python-pour-finance/04-Visualisation-Matplotlib.../04-01-Matplotlib/(Optionnel - Pas de vidéo)...

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Matplotlib (Avancé)\n",
"\n",
"Dans ce notebook, nous abordons des sujets plus avancés que vous n'utiliserez généralement pas très souvent. Vous pouvez toujours consulter la documentation pour plus de ressources! "
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"x = np.linspace(0, 5, 11)\n",
"y = x ** 2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Échelle logarithmique"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Il est également possible de définir une échelle logarithmique pour un ou les deux axes. Cette fonctionnalité n'est en fait qu'une application d'un système de transformation plus général dans Matplotlib. Les échelles de chacun des axes sont réglées séparément à l'aide des méthodes `set_xscale` et `set_yscale` qui acceptent un paramètre (avec la valeur \"log\" dans ce cas):"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(1, 2, figsize=(10,4))\n",
" \n",
"axes[0].plot(x, x**2, x, np.exp(x))\n",
"axes[0].set_title(\"Normal scale\")\n",
"\n",
"axes[1].plot(x, x**2, x, np.exp(x))\n",
"axes[1].set_yscale(\"log\")\n",
"axes[1].set_title(\"Logarithmic scale (y)\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Emplacement des coches sur l'axes et libellés personnalisés"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Nous pouvons déterminer explicitement où nous voulons le coche des axes avec `set_xticks` et `set_yticks`, qui prennent toutes les deux une liste de valeurs pour l'endroit sur l'axe où les coches doivent être placées. Nous pouvons également utiliser les méthodes `set_xticklabels` et `set_yticklabels` pour fournir une liste d'étiquettes de texte personnalisées pour chaque emplacement de coche:"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(10, 4))\n",
"\n",
"ax.plot(x, x**2, x, x**3, lw=2)\n",
"\n",
"ax.set_xticks([1, 2, 3, 4, 5])\n",
"ax.set_xticklabels([r'$\\alpha$', r'$\\beta$', r'$\\gamma$', r'$\\delta$', r'$\\epsilon$'], fontsize=18)\n",
"\n",
"yticks = [0, 50, 100, 150]\n",
"ax.set_yticks(yticks)\n",
"ax.set_yticklabels([\"$%.1f$\" % y for y in yticks], fontsize=18); # utiliser des étiquettes formatées LaTeX"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Il existe un certain nombre de méthodes plus avancées pour contrôler le placement des tiques majeures et mineures dans les figures matplotlib, comme le placement automatique en fonction de différentes règles. Voir http://matplotlib.org/api/ticker_api.html pour plus de détails."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Notation Scientifique"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Avec de grands nombres sur les axes, il est souvent préférable d'utiliser la notation scientifique:"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1, 1)\n",
" \n",
"ax.plot(x, x**2, x, np.exp(x))\n",
"ax.set_title(\"scientific notation\")\n",
"\n",
"ax.set_yticks([0, 50, 100, 150])\n",
"\n",
"from matplotlib import ticker\n",
"formatter = ticker.ScalarFormatter(useMathText=True)\n",
"formatter.set_scientific(True) \n",
"formatter.set_powerlimits((-1,1)) \n",
"ax.yaxis.set_major_formatter(formatter) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Numéro d'axe et espacement des étiquettes des axes"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# distance entre les axes x et y et les nombres sur les axes\n",
"plt.rcParams['xtick.major.pad'] = 5\n",
"plt.rcParams['ytick.major.pad'] = 5\n",
"\n",
"fig, ax = plt.subplots(1, 1)\n",
" \n",
"ax.plot(x, x**2, x, np.exp(x))\n",
"ax.set_yticks([0, 50, 100, 150])\n",
"\n",
"ax.set_title(\"label and axis spacing\")\n",
"\n",
"# Marge intérieure entre l'étiquette d'axe et les nombres d'axe\n",
"ax.xaxis.labelpad = 5\n",
"ax.yaxis.labelpad = 5\n",
"\n",
"ax.set_xlabel(\"x\")\n",
"ax.set_ylabel(\"y\");"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
"# restaurer les valeurs par défaut\n",
"plt.rcParams['xtick.major.pad'] = 3\n",
"plt.rcParams['ytick.major.pad'] = 3"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Réglage de la position des axes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Malheureusement, lors de la sauvegarde des chiffres, les étiquettes sont parfois découpées et il peut être nécessaire d'ajuster un peu la position des axes. Ceci peut être fait en utilisant `subplots_adjust`:"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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oFH7+Edh4F1zwaXjDR4KuKCMEOZK/wDl3unNutf/8k8BjzrnFwGP+cxHJBs55a+GfvR3e+HHvoieJi1SarrkSuN1/fDvw9gBrEZFkcQ4evgX+dBu87ia48JagK8ooQYW8Ax42sw1mdqN/bI5zbi+Afz871h+a2Y1mtt7M1nd1dSWpXBFJCOfg11/0Go+t+Su4+J+1lV+cBbWE8lzn3B4zmw08YmZbp/uHzrnbgNsAVq9e7RJVoIgkwe++7rUPXvV+7dWaIIGM5J1ze/z7A8BPgTXAfjNrAPDvDwRRm4gkyZO3wm+/DKe9By6/VQGfIEkPeTMrNbPyicfAxcAm4H7gBv9tNwD3Jbs2EUmSP/47PPp5WH41XPkdyEml04OZJYjpmjnAT837f+084C7n3INm9gywzsw+CLQD7wqgNhFJtGe+Bw99Ck59G1z1X9rhKcGSHvLOuR3AaTGOHwLUgUgkkz37P/CLj8FrLoV3fh9y1Vkl0fTvSCKSHBvXeg3HWi7y9mhV2+CkUMiLSOJt+gn87K9h4Rvhmh9CXmHQFWUNhbyIJNaWn8O9H4Kms+HaH0F+cdAVZRWFvIgkzosPwz3vh7lnwHvWQUFp0BVlHYW8iCTG9l/D2utgzjK47l4oqgi6oqykkBeR+Nv5JNz9HqhdDO/7KRRXBV1R1lLIi0h8tT8FP3w3VM+H9/0MSmqCriirKeRFJH46N8CdV0N5PVx/H5TVBV1R1lPIi0h87N0Id14FpbPghge8oJfAKeRF5OTt3wx3vB0KK7yAr2wMuiLxKeRF5OR0vQh3XOld4HTD/VDVHHRFMoVCXkRm7tB2uP2tgHkj+JpFQVckR1F3IBGZmZ5dcPvbIDoO7/+Ft1xSUo5CXkROXF8n3H4FjA16I/jZpwZdkRyDQl5ETkz/Xm+KZqTXWybZsDLoiuRVKORFZPoGu+COt8HgAe9K1sYzg65IjkMhLyLTM9ztraLp7fB60TStCboimQatrhGR4zu03Qv4Q9vg2rthwblBVyTTpJG8iBxbeAz+8C343b9AboG34UfLBUFXJSdAIS8ise36AzzwETj4Arz27XDJV6GiIeiq5AQp5EXkSMPd8Ojn4Nk7oLLZ2+zjNW8JuiqZIYW8iHicg9Z18NA/wUgPvP7v4PxPajenNKeQFxHvxOrPPwov/w4aV8P1P4P6FUFXJXGgkBfJZuFR+P234fF/8RqMXf4NWPUByMkNujKJE4W8SLba+Xtv9H7wBVh2lXdiVT3gM45CXiTbDHfDI5+BP9/ptQV+749h8V8EXZUkiEJeJFs4B61r/ROrvXDuR+BNn4CCkqArkwRSyItkg4Pb4BcfhZcfh3lnwRXfhPrlQVclSaCQF8lk4VH4/bfg8X+FvCK4/N/8E6vqaJJKnHPs6QsxGAqzpL48rp+tkBfJVDuf9K5YPfQSLHsHXPIVnVhNEeORKM/v6WfDrp7J277+EG84pZY7P3R2XL9LIS+SaYa74eHPwHN3QtV8eO+9sPjNQVeV1XqGxni23Qvz9bt6aO3sJTQeBaCxqpg1C2tYvaCasxbUxP27FfIimcI52PgjePjTEOqDN3wUzrtZJ1aTLBp17Dg4ODlCX7+rhx1dQwDk5RjLGit5z5r5rJpfzar51dRXFiW0HoW8SCY4uA1+/hHY+QTMWwNv/SbMWRZ0VVlheCzMxo6+yZH6s+099A6PA1Bdks+q+dVcvWoeq5qrOa2piqL85F5oppAXSWfhUXjyVnjiG5BXDFfcCme+XydWE2hP78jkKP3Z9h427+knEnUALJ5dxiXL6jnTH6Uvqi3FzAKtVyEvkq5efsIbvR/aBsuvhrd8GcrnBF1VRhmPRNmy9/AJ0md39bCnLwRAcX4upzdV8TdvamHV/GrOaK6iqqQg4IpfSSEvkm4G9sGjX4CNd3knVq+7F07RidWT5ZxjX3+I1s4+Wjt72bCrh40dfYyMRwCYW1nEqgU13Nhcxar5NSxtKCc/N/X/jUkhL5IOwmPw4oPw3A/hpUfADN7wD3DeP+rE6gx1DYzStruX1s4+2jr7aN3dR9fAKAC5OcayuRVcs6aJVfOrObO5mrlVxQFXPDMKeZFUtrcVnrsL2tbB8CEoq4fX/y2ceT3Magm6urTRMzRG225vhN7a2Ufb7j72+tMuZt5c+nmL61g5r5IV8yp5bUNF0k+QJopCXiTVDHd7m3c8dyfsa/P2Vl1yKZx+HbRcCLn6x/bV9IfG2eSPzL0Rei8d3SOTry+qLWXNwhpWNFaycl4Vy+ZWUFqYuf+ZZu4vE0knkTBsf8zrDPnCryA6DvUr4dKvw4p3QUn8L5LJBEOjYTbv6ae1s5c2P9R3HByafL2pppiVjVVcd/Z8VsyrZHljJRVF+QFWnHwKeZEgdb3ojdg3roXBfVAyC876EJzxXu3MdJTQeITn9/bT1tnHxs5e2jr72NY1iPNWLzK3sogV8yp556p5rGisZEVjJdWlqbfaJdkU8iLJFuqDTT/xTqJ2PgOWC4sv9oJ98VsgT8HUHxrnhX0DbN3bz6bd/bTu7uPF/QOT69Frywo5bV4ll69sYKU/Qp9dntgrR9OVQl4kGaJR2Pk4/PmHsOUBCI9A3VL4iy/Cyr/M2vXt4UiUnYeG2bqvn617B9i6r58tewfY3Xt4Dr26JJ8V86q4aOlsVsyr5LR5VcypKAz8IqN0oZAXSaSend7qmOfuhr52KKyE06/1TqI2nukt7cgS3UNjbN3bzxZ/hL513wAv7h9gNOw16srNMVrqSlk1v5r3ntPMqfUVLG0op76iSIF+EhTyIvE2NgTP3+eF+84nAINF58ObPwdLL4f89FxvPV1j4SjbuwYnR+cToX7AX4MO3nTLqQ3lXP+6+Sz1w/yU2WUU5mXGssVUopAXiQfnoP0p7yTq5p/B2CBUL4QLb4HTroXKeUFXGHfOOQ4MjLLFH5VPjM63HRgk7M+dF+Tl8Jo5ZZz3mjqW1peztL6CJfXl1JUXBlx99lDIi5yMvk6vve9zd0H3dsgvhWVXeSdRm1+XMdMxg6Nhth8Y5IV9A2yZMn/e43dbBK8v+tL6ci46dTZL6ys4taGcBbNKyUuDS/8zmUJeZLqiUeja4o3YO572bj07vdfmnwtv/Bi89kooLAu0zJmKRr3eLdu7Btl+YJDtXUPe465B9vcfnmopKchlSX05lyxv4NQGf3Q+p5zKkuxaf54uFPIixzI2BJ3rDwd6xzMw2ue9Vjobms/21rQvvRxqFgVb6wkIjUd4+aAf4AcOB/mOrqHJZlwA5UV5tNSV8YZT6miZXUpLXRlL68tpqi4hJycz/g0lGyjkRSb07YaOp6DjT95ofV8buAhgMPtUWH4VNJ3jhXv1wpSeinHOcXBwbDLAp4b57t6RyQuIzLxplpa6Ms5eOGsyzFvqyqgtK9CqlgygkJfsFI3A/k2HA73jaejr8F7LL4HGVd72ec3nwLyzoLgq2HqPYTwSZdeh4VeE+Y6uQfpD4cn3FefnsqiulDObq3nXqqbJMF9YW5oxjbgkNoW8ZIdQP+xeD+1Pe6P1zvXeChiA8gZoOhte92Hvvn4F5KbO/HJoPMLu3hHau4fp8G8vHxxmR9cg7d3DkytZAOZUFNJSV8aVpzfSUldKy2xvVF5fUaQpliylkJfM45w3Kp8I9Pan4cBmcFGwHJi9DE675vDUS2VToFMvzjm6BkZp7x72g/xwoLd3D7N/IDQ5vQJQmJfD/FklLKkv57IVDbTMLmVRbRmL6kopz7LmW3J8CnlJb9Eo9O+G7h1w4PnDUy8De73XC8pg3mo472Yv0BtXQ1FF0sscGg3T0TNM+6FhOnpGJgO8vXuYzp5hQuPRyfeaQX1FEU3VJZx7Si3NNSU0zyqmqbqE5poS6sp1Sb9Mn0JeUl9kHHrboftlL8y7d0CP/7hnJ0TGDr+3sslbzth8DjSt8UbtSei/Hok69vZNnVIZmTIyH+bQ0NgR7y8rzKO5poSWulIuWFJHc00JTf6tsapY8+QSNwp5SQ3jI15gd+94ZZj3dvirXHz5pVCzEOqWeJtpVC/0ljDWLoaKuXEvzTlH99AYe/tC7O8PsbcvxL6+EPv6vfuOnmF294wcMTeem2M0VhXTVFPMxcvm0FTjjcInRuNVJfkajUtSKOQleUL9h0fg3UfdD+w58r1FVV5wN67yNs2oWXQ4zMtmx20OPRyJcmBg9IgAn7zvC7G3f4T9faOMRaJH/F2OwZyKIuZUFLGisZLLVzR40yr+aLyhskhXekpKUMhLfDgHo/0wdBCGuvzplaNG5cMHj/ybsjlecC863wvvmoXerXphXHZCGhmLTI629/WPsK9vlH19I0cE+cHBUaYMwAHvxGZ9ZRH1FUWc2VxNfWURDRVF3rHKYhoqi6gtKyRXq1UkDSjkJTbnvCs+hw/6we2H91CXt6H0xOOJ14YPHjk3DoB5jblqFh6+KnQizKsXzujy/3AkSvfwGN1DYxwaHOPQ0BiHBkfpHhqja2B0SqiH6J3SV2VCeVEeDZXeCHxJvdfGdiK451QU0VBZpKkUySgK+WwyPnI4kCdDe8r98MRjP8TDI7E/J78USmu9W8VcaFgJJbVQWuffZkFlM1Q1Q/6r79YTiTp6hicCe5RDgxMBPuoHuPf84JAX5LGCG7zpk5rSAuori5hXXcLqBdU0VBZPBvfEyDyTN2wWiUX/i08H0ah34c7YIIwOwugAjA14j8cmng9OeT7oTZ2MDXrz4BOhPnHxz9FyC/1w9oO7bql3f3Rwl9Z5xwpKjlnqaDjCQChMz9AYB9uH6B7qOTK8/ceHhrznPcNjR6wBn2AG1SUF1JQWMKu0gKX15cwqLaSmtIDasgJqjnhcQFVJgaZPRGJIuZA3s0uAbwG5wPecc18NuKTpcc5b6hcOQXg09v34sBe+U8P4iLCOFeCDMD50/O8H70KfgnJvGqSgzLsvrPCmRyZCPFZwF5SBGZGoYzAUpj80Tn9onIFQmP6RcQYGwgx0jdMfGmUgtNM7PvF6KMzAyLh3Hxqf3OUnluqSfD+0C1k8u8x7XFbIrNICZvlhXVvmhXe1QlskLlIq5M0sF/gu8BdAJ/CMmd3vnHs+bl/St9u7WOZYQfyK++m8x78nxpD0ePKKoLD8cCgXlHsnJGtaDj8vnBrch987nlfKaG4JISshZMWMuAJCYUcoHCE0HmFkLMLIeORwKA+FGTg0Tv+IF8gDoX30hzoYCIUZCIUZHA0ft9zi/FzKi/KoKM6nvCiPyuJ8mqqLKS/Kp2LK8aqSAmpLC6gp80K9uiRfq01EApBSIQ+sAbY553YAmNmPgCuB+IX87vXw4w/EfMnl5Huhm1cIeYW43CJcXiEut9C/LyZaUEU01zsWzSkkkltINLeAaG4hESskkltAxAq8+5xCwubf5+QTsmKGrYghV8wQxQxECxmJGKHxKKHxCKFwhJGxKKFwhNHhCKE+7/jIuBfaofEoo2HvfmS8n0i074R+en6uTYZxeVE+FcV5LCorOyK0j3j9qOPlRXnkK6hF0kqqhXwj0DHleSdwdjy/4Ddjy/gWtxJy+Qy7PEaieYy4fEaiuURcogMsDAz6t8Nyc4yivByK8nP925GPK4vzKSrIpShv6ms5FPvvKczPnfz74hifMRHWhXk5WjUikmVSLeRjJdARcyBmdiNwI0Bzc/MJf8Hs2XWcdsYacnKMXDNyc2zy8eFjHPm6GXm53n3u1Pfm8MpjUz4zL2fK3+RAQe7h8C3MPxzKGh2LSKKkWsh3Ak1Tns8DjrgU0jl3G3AbwOrVq094EnzZ3Eq+cGXlydQoIpI2Um0I+Qyw2MwWmlkBcA1wf8A1iYikrZQayTvnwmZ2E/AQ3hLKHzjnNgdclohI2kqpkAdwzv0S+GXQdYiIZIJUm64REZE4UsiLiGQwhbyISAZTyIuIZDCFvIhIBjMXq89rmjCzLmDXDP60Fjh43HdlBv3WzKTfmplO5rfOd87VHX0wrUN+psxsvXNuddB1JIN+a2bSb81Mifitmq4REclgCnkRkQyWrSF/W9AFJJF+a2bSb81Mcf+tWTknLyKSLbJ1JC8ikhWyLuTN7BIze8HMtpnZJ4OuJ1HM7AdmdsDMNgVdS6KZWZOZ/cbMtnEhuVoAAAL/SURBVJjZZjP7+6BrShQzKzKzP5nZRv+3fiHomhLJzHLN7M9m9vOga0k0M9tpZm1m9pyZrY/b52bTdI2/UfiLTNkoHLg2rhuFpwgzOw9vn8E7nHPLg64nkcysAWhwzj1rZuXABuDtGfrfqwGlzrlBM8sHngT+3jn3VMClJYSZ/QOwGqhwzl0RdD2JZGY7gdXOubheE5BtI/nJjcKdc2PAxEbhGcc59zjQHXQdyeCc2+uce9Z/PABswdsvOOM4z8Qmwfn+LSNHamY2D7gc+F7QtaSzbAv5WBuFZ2QYZCszWwCcATwdbCWJ409hPAccAB5xzmXqb/0mcDMQDbqQJHHAw2a2wd/LOi6yLeSPu1G4pC8zKwPuBT7inOsPup5Ecc5FnHOn4+2BvMbMMm46zsyuAA445zYEXUsSneucOxO4FPiwP+V60rIt5I+7UbikJ39++l7gh865nwRdTzI453qB3wKXBFxKIpwLvM2fp/4RcKGZ3RlsSYnlnNvj3x8Afoo3vXzSsi3ktVF4BvJPRn4f2OKc+7eg60kkM6szsyr/cTHwZmBrsFXFn3PuU865ec65BXj/nP7aOXddwGUljJmV+osGMLNS4GIgLivjsirknXNhYGKj8C3AukzdKNzM7gb+CCwxs04z+2DQNSXQucD78EZ7z/m3y4IuKkEagN+YWSveoOUR51zGLy/MAnOAJ81sI/An4BfOuQfj8cFZtYRSRCTbZNVIXkQk2yjkRUQymEJeRCSDKeRFRDKYQl5EJIMp5EVEMphCXkQkgynkRWbAzM4ys1a/v3up39s943rISPrTxVAiM2Rm/wwUAcVAp3PuKwGXJPIKCnmRGfL7Hz0DhIDXO+ciAZck8gqarhGZuRqgDCjHG9GLpByN5EVmyMzux2uDuxBv+8GbAi5J5BXygi5AJB2Z2fVA2Dl3l7938B/M7ELn3K+Drk1kKo3kRUQymObkRUQymEJeRCSDKeRFRDKYQl5EJIMp5EVEMphCXkQkgynkRUQymEJeRCSD/X+bqHXg+uecdwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1, 1)\n",
" \n",
"ax.plot(x, x**2, x, np.exp(x))\n",
"ax.set_yticks([0, 50, 100, 150])\n",
"\n",
"ax.set_title(\"title\")\n",
"ax.set_xlabel(\"x\")\n",
"ax.set_ylabel(\"y\")\n",
"\n",
"fig.subplots_adjust(left=0.15, right=.9, bottom=0.1, top=0.9);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Grille des axes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Avec la méthode `grid` dans l'objet axis, on peut activer et désactiver les lignes de grille. Nous pouvons aussi personnaliser l'apparence des lignes de la grille en utilisant les mêmes arguments que pour la fonction `plot`:"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x216 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(1, 2, figsize=(10,3))\n",
"\n",
"# apparence par défaut de la grille\n",
"axes[0].plot(x, x**2, x, x**3, lw=2)\n",
"axes[0].grid(True)\n",
"\n",
"# apparence de grille personnalisée\n",
"axes[1].plot(x, x**2, x, x**3, lw=2)\n",
"axes[1].grid(color='b', alpha=0.5, linestyle='dashed', linewidth=0.5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Les axes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Nous pouvons également modifier les propriétés de l'axe:"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x144 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(6,2))\n",
"\n",
"ax.spines['bottom'].set_color('blue')\n",
"ax.spines['top'].set_color('blue')\n",
"\n",
"ax.spines['right'].set_color('red')\n",
"ax.spines['right'].set_linewidth(2)\n",
"\n",
"# désactiver l'axe gauche\n",
"ax.spines['left'].set_color('None')\n",
"ax.yaxis.tick_right() # traits seulements sur le côté droit"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 2 axes jumelés"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Il est parfois utile d'avoir deux axes x ou y dans une figure, par exemple, pour tracer des courbes avec différentes unités ensemble. Matplotlib supporte ceci avec les fonctions `twinx` et `twiny`:"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax1 = plt.subplots()\n",
"\n",
"ax1.plot(x, x**2, lw=2, color=\"blue\")\n",
"ax1.set_ylabel(r\"area $(m^2)$\", fontsize=18, color=\"blue\")\n",
"for label in ax1.get_yticklabels():\n",
" label.set_color(\"blue\")\n",
" \n",
"ax2 = ax1.twinx()\n",
"ax2.plot(x, x**3, lw=2, color=\"red\")\n",
"ax2.set_ylabel(r\"volume $(m^3)$\", fontsize=18, color=\"red\")\n",
"for label in ax2.get_yticklabels():\n",
" label.set_color(\"red\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Axes où x et y valent 0"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"\n",
"ax.spines['right'].set_color('none')\n",
"ax.spines['top'].set_color('none')\n",
"\n",
"ax.xaxis.set_ticks_position('bottom')\n",
"ax.spines['bottom'].set_position(('data',0)) # régler la position de x sur 0\n",
"\n",
"ax.yaxis.set_ticks_position('left')\n",
"ax.spines['left'].set_position(('data',0)) # régler la position de y sur 0\n",
"\n",
"xx = np.linspace(-0.75, 1., 100)\n",
"ax.plot(xx, xx**3);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Autres styles de tracés 2D"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"En plus de la méthode classique de `plot`, il existe un certain nombre d'autres fonctions pour générer différents types de tracés. Voir la galerie de tracés matplotlib pour une liste complète des types de tracés disponibles: http://matplotlib.org/gallery.html. Certains des plus utiles sont présentés ci-dessous:"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [],
"source": [
"n = np.array([0,1,2,3,4,5])"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x216 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(1, 4, figsize=(12,3))\n",
"\n",
"axes[0].scatter(xx, xx + 0.25*np.random.randn(len(xx)))\n",
"axes[0].set_title(\"scatter\")\n",
"\n",
"axes[1].step(n, n**2, lw=2)\n",
"axes[1].set_title(\"step\")\n",
"\n",
"axes[2].bar(n, n**2, align=\"center\", width=0.5, alpha=0.5)\n",
"axes[2].set_title(\"bar\")\n",
"\n",
"axes[3].fill_between(x, x**2, x**3, color=\"green\", alpha=0.5);\n",
"axes[3].set_title(\"fill_between\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Annotation de texte"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"L'annotation de texte dans les figures matplotlib peut se faire à l'aide de la fonction `text`. Il prend en charge le formatage LaTeX tout comme les textes et les titres des étiquettes d'axes:"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"\n",
"ax.plot(xx, xx**2, xx, xx**3)\n",
"\n",
"ax.text(0.15, 0.2, r\"$y=x^2$\", fontsize=20, color=\"blue\")\n",
"ax.text(0.65, 0.1, r\"$y=x^3$\", fontsize=20, color=\"green\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Figures avec plusieurs sous-graphiques et incrustations"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Les axes peuvent être ajoutés manuellement à une Figure matplotlib en utilisant `fig.add_axes` ou en utilisant un gestionnaire de mise en page dee sous-figures tels que `subplots`, `subplot2grid` ou `gridspec`:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### subplots"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 6 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(2, 3)\n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### subplot2grid"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 5 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure()\n",
"ax1 = plt.subplot2grid((3,3), (0,0), colspan=3)\n",
"ax2 = plt.subplot2grid((3,3), (1,0), colspan=2)\n",
"ax3 = plt.subplot2grid((3,3), (1,2), rowspan=2)\n",
"ax4 = plt.subplot2grid((3,3), (2,0))\n",
"ax5 = plt.subplot2grid((3,3), (2,1))\n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### gridspec"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.gridspec as gridspec"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 6 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure()\n",
"\n",
"gs = gridspec.GridSpec(2, 3, height_ratios=[2,1], width_ratios=[1,2,1])\n",
"for g in gs:\n",
" ax = fig.add_subplot(g)\n",
" \n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### add_axes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ajout manuel d'axes avec `add_axes` est utile pour ajouter des graphiques intérieurs aux figures :"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"\n",
"ax.plot(xx, xx**2, xx, xx**3)\n",
"fig.tight_layout()\n",
"\n",
"# inset\n",
"inset_ax = fig.add_axes([0.2, 0.55, 0.35, 0.35]) # X, Y, width, height\n",
"\n",
"inset_ax.plot(xx, xx**2, xx, xx**3)\n",
"inset_ax.set_title('zoom near origin')\n",
"\n",
"# définir plage de l'axe\n",
"inset_ax.set_xlim(-.2, .2)\n",
"inset_ax.set_ylim(-.005, .01)\n",
"\n",
"# définir les emplacements des tiques d'axe\n",
"inset_ax.set_yticks([0, 0.005, 0.01])\n",
"inset_ax.set_xticks([-0.1,0,.1]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Figures de couleurs et de contours"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Les couleurs et les figures de contour sont utiles pour tracer les fonctions de deux variables. Dans la plupart de ces fonctions, nous utiliserons une carte de couleurs pour encoder une dimension des données. Il existe un certain nombre de cartes de couleurs prédéfinies. Il est relativement simple de définir des cartes de couleur personnalisées. Pour une liste de cartes de couleurs prédéfinies, voir : http://www.scipy.org/Cookbook/Matplotlib/Show_colormaps"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [],
"source": [
"alpha = 0.7\n",
"phi_ext = 2 * np.pi * 0.5\n",
"\n",
"def flux_qubit_potential(phi_m, phi_p):\n",
" return 2 + alpha - 2 * np.cos(phi_p) * np.cos(phi_m) - alpha * np.cos(phi_ext - 2*phi_p)"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [],
"source": [
"phi_m = np.linspace(0, 2*np.pi, 100)\n",
"phi_p = np.linspace(0, 2*np.pi, 100)\n",
"X,Y = np.meshgrid(phi_p, phi_m)\n",
"Z = flux_qubit_potential(X, Y).T"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### pcolor"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"\n",
"p = ax.pcolor(X/(2*np.pi), Y/(2*np.pi), Z, cmap=plt.cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max())\n",
"cb = fig.colorbar(p, ax=ax)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### imshow"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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/2/ft+p5t7WUh+2y5b359V62bePuEVdewtxhlgiAAP0VEX05EH90bIPUZJSQhHLphVxxF4tzIDNQ8C6tg1gLbeVamMQJJ/9neulKaEGjFus71GRNfUuFYAsHYQgTCOhM5MvLnwOAlIRCKhJxDZWGHiXFcUl2OGbwmGyNf3+s+COx5nRLX/ToDYG3tV5aHuWyiApd775hXn3CYgy6rhNTjnZ2pr+DlDHyXtS2jUAyykMZ4Jaaryic46PnhSAj2sMwycV2caqiGvJ6Gbcs+8/+7x7b2PDEDK98GVxnxGyAY3ZaBCYD/mYgEwH+bh5j3sTVB0LsHYERAmNsTk9h1YM4Xw0DNAC0krMDsElY2kpDjBjZ+Gm59H6hmfnMs3Y9ZBb6P2pUoNaUUPhOJzsgPBAQWLMkkJIMpldcqHwMOU8JhYsQkOCyMNAkopqaUAlA2pvlHBiUBMKv/dRGAVXblwcukIzvva8S+HjKgzcz5GDQhMYfqf5lE7g38xsj3Baxp7duVc+5AzF8jffhsA5w37tcsDOhl41bb0tdttrUFWj1g2f3h297qgXoTBnYVgH2EiH7Gvf9kB1JfLyK/TES/GcD/QkR/N0/bWH5tsM2d9NuzM7D2hAdw06gkCjDrze8BrQezNaCtWZmBmX5vfE48NbfGNWpYe0+9UV1Y44FlJhCaAstYaq7am3IB0lyM/MAApbpsEnIOjNdLwpyBwIPEQ2ZiBmQpcAasqsQ4MzFiQVoExJQZWtDZjQYeWNNR3ADR+V5eOobAmENlXw9Tu48GXFPIzLJkKqv/FbLnR0Cb8PAlFB648gOhFBJ37GsrU9w/jDgwQopdnVd+zSBm7eKaduXX+3Zm63vQ8oA1GsJpaGXcBMGAMF0ME7/aG/M+ROSX8+uvENGPAfhaAB7ALp4gyOJ5GdhhkJ5vbvZ8Y0Uqy4nXYGZA5mVlz7oMzIAKaH30Q/yOasKaURXO+V+rwQv7wsukWa7OfG46dee/wMqOrIyCUpZZnP8CY06COUkFro6FxSQ4RS4XXa0GBg5AWggxJgAJlAAhQmLJjKzKTT+iqnbSRimWDR68pnbdYfUXCpDNocpFfzwEV0aBroB1ZeBX9rU1EOEmaA0eQhSoaXdj415afnDGSN8y5HsAswfBFmgZWLUAtrYvboFfVoR8g+28B4BF5HN5+fcB+GPd1z4F4DuJ6C9AzfuzEwQ9H4CxTklmYf4Ez1wajQQDMKuoliGYnWdlazDz0Hm5F5b3fQBcW2Amxetqq8KtFkxSAqX63jwd6ZgY8aFISCJBYGAys3upN34ptnXZvgcHYDEFvIKyLmVeKh3bfdYMpQGZHnx3vG6yEM6syYMXBy5s7HEOzb54IGtAy8z8LB8DVwkZ2NjXUmW2zQWZHwI2EqvNDWllExezr43rypGAJI0FUWWj875wfsQTe3+ObY1Ay49XptdgH8huATwAmjHl3iD+UQA/lrc1AfjvReSvENEfBvDkCYLeGQkZzEQ28DKQiqmAmgQZgtmlrGzLD9sCqmGWKDcQvUEvu7A9iOn+p1UmUlKEnI5AmItJbb4YEzJ4mfErRVbNgTAnwpwYc0iYExXWZSxs6Sa+NRm56I/DQIyYtHKfpbCulDzNQMtCyXUPcuA1zVqNb9LR/l4cwop9mXmvTKyVj4Fq/VfI/hetpLZ14m5f+/KV/hqcCw6MmKKWV6TYsTB0yxrXtCUDLg9a9rsj0PKsv5eRb1NC9tnNp4SI/DyAf3qw/s+4ZcGVEwQ9MwPT2iOfHeK5el+SUvHFPKB5MDMgA9CAmQGZz2LuZSZ9bD0x/Y1b9tdR/b2wmymltLqJFMhSyaCtqsyTGtZEjOCq8YNoBnKOgpmlmPkzCw5BECcpoNHP3O2PfYGyOmI4D0wKExt5uCMPzOq/DLzCtPbjeu+r/lUj3+SkyUcFbtJzEZf23BT/q2Z223ObSgHxJTVhFAicGBIEMeZzEcX1i/Ssqy/XqTEqddiSicStZDTg8qA1lJC89sL0/1uG9kZBt2NybyOe2QPTEx2chGkZWFADnyugFdblmVmSAmw9K/NZzJaVtTVnPkZPzZUvcSH78lGqxF0pRWPg241oN2dcVBNn2RQoF38mu6kVzAoDC4xTEsyJ8CCMKJLlo7IwAy+Ll27fioRnQVwEQoLEAgYKEyvXzpgCWWfxysTYjPuJ8WIOmXEpeI3Y18PE2byvf5Z19XI4EBr5aEBmMnzNwmoJhT/31wQFAmIGDZscLfUMDNhjYSPQsm174BqBFtCxMfYgdp6B3cQDwx3AhrH2wDLQzN4vkoaBpUiFoUlKbr12/ehZmQGZJEEIYeWVAdsjZQLrmhvb70sn8kgxKQt0JRSFiVkm0hn5pY/ksoBCLqNICyAHIC0I09RkI+3mqCxMM5EpqHy0jOSSBC8O7aU2IDsS4YjKqLTjt9aKpVz0uqr/gHpgZbwxZ+ITEw7O8zpMjA8dQgEvY4SVdREeA6/ZV5aRVUpm+SgCSkvpyN36X9nAdxlIf84tA3xJTRhl74EDIyEVBdCOUNEydR992xmZ8lvA1YPWCMzKPqKtP/RAdhsGRq63xrsXz+qBTS+mmuXJq1NmXhJTLqGQAmoSWzAjFkhoWdkWkAHV9JeosijFpM/VNJaSW7U3uq5tjP3nfYgDMs8KvJGPhok5tpEWIAYgaDYyCBCykR+yvzcHwuPESCJIgpKRfJFr7ZR9KbAtg+M95X0iolzoagA2Pjf9SK9m4nvP68Uh4EOHNZgdQs08eu/L2JcBF6Ea+IV12XlJedkxr97At/Ou7epy74tYmRcHQrRMeGFhQKkXu6LdbJny54CrB7rSjauAWPu+HIMZpjeIOwMbhBayTr4LHoDKvurTUzJoaVp/DGYKVvEUN4EsRWVhPSszMPO/aTEqGmy9ivGTby9qFtKq8r2E7HwwB1x204ZwyHVRlIEMHQuzvwpoURQ4RlE6Ui+EIxNSEqQlIZGodMdYQpYp2zJwMY+6CVUge3GYCpgZ2Nbs44B9WeYxH1/jfbll73/1Br7/OxfqfREkMGJU4z7GWIArucKbFZCVNrCuD7zU3woHvgi0KCeP1hnJt1VGcRsT/23FM0pIRnhsh+nwpQYqFVPxvpIDIgMzCi3LMnZl8jIeYwNkum1ZM7Z8g4bc58u21e7vumEBO+UTsWb2fBeiVTas88FwOoIOj7WLjMnINGVP7JBvcK0A71mYZiPVA0sCPARBTECcahmFhZ9Mw0AsJilA1nY1as9FOScZuPwoGC8O1eda+V7MeMiS8WHaZl8GzIFIpWNcNPvo5COWBVhOkNMRshwb/6tpT12XovYaDdpm0Dah4GU52iwlU20bBmSjtgLsZxPDIVzEtnrQ0v+33+XCwPR3r+vadmnQu6sgn1FCMmHaADDvXdg6diDQgpmCVTpFB0wqLzlQC2RJgIBx9tI15hFlHmUbL6HWBsI+UlJvzORO8cGWEzDNkOUIOc1QnTtgYTRVBjZgYQ+TAlrKmdfH3c4YGtZv0l694b/V+b0d06uCWA9e5oE9TkGZVzDwYjxMYZN9FfO+kdLLpnz0/pcBVj+EUbkmZ8JkZHk/YGLn2okHHfv+OeDiOWyClgcse2+/aevanbmRhLyRFH0b8YwSkhBeVADzjYo7AEvGxPJ7A7N4WiCRQLGClaSEeNwGMomCwKGRlwjUgNlwfzcapf+sDysHAeAYQJU3avJn9rWcgPmwXU6RFlCaipm/xcIeJs0+zkxIrFk+wECosq/RfIwxSQNeBcA6Bjb631E3oReHqWQfH6dQso4PWT6qeZ8zkTxmX4FQ2Nde+YTYOcz+l+9CVM65Z8B71zkDlxn4DPViWx9su33Y+z6jGA5hCFwmH3vgCvNUQKsHLP++YWF++QbAY9nldzWeVUJOjw/lvU9zFwaWb/rCvkJmX6zLFLg0zHiMoCwviXmTkcVjKn0rTV6mmHRwvwxmfUdsYN0w6/ptD6Ic20bxpPfB0MvIadZsJGf5mBaIsTFes7CZVW2KoHhfgAJXyn4YkJBEuw5pTAicygiubwJgD46BWbaxlE6Ete9l8vFxqtOplZ4Enn051kWpyshGPnrvy/lfdo4vNfCJGXD+l11fAzGgd72Qv9PaCZcCV8+4woFXbMuWV+udlGwfpn7o71tJyDsDWwfT2gOLVS4CBmD5adqDWXIp8dMCHXivApmxrh7IANT3cECW5WUDZi5G3TguKmB1spgL6+o8MfvzMtJnIx1wjVjYzATJmcmJCQLGQ+77+TgosuSBBAwcVwC2nAGwfkgcGx7ay0hjXo+Tel8PE69k5MS1P+Dslhv21clHWSpwYTk5+VjP66gTvb8me2HXVlItpQD6Tlf77aIwrDnsAheHLC0NrDLz2gIt3U6d9XzExPKFPnuc509EbS/vYjyrhFx5YF3dTvKgtQFm6bQUJrYFZJadpKiNKB5jU35hwFXkZQYzwBV4NmZpa+JfNKihk8BWHV5qxIxBeBm5nCDLSScVLcPFrFnYzASBIAgwgZAgEOiQNI8bo6AEykmLDD4GRApg8YkSMqwk5MwGVtSA18MUSu2XSccp1LovZWnYZF+l83Y+R418PB3rg20AZpcMZpiAUsAKVBADUIGsaw+1LXSlEsyt71UAbR+4uJOPHrRsPZ8BsJtISNwZ2DBoh4GtjHtrjB2YxQxeW0BWPLIMWpa1BNDUkaUo6m2EQSmF6yNY9r176pbv9k/A/tgMxGKb5k/Hk45LbzJyOQLTDHgzn3MW0rOwwJBcFzaxmvYmJbX8i7OEZEQHZmwAZsWwGx4YAMR8Lex9BS8u7/30aIeJa50XV7/L2JYVsJqE9NLRpGTgnHlMA/YlqWQdS/FqlpGj8gk/Dv4eeHnZaO/9ME7n2sMIuJoSCQdmvce1BVz6+Rq0PCPTfeEVePX7+PS4zWgUbyue1QOb33sBoPW/PIj5SWFHYEYhFFbWA1nzWhqwll8AWPljW0C2JRMv6QOZoiYK2Bn5un4gI5cTMB0gpxNoOuj7+VBZWFqQOysqC1sIIEYIB0xMSFKlpIGZMLL3pWG7a+N/cVQwY9JSiGNMZSRXALkD+BiUjbkBqPIxcB5JtQ6JUwz7qZZOmO81M3X+F4qcRFyA5diyr9x1KC0nlYv5tcjw5bQqmehlo61LOYu9FSXr2IHYqN9hk+C50OdiB16j9xRCXTeQkV5i6n6tfbCbeGD3OrCNIAYdHnUR2qEZgMonAEgR7LJHIzCLmXHRadEnaAYtOub3R/9+W1aOgMyKXC1STEOG1Xf3qN8XmJ9qCQhbLrVtyftiEVjUvC8MLJv5cjoqCyOuXhix3uTEjZScRI3mWezMuoRDyuzJej8QIaSEQNq5m0mB0I8f1stHYCAhiQpwldExWPs4Pgbr8xgKkB2878UoMtJAjNKy7X0Z+7JXq//KjKyXj+Wc47z3pdcwF0tY1yF3zfs2cA64tuQiH6bMxqb63jEuA65RFjLMU/5tBblShW1A5nve36CAi3B5kfZzxEUARkTfBJ3uKAD4ARH5493nvxXADwP48vyd/0xEfnx3o0wFwIAWxKyWp6xL6hOl46kBM5OMBcgyI4uBkY5VRmpWspWVAJpiWByRTf2gQJZSk5EcFS1ee2G1cLZK4F7uUEqQ5ZQzkCeAg3o7HJSFUc5ILkcIMSgywFyk5IQsI8svWsfjLPfsWEhv5BNJYWFJpABZEi1+9ZlMH2VoIRv2hlrgYqtJc9LRgMzAa86+19z5cAFZOsaTsq/lWL2vEfs6nbL/1UvHfI5Ty8QujeKF2ZnM/SJX5RJdX0UvFwtoDeRieX+YNoGrN/P5YHYCV6DK73VfOtPzVib+B5mBEVEA8H0Afi90yNefJqJPicjPuq/95wD+koj8aSL6J6EDk/0T+9tl0Iv31MOwdQCQGx2AbFzX4kTON7YxswpcFcjScQGFgMitjARQWVB+tbKLiKgNz2Un7abn3Iz75t8PabIVOvRPvqG4+mDVD/PZSGfmh1BYGJjVCyPSm9qkpDEyYkzhgETZ/G73AAZixftyUpJJ2dopJswMnJKOWmHK8dyQQ0woY9p74OIsEb10nDJQefAyKRmIMJl07Iz7Ifsyr7C0kTiUj97/Kud6RzraNZWUSiYbWCdr+pEhrl6PO5EAACAASURBVGFdXi6Gw1w+3wI5ym2BOLQAxk4q9jMHcdB2coP4oHtgXwvg5/KAZMjDvX4LAA9gAuBL8/KX4cw41gD0IjgGBse+KvOKIAM0a6jTQaVWSqBwrMBlYOVZV5aVAAr7Aqqk0ELWNRvzXY0Ke+G1BNkaj6mclJhWDcszAgpVRsbMGDk3TM/CEJSJ6SQaGbiyB0aRAWIIMWaekB8DsNGi6+Wh3DeOwUlZ0ykJTqyvTMreJsn9IaWCV+pArJRhELmZtKkBsPpKZZKOQGPwMlArjCuzr+KBxSOwLArs/i8q2MtyQjqeEI8L0nFZyceRdNztRhSlAbH+etv3trr+1Kxj9rQcIHm5yPO8Ws9zBTKaD3qfTIcGtApg5Vmh9KLkffMs7CZ1YPSBr8QfTXXUTzb5PdDpkv59AO8B+D2jDRHRJwB8AgB+6z/2m1oAAxoQ69lXA2bMup65AFkqWSP1Coof5tgYgOKNAQBxQsSiDS4K4hGAVV4Dg8zkINMzyEjqDeAPK0vHXIjby8iUvbohC2OViZhmgBkcshdG3EpJAJiAQBOE1FdCogbEWMy7CgiUEGKu5I+aADjlESgitwCml8QNJ5PDQMvmCvBDQhtozcFmGsomffDmfe4Cxdn3ynJxLB3X3peVTozYVy8ft6SkZ2M+82ggtnete/DqM4wjr8tYVw9qjZnfA9d0WIMWc7usO9Y1zht4YB90CQlgtPc9B/92AD8kIv8VEf0LAP4cEf1OEWlaS55i6ZMA8DX/1G8XfvFe/cyDF6DlBNEq1HO1em6w9nT0QBbCCXQ8KUBlwzNloAIycLl1K2l5jMAhoO8oXjKTQNMPbniiBjVhauZnVtTJyMSagCgZ1Jj0GIpUMDZ2qJ4YB21VxNnIP+rFIAIl9cPqk1dA4hhE3v0oAsqSkhOKdJxFgepkpRNSgasfE4wtWwitObP3uoxc40Vl2Gtb9uBly1YyoYb9ERSPzsBX0DLWZYzLvC/Pvsy8T6elSfr0nbj77KP5XR7MRqx6C7hGBak9KPVelweuKiuzVOyBa9aJg6uMzOB1zsR/ByvxsyX1MwB+SUT+QPfZxwH8SQC/lFd9r4j8wN72LgGwS6Y6+g4A3wQAIvLXiOgRwEcA/MrWRon4rInfMLAYc23Uqbw2QMZBb/wMcNGlnWMHZoCyLwsvKeMRcD3gChsDqpHfDIE9yEwCWW660S2s65N9ZpnJnoVxYMfCjqA5ZyXzMdpTl+iYPTDKQMbF7QrhUBovu3uVoZ7VKaHMuThxwJIEsxBOUdnXLFTBK98PdTJXl8TIQORNfHZgRVBpaJlKzTh2JRNIWSKqdCTLOmYgM+koudtQqfvyGUgrDs4g5tlXf008SI2kZSlYHVzjvj/slmT0UrCXjAZkBbzmqZjzNM0FwApwTe4zD1reB9sw8W/hgRFpmcwN4z8A8HdQLac+/qKIfOelG7sEwH4awFcT0W+DIuO3AfhD3Xf+XwD/EoAfIqLfAeARwP+3u1Ui4OFFfS/qfZFIqQsrfQOLVEh6wVLUVw9k+WLKchx2t+UCaq2kBKCsCAZqtYO4SUrrWtQDWXM4gye2L6UYysjMwjgmpLD2wogD5HRq2JhJSg4BeQeH00wYiJEDMMqMjAiIlCc7SXopRAhzUDO/eF9p38S3B/zMXGYNqrMIda+E4oMV+diDVwdka+lolfe1+1XPvrx5vycfRzVgJh2B9sHUA5e2lf2i1JZhzUPWVTKLBlrTrEA1Aq7Z+WDe0IfWfZXZozxo3aQSvw659MbbIvoYgH8FwH8J4D+8xTbPApiILET0nQB+Avo8/kER+dtE9McA/IyIfArAfwTg+4nou6D30MfzDCPb2yWGhLYSnySpHLKhYySBRSDToYzYoHVSpxbIstFdb3BlY+aN9YC12pdgmcYFARMiFoUok5RRUNiYGyvsXDZLv+OYmDEvTjUzGRLS6VQkb/XvjgWsyLEvO06TkpT9MMk1YYQWxLS7iYLWQlADXzIbE+jsRiDEBAgETKydwtF2ITIj3/eL86DFZI0dedhrWgFZLVpFHuOrAy835pdlHbGcIK9fQY6v9EHmPbDTUctiHPtKp1M9z94TK0XEsluR76Mvmdkao8uD15bfNZSMBlQGYHOWjwZkGbhGLEyyjWAJHADltbS9W2QhCdcA2LmZuf9rAP8pgA/vbOMPEtHvBvD3AHyXiPzizncvqwPLNV0/3q37L9zyzwL4+ku2VYIIMtXRKEi0D18ZLsWW06I3riR96mTQaoCsMTUrGyveGDO24QtIxwUhjxnfg1gqo0BVSQm0QHYu1EcDEGpRa8/CyBXhWt1aCM73Gp1CADi0JqVMaEAMPGHmCSw6ON/JWJgBF1Ge4EQzlzaOGJATAbD37ma2hz1cKQVBh5Z2DIxgQIZS71UKVXOWsWQc4+KA7AgcX0OODriWE+T1yyYTmU5Lkd8r76tjX8BlD5x1pT2V9ZeAV18i4cErPB6qZNxgXQXABsCFaSqAJTxVtmVJHaAyMeBGDOwqANucmZuI/gCAXxGRv05E37Dx/38ZwJ8Xkdd5vsgfBvCNez/4rJX4Mj/qmFdABS8AzYzLPOlyWgDWPoA8H2p1esnOrFkKWH0hhh6o+WKjaEzeDGJm7vcgBqABsksjRR3TfsTCJEak4wJ29WuNoQ+0WUnzw4AViNmMJYIsiydg4gk2FHQUKRKSHANL0KF5kiDP2j2ewdwfv4EWEcBYA1dhYhnkLMOItLTMqwcv53v5rKM37lNMDYh576s3759SyAqgkYxbZv1WfRfPE6bHw9rvmmYddXfAumg+tOA2HxSUMmAV4CKuLIwdkOUQB2pvEpS9yhvE1wP4ZiL6/VCL6UuJ6L8TkX/TviAin3Hf/34Af+LcRp8PwEBAONR0pmdd7JZt/PMMXuWVqMnIrH0in40JK9eKQsvKEhawOx0Jlq1MKyYmyU8Osn1xJaXm/xhtMa3eVFa/pnVhpW6tGMfH2kD9MfpjMS/Eftctw2b6ng4IPIGZCxtjHf6szMyUsnRUANORLWwTze9ZIWyWpiofVV7aGPY2i3hhXflaNqUSJiFTrOBlpv3xlTKu46su61ilYzpp3VeRkcbGjIk1YNaO4Nsb+MNpyc6Al3XxuRi8Hh9byfjwOGZdZd0E4amCFk8VtMLUglT/2rSIpwcR3cTEF5HvBvDdeZvfAOA/9uCV139URP5+fvvNULN/N551VqIiIX21RWZekATJwEVp0eUU1AuzEgJSM9tLxsJS7GdYa+kJUDaDV+WzCViBGEW+SE56ELsmbCYkY2EJAPUZ0oGUFGCdFndARqj9SgFAclJEJIEkX+ag59PYWICa+PoqEFAGL/O8aFUvU38v7wK1IBaYigdGcKzLyUR4CdmDV5aNjWn/+lXNOmbpaOBl0jEenaSMrfd1LfvSazAGL5OSved1DXjx4bFKxsPjinXh8FABi6f8mhWFY2ArJlZ23sDsVhLyplnIdvutl/5HiOibobflrwH4+Ln/f14JObUmvoJXfu6bjEyxyMg6uB9VJpY9shUbA9Q/gsod85H4EfAgFgaNu5Q0YHoyiJVJRgYszHthAIZSEnAsjPP/5eOhLI1Xp9SDmEz63ZAyiOVylJAAXhDyjRGCzVSu06klGIC1xX7mi3k14VkXw3tgeR9yp2z4jtkdmFGu9VqBl/lfpwpcWE6Ir16XrGPMIDaUjp33NWJf54YPP+d5lbG6OsN+C7xUNma/Ky/Tw4uWdc2HbeDy8tE697Mz8HvJeKOuRLfKQlqIyE8C+Mm87L30wtIujWcDMAEQqf58c45MRvazMJsHwA7I8oUjoLKxPrp1HsT2MlIRCyh3CuTUWvlPYWIS9X8os7B0XMCHqUhJH74Qd4FeKM0nWi8BFEBr/i/N6okVSS56Lh2QCQf1xlgl+UTaGTwJFQkJECyRvOoHar/l+kOSvYqWN2gmMWXAii1wpah1XvYAMs/LgZdlHFNeluOr2l2oAJdmHQ3IvHRMRycrHXidiz3wYldbeFGpxAC86OFF9cA6FiYcNDNvwBWmBrgKaHn5aICW998PHnKdNtg4H9dlIb/o8awAdrTuKXmdPcEBlYjMKP4XpSXX/2hnZpOREvN7AKDsjQErFlakVR7lgg/jqeb1aZ4lQVL736SlgpeCT8wTn+6B2IqFufIL246CmkJUn5X0ETMb42zci/O9ml/Nx0dzluHhAJJJwauA2KQFoAXI9CYIdkMUhkdbc7e6TCTqgyalAmAFuMqEJC0Ts2r7wra6LGOzbNX2ne81yjqajPSzVzXXZId99eAFoAUvLxXdUDfs1vWG/S54GSM7PKjXtQFeysKmRkIKcfUsy7OqfeDcBMBuWAf2NuL5AEzQzBCdb+2BJGHV4FkyUnKgZTdcNvURszd2qMZ2+T0ASLHkEQkVOEumKiXw3M2BhgUSVSak45LBK8JGwDh7nDtSMiGVHgGS+2VuRc2evsoM0kXpweAGhkxRPRV9o/UVxsZ4gfBUgExBq0oSyYwWxFqI30sRSXpCM8sroJUlfwW0pTCxhoWlRdlVloYevEw2Fua1nJBevRqCl/lexcjvSyiulI5b55ydVKzDO9cRJKxT9gq8Do81uzgCr8OjlkaEQwawuWVdIzCDdfFCJ/lzwsVfplsgGNreF+9aPC8Diy2AaZGkOFM4D3EMGzzPLmyd6IKiY2NAkZO6zf5Ozxm6lBpAC7lhez+sdAyP7fRVxrZu5YfF7LFZFlRCWnV7st+uUUFM8jHY8cBec88FAoDJmNFSbgwPZCBWqVwkiTOFt3wUlzWuk/DWvyFw2T6UMoljnVkos7CngFeptD9Vb+yWvpedf595LP6X7x5ktWC5VMIb9rvgFVQ+YjpUoOrAzIArJgUtTbqgJF0ABbEGwMZX7qp4C12JbhrPBmBJFMA8uCvratPyVmRpqf4CZM60LJIS0Ip0YAxiqZONGch41pE8+TBlM50RDi0TMz/MpKQfP/2S2AMx3xMAAELej+QYmflgNV6BD7F4YmUk23xcfpJXn5annN2llFktLUCosgSOfZ01gbuiYyuVKKCWQauwrmWpoGV9G600wmUbG8/Lgdfy6rjKOOoELkvz/k2Zl8VoUtne9xoNh1MziofWsPfgZWZ9OFSwMgkZZkjIwEVcgCtmphVdptiDWHKQZYmYN40b1oG9lXhGBiY4uTOccyldYaSOwxXzayK9WRMRQh4PXvKwMoaE3hMqIJb6qbHrIHj6PhX25QfA48CNHyYNGxsb+u3PuOOzIVoGIIZjhPWq8qBlWVCLNYjl8+aBuRuCqGFjaVZvzNfTsZORvjCyL4p0URIEQPG+eibmGReJuLIIx7qKx3XMdV7VwPfgFV8eV8zLGFcPXvEYd8GrvybNcXXsy9YVtuUMfAO2phK/dA+yItS5VNrTw4uWeQ3AS8Ks6ycFMuurGkUKgBnz0sJjqRnjQcJFbsDB7h7YRohUCem7pjCJ88BQU/wQBTJBnQvR2NgE9cZs4+6GayrVmxEuPGOJ4ENOxc/KfvgwqSzspKR6cApueyysz3jVoanLmieDWHBej2UnS+mJjdzhj9WxMetPSrNAiEoPB19bh4haX4T6IOijABZQgctkovWkOB3zMNBxyLrg672szut4KmxrTzZ68NqSjSPg8tdkrxCZnXWwlpChYV0cuJr205yLVDOYza7LkJeNYS5gJWEuElIKeOlDvgcuHfa798AqYBkvuJkHdgewdYgAJ9eo9CRJ0zk4ZCaWOiCT/DoBeRjlqUgfyziKO7IGxPqIecSLFNdScp5WWckRCzunJo15AfWmkdxBvAcxCql4YmX/47aUW6AeHs8OpPIYakM2lvuTlrH3OYBCrOzrbHU3WvPe3ktlYTaOmwcuWMZxwLq8pPSs6m2Al78WW9EXrI7YF8+5V0MnHYtpP2W5+PBYmdfhYR+8sqI4ZZDSWaGMgVXgsvcCKfLRjtB3wL8FgN3LKDYiieD9k975ZXx1tlE+8zyFkA0J6Z4yatgUSelBzGqfIOr90CwFrDxLITc8i7EbPkwlK9kb+j0Lo8CbKGY3UTPDUX7l/C4mgKIAh7Ay9oHewN+OIif7cdTcKK+U55+0oYdoOkDc2FI2JZdYOcoZE58s+2WglX9bx+pKZQwv8WC2wbq831UKVTeyjSPwisfYSMY0OPf2fjxgITWZRzv3I+Peso5FRhbpeCimvf/TOi/rGqSZxR68Ihgx5ensRHR8NmkBzIAr5kRwTHkSFpEiKraGAn9KWO+KdzWeNQv5eqkyjpmA6PvR5QHyEmHinLWn/LRhVBaW7y/RvkINiAFdnZQkbWAFsHqfSKVkyAPkMTMkP3FHLMwyj8isKiY0mch+WjZAb4zCDIDyv4AOpii5r13EkuvQUIpp62EkhDwQIhvoJh1PLMyTSsoRGxuwrzrSq4KYVX4DrhSlLw7Onpuk2EhXccBpgCYrFtayLqQ4rvE6Lk2Rqgc0AzArlSi+lzPw/fkfDU7oQczYlkWfefTsyxv3+n5qpaP3vRyoWZFqw7Y68FqyXDylln2dUgtcSwYtBTgpxr5eCsfA8OZxq76QbyveCQY2Ai9mwinpYHkntiGK8zyCqGysbM8eEj2I5QJOiGhRJ5BT+5WptMPy5FEGshe2x8IospoSOcoIsf2xduUZFnWo6srGqpRkSMjlpE5CSkoqV9x7ianxxYJ9pznGYwbvWIHLQMy6YHVDFAvW9XT1d9shwD1o6WSzMU80G1vgMna2nLTb1IZktJnXfYV9KyHXZn2VkWvg8ud/bwZ1C595bLwvt55nZWBN2xn5XvOhZBitNGIEXuZ3leVOSi55uO+U8uxRooC1BWK3YGDAnYENIwnwyhpY7KbpcsMTn0gwB0JiIAXCDM6zULcaX8hxLWYE1sp2BCksgSQPzTMfGilZZJVjYZISUuAVCxsFB2oUZBowr1EK38bYZzBiZgQcBJKoSErzxXQb6suV5diCWerYmHo1NpItt0DGOXtry9yCly0LUGRlOdftwRYQkw4wbYq8BriyrOxByUvDS/0uk4xbwLVVbe9BzM9ZYNdyFCXzmNtE8cI69lUmYLG/w0NTlCrhAITa39GD1+IY1xIrG0uiI+WeogKYZ151WfezmYjl7oG9vUgieGkMbDBN1ylRmV8wCiEG6KsI5kz3UwNaAAmBBSABOGcnATWbZTqgVKSHBJpcNtImSzVDPw9TbdXXKeUJbzML8zKS09gHa8ZeN0mzYmeVd+k7btjYlqQEWl/MJCXPc8vGZu1nGfJ+N0BmkvGkx4rcj3Q0y83mfeBYmH8gePnaA9dKCjbg9XTJWKfB2z7fxNxIx94Layrve/mYM4++4p4cWBXjvrCv7IdxZVzetJeccYwJBbxOmU0tUYqR70HrlESBLM8eZd/fmgbv7oG9xRABXjkPrEzRxep7BSKcSOcZTKxT3qfc4VjvY4YwMOgNmINw4DwooaX3p4NKSUmgaQKlPGGGMbDlCBtzvPfCUm7MKfBuVtCH74vnb6ZaUmHMBXnYnwREQAI3bAxAIylLmYeTixKzB3aYG2/MujxR4ApkjXwMjYlfwCts+F/1IPQ1mh828MFMRtpExAMDvrKsdX2X75TtJWM8xRVw7Z5nA6yUCoglnJeSXj6W7kQ9+zLQt4mIp8rIbDwvk46+SFV4wqkY9tmgd+C1JMGxY12vYirAdYqpgFbKdWL9VHg3UZB3BjYO88D8NPUAylT1NgRxEiiQJcbMggdhRJsoI1iPxjWIEQGLEKagzEss1c+LSkmeQLOA/FT106FMlmpeWOOFpNB0KzIfjEIC4nZr8eOxl3VRGg+PkYZAFg6MiKiziBdzOZV90O2qeW/FnGGeijfmgcveF2nZzSNQRrfoTfzN4xr4YJ2R7ztctzIwrbyuLZAbsa54TA3j2jrHKhkrkBmIbYUvn7BzrH+h9cT8qLhlJiGbfCOUrKMWps5NX0eEQwEtM+xNNnrwerWkAlav3XKSOoP6ybKQdgkyahmwvWnozFJ3E38VSYCXx1xGwVRebQjiU/bBigcmQLRaqnKRinMPD2KEPIEFoAP3mR/GsUpJG6o6sy/xLCwvUzi6BszAqZq7nBjpdMXxDjKTftk8MMQITlSB7IgxG4snhENo2ZjVr0VjZVVWeiBLgYtHVm5Wz7g6CbkVq2nwgMK2zLvyQzuPgKsMB+2+fw3r0lEnxuUSfp0B2V7hah+llKJ/kNmfMa0B+xIOpWSi6ZydwatmGrfBS0Grsq+l88BOsZZQxLwtoNaC3cQDA3DFKfuix/MysGP1jIJNeOr+knDuD0l5vkJtUAZcqXkyKIgRaXEnU57Agkj9MC8lQ87QmaG/nPTJmVmYTWVG8wF8WoqZ72WkBzOc8tM9l1L46G+w3dFBo940Wl6hQFa6H2VZCWDFxiwz6V8lphaoQqgMjLmMRWZsxMskez8y8MtxmXQ0FpTqSKgAavee6KY7y8DVjGXvzHz/Ph5tVAlBOsWzwHVu1FUGVxBDWh0XB8p/lWX58wKgkY/GtErmcYN9raQjaa1XTApAS0L2wdbg9SqmFfs6pQpcx5gKcEUHiBY3yUJmT/pdjec18d2oCzZs7WHiAmZHTjhMjCSMFOrYVCmf0OjaoA3DsyTUyVuJsCTJk61mEEuxDooo+qozHGUvrJtMludJh3f2LMw1cACb3Yp6trWXHSvnJctH3aaAgrRAFgXhoGwsRVEWFqSVkWbeWylI4MLIKAQkYxOnpdyUxsz8jeuPr9lHBxYewJrhbPz7lDaB61xRqpeLHrguyThalMwj6kNAoqCfbXz1fyMpmdtEmfLOZR532VcGMiuTWLLrUJiY7IOXZ2PHmHBcUgEtWwaA6D3AW5n4NxxO58zM3A8AfgTA1wD4DIBvFZFf2Nve8wFYEnz+1eLko57446Ls6zAFrcZPgjgJojDMO0+O0wYCOFEuis2NLXdBMjCL2VsKGbjIGlSK2Qs7qBdmDGw5aQZpOQHe+8hMBqcKaJQU1C4NvQnbMgsPEJIExJQzm+RKLCqQAV5WJoQ5rGRl73kZkLXZNQdmmZnpttvXrZ5SvuO7XtMxaHlwGwHXObloYNYDVzXuxwXDPi6dAs+OuzywgMb/CodJ32fmVRhY9hOH7CsDWQSXzGGp7xIprMoyjR68Xmcj/1UGsOOif68zaB2XOJSPMWcqbxF8QwDD/szc3wHg10Xkq4jo26CzEn3r3sae1QN7/xgLgE2dDxZTHgsshUKN49R7X20wA4H1+wyAQYhOSgYHXHVoai5GrEwzcDqWUgKbLMRko8nIPRO4HJ/d1Cvps2YOxt7KTZYZmCQpzMsDmX3XZKVEAc8BEoyVWalHBrLMyLzntQVmuu01CxtFD2BboNWOkLoeNfWcXDRAs/M2Oo92Lsv5RwWy8l0bwGgHzOza9v5XYarevGfOPRoqAyvsi2jNvpx0tOUlZw+Ndb1eYgNerxYDsFiAS0EsZgBLjYS0sKzkm8YtPbALZub+FgDfk5d/FMD3EhHtTZL9rAxs08RvAEwQU2ieMknWNxYT4XU+0S+moMCVJLOxPBei0JiF+YlBsieGpZ0Zu6nANkALauRro798fDDPHppREly2zBgYIjIYOSDD2h8z4KLMYihnMD2QmZTkkj3NWczO92HHPPbCfLAU1zJSPx+b+SPg0u+lDux1nT9nktZSfDTShLWQUblEitrHNsWEsHOMvnjVl1TAgMuxLmNjpTN8z75KqUSVjlFUHbxaIk5JwcskpIHX6yXhGBNeHmMDXgZcr5fWBwOciX8DBCMiTGceZFfEuZm5vxLALwKAiCxE9FkAXwHgV7c2+G5mIVcAJoh5fHoAQDeZETOVfpVagiFFRlojiQTELRbGE2jKowksp9In0GRkLyl8VM9o/Ziqqf325tvraAz4jKQ0YOaBTNnX2h+jkFZAVuYyjE5KOkO6SUhAAU2P6UoGlsGpHnNaAdeoC9AIuEbMdQT8W96X8TKGY155OYSQ+7F282u6McDa9a2FUGvm/DK7eRwH3ldmXNFJyFJCYRIxS8gt8Hp5XAYScgfAbqMgr2FgHyGin3HvPykinwRw6czco1/aPYp3ohI/0BjADhMPLk5udAfkfpMCpqSFsDkl/XpJCBwccME9AQcsLJ50OJ5c1FmesKejAlmoMrKpCbqyPmYEXpvZs8bI1wOQIE8DMldC0I8yOjLuvXzaCw9WejwDQz+l5rjfBLj2Omn30WYdM3CdKQvxURl3KOeGw0A+ZglJV7CvmDOPJh1PqXpfrw3Isln/8hjx/jHiuES8PLYychPAblyJf4UH9qsi8rs2Pjs7MzeATwP4LQA+TUQTgC+Dzg+5Gc9YiS9YjlENa2i91ikqmzqEClyX9IRnAl7nSv7XpE+MU9QJQZpG07OwDFxWo1PM/DmPlGCT5OYGC6D4YBZ9dhKnVkqOjGZbr17RdiOLubaKIjVgZkCm5RustW6HsAlkfnyr4VRhDsAo1Pq2SwFMjyc1ALYFWnu1XNWwb2Xiyrw/Qy2I11lHuwZltJB+NNYu22jHb/5Xcz5y1ysbfsi6D/VzN+6xL63jSkU6nmKu88rs61UGrB683j/GFXgdYypyUdzrjnV0edyoEv+SmbkBfArAvw3grwH41wD8r3v+F/DcsxKdFMAAlDkGw8R4lUT7QLonS29Serb2OuYuSIuyuRMLTiyYA7ZZmM3EYzLShlQugFX7BoofjcA37nBZBtIPr9PcvGmfUfihX+y7FMl1Nary0rKXlOXiqIbMdxSXDGQRFeAMEO34fFDZl3Yf1yysgpauPw9c8Rg3ZeLWudo7X+XzMlwk3ITC58sn/PHacuN/DeSjEEHy3I1FRpYH6Jp9laxj/rMyidexZhtfZ7+rAllq/zJwSRLEbKHY/a4Adv44z54H3DwL2W6/nZn7zwL4c0T0c1Dm9W3n/v/ZAAxSTzqgT01mnUyViAqQ9fR4FIEIWSAxfAAAIABJREFUryjp6BWZinMGNJqCDoroWJgwFdYFOmXQyizMy0gPYtjPznEGg63oh9SxDKP/rDddU2qHG7KxxCRJATLdHxrKS3ZApzegrWtZWQQKMzNA80kJA7dy6TrfqUo7V1x6Advakok92zp3ntye6PnqBu42oz7FfRnZAyB7Ntb5X3UmeAM0q7bnhtUL1uzLhsV5FXO9l0nILB8NsF4elwa8XjoQO+VzE5cEkXwOU1uic6sxpW9dib8zM/crAP/6Ndt6ZgaW+/TlJB4zgYhAGchC4CHBqRX7KdeMZfDiVKTkiQknJjxOLQuzBhVKStxRftIKazq+KgP7US6nMB/M+0QlE7nBxFLncfmbs66r9H/Dj0aMOjNTSrEFs8y6fAfwi32ycmMqYKXT2sQ+1+3GgxWAFXOy47sGuGpGs31/7hzpl+zDrrYuar9TGzYnxaSyvJ8CFG3msV+XT0puN5Wp03woMzqJAzIhlf2Cln2Zca9D5JjvlcHr5LON9c+D1/GkMjvGpACW5WKVkfm4b8HAiDDfLgt583heD8wkZFSamiDgicCikkgmAefXuHE1AhNe5nqyUyKElDAlKk+1U0ydF6a1YUmgJj4dBzJSAUvKIH9ZbqL1SHaPz91pPYvwN2dKdSA6f4y2rpSG2fts36QUwdkbs9/w8nIEZMq01qzM1uvxEYAKaudiZKyLA7bRUDdbwNWfJw9a/fXvz49GfpNEj6HLPJbzdCGl8AWsAGq20flfmOZGPiJPhiI85dEhUIeDLtnHyrpOmY156XjMGcfKxDIDO0XERUErGXjZcDpLa9zfygNTCfnGm3lr8YwSEo2EZFbmlUQHMuRpfdZe5lfvf708ajX/YdFMZMhlFCdOysIiFy9M2Hrpw/lgTkYaC8sFiSsfzBn51rivOuTGC6vgZTfnPpBR+czuvyBAGLGyDsgAq9znjoGlAmbpFJuSEBOQW0POjApI/YgQo8LTPX+rZ1uj89KfG/usdnWxz6gBMWJlnr3/td/9qF5rAIV19f5Xk3308jE/NK2ztUjNPKaEwr4W54OZ72XlEp6JefBaHANLi/aLlFRlZD3AzcO7Ku4zcw/CGJh1FBXRmzAEhmQgk6TfY3dRjtR2+A5M5SIHziNYJMKUdAwx7T9GmFg70SYmRNHtFlAyGVleW3/DQGxUOnFtKUWpCnc3aQ9co/vKPssVFQhu0t9gIOdYmQGZZ12elaVTKqZ/ZWDJmflZbp32C3S3Shv6avlzMrFnopecE3dW86sHMgUxDvmc7xj3W9fUv+q1X/tfpXjVt6EsH8Wucc5CCmrm0bOvU1JD3hv1vYz04KXsSwHMgCu6cwpo+7odA/uAAxgRfROAPwVtBj8gIn988J1/A9oNQAD8XyLyh/a2KYA+PSCos3fVbFooT369sazb94kJYangNTHhuES8f8x9KANrBpLzky1nJA/BMpECEcpPRycjs3wkqmatn+CiOdYOyNbLLTtJ2dyu3Yvq53s37Sh68IpZUpZlaYEMWMvLUebR97EE0MjKrRizsHUJhD8PI5nYs609RjqOClx6bqq0tGp7870oppL5Xm1l0E2sZ9kr/ytotrHIyE4+igAJFciMbaUkK/blq+zN93p51BKLEXilJRUQ8wZ+8cDOnLWLgnSMvnc1zgJY7j3+fQB+L7TQ7KeJ6FMi8rPuO18NrfH4ehH5dSL6zWd/WVCeGog5C5kAYRk0sFyKyITlCLzKaw3EDkvCYdJU9GFKmAMhCpcnXBQdd3xiUirfy0j3BJWBD+aN/Mbc3QCx3cOOoxt1LJn6nKb9Qgtejol1rCxYFtOxMq26b4fn8TLTl1KkkmRpr0dfh7XVtWdUAjHyti5lXlvno2VgUs4DQDpDUxy1qW5bfV3YqtbPzxkQynsDroaFdfLRpGPtvJ1Kp25jX68deHn2dYoJyzGP5DEAr2LiJxQpuTotbxC/EQY0/FoAPyciPw8ARPQXoJ0uf9Z9598F8H0i8usAICK/cm6jWsi6OF+JtF5nYujAFHphOEnuOsQgygxmIRyzdKwSMrrK/ewxMCFOXEettMbkZKT3vlbL1mCdke/7xgHtE5qddwTsdHMZ3MD+5rUbdeX35NdAdWihnonp5/UPaFmZ7ucazPRYjH2l1Q29Ff0IqLpuDVp23CO2NQItD1abDMykTfk4S8f8qskOKZfRh0QBBllIYF3UWivweT3w46jtOPmYcjsrk3Dk9eaBxYQqE5M0svGYgcoMewOvAmjZvE8iSEubrZWU7hIyR+lgmePTAL6u+85vBwAi+j+gMvN7ROSv7G5VBGk5AkCVa/YREwCGcL4hFkvvI7+qj2MA9npJOLgLf5gSTonKbC4pME5RZWRClZEJue2HCWRV+Wbku7HiZXQHXBFmIHt5NbqJe+Da8n28kR8BpMw0RrJyzysDHJhBi2TLPl+oGxoZuQNatt/98oh1jpIY48gfNkBWwUuPW6vyrQJ/D7guCueBNQa+AVfQ2q8EVLafl0061mGhpQwNbeDl2Vd0LCvG1ICXMi8UCRkXN1enjZR7s0r8N9/M24pLAOySDpYTgK8G8A0APgbgfyOi3yki/6DZENEnAHwCAMJ7X9EAWH09qGRLAp6ysZzpv85ClEALIYSEY/bDvH/wemEcloTHiXFKCQ/CrYxMBOFMt0VBLmTvAsSg8kR1U4wB8JlI/2S+fAyKGlHWXo+/ca/xwux7BlZJ0IDZiJWZVwa0YAa08vFcucFWVfyoNGRPLo6O/dzxa7TeV9LFAl6AMu1r7j9f5+dHoSiABVRf1AGYuDZUvC+Xfezl4yklHVV1aeWjZ19WqFqyjZ6Nxfw+CVKef9OAq7xKL7qvj98IDMw6WFp8DMAvD77zUyJyAvD/ENH/DQW0n/Zfyj3TPwkAh3/kH5foAIw5lBNvMwNh0U4gtFQvhjiUrAsthJj7TXoWVsZcCvq08zJSIJrhhHkUzgfLjZCAxsg/x8L2yim8JyGxTXN7EBut27qZRyUVjZmPCmYjVqbbGIAZrav/z0V/PH5f98z5EdvcYl6jY9dYe1/1+1SN/CRgx7zO9aXcjK58gkJAcsBlf3betY0ht7kqH1Oq5r2Xjb6TtgGX+VvGwFKSIXil5Viu3U0ZGCrBfRfjEgD7aQBfTUS/DcAvQfsn9RnG/wHAtwP4ISL6CFRS/vzeRgV68gGAODYAYU86BQ/KRXqpVOkTI7MwLsPrVv9LG8KLg83YUmWkmfciogWtPPDBOiMfQMPCVlmpJ0gtK2jU5cpALi2rWAPXmokV4MJaYvrPAaxegQpq52IEOiMmuce2/Odb2xwd+6psAqLXzbEwf35STAgX8LHRNR6xL7E7u5eRud1ZAasBmpeP1gZ0WJx2RIljrGUTBlylgDUzsbjEAlySIowMKBPLSZUbFYLxUIS9G3EWwPLAYt8J4Ceg/tYPisjf7jph/gSA30dEPwu9Z/4TEfnM7oaTIOXRT3Wsdp3uKtrcjAB4OiAutRYnxYS0EBIREuuFNS/MnmAHZ4Z6GakNyHwJTW17H4xKESJXsy0XrNrn5XlfRuh0oNt1XWkOdcPIGWUhLy0jGAFX3pOOdemNvc3K2u8Ddd2lcQ7E9tjWHlhv78OgcNWBGJdjWt94KcpmSVjbfSjoNR5kmsmSOrrSFbBy439pG6vFqwZmXj5ueV8iOWPrpGMpXk1SwCtmADPgKpOtpOi6Vj09CB98Dwwi8uMAfrxb5zthCnSI2NEwsVtbbXQ7JaPlCcS9dpkz88rdJvLTLC4JIaQiI70Z6mVkzQAlLIlLOYX3wcj7X+RADGjS5xcfXVr7Dykm53/lde7zc/VQfYyY2CUlFsbKbBuAZ2EteI1ssNH+bJWA7LGtPaC+yLx3Zn0jGaFPWn+uOSbw/LQ7sS+hKMs988ry0ftfysSq56WZ8FY+9qOumPdlbd1LR2VhpwJeysAUuBoDvzlPbxD0wZeQbyWkz0KmqF5YHm7VaLF+FhrmZcsSKi1vG0Iqvf+T8xzihKEPJqACWOKArPG+ysB2l3chGmXofNQbd33zXmroeyZmDbYHrxEr82DWm//Aug/mVozqtM6xqxGIXXKsgO07hsDl3/uyklHYuP3nornWobM5BgZ+bVOt/6WlE/YARgEya6u+7suKUo19tcup3BuedZmUBLyJfwsGRh9sCfnWQgRxORbz3mRjWo6gZBISDuQeC/OyJ5PRbEncUPEX2dR/4UDMPAjvg6VuchAz8JuwUoq8bNFPO7bld++NGgqsGdelPlgbLXD5dbvgNQAzoK0zK8dox7NzDH4/LwGx0ftLj3XofzlGNsqcXWLe+3khG/ByPmhTI7ixh7WNtW2vzEqU6nj2flz70mdUZNXe1bQ/FrBKywnp5CVkZWApxbuJ/zZDsoSMhXnpk4OnzMBihDAjpQjKT5rCvCaj2ZIH6ZMVDbc/o+21IbXX1RpbKwW0S1HTSAcyctXILwgzb60+yNZhY/k6T8iOaMzC/Of9+21PLf/25vGM9++p7Ktf78PYl+13u7/tcpsYAWZ3jpKTk3sduktsWQgbGcjyO8hy0vlfKQPTVnu1bkFxqWDWs69kYOVkoz3okwOxm5n4dwAbhKAajjFCbLC45QieDuWCAABzUGaWWZh6X9z0wI+bjQIOxOoFLY1LukxkF2WAwzc51HyTjAbiG9/Y17Iw/8G4zOAcC7PfWQ3fs/H47UFmBECXsq9+e+eOswJZKxlHfSEtUlLz/iLAclFHqK1ZyNIHUj8YZiDtcAQoba+2UYzbqtQ+jb0PZuyrlEycTu17B2rd6XqjINxHo9gIyaDUPtUSUEBMny6hYWGSuGRjeGIdVcIoevOXKgNL/ubQ55JIm4ks4XwNtkZaPtL35zo5XxLtzdsu9+A1KiWwaFkJMAazMetav/fr2t8654m9iYwcbbc/xvY7MgQx+86l/t210bdVGTzw+gykReMVdv5XUQtJanvOr1IAzbOv1DCvnpEB5oPdJeTbC5EuY1IjARmwWppsgCYJDfsqT6zuz6qfzciPUhtPypnIsjtwpRR9uGGlLZ46FpjPQJqUrOt7VjOWW/132tgq9Nx+f04+2ne24ikycu//1tsfAXZbJtEa+HreuAP3/f6P64OuAxkOMtLlfVtCUX5LagbSmL838JdBex216drWXd2Xl46D+wTIAHYjD+wWVRRE9AjgrwJ4gOLOj4rIH+2+83EAfxJabwoA3ysiP7C33Wf3wDY/74zJlCI4xUKp9Tu5F34HYDb5R0PNOxCzsFKKJrh6YcMG+xbDG/l+nb7u/2/NzK39Io0tIPPr+vWX7XNdXq9/c+mo4fs31v9tq/DH+3f+GPrYfUBZEWv3sDPpWNqny0Cus4/6naUDsORAy8vHEfuSjYc8kO+fGzAwnV/1JhTsNYBvFJHPE9EM4H8nov9JRH6q+95fFJHvvHSjz+uB7QBY4lhZWHPRVEam7kllPhiApoF4I9/fLFZKUX5PXC3YVnRgtq7YftqF3gKorVqwEVvZkpLrsgOgB7J9GXrJ/vfvLweuPelo4SXkqHyi/+yteDZ7NYDWeyOHYF1DWhI30rZNP5dj354Be0inNTgZoK0UimdgNzr0G5zOXCv6+fx2zn9vvIfP6oEBYxCzurDmCcPsLtBUUuLFK3DgZa+jmYw80NlepPIkLzvQPF11XLB1RXa/fC76mqleTm5995L6qG1frAWtPSBb/y/K/2zt2+j3L6nxulQ++s+3DHr/vR7s/O+fa+x+yryyrpGPrvfFoOC5tiWNmvleH18vHwHs+F8XsK1uXd2jN48rngebM3PrdigA+OsAvgo6/Nb/OdjGHySi3w3g7wH4LhH5xcF3SjwjgFXwMsDyy76bjn42u/eZZncNP3UNos9E+nZUso/5Jh5eausmckFc44ntA5G/ydcy0r4ziragc82+PDjtravb683z/eM4x7D2TPxLj2skH7fYWPu9y+KiB9LoOx1zX7VNMf91/XCNaQxyo8Ek+gf+Sk7uqJqnxJVZyL2ZuSEiEcA/Q0RfDuDH8og1f8t95S8D+PMi8pqI/jCAHwbwjXs/+Ky9nHafJLEalPpZKu9bet0Opwtssy/Anoj1ffM1872ujGvHxV/vU9230Wet0b+/nXOAcW5d//97f6Pf3fuNLcZ5zXGNsrKjY71l9NnHPvo20zwo0/YDq2FfAwNf/3/sf3n5qP9fgeumQEYqIS/5uzTyMFs/CeCbuvWfEZHX+e33A/iac9t6J7ppjsYy8suji5EGjWLYXceZ/s133ar+01F63OJcY179TpTVSBS3iNT9+biWCfX7ZYBxCahcmoFs/3ebTe4d1xc7Lpo+r2defrk7Nl/WE91TdOth69vtiHn1y2+DgQHKwi75290G0W/KzAtE9ALA7wHwd7vvfNS9/WYAf+fcvj1zGYWN89U1gnwhKFRp2Wp/667bZiKB3gNrG0l/M/kbZNWG9sx8XF9GcS72asH6z0c3tq2zveplVO8f7cnHtjzhkn0fA9KlvtjWMdn68TEBezVg6/3TD3SGpOuv3ZBlD7KQfr/r+nXbA9bA1WcgARTWBaAdaQLbgFX6eN7gYUm4WSX+RwH8cPbBGMBfEpH/sRvV5o8Q0TcDWAD8GoCPn9vos3pgPrwHtvVZH9tTzG/HiI1dGtTV+ryNOMfQzrGS7Rt+G8RG+3Cp73FJfdpTwct//k5IBR/9A4640K9rmpiXkH2M143vhbfFvoDblFGIyN8E8M8O1vtRbb4bOjnQxfFOtAs/KsClF2Hvgm9RcosmC9l5YE2cYWFfjHiK5OyH6Flv8/y63uca7dclJvy5dU+RiaOC3y9K+HkhL4y3tW++y1ArJ28rvI2B3dIDu2W8MwxsFBLjO76H+7E1Zvw97nFtjKXi22FcbdC9L+Q97nGPD2jQvS/kk8PXgn0Qw1fmc2AgfjGemPf4jRgqW0+rdW+bhZEI6Isl0Z8Qz2/yoK98vgy0RjMt27pwRpB7StxOctPJvBtMS/Wm8RT67i/qKCt3ybpA+9Jh9PlTfuspDXD9u18kipAicKVZ/rb2jfrRYcvyW7ilNTV6/u8Z4tkZGLmRLrfAa2s9P8E5vHiOu8EFubVBOopzE2ow9o3vLfCyG2m0brQPl8bW/vr1/Thkfp3t86XH9M7E8GGX2/IVzdIetnsP5Hbd/j3yVurA3oEH+VY8H4ARbT4tPJiV1zzgof55xka5x0/LvgITgvte4DVj8L/O1ivlwpAbm/LtrECAdZNp67R0eXTD92fyUvA6B2jb/Q7X/+eH4tkCrD0Qw5njavfVWOD5ffXHpUNGX//gk5TWxZrdje3xpm1bYzbbKwW2KQOZSnsmN6EuhQAsaO6NkYws98dN2J8o83xH4514uFVgCh0dbkHMx4hJjSRkYBp/163qP9174lz7hKNAzQCIt5IU3P35eFPw8rN4b8XoO/02rll3yXF9seOSh1TfVvzh9Jfa2uLo4ToK3277e2DrPrm2p8jZELlLyK0YAVQBsqCzddfvcHnPjnbb06qn21uNIhC149N1HthTDMs3lZYjduI/A2jFbra2U5ffHEzOga1nUrZfPRvbWzf6/0uOa+yrrUH5ViEp7naVIWlH3mqYGO9IdaZGQvq2bO2ZmZDyzPXJhrO2mexDKBPg+Jm9bh13CbkRI+Dq14/fZ6rdS0KmplGE8l6fZk3Dovb/h01M+yhddCzXSMpAhNNARtl7P8pCO7JEe8Pvbb/d3m1lZJW15NZtz1E5WtcD2/XHRUMZecnx7MVFD6PRdyS1rJ5aT0KLPbUt+jYKZGbWPXB1Fvr1z4zuDQ9cbwXE7gA2CnvytPR39L71v+zz/IQi0ottN+MKvAYg1wHXSmJ2lFhibBqtbCyfiz77duls2Fs3fPsdWv2PX78HXHss7Nxx1GiobLPOA1n9Xu1Qvh4auv+9y/av/965bGwf9hDavL55DkbSD4bSiR1wMRnjHzwUXPssLCy3Y2uPVNiYvxdS817iGLDU6rgFHZU7gA2D1qxrJB/NtG+XtVF4uu2BqQcuM1Fb4BowsnNavh8RoGNd1854Y9Ezk7pe97T/bDt72G6zX38pcF3LWkZMS2MMZOPvrMGsD7/fW6zrrZVU7HmfkhqZpQ/F9ivW/swDA9p2akDn2zNgIMbuXjmtZORm3Ai/7gA2CAKNAaxjW/5imf/VPqFQLrw1iKlnYVk+Ksi1jEsZXLdzKRU/bGXav+VSilCe4Gv5eBk7uhy4zgHe5TFiX369DN+P/LFzsSUj9//n/Hb72LUEUtS2MchCElUWpg/J3OaYCiPzwDW5dls9sJqJ5AxsIx/snGk/mKb5CSGguNxgO28nnrWMwiaxBdCAF3dsrL1g9QL3pmdPy6cN8Aq5Ma0ykWmDgQ2KF68to6BAwKnN3NkNWG/eVkYamO3JrL1i0nPAdV1tmP32+LN+FFiNMXCt3/t19jv7xzgqZm3P6/rY9sonRuy5XONGRg4eaNkr9VtXIEPNPHYgNg3a66hN17ae743poCUdqd4ro5ZIHG7XB+jOwEZBrYnvwIunQyMZmVv5SEwIgRv/i1cNgpu0tUUgfS4RAQzKry4kFUkgXdcfA7FbdMwOVMeP2qsBq4xsW0I+VTo+RUr6z1u/asTCzgHXmLltScnR/u/Vgt06I9lnI0nSqnSQ4dvW2FLwpRS+zTJT44OFwIicGhm5ykZOB2A5bhQC3+AEiNxkXLG3Fc/rgYUqHzmDmYEXTwfwPLfvDZAmdk+o6n/1TzSfgTT/waI0NMoZow3/S1J8Y9lo7IvZoVaO1hMy0MonaMW+tkz+p4PWm8hIz7ZGLKyyy35mpHMM7LLjbFnX+Jgsiqd0JaqlmHRGbwMvG9bZRkrpaqGIGExSyA/l/S4+LLeZyOaPevbVykjJkz175ZLyJNBYjgAHJHZq4VYAfmdg6yAQQi8hB9LRsy+eGDzlpxQTwkQr/+th6p5qBbzMKF1LRya0jdCK97xcsOVu7KVrpWT1bfKYWqgeFwbLW9m6dpvt9v26W8jIPpvvj/gp8rEHtvZz/z/rGLPG9TKjSsnV8bjC4osAbXDtdZdT9cLyH7vah/KQZJQ2yM7IH/2VB/JEiFGLoHkSsOhUgsW8t4xkqg9+SVGvlfnKN0Kwex3YKKhKSG9G8nTQLOQ0I0wHZV6OfVn2MQRWqh0YIYPWwYFXAbLccObAhakZ6+Lu+mrP++5iuSF9jYlJbIFrT1JyYMSdnn6tQW+AVYFrzFba/6/L7fprQezSsgNvG0epSZGEbda19d6Oa4vNbR1v7yOOjrePUd/CPlK+tquHk137FEEp7WYl7aGobUwKswpEmJ1aeJgYL/PrMbdXYm3TtKSmvXsWprsTwfnulagzdusxuq5FN/HAblNGceHM3A8AfgQ6mcdnAHyriPzC3nafj4GNTHwroZjmjpFV9qVPJG4yNYFa8CreQmfgm4lvJRTa0KjW9Vjkp6nk0QcAlKFwel9sLzgw0snG/R97OslJxragc1z0OdpGXd4GqnOgtXXzbwFZ69llUEIFtD0w86D8pixsG7Q3/x1A7hN5wcgN+rDK8rEbBZWcX4rMxKi0McltrJr4cyBw7LORtd0eJsZxYaTse/FEYGFwkhULC9MBcTmCWPeJcSjDShdicAsAEwHSTbKQl8zM/R0Afl1EvoqIvg3AnwDwrXsbfXYTv+2sXc3Jyr5mZVihfRqFzLy4k4yHiQuYzcGXURBmZkwuA2klFEyuBmxUoLglIfaOjtddrjkwQopOQiqA2FZ74HoK+9piKP4z3vl+v92t6M38Wg5R1+lvjcFsn5U9jYVZeFAuD643nYTFtwFb7v0vSV3bkpKJnJnBlApwWds8dO3XWFiYGCmmTnUQZGL4OVJ1N2zi59BN/PHmAEa4jYS8cGbubwHwPXn5RwF8LxGR9JNsung+AGMCz8rAfI/74Ex7BTJWuciVffHkMpEOtLz/dZi4gFbvfwVqM5AENOnwAl4puQbRVmen1GYpvdzofRUOhBH0VfnYS8e1b7T+33Y7ft3ofXtT73/frzsXPXhtsS7PzDzz6lnZtqe2PvZRNrKuG+8/75ZStL0vUkqr6075Myoz/yT0pRR9JlJVQPXBDMwOzvowGXmYGMfIkCSIzv/iPFNRyEAsKRQFIylmNhYykCVNkF0gmS+KG9U+XjAz91cC+EUAEJGFiD4L4Cvw/7f3tjGTLNd52HOqemb3EmTkQDcCDYn6MHwdhOEfCgwVwUDEIHJAM4L4h0koQ4aVMCHMWAkMWz8CC3ACGgFsBZGgQFSUC4uwZTiWrUSwLgIKgj8kSDZMmTQlWaYEBwxlx9chJNOx5Q/e3Zmuc/Lj1Kk6VV3d0+/uvPvuJu8B3p3unt6Z7p7qp5/nOaeqgC+ufeYuACOi9wL4fqj98SdF5I+v7PcBAD8G4N8SkU+P9in7ghAmfZKMs5CHYtCHSZ9IBmbGvigQjjE0T7HjFBXIst+w5n/FoA2/yUC6J2lTxOr8j2X1/b4f18tJu9kK0xJkv2Lsf/U3tY9LvlfPtraYWcNidjb+6E6/sq/6umBd2GZldjwjidqf/8gHW55v3X8vCxv9xj4LCaAWswKrmcgYgMitD3aIAY9nLsemPlj74D3OWj4RJwUyYUAmybN9M1gIcYpgNjCrj0c/GfS1CllvUEbxMhH5+/5VEXm1fNLlmblHB7z55RcBLKPmxwD8LgCvA/gUEb0mIr/S7fcWAP8VgB5V1z64ZCG9ma8AVgEqRmqAy7wvAzEDrwdTC2RG0Q8xqP+QpWfvfymAdBlIoM56zPV1LbZAzHtflD2QlJZel66vMbAxoxiVFQC9hLoMWgZWN87OAQj5XDhx/V72bEy3+YlwR6zM9l2TkFvn37PKhaQM1JzPHjN/GOYxudnjaar+l89ExoEPdgi1oPUQCQdubY8HU8BpZm3DGby0DgyI0cBMEGPmeTMD0wHCtSN3vLaJL7h4VjF8AAAgAElEQVSJif9FEXnXxY8U+adE9DPQmbk9gL0O4G0AXieiCcCXQeeHXI09DOzdAD4nIp8HACL6UahW/ZVuvz8G4HsAfNeOz9SnlAOwKiFjASgKKOBl0tF7X8cYmgZg7KuXj4egDUqrn5f+F5hrBtL+BuwLXLNTkviJC1rNl2n8LrEs3pKBrX1GXaahGT+6sW3Zg5bd3P7G3stWOOg1CAe9wQAFtZCvTQ9mS0Brzf89ErK/BuMsKrnrvD/sYVSykTkjadnonoV51m5A1rYxZWLWK+QQAg6BMTsZqfIx4jhxacspg5cBGcAIEtwNywgUkRJDmABUOVkY2FWmBRTQFUx8IvrXAJwzeNnM3H+i2+01AL8PwN8A8AEAf3XL/wL2AVjRpTleB/AN3cG9E8Db8ky7qwBGRB8G8GEAiG9+ubAtoPZnJEsZ5xov8728dBx5X0f3p42klY+HWD2vSK3/RWleyIAKWNvsa09QVAZAua6HOTn/CyiyseDWkoH52Mogbi2vgZaBVTsJyb47n1Ldz7rjcODyWSMwa2Wj/t9eYgJtWcbe6zCU0dlDtd/hqaKwMG4ykQXI0gzEY/HB9OGiha2WhTQZecjm/oKFZQAzL0ymrAoybob8oNCJnQM41OujsvKgoHsNBua/+Oliz8zcPwzgzxDR56DM64OXPnQPgG3qUlKY/z7smAY86+FXAeDhV/x2mY716w24ikR0zEuBS7cZoL10iA1oHafYyMdDDAv5aBmgkJ/MMXT+F3fLBl42nA6n5skMoKsHa2+0tZslBJWRDXh572sBZPn/ueVLpRL+RrYHAUU3UJ4DMQOrut4+uXvJ5ScVjqh1cAZgBmqSBBy4sDMDM/PNlrKySwRgWWc2uh4j1unPfRTb/SLbej9OjGg9MpLPRq60neyDxWzgkz1AnIw8xIADC2JS1vU4S0fPwI5zAE9SAEvJSACOAM+ElBgAgxgIFMEioPLbhCuWUTz9kNI7Z+Z+BOA/vMnn7gEw06UWXwXg/3brbwHwDgA/ky/YWwG8RkTfumnkE0pGxZhu6TqRWZMHrxAVvKZjxEMHXp59PTBZmRuKPeEOkZryCSurUDmQ2Vd+9QZ+k4HM602m6gnGBaNIQOol5Nj7Whtn4FKphLEtz6zIgRigoOUBy0BqMRXcRhhwhUNQ8DoouJEDtB7M1Ac0qckrrGyUpdx3PXwW0k6lH9Z7fC7tw6f5ba0WzJVS2Lr12pDShg6AMCKFIoljEATuZaSU5WOUIiMT63JiwUtHPeNHyD2FspTs+0ZIzlBSpqyFMF2NgF0nC3kbsQfAPgXgFSL6OgD/EErrfo+9KSK/CeBlW8/m3HddzkKiyESgPuWtZKIa9dr4poOWVBxi6JhX630p+6JqlEZjXrWBU2ZgVv9l/ldpjM7AH6WQiy9i6xtARpEQOECiQGJA4lRkJFCZx029ry1va41tGWgVYAu0YF09K9uKiFBu/CIfExdAkyiFoRmYGZCVa+NY2SoTu6EX1jNPixBbEO9DurIJPS9e7GOV+OUhF133s1z4GaYJ0T0wY/bCzLwPiTDl5QN75qVe2MyiPlj+MxmpblQFMQqkZn8ZjLHKy+vg13UY2G3FRQDL9RjfCeCnoA/Bj4vIZzvteuMgIkyH+kwdeWDFsLeMYycbH0wBLx3dtmj+VyiyURlY0L6XTj4SkfoXzAsWVoDLeWBWQrFo4Dd8OlHQm7h27B4B1/JuXcs4jrwtz7ZGTKsBsbyPHtvICxszl8q+4NgXF1DzgEaBIFGZmSRp9vGsbMsrs0PaGrF1xEjtmm+F/oaxW29fSymF88CKzeDZF88AH/SB6GRkDATiLB2T4BDUA5szGztGwZuOysCKie//3HlzIBBpdpJnAQcpQMZ5BAwdTecaEhIvNoABgIh8AsAnum1/dGXf9+z6ZkIplQCqz2GsjIga8Iod66rgVdnXg8zAJueBHWIGrdDKR838OdByRr7M56Z8wmcgAZQi1s3yiUj9RMpFPlIkBJscrYAYUKTjoA7KtvttWzLRs6010KIQnpiBxcwAWgYWMwPTdWEurEv35by9gplnZRQzuEcMvLK2DuzS9fFMtFyf7pz2+GDMNhqFy0R25RTU+2C5TXkZadnIJKgeLQvOLIWFJdE2nI7TAsAA4I3BcYag8pFnASLAVgbEchUJKSKQ8/nyjncUd9oX0hiYeWBlPKTOxPey8aVjxJuOsYCXbTPWVV/zX/bEyl9w8jHNKh95bmRkkQadgQ9UY/dG52pSLYnKx2xHtyAG+BbX31u9Kb1HJnrg6kFryMBiO1fnJRDjJApWpZO7dAwsOtCqYDZiZWvy0urLPJiNrk9/jXo26n+LvWEPqTqwoTPyzQebz83oJWJWhJORVtAai3VBTRudQ8CDKEgMHKeAmQUvHce35okI50DgWc8tzazV/hnIArIHdi0G9qJLyNsKImA6tA2ryMjMvigDkAev3v8y496eag+mgIfTkn2VyntkOt/Lx/zklPOp8b+8gc+uMdsybwBaiKS+V04GhJi70iS/j+szyUt5BCwLTfsb86bA5fcvZSyRQLEuN79Vt26MykRXZWHcgFoDTIlAQSBxH5AhYsHKDMx453Xyx+/PSRNCKz5Y/k2D+01LJlJPdumDnU9AVPOeeIY4GRlDALFUIBM189ULUxbGmWEeWPDSITrmpVJyHpzvGSj3iogUI19Yyg9zHfwaDKv+HMWdDqczHd2IrEStDxZqNyH7e9OxMq6XjlNhYodIClou8/gwBjycYse+cmdZIHsVTj7mZVnxv4A2vd7HpaLW0ABZZWGAMTGgLxQYVcZf8rfiMe4CrR6wFlIy9CAQ6rm7vsSSJZaef8jApOzLAE3BzPlejpXZtnRKDZABaFiZVqDHAmb9Nd+6VqN9RmHyt1lvSiq0PfQ+mC7Pxf8qMpJnUDhquxMFr0jAFJDbqIIxs+AQtA2z1OzjKEqn75lwsgcAOwDzHuG16sBe8CzkrQRRzTgCldobcLUV9rVcove9DiHgQTbvzQMrmciOfZn5HS37mBteKx/rk7Xxv7oxom4ymCFFbWTqfVkOqQUxAIgrM8xck20ZcLWfYZ8dClCtDjXTDoRQ5GMwJprZl4IUgZJAEqnRHDdYWaysrAxB1LMyoIDZpesFLGW1Xb894RM2/rengQ9mPTlqAmgGeMo+mMtCOhZ2iASWmoV8IAEsKFIyTcbC6jkuxtGfKRe8cpaPNQspLFfCr3sGNgzKDKwYr6G+9sPitNnG6oE9nGKRiw/KayyZxxH7igRtYKljXyYf55NKgs7/sga8GKFgpai1nKcZ94Ea6WhGvsmoUYyM9ZsAVzyGTdAywPIA1vpF24zFXwcvpYW5AFoFM8lsq7KydBrLyxDDUF5yqizMvnMtRuUSo1q3ci6FQVYgtnNpjHyg9cHOJ+2PeD5o6s/VgiHNQJgRaVqwsEg1I/lgUm/vzIKDBDzc7DyjYe3Z+k6a0V9eRe6zkLcZgQgvZRN/NBlt30lb2ddUwSxWtvVgao37B1PYZl9pzk/OtgtRIx/n88L/AqqUGJVUXDznLB0D1Deq2chljKrknwa44jEuQMsDlq3rd7Wva+GBWzOPLlPrAMyDWTqlwsooD/2yBmRrPhkiLcBs6/rtKWRdnFvp81qN/FqRrw80zGfQdKwy0tpSBi7iCeAZcZqGLCwJNOsoWULmY2QRJCGwBOviuLhHrHLfwMtnK+11MWHzk8R9FnIcgVC0/gjAbGwvY12+dOLhVH0vlY/kzHutui9D966xL55VPpp/Mc9AXz4xn2r914pZ7zNwfVAIQEqLzKOBGNC7XvnadHLnSYErHsOCbYXDtNim31WZWGV+21PUW08FdszLrpMHNJWFs0qwDFqcGOnETwRknFgH93NgtnUNh6UkA3bp69mW71VAQ5GOTkbOZ2CeQSHLRzPzU1xlYYegda+HSHgoejxJBNyDbRm4eEIMjBhSAa5tANv8+XbGfRZyGCEQXjrGAl79ZLR1sLfYeGA9ePms44P8/pTB6lCAbIV9OfO+ySjNZycfuVRo+yexH41ii4mFWIfPqds8oNUYFZD2N56BVA9m4RCHwBWOU8O2ynLebt9lI+LqcdyMgYUGwFJzXfg0gwIXWSgZzHTbEsj4nIYeGU7QzKQzrm095uvmHyJr/TrtN1l7rz8/M/IXPth8Bk2HRkaSL2rNwLXGwg5Bs4cxAA8nfVAkAR4OCnUDLR/wMaQFgAEoGcvEsntMt+2LcA9gwwgEvMkB2NIDiwsJeQiVZXnwejBFPMxG/pRl4xSpSMjDFvvKZj7P58zA8rRZrjN3ufEcmF08P5d1LH6XjUfKUm4eBi/T/qFlD3XZgKo1p+MhLqSiB654mKp0NGBzoFXY2UBGlmPyWUgXnplyvsFDudlTYVe2nc8zKIYFkJm0DJGQzqkx79MJiMdcd4ZQgEuS5PGvrDhMXzi117Rnr1vhJXApB8k+WEiMdJ4RjgMZOZ8h81lHGQ5cuhT1LOwQSIfYgiAKYYJKRstKjiLm6nq7N8zMVwBLQ/aVWK42IOuL3hfyViIEwpsf1q/vJ/mcQmVixe+yTKOXjKGuW79Hk4/WeTYGQgQX0GpMfG/eJ5WNrXxsJWTp4L0hK7eiv4FiNzX8qDLey8V4jPBZRb9uQBXyqweuIh0daNn7+j1LQ7/8Vh2YefN8aNwb2Hdgxon1WPI+qQGygHSelYnFoIAWa0mFZ2M9kFkG89I13RuSGBJ8cmbQBjgB8wl0OGibmQ7AfGrN/EQtC4sBEkKuBdOyPxaVkgDAQup9hYDkTiEYgDEaS2Tc7ciVllwFwe4Z2DACUVNt7EGrsLCYByaMtareAMzAy4Bs6kDLWJfJSaRZu/R33ldhX/lpCmY1LbN85PPcyEegNasBvYlGPoyWT9TlknXcuKEWI0Zs+Fy15quClgHVcv2wYFqepZXvXsjIJS2IQAPkQC2d8NeHT3MDZnSei5Q0JjZ8TaxM7JRy+QUN/TFv5PclKVvX1X6PS1FKZQ7ugZXbRDxwaSvGwHA4VhbGM3JnxcrCKCDGI6ZAYKlSElAgO3YPCjtEG04nJAWzQHpvnBI34DXn4tdyzlcw8UVEu9Y9p3GnAPamNRM/91c04LJZXaaomRrNPMYCZMcYsnGf5WMnHYnnsfeV2Zf5GMKVgdm2Xj725QJb44EBahYH8MWsI4BN4NojF2N+DcdpCFxDRlYkZAaqEAEDsbBu4hOAZoRSTgXYyo1+mMDnecG4QmJwDIWR0UmBLZ3msi7RasE0YwlgXEPGCl1bGcnRte2Dk4CSZjopcPn+4oMdUGQkJ0Y4n6oHZgwsb5PzKfemDtULS0HXKRRDXys1BAzgIHZVHQBxvi+s5wMRIjMiaefuQJQzlreZhcQ9AxtFIODNDya3biBW+4rV6ahyzUyRiqEAmQevyQFeYXPZuC+V0fNpwb7E/K9s3kve1sqGFrRuOpx0yNmytSe/HxFiqwjVWNdILoajl45xISULKyvLsQAWhbwMjAGslr/XbWV8LN9XsE78GlIqQCUZrCT7SBRDYWQphmz2q4xUM7+VlQCaYthq6lcgW8tI9td4b/Q+WN8eZD4DISqQ5WXbFg5HgFxGkgLAEcQBcZoa5lVrg61jf07Y2LhppNf3TIKQVHKemXEI2hmcRYtf9fPq+d9nIW8xAikYWdiMQTrkDZV1Ay7zwLwXNgVagJcvoZgIQDoBaQalc+uBdYWrxr5sJIpSvNo03DoChZcUW09+AMXIthvIbjJ/Q/UjQ+xhXSO5GI+H8v6qJ3Y4tqDllgs78YxsFMa+ukEfUWrpdDnGM0K+bsbACpAZcMWIFFoZCaCyoI6NJSTEYyheGEOnEZMkCFgy4v46b4WOYzaQjinPvWi/uTtHmc96vTILQwjqhRHlh2ZmXykokNEJUzyCiXBYHE4FseJ95Sz6mRnnQDizAhkH4CAGYLVPpcW1GNhNJnNeCyJ6G3TW7bdCq4deFZHv7/Z5D4CfAPBredOPi8hHtz73TrsSPcwAVthXBi0/DXsI1f/qgSzSGLwM1GDSMZ0VtJwHhnlumZexr9wg+XRG8h6Ok497szJWLiFJCojp9sq2AKwC15rXtca6TC7a9lXgmo5L0Iq2XCXkKnhZeAZm7Cu1GVxMRzW7mUHxtAAy9qwrhsrOOjYGWNeiJRsrstIBGYAGzPrrvaewVRIXMFO5y42MpNNZpwbM520szLwwnawms6/sgZmUFAo4hAk2AokIwIScSVUQ09siIHD2vpgQiBFy38lzHieMWcChgpexsGt1JbpSX8gZwB8Wkc/kGcz+FhH9pX52MwA/JyLfsvdDn4tKfKCO5RTy00b7Mvpp0eqIE4Gqv1VkYxkPHdX3mk8FvBrpmM7guc08FvZVillbI1pSauRjLyX7bKTPjNnysoP0SsaxY10mGb3X1bOuHtQadtYDl02mEmPZVsALKOv1OFsga57I1hcQKAXAWid1qmAWgt4EIRQgM7ZlfwW4YkQ6nfP3OvDK3ljCrICeyytgPRuA4i9WQ38JUltGviQGYsy1ZpwTBXmZKwPn7NWFGKp0DDE/BAJwPuRrGBBiLOwLAMRADAAmINIEIfVtAUKdn0MQxGyViEiMmHIlfxKkIDiI4JyXrZLk6gwMuIqEFJEvAPhCXv7nRPSr0AmDegC7UdypB2ZdJyzdGwlVPpZi1FDAzKZFq+URKIzLMjqTK5lQw/4ESidn4J9qsWr+k/kMOZ+L98Wnc2vep86878Cq913M79Ll9czjCLjWKul7UDKJOGJdFeBU1tB0VJ8mRNDhUMFqOlTGFWLjiQHrJr6dSel6pReh9A8Ecy4r0IcBHQ6a2XVAZtKSY0DKiQQ+1em7Qga1eo1d6UZk4JSAY0TfUbyUWACrmcl+mOn+t4yD30oS6wQlicGxY2FFimcWa5LSgC0b+kRB2x8AEKkfFkNlvBCQOIBlZVEzCyhLysDVA0sCHEJmYXmeTQBluKHrVFGIZumvGET0tdAJPkZzyH4jEf0SdN6N7xKRz2591t1mIbshpYEWxHrgKiyrlEwgG/2uZAIMSieVLdn3KsWr6VSko4LWqck6eu+Lz3MtAzifqxfWjVDgY01aGojZskXfX+9SecRIMhYgM/A6TAjHQwUnAzADrql7HRn5tlxPoD2hIh2XErIsp9SAmIFnAbIQgfmMmOvSkmdjHZgZ+yrXOfnRKgg4pcLDjI0BaDK+o+u/FeX3DlVGSux6ZOQkxKL9zKd6jvlhQUCWkpSBLBS3K8ZjATE3QxpCXg/QkrIYgIkjZhYchBz76sDLiPS1+kLuT1htzswNAET0ZgD/G4A/KCL/rPv/nwHwNSLyL4jofQD+IoBXtr7w7jwwoJj4RT4G88HquF0xII9nj8K6DMjMBzMGtgCvblmzjs64X2Ffqatf8lOpefkI1O4r/eQWQCsjLwEXgItFqZVhHRpAa1iXk4s0HRSoDscGuHSfOPbDslwUIpU+W79hN5O5DTGjNXUnlZaHYy0rMCALoTATmU8IIaqs9GysgFqVlBZio7YGHkpK6ydpt50kWQCXZ8T6G3FJXNiAigZaRUYmRjqdqz9npR8hLFgY3MOgSEk9wMX8Ux7Esm+PQMA5MzKizMYE5Z5ITDhEZPPevDAAscrIKxGwmwDY5szcRHSAgtefFZEfX35XBTQR+QQR/SARvSwiX1z7zOeGgVktGAFlxuw6gxCVdQ9ktWg130w9eCXXWdtqvnrj3jKRGdRSLlxdY19N15kVSemj+F/uhumHcO6Hu4mNv9XWdl0CL5oODeui6ZjXK3CNWJgBllA1metJdEDmJzq1ERhCBIQRRBTMpkPN6IbYAlnxi/INniXKPm5Us5KMGRETEmb9vyYpMyDZ5/lfp/8tfLBlMbMPFi3r2LEwPp+L5K3+3amAFTn21UhJyuyLAiRpoSuhBbEQAgCqQMaVhYXcCTyVV60FE6EyDYzVgAHX8sDkKl2JSMf2+WEAvyoi37uyz1sB/LqICBG9G3ra/3jrc+80C2mDDpZtoDJ3YwB0lNYOuIhQ/K5S51Uyi9W0L6UT6aRPvtNjyOmR/j221zeaTKSNmMCnGWwycoV9WfnEVt1ROa+d4OWHvGm9rDAEr/jw2ErGAesqAObBzQDFQCtMBbgKWFHQ97fOS0TnQwSaYYkQtJtWGLCvlpm0bMy8MQoBW5PZN8XDGcTMF+NmvA/O7Kt6knsq8BXI2jIOz8I4aK8Ck7aWKY2xM/T76wUAx5YZyYQGxBAmHMKEIDr4ZWFhEEQQUgY0zqNaMHIGU7R/pQ2KwHKlLOTNGNhW/E4AvxfALxPRL+ZtfwTAVwOAiPwQgA8A+AgRzdA5TD4ozRCzy7hTADv6G7tsryBmzEtpc+t/WbbRMozguWVePXh1vpdlHXvj3oOYzzyusa+18DeNrQP1BnpS8JoeHsd+1/HhOuvy4JaBS8JUwAuFdWXZGCqQyYqMJGF96rvZeAqghUnHhhd1oRsgKyUbS5aCoL5QgDZM74t5QGPMCK7pcn43HjEEMd++Rr/JWmyxMEkJfJoRXP1aY+iXLwkLPwzo5J0BJVQWYwKmMMHGvE8iSJl5eSBrwEsUAn2rvI4FJgsJ/4Sf89dwQdWKyA8A+IGbfO4demDUABgAhFz7YqAVHOOqsxzXIaGRanlENelzuYSBl5n2jnG1vleVjmbcFxm5g33pe2OavTY5xpOAV2VbDrwePmwl44OH66xrOgLTpGzLQCtMClpxauSjZ2H14POy1JsNI/ZVBvTTCvTyStRkPEdszF24hZycgCcGMWE/Ocj6PaTdkur/i5Fq0mbEwiKXTGntO3qqWUV/jr4d4GF+RbmW5ahscuXpiBgmhBAKG+slpLIuAzACd/OJ0rWmtr0fjWIZVssF1B/PNHvvgQU44AJcMaoDL7fegJfJRjPtTUJmFrYmHdPp3AKaK2K9aTciYB28TEr2nteabByBVzg+rJLx+LBlXceHwDQpWHngMsbjGNiCiekBj0/IgVeZ0bxIyAxaHNXYtxKCMIGmSQePPD1q2Zhdp6DlpwQom8Gj8t4IxChpXZyt67WuOckRiO0NK44NqCNUpE7cagEuL6SkAM15AWiAbAFikmvphEGi4+ljOgJhwhQmxKhzhSbWJGNigYAyeOXrkV/tDK9VRnElCXkrcadZSM/APIgtPbAOuHzHbBtdYj679wfglZfNtC++V8468lmBak06GsgBWGVfl4Y3vmTYl7G6tgx7B14qG7PflZfpwUst6zocK3j1wFVkZKwAFpyBvwZinnnZq8nIPKifFBBTILM+gWZiq98TWoYSYpGQkreFh4AHsTi4mUphKaaFsb8XxMzc71lYAJqMJICFoV9/Z6ufy/8vnw9labxoFx7EZNJ9IzsQE/UT47QAskg6IGKVkcrjpPn868Q9gA2Cct1WaLZVU5+QPa58c2gmkTNIpSWYpVMtXjXPy4GXZRw5L8vpEfh0xvzotKj5MiArJj637MvAa9d5boBXcB7PrlKJAXjRg5eqB9axMImHFrhiBbIiH8NUQcuzMNQn+vKkrAAZhTXoIH5cwSyDVQNkicrnE4AQYwEq/cBx/0sPYlvXPWEG5eFkAnsX7MmYmK/MD1CgDMepSMm+Vs3WkxVoQ68P52UDtOZS8kGN/SLBRa+lAzIR/T4EleRTftAkl31koWZKNcb1PLB7CTkIAnB0HNcDl78RzOvyT/cRE7M6r8K25nP1vArzqpX3fDovfK9R1tGYl59dx+IS++rBy29vhncugw3WoZ/Xso2VXQ3AyxjZ8YF6XfE4BC9lYRMkegM/VE+FUW6GtaZrDFl/O5WIIeTfLrCm16yAOH8+5fIBW0c6qTcGNKDV1EnlTuPh2I4/VvZNCcL5urHa/yYtFby4Tuedf4s1EFuwsJyIsc8xKVn8NkxNVrL+vvWxHKyI1Zn3zbfm86NDluFABS3PxjhBQgSRMjKhgNjIfv10/9C5FgN7EsvkWcWdAlgU5ycIsp9iXVMyUJX59gzEMnDlIXu9ZOQsDXvPq2Fe8xn86NEQvFZ9r1TB6ybScXHOmX3149WvdQ/qs43qZ1XPawFe5nfFYwawQwtc8VAZl22D3t8GWl6S+LOyG6Mte5GB5A86GzU0g0mcASM5lmdsDFBJecSi25IAAKeSRyTU7KS1GmZGOHQTVWKGJL12fJpzOYRUFnbht9qSkozMhIChHzaOR5lBuuh7MiAD9XR0D/AsIQ2wwqTsMiiYwbFnAAXI/FW8CoCxNEzzeYu7m5lbWMsf8rJ/LaAlXEHLso4euLKcrFX1GcAcC3sS8Op9LwWz6/le+r4bTNC9Nt2DLCOZSyUawz4D1hC84lGf+NOxBS8HZimbv4kVtNQURjGFbUSDVRWZX0vdHuUUfyAkaNKFaEKcLBsZgBQLkFGWqcUPQ/WEmmYCaOdwoABazNfe/DAFyDw4YmrH9Te2dS0/LGWPzbKgEnl4g7dzClQQk3wOdj6wV+sUzykXHM9F6hdZGRT8JUwK/JxK0oXytYR/ladnTsor7hnYMkRA82O33qbkyfsplunyLCwPiVNYVwYuWGnE6VEulTg1npcHL/O/DLxMKpqp/6TgtRX9lGa972VDPlufx3CYXB3XsTXsPXiZWR+PFaxMQsaDysVcsJoycKUMVAXMRNqsVoavvpTQvBWrI/dZ45SHSrZUvwRC9JlOoEpKQCvSgTGI9aMgZCALBx1fPxxVwsmhbcY2SitxKFIy3XBMq70gBgAxHwc7Rjajv7keIRxT8cTIgwJzN4lyymUveh+IcGFfQqQyMlTpT+7aNgmX7RrQnRfiPgu5EqLGe98tBWhBq2dhWVYOWVfxuE4FvMzA9+CV3jgtmJcxLg9eW/VefR9Ii37wvLWSiTozUDvlWW/aqzFvRaiHUmlPD15qmdcAvEwySk7HWxq+DEEslXlpYaQ0hZGXmm2ANIXHyrzqK5PerPJeQ1QAACAASURBVEyEmMeDFwraT9JKZlBZXgEx7mSh7yyd20dhX+41xADhDPpZSlY2Njb061csf8ctEPPdmer1mBYg1mdNg51Pc27cnmNhYwf1xnw9nT0MODMvKzwGGvDSTPIVAAz3WchxCIPONT1unYIb6dgXSM4zUCbhSEvWVfo2nhtw67ONa7JxD/NaA649EZy0WUrI2LCuEEMx7RWwHhYWVrKN06GVjfFQwErioUhIKeAleRC8ysA880pSAQwABLKaiVTJqPBTe06gpPiNiekkrjoAX2Fjk7Kj8tHuxiOgdrdpRrjgMvorOCEcc6nLQdlPOE5DKUkcCrjdhIWV4ZDqlrbCP8+aFDvQKmN9dWFe6pQ/UyVkBq7UAlfDxmz+yTADk/ZwsB4URTY6BibuwXANCanjGd4D2DJ6CQlUNtaAmHYOljy6QQNcNpxvx7q8pPSs6hrg5YFrNJHqKEbe1yjrOJKOJeOYi1LpwcPKvI4PtsErM55zZl06a40xsMrE1AOrgCU5G+k7Bpsn5jsIx1xGYRKyMjD1woQIAimvE5CHUZ6K92UZR3EtsQGxUdPJN/tISvZZSWNh3gvbwrH+N22BbJ+c3DK9Z6iHFw6dZCwsrLIxOZ/UD7N+pHMeZSRGlFmPGvAK7TW7goQU3EvIYZTRIyycgS/uScusQ/XaMC0NcNnrCutadA8qMnGZbRyBVzqlRjKOhsy5eJ5WE9R5X71xb1lHk5FVOh5LxtH/0aGyKyuT6MErISCxDoh3ZicbZQlkBlrnxHVoYm5H+PShg07W5UMMIEhhYAxxEhLdHIhVUnoQs9onyKTt4yAFrDxLIWNkWUoaA7OsJA9YGKUAm/mCYhii2KisQvev5RQAIzFASYBjHIJYa+DXYDte1gERY+IySe6QjeVO8AXI8sgdUgaizKUZeTSRxsgHWnvmSUOkKdZ93mIXgBHRewF8P7QXw58UkT/evf+HAPxn0AfMPwLwn4rI39/8UBHg8RvtJk4NtRb3w0ryQOaAKw9f7FmXAVHDuk5zU6Tq9zEAq9Pcj1lXlY+drxFD8Uva7X1fyBXvKxv3Ogrr1EpH73s5UJMQq881HRfLCaECl6BhX2dugUv34wJYZuyzY2AGZNExMBs1N5AOrmcDUEqoJn7MoGUsrPzW2leoATHAeWLGwKdjlZB2Y59PkBBA0wHhmBA5g0IIkHxNRywscJWRIRLWiMXi9y3QBaD0p2SkEyDZ4wTmXIeGUkyrbUaPLaY0KPmwz8+ZPs/Gzid9cBX2ddaHV9RlcWO4ydoIulcx8V9wD4yIIoCPAfhdAF4H8Ckieq0bjP8XALxLRL5ERB8B8D0A/uOtzxVhNdhtvR/dE4C4IYpNQoo1YL/NsS4vB71klJQWFfathEyrknENuCz6qewBNfDLshu00N7z3pev+WrGkrIRDAa+l2UYrTRiDbzmDrRmlsK8PHDZEMWctwFYgJiPEMgGUdCp7wLhzLp8DvoqIafhJc9E7a9ZqcPoQCwXcCLXoZGome09IjmctbSCGTYkj9XVMevEHt4La697LWylENDPuDP6jctorg7IekmpYJY/131n4LZdWImOMUdJjMicj9+dYwgtkIWoyQ83h0EZxSNfR0ELYnINBvb/AQn5bgCfE5HPAwAR/SiA98MNxi8iP+32/ySAb7/4qczgN/5lt62CmPgG62TEAriyrOxBKTXgtM/vMsm4Blxb1fb2PqNlXm0Ffluj5L2vsj5gXwvp6CrsJR51CAYz61fAa07Kqs55+q1zYpyTgtU5SdmPbaYbaeVjGWfdKllTHe7oTFJmjzqTMjEOAEfCAQFMy3IMNZutOjYghkmLRKMUFk6iCYpGSroJZe1vwcKcF1auezbz7Tdp5yWRVfnYNE9UIEuZcYcoEKYiKc3c18+oJR4GVsGVfDSS8jDl16w6QmiBLHd8t9mOkMdR62eRao76Cua7yPqD+3mIPQD2lQD+gVt/HcA3bOz/IQA/efFTOwbmwUvfbkGrSMrOD1tIwcbXenLJqK9t16G+oE+f4JI9ksrCllJyUDrRsS9jEZV11dovyrMH0VT7N0qIjWkvOeOYMsHowcuMfA9aZxYFsvxqoMXdHIN+slSkauQ30+Ax4Uw6j2cSQorQVxEc8g3GDWgBJDoLDwkQcnYS1v9vOqJUpEcGTfnGPpybrGSZXHaDha3JyPJbrTyolgWceh4pJdgs656NmaSMx6idydmz8Gy0d5LSszGOoXhjFEMFst73KqN4tAwsN7Z6uNdiYC94FnKUDBrqCiL6dgDvAvBNK+9/GMCHAeBtX/HlCmB9sWKqxvnCBzMAs4lSBwZ8z7p8fVcZKrqTjOmcVoHLjmVYJ5Sp/9owxSMzlxzb0rHUx95XmSjVZSJtPC+EqQy14otUz96w78BrZs1CPp4ZZ2Y8mlvgKq/MZZJUYNvEB1AmI7YZ1FmgQJbnLnwoAXofq6Qc9Aa0K4Oj1awhG9DTUaWkMGiaQHyATIdqdM+VjfUsjINjX4PShktG/vB3T8kx6lCATGJo2Jh9vknKUuaRuAz9Iykb+UcFscCMmEtCJANYAbLYjmjb+F+5TS1GgA3xKgwMDPDpZkXAzzL2ANjrAN7m1r8KOuVRE0T0zQC+G8A3icjj/n0AyDOUvAoAX//KV4t0EnLogzkAM4+rTHnWyEBeeF39e7WztlQAY2Nh0jyB9XvWSyY4m7kGYmvRFK86+WivhY2N2Fce+tk8MN8Z2/d1RDxiFse4eAlep9SC1mO3bNPTm5S0qeqNefUgVsFLh/oOXKXjOQMXC8BZbqZ8b3G0Ho1LECMCZiFMQRkXOOVRLmaVkmECHSQPm8TZ1D4OWZhPkPQyUjOT1QcbRQ9eTQf+/BqaJQYSIFGnwktIOot4KZ1x2U8o0ytgZcDFS+CydX3YnbVLWT8A5IaJfw0PTCAvvIT8FIBXiOjrAPxDAB8E8Hv8DkT0TgD/M4D3ishv7PpmlnUTHyiZx3YkiHZo5xFwleGgs9c1Yl0jr8uAzQNXO/JElYjFG8My07gVI/no/5Aza559GSMroOWkI7oi1TmXSqyBV8++5t4DS3WGm8T1bxTR5iTIQ3wHIiTRZY4KYClfmwqElb14ECMAs3UIz34YYu5GY1IyTDkreVDvczqoqR1j2dZfz15G8g2qAUa+mA6rYzIys+6UEJjyQIwMnNCwMU6CeIyQdM6vLRtrGVfSkogOyNjaTJ7GrYL0tom/Ph7SDUIAucLnENHbAPwIgLdCb51XReT7u30IWu3wPgBfAvAdIvKZrc+9CGAiMhPRdwL4KWgZxcdF5LNE9FEAnxaR1wD89wDeDODH8hAr/5eIfOv2B1cPzGeCSteQFdCS5KY7y8DVjGXvzPw1r4vPaRW41jKONjqnRShPU6lOSDO0VWfeh459OfkY7GabbNagyr5gE3CYdIyOheUMZGK4LCPy+jp49ezLfDEDrNOs5zlfADCbQOI4BcRAOLNKySSUZ47ON3sGLm6YqoIYkdbelGnEiNQPiwztNpbPOQ+lRIdjy8KYIeezXrv5jJBv+F5G4oxNpmy/cc+8mwl1uzaAhFzhL6AoCOy6HzlZCag3pmAWOtPevSZ7bYEsOFbJDsDCoF0JtC5MV67DnJ6k18kgZgB/WEQ+Q0RvAfC3iOgvddUMvxs6D+QrUJ/9f8K2376vDkxEPgHgE922P+qWv3nXKfj/z4zzv+zqwBx42XoPWhXQKuPyQDUqSvVyUdd5E7ha495S7nXkgmLaI1yswG/mgwyuqLWXj5NOR68T0Lr1nn11Hlip8coZxlJxn18NsB4lLtLxcZeBPCXGaVYAezyzY1/1BjAgs+nvdFmB6/HMeJBBLE0CllBYGLCUkgDKMDwzZ/BigIgws+TJjKfqgYVJu9JwKBLbszA61HUK54WMZAdexdSPKvHW1FFvKVhb8O0BaA39NSDT/5szldByi0ZGHqbC8M3M94yM/fl0YObbVe+5XsN8v+G8kBufI18A8IW8/M+J6FehCUIPYO8H8CN5JqJPEtFvIaLfmv/vMO6sEl9YkB6d2m2Jm9cRaDUjpK4A1yWT3iSkZ2H6vbKgy30NkIWBWHTmab/e7u99r1Y+hmOe6szXfcXYel8UWvaVSyZSB1rFwE9SmRYvwetRZmSnWf8MuE5zWsjHnoUZiMXARUYmjvlVkCZBkgDzztmBfCT1zB7PyloreFUwSwzEGLJMnkHBsTCeKwubz2VKNrt24XioU565a11+gxUZ2TPutTax1h62gMzai8pKRjzE7HFVWUkxNEBmjKzNXi/BrG9bPq4h/XQ0iqswsBJE9LUA3gng57u3RhUPX4kMfKO4OwATwewAzKO8Z2Ij0Op9sb3ApdIybQLXWs1XqQGKoT6FY50BepBwLNGAl6X7nQxozHszac37IoLkcet7GemlY2JgTpKzjSis6/GcCgt7bEZ+EjyaUwEuBbFU5KOB13wBwCbngyWWAmQmPdPUe19thABE1hFLZwgCCMlJyaMDrsLC8qgMNGlGkqZDqVI3M7+XkcbIcN4GMf396w271S6sFEN9sNouSkY6m/qUQSscYpGVkiSv12TQGpDZsRsr68HMt69++cKUivtCgLQ/C/kyEX3arb+aE3f1+IjeDJ2d+w/6mbjt7fERrMfddebuGJj3wbgBsDFoScfO+kr6kc9VAa0Frr5xjjS/NQsGNyCGMeEq0cvGoXy0PzPvHaPAyPsy416qdKyjTACP5lRYVw9ej2fGKTHeOKUGvMYS8hIDGwGYIHFs/j/LEt0DER7nMcQIIScBpEhJPbc8ekXPwsq2PKa+Gfr5OvbZSKAWDlc5uX1T9uC12jYyABkDQwICB1CgJjvJSTLzorIeIm0C2cjv6sHM2lZpb/G6Jr5gvTfGIL4oIu9ae5OIDlDw+rMi8uODXXZVPPi4QwnJmB/VaoshA3Og5dfbLKRcBC4rlajr6w1zjS7XpHkFMfuMGKOWU6zJx4F53GTLvHw0897Vfa2xrwI0Im0JRZLGrB+B15dOqQBXKyGvAWCClMenBwAcrfiVEYgQMlBGIjwiLn6Y/SXWEacTZQAbsDCaptIzwaRkuYYOuAAU4Fr7LSxq+URti34ocWDcPmpGsgUzA7ICbsDCH1sDMj9jFblCXJzRgBmA4oVZu+rP56niShIyZxh/GMCvisj3ruz2GoDvzL19vgHAb275X8AdS8j0hmNg3DYaoAJWWW5Y2D7gKmUTA+Da08/Rwgx7P8lDzClrSZKnUGrDG/w+9W2NzKTAQj5aoaIfLmWFfRnrSqwP3Op76d/jLBnNrPfg9caplZGrALZSB7YNYAZ+HtQjHhOXz3iUGCEnAWKIDrjgztGxsG7mJLIaKLteWUZSjC3TNc+x6586ir50pgev1XaSCZ2Z9gpQ1t2olZfxGC8CmXlk/QQw5Fikb0e+nZVzuYaExNW6Ev1OAL8XwC8T0S/mbX8EwFcDgIj8EDRR+D4An4OWUfwnlz70TiXk3Jv4Dqya1xXQulTL5YGrZ1uNlOwYhjdey+FimXUUHlfg+xhV45dMUilerfJxVLgKN3vQGvtS416N+cdzqsWqmX09yoDVg9eXTmkBXqfEYJdx669PsgmJAyEEwjFqMuE4hdWyi+b8CXicuyE9zgMhnpNOCNKAsmdh+dy9jKTDEXR6NJCRbqbzEBZi8ZIPNjrn0r7c9lE7SZw0Q1k8MKqdvDMr2wNkVgA9nIqv8776bGSJa0hIWVclN/sc+WsYe1x+HwHwB27yuXcqIRdZSF5Sd12uoGX7jYDLe1w9cPVP0XJzdk9cH5Zp0mGFpYBY6f8WjX0tz683VhvPC66xuW4hvq9bMe+JqoyMNovQmH0Z06oZyJx1ZHZMywMZt38ZuHjOACZjALMSAq3ZIvCknbkNxIBaWGvh2drjpOthViZ2DoJzEBwihixMQBm4bEjlUwZ0GspI6a7xwhMzORkDcN7oTtS3sa7NlPaSP8IXOlMkBbNUa8KQpLIyB2Qhv+89sr6jeAIaMLN2Gfz5dAB2HQl5HQC7rbhDCYniYfmoQFO7c/SDCq4VoK4BV1PjxUvZuG5SLlPmZSxOK6PIMpKTIIyHe2piUS3egFcnH0fsS1BmExqxL/1T+WgZR2Nab5zmBrzecCB2TtwAl7C0LCyDmc0FaexLhMAsBch2VfA776uUeTANWZgEnYl68hODxAlI56GMNBBb9HK4ENZWSptIvs3tazece5OE4DKTuT1SIlf0SkMgq4Bm3c8M3Dh3WyPgnAozs/YEWOF020n9KgpSlBg8r3GnQ0rPb9Shd5t+hw6w7L1RJ+s9wNU/OfvGt/lwKQ20ApmxD06CaMzMjPyNDyslE/BlFbHInSp9XPbRAZcBWUpSGZhjXyoTrUzC/gRvnMdsy8DrjXNCmvUapcRlWcQAbPHD6bEHvVGJCBQIMTOv0wC4armFAmkM2vXoHBjnQHiUB0U8hDBgYVomMsVQ5aNdkzCVayb5AUA2zEy00UqrT7T3NqxeaSsXfdvZajcp6XwAzKkFMyu/caxsCGS5/MLLywQUphaiqA8WK6DZuTVd264ypPTVKvFvJe60kHV+1I4dPuo8fQm07LPWgMt/jm943pjuf5/aBvJCZhjlu+AAa6OMwpdOlE/0xms3NErp2zZNrXzMrw0zKSa3jSjhjPtUC1grYM0L6WjglWb1GNPMmlyZ88NgS0LmYXUUvBTIZRKEGHBy17et3FcgeyOD2JmVgYWSdOCGhYlopTwHG+E1y0YnI0OMBbCkDPIXSj1Ygn9ghFojFgPSxrxLPWu3GLWhUfuxbdFeOSFkFuZZ2RaQtaDVF8VWe6M8YCM1/T2vV8j6YnfmvpUQQSltWLznAAsYmO47/K1SuOqYVt/g1oaKqV6j1HUWwIx861Z0g47cABpWQF4udv5XI5WMbeSbmp1sXHpfrB20swfmfS+fbXzjlBrwms+pXCueFbis28zWiKwSCCQqbcKUmanb33cUi4EQM3DFQDjOjEMIeEycfTDGOYXihVWANkZm2cgJoHORkRIqYHkJKb6A1V37m4R07crA61I7KuDVz5MpCmQAKph1QJbAjWE/BDMmcGZeem65W5P9NubFXYk43Xtgg1AG1qaC1hiYrfdFp1sysX9SXnpq+rBG1wKZgliI+clmQ8QkLrJyKwrzckZ+eW+rfCLP+yekjV1BDHk+x5H3lU371MrFx52E7MErzSohhaUwsSKlOhALgbKSUwkZpwAWgjAQJ4Ln1SeixsA/zowY9BhiSIgBODPhgYTGC5tCyOyLMhuTWvB7oZxCmmtbM5H7vTCfMKrXIMmyLe1pR/qsc1PNEanM9KyMJXc4X7Iyq/3qwQzg8j5Q5SOfbSiqK0hIuZeQ4xDtVG3R9/oHvBexBC3b7tkWgOFTcs8Tc0mm/JhVuhyp9n/kxKBEiDtY2CLzCGNhfjiUWsRaug65V87y0ZgJA3WSjsy6mOtyz7783zmNwYtnLiBmBv5oQAOGZOwwI1+076KeCOBmSjwHQpxpIR8fz9r5+xiVdZ2T+mHnkPtSFukoKiXFycgM8qUuzPtg/loO6qMujUjRnGdn6Nfs77JtWfRtqQcve79nZSHlQteOlWlbWYIZn+uD0zOwZm6Gq3QlujfxhzHywIAxkI1Ay95fY1tbAAZg4X6woOueq6yrb4whf2/PuiQJMMhC9jeOL670Br6tW/nEoogVVT5KllVWde8zjyYvPePyy4/OCfMpS8YMXvM5LU18RpGS9nvpeeSbRgiBAQnLa1H6KwQCz4RHwIKFnfIIFr4Xge+I/nCyLGQGbIGWU7jkhmQga32w1sgfZSHXQGwklSTJ0LTv2RhQ25QnPgHOD6QWzOq2Fa+sM/21/bR1ZQAKqAEAn939cxUP7F5CDkM9sCWyr01htpZJHIHViOJ7wFrzvhLctGFi/1DzGhlFRl76YRdSsZcwzsAv6/ofF1IpJckgVuWjGfdJ0GQea2Hqkn2xM+yNeTUmfgYuK6nQa9/Cvcqy6oEF1iss2ZDHEQACKFfdTwBOsY5cYf0vH8+heGHnwEhTqL0IEjcyUqDnPcVWWiMnO5ox4W/QpQtY3qCSH5geAPyD0b+ye38Uvk2xrIPZHlYGKJh5pmUgZqDWnMd18OvexB9GJyGBjn2tFA3ehG31jWvfgyTvRLQAMW1w0LHMo+tG5JjXCNT6otaSgbRt3sjvmJeNtGmSUaQuV9lo49m3mceefZ0TF8BKebkBtHzTKpAxxA/r7c8nRHB+pRCKB2ZymmerFbP9CefEiDPhOAU8nrmwsNPMOE7qfc1JcA46HlZJUgQUxskBdQz4oQ8WqwfmMpE3YmF9bVfiYXuz9rXXUwUyQCFP/Cu9R4aLrAxwBr0DNGAgH4GrIdi9BzYILWRtb4xRVXxfr7XGsHq2tSfjuOZ9xVx/ZCBm+6wlHkdUvR9qetG4UIGrmNMOwEoZRfa/RFwGklEq8s9cJ+NgGXtfpXuQr/GapXheBl7GujjP/LQFYPaqy4dcZpKNZauVI0IIOfkyM06ZffUs7CU2NsnVzE8BDyfn+YmWVbBAva+BD+ZZWG/ml2N3v4P/jS5VrfftrG9je3zVhR+mV6vIzBErA5ZgBmABaHoOHZO8Cu5cfzywa8YdM7BuUtGGstvrGIi22NaljGNfA+Znm66MywOXbjNgiwyEJODAiPANiLFVGOa7FKF4Yw4MYizANfK/TEJa9tFm0D4nBalzqlXwp5nLuFwl69hLxw680qygxfNJXy8AWCgAhmqgI4BmzvsRaCYQcVk+RcZxCnXMsHx8xxiQop5XmkKeZERlJAu5a0AN8xIiBbF8XDZjj7GwfnTWvXZ0KdHJvpy2g/r+Vjay39+3r63M5Bor82BYXjtAAyqolbgCgtmD83mNO2Vg5wGyjwpMRyB2iW2NmNf6g8QoPuV9pDQuz8K0cbWNhJNsDgm2lrrvM5C2vDDwKYAz41IWUudsNAlp8rGa93VwQuvjaNKwAa6ZwXOt9/LglfIrMPLA8vYQEacjeD4hTEcwB1CuJQO4VOlTAGgmxBia8o6GhR2lTLpr2VQdntrOmco1cNq0sNUQDbTcNb3hb2Ixkkyjh6Vt3/vAbJm8N/P3s7JRVlM/W0szfFzLAxv1rnhe4s4AjDG+MHsA7BLb2vqMcQwKV533FUqDofKZ/YXj1LKx5tO7dH5zA1kGEqjMyzye7H8ZaJn/JQKd11Vq5s7ko7Ea730x1xovk46WzS0m/nwGz6cCXPqnI+KOGJgdc5pPhYVpHMp5cmLwTGDSzFlKjMCh8edecizsYc5KlnPi7pzF1YMNjfyaiazHefOyCR9WvqHLUl57Q9/29fuNPqs+AGtb28PKgAELc8/SkbVxLet9+96527hDCbmk3hYjAFoz5LeegPvYVz4YAI3/5Wu/oMLQGnMkbezhsP/moBjLGOYAaglFWXc3ZRflBoaWUAjMF6pdiZIbYqcf08u8r5RlJ2fGZaZ9D15skwfzErwAlZTEVmvFCJMCWT2Vo3ZaDsYQ9bsjB5Wqefid5bGikZApy+Z67vpbKAnrrpOBWVkN9VcNNoT3ZUDzWW8PaGsPzz0MrLt6ZZ8tZtWzMgMzz8wa9uXaeuwx8ilCLp7P3cYdMjBZMLD+Qm2Blq1vvYfu/69HW3G/LEQcm7K+0NaD2aViyaZbi89A1g8o0sgb+MZCkoFClltm4o8m5UgZsEqJRGZfxcSfk2NcCl58PuGSiS+cFMDygIU6bWPK8lPHxOJZfUKetY4pzTqSrSYivAeWkDjmREQomWbO+3Egdw2qkd8McNhdz7J8xahtbPTe2LYYfUZl8jvAqwc6tGDmv89LVEDvsacNkT33z93F3XlgAM4r12WvD7Zn3W8bhfe2zP/qJWQSFBlpLOywPTYbgLHX0myL68BlclKwNPB78DJA6I1xM+855U7a1t8xA6D3vdJ8WjAvD2J1qJgKXhaS2m7RFCLSnMeFL2yPtdO3KJieYssSZw+4ggbE9JyXRr5dIwOyJvNY+p1uzxJ1KZLU4uB2/elZWD6Sbtu239WDGdDWma19y9PEPQNbibXShv79tW17QWuv/9WDmGdcfX6RWc37m6SYe++rWc5lAU0G0hgYlga+ZceKlByBAVeD3kaY8CUUwgyeT2ADq+QykHk70DKwZODFCSFENe/nEwKOkBDAnEDZFxMO5TvrcTBilpA+U1rkrgMMdoA2NPJ7uV2G1HG1YMCwDmwrSu1hhwi9pzQCr5t5rsAlSdn6skvW5rfdRgjkwrnsCyL6OIBvAfAbIvKOwfvvAfATAH4tb/pxEfnopc+92zqwDZDZArKbsK/+s3yM2Fef8tYn4o0HnigRfOlE3di+bsSWgc9FZmHofRkIiPtLs/PBPFidzwvwMlBbHJNNuAoAloHMHpjJS5WSIZdPKGjxrCOSFvDl0V/uCVCAemnkN9GVUmxdYz+Lz5P27jMGvmxjN2Fh7YN2ZOzb+lJe1vf9tlHJxjWUnwA4XScb8KcA/ACAH9nY5+dE5Ftu8qF3KiHX0rOXmNRNZePoCVJBS49mJCF7MAug5nPX+j/eKDJjoBjBgxIKa9RrBn5hLflaNmzG2I94yWh/XGq9bLn4YA68eh+MOtBlAOT24fms59OxMJOt5XiG4OXYpDtHQXszLjKRrpTCDyk9ir1MzDPrS6C1xsJsfXAUZakmjfz27fUeuJYP3fZ/PU1cywMTkZ/NE9peNe4UwLbSzXV5CUpPatx7JlWNzzH78vv7Eor+e24apQ/bHvaFyjzKdw8M/CQmG1sG5sf0qlIOebvzuZzvVcoouizkKBtZjtPts/TQon6ndMeyAC8us4v3Hlhi/SEWmcgL18+k5KgXRN0nABt8bK2m66ZG/qjt5SNwy3uBbO3/tXENAAOeqQf2jUT0S9C5IL9LRD576T/csQe2tv3JGNjatrXvvGTgrxWv2uc87cWrXYmibWhqwCx8BrJs8E2xUwAACUxJREFU6wx8AKv+VwWtzrznpWE/BqF6g/cGPgBwSDpKR8fiAqfKvApwoYBY79nVaysLqVhktDjoGlwrf22f9r671D5vauSPP69/kNZt60Dmt/XbrxtbRGMQF2fm3ojPAPgaEfkXRPQ+AH8RwCuX/tMde2DXYWBr2/r/78MazBZI9cf0tEZpkS+DG04G3283bdnHZSAXx8ctkAFo2A6zZz9eMnIDOgCG4OUlZM/GhFORkv1n6nJwI1u0I72OpG85f8fCxHEuA/PmKrpi1sZb7KYguxRrSRnt8VHX19vu+CHbhy+Kzt9ctl8GMr+t3+62XoE5CdaBfBCbM3Nvfo/IP3PLnyCiHySil0Xki1v/704ZGHAzFnZTMNv+XmlArH6Gr7gf7bMUL0/U2XVLQmZPp3w+luxrlIEEHBDka+AnN61jezlgSh1obbAv268P/xllfTp0zG05PHVaOfY+E1nOu7vMQuGq3GNtkuNLJTlL32v5/0b/x2IEWv0DVqP20V1aIG1cKysp8my6EhHRWwH8uogIEb0b+nz6x5f+33MjIW9aUnEJ4Pr/38dWBtKvX2Je1oXo4thgIwYwqibvsmm+I61JxrXwYODndSzmOVcQAzAEqS32VQ8zLv5P6Q41+L+Si10tmeCN/P64h+flJKWgk5ErvRcAXKWQdatdjgz7m9SDrfmxW6DlAavdrzfzd57gjrhSGcWfA/AeqMx8HcB/g5wCy7NyfwDAR4hohk6n8EHZMbX4HZr46/UleyXkpW1bcRP5uPy/Sxa2N5aDHLqJPLrwp9H/lixtCcVIQgJVRrbrNfsIoK4P+j2udSdqClmthiwkl5Hk4oPpuu3bsqrULfelFM2xuOu++IkdkPn+kM0uT9kvcm/sAS//vgeyEeMfAVsPZP57LeQalfi4Tp9KEfm2C+//ALTM4kZx5xISWKflo/dv4n+NLvxWEx5lGy+xr5v0h7xRkDfx3XfyZRYGVK/Jwk+T5mOtr+OahBz9n97U79/3/pc/HtnBwPpzbXYbMa+hoX/936iXjJdYylZbXAMs4DLzGknI6xa1XqeQ9bbijssoxu/dpJ5r7eKuPTUYaw1nvc/j08ZNbyBv6LcsbLz/lvwafn5XpLoFVvr+ckjp1c8cyFHg6caUujDW4DOLSzfyyAcDnqQtjkp61rLh4/If4Ep1YFi/T5+HuCX68ORxKbujy+vbgMuUd9klpPfO9gPlXUZyrMpqwGw7gKaEYm18+z5a72q79murRsxX8Jf5PV0phT+HusyLwtzyGW61AfUbyv9rx6W2c5O2+KRK4zbbpsC8vct/dxG7AIyI3ktEf5eIPkdE//Xg/QdE9Ofz+z//JBW3o4swlpbb256Th/VmbBWxyoohfQl0nzT2SMTb+P+LjOQzyHQ9TVTwuP5xroHY9vH067dz/SwLuefvLuIigBFRBPAxAL8bwNsBfBsRvb3b7UMA/omI/HYA3wfgT1z7QO8ybrPx3lZcZUotjBnbJRZ3rdh7vddAfxRrcv55nrhiP6jdzjnUrlTbf3cRe375dwP4nIh8XkROAH4UwPu7fd4P4E/n5f8VwL9HtJ/bXyqh+P9rrGHQ8zxG+X3UuG2Yv5T8ukY87xJyj4n/lQD+gVt/HcA3rO0jIjMR/SaALwfQVNES0YcBfDivPv7vTp//O09y0FcN6V7H8TK6c3nO40U63hfpWIFncbz72uSe+Nef9gP+EU4/9YPy91/eufsz/x33ANiISfWXds8+yP2iXgUAIvr0k3Y7eNbxIh0r8GId74t0rMCLdbxdv8QnChF57zWO5bZij4R8HcDb3PpXQXuLD/chognAlwH4f65xgPdxH/dxH2uxB8A+BeAVIvo6IjoC+CCA17p9XgPw+/LyBwD81T3dAO7jPu7jPp4mLkrI7Gl9J4Cfgo6q/HER+SwRfRTAp0XkNQA/DODPENHnoMzrgzu+e+8wG89DvEjHCrxYx/siHSvwYh3vi3SsTxR0T5Tu4z7u40WN564S/z7u4z7uY2/cKoA9iwr+a8aO4/1DRPQrRPS3ieivENHX3MVx5mPZPFa33weISIjoTjNne46XiP6jfH0/S0T/y7M+Rnccl9rBVxPRTxPRL+S28L67OM58LB8not8gomFJEmn8j/lc/jYRff2zPsZbDRub6dp/UL/s/wTw2wAcAfwSgLd3+/wXAH4oL38QwJ+/reO50vH+uwDelJc/clfHu+dY835vAfCzAD4J4F3P+bV9BcAvAPhX8/pXPMfH+iqAj+TltwP4e3d4bf8dAF8P4O+svP8+AD8JLXX6twH8/F0d62383SYDu/UK/ivHxeMVkZ8WkS/l1U9CS0ruIvZcWwD4YwC+B8CjZ3lwg9hzvP85gI+JyD8BABH5jWd8jBZ7jlUA/Ct5+cuwLCt6ZiEiP4vtkqX3A/gR0fgkgN9CRL/12Rzd7cdtAtiogv8r1/YRkRmAVfDfRew5Xh8fgj7Z7iIuHisRvRPA20Tkf3+WB7YSe67t7wDwO4jorxPRJ4norgoo9xzrfwvg2/PIop8A8F8+m0N7orhpu36h4jbHA7taBf8zit3HQkTfDuBdAL7pVo9oPTaPlXSW1+8D8B3P6oAuxJ5rO0Fl5HugzPbniOgdIvJPb/nY+thzrN8G4E+JyP9ARN8ILSF6h4g8j4OhPE/32NXjNhnYi1bBv+d4QUTfDOC7AXyriDx+RsfWx6VjfQuAdwD4GSL6e1Dv47U7NPL3toWfEJGziPwagL+LHdNq3ULsOdYPAfgLACAifwPAQ2gfyecxdrXrFzZu0VycAHwewNehmqH/ZrfPH0Br4v+FuzIDdx7vO6EG7yt3aVzuOdZu/5/B3Zr4e67tewH86bz8MlT2fPlzeqw/CeA78vK/AQUEusPr+7VYN/H/A7Qm/t+8q+O8lXO/5Qv7PgD/R77pvztv+yiUvQD65PoxAJ8D8DcB/LY7vRiXj/cvA/h1AL+Y/157Xo+12/dOAWzntSUA3wvgVwD8MnRWmuf1WN8O4K9ncPtFAP/+HR7rnwPwBQBnKNv6EIDfD+D3u+v6sXwuv3zX7eDaf/eV+PdxH/fxwsZ9Jf593Md9vLBxD2D3cR/38cLGPYDdx33cxwsb9wB2H/dxHy9s3APYfdzHfbywcQ9g93Ef9/HCxj2A3cd93McLG/cAdh/3cR8vbPy/6wr0UEded7sAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"\n",
"im = ax.imshow(Z, cmap=plt.cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])\n",
"im.set_interpolation('bilinear')\n",
"\n",
"cb = fig.colorbar(im, ax=ax)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### contour"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"\n",
"cnt = ax.contour(Z, cmap=plt.cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Figures 3D"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Pour utiliser les graphiques 3D dans matplotlib, nous devons d'abord créer une instance de la classe `Axes3D`. Les axes 3D peuvent être ajoutés à un canevas de figures matplotlib exactement de la même manière que les axes 2D ; ou, plus commodément, en passant l'argument `projection='3d'` aux méthodes `add_axes` ou `add_subplot`."
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [],
"source": [
"from mpl_toolkits.mplot3d.axes3d import Axes3D"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Tracés de surface"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x432 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(14,6))\n",
"\n",
"# `ax` est une instance d'axe compatible 3D à cause de l'argument projection='3d' à add_subplot\n",
"ax = fig.add_subplot(1, 2, 1, projection='3d')\n",
"\n",
"p = ax.plot_surface(X, Y, Z, rstride=4, cstride=4, linewidth=0)\n",
"\n",
"# surface_plot avec étalonnage et barre de couleurs\n",
"ax = fig.add_subplot(1, 2, 2, projection='3d')\n",
"p = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=plt.cm.coolwarm, linewidth=0, antialiased=False)\n",
"cb = fig.colorbar(p, shrink=0.5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Tracé Wire-frame"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(8,6))\n",
"\n",
"ax = fig.add_subplot(1, 1, 1, projection='3d')\n",
"\n",
"p = ax.plot_wireframe(X, Y, Z, rstride=4, cstride=4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### graphiques de Coutour avec projections"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(8,6))\n",
"\n",
"ax = fig.add_subplot(1,1,1, projection='3d')\n",
"\n",
"ax.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n",
"cset = ax.contour(X, Y, Z, zdir='z', offset=-np.pi, cmap=plt.cm.coolwarm)\n",
"cset = ax.contour(X, Y, Z, zdir='x', offset=-np.pi, cmap=plt.cm.coolwarm)\n",
"cset = ax.contour(X, Y, Z, zdir='y', offset=3*np.pi, cmap=plt.cm.coolwarm)\n",
"\n",
"ax.set_xlim3d(-np.pi, 2*np.pi);\n",
"ax.set_ylim3d(0, 3*np.pi);\n",
"ax.set_zlim3d(-np.pi, 2*np.pi);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Lectures complémentaires"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* http://www.matplotlib.org - La page web du projet matplotlib.\n",
"* https://github.com/matplotlib/matplotlib - Le code source de matplotlib.\n",
"* http://matplotlib.org/gallery.html - Une grande galerie présentant différents types de tracés que matplotlib peut créer. Fortement recommandé! \n",
"* http://www.loria.fr/~rougier/teaching/matplotlib - Un bon tutoriel matplotlib.\n",
"* http://scipy-lectures.github.io/matplotlib/matplotlib.html - Une autre bonne référence matplotlib.\n"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.5"
}
},
"nbformat": 4,
"nbformat_minor": 1
}