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@thriveth
Created October 18, 2013 00:04
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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Creating plots with Matplotlib \n",
"\n",
"After having gotten a basic hold on NumPy arrays, it is time to dive into the fascinating world of data visualization. We are going to use Matplotlib - the most popular and mature plotting library for Python.\n",
"\n",
"> **Please note**: I am using the notebook interface to write this, since it is great for making\n",
"> demos of all the feature. However, I recommend that you try the code below in the terminal or QtConsole \n",
"> interface, as these have some features that this doesn't. \n",
"> For example, the plots will show up in an interactive window that allow, panning, zooming, etc., unlike this \n",
"> interface that produces static raster images of the plots.\n",
"\n",
"First, the imports. Remember to **not** run the `%matplotlib inline` part, and remember to add `plt.show()` when running these examples in the terminal/QtConsole."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import scipy as sp\n",
"import matplotlib.pyplot as plt\n",
"# The following line should only be used in the Notebook:\n",
"% matplotlib inline"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The most important input to all functions in Matplotlib is the data arrays. Matplotlib does **not** by default offer a way to plot a symbolic expression like \"$y = sin^2(x^2) \\sqrt{x}$\". For this, see the SymPy package which we shall not look at now.\n",
"\n",
"If one wants to plot the above expression in Matplotlib, the way to do it is to define an array of index (\"$x$\") values, and define another array containing the function values (\"$y$\") like this:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"x = sp.linspace(0, 10, 1000) # 1000 elements equally spaced between 0 and 10 \n",
"y = sp.sin(x**2)**2 * sp.sqrt(x)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The most basic `pyplot` function is simply `plot()`, and the simplest possible input to give it is a sequence of numbers. This sequence will be interpreted as the $y$ values, and it will automatically generate a vector of integers of the same length as the $x$ values:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(y)\n",
"# plt.show() # remember to tun this when not in the Notebook!"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 3,
"text": [
"[<matplotlib.lines.Line2D at 0x3eb7a90>]"
]
},
{
"metadata": {},
"output_type": "display_data",
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d3UItu4ACtD42jquydyVxGpP6uSh7nXUCCIVmqllDyGrjhMrGoXYfG8ek7KnN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\nAf4/AX9lEmWQS5kAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2a3e450>"
]
}
],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This means it is really easy and quick to take a quick-'n'-dirty look at a dataset just to see what it looks like. \n",
"\n",
"If you instead pass it **two** sequences, they will be interpreted as $(x, y)$ values. If you write several plot commands before `plt.show()`, they will all be put into the same plot (unless you create *subplots*, more about that later). You can control color, linewidth, linestyle, marker style, transparency and many other things, you can type:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot?"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"in the IPython console to see the documentation (it is very helpful if you take your time to read it!). Now let us try to play a bit:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(x, y, color='orange', linewidth=1.2)\n",
"plt.plot(x, sp.sqrt(x), color='black', linestyle='--', \n",
" linewidth=10., alpha=.4)\n",
"plt.plot(x[::30], x[::30] / 2., 'b*', mec='b', ms=10)\n",
"plt.grid()\n",
"plt.title('My fantastic plot')\n",
"plt.xlabel('x values')\n",
"plt.ylabel('y values')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 5,
"text": [
"<matplotlib.text.Text at 0x4148690>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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jaUIERK9rE+SQvojoQzrXDAkCNicldvZe3+Z82SsXLFiAbdu2qQmApk6dys0j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\nSUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x3e97610>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Working with data files\n",
"\n",
"We now know how to easily generate data and plot them. But often, we already have our data from an instrument or a measurement or something, most often in the form of a text file. As an example here, I am using a quasar spectrum with absorption lines from two galaxies on the its line of sight to Earth. The data can be found in the file `SpecVis.ascii`. \n",
"\n",
"To read the data into a NumPy `Array` object, we use the function `sp.loadtxt()`:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"data_array = sp.loadtxt('SpecVis.ascii')\n",
"print(data_array.shape)\n",
"data_array"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"(20431, 3)\n"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 7,
"text": [
"array([[ 5.30175000e+03, -1.61844949e+04, 5.74864778e+06],\n",
" [ 5.30200000e+03, -1.97178349e+03, 3.30944071e+06],\n",
" [ 5.30225000e+03, 1.74242625e+03, 2.71321435e+06],\n",
" ..., \n",
" [ 1.04087500e+04, 1.31605483e+02, 1.95303308e+02],\n",
" [ 1.04090000e+04, 3.99332199e+02, 5.82233267e+02],\n",
" [ 1.04092500e+04, 1.43806093e+02, 5.82274721e+02]])"
]
}
],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The data contains three columns: Wavelength, data and standard deviation. For convenience, we will assigneach of these columns to its own array and try to plot it to inspect our data:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"wave = data_array[:, 0]\n",
"data = data_array[:, 1]\n",
"errs = data_array[:, 2]\n",
"plt.plot(wave, data, 'k-', lw=.5)\n",
"plt.plot(wave, errs, 'g-', lw=1.5, alpha=.4)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 8,
"text": [
"[<matplotlib.lines.Line2D at 0x414e6d0>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x414eb50>"
]
}
],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"At this point, I recommend you play a bit around with this plot in the interactive Matplotlib window. Try to zoom, pan, and all the other functions in the toolbar.\n",
"\n",
"However, since this is a rather large dataset ($\\sim 20000$ bins) and the inline Notebook plots don't have interactive capabilities, I will 'manually' zoom in on an interesting region here, using the `axis()` function:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(wave, data, 'k-', lw=.5)\n",
"plt.plot(wave, errs, 'g-', lw=1.5, alpha=.4)\n",
"\n",
"plt.axis((5500, 10000, 0, 200))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 9,
"text": [
"(5500, 10000, 0, 200)"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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EyDdp6Y244WXlGRcXJzECeOGFF/Dmm28K+yfUpuHk71Kpc7Fq1SosXrxYUnfs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\npfWG65T2wpMAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x4148a90>"
]
}
],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Legend & text\n",
"\n",
"Often, we want to have a key to the plot describing what each element represents.\n",
"There are, as always, several ways to do this, but the simplest is to pass a `label` keyword to each call to `plot()`, and then call the `legend()` function afterward.\n",
"\n",
"Note that text inside pairs of \\$ -signs is automatically interpreted as $\\LaTeX$ code, which means it is really easy to write arbitrary equations, symbols etc. in Matplotlib plots.\n",
"\n",
"(Matplotlib understands most standard $\\LaTeX$ code, but sometimes it gets too hairy. In that case, it is possible to actually make $\\LaTeX$ do the rendering, but we are not going to do that now).\n",
"\n",
"With the `figtext()` and `annotate()` functions combined with the $\\LaTeX$ capabilities, it is quite simple to write arbitrary text anywhere you want in the plot. Annotate also supports all sorts of fancy arrows, but I'm not gonna go into that here, look it up yourself if you're feeling adventurous.\n",
"\n",
"For now, let us try to show off with a bunch of fancy features:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(wave, data, 'k-', lw=.8, drawstyle='steps-mid', label='QSO data')\n",
"plt.plot(wave, errs, 'g-', lw=1.5, alpha=.8, label='Standard deviation $\\sigma$')\n",
"plt.axis((6250, 6480, 0, 150))\n",
"plt.legend(loc='best', shadow=True, fancybox=True) \n",
"plt.xlabel('Wavelength $[\\AA]$')\n",
"plt.ylabel('Flux in some unit')\n",
"plt.title('Nice region of the QSO spectrum from before')\n",
"# The following formula doesn't make sense:\n",
"plt.annotate('$f(x) = \\oint_{-\\infty}^{2 \\pi} sin(x^2) x^{-1}$', \n",
" (.45, .25), xycoords='axes fraction', fontsize='xx-large') \n",
"plt.grid()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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oXCeoKxUVFSgrK8OoUaMAAJaWlrhx4wbevHlTf0HfQzp27Ih9+/YhIyMD8fHx\nyM7OxhdffCEz/8GDB9G1a1cYGBjAwMAA8fHxYjGSq8YcbtWqFQoLCwFUTreIXuAieDxejeVWDxHZ\nrl075rus8qQpfnl1p6WlMWEvRZ+QkBA8f/4cADB+/Hgm9G1YWBg++eSTerePLLKzs8XuTyRjdnY2\ncyyrbauTl5eHmTNn4uDBg4iKisLgwYPxyy+/NJgCANiFYZY60rZtWzx8+FAiXWSiFxkZiYkTJ9ap\nzAULFuD27dvMsWh9QFEoIuZCfXvwiqJDhw4ICAjAnj17AMgO5RgZGckEe+natWutRlzm5ubIysqS\nKM/Ozg5paWmYNm0aoqKiaiy3qjw1lVeXuoFK5WJtbY2kJOmjsrFjx2L+/PnIysrCsWPHcP36dan5\n5LVPTdZIFhYWyMjIABEx+dLS0tCxY0ep+Wsq68cff8Rnn33GLPCXlpYyQYAaCnYkwFIjBQUFOHXq\nFLKyshAVFSXW65KGKMh4XcjLy2O+l5aW4vPPPwcAHD58mEl/8OBBnct9n/j333+xadMm5gWZkZGB\nQ4cOoXfv3gAqQzkmJycz+d8llGOfPn2gpqaGH374AeXl5fjzzz+ZKcKioiKoqKjUqVw3NzeZ5dU1\nb8+ePcHlcrFu3ToUFxdDIBAgPj6eMZU1MTHBgAEDEBgYCBsbG3To0EFqPfLap3p7VqVXr17Q1tbG\nunXrUF5ejujoaJw6dQq+vr5S89ekeAsKCuDg4AAASEhIgKOjI9TV1WXmrw8KUwKTJ0+GqakpnJ2d\nmbQFCxagU6dOcHFxgZeXl9hwPyQkBO3bt0fHjh0VultUmcnJyWnwMu/evQtPT0989913GDRoEPbt\n28ec09DQkMhfH3tt0f4AVVVVaGhoYPLkydDR0cHx48dx+vRpfPDBBzJ7dvVBGfcJcLlcxMTEoFev\nXtDV1UWfPn3QuXNnbNy4EQCwZMkSfPvttzAwMMCmTZvqHMqxqi2+hoYG/vzzT+zfvx9GRkb4/fff\nMWbMGABAp06d6hwiUl1dXWZ5dc2rqqqKU6dOITY2FjY2NjAxMcH06dORn5/P5Bk/fjwiIiIwfvx4\nmTLJa5/q7VldxpMnTyI8PBwmJiaYPXs2QkNDYW9vL7dtq/Ppp5/i/PnzOHr0KC5cuIA1a9bIlLne\nNMiStBQuXrxId+7cIScnJybt/PnzJBAIiIho0aJFtGjRIiIiSkhIIBcXFyorK6OUlBSytbVl8lVF\ngeIqBb2pQRvFAAAgAElEQVR7937nNvr333+pT58+zLGJiQkBIGtra5oxYwY5ODjQ3bt3GSugpKQk\n+uSTTxgroe+++67OdQYHB9Px48fF0n799VcCQCkpKbRy5Uo6duzYO93Xu8I+eywtAdTDOkhhIwF3\nd3cYGBiIpQ0dOhQqKpVV9urVC5mZmQCA48ePw8/PD+rq6uDz+bCzs8ONGzcUJZrSoq+vD2Nj41rl\nXbhwIe7cuSORHhYWhmvXrjHHubm5ACqH0T/++CMSEhLQpUsXpufSvn37BpBcko8//lgh5QLKuU+A\nhaW+NNmawN69exnzv+zsbFhaWjLnLC0tJRZ/WBqW9evXIy4uTiL9yZMnACpf/rWdI66t4pFFTeZx\nLCwsiqVJlMB3330HDQ2NGufkGtIPyfvEu7huACrnezkcDiZNmiS2nvP06VOZ12zatAnx8fFSY9o+\nevRIqpVHVa5fv17jvHFBQQF8fX0bzMW0Mq4JsLDUl0Y3Ed2/fz/OnDkjtj1bZFIlIjMzU8IWWERg\nYCD4fD6AyumPLl26MD9q0TD/fT1++fKl2BZ6efkfPHggZi4ZHR2NnJwcEBFOnz4NHR0dvH37FkCl\n1cfFixfB4XCklufo6Ag7OztmJCE6HxcXx1hRyJKnbdu2MDQ0FDuvpaWFOXPmICkpibmvv//+G6Wl\npYiLi8Py5csbvX1ZWFoKycnJCAwMBADmfSkTRS5SpKSkiC0Mh4eHk4ODA+Xm5orlEy0Ml5aWMtu8\npbkfULC4LZ7hw4eTsbFxrfICoP3794ulPX78mACQjY0NGRoa0siRI0lNTY0AkJ+fn9wy//jjD4mF\n4cuXL8v9v3Xr1q3G81OnTiUA9PbtW/rqq68IABUWFsqVRxb1cRuhoqJCpaWl9a6ThUXRlJeXk4qK\nSvNZGPbz84Obmxv+/fdftGvXDnv37sXnn3+OwsJCDB06FF27dsWsWbMAVJpjeXt7w8HBAR4eHti+\nfTs7HdQInDhxQuy46oYtAAgKCsKFCxcAvLt//48++qje0zlLliwBAOjo6DBrRbq6ujh48OA7yVQX\n+Hw+Y2vOwtIcSUtLkzDGqQ0Kmw4Sbc2uyuTJk2XmX7p0KZYuXaoocd4bXrx4gZycHJibm9eYz9LS\nElevXsXOnTuRnJyMTz/9lDnXqlUrvH79Gq6urkza9OnT30mukydPoqKiAqqqqnW+1sbGBps2bcK8\nefOY58rMzAxv377Fpk2bUFFRgYULF9a6vPpM73z33Xfw8vLCn3/+CVdXV6l7JFhYmori4mLMmTMH\n7u7uICKZ7rmlwbqNUDIGDx6M3NxcuUpAQ0MDmZmZzMvf2dkZWlpaWLt2LYRCYb38+quoqOD8+fMK\nUebjxo1Deno6tmzZgrS0NJw7dw4CgQCHDh1CSUlJnZRAffD19UVRURHGjBmD58+f18tHEguLolBT\nU0Pnzp0xe/ZsvHr1qk5OHFkloGS8evUKv/32Gzp37sykZWZmgsfjQSAQgIhQVFTEnBs+fDiSk5MR\nEBAAoHIKKDg4uF51jxgxAvPnK8aHjqWlJVavXo0ZM2bAysoK5ubmmDt3LoyNjes8uqiv76DJkydj\n0KBBOHnypNIEFJFFbUaT7zvNrY04HA7evHkDJycndO3atdbXsUpAyfjwww8l5u937NjB9FyvXr0q\nZo65d+9evHnzBp06dQKAd/LcqampWa85ydrSqlUrxgnXkCFDYGZmhoqKCoXVJw0+n48pU6agoKBA\nqRXB9evXGb9DLNJpjm2kqamJ1q1bM5tyawOrBJQMBwcHiQXeqlMX5eXlzHdbW1vo6uqKvfil7TNY\nvnw5oySUgXc1+dTW1m5wT47NDUXu2FYWlKWNWC+iSkhxcTHCwsJknhd5IXz06BG4XC6sra2ZjWHS\n5vNXrVol39a4iTAyMsK9e/fE0ioqKmoMT8jCwvIfrBJQMhITE5GSkiI1WMbx48cBVPpwqoqmpib+\n/vtvxMbGgsvlNoqcIp4/f15vN9FXr15l/BwNHTqUmRpatmwZ435XGqzvIPmwbSQfZWkjdjroPWDH\njh3w8fHBggUL4O3tDTMzM0yaNEksj6mpKUxNTRtdtuTkZAmlVBtEi8GvX78GAFy4cAGlpaVQU1PD\n69evkZKS0qBysrAoK+xIQMmo3gOOj49Hfn4+HBwc8OjRI1y+fBkGBgbYu3dvs9mQZ2VlVedr1NXV\ncfPmTWhoaDCxaxMSEgBUuhMBZG9wY91AyIdtI/koSxuxSkDJyc3Nxbx585jdujdu3EBpaWkTS9Uw\nuLq6orS0lAkI/vvvvwMA9PT0AEDMFJaFhUU6rBJo4VQP/C5rk5fI739xcTHz0mwMTp06xexZUJTy\n8ff3x/3793Hy5Enk5eUx0bRESqE6yjKXq0jYNpKPsrQRqwRaOHp6eowPpuo8f/4cP/30EzQ1NTFh\nwgTG5YKLi0ujyffixQvs2LEDy5YtU6jysbe3h5GREZKTk/Hq1St4eHhg1qxZ2LFjB4BKM1l2ZMDC\nIgmrBJQA0YsOEF8TOHfuHDQ1NeHj4yOWXzRn3hioqqpCXV0dixcvFhsJlJWVwdjYWCzIfENQPabB\nxYsXIRAIsH//fujo6ABQnrlcRcK2kXyUpY1Y6yAlJDs7W2p6nz59EBoa2sjSSKe8vBwvX76UmM6q\nLyoqKmJhMUUcPnwYBQUF+PDDDxukHhYWZYMdCbRwOnToILabNzExEbGxsTA0NERUVBQePXrEnOPx\neFKjfzUloaGhKCsre+dy1NXVxVxWVN0ZnZaWJpZXWeZyFQnbRvJRljZilUALYsaMGfjrr78AAJGR\nkZg6dSoKCgrw+vVrCXPI3r17Y9++fbh8+XJTiFprzpw5g+HDhzdIWcXFxYySq+oqIz4+nlk3SU9P\nb5C6WFiUBVYJtCB2796NmJgYAMD58+fx888/Y+zYsbC2tsaVK1cASO4TaGzu3LmDnJycOl3zwQcf\nNLgcurq6ACothAwNDZn0srIypZnLVSRsG8lHWdqIVQItDNEGL9FfKysruLu74+LFizh79qzUa2xs\nbBpNvnHjxjHRv2pLQztjIyKMGTMGGhoaGDduXL0C2bCwvC+wSqCFUdUSqCoiBSBtn4CoV9wY1MWV\ntIqKCtq1a9dgdaupqTEudP39/WXuGFaWuVxFwraRfJSljVgl0IL44IMPmN2w1YmLixM7biirG0Xy\nv//9r0Hn6KOiorBixQoAlSMlkULIzc1l8vz6668NVh8LizLAKoEWwsmTJ3Hu3DmJdIFAgPz8fJSU\nlEBbWxs9evQAAEybNg1RUVG4fv16Y4vaZLi6usLOzk4ivV+/fsz34OBgpZnLVSRsG8lHWdqIVQIt\nBNHCb0ZGBhYuXAgjIyPY2tpi8ODByMjIAAC8ffuW2RBlZmaGAQMGoFevXk0mc3NBtFhuYWHRxJKw\nsDQ/5CoBf3//WqVVZ/LkyTA1NWWClQBAXl4ehg4dCnt7ewwbNoxxAwwAISEhaN++PTp27Ijz58/X\nVn6l4OTJk8jPz5d67s6dO3jw4IHY4un69euxYMECfPPNN+jevTsAMLFOY2NjFS9wHbh7925Ti8CQ\nmZmJbt26Kc1criJh20g+ytJGcpVAfHy82HFFRYVE+EJpTJo0ScJaZc2aNRg6dCiSkpIwePBgrFmz\nBkDlYuZvv/2GxMREnD17FrNmzRKz81Z2PvroI5lt+vHHH8PBwQHHjx9vkfPZSUlJcHR0BFBpo//z\nzz83ugyGhoZSp4lYWFhqUAKrV68Gl8tFXFwcuFwu82nTpg3jv70m3N3dJSxFTpw4gYCAAABAQEAA\njh07BqAy4pWfnx/U1dXB5/NhZ2eHGzduvMt9tQimTZuGb775psY8IhfQd+7cgbu7u1TrIIFAwPjl\n6dKlS8ML+g7Y2Ngwo5jU1FRMnTq10UM/rlq1SsxqSlnmchUJ20byUZY2kqkEli5dioKCAnz11Vco\nKChgPnl5eUwPvq48e/aMiV5lamqKZ8+eAaj0dWNpacnks7S0rLOteUvj5cuX+OmnnxAcHAwAGD16\ntNj5Xbt24dGjR2J+gNq1a4eZM2diw4YNYnk///xzbNu2TeEyvwtVA9hXt2RSNCoqKkxcZRYWFnFk\nKoGHDx8CqNz8c+fOHYnPu8LhcGqMbNVcol4pgpKSEiber4g3b94wvf7MzEzMnDkT9vb2Uq+fP3++\n2LGHhwf8/PwANL81ARFqav/5Kvzpp5+aUBLlmctVJGwbyUdZ2kimF9GNGzdiz549mD9/vtQXclRU\nVJ0rMzU1xdOnT2FmZoacnBy0adMGQKXVhsjCBah8Ccqy5AgMDASfzwdQ6RK5S5cuzLBM9E9p7scG\nBgaYMmWKxL2pqamhS5cu2LBhA3r27MlMiZmbm0MgEEiUl5iYiOjoaLHyHz9+zJTXFPdXdeQSHR0t\nsV+Bz+dDQ0MDQGV84OryK1q+hIQExn11c3ke2OOWeSzqcDUXeaoeR0dHY//+/QDAvC9lQgokJSWF\nnJycmOMFCxbQmjVriIgoJCSEFi1aRERECQkJ5OLiQqWlpfTkyROysbEhoVAoUZ6CxW00YmNjCUCN\nn8DAQAoLCyMAFB4eTkeOHBErAwD98ssvEmVHREQQADp//nxj3Y4Y06dPp5s3bzLH3bp1Y74DICcn\nJ5o9ezYVFhaSu7t7o8v38ccf06VLlxq9XhaWpqSmd2et4glcvXoVqampqKioYNImTpxY4zV+fn74\n559/8OLFC7Rr1w4rV67E4sWL4e3tjZ9//hl8Pp8J/+fg4ABvb284ODhATU0N27dvV+rpINFUG4/H\nQ/v27XHhwgUAlesAPj4+TNCXsWPHYsiQITAxMZEow8/Pr0VavFQ+j8Cff/7JBIZvTOoT1J6FRZmR\nqwQmTJiAJ0+eoEuXLmKOuOQpAVEow+qIXnjVWbp0KZYuXSpPHKXA19cXANCjRw9MmzYNFy5cYF6O\nImJjY6Guri5VAQBAWFiY1PTmuiYAVL7409LS8OjRI0ycOBHbt29vEjnu3r2Lvn37NkndLYWq03Qs\n0lGWNpKrBG7fvo3ExESl7pk3BaKRUGxsLLPRS0RaWlqDBFppbowePRq3b9/Gl19+CXNzc8yYMaOp\nRaozNjY2OH36tFggHxaWlozczWJOTk519g/PIp1bt25h7ty5zDGHw0HXrl0lwkFaWVnVe6qnue0T\nqE737t3RqlUr9O3bl3Hw1th07dqV+f7mzRusX78egYGBYtHIqhMXF4fNmzcjJSUFz58/BwA8f/5c\nYgSnLChDD1fRKEsbyR0J5ObmwsHBAT179oSmpiaAypfXiRMnFC6cspGQkIAffvihqcVockTWQc2B\nuLg4LFy4EADwww8/yNxPcObMGSxevBhA5VSnu7s7TE1N8ejRoxa5NsPCIkKuEhBtZmJpWBT1ImzO\nawIi3rx5g6Kioiarv+qaQGhoaK2uqZpv165dcHV1BQAxYwllQlnmuxWJsrSRXCWgDDfZ1KipqeHW\nrVvMsb29PRMr+H1F9BJtalq1aoXOnTvj/v37MvNcunQJCQkJCAwMROfOnXHlyhUcOXIEALB161Z8\n9913jEUXC0tLQ64S0NXVZRaFy8rKUF5eDl1dXZleL1kkEQgEeP36NU6fPo3Nmzfjiy++UFhdzWlN\noKysTMxTbFVE3k+bgqprAocPHxZzWSINLy8v7N69G9OmTQMAlJeXY9GiRXB0dGQsnIqKipCTkwNj\nY2Ns27YNBgYGKCgoaNSobg0J2/mTj7K0kVwlUFhYyHwXCoU4ceLEexWo5F2pGuIwKysLPj4+TShN\n43LmzBm0bdtWIt3X17dR4x7XhKGhIXr27CnTi+u///6LFy9eMAqgKsuWLcP48eMlTF1HjBgBAEpp\n4cWifNTJPENFRQUff/yxzIDm7wvbt2/HunXrapX34sWLzHd1dXVmcV1RNKc1AaFQCA8PD4n0Q4cO\nMe6lm4KqMQ60tbVhbGwMoHLapzpv377F1KlTxdJEPp569uwpdfPZJ5980pDiNgkiFwQsslGWNpI7\nEjh69CjzXSgU4vbt22jVqpVChWruhIWF4dmzZ4xVSW1IS0vDP//8IxYchqV5EBwcDBMTE6SkpNQq\nf0BAAJYuXQpTU1Ps378fgwYNwr179+Di4qJgSVlYGh65SuDkyZPMmoCamhr4fL6EB0xlYfDgwZg1\naxbGjBlTYz5VVVWx3dO1ITAwEFwuV8ylsiJoTmsCzZWqawJA5QhXV1dXqsVSTEyMRPyDtm3bMvsD\nRDEznJ2dsWjRIsTGxkqNBd3SUJb5bkWiLG0kVwmIPNG9D0RGRmLYsGENWmZmZibzvXqUNmWkvLwc\nb968aWox6oyKigr++usvfPbZZwAq93Q4OTlh0KBBEtNB0uBwOEycDXZ3PUtLgg00X0dev36Nt2/f\n1jr/qVOnAFQGymkM52VNvSZgY2PDOAZsjlRUVODKlSsS6d7e3nj69CmsrKzw8OFDODk5AajsGPTq\n1avedbVUlGW+W5EoSxuxSkAGFy9eRF5eHnx9fcV83PTu3VtujOWioiLs27cPAoEA2traWLNmDdav\nX69okZsFAwYMUPiU17vA4/GkOjFUV1eHjo4OMjIykJubi+7du+PYsWN4+fJlvS2ZTE1NkZycLGZh\nx8LS3GCVgBQKCwvRv39/REVFISsrC7t372Y2d8nzo/TgwQPo6Ohg8uTJzNrJqFGjGM+hioZdE6iZ\nQYMGyX2pExH09PQwYMAAGBoa1quecePGAQDmzZsHLpdbrzKaEmWZ71YkytJGcpXA06dPMWXKFAwf\nPhxAZTSrn3/+WeGCNRVpaWnMj3by5Mm4fPkyNm/eDC8vL/z6669MmMR///1X5vVApa14aGgojh8/\nXudF5Ibgf//7X6PXqSzs2rXrna7ftGkTvv32W3zyySeMUzpZLtRZWJoauUogMDAQw4YNYzxdtm/f\nHps3b1a4YE3Fjh07mO/Ozs7o1KkTs8N3woQJGDJkiNwy1NTUsGrVKhQVFcHc3LxRHYyJ1gRYU1TZ\nVPfaWh0dHZ13Kv/LL7+Evb09OBwOwsPDAYDpRLUUlGW+W5EoSxvJVQIvXryAj48P05tVV1cXCxre\nUrlz5w5Onz6NBQsWgMPh4N69e8y5ml6gKioq6NixI2MaKI2FCxfC3Nwcqqqq0NfXZ61FWhBGRkbY\ns2dPg5QlMi19+vQpBAIBzMzMGqRcFpaGpFa+g16+fMkcX79+Ha1bt1aoUI1Bdd81VQOiW1hY4NGj\nRygoKJBqCXT8+HH4+fkpXMb6wK4JyEeaKwsAuHHjBgCgW7duDVJP165d8ccffzDHz549w5EjR1BQ\nUIDJkyfXu9zy8nKoq6sjNzcXampqNXZI6ouyzHcrEmVpI7kjgY0bN8LT0xNPnjyBm5sb/P39W7xP\n/OTkZOa7s7MzAPEpgmnTpuH69eto37490tPTxa6V5Q/mzJkzOHPmjAKkZVEUubm5Yvs4RBQUFDSI\neaevry8+//xz6OjowMzMDJqamti2bRuWLVtWp3Levn0LFRUVFBQU4PHjx9DQ0EBkZCQ++OADmXsY\nbt68KfHssrBIQ64S6N69O/755x9cvXoVu3fvRmJiYovfHp+Xl8d8F/nyEQqFAABbW1ssWLAAvXr1\nwtChQyWujYmJAVDpE7+qQvjwww/FooYBlcomNze3weWviabeJ9ASECn8GzduMAvoqqqqmD59OoBK\np3LS/AjVFRsbG/zwww/Q1dVFTk4OLC0tcfHixTrHkiguLgYRobi4GKWlpQAqd7ffvXtXbARblZ49\ne+L777+vt+zKMt+tSJSljeQqgYqKCpw5cwYXLlzAuXPn8MMPP2DTpk3vVGlISAgcHR3h7OyM8ePH\no7S0FHl5eRg6dCjs7e0xbNgwmS6I5VFYWMj8UAoKCsS8eIqIjY3F4MGDcfXqVSaSVFJSEkaNGoXH\njx9LLXf37t3Q1NREVlYWeDwezM3NcfLkSea8ubk5OnbsKHZNUlISPD0963UfLI2DyJEdh8PBjh07\n8OrVK4waNarW19fFj1ZVo4PGQFlDX7I0LHKVgKenJw4cOIC8vDwUFhaisLBQZu+jNqSmpmLPnj24\nc+cO4uLiIBAIcPjwYaxZswZDhw5FUlISBg8ezGzBl8WrV6/QpUsXiWG7i4sLtLS0EBcXBz09PWhr\na0sM+e/cuYOAgAB0794d165dAwAEBQUxsWNFWFtbM/N+06ZNw5UrV7Bjxw5oamriww8/ZEYPAKCl\npYVTp05h8+bNYj7kG9tlMrsmIB9ZawIqKirQ19ev01xvhw4dav2ybcjAM7179wYA/P333xLnGuLl\nryzz3YpEWdpI7sJwVlZWjVGX6oqenh7U1dVRVFQEVVVVFBUVoW3btggJCcE///wDoNJL44ABA2pU\nBK9fv8a9e/fw6NEjJCQkwNjYGP369cOTJ08AVPp+EVFWVoZvv/0Wvr6+sLOzw/nz5xEQECBmtePi\n4sIoBBHDhg0T8yXUvXt3mcFQDA0NYW1tDTU1NXh5ecHU1BQA3klhsjQNPB4PQMP7AOrRo0e9rhOt\nYR04cICJVTBr1iwmrkd5eTm+/PJLzJs3DwcOHICDgwOASud2S5YswYwZM8Dn8yXKPXr0KDw8PFhz\n4vccuSOBYcOGNahXRENDQ8yfPx9WVlZo27Yt9PX1MXToUDx79ox5cZqamuLZs2c1liPqAbm6umLc\nuHEYOHCgxCa20aNHY/To0SAirFixAnFxcQAq/cH36NED6urq+OWXXwAAffv2rbfp66tXrxAfH483\nb94wbaWiooIbN27UyvlYQ8KuCchH3j4Bc3NzJCQkQE9Pr8HrnjdvHjp37lyna0S+jhYuXIjTp09L\nnL979y5+/PFH2NraYuXKlTh37hxGjBgBTU1NrFmzRubGxrFjx+L06dMgIhw7doyJkwA0zHx3enq6\n1IV3ZeG9WRNwc3PD6NGjoaWlBS6XCy6X+04/juTkZGzZsgWpqanIzs5GYWEh8yIWweFw5PbCRO4b\nTExMmLTqroA5HA5KS0uZzVpJSUkAKm3BRfseROauixYtEosDXBdSU1Ph7u6O7t27QyAQwNraGkBl\nz0/W1ANL84XD4TC96YYmICCACWJTF3lEVDXXFlHd8+2+fftgYGDALAzX5NXV29sb+fn5GD16NJ4+\nfYpnz55BT09PbKqzvvj6+sLf3/+dy2FRLHK7vvPmzcP169fh5OQEFZV3dzV069YtuLm5wcjICEBl\n/NZr167BzMwMT58+hZmZGXJyctCmTRup10+cOBE2NjbM1JGamhpSUlLg5uaGP//8E8B/8+K5ubno\n06cPY7r5xx9/iHmEjI6ORmlpKfbv34927dohOTkZ0dHRzFyfSNPLOk5ISICJiQlat24NPp/PKEeR\n9Ye86xV1XPX+Grt+0WgLqHSdXdVMsanao+rxv//+yyjm+/fvIzU1tVHlS05OZjYm1iZ/YmIiIiIi\nGBkzMjJQHWkv+SlTpuDIkSMAAB8fH2zduhV8Ph+6urrMArgIUaS1q1evoqSkBAUFBejXrx+io6NR\nUVHB7JKvSd6KigqcPHkSBgYGzPnnz58zhhcN1X7N6ViU1lzkqXocHR3NhAGQNhUoBsnB3d2dKioq\n5GWrNbGxseTo6EhFRUUkFApp4sSJtG3bNlqwYAGtWbOGiIhCQkJo0aJFEtcCIAB05swZ+uabb5jj\nwsJCcnV1JQCUlJREn332GR06dIi8vLyIiKhfv35kaWlJampqdO7cOTI1NX3n+wgJCaHff/+diIju\n3LlDU6dOpZ9++olq0aQKJSIioklluHTpEs2ZM4eIiI4ePUrfffddk8kijZs3b9L06dOJiOjUqVO0\nYsWKRq2/qKiI9PT0ap3fw8ODANDOnTuJz+eTo6MjAaCDBw/SgQMH6KuvviIA9OOPPzK/h7NnzxLR\nf78X0adr164EgObPny+WfujQIQJAmZmZdP78eQJA5eXlTBnjx48noVAoVb6kpCS6desWHTt2TOK5\nc3FxoZ49e8q8t2fPntHXX39d67ZgqT81vRPkdu2tra0xcOBAhISEYOPGjdi4ceM7mYi6uLhg4sSJ\ncHV1ZeZGp0+fjsWLF+Pvv/+Gvb09IiMjsXjxYplljBgxAkFBQfD29sbhw4eho6ODzp07Q1VVFe3b\nt0dxcTEzKgAqF9QuXrwICwsLPHnyBDNnzqy3/CIEAgGioqLeuZyGhl0TkI+8NQFF0qpVK+Tn56N/\n//61yi8afevo6CA9PV3M4GHixImYNGkSgMqF4vz8fAD/jUSrW6aJdhZv3LhRal0nTpxgppY8PDyY\naaiwsDD8/PPPjDO8qqxcuRKDBg0SW0+oLU+ePMHKlSvrfF1zofrIu6VSKyUwaNAglJWVMeah72rx\nsnDhQiQkJCAuLg4HDhyAuro6DA0NceHCBSQlJeH8+fO1MqcbP348fHx8JNKnTZuGI0eOMHP8fD4f\n1tbWGDlyJD799NN3kl3E6NGjJRbcRo0axbgeYGGpiYsXL9YqX1XngwKBoEbzTy6Xi8LCQqmmi2vX\nrpU5nStykz5r1iwmrarXU3Nzc0ybNg3W1tYS01FCoRAVFRW4fPkygEpfY/Vh2rRp2L17d63yhoeH\nMyayLO+O3DWB4OBgAP+ZOjZX3+hCoZDpjYh6MFX9tgDA5s2b8eOPP4rtGK4vrVu3lvA2aWxsXOdF\nv4aG3Scgn6ZerL9//z7GjRsHIpJrAPHw4UOJtEOHDjFrW0ZGRmK+jqo+k5qamhg8eDDOnDmDxMRE\nREZGYvPmzZg4cSKzJgdAZiQ4Dw8PhIeHM0YYWVlZSEpKgqamJtq0aQM1NTUmcFJ8fDzMzMyQkpIC\nVVVVsb0yJSUlePPmDWP9R0QSymz//v2oqKhgdm3XRHp6OmJiYpCent4o0fpkoSz7BOSOBOLi4tC1\na1c4OjrC0dER3bt3b9JYuSJfP9Xx9PTEt99+K5ZW3S5bXV0d9vb2SuEFlaXlYm9vj4yMjFp1Rm7f\nvhScWcEAACAASURBVI3u3bszexeASqsbkQWaqampzEh3R48exa5du6ChoYEuXbrg7Nmz+OKLL5hA\nOXPmzEFKSgoAoF+/fli0aJHY9dIios2fPx+mpqYICgpiOl1FRUVITU1Ft27dcP36dRgaGsLV1RX3\n7t3DjRs30LlzZzEPqnv37oWenh7TsRQtbL969apWG91Eln3SpqfqS15e3nu7p0fu23D69OnYtGkT\nBg4cCKByHmz69Om4evWqwoWTRv/+/REXFwcLCwuxeVUvLy/me02bXxISEhrEyqm5wq4JyEda77ox\n0dTURN++fWv1wrOysqq36XKnTp1knrO2toaRkRH4fD6ePXsGfX19aGhooEOHDjAwMMDVq1cxcOBA\nXLp0CUVFRdDU1MSnn37KrIOtXLkSbdu2ZdZXHj16BDc3N8yZMwcAxDaYPnr0CEBlQCoHBwfk5+fj\n7du3CAsLA/Df3Prx48dx+/ZtdOvWDaWlpejYsSMiIiIQGxuLJUuW4ObNm+ByucxeiZKSEly4cKFW\nMT7k4ebmBjc3N+zdu7fW14gsg96+ffvOMSiaErlvw6KiIkYBAGBuuqkIDg4GESEzM1PmuoGzs7PM\nH5iamppSKwF7e3scPXq0qcVotoicuLUE4uLimBdoQ5OUlIQVK1YAANq0acMsJk+aNAkff/wxRowY\nwUz9tmrVCioqKiguLhaTp+oC+48//shM5cgKoBMaGgoiYpwqamtrw8PDA+Xl5Yz7l4qKCuzduxfa\n2tpIT09Hbm4unj59isePH8PAwABZWVk4duwYgMr2kebksS4QEdLS0vD8+fN6jQRevnwJXV3dGvdi\nNHdqtTC8atUqpKamIiUlBd9++22j+8OpStW5RhZJRo4cKTYqYhHHzMysweIFKJpRo0YpbIpCTU2t\nxvWIAQMGoFevXmKjprFjx4rl6devH/744w+cOHECY8eOZX6borW4Q4cOAahUFmFhYYwfr5CQEABg\nRhUHDx5kyoyIiJDprh0Ao0BkTQuLKCoqQllZGQoKCjB48GCpO62ByhgPfD5fbN+EiNevX+P58+fY\nvn27hPWTnp4e7O3txZRXS0WuEti7dy+eP38OLy8vjBkzBrm5uXUaMjU0ItfPzYEnT5606B4AS/NG\ntCDbVKirq6NDhw7MsWgtAQCGDh2KDRs2YMyYMfD09ESbNm3QuXNnsRG4aO7e3Nyc8bYq6sWrq6vj\nwYMHePbsGeON9++//8aOHTvEflMHDx4Ui9G9dOlSBAYGokOHDowHAKDS7cvcuXOZslxdXfHFF1/g\nzZs3iIyMRGpqKqZNmwZVVVUsXLiQuc7NzU3m/U+ePBmmpqb47LPPkJ+fDyJinEwWFBQgJiZGKdxi\nyFUChoaG2Lp1K+7cuYObN29i5cqVColk1BJJSEjAzp07IRAI6mUnrQiUxXZZkTSXBUB5wedF4Smb\nAmnPkWitbezYsfj+++/lOsRzdXXF06dPmeMjR45gzpw5UFdXx6VLl6ClpYWVK1cy5XC5XGRlZTE7\nXTt27IidO3cyO5oB4Pz58/D09MT58+cRFBQEoHIf0O3bt/HDDz/go48+AhHhwYMHePXqFaN0Ll++\njMOHD0MoFGL9+vUAgMWLFyMlJYVxESKaJubxeNi+fbtEB+/777+Hqakp0+v//fffERkZKZbn6tWr\nEj7MmjtylYCfnx+zkOPs7AwHBwesW7euMWRr1oiG0gKBAD///DOrGFnqxPz581vc70g0jRYYGFjj\norMIFRUVxizUwcEBcXFxTFqvXr1QXFyMDz/8EF988QXatWvHmO5W7eEDwJ49e7B161bm/LBhw1BR\nUQE7Ozvo6ekhMDAQJSUlWLFiBTp37sy8pLlcLr766ivs2LEDFy5ckLB2Wrt2LYDKPRtz586FnZ0d\nXr58yWzKq/6CF7n7ELnCkObj7NixY1KdRsbExDTbKSO5SiAxMRF6eno4duwYPDw8kJqaitDQ0MaQ\nrVljbm6O2bNn49atW1BTU6tTIBJFoiy2y4qkOex1GTZsGO7evYusrCyZebp169Zko4GGfo7s7e1B\nRHj9+rVYzx6o3PSZnp6Odu3aMS9mQHz9b/bs2bCwsICzszOT3qtXL2aXtIuLC1auXAk1NTVmw9r9\n+/dRVlaGESNGiDne09DQwPXr16Gjo4O4uDgYGRlh+PDhWL16NbPPZ/v27WIyGhoaYv/+/WKbTQ8d\nOoQFCxYA+C+Gg0gpnD9/HkDl2kRubi569+6NkSNHMmbsJiYmzWYqqVaRxcrLy3Hs2DF4enpCXV29\nwf2st0Q4HA66dOmCv/76SyxmMct/SNsUxPIf/v7+MiPoiZRDc1oDA4AJEya8k2EIl8utcUOlt7c3\ngMopGXd3d0yZMoU59/HHHzOL0/b29mjTpg0+/PBDAJWKBKgMxenk5ISePXsiJiYGU6dOhZWVFZYv\nXw4AyMzMxAcffIBXr17hiy++gJOTk0xZRJZQoj0ZVb9X9+YaFBSETp06IS0tDQCwbNkyEBHWrVvH\nOMM8d+4cVqxYgdu3b+PFixeMoqhKaWkpJkyYgNzcXAmvyCISEhKwdOlSmXLXFblKQBSQorCwEP36\n9UNqairjfvl9pzluOmtOawJbtmwRc/XdXBCtCcTGxjaIy+T6UlJSInXjZV5eHiwtLZkASU2BrOco\nNDRU7lSQqKP4LpZ8sbGxWL9+PUaNGoUNGzYAqFwU/vrrrwEAN2/exIYNGxi3GoGBgQCABw8eIC8v\nD7/99hsAMObsn332GeOy/uTJk5gwYYLY/766rE+ePGHK7tq1KwDgm2++kZBz/Pjx2LRpE86dO4eH\nDx8y9d66dQuzZ89myhVNiwGVayUAxBSciMLCQvz666/o0aMHfHx8kJ2djTt37ojliY+PZyysgMr9\nIFVHUHVFrhKYM2cOsrKyEB4eDhUVFfB4vGbpOK0p+OSTT2TaRLNUujTw8PBoajFkcuPGDfTt27fJ\n6h8wYAC2bNkikS4yMpgxY0Zji9QgaGhoQCgUirmmqE8Zqqqq8PT0xPz58yXOi/b7rFixAikpKUxv\n+8qV/7d33mFRHtsf/25fpHeUooJYUYqKDZXEqxhMosR2r4mC9RpTTIxKipqbXxLFJGg0YkiiPzXl\nGo0au2A0dpDQ7CIWVooU6Sxs3/n9wW/fsMKy9F2W+TwPz8Puzsx79szse945M3POFcTHxzPhk8PD\nwwHU3oRfffVV5jxEaWmpVk7woKAgqNVqTJgwAcDfqUDLysrw66+/ory8HOvWras3s120aBEcHBzq\neQNee+015OXl4eLFi4iOjkZsbGyD31NXTnOBQIDjx4/ju+++w9ChQzFhwgRs3LgRLBarngwZGRla\nC/DNpdmnplgsllE+ARsCLpdrdAvCdE1AP3UPQXl5eRlMjvnz5zNhGxpi3LhxHSiNNp1lHGlOPWsY\nPXq0VpKdZ6MHODo6MrODZ4PQsVgsxMfHY9++fYwRsLGxAY/HY7wfmnMKFhYWCA0Nhbu7e4NyhYaG\n4siRIzh27BgmTZpUb6axfft2+Pj4wNvbG0ePHq1XXygUgsvlMjd8fZGVW4PpHp3tQO7cuWNoESid\nEDMzM8jl8gZDsISEhDD5hLsS7u7uOHnyJHOuoD3QzAbqnj/QwOFwMGvWLJ3rnhoXEp/Px4kTJ7Si\nvOqi7rrDtm3bANRus01PT8fixYuZXWIlJSWMC7ChvO4CgQCOjo5MRIClS5dqRX5tKdQItAGPHz/W\ne4KxozCmNQFjxVjOCQC17gSJRGJoMephqHHE4XC0chm0hi+//FLrsJsGLpeL7OzsFi1wW1tbM1tV\nNTry9vbGq6++yoTXeeuttxgPwbML+5qwLvb29uByudi0aROuXLmCyspKODg4IDAwUKu8ZibzzTff\nIDExER999BHi4uIAAN999x2TPa41NMmvc+XKFYhEImafK4vFwrx581p9cVNAsx3N2NxCFEpXZ+XK\nlTo/0+XG0ceaNWvquWVGjhyJkSNHQiQSoXfv3ti6dSuUSiXWrVtXL4EVm83WCuuicSvVPWA2btw4\n2NjY4MyZM8jIyMCPP/7I5Gq+ePEixGIxli5ditjYWCaS6rFjx7B58+YWfSe9RuC1117Do0eP4Ofn\npzV9okagluTkZK0FJkPTWXy5hsQYzgnoghCC8+fPGzwcCR1HDcNmsxl30rM66tWrF+PD53K5WruJ\nRo0apbPNV199VStjnCZ/+qRJk7Bnzx6sWLGC+UzT/vjx4xEbG4uKigq4uLg06NrSoC9gol4jkJqa\nijt37tCzAY3Q2F7jrggNZ91y7t27h1mzZtXLjUHp3OgLNf3LL79g2LBhWttvDxw4AIVCobXLytvb\nu17dqKgofPPNNzrbLiwsbPTaetcEfHx8DB7IypgZPnx4kxaHOgpDrwn4+voaNOlQUzCmNQGpVKq1\nO0Tjcq2748UQGHocdQbaSkfW1tZ4/PgxHBwctCKqWllZ1dtm29iM4llOnz7N5GxoDL0zgadPn2Lg\nwIEIDAxkFjlYLFaD25q6Ig2d+uvKWFpaGvwG1pmIiIjApk2bDC0GxYBMmTIFHh4ebX66fseOHfjt\nt9+YA2y6aHKOYUrngPpy9WNMawI8Hk/r3I2uuPcdDR1H+mmujtzd3Vt9gt7W1haHDx/WGsO6Tr1r\nXEf6TsXrNQLtMRjKy8uxaNEi3L59GywWC7t27YK3tzdmz56Nx48fo1evXti/f7/OzGEUiqkgFAqx\nZ88eJnyyZrcZxfTIzs7W+dkrr7yilYdZFywWC1OnToVYLNabWlPjlk1KSmq0TZ1rAmPGjAFQu4XJ\n0tJS68/KykqvsI2xfPlyhIaG4u7du7hx4wb69++PqKgoTJw4EZmZmZgwYQKioqJadY2uCvXl6seY\n1gS8vb2Z2DRA7e6Tzz77zODhNug40k9b6mjz5s2IjIxscnkLCwsmxIUuEhMTsXLlSuzfv7/RcjqN\nwJUrVwDUBjSqqqrS+tOEb20JFRUVuHTpEhYsWACgdiuVtbU1jh49ysT5CA8PZ5JBUCimjiaProYR\nI0ZoZfGiUHRx4cIFnSfL3d3dERERoZULuiE6/MRwVlYWHB0dMX/+fAQEBGDx4sWorq5GYWEhE2nP\n2dlZ77YmSsNQX65+jGlNAACee+45JoHJ+fPnjWI7Nh1H+jEGHY0bN04rQumzDBo0CL6+vo220eFG\nQKlUIi0tDcuWLUNaWhrMzc3ruX4aythDoZgqmh/pTz/9ZPDIppTOSUZGhk43p75zOx0eDtTNzQ1u\nbm5MXtEZM2Zgw4YNcHFxQUFBAVxcXJCfn8+Ehn2WiIgIZguijY0N/Pz8GIus8dF15dfXrl3DO++8\nY1B5NBQXFyMxMZE5om8M+gH+XhMoKipCUlISs4vC0PqaN28erKysmK3YhtRXXdkM3V/G+vrrr782\nmvuPn58ffv31V3h7ezP9JxKJtO6XOiF6uH37dr33zp07p69ao4wdO5bcu3ePEELIxx9/TFatWkVW\nrVpFoqKiCCGEbNiwgURGRtar1wRxuzyt7Zu2ICAggBBCyNSpU0l2draBpamPt7c3IYSQ2bNnk8zM\nTANLQ0hMTAwJDg4mAEhoaKihxSGEGMc4MnaMSUcLFy4kaWlpWu9pfoeENH7v1DsTmDVrFubOnYvV\nq1dDIpEgMjISycnJuHr1qr6qOvnmm2/w6quvQi6Xw8vLC7t27YJKpcKsWbOwc+dOZosopflonhIo\nujG2NYHw8HC88cYbAGA0blA6jvRjKjrSawSSkpIQGRmJUaNGQSwWY86cOQ3GP28Ovr6+SE5Orvf+\nmTNnWtUuhdIZMTc3R0hICOLj45nY8obkt99+Q05ODq5fv47AwEDGQFFME70Lw1wuF2ZmZpBIJJBK\npfD09ASbTdMQGCvP+pkp9TGmcwIaNInLBw4caFA5Hj58CLFYjICAAHz//ff46quvWv3QZ6oY828t\nNze3ycmu9N7NAwMDIRQKkZKSgkuXLuG///0vZs6c2WohKRTK32gW8w3NzZs3mWTuAoEAw4cPZ84M\nUYwXuVzOpL4EgEePHiEsLKxJdfUagR07duDTTz8Fj8dD9+7dcfToUbz00kstl5bSrpiKn7I9MbY1\nAaB+LlxDMWXKFJw6dYoZR3l5eVrhjSl/Y0y/tX79+tUL6tnY+YG66DUCzs7OyM7O1vobP358yySl\nUIwEQohR5T0ICwuDSqUyyLXffPNNWFtbMw97mvwYGv28+OKLAICysjIsWLAAQUFBeP755xEQEICX\nXnoJ69evN4jclL8JCgpikt00F70Lw6GhocyOBalUiqysLPTr108rEw7FeDh//rxRPaEYI3l5eais\nrERhYSF69uxpaHEYDLHWtnfvXsTFxWHXrl2YM2cOZs+ejb59+yI+Ph67d+/GkSNHmLLp6enYsWMH\ndu7cifnz5yMmJgbLly/vcJmNBVP5rek1As8mCElLS0NMTEy7CUShtDeurq6Ii4tDv379Wvz0ZCqs\nX78eS5YsgUqlgoWFBeOW2rt3L7Zs2QIHBweIRCL06tULzz//PABAJBKBy+UiJyfHkKJT2ohmP3oE\nBAToDU1KMRym8GTS3kyfPr3NE3h0Rv766y/cvn0bU6ZMwcyZM1FcXAw3NzfExsZi2bJlUKvVEIlE\nSExMZOrEx8fDw8MDAHD9+nVDiW4UmMpvTe9MIDo6mvlfrVYjLS0Nrq6u7SoUhUJpfw4dOgQXFxcM\nGjSIee/y5ct48803mUQkLBZLK1H5jz/+iK+++gpAbYRhQojRHHCjtAy9M4GqqiqIxWKIxWLI5XK8\n+OKLWn5CinFhzHuXjYVHjx4ZWgSj4OzZs0zeEA1BQUFQKpX4888/oVaroVKptMr88ssv6N69O4Da\nePVd2QCYym+NppekULogVVVVuHbtGv75z38aWhSKgdFpBBo7C0ATzRsvpuKnbE88PT0NLYLBuXLl\nClQqFYYOHdrg53Qc6cdUdKTTCLz33ns6K3XlKSCFYgpcunQJAPQmHKF0Tp48eQKlUtmksjqNQO/e\nvY1qDzWlaZjK3uX25NGjR11+NnD58mW4urrC1ta2wc9NfRy1RZC89tJReno6fv75Z61NOc3lxIkT\nGD16dJPK6jQC06ZNQ3p6OoDaLXUHDx5ssUAUCsV4UCgU+Ouvv/QmKjdVNEHyVqxYAZlMhv79+8Pf\n37/JN8325Msvv0RiYiKsra1b1Y5QKMTIkSObVLZJ5wToborOgyk/vbUVbTULyMrKwp49e5pVZ/36\n9ZDL5W1y/ZaSnp4OmUzWqCuoM42j5vZDS4LkNdRv7aGjVatWYerUqW3ebmPQmNAUSgsoKSnBmjVr\n8NprrzWr3owZM7B06dJ2kqppaA5/aWIEdWZa0g+aIHkamhIkryP7raMPMuo0Ajdu3IClpSUsLS1x\n8+ZN5n9LS0tYWVl1pIyUZmAqe5fbk+bObPft24d58+YhLCyMSYb0/vvvY9WqVeBwOM1qq2/fvhg0\naBB+/PHHZtVrSzTfoe4hsWfpiHH0ww8/oH///q1qoyX90FiQPF001G/tpaOO3nijc03AUBENKaaB\nSqXClStXOv1OsocPHyI8PByPHj3CkCFDUFhYiLt370IkEsHPz69FbS5ZsgRBQUGYM2cOuFy9R3Xa\nnKSkJHA4nFbfgFtLjx49sGTJkhbXb20/SCQSbNy4scmHX1vTb1988QUkEkmDn82ePVurLzp6JtDx\nI5DSrhiLL7empgYWFhZGGWKkOWsCBw4cwODBg9GjRw8UFxcDAJYtW4aIiIgWX9/S0hL+/v44cuQI\npk+f3uJ2msOtW7fwn//8BxcuXEBJSQlsbGxQVFQENze3Bst3xDiaMmUKpkyZ0uL633zzTav6YePG\njfWC5DXGs/3WHB2tXr26yWVb8uBkb2+Pr7/+Gps2bWp2XbomQGk3evbs2elnAomJiRg1apTWe/Hx\n8fXeay5BQUE4fPhwq9poKmfOnMH06dMxe/Zs7N+/HwDg4eGBWbNm4cKFCx0iQ3vQmn6IjY1FaGho\ng0HyGqMj+q0lMwEfHx/4+/u36Hp0JmBimPr+7ragKecEDh48iMOHD+PUqVMYPXo05s6dizfeeAMu\nLi4oKyvTWX/Lli2oqalBWloa/ud//geHDh0CIQRlZWVa+76HDRuGjRs3tun3aoiqqiosX74cZ8+e\nZSKEArV5Qj788EO88MILOHbsGGxsbLTqtXYcEUIQFRUFhUIBPp8PQggiIyPBZrNx8OBBZGRk4PLl\nyzh8+DAEAgEA4LPPPsO9e/fw3HPPwc/PD8ePH4dAIEBKSgp++OEHLRlFIpHOftDXB/qC5DVG3X6r\nq6Om9rs+tm7digMHDiAnJweffPIJ3nnnnVZvF9ULMRBKpZL4+fmRF198kRBCSElJCfnHP/5BvL29\nycSJE0lZWVm9OgYUt9Nw7tw5Q4tAAgICSGVlJRk/fryhRWmQhQsXkvDwcOLl5dVoucrKSsJisci1\na9eY9y5cuED69evXYPktW7aQjIwMQggh33//PXFyciJ5eXlkzZo1xMnJSatsTk4OYbPZRKFQtPLb\nNM6OHTvIpk2bmNcLFiwgLBaL7Nu3jxBCyKFDh0h0dHS9eq0dR9HR0WTHjh2EEEJEIhHh8/mkoKCA\n5Ofnk40bNxKVSkWsrKxIWloaIYSQ5ORkcvjwYXLs2DHi4OCgJVNYWBj5+uuvtdrX1Q/N6YOWULff\nNDpq72s2lYCAAOb/RYsWMbolpPF7p8HcQVu2bMHAgQMZd0FUVBQmTpyIzMxMTJgwAVFRUYYSrVNj\nDLOA3NxcraTXxoanpyeePn2Kd999t9FyN2/eBIfD0do+WFRUVO+pWYNSqUS/fv0A1OrA398fPXr0\nwL///W8mTIMGOzs75kmxIWbNmoUXXnihSX/nzp3T+R1u3LihdSgsOTkZLBaLiRk0ceJE/PXXX/Xq\ntXYcnT17FhkZGVAoFHB1dcXVq1fh7OyMc+fO4bXXXsP58+fBYrGYHUrXrl3DpEmTcP36dXh4eGDF\nihVMW2VlZfWyrunqh+b0QUuo228aHbX3NZtKdnY2ioqKAAAJCQlNrmcQd1Bubi5OnjyJjz76iFnI\nOHr0KOOfDA8PR3BwMDUEnZSgoKAGbyydjVu3bsHLy0sr+5hardaZBrLujevixYsICQkBgAYXXzVt\n6Foz0fju2wKN20MqleLu3buwsbGBl5cXgNrTw2KxuM2upWHy5MlYvnw5tm7ditDQUOzcuRMA8K9/\n/QsA8MEHH2DmzJmMbhctWgQAuHDhgtZhKZlMhtTUVGzYsKHed2qoH5rTBy2hoX5r72s2lXHjxiEt\nLQ2TJ09GUVFRo1uA62KQmcC7776LL7/8UqsTCwsL4ezsDKA2uX1hYaEhROv0GMM5AWM/hNTUcwK3\nbt3C4MGDtd5zdHREaWlpo/VkMhmSkpIwfvx4nWVKS0vB4XDg4ODQJFlayqhRo5iZws2bN+tFDv3j\njz8aXFBs7Th66623kJCQgDVr1iAxMREffvgh81lNTQ1+//13zJ07V6uOUqlEYmIixo4dy7x37tw5\nCIVCjBgxQqusvn5oSh+0hLr99qyO2uuaTaXuNlMPD48mp07tcCNw/PhxODk5wd/fX+cqOIvF6vS7\nSiidn4aMgKurK0pKSuqVVSgU+PPPPwEAV69eBSEEw4cPB1B7qvXZsAYlJSXMQ09DtJU7aPr06Thw\n4AByc3OZg1EaucrLy/HJJ58wT+FtgUKhgI+PD3788UeMHDkSa9euRWxsrJbOfv/9d9jZ2WHcuHHY\nuXMnMxNJSUmBXC7X2vGzb98+vPTSS2CxWNi8eTPzfkP90Nw+aAnP9ltHXLO96XB3UEJCAo4ePYqT\nJ09CKpWisrISc+fOhbOzMwoKCuDi4oL8/Hw4OTk1WD8iIoLZz2tjYwM/Pz/GN6exzF39tQZDX7+8\nvFxrB4Wx6MfT0xP5+fnIzMxsVL7U1FQ899xzzPfRfM7n8/HkyRNkZmYy5b///nu8++67OHbsGE6f\nPg0HBwdcvnwZQK2L4M0339RqPz09HZ6enjqvv3///jb7vt9++y3CwsKY2DcDBgxAXFwc3njjDcyc\nOZOJFly3fnBwcIuuV11dDblcjjFjxjCfX758GUuXLmVeJyUlYdKkSTh79iwuXbqEhQsXAgB27doF\nb29vCIVCpr0LFy7g008/hUgkwpMnTxh99e3bF0BtNNCZM2cCAFauXIlvv/0WFRUVOHr0KCwtLXH5\n8mUEBwcjJiYGfn5+rR6P8fHxWrOSlStX4rvvvkNZWRliYmJgaWnJHCRbuXIlwsLCmLLtPb4fP34M\na2trTJ48GVVVVcwZCn3nH1hE1+N4B3DhwgV89dVXOHbsGFavXg17e3tERkYiKioK5eXl9dYEWCwW\nTRDeCfj4448xYMAAxMbG1jMMxsD69etx5coVhIaG6gwhnJubCw8PD2RlZdULqT5//nyEhIRoZeW6\ndesW1q9fDy8vL0yePBnx8fGorq6GmZkZZsyYUe9U6+LFizF27FjMmzev7b9gAzx9+hQjR45EVlYW\nzM3NMXr0aKxduxZBQUFtfq1du3bh4cOHEAgEKCsrw9ixY7VuhgkJCYiKioKPjw/efvttuLi4AADe\neOMN9O3bF8uXL2fKbtu2DampqfDy8sKHH36o5UJ+th+a2wct4dl+64hrNpWPPvoIY8eOxeTJkzF0\n6FCkpqYynzV672yHnUpN5vz58+Sll14ihNRuEZ0wYQLdItpKjGGL6Lp168jevXuNeotoaGgo2bZt\nm84yx44dI56eng1+du7cORIWFtbi60skEhIQEECkUmmL22gJDg4OxNLSkqhUKr1ljWEc6aO1/dBc\nnu03Y9PR+++/T37++WdCiPZ2UUKMdIsoAIwfP55JU2lnZ4czZ84gMzMTp0+f1rkNj0JpT9auXYur\nV68iPT1dZ0iD4OBgSCQSxh3UXPbs2YPFixczh6Q6gvz8fJSUlGDkyJE6dzd1NlrbD83FEP3WRhZu\nbQAAHetJREFUHLy8vFq0q8w0RgOFQeMfpOhG12nfp0+fYuPGjSgtLcWFCxewbNkynW3ExsZi7dq1\nzPbLppKfn48//vgDixcvbla91nLjxg0A0Np50xidZRy1tB+aS0P9Zmw6CgoKgoWFRbPrUSNAofw/\njo6O+Pe//40rV64gLCys0SibPXv2xMqVKxETE9Osa3z55ZeIjY1tdgjq1qLZGTRu3LgOvW5709J+\naC6G6reOgMYOMjHq7n6gNExj5wS++eabJrczfPhwZjtgU2lJlMe2ID09HQKBoMkpBzvTOGpJPzSX\nhvqtM+moMehMgNIlKSkp6VI7zZKTkxEYGGi0/myK4aBGwMQwhSeT9sbT0xNJSUkGT6rSUZSUlCAr\nK0vrzIM+6DjSj7Hq6Ny5c8jLy2tyeWoEKF0OTda8wMBAA0vSMWjiOGli2lBMm6YER6wLNQImhjEe\nzjI2mpNZzBS4fPkyrKys6sXfaQw6jvRjKjqiRoDS5WhqYC1TIS4uDpMnTzaZ8wGUtoWOChPDWP2U\nxkRrU0N2Jh49eoT09HStEBdNgY4j/ZiKjqgRoFBMjDlz5mDbtm0AgO3bt8PLy0srRj+FUhdqBEwM\nU/FTtidNTSreWTl79iwyMzPxxx9/YPv27YiJiWl2aHY6jvRjbDricDg4fvx4s7c+08NiFIqJERMT\ngzfffBMHDx7Etm3bMGnSpBa3df36dWzatAk1NTWYO3cuXn75ZQDApUuX8Oeff8La2hrPP/88hgwZ\n0lbiU1pInz594ODgQI1AV8dU/JTtiamvCcyYMQMzZsxoVRvBwcGorq7G77//jj179qCoqAgTJ05E\nVlYW+vbtiydPnuDjjz8GAHz//ffw9vaGmZlZW4jfaTC23xqLxYK9vX2z61EjQKF0Qb744gtIJJIG\nP5s9ezb69++PixcvYunSpQAAJycn/P777wgMDMSMGTMQGxvLlJ86dSouXLiAyZMnd4jslMa5d+9e\ns06GUyNgYhhLPJPjx4+jrKzM0GI0yL1793DixAlYWloaWhSDsXr16kY/P3/+PCQSCaysrJj3PD09\nMX36dMTHx6O8vJwJ925ubo6ampp2ldcYMZbf2rP8+eefWLduXZPL04VhSrtQVlaGt99+29BiNAiH\nw0FoaCjNY62HsWPH4tSpU8zrM2fOwM/PDyEhIXj11VehVCoBAD///LNR3gy7KhYWFhgwYECTy9OZ\ngIlBf4z6oTrSj0ZHPB4P0dHRkEgkcHV1xeuvvw61Wo3169fj+eefh7u7O2bMmAE7OzvDCmwATGUc\nUSNAoVB0otkNVBc2m401a9ZgzZo1BpCIoo/mJtih7iATw9j2LhsjVEf6oTrSjzHqSCwWIy4urlkZ\nxqgRoFAoFBNBqVQiODhYa0FfH9QImBim4qdsT6iO9EN1pB9j1JFYLMa9e/eaVafDjUBOTg6ee+45\nDBo0CD4+Pti6dSsAoLS0FBMnTkTfvn0xadIklJeXd7RoFAqF0qnJysrC7du3m1Wnw40Aj8fD5s2b\ncfv2bVy9ehUxMTG4e/cuoqKiMHHiRGRmZmLChAmIiorqaNFMAmPwUyqVSly8eNHQYujEGHRk7FAd\n6ccYdSQQCGBra9usOh1uBFxcXODn5wfg7/2seXl5OHr0KMLDwwEA4eHhOHz4cEeLRmkjpk6dCrFY\nbGgxKBRKE2ARA2bbFolEGD9+PG7dugUPDw/mhCkhBHZ2dvVOnLJYrC6VHLyz8uDBA3h7e2PHjh1Y\nuHChocWhULo8jd07DbYwLBaLMX36dGzZsqXe8X0Wi0VPc1IoFEoHYJDDYgqFAtOnT8fcuXMxbdo0\nAICzszMKCgrg4uKC/Px8ODk5NVg3IiICvXr1AgDY2NjAz8+PWaXX+Oi68utr167hnXfeMag8bm5u\nAICMjAyt+CrGoB8NwcHBRiOPMb5+VleGlscYX3/99ddGe/85f/48du/eDQDM/VIXHe4OIoQgPDwc\n9vb22Lx5M/P+6tWrYW9vj8jISERFRaG8vLze4jB1B+mn7k3XUBi7O8gYdGTsUB3ppzPpqLF7Z4cb\ngcuXL2PcuHEYMmQI4/LZsGEDAgMDMWvWLGRnZ6NXr17Yv38/E6WQEZYagU6Bxgg8efIE3bt3N7Q4\nFEqXx6iMQGugRqBzoDECMpkMfD7f0OJQKF0eo1wYprQPdX25lIahOtIP1ZF+TEVH1AhQKBRKF4a6\ng0wIlVqFnek7McBhAMb2HGswOag7iEIxLhq7d9J8AibE3eK7+D71ewi4AlxZcMXQ4lAolE4AdQeZ\nEPdL7qPqXhVkShnEcsOFbejduzcSEhKMdhZgKr7c9oTqSD+moiNqBEyIvKo85v9KWaXB5OBwOBg1\napTBrk+hUJoONQImhEQhgWW/2hAc1fJqA0tjvHSWAz6GhOpIP6aiI2oETIgaRU2D/1MoFIouqBEw\nISRKCaruVQEAqhV0JqALU/HltidUR/oxFR1RI2BCSBQS8Dm1i7GGXBimUCidB2oETAiJUgKvAC8A\n1B3UGKbiy21PqI70Yyo6okbAhJAoJXDo5gCALgx3FE+rn+L0w9NQE7WhRaFQWgQ1AiaERCFBdWbt\nzZ+uCeimLX25q8+sxodnP0T8g/g2a9MYMBV/d3tiKjqiRsCEkCglEHKFMOOZ0ZlAByBVSnHn6R0A\nwM2imwaWhkJpGdQImBBiuRiDRwyGOc+crgk0Qlv5cp9WP4VKrQIAFFUXtUmbxoKp+LvbE1PRETUC\nJoJKrUK1vBoWfAuY882pO6gDqJBVMP+bmhGgdB1M1ghUy6vxuPyxocXoMDQ3/ezr2TDnmTfqDpIo\nJDh5/ySKa4r1tnvs3jGM3DGyXdxL5dJyg7it2sqXWy4tBwD0setjckbAVPzd7Ymp6MgkjQAhBCvi\nV2D6/uk4nHHY0OLo5cfrP2LZiWXIq8zTX1gHmnMBZlwzdON1a3QmsPbcWqw7tw5vnHxDb2juTy58\nAqVaCVG5qMWyNURWWRam/HcKXtn/CiqkFforGCEaufva90WJpAQKlcLAElEozcckjUB2RTZS81MB\nAAfvHtRb/kbhDYPNGoprirE9eTv+yvsL25O3N7v+xccXEflHJE5kngAAjBo7CvZm9igQFzRYPq8y\nD+dF5+Fo7oiHpQ+ZhU191A1ORwhBubQcFdIK5kl+z7U9ePG/L2JH2o4mtXfo7iHIlDKU1JTg0N1D\nqFHU4GHpQ6Tnp+N6wXXIlDIQQlBSU4Lsimw8KH2AW0W3UFJTApVahUpZJSQKSZOuBQAlNSW4VnAN\nKrVKry93/+39eP3467hecL3xNiUlAGqNACGkSTOr9oIQAjVR417xPSjVyla31xn93Y/KHtUzxCq1\nCg9KH7SJTp6lPXRECMGmxE34NvlbyJSyep/vvbkXGy5taNP7VafLJ5CQkwAXCxdw2VzcK74HG6EN\nbIQ2YLFYeFL1BOY8c+xM3wkAmDlwJn678xsSchLgZO6EUklpravk/5+SC8QFuFd8D/tu7wOXzcXb\nI96GnZkdWGDhbvFdOJk7wc7MDnKVHO5W7uCyueCyuWCxWMivysdAx4GoUdRAwBXgQekDyJQy5Fbm\nwkZogyHOQ8Dn8MHn8FEmLQMhBBnFGVCoFbASWEGlVoHFYuHso7NQEzVGu49G/MN41ChqYCO0gTnf\nHM7mzjDjmUFN1FCpVZAqpcxZgGp5NYqqi3Ao4xBUahXOZp0FAFgLrOHr4ov4h/FYcGQBBjkOgkwl\nQ7W8Glw2Fw/KHgAANodsRsThCCw9sRSDHAeBz+GDx+ahQlYBqVIKpVqp9cP58OyHWH9pPQgII4uG\nbrxuqFHUwFpojdiUWNQoajCh9wSoiArRidGMq8ScZw4LvgX62vdF/MN4/MPzHyiVlCImOQYxyTEt\nGg8e1h6wFFjCjGsGh24OsBZYQ6lWQqFWwIxrBkuBJfKr8hH3MA4qtQoTPSdizbg1MOebA6h9YHhU\n9gh8Dh92ZnYoqi7CF1e+AADcP30fa8ethQXfAoXVhcirzAOHzYFSrYSzuTN+ufkLnC2c4W3nDQD4\n9dav6GvfF0q1Ep62npCr5KhR1MCcbw4WWJAqpfB18QWXzQWbxcbxzOM4nnkc0ZOiYS20BlB70yqT\nloHH5uHi44uokldhaPehzNizEdqgTFoGpVoJlVoFmUqGXem7kJKfAj6HjwppBeYMnoOxHmNhJbAC\nh81hZodylZwZf4QQcNgcsFm1z4HV8mp043UDl82FiqhgxjWDivy9zsRhc5hZo1KtBI/Dg0QhgYqo\nwGFxwGFzoCZqCDgCsFgsALU3NAKC/Kp8FIgLmO+uQU3UyKnIgZuVG8qkZUh5kgJ/F384Wzg3awwU\nigsRcSQCT6ufMuNRyBVCwBVApVahqLoINkIbOJk7QU3UqFHUwNvOG1KlFFKlFNmV2ehj2wc8Dg8O\n3RzAY/NAUPsAYsG3QImkBE7mTlCpVVATNbpbdkeNoga2Qls8qXoCLpsLNVGjp01P8Dl8qNQq2Hez\nR25lLnhsHrhsLqRKKawEVnA0d2Q2bjiZO4HH4eF45nEcvXcU9t3sMbzHcPx661cAtQ+Irw9/HTZC\nGzytfopvU77FyfsnAQBJeUnYPW03bIQ2OvWSWZIJAUeAh2UPG9WfUWUWi4uLwzvvvAOVSoVFixYh\nMjJS63MWi4Wh3w3V2w6LxcKMATMw13cuZh+YrfeJ8fnez+Nu8V3kV+Uz7/E4vA6b3k8fMB3/9Pkn\nXj/xOoRcIRRqBSqkFVo32obgsrnwcfLB+gnrsf7SeljyLRGMYASNC0JsSixS8lMgKhdByBXCkm8J\nhbr2+0ztNxWLAhbh5P2TiHsQhxpFDRRqBeQqOaz4VujG6wYOmwMumwshV4ie1j2RU5kDC74FAIAF\nFpwtnMFmsSFTypBXlQcBR4AlQ5dgRfwKpBekAwDcrNyQW5mLKd5TwGVzUSGrQKmkFHee3gGXzcXO\nl3dCwBXgp+s/wdXKFW5WbrAWWKNaUQ1RuQgKlQI2QhtYCawg4AqgJmrkVuZCrpLX3pjFhUjNT4WN\n0AZSpRTFNcWolFWCx+GBx+ahSl5Va6Q5Aox0Gwlnc2fsu70PnMccrA1fi5P3T+KvvL/q6dXFwgUb\n/7ERK/9YydxYdPFCnxewdvxaTP11qt6yz/adxsj6OPkguFcw5Co5zjw6g0dlj5rcDgAIuAK4Wro2\nu15jiDPFsOhb298cNgcssKBUK8FmsaEmaljwLVCtqK7nTtQYPKVaCblKrnWITrN9mRACFVFBppRB\nrpLXu7admR2kSinURA0hVwg2i40aRQ34HL6WgQFqf+tCrhCF4kKMcB2BgY4DIVfJmRu8Qq2Aj5MP\n7j69y7hMRRUi8Dl8CLlC8Nl8lMvKYcG3gFQpRamkFAqVAmwWG1KlFNZCaxSKCxvUUdW9Klj2s6x9\nqPt/g9lSxvccj9T8VIjlYozvOR7u1u74+cbPWmV4HB5e7vsyRrqNxKo/VgGoHUcCrgDdLbpjhOsI\nTO0/FQ7dHLDmzzVIyElg6qb+O1Wn69dojIBKpUK/fv1w5swZuLq6Yvjw4di7dy8GDBjAlGGxWEjK\nTUKZpAwylQyO3RzBZXNRJa+CUq2EvZk9ahQ18HHyga2ZLYDap4Q7T++gSl4FOzM7qIka5rzap0Bz\nvjkUKgUGOQ1CcU0x0vPT4WzhDDOuGfrY9UGppBTZFdmwEdqgRFLCPB2r1CrYmtki9Ukq7MzsUCmr\nhFQpRaBrIPrY9cGTqid4XPEYClXtjdVGaAMCAk9bT1jyLVElr2KeHrhsLrpbdGcGd13KJGVQEzXz\nxCbgCADU+v/N+eYQcoX16nz99dd455132qOLmkSFtAJvnXqLcTOtHrMaswbN0ipTJasCm8Vmnsbb\ni7o3Cg03C29izqo5EAQJwOfwsShgEUa4joCKqFAqKUWlrBKj3UfDoZsDZEoZbhXdgoqo4GTuBBcL\nF0gUEnTjdWPGQ3eL7uBxeKiQVuBJ1RNY8C2gUCvwpOoJhFwheGweZKpa11ZhdSHjMrpReAPl0nJ4\nWHswT3cA0MumF/xc/EAIQah3KBzNHZH6JBUCroC5sVkJrMACi3lC97T1hIuFCx6UPoCt0BYJOQlw\nNHdElawKHDYHYrkYcpUcPDYPfA4fxTXF4HF4jAuJgIDH5qFaUc3MUo7uOYoXXnuBqc8CC1w2l3mQ\nEMvFjIHW/CYICEolpQDAXIvL5sLWzBY2QhtcK7jGGBLNn5XAChKFBNZCa/Sz74e7xXeRVZYFS4El\n2Cw2JAoJ2Cw2zHhmDT6UyVQylEnKMNh5MCL8Itp8/NQdO5rxJFPJIOAIEPVVFFa9t4qZ3ZRLyxnD\nXiguhIuFCwgI5Co57M3sISoXQSwXQ03UUKgVTH/2d+gPT1tPFNcUI7MkE8N6DAOPzUN6QToelD5g\nHghDvUPhZVcbFuZc1jk8rniMp9VPoSZqZJVn4VrBNRAQWPItIZaLsXTYUsiUMojKRYiaGKV7/Y8Y\nCQkJCSQkJIR5vWHDBrJhwwatMkYkrtHy8ccfG1oEIlfKyVdXviJ7ru0hSpXS0OLUY/WHq8mB2wdI\nQVWBoUUhhBBSUFVAquXVRCwTG1oUBmMYR8aOsemotKaURCdEkxVxK8gF0QWtzxq7dxrNmkBeXh7c\n3d2Z125ubkhKSjKgRJSWwuPw8N7o9wwthk7MeGaYPnC6ocVgaK4PnEJpCFszW6wYtaLZ9Yxmd1BD\n7hBK8xGJRIYWweihOtIP1ZF+TEVHRjMTcHV1RU5ODvM6JycHbm5uWmW8vLyosWgCe/bsMbQIRg/V\nkX6ojvTTWXTk6+ur8zOjWRhWKpXo168fzp49ix49eiAwMLDewjCFQqFQ2hajmQlwuVxs27YNISEh\nUKlUWLhwITUAFAqF0s4YzUyAQqFQKB2PwReGy8vLMWPGDAwYMAADBw7E1atXsWrVKgwYMAC+vr54\n5ZVXUFFRG6NFJBLBzMwM/v7+8Pf3x7Jly5h2UlNTMXjwYHh7e2P58uWG+jrtQkM6WrduHXx9feHn\n54cJEyZorads2LAB3t7e6N+/P06fPs28T3VUqyM6jv7WkYbo6Giw2WyUlpYy79Fx1LiOTGYctee+\n1aYwb948snPnTkIIIQqFgpSXl5PTp08TlUpFCCEkMjKSREZGEkIIycrKIj4+Pg22M3z4cJKUlEQI\nIeSFF14gp06d6gDpO4aGdFRZWcl8vnXrVrJw4UJCCCG3b98mvr6+RC6Xk6ysLOLl5UXUajUhhOpI\noyM6jv7WESGEZGdnk5CQENKrVy9SUlJCCKHjiBD9OjKVcWTQmUBFRQUuXbqEBQsWAKhdF7C2tsbE\niRPBZteKNmLECOTm5jbaTn5+PqqqqhAYGAgAmDdvHg4fNv7ooU1Bl44sLS2ZMmKxGA4OtbmFjxw5\ngn/961/g8Xjo1asX+vTpg6SkJKqjOjrSRVfUEQCsWLECX3zxhVZ5Oo7060gXnU1HBjUCWVlZcHR0\nxPz58xEQEIDFixejpkY7I9b//u//IjQ0VKuOv78/goODcfnyZQC1B83qbid1dXVFXl7LwzIbE43p\n6KOPPoKHhwd2796NDz74AADw5MkTLV24ubkhLy+v3vtdTUd79uzB+++/r1WHjqMaHDlyBG5ubhgy\nZIhWeTqO9OtIU6ezjyODGgGlUom0tDQsW7YMaWlpMDc3R1RUFPP5559/Dj6fjzlz5gAAevTogZyc\nHKSnp2PTpk2YM2cOqqqqDCV+h9CYjj7//HNkZ2dj/vz5Bo0XZGiaoqOIiAi8++67AOg40ujo448/\nxoYNG/DJJ58w5UgX3ifSXB2ZyjgyqBFwc3ODm5sbhg8fDgCYMWMG0tLSAAC7d+/GyZMn8csvvzDl\n+Xw+bG1rA8MFBATAy8sL9+/fh6urq5bLKDc3F66urh34TdqPxnSkYc6cOUhOTgZQ/9Bdbm4u3Nzc\nqI7q6IiOo1odpaenQyQSwdfXF71790Zubi6GDh2KwsJCOo7QuI6KiopMZhwZ1Ai4uLjA3d0dmZmZ\nAIAzZ85g0KBBiIuLw5dffokjR45AKPw7UmZxcTFUqtrE3o8ePcL9+/fh6emJ7t27w8rKCklJSSCE\n4KeffsK0adMM8p3aGl06evDgAVPmyJEj8Pf3BwC8/PLL+PXXXyGXy5GVlYX79+8jMDAQLi4uVEf/\nryM6jmp1NHToUBQUFCArKwtZWVlwc3NDWloanJ2d6ThC4zpycnIynXFkwEVpQggh165dI8OGDSND\nhgwhYWFhpKysjPTp04d4eHgQPz8/4ufnR15//XVCCCEHDhwggwYNIn5+fiQgIIAcP36caSclJYX4\n+PgQLy8v8tZbbxnq67QLDelo+vTpxMfHh/j6+pJXXnmFFBYWMuU///xz4uXlRfr160fi4uKY96mO\nanV08OBBOo7CwpidLxp69+7N7HwhhI4jfToylXFED4tRKBRKF8bgh8UoFAqFYjioEaBQKJQuDDUC\nFAqF0oWhRoBCoVC6MNQIUCgUSheGGgEKhULpwlAjQKFQKF0YagQoFAqlC0ONAIXSyfjss8+QmpoK\noDaK5aJFi7SSvgC1YTJ2795tAOkonQ1qBCidjnfffRdbtmxhXoeEhGDx4sXM6/feew+bN29u02ta\nWFi0aXsVFRX49ttvmdcikQiDBw9uUl13d3cMHToUQG3Y4rCwMBQUFGiVmTp1KlgsVtsJTDFZqBGg\ndDqCgoKQkJAAAFCr1SgpKcGdO3eYzxMTEzFmzJg2vWZb31DLysqwffv2VrcTFBSEY8eOYd68eW0g\nFaUrQo0ApdMxatQoJCYmAgBu374NHx8fWFpaory8HDKZDHfv3oW/vz+mTZuGYcOGwcfHBz/88ANT\n/4MPPtC6Af/nP/9BdHQ0fv75Z4wYMQL+/v5YunQp1Gp1vWvrKiMSiTBgwAAsWbIEPj4+CAkJgVQq\nBQB8+umn6N+/P8aOHYs5c+YgOjoaH3zwAR4+fAh/f39ERkaCxWJBpVI1WL8xHj9+jMOHD+PEiROt\n0iml60KNAKXT0aNHD3C5XOTk5CAxMRGjRo1CYGAgEhMTkZKSgsGDB4PH42HXrl1ISUlBcnIytm7d\nyiQInz17Nvbv38+099tvv2HEiBHYv38/EhISkJ6eDjabrZXLAgAyMjIaLfPgwQO8+eabuHXrFmxs\nbHDw4EEkJyfj0KFDuHHjBk6dOoWUlBSwWCxERUXBy8sL6enp2LhxIwghuH//fr36+vjtt9/www8/\nIDo6uo20S+lqcA0tAIXSEkaPHo2EhAQkJCRgxYoVyMvLQ0JCAqytrREUFAQA2LJlC5PbNTc3F/fv\n38eIESPg5+eHoqIi5Ofno6ioCLa2trh+/TpSU1MxbNgwAIBEIoGLi4vWNc+ePdtomd69ezMpCIcO\nHQqRSITi4mJMmzYNfD4ffD4fL730ks7sXQ3VbwyxWAwej4cXX3wRK1euRHp6OpMzgUJpKtQIUDol\nY8aMwZUrV3Dz5k0MHjwY7u7u+Oqrr2BtbY0FCxbg/PnzOHv2LK5evQqhUIjnnnsOMpmMqT9z5kwc\nOHAABQUFmD17NgghCA8Px/r163VeU18ZgUDA/M/hcCCRSJh6ddvQha76uti1axfOnTuHa9eugcfj\nMS4tCqU5UHcQpVMyevRoHD9+HPb29mCxWLC1tUV5eTkSExMxevRoVFZWwtbWFkKhEBkZGbh69apW\n/dmzZ2Pv3r04cOAAZs2ahQkTJuDAgQN4+vQpAKC0tBTZ2dladZpS5lnGjBmDY8eOQSaTQSwW48SJ\nE2CxWLC0tGxVPlqlUomsrCwcPnwYu3btQnx8PI4cOaKVEpJCaQrUCFA6JT4+PigpKcHIkSOZ94YM\nGQIbGxvY2dlh8uTJUCqVGDhwID744AOMGjVKq/7AgQMhFovh5uYGZ2dnDBgwAJ999hkmTZoEX19f\nTJo0SWvbJYvFalKZurBYLAwbNgwvv/wyhgwZgtDQUAwePBjW1taws7PDmDFjMHjwYGZhuKH6uoiI\niEBKSgoqKioA1K5HCAQChIWFoaampvkKpXRZaGYxCqWdqa6uhrm5OWpqajB+/Hj88MMP8PPza3F7\ne/bsQXh4eJuVo3Rt6JoAhdLOLFmyBHfu3IFUKkVERESrDACF0tZQI0ChtDPPbjVtLTk5OUhNTWVO\nDTfEkSNHGl2EplA0UHcQhUKhdGHowjCFQqF0YagRoFAolC4MNQIUCoXShaFGgEKhULow1AhQKBRK\nF4YaAQqFQunCUCNAoVAoXRhqBCgUCqUL83/9Myc9bSh86QAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x4734bd0>"
]
}
],
"prompt_number": 10
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Multiple subplots in a figure\n",
"\n",
"Sometimes we want to have two graps sitting next to each other in each their coordinate system. Accomplishing this can - Surprise! - happen in several different ways. If you are happy with your figures having the same height and the same width, the easiest way is the `subplot()` command. This takes as input three numbers $(i, j, k)$ denoting that this call creates the $k$'th subplot on an equal-spaced $i \\times j$ grid. For example:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.subplot(3, 3, 1)\n",
"plt.plot(x, sp.sin(x))\n",
"plt.subplot(3, 3, 2)\n",
"plt.plot(x, sp.sin(x)) # ...etc.\n",
"plt.tight_layout()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x415d290>"
]
}
],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"...This is more than my patience can bear to do, so I'll let a loop do it for me.\n",
"\n",
"Try to remove the `plt.tight_layout()` function below and see what happens:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"colors = ['r', 'g', 'b', 'c', 'm', 'y', 'k', 'orange', 'teal']\n",
"\n",
"for j in range(9):\n",
" plt.subplot(3, 3, j+1)\n",
" plt.plot(x, sp.sin(j*x), color=colors[j])\n",
" plt.axis((0, 10, -1.2, 1.2))\n",
"\n",
"plt.tight_layout()\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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jQEwMfTB4wYLI6P7Vr4CbbqIP7v761/TfQBPGSgZJ3cxXrVqFu+66i1e42AOH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\n0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"text": [
"<matplotlib.figure.Figure at 0x52a6490>"
]
}
],
"prompt_number": 12
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You can 'cheat' `subplot()` into letting you create certain kinds of different sized plots like this:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.subplot(4, 1, 1)\n",
"plt.plot(x, sp.cos(x), color='r')\n",
"plt.subplot(4, 1, 2)\n",
"plt.plot(x, sp.sin(x), color='g')\n",
"plt.subplot(2, 1, 2) \n",
"plt.fill_between(x, y, color='#135343', edgecolor='k', alpha=.4)\n",
"plt.plot(x, sp.sqrt(x), color='orange', lw=1.2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 20,
"text": [
"[<matplotlib.lines.Line2D at 0x698ded0>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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8DBL7dSzp9UkvkpyVrLQ5hJB6nsg1mUykW7duJD09nRiNRpsTuVevXi2bUDx6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\n",
"text": [
"<matplotlib.figure.Figure at 0x64ec210>"
]
}
],
"prompt_number": 20
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For anything more advanced than this, the package `matplotlib.gridspec` can be used.\n",
"\n",
"## Colors\n",
"\n",
"Matplotlib knows about any ways of defining colors. For the six seven base colors red, green, blue, cyan, magenta, yellow, white and black, a single letter('r', 'g', 'b', 'c', 'm', 'y', 'w', 'k') is enough to specify the color as above. Matplotlib understands the most common HTML/SVG colors which can be looked up online. Matplotlib also understands HTML color codes in `#F3F3F3` style, as well as RGB and RGBA tuples. So, really, there is no limit to the variety of colors one can define."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Learn more\n",
"\n",
"There is a wealth of online resources for learning to use Matplotlib... (blabla)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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