5fU3933uM0o13zGKsfRy/9/xz4av3x+XmO14w2zWOsPgP8WW3X14FfO+R6n8u1ZVL0DQaD4ZJz2VwrBoPBYDiAEXKDwWC45BghNxgMhkuOEXKDwWC45BghNxgMhkuOEXKDwWC45BghNxgMhkvO/wcUmArw8Whm9AAAAABJRU5ErkJggg==", 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Create sample data, add some noise\n", "x = np.random.uniform(1, 100, 1000)\n", "y = np.log(x) + np.random.normal(0, .3, 1000)\n", "\n", "plt.scatter(x, y)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Graphes en coordonnées polaires" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On utilise la commande polar :\n" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "theta=np.linspace(0,2*np.pi,500)\n", "r=np.cos(3*theta)\n", "plt.polar(theta,r)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figures et subplots" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "L’affichage\n", "avec **plt.show()** ouvrira une fenêtre pour chaque figure créée. Plus intéressant, on peut dans une même figure, créer\n", "plusieurs graphiques. On utilise pour cela la commande **subplot** sous la forme subplot(p,q,n) où (p,q) représente la\n", "taille du tableau des sous-graphiques et n la position dans ce tableau : si p = 2 et q = 3, alors on crée une grille de 6\n", "graphiques (2 lignes et 3 colonnes) numérotés de 1 à 6.\n" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x=np.linspace(0,np.pi,31)\n", "plt.suptitle(\"Différents graphes\") # le titre général\n", "\n", "plt.subplot(2,2,1) # une grille 2x2 - premier graphique\n", "plt.axis((0,np.pi,0,1))\n", "y=np.sin(x)\n", "plt.title('sinus')\n", "plt.xticks([0,1,2,3])\n", "plt.plot(x,y,\"b-\")\n", "\n", "plt.subplot(2,2,2) # second graphique\n", "plt.axis((0,np.pi,0,1))\n", "plt.title('sinus points')\n", "plt.plot(x,y,\"go\")\n", "\n", "plt.subplot(2,2,3) # troisième graphique\n", "y=np.cos(x)\n", "plt.axis((0,np.pi,-1,1))\n", "plt.title('cosinus')\n", "plt.plot(x,y,\"b-\")\n", "\n", "plt.subplot(2,2,4) # et le dernier\n", "plt.axis((0,np.pi,-1,1))\n", "plt.title('cosinus points')\n", "plt.plot(x,y,\"go\")\n", "\n", "plt.show() # on affiche le tout" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On peut également utiliser la syntaxe suivante :" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from numpy.random import randn\n", "\n", "fig = plt.figure(figsize=(15,10))\n", "ax1 = fig.add_subplot(2,2,1)\n", "ax2 = fig.add_subplot(2,2,2)\n", "ax3 = fig.add_subplot(2,2,3)\n", "\n", "# On peut compléter les instances de sous graphiques par leur contenu.\n", "# Au passage, quelques autres exemples de graphes\n", "ax1.hist(randn(100),bins=20,color='k',alpha=0.3)\n", "ax2.scatter(np.arange(30),np.arange(30)+3*randn(30))\n", "ax3.plot(randn(50).cumsum(),'k--')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Faire attention :** Si aucune instance d'axes n'est précisée, la méthode plot est appliquée à la dernière instance créée." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from numpy.random import randn\n", "\n", "fig = plt.figure(figsize=(10,8))\n", "ax1 = fig.add_subplot(2,2,1)\n", "ax2 = fig.add_subplot(2,2,2)\n", "ax3 = fig.add_subplot(2,2,3)\n", "plt.plot(randn(50).cumsum(),'k--')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Affichage d’une matrice" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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a9rPitsp2pXtypyJwTulfxN6f52nkMj4fLynqXMTKcp2LHTezhgMex2AN1lDWkvGe9viX6hkWKIQSCIKJM8yGpF02HS1fW2HDWvyqoBa4Q7Bir1HxnKYIyjJPsFA+58kxWKMEzsvlx46W0dLaldbrWDN7vM4qd+wB5yz3xexY1tEUQK1jsI9D0OPUlqyz9oGX7XvUAXcaStOITpURSiAIJs54fAI1+ea75BgU5tk8CYk9O5P32Xeg6wIiSwl4Vr1aH7PWnjVk1iJ4JeO8NXTPL8rx/iXKsRzv8+usKULuE5Dky7x9AJZq6JJWyQoW0hRBWb9FEYQSCIKJM75goZpdiSy1kI+brG7x2ppAqAkbblMEnrrSddaGpB4lYEWUej5mbiA9431rmJ7LiHv3Syt/KSu7mJVL13FFUL7WFhsBugKwTKMV7sunRCS/Fv9yamYJpHb4OUnurSCWEgdBoBMPgSCYOMNmFvLUsfIJ1EwjllmDzp5fxEcO5euaxYiePACW85A7I6VgIc03avm0dhvnMlYCH08WIi3Gp1T6e3NDXPJLUv9Sdtxf1OHDAGnswccn0jxpzfZjGe03WJ7jX9IiTK3WthVQpBBKIAgmzvKVgOYA6aIOLLVgeNC4Q7DrnqVaikJrLxPrnlq4cE0ob4n1hNem+6xl+3zWrbTy3ChLBnybdZcqvag5rit1pZtZU4TW7ipg5yw0helx+lm5CrtMGUr94u1WtB1KIAgmzrBThJ4MQ5LJs+poU4PFvXiRtBhHmz60/AabSrnUjqUsuBvDSpcgoRk2z74D1rQfX8tTxvhwBZDPrUrTf9nyrzfHFxV11lnd/F5qxwoW4n+QlMaoTQFIH7KVu5L/LvlecW1tz4NYQBQEQS3DKIGaICHJDFoBG4r3Ngn5A7W9S8s6/FxNaLGnrpQo2QoNrjEgVi4/rgQ8Hn8evyMZ5y0jnRteLyrl13zcL9XJR8knoAUJlUuS23YXsrBmnfg5aQxefvG8nSGI2YEgCCziIRAEE2eYfAIW0rRfW90SJfuQJKk9/kU+dJB2POPnJIeeR+prs5qej0KS+laWn6ygeQIeKdafOwL3s2P5ej0XvIgdy5OXN8cD/KKizHIMeqYI25KISlgZqzSHYDkc2GRlq6y8FuuLrx0XxtqBIAg0xjdF6KlvBQvxume3V/GkJdBmGCVHHj8n+Yc8Vr6L/8hK7c2dfeUuXXz6T1rQp0Xw5mNp5PNrspx+B1hlSwnsZ3Wl+UjuGPTkD7TwTP9xBSB98NwxWEu+V/7CJCVRk5sw8gkEQWAxvsxCmZoBsTXgP7O9Gc0XYM1GWmN4zTdgWfm+s0aenbv5URrv82NpcDXLz409AOy9iBUeYMfy9cHmyH0D5fX5yBcblZ3UsgcBPiWgTTVLTh0taqxcAdZnQZIVxCTtBW8tHKoklEAQTJzxKIGMJ4urJ6TY0aw2S2DdsusYvmbhT8azAEhKp6/t0lXG0mip/MqYHO6g5zMA+8sOcqt+OTtKZZJaWGdHHiIM6LMCVEqBXexocbo5NmZ9D1trDmy3/J5tyy34uN/CUsX5XI/8iG4lQESrRPQgEd3bvD9ARF8lokea42XduxEEwVDUDAfeC+Ch4v3tAI6nlK4DcLx5HwTBDsM1HCCiqwH8FoC/APDHTfHNAG5sXt8J4D4At7nuWqOju+7sKqwZ4E1aU4Q1jjzPjKUHyf9TlktlktMvK0xN8gPbV/1JIfrrrCw7BLcUvuT0s6T+QVaW368XdXiwEF95CABr2XbtY8fy5+wZDrBhQH5Pzfu1wuu30owHVtklJZokt6awpfeah1nKFDsHB6FXCXwMwAdx/u/zUErpBAA0xyulC4noKBE9QEQPPCV9cEEQDEqrEiCitwJ4MqX0NSK6sfYGKaVjAI4BwMbllGqvd+F4+nW1zvOM3ATsDTyk2SIOv16KmOUhwFK+Py0QaL2ok8u4kV/dxwrKSrzyQaEOVwRlO7kDWXbsW2EngO0KQPoUtJ/2aeG1IyH8rmdnx9Vy4zgFy+OcX/O05NYPQZKI2pS6pEZafqie4cAbALyNiN6C2ae8n4g+A+AJIjqcUjpBRIcBPOloKwiCkdH6EEgp3QHgDgBolMCfpJRuIaK/BHAEwIeb493Vd/dMB0r1rcG3sXDIatpbZ15BPhkrRsTaWISHBEvTf1a+P00BrBd1eFTvVo4AKciHl3FrX5Z5lMBa7v0VQs+yAuBRQ5JPIHOaHcvXPAf0s6y8aC8vxNnjUATSVDb/7UqruzzRbFwdrAh1yroLWkD0YQBvJqJHALy5eR8EwQ6jKlgopXQfZrMASCn9D4Cbqu/Y1du/AHhXarbmss5J430tq6/24C7PWYuDPEuApfT+mhKQZgfycdu43woJ5u+l6yRFsSu/uYIdy+VKmi/A83MurXtWAtzy72LlApIi4FZe+pK1qaTyx2dtN87hCiCyDQdBUEs8BIJg4oxn7UDfSJs5UPtEbNvUVpLxVrYfrgKlfTK0lYFlIJA2DLDWBUg5AvK5Vb7+X1oXoEl8a+1AHipQGWLyYlYpDwf2FXW0ICFrsJY/VWkf6PwpZvnvaS8HFhWOxrUmoMhKMaXlIyh/fPwHJGUx0gKJpGFF5BMIgsBiPEpgAKwnoObkk5x93LpLD/dsufNDXVo8pkWCSrkCrEAgbWrQCgnO70vDvS1teD5KCQU0BSA5D/NxSwFcXVQ61Bz51GB5My0cyiJb/XIydQ87Z/13yCY3W/58baFQ1p5uqjbfJP/SpTLrh8UDgKSpRo+1bzH1oQSCYOJMUgn0WHp9HloIMJ/GA849+K1twjVfgKUEpIxA3PJ7fAKScd9WWGPlLZ/ALq4ArioqaVODZc9qpgZ5kFDpE8g+AP6LOI3t8Hak4KOmPzm0OP8ApF1oNCdR2R1e10NZN6YIgyDwMB4lwMc2fTO2Nu15nnKe4B7rga1t6SUNBfnD2RPbYW0SKmUE8gQLrbOy/P68DURzIY8flozzunIspxvWckN5BuAQew+cUwBZNuSGytkBjxLQLHYZANS2yEiw8ttmFIRQ5fwl8X0IAF0+WlNJvLysz9XCApcSB0FwgRIPgSCYOOMZDtSgRekA6mPNUmTSpdq0X+nsy8KQZ7fmAT2Ani1IGjJY/WzbKRjQHYKeYCGXxM/HUuprQ4Z95SeWpT4fBlxR1Mnn+M3K4UCe5rOyB3FJf1Ko+yyrk+HTgcD2YcBJ9r54TTn3QPOtSzK+Jj259GPh5zyLUBRCCQTBxFm+EliBz3khPf20R5bxNKV8jRBMUbPqTwoAalsZWNpALZbDMgTSVCMPk5HyB7ZtHyaVkbWBqJZ0YP1cVT0xQen045afOwHLC/O5/NdIjkGPErACgXKdfew9t/rl63x8TmiX9WeV5SUsX/Mv3qrT10neQiiBIJg4w/oEOgQ2tCKZbNjDMml4xuvwcX9Zxo/5T5GCWfk9rWhPybeQX2vWXiqTthLf2tNjhRVYDdVIi135buV4ny8K4tOA5bktpwI7Ar4gIU8oMPcbWAqDl6221+EZikuU36lJ2c4c1UEogSCYOOOfHZAeU1owRQkbV60WJrct3Ld8ncfj2RdcWmUeFJTfW7uk8XtbTl3uawD0WQFr527LcJv5/fk5a23yflZHnEJYZ8d97H3Za64AJCWQyT/j00IZ21PgvDoXsTr5Gj7uL89pR6k/Atpvdl7mWFpuvMAcg0EQXACMXwmUaN5SK2XvyvZiTQFI433uE5DG5/mY7UrN5IeFdE9tVkDaU0DbfhwA9q6wylJDmqSwtjTalV+sN0cpGcgljjra3gL8dUn5c9asuzT3r1n18lvS/qsYGY7ntVJN+t3PceYglEAQTJx4CATBxBlmOCB5xWrSLPNrrCkYoTlt3f9JoY7m/JPKLIcg74enTu6DJIQtx6Cm2ss66ljBSlbIby4qdMuhp0l8KduPdgR0+S45Bq2fuFbH899iZ42kLUIJBMHEGf/jTJvyAGSniBIBRMXjbuXs+c1ImX+1QCCpDncIWtN+NUogK4zyntxgS/48TS2UdVSZYBllvuuXqQSkbVG03ICWlbcCdyy6WPcapClHxrwC4Dxbm7fVNbYCDiUQBBNnWCUgWXkPWrSPVCbM//EVntbiIG6VS/HR5guwksV4Aonye2sZi7TvAFcLuQ5JcsFK3MvLtDlRACC+ReoirbwHbqE9eQN5ea0pN1RBGwNuzxdKIAgmznKVAGFm5qynHs81KOVaz0jhw46Y4D6e/3J87vEFaN3KSBMkPFzYMzvgGcq7rLw0hNccI+f9Mcu08hxr23ErO7CnTo/2pC3FeVmNAljQ7lyhBIJg4sRDIAgmzjCOQSk9ck3KZD5FaCUCEJyHq805PlVoTRFa2YI8ik7aPl7DMxyw3G98tm+1piFpmaQ2DBCHAzXUSPRy05C2VOHednguQb7iUNq8lDsNrXuyquVr/ju36nQdBsTmI0EQeBjPFCE3lVL4sKYApNVV3Jxubq+TpwqlfSO501DaIqztQW39eRbc8Fo5BiUlsM3we5ZASjfTvJlVq+P6OuukfH/aVJy0QlA7SmWaIpDOWXWaY/7NWc7tvla+i4OREUogCCaOSwkQ0TqATwJ4NWYBiL8P4GEAnwNwLYBHAbwjpfTTzj3hU4OeupJ55QpC2jCgMe98vC9Z+VxWM/7n3QTkHak4vMtWPgFLCeTXW3+ypQQ86ZRrcuRvIVn5vESLW9Ny6Va5TZjUHqAvHLKUQG5XupdWp0Y1FGWnm1+JNUXIz1l1an58HRSBVwl8HMCXUkqvAPAaAA8BuB3A8ZTSdQCON++DINhhtCoBItoP4NcA/B4ApJQ2AWwS0c0Abmyq3QngPgC3td6xdt+B8snGn56ezQCkgKLGClKeHWDKoLwFDxbyOHqtnIU1S4i7KoEtI2+tfuI3qRkYit+fx8OujatL6y9l8eXvuyiBnC/wWaEOVwRSv7hqMXwMVkBQLjvFzkl1LP+B9IPUaFEHnq/+ZQCeAvBpInqQiD5JRJcAOJRSOgEAzfFKq5EgCMaJ5yGwC8BrAXwipXQ9Zo9Ut/QnoqNE9AARPfDUC+31gyBYLh7H4OMAHk8p3d+8vwuzh8ATRHQ4pXSCiA4DeFK6OKV0DMAxANi4gmarmiUHE3foSVOEXC9LwUI854C10rBpjzsIy9f8XM2MjjRKsa7XZjet4YDl89s27SdlUtVuLsE/hHLaddswQHKuZXnNJzolqZ9vIk0RakjDgdyPZ9lRKuNDBqnvxpRjaj6Q/Lnk32f5OWmBQH2DhWpyDjBalUBK6ccAfkBEL2+KbgLwbQD3ADjSlB0BcLfvlkEQjAlvsNAfAfgsEa0B+B6Ad2H2APk8Ed0K4DEAb+/VE23az2M6pfBjfjSifLKDcK2IFuoSEsy7JcUweR7O2XBb+QQsn9/W1KC1h5rH8mc8U1Z5WmwXt65lpoNcxvWM9DPMGYqkaUQNzxShpAS4ApDqcmUjqIVTyrH8nHj0meQ85D86yyvN63YIPnI9BFJKXwewIZy6qf6WQRCMifHlGORTg9J4X5sqlK7jc3zlOeYbEGYRXUO3lmbFLltYPgEtyreMhcoLpLZJCo8b2DM25ZaufL2LW8oy2zBXAp4txS2/Ab/GCvOVxvnPsHNPs/flNmRcHTTtpGLAz30Bku9EU1OWlfeEBlvnIsdgEAQWw2QWstBmCcoyPksgBVpYC5EUM09FOzyAqMs6DUsJWBmJPUrAmh3YFgBU4/kvyZ3mlj9bNimqdq81rs6zAtZ+AbkhvjeB56dq+QT4LIHUx3zkCsGoW34Gmk+gVEyb7MhVQ/nako01AUUthBIIgokTD4EgmDjjdQxaKwT5MEDK1mmtIjzLyoQpr9WmzbWz206pcNVddiurPikwSbtemt3UhgHnKX2P/Nce/1YMuzYsAM7J4p83Dex9uimQUo5nLIdelu/aEKIsk9rhwUbSeoC2YKGn9bqbzd9ZSv18Cy75pSlC/tst26lZaQjhXCWhBIJg4oxPCWSsTUbzU1Ba585zg0tqQUskIDhnthyEFR7B3B0hmZGYu0C7ns/0la+3KYHKtOvbkD6nNodgGb/DDe7u52fHXU8bN81IDj1PQJHVjrZiUQoF9gQLPd00y0KDPY5BKWyY17EcgzXBQpKSm8MqwiAILmCWrwSqstNAHu/z8Y81RShZeU0tSKHF+ZQjajU/UU+x9+UtaqYIJaGjJvy1Mi5Lj3qtQ+XYlJedZO9LK5iH7s+zPlz6v+fqEO8EH/+XjXIF4NnExKMEpHtpCqBQAlkB8OYknwA/JwVVZXVghQ178gh2WdnGCCUQBBNnvD6BjBUSzH0D0jlrEG6dY0/dbMQ8ikBaQMRjljw+Ac9+CFvnpM+gBsmitPkESiXAJYqkQi5pVAFZewHw0GJpdqBGCZxk763lwez96WIwrwkKyycgqQVtdsATNuwJBIpgoSAIaomHQBBMnPFsPqIhrR2QzmW0FYaS44VrcmkakVH6tnL+gbyJSY1jkJfz+oA8HOCxTySNL2pShFs5AtqGAeUiO9dWZQ2X/Gx2JEmiaylUPcFCJdqQw0gjnhqvpuT45NLeas5aO8BXFlrOwxqHYKwiDIKgK8MogZo0O5Il0RyEgL7CUFIUvI7lrbO62Dy5c4ixxzHoalfo1ra4HytrkKUItFwBZWCLZq22AoKKunxqUIJbrT3NRWuWEqiZIizRlIAQmJSzIllTe5oSsKb/pGAhLdW4J4+DZO1rcg4ohBIIgomz/HwCK5CfVjX+gS6+gTWhzpzZ8g1kX0FxrmYIx/88aY9QssbeNVOEvEOS74Rbfmnz0lzHY1Zyu9lC7iluutaogxx2vOX06KkEkrDghwdD5f6cZO/LOpYS0K6X1AK/pxXua6kFC2cAUSiBIJg445kd6Oof0Mr56htpNY/1pO2iHJp28gzCatHeCvMXZKzw4a1ri9dbCoDPClgLiDxIPgHNyy0FytQoAM1DDmxXGVsfXNGx8rWGZxEO98JbC39qAoG6eP6lPIRWgssaX0DL/61QAkEwceIhEAQTZ5jhgLVFbxcJa00jSu16plGyPPP0R4sSKmQg8eHAGfbeoqykbSjSdXWmJSvzZ5DvZSUa5UMQybxwWZtnAc3hAGtXa1vD8/dxSS5tGqJJfMkx6AkWsgKCPLkCNGqdhwglEASTZzyrCGsCiPg1ElZ8rlbXs7TPc06yzvzp3iVqqLzOCgiyNmPlWI4zXpYtv9SuJ2ehllevTEOYv4N8L64ISrp8/5ZjUFMEZZ0aKy9lDdKckdbnLv2fsL63SkIJBMHEGSazkBT0Y43hu96nxBqjStOIXBVssrolWuZXa2/yrkpAUwDSFGHNPTw+AZ48sfyMeJ4FT6iyNBXHkyjmdrvmS/BkodKsspQBWPMjlGVWOzU+AY9K42iBc7GAKAgCjfH4BDIe34BnLGjVyU9hrgBKKy9ZO61fvEwap2uphTweX+lRbXnPPSpIQ7I2fNMEaamtp709rIxbfeleNf4HC0/G3i6BRdLnxdWCxw9R0y8Ida3Q+RZCCQTBxBnPUmItdsATA9BWv+16ySfAy6yZA/4olf4WLZS3a7g0b09ab1zzWVi57rj1sxYt1YQPW5ZSy1nI7+vFs8jMY521HIHS9Z7FQV1DgrXfTSwlDoKglngIBMHEGe8qQmnI0HfaULtXRnIMWsMCTeLXDHdqH8PaFKEVUNRleFC+1oYD0rSkp22tXeDc58vDti3HYG2uSt6fmik5KzHEvNvheJzS3usKQgkEwcRxKQEiej+AP8As5OAbAN4F4GIAnwNwLYBHAbwjpfRTuyGcHywkwS2mJ+dArUKQHIFtdfJ7ybrzKUdPsBBvoxZtzzKtrA3L+aRZr9KCd1Fp0tQsn+KtWUBkBShJtKWA9kzbeRx6XcN+PdfzulYdhdafCRFdBeA9ADZSSq/G7KN+J4DbARxPKV0H4HjzPgiCHYbXJ7ALwF4iOoWZAvgRgDsA3NicvxPAfQBu69wTLazWs9xYquOxgh7rJSkADb44yAoWqumDhNWOphJqx858M1eufMr2SlWgwS2bFDDlUQJQyqyNVyX4d1oTYtxFOUlt10wD9ggIsmj9r5JS+iGAjwB4DMAJAM+klL4C4FBK6URT5wSAK/t3JwiCZdOqBIjoMgA3A3gpgKcB/AMR3eK9AREdBXAUAK65tCmsWTZsLfypWUo6r5mFEm6lLBVTEyxUEzJtjf9rrKgE/5y1HIFd4eHD0j2tsGhpq6c2uioDbZGY5dWvUQ3efmj9seq24Pn43gTg+ymlp1JKpwB8AcDrATxBRIcBoDk+KV2cUjqWUtpIKW0c3FvfwSAIFovnIfAYgBuI6GIiIgA3AXgIwD0AjjR1jgC4ezFdDIJgkbQOB1JK9xPRXQD+HbOdHB4EcAzAPgCfJ6JbMXtQvL367pLjrGYVoWdYkPE4GGtToLchTWtxSV2bMYe3Z93LmkbU2rHgfbYcn552pWETdxYK+Ro7TYF60CS/VMcz7edpx6rjmQa0ri/PGfkEXLMDKaUPAfgQKz6JmSoIgmAHM758AhlP6K2lGjxWokZJeJx9NdOb1nRWjRPTUhIe55rVTkZTLdJ3w512FtzhWLZp9b1v6LXGvKxzlzqeoCaJOSjWCBsOgokzHiWgWXVr3GlZTmvMvWi6qhhNAUhPe0steAJtumxVlpE+97YQXKsdC89U3Lynf2usctfxfs31nnZ61A8lEAQTZ/lKYAW+zEA1gURle1owjvW46zIWL+trnn+prmcBUZfMyx7fgAerbl9fjJWdKcN9ApLfgN/D+j3VLHH29Mtzba3lb+tDjQJYULBQEAQXMPEQCIKJM74NSTOW48yS1JqUlpx0XbDuxetIzixPvoR5Obqs6cguKww9WEOZLtNZ0meirWmw1pl0oc8woe1c37Zr6rQQSiAIJs54pghr6BtaXBP8Mq9+eaYIPQrJgydnQR8FUDP92tVSdVFFnunWLn3oW39eVr9PfYNQAkEwcYZVAp7xtTWmrAnKkVh0QJFnPCx9Bp6cA9a9rHto9a1chZr/YA5ZbdxIVt7jC5iXr6PG8i7C8ne9xkEogSCYOOPxCXSdMSjLy3NWQEnN0uN5h6RafoN5ZyTm7VplXe7Rt181SmLey7y70kX99PWLLJhQAkEwceIhEAQTZzzDgUyfYYF1znLAzduJ5MGTc2BecrDGaWjlHOiLZ/WfFggk4fkdDOW8XOa1bbR8BqEEgmDijE8JZBalCKS2PSHKnhWLFvO27jVYj3orzyK/3pPDoAvSCkFLEfA6Uh+GdB56WEb/nCoolEAQTJzxKoHMIgKKeNuLmg7sy7zUQ1cLrpmIeZkOyRfDA4CsOrw/njDyZbJMNdLD9xFKIAgmzviVQMm8AorA6tR46oewKH3Hul0zE9Vcv2isxUFW+LB0vRfrNzMWlrEhaRAEFzbxEAiCibOzhgOZvtOHWp3aDUH4EKFrO4um5lHfNbDIc73GvFYISr+HPmbuApT+EqEEgmDiLFcJEGZP73k9YWsUQUmXacRM12ChMVDbX81EzEsB9MXjrF3UlmXLYEkhzzvpIwmCYAEM4xOYdwitJ6DIc3+PavBkNpau7bIpinSfeVtcz/21e3YJNKqlZvqvJk+ExBAmcZkLnBRCCQTBxBl2dmARCz5qMvZ2mUGQ7pXxbB9WY7WG2FTV06+uCqCLoqihb7bhEVjlIQglEAQTJx4CQTBxxhMstChnYc2woKSv05BTkwLduucQ9F17EIya+OqCYOKMRwlkFjl9mJm30zBj1W1zIkrtWSwj/6DGvMKQF8mQqz53GKEEgmDiUEppeTcjegrAcwB+srSbzocrsLP6vNP6C0SfF80vppQOSieW+hAAACJ6IKW0sdSb9mSn9Xmn9ReIPg9JDAeCYOLEQyAIJs4QD4FjA9yzLzutzzutv0D0eTCW7hMIgmBcxHAgCCZOPASCYOLEQyAIJk48BIJg4sRDIAgmzv8D3bbMD5RAf4cAAAAASUVORK5CYII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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "def f(x,y):\n", " return (2*x-y**2+y)*np.exp(-x**2-y**2)\n", "x=np.linspace(-2,2,100) # discrétisation de [-2,2]\n", "y=np.linspace(-2,2,100) # idem\n", "X,Y = np.meshgrid(x,y) # création de la grille complète\n", "Z=f(X,Y) # on évalue f sur la grille\n", "plt.matshow(Z,cmap='hot') # image avec les valeurs , style de couleurs 'hot'\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Pour aller plus loin" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pour explorer l'ensemble des catégories de graphiques possibles : [Gallery](http://matplotlib.org/gallery.html). Les plus utiles pour l'analyse de données : [scatter](http://matplotlib.org/examples/lines_bars_and_markers/scatter_with_legend.html), [scatterhist](http://matplotlib.org/examples/axes_grid/scatter_hist.html), [barchart](http://matplotlib.org/examples/pylab_examples/barchart_demo.html), [stackplot](http://matplotlib.org/examples/pylab_examples/stackplot_demo.html), [histogram](http://matplotlib.org/examples/statistics/histogram_demo_features.html), [cumulative distribution function](http://matplotlib.org/examples/statistics/histogram_demo_cumulative.html), [boxplot](http://matplotlib.org/examples/statistics/boxplot_vs_violin_demo.html), , [radarchart](http://matplotlib.org/examples/api/radar_chart.html)." ] } ], "metadata": { "anaconda-cloud": {}, "interpreter": { "hash": "40d3a090f54c6569ab1632332b64b2c03c39dcf918b08424e98f38b5ae0af88f" }, "kernelspec": { "display_name": "Python [Root]", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.8" } }, "nbformat": 4, "nbformat_minor": 0 }