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{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Matplotlib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "np.set_printoptions(precision=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Intro\n",
    "\n",
    "Matplotlib est une librairie très riche mais aussi asssez bordélique. Sans l'aide d'internet, il est difficile de trouver les bonnes commandes, et quand on surfe on a l'impression qu'il y a des tas de syntaxes différentes pour faire la même chose. Voilà pour les mauvaises nouvelles. La bonne nouvelle c'est que `matplotlib`  fait de chouettes graphiques. \n",
    "\n",
    "Ce chapitre tente une présentation assez complète (donc un peu ennuyante) et explique le lien entre les deux syntaxes principales: l'explicite et l'implicite. Lisez ce chapitre rapidement pour vous rendre compte de tout ce qu'on peut faire. Revenez dessus quand nécessaire."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##  Figure et boites-graphiques\n",
    "\n",
    "Nos commençons par des considération de mise en page. Ce n'est pas le plus pationnant, mais sans cela on ne comprend pas la suite. \n",
    "\n",
    "\n",
    "### une figure, plusieurs boites-graphiques\n",
    "\n",
    "L'initialisation d'un graphique se fait en deux étapes:\n",
    "\n",
    "* on définit d'abord la figure, qu'on nome traditionnellement `fig` et qui représente la fenêtre.\n",
    "* puis dans la figure on définit une ou plusieurs boites-graphiques, qu'on nome traditionnellement `ax` (pour 'axes').    \n",
    "\n",
    "Effectuons cela de deux manières différentes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "\"\"\" Les données à tracer\"\"\"\n",
    "x=np.linspace(0,20,100)\n",
    "y=np.cos(x)\n",
    "y_prime=np.sin(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'matplotlib.figure.Figure'>\n",
      "<class 'matplotlib.axes._subplots.AxesSubplot'>\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x144 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\" Première manière, avec 'fig.add_subplot()' \"\"\"\n",
    "fig=plt.figure(figsize=(6,2))\n",
    "ax0=fig.add_subplot(1,2,1) # dans une grille de 1 ligne, 2 colonnes, on ajoute la première boite-graphique \n",
    "ax0.plot(x,y)\n",
    "ax1=fig.add_subplot(1,2,2) # dans une grille de 1 ligne, 2 colonnes, on ajoute la seconde boite-graphique\n",
    "ax1.plot(x,y_prime);\n",
    "print(type(fig))\n",
    "print(type(ax0))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***Attention:*** `fig.add_subplot(n,m,i)` crée la i-ième boite-graphique dans une grille $n\\times m$ mais   la numérotation des boites commence à 1!!! "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x144 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\" Seconde manière avec 'plt.subplots(1,2)' \"\"\"\n",
    "fig,axs=plt.subplots(1,2,figsize=(6,2)) # on crée la figure et les 2 boites-graphiques d'un coup\n",
    "axs[0].plot(x,y)\n",
    "axs[1].plot(x,y_prime);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x144 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\" Seconde manière, variante \"\"\"\n",
    "fig,(ax0,ax1)=plt.subplots(1,2,figsize=(6,2))\n",
    "ax0.plot(x,y)\n",
    "ax1.plot(x,y_prime);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***Attention-suite:*** `plt.subplots(n,m)` crée une grille de $n\\times m$ boite graphique. Il renvoie un tenseur numpy, et donc la numérotation commence à 0 cette fois-ci. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***A vous:*** Il y a une incongruïté mathématique dans les graphes précédent. L'avez-vous $(1\\heartsuit)$ vue?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plusieurs figures\n",
    "\n",
    "Dans les notesbook les figures s'ampilent les une sur les autres. Mettre plusieurs figure est donc équivalent à faire des subplots verticaux; sauf que l'on peut changer la couleur autour, youpi! \n",
    "\n",
    "Par contre, en dehors de matplotlib, chaque figure s'ouvre dans une fenêtre différente! "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x144 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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0vlYQ/wXABaAcMACbgA1XHTN0EuMTYPbUm7Uh6zOj6Oo3Kp53qza7ihswmMysz1RPfLzd9dyYGs5nZ+oYULHWuRpsza8jKdyHpHBf1WxYnR6Bu17LltOulXJ7samLkroO1s2xbvXOiXJzVhSljV0U1XbYvC0riL8eeB5YhSzqdwJpwE+RhR7gj5bXMi37r0+9WRuyOCGIEB93Ps1XbubdHthaUEtMoBdzrVg3fjJsyIyitWeAgxdcZ96lvr2P45WXuUll8fHzdOP65DA+za9TfZlBJdluybJZm6FMbv9IrMuQkx6U6HytFPNfC5wHyoCnLa/9gisjgGeBIiAf2AukWKdZG6HXaVmbEcmesw109RvVNkcRWrsNHLzQzLo5karEm4eyzDLv4kqhn88K65Ak+Wlbtbl5bhTNXf0cLnOdznfbmXrmTQ8k0t9LVTsCvN25LimMIxdtX2pDPOE7Auszo+gbMLOnpEFtUxRhR1E9RrPEepU9Txgy71JUT6/BNeZdthbUkRLhq9gT1aOxIiUMHw/9l96ws1M2GPKxg44X4NcbM/j4u1+zeTtC/EdgXlwgkf6eLpP2trWglhkh00iL8lPbFEDufLsNJvafVyfrS0lq23rJq2xlfab6HS/I5R5WpISRW9TgEqGf7QWDIR/7EP8QHw/0Ni6mCEL8R0Sr1bA2I5IDF5qdfoH35q5+jpS1cJMdhHwGWZQQRIC3GzuL6tU2xeYMetj24nmCvMh4S7fBJRZ433amjvnTA4nw91TbFEUR4j8Kq9MjMJjM7D3n3N5nblEDZkkurWwvuOm03Dg7nN0lDU7/tPXWgjrSo/2IV6CC53hZnhyKh17r9J1vaWMXZ+s77ereVwoh/qOQHRdIiI8HOwud+wews6ie6cHeJKuYYjgcq9Mi6OwzKjL5pRZ17b2crmpjTbp9ic80Dz3XJYWyo7DeqZ+23n6mDo0Gu7v+SiDEfxR0Wg05aeHsPdfotA98dfQNcLismdVpEXYT8hnkmlkheLvr2OHEnW9ukZxQsCpN3RTD4VidHkF9Rx/51W1qm2IzdhTWkx3neiEfEOI/JqvSIugxmJw253zv2UYGTBI5dig+gxOPu4rrnXbiMbe4nsTQaXaR5XM1N8wOR6/VOG3nW3W5h+K6DlalhattiioI8R+DJQnB+Hrq2eGksc+dRfWE+XqQpfKDXSOxOi2C5i4DeZXOt75vW4+Boxcv26XXD+Dv5cbSmSHsKKp3ylo/ucXyqCsn1T6vv60R4j8G7notN6SEsbukAaOTlRvoGzCx71wTK1PDVavlMxYrUsJw12md0vvcU9KIyWyfo65B1qRHUNnSQ0md85V5zi2qJznc164m2pVEiP84WJ0eQVvPgNOlvR280EyPwWS3nieAj4eea2eFsNMJvc+dRfVE+HkyJ9pfbVNGJCc1HK0GdhQ61wNfLV39HK+47LIhHxDiPy6WJclpb84W+tlZVI+vp57FCcFqmzIqq9IjqGnrdaoVvnoNJv5xoYmcNPsddQEE+3gwf3rQlyESZ2HP2UbMEnY96rI1QvzHgbe7nPaWW9TgNGlvRpOZ3SUN3Dg7HHe9fd8GN86Wvc9dTiRA/7jQRN+A2a5HXYPkpIVztr5TsUVGlCC3qJ7oAC+7eaJdDez7V29H5KTJaW/O4n0er2iltWfAIYa9QdPcmR8f5FTiv7OoHn8vNxaqsGLXRFmZKt8jznL9u/uN/ONCMytTw+0uvVlJhPiPk+tTwpzK+8wtrsdDr2VZkjqL5kyUnFTn8T6NJjN7Shq5ISUMNwVquEyV6cHTSAr3IbfYOcKe/zjfhMFoJscBHB9bYv93np3gTN6nJEnsKm7gmpkheLsru0j7ZBn0Pp0h9nys4jLtvQMOJT45qREcr2ilrcegtilTJre4gQBvNxaqtFSpvSDEfwLkpIZzrqGTSy2O7X2ere+kurX3S0F1BAa9z11O4H3uKm7AXa/l2lmOMeoCufM1mSU+P+vYq9sNmMx8fraR61PCFKmcac9Y6X+/A0gGZgK/Hub9fuAuy/uLkBdzdzyueJ+OLUC7ihvQaOQnOB2JlanhDu99Dh11TfNwjFEXQEa0P+F+Hl+Wo3BUjg+OuhzI8bEVVhB/E/A48BlQDLxj+XcorwCBQCnwfeDfp96sClzxPh37B7CruIGs2ABCfT3UNmVC5KRGOLz36YijLpBLnK9MDbdkKTlunStHHHXZCiuI/zFkjz4BcAfuBrZcdcwW4EHL/u3AHsAxUybl2OdlWrsd0/usa5fz5Vc64CPtzuB9Xhl1haltyoRZmSrXuXLU5R0dddRlK6wg/jVA7JC/YyyvjXSMHvAHhivT+xIwH5hPU5N91tBfmRqOWcJhvc/dllGLo3meIHufN852bO9zV3EDc2MDCPN1vCqSSxKC8fHQO2zn66ijLlthZzMejwIngBOEhtrnsGzQ+3TU0E9ucQMJIfZZRXI8rEwNd1jv88qoyzHFx12vZXlyKLtLGh3yYUdHHnXZAiuIfzRQNeTvastrIx1jBNoB+y4pMBKO7H129A1w9GKLw4oPwJJE2ft0xM5395dVJB33+q9MDae5q59TVY5X49+RR122wArivwC4AJQDBmATsOGqYzYAb1j2NwPXA477ZF1OmmPGPvefa2LAJDm0+HvodVyXHMquYsfzPnOLG4gP9iYx1DFHXQDLk8PQazUO1/k6+qjLFlhB/PXA88AqYDZwJ5AG/BT4xHLMI8gx/pnA7xg+HdRxWJwQ5JCxz13FDYT4uJMVF6i2KVMixwG9z84hoy5HLing7+XGksRgh0t3doZRl7WxUsx/LXAeKAOetrz2C66MADyB95FTPY8hZwY5Lh56nSX22eAwK0wZjGb2nm3khpRwdHZcRXI8DHqfjiRA+yyjLmeoIrkyNZyLTd2UNnapbcq4cYZRl7WxswlfxyHHssLU6SrHWGHq6MUWOvuNDlVSYCQGvc9dDjTy2llUT4iPO9kOPuoCucoqOE6dq8G5rhw7XKdaTYT4T5LlyaG46TQOE/rZWVSPt7uOr80MUdsUq5CTGs7FZsfwPvuN8oppN852/FEXQFSAF+nRfg5TamNwnWpHqGCrJEL8J4mfpxtLEkPILW6w+xWmzGb54ZbrkkLxdNOpbY5VuNGBSm0cKWuhy0lGXYPkpEZwqqqNxs4+tU0Zk9yiBkJ8PMiKdfxRlzUR4j8FVqaGU97cTVmTfXuf+dVtNHb2O5X4RPp7MSfG3yFCDzuLGpjmrmNponOMukC+9yVJXofYnpHXqW6063Wq1UKI/xRYaYl97rTz0E9ucQM6rYbrk51H/EEO/Zy61EZjh/16n4OjruXJYU4z6gJIifAlNsiLXDtf2vRQaTPdBpMI+QyDEP8pEOHvSWZsgN3XmM8tqmdxQhD+3m5qm2JVBusT2fP1P1XVRnOXc426ADQaDatSIzhU2kJH34Da5oxIblEDvh56pxp1WQsh/lMkJzWc/Ko26tvt0/ssbeyirKmbHAcs5DYWSeE+zAiZxo5C+/U+c4vrcdNpWJHifCUF1mREYDDJKcT2iMkssbukgRUpYXa/TrUaiCsyRdaky6K6o7BOZUuGZ3BC9EYnfLhFo9GwOj2CIxdb7LLKqiRJ5BY1sDghGD9P5xp1AWTFBhLm68FnZ+yz882rbKWl2+B0oy5rIcR/iiSE+pAc7st2O/U+t5+pIzM2gOgAL7VNsQlr0yMxmSV2ldhf6Od8Qxflzd1O8WDXcGi1GlalRbDvfCM9BqPa5vwTO4vqLcXonG/UZQ2E+FuBNRlyjX97S3u71NJDYU0H6zKcU3wA0qP9iAn0ssvQz7YzdWg0OPVk45r0CPoGzOw/Z18l2CVJYkdhPdfMDMFH1O4fFiH+VmBtRiSSZH9ZP9stoag16ZEqW2I7NBoNq9MiOHChye4mHrefqWPRjCCnriK5cEYQgd5u7LCzrJ/86nZq2npZm+G89/5UEeJvBWaF+ZAYOo3PzthX3P+zM3XMifEnNshbbVNsypqMSAZMEp/bUc75+YZOShu7WOfk4qPXaclJjeDzkkb6jfZT4nxbQS1uOo2o4jkKQvytgEajYW1GJEcvttDS1a+2OQBUXe4hv7rdJTyfrNgAwv08+MyOJt23FlhCPunOG3IbZHV6BJ39Rg6V2keJc0mS2FZQx7JZofh7Od9Eu7UQ4m8l1qRHYpbsJ+d8MAa+1olDPoNotXLoZ9+5Jrr77WPi0RVCPoMsnRmMr4febrJ+TlW1Udvex7o5zn/vTwUh/lZidqQv8cHebLeT0M+2M3WkR/sRF+zcIZ9B1mRE0m80s88OJh5dJeQziIdex8rUcHYW1dtF6GdbQR3uOq1TpjdbEyH+VkKj0bAmI5LDZernnNe09XK6qs0lQj6DLIgPItTXg0/ya9Q2xaVCPoNsmBtFR59R9c7XbJbYfqaOZUmhTvlshTWZovhfBlYCsyz/jlTbXgfMtWxXL/HoPNw0R84536ay9z848ewKIZ9BdFoNGzKj2Hu2ifYedbN+XCnkM8g1M0MInubOJ6drVbXjVFUrde193CRCPmMyRfH/NXAD8hq+NzDy8oxewGnL9skIxzg+qZF+JIX78NEpdb3Pj0/XkBHtT3zINFXtUJpb5kZjMJm/THFVg7P1HS4V8hlEr9Ny05xIdpc00Kliyu3Wgjrc9VpumC0e7BqLKYr/FuBBy/6DwMdTNMex0Wg03JoVQ15lK5daelSx4Vx9J4U1HWzMjlalfTVJj/YjMXQaH6vY+X54sga9Vg4Buhob5kbTbzSr9ryLyRLyuS4pFF8R8hmTKYp/AzB4k0dY/h6OPmA+sJjRO4iXLMfNp6lJ/Ym7yXDz3Cg0GlTz/j88VY1eq2F9ZpQq7auJRqPhlrnRfFF+mZq2XsXbN5rMfHSqhuXJYYT4eCjevtpkxwUQG+TFltPq3PsHS5tp6OjntizXc3wmwzjE/0YgfZhty1XHaSzbcFQCJ4C/A/+GvND7cDxqOe4EoaGhY5tmh0QFeLF4RjAfn65RfIUvk1ni41M1LE8OJdgFxQfg5rnyD1+N2POB0maaOvu5fZ5rio9Go+HmzGgOlTarUurk/RNVBHq7ccNskeUzHsYh/ruBwmG2m4FwYDC+WgeMFGcb/DEkAMuBU5M01zG4NSua8uZuTle1Kdru4TKL55Mdo2i79kRcsDfzpgeqEvr5IK+aAG83pyzfPF5uyYrCLMnplkrS3jNAbnEDN8+NFuWbx8kUr9IG4A3L/hvIHcLVtAKDT702A4eA1Kk1a+esyYjAQ69VXIA+PFmDn6ee611YfABuyYrmXEMnJXUdirXZ3iuLz4bMKDz0zrNi10SZGeZLaqSf4mHPTwpqMRjN3D7PdR2fiTJF8f8PYBdyquduy98gh26+adkvQY7jZwIrLMc4t/j7erqxMjWcTwvqGDCZFWmzq9/IjsJ6bsqMcqrlAifDTRmR6LUaPsirVqzNbQV1Qnws3D4vhoLqdgpr2hVrc3NeNSkRvqRF+SnWpqMzRfEPBvYgp3ruBoIsr88HXrbsLwXOAPmWfx+ZWpMOwm3Z0VzuNrBHoTrzOwrr6R0wuWSWz9UETnNnVVoE7+dV0zegzBOnH5ysZlaYDxnR/oq0Z89szI7B003L349dUqS9Cw2d5Fe1cfu8GDQasUj7eBHBMRtxXVIY0QFevHmkUpH23jl2ifhgb7LjAhVpz975+pLptPcO8Gm+7Sd+y5u7yatsZaMQHwD8vd1YPyeKLadq6FKg1tLmPDnD7RaR5TMhhPjbCJ1Ww/2Lp3O4rIXzDZ02bauguo28ylYeWBIvxMfCohlBzArz4e2jtu983zxSgZtOI1IMh3Df4ul0G0w2n/cyGM18eKqGFSmumV47FYT425C7FsTirtfy5pEKm7bz+qEKprnruH2+iDcPotFo+PqS6eRXt5Nvw6yrzr4B3j9RzU1zogjzc51yDmORGeNPWpQfbx+ttGnK89aCWpo6+7l3UZzN2nBWhPjbkKBp7mzIjOLDkzU2W2WqsbOPTwtquWN+rChkdRW3ZkXj7a6zqff/7vEquvqNPPy1GTZrwxHRaDTct2g6Z+s7OXnJNp2vJEn89UA5s8J8WJ7kmM8FqYkQfxvz0NJ4egwmm2UcYLt+AAAL9klEQVSevPNFFQMmiQeWTLfJ+R0ZX083bs2K5pP8Wtp6rF9p1WSWeP1wBQviA8mIERO9V7NhbhQ+Hnr+9oVtOt/DZS2U1HXwzWtniHDnJBDib2PSo/3JjgvgrSOVmM3WHf4ajGbe/qKS5cmhJIT6WPXczsL9i6fTbzTz3okqq597V3E91a29PHKN8PqHw8dDz61Z0WzNr6PWBuU2XvrHRUJ83L98qlswMYT4K8CDS+O52NzN3nPWXWN2+5k6mjr7eWhpvFXP60zMjvRjSUIwfz1QTq/BummfrxwsJybQi5WprlO3f6I8uiwBCYk/7yu16nnPN3Sy/3wTDyyJd/nnWiaLEH8FWJMeSVyQN7/NPW81799klnhxXxkJodNYNkvEO0fjiZwkmjr7eeNIhdXOmV/VxvGKVh5aGo9OK0IOIxEb5M0d82N593iVVYvtvXzgIp5uWu5fLMKdk0WIvwK467U8mZNESV0HnxZYJ+98c14V5xo6+UFOMlohPqOyID6I65JC+cv+MqtMvEuSxK8/O0ugtxt3Loi1goXOzeMrZgLwwl7reP/VrT18fKqWjdkxBE1zt8o5XREh/gqxfk4UsyP9+J/c8xiMUyv50GMw8rtd58mKC2CNCy0VOBV+kJNMW88Arx4sn/K5dhU3cORiC99fmSQyrMZBdIAXdy2I5f0TVVS3Tn2di19tL0Grhe9aOhXB5BDirxBarYYfrk7m0uUe3pniY++vHCinoaOfp9fOFlkO4yQjxp9VaeG8fKB8SmssG4xmfrW9hJlhPty7UOSWj5fHV8xEg2bK3v/h0ma2n6nn8eUziQ7wspJ1rokQfwVZnhTKohlB/OnzC3RP8rH35q5+/rK/jFVp4cyPDxr7A4IveWJlMt0GI89PQYDePFJBRUsPT6+bjV4nfj7jJdLfi3sXxfHeiepJlzo3msw882kRMYFefGtZgpUtdD3E3asgGo2Gf1+TQnOXgWc/K5nUOX678xx9RjM/XJ1iZeucn+QIX+5eEMurh8o5XNo84c+3dhv4454LLEsKZUWya5fNngzfX5lEuK8H33/3ND2GiTs/bx+t5HxDFz9elyoyfKyAEH+FyY4L5NFlCbx99NKEl7vbnFfNpuNVfPPaGSSKvP5J8ZObUpkRMo1/e/c0LV39Y3/Agsks8dTmfLoNJn68brYNLXRe/L3c+J8751LR0s0vt03M+alu7eF3u85zzcwQVqWJlbqsgRB/FXhqVTIL4gP50YdnKG0cX9G3/Ko2/u9HZ1iaGMxTOck2ttB58XbX8/w92bT1DvCD9/PHnXr77PYSdpc08rP1qSSF+9rYSudlSWIw37o2gb99cWnc5c5buw088OoxJODnN6eJeS4rIcRfBdx0Wp6/Nxtvdx3ffvvkmPH/ps5+vv12HqE+Hjx/b7aINU+R1Cg/nl47m73nmnhxf9mYhcf+/sUlXj5YzkNL43lgSbwyRjoxT+YkkRLhy1ObCyioHj3+3zdg4ptvnqD6ci8vPzBfjHityBRV5H0gzXKaE6MctwNIBmYCv55ak05CuJ8nz92dxcWmLm7986ERVz0qrGnn6698QWuPgZcemCfymq3EA0ums25OJL/ZeY4n3ssftgM2myXeP1HFT7YUsjw5VIR7rISHXscL92Xj5abjjr8cGTH82d1v5HvvnOLkpVb+cPdcFiUEK2ypc6OBqdRbLUEW/seA3yKv4HU1JiAJebnHGGAB8A5jLeU4b958TpwYrUNxDvada+SHmwu43G3gX6+fxe3zY/DUazFL8kMxbx6pIGiaB7+5Y46YZLQyJrPEC3tL+cPu88SHTOPnG9KID55GmJ8HJyvb+NX2Es7UtJMVF8CbDy/EV+T0W5WWrn6+87eTHCu/zDe+Fs+6jEhmhfmi0cKbhyt45WA5rT0DPLM+lYdE1dRxo9HMZ3Rn3HLc1MR/kOWMLP5HgGeAnZa/n7X8+6NRz+gq4g/Q1mPgZ58UseX0V5/+1Wjg/kXT+cGqZPy9hPDYiiNlLXxv0ymaOr86ARzl78kPViVzy9xo8RS1jRgwmfnFp8W8NaTstl6rwWiWuCEljMevnylWp5sgdiT+m5HDPoNr+r4FfAE8P8yxL1k2iItrorJSmSUQ7YUjZS1cutxNv9FM/4CZRQlBzIkJUNssl6C9d4CTl1pp6uinsbMPPy837pwfK1IKFaK2rZdz9Z2cb+ikqbOfW7KiSRfrIU+K8Yq/fuxT3QjUD/P6L4GbJ2jWWDxq2SA0dLiOxLlZkhjMkkQR11QDfy83EVZTkagAL6ICvFiRIr4DpRiH+O+eYhPRwNBa6tWW1wQCgUCgFgrkDC4ALgDlgAHYBGywfbMCgUAgGJEpiv9HyBk8R4B1wCrL67XAWsu+Hjm+vwqYDdyJnB4qEAgEArWw0oSvLQgB4qfw+SbAHhc5EXZNDGHXxBB2TQxntKsCGLt2lR2L/1QZ34y38gi7Joawa2IIuyaG69ol6gQIBAKBCyLEXyAQCFwQHTzzjNpG2I55ahswAsKuiSHsmhjCronhmnY5ccxfIBAIBCMhwj4CgUDggji4+I9VKrofuMvy/iLkFChbUwWsQK5amgY8N8wx+wB/YK5l+4UCdg0SD2RY2h2uhIYEfA/5ms0BTipg0zmuXIu5gB/wh6uO2Ycy1+xhIAxIH/LaZWAlMMvyb+sIn33Dcswsy76t7XoKSEH+nm4FRqqNH8/o37m17XoG+Sn+we9q+wiftWWp9+HsumuITfGWf4cjHttdr5H0QZV7TJIcczNKkCBBmQT9EsyRoOiqY16Q4DHL/jsS3KmAXbUS5Fn2OySYNYxdeyVYp9J1my5B0yjvb5NgtQRmCY5IsFCF7zVcggqVrtl+y/eXNuS1pyR41rL/rAQ/HOZzLRLMsPx72bJ/2cZ27ZRgwLL/wxHsGs93bm27fibBb8bxPY/1+7W2XUO3JyT4uQrXayR9UP4ec2DP/xiyx5AAuAN3A1uuOmYL8KBl/3ZgDyDZ2K5IINuy74v8VPPE1upVly3AA4AGWIzsTdYp2P4eIBGYrmCbQ1kGBF312tD76EHg42E+txPZYwsCAi37O2xsVw5XynMtRq6bpTTD2TUexvP7tZVdEvAecI8V2xsvI+mD8veYA4t/DRA75O8Y/llkhx6jRw4btNjetC+pAE4hh5yu5giQCawBihS0SYMsGvMYLJ/9VcZzXW3JJkb+Uap1zRqQf7QAEZa/r0bt6/Yq8nUZjrG+c1vwPHI46mGGD2Goeb0OAOHIoZPhUOp6VXBFH5S/x8ZR1VMwObqAjcixa7+r3ssGKgEf5HjoLcjF75TgIHI8thHZc0hB9pLsAQPwCVcW/BmKmtdsKBrLZk/8EvmnfN8I7yv9nX8H+AnydfoJ8CRy52QvvMPoXr8S12s0fVDmHnNgz388paKHHmME2gEl6uUPIH+x9wG3DfO+H7KIgVwAb4Dx1OKwDoPXKAx5kvDYMO+rVYL7M2SRDx/mPTWvWThXQl91yNfuatS6bq8DW4G/MbJgjPWdW5twQIcsL98aoT21rpcR+BB58nckbH29htMH5e8xBxb/8ZSK3sCVGfHNwPXYvkeVgEeQY3lPjHBMPVfmHo4BZpTplLqBziH7uXw1GwLka/amxb6jyKGySJRhNI9MrWsGX72P3mD4RYxWIV/PVsuWy5Uqt7ZiB/DfyKMl7xGOGc93bm2GzhF9NEJ7apV6343syceM8L6tr9dI+qDKPWaLGW2ltm2W2fIECf6f5bWfSLDFst8rwe0SJEqwQJIzC2xt0wFJ/oYzJMi0bNskeNGySRL8SYJUSc5wWCTBIYWuV5mlzTmW9gev2VDbzBJ813JN0yU4rpBtXRIESdA25DU1rtndEkRIoJcgWoKXJWiW4HoJZkpwgyRnW0iWa/PIkM++Isn3WqIErypgV6IEMdKV+2wws61GgjVjfOe2tOt+Sb53MiRYL8kZLlfbJUnD/35taZckwYPSlXtqcFPyeo2kD8rfY+IJX4FAIHBBHDjsIxAIBILJIsRfIBAIXBAh/gKBQOCCCPEXCAQCF0SIv0AgELggQvwFAoHABRHiLxAIBC6IEH+BQCBwQf4/fSd6R7VFposAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x144 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figA,(axA0,axA1)=plt.subplots(1,2,figsize=(6,2),facecolor='black')\n",
    "axA0.plot(x,y)\n",
    "axA1.plot(x,y_prime);\n",
    "\n",
    "figB,axB=plt.subplots(1,1,figsize=(6,2),facecolor='blue')\n",
    "axB.plot(x,y);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Une boite-graphique 3D\n",
    "\n",
    "La seconde manière est plus longue (surtout si on veut 16 boites graphiques) mais elle permet de faires des boites-graphiques 3D avec: `ax=fig.add_subplot(1,2,1, projection='3d')`  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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80ascbyrh/a9p5KnfDnDXIy8RDCurK0AkIvnk919hOhjhU7ftpNhi4q9/cpnfdIyv9tIUioyj1+t56qmneOWVV2hsbKSsrIwPfOADOByORc8lpeT++++noqKC8vJyHnzwQb73ve9x8GA81JoXX3wRm82G3W7nlltuwel0cubMGfbt25fJy1KsQUSmvtkKIRqAp6SUe1Ps+2fgGSnld2OvrwC3aD9Syg+nGjcXhw8flotps/Rixzj3PHqadx2u5a/fqW7qh37Zxpf+s5W/+J1dfODmJgKhCB/69su80jvFS596I2ajfrWXuKqMuKb5nS8/T75Rz+MffQ3FVhM/bx7mA996mQfvOsA7DqQ05m4o/unXHXz+6RY+f+c+7jpaz3QwzGu/+Csay6x878M3ZPx8QoizUsr509NyB2VOVCg2Hmn1vlwpS9kTwN2xLMzjgENKOQj8FLhVCFEshCgGbo1tyyg3bCnld/ZV8fj5AXyBcKanzykiEcljZ3q5eVsZH7i5CQCTQceHX7uFKW+QJy4MrPIKV5/HTvcy5vbzyN2HKLaaAHjDzgqayq38i3LRMejw8aWfXuG2vZt495E6AMxGPR9+3RZOdU5wulNliCkUCsVSyFRJjO8CLwI7hBB9Qog/FkLcK4S4NzbkJHAVaAf+BfgTACnlBPA54Ezs569i2zLOu4/U4fKHOPnq4MKD1zFnuibom/Rx4mDtjO3Hm0rYXmnjWy92bWjRIaXkiQsDHGkoYecme3y7Tif4wE1NXOx38tLVjS06nn51iFBE8t/fuhMhrn35+/2j9ZTZTPzDL9tWcXUKxdKRUhIMBnE6nXi9XgKBAOFweEN/JipWlkxlX75HSlklpTRKKWullF+TUv6TlPKfYvullPKjUsotUsp9UsqXE479upRya+zn0UysJxXHGktoKLXwvTOzqyZvJH50rh+rSc+teypnbBdC8Ic3NHCx38n53qlVWt3q0zLkon3Ezdv3V8/ad+fBGkqtJr763NVVWNna4emLg+yqstNYZp2xPd+k5wM3N/Fc2xgXNvA9pMg9pJSEw2H8fj/BYBApJYFAAK/Xi8vlwuFw4HK5mJ6eJhgMEolElFBTZIWcCfRfLkII3n2kntNdE3Rs0BIH08EwP3l1kNv2VWExza6d87vX12DLM/DtF7tXYXVrgycuDKDXCW7fu2nWPrNRzx/esJlftIzQO7ExMzGHndO83D3JbSneH4D3HqvHqBc8fVFl8ypyA806FggEABgdHaWlpYXBwUE8Hg9CCHQ6HZFIhOnpaTweDx0dHQwPD+PxeOL1yJRIU2SCDSPKAE4cqsGgExvWWvafzcO4/SHuPJg6UN2WZ+B3r6/hJ68OMh3ceLF3UkqevDDATVvLKLXlpRyjWdCebUuvLMt646eXhpASbt+XWpQVmI0crC/muQ36/ihyBykloVCI6elpwuEw09PTnD9/npGREaqrqxFC0N/fz9mzZzl37hwdHR2MjY0RCARwOBwEg0FCoRA+ny/ePFy5PRXLZUOJsooCM6/dXr5ha3L96Fwf1YVmjjeWzjnm9TvLCYQinOvZeE0VzvdO0Tfp444UrkuNpjIrm+xmftO+MUs/nHx1kG0VNrZWFMw55uZtZVwacKqixIo1SyQSIRAIEAxG61f29PTwyiuvUF9fz759+ygsLKSmpoZdu3Zx5MgR9u/fT2lpKT6fj9bWVkZGRujo6KCnpweXK1o8WafTKbenYtlsKFEGcENTKV3jXkY2WM2yQCjCix3jvGXvJnS6uTNzDzeUoBNsyGD2py4MYjLoZsXbJSKE4MYtpfymY4xIZGN9uI66/JzunOC2fVXzjrt5W7SO4AvtYyuxLIUibTRXpd/vJxKJ4HK5OH36NIFAgGPHjlFWVpbyOIPBQElJCQ0NDezfv5/Kykpqamowm82Mjo5y4cIFXn75Za5cucLw8DA+nw+dTjfL7el0OnE6nXg8Hvx+v3J7KmaRqd6XOcPRxmjvsNNdE7zturktIuuNiwMO/KEIRxvm751mNxvZW1PISx3j8OYVWtwa4cWr4xxtKKHAbJx33I1by/jR+X5ahlzsrrbPO3Y98fPLw0Qkc8aTaeytKaTIYuS5tjFV002xJpBSEolE4kH84XCYjo4OHA4He/bsoaBgbstvKoQQ5OXlUVxcHO95qYk8p9NJd3c3Ho8Ho9GI3W7HbrdTWFiI0Rj9bAkGg3ErHUSL0+r1eoxGY1zMJWY2KzYOG06U7am2YzHpOd25sUTZ2a6oO/JQQ/GCY29oKuXRF7rwBcLkmzZGIVm3P8SVIScfe8O2Bce+ZmvU/fubjrENJcrOdE1QZstj56b5H2B6neA1W8p4rm0UKaV6uChWFc06Fg6HEUIwNjZGW1sb9fX17NixY0n3pxBiloVLp9NRWFhIYWFhfFsgEMDpdOJwOOjr6yMYDGKxWCgsLMRut1NQUIAQgkgkEs/+FEIghEgp1BTrnw0nygx6HYc2F2+4ApdnuibYXGqhosC84NjjTaX887NXOd8zyY1bU5vz1xsXeqeISDi4eWHRWlWYT1OZlRfax+IFeDcCr/ROcaCuKK2H2M3byvjJq4O0j7jZVrk4K4RCkQk0i9jg4CA+n4+KigpaWloQQnD48GHy8lIn82QSk8lEWVlZ3C0qpYy7MQcHB2ltbUUIMcOaZjZHP6PD4TCnTp3i0KFDQFT0GQwG9Ho9BoNBWdPWKRtOlAEcbSjh73/eypQ3QJHFtNrLyTpSSs52T3LLjoq0xh9uKI7FlY1vGFF2rnsSIeBAXVFa42/cWsqPz/UTDEcw6tf/N9gpb4Cro55ZRYfn4qZt0fvm2bYxJcoUK47mqtQsUGNjY/T19bF9+3bS7Z08H6ksZekeZ7PZsNlsVFdHPTWhUCieFDAyMoLP58NsNmO32+MZnHp91GOhle3Q0ASaJtY0K5sid9mYoqyxBCnh5a5J3rR77qDu9ULnmIdxT4DDabguIVrWYF9N4YYK9j/bM8m2ChuF+fPHk2m8ZksZ33mphwu9UxxeIE5vPfBKrBjs9fXpidbaYgtNZVZe7Bjjj29qzObSFIo4WpmLUCgEgNvtpr29HaPRyPHjx+PiZi1hMBgoLi6muDj6+SylZHp6GqfTSSgU4sKFC0QikXiDcrvdjtVqjbs9/X4/fr8/ngGaaE3ThJoid9iQomx/XREmvY7TXRMbQpS9HIsnO5KmKIOoC/PrL3RuiLiySERyvmdqztpbqbhhSzSu7KWr4xtGlAkB19WmJ8oganV8oUNlYCqyT3IgfyQSoaOjg6mpKerr6/H7/RkVZEu1lKU7d35+Pvn5+fT09HDo0CEikQhutxun00lPTw8ejweDwRB3edrtdvLy8uKiNBAIxNeYbE1Tbs+1zYYUZWajnv11hRsmruxM1wRFFiNNZba0j9lIcWVXx9w4fEEO1qcvWossJhpKLVzsd2ZxZWuH8z1T7KgswJaX/kfG7mo7Pzrfz6jLT3lB9uN3FBuT5ED+8fFxWltbqaurY/v27UxMTDA9ndslkHQ6XdxKVlsbDSHQkgicTif9/f0EAgEsFkt8XEFBAXq9Pl47LdH1qSUQaMkEyu25dtiQogyiLsx/+vVVvIFQypZD64mz3ZMc3lw8b32yZK6rjWYQXRpwrntRdq476ppLJ8g/kT3Vhbza78jGktYUUkpe6V2cJRGipTEALg040o5nVCjSRQvk10pLBAIBrly5QiQS4dChQ/GAec3Nl0myaSlLl1RJBF6vF6fTyfDwMO3t7QAUFBTELWr5+fkA8dppGlNTU5SWlmIymWYINcXKs77VyDzsry0iHJFcGXJx/SIsJLnGmNvP1TEP7zpSt6jjSm15VNrzaB5c/5ags92TMUuideHBCeyutvOTVwdxTgexL1DbLJfpHPPg8AXTToLQ0MqFXBpwKlGmyCiJgfwA/f399PT0sG3bNioqZt5ra0FArQRCCKxWK1arlaqqaIHncDgcTyLo6OjA5/NhMpniLk+73Y7BYKC7uxubzUY4fK29nhafpmqnrSwbVpTtqoo+MFrWuSi7GLPk7F9ELJDGrio7lzeAKDvXM8nB+uJFf+BoouPygJNjTXO3rsp1zvdoQf6L+zuxm41sLrXE70GFYrkkB/J7PB6am5ux2+0cO3YMg2H2I20xoiwSidDZ2Ul/fz9mszkuXgoLC2fMnStCT6/XU1RURFHRtc9/LYlgcnKS7u5uQqEQfr+f4eFhiouL40kEmttTq50GzIhN0+LTFJllw4qymqJ8bHkGWta56Lgy5AJYsOBnKnZV2Xm+bQx/KEyeYX0G+3sDIdpH3fFG44thT0zYNw+uc1HWO0lBnoGt5enHJGrs3SAuXkV2SRXI39nZyfj4OLt27ZpRsDUZrSflQjgcDpqbmykvL+fIkSMEg0GcTicTExN0dXXFMyALCwsJBAJxV2CuYTabMZvNcYtiJBLhzJkzCCHo7e3F4/HEC+Fq1jSz2Rx3F2uCGGbWTlNuz8ywYUWZTifYsamAyzHRsl65MuyioiCPYuvi67HtqrITikjaR9zsqZ77Qy+XaRt2IyXsWIJoLS/Io8xm4tLA+hb2v+1zsK+2cFExiRp7aqIuXoc3SKFl/bp4FdlDSonb7cZgMCCEYHJykitXrlBdXc3Ro0cXtNYsFFMWCoVob2/H6XSyb98+rFYrgUAgpXjR2ihNTk4yOjrK4ODgjAxIrY1SMhEp8QXCeANhPLEfbyCMxx/GG4z9GwjjCYTwBiJ4AiE8gTADw35MVy7E9wNYTHosJj3W2L/Jr60mPfmxf615eixGPdY8AxaTDovJgMWkx5Dwt6y5Jmtra+OCShOkWpFbv99Pfn5+XKTZ7fb4+65qp2WWjIgyIcRbgQcBPfBVKeXnk/b/H+D1sZcWoEJKWRTbFwZeje3rkVLekYk1pcPOTQU8eWFgXbeCuTLkWpLgANgdswRdHnStW1F2ZTgqyncsocCpEILd1YU0r2NRFolI2obdvOdo/ZKO1+6bS4MObtyyvhNGFJklMZD/zJkzHD58mCtXrhAKhbj++uvTtlTN52ocGxvjypUr1NXVxVsuzTU2sY2SlJK8vDyKiopwOBxMTk7SdrWTQVcIR8TMeNDAiA/6nEG6J3w4fSHSdXbmG3VxcUVIUpYvKbWaqC+Jeis0ITfiClwTdMFroi0d8gw6fvHxY3PWZTQajZSWllJaGvUASCnx+Xw4nU5GRkbo6OhASklBQUFckFosFoAZtdOAeMuoZKGmSM2yRZkQQg88TLR9dR9wRgjxhJSyWRsjpfzThPEfA65PmMInpTyw3HUshZ1Vdv71VA+Djmmqi3LTFD0foXCEthE399yweUnHN5ZZMRt16zqurHXIhdmoo67EsqTjd1fZ+VrHVQKhCCbD+ouv6Jv04QuG2V65eNclRHvNAjQPOJUoU6RNciB/MBjk5ZdfZuvWrVRWLq62ZCqhFQgEaGlpIRQKzcjUTDwmFVJKRt0BLgz5GPJ4mQi56Rr30jXuY8AxTUQCRC1HxWZBZb7gULmecnsBxTYLJQUWCiwmrCbDDEuXZtXKN+rRJ1ixzpw5w5Ej6T0ek61x2r++ZOtcbJslqf7kfEJJCIHFYsFiscQbsIfDYdxuNw6Hg87OTrxeL0ajcYbb02QyzRDXkUiEgYEBNm/erGqnzUEmLGVHgXYp5VUAIcRjwDuA5jnGvwf4TAbOu2x2xSxILUPOdSnKusa9BEIRdmxaWtNsvU6wo7JgXVuCrgy72FZRMOODcDHsrrYTDEvaRtanNbE1ZklcaqukMlseVYVmFeyvSIvkQH6v10tzczORSGTOQP6FSIwpk1IyODjI1atX4wJvLjEw4Qnwco+DjjFvXHh1T/jwJFik8o06Npfks7e6gLftraCh1EJDaT4NJflYYzX9/H5/vCm50zlKyBvCprNRaC2k0F6I1ZqfEUGiEwJrngFrnoHlN5JaGL1eP6sBe+K19vT0EAqFsFqtcRevyWRicnKSzZs3q9ppc5AJUVYD9Ca87gOOpRoohNgMNAK/TNhsFkK8DISAz0sp/32OYz8EfAigvn5prpRktsdE2eVBF2/Yuf4q+y8nyF9jV5Wd/7g0tG5dvK3DLm7auvSPsERL0LoUZSOaKFvK0cUSAAAgAElEQVSapQyi79HFdSzsFcsnOZBfSklnZyejo6Ps2rWL5ubmJQkyuBZT5vP5aG5uJi8vj2PHjs2K/wqEIpzrneL59nGebx/n8pA7vq/KnkdjmYUDtXYaSi1Yw242l5jZt7UO3QKfi3l5eZSXl8d7bmrV+R0OB93d3Xg8HoxGY1y4FBYWzhmbttZJvlatAbvD4aC/vx+n04nf76e9vX1GEgHMrp0mhJiV7bken0HJrHSg/13AD6SUic7vzVLKfiFEE/BLIcSrUsqO5AOllI8AjwAcPnw4I7nIdrOR2uL8deueuzLkRCdga8XSH6i7quw8dqaXIec0VYXry5o45Q0w7PSzY9PS35+GUiv5Rj2XBpz8lwyuba3QNuymqtC8rDpsu6sL+WXLCNPBMGbj+sziVSyd5Ir8U1NTtLS0UFVVxbFjx+IB5cv5Yuj1ejl//jw7duyYESd1dczL8+3jvNAxzumuSXzBCAad4LqaAu573WaONxazvSL6N55IX19f1O22hPUkVufX0CxMU1NTcQuTzWYjEAjgcrmwWq05WX4isQF7TU0NXq+X9vZ2SktL40VufT7frCQCg8EQt5pqxYHhWrbnenZ7ZkKU9QOJlUlrY9tScRfw0cQNUsr+2L9XhRDPEI03myXKssXOTXZa1mkGZsuQi4Yy67IehPFaXIPOdSfKWoej34S3L9E1B1EX786qgnVbZLdtxLVk16XG9kobERktQqvVB1QokivyB4NBWltbCQQCHDhwIB44DtGHcSQSWXT/SpfLxaVLlwiHw9x44404psOcvDjE8+0TvNAxzpAzGozeUGrhzuurec2WUo5uLsKkiyz4sM9knbJU1jSPx8Pk5GS812WiNU2L18o1IpEIBoOBkpISSkqiPYO1BuwOh4OxsTE6OztnlB/RGrBrY9d77bRMiLIzwDYhRCNRMXYX8PvJg4QQO4Fi4MWEbcWAV0rpF0KUAa8BvpiBNaXNrqoCftkyvC6/xV8ZdsXda0tl5zp28cYzL5fh3oVo5uZ/Ng9nYklrikisHMofHFteDTat52rHqFuJMgUwO5B/aGiIzs5Ompqa2LRp0yxBlG6tscT5Ozo6GBkdxWer4T9au/mHr57l0qATKcFuNnBDUwkf3VLKjVtKqC2+9oVTe/DPR7atMzqdjoKCAkwmE3v27AGiyQkOh2NGvJbNZosLtVywpqWydiY2YNeSCBLLjyS7eBPj0+aqnaZle+ai23PZokxKGRJC3Af8lGhJjK9LKS8JIf4KeFlK+URs6F3AY3LmX9Yu4J+FEBFARzSmbK4Egaywc5OdiIT2EXe8V996wBsI0TPh5c7ra5c1T0HMxbserYmtQy4KzAY22c0LD56HLeU2Jjy9THkDFFly79vrXPROepkORpZlSYRoFq8Q0DHiydDKFLlKqkD+y5cvY7FYOHr06JyxVIvpXzk5Ocm5V5t51W3lJ62Snsk2dAKur7PwsVuauGlrKXur7UtO7km8lpXEZDKltKY5HA56e3vjtdwSuxCsNWtautbOxPIjGloDdofDQV9fH8FgEIvFEr9em80WF6XBYJBgMEhbWxvbtm2bUZJjrbeMykhMmZTyJHAyadunk17fn+K43wD7MrGGpbKzSrMEOdeVKGtdRlHUZJrKbXSOuRcemGNcGXaxo7Jg2X+cTeVR03rHqIdDm9fWh+By0Ny7ywnyB8g36akpyqdjdP3dQ4r0SBXI39XVxcjICDt37qS4eP4WXpr7cj5CoRDPnWvm35uneL4/jDvg4/q6Qj7++kYsji7e+NrDi17zXJ8Na6HNkmZNKyi49hmfKFx6e3vj2Y+awFlta1oksrBbeC7masDucDgYHBzE5XIhhJgRm+Z0OuP3zly103w+H2azec10aNiwFf01NpdYMOoFV8fW17f41gxkXmo0lVk52zWxrjIwpZS0Dru4fV/VsudqKr/mnju0ef30UV1uOYxEtpTblCjboGhZdVqJA4fDQUtLC5WVlTMC+edjPlEmpeRnFzp59IUuXhmNoBOCt+6p4O7j9eyvjRZ6ffHFrkWteXx8HLPZHO8DOdd51xqphIvb7cbpdM6wpiVmeq6kNS0SiWRMFCY2YK+ujrbJC4VC8QbsIyMjeL1efvvb386IxdOSCLR4xi984QscOXKEEydOZGRdy2XDizKDXkd9iYXO0fUlytpGXOQZote2XJrKrXgCYUZcfiqX6epbK4y6/Ex5g0uq5J9MXXF+VNivt3to2BXvEbtctpTbON05QSQil9SuSZF7aA++QCDASy+9xJEjR2hra8Pn87F///4ZgfwLkUqUBUIR/v18H197roMuR5jCfAMfvKme3z9Sy6bCa59Ti/ki6Xa7uXTpEvn5+QSDQbxeb7wxeWFhIQUFBfF2T7mAECJuTaupqQGirr1ozTRn3A04PT1Nb28vhYWFM9yAmSaToiwVBoOB4uJiiouLkVJy5swZduzYgcPhYHx8fEYSgd1uJxQK4Xa7sdnS9wb09vZy9913Mzw8jBCCD33oQ3ziE5+YMUZKySc+8QlOnjyJxWLhG9/4BgcPHkzvGhZ1xeuUxjIbnevMUtY55qGxzJqRB2BioPZ6EWVXhpdff0tDE/ZX15klqHXYnZH3B2BLhRVfMMyQc312z1DMJDGQXwhBKBTizJkzNDY2snv37kWLmsRA/zG3n++e6eNfT/Uw6QvTUJzH596+nbdft4l809KStbQG5yMjI+zevZv8/Pz4+fx+Pw6Hg9HRUTo6ooUB9Ho9JpOJ0tJSzGZzzog0iLZQSramnTp1Cp1OR19fH263e0ZhWLvdTl5eXkbOnW1RlnwuvV4f72GqdYLQ6sQ5nU6+/vWv8/jjj/PCCy/wq1/9invvvZeGhoZ55zUYDPzd3/0dBw8exOVycejQId785jeze/fu+Jinn36atrY22traOHXqFB/5yEc4depUWutWooyoJejZttF19S2+c8zDtorlW4EAGmMxU51jnnXTKkcT4VvLMyQ6ym3rygUejkg6Rt3ctC0zv+8tCS5eJcrWL8mB/D6fL97O6IYbbliyq0wIgdcf5MvPX+G7Z/oIhiWHqvK498493LytfFmiyOl0cunSJSoqKuLuVC37Uggx66EeDofp6urC7XbT2trK9PR0POBcs6at9SzIZPR6PTU1NTOsaXMF1S/HmraSoiwcDqc8V2KduM9+9rP09/fzkY98BK/Xm9b9WVVVRVVVNOyloKCAXbt20d/fP0OUPf7449x9990IITh+/DhTU1MIIaqklIMLza9EGdHssEAowoDDR23x8t19q00oHKFnwsubd2/KyHxVdjNmo25duec6xzxYTXrKCzLzDbCp3MavrowQCkcw6HPrAzkVfZNe/KFIRkUrQMeIm5u3rUQTGMVKkiqQv7u7m6GhIXbu3ElLS8uyYpe6HGH+7BfNdE1M89oaPR99404ObFlePKhWNmN8fJy9e/fOCJifD71ej9VqxWg0Ul9fPyvgvLW1dUb24FrMgkwkVaxwqobkHo8Hp9NJf38/brc7fo1avFY61rSVFmXpZHp6PB7q6+tpampa9Dm6uro4f/48x47NbGLU399PXd218q21tbW0trbWAEqUpUNj2TVL0HoQZQNT0wTDkqbYdS0XnU7QUGpdVy7erjEPm0vnDuJdLE3lVoJhSd+kj4YMve+rSde4F7hmJV0uZTYTBWYDHetI2CuiJFfkdzqdXL58mfLyco4fP76sh3AkIvnab7r5Pz8fpcAEn3tjBb93095lP9inpqZobm6Odw1Y7OdA4vhUAeepLE2JWZA2m21Fi9MudJ6F1pJYmT/VNQ4MDBAIBGaUqEhlMdSKx64E6Zbf8Hg8i4op03C73Zw4cYIHHnhgRneG5aJEGTNF2Xr4Ft85Hn3wZVIcbCm3cWlg/TSV7hr3sqsqM+5dgC3xshju9SHKYgJ8c2lmvqQIIVQG5jojuSJ/OBymra0Nj8fDddddF6/CvlQGHdP89x9e5HT3FNeXC/7i1ib2bm9c1pzaGp1OJ/v371/WGucTTcmWpsSaYokV+hPjtlar3+VSs+pTWdM0i+HAwEDcmpaY6blWLWXpWkk1gsEgJ06c4L3vfS933nnnrP01NTX09l5rCd7X1wdzdzqagRJlQEVBHhaTft1YgjpjD76GssxZ/RrLrPzHpSECoQgmQ26750LhCL0TXm7bmxn3LlxLhrg66uGNuzI27arRNR5z79oy496FqLB/vn00Y/MpVo/kivwjIyN0dHTQ0NDArl27Uj7kF/NAPnlxiE8/cZlgKMyf3VTBLZvNFBUtT+RNTEzQ0tJCbW0tO3bsWJaVfLF1yhJritXWRgt6a/0uJycn6erqIhKJUFBQEBcwWqPubJOpUkdzlajQMj01oZafn4/f7896/F26oszv9y8qkUFKyR//8R+za9cuPvnJT6Ycc8cdd/DQQw9x1113cerUKQoLC0knngyUKAOiN1Nj2fpxz3WNe7HlGTL6QG0qtxKOSHonvfH4oFylf8pHKCIzatEqtpoosZq4uk6K7HaPezPq3oVoBuYPz/Xhmg5SsIwG54rVIzmQf3p6mpaWFgwGA0eOHJkzdkqv16clytzTIe5/6jJPvjrM1mI9/+ddB9leXUJHR0faFf2TCYVC+Hw+rl69yvXXX79mioSm6nep1djq6OjA6/UyPT1NV1dX3Jq22N6f6SClzJowMhgMM6xp7e3t5OfnI4SYEX+X2D4pU2J0rkD/VCzmc+6FF17g29/+Nvv27ePAgQMA/M3f/A09PT0A3Hvvvdx+++2cPHmSrVu3YrFYePTRR9OeX4myGI1lVl7tXx/uuc4xDw1llow+UDUX79VRT86LMk18N5Rm1s3YVGZdNzFTXeOejBQeTkS7b66OethfV5TRuRXZJVUgf29vLwMDA+zYsSP+0J2LdCryv9Lr4BPfe4VhV5B7DpXx57fvw2jQp318KkZHR2ltbUWv13Po0KGMfSZmo6J/cmuhcDjM2bNnMZvNcUskMMMdmAkBs5JFwaWUWCwWiouLZ1jTtNi0oaGhWdmsNpttSWI0nZiypfwOb7rppgWPE0Lw8MMPL3puUKIsTlOZlZOvDq4L91znmIfrajPbMkpzz0XbLeV2Y3ItXiqT7l2IWhN/2ZL77jnNvfuWPZlz78K1uLurY24lynKI5EB+l8vF5cuXKS0t5dixY2k9MDVL2Vy0D03x/m+exWoUfOueAxxtmlmKZbGiLBgM0tLSQjAY5NChQ5w7d25RwmMttFESQqDT6di0aVO8UXcqAZOcQLBYq9dyWh8tllTWUoPBQElJCSUlJcC12DSn0zmrfZJmMUynNly67kvIfoP5xaBEWYzGcisRCT0TXrZW5K4lKBCK0Dfp5Z0HqjM6b6HFSKnVtC7KYnSNezMeLwXRshjff7kPhy9IYX7uuucGHdHs3YYMBflr1BZbEAJ6xn0ZnVeRHbRA/o6ODsrLyzGZTLS3t+Nyudi7d++iMtZ0Oh3hcDjlOTq7e7nvh20IIfi3Dx6nLkUXksWIsuHhYdrb22lqamLTpk3xB24mLUKrJdrmEjAOh4P+/n5cLtei2yitpKUsHRd2YmyaVg9ME6NOp5OhoSH8fj/5+fkzMj2TBVg6oiwUCmXFJbwclCiL0Ri3BHlyWpT1TnqJyMxmXmo0lVvXRYHUrnEPDWWZjZeCay7errHcds91jWfHvWs26tlkN9M9kfv30HonMZDf7XYjpWRgYID6+np27ty5pIr8yaLK7XbT3NzM99rCdDolD921L6Ug047XsjznIhAI0NzcjBBiVnybJqLWkkVkIdItVZGqHIfD4ZjRlNxms81oSp4471oTZalIJUZ9Ph8Oh4Ph4WHa2tpmNCMvLCwkFAot6N5dajmMbKJEWYzGUq0sRm6757QentkQZY1l68M91zXmYU91Zt27cK18RO+kN8dFWbRGWTbuofoSCz2x+RVrj+RAfr/fz8TEBD6fj8OHDy+53U6i+zKxpdGgYRNPtXZw9/E63ryrYs7j57NMSSkZHByks7OTbdu2UVExe57FWLa0LM3kArCJJSvWgntzLpLbKCWW4+ju7sbj8WAymeLXpdfrVzSmLBNJBUIILBYLFotlhjUtsRm5w+GYlemZbBVzu93LLt2SaZQoi6G553I9A1OzcmSqcGwim0utjLn78AZCWEy5eesEwxF6J338znXLqwaeirpY4eGeidwWHV1jHsxGHRUZ6naQSH2JhV+35r6wX28kB/JDtPFyf38/drudmpqaZfU/1NyXDoeD5uZmKioqqN5+Hff982n21dj58zdvW/D4VO7L6elpmpubMRqNHD16dM5aX+mIqFAoFK+ztm/fvngh3KmpKXp6egiHw/GSFVqyQy4wVzkOrUn35OQkfr+fK1euxK1MWoZkpslmnbLEZuQAbW1t8SK9mksbiFvTCgoKcLlci7KUvf/97+epp56ioqKCixcvztr/zDPP8I53vIPGxmg9vTvvvJNPf/rTi7uORY2eAyHEW4EHAT3wVSnl55P2vw/431wrnvaQlPKrsX33AH8R2/7XUspvZmJNS6GhzJrzMVOdYx6KLEaKLJlv61Efcy30TvjYkeHMvJWib9JHOCIz7poDsOYZKLOZ6M1xUdY97qEhw+UwNOpLLIy4/PgC4SU3j1ZkluRAfs2tWFJSwrFjx+jq6koZD7ZYuru7CQaD7Nu3D5PZwl1fO4NOCB74L/sWTK5KFmVSSvr7++nu7mbHjh1xq1C6xyejWcfq6urYuXMnoVCISCQyy+KkWWJGR0fxer34fL6s9bzMpujLy8ujoqKCioqKeOukyspKHA4H7e3t+Hy+eMzWXFampbDSDcm1LE4tUSIcDscTJX7zm9/wmc98Bp1Ox+c//3luvfVWDh48OO+c73vf+7jvvvu4++675xxz880389RTTy153csWZUIIPfAw8GagDzgjhHhCStmcNPR7Usr7ko4tAT4DHAYkcDZ27ORy17UU6kssnO6cWI1TZ4yu2AM1G2jxHj0T3pwVZV1Z6HaQSF2JJfctZePejPW8TKY+wcW7vTI376H1QqqK/FevXmVqaoo9e/bEq5zr9fplibLR0VEGBweprKzkwIEDCCH43E9auDTg4uH3XEdt8cJ1wxJFldfr5dKlS1itVo4dO5ZW2565LGWJ1rGFapglujNtNhvj4+PU1NTMqGCv1+vndHkuhZVwK2ouxaKiIoqKiuLbUsVsJV7bUiynK5npmSrQX6/Xx61pDQ0NlJSU8P3vf5+6ujo6OjoWFGWvfe1r6erqyuKqM2MpOwq0SymvAgghHgPeASSLslS8BfiZlHIiduzPgLcC383AuhZNXYmFx1/pz+myGF1jXo40FGdl7vqS3HfPdWWpRplGfYmFs92r8p0iI4Qjkp5xL2+cJ75nOWj3UPe4EmWrSWIgvxCCsbExWltbqaurY/v27TMenEsVZYFAgJaWFkKhEDU1Ndjt9qhL0BfkX8/08Z4jtbxpZ3r3meb+7O7upr+/n507d8aDvtMhlShLto4ttmQGMCuuSQuyT+XyzKZbcDmkCvSfK2Zrrl6X6ZbjWOk2Swudy+v1UlNTw3vf+96MnffFF19k//79VFdX86UvfYk9e/Ys6vhMiLIaoDfhdR9wLMW4E0KI1wKtwJ9KKXvnOLYmA2taEnXF+UQkDEzlZlPpYDjCoMNHfUl23sJiixFbniGn3XNdYx5sMTdjNqgvsfDkhQGC4QhGfe4J+yHnNIFwJGuidXNs3lwW9rlMciC/JpwADh06lDJbTa/X4/f7F3UOLfB+y5YtVFZW0t3dHbd0XRl2IyW8fsf8LsdE/H4/w8PDVFdXp10bLRGdThcXZeFwmNbWVtxud8Yr/KcKstdcnppbMFHIZLPNULqkm32ZKgNSSyDo6+vD7XZjMBjmtRRms3tAMukUj8109uXBgwfp7u7GZrNx8uRJ3vnOd9LW1raoOVYqWvtJ4LtSSr8Q4sPAN4E3LGYCIcSHgA8B1NfXZ36FJMRMTXpzUpQNTPmISKidI618uQghqCux5LQo65nwUl+S2W4HidSVWOLCfnOWhE02yXQj8mQ0Yd8zntuxm7lGqkD+vr4+ent72b59e7zVTyoWYynz+Xw0NzeTl5c3I/A+cY6WIRcAO9OwlEYiEbq6uujv76ewsJAdO3aktY5khBBEIhEmJye5fPnykqxjyfOlE/OV6PKsr6+f4RZcyOW5UokES3UpCiGw2WzYbDZqaqKGgEAgELem9fT0EAqFZlgKVzI5Ip06ZZkWZXa7Pf7/22+/nT/5kz9hbGxswZjHRDIhyvqBuoTXtSR1Q5dSjie8/CrwxYRjb0k69plUJ5FSPgI8AnD48OGs/Gbrctw91zsRLcqpZQFmg7ri/JzOUO2d9MUry2eDRBdvToqyLNUo0xBCRMti5OjfWC6SHMjv8Xhobm6msLAwrZisdESZlJKenh76+/tTtl1KrDPWMuym2GKkomB+a7XL5eLSpUuUlpZy3XXX0d3dncbVzk1HRwd+vz8j1rHliLm5XJ6akNFcnjabjUgkkvU6Ypm0XplMplmWQrfbjcPhoLOzE6/Xy4ULF2ZU508nJnAppCPK3G53yhIqS2VoaIjKykqEEJw+fZpIJLJgC7JkMvFunAG2CSEaiYqsu4DfTxwghKhK6JB+B3A59v+fAn8jhNCCoG4FPpWBNS2JSrsZo17ExU2u0TsZfdDVlWSv4W59iYVn20ZzrhAjRD98+ia9vG773FaB5aJZmHJVdPRO+DDpdWyyZ6YpcCrqSyy0jriyNr9iJqFQiHA4TCQS4erVq0xMTLB79+4Z3+rnYyFR5nK5aG5upqioaE7Xol6vZ3p6GoCWITc7NxXM+fmhrXNsbCy+To/Hs+SG5JOTk4yPj1NfXx8vdbEQ6YzJlNVnLpenVh/u9OnTWXV5ZvOzPLHZeF1dHWfOnGHHjh04HA7Gxsa4evUqwAxrWjotlNJloXkWayl7z3vewzPPPMPY2Bi1tbV89rOfjX/ZuPfee/nBD37AV77yFQwGA/n5+Tz22GOLvpZlizIpZUgIcR9RgaUHvi6lvCSE+CvgZSnlE8DHhRB3ACFgAnhf7NgJIcTniAo7gL/Sgv5XA71OUFtsiYubXKN3wotBJ6gqzKIoK7UwHYww6vZTUZC9B3c2GHMHmA5GqEsj22upVBaYMel1uSvKJr3UFOej02VPcG8utfDLlhEiEZnV8yii6HQ6JiYmaG1tpaamhmPHji3qQTGXKItEInR0dDA+Pr6gyNOyJ0PhCG0jbn7/SG3KcVods8rKSo4ePRoXH0tpSJ4YO1ZaWhq3YGSCbH4h1VyeFouFqakpDhw4kLbLcyms9Bdss9mM2WymsjJapD2xTMXIyEjG4u7SEc2LFWXf/e78OYj33Xcf991337xjFiIjdkMp5UngZNK2Tyf8/1PMYQGTUn4d+Hom1pEJaovzczZmqnfSR3VRPvosPujq4rXKvDknyq5ZErPn3tXpBLUluXsP9U360ipRsBzqSiwEwhGGnNNUF2X3XIqoS6W3t5eDBw8u2HYmFalEmRabVVVVNUM8zYUmqronfPhDEXZumvkgDIfDtLe3MzU1xb59+2Y9KBMD9dNBW19tbS07d+6kubl5yZa2uch2fJQmlhbj8lxKludqez0Sy1Ro69FE6ODgIK2trXGhqrk9l1PIOBHVZikHqCuxcPHVwYUHrkF6J7xZdV3CzKr1hzann5K+FtCEUjZFGZDTMVN9E15u3bMpq+dIdPEqUZZ9Nm3atKhA42QSRVkoFKK1tRWPx8OBAwewWNL7W9LmGJqMhoZUJrjHNQFVXV3N0aNHUwoELVB/IcLhMG1tbbhcrhnry3RbpNUO3chkludKibJ03/+5RKhmTevv7ycYDGK1Wmf081yKNU2JshygvsTCpDeIazpIgXl5hf9Wmr5JL2/ald2+nZoVJRfj7vpiD4SaLAuB+hIL53KwVpk3EGLcE8i6pSyeDDHu5XjT4oJgFYtnuQ9cTVCNjIzQ1tbG5s2b2bVr16Lm1SxlB+oKMeoFv2gZ5Ui9nba2Ntxu94ICLx33ZaJ1bMeOHTPWtxhRpvXmDIfDFBUVxftDJrOW2iwtN8tzpUTZUs9jNBopLS2NB81LKXG73TidTnp7e3G73RiNxhkiNJ1zeTyeeJHktYISZUlolqDeCR+7q3NHlHkDIcbcgaxbgcxGPZvs5py0BPVNeim1mrDmZfe2ry+x4JwOMeUNZKXdVbbQRGu27yHNxZ6L99BGRGv0PDAwsOSm5JqoKsw38oYd5Tz520FuLhilqWFzWqUp5hNlc1nHko9PR0S5XC4uXrxIeXk5FotlRjC69sAvKipa8yImXZenzWZDSonZbM66OMtk4VghRLyfZ2I5DofDweTkZDzT8/Lly/Hfm8UyuxSS2+1WlrK1jub+6530srs6veyktYD2QM22lQOi71EuPlB7J3xZq+GWSGJpldwSZdHfabbvIaNeR3WRme4cvIc2Eon9JQ0GAwcOHFjyXJq1LRgMcqAowE99IfzF26mrq07r+LksXfNZx5KPn8/SplnHRkdH2bt3L/n5+YRCoXjPRK2a/dTUFP39/fj9fqSUDAwMUFRUtCYr9Sczl8uzp6eHsbExRkdHs5rlme1q/iaTifLycsrLy/H7/XGXuMPh4OrVq3i9Xsxm8wyX52ItZQs1JJdS8olPfIKTJ09isVj4xje+sWDrpmSUKEuiPiGQPZdYqXgp7RwvdowvPHCN0TfpZW9NYdbPk1ir7LraoqyfL1NoLumVEPbvu7GREmvuWKJzmaWIheT+kqdPn17WGnQ6Xby8wxt3N/DP5z08fXmcW/emL8oSScc6lnz8XJYyt9sdr4emJS1oHQ80kqvZu1wuOjo6CIVCdHR04PV6sVgscXdnOi2HVhvN5VlcXExpaSlVVVVZz/JcyRZLiWvXzsb+pEEAACAASURBVD89PR1vKH/33XfT1dXFpz71KW666SZOnDix4PUt1JD86aefpq2tjba2Nk6dOsVHPvIRTp06tai1K1GWRGG+kYIcbCUUF2VZLByrUV9i4cfn+/GHwuQZFtfuZLUIRyT9Uz7eurcq6+fK1SLEfZNe8gw6ym2ZyWyajz++qTHr51AsnkgkQnd3N4ODg+zatSueEbcctFZO09PTvOY1ryEvL4/b97r44fkBXNMhCsyLewxp1rGampp5rWOJpHJfSinp7u5mYGCAPXv2xB/e6aDT6TAajfHuMlJKvF7vjJZDRqMxLtLmiktbCyw2y9Nms8WvazEWwnR6UWaKVC2WhBDk5+eTn5/Ppk2bePLJJ7nxxhs5ceIEp06dSmttCzUkf/zxx7n77rsRQnD8+HGmpqYYHByMv5/poERZEkIIakss9E7mViB776SPfKM+az0dE6kvsSAl9E/6aCpfW/74uRh2ThMMy6xnpwLY8gwUW4xxl3KuoJXDWOtuGEV2cDqdXLp0ibKyMo4fP77sB6iUkuHhYTo6OmhsbGR6ejoej/aO/VX825k+fto8zO8dTK9Xr5SSlpYWnE7nojI/YbalTLME2u32JfXSTNXA22q1YrVaqa6OWv/8fv+sIqmJcWkm0/yf1SsVgD9fm6X5sjw1C2F+fn5cpK2FLE9Ir5q/Zrm75ZZbeP3rX5+R8/b391NXd63BUW1tLf39/UqULZf6knw6RnOrlVDvhHfFHqiJlqBcEWUraUkEqCnOpz/HRFnvpHdF3N+KlWWhz4TEGmF79+6dM8ZmMQ9Vv99Pc3Mzer2eI0eOYDQaZ1gY9tfaaSyz8JVnu7h5axmV9vmts1NTU3g8ngVjx+ZCiynT4uR6enrmtQRmoqJ/Xl4eFRUV8TY+yXFpwWAwXltsNePSFuNWTMzy1I5N1+WZ7ZiyRNIRZRpr7UuoEmUpqCu28OvW3Gol1DvpW7EHqlZSon8qd0THSiZCQPQ9yjVh3zfp40Bd7sTAKdJnrpiq8fFxWlpaqK2tnbNGWOLxC30easHvXV1d8zY6F0Lwxd/dwz3fPMf7v3WOb//RIUqssy1HmmB0OBxYLBY2b96cxtWmPl8gEODcuXPk5+dz9OjRZfVcXMpzITEuLRiOMOEJMDzh5LcDU4w0DzHhniakMxLW56E35GHJM+Ce8tMaHiTfqCffqCPfpKcgz8DmkvxFu33nYqWyPE0m04r08oT0XKVLbcQ+HzU1NfT29sZf9/X1xbND00WJshTUleRWKyEpJX0TXo42LD/+Ix0q7WYMOpFTlqDeSS9CRC1YK0FtsYVnW8dyRti7poNMeYMrZklUrC7BYJArV67g9/s5ePDggg26DQbDgg86n89Hc3MzZrM5rUbn19UW8k+/v58PfucVPvCd83zrnkPYEoTG1NQUzc3N1NTUsH37dl588cXFXWQMKSUul4vx8XH27t27rEK6yfMuRDgi6Z300T7qpW3EQ9uoh/ZRDz0TPsIpDw8BPgQQ332pLeXclQUmtpRb2VJmYWu5hS3lVnZUWDEbF+eKzfRn1Fwuz8HBQZxOJ6dPn07b5blU0rGUaQV2M8kdd9zBQw89xF133cWpU6coLCxclOsSlChLSdwSNOnLCVHm8AVx+UMrZinT6wRVReacspT1TvioLDCvWGJCTVE+vmCYCU+A0hUInF8u1yyJSpStZ5LjvKqqqtIOlA+Hwymz06SU9Pb20tvby86dO+MFPtPhWGMJX373dXz0uxf48L+9wlf/4HpMeuLWscXGjiUTCARobm5menqazZs3Z0yQzfWehSKSC31Onm2f4KXOSTrGvPhD0VIcAqgrNrO13Mqbd5ZTUWCiwGzAnvRTYDZg0Amcbi8XW1opLK1gZMLBhMONPyyRJgvjAQMDHknn+DTf7xmMn8Ni0nPLthLeuruC1zQVYzIsLHay/cVRc3mGQiGMRiNNTU2zXJ7aGE2oLSfLE1IH+ifjdruxWq2LmnehhuS33347J0+eZOvWrVgsFh599NFFr12JshRo1pT+KR/X16+M9Wk5XCtlsHIP1Jqi3IqZ6pvMfguqRBLvoVwQZVrM3Uq5dxUrixAibskyGAwcOXJkwUDzROZqSu7xeLh06RIFBQVpWcdSccv2Mv73iT188gcX+ci/nuX924LU19Zw5MiRWWJhMQJC60CwdetWgsFgyvUvB81S5vAFeb5jkmfbx3m+YxLndAiDTnCg1s67D1WxrdzKtnIrjWUWLKb0vxSaDDrsZgN7m2qgKeoCS4xLczgcBGtCWG0l+HRWRgMGTvV6+PmVMU5eGqUgT88bdpTxzv2VHK6fOyxhJRMKdDpd1rM8IWopW+heXEqLpYUakgshePjhhxc1ZzJKlKUg/kDNEdHRP7XyD9SaIgsvtI+t2PmWS9+kj6ONK9erszbhHsqFWmUrVc1fsTr09vbS1dXFjh07lmQtShZlieUkMlE64y27yvno0WIeOjWJxVTCl2+on/UQ1qr6L2QBCQaDtLS0EAqF4uKzv78/o22RJPDKcJB/+LffcrprioiEEouRW7aX8rqtJdzQWLzsmK9U602ulxaJRHC73UxNTZEXnKCkzMs7am10+vJ4qT/AL66M8fhvh/nd/ZX8+Zu2pFzTSouyVGQyyxOiomyhzhNrsZo/KFGWErvZSIHZkDPuuf6paSD7PR0TqSnOZ9g1TSAUSctEvpoEwxEGHb4VFa21RVFxkyv3UO+kF4tJT7FFFXRdj+Tn5y/ZkgUzRZlWbLW4+P+x9+bhbd51uvfn0S7LkiUvcWx5j+PYTpzNdtJlgE5LoZRS6GFpWcuUvMBhOcBcUyZzmGGAeTmUmQMzw3TmZSmHdgaYUijQhe4L9AWmTdLVux2vseXdkmzt23P+cJ4nsiNbi23pCei+rly25WeVFP1uf7/3975tadtJJCIAknbsba2VFFpLuePxIT770y6+dEMzpXFV5lRImTS4sL41m2rMkoSlpSU8Hg82m21NlSYUifGr7jnufv4cI4t+ys06PnJFNVftLeFApRnVNpObVOKnLBYLFstq+ow0DVnuctFS5ObGSg2PjKt54LVZfnt2kS+/tYnX7V1LypVAytZjsynP6elpBgcHN215piL093q9abcvs4E8KdsAl1J7bsrpp0CnxprFBbXKakQUYcYdoKZE2dWVGXeAmJhd0moxaijUay4Zr7JJp59q28XZcHn8YaC0tDRpoPdmUKvVhMNhhoeHmZubY//+/TIRSBXrSVUsFmNoaAi3282hQ4cwmUz8WR2IInzz6bO85V/+i89d08jNHXbUKmFTYhWJRBgcHMTv99Pe3o7BsFYLnCxmSUI0GmVgYACfz0dRUZFcpRF0BTw3DQ8PrLDoi7BvVwH//bCR/+e6drRq5fxRGt8alPzSOo8GuW5ohv/1zCSfuK+X2w7ouKG1RCY02XLa34olRiotz0gkIluMBIPBpOfKV8ouMVTZjJfMgjrl8lFpza7HjdTinXT5FE/KHOerVdmavITVDxG79dJ5D006/Vl9fvLILrb62RCJROjv78dut3P8+PGMFtd4UuZ2u+nt7aWiouIi7dhtV9Zy1b5SvvxwP1/+VT8/f8XBl25o3pBYSQ7/1dXVtLS0JLzXzWKWJLjdbnp6eqiurqapqYlIJIJKpeL5USdfeKif2ZUwh3Zp+XCzloPlKoLBID7Pyo5MD24n9Ho9rz9Qy/Hmak786DUeGgtwy+U2PJ5lpqamWFlZIRgMUlpauqN+abFYbEs2JOuxWctT0tyZTKYNW57p5l5mC9vyDAmCcB3wz4AauEsUxTvW/f7PgROszvvOA7eJojh+/ndRoOv8phOiKN64Hde0VditRl4YXcr1ZaQEhyuQ1SoQrJ1QVTqkFmK2n6Mqm/GSaV86XH46apU/1JJHdhGLxTh79iwLCwtUV1fT0NCQ8bGkatvo6Cgul4uDBw9u2D5qKDVx961H+VX3LHc8Nsi7vnuKa+v0/HV9SK6CxXuYJZvS3IyUxWIxRkZGWFxclCt20WiUQDjKv/xmlB+enqKu2MgPP7yfQ/bV6uDKygo9PT1yK02tVmO1WrFarVgslm0hH9vdVtRrVPyPq+q47Yev8fRYkA8cW30tpdzPUCi0JsdTqqRtV47nTpvHxrc8V1ZWqK2tRaVSrWl5qtVqLBYL0WiU+fn5tNqXjz32GJ/5zGeIRqOcOHGCkydPrvn93Xffze233y77kn3qU5/ixIkTad/Hlt85giCogX8FrgUmgdOCIDwoimJv3GYvAx2iKPoEQfjvwN8DN5//nV8UxcNbvY7tht1mZCUQYTkQxmJQts5myuWnrWrng7bjUWE1yOdWOiTiWJlt4mozcnpM+cTeE4zg9ofzlbI81kDSelVUVFBXV7flBTUajfLSSy9RVVWVcLJyPQRB4Ia23bxhbyn//MwwP3zhHC9+72VOvqWJ19cY6evrS1hpSwSpSrceXq+Xrq4uysrK6OzslO+xd3qF23/ew+iin/d1VPLZq+sxxvl/GQwG9Ho9zc3NwKr1hsvlYnFxcU2kkkTUtmrxsF3orLXSUl7Ig6/N8oFjF0xNzWazTFAk/ZaUPLCysoJWq5XvJ1PSmW1Hf41Gg8FgSNjyfPzxx7nrrrvwer0MDAzw8Y9/nPb29k2P98lPfpInn3xSfv/eeOONtLa2rtnu5ptv5s4779zStW9HpewYcFYUxREAQRDuBd4OyKRMFMVn47Z/HvjANpx3R2GXhNpOP5YKZfyHSgRfKMKSN5T1KpBeo2aXWX9JVMocbj+lhbq0TRW3CrvVyPIlQOyl9m62SWse2UO6dgJDQ0MsLy/LlSMpFigTSNU2j8dDW1vbhi7/G8Fs0PDX1+/jQKGXe7oD3H5/Dy3Fav72ba3U1ZWndIz1lTLJW21ycvKiMPKuqWU+ePdLmA0avvPeNq5ouLiCvP54Op3uokglqY127tw5otEoFotFJjbrNW/Zgj8cZdzp5y2tF16D9RW5RLq0jUhnqjmeoIyYJanl+f73v5+ZmRnq6+vZt28fVuvmE/KnTp2isbFRrhTfcsstPPDAAxeRsu3AdpAyO3Au7udJ4Pgm238EeDTuZ4MgCGdYbW3eIYriLxPtJAjCR4GPAtTU1GzpglNBvC1GS0V6gtZswpGj1hycz3e8BCplk05/TghH/HtIycReIta5eA/loSxI04vV1dVrMibVajWBQCDt48Vrx8rKytLyRluPOouKz7VFeaWuhP941c0t93RxpHqCdx6p5PoD5Zj0Gy9n8SQqEAjQ3d2NyWS6aHr03JKPj/3oFYpNOu754EHKLZmRJ41GQ0lJiWykG41GWVlZweVy0d/fTygUWuPDVVCQnSGb584u4QtFuX7/LvmxVNqkiUhnujme2SZlqUxfWq1WLrvssqTHSxQ0/sILL1y03f33389zzz1HU1MT//iP/7hmn1SRVaG/IAgfADqAN8Q9XCuK4pQgCA3AM4IgdImiOLx+X1EUvwt8F6Cjo2P7DGc2QOUl0p6T7TBy0HqyW428NunO+nnThcPlp6k8+4JOycxX6cQ+V5q7PJSDSCTCwMAAfr8/YezSRuaxG0GqjjmdTlk71tvbm9EEqCiKjI2NsbS0RFNTE6+vquIDbwjxy1em+dnLDv76wT7+12ODvGV/Oe9ur+RwVdFFhEAiZTMzMwwPDyf0a1vyhjjxw1eIxkS+9/5DlBVu/IdUKoMD8YjXnMHq8+P1enG5XIyMjMg6LmmbwsLCbdeU9c14+ObTI+wy62ivuVAZzOQ8m/mlbaRLyyYpS+VcmZjHboa3ve1tvPe970Wv1/Od73yHW2+9lWeeeSbt42wHKZsC4ulg1fnH1kAQhDcCXwDeIIpiUHpcFMWp819HBEH4NXAEuIiUZRulJj06jUr5pCyHVQ67zcjjPTPEYiIqlTKtFERRZMrl50/37Uq+8TbjUglud7j8aFQCZWblJw/kkRk2W3Tn5+cZHBykrq6O1tbWhNumQ8qk6tju3bvXhJxvpOvaDD6fj+7ubqxWKxUVFTJZLDbpuO3KWv7sihpePufmZy85eLRnlvtfdrCnzMS7jlTy9kMVlBSuVuZisRgLCwuEw2GOHTuWUON1+897mHYHuPvWo9SXmgiFQmldazpQqVSYzWbMZjPV1dWIoojP58PtdnPu3Dk8Ho/8nLtcLiwWy5YIzYOvzfKVR4coMmr4p3e2oo77vN4O8reRX1q8Li0UCiGKotzK3c5JzPUQBCHpPaVDylIJGo+PFztx4gSf//zn07jiC9iOZ+U0sFcQhHpWydgtwPviNxAE4QjwHeA6URTn4h63AT5RFIOCIJQCV7I6BJBzqFTCJeFVNuXyoVYJGZfZt4Iqq5FwVGRuJcjuImVmhC55QwTCsZy0L0sLdeg1KiadvqyfOx1MufxUWA1rPqjz+MNHKBSiv7+faDSa0NsrHqmQslgsxvDwMEtLS7S1tV204KVD7OI1X62trVitVgYHBy8idYIgcLTGytEaK//zLU082j3Lz15y8PUnhvjGU2e5prmMNzUWYvZOYtDrOXToUMLzDcx6+O3ZRf7i2kaO1liTksd0K2XJIAgCJpMJk8kk67gWFxcZGxtjdnaWoaEh1Gr1GrPUVEiNJxjhn58d494XHXTWFvEPN7VQYlrbQt4J89hEurTXXnsNk8mUUJdWVFSU1IF/u5GOT1lnZydDQ0OMjo5it9u59957+fGPf7xmm+npaXmg4MEHH6SlpSWj69oyKRNFMSIIwqeAx1m1xPg/oij2CILwFeCMKIoPAv8AFAI/Pf/iS9YXLcB3BEGIASpWNWW9CU+UA9itRiYVXuWYcvrZbcnNgiq351w+xZIyRw7bu4IgXBK6O4fLT2VRvnX5x4TZ2VnOnj3Lnj17KC8vT7ooJyNUG1XH4pFqpWwjzVey/Qv1Gt7dbufd7XaG5jz89MUpfvHyFI/3zmEzamguDjHEOTpqrTTtKlxT3f/P05PoNCredbQy6fVlCzqdDqPRyL59+4BVEu12u1laWmJ0dBRgDUmT9HqiKNIz7eFnL0/zSM8c/nCMW49X8dmr69EkWCey5eivUqkoKSmRrUskXZrb7U5Zl7adSMenTKPRcOedd/LmN7+ZaDTKbbfdxv79+/niF79IR0cHN954I9/61rd48MEH5dbu3XffndF1bUv9UBTFR4BH1j32xbjv37jBfr8H2rbjGnYCdquRp/vnkm+YQzhcgZxZGcgGsk4/7bU5uYSkkHJBc6WXuiSqrU4/l+0pSb5hHpcspMUtGAzS19eHIAhphZKr1eqEhChZdSweyUiVKIo4HA7GxsZobm5e0w5KZf94lBtiXFW0yHtuaWDIZ+Cx7mlOjzn5r0cGALAYNLTXWGmvtdJaYeb+lx289UA5toLUno/trpRtdh4JOp2OsrIyeXo1Xmx/7tw5PMEIrzi1PDsR4uxiEKNWxXWtZbznaCUHKjcmH9mMWYofqthIlxafd5mJX1qqr0u65rHXX389119//ZrHvvKVr8jff+1rX+NrX/taysfbCHlH/01gtxlZ8AQJhKNZt1NIFVMuP8ezGLQdj0tBMzWZ48nCKpuRJ6dXcnLuVBCJxphZzr75cB7ZhUR4RkdH2bt3rzxFlyrUajWRSGTNY6lUx9YfY6NqWzAYpLe3F61Wu2FGZyr5laIoMjIywvz8PAcPHqSwsJBG4A0NFgYGBthV38zpcRdnxpycmXDx7OCCvO8vXpmmymqko85KvRm8yy5sNlvWJiPThT8Cg26B7mkNXQ49vx/1EQgHqLdp+fABA+2lImXWCFZxGa9XteF9xGKxrJGyzc4Tr0uTdHaZ+KWlSjLz2ZeXIKSFatodoL5UeS+evKDmqFJm0muwFmgVXQlyuAJZzwWNR2WRson9zHL2c0HzyD7C4TAul2tDkXsyxFfK0qmOxUOlUiUkZdJEZDKymCy/0ufz0dXVRXFxMceOHVtTVZEqW3arEbvVyDsOrWp/FjxBvvv/j3HP86si7jt/PYIIqAUoL9RQYpjApotRYdFRW2qmcbeNxgobpYWZW3tkglAkxuCcly7HCt2OZbocK4wuXvjcrSs28tb9u3jn4d0cqDTL9ytNRI6OjuL1ehNWnpSafZmqX5rFYpFbuHq9fkOPsvWIRqOKMfWNR56UbYJ4nyklkrKZ5QDRmJhT00+71Sh7pSkRucgFjYf02sy4A9Qp8D0kae7yxrF/2NDr9VsyupQI1fLyMj09PSlXx+IhxSxJCIfD9PX1IYpiSq3UjdqXoigyNTXFxMSEPBSwHhu1G0sL9by1bTf3PH+OO9/dinZ5ksmAjplIAeOLPhzuIF3OAM9NBYAAqymBoFVBiQHq+l+mpsSE3WZkt0WPXqNCq1ahVQvn/6nQqla/aqTHVKu/V6sElgMRlnxhnN4wTl+YRV8Ipy/MkjfM/LKfuWU/viefZ9EbJhJbvf4Sk5a2SjNvPbCLtkoL+ysKKTJeTC4EQbhowlOqPE1OTuLxeNDpdASDQXnCMxUykym2wxJjI7+0eF2a0WgkHA7j8/k21KVlo/WcKfKkbBNcaM8pc3pOFrHncEGttBqZWFTm8wOrrdVcPz+wKqZXIimTNXf5iKU8NoEoigQCAfr6+tKqjsUjvlIm2XDs2bOH3bt3p7z/+lSBYDBIT08Per2eY8eObTiRuJkeTateXbS7+of48NVtXFVcTCwWIxwOywu6LxTF4Q7gcAWYdAWYWPTQNzHH7LKfrukVvJmFHSSEUavCVqClSK/GalDRtstGWaGO1t2FtFWa2W3RZ/RHZqLKUzAY5MUXX2Rubo6zZ8+iUqlkr7RUJzxTxU5o1xLp0ubn5xkfH09Jl6bEtnSelG2C3UUGBOGCQavSoIQF1W418vzwYs7OnwwOV4A2++YRGjsJpevu5EpZfvryDx6ZitOl6pggCGlXx+KhUqmIRCL09PQQDAbp6OhIywZhPbGSJkibmpqSRjdtdO+RSAT/zChFeoFen1le3NejQKemscxEY9mFP6xOn16ms7MTgMVlL8OORZbcy7hXvIioMBSY0BeY0BmMxBAIR0XC0dj5ryKRWAyzXkNxgZZikw5bgRZbgZYC3Wq1anl5GYfDQXPzvpSfo3Sh1+vRarXyhKeUDel0OhkbG0MURbk9mGqc0mbYaRKkUq1q58xmMy0tLQl1aWq1mvvuuw9BENKyxUgWSB4MBvnQhz7Eiy++SElJCT/5yU+oq6tL+x7ypGwTaNUqys0GxbbnlBCPU1FkYCWozHxHKRe0KoektbxIjyBcID9Kw6TTT4lJh1GnPL1bHrnFeu3Ya6+9tqVF1ev1MjU1xb59+7Db7WkfS9I/RSIR+vr6iEQiKU+QJiJlTqeT3t5e6uvr+dAVZv7l2RFGFrw0ZFDRLrGYKLFc2E/SPrlcLpaX5xEEIaMKVLYrOVI2pJR2EI1G5QzPeNsK6V4MBoPiqk3xmrJE1UGfz0dLSwuPPvoob3rTm6ivr+dHP/pR0mMmCyT//ve/j81m4+zZs9x777385V/+JT/5yU/Svv48KUuCSqtySZnDHaDElP2g7XjEt+csu5VFynKZCypBr1FTVqhX7nvIlZtc0DyUDak6Vl5eTmdn55a0QNFolMHBQVwuF6WlpVRVVWV0HEEQ8Hq9vPDCC9TV1VFZWZkyIYif3JTIptPp5MiRIxQUFPBeS4hvPzfKXb8d53+9Y+sh0+u1T/EVqPUeY1arNaHgXAm6J7VafVF7UMrwHBwcJBgMYjKZZLJpMplyTtKSCf0LCgq44YYb+PnPf86zzz570VRxIqQSSP7AAw/wpS99CYB3vetdfOpTn8oswiqtrf8IUWk10j2lzHxHJSyo8aSsebey8h2nFCJir7QacbiVS8r2lG1f/lseykUq7ctYLMbIyAiLi4sJtWPpLjJut5uenh7sdjt2u53x8fGMrj0Wi+FwOHC5XBw/fvyibM5kkCY3vV4vXV1dlJWV0dnZKd9LSaGO9x+r5u7/muBwVRHvbt9eE9n1FahIJCJXoCYmJojFYmtI2lbbhDsFlUolO/DX1tYiiqKc4Tk2NobX68VoNK7J8MxW3qWEVMLI49uWqVQtUwkkj99Go9FQVFTE4uLiRRmryZAnZUlgtxp5onc2awZ76cDhyv1U6AXNlPLac3KlLMcidrvVSN/Mck6vIRGkXNDX7d1cj5PHHweSVcckn7FUFrH41uehQ4cwmUx4vd60Qs0lrKys0N3dTVFREbt27UqbkEkIhUK8+uqr7N+/n6Kioot+f/u1jQzPe/nSr/opt+i4rHbn/sjUaDSUlJTIBrnSZGt8m9BgMBCNRgkEAptGYOUSgiBQWFhIYWEhVVVVsoZLmoaUvMWsViuRSCRlu4qtIJVzbHcY+XYiT8qSoNJqJBSJsegNUVqonMBmURSZcvq5sjE9Fr7dKDPr0agERbbnHC4/KgHKcxy0XWk18HS/8oi92x/GF4pSaVXmB34e2YFUHVtYWNh0sjJVUiaRqPLy8i0FkouiyNjYGDMzMxw4cIBoNMrU1FTqN3YeoVCInp4eotHophOaGrWKf3pPGx/8wYt89r5u7nxPK511trTPlwnUajU2mw2bbfV8UmVwZmaG/v5+QqEQhYWFWK1WbDabIrVcsFbDJeVASpYbkUiEl156Sa62SS3P7fYKW58ckAjpGsemEkgubVNVVSVXQtenUqSCPClLgvj2nJJI2XIggjcUzbnpp1olsLtImbq7KZefcosBjTq75fP1qLQaCYRjOH1hik3KaUtIE6G5HITII3tItIivJ1CbtX2S5V+Kosjo6Cizs7McOHDgogibjaKaEsHv99Pd3Y3FYuH48eOoVCqWl5fT1lktLCwwMDBAY2Mjfr8/KaEs1Gv49vsO88EfnOHEj7v4+Otq+eiVNVnPFlapVBQWFmKxWGhqapIjiFwuF0NDQwQCAVnLZbVaFZs6AKsTnmVlZZw7yV6aTwAAIABJREFUd46Ojg5ZX+dyuRgfH1/Tut2OYPJoNJq0/ZvO1CWkFkh+4403cs8993D55Zfzs5/9jKuvvjqj1yRPypJAqiI4XH4OVuXOWmE9JBKUa72UdA1KJGVK0NzBWmKvJFKWN47940V8dSwRgUqEzUiZ1+ulu7ub4uJimUStx0aO/vGIz79sbW2VK0eQ3NE/HtJwgdfrla03hoeHU9q33KLn/o8d40sP9fFvz41zaszF197ezG5L7v4oj48gqqmpWaPlGhkZkf244rVcSiJp8caxiSY817dutzLhuRPty1QCyT/ykY/wwQ9+kMbGRoqLi7n33ntTPv6ac2W01x8RlKqZkkhQRVHuW092q5FTo0u5voyLMO0OKIJIx3uVHbBfrGXJFZRE7PPIHlZWVujp6aGsrCxpdSweiUiZKIpMTEwwNTW1oVZLQrL2pdRm3Cj/MtX2p1T9q6yspLm5OSNyEvF7+LMWFftLKvjW72f5b997kQ8fr+L9nZWY9NlZNjeTOyTScvl8PnlwwOPx5FxwH4/N7iVR6za+Kuj3+9dUBZNNeKZCytKtlEHyQHKDwcBPf/rTtI6ZCHlSlgRFxlUzP6VVgpRg9yCh0mpgZjlAJBrLeatQQiwmMu0KcN2B3JPW+EqZkuBw+dFpVJQoqHqXx85BFEXOnj3LwsIC+/fvT6k6Fo/1pExqMZrNZo4fP550IdwsUFxy+N8s/zIZKRNFkfHxcaanp1Ou/iU6hhRoXl1dzZVaD8WXG/jPvgD/8pvVjMwPH7fz/uPVyQ+WRQiCgMlkwmQyYbfb5QSG9ZFKErGxWCxZJWmp6LwkbFYVHB8fx+v1YjAY5Jan2Wxecy95of8fOARBUGR7bsoVQKsWFKFzq7QaicZE5laCiqm6LHiDhKIxRZBWW4EWg1alwPeQn8oiZQqG89h+TE9Py678mSzIEimLz5psbm7e0AU/FUQiEQYGBlJy+N+MlAUCAbq7uyksLNywfZoMgUCArq4urFYrnZ2dRCIRysrKqK+v57orYzw/NMN3fjfJt56b4O7nJ7isHKKFExxpKE9LB+X2hxlf8uP0hVkJRlgJRInEYhg0aow6FeVmPXvLtjZVLwgCRqMRo9EoC+4lkjYzM8Pg4CBarZaioqKsTEXGYrGMP2cSVQWle3E4HGsmPKX7Sfb6e73eNRYXSkKelKUAJZIyh8tPRZERVZYFqIkQXwlSCilTUnzQBWKvvBa4Ul6vPHYedrs9JaPMjaBWqwkEArz00ksYDIZNJxlTgcvlore3l5qampQc/jeqtM3MzDA8PExzc3NG025wIbKppaWF4uLii86jUqm4Yl8lV+yr5JVJN9/73QRPDTt54twYNZYJLitXcfXeIvZUlGCz2WSStuAJ8eI5N2fG3QzMehg7T8ZSQX2xnhsaDezdm9EtXQSDwcDu3bvlrNFQKMTS0hLRaFSeityp3MvtCCOXkIhwSgkKCwsLLC4u4vP5sNlsG054pjt9mU1sy7MuCMJ1wD8DauAuURTvWPd7PfDvQDuwCNwsiuLY+d/9FfARIAr8D1EUH9+Oa9pO2K0Geh3K8pmadvsVY2UgVaMcbuWQDqXppexWo+LyLx2uAH+yN7eWKnlkD1utiHq9XhYXF9m/f3/SrMnNEO9hdvjwYQoKClLab73QP5O4pfWIRqOy5USqxzhcVcS/3tzG0789xYzezq+657hvaIX7hhapsrgxqESWAlGCUQFveJXcGbUqWnYXcnVTCfUlBdQWGykt1FGoV2M2aNCoBALhGP5wlClXgME5Lz8+Pcm/nHJzsNHJZfXbb82h0+koKytjamqK9vZ2wuEwLpeLpaWlNakDNptty9YV20nKEiE+QcHv99PY2ChX06QJTynD02Qy4fF4MmpvLy0tcfPNNzM2NkZdXR333XffmmEUCWq1mra2NgBqamp48MEHUz7HlkmZIAhq4F+Ba4FJ4LQgCA+Kotgbt9lHAKcoio2CINwCfB24WRCEVuAWYD9QCTwlCEKTKIrpOwzuICqKjCx4ggTC0ZxGGsXD4QpwvCHztsF2Qho2UFI1UUmaO1it2D07M5fry5ARjsaYWwkohrTmoVyEQiF6e3sJBALU1NRsiZBFo1FOnTrFrl270g43j29fSlW22tratOKW4rG8vEx3dzfV1dVUVVWlfQyLXuCaTjvv77Tz4oSbT93XzeRyfCVylZAVaOBYuUBDcYy95SqqdxkptZgwGzQU6tVEYyLBSAyNWsDvi+EORFjwhvCHV+9Vr9k5MhMvwNdqtZSVlcmvb3zqwHrrinRTB3aalMUjGo2i1+sxmUwJzXm/8Y1v8NBDDzEyMoLD4eCmm27Cak1tIOyOO+7gmmuu4eTJk9xxxx3ccccdfP3rX79oO6PRyCuvvJLR9W9HpewYcFYUxREAQRDuBd4OxJOytwNfOv/9z4A7hdV3wtuBe0VRDAKjgiCcPX+8/9qG69o2SAvXjDtAXY4d9AEi0RgzywHFEA6zQYvFoFEUKZty+THp1FiMyujQV1qNzK0ECUai6DW5J/azywFi4moVOI88NsLc3BxDQ0M0NjYSi8Xw+zP7Py5Nafr9fg4dOoTFkr5bvlQpO3v2LIuLi2lV2dZfizQQcPDgwS0JvmeXg9z9/CQ/e3maQCRGe00R17WUUW0zMDTvpW/Gw9iin1Nzfn496YFXPYAj6XE1KoHjNYW8qU7Hkeqdm9jebCoyUeqARNImJyeJRqOydUV8yzYRsk3KEqVRSBOef//3f8/CwgLveMc7mJ2dxev1pkzKHnjgAX79618DcOutt3LVVVclJGVbwXasWHbgXNzPk8DxjbYRRTEiCIIbKDn/+PPr9rWTAIIgfBT4KKyWA7OJeK8yJZCyuZUg0ZioqCqH0nR3kl5KKSJ26T004w5QW5L791Deo+yPD+n8X0jUGpybm8soJilehC/9ywR+vx+fzweQcUh6IBCgp6cHk8mU8UAAgDcY4Uf9IZ57+hSxmMgNbeWcuKKaupILJPHKPRc6GaIoMrcSYsLpZ9kfwR0Is+D2suD2Eg4FUMWiFBboqSw2s7+6hL0VNjxuJ06nM6PrSxWiKKZlibI+nFyqPvX19REKhTb0F8smKQOSnsvv93P55ZfLAeOpYnZ2Vtax7d69m9nZ2YTbBQIBOjo60Gg0nDx5kne84x0pn0MZZYQUIIrid4HvAnR0dKRn67xFxPtMKQFK00uBpJlSkqZMWa05WXfnUgopU957KA9lYHFxkf7+furr66moqJAX1mSO/okwPT3NyMiILMJ/4YUX0l6g4w1l9Xo9jY2NaV2DhEgkwpkzZ9i3b9+WWrCnxlz8zcMDTLujvPPIbk5cUZO04iwIAuUWPeUbGNDGe3M5lyZ5dXoYrVaLSqXC7/fvWKzSVqLf4gcDYO09DA4OEgwGZX+xbEbMpZL6sJklxhvf+EZmZmYuevyrX/3qmp8FQdjwnsbHx7Hb7YyMjHD11VfT1tbGnj17Urj67SFlU0D8bGnV+ccSbTMpCIIGKGJV8J/KvjnHblkzpQzSMSXrpZTTeqq0Gjk9phwD2Wm3soxaKxVG7KXrUMJ0ah7KQDQaZWBgAJ/PR3t7+0Uh2OnEJIXDYXp6elCpVBw7dkwWiadzDLigZ1Or1Rw/fpxTp06lfkPnEYvFGBgYIBQKceWVV2YcaB6JiXzjqRF+eHqKGpuBvzqm473XNmV0rPVI5M01OTnJwsLCmlglaaLQaNyeLsBWrCrWI9E9SCRtZmaGYDCIz+dL2QR2J+H1ejcU+j/11FMb7ldeXs709DQVFRVMT09v6Kkn5WI2NDRw1VVX8fLLL2eVlJ0G9gqCUM8qoboFeN+6bR4EbmVVK/Yu4BlRFEVBEB4EfiwIwjdZFfrvBdL/X7fD0GvUlJn1TLuVsaBK5LBCQQtqpdXIciCCJxihMEuO1xshEI6y4AkpirTuVtgwhMPlx1agxajLvb4tj9zD6XTS19dHdXU1LS0tCRdLtVqdkqWGlDe5Z88e2X5BQipRSxKkil2i46QKj8dDV1cXFRUVmM3mjCcIIzGR//lAP4/2zvPejko+d3U93a+8lNGxUoEU7G2xWNizZ88agnP27Fn8fv+agPJMSdpOVrAEQcBsNmM2m9FoNITDYUpKSuTBgZ1KHUjlfoLBYEYZm1K+5cmTJ7nnnnt4+9vfftE2TqeTgoIC9Ho9CwsL/O53v+Pzn/98yufY8up5XiP2KeBxVi0x/o8oij2CIHwFOCOK4oPA94H/OC/kX2KVuHF+u/tYHQqIAJ9U2uSlhEoFWRo4XH6KjNqsxX2kgnjdXVN5+qPG24lpt/L0UgatmtJCvaJImZKenzx2HokWq1gsxtDQEG63O6lwPlmVS8qb3KjSBqlFJcViMQYHB1lZWdnwOMkgVZrOnTvHgQMHsFgszM/Pp1WlkxCOxjj5QD9P9C3wuavrue3y7JiOxhOmeIJTXV29hqQNDw/j8/lkkpZOQHm22oqSo//61AG/378mdUCv18s2HOud+lNBOoH1mdz3yZMnec973sP3v/99amtrue+++wA4c+YM3/72t7nrrrvo6+vjYx/7mPxeP3nyJK2trSmfY1tWdVEUHwEeWffYF+O+DwDv3mDfrwJfTfQ7JcFuNdA/s5LrywCUuaDG6+5yTcqUqpeyWw0KIvYBakrSn1zL49KGIAjywrW8vExPTw8VFRV0dnamZN66UZXL7XbT09NDVVXVpnmTyYhdfGVr3759GS2cUoamTqdbE/8Uf+/J4HA4GBkZwWw2c99ghCf6XPzFGxu49XhV2tezE0hE0rxeL06nUw4oj293bkTSsknK1pvRStXAgoICKisrgQupA9PT0wwMDMhO/VI0VLLUgVT0iukQt/UoKSnh6aefvujxjo4O7rrrLgCuuOIKurq6Mj6HckotCkdlkZFn+ueyKljcCFMuv2LsMCTYbcrJd5xSmEeZhEqrkcFZ5RD7y/dk5n6ex6WNWCzG6Ogo8/PztLW1pTwNqdFoLiJl0rEWFhY4dOhQUpf0jYidZJnhcDgyzq2ECy3PxsZGysvLLzp3sgU5EonQ29uLKIocPnyYnikXv+gd4E9rdLQIDnp7l9eEZysF8VFE8STN5XKtIWlSu1MiadkkZalUvdanDgSDQVwuF3Nzc5w9exa1Wi1X0iwWy0VEL524qFyv4xshT8pShN1mJBCO4fSFKc5xgLPD5edYvTKMYyXsMhtQqwRFkDKHy48gQLlFOZoyWCVlvx6YzzmxXw6sZu4pJREij+xBqkSVlZWlnYG5nlB5vV66u7spKSlJ2aIiUfsyGAzS3d1NQUEBx44d23RR3YhISP5lbrd7w5bn+kSA9ZDMZGtqati9ezeBYJBv/GaKIqOGL/+3I5j1anw+H06nk4GBAbxeL319fTJJy0SjtFNIlBcpXfvo6Cher5eCggKMRiORSGTHP5MytcTQ6/WUl5fLBFtKHVhcXGRkZARBEGRD26KiopRIWSQS2dGcz60iT8pSRHy+Yy5J2UogzHIgorgqkFolsNtiUMSEqsPlp6xQj24HnbAzQaXViD8cxeULY8vhe2g671H2R4uJiQlaW1szMm+VKk2iKHLu3DkmJyfZv38/RUWpTzmvt9WQzGmbmppSsqmQiFX8ourz+WSi2dHRsSG52Kh9GV+lO3jwIEajcVXXthDgNYeHv75uD2a9GlEUMRqNGAwGqqqqePHFF6moqFjj0yVF+WwHSdtOoiQIgqzniidp09PTeDweTp06RUFBgXzt2z0ZuV0+ZYlSB1wulzw8IBHMubm5DVMHNrPDUALypCxFxGumcmm1oGTTT6XkOzpcAbmdqiRI06BTLn9OSZlSNXd57Dz279+fkdhdQiwW46WXXsJoNK7Ra6UKqVIWiUQYGBggGAymlVsp7S+dV/Iva21tTerKnoiUhUIhuru7MRqNdHZ2IoqibBPx0rnVvONrW8rR6/XEYjFEUSQajbKyskIkEpE1Uet1Xb29vUQikTUkLZNszp2CRNJKS0uJxWLs3bsXn8+3ZjJSImnSZORWSNpOmcdqNBpKS0spLV3N8HU6nUxMTODxeOTUAek1sFqt6PV6PB6PYsPIIU/KUobsM+XMLelQ8oJaaTVwZnxnHahTwZTLT2tl+pWAnUZ8tTWXxD7vUZZHJpiZmcHn89Hc3CwvgulCrVbj8XgYHh7OKHMyntT19PQgCALHjh27SFu00b7xpGxpaYm+vj4aGxtlchJvCHpm3E1tsZEys37N/tPT0zgcDg4fPoxOpyMajcpEV2oJxk9IOp1OpqamZIIgie+VQNKkalx8JS1+MjKe5BiNRvna0yVp6SQHbBUFBQWyU79EoJ1OJw6Hg6mpKf793/8dj8fD+Pg4tbW1aR37pz/9KV/60pfo6+vj1KlTdHR0JNzuscce4zOf+QzRaJQTJ05w8uTJlM+RJ2UpwlagxaBV5VwzpVQRO6ySjpnXponGRNSq3GimRFFkyuXn2tby5BtnGUpJhphy+dGqBXaZlaOBySM7yKTaEQ6H6evrIxaLydWVTCCKIktLS3i9Xtrb2zOqVqhUKtkGoq6uTp7aSwVS61MURYaHh1laWuLo0aNotdqLCBnAojdERdEFbZo0BKDRaGhvb5erddLX+EqaRNIkolNTUyM73judTrmKI4nWrVbrRR5qW5kSTBUbmcfGT0aut6+IJ2lSFTAZSUuUR7kTWK8pU6vVa1IHWltbWVhY4Ic//CGf+MQn6Ojo4Mtf/nLKxz9w4AA///nP+djHPrbpNXzyk5/kySefpKqqis7OTm688caUbTHypCxFCIKA3WrEkWMDWSUvqHabkUhMZG4lkDNj2wVPiFAkpkjSWmzSodfkntg7XH52FxlQ5Yg453HpQKom1dfXU1lZye9///uMtE5+v5+uri5UKhW1tbUZETJJBzU8PJxRGLkgCAQCAQYGBrDZbBw9elTWyCWKzKko0jMw6wFWhwB6e3upq6vb0MhWIh3xJC3+HyCL72tra4nFYnIVZ2JiAlEUZZIm6fR2eiAo1QrWevsKURQJBAI4nU7OnTsne4zFV9Lij5ut4aZkQn+9Xk9DQwOdnZ3ceeedaR+/paUl6TanTp2isbFRrtbdcsstPPDAA3lSthOoVEC+o5IX1Pj2XK5ImZLbuzKxz/F7aMqpPEuVPJSFaDTK0NDQRQau6zVdqcDhcDA6Okprayt+v59gMJj29UikDqCtrS1tQiYdY2BggP3792O1WhNWx+JhLzLw7MACo2PjzM/NcvDgwbTOq1Kp1hCTjUia2Wymrq5uTcD3+Pg4oVAInU4nm8Km0qJNF5mSJUEQMBqNGI3GNSRtvRGsVEnLVaUsETwez44K/aempqiuvmAwXFVVxQsvvJDy/nlSlgbsViP9/XM5vQaHy69YLdCF9lyA9vRa9dsGh4Lbu6CMZIipvEdZHpsg3lR2vYGrND2ZCikLh8P09vbKui+tVkswGEx70GBmZobh4WFaWlqYmppKu60nZXp6vV6am5spKipKSsgA9leYCEVFnhly8mfXdGxIKoKRKMPzPs45/bj9EZYDYdz+CG5/3NfzEXRatYBBq8agUaE//0+nFjBoVBSbtNQVG6gtttLQZCe4vIjb7cblcjE2NibbP0iVtO0gadtVwYonaRUVFQByu3NqaoqlpSU5ZslqtWbk1p8KUnlvJpu+3CyQPFGs0nYjT8rSQKXVyPxKkEA4ikGbG5+TKaefyxS6oFYoIN9RyZo7WB2G+PXAfM7OH47GmF0OUKXQ5yePncVmC7AoioyOjjI3N7ehqex6S4uNILU9Gxoa5EUaUotZkhCJROjv7yccDsukbnp6Oi1SF58QsGvXLlwuFyaTKWkoucvlomhljDqbnl8MBfnwNcJ5vWqAwTkvg3MeBmdXv44v+omuI4patUCRUUuRUUORQUtlkYFCvZpwVCQYiRIIxwhGYqwEQwTCMQLhGPOeIOHoheOYdQJ2i5b9dht/sqeGzhozYb+XpaUlRkdHEQRBrkQVFRVl5L21k23FeJIWDAZpaGjA6/XicDhYWVlBp9PJ179dJC0ajSYdoNgsjBw2DyRPBXa7nXPnzsk/T05OygHlqSBPytKA1BKbcQeoK83+SG0kGmNmOaBYwmE2aLEYNDknZSadGotRmW/tSquRuZUgwUgUvSb7xH7GHSAmKrO9m0fu4PP56O7uxmazbWoqm4yUxZu4Hj169CLykyqpizdytdvtMnFIldSJoojD4WB8fJz9+/dTWFiIz+djZmaG3t5ewuEwVquV4uJibDabLLIXRZHx8XHm5+c5fOgQ1wdn+bfnxmj7f3+NSafGG7pw7VVWA3t3FXJtcxlN5YXUlRixFWgpMmoxaFRpk51oTMThDjAy7+FU3zgT7hCuqJ7H+xe4/9VZDBoVx+uKuGpvMVftq8asE1heXpaNVFUqlSxqT5WkZdPRXwpYl0i61O7cTpKWSmvd4/FclPawnejs7GRoaIjR0VHsdjv33nsvP/7xj1PeX5krl0Jhj9NM5YKUzSwrf0GttBpzS8qcfuw2o2IjNKTXbtYdzEn2pNzeVaCPWx7ZhyiKTE1NMTExQUtLS9L4oM1Ilcfjobu7m127dm1o4pqMVEmkaHp6moMHD15UrUsnKkkQBDnTMxaLYTQa11gluN1ulpaWGB8fRxRFzGYzSy43U6EChnxFfOGuV5mM038Wm3T8xbXV7NtVSOMuE4X67V0+1SqBUgPMuMe4+Ug51dXVCIJAKBrjzLiLZ/rneWZwkd+cdfL1p0a57bidD3RWUG+zoVKpCIfDLC8vs7CwwPDwsDx5KEUSJSIruYxZShSp5HQ61+ReSoMDFoslJZK2He3LzfCLX/yCT3/608zPz/PWt76Vw4cP8/jjj+NwODhx4gSPPPIIGo2GO++8kze/+c1Eo1Fuu+029u/fn/I58qQsDeTa0kASiCu1UgZQZcvtMITDrbyw9njEv4dyQcqU3t7NY2cRvwAHg0F6enrQ6/Upe30lImXpOPxvRsqCwSBdXV0UFhZy/PjxhItwsqgkKRi9traW3bt3y9uuP5Zaraa4uJji4mJ8oSi/PD3CY7+ZomcJ/BE/WhUc2m3glsNV/ElTOScfHGBswcfeMhOHq3fGY3BhYYGhoSFaWlrWGOHq1CquaCjmioZivvAWkb4ZD9/97Tj/9ttz/LJrjs/9aR3XNBXLlTLbeZIWCoVYXl6WcyM1Gs0akiYR3GyQslTOo9frE+ZezszMMDg4KIeTx1//euw0Kbvpppu46aabLnq8srKSRx55RP75+uuv5/rrr8/oHHlSlgbKi/QIQi5JmXInCyVUWo2cHsudgazDFeBQ1ebO3rlE/IRqLiCZHyv5PZTHzkOKN9q7dy+7du1Keb/1pExyxDcYDCk5/G9UaZufn2dwcJB9+/Zt6oO2EamTKmwzMzNyVJI08bcRGXD6Qvzo1CQ/fOEcy8EYJSYtb20r5aqmUtqrCgl6l1laWmJprJdPHVDztRdUfOzHr/K31+/jhoOJbTEygSiKjIyMyLmdm2miBEGgtcLMP737AKfGnHzt8SFu/+UA//jOVq5tKSMajcpeaVKlrLh4lbBFIhGcTiezs7MMDQ2h0WhQq9UUFBTsmOP++mtPB+tzLyWSFn/9UrtWqgSmMuWZj1n6A4Jeo6asUJ+7BVUmZcoNkq60GnH7w3iCkW0v7yeDLxRhyRtSNOGQhiFyRuzdfkoLdTkbVMkjt4hEInR3dxMOh9OKN5IQT6okIpUOsVtPqqLRKIODg/h8Pjo6OpLmRSYiZaFQiK6uLkwmE52dnbLlxEaEbMoV4O7nJ7j/5WkC4RjH7AY+cfU+OupsqOK3Nxnk+woGg/zvsln+9vEJPv/LPn5x6iyffV0FtRVlmM3mjKtNEqm1WCwcOXIkreMcq7PxkxMdfPAHL/HFhwc5YLfIFXDpOYonaQA2m42SkhK53Tk8PIzb7ebMmTM7IrzfTqwnaaFQCJfLJVcC1Wo1oVBINrbd6A+EPCn7A0NlDn2mplx+bAVaCnTKfdniK0FN5RtPuOwELoX2rkGrprRQn7O4rkmnstu7eewsYrEYxcXFVFRUZEQk1Gq1bHXh9/tTIlLr95cIgzQZWVlZSXNzc0rXs56ULS4u0t/fz969eykpKdnU6mJg1sP3fz/Bo91zIIgcL1fx8aua6NibfDJOr9dzaG8NP9tTxV2/m+BffzPGJx6a4tY2Fy3mIIUmkzw0kGqYt9vtpre3l8bGxpTC2BNBp1bxv9+5nzf/y/P8/JUZPn1VPXChXSt9ldIG4lMHVCoVRqORoqIiKioqZJIjCe/jfca2Qjx3Cjqdjl27dsnEORQK8corr8iGtvFu/vGDD8mmL3ONLa3ugiAUAz8B6oAx4D2iKDrXbXMY+P8ACxAFviqK4k/O/+5u4A2A+/zmHxZF8ZWtXNNOw24z0udYzsm5HS6/4gXacui2M/ukbOoSEbHbbUYmXb6cnDsXZDkP5UCv16cVTbQeoVAIh8NBQ0MDLS0taS/UUhttYmKCyclJ2tra0logJR1ULBZjeHgYl8u1aVQSwLwnyFd+NcjTAwsYtSpuaDJxdZXA6zva0iKUABqVio+/ro7X7SnhL3/ZyzdfWKahpIAPdhZxLLbahpQqMZJmbf0EqqTBm5mZ4fDhw0ntOZLBoF0lXiUm7YbbSOTs4e556kqMHKgoZG5ujvn5eVpbW+V2Z0lJCaWlpbImTYqEinfsTyVWKRfQ6XSo1WqamprkqpnL5Voz+HD69GlWVlYyqgKmmntZV1eH2WxGrVaj0Wg4c+ZMWufZasnlJPC0KIp3CIJw8vzPf7luGx/wIVEUhwRBqAReFAThcVEUXed/f7soij/b4nVkDXarkad6Z7MmkIzHlNNPfQ6mPtNBlW1VvD6Zg/bcpaC5g9VhiJ4pd/INtxlSLuhV+1LXEOWRB6y+d8bGxpiZmWH37t1sMWyqAAAgAElEQVTU1NRkdJxIJILH48Hj8aSkQVsPQRAIBoOcPn2a0tJSjhw5smlU0m8GF/jCg/14Q1E+fmUVB40uanaXUF9fv6XP7/2VZn758U4e753nrt+N8+XHRqko0nPr8WrevL+JAiHM0tIS/f39BAIBLBYLxcXFWCwWRkZG0Gg0dHRsbEibKgLhKF96eBCAlt2bk9twNMbXnziLyx9md6Gayyu13HpVq2ymK5HdWCwmk7TS0lJ27dolP+/xsUoGg0EmaalWB3ca8dq49ZW0cDgsT/befPPNmEwmHn/8cTmtIhlSyb2U8Oyzz2acEbtVUvZ24Krz398D/Jp1pEwUxcG47x2CIMwBZYCLSxCVRQaCkRgLnhBlWcyfFEURh8vPlY2ZvdDZQlmhHp1alZP23JTTj1olUK7AXNB4VFmNPNkzSywmZjUua8m7alSp5PZuHjuLTBbOQCBAV1cXFouFvXv34vNlVuWVWo0ajSblHMD1WFlZYXZ2lkOHDm3qzB+MRPnfTw3zo1NT7Cs38c2rKoguTdLc3JzU9iNVaFQq3nqgnOv37+K5oUW+97sJ7njiLHc8cZZDdgtvbC7lmuZ91NgMrKysMDMzQ19fH1qtltLSUubn57HZbGnr+gBiosjvhpf419+M0TW1zN+8pYkjSaZCtWoVD3+8nX9/5lVOzYo8MBTgF4Mv0VpRyA0HynnL/nLKLaufnetJWiwWQ6PRUFZWdpHwfnx8HI/HQ0FBgWxhkUuSttF5tVotN910E9/85jd54YUXWFlZSZmQQWq5l9uBrZKyclEUp89/PwNs6sgmCMIxQAcMxz38VUEQvgg8DZwURTFhMJogCB8FPgpk/FfadkCqBE25/FklZcv+CN5QlCqFt+ZUKoFKq4FJZ/bbcw6Xn90WAxq1sgSq61FlMxKKrjp4l1uyN7Qhae6UXknMQzmQIo6am5spKSlhfn6eSCSS1jHiDWXb29t56aWX0r4OKSrJ7XZjt9uxWCwbErKhOQ9/8fNehua8fOCYnRtrRcK+BQ4nmWzMFIIg8IamUt7QVMrZeS9P9c/zdP8C33h6hG88PUJDaQF7bFpKVD6uOtjMwdpSYsFVZ/6JiQlisdgaI9uNrEm8wQgDsx5Oj7u4/+VpJl0Bigu0fONd+7muNXn1e2VlhcGeHt53eQOf3bWL+ZUgj/bM8XD3LH//5DD/8OQwx+qs3NBWzrUtZVgM2jXh6vEkTRRFtFrtGpImmcGOjY3h9XoxmUyynktpkOxDdgKCIPCmN70JQRD42Mc+xkc/+tG09k9KygRBeApINP/7hfgfRFEUBUHY0NVPEIQK4D+AW0VRlJSaf8UqmdMB32W1yvaVRPuLovjd89vQ0dGRXvjZNqKqeHVBm3T6OFydPesFSYN0KSyodpuRyVxUylx+RU+mSpA0b5NOf1ZJ2dT595DSiX0eOwtBEFI2YI3FYnLEEYBGo0kr5sjn8/Haa69taiibDPEDATabjYmJCebn5ykuLr6IwNx7ZoqvP3GWQr2ab71zH0W+KQqNZdQ2N2WlctNYZqKxzMTHX1fHlCvAU/1zPNk1yekJP66gyL0DA8AAVVYDFUUGbAVGigwaDAsRtLFzRIKDBKOg0hlQafXEVFrmPSEGZj2cc14YMDteZ+Vz1zRwTXMZuhT+CJ2ZmWFsbIy2tjZMplUJTJlZz4cuq+ZDl1UzuuDj4e5ZHu6a5W8eGuDvHhniDXtLuKGtnNfvLZbTRzYjaTqdjrKyMtlnLBAI4HQ6GR0dxev1yokRNpsNozE3Bt/J3vfbkXv529/+FrvdztzcHNdeey3Nzc28/vWvT/kak5IyURTfuNHvBEGYFQShQhTF6fOkK2FatyAIFuBXwBdEUXw+7thSlS0oCMIPgL9I+cpzBNn8M8ukQyI5l8KCWmUt4JmB7Ae3T7n8dNRuT2tiJ2G3Xqi2tmfxeqfylbI8UoDT6aS3t5f6+vqLpjRVKlVKMUnrY44yqZbEpw0cOHAAk8lENBpFEAR5sVer1bLNwxPDXr7yyCB/sqeYP7+yDNfMBHubm3esIpIMJQZoVc9y1Zvs1NTUsOgN0zezQt+Mh4FZD/MrQYYXvLh8YVy+yLr8zBBaFehUYNYL7Ckx8pZ9uzlYW8r+CovcZkwGURQ5e/YsXq+Xjo6ODatw9aUFfPqqej71hjq6HCs83DXLoz2zPNk/j1mv4W0Hy/nUG+qxFqySc0m3tZ6kSRYcEknbtWsXpaWl9Pb2UldXh9PpZHh4GL/fj8lkktud20XSUg2r3+hcW829BOScy127dnHTTTdx6tSp7SVlSfAgcCtwx/mvD6zfQBAEHfAL4N/XC/rjCJ0AvAPo3uL17DjMhtVss2xXgi6Qsuy7wKcLuy37we3RmMiMO3BJEI4LlbLstninnH6MWjW2go2ntPL444U00eh0Ojly5AgFBRd/1qSSXSlZZqhUqpSTAhIdo6enB41GsyYqSaVSUVZWJltIhEIhlpaWePq1Mf7uN07ayjTc1hjEs+Dg6NGjO9KuTAWLi4sMDg6ucecvLdTxusYSXtdYctH2oiiyEowQjMQo0KrRa1VozhMf6R6XlpZYdg4z5dXhP9/qtFgsGxKMcDhMV1cXRUVFHDp0KCXSIwgCB+0WDtotfP5Ne3hh1MVDXTP85IyDR7rn+PNrGvhvRyrW+rmxOUlzOBzo9XrZZ0ya/vX5fLhcLs6ePUsgEKCwsFC24MhkIlVqZ291m63A6/USi8Uwm814vV6eeOIJvvjFL6Z1jK2SsjuA+wRB+AgwDrwHQBCEDuDjoiieOP/Y64ESQRA+fH4/yfriR4IglAEC8Arw8S1eT1ZQZTNmfUGddPoo0F0aC6pUzXO4/DSUZcekb2Y5QCQmUl2sfNJaqNdgLdBmvdo65fJRaTUoYkoqj9whUftSai+VlpbKJCgRkpEyqcrW0NAgB0+nC5fLRU9PD/X19ZSXl28YlQSrE3Yxo5V/On0Wu9XARw9AgXFVEvDiiy9iOu8fVlJSsmXriVQgufO7XK6k7vzxEAQBiyHxZ7tOp1sTPxQIBFhaWmJycpLl5WWMRqNsvyEJ7FdWVujp6WHPnj0Ze6BpVCqu3FPMlXuKue3yGr7yyCBffHiA+1+e5otvbdp02lPykxsZGSESidDS0iJXWaXXU8q+jCdpTqeTwcFBgsEghYWFcrszFUF+KmHkfr8/4R8bqSCV3MvZ2Vk5hikSifC+972P6667Lq3zbImUiaK4CFyT4PEzwInz3/8Q+OEG+1+9lfPnClU2IyPz3qyec9Lpp9pWcEksqLIthjN7pGxy6dLSS1XlQHc35fJjvwQqrXlkD/EtwlTajBuRMomMLCwsbFhlW7/9+s8yyXZjdnaWw4cPYzAYNjWDBfCHo3z6J134Q1E+d0hF56EDWCwW+Xgej0e2pggGg7I1RXFx8bZX0eLd+Y8ePbpjn9UGg4HKykoqKysRRRG/38/S0pLskaZWqwkGg7S0tFBScnFVLhM0lRfyHx8+woOvzfIPT57l3d87w/s6q/j0VfWYDRfTCKlKZ7PZ2Ldvn/xcxFfS4v9J91VRUYHdbkcURZmkDQwMEAwGMZvNMklL5C+XSu6lx+ORNXXpIpXcy4aGBl599dWMji9BudbwCkaVrYDnBhey6lU26fRfMoRDas9lM0ro3CXU3oVVbeJwDoi9knNB88guQqEQPT09aLXaLQWS+/1+eQHu7OxM6r0lVVHiF1ApjNxsNtPZ2SmLyDcjZKIo8oUH+uif8XD7ZWbe9oZD8kACrFafzGYzZrOZ2tpaYrEYy8vLLC4uMjk5STQaxWazUVxcjNVqzajNKsHtdtPX17elylQmEASBgoICCgoKsNvtDA4OsrKyQnV1NZOTkwwNDWE2m2Uimo4FRKJzvf3Qbq5qKuFbz47yo1OTPNY7x+3X7uGGA+Xy6+T1eunq6qKhoWHD+C2VSrXmfZKIpBmNRoxGI1VVVYiiiNfrxel00tfXRygUwmKxyO1OvV6/42Hk2UKelGWAKpsRfziK0xem2JQdzcKk08exOuWL2AHKzXo0KiGrLd5Jpw9BUHYuaDzs1uwS+5VAGJcvfEm0d/PYWQiCwMLCAgMDAzQ2NsqWBqlgfcyRZJnR2tqasv+XFLUkLaDStTQ1NVFcXCyTsWTk7pFXp3isd57b2ku49dq2pP+PJBsESeMVjUZxOp0sLS0xPDyMSqWSW50WiyUlY1dRFJmcnGR6eppDhw5lpUWaCFKVzmq10t7eLj8XoiiysrLC0tISvb29BINBioqKtlQtLDJq+Zvrm7jp8G7+7pFB/vIXfdz/0jR/c30TVlWAoaEh9u/fn3ZSQzKSJpHP6urqNSStt7eXSCSCwWAgHA4TCoU2vC+Px5MnZX+IuNCe82WFlLn9YVYCkUumCqRRq9hdZMhqe27S6afcbJBHt5UOidgveUOUFO68392lNL2bx85idHSUubk52tvb066cSIt9JBKhv7+fSCSyxjIjFUjaIrVazdDQEMvLy7S3t8t2G5tVxyQ4HA7uPzWC1ajhs285kHGOZ2lpqey8LsUKORwO+vv70ev1MnlJFCsUjUbp7e1FrVbT3t6edjrBdmEz/ZggCFgsFiwWC3V1dXK1UNKkRSKRNR5p6byOByot/Pi2dn76koN/emaEd3z7FLce0PM/3tqx5dZwJiRtZmaGmZkZenp6iEQiWCwWebpTuh7JP03JyJOyDCDZYkw6/RzMQjtIqjhdSgtqlc2YVSH7uSXfJfX8xLd4s0HKzp3X3FVfIsQ+j52D3W6nuro64wptNBrl1KlT1NTUYLfbM8q/9Pl8vPrqq5SVlSWNSlp/7v7+fkKRGN1OeHNrmTyluFXodDrKy8vlyqGk1RobG5O1SFIlLRaL0d3dTXV19ZayRLeKmZkZxsfH1/iPbYb4amFDQwPRaBSXy4XT6WR8fBxRFGXdls1mS0o01SqB9xytoFbt5FsvuLmnO8hlbSv8SYIJ060gEUmT7DckkqbVaikqKqKhoYFYLIbH45GzO6PRKH6/n+eeey6jNvXtt9/OQw89hE6nY8+ePfzgBz9IaLXy2GOP8ZnPfIZoNMqJEyc4efJk+vea9h55ZN3S4NzSpaWXgtX2XLYrZZdSa04ikNkirufylbI8zkOv12dEyERRZHR0lEAgwKFDh6iqqsroOJKWrampidraWpmMqVSqTY+3srLC6dOnsdlsrBRU4glGeWPzzum3jEYjdrudtrY2LrvsMurr64lGo7z66qs8//zzGAwGObg724jFYgwODjI7O0t7e3vG1R8phLyxsZHOzk6OHj2K1WplcXGRM2fOcPr0aYaHh1laWkpoGhwKhXj55ZepLDbzvQ8fo3GXiT+/v4ehuZ3Vy6pUKrRaLTqdDoPBQCAQYGxsjLKyMvk6CwsLqamp4fDhwxw+fBir1crQ0BAPPfQQx44d4+GHH075fNdeey3d3d289tprNDU18bWvfe2ibaLRKJ/85Cd59NFH6e3t5T//8z/p7e1N+97ylbIMUGTUYjFoskY6LtVK2exKgFAkhk6zs9w/Eo0xsxy4tJ4f64UJ1WxAslTJlgYyjz8sxAvxCwoKMiIB0WiUvr4+AoGArDlKpV0pTYhOTU1x4MABCgsL+fZD/Zh0ai6vz47OVhAETCYTDocDo9HIkSNH8Pv9OzI0kAzx+rGDBw9uqyZVyreM94FzOp3Mzs4yODiIVquVW51qtfqitum/3XKQm7//Ip+49zXu/Ug7JVn4vJmfn2d4eJj/2955h7dZnvv/88jy3tuOV+KRxJmOMyFAErAJTVugUFogjEByAi3tAQpt04a2/M5hHQotPW2vcOgphUJbyqEFQiaE3bAJiUfs2LHjHS95W7a1nt8fsoSTeMiWZNny87muXJZev9L7vJLi96t7fO+cnBx7168tkmb7CdbZlWvXrmX58uXcdddd9Pf3j/a0Z3DppZfab69Zs4aXXnrpnH0++eQTMjMzSU9PB+Daa6/l1VdfHfecVyXKJkhyZNCkRTnq2vsI9vOxuylPB5IiA5ESTnf2kRbt3hz+6c5+zBY5rURZWKCWEH/tpHWo1rZNH0sVxdSiubmZ8vJy5s2bR0xMjD1q4kghvI3u7m6KiorsbuddXV2EhISMWcNkMpkoKSnBx8eHFStWWLs/LZK3TrSyfm6027/w2bANZY+NjWXuXOvIJn9//2GbBiorKxFCjLtpwBFc4T82Hs5O6dpGJ1VWVtLe3k5YWBh6vZ7u7m5CQkJIDA/g999ezM3PfsH3/17In27KcWudb21trb0+cuhnabh0Z319PU899RS33HILwcHBE44uPv3003z7298+Z3t9fT0pKSn2+8nJyXz88cfjfn4lyiZIcmQg1brJSV9a7TCm1wV1aHrO3aKs1h5JnD7pSyHEpHqV1bVPr5o7hftw9O+IbQh4X18fK1eutBdL22wxHO1OrK2ttUe5goKCCA8Pp76+niNHjqDVau3F9Ge703d1dXH8+HHS0tLOMKJt6RmgTW8kJ3lyBl3b3Pnnz58/Yoeps00DjnD69Glqamocrh9zB/7+/hgMBqSUXHjhhZjN5jPq7oKCgoiKiuL+r6Sz47WT3Le7lEe/scDl1y4pJWVlZRiNRpYtWzbmZ7G0tJStW7eya9cuLr54eHtUR+ZePvjgg2i1WjZv3uz8SYyAEmUTJDkyiMMnJ8fSYDpeUFMiJy89ZzvGdCtiT4qYnMkQUkrq2vtYk+7a4luF92KLbM2aNYvs7Owz/sbZRNlYUS6j0UhRURF+fn6sXLkSsEYsgoODmTdvHmBNi7a1tVFbW0t3d7f9om7bPpwAiQ3xx9dH0Ng14OKzPhNbDV17ezu5ubnDGpaOxHiaBsay0bBYLJw8eZK+vj57l6onsFgslJSUIIQ4QwglJSWdYfja1tZGmqaNqzK1/LOomWhfM3fmZbnMLsRsNlNUVERISIg9ajka7777Ljt27OAvf/kLixYtGnG/seZePvPMM+zZs4c333xz2GMmJSVRW1trv19XV2ePDI8HJcomSFJkIL0GMx16I5FuzJtLKalv72P1nCi3HcMdJIQHoBGT0wxR196HRliPOZ1IiQrio0qd24V9Z5+RngHTtBP2isnn7MjWcF5Tjsy/HDpuKS4ubsRRSf7+/iQmJpKYmIiU0m7CajKZ0Gq1VFdXEx0dTVRUlF0E+mgEqVGBnHJjpsImKENCQhyKxIyFrWnAJl6GThro7+8f0TvMYDBQWFhIVFQUWVlZHsuWGAwGCgoKiIuLG7Fz11Z3FxwcTEpKCosXW9C/VMhzX+g4P86Ir8VwxkSF8YhcGwMDAxQUFJCUlDRm16uUkhdeeIE//OEP7N+/36ku2QMHDvDoo4/y7rvvjjitYuXKlZSXl3Pq1CmSkpJ44YUX+Otf/zruYylRNkGSI7+0xXCnKOvqM9E9MH08ymz4+mhICAuwd/25k7o2PQlhAZNWX+Iq0qKD6DW436tsOnbvKtzHSBd2WwF5QEAAq1atGtEOYTRRdva4JX9/f4e9x7q6uigtLSU9Pd0+87KzsxOdTkdNTQ1SSvsFfXZUkNtEmU0YjuZI7wyOTBqIiIggMDCQ+vp6MjMzJ3VKwNnY6tiysrLGNbZJo9HwzeUpHChtwz8unZVp4XR1ddHe3k5RURFGo9HuyB8ZGTmmt1lPTw9FRUV2k+HRsFgsPPbYY3zyySe88cYb4zKyHY7vfe97DAwMkJ+fD1iL/Z988skz5l5qtVp+97vfsXHjRsxmM7feeisLFy4c97GUKJsg9pqpDj2L3VjbYKuXSomaflGO1OggatomJ1KWPI3sMGykDq65uk3vVlFWN40/Q4rJQafTUVpaSlZW1phCZCRRZotihIeHs2LFCodGJYFVyFVXV9PS0nKGK75Go7FfsMEavbJ1AvoNdFCtM1F5qoq42Bj7IG5nsHV5NjQ0sGTJkgkPrh4vw00aqKio4NSpU/j5+VFVVUVXVxdRUVGEh4e7rGnAEZqbm6msrJxwHdvceKt7fllzD6vnRNrP02Yv0tnZSVtbGzU1NVgsljM80oamadva2igrK7N3346G0Wjk7rvvRqPR8Oqrr47LEHckTp48Oez2oXMvATZt2sSmTZucOpYSZRPE5onlbtFRN81mOg4lNSqIt0pb3H6cunY9azKmX72UTZTVtunJTXVfa/90bIRQTA4Wi+UMV31HHP6HE2UtLS2UlZUxb948IiMjHR6VZPMsCw4OZvny5aPu7+vrS1xcHHFxcawdOM3+qlJa9BZ6BgdxOzPj0WbXIYTwqDu/rX6sv7+ftWvXotVq7U0Dp0+f5sSJEy5pGhgL23D49vb2czobx0NMiB/Rwb6caDrXt8zHx8d+HmDttO3o6KCtrY1Tp04B2MdudXR02COvo9Hd3c3NN9/MBRdcwE9/+tNJFbCuQomyCRIW4EtEkK/bOzCno0eZjbToYFp76tAbTAT5ueejZjBZON3VPy0Fh13Yu/0z1EdYgJbwwOljqaJwH2cPjo6Pj2fFihUOX9yHzr+0mZj29PSMe1RSe3s7paWlE0rPzR+MwBzRafjORUvsMx51Oh3FxcUYjUa7b9jZUZez6e3tpaioiOTk5AkVZruKofVjQwvYXdk04Ag2garVasnJyXFa2MyNC+FEU8+Y+2m12nM6WEtKSuju7kar1dpfG1un7tnramxs5LrrruOOO+7gxhtvnFZuBUNRoswJ0qLcn56radMT6j89L6ipQ6KJ8xPC3HKM0519SDk9RWuArw/xYf5u/wzVtumn1bQDhXuxpemqq6tZuHAh4eHjK7/QarWYTCb0ej0FBQXEx8eTmZnp8KgkWxRGp9OxbNmycUe1ABYkhnLZgjiefL+KS7NjyYgNts94tKXGOjo60Ol0VFZWnhGVGXpBb2pq4tSpU+MeoO1qbPYfmZmZdlEyEhNtGnAEWwo6ISHhDM8tZ5gXH8LfPqvHZLE4PBLLYrFw4sQJAgIC7Aa5AwMDZ9iM+Pn5ERUVRVtbG1qtlttuu43HH3+cvLw8l6zbUzglyoQQUcDfgdlAFfAtKWX7MPuZgcLBuzVSyssHt88BXgCigc+BG6WUkz+zYoKkRQdztLbDrceo1ulJi5leHmU27DVTOveJsi+L2KefKAPrazQZKfD02Kk9hFcxeUgp6evrY9WqVROyV9BoNPZITXZ2NmFhYQ5HxwYGBiguLiYsLIzc3FynojA/vSyLDyrb+PlrpTx3Sy6as2w7oqOj7YXpBoOBtrY26uvrKSkpITAwEJPJhBCC3NxcpwdoO4PNf2widWwjNQ3YBo7bmgaio6PHnDRgs0GZN2/emIX042FefAgDJgs1bX2kx4z9d8hoNHLs2DHi4+PPEIb+/v4kJCSQkJAAfBkx/M///E8+/fRTcnJy7GnP6YyzkbIdwJtSykeEEDsG7/94mP36pJQ5w2z/L+DXUsoXhBBPAluBXU6uadJIiw5ib+FpjGYLvj7uyV1X63pZOGtyTBJdTVr0lzVT7qK6zVqrMNvNBrXuIiUqiA8rdG57fptH2bq5nuveUkwtNBoNWVlZSCnH/ViTycTp06exWCysXLkSIYTDgqytrY0TJ04wd+7ccXXxjURMiB87Nmby01dL+dun9WxelTzivn5+fvYLel9fHwUFBfj7+yOl5PPPP3cqujRRbPV8/f39LvMfG27g+HCTBs5uGrBFDJcuXeryBgfb1BKNA4EFW/TVkYkFAQEBvP/++3R0dFBQUEBfXx8lJSUuWbMncfZTcAWwfvD2s8A7DC/KzkFY/wdfDFw/5PH3M41EWWpUEGaL1UdstgPfAMaLyWyhrr2PTYsTx955ChIR5EdYgNatdXfVOj1+Wqv9xnQkNSqIl7+op99oJsDX9cXFrT0G+ozmaRtJVEwduru7KSwsJDw83C5cHE1XVlZW0tHRMW4T1rG4YkkCewub+PVblWyYF8OsMbwKbcJwaDRoqCVFbW0tUsoz5li6o+h/pPoxVzPSpAFb04DtfTSZTG6JGOoNZp7/pJ71WdHMjh5d7HV0dFBSUsLChQsJCxs9s2KxWPjVr37FBx98wKFDh+yp56ysLJet3VM4K8ripZSnB283AvEj7BcghPgMMAGPSClfwZqy7JBSmgb3qQM8V2U5AWzjg6rb9G4RZQ0d/Zgs0h5xmo6kRgdR7cZIWVVrL2lRQWg00y+9C1ZRJqX122RG7Oit3hOhWjcYSXTD51MxfRFCOBwpG2oou3jxYruxqtlsJiYmhvDw8BFFRX9/P8XFxURERJCbm+ty8SGE4P6vzePyXZ/y//ae4Mnrhh/QPbSO7WxhODS6lJGRgclkor29nZaWFsrLy+21S9HR0S7pdhxP/ZirGdo0YDabKSwsxGw2ExAQwOeff+7ypoGXjjTQ0Wdk+wVpo+7X1NREVVWVQzWGRqORe+65B4vFwmuvveYSy4upxJiiTAhxCEgY5lc7h96RUkohxEj/y9OklPVCiHTgLSFEIdA5noUKIbYD2wFSU1PH81C3YRNLNbpewPXpIVtqzt2zI91JWlQwx093ue35q3X66f36RH/ZDOEOUXaqdXqndxWexWZZ4e/vbx+VZDOXbW9vp7Gx0V6QbXPeDwqy1sC2trbaB5m7skbpbJIiArnr4nQePljOvf88zgOXzydwSNTZJiKDg4MdqmPTarXExsba02f9/f3odDp7t2NISIhduIy3SaGhoYHa2tpJ9UEbDtuA9cTERJKTrWlfKSW9vb12zzpnmwYMJgt/+rCWlWkR5KQMX4Jj86hra2tzKIXb09PDli1bWLNmDffdd9+0tLwYizFFmZRyxFYGIUSTECJRSnlaCJEINI/wHPWDPyuFEO8Ay4B/ABFCCO1gtCwZqB9lHU8BTwGsWLFi/MUQbiAu1J8AX43b0nO2553ukbLXjzditkh8XBzNslgk1W29XJg1ud82XUlKlHvr7qp0vWg1QoFZm+YAACAASURBVKUvFePGNirJVt8zdFSSRqOxe4aBtRZIp9NRXl5OX9+XUzzcUaM0HDesSsJgMvOrNyup0un53bcXkxgeYI9KOePOHxAQcE63o06n4/jx4xgMBiIiIuzCZSRRYasfGxgY8Oj8SrBOLDh+/Pg5YlkIQUhICCEhIaM2DThiMwLwWmEjTd0DPHD5/GF/b7FYKC0tBXDIeqOxsZHrr7+e22+/nZtvvnlaNr85grOfjN3AzcAjgz9fPXsHIUQkoJdSDgghYoC1wKODkbW3gW9i7cAc9vFTGSEEqVHuS89V63rx12qID52e9VJgTc8ZzZKGjj6X2zI0dw/Qb7SQNo1Tc7EhVmHvLq+yKp11mL3WTY0oiumJIzVgNssKR0YlBQUFERQURExMDIWFhYSEhODn50dRUZG9uDw6OnpYfylXnc/WtWlkxgbzw5eP863//Yz71scTYRp+qLkzx7F1O86ePdvuSm+LpA13rrb6sejoaLfWjzlCY2Mj1dXV5OTkjJmeHK1p4NSpUyM2DQCYLZL/PVzDgsQQzk8/1xjbZDJRUFBAVFQUaWlpY74mJSUl3HrrrTz22GP2UUfeirOi7BHgRSHEVqAa+BaAEGIFcLuUchuQDfyPEMICaLDWlB0ffPyPgReEEA8AXwB/dHI9k05qVLDbLqjW1Nz0rZcCq5cbuMcrq8pWLzWNI4nuFvZVrb2qnkzhMLa0VkREBMuXL3d4VBJYR/JUVFSQnZ1tHxkE59pRBAUF2e0qXFG3NJR1c2P4y5Zl3Pb8F9y7r45fbJrLahcJsuE425Xedq4NDQ12A9a+vj4yMjKYNWuWxwSZTWjbJjdMJFLnSNNAdHQ0QWERPPZOPdVtfTxxzcJzzrm/v59jx44xe/ZsuyHuaLz//vv86Ec/4rnnnmPJkiXjXvd0wylRJqXUAZcMs/0zYNvg7Q+AxSM8vhJY5cwaPE1adBCHT7bau5BcSbVOT2rU9L6gpkZ/Od/xfBc/t72IfZrXS6VGBbklfSmlpFqnZ+Vs99XzKLyH5uZmew3YeEYl2VJzfX19LF++/Jzao6F2FLa6JZvZ6cDAgN1Hy5GU2Fjo9Xraq0v4/ZVpPP5hOz/fW0Z5q54f5mc4bFzqDEPPtb6+npqaGpKSkmhtbaWmpoawsDB7JG2yrDfMZjPFxcUEBASQk5PjsuvUcJMGSmuauOPVAk51mPhWdiDZIQP09fXZxXdXVxfFxcXnCPfhkFLyf//3f+zatYu9e/faa9+8HeXo7yRp0UH0Gc20dA8Q50JbBimnf70UQGJ4IL4+wi0GqVU6Pb4+gsQx2uCnOqlRwXxQoXO5sG/tMdAzYJrWkUSFexj6ObO5p+v1elasWDGuUUl6vZ6ioiLi4+MdSs0NrVtKTU21zzUc6rxvi6KFhoaO6/+DbXj2ggULCAsL48k5KTz+RgXPflzHicYedmzMYn6C65tpzsY2espgMLBq1Sq7pYbFYrGPgiooKMBsNhMZGWk3dnWH9UZ/fz8FBQUkJycza9Yslz//UIqbB7h7Tx39Rslvv72IVUmBZ0wa8PPzQ6/Xs2TJkjGnSFgsFp544gnef/99Xn/99XFPnZjOKFHmJHbX+ja9S0WZvV5qml9QfTSC5Mggt6R4q3W9pEQGTft6qdSoQPQGM609BmJDXefhZIskTueaO4V7sc2/TEhIYN68eZjNZocFmc1wNDs7e8IXTY1Gc0b6b2BggLa2Nmpqauju7iYkJMTe1TlSp6NtiLderz9jeLZWo+HHG7OYGx/CIwdPctVTn5I/P5Y71s1mbrx7xNnQ+rF58+ad8RpqNBrCw8MJDw8nPT3dbr3R2trKyZMn0Wq19ijaeAXpcNgK+h2JSjnLC5/V89CBcpIiAnjmpsVkDE4QsYnvmpoaGhoaSEhIoLy8fNSmAZPJxD333IPRaOS1117z6LQFT6BEmZPYvcpcnCb6svNy+l9QrTVTvS5/3qpW/bQXrfClh9ip1l6XijKbHcYcL/gMKVxPQ0MDVVVVLFiwgNDQUMxms0NizGw22yNBQ0WQK/D39ycxMZHExMQzOh2Li4sxmUxEREQQExNjjywNDAzYRdDSpUuHXfs3chK5ZH4Mz35Ux3Mf1/JGaQuXZlvFWVac68RZZ2cnJSUlZGVlOTSxYDjrjaGC1BnPMNvoJkcK+p3BYLbw4P5y/u9IAxdmRvHLqxYQFvDl50FKeUbU0JYKH65poKOjg76+Pp599llWr17Nz3/+c6+0vBgLJcqcJCkiEI2weZW5DlsRuzeIjrToII5Ut7s0PWetl+pl1ZzpXy9l8yerbOlx6flU6/T4aARJyg5DcRbNzc20traOe1RSb28vxcXFdn8rdxauD9fpaIsslZeXA9bIWmZm5phF9GEBvnx//RxuWp3Mnz+q5c8f1/FGSQsbF8TxnYtmkxXn3BeXhoYG6urqnPIfCwgIYNasWcyaNesMz7CSkhIMBgPh4eH22ruRhLCUkpMnT9Lb2+tW6w0pJV/UdvL4oQq+qOti29pU7tyQfobtkdlstvvDLVq06Iz3Z7imgX379vHYY4+h0+kQQvD555/bvfFmEkqUOYmfVsOsiECqXJyeq9Hp0WoESRHT/4KaHhNM94CJlp4B4lxk79HaY6DXYPaKeqlZEYH4azVUtPS49HlP6XpJiQx021xWxfQlNjaW8PBwLBaLQ6OSwBp9qa6uZuHChfaxNpOJ7UIeHR1NVVUVLS0tpKWlodPpqKmpITQ01F6PNlLKKzzQl+9vSOfGNSk8+2Etz31Sx8HjzVy2MI7vXjTbnnZzlKH1Y8uXL3dZXdhwnmEdHR32QfBCCHs9ms2OwmQyUVxcTHBw8IhRQ2cxmCzsL27m+U/qKD7dTViAlsevXsBXFp7ZRTkwMEBBQQFJSUkO1bJVVlbyX//1Xzz66KNs3LiR6upqt0b4pjJKlLmAOTHB9lSRq6jS9ZLkJf5SGYMpgormXpeJMm+ql/LRCObEBFPZ4trPULVO2WEohuePf/wjp0+fJj8/f8wLuNlsprS0FIvFYm8E8BRGo5Hi4mICAwNZsWKFPb0lpbQbnRYUFGCxWM4ooj87DRYR6MudF6dz85oU/vRhDX/5tJ4Dxc1clBVN3vwY1s+NITp49Fqm0erHXM3ZtXdGo5G2tja7HYXNeiM5OZnZs2e7fC3N3QP8/bN6XjzSgK7XSHpMED/fNJfLlyQQ5HemEO3p6aGoqMjhNO6//vUv7r33Xv785z+Tk5MDQFra6GOZnMFsNrNixQqSkpLYs2eP244zUZQocwEZsSG8+FktFot0maeY1Q5j+keBADJtoqylh/Myxv5P6gi2yOR0t8OwkREbQnHDuCaPjYqUkqpWPSvSpn96V+F6rrjiCg4cOMBvf/tbioqKWLJkCXl5eVxyySXExMTYL+o9PT0UFxfbu/c8aXza3d1NcXExc+bMOcffSghhL6KfM2eOvYi+ubmZsrIy/P397VE02xgogIggX+6+JIMt56Xw7Ed17Cls4t1yHYITLEsJZ8O8GC6ZF3NORN5WRD937lyHhIer8fX1tdtRdHR0UFxcTEJCAl1dXXz00Uf2qGFUVJRTA+CP1XXy/Cf1HDzejNkiWT83ms2rkjlvTuSwn4W2tjbKyspYtGgRISGj1+tJKfnHP/7B7373O/bu3UtKSsqE1zkefvOb35CdnU1Xl/vG/zmDEmUuIDMuBL3BTGNXP7NckG6UUlLR0sO3V07Oh9TdJIQFEOTnw8lm16XnqnW91nopL0jvAqTHBnOguJEBkxl/rfMpEGWHoRiNhIQEtmzZwpYtWzCbzXz22Wfs37+fzZs3YzKZWLduHQaDgbCwMO64444xL7Dupr6+nrq6Oofd+c8uou/r60On09m7NG31WVFRUfj6+hIZ5MddF6dz54Y5nGjq5c0TLbx1opXHD1Xw+KEK0mOCuGReDJfMjyWKbhrq691eRO8Itlq25cuX27tTh0YNi4qK7A0Stnq0sVKsXf1G3i3X8fzHdRQ2dBPi78P1K5O4fmUyqVEjn29DQwP19fX2KRCjYbFY+O///m/eeecdXn/9dbd3h9qoq6tj79697Ny5k1/96leTcszxokSZC7BFgk4297hElDV09qM3mO3PO90RQpARG+LSmqnKll6SIwPx007/9C5YI2Vmi6RGpycr3vl6HW9K7yrci4+PD6tXr2b16tX84he/oKamhhtuuIGOjg58fHwoLCwkLy+P/Pz8SY+W2VKnUkpWrFgx4ZqtwMBAkpOTSU5Ots90tNWiSSntUbSwsDDmJ4QwPyGEO9bNob6jn7fLWnmztIWnP6jhD4driAzQkL8gnoF6PSvS/M4Yfj5ZSCnPMOwd+rqcHTUc2ulYUVFh94KLiooiNDSUmvZ+jtZ18kVtF0frOjnZ3IsEZkcHct9XsrhiSQLB/iNLBdu0gO7ubnJzc8d8j0wmEz/84Q/p6+tjz549k2p5cdddd/Hoo4/S3d09acccL0qUuYChouyiubFOP195k/UDkxU3+cW07iIjNphPq9pd9nzlzd0ubWf3NOmDBcYVLb0uEWW2GkdvSe8qJgchBFqtlu9+97tcd911WCwWioqKOHDgALfffjvt7e1ceOGF5Ofnc/7554/oHeYKbMa0s2bNIikpyWVicOhMx4yMDHt9lm00UmBgoF2kJUUEccOqZK5ZGsuHnxdwqj+QYzp4rbCZF4+cRgDJkYFkxgaTGRtERmwwmbHBpMcEEeAmsWYymSgsLCQsLIwlS5aM+boM7XTsN5o5WtPGKyea+KK2gdJWAz1G634h/j7kJIdz2YI4VqSGszwtAs0Yz22xWDh+/Di+vr4ONRf09vZy6623smzZMu6///5JtbzYs2cPcXFxLF++nHfeeWfSjjtelChzAdHBfkQE+XLSRZEgW5rPm0RHRmwIrxxtQG8wEeTn3MfOaLZwqrWXS7LHnps2XZgTYxNlrvsM+floSFF2GIpxkpSUxHXXXQdYBcySJUtYsmQJP/rRj+ju7uadd95h37593HfffSQmJpKXl0deXh6ZmZkuE05nu/O7k6H1WVJK9Ho9Op2OEydO0N/fT1BQEF1dXSyYN4/1cXEADJjMfHSqg6KGLk629HKypZf3T+owWSQAGjFUrFn/ZcQGkR4T5FR5gl6vp7CwkLS0NBISEobdx2C20N5rpE1voL3XSGuvgZLT3XxR18Xx0932NaZFBXJJdjwL4gJIC7YQbO7CMKAnPNyX6MBAzCYTmlE86IxGIwUFBcTFxTlUD9bU1MTmzZvZunUrt95666TXJx4+fJjdu3ezb98++vv76erq4oYbbuD555+f1HWMhRJlLkAIQWZsiMtqpsqbeogJ8SNyjO6f6YQtmljZ0suiJOdGZlS19mI0S68SraEBvsSH+busA7OsqZuMuBCv6N5VTB1CQ0P5+te/zte//nW7J9aBAwfYuXMnNTU1nHfeeeTl5XHRRRdNyDbDYrFQUVFBT0+Py41pHUEIQXBwMMHBwaSmplJXV0dNTQ0xMTFUVVVRXV1tj6JdlBnFuqwvi/wNZgvVuj4qWns52dxrF2vvlukwyy/FWlJEIGEBWgJ9NQT6+RDo60PQ4M9ht/lpCPT1wdjXy8mqGkJjZ3H8lIH2ogra9Eba9Qbaeo322z0D5nPOy1+rYdGsULasSSEnJZyc5DCihrm+WCwWOjs77Sa2Ukp71+fQLla9Xk9BQQEZGRn2ur3ROHHiBLfccguPPPIIl1122UTfHqd4+OGHefjhhwF45513eOyxx6acIAMlylxGZlwIbxxvcslznWzpsRuKegsZQzownRVl5YPid64L0nxTifQY19XdlTX1sGJ2pEueS6EYDiEEWVlZZGVl8f3vf5+BgQHef/99Dhw4wKOPPkpISAiXXHIJ+fn5LFy4cMxU1cDAAEVFRURFRbl0cPZEsM0DNZlMrF692l4nZTAY0Ol01NXV0dXVRXBwsF2kBQQEkBUXbDWiXfDlc1nFmt4q0pp7qWrro3fARJ/RQrveSL2hnz6jmT6DhT6jmQGTZYzVVQOg1Qiigq1NClFBviRHBthvRwb7EhXkR2SQL1HBvtb6Wwe+oGk0GiIjI4mMjLSndtvb22lqaqKsrAw/Pz+CgoJobW1l8eLFDo3XOnz4MPfccw/PPvssy5YtG3P/mY4SZS4iMy6EFz6tpb3X4FSES0pJeVM3l+e4d3jsZJMWHYRGWGumnKWsqRsh8ELhGszuow1OTz7o7jdS39HH9fGpLlydQjE6/v7+9lSmlJL6+noOHDjAY489RklJCbm5ueTn57NhwwYiI8+0VGhvb6e0tNRjFhNDsY1uio2NJTU19Yx1+vn5nTEGyua6f/z4cQwGg90bbWiXo5+Phqy4EGtkf+HYxzdbJP1GM3qjmd5+EycqTtHTZyA+OZUQ/y8FV4i/j9uFq6+vL3FxccQNpm1ra2upqqoiJCSE48ePjzqbVErJyy+/zG9+8xv27NlDaurU+Xu0fv161q9f7+llDIsSZS7CFgk62dLDyuCJe0O1dA/Q1W/yqiJ/AH+tD6lRQVS4IMVb3tRDSmQQgX6T3/XkTtJjQujqNzk9mNxbI4mK6YMQguTkZLZt28a2bdswmUx8/PHHHDhwgF27dgFw8cUXc/HFF/Puu++yevVq1qxZ49bGAUew+Y/NmzfPbtQ6Eme77pvNZjo6OtDpdFRUVKDVau1RtJCQEIcFlI9GEOyvxU8jqS07QVZsBHPmLPRo5FBKSXV1NW1tbZx33nlotVqklHR3d9PW1kZxcTFGo9EuRqOjo3nuued48803ef3114mMVFF7R1GizEVkxn7ZgenMYPJyLyzyt+EqW4zy5m7mxnvh6xP35QxMp0TZYPfuPCXKFFMErVbL2rVrWbt2Lf/xH/9Ba2srr7zyCrfccgthYWEUFxdTU1PDpZdeSnx8vEcESH19PfVO+I/ZxIgt0mcbMF5VVUVPTw+hoaH2AeNj+Xj19vZSWFg4rFHuZGOxWCgtLQUgJyfHnoYWQhAWFkZYWJh9NmlHRwd79+7ll7/8Jb29vdx+++20trYqUTYOnKoCFkJECSHeEEKUD/4855UXQmwQQhwd8q9fCHHl4O+eEUKcGvK7HGfW40mSIgIJ9HXeINV2QfUWj7KhZMSFUNnai3mw+2ci2DovXWEbMdVIH+zAdLaL90RjD4G+PiSrzkvFFEQIQWxsLBaLhV/+8pccO3aMnTt30tbWxq233sr69ev52c9+xnvvvcfAwIDb12OxWCgpKaGtrY3ly5e7zBDWNmB88eLFrFmzhtTUVHvd3Mcff0xZWRk6nQ6z+czCfNuoqIULF3pckJlMJo4dO0ZgYCDZ2dmj1gX6+PgQEBDAvn37uO666zh27Bjz58+no6NjElc8/XE2UrYDeFNK+YgQYsfg/R8P3UFK+TaQA1YRB5wEXh+yyw+llC85uQ6Po9EI0mODnRdlzT2EBWidipRMVTJjQzCYLNS395E6Qaf5ap33dV7aSIoIJMRfy4lG54wNy5u7yYoPcdnIL4XCHdx2223228uWLWPZsmX89Kc/pauri7feeotXXnmFH/3oR6SmptrNa10913G0+jFXMjSqNHQMVEtLC+Xl5fj5+REdHW33TMvNzXVqPJIr6O/vp6CggNTU1BHtN4bS3NzM5s2b2bJlC9u2bUMIwbXXXuuWtdXW1nLTTTfR1NSEEILt27dz5513uuVYk42zouwKYP3g7WeBdzhLlJ3FN4H9Ukq9k8edkmTGhfCZkwapJ5t7yIoP9Wj9gLuwpedKG7smLMrKmry3XkqjEWQnhlLc4NxMthON3VyY5byJsULhCcLCwrjyyiu58sorsVgslJWVsX//fu69915Onz7N+eefT15eHhdeeKFDI5dGYjz1Y67m7DFQvb29lJSU0NfXh4+PDydPnrQX0E+m472N7u5uioqKyM7OdmgEUllZGVu2bOGhhx5i06ZNbl+fVqvl8ccfJzc3l+7ubpYvX05+fj4LFiwY+8FTHGdFWbyU8vTg7UZgrFjrtcDZA6ceFEL8HHgT2CGlHDZeLYTYDmwHplQXx1AyY0N49WgDvQOmUcdSjMbJ5h7yF3iPKepQshND0Qgobuji0oVjf/MaDm/tvLSxcFY4L35Wi9ki8ZlApKtDb6C5e4B5Cd75+ihmFhqNhvnz5zN//nzuvvtu+vr6eO+999i/fz8PPPAAUVFRdtuN+fPnO+wQ72z9mCsxGo2cOHGC6OhoZs+eDUBXVxetra3U1tbavcKio6MJDw93uwt+S0sLFRUVLF26lKCgsb88f/jhh9x9990888wz5ObmunVtNmwdsGD1zsvOzqa+vn5miDIhxCFguCvozqF3pJRSCDFisZAQIhFYDBwcsvknWMWcH/AU1ijbfwz3eCnlU4P7sGLFiokXJbmRhUlW5+njp7smVOzf1mtA12vwynoygCA/LRmxIRQ3dE74OcqbvbPz0saCWWHoDWaqdL0TEp62SKI31twpFIGBgWzcuJGNGzfaOwIPHjzIQw89RHl5OStWrCAvL48NGzYMG+Gx+Y+ZzeZzZkZ6AltBf3p6ut12ArDPrhzqFdbY2Ehpaal9DFRUVBRBQUEuzarU1tbS1NREbm7umBE6KSWvvPIKv/71r3nttddIS0tz2TrGQ1VVFV988QWrV6/2yPFdzZiiTEqZN9LvhBBNQohEKeXpQdHVPMpTfQt4WUppHPLctijbgBDiT8C9Dq57SmIzRS2s65yQKCuqt4qV+QnuHSviSRYlhfNhhW7Cjy9v8s7OSxsLZ1nf++KGrgmJshOq81IxQxBCMHv2bG677TZuu+02jEYjH3zwAQcOHOC3v/0tvr6+XHzxxeTl5ZGTk0NDQwN1dXUkJSWRkpLi8RIRnU5HeXk5CxcuHHX6wdleYbYxULaB5OHh4XaRNtEJCLYB5wMDAyxbtmxMsSql5Pe//z0HDx7kjTfe8Fh3ZU9PD1dffTVPPPGE28dxTRbOpi93AzcDjwz+fHWUfa/DGhmzM0TQCeBKoMjJ9XiUuNAAEsICKKyfWCSooM7apbI42TnH+6nMwllhvPxFPS3dA+NuZug3mqls6fXa9C5Yh9D7+giKGzq5fOn4DYTLm7oJ9deSGO5ZvyeFYrLx9fVl3bp1rFu3Diklzc3NHDx4kCeffJIPP/wQg8HAd7/7Xa6//nqPrlNKSW1tLc3NzQ5FpM4mKCiIoKAgUlJS7GORdDod1dXVCCHsqc6wsDCHUp1ms5mioiKCg4NZtGjRmGLVZDLxk5/8hM7OTvbt2+exhgSj0cjVV1/N5s2bueqqqzyyBnfgrCh7BHhRCLEV6+yHbwEIIVYAt0sptw3enw2kAO+e9fi/CCFiAQEcBW53cj0eZ3FyuF1cjZdjdZ2kxwQTHji5894mE1s0saihkw3z4sbY+0yKGzoxWSRLk8cuPJ2u+Gk1zI0P5fgEi/1LT1s7Lz0dBVAoPIkQgvj4eG666SZmz55NZWUlP/nJTzh27Bg33XQT/f39rFu3jvz8fFavXj1pMzZtnl9SSnJzc52uDxs6FgmsY6Da2tqor6+npKSEoKAgu3facLVzAwMDFBQUMGvWLJKSksY8nl6vZ+vWrSxatIjf/va3bq9vGwkpJVu3biU7O5sf/OAHHlmDu3BKlEkpdcAlw2z/DNg25H4VcM47LqW82JnjT0UWJ4VzqKSJngETIeMs9i+o6+C8dM+OGHE39vRc/fhF2Rc1VrGbk+q9ogysr9GbJc3jHrdkNFsoqO/gulVTsxFGMbV5/PHHuffee2lpaSEmJsbTy3EZq1ev5q233iIwMJDLL7+cn/3sZ7S3t3Po0CFefPFF7rnnHjIyMuy2G8nJyW75UmMwGCgsLCQmJsZt9ht+fn4kJCSQkJBwxhiokpISDAYDERER9jFQ/f39FBUVkZWV5dBoq5aWFjZv3syNN97I9u3bPfrF7/Dhwzz33HMsXryYnByrvelkdX66G+Xo72IWJ4cjpVV0rB6HwGrs7Kepa4AlXhwFAggN8GVOTDBF9eOPBB2t7SApIpC4UO9OzVk7MOto6hogYRxpyNLT3fQbLeSmKvdsxfiora3l9ddfn7Kd7c4wXHotMjKSa665hmuuucZuHrt//36+973v0draygUXXEB+fj5r1651SXdmT08PRUVFZGRk2G0w3M1IY6Da2tooKytjYGCApKQkfH19x/wCWF5ezpYtW3jggQf46le/OinrH40LLrgAKadkv5/TKFHmYhbbiv3HKcqODaY8l6Z4tygDayTIFvUaD0drO1ia4r31dja+LPbvHJcoO1Jj9chb5uWRRIXrufvuu3n00Ue54oorPL2USUej0bBw4UIWLlzIvffeS09PD++++y4HDhzgF7/4BXFxcXbbjaysrHGn7GwWE4sWLSIkxHNNSrYxUAMDA/j6+rJkyRJ6enqoqamhu7t7xOHiH330EXfddRd/+tOfWL58ucfWP1NQoszFxIT4Mys8gIK68RX7F9R1oNUI+wXZm1mUFM6egtO09xqIDHasyLW1Z4C69j5uOs8zbdeTSXZiGGLQz+2SbMebGr6oaScu1J+kCDVeSeE4r776KklJSSxdutTTS5kShISE8NWvfpWvfvWrSCmprKy0C7SqqipWr15NXl4e69atG7Xjz2bZodPpJlTQ72ps52IzW/Xx8SE0NJTExESklPT09KDT6ezDxQ8ePIhGo+HgwYPs3r3b7qGmcC9KlLmBxcnh4+7ALKjrZG58KAG+3um/NRRbNLG4oYsLshyrXTlqqydL8f7UXLC/ljnRweP2cztS00FuaqQq8lecQ15eHo2Njedsf/DBB3nooYd4/fXXh3mUQghBRkYGd9xxB3fccQcGg4HDhw+zf/9+Hn/8cQIDA+1RtMWLF9ujaLaUqBCCZcuWeawg3obFYuH48eP4+vqydOnSc/5GCCEIDQ0lNDSU2bNnYzKZiSI/GAAAEOVJREFUePnll3nrrbfw9fVl+/bt7N69+4wImsI9KFHmBhYnhXOwuImufiNhAWN39UgpKajrZNPiibncTzds0cDC+k7HRVltBz4aYRd03s7SlAjeL29xuNi/tWeAmjY9N6zxvpoghfMcOnRo2O2FhYWcOnXKHiWrq6sjNzeXTz75xKF5hzMNPz8/NmzYwIYNG5BScvr0aQ4cOMATTzxBcXExOTk5rFq1itdff51HHnmEOXPmePxLktFopKCgwD7fcyzMZjM7d+5Ep9Nx5MgR/P39aWxsdJsgO3DgAHfeeSdms5lt27axY8cOtxxnuuBZ+e6lLB4s1i9yMFpWrdPT2Wf0aquHoUQE+TE7OojPqtocfszR2g7mxYd6rZP/2ZyfEU1rj8FuBjsWR6pt9WTeH0lUuI7FixfT3NxMVVUVVVVVJCcnc+TIESXIHEAIwaxZs7j11lv5+9//ztGjR7nssst4+OGH6ezsZNu2bTzwwAN89NFHmEwmj6xRr9fz+eefk5qa6pAg0+v13HTTTYSEhPD888/bmyTc9Xkwm83ccccd7N+/n+PHj/O3v/2N48ePu+VY0wUlytzA0uRwNAI+rnRMdNiK/L2983IoF2bF8mGlDoPJMua+FovkWF2H11thDGVtpjWC+K/yVof2/6LWWpM4UyKJiunHD3/4Q+bPn8+SJUv4xje+QUfHxPwcpyparRa9Xs8777zDe++9x969e1m6dCl//vOfOf/887nxxht59tlnaWhomJTOwc7OTo4dO8aCBQsc6vhsaWnhyiuv5NJLL+Whhx6alJTrJ598QmZmJunp6fj5+XHttdfy6qujedB7P0qUuYGIID9yUiJ458RoU6e+5MMKHaH+Wq8eH3Q2F82NRW8w81n12MK1srWX7n4TOTOgM9XGrIhA0mODOXzSMVF2pLqdhbPCZkRNosJ9VFVVuc2jLD8/n6KiIgoKCpg7dy4PP/ywW47jSbZv3868efMQQhAdHc21117LM888Q0FBAT//+c/p7Oxk+/btrFu3jp07d/L222/T39/v8nU0NTVRWlpKTk6OQ+OHKioquPLKK/nxj3/Md77znUlLudbX15OSkmK/n5ycTH19/aQce6qiRJmb2DAvjmN1nbR0D4y6n8UiOVTSzLp5sWh9Zs7bcV5GNFqN4L2ysUXH++UtAKyawDzR6cwFmTF8fKptzGii0WyhoK5TpS4VU5pLL70UrdZaxrxmzRrq6uo8vKLJQ6PRsHTpUnbs2MFbb73F22+/zYYNG9izZw8bNmzgm9/8Jk8++SQVFRVORdGklFRVVVFfX09ubq5DHmuffPIJmzdv5qmnnuLrX//6hI+tcA0zRwVMMhvmW93q3ytrGXW/Y3UdtPYMePU8x+EI8deyPC1yzNcH4EBRI/PiQ5kdEzwJK5s6rM2MQW8wc7R29DTPhxU6+oxmzsvw7mkQCu/h6aef5itf+Yqnl+ExQkNDufzyy9m1axdHjx7liSeeQKvVsmPHDtauXcvdd9/Nvn376Onpcfg5bSOc9Ho9OTk5Do2O2r17N/feey+vvvoqK1eudOaUJkRSUhK1tbX2+7aB8TMZJcrcxMJZYcSF+vPWGCnMQyVN+GgE6+eOb+SQN3DR3FiOn+4aNZrY2jPAp1VtbFw08wqP16RHoxHwrzFSmHsLThPir2Xd3MlxClcoRiIvL49Fixad829ondCDDz6IVqtl8+bNHlzp1EEIwdy5c/n3f/939u7dy0cffcQ3v/lNPvjgAzZt2sTXvvY1nnjiCYqKirBYho+am0wmjh07RkBAANnZ2WPWg0kp2bVrF//zP//DwYMHmTNnjjtObUxWrlxJeXk5p06dwmAw8MILL3D55Zd7ZC1TBWWJ4SaEEKyfF8v+okZMZsuIqclDx5tZNTuK8CDvHUI+EuvmxvLLgyd4v7yFq3KTh93n0PEmLBIuWzjzRFl4oC9LkiM4fLKVH+TPHXYfg8nCgeJG8hfEq3oyhccZyXrDxjPPPMOePXt48803PW4VMVUJCAggPz+f/Px8pJTU1dVx4MABHn30UUpLS1m+fDn5+fls2LCBiIgIWlpaqKqqIjU11aEuSbPZzH333UdTUxP79+/3qPeYVqvld7/7HRs3bsRsNnPrrbeycOFCj61nKqAiZW7k4vlxdPebODLCSKEanZ4TTd3kzbDUpY0FiWFEB/uNmsI8UNxIalQQ2Ymhk7iyqcMFmTEcre2gU28c9veHT7bS2Wfkq4sTJ3llCsX4sAmL3bt3ExQU5OnlTAuEEKSkpPBv//ZvvPTSS3zxxRds27aN0tJSrrnmGi644ALWrVtHS0uLQx2WfX19bNmyhYCAAP7yl79MCTPYTZs2UVZWRkVFBTt37vT0cjyOEmVuZG1mDFqN4K3S4VOYh0qaAMjLnnmpSwCNRnDR3FjePtFC78C5Pj5d/UYOn2zlskUJM/Zb9abFiZgtkuc/rh7293sKThMaoOXCue7pmFMoXMX3vvc9uru7yc/PJycnh9tvv93TS5p2+Pr6cuGFF/LAAw/w8MMPY7FY+P73v8/u3bs577zz2LJlC88//zyNjY3nNAy0trbyjW98g0suuYRHHnkEHx8VWZ+KqPSlGwkN8OWCrBhe/KyW727IOMPdX0rJnoIG5saHkBY9swrYh3LTeWm8/EU9z35YxXfXZ57xu7dLmzGaJRtnYOrSxoJZYVw0N5Y/HT7F1gvmnJGiHDCZef14I5cuSMBfq/7AKqY2J0+edOvzzzRn+OzsbN588027hYnFYuHo0aPs37+fW265Bb1ez7p168jLyyM+Pp6tW7dy//33z/iaramOipS5mXvy59HWa+DJdyrO2L77WANHajq4cY33D9gejWWpkayfF8tT71XS3f9lis5gsvDku5XMCg9g2QzyJxuO29el09pj4KXPz7QQOFjcRHe/ia8tValLxcxmJjrDx8XFneEpp9FoyM3NZefOnbz77rscOnSI888/n3/+85/k5eWxa9cuJcimAU6JMiHENUKIYiGERQixYpT9LhNCnBBCnBRC7BiyfY4Q4uPB7X8XQvg5s56pyOLkcL6xLIk//usU9R19gDUt98DeEpYkh3P96pktygDuzptLh97Isx9U2bf95s0ySk538f+uWIRGMzNTlzbOS49maUoEf3i/ErPFmpKobdPzs1eKyE4M44JMlbpUzGyUM/y5hIeHc9VVV/HUU0/R2trK6tWrPb0khQM4GykrAq4C3htpByGED/B74CvAAuA6IcSCwV//F/BrKWUm0A5sdXI9U5J7N85DAv/xWjGfV7fz8L5SWnsGeODKRfjMcMEB1uHbl8yP46n3KtlbcJq3TzSz650KrlmePOP824ZDCMF31qVTrdOz4x8FnGjs5rt/OYJFSp68IRffGWQ6rFAMh3KGH53JrMn19nFa7sapv+ZSyhIp5YkxdlsFnJRSVkopDcALwBXC+im5GHhpcL9ngSudWc9UJSkikNsvSudgcRNX7/qAv31Sw41r0mbUrMux+OFl8/DRCO746xFu+dOnJIYH8vOvLxj7gTOESxckcMOaVF45Ws/GJ96jsL6TX38rZ0bXIyoUiqnHTBin5U4mo9A/Cagdcr8OWA1EAx1SStOQ7SNa+QohtgPbAYem3U817s6fy2WLEmnq7qerz8ilC2Zu8fpwzE8I49OdeRyr6+STU21cNDeG0ICZ5902EhqN4IErF/Pvl2Txt49riQ31n7FWKgrF2Shn+KnDpZdear+9Zs0aXnrppVH2VpzNmKJMCHEIGE5B7JRSTlrSXkr5FPAUwIoVKyY+HMxDCCFYMCuMBYw9HHamovXRsDwtkuVpaobjSMSFBnBnXpanl6FQTCmGOsMnJSXxwgsv8Ne//tXTy5rxPP3003z729/29DKmFWOKMillnpPHqAdShtxPHtymAyKEENrBaJltu0KhUCgUDjOZzvC1tbXcdNNNNDU1IYRg+/bt3HnnnW451lQlLy+PxsbGc7Y/+OCDXHHFFfbbapzW+JmM9OWnQJYQYg5W0XUtcL2UUgoh3ga+ibXO7GZgZrfLKBQKhWJCbNq0iU2bNrn9OFqtlscff5zc3Fy6u7vtY48WLJg5NbBqnJb7cNYS4xtCiDrgPGCvEOLg4PZZQoh9AINRsO8BB4ES4EUpZfHgU/wY+IEQ4iTWGrM/OrMehUKhUCjcSWJiIrm5uQCEhoaSnZ2tOj2HoMZpOYc4exTDdGDFihXys88+8/QyFArFJCGE+FxKOaIX4jRj+v3RVQxLVVUVF110EUVFRYSFqXphgMzMTAYGBoiOjgasxf5PPvmkh1c1JXAoZKjGLCkUCoVCMU56enq4+uqreeKJJ5QgG4K7x2l5O8p1UqFQKBSKcWA0Grn66qvZvHkzV111laeXo/AilChTKBQKhcJBpJRs3bqV7OxsfvCDH3h6OQovQ4kyhUKhUCgc5PDhwzz33HO89dZb5OTkkJOTw759+zy9LIWXMC0L/YUQLUC1g7vHAK1uXM5UQZ2n9zATzhHGd55pUspYdy5GoZiqDM6Q/gyol1J+zdPrUbiPaVnoP54/zkKIz7yoa2tE1Hl6DzPhHGHmnKdC4QLuxGoppToKvByVvlQoFAqFYooihEgGvgr8r6fXonA/SpQpFAqFQjF1eQL4EWDx9EIU7mcmiLKnPL2ASUKdp/cwE84RZs55KhQTQgjxNaBZSvm5p9eimBymZaG/QqFQKBTejhDiYeBGwAQEYK0p+6eU8gaPLkzhNpQoUygUCoViiiOEWA/cq7ovvRuvTl8KIS4TQpwQQpwUQuzw9HrchRCiSghRKIQ4KoTwiqGgQoinhRDNQoiiIduihBBvCCHKB39GenKNrmCE87xfCFE/+H4eFUJs8uQanUUIkSKEeFsIcVwIUSyEuHNwu9e9nwqFQuEMXhspG/R1KQPygTrgU+A6KeVxjy7MDQghqoAVUkqv8bYSQlwE9AB/llIuGtz2KNAmpXxkUGRHSil/7Ml1OssI53k/0COlfMyTa3MVQohEIFFKeUQIEQp8DlwJbMHL3k+FQqFwBm+OlK0CTkopK6WUBuAF4AoPr0nhIFLK94C2szZfATw7ePtZrBf2ac0I5+lVSClPSymPDN7uxuq3lIQXvp8KhULhDN4sypKA2iH36wa3eSMSeF0I8bkQYrunF+NG4qWUpwdvNwLxnlyMm/meEKJgML3pNWk9IcRsYBnwMTPr/VQoFIox8WZRNpO4QEqZC3wFuGMwJebVSGve3Ttz77ALyABygNPA455djmsQQoQA/wDuklJ2Df2dl7+fCoVC4RDeLMrqgZQh95MHt3kdUsr6wZ/NwMtYU7feSNNgfZKtTqnZw+txC1LKJimlWUppAf6AF7yfQghfrILsL1LKfw5unhHvp0KhUDiKN4uyT4EsIcQcIYQfcC2w28NrcjlCiODB4mmEEMHApUDR6I+atuwGbh68fTPwqgfX4jZsQmWQbzDN308hhAD+CJRIKX815Fcz4v1UKBQKR/Ha7kuAQSuBJwAf4Gkp5YMeXpLLEUKkY42OgXXA/F+94TyFEH8D1gMxQBPwC+AV4EUgFagGviWlnNZF8iOc53qsqUsJVAG3Dam9mnYIIS4A3gcK+XJUzE+x1pV51fupUCgUzuDVokyhUCgUCoViuuDN6UuFQqFQKBSKaYMSZQqFQqFQKBRTACXKFAqFQqFQKKYASpQpFAqFQqFQTAGUKFMoFAqFQqGYAihRplAoFAqFQjEFUKJMoVAoFAqFYgqgRJlCoVAoFArFFOD/A09qbac495wiAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\" Première manière avec une des deux boites en 3d\"\"\"\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "fig=plt.figure(figsize=(10,4))\n",
    "fig.suptitle(\"DEUX BOITES TRES DIFFERENTES\")\n",
    "\n",
    "ax0=fig.add_subplot(1,2,1) \n",
    "ax0.set_title(\"en 2D\")\n",
    "ax0.plot(x,y)\n",
    "\n",
    "#----------------------------------\n",
    "z3 = np.linspace(-2, 2, 100)\n",
    "theta = np.linspace(-4 * np.pi, 4 * np.pi, 100)\n",
    "r3 = z3**2 + 1\n",
    "x3 = r3 * np.sin(theta)\n",
    "y3 = r3 * np.cos(theta)\n",
    "ax1=fig.add_subplot(1,2,2, projection='3d') #  la seconde boite-graphique est en 3d\n",
    "ax1.set_title(\"en 3D\")\n",
    "ax1.plot(x3,y3,z3);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Des boites-graphiques partageant les graduations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x216 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"Un vecteur de trois boites-graphiques\"\n",
    "\n",
    "fig,axs=plt.subplots(1,3,sharey=True,figsize=(9,3))\n",
    "#variante: fig,(ax0,ax1,ax2)=plt.subplots(1,3)\n",
    "\n",
    "\"Attention axis[0,0] provoque une erreur car on a crée un vecteur\"\n",
    "axs[0].plot(x,y)\n",
    "axs[0].set_title(r\"$x \\to \\cos(x)$\")\n",
    "\n",
    "axs[1].plot(x,1/y)\n",
    "axs[1].set_title(r\"$x \\to \\frac {1}{\\cos(x)}$\")\n",
    "axs[1].set_ylim([-10,10])\n",
    "\n",
    "axs[2].plot(x,y**10)\n",
    "axs[2].set_title(r\"$x \\to \\cos(x)^{10}$\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***A vous:*** \n",
    "\n",
    "* Les asymptotes (=pic) horizontaux n'ont pas toute la même hauteur. Bizarre, corrigez ($1\\heartsuit$)! \n",
    "* En remplaçant `y=np.cos(x)` par `y=np.sin(x)` cela bug, expliquez ($2\\heartsuit$) pourquoi?\n",
    "* Mettez ($2\\heartsuit$) ces trois graphiques en colonne, et faites qu'ils partagent les même graduation en abscisses. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x288 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"Une matrice de $2\\times 3$ boites-graphiques\"\n",
    "fig,ax=plt.subplots(2,3,sharex=True,sharey=True,figsize=(9,3))\n",
    "#variante: fig,((ax0,ax1,ax2),(ax3,ax4,ax5))=plt.subplots(1,3)\n",
    "\n",
    "\"on supprime les marges qui sont mises par défaut. On pourrait aussi les augmenter\"\n",
    "fig.subplots_adjust(wspace=0.,hspace=0)\n",
    "\n",
    "for i in range(2):\n",
    "    for j in range(3):\n",
    "        ax[i,j].plot(x,np.sin((i+1)*x)*(j+1)*x)\n",
    "        ax[i,j].set_title(\"i:\"+str(i)+\" j:\"+str(j))\n",
    "        \"\"\"On met une même échelle pour comparer les graphiques\"\"\"\n",
    "        ax[i,j].set_ylim([-50,50])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Emboitements tordus"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "\n",
    "ax1 = fig.add_subplot(2,2,1)\n",
    "ax2 = fig.add_subplot(2,2,3)\n",
    "ax3 = fig.add_subplot(1,2,2, projection='3d')\n",
    "ax1.plot(x3,y3)\n",
    "ax2.plot(x3,z3)\n",
    "ax3.plot(x3,y3,z3);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***A vous:*** Ajoutez $(1\\heartsuit)$ le tracez de `z3` en fonction de `y3` sur la même figure; agrandissez-là un peu.  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Espacement des boites-graphiqus\n",
    "\n",
    "On peut utiliser `fig.subplots_adjust(wspace=0.6,hspace=0.6)` mais la fonction vraiment magique \n",
    "c'est `fig.tight_layout(w_pad=4, h_pad=2)`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def example_plot(ax):\n",
    "    fontsize=24\n",
    "    ax.plot([1, 2],[1,2])\n",
    "    ax.set_xlabel('x-label', fontsize=fontsize)\n",
    "    ax.set_ylabel('y-label', fontsize=fontsize)\n",
    "    ax.set_title('Title', fontsize=fontsize)\n",
    "    \n",
    "fig, ((ax1, ax2), (ax3, ax4)) = plt.subplots(nrows=2, ncols=2,figsize=(5,5))\n",
    "example_plot(ax1)\n",
    "example_plot(ax2)\n",
    "example_plot(ax3)\n",
    "example_plot(ax4)\n",
    "fig.tight_layout()\n",
    "\"si on veut un miste en page moins 'tight' \"\n",
    "#fig.tight_layout( w_pad=4, h_pad=2)\n",
    "\"le mot 'pad' signiife 'padding' (=espacement)\";"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## La syntaxe implicite\n",
    "\n",
    "Cette syntaxe implicite est très utilisée mais elle est en voie d'obsolécence. Le mot 'implicite' vient du fait que l'on ne nome pas explicitement la figure `fig` et les boites graphiques `ax`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [],
   "source": [
    "\"\"\"les données\"\"\"\n",
    "x=np.linspace(0,4*np.pi,100)\n",
    "y=np.sin(x)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### une syntaxe plus courte"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x144 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,2))\n",
    "plt.plot(x,y)\n",
    "plt.xticks([0,2*np.pi,4*np.pi],[\"0\",r\"$2\\pi$\",r\"$4\\pi$\"]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x144 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"au lieu de\"\n",
    "fig,ax=plt.subplots(figsize=(8,2))\n",
    "ax.plot(x,y)\n",
    "ax.set_xticks([0,2*np.pi,4*np.pi])\n",
    "ax.set_xticklabels([\"0\",r\"$2\\pi$\",r\"$4\\pi$\"]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plusieurs boites\n",
    "\n",
    "La syntaxe implicite permet aussi de faire plusieurs boites-graphique. Mais observez-bien: il y a une notions de \"boite-graphique\" courrante dans lequel on trace les `plt.plot()`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x144 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,2))\n",
    "plt.subplot(1,2,1) \n",
    "plt.plot(x,y)\n",
    "\"\"\"changement de boite graphique\"\"\"\n",
    "plt.subplot(1,2,2) \n",
    "plt.plot(y,x);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Comment retrouver figure et boites-graphiques? \n",
    "\n",
    "Cette partir est un peu technique. Lisez-là si vous voulez comprendre le lien entre la syntaxe implicite et explicite. \n",
    "\n",
    "En implicite, une figure courante est automatiquement crée. Puis quand on écrit `plt.subplot(1,2,1)` une boite graphique courante est automatiquement crée. On peut récupérer la figure courante avec `plt.gcf()` et la boite graphique courante avec `plt.gca()` ou bien comme le résultat de `plt.subplot(1,2,1)`. La preuve:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ax1 is ax2: False\n",
      "aa is ax1: True\n",
      "fig1 is fig2: True\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x144 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,2))\n",
    "aa=plt.subplot(1,2,1)\n",
    "plt.plot(x,y)\n",
    "\n",
    "fig1=plt.gcf() #-> figure\n",
    "ax1=plt.gca()  #-> boite (=axes)\n",
    "\n",
    "plt.subplot(1,2,2)\n",
    "plt.plot(y,x)\n",
    "\n",
    "fig2=plt.gcf() #-> figure\n",
    "ax2=plt.gca()  #-> boite (=axes)\n",
    "\n",
    "print(\"ax1 is ax2:\",ax1 is ax2)\n",
    "print(\"aa is ax1:\",aa is ax1)\n",
    "print(\"fig1 is fig2:\",fig1 is fig2)\n",
    "\n",
    "#En syntaxe explicite les choses seraient plus explicite!\"\n",
    "#fig,(ax1,ax2)=plt.subplots(1,2)\n",
    "#fig.set_size_inches(8,2)\n",
    "#ax1.plot(x,np.sin(x))\n",
    "#ax2.plot(np.sin(x),x);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Attention aux variations (Grrrr)\n",
    "\n",
    "La syntaxe implicite permet de changer directement les options de la boite-graphique courante. Exemple:\n",
    "\n",
    "* `plt.legend()`: pour que les labels s'affichent.  \n",
    "* `plt.ylim()`: limite les ordonnées\n",
    "* `plt.xticks()`: les graduations en `x`\n",
    "\n",
    "Ce qui est l'équivalent de:\n",
    "\n",
    "* `ax.legend()`  \n",
    "* `ax.set_ylim()`\n",
    "* `ax.set_xticks()`\n",
    "\n",
    "Et il y a plein de gag comme par exple le\n",
    "\n",
    "    plt.xticks([0,2*np.pi,4*np.pi],[\"0\",r\"$2\\pi$\",r\"$4\\pi$\"]);\n",
    "\n",
    "du début. Ces variation sont très pénibles: même sur l'aide officielle ils utilisent un coup la syntaxe implicite, un coup l'explicite."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Les courbes\n",
    "\n",
    "Assez parler de la forme, parlons du contenu!  \n",
    "\n",
    "### Une exemple complet"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x=np.linspace(0,20,200)\n",
    "x_=np.linspace(0,20,50)\n",
    "\n",
    "fig,ax=plt.subplots() # une figure, une seule case. \n",
    "\n",
    "ax.plot(x_,np.cos(x_),\"r.\",label=r\"$x \\to \\cos(x)$\")\n",
    "ax.plot(x,1/np.cos(x),label=r\"$x \\to \\frac {1}{\\cos(x)}$\")\n",
    "\n",
    "ax.set_aspect(\"equal\") #même échelle en abscisse et en ordonnée\n",
    "ax.set_ylim([-10,10]) #limitation des ordonnées\n",
    "ax.set_xticks(np.linspace(0,20,5,endpoint=False)) #graduations\n",
    "ax.set_title(\"sinus et son inverse\")\n",
    "ax.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Courbe 3D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"cet import est necessaire même si le mot clef 'Axes3D' n'apparait pas ensuite. \"\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(1,1,1, projection='3d')\n",
    "\n",
    "theta = np.linspace(-4 * np.pi, 4 * np.pi, 100)\n",
    "z = np.linspace(-2, 2, 100)\n",
    "r = z**2 + 1\n",
    "x = r * np.sin(theta)\n",
    "y = r * np.cos(theta)\n",
    "ax.plot(x, y, z, label='parametric curve')\n",
    "ax.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Une courbe de couleur changeante\n",
    "\n",
    "Cela peut-être pratique quand veut représenter une courbe paramétrique $x(t),y(t)$ en montrant l'écoulement du temps $t$. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-1.1, 1.1)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib.collections import LineCollection\n",
    "\n",
    "t = np.linspace(0, 10, 200) #time\n",
    "x = np.cos(np.pi * t)\n",
    "y = np.sin(t)\n",
    "points = np.array([x, y]).T.reshape(-1, 1, 2)\n",
    "\"on crée une collection de segments\"\n",
    "segments = np.concatenate([points[:-1], points[1:]], axis=1)\n",
    "lc = LineCollection(segments, cmap=\"jet\",norm=plt.Normalize(0, 10))\n",
    "\"on précise que la couleur doit varier en fonction de t\"\n",
    "lc.set_array(t)\n",
    "lc.set_linewidth(3)\n",
    "\n",
    "fig,ax=plt.subplots()\n",
    "ax.add_collection(lc)\n",
    "ax.set_xlim(-1.1,1.1)\n",
    "ax.set_ylim(-1.1,1.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***A vous:*** Créez $(4\\heartsuit)$ une courbe paramétrique 3D de couleur changeante. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### résumé des arguments principaux de .plot()\n",
    "\n",
    "\n",
    "1/ Arguments obligatoires\n",
    "\n",
    "* `x`: la listes des abscisses \n",
    "* `y`: la liste des ordonnées\n",
    "\n",
    "\n",
    "2/ L'argument qui défini le style de trait. Que l'on met toujours en troisème position. Mais il est facultatif. \n",
    "\n",
    "*  Cela peut-être une couleur, mais si on ne la précise pas, la couleur change à appel de `ax.plot()`\n",
    "    * `\"r\"`: ***r***ed\n",
    "    * `\"k\"`: blac***k***\n",
    "    * `\"b\"`: ***b***lue\n",
    "* Cela peut-être un symbole, ex:     \n",
    "    * `\".\"`:  des petits points\n",
    "    * `\"o\"`:  des gros points\n",
    "    * `\"o-\"`: des gros points et en trait plein\n",
    "* Cela peut-être un mélange, ex:\n",
    "\n",
    "    * `\"r.\"`:  des petits points red\n",
    "    * `\"ko\"`:  des gros points black\n",
    "    * `\"go-\"`: devinez!\n",
    "    \n",
    "\n",
    "3/ Arguments facultatifs\n",
    "\n",
    "* `label=`: une chaine de caractére associée à chaque courbe. Ne pas oublié d'appeler `ax.legend()` pour que les labels s'affichent\n",
    "* `lw=2`: épaisseur du trait (=lineWidth)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ticks, labels et texte"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Latex\n",
    "\n",
    "On peut utiliser latex dans toutes les textes de matplotlib, mais attention à la syntaxe: `r\"$...$\"`. Le `r` devant les guillemets signifie `raw`, et cela indique à python de ne pas interpréter les catactères spéciaux. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exemples complets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"données\"\n",
    "right=10*np.pi\n",
    "x=np.linspace(0,right,100)\n",
    "y=np.sin(x)\n",
    "pis=np.arange(0,right,2*np.pi)\n",
    "maxis=pis+np.pi/2\n",
    "\n",
    "\"plot\"\n",
    "fig,ax=plt.subplots()\n",
    "ax.plot(x,y)\n",
    "ax.grid(True)\n",
    "\n",
    "\"ticks\"\n",
    "xticks_text=[\"0\"]\n",
    "for i in range(1,len(pis)): xticks_text.append(str(i)+r\"$\\pi$\")    \n",
    "ax.set_xticks(pis)\n",
    "ax.set_xticklabels(xticks_text,rotation=45)\n",
    "ax.set_yticks([-1,0,1])\n",
    "#version implicite:\n",
    "# plt.xticks(maxis,xticks_text)\n",
    "\n",
    "\"label\"\n",
    "ax.set_xlabel(\"abscisses\\n(xlabel)\",fontsize=14)\n",
    "ax.set_ylabel(\"ordonnées\\n(ylabel)\")\n",
    "ax.set_ylim(-2,2)\n",
    "ax.axhline(0.,c=\"r\")\n",
    "for x in maxis: ax.axvline(x,c=\"g\")\n",
    "#plt.title(\"test line spacing for multiline text\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0,0.5,'âges')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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=\n",
      "text/plain": [
       "<Figure size 144x144 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ages=[12,25,40,7]\n",
    "names=[\"Maxime\",\"Paul\",\"Robert\",\"Joachim\"]\n",
    "\"plot\"\n",
    "fig,ax=plt.subplots()\n",
    "fig.set_size_inches(2,2)\n",
    "ax.bar([1,2,3,4],ages)\n",
    "ax.set_xticks([1,2,3,4])\n",
    "ax.set_xticklabels(names,rotation=90)\n",
    "ax.set_ylabel(\"âges\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Surface: en niveaux de couleurs ou en 3D\n",
    "\n",
    "Pour observer le graphe d'une fonction de $\\mathbb R^2$ dans $\\mathbb R$, on peut faire un graphique en 3d (cf. plus bas). Mais personnellement je trouve que les tracés en niveau de couleur sont beaucoup plus clair: la couleur remplace la troisème dimmension.\n",
    "\n",
    "### Afficher une matrice\n",
    "\n",
    "Par défaut: l'echelle des couleurs va du bleu foncé au jaune clair. \n",
    "\n",
    "***Conseil:*** dès que vous avez plusieurs boites-graphiques, précisez à la main l'échelle de couleur. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[-10   2   3]\n",
      " [  4   5   6]\n",
      " [  7   8   9]\n",
      " [ 10  11  12]\n",
      " [ 13  14  15]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "M=np.array([[-10,2,3],[4,5,6],[7,8,9],[10,11,12],[13,14,15]])\n",
    "print(M)\n",
    "\n",
    "fig,ax=plt.subplots(1,2)\n",
    "img0=ax[0].imshow(M,vmin=-20, vmax=30) # on précise l'échelle de couleur\n",
    "img1=ax[1].imshow(2*M.T,vmin=-20, vmax=30)\n",
    "\n",
    "\"\"\"Attention, il faut passer le résultat de imshow() en argument de colorbar(). \"\"\"\n",
    "fig.colorbar(img0); #on aurait pu mettre `img1