{ "metadata": { "name": "", "signature": "sha256:0df3d61ecf0906fc61010bb3c56c59c6f8111b67f4248087bbcd8b4a7635e130" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Plotting Libaries Overview" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Speaker: Tamara Knutsen" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Email: tamara@openmail.co" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Pretty Comprehensive List here: https://wiki.python.org/moin/NumericAndScientific/Plotting](https://wiki.python.org/moin/NumericAndScientific/Plotting)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You may need to install some libraries first for this notebook to run smoothly. Edit the commands below to the subset of libraries you need to install and execute it. Skip it if you have all of these." ] }, { "cell_type": "code", "collapsed": false, "input": [ "!pip install six, pytz, dateutil, Flask, Redis\n", "!pip install numpy, scipy, statsmodels, patsy, pandas, networkx\n", "!pip install matplotlib, mpld3, seaborn, bokeh, rpy2\n", "\n", "#git clone https://github.com/vispy/vispy.git\n", "#cd vispy\n", "#python setup.py install" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Matplotlib:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib provides a stateful scripting interface for generating graphics similar to MATLAB's syntax and appearance. Matplotlib renders to a \"back end\", which is usually a raster graphics canvas. The strength of this approach is that, once rendered, the data loads into a web page as an image and is therefore very fast. For ipython notebooks with lots of plots, this is the way to go because web browsers are optimized for displaying tons of images. \n", "\n", "Can be used to:\n", "\n", "\n", "**Primary use case:** Very nice \"publication\" quality plots with customized look, typefaces, and annotations, that can be exported to pdf.\n", "\n", "**Strengths:** Very widely adopted, very flexible, tight integration with iPython notebook, great for making presentation quality graphs and figures.\n", "\n", "**Weaknesses:** Uses MATLAB-inspired plotting syntax, renders things slowly without GPU acceleration, steep learning curve, have to specify/customize a lot of variables to make it look good, and the defaults are pretty terrible.\n", "\n", "Matplotlib Example Gallery: http://matplotlib.org/gallery.html" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline\n", "import numpy as np\n", "import pandas as pd\n", "matplotlib.rcParams['figure.figsize'] = 15, 5 #set default image size for this interactive session\n", "matplotlib.rcParams.update({'font.size': 16, 'font.family': 'serif'}) #update the matplotlib configuration parameters" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 5, 10)\n", "y = x ** 2\n", "fig, ax1 = subplots()\n", "\n", "ax1.plot(x, x**2, lw=2, color=\"blue\", label=\"test\")\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\", label=\"test\")\n", "ax2.set_ylabel(r\"volume $(m^3)$\", fontsize=18, color=\"red\")\n", "for label in ax2.get_yticklabels():\n", " label.set_color(\"red\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAA8UAAAFCCAYAAADYGH8lAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/wHGCtAtO+dmXQAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "n = array([0,1,2,3,4,5])\n", "xx = np.linspace(-0.75, 1., 100)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = subplots(1, 4, figsize=(15,5))\n", "\n", "axes[0].scatter(xx, xx + 0.25*randn(len(xx)), label=\"scatter\")\n", "axes[1].step(n, n**2, lw=2, label=\"step\")\n", "axes[2].bar(n, n**2, align=\"center\", width=0.5, alpha=0.5, label=\"bar\")\n", "axes[3].fill_between(x, x**2, x**3, color=\"green\", alpha=0.5);\n", "\n", "axes[0].legend(loc=2); # upper left corner\n", "axes[1].legend(loc=2);\n", "axes[2].legend(loc=2);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAA38AAAFCCAYAAABBzGTVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRKQEqPgTEREREREpAf8DBgm+UT7rkTwAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Interactive Widgets" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "IPython has recently introduced interactive widgets that tie together Python code running in the kernel and JavaScript/HTML/CSS running in the browser. Just like manipulate command in Mathematica, it works by repeatedly calling the function that renders the graphics with the new variable values, generating a new image on each iteration. This can be slow." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.html.widgets import interact\n", "import networkx as nx\n", "\n", "matplotlib.rcParams['figure.figsize'] = 5, 5" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "# wrap a few graph generation functions so they have the same signature\n", "\n", "def random_lobster(n, m, k, p):\n", " return nx.random_lobster(n, p, p / m)\n", "\n", "def powerlaw_cluster(n, m, k, p):\n", " return nx.powerlaw_cluster_graph(n, m, p)\n", "\n", "def erdos_renyi(n, m, k, p):\n", " return nx.erdos_renyi_graph(n, p)\n", "\n", "def newman_watts_strogatz(n, m, k, p):\n", " return nx.newman_watts_strogatz_graph(n, k, p)\n", "\n", "def plot_random_graph(n, m, k, p, generator):\n", " g = generator(n, m, k, p)\n", " nx.draw(g)\n", " plt.show()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "interact(plot_random_graph, n=(2,30), m=(1,10), k=(1,10), p=(0.0, 1.0, 0.001),\n", " generator={'lobster': random_lobster,\n", " 'power law': powerlaw_cluster,\n", " 'Newman-Watts-Strogatz': newman_watts_strogatz,\n", " u'Erd\u0151s-R\u00e9nyi': erdos_renyi,\n", " });" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAagAAAGTCAYAAAB9D4auAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3XdUFNfbB/BnJfSmwNIVRQQVEBBBpQixiy2KBTXEgsaK\nmESNsUVjFwt2jbGiYEElUSyxYNfYsEIsYFQQFAuIhbrf9w9/8IbQtgFj8nzO8Zxkd+6dOyj73blz\niwgAiDHGGBOYGtXdAMYYY6w0HFCMMcYEiQOKMcaYIHFAMcYYEyQOKMYYY4LEAcUYY0yQOKAYY4wJ\nEgcUY4wxQeKAYowxJkgcUIwxxgSJA4oxxpggcUAxxhgTJA4oxhhjgsQBxRhjTJA4oBhjjAkSBxRj\njDFB4oBijDEmSBxQjDHGBIkDijHGmCBxQDHGGBMkDijGGGOCxAHFGGNMkDigGGOMCRIHFGOMMUHi\ngGKMMSZIHFCMMcYEiQOKMcaYIHFAMcYYEyQOKMYYY4LEAcUYY0yQOKAYY4wJEgcUY4wxQeKAYowx\nJkgcUIwxxgSJA4oxxpggcUAxxhgTJA4oxhhjgsQBxRhjTJA4oBhjjAkSBxRjjDFB4oBijDEmSBxQ\njDHGBIkDijHGmCBxQDHGGBMkDijGGGOCxAHFGGNMkDigGGOMCRIHFGOMMUHigGKMMSZIHFCMMcYE\niQOKMcaYIHFAMcYYEyQOKMYYY4LEAcUYY0yQOKAYY4wJEgcUY4wxQeKAYowxJkgcUIwxxgSJA4ox\nxpggcUAxxhgTJA4oxhhjgsQBxRhjTJA4oBhjjAkSBxRjjDFB4oBijDEmSBxQjDHGBIkDijHGmCBx\nQDHGGBMkDijGGGOCxAHFGGNMkDigGGOMCRIHFGOMMUHigGKMMSZIHFCMMcYEiQOKMcaYIHFAMcYY\nE6TPqrsB/3WZmZn08uVLIiIyNDQkfX39am4RY4wJA99BVYOcnByKjIwkb2dnshCLqY2TE7VxciIL\nsZi8nZ0pMjKScnNzq7uZjDFWrUQAUN2N+C/ZuWMHhQwfTo4AjcrKoq70/7exeUS0n4hW6+jQ7Ro1\naNm6ddQ3IKD6GssYY9WIA6oKLV+yhBZNnUr7Pnwg1wqOvUpEPbS0aPysWTT222+ronmMMSYoHFBV\nZOeOHTRhyBA6++ED1ZGyzGMi8tLSotANG/hOijH2n8MBVQVycnLIytiYDr55Q01lLHuViDrr6dHj\n9HRSU1OrjOYxxpgg8SCJKrB3715ykEhkDiciIlcispdIaO/evcpuFmOMCRrfQVUBb2dn+ubGDeop\nZ/k9RLTM2ZlOx8Ups1mMMSZoHFCVLDMzkyzEYsrIy5N70lkeEdVSVaWU9HSeJ8UY+8/gLr5K9vLl\nSxKrqys0I1qViIzU1OjVq1fKahZjjAkeBxRjjDFB4oCqZIaGhpSek0N5CtSRR0QvcnPJwMBAWc1i\njDHB44CqZPr6+uTSuDHtV6CO34iopoYG3bhxg/iRIWPsv4IDqgqM+v57Wq2jI3f5RSoqlCGRUMeO\nHcnc3JzmzJlDqampSmwhY4wJD4/iqwKKTtT9/LPPyMLGhgICAig6Opru379PBQUF5OvrSyNGjCA/\nPz9SVVWtjKYzxli14TuoKqCurk7L1q2jLzQ16bEM5R7Tx/X4ft66lebNm0ebNm2iRo0a0Z49e6hH\njx506tQpGjFiBJmZmdHEiRPp7t27lXUJjDFW5TigqkjfgAAaP3s2eWlq0lUpjr9KH9fhGz9rFgX0\n60dffPEFxcfHk7W1NQ0YMIBcXV3p7t27NHz4cCIi2r17N7Vs2ZK8vLxo06ZN9Pbt20q9HsYYq2zc\nxVfFCrfbcJBIaNTbt9SNim+38RsRrdbVpTsiUZnbbdy/f5+Cg4PpyZMntGrVKmrRogXt2LGDwsLC\nKD09nQwMDCg5OZl69epFQUFB1Lx5cxKJRFV4lYwxpjgOqGqQm5tLe/fupdULFtC1O3fIUFWV3r9/\nT+9UVEisq0sL1qyhnj17lrs4LACKjo6mcePGkZeXF4WGhpKZmRmdPn2awsLC6NSpU+To6EiPHz8m\nLS0tCgoKosDAQBKLxVV4pYwxJj/u4qsGampqFBAQQKfj4iglPZ2OXL1KmaqqdOaPPwi6uhQQEFDh\nyuUikYh69OhB8fHxVLduXWrSpAktXbqUPDw8aN++fXTlyhVydXWlzMxMMjY2pqNHj1KDBg2oV69e\ndPDgQSooKKiiq2WMMfnwHZQAACBVVVV69+4d1alThy5dukRWVlYy1XH37l0KDg6mp0+f0qpVq8jH\nx4eIiN68eUObN2+m5cuXk56eHjk7O9OtW7coNTWVBg0aREOGDCFra+vKuCzGGFMI30EJgEgkIh0d\nHXr//j15e3vTmTNnZK7Dzs6Ojhw5QjNnzqTAwED68ssvKTU1lfT09Gjs2LF09+5dmjlzJj169Iie\nPn1KPXr0oPT0dGrevDm1bt2atm/fTh8+fKiEq2OMMflwQAmEjo4OvX37Vu6AIvoYdP7+/pSQkEC1\na9cmR0dHCgsLo/z8fFJRUaGuXbvS8ePH6dChQ/ThwwfatWsXdenShTp37kzh4eFkaWlJo0ePpmvX\nrin56hhjTHYcUAKho6ND7969UyigCmlra9O8efPo3LlzFBMTQy4uLnT69Omi95s0aUK//PIL3bt3\nj+rXr0+LFy+m/Px8Cg0NJWNjY+rZsye5uLjQihUreAV1xli14WdQAuHq6krr1q0jFxcXMjAwoMTE\nRDIyMlK4XgC0Z88e+vbbb8nHx4dCQ0PJ1NS02DG5ubm0e/duCgsLo4yMDBozZgzVq1ePIiMj6dCh\nQ9SpUycKCgqi1q1bU40a/J2GMVY1+NNGIAq7+FRUVKhly5Z09uxZpdQrEomoV69eFB8fTxYWFuTo\n6EjLli2j/Pz8omPU1NRowIABdOnSJdq8eTOdO3eOBg8eTGZmZhQbG0seHh40fvx4ql+/Pv3000/0\n+LEs62Ewxph8OKAEojCgiEgp3Xyl1T9//nw6ffo07d+/n5o2bVriHCKRiDw9PWnXrl107do1+uyz\nz6hdu3YUGxtLy5Yto927d9OzZ8/IxcWFOnbsSLt376acnByltpMxxgpxQAlEZQdUoUaNGtHRo0dp\n6tSp1L9/f/rqq68oLS2txHFWVla0cOFCevToEbVr146GDx9Ow4YNI3d3d0pMTKTAwEBas2YNWVpa\n0rhx4+jWrVuV0l7G2H8XB5RAFA6SICJyd3en+Pj4SltPTyQSUZ8+fSghIYHMzMzI0dGRli9fXqzb\nr5C2tjaNHDmS4uPjae7cuRQREUGNGjWiBw8eUGRkJF28eJF0dHSoU6dO5O7uTuvWraPMzMxKaTdj\n7L+FA0ogtLW1iwJJQ0ODnJ2d6eLFi5V6Th0dHVqwYAGdPn2afv31V3J1dS3z2VeNGjWoU6dOdOTI\nETp+/DilpqZSw4YNadasWeTv70+PHj2iGTNm0O+//05WVlY0cOBAOn36NG+wyBiTGweUQPy9i4+o\ncrv5/qlRo0Z07Ngxmjx5MgUEBNCgQYPo2bNnZR7fuHFjWrt2LT148IAaNmxI3bp1ozZt2lBOTg7t\n2rWL7t+/T05OTjRy5Eiys7Oj+fPn8waLjDGZcUAJRHUGFNHHbr++fftSQkICGRsbk4ODA61cubLU\nbr9ChoaGNGnSJEpKSqKRI0fSwoULqUGDBrRt2zYKCgqi27dv09atWykxMZEaN25MXbt2pejoaMrL\ny6uy62KMfbo4oATi78+giIg8PDzo8uXLlJubW6Xt0NXVpYULF9KpU6do79695ObmRufPny+3jKqq\nKvXt25cuXLhAkZGRdPnyZapXrx6FhISQkZERrV+/np48eUI9e/akRYsWUe3atXmDRcZYhTigBOKf\nd1A1a9ak+vXrV9uyQ40bN6bjx4/T999/T3369KHBgwfT8+fPKyzXvHlzioiIoJs3b5KOjg61bNmS\nunXrRn/88QcNGjSIzp49SydPniQiIh8fH95gkTFWJg4ogfj7IIlCVd3N908ikYgCAgIoISGBDA0N\nycHBgVatWiXVVh2WlpY0d+5cevToEXXt2pXGjh1LTZo0oQ0bNhQNYX/y5AlNmDCB9u3bR7Vr16Zh\nw4bRhQsXeGAFY4yIOKAE4593UETVH1CFdHV1adGiRRQbG0tRUVHk5uZGFy5ckKqslpYWDRs2jG7f\nvk1Lliyhffv2Ud26dWnq1KmUnp5O3bt3p99++43u3LlD9evXp4EDB5KDgwMtXrxYqjs2xti/FweU\nQJQVUOfOnSOJRFJNrSrO3t6eTpw4QRMmTCjaTj49PV2qsiKRiNq1a0cHDhygM2fOUEZGBtnb29OX\nX35JV65cIXNzc5o0aRLdvXuX1qxZQzdv3iRbW1vy9/fnDRYZ+4/igBKIfw6SICIyMzOjWrVqUXx8\nfDW1qiSRSET9+vWjhIQEqlmzJtnb29Pq1atlChBbW1uaM2cOxcbGUp06dahnz57k5eVFu3fvpoKC\nAmrVqhVt2bKFHj16RO3bt6eZM2eSlZUVTZ06lZKSkirx6hhjQsIBJRClPYMiEk433z/p6enR4sWL\n6cSJE7Rr1y5yd3evcGJxTk4ORUZGkrezM1mIxdTD25siV6ygV2lp9CY5maZNm0bW1tYUGhpKr1+/\nJn19fRo+fDj98ccfdOjQIXr37h1vsMjYfwmYIDx58gTm5uYlXt+wYQP69etXDS2SnkQiwfbt22Fu\nbo6goCA8f/68xDE7IiNhoqeHtrq62EuEPCLgf39yibCHCG10dGCkrQ1vLy/UqlULI0eOREJCQrF6\nsrOzsWvXLnTo0AEGBgYYOXIkrly5AolEUlWXyxirInwHJRClPYMi+v87KAh4ZJtIJKL+/ftTQkIC\n6enpkb29Pa1Zs6ao22/5kiU0YcgQinnzho5mZVEPIvrsb+VViagnER17+5YOv3tHf127Rt8EB5NY\nLCYfHx/y8/Oj33//nQCQuro69e7dmw4fPkxxcXFkampKvXr14g0WGfsX4g0LBSIvL480NDQoPz+f\nRCJR0esAyMzMjC5evEh169atvgbK4NatWzR69Gh69+4d9ejRg36eO5fOfvhAdaQs/5iIvLS0KHTD\nBur+xRcUGRlJYWFhlJeXRyEhIRQYGEhaWlpFx0skEjpx4gRt2LCBN1hk7F+EA0pANDQ0KCMjgzQ0\nNIq93rt3b+rWrRsFBgZWU8tkB4A2b95MY4KC6AxATWUsf5WIOuvp0eP0dFJTUyMAdOrUKQoLC6Nz\n585RUFAQjR49mmrXrl2s3KtXrygiIoI2bNhAGRkZNHjwYBo0aBDVqSNtPDLGhIK/XgrIpzZQojwi\nkYg0NDSohba2zOFERORKRPYSCe3du7eoPl9fX4qOjqaLFy9SdnY2OTs7U0BAQLHBGQYGBjRmzBiK\ni4ujPXv2FG2w2KFDB9q1axdvsMjYp6Tann6xEurUqYOHDx+WeP3atWto2LBh1TdIQV5OTtjzt8EQ\nsv6JIoK3s3OZ9WdmZiIsLAzW1tZwd3dHREQEcnNzSxz3/v17bNu2DZ9//jmMjIwQEhKCmzdvVual\nM8aUgLv4BMTe3p527txJDg4OxV4vKCggQ0NDun//PonF4mpqnWwyMzPJQiymjLy8YgMiZJFHRLVU\nVSklPZ309fXLPK6goIAOHDhAy5Yto3v37tHo0aPp66+/JkNDwxLHJiYm0qZNm2jz5s1kbm5OQUFB\nFBAQUG79jLHqwV18AlLWSD4VFRVq2bJlmZsJCtHLly9JrK4udzgRfRzdZ6SmVuHIPBUVFerevTud\nOHGCYmJi6P79+2RjY0Nff/013blzp9ix9evXp9mzZ9OjR49o5syZdPToUd5gkTGB4oASkNJWkyj0\nKT6Hqg5OTk60ceNGunv3LtWuXZvatm1L7du3p5iYmGJLRqmoqFCnTp0oKiqq2AaLtra2NG/ePHr6\n9Gk1XgVjjIgDSlDKGiRB9OkFlKGhIaXn5JAiWxPmEdHzDx8oMTFR5k0OjY2Nadq0afTXX39RYGAg\nTZ8+nRo2bEirVq0q8TMWi8X07bff0u3btyk8PJySkpLI3t6eN1hkrJpxQAlIWV18RERubm6UkJDw\nyeybpK+vTy6NG9N+Ber4jYjMDAzou+++I0NDQ+rQoQPNnTuXzp8/L/VGjurq6hQYGEhXrlyhjRs3\nUmxsLNWtW5fGjx9Pf/31V7FjRSIRtWjRoswNFv/8808FroYxJisOKAEpL6A0NDTIxcVF6m0uhGDU\n99/Tah0ducuv1tWlOStW0I0bN+jhw4c0cuRISk9PpzFjxpChoSG1a9eOZs+eTWfOnKlw+LhIJCIv\nLy+KioqiK1eukEgkombNmlGvXr3o7NmzJZ496ejo0ODBg4s2WBSJRPT5559XuMFiZmYmJSUlUVJS\nEmVmZsp97YwxnqgrKN9++y1ZWFjQd999V+r7kydPps8++4x++umnKm6ZfHJycsjK2JgOvnmj8ETd\nf3r9+jWdPXuWTp06RSdPnqS7d++Sm5sb+fr6ko+PDzVv3rzEhOd/evv2LW3ZsoWWL19OOjo6NG7c\nOOrTpw+pq6uXenxeXh4dPHiQNmzYQGfOnCF/f38KCgoiFxcX2rdvH61esIDi4uNJ/L/y6Tk55NK4\nMY36/nvy9/cv9ToYY+WozjHurLhp06Zh5syZZb5/8OBB+Pr6VmGLFLcjMhK1NTXxSIb5T4+IYESE\n+fPmSX2ejIwMHDhwABMmTIC7uzu0tbXh4+OD6dOn48SJE3j//n2ZZQsKChATE4N27drBzMwMM2fO\nxLNnz8o939OnTzFv3jyYmphAu0YNtFJXL3cRXBM9PeyIjJT6ehhjAAeUgMyfPx8TJkwo8/2MjAxo\na2sjJyenCluluGWLF6O2piauSBFOV4ggFong3rQpxGIxjh07Jtc537x5g0OHDmHSpElo0aIFtLW1\n4eXlhalTp+Lo0aN4+/ZtqeVu376Nr7/+GjVr1sTgwYNx/fp1pV1XbS0tLFu8WK7rYey/iANKQFau\nXImRI0eWe4yzszPOnz9fRS1Snh2RkTDW1UXz/91V/PNOI4oIrXV1YaKnh5UrV8LS0hIzZ86EWCxG\nRESEwufPysrCkSNHMHnyZHh6ekJbWxseHh744YcfcOTIEWRlZRU7Pj09HXPnzoWFhQV8fX0RHR2N\n/Pz8Ytcjz51hbS0tvpNiTEocUAKyefNmBAYGlntMcHAwFixYUEUtUq4xY8bAz88P3s7O0FZVhZW2\nNszV1KBRowa8nZ0RGRlZdHd47do1GBkZITw8HJaWlli0aJFS2/Lu3TscO3YMU6dOhbe3N7S1tdGi\nRQt8//33OHjwIN68eQMAyM3NRWRkJNzd3WFtbY2wsDA8f/4cJnp6uCrH8k1XiGCip/fJ3QUzVh04\noAQkKioKPXr0KPeYXbt2oUuXLlXUIuVJTU2FgYEBnj59CuBjd2VSUhKWLVuGL774otQyBw4cgKmp\nKc6cOYPGjRvjm2++QUFBQaW07/379zhx4gR+/PFH+Pj4QFtbG25ubpgwYQIOHDiAjIwMXLhwAX37\n9oW2tjY8VVXlXmPQR0tLKXeFjP3b8TBzASlvJYlC3t7edO7cuWKrInwKFi9eTAMGDCAzMzMi+jhP\nql69euTs7Ezp6emlluncuTNNnTqVhg0bRvv376fLly/TgAEDKmVFck1NTfr8889pxowZdPLkSXrx\n4gUtWrSIdHR0aMmSJWRpaUljxowhCwsLsqpVi75VYPJu8Pv3NG7IEN5gkbEKcEAJSHkrSRQyNTUl\nQ0PDEmvMCVl6ejpt2LCBJk6cWOI9CwsLSklJKbPs6NGjizYgjImJodzcXOrUqVOlzzHS0NCgVq1a\n0fTp0+n48eP04sULCgsLIy0tLUpMSaFuCtTdjYje5uXRqVOnyNramvr160fHjh375L50MFbZOKAE\npLyJun/3qS17tHTpUurbty9ZWlqWeM/c3JxSU1PLXaQ1NDSU9PX1KTg4mHbu3EmNGjWiVq1aVel6\neerq6uTl5UWDBw8mM21thRfBFWtoUGhoKCUlJZGnpydNmDCBrK2taebMmfT48WNlNZuIePIw+3Rx\nQAnIvzGgXr16RevWraNJkyaV+r6mpiZpaWnRy5cvy6xDRUWFtm/fTvHx8TR37lxauXIlBQQEkIeH\nByUkJFRW06vE3zdY3Lt3Lz1//lwpGyzm5ORQZGQkeTs7k4VYTG2cnKiNkxNZiMXk7exMkZGRUi8X\nxVi1qe6HYOz/paamwsTEpMLj7t+/DwsLC0gkkipolWKmTZuGoUOHlnuMvb19ufONCqWmpsLKygrh\n4eEAPo56NDExwblz55TSVmlkZGRAW1UVuQpsxJhLBK3PPkNycnKp51B0g8UdkZEw0dNDW11dnjzM\nPmkcUAKSlZUFbW3tCo+TSCQwNTVFUlJSFbRKfq9fv4ahoSESExPLPa59+/Y4ePCgVHXevn0bYrEY\nJ0+eBAAcOnQIRkZGiI6OVri90lLGTsGm2trQ0tKCi4sLRo8eje3bt+Phw4clvnQkJiZi6tSpsLS0\nhJubG9auXYuMjIwy28aTh9m/CQeUgBQUFEAkEkk1lLp3797YsmVLFbRKfj/99BMGDhxY4XGDBw/G\n+vXrpa732LFjMDY2xp9//gkAuHTpEkxNTbF27Vp5myqTiIgItNHRkTugvDU0sH37dmRnZ+PChQtY\nvHgx/P39YWpqCjMzM/j7+2Px4sW4cOECsrOzAQD5+fk4ePAg/P39oa+vj8DAQJw8ebJYoPHkYfZv\nwwElMFpaWiVWNSjN8uXLK+w6q06ZmZkwMjLC3bt3Kzx2ypQp5a5BWJqNGzfC2toaz58/B/Cx27N+\n/fqYNm1apXd9ZmdnKzRRV0dFBfb29ti/f3+xtkokEjx8+BDbt2/H6NGj4ezsDC0tLXh6emLixImI\njo7Gs2fP8Pz5cyxevBiNGzeGjY0N5s6di6SkJJ48zP51eJCEwPxbBkqsXr2a2rdvT7a2thUeW9FQ\n89IMHjyY+vXrR926daMPHz6QjY0NnT9/ng4dOkTDhg2j/Px8eZteIXV1dVq2bh19oalJsoy3e0xE\nPbS0aH14OM2dO5cmTZpE3t7edPbsWSL6uCVI3bp1qX///rRy5UqKi4ujtLQ0mjlzJuno6NDatWvJ\nzs6OPDw86MaNGxQcHEw//vgjPXjwgBwcHKj+u3cyrxpPRORKRPYSCe3du1eO0oxVoupOSFactbU1\nHjx4UOFx+fn50NfXr3DV7eqQlZUFY2Nj3LlzR6rjo6Oj5VodQyKRoF+/fujVq1dRt2hWVhY6dOiA\nzp07l7kgrLLI/LxHU7PY8578/Hxs2bIFVlZW6Ny5M27cuFHhOQsKCnD79m38/PPPGDRoEGxtbaGv\nrw8zHR2Fn4t5OztX5o+LMZlxQAmMo6OjVCPaAKBTp07Ys2dPJbdIdqGhoejTp4/Ux1++fBkuLi5y\nnSs7OxteXl6YOHFi0Wu5ubkYOHAg3N3di7oAK0vhiLk2/wuIUhfB1dGBvpoaWnl7l3kNy5Ytg4mJ\nCQYMGFDhoJJ/evDgAbRUVIqdW56RhdqqquUOwGCsqnEXn8BI28VHJMxuvvfv39PixYtp6tSpUpcx\nNzeXuYuvkLq6OkVHR9O+ffvo559/JiIiVVVV2rRpE7Vt25Y8PT0pKSlJrrql0TcggB6np9PQ9etp\norEx6dWoQXW1tamutjbVUlWl0Vpa1GLsWEpKTaUnycl08ODBUq9h7NixdP/+fbK1tSU3NzcaM2YM\npaWlSdUGkUhExpqaCk8eNlJT46WXmKBwQAnMpx5Q69evp5YtW5Kjo6PUZUxMTOj169eUJ+f6doaG\nhhQTE0PTp0+nI0eOENHHD+05c+ZQSEgIeXl50bVr1+SqWxpqamoUEBBAmsbG9NuRIxR76xbF3rpF\nKenpNOaHH+jdu3dkYGBAv/zyCw0fPrzM1Rx0dXVp+vTp9Oeff5KamhrZ29vT1KlTefUH9t9V3bdw\nrLgePXogKipKqmOzs7Ohra1dtDVEdfvw4QPMzc1x7do1mctaWFjg0aNHCp3/zJkzEIvFJZ7l7Nmz\nB2KxGL///rtC9Zfn0aNHMDIyKrZnFABcv34d1tbWRaP1hg8fjqCgIKnrHDx4MMRiMUJDQ8vcFVhZ\nk4e5i48JDd9BCYw0K5oXUldXp6ZNm9KFCxcquVXS2bhxIzVt2pRcXFxkLmtubq7w2npeXl60fPly\n6tq1a7G6evbsSXv27KEvv/yStm3bptA5ynLo0CHq2LEjqaioFHu9SZMmlJubS3/++ScRES1cuJCO\nHj1Kv//+e4V11qlThzZu3EgnT56k8+fPk62tLf3yyy8lRijq6+uTS+PGtF+B9v9GRE3t7UlfX1+B\nWhhTLg4ogZFmRfO/E0o3X05ODs2fP5+mTZsmV3l5hpqXJiAggIYPH05dunQp9nP09vamEydO0JQp\nU2jhwoUEQOFz/d3BgwfJz8+vxOsikYi6dOlCBw4cICIiPT09Wr9+PQ0bNozevHkjVd2NGzemvXv3\nUlRUFG3fvp3s7e0pKiqq2DUMHz+ewtTV5W7/al1dGvX993KXZ6wycEAJjCzPoIiEE1Bbtmwhe3t7\ncnd3l6u8Mu6gCv3www/UtGlT6tevHxUUFBS9bm9vT+fOnaPw8HAaN26c0ra3yM7OppMnT1L79u1L\nff/vAUVE1L59e2rXrl2p24+Up3nz5nTixAlasWIFzZs3j9zc3OjYsWN07tw5WrBgAcXl55M8T9qu\nEtGl9++paVN5ZlExVnk4oARG1oDy8PCgK1euVMomftLKy8ujefPmyX33RKS8Oyiij3cta9asoezs\nbBo3blyxOw1LS0s6c+YMXb9+nQICAig7O1vh850+fZocHBzI0NCw1Pdbt25NcXFxxUbILV68mGJi\nYujEiRMynUskElH79u3p8uXLNHz4cPL396c2bdpQQEAArQ8Pl2vycFdVVerWpw95enrS+vXrlX53\nyZi8OKAERtaA0tPTI1tbW7p69Woltqp827Zto/r165OHh4fcdVhYWCh1fydVVVWKioqi2NhYWrZs\nWbH3atawt8xsAAAgAElEQVSsSUeOHCEA1LFjR8rIyFDoXGV17xXS1NQkX1/fohGGRB+fG61bt46G\nDh0q0983EVFBQQGtXbuWpkyZQkOGDKHQ0FBas2YN7Y6KosDgYPLS1CRp/jVcpY+rSLxXUyMPT0+K\njY2ltWvXkp+fn9K+LDCmCA4ogZFlkESh6uzmy8/Ppzlz5tD06dMVqkeRuVBl0dfXp5iYGAoNDaXo\n6Ohi72loaNCOHTuoSZMm5O3trdC5Kwoooo/dfPv3Fx/G4OfnR61atSpzr6zS/PHHH+Tu7k47d+6k\nEydO0NKlSyk4OJju379PLVq0oPWbNlF9d3fy09EhbzU12ktEfx9SkUdEe4ioja4uddbTo5CffiIV\ndXWaO3cunTp1ii5evEgtW7YkFxcX2rZtG99NsepVnUMIWUnh4eHo37+/TGV2796Nzp07V1KLyhce\nHo5WrVopXM+dO3dgZ2enhBaVdPnyZRgZGeHSpUsl3pNIJFiwYAHq1Kkj9dJMf3fv3j2YmZlVuEBt\ncnIyatWqhby8vGKvv3r1Cubm5kXbh5TlxYsXGDZsGMzMzBAeHl7m+V6/fo3JkyejVq1aUFdXR1Mb\nG2irqsJKWxtW2trQVlWFt7MzIiMjixaHjYyMhIWFBWrXro2VK1cCAK5evQp7e3t88cUXSEtLk/bH\nwZhScUAJzL59+9CtWzeZyqSlpaFmzZpSbdOhTPn5+bCzs8OxY8cUruv169fQ1dVVQqtKFx0dDXNz\nczx8+LDU97du3QpjY2OcOXNGpnqXLVuGIUOGSHVs06ZNcerUqRKv//rrr6hfvz7evXtX4r2CggKs\nX78exsbGCA4OxuvXr6U6V2RkJMRiMQwNDTF58mTcunULSUlJZc5zmjFjBpydnWFlZYUVK1YA+DjP\nbtKkSTAxMcHu3bulOi9jysQBJTBHjx5F69atZS7XoEEDqRYbVabIyEh4eHgoZXsLiUQCLS2tSp10\nvHTpUjRu3LjMD/kjR47AyMgIe/fulbrODh06SD2xevr06ZgwYUKp7w0YMADjxo0r9trVq1fRvHlz\ntGzZEnFxcVK3CQC+/PJLLFu2DA8ePED//v1hamqK5cuXF+0v9U+FC+926dIFdevWLQopALhw4QJs\nbW3Rr18/vHz5UqZ2MKYIDiiBuXDhAtzd3WUuN2TIkKLumapQUFAAe3t7HDp0SGl12tjYFG1CWBkk\nEgnGjBmDtm3bIjc3t9Rjrly5AjMzM6xatarC+t6+fQsdHR1kZmZKdf5Lly6hYcOGpb734sULmJmZ\n4ezZs3j16hVGjRoFExMTbNiwQeY74zdv3kBfX7/YQrlxcXHw8/ND3bp1sXXr1hIrXgAfVwJp0aIF\nQkJCULduXSxfvrzovXfv3iEkJATm5ubYv3+/TO1hTF4cUAJz69Yt2Nvby1xu06ZN6Nu3byW0qHRR\nUVFwc3NT6uaAPj4+OH78uNLqK01+fj66dOmCIUOGlNn2xMRENGjQAJMnTy73+vbv34/PP/9c6nMX\nFBTA1NQU9+/fL/X93bt3w8TEBCYmJhgxYoTcdyubNm0qs5v41KlT8PDwgIODA3799dcS15eWlgYr\nKyuEhYWhXr16xUIKAGJjY1G3bl0MHjyYl0VilY4DSmCSkpJgZWUlc7kHDx7A3Ny80neTBT7eiTg5\nOeG3335Tar39+/dHeHi4UussTVZWFlxcXDBnzpwyj3n+/Dnc3NwwaNCgMu+2Ro4cidDQUJnOHRQU\nhLCwsBKv37hxA56enjAwMMCXX34pU53/5OvrW+42LBKJBL/99hscHBzQsmXLEs/Fbt68CbFYjD17\n9qBevXpYtmxZsfffvHmD4cOHo06dOjh69KhCbWWsPBxQAvP8+XMYGhrKXE4ikcDMzEzmvYTk8euv\nv8LZ2VnpYTh+/HjMnz9fqXWWJSUlBXXq1EFERESZx7x9+xZ+fn7o1KkTsrKyir0nkUjkGvm3b98+\ntG3btuj/MzMzERISArFYjLVr1yI1NRUmJia4cOGCbBf0P3/99RcMDQ3LfNb0d/n5+QgPD0fdunXR\nqVOnYs+5Dhw4ADMzM5w5c6bUkAKAw4cPw9LSEqNGjSrx82FMGTigBOb9+/dQV1eXq2yfPn2wefNm\nJbeoOIlEAldXV5kGEkhr6dKlGDt2rNLrLUvhnUJ5I/dyc3MxZMgQNGvWrNjuxbdv34aVlZXMIZ2V\nlQUdHR1kZGRg+/btMDc3R1BQULHnRTt37kTDhg3x4cMHma9p1qxZGDVqlExlsrOzsWLFCpiamqJf\nv35FXZBhYWFwcHDArVu3UK9evVLv/F6/fo2vvvoK1tbWOH36tMztZaw8HFACI5FIUKNGjRLzZaSx\nYsUKqbdykFdMTAwcHBwqZUj7zp074e/vr/R6y3PkyBGYmJjg3r17ZR4jkUgwdepU2NjY4MGDBwCA\nhQsXYuTIkXKd09PTE/b29nB2dsb58+dLPV/Pnj0xadIkmeqVSCRo0KABLl68KFe7srKyMGvWLBga\nGmLkyJFISUnBiBEj0KlTJyQmJsLa2rrUkAI+DuM3MzPDd999V+a2IIzJigNKgPT09OR6AH39+nXY\n2tpWQos+kkgkaN68OXbu3Fkp9Z89exYtWrSolLrL8/PPP8PGxgbp6enlHrdmzRqYmZnh8uXL8PX1\nlXk0W1ZWFiZMmAAdHR24u7uXOpKuUFpaGoyNjXH58mWp6z9//jzs7OwU7npNT0/Hd999BwMDA0yc\nOBE+Pj4ICQnBo0ePYG1tjaVLl5ZZrk+fPmjYsCH++OMPhdrAGMABJUhmZmZITk6WuVx+fj5q1qxZ\naTP/f//9dzRq1KjcD1ZFJCUloU6dOpVSd0W+//57eHp6Vtittm/fPhgYGEBTUxNv376Vqm6JRIJd\nu3bB0tISX331FS5dugSxWFzhz3H79u1wcHCQ6nkSAIwYMaLcgR+yevz4MYKCgmBoaAixWIywsLCi\nkFqyZEmZ5Xbs2AFjY2NMmTKlaLUKxuTBASVADRo0kHs+kJ+fn9QTR2UhkUjg5eWFbdu2Kb3uQtnZ\n2VBTU6vyFTGAj0PAe/fujYCAgArPP3v2bKipqWHLli0V1vvnn3+iXbt2cHBwKPaMxsHBocKBEBKJ\nBN26dcPUqVMrPM+HDx9gYGCg8K7EpYmPj0eHDh1Qo0YNhISE4MGDBxWGVGpqKrp27YomTZrg+vXr\nSm8T+2/ggBIgFxcXXLlyRa6y8+bNQ0hIiJJb9HH+S4MGDeR6NiYLIyOjYoMRqtL79+/RsmVLTJky\npdzjhgwZgh9++AFWVlaYN29eqV1qb9++xQ8//ABDQ0MsWbKkxFD1SZMmYfLkyRW26enTpxCLxbh2\n7Vq5x+3evVuuFUhksXbtWqiqqsLKygqrVq1C/fr1sXjx4jKPl0gk2Lx5M4yMjDB79uxK/7fD/n04\noATI29u71DXbpHH27Fk0bdpUyS0CPv/880ofIQgATZo0qfDDuDI9f/4c1tbW2LBhQ6nvSySSosm2\nycnJcHR0xOjRo4u66yQSCfbt2wcrKyv069cPKSkppdZz7tw5NGnSRKo2bdmyBU5OTuV2l3Xp0kWq\nOzpFbdq0CaampnBycoKDgwPMzMywaNGicss8fvwY7dq1g5ubG+Lj4yu9jezfgwNKgDp27IiYmBi5\nymZnZ0NbW1vq5XekUTgXpqwJq8rUqVMnHDhwoNLPU54///wTxsbGpU5CvXbtWrGBKBkZGfD19YW/\nvz/u3LkDPz8/NGzYsMIVMfLz82FkZCRVl5xEIoGfnx9mzpxZ6vvPnj2Dvr5+lc1FmjRpEry8vBAR\nEYF69epBU1MTwcHB5ZaRSCRYs2YNjIyMsGjRokp7jsn+XXg/KAGSddPCv1NXVydXV1e6cOGC0toz\na9Ysmjx5MqmqqiqtzrJUxr5QsrKzs6Ndu3ZR//796c6dO8Xe++feT/r6+rRv3z5KSEggJycncnd3\npxs3blDr1q3LPYeKigp16tSJYmJiKmyPSCSidevW0YoVK+jmzZsl3o+IiKBu3bqRjo6OlFeomDlz\n5pBYLKYjR47Q3bt3acaMGbR69WpydHSk+Pj4UsuIRCIaMWIE/fHHH/Tbb7+Rr68vJSYmVkl72aeL\nA0qAFAkoIuVuYHjx4kX6888/6auvvlJKfRVR5tbvivDx8aElS5ZQ586dKS0trej1mJiYYgEVExND\nrq6u1KhRIxo4cCDt3r2bnj17JtU5StvEsCyWlpY0f/58Gjx4MOXl5RV7b+vWrTRw4ECp6lGGGjVq\nUHh4ON28eZMWL15MEydOpISEBEpLSyN3d3caMmQIPX5c+sbz1tbWFBsbS/7+/tS8eXNavXo1SSSS\nKms7+8RU9y0cK2nMmDGlLi0jrcOHDytlE0Hg46jA1atXK6UuaaxduxZDhw6tsvNVZObMmWjWrBne\nvn2L9PR06OrqIjs7Gw8fPkT37t3RoEEDHD58GMDHbqzQ0FDUrl0bt27dqrDujIwM6OrqyjRcvX37\n9sWGkt+8eROWlpbV0mWWnJwMCwuLonX/njx5gnr16qFNmzYwMDDAN998U2yFjH9KSEiAu7s72rRp\nUymjD9mnj++gBEiebd//rmXLlnT16lXKyclRqB1Xr16lGzdu0JAhQxSqRxZCuYMqNG3aNLK3t6cB\nAwbQ4cOHqVWrVrRo0SJydXWlZs2a0a1bt6hDhw5E9LEba/z48TRv3jxq06YNnT59uty69fX1yc3N\njY4fPy5VW0QiEa1fv56WLl1a1PW4detWCgwMJBUVFcUuVA4WFhb066+/0vDhw+nq1atkaWlJp0+f\npkePHtHo0aMpNzeXGjVqRD/99BNlZWWVKN+wYUM6d+4ctWnThlxdXWnjxo28xTwrrroTkpU0a9Ys\nqYYgl6dp06Y4e/asQnV07969xHYLle3atWtwcnKq0nNWJCcnB59//jlq164NY2NjdOvWrcydeQsd\nPXoUYrG4wp1olyxZgmHDhsnUnrVr18LNzQ0fPnyAmZkZEhISZCqvbHv27IGFhUXR5PInT57AxsYG\nCxcuRGJiIgYMGAATExOEhYWVOen4xo0bcHZ2RufOnfH06dOqbD4TMA4oAVLGoqkhISGYN2+e3OWv\nX78OMzOzKl9XLS0tDUZGRlV6zoo8fvwYXbp0ARFhwIABUpe7du0azM3Ni+1O+0/37t2DmZmZTMsT\nSSQStG7dGkOGDJFrc8vKMG/ePLi4uBR1VyYnJ8PGxgYLFiwA8PHfU+fOnWFlZYXNmzeX2iWZk5OD\n6dOnw9jYGBEREVWydQwTNg4oAVq/fj2GDBmiUB1RUVHw8/OTu3yvXr3KnYRZWQoKCqCqqir18j6V\nKScnBwsWLIChoSGCgoJgY2MDU1NTmdbgS0pKgq2tLSZNmlTmB66trS2uXLmCjIwMJCYmIjExscK1\nGJOSkqCmpibVKhNVQSKRYODAgfjiiy+KVuL4Z0gBwOnTp+Hp6YnGjRsjOjq61J/J5cuX0ahRI/Tq\n1avcZ1js348DSoAiIyPRp08fhepIS0tDzZo15Xp4fuvWLZiYmEj98F7ZateuXWEXWmU7ceIEGjVq\nhE6dOuH+/fuYNm0aJk6ciIsXL8LIyAhXr16Vuq709HQ0b94cX331VYm5ZNnZ2fDz80MDExNoq6qi\nro4O6uroQFtVFV5OToiIiCh1gm5GRgY0NDTg6uoqmDlF2dnZ8Pb2xvfff1/0WnJyMho0aFBsny+J\nRIIDBw7A0dERLVq0wMmTJ0vU9eHDB0yYMAGmpqaVsrUL+zRwQAnQ/v370blzZ4XrsbW1lWsdtICA\ngCrbOLA0LVq0wLlz56rl3CkpKejXrx/q1KmDvXv3Fn3Dd3V1LfogjYqKgoWFBR4/fix1vW/fvkWX\nLl3Qvn17vHnzBgCwIzISJnp6+FxTE3uJkEcE/O9PLhH2EKGNjg5M9PSwIzKyWH3r16/HF198AR8f\nn2q50y1Leno6rK2tsWnTpqLXSgsp4ONk5W3btqFevXro2LFjqSuInD17FjY2Nvjyyy/x6tWrym4+\nExgOKAE6ceIEfHx8FK4nKCio3OcfpUlISIBYLC76EK0OPXv2xK5du6r0nLm5uViyZAkMDQ3xww8/\nFLt7TE1NRc2aNYvd/YSGhsLR0VGmFTvy8vIwdOhQuLq6YvaMGaitqYkrfwulsv5cIUJtLS0s+1sQ\neXt7Izo6Gvfv34ehoWG5+1lVtfj4eIjF4mLLdSUnJ8PW1rbU56I5OTlYuXIlTE1NERAQULRhYqG3\nb99izJgxsLS0xKFDhyq9/Uw4OKAE6NKlS3B1dVW4ns2bN8vcVRgYGIhZs2YpfG5FBAcHl7nnUGU4\nffo0HB0d0bZt21JXkd+0aRN69+5d7DWJRIIRI0agQ4cOMi0BJZFI4O/vD7FIhEdShFPhn0f/C6kd\nkZFITEyEWCwu6voLCwuDl5dXtawCX5bff/8dJiYmxcImJSUFDRo0KHPwTlZWFmbPng1DQ0OMGDGi\nxDqGx48fh5WVFYYOHarUpbyYcHFACVB8fDzs7OwUricxMVGmEWKF38bl2SxRmebPn48JEyZU+nnS\n0tLw1VdfwdLSEjt37izz59S7d+9iXVaF8vLy0KlTJ3z99ddS/4yzs7NhoqeHqzKE09/vpEz09DB1\n6tRia98VFBTA09NTocndlWHNmjWws7Mr1jWXkpICW1tbzJ07t8xyL168wPjx42FgYIBJkyYVK5+Z\nmYmhQ4eibt26OHHiRKW2n1U/DigBevz4MSwsLBSuRyKRwNzcvGib8ooMGTIEP/74o8LnVdTWrVvR\nv3//Sqs/Pz8fK1asgJGREcaPH19ud2Zubi5q1qyJ1NTUUt9/8+YNnJycio1UK09ERATa6OjIHE6F\nf1rr6JS60+7du3dhaGgo9d91VQkJCUHbtm2L3WVKE1LAx/lUQ4cOhZGREebPn493794VvRcTEwML\nCwsEBwcXe539u3BACdCrV69Qs2ZNpdTVt2/fUr/9/1NSUhIMDAwE8SD6+PHj8PX1rZS6L1y4ABcX\nF/j4+OD27dsVHn/y5MkKu1ufPHkCS0tLqZ6beTk5YY+c4QQiRBFBrK5e6h3bokWL4OvrK6iuvvz8\nfPj5+WH48OHF2pySkgI7OzupdgBOSEhAr169YG5ujjVr1hSF3cuXLzFgwAA0aNCg2gbVsMrFASVA\nOTk5+Oyzz5QyUXHlypVSzan6+uuvFV69QlkSEhLQoEEDpdaZnp6OoKAgmJmZYdu2bVL/bCdOnIhp\n06ZVeFxcXBzEYjHOnz9f5jEZGRnQVlUtNlpP1j+5RNCsUaPUbtj8/Hy0aNGiStdOlEZmZiYcHBwQ\nFhZW7PWnT59KHVLAx/lR7dq1g42NDSIjI4uCeM+ePTA1NcXEiRPx4cMHpbefVR8OKIFS1mTVGzdu\nVPhh//jxYxgYGCA9PV3h8ynDmzdvoK2trZSAzs/Px9q1ayEWixESEiLz8zVptmYvFBMTA1NT0zK7\n2RITE1FXge69wj91tLSQlJRU6jni4+NhaGhY7fPI/unhw4cwMzMrsddXYUjNnj1b6rqOHTsGNzc3\nODs749ChQ5BIJHj27Bl69uyJxo0by70bNRMeDiiBqlWrFl68eKFwPQUFBeU+QwGA0aNHV8mgBFno\n6uoqPFjj8uXLcHNzg4eHh1zzwR49egRDQ0OZJsKuWrUKdnZ2ePnyZYn3lBVQVtraZQYU8HHZobZt\n2wpuqaDz589DLBbj5s2bxV6XJ6QkEgn27NkDOzs7+Pj44Pz585BIJNi+fTuMjY0xffr0cncgZp8G\nDiiBql27Nv766y+l1NW5c+cyFy1NSUlBrVq1kJaWppRzKYuNjQ0OHz4s1bI///Ty5UuMGDECJiYm\n2LRpk9zPZNauXSvT2nuFvv32W/j4+JS4Ay7s4stVsItPQyTCpEmT8Ouvv+LRo0clgigvLw/NmjXD\nzz//LNd1V6aIiAhYWVmV+Pf29OlTNGzYUOYpDnl5ediwYQNq166N7t274/bt20hJSYGfnx9cXFxK\nhCH7tHBACVSjRo1w584dpdQ1f/58DB8+vNR13saNG4dvvvlGKedRVHZ2NiIiIuDl5AR1kQi1NTSk\nWvanUEFBATZs2AATExOMGjVK4QEf3bp1w/bt22UuV1BQgB49eiAwMLBEeChjkISjlRUmTZqEjh07\nwsTEBAYGBmjTpg2+++47bNu2DXfu3EFcXJzUW8pXtR9//BEtWrQosRCxvCEFfFwaafHixRCLxRg4\ncCAePnyIDRs2wMjICPPmzUNeXp7UdcmyJiKrXBxQAtWsWTP88ccfCtVR+IHvYmMDdZGoxDpvq1ev\nRs2aNQWxvUHhsj9tdXVlXvYH+DhIwcPDA+7u7kp5BpGdnQ09PT25u1nfvXsHd3f3EsP2FR5mrquL\nyH9c/9OnT3Hw4EHMmTMHvXv3ho2NDbS0tGBpaQlLS0usXr0aFy9eFMxwbIlEgoCAAAQEBJQI8NTU\nVDRo0ADjxo2TKyAyMjIwbdo0GBgYICQkBFeuXEHr1q3RvHnzUidhF/r7lyNZ1kRklYsDSqB8fX1x\n/PhxuctL84HvpaoKfTW1Uj/wq9KyxYvlXvYnIyMDwcHBMDY2xs8//6y0Ida///47PDw8FKojLS0N\n9erVw5YtW4peU8ZEXWk+KDMzMxEbGwtLS0t4eXnBxcUFmpqaaNSoEfr374+FCxfi6NGjSnnOKY/3\n79+jefPmmDFjBoB/BMRnn8FYJIK5mprcAZGWlobg4GAYGBhg+vTpWLRoEYyMjLB06dIS/0YU/XLE\nKg8HlEB16dIFv/76q1xlFfnAr2o7IiNRW1NTrmV/Ro0aBTMzMwwbNkzpIxDHjRsn00P7sty5cwfG\nxsaIjY0tek3ua9bUlPkD8vr16xCLxUhOTkZOTg7i4uKwadMmjB07Fq1atYKenh4sLS3RtWtXTJ8+\nHXv37sXDhw+rZIBFamoqrKysEDxmTKUFRFJSEgIDA2FsbIwffvgBLVu2hI+PT9Egk0/pd+W/iANK\noAICAhARESFzOUU+8Kv626GidxPaNWrgzJkzldK2Bg0alLq6tjyOHz8OY2NjxMfHF722bPFimKup\nSf3BaESEgF695Dr/jz/+iM6dO5caOgUFBXjw4AGioqIwZcoU+Pn5wdzcHDVr1oSvry+++eYbbN26\nFTdv3pRpzUFpff/ddzD63zVWZkDcvHkTXbt2Re3atdGnTx8YGRlhaFDQJ/O78l/FASVQQ4cOlXkU\nVlV1HymLMpb9+efzGGWQZ5fbimzevBn16tXDs2fPAADPnj2Dvp4ejLS10UZHB3tKuXOI+t81aolE\nmDJ5MiwtLbF161aZz52Tk4MmTZrIVPbZs2c4fPgw5s+fj759+8LOzg5aWlpo1qwZhg4dilWrVuH8\n+fMK7RlWHV+mzp49Cy8vL9SrVw/aItEn87vyX8UBJVAhISFYsmSJTGWE+oFfFmWMaPN2dlZ6u5Yt\nW6bwjsalmTZtGpo3b453797B398fEydORE5ODiIjI+Ht7AxtVVVYaWvDSlsbmioq0BOJMHToUDRv\n3hzAx0m4ZmZm2Llzp8znvnr1KoyNjRUaEJOVlYVz585h1apVRduGaGpqws7ODn379sX8+fNx5MiR\nohAuT3V+mZJIJJgwYQJa1Kjxyfyu/FdxQAnUlClT8NNPP8lURqgf+KVR1rI/2qqqSh8K3KFDB0RF\nRSm1TuDjB2P//v3h7u6Ohg0blliWJyMjA0lJSUhKSsKNGzegoaGBRo0aYe3atUXHXL9+HcbGxoiO\njpb5/FOmTEH37t2VemeYm5uLmzdvYsuWLfjmm2/g6+uLmjVrwtzcHJ07d8aUKVMQFRWFxMTEYuet\n7i9Tn9Lvyn+ZCACICc78+fPp9evXtGDBAqmOz8zMJAuxmDLy8ugzOc+ZR0S1VFUpJT2d9PX1pS4H\ngAoKCig3N5dyc3MpJyen6L9L+//c3Fx69OgRzQ4JoSc5OXK29qO62toUe+sW1atXT6F6Cr17945M\nTU0pOTlZpp+BtB4/fkw2NjbUt29fCg8PL/dYa2tr+uuvv+jFixdkYGBQ9PqVK1fIz8+PwsPDqUOH\nDlKfOycnh1xdXWnKlCnUr18/ua+hIgDo0aNHFBcXR9evX6e4uDiKi4ujrKwscnJyIhcXFzq6dy/N\nevKEesp5jj1EtMzZmU7Hxclctjp/V5hs5P37YZVMR0eHkpOTpT7+5cuXJFZXp8/y8uQ+pyoR6Ugk\n1LNnT/rss8+kDpucnByqUaMGqampFfujrq5e5v/n5eVRfn6+3G2tLLGxsdSsWbNK+dABQOPGjaNR\no0bRoUOHaN26dTR8+PAyj2/YsCGlpKRQfHw8eXl5Fb3erFkzio6Opu7du9OuXbvo888/l+r86urq\ntGnTJurSpQu1bt2aTExMFL6m0ohEIqpbty7VrVuXevToUfT6ixcv6Pr163T+/HlKSk6mbgqcoxsR\nDbxzhzIzM2X+u1LW74qRmhq9evWKA6oScUAJlLa2Nr19+7bKz6uiokJ9+/YlKysrqcNGTU2NVFRU\nZDpP4bfYvIICUpWzrXlE9CI3t9jdhaIOHjxIfn5+Sqvv7yIjI+nevXsUGRlJY8aMIW9vb7KysqKO\nHTuWenxycjJpaGjQ1q1biwUUEZGHhwft3r2bevfuTdHR0eTp6SlVG9zc3Gjw4ME0ZswY2r17t8LX\nJAsjIyNq27YtWVtb06bQUPpMgX/fqkSkR8QB8W9XrR2MrEy7du2Cv7+/1Mcra503NSLo6enBw8MD\nw4YNQ1hYGI4ePYqnT58qfW6MMp4D6NeoAR8fH8yfPx/Xr19XqI0SiQRWVlZKW2Lq754+fVpio8Fz\n585BLBaXupDtvXv3YGxsDLFYjJo1a5a5jcThw4chFotLbGBYng8fPqBhw4ZS7V9VGZS1aK5YJEJw\ncLDMf+fK+l2pjOefrLga1R2QrHQ6Ojoy3UHp6+uTS+PGtF+Bc/5GRM2dnenBgwc0Z84ccnJyort3\n7zM2/VsAACAASURBVNKsWbPI0dGRDA0NqVWrVjRy5EhauXIlxcbG0vPnz+U+36jvv6fVOjpyl1+t\nq0thGzbQxIkTKTk5mfz9/cnS0pKCgoJo9+7dlJGRIVN9CQkJRETUqFEjudtUGgA0YsQI+vrrr6lZ\ns2ZFr3t4eNDKlSupa9eulJKSUqzM1q1bqX///tSzZ08yMjKi/ftL/5vt0KED/fLLL9S5c2e6ceOG\nVO3R0NCgjRs30tixYyk9PV3+C5OToaEhpefkkPwdbB/vnt+rqNDRo0dpxowZBBkepSvrd6WpvT3f\nvVW26k5IVrrTp0/D09NTpjKVsc5bIYlEgtTUVBw7dgzLli3D119/DU9PT9SsWRNGRkbw9fXF6NGj\nsXr1apw6dUqqJXQqY6jxvXv3sHz5cnTq1Am6urrw8vLC7NmzcfXq1QqXQQoNDcXIkSOl/4FLKTw8\nHI6OjmUOi543bx6cnZ2Ltp4vKCiAlZUV4uLiEBMTA1tbW3Tt2rXcc+zatQumpqYy3f19++23CAgI\nkP5ClEhZo+iePXsGBwcHTJs2TaY7qcr8XWHKwwElUNeuXYOzjMNYq2NuiUQiQUpKCo4cOYIlS5Yg\nKCgILVq0gK6uLkxMTNCmTRuMHTsW69atw9mzZ/H69eti5Stzsub79+9x+PBhhISEwNbWFiYmJvjq\nq68QGRlZ6n5Nvr6+2L9/v0zXX5GUlBSIxWJcvXq1zGMkEgmGDh0KPz8/5OXlITY2Fo6OjpBIJPjw\n4QN0dXWhp6eH58+fl3uurVu3wsLCAvfv35eqbe/evUODBg2wb98+ma5JGbZt24ZW6upKCQh5QupT\nm9T+X8UBJVB3796FjY2NzOWEstSRRCLB48ePcejQIYSGhmLQoEFwc3ODtrY2zM3N0b59e3zzzTf4\n5Zdf8E1wsEzroRmJRJgpxTbs/5SYmIhVq1ahS5cu0NXVRcuWLTFz5kxcunQJr169go6OjkIrI5T2\nM+jcuTOmT59e4bG5ublo3749Ro0ahUGDBmHRokVF7/Xo0QMeHh5Yvnx5hfX8/PPPqFOnjtQ76p45\ncwZmZmalBnZluXHjBpo3bw4dFRWlBcTz58/h4OCAqVOnSh1SQvldYWXjgBKolJQUmJqaylVWyAtg\nFhQU4OHDhzhw4AAWLFiAwMBANG3aFGqqqtASieBOVPayP7q6MNHTQ79+/eDk5ITMzEy52/Hhwwcc\nPXoU3377LRo1agQ9PT2YmZlh27ZtSlt4dvPmzXBycpL6m3ZGRgYaN24MDQ2NYis+bNq0CV5eXmjW\nrJlU9SxfvhzW1tZITk6W6vixY8fiyy+/lOpYRWRlZWH8+PEQi8VYt24dIiIilBoQ8oRUry++gFgk\nEuTvCuOAEqzMzEzo6OjIXX5HZCSMdXXRvJwP/BYqKjDQ0BDEt8H8/HyEh4fDwMAAtqam0BCJYFyj\nBozo48hCCz09dO3aFRs3bsSVK1cQFBSEDh06KG0B0z59+qBPnz7o3r079PT04O7ujunTp+PChQsy\nbfleKDk5GWKxGHFxcTKVCwsLg7q6Ovbu3Vv02vPnz6GrqwszM7NiC86WZ8GCBbCzs5Nqp+S3b9/C\n2tpa6d2bfxcdHY06deogMDCw2FJIyv4y9fz5czg6OmLKlCkVhlRMTAzMzMywYvlymOjpoZW6epm/\nK+4iEYz4zqnKcUAJVH5+PkQikULDpidMmIA2bdoUW+fNTFUVmjVqwNvZGVOnToWtra1cH8CVITAw\nsGj9wcJlf06dOoVatWph7969mDVrFgICAuDo6AgNDQ1oaWmhTp06mDRpErZv347r16+XORy7PBKJ\nBKampkXPbnJycnDixAlMmDABjo6OMDQ0REBAALZs2SLVB75EIkGnTp0wc+ZMmdvSrl07zJkzB0ZG\nRsU2rPT09IS/vz9++OEHqeuaMWMGHBwcpLojjI2NhYWFRYlnhIr666+/0K1bN9jZ2eHEiROlHrMj\nMhIGmppoqaJS4d2zNAEhTUjdvHkTYrEY58+fB/Dx79zJyQkOVlbF1kTUVlWFt7MzxowZA1dX1yrZ\nhoT9Pw4oAdPU1JR7F9Tnz5/DwMCgaMvvwg/8SZP+j72zjqoqe/v4Y4DS3EQaREFESlTCQsTGQDGx\nc+wEe3SsEbGwe6wBR0dGR2UcE7ELBQtHxQZHlFbynu/7hy/3J946N1RG72ct1vKes/c++1xhf3c8\nMQ1jxowB8GEgbdSoEfbv36+xPqtKVlYWTExMJAZThmHA4XAkhKG4uBhXr16FnZ0dAgIC0L17d/H2\nmKOjI4KDgzFr1izExMTg1q1bcrfZEhMTUbt2bZn3nz9/js2bN6Nr164wMTFB/fr1MXPmTJw7d05q\nKvGtW7fC09NT6dXdixcvwOFw8P79exw8eBDm5ubis6SIiAj06NED1tbWrJMyMgyDqVOnwtPTk5Xw\njBo1CoMGDVKqz7IoLi7GkiVLwOPxMH/+fBQWFsrtp4uLC8LDw2FapQoMqlaVEIiYmBiljBLKRGrG\njBkSovLq1SvY2tri119/FV978+YNjI2NkZeXVy4mYpmfk0gkQv369b+a79j3ilagKjB8Pp9VZGhp\nhIWFYdSoURLXt23bhoEDB4o/x8bGomHDhl99ZrhmzRr06NFD6j1/f3/8/fffUu+9fPmy3GBTVFSE\nW7duYc+ePZg9eza6du0KJycnceDVkJAQzJkzB3v37sXdu3dRXFyMBQsWYPz48az6WVxcjDNnzmDa\ntGlwd3cHh8NB9+7dsW3bNqSlpeHZs2fg8/lISkpS+jtYvHgxhg4dKv4cFRUFZ2dnZGVl4d69e7C0\ntISHhwdOnTqF7OxsPHr0SGFadIZhMG7cOPj4+IjN2GWRl5cHOzs7xMXFKd33jzl37hzq1auH1q1b\ns7Io/Ouvv+Dq6orExEQ4OTlJFQhVyMjIkBCpgoIC+Pr6ShiubNmyRaFj/PHjx1GrVq3PkhdLi3S0\nAlWBsbOzw6NHj5Su9+rVK3C5XDx//lzi3sGDBxEUFCT+LBKJ4OTkpFZ6eXVhGAbu7u44fvy41Pvj\nx4/HkiVLZNa/desWBAIB4uPjZZYpLCxEUlISfv31V8yYMQOdO3dGrVq1xFuFzZs3x7x587B//36k\npKRIXRlJ4+XLl9i2bRu6d+8ODocDIyMjNG3aFGfOnFFqIGMYBnXr1pVIwDhu3DgEBASgqKgItWrV\nQrt27WDL4cBARwd2hoawMzRUmBadYRgMHz4czZo1U7giP3HiBKytrVUShjdv3mDo0KGwsLDAb7/9\nxnrSExAQgF27dmHFihUYMWKE0s+VR0ZGBtzc3DB9+nSIRCL06dMHPXv2lOhb69atWa2OWrdujbVr\n12q0j1pkoxWoCky9evVUmolPmjQJY8eOlXrv/Pnz8PHxKXdt27ZtaNWqlUp91ARXr16Fvb29zK2r\nbdu2oU+fPnLbOHHihETWWjY8f/4cBgYG2LZtG6ZOnYqgoCDY29tDT08P7u7u6NOnDxYuXIgDBw7g\n4cOHcrfXNmzYACcnJ0ybNg1eXl4wNTVF165dsXnzZqmThY+5evUqatasKTFwlpaWolOnTmjerBlM\ndHXRVEdHpbToIpEI/fv3R2BgoMJzuuHDh2PYsGFyy3wMwzDYvn07zMzMMHbsWKXE7dq1a7C2tkZx\ncTE6d+78WZxfy0SqadOmaNiwId6/fy9x39jYmJWLQWJiImrUqIG8vDyN91OLJFqBqsD4+Pjg/Pnz\nStVJS0sDl8vFy5cvpd5PSUmROG8pKiqClZUVrl27pnJf1WHEiBFYsGCBzPvXr1+Hi4uLwna2b98O\nOzs7pKens352dHQ0OnXqJHE9Pz8fV69exfbt2xEWFoZ27drBxsYG+vr6qF+/Pvr164fFixfj0KFD\nSE1NxePHj8Hn83Hr1i1xG69evcKOHTvQu3dv8Hg81KtXD2FhYTh16pTESmfs2LGYO3eu1D4uWbRI\nI6bQJSUl6NGjBzp06CD3PCcnJwc2NjYyV7Qfc/fuXTRv3hxeXl5KxQMso2fPnli+fDlEIhE4HI5a\nCRXlsWnTJujo6GDMmDESk4BNmzbJ3F6WRmhoqMz/Ky2aRStQFZjAwEAcO3ZMqTrjx4/HhAkTZN5/\n8+YNOByOxPXly5cjJCRE6T6qS35+PjgcjlyfnYKCAlSvXp2Vhd7cuXPh5eXF2uE2NDS0XEJAReTm\n5uLSpUvYunUrJk2ahDZt2sDS0hJVqlSBlZUVBg4ciMjISMTFxeHp06fiwbC0tBQXL17Ejz/+iEaN\nGsHY2BidO3fGhg0b8ODBA/D5fKnbuZp2Ji1bqXTr1k3uNubRo0dha2sr89zq3bt3mDFjBvh8Ptas\nWaOSJeijR4/A4/GQm5uLGzduwMnJSek22HDp0iXxFrC7uzumTZtWTqQCAwOVSlCZmpoKHo/HyqJT\ni3poBaoC07lz53L+MIp4+fIluFyu3BVEaWkpqlSpIjE45eXlgc/n4/79+yr3VxW2bdtW7kxMFvXq\n1ZMbLqgMhmEwcOBAdOzYUeGgWVpaCh6PJ7Z0VJUNGzbA09MTZ86cwaZNmzB+/HgEBgbC3NwcRkZG\n8PHxwZAhQ7B8+XL8/fffePHiBf7991/s3r0bffv2hYmJCfT09DBp0iQcP35cbPH2ucLxFBYWom3b\ntujTp4/c72jw4MFSYxMeOXIE9vb26NWrl1ornjFjxojN5j/H+RMAPH36FBYWFmIfrzdv3sDd3R1T\np04FwzD4999/YWJiorS17IQJE8TWsFo+H1qBqsCEhoZi586drMuPGTMGkydPVliOx+NJjes2Z86c\nclZkXwI/Pz8cPHhQYbnQ0FBs27aNVZtFRUVo2bIlRo8eLfeg/uLFi6hXrx7rvkqjbGtPVpDWt2/f\nIiEhAevXr8eYMWPQokULCIVCmJqaonHjxhg+fDjc3NzQu3dvhIWFieMYBgUFYdCgQWhhYKC0OJX9\nyEuL/v79e7Ro0QKDBw+Wea6WlZUFKysrsf/SixcvEBISAgcHBxw9elSt7y0jI6Pcll6XLl0QHR2t\nVpufkpubCzc3Nyz7ZLvzY5Fat26dSgFzMzIywOPxWMc91KIaWoGqwIwYMQLr1q1jVfb58+fgcrms\nzNKdnJxw7949ietlgwbbEDnqcvv2bZibm7OymFuyZAlrU3Dgg99XvXr1ysW0+5TZs2cjPDycdZuf\nIhKJEBAQgIiICKXrvn79GqdPn0ZERAR0dXXh5+cHHo8HLpcLHx8fBAYGwkxPTyMRv2WRl5eHxo0b\nY9SoUTKF/PDhw7C3t0dERAR4PB5mz54tYWSgCnPnzhVPhkQikdxzU1UoLS1FUFAQhg0bJvXd3rx5\nAw8PD9jY2KjsB7hgwQL07NlT3a5qkYNWoCowkydPRmRkJKuyI0eOZD3Y+vn5SZgzlzF+/HhMmTKF\ndR/VYeLEiZgxYwarsn///Tf8/f2Vav/Zs2ewtLTEvn37pN738vKSa5quiHXr1sHb21utSBxr164V\nz+AZhsGrV69w8uRJLF68GNUrVy5nrafsD5uketnZ2WjQoAEmT54sdSC/fPkyuFwurKyspE5qVOHd\nu3cQCoVISUkBANy8eROOjo4aabuMSZMmISAgQK6p/507d1ClShVMmjRJJT/A/Px8WFhY4MqVK+p0\nVYsctAJVgZkzZw7mzJmjsNzTp0/B5XJZBznt1KmTzBQLT58+BYfDQWZmpjJdVZrCwkLw+Xw8fPiQ\nVflXr16Bw+EoPZAkJiaCz+dLWEOmp6fD1NRUZafL1NRU8Pl8tQftRo0a4a+//pK4rqmss7YGBkhN\nTZXbh7dv38Ld3R2zP4oQn5WVhVGjRqFGjRrYsGEDzM3NkZCQoNa7lrF27Vp07txZ/HnlypUYPny4\nRtoGPljlOTo6KvwdXrt2LUJCQuDp6YmwsDCVRGrjxo1o0aLFV3d0/1bRZtStwBgYGLDKqrtw4UIa\nMWIE8fl8Vu3yeDx6+/at1Hs2NjbUqVMnWrdunVJ9VZYDBw6Qm5sbOTg4sCpvZmZGurq69Pz5c6We\n4+npSTt37qSuXbvSgwcPxNePHj1KgYGBpKOjo1R7REQMw9DgwYNp6tSpVKdOHaXrl5GSkkLPnz+n\nwMBAldvQBFwul44fP06///47LVq0iGJiYqhu3brEMAzdvXuXRowYQevXr6fBgwfT+/fv1XqWSCSi\nZcuWUXh4uPhafHw8+fv7q/kWHzh16hTNnj2bDh8+TBwOR27ZvXv3Ur9+/ejEiRN04sQJCg8PJwBK\nPW/w4MGUlpZGf//9tzrd1iKLr62QWmSzbt06hZZNqamp4HK5rDLYlhEWFobFixfLvH/nzh0IhUKV\n4wCyITAwUGmnzNatW+PPP/9U6XkbN25ErVq1xKvMsvBEqrB69Wr4+vqqHWR3+vTpMrdTs7OzYaCj\ng2I1t/iqV66MgwcPsopjd+7cOejp6cHCwgIXL16UuN+7d29MnDhRrXfeu3cv/Pz8xJ81ef50//59\nCIVCnD59WmHZtLQ0mJqail0X3r59C09PT0yZMkXp1VBsbCzc3NxYx0jUwh6tQFVgdu7cidDQULll\nhgwZglmzZinV7uLFixEWFia3TOfOnbF69Wql2mXLo0ePwOfzlY48Hh4ejvnz56v83GnTpsHX1xc5\nOTkwNTVVyqG3jIcPH2rEHF8kEsHKygrJyckyy2giLXrtGjXg7e0NExMTdOnSBZs2bZKIalFQUIA5\nc+aIjSBsbW2xfv16if5kZGTA3NxcaefxMhiGQYMGDXDgwAHxtZs3b8oN1MuWN2/eoFatWtiyZQur\n8qtWrUK/fv3KXSsTKVnncbJgGAa+vr5KWdxqYYdWoCowsbGx6NKli8z7Dx8+BI/HU/q8aMuWLQqj\nVl+8eBG2trafJTDmzJkz5ToTy+LXX39Vy5lYJBKhV69eaNasGby8vFSq36xZM3FKEHU4ceIEPD09\n5ZaJjo5GSzXOoXyrVhXHjXv9+jV27dqF3r17g8vlws3NDdOmTcOyZcvg4OCArl274tmzZwA+TCCs\nra3xyy+/SPTp999/h5OTk0qWfKdPn4aTk1O5lUZUVJRSYZWkUVRUBH9/f6WMe5o0aSI1/9Xbt29R\nv359pUXq7NmzsLW1VSndixbZaAWqAvP3338jMDBQ5v2BAweyMqL4lAMHDqBjx44Ky/n7+2PXrl1K\nty+PkpISWFhY4Pbt20rXvX37ttqz7cLCQlhZWUnEI2RDVFQUGjdurJH8Wf3798eKFSvkllHXUde0\nWjVwuVz8/PPP5dJdlJaW4s8//4SLiwt0dXVhaGiIHj164JdffhGvKlNSUmBhYSF1G7Z79+4qmee3\na9cOmzdvLnctODi4XNoLZWEYBoMHD0anTp1Y/7+UpTWRlQKkTKSUte7r1KmTRiYvWv6HVqAqMNIC\nu5bxzz//gM/nq5Rg7uzZs+XOAWRx9OhRuLi4aHRv/c8//4Svr69KdUtKSqCnp8c6jJEsnJ2dYWNj\ngzVr1rCu888//4DH4+Gff/5R69nAB/8jExMTVj5r6oY6evjwITp27IjatWvjyJEjKC0txdq1a8Hn\n8zFt2jTk5+cjLS0N27ZtQ0hICExNTeHl5YXZs2dj9+7dEAqFEtFM/v33X5iZmeHSpUus3zk5ORnm\n5ublVhhl50/q+N1FRkbC3d1dqeCtK1euLJdyRhqqiNTt27chEAg0nvTxe0YrUBWYpKQkmZEO+vXr\np/J5zL1791j5nTAMAw8PD42mAu/UqRO2bt2qcv369etLPcBny9OnT8VCY25uzsroorS0FI0bN8bK\nlStVfu7H7Nixg1V4pzI0kRY9Li4O1tbWMDU1RYMGDWSuYIuLixEfH4/w8HDUq1cPpqamqFatGsLC\nwsoZ4uzZswd169aVm4jwY/r3749FixaVu5aUlKTWivjgwYOwtLQUb02yxc/Pj1XOq8zMTNSvXx8T\nJ05kLVKDBw9WKuuxFvloBaoC8+jRI9jZ2UlcT0lJgUAgQE5Ojkrtvn79Gjwej1XZPXv2oHHjxio9\n51NevnwJDoejVqqCQYMGKRXc9VM2bNggNjy5fPky+Hy+wijcy5cvR9OmTTW2kgwICJDpPCyLPTEx\nMDM2RktDQ5lp0Zvp6cGgcmXs3r27XN2cnByMHz8eQqEQISEh4HK5mDFjBquV6LNnzzB16lTo6upC\nX18fvr6+mD9/Pq5du4YuXbqwcrR+9uyZVN86dc6fbty4AYFAoLST7LNnz8Dlclln583MzISXlxdr\nkSqL6PKlorF862gFqgLz4MEDcLlciaypffr0kZiNKkNJSQmqVKnCas++pKQEDg4OMiNPKMPChQvV\ndshcuXIlfvjhB5Xrd+rUqdyZx4EDB2BhYSFOrf4pKSkp4PF4rB2KFVHmVK3KYXpRURFiYmLQ1MMD\nBjo6sDUwgFmVKtCrUkWcFj0gIEBsgccwDPbt2wdLS0sMHjxYbGL/4sUL9OnTB9bW1tizZw+rgffM\nmTPg8XhYvnw5Jk6cCCcnJwgEAlSvXh2LFy+Wu601efJkqebpwcHBEmLKhrS0NFhbW6uUfn358uUY\nPHiwUnXKRGrChAmsvqupU6d+8ZiW3ypagapgFBYWIjo6Gk3c3WGgowM+UbmsqUuWLIFAIFCYvlsR\nyvhObdiwAR06dFDreSKRCPb29mqHhTl9+rTKZ1iFhYUwMjKSeO9Vq1ahTp06EjP80tJS+Pr6atTc\nfuHChWoJbBlladGXLVuG9u3bi69fu3YN5ubmuHXrFtq1awcXFxeZESASEhLg7u4Of39/uebuZRw7\ndgwCgQCXL18G8MGKtH///jA0NIShoSGaNWuGxYsXIzk5WTyQZ2VlgcvlSkSMF4lE4PF4ChM5fsq7\nd+/QsGFDufnD5OHt7a1SoNvMzEw0aNCAlUhlZWVBIBDIDCCshT1agapAlG3jBBoZycya6le1KjjV\nqknN9aMMtWvXFsdCU0RBQQFq1KihUnbfMk6cOAF3d3e1Q8JkZmbC0NBQpe22Y8eOyRS3iRMnonnz\n5uXOVCIjI+Hv76+xrT2GYeDk5IQLFy5opD3gw2G+sbGx2Oy7qKgIrq6u0NPTw+LFixVuZZWWlmLd\nunUQCAQYM2aMQpeFQ4cOQSgUIjExEcCHd+rYsSOmT5+OuLg4jBkzBvb29rCyssLw4cPRr18/qdHC\nk5OTUatWLaXeVSQSISQkBH379lXp9+jx48fg8Xgqu06UidT48eMVPn/p0qXlwjlpUQ2tQFUQNHEQ\nrgy+vr44d+4c6/KLFy9WmHZdHj179tTYSsTGxkalNAcTJkyQaVgiEonQtWtX9OnTByKRCPfu3QOf\nz1cYx04ZLl26hNq1a2s8bpu/vz8OHTqE+Ph4ODs7w9/fHxwOh3VsRuCDo+sPP/wAMzMzbNq0Se72\n7++//44aNWqIDS1evnwJgUCAGzduAPggWikpKViyZIn47Kply5ZYtmwZ7t27B4ZhsGrVKqW3wWbN\nmgU/Pz+VfY0iIyPV3nrLyspiJVIFBQWwsbFR6m9MiyRagaoAaDprKhuCgoJY5WEqIzs7W3wepiwZ\nGRkwMTHRWADajh07KpUBtQxHR0fxzF8a79+/h4+PD6ZNmwZvb2/WqU7YMmrUKLUiYchi3rx5qF27\nNqysrBAbGwuGYTBy5EiVwhIlJiaicePG8PLykmst+euvv8LCwkIcUeOXX36Bh4dHudXJ1q1b0bZt\nW+Tl5eHAgQMYPnw4rKysYG9vj5o1a2LKlCmsw2nt2rUL9vb2rEzzZdGwYUNWaewVwVakduzYAT8/\nP20gWTXQCtRX5nNlTVXEwIEDlTb3nj59OkaNGqX0s1asWIG+ffsqXU8Ws2bNKhd5mw0PHjyAubm5\nwsGizMLx04gH6lJYWAgej4cnT55orE2RSITNmzeDx+NBX1+/nCFNeno6uFyuSs9jGAa7du2ChYUF\nBgwYIDMk1NatW2FtbY3U1FQwDIN27dph3rx54r7VqVMHJ0+elGg7KSkJ+vr64uSM7dq1w+rVq2Ua\nopw7dw4CgUAl5+4yUlNTIRAIWOUeY0NWVhYaNmyIcePGyfydKi0thZubW7nQTlqUQytQXxl1w9nI\ny5oqj8mTJ2PJkiVK1SlLefHq1SvWdRiGQd26ddXKu/Qp+/btQ6dOnZSqExUVxcp6686dO+BwOODz\n+VLTYKjK/v37lc5nJY/k5GT4+fnB29sbN27cQN26dSUcZ2fNmoX+/fur/Izc3FyEhYWBz+dj2bJl\nUs9u1qxZA3t7ezx79gzPnz8Hn89HcnIyDh48CC8vL6mDd3JyMhwcHAB8GOj37duHQYMGoUaNGnB0\ndMSECRNw7NgxFBYWIjU1FTVq1FD7/yIiIkLjKeXZiFRcXBzq1KmjMWH83tAK1FdGEwFB5WVNlcXP\nP/+sUriakSNHsk4yCAAXLlzQ+LnLP//8A1tbW6XqtGnTRuG2YElJCRo2bIgNGzaIZ+1l5yrq0qlT\nJ6mx7ZQlPz8fYWFhEAgE2LBhg3iVN23aNIn/l5ycHAiFQlYWevJISUlBmzZt4OzsLHWLbOnSpahd\nuzbS0tKwefNmeHl5oXHjxtizZ4+4THZ2Nh49eoRHjx4hIiICQ4YMkWhHJBIhMTERCxYsgJ+fH4yN\njWFoaIiePXtKWAEqi5eXl8RqThNkZWWhUaNGGDt2rNTfcYZh4O/vLxHiSQs7tAL1FSlLqfC5s6ZK\nY/PmzVIHCUU8evQIPB6PtZPwoEGDVEqJLg+RSARDQ0PWZ1r5+fkwNDRU+B0tWrQIgYGB4oFm7969\nsLKyUjpSwae8fv0aJiYmarsGHDx4EDY2NujXr5/EKvbChQtSo46sWLFCqagVsmAYBgcPHkTNmjXR\ntWtXCb+x+fPno27duvj333/RsGFDcDgc5Ofnl3OZsDM0hJ2hIapXqgQXGxtER0fL3J4uKSlBQEAA\nWrVqhb59+4LP56NevXoIDw9HfHy8UpZ4Dx48gFAo/GyrGEUideXKFVhaWn7W9DXfKlqB+op8U7A5\nlQAAIABJREFUyaypnxIbG6uyGWzv3r1ZbQ/m5OTAxMREqS1Btvj4+LDeNjx06JDC7bVbt26Bz+dL\nzNSXLFkCV1dXpScAHxMVFaXWGdzTp0/RuXNnODo6ylwFlJaWQigUShixFBYWwtbWVmPZcAsKCjB/\n/nzweDzMnTu3XFTzGTNmwMPDAwEBAaimqwuBoaFcl4mWhoYwMzaWaugzduxYtG7dWiwqpaWluHTp\nEn788Uc0aNAAJiYm6NatG7Zu3Yq0tDS5fV60aBFGjhypkfeXRXZ2Nho1aoQxY8ZIFanu3bur5Vz/\nvaIVqK/I1xSohIQElUMY3bx5UyLwpzQ2btyIrl27qvQMRYwYMQJRUVGsyo4cOVKuoBYXF8PLy0vq\nNkyZRVyrVq1U9p/x8vLCsWPHlK5XXFyMJUuWgMfjYd68eQrj3g0ePFhqvMCdO3fC19dXo9usT58+\nRffu3WFnZye2HGQYBgMGDIBOpUow19FR2WVizZo1cHZ2ljspePXqFbZv346ePXuCw+HA09MTM2fO\nxPnz5yVM5D08PFglMVQXeSJVFmxYGdN/LVqB+qpoKmuqLhG4XC7q16+PLl26YNy4cVi6dCn27t2L\nS5cuIS0tTcIi7c6dO6hTp47KfW/Xrh02bdokt0yDBg1YBeVUhfXr17MyemAYBra2tnItwBYsWIA2\nbdrIHMBLSkrQoUMHDBo0SOlB/vbt27C0tFQ6Rcf58+fh6uqK1q1bs/b5OnDgAAICAiSul5aWwtXV\nFX/88YdSfWDDyZMn4eLigsDAQNy9exctWrSAoFIllV0mjh49CjMzM6XcGUpKSnD27FlMnz4d7u7u\n4HK56N27N3bt2oWLFy+iRo0aGkmRwobs7Gx4e3tj9OjREr8ro0aNUjsj8feGVqC+MpowknCxsUFK\nSgquXLmC33//HcuXL8eECRPQrVs3NGzYEGZmZtDV1UXNmjXh7++P/v37Y+LEiTA0NMRff/2FO3fu\nKB3A9cyZM6hVq5bMP/wbN27A2tr6sw0MFy5cYJV08M6dO7CxsZEpLElJSeDz+QrPmfLy8lC/fn2x\nGTVbwsPDMXXqVNbl3759i2HDhsHCwoJ1nLwy3r17ByMjI6lnc4cPH4azs/NnOYcpLi7GypUrweFw\noEekssuEwNAQfD5f7biPL168wObNmxEcHIzq1avDzMwMc+fOxZUrV75IWnZZIvXq1StwuVyZcR+1\nSKIVqK+MumbmTatXh5eXF4yMjNCyZUusXr1aanyzgoICPHjwACdPnsQvv/yCH3/8EZUqVUJgYCCc\nnJygp6cHDocDd3d3dOzYEaNHj0ZERARiYmJw/vx5PH/+vJzYlKW5/u2336S+1+jRo1VKpsiWvLw8\n6OnpKRxwIyMjZca+Ky4uhqenJ2t/sLS0NNja2spM7f2xpVp2djZKS0thYWHBKiYbwzDYsWMHzMzM\nMHbsWJXPvDp27Ijo6Gip7Tdr1kytVCeKaNu2LXwqVVL5d9m7UiWNnxXVq1cPK1euxJQpU1C3bl0I\nhUL0798fe/bs0ZjjuDSys7Ph4+ODUaNGlROpOXPmaNQn8FtHK1BfGU056ubn5yM2Nhb9+/cHl8tF\ngwYNsGDBAty5c0fmLNzU1BRv374F8GEAy8jIwPXr1/HHH38gKioKkydPRvfu3eHt7Q1zc3Po6OjA\n1tYWTZs2RWhoKEJCQmBtbY3Dhw/j1q1bYsu+9+/fSw0Qqmlq1aqlcPBv0aKFzJxPP/30E9q1a6fU\nKqUsKV2ZscKnwX3LLNUMdHTgXrMm7O3tFTpS3717F82bN4eXl5fC1B+K2Lx5M3r27Cn13sWLF2Fl\nZaVSunZF5OXlgVOlyldxmZDFvXv3YGFhUW7V9PjxY6xbtw5BQUEwMjJCkyZNsGjRIty4cUPjER+k\niVRubi5q1KihMfeFbx2tQFUANB3qqLi4GKdOncLYsWNhbW2N2rVrIywsDOfPny/3x1qrVi2lMsQW\nFRUhNTUV8fHx2LlzJ+bNmwcOh4MGDRqgbt26MDAwgImJCSwtLSEQCPDDDz9g0aJF2L17NxISEvDk\nyROVDQ2k0a1bN6mrhTJycnJgZGQkNe9RWT4hVfL2nDp1CgKBAJGRkQqD+zatVk2mpdq7d+8wY8YM\n8Pl8rF69WiPboenp6TA1NZUpisHBwUo7aLNh0aJFqF6p0ldxmZDFTz/9hHHjxsm8X1BQgKNHj2L8\n+PGoXbs2LCwsMGTIEOzfv1/lXGufkpOTAx8fH4wcOVIsUmvWrEGbNm3EZT5deWv5H1qBqiAoGyyW\nT4SRLJK9MQyD69evY/bs2ahXrx5q1KiB4cOHIy4uDo0aNVI7svbOnTvRokUL8bPKcudMmzYNa9as\nQXh4OHr16gU/Pz9YWVlBR0cHVlZW8PPzQ69evRAeHo41a9bgzz//xM2bN5GZmcl6Jjtv3jy5zsa/\n//57uYGgjKKiIri7u2P79u2qvTSAfr17g1+pksqWanFxcbC3t0fPnj3x8uVLlfshDW9vb5kx5+7e\nvQs+n6/R7a3i4mJYWFjARk9PZXEq+1HFIlUWLi4uSgVr/eeffxAVFYU2bdrAyMgILVq0QGRkpNxd\nCDZ8LFIikQhFRUWoWbMmZsyYIXXl3cTdXa6P2PeEVqAqEGyypjaqVAlmxsb4ae5cCAQCpaMlP3jw\nAEuXLkWTJk1QtWpVNGnSBDExMSrP3IqLi2FjYyMOs3P//n2YmZnJ/OMqLi7GkydPkJCQgN27d4t9\nVDp06ABXV1eYmJjA0NAQdevWRdu2bTF8+HAsWLAAO3bswOnTp/Ho0SNx2wcPHpQqQGUMHjxYqin6\nnDlzEBQUpPKgo86Kd93atQgJCYGDg4NKeYnYsHDhQowdO1bm/SFDhihluPExIpEIb968wb1795CQ\nkID9+/dj0KBBsLS0hLmOToURqDLrSVWNIvLz83Ho0CGMHDkStra2sLW1xciRI3Ho0CFWmYg/JScn\nB76+vhg5ciSio6PB1dODb+XKKvmIfU9UAgDSUmEoLi6m2NhYWhcRQYl37hBfV5eIiN4UF1N9Fxcq\n1NGhHj160JQpU+jYsWPUr18/Onr0KHl6eir9rB49epCBgQFlZGRQQkIC+fn5UXBwMHXq1InMzc1Z\nt7N69Wo6ffo0xcbGUnh4OBERLVmyROn+lJGTk0PPnz+nZ8+eSf1JS0sjPp9PZmZmlJKSQqNHjyYb\nG5tyP1wulywtLens2bNUq1Ytcds3btygNm3a0M2bN8nCwkLpvhUVFZGtUEhxublUX8m614moWaVK\nNGH6dJo1axbp6ekp/Xw23L59m4KCgujx48dUqVIlifsvXrwgd3d3Sk5OJnNzc8rKyqLXr19TRkYG\nZWRklPv3p5/fvn1LhoaGJBAIxD9nz56l5s2b09E//6QckYh0VOx3CRFxdHToZUYGmZiYqPUdzJ07\nl3Jzc2n58uVqtUNEBIBSUlIoLi6O4uLi6MqVK+Tn50ft27en9u3bU+3atVm1k5ubS/Xd3Cj/xQs6\nIhKRl4Ly14koWF+fpsyfT+MmTVL7Pf6LaAWqApOTk0OZmZlERMTlcsnExIRu3rxJ7du3p0ePHpGe\nnh7FxsbS6NGj6fTp01SnTh2l2p88eTKZm5vTlClTKC8vj44ePUoHDhyguLg4qlOnDgUHB1OXLl3I\n0dFRbjvv378ne3t7OnbsGLVu3ZrOnj2rsI46iEQiSk9Pp6dPn1KbNm1o0qRJlJmZWU7E3r9/TwzD\nkL+/v1i0LCwsaNGiRTR69GgaPXo0Va9eXelnx8TE0Nbhw+lEfr5KfW+hr08jtm6lXr16qVRfEQzD\n0Nu3b6l+/fr0008/kbGxsVTRSU5Opnfv3lFpaSkZGRmVExyhUCj13wKBgPh8Pun+/6SJiOjYsWM0\nefJkSk5OpmaenjQxKYm6qtj3/UQU5eFBCTduqPUdACAXFxfatm0b+fj4qNWWNHJzc+nkyZNiwdLX\n1xeLVfPmzWX+Xv22Zw+FDR5M5woKyIbls54RURN9fYrcupV6fqbfmYqMVqD+gwQHB5O/vz+NHz+e\niIh27NhBs2fPpoSEBLKzs2PdzqJFiygvL49+/vnncteLi4spPj6eDhw4QAcOHCBTU1Pq0qULBQcH\nk5eXF1WuXFmirfnz59OpU6eIYRg6c+aMWu+nDP7+/jRz5kxq1apVuetz5syhx48fU2hoqFi0Dh48\nSGlpaWRiYkIvXrwgU1NTiZXXxz9CoVBiBdLUw+OLDsIikYgyMzMVrmzKPmdmZpKxsTEBIGNjY/Ly\n8pIqNNWrV6fOnTtTfHw8ubq6qvg2RIGBgdS/f3/q37+/2uLd0siIhm3apLZ43759mzp06EBPnjyR\nuoLUJAAoOTlZLFZJSUnUvHlzat++PbVr107896juyruDsTE9y8goNzn4HtAK1H+QGzduUFBQED18\n+FC8TbRmzRpauXIlnT17lvX23KZNm+jq1au0efNmmWUYhqFr167RH3/8QQcOHKC8vDzq3LkzdenS\nhfz9/UlH58OGTmZmJpmZmVFkZCRNmDBB/Zdkyfjx48na2pqmTJlS7nrjxo1pzpw51Lp1ayIiun79\nOrVv356SkpKoRo0axDAM/fvvvzK3EZ89e0Z5eXlkbW1dTrBWL1tGuSIRVVWxvyVExKlalU6cPUuF\nhYVyRef169eUlZVFJiYmrFY3QqGQeDwe6ejo0KlTp2jatGl05coVmX1ZsmQJXb58mfbv36/SuyQm\nJlLnzp3p0aNHpKurW2EG4dmzZ1NBQQEtXbpUrXZUISsri44fP05xcXH0119/EY/Ho/bt21P16tXp\nUlSU6uJtaEjDNm/+bCvvCsvXOfrSoi6dO3eWMABYsGAB6tWrJ/ZtUsT+/fsRHBys1HPv3buHn3/+\nGd7e3uBwOAgNDcW+fftw9+5dVK9eHWPGjFGqPXXZunWrhOPjmzdvYGRkJI4VWFhYCBcXF/z6669K\ntf3u3TukpKTg2LFj2LJlC8aNGwfzqlXVNgTgE6FmzZpo2rQpunbtih9++AGzZ8/GqlWrEBMTg5Mn\nTyI5ORnp6ekqm+UXFxeDw+HItRB8//49rKys5GbOlUevXr2wdOnScte+Rnboj2EYBo6Ojrh8+bLa\nbamLSCTC1atX8dNPP8FMT69C+Yj9V9AK1H+U69evw8LColzAVoZhEBYWhkaNGrFK7RAfH4+mTZuq\n3IeXL19i/fr1aNOmDXR1dWFlZQV9fX3cu3dP5TaV5dq1a3B1dS13LTo6Gh07dhR/nj59OoKDg9V2\nxPyawX1VoU+fPti4caPcMlu2bEGzZs2U/m5SU1Nlpl2JWrZMrWCx6nDz5k3Y2tpWqDTrXzOtzn8d\nrUD9h+nYsSNWrVpV7hrDMBgxYgT8/f0VRgy4ffs2nJ2d1e5HaWkpLC0t8fPPP8Pe3h7VqlVD06ZN\nsWzZMqWCfqpCQUEBqlWrhrt374odHfv27Yv169cD+JCLx8zMTCMpPzQV3PdLDTR79uxB+/bt5ZYp\nKSlBnTp1cOTIEaXaHjt2rExT9Xv37sHI0BACQ0O5LhMBRkYaN6WeMWMGwsLCNNaeJvivTWwqElqB\n+g9z7do1WFpaSqS9KC0tRZ8+fRAUFCR3iyg9PR1CoVDtfsTFxaFBgwYAPmRf5fP52L9/P4YNGwah\nUAhXV1f8+OOPSExM1NjM9uMQQ9WIYKOnJ3Z0NK1SBatWrUJOTg6cnZ3LZXZVl6+VAVkVsrOzYWRk\npDAQcGxsLNzc3Fj7DL1580bm9mFRURHq16+P9evXo6ioCCtWrACnalXoV6kCG319CCpVgoGODpp6\neCAmJkajzqgMw6BWrVq4du2axtrUBFqBUh2tQP3HCQoKwurVqyWuFxcXo2PHjujVq5fMEDrFxcWo\nWrWq2qLRtWvXcltJ3bp1E+clKi0txblz5zBlyhQ4ODjA1tYW48ePx+nTp1WOrF3m0KwoGZ6Jri4a\nNWqk0e0edYP7BhgZIeYLOl8GBgYiNjZWbhmGYeDj44Ndu3axanPevHkyU52Eh4ejY8eO4qgiTk5O\nWL9+PbKzs3Hz5k0YGBh8ttVjYmIiatasWaG294D/X3lXrfqfWXlXJLQC9R/n6tWrUldRwIftrxYt\nWmDYsGEy/2iNjY2RlZWl8vNfvXoFExOTcmcRV65cgbW1tcTsmGEY3L59G/Pnz4eXlxd4PB4GDBiA\nAwcOsE6HrWxIKCs9PY2dbwDqB/fl6et/0RA2q1atwsCBAxWWO3PmDOzs7BQmRXz//j2EQiHu3r0r\nce/kyZMwNzfH69evUVxcjJYtW2LChAni+wzDQFdXV2GiS1WZNm0apk2b9lnaVpaSkhKcOXMGU6ZM\ngZOTE7hVq/5nVt4VCa1AfQN06NABa9askXovNzcX3t7emDx5slSRqlmzJuuEeNKIiIjAoEGDJK63\nbNlSYay7p0+fYtWqVQgICICxsTG6dOmC7du3482bN1LLf20LMXX7YVGtGjimppg0aZJCIdAUjx8/\nBp/PZxWItkOHDlIz8n7M+vXr0alTJ4nrb9++hZWVFY4ePQqGYTB8+HB06NBB4rmWlpYKc2+pAsMw\nsLe3R2JiosbbZkt2djZ+++039O3bFzweDx4eHvjxxx9x9epV7N69+z+18q4oaAXqG+DKlSuwsrKS\nOei9ffsWrq6uUpPtNWrUSBxHT1kYhkHt2rWlBpw9fvw4nJ2dWZ9rvH37Fjt37kRwcDCMjY3RokUL\nREVF4cmTJwA0l5ZEUyi7kiuzVMvIyEBwcDDc3Nxw69YtjfVHHm5ubqxiNiYnJ0MoFMqM5F1aWgoH\nBweJhIIMw6Bbt27i1dKKFSvg6uoq1ZLU09Pzs5wRXb16FbVq1fri23upqamIiopCYGAgjIyM0LZt\nW6xbt05ChCva7+9/Ba1AfSO0b98ea9eulXk/PT0dtWvXlpght2vXDocPH1bpmfHx8ahbt67UQYFh\nGHh5eamUZvzdu3c4ePAgBg0aBD6fj/r16yMkJAQt9PVVn4EaGmp8BronJgZ8AwN4V6qklKUawzDY\nsmULeDweVq5c+dmzvM6aNUtu1PeP6devH2bPni313r59++Dr6yvx/71t2za4urqioKAAhw4dgrm5\nuXhi8SmtW7fGX3/9pdwLsCAsLAwzZszQeLufIhKJcPHiRUyfPh316tWDQCDAoEGDEBsbq9AYJXLJ\nEvArVfrqOwD/JbQC9Y1w+fJlWFtby906evLkCWxsbLBt2zbxtX79+qmcdqJv375YsWKFzPv79u1T\n20ihpKQE8fHxsOfzK+QeflBQEAYMGICmHh4w0NGBrYEBbA0MWFmq/fPPP2jUqBFat26t8ZQbH3P1\n6lXUqVOHVdnHjx+Dy+UiPT293HWGYdCwYUMJg4sHDx6Az+fj1q1bSEpKgkAgkOv427dvX+zYsUP5\nl5ADwzCwtbXFzZs3NdpuGfn5+fjjjz8waNAgCIVCuLi4YPr06bhw4QLrHF6nT5+GUCjEgNBQlVbe\n3ytagfqGaNeuHdatWye3TEpKCszNzbFv3z4AwIQJE7BMhT+AzMxMmJiYICMjQ2aZ0tJSODo64vTp\n00q3/zEV1dHxUzP/7OxspKamIjU1lfVziouL8eOPP0IoFCq0tlMVkUgECwsL3L9/n1X5CRMmYNSo\nUeWuxcfHw9HRsdyAXFxcjIYNG2LVqlV49eoVbG1t5SaQBIBJkyYhMjJS+ZeQw+XLl+Hk5KTR7b3n\nz59j/fr1aNeuHYyMjNCyZUtERUWp5NcXExMDoVCIU6dOAWCXVudz+Ij9F9EK1DfEpUuXFK6igA/Z\nZIVCIf766y8sWLAA06dPV/pZq1evlpla/GO2bNkiN2cTGyqqH0nHjh2lmvirwvnz52Fvb48hQ4Yo\n3CpShREjRkiEJZJFRkYGeDxeOeOZDh06SESlmDlzJtq2bYt3797Bx8cHc+bMUdj2zz//zHq7kS2T\nJ0+WuS3JFoZhcO3aNcyZMweenp7gcrkIDQ3Fb7/9pvKkhmEYLF26FNbW1khOTi53r6ioCDExMSqt\nvL8ntAL1jdG2bVts2LBBYbnz589DIBBg8uTJGD58uFLPYBgGbm5uOHHihMKyhYWFsLCwUMu6qiIK\nlDzzflXJycnBwIED4eDgoLLhiiyOHDmiVFir+fPno1evXgCAW7duoUaNGuXe9cyZM6hRowbS09PR\nq1cv9OrVi9UKZuvWrazM3tnCMAysra1VMjh5//49Dh8+jBEjRsDCwgKOjo6YPHkyzpw5o7KPXhki\nkQjjx4+Hi4uLQqtFVVbe3wtagfrGuHjxImxsbFjNvo4fPw5jY2MEBAQo9YwrV67A3t6e9eH+0qVL\nWa22ZFERQwwFBQXJNO1Xl3379kEoFOKnn35Se6Aso6CgAMbGxnK3ZD8mPz8f5ubmuHbtGgYMGICF\nCxeK72VlZcHW1haHDx/G3Llz4e3trTCsVhmHDh1SGH5JGS5cuABnZ2fW23vp6enYsmULOnXqBCMj\nIzRr1gyRkZFISUnRWJ8KCgoQEhKC5s2bq+VjqEUrUN8kbdq0URgktIz58+dDR0dHquOlLIYPH15u\nwFJEbm6uxJaRsmgixJCvi4vKz/8YRWb9muD58+do2bIlfH19NRbPMDg4WCkDhXXr1qFp06bgcDjI\nzMwE8GHF0qtXL4wePRrR0dGwtbWVMKiQx6VLl9CwYUOl+y6LCRMmyN1aZBgGSUlJWLBgARo1agRT\nU1P06NEDu3btkulvpw6ZmZlo2rQpevbs+cV83b5ltAL1DXLhwgXY2tqyWkUlJyfD0tISVlZWrLa/\n8vLyYGpqqrTV2axZszBixAil6nxMdHQ0AgwMVBYoPx0d6OvrY+jQobhz547K/QAUm/RrCpFIhGXL\nloHP5+OXX35R2wjgl19+Qbdu3ViXLy4uhqmpKbp27Sq+tmvXLjg7OyM+Ph4CgQBJSUlK9SE1NRW2\ntrZK1ZGFSCSCpaUlbt++Xe56YWEh/v77b4wZMwa2trawt7fHuHHjcOLEic96rvP06VM4Oztj8uTJ\nn9114HtBK1DfKK1bt8amTZsUlktLS4OZmRnWrl0LBwcHhcKzdevWcqks2PL69WtwOBykpaUpXVck\nEiEqKgr6lSqp5ej44sULzJ07F0KhEO3bt8fJkyeVHvTZmPNrmps3b8LFxQUhISGsc31J4/Xr1zA2\nNmZ9bpadnQ0DAwO4urpCJBLh0aNH4PP5OHLkCMzNzVXyn8vLy4Oenp7S9aRx7tw5uPz/qjgjIwM7\nduxASEgITExM4Ovri0WLFuH27dtfxHn35s2bsLKykut2oUV5tAL1jXL+/HlWq6iioiLo6OiAYRgs\nWrQILi4ucrc+fHx88Oeff6rUpzFjxihtwXXz5k14e3vDz88PkUuWaCTU0fv377Fp0ybUqVMHHh4e\n2LVrF+vEgO3atROn8viSFBQUYPz48bCyssLx48dVbqdx48asHWUjIiLQp08feHl5ITo6Gr6+vli4\ncCHq1auH5cuXq/R8hmGgp6eH/Px8lep/3E7fvn3RqlUrNGnSBMbGxggODsa2bdvw77//qtW2spw4\ncQICgQB79+79os/9HtAK1DdMq1atsHnzZoXljIyMxMYDU6dORYMGDaSGu7l16xYsLCxUPrgvcwJl\nc3Ccn5+PKVOmQCAQYNOmTeItE1VDDElDJBLh8OHDaNGiBaysrBARESG3b5cuXYKNjc1XPVv4+++/\nYWFhgUmTJqlkQRgREYGRI0cqLFdmfXnz5k0cP34cXC4XAQEBaN++PYYPH67WqsTW1lYla8ri4mKc\nOnUKEydOhIODAypXroxevXohLi7uswWgVcTu3bshFApx5syZr/L8bx2tQH3DnDt3DnZ2dgpXB/b2\n9uKDeIZhMHLkSDRr1kzCMmvChAmYOXOmWn3q168fFi1aJLfMoUOHYGtri9DQUKmJBj+Ho+P169cR\nGhoKDoeD8ePH4/HjxxJl2Jrwf27K4vm5uroqbV6dkpICS0tLhQKzbds2tG7dGsCH1biuri4aN26M\ngIAAldPQl9GgQQPWZvRZWVmIjo5G7969weFw0KBBA/z000/YsmUL3Nzc1OqHOjAMg8WLF8PGxkbi\nDEyL5tAK1DdOYGAgtmzZIrdMgwYNcPnyZfFnkUiE0NBQtG/fXrxFWFBQAD6fr7ZF2a1bt2BmZibV\nLPn58+fo2rUratWqpXAb61NHR6vq1SGsXFltR8dnz54hLCwMXC4XPXr0EH8vFy5cYG2+/yVQJ56f\no6Mjrl+/LvO+SCSCs7MzTpw4gZycHNjb26Nbt26oUqWKRiKRt2/fHocOHZJ5/+HDh1i+fDlatGgB\nIyMjBAUFYePGjeXOR0ePHo0FCxao3RdVKC0txejRo+Hm5oYXL158lT58L2gF6hvn7NmzsLe3lzvr\nbdu2rUTK7+LiYnTu3Bk9evRAaWkpYmJiEBgYqJE+dezYsVxIptLSUkRFRYHH42H27NlKb9eUpTnw\n8vLSmJ9TTk4Oli9fDhsbGzRp0gQeHh5f5exJEQ8ePIC3t7dS8fymTJki1zT70KFD8PT0BMMw6N+/\nP9q3bw8zMzO0b98e8+fPV7vPAwcOxNatW8Wfy5JahoeHw9nZGWZmZhg6dCgOHjwoNU9YaWkpzMzM\nWIdu0iTv379HcHAwAgICtE61XwCtQH0HtGzZstyA8CmhoaHYuXOnxPWCggK0bNkSQ4YMQUBAgMZS\np5eF9SkpKcG1a9fg5eWF5s2b4969e2q16evrq5H+fUxJSQnmzZsHXV1dODg4YO3atayTK34plI3n\nl5CQAA8PD2RnZ+PRo0d49OhRucG2adOmiImJQUxMDOzs7CAQCBAfH48HDx6Ax+OxdvaVRVhYGObO\nnYt9+/ahf//+4PP5cHNzw6xZs3D58mWFq8HTp0/D4ysk73vz5g38/PzQp0+fCrOS/tbRCtR3QEJC\ngtxV1Pjx42VaZeXl5cHDwwN6enoaPYj29fVF27ZtIRQKNeLjc/HiRXh7e2uod+Vp1aoWJBBBAAAe\noElEQVQVNm7ciISEBHTu3Bl8Ph+zZs1SykH1S3DhwgXUrFlTbjy/wsJC7Nq1C6ZVqsCgalXYGRrC\nztAQBjo6aOLujp9++gm2trZ4+PAheDwerKysykW/HzVqVLksucrw5MkTrF69Go6OjtDV1UXr1q2x\nZs0amak5ZDFy5EiF55ia5vHjx3ByckJ4eLjWx+kLohWo74SAgIByA83HzJs3T67xw8SJE8Hn8zF3\n7ly1+8EwDGJjY8Hn88HhcPD69Wu12wQ0H6GgjDJDk49nzPfv38cPP/wAU1NTDB48uEIdkufm5sqM\n51dmXBJoZIRYKcYl+4ngV6UKONWrw9HREfb29ggLCyvXRnp6OrhcLitREYlEuHz5MmbOnAk3Nzfw\n+XwMGDAAY8aMUTn0VUlJCYRCIR4+fKhSfVVITEyEhYWFxgIDa2GPVqC+E86cOYOaNWtKXUWtW7dO\nZpSHkpISmJub48yZM6hdu7ZajohPnjxBx44dUadOHZw+fRqurq4SZ1+qcuXKFTRo0EAjbX1MYGCg\nTFP9jIwMzJs3D2ZmZmjbti2OHz/+xTO6yuLTeH7KmufzieBWt67UfEezZ89G//79pT63LNnkkCFD\nUKNGDTg7O2Pq1Kk4d+6cuK24uDixhaCynDx5El5eXirVVYWjR49CIBBg//79X+yZWv6HVqC+I1q0\naIFffvlF4vrevXsREhIitc7Bgwfh5+cH4EMoF1tbW7nnWdIoKSnB0qVLwePxMH/+fLEf0a+//qpU\nhG15XLt2DfXr19dIW2WwMTABPpzVbdmyBXXr1oW7uzt27NhRIc4oXrx4gZYtW6J2rVqwql5deQdn\nPT2pZvo5OTkQCoXiMEcvX77Exo0b0aFDBxgZGaFFixZYsWKFzFXOtWvX4OnpqdI7jRgxAhERESrV\nVZbt27fDzMwM586d+yLP0yKJVqC+I+Lj4+Hg4CDhaHvy5En4+/tLrRMUFFRua/D+/fswNzdn7TV/\n6dIluLu7IzAwEP/880+5eyUlJbC3t9fIAJCYmKjxg3NFxiWfIhKJEBcXh5YtW8LCwgI///yzOMjq\n1+L9+/fgVK+uVoioT8WWYRhMmTIFjo6O8PLyAofDQe/evRETE8PKCfvZs2ewtLRU+l1KSkogEAg0\nmtNLGgzDYMGCBbCzs1PLcEeL+mgF6jvD399fIsV7UlIS6tWrJ1H2xYsX4HA4EmFpkpKSIBQKERcX\nJ/M52dnZGDVqFGrUqIHdu3fL3Ppat26dSrH9PuXGjRsaddxMSEiQuSXKtj99+/YFh8PBuHHjPvug\nKovo6Gi0VCOXVoChIWJiYlBQUIC4uDiMHDkSVlZWcHBwgLGxMVauXKn0d1RQUABdXV2lt0OPHTv2\nWc4ZP6akpAQjRoyAh4eHSnEjtWgWrUB9Z5w+fVpiFfXixQuYm5tLlJ0/f77Ms6mLFy9CIBBIhHhh\nGAa//fYbLCwsMHz4cIUriPfv38PMzEylhHMfk5SUBFdXV7Xa+Bh5RiXK8Pz5c4SHh4PH4yEkJAQX\nL17UQO/Yo4k0JVYmJjA2NkaTJk0QERGBe/fugWEY7Ny5Ez4+Piqdu30cXostQ4cO1Xi6+I959+4d\nOnbsiFatWkkN9aXly6MVqO+Q5s2bl8sLVFBQIA4YW4ZIJIKdnR2uXr0qs52yIJllZR49eoS2bdui\nXr16Sm3bLVq0CP369VPhTf7HrVu3xJGt1UWeQYmq5ObmYuXKlbCzs4Ofnx/2798v1QBBk5QleixR\nQ6CKiaBXpYrUCCKlpaVwc3PDH3/8oXTfHBwcJLZ85VFcXAwej6e0STpbXr9+DW9vb/Tv379CnB9q\n+YBWoL5DTp06hdq1a5dbRRkYGCA3N1f8+fjx4/Dw8FA4Oz5w4ACEQiEmTJgAHo+HxYsXKz2wZ2Vl\nsTZdlsWdO3fg7Oyscv2PkWVMoglKSkqwd+9eeHt7w8HBAatXr1Y7srcsHj16BDs1tvfKfmwNDGRu\nUR45cgR16tRROoCwj4+PUpOYo0ePwsfHR6lnsOXhw4eoXbs2ZsyYUWGsMLV8oDJp+e7w9/cnc3Nz\niomJISKinJwcMjExocTERMrJySEios2bN9PQoUOpUqVKctvi8/mkq6tLGzZsoP3799PUqVNJR0dH\nqf6YmprS0KFDadmyZaq9EBFVqlSJGIZRuX4ZZ86coWfPnlHfvn3VbksaVatWpe7du9PFixdpx44d\ndOrUKbKzs6OZM2dSenq6Sm0WFxdTeno63blzhxISEuiPP/6gLVu20IYNG6i4qEjDb1Cedu3akZmZ\nGe3YsUOpekKhkDIyMliX37t3L/Xo0UPZ7ink6tWr1LRpU5o0aRItXLhQ4e+7li9LJQD42p3Q8uU5\nevQoDRo0iByEQrp57x4ZiERUvVo1eltaSq6OjpSUmkqPHz8mMzMzqfUzMzNp2rRpdOTIEVq5ciW9\nefOGli5dSgkJCWRpaal0f9LT08nFxYXu379PAoFA6fr379+nTp060f3795Wu+zH+/v40aNAgGjBg\ngFrtKMODBw9o5cqVFB0dTe3ataPQ0FDi8/n09u1bevv2LWVmZor/Le1aYWEhcblc4nK5xOPxxD+G\nhoa0Ze1aymEYUm7K8D9KiIijo0MvMzLIxMREaplLly5RSEgIPXjwgPT09Fi1O2zYMGrYsCENHz5c\nYdni4mIyNzenmzdvkrW1tTLdl0tcXBwNGDCAtmzZQp07d9ZYu1o0R9Wv3QEtX57f9uyh8SNGkEN+\nPk1+9Yo60v//IhQUUAkRHbpzh5ZXrUrujo4UtXEj9ezVS1wXAEVHR9OUKVOoW7dudPfuXfHAlZub\nS61ataKEhATi8/lK9cnc3Jy6d+9Oq1atovnz5yv9TpUrV1Z7BRUfH08vX76k0NBQtdohInr//r1M\nQZF1LTc3l2JjY2nv3r1kYGBAtWvXJkdHR+Lz+cTlcqlOnTpi8flYjIyNjWXO/G8kJNChpCTqquJ7\n/ElE9V1cZIoTEZGPjw81atSIVq9eTeHh4azaFQgErFdQJ06coDp16mhUnLZu3UozZ86kP//8k3x9\nfTXWrhbNohWo74xVy5fT0lmz6EhBAXlJua9DRF2JqGtpKV3PzaXgIUPo37Q0GjdpEj148IBGjRpF\nGRkZdPDgQWrUqFG5ulOnTqWcnBxq27YtnTx5Uu6gJo2wsDDy8fGh8PBwMjIyUqquult8AGjOnDk0\ne/Zsqlr1f38WpaWl5YSEjdBkZmYSgHKrmY9FxcLCglxdXSWEhsPhkI6ODhUVFVF0dDQtW7aMbt++\nTZMmTaLevXtTtWrVlH6vVl270rI7d6hraalK38s6IyMaNXWqwnKLFi2ipk2b0rBhw4jD4SgsLxQK\n6fHjx6z6oMntPQA0b9482rFjByUkJJCjo6NG2tXyedBu8X1H/LZnD4UNHkznCgrIhmWdZ0TURE+P\nfIKC6NSpUzRjxgwaN25cuUH8YwDQ2LFjKTk5mY4ePUr6+vpK9bFXr17UsGFDmjx5slL1UlNTKTAw\nkFJTU2X2Kzc3V6bIJCcn04kTJ8jHx4eysrLE5fLz88nU1FSq0Mi7pqenp/Z5BgA6duyYWKjGjh1L\nI0aMIC6XK7cewzB0+PBhioyMpOfPn1Puv//SicJCqq/k868TUQdjY3qWkUG6uroKyw8bNoy4XC5F\nREQoLBsdHU2HDh0Sn4PKoqioiMzNzenWrVsqbR1/TGlpKY0cOZJu3LhBR44ckbl9raXioBWo74Si\noiKyFQopLjdXpYGqRdWqlHjvHtWqVUtheYZhaODAgeKVFpvBrYwbN25QUFAQpaamylwxFBYWSojM\n/fv3KTIykoYOHSp1dZOZmUnVq1eXKihcLpeio6OpVatW1KlTp3JCY2JiQpUrf31boqSkJFq+fDkd\nOnSIQkNDacKECeTg4FCuTGFhIe3evZuWLVtG+vr6FBYWRiEhIbT/999Vm5jo61Pk1q3ltnjl8fLl\nS3Jzc6OkpCSysrKSW/b48eMUERFBJ06ckFvu8OHDFBERQWfPnmXZc+nk5+dTz549iWEY2rdvHxka\nGqrVnpYvg3aL7zshNjaW6jGM0uJERORFRA2rV6dr166xEqjKlSvTtm3bqHv37hQaGkoxMTFSV1wi\nkYiys7MlBMXIyIi6detG1tbWUlc8JSUlEkJTrVo1EolEJBAIyMnJSWKFw+FwZAreyZMnae/evbRm\nzRqZK8Ovjbu7O+3YsYPS0tJo9erV5O3tTc2bN6fJkyeTs7MzrV+/nlavXk2enp60bt068vf3F6/g\nevbqRf+mpVGTWbPoDxlbux9znYiC9fVpyvz5rMWJiMjS0pKGDRtGc+fOpS1btsgtKxQK6fXr1wrb\n3Lt3L/Xs2ZN1H6Tx+vVr6tChA7m6utLGjRuVtjLV8vXQrqC+E5p6eNBENQ7L9xNRlIcHJdy4IXEP\nAL17905i1fLq1StatWoVVa9enerXry/VKMDY2FhiRVNQUEDx8fE0Z84cEggEEmJkaGgosX32/Plz\n8vX1pRcvXij1XgCoWbNm9MMPP2jEOOJLkZ+fT0uXLqUVK1bQu3fvqEmTJhQVFUXu7u4y65QZx9Rj\nGBqVn0+d6H8z1BL6YBCxzsiI7lSqJGEcw5asrCxydHSkhIQEcnZ2llkuPT2dPD096dWrVzLLFBYW\nkrm5Od29e5fMzc2V7gvRBwvJMsvIuXPnas3I/2NoBeo7ICcnhywFAsouKVF5yVxCRMaVK1OPvn0p\nLy9PQoyqVq0q9WzG0NCQ9u3bR46OjjR27FixRVrZqqZKlSoSzwJAvr6+FBYWRt26dWPVv5cvX1Kj\nRo3o5cuXSr3XiRMnaMyYMXTnzh2pfamIJCYmUmRkJB07dowGDRpEjo6OtH37dnr16hVNmDCBBg8e\nLHMLq7i4mGJjY2ldRAQl3rlD/P/ffn1TXEz1XVxo1NSp1LVrV6W2ZT8lMjKSLl68SLGxsTLLlJSU\nkL6+PhUVFcncQj148CCtWLGC4uPjVerH5cuXqUuXLjRv3jwaNmyYSm1o+cp8Wb9gLV8DTUUUsNDV\nxcKFC/H777/j1KlTSEpKwosXLxRm2s3KyoK7uzt+/PFH1n3+448/0KBBA9ae/WlpaahRowbr9oEP\ncQMbN26MX3/9Val6XwPm/9q7+6Coq/0P4B9RQhB3WR5FUGBsDFIC0VITLY3RZpzMC3RxHFMn8pZM\n9rPSqKSbqdfpqqWWT5Ra2R2BVMjnx+s0VmoP6mhm5tN4tUBEaEGedpf9vn9/mNxLLLAsC5yF9+uv\nZb/ne85ZdHjv+X7P9xxNw969ezFmzBiEhoZi2bJl9daLO3r0KJKSkuDn54fXXnsNv/32W6N1Go1G\nXLlyBVeuXGn2uniNqaysRGhoKI4ePdpoOYPBgFu3bjV4fPLkyVi9erVDfdixYwf8/f2xa9cuh84n\nNTCgOoG2WPKmKYWFhejfvz/effddu8pbrVZERkbi0KFDdpW/ceMGAgMDm9WnAwcOIDIystXXxGsJ\nk8mETz/9FNHR0YiOjsamTZuaXCvu0qVLeOGFF+Dj44OpU6fW7tvUljZs2IBRo0Y1+gXjvvvuw7lz\n52weq6yshF6vR0FBQbPbXrduHXr16oVvv/222eeSWhhQncDdRUPNLVw0tIe7e4u+aV+7dg1hYWEN\n7lD7Zx9//DEee+wxu8oWFhbC39/f7r5omobhw4dj8+bNdp/TloxGI5YsWYKQkBAkJCRg3759zV4n\nrri4GIsXL0ZwcDASEhKwd+/eNltrzmKxICoqqtEdk+Pj4+uthn9Xbm4uRo8e3aw2NU1DRkYG+vXr\nh4sXLzbrXFITA6qTcMa2CyOdsCHghQsX0Lt3b2RnZzdZ1mQyoU+fPvjuu++aLFtUVAQ/Pz+7+7F/\n/35ERUUpN3q6fv065syZA19fX0yePBknT55scZ3V1dX45JNPEB0djQEDBmDDhg21uxq3pry8PERH\nRzf4O05MTMSWLVtsHps0aRLWrl1rd1tmsxnTpk3Dgw8+iMLCQof6S+phQHUSLd64rmdPZNnY/tsR\ndzc8tOf+wIoVK5CUlNRkueLiYhgMBrva1zQNw4YNsysk28rp06fx9NNPw2AwYPbs2a2yrYSmaThw\n4ADGjRuHXr16YdGiRY3eA3JGe8OHD8emTZtsHn/uueds3mOqqKiAXq/HzZs37WqnrKwM48aNw/jx\n41ttZXhqHwyoTqK6uhpBOp1Tt/5uiePHjyMgIABffvllo+XKy8sREBCA8+fPN1qupKQEer3errb3\n7t2L+++/v91HT5qm4dChQxg3bhyCg4OxePHiNtsi/syZM5g+fTp8fHyQlpbWapfEjhw5grCwMJsj\ntjfffBPz58+v9/7WrVuRkJBgV/0FBQWIi4vDjBkzmr3lB6mPAdWJZGdloY+nJ/7TjHD6jwj6eHkh\n20mjp/91+PBhBAQENHkJb/78+UhNTW20jNFohE6na7JNTdMwdOhQ5OTkNKuvzmSxWLB582bExcUh\nKiqqzS652ZKfn4833ngD/v7+mDhxIr766iun36caP348li9fXu/9Dz74AGlpafXef+qpp/Dhhx82\nWe/58+cRERGBBQsWcB+nDooB1cmsfPdd9PH0xA92jpz6eHlhpZ0z7xyxY8eOJrd8v3XrFgwGA379\n9dcGy5SVlcHb27vJ9vbs2YMBAwbAarU61N+WuH37NlasWIGwsDCMGjUKO3fubJd+2FJeXo5Vq1ah\nX79+eOihh/D55587bURy5swZBAYG1ptgk52djeTk5Hr90Ol0KCoqarTOb775BkFBQdi4caNT+khq\nYkB1QtlZWQjS6fCYtze2idTZEtz8x4SIMT17Ikina5WR059t3rwZISEhuHTpUoNlZs+ejVdeeaXB\n4+Xl5fDy8mq0HU3Tav/4tqWCggK8/vrr8PPzQ3JyMo4fP96m7TdHTU0NcnNz8fDDDyM8PBwrVqyo\ns9Oyo6ZOnYqMjIw67x0+fBiPPPJInfdycnIwduzYRuvKy8uDv78/9uzZ0+J+kdoYUJ2UyWRCVlYW\nRsbGooe7O8J69EBYjx7o4e6OkbGxyMrKcuo9p6ZkZmYiIiIC169ft3n82rVrMBgMKC4utnm8oqIC\n3bt3b7SN3bt3Y+DAgW02avn555+Rmppae5+nsQBW0bFjx5CcnAw/Pz+8+uqrDf7b2OPq1avw9fWt\n81zT2bNnERUVVadcUlIS1q9f32A9q1evRnBwML7//nuH+0KugwFFrbaiQHMtWbIEkZGRDc7emj59\nOhYuXGjzWFVVFTw8PBqsW9M0DBkypMFpzc6iaRqOHDmCJ554AoGBgXj77bebvFyluitXruDFF1+E\nwWDAlClTcOrUKYfqeemllzBz5szany9evAgfHx9cvnwZRqMRt2/fhk6ns/klxGq1Ij09Hf3798fl\ny5cd/izkWhhQpJR58+Zh0KBBNoPy3LlzCAwMREVFRb1jJpMJ7u7uDda7a9cuREdHt9roqaamBlu2\nbMHQoUNx7733Yu3ataisrGyVttpLSUkJ3nnnHYSEhGDMmDHYvXt3s36fRUVF8PX1xXvvvYf4mBj0\ncHeHvwjC/xi5D+zbFzExMfVG7iaTCVOmTMGwYcNcPuypeRhQpBRN0zBr1iyMGDHC5jMtEydOxPvv\nv1/vfYvFgq5duzZY55AhQ7B161an97eiogKrV69Gv379MGzYMGzbtq3dp6+3NpPJhE2bNiEmJgZR\nUVFYv359k+sxAnfuffp4eGBEt27ItXHvc5sIRnl41Ln3WVpaioSEBDz55JM2v5hQx8aAIuVYrVZM\nmzYNY8eOrTf9+vjx4+jbty/MZnOd92tqatClSxeb9e3cuRMPPPCAU0dPN2/exFtvvYWAgABMmDCh\nVaZnq+7uc1yPP/44goKCsGDBggZHOI7MHl3w978jJiYGM2fO7PChT7YxoEhJFosFiYmJSExMrDfd\nefTo0fVWJ9A0DbYW59c0DYMHD0Zubq5T+nXx4kXMnDkTBoMBM2bMaPIB4s7i7NmzeOaZZ+Dj44Pn\nn38ev/zyS+0xR5+/8+/SBZNSUjpd8NN/MaBIWdXV1Rg7diymTZtWZ/Szf/9+m88yiUi9P2bbt29H\nTExMi0dPx44dQ1JSEvz9/TFv3jzcuHGjRfV1VAUFBcjIyKgdWR48eFCpFUzItTCgSGnl5eUYMWIE\nZs2aVRs+mqZh0KBB2LFjR52ybm5udS4F3S2Xl5fnUNtWqxXbt29HfHw8wsPDsXLlSty+fdvxD9OJ\nVFRUYM2aNejVqxeGubk5vgakt7fT1oAk18OAIuX9/vvviI2NrfOgZ05ODoYPH14bWkajEW5ubjh/\n/nztDMAvvvgCsbGxzb5EVFVVhY8++giRkZGIi4tDVlYW13lz0IgHHlBiFX1yTdzynVzCzZs3ZdSo\nUfLss8/KnDlzxGq1Sv/+/WXKlClyePt2OXXunHhaLOLdo4cUmc0y6P775brRKMuWLZPk5GS72igp\nKZG1a9fKqlWrZNCgQTJ37lx59NFHpUuXLq386Tqm0tJSCQkIEKPFIt0crMMiIgZ3d/mtqEj0er0z\nu0cuwNH/N0RtKjAwUA4dOiQjR44UnU4nep1Ofs/Pl0P/+IfMsVrlCfnjP3NFhVhEZOfp07LUzU1e\nSE0Va02NpEya1GDdV69eleXLl8tnn30mEyZMkIMHD8rAgQPb6JN1XMXFxRLg4SHdLBaH63AXEf97\n7pGSkhIGVCfEgCKXERoaKgcPHpShgwdL9+pqOWg2y2Ab5dxFJFFEEjVNTpSVyV9SU6UwP19efPnl\nOuVOnjwpS5culQMHDkhqaqr8+OOPEhIS0hYfxWWZzWYpLS2V0tJSMRqNjb7Oz8+Xqqqq9u4yuTAG\nFLmUEz/8IJ5msxw1m6WvHeUHi8jXlZUS/+abEtS7t/w1JUX27dsny5YtkwsXLsjs2bMlMzNTdDpd\na3e93VmtVikrK7M7YGz9bDabRa/Xi4+Pj+j1epuv+/btK3q9Xtzd3eXrf/9bLHLnS4MjLCJyy2wW\nX19fJ/4myFXwHhS5DJPJJGGBgbKnrEzimnnuCREZ6+kpvSIipGvXrjJ37lxJSUmRe+65pzW66nQA\npLy8vMHgsOd1RUWFeHt7Nxkwtl7f/dnLy6tZ9+RGxsbKS6dPS6KDn3ubiKyMjZUjp045WAO5Mo6g\nyGXk5ubKQE1rdjiJ3BlJ9Teb5dEJE2Tx4sVtPvGhurq60ZFJU6/LysrEw8OjySAJDQ1tsEzPnj3F\nzc2tTT93Wnq6rPnb3ySxvNyh89f07Clp6elO7hW5Co6gyGW017fxmpqaJi99NfUaQLNHLX8ewbi7\nO3qhrP20dNQ7XqeTa0VFLjPSJediQJFLcNaUZZ9u3WTjv/4lFovF7rCprq6ud6mroZ8bet29e/dO\nO109Jztb5j7zjHxdVWXXfUMRkWsiEu/lJUs3bGh0BiZ1bLzERy7BWVOWvTVN1q1bJ8HBwbXhYTAY\nJDw8vMGA8fb27rTh4gwpkyZJYX6+xGdkSF5Vlc2Zl//rhIj8xctL5ixcyHDq5BhQ1Kl4enrKxo0b\nJSIior270qm8+PLLEtS7t4x/7jkZqGmSVl4uE+S/f4AsIrJD7txz+qlLF1mZmclwIl7iI9dw9xLf\n7xZLi6Ysc1WC9mU2myU3N1fW/POfcvKnn8T/j3tLt8xmiRswQNLS0yUxMZH3nEhEGFDkQjhluWMp\nLS2VkpISERHx9fXllwaqp23nnBK1QFp6uqzx9nb4fE5ZVoter5eIiAiJiIhgOJFNHEGRy+CUZaLO\nhSMochkeHh6yMjNTJnp6yrVmnHdN7swKW5mZyXAiciEMKHIpKZMmyZxFiyTe01NO2FH+hNx5noZT\nlolcDy/xkUvKyc6W/+OUZaIOjQFFLotTlok6NgYUdQicskzU8TCgiIhISZwkQURESmJAERGRkhhQ\nRESkJAYUEREpiQFFRERKYkAREZGSGFBERKQkBhQRESmJAUVEREpiQBERkZIYUEREpCQGFBERKYkB\nRURESmJAERGRkhhQRESkJAYUEREpiQFFRERKYkAREZGSGFBERKQkBhQRESmJAUVEREpiQBERkZIY\nUEREpCQGFBERKYkBRURESmJAERGRkhhQRESkJAYUEREpiQFFRERKYkAREZGSGFBERKQkBhQRESmJ\nAUVEREpiQBERkZIYUEREpCQGFBERKYkBRURESmJAERGRkhhQRESkJAYUEREpiQFFRERKYkAREZGS\nGFBERKQkBhQRESmJAUVEREpiQBERkZIYUEREpCQGFBERKYkBRURESmJAERGRkhhQRESkJAYUEREp\niQFFRERKYkAREZGSGFBERKQkBhQRESmJAUVEREpiQBERkZIYUEREpCQGFBERKYkBRURESmJAERGR\nkhhQRESkJAYUEREpiQFFRERKYkAREZGSGFBERKQkBhQRESmJAUVEREpiQBERkZIYUEREpCQGFBER\nKYkBRURESmJAERGRkhhQRESkJAYUEREpiQFFRERK+n+KdRuiZSOwHQAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "To save publication quality figures, we use the pdf backend to matplotlib, and generate our figure as a vector graphic rather than the raster graphic image. We can call pdf.savefig() multiple times and it will save multiple pages to the pdf filename specified." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from matplotlib.backends.backend_pdf import PdfPages\n", "\n", "with PdfPages('polarplot.pdf') as pdf:\n", " # polar plot using add_axes and polar projection\n", " fig = plt.figure(figsize=(5,5))\n", " ax = fig.add_axes([0.0, 0.0, .6, .6], polar=True)\n", " t = linspace(0, 2 * pi, 100)\n", " ax.plot(t, t, color='blue', lw=3);\n", " pdf.savefig(fig)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAARUAAAENCAYAAAAha/EUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nhcPhKAp3KhwOR1H+H0kZ9IzNCaeTAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Seaborn:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Seaborn is a library for making attractive and informative statistical graphics in Python. It is built on top of matplotlib and tightly integrated with the PyData stack, including numpy, pandas data structures, and statistical routines from scipy and statsmodels. It offers nice color palettes and simple built-in defaults for statistical plots, so not much tweaking is needed compared to matplotlib to get a sophisticated result.\n", "\n", "**Strengths:** well-suited to statistical plots (like those in R). Can be used to \"freshen up\" the look of matplotlib plots. Runs on top of matplotlib, so you get all of that functionality as well, including exporting to vector graphic pdfs.\n", "\n", "**Weaknesses:** Relatively new codebase, API is still emerging / evolving. Has most of the same limitations as matplotlib in terms of rendering speed." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import seaborn as sns\n", "from scipy import stats, optimize" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "#Diverging: useful when data has natural, meaningful break-point \n", "#like correlation values which are spread around zero\n", "sns.palplot(sns.color_palette(\"coolwarm\", 7))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAZQAAABGCAYAAADrRGIwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\npAAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "#Qualitative: useful when data is categorical\n", "sns.palplot(sns.color_palette(\"Set2\", 10))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAjwAAABGCAYAAADIKU4UAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAPJ+A6nOKn97dSF1AAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Sequential:** useful when data range from 'low' to 'high' values\n", "The cubehelix color palette system makes sequential palettes with a linear increase or decrease in brightness and some variation in hue. This means that the information in your colormap will be preserved when converted to black and white (for printing) or when viewed by a colorblind individual.\n", "Matplotlib has the default cubehelix version built into it:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "sns.palplot(sns.color_palette(\"cubehelix\", 8))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAcwAAABGCAYAAABBh6SMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nCAQTAALBBIDgD3EVJUg9tixWAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Seaborn adds an interface to the cubehelix system so that you can make a variety of palettes that all have a well-behaved linear brightness ramp. The default palette returned by the seaborn cubehelix_palette() function is a bit different from the matplotlib default in that it does not rotate as far around the hue wheel or cover as wide a range of intensities. It also reverses the order so that more important values are darker:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "sns.palplot(sns.cubehelix_palette(8, start=2))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAcwAAABGCAYAAABBh6SMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYAJAIJgAEAgmAASCCQDBH2zlIvSh5wwqAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "One of my favorite functions within Seaborn is a joint distribution plot that allows visualization of a bivariate distribution and its marginals.\n", "\n", "This is similar to a histogram, except instead of coding the number of observations in each bin with a position on one of the axes, it uses a color-mapping to give the plot three quantitative dimensions." ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = stats.gamma(3).rvs(5000)\n", "y = stats.gamma(5).rvs(5000)\n", "with sns.axes_style(\"white\"):\n", " sns.jointplot(x, y, kind=\"hex\", color=\"#4CB391\"); #change kind=\"reg\" to show regression line" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAZgAAAGbCAYAAAD5r4b7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIAAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another great statistical plot, the violin plot conveys the same information as a boxplot, showing the median, and 25th and 75th percentiles, adding the shape of the distribution. And we can add the individual observations as well in two different ways:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "d1 = stats.norm(0, 5).rvs(100)\n", "d2 = np.concatenate([stats.gamma(4).rvs(50),\n", " -1 * stats.gamma(4).rvs(50)])\n", "data = pd.DataFrame(dict(d1=d1, d2=d2))\n", "data = pd.melt(data.ix[:50], value_name=\"y\", var_name=\"group\")\n", "f, (ax_l, ax_r) = plt.subplots(1, 2)\n", "sns.violinplot(data.y, data.group, \"points\", positions=[1, 2], color=\"RdBu\", ax=ax_l)\n", "sns.violinplot(data.y, data.group, \"stick\", positions=[3, 4], color=\"PRGn\", ax=ax_r)\n", "plt.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAiwAAAF4CAYAAAB3gKKVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\neCpYRERExPH+PxWnLWAYw1ktAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Seaborn switches many graphics defaults that will affect other graphics from libraries based on matplotlib, like mpld3 below. We need to reset the defaults with the following command." ] }, { "cell_type": "code", "collapsed": false, "input": [ "sns.reset_orig" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "mpld3:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[mpld3](http://mpld3.github.io) is a package allowing seamless visualization of [matplotlib](http://www.matplotlib.org) plots using [D3js](http://d3js.org/) javascript renderer. D3js is a popular Javascript library for interactive data visualizations for the web. This means you can use the same syntax as within matplotlib as well as add custom javascript plugins for interactivity and then view your graphics within the browser, a webpage or IPython. Since your figure is now an HTML Canvas object, you can benefit from GPU acceleration.\n", "\n", "Figures can be saved to file as stand-alone HTML format (save_html()), or as JSON format (save_json() note that custom plugins which are not built into mpld3 will not be part of the JSON serialization).\n", "\n", "**Strengths:** familiar matplotlib syntax, instantly turn any matplotlib graphic into an HTML Canvas object and add interactivity, can have GPU acceleration\n", "\n", "**Weaknesses:** need familiarity with Javascript to add most interactivity, can only export graphics for the web" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import mpld3\n", "from mpld3 import plugins, utils" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 24 }, { "cell_type": "markdown", "metadata": {}, "source": [ "For example, here is the built-in Linked Brushing plugin that allows exploration of multi-dimensional datasets. Selecting points with the brush lets you quickly explore the relationships between the points in many different 2D projections." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(3, 3, figsize=(6, 6))\n", "fig.subplots_adjust(hspace=0.1, wspace=0.1)\n", "ax = ax[::-1]\n", "\n", "X = np.random.normal(size=(3, 100))\n", "for i in range(3):\n", " for j in range(3):\n", " ax[i, j].xaxis.set_major_formatter(plt.NullFormatter())\n", " ax[i, j].yaxis.set_major_formatter(plt.NullFormatter())\n", " points = ax[i, j].scatter(X[j], X[i])\n", " \n", "plugins.connect(fig, plugins.LinkedBrush(points))\n", "mpld3.display()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", "\n", "\n", "\n", "
\n", "" ], "metadata": {}, "output_type": "pyout", "prompt_number": 25, "text": [ "" ] } ], "prompt_number": 25 }, { "cell_type": "markdown", "metadata": {}, "source": [ "My next example is borrowed from the Pythonic Perambulations blog. Here we can hover over points in our scatterplot to see the associated sinusoid above. This is clearly a bit more complicated, requiring knowledge of Javascript to create a custom plugin for the interactivity.\n", "\n", "Use the toolbar buttons at the bottom-right of the plot to enable zooming and panning, and to reset the view. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "class LinkedView(plugins.PluginBase):\n", " \"\"\"A simple plugin showing how multiple axes can be linked\"\"\"\n", "\n", " JAVASCRIPT = \"\"\"\n", " mpld3.register_plugin(\"linkedview\", LinkedViewPlugin);\n", " LinkedViewPlugin.prototype = Object.create(mpld3.Plugin.prototype);\n", " LinkedViewPlugin.prototype.constructor = LinkedViewPlugin;\n", " LinkedViewPlugin.prototype.requiredProps = [\"idpts\", \"idline\", \"data\"];\n", " LinkedViewPlugin.prototype.defaultProps = {}\n", " function LinkedViewPlugin(fig, props){\n", " mpld3.Plugin.call(this, fig, props);\n", " };\n", "\n", " LinkedViewPlugin.prototype.draw = function(){\n", " var pts = mpld3.get_element(this.props.idpts);\n", " var line = mpld3.get_element(this.props.idline);\n", " var data = this.props.data;\n", "\n", " function mouseover(d, i){\n", " line.data = data[i];\n", " line.elements().transition()\n", " .attr(\"d\", line.datafunc(line.data))\n", " .style(\"stroke\", this.style.fill);\n", " }\n", " pts.elements().on(\"mouseover\", mouseover);\n", " };\n", " \"\"\"\n", "\n", " def __init__(self, points, line, linedata):\n", " if isinstance(points, matplotlib.lines.Line2D):\n", " suffix = \"pts\"\n", " else:\n", " suffix = None\n", "\n", " self.dict_ = {\"type\": \"linkedview\",\n", " \"idpts\": utils.get_id(points, suffix),\n", " \"idline\": utils.get_id(line),\n", " \"data\": linedata}\n", "\n", "fig, ax = plt.subplots(2)\n", "\n", "# scatter periods and amplitudes\n", "np.random.seed(0)\n", "P = 0.2 + np.random.random(size=20)\n", "A = np.random.random(size=20)\n", "x = np.linspace(0, 10, 100)\n", "data = np.array([[x, Ai * np.sin(x / Pi)]\n", " for (Ai, Pi) in zip(A, P)])\n", "points = ax[1].scatter(P, A, c=P + A,\n", " s=200, alpha=0.5)\n", "ax[1].set_xlabel('Period')\n", "ax[1].set_ylabel('Amplitude')\n", "\n", "# create the line object\n", "lines = ax[0].plot(x, 0 * x, '-w', lw=3, alpha=0.5)\n", "ax[0].set_ylim(-1, 1)\n", "\n", "ax[0].set_title(\"Hover over points to see lines\")\n", "\n", "# transpose line data and add plugin\n", "linedata = data.transpose(0, 2, 1).tolist()\n", "plugins.connect(fig, LinkedView(points, lines[0], linedata))\n", "\n", "mpld3.display()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", "\n", "\n", "\n", "
\n", "" ], "metadata": {}, "output_type": "pyout", "prompt_number": 26, "text": [ "" ] } ], "prompt_number": 26 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Bokeh:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Bokeh is an interactive web visualization library for Python with a modern \"grammar for graphics\". It provides d3-like html canvas graphics for large or streaming datasets, all without requiring any knowledge of Javascript. Bokeh makes it really fun and easy to interactively explore your data. \n", "\n", "Bokeh renders vector graphics directives to an intermediate representation that it sends over a communications socket to the javascript interpreter in your web browser. Then, there is a javascript layer (called BokehJS) that unserializes the JSON and draws it into the HTML5 canvas.\n", "\n", "**Strengths:** uses a modern \"visual grammar\" for programming graphics, uses the HTML5 canvas object and thus has GPU acceleration in modern browsers, plots can be interactive and easier to explore.\n", "\n", "**Weaknesses:** API and examples are still evolving" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from __future__ import division\n", "from collections import OrderedDict\n", "from six.moves import zip\n", "from bokeh.plotting import *\n", "from bokeh.objects import Range1d, ColumnDataSource, HoverTool\n", "from bokeh.sampledata.unemployment1948 import data\n", "output_notebook()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ " \n", " \n", " \n", " \n", "
\n", " \n", " BokehJS successfully loaded.\n", "
" ], "metadata": {}, "output_type": "display_data" } ], "prompt_number": 28 }, { "cell_type": "markdown", "metadata": {}, "source": [ "First import the bokeh.plotting module, which defines the graphical functions and primitives.\n", "Next tell Bokeh to display its plots directly to the notebook. This causes all of the Javascript and data to be embedded directly into the HTML of the notebook itself (or output straight to HTML files, or use a server).\n", "\n", "Use Bokeh's circle() function to render a glyph at each of the points in x and y.\n", "We can immediately interact with the plot, click-and-drag to pan, shift + mousewheel to zoom.\n", "Tool bar is default, but can configure dynamically via 'tools' keyword arg." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Lets plot 4000 circles, you can play around with this if you like\n", "N = 4000\n", "# Create a bunch of random points, radii and colors for plotting\n", "x = np.random.random(size=N) * 100\n", "y = np.random.random(size=N) * 100\n", "radii = np.random.random(size=N) * 1.5\n", "colors = [\"#%02x%02x%02x\" % (r, g, 150) for r, g in zip(np.floor(50+2*x), np.floor(30+2*y))]\n", "figure()\n", "hold()\n", "circle(x, y, radius=radii, fill_color=colors, fill_alpha=0.6, line_color=None, title=\"Colorful Scatter\")\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", "
\n", "\n" ], "metadata": {}, "output_type": "display_data" } ], "prompt_number": 29 }, { "cell_type": "code", "collapsed": false, "input": [ "# Read in the data with pandas. Convert the year column to string\n", "data['Year'] = [str(x) for x in data['Year']]\n", "years = list(data['Year'])\n", "months = [\"Jan\",\"Feb\",\"Mar\",\"Apr\",\"May\",\"Jun\",\"Jul\",\"Aug\",\"Sep\",\"Oct\",\"Nov\",\"Dec\"]\n", "data = data.set_index('Year')\n", "colors = [\"#75968f\", \"#a5bab7\", \"#c9d9d3\", \"#e2e2e2\", \"#dfccce\", \"#ddb7b1\", \"#cc7878\", \"#933b41\", \"#550b1d\"]\n", "# need to have values for every pair of year/month names, map the rate to a color\n", "month = []\n", "year = []\n", "color = []\n", "rate = []\n", "for y in years:\n", " for m in months:\n", " month.append(m)\n", " year.append(y)\n", " monthly_rate = data[m][y]\n", " rate.append(monthly_rate)\n", " color.append(colors[min(int(monthly_rate)-2, 8)])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 30 }, { "cell_type": "code", "collapsed": false, "input": [ "# create a `ColumnDataSource` with columns: month, year, color, rate\n", "source = ColumnDataSource(\n", " data=dict(\n", " month=month,\n", " year=year,\n", " color=color,\n", " rate=rate,\n", " )\n", ")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 31 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This example uses the built in hover tool from bokeh. Bokeh understands the semantics of pandas dataframes, easily showing the data in the tooltip, and you don't need to write a complicated javascript plugin." ] }, { "cell_type": "code", "collapsed": false, "input": [ "figure() # x_range is years, y_range is months (reversed)\n", "rect('year', 'month', 0.95, 0.95, source=source,\n", " x_range=years, y_range=list(reversed(months)),\n", " color='color', line_color=None,\n", " tools=\"resize,hover\", title=\"US Unemployment (1948 - 2013)\",\n", " plot_width=900, plot_height=400)\n", "# remove axis and grid lines, remove major ticks, make tick labels smaller, set x-axis orientation to angled\n", "grid().grid_line_color = None\n", "axis().axis_line_color = None\n", "axis().major_tick_line_color = None\n", "axis().major_label_text_font_size = \"5pt\"\n", "axis().major_label_standoff = 0\n", "xaxis().major_label_orientation = np.pi/3\n", "#configure the hover tool to display the month, year and rate\n", "hover = [t for t in curplot().tools if isinstance(t, HoverTool)][0]\n", "hover.tooltips = OrderedDict([\n", " ('date', '@month @year'),\n", " ('rate', '@rate'),\n", "])\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", "
\n", "\n" ], "metadata": {}, "output_type": "display_data" } ], "prompt_number": 23 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Using R in IPython: Example of Bayesian Change Point Detection" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import rpy2\n", "%load_ext rpy2.ipython" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 33 }, { "cell_type": "code", "collapsed": false, "input": [ "##### A random sample from a few normal distributions #####\n", "#%R install.packages(\"bcp\")\n", "%R library(bcp)\n", "%R testdata <- c(rnorm(50), rnorm(50, 5, 1), rnorm(50))\n", "%R bcp.0 <- bcp(testdata)\n", "%R plot.bcp(bcp.0)\n", "%R legacyplot(bcp.0)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "text": [ "Loading required package: foreach\n", "foreach: simple, scalable parallel programming from Revolution Analytics\n", "Use Revolution R for scalability, fault tolerance and more.\n", "http://www.revolutionanalytics.com\n", "Loading required package: iterators\n", "Loading required package: grid\n", "Loading required package: Rcpp\n" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAYAAAB91L6VAAAEJGlDQ1BJQ0MgUHJvZmlsZQAAOBGF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\nioAioAgoAopAbiLwX6GGB6k3gSzxAAAAAElFTkSuQmCC\n" }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAYAAAB91L6VAAAEJGlDQ1BJQ0MgUHJvZmlsZQAAOBGF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\n" }, { "metadata": {}, "output_type": "pyout", "prompt_number": 34, "text": [ "\n", "[ndarray, ndarray, ndarray]\n", " mfrow: \n", " array([2, 1], dtype=int32)\n", " col.lab: \n", " array(['black'], \n", " dtype='|S5')\n", " col.main: \n", " array(['black'], \n", " dtype='|S5')" ] } ], "prompt_number": 34 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Can use ggplot within R within IPython as above, alternatively can use the ggplot stylesheet within matplotlib (see matplotlib example gallery)." ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "VisPY:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are many openGL based libraries for Python including visvis, galry, glumpy, and PyQtGraph. The developers from those projects all recently got together and started a single \"master\" python OpenGL visualization library. Vispy is under heavy development at this time and has limited examples and built-in plotting tools. Notably, Vispy now ships a very basic, experimental OpenGL backend for matplotlib. VisPy targets two categories of users:\n", "\n", "1. Users knowing OpenGL who want to create beautiful, fast, interactive 2D/3D visualizations in Python\n", "\n", "2. Scientists without any knowledge of OpenGL, who are seeking a high-level, high-performance plotting toolkit, because OpenGL utilizes the most efficient GPU acceleration. \n", "\n", "Vispy takes vector graphics directives or raw OpenGL commands and renders them in an OpenGL context. This context can either be a local window running natively, or they are starting work on an approach similar to Bokeh to plot things interactively in the web browser using WebGL.\n", "\n", "**Strengths:** Fast interactive rendering of many points (100k - millions) using OpenGL. Great for understanding time dynamics in data, since data can animate in real time.\n", "\n", "**Weaknesses:** new (but promising) framework born out of four other efforts at OpenGL plotting in Python. Rapidly evolving API. Buggy." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import time, sys\n", "from timeit import default_timer\n", "import numpy as np\n", "from vispy import app, use, gloo, scene\n", "from vispy.util.transforms import perspective, translate, rotate, ortho\n", "from vispy.geometry import create_cube\n", "from vispy.io import load_data_file\n", "from vispy.gloo import (Program, VertexBuffer, IndexBuffer, Texture2D, clear,\n", " FrameBuffer, DepthBuffer, set_viewport, set_state)\n", "\n", "#use('ipynb_static')\n", "use('ipynb_vnc')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " NOTE: this backend requires the Chromium browser\n" ] } ], "prompt_number": 6 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Game of Life:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "render_vertex = \"\"\"\n", "attribute vec2 position;\n", "attribute vec2 texcoord;\n", "varying vec2 v_texcoord;\n", "void main()\n", "{\n", " gl_Position = vec4(position, 0.0, 1.0);\n", " v_texcoord = texcoord;\n", "}\n", "\"\"\"\n", "\n", "render_fragment = \"\"\"\n", "uniform int pingpong;\n", "uniform sampler2D texture;\n", "varying vec2 v_texcoord;\n", "void main()\n", "{\n", " float v;\n", " v = texture2D(texture, v_texcoord)[pingpong];\n", " gl_FragColor = vec4(1.0-v, 1.0-v, 1.0-v, 1.0);\n", "}\n", "\"\"\"\n", "\n", "compute_vertex = \"\"\"\n", "attribute vec2 position;\n", "attribute vec2 texcoord;\n", "varying vec2 v_texcoord;\n", "void main()\n", "{\n", " gl_Position = vec4(position, 0.0, 1.0);\n", " v_texcoord = texcoord;\n", "}\n", "\"\"\"\n", "\n", "compute_fragment = \"\"\"\n", "uniform int pingpong;\n", "uniform sampler2D texture;\n", "uniform float dx; // horizontal distance between texels\n", "uniform float dy; // vertical distance between texels\n", "varying vec2 v_texcoord;\n", "void main(void)\n", "{\n", " vec2 p = v_texcoord;\n", " float old_state, new_state, count;\n", "\n", " old_state = texture2D(texture, p)[pingpong];\n", " count = texture2D(texture, p + vec2(-dx,-dy))[pingpong]\n", " + texture2D(texture, p + vec2( dx,-dy))[pingpong]\n", " + texture2D(texture, p + vec2(-dx, dy))[pingpong]\n", " + texture2D(texture, p + vec2( dx, dy))[pingpong]\n", " + texture2D(texture, p + vec2(-dx, 0.0))[pingpong]\n", " + texture2D(texture, p + vec2( dx, 0.0))[pingpong]\n", " + texture2D(texture, p + vec2(0.0,-dy))[pingpong]\n", " + texture2D(texture, p + vec2(0.0, dy))[pingpong];\n", "\n", " new_state = old_state;\n", " if( old_state > 0.5 ) {\n", " // Any live cell with fewer than two live neighbours dies\n", " // as if caused by under-population.\n", " if( count < 1.5 )\n", " new_state = 0.0;\n", "\n", " // Any live cell with two or three live neighbours\n", " // lives on to the next generation.\n", "\n", " // Any live cell with more than three live neighbours dies,\n", " // as if by overcrowding.\n", " else if( count > 3.5 )\n", " new_state = 0.0;\n", " } else {\n", " // Any dead cell with exactly three live neighbours becomes\n", " // a live cell, as if by reproduction.\n", " if( (count > 2.5) && (count < 3.5) )\n", " new_state = 1.0;\n", " }\n", "\n", " if( pingpong == 0) {\n", " gl_FragColor[1] = new_state;\n", " gl_FragColor[0] = old_state;\n", " } else {\n", " gl_FragColor[1] = old_state;\n", " gl_FragColor[0] = new_state;\n", " }\n", "}\n", "\"\"\"" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "class Canvas(app.Canvas):\n", "\n", " def __init__(self):\n", " app.Canvas.__init__(self, title=\"Conway game of life\",\n", " size=(512, 512), keys='interactive')\n", " self._timer = app.Timer('auto', connect=self.update, start=True)\n", "\n", " def on_initialize(self, event):\n", " # Build programs\n", " # --------------\n", " self.comp_size = (512, 512)\n", " size = self.comp_size + (4,)\n", " Z = np.zeros(size, dtype=np.float32)\n", " Z[...] = np.random.randint(0, 2, size)\n", " Z[:256, :256, :] = 0\n", " gun = \"\"\"\n", " ........................O...........\n", " ......................O.O...........\n", " ............OO......OO............OO\n", " ...........O...O....OO............OO\n", " OO........O.....O...OO..............\n", " OO........O...O.OO....O.O...........\n", " ..........O.....O.......O...........\n", " ...........O...O....................\n", " ............OO......................\"\"\"\n", " x, y = 0, 0\n", " for i in range(len(gun)):\n", " if gun[i] == '\\n':\n", " y += 1\n", " x = 0\n", " elif gun[i] == 'O':\n", " Z[y, x] = 1\n", " x += 1\n", "\n", " self.pingpong = 1\n", " self.compute = Program(compute_vertex, compute_fragment, 4)\n", " self.compute[\"texture\"] = Z\n", " self.compute[\"position\"] = [(-1, -1), (-1, +1), (+1, -1), (+1, +1)]\n", " self.compute[\"texcoord\"] = [(0, 0), (0, 1), (1, 0), (1, 1)]\n", " self.compute['dx'] = 1.0 / size[1]\n", " self.compute['dy'] = 1.0 / size[0]\n", " self.compute['pingpong'] = self.pingpong\n", "\n", " self.render = Program(render_vertex, render_fragment, 4)\n", " self.render[\"position\"] = [(-1, -1), (-1, +1), (+1, -1), (+1, +1)]\n", " self.render[\"texcoord\"] = [(0, 0), (0, 1), (1, 0), (1, 1)]\n", " self.render[\"texture\"] = self.compute[\"texture\"]\n", " self.render['pingpong'] = self.pingpong\n", "\n", " self.fbo = FrameBuffer(self.compute[\"texture\"],\n", " DepthBuffer(self.comp_size))\n", " set_state(depth_test=False, clear_color='black')\n", "\n", " def on_draw(self, event):\n", " with self.fbo:\n", " set_viewport(0, 0, *self.comp_size)\n", " self.compute[\"texture\"].interpolation = 'nearest'\n", " self.compute.draw('triangle_strip')\n", " clear()\n", " set_viewport(0, 0, *self.size)\n", " self.render[\"texture\"].interpolation = 'linear'\n", " self.render.draw('triangle_strip')\n", " self.pingpong = 1 - self.pingpong\n", " self.compute[\"pingpong\"] = self.pingpong\n", " self.render[\"pingpong\"] = self.pingpong\n", "\n", " def on_reshape(self, event):\n", " set_viewport(0, 0, *event.size)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "canvas = Canvas()" ], "language": "python", "metadata": {}, "outputs": [ { "javascript": [ "IPython.load_extensions(\"js/vispy\");" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "canvas.show()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "canvas.close()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }