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@LeslieK
Last active August 29, 2015 14:02
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Notes from Anatomy of Matplotlib 1 tutorial on youtube
{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"#%matplotlib inline\n",
"%pylab inline"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import matplotlib.pyplot as plt\n",
"import numpy as np"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Plotting Preparation"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.subplots (with a 's')\n",
"create a figure with a set of subplots already made\n",
"returns tuple (fig, ax)\n",
"fig, (ax1, ax2) = plt.subplots(12)\n",
"ax1.plot(x, y)\n",
"\n",
"plt.subplot (no 's')\n",
"returns a subplot axes positioned by the given grid definition\n",
"plt.subplot(211) produces a subaxes in a figure which represents the top plot in a 2 row x 1 col notional grid \n",
"(no grid actually exists, but conceptionally this is how the returned subplot has been positioned.)\n",
"ax = plt.subplot(nrows=2, ncols=2, 2) # returns axes in row 1, col 2\n",
"\n",
"ax.plot(*args, **kwargs) \n",
"plot (lines, markers) to the given axes (ax)\n",
"returns a list of lines plotted\n",
"ex: line1, line2 = ax.plot(x1, y1, color='g', marker='D', x2, y2, color='r', marker='x')\n",
"\n",
"fig.add_subplot\n",
"add a suplot to the figure\n",
"ax = fig.add_subplot(1, 1, 1) # create and add it\n",
"fig.add_subplot(ax2) # add a subplot that was previously created (?)"
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Plotting Preparation Examples"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure()\n",
"ax1 = fig.add_subplot(2, 3, 1)\n",
"ax2 = fig.add_subplot(2, 3, 6)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAEACAYAAABI5zaHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nwECEOwAY6P8AMLkTgAsC5/cAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x6728198>"
]
}
],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure()\n",
"ax3 = plt.subplot(223) # in a 2 x 2 grid, create plot in position (2, 1)\n",
"ax2 = plt.subplot(222, polar=True) # create plot in position (1, 2)\n",
"ax2.scatter([1, 2, 3], [1, 1, 1])\n",
"ax3.plot([1, 2, 3])\n",
"fig.add_subplot(ax3) # add the created subplot to the figure\n",
"fig.add_subplot(ax2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 7,
"text": [
"<matplotlib.axes.PolarAxesSubplot at 0x6996438>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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q7dq1S2MdhUIBPz8/jfXc3d11Cr7Ak+4WOzs7na5RhQMwYy1c7ayrWgsWLNAq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\numSQrgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x6999e48>"
]
}
],
"prompt_number": 7
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"autoscale -- autoscale the axis view to the data (toggle)\n",
"axes -- add an axis to the figure\n",
"axis - convenience method to get or set axis properties\n",
"cla - clear the current axes\n",
"clf -- clear the current figure\n",
"clim -- set the color limits of the current image\n",
"delaxes\n",
"locator_params\n",
"margins\n",
"figure -- creates a new figure\n",
"gca -- get the current axis\n",
"gcf -- get the current figure\n",
"gci -- get current image\n",
"..."
]
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Plotting Functions"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"array\n",
"mesh\n",
"chart\n",
"scatter\n",
"semilogs\n",
"spy\n",
"show\n",
"hist\n",
"hist2D\n",
"imshow\n",
"loglog\n",
"pic\n",
"...\n"
]
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Plot modifiers"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"annotate\n",
"arrow\n",
"axhline\n",
"colorbar\n",
"grid\n",
"hlines\n",
"legend\n",
"text\n",
"xlabel\n",
"ylabel"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure(figsize=(2, 1))\n",
"fig.gca() # needed for the pylab-inline to display anything\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAJcAAABZCAYAAAAzfba9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x66a85f8>"
]
}
],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure(figsize=plt.figaspect(.5)) # .5 as tall\n",
"fig.gca()\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x6b6e7f0>"
]
}
],
"prompt_number": 16
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Breakdown of a Figure"
]
},
{
"cell_type": "heading",
"level": 5,
"metadata": {},
"source": [
"Axes"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure()\n",
"ax = fig.add_subplot(111)\n",
"ax.plot([1, 2, 3, 4], [10, 20, 24, 30])\n",
"ax.set_xlim(0.5, 4.5)\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x67dd048>"
]
}
],
"prompt_number": 11
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Limits and Autoscaling"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Good -- setting limits after plotting is done (so matlab does autoscaling on other dim)\n",
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=plt.figaspect(0.5))\n",
"ax1.plot([-10, -5, 0, 5, 10, 15], [-1.2, 2, 3.5, -0.3, -4, 1])\n",
"ax2.scatter([-10, -5, 0, 5, 10, 15], [-1.2, 2, 3.5, -0.3, -4, 1])\n",
"ax1.set_ylim(bottom=-10)\n",
"ax2.set_xlim(right=25)\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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ERKQoNmkiKtCYMWPg4+ODwMBAdO/eHbdu3ZIdicihsEkTUYHatGmD06dP4/jx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\nD1b4adMSWUgwAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x6e00a58>"
]
}
],
"prompt_number": 19
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, ax = plt.subplots(1, 1)\n",
"ax.set_ylim(bottom=1000, top=500)\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x6aaa278>"
]
}
],
"prompt_number": 23
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Labels and Legends"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure()\n",
"ax = fig.add_subplot(111)\n",
"ax.plot([1, 2, 3, 4], [10, 20, 25, 30], label=\"Philadelphia\")\n",
"ax.plot([1, 2, 3, 4], [30, 23, 13, 4], label=\"Boston\")\n",
"ax.set_ylabel('Temp (deg C)')\n",
"ax.set_xlabel('Time')\n",
"ax.set_title('A Tale of Two Cities')\n",
"ax.legend()\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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6IFOh8eGjhw8fRkJCwhOv79mzB0eOHGnyF5HxOHkS8PcH7t8Hrlwx7SQAAO1b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\nYyIgIhK5/w9glpzzcaMfXgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x6917198>"
]
}
],
"prompt_number": 26
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Ticks, Tick Lines, Tick Labels and Tickers"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"tick - location of a tick label\n",
"tick line - line that denotes the location of the tick\n",
"tick label - text that is displayed at that tick\n",
"ticker - automatically determines the ticks for an Axis"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure()\n",
"ax = fig.add_subplot(111)\n",
"ax.plot([1, 2, 3, 4], [10, 20, 25, 30])\n",
"ax.xaxis.set_ticks(range(1, 5))\n",
"ax.xaxis.set_ticklabels([3, 100, -12, \"foo\"])\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x687fa58>"
]
}
],
"prompt_number": 27
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Subplots"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure(figsize(10, 5))\n",
"ax = fig.add_subplot(121)\n",
"ax.plot([1, 2, 3, 4], [10, 20, 25, 30], label=\"Philadelphia\")\n",
"ax.plot([1, 2, 3, 4], [30, 23, 13, 4], label=\"Boston\")\n",
"ax.set_title('A Tale of Two Cities')\n",
"ax.legend()\n",
"\n",
"t = np.linspace(0, 7, 25)\n",
"z = 2 * np.sin(t) + 5\n",
"ax = fig.add_subplot(122)\n",
"ax.scatter(t, z, label='Philadelphia')\n",
"ax.set_title(\"Observed Tide\")\n",
"ax.legend()\n",
"\n",
"fig.suptitle('A title for the whole figure')\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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UrFgRBwcHunTp8tj4e/XqRcWKFQHo06cPtWrV4sSJE4U/iEKUQKGhocyatYCU\nlPPExweRnLyP/v39SU9P164TFRUJvP7fV5YkJ3sTERGpXR4WFkaLFm05cKAlv/8+lqlTVxEQMLPQ\nMUj/Vbz9l1EkTgA2pWxY230tY5uMpcXqFmy7sE3fIYkioJRu/j0tjUbD999/T1xcHBEREXzzzTdY\nWVkBaE9GgDJlypCYmFjg9m7dukW/fv2oWrUq9vb2DB48WHuJ/ObNm1SpUiXP+q6urtqvIyMj+eqr\nr3BwcND+u3HjBjdv3sx3X1WrVs3TjqpVq+ZZt7Dxr1u3Dk9PT+0+Q0NDtTELIfJ35coVLCwaArnn\nWROUKsXt27e163h6NsLCYgmggNvY2ATSqJGXdvl3320lJWUAMBboTHLyBpYs+bbQMUj/Vbz9l9Ek\nTpBzUId7DWf/wP18/J+P+fDHD8nIyv/ynxD6NGXKFMzNzQkNDSU+Pp7169drxxJUqlSJqKioPOtH\nRv7vr8/q1aszdepU4uLitP8SExPp27dvvvu6fv269uvs7Gxu3LhB5cqVnyreyMhIhg8fzuLFi4mN\njSUuLo569erJuEIhCvDyyy+TkXEC+Ou/7+yndGkNLi4u2nU2b15BrVo/YWVVAUvLGrz3Xl+6du2q\nXZ7z9FjWQ1vNfOYn3HRB+q8nM6rEKVejyo04Pfw0l+9dptXaVkQ9iCr4Q0I8o2c5+RITE7GxscHO\nzo6oqCjmzJmjXdasWTMsLCxYuHAhGRkZ7Nixg5MnT2qXv/POOyxdupQTJ06glCIpKYm9e/c+9i+t\n06dPs3PnTjIzM5k/fz5WVlY0bdr0qeLNfXTZ2dmZ7OxsVq9erR1cKoR4vFq1arFw4WysrJpQtmxN\n7OyG8sMPgVhaWmrXqVSpEn/+eYKrV89z714Mn38ekGcbAwcOwNo6EI3mC2ALNjb9GT9+jE7ik/5L\n94wycQJwLOPID/1/oEPNDjRe0ZhD4Yf0HZIwUQ//5ffPeUUe91fh9OnTOXPmDPb29nTp0gU/Pz/t\nuqVKlWLHjh2sWbMGJycntm7dip+fn/azXl5erFixgjFjxuDo6EitWrVYt25dvvvSaDR069aN7777\nDkdHRzZu3MiOHTswNzd/bFvyi//ll19m/PjxNGvWjIoVKxIaGkqLFi2e4igJUXK9/fZQYmIiOXVq\nLzEx4fmeOxqNhkqVKmFra/vIMldXV06cCKJv3zDatt3GokUTmDDhQ53EJv2X7um9yK8uHLx6kEE7\nBzG2yVhVjZAIAAAgAElEQVQmtZiEmcZo80GTJ0UydWvGjBmEhYWxfv36Yt2vFPkVJZH8TOiWsfZf\nJpFhtH6hNSffOcnev/fSbUs34lLi9B2SEMVCOnEhhLEy1v7LJBIngKp2VTnif4SaDjXxWu7Fmegz\n+g5JiCL3PGUShBBCn4y1/zKJW3X/FPhnIKP2jeLz1z/n7YZvG+U3xlTJpW7TILfqREkkPxOm4Xn7\nL5NMnAAu372M31Y/GlVuxJJOS7C2tNZbLOJ/9P1zIXRDEidREsnPhGmQMU6P8aLzi/z+9u9kZmfS\nbGUz/r73t75DEkIIIYSRM9nECXJmG1/fYz0jvUbSfFVzdlzcoe+QhBBCCGHETPZW3T+djDpJ78De\n9Hq5F1+0/gJLc8uCPyR0ztB+LsSzkVt1oiRydHQkLk6e2jZ2Dg4OxMbGPvJ+iR/jlJ97yfcYtHMQ\nSelJbOm1hcq2Tzetu3h+hvhzIZ6eJE5CCFNT4sc45cfJ2om9A/bS9oW2NFreiCMRR/QdkhBCCCGM\nSIlKnADMNGZM85nG2u5r6betH7ODZ5OtsvUdltAzNzc3rK2tsbW1xdHRkc6dO3Pjxo3n2qaZmRlX\nr17VUYRCCCEMQYlLnHK1dW/LyXdOsuvyLnp814P7qff1HZLQI41Gw549e0hISCA6OhoXFxfGjh37\n3NuVWz1CCGFaSmziBFDNvhpBbwbhau+K13Ivzkaf1XdIwgCULl0aPz8/Lly4AEB8fDxDhgyhQoUK\nuLm5MXPmTG1CFBYWho+PD+XKlaN8+fL0798fgJYtWwLg4eGBra0tgYGBAKxYsYJatWrh5OREt27d\niI6O1u7XzMyMZcuWUbt2bRwcHBgzRjfV0YUQQuhOiU6cAEqZl2Jhh4XMfH0m7Ta0Y+WZlfoOSehJ\nbjKUnJzMd999R7NmzQAYO3YsCQkJhIeHExQUxLp161i9ejUA06ZN44033uD+/ftERUVpr1IdPXoU\ngPPnz5OQkEDv3r05dOgQU6ZMITAwkOjoaFxdXenXr1+eGPbu3cupU6c4f/48W7du5ccffyyu5gsh\nhCiEEvVUXUEu3rmI31Y/mlZtyuKOiyljWUbfIZmcgn4uNDN0Ux5HTX+6nz03Nzfu3buHhYUFSUlJ\nVKhQgQMHDlCnTh2sra0JCQnhpZdeAmD58uVs3ryZw4cP4+/vj5WVFZ988glVqlTJs00zMzPCwsJ4\n4YUXABg2bBjly5dn1qxZACQlJeHg4EBYWBjVq1fHzMyM4OBgXnvtNQD69u1Lw4YNmThx4vMeDp2T\np+qEEKamsOe8RTHEYjTqlK/DiXdOMPyH4TRb2YxtfbZR07GmvsMqUZ424dEVjUbD999/z+uvv45S\nil27duHj48PZs2fJyMjA1dVVu2716tWJiooC4Msvv2TatGk0adIEBwcHxo8fz9ChQ/PdR3R0NI0a\nNdK+trGxwcnJiaioKKpXrw5AxYoVtcutra1JTEwsiuYKIYR4RiX+Vt0/lS1Vlo09N/JOw3d4beVr\n7Lq0S98hiWKm0Wjo0aMH5ubmHD9+HEtLSyIiIrTLr127RtWqVQFwcXFh+fLlREVFsWzZMkaNGvXY\nJ+kqV66cZztJSUncu3fvkStVQgghDJckTvnQaDSMbjKaH/r/wLgD45j4n4lkZmfqOyxRxHIv0Sql\n+P7777l//z7169enT58+TJ06lcTERCIjI5k3bx6DBg0CIDAwUDttQbly5dBoNJiZ5ZxWLi4uXLly\nRbv9/v37s3r1akJCQkhLS2PKlCk0bdpUe7XpcfEIIYQwHJI4PcGrVV/l9PDTnLt1jjbr2hCTGKPv\nkEQR6tKlC7a2ttjb2zNt2jTWrl1LnTp1WLRoETY2Nrzwwgt4e3szcOBA3nrrLQBOnTpF06ZNsbW1\npVu3bixcuBA3NzcAAgIC8Pf3x8HBgW3bttG6dWs+/fRT/Pz8qFy5MuHh4WzZskW7f40m7/gujUbz\nyHtCCCH0SwaHF0JWdhafHv2UFWdWsNlvMy1dW+o7JKNlSj8XJZkMDhdCmBqdlFy5fv06rVq1om7d\nutSrV4+FCxcCOX9JV61aFU9PTzw9PTlw4IBuojZQ5mbmBPgGsLLrSvoE9mHur3OlQxXCiF2+fFnb\nf3l6emJvb6/t34QQ4kmeeMUpJiaGmJgYGjRoQGJiIl5eXuzatYutW7dia2vLhx9++PgNm+hfa9fi\nr9E7sDeVbSuzptsa7K3s9R2SUTHVn4uSxpSuOGVnZ1OlShVOnDhBtWrVtO8bY1uEEM9OJ1ecKlas\nSIMGDQAoW7YsderU0T6GXVI7lOr21Tn65lGq2Fah0YpGhMSE6DskIcRz+Pnnn3F3d8+TNAkhxOMU\nenB4REQEZ8+epWnTpgAsWrQIDw8Phg0bxv37JavOW2mL0nzT8Rtm+M6gzfo2rDm3Rt8hCSGe0ZYt\nWxgwYIC+wzBou3fvpl695tSs6cUXX8hQBVGyFWpweGJiIr6+vvzrX/+ie/fu3L59m/LlywM5JSei\no6NZuTJvqZKScpn7z9t/4rfVD+/q3izquAgrCyt9h2TQSsrPhakzlVt16enpVKlShQsXLmj7tFzG\n1paiEhQURMeO/UhOXgE4Ym09hmnTBjBp0kfadY4ePcrQoWO5fTuaZs1asGnTcpydnfUXtBDPQGcz\nh2dkZODn58egQYPo3r07ABUqVNAuf/vtt+nSpUu+nw0ICNB+7evri6+vb4EBGZu6Fepy8p2TvP3D\n27y28jW29dnGCw4v6DssIYrFkSNHOHLkiL7DeGb79+/Hy8vrkaQpV0nowwqyfn0gyckfA50BSE5e\nxMqV47SJU0REBB07+pGU9C3QhCNHPqdLl/789tt/9Be0EIXwrP3XE684KaXw9/fHycmJefPmad+P\njo6mUqVKAMybN4+TJ0+yadOmvBsuYX+tKaVYdGIRnx39jJVdV9LlxfyTyZLO0dGRuLg4fYchnpOD\ngwOxsbGPvG9s532/fv3o0KED/v7+jywztrYUlXHjPmLRotIoNfO/7+ymfv0vOX8+GIC1a9cyevSP\nJCXl/g7IwtzcmsTEeKys5Aq8MB6FPeefmDgFBwfTsmVLXnnlFe1EfJ9//jmbN2/m3LlzaDQaatSo\nwbJly3BxcXmmAEzNb9d/o++2vgysP5BPX/8UCzMpB6hvSUnw1VewcCH4+8PUqeDoqO+oTJMxnfdJ\nSUm4uroSHh6Ora3tI8uNqS1F6cqVK3h6vkZi4jCUcqRMmbl8990K7Z2G77//nkGDZpGY+As5w2bD\nKVWqPikpD7Sz6AthDHSSOBVHAKboTtIdBuwYQFZ2Fpv9NuNS1qXgDwmdy8yE1ashIAB8fGDmTKhR\nQ99RmTZTOu9NqS3P68qVKyxatJTk5FQGDepNy5b/mwQ4IyOD5s3b8eefpUhJaUSZMhuZOfMj3n9/\njB4jFuLpSeKkZ1nZWcwImsGqs6vY0msLLaq30HdIJYZSsG8fTJwIzs4wZw40bqzvqEoGUzrvTakt\nRS0tLY1169Zx82Y0LVo0p3Xr1voOSYinJomTgdj/937e/P5NJjafyAdNP5DaY0Xs9Gn4+GOIiYHZ\ns6FzZ5BDXnxM6bw3pbY8SUZGBu+/P4mNGzdTqpQVn302heHD39Z3WEIUO0mcDEjE/Qh6B/bG1d6V\nVd1WYVfaTt8hmZyICPjXv+DQoZxbc2+9BRYyvKzYmdJ5b0pteZKPP/4XS5b8SnLySiAWa2s/vvvu\nGzp37qzv0IQoVjqZOVzohls5N4KHBlPeujyNljfij1t/6DskkxEXl3OFycsLataEv/6C4cMlaRKi\nsHbs2Edy8iygBuBFcvKH7NixT+f7CQ8PZ9++fVy+fFnn2xaiOEniVExKW5Tm353/zSc+n/D6utdZ\nF7JO3yEZtbQ0mDcPXnwR4uMhNDTnSlPZsvqOTAjjUq6cPXBV+9rC4ipOTrqtwbl27Xrq1m3CgAEL\n8PRsyezZX+t0+0IUJ7lVpweht0Px2+qHr6svCzoskNnGn4JS8N13MGUK1K0Ls2bl/C8Mgymd96bU\nlic5evQoHTr4kZbmj7l5LPb2BwkJOa6dq+95xcfHU7GiK6mpvwF1gCisrBoQGnocd3d3nexDCF2Q\nW3UGrF6Fepx85ySxqbG0WNWC8LhwfYdkFI4ehVdfhblzYeVK+OEHSZqEeF4tW7bk998PExDgwOef\n1yU09KTOkiaAmzdvYmlZgZykCaAKpUvXITIyUmf7EKI4yRUnPVJKseD3BXwR/AWruq6iU+1O+g7J\nIF28CJMmQUgIfP459OsHMq+eYTKl896U2qJPycnJVKxYg4SEDUBb4DTW1u35++/zVK5cWd/hCaEl\nV5yMgEaj4f2m77Ojzw5G7h3Jvw79i6zsLH2HZTBiYmDkSGjZMuffpUswYIAkTUIYE2tra374YSt2\ndoOwsalOmTJtWL9+hSRNwmjJFScDcTvpNv2390eDhk1+m6hgU6HgD5koKZFivEzpvDelthiCtLQ0\nbt68ScWKFSlTpoy+wxHiEXLFychUsKnAT4N+4tUqr+K13Itfr/+q75CKXWYmrFgBtWvnXF06eTIn\ngZKkSQjjV7p0aWrUqCFJkzB6csXJAO35aw/Ddg9jcovJjHt1nMnPNi4lUkyHKZ33ptQWIUTBZOZw\nIxceF06vwF64O7izsutKbEs/Wr3dFOSWSImOhi+/lBIpxs6UzntTaosQomByq87I1XCowS9v/YKD\nlQONVzTmz9t/6jsknYqIgEGDoEsX6NsX/vgj52tJmoQQQhgySZwMmJWFFcu6LGNyi8n4rvVl58Wd\n+g7pueVXImXECCmRIoQQwjhI4mQE/Bv48+OgHxmxZwQHrx7UdzjPREqkCKEfKSkpjB49npdeepU2\nbbpLrTghnpOMcTIiQRFB9ArsxYGBB/Cq7KXvcApFSqSULKZ03ptKW7p1689PP6WRmvoRGs0J7O2/\n5NKls7i4uOg7NCEMigwON1E7L+5k9L7RBL0ZRC2nWvoO54mOHoWPPoLs7Jwn5Vq10ndEoqiZ0nlv\nCm1JS0vDxsaOrKz7QM40AGXL+rF0aU8GDhyo3+CEMDCFPedlZImR6VGnB3eT7/LGxjcIHhpMJVvd\n1ZTSFSmRIoRhMDc3/+90JknkJk7wgFKlSukxKiGMm/w6M0LveL3D0AZD6bCxA/Gp8foOR0tKpAhh\nWCwsLBg9ehzW1m8A31Kq1AicnW/SsWNHfYeWh1KKNWvW0aXLAIYNGy0FgIVBk1t1Rkopxdj9Ywm9\nHcqBQQewsrDSWyxSIkXkMqXz3lTaopTi229X8Z//BOPqWokpUz7GwcFB32Hl8cUXc/jsszUkJ0/E\n3PwydnZruHDhNBUrVtR3aKIEkTFOJUBWdhYDdgwgIyuDwN6BmJuZF+v+MzNh9eqcp+Natsy5LVej\nRrGGIAyMKZ33ptQWQ1euXGXi4w8BLwFQuvRQZs9uwLhx4/QbmChRZALMEsDczJx13dfxIO0Bo/aO\nKrZOXinYuxcaNICNG2HXLti8WZImIcSzycrK5H9jsCA7uwyZmZn6C0iIJ5DEyciVtijNzr47OR19\nmulHphf5/k6fhtatc56W++ILOHxY6soJIZ7PsGFDsbYeCBwE/k3p0tvo0aOHvsMSIl9yq85E3E66\nTfNVzXn/1fcZ3WS0zrcfEZEzdunwYZg+HYYNk9m+xaNM6bw3pbYYuqysLGbO/JIdOw7g7OzA3LkB\nNGjQQN9hiRJGxjiVQOFx4Xiv9ubr9l/Tp24fnWwzLi5n7NKqVTB2bM6VJpntWzyOKZ33ptQWIYxJ\ncnIyq1at4vbtO7z+eit8fX2LZb8yxqkEquFQg70D9jJm35jnLs0iJVKEEEIUt5SUFBo39mXChP/w\n2WfZdOo0hOXLv9V3WHnIFScT9DylWaREingepnTem1JbhDAWGzduZMSINSQl/QRogAuULduShIS7\nRb5vueJUgvm4+bC883K6bO7C3/f+LvTnjh6FV1+FuXNh5Ur44QdJmoQQQhSf+Ph4srPdyEmaANxI\nSUkwqD9iZHiviXqa0ixSIkUIIYQhaN26NRrNdKA74EGpUp/g49Pxv6WDDIP8ejRhBZVmebhEire3\nlEgRQgihXy+++CK7d2/BzW0ydnaN6dAhjcDANfoOKw8Z42Ti8ivNIiVSRFExpfPelNoihCiYTEcg\ntHJLs6RnZvDGg0D+b4a5lEgRRcKUzntTaosQomCSOAktpeD7PWkM2t8Ju0x3dr29lCZNDOd+sTAd\npnTem1JbhBAFk6fqBPC/EimTJ5RmZbudVG50mj1JRV+aRQghhDBFkjiZqIgIGDgQunSBvn3hjz+g\nb3db9g3cx+bQzSw+sVjfIQohdCA5OZlPPvk/evYcwuzZc8nIyNB3SEKYNLlVZ2IKUyKlKEqzCAGm\ndd4bQ1syMzN57bW2/PFHeVJTO1CmzBZaty7H7t1bDOrxbSGMQWHPeZnHyUSkpcGSJfDFF9C9e06J\nlEqPmboptzRL2/VtcSrjROsXWhdvsEIInTh9+jQXL94iNfUgYEZKSn9+/rkaN27coFq1avoOTwiT\n9MRbddevX6dVq1bUrVuXevXqsXDhQgBiY2Np27YttWvXpl27dty/f79YghWPUgq2bIE6deDQITh8\nGJYvf3zSlMujogeBvQPpt70fp2+eLp5ghTAg9+/fp1evXtSpU4eXX36Z48eP6zukp5aRkYFGY83/\nuvJSmJmVltt1QhShJ96qi4mJISYmhgYNGpCYmIiXlxe7du1i9erVODs7M2HCBGbPnk1cXByzZs3K\nu2EjuMxt7I4ezbkVl50Nc+ZAq1ZPv42dF3cyet9ogt4MopZTLd0HKUoUYzrv/f398fHx4a233iIz\nM5OkpCTs7e21y42hLSkpKdSp40VUVHcyMztRqtQ66ta9wKlTQZjJTLZCPJUimY6ge/fujBkzhjFj\nxhAUFISLiwsxMTH4+vpy6dKlZwpAPD1dl0hZcXoFs36ZVWBpFiEKYiznfXx8PJ6enly9evWx6xhL\nW6Kjoxk16mMuXQrDy+sVFi2ajYODg77D0rkHDx5w6NAhNBoNrVu3puw/B28K8Zx0njhFRETg4+ND\naGgo1atXJy4uDsiZmdrR0VH7+mkDEIUXEwMBAbB9O0ycCGPGgJWVbrb92dHP2HZhG0FvBmFvZV/w\nB4TIh7Gc9+fOnWPEiBG8/PLLhISE4OXlxYIFC7C2ttauYyxtKQlu3rxJ48Y+JCS4AdmUKxfFyZM5\nf7wLoSs6nccpMTERPz8/FixYgK2t7SM7kqc3it7atVCvHtjYwOXLObfodJU0AUz1nkqL6i3otqUb\nqZmputuwEAYoMzOTM2fOMGrUKM6cOYONjc0jww2E4fj44+ncvt2LhIT/kJBwkOjojkye/H/6DkuU\nUAU+VZeRkYGfnx+DBw+me/fuANpbdBUrViQ6OpoKFSrk+9mAgADt176+vvj6+uok6JJmxw6YPBmO\nHcsZBF4UNBoNC95YwIAdAxi4YyBbe23F3My8aHYmTMaRI0c4cuSIvsN4alWrVqVq1ao0btwYgF69\neuWbOEkfZhiuXr1OZmZ37evMzBaEh6/VY0TCFDxr//XEW3VKKfz9/XFycmLevHna9ydMmICTkxMT\nJ05k1qxZ3L9/XwaHF5GgIOjdGw4cgIYNi35/aZlpdNrUCXcHd5Z2XipXE8VTMabzvmXLlnz77bfU\nrl2bgIAAUlJSmD17tna5MbXF1E2ZEsD8+SdISdkGKKytezBhgi/Tp0/Rd2jChOhkjFNwcDAtW7bk\nlVde0f4C/eKLL2jSpAl9+vTh2rVruLm5sXXrVsqVK/dMAYjHCwmBtm1zpht4/fXi229CWgKt1rai\nY62O/F8ruRwuCs+YzvuQkBDefvtt0tPTcXd3Z/Xq1Ub3VF1JkZ6eTv/+b7F793YAevbsy4YNK7C0\ntNRzZMKUSJFfI3f1Knh7w/z5OVecitvtpNs0X9Wc9199n9FNRhd/AMIomdJ5b0ptMRWJiYloNBps\nbGz0HYowQTJzuBG7fRvat4epU/WTNAFUsKnAT4N+wnu1N+VtyktpFiGE3skUBMIQyAxpBiYhATp0\ngAEDYNQo/caSW5plzL4xHLx6UL/BCCGEMAn79++nadP2eHm9zurVxjfIX27VGZC0NOjUCdzdYelS\nMJRx2UERQfQO7M2BQQdoWKkYRqgLo2VK570ptUUIQ3Ho0CE6dx5ASsoiwBpr63F88800hg7113do\nMsbJ2GRl5VxlysyErVvB3MBmAsgtzXJ06FFqOtbUdzjCQJnSeW9KbRHCUPTpM5TAwMZA7i2VfXh6\nzuHMmcP6DAuQMU5GRSkYNy5nbNP+/YaXNAH0qNODu8l3ab+hvZRmEUII8UxKl7YEkh96JxkLC+NK\nRYwrWhM1cyYEB+fM2aTL2cB17R2vd7iVdIsOGztIaRYhhBBP7YMPRrJjR3uSkwFssLb+P6ZP/1bf\nYT0VuVWnZ8uXw+zZOYlTJSO4iKOUYuz+sYTeDuXAoANYWRhwpieKnSmd96bUFiEMyZkzZ/j663+T\nnp7JiBGDaN26tb5DAmSMk1HYsSOnUO/Ro1DTiIYNZWVnMWDHADKzM6U0i8jDlM57U2qLEKJgOi3y\nK3QvKAhGjoQ9e4wraQIwNzNnXfd1xKfGM2rvKPnlIoQQosSQxEkPQkJyJrbcsqV46s8VhdIWpdnZ\ndyeno08TcCRA3+EIIYQQxUISp2J29Sp07AiLFxdv/bmiYFvaln0D97EpdBNLTi7RdzhCCCFEkZOn\n6oqRIZRS0bWHS7M4WztLaRYhhBAmTa44FRNDKqWia1KaRYiidffuXcLCwsjMzNR3KEKUeJI4FYO0\nNOjRAxo1goAAfUdTNDwqehDYO5D+2/tzJvqMvsMRwmR8/PG/qFLFnQYN2vDCC/W4evWqvkMSokST\nxKmIZWXBkCFgbw9LlhhO/bmi4OPmw7LOy+i8qTNhsWH6DkcIo7d3717+/e/tpKdfISkpgqiot+nd\ne6i+wxKiRJMxTkXIGEqp6JqUZhFCd0JCQkhN7Qo4A5CdPZSLFz/Tb1BClHByxakI5ZZS2bXLsEup\n6No7Xu8wtMFQOmzsQHxqvL7DEcJoubu7Y2V1CEj57zv7qFbNXZ8hCVHiyczhRcTYSqnompRmKZlM\n6bw3hLZkZ2fTt+9Q9u0LwtKyOhpNGIcO7cXT01OvcQlhiqTkih4ZaykVXZPSLCWPKZ33htIWpRTn\nzp0jLi4OT09PHBwc9B2Swbpz5w4PHjzA1dUVCwsZiSKejiROehIUlDNH04EDxjsruC6lZabRaVMn\n3B3cWdp5KRpTHh0vTOq8N6W2mDqlFO+/P5GlS5dhaVkOZ+eyBAXtw9XVVd+hCSMiter0ILeUyubN\nkjTlyi3Ncir6lJRmEUIUiV27drFy5X7S0yNISorgxo2B9Ov3tr7DEiZKEicdebiUSuvW+o7GsNiW\ntmX/wP1SmkUIUSTOnQshObk74ABoyMoaSmhoiL7DEiZKEicdMMVSKrqWW5rl82Ofs/XPrfoORwhh\nQmrWdMfa+iCQ+t939uHqKk8fiqIhY5yeU0IC+PpC584wY4a+ozF8ITEhtF3fls1+m2n9glyaMzWm\ndN6bUltMXXZ2Nj17DuLnn49jYVEFM7NwgoL2U79+fX2HJoyIDA4vBmlp0KkTuLvD0qWmPSu4LgVF\nBNE7sDcHBh2gYSUZDGZKTOm8N6W2lARKKc6ePUt8fDyenp6UK1dO3yEJIyOJUxHLysop2JuZCVu3\nloxZwXVp58WdjN43mqNDj1LTsQTP2WBiTOm8N6W2CCEKVthzXia6eAYlsZSKrklpFiGEEMZIBoc/\ng5JaSkXXpDSLEEKYluzsbGbN+op69ZrTtGk7goKC9B2SzsmtuqdU0kup6JqUZjEtpnTem1JbhCgu\nM2Z8zpdf7iA5eS5wE2vrcQQH/2QUZYJkjFMRkFIqRUNKs5gOUzrvTaktQhSXqlXrEBW1CchNlKbz\n0UfpzJnzhT7DKhSZOVzHgoJg5EjYs0eSJl0zNzNnXfd1xKfGM2rvKPllJYQQRsrCwhJI0L42N0/A\nyqqU/gIqApI4FYKUUil6UppFCCGMX0DAR1hbDwaWotF8go3NJoYNG6rvsHRKnqorgJRSKT65pVma\nr2qOS1kXRjUepe+QhBBCPIU33xyCs7MjGzbsxN7ehgkTfsHNzU3fYemUjHF6gtu3oXlz+OADGCW/\nw4tNeFw43qu9+br91/Sp20ff4YinYArnfS5TaosQomAyj9NzSkiADh1yJrmUpKl41XCowd4Be2m7\nvi1OZZykNIsQQgiDIVec8iGlVAyDlGYxPsZ83v+TKbVFCFEwmY7gGUkpFcMipVmMi7Ge9/kxpbYI\nIQqms+kI3nrrLVxcXPJUmQ4ICKBq1ap4enri6enJgQMHni9aA5FbSuXWLdi4UZImQ9CjTg9m+M6g\n/Yb2RCdE6zscYULc3Nx45ZVX8PT0pEmTJvoORwhhJAq84nTs2DHKli3LkCFD+OOPPwCYMWMGtra2\nfPjhh4/fsBH+tfbZZ7BtW86cTfb2+o5GPOyzo5+x7cI2gt4Mwt5KvjmGypjO+xo1anD69GkcHR3z\nXW5MbRFCPD+dXXHy9vbGwcHhkfdNrUNZvhxWr84p2itJk+GZ6j2VFtVb0G1LN1IzU/UdjjARhtCP\n3bt3j7Vr17JmzRru3Lmj73CEEAV45gkwFy1ahIeHB8OGDeP+/fu6jKnY7dgBAQHw449Sf85QaTQa\nFryxAJeyLgzcMZCs7Cx9hySMnEajoU2bNjRq1IgVK1boJYbr16/z0kuejB79A2PG7KVOnYZERETo\nJRYhROE8U+L07rvvEh4ezrlz56hUqRLjx4/XdVzFRkqpGA8pzSJ06ZdffuHs2bPs37+fxYsXc+zY\nsWKPYcqUT4mL8ycpaRtJSYHcvz+cCRMCij0OIUThPdM8ThUqVNB+/fbbb9OlS5d81wsICNB+7evr\ni2A++K8AACAASURBVK+v77PsrshIKRXjk1uaxXetLwFHApjRaoa+QyrRjhw5wpEjR/QdxjOp9N/L\ny+XLl6dHjx6cOHECb2/vPOsUdR92/fotsrLe0L7OyvLkxo1fdboPIUT+nrX/KtR0BBEREXTp0kU7\nODw6Olrb6cybN4+TJ0+yadOmvBs28IGVV6+CtzfMn5+TPAnjcjvpNs1XNeeDph9IaRYDYujnfa7k\n5GSysrKwtbUlKSmJdu3aMX36dNq1a6ddpzjaMmfOPAICtpOcvAsww9q6B5Mnd+Rf/5pYpPsVQjxK\nZzOH9+/fn6CgIO7evUu1atWYMWMGR44c4dy5c2g0GmrUqMGyZct0EnRxuX0b2reHqVMlaTJWFWwq\n8NOgn/Be7Y2ztbOUZhFP5datW/To0QOAzMxMBg4cmCdpKi7jx48jPPwaK1ZUA2DAgLeZPPmjYo9D\nCFF4JW4CzIQE8PWFzp1hhtzlMXohMSG0Xd+WzX6bpTSLATDU8/5ZFGdbsrOzATAze+bndUQhxMTE\ncP36ddzd3R87DYUouXQ2HYEpSUuDHj2gUaOcp+iE8fOo6EFg70D6b+/Pmegz+g5HiGdiZmYmSVMR\n+/e/l1Ojxsu0aTOC6tVrs3//fn2HJIxUibniJKVUTJuUZjEMhnbePw9TaktJd+XKFerXb0pKynHA\nHfgFG5uu3LlzgzJlyug7PGEg5IrTQ6SUiumT0ixCiMf5+++/KVWqATlJE0BzwJabN2/qMSphrEpE\n4jRzJgQHw/ffg5WVvqMRReUdr3cY2mAoHTZ2ID41Xt/hCCEMRK1atUhPPwdc/e87vwIJVK5cWY9R\nCWNl8omTlFIpWaQ0ixDin9zd3Zk7dyZWVo2ws/PCxqYrgYEb5DadeCYmPcZpxw4YMwaOHpVZwUuS\nrOwsBuwYQGZ2Jlt7bcXcTO7NFhdDOO91xZTaInJER0dz/fp1atasKU/ViUcU9pw32cQpKChnjqYD\nB2RW8JIoLTONTps64e7gztLOS9FoNPoOqUTQ93mvS6bUFiFEwUr04HAppSJyS7Ocij5FwJEAfYcj\nhBDCRJhc4nT1KnTsCIsXQ2uZD7FEsy1ty/6B+9kUuoklJ5foOxwhhDB6KSkpjB37MR4eLenefSDX\nrl3Td0jFzqRu1d2+Dc2bwwcfwCgpXyb+KzwuHO/V3nzd/mspzVLETOn2lim1RQhdeeONngQFmZGa\nOhpz86M4O6/l8uWz2JvA01clboxTbimVTp3g//6v2HYrjISUZikeppRsmFJbhNCFBw8e4OxcmYyM\nWKAUALa2bdmwYSxdu3bVb3A6UKLGOD1cSkXqz4n8SGkWIYR4PmZmZiiVDaT/9x0FpGJewmaVNvrE\nKSsLhgzJmaNpyRKQh6fE4/i4+bCs8zI6b+pMWGyYvsMRQgijUrZsWfr1G4j1/7d351FRXPkewL/d\ngkqLAUVZVBIQFxZRGo3kGXkBZBERx4WoIILLMEaNSTyZp3F8ZzSOcUlcYhKT8TkZdyXGGHeJIqBG\nRYPLRCOaxGACihh1QGSxobveHwgTIkgJ3V3VxfdzTp8j3XX6fuviLX5ddfuWZiiAzWjZ8hU4Ot5H\nSEiI1NHMykrqAE3x21uppKTwVirUsBFeI3Cn9A4iNkfgxKQTcLZ1ljoSEZHFWL/+7+jd+wMcPbof\n3bq5Yt68jGa3kKhFz3FauBDYsaNqzSYFzEsjM1p4bCF2XN6BtMQ0tLfhQnjGoqR5QUraFyJqmOLn\nOPFWKtQUcwPnIrRrKEI3huJe2T2p4xARkYWwyDNOvJUKGYMgCJidOhuHfzqM1PGpcNA4SB3J4inp\nLI2S9oWIGqbYM05HjwKvvALs28eiiZpGpVJhaehSDPYYjJCNIbhTekfqSEREJHMWVTjxVipkbCqV\nCosGLcLQ7kMRsiEEv5b8KnUkIiKSMYspnHgrFTIVlUqFhSELMdxzOII3BKPgQYHUkYiISKYsonC6\nfRuIiADmzq0640RkbCqVCguCFyDGOwbBG4Jx68EtqSMREZEMyb5wKi4GIiOB2Fjef45Mb37QfIzt\nNRbBG4KRX5wvdRwiIpIZWX+r7uHDqnvPeXgAf/87VwUn83nn2DvY9O0mpCWmoVPbTlLHsRhK+iaa\nkvaFiBpm8Tf51euBuDigshLYvp2rgpP5LT6+GOsurEN6Yjo6P9NZ6jgWQUnFhpL2hYgaJnbMy/KW\nK7yVCsnBnMA5aKFugaANQUhPTEeXZ7pIHYmIiCQmy8LpnXeAr7+uWrOpdWup01BzNuvFWVCr1Aha\nX1U8udq5Sh2JiIgkJLvJ4byVCsnNnwf8GdOfn46gDUH4ufBnqeMQkQmUlpZi6tSZ8PQMQHj4SPz4\n449SRyKZktUcJ95KheRsVeYqvH/6faQnpsPN3k3qOLKkpHlBStoXalhkZAwyMtQoL38DavVJtGu3\nClevXoCDA2/F1FxY3OTwo0eBmJiqOU19+5oiEVHTfXj6Qyw/tRzpielwb+cudRzZUVKxoaR9oScr\nKSmBvX0HVFYWAmgFAGjbNhqffpqAl7l4YLNhUZPDq2+lkpzMoonkbUbAjFoTxru26yp1JCJqIisr\nq0d/MEtRVTgJAIrRsmVLaYORLEk+x4m3UiFLM+35aZgzcA6C1gfhx3ucB0Fk6Vq1aoWkpFeg0UQC\n+CdatkyCo+O/ERYWJnU0kiFJL9Xdvg28+CIwcyZXBSfL839n/w9/O/Y3pCWkobtDd6njyIKSLm8p\naV+oYQaDAWvWrEVq6kl4eHTBX/7yP7C3t5c6FpmR7Oc4FRcDQUFVK4MvWGCKBESm9+m5TzEvYx6O\nJBxBzw49pY4jOSUVG0raFyJqmKznOD18CIwYAfTrB7z9thQJiIxjsv9kqFVqDNo4CKkJqfDs4Cl1\nJCIiMiGzz3HS64GEhKo1mj7+mPefI8s3UTsR74S8g0EbByH712yp4xARNdqJEyfg6uoJa+vW8PMb\niJycHKkjyY5ZL9UJAjBjBnDpUtWyA1wVnJRk87ebMevwLBwefxg+jj5Sx5GEki5vKWlfiMS4desW\nunfvjQcP/gFgENTqj+Hquh4//XQRarXk3yUzObFj3qw9UX0rld27WTSR8sT3jsey8GUI2xSGS7cv\nSR2HiOipZGVlQa32BzAMQBsYDP+D27fvIj8/X+posmK2OU7Vt1L5+mveSoWUK843DmqVGmGbwvBV\n/Ffo7dRb6khERKI4ODhAr78GoBxAawA3oNc/gB3/aNfS4BmnSZMmwcnJCb6+vjXP3bt3D2FhYejR\nowfCw8NRWFj4xPfYuROYPx/46ivAxaXJmYlkbWyvsVg1eBXCN4Xjwq0LUsehJ9Dr9dBqtYiOjpY6\nCpHkXnjhBYSHB6BNm4Fo2fJ1aDQDMX/+fNja2kodTVYanON0/Phx2NraIiEhARcvXgQAzJo1Cx06\ndMCsWbOwdOlS/Pvf/8aSJUtqv/Gja4W8lQo1Vzsu78CrB17FwXEHoXXRSh3HLCxtXtCKFStw9uxZ\nFBcXY8+ePbVes7R9ITIGg8GAXbt24fr16+jbty9eeuklqSOZjVHXcbp+/Tqio6NrCidPT08cPXoU\nTk5OuHXrFoKCgnDlypXHAly4ICAsDNi2jauCU/O0M3snpu6figNxB9C3k/I/OVhSsZGXl4cJEyZg\n7ty5WLFiBfbu3VvrdUvaFyJqOpOu41RQUAAnJycAgJOTEwoKCurcjrdSoeZupNdIqFVqDNk6BPvj\n9qNfp35SR6JHZs6ciffeew/379+XOgoRWZAmf6tOpVJBVc9iTHPnVt28l6g5G+45HGuj1yJqaxTO\n3DgjdRwCsG/fPjg6OkKr1fKsEhE9lUadcaq+ROfs7Iz8/Hw4OjrWud3t2/Mxf37Vv4OCghAUFNTI\nmESWbVjPYVCr1Bi6dSj2xO7BC11ekDqSUWRkZCAjI0PqGE/t5MmT2LNnDw4cOIDy8nLcv38fCQkJ\n2LhxY63t5lcfwMBjGJHSNPb41ag5TrNmzYKDgwNmz56NJUuWoLCwsN7J4UT0Hwd+OIAJuyZg99jd\n+C/X/5I6jtFZ4rg/evQoli1bxjlORM2c0RbAjI2NxYABA3D16lW4urpi3bp1eOutt3D48GH06NED\naWlpeOutt4wSmkjphnQfgo0jNuIPyX/AiV9OSB2HHqlvugER0e+Z9ZYrRFTl0LVDiN8Zjy9Gf4HA\n5wKljmM0Shr3StoXImqYLG+5QkRVwj3CsXXUVozaPgrHfj4mdRwiIhKJhRORREK7hiI5Jhkx22OQ\ncT1D6jhERCQCCyciCYW4h2D7y9sx+vPRSMtJkzoOET2BIAi4ceMG7t27J3UUkhALJyKJBbkF4fOX\nP8fYHWOR+lOq1HGIqA53796FVjsQ3bpp4ez8HJKSZnAOXDPFwolIBl5yewlfjP4CsV/E4tC1Q1LH\nIaLfmTz5NVy+7I/y8luoqMjD1q2nsWHDBqljkQRYOBHJROBzgdg1Zhfid8Yj5ccUqeMQ0W9kZZ1D\nRcUUVP3ZtENpaRxOnjwrdSySAAsnIhl58dkXsWvsLiR8mYADPxyQOg4RPeLu7ga1uvpSuh42Nmno\n2dNdwkQkFa7jRCRDmXmZGLZtGP75h39iaI+hUscRTUnjXkn7Qk33/fff48UXQ6HTecBguAMfH0dk\nZOxH69atpY5GRiJ2zLNwIpKpMzfOIHpbNNZGr8WwnsOkjiOKksa9kvaFjKOwsBCnT5+GjY0NBgwY\nACurRt3ulWSKhRORAmTdzELU1iisGboGwz2HSx2nQUoa90raF6JqeXl5WLVqNe7evY/Ro6MxePBg\nqSPJBgsnIoU4e/Mshmwdgk+iPsFIr5FSx3kiJY17Je0LEQDk5+ejV6/nUVQ0Gnr9s9BoVmD16oWY\nMCFB6miywMKJSEHO559H5JZIfDTkI8R4x0gdp15KGvdK2hciAFi0aDHmz7+Oioo1j545iU6dJuHG\njSuS5pILsWOeF2iJLIDWRYuv4r9CxOYIGAQDRvuMljoSEVmYsrJyVFY6/OYZB+h05ZLlsVRcjoDI\nQvRx7oND4w/h9ZTXkXwpWeo4RGRhRo0aARubfwD4HMAZaDRJGD8+VupYFoeX6ogszKXblxC+KRzL\nwpchzjdO6ji1KGncK2lfiKqlpaXhzTffxv37xRgzZhgWLPhffjvwEc5xIlKw725/h7BNYXg37F3E\n946XOk4NJY17Je0LETWMc5yIFMzH0QepCakI2xQGvUGPRL9EqSMRETULLJyILJR3R28cSTiC0I2h\nMAgGTNROlDoSEZHisXAismCeHTyriqdNVcXTZP/JUkciIlI0Fk5EFq5nh55IS0hDyMYQGAQDkvom\nSR2JiEixWDgRKUB3h+5IT0xHyIYQ6AU9Xun3itSRiIgUiYUTkUJ0a9+tqnh6dOZp2vPTpI5E1KwI\ngoDs7Gw8fPgQPj4+aNmypdSRyARYOBEpiEd7j5ozTwbBgFf7vyp1JKJmQafTYfDgUTh9+l9QqzVw\ncbHB119/BUdHR6mjkZFx5XAihenarisyJmRgxakVWJW5Suo4RM3C8uXvIzNTQGnpNTx4kI2cnEGY\nOvXPUsciE2DhRKRAbvZuSE9Mx6rTq7Dy1Eqp4xAp3vnz2SgrGw7AGoAKlZUv49tvL0sdi0yAhROR\nQj1n/xwyJmRg9TersfzkcqnjECmaVusFG5svAegACLC23o7evb2ljkUmwFuuEClc3v08BG8IRpJ/\nEma9OMukbSlp3CtpX8j0dDodhgyJwalT5x/NcdJIMsfpypUr2Lo1GVZWLTB+fDzc3d3N2r4l473q\niKjGjfs3ELwhGBP9JmJO4ByTtaOkca+kfSHzEAQBV65cgU6ng7e3N6ytrc3a/tmzZ/HSS4NRVjYR\nKpUOGs02fPPNMfTs2dOsOSwVCyciquVm8U2EbAjB+N7jMfe/55qkDSWNeyXtCzUP4eEjcfhwOICq\nddxUqkWIjc3Bli1rpQ1mIcSOec5xImomOrXthPTEdGy+uBkLji6QOg4RGVlhYTGAZ2t+FoRnHz1H\nxsTCiagZcWnrgvTEdHz23WeYnzFf6jhEZERxcX+ARjMXwLcAsqDR/A2xscOkjqU4XACTqJlxtnVG\nWkIaBm0cBINgwNtBb0OlUkkdi4ia6PXXp6O4uBirV4+EWq3G7NmvIT4+TupYisM5TkTN1O2S2wjd\nGIroHtFYGLLQKMWTksa9kvaFiBrGOU5E9ESObRxxJOEI9v2wD3858hcWCUREIrBwImrGOrbpiCMJ\nR5ByLQWzU2ezeCIyoYKCAkybNhPR0XH4+OM1HG8WipfqiAj3yu4hdGMoQtxD8F7Ye42+bKekca+k\nfSHpFRYWwtu7H379dSgqK/2h0XyAKVNCsWLFEqmj0SNcx4mInsq9snsI3xSOwGcDsSJiRaOKJyWN\neyXtC0lv8+bNeOWV7Sgp2fPomQJYWbnh4cMSqNXiL/6UlJTgypUraN++PVcFNzKzzHFyc3ND7969\nodVq0b9//6a8FRFJrL1Nexwefxgnck/gjZQ3FF00lJeXIyAgAH5+fvD29sacOaZbTZ0IACorKwHY\n/OYZGwiC4anG2aVLl/Dcc14ICZkMb+8ATJ/+pqLHqVw16YyTu7s7zp49i/bt2z/+xvy0RmSRCssL\nEbE5Av079ccHkR881ZknSxr3paWl0Gg0qKysxMCBA7Fs2TIMHDiw5nVL2heSv1u3bsHLyx9FRW9C\nEPxhY7MUw4d3xtatn4p+j549++L776cDmASgEG3avIjPPnsXUVFRJsvdnJjtW3U8sBApi31rexyK\nP4Ss/CxMPzAdBsEgdSST0Gg0AKpuzqrX6+v8AEhkLM7OzsjMTEd4+Cn4+v4V06f3w/r1n9TaRhAE\nbN++HX/96zxs2bIFBkPtsZeTkw1g9KOf7KHThSM7O9s8O0A1mnTGqWvXrrCzs0OLFi0wZcoUJCUl\n/eeN+WmNyKLdf3gfkVsi4evoi4+jPoZa1fDnLEsa9waDAf7+/rh27RqmTp2Kd999t9brlrQvpAxJ\nSTOwbdvXKCmJRps2hxAV5Ynk5HU1Z3179PDHDz+8iqozTkVo02YAzzgZkVkmh+fn58PFxQW//vor\nwsLC8OGHHyIwMPCpAhCRfBU/LEbklkh4dfDCmug1DRZPljjui4qKEBERgSVLliAoKKjmeUvcF7Jc\nubm56NFDi/LynwA8A6AUGk1PfPPNV/D29gYAXLx4EcHBUaioaA+d7iYmTRqPjz5axpX/jUTsmG/S\nLVdcXFwAAB07dsSIESNw5syZmsIJAObPn1/z76CgoFoHJSKSv7at2uLguIOI2hqFpD1JWDtsba3i\nKSMjAxkZGdIFNAI7OztERUUhKyvrsWMUj2FkLkVFRbC27oDy8mcePaOBlZUzioqKarbx9fXFzz9n\nIzs7Gw4ODvxWXRM19vjV6DNOpaWl0Ov1aNu2LUpKShAeHo558+YhPDy86o35aY1IMR7oHmDo1qFw\nb+eOf0T/Ay3ULerczlLG/Z07d2BlZQV7e3uUlZUhIiIC8+bNw6BBg2q2sZR9IWXQ6XTo2tUX+fl/\nhMEwDirVLnTo8C5++ukSbG1tpY7XLJh8cnhBQQECAwPh5+eHgIAADB06tKZoIiJlsW1pi/1x+/Fz\n4c+YuHsi9Aa91JGaJD8/HyEhITXHr+jo6FpFE5G5tWzZEseOHUS/filo21YLP79kHDuWwqJJhrgA\nJhGJVlpRiuht0XCxdcGG4RseO/OkpHGvpH0hoobxJr9EZHQaaw32xu5FQUkBxn85HpWGSqkjERGZ\nFQsnInoqGmsN9ozdg7tldxG/M57FExE1KyyciOip2VjbYPfY3Sh6WIS4L+JQoa+QOhIRkVmwcCKi\nRmlt1RpfjvkSJRUliP0ilsUTETULLJyIqNFaW7XGztE78VD/EGN2jJE6DhGRybFwIqImaWXVCjte\n3gG9YNlLFBARicHlCIjIKHR6HVpZtVLMuOcxjKh54XIERGRWLVu0lDoCEZHJsXAiIiIiEomFExER\nEZFILJyIiIiIRGLhRERERCQSCyciIiIikVg4EREREYnEwomIiIhIJBZORERERCKxcCIiIiISiYUT\nERERkUgsnIiIiIhEYuFEREREJBILJyIiIiKRWDgRERERicTCiYiIiEgkFk5EREREIrFwIiIiIhKJ\nhRMRERGRSCyciIiIiERi4UREREQkEgsnIiIiIpFYOBERERGJxMKJiIiISCQWTkREREQisXAiIiIi\nEomFExEREZFILJyIiIiIRGLhRERERCQSCyciIiIikVg4EREREYnU6MIpJSUFnp6e6N69O5YuXWrM\nTEREJpWbm4vg4GD4+PigV69e+OCDD6SOREQWolGFk16vx6uvvoqUlBRcvnwZ27ZtQ3Z2trGzmU1G\nRobUEURhTuOzlKyWktNSWFtbY+XKlfjuu++QmZmJ1atXS34MM/fvWOntSdEm27Ps9sRqVOF05swZ\ndOvWDW5ubrC2tsbYsWOxe/duY2czG7n+cn6POY3PUrJaSk5L4ezsDD8/PwCAra0tvLy8cPPmTUkz\nKf2PEgsntif39sRqVOF048YNuLq61vzcpUsX3Lhxw2ihiIjM5fr16zh//jwCAgKkjkJEFqBRhZNK\npTJ2DiIis3vw4AFiYmKwatUq2NraSh2HiCyB0AinTp0SIiIian5etGiRsGTJklrbeHh4CAD44IOP\nZvTw8PBozCFFEjqdTggPDxdWrlxZ5+s8hvHBR/N6iD1+qQRBEPCUKisr0bNnTxw5cgSdOnVC//79\nsW3bNnh5eT3tWxERmZ0gCEhMTISDgwNWrlwpdRwisiCNulRnZWWFjz76CBEREfD29saYMWNYNBGR\nxThx4gQ2b96M9PR0aLVaaLVapKSkSB2LiCxAo844ERERETVHTVo5fNKkSXBycoKvr2+927z22mvo\n3r07+vTpg/PnzzeluSZpKGtGRgbs7OxqPn0uXLjQzAmriF2YT+p+FZNTDn1aXl6OgIAA+Pn5wdvb\nG3PmzKlzO6n7ExCXVQ59Wk2v10Or1SI6OrrO1+XQp03x+eefw8fHBy1atMC5c+dM2pY5FxQWc9w2\nJnMvNip2zBtbQ+PB2Nzc3NC7d29otVr079/f5O0VFhYiJiYGXl5e8Pb2RmZmpsnaunr1as0xTqvV\nws7OzuT/bxYvXgwfHx/4+voiLi4ODx8+rH/jpkyuPHbsmHDu3DmhV69edb6+f/9+ITIyUhAEQcjM\nzBQCAgKa0lyTNJQ1PT1diI6ONnOqx+Xn5wvnz58XBEEQiouLhR49egiXL1+utY0c+lVMTrn0aUlJ\niSAIglBRUSEEBAQIx48fr/W6HPqzWkNZ5dKngiAIy5cvF+Li4urMI6c+bazs7Gzh6tWrQlBQkHD2\n7FmTtVNZWSl4eHgIOTk5gk6nE/r06fPYWDKmho6FxibmWGFsDY0jU3jSeDAFNzc34e7du2ZpSxAE\nISEhQfj0008FQajq18LCQrO0q9frBWdnZ+GXX34xWRs5OTmCu7u7UF5eLgiCIIwePVpYv359vds3\n6YxTYGAg2rVrV+/re/bsQWJiIgAgICAAhYWFKCgoaEqTjdZQVqBqwqjUxCzMJ4d+FbuAoBz6VKPR\nAAB0Oh30ej3at29f63U59Ge1hrIC8ujTvLw8HDhwAH/84x/rzCOnPm0sT09P9OjRw+TtmHtBYTHH\nQmOSYrFRMePImBoaD6ZirraKiopw/PhxTJo0CUDVPGc7OzuztJ2amgoPD49aa0ca2zPPPANra2uU\nlpaisrISpaWl6Ny5c73bm/Qmv3UtlJmXl2fKJhtNpVLh5MmT6NOnD4YMGYLLly9LHanehfnk1q/1\n5ZRLnxoMBvj5+cHJyQnBwcHw9vau9bqc+rOhrHLp05kzZ+K9996DWl33IUROfSp3zWlBYXMtNtrQ\nODK2hsaDKahUKoSGhqJfv35Yu3atSdvKyclBx44dMXHiRPj7+yMpKQmlpaUmbbNacnIy4uLiTNpG\n+/bt8eabb+LZZ59Fp06dYG9vj9DQ0Hq3N/lv+fcVsVwXz/T390dubi7+9a9/YcaMGRg+fLikeRpa\nmE8u/fqknHLpU7VajQsXLiAvLw/Hjh2rcxl/ufRnQ1nl0Kf79u2Do6MjtFrtEz/xyqVPnyQsLAy+\nvr6PPfbu3Wu2DHLsF1Mw52KjYsa8sYgdD8Z24sQJnD9/HgcPHsTq1atx/Phxk7VVWVmJc+fOYdq0\naTh37hzatGmDJUuWmKy9ajqdDnv37sXLL79s0nauXbuG999/H9evX8fNmzfx4MEDbNmypd7tTVo4\nde7cGbm5uTU/5+XlPfH0l5Tatm1bc3o3MjISFRUVuHfvniRZKioqMGrUKMTHx9f5h1Eu/dpQTjn1\nKQDY2dkhKioKWVlZtZ6XS3/+Vn1Z5dCnJ0+exJ49e+Du7o7Y2FikpaUhISGh1jZy7NO6HD58GBcv\nXnzsYa4JvsDjfZWbm4suXbqYrX1zaOhYYSr1jSNjEjMeTMHFxQUA0LFjR4wYMQJnzpwxWVtdunRB\nly5d8PzzzwMAYmJiTP6FCQA4ePAg+vbti44dO5q0naysLAwYMAAODg6wsrLCyJEjcfLkyXq3N2nh\nNGzYMGzcuBEAkJmZCXt7ezg5OZmyyUYrKCio+bRw5swZCIJg8uvidREEAZMnT4a3tzfeeOONOreR\nQ7+KySmHPr1z5w4KCwsBAGVlZTh8+DC0Wm2tbeTQn2KzyqFPFy1ahNzcXOTk5CA5ORkhISE1/VdN\nLn1qLKY8k9CvXz/88MMPuH79OnQ6HT777DMMGzbMZO2Zm5hjhTGJGUfGJGY8GFtpaSmKi4sBACUl\nJTh06JBJvyXp7OwMV1dXfP/99wCq5h35+PiYrL1q27ZtQ2xsrMnb8fT0RGZmJsrKyiAIAlJTU594\nedeqKY3Fxsbi6NGjuHPnDlxdXfH222+joqICADBlyhQMGTIEBw4cQLdu3dCmTRusW7euKc01dpZm\nKwAAATtJREFUSUNZd+zYgU8++QRWVlbQaDRITk6WJGf1wnzVXzMFqgbmL7/8UpNVDv0qJqcc+jQ/\nPx+JiYkwGAwwGAwYP348Bg0ahDVr1tTklEN/is0qhz79vepLTXLs06b48ssv8dprr+HOnTuIioqC\nVqvFwYMHjd7ObxcU1uv1mDx5skkXFK4+Ft69exeurq5YsGABJk6caLL26jpWLF68GIMHDzZJe/WN\nI3Mxx6XXgoICjBgxAkDVZbRx48YhPDzcpG1++OGHGDduHHQ6HTw8PEw+pktKSpCammry+VsA0KdP\nHyQkJKBfv35Qq9Xw9/fHn/70p3q35wKYRERERCKZ7ysARERERBaOhRMRERGRSCyciIiIiERi4URE\nREQkEgsnIiIiIpFYOBERERGJxMKJiIiISCQWTkREREQi/T/EwbtQDOl92wAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x6b6eef0>"
]
}
],
"prompt_number": 31
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"Different ways to add subplots in a figure:\n",
" plt.subplots()\n",
" plt.subplot() and fig.add_subplot()\n",
" plt.axes()\n",
" plt.subplot2grid()\n",
" plt.subplot_tool() -- interactive modification of subplot spacing"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, axes = plt.subplots(2, 2, figsize=(9, 9))\n",
"plt.subplots_adjust(wspace=0.5, hspace=0.5, left=0.125, right=0.9, top=0.9, bottom=0.1)\n",
"plt.tight_layout()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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ECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQI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\nSXnABwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7f89eb8>"
]
}
],
"prompt_number": 36
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"GridSpec"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"Under the hood, matplotlib utilizes GridSpec to layout the subplots. For advanced axes layouts, ..."
]
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"\"Twining\" axis"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"\"Twining\" axis allows you to share the x axis or y axis of your subplots with each other."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, (ax1, ax2) = plt.subplots(nrows=1, ncols=2, sharex=True, sharey=True)\n",
"ax1.plot([1, 2, 3, 4], [1, 2, 3, 4])\n",
"ax2.plot([3, 4, 5, 6], [6, 5, 4, 3])\n",
"plt.show()\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x7f8c550>"
]
}
],
"prompt_number": 40
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Axis Spines"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure()\n",
"ax = fig.add_subplot(121)\n",
"ax.plot([1, 2, 3, 4], [10, 20, 25, 30])\n",
"ax.spines['top'].set_visible(False) # can delete spine\n",
"ax.spines['right'].set_visible(True) # default\n",
"ax.tick_params(axis='x', direction='inout')\n",
"ax.tick_params(axis='y', direction='inout')\n",
"#ax.xaxis.set_ticks_position('bottom')\n",
"#ax.xaxis.set_ticklabels([1, 2, 3, 4], \"bottom\")\n",
"#ax.yaxis.set_ticks_position('both') # ticks on left and right\n",
"#ax.yaxis.set_ticklabels([10, 20, 25, 30], \"both\")\n",
"\n",
"#ax.spines['bottom'].set_position(('outward', 10))\n",
"#ax.spines['left'].set_position(('outward', 10))\n",
"plt.grid(b=True, axis='both')\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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JdnO4Mj9XzshzJasrOcNlvSCVl5tG9pw50LSp7TQiYpP1KdusWfDnP8M770BS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\nfEMFSUR8QwVJRHzj/wG1v/gY6XKVmwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x6882f98>"
]
}
],
"prompt_number": 70
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Colorbars"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"Colorbars are like legends because they help to describe the data being displayed. \n",
"Legends describe plots (plot(), scatter(), hist(), stem()), colorbards describe images. They can be used for any 'ScalarMappable', which will be discussed in the Artists section."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"y, x = np.ogrid[-6:6:20j, -10:10:30j]\n",
"z = np.hypot(x, y)\n",
"plt.imshow(z)\n",
"plt.colorbar()\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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0iAEmgJKPwEQGJhimAN29n4zsRKCWHhGoHrQGfDXab0b8EuxTw1pKd0nBMQjD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\nBIeaCdYTAnEcsUJgHP1r8FdfFnRnBsQAdhpcAn0P2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"text": [
"<matplotlib.figure.Figure at 0x7c4dcc0>"
]
}
],
"prompt_number": 72
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.imshow(z)\n",
"plt.colorbar(orientation='horizontal', shrink=0.75)\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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ihtdwJY4VRXZGiXnndOdW9cVkQVYVliivBljUKy9ve6S6xg+gHIFs4ko08Eor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\nYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7f85ef0>"
]
}
],
"prompt_number": 74
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.imshow(z)\n",
"cbar = plt.colorbar(extend='both', aspect=10)\n",
"cbar.set_label('distance')\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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0UTzvec874FVHd3yFQ1SkDB5oQcMFDAkLXnwNYIweYwk8VBgM84m5zbAxIYNG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\n4f4AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7d8af28>"
]
}
],
"prompt_number": 75
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, (ax1, ax2) = plt.subplots(1, 2)\n",
"ax1.imshow(z)\n",
"im = ax2.imshow(z)\n",
"plt.colorbar(im, ax=[ax1, ax2], shrink=0.5)\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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pyBjmmLZ+/mgRz727OcFwEhVxfSIYdhYIS2X8832MmmCsDpGK0kng0QoesVgi\nMnIKhKc/5mssMp4NJuMdBKs83znuHPDRXj3cDsLrrNH7k5oCllnE4tCdhGdaxCJWy1JhoVWZBlnU\nhpnXJDERHkhkg0eTPJsgJtJSmeZNXiYlecrfJSmQwstxQ0p9jFFMYPDkMxmxWSom2DpaomJhxCKR\nkU/vAsaFB3spOOOXKlxEZ8gd0qicnjEjnA4kpAI9qEARKlOIZCU11QPX5sgoj0WJU/lMGGFg1IAx\nRFcm5wfJauPgTCgEiwJgcLIXE4VDb10SvdTTmUKELooLeEJa45k+R8IqPOtylFcz9dF6rbdOhEhO\ne+QIhdPwUQqVizYn+NQmHTzZq52qU5rrpT92YmrThe9zUUjE7RBxFLFsKgz7dZXxLGF5YcQiYTkK\njHDuKI7j+pRUovIix2o4o+H0mPDrVIheqOAkiFM/1w4CTYGggWGOYwnXRk0YlfE4VsanvmC8QApY\ntiZOUudKh7WX+jDC6437UMRynKfGEHFxqFg287sctD21EQuShjORgEjEopmHlUh6QJuAmDfkws3P\nak9GvljTpz+8mBgEUcGbLC54bcWciNih244JCxvIyAUyCh6NnQymUcMGMWFHTkIKmFRZYMgJaEnE\nAihIqBIZhIxcuJNEgnLGe4wq3iWNghs0oEY4rTwRKQ2nPRkNlHREbVELi+zdYJaMaIs3FKOCuHAm\nkFIQGdoXdcYxY3oIuVk6FnSpqBAiFtwTSuKC6DFLz8MxERgRz3FUiCaYBqmxWOQIzDkIxXcFPFNM\na5VHdekhFWHPOQhltGIgOO7huoFpgueI5RSZiLieGJ7D0o0Mz9bj2UVcb+IoMFFRYjl2PiRHwRmd\nMG5N8M7DndKZIC6UhkuYDpECrfLQ11YgEkAUFnHd785rK6TnEcUZcIKQKPDslxoDjJ7gtILWLjzX\nw8ENzkcurCv7k4TTFoY7AkNFByFG6sJbh4rlZ3rEghKROMPmXLSiIhzUnYGIC2v8GHerNaaQ/hij\nqEApKnwddG6xYJNGJUoi6kcqdniUwpWvxdoJLyaCyLBDikzYMTcXhAVGFYjHF3gV4oJPZUsJqWcS\nCWmEu6ALpA4oo+FMTC56UeFVvoKbLNwQhnNqHVogo5iCoB5OmvWqxUp0Wp2SiFpkVDYfoRgx+MiF\nylEMjQFOWxgdk6XOCwoaseBh0Z6o6EQrEhmRdEH0dKzCsREU0SQ801k2m/htOQWtzzA8xyJNp2Oh\nZnAStMdEZ654AAAgAElEQVRzEhUqRyGzs9Ar2lwacWS4duV24RhMBMsxhUmwbCftRcVYOgmFs9DD\n8lJhwSMXBlBawRmXRIUKkTubRLACBuuPa7BeeGgv6pwLToIOw2IjnulQ9rQaXyyFhT8klxrHNX36\nahhnhvSkIUXwrAcYN2F0A6AnOOOHaqgQvXA8+sjbUieB4TrVWcRInToiWH6m1VgY4uHEi0DJaBHB\n9PZpdBw3BDAYTYaikRxsjFQkIopDxNYhonrIaXNkiKu3pxCxmCaa/vDbblcFQZGXLixLElJBYECe\nJz8SUs+awiJ6NiCRCw2nnRcTYfZSTNY/FMg6WGuDpxPOf6ANG1MhorjgaQ//Gs3F6qL1xUTIEGNk\nZBTD5MbF0IENZGFDBEYhzbfd8m56Xk6jrxZkRHKzYdBOPhfHwCo8x99kGsJiaeSidQMgpO7SfBU6\n4zlGHRV3EOr1uZEhPHLRbAWWcyokYXnK4mKaBuIcKNhdDcuwnPGMtpNAsbyhsEiudXIUCKYH5R9x\nMHk828HPFaEH4znUaTgzZjwrJZdFxf4hCIt2ATbFNX9wQcC0GjA64iyo+PSSKRWdR1GhjIWOWO7h\neINUSHQSaCrEHgUsrxGx+NCHPoSPfOQjcM7hlltuwbve9a5qn3e+85249957cf755+NP//RPcc01\n16x9SE9tKoSsGxCvrUdEcx7gAiHiDB2KZoKoyNN2JyGh4k2I3pAMI5w5IpoZauqE8CkVFnbANIY2\nDZhGA7ervJjgy0RGSKRUkdE+1Fik6jxCRpHcEbx7OyiolYObNJR1sJODsg5umPLY/EgR2g9bo+QD\noNqOhNQSGDIxWUZKkYx8Jb4OKRCtJmjnay6gJl8/ohHystb3K9vpgy2PppcKiduMjBZML3IkrcBz\njEC2ohZSiqMnLnp4jkI2DBO3Yc6KNG13mG2TOgjlo8vrUV/LIxRyFJJGLkbmKEyTSZi2oxbwHKOP\nKHDsOJ73ocaC4rl0FGJE0gErBzsxPFsvLtyg0pw4UVTYOEdO/JvgNVLRKI5zjUUv2mgKPAcHAbF+\nJqZHhhDFGKC0AvQU+p+DDsKpey9ZGqloYJ1HH90xiVj8wz/8Az7ykY/gy1/+MlarFX7mZ34GP/uz\nP4sXvvCFaZ977rkH3/jGN/D1r38dX/rSl/D2t78dX/ziF9c+pAOLWDRzsnMEI4VR58TIoJiHE8SF\nIiQUyUaVoqIWF5sREvVqEjm5/FoaRjoRYbE7wI4G2FVwuyiXI4AxiwqXPBwhYrFvNRaKDLciqZHB\n+Qp9m/OZygJwLswGqlLldiQi64KXw8VFYVlYxGUUFm0iyg+WHwkZaQx+VIibAiHFBz5P6UavjCdQ\nZ+AjP70+Jnk3c6mQAWnIqdbeuynI6JhZD8/NtOY6gqIVgUwRC1WKipTWjDiNaZA+lmts82f9UGfh\nnGZqM9dLrYioyFieRh99LPGc16OIKOoqntIaC5cKrxVJc7rJQa0ANXmR4R9F7vzzdQoHQcNaDWvI\nqBCCZ5r4yBjO79AIRctBaOJZDTDOYgp1U3GbilptnU+LDEG5S31xSWqz0Udj5JGnQoBDxvNCYfGP\n//iPeNWrXoXzzvMhjuuuuw5//ud/jl//9V9P+9x9991461vfCgB41atehcceewxnz57FiRMn1jqk\ng4tYRDKa8244wbRERuv9IRYjEXERq8fZg4nK6vG+qOiR0SKPJ0YunPd0LPFw7BSIaHeA29WBeADs\nKL+MbUQZMu2FT9etsZAiF0W0Iq9jQBY257jkSfmHEPryK6NCsVfIyVroTEIOfpw9sUwyXFj0h6F5\nIvIElMkoX1OtaCrEC4yUljAOzjq4webzNRctGzvbUtMowqfJqzyGVuFZl45C0ylYx4EQRQZJbRry\njB9dY5lul1iW56vJBZsL8MyjjwHPIwZYS9MfFM8BwzvwYiJhG20c9xyFjYVFvGggEYvwephYCucA\n8XHkygETHAw8jp0Kws7FiAXEdEjEdR1dhCgkaMSxxLOBHLEo8ewn7nPhGSLW95N4nnoRCAnXLXFB\ntqm4MBHLhx2xWHgXf9nLXobf+q3fwqOPPorzzjsPn/nMZ/CTP/mTxT6PPPIILr/88rR92WWX4eGH\nHz5awkJrv1SKpEAI0VLy5WSMFll1mkvLUOilvcccJ8LiTxfMkQqpiLMs8KzGpguEtVuQ1oBdt0qj\nPkY7FCFTu2tgd4zPu+74cCl2FCMilETUExYTau9m3XksxJys0OhY8Th5TxhT7pwK0xIb/6hyACkS\nocIDkcJU2z5V69IDzyjpSOSTCAVsSCkGTGR9DFeMXuOJbGvlYJSDVRpWWV9kqkGiM+gTUiSghf0z\n1lnER6nHZbJDHwi/zCo8R8FECLfCce/ctKKRqa4iLDUSlv01a+GZ43aAjHMZ073RYGnbrtKIjxip\niI6B3TFwuybgWQfHQMBzXOf4pfhuYXkdYbEEyzEFmJpKWFbOR/Ks01AufEnAtDIuTEDnMCqbptzm\nGJbw7HE7MFyXGJ6Ik0DrpCa27XEcHkymNRwVFxTLc05Cq9+y85eiIwTL0MjDTQ8DywtrLK688kq8\n+93vxg033IALLrgA11xzDbTW1X6OjZ1V4tDivj21qZB4zKoUFSIRLRURjISc0CFcuOiRhHL3zQ/3\nLtMfvOjLoI5oSGREw7BCHUYaQjpgsqtUU2GnIYgKA7cTaip2FJxEPnQ9Eg8XGCNkEloiLKRIxZz3\n2flbXliEnKwLiHMDAAWlHUZt/dJ5IvKzfdLhZ/JYdkpGVGCYIBlKURGvp63Iyr/rYJX1BaVBgLo4\nBpT1qWIIZS86wc9bh5DS68es0KLAM8UydRSk89ATGz08JyxHRyGKCo36Yd81luvX+fByvl5GJAtx\n4byoGO1QjOSKNVLJUQhOgtuBjGEuLCiW6fomxdityGM851KYn3MHj45Yn7ersGzic3iCoDAOyrn0\n2PNSVOSJwfs4zk6Axyx1CjJ+y2tv/YyhoTjcEidBsf5UzW2xBMP08zov/dwZ5DNHoMbizDeAM/+7\nv+vNN9+Mm2++GQDwm7/5m/jhH/7h4v2TJ0/ioYceStsPP/wwTp48ufYhHZywYEQkXrylUQqS8qhI\nSTMyUho2TKIjRyzKVIhESFxUlKmTOkWStuNcFWnkR87BuhipCC2lPSLptISFRESbCgugJiDpGvAQ\n4dxwuPTIZwcbBrs7KGjjMBkLbVyKVMDFYWblqA8+lr0Y3VF5MKVwyK/VYtLCYFIWk9IwwQNuRixM\nJqjFgoL16SIHTG6+6rDJaANLeCbRikpUtHC9wHlwZH8XPUHjC2xTOD5GLIrgeQ/TtbioHQkerTA1\nlomjMNJRH1MQFbsmYFklPC92FDiWW8JirxELXogctysxkdd94aYO9VNAeIg5psF5HCcs24xnZcFH\ncMX5eFPhpYjjcptHGuttAwsbxEUUFb5J2J3Fck8Ac1FBzu2hYzkIi1M/5lu03/lcveu///u/45JL\nLsG//uu/4i/+4i/wpS99qXj/pptuwh133IE3vvGN+OIXv4jnPve5a6dBgD0IiyuuuALPfvazYYzB\narXCAw88UO2jTViJwoJcmMWpkLkwHhMYzqBIg6TwKb+5MBEx5/lk4mkVg5UpkURKbuXDp2Tkh90d\nYHd8dbh7MpBRSIUsFhZ8XcrNbiIs6Pmn6p4uuzlglZ7IaJ2BCvkWBYVpcH4aYUeEhaYz8dmilZXi\nU4eUKOHEdek9Ez5t/XTFyg9HdlYlcaEaAoP2t24IVejXqXhTZxzYOgJ5qLZnPM+R8wIcNx2GiOeI\naZiZ1GZOacpYrkVFFhe8FoNimUQrRtKSqPBY9qJClTVSEq5bWG7VWqwrLHifbOG5ISycA1QaAeLl\nvooVExbQgyuwHB9g2Boa7uel8DjmaQ7ZcZAikZzHpxSxSE6CCcduOlhegNvqPSIqrDlCWF5juOnr\nX/96/Md//AdWqxX+8A//EM9+9rNx5513AgBOnz6N17zmNbjnnnvwohe9CBdccAE++tGPbnRIGwsL\npRTOnDmDiy66qLkPjVhQz63p4SyJVsx4PNHzpOHTSfW8m6EiHrnGIi9rImqIDTppzhRDpmFIafJq\ncgMNn/aERUtgcBKKr/WsJeSosJBExYyX411OX+E1QXux4OCFBUIaxDrEpy1xMUFFRSQjHhLlkQm6\nPglklK9/eFBaCp+GKG8kISlis66gYNsxWhfTdOqwyYjZ2nhmTkI3FbIGrh1fkghkrq/IAxJb4qKP\n5Zao6I8cSbUV04CRjPywO4bhOLQnMR+xaGG5heeesGhFKriwiDg25DubToLzdVROw8EFaaEB5wWE\nio9nj2nNmeGk+arJYoFHnHgksnIUlElOgtMqUIpK0WtRVLQKtOcEBhMX8X5z6FheY4Ksv/mbv6le\nO336dLF9xx137PWINhcWQF3kwY0SUSLscGHocrFnwzsGI6JUX1SkQUKXFjwcnuqQUh58v2VEFGbX\ndDknO46EjHaHFJ1wOwp4kqz3hIXk5XBhwQmpV0y01MOhZDQzhbhzKowOUZ6IUh/RecSHhichk4VF\na0x7GjoKGrGQcrLUy4nrdbRigoFVJkQrdBqTn8pMiYfjDNJjkxcJCqH/8siciv30sMlIsLXwrBme\nhd/aOy8cyzxKkUSFyRGLQlyACsXaOZDwyx2Ffo0US4NgIBNhrTCNIQq544WFdwoU3JPIaZAoLHpY\nbjXuHCyJQLawzJ0EjulOWjNGH10Y2eGIshnj8BGVsexY5LEc9VEWV+f1VpqzLuissJzwPJHpxv3x\nOdInUxpEGtnVwjZbV3Q7RjfjfsdgVMhB2p4iFq9+9athjMHp06dxyy23VPtoRkSJXFsRizkvRxAU\nSVQwgWFVDJ1mIup5Nn1xUYZUpWKvUlQMjIhC243V40OOTjzJlrzoawkZ7aImISo0mhcRMhFJyp62\nFfoRizQOLdyww+YUcrHQMWIRPtsUFlFUxCJMGrmYC6O2PaEpCE2rxvA8k1Bq1gifLsrNdkSGYudY\nHQUyYrYWntlv5b+veU56TgMh+ALPMbRNR4U0HIUefuV9yvRHdh6EuqkwwsvPrmn8JFihtsLuGhnL\nc8KiJy44htcRFvzcS8IiPkq8NRlXUS8FJCwTU8ph0mX00YnDwf0w0RwzpqM+ajy3BUZ+LYvKEI0O\nQ9s9jv2xVlgeADfuLS0iOQqIwdnDsqfTlN6f//zncemll+I73/kOrr/+elx55ZW49tpri31u+0FY\nUcApA5y6gJBQr9BoYctFmuW6jXPak9xbHYwrA3N0vS70qsVFsZ8z5RMNXdhnNJhGk2bfw6hkwUCX\n66RDeN2FREbrCgu65AQkEZFjTfWayg8z0hoqzEkAHYaeKf8UwxjiHOkcFKBpjuUCgl/fYtS8CtND\nx22nQ1jfkX7mcp/tNe4hCiNuoodzZgc48wMcKWGxNp41w7P029c8ZyWWY6QCBY6nonjTdDFNr//Y\nERfFay5ieiBPKzUYrYEd/QR2fq4ZHYaSKhmnHNO9OgsJ0y1HYR1hQZet+TJiKoQ2kCXFL+vX8WGD\nHssGU3j2zqisn5wuTr2tfPRxUvKw0lpUlFiXr7VJ6UzePybt0696EyzTPtnpx0cKy0+nh5Bdeuml\nAICLL74Yr3vd6/DAAw/URPTssKIAnNcgoaVEzbc1gFTNH4cMIhR5+RtG6mgwxagQOvw03lR6kQzJ\nw0n7pDHtxkcn0vaQpvS1u7653VikCVlMSMKCk5EkKuLQtXWFBSCTUPRwIvFwcSEJCiALi3jNGSn5\nVG0gojixScjN+pEa1j99VMWHEE1hmubay2lHKOh1NjURQedUCCWmREb+IU06HJefMtgt66MLmgo3\n5FM6X4L3/QCHbmvj+VkCnlvDHBeeryQmSKTCmjAPjaaior7JzI0QqbFsGJaJ0HADRkscBheLrrOj\nYOMsmi2sLsF0C88tR2FpjUXLSeCOQlznTgIgCwvSnMpzBak0x/UAZwCtLUY1wajB41rHR57nugo+\n90yJ4TLtQafNKnCMXNpdpDcDrlFgGQF/biPcSn1bGeDU+cApMs3DoWD56RKx+P73v49pmnDhhRfi\n8ccfx+c+9zm8973vrXeM5Kk6omLjyIUiXg3JwWoUoqIdsTCs43ISaoVYhREkQVSM8WmlgZhimNSG\npxk6OvOeFJHYKxlJRLS0eJOH/WKxZiQfus6FBci6RETxOseIRRB/MCalrrSeYHQgcj1Ba/9cj1JU\nUEIa0lXoRSpytIIKyCA4Ha218FXvCI9hjiM4XBQXZoG4MFjUp1Nu9ojYvuK51WYcBadVKS6KkSA6\nX6eE5/oGI/UBKfpIa6WqNGeITsSJ7MZiRk1DnAQtT2bXwrGE64hfvuTCgq7PjQpppZYpfrm4kHA8\nIyziNaNYRsDLaPwjzUdtPa7tgCmKDSIcaF1UjlTIkUguLorrHCNYkecDnlPKVSPMtwFAchTWFRpC\nFPJQ7ekiLM6ePYvXve51AIBxHPHmN78ZN9xwQ7VfqpaNHX6puGjlugoiyh07d/Aw7azSZT4WdNCi\nlMmXWundlCRFyCg+MjlGLKxJ49ztaPwjz3dN9nAkcbGUmFrCgs7iR8loXWHB1zkR8ZEmUrRCFBQI\noVNkItIuT2KjAWMmjM7CaB+lmJx/zgd9BHYpMPreKY9EWZj6ZhQjWs43C51Ih1Z9JyLaAwFJ4uKo\n2EZ4XldYLGhxxtwCz0lMKBKBlKKM9Jr356xpOggU0wnHJhRfeyx7TJPoIxUXUm3UHJ4lYUFrptaJ\nWLSEBU2FSJiWoo/0OzmmiRj0EUgf3XMasAOgYTG6XEA96igoqKjgo7lKkSG1WkwSbg/CM2J5cn4u\nizhDZhox2EqH8PMm4bjR79Vh10s9XVIhP/IjP4Kvfe1r8zvOEdEcQc0RuUFFQlOcxhulko2pkLlw\naT98WqdFPBGZNAvfGJ5uOE5DeDyyJyJwD2epoHhS2HcU1lvCYkmNhVTAFFMhlIgkYQGy3kmD+BYn\nr9Gwxh+3CgQ1ugnGhKGlyguKcgy77OVkYsr/+M2mFpShkpyLDGhAW+KJuCRiux76JqHVwyYjYmvj\nuYflGRLuna8iWhEeOOaHi2c8F+krcv16qRA+JLyOQtLoY6ypIOIiTmo36lRfkcUFlokJXpw9F7Vo\n1UTM1Vi0hAWPWNDvkwQF2LVs1EtZrfyj1w2gjILaVd5BMASr6bHn7chjT1D0xKIv4g0RR9o/nA7R\nCpujCjRSsQlme207KqSwp/aQekS0Dy0Xa6pUZxHnreA3DemRN3JrC4x6PZBQCpuaUDWeicg/0VCn\nQi/HHyy2hIjiOq8m5xEMSVQsqbGQ2giZiOI6UBNSS1ikiIVPNbjwNDpfna1hzZQFhAoejrOJbqRh\nozQVYpCrL+QQKhOUqrzmtH/4eRksmQsFZRpkr/lZ+vkjIiwW237guXv+ylSZ1So4CoJ3yrAqT9kv\nRyiowODiIuPZpDloxtFgHAeP4ZTSFKIVc1jmmJYchJawWFq82RIWPSxzByFaI1IRRaCPNmZREZ9M\np1V0EGyFZXlYuBd+g3jdeDGuICgpnmNfcRreSdBQxj9GwPXqpeb655wTvB0VUtjhCwvVWF9LXKic\ng9XSNEt1fYUlrd2Rl0U0pjgSxPpmw2gQjJ6I/DIQESWQJSFTPnStJS56Vd8945EK6uFQ8uEeDjUu\nKDqgdUYBuxowzj8K3jioAWGim3wOJ21yhT4TEy1vJt9cagEp9gfF9tEKSvliNKUs9BIimuvX/HzQ\n7aeDsJDwuzGOyxRnGt0lXM/Wdc7Xek0MM3ExuQE2DCu1k8d0wvFIRMVc62G6h+eWk7C0eJO3FpYl\noSI5CNI1i09IHTXcrvPCYnCLsCwLP+4ctPi6jeXUF5QOkQqbCk3dJlju4XcrLJp2MMKCd06ps65J\nUHHYIsIzBJxqzd0otWX7ScMV6w4fwnBWw1kNNym4SQNTJCHUw8mWkFGLlFpklCbVcYQ03LywsPDH\nmtS6KiMWfGw7FRYLCSh99y7KiMiowoQ1OlxH7T2gmCetog9SZTgd/SFfx7m5AOl0PkoBGjb1Kd/H\nZn4jDxkvJaXjKiyWkm3rHLTOIcOyE3Daeuj2Jm0iN6nUz1zGs8d0wPOoCKbVes4C3e45CjxiYR0r\nyHYLhIXy+ydHIWCbiwopWrHUQYh4HuF/f4HpcB11wLIN57PBnXx9P64rfTCAgoJW5F4RnYVeen5J\n6p7vt62xKEzP77LHb1+i/ubIuCVEVBjCGDqRE1IebVHREhf0JiWPky+8IWdgnYF1QVhYXRMQD52u\n6+nwECptT4T2JIAnXdjX5bbbaaMr943f8QTKRv/eXDGaJICKineBnIMYczYSejin5LxzQVFej72R\nEL1ROSgiKmJ/U+t5NnM3U759XGzuN+1FZOmAZRUmK5vBMhcdtdiQnjZTjxbikQ0L3/cylgOeJUdh\nzjFYku6U2hPIWH4y4tP2sZyaDVgOn3+igedW7UfvdxSNiKrUIp51wLN/KqoljkJ/6GgvwjjH2w08\nF6JC6Jete0wPr72+fAjmzpUbt3/6p3/CNddck9pznvMc/P7v/36xz5kzZ/Cc5zwn7fO7v/u7Gx3T\nUxuxoAp4yUXqXTzhszFqUUcs2p2vJCD+sO7cuVuiQ8z3uXxTdAFUnpCwfuRiLiUigX4H2btxcRY8\nID+Lo3eNFLshkOiFNLNmDJ3ORSmkYZgxxZJIiJyPUHuRPRydwqfSjYHeMPbi1cRrnx/wrGGVS15O\nmNG4TURz/feoejmbWMTznKBa4kBIhB6iQzZieTYKOScuZKehFKcspRYjFtFRKKKPKvddWtvE0xhL\nHIXec0Ri9NEJmO7hOUbXEo5dxnM1oyZZ5/2ZthaOd1FimaRr3BRq3gInTq4sqi7xPI/pLCKXiwr/\nGDQ/D6hTzmM4noslzm5PhEjbh4jlnYURi5e85CX46le/CgCw1uLkyZNpNBi16667Dnffffeejulg\nUyGti9Zbb3mHKWIRbgDkZmGr9Z64aHVYnv6g+XwaOo1Ri+DhWO7dMDLqRS3mPB2JjOJygicdRwjI\nLREWsQVSUjEPqZpTdtefFa4vJyENYFDeqwq5WEpIUZBZk4m9ToVIHk6MXMgio3Wzab6uXIpaILYZ\nT3sjoRzP13Eyiuelv7/1u9k5jM+ty3imgn8pjtuNjg7q4dlHLHRObcZUSOUgqGWpTSmaJ0X5OP7T\n8E/HWuf6KEdwjHKd1lRQUdGar6LnLMTUxy48pkdXnhuTI5CORCy0iGdTXaO5Jl93oY8oB0vwLDoI\nLQF8jJyEJ889p/HOTvMz9913H174whfi8ssvr96be2bQEjs4YdEj5pZ46BBRIqMYrVB15GGvTZrz\nQioK4x5OJiK0yahFSkuHnfJ1etNPgsIuEBa6jCxBZU9FfHYA2XdOUMx5OfS8hGiFsyp5ORoTIX1p\n1M7615Q+R5X3F7/tgriw6WbXJdwW6Szxeo6bzTkKSz1BkQe8iJMjkD1vdc6L5Z6wVJ9DU5sa1ho4\nx+orUo0FCH7VPJZbmH5SeJ9+BiA45suGKVVen4hlhRrHFM9zokISFAbZURgIloOTgHDufFrTF1xn\nPNeNX6PNsM1fs0VqE1RczGH0GDkJkzFrf+YTn/gEfumXfql6XSmFL3zhC7j66qtx8uRJfPCDH8RV\nV1219vcffCqEX0hJQLQuMnnd6exNUnGxPvHMk1J5cyvJKO1rTfJyYFX2xpfmZXukJD3UiHs9aQho\ncnVQKoGWWRR3uUhOGu1ngkjXtEdGcTnAk3EUF5NfuhSxUJ7Qk5djoKvz3rtpzDVZUNDoloOFZWQk\n/r45b3yJt35cUyEtUp4j7Z4YUWWNRfs69cWF5FxIc5nwaAUdrkqLN30EsuUooD1ktBVZlOoaRGER\nOoeL/y3FM7lYioC1NRkWFRZLsEznuUkRi3guQuRiIDVTTocatHI0l2Vt88JNKZ2dX3PK5pRmErCN\nPrigjza3DzNiAR+x+MKZEV84M87uv7Ozg09/+tP4wAc+UL338pe/HA899BDOP/983HvvvXjta1+L\nBx98cO1jOjhh0fNyWq/NfCaFToEUOvXLuJ5z53PFXlIFetv7IS2GTZ0KHo4ixV7IuUf+HIAl+Vmp\npmLHESJz+bOu94jCnvEL4PwyAlABOaRKPKJW7lUa/UErxqtzoXy1+4RUMGetho65buEG0b+xqLQs\n02OtiBb3ipmoWEI8S8hI6tfHzeIxz/2uJedEFB5KiEKWeOYpTseunVQ3049kkmJtXl+R8IyqjqAS\nF705KXppkV1H9nP5Bt3EcjcXIpzggGmKYUX2p7tKw87j8VMMx3V+LuK5mgIXxuZUheU62iDzs2PX\nuiq0FvtAfN/WWN5ENLT6+RGIVgDAThhv+opT5+IVp/Lr/+/v/Lu4/7333ouf+ImfwMUXX1y9d+GF\nF6b1G2+8Ee94xzvw6KOP4qKLLlrrmA5OWMRlS2z0Wu/iBrC4goRyK4mGv063Ndu/9Jzy43gpgUUP\n2wMIVvnsQ28WTKlJJCWR1ejCTTgUc6XiTEpCk7DeIqN4QiWVoL0LGWtGtPLkqvQ88dAHmPHt1nmJ\n586iICTnMqEkAlFz1yvX2VSfZf2ANy+eVL7Jzd1EezdV3iCsHydTbH0/Go1YBHGRBGwDy9SBoDec\n2pEo+0bZB3ToWxTLAcdOhUyi7//OqmU4lvC8CxnTFM8Uy44LCj7t5pIZsgTFH6uQCzyH881xTLEs\n4bc1cRd7vRQXQbBxgag4btu8XfAuqBCh4jPgGPSeEPubmndg12lg64dkO2jVWMh211134U1vepP4\n3tmzZ3HJJZdAKYUHHngAzrm1RQVwUJOB9oh1E1GROkfoOIGIcuSCezpyxILecLhXVBJSVNwBABQg\nFDzhprgxCYligr8Wycj6liIVrS/vTWSh0Jx60xkkto/D7lQ4y1qVJMSJaB1SSsWbyNEehyQqrCOE\nErYY4cYAACAASURBVK+30yEHX14vV1xHWUCWokMgI4Q8bOqfKj0ga98J6bilQqLNYXnu/AjRSkfe\nL4adsmvEscxvOuV11eINyuOZ7O+I0CBOgp+TBvuHZx7FGF3AM8Gya9yli7t4y6jipzPd2XySI5Z1\nxLNahuN1MR0cBRROArk+Kp9zq2ikUeJfwblgHE+3uSBFilr0++BGGD5kUQEAT64xQ9bjjz+O++67\nD3/0R3+UXrvzzjsBAKdPn8anPvUpfPjDH8YwDDj//PPxiU98YqNjOpiIRVzfS5vpAKk4pyCfOiLB\n3y+9GU5kdWg9giMSUwRM9G5mIxXxPZoaWIeQIhFNUyCi+KU8z0DXexafp2zIeiAjpwFr8kRb8SlU\nkb/mCGhdUrbcyyGkH+b/9zPs8espRS/qSEURfarIiRGTFD7dLyI6IoS0tnE8x+V+4DmlQuobQxmt\nkL3WVtSiToWyKIdjmI5Fm+TGuJagWDcKOdkgLCYvLpoqJW7PCQuOZ+uX8UlccVj6iLAPWFF1py3E\nsU8hscijVT69FJ/z4spUVysCWacz6es1B3ARmgo2VayxEPreXhrI8pBsnYjFBRdcgO9+97vFa6dP\nn07rt956K2699dY9H9PBp0Licq9kpHPotFapPO0h11DURCSH1JMIcSRiQb0cS8lIIecaF7RW7YHY\nYiokeDh2Ej68K6z3bIVCTKQ2AG7IwZB4EVzI17aeMcIKM5uExDk0bKdUiPPnO6afYmTKuejtSHUV\n5XWUoxVMKIZl0X+CoHCt/rdfRHTcxMVe8cvPIRMVqYspoJXeLAVGz1koI5HcOfCRLwHTxY1Qtfvr\nOhELKQ2yC+Q0SMCym0gedRcynnvCgjoHdKpN59+zDmH+/HDiXXqrikBSobGug5AiFspndyieC46O\njoKM4Z6TIEcfuYMQgoK9iMUmuEZj+5BsjALxCNnBPRdtL6TULK4halSssejn0yWy4kVDtMMnUqI3\nvJC79FGLBZHMpWTUGi1SENHo2+yHejUWIzwJcSJCLt1IjK/9dvzYXj2cdJ68GEsh6NR4AadKYVNJ\nONaei1wk1muIxcB0tr5eQddeRMXTIRUSl/sgLtIkRuEaxJ36UcRWirPuG60iwQLTVFSsi+eWgyCm\nQYCc0pyysEgfak17OXUuTBQUEpaDiLAMyxa1kIjHKL2+Bq9lJ8HjWLmM44KvHcd1Gb2QOZunsAWh\nSaLYSH2r0f/2KjAOEcs7R/BhIYczKmRd8qkERblOR4ZkImpFHqSbjUxWack85/RZEjb1WYlwg9xL\ntKJbX4FQ5BUYrxAXrUHx7UlSskKId3kmKqiwcNr/7XjeW97NpumQ8OeLFIizIULBCUcWf/y1FiFJ\nSy4uAEVudPN9cO0GsjwupoT1TX+/FJIO4iIKO7lmSr7mvRuPhGsqJGIKxLqM9dgX14o+tkRFS2Sk\nWTVjfcWI8jnsEpbnhMUcngOWnUWazbMnJDaJWsSfM6nSUXAZxwUHdyKQEme3nYqWs4BSVEjOwl7w\ne8g4Xrd48yDs4Io343KT9e77ZENFcZEJia470gP60YtGizlY7uGEGouiqFsaLdZqwg1WfI1Wjheh\nU05EfBaenvHB7eSEp3CQyfvFHG3r+KfGezPnIBW+BvJzFpWgq66VEL1Y2mIfiH0nvxf6Rq8ftt7D\nmuvHOWKxCJuNbS5Q0mvhjVSMXV8vCdNLWvcGRDFNboJr41jCRRPLIHi2BMtUgUh4nhMWFM/sBKfZ\noWJaJOxTRRAb23NYLgaoeSy7xIsEy40RfMvasn6Rfrsi7KaQCv2bfZi/h8a69LlDsnWKNw/KDrZ4\ns7W+hJik9xt/sL55tIgKVUedbQkk1LtGSokU92ipLSUjDtbUHIvPcleIPowgrvdSIXxsPEeNDoRn\n8n7rEmzvt7PfR89nInpNzr+SSWXJdYxWf75jrf421zeldf49R4CU1jLpHND13m9unb/md5ZvyIIw\nvte69jNiJN3swBwFVOtrY3qCjOei75PoY1dU0CeU9WqmVuSg6EmmLrpBHkk28zsWOAQFjitMK4Jp\nIix43dQi7o1HLDsHMsbDZxTrZBLu5oTwEcbxMy9iwUm5d7F6okG4qIU4iHMOAFXnivvk12gnXK6M\nC0BwsCQCQgCW2tzLiYDmYHfwXgYIGVXCokVGPWHBjZFQTJZSwpojVOrZiITTaTRSIXk6RWpkuVeD\n4rrn7XK9wR7riN2lXs5xExXAMgdgyXtdkUFFv3wNkd7L121tJ4He5Ah+k4NA++66UciWqBD7PPnS\nJC5oOoQ/+jTO9y1ZJA56UgmeXcC0in/PLXd4uICQxFVyDlCcTxWjF1xYBDyXfN7m356ooP0jb5PO\ntkRMoLHd2r93zzpAe+ZFLKgtVXxzJE7Wi3A12blNRHQfTkrRc+0TESoxodKkOogh1E2jFi0PgQI3\nIhcxdEpTITxiEZ/BvERYMBKi81moKGQYEfHfs46Hw8mJTEykIimR8e9tUUGvY19k0N8qeTr0cCqm\n6Ind1rp0iul6N1RyhK33W5e8R7fZeeXOQX5dEoQU72s6CZK4SDfAADEehaz6rNDmMFx8B3EUUsVj\nz1F4An1hYdnJJZNkOQMo7igIv2vd6IQoMlTahwqM4nwr5GX32nFeLvtAz1Go4MVHhhTvYbO+HNcP\nEcvTM25UyBzxrkPOrfeYzXe4JURE3ycdn4bwiLhI9/qlYkICcM/LKQIGEbFh52JUiEREc8KCNklU\nDF7AKJt/5DreW1dMlK95UeHPqyoEHBMXDklglNeRkxSq6xjPYLuPKNDRRotukK31Jf38ONmS39p6\nr4ffsO2qF1V1jSRvteUkLI5cSDVTBNtNLG+CgQLPDMtiWpNjeamw4E7CCD+EnIGux0dLHIWmyGjg\nmJ5zBaC6Jv3rxp0C3i/qPoP0emWtvtnD7RLsH7A9+YxLhUTbT4EhfjH1NOUO50jPWId8qo4vDU0r\nCAll5mAJCc0BmHs48UNi6JRGLJ4A8APhgtDzJ3g3qTx8qkVFPNn8N61LQg3Cdi7+uUjupYiLHg69\nvvNeKorrTvtI0V+K5yiwG11LYCwho9b60yVisSkRt/ZXSIECgN84alFRYnoOz2iKiRLTSP2x8uil\nftzCtYSLIjS2Lp7nhIXkJIS5LdwIqDhsg+C5x09zxZoNLNPIo6JFsTrgeMG1khyF2kngwpP2kVqc\nNvvlJkKZtkPE8jN3uOmm63OERRQv70QyEcXrPycuGh2/SUZIACtSIT1CWte7r4hI8nI2qbEQ0h9p\nPHwYZ1Z4Oew3LfVyJJHFBQXxdPz7ioRRkdNRi0ipFhVgfaMSnq4UqIBw5nhfbL2+bn8/DraUjJe8\nt/A8yFElui6Ji6U3LgHbMYxPHAURw3NYnhMUlaPA8dzCcm+Ul4UoKEQsW3qSlzlALQw3eM47CYpE\ndYmokKKRi0SGv9a0D7SFJ/mJvM/Fr9lLn5bWD8GOYvGmPuwDAHDAF0m6K1DvaJOD2KeD5nexSlT0\nPkB/AV9f0qTPbmj78BX5q+rrJX3t/J/cwzWSu8x6n93jIRxLO7DfqxgS1vzDQqd5yhzQbkflb26K\nZel7+N/oHF/r43s6KaUoWGr1n6xFw4I/vb71cHvEcPwkzhWbZI899hhe//rX46UvfSmuuuoqfPGL\nX6z2eec734kXv/jFuPrqq/HVr351o2M6uOLNrW1ta1vb2ta2tq+2TsTiXe96F17zmtfgU5/6FMZx\nxOOPP168f8899+Ab3/gGvv71r+NLX/oS3v72t4viY866EYubb74ZJ06cwI//+I+n1x599FFcf/31\n+NEf/VHccMMNeOyxx9b+o1vb2rG0p8yNPRg7Lng+5qd5a093O2IddIQRG7f//M//xN/+7d/i5ptv\nBgAMw4DnPOc5xT5333033vrWtwIAXvWqV+Gxxx7D2bNn1z6mrrB429vehs9+9rPFa7fffjuuv/56\nPPjgg/ipn/op3H777Wv/0a1tbb9tX6KTRyzEud+2xfPWDtae5oA6IraDc8XG7Z//+Z9x8cUX421v\nexte/vKX45ZbbsH3v//9Yp9HHnkEl19+edq+7LLL8PDDD699TF1hce211+KHfuiHiteoonnrW9+K\nv/zLv1z7j25ta/tt++JEzH3JMefJ44LnY36at5bsiLn2+2VHrIPu4Bzs4Bx848wj+P9u+3xq3MZx\nxFe+8hW84x3vwFe+8hVccMEFoiPhXHndFJ+5dIGtXWNx9uxZnDhxAgBw4sSJjcIkW9va1o6GbfG8\nta0db4uFmidOXYkTp65Mr3/+d+4v9rvssstw2WWX4ZWvfCUA4PWvf30lLE6ePImHHnoobT/88MM4\nefLk2se0p1EhSqmN1ExlhyJs5T96pMSoNERq0Yf4emvwdWvcJH/t8EwJJenSkR3IUe+1nx5xB27f\n8BztwH4v87AO6s9uYt2D4714XSzvEwqekhO42dCS+lAOAUTSaL0jZDFiwRu35z3vebj88svx4IMP\nAgDuu+8+/NiP/Vixz0033YSPf/zjAIAvfvGLeO5zn5scj3Vs7YjFiRMn8O1vfxvPe97z8K1vfQuX\nXHJJc9/bHgkrCjj1fwGnLg3brdFPvZGPrVFXZJRzOdKZ3oj4ejmH2+LR7kpuUM5Pwx+205hp6RHb\n/LG9fBoJ6ZG+cduifMHxseqtRxC2TAE4D8A5pK1CG5DmtVD0gITj4sfPfwf/7cK5UYkbw3nVCOeX\nLZGv+dxUSOUsFbkT0T4izXRR0Xmvj7Zel9bD9pnHgDPfxZGwjfH834BT55E3Z36ziF/6fsP6OPYf\n3gjLDVxDe/wmXNN7tvCY90W4lh7RrYGSKCQ8j/CYpFjuTd+8AnAuunhWFJzseDbBc4fnlAKgHaBQ\n4lg6941rk7HO8SzjGMXrqYuEOXLY6Vqnnzb67FHA8jrPCvmDP/gDvPnNb8bOzg5e+MIX4k/+5E9w\n5513AgBOnz6N17zmNbjnnnvwohe9CBdccAE++tGPbnRMawuLm266CR/72Mfw7ne/Gx/72Mfw2te+\ntrnvbc8PKwrAs7CecODrgEBAshfbunGUN4+SiDTKjsxFSk9cIC0RSAltcbEOEVWERL4oTbfNJsCp\nngDWk9cKnohio2QUCC4SUfrb7HfNiaOeuBCaSkvpXFNygXi9WiJDIiMU3xNuJuzsJGt5LT0Caqyf\neg5wijgUv/MtHJrtC56XCApAPocNhyHAKfy51o2jvrbz0yy1+tYCLK8jKgxpLTzHk5keDmYIniUH\nwWFeWJyHGssBzyo6CwTPS52eHp67OM7nW2uC47CscYtiXYvv9XGc10seB1D3WSzclt5zRwPL6zwr\n5Oqrr8aXv/zl4rXTp08X23fccceej6krLN70pjfh/vvvx3e/+11cfvnleN/73of3vOc9eMMb3oA/\n/uM/xhVXXIFPfvKT7S+QLs4mIqK3H7GlHU4UDEtamKO2EBh6RkxIN9MWCbWiFgUZRcaL4oKSUXPe\n4IYpeCKiUYtVbop5OTFMLnksEoEa4ffOnRfloHQm+KKBrQtEJAuKkoxa/cKfrnCN2Y0ufNXe+yxf\nP0DbNzwrtH8r3547h+R7CyEn3BTkCBO9tvXNZzaSwfqYC/0vQWwOz5vchOOy+IKI45awiCdtScQi\nNhqtiFgOfy/e+aVjW+ootJymQqBFnmw5Ces17vDRJe8j8Qx7E8C2jjBeB/sHbEdx5s2usLjrrrvE\n1++7777N/lqPhOm6ROrCfmV4K2/Mq1iwjrqAjJSDcvwmhwQaF8KoRSqEtznyoSBueffxDaeJqJgg\nC4s5ixGLc8iyETpV1A0RjrEniuZISSGdu8LT0ahFxdpkJJFNLS7BDqc6f/x0biqQW993ALZveF6H\niKX3Oq9JAhDsNVkgcoGxzFEoMK1p/wuYjqGTTfA85+GDOgkxahEe+pfEBcfyWJ2bbJ1UiOKpTdX/\nPXPRljmHISwzbTScBCBdr/K6lVyMYr0WFTLGmdHHxFfvoe67m/TzQ7Bn3mPT5wTDUk9OuLDFzSB4\nmPmmgPBeTUbljWbGm2kSUfgersBT1MJtRjwtIkot/oHo4cScrBSpWGJUWHAyYl6OiiyBkkB64iiu\nt4i50Zqh6q64aItC2gfmRWfn7t/aZU5g9EjrOJl0ajYh4a7oqHEq47h8T8Yxx3pDVKDEtJPExGKM\nQsaC6CSEI69SIT0HYU5YUCchNpLWTI4CwfNe+EnEbykoUKQ/ZHEhOnOsobrmsiOZt0nHat1T5gTw\n3Hute9YB2rGLWOzZ4slWWHax5gh49kLKnW9TMqr3jwREQEFAk0DKPZN1vBzuKfDPxy+JZFQIC35y\n4h9s9XqFTD48YsGiFlxYrPMb1iCn6DWWXiQjo8Y1nWv5V9fk1LSWEFhKQHM33eNktFvR7bi+VGxI\n+7T2S3+yfc2WXX9hvxDyVA4s1Ub6oY5iA208Uzz0ait4s+yDSVQ4lHhWZNkTFgPk+grqKDSchP1w\nhCpM03PZcRYWX792X+AYp2cNbF4GsY+1+qIkQNbotwdhz7yIRbSlXlxrvfs+2XCSF9rqdK0ObMXX\nNWwNhAAYkDSIkshmSeNkJBKUCmSkgucRBIVboe7d9ACWCIsVqoiFoqIikJFWNWkatAm1RbCMzCIB\nJULSgoezMSnVJCX1j+IGJInYXn9c1FeF9eNo6/zeFllL3xffCOtlxKHtJNRYXd4XNFhfIjfBOKJh\no8jEHC60/xVwCrDhhRSBjMKCWjyAOWHB8UyLNwmedQgpSL+BH/dSsVSIFCc7CnvCbbsv5LNE93Nl\nJssBypE+NodnsNd664doz9yIBV1vEfFc45F+sq5cJiEkwogCIS91o8V9/Hb5+UJQOFd+VllYHchI\nw4PJhPUeMOn2sKDFdCvghYUNN3prABuQkwQWvWPHP9Iz7tnEnOzKk5A2gA5EpAMRDZCdId7ob+yR\nlXG5WD2eT2WbRKSL60WuU7HeI6f+vvE5zyoKV6n/OWF7rkFYP05Gu9i6eJbOnYBpfyNw4QbQEgNL\nrrMV+0nRlCve17BwSnuBG/oijJu/2S7FM63JHOPvVxnLcB7PqV9IWI5EIJlBjeWAbxVGhSQ86+wk\nUAy38LwYyyiwjMSPpVOglYVSnkPnMSxx9vK+AAnHzUfZd/rsEkwfgknPBTlsO7inm24qKPgFLjpE\n9iyVa5HQvBejQQVILUqKbX6jo0pcEg5zJMTJiE9HEUkoBiWsAqYYOnUkPSLFY+OXtkyhZhM21DSS\nkdGACcKiJyYoES0loSAuKiLSnnxUEHE1CXFyKYVkbBIptfpD8pTj6BAemV5CSEvJ6Lga/w37gecg\nKtKoHJSOAo8kctFQOgmWXN+yn1CnQDtbY1rl/oeg3/cFz6P0esBy/CMOkPMT9A8sERYcyyuklKbW\nJZaXOAlrY5kFO1V0FDKOCwwqGcO6upauupbceSz6TLxHQBAXrb64Ln4PWVQAEJ8Lcth2cBELur1X\ngRGJyPovKwmIe6YyCami5Q5d7ss6snKejBT5rLLkRuiyl7NUZHBvoOfpOAWMscbCAW4geVqJiCKb\ntSwKC/7Hw7bSRFQEMhrUfKRijpBaYeJIRMS70YqFq1V5TWQS8ksNWUBIhJTJyCUCUlK/24ugkEjp\nOJlj63vBcHVeXXo93RAEZ0ESlNxJyDcnW+E69SEXb2gM07HvJSxjvSbBqeUwxArHUefzoFqiIuK5\nN+Fd6wDInT5GK4wKeBaOdV1xIaZvXU4P64DjIh1i05I7C6W4kJ2EMpohO48e07kvzfbD/cD0Idgz\nNxUSQ6fSxVhCQAvIPXmYVaeUSai88fS9HMVISTt2w1M2Aam6cS4VF0vCpy6eTAU4E8KoKpyUSEQT\n+dL4wZ61mDGwRSIi7UUFPzbeWiHUJS2lQpDIiIq4GLGoIw9cHPYjF5yQSiKqBYbY//aSBuGvHxfj\neAb6v20Jvovz6JopkBaWW45C3R8ajoXK+2o4OGXhIpZTehP74yBw7MST6QzgQqpxssh3ao7lEf1O\n0yEbxbBsdBnQ2EcsK+1CtMLltGZKb0Ysc+etJS5scX3qqAXn7JLni6g2T4Hsp6NwiFh+Zhdv7pWA\nxNeC5xHqC8TK70YotLzh0H1rL0fDsdAp+ax2RZ3FIi8nhiCXCoq4beEJyGmfi9UhPwsXvjiOe6cT\n6ywRFrpepsrxWLAZoxVqWeh0zRaJCMXkWDZ7lfSaktx4KSTqSIQcuZDDq1lU0L7qoGLee78ICWR5\nHG1TLHfEhSLnNBfZ9bHMRQTFcR3BYo5FdBAYnqtJnZYUNC4VFDxqIWFZxRMj4Tl5Fw2TKkqJk8Cx\nvCT6uAGWc8QCObXJI5DxeiRngddL8Hq3ZVELyUnoRiz2w1E4ZFs3YjFNE17xilfgsssuw6c//eni\nvTNnzuDnfu7n8IIXvAAA8Au/8Av47d/+7bWP6eBTIZuQkpTfZh2hX2PBog7ijUbyelmkg9/kXL75\nKeLlqE2AKBEQJyOrwu9VIZTqQo0FkMmIn6xe6BSQS7sjEcVVVR7nkmKvdYiJeIYpFaLj+WbE34hY\n8HAoj0aVtRbyzSqSEBIZoa6x2A9BcVzFRTxeKQK5CZ7ZOq2x8H9Gukbci5X6hhyxoIIj3tQqLqDF\n2AaAcVDrpDZ7eOaYdgHPVuUibBVPdMQzx3Kv00hDV8Jrac4KimVVRy2WpkUodhuYLos2bSrYlIrl\neTSqKQgF3pYizYmf4fIpdW5/IxYQtg/B1o1YfOhDH8JVV12F//qv/xLfv+6663D33Xfv6Zj0nj49\nZz1ikS5u70IL+0XPRvY8y4hEJCEasajD6nT/9igSDQsDUlBI87LGpdEhFRB7ngwHd6O4GysaOdDA\nEJsBzEDaCtArQJ8z01Z+XzMAJnzHYMj36vC3FHCOEo4HdQRjSWU5306hU5uKNmnBZr+56rrW1z4T\nV/1ZV6ynKNhcJXlnpJLYl1v9+7jYpsKhhfVKA7sS047fRBw4luWolByxmMU1LS6M/TBFIF19U21h\nuYfnc/h6wFbEmolYlvA8h+VzCJYjnk3G8yqmM1nksYXlJWmR6jWXxBitO9NhJMgcllW17PF2yfV1\n3xCwvC5uN4lkHLBNMGKT7OGHH8Y999yDX/mVX4Hj83sEa72+jh1cxKJFzC2SkYQ6rSC3DnFoVuw8\n2lloqOZNpyUq5giHXi5NmsEEC+O3tYHWFlbbQEJOIB9Veix01l4piyERMq3routpH0XOvZrv7HQO\nbajyO6XpLfgkndJcPLOCwxXnRRkHZTKRR3I3aoIJIo62eaHRIy5ORpSkiLfkUBOS1Cfn+m+LyOYC\nSUfRYl9q4XLuN/cwHfaLYkLGsoTjeScgtwnRKfB4tgnTEd8OGlp5LOdCbBtu+igFxKjKbYphjmd+\nDiKWgXoQyC4Cjl2J41m+Vzl9CZSYpgKC43YdPHOnh2HZ817Gs8fyBF1heao4NjlsazfqFBIHAVRc\nxCyT4Cyscd9pbh+i7djlqZBf+7Vfw+/93u/he9/7nvi+Ugpf+MIXcPXVV+PkyZP44Ac/iKuuumrt\nY3pqhUU84bG+sOfF9C6c5DXaELGwQVSAe6R1lEJSvGIkInXySXw/E9MEiwlWGWg1QWmTbpJZXEQx\noYDR+aVEPD0xQUmFZito5LPaP+Rv59QnnX+XzsZnUJNRJBM+uV9rTh6RlFwpLtJ5KsnIqHwNpFZe\nn/o6tUXk/PvZYyYp71b/3As5HTejeO5GHmbeFzGdvcskLio8r+cQcEzXN61SVBhMcMrAqgkqiguK\n5cpJIHhe4hxwjHIngZZHRAzzzyQ10jBaF0UFC49OLBEVs1FJl5cp8hj4L0QfdcRzhWHusPVw3I82\ny+IiOAu0Di9ExBb3V87Dc339kOzJJ5alQv76r/8al1xyCa655hqcOXNG3OflL385HnroIZx//vm4\n99578drXvhYPPvjg2sd0cMJiHSXYuvgCOHPHiR5O38uROqTcUfs3tgiMKdwEJ2WgtAVoxEIkIec9\nnViMyessG7+zICIplRpzttL5a5lCSUKabNOIhURKEhnNkhITFQMXFc4TkbbFuddFKz0c+Yax1Mup\nQ+r+pmZztMK6dv+bExW9m+khk9FGFvtSFLJ7EVXsPCQRRzGNiOllAqKHY9pvSgyXzoIl0ccYQVOD\n87htiYrYJEwvwTMXFrvkPBWYVn1HIc6kWWEafXxuEoWkEYoUqUDlJCg15Qik4BzUArDG9OJUFv+M\ns9A0rbaJkzAnEOn2IdnOEz5iYf/ub2E//3fN/b7whS/g7rvvxj333IMnnngC3/ve9/CWt7wFH//4\nx9M+F154YVq/8cYb8Y53vAOPPvooLrroorWO6eBTIZuQMgdleE0xL6fMlfduKOt1Uk5UXFzY4N0k\nMjIWsBblOHEWNpXEhPSUZB6xkESFBlIBmFUMEDMeTizOLJbIEQupSQ9QlB5NIKVBihBqFhZ1+DS0\n6gZQktJeUyOSsCw8ZylqsU5f7nlCx81iH5z7/a3fPEvsDMuujjouy73X+Jb7Se0sTLzOImJZjFig\nToMscRCosJCwHGuwJUy7Dp5psTXHcwvLrccELUmDFKlNlyOQob5CR0dBcQdBEnlLoxbz3F4Wfdos\nKqSaqTkMcyet1YcP0XZixOIVr/Yt2v9ze7Hf+9//frz//e8HANx///344Ac/WIgKADh79iwuueQS\nKKXwwAMPwDm3tqgADjpi0booSwRFg9TjFMAaDtbZgKMl3mr7/ZzLl0DAttWUyMgTUfByHSci5JTI\nJiQUz6NERDFiYUNEJBJR/O6eaSDNwmeQyYgXo7XIqOXdtIQGFRRRVAy0xsJC6SmRUcvLqb2ezdMh\nNHqhwg0tkxGQ8rJLBEavv0qfOU7G8dwj4DnPTzgfsa6lxHJdMzV/Pfk1L1NnTSyHNqkp9cVUiJ2K\nsVUWElK0QsI0x3W0lqjYRRYVUxQVAdu9PqOQsUzxTEdzLcXzXGqTiokiehGwHJpPa1oSseCRuw8i\n0gAAIABJREFUyM0cgnYfKAUILd5UvX651OHtCefDsic2myBLhVqcO++8EwBw+vRpfOpTn8KHP/xh\nDMOA888/H5/4xCc2+u6jU7y5RB2SFqMVYBEL1+2MSwo5ucCQb2jF62oiodPg5ThCRNSrmYT1HgnN\nkVGszo6T8k0kPKvVvLDoDRnreSqt8OmS4i9GRIm4jU05WZmIJEGxTDguuRlp2DBXCYlY8GKvXt9s\n3Wxbrx03k/C87nnoYJpiWZ57Zq/RRitiuXQUbBWxUC700xHyaJAVjxIKv59jeS5iMSGLCornWWHB\nGo8+LsXykhqLlN50FZYV4UMJy2XxbBaArQLtudq4trhwTFy4RQ7r2n35MG2ciUoLdt111+G6664D\n4AVFtFtvvRW33nrrng/pYIs396uRCxrJXzsHZy2c1fWwJkVJpQzJ1fnWXNDFQ6UDRkwwtSetQtMT\njJmgXSgEmzQwOLiV9s8EWAFuUnVH7UUpotGiSu7dxAgD96IiKbXIiBMRFRit4XMD6ietLx0ZsgLU\nygUyslCD9R7OYGFMOH+anE81wWAUIxe9VkaaOqNJHN8O4Xfr18X6irmb4xxR0XbcbA7P65wXyVGw\nKhVkaxvw7JBuEulaCsMW+TWWcL2071AsG+fxrF0YqrnSAdcAVgquVU/B8S0Zm7+qcBI4limmW9ab\nZ6M3nJ3jWRIVguBQ0TlYWV+HEvBshgnaZCzrgOVhAZbLUXfcuSvf62IZFsranC63rpyTZg/3HPH1\nw7QnDvnvC/bUCos46eN+E1EAmLIOalKJhLTVfqlKQVGKC56vr4lnwISJLGsAjDBBYAxqxKQMjB5h\nnIExIwYYTGqEmwzcoOEm+CebTxpYObiqDoKdE260aJMKgF1k4miJinVm9ObE1KqVkMhoQVMr59tg\nAxlZqGGCHqw/b2by51H78xqvBRV28rVYRlRJKLpwzdlSWwttAwlNnoiUJC7oOd6rQD5OFvsSL96U\nsEy3e6m/ouXz7jENuCnO1pgjCdpF0SndcFp4HRpOwpjeyXjWMNpgcAZTwLODgltpuMnBrQA3abhY\n/7COgxAtRiskPO+ixnAxrX/DuEChuF6C5R6mKwcBwDkZzyrhucTyQLBc43VM18K3qWi1OGw4CUFU\nGFdiWlvvJBRYnuuL6+KaDic+LPvBIf7thh2NiEVLYCy4yFGJ6gmAtXBWwSjnG4J3E28cSWjMEZEc\nqSiJKIoLk8TFoEfEgN6gNOzk4FYG1iKQpILjv3tJlIKPceck9FQJC05EPTJamArx4iILCr+cMOgR\nxgRRocciWuEFBV0vyagtLlqEFL1QQkzOwlgLPbksLoKoUGv2ydl+fVyFRcRzN53ReW8WyzFageAo\neAFuYp4+4jZgunYWek7AyKQFfW3K68pgUBOm4CgMyT9WcJOBDVFHtwJsOD7XOxc9R0HCMcUzFxbx\ne1vGhYokLCRxsdAxKLHtRYVeZVGhhwlqmDAMYxAVfmlU6ShkDC+LYhTRJN7clIUEbyHypQmWN2pL\n+vRhYvnJQ/zbDXtKhYULIFB7SYU0iDySkErrfqQnbJ5gyc+KmUlJuuHMiQya/sgCg0Q21AgTREWx\nnzZQE2ADKdhJeTA6l2aNXqsAiI9zp+QheThLhIXkNcV1PptgT1j0titR4aCDuNCrCXo1wQxjCJuO\nWVSoEUMhLrjQKCNMg3BtS1Jq5GMtISVroVO/KsXFWn20R0RhXzcn+I6gRTxDMbH1FGBap30ylo0m\n15Y4CT0haWBT5JFHH3NEMkcgDUYYpTEoH60wyjsOVvnIo5oAu1KwVkFZl6MWFMNSLYXUKO5aqRCO\n6XWERSu1KY3SWsdRSKkQPxRXB1ERmzHBOdAhApkiFnLkYk5cNNMfsRViIuK5dBBya/RBKQrZisKx\n191hC4tnXCokgMApAFODjCQSli569VkHTIp5Of41OhdC8kpJWqT2aueiFDX5FFELNcJoHTwe7ded\nwTQBalKBeCys1bKYoCRErTVvBRUUPBVihWXPWsKCRiwkUpIEROs15uWowcIkMhphhhFDFBIqeDtF\nfcXStIhMSOI1d7n5aAX1bnwoPoZQ/UibVj9cvyUP97gZERbOCnheJ1rBzqWyzt+4ww07OgmwKjkI\n2hJcq3wtW4XVNW7zazn9kaMWE0YvKJS/IQ7OBMdBY1AaUyqo9JFRZXWNY0lg0No6LiwojkeyLuF4\nLhXSEitSxKLlKEgiQ3IUUmrTQgcnwaw8ngdTOgdDcBry9agjjTEC2Y8+cnxHjp88lqOoCEs1uewo\npP62gaMwh+XDdhKeccKC5WQLMpojoQXi4v9v72tjJSuqdp+qvfvgO2pe8L3OSJjJxQ+IIsMwhKA3\ngcsYv6JGwOAPSAQCkhAkGAMx/vEDkhs/cuUHijHG4NcfNTFRSQSiPzyAGiQGyGsuN1dU5t6Bd5i8\ngBjwa86uWvdH1apaVbtq9+4zc87pI3slO3t3nz7du7v38/SznrWqSvkLhUWFa4wUTV7a/3gof+Gp\nclf4vOauKDIcSUlR0arO/7dxtUXSsOT+7s5TgawCWQsep18kn9yxKJVBmCgkAXUoZzhjhUXePDaU\n5cjbpSavoa7yFVeXZftUz6xr8mLrFF0kIn/sGr7SDCcvi7QJOZXISDbt5hmOEU6FRWOsE6omOmGB\niGr12KHJkArXea8Utp1iCM9jyHoOYQc8m5gkKEset15UkBMV+UgPxvU8sZm6jmkpJJRMtMcwdWih\nYXUDazsvKhTIai8qqP9dl0QFC4uSY1FKEsIIr8J+vcJiCMslPNdEBbsVM4Jace6jw7LDc9N2waVo\n4QWFkniV4q7sPg6Jiv4UAP7aSLDsp4TPsFy9VscIicLv1dJgudvC167E5vRYjK1RjSWpQEQp6Qcb\nlUlHiR+RUKOtEdGwc9G3T8WmOpfRQDoaGm7suQZZDSKCzZffzrMciH1ORrlbkddRS01J6xUWNcei\nNLdFSVjUhAf3V8y8ferFRdO4Gmw5Y+kK4mL4x6OU2aRD20wUGNZnOl5cqHBtzSGjRQmKCrX47SYs\n5LXEJZ38MxoaBTMWz37TPlnQjXeV5FbBcS4uJF5TLJdEhYlNoaoL/RUNOrRWA35zo88I1rq5N6gk\nKIYSBZ4NM2+y5ISBR3jl19R6hIXEcnFeHdSxPAfTqvWORevLmuw+6j6Wo4Doevgdch/73202RJUF\nhdgacklCjuNjKt+VRIX8bqZSSBIbKiwsE5HvsVBGEFFeGik1KdWGXPlaJ4lj8HMbj1/lrW0WF3N+\nfEq9FOX+CnYtSlW/BnKENZSC0gpo3EYzBZACUVQNboZeN/0usZpgQiiNc8+JiLcSCfHxUOQklDsW\nPDqkNAS1MiRNrZDvLieoFQD+djMzXki4Rs1WcwlkTTRj5huTUWqftkXSSu3V/L54DYg6LNm0/uqv\nS5Vda8XrML9OS7dNJCEemhiGKG4zYRHw7IWDyq6z3uc09NnkW4fwg5o+L/nfYz86hMQPSnENiqxf\nIsPvkAPZxzP/lGmQcngG47l1OCZSADXuY5G4BhCXKkcfzyVhUSpr5ngeKyzyZKEmLGp45mPG8AkU\nsT1zWNYzJyQYyy7BquM4FxelpuzFsc3XA8VRXb50qWpYHhrOO3TdCkHBScJSYPmlJiyMEBaJavRf\nODdDLUQ+HRIiYoGRiAvlSEgJImqoND9FtD/zzvEyKcXeCiv2NtnHqVkUCwsdiQiULu6uoEDKbe6z\nUn0xkRNFi1RUVEAwWljUxEWLerZTISInKpxNGo5PcMcNZzS+DtuqtTmiguuxUmCUxUWpybNWr9U8\nNwETEYnrUlxLVUExRETZ90CCfEhuZs73soTRw7NIDkLSUCPnITx3gGpjooDs82dRoVRMFOoOY2zI\nZEeiJCrkY02C61J7oMNqbHZWICEsFChiWkVLgvLEIL/dFTb+XGpYXrTBmzeJ3RzTNVExA9QJgFqx\nCabVCkGvGDQzLypkkjCI41gOaRO8DguKYUfDiBEhMUGQOB4tKOZgmq9Pxq/E8yQs0tBDf7zmmmuw\na9cu7N27N9x3yy23YPfu3di/fz/279+Pe++9t/r/xrrNWsCauJdkO0g+NaGRXyDZj4IjvKhgGxYX\nlYuzZK3X70t/5Npk36HFmth8vZEz9LaDnnXQKx30ioFeMVArNgL2BLgx5EPby7Lj0vYvYqs9Zszj\nTsiOR27qBII6wUKdYP377NCsdI6IWh5WujaXjPquRem7KY0amVceib0WirvHTZ+Mkh+/MURUEhiC\nlCQOjNg2K44rnsXGJFv8HOY4j/kmRV3IOK3Hs//xaIQDme7rdnvJoeR9imdTvAZn8NcqD6Ns/fW8\nIvFsoVfcdY8TKM4HMRbX8zB6PPCcc8jgJoWE9ZvH8ywmCQ7PEcszsZXERb8pe8ih6H+nyXcueqW4\n6ZebNXO3ovjbkQu3oWtXJAX5b9pmYzmJv1e2LYxBx+Lqq6/GjTfeiCuvvDLcp5TCTTfdhJtuumnu\nk1vOyjR8I43bs6hQ8ksdIyjmkBE7F0r52Tg1xbobDBroAsnkbkXZQo37mOFYdDDQaLPsRpZCyNun\n1PglcZQCaTE5sR80AqX7GU6e5XD5gx2LHCg5QOY5FrUphWWWk5dFOMupDEELk+Z4MlKecNWKhZYl\nkLlEJIeRpiWRvqBIhV+T/U+e4bh5LEpD0sR1mV1bo7OdwnXLRCQJaSuynOOKZ0/cWogKVcLxOjCt\nxHPC41lrX9rUXlSQTjAcsWsK9/fdihK2peOYHvvJoTMsB4dCARYECwLQgLy7QoqQLAQ25D7WsJzj\neswEWbXXynEs+6hK7iPjeYUcfhnHMxvcir5jkTqQubhIE7GaqziUIBTwnDsW4losuo4lt3fkdRuc\nCsa0F9fbwbH4+9//jgsvvBD/+Mc/cPToUVx88cX43Oc+13vcRz/6Udxzzz3YsWMHvvWtb2H//v0L\nn9KgsLjgggtw8ODB3v00tHSviKDgfOMai4tgmY4VFBVCUp2wT62wZS3CD0boJOdJsnqCol8SKTZ1\nJURkElFRWtGAWFjoSECkFawnJovGEZJSbk0npVwn2FBdVtZgmZBa9MlnrLAA5pNRTVwM2KfwRKRm\nJmY5MxMyG548Z72ORT8j7Td8DjoWSbNXap8O/ugNZTuV+2TpI8/0N5uMjhueAUCICspFxVDmV3Mg\nu0LfFP84aJ+FikRhaHhpOoGdxHG936ItJgldwHIiLKBASsNqBdsokAYg8ax8cUTB/U02bOZ4LmF5\nCM9jSyHzhEU+CV6tFLJCwIqfBEti2TdpBjz7XqnZYI9FnhxE8dC/r1TaLG9xOv7YL1USFaNLm7Xf\nJr9PsGyWQFiMHBXyspe9DD//+c+xY8cOdF2H888/H7/4xS9w/vnnh8fcfffd+P3vf4/HH38cv/71\nr3H99dfjwQcfXPiU1tVj8eUvfxnf+c53cO655+K2227DiSeeWHwcExFPkKX8l8HiIumxGMp2amqz\ndeKC/xZISXtxEUjIoPFOQl7ayDvGx9RoeVyBcy0MCLK3QroRqbBgIrK8lLmfDdj1YggimvdDbzCf\niGRn/lAM1YBLRMT31SbN8W6Fmnn7dOasUz0zcbIctRYmw2pVh5koHZUznC4hoJyMIvnk5ZJKj4UQ\nF0o2fI0hoHmTF1Wu4VCXNZGQlqV3c2E8y2vLxH6phXAsP09xTed4dq6IFxXWJg6kKTqQUUik+E5H\nc0UcN8nxEJY5UbCMZatgiYUFHH481pXSEcu1H3zZqJmv9VPD8iLCopSUlATGvCQhwbJBM+uc+xgE\nhe+X0uxS5H1T+Uy56VDxdF8uhdTwzFN5h1IIiaHiJSzPW4dlQATnToUUGCO1+cbEAmWPHTt2AACO\nHj0KY0xvSfS77roLV111FQDgLW95C55//nkcOXIEu3btWuiUFhYW119/PT796U8DAD71qU/h5ptv\nxp133ll87OeEkvrvGrhwloqLuYQ80jrNfxCUZiKiUJO1sChbpXGY6JCoaAXhSNeCCUiSUSAl5UVF\n45q8LBwRWRLCQimQslBKO8YuEZGcIXOIiGozxQ1F7fVyIsqznhoR8VwVPssJE+es+B9+btb0tulM\n9QVFXVz0iaXfBDZksbJjIUoh0rGYJ2bXmenkJHT/UeD+JRl7vm48N8CFK1FUsEXca8YeKzAG8YyA\nZXYeLQzS0mYJy30HUpZGSgKjimVODhjTpGAb7YRFExuvSRkopaEUAdqXQmoOZGnhQN5KQ3bHzs47\nBs9yq5U1w1wVAssrrk+sDTNqdsUG7L64KOM4x3TfnSwJDoHvbP6KxH3Mr7lSyanmQlZ+n9iBZKfi\n/qPA/WsD38lmxALCwlqLc845B3/4wx9w/fXX44wzzkj+/tRTT2HPnj3h9u7du/Hkk09uvLDYuXNn\nOL722mvx/ve/v/rYm72SVwpoGsBQbMYKNdQSaWeuRC87rxG/fx6lhbjQFrpRaKxBawGrojhoYMKq\ne+52JCKLOPyM92nNVY7uQDgGxLBRGcoPR+MRpYpgta8dtwTjn8HC+MwIznb1NVpqVHh/JJdGt6pO\nRmOFRS2ragC3DLK7rfi4RVilVIX5Kdxetyapv/K0vhodVtRRzLyYmKG+1YnJORvycWljWH80SEvZ\nsDYyaKzbtPELFJWuw6E6bImgBohKdpAbAv5bA5yn42/E/zRzvqMNjGPBs7URz7pW4pDHOYYlvmuf\nfQfAY1lpC60VGm1gG6BVClaxaPDft8qxbAKW40wI3AuVL8adjtgCkO4V+j/sCs7X0K3Dc9N6PFso\ntKDQOyUw3cANWQ3Xh8AwH9ewvB5hEfBMQUwocZzj2GEbUDMbRnIFPKsOWnVlDI/AdVu8r1b6zMQE\nZWuNSCzzPDQdQXXUH2VT+o0Z+j2p3A4impYIyywsnloF/mN18KFaazz66KP485//jHe/+91YXV3F\ngQMHksfkpVGlCr9nc2JhYXH48GGcfPLJAIAf/vCHSYd5HsafXxjdTY6MmIRo7BddI6LaUC1u9mJR\nYdxQc7cStoFVLpuxqoElA+NneHSeRgdbEBSScKzYWFggIaMYucjgRxlNMNq6yX8EvRnVuPIJl1F8\nTwYa5QlIedveHRMfb0gphKCCuKAgNFRDYqXSdB/mqRDd4jz7niSfFRwdJKHyNuxmyDVDWhi05AUH\nxdutv81EpI0nI0PDYmIMGRUISYoK669/Q0C3JHWQdeOZEIbphobssSRdSxYqn73q4JMEcnixCq2F\nK0uQW43UonG4piguWvCwcC5bSmEheifmCQrkOE5FhlaEThFMQ26JbnLNm0qRx7KOWObmz8YvuW6U\naD5XqVt7XEshlAkKCvhOMWzDbd1KYWFCP0UjBEJIFjAW1zJJiO5GWWSkIqJFh4b8/eTFhxcWjbFQ\nPlHAGCyXEoQ5AiTBssczv9RSNG/+2wG3cfzm1uq//Ou//ive97734Te/+U0iLE455RQcOnQo3H7y\nySdxyimnLHxKg8Li8ssvx3333YdnnnkGe/bswa233orV1VU8+uijUErhta99Lb72ta9V/1+KNxYV\nsj41lpwTIhpyL7gJTMNlopqgjUXTwLM6ubU8EEd3NMqv8YEOTSCgrics+o6FJCQAYR/ecdgpyhQW\n4Nc/aN2PNDwR+azMNXlq1+TZaNCa20cxUchwSiQ0T1jkzWTFuiwJEvJ7v/BQbz+jmNk0xq0ZICzT\nnqgYEBltdtxmx7UsJ9ioJLIaISga6uJMm8a6+n1ORPOE6xgyyu6zGRltRWJz3PHst2RujiFyLmF4\nSGBIx6JziQInCfDLqhslsAy/eBjSRKEVgiLFtOpt44SFu4fFhVKA1hYdiUTBr29itXYuqVYgrR2O\nOwVqtVtHyJBIGBDERhXP80aFDJRRVQHLPTzPrFhYzArnUZQ/fF9FjtshUZE7FbNBQZGWM4ODQUJQ\nEOPZhFlzGctqLJbnCeCKKJEN2KxjtjRGlkKeeeYZtG2LE088EX/729/ws5/9DJ/5zGeSx1x00UW4\n4447cNlll+HBBx/EiSeeuHAZBJgjLL773e/27rvmmmtGP3knfk+1z3A0IQ63m5f9zRMTtYuGyyCN\n9TOkkSsZEDlioS4QkiMfg1a5Yx7tEUVGPpRUOhVMRG6LxxkRcRlE3NYsJHjyH2uhtIXSLazWUExC\nDcE22je1KZDRve55mkdEtQu/JCwEGfWJyDoh1JBfJtn6hcQ8obZWrGzIZBSbNtfjVLSZUxGHppZI\nKa3RBlHhCaj12U5jLRpDaAyFLCcRF2Ocs5qDkd2XZzlGCIvNbvg63njWgmB7iUItQRjz2WYblza1\ndXhuvKIhQihjMn5ZVKSJQuyH6pc8UueCE4SqoBBOBZdHuBTCzxaSBEswHsuqYTxr2FbiWUUMy89h\nPT1TtTJI0mMhEgTGdOuXPW9sEBQOyzZd/lzMsJnjNHcuhhKEenLQieRA4JlxKwRGwLMQFZwoQDRi\nj8bySFwvC5aTGNnjcfjwYVx11VWw1sJaiyuuuAJvf/vbQzJx3XXX4b3vfS/uvvtuvOENb8DLX/5y\nfPOb31zXKW3szJt+H4goy27IYjyZ5+SUE5UkosY5FtoA8HPGw6+aaJQrgRglx7Tnw0qjyOhbpfG2\nzdyKoRII/GhSDq19a5jygsK2zkJtLGzTwDQaMA3QaFDbQHUkRIWCMjq1Tg2Oc48FZURkoXQkIt1Y\n6Ma4VUrFvk2WP3eZTRPmq+jXYlOhcbRKSrMBMqqNIIklEV8W8XttKa5mahBFRenHbejHMiejynUc\nGjdJ2KdbneWsI0p4biSWayIhv51jOE8ksserhsKEWdpYj2X3gVrVwOi4EGAuNPL5KEqJQl4KofAu\nK5qcoc1Ci2f61ZwkEJQfcaSaBlZ7PDcN0BKog59pVHscu2swuBVDWD7GHgsVMG3DXmcYbhoblz9n\n/AY8m1RYqFKyUBIZXXbcVXDdnwDPiQsTXIqWDFrbhR4LbXxz7xjHYkhQ1AQxiwqRKDCW7TJg+R/j\nHrZ37148/PDDvfuvu+665PYdd9xxzKe0ocIiz3AaEqWQUsfuEBHVREWBrBTXDv2yuTAK2gLGWrTa\nlT1avwIpN3/VCCj2VOgiCfE7jNeWEkfZFeeL0wpuUJvSbhYMFhSKLBS1MMbGbte2CRd0nL5c+94K\nQq8Uclx7LCCIiMnIunNtDLTfGrFJIdEqfxtdGFa6WD2Wa7LSuRjKdvojRqJ1yhmOiUuj+8ZN1aHe\nY1EjpCEyyrMcE7OcUA7BFmc564ghPPP7rH4OQ5it8QDjviHoBu56tyqO4CE4h9FjuYX2TqScgr8u\nKmSiEEUGhxQWleY1rnaS6/9Q5J9Fu8ZNRc6JNI31SQIBpgGJ6ctTPCu/fLyqY3mdPRaytyI6FsNY\nbrSJ88wIHPPtGoZX5pZBUgwPl0XEyBAuhdiIZ9crhZAguH6VgR6LdQiKJEmQOLYip9tKLP9tC1+7\nEpvmWBjy5gGT0TxnYkhIDAkM7npuCboDqEWox8Iqd5FqA2MdcBrq0Kh0jorcMs2JaDjLSUmoX5v1\nnwmvfRAozVmpIILyLkZMCzmboWQhq0RwJASkFhcWIQ11x6oBoCPxMAnBN5yGPgrdRVGhuzDKJv/B\nTxyLAVHRQmY16e2huS7k2PhwX6jBxlpsY43PfJFO450T0ZgMp+Zg5FlObp9iCbKcdUSOZyvxzInC\nUB07x2zJtSjgWbXuBbXAAA8NbrSJmFbuh8coieU6rqPrmCcK/C7nCAt+pPKJgmoFG/hnty2UEljm\n68EAZChscW4f7YhSYnldjgUl2I4iwicHOt7W3JjJfVEsKvQwvhYpa7aJcJifJKSvG0eERHFhQp9U\ndLN8krAolvPHDTiPMkkIfaJbjeWRjsVmxsY6Fn7PJb4gLmQ5RHzRPYKXYmHoeM0f856PtdsrDzCt\n4TvLCY227keQDAx1sKo/H0VfVJS3eVH6rzi3X5vc5pEhnWqglYXRLv/WsO68lF+GXbk3RFqDGg0K\nYkLFZZwtAJpzfmLuDKX9bYXQSKoECUG7YyaeRhk/SU7mEgRSiJ3dubDob0eL2Y4UFZGM+sNRe9kO\n91YwAbFValG3Stey/ZCdOvA3ysgob9zk0XDbLYbwbA1AOn3vxc85L33k09SX8MxY1uyguU17ARxn\n4vQ9AdXkIL09jOWBUkh4RBnTEtsaNmJZNTDajVExcCshu+GoHsc24pnxS5QJiyG+8dhNsBywnWJZ\n6XjseigY094lUKaH33yT2C3jNhcXXcBzvN1/zuJtxrLxWLax7NETEyVMD+F3QGCQPBYJwlJh+aXm\nWCRExNYpZUTU+YyEv8S2IDDyjCYnJUlCnOVUJoNRDcCTcLfKwvrspkQ4KRn1564oFDt8zJewORE5\ngRGFhVYNjLbB2G9gHHXmRNT4vRcWbgXVSEg0R1goTz6KBUUuLLLNdbublIiUJyIV54yoL+ZUznJW\nipapdC36oiK3T1NSMsKx8CNAOlH6WEu3uaJiSEwUSCjJcAziomMUn2q7RY7nllLHQjpo8vPokb5M\nDmp4zveMaSkyFNwEeA2hgUUL40ZhCDyXRES8DURBkbuOsqTJe1bsKb4ZyxLDAdeqgVYtTJIkuG6Q\nkCR4LFuB5xTDAEiFfTUUuVmOea/5NvwcIAU8hwSBMVxPFGru47xkYZ6DMSZJ4NFc2s8/k5Qxu4hp\nyG0OXqsYz5IDieVkEUHRI7qlpsVL2bFoqe9YWANAZDmSkFSpHjtEQNK9EHXGXGBociTQsKjQ0ZEY\nynDq21BQb5PZDbsV8dXYtO2TkVGNn+PCkxF5IiK+7YgnLM3Ox/McFeXPKRCSO3ad7RbKD5vj8kwQ\nFhkZpUTUn7K3RkZ513itJCJt1CHrNGY4npBCx7gjIu2vkcEsZwz5ZMfEtzMXrtdbsSxZzjoiwTMK\njoWCe88yQaiVOEtCo7T3eFYN/MRSEdNK+/EcyuNZGzSk0ZJys2TOcS3KjkUdL0rs4zjWm4njAAAZ\nvUlEQVSw3K3gNIU7s3wruGqisFANjLIOu0q7oeUJplUfxywsBvFcxjFCc2mKY7eX7mNMEPKF/0qJ\nwtgySM19zJOEYXEhk4SI5URU5Jge40AWEgbKj0e4j1sqLJaQTDZHWPgPX2Y4TESk48Ug3Yse6cjj\nFn0CEq4Fk5BqABKlEGjvVihPRtrCUoeWkJDLGNs0zXDqoQobgMw2dYLCjRKJY1KMbnxjmtu7Cb1c\nhmPJExEpR1CkHQlBBWLi48HzC8KCxDEcASlPQMmeorBQQlgoMQoD+ZAxPi51iNczmry/YlYgJGmv\n5qTUJLVYco5FlkUrFhp5ljPPQq3UbpmIWFzI9UH+mRwLri/3HAshKsh/vryfW9IsCArkOJZJgobH\nssezNU5UAD0c13osxoqKoXDN2C1kmzcvZxZEBUtv3aChBkaZApa9c0E6wTGABNPV8xBYhh8Gy/dx\nctDHs82wHEdjlBIFThZqyUFNTMQh42UM127zY2tYDo6jxPRYx2JsSVPguIblLRUWW7xEeik2zbEI\ngxis7y1U/ovS6Ndka6WP3LXI+yoyQspLIqpxP5pauR4Lssb/GLsYLyqi/+DeXfmyilTVdyz6tmkT\niYgdCiajxgsL8o9mIoLc+0Y0ISg4l6qHeFdMQIKcNCL5hGMIMkJORuUMh7Of+WTU9f5eEhTlLCct\ni/AIkMavI9Cwa5EJC3YvEkGRk9KIMogUGFJc1LKcLbdP1xFJopDhmRdVk4kCSo3VQ7geg2d5OwgL\nlyS4H1+TIW24pyLFcS3KrmPJrXBOZHQrOuWw3TCmKSYLVmI4O04x7Bc7G3GeWmA5xbUXEx6/8riH\n48y1qCUKQ+5jDdelESD1cqZ3KMVcNDpMbkf9/ooSdseWRGpOpMD00joWL2lhATH2l8WF/yPxKqXt\ngtlNU7mdE1CS5fgZ/BoFsmw1uvOcZ50CKa2kIE8BHz2NlLr4/r5t6oaedrDQqoGmBo1KBUYQFhAC\nI9wWNEcpodYj7RxxokIu/J4JCghhASEmlF8xVGQ4dceiLx7KPRUx0yn1U9SJSGRWZGPDl7EJCRWz\nmmOpy7JbwaKiIC7khDpbTkbrCMZzyAWkY8F4lqVNdivymXOHEoUhPBcEh9KERhOoMc41IYS1DhZx\nH/nx/e8k7ako/bSrgGEWF1zqdKKCMazhMV3BM4nbEYnKJw0pD5VCCp0gKMS7ZuyqASxrpImC7Fkq\nORZtht+hGTZLgmI0pnlUl8kcC8Z0CbtDruOQ+9hF/CbiojAiZCmw/FIWFh2rOx7765udje+t6A39\na4USnScsZF9F3rAZCAihSVErAmkLrYHG+MdZNybejQ7xDWBKoywoSpELiP7tcpaTuhVhvUbVIIe8\nVf2ZQOUzSVmQjtMvR3o+Ke2WRv3zcSAgcYbjhEXJkahlM/3spkpQJAnIk5+VROTWA9EdlUse6232\nEoJCWqVJ06Zs3LQCB9jewoLfh7EOy4ZxXcBzkigM9VfMw3NhdIhWgPVrAzXan0RDgFIOUSpOcscL\nEJZxzPflf8lFRd+1yEsfKaZreG7C+eQ4lveVMF0L+SiJ49Kz8/1xaTbTw/I8YZEPG60LjFp/Vd/5\nYPzOApZNhmVZBlkHnkfgPOA5w7Wx7vruRClkKbD8khYWvAmBsQY/ZMy4Mci8ISejecKiRko5OXmB\noUSm42ZXcVTBo0RIdXF5ZIUKEeUhOy6kqChbpx3koLi+sJA/2TbcV6KHvqhIsp1BxwLF/+plOYUt\nJyBeiWGMsGgT8imTUC4sZN9FsnYIdUhm5CODliyaNYtmjaD91usYX0RMzCuNMAl1vmvcxL6DNQus\n+Wt+jdJ/29bCwm9rBMw8llt4OFmB6c45kkmpcz14rt3vRQVplyyQmzUbRNbNvqm0wLMGVVZqZF8i\nRXp0K1Islxo3eRhpWVjYHlKG8FzGsS36Jem76OM4zpVTw3OK5fT2sLAo4bnmPA71U8WSxyyZgt9v\nxkKvWejOeiy7bSE8j8F7Jia4F5CXoOgElrtlwvJLXlhQJKPWeiJScNMCiwl2NJNH3qTJx7ktOm8L\nJAThWgBQBFI2YJX8gkGkdVxdFKpKRjH6pqp73+VKbwrsuPZi549tD+YpGUmLNyWjRYVF7lgMuxZp\nltMnIXc7JaLSXBayLNLPenIxUSelltYcEdnYU9Fa60ogHaHprHcp5pBRLeOpkVHhPh6KZrJ9ENGS\nkJYhy1lH9ISFwPPMumNtnAvICQILitDrJPGcz1MxBsPZtPNKqehCKgDKOneS3NDT1uPZBizX359s\nyXZRdxxVhkTXRRGXL4wORooSKTDKOM5LN32E1s8//a8c0/W0pO88MpZr4iLHc4rr+W5jsQ8jwXLn\nEgRrPY6dqNC8LHqOz3l4XsC5oA6wnccwlz58ktDZmCTIRGFLsTzyxa+55hr85Cc/wc6dO/Hb3/62\n9/fV1VVcfPHFeN3rXgcAuPTSS/HJT35yXae0qaWQNQAz+C9Hu33jmzgbSURyeJokpNIEWDVCKs2V\nz/MzKCdoXHql/TAswGo3/JRI+WXW1ahG8VKW089qSgA3aDJR4SYYT3OHsmMh68d9YSFJad65l+Yi\njM+avkqZiKQU6hNRFBfl0RvzxUW907ylNbS2w8waLyzc1nQEtTZARqX+inkZTcW5yN0KLn907FjI\nEsiykNE6IhEWMmOzwJp2yYJWLkloBJYpx3FpP09glPDskwSllHcg2Y10jZxtY1ySwHJBy66neZH/\njPdFOGOiSRzIKCoklofx3GeGVFTIV62H45wSE6TYzTGdC4oUy0OjvEoN1OsUF+QShZggGLSGsewS\nBOlWqNyFXI9DUXMt2HX04oK3tcyB3G5JwtVXX40bb7wRV155ZfUxF154Ie66665jfq1NExZsla6R\n27cWaJXjB3Yr2D7l+lbIcmrDS2sio3TMROQn1oEmaA0/T4OCUXBExHBUcK4FaO5FM5Tl6II9KUsg\nw9bpmDJIJKV+lpP6KP0oORYyyxnKdFISkmKjZp/Wmy2HSahfKhF/J5HpGBOaNZs1JyZUF0moR0SL\nlETmjIWnXFSYKCxKomK7kJGM3LFYAzDj92SBTsVEAb4cYqV7IV3H9eJZ3FbaNY0qj2VSBKUVlHYJ\ngUsQvJjwzaVEtI5koV7S7G9NOB4nKmo/+SVRsZhjUT7X+eWQPpbrpc1UUPTLnWOFRRz9IbBsPJa5\nBCKwnGByURzPcSuShmuP4064FcuH5bVRj7rgggtw8ODBwcfQcVr0ZHObNyE2AtaU4wkWFbIumxBJ\n7lSMsUyrroUrg5AnJdIEaGenuuFdHbi73TPRIBExcF2k0O+Du+9WDFmni2Q4Q9OO18+9TJgl+1RS\nHp9VKi7cXoqIGhE1iKM94vFYcdGViYgzHGNdTVa4FJGMqE9GQ8JhDGGJznF2LRJR4TOcNQjrdBtl\nOTJyYcEfZws3R01IFASWbQfn/nGikAuK9eBZxeM4wyS50qUmaK2gFECNBSnjEgT+nyxK6EgxDeQC\nfEhsc1nTuRh1URHxXJIodVEx37EYEhZD5ZByotBPEGriotagPa8BW2LbYMbuo/Fb5/ql4BuvI6ZR\ndiCH3MjS/RVxYYVTIfG8nFg+PnN6K6Xwq1/9Cvv27cMpp5yCL37xizjjjDPW9Vxb12OhHBmtAYBv\n+NLcKJOXQUqW6RAZ5QQk9kxE8A2c0MoRk1YgGO9UuHMinRqnebd4DvVcVAzXM/uigskoJZ4I81p2\n089w8lazeqSUVSrdpK+is7OShKRhR2U4TeG+nHjGCAtXl42rljZMSGtW9FO4i24UEY1pBCv1Vwgy\nspKMTCSicO2Lf93OwoKdR5kktOTgp2xsxG64FJKXOHI8L1rWlKUQ7RIFiWcoEs4j3H0E7z+mIz3y\n6GOaEVX3DdNeqXi7hOM+noewPM6tSM+3JCzqeJ6XKNTcx3HiooTj0pDz2LgZSiGd23QnQLSIqFhP\nOaRQCklKmigkydhqLLOw+CWAX637Wc455xwcOnQIO3bswD333INLLrkEv/vd79b1XJsqLEJ2g0hM\njR+Y0dmUiCxPtOPJRR73yGgdmwpiw4kMx0cOgA0404FgHn8jKoeiVSqPa5ZpaUQI91k0iTuRkhDD\nv1QxLfsOepCMcjExxj5VCSWmoqJsnw4TkiyRDImLlnwJhMTiRaYLVmnjMxt2Koo9FUONmwsSUD7t\nryyD8LBS2eBV4r/tFhLPLCqkY8FJg6I4OsQITJPAb29eirG4zpMFURYBCwgFaKX84mQKDZR3LYz/\nO2NZADzs+jjm4zjvTAnXfVHRwCZdSPUkoV4KKXmKtShhGMVzLSU9fVHBPRb9huySsIiPG8Sxx3CC\naTjXsWGHIsdy3nRdSgLmuRZ5YiD+LrFsJZ49juUw8drLLIewOMdvHLct9CyvfOUrw/F73vMefOQj\nH8Fzzz2HV73qVQuf0YYKCyZPJqIWmbiAz3A8EfE4YaOBtnNZSE44+bS+1aym4FbM3fM6IlAg2PhG\nCPDzXEdOgsuW3Psb/mFOhYTbDLgWy93k7GLUREXTI59IETwR1mKlkNq5I7NO+6/YJyE+03wq4OYY\nyYiJKA5FE5mNsWjXTKzBrglBcRTjhcUCG0ky8vdZT0jWojdXRU1UbD0ZLR6MZ40+jvm4AcIK4dq4\nBMF2bkK8MLW+wLQaEhFj8ZwfKwAgnzP4RCEoBwpYdpvXF0A6Y+Wc5KCE6xKma06FQ04dy2UcjxMW\npWShlCBE97GWJPAorzRJyLFccyB7OIYfxcWjuQSWZ75Js+kM9JpNBUWO5WPBthAVjGHKRIbJkoQh\nXcPH26HHYl4cOXIEO3fuhFIKDz30EIhoXaIC2CRhMUREHXmuIaDxwsIqT0TK1WWTtT8426kRzyLC\nI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"text": [
"<matplotlib.figure.Figure at 0x8579f60>"
]
}
],
"prompt_number": 76
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"There is also a very powerful option called axes_grid1, which we will discuss in the mpl_toolkits section."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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