{ "metadata": { "name": "", "signature": "sha256:3800f477dfdd6a54eca6251bf9792c15e6cc2436aeccee025b9ef500a7224d4f" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Quick Intro to 2D and 3D Visualization in Python" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### By Sukhbinder Singh\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This tutorial offers a quick look at some common 2d and 3d Visualization available in python. This tutorial is meant to give anyone a quick start in matplotlib and mayavi.mlab. \n", "\n", "The tutorial was written as part of CSRP program of AeSIAA which the author is participating as a mentor to few aeronautical students.\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#Matplotlib" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Matplotlib is an excellent 2D and 3D graphics library for generating scientific figures. Some of the many advantages of this library include:\n", "\n", "* Easy to get started\n", "* Support for $\\LaTeX$ formatted labels and texts\n", "* Great control of every element in a figure, including figure size and DPI. \n", "* High-quality output in many formats, including PNG, PDF, SVG, ETC\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####There are lot of ways to import matplotlib but the most elegant way is \n", "\n", "###Import the `matplotlib.pyplot` module under the name `plt` " ] }, { "cell_type": "code", "collapsed": false, "input": [ "import matplotlib.pyplot as plt" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####This line configures matplotlib to show figures embedded in the notebook, instead of opening a new window for each figure. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Import numpy. We will use it to generate the data for our plots" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Generate some data" ] }, { "cell_type": "code", "collapsed": false, "input": [ "a=np.random.rand(10,3)\n", "x=a[:,0]\n", "y=a[:,1]\n", "z=np.linspace(0,2*np.pi,10)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# To plot , follow the following 3 steps" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####1. Add figure\n", "#####2. Add axes to the figure\n", "#####3. Plot" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure()\n", "axes = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # left, bottom, width, height (range 0 to 1)\n", "axes.plot(a);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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/mFRrmpLWKUoi8TBGSX/IEJEvzBP16pGHxWefSR2J8OTmAj/9ZLyWX5oZM8hv\nODOz6KVKVpUw0WciFkVxcCaTGWfPUgXKxIn8jSmErq8u0zRmI5x6MZfxpOtr1PPVVTsCbdizsiJb\nrd27BRm+XCpe0r9wAahUSXsLIVPgo4+oskDqgl+hWbWKCpv9/fkdt3VrEq4XLy7x8uT2k7Hxykak\n56ZrOVGezJxJa9SVeezH0707cPIkf7p+anYq9tzYg7Htxho1joudC2xtbBH3hJ8nXa16vsCl3EOH\nSqfrS5r0u3Qhb5CnT0W8qFrakfm2+/37qeORRqpUoQXdTz6RpuuFGOTlkSUy37N8NTNmUBlsVlbR\nS441HdGrWS+svbhWmGsKwPHj5Aw5frwBJ9+/r7GtJECtHJycgPPnjYtPzaoLqzDUYyjsqxrvNsZn\n39wyM/3cXPql9urFy/ja6NOHbjhpaYJeRiOSJv3KlakM9tAhES9qAnp+Xh61eV2xQsdBr79Obp1r\nTSdB6cWqVVTf1rGjMOO3aUNdt0JCSrw8xW8KFkYt5L0sUAgYoxn+zJmlNGkuqFTAO++QTJiUpPEQ\nviQeFVMhJDpErx24uuCrb+6jR7RXz82t2IunTpEKIKQVJqhsMyCAJndiI7n3QFCQiPX6d+6Qk2bn\nziJd0DAOHaLv5LZtOg6ysCBd+ptvSsxWzQKhZ/lqZsygMtjs7KKXApoEwNLCEkdvy186O3SIEtdb\nbxlw8q+/0u957Fgy0tcAX4u5RxKPwNbGFh2d+LmBB7oE8lKvHxVFVcAlHFgE2IWrDalKN2WR9MPD\nRdqhtmsXraBYy9utcvNmykfXr1PPFa107EiPSloe0U2W1auphZPQN2cvL/odLl1a9JKFhYVJ+PEw\nRp+R2bMN+DhHRZG0tW4d3THK+AkTfOn6fCzgFsfFzgWVrCrhxpMbRo2jUc8XMekPHkyXy8sT5XKv\nEKZatCzaLiVwSWxJevdmbPt2ES5kODk5jNWuzdi9e4yNGcPYX3+Vc0JiImP29nSCOZCXx5iLC2Mn\nT4pzvZgYKnDPzi56KT0nndWeW5slPU8SJwYD2L2bDCD1NodNT2fMzY2xLVvo54ICxhwcGLtxQ+Ph\nnp6MRUYaHmdyejKzm2vHnuc8N3wQDbyz4x22JGqJUWP078/Yjh3FXpBg81DHjowdOMDfeFxSuuQz\nfQsLkQzY0tKAf/8VbJcdXxw8SL00HR2BESPKkXgA6nY9cSLJPObAmjXkftWlizjX8/amlbxlr7x3\nalSugTfMLaN1AAAgAElEQVTbvImQcyE6TpQOlYp0/DlzDDCH/egjEpNHjqSfraxofUhLZ6jAQOOK\nxFacX4E3Wr3Bezc3Y+v1GdMw0z94kPZwiKgEqL14RIW/e4xudF1q61bG+vUTOIANGxgbNEjgixjP\n22+/mt1nZzNWsyZjjx6Vc1JaGs3WYmIEj09Q8vIYa9pUg7G5wJw7Rz79L14UvXT10VXW4NcGLLcg\nV9xYOLB1K2M+PvSUrBcbNjDWvDljmZklXz91ijEPD40Dbt1KM2JDKCgsYM6/ObOY+/x/Lm8+vcka\n/trQYH/9W7foT16Ct95iLCTE+OD04OpVxpydDfhbaoFLSpd8pg9QddSpU+SeKxgmsCErN5dscUeM\noJ+rViV5sdzFnlq1SNydPt20PffXrqX2RTw7G5ZL+/Y041++vOilVvVaoWXdltgWW96jlrgUFtL6\n9nff6Vl1nJhITXM3bizrIdyxIy1mX7pU5rSAAPpuGqLr70/Yj4Y1GsK7IYe2lnrS1K4prC2tEf80\n3qDzy8zyVSqa6Ytstd6yJW0bEtLKujSySPp2dlRBd+KEQBfIyyP9SOYGawcO0O+hYcNXr3GSeABg\nwgTg4UO6a5gi+fnADz8IX7GjjVmzaO9DMevqqR2mym5Bd9MmoGZNconmTEEBLdh+8YXmBjSWlkBw\nsMYF3bp1yS7FEFdIfRul6IOFhYVRpZtl6vMvXqR2qE2a8BIfVywsxPfYl0XSBwTenRsRQTXfDRoI\ndAF+2LyZ+jAXZ8AAmmmVu4nD2pqqeP7v/yiBmhrr19MXrnt3aa7v50d33GKbI4a0GII7z+/gQoqI\n0zAdFBTQA53es/w5c4AaNYCPP9Z+zOjRlPQ1PCkaouvfSbuDM/fOYJTnKP1O1AN16aYhlJnph4dL\ntt4ndummbJJ+374C1uubwIasnJyS0o6aGjWoXpqTT0e/frSwu2SJECEKR0EB8P330s3y1cycSV4/\nL2f71pbWmNx+MhZGymO2v3Yt9efu2VOPk44fp0Xq1at1r/p6edFuyX//LfOWIZu0lsUsw5g2Y2Br\nw5MDnAbUO3OZnpJmQQHtNC7h1C1iqWZpunQB7t7VukeOf/hZPiif8i5VUECVh8nJPF9YpSJr3thY\nngfml507GQsI0Pze6tWMDR3KcaBLlxirX5+xp0/5Ck14Vq3S/o8Xm759SyzmpWSkMLu5duxptrS/\nz9xcqmTVa4376VPGGjdmbO9ebsfPns3YtGllXk5NZaxGjVL2wzrIK8hjDX5twK4+ErYOW6VSMaff\nnNiNVM3lptq4dInWs4vIyGCsevWyC9wi8s47jC1YYPw4XFK6bGb6Vla0oMv7bD8mhlZEPTx4Hphf\ntmwpK+2oGTwYOHKkhCmkdtq0oaeaH37gNT7BkMssX82sWbQb+OWOGYfqDujv1h+rLqySNKyVK2m/\nGuc1bsaASZOA114jjZALwcGkMZbyc6pTh9bXuer6oXGhaF6nOVrVE9bUUK3r6yvxREWVknaOHqUX\nyjTJFQ8xSzdlk/QBgXR9EzBYe/GCpJ3hwzW/X7s2bU7dt4/jgHPmUJa4eZO3GAVjwwbSLAIDpY6E\n6NyZ+umuWVP00hS/KVh0bhFUTCVJSDk5dF/87js9Tlq+HIiPp8VprrRoQVUEx8omUX0kHiEXcEtj\niPlaZGSpRVwBu2RxJSgIOHOGvICERlZJv29fqpri1Thy1y7Z6/nh4VRUoWudmXMVD0ADffIJVWvI\nmeKzfDndlNWz/ZcL4p2dO6OaTTUcvHlQknCWLqWKUs59ZK5fB778km6o+vZ41VLFw3Ux98aTG7j0\n8BKGt9Qyg+EZdQUP00PXLzPTl1DPV1O9Ovn/hYWJcDHjVSRucL1Uy5Y8tmlLTKTWeAUFPA0oDKNH\nM7Z4se5jHj1irFatEm4BusnOpl0fJ04YHZ9grF3LWNeu/O1M4ZOePRlbvrzox6XnlrLBGwaLHkZW\nFmMNGjB2/jzHE3JyGGvXjrElBloU3L7NWJ06tIhQDK66/vTw6eyzA58Zdm0DUKlUzPF/jiz+STyn\n41+8YKxq1WL78G7doo2NevtZ8M+SJYy9+aZxY3DJs+XO9MPCwuDh4QF3d3fMmzdP4zERERHw9vaG\np6cnAo18TOdV4tm1Cxg0iBYMZMqLFyTbaJN21NSrR7M9zmseVavSbHX6dNp4IjcKC0mvmD1bXrN8\nNTNn0rrIy11Jb7Z5E6eTTuN22m1Rw1i4kGaA7dpxPOGrr0iAnzTJsAs2aUIyz8GSTzV16gDNmlF7\nQW3kFORg9cXVmNTewGsbQJGuf5ubrn/hAm2IKnoAUpdq6u1nwT+DB5PVstAV1zr/pYWFhZg6dSrC\nwsIQGxuLjRs34tq1ayWOSUtLw5QpU7B7925cuXIFW7duNSogXpO+CezCDQujDaH165d/rF4SD0Cm\n/CqVVhdFSfnnH7qT6VV/KCIBAYCzM+0fAFCtUjW84/UOFkctLudE/sjIoK0X337L8YSwMKoIWLbM\nuBvp6NEavXjK0/W3xm6FT0MfuNq7Gn5tAwhoEsDZh6eMni8DaUdNo0bk7S/YJlU1uh4DTp8+zYKC\ngop+/umnn9hPP/1U4piFCxeyGTNm8PLYwRg9zlavzthzY035nj6l51EJy7C4EBzM/Un83j1y4MzV\nxw7m+HEq2+OsC4lAQQFjLVrway8oBEeOkCPlS9fFG6k3WN2f67IX+S/KOZEfvvuO7GA4kZJCbqFH\njxp/4ZQU0hKzskq8vGMHY8XSQRm6rujKtseK72J7I/UGc/rNiZMPz1tvFVPt8vLo3/nwobAB6sH3\n32usmuUMlzyrc6afnJwMZ2fnop+dnJyQXMrgPT4+Hk+fPkWPHj3g6+uLtUZ2crK1JSsQo9u/7ttH\nUxMJy7DKIzubHufKk3bUODpS5emRI3pcpFs32oXy++8GxSgImzeTXtC7t9SR6CYwkKpZXs563eu4\no33D9th0RXPTET559oz+ZJwqWVUq6pc4fjw/VVAODjQd3ru3xMvduwOnT2uWH648uoJbz25hUPNB\nxl9fT9zs3aBiKiSmJZZ7bAn7hX//Jc2Ky2O2SKhLN4W00NKZ9Lk0PcjPz0dMTAz27duH8PBwfPfd\nd4iPN8wESQ0vEo8J7MLdv58+gPXqcT9n+HA9JR4AmDePmmY8fKjniQJQWEglpXKr2NGEhQVp+99/\nX1RSpm6nKDS//UYfX3d3Dgf/9Rc1mp49m78ANEg89vaUI8+dK3t4yLkQTPCeABsrffs2Go+FhQWn\n0s20NGoL3Eq9fUBG0o4aT0/62F2+LNw1dBpHOzo6IqnY3uCkpCQ4OTmVOMbZ2Rl169ZF1apVUbVq\nVXTv3h0XL16Eu4ZP6+xiH8rAwECti75BQcCwYXr8K0qTm0srnn/9ZcQgwrNlC1mZ68OIEYC/P7B4\nsR62325u1A915swyPWFFZ8sWctjr00faOLjSqxe5jm3aBLz5Jga4D8BH+z9CVHIU/Bz9yj/fAFJT\ngUWLdC+aFnHhAi04nz1rQKNcHbz2GvDf/1LheK1aRS+rWyh26vTq0Ky8LGy4sgEXJkvnUaQu3XzX\n+12tx5w7R8UQRXUd4eHAzz+LEyBHLCxeefG0bVv+8REREYjQ1yNDl/aTn5/PmjVrxhITE1lubi7z\n8vJisaXsDK5du8Z69erFCgoKWFZWFvP09GRXNbTBKudSJVCpSJ6M51aFVZb9+xnr3NnAk8UhK4uj\nV74GvL1JbtaLp0+pfPXyZf0vyBcFBYy1asVYWJh0MRhCeDj5zb8s/Z17Yi4bu2OsYJf79FPGPviA\nw4GZmRTXunXCBDJkCFlkFGPnTnKqKM7f0X+zIRuHCBMDR+JS45jzb846df0ffmBs+vSXP6Sm0hdQ\nrwUycThyhDFfX8PO5ZJndco71tbWWLBgAYKCgtCqVSuMGjUKLVu2REhICEJezhg9PDzQr18/tG3b\nFv7+/pg4cSJatTJu+7XR3bRMYEPWvn00Y9dH2lGjdxUPQNt6v/mGXDilYutWcpCTefeyMvTpQ08n\nW7YAAN7zeQ+hcaFIzU7l/VIpKcDffwNff83h4E8+ofUagzqjc0DDRq1u3UjXL97XdUm0eDtwteFu\n7458Vb7OktoSev6hQ7RIUamSKPHpQ9euwK1b5fTHNgbD7if6o++lNmygiYbeqFSMOToydv26ASeL\nx+uvM7ZsmWHnXrtGT0J67yfJzWXM3Z2ehMSmsJCx1q0Z27dP/Gvzwf799JTy8pc+dsdYNu/kPN4v\nM20aYx9/zOHAbdsYa9aMhzI3HWRmanwcbdeOmm0xxlhUchRz+d2FFRRKvwEyeGswWxGzQuv7jRrR\nXizGGGPjx3NoQC0db71V/oZNTXDJs9LvSNBCnz6kHerdKT46mvY0t2ghRFi8kJVFTzGGrlt4eNDE\n/exZPU+sVAn45Rea7RvSCskYtm2j0qx+/cS9Ll8EBVEl2MtHrCl+U7AoahEKVfx5hiQlAevWcXDP\nSEoCPviAbBZq8tt7tgTVqlG3llKPlWpdH6AF3Ek+k2BlKf0GSF19c5OTaanPxQVUGiPDRdziDB0q\nnMe+bJN+3brkKnjmjJ4nmsCGrH37qCy1bl3DxzBI4gHod1O3bonWgIKjUlHFjlx333LBwoIqjubM\nAVQq+Dn6oX61+tgXz9UFr3x++IF63Ds46DiosBB4+21qiOLvz9u1taKhike9Set5znNsvbZV5+Kp\nmOjamav227GwAHD1KvUOcHMTN0A9CAqi5kkZGfyPLdukDxio65tAqaamDln6ok76etfzWlhQPeDs\n2UB6unFBcGX7dtr3rlePPxkyYAD9O3bsAMBv+WZiIi15fPppOQfOnUt/w88+4+W65dKvH9UP3rtX\n9FK3bjQZW3V+Hfq69oVDdV13KfFoXqc5cgpyNOr6JfR8taumjCcgNWuS4asQ3QRlnfSDgvT0109M\npFr0jh0Fi8lYMjPp32RUSSqonMva2rDepfDxoV+uPra7hqKe5ZtCXX55qOv2X872R3mOQsyDGMQ/\nMW5fCkBDTplCe9a0cuYM8Oef1EJLLD+pypXpw7p5c9FLtWsDbu4Mf56SfgG3OLr65pZojyhzaUeN\nUG0UZZ30O3UCEhKAx485nhAaKnuDtb176Q6u88vNAQsLIyQegLSEkBDgzh3jAimPnTtpLWHgQGGv\nIxbqz1doKKpYV8H4duOx+Jxxfjw3blA/hf/+V8dBz59TlU5ICFBqr4zgaKjiad7rNNKz8hDoEihu\nLOWgKemrVFSj7+cHcjg8fVq+nk/FGDKEpGC+l99knfRtbEg/PMjVxtxEpB19N2Rpw2CJByBPh6lT\nyZVRKFQqcgszh1m+muKzfcbwvu/7WH1xNbLzsw0ecvZskujt7LQcwBjw4Yc87Fo0kJ49aXKQkFD0\n0qPGS1D71vucdu2LSUCTgDKdtBISaH9Z/fqgnsHt2pXYcCZXnJxo4fnkSX7HlXXSB/SwZHj6lCp3\nZOznkplJ5cF8fW/9/GjiEhtr4ACffkorcpGR/ARUmtBQ0qAGie/HIihDh1Ii3r0bTWs3RRfnLthw\neYNBQ125Ahw+DEybpuOgdeto5+3//mdYvMZibU0zlU3kOZSanYqYzN24v2+s/tV1AuNR1wPZ+dkl\ndP0STVNk0CVLH4YO5b+NouyTft++9Hcqdza7dy/NSGxtRYnLEPbsoc739vb8jGdhYaAXj5rq1cnT\n/pNP+Hd4Ysx8tPzSqGf7334LMIYpflOwIHKBXt2b1MyaRffeGjW0HJCQQH+fjRul/WwHBxdV8ay+\nsBpDPYagRWN7REVJF5ImNPnrl7BTNhE9X426dJPPr6fsk76rK5ULl2tAZAK7cPmo2imNUbo+AIwd\nS48gRg2igV27KDkOHszvuHJh2DCym9y7F31c+yArPwunk07rNURMDK3NfvihlgPy86knwowZ3IxY\nhKRzZyA9HapLFxESHYL3fd/n3EJRbEpLPEUz/Xv3aMtz+/bSBacnbdtSla7BT/MakH3SBzhIPLm5\nJPzLWEbIyKDHeL7vS507U8FSMblVP6ysSDb4/HP6PfIBYzQLnjnT/Gb5aiwtKRnPmQNLWOBD3w/1\nLt+cOZNa2WqdwM+cST4dH31kfLzGYmkJjBqFO0t+RhXrKujk1EmvZuliUnwxNz8fuHiRCtZw4ADJ\nvzIu9ChNcQM2vjCPpH/kCHmSGmJkIxK7d5OnRu3a/I5rZUWGiEZN1Hv1Ir/ZBQv4CWr3bkr8Mn/y\nMpoRI6gpQlgYxrUbh/0J+/Ewk5t99dmzwKVLOroaHjkCrFkDrFwpnxvn6NGouj0U77efDAsLC3Tr\nRpb0fM0V+KJl3ZbIzMvE3ed3ceUKdY+sUQMmJ+2oqZBJPzCQPlxZWVoOMIGqnS1b+Jd21Bgt8QBk\nzzB3Lvn6GkNFmOWrUc/2v/0WtavYYWTLkVgWs4zTqTNmkP9d5coa3kxNJdlt5UpZNfh44NYAmYUv\n8E4eGSra2ZHbiZx1/SI9v7CQqihMxdK7GAEBVNb74AE/45lE0q9Zkx7Pjh/X8KZKJXs9Pz2dJm5C\nhRgQQK58d+8aMYiHBzBqlB4NWbWwZw8VFsv478ErI0fSH/jAAUzpMAUh0SEoUOkurD52jP5e48dr\neJMxYMIE+lvIrMpkxYWVuNa7Hapve1VOImddP+J2xCs9PzqauqCJvceBB2xsaGP07t38jGcSSR/Q\nIfGcO0c1t82bix4TV3bvJhdXrXXYRmJjQ4+A27cbOdCsWbQJ5/p1w84vPsu3NJmPlnFYWdGU/dtv\n0c7BC41rNcauOO01dozRLH/mTC09T5YsIUO1H38ULmYDKFQVYmnMUjR7/0uqSHjZSUzWuv6diFcz\nfROVdtTwWbppMt9MrUnfBKQdPjdkaYMXiadePfJ0MdTXZd8+skV97TUjAzExRo2ifSKHD2Oq31Sd\nC7qHDgGPHmmxwL96le4GGzbIzuc9LCEMDtUc0DpgJH1OTpwAQD48kZHy0/Vb1WuF9JwMxD9KosIn\nE0/6/fuT0pGZycNg+js2G4axlyosZKxuXcbu3Cn1RuvWjJ0+bdTYQpKWxliNGow9eybsdXJyGLOz\nY+zBAyMHevGCsaZNGTt8WL/zVCpq97Nli5EBmChr1zLWtSvLzc9hDX5twK4+Kts9TqVizN+fsY0b\nNZz/4gVjbdowtny58LEawKANg9jymJex/fQTY5MnF73n68vY8eMSBaaDgIUjWLNha+lLWL06Y9nZ\nUodkFL17M7Z9u+5juORZk5npW1rSGkwJA7abN2nRSwyLWQPZvZsegYWSdtRUrkwmkC8NIA2nShVq\npD59etEjPCf27wdycmi3WEUkOBh4+BCVjp/CBO8JWBS1qMwhe/dSMYLGBf3PPqN1FY1Cv7TcSbuD\n00mnMar1KHohOJgeK/PzAchX4rFPD0QVjwhaUOvcGahaVeqQjIIvj32TSfqABoln1y7a/CNj/ViI\nDVna4EXiAWhx0taWSga5UBG1/NJYWxdp+5N9J2PD5Q3IyH1lhq5SvbLsKfMr2rOHPstLl8qy4unv\nmL/xVpu3UK1SNXrBxQVwdyetCvJdzM2+FojU6hEmL+2oGTyYJg5GG7Dx9ORRLnxc6v59xmrXZiw/\n/+ULAQGM7d5t9LhC8ewZdZsTsqNdcdTN1lNTeRjszBnqL5eZWf6x+/eTzKZ3/0YzIz+fMVdXxo4e\nZcM3DWcLIxcWvbV1K2M+PiTxlOD+fcYcHBg7cULcWDmSV5DHGv7akF15eKXkG3/8wdjbbzPGSD2p\nVo0UKjnRtFkhs/vBnuU3dmbsypXyTzAB2rXTLaVxybMmNS1r2BBwdn5ZF/zkCXD+PG0skim7dtEs\nSMiOdsWxtSUJjJeNHB07Ui3oL7/oPo4xsomcMaPizvLVWFtTR/M5c4oarDDGUFhIhVHffVdqIq9S\nAe+8A7z/Pu3ckyG74nbBzd4Nreu3LvnGG2+QdvniBWrVor19Qvn2GUJqKvAk1RJvVm2PvJxMCtAM\n4GOjlsl9S4u6aakN1mSs0wm5IUsbvEk8APDTT8Bff1GDUW0cOEAeEyNH8nRRE2fMGOD2bfRIsgZj\nDMfuHMPmzbQjtEzjsN9+I5vUb76RJFQuLIlegvd9NTRKadCANs/so3aRctP1o6IAX1/gjeRaiGlT\nT5aymSHwYcBmckm/qJuWzEs109KoxEpsv7GBA6ma7vlzHgZr0oR8ArQlJbWWP2OGSfmZCIqNDfD1\n17AoNtv/6y/y2CmRd6KjgZ9/BtavpycEGRL/JB4XUy5iRMsRmg8YPbqouYock76fH+B96RG2OPPx\nZZAH3t5UL2HoVhrABJN+165A/OUcsIOHZG2wFhpKDyJiSTtqatakjWB79vA04JdfUmXO+fNl3zt4\nEHj2TPhNCKbG228DCQkYl+WOAwmHcfNRMgYMKPZ+ZiYlzAUL6MYqU5ZGL8W4duNQ2VqTVwSoUuvA\nASA9HV27kryTkyNujNqIjAT8vfNQ498L2Nc4D8npOp5WTQi1AZsxG7VMLulXqQJ82OIwUp28gLp1\npQ5HK2JW7ZSGV4mnZk3S7KdPL/lMqczytVOpEvDVV6j2069omjkabqNDSk7mp02j2YtUHxAO5BTk\nYNXFVZjUXpsjHKgxRPfuQGgoatYEWrcmjyypYYxm+l1wChYeHmjTKrBMNy1TxtjSTZNL+gAw0iYU\nR2vIV9p59owkFqkeRIYMoWo6rQZ1+jJhAvk3Fzf/OHyYFtNHjeLpImbGuHFgcXFwWNcZ8dWXIa/w\nZYupTZuo/92ff0obXzlsi90G7wbecLN3031gsf65cpF47t6lmoJ6MeFA375am6WbKgEB5K//kJuh\naxlML+mrVGiZsBsLkoby3uyJL0JDybZbazckgalTh/ar7d/P04DW1sCvv1KLp/x8ZZbPhUqVcKHf\nl5iTsQ6tG3jgy0NfIjX2HHnjb9xIXctkjNYF3NIMHUo3sSdPZJP01Xq+xcEDQFCQxr65pkzlyrS2\naaiEa3pJPzISVvXtcdvaDXFxUgejGSmlHTW8SjwA2fy5uJAh2JEjZCATHMzjBcyP2XfGw9PiCtY0\nmornWU+QMKAj1vVrhKP26Qa1VhSLK4+u4ObTmxjcnEMVQvXqlIG2bUOXLpRwpdb1IyOBHq0eAomJ\ngL8/2ji0QWp2Ku5n3Jc2MB4xRuIxvaS/axcshg7l3jBdZJ4+BU6dkn6NediwV84IvGBhQbP9774D\nvvpKmeWXQ3IycCKyMmy++QLOv6/A35dc0N6tO559MB4f7f8IHgs98L/T/8OT7CdSh1qGkHMhmOAz\nATZWmmxANTB6NLBxY5Guf/assPGVR1QU0JsdBHr0AGxsYGlhie5Nupfom2vq9O9PT1XZ2fqfa3pJ\n/2WpZlG9vszYuZOkHamf3hs0oP6aBw/yOGibNnQ3efZMmeWXw+rV9LRX6YP3qF/fkiWwWbseH3X6\nDy5/cBkrhqzAxYcX4fqnK8ZsH4MTd07IYvaflZeF9ZfXY4LPBO4n9e8PXLgA3L+PHj2klXgKC6ka\ntnliSeuFwCbmtZhbuzZJWIZ8v00r6Sck0FTazw+9e5OUKDdLVzlIO2p4l3gAYP58+qTJtLZcDqhU\nwIoVwLvvgsrNli2jnXoNGwKgzk5dGnfBmtfW4NZ/bsG3kS8m7p4Iz8We+OPsH3j24plksf9z5R90\nbdwVjWs15n5SlSqkN2zeLLmuHxcHNKivQuXjB0s0oQlwCTCrxVzAiNJNniwhyoWXS/36K2MTJxb9\n2LEjY4cOGT8sX6SmkvdNRobUkRB37zJmb89YXp7UkVQsjh5lzNNTg8+ODlQqFYtIjGCjt45mdnPt\n2NgdY9npu6eZSp9BeMB3qS/be2Ov/ieGhTHm78/S06X14Vm5krEv+p1nzN29xOuFqkJWe25tdj/9\nvjSBCcCtW4zVr89YQcGr17jkWdOa6ZfahSs3XX/nTppcSC3tqHF2Btzc5FFRUZFYvhx47z39dv5b\nWFggwCUAG0ZswI2pN+BZ3xPv7HwHXku8sDByIZ7nCL+r9Nz9c3ic9RhBrgY4UvbsCdy6hRqPb8HT\nEzhzhv/4uBAVBQy0LuuqWaTrm5HE07Qp4OCg/xqK6ST91FTSRosZrMkt6ctJ2lEjiMSjoJW0NNrO\nMGaM4WPUq1YP/9f5/xA3NQ7zg+bj2J1jcPnDBe+Fvoeo5CjBtP+QcyGY1H4SrCwNWKC3sSH/pU2b\nJJV4IiMBz/uarZQDmgSY1WIuYGAbReEePkpi9KVWrmRs+PASL+XnU7eo+zJ4Ynv8mKQdLk7EYpKQ\nQM69xR8BFYRj0SLGXn+d/3FTMlLYTyd+Yk1/b8q8l3izJVFLWHpOOm/jp71IY3Zz7diDDCNarx07\nxlibNiwsjLHu3XkLjTM5OYzVq5rBVNWra9RYY+7HMI8FHuIHJiBRUYy1aPHqZy551nRm+hoM1qyt\naeLPa4WKgezYQZOLatWkjqQkrq5UyXPqlNSRVAzU0g7fOFR3wBddv0DCtATM7T0X4TfD0fj3xnh/\nz/s4/0CDL5KerLu0Dn2a9UGD6g0MH6RrV+DpU3Szv4roaDIQFZOLF4FRDY7BwtdXo8ba1qEtUjJT\nkJKZIm5gAuLjQya3+uxZMo2k/+IFbQgaOLDMW3KReKSwUeaKIvGIw8WLtGetd2/hrmFpYYm+rn2x\nfdR2XP3wKpxqOmHYpmHosKwDlscsR1ae/t4bjDHuO3B1BmcJjBoF213/oE0b8ev1o6KAYbbau2RZ\nWVqhW+NuOH7nuLiBCYilpf5VPKaR9A8fJk/ROnXKvNW3L830VSoJ4nrJ48dkNFXCSVFGjBgBbN8u\n7e+oIrBiBTBunHh71hrVaIRvun+DW9NuYXbgbITGhcJ5vjOm7J2CSw8vcR7ndNJp5BXmoYdLD+OD\nerlRKzCAid5CMTISaJ+quzWiufnwAAIk/bCwMHh4eMDd3R3z5s3TelxUVBSsra2xfft27lfnig7v\n/NSvfJEAACAASURBVCZNyOxPk/OvWOzYQftTbG2li0EXrVrR025UlNSRmC+5ucCGDdL0NbeytMIA\n9wHYNXoXLr5/EfWq1cOA9QPQeXlnrL6wGi/ydessIdEhmNx+Miz4aDTSvj0AYKhTtOiLucmnbqNa\nfhrg5aX1GHNM+j17Apcv0+STCzqTfmFhIaZOnYqwsDDExsZi48aNuHbtmsbjPv/8c/Tr14//ygKV\nisohhgzRekhRYxWJ2LxZ/pbyisQjLDt3Uq5p2lTaOJxrOWN24Gzc/vg2vuj6BTbHbobzfGf8Z/9/\nEPs4tszxT7KfYFfcLoz1GstPABYWwOjR8InbiJgYw2wCDCE9HWiVFA6roD4623Z6OXjhQeYDPMw0\n0KJShlSuTJLi3r3cjteZ9CMjI+Hm5gYXFxfY2NggODgYoRpcfv766y+MHDkS9erVMyhonfz7L/nm\nu7pqPURKXf/RI5pBl2mFJzPUSV8GO/3NEqEWcA3F2tIaQ1oMwd439+LcpHOoUbkGeq/pje4ru2P9\npfXIKSBTptUXV2NIiyGoY1tWOjWY0aNRaccmeLVRiabrR0cDw2scgGV/3XsMrCyt0LVxV7PS9QH9\nDNh0Jv3k5GQ4OzsX/ezk5ITkUv1Sk5OTERoaig8++AAA+HlELA6HtogBAfRHz8jg99Jc2LGDtHy5\nSjtq2rWjhH/xotSRmB937gAxMcBrr0kdiWZc7Fzwfc/vcefjO/i448dYc2kNnOc7Y3r4dCyKWmT8\nAm5pWrUC7O0x1vWkaLp+1JkCdMg8UsJ6QRuBTcxP4hk4kGpduKAz6XNJ4B9//DHmzp0LCwsLMMb4\nl3c4JP1q1cg/XuyFI0CeG7I0YWGhSDxCsXIlrV9WqSJ1JLqxsbLB8JbDET4mHGffOwsbKxu0b9Qe\nnZw68X+x0aPR//k/oun6zw/8i9wGLrRFtRwCXQIRcSdC8JjExN6eu7yj0zXL0dERSUlJRT8nJSXB\nycmpxDHR0dEIfum4mJqaiv3798PGxgZDNGjws2fPLvrvwMBABAYG6o7uxg3q8O3rW84/g27wBw7o\nlP555+FDesLo10+8axrDiBFkAvbdd1JHYj4UFlLSN6Z9nRS42rtibu+5wl1g1Cg4/dYRl7P/QHa2\njeBPwvXOhwOjyp/lA0C7Bu2QnJ6MR1mPUL9afWEDE5iIiAhE6Htn1bVzKz8/nzVr1owlJiay3Nxc\n5uXlxWJjY7UeP27cOLZt2zaN75VzKc38/DNjkydzOvTCBcbc3PS/hDEsWsTY6NHiXtMYCgsZc3Rk\nTMefUEFPDhxgzMdH6ihkir8/+7hlmOCmiA8eMBZl5c9Uhw5zPmfg+oFsy9UtAkYlDVzyrE55x9ra\nGgsWLEBQUBBatWqFUaNGoWXLlggJCUFISIjBdyfOcJB21LRtC2RmArduCRxTMUxF2lFjaQkMH65I\nPHyyfPlLC2WFsgQH423rjYJLPBeOPEVLxMKiaxfO55hj6SZXLF7eHYS/0EvNnzOPHwPu7qShVK7M\n6ZSxY4GOHYGXa8qCkpICtGwJPHggfy23OMeOAR9/LO2+BnPhyRMqKktMpKYWCqW4fx/5LVojqM0D\nHDkt3Jdk04jNaHdpDVrEc28aG5UchfGh43HlwyuCxSUFXPKsfHfk7tkD9OnDOeEDELWb1vbttGJu\nSgkfIHuU+/fFfSIyV9avp8+AkvC10KgRLL3bwSFmP7L0d4fgjN2/4cjroZ8dtHdDbySlJ+FxFscd\nTWaEfJN+aKjeq7J9+pCla36+MCEVxxQ2ZGnCyooUM0XiMQ7G5FebL0esxozGhOr/COavz1QMbe6H\nw+Ftbou4aqwtrc2yXp8L8kz62dlaDdZ0Ub8+PW4LvSHkwQOqd9dh8SFrlNJN41HvCymvAK3CM2IE\numSG4fSBTEGGTzpwDYWW1qjftbne55pjvT4X5Jn0Dx0iDw97e71PFWN37rZtwKBBpiftqOnRg6ph\n792TOhLTRb2Aq2PHvwIA1KmDTK+uYKGGNHMtn9T14bjmHKRfm7KXBLgEmFUnLa7I8yOrR9VOacTQ\n9eVso8yFSpWAwYNpXUJBf7KzgU2byFFToXxqTBoNv5sbBdH1bU+EI6urYY/cPg19cOf5HaRmp/Ic\nlbyRX9IvLKRFXAOTfufONItNFejveP8+Odpx2O0taxSJx3C2b6cd4KX2KSpoofIbQ9EdxxEZ9pTf\ngV+8QOOkU6jzek+DTre2tEYX5y4VTteXX9I/e5a2UhtoV1ipEnnxHDrEc1wvUUs7ehQVyZK+fWld\n4qH5mA2KhrKAqyc1auB2875IW8Hvo2XhsZO4iLbwCrAzeAxz7JtbHvJL+kZIO2qE1PVNbUOWNqpU\nIfuInTuljsS0uHkTuHpVXLsPc0D1ejCcT23kdcw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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### fig.add_axis([left, bottom, width, height]) (range 0 to 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### figsize is too small, lets increase the size to 10,4\n", "##### notice the **plt.figure(figsize=(10,4))**" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(10,4))\n", "axes = fig.add_axes([0.1, 0.1, 0.8, 0.8]) \n", "axes.plot(a);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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yEhP/c5qy61Tlz5+545TRtWLFeMtQR9wJvIO1Lmtx1vssvmvwHeqXqY+g4GcY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\nj37fr1//8hP791M9WHT0m3vl3bpR87sRI/D4MZ3IvHkTKFdO01GrRkx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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####That's nice. What about title? Lets add that." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(10,4))\n", "axes = fig.add_axes([0.1, 0.1, 0.8, 0.8]) \n", "axes.plot(a);\n", "axes.set_title(\"Our First Plot\");" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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CY2phkpgYntF79ADmpq9MfsDtAOY7z8f9sfeNL4powNjaAr/9xk5VRuoTqlRA\nxYqAgwPw7bfy2acrIuMjYbXVCmvbr9VIH+958HN8v+d7vJ762mDm0SdPOKLp45NO9DM8HKhQAbh7\nF7C0lM2e27eB3r05+GYI291654wREVavBu7d43IKAsNBTWo4eTphzc01eBb8DJMaTcKYb8egSN4i\nSpsmCQmqBPhF+CVFtT6PbH36d7wqHmULfXSwClp89e8yBctkbVHdP/4A/voLuHEj/arQfn68lfnn\nn+yUpYPNERuY5jHFn53+lMhYgTZcu8YPw8uXeUcqo6xYAbx4Afz9t/S26ZqfTv+EyIRI7OmhuWxF\nm3/aYHT90RhQK/NiqLrkt994DbVmTToN16zhB7ydnew2devGuYqTJ8s+lNbopTMWHg6UL8+Oc/ny\nuhhZIDWuAa5Y67IWJ9xPwKa2DaY2mYpKRSp93ZCIv8Ghobx0VqhmKREhODo4RQfr07+DooJQMn/J\nFKNan5wu0zymYps2Nc6dA4YNY0dM0y/27dtc/ffixXRr1YXFhqHu1rrY1mUbOlTqIIHBgszi6clJ\n+Hv3Zj7/NygIqFKF+5IhrUhnXHx1EcOPD8fj8Y8zpP3n8NQBG25twNURV2W0ThqIgEqVgIMH04lk\nxsdzVOzkSaBePdntevgQ6NSJ76Fv9DxgrpfOGADMmcNbyhs36mJkgdYkJLBDFRLCf3/89wd/b9x1\nOwfPV3dQxaQY6uSyQJFYE5h8ahcSAmTPzt8UKytWgpQhphwVH5XkWCVFtsL/+7dvuC/y5sybZlSr\nVIFS4sReZnF3B1q0AA4fBlq2zNh77eyAX39lx6xY2qd3L3tdxuCjg/Fo3CMU/caAn+AGTEgIpwPO\nmAGMGaNdX0OHsg8+c6Y0tumaD7EfUGdrHWzvsh3tK7XP0HsTVAmw3GCJszZnUbtEbZkslIbbt/9L\nmE9zLbpnD+9dnzunM9v69OHD2vp+D+mtM/b2LVCrFoepzYw0j1nvUKuBDx+SO1VfOFepXouNBUxN\n//tTpEiyv+MK5se/EW446H8B6sKF0PO7kWjboD9ymhVn50ulAgYOZKfu0KEMRcgS1Ynwj/D/Kpr1\neVQrOiE6RQfrU2TLoqAF8uXKJ+MvNwsTGsrbjbNnc2XozDB3LvDvv1xIOJ3jUTOcZuD1h9c41PeQ\niFLqmE9nMxo2BFat0r6/W7eAQYM478cQ6g1+yY/Hf0SObDmwreu2TL1/ofNCBEYFYnPnzRJbJi3T\npgEFC/IaCXg0AAAgAElEQVRhjVRRq9mz1rFcwpMnLHXh6Zl+ZoSS6K0zBgCjRgFly8oiQ2K8EHFI\nURMH6svXwsOB/Pm/cqRScq6+upY/v0bicGpS49SLU1hzcw28Qr0wufFkjK4/GoXyFOKZvFs33q7c\ntQvIlg1EhJCYkDSjWgGRASier3jSdmFKTpfZN2biwawEiYlAx45A7drA2rWZ70et5pIpxYoB27en\nea/FJsai4V8N8fN3P2No3aGZH1OQIYiA4cOBiAgOgErhPBGxY7doEW83GRKnX5zGxDMT8WjcIxTI\nnTkv4G3EW9TaXAveU71RMHdBiS2UBpWK5cIuXQKqpaVwdPo0J5YpICQ6aBAHdzQ4C6QYeu2MPX/O\nB6q8vPR/v1dy4uL+c5oy6lTlzJm245TatcKFectQR9x9exfrXNbhjMcZDKs7DHVK1EFA4Ev0mb4D\nbha5MLfrN/AJf4Nc2XOlGdUyL2COnNnTUxgUKMKkSbwkPXlS+3zAiAjgu+9YLDKdjFzXAFf8sPcH\n3Bl9x/hPqOoJixfzKfgrV6Sdr3ftYufu9Gnp+pSbkJgQ1NlSB/t67YO1pbVWffU71A/WltaY0HCC\nNMZJzKVLvCX94EE6DVu1Yp2JgQN1YtfnuLtzDqOnJ1CokM6H1wi9dsYAPkTVrh0wQT/vQ+nYvp1P\njX1yqhISNI9Kffla7txKf5oM8ebDG2y6swlvI96iXKFyqJitKHpN2IjYzu2RZ8kKvV0RCtJh61Zg\nwwbWNZBqBvTy4oSkf/7hiSENVl1fhZMvTuLysMvInk13i4ysiL095/m6uAClSknbd0wM75DcusW5\n34aAzREbmOU1w4aOG7Tuy9nbGT85/gS38W56Gd0fPZoPWvz8cxqNXFyAAQPYG1LokNbw4ayksWCB\nIsOniybOmE5rU37J9etEFSoYXp2pDBEczNVxL1/mGn0REVzxNCsTEEBUuTLRunVKWyLIDJcucd25\nFy+k7/vKFe7b3T3NZomqRGq5qyX9/u/v0tsgSOLff4mKFePSonIxcyb/MQQcnjpQ5T8qU1S8NDUX\n1Wo1Vf+zOjl7OUvSn5TExREVKUL0+nU6DXv1IvrjD53YlBovX/Jj9v17Rc1IFU1cLUWdMSKiZs2I\nDhzQlRUKMHs20ZgxSluhf7x+TVS2LNHffyttiSAjeHoSlShBdOGCfGNs305UpQpRaGiazbxDvcls\npRk98H8gny1ZGE9PopIlic6elXecly+5hnx0tLzjaEtgZCCVXF2Srvtcl7Tfjbc2Ur9D/STtUwpO\nnCBq3jydRu7u7K1HRurEprQYPZrol1+UtiJlDMIZO36c6NtvjTRYFBDASwsfH6Ut0U+eP+fZ3sFB\naUsEmvDhA1H16kSbNsk/1qRJRO3bpxs23/NwD9XcVJNiEmLktykLERJCVLUq0ZYtuhmvUyf9Xpep\n1WrqdaAXzTo3S/K+w2LCyHSFKb0Nfyt539owYIAGX/UxY4j+9z+d2JMer1/z4/bdO6Ut+RpNnDFF\nc8YAPkhVsyawaRMfUTUqpk3j4ygy1ugyeB484Dobtraigrw+o1LxaVhLS/6yys2nk5q1avFx+VQg\nIvQ73A8WBS2wtr0WJzoFScTH81eyfn0NFNclwtGRT9bfuaPzw3gaYffYDkuvLcW9MfeQJ4f0Wonj\nT41H6QKlMa/VPMn7zgxRUUDp0pwGlqr8X0AAUKMGZ9CnoxGoKyZOZDWl1auVtiQ5ep8z9omdO3kR\nbFT4+hKZmhK91a/Vjl5y9SrvU9y4obQlgtSYMYOodWui+HjdjRkSwrmFO3em2Sw4KpjM15jThZcy\nbp1mEdRqouHDibp3J0pM1N24KhXnD7u46G5MTfEL96Piq4rTXb+7so3hGuBK5mvMKUGlHwnUdnZE\nHTqk02juXKIJE3Rij6b4+XF0TN8eu5q4WnohtWdjAzx+DLi6Km2JhCxdyiKYUh8/MkZatOATdD16\nAI8eKW2N4Et27QKOH2fB3pw6lBkxNWU9hTlzWBQ2FYp+UxQ7u+3EiOMjEBoTqjv7jJDly3kutrXV\nqRIOsmUDxo/XTdA1IxARxpwcg3HfjsO3peWral6nRB2UNy2PE+4nZBsjI9jbp6NSEREBbNsGTJ+u\nM5s0oXRprsq2fLnSlmQcxbcpP7FyJT+H9+3ThTUy4+3NRbyeP9eb8K1BcPAgb+06OwOVKyttjQAA\nrl8HevZkganq1ZWx4exZYMQIPkJfrlyqzSY5TkJIbAhse9nq0Djj4cABYNYs4OZNfqjpmpAQoGJF\nrsyiL9Pm3w/+xsbbG3Fr1C3kyp52dQhtsX9sj50PduLC0AuyjpMeISFcXvbNG1beT5F16/j7eOCA\nTm3ThHfveKpydQXKlFHaGkaTbUq9iIwBwNixwJkzwOvXSlsiAYsX8zJPX2YUQ6FfPxaKadcO8PVV\n2hrB69dc/G3PHuUcMQDo0IG9hG7dgMjIVJv93vZ33Pe/j/1u+3VonHFw8yZr+J48qYwjBrCcYs+e\nwI4dyoz/JT4ffDD7wmz80+Mf2R0xAOhVvRfc3rnhefBz2cdKCwcHTt9N1RFLSGBnLE3xMeUoXpz1\n0ZYuVdqSjKE3kTGA59v4eGD9el1YJBMeHixc6eHB2yyCjLNqFfD338DVq8KhVYrISKBZM1ZTnDZN\naWu4ds6PPwJhYWnW47n79i462XbC/bH3UaagniyL9ZxXr/i/eudO5csS3bvHlbFevdLtNumXqEmN\n9vvao7Vla/zS4hedjfvrxV8RlRCF9R2Uewi2bg389BPQu3cqDfbuBXbvBi5e1KVZGeL9e6BqVeDu\nXT5zpDR6r8D/JX5+XObOwwMoWlQXVsnA4MF8F8zTj1MxBsuvvwJOTlyPI9UlmkAW1GqeiYsU4TCF\nvhxvi4vjJ0Xr1hx9ToUlV5fA2dsZ54acQzYTvQn+6yWhoVyFauJEfgDrA02aAL/8AnTvrpwNm+9s\nxh7XPbg+8jpyZNOdqrzPBx/U21YPPlN9kC9XPp2N+4m3b1nd4O1bIG/eFBoQcUHw1av5yK0eM28e\nf46dO5W2xMC2KQHA3JxzuLdsUdqSTPL0KXDuHDBlitKW6BU3bwJubhl805IlQOPGQNeuXDNFoDvm\nzeOl5ZYt+uOIAVwK7MgRXpmnkasyp/kcRCdEY+OtjTo0zvCIj+dd6PbtZXTEiLgc3OXLGr/lp5+U\nTeR/GfIS/7v8P+zpsUenjhgAlC1UFi3KtoDdYzudjvuJgwfZCU7REQM4fzNbtnTLlekD06fz+R9P\nT6Ut0RB5DnJ+jaZDPXnCAt/6rsacIn36EP0uyrN8TlQUkbk5C/uqVBl8s0pFNGgQUefOupVUyMrY\n2hJZWuqncuInHjxgKZQ7d1Jt4vnek8xWmpFboJsODTMc1GqikSOJunaVUcIiLo5o1Cii8uX5ntJw\nUo+JYVH3dCpiyUKiKpFa/N2C1t5Yq/vBP+Lk6URWW61IrYASeqNG6VRcsLYm2rdPZ/Zoy6JFRIMH\nK22FAUlbfE6NGkDDhpwzbFA8fMjH7/Ul1q8nrF3L2w4mJrzqyhDZsnFugokJn1dWqeQwUfCJ27c5\nqnvihH7n6llZ8bH6nj0Bf/8Um1QsUhHL2yzH4KODEa+K17GB+s/vv7Pesp2dTLlZwcEcPXn3jo+1\n1a/Pk4EG5MnD6YGbN8tgVzpsuMXFv6c0UW5344cKPyAyPhIuvi46HdfTE/DyAtq0SaXB7duczNev\nn07t0oYpUzjb5dkzpS3RAB04hUSkeWSMiDVAK1bUreig1nTtSrR+vdJW6BX+/izA5+lJdPEiizrG\nxWWio+hoolatiMaNM9K6WXrAmzccwjx+XGlLNGfRIl7Kx6RcCkmtVlM3+2405/wcHRum3xw8SGRh\nwbrUsvDkCX/ZZ8/+bxJ/+ZInAw0H9fbm5rosefgs6BkV/b0oeb731N2gqbDmxhoafES3IZ3Fi9PR\ncO3TxyCfcStWEPVTuPSnJv6PXjpjajVRkyZEhw7JaJCU3LpFVKZMqg+FrMqYMUTTp//3c/v2RBs3\nZrKzDx+IGjQgmiMerJITFcX7yMuXK21JxlCreZYdPDhVJz0wMpBKrS5FV72v6tg4/eTmTd4CfCBX\nbXVHRx5gz56vr/3yC9GQIRp31a0b0bZtEtqWBgmqBGr0VyPadFsHdVc1ICQ6hAqvKEzvInWTLqBW\nE9WoQfTvv6k08PDg1ICICJ3YIyWRkVwC2dVVORsM1hkjIjpyhKhhQwMJhLRrp7uKugbC48c8J4eE\n/Pfaw4ecD/jhQyY7DQriGUPk5UmHBg6NXhMVRVS/fpr3xInnJ8hyvSV9iM3sjWcceHkRlSpFdOqU\nDJ2r1URr1/IA16+n3CY8nKh0afYINcDJiahOHd3clkuvLqUf/vmBVOqMJrbKx8hjI2n5Nd0skFxd\nicqWTSOvd/x4ot9+04ktcrB2LVGPHsqNb9DOWGIiUZUqRM7OMhkkFVevcnJqpvbfjJcOHVKOaA8e\nTPS//2nRsa8v/751tWQ2dhYuJGrc2LCjum/e8EP+xIlUm4w+MZqGHxuuQ6P0i9BQXsf88YcMncfF\nEf34I3tO3t5pt929m+83DU7zqFT8DLh2TSI7U8E1wJXMVprR67DX8g6UQe763aVy68pRokr+fJ05\nc4hmzUrlYmAg11kODJTdDrmIjuYsjLvylRdNE4N2xoiItm8n6tRJBmOkQq3mXKa//1baEr3CyYmo\nUqWU/VMvL84F8ffXYgAPD3742ttr0YmADh3i5CGt/jP0hE/7b24pn56MiIugihsqksNTBx0bpjzx\n8UQ//EA0aZIMnQcFEbVsyZXFNdnCUql4y+OffzTqfv16ogEDtLQxDeIS48hqqxXtvJ92MXqlaPRX\nIzrpflLWMdRqonLl0ti6njeP83UNnD//VM6fMHhnLCaG93ofPZLBICm4cIGocmWihASlLdEbEhOJ\natfmbebUmDo1nURRTXj0iKh4caLTp7XsKIty/z7ngNy7p7Ql0vHPP5w4HhSU4uUbPjeoxKoS9Db8\nrY4NUw61mmj0aFaHkfxAlJsb/77nzMmYbs2NGxym0MB5Cw0lKlxYvvXC/y79jzrbdlZERkITdj/Y\nTR33dZR1jOvXiapVS2U7OCKC5wkPD1lt0AWxsbwVe+OG7sc2eGeMiGjZMqKhQyU2Rgo+nTKwtVXa\nEr3ir7+IWrRIO88jKIioaFGiFy+0HOxTNOTKFS07ymL4+3NE7OBBpS2RnlmzWAspFV26eZfmUcd9\nHfX24Ss1K1cS1a3L6VqScuoUf/c0jHB9hY0N0a+/atR0zBg+OCs1d/zuUPFVxfXaOY+OjyazlWay\nnvCcODGN3++GDXyK0kjYvp2jxLrGKJyxkBDervbxkdggbTl9mqhmTQPT35CXiAjO301DizOJpUuJ\n+vaVYNALF/ihYEwRHjmJieFFxIIFSlsiD4mJHAZKZVslPjGeGmxvQJtvb9axYbrHwYEPeb95I2Gn\najXRmjX8RdcmxPDmDecrvHqVblNXVw6kSbkBEZMQQzU21SDbR/q/mP753M/087mfZek7IYEPVaUY\n+IqP5/3L27dlGVsJ4uM5mKvr9btROGNELI/wuUSC4qjVfILr8GGlLdEr5s3jBa8mREZy2tetWxIM\nfOQI72c/eyZBZ0aMWs0nKPr2zUQ5BAPiwwfOVt+UskzB86DnVPT3ouQerIDEu464dUuGNUpcHMv2\n162bfqK+JixapHHUpXlzaafbWedmUe8DvQ0iQvqpmkR0vPRlac6dY8WgFLG15SizkbF7N6c56vK/\n3micMR8fjo59LpOgKEeOEFlZGfcDLYN8Wui+zsCBpO3b+bsuyZdi927eepPiIWGsrFjBi4ioKKUt\nkR9PT84pvHAhxct/3vqTGm5vSPGJxldmy9ubA1eS6ve+e8f5Bz16SKc1FR3NSTwaHJm3tyf6/ntp\nhr3uc51Kri6pMw0vKei4ryPtfrBb8n6HD+dA51eo1ex0OzpKPqbSJCTwKd3z53U3ptE4Y0ScN7Zs\nmUTGaINKRVSrFtFJeU+4GBrDhrGmY0ZISCCqWlXC7/uGDXygIiBAog6NiOPHORQp6Z6VnnPpEjtk\nKezBqNVqar+3Pc2/PF/3dslIWBhnT0gqlP74MdeX/OUX6RegBw7wQz+ddI+4OA5+P3mi3XBR8VFU\n+Y/KBneq9qT7SWr0VyNJ+4yJ4SBHikURnJz4OWcAkcPMYGfH2Rq6+nhG5Yw9esRfRsXlkOztWSfH\nSG/SzHD/fubFXI8c4dOXkqXeLVjAk7vehFH1gEeP+ESUi4vSluiezZuJqldnL+UL/ML9qMSqEuTy\nxjh+L/HxrD/9008STk+fEvX37pWowy9QqznipoFu4Lx5/Nm0YbLjZLJx0DCXQo9IVCVSuXXl6I6f\nBgm5GnLkSBq7kG3aZP5whgGgUvGiRVeH8Y3KGSNijZDt2yUwJrN8im+eO6egEfqFWs3bB5szmQ+t\nVhM1bSrh916tZu2Mpk11W9hOX3n3jkVy9+1T2hLlGD+eqGPHFD3+w08OU6U/KlFknGHfK2o10dix\n/DElSXRXq4lWrcqQYn6m+bSaCw1Ns5mvL0dyMnsy9NKrS2S+xpxCog1zobb82nIaeWykZP317ZuK\nD3z3Lqd8pHIi2Vg4fJirwOkiriKJM3bmzBmqWrUqVapUiVasWJFim8uXL5OVlRXVrFmTWrVqlWlj\n0sPZmX0hxQ4w7t6dvm5DFuPECQ48aPMAuHqVD+1IFvVUqTgZol07FpfJqsTF8f2a0f1jYyM+nlcM\nM2emeHnY0WE09uRYHRslLatXswC+JBIWsbFEI0ZwhDkjSaDaMGqURqe0evdO9VxGmoTHhpPleks6\n/cJwdQnfRb6jwisK0/vo91r3FR5OVLAgUXBwChf7908lkcy4UKk49fvoUfnH0toZS0xMpIoVK5KX\nlxfFx8dT3bp16enTp8nahIaGUo0aNejNx1yUoFQEF6VwxtRqokaN0hYUlY34eM6bEJpWScTHc86X\nFLXuunaV+PufkEDUqxfP3llRlFet5pNv3buLgyZE/NSpWJEXVF8QFhNGlustZVc6l4ujR1n6QRL5\nn3fv+Ohiz566LQodEMDig8+fp9ns0iU+KJvR9fCYE2MkjSopxeAjg2nNDe0nyn/+YQWYr3j5kv8f\nJBem009OnOBFjNxTpCb+Tzakwe3bt1GpUiVYWloiZ86cGDBgAI4fP56sjZ2dHXr37o0yZcoAAMzM\nzNLqUitMTIBZs4DffweIZBsmZXbtAipWBFq21PHA+sv27UCZMkCnTtr3tWwZsGIFEBamfV8AgBw5\nADs7IDwcGDtWgRtGYTZsAO7eBfbtA7Kl+TXPGhQtCpw4Afz8M3DzZrJLhfIUwp4eezDm5BgERQUp\nZGDmuHsXGD0aOH4csLDQsrPHj4FGjYBWrYDDh4H8+SWxUSNKlADmzAFmzEizmbU1/33liuZdO3k6\nwemlE9Z1WJd5+/SECQ0mYMvdLVCTWqt+7O2BQYNSuLB2LTBmDFCggFb9GwpdugC5cwMODkpbAqQ5\nS/v5+cHis294mTJl4Ofnl6yNh4cHQkJC8P3336NBgwbYu3evPJZ+pEcP4P174N9/ZR0mObGxwJIl\nwOLFOhxUv/nwAVi0CFizhp1kbalVi78YK1dq31cSuXMDR44AT5/yJJ9VHLKzZ3nFcuKEbh+o+k6N\nGryo6t0bePMm2aWW5VpiSJ0hGH1yNMhA7hMfH6B7d2DHDuDbb7Xs7ORJoHVrnueWLFHGgZ88GXB3\n5/s3FUxMgAkTgE2bNOsyLDYMo06Ows5uO1Ewd0GJDFWOJmWaIH+u/Ljw6kKm+wgOBq5fB7p1++JC\nUBAvYCdP1s5IA8LEhJ9j8+cDKpWytqT5jTPR4CmbkJCA+/fvw9HREU5OTli8eDE8PDwkM/BLsmcH\nZs6U+KGdHn/9BdSpAzRposNB9Ztly4DOnYG6daXrc+FCYNs24At/Xzvy5wccHYELF/ghY+w8fw4M\nHQocOgSUK6e0NfpH587AtGnsxURFJbu06PtF8A7zxq6HuxQyTnPCw3nxMmMGf5RMQwSsWgWMGwec\nOgXY2EhmY4bJlYsjM9OmAQkJqTYbMgS4eFGzeWLK2SnoVqUb2lRoI6GhymFiYoIJDSZg853Nme7j\n8GGgY8cU1mmbNgF9+gAlS2pnpIHRvj1gagrs36+sHTnSumhubo43n60g37x5k7Qd+QkLCwuYmZkh\nb968yJs3L1q2bAlXV1dUrlz5q/4WLFiQ9G9ra2tYf4o5Z5ChQ9mTffIEqFkzU11oTnQ0sHw5T1QC\nAIC3N6/GHz+Wtl8LC2DUKGDBAvZ/JcPUFDh3DmjRAihcGJg0ScLO9YiQEKBrV97vbd5caWv0l5kz\n+eYdPhw4cCApCpQ7R27s67UP3+/5HtaW1qhgWkFZO1MhMRHo3x9o1oz9lkwTF8db+K6ugIuLBPuc\nEtClC/Dnn8DmzcCUKSk2KVgQGDiQ0yQWLky9q+PPj+O6z3U8HPdQJmOVYVDtQZhzcQ58PvigbKGy\nGX6/vT0wffoXL0ZF8e/82jVpjDQgTEx402vcOP5e5UjTK9IMZ2dnODs7Z+xNaSWUJSQkUIUKFcjL\ny4vi4uJSTOB/9uwZtWnThhITEykqKopq1apFT1JQ5ktnqAyzZAkfmJOdVas4EVyQxIABRPPny9N3\nSAhLYn1xm0mDlxcf2d6zR4bOFSY+nqh1az2rG6bHpFGjc+2NtfTdzu8oUaV/dWfVaqIJE4jat9fy\nXEpgIFGzZjy36ZsEzJMnPAmkchiMiMjNjasMxMWlfD0oKohKrS5F115fk8lIZZlyZgrNvTA3w+/7\nVM3mq0PmGzfyoY0sjLU10d9/y9O3Jv5Pui0cHR2pSpUqVLFiRVr2UQJ/69attHXr1qQ2q1atoho1\nalCtWrVow4YNmTYmI7x/zzeVrILi4eGs4P34sYyDGBYuLiw9JOf8vWoVV12RhadPWT342DGZBlCI\nCROIOnQQheszgr8/O+dfFD1UqVXUek9rWnp1qUKGpc66dSyMnhmB5SRcXVl77rff9Pek7aRJrA+X\nBtbWRPv3p3yt36F+NP2s8S5Mngc9pxKrSlBsQsake1atIvrxxy9eTEjg+0FuPTk959o1/jWk5uBr\ngyTOmFRI7YwREU2Zkqp0kDQsWUI0cKCMAxgWajXRd98R7dwp7zgxMfyM/PdfmQa4e5dVxS9elGkA\nHbNpU6oq84J0uHePozD37yd72SfMh4qtLEb33kpZaVs7jh3jhZBW5VePH+fPa2srmV2y8P49f0dd\nXVNtcugQy+h9yf7H+6nan9VkKaytT7TZ04bsHtll6D3166dQrtXePuVfZBakXTuiz+JMkmH0zpi3\nN0fHZHkGhYbypOXuLkPnhsmhQ6zJoovgy65dvIsim76uszNP9oZeIujixVTrLwo05OBBLlj9RU1T\n20e2VP3P6nrxUL97l6ej27cz2YFaTfT77+zNGco9/+efLNabyiQQH8/6ao8e/feaf4Q/FV9VnG75\n3tKRkcrh8NSBmv/dXOP27u68KZBs/larierVE7WWP3LrFlGZMtKXXdTE/zFoAaJy5Vjjats2GTpf\nu5aTSatUkaFzwyMuDpg9m6UssmeXf7whQ1g+4+RJmQZo1YplDrp3B9zcZBpEZjw9OZN5/36gUiWl\nrTFc+vblZP6ePflG/8ig2oNQt2RdzLkwRznbwCoc3btzwnrDhpnoIC6OP9/+/cCtW0DjxlKbKA9j\nxwLv3gHHjqV4OWdOlsT6JHNBRBh7aixG1RuFRuaNdGioMnSr2g1eoV54FPhIo/b29kC/fl/M3xcv\n8v0hhVikEdCoEWBlJfEBMk2R1v9LHbmGeviQF3uSVr0JCiIqUoTo1SsJOzVs1qzh2qC65NQpVtuW\nVUDfzo6X1y9fyjiIDISFEVWrRrRli9KWGAcqFVdrGD48WSQmJDqELNZa0DlPZerRhodzNHrVqkx2\nEBjIuQW9e+tfor4mnD9PVKFCqqGKt2+JChfmr8Oeh3uozpY6Gc6jMmQWOS/SqJSXWs2lBL9KC2vb\nlrchBEncv8+HQ6KipOtTE//H4J0xIj5ZJGke06xZXHVXQERcScbMjA856RK1mqhlS6IdO2QeaMsW\nnvD9/GQeSCISEjhZ/6eflLbEuIiM5HqMq1cne/nCywtkvsZckpqAGSEhgRdAY8Zkcrve1ZWLvs6b\np7+J+prQvTvR8uWpXu7fn2jhujdUbGUxeuD/QIeGKc/b8LdUeEVhCotJO1fn3j2u5pfsPrp/nxei\ncmSsGzi9en01DWhFlnHGLl7kIIEk842/P0fFZD2maVhMmUI0bpwyY9+8yfOFlKuUFFm+nMNwKVbO\n1TOmTSNq04aTZgTS4u3Ny2JHx2QvTz0zlfoe7Etq2ZIYv2biRA5cZOq/+dgxXkHZ20tul87x8OA5\n+e3bFC9fuaKmb8a2o4XOi3RsmH7Q71A/2nhrY5ptZs4kmvulEsbAgVqEXI2bx4+JSpSQrjxrlnHG\n1Gqib7/lg0JaM2UK0eTJEnRkHLx4wXVjAwOVs6FXL6IVK3Qw0KxZRA0b6neR3B07iCpX5tNmAnn4\n918+3PGZ2F10fDTV2FSD9rru1YkJGzYQ1ayZicNJajUvLMzNORvZWJg1K1Vhya13tlHeKd/SGaes\nuThx9nKm6n9WT3WhoFJxUnoyhSYvL57YtdJIMW4GDCD6qOalNVnGGSMiOnCAT99pxZs3vALz95fE\nJmOgZ0/pbsjM8vw5L/Jl9z/Uat4T+v576Y/TSMHVq+wkPHumtCXGz99/E1WqlOymu//2PpmtNKPX\nYa9lHfrkSc6D9fLK4BtjYoiGDGH9Al9fOUxTjg8f+CjgF8dJX4W8IrOVZvS/jW7yaRPqOWq1mmps\nqkGXvS6neP3qVdamS8bkyUSzZ8tumyHz/DlPt1KoNWji/xj0acrP6dUL8PfnAqiZZulS4Mcfs1xt\nruB1EnAAACAASURBVNS4ehW4dw+YOlVZO6pW5drOy5bJPJCJCZcEKV6c62KkUR9P53h781GovXuB\natWUtsb4GTGCKyn365d0H9QrVQ8zms7AsGPDoCa1LMM+eACMHMn17S0tM/DGwEAu9B0byyVtzM1l\nsU8xChbk+XnKFK6nCUBNaow4PgKzvpuFn4fXxNWrXDw9q5FevUo7Oz50ncT79zyPZKGC4JmhalWu\n4bl+vY4G1N7n0wxdDLVpE+d6ZopXrzgqlkYJjqyESkXUoAHRvn1KW8K8fcv/PVoJXmpKXBxnTg8e\nrB+Jz+HhvLRdv15pS7IWiYl8UGLixP9eUiVS87+b0+rrEmb3fsTXl7eTDh3K4BsfPuRE/fnz9eN+\nlQuViqN+HwVrN7hsSFa2avLkFPKisggfYj+Q6QpT8gtPfggpPp53FZIJAyxalIIMvyAlPD15N1fb\nXRlN/B+jcsaiolj/MlO7OCNGcHkQARGxE9aggX7N7b/+SjRsmI4Gi4piVeqffpJReVYDEhOJunYl\nGjVKWTuyKqGhRFWrJpPl/rQ15hqQujp8RomIYO3NDOdGHj3KT9vU6gIZG9euEZUpQy9ePyCzlWb0\nIvhF0qXnzznpWlKZIwNi/KnxtOBy8lqrjo5cgjWJ6GgtHpJZk1GjtHfys5wzRkS0cGEmnH53d57Q\nQkNlscnQiI5mQfKrV5W2JDkfPvA88rnitqyEhfFKXEknfc4cdgrF8XPlePGCb7zLl5Ne2vVgF9Xe\nXFsSTatP/vaPP2bA31arOZnT3FwLWX7DRNW/P+3oWob+cPnjq2s//KA/0Xxd8yjgEZVeU5riE/87\nyDBkCB8GSWLzZi22j7Im3t68K/PuXeb7yJLOWHAwl0jKkGTUoEFEixfLZpOhsWwZJ+7rI+vX61h8\n9t071k2RUnRGU/buZXEgbWYBgTScP89hl4/iwGq1mnru70kznbQvjjtlSgaVSmJieAv922+NL1Ff\nAzYfnkNh+XKQyutrUe6jR4maNlXAKD2hxd8t6PATLnwfHc2CuEnn0RITWU/x+nXlDDRQJkzQrg52\nlnTGiIgmTcrAQRE3N1716rOcgQ4JDOQ98hcv0m+rBLGx7J98FqSQHx8fzsmRXX32M27e5GhtsvPo\nAkX54w/Wm/goBxAUFUSl15RO9RSbJmzcyDXeNQ7K+/vzvlO/fjoQ39M/3ALdyGylGYXOnsJqr1+Q\nkEBkYfFV3fcsg/1je2q9pzURccnVNm0+u3jwoASSA1kTX1/thBayrDPm5cW/OI0kVHr3Jlq5Um6T\nDIZx43ilrs/Y2hI1aqTjFKoXL1gMNMPZ1ZnAx4e1DU6ckH8sgeZ8kj7p2jWp2rLjC0cqt65cugro\nKXHqFN9SGldde/CA8wcWLMiS+YPxifFUf1t92n53OzuiFhYp5lIsXZp189PjEuOo5OqS9PTdU+rZ\n87PKNJKKcWZNpk7N/LMxyzpjRBqKC8tRhMqAefJER3peWqJSEVlZER0+rOOBHz7kKOrZs/KNERnJ\nmdy//y7fGILMExfHNbrmzEl6afyp8TTkyJAMdfPwIWsYfVUrMDWOHOEv58GDGRrHmFjovJA67Ovw\nn7ipnR1/Vz46xp8IDOTtOX2fx+Tit4u/0Zhjk6hgwc8irpcuSVimJmsSEJD54jxZ2hnTqOxWly5f\nZDdmbTp14oLghoCTEwvR67wi0PXr/BT991/p+/5UrHrIkCwZ+TAYgoJ4r/xjpnhkXCRV2ViFDrpp\n5ij5+XFQRyO/Sq3mUE+ZMkR37mhhtGFz/+19KrayGPl++CxHTq3mbbcU0gdsbJRJ89QHfMJ8KN8i\nU+rc87NaPh06SFzAOWvy889E48dn/H1Z2hkjSqcgvYsLT3D6qLSuAOfPc26noRwLV6s5H2LLFgUG\nd3LiCNkDiYsSz5/P+UDintR/Hj3iSNXHkkO3fG9R8VXFkzsLKRAZyQd0NapqERPDXkWDBoZTxF4G\nYhNiqfbm2vTPw3++vnjnDivzf5GTcuMGUcWKWTcQVHxSDxq1dRv/4OrKaQ+GMrnrMUFBmdO71MT/\nMRoF/pSYNQtYtQpQpySWPW8e8NtvQJ48OrdL31CpgBkzgN9/B3LnVtoazTAxYXsXLQIiI3U8eLt2\nrNTfqRPw4oU0fR48COzaBRw9Ku5JQ6B2bWDnTi794eeHRuaN8FPDnzDi+IhU1flVKmDQIMDKCpgz\nJ53+AwIAa2sgMRG4cgUoXVryj2AoLLyyEBVMK2BwncFfX2zQgGXSlyxJ9nKTJiza7+SkIyP1iMBA\nINJ5AlxUm0BE/BCcMsVwJnc9xswMGD8eWLxYhs4z5x9mHB0OlYRazSkFJ09+ceHKFd5mENpNRMRl\n+Jo1M8ydsQEDWFBaEXbu5FOWPj7a9XP3LkdZsuoRMENm2TKOXEVHU4IqgRr/1ThF/SsiomnTuOxp\nutPO/fu8j7lwoWF+KSXE5Y0LlVhVggIiAlJv5O+f4hHwHTuIOneW2UA9ZONGokE2Kqr8R2W6e8OB\nQzlSFFgUEBFRSAjfbh4emr9HE//HqJ0xIiJ7e9bMTEKt5gTcVPcvsxaRkZxb5+KitCWZw9NTe0E+\nrVi7lhXaAwMz9/63b3m7XOenEQSSoFazTuGAAURqNb0IfkFmK83o6bunyZpt3sz50yEh6fTn4JDl\nE/U/ER0fTVU3VtUsF2/FCqJu3ZK9FBXFD02NT6saCd99xyd1191cR45dqnKik0BSFi7k1F5NEc4Y\nse6MpeVnp5bOnyeqUoUvCGjBAn6OGDITJ3JdOsWYN49DsBldfUZHs0aHYqE9gSRERxM1bEi0ZAkR\nEW29s5Xqb6tPcYkcAnNy4rSmj3qxKaNW8/vLlOFIqYCmnZ1G/Q99rSWWIrGxnPR67lyyl6dPz1q+\niLc3O6BxcUShvi8pJK8JBb14qLRZRseHD3yOS9OqUsIZ+8gffxD16kU84TVuzEeiBeTnx1ElLy+l\nLdGOwED+HGk+7ORErWal4ebNNZdJ+RRR6d8/y29FGQV+fhxiPnqU1Go1dbHrQr9e/JVCQ/nlNEWK\no6NZi6dhwyydqP85V72vUqnVpSg4KljzNx09SlSjRrKFtocHBxqjo2UwUg9ZsYKl8IiIaMkS+rd1\nZVp2VZPTIoKMsnx5irrDKSKcsY9ERrIX67vtFCtoZ9UjNl8wciTRrFlKWyENCxfy80wxVCqOW3fs\nqFku4rJlLMIoNO6Mh9u3+cnv6koBEQFUcnVJ6vbTdRo3Lo33vH3L0dEBA7KOx5AOEXERVGFDBTr+\nPIMCpZ+OWG/cmOzljh2zTlZKnTofHf/oaKISJejJ5YNUdl1ZSlQlpvdWQQaJiOAKaZrUShbO2Gf8\nb56aXhetxzkZAnr4kG8kY8nrjIjgraB79xQ0IiGBi/D26/eVEGUyjh3jcEkWrCto9NjZ8aGOwEBa\nfOgYZZ9egXyDUim1du8eJ+ovWiSio58x/tR4GnZ0WObe/OgRr7yD/4uonTrFZyyMnSdPeFpJTCSi\nrVtZR5OIGv/VmE48F9U85GDNGs3qOGvi/xi1tMXnTC9/FKFhQEDTnkqbojhEwMyZrO5RqJDS1khD\n/vz8edKVDJCTHDmA/fuB4GA+/0z0dZtHj4BRo4AjRwBzc93bKJCXgQMBGxuoevWB3ZyO+L7895h/\nY9rX7RwcgPbtgXXr+MY1MdG9rXrIhVcXcOrFKazvsD5zHdSuDfTtCyxYkPRShw7A+/fA7dvS2Kiv\n2NsD/fsD2aECVq9mbScAExpOwKY7mxS2zjgZPx64dQu4f1+CziRwDjVCh0N9TWIiUc2atKnTKZo7\nVzkz9IXTp/kAoM7V62UmPp6oUqWvcnh1T3g4bz39/HPyiEdgIEdNRM6icaNSkVvl7nSx/I8UHvOB\nKmyoQFPOTKEzHmfoQ0wYR8IsLBQO4+ofYTFhVHZdWXLydNKuo6Ag3i52c0t6aeVKoqFDtTRQj1Gr\nWeT2zh3ik9lNmiTNPTEJMVRsZTHyeJ8BLQaBxmzcmL6Eiib+T9aIjB08COTPj/YbOmHbNiAiQmmD\nlCMxkaNiq1YBOXMqbY205MwJLFsGzJ6ditCvrihQADhzBnB0BFas4Nfi4lggdPBgjp4IjJb7D7Oh\na+hetMhzGwW27YLTYCcUyl0I6y4vg1PjonD7ewXmr+iAo3lfIzg6WGlz9YZpTtPQsVJHtKvYTruO\nzMw42jhtWlJ0euRI4MQJDlobI3fvcnD12/rEatizZiVFW/PkyIMRViOw9e5Wha00TkaP5g0PFxft\n+jH56LXJjomJCXQ0VHISE4EaNVgx/Ycf0L8/qzNPS2HnICuwdSv7phcvGufOCBHQuDH//yru87x9\nC7Rowd7vnTtAaChvT2XLGmugrEhiItCoEQueD2vlDTRtCuzZA9SqBfToAVXF8ri9cCycA2/hqs9V\n3HhzA2UKlkHLsi3Rshz/MS+Y9bavT704hclnJsN1nCsK5C6gfYcJCUDdurwY6tYNADBiBFCtGi/W\njI1p03gNuKjNFWDMGODpUyB79qTrr0JfofGOxvCZ6oO8OfMqaKlxsn07cPgwcO5cytc18X+M3xnb\nvZvLzDg7AyYmuHuXAxQvXxpfZCg9wsOBqlU5YFOvntLWyIezM6+Enz8HcuVS2BgvL6B5c16tX7/O\nyW0Co+X334FLl4CzZz8udq5eBfr04VI048YBc+cmWwUlqhPxKPARrr6+mvSnUJ5C7Jh9dNAqmFaA\niTGunD4SEhOC2ltqw66XHVpZtpKuYycnYOJEwM0NyJ0bd+/yf8XLl8n8FINHpQIsLHiBXX1mZ6BH\nDw7XfEFnu87oW6MvhlsN172RRk5CAj9b9+zh9feXCGcsPv6/31DLlkkvt2nz//buPa7m+48D+KuU\n0ZhEboWoqITSbdjmvmGYSxtizP26Ycx1zGUIs2Guc/255Tq3kQ2TcqlQZG6F6OIeEZXqnM/vj7c1\nkZTO+X7O5f18PM7jsU7f8/2+szrn/f183p/3B/jqK+DLL5UNR7bx44HERPrnMHStW9OWdV9/LTsS\nAPHxtN+ktbXsSJgWxcTQQNjJk0C1ai98Y/t2uvN7PkKTF7VQ49L9SzmSMwGBD6t8mD1y5mLtAlMT\nwxld7fZ7N1hbWL990X5e2ral9/7vvgNAo+bff09PG4rDh4FvvwUi1/0DtGhBN4C57G+7N3ovphyZ\ngvB+Br6SQZI1a+hx+PCrs06cjC1bRm+EL40d/vknzRxFRRnmVF1u4uJoNOzsWcDWVnY02nf2LC1W\ni46mDYMZ0yYhgKZNKd/SZAmEEAKxybEIvhGMkBshCI4LxoO0BzmSM7cKbjAzNdPcRRW0/cJ2jP97\nPCIHRMLC3ELzF4iOBho0AM6fB8qXx9q1wMaNNHJpKPr3BxwcgNEXvqLBh3Hjcj1OpVbB8VdHbPbd\nDC8bL2WDNAJZWUCtWlQR1axZzu8ZdzKWng44OtJEro9Pjm8JAbi5UTlBq1bKhSRT9+50t66V3eZ1\nVI8egJ0dMHWq7EiYoVu+HFixAjh+XPtTYDdTblJidiMYwXHBiHsUh/dt38+e1vSy8UIxs1dHRnTN\n3ad3UWdJHezovAP1K9fX3oVGjQKSk4EVK5CeDlSpQhUDjo7au6RSMjKAihWBqH0JsGldF7hyBShd\n+rXHzz42GxfvX8Tqz1YrGKXx2LgRWLiQfr9eHOgx7mRswQLgwAFgz55cv71hA715Hj6sXEiynDwJ\nfPYZcPkyFXkaixs3gHr16Ka4QgXZ0TBDdfMm3dwdOkRtrpSWlJqEo3FHs5Ozi/cuwqOSR3ZyVr9y\nfZQoqlu1ikII+G71haOVI/yb+2v3Yo8e/VcsW68exo6lJObnn7V7WSXs2UN1ikffH0WjDHPn5nn8\n/dT7cPzVEVe+voIyFmUUitJ4qFRAnTrU5u3FgR7jTcZSUwF7+zwr1TMzaWh361Za/WSohAAaNaL6\nuFxqOg3eyJFAWhoNHTOmaULQgqDatXVnBDblWQpOJJzIrjmLuBWBWuVqZU9tflDlA1gVt5Ia44ao\nDZh5dCZO9z+Nd8ze0f4Fly8H1q4FgoNx/YYJPD2pdMNCCzOjSvLzA5rWS0bfmfbAmTNUyf8GPXb0\nQN3ydTGywUgFIjQ+27ZRghwe/t/omPEmY3PmUFvcbdvyPGz+fODoUUrIDNWOHcCkSfR3akgriPIr\nKYluio8fB2rUkB0NMzTbt1NB+JkztGBSF6VnpSM8MTw7OQtNCIWdpV12zdmHVT5ExZIVFYvnZspN\nuC11Q2C3QHhU8lDmoioV4OFB9VSdO6NdO6rv69tXmctrw9OntIlHwtf+KBF3Md8rs0ITQtH99+6I\n/jraoBaC6Aq1mmZkpk79b82OcSZjKSk0Knb4MFXT5eHJE6qjOnGCRskMTUYG/RMsXEjF7MZq5kza\nrsKQk26mvIcPqX3Yli1Aw4ayo8m/TFUmIm9H0qKAuBCE3AhBWYuy2cnZR1U/QtVSVbXSTkMIgTYB\nbeBVyQuTG0/W+PnzdOQIFZJevIg/Qywwdiy9L+jrIq5Nm4ANK9Ox53x1WpWWzzlyIQQ8fvPAjGYz\n0NKhpZajNE67d9MgSEQEtZU0zmTsxx+BixepKCwfJk6krsxLlmg5Lgnmz6dG8Ia0cuhtpKbSqNj2\n7a+s5WDsrfXpAxQvTjc7+kwt1Dh/93x2zVnwjWCYmZrl6HXmVNZJI8nZyoiVWHRyEcL6hsG8iIRG\nj198Abi6Qv39pOyuRw0aKB+GJrRrB4wtuwIN7uwA9u4t0GtXRqzErsu7sLvrbi1FZ9yEoPKnMWOo\nt12+8p837ZcUGBgoatasKRwcHIS/v/9rjwsPDxdFihQR27dvz/X7+bhU4T14IESZMkJcvpzvl9y5\nI4SlpRC3b2sxLgkePBDC2lqIc+dkR6Ibli8XolGjnFtFMva2Dh4UokoV2obU0KjVahF9P1qsOL1C\n9NjRQ9jNsxPWs61Fx80dxbwT80TEzQiRpcoq8HmvP7wuys4uK6JuR2kh6nyKjRXCykqIuDjx889C\n+PnJC6UwkpKEKFVSJbIcaggRFFTg1z/NeCqsZlmJ2Iexmg+OCSGE2LdPCBcX2ho7P/lPniNjKpUK\nNWvWxMGDB2FjYwMvLy8EBATA2dn5leNatGgBCwsL9OrVC506dXrlXIqMjE2cSF1NV60q0MsGDaIG\n6YbU9mHkSJqx/e032ZHohqwsGsWfO5cawjL2tlJT6XdpwQLg009lR6OM+EfxCIkLya47u5lyEw0q\nN8ie1vSs5ImiRV6/3YVaqNFiXQu0qN4CYz8Yq2DkuZg4Ebh2DQ8XbkD16rRTR/nyckMqqBUrgKSV\nOzFGPZM2RXyLUcsR+0eguHlxzGg2QwsRMiGofGHoUKBbt0JOU544cQJTpkzB/ufzXP7PNz0eOzbn\nH9O8efNQtGhRnDx5Em3atJGTjN2/T5Xap09Tc6kCuHKFOmfHxhrGbjVXr9IQKbd0yGnnTprHj4w0\nzsUMTDO++47u+TZulB2JPHef3v2vncaNYEQnRcPbxjs7OXvf9v0cTVwXhS/Cuqh1ONr7qPwGtU+e\n0CaVW7ag3+oGsLMDJkyQG1JBNWsqsCWxAcrMGAXk8nmbH5fvX8ZHaz5C3PA4ZVa0GqFDh2iwJybm\nzflPnkspEhMTUfmFpbK2trZITEx85Zhdu3Zh0KBBACBvD7XZs6keoICJGEDF+40bAytXajwqKcaO\npS7gnIjl9Nln1Gctn+WEjL3i1Clg3TqqxzRm5d4th47OHTGv5TxEDIhAwrcJGNVgFNKz0vH939+j\n3JxyqL+yPsYcGIMNURvwQ9AP+F/7/8lPxAC64/b3B4YNw5BBaixbRiPn+uLWLaDoyWMorbpP+1C+\npZpla6JO+TrYfnG7BqNjL2raFKhUKX/H5pmM5SexGj58OPz9/bNHvrQ+FZmb27dp3LYQtzejR1MT\nwMxMDcYlwbFjNGr97beyI9E9JibU/2XiRNqggbGCyMykov2ffuJtRl9mWcwSrR1bw7+5P473OY67\n393FjKYzYGFugTVn12BOizmoWbam7DD/4+cHFCkCt6i1qFz5tb3BddLmzcAMy9kw/W5UoYf4B3sO\nxqKTizQUGXuZiUn+S4XyvE2xsbFBfHx89tfx8fGwfWljw9OnT6NLly4AgPv37yMwMBDm5uZol8um\nuJMnT87+78aNG6Nx48b5i/JNZs6kJcuF2HTRy4vaXGzdSn+n+kgIqhWbPl3/mxlqywcfULf0RYvo\n34qx/Jozh+5yu3WTHYnuszC3QJNqTdCkWhPZoeTO1JSGNzt2xLCpnbBoUUl06CA7qPwJXXUBg56G\nAz02F/pcbWu2xTf7v8GZ22fgVsFNA9ExAAgKCkJQUFCBXpNnzVhWVhZq1qyJQ4cOoVKlSvD29s61\ngP9fvXr1Qtu2bdGxY8dXL6StmrH4ePp01UCB1L59wPjxVFOkj71nNm2iD4yTJ+m9huXuwgWalo6O\nBiwtZUfD9MHly1SMe/o0ULWq7GiYxvTsiaxylWC7biaCgqiUTJddvQqEu/bGF+PtUWSiZgrdfgz+\nEfGP4rGs7TKNnI+9Kj/5T54f2WZmZli4cCE++eQTuLi4oHPnznB2dsayZcuwbJmO/I+bPp3aKGug\nQKpVK2rUfOCABuJSWHo6NZeeO5cTsTdxcaEePbNmyY6E6QO1mrYSmzSJEzGDM3MmzFb9htGdrurF\nlml7f0tEO7ETRYYM0tg5+9briy0XtuBR+iONnZMVnH43fY2NBTw9aYijjGY2PV27lh4HD2rkdIqZ\nPZvqxXbtkh2JfkhIAOrWBc6eLdTsNjMCS5dSc9CjR3kVrkGaMQOpIadQOfx33LihuyvqhQBWW4/G\nJ00zYbPlF42eu8u2LmhYuSG+9vlao+dlxPA78PfqRRujanCH3owM2k1p507aykwf3LsHODtTMlZT\nh2pkdd3YsdQRZcUK2ZEwXZWQALi7A0FBb9xdjemr9HTA2RmTbFeiUremGDhQdkC5++fYI9h8VB2l\nrkbC1K6KRs8dfCMYA/4YgAuDL8jriGDADDsZi46mIo6YGI0X/vz8M+24vmmTRk+rNUOHUo3br7/K\njkS/JCfTNklBQTR1ydiLhKB2KB4ewA8/yI6GadX27Uj5bgo+tIhA5DkznawZDmwyG+XvnkO98+s0\nfm4hBGovqY0FrRagabWmGj+/sSt0zZhOmzwZGD5cKxXY/frRNOW1axo/tcZdukRJI39YFJylJe0d\nNn687EiYLtq6lQqmx0puGM8U0LEjSlSxQof7yxESIjuYV4n0Z3APmQ+LH77TyvlNTEwwxGsIFp/U\ng8I5A6WfI2P//AM0a0at80uW1Mw5XzJ+PPD4se5vAtyuHfDhh9QVnBVcejpN7W7cSAOtjAFAUhLg\n6gr8/jvtzsGMwJkzSP3oEwxtdgmrdpSWHU0OVyasws35W/FhSqDWRu1SnqWg6ryqODfoHGzes9HO\nRYyU4Y6M/fADZR9aSsQA4Jtv6AP63j2tXaLQDh8Gzp0Dvuaay7dWrBiVHI4eTdNSjAHUg+6LLzgR\nMypubiji2wHegVNw65bsYF6gVqPEkjm47vudVqdPS75TEl1du2J5xHLtXYS9lv4lYxERwIkTwODB\nWr1MhQqAry81B9VFajV9YPj7U0LB3l737rSp+u7dsiNhuuCvv6iOcPp02ZEwpb0zaxq6mWzA79Mv\nyg4lm2rXH7id8i7qj9d+A91BXoOwPGI5MlV6vhWNHtK/ZGzSJGqopUCL+ZEjgcWLgadPtX6pAlu3\nDnjnHbp7Z4VTpAgltePG6dcedUzznj4FBgygdha62uKAaZG1NZ58PR4uK0YgM0M3hsofT5yNzVVG\nw7GG9lcVuJZzhYOVA3Ze2qn1a7Gc9CsZCw0FoqKA/v0VuVzNmrR9zurVilwu31JTge+/pwavurjq\nRx+1agWUKwesWSM7EibTxIn0N9+ypexImCwVfxwCe9NYhP6wT3YowLFjyIy7hXIDX93VRluGeA3B\n4lNcyK80/Srgb9EC+PxzxZIxgPK/rl2pg4ZZnjt5KufHHykn3bJFdiSGJSwM6NSJuqbw3p7GJzyc\nFsT88w9QtqzsaJhMweP2wW7+CFRJPgcULSotDlW79hhz8GOMiBkMG4Vq6jNUGag6ryoO9TgEF2vu\n+aMJhlXAf+QI9Zro1UvRy77/PvWV3bZN0cu+1u3bwLx5NK3GNMvHhwq2FyyQHQlTWkYG0KcP8Msv\nnIgxoP7U1riiro5bEyQup790CZnBJ3DO4yvFEjEAKFqkKPrV64clJ5cod1GmJ8mYEDR/MGkSYG6u\n+OVHj6bthnRhtd2kScBXXwHVq8uOxDBNnw789BO1NmDGY9YsoEoVoEsX2ZEwXWBuDlzo8zNKLpwB\n3L0rJ4i5c7HLdgg6dld+mL6/R39sOLcBTzKeKH5tY6Uf05QHDlCb+fPnpcwVqtVA7drA/PlA8+aK\nXz7bv+3VLl0CSutWGxyDMmgQTVPOnSs7EqaEixepV19EBCVkjAHAzZvAruoj0LtrKt5ZvUzZi9+6\nBeFSC9WyYnD6ehlNbb1cIB03d8TH9h9joKeO7g+lRwxjmlIIqlafMkVa0ZapKbU1mz1byuWzjRoF\nTJjAiZi2/fADFfLfuCE7EqZtajXtuDFlCidiLKdKlYDwlpOg2r4TOHNG2YsvWIDLXt3h2khOIgYA\ng70GY/HJxZrfU5rlSveTsb17afmg5B4Ofn7AhQtAZKSc6//5J5XM6eomtoakQgVgyBCaEmaGbcnz\nsphBg+TGwXTTVyNKY7bFFIjhw5WrU3n8GFi+HLMyv0XXrspcMjfNqjVDhioDx+KPyQvCiOj2NKVa\nTbv0TpoEdOigncAK4KefaCpj40Zlr6tSAW5uwLRpQPv2yl7bWD1+DDg6UgPQunVlR8O0IS4OqFcP\nCAkBnJ1lR8N0kRCAm2sWjqbVQ8nZk6gTuLbNnYv046dR/uBGJCbK7Xc3P3Q+whLDsLGTwh96QWow\nfQAAHLBJREFUBkb/pyl37KA5Qh3JQPr3pxGq69eVve6qVYCVFfDZZ8pe15i99x5NCY8bJzsSpg1C\n0GjYsGGciLHXMzEBBg41wxybeVSrkpam3QtmZAC//II9Tt+hZUv5jYd7uvVE4JVA3HlyR24gRkB3\nkzGVikbEpk3Tmc6m771H9SW//KLcNVNSqIaJG7wqb+BAWixx+LDsSJimbdpEI2NjxsiOhOm67t2B\nheebItXJHfj5Z+1eLCAAcHHBwqPu8PPT7qXyw7KYJXydfbEycqXsUAye7k5TbtwI/PorcPy4TmUh\nN28Crq7UBFaJwsqJE2kkbt067V+LvSoggJLvsDCd+jVkhXD/Pv0N794NeHvLjobpg6+/BuzU1zBy\nkxd13NZG4y+1GqhTB/cmzIPT0Oa4eZO2vJMt4lYE2m9qj2vDrsHMVEc6n+sZ/Z2mzMoCJk+mVvM6\n9glYqRKVry1WYLeIhAS6zowZ2r8Wy13nzvTrqCtNf1nhjRhBC3I4EWP5NWQIMGd7dWT1GaC92oXA\nQKBoUaxNbIb27XUjEQOAehXrweY9G+yN3is7FIOmm8nYunWU9TRtKjuSXI0aBSxcqP3ygQkTaKqs\ncmXtXoe9nqkpNQQdPx7IzJQdDSus/fuBo0ep+oGx/HJyotHU32uOAw4don3yNG32bGD0aARsMpG6\nijI3vF+l9uleMpaRAUydqlO1Yi9zdqZtkrS5qXREBK3kGztWe9dg+dOiBVCtGrBihexIWGE8eUI3\nN8uWAe++Kzsapm+GDAHmrypJUxXDh9O0oqaEhgJxcYiu44uEBKBJE82dWhN8XXwReSsSMUkxskMx\nWLqXjK1aBdSoQS2xddjo0dTqQqXS/LmFAEaOpML9kiU1f35WcP7+dI/whHcH0VsTJgCNGwMffyw7\nEqaP2rYF4uOBM7W/pERswwbNnXzOHGDkSARsNUPnzkCRIpo7tSYUMyuG3u69sfTUUtmhGCzdKuBP\nTwccHIDff9eLgo6GDekG6fPPNXve3bupLOHsWWmbDrBc+PnRdAU3g9U/J04AnTrRlmJWVrKjYfpq\n+nRaULW89wl64790qfD9J6KjgQ8+gLgWC2fPd7FmDc286JrYh7HwWu6FuBFxsDBXfr9MfaZ/BfzL\nllEXRj1IxAAaHZs1S7ONmTMzqZ3NnDmciOmaH3+k/Ull7RvM3s6zZ0D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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### **axes.set_title(title_text)**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####Ok, we have the title, what about the x and y axis labels. Lets add them." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(10,4))\n", "axes = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # left, bottom, width, height (range 0 to 1)\n", "axes.plot(a);\n", "axes.set_title(\"Our First Plot\");\n", "axes.set_xlabel(\"alpha \");\n", "axes.set_ylabel(\"beta \");" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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yQsTFP4OCuHpnZu6Z+Hi+G/TuDfyRfcX7/e77MddpLu6Pu2943ks9xtYWmD2b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\n11+BU6e0KoO5eRNwcqIGwZooQp0yhUYAN21S/7XY67ZupcQ9NFSrfg1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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### **set_xlabel** and **set_ylabel** are used to set the labels." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Cool, but the plot lines are too thin, can we be make them better? Sure." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(10,4))\n", "axes = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # left, bottom, width, height (range 0 to 1)\n", "axes.plot(a,linewidth=3)\n", "axes.set_title(\"Our First Plot\")\n", "axes.set_xlabel(\"alpha \")\n", "axes.set_ylabel(\"beta \")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 10, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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C/kf74RPgg/vv7mttY62wRouyLeDp7okeVXugpFNJE0vJ4ZgX8Snx8A32RRGHImjgYmwn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H79Gr169cLKlStRunRpqcPRKTMzM1y+fBkJCQk4efKkyew7ePjwYVSuXBk+Pj4m2SOldObMGVy6\ndAlHjx7F2rVrcerUKalD0ons7GxERkZi3LhxiIyMhI2NDRYuXCh1WJLIzMzEoUOH0Lt3b6lD0Zm7\nd+9ixYoViI2NRVJSEl6/fo0dO3ZIHZbO1K1bF9OnT8fHH3+MTp06wcfHJ98vtHqbyBWmoDAxfllZ\nWfjss88waNAgdO/eXepwJGNra4tPPvkEERERUoeiE2fPnsXBgwdRo0YN9O/fH//++y+GDBkidVg6\nV61aNQCAnZ0devTogfDwcIkj0g1HR0c4OjqiYcOGAIBevXohMjJS4qikcfToUfj5+cHOzk7qUHQm\nIiICTZs2RcWKFWFhYYGePXvi7NmzUoelU4GBgYiIiEBoaCjKlSuHOnXqvPdcvU3kClNQmBg3xhiG\nDx8ODw8PTJw4UepwdC45ORkpKSkAgLdv3+L48ePw8fGROCrdmD9/PuLj43H//n3s3r0bH330kap4\nuKlIS0tDamoqAODNmzf4+++/TWYFe9WqVeHk5IRbt24B4HPE6tWrJ3FU0ti1axf69+8vdRg6Vbdu\nXYSFheHt27dgjOHEiRMmNa0EAJ48eQIAiIuLw759+/IdWtdaQeDiel9BYVPSv39/hIaG4tmzZ3By\ncsLcuXMxbNgwqcPSmTNnzmD79u2q8gsAX5LesWNHiSPTjYcPH+Lzzz+HQqGAQqHA4MGD0bZtW6nD\nkoQpTrV4/PgxevToAYAPNQ4cOBAff/yxxFHpzurVqzFw4EBkZmbC1dXVJAvGv3nzBidOnDCp+ZEA\n4O3tjSFDhsDf3x9mZmbw9fXFqFGjpA5Lp3r16oVnz57B0tIS69atQ9myZd97LhUEJoQQQggxUHo7\ntEoIIYQQQvJHiRwhhBBCiIGiRI4QQgghxEBRIkcIIYQQYqAokSOEEEIIMVCUyBFCCCGEGChK5Agh\nBICLiwueP39e7HMIIUSXKJEjhBAUruiwTCYz6b1fCSH6hxI5QohJ6dGjB/z9/eHp6ZlnxfzY2FjU\nrVsXgwYNgoeHB3r37o23b9+qrl+9ejX8/PxQv3593Lx5EwAQHh6Opk2bwtfXF82aNVNtLUUIIdpG\niRwhxKRs3rwZERERuHDhAlatWoUXL17kOufWrVv44osvEB0djbJly2LdunWq6+zs7HDx4kWMHTsW\nS5YsAQC4u7vj1KlTiIyMxJw5c/DNN9/o7PkQQkwbJXKEEJOycuVKNGjQAE2aNEF8fDxu376d6xwn\nJyc0adIEADBo0CCcPn1adV3Pnj0BAL6+voiNjQUApKSkoFevXvDy8sLkyZNx/fp17T8RQggBJXKE\nEBMSEhKCf/75B2FhYbh8+TJ8fHyQnp6e6zz1+XKMMVHb2toaAGBubo7s7GwAwHfffYe2bdsiKioK\nhw4dyvM+CSFEGyiRI4SYjFevXqF8+fIoUaIEYmJiEBYWlud5cXFxqut27tyJFi1aFHi/9vb2AIBf\nfvlFs0ETQkg+KJEjhJiMjh07Ijs7Gx4eHpgxY4Zq+PRdderUwdq1a+Hh4YGXL19i7NixAMQ9dTKZ\nTNWeNm0aZsyYAV9fX8jl8kKtgCWEEE2QMVpLTwghKrGxsejatSuioqKkDoUQQgpEPXKEEPIO6lEj\nhBgK6pEjhBBCCDFQ1CNHCCGEEGKgKJEjhBBCCDFQlMgRQgghhBgoSuQIIYQQQgwUJXKEEEIIIQbq\n/wFelLSYOiMusAAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### axes.plot(a,**linewidth=3**) \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### ok that's good, but I want X Y plot, not a line plot. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(10,4))\n", "axes = fig.add_axes([0.1, 0.1, 0.8, 0.8]) \n", "axes.plot(a[:,0],a[:,2], \"o\")\n", "axes.set_title(\"X Y plot\")\n", "axes.set_xlabel(\"alpha \")\n", "axes.set_ylabel(\"beta \")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 11, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### axes.plot(x,y, \"o\") did that for us. \"o\" is the symbol " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### But the plot doesn't look good without grids, can we add grids. Sure." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(10,4))\n", "axes = fig.add_axes([0.1, 0.1, 0.8, 0.8]) \n", "axes.plot(a[:,0],a[:,2], \"o\")\n", "axes.set_title(\"X Y plot\")\n", "axes.set_xlabel(\"alpha \")\n", "axes.set_ylabel(\"beta \")\n", "axes.grid(True)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### **axes.grid(True)*** to your service" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### But what about the color, I don't like blue. Ok, so here we go, how about green!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(10,4))\n", "axes = fig.add_axes([0.1, 0.1, 0.8, 0.8]) \n", "axes.plot(a[:,0],a[:,2], \"go\")\n", "axes.set_title(\"X Y plot\")\n", "axes.set_xlabel(\"alpha \")\n", "axes.set_ylabel(\"beta \")\n", "axes.grid(True)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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o7hBczIKYgyzNQp7mIEvQ3AEAABiEmTsAAIAwxMwdAAAAaO4QXMyCmIMszUKe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\nYBCaOwAAAIPQ3AEAABiE5g4AAMAg/wfdL7amgMq3bgAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####Nice!!!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### What about plot in plot? We already know how to do it, lets see." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(10,4))\n", "axes = fig.add_axes([0.1, 0.1, 0.8, 0.8]) \n", "axes.plot(a[:,0],a[:,2], \"go\");\n", "axes.set_title(\"X Y plot\");\n", "axes.set_xlabel(\"alpha \");\n", "axes.set_ylabel(\"beta \");\n", "axes.grid(True);\n", "\n", "axes2 = fig.add_axes([0.2, 0.5, 0.4, 0.3]) \n", "axes2.plot(a);\n", "axes2.set_title(\"mini\");\n", "axes2.set_xlabel(\"a\");\n", "axes2.set_ylabel(\"b\");\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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/2/HLL8DDh2JEiRqkpwOensCECcC33xbuXDygQv982GzIijaVP19qSy81SFdh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\n7OxsV/YD55GlWchz+BhotIYsEeHki4eFhdne9v3339eOHTt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"text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####Yes add one more axes to the figure\n", "\n", "# Super cool!!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####If we don't care about being explicit about where our plot axes are placed in the figure canvas, then we can use one of the many axis layout managers in matplotlib. `subplots` is very common, which can be used like this:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(figsize=(10,4))\n", "\n", "axes.plot(a[:,0],a[:,2], \"o\")\n", "axes.set_title(\"X Y plot\")\n", "axes.set_xlabel(\"alpha \")\n", "axes.set_ylabel(\"beta \")\n", "axes.grid(True)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Or we can have multiple subplots in one figure like this." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(nrows=1, ncols=2,figsize=(10,4))\n", "\n", "for ax in axes:\n", " ax.plot(a[:,0],a[:,2], \"o\")\n", " ax.set_title(\"X Y plot\")\n", " ax.set_xlabel(\"alpha \")\n", " ax.set_ylabel(\"beta \")\n", " ax.grid(True)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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p+JKSRUoOQFaWaHFSRkRERGQDhk7KfD4f0tLSkJqairVr13a633vvvYeYmBhs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\nLpcLSqkr3hrASlqyXLx4Efv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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(nrows=4, ncols=1,figsize=(8,10))\n", "\n", "for ax in axes:\n", " ax.plot(a[:,0],a[:,2], \"o\")\n", " ax.set_title(\"X Y plot\")\n", " ax.set_xlabel(\"alpha \")\n", " ax.set_ylabel(\"beta \")\n", " ax.grid(True)\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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yp/FTG+E5MutgnsVjjsVjjuXL7J76oUOHcOLECYSGhmL58uV46aWXMGbMGLMvbElDl/r6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\nHTuazRXV0CUjIxuvvvoxbt6cDaDu9Z9+mobExDNYvHh+s7fvSGMDpcT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"text": [ "" ] } ], "prompt_number": 22 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####That was easy, but it isn't so pretty with overlapping figure axes and labels, right?\n", "\n", "#####We can deal with that by using the `fig.tight_layout` method, which automatically adjusts the positions of the axes on the figure canvas so that there is no overlapping content" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(nrows=4, ncols=1,figsize=(8,10))\n", "\n", "for ax in axes:\n", " ax.plot(a[:,0],a[:,2], \"o\")\n", " ax.set_title(\"X Y plot\")\n", " ax.set_xlabel(\"alpha \")\n", " ax.set_ylabel(\"beta \")\n", " ax.grid(True)\n", " \n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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nJ+PixYt6c8rKyjB79mx8/fXX+PHHH7F37165wiGZ8B62uJgbcTE3YmJe7I9Z++QcOnQI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"text": [ "" ] } ], "prompt_number": 26 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(nrows=1, ncols=2,figsize=(10,4))\n", "\n", "for ax in axes:\n", " ax.plot(a[:,0],a[:,2], \"o\")\n", " ax.set_title(\"X Y plot\")\n", " ax.set_xlabel(\"alpha \")\n", " ax.set_ylabel(\"beta \")\n", " ax.grid(True)\n", "\n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 42 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####That's nice, what about saving figures." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig.savefig(\"filename.png\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 43 }, { "cell_type": "code", "collapsed": false, "input": [ "fig.savefig(\"filename.png\",dpi=300)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 44 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figures can be saved as png, pdf,svg etc. \n", "\n", "##### " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####What about legends" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(figsize=(10,4))\n", "\n", "ax.plot(z, z**2, label=\"y = z**2\")\n", "ax.plot(z, z**3, label=\"y = z**3\")\n", "ax.legend(loc=2); # upper left corner\n", "ax.set_xlabel('z')\n", "ax.set_ylabel('y')\n", "ax.set_title('title');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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5Z86cx34fSZKwdOlSKBQKODo6YuPGjdi/f3+tRYyIiAzXjxk/Yl78POwN2csipgd0NjKW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\nQa3WHMheX6n6/XbvnuZrs2a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"text": [ "" ] } ], "prompt_number": 45 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####And we can also customize the axis limits, Check the below example" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x=z\n", "fig, axes = plt.subplots(1, 3, figsize=(10, 4))\n", "\n", "axes[0].plot(x, x**2, x, x**3)\n", "axes[0].set_title(\"default axes ranges\")\n", "\n", "axes[1].plot(x, x**2, x, x**3)\n", "axes[1].axis('tight')\n", "axes[1].set_title(\"tight axes\")\n", "\n", "axes[2].plot(x, x**2, x, x**3)\n", "axes[2].set_ylim([0, 60])\n", "axes[2].set_xlim([2, 5])\n", "axes[2].set_title(\"custom axes range\");\n", "\n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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o2rUr/v77bwBAdnY2hEIhAEAoFCI7O5tnRCJBh2IOoX/L/rQZlZyiKfqEvOVp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\nT5rEP5oPDAT691daoeGI5A1jaqmq4u0x60OxhUVDLfGkSUD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"text": [ "" ] } ], "prompt_number": 27 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### and customizing the axis grid is easy" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 2, figsize=(10,4))\n", "\n", "# default grid appearance\n", "axes[0].plot(x, x**2, x, x**3, lw=2)\n", "axes[0].grid(True)\n", "\n", "# custom grid appearance\n", "axes[1].plot(x, x**2, x, x**3, lw=2)\n", "axes[1].grid(color='b', alpha=0.5, linestyle='dashed', linewidth=0.5)\n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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OISKySTP+nIGUjBS83PhltPZoLTrHZnANMhHloVN0aLOiDY5HH8esjrMw03+m\n6CSroZbxTy0dRPR0J6JPoOXylnCyd8LF1y+idoXaopOsAtcgE1GRbDi7Acejj6OaczVMaTdFdA5R\nlshI0QVFI2O3jM2A9XTnfHrppNaTVDk5lvVcG4ITZCPIuOZRxmaA3Zb03+bk9GS89+d7AIBPO3+K\nMk5lBFQVTsZzTcUn6w9kGbtlbAasp3v7pe04+M9BVCpVCTM6zBDSVBhZz7UhOEEmolzmHZ2HGw9v\noKlrUwxrNkx0DhGRzUnLSMPUfVMBADM7zoRLSRfBRbaHE2Qj+Ev4PEUZmwF2W1LO5nuP7+Hzvz4H\noL9bWs0PBZHxXBMRGWLJiSW4HHsZnhU9Ma7FONE5NokTZCLK8tGBj5CQkoCe9Xqia52uonOIiGxO\nfHI8PjrwEQDgy25fwtHeUXCRbeIE2QgyrnmUsRlgtyVlNl+8fxFLTiyBncZOioeCyHiuiYgK8/mh\nzxH7JBbP1noWLzZ4UXSOzeIEmYgAANP2TUOGkoHRvqPRqGoj0TlE+dJqRRcUjYzdMjYDcndHxkdi\n3rF5AOR4KIis59oQ3AeZiBAcGYxOqzvB2ckZV968AjdnN9FJVkst459aOogoW8AvAdhwdgOGNBmC\ntS+tFZ1jtbgPMhEVSqfosvbanNZ+GifHREQCHLt1DBvObkAJ+xL4rPNnonNsHifIRpBxzaOMzQC7\nLel/K/+H0NuhcC/rjnfaviM6x2AynmsiovzkfCjI223eRi2XWoKLiBNkIhuWlJaE5WHLAQCfd/kc\npR1LCy4iIrI9Wy5sweGbh1GldBW81+E90TkErkEmsmmfH/oc7we9D183X5x47QTsNPw7s7mpZfxT\nSweRrUvNSIX3Im9EPIjAol6LMKHlBNFJVo9rkInoqe4k3kHgX4EAgK+6f8XJMUlB1kfbytgtYzMg\nX/fi44sR8SACdTSdMab5GNE5RpHtXBuDPxGNIOOaRxmbAXZbwszgmUhMTUSb9DboXLuz6ByjyXSu\nyXRk/YEsY7eMzYBc3XFP4vDxgY8BAKO0n0j3UBCZzrWxOEEmskHn753H8tDlsNfYY3yL8aJziIhs\n0mcHP8OD5AfopO2EtjXais6hHDhBNoK/v7/oBKPJ2Ayw29ze3fsudIoOY/3GYuiLQ0XnFIks55qI\nKD8RcRFYELIAGmikeCiIreEEmcjG7Lu2Dzuv7ERZp7KY6T9TdA4RkU1678/3kKZLw6vNXoVvNV/R\nOfQfnCCAjfE7AAAgAElEQVQbQcY1jzI2A+w2lwxdBqbsmQIAmNFhBqqWqar65qeRtZuI6MjNI/j5\n/M8o6VCSDwVRKU6QiWzIj6d/xKk7p1CzfE1Maj1JdA6R0bRa0QVFI2O3jM2A+rtzPhRkctvJ8Cjn\nAUD93fmRsdlQ3AeZyEY8Tn2M+gvrI/pRNNb2W4shTYeITrJJahn/1NJBZGs2nduEQZsHwbWMK668\neQVlS5QVnWRzuA8yEWX5+u+vEf0oGi2qt0BAkwDROURENiclPQXT900HAHzc6WNOjlWME2QjyLjm\nUcZmgN2mdu7uOcz+azYA4OvuX+d6KIhamwsjazcR2a6ZwTNxPf46vKt4Y6TvSNE5VABOkImsXFJa\nEgZuHogn6U8w3Gc4nq31rOgkIiKb88fVP/DF4S9gp7HD0heWwsHOQXQSFYBrkIms3Ojto7EybCW8\nKnvhxJgTKONURnSSTVPL+KeWDiJbEP0oGj5LfHAv6R4+7fQp3n/2fdFJNo1rkIls3E+nf8LKsJUo\n6VASmwZs4uSYpCfro21l7JaxGVBfd4YuA0O2DMG9pHvoWqcrpj8zPd/j1NZtCBmbDcUJshFkXPMo\nYzPAblO4EnsF434fBwCY/9x8NHFtku9xamo2hqzdVDyy/kCWsVvGZkB93Z8e/BTBkcFwLeOKH/v9\nCHs7+3yPU1u3IWRsNhQnyERWKDk9GQM3D0RiaiIGNRqE0c1Hi04iIrI5wZHB+Pjgx9BAg7UvrYWb\ns5voJDIQJ8hG8Pf3F51gNBmbAXYX17t73kV4TDjqVqiLZb2XQaPRPPVYtTQbS9ZuIrIN9x7fw+Bf\nBkOn6DCjwwx0rdNVdBIZgRNkIiuz5cIWLDy+EI52jtg4YCPKlSgnOomIyKboFB2Gbh2K24m38UzN\nZzDLf5boJDISJ8hGkHHNo4zNALuLKjI+EiO36ffW/Kr7V/Cr7lfo94huLipZu4nI+n115Cvsvrob\nlUpVwvr+67mlm4Q4QSayEmkZaXh588t4mPIQLzZ4EW+2elN0EpHJabWiC4pGxm4ZmwHx3X/f/Bvv\nB+m3cVvddzU8ynkY9H2iu4tCxmZDcR9kIisxde9UzDkyBzXK1UD4uHBULFVRdBLlQy3jn1o6iKzJ\ngycP4LPUBzce3sA7bd7B1z2+Fp1E+eA+yEQ2YueVnZhzZA7sNfbYMGADJ8dERBamKApGbh+JGw9v\noGX1lgjsGig6iYqBE2QjyLjmUcZmgN3GiEqIwtBfhwIAPuv8GdrVaGfU9/NcExEV36Lji7D14laU\nL1EeGwdshJO9k+gkKoZCJ8gjR46Eq6srmjTJfshAXFwcunXrhvr166N79+6Ij4/P+lpgYCA8PT3h\n5eWFPXv2mKeaiAAA6bp0DN4yGLFPYtGjbg+82/5d0UlkBhyHidQt9HYoJu+ZDABY0WcFaleoLbiI\niqvQNciHDh2Cs7Mzhg4dijNnzgAApk6disqVK2Pq1Kn44osv8ODBA8yePRvnz5/H4MGDcfz4cURF\nRaFr1664fPky7Oxyz8O59o3INGbun4mPD34MN2c3nBp3ClXLVBWdRIUoyvjHcZhIvRJSEuC3zA9X\n465ifIvxWPz8YtFJVAiTrEHu0KEDKlSokOtz27dvx7BhwwAAw4YNw9atWwEA27ZtQ0BAABwdHaHV\nalGvXj2EhIQUtZ+IChB0PQifHPwEGmiw7qV1nBxbMY7D2WR9tK2M3TI2A5btVhQF434bh6txV9HU\ntSm+6fFNkV9LxvMtY7OhirQG+c6dO3B1dQUAuLq64s6dOwCA6OhoeHhkb2fi4eGBqKgoE2Sqg4xr\nHmVsBthdmDuJdzBkyxAoUPDBsx+gU+1ORX4tnms52eo4LOsPZBm7ZWwGLNu9KmwV1p9djzKOZbBp\nwCaUdChZ5NeS8XzL2GyoYu9crdFoCnyM7dO+Nnz4cGj/3UDPxcUFPj4+WY+OzfzBp7aPM6mlx5o/\nDg8PV1WPmj4O2h+EafumIcYpBh1rdcSzyrMIDg4u8uuFh4er6t/P2v7/OHfuXISHh2eNd+ZQ9HF4\nVtbvfXz84ePjD602/71NIyPz/2HI4633+PBwdfUYevy/Q5rZe64/uI7XD88BygJLXliCBpUbFOv1\nc3Zbot+Wjg8PD0Z4eDBcXAAXl7zH50sxwPXr15XGjRtnfdygQQPl9u3biqIoSnR0tNKgQQNFURQl\nMDBQCQwMzDquR48eytGjR/O8noF/LBHlI/BQoIJZUCp/WVm59fCW6BwyUlHHP47Devv3iy4oGhm7\nZWxWFMt0J6YkKt6LvBXMgjJ863CTvKaM51vGZkUxbPwr0hKLPn36YPXq1QCA1atXo2/fvlmf37Bh\nA1JTU3H9+nVcuXIFrVq1KsofQUT5OHzjMP4X9D8AwJq+a+Bezl1wEYnCcZhInIm7JuL8vfPwquyF\nhT0Xis4hMyh0ghwQEIB27drh0qVLqFGjBr7//ntMnz4de/fuRf369REUFITp06cDALy9vTFw4EB4\ne3ujZ8+eWLx4cYFv+8nmv2/tykDGZoDd+YlNikXALwHIUDLwbrt30dOzp0lel+da/TgOE6nHT6d/\nwqrwVSjpUBKbBmxCGacyopPIDApdg7x+/fp8P79v3758Pz9jxgzMmDGjeFVElIvy7xOabibcRBuP\nNvis82eik8iCOA5nM+NSbrOSsVvGZsC83ZdjL2Pc7+MAAPOfm48mrk0K+Q7DyXi+ZWw2VKH7IJvl\nD+X+m0RGmXd0Ht764y24lHRB2NgwaF20opOoiNQy/qmlg0gWyenJaLuyLcJjwjGo0SCs77+e785I\nyiT7IBORWCeiT+Ddvfon5K3qs4qTYyIiAabsmYLwmHDUrVAXy3ov4+TYynGCbAQZ1zzK2AywO9PD\n5IcYtHkQ0nRpeKPlG+jXsJ9JXx/guSYiKsyWC1uw6PgiONo5YuOAjShXopzoJDIzTpCJVEpRFLz2\n22u49uAafN18Maf7HNFJREQ25/qD6xi5bSQA4KvuX8Gvup/gIrIErkEmUqllJ5dh7G9j4ezkjNDX\nQuFZyVN0EpmAWsY/tXQQqVlaRho6fN8Bx6KO4cUGL+LXQb9yaYUV4BpkIkmdvnMak3ZPAgAse2EZ\nJ8dE/5L10bYydsvYDJi2+/2g93Es6hhqlKuBVS+uMuvkWMbzLWOzoThBNoKMax5lbAZsuzsxNRGD\nNg9CcnoyRvmOQkCTgOKHFcCWzzXJR9YfyDJ2y9gMmK5755WdmHNkDuw19tgwYAMqlqpomhd+ChnP\nt4zNhuIEmUhl3tj5Bi7evwjvKt6Y33O+6BwiIptzK+EWhv46FADwWefP0K5GO8FFZGmcIBvB399f\ndILRZGwGbLd7zak1WH1qNUo5lMKmAZtQ2rG0acIKYKvnmogoP+m6dAzZMgSxT2LRo24PvNv+XdFJ\nJAAnyEQqcfH+RUz4fQIAYEHPBWhUtZHgIiIi2/PJgU9w8J+DcHN2w5p+a2Cn4VTJFvF/dSPIuOZR\nxmbA9rqfpD3BoM2D8DjtMQY3GYyRviNNG1YAWzvXRERPE3Q9CJ8c/AQaaLDupXWoWqaq6CQShBNk\nIhV45493cPrOadSrWA9Lnl/CbYSInkKrFV1QNDJ2y9gMFL37TuIdDNkyBAoUfNjxQ3Sq3cmkXYWR\n8XzL2Gwo7oNMJNjP537GwM0D4WTvhKOjjsK3mq/oJDIjtYx/aukgUgOdokPPn3piT8QedKzVEX8O\n/RP2dvais8hMuA8ykcpde3ANo3eMBgB83f1rTo6JiAT48vCX2BOxB5VLV8ZPL/3EyTFxgmwMGdc8\nytgM2EZ3akYqBm0ehISUBPTz6ofXW75uvrAC2MK5JiJ6msM3DuN/Qf8DAKzpuwbu5dwFF5EacIJM\nJMj0fdNxIvoEapWvhZV9VnLdMRGRhcUmxSLglwBkKBmY2m4qenr2FJ1EKsE1yEQC7Li0A3029IGD\nnQMOjTiENh5tRCeRhahl/FNLB5EoiqKg78a+2H5pO9p4tMHB4QfhaO8oOossgGuQiVTo5sObGL5t\nOADg886fc3JMZARZH20rY7eMzYDh3fOPzcf2S9vhUtIF6/uvFz45lvF8y9hsKE6QjSDjmkcZmwHr\n7U7XpSPglwDEPYlDz3o9MbndZMuEFcBazzVZJ1l/IMvYLWMzYFj3iegTeHev/gl5q/qsgtZFa9Ym\nQ8h4vmVsNhQnyEQWNHP/TBy+eRjVy1bH6r6r+YQmIiILe5j8EIM2D0KaLg1vtnoT/Rr2E51EKsSf\nzkbw9/cXnWA0GZsB6+zeG7EXgX8Fwk5jh3UvrUOVMlUsF1YAazzXRET5URQFY38bi2sPrsHXzRdz\nus0RnUQqxQkykQX8ffNvDPh5ABQomNlxJjpqO4pOIiKyKYqi4J0/3sHGcxvh7OSMjQM2ooRDCdFZ\npFKcIBtBxjWPMjYD1tV9IPIAuv3YDQkpCRjgPQDvd3jf8mEFsKZzTUSUH52iw+s7X8fcY3PhaOeI\nn176CZ6VPEVnkYo5iA4gsmZ7I/bixQ0v4kn6EwxpMgQ/9P2BT2giKgatVnRB0cjYLWMzkLc7Q5eB\nMTvG4Pvw71HCvgS2DNqCXp69hLQVRMbzLWOzobgPMpGZ/Hb5NwzYNAApGSkY5TsKS19YyskxqWb8\nU0sHkTml69IxbOswrDuzDqUcSmF7wHZ0rdNVdBYJZsj4xyvIRGaw5cIWvLz5ZaTp0jChxQQs6LWA\nO1YQEVlQakYqAn4JwJYLW+Ds5Iydg3eiQ60OorNIEvyJbQQZ1zzK2AzI3b3uzDoM/Hkg0nRpmNx2\nMhb2WqjqybHM55qIKD/J6cl4aeNL2HJhC8qXKI+9r+7l5JiMot6f2kQS2nVlF17Z8goylAy83+F9\nzOk2BxqNRnQWEZHNSEpLQp/1ffD7ld9RqVQlBA0L4hNLyWhcg0xkIktOLMH438cDAD7p9An+9+z/\nBBeRGqll/FNLB5EpPUp5hBfWv4CD/xxE1TJVse/VfWji2kR0FqmMIeMfryATmcDco3OzJsdfdfuK\nk2MiM5H10bYydsvW/DD5IXqs7YGD4f+getnqODD8gFSTY9nONyBns6E4QTaCjGseZWwG5OoOPBSI\nt/94GwAwsepETG43WXCRcWQ61znJ2k3FI+sPZBm7ZWqOTYpFlzVd8Petv1E1vTUODj8Ir8peorOM\nItP5ziRjs6G4iwVRESmKglnBs/DxwY+hgQbLey9H3YS6orOIiGzK3cd30XVNV5y5ewZ1K9TFp37z\nULeim+gskhwnyEbw9/cXnWA0GZsB9XcrioLp+6bjyyNfwk5jh9V9V+OVpq+IzioStZ/rp5G1m4hM\nJ/pRNLqs6YKL9y/Cq7IX9r26D1dCOTmm4uMEmchIiqLgrd1vYX7IfDjYOWDdS+vwf43+T3QWEZFN\nufHwBjqv7oyIBxFoUrUJ9r66F67OrrgiOoysAtcgG0HGNY8yNgPq7dYpOoz7bRzmh8yHk70Tfhn4\nS67JsVq7CyJjMyBvNxEV37UH1/Ds988i4kEEmldrjv3D9sPV2VV0FlkRXkEmMlC6Lh2jto/CmlNr\nUNKhJLYO2ooe9XqIziKyKVqt6IKikbFbrc2X7l9ClzVdEPUoCq3dW2P3K7vhUtIl6+tq7S6MjN0y\nNhuK+yATGSAtIw2v/PoKNp3bhDKOZbAjYAc61e4kOoskpJbxTy0dRMY4e/csuq7pijuP76BDzQ74\nffDvKFuirOgskowh4x+vIBMVIiU9BYM2D8K2S9tQ1qksdg3ZhfY124vOIiKyKWG3w9Dtx26IfRKL\nrnW6YuugrSjjVEZ0FlkprkE2goxrHmVsBtTT/STtCfpt7Idtl7bBpaQL/hz6Z4GTY7V0G0PGZkDe\nbiIy3rFbx9B5TWfEPolFL89e2BGwg5NjMiteQSZ6isepj9FnQx8EXQ9C5dKVsffVvfBx8xGdRURk\nU/668Rd6/dQLj1IfoZ9XP2wYsAFO9k6is8jKFWsNslarRbly5WBvbw9HR0eEhIQgLi4OgwYNwj//\n/AOtVotNmzbBxcUl1/dx7RupXUJKAp5f9zz+uvEX3JzdsO/VfWhUtZHoLLICph7/OA6TNQu6HoTe\n63sjKS0JLzd+GWv6roGjvaPoLJKcIeNfsZZYaDQaBAcHIywsDCEhIQCA2bNno1u3brh8+TK6dOmC\n2bNnF+ePILK4B08eoNuP3fDXjb/gUc4DB4Yf4OSYVMvWxmFZH20rY7fo5t1Xd+P5dc8jKS0Jw32G\nY22/tQZNjkV3F5WM3TI2G6rYa5D/OwPfvn07hg0bBgAYNmwYtm7dWtw/QjVkXPMoYzMgrvt+0n10\nWdMFIVEh0LpocXD4QdSvVN/g75fxfMvYDMjbbQ62NA7L+gNZxm6RzdsubkOf9X2QnJ6MsX5jsbLP\nStjb2Rv0vTKea0DObhmbDVXsK8hdu3ZFixYtsHz5cgDAnTt34Oqq36zb1dUVd+7cKX4lkQXcSbyD\nTqs7ISwmDJ4VPXFw+EHUrlBbdBZRgTgOk7XZdG4TBvw8AGm6NExqPQnfPf8d7DTcU4Asq1g36R0+\nfBjVqlXDvXv30K1bN3h5eeX6ukajgUajKVagmvj7+4tOMJqMzYDlu6MSotBlTRdcir2EhpUb4s+h\nf6Ja2WpGv46M51vGZkDeblOztXGYrNuaU2swYtsI6BQdprefjs+7fM7/fkmIYk2Qq1XTTyCqVKmC\nfv36ISQkBK6uroiJiYGbmxtu376NqlWr5vu9w4cPh/bfR7C4uLjAx8cn6wde5lun/JgfW+LjDb9t\nwDt/vIPblW+jqWtTzKo1C5dOXkI1/2qq6OPHcn88d+5chIeHZ413pla8cXhW1u99fPzh4+MPrTb/\np2NFRub/diqPt97jw8Mt27P85HKM/W0sFCh4q8FcdLefiAMHNE89/mmvHx5umh5LH5+zWw091nR8\neHgwwsOD4eIC/Od+5adTiujx48dKQkKCoiiKkpiYqLRr1075448/lHfffVeZPXu2oiiKEhgYqEyb\nNi3P9xbjjxVq//79ohOMJmOzoliu+0rsFaXmtzUVzILSYlkLJTYptlivJ+P5lrFZUeTtNuX4Z5vj\nsOiCopGx25LNC44tUDALCmZB+eKvL4r1WjKea0WRs1vGZkUxbPwr8hXkO3fuoF+/fgCA9PR0DBky\nBN27d0eLFi0wcOBArFy5Mmt7ISI1unj/Ijqv7ozbibfRrkY77By8E+VLlhedRWQwWxyHzXQh3uxk\n7LZU85zDczB131QAwLzn5mFi64nFej0ZzzUgZ7eMzYYq1j7IRf5Duf8mCXbmzhl0/bEr7j6+C3+t\nP3YE7ICzk7PoLLIBahn/1NJBtktRFHx68FN8GPwhNNBgyQtL8Jrfa6KzyAYYMv7xSXpkc05Gn0T3\ntd0R9yQO3et2x6+DfkVpx9Kis4iIbIaiKHg/6H0E/hUIO40dVvVZhWE+w0RnEWXhvilGyLz5RiYy\nNgPm6/775t/osqYL4p7EoXf93tj28jaTTo5lPN8yNgPydhPZOkVR8M4f7yDwr0DYa+yx7qV1nByT\n6vAKMtmMvRF78dKml5CYmoj+DftjXf91cLJ3Ep1FRGQzUtJTMGn3JCw9uRSOdo7YOGAj+jXsJzqL\nKA+uQSar9zD5IabunYplocsAAEOaDMEPfX+Agx3/fkiWp5bxTy0dZDv+vvk3Rm0fhQv3L6CEfQls\nGbQFvTx7ic4iG2TI+MclFmTVdlzaAe/F3lgWugyOdo74yP8jrO67mpNjIknJ+mhbGbtN1ZyYmoi3\ndr+F9qva48L9C/Cs6ImgYUFmmxzLeK4BObtlbDYUJ8hGkHHNo4zNQPG77z6+i4BfAtBnQx9EP4pG\nG482CBsbhg87fgh7O3vTROZDxvMtYzNgeHdGBnDyJDBnDrBokXmbyPxk/YEsY7cpmvdG7EWT75pg\n3rF5sNPYYXr76Tg17hTa1WhX/Bd/ChnPNSBntzHNDx8C27cDb70FnD9vtiST4WU0siqKomDdmXWY\ntHsSYp/EorRjaXze+XO80eoNs06MST0UBbhwAQgKAv78EwgOBuLj9V+rXx94/XWheUQ24cGTB5i8\nZzK+D/8eAODj5oOVfVaiebXmgsvIUpKSgMOH9WNxUBBw4gSg0+m/VqMG4O0ttq8wnCAbIfPRsTKR\nsRkoWvfNhzcx7vdx2HllJwCga52uWPbCMtSuUNvEdU8n4/mWsRnI3X39evaEOCgIuHMn97G1awOd\nO+t/KQqgyf30WiIyoS0XtuD1na8jJjEGJexLYGbHmZjSbgoc7R1Fp5EZpaYCISHZE+K//9Z/LpOD\nA9C2rX4c7tpVXKehOEEm6ekUHZacWIJp+6YhMTURLiVd8E33bzDcZzg0nAlZpdu3swfhoKC8b/O5\nuWVPiDt31k+Qici8YhJj8MbON/DLhV8AAO1rtMeKPivgVdlLcBmZQ0YGcOkScPy4fhw+dAh4/Dj7\n6xoN0Lw50KWLfhx+5hnAWaLncXGCbIT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"text": [ "" ] } ], "prompt_number": 49 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### And what about adding two axis on a single graph!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax1 = plt.subplots(figsize=(10,4))\n", "\n", "ax1.plot(x, x**2, lw=2, color=\"blue\")\n", "ax1.set_ylabel(r\"area $(m^2)$\", fontsize=18, color=\"blue\")\n", "for label in ax1.get_yticklabels():\n", " label.set_color(\"blue\")\n", " \n", "ax2 = ax1.twinx()\n", "ax2.plot(x, x**3, lw=2, color=\"red\")\n", "ax2.set_ylabel(r\"volume $(m^3)$\", fontsize=18, color=\"red\")\n", "for label in ax2.get_yticklabels():\n", " label.set_color(\"red\")\n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Bype/wR9kswFPPcWajZAQYPlyoEABj4xZ5EaZNignJ7NXdePGQL16XAALXH/bcBEREfG8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\n", "text": [ "" ] } ], "prompt_number": 50 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Notice the `ax2 = ax1.twinx()` part" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Ok what about adding texts to the figure. Check the below example" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(figsize=(10,4))\n", "\n", "ax.plot(x, x**2, x, x**3)\n", "\n", "ax.text(5, 10, r\"$y=x^2$\", fontsize=20, color=\"blue\")\n", "ax.text(4, 160, r\"$y=x^3$\", fontsize=20, color=\"green\");" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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KLNi/AFfyriBubhws2lhIHYkkxkJFRCSBI9ePwNvJG8aGxur74m7FYUSX6iczv/LzK0jO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\nMaGY4DKBRYpIT7B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"text": [ "" ] } ], "prompt_number": 51 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## use ax.text(x, y, text, fontsize=20, color=\"blue\")\n", "\n", "# " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#So we have seen, that almost every part of the figure, axes, can be configured and customised. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##All this will be applicable for all other Plot types. W\n", "\n", "##We will now walk through some of the other plot types available in $Matplotlib$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#$Contour Plots$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####Colormaps and contour figures are useful for plotting functions of two variables. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Generate some data" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def f(x,y): return (1-x/2+x**5+y**3)*np.exp(-x**2-y**2)\n", "\n", "n = 256\n", "x = np.linspace(-3,3,n)\n", "y = np.linspace(-3,3,n)\n", "X,Y = np.meshgrid(x,y)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 54 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Lets plot the entire contour and then we will de construct it" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 1, figsize=(10, 4))\n", "plt.axes([0.025,0.025,0.95,0.95])\n", "plt.contourf(X, Y, f(X,Y), 8, alpha=.75, cmap=plt.cm.hot);\n", "C = plt.contour(X, Y, f(X,Y), 8, colors='black', linewidth=.5);\n", "plt.clabel(C, inline=1, fontsize=10);\n", "plt.xticks([]), plt.yticks([]);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Xbsxlss3IvacMTL9sebuDM79Yz9Z/LhqQ+wMoq+nhmHvW8+aTM1iYPXhPxdJ1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HHG73IwxBB0AQBAn1pcUqKHZlfoM394VT97bpvf5WAIIegCAIA+Nz8W02NzF+jb9Un96BnCLvoH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\n", "text": [ "" ] } ], "prompt_number": 55 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Looks cool! Isn't it. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Lets go step by step and see how this coolness was acheived!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 1, figsize=(10, 4))\n", "plt.axes([0.025,0.025,0.95,0.95])\n", "plt.contourf(X, Y, f(X,Y), 8, alpha=.75, cmap=plt.cm.hot);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 56 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### `Contourf` plots a filled contour map. Ok. \n", "\n", "#####This gives the colour, but what about the contour lines?\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 1, figsize=(10, 4))\n", "plt.axes([0.025,0.025,0.95,0.95])\n", "C = plt.contour(X, Y, f(X,Y), 8, colors='black', linewidth=.5)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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JxefzERMTg2PHjuHcuXPo3r07Jk+ejIkTJ8LKyorreEQC8Xg83Lt3D2FhYbhy5QpSU1Mx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"text": [ "" ] } ], "prompt_number": 122 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####`contour ` just plots the contour lines. \n", "\n", "#####In this plot color was specified as black. But what about the values on the line. We use `clabel`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 1, figsize=(10, 4))\n", "plt.axes([0.025,0.025,0.95,0.95])\n", "C = plt.contour(X, Y, f(X,Y), 8, colors='black', linewidth=.5);\n", "plt.clabel(C, inline=1, fontsize=10);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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vFRYWIiYmBtevX8eNGzeQn5+PMWPGYPz48Rg3bhxsbGygq6tLt/97mdbWVjx8+BDJyclI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\nAP2gNAMAAAD9oDQDAAAA/fgPnQk8UiDa888AAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 59 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### If we don't specify black color we get the following contour lines" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 1, figsize=(10, 4))\n", "plt.axes([0.025,0.025,0.95,0.95])\n", "C = plt.contour(X, Y, f(X,Y), 8, linewidth=.5);\n", "plt.clabel(C, inline=1, fontsize=10);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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EKEQLIkmzED6kaXDrQdhgU32cQ416R9S0NDQ2soEfmE8b2jCaMbLRSgQ0Fy72sIeNrGcb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"text": [ "" ] } ], "prompt_number": 60 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### So we see, combination of `plt.contourf`, `plt.contour` ,`plt.clabel ` gave us that awesome plot.\n", "\n", "\n", "\n", "##### So always mix and match with matplotlib" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#$Bar plots$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Let's generate some data" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.random.rand(20)*10\n", "y = np.random.rand(20)*10" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 63 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(figsize=(12,6))\n", "ax.bar(range(len(x)), np.sort(y), facecolor='#9999ff',edgecolor='white');\n", "ax.set_title(r\"$Bar Chart$\");\n", "ax.set_xlabel(r\"$\\alpha$\");\n", "ax.set_ylabel(r\"$\\beta$\");" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 72 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### ax.bar(x, y, facecolor='green',edgecolor='white') Plots the above bar chart. \n", "\n", "\n", "#####Lets label the values. \n", "\n", "##### We will use, `text` command that we have used earlier" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(figsize=(12,6))\n", "ax.bar(range(len(x)), np.sort(y), facecolor='#9999ff',edgecolor='white');\n", "\n", "for xx,yy in zip(range(len(x)),np.sort(y)):\n", " ax.text(xx+0.4, yy+0.05, '%.2f' % yy, ha='center', va= 'bottom');\n", "ax.set_title(r\"$Bar Chart$\");\n", "ax.set_xlabel(r\"$\\alpha$\");\n", "ax.set_ylabel(r\"$\\beta$\");" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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p6emKjY1VXFyciouLzSwbANAOeGWfZgD+p6GhQcnJybJardq0aVOTc3a7XZMn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\nAAB8C6G5nTC6+W3Dhg166aW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"text": [ "" ] } ], "prompt_number": 75 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# $Histogram Plot$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####Generate some data" ] }, { "cell_type": "code", "collapsed": false, "input": [ "hd=np.random.randn(10000)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 86 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(figsize=(10,4))\n", "ax.hist(hd, bins=25,color=\"lightgreen\",edgecolor='white');\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 91 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Or plot Holizontal Histogram" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(1,2,figsize=(10,4)) \n", "ax[0].hist(hd, bins=10,color=\"lightgreen\",edgecolor='white',orientation=\"horizontal\");\n", "ax[1].plot(hd,\"r.\");\n", "fig.tight_layout()\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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jUZcyjcFBM+FjqVNpKd5n+ZKMgMtU1o88gnI2NODzMt38hg2TT1U+CShBVigU\ninMBLpsnTi7AD63ubiOn4Gxl9ueHh81rLS2IMvX2eh+M9kNMEmu5SYkzz/HuflfqaiI8kO3I89Kl\nICKustokgcsf9FDliYBrKV4SL5kimImGzMgmCcFdd2WSL1lHtlZzpYm+91635tgmgUGEnDfhHTpE\ndPvtRvJgE8sg0iH1tIyWFiOr4fL99rdEt96KKOFPfpJJZtlKMEgjzHXhpCBS2iBJVJi6y/ejUTPx\n4+ioXO7PZiFo28cxRkbMeXn8v/su/q+uJlq2zFzr0KHM8SCjodz/fH+wZKC21tjq8YoIW9UdO4b/\n16xBe/m5yCxfjv6RLhCtrYj6lpSgHF1d+C7o7MQmQ5Z5pFL+mf9kshR5j8tJEG8A5fHW0IB24Haq\nqUFqeO6HvXuJXnoJ7drbi0kGT7ykTn4KoBILhUKhOBewcaNZAr37bkOSenuhN2b/5K4ud4YwPl4S\npoULIcFoaEDEsLcXD8m77jIbs5hUsHSACISFwRuXOju9D81nnsl0y2BJwB134PW5c73RM4btJpGL\nS0I2iQRDkjOZtpcJgZ1i2v4cEUhASYkpFy+5V1eDNGRLscuTEb+UwLwJjyOfmzaBcHHkm9s1qH3Y\n8UGWe+FC74Rm0yZEQD/+GNrq+fMz5SPZUhcTgcw3NODnwQczCaSNDRtQFp6M2A4RGzYgwjoxAWLM\nqKrChrugc7uwYQPq09TkXflIJMz45/vjxAnU0y/lOJ/PJaHherMEiSVK0lWEtfBEuLbLVUL2jyTH\nTU1ICf/kk7h/+Pysm+7owHGxGCwH7Ta480707fLl7nvcT6YUj5tNgKdP47WhIZMWnMvLkw4ug+uc\nUwAlyAqFQnEuwN5ZLwneqVPmAUnk1nFy9EqSloce8upm5S74p57ykjt+sNbXm01D9mf4IT40BI0i\na3CXLsWD+K674KTx8MMgHH192Hh3/vlYbl671iztughfGNu0sG4IktywrpPPG3QOaftWWWkiZT09\nxhnhxAmQBtvV4vhx70Tna18LJrf8eSYZjMFBEPNDhyA/kW1ngzXorL+WEwLbVcHPto/lI7t3I9LJ\nlnp2f9hWhC5SbeuO5WTEtlHjyRERysd/Dw8b8pqLhWAqBVJ5221G1tPSgggut0NbG/6urCT63e/Q\nxtJxwU7SI/uO68ta3Pffx5iQ7cy6W2lVx/IFnlgx5Phh1NTgXpZj1nYW4UkvR9ttS7k//AEE+z/+\nwzvp9psLRdknAAAgAElEQVQE8euyHEyQZZm5vKzdbmsjuvFGE4G//XaUd9267PdxAaAuFjMc6mKh\nUMxszBoXiwsuwEOmqgoP2Zoa/8QJTzxhljulZrG5GRuH/JIwSCeFQ4fwU12NczD54x3rvIzOkTcX\nWPv40EMmYiZ3+ScSSG4hnTWCEjKESQIitchhE53Y52X5QXm5W+fq5zxhOwYQeTXfLIGRfeVy0pB1\nkZ9nJJPYfGUjyKHBpdH2c1Xo7ka/2u4HqZTRkJeUePW78jO2q4ask93W/Bm7Djx+iYw12ze/mVkm\nCSkZkb7YQWW4807cS5yE54EHcH5Xm7e14Zx+7itBMqjKSm8mPtn2t99u7gE5/u1xxpvjDh/23tfs\nLCLH6+io15Gmutq0yQsveCPyRBiH77wTPNlgdw8m9WzpZjuy3Hef+Y6x3TqIvPKY7m6KPPpoUb6D\nlSDPcChBVihmNmYNQV692mvJdPq08VDlzTh1dYjCsd2SJJ7S+s0Pfg/tRAJRtkcfxf9XXIFl3upq\naCY5hW9rK0h1f7/bRozPNTqKqOidd8JVQC7Jcv2k5RQ/tF2Z7iRsguKyVXNh3jxstrLbSBIpV5ls\n0ukioXaZmSS3tiKKJ8to9+ujjxrSvWwZJBzl5WYDGPczkdGT2pOCsJMELmdlJfpTZuzjz7Clng2u\n2z334ByjoyYyaLe73dY1NV7ruaVLoaE9csSQOJuA+WWFk2NeWvrZZbD7xG9ywO3LqZRdFonyvGEy\nEdro6cGGTrnxzj72+HFzz8ksiLLtUylvtr3OTkxg/t//M+0oJ6cuyOu6tPyuzHk8XlyZI2XdqqoQ\n+XdMviMLFihBPhehBFmhmNmYNQRZPtTth/WddyKi9NFHhhQ0Nhp7MPZybWhwJzBwgYmMBD9A/SKu\nvPwsCTR7MxPhmosWEf3+9/Bs/da3MqNL8Tg2OPFD3RVR84sOy3I1NOA3p1r2W4rv6UFkj4lDV5dJ\nICJ9hkdGDBkNm8KafYz37YPcZP78TJIX1K8NDSDSHH2URI5XA+65x6QYX7/em8Clu5vo+ee9KYrt\n5ChMhN59F+OF28FVR/aAHh4212hqwpK/TdCITLvLvjp2zEQeeUJw9Cj6/NprcX3ZBpEISHQyiePt\nyK28Jo95CVffcx9wxPXllzEpSSQwdquq0OY//KFJz81puyVptqUj//ZvGCdVVZBxPPMMyKHcDGdD\njlm/8srIPYNXcGRCHDmOeSXJdoghgixn3z6vDrqmBps0Dx/OnGzYY4HH9Suv+E9C7LoxYS8vR7n4\nXmpooMjAQFG+g9XFQqFQKM4FSKcCaedUX2/cJeQDr7QUBCudBkH2y9TmB7awYgRZodnuDHLXO1tl\nESEy9+qr+Pumm7zXW74cRJp3vDPYAYO1ntKFwi9DWDRqIp28KYpJhE2q9+71RtXkg9plD1ZbG2y5\nZjte2C4O69eDtH7uc4gSy0it7NeKCqPnZamKbPelS6HlZKLzuc+h7EykuJyf+5y7brKM9iSFCISO\n5QSMH/wAE5yXXsL/VVWQPnCdpU6+qcm0u5/zhz0h2LbN637CZT5+HD880ZKZ6uQ129uJXnsNY6au\nDuTQFWnesCFzokeEdmTyXlqK99Jpog8+wGvRKK798cfGR1q2I6+EsH2iyyXFLod0/hgcdLun2OSY\nXWuuugok+dNP0a48jmtqjM5cRtIZJ04QnXce7m9ORDI0RPRf/2WOtTfYSshxTWQ0xvPmeeUnctPq\nT36C9zo6DDmOxdwrEgWCbtJTKBSKcwFyQ5DciR6L4WEll10rK0FQBgZAOJubM5McMHp6MjfJEZnN\nfDU1iP7ICBi7FfhFoSWRk5ue+AHOD0Z+OKZSKKfURcbj/uW1LbP4/Q0bUC7eRFhb601G4HKVkO4O\ny5dnOlrI5AbRKOqweDHIo985Xe3AUfZHHjEJHnp7vcT5xAlEQTs7ia6+Gp+1vYR5ExU7F3z0EdEf\n/2g2AXK9OYELbwaLx3H82rXeTVLsPGJvBDx6FNFiCdulYHjYOBgQmWtVVIDAc3+x6wYRPsuTFjtx\nDa8C1Neb/mfwxi97oievOTJiNobG46hDby82Q/7856afvvxlb/9w3eU1zpzxtikRxtWrr6L/ZL3l\nuYgw5jmphu2SYo8X3gC3ZQvIrp97CqO21kSNOc36mTPGvjGRwKoNb+JbuRKkmyPJ0SjOzxMfueGW\nybFMcsMbbOWGOknqKyuxKrB9uzf5z+LFJpseR9zlhsLaWm8K7SJAJRYzHCqxUChmNmaNxMIGR6K2\nb3frCu00x/wZ2yvXjqLZes9du4j27zdL4E88kanZtP1+5bX4b7nRqKXFHbVkNDUhMmlrYO3ychpb\n+T5LFpgkygioS2u8bh2cDWIxLBm7NNrcFs88Y6JfySSimJwSOGgpn+tgSxDk0rus19y5ICj33uuN\nXstlbDu9r2w7ljy4lsKJvJukpE9tSYkhv7GYSQduty1HJW3NtivV9qJF3mgjpy5fuBDL7bt24Xg+\n17p13rFRU4Nxx97M9sZIosxr7tnj3bja2OidgDU1gQwfPuxtu7Vr0W58DSJMmv74R0g3/OQVXHdO\nbc2+3q77LUhHz+MzGiW67jq064EDmfc4jwPWhHMUmMf8D36QKbX58EPvpjrWWct9AxUV+JH3gRyz\nLNuQ43rBAnMdTvcuU01zn/P/ckPhn6QWESJNNa1QKBSKSYCjfevWmWjvQw+BSLjIsSvNsZ+dmIx8\nVVUZyyb+zPvvgwyNjRnLKDsyKqNi7KPMxICvy3Zj77/v1kZK+7m33jJZ6Pws2BoacIztn8veukuX\nwvVAvscP/aEhaEs7OmC7dvQoCIIdFWRwPdg5IpkEcWJv22TS7eVrt7mUAyQSXvmJ7Ie+PmyK7O/3\nWoxJKzaZ3rexEcfU1aHuXI6NG0Gu7CV2LqOM8Le3m3TdRFhxYKcUHnOffII2LCsz7SjbTFoGcj14\nmb21FfU9edKQ/t5ekN/ubkzCfvADI9+orEQ99+833syPPAJyK1cvUilTHr7mFVd4CVp/v4mUlpdj\n8tXX5yXH3Ac8VufPR58ePIhNhPPnm/7bty9T9pBKmdTWQfcbr75I2zPuDxnV3bbNWC3Ke1xKfDjN\n+uuve23lZMZKPr6uDv/bnuRbtmCMNTRAimXfB7a9JNeV68YR4ViM6LnnvKmmW1sxmZarVw89hM8e\nOJDZ/gWGRpBnODSCrFDMbMyKCDL/IyN/Ehz5W74cETvWJ/b14QG2c6d5+HLkmbWrx455CZSMUtrR\n5csuw8YwPg+TYNeGvq4ukAE/fS6fu7wcxHzzZiSrCIoYyw2BfpFVljHI6BlHuGW019a/yoieS1ds\nbzhKp92b6+yNkJdeCuKSTiM6NzTk3TgpI/aNjaYvSksNOWlqIrr5ZqJf/cpdr3ffBcmXZIY15Lad\nFyMSgQ6cNdDl5RgTMtrsigDLMRiPE/2v/2U2dvHqAbtSVFZCAsGyAHY+kJHYpUuNNZntvOJanXCt\nXvzyl4ZsySyNjFjMtEMshmPGx72ypOpqlIPHnj32ZX8QgZgePOhuW0a2cWTXU7pZtLVhQtHba8qf\nShF94QtEW7d6nU7sDavcziUlOE9dHSZUN9yASc7IiPlsNocYtnbz22j4pS/BKePqqzFBCOPuIt0t\nUimKHD+um/QUCoVCMUm0t+PhYnsO19cTXXQRHu4bNxoizPpEImhJ+WHutymLKHMDmoxqEiEq19WV\nSXjtDX1EIISujXSMJ54wS+OnT4OsyeijXQZ7Q+C8eXhdprrl+tnRM9v9gT2LibxuAEw0pMesvQGw\nvR2JTvi98nK0O5HZHMhJL/bsQT8w4RwawvUnJkCQYzFE7Dg5ypo1hox88IEhZImElxzH46gzT4Jc\nkOTYZe+VTuNaN9yATWSyzoy+Pm9EPBr1Eu6xMZzDTvm8Z4/pW07VfNddJo2yn0+u3KBXX4+I5MCA\nuaZr9aKry5DjRALR1G9+05wnHidatQqEmcs/MJC5GfD0ae/mODn2Kyq85DgaNRNFiUsv9U5K7fGf\nSnn12EQmFbWc1JWWIhJdU+OVj6xZg8kI9zmnepeTmJ4eE6UeGzOyikWL0OccSeesmVdeSfTee5CR\nlJQQ/exnXsLtsvuzrfVGRlDPK64wVohz5ni/K+S9L9O8r1mDsV0EqMRCoVAoznbwknJDg1nSvOwy\nPIAuvRQPQXvjEB+XTHof5jbpZaRSSELQ1QXymUxCc8vLqu3tIBEspbjkkswNffLaAwNmI53MJCev\n58rgZ29Ocm0I7OnBA50IpOIesVLH9SspIbr4YpCe3/0Or8Vi2LTU1QXS2tWFJebHHzcWadu2mYe3\nJN+u9NepFB7ufLzc8MTuG9wPRNBe33ijWf63M52xDOW3v0V7E4EsNzd7l/THxkAsjhwhX0giu2WL\nkWEQgfAR4RpNTd46t7Z6yyw9qicmcBynGq+u9qZ8ZgnIBReY8yWTpm9vuAETgm9+06Qyf/llHBeL\ngcTNmwdyPD6OPuZ68GRnzhz88HiQ/Z1Kob0++QTHc1s1NEB6wuVOJnFddtQgwniQ2fzmzDEZ7k6d\nMhOMeDxT287gSenAACalNpnfuNE7CYnFMCZsycaZM2grmVmwrQ3yBPv+7esz45uvwxkN5f02Pu4d\nn+ySsmkTCDIT3Vtv9UqmZOprhnyfJTSlpWbjqJ2J84orvDIxniRwnYoEJcgKhUJxtoPtvh5/3EQj\nT5zAQ54jRG1tXo3qb34DYvX2296H+Zw5hgAlEiCBjY3YLHX4sHFGOH0aD9R0GhrPzZu9Uoz+fmxK\nIvKmX66txQNx+3aUu6TEZNtzkd/SUthUEYEYsWPD8eMg/w8/bOrP5Gj3bm9Zdu3yanMXLkS5d+zA\nA5q1w+PjSEzCabkTCa/Dha0rHRrCRKC0FOe0I6zyM+y6wBMKJtc7d4KEdnbiurb20tZ9s+769Gm0\n6SWXoA9t9PUZ8lhdjfPbzg+Mm25C/7HzyVtvoT6lpUbjzHrRLVuMu0BVldtHl4nmiRPQDCcSIFz7\n9qGOn3xiysbEUpJxSaA4Mjs+jjHDvsj2ZIpdOTiJCLtTsOa8rAyvDw7ivDymqquJfvQjRDa5LMkk\n+of113a7Ll4MMiujxjU1Jl36t74FIr96tVdDzPdVJAKyz2OR9elcJgZPkJhkSueWpiaUhcvMVnFz\n5uA+sScxPEHg+nGfyokRo7HRuKS0t3sdTFpbs6drl+/zXofSUkPAEwmvi4fd73wfHTuGNi0SVGKh\nUCgU5wLa2xHp4Yf2J594PYMHBrzL8L29iDLW1HjPc+CAIZfV1eYc997rji5HIliiJoJuUUo85Kad\nPXuM5OA//xOvV1WBLG/b5rU6k8uzkoScPGmWiu++20sCiUAWBgaMpRURInBVVWYp+4YbMnXVjFjM\neAEzMeVlcVfqZiJTvpERQ/J5uZjbq7YWutDvf5/ov/8bnxkaIvrrv8YGs48/NueT1mLj48YqTS5B\nb9xoltE3bzaEgqUSra3YvMZlq6lBlLOmBv0pnRe47CtX4pxMoqRXdXMziDHrQznCLdtZQkZTOcK8\nbZuXtDHWrMF5pc9zZaU5t9QHS91tayuIVUmJNxmG1OC//joI1vHj3klHW5uZ5J04gRUGJqFEOEdP\nj9m4VleHMSPfl0ilMAljH19uN5YV8ZjYuRPuGbzJbuVKkG0e0y6ymkoZx5L77kPGxL17UXZZH460\nPvusuWfZvSIW845P6ZnO5WPN/vLlON++fZiAPfaYcQ5ZtswrH7L3AzDk+devxziT7d/S4vb3ZtkH\nESZUhw4Zu8RiIF1kTMElzmqMT4xPdxEURYb28ezGTP+OI6J0urs7nR4cTKdvvjmdJkqnKyrS6fp6\n/M0/paXe//mnsRGfZdx6K15vaEinUyn83daGYwYH0+nycrwWjabT8bg5T0MDrl9Whv+rqtLp/fvT\n6W98I51eswbnHRzE33YZ5szBsem0+30uA5eHKJ3u6sI1idLpWMy8l0ym02+8kU7feSeOGRxMp5ub\n8V5NTTq9apX7/ETpdEmJ9//ubnzGPi4adX++stLU4xvfSKevvTadnjs3nf6LvzBtEIuZ45uaMjv0\nq19Fvbj/2tu9/ZNOe8tp92tzs3cstLaiHPL4/ftxjKu+9jjg63M/1tb6t5/8aWry9pffz803m/oN\nDpo+tdu7thbH7t9vxrvEN77h7atIJLOfEol0uq4O55Flq6/3fra21oz37m5v+/FPa2s63dlpxpjd\nbokEfldXm/5vbvb2vzyuvh5jk//nn85O0/bNzd46RSJ4X15f9o/dV4kErsH3IrfbmjVok64ujD/Z\nFtzW3d14T97LYeB3P3d3Z17b1c5ERfsOnpII8o8GfzQVl1EoZiXUqURRdHDmtZYW41t76pRxr6ir\ny5QHMPr7vVFPljVwel8i2HhxpIjlERyZIvJmdaurw1Lx8DCiwtINYPFid9TxyBGzGYx1yRz94r8P\nHTKRy0gEdX7iCeySX70am9Z27cKSfksLonEbN6Jd+JpDQybrGYO9WTkCL31+t283bhJ8nF02iZMn\ncZ4rr/Q6LsgMZIkE2oTtxGywPpTIm+WPyETX7ag5Ix6HnjyVgl7ZlVnxzBkTkd67FxKNM2e8GuF9\n+6AT5giine0uG6JRnPOyy7xuES5wVJOvwZD+zaxt7u0l+j//B1Ii2wHClsBEIqaP4nFYph05Yuzj\nZLRWrrSw7pfISFo6O71lnjvXRNQlenpQ5rlz0X6vvor/5UZFu53kBk2WQzH4vn3ppUz5DhHGI8uA\nuD1Y3iKj7eyKIjMB8gY8OU4bGjC27E2s3A4yOh4m2yZR5ooI1+vQIW82we5uEy3me01+pghQiYVC\noVCc7eDl9m3bvKl6H3sMxNPOQidRVYUHOXuWLlrklTUQeTcr8YY7ae4vta7s/xuPe0kBk2gXbBlE\nc7PX9SKZNJvuiPDwPHoUvrwffIAlYH7wX345CH5JiZuMl5Z60+um0zj2oouQiIIxPm5SF0twtjxG\nVZX3OryxSWpzZQayn/2M6LbbQOqvusrYcTU1gSDwBCEeR/t2dxu7LZukSjs4IpRLbpqSkx6ucyQC\n262GBpP1jYm0dIzg9r/nHkxEpG51wQKj5eWysrTj97/H30ePQhoQj6MtmfCUl2cmidi+Ha8xIY5E\n0LfPPJMphXn+eRBWSeykewVDTmBWrTI2ckRmU97gYOb55cZIbnPe5EYEmcqiRTjXnDnGgo5Juj0h\nkLIBHitM/GQZ+RiWjrz1FsqXbYLB40yOjeZmbOTktpGJTRj2OLXvV54o3HOPqSNLZNrbMRnl7wxp\nE8nX5MkLO5P8wz9gg19rKwi4rFc8jokgtwdPRMfHvclpCgz1QVYophkaQZ7dmFU+yAyZQc7OzsaQ\nUVBp82X7uXJWO46WrVuHByvrg2tqQC5ffRXvz58P0nb8uJdIzpnjdVWoqgLBu+IK6BrZm5V9Vtll\nwIYdVWpqAinetMm/kbh+vMnJlTxFZoyTZRwezsz8RWSI4g9/CIJrf9Z1LGtliTL9bv08rIlAQv7s\nz0AYBwdBPCor4WLAk5GxMbMRamwMk5UrrwS5lsRXoqQEkdT583H86CiIlBwbXV2I2Lq8azkzXFmZ\n0QW//jraIplEX/HkIRqF3/PXv24yJg4Pu/uC6+zSiTMaG7H6ITPmsb+yK/LY0GBSH3MkWUJ+Jh7H\naoKdtc8ul+yz7m5EejkT43PPoe2OHjXEv7MTY95FWKur4WDCY8Tlh2xD3pvsUxyPo468+e3AAZR5\n926jOXfBZfVnv873dmsr/LC5Xrbns/zO4fFDZIgz+41nQyxGdNVVFNm+vSjfwUqQFYpphhLk2Y1Z\nQZDlJqKSEhCjAwfwQNuxw/3gY4JRWQmiy9HFa67BA57dBqJRRDs5re1LLwVHdPyWRTs7vU4XnZ3Y\noMaJMkZH8TDmdNWSIMfjIKuJBOQK111n3lu71mRQkxuXJLKRLdkeEvPmQS5y9Kg301pVlTfdLpMT\nGzIxC3vHcgKWo0e9G5LKyoJJtiuS1tCAvvnhD7FSYMtHiPyJjwuc5re/H/1fX4/+qa42/r8ykQwT\n69deMxH+Cy4AAb36akSTmSyzWwoT7W3bggmbPaGywWRTbhTjcz//PAgaL9VLwr9wIY4bHDRjLJEw\nGycZMt0yj+lkEvXt68M90tqKelRWYjVgeNibrpnbkfuBk6a4CGskgqjsj3+M9n35Ze9E1XVfcWrn\nMCnDL7wQ1/a7D1wTNDkxjMUw7tmRg8djLAYyXleHPnv2We+EvLERTij2ZF1KloLQ1ESRQ4dmJkH+\nq7/6K3ryySepsbGR3nzzzcwLKEFWKAKhBHl2Y7oJcpjv4HRt7WdZpyiRcBML+UCqrUWkr73dHclZ\nuJDoww+9D+SgCKcf5NJ7SwvcK0ZG8OD9/e9BmEpKMh/a3d1mV31VFTKfSeLx7LOGzPAD+Pbb/Zej\nXSRRkqZYDESzogLLxRyZtLPp2WVkCcPx46jjxx97rcLa2kCo3nsPkwDXxCEMUYhE0LfsMSyX5hcu\n9E/kEWZiYGete/ZZTDTYuk62u61DdUGuQESjqNtzz6F9Jerq3LpaIiO7+P73vTpVBmfDk8RdYvVq\nd7+1t2NcMzGV40JOkCoqQPAfeAATj7o63C88EeX2r6sDKeY2ZtLIhJnIGymWbdPZacYao6wMdbFX\nfHjSKwkwv8b9Z9dXapClzMWF5cuh17/4YpS/vBz3+/AwxrZNztk147bbMCHiMeI3GWMiH4tlrlrx\n+K+uxvuyr/80sYosWFCU7+C8fZC/9rWv0dNPP12IsigUCoUiR4T6DpaJK2wSe+mleDDzAyYeR8KP\ndevMMZWV5u/aWiyjygdiS4u/zVkQxsaMRdizz5oI6MmTsIxykeNIBNrpl19GROrNN43dFm8kk2Xp\n78dxr7ziLkM8bvSp0mZMkkzWnVZUgGx3d4OAsb8wb0bkDVCsmVy71mS5W7DAkINoFGXcvh0RyA8+\nMO1p+wZzv9TUeBOqlJaCjCYSOGZwEG0po+dtbZmJPBixWKaF3/nnez1t2X95zhxMSJ54wiSz6O83\nCRuiUZPRT+pxbdTUoH8Y7JP9pS9lHrtihf95Tp6E3OCll7DJ0sbwsGnbJUswls8/H+Nk7VpvGWR7\nvPGGl5Byf9XUgFTX1aFvT50Csbz3Xkw+Xn0VdRkYMOMmEsm0C5Tju7cXkWAec+xDzti5M3PMXn65\nexVhZAT1ra/PfE0m42htRX92dUGD3NRkiKgfwayvNxk2WTfc0oI6cLRYXpcIcooLLzRJQ4hw7/it\nVLz4ote3mgjH8tgmwkTk9dcxxm+/3UwA7DFcQORNkK+77jqq9dOCKRQKhaKoCP0dXFuLyJ/9IHzn\nHe+D+fOfNwk/BgbwQGJiFo8bn2BGYyMevHYSgzBoazNaaHvjH++ql+AHZjoNQnnkCCJxP/2pyVIn\nfZoZY2P+kdKxMaOVDIqmRiIgiXfdhfaSGfBuvBHt9PrrIK5jY3jgc3KSeBxRUiL0A2eiY8jJxpNP\nIqJme94ODRmCFY+jT954w/RNezvKMTaGSGNdHYgL921rq1eWwimTJUZGTFlSKWhBDx9GOx865PWq\nvewyM3Fi396eHm+ykUjES2CuvdbtlX3iBIjrunUmYcsDD2QeFxWU5ehR6HlZ2y6PkUSsrw/JJfr6\njLb31Ve9k6FYDOXy6/+hIdTv2DFz7kQC0WbeNCknL6lU5mTGRioFiQ5fc88e76SMVynkeXbs8C9j\nba3Z9Oh6vbsbE9EnnzRpnDduzC6vOXrUZNhkycyOHWbsV1VlRv8HBjAxefttcxyP+Wg0sz2OHMnM\nGknkTRLz0EO4/sGDmABxeurFi4PLnwfUxUKhUCjOdnDaZJtMEIFs8kO1rg7HcJSqvh4PZJZkjI3h\nASsjoS0t2BzmsjVj+OlF9+0D0ZJpfImwpLtnj/fhvXw50XnnZW5e6utDtDkWg31WUDlc8Fv2tSUW\nra1mmVp+JhIBwVu+HFGzZNKQ/Ugk89y33IIIuF0GJj5f/CLI0/XXw01C4pJLQIrHxrztyXZvvAmN\nCBMWtivr6jIuDUGbFZkAx2Ig2bffbjLlSVs1IshC5MSKk3kwYYnFoD3+u78zG/QaGjI3M/J1e3u9\nMp1LLvEew+TeTrU8Pm6cHXbsMGOXl+alSwTDjqaPj2dO0PzaJplE9F9aopWUYLJXUWESk3R3mw2N\nrE22N6HKDIeffuqdZEajmRMYP/tATvO+bp13spVI4L7/5jfRXwsWGCca2zLOD21t3oQhdpmGh0G0\nbUgZCDvmsGTLbmseOx9+6C1XOm2ycLJGP5n0rlLkKuvKAVNCkDf9k7khL1p9ES1eXTzGr1AoFMXE\n1q1baevWrdNdjJzwvfPO++zB00FEHbbrwsqVJjOV1CoODXnJRW0tHlr8gJuYyCSstma2pQXZ4Vau\nzNx0deIEftgurakJxz34oHFWiERAOjjyWFPj3SzFWb38fJyzgW3F7Mg6b/o7dQqRUjm5kG2STpuH\n+pIlxjnAbzNib28mYXNl+/v1rzM/+4c/uOuwaBF+u0hefz9IdVcX6sN6dBeYpI+Pg+AwyWlqAlGR\nBJkdSohw3ksuAQH/zW+gPX3hBUT8pN/ykiXec0ikUiC6vb2ZriCsrybybkZkm6+GBq/TicxMaI9p\nHp9VVTjPmTMgr9dfj8mfS2ogJzAVFSDIPGHgsm7bZvTed92FCPhFF6E/2VmEr11ZaQi9H6SO+eRJ\nXN9v8rdmjVn1kYhGzTXkfemX4ZCxfDmi2zILIREIqmsy6YpqM5mvr8fnv/MdM86l9WEsZpw2ZMZI\nRiSCcfTJJ59de2s0SluDa1AQFMTFYv/+/XTHHXfoJj2FYhLQTXqzG9O9SY8o+3fwZ5v0kkk8tC6/\nnOjdd7Fk3NqKpdf16xHl8SNPnHDg2DEvobMjrRwt5mN4kxyRN8Jpo6EBJIvdNV5/3a1rtgm4X1Qt\nH/1qVBIAACAASURBVMhz5rr5sLERTh+sM5Vob0cb2q/biMVAoiTp5yj2a6+5SVxXl/ualZUgeKzx\nnExyhcZGRDclueWo4L33eh0nWNbBy/HSC/illzK1pkTo04YGENbSUrS/7XTAkgPZfrbFWHMzJksv\nv5zpIGJ7Qtufd/UzO5JIBwt2x7jvPtR9+3aQ8Joa6PnlpsUtW8w57XbPtkGSHU5efDFzYik38/GE\njCcHfJ36erS1q6/nzkWkfXQU99z+/dh0mExmkmJGT0/w90M2BNWXN3j6bZ6UsG0miShCVJTvYJVY\nKBQKxdkOfqgx4ZRRJY4C7t2b+fCLRBDBWrUq07yfYW9mswmwzMS3Zw+W4AcGvNZYlZWIvvH5ZRIQ\nLgdH3uwlehc5TiTwelDyE1cUjR/ifM5Ewj/iKSEf2v39+Nyjjxof4N27sXz8wQeI9jke8p8hGgUR\n5oh1YyPqHIu5JTIM3sBk10e2V3s7JivZIoisBWVC099vksGUl0OH/vDDIFE8aWKwxMHuQ64Ln19m\nDiwr88oPpFY6kTASnGPHzMa2jg4stTPhPnnSjJ977zVJPBIJ7+RBTn4kOXZFRk+fxk9ZGf6Px1G/\n3buJvvxlEH+ZhfH11835Dh2CfOi554xmXmJ0FP11+HDme7EYyr53r3ucSDLIDi3l5V6v7pMnzXlj\nMXyG6z06atp/cBD3rMzG2NVlkpusXw8JhZz0hoWcgPiR4/Z2rC6wFR1RMJnOJoUpIPLepPelL32J\nrrnmGtq7dy/NmzePHnzwwUKUS6FQKBQhEPo7mN0J5KafdBrRp699zex0l+CMdJs3+y/vuzZdSXDi\nA3ZzePddRIz27QOR+OQTEDBOI8vl4/LGYiAZ3d3GGku+78LoqJccyGNLSyEBsBGPIymJDdtbWGYW\nI8ID/n/8D68bwf33g1gcPw43gvffN9njNm70PuSrq70b8iYmzMavmho4GaTT3oQaNniFQE5gli1D\n9JbLHIuBoNubuFyorPQSlNpakNHmZkxynnzSEKowG734HDfeiDJJ7bKsG4PbsrYWfbJjB0jc++9j\nwjI66q1rSwvanQhj6rnniP71XzG2e3uhkR8eRuSU24QIY7OzE1FUV2SbCOe9/HL8PTaGsnz0Ea7/\n0Ufeso+MoI0uuQTvb9vm7w4RiUBTb7uWEBlNtB8ZlGPyzBmTHpsnc/G497MyK19bm9cPvL8f939P\nDyYdjz2Gcm/ahPb6139F22cjx9God0NmPI4I+ty5pr42eIJF5J2gzxBf+bwjyL/4xS8KUQ6FQqFQ\nTAKhv4M5WrtkCSJd8iH79NOZO8glOHEF47LLsIT91luInH3yiYnuLluGqBgfz5ZYHEXmh6K0kWtv\nh17zN7+BfVptLR64vEnt5ptBJNlzta4OxwX57ba2IrHC+Lj34XzTTdCn2hgbw0ambLjmGpCssjKU\nN5UCEWBCef757rTP8jqMSAQR9cOHvcfwZq2hIURPJWGwI+accpqvX12N9qupMVFcjmD6JRqprkZZ\nWEZg639ff904CNiQRIwjmMuXYyLE9eDNYpzpz689iMyk4N57MdHg9M8SySSuwSshCxfC5YATjMi0\n40QghHysnCydOgWSzO3b3o5yS2nLhReaeyWbPKWtDfZpXGbXigcjnTYrApEIxnuuEVoibxZIHgNB\nE5b33890nBkZwURHrv74lb2qCp+vqTGTku3b0Tay3cbGMHFsbcWKkT3uL78c9yd/N/BE276u/L8Y\ncqoAqMRCoVAozhWMj3t33vOD395Bnw0XXYSop8x8F4shMlhRYR5o/PDmqF5dHfxtT582EcBIBJ85\neBDLuNu24XgmC+PjxtKNceQIlrmDssBxxJut4ZhEHD3qrym2CaRrmZf9ZicmjG2YnFzs2IGoJL8m\n3R9s/bQkSX7IFk2z679qlbHACosbbjATGanVbWrCJEg6CHA2tGPHvMv2vBnzhhsQlZRtJzcyEpnJ\niwvV1VgpOHYM4+vyyzEZ+fRTjDFOLrJzp7luTQ3KKm3q/GAntGCHhiuuwOqCbVP33/+Na4bJOHjh\nhZhQbNgA0menjPZL+uKSYLhgE/SaGkz4nnsuOMuihN9mVjnRcfmPMzhizhktidzJYdiFw9bE19TA\nv5jBEgsib5vxpCGRgAUgr0TlMq7zhKaaViimGbpJb3ZjJmzSC0IkEqE0ESJuf/hD9sxpNuJxPKz4\nc1VV8C6+6ir/DXcSzc2IPsolcVckiHWHrs1U2WBbkBFNbjPaZNDSgogtJxLhsl94ISYCS5eCcLz1\nFuocps3yQWcnCFeQnVsqZXymOepJ5CUo7e0gqFddBXIsE8kEZUOT6YJt1NSAQFdXE/37v2e+z+TU\nPn8QOW1qQhQ+iDjZ4628HGT/9Gm0QTqNvmPy2NQEwuginZwR8cgRb6S8uhqTtvnzTXr0iQm0dUkJ\nzsUkzw9+2vRly0BMGxpw711zDc4r3V4ksmVftDX4jY1YWbLHcDbU12OC981v+o+39nZMhuz+Y+L7\n8MPeCdhPf4rVg2ee8VrrXXllZgruFSuI9u+nyNGjMzOTnkKhUChmAVwZxyTKyjKzl7GPryTVw8NY\n0g7KnCf1uTfe6PV7JXIvk/I1+LwuzSLD1uHa5FguV4fR3CYSbolJUBkYe/aYjWCSRLKbx7ZtkG4s\nXuwfpQ9TRhurVrlff+stkJagsh8/btqbo56pFCQwTU1ov1dfRR3eecdLtlxENZFAtHDePLffNRHq\n+MYbOKefLGhszH1+P3Ici+GarNmWqK42WeNef92b5ZBXEtjPeGzMkOP2dpxv5crM8tfWgqT+7nfQ\nxD/3nLlnTpww2R/fecfo4I8eRWR7ZATk2K+vo9HM1Qgi9OPFF6PPXn0V5zlwAE4d553nXYkhMvIk\nG/x+IpGpq+/vx7k5S2BYHD0K54k5c9z3TzSKPvKzhtu6FcSc9eKbNmFCdv/9ZlMoEfqJ9eRXX40+\nIEKZs204zQNKkBUKheJsB1tYBW0YSqXMRr3lyxEd8js+nc4kpZwdq7YWD67ubpCOhx/Obg1VVYXf\nlZXmmq5rl5aC8HA6Zf6cDWk7t2qVeaAuW5aZFjcWM7v6bWLhKoN9zOgoHtzptCEeY2NEv/89/m5v\nN+meXRvBWlqwXE1k2j0InBL5kksyNyq2tSFi39/vLbsky7L8kQjGRWcnytbTgwyBnALaRWwiEeOn\nTGRcKHjTmpyYSNJ0ww0mXfFkVjFkXR95xDgz7NiBOpSXe0ngkiV4/8EHiX78Y5P1b2zMTapiMZCy\n996Dxv7YMe812c+4txfj6NlnMemRk8Fo1F03vlcqK/3J/sQEtPY7d3ozzaXT8MRmAh+PI+Lb14fx\nxueTHseuyWE6jbGxcmVmlJo16HbZIhGMjf37TTp3iWQSftcye6UkthMT/l7P0aixfZQrPX19GIc7\nd3rPRYR+feghr0TDJvsFhBJkhUKhONvBu+r9Hs7pNB5MTODmzcuMoLnAhKStDVGz7m4sLbe0gHC/\n/36wzGHpUhDeN9/MdKlwob0dhGf+fJBeO2WzjfFx1HtiIlMfTQTSJgljmGVav01Cv/qVt32vvx51\nWro0M4JOBBLU2Ykl+z170JYffug+t5wIjI+DIGzaZNq2uhrtuHy5+1pcrzlzvE4DVVVon02bTGrg\nbAlX0mmQocFBkzbYJpy1tSCa0uHktdcwrl58Mfj8RCBjktTfequ3b/7yL/Gb+4LJHR8TiYCYbdoE\nyccvf5ndrm98HGTr+HFYtO3Yken3TYQxdPo02mlgwLiybN6cSegYbOnG49vPgeXMGWiKr7vOTC54\nIsBgJw0JSYR5DPLkkB1SKiu9DikSJ064N+TxBGT16sxxX1qK8fKDH0D2QITvAbbWy4aJCWOLZ9dl\n82air38d95DEypVE99yD8nJ/SFeeAkM36SkUCsXZDhdpCsLTT2e+Zus45f+7dmHjHkdCifCgzKYB\nXrCA6PHH8XcqhSVrRiIBUiuJzfbtIHKLFrk32rm0zRUVxqfXJhYcWWbYBJnPNxld9CefINLZ1eWO\noI+P45xDQ0ZTyeQ0mfSmP7YJ6MiIV8rwySdwfjh50rRXaSnIkuyDI0dAnFijKtt2MtroiQk3sVqx\nApnTGMlkuE1kqRQmc3Y/vfiit19l1DAWw+fk+eX7cgNqtuQcDNY8l5SYTaJ8fXscnD6NpCHr12Nc\nnjiRGdVknffKlWj7oPuCN7Z1dkKCEItllxHU1XmTifA1tm/HeV55Bef1c9QgMmmdL7/c2/6ufksm\noYOuqYH7BY/v3bsxiV25EtfOpoV2TTbHxjBJcSXT2b4904s9jE/5JKGb9BSKaYZu0pvdmDWb9FyY\njG2STTLsc3R3g7CEybrFG7uIMnfCy6QH+YCzsPGmPfnQLi/3esIyUimQCY7GsYuCjWyEiwl4UCY+\n+xxtbSAg2TKKFQJy81tFBchN0EqDX4IVF+SGs2xESZYnkXD3iavMRIggDg/7n5/LHIshEhrGBSEe\nx1gJe1/bGwXztSOLxbC6Id1ewoJ9hXk1qKsL/eDaRBePG3Ld3o7Vjn37QKjlmPTbJFlbi+vY7cTR\nf/l6GBeQbOPE1a41NRQZGtJNegqFQqHIA7wBi5HrQ7ytDZngJOyH4Icf+pNjmSAiEiF66ilE6UpK\nvESgvt5E2bIlIpGwk3jE4yC2THjs8tpEbO5cEIrLLjMP89pakyjCBms3/coyMIAf1pSyDlZCajcr\nKqBddpGiQi4lx2KolyQsp06B4Mn6sLSDpSzDw96kJkHnl1HSsORlbCyYHPMxEidOZJ6/tRVyjvp6\n2LfxeAprESblGmEwOgqpBVFhvHrHxxFB/d3vcvtcIkH0hS94N9Bu3Ig2co3T1auNNGrzZmiJt2/3\nkmNbqiExOOhvW2e/LqUffvBrc9aHu9o1myQoD0yJxEIjZAqFPybSExSN6Fy1ENC2DEBdHdwnOCmF\nnZyAI5lByQ3OPx+b7hobzUM0mz6SCEuxqRS0nQzWstpobAQRY6IU5JZhY+VKlLGsDCR9bMy7BMub\nFV2oqcES+ZkzhsjX1ppNhy7YEW7OWEfkJdivvw7rqu3b/ZMgsNOBjUgEBHvxYixhZ5MIJJPZ24zl\nHTbkJrNkEhHF3btNuaJRlOPIkWACKcmxrOPy5bBIY8lLJIL383UiYEKeSuFv1qdzNjvWxFZUoC65\nbhLMBpauEIUjx2ETg4yMgBjW1mYmP7GRSkHqtG6ddxyx1IKzLdqfYfcSIvdklD9/4YXGmSUbglYa\nxseDU637fUa2VWkp9NzsmR60QpMHVGKhUCjOGkzHZHxWSCzYkko+ZCsrEV0dG/MmeWhsRCSJNyJJ\n1Ndj81V3t1sjyJARxEgExJVTJmdDvhE4jnRJTSYRosOLFvkvWcsl4EQCxOSTTzLLHDSBsIlBSQmi\n7nV1SB5x++3e63d2YvNaX1/weSWYXFRUgMhLchCNYoNXrskU7OyH2RBmuZxRU2MmHStWED3wANFf\n/zXI3OioP+GKREB++H1efrej07EYtLr/9/9iAsbtKxPh5Iqgpf58zltMdHYiBXhnp1tO4Wq/RILo\njjvQ7+xBvGBB5merq6H993OkYKRS+E657LLgyVxlJdqwqso9ycwms7juOkyEe3uJxsYocvx4Ub6D\nlSArFIqzBkqQMxGJRCidTStbXY0H/6JF5iHI2l0b3d3wKb37bpBqWffqavgeP/mkuV4q5bY3myxS\nKUgemARWVICA2als7T7p6oJ1FKdflgi7CS8WMwQjKPrX2gqiceSIIWwLF6IdOIrnl6AjXyQS0HPv\n2mWSWSxaRPT8824CXFqKZXZO9lDsBCvxuFmCn8xEyNW33d2IgtrkMIjMRiIY43/8I8pUWYn+SSYx\njv02La5alZ0oMsJOegqBxkb0I/89mSj53Ln+9eb3Cjk+cploBUycI0SqQVYoFArFJJDtYXniBCKR\nnP63oQGEztYtRiLYVFdXB/2w66H0yiveB6if9VUYPP88SI/EddfhoVpWhof1qVPeh2xbW6Y/club\nsYeTaGgAcb76au/ryaTx+WVUVBgrMD+CkEyiXHv2QPvJlmaxGGQFTI6bmkBcu7qI7roLE45HHwUJ\nyRejo5g8XH456ltdjQmErR1nnDkD54jeXhAWW+u8bJl/XcNC6t7ZWWOyqwT2mKuqgosEEaL03IYN\nDd4yVlR4rdPYeYXLFI/j+OXLgyPpu3a5E3G4MFXkmAiT2Z4eTCDnzcNrYRLdSNjkmDf8tbcjMUl3\nN1Y8mppwX77xhtezOddrhm1HIv+oci7nyBFq86ZQKBQKkIOXXiL6/ve9S9USUqPqlxBBan4jETys\nXZHobJgzB+Tsggu80aNnngle4o5GzSa9ZctAgh58EDZcctNTRQUiyrfcYhKksHxhdBRa25MnQZRf\neQUkwRVlbm0FYdixw59YjY8buUokAhnGf/yHeejffTeifmxfJwl/NIoJycmT/pn4bIyMgPA2NJh+\ntC3tJKQeVOpUH3kEbcdJTxi1tdAnh3VYyDe6xxnZXO4pw8PQo+7ZA0L3+c8jiiyzBRKh7zo7sfT/\nwgvefidCu9fXB0eHIxGMhSuuyK8+NgoRleWNqB0dkEgRudvdvpYtZZG45hrcJ/ffj/unv5/o7/8e\nXspMnvv6kNGP78mVK4k++MB9z9srWTwxkb8ZySSO5/vGbwzluyEyABpBVigUirMdHPGRPsWMZcvw\n/ttvI+PY88/7k4RcH+LptP8Gt2w4cgQRsb17vQ9Bm5jbqXtffRXR2pIS/GaZwS9/6SXWp04hqvre\ne+bBzERxdBTRMc6uV1MDMt3c7E3H3dwM/fapU+EjZ+l0pi3ZSy+h/dliTUblJiZMprhcEIkYwl5V\nBV0oEQh92NTW//t/E/3TP8GOr6wMr8Xj0PxypLmkxJ1lTUImJ/HDBRf4v1dZmVl/OSb6+jChmTcP\naayPHMkcJ+3tIIKLFsG94d13M5f3mYz5RSVLSoi+9a3w90HYdnYlJLFRURE8xsbG4Cm+bZt/+aSb\nC2PXLiRisVFTg/Z6/nmkqX/0UZMOuqkJbcirO3v3mpWiHTvc5DgWy1ydmJhAuZubcR9y9L+9Has+\nRXSoCAONICsUCsXZjsWLQcgefhgPn4EBPAA//RSa3PZ2/L93b24JI1zaZpee1xUhy+a2wBm1bFso\nO5JUUZFp9cXnPnTI65xh4+TJ7GSHyVdZmSHORHiAL1+ODHr8IM91dz6jv99s7uMkD0yumMRlIwsy\nAme39/AwIn4LF6K9qquNk0S2TZGtrUR//ufm3GNjRGvXGsu6kRFzLheqqjC+gvTV7P388cfu98Mk\ngwhyMigthavJVVcFj2+uY10dzme3TTqdfQNkNAqyWF6OPshW9vJy9BfLMfz6wr6nXGMtKFKfSGSe\nu7MTEzyOODMiEYxzv/aS/syNjZhoXn99cB+Pj/uvsExMEH35y2i7+noTnSbKTadcYGgEWaFQKM52\ncORn4UIQmsZGoksvxQOWs1bNnevNZBcGLs3sNdd4/y8rc6eElpv4JDhKxhm1jh7Fg9Mvfe3QUCYx\n8CPeNTV4ABOB+Nn6SRdiMZCljz7Chi5+WL/xBtHPf26Ia20tNknlqvskMrZfRKjL2Jj54bK62rC6\nGpHX+nrv+1xHBkdgjx0DsZGElkmT1OhKpNNE//mfXpLS34804mFw3XWIOJaW+rfNW2+F3/g2GZw5\nA5s91+SFo9usW4/HzaZSm1Bmc6+Ix2GHxqm4mRxXVvr7WK9ebaLzLsiIMk+a2tsx1oJkMzZGR72T\npuXLMWEm8mq1WZ89f364yd7oKL4/7PGZizaYJV2HDuF+7+2FFKary7tiw5B2ikWEEmSFQqE4V8Dp\nhfv74c3LYCeIXLSiLS0gAzY4Qsk4c8YdRWOCbPulusowMeHWPLtIowvxOKJ6J06AuJSUEP3bv4WL\nTPGD2F4un5jwEqh4nOjiiyent02n3frmigrIBioqMvXHpaUgERyZY6JeXY3Iu5Q9nDwJ0uGKQkej\nmKScOoU2LilxS3Emg5YWkLBnn80cX5LgjIzkFiUMK12Q2LzZ3cZDQ8bzmcg7Mcm1PGNjRPv3Z65K\nyBTgNpJJoptv9j83j7FYDBMfjrB+5zvmnExGc2kXafk4Z46RSFRUEP3d32GS4CKnRGgrSerjcUSa\nJ5vMxjVx6u/HhM0l30mnTRsXcZOe2rwpFIqzBmrzlomsqaZravDbtfzJy5su4/+yMhAbmyTW1iLi\nOlVtEjaNsY3SUkRVs1nQySXepiYQC9uHt7U1nNY6EsEGrzAJP+Rn/Oo3fz4i2zYhkxZmRCCqjY25\n2ci55DNScsBR/ZER//LF47hukMxlMpASknx9s0tLUc9czyHHhV8q8myIxdCHBw74S338NvDZ0gOW\ndeSi2+VU73aadz7/tdfifv7Vr7x9/MYb8LL226SZrU/CbEqMx6FLrqnJdJSR0FTTCoVCoSg4JiYQ\nUT161GvHFokgetTRgWXON9/MlFN8+mnmQ3BszD/L2tKlOJdflItlAZwNLSwm+2BkeUk28BJ8ezsi\nffb1XnstXPplIrNp0ZZAZPuMH/r63EQjnfZGCM87L3cbOd6gKCH7e2LCS45d8oyxsdzJMROzIOSy\nWdRPmkOE9igtnRzBZnIaJiMekdFsy2jp+DikKq7PV1eDGPqd245yj4xkkuNoFJvs/O65J59E9Jj9\nk+3zszTLHoO33RYcLc52T954Y/Zo99gYNlRmu7eKuJFPCbJCoVCc7WCSELQcWV2N5fzSUhz36quI\nOCYSiHJ9/vNY7uRz5bqcumcP0ZYtbllEIoHrVVZi2biYiSpyxdGjIDXvvguHBJtM3XST2bgXFo8+\nmunKkKt2ubo6vLPF9u2YnCxbhr4M8qbmcnBSlCBIIhQmIs4rDNncGFzJXPyQjdyOjvpfb9GiYALN\nkBpx1/Wz1b22Fn3g8hYPQr7ygYkJeBe7+jESQVsPDARvXHTpkFevDl4xsTfMyutHo9CcuxCJePtj\nfLzwacFzgBJkhUKhONvB0aYgUssPyjNnDEGtqQEJ6+jARq1jxyb/wEqnEe0ZGoJUgaOosRgs1H7w\nA2g1c4nm8a53F1xJTiYLLrtLcjAwkHuU9LrrvBu+4nFskGxqQkSPKDPZiY0w1mlcxuXLEQ3s7cVy\nftBmMx4jNjkplNZzcDA4wlhVFexu4oeg8vldb/t2yCOy1c3O+pfrBrHBQThCfPSR//i2N+qdOOFO\nw8wb81pbwyXh6evLTOpSWuquQ5h6PfUUbP6CvM35PA0NmdZyExO4X1w673QaYy7b5tkp2KBHpARZ\noVAozn4wQcgmKbAJYGkpCNW2bZmkKoz1lh+uvBIRqOZmJGtoaUHmuVxxwQVw42hsxN9MgqNRLymq\nqvJ/6La25n5dIjykg8h8NtIlScPYGNFXvwo7Oc6At3Sp/zmiUbR/GIkIrwaEhUtLm0qB1DOykXc/\nhNn8Njzsb9lWUgKCZoOJ42Q27x06lFs/BskegnD6dPDkMoyGuaYGk4d4nOjgQaIlS8x7fqsJiUTm\nZjs7NTsjTL/efbe7rNxOrE1nN5BcvyeqqyH5CFodGR8393M+E98syJsgP/3003TppZfS4sWL6Z//\n+Z8LUSaFQqFQhMSkv4PLy7NHatLpcPIMRiwWbFlFBILx8svwvr30UuzG7+jwamYZ1dX+pKe0FL65\n27cjmnX4sCHFNuEZHnaTk7Vric4/P7i8a9dCemI/iLORJNac+kGeLxJB9jGO8p44AdszP+I2MRFe\ne5mrK4NcUq+qgjTji1/EORob0RZLl+LvMDZ5ucKVKpwxMoJkNnLVIJlEv/f3m3pGItDehhmzftHl\n1lbUXWpgL7vMkE3Zv2EimrlE4P3Od/w4CPLYGKLLu3fj9bY2/+x+1dVEDzwQTkpy/Djqa6d3l+Xp\n73dPzKqq0C8TEyDQctzV1oa7PhHG/vLlwROG+nr0TyJR1M3AeRHk8fFx+pu/+Rt6+umn6e2336Zf\n/OIXtGfPnkKVTaFQKBQBmPR3cCSCaFw2MnvkiPEjlRFE/wJlLufaGB4GGR4cBBn8938HMbQfdJdc\ngoclP2SZKLP109hYeDlGbW2m3zIREqOcOOH/8K6vR7rl0dHgB7FrqdtOuW1Dns8+t0z37IdCSkj8\nUFaGVNMHDpiJyMGDJlvaZJKi+CEWg7zkkktMXVzRz95eot/+FuPMFc2NRDBW7rgjN7kOa/DnzMF1\na2pQd3mO+fOhH+/u9r6+cSMsD4P6IFtZOjpQJ1e2Oz/wuLnwQn/51NGjkHfY/uRE7klcNIrNe5LQ\nhynP0JB73K5di42IYS0ZiTIzTUqUl+N+3LGj6PrkvAjyK6+8QhdddBEtWLCAEokE/cVf/AX96le/\nKlTZFAqFQhGASX0Hc9SF9cDZ0N8PUiJ9k/1QU+MfyWKEjWbaZUskjOPAsWOZD20/AhKPo+ws6WCH\nhPp6PNC3b/d/0B49CjKeLbvgmjVeT2ibKBUqylVVBSlJPJ55znQa7RN282RQ8hXGkSPoz5deCl/G\nbKms/Ujk+Diu98wzpu9dqcpHRkD44nH0nyub3OhoOPmJRCwGDTinqd62DdFUmVTlqaeILroIx0qd\n9J13BpM6V53tNtq2zV/6EIRIBOXatMm8Vl7u7du+PncGQM7eJ8H3b5C1mh9c9+ALLxDdfvvkvJpd\nGB3NT96VA/IiyB9//DHNmzfvs/+bm5vpY79UkQqFQqEoKHL+Di4vz81ijAj2Zn7JPmwkEiAZLkIQ\njcJujBEUbYvFEEmUOH3au4EwLGIxolWrsAw9MQECUl4OomXXqawMjhTSDi0Mud282ZsmudDLvo2N\niF62tEBK4keizpwxxK2szERTGTKKx+4LQYSlrQ39mS2DHBGWxbu64FTS0eE+Zu5c7+ZCl+yAiW1F\nhX89T58OT5JKShDF7OoKnhAMDiKDnMToaGYZjh7FhlX7OL+ovz1pjEYhYXjvPRBrbn+Z/CIXMsTw\n3wAAIABJREFU8IRAgvXOua4qJJNog7lz/SeNuerPOS01TzRyuTdsok80pWmn86LykZCNv+mfzMzm\notUX0eLVi/O5rEKhUEwbtm7dSlu3bp3uYhBR+O/g75WV4YG3bh11vPACdWSLiBIhEnnjjfi9c6d5\nPZHAg9QVfR4YgGRCIhoFSb3mGqK33zav+z0oOYmAK+I1GZw5Y/TNg4PBjhOlpSAzk/HFZXJjJ3CI\nxdAGNuFIJPCZiYngxAm8aamrK3ubRKPm2qzhlGUZGclMPBJEOHbtyk5oEgkQKh4nt98OYtPYiNUH\nmWwmmUSEluuVTGZG5/l6nPXO1Ta5JIcpKcEKSLbjYzGUcXwc5y/U8n00CokKEdrqggtAGNvb0V7b\nt2duSpw7F+2Ur91hrhO1Tz4JdhCJxTITBoVJ+iER9thIBOSaIRLXbP3TDxHlnygmAHkR5AsuuIAO\nHjz42f8HDx6k5ubmjONu/ftb87mMQqFQzBh0dHRQh4iQ/eM//uO0lSXsd/D3mCz97Gfhl+DLy/GQ\ntl0DwtgwMSIRRAKHh8MTXn6A1te7s/vlCheZqq52RyBzSTrg92C2CecttxD95Cfw3JXkQBIw+XpJ\niTdiu3o10fr1ZkNWEMJ4AueCMARrdBRRbR6H0sP4hhuIfv97jKPhYRAermtlJXyBs03WZKpl/mxY\n4hePg/CFOX75cm8EebIZGm1wZLm0FBOdyy8342zBAndUe9kyE3nNhwCym0uhVjRc5DaVQh1lhsVC\nEFa7zBMTn/VJBxF1iNeL9Q2cl8Sivb2d3n33Xdq/fz+NjIzQL3/5S/riF79YqLIpFAqFIgA5fweP\njmaSTr8d83/8Ix7QruX19naQm2xIpzMjTmER9iFrL9Pb9bEftGVlIJvd3dAOTxZ+5auqMl7GlZUg\n41ddlfvGKyLjCvLII+E27hGBcOWaxEXC5a8cj5u2Wr48832/KPSWLd7xw22QTBK9+KIpp5/0oaLC\ntMdkoqm5bOSU5JidMYIQxoNYrvCcOUN0772ZdXVNWnp7YVvX3Y1VnCDE4yhLR0emXGZiojguD1Kq\nw4l05DWLgfFxb9tNgRdyXgQ5Ho/Tj3/8Y7rlllto6dKl9Od//ue0RPryKRQKhaJoCP0dHKS9zPWB\nFo1i+bupyft6oV0U5PKqDdZB1tZ63TWqq5H6WdZXkoZIBBGvL38ZG8+k5IMIUfPLL0cdn3oqt9TM\njOFhQxhPnoReNYykhWFHln/96+DItt3uftHxsBgayjxnMonoZ309dOTZUkHb52PwRsK334ames4c\n/O9HfsNonyeDbI4K2RKVRKNwQLn5Zvzvp7m39br/8A+QVbBbhR9aWogeeggTI3bN8LvW2Bja6aWX\n3A4yYe3lwtqwEaH9+N5ob3c7xBQDbDsZj+c3CQyJSDpdRBM5gkbuh8d+WMxLKBQKBRER3VN7z5Rf\nMxKJUJG/RvNCJBKhSZUul6VSjubkGuXjaKVNAGtr8eB3RZ/POw8buc6cwXWvugrnKSmBLVcqhU1Z\nnCa7pQXL/NksyWpqsLS9fTv+7+4muv9+JO/wS1zhB9bf5otoFBMAP3lKMuklc1VVIC9+hNzWR08W\nZWWZPrVhtailpXD82L8/nOSjtLSwdnJE7v6pqDC652xYu5bo2WcxNvbvD9+mTU3YzJlMBk8Am5qI\nbrsN9nFnzsDq7oEHEIHevDm8Q0ehZCJ225SUYDJ55gwmlGVlhdszQBR+nP6pfhGionwHTwlBnskP\nD4VCcfZgIj1B0cjUJgid6d9xToLMG+eCCMpkicnatbB2On0aBHVszDykS0rwsB0cBCG99Vai//ov\ndwY/vnYqhQchSwxc2uSGBjyk589HZOmnPwWZOHTIEN5sqKnBg/noUUTFNm/GtTs7vRZaRCDwfpKH\nZBJlCIoal5QYR40g1NejPX/5y0yic8MN6MPeXu/ruW6amum49lpE4t94I/uxYQhhRQX69+WXveO7\noQFOC/akkCPyTNrq6/H3kSP+E0i/yeW8eUSf+1wmmbSP/5//E+RY3helpcbpYnwc8h2XTVs+CGq/\nhgZMFO1JGSPXyVc0ivtoYsJ7L61ahYmePa5d1yMiGhub3QRZI8gKxbmN6YjsThVmHUGWBKpQESaJ\n2lqc0xXl4qhsTw9+L1mSSSRtstDRQfTcc7lJQaJRpLPety/36G9zM6Jj772HenB0mt0XiGDPtXs3\nNqZNJiJbVZUZHee+CEN8Vq0ievpp/O1qw2IjiISzRVjYDZZhVirmzjV1DNp4JklaPI7z+p1buCJ8\nBrtezc3YJPn44yCoZWXQ3u/YEVxePndVFbIO7tjh32aNjaiT7EMmo0GYNw8bIl3tkEqB1Nt1j0Yx\nnpmQ5rqhLh5HncLq4f0g24LbSr52551udw8fFIsgT22oRaFQKBRTjxUrQMDsjHLFIPaDg25yzJFj\nImgrUylvEgaG/cDeujV3nfTEBEhJmAes3OzT1kb05puGHBNB/nH8uNmU1dCA5fUPPvAnx5yhLBYD\nAbJ1o0yOpQ6Vr3f11dm1zzt24LyXXYao+VSB68FWaDbicURmV64Mf854PFi/HolADsHj98YbkbzF\nhbExkNhVq4I36LkmhmzHx2hpwVg4fNj4gPf3E73ySub57A1jTLyHh9GXDQ3+E4r+/ky5RzY3lUQC\nx7jcWRobib7wBXfdGxq8Uomg+6qxMXMj4thYfuQ4EjFWekTeVSxu+7Y2kPgpSgYSBI0gKxSKokMj\nyNMHp8TCthLL/aRucu0XJZPHd3Vhc9bevYgMF7PtgpZ9ZVmbmkDqqqvhWeunpyxkxL2kBI4Qr73m\nPef8+YhchpWG5IoVK5BZcGKieB6ynOnPjxRyOxbj+vPng1wNDiJ6++67udnbRSLYEMeTOCmxcZXX\n9RqPLZbq3HVXpkxnOhCJ4Cdbm9fXY1KYq1THtTJiX1+Oddf9xBn8ciDiGkFWKBQKRf6oqMg9G5YN\nh9cyEfk/UOXD68UX4WKwbVt4sllVNbkUtX7lufZaos9/Hn83NGDZ/MwZSDL8yHF1dX5OHfzZSAS6\n4iuvRBpl2QaJhEl/XSy8+qrZHJmPvy6Do5YSY2PB5IrrLK+fzdkhDOJxrEowuXr7bTc5DnJ2SKdB\njHmlZc4cEyGW5bVfk2UfH8c9wjr2DRuyl33t2uzH5It0+v9v79uDo7iuvM9IMyP0nBESQgjxUEA2\nLwkNFoYYHESwkkVrW/LG2iTsxuRlbTlVSXY3hTdbu5tNvoodJ/5SZW++lKuch+3PG30OuNY4xMYx\nsgEbzCPGYBzjGGwDBoMQAj0B64H6++PkcE/fud3TI83oeX5VKkkz3X2f3f275/7OObHH3OeLPX46\n6HnS1RU9F3hfm9Kj62hrG7qEI0EY4mwUCAQCwZjCpUvevfWdMJQEHi0tyspEljY3TWsggNvmbl7/\nTnAi4MeO4Va57sjnRoCHsuVLulmqUzhsJoN9fWZCN9TQbToGG5uaQCQrGEQN9KlTg0vsEgigHKWr\nK3ZoNS994BT5REcskviHPyBh3bQJ5TSmuRmLQE6dijsE5Dgay4nt4MHERRnxioyM6DlnWWaJh8+H\ni8nz59W4k+Mk9XlaGt6n/HuW4CMmSH9fUQHw9tuJy2Y4SIgFWSAQCATxwY3MmBJ3VFSo/3NzUd8J\noEiGmyNVZia+lBNJHFpaUGrQ3Y0OeQSvFm3SGHtBRoY9YYPfj33yxhuxzyXCzklfPFbWUMhM+k19\nGQyi/OXEidjXDQbxur29qIc+c2Zw5HjJErQWehnbzk6zntsLMjPt58WKcd3ZiVEUvvxls05eB0/x\nTThwAJ3odu9GeUWsNra2Dm2OBwLu8aknTcI5TwgGcS4RCeXZMX2+6IQxmZl4v9bU4O6HHlUkGMTv\nu7pwXlDmx8pKgE99Cv8uK8M5ZkryUVCA4Rjr6wE++GB4FwoOEIIsEAgEAoW8PO/JBUwgsltdjS/C\njAy0BgEgOT54MNrJyomY9vV5i/k6mK35CxeQuBw86D11NpXlFmWCMpsR9KQU/f2YPOTcudhlcauz\n/pmXer7yiveMY2VlKDMJhcwZBkMhjJyQkoIESNeS6sdWVzuT2dRUgJtuUlvzFRXRiSr0RDQAaNlc\nssR8TTfifOmSfU4/9hjAO+84H0/Ys8e+gHKC0wIvVt/n5Zk/d2uLU1KOvj6srwl+P8Cf/6zkD8Eg\nznmyyFM8cdL/khW5thblRykpOOcvXsTFxd690WX09tpJLSWFefppgM2bkfhGIrggMlnf09IA1q/H\nNnR2Jtc3wSOEIAsEAsF4h/6iTk93JsFOUgbKXDVnTuysW34/wC9+obbP+/qwvIMHVQa1oepNCcXF\nGHViMFnvAJAoxxPv2c2ylZuLdeGkuLNTEQ+vMBErnw8tgF61of39SFKXLbN/Tv3+iU/YPz9wABcM\nRUXRYcx8PoC5c5Ek6WTQ77eT1kAA41u/9ZbzHLt6FbXemZlIwM6etROi7GzUqutEvacHE21whEI4\n9k7EmZdJeOYZtGTGska3tMSXYc6tTB1VVWY5SE4OwK23Yrm5udi2N99EslpX576Y42PD29bfj3Ki\nxkYkqkuX2sum8eDJX/x+DD3X3h495l7nYE8PkuKyMtxleOopZ43/2bP43enT5u9p0ZnojJ0uEIIs\nEAgE4x36C+3KFbPVKyMDX2YmT33aHn39ddTwpqc7k4f+foDrr7drGQcGAL79l2gmJ08qounzOYft\nMmHyZPWSpLBs992HxD1RGMxLmEcuWLBAfd7TE7/T0dWr0QuIJUtwCzoetLQg2aVx4lKA7m6Vvpjj\nypXoLHmWhQRab0dWFmbFI7mIz4fymf/5HyRXbkQqEsF0yjNnojWdLzy6uuxZDWk8KMEHLYaysnCO\nNTcDHDrk3he8P/v7vTuJxhOyzivIIdFkne7sRCtqXx/29803A/yf/6OyR3LJh9M8TUnB/uDpoB99\nFK3PGzfi/QeAdSBZRmWlkj4BYB/t2zd0h7m2NiU1cYucE0tSkZODFvdhtCxLmDeBQJB0SJi3kYMx\nzJvJKS4YBPjjHzHFLVlxFi2yk7JAAK16mzYhWSZrkFcnnLw8JGA9PSqWbk4OboEPRnOYm4tbw52d\ng4/8MJiMZJmZSHJ48hCOYBBJik40Y4GHDKMECpEIljXUyBam0H75+dh2r/XUxzlWODe3c2fNApg9\nG+U3erzqQACvyRdqaWkAd9wB8OyzyuJPcXSzs/Haic4sl5uL/eZFDuMFCxcimSe9tilZCYDqq0BA\nxQunPvbiyBcOYzztUAit5enpOIeuXsU5MDCgFq+1tdjGRx91DkeXjIRCg4FDWEAJ8yYQCASCwaG+\nHtPXBgIobzA5mfX2Avzwh/bEE0eO2I/p60PnpalT7Z97eTmlpiIxuHxZvexJ68ityW7Qw9O1teEL\n3UQe8/LcnZYAkDR40ZjquHQJNbSTJuH/upSgt3dw1yVpRWamIk4zZyqLH31P/VBW5t3aHYlEf9ba\nGl+kAH2cvYQDCwQUkSbMm4ekfOdOrENhIc5LABWnVydCPT2oZ6Xdj4EBe0KOoURmIfmQjvb2xJFj\nAJQZ8HFw6nvqq74+XIRxckySGV3bTsjMxHpv3Ypp3Ht68P8zZ7AtbW2KHGdlYb+RdbmxUc1pU304\ngkGzVn0wIPmE0zgQkhGz2wVCkAUCgWC8Y+NGJKf0wjVFoYhE8EVJZAzA+YXU24tOTm66X93Zr7Iy\ndj31FzFti6emAkyfjtIFr5rQCxfQEu6mdab+8Aq+1f/44yoqgKmfTNbMWLprIkxE9lJTAf7X/1KW\n36tXUSP81lu46HnlldjSAsK+fUhEdE1yvMkg3EALr9xc/CkoQMKlWzzffddutW5uRk00baE71Wkw\nuwxeFhDU79nZ7nF7AdT3bgsgJ+11WxsSWLpv4nWG7e9Hq399PVqITeXyOeZEwH0+5Wza1IQh2dav\nx7nldTehtxezSQ4VixZh0qD6ejM59/ujYysPE4QgCwQCwURARob6u6/PThxoC3bdOiSiJuTn2/9v\na8OXm9PL68IFO3HUHb/cUFGBEg5ybrt6Fa1f+/Z5t3hmZyMRIVJVXR3t4OR0LSdHqNxc7Ldjx/CF\nTiTJZM3Tr52Whg6FbiRZv87Vq+hQxXWnS5eilT8cxj767ne9OyhSWDYePSFekmbqGyJtt96qoiO0\ntaEG2rRQMMXa3bfPe3xmE+k1kVk9tboTaNHV1RXbSknfkxWffnPHSqdrhMNoMe/stFvVvY5BIIDn\n79mDddX7gUsnCHq6aAAsly82mpvRehxPrPFAwBxhJiUFnwk8pJxTXYqK0MK9eDHA9u1mvfOBA7ig\nGgEIQRYIBIKJgClTFBHIzFTEITMTX5YUr9XJKhQM2l9wJLf45CcTa+GhhASPPWZ/iZush9Ommc8H\nQAJBbamsRCt6c7O3CByLFpnjOV+8qMhdUxO+vNPTvUXk6OnBGMNuVlDdgkaxhumcyZORINXUqGyE\nW7faZQBpaUpO44S0NEWSOZmjdjgRNp/PHPHj4kVMqPHb3yp9OQD2WTzaULKUu9U9MxPj6jrF0yXc\ncIPKyhYrjF+8SVjy81W7iNS7Zaf0+XDhOTCA99nlyzimlG67ri72HKKQibt3487Ivn2x+9bnMxNk\n+o5Dn5d8QZ2ejvOF93dWluq3QMC+m7JqlVmaMmmSaiclAzlxAu8nk9znzTfRcTAcjibcgQBqrJNo\nXRaCLBAIBOMdDQ3o3MS38Nva8CVz6ZL9xVRZiY47XKeckoIxcHXLGEUi+Ku/iq8+Cxeat1MB8KXf\n1IQvZG5RMlkN9eQUfr9dx3jhApZz8iRu4dfXR8eeNRGFAwe8hbZqa0Ormynz2GDC2KWmIvk1tdXv\nxzrQQuaPf1Tf6TGJm5rsY6rLAaZNU6QxJwet69xi72QBdSJkZLnUHfhIVxyrL/Tv3XYJLl3ChcFr\nr6mxNkVUoUQVeXmxta1OoPoTcnKwrJ6eaGlOe7t53LKycKE2d240Ec/IwKQYFy64L5xCIRx7mme6\n9Zqgl687LsaSj3CQDCscxmMvXFD3QHm5Iqy5ubijQkS1shL7yLTo6OzEdhYX4zXq6sxj7fcjceZR\nNUxEuKMDdymSBCHIAoFAMN6xZYuZxJEVmQhKdjaSgPZ2+3brwABarPSX+MyZeA2uW9bBX+aTJuEL\nddo03FYl0Iubfvv90SRNf6FnZETrMPv77e28ehU1lefPI5ltakIrsql+BFoY6IRr4UJcJOjQyR1Z\nC3V42Ubv68N2Up14m/W29fYqksvr8PHHipyQJlXfOj9wQFn4OjsxdjNZWxOBcBivSWPoRP4WLkRH\nyljaYhPxbGlBshwMYii211+3zyMiXh0d8enMCRkZ0bGiOzuxL01SkKws80KguxtJIyXL4VbYqiqU\ny5C1NjUV+6OmJrpcjptvxvjR+iIzlmRDv6fKyrAsNyuszxdNYikWdV0dEvz77sM6FhbiQuD//T9n\nq3xGBjppvv++c0zk1asBPvtZHNtAAPvpkUfssZDjyWY5SEiYN4FAkHRImLeRgzHMGyE1VUUZIEtT\nfr497JZTiKdwGOD225Ec790bO9kGWSeJhKWnI9mg2LlHjqgXsVP4K44pU5Akmoj/UJCfD7ByJSYu\nIN00hbe7ciU6YkZeHhKWU6eQeAKYw1GFQu51pf4AMIdkA8A+J4t/JIIhvFavxvHSSZsplJ/pu3AY\niWq8YeRuuAHbbLLgrViBcakbG93Jb00Nzq2tW3HLvagIiS5d060NOurrMVKDl3akp2O9SItP8zsz\n066t5eNgCgeYn4+WVZ5G3K29RUXoaNrUhNfLyUGim56OSXRoR6SwUDnVAqBj5fHj2C9ZWRja0DQX\nCfGEZaMsenv2uKd8N92PdXU4B6uqFNnVj83NNS+8+HzXMWlStLNgfj7O09deU9f/SzslzJtAIBAI\nEguysNKLn+K+AuCLuLAQ9Z4mLF6srEBeMtFxC2VWlirHslBrSC89PYGCySoXCKBVMNHkGADJ5q5d\n2DYAZY1salKfcVy4gMeTFT0/30w0OjrctbBkNc7Kcs68x615H34IcM89SJhNFk2yIlKCl9tuw//z\n8uzWt0BgcCHpDhzAukyaFK0F3r0b4MknFVl0smju2YNjn5eH5K+jA8ebImCsXGk/3u+39yG1gxJh\nkJTCKQRaTo7d4lxcbO+LUMi+K0HkOC0NE99wS3ZqKl6DOwHSuHH9LkcgoKQf3d2K0Dc12S2uzc1I\nOqm8fftUZBOKPEHJWUyIhyySbMeJHGdlAbz8MpJ7fZxfew2jX1CbAKKJ9Cc/GX1eOGyXT+jQyXFq\nKt6XusU5yYYJIcgCgUAgQPKxerUiy/T7iSfMx+/cadfBuoFISEUFkqHubmdy299vJwv9/XZiMmkS\nxiAmcClELGcsL8jMxJdxa6uKyQuAL+nrr1epsqlOfr86PiPDuV2BgLMWtrISYP9+lbjDKfYutdXv\nR2K+dauzBpOISns7Lkx27cL/9dTa588DvPSS+Rom8LFoa0MyY7LycvLiRGTa2pAkXrigyOKZMyoC\nRmamIu8+HxIrTsAmTcLxSEvDhcDFi7iocwop2NWFpHfnTiTJly7ZydiVKwAPPBAdFaSnBxcEvB1X\nr2L6ZtLiRiJ4P9TX2+cnwefDdrqNF/VtVhaWtWYN/l9ZGR2akVtfEzHvndDdDfBf/4WyCn3h1tIC\n8H//r7M0x+fDea3Pj5tucs+eyQl1To5dCx5P3O4hQgiyQCAQjHdw7R5Bt+r192OKYN2StXq1/YXF\nLbpcB8uhW/A+9SkkDtu3K8KTnR3tBMWvT2VmZGCs35oatGLV1WFdCwpQE8x1mGvWeA955gRedyJE\ntNW/cycShfPn1Xd8S7231/wCpwgEJi1sYSHAtm1I9JYuxc+ISPN+D4WQbNTXx6e/PHsW600kprLS\nrv/m7eQgZ0ZOZLKyojXbPHmJU/QJ0/XpOm4OdPv2KQJrWbgI4ZbO1lYcDx7ZobkZLdOmnQdeD0oB\nzserrQ1g7droNjo5GX7rW+hM5verHYRwGMkr9QXdc7rDHE/6weuXkqKsxE1NeO/+6lfu1tJFi5y/\nc0sJ74SUFJVkx+8H2LwZyfH119uTusQCjRnHwoUAv/kNym/0CBsFBbhIJEJdVIT9qqeRd4tekkAI\nQRYIBILxjnPnUOvIiZWXrFTBoN17HcBOCAOB6JdzdbV9mzovD62qRA4oU19XF163sFC9jFNTkZDl\n5aEuMiMDLYPf/S6+VD/6CAnf7t1oveIOU6mpSKS9ZFTz+5XkgCM1FckBEQqSJ1DmwNRUd42p03c8\nAgFHTg7AZz6DZcyYgRbQ9HSA0lI7EfH7MSnIrFkYro4spF4c/6hOFRU4/kePRm/Pm66zciWS8fnz\n1Wfd3WoBtXAhjhPNDcqsRvGyTSQmNxclFfX1KtnJ4cPOixqu7zWBjweR2Kwse2i8WIhE7AS4pQUd\nzzgWLsQ66mS+uhoXPf39OHYLFuD47N6NxLu4OJoEUr/090c7jAJEOyT29qK12w2kfSfQ4iYzExew\n+qItJyc6mgvHwABqnvPzlVa7vR3b1d8fP+EmTJ+OC4h167BNus6+p0eNNzk26k7APp9dEuQ1k+Rg\nYA0SGzdutBYsWGClpKRYBw4ccDxuCEUIBIJxgqsDV0e6CknDSD7jvDyHAcCy7r7bskIhy8LXj/3H\n7zd/HgxaVna2+TvTT0qKZb35Jpa1YoVlTZpkWZMnW1Y4rI6pr7estWujy01LM9fD51N/19Zig+j8\nykrLKipyr9OKFfZrULmrVmH9YrUpL8+yiouj+yElxXx8WZll1dRYVn5+7GunpmI9VqxwL5/+zs/H\ntre14U9amrdxCYUsq64Oz+FzYNIkHK/iYsuaPdt+Tna2ZZ04gf1dXGy+bn6+6n+9P4JBy8rJsX9W\nVGRZd92FbS4utqypUy0rN9eybrkFy6qvN88Bp77mcygYtKwbbrCswkL8idUnCxZYVmYmzg2/3/ne\n0H/0OXPbbaoOqan2eZKbi32+bJn6LCPDsgIB1S6v5br90PX4HDxxIvYcLCpynkPp6XgNutcS8ZOd\nbX8WxPpZtQr77+677XPJMEeS9QweRKBGRFlZGTzzzDPwD//wDzGPfbjt4cEWI5gAGM8RDgSIFJ9s\nViUDnp/DR4/aLZjcy13XB4ZCKKs4f957ZAPyyP/MZ3BLla7J9Z15eQC//z1aiYJBlEaQNdLk5KdH\ngiBLUWMjxnV+9FHM3HbmjDpGj3pw8iTqHXk7+vudw0vp5etxlgMB7DfdOhkIYB+QxrSvL9qbPycH\nLcNk7SPJhpP11O+3j1lrK2qOGxrQqmaKcqEjNxejI9x3H1qpSceakYERSJYvx+voc6CrC/W14bBz\nuK7WVmUN1Xcjenuj63fjjTgeet83NWFosKoqlOB86lPYx5mZWK/rr0crM81Xjv5+HKdQSPUr18ma\nookEgwDPP48yExpL3bpvitoQieC5PCPknj1qLuTkKBlLIID9Hg4riUplJVpzaS6ast45IRTCcvju\nyIoVuMOwe7ddunPuHB6/dCnOFxN8PpyLJslPSgrGQV+/HtuhR7WhtsabXMVrlkTCzp24q3Llin2X\ngsbTNLYJxqDfWvPmzYPrrrsukXURCAQCQRzw/BzmcVYBFNlIT492eAsG8eX05z/jZ7m5SgIRCkU7\n6gSDyiP/3Dn1MtN1mxRbeWAAyVOsFyx/+QWD6Ek/ZQqSinAYt/6JrJSV2bf7AZAE9PejbjceUF+Z\nXr6UdRAA+6KmBonnjTcqh7Nz57COfX1qez0nB0kexZulrfrKSgyRV18f3a/9/dFE3OcDePBBXPCY\nCKOOzk4kmL/8JY5pXx8Si8xMgKeespMPjkgE58bGjWqcQiF7uvGUFHVuKORej+xsgIceco7u0N+P\nRHndOpyPlMDm449RkkFt1fXpADhOPOUxbf9XVpqlAL29SP6dZALcMZPjxAl7FJPsbFWvNGpCAAAg\nAElEQVSfQECdEw4jsVu8GBeB+/fj99zhkODUH6EQLpxIBtHREe2kt3s3XlefIy0tSH4pwghHQYFa\n5NF80PFXf6V0601NWEddcnT4sLcU3uEwwC23mL/z+/G6NO+dYkjTHPP5cF5Se9esGVz0lTggZh2B\nQCAY76Ag/k7ONeTwlp6ukmpcuIAayg8+QMtvfT2ShIMHlWNeZaUiTfwF5/ejNZCTEK/xbAkpKXjt\nmhplbW5tRW3sli2o36SX5blz+PIEwBc6Wcibm5293k2Z/Hw+RUSIDHCNo56EZP9+JH5EeHl7s7Iw\nqkFJCV7rnnsw2QHpbuvr0TnvvvuwfznJc4JlIfn5059iH0t15LpOuoZT4oypU5GU5eUB/OEPqr1+\nPxLVY8dQB80TuQQCKlSbE7q60Fr9yCPupOb0aaXfBTCHB6urQw01n4NUdnY29in1bUVFdBmUrpm0\n8DosyzlrYmurGuOuLlXPvj7VV4EAHtfRgX1P8Yx37sR6FxSozIW0OE1Ntaf57ujAuXvxor1eZC0H\nwDafOROtwaWQaE1N9nEPhwHefddMWMkxNSMDFxDUxvx8JMvUzhkzAN55B8m/k9af1yc7G7XmJvJL\n2mayug8M4Lk05nq7brlFJShJTcV6JjlZiKvEorq6GpoNIvL7778fbjM5ODhg6wPKzD935VwoXVka\nRxUFAoFg9GDHjh2wY8eOYSsvEc/h79O2bno6VAFAFX0RDKotXz3Jgc+n0iiTcxgAvmhnzsRMaYcO\nKSsYP7e/H+B//2902mpqUtdOSVHKwVgYGMAXfWamssRmZGC4MiLDBAoJpm8He0k4AoCkY2DAvg38\niU9gEoTUVFVfXu/ubvxZuRLg05/GxUdPjyqvuxvge9+zJ3RYtQpg9mwky42NAPfei/2qJ0zw+XBr\nfmAgOoRWXx+SLrIeeulLwqRJSCydtvbb2pB4NDVFh89bvBg/mzNHOU0FAoo0HziAfdHXZw5T19yM\nZDYYVO0tKkKyTn1GbSGipltHW1vxmPJyvN6MGWhNp3Hr6sI+37wZpShHj0bX4/Jl/OHSHAD35BrZ\n2Xjtykqc/01N9r85zp+PdswDwLlPhPeVV7CsSZOi7ztuveb1iUQUuQfAMaS/09Jw7uXm4t/Nzdge\nLl1auhTr29iIuy/NzbiAaGvDxfP+/dgvTU24KKXwhTqam9X80fvM78c6dnbi/O3ocN4pIpkGJWCh\ndtPihF+XnB9vvRXg9GnYcfUq7Ni505uT6hDgSpC3bduWkELWfndtQq4jEAgEI42qqiqoqqq69v8P\nfvCDpJaXiOfw9wHwRaSTRXrRmbKEWRYSsQUL8GXW04MxXzdtQksy6Td5WmP+cv/DH5BUpacjyeQv\nQQ5OYomIECgBREcHkq+VK1EbyVNS9/dj/S9dwhd+UxOWNzDgbLWurMRjSKJRVYVkg8r2+VTyj9zc\naC0yaZ1TU9Ezf8sWcyxYnaR0dysNbkODSo6hg/qe9MkVFSh5IU23Kf0vpd+lNkyahCST9zlFBTFp\nsH0+XGT09mL/ZGbicZEIWqzJYkh9QfpmssTOmoWZ9VauNBPklBQ74aJwXpTVjhMiLifIzLRbK3ft\nQgLX2Ij9r/ffnj1ojT961HvqbE52OWEtK8MFwUMPoSwjPR3ndSCA1u7UVByjy5fVfRAOY78tXap0\n2PpCjeYE12nT3OdjnZ2NlvfMTLwHt2xRx1MdfT4kxaEQLtSefx4/18k+LXjCYfQVeP55HIPMTLOv\ngWmx8NJL6p7KyMC+/t73kPC3tdmfBz6fnRxzMl1UhElGNmxQKeA56NjUVGzTxo1Y77/s1FQBQFUk\ngv/v3AnJegInhH5b8axgBQKBQJBwuD6HKQGF7gyXk4NkQw9fxWMQl5Wh1YheZNdfH21pJm0tx8cf\nIwG9ciWafBOCQfuWO5G7zEy85tNP44uRyBdpIy9cQFJw4IBqW1MTShdIi2xZ0YQ8Kwvbu2ABkjsA\nJCEPP4xbuEQiiKCuXInb4RxFRbhVXlyMVrJ9+5zJ8alTaqs4JUURhqwse/IOE8Jh1CeXlGB/cEmI\nrsmlz4hwRSK4mNHbf/Eihu9yihHc1ob9+vTTaIWtr0ftty7RKC7GMHnr12N/Xncd1nfKFHVtSgpD\noLpQGL+ODiTSnZ14TT2eNqVA5+Q4M1MlSGloUOPFLYktLVg2ZXcj+UBOjtLSc0yZgv2yfz/Ox+3b\n0Umtrg6J35Qp2M7ubtQgnzuHZLe5WcVdprEJhXBXpbzcnuRj1Sr8m0spdCxfrmKFU/KRri6cpz09\nWDafZ9Quy8I+bGnBHQ8niy23ap88qWQYpmQ/L7xgXlz29Kh7PyMDd5I2b8a6c3BpDOmMSbNcUYH3\n2vr1AM89pxapfr96DnEH4l270HJcU4P9m5eHz4ZnnlFzNEnwWYNkt8888wx861vfgtbWVgiFQhCJ\nRGCrwWPS5/PBQxcfGnJFBeMXEsVCMJbh8/lGzEjg5Tns8/nAWrvW7tGenq62uUtKkHTQi7W4GJ3O\nfv97jGccCERbePRtYYDoCBIE3XrmtpW9cCESDrJS1tcraQcAviR5O2pq8Fr8M708vV61tYrY8PYQ\nqSZQpIetW5WVMjcXieHJk8qCRtrhRHjVkyU/FMKEFc8+Gy2/4Jg+HaUCVO+cHOUYds890VEMMjOx\nf7jeeeFCtLbyPtP7vapKWZ0jESTNtE0PYJ8PwSCOy2OP4eLq9GlVDkVOMFksa2pw4dHcjGOWlaX6\nnSKr7N+P7SWnRwBcxNx4Iya5IeTm2snklClIBMn5TV8o8voXF+PChiQahw+rawWD0dE5SGayYQPu\ndhARbG/Ha6SnI+HUM+jl5KDlmcqtrVXSkKefxjK59bywUMkiZs9Wi0JCZqadwOq45RaVeOPtt+3W\nfJJoAOC81h0CnUDzpL0dSau+q5GRgX1Lz5aMDJw/R464W/f1nSQCl1CxOZqsZ/CgLch33HEHnDp1\nCq5cuQLNzc1GciwQCASC5MHzc7ix0W65IiJXWYkvTXqBBYNord2+XaXkzcy0nxsIKN0xOclUVkZb\nxhYsQCvckiX2z910g3PnqqQI+flIhmpqFKFrbLQff+gQfsb1shRijaA7j+3ZYw8/BxC9xT9pUjQ5\nptBdFKps61ZFXsrLVRY8HVlZ0VnVTFi9GqUM5Ax59mw0OeaRLsJhJEq83mRJ3LAB+6W2FvuvpgZJ\n0KVL0c6Ac+fasweGw0jqqqpU32/erKyqL7+Mx3CSqWcTtCxl+eflPPOM0i/rDngvvohyBtoB4IuS\nN9/Ec0tKVDuXL0fCe+pUtARG77fz51XYOj1yRG6ucnwjjTsAkmOegZDaVlQUHQGDtLwASHCrqjAi\nx6OPYns5OQ6FsB9PnsTjALD///hHJPtEjgHUwo4WfYEAnv/YYyh1qq1FHTZZ2t2SozQ1ATz5JLap\ntVVZ7P1+/JscYvU02XpWQY5XX8U6l5WpnSB6JuTn28lxbi6S4927VfucMuLl5Kg+pvIrK5XTJUmv\nkgyJYiEQCATjHeGwsmzxl9L77ytiGwyqOK30AguFUH5AEgq/H8kgvfSuXFGpcPWIAaWlSGp4qmKf\nz27NTU1VWeqorPfew3Iocxdtp1M7iPCmp6OOMRxWW9gASq8JgC/pkhI7oWlpUQTZ748OV5WSgimA\nT52yk2NyRuOLA7KYlZQoD3vCihVK/kHH8cUBJ8vhMF7/7/4OCfytt6KVTweRmmAQ60Tb05zERCLK\nkrl5M25jP/ecnRhS2ZWVAI8/rjLzkUSALwIaGtCZsL3dTopJBmACXZ/GISVFabqJNOu7Df39KnQZ\nAM6nWbNwoUX683ffVcc3N6t5wdtWXh6dShsACXh1NX5PCIdx0XPgAFqOjxxR9aOQbjk5KvoLzScK\nRQegssyR/OjIEXvf8bqFw4rs33svRngAQHJ75oz93uMpwckxk6JhUCzszZvRmZSHHjTJnQh8MbVm\nDc4n0g23tuKcu3LF/ozgllyd0DY3qzTfejhArkemxSXNh4qK6GgkHJcvq3vm5ptVVJKiIjz+vffw\nMy+RX4aAQUssPBcgEgtBDIjEQjCWMZISCy/w+Xxg3X03bhUfOoSpoXlq2kAASeesWYpwcbmALh0g\naxb/vLgYrUhkwaZt+HAYX2IVFQAffqhe0Ckp+KIrL0eHJCKiJplCIIDXobTDdI0VK1AGQmV8+ctI\nwsiaWFxsj6hA0g7dQa+mBvtm6tTofunrw+sfOoTh2I4eVWS5owPL9fsV8ae6p6aiRRggWp7Cr03H\nOjkTFhSocGF07OTJSIp4woqaGrzmoUPY7pwctCCHw0oq8Kc/2S2txcVI0Kj/KPnKvfcqK2ZeHrav\npUX1O0kB2tvtMgsau7w8gHnzsA6hEMZb5mXyeaKjvBzgd79TcoW6umiHQj6O27ZhfY8cwTGhsINO\nTpNUfwBzXxEaGtBKS8STokPwe8RJKkRSCKofAM5Nnw+vSeVw2QpHTg4uBn7zG7RC630VCuEOA12H\nZEfBIN532dm4eNu+3TlaSU4OLlY+8Ql7P5mkUwDxRUzJy7PPM78f76vycvs806UoL76o6ltQgHOO\n+pDm8caN9jbV1wOEw+D7xS+S8gwedCY9gUAgEIwRHD2qXuzc0knRELgel4eKAogmrETsOIF+7jl0\n2CEikJOD5CYjA8nH7Nlqa53OSUuzkzwnDW9fnzlu7+7d6qVJFk5uGd22DQkAgZzLtm1D4kHH/eY3\n+AKuqVHHcu3nqlVIjGjLHcCu2TQRiqtXkRjX1pp1q7m5SAByc9Ga7aYzfvddlCf09+N1z5+3W/Ii\nEdUGTrqob3i9idTxBQwA/ibNMY/+0NER3b7nnkNL7KZNGBN3+nS0+GVlIbHj4ce4lTwlBb8/dcqs\nE+fRCqguZH3lmdv4OIbDAP/936r/9uzB31R/Pk7UV48/7txXhKNH7e02kW0TIQuFlO72+HEVInHz\n5uhjedIRjs5OnDsdHXjvLFmCi0taROn3FmWWJAs0gMrsCKDuK9K3p6biubfeat/RSElRbebWcTqe\nE9PCQuwTUwZM7sRHGuu6Onw+UJ35wo0+W7hQldHaqnamaI7q2UCzszFpzvr15n5MAERiIRAIBOMd\nRDQoc9uMGfgCopcPz+h2223enXQA8OX7wx/itQoK8MW5ZYvaZi4tjZYL9Per7VGKdqCTY7ctfAAs\nj3SIRAJbW+3kiUfIKC9XFtPGRmwr6aR1D3mSHJBTEFloAZBoOFl8/X4VKYHkC0eP4tYwSUMqKtDZ\nrL4ek7A4ZXQDUHpibt3MysItfu7NT9/TOHP9Nq83kTpdDkK6WX48gJn8U9Y72uan4zs7MQwY73NO\nIgMBDC3GE4EAYDvefx8XUXV1ODcLC9FSfvmyytxGIe8qK9U4NjTYFxdtbYrM5ucjmfT7sYyaGvui\ngN8TNI/mzcPvX3stut1ZWSih4BIGXU+/YgVaT/v7VYhEruXmcEpUAoALqptuwrrwbIc5OUg0dflL\nS4tdfkIJOHhq5kAAf65eVdIIiqcNoI7LzUVSTmPE9eAAeB+9845zFkA6lsYlOxv7jOo8f74Kw8fb\nQfpyqktvL8Bf/7Wam/QMoT6ndOhO9UgAhCALBALBeMeUKfgTDiMR/MQn8AXU1oaEcsECfHH9z/+g\nIw8PFUUvONJh6ul+MzPxOvylRySFYt/yDGSEYBCvdeoUyj4A7BbHU6ec9ZSpqXadKSc7RJ4A7C/d\nkpJoiynX2jY1IWFoaUECUFeHhIh00JSIpLvbHie3pkY5z/X34zGkmSRHtY8+UrrJ7dtV4pVw2B5+\ni/qWfhN5e/111X/d3Rh+jOpKGuuqKpWpT693fb09FBelI54xQzmGUT9kZioySm2urraPBaWirqqy\nL6Z6euznc210T49dp0oLhgsXkOjQ3Dl9GmUxbW34fyCA/fWZz2BdaAznzQP49a+j50Z2No7J9dej\ntZ3IKo0pkVVaJNE4AagkGH19ai7S+PAY1pRi/OabVbk+n10mkJGhYklv3Yq7Kxx6aEUdpOnnVtqV\nK9V5FCqQNM/c8Q4Ax4iyXKam4rFEevk16O/Jk/F8y8K5Sm3iKCrCssJh8wKWyCslBAJAIvvGG+qY\n5mZ81vCU4I8+Gt0f5DDJF79paarPqf2PPGLuvwRACLJAIBCMd5w8iWShqclu0a2sxK1tCiemhzor\nKMDt3XPn8EVVUoIvRrJEAaAUgSyKRFQrKvBlRlYp7kgXCqn00UReXnsNSdWnPqXKbmlRYeYA8Np/\n8zcqJNvOndgWsv7SAkBvN5X58MN2S2l7u93hjrebNLf6+RTvluJHv/IKSg6IfJLVmMgvB5Hye+/F\nOhA5XbgQiceyZYp4p6YigaRrzJqlUgSTAxSBErbs3Inl79mjxpckBRs3oiSCiGtWFhIOSu1MCxpK\nuLJ3L5Zz6RIed/AgWg6JGL78slpccDJJ7X/nHSSfb72lyiQCFAwiuaVzsrKwDm++if9zqyw5HNJY\nUuzehgYkWiZLflcXLkL271efTZ6M84xbMQGix4nPtUOHsA16SnJaQO3di8fQQpHGgVBVFR0vnKOx\nUS06KD4y9VFuLhLtGTPUPVRejlIaijVNYd5IqpGfj/ddQYGyltMCkfqJHB+JoHZ3q5jipaVIxtvb\nVZp5PZXzggUA3/42wLRp2Je8zgCqrnpyGj38W3MzjhGXUVDUlepqvB/IYZJbiHt6sO/z8lT7N2yA\nZEGc9AQjDnHSE4xljAknPYqDzDPmZWSgta211VkykJaGx1EGPd1pirShlZUq8cPHH2PIqqoqRbxq\navDlvmQJvvxycvAFrmsYa2vRCnflChIKv19lhNu/H+Bb31Llc+c2rmnlMXwLC5WTXkEBkgDSadbX\nI/kqLVWxVbnjVV2dPWZvfb1d55meju3JyUErFjmWLV+OBCAQQMuvvpVucs4qKUFiYtK65udjCDkq\ng9eBwxS/Vh8/ACSXlPSFxq+iwh4urbAQrfpNTfY5Q307bx4Ss/5+JJ+lpUhg9+61t7ehAZ3uLl7E\n8H1TpjjHQdZRWIhkSHdGS0vDn64u72m2dccxANWv3EHv5EkkgWVl2K7GRvv8AMC5TtFenOD3Y5+/\n9x6WyzXfDQ0oQerpQdJrcp6cNSv6+sEgWqR5VJTUVFxknTiBY0oWehon6jOKnfzYY2bHRwDlXAig\n6qu3nfrNlIKa7kcnp14nUNxpJ+jOoLyuf/E18OXmjq44yAKBQCAYI6DtZG7pjESQPBLJpLS5pKGl\nxANEpnQLMWlDS0qQMHzwAb6gSTtIW7AVFcqJbOZMtfXPtapUfnu7CsNlWfhi7erCevzwh6r83Fwk\nBgR6AevxUblzXEuLsrbRcffeq9ofiSgLdl4eEjnSdZq2ga9cUW35x39U1sgPPsDFQmtrdExZANUG\nsjxGIrho4OSYb4G3tmIZlZVIjqjf6Bi/H61uVBYPrcbHb8kSHLPuboBf/hLnQ00Nktb8fKwHobk5\nWprB+/aDD5R1tKtLJV6prFSW8ZoatAJS5jmyEh85gufx2MskKeHW4+XLcXymTVN65Fmz8FqUfS8l\nJTq8IO8D6l/eNup76tclS9SuQiiE5+7bh9995Su4yCkuxt0L2qXgc9cU27q/H69x4QIS23PnVDa4\nI0dUZsqdO+0Ol5mZuPjQ7w0AJYniZJN2Uj780J7qmuQvfX045tu3K606v4fJgk0+CHqsa2o77f7o\nOy0EvqPE445nZtrrq2dXBMAdGAC1u8M16JTF8p13VJ+EQpjuW5fHJAFCkAUCgWC8g7b3N21SLxYe\nVSIUQvJ49iyGTquvR3kDgba6iWjTC3fWLEV66QVJ2kEqq7xcaT+PHcNjUlIUsSCiRC97Xi+9fNJS\n33ADwBNPKHKRmoovUwr7RYSHx7yNRJQjIr1YecQGSptbX48kZfdupXuklNeNjUoywImNnoqZcOVK\ntINWYyMSUuqvDz9URJwvPEjuQP1FhG7vXiSUqal47fPn0epO/X34MF6fW/FIJ04SA3L827pVSW+4\ndriyEufEq6/ibkBBAUbSoHE0tTcz0y7b2LrVnsaYrLjU3zTuubmYlCUtTc2JyZOxXk8/bSeTly7Z\nQ+n97d+a5wvF7l29Gskel5fwxRUlyuHOYnxXw7Jwjq9diw6IvK9qa7FNprTfpL3OykJiS1b/rVvV\nPUCorFTXIrkSab8J/Nq6Y2Bqqn08brpJyV+ampC88nuCdOp0bwQCWB7FUG5rwygv7e0qxfvmzTg+\nJMlIT1d1KitTBLqyEuMrT55sd3aleb19u0oERPjhD/G3SYPOnUGpTzs6UBbmlL4+gRCCLBAIBBMF\nRJT1LGdVVep/8ooHsGtOKdlIOIxbnmThId0mOZwtXYovW5MjHG0lDwzgC7CoyE7Es7PROsQzwPHy\nuZZ6wwY7uabteO4d/9ZbKNHIzUUC8r3vYduIAHDnPgr/tXGj3QLZ04NEi7Kj7d2LVnMqu6wMzyWQ\nBZ4co8gSSeBW68xM7BOKvsEXHpz48MyHFI6rrQ3JsO54OGuWyuoXCmHbeQY9sgTzsFmUTW7OHCSS\nTz+NfU1Oay0t2OfUr4SMDGVJpv7gfUeZ57jll8rjkTwuXMB+pn7x+ezaaABc4JC1OBBAx6+zZ91D\nsO3YofqGdNEffKAWQtu22ZPKnDmjSHpFhRpXva8efxyvQWSPSD4Rw127cI7o2SUB0LmULLe0u8Kv\nRYsT6iu/Hwn65Mn4N1/4pKba+5t0ylxbv3s3wG9/a18cbdyIi6qWFnvyEX7vcMs6gF0L3Nenxv3M\nGfxdV4f9efYsSmpaWlD6kZ+PPxQDmi8y+a4ED+lHoFBuVCbhwgV7AqEkQQiyQCAQTBRwJzXasiRy\nSKCXJFmyeBgx+p6sek1NaGWkbVNKT81fXJyE6qHcbrwRrXt0flcXWpQKCpDUWZaK+8pDkNGLlSIM\n8BTBnBxcvIiaaKprY6PdWqhHMqD+efNNVRZJIDjBmDlTERjSOBOIfPEIDlu3qgXFkSPRVlQ9+kZD\ng7Ie03E1NVhPU5t1ULtOnFASCbLiUVu5XIVSaO/ejWOrh8/i5DQrS5EjIi2RiCK8hw+rueXz4Zh+\n9FF0VjUeyUMviyQRFRX2RRJZyVtakAzSeYsWmTOyWZY9CyOVx/+mXQmK33zxIo739u3RIeGor+hz\n6mci+UQMb7gBLa+0KOFEOSMDdwz03RWy7NLuDsmD+vvR8fLiRdXvOTlYl6tXcS6lp6uwf9/+NvY1\nOeGdOWNfmBAh1fX/LS1qzvv9uLPB7xUu+6B6ZGVhu7ml+vBhNY5XrijHSlok8sUKl0hQX9bUqN2Z\nri5cjK9cGW05DwZVKMMkQQiyQCAQTBRwCxFpTHVyyCNccD0vQY872tODL0ndQkngJJSfGwopqxK3\nnqWnI2Gnej73nHOdSSPJUwSTppbIG9e38sxolM2LRzKg/jlzRp3/0UeKHOgRFwCQWBQUIPltb1cE\njKyYGRl2LTDXQROp5ESBklbwCAiXLmHbndrM0dCgtMa8/7kOlX/+wQf2aAE0Bp2d9ogIRE6JcPNU\n2xcvYsKG7m4c1yVL8HPLQpLD+51SdvPFWiikrK/PPKPK2r4dE5HQtj+AfbwaG7Ee776LZUyZgrGW\neVSNRx+Njl5C/VRVhQ5z58/bLZSBQHRIuJISdOC75x51DRrrujp7rO/+ftXmykq1qxAMYptKS9Ey\nyndXyLJrWjDQ4oQWVJ2danwjEexvIqp6rGkeGYOTez1M286dKt08JaWh89LT7ZKGUAjbrOvTdckS\n79PXXlP9RrtU69bhvJk2TWX1O3XK7jRMWn+KtkF1ikSUbCVJkEx6AoFAMBHQ0GC37pCkgMAzrvFk\nGzoaG1XcXwAV+SEzE19m776LBIAiOPDMaEuX4ks8FEKSee+9WO6xY2gBO3MG/9ezrAHYZRAE0khS\n+44exTbybff+fqwjT5jAiQI/d+9ee5sA8EVOmtDWVrP2sa9P6SUpex1tyWdlqegSkQgSQIp4wfuG\nsGWLOpdS//JFB2+zCXwcqT5E4ngmM71syshGKZ4pisJLL2Ea7owM/CEnquuvV6Hl0tLsZRIp45FG\naIFSWYlzg9czPx9JNoAiijyzHx1XWmqPPBEOYxk0X86fx/pfvGhPaWzqE/4ZgD2Fent79PGUoIN/\nptePZ01MSUFyn5amCPfLLytr7sqVKM8BMC8qeXpqKpMWWTyyyMyZqszKSmxvU5OKXPHQQ/b5Rti0\nCS3lPNFKMKgWdAA4/w4eRBLLdwDWrkUpBd23pkQ1ra12B8aWFqUn5imjeVSMpqZoB8XsbFxkVVai\n9IfaQgsm3hcJhhBkgUAgGO+oqrITx5kzFTkl0sQtiG7e4eEwWvsuXkQSsHMnwB13qJdcVxf+UFph\njk2bnImLCVlZWJe6OiQa69bZw3Jx6NfS0xMDKCuabnnVz+VOT6mpaMGtqFBbyX19eH1KpQuAZIL0\nkrwvn34at70pBff69e7Zv/jWd2YmEgZykHNK1TtlClojMzKiZSh6+zi509P9kr6cxpIiYQAgCWtv\nV5rTZctUqDyeuvvRR7G9+flIovfvx/4aGLDPDSKHPK4zJSCZNg3LpZjbAPaIHkuWqNTFus7XsqLJ\nvylrHo/mMHs2LgjOn8d6EnnjFmi+uORkll+byCmF+ONhCQsL7XGWd+3ChSK/HwjhsD09dUODkkDQ\n7gAR5UuXMCoJEUc6nl9TX4TRuKelKYKcmorXLS9XyUAOHbLvLgSD2P4//MG+CKXFoSntNaX7pr6s\nq7Pruem+or4NBu0p6G++Ge8Dag8t9qgv9u9PnsOelWQMQxGCMY6rA1dHugoCwaAx2p9xgJRB/VRW\nWlZbm2WtWqU+q6/Hz+j33Xfj92vX4v+Eu++2rMJCy8rJsay0NMt68038fO1avE5qKv7OyLCsEydi\nV47Oy8mx/6brUN30urpda/Jky8rLw3oGAvhZWZll1dXZ2xJvPWprsexly9RnBcWtXW0AACAASURB\nVAX2vs3Px2udOKH6kvcd1QcA61hcbFkrVqjfa9eqtmZm2q9Lf5eU4DG5uebvqZ68bGofjT1B71f+\nv9tPbq79Onzu6NctLLT3pc+H3584gW2hvqa663WoqcFr33KLaivvx+pqywoG8e+KCvMY6/Wjz0pK\nVL/za+bk2OcLr1NBgXPb9XKo33lbiou93RscvPz8fOyLvLzY94QJ+jx0muemNq5Y4Twf7roL65mR\noa5XXh59L1Cf5OZa1he+gP3p9+PzZNky+1yORKLHk/fFX+ZPsp7Bw2JBfrjt4eEoJimQJBbJR4pP\npPACQdJRVoZRCkj3y7dDz5yxW2dN29pTpmDGPbL+AKBD3caNynL07/+OMZB37Yq20vIECTfcgNu7\nnZ1oMSwtRa3vH/6A16StZLI6kbUxFFJWWv3anZ1opZs1y26BAkB94zPPOPcN1f/BB9ESR795PUje\nQU5BZB2mxCDcwkkyAQ5dOkIRPU6ftv8uKLBbCf1+dWxKClrujx9X16F41tQ/Dz8c3fdcPsG1zrpV\nlCzBAGprOxRCjfibb6IVk2tZdSs2Wbm5FZu2xf/933EekSPn6tXYFrLyB4PYfxTyjmPjRrRe69ZJ\nACzr3DmzJZZgkrKEw0rfqmPlSvt84RZ/kgps3Ghvv14OzUmSXVRWYoSJe+9VuwhOuyEcfJwolF5T\nkz0SBMU99nJNfR4WFaG2Wp/nel9R4hEAtPqeOWOfD+vXR+8G/fnPKnJMWRnOy/R0nCeUtIQi5lDs\naKrTjTeqZxUHf25duKDmTxIgEguBQCCYCNBJomk7lF78PBIEkb78fDs55lvN9AJtaEASfs899hc1\nXZfOJ+JHW+sHDuBvItxEhojwzJqFBLKjQ8Xw5dKAo0ejiQ5JLEjjOGMGXicnJ5pE0NYtEZdQyFwP\n3m+UaGTOHPyca3K9ODcCKI0ukVEAtZW+aVN0JjO+/U+YOVPJHjo6UN7At+f5+HDoDlUUgou0r7p2\n1dQXuo6Y6lpbq+QXvOw1a1TSk7Q0RfQDAeV0BWDXgPMwgpykEZ5/HiUooRBKJZwyGJqgR3IAwOv8\n5jd28vvII2oh5EW6Qt9RezIylESoszP6fnMDHyfSGnMte3q6feHK5ScmssznIckpqC5OCwwCn/v6\nOeR8ytHbi+ND84IWgfX19ogXAOoeoHjLu3Zhm/T6mJ5bSYKY7gQCgWC8IycHLYscesxf/uInr33S\nd2ZmKsISCiFJKSuze/oD2KNk8FBv3GmNwLW7evl6dAm9jno5XAdKyUAOH8bf11+PL1KewMIUP9VU\nd6oHT7QAoD7buFGFRguHVVZBirPM0dio4t+WlaFzEzmw3XyzPUPegw/i9SieMUdWFlprARQp5amK\nfT5z1AYdegxoau/mzSoWMx8DfUz0a1D4uZwcbAuPN02gCCM8Gx1Ftpg8WV2LMhryWMSmfiRcuGDP\nYMizLLqBIjlQCLFwGC3lejztDRtUaLIFC5zDDnLwvuERF/Rsjk7Qo8rwqCEzZ6rxOXnSrum9fFnV\n+8tfjr5uY6PKmEdaY67tNUX6oM+cQuUBmBckPJa36R4m4p+Rgf1aWIikurMTx5GiZPC6rFtnz2rJ\nHYYTDJ9lJSGBNS/A54OHLj6UzCKSCpFYCAQCN/h8PkjyY3RI8Pl8YAGo7HXhMFps6YXW3o5Wp6Ii\nu3W1qip6y7S4WMXr5d/X1yvrHlkIuaMffc6jGhCqq/E4k/WKrHiBABKEnBwkBHv3ovUvEMC6Z2fj\n96YtWSqbLMq8bnT9999Hq1V7O5IZSkxC3+/Zo6x3eXm4/cstgbm5SNCIdPA+4eBW2HXr7H11663q\nenRuezsSfNqG5m3KzIy2olHdY9XDadx1x02n8Xj/fbVdfuwYzou331bEihwZ9fL5nKmtRVJtslAD\nqLqdPBlt+W9vR2fC5mY8lhKW9PbiPD940J5F0Qnt7UjKyJJcU4ORJ44exfa0tkbPZbc26Nem9pSV\n4QItJwfjhv/wh7Gttbyc4mLM7kgyCNO9RVKHSEQRz7o6d2kRQd/hoTHT73F954bXn+rBrf+E4mK0\nCK9ereYbRX6h3QSTNZjSdIfD6LhJ411biwv1558HqKgAX1NTUp7BIrEQCASC8Q4eCunCBXuECV2L\n+ZWv4EuVZ7bSiSVAtIaZkh3wbXnSHV+5gla/+fPxhUvbqZFItFWSQ9/Cp8QIhL4+pVukF7gOXV/s\nJBEgTJvm/j1l8eKpi0mTa4qWwMHlBrouWLewERktL0cSevq0WlwEg9Ga0Nmzo/XlWVnYX2T90+ui\nhy5raXGWDOj9Qdvl+fnR5IbIsd4PpsyFpr4BsNeNypo/X2VMfOcdgL/7O4y08NprAJ//PM6FgQGU\ncvBwcNQendxRXxFBDgRihzt0awMHj/VL1+/sRE0u3Qukx9+0yVkKQfcdtYGkPVz+QcRz5UoVzrC8\nXIWIiwU9U6Ae6YNHoHCaHzSfX3hByYV4/fX5NmuW2k3gxx47purS26vK4XKYQ4dwTnd0qAgYSYBI\nLAQCgWC8g29VmjKwUQxaAGUppUQSJFXQiQJ9TxIGPdkBgMq6R+mKw2E856238DdZap2ga6GJHPM4\nuwAqPBhtB69fHy2J0CUD/Po8SxdJBQDUdjiVQ9nxuJSDEm3wPtETf5jkDvoWNclaSKLx7LMqo2F3\ntyLH4bAiPm5JQPLzlaMfSUb0uugEKBbBp/4gWQwP0VZWZk+hzLP2EUz94wSqC8kYAHAucfnLc8+h\nc+esWUqiwXXzuszHJP8hmQXJOXgf8OyG8baBl8fHfc8eTPLCs1Hqkh/udPr001gOJ9xHjqhrV1bi\n9UlGROSypCR2HxN4psDPftac3c9tAciT09D9k56Oun8uOeL385kzyuEwGFTlvPmmuh9TUrDN7e1q\nnCIRXLhQO+neTALEgiwQCATjHVeuIJnx+5HYcb1gQ4M9axu94LhFz7RFrztN6d70U6ZEO+HwCAv8\nmvPmIdG0LMw6tnmzchrjCRIqKvDvwkKAN95QlsoPP8S0ykSgucOYmyMUXZ8sp5GI3epGzoFXryqd\n5MmTSFqIcOt9QlpO7kDoZpXl53ILG0+yQCTAKYKE6VqTJuHfOTl4vh4Lm8etJSu2KdoFB/VHfz+W\nS3pRAHQCfeUV5/Pd6ms6hnYjduzA+MTULqeIDVT33btVRj8e8cSJ3OmxuWP1gcnhkdefIrUQyaus\nRDkMjWtLi31BpsdVBrA7+NGik88j2r2gxQBBd0ytqbHHyHaKcKEniaFy9GgsTn3D61ZTg/Ns1y57\nZAuab7rjKQAugqiccBjgk5/E9g8MqNT1fJwo2opJspVADIkgb9iwAX7/+99DMBiEOXPmwGOPPQah\nUChRdRMIBAKBCzw/g+llW1KC1mS+tXv0qNqW5dZJr3B6uebn2+UQXV3RL1wiRO+9p150O3dGe+LT\nsXoZAEgSuJMaT9gQyxGKyI4pQgOAXfbAdZKrVztHCtAJcSyrLAcnj6SpnDwZxy0lxb64iUW8icx2\ndmJfcFJCddHJnhv5c+sPSqYC4Hy+l4UCP4bmClmGAXDRsGWLneRzYrVxI8oMzpxBC+Py5UqS4UTu\n4u0DN9COCYEkGgBKM60nj3ELZWZKbMJD5/GFI8+ax7XpTotFXXJCn7vNV9MCkFuWKdJNWRkuUEyh\nJCkxCMmsTI6YNM8A1AKCxqWhAX0oyC+BP2MSjCE56W3btg3WrFkDKSkp8N3vfhcAAB544AF7AeKk\nJxAIxjFG0knP6zPYAsCXzvz59hjBJSVIDtva8AVEmbMGC+6kRySVHLYovfR996kXM3d0I5SX48tT\nd1jTyyBrckcHtoHHeQYwx/01ZZ5zixu7fv01RyAAMDsVFRYqEqb3ga4djbXlzZ3PiPScP2/uCyeH\nSGondzKjsZg8GUlZJGLWvcaCycmQW/HcHLmc6svBjyFr/Z/+hAugzExFwgFwPh8+HD1f6RoEJydF\njlhzw6RfNl3j6acVYePOnnrfOfW77pT62GNKb8w/i3VN032oO6eanPK81NPkuHfkiHLc5D4BpKXn\nhJ0cG00+AYT2dnuqbf697jxcXAy+06eT8gwekga5uroaUv6yVbBs2TI4TUJ6gUAgECQdcT2DOzvx\nxU+IRNCxh17oq1aZk3s4hQubNw9fXEQoAOz6zE2bkIDTVj/FMObaTNK0LlqERLOmBr8zhZ4jcN3t\n7NmqXhTn2RSCCgAtj1Tuc8+Z9ag6XnxR6SQPHFCaUG7h4rpYvQ+c6uIEcj4rKUFC+PrrKsyXvhXv\npIWl/m1tVRbMTZvw2PnzkWw66V5jhYbjbaHyV6/G75xC8On17ejAcePzRj9mwQKlwb5wAdvxyU/i\nMZmZ+LuzEy3EpnB6PIlGLKs977OtW3FBpNffqU36NeheKirCBdv8+bgoqa7Gz/V50NCATqF0DGmL\naWFJiw39M4LT3NLvQ32ecKe8YFA52eqh3EzQLcwkB2luVuOp71DQ/ULWbJLAOJVz771Yl54etLSb\ndPMAeE+89Za5nglAwpz0fv3rX0ONHsBbIBAIBMOCmM9gciyjGKgvv2wnovo2J4A7MSDnOx53lr9c\nSVNLHu3kHa/HLC4pwZdlJIIJGjj5MlkaeRmmWL5O4F7wpOmNRaD4OW1t2OYNG9xJWDyE2ATqN3K6\nIgJIyTxilWNyMtOJiqndXkigXs+NG9VCiJyxyKmORzfhxKulxTleMR3DY/sGg2rhVleniDJA9OKE\nrkExi704AwKohVooBLBwoeoj0jvTIsVtvvB+f/ttbIObIx6AkmTQMaYYyW6OcU4LGv0+dHJOzc21\nx2j2smjS701TDHIvDr1uc8xpwTJ/PmrT+TNssPeZB8QkyNXV1VBWVhb1s2XLlmvH3HfffRAMBmEd\nT1MpEAgEgiEjIc9gemnNmqUSQcQiogDmcGEEIkKmqBj6+dy5jJc5a5Yig6YEHbFefm7111/u3At+\n/35vBIrO4dEreAY9HmWAYLKsxwseYo/KjbUAILhF0ujrU9ElePITU0QLfp5b8ojly9FJksYwMxPL\nT01Vn82dq443zRun6BqcwJEFddOm2BZiff7Eso4TAe/owEVFejrWn3YdWlvt2fBM13AijgBmRzzq\nA36MiWDG2inwuqDhmDIFf264IXpuc7glzzHVzxQphs4hKYbeH6ax4XOR5E0AuJhYvhzvBR61JUkY\ncqKQxx9/HH7xi1/ASy+9BJNoK40X4PPBZ+/97LX/566cC6UrS4dS5LBCNMgCgYBjx44dsGPHjmv/\n/+AHPxjRRCFensH/+Z//ee3/qqoqqKqqcr8o10IePKic4LhW8eRJtADu2uWsW/aiu/SiTR0MdK0k\n6SGddMkmbSnVX9dLmpKkEMJhu/VzzRp3nbMJernp6Sj3cIuby6En9DhyRG3/OyWBMPWPqZ36Zy++\nqNobCKhwfpMnRztQ1ddjm/R541YXPaFKOBx7XnlpPx23ZQsS4P5+dIQkh1UOXXfuRdfspqOlso8c\nwbi/lZVq98Qr6L7JykLSGI+m3Guyk1g691gafn4c9zeorVXp0E1zTE8aw5PCAMCOVatgB3uGJesZ\nPCSC/MILL8B3vvMd2LlzJ+Tn55sLECc9gUAwjjGSTnpen8Fx14+/tAoLlff9YAms2wvVC4mO95oA\n3oi3G9F1g9u1p0xBwsUzitG1vRILvX1vvIEZxQhuGdJ0BywOvx8JVWUl/m/KzBarnfpnFLbL58Po\nIwUFyqrIoxU4kSxTFkM9EQYtTmJl+iOYskACuGfF0/upv9+egEUn6k51cRtjJ8IYz9wjtLfbQ6bF\nugYvm2exc7un9XuTrsHDBTqVq89Deo7k56PUgjIjmhZApnoUFWG4SoNzZrKewUPSIH/zm9+E7u5u\nqK6uhkgkAt/4xjcSVS+BQCAQxEDSnsFedIWxwLdOeWIDfTuYJ0Bwcg4zIdYWs5eEDvGEYPN67ddf\nR6eyT30q+trxbIvzY3kiFwBMV+wkF+AOWISyMkyR3d+P5zQ1KSmEW1ITUzv1z6i9N96IjozUNnIO\no6QwThIBk86at50nn4nVf1R/0gyTnCMnB9vklBUPQEkNUlMBli3DRQhPwKK326kubnU0OahyrbOb\ng6SOcBizBdI1Ys1fXrY+9l6T2dA1eKQOp3L17Hz0HElJUdKbr3zF230aDuPiCwAXFhs2xOyeRGBI\ncZCPHTuWqHoIBAKBIE4M6RnsZumaMkWlgSVv83ivZUpsoKdR1i1penxctzrq+uj166PDc8WqN8XG\nTU+3x3Yl6yBt0ZO1i8qna+v1o/PKylQKYNKtNjZ6SwGtt09PNJGRodJdm+IJ03k8/NonPoEklsKf\nRSLmNMmmWMWmZCh6LN2ysuj00vw40ziYUpmTztpp4RJrQaOniZ4+HcOOdXZiH5qiPZAM4qGH8Lqt\nrTgf9dTlfCHHxzKeOppiGcdK4ewGp/kby5/g0iX7+HtNZqMnedEdR03Hkv8B6ZN5XGvL8nafAig9\nvpd7J0EYsgY5ZgEisRAIBOMYIymx8AKfzwdWYaFdv3rvvc5xUAHilx7w40tK8MXJ4/ByMqBreN0k\nHG710LeYeUKEeLes9XIosx6H6Zpu55n+f/RR79viug6TiBylj3bSntJ5FBmBx2N208QCxK8H96pl\ndWofSTJOnrQnQaE2pKfbFz0A7nIcvf58+57iKrtJH/icjTUXTZptAFyobd0KsHix89i4xS0ejIzJ\ny/3qJslwK58vAkMhgN/+FoltdjbuDsTrf1BdrZKbbN/uva0u9R+VEguBQCAQjAHwUFLz56PkgW9/\nulm6vEgP+PFFRdFxeHXvdq8SjlhZvfgWM3m7xyuXMJVjiiLhFoWAvufhwh58MPr7e+9VVt1Ynvx6\nqC6KPrJpEy4GiCjTNj5dY906vK4e/5Zfw4mUeNnu5nUlCQNZf+MJbxcO40Jq3z4VPo9/R+HeuFwh\nVnQTvf78f/1aHKbY0bHmolNdTp7E5C6m0G5O53jpdzfwujnJNdwkGW7lc2lGU5PS1VNmTCc4tZXm\nZTzkOFb9kwQhyAKBQDCR0NysiFwwCHDdddH633hf2Px4TiopDq/b8ffdZ9YgNzTg1rgplJrpOqaE\nCF7hRKwOH3bX6T7yiP17Hi6M4iXrulXSb/Lt6Xi0yU5EQb8GERQ9nFusa8ciuW5a1ngRayHmZaFG\n4zFjBsCtt+LCwdQe/VpORN9tzpaUAJw6hZKV6mpzfw5G1+6l33U4zUO3hYDTfe1WvlPINTf9sVM9\nvSQiccNQFxJxQiQWMSASC4FA4IYxIbEAUJ75XPLAU8C6eaPraXidtLkA8UelMG0Pu6XCNSGe6BCD\nOT5WfQmxtsqdvo93i93Ux07XMKUGHmzbGxoAnngCoLc39ha7F7jNFQqD9v77dvmFDlMkCtN80csa\njDxEL8tLOSYMZf6Z6uJVLjGYejhJfZxkOm71TEvDsryEKowDyXoGD8lJTyAQCARjABR/luuAN27E\nlymAu7WLO/AQyQbA6AMA0U49Xpxu+IuZW++4NVSXgLi9zL06Gbkdb7q+6TM3CyE5TTnFWuYhy3j9\nTee5gSQT8+crbfkvf2m+tr79zhce8TiEUb/19uLftMUeb3gyvR1O51MKYwDnchoa0MoPYA8n55Y8\nhKBnYfTS716Sf5gcOGlhSfOIz7/58zHzX7xk0WkexjOXvNw3er9R/OJ465mVhdb9nh4lPxnK3BkO\nWEnGMBSRVFwduDrSVRAIBKMYo/0ZBwCWdffdlrVqlWWtXWtZbW3qy7Y2y6qvt3+mY+1aywKwrKws\n/A1gWX4//q6sdD+XoJe/apW6Vm1tdB2ozNxcyzpxAj/j59TXm+votT6m403XN33W1mZZJSWWtWJF\ndH+a2rtihXO9hwJeN7dr8zHm5+TmeusrDuo3AMuKROI/37Kc56JTWW5jyttTUxN7LnN4mfumc2pr\nLauuLvZ5vG75+fZx4v3odV7o/TaY+uuI974ZDKiet9yi2pudre7rBCBZz+BhIcgPXXwo5o9AIBCM\nRYwJgsxf1iUl3ggKQX/BpaYi6fNCEgg60Yz1Yja9/N3OiZcseL2+U5mFhao9dXX2a999t2WFQup7\nOjbRJGQwZNW08IgH8RBEJ3idi/Es3hLVt17JuxfwutG9Q/Vsa4t/XrgtEAeLRJDseMqaPDkpi0Uh\nyAKBQDAKMSYIMn9ZD9ai2dYWbQnzCp3IxHoxm4hKsl/mpus7lZmba7eAc+hW2hMnklPvwZDV4SRE\nTkjEXCQkuj2JJKG8bvHMLcsyz//hsPYmG4Npg4dFS7KewaPGSU+c4QQCwVjEmHDSa2tTukQvqV2d\nMNh4rYlw3BtNcIvlSn3EEyQIFPhciHcuNjQAbNlij+ntFLN3MM5vQ41HnCiY5v9gU7KPJji1wW3c\nPDwLJA6yQCAQCAYHHlrJLVSSHpJp3jw8hpyMBhtmKd7QTvGE94oVvszrcfHALZYr9dEHH4wfcqzP\ng6HA61w04ehRe0xvt1TOscLlmZCsMGLxzkHT/I91D3kpI9Y4DvVeiXW+Uxvcxs0tPF+i7mcHiAVZ\nIBAIhoAxYUH2Wj/dWvPiiyriQ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"text": [ "" ] } ], "prompt_number": 99 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#$Quiver Plot$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####Generate some data" ] }, { "cell_type": "code", "collapsed": false, "input": [ "n = 12\n", "X,Y = np.mgrid[0:n,0:n]\n", "T = np.arctan2(Y-n/2.0, X-n/2.0)\n", "R = 10+np.sqrt((Y-n/2.0)**2+(X-n/2.0)**2)\n", "U,V = R*np.cos(T), R*np.sin(T)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 101 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Quiver Plots a 2-D field of arrows" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 1, figsize=(10, 4))\n", "plt.axes([0.025,0.025,0.95,0.95])\n", "plt.quiver(X,Y,U,V,R, alpha=.5);\n", "\n", "# Remove Ticks\n", "plt.xlim(-1,n), plt.xticks([]);\n", "plt.ylim(-1,n), plt.yticks([]);\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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KCioKTzPItEXP+VxkjupmhE9KwFNESZminLk+3RkH+HRndcFs+i3OCuO57BTy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\nkJZBRo9uh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"text": [ "" ] } ], "prompt_number": 103 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Syntax of quiver\n", "quiver(*args, **kw)\n", " Plot a 2-D field of arrows.\n", " \n", " call signatures::\n", " \n", " quiver(U, V, **kw)\n", " quiver(U, V, C, **kw)\n", " quiver(X, Y, U, V, **kw)\n", " quiver(X, Y, U, V, C, **kw)\n", " \n", " Arguments:\n", " \n", " *X*, *Y*:\n", " The x and y coordinates of the arrow locations (default is tail of\n", " arrow; see *pivot* kwarg)\n", " \n", " *U*, *V*:\n", " Give the x and y components of the arrow vectors\n", " \n", " *C*:\n", " An optional array used to map colors to the arrows" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Making the edges black to get a better look." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 1, figsize=(10, 4))\n", "plt.axes([0.025,0.025,0.95,0.95])\n", "plt.quiver(X,Y,U,V,R, alpha=.5);\n", "plt.quiver(X,Y,U,V, edgecolor='k', facecolor='None', linewidth=.5);\n", "\n", "plt.xlim(-1,n);\n", "plt.xticks([]);\n", "plt.ylim(-1,n);\n", "plt.yticks([]);\n", "\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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zDBk2gU07MmYay5c1ZtHsqpQtdQen8X9w8sRhwa5P2rvHIE7se5rhuKamBkNd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"text": [ "" ] } ], "prompt_number": 104 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Cool.." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#$Steam plot$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####A streamplot, or streamline plot, is used to display 2D vector fields. Lets generate some data" ] }, { "cell_type": "code", "collapsed": false, "input": [ "Y, X = np.mgrid[-3:3:100j, -3:3:100j]\n", "U = -1 - X**2 + Y\n", "V = 1 + X - Y**2" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 107 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 1, figsize=(10, 6))\n", "plt.axes([0.025,0.025,0.95,0.95]);\n", "plt.streamplot(X, Y, U, V, density=1, color=U, linewidth=2, cmap=plt.cm.winter);\n", "plt.colorbar();" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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YL5ihRjNciaLZh32HZg4OCSE4X0kFCZ/oxwzHWyQyUBEUynpqdWNDfLEimHNJ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wafP4D/seuQwyTDryo/TkRenJj9aTH6UnN1pHslF73LVGDCn4VOns5eXOKv7ZuZ/WfjN6BTJO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SjWUVEaHB+2kMpjw+MGjYIunRKnW8LpkeTpV15eERwuCYfr6wWCLUnBzv3er33PsTA9U8P+\nXSqCDMJXXgzNG/VfXXfkl1ErEBKkIDgIDIaApXaic0IIzrZuD69+0cfL6/rYXzNcyig3Sc21p4dw\n9WnBJEZOzI+iqcfFSU8XU9PlGjEq4OpX8uZ1uSzOGr8Yx+9DZbeNezeW826FXIQ7Sq/mmrx4ri9I\nQDOOWd/1/TZu2VrE+3VtAKQE6dl81kksiB7bTjzHwkctLdy0dw+1Nrnz0w3p6TxcMBnTGLaDlCSJ\nv9dWc8eBffR5PCyOiuLSxESuT8nwSUHxzZ0d3LR/D4W9PQDoFAq2nXw6c8e4U9J3xe7xDonMD5tb\nDhOZlyQlcHFSIsknqMgcZHVFG9d/dpBOx3DW/T1fVNDaW0q7zYXLe+zWFI1SIMaoIdqgIcaoIStc\nz7xo07BwVCsI0iq/IiaVBA2tl8f1asVxIXC83qOLUadbwjWwzu2EPivYnRI2p4TNIWJzDM5LxzAu\nYXOKaNUCXi/09kn09n0/q1uCVk9Tk/wdKBQQZITgIIHgoBFTo0BI8BHGR6wP87cKfz4si/T2229z\n//33U1pays6dO5kxY8bQukceeYR//vOfKJVK/vznP3PWWWeN6r4npso6BhxOiQ822vlwi53XdnTj\nHfCCmIIVXHFKMNeeEcysLO2EvaAcaLax4vMWXtvVheerqasACGypsfq94DTbXPxhWzUv7GvAI0ro\nVQp+NTOFu2enEaIdv5+nWxR5pqiG3+8pw+bxEqxW8eDMHH6Zn/ad3HqjSavdwX1FB/hnXS0AU0JD\neXHGTOZHjG0ca4PNxvV7dvFJeysAF8Un8MK0mcToxr/MTqvDzj0H97OyoRaAJL2BpwqmsSzet3G0\nR6PD4eTPFRVsNnfyRZt5aHzukMhMIMXov+1hxwKPKFLTa6es20p5t42ybitl3VYK2/voHYxpGkGT\nzUlLnyzQgzRKYoyaASGpHpqPMWqIPmReTahW5Ze/CV+hVAoYlALjVJoYAJdLwmqX6Lcd6cXQ/NHf\nI9FvlaBXgcsp0dcPDgdY+sAyJGKPXcyePN/PvJY+9OxPnjyZ1atXc8MNNxwyXlxczJtvvklxcTFN\nTU2cccYZlJeXoxhFw8JxJTglSWLLfhcr19h48zMbvf3yt5o7SUtOipwAdM4cI1r1xLwYSZLE5+UW\nVnzeytqS4ULtP8gNYXK8nhlJQdhdIja3iABcMXP8Emu+LXa3l2f21PPIjhosLg8C8OOCBP6wIIOE\n4PEVNFvaurhx034OdMulry5Ji+OpeZNIMPq+tuo79Y3cuHMv6cFGDAoFfyyYzC2ZmWNqXZQkiX/X\n1XLb/kIsHjfhag3PTZvB5YlJ434jd4siz1ZX8PvSIvo8HjQKBXdn5vLr7Dyfx9EeiZp+K0+Wl/OP\nmhocA0+5Z8RE84O4WC5OTCA16PgXmR02J2WDgrJLFpXlPTaqemy4j/hwfGQSQzRsuWIa0UYNBrX/\nxuMGOByNRkCjEQgfRXuH2y3Rb4W+flmAWvrkaV+/RN+I8a9OLX0ScTET854/FuTm5h5x/P333+eK\nK65ArVaTmppKZmYmO3bsYN68eaO2b/+7Yn8Hapo9rFpjY+UaK1WNwy6rmblqrl1q5PIz9USFT9wL\nltsr8vbeLlZ83sreRtmdatAo+Mm8KG5bHEN65MQp7CxKEq8Ut/DbzZU09MlxVWenRvD4ydlMjhrf\nTjRdDhe/3lXC30rrAUgLNvDcggKWJMWM63EciR6Xi5t37+OVWvnYZqrDKDrrB6QFjW290Sa7jZ/t\n2c3HbXLnpPPj4nlx2kzi9OMvvj/vaOPm/XuGShydGxPPU5On+bRj0dHY39PDY6VlvNkgd70COC8+\njntyc1gY6Z/u/tFAlCSKu/rZ1NrFppYuNrV2E6fWs63ZcsT3JwbpyAk3kGMykhMuv7LDDUTrNXze\n0MW7lW18UNVOt9ODUaMkNcz3D30B/AO1WiA8DMLDvpt4fOWFUT6g74Mfdhpqbm4+RFwmJibS1NQ0\nqvuYsILTYhV5e52dlWusbNg7HL8YH6Xg6h8YWL7UyKT0iZEoczT6HF7+vrWDp9e3Ut8t/4/RwSpu\nOTmWGxdFEWGcWP/fZ3Wd3PVlOYUdsiVxWlQwT5ySzRkp42uJlSSJVyobuWN7MR0OF2qFwF2TM7hv\nuu+zzwE+b23nR9t30WCzo1cqWTF9Mj/PTB9T66IkSbzSUMct+/bS43YTplbzl6kzuCppbJORjkSD\nzcadBwt5q6kBgAxjEE9Pns65sfHjehzfhCRJbDSbebSkjDWtctiBShBYnpLCXbnZFIT6dzjLd8Hh\n8bKro3dIXG5u6aLnK+7wtFgDs2JChsTkoLDMCjdgVB/9/DovI5rzMqJxe0W2t/aSGXZix7UGCHBU\n+rbIr6Nw5pln0jpwTRrJww8/zHnnnXfMuxnta7/v767fAq9X4tMdTlausbL6SzsDjV7QawWWLdZz\n7VIDp83SopxA3X+ORFOXi79sbOXFLR302mWLbU60jjtPi+Xq2ZHo1H4Wj/IN7O/o4+4N5XxSK5c4\nSgzS8tCiLK7Ojxv3TjSlPX38fPOBoXJLJ8eaeGHhFPLDfW81s3u8/GZ/EU+XVQIwJyKclfNmkxMy\ntsfWYrdzw97d/LdVzg4+JzaOv02fRfw4WzWdXi9PVpbxUHkxNq8XvVLJfdn53JGZg86PuueIksR/\nm1t4tLSUbZ1dABiUSq5PT+NX2dnHVQJQp8PFltZuNrV0sbm1m53tvbjEQ8sCJRp1LIozsSgunEWx\nJgpMwd8r7lmtVLAoIfz7HnqAAP7L943hDFogvwZp+dMhqz/99NNvvcmEhAQaGhqGlhsbG0kY5YYh\nE0JwFlW5efljK69+YqPFPHyxWzxDy/KlBi4+VU+wcWKJsCNR0uxgxZoOVm3pZkqmil67l5Mygrnz\ntFjOnRQ2YWqCDtLc5+TJXXU8tacWCQjRqPj1nDRunZGMfpxjsuweLw8XVvDY/krcokSkTsOKOfks\nz/KPpJM9Xd1cvXUnJZY+VILA7wry+HV+zpjHar7eWM9NhXvpdrsIVat5eso0rk1OHffP5OPWZm49\nsJfKgfqeF8cn8mTBNJIN/hPz6PKKvFZfz+NlZZRYZCu9SaPhlqxMbsrMIEI7jlkZY0S9xc6XLZ1s\nGhCZxd39h6wXgMmm4CFxuSjORHJwwO0dIMC3wk9c6iNraZ5//vlceeWV/OpXv6KpqYmKigrmzJkz\nqvvzW8HZZhZ5/UMX6/fbeH+LbWg8K0nF8iUGrlliICXObw//mJEkic0VVh7/uIP/FspxT4IAsxOC\nee6KZOamjk+P8NHE7vby5LYGHt1cT26kHoUg8ItpSfzfvHSiDOPfsWlDcyfXbdxLdZ8dgJ/mJPPo\n7DwidL7vHuURRR4tLuOBohI8kkRuSDCr5s1mVsTYWnjaHA5+Xrib1c1yjM7ZMbG8NH0WiYbxtc51\nu1zcX3yQ52or8CKRGxTMX6bM4Izo2HE9jq+j3+3hpepq/lReQaNd/g0lGfTcmZ3NT9LTJnz3n5o+\nK29VN/NmTTMmtYZ19V1D67RKBXOiw1gUG86iOBPzY8MJ106sUJ4AAQIMs3r1am655RbMZjPnnHMO\n06dPZ82aNeTn53PppZeSn5+PSqXi+eefH3XDg191GnI4JT5Y52Llf1ys3ejG64VFcxQUtVm5/AwD\ny5camFeg8QuL1PdFFCU+2Gvh8TXtbK2UBbVOLfCjRSbuODuKzJiJZy2RJIk3D7Zzz+dV1PfK8Q4X\n5kTy2OnpZEeMv6Wqx+nmzs2l/KO4kbnxIfRLbl5cOJlFsf6RvV/R18fyrbuG3LK3ZGfw6NTJ6Me4\n7uhHzS3cX1LErt5uglUqnpoyjR+npI37ebXR3MFVO7bTYLdxSmQk58XHc3NGlt90CHKLIn+tquKp\n8kqqrXI/80khIdydm8MVyUmofVCHdLSo77fxdk0zb1Y3s9PcMzSeGxpEliF4yEU+MyoUrR+FMwQI\n8F3xq05D01pGd6OFcYFOQ8eCJEls3u1h5X9cvLXGNVQoVqWC805Tc+1FGs5ZHIpOO/FFJoDDJbJq\nSzcr1nZQ3iqLsnCjkptOj+SmMyKIDpmY1oMdTRZu/18FWxplK+3UmCCeOiuTU1N9E4v135o2blx/\nkGarE41CYFlqLLdPS/MLkSBJEi9WVnPn3gPYvF4SDXr+NXcmZ8SObXa8RxT5XdFBHikpIyc4iLOi\nY3hpxqxxd1t7JZGHSkt4oLgYEYk54Sb+OXMO6WOcgf9t2GI2c+OePRzo7WW+KYI4vY57cnM4J278\n445Hiyarnbdrmnmrppmt7d1D40aVkvOTY7ksPZ4fJESjG8dGCwECnJD4iUt9vPGZ4Kys87LqP05W\nve+ipnE4LnNWgZLlF2q5/FwNUSbfi4PRotvq4YXPO/nzp2baLHJWZ0qEml+dHcWPTzIRpJuYF/lG\ni4PffF7NqgNyZ55oo5qHTk3nuqlxPimYbra7uHVjMa+Vy0+Q82PD+Mdpk8kz+YeYabbZ+MmOPaxt\nkT+vq1KSeHbWNMLGsFsQyC70K7Zu54v2DhQCXJeWyl25OeMunhpsNq7euZ0N5g4E4N6cXP6QX+AX\nDwIAXS4X9+7fz0s1NQCkGY3cl5fLOfH+lSF/rLTaHLxT28Kb1U1saht2leuVSs5NjuGytHiWJsWM\nuVU9QIAAAcZVcHb3iry1RnaZb9kzXEojMVbB1edruOZCLfmZx9eFr77TxdP/6+Bv67uwOmVhPS1Z\nx91Lo7lkdhiqCZpRb3N7eWJLPY9tqcfuEdEoBW6fm8RvFqWMa4egQSRJ4u3KVm7aUEyH3YVepeDh\nedncPCXV552CBvmkqY3fFZawv78Hk0bDi7Onc0ly4pjvd1OHmUu3bKPF4SBGp+WN+XNZHB095vv9\nKqubGvnJ7l10u13E6nSsmjWXM2J8X/MU5N/Pqro67ti3D7PLhVoQuDs3l9/k5vpFqaxvQ4fdybu1\nLbxZ08SXLZ1DCbFapYKlidFclp7AuUkxX1uiKECAAGOI7z37PmFcrjgfrHOx6n0nH6xz4xpolWs0\nwMU/0LD8Qi2nzFFN+FJGX2V/vY0Va828vr0bz0At+jMmBXH3kmjOmBQ0YeNQRUni9aI27v28mkaL\nHBJwcV4Uj52eQXq4b7JVW6wOfvllMaurZavhqQkmXjqtgIxQ/8hw9ooS9+8r4aH95UjAdVnJPDgt\nj3jD2H5ekiTxVHkFd+87gFeSOCkqkjfnzx33Iu52r4c79u/jheoqAJbGxvHvWbOJ0vpHw4ISi4Wf\n79nDlx0dACyOiuL5GTPIC/G3BsxHR5IkPmluZ21jO88erB0qPq9RKDg7MZpL0+I5PzmWYE1AZAYI\nEMA3fOerz1133cWHH36IRqMhIyODf/3rX4QepdDxBT+XS2sIApy5UMXyC7VcdKYGo2Fiiq6jIUkS\nGw7aeWx1Jzavhy9rLSgEuHxuGHctiWJG6sSuz7e1sZfb/1fJ9iY5TnN6bBBPn5XFySlhPjkeSZJY\nWdrEbZtK6HF6CFYrWbEwl59OSvKbOLtWu4MrN+zii1YzCgH+MDWP30zJHvPjs7jd/HjHLt5tlLPQ\n78zJ5uEp4++6Pmjp5fLt2yiy9KJRKHi8YAq3ZGb5xQOXzePhoZISnigrwy1JRGm1PDl1Klcnj3+x\n+++KRxR5u7aZx4rK2ddtIS3IAEhDlszzk2MJC2SVBxgjJEnC45UTfh0uCadbwuGUcDkFvF7wiiCK\nDMxLQ2NHXpZrbY8c0wgCTrt8zRo8JUeeml8dO9o6vzPmn6AxnN85S/3TTz/l9NNPR6FQcO+99wLw\n6KOPHr4DQWDS0h6WX6jhqvO0JMT6R6zWaOL1SvxnRx+Pr+5iR4XcrjEpUsWFp+i4/QdRpEVNvIzz\nkdT32rl3XTWvH2wHIDZIw8OnprN8Suy4uau9ooTV7R1y19f32bnhiyLW1psBWJISxV8XTyLJj2oC\nftHSwRUbdtHmcBKj0/L6ybM4NS5qzPd7oKeXH27eSkV/PyFqFf+eM5uLEke3gO83IUkSf6up5rZ9\nhThEL9lBwbwxdx7Tw/yjoPealhZ+uXcvNQPZ5z9LT+eRyZMxjXEs7Whh93j5d2U9TxysoKZfrnIR\nq9dyW14GP8pIJsbgH9bjAL7H45XotYpYbOLwdOS81UuvTUSvUFLXMCAaXeBwSUNC8pCXc8R6l8RX\n+gAQGarAXDM697x5OTq2bf7+mmFynsCBzXr/yVIvaBvdjRbFHN9Z6meeeebQ/Ny5c3n33XeP+t4D\nH4ZMGIvBt8HhElm53sKK/3RS0SLHCkSGKLl5aTi/XBJORMjEjke1u7088WUTbx/o5GB/D1qlgjvn\nJ3HPgmSCxzlO87o1B3mrrI21F0+n1NLPXZtL6Xd7CdeqeeakPK7Oifeb35goSTy8v5zf7ytBlGBx\nbCSvnzyLWP3Yi4CVNXXcuHsPdq+XKaGhvLNwHlnB49yj3uXk+t27eG+gxuePU9N4Zuo0glS+t7Q1\n2e3cVljIO42NAEwODeXFGTNYMEH6nfe4XLxQVsvTxVW0D7Rayww2cndBFtdkJPlVR6YAo4vLI9Le\n66W110Nbr4fWHjdtvR76ewTaemQBeSRBaXMemzA4OdfAhq3iN7/xKygUcrc/nUZ+hQULRApKlEpQ\nKuT1SgUolcLQ2PBU+NrlmGAlmfEKBrXNyP9kaOwr0yONmcLgwOZv/a8FGGVGpQ7neeedxxVXXMGV\nV155+A78pPbVaNJj9fLC2h6e+bCLth45QDM1Ws2dF5i47vRQDNqJbcWVJIn3ijq546Na6rrlm9pt\np8Ry64J4UsPG34K4ubGHRa/vBCS0enAif+bL0mN47pRJxBr9x4Lc4XByzcbdfNLcjgDcNyWb+6fm\njYkluNvp4o8HSvlRRgrZIUHcuqeQv1XL2dXXpaXy3Izp4559vKXTzOXbt9FgtxGiUvPijJlckZQ8\nrsdwJDyiyLOVlfzfwYP0ezwYlUoemDSJW7Ky/CZD/utottl5uriKF8tr6XPLCZczTKHcOzmbZcnx\nfpMYF+Db4RUlOg4gl+kAACAASURBVCweWnsGROSQmDx8vqvfe8RtpOoN1LYcXSgqFBBiUBBqUBBq\nVAzNhwwsD45FB6kQvEp0WgGdhiEBqdMIA2MCWrWATnvoOpVqYvz2/EWLCIIAk9pHd6MHoye+hfNY\nGsA/9NBDaDSaI4rNQe6///6h+cWLF7N48eJvfaD+QKPZzdMfdvPXT3rodwxknKdpueeiCC5eEDxh\nM85HUtRq5dYPavi8qheAKXEG/nx+OqekHzk+d6yRJIlffVE6sCTgdIno9ApWnTmFizPjfHJMR2Nz\neyeXfbmTJpuDSK2GV06ayQ8Sxi4L++GiMp4qrWJlTT3xwRoO9FrQKhQ8N3M6P0lPG7P9Ho2/V9fw\nl4pK2hwO5ppMvDZ7nl/U1myw2bh3/wHeamjAg8SF8fE8M306yePcVem7UGHp54miCl6uahjqYX5a\nbCT3Ts7mjLgov7HqnwjYXF4Mmm/3ACdJEi29bio7nFS2O6nscFLV4cTlkdiyz4W5z4t4jPdthQDR\noSpiQ1XEhKqIDZPn44O0GNQKQo1KQgwCoUblIYLSqBNOyN/J+vXrWb9+va8P48j4Xvf6hO9l4fz3\nv//NSy+9xLp169Dpjuwu9Jeniu9DcYOTJ/7TxasbehkwLnD6FAP3XBTBGVMNx8XJ3G3zcP9n9Ty3\ntQWvCCaDigfPSub6ObE+FdKPbqvm1xurRozIv6XPLp3J6Sn+0TFIkiSePFjJvXuK8UoSC6NNvHHy\nbBKNY2cNtnk8JL63lm6XGxQiKCVSjQbeWzif6eHjGycpShL37j/AE2XlAPwuP5ff5uf7heXwf62t\nXLltB50uFz+IjeEXmRmcPwFqau7u7OGxA+W8U9eMhNzDfFlKPPcUZDE70j/iYE8UPF6Jez+u46kN\nLTx3URo3Lji07apXlGjocsmickBQyuLSQVWHE7v78PtfuEFJd6ts74kMVhIbpiImZEBEHjKvlsVl\nqIqIYGXAkv098BctIggC5I+yhbP4OLBwfh1r167liSee4Msvvzyq2JzobCq28djqTj7cJScWKBRw\n6cJg7r4ogpkZx8f/7BUl/rGzjfs+qcNs9aAQ4BfzY/nDmclEGH0bc/dGSetXxCbIt16otzjG/4CO\nQJfTxY827eG/jbIn4O6CLB6cnjfmYuv12kZZbAKIAkiQogliatj4Vgywejxcs30Hq5uaUQkCL8yc\nwU99YF39KqIk8WBxCfcfLEYCzo6N4ZW5c4jQ+k/4xZEo7Orh7l0H+bRFLtGkVggsz0jmrkmZ5ISO\nbyxuAGjrc3HZqgq+rJYrc/xrRztup2JIUFZ2OKkxu3B7j37zjQxSkRmlJTNaS0akPE2P1JISriE6\nRI16grikA4wigSz1b0dWVhYulwuTyQTA/Pnzef755w/fgZ88VRwroijx3y123t7Yz6s75M4cOo3A\ndaeFcsf5JjLiJkYW67GwudbCze9Xs7dZFtSnpIfw5/PTmRLn2/qVnXYXv/i0lLfK5Ew+nVLBuRmR\nzIsPJTPMQG6EkRyT72ts7jZ388P1O6iz2gnXqHl50QzOSxp7N79XFAl980Os3sNjuuov+gFJxvFx\nFTfb7Zy/aQu7u7sJVat5d8E8TveDQu5mp5Ort+/gk9Y2BOD+Sfn8Nj/Pb0plHQmzw8nde4p4vbaR\nSLWWHpeHG7JTuT0/g4QxtJQHODJdNjdPbWjm8S9acI0Qk0pBwNt3+IN4fKiazGgtmVFaMqK0AwJT\nR0aUllB9IJHLH/AXLSIIAuR1jO5GS6KObwtnRUXFd/1Tv8Tllnj1s36eeNNCSZ1sOZo2Vcd5c4zc\ntDSc6DB/K+T13WnqdXL3x7W8ViiXFEoK1bDinDQumRLh8/CAj6s7+MnaYlqtLoxqJU+dms1PpyT4\n/Li+yr/KGrhvZymoJeZEhvPWKbNJCRp7oWf3eLl0445DxGZmsJHFMZFckBg3bmJzX08P527cTKPd\nTrrRyEcnLSTXDwql7+js4uKtW2mw2YnQaHht3hzOio395j/0EZIk8XJ1PXfuLqLT6UKjUHB9dgo3\n52YQrh29h9vBm4O/nUf+QK/dw54mK7sa+tnVaGVXYz/Vnc4jvtcrSlw1J5xpiQYyo3VkRmlJj9Ji\n0Pg+fCTABML3utcnHD8q6jtisYr87cM+nnrHQrNZvoknRSv51SUh/GRpEMGG4+fp1OEW+dPGJh7+\nohGrS0SrErjnlETuWZzwrYPhR5s+l4c7vijnpf1yKZ1FCWG8vHQS6WH+ldjhEUXu3FbCM0VyNvhd\nU9N5cFYuGuXY33DaHU4uWL+VbeZutAoFl6cm8NC0SSSMcceir/JRcwuXbduG1eNlYWQEqxcsIErn\nW1e1JEm8UFXNbYWFuEWJuSYTb82fR/I4CfDvQmlvHzduL+TLNvnB79SYSF6YO23UXeebW7u4Z2cx\ntxek88M0/49fHUv6HF72NsmicldjP7sarFSYDw/P0akEQnUqLE7PoTGYAlw+L5xz8wNxtAG+Byeo\nS/2EFZxtXV6eedfC8+9b6LXKF5RJqWruvjyUK043HndxNf/d3839n9exp0V2ny8riGDFOamkmXwf\ni7qhoZsfrTlITa8djVLgoUWZ3D4rxe8C5DsdLi5bt4d1TWbUCoHnFhZwfV7KuOy7uMfCOV9spdZq\nI8Vo4MNT51MQNr4WRUmS+EtFJbfv24cowZXJSfxj9iyf137sd3u4YfduXqtvAOCmzAyenDp1XB4C\nvgt2j5eHi8p47GA5blEiUqvhT7Mmc3Va0qhaIIu7+/jNrhLerxssMl19wgnOXoeHz6q62dnYzwf7\neintsPNVT6BGKTAt3sisJCMzE4OYlWgkP8YwlCxptrpZV9HLp+W9NPY6mZ7gvw8xAQL4M6NSh/Nr\nd+AncRODVDS6WfFmLy9/0o9zIOfipCla7rk8lKXz9Medy6my3cFt79bzUVEvizKNdEtOnjk/jdMz\nfdOOciQOj5ffbqziT7vqkIDp0cGsXFpAQZTvS+l8laIuCxd8sovqPhvReg3vnTmLhbGmcdn3upZ2\nfrhhB71uN7Mjwvlg8bxxKSI/Eo8ocuvefTxfJSdxPTApn//Lz/P5+VJqsfDDLdsotlgwqpT8fdYs\nLk9O8ukxfR2fNrfz8x2FVPXJD34/zUzhsRkFmEbRfd5otfP73WX8u6IBUQKjSskdkzO4Y3I6IRrf\nF98fSyRJYn+blTXlXayp6GZLgwXPQN2hYFGL3SUxJc7ArCQjsxKDmJUUxKQYPRqVfz6cBPh2SJKE\nwwE2O9hsYLNLA1NYNF/pF1pEEATINo/uRssjj+8YzonGrjInj73ey7sbbENPuBcs1HPPFaHMn+R7\nK99oY3N5eeSTFh7/rBWXRyJEp+SHU0388pRo1H5g+dnTZuGaj4oo7rSiFAR+PS+V/5uf7pdWqdU1\nLVzzRSFWj5cZkaH856xZJAWNjxv7H5W13Li9EI8ksSwpnlULZ2JQje9pa3G7uWzrNta2tqFRKPjX\n7FlcmeKbYu7PlFfwcUsr/5w9i82dZn6yczf9Hg95IcG8M38++aG+jyM9Eq12B7/adYDXa+UOR5NC\ng3lx3jQWRY9eh6Nup4tH91Xy54M1OLwiKkHgxrwU/m96FrHHcavLQSvmmopu1lZ20WRxDa1TKuCk\nlBCWZJlYnBLG9PggdGr/u8acqIiiSL9VoK9foq8f+vol+q3QZx1eHlpnHVg3Ynnk3+SmKvlyg6//\no2Mk4FI//pAkif/tdPDYG718sVeO01Gr4Jozg7jr8hByk4+fjPNBJEniP/t6uP3deuq65AvvNXMi\nePzCJGJDfW/d8IoST2yp5381XRR3WskON7ByaQFz431TWP7rECWJB/dU8Pvdcn3JKzPjeenkqRjG\noXuPKEncV1jMowflfd+Vn8Wj0yeNe6Z1ndXKuZs2U9RrIVKr4T8LF7DQR20g+90e7ttfhNXrZcon\nn9Llln/flycl8dKsmQSp/e9yJkoSL1XUcs+eg/S63eiUCn43OZc78rNG7eHK7vHybHENDxdW0jNQ\nKuuy9HgenJlLZqjvqzmMNl9nxQSIC9awJCucJVkmzkgPJ0zvf7+L4xGvV6KrV6KzR8TcLdHZK2Lu\nFunskeRp78C0R8TcI7/P5QJL/eg8vGcmyRVrtVow6MFgAINeGJjC1s9GZTcBvgfH5Zno8Ui885nj\n/9k77/Cm6jYM30lHuvceFDpogUIXlL1lC4iAggNZCqLiXjhxfSrugbIURQEFBNl7r1YoBVpKB3SX\n7t3snPP9cQDBRbFtEpD7unolPU2TX9qcc57zjudl3i9VJGVKJyVHOxkzRjryxFgn/D1vyrdNRoma\n2aty2ZYmecZF+dvyxV1B9Apt3iYEURT/VSo1v0bN/WvT2JcrTTF6qV8wc3q0xs7K/Bqz6nV6HtiT\nzC85xciA97q245lOwUZJIav0Bh44fJxVeYVYyGR8FR/Fg2HG97Y8VVXDnFMppNTUEuHoyKbePU06\nOWhVfsHl7vxKrRaZDOZFdeKptmEmT+3/FaeqapiZkMyRMslebaifN1/GRxHs2DwiUC8IfJ9ZwGtJ\n6RQ0SBfUA/w8eK9LOzp7mr5kpjlpbBRzWJgbUT72Zvl5uBERRZGqOoGCUgMFZQbyS/UUlBkQdDJO\nnYby6t8FZXWd+Kf62Mbg7CxiZyPH0QEc7GU42oOjgwxHh4u3F793sP/ztsu/4wAOdmBnJ8PibwaV\nmNVHwvSZfZNwUykvpUrkm19VfPh9AzlFAt3jLfF21fPEOCdmjnLExcH8hE1z0KAx8NbWIj7cVYLO\nIOJsa8Fbt/szs7dXs08JOlFYz4xfzvHt+DA6+DS+eH5VaikPbcygWq3H296Kb0dHMCzMPCYF/ZHz\ntQ3csf0YpyvrcLa2ZMWAWIa18jLKa5erNdy57ygHyipxsrJkdZ+uDPI1zmtfyfHKKgbvPkSdXsfE\noEDmx8XgYm3ajMAXmVlXfS+K0jrNTVzoBIGvM7J58thpDKKIr60Nn3bpxLhWfs2yVlEU2ZBXwou/\npXGmuh6AaHcn3uvSjkH+N8+4S5XOwJr0Mo7m17IgoeRPUcyhoVIUc1DIrSjmv0EURcqrBQrKDBSU\n6f8kKi99r9L8WR3FhytIPPLnCL2rkwwPVznuLjI8XC7euspxd5Hj4SKTbl0v3rrIcXOWYWV1c3xe\nb3Ftboq9tKJa4MuflHy+Ukl5lbRzhAZa8ODtdkwc6oHNTeqRJooiq09U8dSaPAqqpVTa1O4e/G90\nAF6OzZs+1xkE/rengDd3FaAXRObuzOPn+yKu+Xt1Gj2zt2axNFmaxHN7W3eWjArHy948yxl2F5Yz\nfudxKjU6wp3t+XVIF8JdjBPVK2hQMWjbYdwUVrSys2XTgB5G70QHOFJWwdC9h6jV6Rnp78O38Z1R\nmLgTfX1BIUnV1X/aXqnV/sWjTUeJSs1dBxJJqqzGx1bBmEA/3opuj3MzNetcsjg6VFIFQBtHO96K\nC2dCiL9ZG9tfDydL6licfIEfUoupVutxs7FEBHq1cmJ421tRzOtBqRbIKNJytkBLeqGOhlpITNGT\nX2qgsFyPphG7j5O9jABPSwI8LQjwsiDA04LWPpbMuccKd+ffBaSrkwzLm8zdpcW4VcN545FbZOCj\nZQ0sXqtCedFKrXN7S56fYs+YAYq/Da3fDKQVq3js5zx2pUvp89hAO768O4hubZpfHKUWK3ng5wyO\nF0qdtY/28OXdYde2A0ooqOWeX85wvkqNjaWcjwaHMLNz80R5mhtRFPkyNYcnjkjz0IcHerF8YEyz\nCYVrkVlTz6Dth8mtV9HR1YlDQ/q26Cz2v2NfSRkj9h2mQW9gXKA/P/boYvJGrtSaGu5P+O3y96H2\n9twZ6M8wXx+T1ZP+FUfLKhm7P4EilRpfWxt+7NmZvj6ezfLc9To9TyamkFnTwKGSKjxsrHk1pi0z\nIoJM/v9pDmo1elaeKWFRchHHLtRd3t7Z15EHo/0Y09YTTzO9SDU1oihSWKEnvVAnCcuCSwJTS16Z\n/qrH9m5rz4Hk34dGuDrKrxKSAZ6Wl+8Helni72mBk/2N//kyO26l1G8cTmfqeH+pkhVb1VwauDKk\nhzXPT7GnX2crsxA0ZTV6nOzkKJq5I7JObeDNLUV8vFtKMbnaWfDOqAAe7OnZ7L6VBkHkg/2FvLo9\nD61BJMhVwbfjQ+kf8s/1YQZB5H8Hc3l9bw4GEaK87Vk+tj3tPc2zgUEvCDy2L4206joMosgL0SG8\n1TnCaD6gJytrGLL9CCUqDd08Xdk0qFuz2uQ0lu0XSrhj/1FUBgP3tQ7k225xWLbwTPhrcbS8guEH\nDlKr1xPm4MDKbvHEuhvHjqqxiKLI15nZPH7sFDpBpLeXOz/3jm8266ojpZXct/845+uU+NgqmBMV\nyvNRoTe8xZEoihwtrGXxySJWnilBqRMAcLGx5L4OPkyL9iXa+9b8+EuoNAKZRbrLYvLsRWGZUaSl\nXvXXCsbKEkJ9rQn3tyIiwJoOATa8NtGKAC8L/D0scLC7JSZvYTxuGMEpiiL7j+t4f2kDmw9KeQAL\nC7hnmA3PPmBHdIR5HHyVaoFP1lfx7uoq3rjXnSdGN89EClEUWZVYw+c7yzlUVAUyeKinJ2+P8sfD\nofnfe0aZigd+zuRonhRteCjemw9ub42j4p8/MjnVKu5fe5aDeVJj0NPdA3h7QDAKM/W5q9PquXtL\nMltyy7GzlLNycCx3hxrPHPtwSSUjdh6lWqvjNj9P1g6IN0m39cbCC4w9kIBWEJge0pqvu8SY3Hh/\n24Vi7jx0BKXBwCg/X1Z274atERwCrgeV3sDDicl8dz4PgMcjQpgXG4lVMwh1nSDwRnI675zKQBAh\nys2JH/rEEelqntZPjaVcqeWHlBIWJxeRWt5weXufQBcejPFjbLgntmbYSGhM6tUGjp1XkXhOReI5\nJeoGOZsT/mxafwkPJwsiAn4XluEB1kQEWNPG26rZ6/hv0QzcSqmbJ4Ig8uteDe99qyThtFSnaGsD\n0+6w5an77Wnjbx4HJoNBZNmeWl75sYKCcimNcSzrzyPT/g0ZFzQ8uqyQHSlSg8B9fTyZPciDLkHN\nnz4XBJHPDl3gxa25qPUC/k7WLB4XytDwawvn5adLeHhTBrUaA74O1nw/JoLbgs0rGnUlBXVqbt9w\nnJPldbjbWPHr7bH09DPeyLodhaXcsTsRpd7AmFa+rOgXZ5JayTV5hUw4lIheFHkkLJjPOkeZvB5w\nZV4+kxIS0QkiD7QOYnEX00db/0h2fQNj9yVwoqoGOwsLFneLYWKb5jGdP1tdx337j3O8ogYZ8Fxk\nKG/ERpi8lvbfIogie3KqWJRcxNqMMrQGSTl52VkxuZMv06L8aOv+35zgozeIpOSrSTyvIiFLSeI5\nJWcKNVzRI0WvYAcs5BDiY3VZTEoCU/pyd7oxPxf/WW6l1M0LjUZk5VY1//u2gfQcKW/u5izj0bvt\neHSCHZ5u5nPy2Z7UwHNLyzmZrQEgOljBB1M9GRjVtAOoUiPwzoZS5m0uQ6sXcbW34N27fJje1w15\nC0SfzleombIqk/3ZUl3opFhPPh0VfM0O0Bq1nke3ZPLDKWmE3h0RHiwa2RYPO/OtuUouq2XE+uMU\nNWgIc7Fj86g4Ql2Ml/Jfk1PExH3HJEEVGsjintEmEVTLc/KZdOQYBlHkmXZhvB8dafKSlC8zs3gs\nKRkReDo8jPejOplcAP+RbUUlTDz4G1VaHSEO9qzt25WOrk33khVFkS/Tsnn2WCpqg0CQgy3f946l\nj4/51KpeD9VqHT+mFvNRQj7nq6ULcBkwLMSd6VG+3B7mcVPUoP6RrSk1fLyrlA/HBRDp/3sttiiK\n5JbrSDynJCFLReJ5JcezVai0VysQSwuIaWVLfIgt8cF2dG5jS7if4qYbuXyL/xZmJzhrakUW/Kjl\nkyVaQkMgPcdAK185T99vz7Qxttjbms8Odypbw7PflrH9hBKAQA9L3rrfg/v6OTZZEG44UcvsZYXk\nlEtR3Wl9XXn3Ll88HJv/XyaKIgsSinlmUw4NWgFvBysWjg1hVPtr2xYdza1l0vozZFaqsbOS88mQ\nUKbH+ppctPwTW3LKuGtLMvU6A739XFk7IgZ3W+OJ428zc5l+KBlBhMfbB/NRfKRJBNU353KYnpCE\nCLwSGcHcjqYdVSmKIm+kpvF66hkA3uvUkefahZtsPX+FIIq8k5LOqyfTEIHb/X1Y1jOuWSyjipQq\nph5MZlthKQAPhAbyadeORmtca04adHo+T8rnvd+y6eTuyPlqNYFOCqZF+TGlky+tnG/eyUc/HK1g\n8nc5GAR4f2sx93XxIOGc8mJ6XEVprf5PvxPibU18sC1dQ+2ID7ElOsgW25vUXeUW/GdT6mYzS/1C\nicAnS7R8/aOW2otNivHRch59UM6EobZm5dVVWKHjlR8qWLqrFlEEJzs5c8a7MXukC7aKph0kssu0\nPP5DIRtOSH+EqFY2zH/Anx5hLRN9y6/WMG11FjsyJcuZCVEefDE6GHf7fz7JCYLIe/sKeWV7Lj1a\nO6KUafnxzvaEe5h3Wuzr03k8ujcNgyhyT7gv3wzsaNT60k9Sz/FkYgoAr0eH82p0uElE3vyMczxy\n7CQAb0e1Z06Ha1tctSSCKPJ4UjJfZJ1DLoMFcXFMDzG+2f0/UaPVMenwMdYXSMMAXu/Ujpc7hjfL\nxcLqnCJmHE6mUqPDTWHFwh7RjG1tvFri5kKjF1h4qoC3E85TopRq7QcEuvFUbGuGBrubvC64pfl4\nRzFPrS68/L21XI629uoggbuDBfEhtnQNsSM+xI4uIbYtEki4xdX82/nfLbEOgv5s8dYkcl1uzVJv\nDOnnDMxboGXZLzouWer1627BczOtGdrP0qwiZbVKA++truLjX6tQaUUsLWDWcBdeudsdD+em1dBo\ndAIfbCnjrV9LUetEHG3kvDXOh1kD3Vuk6FsURb5PqGDJsWIO5NfgYW/J/DtCGN/p2qm74jot96/M\nYGeW1BgUH+DI20NaoTCzho4rEUSR5w+l80FSDgCvxIcwt2uo0T5foijyenI6bySnA/BJfCSPdwgx\nymv/kY/SMnn6xGnpfmxHnowIM8k6LqETBKYlHmNZbh7WcjkrunflzgB/k67pj6RU13LnvqNk1jXg\nYm3F8p6dGebv0+TnrdHqmH30NN+fywdgqL8X3/SKwfcGm32uFwSWnbnA64fPkVcnpc67+DjxTq8w\nBrZyM6vjeHNT1aBnR1otL64t5Hz51caWWoNAVCsF/ds7EB9iR9dQO9p4moeTyi1MiOl1r0kwmeA8\nmqTn/a+1rNumRxSlsVNjh1ny7ExrusaYXAdfhU4vsmhbDa+vqKCsRqonHdfTgf9N8iDUr+mptB0p\ndTz6fSEZxdLB6p7uLnww0Rdfl5ZJpZXV6ZixIoe1J6vxdrTkro4efDa6Dd6O134v29KrmPRzJqX1\nOjztrfjurjCGRRiv0ebfoNIbuH/bKdacK8FSLmPhgA5MaR9gtNcXRJEnEk7zeVo2chks6RnD5LBW\nRnv9K/k87RzzM84DML9LNA+HBZtkHZcwCCIPHDlGvlKFo6UFv/bqSX9v409W+id2Xihl9N6jKA0G\nolyd+aVP12YZT7m/uJxJB5LIrVdha2HBvC7tmRXR5oYSI4IosjqjhFcPZZFeJZUWdXC3562eYYwO\nvXmmHl2JKIqcKlCxOaWGzSm1HDlfj0H4mwfL4J5+Tjw3pOkXJ7e4ifiPptSNquxEUWTzbklo7k+Q\nhJu1NTww1opnZljTNti8ImSiKLL+aD3PfVdORqFUS9k9woYPpnrSo13TTbkLK3U8tbyInxOlSGE7\nPwVfTvKnf/uWm2yz8XQ103/MpqROj6ONnPfuCGRSV/drnhh0BoGXt+Xx/j4pXTQgxJllE8Lwc1K0\n2Fqbg1KlhlEbkkgoqcHZ2pI1I2IYGGi8kZoGQeSV42l8npYtRe/6xnGniVKlizNzmP3badwV1nzT\nNZYpIa1Nso5LiKLIrGMnWJFbgKOlJdsH9KGbh3mNO/3uXC5TjyTR1cONEEd7FnSNxs6yaYdNQRT5\n+mwOjx49hQjEuTvzQ584IlxuHM9JURTZkl3OSwezSC6Tyn+CnW15o2coE8J9brrUea3KwM60Wjan\n1LAltZaii5PdACzl0K+tA33bOiJDRC6D00UakvOV5FRo8XW+8Wpwb3GLlsAoglOnE1nxq455C7Sk\npEuXgs5O8PB91syeYo2vt/kVRyee0fDM/Grk1gIZhTpCfa149wEP7uzh0OSrdp1e5OvdFcxZXUy9\nWsDOWsard3jz5FAPrFuonrBebeCpX/JZdKgMgD6hjnw3qQ2t3a8tGLMr1Uxcnk5Cfj0Wcpg7qBUv\n9Asw+5PK2cp6hq8/TnatiiBHGzaP6kx7d+OMqQRJbE7Zm8yPWYX09nPnlZi2DPI3TfRuVU4hDx1J\nBmBuVIRZiM3nklNYmJWDjYWcjf16mJ3YnJ9+nkcSpTrXwb5evNYposn7vlpvYNLBJFblFBHj7syI\nAG9ejQ5vFt9OY7Evv5I5B7M4XCTVofk7KHilWzBTI/2xukk6zkVR5Gyxmo2naticUsPBrHr0V0Qx\nfZ2tGB7pxLBIZ25r54Sz7V8HS0RRvCmjvLdoIrdS6i1HSO968oukv7Cft4wnp1vz0D3WODma346Y\nc0HPnEXVrNgppYeCvC34/CFPHhrqgnUzNC4dSlPy8IISbBRQrxa4s7MTH9/jRyuPluuSPnSujknf\nZ3O+XIO1pYx3Rgbw5ADvRnXSrzpVzvTVWdRqDAQ6W7PinnB6tjZ/4+kD+VVM3XWa7FoVXbydWX97\nLD72xovGGgSRaftOsiyzEHtLC96KbUcfP9MIqq2FJdx78Bgi8GZ0Ox6JMG0aHeDt1HQ+SMvEUiZj\nTa9u9PEyL9ufeakZPJeUCsAHcZE83b7pda7lag2jdydyuLQSJytL3o1rz2ATXYD8G34rruHlg1ls\nz60AwN3GyI2n6QAAIABJREFUijld2/BwVOBNY9Re0aDjx+PlfJNYhquVFXvPSOcBuQx6hTpcFplR\nAbaNEpK3xOYt/pL/aErdKF3qBNYQESrnuZnW3DPaCoXC/P7YVXUC7yyr4bM1dWh1oLCGJ8c78cK9\nTjg7NP2qvaLWwPPLSlmyU0qfB3tbMX+WF0M6tVwaTasXeH1TEe/tuCBNKvG3ZdkDwXT0v3YnuVJr\n4MkN2SxMvOit2cGNJeNCcbMz//TQusxSJqxPoY2LDZE+dnw3uCN2RjwhCqLI9H2n+DY9HztLCzYP\ni6evicTmodIKBu04jMpg4Kn2IXwQZ3qfzc/Ss3j8+CnkMljRI567goxXT3stRFHk9VNneePUWWTA\nV12jmdG26d3ymbX1DN9xlKy6BgLtbdl0Wzc63iATg3Jqlbx55DzfpBQB4GRtydOdg3giNgina0we\nuxEwCCI7M2r4JrGUdaerLpvSdwm0p72rI8M6ODG4vROu9jf+e/0vY1Zd6v61zfukhU63utQvsW6x\nLSNvs2wRs/KmotWJfLWujje+q6WyVsqZ3DfYjrcfdKGVd9P/PIIg8t2eGp79royKOgNWlvD8GHfm\njHVvsoXSP5FSpOT+77JJLlAik8ELg314fbh/o2a7pxYruXt5OqklShSWMj4c0YZZ3X0aJVR0BsGk\nabVFJwuZuT0NQYR+ga58cZvxZqKDJDYfvEJsbhrWxWRiM7mymhG7jqAyGJga2sosxObS87k8fvwU\nAAvjY81ObD5zPIWP0rKQy2BpjzjuD256c9ehkgpG706kQqMlxs2Zjbd1xc+u6TXgLY0oiixMyeeZ\nA+lEezhhaynnsZhWPNeltVF9a2vUehYmFfFE14BmPbacr1CzNLGMpb+VkV8tNWzKZDA0wpmp8V6M\ninQ125G8t/hntFqR3DzIzhHJzhXJyZW2m/r4d5kW0IbGfG8hIf/OYcUognP0YPOLiomiyC/7VDy/\noJpzhZIRb78YBR/MciUuvHkOpim5Gh5eUMzBNBUAAzraMX+GN+H+LZfaFQSRT/aU8OL6ArR6kTbu\nCr6f1IZeodeOpIqiyOLEEh7fkI1KJxDuacvKe9oS7de4usfUYiV3Lkvj01HBjRqF2ZyIosjbR7J5\n5aDUgf16z2Be7WHcjl9BFHlo/ym+Sc/H1lLOxqFd6OdnmlRxRm09Q3YeoUanZ2wrPxZ2izH5wXZN\nXiHTEo4Dkh3TNBPXkV6JIIrMSkhmQWYOVnIZK3p1YWxQ062Zfs4uZNKBJDSCwPAAb37q2xkHK/OP\nlOXXqZi2M4UdeVL63MfemowpvQhwMp5dU4PWwOeJBbx/OJ8qtR4nhSUz4prWcKfSCqw5VcE3iWXs\nyfo9yhTsrmBKvCcPdPYk0NW8GyFvIY2SLiy6KChzICdPvCgupW2FRfzl3HmziXC2AObw3q6F+R/5\nWoCjqRqe/rKKwynSVW1EK0vef9iF23s0ri7nWjSoBd74uZyP1leiN4CXswUfTfHinj5OLXrSz63Q\nMHlZNnszpa7R6T08+GhsKxxtrp1OrlMbeGZdHj+mFKPSCUyO8+Lz0cE4KBqXiv4lpYJJP2XQoBWY\nt6+QIW1djCZwDILI47vS+fJEATJg/qAIZsYYN3ImiCIz9p9iydlLYjOe/v6mEZv5DUoG7ThEqVrD\nYF8vfuwdZ/IGr21FJUw8nIggwmuRESb3/rwSvSAw9UgSy87nY2Mh55e+XZvssSmKIvNSsnj+uDQ1\naWZ4az7v2tHs5sH/EVEUWXqmkCf2n6VWq8fdxor5/dtzV1tfo61BoxdYmFTE2wdyKWmQusH7BjkT\n7f3vGv5EUeRYfgPfJJayIqmCGrXkkGJrJWdclBtT4z3pE+xklhm4/zKiKHKhRCTjnEjGeYHM89Jt\nxnkBLycL9u/9+31JLodWgdCmtYw2QdLtqy8acfHX4lYNZwu9gAnrJiqqBd74uoH7R9rQuYMV54v0\nvLigmp/3SIXgni5y3pjmzPQRDlg204zaXxPqmL2khLwyPTIZPDzEhbfv88TFvuVqCEVRZPXxaqav\nyKZWbcDL0ZLF97ZhZEeXRv3+yQIl45dkkVmmoW9bB6b3cue+2MY1MwiCyGs78nhrdwEA90R7sGhs\nKHbWxqmZ1OgFJm1K5ef0EqwtZCy/PZKx4d5Gee1LCKLIwwdOszAtT+q4HhrPwADTiM0ytYbeWw+Q\nXltPd083dtzWA3sTR9QOlpYzeM8hVAYDT4SH8lFsR5NHWy+hNQhMPPgbv+QVYW9pwcb+3enn49mk\n59QLAo8lnObr9BwA5nXuwNMdQszmPf8dRfVqHtqVyqYcyclidLAXXw/oYLRmO70g8P3JEubuzyGv\nRgNAZz9H3unfhtuCXa/771dW/3sD0OkLysvb41vZMzXeiwkx7jjb/idjLmZFdY1IxjmBjPOXbn+/\n36D869/p08WC9BSLqwTllfcDA/jTdEKzquH0qWveJy12NIv3di1uWsEpiiJ3PlHDut1a2gTKGTVU\nzvx19ej0YGMt4+m7HXnuHiec7Jsn4pBbqmP24hLW/1YPQGywgq9m+BDftmVrtaoa9MxcWsDa47W0\nDpARGWDDgomt8XS8dhmDKIosPlzO7NW5qHUiHf1sWTUthHDvxq25RqXnvp8y2JhWhVwG7w9vzVO9\n/Yx2Yq3V6Bmz9iS786pwsrbg1zuj6NfKzSivfQlBFHnkYApfn8nFxkLOhqFduC2gaYLl31Kj1TFg\n+0GSKmvo5OrE3sG9cFUYr9bur0iqrKL/rgPU6vRMDQ5icddYsxFeKr2BsfsS2FJUgrOVFVsH9qCb\n5/V/fi4d32QyGXU6HXfvPcaWwlIUcjnL+sQyvrV5TU36I6Iosjz9Ao/tTaNKo8NFYcnn/dpzb7iv\nUf5Xgijyc2opr+3LIaNCKj+K9LLnzX6tGR3ucd1rSC9TMv/oBRYcKENzcWy5h70l93f2YGq8F5G+\n5j1+92ZEEETO5QmkZYiknr0iWnlOoKzi73/P3Q3aBssJayOnbYiMtsHSbUhrGQ7Xee6+JTivj6lT\np7Jp0ya8vLw4ffr0Xz5m9uzZbNmyBTs7O5YuXUpMTMw/PudNe3n3w0Y163ZLKfPsIh2frtYhk8ED\nQ+15c5ozgc3QEASSp+ZH6yt54+dylBoRR1s5b9/rwayhrli0wEjKK9mTVs+khXkUVOpwsJHz8hB/\n7u/RuEhAvcbAwytz+eE3aW+f3sODz8YFYWvduJ34bKmSO74/S3qZCjc7S1ZODGdQ28ZFVJuDkgYN\nw1cnk1RSh7e9NVvHxRDtbVzjbFEUefSi2FRYyFlvQrGp0hsYtecoSZU1hDras+22HiYXm2k1tQzZ\nc4hanZ7xrfxZGG8+YrNOp2PUnqPsLSnHQ2HN9tt6EuN2/Z9fvSDQc9MBABb2jGLywWSSK2twV1iz\nfmBXengZ9wLoeilp0PDwnjOsPSe5UQwL8mDRbZH4O7R8raYoimzMqODlvdmcKmkAIMTVhjf6teHu\nDl7XXQaSUa7izd15LD9ZhiBCrJ8jPvYKpsZ7MrKDa4t5HN/iavR6kbTzBk6k6Uk6o+dEmp4TaQbq\nGkR6RCg4fPjq/4OdLbQNkdM2WEZYsHTbNkQSme5u5nG8aHZugJT6lClTeOyxx5g0adJf/nzz5s1k\nZWWRmZlJQkICDz/8MEePHv3H57wpBWdukY7pr11xBWGQY2WwYMfn7vSNbb4D6YFTKp5dVkJCljQ7\n+O5ejnw0xQs/t5ZtktLoBF75pZgPtpQhitAtxI4fZrQixLtxqa+UIiXjl5zjbIkaO2s5X08I4v74\nxqeAN5yp5N6VGdRpDHT0sWPdpHYEuxuvmeB8tZLBP5/gXLWKEBdbtt8VQ7CLcaMWoijy2KEUvrok\nNod0YZCJxKaUwj3J/pIK/O1s2DGoBz62pp3FXaxS80LSGWq0eob5evND9y4mryO9RL1OzyMJJ9lb\nUo6vrQ27BvWknfO/syg6VFpJYrlkgN55w370okiooz1bBnUj1Ml4Qwb+Dasyi5m1J5VylQ5Haws+\n6dOOKe39jXJRsDu7ipd2Z3O0UGrc8Xe05rW+rZkc5XPdneiZ5Sre3JPHj8mS0LSUy5je2ZsX+gbQ\nxq1594Mro9m3ALVG5HSGJCgvictTGXrUmj8/1s9LTmQ7Od06Wl4UmFK00s9H9t/7e5o+0HpNevfu\nTU5Ozt/+fP369TzwwAMAdO3alerqakpKSvD2/vuStptOcCac0tF3ShVa3ZVbZehqrTiSZKBvbNNf\no6LGwPOLqliyuZ5eUdaE+BiYP8OHwdFNn698Lc4Uqrn361yS89RYyOGV0d68NMoby0ZGU5ceLWfW\nT7modALtfWxYNS2U9r6NS6ELgshbu/N5bUc+AOM7uvPtXWHYG6leEyC5pI6hq09Q0qAl1tuRzeOi\n8TaioTtIJ525xzL5MlUSm78O6czgQNOITVEUmX0khZ+yLtDL050FPaJo7dDyn8N/QqU3cMeeBBLK\nqxgX5Mt3PeOwNpMJNDpBYNy+RPaVlDPA24OF3WMIcfz3wvDXvOLL9/WCiMJCzsq+cWYtNstVWh7d\ne4afMqS13xbozpLbImnl1PJWTUcLanhpdza7cySR7mlnxZxerZjZ2Q8by+s7jmRVqHhzdz4/JJde\nFprTOnsxp18grV2bV2iqtALLj1Xw2b4SPh8fRJ9GuH7cbNQ1CCSnXYxcpkniMjXLgMHw58cGB8qJ\nbWdJTDtLYttLt94e5nEMuEXzUFhYSGBg4OXvAwICKCgo+G8IzuwCAy9+Ws9PW3+/tJLLwNkRHOzk\nuDrJ6dqpaZFHURRZtqOBp7+qpLxGwNoKBkTZ8sJEb2wb2c3dlNf+cmcFz/5UhFonEuxpzQ8zW9E9\ntHHiQqk18MhPeSxNKAfgga7ufHlXEPaNXHedRs+knzJZl1qJTAb/GxrEc32NEw25xJ7cSkavPUmd\n1sDAIDd+uaOTSYynXzmayQdJOXT1ceW1LmEMCTTdtJhPUs/z1dkcFBZy3o/rQHsX05qJi6LItMMn\nSCivIsjeli/jmz57vLkQRZEHj5xgW1EpHgprvu7WNLEpiiLLz+VftU1jEHjheBo7hvRo6nJbhM3Z\npUzdmUKJUou9lQUf9ApnRsfAFt+PSxu0vHM4h8+OFiKKMpwVFjzboxWPd/XHwfr6Ph9ZFSre2iMJ\nTYMgCc2pcZLQbO6IZmG1lvn7S1lwqIyKBqkg9JsjZf8JwVlYpmdvkoY9SRrqqmWs2mj4k9WQXA7t\nQywuC8vY9hZER1ji4nRLXP4jN0BKvTH8sW70WscR8zgTNIHqWoG3Fyn57EclWh3YKOCpSXY8PckW\nN5fmE4HpeToe/qSCPclS+rxftA1fPeFGRKuWr5MrrtYxdUk+W05JZQJTervy6b3+OP7N/N4/klas\nYvySc6ReUGFrJefLu1oxpXvjI3KZ5Sru+C6NM6UqXGwtWDEx3Og+m+vTy/nsWD51WgN3hXvz/YgO\nJjFl/jApm7d/O4+FTMacmDCGtTKd2FyXc4GnE6Txi9/1iaG7t+nrBd8+ncGKnAIcLC3ZMKAbXrbm\n42n4cnIa3527aMg/sDthTYxCLj9XQIlae9U2D4U1d7VumldkSyCIIq8nZrItt5wSpYa+/m58M6gj\nwc4tX4ryc1oJs7anU6HS0SvIhd7+rjzbIxBX2+sLAJy7KDSXXRSaFnKY1tmbOf0CCW5moXk0u55P\n95aw+kQVekE6qcYG2vF4P2/ujjX9ftYSXCg3sPeEmj1JGvae0JCZr7/8s27tFFhayOnY9kpxaUmn\ntpbY2d4c4ukW14e/vz/5+b9fcBcUFODv/88Nkjes4NTqRL7+WcXcrxqorJEOCPfdruDt2Q608m0+\noanWCrzzYw3vraxBqwMPZzkfPuzG/YPsjRLd23CihmlLCiir0+Nqb8HCKQGM69L45oYfEsuZsTIX\npVYgwtuGVdNCiPRr/Elmc1ol96zMoEZtoIO3HesmRRDqYdwpKStSSrh/bRoGEV7pG8zrfdogN0HN\nz5LUAp45mA7A0kEdGRVsOrF5vLyae/clIQJvx0Vwd7DpO6FX5xbySnIaMmBFn850dHU29ZIuM//s\ned45nYGFTMaqPl2I92jaBVNevZLZCb93bo5p5cO0tkEM9vfCysy8NlV6A5N3nuLnrGLkMvi4Tztm\nRwe1+D5U2qDlke3prE4vBeC21m4sHhZBkPP1HT/OV6p5a08e35/4XWhOifPi5f6tmlVoavUCq05U\n8dneEhJzpSYmCzmMj3Hl8X7e9Ah2uKFqDetVAjbWsr8ttyqpNLA3SXNZZKbn6a/6uaOdjN5RCvrH\nKugdpSAmzBpr6xvn/Zs1N0AN57UYNWoUX3zxBRMmTODo0aO4uLj8YzodbkDBKYoi63Zref7jejJz\npeKRvp2t+PAZB+I6NG+zzs7jKh7+pIKsi5OIpg134L0HXXF3bpn0eW6pjme+L+HJ292IaqPg6RUX\nWLBH6iIf2N6B7x5shX8jG5JUWoHZq3NZfFhKod/bxY2vJ7RutJG7KIp8sKuYDalV1KgMjIl047u7\nw3A0cgp7UVIRMzZmIAIv9mzF3D7GnR50idWZxTy0OwWAz/u2474I00Wx8uqV3L49AaXewOSwQF6M\nMr2J+vGKaiYdTAJgXlwHbg9omnF6c/JLbhGPJkrjNBd1j2Z4E9d2Qalm4NbDVGp1tHN2YPvgHgQ4\nmOeoygsNau7YnERiSQ2OVhb8NDSGYUEtX2/8c1oJj2xPp1ylw8Hagg/6h/JQ9PWV4GRXqnhrTwHf\nnSi5LDQnx3rxcv9AQtyb7+9dWqdjwcEyvjpQyoVaqfjfzc6CB3t6Mqu3F63czCdK31j2nVIxau4F\nYkMV7HlPuhgtqzKw94QUvdyTpCYt52qBaW/7u8DsF6Mgtq11s/lT3+IPmDClvmrVKl5//XXOnj1L\nYmIicXFxAOzYsYMXX3wRrVaLtbU1Tk5OnD17lvLycgIDA5k7dy46nbR/zJgxg+HDh7N582ZCQ0Ox\nt7fn22+/veZr31A+nL+l6Hh6Xj0HkqQ33ba1BfOecmBkP+tmFSEllQae+qqS5bukq9z2QVZ8/aQ7\nvTu1bOfvmPfyWZdYj5uTDDcPkaxSLdaWMv433pcnBns0ehJGVomGqUvyOV/fQLlSx+fjg5jeo/F+\ndmqdwIyV2XyfKIndj8YG8ngfH6NP4vjoSD5P7zgHwDsD2vBiryCjvv4ltuWWMXJDEjpB5I1uobwS\nH2qSdQDUanX02niQ01V19Pf1YOuQbiZvyClSquiyaR9FKjVTQ1uxuLvpx2he4mBJBbftOIRGEHgz\nuh0vdwpv0vOVqTX023KIM9V1xLg5s3toT1wU5je6FyC5rJaRm45TUK+mtaMtG26PI9K9ZWsP/xjV\nHBjkypLh7a4rqqkzCLx/KJ9d56vYk1GPXAb3x0hCM7QZheaJ/AY+21vK8uMVaPXSOaqDry2P9/Pm\n3i5uRhte0dzsOank9tcuoNSIIML9PV1JSteSmn21wLSzkdGrkyQu+8cqiIuwxuomFphm5cPp/jeO\n9v+WCrtGv7ezZ88il8uZMWMGH374IbGxUid1cnIyPj4++Pj4kJqaypAhQygoKGjWZd4QEc7cAoHP\nlmr46CephtHdRcbrD9szY7ztn6YJNAVBEFm0qZ4XFlVRXS+lI16d5MzT452xbsbX+SsSMlSsS5RM\n4ysb9FQKBjr4K/hxZhBRrRp/kF13vIYHFudRqxIYFOnAvFm+RAU0PoVeXKtlzKJMjuY0YGctZ9n9\nwdwZbdyaJVEUeWN/Lq/vywHgs6GhPBZv3FGVlzhUVMWYTSfQCSJPRgfxcpcQk6wDJPuju/cc53RV\nHeHODqwZ2NnkYlOp1zN6TwJFKjV9vN35qmu02YjNM9W1jNxzFI0gMLNta17q2LZJz1el0TJ42xHO\nVNfRwcWR7UO6m63YXJ9dwj3bT9KgM9DDx4W1w2PxsmvZSN2qsyXM2ta0qOZvhbVMW5/O6VLpYv+h\neD+e6RVIWDOV8RgEkQ2nq/hodwkHzknHW5kMRka68Hh/bwa0dTSbz++/YfWBWia+W4peuGLbPiUq\nFdgqZPTsaE2/WBv6xyroHGHd4uc1U2IwSHPWU1LhdIrpheZVmHA5ERERf7k9Ojr68v327dujUqnQ\n6XRYWTXfMc6sBWdNrcj/vtDyyRItGg10jLVkWD9r5jxoh7Nj855oT53TMvPjCo6ckbrch8bb8uVs\nN4L9jHNCeXTx7/YqGOSghsldPRotNvUGkZfWXOD9zdJYujvjnPlmWiDOdo2/Sj+R38CohZkUVGsJ\ndLVm/UNhRAcY12JHFEWe3XGOD48WIJfB4pHhTIk23hznK0kuq2XE+uOo9AJT2vvzYe8Ik52MLtkf\nbS0oxcPGmk2Du5rc2F0QRSYfSuJYRTVtHOxY0zfe5AL4EgUNKobuPEK1Vscdgb58ER/VpP9dnU7H\nsB1HSa6sIczJnh1DeuBhY36pVlEU+Sg5h2cPnUUE7gv3Y1H/yOu2HLoeypRaZm27Oqq5eFg7Wrs0\nXiQ2aA28siebTxMKEETJAH7hyHAGtGm+5sQdGdU8syEXZytLDpxT4mgjZ1p3Tx7t40WIp2l9a5tC\nbYPApt8aWLCphn0p6qt/KAN3T4EVL/jQpZ01ipu0BrOuTiT5tEhSssiZVEhKhtQzoFKZemV/g5l3\nqa9Zs4a4uLhmFZtgpoJTrxdZ+KOO1z/SUlYhXQpMHG3JOy/Y0TqweQ+cDSqBd5fW8/GGKhrUIr7u\nFnz6iBvj+toZTVw8triYY+euPFDIQG/B0j21PDP62obsxdU6JnyVy770Bizk8N54X54a6nld6199\nopIHfjiPUivQo40Dv0wPw9vJuNEbQRSZtTmDBccvYCmXsfzOdoxvb5rGnIyqBoasO0aNVs+dId4s\nHNDBpJGPK+2Pfr0tnhAn03ptArxx8iyrcotwsrJk44BuZiPAqrVahu06Qr5SRQ9PN5b37twk03ml\nXs/tOxJIKKsiyMGWXUN64mtnfgJFaxCYtS+VJWekNNhb3cKYE9e8M9yL6zUcvVDDyBBPLOSyP0U1\n5/UPZcZ1RjW3n6tkxsYMcqrVWMjguR6BvNavNXZWzXOsT7mg5NmNuWxNl7w/uwQ48Nm4Vkzu5oGj\nzY2ZNq+qM7D+aAOrD9azPUmJVv/3jy2o1hETbnXTiM3qapETp0SOJ0sCM+mkQEYWly2bIoLlnD0r\nvVd/f4hsDx0jZXzwrgkX3dzo9oN+/9/+eNCgQRQXF/9p+zvvvMPIkSP/8alTU1N54YUX2LFjR5OX\n+UfMSnCKosimXQaefUvD2SwpJ9Ar3oIPX1EQH9P8B4Yth9TMereWnCIDfePt6NhOzltTXXF2ME6U\nRqkReHppCV9vr768zcNRTqfWNrTzVzCh17U9FQ+k13PX/FyKa/T4uljy08NB9A5vvN2LKIq8ubWI\n1zYXAlJU9eu7W6OwMm6kSi8ITP71LD+eLsXGUs6a8R0YHuZu1DVcIr9OxaB1v1Gq0jIo0J3lQ6Kw\nNGHn8a+5v9sfLe0dQw8zsD9amV3A3FPpyGWwsk8Xk/t/XkJjMDBmTyIp1bVEODuwYUA3bJsQ3dMY\nDIzZlcj+kgr87GzYPbQngWbYIFSp1jJ2ywn2FlZiYyHn+0GdGB/a/JmBezelsDuvkoejAihX6ll1\nVopqDghyZcl1RjUrlDqe2p7F9yelsZrRPg4sGRVOrG/z1JkW12p5dVs+SxIlY3gnGwvmDPBndm8f\nbJtJzBqTsmoD647Us/pgPbtPqtBfNFyXyaB3pA1jezowups9IpBRqCWjQEd6oQ5/dwvsFDem2Cyv\nuCQqpa/jJwTO5/z5cVZWENleRly0jO6d5YSFyOjQHtyuGI1pVoKzqSl1yz7S1yXUb1/1438rFgsK\nCrjzzjtZtmwZbdq0acoK/xKzEZzJqQaefkPD7kPSXhQSJOP9lxSMGWbZ7JGlC2UGnviwlp93SFHF\nqLaWvP+IM/GRxktRnsxRM/HjQtIKpMagGYOdeW28B+6NjCqKoshHW8t4ftUFDAL0Dbdn5cNB+Lg0\nPiqp1BqY/EM2q05IZu7zRgfy1AAfo0fyNHqBCWvOsC69HAdrCzZMiKRfa+P6fF6iTKll0Lpj5NWp\n6ebjzC8jYkzi93mJ4+XV3LNXsj96MzaCCSGmtz86Vl7FlMNSR/pHnTsyzP+frTCMhSCKTDqYxN6S\ncvxsbdg6sAduTSg70AkCd+05xvaiMrxsFOwa0oNgR9NHlv9IRlUDt288RmaNEh87BetHxNLF+/rn\nwl+L5JI6dudVgghfJRUAcuytLkY1Y/wbbbMkiiI/pZYye0sWZUodNpZy5vZrzZPdAq57rOVf0aAx\n8OG+It7fW0SDVsBCDo909+a1wYF4Ophnze3fUVShZ+3helYfbGB/igrhYm2mhRwGRtsytqcDY3rY\n4+N29am8jY8VQ+JMsOAmUFwikJSMFLk8KZB0UiQv/8+PUyggKlISl7HRMmKjZHRoJ0Nxg4pqU3Jl\no1F1dTUjRozgvffeo3v37i3yeiYXnIUXBF6ep+G7VXpEEVyd4dUnFcyaZNXsnl+CILJgjZIXPq+j\ntkHEzkbGGzMdeHyivdHsH0RR5LNNVTy3rBStXqRdgDUrnvQnqnXjU3Q1SgNTl+Tzy/EaAJ4f7slb\nY30bPd4SoKBKy+hFGSTlK3GysWDF5BCGd2j+k9S1aNAaGPNzCjvOV+FiY8nWezrRNcA00bJajY6h\nvx4jvaqBju4ObB7V+bqnoDQnFxrUvHk8E6XOwANtA3kp2vT2R+VqDZMPnKCDkxOdPV2YHRFs6iVd\n5o3kdEpVGhwtLdhyW3eCHP69qbkoirx0PI2DJRW4KazYMaQ7ES7mN11md0EF47acoEqjI9rDkfUj\n4gh0bJkI7CfHcqQ7MkAOiALfjujA+IjG20zl16iZtTmTjRmSA0a/1i4svL0tYe5NN6A3CCLfHyvj\n5a1ROhQbAAAgAElEQVR5FF20NxrdwZX3RgQR7mV+Uem/Q28Q2XCsjm/2VHPwuI7qekkUWFnCkFg7\nxvVyYFQ3ezxayJ7PWOQXCexL0LP3qJ69Rw24K6xIPHr1BYe9PUR3lETlJYEZ0VbWrM3CJsGENZxr\n165l9uzZlJeXM2LECGJiYtiyZQtffPEF586dY+7cucydOxeQIqUeHtcu62ssJrNFqm8QmfeVlg8W\naFGqpJD4o5OteHm2AjfX5v9nnM7U8dDbNRw9LR2IhvdU8OULTrT2M56gKK3RM/nzIrackDowZw52\n4cPJ3tgpGn9Vfzpfxdgvcsgs0eJsK+e7B1sxOvbaBtuHMuv54UgVc+/wIbtSwx2LMimu1RHioWD9\nQ20bPU+9OalR67h9RQoH82vwsrdix31RdPI2zQxqrUFg5C8nqDfoKdFoODiuKz5GntH+x/UM2HCE\nQ8VV3BPmx7f9ok3ekCOIIiN2HGVrYSndPV3ZM6wnCgvzOOltzC9m5K4E5DLYfFt3hvg3rfb3/VOZ\nPH8sjTAne5b1jaGrp+nLGP7IqqwiPjyRQ0JJDaPbePHDoKgWu0DKqmogbPHh3zdcPKR393fm8L3x\n1/x9QRT56rciXth1nnqtAWeFBR8MDmFajG+zZFR2ZlTzzMZcThZJdjNxAfZ8ODKIviHmM3zgWpRU\n61m0q4oFO6ooqJCKMnuG2ONhZ83YnvaM7GqPi4N57G//hvwi4aK4lATm+Tzhqp8PiLdCaLAiNuqi\nwIyRExYCFtcRSPknzMoWyUl97QdeD7U2ZvHeroXRwzcGg8jSn3W8PE9Lcan0Bxo73JJ3X1QQ2qb5\nT6hKlcgbi+r48IcG9Abw9ZDz2bNOjB1oY9TU8dYT9Uz+ooiSagNuDhYsmeXLHV2vL2Ky7FAlM74r\nQKUV6RRow5pHWxPqfW1RJIoiDy7NJ+2Chp0ZNeQ3qNDoRfqHObJqWiju9sZPM1Wp9Iz6/gz1goEA\nJwU774si3KPlx+z9FYIoMnVLKttzKvG1t+bgPV1MKjYBnjycyqHiKgLsbfioeweTi02A905nsrWw\nFHeFNT/162I2YvNcbQP3H5BS/G/HtGuy2NyYV8wLx9IAeK9ze7MUm7+cK2bi9pPYWsp5IS6Yt7u1\nbbHJQWVKLb2WH7tqm7WljM7eTjzR+dreuGllDUzfkM7h/FoA7mznwRfDwvB1vP59rKReyxu785gZ\n70tHH3tSi6WGoC1npTr4QBdr/je8FROjG+9bbEpEUeTQWRXzt1Wy+mgtuot1mWG+1swa4soDfZ1x\ndTB5IvIvEQSRLQe1dIm0wsvtz8enawlMJ0foE29Jv27SV3R7ebOJy1uYJ0b9JFdWifS/S8mpNOmD\nFx8t58NXFfSKb5llbD0sNQVlFxqQyWDWeDveecSx2S2V/gmNTuDFH8r4eGMlAP0j7Vg22w9/98aL\nPLXWwJMrLvD1xalDk3u58uX9AY2OjO46U0/aBQ0gklWhBEuY2cuTz8YFNUvN1PVSqdQxaEkKSUUN\ntPeyZf/kaNq4mi7lNWd/Fj+mFeNgZcGmsTEEu5hG+F7i27P5zE/NxVouZ83gOLxb2D+xMewrLufl\nJEmELesTazaNM0q9nrF7EiX7o1Y+PN+xaWUHZ6rquOfiyNA3YsMZ09o0llz/xIbsEu7efgKDKPJY\nx9a83a1ti108ny6rY9TaZEqUWixlMsa29eLR2EA6+zg1ymrph9PFfHvyAofza/B1UPDF8DDubPfv\nJx09uek8K06VsTGtkoGt3fjuWBmCCI4KC+YM9OfxG6QhqEEt8OOBGr7cVsmpXMmKTy6D0V0ceWSI\nKwM72pu1YDYYRKa+Vsv3G9WM7qdg3ScutwTm9WDmtkgthVEFp6sLeLjJCAqQ8b8XFNw9yrJFdqri\ncgNPflTLym1S2LpTmCULX3Kma0fj+ham52u5+5MCTuZosLSANyd48uxo9+vayfLLdYz/sAC9pR6F\npYwv7vdnWh+36zrBfLit9OI9GWisQC/gb2drErFZ3iCJzeQLDYS627B1SiSBLqYTVF8m5fNeYg6W\nchlrRkcR423abuvfSqt5+IA0o/urPpHEe5umeepKSlRqJuw9hiDCnE5hDAswjyYhURSZeeQkJ6tq\nCXOyZ2mv2CYJrwq1llE7E6jT6bmrjR8vRzXNKL4l2JJbyritJ9ALIs9Et2lRsbkhq4x7Np6mXmeg\ni48T68ZE4efQuFpzvSDw7K5zfJIodX3M7hrA3H5tcLH599mU44V1rDgl+QznVWn5tqzshmsISi/U\nMH9bFUv3VlOrkgSZp5MF0we6MGOQK0GepvXWbQw6ncikV2pYuVUSyhv2amjTq5acgqtTus6O0Ker\nJX273hKYf8L8s98tglEFp0wmY9mnNri5yLCxaf4PniCILFqr5PnP6qipF7FVwNyZjjwx0d6oRcai\nKPLN1jpmz68grp0VIT4Cy5/wJz7s+qJCu083cPfHhZTXGugYpODgnBA6B19fl+yu1Dq2ptRdsUUG\nBgtWJFTz8kjjzrsuq9cxcMlpThcraethy+7pkfg7m05srsss5bFdZwFYNKQ9g9uYxobpEqUqDXdu\nO4bGIDCzfRBTI1qZdD0gNWLcu+84xSoNfX3cmRvz11MqTMFX6TksO1eAnaUFv/SPx9n63wuOSx3p\n5+qUxLo7821v85mYdInteWWM2ZKEVhB4vFNr3u/RMoMIRFFkXmIuL+zPRAQmRHjzzdAOjY4cljVo\nuXttCntyq7GSy/hscFtmxPo1ea2Pbsj6/Ru5CHIDn44J5pHufk163pbmUhPQ/G1V7DzdcHl797a2\nPDLUjXHdHI1uQ/dvKa3Q02NyFefyf49eCiLkFgk4O8ro0/X3CGZUu1sC8xZXY/TiED+fltmxUtIN\nvPaZinWJdQgCDOupYL6Rm4IAahoEZnxSxk97pQNLiKeCTXP9cLRtfJpHFEU+XF/J8z+WIggwOMqe\n5U/44e54fe/lVL6KMV9mX/7e2hJ6hTnQN9yBe7oaN3JWUqdl4JIUUkuURHjasnt6R3ydTHc1f6Sw\nmokbT0t2Q71CmBxp2pOWziBw1/bjFDSo6eHtyqc9O5h0PZd482Q6uy6U42WjYHnfOJP6kV7JkdJK\nnkiUIsGLe0QT6dq0yPSTCSnsvlCOt62CdQPjsbM0r7q53QXljN58HI1B4JGOQXzcq12LiE2NXuCh\n7Wf4PvUCIO0bL3Vr0+jXSrpQx5jVp8ir1eBtb82asZH0DGy6+8VjG7I4ml//+wYZYCXyfXKp2QrO\nijodX2+vZsGOKvIvNgHZWsu4t7czs4a4EtPGPMpSrkVppcD6vWrW7taw9bD2sjXTZWQwcKDI1q+d\nbwnMxnIrpX5jolKLvPWFmvcXqdHrYcQgOybdac34QcZtCgJISFMz8Z1Ssov1ONjKmP+YB/cPur7G\noDqVgWnzL7DqiBSVfGmsO3Pv8rzuHXnzqVru/iqHeo2Ar4slH93lz52dnbE2gadkcZ2WAYtPk1aq\nor2XHbumR+LjaDqxmVHZwMi1yaj1Ag928uelbs1vcHu9PHc0jX0XKvG1U7B6cJxZNAntKCzljeR0\nZMDyvnH42ZnHCbJEpWbc3t/QCSKPtwtmYnBAk55vwdkcvkzLwVouZ+3ALmZTn3qJ/UWVjNx0HLVB\n4KH2gXzWu32LHNtKGjSMWXeSI0U12FnJ+X5YJGPDG18+8WNKMdM3nUWtF+jq58SasR3xd2paBqNB\na+DpzedZ8NvvU1Os5NDWw462HrZMjTOP8o4rqVEa+GBLKd8cqKShWk5Ng3hFE5ALrjdAp3lOoYG1\nu9Ws3aPhULLussiUycDaSqo3VWt/f3xpjWDWYlMQ/qM5bDPjhhacuw7pmPmKkqxcaW+YMdGad5+z\nxcXJuCdrQRCZ93MNLy+tRG+A2DBrVs7xJizg+lJ86YUaxswrIK1Ai6OtnGWP+TE6/voEqyiKfL6z\nnCdXFiKIcE83V5ZMCcTGRCmboloNAxankF6mItJbEpteDqYTmyUNGoauPkGFSseIYA/mDzLdfPRL\n/JBRwCens7GSy1g9OA5fe9OPTSxSqrh3/3FE4PXocAb6/ftGj+ZELwhM2HecIqWanl5uzOvStEjw\n3gvlPHpEipQu7NmJ7l7m1ZF+6EIlwzf8hlJvYGq7AL7qF9ki3egnS6XmoLxaNQGOCtaPiW50PbNe\nEHhu1zk+vlivOS3Kly+Hhjd5YEJifh33rUons0KFtYWM8ZEezB3Yitautk0aVdpSqLQCX+ws591N\npVQ2SO3mU3u6c3e8C7eZeROQKIqkZOlZu1vD2t0aktN/n5VpbQW39bBmzAAFo/rZXO5Ir60XSM8x\nkJGrJybCvOpn9XqREydg3wHYu09EozH1iv7Af1T/3pCCs7xS4Ol3VHy/VrrEah8mZ+Fb9vTsbPy3\nU1yp5/73ytiZpALgqbHOvDPV7brn1q5LrGPS50XUqQTaB1jzy7MBhPtfX3RAbxB5fHkh8/eUA/D6\naB9eHeVtMkFVWKOh/6LTZFao6eRjx85pHU1a2F+v1TNizQmya1R08XHip5GdTJ4iPlFew4P7TgHw\nWc9IeviYXvDoBYEJe49TptZym58nL0eFm3pJl5mTlMbe4nJ8bBWs6tcFqyb8/87/v737Do+qzB44\n/p1J7wXSSAKBJEAKpFCCEiAhdEQwsEgX0F1EdBUVNSKsAiIuVlhRsYCCBKT33kGpARKQUEJJIyGd\ntGn33t8fI6Du8jP9juF+nsfnkRCSk8mdmXPf97zn3Cln2L5TGCSJV0L9eSpQ/prZ3zqWU0T/zaco\nNwiMbePN4ph29ZJs7rqRT/yGZMr1AlFeTmwYEoanfdVee/IrdDy5/gL7bhRhrlaxoE8gz0ZWb5b6\nHxkEiXcPpDP7QDqCCO08bFk+vC3tPU1vyhOA3iDx7eFCZm3MIbvYmKh1b2PHe8O8eDTQNGMGY5J5\n7rKeH7ZqWb9fS1qGcO/v7G1VDOxmyRM9renf1RLH/zHu2dFeTadQNZ1C5U829XqJ06eNCebBQxJH\njkLpb44udH1Uvtj+J2VL3fRJksSy9TpenltJQZGElSXMeN6aaX+3rvOpRFWx42QF4/59m7xiETdn\nNUtfdWdAVPVa6giCxIyVeby33tjy6G+POPDtc82wt6neG2lJhcCIL26w43wpl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"text": [ "" ] } ], "prompt_number": 108 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####Syntax of Streamplot\n", "streamplot(x, y, u, v, density=1, linewidth=None, color=None, cmap=None, norm=None, arrowsize=1, arrowstyle='-|>', minlength=0.1, transform=None, hold=None)\n", " Draws streamlines of a vector flow.\n", " \n", " *x*, *y* : 1d arrays\n", " an *evenly spaced* grid.\n", " *u*, *v* : 2d arrays\n", " x and y-velocities. Number of rows should match length of y, and\n", " the number of columns should match x.\n", " *density* : float or 2-tuple\n", " Controls the closeness of streamlines. When `density = 1`, the domain\n", " is divided into a 25x25 grid---*density* linearly scales this grid.\n", " Each cell in the grid can have, at most, one traversing streamline.\n", " For different densities in each direction, use [density_x, density_y].\n", " *linewidth* : numeric or 2d array\n", " vary linewidth when given a 2d array with the same shape as velocities.\n", " *color* : matplotlib color code, or 2d array\n", " Streamline color. When given an array with the same shape as\n", " velocities, *color* values are converted to colors using *cmap*." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#$Pie chart$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####Let's generate some data, check color options and explode" ] }, { "cell_type": "code", "collapsed": false, "input": [ "labels = 'F16', 'Migs', 'Sukhoi', 'F22'\n", "sizes = [23, 34, 44, 10]\n", "colors = ['yellowgreen', 'gold', 'lightskyblue', 'lightcoral']\n", "explode = (0, 0.1, 0, 0) # only \"explode\" the 2nd slice (i.e. 'MIGs')\n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 109 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 1, figsize=(10, 6))\n", "i=plt.pie(sizes, labels=labels, )\n", "i=plt.axis('equal')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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2pGw0JBxO0zoeB1LhcaivvvqKovpFpmOIHJF7bRLhQG/TMSSB2PYZzJkzx3QM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\nAW/YNj+EQmROmYI1ZAgsXmw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"text": [ "" ] } ], "prompt_number": 110 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Ok we got a basic pie chart. Not bad, but lets improve it." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 1, figsize=(10, 6))\n", "i=plt.pie(sizes, explode=explode, labels=labels, )\n", "i=plt.axis('equal')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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E2oRMRxGBAPg2+bjwwgtjGjZlSj5er3Zn2UMGPt8fuPvuR00HkQSnwiOH+Oyz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\nu46t69dTr14902kkgWiGR46Lw+Hg1gc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"text": [ "" ] } ], "prompt_number": 188 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Nice. But the colors are too bright, lets use our supplied colors" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 1, figsize=(10, 6))\n", "i=plt.pie(sizes, explode=explode, labels=labels, colors=colors,\n", " startangle=90)\n", "i=plt.axis('equal')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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y5UpExLuJjkJkMJIkYeK69agdEoXA9l1Fx6Fq4qLyQf2QSKxfv150FBKIhYce\nyrp161A/wAnuXtx7h+Rr7alT2H/jBgbz+AjZadzxSfy8KkF0DBKIhYceylfLPkNYvK3oGEQGk1da\niknr1+OJSXNh58RtF+QmqGN3pKUko6ysTHQUEoSFh/5VVlYWdu7chdAnOJ1F8vVGWhqca/shcsBz\noqOQATh7eKFWoybYsmWL6CgkCAsP/avly5ejeQd32DnwoFCSp/QrV7D6xAkMWcTjI+SsUYee+GUl\n91UyVyw89K+W//wNWsbwVnSSp7LKSoxdnYBWgybAzaeu6DhkQEGdemLN2rXQ6XSio5AALDz0j3Jz\nc3H82CkEtOJmgyRP723fjnI7B8RPfld0FDIwz3qN4ODmib1794qOQgKw8NA/Sk1NRVArD9jY8UuF\n5Od0VhY+2b0b/Rfwrixz4d+hJ1auWi06BgnA32L0j9asX4mASK7dIfnR6XQYuzoB/tG9UCc4THQc\nMpKgTk/i19UJPFvLDLHw0N/S6XRISU5B07a8RZfk56uDB5FRXIJ+s78RHYWMqFZQKIpLtTh9+rTo\nKGRkLDz0tw4cOAAnNyt41uL+OyQvNwsK8J+0NHSfsZTHR5gZhUKBwI49sXo1p7XMDQsP/a1Dhw6h\nIFeLXxbcxvGd+SgrrRIdiahaTFq/Hj5NwxHcqafoKCRAYMee+HnVGtExyMhYeOhvjRkzBhtTtqNj\n8Dgc+MUNr2rO4OPnbyLlm0xknC3hHDjVSOtOn8aejAwM+ZB/4Zsr39B2uHDuDO7evSs6ChkRx3Lp\nb1lYWCAsLAxhYWF4443pKCwsxNatW5GYtA7fvZmIgvzrCIp0QUCENYIjXODiYS06MtE/ytdqMXHt\nWnR64R3YO7uKjkOCWFpbw7dZa+zZswfdunUTHYeMhIWHHpqzszN69OiBHj16AAAuX76M1NRUrE9c\nhV/e3wlVbQcERNgiKMIBDVs4wtqGA4hkWt5M2whHn/poM/h50VFIMJ9mUdi+cycLjxlh4aFH5ufn\nh7Fjx2Ls2LGorKzE3r17kZSciMQv12DJmdMIbKlE43ArBEc6w9vXFgqFQnRkMmN7rl3Dr8eP4YVV\nJ0VHIRNQr3kbbPtxnugYZEQKiQsxyABycnKwadMmbEhag5SUFOhQjuBIJwRE2CIw3BmOLuza9EdT\n257EtjFj4adUVvtzl1VWovXixajXbQS6vfRetT8/1TzaogK8F1cfebk5sLGxER2HjIC/dcgglEol\n+vfvj/5UosvPAAAgAElEQVT9+0OSJJw5cwYpKSlYn7QK38/ajzqNXOAfbo3gSEf4NnGEpRVHf8hw\nPti5E6XWdoifPFd0FDIRdk4uUNdviMOHDyMiIkJ0HDICFh4yOIVCgaCgIAQFBWHy5MnQarVIT09H\nUnIi1n2wFhnXziAo3B3+Efemv7jvD1Wns9nZ+G96OkYu3QwLC64ro/9XJ6QNdu7cycJjJjilRcLd\nvn0baWlp2JC0Bhs3boS9kwUCIuwRFGEP/1ZOsHPg0RbmwBBTWjqdDk98+SV0QREY/N5P1fa8JA9H\nkpajeP9arFv9q+goZAQsPGRSdDodjh49ipSUZKxPWo3DB4+hQRN3+IdbISjSCXUD7GFhwekvOTJE\n4fnqwAHM3LYDU9JuwIrrNOhPcm9ewVdPd0DW7Zu8qcIMcErLjLw9Yzq8vOsgNjYWDRo0EB3ngSws\nLBAaGorQ0FC89to0FBcXY+vWrUhKXo/lb29ATk4GgiNcERBhjaAIF7ipuPcPPdjtwkK8mZqKXnO+\nZdmhB3LzqQ+dwgKXL1822Z+JVH1YeMzErVu38OGH76PnE1aY8ZYEZ2dXaOK6IVbTE9HR0XB2dhYd\n8YEcHR3RrVu3+3tlXL16FampqdiQtBqzP9wOD297BITbIDDSAY1bOMHalms06J5J69fDO7gVmnbu\nIzoKmSiFQgHfFlFIT09n4TEDnNIyE99//z1Wfz8OKxcWQZKAY2eB1HQFUnY7Y+8RLVqGBkET1w+x\nmji0bNmyRizurKysxP79+5GckoQNSQk4feocAloo0TjCEsGRzvDxs+MwdQ1SnVNaG86cwdiENXgx\n+SocXNyqIR3JVfqPH8Er/yyWfv6Z6ChkYCw8ZmLk8AGI8PsF4wb/9WPFJcD2A0BKug1Sd9siO0dC\nl86doInvi9jYWNSqVcv4gR9BXl4eNm3ahMTkdUhJSUJ5pRZBEU4I/G3vHyc3DmiasuoqPAVaLVr8\n97+IGjcT7YZOrKZ0JFfXju/DtgUTcPLoIdFRyMBYeMyAJEmoW8cDW77MRWPff3/8tZtA2i4gZZcT\nNu2pQC0fb2g0PREb1x3t27eHvb29wTM/LkmScP78eSQnJ2NDcgJ27dyDWn7O8A+3RlCkI/yaOsLK\nmqM/pqS6Cs/kDRuQdicfL6w8UU3JSM60hfl4L94XxUWFHBGWORYeM3D+/Hk80bEFrm0qgb7fz1VV\nwIETQGq6BVJ2O+HoaS3aRLX8bfpLgyZNmtSIHxJlZWXYtWsXklMSkZi0FleuXENQayX8wy0RHOkC\nVR3u/SNadRSefRkZ6PXdd3h+5XEoa/tVYzqSs/c0dXH88EHUrl1bdBQyII7xm4E9e/agTaiF3mUH\nACwtgYjmQERzHd4cX4C8AmDL3j1I2XUEHy36D8orrREbEwtNfG906dIFnp6e1f8JVANbW1tER0cj\nOjoa8+a+j6ysrHt7/ySvwYdfboStPRAY4YCASFsEtnKGnSP3/qlpyisrMWbVarToO4Zlh/Ti5euP\nc+fOsfDIHAuPGdi3dwfCmxZVy3O5uQC9Y4DeMVpIEnDhKpCa/jN+XJqEsWPK4N/YF5q43ojVdEVU\nVBSsrU3ztnG1Wo2hQ4di6NChkCQJx48fvzf9tW41lr15GH5B7mgcbongKCfUC3Tg3j81wIfp6Si2\nska3KfNFR6Eaxr1uY5w9exbR0dGio5ABcUrLDES0DsSCyWfRLsywr1NeDuw+AqTuskTKLkecv1KO\nTh0joYnvj9jYWDRq1MiwAapJSUkJtm3bhqTk9UhKWY/s7DsIjnD77ewvZ7iruaeLITzOlNb5O3fQ\n4bPPMPLzTajXPNIA6UjOtn+zAI2RiUULPxQdhQyIhUfmysrKoFQ6I2tHBRwdjPva2TnAxt1A6i4H\npKRLsLd3RqymKzRxTyI6Ohqurq7GDfSIMjIyftv7JwGbN2+Fm6ctAiPsEBhpj8ahTrCxM/1b+GuC\nRy08Op0OMV99hbLGYRi64BcDpSM5O7V1LW6lfo20pPWio5ABsfDI3L59+zBmVAyOrCwQmkOSgJPn\ngZR0BVJ2OWP3YS1aNA9ArKYPNHFdERYWBktL0183U1VVhYMHDyI5OREbktfgxLHT8G+hRKPWlmgS\n5YxaDbn3z6N61MKz7OBBzNi6DVPSbnJHZXokWZdOY9Wr/XDlwjnRUciAWHhk7uOPP8axHa/g87dL\nRUf5g1Ltvb1/UndZIyXdDreyq9ClcyfExvWBRqNBnTp1REd8KPn5+di8eTOSktchKSUJWm0xgiKd\nERBug6AIFzi7c5ncw3qUwpNZWIiwjz5Cz1nfoFlMXwOmIzmrrCjHrA4eKCwogA1Ls2yx8Mjc8Kf6\nokPAKozuLzrJP7uRCaSmA6m7HZGWXgW12hMaTU9o4nugQ4cOcHAw8nzcI5AkCRcvXkRKSgrWJ63G\nzu274F3f6V75iXJAg2aOsLLm9NffeZTCM2TFCpyxdsGzy3YYMBmZg0W9g7A1ZQMCAgJERyEDYeGR\nuUD/2vj5/ZsIqUHfw1VVwOHTQMpOC6TudsKhk1pERrRArKYvNHFxaNasWY2YNiovL8eePXuQlLwB\niclrcfHCFQS1UqJx+L3pL1Ud2xrxeRiLvoUn+exZjF6dgBeTLsPBtfpOWCfz9OPknpgzdTx69Ogh\nOgoZCAuPjOXl5aFuHTXy9lagBiyP+VsFRcCWvUDqLlukpFujWGuJ2JgYxMb1QkxMDNRqteiID+XO\nnTvYuHEjNiStQWpqKiytdQiMdEBguB0CWjvDwbkG/yNVA30KT2FZGVosWoSIMf9B++EvGiEdyV3i\n/CnoGVoPU6dOFR2FDIQLDGTs+PHjaOrvAEvLfNFRHouLE/BkZ+DJzmUAynDxGpCa/it+/SYZz48v\nRwO/utDE9YImrjvatGljsnPwnp6eGDRoEAYNGgRJknDy5Mnfpr9W4ZsZB1E/wA3+EVYIinCCb7AD\nLCw5+vN3ZmzaBFtVLZYdqjbu9Rrj5JljomOQAbHwyNi5c+cQ4FspOka1a1gPGFcPGDe4CBUVwN5j\nF5GSvhCvvvgFzlwsR4f24YiN6weNRoPGjRub5LSRQqFA06ZN0bRpU0yZMgWlpaXYsWMHEpPWY/W8\n9bh16xqCI9zhH26F4EgXKL1Ns8SJcOD6dSw/cgTPrTgsOgrJiIunN24d3yg6BhkQC4+MnTt7Cv71\ni0XHMChra6BdGNAurAqzJhbgbi6wcfd2pG7fj3nvvAYrawdoNPGIjXsSnTt3hpubm+jID2Rvb4/Y\n2FjExsYC+C9u3LiBtLQ0rE9cjbmLt8DF3RqBkXYIiLCHf0tn2Nqb5+LniqoqjFm1GiG9noaqfmPR\ncUhGHFw9cDcnR3QMMiCu4ZGx3j2fwNDOW9BPIzqJGJIEnL4IpOwEUvc4Y+eBMjRr2giauL7QxHVF\nq1atYGVl+p1fp9Ph0KFDSElJxvqk1Th25CQaNXO/N/0V6YQ6je1NchRLXw+zhmf+jh1YcuQ4Xky5\nBgsL8yx9ZBi3L5zA+jefwoUzJ0VHIQNh4ZGx4MA6WPHeDTTzF53ENGjLgJ0HgZR0a6TutkPGrSp0\nfqI9YuP6QqPRoF69eqIjPpTCwkJs2bIFiUnrkJyaiMLCAjSJdIV/uDWCIp3hojTN88v+zb8Vnot3\n76LdkiUYviQFvqHtjJyO5K4g+ya+GBaJ7MxboqOQgbDwyFRVVRUcHe2Qu6cS9nai05imW1lA6q7/\n3/tHqVRCE9cDsZoe6NSpExwdHUVHfCiXLl1Camoq1ieuwvZt6VDXcURAhDUCIxzRqEXN2fvnnwqP\nJEmI/eorlDZsjqEfrBKQjuSuQluKWZ1UKNNqZTFiSn/FwiNTly5dQnSHEFzdKO81PNVFpwOOnL53\n9EXqbmccOK5F61ZNoYnrB01cPEJCQmrEFEpFRQX27t2L5JQkbEhKwLmzFxEYpoR/uCWCI13gVd90\n9/75p8Lz/eHDeGPTZryUegM2dmzwZBgz2rji7p3sGvPHDunH9Bcw0CM5d+4c/H35z/uwLCyAlk2A\nlk0kTBtTgMJiYNu+Q0jZdRIDv3gHeYUKxMZ0QWxcb8TGxsLLy0t05AeytrZGu3bt0K5dO8yeNQd3\n797Fpk2bsCFpDT6ZkApJUYHgSEf4R9giKNwZDs6m/zWSVVSEacnJ6DbjS5YdMignNyVycnJYeGTK\n9H/a0SO5d0u6VnSMGsvZEegeDXSPvrf3z+XrQGr6aiT8kIaJEypQv14taOJ6IVbTDe3atYOtra3o\nyA/k4eGBAQMGYMCAAZAkCadPn76/98/3Mw+gbmOX39b+OMI32BGWVqY3+jMlKQmejUPQXDNAdBSS\nOSc3Je7evYu6deuKjkIGwMIjU+fOHkPjemWiY8iGXx1g7EBg7MAiVFYC+45fRsrORZj+8pc4eb4M\n7dq2giauH2I1GgQGBprktJFCoUBwcDCCg4Px4osvQqvVYufOnUhK3oA189fhxvUzCA7/be+fKGd4\n+IgvcWnnz2PLxYuYtOGS6ChkBhxc743wkDyx8MjUzetX0Il3ZxmElRXQJhRoE6rD2xMKkJMHbN6b\njpT0Q1jw/huAhR1iY+Kgie+Fzp07Q6nHYZjGZGdnhy5duqBLly5YMP9D3Lp167e9fxLw/meb4OBi\nhcAIewRG2ME/zAl2DsY9+qKorAzjExLQ9tnpcHL3NOprk3myd3Fn4ZExFh6Zysq+DS8P0SnMg9IN\n6KcB+mlKIUnA2cslSE3/Ecs+WYdnni5DcFADaOL6IFbTFRERESa794+Pjw+GDx+O4cOHQ6fT4ciR\nI0hJScaGVQn46o1jaNjUHY1bWyE4ygl1/O1hYWHYUayZmzfDWumNTqNeMejrEP3O1oUjPHJmmj95\n6bFlZt5h4RFAoQACG9x7mzisEGXlQPqhM0jd9R5eGPsRrlyvRHSnttDE90NsbCz8/PxER34gCwsL\ntGzZEi1btsS0aa+jqKgIW7duRVLyevzwnw3Iy8tAcIQr/COsERzhAlfP6t3759CNG/ju0GGMW3Gw\nWp+X6J/YOnOER85YeGQqMysPahYe4WxtgCcigSciKzH3pULczgY27t6IlKRdeGu6Dq6u7ojVdIMm\nric6deoEZ2dn0ZEfyMnJCd27d0f37t0BAFeuXEFqaio2JK3GzAXbofJxuHfnV6Q9GjV3grXto9/C\nX1FVhWdXrUZIzxFQ+QZU16dA9K+sHZxRUFAgOgYZCPfhkaHS0lK4uzuj9HAVTHDtLP1GpwOOnQVS\n0xVI2e2MfUe1CGsZ/Nvi5ziEhobWiL1/KisrsX//fiQlJyIxeQ1OnzqHgFAlGodbokmUM7x97R5q\nEffv+/CsPnUKnxw6ihdTM2rE50/ysemLOYhQVmL27Nmio5ABcIRHhrKysqD2sINCwU0HTZmFBdAi\nCGgRJOGV0QUoLgG27T+C1F2n8NTXc3EnF4jp8gQ08X0QExODWrVqiY78QFZWVoiKikJUVBRmvj0L\nubm52LRpExKT1+Kzycmo1JUhKMIJAb/t/ePo+vc/di7n5OD9bdvw1OJElh0yOkmnM8k7LKl6sPDI\nUGZmJtQexr2jhh6fowPQtSPQtWM5gHJcuwmkpq/F+p8248XJFahT2xuxmp7QxPVA+/btYWeim/C5\nu7ujX79+6NevHyRJwrlz55CcnIwNyQn4YfYe1Gn4/3v/+DX9/71/JAAvJSbCL7ILGrTqKPaTIPMk\nSbC05M9OuWLhkaHMzEx4efKvlJquXi1gdH9gdP8iVFUB+49fRWr6YsyY9g2OndGibZuw+3v/BAcH\nm+RfpgqFAgEBAQgICMCkSZNQVlaGXbt2ISl5AzYsWotrV84gqLU7GodbQpIk5JSVY9S8FaJjk5mS\nJB0sLGrm4bv07zhmLENZWVnwUlaKjkHVyNISiGwBvPW8DunfFyBjcznGdN+Ns/vfQPf4CNSt44Gn\nRw7CihUrcPfuXdFx/5atrS2io6Px3rz5OHH0HM6fu4yJo96D7loEyiXgicnzeHwECSPpdJxKlTGO\n8MjQ3bt34eHKXZblzM0F6BML9InVQpKA81eKkbprBb7/PBFjni1DgL8fYjW9oInrhsjISFhbm+Zf\nrV5eXhg6dCiGDh2KsPNt4N2oqehIZM4kruGRMxYeGdJqtbCz4QiPuVAoAH+/e28vDC1EeTmw68hZ\npKYvwOTxn+LitXJ06tjm/t4/DRs2FB35gdRqNYpyskTHIHMmSRzhkTEWHhnSlhbDUfwxSCSIjQ3Q\nKRzoFF6Jd14sQHYOkLZrM1LT9mDmDAmOji6I1XSFJu5JREdHw8XFRXRkAICX2hMFOdmiY5AZu7eG\nh4VHrlh4ZKisrARKG9EpyFSolMCQ7sCQ7iWQJOD4uVKkpi/Dx++vxFNDtQhtEYhYTV9o4uLRsmVL\nYXep+HipcTOXIzwkjqTjCI+csfDIUFlZKWwdRKcgU6RQACEBQEiAhKlPF6CkFNh+4BhSd53GyKfm\nI/OODl06d4Imvi9iYmJQp04do2Xz9vKC9uoFo70e0V9wDY+ssfDIUJm2FLYc4aGH4GAPxLUH4tpX\nAKjA9dtAavoGpKzcipenVMHbW4XY2J7QxN/b+8fBwXBNWq1WQ5u7y2DPT/RvJK7hkTUWHhnSaktg\nx8JDj6CON/B0X+DpvsWoqgIOnsxAavqnmP3mdzhySovIiBbQxPWDJi4OTZs2rda/hlUqFYpzuYaH\nxJF0VSw8MsbCI0NlZRzhocdnaQmEhwDhITpMH1eAgiJg8559SN19FL0Wv43SMivExsQiNq4XYmJi\noFKpHuv1eJcWiVZelAdXV1fRMchAWHhkqKxMy8JD1c7FCejVBejVpQxAGS5eA1J2/oKfv07GuOfK\n0KhhPWjieiFW0w1t2rSBjY1+X4RqtZp3aZFQpXl3oFarRccgA+HYnQyVactYeMjgGtYDxg8BEj4q\nxJ30ciyccgEWeR/i5UlPQuXpinfnvKXX83l6eqIwLwc6nc5AiYn+WVFOFguPjLHwENFjs7YG2rcC\nZk+qwv4VBVjzsRYJCfqdiWVlZQUnF1eU5ucYKCXRPyvMyX7sqVkyXSw8MmRnZwctT5Ygger5AFlZ\n+hcXDw8VirgXDwkgSRLy77LwyBkLjwzZ2ztAWy46BZkztRLIupOv93WeajWKuY6HBCgvKYKlpSUc\nHR1FRyEDYeGRITt7B47wkFCODvf+Yi4uLtbrOi+1mremkxDFudlw9+Tojpyx8MiQnR0LD4mlUAAq\npS2ys/UrLz5eKhRxhIcEKMrJhkrFBctyxsIjQ3Z2jiw8JJzawwpZWfqtx/HxUqOYe/GQAEW5vENL\n7lh4ZMjO3hGlLDwkmNpD0rvwqNVqaPM4wkPGV5x7B15qT9ExyIBYeGTIzt6JIzwknNq96pEKT2ke\nR3jI+IpzsuDjxREeOWPhkSE7Oztoy7mJNomlVpbpvYZHrVajOPeOgRIR/b3S3Gx4e3mJjkEGxMIj\nQ/b29ijRWoqOQWZO5V6JrNvX9brm3nlanNIi4yvKvg4fHx/RMciAWHhkyMPDA3fzrUXHIDOnVgJZ\nWRl6XaNSqVBwl1NaZHzZl88iKChIdAwyIBYeGfL29sbtOxzhIbHUHkBW1i29rnF3d0dJcSEqK7hz\nJhlPVUUFMq9dQEBAgOgoZEAsPDLk5eWFzLs8gJHEUiuB7Gz91uNYWFjAXemJkjyu4yHjuXv9Irxq\n1YG9vb3oKGRALDwy5O3tjcw7/AuZxFJ7AFnZj3Celoq7LZNxZV8+g6CgYNExyMBYeGRIqVSioLAC\n5ew8JJBKCWRlF0KSJL2uU6u52zIZV9al02jelOt35I6FR4YsLCygVrngEQ6rJqo2tjaAvZ0l8vP1\nO0RUrVKjiLstkxHlXj2Npk2aiI5BBsbCI1NeaiVucxkECab2sNF780FvLxVPTCejyr50GsHBnNKS\nOxYemfL28kYmCw8Jpvaw1HvzwVreXijh8RJkJLqqKty6fA6BgYGio5CBsfDIlJd3bY7wkHAqJc/T\nItOWe/MKlJ4qODk5iY5CBsbCI1O1ajfA9UyF6Bhk5tTuFY92nlYu1/CQcWRdOo1AbjhoFlh4ZMo/\nIAjnrjmKjkFmTu2uRVZmpl7XqFS8S4uMJ+vyaYQ04fodc8DCI1MBAQE4e5n/vCSW2kPS+3gJtVqN\nQhYeMpKcy6fQlIXHLPA3okwFBATg3GUt9NwChahaqZVAdtYN/a5Rq1HAwkNGknF8H8LDw0XHICNg\n4ZEpd3d32Nvb4hZ/b5BAKiWQlXlbr2ucnJxQVVWJ8tISA6UiuqfwbiYKc7LQhHvwmAUWHhkLaOyH\nM5dEpyBzdu94Cf1uF1QoFFB6qHi8BBnctaO70ToiCpaWPGzZHLDwyFhAYFOcvSw6BZkztRLIys7V\n+zpPlRpFLDxkYBnHdiO6fRvRMchIWHhkLCAoFGev2IiOQWbMww3IzStBVVWVXtep1SoU83gJMrAb\nR9PRvn170THISFh4ZCwwMBBnr9qLjkFmzMoKcHOxQU6Ofge7eam9UJzLnTPJcCq0pbh+7sRjL1ie\nM2cOmjZtiubNmyM0NBT79u3728fOmDEDCxYs+Mv7O3XqhIMHDz70ax48eBCTJk16pLzmzEp0ADKc\ngIAAnLlUKToGmTmVhzWysrKgUqke+hofbxVOcYSHDOjq0d0IahoCBweHR36O3bt3Y8OGDTh8+DCs\nra2Rk5ODsrKyv328QvHgzWD/7v1/JywsDGFhYXpdQxzhkbUGDRogO6cCeQWik5A5Uyst9D9AVK1G\nKY+XIAO6fGAL4mKeeKznuH37Njw9PWFtbQ0AUCqV8PHxga+v7/1RzQMHDiA6Ovr+Nb+Xmy+++AJd\nu3aFVqsFAPzyyy+IiIhAQEAAdu7cCQDQarUYNWoUQkJC0LJlS2zduhUAsHXrVvTo0eOxspsjFh4Z\ns7S0RIsQfxw6JToJmTO1h47HS5DJuXZgC2K6dHms54iNjUVGRgYCAgLw/PPPY/v27QD+ecRGkiR8\n/PHHSExMxJo1a2BnZwcAqKqqwt69e7Fw4UK8/fbbAIDFixfD0tISx44dw/LlyzFixIh/HEGif8bC\nI3OtW3fA/uOiU5A5U7uX631iulqtRgnv0iID0Rbm48b5k4iKinqs53F0dMTBgwfx+eefQ6VSYeDA\ngVi2bNnfPl6SJHz77bdITk7Gr7/+en9kCAD69OkDAGjZsiWuXLkCAEhPT8dTTz0F4N4Shfr16+Pc\nuXOPldmccQ2PzLWOaIvV338HoFB0FDJTavcyvTcfVKvV3IeHDOby4Z1o2Tri/ujK47CwsEDHjh3R\nsWNHNGvWDMuWLYOVlRV0Oh0A3J+yAu6N/DRr1gxHjx5FRkYGfH1973/M1tYWwL2R+crK/197Kf1p\nu3x91/vQ/+MIj8y1atUK+47pRMcgM3Zvt+Vrel3D87TIkK7s34L4x1y/AwDnzp3D+fPn7//34cOH\n4evrC19fXxw4cAAAsHLlyvsflyQJoaGhWLJkCXr27Ilbt2794/O3b98eP/zww/3XunbtGgICAh47\nt7niCI/MNWrUCEUlwK0swEctOg2ZI7UHkHVEv/O0VCoV8u9mQZIk/kVL1UqSJJzdsR4fvvTLYz9X\nUVERJkyYgLy8PFhZWaFx48b4/PPPcerUKTzzzDNwcXFBp06d7n8NKxQKKBQKtG3bFvPnz0e3bt2Q\nlpb2l+f9/fHjx4/HuHHjEBISAisrK3zzzTewtra+/zykH4X05/Eykp3uXdvj6bid6BMrOgmZox0H\ngGmfNMHOXSf0us7R2QUvb7gEO2dXAyUjc3TzzGEkvD4YVy9dYGkwM5zSMgNt2mqw66j1vz+QyADU\nHkB2tn4bDwKAB4+XIAM4uXElBvTry7Jjhlh4zECbtu2w6wh3XCYxVO5AVnae/tepuHCZqpckSTi1\naRUGDRwgOgoJwMJjBlq3bo1jZ0pRUio6CZkjNxegqLgM5eXlel2nUqlQxN2WqRrdPn8MllIldyk2\nUyw8ZsDR0RFhLYOxbb/oJGSOLCwAlYed3nvxeHupUMw7tagandy4itNZZoyFx0zExfdH8k6enE5i\nqD2s9N5t2cdLjSLutkzVRJIknN68CgMH9BcdhQRh4TETmrh4pOxi4SEx1B6KRxjh8YI2jyemU/XI\nvHgSUnnpY5+OTjUXC4+ZaNGiBXILFLii33YoRNVC5V71SOdpaTnCQ9WEd2cRC4+ZsLCwQGxMF6Ts\nFJ2EzJHavUzvwqNSqXiXFlWbM5tXczrLzLHwmJG4rn2RnO4kOgaZIbWyAlmZN/W7Rq3mXVpULTIv\nnUJFSQEiIiJERyGBWHjMSExMDLbsrUBFhegkZG7USiArM0O/a9RqFPAuLaoGJzeuRL9+fWBhwV95\n5oz/+mZErVajUcN62H1EdBIyN/d2W/7ngxL/zNPTE4V5OfdPnSZ6FLqqKhxZ9y1GDhsmOgoJxsJj\nZuLi+yBpB8+MJeNSuQNZWZl6XWNlZQUnF1eU5ut/LAXR787sTEQdH2+0atVKdBQSjIXHzDzZqy9W\nbrQDj4wlY1J7AFlZj3CeloeKe/HQYzn06xK8OPF50THIBLDwmJlWrVpBB0ccOiU6CZkTtRLIupOv\n93WeajV3W6ZHln31HG6dO4r+/Xl3FrHwmB2FQoFBg0fgp0Senk7G4+hwb6fb4uJiva7z4p1a9Bj2\n//oZnhk1CnZ2dqKjkAlg4TFDg4cMx09J1uBaUDIWhQJQKW313m3Zx0uF4lzutkz6Ky8txpENP+D5\n8eNERyETwcJjhpo0aQI3dxV2HRadhMzJo5yn5a1WoZgjPPQIjiQuR7t27VG/fn3RUchEsPCYqcFD\nnsFPSbaiY5AZUXtIehceLy8vaPO4hof0I0kSDq78lIuV6Q9YeMzUwEFD8EuKBSorRSchc6F2r3yk\n87RK8zjCQ/q5emQXLCrL0LlzZ9FRyISw8Jiphg0bon79etiyV3QSMhdqZZnea3jUajXX8JDeDvz6\nKarioIYAABuNSURBVCY9P447K9Mf8KvBjA0eMgbLk+xFxyAzoXKvQtbt63pdc+88LU5p0cMryL6F\nc7tSMXLkSNFRyMSw8JixQYMHI2GThIIi0UnIHKiVQFaWfudpqVQqFNzllBY9vH2/LMGAAQPg5uYm\nOgqZGBYeM+bj44OYLp3x3RqF6ChkBu7ttqzfeVru7u4oKS5EZUW5gVKRnBTn3cW+Xz/DG9NeEx2F\nTBALj5kb/8LLWPyTI4+aIIO7N8Kj3/SUhYUF3JWeKMnjOh76d+nfLcCA/v3g5+cnOgqZIJ4iaeY6\ndOgAhZUS2/YXoVO46DQkZ2oPIPtOrt7XeajUKM7NhouqlgFSkVwU3s3EwdVf4dvjR0VHIRPFER4z\np1AoMP75l/HJT46io5DMqZRAVnYhJD2HE9VqFRcu07/a+c37eOqpoahTp47oKGSiWHgIw4YPR9ou\nHW5ybSgZkK0NYG9nifx8/Q4RVat4nhb9s/zM6ziy4Xu8+cbroqOQCWPhIbi4uGDQoIFY+itnOMmw\n1B42+h8v4a3iien0j3Z8PQ+jn34a3t7eoqOQCWPhIQDAuPEv4vNfbFBRIToJyZnaw1LvwlPLywsl\nuRzhoQfLvXkFx9N+wbTXXhUdhUwcCw8BAEJCQuDXoDHWbhGdhORM7SE90m7L2nzepUUPtv3Ld/D8\n+HHw9PQUHYVMHAsP3Tf5pTcx7ysn3qJOBqNyq9B7hEelUqGUIzz0AHeuncfpbevw8pQpoqNQDcDC\nQ/f17t0bRVp3pKaLTkJypXbXIiszU79reLwE/Y3tX8zGS5Mnwd3dXXQUqgFYeOg+CwsLvPHmu5j1\nGUd5yDDUHpLex0uo1WoUsvDQn9w6dwwX923Ci5Mni45CNQQLD/3BwIEDkZnjjG37RSchOVIrgaxM\n/Q8QLWDhof+h0+mQOG8C5sx8G87OzqLjUA3BwkN/YGVlhdffmI3ZnzmJjkIypFIC2Vn6TWk5OTmh\nqqoS5aUlBkpFNc3BNcvgai1hzJgxoqNQDcLCQ3/x1LBhuHDdHrsPi05CcqP2ALKy9bvjSqFQQOmh\nQnEuR3kIKMrNxqZP3sSXny+BhQV/hdHD41cL/YW1tTVee20GZn3G4yaoeqmVQFa2/udpearUKGLh\nIQAb/zsNw58aiubNm4uOQjUMCw890Kinn8Gx8zY4+H/t3XlYVGXfB/AvMAwzbALDOSMqr0smLuFS\nijymWJmmJW65RGGZkWJpSrhU7pm+5pamPmpamhu45ZZbKu6CpoK4oIYbimyyKTAwLPP+wZvV9WSP\nB4Ezc+b7uS4vl8tbv6WXfLnPfe7fJbmTkJLo3IDsnAKUlpZKWieKAvI5XsLq3Th7FLd/jcL0aV/K\nHYUsEAsP/S0HBweMGTMRU//tKHcUUhCVCnBzVSMrK0vSOr2oR342Lx+0ZiXFRuyeOQKLvp3Pg8pU\nISw89FhDQ4fhQqITDp+WOwkpiaCzl3z5oFdNgQNErdzJtfPR9Nn66NOnj9xRyEKx8NBjaTQazJy1\nEJ/OckJZmdxpSClED1vpA0RFEYYcnuGxVlnJN3Fy7TdY9u9FsLGxkTsOWSgWHvpH/fv3h4NTfazZ\nIXcSUgpRVya58IiiyPESVspkMmHvnDCMDg9D/fr15Y5DFoyFh/6RjY0NvlmwHOMXaJHPa1CoEoju\nxgoWHu7wWKPLh7bDkHoTY8eMkTsKWTgWHvqv/P39EdCxC+asVMkdhRRAdC+SfPmgKPK1dGuUl52B\n3bNHYcWyJVCr1XLHIQvHwkNP5H+/XoBv19kjWdrHKaL/IHgA6WlJ0tYIAudpWZmysjJsnxqCwe8G\no2PHjnLHIQVg4aEnUrduXQwd+hHGL9DIHYUsnKgD0tOSJa0RBAG5mekwcaqt1YiOXAT7gkzMmP6V\n3FFIIVh46Il99vkk7DvpwMsI6amU37YsbatQq9XCXu2AorwHVZSKzElyQiyO/zATmzdEwN7eXu44\npBAsPPTEXF1dMX36HAz70gkSL8olekTUAenpmZLX6QQReXxTS/GKCvKwZcJALF64AA0aNJA7DikI\nCw9J8v7gD+Ds3gwL1vCvDlWM6AFk3M+VvE4QRN62bAX2zB6FVwPa4e2335Y7CikMX7shSWxsbPDd\ninXwb9scvToZ0MBb7kRkadxcgfyCIhiNRklv3ggCb1tWurg9Eci4fAoHzp2ROwopED9NJ8kaNmyI\nceMmYuhUJ/AMKUllYwN4emiQkSHtrauaegH5fFNLsTLvXMfeueHYvCECzs7OcschBWLhoQoJ+3QM\nsgu8sWorr3kn6USdSvo8LT3P8ChVSbERWyYMxOSJ49GqVSu545BCsfBQhahUKqz4IQLj5mmQyk+6\nSSJRZyN9npZej8IcnuFRoqglk/FsHT1GjRwpdxR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"text": [ "" ] } ], "prompt_number": 190 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Nice but what about %, Pie chart without percentage feels half cooked. So lets add % values" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 1, figsize=(10, 6))\n", "i=plt.pie(sizes, explode=explode, labels=labels, colors=colors,\n", " autopct='%1.1f%%', startangle=90)\n", "i=plt.axis('equal')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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AFB5RaYqKipjy0iT6T/LAwkLWkPwvo9HIdzMuUquhPd3/5+qplp1d2bH6JgA7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\nBGD+/PlER0ffWEqYOXMmL774IgAnTpygcePG1K5dm5EjRxI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"text": [ "" ] } ], "prompt_number": 191 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Much better, lets improve further, add little shadow and see the improvement" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 1, figsize=(10, 6))\n", "i=plt.pie(sizes, explode=explode, labels=labels, colors=colors,\n", " autopct='%1.1f%%', shadow=True, startangle=90)\n", "i=plt.axis('equal')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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JlJSUNPpjCNFUpPAIm1dTU8PkaZHsOvotD37UFZ8Ocrq5sA11JhN3RkfTf/Z8fPy7WuUx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\nXqFigUJ10RWe+F2TrRYLmgPzJbRaLTaHi7ICWeVpKiTsiOZCAo9oMP0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"text": [ "" ] } ], "prompt_number": 192 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Isn't it wow!!" ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "**$3D Figures$**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####To use 3D graphics in matplotlib, we first need to create an instance of the `Axes3D` class. \n", "\n", "#####3D axes can be added to a matplotlib figure canvas in exactly the same way as 2D axes; \n", "\n", "#####or,more conveniently, by passing a `projection='3d'` keyword argument to the `add_axes` or `add_subplot` methods." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### import Axes3D" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from mpl_toolkits.mplot3d.axes3d import Axes3D" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 112 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####Generate some data" ] }, { "cell_type": "code", "collapsed": false, "input": [ "X = np.arange(-5, 5, 0.25)\n", "xlen = len(X)\n", "Y = np.arange(-5, 5, 0.25)\n", "ylen = len(Y)\n", "X, Y = np.meshgrid(X, Y)\n", "R = np.sqrt(X**2 + Y**2)\n", "Z = np.sin(R)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 113 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 1, figsize=(10, 6))\n", "\n", "axes = fig.add_subplot(1,1,1, projection='3d')\n", "surf = axes.plot_surface(X, Y, Z, rstride=1, cstride=1,\n", " linewidth=0.5, antialiased=False);\n", "axes.set_zlim3d(-1, 1);\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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6otMjIubwMNHzfGG9zM15kWTdb0Du6vCdk8VydF0pOp/L4yV0rgVwIXdblcuj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"text": [ "" ] } ], "prompt_number": 114 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####Syntax of plot_surface\n", "\n", " plot_surface(self, X, Y, Z, *args, **kwargs) method of matplotlib.axes.Axes3DSubplot instance\n", " Create a surface plot.\n", " \n", " By default it will be colored in shades of a solid color,\n", " but it also supports color mapping by supplying the *cmap*\n", " argument.\n", " \n", " ============= ================================================\n", " Argument Description\n", " ============= ================================================\n", " *X*, *Y*, *Z* Data values as 2D arrays\n", " *rstride* Array row stride (step size)\n", " *cstride* Array column stride (step size)\n", " *color* Color of the surface patches\n", " *cmap* A colormap for the surface patches.\n", " *facecolors* Face colors for the individual patches\n", " *norm* An instance of Normalize to map values to colors\n", " *vmin* Minimum value to map\n", " *vmax* Maximum value to map\n", " *shade* Whether to shade the facecolors" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import Image" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#**$Mayavi.mlab$**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####Matplotlib has decent 3d capabilities but for the purpose of this tutorial, we will explore mayavi.mlab, which give more flexibility and interactive usage of 3D data.\n", "\n", "###The mayavi.mlab module provides an easy way to visualize data in a script or from an interactive prompt with one-liners with an emphasis on 3D visualization using Mayavi2.\n", "\n", "###This allows users to perform quick 3D visualization while being able to use Mayavi\u2019s powerful features.\n", "\n", "####Mayavi\u2019s mlab is designed to be used in a manner well-suited to scripting and does not present a fully object-oriented API like matplotlib.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####Import mayavi mlab as mlab" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import mayavi.mlab as mlab" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Visualizing 3D points \n", "##### Points3d Plot 3D points" ] }, { "cell_type": "code", "collapsed": false, "input": [ "mlab.points3d(a[:,0],a[:,1],a[:,2],a[:,2]);\n", "mlab.show()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 115 }, { "cell_type": "code", "collapsed": false, "input": [ "Image(r\"mlab1.png\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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"prompt_number": 116, "text": [ "" ] } ], "prompt_number": 116 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####Syntax of point3d\n", "\n", "Plots glyphs (like points) at the position of the supplied data.\n", " \n", " **Function signatures**::\n", " \n", " points3d(x, y, z...)\n", " points3d(x, y, z, s, ...)\n", " points3d(x, y, z, f, ...)\n", " \n", " x, y and z are numpy arrays, or lists, all of the same shape, giving\n", " the positions of the points.\n", " \n", " If only 3 arrays x, y, z are given, all the points are drawn with the\n", " same size and color.\n", " \n", " In addition, you can pass a fourth array s of the same\n", " shape as x, y, and z giving an associated scalar value for each\n", " point, or a function f(x, y, z) returning the scalar value. This\n", " scalar value can be used to modulate the color and the size of the\n", " points." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#Visualizing a mesh\n", "#####Plots a surface using grid-spaced data supplied as 2D arrays\n", "\n", "#####First generate some data" ] }, { "cell_type": "code", "collapsed": false, "input": [ "dphi, dtheta = np.pi/250.0, np.pi/250.0\n", "[phi,theta] = np.mgrid[0:np.pi+dphi*1.5:dphi,0:2*np.pi+dtheta*1.5:dtheta]\n", "m0 = 4; m1 = 3; m2 = 2; m3 = 3; m4 = 6; m5 = 2; m6 = 6; m7 = 4;\n", "r = np.sin(m0*phi)**m1 + np.cos(m2*phi)**m3 + np.sin(m4*theta)**m5 + np.cos(m6*theta)**m7\n", "x = r*np.sin(phi)*np.cos(theta)\n", "y = r*np.cos(phi)\n", "z = r*np.sin(phi)*np.sin(theta)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 118 }, { "cell_type": "code", "collapsed": false, "input": [ "s = mlab.mesh(x, y, z)\n", "mlab.show()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 119 }, { "cell_type": "code", "collapsed": false, "input": [ "Image(r\"mlab2.png\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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8ZfylAiWCpULlwpUiVaK1Yg3i1yRaJDukuqUfyAzJjss9l3+h8FzxmdKE8pjKE9VhtQH1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\nydY6HMkS685OvQNafYykztb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gu/6qxTqGS38760GuWa04/Wnz439/eKMWbmtt5K/vCNYj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\nvcug6YDqw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YPhYFs1bmidOsMar9eGFzthQRBpmSTwMA8wnHcVsnFT3WD4yiaNqVgNJ0YA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\n/MPM8y6JNr8i1s2F74T3NWDPvb6RK8+RvLnPvZTns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aC37wulrMP8sxw/l1HHszGkDs1E\nnj0oOWR6lpFKaHQkjtnGkGvjjkIVDCsICoD9uKMcvg+FxB0J4xnFqqnMkV2QEwr9jJ2bPLT2VYvh\nGHHBkCAjYRafIeMiqEar4UJGXD+B59pGwdCRk+wBvnxBBerxRGJ3HGt13LC6OZZmKX2P6Yv8WhiP\nQCZP7sBCCFVctRGyWEWdEJl9OEXjuzBxuR5xwzrSIRpH5VgPSXO+TxJL/inNVDG3BQZVZJcrYNBS\nHJLESrWZZjyvcgfAtfTxBhTtgvxJ8b4lK9RC96YJicubOo4i6sKVTdz7frLPo3JG4Fs3xSxY0gCY\nsJXH0GbNYyEunPjInfoU1E5g6RoFrjy/UGuicOejT9vU76NVtsAbZW3Dbym7cWRUyMWa6LegXZZJ\ndwKQHosjLGZqlDJhd+qYQhrclEcw3ubxoO5d2xuLotPFtmtb6o9/7Y8myLVpOKEz6wpRrtazw/Tj\nnnsbcNXAvJxHbp6Pfggr4l3kpU/JTyV5Lk01acPX0j76fOz6oEs695TNcl77a1D/ENiFLtSlen1+\n14tgKLy5EcW1huYXvrPUlvjerfzK3YgHDiMXaZlOtk94DiMIGPpHhme926Y+wpkX77uiDP5a+uta\n37FB2bt4p4HXqwb4Nehcp4FOA98ODfRO/F0p12DpWsDIM4+Rxd0OUoBA6PrBwCHXWgljomHEcVQP\nFBLnVnxGR64HQzuQEcxMOu7rKw1VKHQEEwAEM73HzQhzxzE/ae3jsOlY/qrF0AazAl+ZoYkVkISf\nuZsDYtRD5GLiok5NLFmvSF17oZ1ndjP3ysiqacyjbjbgFwGHgqay2YZw+NRO8u5hsSAmp/UQhWYt\n2xVcD1J+M/V4grQ7NByN7YPgqGXRL7BU6yHNu7FDJ0Q4gFdtVD2oDl1Vi/kEhv1XU2Yz3aIJQdAN\nB6o90EJ+IU94mEq6080UK0KilsRMVxL4yT7r8tN3AtxiYFILobBXuZ5sjaMCuyKECVDCjecKHj9M\nt+iyM+YytCsHaieiZsvhXV1gGdcfutvZ6WfV4/pC1yMKin7RRIAUFLM+kap8nQJI1GE8Vkvy+zUg\n81x1HacOPYB6eSy6/5+9NwHS6zrPM0+j0VgbAAFiIQmAK7iTJiXToiRLZsuyFsvyJHK8zzh2NEnk\npOypSaY8VZ7F+jWTbWpSM5lxqqJUMuPEjpeRdzsqS5QlNSWZErXQEiXuJPalsfeORq/zPN+952e3\nKEuiRYJA4zuF0/fec8/63ts4T39nuZYT5RNfF69Yc1rfsK5V0PmJCqtBeOgEq5g/XcrbfqCpi6u/\nf+ztpfzWR5rXz1ewPguzbrPv5tkWEQetjsKnR9PobUO8CiQ8Rt3VwnIP8hpVq+E8r6o7MlWQrFZB\nn/kUbe6/k7w49z2pQ84CptZCwc/KfOFPeb1og+2OylU91JG4wrfxfTbme+wDHSKmSwWWhwK9AwMD\nneXRlGxFKnDxKtCZ+QLwg9XtSnrrTfTEbjfjfD1XGK+nN9c7TOtqCsPDWkcPJCmE2YgeyV5LmtDb\nO9lL1l7Pnq32cvbo9np22PZabrStdxuaKbxQNQY5DEMxJyCBY5CE3tXBDtcCHbFXoZv9SRcbMMHs\ngoquwSzmVjT99K7SS5hsLMu8ydP5iqforfdCBy5E8dzxz5t2N9bDTdIX7ZO2quXw6UPA4WHAE9La\ncy06QBK2r1oIn9xPXYi/6xoIBjozbQxJY510Pxrb7edDrAtp1hz/o7JGaKOKWoCECGUJeahmOKrq\nghRBObgZSYSPCZq0gqrMIoVOw6RQYLLwnuMFjrAccT52nCYhkdXSWQ39eZo+SRXNIx4T9wNU2jyM\na5JufsSLvQzJS6B0CFnAM9/wpIu6ePS0za/m7yrl87C9+ydqGDY8oIa4YREkrOZT0wo1QqJxYwEL\nZbvP4i4eg0PezuEzbZSxqB6mM++ub+sSryb52V7zdYHIvn28YidLueG6JvzuPQDo0zxS6iP0Vf05\n7cKfr1NXdE4Vyjp7tG3jRPa19/o47fVZHOB1c62Sw8FuLTSDj3YSL35VjE+dzvNezPFe1Dzj18c4\n5GE+Dkdb/tc+Rv138+t5I3FtK2WFb9sXUEjc+JXkvn8A/Mn/Wsr1CwMkSJcKLA8FehMQl8eDzFZc\nvAp0ypcbONxCDxwbUdMTucJYEBQKw9OzxTY0XNsj6+1luzBI3AqEHu2tgnzao0AYUEhvRSfaDPVy\nPoN3RYXgV7eoOYO5STAcgmJceOJ8Q+MIho6tSQvOD3QflquBwmu2ArbAnV86ccxSgpF27EnJNqyG\nwqXWQsHw4OkmT+cLCoc7MaX5+Q3T2TMLk8OU/dShBg79nvKe64FJyrDd1t+5hc9z34UrO3c25jHb\nLVWco6wxwrV6biXvrsVxtvQd/+OyiqA+iitIGkOGVNOjrGzWsd0K9Q7rYEsmhnG7TCC/K3xXnmkk\nrgysyjrjCEYBVjTHxzA6RHnIEtBCfsHzlO22OeeEPNJUaKpw5VH5vGd+XhvH8pRfFlZi90GMDbO5\nF4+8jW8aE3frgmw2xfmJWhMnSWf7rKfO9jkXUFcN0uZnGbVsH49S+sptvwpj952sTTpOXjyqgD/C\nBW7LNG3Upz3GdRtuO8zXtgTQocGRI+R3a5P2NRw//wR1on4BidTJ52L9dQGInrRtrDDntXMkz7Vl\nnqCd1usQdQy483ljQRUAfRYBb22dtRj6ZUbz8l2I/Q5tC3UM2ONo/kfIf4zKrL6hqUe0y/jG1Zuf\ncU3Htfra1g9/oJS3LHS4kS4VWD4K9A4MDHSWT3OyJanAxaVAp+cxTDKMdW2m59VqKATGNjQcw4JI\nr+V4oJZCe+gYc6w9D9f2SGHmaHtFeyp7ufCca10TDJ0oJawJATHUS3fbHT7GHOWm1rFFDeTgimSv\ntSRqUfSbzvZ4kolfO9E6eBVg6NdNrqTuG6Etw6yfPbJlS1vVaujWNAdPlfLssQYS7XF3Qhg37II0\nyEcrpO2znvbwwxCDlsNnj6AL9/fcwJFyqvnmHPU9Sn77yW/bdqyWxNHyaA/uUtzTgKjWQ8cSHXo2\nnSQyca4sTD9Y1myYK31ktwJZAwSIuoSdiRqQSNOdD8cXEoNQhBXVVYrhk8gBGKlMrH0hj7jwQKC+\nAp2PZxRIiS+2KI/5WD3K11I5RT4OfQssFZ4EjyWQ2OZrmBLbXOcmmodWvXGGrS1fGIl6WAdO67nh\ntT7GFyz9dJ8LV+Ke6XDes80BlubReusbbeIYw848cvO/YQ9lU38tlC5IsQ0BTebXpq3Hmlctz2MA\nFKK6svnAfra9vLVJd9/tpXz2CeriMyCoek4bULRwnUfL0uOGiKh11U/fCYajvHq+bqeP8ureyDna\nBRiin+dTaCgYCnehPWGeC6+uSjaOZRwjv1HrwrmvtuXZznoMC7Rpbb9pOfdvGdv8h0QbGeCTgA/x\nI10qsIwUSEBcRg8zm3JxKdCZ/kuGVgGYzUCXe34EGNKrCIkOJbuZnkfBK+Cr9mL0TPau3Z649lbc\nl3SCdjgKNnTaMeQqFDqEHNZCbvid4lF60rAW0sOfwPutZC2JgqPx+DRd9K6x7JU6xspk6htgyNCw\nYGiYtGKPaH0oojvXMDbMBtb20lMfwmroQpJNkNnVO5q5hG5wLVhKCfa6foFFy+Ezh5lXeKSBuz3X\ncySNZQRA2vtDQ0/tQyfMPldfQx7UzV7dYWcgMDbFG6GsHVc3kwXtxZ2vyAqJuY3vKSuH/7SspAou\nxhAAFssY9Vc3suoOb3Le/bIK5y5ukRTdfmYVxamz++fFI+FegBTBAUTkH7DBcQyoDAjkcYb1jrjB\ntcT1U3v6gBeqG0Cm/NzrAlbNk3SWZb512Nlz5xs6NzCsgtaxjd+ctPUzT+ru43L+odvMOOwsVFWg\nEY5j30cShvWQNF24s33mgbfuboez+1oWlt/TWAEFTutiGQFv1qN6K1LPzUdPPtbXNK6wfuZZ/pY4\nxN8EN7HN5R2l/MXjzWvcPpJ4TXgEjRWx5kUe5nueNji8PMyj9u8HtTTf3u38eu1qriv0TVLvWeof\nxG9d0UMvTBrH870Pow+vl/s1BhRaHmX5qnWPxAuLYU3L0V9V2/WZX2Vt1f1N/U36+YHBcs9DA5yl\nSwWWhwK9AwMDneXRlGxFKnDxKNA5+hnMJVjRtgA5fs0k9imkd3FuoYs7tBq6+MPepg4nh4nDHsoe\nsfUBhPRYAYUE25MKg8KSK4O14tV5ha5AFtrcluYkIKal0BXJMYRM3ABD05O3VjctezGUzHEr8/h2\nAIddi6H1szfFSwsxnNyW5+pmv3ZymHHYfccbq6FfU9mGpe+aHVhMabfDxZqibJN1Fg79XrJw+PxR\n7lPejdc3lkMpyPY64U3wEw6JXq69thmalnbIPr6kcuosbaY73gBU9uO955xEv/l2mnsr1rGFzUfK\nyk3zpZfpjH6OWougoBBS2pObV+tj4QPJw6pmPQkX7sK6h5SThK2iSm6NUy2Jgo/A0oUq8lZOYWUc\ncAlA49wijBoQQzX9csuUQ84ECq6Ck4/asiI/D+Zbj94jjq+J1kSnhHp/YgxJkcp7tR6cNeWZ3nT4\nYHquHXbW+wk64TBYnMp1rYmkrRbEWh/rbh5ex2vK9R238KiRONJ5v61/VJjrpuIvPnZ1os0xrEwd\nnn2OD+iQ3xvuLOXTX2vqLqRZbgwxe962xXx9NE/4HPh1OsIr52vpIqH1e6gH+gQYEsYnzQMMYyjY\n+uF9buF9HanDEM/SYeS+XeRH+6LeHtv2mMZ4dejZYzxf8nF4+pF/z7qqeyjn9U0do84kN4s7Hhrg\nZ7pUYHko0JuAuDweZLbi4lJgcDc9eMChoEVvI2w5zNqFw/baIWV74uiN6Qm7YEh4QCFhwmD1Lu6I\n+YIc3cg6oJDxP0HwND2ocwtHIBu/LNKNZxq7McvHtLIe2nCymYtNtgBZ24A1VxdvhKi0+EkEUo29\npL0nWTVWQ3pWAfQkhLLvBONyw5QJ8bjk1/0N3Z5mB0fnG5qHdGFaVxz7beVnDpLuWAOHrlrYjIXR\ntMYT8sZow77DjZXxmp3N4pMwwXmfjEbII1YvU4etV6FnC5YxbI3VUSrYf6TMrZ4s82eGyoqraDNN\njLmINMv9tOeJ4mi8m2PHdisUq/WwnruXnYCoExRmYOAtVHMaa6JprE6AEXlU8LH6Pr6wDnJ/AogK\nCyLnkQ8/hEHTurpZS6J5BSSSzny6kFjzJU3N31fCvyEcUXc1sM3WGud3jwMSue9j4l/XRVrCvS8o\nCobOS9QC6IplnXnGPoZIG/U1fptX1MdI6mH9CHe7zjuub4aJnzvIPcts40fhbQWMH5Bnep3hra9Q\naf2eepa8buFrindhjftaxIx43fRt3lS9fI1XzgXtDncLeyu385rt4hxNvB56irBrSU57LaNaCr3v\n+TMfQzPuj5uZ+eJjLqLnxP96KIwFTujcQ3r/yHAmx1d+nTpT3+nXEN62x1dFsDVb/SMDg+U1Dw1w\nli4VuPQV4L+IdKlAKvByKtAZ/RLWLwDHoWR7K2Er4JCjYW5jIzHU3tjCY4yL7saOJwDFnhmvyaXC\nofPsBMTYt5Be3bl68Zk5qMM4xhW09FoWPZqvROEQt5AqFazlfB09Xz+QGPsY0gPWldLWKXr9Wjb1\nsTwXhoxCGCeAwhPAmEPFwprzAx0i3sFxk4BJ3pZhQyzfOM4ZlCicNOacw91o48rjMIlRnvFsxzHM\nb5qotm5r4llve25NVrb1DOW6JY8LU5zwJ0Crh99o9jMbG4HTlRCh0a97S5l77DOl/4HzpY+iegmO\neWQ0q2Bs1EK5gni9JO/12DbX27GfHU3AGFlWwbz79pdyE8fzNGOU+Bsovt128QXLG/F7YN21NFsJ\n/X7zPPHdNiceKRn72Ncg0Qzl161w5mhq7HuobNwXjoxfnSBinQISOY9Xice4DgYfw48CsG72rSFY\n4BHsKD7SeDR9QFmb1gUvZ5FYUHSlslL20yaB03v91NepqPH3AWniFUQf1I/1S0QtyFJ+/B2l/O6f\nN49GvbWwBnQbjwov3pLG19K6BHyTQQCgeqDZn3yUL62Ql/kbhyZ0YVkhbPuT6s6rJwgKez08Zod9\ntRx6HMdv+B7ikoFrrAS6GBYms6OkU4P+t1DXEIRrjlWXgEni+Zrpw9pMflbEtj75O7xaP9jkXd5D\ngG3zBnnGUD15VcsnoUuendfpUoFLWQF/ndKlAqnAy6nAFnpuKcHeR/ON3h7XcarohQi3N6Njjd6y\n7XCiN7Q3XQKG3BTQKhgKXMKSwGZc0wqODjvXOOYrgLoJnxZLe2KhTTiVJARDF8h4bbhkUs1gZNPk\n2+bnxK9JaOIMNHEUGrGnHoFIbIsLWbZAX841NE/Lsq02xOFv6yjUPXuAtCeBPnp2rYwuLAk4pNyA\nSOKdgFoOHqN+ENQ2rIOxjJe8bGPMLwRMNeNoRpOytIbaTu+NQVyaBZ/aT112Bfyp6/RtP1DOPPUZ\nrEC9DEEuNNBAtB5WpfROz5SV+84DQ3OxYbXWsT6KUkqr7zzEOYpwmHr1NRgmAb7rgalpmjPOeQHs\nAhKNQ7UqcGhxqlJOwLtugL1+E82lqebr9parZFgkdSHJ7FGkQhY3qi48Gh+HoGd+OpIEMAV0WQ7X\nWiK1VrpvorsCjVLGyGnCfaSApvXhX5O2PUadTMt9F844Ij9NHeJrLDyObTuQ11eNR+GG2+bryH/M\nxyRcqAtOp27Kzu3yUz/AD9yvP9i02XPrq1VSJyQqp0fr42Igr/XG88RX849J/8s/Wco//f+acqJM\nyjPek+jtgnZft7XU008FxnxQrieoX+hue9Wk1cVX8Civa30Oiua5lfDXL/4GUmPPiRvWRo7G8XV7\n6g/4++eBNs3bqBMVsf3xq8m5ZdomDo0uHG1y9ZymSwWWhQL8WqRLBVKBl1UBF56EBY9eRBC0J9J8\n5bmQ456E9jb2MHaV9v46wwL26GqEvfiKCedCkMOowpq9pvG5XAKFAqLlBBTSc1ZrYYxtUrYA5wrl\nmAsJSRgeYEgl7DF15m0dhDZXCwuG1WooIApi9tYuRNE79urqY62R0olALGVYt8kpxgQhF4eMXVHg\nh3+vAvyEQ01UxtXqaZvOjBLvEInI45rdDfnY41sX6+GWNqNA6Sh57rq+IYEY16MsIdQPAa8CyoVf\nzXjmy78Q+PrvLwtTK8rskO3Eq7n3bOu1M2XskU+UtczX7N8zF8AlyAUkcjvAjypJQz1U4RCM6laW\n5ynOPHpo0ipkFTJ8rIJNAIfFIItNnDxN9fH9NDs2vbZs7msAdZ905yS6Ytotca4AFGMXIZoer4x1\nxfm4Y8jXtO2jiqYg40bqp5VSy5+Q6GpnZw8IXsaJtCQzq0hOesO1ZmrxG+Wxut+hX3DRmrgNv8C5\nYW687abb/m0jEKmZh/Om5YjSMcXzb7+9lP/nz7hotfMVsNwKUZZdv+1MlHisptcLXkLxH32UV3wf\n+d1sZPTglX+GejhtVvBbizbnaW9MiUW78bZ9zj1USwEyrIW0KQDOduLrr193OJl0vmZCoc/K9vAG\nli/yDJrfRw5vburv62f9jGN7vLYt/qhl1HZQ3fiCjcd0qcByUcBfl3SpQCrwciqgCUOAia1n6FUE\nJlcY23P6Gxf7qnCMXocwiSTAkKNwFpDFUUA0POIR33y8L3y66EMrnWW5M7Cf6atQGMBH+Q4lx7Y1\n9J7ek1AEwzAx0XuGWcV6WFfy1AtkDtmOA2NnoQeHlF05rNXQnvqqq4FDyMHh5Nj+xt6ZfKv5xToZ\n/+QZ9jU5wuQw4FCLoBthOxSt2U36EeKEXvM9cJRz6uGiFGkn4JBr4wiAJyUfjpuhF4nM3t6eWHC2\nLEH2GOdXULc5e34Jg/v25BJCUBXn0b171JG3RPPagXIOLWcGP17mtp0v6wA5DaGR3Fgkj+1rCJ+l\nOUcAxZ00IyARqNgAJPZQpXjkxBUSbZ5prIaQOAUnjxJ345VkSN4WbelCmnMK65CzQ7waWTWiytBW\nr1rTjG9LohWWgfe1MP9eyr+S8tYhnRbLs0jughRXIJvetKYzvWninB8xZ5JH5wrnszzmAEUAczuP\nyi+yaDHUoqh1s05LNTOHWF0A7yMgeXy276d/EEj8oyZ/bgdMGTfAkGvr67mPVF2odqQ3rmG+ln//\nF0v5tY+V8tgx4pDxedIIp5uu4xET0fqe3gsM3805OsbCFNrtl1SC8iyDvNUkXm0L0RO3DkkHWBPv\ni8cbXSg6Xn+CutrGUDgBcY8fVbMmAhFx8SvDvfg155o3MGYuvO8DHc7SpQLLQwF/v9OlAqnAy6lA\n7DZMhpKCi0N66EpdUBImKcIX9zz2OvZOAYH2OPo2jj2w5o0YOgZZzuEFMM06mozq/on2rjrzFQLd\nmkY49DygkfvGsee0B7W3tlDjC6N6wVDoPEdX5/zCky0YarlzfqCrjgVDF7a4uCSskfTYkpFOuKzA\ndgJCOTRUyvEzbFOzE0CEojaSNoaNqYPtC8sgeR8mnpvZ7bgG2iJfe357X3UI6yLEotWyRwLivvAY\nq0zIJKyHmJlWAsjrqN8ccbwnLamTvXcQghWk3SG057jQwLojMjQx+4YfKMOPfLIsSFYAksOrs1SV\nFjZDvsCWCyPOH4R5Cby6hcQewM/hZlcZS0uCiRASkMIxwIhwZRo5igwAoESl9D5yP2XnJ/rmkdjF\nI8LaFTR3I80JllZi6qEzjT/qI7SMCi/K0k8ZDg07pO3cxNNAkK+cwGsa43JoXjeOcU4dA7a455dP\nnJvoYpZhHr87DFmmG2y7aNy5kg6Rq6oQpbzxenKtTm//m3xv+Tc5MQL3qwXRcvRhYeWeaZ3zWYFx\nJef6wU9QLjr62vPnSbR7y220BV2s4wT31t7LDZ6NfugvCb+dctBB3QMKPaoZ902jpdDCHz3MkbKt\nWvzwJC4MoLrttc/L8uMV5Bham2d7X0uxvg4GuA89jy68UdKlAstJAf5LSZcKpAIvpwKdoStL5313\nNJ+LoDPp9kiCUXX2JvbY/OtCocPE+jqcvJoe2WWXm6GFK6CKME8t6oZM66VDxWEhpDcUCh3uDWsh\nhYe1cHEParm1TLpCx/IsTzB0CFmroauFq9VQU5iQ51dVhMNYiEJdYgxTQiGvCocuMT1+mrG+E1ge\nIZSduxm3hIhc1RzDytRNqpCCxinLRSlaGqUmx1ctK3peMq1Dy37U14Up19xAWyg3emjKtM7mMSZV\neQ8asLd2wtje/xpg/A/Uq+3JuyTAfc89qH2DLRxJQ9j8Pd9XRp7+dOk5Tp5Y+5zuONNKF3MDaX4f\n0DR5lGZyvArmnYJPAxKpvqP7FRJthuAiLK7iPNicxzJ6jHKo+lokaepBEuLYdIecz4/zCJBQa2IM\nOQNFMa/QepBEJ89HfgQIMOFojlY3n4dwqSFWqBsmL0ExtrMUlkzTpAhOr+fmI6wqn4Co5dB9IHdg\n/L1mF+GkcyGLX050+qjp9EQPoCJJLBg/Rf19FQMGjdOWV+HQY5xTTxcIaT3U+9r7SJyR0L+N8kdI\nTD6neRRaEYVDH/EC3lkEbuvZcyfpqERAOfqtpF7qKCAe+RgzHG5tyg/hKFdnO9rTJoALn5Xh4ev5\noqPPMZ6rzwCvAdtXLXyTS/kHH+i0Z3lIBZaPAv6Xki4VSAVeZgU6//aJbo6dLYDQTsbswtELah2L\n4VzgDCtY5yi9eXRbvaUzNkQPSU/n+OMCZhyPmrNcmSD0acKxN9cLhoKaPXI91uHjegzTStslUmyU\nbU8cy1bp8etwskO9wxCBoOj5FPe2QD1aDZ0Y5xY4bo8TFknKNF/zEzC19I1BBkMngT78aXr3624A\nsqAsranW3zmYFQ7r/ETjryZfh6ClDq19ZBdjmw4bn4JuHFq+EhpzjqG9dHxXmkhaNTVzjd/S1IW7\nQRgBu9TFjcLJIgjGHt02B0lIAla8evI0kis36P3nr39jGTn4F6WHTb97gCGhQ0iUhgSVeaqxElkm\nqfqJbQBUC4mFR6zK7u3t4hYtTmE9JJ2gI3xpCdSS6Peb587CsACcVYvijca5csxiPnOVs4tIHHKe\npwyHi22+cKVzIYinMSePvMPCxbVWu5hfR/M3YwldTxs28eoJiRM8XvMJ4DETnIAX8wvJLGCuracQ\nKu/PHeV1oC47dzH0fHUjnQvQzUcLoGnaKoUVjSLKSl6HgF5uWN/F5wGHhpPWc5uv9dBZFz6CFeh9\nmscaWvNaWNdJNBcO3XrGL6j0UC/bG23n9TKNYPjl/TYm/pUeXguy7bp4FtyL+tLGCoPG754T7nMO\nfawYXhCP15J4GqeFQl/B6hIMqxJ5XI4K+L9julQgFXgFFeicAZTO1AJq72LPAznEDK7mXmeU3vgK\nCMEvrAiDRg2wIa4mFldQ2Cu6+jigUPKQGtpePaCQRMLji8DQHpg8nMMoHAqGFQa1GPotNC2ILkrR\nWrgLquhupM21RCDBxHgn+Qu5kQ8U4xYzwt5xvHB5457G6qnVMOCQdMKhY5XC4VmI4+ARwqj7jt3E\noZeXfiIOlOBKbWHVeGsgnLUQiWYhe2bbIJBKL5Y7THuoTpi+tEyyCWHnreOl8/4fL+U/PAjkUget\njuJCAGJb96AiNbFueE1nQRe9ZW7H/Xxf+bOlhw3HHdX2EYWcJHUod4Vgp3yAzEmqtg2AcwucxZBo\nboKFj8RsK3z5aITECdjXxSvrSe9rECtlqWIMOSPHPE1xyHkesBMUF3iF5HTn05mnwCPEOVky5tcZ\n1obHEC7A5N8gLOCOxTf9tOPoPuSiTA3MAZwkD0e5ymp2Ffh8zC78kP9dwDJ3gEfHq3HtDUSibKI3\nf8dwpDkBehzKr7yvlP/xg4QRQQDsw3tfSAwg9FoNuB9H7vlqOwvjk7w+6wViXpFdP0B9n6bsw7yG\n9xCJupykrZYdC1PQaKWQin9sL+E68tVV4AtoJn7Ul3sxM4F2BQQat55zVLt67etiXA3Q9cjdcOd+\no5R/vLfTXuUhFVjeCvR0Oh1/19OlAqnAq6hA59RBYAkK0HroKmitg/bWzvVzlXDsV0jPHhY87nlf\nH2YperKAH+LbK/Kv6wS5AEN6YOHQlQhONhMEx/GxyIMe2XmH9pwOCW8AUgU7VwXrPY/6cN/MY86i\nBEM+riA+Bf0eO8E1eQuHi1c1BFCSJvZIAUCNf+AAtEH669q4mosiX+rq2OoY4HdwP3WjvtcQx/1c\nYhU494XSCep64nDpXCvS/NWus+Wz1Aea24p+TtBbQz2kEv/Hc76kQ9fOuxQ4tTxW7zfqAOg1Jx8u\nG3tny1rgSjAU3sil9HB7BVWYOY40hGsk3UrWM1R7NecbkFBLYl3YHZBoOsrVO99wGimmAEz/Jujn\nscvSYVXjvlAlTElsMzwiT512uol83YJGY6tD3gFz3NTKJXQqYxiXuW6fVGOspmnm4auhvI8hi/Es\n0zpaTuVl45k2gJaLuOaHAOsr4N8j997XpHP4eUOrC0nCgsgbUahy+SUg0ayr9bAebVc9D2N4W8Ze\nHtPpI9SPRP4NtGp3c5wDoLUejlB+wDmvo4tyngUmw/ksF7k6NzCGjalvsD8NinmDXBtuAwPUOfps\nBMGYuWBjfcCtm/pQTxkfX1/m3/s+QrxBxPBk9C+/WDoTr2tj5iEVWJ4KJCAuz+earbqEFOg4Tnny\nGATAWFpdXGJP6uoC4dAwoTGWktI5BRhy397Nnq6ajuzgqguTEL2nZqSYZ9hAT2wZIxgKd1oNtfgJ\ndldCH04wc+GLX1Nx4psT1yQRIS9MLGQeS1vJy430zkA4DvO6IMVe/LrrAVraEBv1kSbG59o0fuvN\nYejDh5t5jrv3NOUZ17xj2B2ScZGIWhxmzHbnLdQBIpIYBAHb4oeFXYFx6kTp3E74t3CdW74CZFKn\nK2nLBsrRCqo7DyCOCaPooFXTr84IvgKonn0S1ah/5OGyHgk0ZK5AktVk4dy5FdxeEBKPco/H5/zB\nK/GzLST2I6dzEoU25YvHxPOpkOjG0jMUO0384SPkC/jIwT52h1vJqplN4COkmg47uxDGdTzuNS4k\n+jrUR2/+lhXlkbgCkK+EFjWNt0JexCdPh1G//Knm2nyM7/B+GFK9j4+6WB98PSdWQKPP401vAYy3\n8fcA6alOPCKKCUCkWeUffxC5SSsQVugVCr02v4d/H+vrD9MO2jXMK+Tw+jR1v+k9WA95bPMYsX30\no+aBPg73fw3NqWaUZUWE3nii5FvhMAIIrxbBeHW538Nz+no3/Otry/Tf/mmCFcBE1XttznrP9fFU\n2jDP+0rnAzyYdKnAMlUgAXGZPths1qWjQGd2BLqg5++nFwwIpDNaTQckqHXhkJ5S8021GIaJh3jR\nn/HDnlIo5F/XYihQudrA4WQthe4nKPgIa64cdoj2CmhjCz2xY47CoOULhlEPyrQcCzFf4VALpBY8\n4dAh4ENHAD3ycMmrhNMFyprGOgBhgt8QFOC2N7tvIg1lVji03uatZdM9Wo4dRYvr8JtpL3WwfNui\n+csPETNW2rkLWvs2XefaR0u5B5JxuPkM7ZaYXBntt6rHOW4lL6+lG814ToYTErUkMtdxw9nPNZY7\nrFxWOSCHaCuozhzVERIFQm6XdVQ3IBE5XWwRC9pNg7SCinLyr9k0mmLmKGIabnZeopZFt7jxMbuV\nDIfG2kY6q+S3nH38rlQWEmM7HKpe+d1XoEKiR/ncvyUMj0I5OHeRqsffFh61In7hE821+XjT4e2A\nSc4FxQqI/j0Sf5OQXwAv0d84wGtKHVzVTZPDUUThDSm8HeUXgcQARNKqm3yuFieIpDZnYH0BcYT2\nC9oz3Ou7rqm7C4X8SopzDLUaPm6mi9oScwW55wJ3VzU7R1FnlON/xO/T276fMwoNKvboTX7oFSfC\nvW7Du0CoEBHI0fPqySPOfSfj6XBcDSQyBp8uFViGCviWp0sFUoFXSYGOPeM12+nt6QGFMunA+Yda\nD8OSZxgdkr2qnVr0zHZqdlY4OvCuByoCtMLKB+AIc1oLtfbF/oZAUOxvSIcmZdxwc1NuWPzIz6Fk\ny6xl2ZGaf51vaH5aAR0mduO8g0cgg90AFvV3glwQBvlICDrrIWRpqTzBmKCrm3fugZyAQ8cLHf8L\nIqGQWJVM3seOUQ/yXA0cumS1zjt0T0itnhDFS4HDqMdetcJvIz93f3Zi3jqur7d4wZO8D36JKNTD\nqH5WJUCCeDyPMVZu9/JdupAc2TSWuno2YAzjZM/VyHqU4w6SI7sfenE1cqHJbqYtv5BjDANr5QpZ\nyTpgi6Orj81rAlhyv0TnC/oqxMpeqic/C1cOW/stZ7+cIitfgayyuY/NR6hzGqbxLcNCHTpdbGiW\nt72lsdTXiajldW9r2P6zHyGu9SIvIdG8AiiJFAZe0lDVqAuHiPv5h5v8Hng7daAeO0lPEfGlFU7L\nv/75Ut4HJNoWw+ORc+LfKQ5tx/xD86eefsNvwTKpoEPLwqGJtB4+xSssm8U3knlFY14o906Mvat5\n386R6JwRzAj3Vrx/CERrDaCwODeMODZICpcyAxQJi2dOeMQlfEla8zWtjvclQNFz802XCixPBXoH\nBgY6y7Np2apU4OJWoHPztc2QqXP+tBQKZsKgdCCoxT6HnFdzkD197cxiJj4dlkd7WYeRK0TFF1Aw\nt8SqZEjCIeQRQNHP2TlOunN3sxuyH/SVGCQMrX+ak1yZILFYjn2leQuXQqYWR70bVx84Wsr1tzRw\nWDe/tuOt/av10QuHJ7EKHib+1XsYj4RoXHJaO1j3OBEOtUoeHyL8KkBhK3WgHtIUWcQ+kMLhKFB6\ncqgM7OLeS3CDfbRbwtoAadTtf2JM1fpSvnXeAt2dBGAdenYjcllA85n35raX6b4zZSXzJs1Gpojk\nxFEmz5VximYu8ChXkXwVRTl/0E/qCVw1Xjw+0+FtXgzdmp+PAfm1po0jr9xa9/Dz3GqGJY94vibn\nyVtDsMAY5RNWXw/rLJsH77R1rOXWvzF8zIbF3EXO5aUbbytlzx2w8r62zjIScTTe+pisg/Gq57Qp\ng3iHD/JKPM/rcBOPkjLBcNeVBBS+9T6+2/wF0lsX4vrFlynaYd4ajaXOGY7TXO94J+0HlN0zx+Hm\nXnR8nvJ7eFVXAM4ryPjk9NvL5NwtZWL6Fm4QN2iYxGFSpFYRZuXxnutCAOPguy4iehNf05vGOG1Y\nvKfmVeN6TsWMH76vDA5sKAMP8UDSpQLLTAHf9HSpQCrwaijwhS+yLHQnPam9NR2PlKEpSGDTe62v\nnZumlSALjtFb03PWeXOaZGLeHNSgpS8WpBBWt5RxuPYGCEBLpYShM68ojzLDamgnibfnj3zJP4Z1\n6fy0HLpy2GHiCfK/7bvoxOmttXhKOjqiR+LY3A5CkWBOQwOHj8B9NwNowKG0FNvOGJ8Ekox1dKxx\nGkhz2fACefqpjiAd60A7AiCPls7rIYeX6oTvCfIQ/vgXJio7/AALdK+QeN3tTZ2fe7Jpy2riSF8s\nyZ0/d3eZWPNoWTE83TwqbskJLnAIAAQM+6iqq5O1Gm6mnNXIM4Ox1uHjnu1NpWl9pPNxm4XS2VJl\nF94ENy1xY7BqbEtjc5WYvLXm+b1oQdBdf+aBqrpn4nkkdLZA15pIvFj97LPUtc21qfE6tU2zTGWI\n/QM5+kje+i7KIclHPkKdfP0oXxD1c4DWI+Zgtkf/JumD7+vfNZ98sJFs4O38HUIebfXLr/18KT/z\nwSaf1dTzPH9vuB8k/zjhSL1WYVg++hTp+ftglDLV4sAayieTkzNvRUzius9MpXPTckkAnobo4tpG\ntdcR5n18/T3yGOFENn6I34bFyx83Iwotbo/mV+OYyPNaRj22UfOQCiwTBXoH0oK4TB5lNuNSU2DQ\nmfsb6Om1ENYe1sUheoFN8050anZAxLWvil2F6VHtmetWNQKWfgLv6ly3ifHzE25EvflqIPRGTDtQ\ni1bC2CTP3tcyKUdAjHLaDlCCsLfWqhcLS8jHzahHIJ0DB0lHfXffAMhBRMJrdJTUjSo13vTUIYaD\nsdwdPAQc3tLCIeXZqdZ2aJoy3gjxjh8jzz3cI0/HG8mi+wUZ4dBVy6+3vJfuBqY3l8EetFgPbawh\nD7UNfam39bceArVfrHFVs5MIz1CvMO9x32hQ1NzUVoY4j5UeWFkDp8OxdRRTHhG2bJtQ6H6JgpPG\nVecO+jk9JfdxVktfnd4poMXcxDaPeCykM/8xqq1kbmVjPayqkGYa5fe1cTscgUuODisjzZOh9AJf\nQCHxTROvk02q5xxNE/HJK45c25S7eRx331zKV58jH8IcHvax+IpVA7H1kfFj9ySOvp5Kun8vrx7p\njyPjDuojKL4FS+JvP0I+nE8S16gu5HERuRbE3qtIT1yHmmfQ9xjAGBbDmbdwQuzauBgHp0Kx2oVK\nxaItCrXScY9MakMiDfe8Vvga3n22xA1RyM+KS8OREefxbkemnHtfX68Rq2sj7cWCyEuRLhVYZgr4\n25AuFUgFLrACnTGgyG8ZR49K4THWR6dTh5NjWxc6JO+7QsHeVBfz+oQYvEO/0TvbM+MFRq18blb9\nmtczt5Ff76CYlhLsmXUxzug9vJ1jUA7h0dsTSdJwtbDQeY7jWer63POl3HhHY6YSKu1oTWe9qgXO\nsUfr4ffazpDm0AHg8PbGKijhxESzNr5lxYIXOtYjhyGIN1CunbJ52mbu20bJ5+xQ6dxP+HfiXAB0\nHHITEp3fad1tgy72WEQ7Nwf3E32rd0I3RyiXuq0HCFy6rE4MT0/8w9vKiv/9SSyJBJGFw8JCjZIu\nwL+9mxpYOkfzC4CziWzXYkmcpminm27cFi2MaY5aBuWUkNHqtOfC5mq8FjTnMw7DzlM8VsvSYOvf\nBq5Kjm13jAtkudjlDFbHaR6Z1kTXALnqWQ42LtUIWcWagEPK8th9hMitRa+7ybfx8FSh/My7m3Nu\nl3/5b6kPxt53/zKPlzRnedQjv0ZZlOPofR/XqyhfS+ZHP9yUMXo/f6/Q/jfcwOvZ1sUZFBp1LVMu\n92+SBduBVmMUepr6n1r1BipOLdhq6IVxeitGggpyiy2FYfdEkAA7DuF8xtW3DY5wW0dcRYiWLorT\nBUPD2njdYWXz19PYiOd9GpwuFViGCviWp0sFUoELrYDfJtbyoSmmEoIdjucERScoHEoNwpTji8at\nJqEKY2Gto4Nys+v1O7AUXtVY7KL3Jx8hsgKcFpSwnPFrX8HQsqS8CmR1lbPWQ3dGdnHJKL3+Ha8D\n9OjBw2pIEqoUjqQBidbHujiu6XDxg3/KWOVPk4Z22pl/PRwKoZNQz5FDtPGNUI0dbeuijdRbOBw+\nXjrfK958Z65z9trSWbuXutEmNyIXFDUDapnSkuu8S4egbavlz28FhrnnIh+fiQtXpMD/e2MsWlnB\nXMwVQI8ym3yuZYb4qgej+bNIEJDoWhuq71dT/Hyci1B8HDrnKZI08ojZA57LJLgwdpGnQ79+WnqS\n/Bx2nufcGQnGjxFzqhorgyE/909XUgFRvhcS9WG5pGnOFqhlW8bisr2Qu2x6fCmEa05jCJgn1cWh\nX3wfknBNM8qkrytlrngvsEf+7lXolyFRsNz8u9SHegqKn/1Uk69TYj/6i6UM/Cr5Ur+ARB6zBQm9\nwyScJs04mp1a+xoK9dmQgbthT99ERLsrBUKYEIrIi8OWWPeI+x9/B+GJ/2O3Ek9nI221D8B89NW1\n+XbD632Plmu6Gsdr3guXH/3PD5bOyu/jPF0qsPwU8E1PlwqkAhdaAVcRaxm0FxXaosOjAwoopAPT\nemafVIEwOjav8WF9E7DoZd2g+jzpXdDSSw+rVTAsfIs6Q62IS8CQcsxHqBMMLUNgc0scvZY9TT5u\nN3PFzlJuYtKYeVpH09m/Rj/LSeRhfWmLcKi1cf++Ut723oaAnG/o5yjCEc+627ZzdLAuShkTBLhJ\n1rEoJPLjvjtJnz3GV1E4vkyuc+7G0jnxHNBAW2IDcOoj9J2hrVbA4f4hzh3z9APKs8yHXGVduA4S\nJEwdx28rYxufKD3sIakBq7KKWflxGD8ZvXILTRUSsTQWp1UCbeu1LjJ67bCxsoeOWPnUkqQxn9FR\nU4uiZs23lbkhu2pNdHrmyDGqh8xWQ/DzsbnaOL7AQtw+WMrXyk/rCYkytpDo66YLS10t20Is2/Lw\nPprmj5OmLvF3SxsUj4dzHcWFrY7mlFnqQdKofx3NnSDfvT9O2YSf51x/74eAPrT4zKdKufVdpXzu\nY4AvmsxSZ9cC+Yr08ZoFHG6+q6HdczeT2AL0PAdVmafRITjnhkm18QJx6Dru2ZCf/VGOKkv67nCw\n5zXMoy0j/if+E6JB1zbC/OP3jXOzkqrJLsgZc2dn/2u50NGAhMNGivy5LBXo6eSXVJblg81GXfwK\ndLbRcwt27jvoZDK9HVSdJ2UnpRfgKlgJhe4/+JfPQwzQRYBOCzx+ZkOzTP1ecszHohMMmuBovtG5\nkqc9X3R89HxSRvWuOh4G8ugr4xvJTqIzH110lu1J7TjD8kgemq1cMXFgbyk3vIkyW6BsSLIpK8xT\nlOWkubMnGLa+hrbT/qiXdaKd7iA9zf2nfrd0/u59FvaKuc5maE09t6Cbm5TH/ETaqrX26cfQnKPn\n2su0xPZzz30SHbNlfLRv41fLBiyOgttqkttkrXm2xFHRQtZ+c9nPyPk1lrU0a9N6OAMTnFhiOtcO\naUk0rWyvFGE9NBO88Tz1UQl+bpg9CWj5ye6YlWB5PgvKs2qWrw/DM5zv49lIGS5gERR9nPF6kbHn\ndeG6hmEB1zyjHuZBnFq+R4shu2AlIRH1wo9ydOhY6+Ekkab0VPocR/cfr95ww/xAzr6nV5VeNirv\n2wu8GpfXYOG1/M1w+820Be9q+9ggiIrFBE8EqmAXVC7o4buEbg31VHzJUHMNM7zeI8+ARq/rfVXG\nsxqn808f5zxdKpAK9A4MDHRShlQgFbjwCgwAJ4PXXgc5QA3uI1iXoNpTa76hI415hSw46Tz+dBk4\nfqoMsEH14FcPkAY4NH706MSPnp6Or/bugqCmp/BtR+i4ZEAhGddVzloMhZ+6x+GRoxAFddq8g34W\n2LQDjXRtfaxTeHp6oTUWy0BCZ4DDhauBrT30s3Tm8Y3jNo2MpenKcgJwT/KZvJEy+CjDz24oSBVi\naxn3aGQiXecdR8vAa4HHV9gNTK0ug2tBHa2fjtsK1uonKPiRZD+w7IqMGXTQOut5LG4wSk+ZH5W6\nTjIfcb4ZrUbmkF2Zq/xk6QbYc45IwqEuWPFjM8HByCbAaQlUZv8WEOx89GHI4mhVIk/v4x1yFuzW\nAXtyql9j8ZG6klrjq49EDtcJff5tMAnJnQNK5V2dr415xZxD0uiEwfr3iPfi3BuWz8FobdTm8Xtv\nkYs0XJvOtsQCGsqOI+VZb73yaiXdtHWuHLefZOsAAD4OSURBVBvp55WZY1h5oczdjIVxzz1ksL0p\nSEp2wmVYv2lILKdGYH83uBVOOLRWFqpoce2dWlsjWiFdPXpPgfQ1jNPq+H0ZfGA7i06O15A8pgKX\nrQJpQbxsH302/FJUoPPEYXpXBvf88olQY0fqudZErYeugDZc6pAOwhxFnOhEaXGYougcwzrGMRaC\nAD9+Mm/NLjpl0tlxRvwWCep+gJG2zSOsmoKlcHiKTvvGpjOPtE0WTT9NHjF/so3LJLzO9cDkReI6\n26E3V0n3o5+WRD9tKFe4l+RpzH/TWDpdEb4Rq+1Z2roSzWLRCkdXPP+jsdL/fz5R1gJfa7dyi2wq\n15hNjIwCcfNk5Sbafk5uJUVu45HNGw6fuh2l32N2D0SZ3McW1jwyEBSVVC4N+FI3JPWRuPWMG3KP\nwjJCqMxj2cKnVstYxEIe7t2o9dEFLBuxWm7e1lgV3ZBbMJTBXAATi1p4/MKmr4+vjuAXsGq5ON8I\niunOTSRLDaXhZWAtiB7dt9q4H6d+UTUuTKfl0WtvUs1IN/7M2jL+cYj3Z99ERQDEVYi0RpMsfzjF\nltuI9bGH+WOJZ/LDVDpypqFdUhQUFYrKhqMB3WvDjVvj17ge9Yb7zpu2hjX5dD7wKGHpUoHLV4He\ntCBevg8/W37pKTBoD6y1MeYZ0qEJdLEtDmBoWIwV0ulJGEEUdHaalrQYal5a7LUe1u8jb7qdNKSL\nPQ3pVGMuIPoIhfbsek5jjqRw6JC0i1j4JnJZcQs3KM+FKDFxjfRaq2q5sfUOGDF8qnRuvHjgkBqW\ngYneMngFdXfeobTknFCpyHbHfFAgpQcwGSdsLUjjHpCSE0ni+OmVZXrTaOlFyx5oqe4i1AU7omrY\nMlwYnEcGN3+eJKv1PDLjuQWO31sO41gbPx4d9zx+/XlY64gnxLmGYx3GTqFOAHQ+YtSBe2FN9Jnh\nzdu4QiWPIVY9a70UDL3nI9ULi1FmrbciWQeP38AZvvie7QlPOFmVA7TT1ypeDwKsJ4bwMIz7+p04\nub3MPAgZb8N/kcj3oLUTOev700uDpN2bbmDy4q1ktIMFUPtLeYQJnp94qpTXX08Yje0OK3tea2QN\naEjXGe61x+rrzcXXTbzBgZ1YEo/WCHlMBS47BRIQL7tHng2+lBUYnKLTCxC0t8U7tBxD063pSWoI\ngmg7PAFBULND9Kh3j8OAO2BtkmHe9Vdzv+1II36bxqFloCHA0KNe6hAOY2/CY1zTaQuGxnWlQcQx\nHj72FqSs2CoHy+GtFxccUsNwA5O9ZeD8qjK4iXZAc52vjjOcP1MGhnvK4HoBEQJbgQXxHOCyGqoR\nEl2BXmlodHOZvmKs9LLNUA+3AtC4HZxJlvKkgGR4TNmEq+V4rW9rCffcaZfCm2mC7a0KcvpYPFqU\njzDgrT16L8AP6PJzdBuwDAqjzlH0MRumgcwRdMs1C8vydXEaqDstubLZbXIc+rVs0xkvhpwtG0+W\nTbkcdd7XL3aLr0kS7iufoIw9nFLm08exdNJuvZ/JO3XqelZcbwf0SNkHHLrhoV/ReQxAfJz36vVY\nCt3/xvfIyrs7d7xcNPamW9ig8UYy4z3kWZWHif/pZ1lUBTTeRh4WEItSouace6znnDZKtMdac198\na+71C35wYFcZfOSRMjBr/dKlApeXAr1pQby8Hni29tJVoPNdP8rG03SEQmBYu+jpY3M84ZAwVzpI\nDPb20dm1HV5Y9egAJQX3SnSF8kMfJ+11pCGPWCXador2k7UvNp2dZVxzw2FpzT7jdMqH9nFORy2B\naHUMmCSuHbqWN+GwgugZtqq5i877IncDMODAaYB2kRtg9cXgdob0r7gOqgJEtCKqo3MqlVdyU6bR\nK8r0FiBxEkjktpL6KHxMxoujj4bHRMoyKygRPkM8puCVlTxCIVEroxEC2MyaOAGKnltOe1x8blhY\n/sjLxTKbYCSnUJ4+RDiPtw8AlOHl+lhzQ/xYUMPrMsH8RC2K7qHo1wats/XTWWetf5YVQ9yG4bkM\nt/homsX3PL/mhlJ+Z4glPrwuviY9MN+po4DhFOPpC1QUaCz7iLkRfecQYLd/uDDULNx9ifflGRJ/\nD40J6zclOK6+Il4w4tCwm24FCK+jAIj4yq3QKJV/+GgpX3ie7ZNOcg8ALS0lByBSiRhSrjW1BaSJ\nFhmm81jvt+dvuqsMDuzGmng4YuSPVOByUSAB8XJ50tnOS16Bwa88Sb9IR1rNRrGwheuwINKpShWa\nqWKyftu5CXkCm0OoY9DAYTq5w3TEG66BHMxL2LSTXNQx1mFiknWBTzh0f5URKOoTv4uR5s0koczF\ngKgFscKhi17clO/kwdK5j3IvYTcwPAU4TpTBX34rYA189AsykhztFRDrBEEgcW7LSFkxMRu7rwR3\nI21AHvIGJPKIgt9JJiQ6kj3ro0OuVYCcn7NzpbJGs4Czmk792uKCZzgX3Ko3zHPT+Ejl/ithpyt4\nzCf2cQ0n9cFkfsXQqXwucDGNw87WR0viaXhsGK7atpN7lGsdjBOvlUGW0QTF28LpEpTyut736Bv1\nIGX1aCCE+04+dwfvHe/cHBU5yt2DRJBeXcY9j3eZ8zoq7AInwc09cL58nGFnaNd3XLolSlOI+nNd\nQXHP9VgV76IRgOUarH38DVQePkR6ntdh6Pc2zKsx65GyAxJ9dy3HmiJAnFvj2gLveV09i1c+/9m0\nJKJIustHgQTEy+dZZ0svcQUGZ+hMnXMocbiiIPYpoWPVHBTWwxb2vG9HJ6xpxXOe4bGjpXyNznPK\njpF7MdZIWieFCYgVKischtWQqDGkTB4OE58+hWWHTrn/dtLQYbtaOTpW0nfhkPthZRzFavhcGdAq\ntEzcwENDZXAjVDcBUKyFqBxqVmpXgQiJuPmRLWV+y9myYmyuC2xKuxgSvQ74IxshUavhHI9zgcfk\n2gwXlMwYzjHSGZ8i6mMVBCvH1PMARSvAvTi3TLzXO27COngd4HcjFryDvDYY7HrgNHc0chW0w8q+\nVr5C/h3gDkT6bbua9NYjIJG8qMYSz2WtypJjDf8IeZ7ceweWSsyTV3MxwTtMHcKf4iVbzzvo5o1z\neEXZiqYrgTkhUcLWOv0Y7+3T0Os9mjipaJArabUoBiT6shKutXDPncDgzQDoscYy6YecR4j3uUPk\ncxhYJJ99R4mnpZJ7sZUO5USrzKOeK57nHlv/vfdiRdzHdbpU4PJQoHdgYKBzeTQ1W5kKXNoKDLAl\ny+AcvburlP2IrYCoFTAgj84sTFR0qA5/CoYOBR85VDoLR8rAyqkyeBoKsaeXIDQdxd4j5NXtCEkr\nIMa2NgS7aqEOKR/dXzq7R8rAjVjSnsFC427QdsrxgV7LJK5b3rgB9pmjfDeZTngZuoFzm8rgBnSd\nou3OR/RzJqJRtSRyPjcJ4FxxsvSMzncBr0KiHBKACHMEJCL/nBY9snLUdQr53NrSRzmN4TUgkezr\nLIAKidWaJyLpiBI/PMZ5vaYcrZQVGrff2nxoZwjO6dtAOGXOEGf0LPFoSvytQNn+XTDMlNGwKAKK\nIph1couaFpeiHBGK4PCW6z2dR8P//VP38AcF79pu3teT+L0EnoWIHVv304quHvfzMwKiqaYoadeN\nVIZLG6vJ05w0GD4Gte7F38n9LhwaUW8NfRae82xu/q5SbrmzlLteW8qzz5P1utI5sL0MXre1mXP7\n519kBc2RUvYfJi4WyigAQQI0qW8cLdvfD/Jr/eDA7UDiM1ynSwWWvwL+BqRLBVKBS0YBOlHHIt0T\nJeYi8itsry7MBaTRkzKxrDP7XNMior3giOtkNHv6sP7R8Ql4dsRBHhzD0ck6BjkDuYwNl86Og1hj\nXsil9P0w4Z8EkIjnti8r8FLOoc+Xzk8tKXBRouVz2hm+vnQ27OUZABJVc4nNhSt9aMK/qZ+/p6z4\nN1/maytAC7cEtCCqek5UjY6xlQyPYY5pdMKh7H+aJFdwbxWaTzFU6qNwz8IFOUYns7RpLVbHEwgg\niwvKtzzB0BvCpdMm/bSJQQLq3e+kqnBZVJmwz3+EHzg3vPb7yhthYJumZfHzn8ACuZ1zyr0d3hOf\nfMpkE848SRZ/ZsC5EU4WUVbZSKKrSPEclThGCt89d8o+yXvq3EN39fZzLDs5HvX95N6hJ0r5qV9i\nVfOfc36SPzrIzQmUfnB6hJJ++y+4/xpKAPZi0xzCw1kTvdd66Fexfvy9HLGAf+D3SucRa6a/Dmsi\nB1znIPltIp4g62TOHzRvfxeubY/UK1pnGPfTpQKXiQK++elSgVTgElGgs/ZYdPqdWXpq4SD2McTU\nxPzCzppD37wVwqCAGHBIh+iHdN1SxE5Py6H5OXznmOckhPCXHy2dt13/ojw7D3zwRWFNwPKHw27D\nJblzDFNuOIOZDc20ngrZAobfbf4XSLh1XenR2ji80PC3EqsxPj6ph/TyUl1gMj8C7sAxstxZ4G0D\nHOOnrOcIGz3BY4GN5ljosVZDlxzE4zOvxdZEoTCg0fuWhQsLIuVQy2adESAaMwl8HYjnK3AfwEiL\nIkuCwxlf4Hv0t2geZVtPR37DCE1+33PLC2lMS5TIQzSz6AcOvh44pCFPEvluCPM4JskD3PWj0Rai\nCdU/crQmThOnxwZRqhbwD/1fgN0vEPYZwPFUA4nOoxUSpyjp17+CQMR/DxbCciXemloD4S9aylEl\nDfe9pB5/hesM7Spl6IWbnYOfBhiJv+ZRAmnJu+9rjg5v+/uTLhW4TBTIjbIvkwedzUwFVKDz1DUQ\nBh2mOzprAdOEpQXSTtXxTM1YZxkivu1sCvYtFOhsOQwFQm99AAzfZQ4j0xq0dBmz5jeBZttTpX9m\nrKyBE9fAk64yduF5/fqhVsQVQp3yE32eeAtk5R44awDBHh7DdqBQ9hEU/TzfevLxu86ufA4jMkXG\nY6zsQp4CWhiKDcNXqKtM5hTUmJ3gKyCnEUc8803gMvhTzBKv9FQtjgf/I1xGvXxldt/evDIucPG1\n+RtvaOJ8EKD8V9/NxW6GjfeqB/403m8BCohHgLi1lOLm7q5g4Vbpp/RxGuQfKA4fr8Sv5sbf+hlu\n7ijlw79N5qR1hY1/FEnLAqBkuoFGvFtQRJiopRnqbZERHL4mb847H/h9julSgVTg21EgAfHbUSnj\npALLSIHO87fR+dJpOn4oQNgpT/E5v2ufXEatvDBN6Ww60EBL7wmGTqG6PtBsNaL2oGnMyYSedjxd\n+rHwroFn/ipIFGcExdjmhmzmMAovyJ7CG1lqI/PceYk+uv6tDSTGHoYwkJAnEIY1kfhhqTRPq2K4\n9/UUpHfaaqxtgq00jEV6y8CTPBzVCRucKCYgUv041muP1QuRxtd/CH/09AMMKTMVQgI+ZQEcDwiG\nVOZ5CHgdlBk6AYgEhdX1CiDupBfkIiSGllT2Pf8FYTczB/HPWdwy1FgThcUYd6dW0vU6GreORr3z\nB4lLOWFFtCUqa6toaPg+IPGPOU+XCqQC30qB3oGBgc63ipT3U4FUYPkoMLCFbzpvHCoD/SxeWa/n\n28ebsIKle8kKDJy/ogyuG4X8BBahEC+dSWph1iPLs+yReOV4WYGprQfo00QXi1ZkF6LV6Z8V5Lyv\ndVBwclWx295Mwzc9cJUWSLloiuHo6mKIenE+nuN11KYpow2rwBi3yd94tXzrIgQKeTrTVm/YYu99\nXeTfnMZPm/TR59/MJoiYOE/TkFX4SQpawxGZytM0wuH52F+H8I34ae5ZiSBgG27tWu9Y+PPPs+qY\nhl/9BuDwNI1HACk3vvpDOuPEwixqs38fi1Og57KtzePFtc6FJkiTLhX4NhToTUD8NlTKKKlAKpAK\n/BUKDG6E+lzVvA5IdLKesCJ5xSqU9vh1kOjCEY1bgmJAItEEwoBEw/AOAdd4jFKXGa7PQXDrNMjh\nJ2ElP60XkGcx5okL4DM/vIdYrNKGBzgaaFntMaaftucmEKkEv3rkNFwNM9zoHqs3AlmGve4z5Q5A\njcoKfCfxq2jMXnRZQ6VPYGvU0uc8WGnVOG4E2a00FsXIydz0loTfdxDo5Hjt6zAmAooHnmpECEgk\nfxthBaf58cwx7u8jnnZX5j6+yK1g42tXIz/9ojsZkAqkAi8okID4ghZ5lgqkAqnAS1ZgYHJDGexn\n8uA5QGcdAHQeGBJWwooIuNTjsF9bwZLI1kF+tzkAEQbqQmLLRLJShME9DgXr5SmniPrdZr4KWFYy\niurwshtr+2m94CuLJE2XtSi6wmOAHD+8lssCBL3PqRwmX1UWawJfgD+KDRA0qs2q3iTmW5OaLcWX\nT/XexZxMKrka+PPzhGsBwxFS+fHpIRruZtl19fwq7s3hrZiVwFBYZp0zyHltSK3c4eNYEom7gvt7\nHqDhRxuto1RLtyF4KzxDzfYNAYp7S7mpgqK1ra4HSLwjIbHKkcdU4Bso0JsWxG+gSgalAqlAKvAS\nFBiYYn/E9UDieSDITbQdBpVHwooItHiUYca2xCf5VvilGeBOBgoY9LiIiSKcsAA+GMsvobjI1w2u\nnYd4jrhThK8jjnMJx9kNxm85R3yL5V4dgZW1ZFTBTmuivNUFx1ouYTW8S3zE19kMfaQ3oHWGkazr\nySoWuHyy936AkIsbdrNyGaJ9GJDbwnLsTTTiEEPMm7ASugeipOpqnXkaUHMx07sYInYTbZ0V9V6F\nRKHvFq2CiHf1m1ghfoC8IMIqoo02rnt5Colacw+cwJrIkHe5Gs/z6WJtARLvLINvvq0MfAqLZLpU\nIBVYokAC4hI58iIVSAVSgb+eAoMbWMor4LiBNnxSpjVl4VwiLKHpvTG+uUxvxpLopwuNajCcJBRG\nOo5dWDSstQr6XeXwWA6FzSmn48FWU9zv56g1cQwjW2xrQ1gUSb6RJ2VEOVzGh0jaqhinsldlsQBZ\n4kW6Fw6GhGuTLjm3mnqb/8nnsCBqPXwGOHRVt5bVtfjPQbFuvLiZBnAroC7MmVBvLdzjGXRcwSKW\nWvHIeVFFnz8IJN7IfQTY+WYg9PnGaugqnGgMZdQ0AYrA5nPHAMVnsDwCquUaPPWpDqoefOQRPqMn\nPKZLBVKBqkACYlUij6lAKpAKfAcKxFCz8xHrULObDGrd0i22JAovFRJ7pssCPBTQ1XJNgKK01fpg\nJ+/hZSAXsPjxkZWb4SIAc+oM9jSGZl0l7f7pk2yNc65dxBIWRTKvBjbzsiy/mlL5K7jVsrgRvOa5\njmuBT2cafXX1uh5rdbGblsFhtpwRDCfxgqGbYq/nOATBunDnCgBxkpxtqBXaQ0OGqVA0lGsre/9O\n4pOuWzLhAX9tSXv3Aom3E3aEPa+xJN78RhazPNakrabTak00XXwjnDL3QdD7nyzlJgF0F74l6Dd9\nN99aFhIXgSN306UCl7MCCYiX89PPtqcCqcDLqkAzH5FhVE17LlrxEybuiagTjuJbdQCL4DPJcPP6\nMSx9xDvXoFh8Uk9ukoOI0mWmlovqdLvYpgaD10rAsI8Fu37Ixq0Yp9knsd/scWOMrPolFoeghU25\nK5iszX8xJFZWi3iWaxwzafOydp62l91zq1Wd9/6HuR9pvrfsquUJxsQFwxO0rx+iPQIJu3HjZiiW\nb1V3G6c8bpZtrrUixyDcH3tDKU+dasJrxSr0GXfvc0Dia9D3AO0DOm++nwmQDwGnDGV3IZF4pvVa\na6LfEPS74QcBxX2Pl3IDAvbsJg7lfy+Q+ICLV77GdbpUIBXwtzJdKpAKpAKpwMukQOfsztLZdBgA\nxDK2HrQaA4xcXRs7YkNpWhPX4KfxI3eUiU1PYBybKAujQJMkBuR5cBvASmJemyyupTLOPQiKbgPY\nAxOt2QlnYT1kwXSZha+2w2Ly0CEMa1tgoCswmPmVxvjEHve0Ljoc7eIXV0MHg3Hu+hErYHkWqbN8\nfa2C55bvUed5uNhUkQyuvIGhX4Z13dLGCZGx56ZtN3Nj47Xs6dUmyJfczNBLYe73PgW3Qb/GtZKO\njYcn0izBRCkf/qNSfugnuX6auLeUzlHiHR3mRuM6OynfYW1No+6t6FZEYU0kAyH2Y18q5a3cW3kv\nCbjXA2mnSwVSgVCgdyD3QcxXIRVIBVKBl1WBwQ1OssO55Hgt9OV8RIecYZGwJEpfgotucmuZWTfM\nZ+wAlEkhiDBvCUDGl208r94wzjW2xT3iCop+OVGLYq9WRdh0/gZgEaviZsJnWDw8coSpge3UPq2J\nDlfrIx/zxllOsJR5E8fgtrg4N47OMF1bhRioFa0+1vOWZn7h0yzYcfWylsNj3PFrJwepjNvabIBm\nx4Qxcg9PLvftblY4dxvZVuT7b4Vw1ZJrYXJxbdTJ9HsZMr71+7h/oAx++stlYIEyWzeApXKA72EP\nMIQ9cHaehUSUbz4CqAtYBE0Xsez9CkTN9eo9LFx5A1bEh2sWeUwFLlsFEhAv20efDU8FUoFXSoGB\nyf4yuAEqEwrf95pSvgqdTWkFo0QJzOHm6qWsc1vZ3eVss/vLxFzxQyxd+oJluhDHuawkF3VZSZAj\nDy2Crr1YEPo497vJa+Cu+Vu4vhM2O9QMOZ/DytjHKG+kgeE0+sVcRfIIBiNvq6i3rPYQ6OZ59RZX\nq8Fp+ScUPlm+h0IIHSOWGzb+m8+Xcv0ONsQGCl3BLBS7D+L3Xs+cQSpiDhZqYdyO62icOeP3n+Rz\ne29nwcvR5jpKbNNYk6gwt/Y+znAzi08e+G7g7lkCvrEbGJ0HFvFn58rgGtI73OwUAPU+wnD2M1gU\nV4yWwR/5qYTEbyxhhl5GCiQgXkYPO5uaCqQCF06BgMR+rF+fY77bWkxVgo/b33BoIJGTColaFIHE\nud7hMrua83HiVUgE+HRLIBG2afJZdCSsu+DENLCYWcikHudv5/xuTtjRZZpquTVOn1PwiBdzGuE2\nYdF5kA49m1eMCJOE03AeLVo49Kg3/1/Fnyibyuyhu5qh21FirsOSt4bxbtuo1fAgVkUz9OsqW1lN\nvI9xcDXRGz5D4ZbUBUTSef4UwLeafCq9dkvmnueGK87zDGnffDUWwHuBOxr5LdwAVsyB4dkycHqm\nDJw4XwZpfww/HwUU/84vloFb7/gWOeTtVGB5K5CAuLyfb7YuFUgFXkUFBs5hSRQSzwE/61o4PMdR\n+qpeOKxDzrNby/z0aJlZD/CMsaG2ZCcHLSYyr7+Jl5WCsWw38QIQOTr9Tj97C4CIn8GqeP6zDSgO\nH2U0GENffJMZUOqF7cwjivEHziq03BnnBpv3v8JjGy1D5SfITCikraNUYh3Dyi5Q0Wro5tgBiIQL\njO6LeIgNHS3BCjsEf9+1zb6JhAb4RSO4p3XxnYDnAUyMFRLjXtSuySPCibeXhtx8FZD4OiDxpS02\nGRgRFqcbn3AYTyF/XN4K8BuVLhVIBVKBVOAVU8CVu31Q1zhWMK1qgpPfzDsvrVGqK2y1oDk/z+HX\nVXeU+al7yvimjWVybkVxSNhvL59nrQufc26+5mdSPYTmmovwZCWo6bnVHX2NdR1wmhtpTzPqzYdc\nynmO5zHojbyDbQffxY6CP8Rnkh9ihPUz+E9y/mCbJwxmFc2TLLre+Ya/+b+V8n9wFNO8H1DnWHWd\n3FgnOMb4NeF1GbVWP9teLYHCnZdDLLlejKGOkXvPzP/zF1iM8k5gE/00d8au4Voc0cx48+RpPCv7\nZ4/wY7h03v93OKZLBVKBv64CaUH86yqX6VKBVCAV+DYUGJhcVwY3glSO2/rN5n5IJs5bS6IWNa1k\nYUnk2Oc1YHR+W5lZfZao82XBRR0EB43BQ41p7684WieSU9oSR1AU68pm78lksYrZI/48RrqJWzBc\n7gEc8Uf+X+CR0dYTz7AwGH+QaX6fYpj6UeKCa2XsTQ2TmS/MCZLdB/gCcKsBOC2I6zn328taEF2s\n8pV9AHB/A8IbmAQ5BPFa0WoNdL7mWzFr7oOIa5iN9lwr45NfxTq5hcpaIt5KL05vXGHb+HuPsL/i\nFiyJb8WS+EUjpksFUoGXqEAC4ksULKOnAqlAKvBSFQhI3CAkgmUON2/gqNlvCrtcACJQIyDWYWeh\nyi+wzO0os72n8CvKwlmAUi7CV+Ob19VXboprguu1x/CLKi2L6VzM62nAYns0TD/92gYWh29mNTTg\nOAwcaqQzrt5z01LL+DDKaLmfVdiA4BoAcYRQv718XED0nPB3flcpj59ogNE4bwMGHx8iNYXxr8yQ\n61rinRE3DTDc3PXt+btZ8LMPS6NkW+PEsY3TPefa4eYbN5fBt7wDSNSqmC4VSAVeigL+VqVLBVKB\nVCAVeIUV6JzaxvAx0OSQ8yhz8LSqaW0bAxIdcnUMV5ITirQoriaeXyLpu6/MTqwv4xs3lImJnnIO\nxnID7PNMyZsmzTTc6Adb6pBz3b2lO/QMS9VzwdB5iAukiY2yOc7j3Qdx1mPr58ivm4ZqVSD0uPhc\njPN6vGARFM4cVna4vC6LrvvpBHXSJq8FPofYJwVBzvV1OPkY1sMfAQJjOLqNG3RrHPL/w88AmrdQ\nBjrGiho0cri5OzuSeJYlvbpC+WOfp1GHGW7+bwlIlwqkAi9FAX8706UCqUAqkApcCAXe9yMAH9An\nJI5taixrguBiSBRwhCYhyw2mtbZtfw0MdV+ZYCPD8YVVZeIQjAVLnWedR8wrBOxm9BUUobYuKJJb\n8BLHOmdRUJwjvvtP10mGsWE218KhH4CJj45UuGzzEAZ1YGDMFvRczDs7/1/yk7pa55h76JE2CLv6\n+iUTwc9zKzJJBSogBiTS7hOQ78HTDSBGCcT3KByqi8c/+BTzEd/elOeSa+8HeHIeoMl1nZMoJH6C\nAfHzB4HEf0TcdKlAKvDtKsBvarpUIBVIBVKBC6FA559hAYtFK8CUS4bHgUS3gFnVQuIUCFYticJQ\nzE0EeIREh2w33F/Os8R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"prompt_number": 120, "text": [ "" ] } ], "prompt_number": 120 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####Syntax of mesh\n", "\n", "Plots a surface using grid-spaced data supplied as 2D arrays.\n", " \n", " **Function signatures**::\n", " \n", " mesh(x, y, z, ...)\n", " \n", " x, y, z are 2D arrays, all of the same shape, giving the positions of\n", " the vertices of the surface. The connectivity between these points is\n", " implied by the connectivity on the arrays.\n", " \n", " For simple structures (such as orthogonal grids) prefer the `surf`\n", " function, as it will create more efficient data structures. For mesh\n", " defined by triangles rather than regular implicit connectivity, see the\n", " `triangular_mesh` function." ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Visualizing a vector field" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####Generate some data" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x, y, z = np.mgrid[-2:3, -2:3, -2:3]\n", "r = np.sqrt(x ** 2 + y ** 2 + z ** 4)\n", "u = y * np.sin(r) / (r + 0.001)\n", "v = -x * np.sin(r) / (r + 0.001)\n", "w = np.zeros_like(z)\n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 121 }, { "cell_type": "code", "collapsed": false, "input": [ "src=mlab.quiver3d(x, y, z, u, v, w, line_width=3, scale_factor=1)\n", "mlab.show()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "Image(r\"mlab3.png\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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tf0HdCLJGjD1hPOZpkcnTjW2OfeONkDc23rrO1Bnx/Im55xNBNpjZIFBKAj2b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\n5Nw6OTlZ78/n/w+N84M76T/UbQAAAABJRU5ErkJggg==\n", "prompt_number": 231, "text": [ "" ] } ], "prompt_number": 231 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Isn't it awesome!!!1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#Visualizing volumetric scalar data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####Generate some data" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "x, y, z = np.ogrid[-10:10:20j, -10:10:20j, -10:10:20j]\n", "s = np.sin(x*y*z)/(x*y*z)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 122 }, { "cell_type": "code", "collapsed": false, "input": [ "mlab.contour3d(s)\n", "mlab.show()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "Image(r\"mlab4.png\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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M/cVfTP31XzffpeZCw8i8845582b2yBEnlbJNs3ka5SmVJzwoHfo2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"prompt_number": 123, "text": [ "" ] } ], "prompt_number": 123 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Visualize Flow Field\n", "\n", "\n", "#####For certain vector fields, the line of flow along the field can have an better meaning" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#####So lets plot flow field but first generate some data" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x, y, z = np.mgrid[0:1:20j, 0:1:20j, 0:1:20j]\n", "\n", "u = np.sin(np.pi*x) * np.cos(np.pi*z)\n", "v = -2*np.sin(np.pi*y) * np.cos(2*np.pi*z)\n", "w = np.cos(np.pi*x)*np.sin(np.pi*z) + np.cos(np.pi*y)*np.sin(2*np.pi*z)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 124 }, { "cell_type": "code", "collapsed": false, "input": [ "flow = mlab.flow(u, v, w, seed_scale=1,\n", " seed_resolution=5,\n", " integration_direction='both')\n", "mlab.show()" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "Image(r\"mlab5.png\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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lH1Pf4e/Zy1ZsnnRCqF4+uuiLKBAdWhh1Dnb5FZNixIeV6NJhsW4dwvegGBnT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XgTVQldLhcACIJQyDRcOftYPl1PEskdAx/MXSNnL1LlKhXrdbFBpzsUHPmwaCUA6LouimJPT8/8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Mew7oIdOI7X+r7aM/mMg+VrKZ52JeVoreS0+TXU2UAd9D1+qwFFnn2Sld1102Rnp71kg4HN6z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\nA5Y7t9e000WnAAAAAElFTkSuQmCC\n", "prompt_number": 14, "text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plot a surface " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Generate some data and use mlab surf to generate the surface using regularly-spaced elevation data supplied as a 2D arra" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x, y = np.mgrid[-7.:7.05:0.1, -5.:5.05:0.05]\n", "f=np.sin(x + y) + np.sin(2 * x - y) + np.cos(3 * x + 4 * y)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 125 }, { "cell_type": "code", "collapsed": false, "input": [ "s=mlab.surf(x, y, f)\n", "mlab.show()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "Image(r\"mlab6.png\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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a366ePHIAV1Jn1AWVZaKpdPBy1FjpoHuGmGZXR6iwh9td7wdGniGMkgP06G8z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PYMiP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+WUNUTnTP35hxe5a6UQ75oagNama9+1xXhtPlVoJmt2Gvxme1d8ya/fTBj/+V8dNz0opEbwyl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\n6/FbEUAyEUB5o8j4BdOt9pVKpfJoqBqoUnk0XNxvIFx5LrLd0BR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"prompt_number": 18, "text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Hope this quick tour will start your journey in scientific visulaization with python. \n", "\n", "\n", "\n", "#####We have just scratch the surface, please use the further study material for more in depth learning,\n", "\n", "\n", "\n", "#Further Study " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* http://www.matplotlib.org - The project web page for matplotlib.\n", "* http://matplotlib.org/gallery.html - A large gallery showcaseing various types of plots matplotlib can create. Highly recommended! \n", "* http://www.loria.fr/~rougier/teaching/matplotlib - A good matplotlib tutorial.\n", "* http://docs.enthought.com/mayavi/mayavi/auto/mlab_helper_functions.html - Mlab functions\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# $Thank You$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " Ignore the below lines " ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.core.display import HTML\n", "def css_styling():\n", " styles = open(r'custom.css', 'r').read()\n", " return HTML(styles)\n", "css_styling()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", "\n", "\n", "\n", "\n" ], "metadata": {}, "output_type": "pyout", "prompt_number": 95, "text": [ "" ] } ], "prompt_number": 95 } ], "metadata": {} } ] }