{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Scientific Python stack\n",
"\n",
"\n",
"image: @jakevdp\n",
"\n",
"## Python"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0\n",
"2\n",
"4\n",
"6\n",
"8\n"
]
}
],
"source": [
"x = range(5)\n",
"y = range(5)\n",
"\n",
"for xi,yi in zip( x, y ):\n",
" print( xi + yi )"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Numpy"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([0, 2, 4, 6, 8])"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import numpy as np\n",
"\n",
"x = np.arange( 5 )\n",
"y = np.arange( 5 )\n",
"\n",
"x + y"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Avoid for loops and vectorise your code!**"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"z = np.zeros_like( x )"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The slowest run took 9.89 times longer than the fastest. This could mean that an intermediate result is being cached.\n",
"100000 loops, best of 3: 2.3 µs per loop\n"
]
}
],
"source": [
"%%timeit\n",
"\n",
"for i in range( len(x) ):\n",
" z[i] = x[i] + y[i]"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The slowest run took 32.41 times longer than the fastest. This could mean that an intermediate result is being cached.\n",
"1000000 loops, best of 3: 573 ns per loop\n"
]
}
],
"source": [
"%%timeit\n",
"\n",
"z = x + y"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Almost 5x faster with vectorised operations and more readable/intuitive code\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Matplotlib"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYsAAAEACAYAAABCl1qQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nZFhIkpoMC0lS0/8DzSrgeX9nXMkAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"plt.plot()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"If you need inspiration, take a look at matplotlib's gallery: http://matplotlib.org/gallery.html"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Seaborn\n",
"\n",
"Or in alternative you can use seaborn:\n",
"http://stanford.edu/~mwaskom/software/seaborn/examples/index.html\n",
"\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Corner\n",
"\n",
"For *sick* corner plots there's corner, you can install from pip.\n",
"\n",
" pip install corner\n",
"\n",
"And you can get stuff like this: \n",
""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Scipy\n",
"\n",
"Scipy is a collection of numerical algorithms and domain-specific toolboxes, including signal processing, optimization, statistics and much more.\n",
"\n",
" cluster \t\tClustering algorithms\n",
" constants \t\tPhysical and mathematical constants\n",
" fftpack \t\tFast Fourier Transform routines\n",
" integrate \t\tIntegration and ordinary differential equation solvers\n",
" interpolate \tInterpolation and smoothing splines\n",
" io \t\t\t\tInput and Output\n",
" linalg \t\t\tLinear algebra\n",
" ndimage \t\tN-dimensional image processing\n",
" odr \t\t\tOrthogonal distance regression\n",
" optimize \t\tOptimization and root-finding routines\n",
" signal \t\t\tSignal processing\n",
" sparse \t\t\tSparse matrices and associated routines\n",
" spatial \t\tSpatial data structures and algorithms\n",
" special \t\tSpecial functions\n",
" stats \t\t\tStatistical distributions and functions\n",
" weave \t\t\tC/C++ integration"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"0.682689492137086"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from scipy import stats, integrate\n",
"\n",
"stats.norm.pdf( 1 )\n",
"\n",
"integrate.quad( stats.norm.pdf, -1, 1 )[0]"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"0.99730020393673979"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"stats.norm.cdf( 3 ) - stats.norm.cdf( -3 )"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It is even possible to read IDL save files!!!"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"{'x': array([ 0., 1., 2., 3., 4., 5., 6., 7., 8., 9., 10.,\n",
" 11., 12., 13., 14., 15., 16., 17., 18., 19., 20., 21.,\n",
" 22., 23., 24., 25., 26., 27., 28., 29., 30., 31., 32.,\n",
" 33., 34., 35., 36., 37., 38., 39., 40., 41., 42., 43.,\n",
" 44., 45., 46., 47., 48., 49., 50., 51., 52., 53., 54.,\n",
" 55., 56., 57., 58., 59., 60., 61., 62., 63., 64., 65.,\n",
" 66., 67., 68., 69., 70., 71., 72., 73., 74., 75., 76.,\n",
" 77., 78., 79., 80., 81., 82., 83., 84., 85., 86., 87.,\n",
" 88., 89., 90., 91., 92., 93., 94., 95., 96., 97., 98.,\n",
" 99.], dtype=float32)}"
]
},
"execution_count": 48,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from scipy.io import readsav\n",
"\n",
"readsav( 'hackinghour.sav' )"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Pandas"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import pandas as pd"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"
\n",
" \n",
" \n",
" | \n",
" A | \n",
" B | \n",
" C | \n",
" D | \n",
"
\n",
" \n",
" \n",
" \n",
" count | \n",
" 8 | \n",
" 8 | \n",
" 8.000000 | \n",
" 8.000000 | \n",
"
\n",
" \n",
" unique | \n",
" 2 | \n",
" 3 | \n",
" NaN | \n",
" NaN | \n",
"
\n",
" \n",
" top | \n",
" foo | \n",
" one | \n",
" NaN | \n",
" NaN | \n",
"
\n",
" \n",
" freq | \n",
" 5 | \n",
" 3 | \n",
" NaN | \n",
" NaN | \n",
"
\n",
" \n",
" mean | \n",
" NaN | \n",
" NaN | \n",
" 0.292128 | \n",
" 0.143562 | \n",
"
\n",
" \n",
" std | \n",
" NaN | \n",
" NaN | \n",
" 0.494660 | \n",
" 0.738889 | \n",
"
\n",
" \n",
" min | \n",
" NaN | \n",
" NaN | \n",
" -0.540147 | \n",
" -0.785865 | \n",
"
\n",
" \n",
" 25% | \n",
" NaN | \n",
" NaN | \n",
" -0.017711 | \n",
" -0.532360 | \n",
"
\n",
" \n",
" 50% | \n",
" NaN | \n",
" NaN | \n",
" 0.393194 | \n",
" 0.245777 | \n",
"
\n",
" \n",
" 75% | \n",
" NaN | \n",
" NaN | \n",
" 0.641208 | \n",
" 0.660786 | \n",
"
\n",
" \n",
" max | \n",
" NaN | \n",
" NaN | \n",
" 0.886300 | \n",
" 1.118247 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" A B C D\n",
"count 8 8 8.000000 8.000000\n",
"unique 2 3 NaN NaN\n",
"top foo one NaN NaN\n",
"freq 5 3 NaN NaN\n",
"mean NaN NaN 0.292128 0.143562\n",
"std NaN NaN 0.494660 0.738889\n",
"min NaN NaN -0.540147 -0.785865\n",
"25% NaN NaN -0.017711 -0.532360\n",
"50% NaN NaN 0.393194 0.245777\n",
"75% NaN NaN 0.641208 0.660786\n",
"max NaN NaN 0.886300 1.118247"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df = pd.DataFrame({'A' : ['foo', 'bar', 'foo', 'bar',\n",
" 'foo', 'bar', 'foo', 'foo'],\n",
" 'B' : ['one', 'one', 'two', 'three',\n",
" 'two', 'two', 'one', 'three'],\n",
" 'C' : np.random.randn(8),\n",
" 'D' : np.random.randn(8)})\n",
"\n",
"df.describe( include='all')"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"
\n",
" \n",
" \n",
" | \n",
" | \n",
" C | \n",
" D | \n",
"
\n",
" \n",
" A | \n",
" B | \n",
" | \n",
" | \n",
"
\n",
" \n",
" \n",
" \n",
" bar | \n",
" one | \n",
" 0.595831 | \n",
" 0.087909 | \n",
"
\n",
" \n",
" three | \n",
" 0.048922 | \n",
" -0.785865 | \n",
"
\n",
" \n",
" two | \n",
" 0.886300 | \n",
" -0.471362 | \n",
"
\n",
" \n",
" foo | \n",
" one | \n",
" 0.118596 | \n",
" 0.755637 | \n",
"
\n",
" \n",
" three | \n",
" -0.217610 | \n",
" 0.403645 | \n",
"
\n",
" \n",
" two | \n",
" 0.393194 | \n",
" 0.201447 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" C D\n",
"A B \n",
"bar one 0.595831 0.087909\n",
" three 0.048922 -0.785865\n",
" two 0.886300 -0.471362\n",
"foo one 0.118596 0.755637\n",
" three -0.217610 0.403645\n",
" two 0.393194 0.201447"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.groupby(['A','B']).median()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Scikit-image\n",
"\n",
"http://scikit-image.org/docs/dev/auto_examples/"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Scikit-learn\n",
"\n",
"* Principal Component Analisys\n",
"\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* Clustering (dividing into groups)\n",
"\n",
"\n",
"\n",
"* Good old hand write recognition\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Astropy"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Core data structures and transformations\n",
"\n",
" Constants (astropy.constants)\n",
" Units and Quantities (astropy.units)\n",
" N-dimensional datasets (astropy.nddata)\n",
" Data Tables (astropy.table)\n",
" Time and Dates (astropy.time)\n",
" Astronomical Coordinate Systems (astropy.coordinates)\n",
" World Coordinate System (astropy.wcs)\n",
" Models and Fitting (astropy.modeling)\n",
" Analytic Functions (astropy.analytic_functions)\n",
"\n",
"Connecting up: Files and I/O\n",
"\n",
" Unified file read/write interface\n",
" FITS File handling (astropy.io.fits)\n",
" ASCII Tables (astropy.io.ascii)\n",
" VOTable XML handling (astropy.io.votable)\n",
" Miscellaneous Input/Output (astropy.io.misc)\n",
"\n",
"Astronomy computations and utilities\n",
"\n",
" Convolution and filtering (astropy.convolution)\n",
" Data Visualization (astropy.visualization)\n",
" Cosmological Calculations (astropy.cosmology)\n",
" Astrostatistics Tools (astropy.stats)\n",
" Virtual Observatory Access (astropy.vo)\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Pymc"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" [-----------------100%-----------------] 100000 of 100000 complete in 20.4 sec"
]
}
],
"source": [
"from pymc.examples import disaster_model\n",
"from pymc import MCMC\n",
"\n",
"M = MCMC(disaster_model)\n",
"\n",
"M.sample(iter=100000, burn=1000, thin=10)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Plotting switchpoint\n",
"Plotting early_mean\n",
"Plotting late_mean\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAlYAAAFwCAYAAAB6uDWpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nuZT8HyYN/gpAeF/wAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAlgAAAFwCAYAAABkcQUaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nMzMrmQssMzMzs5K5wDIzMzMr2f8DeZGKpizEHvEAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAlgAAAFwCAYAAABkcQUaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3XmYFNXZ9/HvDYKooFFcAYMRF0RAISw+UcOACxiNaHxF\nRaMQo4i7JsYl+gCJxhAlQeOSB4OCRoKIGlyI4jYx7ggiCOIaUEBwCYqIqMD9/lHdMzU9vU/PdNXM\n73NdXFNdXcupPkPXPefcdY65OyIiIiJSOs3KXQARERGRxkYBloiIiEiJKcASERERKTEFWCIiIiIl\npgBLREREpMQUYImIiIiUWM4Ay8wmmtkqM5ufZZsKM3vVzF43s6dLW0QRkdrMrIOZPWVmC81sgZmd\nl1g/ysyWmdncxL9BoX0uN7O3zewNMzs8tL6nmc03s7fMbHw5rkdEGhfLNQ6WmR0ErAXudPfuad7f\nBngeONzdl5vZ9u7+Sb2UVkQkwcx2BnZ293lm1hqYAwwGTgC+cPc/pmy/DzAF6A10AJ4A9nR3N7OX\ngHPdfbaZzQRucPfHGvJ6RKRxydmC5e7PAquzbDIUuM/dlye2V3AlIvXO3Ve6+7zE8lrgDaB94m1L\ns8tgYKq7b3D3JcDbQJ9EoNbG3WcntrsTOKZeCy8ijV4pcrD2ArYzs6fNbLaZ/bQExxQRyZuZ7Qbs\nD7yUWHWumc0zs78mWtkhCL4+CO22PLGuPbAstH4Z1YGaiEhRShFgbQb0BI4ABgFXmdkeJTiuiEhO\nie7B6cAFiZasW4Dd3X1/YCUwrpzlE5GmabMSHGMZ8Im7rwfWm9kzwH7AO6kbmpkmPhRpgtw9XZdd\nnZnZZgTB1V3uPiNxro9Dm9wGPJRYXg7sGnqvQ2JdpvXpzqfvMJEmptjvr3xbsIz0OQ0AM4CDzKy5\nmW0J9CXIhUjL3RvFv1GjRpW9DLqWxnkdje1a6tntwCJ3vyG5IpFTlfQT4PXE8oPAiWbW0sy+B+wB\nvOzuK4HPzayPmRlwKsH3Wlrl/jwb0+9PQ5azLvUXl88zTmWNSznrImcLlplNASqAtmb2PjAKaBn8\nnvoEd19sZo8B84GNwAR3X1SnUomI5GBmBwInAwvM7FXAgSuAoWa2P7AJWAKMAHD3RWY2DVgEfAuc\n7dXfoOcAk4BWwEx3f7QBLyXSxowZA8CoUaPKXBIB1Uec5Ayw3H1oHttcD1xfkhKJiOTB3Z8Dmqd5\nK2Nw5O7XAtemWT8H6Fa60jUeupFHi+ojPjSSe5EqKirKXYSSaSzX0liuAxrXtUjDi8vvj8pZenEp\na1zKWRc5Bxot6cnMvCHPJyLlZ2Z4PSW5NzR9h8VXkF5HnfNqpGmpy/eXWrBERCSjMWPGVOX9SPmp\nPuJDLVgiUq/UgiVRoBYsKYZasEREREQiRAGWiIiISIkpwBIRkYyU8xMtqo/4UA6WiNQr5WBJFCgH\nS4qhHCwRERGRCFGAJSIiIlJiCrBERCQj5fxEi+ojPpSDJY3Cq69C//7w2WflLomkUg6WRIFysKQY\nysGSJu+VV+Dzz8tdChERkUCkAqzJkydzyy23ZHz/tttua8DSFGbGjBl88skn5S6GiIiIRECkAqxc\nJkyYUO4iZPSPf/yDVatW1Vrf1Jujv/mm3CUQaXjDhw/n/vvvz7rN5MmTWblyZQOVqHipOT+TJ0/m\nvPPOS7vtUUcdxZo1azIe64YbbmD9+vUlL2NTohys+Nis3AXI5OSTT2bFihVs3LiRKVOm8Morr/Dm\nm28yYMAAzjzzTPr27cvIkSP55ptv6NGjB+PGjat1jKVLlzJ06FB23XVXFi5cyFVXXcVdd93FsmXL\nmD59Op06dWLy5MlMnDiRTZs2cfXVV1NRUcH111/PI488whdffMHYsWM55JBDGD58OK1ateLdd9+l\ndevWNb48lyxZwqOPPsqiRYvo378/++yzD48++ijr1q1j5MiRPP7448yZM4f169czYcIEunfvzuzZ\ns7n44otp0aIFRx55JL/4xS+49tpreeyxxwC4+eab2XfffRvs864Pn34K228PTTzGFElr0qRJdO3a\nlZ133rncRclq1KhRtdYl85lSPfzww1mPNX78eH7605/SqlWrkpStKUpXHxJR7t5g/4LTZTZp0iS/\n+eab3d39q6++cnf3Bx54wK+88kp3d+/du3fVtkOGDPH33nvP3d1Hjhzpc+bMqXW8JUuWeJcuXdzd\nfdasWd6rVy93d58xY4aPGjXKP/30Ux80aJC7u3/55ZdeUVFR49wfffSR9+vXz93dhw0b5nfddZe7\nu5944om+YMGCGucaPny4L1y4sOo6Tj311Kr3ksd79dVX/eSTT3Z39wMPPNCXL19etc3rr7/up512\nmru7r1ixwgcPHpz1s4qD9993z1HlJTNhQsOdSwqT+H/foN819fUv13dY0rBhw/y+++5zd/ff/OY3\n3qdPH+/WrZuPGDHC3d2nT5/urVu39s6dO3uPHj18/fr1PmfOHO/Xr5/36tXLBw0a5CtXrsx4/IqK\nCr/ooou8V69e3qVLF589e7b/5Cc/8b322qvq+9Ld/W9/+5v36dPHe/To4WeddZZv2rTJ3YPvzN69\ne3vXrl199OjRVdvvtttuPmrUKO/Zs6d3797d33zzzVrnnjRpkv/kJz/xQYMG+V577eW/+tWvauz/\n6aef+pdffulHHnmk77///t6tWzefNm2a33jjjd6yZUvv3r27DxgwIK/PsZQAz7f+RJLq8v2Vs4vQ\nzCaa2Sozm59ju95m9q2Z/aSuQd+mTZu45JJLqKio4He/+x0rVqwg8c1Wtc3ixYs5/fTT6d+/P7Nn\nz2bZsmVpj9WlSxcA2rVrR9euXQFo3749q1ev5t1332XhwoUMGDCAI488kk8//RQImsD79evHkCFD\najTh9+jRA4AOHTqwevXqGucJlw2gd+/eVct/+MMf6NevH+effz4ffvghAN988w3t2rWr2mbRokU8\n//zzDBgwgJNPPpl169YV8IlFk1quijNiBLz/frlLIaVy3nnn8dJLLzF//nzWrVvHI488wnHHHUev\nXr2YMmUKc+fOpXnz5px33nncd999zJ49m+HDh3PFFVdkPe7mm2/O7NmzGTFiBIMHD+bWW29lwYIF\nTJo0idWrV7N48WLuuecenn/+eebOnUuzZs24++67Afjd737Hyy+/zGuvvUZlZSWvv/561XF33HFH\n5syZw1lnncV1112X9tyvvfYa9957L/Pnz+eee+5h+fLlQHXL1qOPPkr79u159dVXmT9/PoMGDeK8\n886jffv2VFZW8uSTT5bioxWJtHy6CO8A/gzcmWkDM2sG/B54rBSFmjdvHp999hmVlZXcf//9Vc3O\n4Wbpzp07c/3117PrrrsCQVCWS3h/d2f33Xdnv/3246GHHgJg48aNANx0003Mnz+fjz/+mIMPPjjj\n/mEtWrSo2h+gWbMgdv3vf//L448/zr///W/mzp3LL3/5SwBatWrFihUraNeuHe5O586dqaioqMoz\nCx9LmpYJE6BnzyDQkvh78sknue6661i3bh2rV6+ma9euHHnkkUD198ibb77J66+/zmGHHYa7s2nT\nphp/gKVz9NFHA9CtWze6du3KjjvuCECnTp344IMPqr5zevfujbuzfv16dtppJwCmTp3KbbfdxoYN\nG1i5ciWLFi2q+gP02GOPBeD73/8+DzzwQFW+T7hr6pBDDqF169ZA8Efs0qVLad++fdX1dOvWjV/+\n8pdcfvnlHHnkkRx00EFV15v63SmFSVcfEk05Ayx3f9bMOubY7DxgOtA7x3Z56dy5M0uXLmXgwIF0\n7ty5an3//v059thjGT58OGPHjmXEiBGsX7+ezTbbjNtvv50OHTrUOlamXAGAtm3bcsIJJ9CvXz+a\nN29O9+7dGT9+PAcddBAHHXQQffv2pU2bNrWOk+6YRxxxBBdeeCGHHnoo7du3r1q/7bbb0rZtWwYM\nGEDfvn2r1o8bN44hQ4bQsmXLqhysPfbYg4qKCpo3b85hhx3GZZddVtgHJ42G7kGNw9dff80555zD\n3LlzadeuHWPGjEmb5O3udO3aleeeey7vY2+++eZA8MdcchmC76cNGzbg7px22mlcc801NfZbsmQJ\n48aNY86cOWy99dYMHz68RpmSx2revDkbNmxIeyMPny+5Xdiee+7J3LlzmTlzJldeeSWHHnooV155\nZd7XJpkpsIqPOie5m1k74Bh3729mfepyrNNOO61q+Zlnnqn1/tixY2u8njlzZtbjdezYkWnTpgGw\n7777cvvttwPBX2bf//73ATjllFM45ZRTaux366231jpWcl8IuvxSHXvssVV/+YWZGf/4xz9qre/d\nuzfPPvtsjXW/+tWv+NWvfpX1mqRpUIDVOKxfvx4zo23btqxdu5bp06dz/PHHA9CmTZuqJ+723ntv\nPv74Y1588UUOOOAANmzYwFtvvVWV4lCMQw45hGOOOYYLL7yQHXbYgdWrV/PFF1+wZs0aWrduTZs2\nbVi1ahX//Oc/6d+/f0muN+nDDz9ku+22Y+jQoWyzzTZMnDgRgK233po1a9aw3XbblfR8IlFUiqcI\nxwOXhl5nHfF09OjRVcsVFRVUVFTU6eTf+x689Rb85z9vMWLEiOSoq5gZd999N7vsskudji9Sbps2\nwZo18J3vlLsk+amsrKSysrLcxSirZCv3Nttsw89//nP23XdfdtllF/r0qf4bdNiwYZx11llsueWW\nvPDCC9x7772cf/75fP7552zcuJELL7wwY4CVrWU++d4+++zD1VdfzeGHH86mTZto2bIlN998M336\n9GH//fdnn332Ydddd63qvst13FznCy8vWLCASy65hGbNmtGyZcuqP1rPOOMMBg0aRPv27ZWHJY1e\nXlPlJLoIH3L37mneey+5CGwPfAmc6e4PptnWS93/bhZMj7LNNiU9rJTA++9Dx44N0xpz221w5pmN\no+XHDG6+Gc4+O3j9l7/AyJHxvTZNlRNvjSXnp7FMldNY6iMu6vL9lW8LlpGhZcrddw8V5A6CQKxW\ncCVSn4r4wzs2Pvig3CWQpkw38mhRfcRHzgDLzKYAFUBbM3sfGAW0JBgbInVo9Qb90+DyyxvybFKo\nmP+hWGXWLDjssMYdxEk0nXvuuTz33HM1Uh8uuOCCGvmqIhJN+TxFODTfg7n7z+pWnMJMn96QZ5Mo\n+eQT2HLL4B/UbzA3cCCsWAENmc7XWIJTqZubbrqp3EUQkSLFai7CTHQzahwKmaJshx1g2LB6K0pe\nnnsuyI0yg3/9q/7Oo5YzKSfNfRctqo/4iOxchKk2boRp0+Ckk6rXlerG8+WX8PLLUOInlevFm2/C\n44/DueeW5/yvvw7bbQc5xkCs4dtvg7raLMdv2xZbBE/M5Vuv5c5Nuv324B/A/PnQr1/pjq0/GiQq\nlPMTLaqP+IhNC9b8+TA0Q2dlphuyO2SYQaeGG2+EAQOKL1tDuv56yDCRfYPo1g2OOSa/bZNBQs+e\ncNRR9VemsLffrp/jNnQrkgIsEZF4i02AlU6um95DD0FiJp2s8phlR0K+/baw7V9/HV56qfTlCAch\nyd+FxHSSDaIxdt2tWwfz5pW7FCIi8Vf2AGvZMvj97+vn2CnzMUsDKyYAqWvLTUMGy/le37ffwp/+\nVP/nKYVrr4XEnOYigHJ+okb1ER9lz8GaPBmuvBKKmXYveeMp5Kb8u9/B9tsHg1KmHicO5s4tdwny\nV9/dXOHjJ5cbsmst/HuTWpZnnqnOyXrrLbj4YrjoovyPXa4uwkIeNJCmISo5P+7O3Llz2VTEX1Fb\nJh83bgSiUh+SW9kDrPqULnD69a9rB1jl5g4PPww//nHubeMUYIXlGzBEtQWrkCB8yRKoqKifIGnt\n2iC5f599sm/nHnT3bbVV+vfN4KyzIM20myKR9I9//IOTTjqdVq06FbzvunWL6qFEItmVvYuwFOLQ\nAvXEE5lv/mvWwNFHN2x5GrNDD4Uvvihu3z32gAmpw+cWqBRBXrr8MoBLLoEuXXIPsnvrrdC6dfZt\n/vKX4ssn0tDWrVtHixZH8Pnnswv+t+WWxU+aLVKssgdY2YKjn/wkmMvuhhsK3zedTz4pzXGKcdhh\n8Mortdc/+WRxLR3TpsFXX9W9XPnYtAk2bKh+XcznVexnPG4c3Htv+vcyfW5PPhm0IiW9/DIsX57f\n+d59N9g/H/leUzH1m677E4IWLMidt/if/xR+ztRziYByfqJG9REfke4ifOCB4Odf/gI//GHh+6fe\nAE85Jf36hpLu5nXooTBnTuHHOuEEmDo1+JnOV1/B55/DzjvnLk+uz2PoUJg9Owg+CpEpSMh3H4Bf\n/hJ23x2OPz77ftmuoW/foMvu6afzK0O+wucs9nfq22+DwL8+R4lfuRIOOgjeeaf0x37/fdhpJ9h8\n89IfW6JBOT/RovqIj0i3YCW5p79BF5rk/uWX+ZerPjRk68A55+S+af/4x9kD1wUL4N//DoZYeO+9\nupfp+OODkc9LJVn/X3wBZ5xRc12ptW+f/f1i63bs2PwHbb311szX9+KLwQC0qV5/Hd54o/DgOF8d\nO8JvflM/xxYRibOyB1jFmjMnuHE0tA0banaX5fL110E3V0P78MPg529+A1dfnX6bJ5+EZ5/NfIyj\njgoCsFIFhtOnw5Qpxe17wgkwY0bNdclyffZZ3cqVKl0Qs3Fj7SAlU7CTuj5b0LdqVfr16XKwnnkm\n83F+/GM4/PDa67t1y7xPqfz3v/V/DhGRuIlFgOVe+ybVq1f1cqGtFpm2v+667Pudeiq0aAH/8z/p\n3x89OsiNCps7N+jmgtK3YOVz3aNGwVVXBQFC2DvvFP5IfraWik8+Kc0gn5laKqdNg7/9Lf/jPPZY\n3cuS6q9/zW+7TikPOTWFvKYPPgj+mJDGRzk/0aL6iI+y5mBt3AhXXFGaY/XvD/vuC8VMPp8MVB57\nLHhKK5O77gp+pktWBxgzBrp2hSFDCi9DqaUGXx99VLPLsE+f/I+RDM6SXf/pAruuXYO5BHMlV2eb\n1qiU/vd/g+T2UtaFe5DbtnZtMNl0febyhT+PSZOqlzOdM9MDHA3BHb773eDJxt/9rnzlkPqhnJ9o\nUX3ER1lbsNaty2+7fG6+lZXB1Dj5qI+bfOogkn/5S80n2YopT33tB7VbtLJJnc8x3ee0alVpJl9O\nFyh88036bXPl5d17b3VQHPb118Xn451xBuy4Y+kCwnx+F5Ofa9RbwsoZ5ImIRE0sugjffrv6Mfs/\n/KH2+5lG8S40ACnmBrZmTZADNH58zWOMHAl//nPxx//b32p3NRWiFK0rS5fm3mbt2ux5XIVKl/Bd\nTOCW7bMePBi+973M72fLrUqW5eKLSztMw4MP5rdd+JwTJ9Z+/5hjMg9rUl+SZbr99oY9r4hIlOUM\nsMxsopmtMrP5Gd4famavJf49a2b1kla7YkXw89JLS3/sugQjBx6YeVTtdLlj+Xryybo9uTdzZvb3\n16wp/thh110HBx8cLKcGCOkChs8/D7pzw774Ir+R9fM5fqb3XnyxennhQvj448z7Tp2a+ZjJRPOX\nXy68bt95B958M/17gwfXDiSvuaZmS2Pq+dJNyjxjBlx4YWHlKpVCWkUlPpTzEy2qj/jIpwXrDmBg\nlvffA37o7vsBVwO35XPiTz7JPbZRoQp5eivsf/83+Jnuhv3NN8GQB5m8914wzlApWoySQSTkd7yH\nH4Zzzw22TQ5AmY9cYxY98UT+T0oWM2p5ZWXN1wsW5JdAft99NV+nGz8s0+/A+vXV11Sq3KnZs/Pb\nLnm+Xr2gc+dg7KvKSthzz+z7XXll8LuVlBqwRyWgiXrXpdTNqFGjlPcTIaqP+MgZYLn7s8DqLO+/\n6O6fJ16+COQYMSgwe3b6J72KeRLp/vuDn9mCgkcfrdmV9dFH1S0pyRyfdOdevhxuuSV3GUpx027f\nPgg28nXnnXDzzcHy118H+27cmP6GF16XKacp6bDDgs8rk/C1Ngv9BhV7o0397D7/HHr0gLvvLvxY\nqWUI/060aFH4FDrZcrVefrl6OV1rEgSfdeocky1bBr972Qb+zOezXLgw9zb5mDcveDhhzRpYvLg0\nxxQRaepKnYP1c+Cfxez47bfBiN2tWqW/WWW74Zx+evAzU5AzZQoccUTNda+9VrslJTl2VDHyHfTU\nDG67Ldju7bdrv59siUoe7+WX4amn8itD9+7w97+nH35h2jQ47rj0Y0aZ1R7LKN9gKfyZFxtgNUv5\nLVy8OPgdSI68X4xkWR55pOb6tWtrlnnFimD4ibfeSn+c8Hx+Y8dmPt8dd8D++9de/+mn1Q87tGyZ\nX5nDy9k+02eeCbo6M42lla8ePYKg+rzzan9eSV9+WfsJ0eSwGXGYC1Sato0bqx+hbtWqTUH/Tjrp\njDKWXOKsZMM0mFl/YDhwULbtNm6E5s1rr1+7tvoLPFt+TDaZktxTc2oydbNkeyotk0LeTw5U+dpr\nwVAP2YZKSO53xBFB8JMreEm+v3Zt+pa45FOOp56afv/PPoPttqt+PWJE9vOlljPsrbeCOsw2TU9Y\naoBVii6nbMd4//3q5TFjgsmdx4+v+4CZr72W/f10v9eZfheTrVM33pj9mL16pc+nu/766uXUVruP\nPqq9vXv2buaLLw4+p/Dneu21wc9CuqclfpL5PnHullq79j4g+Avn669XZN+4hheYPz9a+U6NoT6a\nipIEWGbWHZgADHL3jN2JAJdcMpr33ksm+1Yk/tU9kIGgNWLWLNh2W+jdu/qGmS1gC98cUm/KK1ZU\nJ9Wne3oxnWw39vBI5OEhKsL7PPZYzYFM873p77BD8PMPfyhuOprUcufbmpcaHEEwv+IHH9QcNiPb\n55LuGIUIB4PlGPIim7lz89+2U6fqz2ny5ODnrFnZ91m5MneX7+DBNV+ny/0yy/4ZhP+ffPst3HNP\n9evUgK2yspLK1OZhia3GcSNvEVpuU8B+W5W6IHXWOOqjacg3wLLEv9pvmH0XuA/4qbvnnPHsF78Y\nze67174ppE57c801qefJr6ADE+n47kGXB9R8giybcMvGF18ECeTJCadTh1zIV/g6k0nsM2fWHAAz\nfG1jxgQjwhd7w8810Gcm7kHXYqtW+W3/1VfB9umCo+TTcJmm6AlbsKDuwzz8M9QpnQzqMuXjNdRA\npxB8DkcdlX2bXMFRqtTyF7o/1GzxGjQo/TadOgVd0x07Bq/D3Zsvvww//Sl06ZK+TBUVFVRUVFS9\n1hNPItIU5TNMwxTgeWAvM3vfzIab2QgzSz5YfxWwHXCLmb1qZi9nPFhCuptZ8lH/4JzBE1T1xSz3\nDXX8+OrgKtexwtavr9nqFJ5M+YUXgp+pQdBXX9V8/eKL6Z+q++Mfc5enWBs3BiOx58MMttwy6FLM\nFgimm08vadGi4Gf37rWHFbj11vzKkc7vf5//tps2VU/vs3p1YcHK88/n3iafJzEb8knAo46qPfRH\n8kGT1Pp5772aXZ7ZnjwN7ztpUtA9mTrwrohIU5OzBcvdh+Z4/wygzlmAuVpsPv88+/ul4l57Ut9M\n3n679mj0//kPtG1bfaxMwteb2oWTqRXqF7/Ir1zZZJp/sNhxsfJtaUutv2zzFj75ZOb3Jk2C4cOr\nX+ca6iCbjRtrDv1w553Vy7NmpZ88OZdXXy1s+9QJrLOpayvbI4/AsccWd77N0nxTpKv7v/89+Aw+\n/hj+9KfCyyjRo5yfaFF9xEeDz0V48snpx04Kf1kfdljt98OTKOczwng24XOlth498kjwWH3qxMbp\nbm577VW3ciSlTjGSb4BXjEyBTXK4h2Ticr7qmj9VqNSn3LINdZBOuMUotYUp3GIzcGBxAU1yyJB8\npUs4z6auuWKZxnRLl4N1zDFBsLT//unPm+73dMGC4h9SkWjSjTxaVB/x0eBT5fzrX+m7RXLdOMI3\nu912K115Up+AKnScpGzCicCpsl1vvoN8FiPdMA1huZ5ag+xdf/nKFrxka02bPr248yXdFhoGN/X3\nsJiJwlOla+kpRK7Pc37a+RTyl2mcuU8+ST+uVrIVKvlH0dix1XWXbA0Nl7kuQ52IiDQmkZmLMNeN\n5ZVX6ud8mf7aruu8hlD8zaY+J8399a+zv59Pq024BTLbGF3FdmmVMshNFQ6o6yOQTTcESV2Ex0or\ndMT+QqxeXftBEwi6TefMqR5s97LL6uf8IiKNTWQCrGJGcK+L5M3/Bz+ouT6Z6JzaCrtsWWnPny0/\nJdld15CSwwLkExSFB4JNHY3/3HNLV6b6MG5c9XJ9PDkYHpoi3WTMhUodzqMcg3r+v//X8OeU6NDc\nd9Gi+oiPBs/Birphw4rbr9CnwQrN1WkodX2qLRwcZpur74IL6t7dV1fhef5KJTx9TupQI3W1YkV5\nAqzkSPTSNCnnJ1pUH/GhACsmGurGmu3pvlKaN6/mWGDlkBzHKZOoTQFT1/HCSiX1c/lnUZNjiYg0\nbpHpIiy1bInSZvD443U7vqYHqbtCRjmX6KiPrlURkcam0QZY22yT+b1162rO1VaMhhwgUiRKgmmu\nys/MOpjZU2a20MwWmNn5ifXbmtksM3vTzB4zs21C+1xuZm+b2RtmdnhofU8zm29mb5nZ+HJcT1Qp\n5ydaVB/x0SS7CEvxF3jUuo9EGsrPf17uElTZAFzs7vPMrDUwx8xmEUw6/4S7/8HMLgUuBy4zsy7A\nEGAfoAPwhJnt6e4O3Aqc7u6zzWymmQ1098fSn7ZpUc5PtKg+4qPRtmBlk2ssqHwk5zwUkfJw95Xu\nPi+xvBZ4gyBwGgwknotlMnBMYvloYKq7b3D3JcDbQB8z2xlo4+7JxzLuDO0jIlKUJhlglUK+E0iL\nSP0zs92A/YEXgZ3cfRUEQRiwY2Kz9sAHod2WJ9a1B8IDsSxLrBMRKZoCLBGJtUT34HTggkRLVmoS\ngNLy60A5P9Gi+oiPJpmDJSKNg5ltRhBc3eXuyamzV5nZTu6+KtH9l5zxcTmwa2j3Dol1mdanNXr0\n6KrliooKKioq6ngV0aacn2hRfdSvyspKKisrS3IsBVgiEme3A4vc/YbQugeBYcBY4DRgRmj93Wb2\nJ4IuwD1Mc2k2AAAgAElEQVSAl93dzexzM+sDzAZOBTLOyhkOsESkcUn9o6kurYUKsEQklszsQOBk\nYIGZvUrQFXgFQWA1zcx+BiwleHIQd19kZtOARcC3wNmJJwgBzgEmAa2Ame7+aENei4g0PgqwRCSW\n3P05INP02odm2Oda4No06+cA3UpXusYj+Re8uqaiQfURHzkDLDObCBwFrHL37hm2uRE4AvgSGJZ8\ndFpEROJNN/JoUX3ERz5PEd4BZBz1ycyOADq5+57ACOAvJSqbiIiISCzlDLDc/VlgdZZNBhMMzIe7\nvwRsY2Y7laZ4IiIiIvFTinGwMg3eJyIiMadxl6JF9REfSnIXEZGMlPMTLaqP+ChFgFXQIH0wOrRc\nkfgnIo1HJVCJhosSkaYs3wDLEv/SeZBgDJl7zOwA4LPkPGDpjS6geCISPxVARVWApe4MEWmK8hmm\nYQrBN2ZbM3sfGAW0BNzdJ7j7TDP7kZm9QzBMw/D6LLCIiDQcjbsULaqP+MgZYLn70Dy2Obc0xRER\nkSjRjTxaVB/xUYqnCEVEREQkRAGWiIiISIkpwBIRkYw07lK0qD7iQ+NgiYhIRsr5iRbVR3yoBUtE\nRESkxBRgiYiIiJSYAiwREclIOT/RovqID+VgiYhIRsr5iRbVR3yoBUtERESkxBRgiYiIiJSYAiwR\nEclIOT/RovqID+VgiYhIRsr5iRbVR3yoBUtERESkxBRgiYiIiJSYAiwREclIOT/RovqID+VgiYhI\nRsr5iRbVR3yoBUtERESkxPIKsMxskJktNrO3zOzSNO9vbWYPmtk8M1tgZsNKXlIRERGRmMgZYJlZ\nM+AmYCCwL3CSmXVO2ewcYKG77w/0B8aZmbofRURiTjk/0aL6iI98gqA+wNvuvhTAzKYCg4HFoW0c\naJNYbgN86u4bSllQERFpeMr5iRbVR3zk00XYHvgg9HpZYl3YTUAXM1sBvAZcUJriiYiIiMRPqbrx\nBgKvuvsAM+sEPG5m3d19be1NR4eWKxL/RKTxqGTrrSsZPbrc5RARKZ98AqzlwHdDrzsk1oUNB64F\ncPd3zew/QGfgldqHG11EMUXys9VW8OWX5S5FU1fBNttUVAVYyheJt2T9qWsqGlQf8ZFPgDUb2MPM\nOgIfAicCJ6VssxQ4FHjOzHYC9gLeK2VB83XJJXDddeU4s0TBM8/A979f7lKINB66kUeL6iM+cuZg\nuftG4FxgFrAQmOrub5jZCDM7M7HZ1cAPzGw+8DjwK3f/b10KduKJxe13/PF1OWvxttiiPOeVmrp3\nL3cJBKB583KXQESkvPLKwXL3R4G9U9b9X2j5Q4I8rJLYYQf4zneK37cczMpz3ii79lq4/PKGPedm\nERwc5Oc/h7/+tdylaFj6/yAiTV0kR3I3A/dged99C9u3Y0c47LDiztunT/7bTp1a8/V22xV3ziio\nr1afnXaqn+PGzX77lff8W29dvfzggw1zzr33zr2NxIPGXYoW1Ud8RDbA2nLLYHnbbQvfNxmcFeql\nl/LfNrUL5Igj8t/3f/4n/21zKUWLXbHdsUnHHw9Dh9ZeP2xY3Y5bChUV5S4B9OpV/O9kXZ12Gtx0\nU7DcokXDBb2//nXDnEfq36hRo5T3EyGqj/iIbICVlHpjKjTgqi8dO9Z8XUiXSLM6fOoXX1zz9amn\n1t5mt92KP34x3OHcc2uua98+Gt1Ev/pVYduXMpduwIDgZ6mCq5dfhgMPLGyfs86qXq7LHx+pOnTI\n/n6cW3RFREqhbAHW448Xt9/YsaUtR7G22abm61atCj/G9OmF73PyyTVfX3NN7W1+/OPCjlkfgdCy\nZcHPXr1Kc7zU6873YYZ8nii88srq5ZYtM2/3gx/kPtaUKcHPe++FJ5/MvX2qtm0zv9e7d+F1dcAB\n1cvZ9p04Mfexwl3J2Y7Vti106ZL7eCIijVnZAqzdd8/8Xvgv7dQv8ii0igC0aVPzdTjPpXPqTI0Z\nHHdc0CpxzDHp3+/du/a6nj1zH7d16/zOnwwm6vrE17BhNeulRYu6HQ/gwguDn337Bj9Hjqz5filb\nMsNl37SpevmWW2CPPYLlAw7IL8A6KTGAyQ9/WFxZFi4sbr9skte3xx6wyy7pt0nmiWXLxwv/jif1\n7QvffFNzXVRamaU0lPMTLaqP+ChbgJUtUCokiAr/hZ40aVLBxSlYphsVwJw52bcLX1/v3pkTglO7\n/+rStZjOsccGP88+O/i588757bfnnsHPZG7PkUfWfH/VqtzHyHYT/u1v4YQTguXDD4fvfje/rq1s\n+Va33po+YM1mxAgYPjxYfuGFwrrnwuXNVfZw61wpcqQOOQSuvrr2wx7PPx98lqWQvKZmzaLzR4/U\nD+X8RIvqIz4imYP1ox9Vf2mff37N9/Jp0WqfOlNiDpddBjfckN+2uVp7brklSNBP3oCSCeTJm/OQ\nIbUDgUw5Z6kJ7O3a1T5fumEJ8r3hJbdL5h398Y+597n88urWmUMPTX/OfFowciX6JwPnLbeEpUtz\nHw+yB4hnnQX775/+vXSf1yWX1A5oBw+u3TVcF926BT+zBeup8gk0jz8+SDKfNavm+mQL1FFHBT+T\nv8sb8pyWPRxgbtwY/FRwJSKSXiQDrM03r76RJHNtkl1yqTeYTDec8DxouVq0rr22diCXyfLUSYIS\nkoFUahde8qaWvBHdc0/uBOFMkscIX3Pz5kFAmuq3v83/eEnhwKhHj/T7/O531cv5tKiNH18zv+eJ\nJ3Lvk08QkS55fdddq5cnToT//Ce/Y6ULcFMfJkhul+/Totke1EhK5n795jdw443V61M/16FDg20g\nezC0++6wbh2ceWbmbcIefjj4mW8X8SGHVC8nu1LNapc3nFgvItJUlS3AateusMFEt9oq9zavvVa9\nPGoU/OQnwfJpp9W+yWXKdbnxxvQBS1LqcZI30lzjdYX3C+f5hD3wQPZzJa8n1U9/WrtM4cTtXJI5\nbwMHVicnp/u8U8uzyy7wve9lP/aBB8LPflb9OnyTLtZuu0GnTrXXhxP+zbI/TfnMM+nXJ68xU2vY\nrbfml2MX/qySuW6pdZL8jLfYIntS+CmnwFVXBcvZAqzttw+OlatV6Uc/qj02V9eumbdPBpXh4/7i\nF8HPffetGWDddVf1e9I4KOcnWlQf8VG2AGvzzTO3LBWTn/Xhh/kPmNmsWXBDS5cMft558L//W3v9\nTTelz/HZfvv8zhmWKUjLlOwOQUvY+PHp3zvxxOpWsVatqhPD0znsMFi7tuZ5ww8UJG+011yTe07H\n1q3hvTrOOJmrO7GQYQXCyfXJhyjC+4d/dw4+uPq9cDfr1VdnP8d3vlMdYL3wAjz1FPzyl0G3W7rx\nxF57rfpJyt/+tmbdhMt20EG1R3u/9NLax/v228xly7e7buRImDev5rrNN8+8/YQJ1cvJPLaDDw5+\n3nxzze1OOSW/Mkh8KOcnWlQf8RHJLsJUlZXVXX7JLrgXXgh+Jm+k6Vocfv/7oEsurF8/WLMmWC7k\n5n3OOfD007X3Cf/1PnRo7ZaIcLdVUr7nzaebKWmvvYKb/1dfVQ/T0KNH7aDzpJNqHuuRR2peQzLA\n+uEP8+82TS1rOplaSPINCgpJGncP6jkfzz4LF10ULLdqFVxzOGhMV77kugMOgP79g0D0oYfg73+v\nvW337jWP8fTTQYD71Vc1t9t8czj99Jrr0s1IcOyx1Tlbo0YF15p6rEzlzUe2bbfeOnjoAKpzsKI4\nNZGISBQ0eIAV7sbJ1EXYoQPsuGP16379qrft0SO4qRxwAHz8cfZcoz33DJLKU9fl092YSbab+913\n1x6+oXPn2vtk6iLMJtd4Tg8/XDsZ/Pnna49O36xZzfKkdodeeWXtx+5Tk+uLSWxOveZ88re23z59\nMnyy/g4/HGbOzH6MXMHYgQdWHy+ZT5Sr27MuttgiOF+rVrk/x/79g6cpw08/jh4NK1bU3C45Blu2\nMbzSSf1s5sxJP5WOWTCuWZ8+1WUu5ndYRKQpafC/P888s3oajX794Oija36p//e/wV/K7rmnWtl+\n+9x/vYetXl09BQ+U5gmovffOPCzBI4+kH0Yin5vTI4/AF19Uv/7zn2u+nzqA5xZb1B6FPDz4aYsW\nQZderkDNrLqrLfn5ZErsT90PYNq09O+n6xZ1z97F+vHHtde9/XZ1QPTYY7nLlamLMApyBX/NmtWe\n8zLT/vPnZ542Kd+nFJOtw9ttF/w/TGrRouYfPFDdghWmuScbp2S+j7qlokH1ER9lb+CfMSMIepKB\nUjgnp5DH1/OR2mLWpUv64KhLl6C7Lzkqd1jqTXHUqMyJ2+HWofB+p55au6UrVdu2QevXvvsG3Zyp\nSfTPPpt9/7ArrgiCr2SSdTFdpLl07x50yWYaYT1T3lk66UbFT+6fHPiznKISqIU/0+SQD+kMGFAz\nWE/KdB2fflr93nvv1Q6ukucbNKj69erVpR3CQqJDN/JoUX3ER9kDLMjvhvXDH9bu7qurp59O35rU\npk3Q3TdlSnCzX7+++r3UQCHdzSeXbbet+WRduut3D/LLXn89/TGyJSWnSp1OJ9/Aqnnz/B/h33zz\n9EnZSf/4R/oWqdRr32qr9Llfucqcz9Q5uX7PsuVbFeLhh4v7vahP+Y7uH9auXe3u0uTvXdu28M9/\nVq8v5IlgEZGmoMFzsNLdKMeNy73fLrvUTlivqy23zH3jmTkTXnml+nVq+du2zS9gKfUo7KWQTxdV\nvoNQ5rL33sGTcqlSE8MHDiwseCxEseOPFerII/MLzOragljKFsh8j3/xxTB7dv2eV0SkMcirBcvM\nBgHjCQKyie5ea8plM6sA/gS0AD529/75FuKss4IxoFJHno6C730v+3hK+bYM/P3vwVAS6TR0t1e6\nOeUKMXJk5nyfQh16aDAp8oIFQStUsWXLFGyE1196aRAwL15ce7u9904/ZES6QGno0NIFnuVUTIC2\n5Zalm8Bb4kE5P9Gi+oiPnAGWmTUDbgIOAVYAs81shrsvDm2zDXAzcLi7LzezgkeHSs49F3U77RRM\n0gyF3aA6dMjcgjJsWPUkwQ0hOSJ5Pt1q6fTsmd+k0/kaMCD4l00pWms22yzoFk43ltSrr+bfRXjc\ncdW/A3Wx3XbF79ulS+7PrK7qu4VM4kE38mhRfcRHPi1YfYC33X0pgJlNBQYD4XaAocB97r4cwN0/\nyXSwTF/aP/tZzbykfBWTW1IXLVvC9OmlPaZZ+sTu+pRreIP61lA379TztGyZfjiD1Ccwk845J/eT\nl8U68MD0eWn5yDQTgYiIREM+AVZ74IPQ62UEQVfYXkALM3saaA3c6O53pTtYqW+s225bvzfrcj0x\nptaDmrJ9HiNGZJ5GqK622qo00/tkkm6YiltvLX8XZPPmGnZBRKQuSvUU4WZAT2AAsBXwgpm94O7v\nlOj4ZZNrKhcpv7/8JfN7cQxU852suT4tW1b4wKXSOCnnJ1pUH/GRT4C1HPhu6HWHxLqwZcAn7r4e\nWG9mzwD7AbUCrJtuGk23bsGI1BUVFVSkm+AvIsp5c45jYFCf9Hk0rEyTXeejsrKSysrKkpVFyqvU\nN/I//OEG5s3LMP5MFkuWvIN7+5KWJY4UWMWHeY47l5k1B94kSHL/EHgZOMnd3wht0xn4MzAI2Bx4\nCTjB3RelHMtznU+CbsnnnoMf/KDcJakfZsF8iemmZcnkqaeCrrpCf33WrAkGwNSvXW2ffgrnnpt+\nDsVSMjPcPSLDs9aNvsPqrk2bHVi79nIgx2jLaQ0AOhV55uSvYCH19yJbbXUkBx5Y+BMlLVo059Zb\nr2PXdBPSSmzU5fsrZwuWu280s3OBWVQP0/CGmY0I3vYJ7r7YzB4D5gMbgQmpwZUURt/hNRX7eSSn\nXZLa2rat/+CqPpnZROAoYJW7d0+sGwWcAXyU2OwKd3808d7lwM+ADcAF7j4rsb4nMAloBcx09wsb\n8jqapp8CJRrrpV715csvJzNrVgFzsiVsscU4XnzxRQVYTVheOViJL6i9U9b9X8rr64HrS1c0acyi\nMt2MxNodBC3nd6as/6O7/zG8wsz2AYYA+xCkOTxhZnsmmqNuBU5399lmNtPMBrp7HjNdNg1NO+fH\nCGL4wm22WYaJWeuoaddHvERiqhwRkUK5+7Nm1jHNW+nC98HAVHffACwxs7eBPma2FGjj7snx6e8E\njgEUYCXoRh4tqo/4iOAELnLLLRotO5W6+aQA55rZPDP7a2IQZKg93MzyxLr2BA/pJC1LrBMRqRMF\nWBE0cmT9zccXVwqwJE+3ALu7+/7ASiCPmU5FREpPXYQi0mi4e3hs/NuAhxLLy4FwtnFyuJlM6zMa\nPXp01XLUh5opBeX8RIvqo36VcpiZnMM0lJIecRYIEtyPPhpmzMh/n6+/hilTYPjw+iuX1I/6HKbB\nzHYDHnL3bonXO7v7ysTyRUBvdx9qZl2Au4G+BF2AjwN7urub2YvA+cBs4BGCmSgezXA+fYfVUTBM\nwyIa/inCYoZpKF6bNsczceIQji920leJhHodpkEkCjbfXMGV1GRmU4AKoK2ZvQ+MAvqb2f7AJmAJ\nMALA3ReZ2TRgEfAtcHYoUjqHmsM0pA2uREQKoQBLykI5ZlJX7j40zeo7smx/LXBtmvVzgG4lLJqI\niAIsaXivvQYdOpS7FCKSD+X8RIvqIz6UgyUi9UpT5UiYcrAkTury/aVhGkRERERKTAGWiIiISIkp\nwBIRkYzGjBlTlfcj5af6iA8luYuISEZKpo4W1Ud8qAVLREREpMQUYImIiIiUmAIsERHJSDk/0aL6\niI+8crDMbBAwniAgm+juYzNs1xt4HjjB3e8vWSlFRKQslPMTLaqP+MjZgmVmzYCbgIHAvsBJZtY5\nw3a/Bx4rdSGjqFSzbUdBY7mWxnId0LiuRUSkKcqni7AP8La7L3X3b4GpwOA0250HTAc+KmH5Iqsx\n3QAby7U0luuAxnUtIiJNUT4BVnvgg9DrZYl1VcysHXCMu99K9XwEIiISc8r5iRbVR3yUahys8cCl\nodcKskSkYGZ2AjDd3TeWuywSUM5PtKg+4iPnZM9mdgAw2t0HJV5fBng40d3M3ksuAtsDXwJnuvuD\nKcfSLKkiTVC+k6Wa2bHAccAbwAR3/7heC1YgTfZcd5rsWeKkLpM959OCNRvYw8w6Ah8CJwInhTdw\n991DhbkDeCg1uEpsp5YtEcnI3R8wswXAOKC3mb3q7uoPEZHYyRlguftGMzsXmEX1MA1vmNmI4G2f\nkLpLPZRTRJoAM5sEvEfQAr7KzC4qc5GavGS+j7qmokH1ER85uwhFRBqKmX3X3d9PLG/v7p+Uu0xh\n6iKsO3URSpzUpYuwwUZyN7NBZrbYzN4ys0tz79GwzKyDmT1lZgvNbIGZnZ9Yv62ZzTKzN83sMTPb\nJrTP5Wb2tpm9YWaHh9b3NLP5iWsdX6braWZmc83swZhfxzZmdm+ibAvNrG+Mr+UiM3s9UY67zaxl\nXK7FzCaa2Sozmx9aV7KyJz6LqcBrZvaCmX0X+GVDXJuISH1okAAr38FKy2wDcLG77wv8D3BOooyX\nAU+4+97AU8DlAGbWBRgC7AMcAdxiZsko91bgdHffC9jLzAY27KUAcAGwKPQ6rtdxAzDT3fcB9gMW\nE8NrsWAok/OAnu7enaB7/qQYXcsdBP9/w0pZ9tOB/wIPEDyV/Adgu/q7HBGR+tVQLVj5DlZaNu6+\n0t3nJZbXEjzF1IGgnJMTm00GjkksHw1MdfcN7r4EeBvoY2Y7A23cfXZiuztD+zQIM+sA/Aj4a2h1\nHK9ja+Bgd78DIFHGz4nhtSQ0B7Yys82ALYDlxORa3P1ZYHXK6lKWPXmsqQTB2bHAffVwKVIgjbsU\nLaqP+CjVOFi5pBustE8DnbtgZrYbsD/wIrCTu6+CIAgzsx0Tm7UHXgjttjyxbgPB9SXVGpi1AfwJ\nuATYJrQujtfxPeATC55M3Q94BbiQGF6Lu68ws3HA+8A6YJa7P2FmsbuWkB1LWPb2wAfu/lKiG7In\nsKI+Cy/5UTJ1tKg+4qPBcrDiwsxaE0z5c0GiJSs1IzLSGa5mdiSwKtEaly0xL9LXkbAZwY32Znfv\nSTC+2mXErE4AzOw7BK00HYF2BC1ZJxPDa8mizmU3s9uBXxD8cTC8ziUSESmThgqwlgPfDb3ukFgX\nKYmum+nAXe4+I7F6lZntlHh/Z6rnWlwO7BraPXlNmdY3lAOBoy0Y/PXvwAAzuwtYGbPrgKCF4wN3\nfyXx+j6CgCtudQJwKPCeu/83MUr5A8APiOe1JJWy7Mn3XicIoje4+8X1V3QRkfrVUAFW1WClZtaS\nYLDSWgORRsDtwCJ3vyG07kFgWGL5NGBGaP2JiaefvgfsAbzs7iuBz82sTyKx99TQPvXO3a9w9+8m\nBn89EXjK3X8KPBSn60hcyyrgAzPbK7HqEGAhMauThPeBA8ysVaIMhxA8hBCnazFqtoqWsuwPJo4x\nGJgJfGpmf6jPi5H8KOcnWlQfMeLuDfIPGAS8SZDwellDnbeA8h0IbATmAa8CcxNl3g54IlH2WcB3\nQvtcDrxDkBB/eGj994EFiWu9oYzX1A94MLEcy+sgyL2anaiX+wm6juJ6LaMS5ZpPkNDdIi7XAkwh\nyIn6miBYHA5sW6qyA5sD04D/JP7vHQh0LEc95fgcXOqmdevtHT5y8Ab+R+Jfw5yvTZv/59OmTSv3\nxy11lPg/X9T3hQYaFZHIMLMLgK7ufoaZXeXuvy13mcJMA43WmQYalTixOAw0KiKSh05UP3HcppwF\nERGpCwVYIhIlDmxhZl0JnraUMlPOT7SoPuJDXYQiEhmJKXLOJujPucndP8ixS4NSF2HdqYtQ4kRd\nhCLSWPQnSIxflFgWEYklBVgiEiUrE/++AA4uc1lERIrWUFPliIjk5O6PJZfNbO9ylkUCyXwfTdES\nDaqP+FCAJSKRYWb3EiTJbCIYL0zKTDfyaFF9xIcCLBGJDHdXRrCINAoKsEQkMszsBWA9ieEaCOai\nHFLeUomIFE5J7iISJU+4e393HwA8qeCq/DTuUrSoPuJDLVgiEiV7mFny6cHdy1oSAZTzEzWqj/hQ\ngCUiUXI+cAJBF+H5ZS6LiEjR1EUoIlFyONDR3W8mCLRERGJJAZaIRMn/EAwyCrBbGcshCcr5iRbV\nR3yoi1BEomQDgJltA+xc5rIIyvmJGtVHfKgFS0SiZBKwB/AX4I/lLYqISPHUgiUikWBmBvzQ3U8t\nd1lEROpKAZaIRIK7u5n1NrOTgM8T62aWuVhNnua+ixbVR3w0aIBlZt6Q5xORaHB3y7WNmR0NPAFs\nD7Ss90JJXnQjjxbVR3w0eA6WuzeKf6NGjSp7GXQtjfM6Gtu1FGCQu08G9nH3yYllEZFYUpK7iERF\nRzP7UfJnYllEJJaUgyUiUTEN2CH0UyJAOT/RovqIDwVYRaqoqCh3EUqmsVxLY7kOaFzXki91CUaT\nbuTRovqID3URFqkx3QAby7U0luuAxnUtIiJNkQIsERERkRLLGWCZ2UQzW2Vm87Nsc6OZvW1m88xs\n/9IWUUREykVz30WL6iM+8snBugP4M3BnujfN7Aigk7vvaWZ9Caa4OKB0RRQRkXJRzk+0qD7iI2cL\nlrs/C6zOsslgEsGXu78EbGNmO5WmeCIiIiLxU4ocrPbAB6HXyxPrRERERJokJbmLiEhGyvmJFtVH\nfJRiHKzlwK6h1x0S69IaPXp01XJFRYUeRxdpZCorK6msrCx3MaRElPMTLaqP+LB85gozs92Ah9y9\nW5r3fgSc4+5HmtkBwHh3T5vkbmZe4NxkIhJzZobnMdlzEcedCBwFrHL37ol12wL3AB2BJcAQd/88\n8d7lwM+ADcAF7j4rsb4nMAloBcx09wuznFPfYXXUps0OrF27iIYfrD/5K9gw9demzfFMnDiE448/\nvkHOJ/WjLt9f+QzTMAV4HtjLzN43s+FmNsLMzgRw95nAf8zsHeD/gLOLKYiISIHuAAamrLsMeMLd\n9waeAi4HMLMuwBBgH+AI4BYzS35p3gqc7u57EXzPpR5TRKRgObsI3X1oHtucW5riiIjkx92fNbOO\nKasHA/0Sy5OBSoKg62hgqrtvAJaY2dtAHzNbCrRx99mJfe4EjgEeq+/yx4XmvosW1Ud8RGouwsmT\nJ/Pll19y9tnpG8Fuu+02zjjjjAYulYjEyI7uvgrA3Vea2Y6J9e2BF0LbJZ923gAsC61fhp6CrkE3\n8mhRfcRHrJ4inDBhQrmLUK9SczuU6yFSZ/pPJCJlEakWrLCTTz6ZFStWsHHjRqZMmcIrr7zCm2++\nyYABAzjzzDPp27cvI0eO5JtvvqFHjx6MGzeu1jGWLl3K0KFD2XXXXVm4cCFXXXUVd911F8uWLWP6\n9Ol06tSJyZMnM3HiRDZt2sTVV19NRUUF119/PY888ghffPEFY8eO5ZBDDmH48OG0atWKd999l9at\nW3P//ffXONff/vY3Jk6cyBdffMFFF13EySefzCeffMLw4cNZu3YtHTp04K677mLq1KmMHz+eZs2a\nMWbMGA477DD69+9Pnz59mDdvHldccQXjxo2jRYsW/PjHP2bYsGEN9ImLNAqrzGwnd19lZjsDHyXW\nZ3rauaCnoEFPQos0ZiV9CtrdG+xfcLrMJk2a5DfffLO7u3/11Vfu7v7AAw/4lVde6e7uvXv3rtp2\nyJAh/t5777m7+8iRI33OnDm1jrdkyRLv0qWLu7vPmjXLe/Xq5e7uM2bM8FGjRvmnn37qgwYNcnf3\nL7/80isqKmqc+6OPPvJ+/fq5u/uwYcP8rrvucnf3E0880RcsWFDjXMl9vvrqK+/Zs6e7u1988cV+\n//33V22zceNG32+//fybb77xNWvWVJWnoqLCn3rqKXd3r6ysrDqnSGOQ+H9fX98puwELQq/HApcm\nli8Ffp9Y7gK8CrQEvge8Q/VT1C8CfQgeM5sJDMpyvvr+uCJn9OjRPnr06JIdr3Xr7R0+cvAG/kfi\nX+qJ/P8AABk3SURBVMOcr02b/+fTpk0r2eeWVOr6kOzq8v0VyRasTZs2cckll7BgwQLWrVtHt27B\n6BDBtQYWL17M6aefjruzdu1aBg0aRM+ePWsdq0uXLgC0a9eOrl27AtC+fXuefPJJ3n33XRYuXMiA\nAQNwdz799FMgyAWbMmUKzZo1Y+XKlVXH6tGjBwAdOnRg9eqaswf985//5MYbb8TdeffddwF44403\n+PWvf121zccff0zHjh1p0aIFLVq0oGXLlmzcuBGA3r17V23Xq1evIj85kaYj8YRzBdDWzN4HRgG/\nB+41s58BSwmeHMTdF5nZNGAR8C1wtld/oZxDzWEaHm3I64g65fxEi+ojPiIZYM2bN4/PPvuMyspK\n7r//fh5++GEgGI8iqXPnzlx//fXsumvQur9p06acxw3v7+7svvvu7Lfffjz00EMAVcHOTTfdxPz5\n8/n44485+OCDM+4fds011/Dvf/8bgE6dOgFBcPevf/2LY489Fndnhx12YOnSpXzzzTesX7+eb775\nhubNmwPQrFl1Olx4WUTS88xPOB+aYftrgWvTrJ8D1BrjT0SkLiIZYHXu3JmlS5cycOBAOnfuXLW+\nf//+HHvssQwfPpyxY8cyYsQI1q9fz2abbcbtt99Ohw4dah0rHBSlatu2LSeccAL9+vWjefPmdO/e\nnfHjx3PQQQdx0EEH0bdvX9q0aVPrOOmOedxxx3HwwQfTo0cPtt12WwAuu+wyhg0bxo033liVg3Xp\npZdy8MEH07x5c6655pqcZRQREZH4yWsk95KdTKMgizQ59TWSezk0xe+wUo+7pJHc60bjYDWsunx/\nRbIFqxhvvfUWI0aMSH4YmBl33303u+yyS7mLJiISW7qRR4vqIz4aTYC111578fTTT5e7GCIiIiLx\nGmhUREREJA4UYImISEZjxoypyvuR8lN9xEej6SIUEZHSU85PtKg+4kMBloiISIm5w4QJd/DEE88W\nvG/PnvsxYsTP6qFU0pA0TIOI1CsN0yBhTWWYBlgIPFHEfp/xne/cxurVy0pdICmChmkQEZF6oXGX\nirVv4l+hlgG3ZXxX9REfasESkXqlFiwJazotWMVaxne+c4BasCKiLt9feT1FaGaDzGyxmb1lZpem\neX9rM3vQzOaZ2QIzG1ZMYUREREQag5wBlpk1A24CBhK0d55kZp1TNjsHWOju+wP9gXFmpu5HERER\naZLyacHqA7zt7kvd/VtgKjA4ZRsH2iSW2wCfuvuG0hVTRETKQeMuRYvqIz5y5mCZ2XHAQHc/M/H6\nFKCPu58f2qY18CDQGWgNnODu/0xzLOUviDQxysGSMOVg5aIcrCip9xysPAwEXnX3dkAP4OZE0CUi\nIiLS5OSTJ7Uc+G7odYfEurDhwLUA7v6umf2HoDXrldSDjR49umq5oqKCioqKggosItFWWVlJZWVl\nuYshIlJW+XQRNgfeBA4BPgReBk5y9zdC29wMfOTuY8xsJ4LAaj93/2/KsdS8LtLEqIsw3ko97pK6\nCHPJ3kWocbAaVl2+v/IaB8vMBgE3EHQpTnT335vZCMDdfYKZ7QJMAnZJ7HKtu/89zXGa3JeTSFOn\nAEvCFGDlohysKKn3kdzd/VFg75R1/xda/pAgD0tERESkyStVkruIiIiIJCjAEhGRjDTuUrSoPuJD\ncxGKSL1SDpaEKQcrF+VgRUkUxsESERERkQQFWCIiIiIlpgBLREQyUs5PtKg+4kM5WCJSr5SDJWHK\nwcpFOVhRohwsERERkQhRgCUiIiJSYgqwREQkI+X8RIvqIz6UgyUi9Uo5WBKmHKxclIMVJcrBEhER\nEYkQBVgiIiIiJbZZuQsgIiLRlcz3GTVqVNW6F154gYsvHkMxvaVfffUF0LxEpWt60tWHRJNysESk\nXikHq/G55ppruOqqBbgPK2LvtkDvEpcoH8rBksLV5ftLLVgiIlKETsCgchdCJLLyysEys0FmttjM\n3jKzSzNsU2Fmr5rZ62b2dGmLKSIiIhIfOVuwzKwZcBNwCLACmG1mM9x9cWibbYCbgcPdfbmZbV9f\nBRYRkYajnJ9oUX3ERz5dhH2At919KYCZTQUGA4tD2wwF7nP35QDu/kmpCyoiIg1PN/JoUX3ERz5d\nhO2BD0KvlyXWhe0FbGdmT5vZbDP7aakKKCIiIhI3pUpy3wzoCQwAtgJeMLMX3P2dEh1fREREJDby\nCbCWA98Nve6QWBe2DPjE3dcD683sGWA/oFaANXr06KrliooKKioqCiuxiERaZWUllZWV5S6GlIhy\nfqJF9REfOcfBMrPmwJsESe4fAi8DJ7n7G6FtOgN/Jnhmd3PgJeAEd1+UciyNISPSxGgcrMYnGAdr\nHe7XlLsoBdA4WFK4eh0Hy903mtm5wCyCnK2J7v6GmY0I3vYJ7r7YzB4D5gMbgQmpwZWIiIhIU5FX\nDpa7PwrsnbLu/1JeXw9cX7qiiYiIiMSTJnsWEZGMxowZU5X3I+Wn+ogPTZUjIiIZKZk6WlQf8aEW\nLBEREZESU4AlIiIiUmIKsEREJCPl/ESL6iM+lIMlIiIZKecnWlQf8aEWLBEREZESU4AlIiIiUmIK\nsEREJCPl/ESL6iM+lIMlIiIZKecnWlQf8aEWLBEREZESU4AlIiIiUmIKsEREJCPl/ESL6iM+lIMl\nIo2OmS0BPgc2Ad+6ex8z2xa4B+gILAGGuPvnie0vB34GbAAucPdZ5Sh3FCnnJ1pUH/GhFiwRaYw2\nARXu3sPd+yTWXQY84e57A08BlwOYWRdgCLAPcARwi5lZGcosIo2IAiwRaYyM2t9vg4HJieXJwDGJ\n5aOBqe6+wd2XAG8DfRARqQMFWCLSGDnwuJnNNrOfJ9bt5O6rANx9JbBjYn174IPQvssT6wTl/ESN\n6iM+8srBMrNBwHiCgGyiu4/NsF1v4HngBHe/v2SlFBEpzIHu/qGZ7QDMMrM3CYKusNTXkoZyfqJF\n9REfOQMsM2sG3AQcAqwAZpvZDHdfnGa73wOP1UdBRUTy5e4fJn5+bGb/IOjyW2VmO7n7KjPbGfgo\nsflyYNfQ7h0S69IaPXp01XJFRQUVFRWlLbyIlE1lZSWVlZUlOVY+LVh9gLfdfSmAmU0lyGVYnLLd\necB0oHdJSiYiUgQz2xJo5u5rzWwr4HBgDPAgMAwYC5wGzEjs8iBwt5n9iaBrcA/g5UzHDwdYItK4\npP7RVJfu2HwCrNT8hGWkJICaWTvgGHfvb2ZKDhWRctoJeMDMnOA77m53n2VmrwDTzOxnwFKCJwdx\n90VmNg1YBHwLnO3u6j5MSN5g/n979x5jR3necfz7sxcLMLdSxM2OHahL3SQQg7gpoe1GTopNVYjS\nizCBJkZJiCpKlEjFJBLyRgJBpDRQ4lzqlJI0pSGJUcVySeOmsFT+w4W2Nk6DF8wdG2ywQ0EGDGv7\n6R8zB4bDuczZnZ0zs/v7SCOfmZ0553nnnfP6Oe+85z2+NVUNro/6KGoerBuBFZn1tl9xdve62dRW\nZBf7eETEk8CiFtt/DXy0zTHXAddNcmi15P/Iq8X1UR95EqxtwLzMeqvxCacDt6VzxxwFLJU0FhHD\nzU/m7nWzqa3ILnYzs7rKk2A9CCyQNB94HrgQWJbdISJObDyWdAtwZ6vkyszMzGw66JpgRcQ+SZcD\na3l7mobNki5L/hyrmw+ZhDjNzKwPPOanWlwf9aEyx3JK8thRs2lGEhExJX56xm1Y4tprr+Xqq18j\n4tp+h9KDxiVY9frbyhFHnM1LL23tdyDGxNovz+RuZmZmVjAnWGZmZmYFc4JlZmZt+bfvqsX1UR9F\nzYNlZmZTkAdTV4vroz7cg2VmZmZWMCdYZmZmZgVzgmVmZm15zE+1uD7qw2OwzMysLY/5KdsAu3fv\n4qyzzu241z33vPvvEnzzm9dwxhlnTFZw1gMnWGZmZpVxLHv33s8DD7zU85EzZ67m/vvvd4JVEU6w\nzMzMKuXMcR0l/VvBcdhEeAyWmZm15TE/1TI09FWGhlwfdeAeLDMza8tjsKplaMj1URfuwTIzMzMr\nmBMsMzMzs4I5wTIzs7Y8BqtaPAarPjwGy8zM2vIYrGrxGKz6yNWDJWmJpFFJj0pa0eLvF0l6KF3W\nSTq5+FDNzMzM6qFrgiVpBrAKOBd4P7BM0sKm3Z4Afj8iPghcA3yv6EDNzMzM6iJPD9aZwJaIeDoi\nxoDbgAuyO0TE+oh4OV1dD8wpNkwzM+sHj8GqFo/Bqo88Y7DmAM9m1rfSeZrZzwA/m0hQZmZWDR6D\nVS0eg1UfhQ5yl/QRYDlwTpHPa2ZmZlYneRKsbcC8zPrcdNs7SDoFWA0siYi2v1I5NDT01uPBwUEG\nBwdzhmpmdTAyMsLIyEi/wzAz66s8CdaDwAJJ84HngQuBZdkdJM0DbgcuiYjHOz1ZNsEys6mn+YOT\nx+/UW6P+fKuwGhrjr3yrsPq6JlgRsU/S5cBakkHxN0fEZkmXJX+O1cDVwJHAtyUJGIuI8f0cuJmZ\nVYYTq2pxYlUfucZgRcS/Ar/TtO3vMo8/C3y22NDMzMzM6sk/lWNmZmZWMCdYZmbWlufBqhbPg1Uf\n/i1CM7NpanR0lJ07d3bcZ/HixQCsW7furW1PPfUUcPQkRmbteAxWfTjBMjObhl5//XVOPnkRs2ef\nPq7jI/6s4IjMphYnWGZm09D+/fuBmbz88rqu+5pZ7zwGy8zM2vKYn2pxfdSHe7DMzKwtj/mpFtdH\nfbgHy8zMzKxgTrDMzMzMCuYEy8zM2vKYn2pxfdSHx2CZmVlbHvNTLa6P+nAPlpmZmVnB+pZgDQ0N\n9eulzczMzCZV3xIs/7aVmVn1ecxPtbg+6sNjsMzMrC2P+akW10d9eAyWmZmZWcFyJViSlkgalfSo\npBVt9rlJ0hZJGyUtKjZMMzMz62T//vdw5ZUrGBiY1fMyZ86C9PcprShdEyxJM4BVwLnA+4FlkhY2\n7bMU+K2I+G3gMuC7kxBr35U9MN9fBDCzfvOYn2rpVB/7919BxOvs27e75+X55590glUwRUTnHaSz\ngZURsTRdvwqIiPhaZp/vAvdFxI/T9c3AYETsaHquaLyeJLq9dtWUHXMdz5FZs/Q6Vr/jKEK2Dau7\nV199lSOOOJq9e1/tdyglaVyCU6P+iiYN8OabexgY8NDsrIm0X3luEc4Bns2sb023ddpnW4t9Wsrb\nS1NUb05de4XqGndDt/irUL4qxNBQpVjMzGwcIqLjAvwJsDqzfjFwU9M+dwIfyqz/AjitxXNFQ+Nx\ndlsnefebjOdZuXLlu45tbOt2zES0Ol/Z5231Gnm35f17t9fLq9t5L6p+82pVlrwxTOQ85K2fiVyn\nRW0rSlqWrm1NHZayr9PJtHv37hgYODggpslCuvQ7jmou0swYGxvr92VZORNpv/LeIhyKiCXpep5b\nhKPAH0SLW4SwMrNlMF3MbOoYSZeGrxK+RVg5eW8RNsb71H96gKlxi3Cy6sO3CFub0BCHbhkYMBN4\nDJgPzAI2Ar/btM95wN3p47OB9W2eK0+mWJgyepm6PV/eHqBs2Ys+D+1ep1lRvVXdtOoRbMhu69Rz\nmI2v8fdW21q9brdt7eLpdb/x1GOnGIvq6eqm07nrdg471MW4PgFWbZnM92bZ3IPlJbu4B6u1ibRf\n+XaCJcAjwBbgqnTbZcDnMvusShOxh2hxezDdp2NBJvM/9aprlURMhiqd46JuXxWV3LSS93yVfdut\noawEK68OSeC4GqiqLU6w6rw4weq0OMFqbSLtV9dbhEWaSt3rRRsaGvLA5nFqde6myzcwJ6OcRV+L\n/hZhNflbhJblW4StTaT9coJlU9J0SVjrUE4nWNXkMVj15DFY5XKCZWaV5QSrmtyDZVlOsFqbSPvl\nM2lmZmZs2LBhXAnWwoULOeiggyYhonpzD5aZTSr3YFWTe7As65BD/pQZMx7v+bg333yRz3/+Ym64\n4fpJiKr/3INlZjZBkpYAN5L8wsXNkZnrr8rWrLmDr3/9Oz0ft2/fXqRZXfebOmOwpobJqo/du9eM\n88hVvPLKaKGxTBXuwRqnkZERBgcH+x1GIaZKWaZKOWBqlaUOPVjpj9o/CiwGngMeBC6MiNGm/SrX\nhl188ee49dYDSaYjbNgEnJLj6LnAByYlrnxGKG+y6Yn0YI1Qn0mxRyg31lVceukoN9+8qqej6tLG\nuQerD+pyceQxVcoyVcoBU6ssNXEmsCUingaQdBtwAVCTj+YfIJmusGF903pVjVCPxGWEesQJ5cd6\nAHfddSfnnPNkT0c988yjnHrqmfzoR9/j4IMPnqTY+ssJlplZ6x+1P7PMAHbt2sUbb7zR83GvvTZd\nxlBZNS3nhRfm8sILvR53Ky++eC/Dw8PMnTu351dduHAhRx11VM/HlckJlplZn23fvp3jjjtu3MfP\nnHk3s2ff+db6nj2PcOCB/11EaHzpS6cD8I1v/Fchz5dVZJzdvPJK8u9hh/1xz8eWGWc33eqjSrF2\nsmfPI+zZs51ly5aN6/iPfex81q69o+CoilX6GKzSXszMKqMGY7C6/qh9ut1tmNk0U4uJRs3MqkjS\nTJLfW10MPA88ACyLiM19DczMasu3CM1s2ouIfZIuB9by9jQNTq7MbNzcg2VmZmZWsBllvZCkJZJG\nJT0qaUVZrztRkuZKulfSryT9UtIV6fbfkLRW0iOSfi7p8H7HmpekGZL+R9Jwul7Lskg6XNJPJW1O\n6+esOpZF0hcl/a+kTZJulTSrLuWQdLOkHZI2Zba1jV3SlyVtSevsD/sTdWd52ypJZ0gak/SJMuPL\nvH7XOCUNStqQXl/3lR1jJo6OsUo6TNKwpI1pO/vpPoTZ8npusc9N6TW8UdKiMuPLxNAxTkkXSXoo\nXdZJOrnsGNM4up7PdL9+v5fy1Hvv76WImPSFJJF7DJgPHABsBBaW8doFxH4ssCh9fAjJOI2FwNeA\nK9PtK4Dr+x1rD2X6IvBPwHC6XsuyAN8HlqePB4DD61YW4HjgCWBWuv5j4FN1KQdwDrAI2JTZ1jJ2\n4H3AhrSu3pu2Cep3GZrKk6utSvf7d+Au4BNVjDN9P/wKmJOuH1XVcwp8GbiuESewCxjoQ6zvup6b\n/r4UuDt9fBawvk/ntFucZwOHp4+XVDXOzPXRt/dSzvM5rvdSWT1Yb03iFxFjQGMSv8qLiO0RsTF9\nvBvYTDL98QXAD9LdfgB8vD8R9kbSXJIpn/8+s7l2ZZF0GPB7EXELQETsjYiXqWFZgJnAbEkDwEHA\nNmpSjohYB7zUtLld7OcDt6V19RSwhZLnmsohb1v1V8AaoOfZfwqSJ86LgNsjYhtAROwsOcaGPLEG\ncGj6+FBgV0TsLTHGJIjW13PWBcA/pvv+J3C4pGPKiC2rW5wRsT5tDyGZdXZOKYG9O45u5xP6/17K\nE+e43ktlJVitJvHrS4VPhKT3kmS564FjImIHJEkYcHT/IuvJDcBf887fi6hjWU4Adkq6Jb3duVrS\nwdSsLBHxHPA3wDMkidXLEfELalaOJke3ib25HdhG9dqBrm2VpOOBj0fEd3j791fKlqdNPQk4UtJ9\nkh6UdElp0b1TnlhXAe+T9BzwEPCFkmLrVR2u4WafAX7W7yBaqch7KY9xvZdKG4NVd5IOIcmyv5D2\nZDV/O6Dy3xaQ9EfAjrRHrtPFXPmykNxmOg34VkScBrwKXEXN6kXSESSfiueT3C6cLemT1KwcXdQ5\n9lZuJLn12VDV/xga75GlJLeJrpa0oL8htXUusCEijgdOBb6Vtrk2AZI+AiznnddrlUzp91JZ0zRs\nA+Zl1uem22ohvXWzBvhhRDSmjt0h6ZiI2CHpWPrYvdmDDwPnSzqP5FbUoZJ+CGyvYVm2As9GRGM6\n49tJEqy61ctHgSci4tcAkv4F+BD1K0dWu9i3Ae/J7FfFdiBPW3U6cJskkYwXWippLCKGS4oR8sW5\nFdgZEXuAPZL+A/ggyXioMuWJdTlwHUBEPC7pSZKxrsVPHz8xdbiGAZB0CrAaWBIR3W7T9UsV3kt5\njOu9VFYP1oPAAknzJc0CLgSqdgI7+Qfg4Yj428y2YeDT6eNPAdWesx+IiK9ExLyIOJGkDu6NiEuA\nO6lfWXYAz0o6Kd20mGQQYt3q5RngbEkHpo3MYuBh6lUO8c5Pnu1iHwYuTL8leQKwgGRCzyrp2lZF\nxInpcgLJB6+/7MN/CHna1DuAcyTNTG+fn0UyhrRseWJ9muTDBumYppNIvvzRD83Xc9Yw8Bfw1uz/\n/9e4Hd4HbeOUNI/kQ+clEfF4qVG1CIc2cVbkvdTQqd7H9V4qpQcrajyJn6QPA58EfilpA8ntjq+Q\nfFPqJ5IuJWkc/rx/UU7Y9dSzLFcAt0o6gKQxXk4yYLw2ZYmIByStIfl23Vj672qSgb6VL4ekfwYG\ngd+U9AywkuR6+mlz7BHxsKSfkCSQYySNaaVuH7ZrqyRdlvw5VjcfUnqQ5IszIkYl/RzYBOwDVkfE\nw1WMFbgG+H7ma/JXNnp1y9Tmep7F2+f0HknnSXqMZFjC8rJjzBMncDVwJPDt9IPbWESU/oWSHHFm\n9a0tyFHv43oveaJRMzMzs4J5kLuZmZlZwZxgmZmZmRXMCZaZmZlZwZxgmZmZmRXMCZaZmZlZwZxg\nmZmZmRXMCZaZmZlZwZxgmZmZmRXs/wH0/a8SK19yBAAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from pymc.Matplot import plot\n",
"plot(M)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## emcee\n",
"\n",
"pip install emcee"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"'/home/marioaieie/.miniconda3/envs/hackinghour/lib/python3.5/site-packages/emcee/__init__.py'"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import emcee\n",
"emcee.__file__"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%load https://raw.githubusercontent.com/dfm/emcee/master/examples/line.py"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAeMAAAHtCAYAAAAqfRZIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nH/JLXOQiINkkAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"corner.corner( samples );"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Advertisement"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"_Brought to you by:_\n",
"\n",
" Astro Hack Week 2016\n",
" Week-long summer school and unconference\n",
" August 29 - September 2, 2016\n",
" Berkeley, CA\n",
"\n",
"http://astrohackweek.org/"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}