diff --git a/.gitignore b/.gitignore index 18f3f83..5b6f678 100644 --- a/.gitignore +++ b/.gitignore @@ -47,3 +47,4 @@ web bb_cc_r2all_comparison.pdf *.npy *.pck +random-forest.p diff --git a/notebooks/00_Overview.ipynb b/notebooks/00_Overview.ipynb new file mode 100644 index 0000000..403e1ed --- /dev/null +++ b/notebooks/00_Overview.ipynb @@ -0,0 +1,558 @@ +{ + "metadata": { + "name": "00_Overview" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##Overview\n", + "\n", + "This notebook serves two purposes: testing out your installation and giving you a rough idea of what will be covered in this tutorial." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "###Basic python" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "####hello world" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "print 'hello world'" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "hello world\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "####And others" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "1+1" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "pyout", + "prompt_number": 2, + "text": [ + "2" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "for i in range(3):\n", + " print 'loop', i" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "loop 0\n", + "loop 1\n", + "loop 2\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "###Reading ROOT FILE" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from root_numpy import root2rec" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 4 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "bb = root2rec('data/B*.root') #yep that simple\n", + "cc = root2rec('data/cc-BtoDpi-all.root')" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 5 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "###And plotting" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "hist([bb.R2All, cc.R2All], bins=100, histtype='stepfilled', \n", + " color=['red','green'], alpha=0.5, label=[r'$B\\bar{B}$',r'$c\\bar{c}$']);\n", + "legend().get_frame().set_alpha(0.5)\n", + "title(r'My Amazing plot of R2All $\\alpha$ $\\beta$', fontsize='xx-large' )\n", + "xlabel('R2All')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "pyout", + "prompt_number": 6, + "text": [ + "" + ] + }, + { + "output_type": "display_data", + 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sDjsVFRVYrdZ2OZ/BZKDPxD7Oh7PCNeFodd6dxuBikuSFEF2Cj9GH/Xv388j8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\nSUVORK5CYII=\n", + "text": [ + "" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "###Multivariate analysis" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from sklearn import tree" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 7 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "feature_sig= np.random.multivariate_normal(mean=[0.0, 0.0], cov=[ [1,0.5], [0.5,1] ], size= 1000)\n", + "feature_bkg= (np.random.rand(1000,2)-0.5)*10\n", + "scatter(feature_bkg[:,0], feature_bkg[:,1], color='b', alpha=0.4, label='bkg')\n", + "scatter(feature_sig[:,0], feature_sig[:,1], color='g', alpha=0.4, label='sig')\n", + "legend().get_frame().set_alpha(0.8) # I submitted a patch to do legend(framealpha=0.5)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "png": 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Ci9VKoThnDsFr4kSCTG9VleEoPp4B0bo6gu/x4/x/cnLv1s277zKIWFDAOTMY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\n3U1yCidPnqQZM2ZQUlI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+ "text": [ + "" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#prepare data for training\n", + "features = np.concatenate([feature_sig, feature_bkg])\n", + "classes = np.array( [0]*len(feature_bkg) + [1]*len(feature_sig) )" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 9 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "clf = tree.DecisionTreeClassifier(min_samples_leaf=10)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 10 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "clf.fit(features, classes)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "pyout", + "prompt_number": 11, + "text": [ + "DecisionTreeClassifier(compute_importances=False, criterion='gini',\n", + " max_depth=None, max_features=None, min_density=0.1,\n", + " min_samples_leaf=10, min_samples_split=20,\n", + " random_state=)" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "prediction = clf.predict(features)\n", + "print prediction.shape\n", + "print features[:,0].shape" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "(2000,)\n", + "(2000,)\n" + ] + } + ], + "prompt_number": 12 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "sig = features[prediction==1]\n", + "bg = features[prediction==0]\n", + "figure(figsize=(12,6))\n", + "subplot(121)\n", + "x = linspace(-5,5,100)\n", + "y = linspace(-5,5,100)\n", + "xx, yy = np.meshgrid((x[1:]+x[:-1])/2.0, (y[1:]+y[:-1])/2.0)\n", + "Z = clf.predict(np.c_[xx.ravel(), yy.ravel()]).reshape(xx.shape)\n", + "pcolormesh(xx,yy,Z,cmap='Pastel2')\n", + "scatter(sig[:,0],sig[:,1],color='b', alpha=0.4)\n", + "scatter(bg[:,0],bg[:,1],color='g', alpha=0.4)\n", + "title('Prediction');\n", + "subplot(122)\n", + "scatter(feature_bkg[:,0], feature_bkg[:,1], color='b', alpha=0.4, label='bkg')\n", + "scatter(feature_sig[:,0], feature_sig[:,1], color='g', alpha=0.4, label='sig')\n", + "legend().get_frame().set_alpha(0.8)\n", + "title('Original')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "pyout", + "prompt_number": 13, + "text": [ + "" + ] + }, + { + "output_type": "display_data", + "png": 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4Kv8qLBqxCDzHQ6sFOkNerK78BxwGG4yadLQFXXh935v45XU/As/HT36zrxm1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\nMjW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STeOV4LXXEkQiLtHool53ZCS4hFTeemuRZ55poFwW1bqWFmsJcVFVuPXW0mWDOoJB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\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rglTruiC+n/rUBzunC2F8XPz09Ihro6NDTBJ/3fidr/wWi8KJoVBQkWW46ab8e5LTD4rV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\nQYGnb4MEWWB1dCijuhVoNMD8+U4AoSXm9HQfMjN9Qfuszk4tWlp0WLWqB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+ "text": [ + "" + ] + } + ], + "prompt_number": 13 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "###Fitting" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from iminuit import Minuit\n", + "from probfit import UnbinnedLH, gaussian" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 14 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "data = randn(10000)\n", + "hist(data, bins=100, histtype='step');" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 15 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "ulh = UnbinnedLH(gaussian, data)\n", + "ulh.draw(args=dict(mean=1.2, sigma=0.7))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "png": 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7wM8/lyzjGRNDKUysisBA4Ngx4MABoGtX3mqExiS5VtRqNTIzMw3lzMxMuBlZ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\nQh3jV16xUIUuLiUx5SZ2r1g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Assume 1.\n", + "-c:1: InitialParamWarning: Parameter sigma is floating but does not have initial step size. Assume 1.\n" + ] + } + ], + "prompt_number": 17 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "m.migrad()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "html": [ + "
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FCN = 14253.4400285NFCN = 58NCALLS = 58
EDM = 2.25861962361e-08GOAL EDM = 5e-06UP = 0.5
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ValidValid ParamAccurate CovarPosDefMade PosDef
TrueTrueTrueTrueFalse
Hesse FailHasCovAbove EDMReach calllim
FalseTrueFalseFalse
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NameValueParab ErrorMinos Error-Minos Error+Limit-Limit+FIXED
1mean1.468257e-021.006428e-020.000000e+000.000000e+00
2sigma1.006427e+007.116531e-030.000000e+000.000000e+00
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" + ], + "output_type": "display_data" + }, + { + "output_type": "pyout", + "prompt_number": 18, + "text": [ + "({'hesse_failed': False, 'has_reached_call_limit': False, 'has_accurate_covar': True, 'has_posdef_covar': True, 'up': 0.5, 'edm': 2.258619623612016e-08, 'is_valid': True, 'is_above_max_edm': False, 'has_covariance': True, 'has_made_posdef_covar': False, 'has_valid_parameters': True, 'fval': 14253.440028460127, 'nfcn': 58},\n", + " [{'is_const': False, 'name': 'mean', 'has_limits': False, 'value': 0.014682570532315777, 'number': 0L, 'has_lower_limit': False, 'upper_limit': 0.0, 'lower_limit': 0.0, 'has_upper_limit': False, 'error': 0.010064276469830966, 'is_fixed': False},\n", + " {'is_const': False, 'name': 'sigma', 'has_limits': False, 'value': 1.0064274701983684, 'number': 1L, 'has_lower_limit': False, 'upper_limit': 0.0, 'lower_limit': 0.0, 'has_upper_limit': False, 'error': 0.007116530650577966, 'is_fixed': False}])" + ] + } + ], + "prompt_number": 18 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "print m.values\n", + "print m.errors\n", + "ulh.draw(m)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "{'sigma': 1.0064274701983684, 'mean': 0.014682570532315777}\n", + "{'sigma': 0.007116530650577966, 'mean': 0.010064276469830966}\n" + ] + }, + { + "output_type": "display_data", + "png": 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zfhKjRqmb5W7Z2vJPl4FYkg0//KB2GklDZIEvQKv9Ni3mqhKZNm6Ea9fIdO/A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\n2xsGDqSOSMfm61lqp6kWZA9eKhMpKco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+ "text": [ + "" + ] + } + ], + "prompt_number": 19 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/notebooks/00_Overview.py b/notebooks/00_Overview.py new file mode 100644 index 0000000..9707f6f --- /dev/null +++ b/notebooks/00_Overview.py @@ -0,0 +1,148 @@ +# -*- coding: utf-8 -*- +# 3.0 + +# + +# ##Overview +# +# This notebook serves two purposes: testing out your installation and giving you a rough idea of what will be covered in this tutorial. + +# + +# ###Basic python + +# + +# ####hello world + +# + +print 'hello world' + +# + +# ####And others + +# + +1+1 + +# + +for i in range(3): + print 'loop', i + +# + +# ###Reading ROOT FILE + +# + +from root_numpy import root2rec + +# + +bb = root2rec('data/B*.root') #yep that simple +cc = root2rec('data/cc-BtoDpi-all.root') + +# + +# ###And plotting + +# + +hist([bb.R2All, cc.R2All], bins=100, histtype='stepfilled', + color=['red','green'], alpha=0.5, label=[r'$B\bar{B}$',r'$c\bar{c}$']); +legend().get_frame().set_alpha(0.5) +title(r'My Amazing plot of R2All $\alpha$ $\beta$', fontsize='xx-large' ) +xlabel('R2All') + +# + +# ###Multivariate analysis + +# + +from sklearn import tree + +# + +feature_sig= np.random.multivariate_normal(mean=[0.0, 0.0], cov=[ [1,0.5], [0.5,1] ], size= 1000) +feature_bkg= (np.random.rand(1000,2)-0.5)*10 +scatter(feature_bkg[:,0], feature_bkg[:,1], color='b', alpha=0.4, label='bkg') +scatter(feature_sig[:,0], feature_sig[:,1], color='g', alpha=0.4, label='sig') +legend().get_frame().set_alpha(0.8) # I submitted a patch to do legend(framealpha=0.5) + +# + +#prepare data for training +features = np.concatenate([feature_sig, feature_bkg]) +classes = np.array( [0]*len(feature_bkg) + [1]*len(feature_sig) ) + +# + +clf = tree.DecisionTreeClassifier(min_samples_leaf=10) + +# + +clf.fit(features, classes) + +# + +prediction = clf.predict(features) +print prediction.shape +print features[:,0].shape + +# + +sig = features[prediction==1] +bg = features[prediction==0] +figure(figsize=(12,6)) +subplot(121) +x = linspace(-5,5,100) +y = linspace(-5,5,100) +xx, yy = np.meshgrid((x[1:]+x[:-1])/2.0, (y[1:]+y[:-1])/2.0) +Z = clf.predict(np.c_[xx.ravel(), yy.ravel()]).reshape(xx.shape) +pcolormesh(xx,yy,Z,cmap='Pastel2') +scatter(sig[:,0],sig[:,1],color='b', alpha=0.4) +scatter(bg[:,0],bg[:,1],color='g', alpha=0.4) +title('Prediction'); +subplot(122) +scatter(feature_bkg[:,0], feature_bkg[:,1], color='b', alpha=0.4, label='bkg') +scatter(feature_sig[:,0], feature_sig[:,1], color='g', alpha=0.4, label='sig') +legend().get_frame().set_alpha(0.8) +title('Original') + +# + +# ###Fitting + +# + +from iminuit import Minuit +from probfit import UnbinnedLH, gaussian + +# + +data = randn(10000) +hist(data, bins=100, histtype='step'); + +# + +ulh = UnbinnedLH(gaussian, data) +ulh.draw(args=dict(mean=1.2, sigma=0.7)) + +# + +m = Minuit(ulh, mean=1.2, sigma=0.7) + +# + +m.migrad() + +# + +print m.values +print m.errors +ulh.draw(m) + diff --git a/notebooks/01_Basic_Python.ipynb b/notebooks/01_Basic_Python.ipynb index 237fa0a..5208b27 100644 --- a/notebooks/01_Basic_Python.ipynb +++ b/notebooks/01_Basic_Python.ipynb @@ -12,7 +12,7 @@ "level": 2, "metadata": {}, "source": [ - "Basic Python" + "Basic Python(Short version)" ] }, { @@ -20,7 +20,7 @@ "metadata": {}, "source": [ "This is just to give you a glimpse of what Python can do.\n", - "We select only subset of the feature we think will be useful for doing analysis. We also leave links in various place in case you want to do your own further study.\n", + "We select only subset of the feature we think will be useful for doing analysis. We also leave links in various place in case you want to do your own further study and there is also an extended edition if you want to learn more.\n", "\n", "For more complete features, you can look at Python [official documentation](http://docs.python.org/2/) or a book like [Think Python](http://www.greenteapress.com/thinkpython/html/index.html)\n", "\n", @@ -354,6 +354,7 @@ "collapsed": false, "input": [ "#searching O(N) use set for O(log(N))\n", + "#http://docs.python.org/2/tutorial/datastructures.html#sets\n", "10 in l" ], "language": "python", @@ -412,9 +413,10 @@ "cell_type": "code", "collapsed": false, "input": [ - "#list comprehension\n", + "#List Comprehension\n", "#we will get to for loop later but for simple one\n", "#list comprehension is much more readable\n", + "print l\n", "my_list = [2*x for x in l]\n", "print my_list\n", "my_list = [ (2*x,x) for x in range(10)]\n", @@ -429,6 +431,7 @@ "output_type": "stream", "stream": "stdout", "text": [ + "[1, 3, 4, 5, 6, 7, 10, 999]\n", "[2, 6, 8, 10, 12, 14, 20, 1998]\n", "[(0, 0), (2, 1), (4, 2), (6, 3), (8, 4), (10, 5), (12, 6), (14, 7), (16, 8), (18, 9)]\n", "[0, 6, 12, 18, 24]\n" @@ -550,6 +553,7 @@ "collapsed": false, "input": [ "#tuple expansion\n", + "print tu\n", "x, y, z = tu\n", "print x #1\n", "print y #2\n", @@ -566,6 +570,7 @@ "output_type": "stream", "stream": "stdout", "text": [ + "(1, 2, 3)\n", "1\n", "2\n", "3\n", @@ -697,115 +702,6 @@ ], "prompt_number": 28 }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Set\n", - "---\n", - "Binary tree-ish. Very good at membership searching. O(log(N)) instead of O(N) in list." - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "s = {1,2,3,4,5,6}\n", - "print s\n", - "s2 = set([4, 5, 6, 7, 8, 9, 9, 9, 9]) #from a list\n", - "#duplicated element is ignored\n", - "print s2" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "set([1, 2, 3, 4, 5, 6])\n", - "set([4, 5, 6, 7, 8, 9])\n" - ] - } - ], - "prompt_number": 29 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#membership this is O(log(n))\n", - "print 3 in s\n", - "print 10 in s\n", - "print 11 not in s" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "True\n", - "False\n", - "True\n" - ] - } - ], - "prompt_number": 30 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "print s | s2 #union\n", - "print s & s2 #intersection\n", - "print s - s2 #differece\n", - "print s ^ s2 #symmetric differnce\n", - "print {2,3,4} <= s #subset\n", - "print s >= {2,3,4} #superset" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "set([1, 2, 3, 4, 5, 6, 7, 8, 9])\n", - "set([4, 5, 6])\n", - "set([1, 2, 3])\n", - "set([1, 2, 3, 7, 8, 9])\n", - "True\n", - "True\n" - ] - } - ], - "prompt_number": 31 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#insert\n", - "s.update([10,11,12])\n", - "print s\n", - "print 11 in s" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "set([1, 2, 3, 4, 5, 6, 10, 11, 12])\n", - "True\n" - ] - } - ], - "prompt_number": 32 - }, { "cell_type": "markdown", "metadata": {}, @@ -845,7 +741,7 @@ ] } ], - "prompt_number": 33 + "prompt_number": 29 }, { "cell_type": "code", @@ -866,7 +762,7 @@ ] } ], - "prompt_number": 34 + "prompt_number": 30 }, { "cell_type": "code", @@ -876,7 +772,7 @@ "if x>10:\n", " print 'yes'\n", "else:\n", - " pass #pass keywoard means do nothing\n", + " pass #pass keyword means do nothing\n", "x+=1\n", "print x" ], @@ -892,28 +788,28 @@ ] } ], - "prompt_number": 35 + "prompt_number": 31 }, { "cell_type": "code", "collapsed": false, "input": [ "#why is there no bracket??\n", - "from __future__ import braces #easter egg" + "from __future__ import braces # easter egg" ], "language": "python", "metadata": {}, "outputs": [ { "ename": "SyntaxError", - "evalue": "not a chance (, line 2)", + "evalue": "not a chance (, line 2)", "output_type": "pyerr", "traceback": [ - "\u001b[0;36m File \u001b[0;32m\"\"\u001b[0;36m, line \u001b[0;32m2\u001b[0m\n\u001b[0;31m from __future__ import braces #easter egg\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m not a chance\n" + "\u001b[0;36m File \u001b[0;32m\"\"\u001b[0;36m, line \u001b[0;32m2\u001b[0m\n\u001b[0;31m from __future__ import braces # easter egg\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m not a chance\n" ] } ], - "prompt_number": 36 + "prompt_number": 32 }, { "cell_type": "markdown", @@ -929,51 +825,11 @@ "collapsed": false, "input": [ "#iterate over list\n", - "for i in range(5): #not recommended use xrange instead\n", - " print i#again indentation is meaningful" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "0\n", - "1\n", - "2\n", - "3\n", - "4\n" - ] - } - ], - "prompt_number": 37 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "####Generator\n", - "In previous example, we use `range`. But `range` will be evaluated \n", - "right away and try to put ``[1,2,3,4,5]`` in the memory\n", - "\n", - "This is bad if you try to loop over large number. `for i in range(100000)` will put 100000 numbers in to the memory first. This is very inefficient since you use each one of them once.\n", - "\n", - "To fix this we use generator instead. As far as we are concern they are\n", - "object that spit out number only when ask and doesn't keep it's previous\n", - "states which means no access by index nor going backward. You can read more about it from [python wiki](http://wiki.python.org/moin/Generators). Or just google for python `yield` keyword.\n", - "\n", - "Long story short just use `for i in xrange(5)` instead" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#Lazy programming\n", - "#save memory\n", - "for i in xrange(5):\n", - " print i" + "for i in xrange(5): # xrange is a generator\n", + " print i # again indentation is meaningful\n", + "print '------'\n", + "for i in xrange(20,25): # xrange is a generator see extended version if you wonder\n", + " print i # again indentation is meaningful" ], "language": "python", "metadata": {}, @@ -986,11 +842,17 @@ "1\n", "2\n", "3\n", - "4\n" + "4\n", + "------\n", + "20\n", + "21\n", + "22\n", + "23\n", + "24\n" ] } ], - "prompt_number": 38 + "prompt_number": 33 }, { "cell_type": "code", @@ -1014,41 +876,14 @@ ] } ], - "prompt_number": 39 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#you can build your own generator too\n", - "l = [1,2,3,4]\n", - "#(2*y for y in l) is a generator that split out 2*y\n", - "#for every element in l\n", - "#not really a good way to write it but just to show it\n", - "for x in (2*y for y in l):#notice the brackets\n", - " print x" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "2\n", - "4\n", - "6\n", - "8\n" - ] - } - ], - "prompt_number": 40 + "prompt_number": 34 }, { "cell_type": "code", "collapsed": false, "input": [ "#if you need index\n", + "l = ['a','b','c']\n", "for i,x in enumerate(l):\n", " print i,x" ], @@ -1059,14 +894,13 @@ "output_type": "stream", "stream": "stdout", "text": [ - "0 1\n", - "1 2\n", - "2 3\n", - "3 4\n" + "0 a\n", + "1 b\n", + "2 c\n" ] } ], - "prompt_number": 41 + "prompt_number": 35 }, { "cell_type": "code", @@ -1092,7 +926,7 @@ ] } ], - "prompt_number": 42 + "prompt_number": 36 }, { "cell_type": "code", @@ -1100,8 +934,8 @@ "input": [ "#looping over multiple list together\n", "lx = [1,2,3]\n", - "ly = [x+1 for x in l]\n", - "print l,l2\n", + "ly = [2*x+1 for x in lx]\n", + "print lx, ly\n", "for x,y in zip(lx,ly): #there is also itertools.izip that does generator\n", " print x,y" ], @@ -1112,14 +946,14 @@ "output_type": "stream", "stream": "stdout", "text": [ - "[1, 2, 3, 4] []\n", - "1 2\n", - "2 3\n", - "3 4\n" + "[1, 2, 3] [3, 5, 7]\n", + "1 3\n", + "2 5\n", + "3 7\n" ] } ], - "prompt_number": 43 + "prompt_number": 37 }, { "cell_type": "code", @@ -1146,7 +980,7 @@ ] } ], - "prompt_number": 44 + "prompt_number": 38 }, { "cell_type": "markdown", @@ -1187,13 +1021,13 @@ }, { "output_type": "pyout", - "prompt_number": 45, + "prompt_number": 39, "text": [ "30" ] } ], - "prompt_number": 45 + "prompt_number": 39 }, { "cell_type": "code", @@ -1218,13 +1052,13 @@ }, { "output_type": "pyout", - "prompt_number": 46, + "prompt_number": 40, "text": [ "'helloworld'" ] } ], - "prompt_number": 46 + "prompt_number": 40 }, { "cell_type": "code", @@ -1233,7 +1067,7 @@ "#you can pass it by name too\n", "#this is useful since you can't always remember the order\n", "#of the arguments\n", - "f(y='y',x='x') # notice i put y before x" + "f(y='y',x='x') # notice I put y before x" ], "language": "python", "metadata": {}, @@ -1248,13 +1082,13 @@ }, { "output_type": "pyout", - "prompt_number": 47, + "prompt_number": 41, "text": [ "'xy'" ] } ], - "prompt_number": 47 + "prompt_number": 41 }, { "cell_type": "code", @@ -1263,9 +1097,9 @@ "#default/keyword arguments\n", "def g(x, y, z='hey'):\n", " #one of the most useful function\n", - " print locals()#return dictionary of all local variables\n", + " print locals() # return dictionary of all local variables\n", "g(10,20)\n", - "g(10,20,30)#can do it positionally" + "g(10,20,30) # can do it positionally" ], "language": "python", "metadata": {}, @@ -1279,7 +1113,7 @@ ] } ], - "prompt_number": 48 + "prompt_number": 42 }, { "cell_type": "code", @@ -1298,7 +1132,7 @@ ] } ], - "prompt_number": 49 + "prompt_number": 43 }, { "cell_type": "code", @@ -1310,7 +1144,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 50 + "prompt_number": 44 }, { "cell_type": "code", @@ -1322,7 +1156,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 51 + "prompt_number": 45 }, { "cell_type": "markdown", @@ -1346,7 +1180,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 52 + "prompt_number": 46 }, { "cell_type": "markdown", @@ -1383,7 +1217,7 @@ ] } ], - "prompt_number": 53 + "prompt_number": 47 }, { "cell_type": "code", @@ -1407,7 +1241,7 @@ ] } ], - "prompt_number": 54 + "prompt_number": 48 }, { "cell_type": "code", @@ -1422,13 +1256,13 @@ "outputs": [ { "output_type": "pyout", - "prompt_number": 55, + "prompt_number": 49, "text": [ "4" ] } ], - "prompt_number": 55 + "prompt_number": 49 }, { "cell_type": "markdown", @@ -1458,7 +1292,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 56 + "prompt_number": 50 }, { "cell_type": "code", @@ -1478,7 +1312,7 @@ ] } ], - "prompt_number": 57 + "prompt_number": 51 }, { "cell_type": "code", @@ -1489,7 +1323,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 58 + "prompt_number": 52 }, { "cell_type": "code", @@ -1510,7 +1344,7 @@ ] } ], - "prompt_number": 59 + "prompt_number": 53 }, { "cell_type": "code", @@ -1532,7 +1366,7 @@ ] } ], - "prompt_number": 60 + "prompt_number": 54 }, { "cell_type": "code", @@ -1555,7 +1389,7 @@ ] } ], - "prompt_number": 61 + "prompt_number": 55 }, { "cell_type": "code", @@ -1578,7 +1412,7 @@ ] } ], - "prompt_number": 62 + "prompt_number": 56 }, { "cell_type": "markdown", @@ -1618,371 +1452,7 @@ ] } ], - "prompt_number": 63 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "####Bonus" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "####Everything in python is actually an Object.\n", - "This includes string, integer, functions etc. I really mean it." - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#this might comes in handy\n", - "'_'.join([\"let's\",'join','this'])" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "pyout", - "prompt_number": 64, - "text": [ - "\"let's_join_this\"" - ] - } - ], - "prompt_number": 64 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "x =1 \n", - "x.real" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "pyout", - "prompt_number": 65, - "text": [ - "1" - ] - } - ], - "prompt_number": 65 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "def f(x,y):\n", - " return x+y\n", - "f.func_code.co_varnames #This is used in writing fitting library" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "pyout", - "prompt_number": 66, - "text": [ - "('x', 'y')" - ] - } - ], - "prompt_number": 66 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "####Introspection" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#bonus introspection\n", - "a = MyClass(10)\n", - "dir(a)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "pyout", - "prompt_number": 67, - "text": [ - "['__doc__', '__init__', '__module__', 'do_this', 'x', 'y']" - ] - } - ], - "prompt_number": 67 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "####Class Method(Static method-ish)\n", - "If you need a classmethod(aka static-ish method), there is classmethod [decorator](http://wiki.python.org/moin/PythonDecorators). It's actually just a [Higher order function](http://en.wikipedia.org/wiki/Higher-order_function): a function that returns function (in disguise). But we won't go into details here." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "###Modularizing your code: import\n", - "\n", - "You normally want to put these imports at the top of your file." - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math #import module called math" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 68 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "print math.exp(2)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "7.38905609893\n" - ] - } - ], - "prompt_number": 69 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from math import exp #import exp from math module\n", - "print exp(3)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "20.0855369232\n" - ] - } - ], - "prompt_number": 70 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#not recommended but\n", - "from math import * #import every symbol in that module\n", - "sin(100)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "pyout", - "prompt_number": 71, - "text": [ - "-0.5063656411097588" - ] - } - ], - "prompt_number": 71 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#if you hate typing\n", - "#import it into a symbol\n", - "import math as m\n", - "m.exp(10)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "pyout", - "prompt_number": 72, - "text": [ - "22026.465794806718" - ] - } - ], - "prompt_number": 72 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "####Writing Your Own Module\n", - "For basic stuff: you just write your code and name it `my_module.py` put it in the same directory as the file you want to load my_module then you can do\n", - " \n", - " import my_module\n", - "\n", - "All functions and variables you declared in ``my_module.py`` will be in there. Python has pretty advance module system. You can read about it [here](http://docs.python.org/2/tutorial/modules.html)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "####Bonus: Module search path\n", - "See [The Module Search Path](http://docs.python.org/2/tutorial/modules.html#the-module-search-path). Basically what it says is that it will look for `.py` file or directory with the same name as module you are trying to import in the following order.\n", - "\n", - "1. current directory\n", - "2. stuff in PYTHON_PATH environment variable\n", - "3. site-packages directory (those from python setup.py install)\n", - "\n", - "The path is stored in sys.path which you can manipulate at runtime\n", - "\n", - " import sys\n", - " print sys.path\n", - " sys.path.append(path_to_your_library)\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "###Persistence: Read/Write File.\n", - "Python support introspeciton so it can dump object to a file. Most popular way to do this is [pickle](http://docs.python.org/2/library/pickle.html). We won't go into details about it but if you need it just read about it. If you need to read and write a raw file, look [here](http://docs.python.org/2/tutorial/inputoutput.html#reading-and-writing-files)." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "###Exception: raise, try catch finally\n" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "def f(x):\n", - " #we need x to be >0\n", - " if x<0:\n", - " raise RuntimeError('Dude!! watch what you are doing')\n", - " return 10" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 73 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "f(-1)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "ename": "RuntimeError", - "evalue": "Dude!! watch what you are doing", - "output_type": "pyerr", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mRuntimeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mf\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", - "\u001b[0;32m\u001b[0m in \u001b[0;36mf\u001b[0;34m(x)\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;31m#we need x to be >0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m<\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mRuntimeError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'Dude!! watch what you are doing'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 5\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0;36m10\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mRuntimeError\u001b[0m: Dude!! watch what you are doing" - ] - } - ], - "prompt_number": 74 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#we can catch with with try except block\n", - "try:\n", - " f(-1)\n", - "except RuntimeError as e:\n", - " print e" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Dude!! watch what you are doing\n" - ] - } - ], - "prompt_number": 75 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "try:\n", - " f(-1)\n", - "except RuntimeError as e:\n", - " print 'hoooooooooooo'\n", - " print e\n", - " raise #you can reraise it" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "ename": "RuntimeError", - "evalue": "Dude!! watch what you are doing", - "output_type": "pyerr", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mRuntimeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mf\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mRuntimeError\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0me\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;32mprint\u001b[0m \u001b[0;34m'hoooooooooooo'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;32mprint\u001b[0m \u001b[0me\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m\u001b[0m in \u001b[0;36mf\u001b[0;34m(x)\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;31m#we need x to be >0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m<\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mRuntimeError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'Dude!! watch what you are doing'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 5\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0;36m10\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mRuntimeError\u001b[0m: Dude!! watch what you are doing" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "hoooooooooooo\n", - "Dude!! watch what you are doing\n" - ] - } - ], - "prompt_number": 76 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [], - "language": "python", - "metadata": {}, - "outputs": [] + "prompt_number": 57 } ], "metadata": {} diff --git a/notebooks/01_Basic_Python.py b/notebooks/01_Basic_Python.py index 54a1026..d124ea5 100644 --- a/notebooks/01_Basic_Python.py +++ b/notebooks/01_Basic_Python.py @@ -3,12 +3,12 @@ # -# Basic Python +# Basic Python(Short version) # # This is just to give you a glimpse of what Python can do. -# We select only subset of the feature we think will be useful for doing analysis. We also leave links in various place in case you want to do your own further study. +# We select only subset of the feature we think will be useful for doing analysis. We also leave links in various place in case you want to do your own further study and there is also an extended edition if you want to learn more. # # For more complete features, you can look at Python [official documentation](http://docs.python.org/2/) or a book like [Think Python](http://www.greenteapress.com/thinkpython/html/index.html) # @@ -124,6 +124,7 @@ # #searching O(N) use set for O(log(N)) +#http://docs.python.org/2/tutorial/datastructures.html#sets 10 in l # @@ -137,9 +138,10 @@ # -#list comprehension +#List Comprehension #we will get to for loop later but for simple one #list comprehension is much more readable +print l my_list = [2*x for x in l] print my_list my_list = [ (2*x,x) for x in range(10)] @@ -191,6 +193,7 @@ # #tuple expansion +print tu x, y, z = tu print x #1 print y #2 @@ -250,43 +253,6 @@ def f(x,y): # -# Set -# --- -# Binary tree-ish. Very good at membership searching. O(log(N)) instead of O(N) in list. - -# - -s = {1,2,3,4,5,6} -print s -s2 = set([4, 5, 6, 7, 8, 9, 9, 9, 9]) #from a list -#duplicated element is ignored -print s2 - -# - -#membership this is O(log(n)) -print 3 in s -print 10 in s -print 11 not in s - -# - -print s | s2 #union -print s & s2 #intersection -print s - s2 #differece -print s ^ s2 #symmetric differnce -print {2,3,4} <= s #subset -print s >= {2,3,4} #superset - -# - -#insert -s.update([10,11,12]) -print s -print 11 in s - -# - # ##Control Flow # ###if else elif # Indentation in python is meaningful. There is "NO" bracket scoping in python. @@ -319,14 +285,14 @@ def f(x,y): if x>10: print 'yes' else: - pass #pass keywoard means do nothing + pass #pass keyword means do nothing x+=1 print x # #why is there no bracket?? -from __future__ import braces #easter egg +from __future__ import braces # easter egg # @@ -337,29 +303,11 @@ def f(x,y): # #iterate over list -for i in range(5): #not recommended use xrange instead - print i#again indentation is meaningful - -# - -# ####Generator -# In previous example, we use `range`. But `range` will be evaluated -# right away and try to put ``[1,2,3,4,5]`` in the memory -# -# This is bad if you try to loop over large number. `for i in range(100000)` will put 100000 numbers in to the memory first. This is very inefficient since you use each one of them once. -# -# To fix this we use generator instead. As far as we are concern they are -# object that spit out number only when ask and doesn't keep it's previous -# states which means no access by index nor going backward. You can read more about it from [python wiki](http://wiki.python.org/moin/Generators). Or just google for python `yield` keyword. -# -# Long story short just use `for i in xrange(5)` instead - -# - -#Lazy programming -#save memory -for i in xrange(5): - print i +for i in xrange(5): # xrange is a generator + print i # again indentation is meaningful +print '------' +for i in xrange(20,25): # xrange is a generator see extended version if you wonder + print i # again indentation is meaningful # @@ -370,17 +318,8 @@ def f(x,y): # -#you can build your own generator too -l = [1,2,3,4] -#(2*y for y in l) is a generator that split out 2*y -#for every element in l -#not really a good way to write it but just to show it -for x in (2*y for y in l):#notice the brackets - print x - -# - #if you need index +l = ['a','b','c'] for i,x in enumerate(l): print i,x @@ -397,8 +336,8 @@ def f(x,y): #looping over multiple list together lx = [1,2,3] -ly = [x+1 for x in l] -print l,l2 +ly = [2*x+1 for x in lx] +print lx, ly for x,y in zip(lx,ly): #there is also itertools.izip that does generator print x,y @@ -441,16 +380,16 @@ def f(x, y): #remember the colon #you can pass it by name too #this is useful since you can't always remember the order #of the arguments -f(y='y',x='x') # notice i put y before x +f(y='y',x='x') # notice I put y before x # #default/keyword arguments def g(x, y, z='hey'): #one of the most useful function - print locals()#return dictionary of all local variables + print locals() # return dictionary of all local variables g(10,20) -g(10,20,30)#can do it positionally +g(10,20,30) # can do it positionally # @@ -590,140 +529,3 @@ class Child(Parent): print p.x print c.x -# - -# ####Bonus - -# - -# ####Everything in python is actually an Object. -# This includes string, integer, functions etc. I really mean it. - -# - -#this might comes in handy -'_'.join(["let's",'join','this']) - -# - -x =1 -x.real - -# - -def f(x,y): - return x+y -f.func_code.co_varnames #This is used in writing fitting library - -# - -# ####Introspection - -# - -#bonus introspection -a = MyClass(10) -dir(a) - -# - -# ####Class Method(Static method-ish) -# If you need a classmethod(aka static-ish method), there is classmethod [decorator](http://wiki.python.org/moin/PythonDecorators). It's actually just a [Higher order function](http://en.wikipedia.org/wiki/Higher-order_function): a function that returns function (in disguise). But we won't go into details here. - -# - -# ###Modularizing your code: import -# -# You normally want to put these imports at the top of your file. - -# - -import math #import module called math - -# - -print math.exp(2) - -# - -from math import exp #import exp from math module -print exp(3) - -# - -#not recommended but -from math import * #import every symbol in that module -sin(100) - -# - -#if you hate typing -#import it into a symbol -import math as m -m.exp(10) - -# - -# ####Writing Your Own Module -# For basic stuff: you just write your code and name it `my_module.py` put it in the same directory as the file you want to load my_module then you can do -# -# import my_module -# -# All functions and variables you declared in ``my_module.py`` will be in there. Python has pretty advance module system. You can read about it [here](http://docs.python.org/2/tutorial/modules.html) - -# - -# ####Bonus: Module search path -# See [The Module Search Path](http://docs.python.org/2/tutorial/modules.html#the-module-search-path). Basically what it says is that it will look for `.py` file or directory with the same name as module you are trying to import in the following order. -# -# 1. current directory -# 2. stuff in PYTHON_PATH environment variable -# 3. site-packages directory (those from python setup.py install) -# -# The path is stored in sys.path which you can manipulate at runtime -# -# import sys -# print sys.path -# sys.path.append(path_to_your_library) - -# - -# ###Persistence: Read/Write File. -# Python support introspeciton so it can dump object to a file. Most popular way to do this is [pickle](http://docs.python.org/2/library/pickle.html). We won't go into details about it but if you need it just read about it. If you need to read and write a raw file, look [here](http://docs.python.org/2/tutorial/inputoutput.html#reading-and-writing-files). - -# - -# ###Exception: raise, try catch finally - -# - -def f(x): - #we need x to be >0 - if x<0: - raise RuntimeError('Dude!! watch what you are doing') - return 10 - -# - -f(-1) - -# - -#we can catch with with try except block -try: - f(-1) -except RuntimeError as e: - print e - -# - -try: - f(-1) -except RuntimeError as e: - print 'hoooooooooooo' - print e - raise #you can reraise it - -# - - diff --git a/notebooks/02_Read_And_Plot.ipynb b/notebooks/02_Read_And_Plot.ipynb index 5617956..7129c4a 100644 --- a/notebooks/02_Read_And_Plot.ipynb +++ b/notebooks/02_Read_And_Plot.ipynb @@ -37,6 +37,19 @@ "outputs": [], "prompt_number": 1 }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#if yo do not have inumpy install. Install it by doing uncomment the following line\n", + "#execute it and restart kernel(CTRL-M+.)\n", + "#%install_ext https://raw.github.com/piti118/inumpy/master/inumpy.py" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 2 + }, { "cell_type": "code", "collapsed": false, @@ -53,18 +66,11 @@ "text": [ "\n", "Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.zmq.pylab.backend_inline].\n", - "For more information, type 'help(pylab)'." - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n" + "For more information, type 'help(pylab)'.\n" ] } ], - "prompt_number": 2 + "prompt_number": 3 }, { "cell_type": "code", @@ -83,7 +89,7 @@ ] } ], - "prompt_number": 3 + "prompt_number": 4 }, { "cell_type": "markdown", @@ -103,7 +109,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 4 + "prompt_number": 5 }, { "cell_type": "markdown", @@ -138,18 +144,11 @@ "output_type": "stream", "stream": "stdout", "text": [ - "('nTracks', 'R2All', 'thrustMagAll', 'sphericityAll', 'mcLen', 'mcLund', 'mothIdx', 'dauLen', 'dauIdx', 'nB', 'BCosSphr', 'BCosThetaS', 'BCosThetaT', 'BCosThrust', 'BLegendreP0', 'BLegendreP2', 'BPFlow0', 'BPFlow1', 'BPFlow2', 'BPFlow3', 'BPFlow4', 'BPFlow5', 'BPFlow6', 'BPFlow7', 'BPFlow8', 'BR2ROE', 'BSphr', 'BSphrROE', 'BThrust', 'BThrustROE', 'BpostFitDeltaE', 'BpostFitMes', 'BpreFitDeltaE', 'BpreFitMes', 'BLund', 'BMCIdx', 'Bd1Lund', 'Bd1Idx', 'Bd2Lund', 'Bd2Idx', 'nD', 'DMass', 'DMassErr', 'DLund', 'DMCIdx', 'Dd1Lund', 'Dd1Idx', 'Dd2Lund', 'Dd2Idx', 'Dd3Lund', 'Dd3Idx', 'nK', 'KLund', 'KMCIdx', 'npi', 'piLund', 'piMCIdx')" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n" + "('nTracks', 'R2All', 'thrustMagAll', 'sphericityAll', 'mcLen', 'mcLund', 'mothIdx', 'dauLen', 'dauIdx', 'nB', 'BCosSphr', 'BCosThetaS', 'BCosThetaT', 'BCosThrust', 'BLegendreP0', 'BLegendreP2', 'BPFlow0', 'BPFlow1', 'BPFlow2', 'BPFlow3', 'BPFlow4', 'BPFlow5', 'BPFlow6', 'BPFlow7', 'BPFlow8', 'BR2ROE', 'BSphr', 'BSphrROE', 'BThrust', 'BThrustROE', 'BpostFitDeltaE', 'BpostFitMes', 'BpreFitDeltaE', 'BpreFitMes', 'BLund', 'BMCIdx', 'Bd1Lund', 'Bd1Idx', 'Bd2Lund', 'Bd2Idx', 'nD', 'DMass', 'DMassErr', 'DLund', 'DMCIdx', 'Dd1Lund', 'Dd1Idx', 'Dd2Lund', 'Dd2Idx', 'Dd3Lund', 'Dd3Idx', 'nK', 'KLund', 'KMCIdx', 'npi', 'piLund', 'piMCIdx')\n" ] } ], - "prompt_number": 5 + "prompt_number": 6 }, { "cell_type": "code", @@ -160,7 +159,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 6 + "prompt_number": 7 }, { "cell_type": "markdown", @@ -183,18 +182,11 @@ "output_type": "stream", "stream": "stdout", "text": [ - "0.225378" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n" + "0.225378\n" ] } ], - "prompt_number": 7 + "prompt_number": 8 }, { "cell_type": "code", @@ -213,32 +205,12 @@ "text": [ "[ 11 -11 70553 -511 511 413 -14 13 -411 211 411 111\n", " -211 -211 321 -211 211 211 211 -321 22 22 -211 13\n", - " -14 2112 2112 -211 -211 211]" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "11" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n" + " -14 2112 2112 -211 -211 211]\n", + "11\n" ] } ], - "prompt_number": 8 + "prompt_number": 9 }, { "cell_type": "markdown", @@ -246,7 +218,7 @@ "source": [ "##Important information about plotting\n", "\n", - "You should visit [matplotlib gallery](http://matplotlib.org/gallery.html) normally what I do when I want to plot something is to find something that resemble what I'm trying to plot and look at their code." + "You should visit [matplotlib gallery](http://matplotlib.org/gallery.html). Normally what I do when I want to plot something is to find something that resemble what I'm trying to plot and look at their code." ] }, { @@ -259,7 +231,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 9 + "prompt_number": 10 }, { "cell_type": "markdown", @@ -281,9 +253,9 @@ "outputs": [ { "output_type": "pyout", - "prompt_number": 10, + "prompt_number": 11, "text": [ - "(array([ 15, 67, 192, 361, 473, 557, 571, 591, 511, 462]),\n", + "(array([ 29, 132, 382, 725, 932, 1151, 1150, 1184, 1044, 911]),\n", " array([ 0.01700407, 0.0652969 , 0.11358973, 0.16188256, 0.21017539,\n", " 0.25846822, 0.30676106, 0.35505389, 0.40334672, 0.45163955,\n", " 0.49993238]),\n", @@ -292,13 +264,13 @@ }, { "output_type": "display_data", - "png": 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+ "png": 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"text": [ - "" + "" ] } ], - "prompt_number": 10 + "prompt_number": 11 }, { "cell_type": "code", @@ -310,7 +282,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 11 + "prompt_number": 12 }, { "cell_type": "code", @@ -332,13 +304,13 @@ "outputs": [ { "output_type": "display_data", - "png": 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v42jSpAnmzJmDF154AZs3b8Z///tffPfdd/j8889NlhsyZAhWr14teqBEVLur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\nq22Zy5cvWy1GW9KQfCoUChw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UqVPh4OCA1atX6/VqXFxckJubq1tWKBR8eBARgA9iP0DLJi3xQY8PpA6l1jRa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\nCxcuxIABA2rcnxc7/q66XC5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"text": [ - "" + "" ] } ], - "prompt_number": 12 + "prompt_number": 13 }, { "cell_type": "markdown", @@ -360,20 +332,20 @@ "outputs": [ { "output_type": "pyout", - "prompt_number": 13, + "prompt_number": 14, "text": [ - "" + "" ] }, { "output_type": "display_data", - "png": 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r1Aokrq6q3+mrr5qn3FpwdVW1X1dXNTOBCZ1mGgWTBxbdfPPN3HzzzQD4+fmx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\n6UZ0GMHG4xvZfW43AHd2udP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13HogC02D5cvVA0EAc+ZARIQkeTsjSV6UycmTqtRAzlPbly+rnFLWek4nuwxk\n5G9HcdlvICU9hXf6vcOTXZ40XcBmtjtyN3d9eRfuLu5omoZep+fCcxfKvsMuXdQwcA4O6sSuWgX3\n3Vfy948fr2pC5Ny1nj+/8O10Ohg+XL1+++2yxytsliR5USbXrkGbNnDsmJp3cyvfw3rZDql80Hkr\nk/p3Y9a2WaRmpJom0DK4cv0Kyw4uI/PG0GvuLu5M7ToVnU7Hz+E/Exobmrvt/a3up3Wd1qRmpHJX\no7vYOn4rKekpeC/xLl8QqamqoJafn+pBk1rK85GaqsZLzVvsJ0dkpLpxm51dcN2KFary2759MHRo\nmUIvVEKCOubNwsJMdwxRqIr1e1gICwj7L4ylB5eSnp1OenY607dMz034S35fQnhCOOnZ6Wz7dxvr\n/l5n5WhLqW1bVfEtPV19K7/zjnHdrFng7a3W9e6tHvU3BR8fte/09ILTiBGq+JcwG7mSF6IQDWo0\n4PXe6sozaE/+wW8mtZ9E70a9eWXnK9YI7dZuv111sQS4eBFmziy4jYfHrUduGT7c2HRjSs7O8PLL\npt+vKBFJ8sKiLl401uTy9FR5SZjIn3/C/v3qDrher67KRaUnSV5YTOPG0LQpfPqpag7evl11AhEm\nVK+eGt1IiBskyQuL8fU1Fl3MyABXV+vGI0RlIEleiBKISo7CoDeQlikF8oXlXEuDqKjy7UOSvBDF\nCPAK4M4v7gTAQedAnapSTEeYXw132L8PJpez85EkeSGKcXjyYWuHICqhDu2hQy944cXylZqXfvJC\nCGHHJMkLk3B1VcX1atVSD0xWhJuqM7fOpNZbtXKnd39/19ohCWFy0lwjihQeDidOGOc7d1ZP2t8s\nIkKVOgDVRdvEw1SWWbaWzU/hP5GelQ6Aq8GVAU0HoNPpOJt0liX9ljC4+WA+OvQRUcnlvMMlhA2S\nJC+KNHcunD6tuj+ePg133AHLlhXcrmpVNdmaMwlneGDtA9zTVA04uzF8I9HPRFO7qho8ubpzdWq5\n1sLNyY2ktCRrhiqEWUiSF0XSNHjmGTWg/Ycflr6e1OZTm3n7d2N1w7sa3cWcnnPQ6dQDUXffrZZf\nawrmqCysoVGvWj3WjFLldOssroOGZvoDCWGjJMmLUklKUlf0586VbPsjsUfwcvPi4fYPczzuOBvD\nNzKn5xwcHeH3340lz2NOQIvmxe8vOjk6t6+6k4MTvjV8y/hJ7E82GmcT/yU7qxp6nZ5G7o3Qladb\nhrALkuR/HE3/AAAgAElEQVRFiTVqBO++C/eolo8S151p5N6IuxvfjaPekY3hG3OXd+1q3KbaWVU6\nvShJaUn4veeHn7sfAJGXIwmfGk4jj0Yl/xB2LCU9hWGrhpHqaiDmSgzrx6ynb5O+1g5LWFmZk3xS\nUhKPPvoof/31FzqdjhUrVtCsWTNGjx5NZGQkfn5+rF69Gnd3d1PGK6xo4EA1WUtGVgYeVTw4Pe00\nAC2WteD1317Hs4q6y/tE5ydo6tnUegFaQ2wsPPssAC4ZGrsf3k0NL18GfTMo92azqMA2bYJLl8q1\nizK3gk6fPp2BAwfy999/c+LECVq2bElQUBB9+/YlPDycPn36EBQUVPyOhCijoD5B+Nf2x9vNm12R\nu/gt8jdrh2RZzZrBK6+oapPe3jw/xKV8YzAK2zJ+PNx7b7mriZbpSv7y5cvs3r2b4OBgtRNHR2rU\nqMGGDRvYtWsXABMnTiQwMFASvTCb+1oZh8ML+698IwxVc6rG0oNL+fTIp2RpWdzewDw1kA/HHOab\nyM/4NPkFhp/IZEZcQzqUdWcuLjB9eu7siszXmSdt8PajdWs1ATz3XJl3U6YkHxERQe3atXn44Yc5\nfvw4nTp14r333iM+Ph4vLy8AvLy8iI+PL/DeuXkGLAgMDCQwMLBMgQthSo92fJSxbcfmzjs7OJvl\nOFczUhnUbCDzn/2KI+88h9vn38PXX6uV9euD/H8QQEhICCEhISbZV5mSfGZmJqGhoSxbtowuXbow\nY8aMAlfsOp2u0Dv7c281Ko0QVqTT6XBzcrPIsRwdHHFzciOldVPivN1otmmTGpP18OHylxwUduHm\nC+B58+aVeV9lSvI+Pj74+PjQpUsXAEaMGMHChQvx9vYmLi4Ob29vYmNjqVNHqvXZq/iUeMauHUtG\ndgagmjs2jN2Ao96RBbsXsPn0ZgDOXT7HQ+0fMns8DnoHFu5ZyIpjKwCY0G4CkztNLnS7Id8OwcnB\nibD/wpgYMNHssd3KlUb1+WrabfQc8TVER8Ntt1ktFmG/ypTkvb29adCgAeHh4TRv3pzt27fTunVr\nWrduTXBwMLNnzyY4OJhhw4aZOl5hIpmZqmSBduO5IA8PNajQzdL1SURfP89fF9S8bw1fqjlXIzYl\nlnOXz7HiXpVU+63sx9HYo7gaXPn51M/c1/I+utXvBkCbOm3M/nne6P0G4ZfCAfj51M9sPr2Z2xvc\nztmks/m22/HgDi6mXgTU1XvX+l1v3lWJGdIy0J09w2ndei7HhlLtihl7s0RHw19/QUyM+Y4h7FKZ\nu1AuXbqUcePGkZ6eTpMmTVixYgVZWVmMGjWK5cuX53ahFLZp3Tp47DHw8YH0dJXsT58uuF2o1zRC\nzu/gizU1SLiWwOjWo3nvnvcAcHNyo2fDngD0atiLh9Y/BIBep+eepvdYJLnn8HLzwstN3Q/K0rLY\nGL6RUWtGAdDNp1vudq1qtzLZMe/96TQ+X/5IYrV13HE9m7bNfOFJk+3eqF07+PJLNQFMmWKGgwh7\nVeYkHxAQwKFDhwos3759e7kCEpaRkQGDB6t7fpGR0KtX4dtl6zJ4oNZilj4+lg8PfkjYxcJ7sWwd\nv9WM0ZZOoF8gf035y+zHCfBsBc8HUPOVV2DrVuq98455DjR7tpqEKAMpNSyEEHZMyhqIAjp3huPH\n1evMe8G1vWn2W82pGrvP7cbwugEAr6peRM+MLvI9u87uou9XfdHQ0DRNShgIUUqS5EUB8fFw8iQ0\naADjf4T2LY3rwv4LY3nocs4ll7BCWR6d6nXi+svX0TSNjOwMagTVKPY9CdcSGNBsAGtGqiqSenOU\nqhTCjkmSF4UyGNSkz5NTb/e9ndC4UPZF7wNgUodJpd6vo770/+T0Oj0GB0Op3yeEkCQvSqG9d3uW\nD11u7TAqnmnTVF1loOOp0xxu7W/lgERlIkm+ksrU0klw/ovQWI3YS5BqqEloaENAdakUZZCcDKGh\n6DNS8UvINi7/7TdVKbJFCz7e+xbVOnaldyFvz8jO5I/YUADaZGfgZJmohZ2TJF9JHU75gV99niB+\nQyOupV/nyvA0Hn30DABNmoBUiC6lBg1Uv9RHH8U5M4M9p67Bkjzr27SB9u05958XLV0Kpu8LVy+Q\nfjWeRzc8CsC6KzG4XInDGz/LxC/sliT5SiqLTOpdHUjo418TmRRJry96ERpq7aiMvg/7npOXThKR\nFGGxmjIlsmJFbtMLhw7B/fer1/7+qvYMcC0hDse6dUu126zsLDzTdIQe6QzA1dRjJGqZJgtbVF6S\n5IXNebzT47So2QKAzvU607FuRytHlMeXX0KHDtCypepr2q/fLTfN1lSTje7GVJSsul68ONyd9zur\nJP9qyjqerl+6LwohCiNJXtic5jWb07xmCQZ8tZYhQ6B3Ya3qikFvIANwnK/+e4XGa9S8HEUDinjg\nQK9nbWdX3p+siqqtTV3A08WNhyhECUiSF8LEnB2dccaJ7NrvAhCfNoOkjNRCtz2VcIqPDn1E4rVE\nS4YoKhFJ8kKYmqsrzJgBf/4JwPYONWjrW7DEZ5d6XbjN5zb+vKC2e+a2ZywapqgcJMmLAsasGZM7\nnF7k5UiGtxpu5YgqGL0eFi3KnV38v318Ub1agc2aeDbhw4EfWjIyUQlJkhcF7I3ay/Khy/F280aH\nzqTlefPK1rLZF6Wenr1y/YpZjiFEZSdJXhSqVa1WNKjRwGz7d9A70L9Jf57d9iwAtVxrUa9aIaOW\nCCHKRZK8sAq9Ts+mcZusHYYQdk+SvBA26lrGNVJv9MpxNbhaPRYNNVakQW+QgnEViCR5IWxQ/er1\n6fRpJwCuZ13nx9E/MqTFEKvEsjNiJ3d/dTfODs5oaHhV9eLsjLNWiUWUniR5ISxg5YmV7IzYybG4\nY7Ss1bLY7fdO2pv7ety6cSRfTzZneEW6kn6FQc0GsWHsBhKuJdD0g6ZWi0WUnozAIISZTes2jSwt\ni3PJ5+hSvwt3NbrL2iGJSkSu5IUws7IMrlJeTg5OTP5pcm5xtxfveJGH2j+UbxtN0+i+vDuJaepp\nWwedAxvHbqSJZxNLhyvMSJK8EMU5ehSSktTrROuWH0hJT+HQ+UO58/Wq1aNFrRYFtltx7wriU+IB\n+OTIJ5y8dLLANhoaB84f4J+n/gFgzNoxxF+NlyRvZyTJC1Gc7t2hWzf1JGutWuDnZ7VQvvnjG+aG\nzKVFrRakpKeQkZXBsSeOFdjO3cUddxc1KEBt19okpxfepq9Dl/slUcWxivkCF1ZT5iSflZVF586d\n8fHxYePGjSQkJDB69GgiIyPx8/Nj9erVuMvIE8KWrVgBW7YY5x98EAYNKrhdVhZs364GvbWyrOws\n7m15Lx8P+pg/4v/ggXUPWDskYePKfOP1/fffx9/fH51OVcoOCgqib9++hIeH06dPH4KCgkwWpBBm\nsXEj1K+vBv5wcoJff7V2REKYXJmSfHR0NJs2beLRRx9F09QDEhs2bGDixIkATJw4kR9//NF0UQph\nLnfcAaNHq4FAhLBDZWqueeaZZ1i8eDHJycZ2vvj4eLy8vADw8vIiPj6+0PfOnTs393VgYCCBgYFl\nCUEIgRobduHuhQCkZaaVe39fHv+SXWd3ATDCfwTNajYr9z5F6YWEhBASEmKSfZU6yf/000/UqVOH\nDh063DIInU6X24xzs7xJXghRdo09GvN4p8dzb6q+2utVqjkXLGlcUjNum8HRuKMkpyezI2IHDnoH\nnr/9eVOFK0rh5gvgefPmlXlfpU7y+/btY8OGDWzatIm0tDSSk5OZMGECXl5exMXF4e3tTWxsLHXq\n1ClzUEKI4lV1qsr83vOL3c7Z0ZkP93zIN398A8CApgP43+D/FdhuVOtRjGo9CoDnf5Hkbi9K3Sa/\nYMECoqKiiIiIYNWqVdx111189dVXDB06lODgYACCg4MZNmyYyYMVotSys2HHDtWLZssW+O03a0dk\ncdO6TeOPJ//gt4d+Y3HfxbkDwojKodz95HOaZV544QVGjRrF8uXLc7tQCmF1//4LgwdDr15qfscO\niIlR/d0rCUe9Iw3dGwJqpC9RuZQryd95553ceeedAHh6erJ9+3aTBCVK58wZeO45ddEK4OMDy5ZZ\nNyabkZ2tTkhOf/g6dYwnSpSaDh1X0q8wbJX6pW5wMPDZkM9yH7wStkeeeLUDJ0/C2bPw6quQmgpP\nPFH6JJ+VnUVcSlzua2G/0rPSiUuJI1sr/ZedRxUPNj2wiasZVwGYumkqsVdiCyR5TdOIv2rsYefm\n5JZbR0dYliR5O+HtDcOGQXIZKtJWc66Gg96B9v9rD4CLo0u5emkI21XbtTZRyVG5f9f+tf1LvY++\nTfrmvn7x1xcL3eb7sO958IcHcXdxJzM7E283b/6c8mfZghblIknezn33Hfz9t3F+wgRoclP9Kc8q\nnkTOkLZafv8dcrr4tmunnoS1M61qt+L8zPNmP861jGuMbjOa4GHBnEk4Q7+V/cx+TFE4qSdv5958\nE3KeS/vpJ9i2zbrx2KxBg6B/f/U6OhoWLbJuPEKYiFzJVyCPPAI//2ycX7IExo8v/n1PPqkuTG/x\nELL92boVbpTYIDNT1acpTosWxqv4Awdg2jSzhSeEJUmSr0BOnYKPP1aVbxcsgHPnCt8uIwNySgdd\nvmy5+GzG+fMQGAjvvafm3Sr+Db/DsYep6lSVY/HH0Ots6wf49n+3F6hXfyT2iJWiETeTJF/B1Kyp\nbrLeKm+5usLw4fDFF2q+a9eSXcjaHVdXdaLsQL/G/fjhnx+ISIwA4IG2tlNeeKT/SH6NKLx65wj/\nERaORhRGkrydcXSElSutHYUwpYntJzKx/URrh1GokpRVENYlSd4OaJrGNadoIpNUv2c3JzdqutYs\ndNtLlyAyEq5csWSEFnDtGly4oF5fvFj0tlFRavvUVPPHJYSVSZK3A8ev7OC3gEH0+sKLbC2btMw0\n/nvuvwLbNWsG778Pn30GVxtDvUDLx2o2M2fC6tXGdqwnnih8u4AAY9dIna6StmWJykSSvB3IyL5O\nzeS7iJy3ieTryfi841PodjNnqgng6xOw6bQFgzS369dh8WKYNKno7X75xTLxCGEjbOs2vRBCCJOS\nK3k7Y9AbuJ51HY9FHoWuX3HvCoa1lDLQRXJ1hSNHwOPGOXR0BH3luh6qaqjKayGvsXDPQtKz0hna\nYqhZjjNz60xWHFuRO/9Sz5d4tsezZjlWZSVJ3s5UMVQh4fkE0rPSC6ybtW0WsVdirRCViWiaemw3\n54apkxMMHQoODqY9Ttu2kJAAWVnG45j6GDbu5V4vM62b8YEwcxUXO3f5HO/2f5d7W9zLx4c/Jjo5\n2izHqcwkyduhqk5VqUrVAsudHZ2tEI0JXboEI0aoSmwAmzapK+7mzU1/rOrVTb/PCsRB74BHlcJ/\nDZqam5MbHlU8cDW4WuR4lY0k+Qok0m8+M47upEYE/GuA3tnPAwNK/H4HnQPv7n+X1WGriUuJo0u9\nLuYL1hw0TSXf775T8y1aqGXCLjjoHFgTtobj8ccLrKvhXIO1o9bioK9cv6hMQZJ8BZLkuZ2hte7n\n/h4BPH3m/4jRjlKaJP9Kr1cY3mp47nzzmma4AhaijCa2n0ibOm0KXddvZT8ysjMkyZeBJPkKpnm1\njvRu1IvqWum7Anq5eeHl5mWGqIQov+rO1endqHeh6xx0ktzLSpJ8BXbyJDzzDOy/BBT+gKsQNuFi\n6kWe2foMAFUcqzAvcB4GB4OVo8ovIyuD10Je41rmNQCcHZyZGzgXF0cXK0dWPpWrX5gdadNGTb6+\n6s/Gja0dkRCF863hy4K7FuBb3Rff6r4sPbiUi6nFlJ6wgoupF1l6cGlunJ8e+ZSYKzHWDqvc5Ere\nxvz9t6ocmdN7z8NDjWGh0+XfrlYt8KsHz/SETafg/EHLx2o2ixfDa68VXK5pUK+e5eMR5WJwMPBU\n16dy59/a91a59jfhhwmsDVubO/92v7d5ssuT5dpnDjcnN57prn5xLD241CT7tDZJ8jYmKQlatYKQ\nEDVftarKbTcnebsWFwevvALTpxdcZ7Ctn/jC8mKvxLJ65GruanQXb+5+M9+A4SVxOuE0+6L25c53\n8O5AW6+2pg7TZkiSt0EODuqhS6hkyT0vJyfjSRDiJi6OLrgaXDHoS/+lv/TgUvZF7aNVrVacTTqL\nl5sX34/83gxR2oYytclHRUXRu3dvWrduTZs2bfjggw8ASEhIoG/fvjRv3px+/fqRlJRk0mArg7hr\n5/ira096LO9Bj+U90MYOQiukL7iD3oH/Hf4fPZb3YNa2WTjq5ftaVAwOOgeGfDuEHst7sPPsTqv0\nnBnfdjxf3vclT3d92uLHtrQyZQaDwcC7775L+/btSUlJoVOnTvTt25cVK1bQt29fnn/+eRYtWkRQ\nUBBBQUGmjtmu/Xf9PJmGRJb0+xSA26NvR0MD8l/Sz+o+iwFNjX3kG9ZoaMkwhSizHRN35N541aGj\nU71OVo7IvpUpyXt7e+N9Y2g1Nzc3WrVqxfnz59mwYQO7du0CYOLEiQQGBkqSLwOHzGr0aNBDzWiF\nt9e4u7gbtxGiAmles7k8iGdB5f6Nf/bsWY4ePUq3bt2Ij4/Hy0s9bOPl5UV8fMEbInPnzs19HRgY\nSGBgYHlDqJC+/x527jTOjx4Nd95Z+LZTp4JeB9eyLBObELZo2uZpOOod+efiP9YOxexCQkIIyel9\nUU7lSvIpKSkMHz6c999/n2rVquVbp9Pp0BVy1zBvkq/MVq5U40wHBKhxLH76qfAkr9OpfvB6HTRM\nMk8tLiFs3Vf3fcV/qWq0s3Ze7ehWv5uVIzKvmy+A582bV+Z9lTnJZ2RkMHz4cCZMmMCwG1UBvby8\niIuLw9vbm9jYWOrUqVPmwCqDgQPh3ntVR5LHHoO33watPriPzr/dlCkqya9aAVWqWCfWUhk/Hr75\nxjj/zjswY4bpj+PhAS1bqm9CTYMhQ0x/DGETRrYeae0QKqwy9a7RNI1HHnkEf39/ZuT5zzt06FCC\ng4MBCA4Ozk3+omiPPqoefsrMhD17oWWr/Os/PfIpnx75lNiUClIL/uJF9dMkMxPmzoVt2+DTT9W0\nd6/pjvP778YTl5UF991nun0LYSfKdCW/d+9eVq5cSbt27ejQoQMACxcu5IUXXmDUqFEsX74cPz8/\nVq9ebdJg7VnOwEP6m1q4Zt8xm9DYUADubnw3LWq2sHBkZaTXq6lvX/XI7uHDEBOjrvBN1NaITleJ\nHyQQomTKlOTvuOMOsrOzC123ffv2cgVUWYR7v8HMk+uY94maf+a2Z5gQMKHAdgv7LDR/MMnJ0L+/\nGgwbwMUFtm6Fm+6zlEn37moCldzlnowQFiVP0FjQmTNqVDmAC4ZD3OsxnqmDAwk+HszWM1tpWasl\nYf+FWT6wxESIiFAjLQEMGKDqK5giyRfln3/gyhX12tFR3YWuZGOpivI7f+U8h84fAsCnug91q9UF\n4O///iYlPaXA9vEp8TR2rzwV/STJW1CPHqq+lqMjZHeBAN8mdKzbkdgrsczdNZcpm6YAEOgXaPng\nnJ2hY0f12snJ/MfLzFTdhm409xEWBr/9Bp3kwRhRcm3rtOXnUz8zZdMULqddpolnEzaP28z1zOu0\n/bgtHep2KPR9kzpMsnCk1iNJ3oIyM2H7dqhZE+5dBX43HlId1HwQg5oPsm5wlpZTde2QugKjWzfV\nlFOnDhw4AA8/bNXwRMUw3H84w/3VaGe/nPklt8JltpaNwcHAoccOWTM8myBJvoyys43lgKGSFkfM\nzDSOsarXq8pqxcnOhowMNeX19ttqFBRQP3nuuce0sQpRSUmSL6OuXeHYMXUxmpUF69ZBpeoxevq0\nsY86qCaehATV7HMr7u5w8KCxuqRXnqEI77hDTUIIk5IkX0ZJSeq+YdOm8NBDav5m6emwYoX6E+Da\nNYuGaF4pKapN/dgxNe/mpq7Oi0ry7dtDWppl4hOV0rnL51h6YCnpWenWDsVmSJI3ozNn4IUX1AOg\nAE8/DTVqWDcmIexVW6+23NP0HsITwgF4qedLVo7INkiSNzNvb1hqH6OICWHTvN28ef+e960dRrHO\nJJzhvu/uI0tTN/U8q3jy20O/FVrryxQkyZuRpmlc8zzI7siCPx0vpV6yQkRCiNI4dP4Q55PPA9C5\nXmeqGEpePCo6OZqIxIjc+dZ1WuNZxZO4lDgc9A58e9+3ALT5uI1pg76JJHkzikw5xbm7Apmzo3OB\ndXqdniaeTSwekxCiZPo37c+yQ8sAOHnxJO/2f5dx7caV+P1TN00l/FI4NV1rEnU5igfaPsCCPgsA\ncDW40rpOa7PEfTNJ8maUpWVhuOrH7od3WzsUIUQpfTzo49zXD/7wYG7zyrG4Yyzetzh3Xbs67Zh9\nx+wC78/Sslh09yKGtBjCoj2LSEhLMH/QhZBnyE1M01THk5QUuJZq7WiEEKaSlplGSnoKv0X+RsyV\nGAY2HUi7Ou0IPh5covenZ6WTkp5Cakb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"text": [ - "" + "" ] } ], - "prompt_number": 13 + "prompt_number": 14 }, { "cell_type": "code", @@ -394,20 +366,20 @@ "outputs": [ { "output_type": "pyout", - "prompt_number": 14, + "prompt_number": 15, "text": [ - "" + "" ] }, { "output_type": "display_data", - "png": 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3bmTGjBlWCU44nqVL4dAhcHODO++EcePU602bqm/Ebm43P1asUNVab9SuHTzx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\n+VhvkJ6TTkpWCgB1POqUOGl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kpqncuqWS2969aph/5ijOvPqrW6KUFBV/cUfu+vrCihWqZseD/vMfo5dplSQv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\nX7/h+Ph4vLy8APDy8iI+Pj7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"text": [ - "" + "" ] } ], - "prompt_number": 14 + "prompt_number": 15 }, { "cell_type": "code", @@ -423,13 +395,13 @@ "outputs": [ { "output_type": "display_data", - "png": 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m8+bN+Pr6UlJSwuDBg/nll1+Ii4sjIiKCp59+mkWLFhETE0NMTIy9YhZOKNg3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\nr4+/nlu1gqeeAqMR/v738p9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W9x/mShu842jbVi0Azzxj8m5MSvJxcXHUr1+fiRMn8ttvv9GlSxfefvtt0tLS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\nRK5CYII=\n", "text": [ - "" + "" ] } ], - "prompt_number": 15 + "prompt_number": 16 }, { "cell_type": "markdown", @@ -452,7 +424,7 @@ "outputs": [ { "output_type": "pyout", - "prompt_number": 16, + "prompt_number": 17, "text": [ "array([[ 1.86307085], [ 1.8671999], [ 1.8658011], [ 1.89872372],\n", " [ 1.8583039], [ 1.86692679], [ 1.86692894], [ 1.87697983],\n", @@ -465,7 +437,7 @@ ] } ], - "prompt_number": 16 + "prompt_number": 17 }, { "cell_type": "code", @@ -479,14 +451,14 @@ "outputs": [ { "output_type": "pyout", - "prompt_number": 17, + "prompt_number": 18, "text": [ - "array([ 1.86307085, 1.8671999 , 1.8658011 , ..., 1.8546629 ,\n", - " 1.83830082, 1.86919248], dtype=float32)" + "array([ 1.86307085, 1.8671999 , 1.8658011 , ..., 1.83166409,\n", + " 1.83930147, 1.87473261], dtype=float32)" ] } ], - "prompt_number": 17 + "prompt_number": 18 }, { "cell_type": "code", @@ -499,13 +471,13 @@ "outputs": [ { "output_type": "display_data", - "png": 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VwcGDGTz22E4A7PbsgB/j2LEjfPzxxwCkp6eTlJREU1MTn3/+z/HlGRkZJCQk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\nLiJicQpyERGLU5CLiFjc/wesRi643ARTzAAAAABJRU5ErkJggg==\n", "text": [ - "" + "" ] } ], - "prompt_number": 18 + "prompt_number": 19 }, { "cell_type": "markdown", @@ -527,13 +499,13 @@ "outputs": [ { "output_type": "pyout", - "prompt_number": 19, + "prompt_number": 20, "text": [ - "array([ True, False, False, ..., False, False, False], dtype=bool)" + "array([ True, False, False, ..., False, True, False], dtype=bool)" ] } ], - "prompt_number": 19 + "prompt_number": 20 }, { "cell_type": "code", @@ -553,60 +525,14 @@ "output_type": "stream", "stream": "stdout", "text": [ - "1611" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "813" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "798" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "512" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n" + "3219\n", + "1621\n", + "1591\n", + "1052\n" ] } ], - "prompt_number": 20 + "prompt_number": 21 }, { "cell_type": "code", @@ -622,13 +548,13 @@ "outputs": [ { "output_type": "display_data", - "png": 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wEZLQhRDCRkhCF0IIGyFt6HXc0aPw+usVk/Hf6PJldSCFLTifd54Xtr6gazP1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\nWeDCE5ueqPXUzz4uPrz363u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XkZSVZNLrCMv64w/Yu7d0+4EHICio7uVqtfD558paAqAM1nvyyfo5XuNO8lRG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\nke0XthP8eTAarQZHe0dLhyS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"text": [ - "" + "" ] } ], - "prompt_number": 22 + "prompt_number": 23 }, { "cell_type": "markdown", @@ -697,7 +623,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 23 + "prompt_number": 24 }, { "cell_type": "code", @@ -712,13 +638,13 @@ "outputs": [ { "output_type": "pyout", - "prompt_number": 24, + "prompt_number": 25, "text": [ "array([ True, True, True, ..., False, False, True], dtype=bool)" ] } ], - "prompt_number": 24 + "prompt_number": 25 }, { "cell_type": "code", @@ -732,13 +658,13 @@ "outputs": [ { "output_type": "display_data", - "png": 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DD8CAAdWXeest2LtXub9tG0yZUrcYvvsOJk+Gc+fqVo+zeOedyumO77lHmdte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\n3auXMqE+QFDRTey9+AVPp67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Segj3N79f65BENVLmnfywYcPYvn07586do2HDhsyYMYNXX32VwYMHs3jxYoKCgli1Sn3w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\nIZyYJHkhhHBi/w8ugFb2jJNywgAAAABJRU5ErkJggg==\n", "text": [ - "" + "" ] } ], - "prompt_number": 25 + "prompt_number": 26 }, { "cell_type": "markdown", @@ -754,20 +680,20 @@ "hist([bb.R2All, cc.R2All], bins=100, histtype='stepfilled', alpha=0.5, label=['bb','cc'])\n", "title('Now they are aligned');\n", "legend(loc='upper left');\n", - "savefig('bb_cc_r2all_comparison.pdf', bbox_inches='tight'); #bbox tight get rid of all the padding" + "savefig('bb_cc_r2all_comparison.pdf', bbox_inches='tight'); #bbox tight get rid of all the paddings" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", - "png": 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L5eL666/n4Ycfpra2lkWLFlFcXIzNZmP16tUkJMjd21Cm15s4dqye2257CIDE\nRD2//e19GI0Da+id3W5n8eLHsNv9zx0OI2PHto/RaIzhjTfe5803/w3A9OnDufvu/P4M9YJ27drH\n5jO7MX/qv/ubMCGbsWNHhTmqvmeMNrJ281re2vIWAF6rJPWudJrQo6Oj2bRpExaLBY/Hw2WXXca/\n/vUv1q1bx7x587jvvvt45JFHKCgooKCgoL9iFgNQdHQC48Y9EHh+6lQBXq93wCV0t9tNS4sVm+2/\nO90vLe1i4GIAmprOUFv7Vj9EF5zWVjd6/XASEi6iqakMl6sx3CGFROqIVFJHpIY7jEGly8/EFosF\nAJfLhdfrJTExkXXr1pGf779byc/PZ+3ataGNUgghRJe67EP3+XxccsklHD9+nDvvvJOJEydSUVER\nWKElLS2NioqKDo9dunRp4HFeXh55eXl9ErQYHI4ePYrJZELTNEaMGNGtu/XKykrq6vxretbV1QJZ\nIYpy8Dh58iRVVVW0tAyt2vORruTTEvZ+vBdPg6fXbXWZ0HU6HXv37qWhoYFvfOMbbNq0qc12TdMu\n+KXM+QldDDUX8/jjBwBwu0v5+c8XMGZM8OPXX3zxbfbtUxiNZpSCuLihndB1qTr+793/A+CE5yRG\ny9C+HpEkZ2IOk62TefDeBwFYtmxZj9sKepSL1Wrl6quvZteuXaSlpVFeXk56ejplZWWkpko/l2gr\nN/fqwOOSkpeCGlVyPpdLMWzYPKzW3L4ObVDKnnJu7H9dfDMtp2LCGI0YqDrtQ6+urqa+vh6AlpYW\n/v73vzN16lSuu+46CgsLASgsLGTBggWhj1QIIUSnOr1DLysrIz8/H5/Ph8/n45ZbbmHu3LlMnTqV\nhQsXsnLlysCwRTEwKaXYsOEDWlv9iyAYDDrmzcsbckuWFRef5o033qG1tRWfr3vHejytHDq6jzfW\nvQFASekR0tK694njfFVV1bz77gckJQ1jx65/40gYOKvRnzhRhMvlLx+gaRojRw4fcCOVxIV1mtAv\nvvhidu9uX9kuKSmJjRs3hiwo0XfcbjevvPIRJtM3AGht/RfTp08mIyMjzJH1n6SkURQXOyku9j+P\njb2oW8e3ttbzadUuYkr9ie5EzQEu8XmAni1AfPp0Ne9UGEhKSubg4QaGfd3eo3ZC4cCBYjRtNJoG\nbvdp0tNTsFqt4Q5LBElmig4BOp2OrKxLASgpuXDp2UhlMsUG3n9P6Y0GssZ//kWk9u9ex5Sc/CUy\nMi7hRPGkDoHfAAAcdUlEQVQ7wMlet9eX4uP977OxsSrMkYjuGphzs4UQQnSb3KGLQUWn07Nr1wkW\nL36i3bbTp+vJytKHIaqBz42bv/z1LxhNRlpbWyG0Rf9EmEhCF4NKYuIozOa7OhwGmZ2tJzpa+ns7\nkjMjB3erG4UiiihyYnLCHZIIAUnoYlDRNA2zWcrFdpfBZMBgkh/3SCd96EIIESEkoQshRISQhC6E\nEBFCEroQQkQI+ZZEiF6w26vZt28f1dXVNDY2opTCarVSWlqK3d67GaBlZWX4Pq9ToNPpSE9Pj+jl\n5kTvSUIXoheKKnbx3LbNJKclc+zgMTh2KaNHf53q6mIqzWWMY1yP2nW5XGzffgxNSwdAqQq+8Y0E\nzGZzH0YvIo10uQjRK4qkkUnkTs/FkmrBYskmN/cqkpKm9LplTdNjtY7Bah2DpkmBLNE1SehCCBEh\npMtFtON2u1m16g0cDv+SWLW1dlJShnLfrUaLw8nOnZ+vwOT1suezZ9B0ehodNRw/7qXK3kRFRR1p\nDOXrJMJNErpop6Wlhc2bTxIX51+4JCZmJlFR8WGOKnxiYlLQdCOoqvL3ZyfMSKBGdwSA6NRcWjHh\nrNLR0qIYNuxL4QxVDHGS0EWH9HoDycmSnAA0TUd0VDwWyzD/C2f//gJXdBNGhtbCIWJgkT50IYSI\nEHKHPoR98MEW/vrXLR1ua23t+C60LxkMUezdW8Jtt/2y3TaHQ5GVFRXyGPqSzmBg37EX2Ff8Ik5n\nIzE2L+BfBvCDD7YFvpOor3Ogz+7ZakdCdEYS+hDW2NiMpl1JZuaMdtv6YwJLbGw6Y8f+vMNSuJqm\noWmD6wNkXFYWZPrfS2urhYRE/5J1Sinsdi9W61f9z62nMZulILnoe5LQhzwNnS58i0Jomo5Imfyo\naRpn34ym07X5pejfpJ3bT4gQkIQuRIh4PB7q6uo6/ATS2FiKx9OK292M0+mkrq4OAIvFQlRU33Q1\n2e123G7/pwRN04iPj0enG1yfeoYKt8vNiRMnet2OJHQhQsBgiKa62sCHH54CQKmUcxsTNXZVPQVA\nS1QtukpF1Yen8HhcjBwZw5QpE/okhm3b9tHSEoOmafh8di6/fBzDhoX+uxHRPVGWKIpainho1UO9\nbksSuhAhYDCYSUiY3OG2+JFZ5x5zbim45uYqfL7KPovB44G4uIvQ6Qw0Nn7SZ+2KvhUVE8WIvBF9\n0pZ8/hJCiAghd+hCdKC5uYoz5f8GwOWyo2jfDy7EQCMJXYgO1NUdZ0/DM0QlW8EIxtSYcIckRJck\noQtxAaa4eKy5ueEOQ4igSR+6EEJEiE7v0EtKSrj11luprKxE0zR++MMf8uMf/5ja2loWLVpEcXEx\nNpuN1atXk5CQ0F8xi15wufT84Q+vYjAYqa9vRKebG/Jzer16nnvuHUymD2hpaUbTpoX8nOdraDjF\n3iPP48M/FT8pdjSTx9/SrzEI0R86TehGo5Hf//73TJkyBbvdzrRp05g3bx7PPfcc8+bN47777uOR\nRx6hoKCAgoKC/opZ9EJOzrdxOptxOsFoBKs19OOSs7Kuw+ls4vM5LmRnJ4b8nOdraamjNvoYMSNS\n8TidVB490K/nF6K/dJrQ09PTSU/314COjY1l/PjxlJaWsm7dOrZs8Rd1ys/PJy8vTxL6IGEyxWIy\nxfbrOY1GC0ajpV/P+UU6gxFTbCyaXg8yYkVEqKC/FC0qKmLPnj3MnDmTiooK0tLSAEhLS6OioqLD\nY5YuXRp4nJeXR15eXq+CFeKL3O4WfD5Ph9tMpthu1U3x+Ty43S0AeDzOPomvP/h8PlwuFwB6vR69\nvvPaPEqpQEmAYI/pjMfjwefzAf4SA0ajrH/aHUV7iyjaW9QnbQWV0O12OzfddBMrVqwgLi6uzTZ/\nVbyOf2jOT+hC9DWPx8nft/0vbmNLu23K4+PLY+8hPb3j2Zod+fTwao7VvIdO5/+x0OcO/MRkMERx\n4kQ9RUW78Pl8pKREM3t2599RnDlzhp07T6DTGfD5fGRmxnLppcFfp/N5vV7ef38rHo+/HLBO52Lu\n3Esxm809am8osk2xYZtiCzzfUthxSetgdJnQ3W43N910E7fccgsLFviXJEtLS6O8vJz09HTKyspI\nTU3tcQBC9JRSPtx6B9ZZ7YcWNhw+dcE79wtx+5oxjY0hZhD9fzabkzCbvwKA2+2gtbXrKf4+nw9N\nyyI+fiROZyMu1/Een99/t6/HavXH0Ni4M3C3Lvpfp8MWlVLcdtttTJgwgXvuuSfw+nXXXUdhYSEA\nhYWFgUQvhBAifDq9Q9+6dSurVq1i0qRJTJ06FYCHH36YxYsXs3DhQlauXBkYtiiECK2qqipMJhMt\nLS1Ax8OEvV4P5eXlAEHfKbvdrsAx8oXx4NZpQr/ssssu+J9i48aNIQlICNGeTpfBnj0OwAGYsVji\n2+2j10fR2JjM9u31ACiV3uXiJQaDmYaGhMAxnFf9UQw+MvVfiEEgLq7rEgQ6nZ6EhLHdalevN5KQ\n8KWehiUGGJn6L4QQEULu0CNQfX09b765EY9H4fP58HiG3hqWCh9FZZspr9uLs7UBZZGRFyLySUKP\nQNXV1fz971XEx18OQFLSjDBH1P9ictOoazo3HC8mNqWTvYWIDJLQI1RUVCypqReFO4ywMZrNGGVy\nixhipA9dCCEihNyhR4idO//Ns8/+HfCPP3a7R4c5ooFJ0+mod57k7Q/vBMCsT2DOpUswGKLDHFlo\n+Xx6PvroIJqmoZQPGB7ukEQISEKPEE1NTTQ3X0pu7mwAdLqBX4ckHAxRUSRdNgaUfwJN4/ZSvF53\nxCd0q3UcSnkDz8/WqxGRRf5VI4hOZ4j4xNQXdOdVFuxONcbBzF9ET37cI538CwshuuTxeHA4HO1e\n93q9HewtwkUSuhCiS6dOlbB3bzkGQ1S7bUolhSEi0RFJ6EKILiml0OuziI/vugSBCB8ZtiiEEBFC\n7tBF2Hg8rZw+vZ2zJVsNBjPZ2TMBqK4+hN1eHtg3JWUiMTEy21P0jerqaux2e+B5amoqFkt4173t\nC5LQRdjY7RXsKvsz+gyTfxjhMS2Q0D879QYVln0YoqNprW1glu7/k4Qu+szBg6eoqopBr4/C6axl\n9myDJHQhessQbcZqy0EpRUNxcZttsRkZRFut1HuLwhOciGixsRlERcXT0BA5I3WkD10IISKE3KGH\n0apVr3PqVC0ABgPceus1pKenB338hg2b2L3bX1GwqakBTbs0JHEOJHZ7BfuOvIAPN0r58GjOXrXn\n0ZxsP/A4mk6P3VEGqUNjolF/a2pqYv/+o5xdAC0xMYaLLmq/sEZx8WlOnaoMPB81KpPMzOB/JoY6\nSehhtGPHcZRagNFoprp6I3V1dd1K6J9+eoqTJycRF5cJQFZW5Pcxt7bWU6kdwDIqGYB4Q1av2ouf\nnEWLpw4AHUaiY2N7HaNoz+FwUFlpwGKx4fW6aG09xkUdFAOtrW2kpmYYZnMizc1VpKQ0SULvBkno\nYRYXl4HJFEtjY89KvVosKcTHZ/dxVAObzmAiKr79mpo9YYyAL8IGC73eSFRUPB5P69lSOh0yGs1E\nRcXjcjXhX0NVBEsS+iDjdrsD0639VfOEGFi8Xi8ejwcAgyG8Kcbr9aI+/+2h0+nQ6SL7a0NJ6IPM\nAw88RlWVP5G7XDoyMmQRBzFw+HzRbNq0/+wzvvzlL5GWlhaWWJqamtiyZTder78Ym8UC8+ZdFpZY\n+osk9EGmttZFTs7P0On0Xe8sRD9LSLg48Lih4UhYi3d5vV58PitW6xSUUjQ1/TNssfSXyP78IYQQ\nQ4jcoYsec7sd1NWdCDyPjk4I2Re0dnsFlZWf0NR0JiTtDxROp5PKyspAH7QQ3SEJXfRYVdVBPjq1\nHEOcBZ/XQ6JzJHkzlvT5eaIS4zla9g5Hq94BwJDcvoRrJDCZYqisjKaqqhoATcsIc0RisJGELnrF\nkGTGOjYHV3Mz6mBo7irNSUmYkyK/5rbRaMFqnRDuMMQgJn3oQggRIeQOfQAqLS1ly5adHU6+cLlk\n7LkY/JxONwcOHGr3en19I5Dc43YbGho4daoMAJfL1ekEpkjUaUL//ve/z/r160lNTeXAgQMA1NbW\nsmjRIoqLi7HZbKxevZqEhIR+CXaoOHXqFGvXNpGY2H5udFzcl2TIohjUDIZoNO1LFBd3dHOSgMXS\n8+61+vp6PvvMjcXiL4MRHT20ZgJ32uXyve99jw0bNrR5raCggHnz5nHkyBHmzp1LQUFBSAMcqmJi\nUsnImNruT0rK+HCHJkSvxcSkEhub3uEfna53HQcmU2ygraiovikRMVh0mtAvv/xyEhMT27y2bt06\n8vPzAcjPz2ft2rWhi04IIUTQuv2rsKKiIjCVNy0tjYqKigvuu3Tp0sDjvLw88vLyuh2gGDrcOgcb\ntt0LQIu7Bosu8qtHDmRer45t2z5Bp9Ph8XjQtBH9en5N03HsWDnFxf5hnGlpVqZMibxRQEV7iyja\nW9QnbfXqs42maWjahetHn5/QheiMpmkkfWUM6vOC2fFaNnqTKcxRDW0JCRfh850tsuWvltifYmMz\n8HqHAeByNVNff7xfz99fbFNs2KbYAs+3FG7pcVvdTuhpaWmUl5eTnp5OWVkZqampPT65EOfTG/s3\nYYjOaZoOvT68v1TPnl+vd4U1jsGi2+PQr7vuOgoLCwEoLCxkwYIFfR5UpFJKUV1dTUVFBRUVFWEp\nf+ty2bHbKwJ/zt6B9bXW1obAOZqbK6XUrxiUWlpaaG5uprm5GYdj4Ndm7/QO/dvf/jZbtmyhurqa\nnJwcfvnLX7J48WIWLlzIypUrA8MWRXAaGhr42c/+hM/nH2fb2ppEQkL/TmPfeeBPVHk+RdMZ8Dld\nzBz5YzIzp/f5ef6569e0GGtA00Grj8snPkBS0qg+P48QoeLxePjggx34fDEAaJqDefMuJTo6OsyR\nXVinCf3ll1/u8PWNGzeGJJhI5/V68Xqt5OTcGbYY3KoZ84RhRMXFUX+0GJ8vNOVN3aqZuEsy0RkM\nNOwvQanIWVldDA1KKbxeI1ar/4ansXFHYLGMgUqm/gshRISQqf8h1tjYGJhlOxj64HrD7Wrh1Kmt\nAKgL3Pk7HDVUV/unfLe21vVbbCI8amtr8Xq9NDU1ARceERcMt9tFSUkJAHq9nsxM/+LodXV12O12\nwN+tCXG9Ok9fqqysxOl0Bp6np6djDOGX/5LQQ+z48eOsWLGPmJgxAERFReYSWIboaBozStjtfgYA\nLRc0ffsSBVVVB/m4+vdEJVhBD8asoTU1eyiJikrl+PFawA1EYzIldnXIBRkMZhobM9i92w2AUie4\n9to09Ho9R46UUFKix2g0A7GYzT2vBdPXdu06SmtrKjqdHre7irw8M8nJoYtPEno/iI3NJDd3XrjD\nCCmdXk/CSFtQ+0YlxpMwcnhoAxJhFx2dQHR039R50un0JCScm9jU0FAaeKwUxMRkYDYPzBLL8fE2\n9HojjY2h/4QufehCCBEh5A5dhJzSvHx64lUMJdE4WxshPIvAiyFM08Dtho8+2gdAY6MDk6l3ffoD\nkSR0EXKxY9JpbqkMPI+LzQpjNGJo0oiNvYSGhrOlDDRMptgwx9T3JKGLkDNER2MYwJMxxNAQFTVw\nRr+EiiT0Liil8PnOTVvX6XSdFiTrDZ/Ph9frbXM+IYQIliT0Lmze/CHPP78JTdNQSvH//t9kvv3t\nvq9f4/PF8OijrwWeGwxf6/NzCCEimyT0LjgcrRgM88jJmUV19SEaGvaG5Dy5udcA14SkbSHE0CDD\nFoUQIkLIHXoI1NfXB1ZyKi8vD3M0QoiuNDc3U1NTA4DFYsFsNve4rdra2kARL5+vbTGvpqamwHdw\ncXFxmPp4ERdJ6CHw3nv/5M03SzGbrQCYzRPDHJEQ4kKMRiuHD5dx+PAZPB4XI0ZEM3Vqz35mW1pa\n+PDDT9E0/wxZny8Ji8VfAkOvT+LAgRrAjtvdyqRJSYwZ07clpSWhh4DXq4iLm0lGxiXhDkUI0QWL\nJRnw11dxOKrx+S68TnJXlFJoWhTx8Re32xYTkwn4C4o1NpagVN+vwiR96EIIESHkDr2bSkvLeeON\nd9q9bjTqufLKr/V5n9gXnSjaiNPdBICGjpHD52IyxVLfcIqyyl2B/RLjR5CeNqVPznnq9NY2Mz3P\ncjRXoaRYoggDnw8OHz6OTqfR3Nzcp203Ndk5dOgoXq+P89ezUAqOHSvCaLxw2nS7PYRzDQxJ6N1g\ntQ6nvHwW77TP57S2buHLX54W0tKYAJ8UvwKjAE3DfdpBWvIkTKZY6mqPsb/lRczDhuFubiar/NI+\nS+iHTq/FkV6F7ot1nC1gsQ7MCncisplM4zh+/GyXxXBiYuL7pN3o6ASamrJpajp7nmHnnXM0RUUt\nQcQWvmJFktC7wWg0k5V1aYfbSkq291sccZmZaDodjVWn27weFR9PfFYWLbW1UNK354xNT5fp+2LA\niIlJCUm7Op2BuLiOaw0N1PK855M+dCGEiBARcYfe2NjI73//Ai0t/hooCQkm/vd/b0f/hRVzPvnk\nE1at+kfg+YwZo7nppqvatbd69Vvs3n0SgOZmB5rW9TT81lY9jzzyInq9noOH93OqxkvsKf9Hr1EZ\n32BEbvBT+aurD7H3eCHg74xLT5jCRV+6Oejjz+fzedm2+3e0ev3LvTW1niFG1/lHQo/HyUd7luP0\nNfqPcZ7BquX26PxCiI7oOH68jFOnqvu01YhI6A6Hg6IiSE39TwAOHfoTHo+nXUKvra2lpGQk2dmz\naGw8zcmTuzts79ixChob5xIXl4HFAomJ1i5jsNm+i8fTilKgtNdg1FZUqsJRVUWT40y33k9LSx2N\n1tPEDc/EZbdTe+pYt44/n1Jeqh2fETPDn8TjtEz0UVGdHuP1OqlxHSXmklQArFoOhi6OEUIELy4u\nE6/3Ql04G3rcbkQkdPAvUXW2j6uzaohGoxmzOQmns7HT9qKjrd3qMzMaLRiN/iEfJlMMelMURrO5\n/ReJQdIZDBjNZnxud4+Ob0vD2M2Zb5rW/WOEEMHRNA2Doe9/viImoX9RXV0dJpMJTdNISEjocclb\nn8/TJvkbjTEYDD2/W21tbUApL+D/AiYqqm++ne8pt9tBS0stACZTLHp9aIddCiFCJyITutudyQMP\nrP78WRMPPPBtRo4c2aO2Thb9g/1nXkRvNOHzerBZv8aUid/tUVutrfX8ffv9qGj/qim6VhPfmPXY\n56uV9z+9xcSB06s4ULkKr8fNqKQrmTT+P8MSixCi9yIyoY8e/d3A45KSVXi93h635VNudMNNxOfk\n4KiuxlPe2vO2fF580R6sM3MAaNh6KnC3Hg5xWRnw+Qit5spKPFXOsMUihOg9GbYohBARYkDcoVdW\nVrJ+/frA89jYWIYPHw6AwWBgypQp6HQ6zpw5w+nT/sk0zc3NFBUVBR43NtZ2+7x2eyM7duxo97rD\nYb/gMa0tDZSW+o8xmeJISRkPQE3NUVpb6z4/vgbOGxhTVfkZjOu4vbKyPe365BsaTkGQc3iqqz/D\n4aiisakUzuuOdzqbKC3dgc/nCa4hoLWljtLSHXg8Pf8U0pX6oiISbLaQtT+YyLU4R65F3+hxQt+w\nYQP33HMPXq+XH/zgB9x///09DuJf//oXS555kqjkYSivD3NNAjPG3waAz7eXFStGYbVaef/9bWzY\n0ILFMoyqqsN8Yn8dQ3w0Po+XRPtoJnaj4qXFkkJR0Rieeqr9OFClxpGZOazd66bYWKoTPqPGcRjl\n9RJVk8D8lBUA7D32PA1xp9Abjag4HzHW1MBx1ZWfdRiDLkfPXudz8MWia1EQndz1UEl9homDjWvA\nAcqsMCf5R+UYY2KoSzzOvx1P+c8zXN9ZM/73FhdHpfUTqhwHAdByQvO7Xn5wz5FrcY5ci77Ro59a\nr9fL3XffzcaNG8nKymLGjBlcd911jB8/vseBRCckkjl1Np7WVrx7POTm+if8lJQcDuzj80Fi4hTS\n0i5Gr0/mdPN+rGOH47LbMX4W063zmUwx2Gzzu3WMITqahDE2ALxuN86ac6NfFD7ibBkYLcFXq4rL\n7XiKcbBi0lKhgzlChqioQJzBMprN3T5GCDGw9KgPfceOHYwePRqbzYbRaOTmm2/mzTff7OvYhBBC\ndIOmVPeLPa5Zs4b33nuPp59+GoBVq1axfft2nnzyyXMN93DctxBCDHU9SMtAD7tcgknWPQ1ICCFE\nz/SoyyUrK4uSknP1WUtKSsjOzu6zoIQQQnRfjxL69OnTOXr0KEVFRbhcLv72t79x3XXX9XVsQggh\nuqFHXS4Gg4E//OEPfOMb38Dr9XLbbbf1aoSLEEKI3uvxTNH58+dz+PBh/vCHP1BYWMiYMWN45JFH\nOtz3xz/+MWPGjGHy5Mns2bOnx8EOdBs2bGDcuHEXvBaHDh3iK1/5CtHR0SxfvjwMEfafrq7FSy+9\nxOTJk5k0aRKzZ89m//79YYiyf3R1Ld5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0kVKqzz/bPl/J19XVcdttt7Fv3z40TeOll15i5MiRzJ07l6KiIrKzs1m+fDnR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\n9O9c5ppOR8QQfxC9wWDGYOj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F8cFsC3zn1NjYBbs9HwbDaL/LOYJZuVzHkghgGFMcycwsRnHxMtFlTMpkykiI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\nJdDr+SDvYAz5FhzvfQE4G9g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Hj/bBvMA+5u0SxSOGNKkqJSUfhYULAABOZyeAA+oWRCHTGY1IKyxU2pLfC8+h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\nGzaoUGn8CmUfv//++/K3v/3tUW034kf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"text": [ - "" + "" ] } ], - "prompt_number": 27 + "prompt_number": 28 }, { "cell_type": "markdown", @@ -824,27 +750,27 @@ "outputs": [ { "output_type": "pyout", - "prompt_number": 28, + "prompt_number": 29, "text": [ - "" + "" ] }, { "output_type": "display_data", - "png": 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NTq5y7gKfdyrVDSd7fT6aroQWPwO4vhEI+kPn+eTAxW4h6vTPwIMHD/Luu+9y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\nnHvuudTU1GCz2Vi2bBlffvkl/fuH+HS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K6REjRvDzn/+cM844A7vdzmmnncZNN91EeXk5U6ZM4YUXXgicgiUiErQajn0b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\nVW6qq3cDXQHo0uVa3G63uU3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APjU1NXK5XFcc69KABgAg3Hz75DMvL6/bx+jyEvepU6cCT2ifP39ev//97+X1epWRkaGi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\nAwBgQz3+NvX4+Hj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"text": [ - "" + "" ] } ], - "prompt_number": 28 + "prompt_number": 29 }, { "cell_type": "markdown", @@ -874,13 +800,13 @@ "outputs": [ { "output_type": "display_data", - "png": 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z89m1a5dfJGCAujpzcIRf/9p87anf/AaKi80Pyago6+MT/1NXBz/5ifl7/973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\nwcFCmpkRgqVCQ+++u7XZgPx8Ien1wnZ5ORAWJvx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sWEBwcDDR0dH2sovN0Svi6w4fhmuvhVtugUmT4LPPICoK4uLgJz/xdHQi4m0c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\nfvxR+BcA1q8Hrl0TJh5Rq4XrnNnYdzO0FbEzCp2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"text": [ - "" + "" ] } ], - "prompt_number": 29 + "prompt_number": 30 }, { "cell_type": "code", @@ -899,13 +825,13 @@ "outputs": [ { "output_type": "display_data", - "png": 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PVK/DbDYrx8DLL7+M3Nxc1cq+evUqLly4gNjYWIfee01al70fcN8983bmB6Mz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\nVKLuOsEyr+fL2Oxj+ebWJRsONk+nUXs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DwsLCHi9FuTu+LnPmzEF7ezuuXbvmivAAOBbjuXPnsGzZMkyePBkffPABsrKy\nUFhYKE18o0ePxqhRowB0dtq6e/euKp1y+uvUqVMoLCzE5MmTkZaWhmPHjmHFihWq12MwGGAwGBAf\nHw8ASElJQXl5uap1nD17Fk8++STGjRsHnU6HpUuX4tSpU6rWcT+9Xo/6+noAQF1dHfz8/DSp5913\n30VRUZEmBxuXL19GVVUVYmJiMHnyZNTU1GDatGn46quvVK/LYDBg6dKlAID4+Hh4enqq/vtRWlqK\nJUuWAOjcx0pLSwdc5t27d/Hcc89h+fLlygF1f757TRK0I+Mnk5OT8Yc//AEAcPr0aYwZM0Y5/XcF\nZ8Z4uuv+nyMxXrlyBUuXLsV7772HkJAQ6eK7fPmy8vfr+nEdN26cVDH+85//hM1mg81mQ0pKCt5+\n+22Xjfd1JL6Ghgblb1haWgohBHx9XTMXcE+ys7NRXV0Nm82GgwcPYu7cuUpbVpO/vz8CAwNRUVEB\nACgpKUFkZKSqdYSHh+P06dO4ffs2hBAoKSmB0WhUtY77JScnIy8vDwCQl5enydWQ4uJibNu2DQUF\nBRg5cqTq5UdHR6OhoUFpMwaDAeXl5ZocbCxevFgZ+VFRUYG2tjbVfz9CQkJw4sQJAMCxY8cQFhY2\noPKEEFi1ahWMRiPWrVunbO/Xdz+g7mp2FBUVibCwMBEcHCyys7OFEEK888474p133lFe89Of/lQE\nBweLKVOmiHPnzmkVSr9jrKurEwaDQXh7e4sxY8aIwMBA0dLSIlWMq1atEr6+viI2NlbExsaK+Ph4\nqeLbunWriIyMFLGxseKpp54SpaWlLo3PkRjv99JLL4kPPvhAqvj27NkjIiMjRUxMjJg9e7b49NNP\nXRqfPRaLRdNe3J999pmYPn26mDJliliyZInqvbiF6NxHjUajiIqKEitWrFB6DA/UsmXLxMSJE4WX\nl5cwGAxi37594tq1ayIxMVGEhoYKk8kkmpqaVK0jNzdXhISEiEmTJim/CWvXrlWljkceeUT5HPeb\nPHmyKr24e6qnra1N/OhHPxJRUVFi6tSp4vjx46rUcf93UlZWJmbMmCFiYmLErFmzRHl5+YDqOHny\npPDw8BAxMTHKd/DRRx/167v3EEKy7qFERESkzSVuIiIiGhgmaCIiIgkxQRMREUmICZqIiEhCTNBE\nREQSYoImIiKSEBM0ERGRhJigiYiIJMQETUREJCEmaCIiIgkxQRMREUmICZqIiEhCTNBEREQS6jNB\n79y5E9FQELnEAAAgAElEQVTR0YiKisLOnTsBAI2NjTCZTAgLC0NSUhKam5uV1+fk5CA0NBTh4eE4\nevSodpETUY8yMzOh1+sRHR390HPbt2+Hp6cnGhsblW29tdlz584hOjoaoaGhePnll10SOxH9h90E\n/fe//x2///3vUVZWhgsXLuDIkSO4fPkyzGYzTCYTKioqkJiYCLPZDACwWq04dOgQrFYriouLkZWV\nhXv37rnkgxBRp5UrV6K4uPih7dXV1fj444/x+OOPK9t6arNdK9CuXbsWubm5qKysRGVlZY9lEpF2\n7Cbof/zjH5g5cyZGjhyJESNG4Omnn8YHH3yAwsJCZGRkAAAyMjKQn58PACgoKEBaWhq8vLwQFBSE\nkJAQlJaWav8piEgxZ84cjB079qHtr776Kn77299229ZTmz1z5gzq6urQ0tKCGTNmAABWrFihtHMi\ncg27CToqKgonT55EY2MjWltbUVRUhJqaGjQ0NECv1wMA9Ho9GhoaAABXr16FwWBQ3m8wGFBbW6th\n+ETkiIKCAhgMBkyZMqXb9t7a7IPbAwIC2JaJXExn78nw8HBs3LgRSUlJePTRRxEbG4sRI0Z0e42H\nhwc8PDx6LePB5+y9loi667rcPBCtra3Izs7Gxx9/rGq5ANszkTOcbXd9dhLLzMzE2bNnceLECYwd\nOxZhYWHQ6/Wor68HANTV1cHPzw9A51F2dXW18t6amhoEBAT0GKTMj1/96lduj2EwxzcYYpQ9PiHU\nSaAAcPnyZVRVVSEmJgaTJ09GTU0Npk2bhoaGhh7brMFgQEBAAGpqavpsy+5oz+747lgn6xzooz/6\nTNBfffUVAODKlSv485//jPT0dCQnJyMvLw8AkJeXh8WLFwMAkpOTcfDgQbS1tcFms6GyslK5h0VE\n7hEdHY2GhgbYbDbYbDYYDAaUl5dDr9f32mb9/f3h7e2NM2fOQAiBAwcOKO2ciFzD7iVuAEhJScG1\na9fg5eWFvXv3wsfHB5s2bUJqaipyc3MRFBSEw4cPAwCMRiNSU1NhNBqh0+mwd+9eXgIjcrG0tDSc\nOHEC165dQ2BgIH79619j5cqVyvP3t0l7bXbv3r146aWXcPv2bSxcuBA//OEPXf5ZiIY14WJuqNJp\nx48fd3cIdskenxDyxyh7fEIMjrbijhjd8d2xTtY5UP1pKx7fvtFlPDw8+n09nggAvL190dLSpEpZ\no0ePxY0bjX2/0A0GQ1sZDDESyaA/bYUJmgadzkuwau1DXgDaVSpL3YQ/GNrKYIiRSAb9aSt93oMm\nGtraoV6yB1pa2OeCiNTBxTKIiIgkxARNREQkISZoIiIiCTFBE9GQ5e3tq0xHrNbD29vX3R+Lhgn2\n4qZBR91e3GqW1VmeWvv3YGgrsseo7r6ilCr1ZyY59aet9HkGnZOTg8jISERHRyM9PR3ffPMNGhsb\nYTKZEBYWhqSkJDQ3N3d7fU+LvxMREZHj7J5BV1VVYe7cubh06RK+853v4IUXXsDChQvx+eefY/z4\n8diwYQO2bt2KpqYmmM1mWK1WpKeno6ysDLW1tZg3bx4qKirg6fmf4wDZj7hJfnKfQas7rlr2tiJ7\ne+YZNMlC9TNob29veHl5obW1Fe3t7WhtbcVjjz2GwsJCZGRkAAAyMjKUhdx7Wvy9tLS0nx+HaDDq\nGletxoOIhjO7CdrX1xevvfYaJk2ahMceewxjxoyByWRCQ0MD9Ho9AECv16OhoQFA74u/ExERkXPs\nziR2+fJl7NixA1VVVfDx8cHzzz+P9957r9truno29qan59544w3l3wkJCUhISHAuaqIhyfLtg4io\njwR99uxZPPnkkxg3bhwAYOnSpfj000/h7++P+vp6+Pv7o66uDn5+fgDQ4+LvPS3yfn+CJqIuCd8+\numzpVymZmZn4y1/+Aj8/P/zf//0fAGD9+vU4cuQIHnnkEQQHB2P//v3w8fEB0Nmxc9++fRgxYgR2\n7dqFpKQkAMC5c+fw0ksv4c6dO1i4cCF27tzZ/49GRE6ze4k7PDwcp0+fxu3btyGEQElJCYxGIxYt\nWoS8vDwAQF5enrKQe2+LvxOR66xcuRLFxcXdtiUlJeHzzz/HhQsXEBYWhpycHACA1WrFoUOHYLVa\nUVxcjKysLKUjy9q1a5Gbm4vKykpUVlY+VCYRacvuGXRMTAxWrFiB6dOnw9PTE1OnTsWPf/xjtLS0\nIDU1Fbm5uQgKCsLhw4cB2F/8nYhcY86cOaiqquq2zWQyKf+eOXMmPvjgAwA9d+w8c+YMHn/8cbS0\ntCgH2CtWrEB+fj5++MMfuuxzEA13fa5mtWHDBmzYsKHbNl9fX5SUlPT4+s2bN2Pz5s3qREdEqtu3\nbx/S0tIAdHbsnDVrlvJcV8dOLy+vbh0+AwICeu3wyT4lRA+zWCywWCwDKoPLTRINI2+++SYeeeQR\npKenq1Ym+5QQPezBg9UtW5zvU8IETTRMvPvuuygqKsL//u//Ktt66thpMBgQEBCAmpqabtt76vBJ\nRNrhYhlEw0BxcTG2bduGgoICjBw5UtneW8dOf39/eHt748yZMxBC4MCBA0pnUCJyDZ5BEw0xaWlp\nOHHiBL7++msEBgZiy5YtyMnJQVtbm9JZbPbs2di7d6/djp179+7FSy+9hNu3b2PhwoXsIEbkYlzN\nigYduefiVjc22duK7O2Zc3GTLPrTVngGTZrz9vZFS0uTu8MgIhpUeAZNmlP/LIZn0LKQvT3zDJpk\nocl60EREROR6dhP0F198gbi4OOXh4+ODXbt2obGxESaTCWFhYUhKSkJzc7PynpycHISGhiI8PBxH\njx7V/AMQERENRQ5f4r537x4CAgJQWlqK3bt3Y/z48diwYQO2bt2KpqYmmM1mWK1WpKeno6ysDLW1\ntZg3bx4qKirg6fmf4wDZL4mR+niJu/9lyd5WZG/PvMRNstD0EndJSQlCQkIQGBiIwsJCZGRkAAAy\nMjKQn58PoOd5fUtLS50KiIiIiJzoxX3w4EFl/t6Ghgbo9XoAgF6vR0NDA4De5/V9EOfuJeqJBVwP\nmoi6OJSg29ra8OGHH2Lr1q0PPefh4WF3xaqenuPcvUQ9SYAa60ET0dDg0CXujz76CNOmTcOECRMA\ndJ4119fXAwDq6urg5+cHoOd5fTl/LxERkfMcStB//OMflcvbQOf8vXl5eQCAvLw8ZY7e3ub1JSIi\nIuf02Yv71q1bePzxx2Gz2TB69GgAQGNjI1JTU3HlyhUEBQXh8OHDGDNmDAAgOzsb+/btg06nw86d\nOzF//vzuFUre65PUx17c/S9L9rYie3tmL26SRX/aCmcSI80xQfe/LNnbiuztmQmaZMGZxIiIiIYI\nJmiiISYzMxN6vR7R0dHKtv7M/nfu3DlER0cjNDQUL7/8sks/AxExQRMNOStXrkRxcXG3bWazGSaT\nCRUVFUhMTITZbAYAWK1WHDp0CFarFcXFxcjKylIuw61duxa5ubmorKxEZWXlQ2USkbaYoImGmDlz\n5mDs2LHdtjkz+9+ZM2dQV1eHlpYWZRTGihUrlPcQkWtwPWiiYcDZ2f+8vLxgMBiU7QEBAT3OCghw\nZkCinlgsFlgslgGVwQRNNMz0NfufszgzINHDHjxY3bLF+ZkBeYmbaBhwZvY/g8GAgIAA1NTUdNvO\nWQGJXIsJmmgYcHb2P39/f3h7e+PMmTMQQuDAgQPKe4jINfpM0M3NzUhJSUFERASMRiPOnDnTryEb\nROQaaWlpePLJJ/HFF18gMDAQ+/fvx6ZNm/Dxxx8jLCwMx44dw6ZNmwAARqMRqampMBqNWLBgAfbu\n3atc/t67dy9Wr16N0NBQhISE4Ic//KE7PxbRsNPnTGIZGRl4+umnkZmZifb2dty6dQtvvvkmxo8f\njw0bNmDr1q1oamqC2WyG1WpFeno6ysrKUFtbi3nz5qGiogKenv85DpB95iFSH2cS639ZsrcV2dsz\nZxIjWag+k9j169dx8uRJZGZmAgB0Oh18fHycGrJRWlran89CREQ0rNntxW2z2TBhwgSsXLkSFy5c\nwLRp07Bjxw6nh2w8iMMyiHpi+fZBRNRHgm5vb0d5eTn27NmD+Ph4rFu3TpmBqEtfQzZ6eo7DMoh6\nkvDto4vzwzKIaOiwe4nbYDDAYDAgPj4eAJCSkoLy8nL4+/s7PGSDQzOIiIicZzdB+/v7IzAwEBUV\nFQCAkpISREZGYtGiRU4N2SAiIiLn9DmT2O7du/Hiiy+ira0NwcHB2L9/Pzo6OpCamorc3FwEBQXh\n8OHDALoP2dDpdN2GbBAR0cO8vX3R0tKkWnmjR4/FjRuNqpVH7tPnMCvVK5R8WAapj8Os+l+W7G1F\n9vY8GIZZadE+ZP5Ohqv+tBXOxU09UvuonoiInMMETT3qTM5qnqUSEZEzOBc3ERGRhJigiYiIJMQE\nTUREJCHegyYiGlJ0qg5v5bAt9+EZNNEwkZOTg8jISERHRyM9PR3ffPMNl44dktrR2cFTnQdHc7gP\nx0FTj9Qdmyn3WGOZY1OrrVRVVWHu3Lm4dOkSvvOd7+CFF17AwoUL8fnnn/d76VhA/vY8XMdBc1y1\nfFRfbhIAgoKCMGXKFMTFxSnTdvKom2hw8fb2hpeXF1pbW9He3o7W1lY89thjXDqWSGJ93oP28PCA\nxWKBr6+vss1sNsNkMilH3WazWTnqPnToEKxWq92jbiJyLV9fX7z22muYNGkSvvvd72L+/PkwmUwD\nXjoW4PKxRD2xWCywWCwDKsOhTmIPnpYXFhbixIkTADqPuhMSEmA2m3s96r6/oROR612+fBk7duxA\nVVUVfHx88Pzzz+O9997r9pr+LB0LcPlYop48eLC6ZYvzy8c6dAY9b948jBgxAj/5yU+wZs2aAR91\n84ibqCeWbx/qO3v2LJ588kmMGzcOALB06VJ8+umnytKx/v7+XDqWSDJ9Jui//e1vmDhxIv7973/D\nZDIhPDy82/P9OermETdRTxK+fXRx/oi7N+Hh4fiv//ov3L59GyNHjkRJSQlmzJiBRx99FHl5edi4\nceNDS8emp6fj1VdfRW1tLZeO7UbdYUxEvekzQU+cOBEAMGHCBCxZsgSlpaXQ6/U86iYaRGJiYrBi\nxQpMnz4dnp6emDp1Kn784x+jpaWFS8c6rWsYk1r4d6We2R1m1draio6ODowePRq3bt1CUlISfvWr\nX6GkpATjxo3Dxo0bYTab0dzc3G1oRmlpqdJJ7Msvv+zWsGUflkGdOMxKhvLkbyuyt2ethlnJu89o\nU57M3/Fgofpykw0NDViyZAkAoL29HS+++CKSkpIwffp0HnUTERFpiBOVUI94Bi1DefK3FdnbM8+g\n1SlP5u94sNBkohIiIiJyPSZoIiIiCTFBExERSYgJmoiISEJM0ERERBJigiYiIpIQEzQREZGEmKCJ\niIgk5FCC7ujoQFxcHBYtWgQAaGxshMlkQlhYGJKSktDc3Ky8NicnB6GhoQgPD8fRo0e1iZqIiGiI\ncyhB79y5E0ajUZm202w2w2QyoaKiAomJiTCbzQAAq9WKQ4cOwWq1ori4GFlZWbh375520RMREQ1R\nfSbompoaFBUVYfXq1co0ZYWFhcjIyAAAZGRkID8/HwBQUFCAtLQ0eHl5ISgoCCEhISgtLdUwfCJy\nRnNzM1JSUhAREQGj0YgzZ87wihiRpPpcbvKVV17Btm3bcOPGDWVbQ0MD9Ho9AECv16OhoQEAcPXq\nVcyaNUt5ncFgQG1t7UNl3r8edEJCAhISEvobP9EQYvn2oZ2XX34ZCxcuxJ/+9Ce0t7fj1q1bePPN\nN2EymbBhwwZs3boVZrNZWZ2u64pY1+p0FRUV8PRk1xUiV7CboI8cOQI/Pz/ExcXBYrH0+BoPDw+7\nK1b19Nz9CZqIuiR8++iyRdXSr1+/jpMnTyIvLw8AoNPp4OPjg8LCQpw4cQJA5xWxhIQEmM3mXq+I\n3X8QTkTasXsofOrUKRQWFmLy5MlIS0vDsWPHsHz5cuj1etTX1wMA6urq4OfnBwAICAhAdXW18v6a\nmhoEBARoGD4ROcpms2HChAlYuXIlpk6dijVr1uDWrVt2r4gZDAbl/b1dESMibdg9g87OzkZ2djYA\n4MSJE3jrrbdw4MABbNiwAXl5edi4cSPy8vKwePFiAEBycjLS09Px6quvora2FpWVlZgxY4b2n4KI\n+tTe3o7y8nLs2bMH8fHxWLdundLBs8tAr4jxlhVRJ4vF0uuVZ0f1eQ/6fl2Nc9OmTUhNTUVubi6C\ngoJw+PBhAIDRaERqaiqMRiN0Oh327t1rt7ETkesYDAYYDAbEx8cDAFJSUpCTkwN/f3/U19fD39+/\nX1fEeMuK6GEPHqxu2eL8LSsP4eKVuGVf4J06qbvQvcwL0ssdm9pt5Qc/+AF+//vfIywsDG+88QZa\nW1sBAOPGjcPGjRthNpvR3NysdBJLT09HaWmp0knsyy+/7HbQLXt7Vnc/VkpVuUz5y5P5Ox4s+tNW\nnDqDJqLBbffu3XjxxRfR1taG4OBg7N+/Hx0dHbwiRiQhnkFTj3gGLUN58rcV2dszz6DVKU/m73iw\n6E9b4YBGIiIiCTFBExERSYgJmoiISEJM0ERERBJigiYiIpIQh1kNEd7evmhpaXJ3GEREpBK7Z9B3\n7tzBzJkzERsbC6PRiNdffx0AuDydhDqTs1DxQURE7tTnOOjW1laMGjUK7e3teOqpp/DWW2+hsLAQ\n48ePV5ana2pq6jbzUFlZWa/L08k+bnKwUn+85/AZayxzbLK3FdnbM8dBq1OezN/xYKHJOOhRo0YB\nANra2tDR0YGxY8eisLAQGRkZADqXp8vPzweAXpenIyIiIuf0eQ/63r17mDp1Ki5fvoy1a9ciMjLS\n7vJ0968V29vydFz9hqgnlm8fREQOJGhPT0989tlnuH79OubPn4/jx493e36gy9MRUZeEbx9dnF/9\nhoiGDoeHWfn4+ODZZ5/FuXPnoNfrUV9fDwD9Wp6OiIiI7LOboL/++mulh/bt27fx8ccfIy4uDsnJ\nycjLywMA5OXlYfHixQCA5ORkHDx4EG1tbbDZbKisrMSMGTM0/ghERERDj90EXVdXh7lz5yI2NhYz\nZ87EokWLkJiYiE2bNuHjjz9GWFgYjh07hk2bNgHovjzdggULuDwdkWQ6OjoQFxeHRYsWAeCQSSKZ\ncbnJIYLDrGQoS+3y1G8r//3f/41z586hpaUFhYWF2LBhQ7+HTALyt2cOs1KnPJm/48GCy00SUa9q\nampQVFSE1atXKz8UHDJJJC9O9Uk0TLzyyivYtm0bbty4oWwb6JBJgMMmiXpisVhgsVgGVAYTNNEw\ncOTIEfj5+SEuLq7XH43+DJkEOGySqCcPHqxu2eL8sEkmaKJh4NSpUygsLERRURHu3LmDGzduYPny\n5cqQSX9/fw6ZJJIM70ETDQPZ2dmorq6GzWbDwYMHMXfuXBw4cIBDJokkxjNoomGo63L1pk2bkJqa\nitzcXAQFBeHw4cMAug+Z1Ol0HDJJ5AYcZjVEcJiVDGWpXZ78bUX29sxhVuqUJ/N3PFhwmBUREdEQ\nYTdBV1dX45lnnkFkZCSioqKwa9cuAJx9iIiISGt2L3HX19ejvr4esbGxuHnzJqZNm4b8/Hzs37+/\n37MPyX5JbLDiJW4ZylK7PPnbiuztmZe41SlP5u94sFD9Ere/vz9iY2MBAN/73vcQERGB2tpazj5E\nRESkMYd7cVdVVeH8+fOYOXPmgGcf4sxDRD2xfPsgInIwQd+8eRPPPfccdu7cidGjR3d7rj+zD3Hm\nIaKeJHz76OL8zENENHT02Yv77t27eO6557B8+XJlEoOu2YcAcPYhIiIiDdhN0EIIrFq1CkajEevW\nrVO2c/YhIiIibdntxf3Xv/4VP/jBDzBlyhTlUnVOTg5mzJiB1NRUXLlyRZl9aMyYMQA6pxTct28f\ndDoddu7cifnz53evUPJen4MVe3HLUJba5cnfVtRuz97evmhpaVKtvE7sxT3Q8mTfDweD/rQVziQ2\nRDBBy1CW2uXJ31bUbs9y78dalSl/ebLvh4MBZxIjIiIaIpigiYiIJMTVrNxIm/ttREQ0FPAM2o06\nk7NQ6UFkH+fWJxpc2EnMjdTtECNzRxPG1t+y1Gwrg2FufXYSk7M8/mYPHDuJEVGvOLc+0eDCe9BE\nwxDn1ifSlsVigcViGVAZTNBEwwzn1ifS3oMHq1u2OD+3vt1L3JmZmdDr9YiOjla2sUMJ0eDFufXJ\neTrlwE2th7e3r7s/1KBgN0GvXLkSxcXF3baZzWaYTCZUVFQgMTERZrMZAGC1WnHo0CFYrVYUFxcj\nKysL9+7d0y5yInIK59an/mmHeqNNOh8cXuog0QebzSaioqKU/z/xxBOivr5eCCFEXV2deOKJJ4QQ\nQmRnZwuz2ay8bv78+eLTTz99qDwHqhw2AAhAqPRQsyzGJkd5UHV/O3nypPDw8BAxMTEiNjZWxMbG\nio8++khcu3ZNJCYmitDQUGEymURTU5P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j4uKIi4vzJDS/cvfdsGePuXZxyRJo2tTuiETEX9zc7WYGnT3I7jCqLSvLVFd+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\nc4QTV7qr3OcnZEwgc1+mTdFJjbhcFeu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"text": [ - "" + "" ] } ], - "prompt_number": 31 + "prompt_number": 32 }, { "cell_type": "markdown", @@ -961,13 +887,13 @@ "outputs": [ { "output_type": "display_data", - "png": 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"text": [ - "" + "" ] } ], - "prompt_number": 32 + "prompt_number": 33 }, { "cell_type": "markdown", @@ -991,20 +917,20 @@ "outputs": [ { "output_type": "pyout", - "prompt_number": 33, + "prompt_number": 34, "text": [ - "" + "" ] }, { "output_type": "display_data", - "png": 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eGZVG8OAzEsGMDV54ZjSMWAg6tgwCQN7KWyzDotXQKtr75cqoVmpjkKvj8DuE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MB+eI4zgYxg2oUdfgy9d/OSEjPZ9KZaVgmejnfJ4gjPV3n4nbb/VaUSItidtm\ncpnQYelAtTL5k32RpAhvdL6BG6puiF2bkKWM/hWQRcfhd8QSjiJhFuvuOoOW2y/kJUADgEztQXm9\nCb2nkhch8XuEcI7lVo5UVZafMSbDcRz6Hf1oKm3C1zZ9raABGgBKpCUpW4VGuEjSZVhHB4+CBZty\n+ZdSpITJaUKnpTOvYyVksaIgTRadqWukr/vUSWx8JP8tUZs2X8Llw8krcnV81IQ//+SevN9zNiJc\nBH32PlxbcS2+tOFLkAqkBb+nRqwBg/iOWBN4LC8heSwYDuI9/XsolZWmva5UKMXe7r1pjyFkqaAg\nTRYdq9ea8gkuX5puvIyOIysRCSf+E9F/XIfaqxdO4Y1wJAy9TY/W2lb87XV/m9XStNngsTxo5Vp4\ng4l9sJN1w7o0dgnugHvGrPwSaQnOmM7A5DKlPY6QpYCCNFl0jE4jRLzCBiJ1uQNNN11Omine93Fi\nEROO49Bp6Zx1ZrLBYUC/vR/ugDuj44PhIPrt/bi/8X48sf4J8Nm5TTOpUlXBE/QkbJcIJAkFTd7r\nfS+jJ3yWYcFn+TigP5C3cRKyWFGQJouOyWUqeJAGgAe//jqUpfFJXjajGqEAHyXVY3HbvSEvZEIZ\nzK7c2056gh5IBBJ8du1nEQgH0Gfviy1xSsYf8mPAMYCta7Zi6+qt85JoVauqjT1J+1wivPb8QwCi\ny7BG3aMIR6JV1SweC86Zz2VcqEQr0+J9/ftwBVyFGTghiwQFabLomN3mrAqZ5JP+4zrUXtWH6XlP\nNq8NGys3QsgTxpYlZWvUPYqHmh7C7ctvxw/u/AH+97X/GyK+CHqbHhaPJa5WuTfoxZBzCNuv2o77\nGu6bt8YUWrkW+OTWQkkAFw+sRtAnAMuw4MDF6nsfHzoOhmEy/iAh4AkQjoTRNpT/fANCFhMK0mRR\nmcgaFvFFcFnlSfs/FxLLcmi+uT1hezgSxsbKjbi7/u6c3qX6Qj6I+WJsqtoEIBqkNuo24nu3fw9f\n2/Q1aOVa9Nn7YHKZ4PQ7YXab8fcb/h631t06r52jSqQlYD6J0iyPg2aZDdZPangzYGD1WhGOhLGv\nZ1/CcqyZFEuL8UbHGymLomRjooQpIYsNBWmyqIz7o0uYWIbFxQOrcewPN8zp/dfffQarbr4Ut43j\nOICJFve4re42sAyLYDiY1XXNLjMeWPkAJAJJ3HaWYdGibcG3N38b37nlO2gubYYz4MRXb/gqNlRu\nmPX3M1viYlApAAAgAElEQVQl0pK43tJTK49NdMPqtHTC7rNnnXEuE8pg89lwceTirMe5r3cfPuj/\nYNbXIWSuUTETsqjYffbYk5vdpIa6Ire+0vk07h9HjboGMmE0yWzL8i14t+ddVKky69ccCAcg5Alx\nc83NKY9hGAYrilbgSxu/hFAkNOcJYqlIBVLIhXIEI0EIecJokP6k0QbDMDC7zDg1firnjHOFUIE3\nO9/EWu3aWc0YdFg6wIBBa21rztcgZD7QkzRZVBw+R2z5lc2ogbrCNutrjvvH0WXpSjkd+sGuW2Ax\nFKUek9+Ba5ddG/v6juV3gAOX8TStyWXC3fV3Qy6UZ3T8QgnQEyqVlbEM76KqKY02BBK0j7bjxPAJ\nlErTr41OpUhShG5rN4adif2/s9Fn70v7/5iQhYqCNFlUbF5brHiG3aSGpnx2T9LeoBc2rw1auTZl\nJrHbJsOlQ80pr8GAQVNxU+zrYmkxbqm5JaNM72A4CJZhcVvdbdkPfoGoUdXEgnTj9V3Y9JdHAETX\nSvfZ+8BxXLTLVQ4mnp5nE6R9IR+sHivGA+OxRDZCFgsK0mRRMbqMEPKE4LhPnqRnEaSD4SCMLiM+\nf83nceeKO5OWsQSAps2XcfnDpqT7QpEQeCwvocvUXfV3IRQJJa3GNZXJbcKW5VugEqty+yYWgGpV\ndewdvLzIhbK6EQDRZViD44Npl131n63B0d+nzyvgsTz0O/pzHt+oexQsw4IBM+snckLmGgVpsqgY\nXUaI+WKEAnzUrO2HWJFY7SoTES6CAccAHm1+FDdU3YB12nXgkDwDuGZdH4Yu6XBw1y0J++w+O1aX\nroaAJ4jbXi4vxw26G2Byps70DkfC4DgOdyy/I6fvYaEokZYkfV/MY3loKmlKO41/6Dc34/3//za4\n7amTyuRCOXqtvTmPb8Q9EntFMuAYyPk6hMwHCtJkUZnoIy0QhfDYzt8mrFfOBMdxGHAMoLWuFfc3\n3g8gGlQr5BVJp7x5/AhkGhfaD65O2OcOuHFNxTVJ73Nv470IRAIpn6aNLiNurrk54wIfC1WxtDiW\nzDddugBtGSyGuVeL1a0XceK11JnqMoEMeoc+5/fJQ+NDYMBAJpDh0uilmU8gZAFZWBkohKTBcRws\nHsus+yMPOYfQXNKMz639XKy4BsMwuKX2Frxy4RUoRIkdrv72xV8k/UAwkXWdjE6pw9UVV6N9tD1h\nzBEugnAkjLvr757V97IQTG20kU3Vs9GBEmz89DGsu/McwsHU76wFPAF8QR8cfgfUYnXW4+u19UIq\nkEIpUqLLGk0em8+15YRkg56kyaLhDDgR5sI5JyEBwIhrBKWyUuzYsANCnjBu31rtWgBI+sQmL3JD\npomvp+0L+aAQKtJ+aLi/8X74Qr6Ea5qcJlyvu37WHzgWgnSNNtJpurEDmz/zIZSl49AsS5+lzzJs\nziVX+xx9kAll0WAf8sHiteR0HULmAwVpsmg4fI5ZPQHZfXawLIv/c/3/SToNWyGvQLm8PON60Tav\nDVdVXJV2THXqOjSXNmPUMxrbFuEiCEQCuK/xvuy/iQVKp9LFMrx7T9fhnRfuyuv1I1wkpyDtCXrg\n8Dniar1T8hhZTChIk0XD7rMj1w6VnqAHTr8TX7nhKyiTlSU9hmEYbK7ZDJs3s7XXgXAA67Tr0h7D\nMAw+tfJT8AQ8safpEfcIrq64GjqlLrtvYgGb2mhDKA6g/2xNXq8v5ovRY+vJ+rwR9whYlo19kGLA\noM/el9exEVJIFKTJomH32WNJWJ3HGhD0Z5ZSEQgHYHKZsOO6HViuWZ722PXl61NmeU81sX+m6wFA\nY3EjVhStiPbB5jh4g95YwtqVolxeHmu0UayzwmIoRj7rhsiEspyC9Kh7FJHIZOKeXCin5DGyqFCQ\nJouG2W0Gn+WDizD4wzNbwUWSTzNzHAdP0AOj04h+ez+GncN4rOUxXLMseRb2VBXyCpTJy+AOpu/n\n7Aq4UKmszGh9M8MweHjVwxj3j2PMM4bVZatRp66b8bzFZOoyLInSC74gBLctswpqU5m6tTD3aBO2\nSwVSGJ3GrJttDI4PxuUwKEQK9Np6Z1y/TshCQUGaLBpGZ3SNtMsqh0jmh1ASLaAR4SJw+BwYdAxi\nwDEQWwu7qWoTdly3A/9yx7/grhWZvSNlGAa31NwCqyd5YZMJdr89rhToTJpLm1GlqsKYdwyfWvmp\nKy67uFhaHFv3DQBFOmushvdUPpcYL3/9s4iEk3//hks6vPfi7QnbJ7LGxzxjCfvS6bX2QiaQxb7m\ns3wEI0GMukfTnEXIwkFLsMiiYXKZIOaLYTGqY5XG7D477D47VmhWoLW2FSuKVqBaVQ2lSJnzfdZp\n1+EPF/+QfqkOB6wqWZXxNVmGxaOrHsV+/X40FjfmPLaFSiqQQiFUxDfaGCpCzbr4SmFn3lkHicoL\nlpd8LnzdnWdx8KVbMdpXitLa+EDKgYPZZc44I57jOPQ7+pMuqRtyDkV7YROywFGQJosCx3EY84yh\nVFYKu0kDzSeNNcZ94/irNX+V1/XGyxTLYlPeybLAw5EwwAC16tqsrru+Yj1atC1X3FP0hCplFYZd\nwxDyhLjj8/shlATi9nMccHLPdXjga6+nvIZAFMKGh9tw5Peb8Klv7InfyQEGpwHrytMn601wB91w\nB9woksQ3R2EZFnqbHldXXJ3ZN0bIPKLpbrIoeIIeBCIB8Fk+bMYpLSoZ5NxhKRWGYXBzzc0pa3k7\n/A40FTfl1H5xNmu8F7oa9WSjDXmRKyFI931cB5YXQXVL+tKc1z54Apc/bIJzLP4JWCaUoceSefLY\niHsEDMMkfChSCBWUPEYWDQrSZFGw++yx95KaCjtq1kanURkw0Eg0eb/feu16cFzyLG+n35myFOhS\nplPqYo02kjmx5zpc96kTM5Zylaq8WLvlHNpejS8VKhNGy4NmasQ9gggSE8TkQjn6HH1ZJ6ERMh9o\nupssCg6/I7ZGeu2Wc7HtHDhoxPkP0ssUy1AmSz7lzTAMGoob8n7Pxa5EWpKyLGgowIN1qChxCjuF\nmz/3ARgm/gOSiCeC2WWGJ+iBVJC6IceEfkc/+Ezirzgey4sVR6lUVmY0HkLmS9on6e3bt0Or1aKl\npSW2zWq1YsuWLWhsbMSdd94Ju32yVeDOnTvR0NCApqYmvPvuu4UbNVlypq6RnjBRK7oQbR4ZhsHN\ntYlT3oFwAGK+mH65J1EiLYl1m5qOLwzjC//57xDJ/BldS6b2QKqKLzPKMExW5UH1Nj1kQlnSfRzH\nUeUxsiikDdJPPvkk9u7dG7ft+eefx5YtW9DZ2Ynbb78dzz//PACgvb0dr7zyCtrb27F3717s2LEj\nrogAIbNhdpkT3uf6Qr60T2+zlWzK2+a1YX35+oLdczFTi9VgGTbuw9TUtwX5yJeLIAKze+YgPZHZ\nPXX51VQCngBd1q7ZD4iQAkv7m2bz5s3QaOKnEl9//XU88cQTAIAnnngCr732GgBgz5492LZtGwQC\nAWpra1FfX4+2trYCDZssNSZ3dPnVVN6gFxXyioLdc+qU9wRf2Ieryq8q2D0XMx7Lg1amjSWP7f/l\nHTj5euZryTMhYAXot/fPeNy4fxz+kD/W59vjkGK0bzLBUCFU4PLY5byOjZBCyPpxwGw2Q6uNri/U\narUwm6OfaoeHh6HTTdYi1ul0GBoaytMwyVJncpnimiQAgDfkRZWqqmD3nJ7lzXEcwGVWCnSpqlZV\nx2p4S9VuWAZL8np9mUCGbmv3jMeNuEfielwPnK/Gu7+4c/I6QhkM4wYEwoFkpxOyYMwqcSzZ8obp\n+6d79tlnY39ubW1Fa2vrbIZAlogR9wiKxEUwdlYg6BegumUA4Ui44K0e15Wvwx/b/xgrNVomK0tY\nd0sm1aprcdxwHABQrLNAf3r2H2i6T6yApsKGYp0VMqEMA46BGXtXj7hH4qbdK1cZsOdfPwWOi067\nswwLBgyMTiNq1PltBkLIwYMHcfDgwbxcK+sgrdVqYTKZUF5eDqPRiLKyaEehyspKDA4Oxo4zGAyo\nrExMrpkapAnJhC/kgz/oB1/Kx6XDq8Dyw6huGQDDMAXJ7J6qUlGJElkJ3EE3HD4HtqzYcsUWI8kH\nrVw7pdGGBd3HG9B/rho1a9OvjU6n86OVKNJZUfzosVhZT5vXhmJpYtnRCf32/thUNwAoil0QSf2w\nGopRXBXtJx3hIhh2DlOQJnk3/QH0ueeey/laWU93P/jgg9i1axcAYNeuXXjooYdi23fv3o1AIAC9\nXo+uri5s2LAh3aUIyYjdZ4/N2tiNamg+KQnKgCn4Uy3DMLil+hZYvVaEuTBWl64u6P0Wu2JJcWya\nWfNJwRlliXNW19TWm+KabjBgMOIeSXtOr603IWlMt8oAQ/vkKzkRX4QOS8esxkZIoaUN0tu2bcOm\nTZvQ0dGBqqoqvPTSS3jqqaewb98+NDY24v3338dTTz0FAGhubsbWrVvR3NyMe+65By+88AI9cZC8\nsPsml/nZTBqoK2zgOA4RLlKQQibTra9YH5s6rdNcWd2r8q1EWoIIFwHHceAJwnjqre9Bsyx1f+4R\n90isIUoq5fUmmLonX2uEuTCMLmPK4zmOw+D4YGz51USGeWWzAUOXJmf3FEIFOsYoSJOFLe109+9+\n97uk2/fv3590+9NPP42nn3569qMiZAqHzxFbf2s3qqGpsCMQDkApUkLIExb8/pWKSpTKSqEWqTMq\norGUSQQSKEVKBMIBiPgiiKSpE7Mm3vNL+JK0BUrK6kYwNliCcJAHniAMqUCKbms3bqu7LenxNp8N\nwUgQfDb66+3NHz6AmvV9qLtKj0hochmfVCDFoGMQ3qAXEoFkFt81IYVDiz3JgjfqiXZDCvr58Dol\nUBQ74Q15UaEo3PKrqRiGwZa6LbhBd8Oc3G+x0yl1sWVY6dh9dlSrqvFo86NpW0cKRCFoKmwY7Y9m\nissEMuhtqcuDjrpH4zK7Td3l0FTYUF5vxo3bPoptn3iFQkVNyEJGQZoseMPOYYj5YoSDfNz8+Adg\nWA6+kA/LFMvmbAxbVmzBrXW3ztn9FrNqdXVGQdrhd+D+hvuxqWoTJAIJfCFfymNveuzDWMMOqUAK\ns9uccvmU2WVGmAsDACJhBqP9pSirS/4OO8JFMDROS0XJwkVBmix4E32kxXIfbv7sYQDRjO+5LM05\n03JDMqlKWRULkql4g17IhXKsr1gPiUCCB1Y+kLaS2Not51BUGX23PfH/IdXTt96ujxW+sQ4VQV7k\nSjntLhFIcNlCRU3IwkVBmix4o+7RhGpjLMOiRJLfQhkkP0qkJXHTzcmMuEdwT/09sZyCm6tvhpAV\nwh/KrLY3OKQM6nq7PpbZbe7VpnyKBj5JHqMMb7KAUZAmC1ogHIAz4ISAFcRtL1SLSjJ76RptAEA4\nEgbDMLix+sbYNplQhnsb7s24eQbDMDCMGxK2T0xfTySh2YwaaFekvqaYL4bVa4Ur4MrovoTMNQrS\nZEGz++zgMbyEqeYIF6HKXwuUWqwGj+EhHEk+5W12mXFj1Y1Qi9Vx22+tuxU8lpe2J/UEmTB5edCJ\n9ewTzVhu2vYRWp84GHfMsT9eD7ct+qTNMAxYsJQ8RhYsCtJkQXP4HJg+cxqKhCDkCVN2OCLzi2VY\naOVaeEPehH0cx8Ef8eP25bcn7FOKlNiyYgtMLtOM95jI8J7aoQxIrNkNAAwbf0zPyRUYvDhZ8z3C\nRTDoGAQhCxEFabKg2X322C/igy+1IhzkwRfyQSvXUiLXAlatSp7hbfPZ0FDUgBpV8lKcdyy/A0D0\ng9h03SdW4Pz+aG97IU8Id8CdME1tcpkS+o5PN73ymFQgxaWxS+m/IULmCQVpsqBZvBaAA3wuMY78\nfhNYfhjeoHdOl1+R7NWqa5MuqRr3j+O+hvtSfsAqkhTh1rpbkz5N+11itB9qBvBJtj2bWB50amZ3\nKtMrjylFSnRZuhKeyglZCChIkwXN6DRCxBfBZlRDU2EDw0RbVOqUuplPJvOmTFaWMO3sCXqgEqnQ\nom1Je+6dK+5EmAsnvNOeXh6U47iEDG+9TR8rB5pKZdMQhjuWIRKOjk/IE2I8MA6H3zHj90XIXKMg\nTRa0iTXSdpMa6k8aNoCLBgGycJVIE5fHjbpHcV/jfbFynamUycpwU9VNCQFYs8wKj10Knyv6pCxg\nBei19cb2hyIhGJ3GWGa3Y0SJUCDxXhKFD4oSJ0b7on+HGIYBw1HlMbIwUZAmC1Y4Ep4M0kYNNOWT\nxSwos3thm9poA4gGUB7Ly7i06j0N9yAQDsS9X2Z5HMqWj8Q6YsmEMvTYemL7LZ5oC8qJPtP/80+f\nxuDF5DMu93zxz5Bp3JMbGMzY6IOQ+UBBmixITr8TPz3+U9h9dgh5wrgnaQ5cwftIk9kR88VQiVWx\n0p0mlwm31NwChUiR0fnLFMuwoXIDRlzx75ynTnnLBDIYHIZYIJ+o8Q5EO1+Ze7XQLk9eyGTFdT2Q\nF00mnckEMlwapeQxsvCkn3ciZB7obXr8rO1ncPgdqFXXgmEYNNzQCVXpeOwX8vQ1tmTh0Sl0GBwf\nhJAnRCgSyrr2+X0N96FtqA0cx8USzTY+chw8fvRdNY/lIcJFYPFYUCorhclpQgTRvx/jIyoIxEFI\nVTPXEAcAhUiBLmvXjE/TKpEKKrEqq++DkNmgIE0WDI7j8EH/B9h1dhcUQkVcclj9ddFpTW/Qj2JJ\ncaxYBVm4qtXV6LB0IMyF0VzanHWyX426Buu069Bp6YRWHp3iLqkeizuGQzR5rFRWih5bDyT8aMvJ\n6FP05Dttw7gBDJiU9d6FPCG8QS+++8F3U44nHAmjqaQJ37zpm1l9H4TMBgVpsiB4g168fO5lHOo/\nhEplZcplNN6QF7Xq2rkdHMlJlbIKoUgIQX8Q99Tfk9M1Hlz5IL576LtxT9NTceBgdBqxpmwN+ux9\nkzW7e7Rx5UA5jktbqhSIfihIJ8JF0GHpSNv7mpB8o3fSZN4ZnUb806F/wlHDUdRp6tKuc/WFfKhU\nzF33K5K7EmkJvCEviqXFaC5tzukayzXLUa+pT7k8SsqXotvWjWA4CLPbDIkg+iQNhkPV6mgVMY7j\nEOEicYlsuZhISJuaUU5IoVGQJvOG4zicGDqB7xz8Duw+O6pV1bFfhKkEwoE5bVFJclcsLYaQJ8T9\njffn/HqCYRisL18Pp9+ZdL9MKIPeqseYZwwMmNjfn82f+RBNN0VbUAbCAShEClQoKuAOTmZ0G9or\n8ea/3Z/VeHgMD+fM53L6XgjJBQVpMm8O9x/GT47/BBqxBqWy0ozO4TE8yuxeJNRiNa5ddi02VG6Y\n1XVq1DUpp6olfAlGvaMYHB9MeYwr4MIKzQq0lLVg3D8e264sdeLSoVXI5uG6SFKEk8Mnc34i94f8\n+GP7H2csXUrIBArSZN6cNJ6ERqKZ8f1e+6FV6DjSGPuaWlQuDizD4ksbvzRjBbCZVMgr4r42dlbg\nf/7pEQCfdLFiWJw1nUWqV87ugBuNxY1oLG6MqwmuLB0HTxCG3Zj53yeJQAKb15ZQjjRTHZYO7Lm8\nB/32/pzOJ0sPBWkyLziOg96mh1won/HYnrZ6OMeU4DgOYS5MhUyWmGJpMQSsIBZgFSVOdJ+ojz0B\ncxEOHZYOSIUpPuwxgE6pQ7WqOmHX9GYbmeqydGV9DgC0DbXB7rfjxPCJnM4nSw8FaTIvnAEnXAEX\nhDzhjMfajBqoK2wIRoKQC+UzNlAgVxaWYbFcszz2Xlpe5ALLi2B8VBndz7Kw++xpW5eWy8tRIi2B\nVCCNFVgBgMpVQ3HNNjIhE8pw0ngy6+8jEA6gbagNK4tX4lDfoaSdvgiZjoI0mRcml2nGJLEJdpMa\nmnI7fCEfymXlM59ArjhNJU1xbSmnVx4b84zFPrz1nFgBn0sEIFqOVMAKUCwtBsMwWFW6Ktqj/BO6\nZgMMl7J7klaL1bg4cjEu2Gei2xrNQpcL5XCH3Dk/jZOlhYI0mRdGpzGj5JlImMH4qBIqrSPaolJJ\nLSqXohp1TVyy1tQgrRQpUSotja2jfnXnwwh4o0HaHXCjVl0b+0C4pnRNXJ9rXbMBn/mXl7MaC5/l\nI8yF0Wfvy+q8tqE2CHgCANHmIEcNR7M6nyxNFKTJvOi2dWc0be0cU0Kq8oAvDMEX8qFKWTUHoyML\nTYW8Iq6YSXm9CeZPgjSP5cWW5bmsMoRDPChKolnczoATDcUNsfNq1DVxMzg8QRgSRWLf65kwDJNV\nre9QJITjQ8dj3cFKpaU4ZjiWtOc2IVNRkCbzosfak1HSmEjmw4Nffx1A9BdjsbS40EMjC1CprBQ8\nlhd7j7vyxst46FuvJhw3oo+WA52I5+FIOK5C3UQhnOm9qrOlFqnRNtSW8fE91h74gr5YDoaAJ0Aw\nHMTlscuzGge58lGQJnMuEA7A5DJNVodKQyz3o35DNwCAAbWoXKpYhkWdui72XlogCkEoCSYcN70c\nKMuwKJdP5jEIeIJoElogeXGUTMmFcgw7h2H32TM6/pTxVEIfbYlAgkP9h2Y1DnLloyBN5tyIeySu\nOlSmqEXl0rayZGVc8lgyUxtrRLgIOHDQyrRxx6zVrk1ZwSxTE1Pv3dbuGY8NR8I4MnAkNtU9oVhS\njDOmM7MeC7myUZAmc87kMmVdcSkcCYPH8DLuR0yuPHXquhn/3pQ3GFG1Jtpu0hP0YJliWSxZa8Jy\nzfKE6mRBnwChQHalS8V8MU4bT894XJ+9D+6QGyK+KG47j+WB4zhcGLmQ1X3J0kJBmsy5fnt/1rWc\nfSEfSmWlWT99kytHhaJixmOu//RxlNZE21m6Ai40FDUkHFOlqop2xZqSLf7Kd/4SvadWZDUejUSD\nM6YzM77fPm08DTbFr1qFSIGDfQezui9ZWug3HplzXdaujJLGuAiDUCD6Hs8b8mKZgpZfLWWl0lLw\nGF5cUAz6BCmP94f8WKFJDLxKkRIlsmiHrgmVq4ayrjwm5AnhC/lgGDekPCbCRfDhwIcJU90TNGIN\nOi2dsHgsWd2bLB0UpMmc4jguru9vKs4xBX7z9c/h+J82Aoj2m9Ypsy/fSK4cPJaHGnVN7L100CfA\n9x/+OsKh5L/GWIZN+fS9pnRNXFGTylWGrCuPAQA4oNPSmXL3gGMA4/7xlEmSDMOAYRicMZ3J/t5k\nSaAgTeaU1WtFIBxIeE84VdexBvzyC59H9dp+3LA1WvAhzIXjsnTJ0tRU0hTLzBaIg1CWjsMymPiU\nOtFDOtXfmVWlq+IqhulWDWHociW6jtfD60y+fn/wog6OEWXcNqVYmXYp1hnTmRlf0ajFaryvf39W\nva7JlSvnIL1z506sXr0aLS0teOyxx+D3+2G1WrFlyxY0NjbizjvvhN2e2fIEsnSY3eaU+0IBHt75\n+V1460f34dFn/oDWJz4Ay4smClGLSgJEk8fC3OR0d/mKycpjU/nDfhRJilJ24KpSVsUVR5GqPFhz\n2wW0/c9GuCzJkxPPvbsOu7+9LW6bUqREj7UH7oA74XiO43B44PCMywYVQgWGncMYdg6nPY4sTTkF\n6b6+Pvznf/4nTp8+jfPnzyMcDmP37t14/vnnsWXLFnR2duL222/H888/n+/xkkVueHw45RPD4f++\nGXazGl/45X+gZu1A3D4OHK2RJqhQVMQlYWmnlAc99JubY++onX5n0vfRsfPkWoh4IgTDk2ut7//K\nm/jMv/w3SmtHk55zz5f+DMeIKtbYA4hOqYMBem29CccPOYdg9VhnbNU5MeV9yngq7XFkacopSCuV\nSggEAng8HoRCIXg8Hixbtgyvv/46nnjiCQDAE088gddeey2vgyWLX6e1M2X/6M2fOYStz70CidIb\nt30iE1ctVs/FEMkCViYrA8MwseSx8noTzD1a+FxifPjbm8AXRiuSeYIeNBY3prwOy7BYWbIS4/7x\njO/N8iKov64bXcfiM8Z5DA/nRs4lHH/WdDbuaT2dEmkJDugPZL00kVz5+DMfkqioqAhf/epXUV1d\nDYlEgrvuugtbtmyB2WyGVhstHKDVamE2J05tPvvss7E/t7a2orW1NaeBk8Wp19abMrObL0y+lMUf\n9kMtUad9j02WBj7LR7WqGnafHUqREuX1JvhcYph7y1BWNwKGjc7SMAwzYzOWlrIWnDWdzarUbMP1\nXbh4YDWueWDyqbdIUoSTQyfx2JrHYkE506nuCVKBFP2efvTZ+7Bcszzj8ZCF6eDBgzh48GBerpVT\nkO7p6cGPfvQj9PX1QaVS4S/+4i/w8svxnWQmpnCmmxqkydLiDXph8VhQrarO+ryJBgqErCxeif29\n+6EUKaEoduF//ft/4sRr18WVAwUwY6Lh9GYbmajf0I23f3wvwiEWPH70qVcikGDEPQKz2xy7p8ll\ngsllQo2qJuNr88DDccNxCtJXgOkPoM8991zO18ppuvvkyZPYtGkTiouLwefz8cgjj+Do0aMoLy+H\nyWQCABiNRpSVleU8MHLlmeghPfHhzW5SgYvMPB3oC/mgU9DyKxK1XLM8oYDI1HKgwXAQIr5oxkRD\nnVIHDlxWU8wSpRdf3v2jWICeamp/6PMj5+P+rmeiVFaKwwOH496TE5JTkG5qasKxY8fg9XrBcRz2\n79+P5uZmPPDAA9i1axcAYNeuXXjooYfyOliyuJnd5tgvxFCAh5//9d8jFJy58pg/7KdCJiRmmWIZ\nMC32mXu1KKuLBmlXwIXl6uUzBkgxX4xqVfWM9cCnE8n8CdtkQhlOGk/Gvj7UfyhlDoW5twy/f2Zr\n4nX5InhDXnRZu5KcRZaqnIL0unXr8Pjjj+Paa6/F2rVrAQCf//zn8dRTT2Hfvn1obGzE+++/j6ee\neiqvgyWLW6+1N/ZeeURfhqJlVghEoRnPYxmWWlSSGK1cCwZM3BPwhoePo6IhOovnCrjSJo1N1VLW\nklXyWCoasQYXRy4iEA5g1D0Kw7gBCmHypVwlVRb0n62BdSjxSV/ICvHRwEezHg+5cuT0ThoAvvGN\nb2RsBhEAACAASURBVOAb3/hG3LaioiLs379/1oMiV6Yu22Q5UGNXBSoajBmdx4CBRkJrpEkUn+Wj\nSlUFp98Za7jScvtkkwoOXMZ5D/VF9XnJqOaxPES4CPrsfTCMG8AgMSfnyCuboCh2ouWO82i5/TzO\nvbsOrU8ejDumVFaKtqE2fHbtZzNq5UqufFRxjMyJcCQMg8MQKwdq6qpARWNmQTqCCBUyIXFWFq9M\n2xM60+p01arqhGYbuWIYBu2j7fhw4EOoxKq4fRwHnH7ramiWWQEA6+4+g7PvrkvIyeCzfIQiIVwa\nuzTr8ZArAwVpMifGPGMIc+FY9ytjhkE6GA5CzBOnXFtNlqYVRSuSJliFI2GwDItSWWlG11GL1VCL\n1fCHE98zpxMJswm1vjViDQ4PHIberodKFB+kzT3lCAd5qFw1BCC6vlsk86P/XGL2t0KkwBsdb1CZ\nUAKAgjSZIyaXCQwm1pACQkkA2hWmGc/zhXwol5dnlSVLrnwV8oqky6fcQTeqlFXgs5m9yWMYBs2l\nzXHNNjIRDvLw6689HlfnWyaQRbtZcUj4+3rh/TVYc9sFTGxmGGD9PR8nbeqhEWvQa+tFh6UjqzGR\nKxMFaTInDE5D7MmAYYDHf/hriKSBGc6KtqjMpI8wWVomprOnv09O1UM6ndWlq+EL+bI6RyAOoqal\nHz0nJ0uPMgwDEU+UkOTIccDFA6ux+tYLcds3PnIcN25LTBJjGAZyoRyvXnqVnqYJBWkyN7rGumas\nYZyMN+hFlbKqACMii5mAJ0ClsjKhsUUwEsTyouyKgVSrq3OaqWm4oRNdR+OzyCsUFQkV9ayGYohk\n/oRiK+luWSItweWxy+ix9WQ9LnJloSBNCo7jOPTaU5cDTYcBk/H7RbK0NBY3JqxxZsFm3dK0Ql4R\nS9jK6v7Xd6G7rR6RcPoAX1xlwef/4z/SBuXpGIaBVCDFa5dfo6fpJY6CNCk4V8AFp98JIU+Y9bkM\ny1BmN0mqvqgegcjkKxOO4xBB6h7SqfBYHuqL6rNeL63SOiAvcmHo8swla1le9oG2TFaGCyMX0O/o\nz/pccuWgIE0Kbno50ExNLI2hFpUkmWWKZXFtK70hL8qkZRDzxWnOSm6tdm3WlccA4MZtH8V6nucb\nwzCQ8CV4o+ONglyfLA4UpEnBGZ3GWIKPyypH76mZ3xn6Q37o7XqsKl2VsOaUECCaPDa19rYr4MKK\notQ9pNOpU9fFVh9kY+2Wc6hsGs7pnhOCfj7efeHOpHXsS2WlOGU8hUHH4KzuQRavnCuOEZKpHlsP\nRHwRAKD3dB06PmzC8mt6Ux4/4h6BL+TDZ9d+FrfX3Z51pyKyNAh5QlTIK+AJeiAXyuENerPO7J5Q\npapChItgxD2S9ji5UJ73Nft8YQg9J1eg8VwHatfHT22zDAsRT4S3u97GF679Ql7vSxYHCtKk4Lqt\n3bGkMVNnBcpTlAMNhoMwjBtQo67BF675ArWnJDNaWbISRwaPQC6Ug2XYnBuxSAVSPLLqkbRBOhgJ\n4qjhKOrUdRld09hVDr9blBB4p2OYiQpk65Meq5VrcdRwFA+ufJCWIy5BFKRJQQXDQZhcpljANXZV\n4KbHPkw4zuq1wuF34OFVD+O+hvtijTgISaehqAEH9AcARGt2Z5s0NtUDKx9Iu5/jOHRaOuEJejJ6\nmm77n43QrjDPGKQBYO0d5/HzJ/4O93zxzxBK4usHsAwLAU+Avd178eRVT854LXJloXlEUlAj7hFw\n4MAyLLgIA2NX/JN0OBJGv70fYr4Yz9zyDB5qeogCNMlYhSJaecwf8kMmkEEpUhbsXgzD4MaqG2H1\nWmc8NhTg4fJHTWi+5WJG15YXuVDdMoBLh1Yl3V8uK8fhgcMzTseTKw8FaVJQJpcJHKLLT2xGNUQy\nP2RqD4Boos+AYwBbVmzBd2/9LpZrsitCQchE8pgr4MIKzYqCl49dV74O4Ug4Yfuhlzej70xt7Oue\nE/XQLjdDWRrfBITjuJRLvdbdfQbn9q9Nuo/H8sAyLN7teTf3wZNFiYI0Kah+Rz94DC/29Y1/NVkG\n0eq14vPXfB6PtTyW07IZQsR8Mcrl5Rh1j6KhJLeksWzUqesgEUgQCE+bkma5uKfgCwfWJJQBBQCH\n34F+Rz+8QW/CvpU3dOLT//jHlPcul5fjgP5ARk/y5MpBQZoUVLelO9aesqjShg0Pt8Xtbyppmo9h\nkStIQ1EDXEHXnJSP5bE8bKjcgDHPWPwYru9E57FGcBwQ9AnQdez/tnfn8VFW9/7AP8/sayb7HrIn\nhBCSQNi3IIKABVEp1aLFVltrV29/97b2tr1Xvf68VNtrrfbXl/ZaxUJFC4KoLIIQRPZFCEsggYTs\n+zL7/pzfHykDw8wkk8lM1u/7L/KsZx7jfHPOc873m41JCzzLTfZYejAtYRraje2e1xY7odB4Bu+b\nRAIROHDYV71v8B+EjBoUpEnIMMZQ01PjNR2ozWmDQqygRCVk0LIjsxEmDRvUpLGBKEks8SiTGZve\nBt4pQEdtDDgBj288/z6UEe55xXnGQ8AJ8I38b4AH71EcxB9xqjjsu75vwFW7yOhFQZqETLelG1an\n1etEML1Vj+zIbCpBSQYtKSwJyWHJiFZED8n9siOzPXJ9cxyQM7sSlcezIZI4kT61xuO8DlMHCuML\nkRmZiYLYgt6ylgMkForBMx4Hag4M6jOQ0YOCNAmZVkOrz30GmwF5Md5nshIyEMlhyXh48sNDlvRG\nKpKiML7Q491w9qxKXDvp+724yW7CwtSFAIC7M+6G0W70eWxf4lXx2H1tN/RWff8Hk1GPgjQJmSZ9\nk88KPgJOgAmaCUPcIjIWiYViFCcUD+k9ZyXPgsluctuWOa0aD73wntfjbU4bZCIZ8qJ7/zCdFDMJ\nKonKZx3r6rPpaK/1PjIgEUrg4B34ovaLQXwCMlpQkCYhU9VV5Ur6cPFgPm6cSwVwq3BGkpoyipHR\nKTcqFwJO4PZeWSh2QqqweT2+3diOeSnzXOlxxUIx7s642+sEMgBovRaPA/+72Of945Rx+LjyY48/\nFMjYQ0GahEx1VzWUkt6Z3eWfFcKslwMALA4LIuQRUEvVw9k8QgKmlqqRE5Xj9wQuB+/ArJRZbtvm\npMwBz3ivo00l951C45UkNF31nuZUKpLC6rDiyzrP7H1kbKEgTULCbDej3dQOuag3MDdXJSAxpzfT\nmN6mR050znA2j5BBm5Myx68a1Ca7CeGycI9kPbHKWOTF5KHT7DmBTCx1YP66wzj49iKf141VxmLn\n1Z0+h8zJ2EBBmoTEpbZLYGDgOA76ThWcdiHCYnt7HWa7GXlRNGmMjG6TYiYBgM95Fzd1GDtwd8bd\nXie2Lc1c6rOOdfGKs2i/EYO6C97Xf8vFchhtRhxvOD7AlpPRhII0CTqb04b3Lr7nWgPdXJWAhJxm\n3FxtJeAESNYkD2MLCRm8aEU0ksKSfAZZ4J/zL8AwLXGa1/35MflQiBVee8MiiRMLvnUIJ7fP7LMN\n2yu2e2RAI2MHBWkSdF/UfoFOc6er2EFzZQIS/llUgzEGHnzAJQUJGUnmTZiHbku3z/1aqxZp4Wk+\nE630N4Gs6J7zWP3MDp/XV0qU0Fq1ONV4amANJ6MGBWkSVAabAVsvb3X7Upo47wqKln0FADDajUhQ\nJVCubjImTI6d3Od+rUWLu9Lv6vOYviaQCYQ8RBKHl7NuiVZE48OKD92Sq5Cxg4I0CardVbthc9jc\ngnBcRhuiJ/ROjtFb9ZSvm4wZSeokaKQar0uhnLwTAk6AoviiPq8Rr4pHbnRuwIUzVBIVOs2dONt0\nNqDzychGQZoETbuxHXuu7UGCOsHnMTanDTlRNLObjA0cx2FOyhx0mTwDbKe5E0XxRX4tNVyauRR6\nW+AZxCJkEfjwyodey2iS0Y2CNAma7RXbIeSEXnN13yTgBJTEhIwpRfFFcMIzOJrtZixIXeDXNSbH\nToZCrIDVYQ2oDRqZBs2GZlxouxDQ+WTkoiBNguJGzw0cbTiKeLXvSkQ848Fx3JBVKyJkKKRHpEMm\nkrnNsLY5bZCKpH7np5cIJbgr/S60Gdt8HqPvVGHLrx8C470XpQmXhmPb5W0BVdciIxcFaTJojDFs\nubgFCrGizyIHBpsBEzQT+uxpEzLaiAQizEic4VbVqt3Yjvmp8yERSvy+zpyUOXAyp89116pIAwxd\nKlwqy/e6P1wWjnpdPS63Xx7YByAjGgVpMmgX2y6ior0CMYoYj32bf7EO+s7eetI6q85VYICQsaQk\nscStJ+1gDsxKmtXHGZ4S1YnIjsz2uaSL44BF3zmAsndKwTs9v7o5joNaosb2iu39Jlgho0fAQbqn\npwdr1qxBXl4eJk2ahBMnTqCrqwtLlixBTk4Oli5dip6enmC2lYxADt6BzRc2I0Ie4VEb2mKQoe7C\nBCjDe0vy8YxHZmTmcDSTkJDKjsqGUCCEk3fCaDMiUhaJ9Ij0AV9naebSPktQZkyrhirSgPL9BV73\nR8ojcb37Oio7K/u9l69lX2RkCThI//SnP8WKFStQUVGB8vJyTJw4ERs2bMCSJUtQWVmJxYsXY8OG\nDcFsKxmBjtUfQ7O+GeGycI99zVXxiMtshUB464uAJo2RsUgmkmFK3BR0mbvQaerE4ozFAdW3nhI3\nBVKR1GcGMY4DFn37IA5tLIXT4b03rRQrsePKDo8AzDMejbpGfFH7BV49/iq+/8n3caLhxIDbSIaW\nKJCTtFotDh8+jI0bN/ZeRCSCRqPBzp07cejQIQDA+vXrUVpaSoF6DDPZTXj/0vuIU8V53X8zHSjQ\n2+MWC8SIUXoOiRMyFsxOno2zzWfBcRymJXhPA9ofqUiKRemL8Nm1z5Ci8Z6zO7WwFtkzqqBr0yAi\n0XNoPFoRjYqOClR3V0MtVaOmuwZftXyF8tZyV/pRhVgBsUCMz2987lGdi4wsAQXpmpoaxMTE4Nvf\n/jbOnz+PadOm4Q9/+ANaW1sRF9f7hR0XF4fW1laPc5999lnXv0tLS1FaWhpQw8nw21+9H0abEdEK\n78XpWyoTkFFSDaA3iUlmZGZAvQtCRoPc6Fw4eAdyo3J9/uHqj8Xpi/HZtc9gd9p9TrJc8fQun+dz\nHAe5SI7/e/j/goEBrLcYR7gs3G0iG2MM17quodPUiShFVMDtJZ7KyspQVlYWlGsFFKQdDgfOnj2L\n119/HdOnT8fTTz/t0WPmOM7jHSXgHqTJ6NVl7sLHVz/uM3FJc1UC5n6zt96twWbApOhJQ9U8QoZc\nmDQMRfFFmJU8uJ5ptCIaK7JX4NOqTzFBMyGga8QqY2Hn7X3OLuc4DmDA+dbz/aYuJQNzZwf0ueee\nC/haAXVrkpOTkZycjOnTpwMA1qxZg7NnzyI+Ph4tLS0AgObmZsTGxgbcMDKyfXL1E/Dg+/wSeOwP\n7yAmtbdwAANDanjqUDWPkGHxVMlTmJMyZ9DXuSfrHkiFUpjt5oDO5zjOr+VfEfIIHKw5SBPIRrCA\ngnR8fDxSUlJQWdk7g3D//v3Iz8/HypUrXe+pN27ciNWrVwevpWTEaDe2o6y2DImqvitZKSOM7pPG\nwmjSGBnblBJlUF7pqCQqrJm0Bq1Gz1eGwaSWqNGga0CLoSWk9yGBC2i4GwBee+01rFu3DjabDZmZ\nmXj77bfhdDqxdu1avPXWW0hLS8MHH3wQzLaSEWJf9T4IOAGEAqFfx1sdVijECkTIIkLcMkLGjvmp\n87Grahf0Vn2f+b9tZgkABoncPuB7cBwHDhy+avmqz1dXZPhwbAjHOTiOo2GVUa7b3I1//exfkaBO\ngEjg3994HaYO5Ebl4sczfxzi1hEytpxuPI3XTr6GtPA0r3N8AODTV+6FKkqPhd/6IqB7GG1GMDC8\nvORln/cggzOY2EdTbcmAHKg5AAB+B2ig90uAMo0RMnBTE6ciIyKjzzKWs9cew4lts2DWB1ajXSlR\notPUiTptXaDNJCFEQZr4TW/VY+/1vT6XlzAG7Hl9GbStGrftAk7gc80nIcQ3ASfAQ5Mfgs6q89kT\ni0zqwsR5V3Dsg8AnrAk5Ic40nwn4fBI6FKSJ3w7dOAQH7/A5a/Tq0VxcP50JVdSttIaMMfCMp0lj\nhAQoJyoHUxOm9jm5a8Gjh3B6ZwmMPYqA7hGliELZjTKqRz0CUZAmfjHZTfik6hPEKb33ou1WEfb+\naRmW/Wg3hKJbpfIsDgsiFZFQSVRD1VRCxhSO47Bm0hpYnVafQTQ8XovJd13EkffmBXQPuVgOvVWP\n6u7qwTSVhAAFaeKXL+u+hNVhhVQk9br/2AdzEJ/VgswS9//JdVYdJkZNHIomEjJmJYUl4a60u9Bk\naPJ5zPxHvkDO7KsB30MkEOFk08mAzyehQUGa9MvisGDn1Z2IVXpPTqNt1eD41lm45wd7vZ47MZqC\nNCGDtTJ3JQQQ+Cy+oY4yIK2oNuDrxyhj8GXdl7A7B76Ui4QOBWnSr+MNx2GwGSAXy73u726OwIJH\nv0B4vGdpUgEnQHJYcqibSMiYFyGPwKrcVWg2NIfk+hKhBBa7xa8yl2ToUJAmfbI77dhxZQdiFL6r\nV6UV3cCsNcc9tjPGwMAoSQIhQbI4YzGUYiVMdlNIri8RSnCs4VhIrk0CQ0Ga9OlU0yn0WHqglCgH\nfK7RbkSCKgEyUWDrNwkh7hRiBdbmr0Wbsc2v4xkD2mujcfrjadj2woPY/My6Po+PUcbgROMJV0lL\nMvwCTgtKxj4n78T2iu2IkgdWxk5v1aMotSjIrSJkfJuTMgefVn6KHksPwmXhXo+xGGTY9YcVuH4m\nExKZDamFtciYWo3Uwr7fWYsEIjicDlS0V6A4oTgUzScDREGa+HSu5RzaTG1ID08P6Hyb04bsyOwg\nt4qQ8U0kEGHdlHX4/dHfQyPVeE3lKRQ5kTvvChZ/93No4rQ+r3XjXCrMOgXyFlS4tsnFcnxR9wUF\n6RGChruJVzzj8eGVD30Wxag5mw6no+9fH47jKIkJISFQEFuAidET0W5q97pfLLMjv/RynwEaAHhe\ngC82LXDbFiWPQnlLOQw2Q9DaSwJHQZp4dantEhq1jV6H0zrro7D1+TX/rL7jnZN3QsAJEK+KD2Uz\nCRmXOI7DQ5MfgtFuBM/4/k/wIb3oBsw6OVqu3UpSJBQIwTMeF1svBqOpZJAoSBMPjDF8WPEhwmRh\nXvcf2rgQM9cch1zte3JJh6kDedF5AyrEQQjxX3pEOuYkz0GzPvAlWZyAoXDpeZz/zH3uiFqqRllt\n2SBbSIKBgjTxUNFRgZqeGq9D3W01sag+m4GZD5zweb7daYfFYcHa/LWhbCYh4979effDyZyDSkBS\neM95XNhf4Pb6KlwWjqsdV9Ft7g5GM8kgUJAmbqwOKzae2+hzQkrZ26WY89ARSBXesx4BQJO+CStz\nV1LlK0JCLFYZi2VZywbVm45M6kJkUheun8pybRNwvaHhfOv5QbeRDA4FaeJmz7U9aDW2IkLuvRdd\nfzkF01ed9nl+j6UHUYoorMheEcpmEkL+aXnWckhEkkGtbf76sx8ga0aV27ZwWTjKbpQNsnVksChI\nE5cGXQN2XN2BJLX3GdkxaW14/PW3IJZ5H1rjGY9ucze+U/wdSmBCyBBRS9VYM2lNn6Us+71GlAEC\noXu96jBpGGp7aqG19D1DnIQWBWkCoHc29jvn3oFcKIdYKPZ6DMfBa37um5r0TZg/YT7yovNC1UxC\niBcLUhcgUh4JvVXf/8F+4jgOHMehTlsXtGuSgaMgTQAAh+sOo7KzEjFK3zm6+2KymyARSvD1/K97\nfZdNCAkdiVCCb07+JtpN7WCM9X+CnzhwVHBjmFGQJug0deLvF/6ORHViQAGWMYYWQwsemfIINDJN\nCFpICOnP1MSpyIzIRJe5K2jXDJeF0+SxYUZBepxjjGFz+WaAIeD3yK2GVuTH5GNW8qwgt44Q4i8B\nJ8DDBQ9DZ9UF3Js26+S4cS7V9bNKokKDrgFmuzlYzSQDREF6nDvbfBanm0/7LCdZfTYdZz+d6vN8\nm9MGO2/Htwq/5Vq2QQgZHtmR2ZiWMK3fSWRO3gmtReuxvtqkVWDr8193rZm+ObJG76WHD32rjmMG\nmwHvnHsHscpYr8PcjAGfv3k3pErfSzua9E14IO8BqhlNyAjAcRzW5K+B1WmFg3e4tlscFrQZ21Db\nU4s6bR2aDc2QiWRoNrivr45K6fRYMw0A1d3VQ9J+4olyNo5j2y5vg9FuRJTCeynKq0dz4XQIMem2\nCjm36zJ3IUGVgCWZS0LZTELIACSqE7E4YzE+vfop5BI5wHqXUxXGFSI/Jh8TwicgUZ0IvVWP//PZ\n/4GTd0IoELrOL1x6Huf2FCFndu+EMbVEjfLWcizPXj5cH2lcoyA9TlV2VuJAzQFM0Ezwup/xHMre\nXoRF3zkATuD5fsvJO6G1avGTmT+BROi70AYhZOitylkFjVSDVE0qUjQpiJBFeIyWRcgjMC1hGi60\nXXArhJO/6BL2vbEEJq0cCo0ZYdIwVHVVwe60+1yeSUKHhrvHIavDirfOvoVwWbjbX9C3u3xoEkQS\nh+uv6Ts16ZuwOH0xsiKzvO4nhAwfjUyDVbmrUBhfiEh5pM9VG4szFntkKpOpLMieVYWLBwoA9FbF\nYoyhUd8Y8nYTTxSkx6G+Un/eVFueitJvH4S3/7fNdjOkIikeyHsghK0khIRaTlQOouRRMNqMbtvn\nrzuMCQW1rp95xuNGz40hbt0tPOMHVZJzNKMgPc70WHqws3Knz9SfN6346S5kTb/udV+rsRVr89dC\nJVGFoomEkCEi4ARYnr0cHaYOt+2x6W2Iz2p1/ayUKFHeUj7UzXPZcnELjtYfHbb7DycK0uPM2eaz\n4Hk+4HdLWosWscpYzE2ZG+SWEUKGw/TE6eA4Dk7e6fMYjVSDio6KYenNdpm7sLtqNy63Xx7ye48E\nFKTHEcYY9l3fh0h5ZMDnd5m78M3J36QJJISMERqZBjOSZqDN2ObzGLFQDKvTilZDq89jQuVgzUE4\neAeud3kf2RvrKEiPI7XaWrQYWgIepu4wdSA3KheF8YVBbhkhZDjdlX4XrE5rn8cwxlCrre3zmGDT\nW/XYe30v0iPS0WZqG1Q5ztGKgvQ4cqT+CISc0OtMz67GSHQ1+p5IxjMeRrsRDxc8TAU0CBljsiKz\nEKuMhcFm8NjntPeuAJGJZLjUdmlI2/VF7RewO+2QCCUQQDAsPfnhFnCQdjqdKC4uxsqVKwEAXV1d\nWLJkCXJycrB06VL09PguaUiGntVhxeHaw4hVxXrs450CbHvhQVw/nenz/GZDM+Ykz0F6RHoom0kI\nGQYCToBlWcvQaep02151Igvv/+YbAHqHxS+0XQhqla2+mO1mfFL5CeJUcQB6OwqDqZk9WgUcpF99\n9VVMmjTJ1avasGEDlixZgsrKSixevBgbNmwIWiPJ4F1qvwSLw+I18cjhzfMgU1lQsuq013PtTjt4\nnsf9efeHupmEkGFSklgCoUDolk40aWIj6i5OgNMhgFQohdaiDWqVrb4cazgGi8PiKvwjForHZXrS\ngIJ0Q0MDdu3ahSeeeML1V9XOnTuxfv16AMD69euxY8eO4LWSDNqBmgNe30U3Vybg5PaZuO/nH3ld\nEw0AzfpmrMheEXCtaULIyBcmDcPMpJloN7a7tik0ZkQkdKPpam8ZWw7ckBTbsDlt2HFlh9t3jkqi\nQlVXVcjvPdIElBb0X/7lX/Dyyy9Dp9O5trW2tiIurndYIi4uDq2t3t8dPPvss65/l5aWorS0NJAm\nkAHoNHXiUvslpISluG132ETY/t/3454f7kFYjM7ruWa7GTKxDPdk3TMUTSWEDKNF6YtwpP6I27b0\n4hrUfJWOlPwGCAVCVHRUoDih2O9rMsYGPI/ldNNp6Kw6t5UoSrES9dp6j1zjI1FZWRnKysqCcq0B\nB+lPPvkEsbGxKC4u9tkIjuN8/ke5PUiToXG66TQ4xnmUkmy4nISE7GYULL7g89xWYyvWF66nxCWE\njAOZEZmIV8VDb9VDLVUDANKm1uD4B7Ox4JHDCJeF40LrBaDAv+s5eSd+d/R3mJU8CwvTFvp1joN3\n4MOKDxEldy/8IxQI4eSd6DB1uN5Tj1R3dkCfe+65gK814OHuo0ePYufOnUhPT8fDDz+MAwcO4NFH\nH0VcXBxaWnpf6jc3NyM21nOCEhl6POOxr3qf10pXaUW1WP3L7T6HuXVWHaIV0Zg3YV6IW0kIGQk4\njsOyrGVu751TC+pgMcrAeA4KsQItxhavs8C9Odt8FhfaLuCtr97C8Ybjfp1zvuU82k3trj8S7jTe\nJo8NOEi/+OKLqK+vR01NDbZs2YK77roLf/vb37Bq1Sps3LgRALBx40asXr066I0lA1fdXY1OUyeU\nEqXX/b4CNGMMnaZOrCtYR4lLCBlH7pxAJlVa8b033gQn6B225hiH2p7+10vbnDZsubgFscpYJKgS\n8OfTf8a55nN9nsMzHjuu7ECEzPtyUI7jUK+tH/iHGsUGvU765rD2M888g3379iEnJwcHDhzAM888\nM+jGkcE7XHsYYsHAg2yHqQM5UTmUuISQcUYlUWFuyly0GbxnIOM4Dte6rvV7nSN1R9Bh6kCYNAxy\nsRyxili8evJVXG7znd6zor0C9bp6aKQar/uVEiWudl7174OMEYMK0gsXLsTOnTsBAJGRkdi/fz8q\nKyvx2WefITw8PCgNJIEz28041nBswLOyecbDYDPg4YKHPd5jE0LGvoVpC2Hn7V7XRIdJw1De2nex\nDZPdhK2Xt7q9O1ZKlIiUReJ/jv+P1yDPGMP2K9uhkqh8zmlSSVSo6a4ZsrXaIwF9A49h5a3lHoXa\n22piwDv7nmnZpG/C7JTZyIjICHUTCSEjUHp4OhLVidDb9B771FI1anpqYHX4TiO6v3o/THYTFGKF\nx7lqiRovH3nZY8j8evd1VHVWeUwYuz0eS4QSGO1GaK3aAD7V6ERBegz7vOZzt8kXNrMEb//07bC/\nuQAAIABJREFUOzB0eZ+QAfRWuVKIFXh48sND0URCyAh0cwJZt7nbY5+AE4ADh3qd93fD3eZufHz1\nYySoE7zu18g0kIqkeOnoS2jSN7m2f3z1YyjECo9e9Hu//CYaLt8qrctx3LiaPEZBeoxqM7ahsrPS\nbQJG+f4CpBXe8Lkm2u60o8vchR9O/yE0Mu/vhAgh48PUhKmuZU8AoG3VoOZsb1pgBoaa7hqv5+2q\n2gWe8V6zG94UKY8EBw4vHXkJbcY21GnrcL71PGKV7quCas6mo7MhCgk5zb33Zb3D4rcH97GOgvQY\ndbLhJAQQuP4qZQw4/dF0lNx3yuvxjDHU6+qxZtIa5EbnDmVTCSEjkFKixKSYSeix9NZh0LZpsO+N\nJQB63w2fbznvcU6LoQX7a/b77EXfLloRDZvDhpePvIztFdshFUrdetGMAQffXoSFj5VBKOLx8e9W\n4tLByZCL5ajqHD+ZxyhIj0FO3ol91fsQrYx2bWu4lAK7RYyMqd7/+m02NKMgrgArslcMVTMJISNc\nSWKJa0100sRGdDZEwayXIUwahsquSrc83wCwvWI7xAIxRAL/8mTFqmKhs+lwtP6oR4KSayezYDHI\nMHnRRQBAeHwPmq4mQiVRjava0hSkx6CqrirorDq3SRund5agZNVpcALPWZE6qw5SoRRPFD8x4tPt\nEUKGTk5UjuvfQrETKfn1qD2fBpFABCfvdBt2rumuwfHG44hXxQ/oHgmqBEyMnui2koQx4OBf70Lp\nY2UQCHu/sxInNqLpaiLkIjnaTe3jprY0Bekx6HDtYY/3QVkzrqFomWciAQfvQKe5Ez+Y/gNEyH3X\nkyaEjD9xyjiEy8JhtpsB3MrjDfQu1bw5Q5sxhvcvvQ+FSBHQss07J4vZzBJkTKtG3vwK17bEnGY0\nVyWA8QIIOMG4mTxGQXqMMdqMONF4wmNtdMHdFyAPM7ttY4yhXluP1bmrkReTN5TNJISMAhzHYUbS\nDFea0PSpNbjxVRoAQCFW4EJbb97/y+2XUdFe4THxizFgx3+vRsXhiQO6r1Rhw93f2+828icPM0MZ\nbkRnfTR4jJ/a0hSkx5hzLefg5J1+vRNqMbQgLzoPK3NXDkHLCCGjUUFcgWuGd3xWMwqXnQNjvUup\nLrVfgoN34L2L70Ej03j0iLubItHZEIVdf7gXFw/mD7otSXmN6KiLhlggRnXX+KgtHVCpSjIyMcaw\n9/pev5ZP6a16iAQifK/ke35P8iCEjD8ZERngOA484yEQCjBn7TEAvYlFTDYT9lzbg3ptPdIj0j3O\njUzqwndefwttNbHY9PNH4bQLUbi072xlfXng3z8EJ2DQWcdPbWnqSY8hN3puoE5b5zPv7U0O3oF2\nUzu+X/J9t3qthBByJ4VYgeyobGgt3rN8fVL5CaIV0V73Ab1FfOIy2vCt32/E53+5G40VST6P7c/N\n4W+lWIl6Xb2rhz+WUZAeQ8pulEEikLiGnCwGKexWz15yg64B9+Xeh4I4P4vCEkLGtRmJM6CzeiZB\nUklUsDqsPstK3i4mtQNPvvkGEic2et3vtAvRUec92NucNtiddtfPQoEQPOPRbmr38xOMXhSkxwid\nVYcj9UcQq7o1cePo+3NR9vYit+O0Fi0S1AlYlbtqqJtICBmlcqJzvBa9iFJEITU81e/rKCOMPsvj\nfrWnCHteX+axnTGGBl2DZ5YxNj5qS1OQHiNONZ6Ck92aMOa0C3H206koWv6V23Hdlm6szl1NNaIJ\nIX5LVCdCKVb2WVTjJl27Gozvu4jPnRw2EQ7/bQEWffugx742YxuS1EkeS7s4jkOdtm5A9xmNKEiP\nAU7eiV1VuxAtvzVUVPHlRMSktSMmtcO1zWw3Qy1RoziheDiaSQgZpQScANMSp7mWYt04l4rP/3ex\nx3EOmxAbf/YYassn+H1ti0GG0x9PQ3x2C5Ly3IfCnbwTZocZj099HEDv2my7RYzOhkgoJcpxkR6U\ngvQYcLXzKjrNnVBKlK5tpz+ajpJV7nm624xtWJm7ss/E94QQ4k1RfBFsThsAQB1lQPm+KbizrPOJ\nbbMQldyJtKJaL1fwbseG1fj8zbu99qKbDc1YmLYQWZFZSI9Ih96qR2t1LP7x7FqoJCpUd1eP+drS\nFKTHgH3X97mlAG2riUFnfRQmzrvi2nazrvSclDnD0URCyCiXGZEJoPcdcWRyJxjPobvp1uoQfYca\nR7bMxbIf7RnQdVf9206s+rediM9yf79sc9rAgcN9ufcBAApiC6Cz6hCf1YrOhihwDgVMdtOYry1N\nQXqUaze241zLObclEIxxWPrUZxCKeNe2VmMrFqcvhkqiGo5mEkJGObVUjfSIdOisOnBcb/axm6Ur\nAWD/m3dj2tfOIDKpa0DXVWhMKLj7gsf2Jn0TVk9c7VommhmZCQYGkcSBmNR2tFyLHxe1pSlIj3Jf\n1n0JjuPcJlXEZbS5/dLzjIeTd2JR+iJvlyCEEL/MSJrh6rnense7sSIJN86lYf4jh4NyH4PNAI1U\ng8UZt957p4SlgDEGxhgSc5vQdKV3vXWTbmzXlqYgPYrZnDbsq97nkS/3Tm2GNkxPmt7vcYQQ0peJ\n0bdycKcV1eDGuTQwBiTkNONbv38XErnN45xGXaOr3KU/GGNoN7bjmwXfhEwkc23XyDSIVETC4rD0\nBul/VsQa65nHKEiPYudbzsNsN7v9It+JMQaL04JlWZ7rDwkhZCBSwlIgE8lgc9oQHq/FU3/9f+A4\nQCDkEZXS6XF8l7kLEbIIaK1a18zw/nSZu5AekY7pSdM99uXH5ENr1SIlvx4KjWnIa0s365vx9ldv\ng2d8/wcHCQXpUYoxht3XdiNMGtbncV3mrt6ZkeGeeXUJIWQghAIhiuKL0G3uBgAow00+j3XwDuis\nOjxZ8iR+Pf/XAIBWQ2uf1+cZD51Vh3UF67yWvJwUMwk2hw0xae2454d7IRPJ0GHqcJXSDKUOUwde\nOvIS9l7fi8rOypDf7yYK0qNUva4e1d3VCJeFu7aZ9Z49ap1Nh1W5q7xmCyKEkIGamjAVFoel3+Oa\ndE1YlrUMmZGZSA1PxW8W/AbhsnA06Bp8LptqMbRgRtIMZEVmed0/QTMBuO2rjOM4cByHVmPfwX+w\ntBYtXj76MiwOCyJkEdhfvT+k97sdBelR6tCNQxALxa7g23glEW/98Am3dYt6qx4xihjkxwy+RBwh\nhABwBdC+1idrLVpEyCNcy6cAIEYZg3+f/+/IjMhEnbbO43wH74CDd2DNpDU+OxVxyjiIBWI4eIdr\nG89CW1vaaDPileOvoNvUjThVHGKUMTjbdNbv4fvBoiA9ChltRnxR+wViFe55uktWnXbLi9tp7sR9\nufdBKBAOQysJIWNRuCwcSWFJPieD8YxHp7kTj099HHKx3G2fWqrGz2b/DNOTpqOmp8atilWTrgnL\ns5YjThXn895CgRA50TluxT4kQknI3ktbHVa8fvJ11GvrkRiWCACuYfhjDcdCcs87UZAehU41nYKD\nd7jyb3c3RaDmbDqm3nvWdYzFYYFcJPc6+YIQQgZjZtJMdFu6ve5r1DWiNK0Uk2Imed0vFUnx5LQn\nsTxrOW703IDNaeudACuWYXn28n7vXRBbAL1V7/pZJQlNbWkH78AbZ95ARUcFksOS3fbFKGPw2bXP\n3Hr0oUJBepThGY9dVbvc6kAf+8dsTFt5xm35Q5uhDcuzl/c585sQQgKRF5PndbvBZoBCrMDXJ329\nz/OFAiEemvwQ1k1Zh3pdPRp1jVibv9avZEtp4Wmu3uz5vYXgLJFo0DUEtbY0z3i8c+4dnGk6g1RN\nqsfwu1wsh9aqxeX2y0G7py8UpEeZqs4qtBnbXPVbTVoFLnxegBn3n3Ad4+Ad4DgOC1IXDFczCSFj\nWKomFSKByK0nyRhDm7ENjxU95ld9aY7jsCxrGX4848coiCvA3JS5ft379qQm5/YUoeVqKnjGo83Y\nFvDnuR1jDO9ffB+Hag8hNdwzQN+kkqiw99reoNyzLxSkR5n91fvdescOmxBLv/8Z1FG33g+1Glqx\nMHWh28xvQggJFrFQjClxU1xLsYDeNJ4zEmdgasLUAV1rRtIM/GLeL/wunysXy5EUlgSj3YjEib1J\nTYDg1JZmjOHjyo+xq2oX0jRpXpeB3RQlj8Kl9kv9LisbLArSo0inqRNnms64ZQ4Li9GjeMWtmtGM\nMdh5u1s6PUIICbZpCdNgsveukzbbzRAIBFg3Zd2QLPecHDcZWosWibmNaLqSCA7BqS196MYh/OPy\nPzBBM6HfCbccx0HICfFl3ZeDvm9fKEiPEowxbL28FUKBsM+/7tpN7SiMK0RSWNIQto4QMt5kR2UD\n6P1uajY049EpjyJCHjEk986JzIGTdyJpYhMaryZBJVENOsFIu7Edmy5sQrI62e9efawyFp/XfA6r\nwzqoe/eFgvQocbXzKo7UH0GCOsHnMYwxGO1G3Jtz7xC2jBAyHkXJoxCrjEV1dzUKYguGtAxuiiYF\n4ABNXA+cdiGYLhE1PTUB15ZmjOG9C+9BwAkgFUm9HtN0NRGGLqXbNqlICpPdhPLW8oDu6w8K0qOA\nzWnD21+9jQhZRL+96LzoPGRHZg9h6wgh4xHHcZiRNAMCgQDri9b3+d0UbFHyKCjFSticVix96jOI\nRUIYbAacazkX0PXKW8txuvk0ElTeO0G15ROw+Zl1aL/hWaRII9Vg97XdAf+B0J+Anmp9fT0WLVqE\n/Px8TJ48GX/84x8BAF1dXViyZAlycnKwdOlS9PT0BLWx49Xn1Z+j1dDqGkpiDOhudp8UdrMX/WDe\ng5QClBAyJOZOmIufzvzpkFfY4zgOeTF50Fl1KFp2DuooA+KUcXjzzJvoNHkW+uiLxWHBxvMbEa2I\n9vrdWXM2HR/8xzfw4K+3IX1qjcf+cFk4qrur0aBrCPjz9CWgIC0Wi/HKK6/g0qVLOH78OP70pz+h\noqICGzZswJIlS1BZWYnFixdjw4YNwW7vuNNubMe2im2ubDcAUHdhAjb/4hG3FKBtxjYUxBb4zHlL\nCCHBFq+KH/Bs7mCZHDPZNXENAJQSJXjw+MuZvwwoycjuqt3oMnd5LVZ07VQmtj6/Bl9/9gNkTKt2\nbbeZJTi/txBA7x8MYoEYh2oPDeLT+BZQkI6Pj0dRUREAQKVSIS8vD42Njdi5cyfWr18PAFi/fj12\n7NgRvJaOQ7e/J5EIJa7tR9+fi1lrjrtSgDLGYHaY8UDeA9SLJoSMC6nhqR5D7PHKeFR0VGBX1S6/\nrtGkb8LHlR8jSe050batJhbbX3wAD72wBWlFtW77BEIn9v/lbrRe701hGquMxaEbh9z+aAgW0WAv\ncOPGDXz11VeYOXMmWltbERfX2+i4uDi0tnquH3v22Wdd/y4tLUVpaelgmzBm3XxPcnuZyfbaaDRW\nJGHNf/zDta3N2Iai+CIqR0kIGTcS1YngOA5O3ulaLsVxHJLDkrHt8jZMjJ6InKgcn+fzjMem8k2Q\nCCReZ3PHpLXhif/3F0QkeL62FUmcmPnACRz9YA7u/+V2iIVi2Hk7zjafxbwJ81BWVoaysrKgfE6O\nDeJtt8FgwMKFC/Gb3/wGq1evRkREBLq7by1uj4yMRFfXrUohHMeF7OX6WGNxWPDL/b8Ex3FuwzA7\nX14FTawWC9f3Dq3wjEedtg7PlT6H1PDU4WouIYQMuRe/eBFtpjaPxE1aixYMDM8vet7rMDYAnGw8\niddPvo708PSARiAtBhle/eZP8f3//TM0sTrorDrIRXK8cNcLHtcbTOwLeDqe3W7Hgw8+iEcffRSr\nV68G0Nt7bmnpzfrS3NyM2NihnUwwluyq2oUeS4/bL5i+Q42Kw3mYvvqUa1uroRUliSUUoAkh405B\nXG+xjeunM3Bqx61iQhqZBgabAe+cewc84z3OM9qM+Nv5vyFWGRvwK0KZyoKiZedwYussAIBaokaj\nvhHV3dX9nDkwAQVpxhgef/xxTJo0CU8//bRr+6pVq7Bx40YAwMaNG13BmwxMk74Jn1R+gkR1ott2\nscyOlf+6EwpN73sPnvGwOq1uNVsJIWS8yIjIAAMDGIdLZflu+5LUSTjddBplNWU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"text": [ - "" + "" ] } ], - "prompt_number": 33 + "prompt_number": 34 }, { "cell_type": "markdown", @@ -1031,26 +957,27 @@ "outputs": [ { "output_type": "pyout", - "prompt_number": 34, + "prompt_number": 35, "text": [ - "" + "" ] }, { "output_type": "display_data", - "png": 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1qlArk8mwe/dutfNLIc3LcY6zdzeRBubo3X3kyBFMnDgR3bt3R61atQAAmZmZ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\n3bZdr03v7u3btwv/bxYsWKD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PnjyJESNGYOvWrQCAESNGqLwOWpk1pbKNVa9N725lSRJI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\n3FzUqlXL3Mu0ato8xwCwatUqvPvuuyrvL0/a0fY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+fRqbN2/G2bNnRdfO5TjHqzNuCra7SbIs2WoeNGgQBgwYgL///htLly7F33//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\n", "text": [ - "" + "" ] } ], - "prompt_number": 34 + "prompt_number": 35 }, { "cell_type": "markdown", "metadata": {}, "source": [ - "####2D histogram" + "####2D histogram\n", + "see http://www.scipy.org/Cookbook/Matplotlib/Show_colormaps for your favorite colormap" ] }, { @@ -1061,9 +988,13 @@ "hist2d(bb.R2All,bb.thrustMagAll, bins=30);\n", "title('bb')\n", "colorbar()\n", + "xlabel('R2All')\n", + "ylabel('thrust')\n", "subplot(122)\n", "hist2d(cc.R2All,cc.thrustMagAll, bins=30, cmap='hot_r');\n", "title('cc')\n", + "xlabel('R2All')\n", + "ylabel('thrust')\n", "colorbar()" ], "language": "python", @@ -1071,20 +1002,69 @@ "outputs": [ { "output_type": "pyout", - "prompt_number": 35, + "prompt_number": 36, "text": [ - "" + "" ] }, { "output_type": "display_data", - "png": 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qmXOhWfqw3/aPcSrrN3m/c8XjMnGVrpN5Q8phBXWpISZPnozp06fjscces5fp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\ng812SeIdLr1J3lP7/9C1tmyznXLzXBE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CxaacFnLpuGzOFfm6oaEB+/fvx+LFi5GamoqpU6c69NwlSYIkiZ9M6gzO0ROp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\ns2fP4tNPP8Xy5csBAEFBQQgJCfFxVET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"text": [ - "" + "" ] } ], - "prompt_number": 35 + "prompt_number": 36 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "####Density plot" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#call it Bayes probability if you like\n", + "bb_h ,ex, ey = histogram2d(bb.R2All,bb.thrustMagAll, bins=70)\n", + "cc_h ,ex, ey = histogram2d(cc.R2All,cc.thrustMagAll, bins=[ex,ey])\n", + "density = bb_h/(cc_h+bb_h)\n", + "density[isnan(density)] = 0. #getrid of nan\n", + "mid = lambda x: (x[1:]+x[:-1])/2 #function to convert edges to mid points\n", + "pcolor(mid(ex), mid(ey), density, cmap='gray_r')\n", + "xlabel('R2All')\n", + "ylabel('thrust')\n", + "colorbar()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stderr", + "text": [ + "-c:4: RuntimeWarning: invalid value encountered in divide\n" + ] + }, + { + "output_type": "pyout", + "prompt_number": 37, + "text": [ + "" + ] + }, + { + "output_type": "display_data", + "png": 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Iz8/Hjh07YDQaMWzYMGRlZSExMdGl3bhx4/DFF18ovq7bZPrtt986//vXX3/F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\nREREPsMVkIiISLMCemRKRES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tWK3Wv3WNLl2ehEo1B0AWNJq+CAgIxcGDubDZluPmTT06d+6Dpk3b4auvvsKL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/YcyLCwejnp/QhEUq2uxeztOjX08QnOde1du3axYsVwdujQiz4+QdRoHJm9PehxAgaqVC/Ryyvg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\n+nM0adKkUNcVQognX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gwAOqUSNHvXvfqmXLlunw4cOqUSNLHk+catduKBhgB+GKgqcVHV3RXk40XZH1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\navVZSCT/RlDQk61Owbp48SIEg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"text": [ - "" + "" ] } ], - "prompt_number": 36 + "prompt_number": 38 }, { "cell_type": "code", @@ -1137,20 +1117,20 @@ "outputs": [ { "output_type": "pyout", - "prompt_number": 37, + "prompt_number": 39, "text": [ - "" + "" ] }, { "output_type": "display_data", - "png": 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+nLf37+er776z2sosDRo0YM7XX1vl2PdlZmaS//P/XY5aLZkpKSU+RmRkJJ6K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/PVr9yweD6T3QV23LnC2bNn/7QDk0gkol+/XvTo0ZmDBw9y6sB2zh3choeXN61avEFc3EE0mlK4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EFhTQxt0dJ62WhEuXiLVaaXXXXUyZNg2drm50ZUL1TptZp35g1z4GKc/ViHxR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ck9Z2GxdCUWa6akpBib7TVEMR5dryUWq8BsPhuPp5mEhLcwWfqAlI0omY5eTxHBmIpgSESJVXV8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\n+Ro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qEtrxIwYP+vytvl3PKj5kJOVTV52NeQkkZOiJd3NhxOlMarf8oLx81OGj33Px2lmm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\noSOJTJ862+Cxz65du7Jw0wauDkjHwbNsfKvocg5FO3f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"text": [ - "" + "" ] } ], - "prompt_number": 37 + "prompt_number": 39 }, { "cell_type": "markdown", @@ -1186,20 +1166,20 @@ "outputs": [ { "output_type": "pyout", - "prompt_number": 38, + "prompt_number": 40, "text": [ - "" + "" ] }, { "output_type": "display_data", "png": 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tvmnortDJsfIX6HU4+K3ZzANGIwVTpvCLggIuSkkhXP55iQkgwStEkNFcGtan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\njDHGdDodk8lk7Pjx45Tne5jyc4MxxtasWcM++OADxhhj+fn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"text": [ - "" + "" ] } ], - "prompt_number": 38 + "prompt_number": 40 }, { "cell_type": "markdown", @@ -1223,7 +1203,7 @@ "```\n", "from matplotlib.pylab import * \n", "```\n", - "* or just using pyplot\n", + "* or just using pyplot (this is actually cleaner. If you are writing a library you may want to use this)\n", "```\n", "from matplotlib import pyplot as plt\n", "```" @@ -1240,12 +1220,12 @@ "cell_type": "code", "collapsed": false, "input": [ - "%loadpy http://matplotlib.org/mpl_examples/axes_grid/scatter_hist.py" + "#%loadpy http://matplotlib.org/mpl_examples/axes_grid/scatter_hist.py" ], "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 39 + "prompt_number": 41 }, { "cell_type": "code", @@ -1310,24 +1290,24 @@ "outputs": [ { "output_type": "display_data", - "png": 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QjsAi7ZgjVNUwbtq0iXv27GFoaBSNxkcIjKWqluMXX3xRqLa//PKr1OlGuj2E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WQyidkF5gUqlQonT/4Lv/76K4KCgkb8UH3kkUewePFiL/Ru+rHb7bDb7ZP4jwAEByuxe/du3uYe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\ngg==\n", 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q0WIJ5NGjR/njjz9y1qxZXLJkSW6gyul08vbb2xNoR2A0gUa0Wv2oqvUJzKLV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\nc9ML68SJT9Jqba+JywGqai1+8MGHJW5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nCy+8xA4dulHXQ2gwuOmrdup9OHZQpMhgOhwh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"text": [ - "" + "" ] } ], - "prompt_number": 40 + "prompt_number": 42 }, { "cell_type": "code", "collapsed": false, "input": [ - "%loadpy http://matplotlib.org/mpl_examples/mplot3d/contour3d_demo3.py" + "#%loadpy http://matplotlib.org/mpl_examples/mplot3d/contour3d_demo3.py" ], "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 41 + "prompt_number": 43 }, { "cell_type": "code", @@ -1362,11 +1342,11 @@ "output_type": "display_data", "png": 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OHpkiKqON+vp67rzzTmpqati37yBO53gWLLiHpUtvxmKJVe/ZvPlBrNYcVq36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TpKSkKAG0Xbt2PP/881x99dVceeWVgF1ZKAcsf5b3fN0uotPpCA4OrhVA685BVZ+v\nrN4M9P6gpy09rmaDWq1WJYA2Nuv2VwnWHRz50ur1etq3b48gCKxbt47Q0FC2bNnCsmXLWLJkCd9+\n+61X17BhwwYefvhhbDYbd911l1Lt0mg+XFYl2QMHDjB69GhF0Xb69Gnatm3Ljh07WL58OQBPPvkk\nYC/J/uMf/2DIkCEBW29zRhRFjh8/jtFo5LPPPmP79u306tWLcePGcfXVV9OjRw8lA/W1H64adc9p\noKzT5KzbYrFgsVgAlFYXf469qrsmRw333qIxYrHmUIKVceZLK4oiS5YsISsri/fee8/n2aTNZqNb\nt258/fXXtG3blkGDBrFq1Sp69Ojh0+NqNI5LMsN0Ru/evTl37pzy9yuuuELZw7zxxhuZOnUqjzzy\nCHl5eRw/fpzBgwcHcLXNG51OR9euXfnkk0/YvXs3r732GsOHD8doNPKvf/2LI0eOkJiYqGSgvXv3\nJjQ0tN5ke2/tj/naEKExyMe1Wq3KWuSAUlNTo5RD/dXKIpemDQYDkZGRPnld5KxbRp11O+p/FQQh\n4KVptVJZXQ4uKSlh5syZ9OzZk3Xr1vkloO/cuZPOnTuTkpICwOTJk1m9erUWMJsZl1XArIv6y9qz\nZ08mTZpEz549MRgMvPHGGx5/mZ9++mnWrFmDIAi0bNmSFStW0K5dO+DSal0RBIHw8HB2796tnF+n\nTp244447kCSJ3NxcjEYjy5Yt4+DBg8TFxSkion79+hEREeGw0d4dP1w1/jBEcBdn2ZPaD1WddXvz\npsHRWhx5nvoDRwYSNTU11NTUKGrcioqKgPS/gvPRYPv27WPWrFk8/fTTXH/99X4L6Hl5ecp3COwa\nih07dvjl2Bruc1mVZP1FeXk5LVq0AOD1119n3759vPPOO5dc60pjkCSJs2fPkp2dTXZ2Nj/++CNR\nUVGkp6czfPhw0tLSCA4OdjmhxJHApDm1aHjqSduQib4nohp19hToqR6Opp142hvpjbU4uomQJImV\nK1eyatUq3nvvPSXT8xeffvopGzZs4O233wbggw8+YMeOHbz++ut+XYeGay7rDNNXyMES7KbM8fHx\ngF2hO2XKFIKCgkhJSaFz587s3LnzsmhdEQSBpKQkJk+ezOTJk5EkicLCQoxGI6tXr2bevHmEhYUx\ndOhQRowYwcCBAwkPD6/X1qEWmMgX3fDw8IA70zTFsUetxHUlqnHX3q453kTIilx5Le4Kibw5yk09\nu1Jdgq2qquKRRx4hKiqKjRs3KhNi/Enbtm3Jzc1V/p6bm+vTaScanqEFTB8xd+5cVq5cSVhYGDt3\n7gS01hU1giDQqlUrbrnlFm655RYkSaKkpITs7Gw2bNjA888/j8FgqDWRRRZr/fjjj7Rp00bxOjWZ\nTMrgaX8byqszOW+Vg9UBFOrPyTSbzU7t7ZqLmAYu+K+6s6fszjm7077jDDlwGwyGWsYVx48f569/\n/SszZ85kypQpAbu5GDhwIMePH+fEiRMkJSXx0UcfsWrVqoCsRcM5WsD0EGetK//85z8ZN24c8+fP\nZ/78+SxYsICHH35YUeHW5XJuXVEjCAKxsbGMHz+e8ePHI0kSZWVliqH8Sy+9pGQGO3fuZPny5Ywa\nNaqeH66zYOKL19lfmZwgCAiCUK+Vpa7hODSP/ld1CdbTmwhn5+yqfceZ+tiZcfrq1atZsmQJ77zz\nDj179mzaSTcRg8HAkiVLGDt2LDabjTvvvFMT/DRDtD1MH3Pq1Cmuv/56Dhw4oJgha60rjefYsWP8\n+c9/RhRFRo8eza5du7BYLKSlpSmG8tHR0T7xw61Lc2qLgAv9rnIpuK4Dkz9bWfw5W7Sh2aDy/Ne6\nrTRms5m///3vFBUVsXTp0lpbKBoartACpg84fvw4Xbp0Aeyin507d7Jy5UpF9LNz505F9PPzzz97\nfFF5/PHHWbduHcHBwXTq1Inly5cTHR0NXFpqXEmSGDZsGFOnTmXmzJnK3pPJZGLHjh2KoXxlZSUD\nBgwgPT2d9PR0WrZs2WQ/3Lo0p2HTrnor/TVoWo06kwuEQYNafaz2AQ4KCmLjxo2kpqYSFBTEPffc\nw6233sqMGTMuC8GdhvfQAqYPuOWWWzh69Ch6vZ5OnTqxdOlSZT7dP//5T959910MBgOLFy9m7Nix\nHh9n06ZNjB49Gp1Op2StCxYsuCTVuFartcFMrqamRjGU37JlC6WlpfTt25fhw4czYsQIEhIS3PbD\nrXux98corsbQ2MDtS39YX5siNBZ1qVy2u7vzzjvZtm0bNTU1DB8+nAkTJjBixAjFYENDwx20gHmJ\n8Nlnn/Hpp5/ywQcfXPZG8jIWi4U9e/YoE1kKCwvp1auXMpElKSmpVgCtm42pM7Hq6uqAjOKqS93A\n7antX0NtHXIJt6FA3NwybrlUrt47tdlsvPTSS+zdu5ennnqKAwcOsHnzZjZv3syjjz7Kfffd57U1\nfPLJJzzzzDMcOXKEXbt2MWDAAOVnvqr6SJLElVdeydy5c7nuuuuUdbz77rusX7/eK8fQsKMFzEuE\ncePGMWXKFKZOncoDDzzA0KFDmTZtGgB33XUXf/jDH5g4cWKAVxlYbDYb+/btw2g0YjQaOXPmDN27\nd1fciDp06KAEUDmQWCwWRFFEEASCgoIC0mQv48sZmq76X521dQS6BKtGbeIuq6cBCgsLmTFjBhkZ\nGTzxxBP1XjN5gLi3OHLkCDqdjnvvvZdFixYpAdPXVZ+DBw9y6623snfvXiwWCwMGDOCrr77iiiuu\n8Mrza9jRVLLNnIbUuGA3lQ8ODmbq1KlOn0dT49p7NwcMGMCAAQOYNWsWoihy8OBBsrKymDdvHrm5\nuXTs2JH09HQGDhzI22+/TUREBM8++yyCIDh05vFXAJWdaXw1W9RRW4d677empgZA+TdydhpoZyVw\nbuK+c+dOZs+eTWZmJldffbXD18zb71v37t0dPu7rHmzZx/mFF16goqKC6dOna8HSB2gBs5mzadMm\nlz9fsWIFX375Jd98843yWN0maNlkXqM2Op2OPn360KdPHx544AFEUeTo0aP8+9//5rrrrqNTp050\n6dKFFStWMGLECLp27VrLUN7bfriOUJuD+9PeztlYM7kcLFNdXe3z9h1nuDJOf/vtt/niiy/47LPP\nmsVn3x892PPmzaN///6Ehobyww8/ePW5Nexou90XMRs2bOCll15i9erVhIaGKo/feOONfPjhh5jN\nZnJycppkJP/JJ5/Qq1cv9Ho9e/bsqfWzzMxMunTpQvfu3WuNTLtY0el0bN++nTfffJPFixezY8cO\nnnvuOSIiInj11Ve55pprmDZtGkuXLuXw4cMYDAYiIiKIiopS7OcsFgsVFRWUl5dTVVVVq0eysYii\nSGVlJTabjcjIyIC7GckZdlhYGNHR0bRo0UIxljeZTJSVlVFRUaH0YPpyt0d+baxWK5GRkUqwLC8v\n58477+TMmTOsX7/eJ8FyzJgxyo2W+r+1a9c26nm8fXMRHh7O5MmTue222wL6WbmU0TLMi5gHHngA\ns9nMmDFjABg2bBhvvPGGV43k+/Tpw2effca9995b6/FDhw7x0UcfcejQoUtGiQt2E/7t27fTqVMn\nADp37kznzp256667kCSJkydPYjQaeeuttzh06BDx8fGKoXzfvn0btHlz1ye1Oc2KVKtg1SVYRwbr\ndYeJ+6IX1Jlx+qFDh3jggQeYPXs2EyZM8Nlr1lDVxxH+qvr40+XqckQLmBcxx48fd/qzOXPmMGfO\nnCYfI1B7MoHClYmEIAikpKSQkpLC9OnTkSSJvLw8jEYjK1eu5KeffiImJkYJoKmpqbX8cN3xSVW7\n5DQHUwS1Crah0WCyMEodQNV7oE0da+bKOP3DDz9kxYoVrFy5ks6dOzftpL2EOsPWxgdeGmgBU8Mj\nNF9ce4BITk5m2rRpTJs2DUmSKCgowGg08t///pc5c+YQGRnJsGHDyMjIcGooL+8J6nQ6xVQhIiIi\n4BNGmtq+ojZYl5/T071fZ8bp1dXVPPnkk0iSxMaNGwkLC/P8pL3AZ599xoMPPkhhYSF//OMf6d+/\nP+vXr/dq1achtAzTd2htJRpuKXFHjRpVSybvqHXl+uuv5+abb/bfwps5kiRRVFREdnY2RqOR3bt3\nExwczJAhQxgxYgSDBw9Whmp/+eWXpKenExQUpBiP+8MP19m6/WFE4GisGdQvXcstI3WN03Nycpgx\nYwZ33HEHf/nLX7RAoeFztAxTo1nvyVzMyAPEb7rpJm666SYkSaK0tJQtW7bw7bffsmDBAiVglJaW\n8tFHH9GxY8d6frjqSR3e8sN1hnqqR0Ml2KbibKyZepSbfD8fFBRERUUFwcHB6HQ61q9fz8KFC3nz\nzTfp16+fz9aooaFGyzA13GLUqFEsXLiQtLQ0AK/74l6ObN26lWnTptG/f3+6devGjh07sNlsDBw4\nkIyMDIYNG0ZUVJTX/XAd4S0HIW8hl2BtNpuixH3wwQdZv349nTt3xmw288orrzBixAhNEarhN7SA\nqeES9Z5MdHS0sicD3vXFldmwYQMPP/wwNpuNu+66S7H3u9SorKxk4MCBvPjii0rZWy6Fbt++nays\nLLZt20Z1dTX9+/cnIyOD9PR0YmNjPfbDdYYcnERRbBZesM7s9s6dO8cDDzxAcnIyBoOBzZs3k5OT\no7T6eJPLZbCBRuPQAqZGs8Fms9GtWze+/vpr2rZty6BBg1i1atUlOxfQHUP56upqdu3apRjKl5eX\nk5qaqkxkadWqlVt+uM5aOnztINRYHM2uBNiyZQtPPfUUL7/8MhkZGcrjRUVF5OXl0adPH6+u43Ia\nbKDhPtoepkazYefOnXT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"text": [ - "" + "" ] } ], - "prompt_number": 42 + "prompt_number": 44 }, { "cell_type": "code", diff --git a/notebooks/02_Read_And_Plot.py b/notebooks/02_Read_And_Plot.py index 03e8a2f..271b04a 100644 --- a/notebooks/02_Read_And_Plot.py +++ b/notebooks/02_Read_And_Plot.py @@ -20,6 +20,12 @@ # +#if yo do not have inumpy install. Install it by doing uncomment the following line +#execute it and restart kernel(CTRL-M+.) +#%install_ext https://raw.github.com/piti118/inumpy/master/inumpy.py + +# + %load_ext inumpy %pylab inline @@ -78,7 +84,7 @@ # ##Important information about plotting # -# You should visit [matplotlib gallery](http://matplotlib.org/gallery.html) normally what I do when I want to plot something is to find something that resemble what I'm trying to plot and look at their code. +# You should visit [matplotlib gallery](http://matplotlib.org/gallery.html). Normally what I do when I want to plot something is to find something that resemble what I'm trying to plot and look at their code. # @@ -249,7 +255,7 @@ def any_in_DMass(x): hist([bb.R2All, cc.R2All], bins=100, histtype='stepfilled', alpha=0.5, label=['bb','cc']) title('Now they are aligned'); legend(loc='upper left'); -savefig('bb_cc_r2all_comparison.pdf', bbox_inches='tight'); #bbox tight get rid of all the padding +savefig('bb_cc_r2all_comparison.pdf', bbox_inches='tight'); #bbox tight get rid of all the paddings # @@ -362,6 +368,7 @@ def any_in_DMass(x): # # ####2D histogram +# see http://www.scipy.org/Cookbook/Matplotlib/Show_colormaps for your favorite colormap # @@ -369,9 +376,30 @@ def any_in_DMass(x): hist2d(bb.R2All,bb.thrustMagAll, bins=30); title('bb') colorbar() +xlabel('R2All') +ylabel('thrust') subplot(122) hist2d(cc.R2All,cc.thrustMagAll, bins=30, cmap='hot_r'); title('cc') +xlabel('R2All') +ylabel('thrust') +colorbar() + +# + +# ####Density plot + +# + +#call it Bayes probability if you like +bb_h ,ex, ey = histogram2d(bb.R2All,bb.thrustMagAll, bins=70) +cc_h ,ex, ey = histogram2d(cc.R2All,cc.thrustMagAll, bins=[ex,ey]) +density = bb_h/(cc_h+bb_h) +density[isnan(density)] = 0. #getrid of nan +mid = lambda x: (x[1:]+x[:-1])/2 #function to convert edges to mid points +pcolor(mid(ex), mid(ey), density, cmap='gray_r') +xlabel('R2All') +ylabel('thrust') colorbar() # @@ -434,7 +462,7 @@ def any_in_DMass(x): # ``` # from matplotlib.pylab import * # ``` -# * or just using pyplot +# * or just using pyplot (this is actually cleaner. If you are writing a library you may want to use this) # ``` # from matplotlib import pyplot as plt # ``` @@ -445,7 +473,7 @@ def any_in_DMass(x): # -%loadpy http://matplotlib.org/mpl_examples/axes_grid/scatter_hist.py +#%loadpy http://matplotlib.org/mpl_examples/axes_grid/scatter_hist.py # @@ -505,7 +533,7 @@ def any_in_DMass(x): # -%loadpy http://matplotlib.org/mpl_examples/mplot3d/contour3d_demo3.py +#%loadpy http://matplotlib.org/mpl_examples/mplot3d/contour3d_demo3.py # diff --git a/notebooks/03_Multivariate_Analysis.ipynb b/notebooks/03_Multivariate_Analysis.ipynb index 8dd7fe7..d556f5b 100644 --- a/notebooks/03_Multivariate_Analysis.ipynb +++ b/notebooks/03_Multivariate_Analysis.ipynb @@ -86,6 +86,13 @@ "outputs": [], "prompt_number": 3 }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plot the distribution. (See more information on array indexing and slicing .)" + ] + }, { "cell_type": "code", "collapsed": false, @@ -101,14 +108,14 @@ "output_type": "pyout", "prompt_number": 4, "text": [ - "" + "" ] }, { "output_type": "display_data", "png": 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6nWzevIf6eoFgfZI41qxZ0nfczJlTmTnzZgheYaGDnp4e1Go1arV61EWN7lWS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qmzl2/BgTPROoLhVRKxC4IikocwqiJrK2bi32vJ3zr57HZrRR4avAXGnGbrEzMTpBUaIIr8VL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vnExCQQDAY5e3YPaWnldHXZ6ex0YrEYh/1sDAdSqfgbwyz8SCTffpqoq6uLTz65QHj4KoxG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\nTYDPnasiNnYJCoUKvT6CxsY0qqqqeiTghYXn2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"text": [ - "" + "" ] } ], @@ -203,7 +210,7 @@ "DecisionTreeClassifier(compute_importances=False, criterion='gini',\n", " max_depth=None, max_features=None, min_density=0.1,\n", " min_samples_leaf=10, min_samples_split=20,\n", - " random_state=)" + " random_state=)" ] } ], @@ -364,14 +371,14 @@ "output_type": "pyout", "prompt_number": 14, "text": [ - "" + "" ] }, { "output_type": "display_data", "png": 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hmlMnDxMORRhQXEz/AaP7ZAaqqiqf7tiG0fgKBkMGFRVX+XTHLygrNaE3BJk4\nqZgJk+a1u++BA1s5f1YmJeVNfD4Xx0reRRBFvM0D0OvTaGjcz/Dhxff0W683sWDREnZuP4XJrGK1\nTCYcOUN2zoB2j/G48kQJtyRJpGc4aGg4Q5J9FHV1X1BTvZWyq5NJSy/oVuU4b7MLr9eIwxGP+zab\nC6h3/QKv1/3QcZ+VFVdobMgiLS3uHA2HCzhS8st2hfta+Rm2bj6IVjOFaMzHpYvvsfrF72K2JHXY\nvt/vYeP6P9DYaEVVgxT1MzB/4Zp7RhQmk+2eWO0RI6cxYmTcBh4KtaIoyp/MiBviYtydQmFdIRaL\nIYp3r70gaIgpwT45VnfweOrZv+8kycnfR5ZNBAN17Nj2Nm9+f0Cn9c2bPS7WffQ+sehMNLKF8qv7\nmDs/zOChE3u9j7FYlEAgjMORTjgcpKqyAb1hKlZbITbbYI4d+VeGDBvf7rt99UoZTudfIUl6tFob\ngdbxjJ8QoqLiAH5fK6PH5DN5ypL79ps4eSHhcJSL5y+jqJeYPHUcA4q7X3DsUfBECTfAvAXL2bLp\nQ8quvkNNjUJe3mqulcvU1LzN6he/12m96vbQ6gyoipdYLIQk6YjFgqD60GoffmQaz8a8+0KIohZF\nUdp1ch47ehSLZRkmU3yEVFsb4vr1c4wYOeO+dt2uSlpbmzlz+ihNTaNwOqehqgrlZevJLzjKsOFT\n79vn61RXX2P7lo20toLFIrJ46cp7svcqK69y6sRxVFVlxMiRFBT2bnrzHysjRo5g147tKMocYtFW\nROkI/fq98Ki71UaL34MgpCPL8YiNeNliLcFgS6cmkxs3LhIKjCYtPR7PL2usnDq5oU+EW5Y1ZGWn\nUVNVgtE0nFjMjyzfxGicGp9RizbCoQC081rrdDrCYQ8GQzqqqqKozaSlD2Li5GWdHlOSZJ6evZzp\nM6OA8NAmyceBJ0647XYnL7785/zq5/9ITu6bGI1xZ1BtrYeK25coHjThodqzWJJ5auJQjpS8jSAW\noirXmTRlRLdsgZlZAzCZDtDQcBy9Lg2v7wsmTGx/yTIlpiCKd6ftgqBBiSn3bXe0ZBdHj5Qjiunc\nvFFCTm7Rl9uLaLWFNDVVd9qnYLCFLRs3Issv4HTm4vOWs2H9Byxf9TI2mwO3q4JP1m1Hp5uPIMhs\n2rCLZ5/jocQ7EglTXnYCv89PekYOuY9pCFpvM3DQeCRJ4tLFQ2i1GsaOW96hU/XO7StcvnwBWZYY\nMXJ8W2rh2eSPAAAgAElEQVR3X2KzO5HEKoKBOvSGNLzeq5itKgZD54MbURSIJ3h/hYIgPthMEo1G\nkCT5oU0q8+avYOeOj6ms2ItGcxln2jI0GhuNTWewWluw2tovJTBz1iy2bfkAr3ckquomN9dHbl7X\nE2L6qlbQt8ET2XNJkpBlLbL0tWkqIirdqxvw1MS5ZOdcxet1Y7XNJCure/Yuk8nGyudf5mjJPvz+\nC4wZV8jwke2PhgcO7s/unb/DZp2DKOvQaE6SX3BvvLLLVcHRI+Wkpr6FJOloasqk/Op7pKVNQ1Vj\nhMMXSE/v/EH1NrsJh1Ox2eIj7GgsyIXzl/F5P8RqU3E4rMjSDGy2L8VWVbhw/kSbcPv9HlpbmrHa\nUtstxRmLRdmy6R1u30pClrOIRvcza46bESOnPezl61MURSESDqLVGRAEAY+nnssXTxKNRhlQPLRb\nzm1BEBhQPPaB0+ybNy+wacPn6HWzicVCXL3yES+sWdPn5XHNZjsLl8xn5/a38fm0mK0qS5aueuAI\ns6BwGMdMb+Nym9DIVoLB/cyf2nE2rd/vYdeOj6mqrENv0DBv/qKHyig0W5JY+fz3iEYj+H1N7Nm9\nmbq6f8bpTGXO3NUd+iWK+o1k9YtJ1NbeQqfLpbBoabeWuAuFApw6sY/6ejfp6U7GjJ35rRWu6i5P\npHBDvKbHgb2fYDJPIxxuwGQuJSf3zW61JQhCr1X4sielMW9h59PlutqbnDp5nlhMy42bv6ewyMaq\nF966zxYbaPV+WR9DS0tLM2npA2n2RLh5878TDrUweEg2+Q/IWjQarYCbSMSPqsYovbIZWX6etPS5\nBIOVnD3zv0hOuRseqKgRJCluA794oYS9ew4DqWi0bpY+++x99YerKsuouKMjPX3Fl4lRwzh44KcM\nGz7loWzpzR4XN65fAEGgqGhYr0Zm3Ll9hZ3btxAMQkqKgWkzZrNj23ZCoQlIop4zpzf1aXnOM6dO\nYTIswmKNXzuXK0xp6VkmT+lb4QbILxjKm98vJhhswWDo2qozVmsKq1a/wrkzRwgEKyguntrpDGzX\njo+prhqMw/EmwWAdWza9y8uvOdoNjewMWdZgT3Ky4vmuv8fOtLx28yNqa25w4ngJ4XCEIUOHUDxw\nXLszgVgsxrYt71FxJwujcQo3b1ykvv5DFi999bGOg39ihPsrO2wsFmP4iBGMHjMTg97A9WvHMJoM\njB336kMvseT3e2hp8WAxJ3d7mbKHRVVVdmzbiCQsp/+AQmKxEG73b1DV+80k9qR0YDuXLnxOS0sS\noVAZOq0bScrHnjST6mofGze8zbQZz3DpwhmikRiDhgy9Z7RjtiQxc9ZE9u75FYGAhnDYw5Cho5Fl\nDWZzAUZzLqq6B7cLBEFC4QtGjVmKx1PP3j1HsNt/8GUxqQq2bvmAN773V/e8/LFYBEEwfm2ZNiOx\nmPrl+XRNuBsba1j74XuEAmMAhWNH3ub51S/3ilPR72ti66ZtGIyvYrVm0OQ5xwfv/QyDfhXOtPis\nwOu1ceJYySMpz/ltEL/XD2f6s9udHdY1/zqxWJSqyjocjjcRBAGDIR2/rx8N7qqHFu7ewu2qZP3a\nDUjyfGTJyI5tn3658MH9ZlSPp47KiihO54IvV5Av5OaNn+LzNjySsM6u8kQId23NDT5Ztw2dbiGi\nqGHrpp0sWSYweOjEbjtMrpae5LNd+1BUB5JUz8LFC8gvGNrLPb8fRYnR3NyC0xkvaCRJOkQxHtKY\nRsE921qtKfQf4ODypXVodYUk2U00NTmIhJ8mPz9ehOrWjd9x4/q/Y7G8hCTpuXLlc559LnbPCGnY\n8Cnk5PSnpuYGO7Y1Y7XGTR6BQC1Wi5bnVrxA2dXzKIrCwMHLSUvL/7JSXhYaTdweajLlUF8vEQq2\n3PORS0srwGD4jKamsxgMWTQ1HWLI0H4PZT88c6qEaHQ6aenxxR7cbjNnzhzh6Vl3nUyhYCuBoB+z\nOemhpsNNTbXElFwMhniEUJJ9BFUVEXS6ux+fvl68YNTo0WzeuIOYMgslFkISD1Fc3H6p2icNUZQw\nGLQEg7UYDBkoShRFqcNg7Pt3qSOuXbuIokwkxR7vgyAu5PzZne0KtyAIcM+gSQWUeCbqY8wTIdyl\npReQpBnYbF/GNqvzuHC+hILC4bhdFfHU6NTsLscot7Q089mufVgsb6LVJbWFSb3xVr9O43Z7A0mS\nSUtLoanpHElJIwmHm1HVG9iT2rchajRWhg//MyzWAUiSgZLDf0sofPe2eb0R9PrBpKTE7aw+n4HT\nJ/ffN7W1J6VhT0oDRPbs/hUqTmSxnoVLF5OWnkda+r3TTas1FYTKL9O+k/H5rmO2gO4bdm6jycqK\n51/ki/2f4m0+yNhxuUyc1LlX/5uEQxE08l2HmUa2EA7erfB4tfQkn336OYpixmQKsmTZqi4794xG\nK4pS2xY1FAzWk5KSjCgepbk5BUnU4/PvYtqMvgsHKygczrIVMpcvnEfSSIwa9fxDZYbGYjGulh7H\n7XKTmppC8aCnHptICEEQmDt/IVs3vYfPX4Qaq2f4yFQyMh7d0muSJKGod58fRQkjye1fL7s9jYIi\nE9evbcCgH0ggeJmBg5zdXpT626LHwh2LxRg7dizZ2dls3bq1N/p0H5Io3ncjBAF2bf+AsjI/omjG\nbNnG8hUvdWm9Rr+/CUV1oNXFY6b1hjR8fjOtrd4Ohdvna6TBXYlWZyQjo2dFguYvWsGWTR/iqt+H\nKAV5Zt7MDtfDS89I5/y5i9jEoYCKySSgxo4SCvUjGKxHki9iMLSfoNAegwY/RU7OgLiJyJraYfik\n1ZbKvPlPs3vXr/F6zRgMARYvWdmuYCQnZ/Dsc691uQ9fEQmHOHP6ALW1N7hz+yL5Bd9DkiRaA/vo\nXzwFiMcif7rzADbrW2h1SXi9ZWzb/DGvffdHXboHKalZTJw8iCOHf4UoZiAIt1i28kV0Wj0njh0h\nGosxbeaDHYw9JS9vcLcKPqmqyt49n3DhfBSttphwuIw7FbeZO++Fx8YGm5c/hJdfc8ZT1g3Devx+\n9ASPpx5Pk4vGhn0EWmuwWIuJxb7gmfHtp7OLosj8hWs4f+4QLtdF0pxOho2Y/Nhc247osXD/9Kc/\nZfDgwfh8fZcyOmTYWC5eeA+XS0UUNCjqF6Sk5nH8aIT09LcQBJGGhhMc2L+TJc8+OFXdYklBllxt\nYVItLXfQ6VoxGdu3kVdXX2PT+o1EY4UoSgNDhp5m1pwV3U5k+SqkMdDqRaczdurBHjR4AvV1tZw/\n/y8ISEyaUoTNlsStm++Rkmpk5qyX2LP7Cxoa0pEkPcHg58yZO6PT45stSZ0m+nzFgOLR5OUNJBD0\nYzLZe7UKoKIo7NrxEdeu2TAYVqDVbqHizv9L8aCRLJg6jqJ+cYept9kF5LZ9ZK3WAdTXRwmFWjtc\ncPabPDXhGYqKBtPS4iEpaUab7XLpc49modeHwedr5PKlKtLS/hJRlFCUUVy98m9MmOh6ZDbk9rDZ\nHT1a5Lo3aPa4+OiDdwiFJmJP+g5u9wb6DWhg8pRFnS7qq9FoGTP26W+xpz2nR8JdWVnJjh07+Lu/\n+zt+8pOf9Faf7iM5OYMX1rzMpUsnUaIKxYOXc+dWGbJsbltKyGwqoLGhpEvtGY0WFi5ZwPatb+P1\nmzDoAyx+dlmHArp75zY02lUkmfNRlBgXL7xN8cDSHsUrS5LUrnjGYlFuXD+L3+/F4cwiO7uYp2cv\nZ8IkH6qqYDRa7xsNJKdkcu7MsS+dk7N6tbi7Tm/sk6ppPm8D1697SEuLe++t1r/GVf8zFi567h6n\npNmSjKpWEon40WjMtPhvYzQKD5Ug1drq49q1i/h9LeTmBbFYUx77EdVXKLEooG17zuN/a+9bei8B\nlJWdJRQYhzMtHoJrNqejqnsf2UrsfUmPhPtHP/oR//RP/4TX2/114bpKUnI6U6Yuavs50OojGj1C\nNDoaSdLjaT7J0GHtmxvaIy9/CG+8VURrq7fT0aSqqni9PlJS4jZJUZQQxQwCgd6fYSiKwq7tH3L1\nqoQkZaMoe5g1p57hI6Z2mhHqcOQw+5m+T+jobeLaqQJfiqgQj8OPRiM0e+qRZS1JSenMeHosB/b9\ngnhYoouly5Z1ebYTCgXY8PHbuN0D0Wr7c/7cMabP9PbKCCsUCtDS4sFktPVZSVCLNZXMLA3VVZ9h\nNg/B779CRoaArYOklD9lVEUB4a6kiWL7SW1/DHRbuLdt24bT6WTUqFHs37+/w+3+4R/+oe3fM2bM\nYMaMGd095D3k5Q9lyrRajpb8H1RVJr8ghSnTnu9we09THXdulyJKYtsySA8qIgRx50tefg63bx0i\nNXU64XAjUEpqasfH6i61tTcoLw+Snv4GgiASjoxm3+c/YcCA0egNXTML9AWNjTX4fU3Y7c5eC5Gy\n2lIp6pdEedlGjIYhtAauUFhkQpI0fPT+L2ls1KEoLYwYmcf0mc9SWDSE1lYvNpujyyYSgKrKq7jd\nGW31YyKRQo6W/Cujx8zs0ai74k4p27ZsIRKxIcvNzF84n4LC3lsJ6CskSWLx0hc5cng3dbXbKChM\nZeLkl56IrL9AwI/f14jxG/Vz+oqifkM5fuxDPE02JNmI37+byVNHd6utSCRMIODDaLR2K6nnYdm/\nf3+nOvpNBFXt3jLFf/u3f8u7776LLMsEg0G8Xi/Lly/nD3/4w93GBYFuNg/A1l0Png6Gw0Gi0QgG\ng7nDF7G+7jbr164jHBmNqgSxJV3l+dXf7fLD1NriZdeOdVTcqUOjFZkzdy79B3TvgeiMO7cvsWnD\nJRyO54kpMW5cv0xlxY8ZOKiY8RPGMGnygm+9QNTZ0wc4sP80gpAFwh0WLJzVa6uQRyJhzp85SG1d\nPQ5nKqNGTWP3ro+5caOI1NRJKEqUurp3WbpsBEX9unfM69dOs3XzLdLS4ovORqMBmpv/hR/+xd92\nW7jD4SC/+/W/otW+jNGYSTBYT2vr23znjR88dK2cP1bu3L7Cti3biEZTEAQ3z8x7muKBfV/Iqa72\nJidPHGlLvOk/YMxD3+fbty+zY+tWwhEDBn2IJc8u71Zm7eJ53Y/8eZB2dvuz/eMf/5gf//jHABw4\ncIB//ud/vke0vy26Mmo+euQLBGEeaWnxELm6Oh2XLxxj3IQHl9+MhEOcPHmAQCBCYb8cpk6bhz2p\nb5xCqY5c9PqdeDwX8DRFqaw4Tnr6HJzOFzl+9ENSU08wcNBTqKrKxQuHOXn8FIIAY8ePZcjQSb1u\nt/U2uzmw/yTJyT9Alk2EQg18uvPX5OUN7lZKsKIotLY0o9HqUVUFt7uSnLx+jB73dFvf6+rcWC1x\nk5goykhSPzyehm6fQ0ZmfyyWfbjdR9Dr0/H5DjN+woNrpHdGi99DJGLFbo+b5vR6Jz5fKi3+poRw\nE/8g79i6FZ3uZZKSMgmHmti96zdkZRV1ySneE9LSC1i4uODBG3ZAa6uP7Zu3oze8ht2ejt9/iy2b\n1vGdN/6yV53zPaXX5luPs7MnGLx/GaRAqKZL++7ZvZ7SUjM22zJu37qDq/49Xnz5+31i0zQaLSxf\nuZr9+3Zx88Zh0tLG03/A80iSDp1uBNXVNxk4CMqunuKzTy+RlLQGVVHZvWsDOp2h12cBLS3NCIKz\nrbqcTpeC12skEPQ/tHD7fU1s3fwBrvoIoVA9kUgQs2UsitLM4CHJzH5mJaIokpHhpLz8Ag7HNGKx\nMIpSRnLymG6fg9FoYeXzr3Ls6D58vlLGjsvvsH5Ml9s02ZBlL4FALQZDOqGgG1F0YzL3TJRUVaWp\nqZZwKEBSUvoTtZTW1wkEfITCemxffti0uiRUbxp+f1OfCzfEn9vr5WeJxWLkFQx6qPLMPl8D0ZgD\ngyHuIDeb83G5DLS2ND/yqJmv0yvCPX36dKZPb3+xgO4SDAapqb6DRqMjJTWrRx+G4oED2LN7D7K0\nhJgSJBIpobDowQsKh8NBysrukJb23xAEEYMhg/r669TX3+5woYOekpKaxfKV38Vms3H5UhqybEJV\nVcLh29jtcdPOtfJyjMbp6PXxkb8xPJ1rZee6LdyRcAiXuwJJkklNzWmL1bbZnchyLa2tlRiN2Xib\nSzGbo92yV+75bDNu1ygczslcOP8zmhqTGTVmLiaTjYsX3qVf//MUFo1k6owFeDzv46q/gKq2MnZc\nMfkFPSsza7WlMmfuyh618XV0OgMLFy9k+9Z38PuTEcVG5i98pkejbVVVObB/M2dP30YUkzAaXSxb\nsbrD+P6+IhaLceH8IW7fuoPVambcUzMfOl3eaLRiMIRoabmDyZRLMOhCFOuwWO9fNq47NDXWUl9/\nG53OSHbOICruXMJVX4vVZiMjsx+frPsDzc2DEQQ9msPvs2LVctLSOx+F19fd5vKlMwSDLQQDNwmH\nm9FqbQSD9chyC4bHbCb1WHo4XC4X//RP73LmXBKK4mPw4BRmz13VbfvusOFTiEVjnDsbXwZp0ZIp\nZGcXP3A/UZQQBIVYLIQsG1BVFZ+vmm1br6LT2hkybDBjx83qdhZbNBrhyOFdlF4pQ6/XMW3m021J\nGhMmzaa6+h3q62+jqmFy82IMGxZPtDEYdEQinrZ2whEPBmP3Mj79viY2fPIHPE1JqEqQ/EINCxe/\nhCxrMBotLF22lO1b36e+XsBmk1m0ZFW3HGM1VbXYk+LFt0KhVmTNNAIBPxZLMqKQQ0tLMxCvaLdq\n9Vv4vA3IsvZbGaF1h7z8Ibz+Zj4+XyNmcxIGg7lH7VXcucyZU26czh8iiho8ngt8vnsrq1a/1Us9\n7hpHDu/g+DEvZvMkbt+q5vat37P6xe91OPq/Vn6GY0ePosQURo4ewdBhk5FlDYuWLmPrpo9wuyyI\nUjPzF87rFQflndtX2LxxO7HYIFTVjSy/SzjUD412GNHITQyGrQRDM0hPj5tBPR4HR0sOsvS5joW7\nru4WH3+4HogPPkOh49TV/QS9vghJrGXB4gV9nlH9sDyWwv3++9tpbp6GwzE6Hjd98X0K+52hX//u\nTZlFUWT02JmMHjvzofaTZQ0TJo3n0BfvotWMxOu7TGPDOZyOf0AUkzh8cDuiuI9x42c/uLF2OHJ4\nFyeOB0lN/R6hYBObN3zMmpespDqyMZvtvLDmLerrbyOKEk5nHrFoBEVRGD12CtfK/0BtbVy8zeaL\njBr9arf6cPjQbpo9Y3E4pqCqKjeurefK5buLM2RlD+CNt/6aUKgVnc7Y7Y9nSmoSDQ3XsNuHYbGk\nUV19GK32uXjVQq6QknLX3yBJ8pfp+Y83er3poSJcOsPvb0IQ89pW1LFY+uN2900mckfEYjFOnzqH\n0/k3SJIOi6UfdXU11NRca3fWc+f2FbZuPojFsgxR1PDZp1uRJJnBQyaQmdmP19/4C/z+JoxGa6+Z\nfT7/bBcGwwuYTDlEIq0c+uI/MXzkPFJS8lDVCVy88N9JSrq7CpFGYyUUDnfSIpw7cwJBnEVycnzG\nKogyOblnGTd+ElZb6rcSEfOwPJbCXVnZhN1ehK8lPuqVxHy8Xs+Dd+wDxo2fTUrKOWprq6ipbsBg\n+A4Wa7wOQ5L9GUovf9xt4b5aWo7BMI8rl98lGPQgCC1cv3a2rY6FVqsnO7sYV/0d3v39v9HsjWA2\nSSxa8hyrX3qd2zcvgiCQn9/5kmed0djowWiMV8kTBAGNtuC+xRlEUezxiHLWM4vZuP5DXK7TmK21\n9DNVEw7/nmg0wsxZk/8okyQeBntSOiifEo1ORpZNNDWdJie3fdusoii0tHjQaHS99uGA+P2PRzN8\nPfZZoS3O/hvE10ud2raKUzAwgX17PyQSCZKXNwh7UlqvLxvX0tKK3f7VRz0KggVFuZucZLWlE4ke\no8U/AknS4/V+xvgJnc+uFVVF/Hr8tyCj1ZnIyHx09VYexGMp3AMGpHP06GlUdQaxWJCYcoWUlEmP\npC+CIFDUbyRF/UZy/pyZitv+tt+FI82YrToaG2sovXwGFZUBxcO7XABJ1gicP7cWWX4BWc7E49nC\nieMljJ+wsM2mH4mE2bzxY5TYUtKc/fH7b7F548e89vqfMXR4zxcryMrO5PSJUxgM6ShKhHD4AhkZ\nvV/ZLSUlk5df/QGNjTVodQaSktLjJhNZ+1h56x8VmZn9mP50FQcP/CuoehxODbPnrLlvu5aWZrZu\n/oD6ujAQZMKk0YwbP7tXggNEUWTc+DGUHP4Io2E8oXA1qan1ZGY92+72Op2WaDSeiBYOeygt/QCN\nJptIKIZW+wdWPL+q3VrZPaGoXwFXSz/H4ZhNOOzDYm0gEDhJMKinpeUG6ekxJk5ewskT24lFY8yc\nNYxhw6d02ubQYSMovbyD5ua4HIbCexg6bEGv9ru36XYcd5ca72Yct8/n42c/+4A9e70IQpgJE0cz\n7qk5jzxyJRDw8/Ha3+F2FyBiRpZPM3P2BA7sO0I0OgkBCUE8xMoXVpCWlv/A9k6d3MUv/n03wcBc\nFEVCo/FT1P8Yf/03/3db6dSmxlrefWcTDscP2vZzuX7L6pee6ZXlr8LhIJ/uXMuN6/VAlDHjhjF5\nysJHfq3/VAmFAkTCQYwmW7tmqe1b3uP69TxSU6cSiwVxu99h+cqppKXlI0pyjz+CiqJQeuU4d+7c\nwWoxM3J0x1m7Xm8Daz94G79/OA3uc7jdOsaOew2TyYan6TzZuedYvPSlHvXnm4SCrez9fBPXym9g\nNBmYOm06FXduU1VZQ0qKnanT53UrSazizhXOnj4FwMjRY3ol+OCxjOPuSywWC//1v36P/P5NyJLm\nsQmLMhjMrHrhDW5cP0skEiE7Zw0Xzh0nFpuOwxGvJd3UaODMqWPMW5D/wPaysweiqh8giOnotcmY\nzDFqqtcRCre2CbfBaEEQmgmHPWi1diIRP9D4wHUDu4pWq2fRklcIBlsQRanLpXET9A06naHTe1BV\nVYvd/iyCICDLBhQln52f/ZKApgVRFZgwdBnjxizo9odXFEUGD5nQbu3qb2K1prD6xe9y/fo5zp6O\nkJQ8sc0erNHYCAZC3epDZ+j0RuYvXHPPAty9UdkxJ3dQn0WK9QWPpXBD/IvzODoF9HoTg4dMbvs5\nEokiiXdjmkVJRyQS7VJbPl8j4bAbJXaQUCybYPAkeflZtLZ4SUpKbzvenLkz2b3rt0AuqlrBzFkT\nu7WYcUfEVy7pmg3b7/dQV3sTjUZLVnbxE5F6/bCEQgFu3jhLJBImK3vAPXHAsVgUj6ceSZKx2Rzf\n+swk1ZFMTU05yUmjUZQo9Q2fEMivo3DCaGLRKIdOrMORnE1B4YgHN9YFVFWlvOwUlRUVWCxmho2Y\ndI9d3WS2YzLZMJptNJR+iMmUik6Xite3h/ETu7d2a1f4U58R/vG9dX2Ip6mOg1/sxtvsp6Awj3FP\nzWbQkGFcurgDr9eIIEgEAp8xdFjXYtqvXyvHYhmCLA9DFPREIs8Qi629p4h7S0szGo3MzKfHYDLb\nSUqa2usOn64QCYc4f34/n326A608HlFSyMkrYcmzr/5R2ahDwVbWr/sd9fXZCIIVWXqf51YuJTOr\nP4GAn62b3qOmRgU1xMDB6cx+pv0a5d3lyuVjHDzwBZFIhKHDhjBl2sJ7Po5Pz17EhvXv43KdQ1G9\nmB2NZA4pRhAFZK0GTbqWOvftXhPuE8f3cOiLO+h1YwlHqikve5uVz7/ZloB1/txBPv/sCnr9VPQG\nB9ev/Zis7EwKi7Kw2ZPvGRl/nUgkzM0bZwkGWknLyO+SafFxJxQKUFV5FVVVyMwaAPTdwPOPWrhj\nsSiXLpbgdjXgcDoYPGRit1+y1lYfH699l3D4aQyGLI4dPURr62ZmP7OSZcujnDp5GFVVmTWn84VV\nv44ky+TlT6au9gQxJRVFLWPgoMw2G11jYw3r175PIFCEqgbIyLzCsuXf6Vb/e0Io2MqG9f/B8WNN\nBIOjMZlqGTR4DXduHeb6tVMMHNS95eMeR8rLT1FXn0dGeny9RZ83j4MH9vL8mv4cObybmpr+OByz\nUFWFSxfXkpNzjMFDe8dxXllRyq4dJ0iyv47BYOLUyS3odHuYMOnuQhl2u5OXXvkBTY01aLR6Sk5I\n3Go8j8FmRlVVIk1hrKm9UwhMURSOHTmOw/FfkGUjMJK6uvepri4nLz/uwD525BgpyfGVpJKSRnD5\nUgPe5pvcujWQm9dLGDP+OlOnLf7/2Xvv8LjO69z3t/eeXgAMMDPoIAoJNgAk2HuvIilRorpkU9V2\n4iSOk5PknPPc5+Q890lOnJxrX/v6uMaRZEW2RFESey9iJ9gbSAAESPQ6KNP77H3/GBIkRRKFBCna\nyfvfALO//e2ZPWt/31rvet/e4O31OnE5Ozh8cBctLamIog3YwMqn5/WpgaMoCh3tdYRCfpJTMod0\nxzkU8PvcfLb+fbq7MhAQMSccYOGct0hJGZqmo6/ijzZwy7LMv//2f1N+SYVOW4jZXENrcxOLl730\nQNus9rbr+P252O1xLrlWu5rL5f/E/IUxhuWO7VcDu7LiJIcPHiIaiVI8bizTZy6nuGQiFZc/Y9iw\naUQiLgSxkWUrbqkOHj60h0h0EXZ7/IZuadpIZcUJSsYNbZdqf7hy5QRtbbmo1VPQaMYRDl+hsXE/\nFsswfD7fkJ4rGPTR2HAFRVHIyhr1yEycFUXhyuXjHD9ahizHGD9hPJMmLyQcDiOJt6iVGo2FQCDO\nC+5o78RkmnaDNieh0RTS2dVyv1MMGk2NtaikSWh18cCblDSXmurPmfaV54JGo+vtBJw99UU6dtbj\n6GpADskMT5hI4ch72+ANFoqioChKL7ccQBDUd9AFYzEZ4cb/o9EIHe09jB67klT7XGQ5wrkzP6O4\nuB1LchpXq86we8d+XO4QjfU+ise9SHJyGsFgEV/u++19A/ctFyAHomhFrd7Os2seTPjpq+N2Ohrx\n+91YktNJeIjOzvPnjtDTPZbU1LjTTqfjKFu2fMkbbzz/UHO8H/6oAnc0GsHt7kSt1lJ+6ShHDzdh\nMqGzrBQAACAASURBVP093kiYQKCOixePMW1m94C+oNaWa/T0tGEyWcjOGY0kqVDkQO/WLxYLIEnC\ngB4CTY2V7Nx2ksSkN9DpDJw8sRm1Zj9Tpy3hxVee59LFM6BAUfFrd9yMXrcPve5WflWlTsPrfXDB\npQeFz+tDrUrFYkmgtbUejcZOIHCYpMSe3g61h4WiKLS01LBl4+8J+IsQRBUm02FefHntI3Hbrqsr\nZ9eO81gs30St1nDk0Aa02iNkZQ0HPsfny0WtTqC7ezczZsVztalpNi5euIxen4GixAiHq7Ba7+zI\nu31lmGLNGlSdxmAwEIl19L4OhRwkJ/ddmE9MsvHa6v+Jo7MRlaTGZh82ZKkbSZIoGV/E2dOfYTZP\nJxhswWxuJC39FlWudOJ4jh35HLN5Dh5vI5LqChbLnwFxPWxBSCIcDuD3udm1Yx8J5m8B1bSqG6ip\nvsaESVbU6iR8vtB90ypNjZVcvODEbv82oijh9Vxn984tfPPNv3jga1MUheNHd3DyxHVEMQ1R3Mmq\nZ5Y/sAmJ1+NDo8npfa3VpdHdff2B59cf/mgCt8fTzcbPP6KnR4uieOnqvIBWMx6t1kY06sLr0eF2\ndQ/IOeT8uYMc2HcJQShElq8wYVI1M2YtJzP7CI0NG1CrM4lEzrJg0az7dhJGoxEkSYUgCDQ21iKp\nJqPTxUVqkpLmUVO9kanTIDU1l9TFufccI68glxPHDqPVriYa9ROJnCEr6/GutgGysnM5deIwqWkv\nEYnU09T0IekZ7SxZ9haZWQ9fgIpGI+za/glHj16iy6HBnuaksPA1nE47p04eZOHiNUNwFXei9loN\nWu2M3u/EbJ5HTfV+xo2fw9PPLubwwU2EQ2GmzRjF5KnxBqvpM5fQ2fkRLc0/Q1FCFJdkMXLUlN4x\nZVlm/97PKb/UhSimoFZv57nnn+9XJ+MmRo6ewuXy92hrW4cgGNDqKpg55+V+j9PqDAOScHgQzJ6z\nEpPxIPX1+0lIMDF1+to7ipNTpi5GrzvCtWsHyM7RkZg4Frf7ChZLKR5PNUZjF0mWNNwuB4piRaO1\nYFLyUasPEg6J+H0d+P0nKSoecd9FkN/nQhQyEcX4A8lgzKGry3XfQD8QdDoaOXniOlbrt5EkDYFA\nGzu2f8C3vjP6gbqDc3KHUV5+AqMxD0GQ8HqPUlLy4CqF/eGPJnB/uW8rTucUbLbpxGJhqir/DrW6\nnbbWXxKN5hKOXEatuUI0GulznFAowOGDx0mx/gUqlTG+3Tv7M4rHdbH62TeoqCjD6+kkM2sWOcPu\nfjq7nA62b11Pe3s3ZrOO5StXo9friUYdt52jk+SUW5SvSCRMxZUy3C43aekZFAwvRRAEpkxdRDCw\nmfJLP0Clkli89N7nfNQYljuWRUudHDn0a5JTYsyZO5FZc1cOmcD8pQtHuVqlR69bi8Fox+08SUvL\nPiyWUXi9NUNyjq/CYNQTid7avYTDXRhu6L3k5RWTl3e3KYJOZ+S559/B4+5ElFSYzcl3BI6mxgou\nXXRjt38LUZTweGrYvWsr31j75wOak1arZ82Lb9PYEL9PMzJnPDK38UgkTDDoxWBI6JMZJEkqJk1Z\nyKQpd/8vGo1wufwYPU4no8eMYuSoKfh8Tvbt2URL85dYbcksWvIKWq0ekzkZlaqLQKAVvT6d3LwZ\nNNT/AqhmfOkIZs1+5r5zSLZmgnCccGg6ak0SXV3HyBmW9XDSvD4XopiGJMUL63p9Gm63TDQa7leX\nRJZlIuEgGq0eQRCQZZmcYaOZPdvJyZM/QVEUpk0vZcGCh1Oh7At/NIG7vc1BYuKzAEiSBpt9Gi7n\nF8RiXsCDyRgjN++vOXRgF889/9Z9x4mEgyiyrlfKVBTViKKFcCiAOlnbZ35ZlmW2bPoYl3s2dnsp\nfl8Dm75Yx8uvfgO7fT1tbesRBD1a7RVmzo6vpGKxGNu2fMT1awloNLmET5xnxswOps1YhkqlZsGi\nNcxbIPe2I/cHRVGoq71EXe119AYdxSXTH5pWKQgCxSWzKCqe2ft6KOHocKDTj0GtScbhaEKShuN2\nHUStdjApJwe/z32Dzz505y0umU7llfdoa/MAGgyGK0yd/lq/x0mSdF8dFb/fjSjetjI05OB0Ds7W\nT6PRUTB86E06bkd93WW2b91KJKLDYIjw9OoXBt3hKMsy27f+jmvVJjTaAs6eLqe9vY1581ez+rm7\nC+h6vYmVT69k25YP8XoN6PUB/vpv/8eApA5stmyWPTWbvbt/TsQlkplhYdGSwTtQuZwOGhquIAgi\nVmsWoljXaxje3X2G1NQE1Oq+5Yrr6y6zY/tWQkFISTEwc/ZcDh3cj7MnglYns/KZ1eTkjEYQhEdq\nevJHE7hT02zU113Gao2vuBMT3dhsVro6M9FqJ6PXG+npCZPU7epzHIMxEatNRWfncSyWCXg9NRgM\njl5edV8IBrx0dUWw2+M/PKNpGA5HJn6/mxdefpf6unLkWJT0zLd68+yOjnrqamXS0p6/kTsv5uSJ\nHzJx0vxeytVgboArl4+ze8cFNNrpRKJdVF55j5deffehtUbg0XFnbak2LpdXYE9bw7DcENeq12Ey\nXyU1bSSHD7Zy+OA5srITeGrlK0NyHQBGYyIvvfouFZeP4nJ3UjB8xaB0m++FlJRMFKWMcGgaak0S\n3d3HSU1LpKqiDFFSMSy36GtXmfP73GzdvB39DaMAj+camzeu5813/nJQnPyurmauXwuSmvbGjVVn\nMRfO/Yip07z3/Y5yho3mnW/l4/e7MRgTB0UjTU/PZfmK5YiiCpstZ9Ayq52OJtav+5hQcDwKERIT\nN7Bw0UwOHngPlwfsNhNPreybuODxdLNl0w4MhjdITEiju/ssP//pP5Of/9+x24vw+1vYuukj1r6V\n8chZL380gXv+wpVs/PwjHI4LKIqXyVMKuXQxGZNZICFhKqJooL3tZ4wZ23eOWxRFVq1+lX27N9Hc\nvJ8UazKLl7w8oO5NjVaPShUmFOpGq00mFgshyw50ehMajY4RhXd3eMViUQRB13vDiKIGRZEe2MX7\n+NEyLJa1vcyEtjYPDfWXGTlq6gON9zhQXDKT1uZ1VFf/f6hUIouXWSkuWczmjaex2b6JJOloatzL\n4UPbWbL0xSE7b3NTNUcOXwKGceHcTubOa6d04rwHHs9mz2HZUzPZtye+MkxKEuhoj7JjexcQwGY7\nzvMvvv21dgK7XA5isbReowCzuYAOhwafz0VCQgqhoJ8L54/Q3eMkKyuTMWOn33PhIMsxBFHTe98K\nggro/75Va7QkagZnSFBfd5ktm3bgdAo0NZ7HkpzM6DEFPP3MSwNWkTxZdghZXkxqWpy50tGhx+ly\n8q0/+VsikRAaja7fhUlPdxuynBPX9VFkDIZRuN0qTOZ4LttgyMDny8TpbP/PwN0XerrbOHJ4D26X\nl9z8HJ5/6W0CATdqtRazOZnLlysoGD6epsYfoygiCQkeRo3uv7hnNiezug++tMPRyL492+jpdpEz\nLIv5C5/GYDCjUqlZvHQJO7e9D+Qjy81MnV7Ypxi+1ZZNYuJ2OjuPYTDk4naforAwA80Dtp7LcgxB\nfSv3HI2GOHZ0L6dOnCEjK42ZM5c9VOCIxWJcuXyM5sYWkiyJlE6Y89CBSKVSs3zla8x0daIoMgmJ\nNs6d3Y8kjUGlin8OiYkTaW68tzWeLMu0tFQTCQex2YcN6EcTCYfYtWMXCQnfQqtNIRr1c+jgz8kv\nGPtQTiejRk9hROFEotEwO7atI+CbiNUa5/W3tW2louIk40vnPfD4DwujKQloJxLxoFabCQbaUasC\n6PVmotEIG7/4La2tw9Bpi7hSfpburk7mzLs7/5ycnIHV6qfD8SUm4wg87nPkD0/BYBha+qaiKOzc\nvhVRXImjYxtm8w/xeRtwdATYuuVTXvvGn90z4LqcDlwuByazBb3eTI+zG5X6VspQpUoiGKhHFMUB\nyzwYDAnIcitNjZU0NzuIRDoJBtoJBnswmYxEowEUpR2j4dF3fP/BBm6/z81nn35EOLIQvS6Dk2VH\nCPi3s2jJLaeT/PxhXLkcY+KkvyEccuDxrnvo6rvf72HDZ+uQ5ZWYTMOoqS4jFFzHs8+/jSAIFI6c\niNWWQU93GybTOOz9dITFC1Lf5Ojh3fT0XGTEyAymTX/hgdMS4yeM5/DBDSQkzCMYbKWleROS9C0s\nSWO4eP4sbtcnPPPsmw88/uFDWzh72ofBMIFgZT11dR/w/IvvPnShUhCEOwJmQkIisdhVFGUmgiDi\n9V0nJ+fugByLxdi57fdcvRpGFJPQaHaz5oX+VemCIR+xmB6tNp6yUqkMCII97iT/AIFblm/VISRJ\nQpL0eD0+1Jrbg4UNv69z0GMPJRISUliwaAb79v4SgTQksZWnVj2FWq2hpbmatjY9dntc68RkHsG5\ns/+b6TOW3WVVp1ZrePa5b3L82B46HdWMHJXOlGkvD3k6LRoJ09PdSUvz+3R2GtDp6zAY1BgMI+nq\nPNK7Wr4dV6vOsnP7fiCHTscZRNED6Onq/AVFJX+BSiURDh8lv2Bw+vxWWxZ5+Vq2bv4pev1M1Opm\n0jLGU1/3z9hTZyLLLcyeO/6xdDb/wQbutrbr+P15vfnk2xtibvJY585bRSTyBddq/hmNRsVTKxc/\ntMzklctHaGpyY7d5EEUNNtt8GhtPEg4Feleeycnpg8qXms3JLHuqf9rXQDBp8kK0miPU1OwnGvEQ\nDMwiPT1+g2p1y6iv+yF+vxujMRFFUai9fpHa69cwGPWUjJvRZyEzEg5x4dwVUlP/FlFUk5AwmvbW\n39LeVjsktMDbkV8wgTFjq6ms+CWiaMJk7mTuvLuV5upqL1BVJZCWFn9wut1V7N+7g5df+06f4xsM\nCZjNMi5XBYmJo/H7m1Cp2khMvDtoy7LMxQuHuVJegVqjYnzpeFLT8jCbk5HlGIcPbuHihctIksj0\nmdMZN34OJ47voqryCu1t58jOmY/NPgu3ew+JSQ8vxfuwKCqeQU5OIV6fk4QEa+8OJa5GJ92W/hAB\nAYV7q9QZjAmPhKp5O2Q5RmdnB+HIs6hUjUQiabicp5FlEzq9eFcxMRwOsnvnbhISvk04DN3d6Yji\ncUonvI0gfEZd3f9k1OhxPLVy2gNxtm22bEaOzMZgHIZKmoogiqhUn7NwcTFG0+zHZjX3Bxu4VSo1\nitJ3Q4xWZ2DFqteJxWKIovjQq4HL5cfYs/M8bS3Z9HRfIzm5nPz8Z5GkGKonRK9DFEXGlc5hXOkc\nHI5GfvfhVhRFRhBEZDkMRFBJ8dVx+aWj7N1VjvZGIbOqYiCFTIGbwvqCIIDwaCrnkiSxdPkrTJzc\nRCQSIiUl855b2oDfgyhk9H63en0mbrdnAOOreHr1i2zZ9CkdHZvR6+GZZ1ffs1PzwvnD7N97nYSE\nFdSWf87e3b8gv6CA0WMysFrtnD0Txm7/O2Q5zIH9v6O7q5mLF6KMGPlDjKZaqq9+SF3dBwzLncve\n3WfweYNMmbb44T+kh0BCopWERCseTzfnzuxHlmWycoaTYnXS4diHXpeL13uG4pKCr7Wg6nZ3kp4x\nle6ubKLRWgKBX6PTRQmFynl69Yt3/aaDAS+ybESrTcbtbkSSMhFIJRpxUzD8TVyuLta+eYue6XI6\naGysRJIkcvNK+i1+mxPMRGM11NfVEApCKNzApClJ5NywHHxc+IMN3BmZhWRmHaGxYSNqdQbRPhpi\nhqKTTFEUDuw/QHrmnxGLNdLeHqW1dRtqzf/D6ueWP5EqeSkpmRQWmqmsXIdanUckcplp00t6dwYn\njp/Akvxmb7qgrc3dZyFTrdFSVDyCC+c/w2ScSCBYj9Xmwm4fWrH8mxAEoV/NcastG4QthEMTUGsS\n6e4+wugxOX0ecxMp1kzWvvWXhEJ+NBr9fdk75RfLsViex+WqwuvOQKtdjSTJXKsp52rVAZKS/gJJ\n0iBJGrTayVRWfIZe9zJqlZ6cnNG0Nk9Eb0hnxIjvEYsFOXb01+QVjBoSPfWBwO3q5Py5YwQDIQpG\nFJJfUBLfnbg6WffxB/i840FUo1atZ+XTy6mrvUZPzxEmTMykdOLjb/i6HTq9CZXaz6jRoxk9phSv\ntxpnz7+y9q23SUnJvOv9RlMSJlMEt6sSrdZKJHIJrbYNrc6Ox12FzXara9rhaGT9J58QDo9DUYJY\nLP/Kiy+/3afMwqjR0/j049/ici1Fqy1Cb2imp+s03d2tD81KGgyevGjzFSiKQk9PG8GgD4slrfeJ\nqFKpB9QQM1SQ5RjRqIxGbSa/YCzJKR04OhJZsmxcL7/5SYMoiix96mXyCk7hdHZjt5eSXzC+9/+y\nLPepQ3EvzFuwGovlMI2Nx7FYEpk0Ze1d+c/HibT0fJYun8aXe39OxCVTMDyHufMHvn0XBKFf+y+1\nRk0g4MPr7UClLiIajSFJKkzGYrq69hEMtmI0xoNwJNJCamoS7e0NKEoxMTlGMNROalrcjk6SdIhi\nOj6v87EEbq/XybqPPyAQmIZanUR5+SGWPRVgzNhpXLp0goB/Kqlp8fRNT4+F8ksXWbHqbuedrwtm\nczJz5kzm0IFfI4g5KEodT69ec8+gDbd2Uls3r8fpimBPrUOrTcLp/BSjqYdFS1/pfW/Z8YPAUlJT\n40qK7e27uXz5BJOn3H83JAgCySm5ZGYtBBSMxkJ6un30dLf9Z+C+CUVROHpkG6dPXkMUU9Bq23h2\nza1mAbWm74aYoYQkqSgszKOychvJybMRhU7S0gOMLbq/LVIo6Ke9vRZBEElLL7gvb/X2wtajmPfo\nMfdW7xs/YTxHDn2B2TSHULgLg6GCrOx3+h0vbrw88Dl0dbUQCHiwWNIeicb66DFTGTV6CrFYdMi6\nOQHa22ppba0jLT2B1pbPiET0eDztJCVNwJI8AWfPl0yYNIWG+kN0dDSgKGFSU7tZ8fRb7Nj6Ka2t\nHyIIEomJZZhMcQejULATqMNieTz3bV3tJbzeItLS4l18Wq2Nk2XrGDN2GuFQBEl1KzWgUpkIhfo2\n1v06UDpxLtk5BXg8XSQmTe83QFptWb07KbVah8fTRTgUIMmSekfaJ+APotHcEhRTqSwEAq19jh3X\nYTcQi3kwmfKIxYLIShMm8/g+jxtqPNGBu7WlhlMnmrDZ/hRJ0uB2X2Xnjk18840HF5d5GCxY/Bwa\n7Xbqat/DajMzb8HL9w1EHk83n3/6W1yuDBQlTHr6AVaveeOOPG0kHOLL/RuprKhGrVYxb8F8Ro95\nfHzrSZMXotMdpab6IEajnilTX++XSjcYfQhFUSg7tpMTZVcRRTsqVROrn1v9SIyB444wQxe0a6rP\nsXXzARAmoMRUJFlkJk7OpPziGdxuHy1NB8nMlpgz90+RFZm21muIokRmZiFqjZY1L75DW9t1FFlG\nq53Jzh2b6Og4jlodYcWqZQ9FORwUFAW4lQISBLHXEmtE4SgunN+N15uMKKrxevcye+7Q6HgPJbq6\nWjhyeG+c9puXw/QZS/vd5d2+k0pKst/zPSMKR7B/737UqmeIyUEikePk5fVt/C0IAk+tfJYNX6zH\n4UhDUTqZPnPsY9cTfyI9J2/ihz85zo5tDuz2lUA8XdHV+Y/8+ff/ryfeAWPPrvVUVmRgtcZX5O3t\nW5k1R8ukybdujC/3beD8WRF76koiETfOno948dXlZGQM/7qmfV/U111m7+6d+Hx+CobnsXDxs+h0\nRsLhILFYFJ3OeNd30t5ex8cfbcNqfRdJ0uLzNQCf8Pa3/ssT//395lc/RBRfR69Piyv+dXzCqmdG\notboWP/J74nFMlCrI0yZVsCMmf1bhcmyTDDgvdGk1fcDJhaLUVVxgk5HJ5aUZMaMnfbANRS3u4vf\n//t7RKPzUKuT8Hr2MWqsSHZWITZ7NoGAlxNlZcgxmXGlJYwtmvFEfTd+n5uPPvw10chi9IZMenqO\nUFQcYsmywbe8fxWyLHPm9H4unLuISiUxfeYMRo4amCRuIOClp6cNg9583yag/3CekzdhsaSBcoxI\nxI1anUBPz1nSM1OpvnqGUydPoSgKEyZOYPSYqQO62dyuTurrLyMgkJtf8ki7m1xOD3rdrRymRp2F\n23WnzGPt9XqSk99AFFVotckI4jjaWxueuMDd3d3Kpo07MRpeJSXFTvXVvaBswJaaStmx08iKRF6u\njWVPvXRHM47H3UUgINxQicvBYMjG4QgPeUrjUSAUCpGYGL8/BEFAIIFIJMT+vXtJSvoOBkMWsViY\nUyf+leHD6/pVABRFcUDa4oqi8OX+L7h4PoxWM5pQuJqmxnUse+rVAd3jkXCIhobLRCNh0jOGk5Bo\n5aVXvsHpU4fx+QKIUgdVFcOprgKU7SxZPplXXvv2gD6TrwPt7bUEAnnY7fFURGrq01Rc+V8sXBx7\naNJB3NV+EZOn9L3Kvhf0ehN6/df3O32iA7fNnsOipVPYv/f/oMg6kq0qRo8ez7YtJzCbn0EQRHZu\n34RarWFEYd/CPN3drXz68UcEg+NRlBgm02946ZU3HonWM0BObjYNDWXoDZkoSpRg6AyZWXcqzpkT\njHR1tqHRWlAUhVisHYPh8TANBgNHez1KbDQGQ5yjarMt5MKF76PTFWOzfR9J0lFbu5Mjh3f08npj\nsSjnzpRRd70ajcaMVreT9MwiMtKTnsigHYtFOVm2h6rKavR6HTa7kYrLH2JOmIlaHUOluozV9ip+\nXxibPV4YkyQNgpiOz9e3/s1g4PX2cPliA6mpf4koqlCUUqqqfsq06e39NnaEw0G++Ow9WlusiIIJ\ntfp91rz0AqmpuSxe+gJNjZWsXxcjLS3+EAiHSzmw72cDXvh8HZAkNYriu43260OlEh+pgNMfAp7o\nwA0wtmgGhYUTCYUDGAwJ7Nn1OTrd3N4qfjSygKrKM/0G7tOnjhCNzic1Nb4VcjhMXDh/nNlzVz2S\neU+cNB+PeyPll36AICjMmDX5LjfqefOX8tmn63A4qpBjbnLzQhSMWH3XWPfaOvt8LpqbqhBFiWG5\nRf0yIx4GWp0RWanq/fEEg+0oSgyVqvi2lvRJNDV90nvM9WvnaGy0UFTyd1y/dh2fT6S78xPeefdf\nHtk8HwYnju+m7LibZMtrdHU2U1n5j2g0OXS0X0Kn7+Gdb/0JVmsmqenJdHaeISV5EqFgJ4JwneSU\noWMVybEYCGoE4eZqUkBAOyDtmuqrp2lpTic9/TkAXK58Dh3Yy6pnXqG7uxVHRwOimNgbpNXqBCJR\nGZ/PhdPZjlajx2rLfqKCeGZWIdk5R6mv+wyVKpNo9ByLlsx+oub4deCJD9wQZ4/cLEZotWqiUW/v\n/yJRDxpt/yu4YCCE+jatArUqkWCwbcjn2tXZzLWaciRJYvLU+cyZ9zSKAhrN3YwSmz2Hb6x9h/b2\nWlQqDVnZo+7KZd5r61xV8SscnX5CwSIghCX5OC+89DYGg5lYLIazpw1RlEhMsg/JyiQ7ZwyFheep\nvvoBgmhDFCsYOTKfE2WH8HotpKfn4PPVMSz31ufr9XqQpCys1oy4PVWgEFlpe3xFuUHicnkFKSnv\notEk0t19gWBgCQUF8U7bnp4LXK0+z+ixM3hqxQts2fwJHR37UKtjrFi5/L7FrweBOSGFrGw9jY27\nMJuK8HorSU2Te/OoiqLQ2dlE4IbdltmcjNfrpKmxgprq8yjKrQ5WndZGZ0c7H77/C4LBNEKhFtyu\nOjTaMRj0GXR3HyEjw8zvN/09QaMfORCjOH0e8+e8/sSsaOP0vrVUXz2F1+MmPWM+2TmjURSFttbr\neL09WCxpWG1ZX/dUHyue2MDtdDq5VlODSqUmM2tk7/Z6fOl0Kis/pL3NB4KIVnuaiZP611EuHFnI\nteoDaDRJKEqMYOgww0fcn8r3IGhrvc5nn35BLDYNORZi546/x2BIQZLUjBk7krnzn7mLEmgyWzCZ\nLfcZ8d5b57Lj3ycjcyVpaXHTWodjH5fLyygumcGWTR/R0qwAUYaPSGTp8pcfOjUhSRLLVrxKUUkF\noZAfn1fH/n2XkMQo9XXraWr0UDIuiTlz3+09xm7PQpb3EIlMQKUy4fGeYWzRwBpjvg5otRrCYTca\nTSKRaABBTEC8kUPVam34fQEg3nH46uvf7aWa3Z5nDYeDBPyeQUuW3g5RFFm56jWOH9tNW+s28vKt\nTJvxetw67yZL53gNopSGKO5g3oKpHL/0Bb4kJ/6oh+b2DZiMuRiMOfT0fEk43E5i0p9gs41BlqNE\noz9EEuPUxuKSYbS5u5CHydjSs+Ot/Sf2M7xhQq8Z8MMgFovR2HCFYNCLzZZDivXe3Ov+oFZrGDP2\nzl1N3HasHlHIQuEwi5dOZ8zYaQ895z8UPJGBu7m5mR/84PdUVOUhyz6ys4/xzLPxRo8kSyqvvvYm\n12ouAgp5BWsHtOIZOWoy4XCIs6c/RpQEli6fTO49XE4eBqdOHEOSlpOSUoTTWc6VCit5ec8ybFgR\nly5uxGDYy4xZT/U/0G2419Y5EhHo6amiof4kiqJgNGrxeQo4WbaP5uZc7LalgMLVqs/JzDrG+NKH\n5wxLktT7Y/74d78iMeE50tOz8fkacHQconRiSu9qOhDwolZrmTV7BCfKfkIsKlBQkMmcuS/0dYoh\nQywWIxj0otMZcfa0c/DALlxOD8Pyspk5a/k9W+dnz5vH5g2f4vNNIhKuQ6OtQK+fTSTixeX8kpLx\nBb3vvVfTTu31S+zYtp1o1IhOF+Dp1Q9uZqvVGZi34O6UWaejkRNl17DavtNrt/XJp3+OfVEiqQXx\n4mhMdZa2S/+ITR5F6cTRXLpow2SKz72r8wyNDY3EYiKz5yxg1pwV/Oqj/b2u8KIoIiaIA8rZ+3wu\nyi+V4fcFyM0vuMsxSJZldm3/mKqqGKKYCnzCqmcWkV/w8HTD7u5WTp24itX6XSRJQzjsYv+enzFi\nROnX2gz2OPFEBu5PPtlFNLoUu70IRVFoaPic6urTvU/dhEQrpRMXDGpMQRAoGTebknGPzk4oslcP\nZgAAIABJREFUHImgkuKsCo+7HpU0BVHQI4oqEhNnUXv9C2YMcpF/r61zcnIPjQ1NJKf8VxRFwOH4\nMV5fF8GAiMmw6Eb+T0CrLaSrc+itvxRZAUFEEERMplx8/jpUUtwSrr7uMls3byMWsyGKDhYtWUJB\nQclj+0E5OhrYvGk9Xo+AJHkJh0Lo9S+jN2Rx4dxRAv7PWbHq9bv46Hl5xbzyWgJ1dVfo6lITDBRS\nd/1HBAJecvOHkZ8/777n9PlcbN+yE4PxLXQ6O15vHZs3fspb7/7lkBZifT4XghC32/J6e/B4AvS4\nO0nX3rI3s2ZkUZBUypL5bwPgdPbQWH8ajSaFq1ePIgpPY7UWceb0YbTavWTZR1FXdwnr8CyioTBK\nJySX9N3gEgh4Wf/JezidxajVwzh/7jBLl3kZU3Sr0au5qYqqqjCpqW8iCCLBwAT27v6Ad79T8tD5\n6WDQhyBae23HNJpEZEVPKBwY1H1WV1tOTU0VOp2WknHTH8rlPRZ7eJbLYPBkJLK+gq4uHyZT/OaJ\nN1ak4/P6vuZZ9Y8xY8fg8e7G728iGnMTjZ7HkhxfzQSCLSQk3l/ARlEUmhorKb90iPq68l4O582t\n8/jxAYzGbRSXuJg6fQn21CK6un5MR8f/wmzW4XaFSEu34/VdQlEUZDlGKFiBzT70rJnSiaW43Vtw\nu6vo7jqDRn2S/IIiQqEA27ZsxaB/A5vtLUymd9m7+wDhSHDI53AvRKMRNm1YTyzyDHb7XxMJz6b6\nqoTRNAqtNpnU1BVcvHCZ9//tR/z0x//Apg0f3LG6tCSnU1dbT+WVZK5V53P9ejMxeRodbRP55He/\no72t9p7n9bi7iMmp6HTxnZ/JlEswqMM/hGwTiKtOSmIdLS0XKb9UxdWqK4Q9iVQdukDA6yPkCxC4\n7iE389aqdtHi1djs52lo+H+JRo0MLxxFYmIGSUlzqam+zsI5a0lz5eH4sgHXEQcLx73R706hoa4c\npzOf1NTFJCdPICnpRY4fL7vjPaGQH1G03lAYBI3WSiAQeqi+jpuwWNLQatvweGpQFJnu7jMkJ8cX\nEl6vc0DnqKo8xYbPDnC1cgRnTyWy7vfv4/X0DGoeLc3VvP+bf+Jv/mot//f/+B7r1/160GM8KJ7I\nFfe4ccPYtu0QsryKaNRLLHaO9IyFX/e0+sWo0VPw+90cO/JTzGaZ8aVqAv5tBIMGDIZaZs2+W5b0\nJk6d2MvRI9cQhBEoShkTJ19n9pxVCIJw19b5xLEduFzbMJvXotEMx+3aQX39cZ574U0cjo+pr/sJ\nAjHGFmUwtmjGI7lOlUpNZcUptBo1Eya9giU5DWdPO+GwEZ/vAm5XMzq9GZ3OgM/rfCSt7l+F3+fC\n79dgs8U7Mw3GTGQ5njZRq5Px+7torL9OSvI7pKTkUl93jO1b1/HCS98CoOLKMWqv6cjMeo6O9gPI\n8hq8niyGD5+Ky5XJsaMHeXbN3Xxtk8mCILQTDjvRaJIIBNpQq/3o9YOz1+oPCYlWVj6zjB/9yz8g\nK6OxWKwMH/Eraut+RNf+BpKSUllY9AYjRky8NTezhRdf+Q55BTs4cihKamq8zhAKOUhONmA0JvLC\nM/+tN701kNy8rMjArfeJooZI6E7Wi82WgyTtx+etR6dPp7PrAAUFw4ak6KnXm1i95nl2bt9ER4eL\ntHQbFksKv/nVLwA1w3KTWP5U365VJ8tOkpD4HAZDPO/e1uantvYixSUDSys6HI18/PuPqa0Jo1L/\nV7oDQa6U16LI63jh5W8/ctbLExm4n312GT7fBj5e90833M3nkJU96uueVr+IS2ReJBaLp3R0ukoW\nLMxHpzeRmrr4vg0Yfr+H48fOYbN9D0nSIcsRzp7+KSXjHPfM36dl5KBWm1AUHaFQG+aEPNSqOmKx\nCM88+yYedxeCKN7lQj5UEASBEYUT7qJgGo1JODrO0NOTgMGwgJ7uSlSqz9Foh85urC/o9WZUKj+h\nYCdanRWdNg2TuZGens0EAgW43QewpxZjTog3Tlits2lpPkI4HOTypTI2b1pPS9MoOjtPkpjoRJLs\nRCJRANTqJAL+WzsHRVHodDQSCHhJTk5n8dK57Nn1axTFhkpysOKZVf1u2zsdTRw6uBu3y0t+Qe6A\nWrlz84oYMXIsZvOfo9EkIQgCBn0+iaKRZHUWeu3d95goiowvXcD1mvdob1+HIBjQaCuYNScuuCQI\nAoZBeDhmZY9Cp/s3urtT0WhS8HgOMGvOnbnrxCQbz655hr27N+B0eikckcuCIdTuTk3NZe2b30OW\nZa7VnGXLpnLs9r9CFNXU1e7g+LHd96wT3ISsyIjCrfAnCCpkeWC7Aa+nh80b3qe2ppNQ2Io5YRSx\nmJ9AIEpL61XC4eCAXXUeFE9k4NZoNLz11kukpEUemfjSo8DZ04fx+6eRmhpPZDscybS3O5i3oG+e\nbyQcRBAMSFJcACfuLJ9IJHzvFIPBYGbYsCx0+lRAQK/Lwu05iEqlQRTFQVHufD4X+/dsoqmxBUtK\nEouXrHrg6j+A0ZhKIJBPNOpAozWRkjIdr6eLpMdAA1RrtCxdvowdW9/D7clCUVr4xhtvodfp8Pq8\niOJUDu6/hizHEEWJcLgHtRq6u1o5+OUlMtL/hp7uzwkFNXRG/ASDX5CR8QyhUDddXdsxGuv56Y//\ngYREM8l2kWuuc4gmCcmtYvW87/PmO+/i8zkxm1P6DYRer5PP13+CLC9Dr0vn9KnDBIMbe1u5e7rb\n2L93K11dPWRkpjFvwareTt+xRWM4f24/KckL6O4+Q2N9GWbT9+juTGDblh2sWAWFIyfecb6409Lb\nNDZcIRaLkp4xA7M5+a553Q5ZjitFfnWVbDYn88LLr3Gy7CB+X4ApU4dTPO7u4k1mViFr3xpag42v\nQhRFOjra0ajH9ua8ExJKaWne2OdxpRPGs3fXRkzRhUTCLrTas+TmvtHv+UJBP599+lsaG0YRjpjw\nek+gUm3EaJyPIHrRqJV+neKHAk9k4L6JJ4VLOlD4fAE0mlsFDq3GekOfo2+YzMmkWKGz8zhJSSW4\nPVWYzS6Sku6tgZBizWLUmGQqruxBJeUSDFxh+qzSQT/lFUVh2+aPaWsbi8XyIs7u63y+/mO++eaf\nPFhDjyBgMieQmTUBWQZJpaG762pvnvNxoGD4ONa+nR33GzQtvGPHoigKXZ1OLl18H1FMB6pYvmIJ\nXm83Chno9HZGjV5Ffd1eXK4DLFw0jUDgPLHYWdTqJqLRVVits+joOEpZ3d8w5Rvz0emM+Hvc7Dj4\nS95+9YcDllFob6slGCzAbo+zMVJTV1FZ8U8sXBwjGg3zxee/JxRciMk0nNpr5/B6P+bFl7+NKIrM\nnrsKlWonNdUfEA7Xkl/wDay2eEu4wlLKLx2+K3ADaDQ6Cob33ah283M6dWY7J8s3Iysxxo9YzMzp\nz99RfEtJyWD5ilf6GOXxISkpiXCkFkWZhCCI+Lw1ZGbdn2ILUFwyC7VaQ1XlUXRaDZOnvjqgBU9r\n6zVcrnTyClbj850hGplLd9cviMWukJsbZMmy5x5L3HqiA/cfGgqGF1BVeQS9Lt6a7PMfpmB4Sb/H\nSZLE06tfZd+ezbS1HSItLYWFi19DrdESCvppaqpEURQys0ai15sQRZEly16iYPgZXC4XNtu0B+Ld\nBvweWlu82Oyzb3g+jsXhOEdXZ/MDWZGp1RomTirhRNl6dLpSwqEGMrKC/ep4DDXM5uR7riYFQWDh\n4ucZOaoSv99NSsoLpFgz2bvrd1Rc2YlWW0VKShZZWdMoKpZ56dU/AyAUCvCLn/0Em20egiDEWQwG\nM6GQD53OiD7JjCPUMCgNFrVagyJ7e9kt0agXlUpCFEV6ulvxeVOw3QjGKdZZdLSdxu9zYTJbUKs1\nzJn3NHPmwdEj2zhz6la+WY6FUKkejt1QWXmCw9fWYZ+dgyBJnD63HdPFJCaULn2ocW8iEPDicXdh\nNCUNSe1j1Oip1F3/mOrqXyIKOizJHmbO/mafxwiCwOgxUwetximKIooSQ6PWUlQ8gfa26zgceta8\nMJbCUVMfmyb3f4jA7ehowOdzkmRJG9Iut69i5KjJBPx+Tp38DQDzF0wasNqY2ZzM6ufeuONvPp+L\nz9a9T09PFiCRkHCQ519aS0JCCpIkUThyykPNV63WIkoRolEfarUJWY4iy84HdpgHmD7zKSzJJ2lt\nqSExKYHikrVDQolrbrrKibJjRKNRiorGMnrstAdKoQmCQHbO6N7X16+d59KlIIUj/57GhnZaW08h\nCL/k5df/Z+97VCoNapVMJOxEo7Wg06VCc5hoIAqJ0F3XQlpy/l3XWV19huMXNhCNhRk3YgGl45f0\nrsYyMgvJHnYs3sotpROLnWPJ8rkIgoBao0OW3chyFFFUEYsFQAjecws+duwkLl74kA6HgiioUTjC\npMlPD/pzgfhK++yp/Xy2+ec4s5sJt0TIyR2JOS+ZupZLAw7coaCfQwe3UV/XSFJSAvMXLu9NvzU2\nVLJl0xaiUSuC0MnCxfEUS2dnJ9aUFEaOnjpoWp0kqVi+8jWmdDUjx6Ikp2Q+cANUf0hPH47N/iUd\n7bvQaDNQqU+z5oVXmTZj2SM53/3wRMu6btnZvz5DfzhZtodjRysRxQygjuUr5vera/KkIG4iYcBu\nj3PWHY4jFBW3s2DRcwM6PhIO0dJSjSzHSEsvuKef3sULh9m/5wKII1HkRsaNT2T+wueeqLpCR3s9\nn/z+M7SalUiSHrdnJ8uWF9/BG35QHD+2g9Mnk7FapxGJhPB6mzGatt7hSwhQWXGKXTuOgDIKWWkh\nNa0LZ6yOMCFSzcNYsei7d/CAm5qqWH/wBySUpCCpVHSVtzAz53m0KhORSITcvFFYktOpvnoav99H\nWnoOWVkjgRsyB/u+4MJ5FwK5KFQxZ+5IJk6+d++Cs6edK1fOIMdkRowsemBt6OqrZ9m88QwR2UKL\neSvYAuTk6NAGNYxmJovmvTGgcbZs/C3XrqVisczA729Eknbw+je/hVqj499+/WPU6m9gMGQQCvVQ\nUfFXJCfPwmgcRzh8lTFFsHTZ0LvFDyUCAS8Xzh3B7fKQlZN9X5Gu/7Cyrg+Lnu42jh0tx2r9UyRJ\nRyjUxe6dvyY3r+iRPZEh3iDQ092GXm+6r1bvQODx+NBocntf67SpeL335hJ/FaGgnw1ffEBbaxKC\noMFk2svzL37zrjxeybjZ2GwZdHe3YDROZlhu0RP1owmFAuzds462tlyysiyYE1NBWM6lizsfKnDH\nYlFkWSYxMYFIpAFFmYparUWWHVitd6dZRo2eTIo1je7OZvSGYWTnjEaWZSKRIFqt4a7P7HrDBdQ5\nGgyWOMvDkJfAF5t/SUbC9xElM2XHP+O551cwZuzddE1BEJi/8DnyCy7h9fSQlLyAzMz7p66SLKnM\nmDm4jtx7oamxAZ1uMvaEQly15bi9FTS3Xqc4dTpTnhqYGFskHOL6tWbs9rW9aaWOjis4HA0kp2QQ\nDmtJTLzphC7j7DGQl7eKxEQ7slxKVcVPmTb93myqrwuKonD+7EFOlJ1AkRUmTp7AlGlLvtYa3B91\n4Pb73UhSai9bQ6tNweXSEA4HHlng7mivZ8Pn6wmFUlGUTqZOG83U6UsHFAxjsSixWLTXXik3N5cr\n5WUYjcMQBBGP9yjT8wv6GSWO8vLjtLUOIzU1bkLR1XWC40f3sWzFy3e9Nz2jgPSMgY37OBGJhNnw\n+ftcLg/T1Sni9TSRmxfAaAyjUj/YrXuz8HaifCOyIjMyayp5+SL1df+KKBowmzuYPecb9zzWZsu+\nwydSkiQk6d5FXL3aSNQb6X3taG0iGsojNW0JAB63neNHD/DCy/emuQqCQG5e//WRm+hor+fM6eNE\nIlHGjB1LwfDxg34AmxNMhMPNqFSljM3/7zQ2fEZOehNrVn93wMVqUVIhqRSiUS9qtRlFUVBkF2q1\nFr3ejE4XxuutizcpBToQhAg6nfnGNYuAZkBKiI8T1VfP8OX+alJS/gRBkDhyeD16wzGKS4ZW62gw\n+KMO3BZLGpLUjM/XiNGYjbPnIhaLhChIuN1dGI1JQ96mumPbBgThWWy24cRiIcqO/4bcvNo+u9EU\nReH8uUMcOXgEWRHJH57JkqUvMHLUZHweDydO/BRFUZg5a8KAG2o8Hi9q9S1RJ50uA7fn4kNf3+NE\nc1MVba1JjBjxMl09/4YvmMDFS6fIznORXbSUk1WD78hsaTzHqdqPSSjNRpQkDl8+zAj9U4yZXkos\nFiEhKYvKNj20PVy3Z1A9CX/Nfsq7axBU4L0SRgkXcPLKjwEBo7oEVzj4QNfwVXhcrRzauQ5BWIIo\n6TlxZg+TZvnJzL2TWeLqaaK99SKSpCEjeyJ6Q5x5MWVkfKFQXDyD6qr3aW//HYKgITWtjVXPvDUo\nhpEkScydP5d9u38LYhFyrJnCkRrS0gsQRZGnV69h88ZPcThMiKKT0gkZuJyHMJmL8HorSE8XSEz8\n+hQkY7EozU1VRCJhUtPyMJmSqLtei14/A40mXkg1mWZz/dp/Bu5HBoMxgdXPrWbblo/p6IiSkmIi\nL28Yv/n1/0GW9aSkCDy9+tUhM1OIxWL09Lix2+OrV0nSIgrZeDzdfQbuxoYKvtx35YYpgZ5r1Ts4\natjBgkXPMXHKQibcyG0OZgWVnZ3DudOniUQKkSQtbvcxSsYNe7gLfMyQ5RiCoOWQK0pwzBJwniPm\n3onn1Rc5mOYCTg56TFfDl/gKPKgtHQDERkdordmHbexN7vrQtSzH0hYTrKsBOUbM7KZj/wcIecNB\nVCFX/ju2icvpTBv8NXwVnuZTeDQjUNvi93HMN5m2lq1Yp91auYbbmum8/DFkyShRGdUFM9bF38CP\nmasninh9agpanYHnX3zntrrIsnvWRfpDcckskpPtOBzNGI0jyC8o7U0rpKXn8+bbf8H1a+eoratD\nEBSCwQYCvjry8q1Mn/n6fW3aFEWhtfUa4ZCfFGtWvzz0m8c4e9oJhfzxVvk+uikjkTBbNn1IQ50W\nUTSj0e1jzQsvgRClu7sKtTobgzGRUKgDk+n+43Q6mti/bzu7t3koKsritdeexmQa/OfYF/6oAzdA\nRuYI3vn2fyESCdHd1cLvPtyApJqFJGlwOLzs3rmB5196t/+BBgBJkkhLt9HVdY5kywQiETeyUoPF\nUtrncR0dzaikElSqm+am02io/6j3/w+Sc84vGM+ceT0cP/ZjZFmhdMIYJk6eP+hxBoJYLMrVqlN4\n3G7sqekMyy0ekjx5WnoBRuM+Al0aMkfa0CT4KZg/g+IX7/8QbDlfwZU9+4iEQwwbX8qopXMQVbdu\n81pdChfPxUjKExEEAWe5H41BIKPnJNZCO+njCocwx68F4qyiMx9vpD41A3/AiRyV0Yw0MSIjysTF\ng2/WUGSZWCSKShtP91XLGiqaFJKy49cZcILRpmLWbWOXvX+CpEVajDnxVbbzQhsjjZU0jxhOc6Mb\niBdW1RrtkEi6ZmYV3pdS2t5Rx84dx1Cp5qPIUQThAC+9+kqfmtqyLLN393ouX3YhCimoVLt49vln\n+7T5UxSFo4e3ceZUDYKYjF7fwbNrXr7vea7VnKG+NonUtOcRBAGX8zIbP38Pj0eirbWJ+rpKbLYk\n8vIDTJ6y9p5j+P0evvjsE+TYU2Rn5FFWVobH8wl//ddvD2nt6I8+cAM3iiQ6OtrrqK9rAGEYCDpU\nUgXRaOc9ncsj4RCBoBeDIWFQdLZlT61h88aPaWrahqOjmsysbKqqLpCYZL9vXt1sMhON1ffOw+dv\nIDOzf3/C/q554uQFlE6ch6Ioj0y5TJZltm/9HdVXdahUOUSjZcye2/FAPn63w+t1cr3mAlJiJnrd\nQdKsBmYvH87EpYtQqe/9fbRea+Dojm2kTbag0ifQeeY0HE1hyorFve8pXbAYqaaJpuPXkQWZ0LEe\nEiyrCZ0ZQe3hU+S8qmLC4odnq3wVPfpEZJWV5MnxNED31Q6GG5KYYhpcEa7yxDn2bfycaCxCTl4h\nS19/icLZ0/Ec2ky4IwGVyoAUPMDq1dPIu23sOkWNwZyAUXMj7SGJNG7Zz3XtHqSmbFqy/46MzBFD\ndr194dyZ02i1y0lMHANAfb2Tf/3VP2O35zNy1AimzVh612+uqbGSy+U+7PZ3EEUJr7eOPTs3svat\n7933PM3NVzl1shmbLS7/6nJVsGvnJl77xnfv+X6fz4copfXGAq3OzvmzVxk/4SfYphro6bmI0/kZ\nS5e/fd9deqejkWAwG5ttLBqNSE7OQsrLf0AwGESvH7o2+P8QgfsmWlrrCYYKSElZgyBIuFwGfN5P\n7gra9XWX2b51K+GIHoM+zNOr1wy4iSQpyc5za9by4Qc/R5v9XUymHE6WHcPn3XBfZ+rhhZMYPqKS\n6zW/QRDNGI1NzJ3XvznEQDCYyrfX66S5sRIEgZxhYwe0Te5or6OmJkRa2tobjSSlHD/6I8aXznng\nArDX08Mnv38Pj6eILreNqFmh5O8mMHVM31rOTdU1SFki+pR4cLIUWblafpFptwVutVbD6u+8RVtt\nI41XqjlWI5NRENfQ6GqR+exffonX6adk7niS7A8u8/lVjJ85g6u/uUBXrB0UoB7GvTs4AbD2uiZ2\nbv4EyxwraqOGhgvVfLl+Iyveep2X/ttKLh28iN8TIGfMSDJG5N5x7NhJk9m1ax2CJBINRanfc5Xc\nuYXoRpiJlgls+vLHrH3uB4PSLHlQyLKMcEOYNBDwUl/biM1ejEp6kZMn9iDLO5gz704ueiDgQRTT\n8HqqcTguIQig0Tbfc9F1Ez5PD6KQgyRp8Ac8eDwiba1X8Hp67mlekpaWgyLvJhwqQqU209m5F4Mx\nGZ0u/rC12aYD9X1em0ajQ445URQZEAmHvajVMur7LDYeFE984A6FAtTVXiQWi5CRWfhQNCGDPoX/\nn733jI/rPK99/3tP75jBDHoHiEqCBHvvTaQkUqIoiSqWZDm24vg4TuLkl9yU4+Qmxzk+Kcf1yEW2\nZMnqjaRYJfYCVoAEQIDoHRhgUKfXvc+HkUHR7CLoKLl3fSIx7+wye95n3vd51rNWcrIVt/sMgqBD\nqfSQnXt1Vd/vc/PRjt3odM+SkJCC19vOjg/f5bmv/PFtr7yHhrqIRApJSop3ZWk0m6g6/zcoVSqU\nCiWlZTOv2q4pFEo2PvA0AwPtRCNhHEkbP1du8W4wNjrA22++it9XjEwUq/UkWx//8i0726KxCArR\nODF5FAotsqwgFot87sBdV3can28mKSkriamidMViNO05zdpbBG6NTk/UeyWvG3IHcRivzYMqVSoc\nGamc3nOAvp5OJKxotSk0nz1DJLyC6o8zqD+xnSf+ZjPm36EGyrJMOBhCpVHf0Y+iKdHKqvseorO1\nFZ1eR9m6OTiy0m79xs9guNcJSaA2xlMgtpIkug43A2BNcVA0t5Dtr7xMU4+fQ7s+ZN0jj1NQEU97\nlC6YjSRJ1J45hRSJkZKRRdr8XNqHh1BaTES8HsbGBiYCd0/3ZfqdrRj0CUwpnDOpLKzpMypoa92L\njMTQUDcxuY7MrD9GrbFit9/H5YYXKS3rof5SFchQUjYDuz0Dj+c9mpvqUKnWEwh0YjaPMjLST2Li\n9T/HBFsKsnyWsfEemi53EQi40GlNvPGbl3h027MMuXpwOnuxmM0UlcwjPaOQteuHOXzo/xCNxiif\nXoDTmc/IaDU2awV+fx8KsQurde0N7y0pOYeiEhOXG15Do8pClut47rllKJWTG2q/0IE7FPTzztsv\n4RpMRxAMqFSv8MinrtWfB1nZeVhtR0jPmI0si3i91ZSXz7hqjMczTCyWhE4Xb1s3GnNxuTT4feO3\nXcSMW4z5J1YDbnc/He3tGAwPATK1F9/g0Scev4ZadrN83b3GmdNHCIeXkZwS78YcHDzIxQsnbskP\ndtgzMRp3MTx8FoMhh7GxM+QXJKPR3Lh4A9DacoHjx44SDkWYOq2UufPXTqRzwuEICsWVz1pQGokE\npFveQ9Gc6dSePY3zZDeCRkA1pGHx8/ddMy4WjbLjF6/QGWwiWtJPS+/LxM6pUQp/QE5ZJkmZeQx0\nRmg6d4nssgKCPh+21GSkWIzdv/4N/f1dqJUa1m19jPwZZbe8rvaaRna/eJJYLAlBCLD2+bLbCtoh\nf4Dao+fxjARJL0xBa9QjjUnIkowgCvhdHswJtiv39OtfI5SCIzWVkDvA3vfe4JnsP8dki6sITls8\nj2mL5xEJhfnZP/wDIXec0SJFosg+Cb0+np67dOkY+y/+EkWagmh/hPrW42ze8KfXLFxkWWbA2Y7H\nM0xCQjKOpNuzpsvJncrDjwjU1lSj1XYiCvkYjTkAhMNjxGI+3nz9DWR5KQIiNRffZuvjW0hOtuDs\nz0KS3CQlZZBgfYrGhmoWLr7+Z5mcnMPKNTN49eXvEAymY02wU1TyF4yP17Ljg5/jctlRq2YQjnTS\n3PwqD25+htKpCygpm48kSSgUCsbGBtm1820GB/eg1Yk8+NCmm1oN/laOorCohullXjIzN1BQMPnz\n+gsduBsvn8U1mEtKSpz8Pz6exYmjB3l465c/1/Fycqey7j43J469QSwaY9HicmbMvFp/12BIAAYJ\nh8dRqy0EAwMolXemrZyWPoX0jGN0d32ASpVOZ8f7pKWtxW6Pr8CHh0Rqa86xclXmLY70+8PvCmSp\nVIn4fc23fJ9Gq2fL1qc5emQvoyOnmD4jjUVLHrtpIaa/r5Wd2w9hMj2GWm2g8sQuFIqDzJ0fT2nk\n5xdx/txufN4kwiEFscghMubeOtBp9Dq2fuMFOusaiYQjpBXkXDfdMeocom+4g7RV2SQGkulu6Ka1\n+zKZaTEyS3Pig2QFdSfPcPzER4gGEaVPiUbQ40/3knx/OqHxALveeY2nU/4Ua8qN6WuhQJA9Pz2O\n3vwsWoODcGCM/b94iYzCHAyWG3+nIuEw7//b+zjbp6DW5lD98XmWPGKlNHcWDYeqEHV7f5SLAAAg\nAElEQVQiap+G1V+Op3kCHh+BiAdHavxz0ph1uPVjeEbGMNmuFr5SadSseWgrez94k6AwBrUhFi1+\njoSEJGRZ5sj5N7HNT0Wt18YNPs5cpren8Zqi5ZnTH1N5ogVByEKWT7Jy9czbdpjKzikjO6eMSDjE\ne+++RF/veyhEGwhVpKRacQ0uwm6fHX9eI2ouVJ8l0Z7OtOlzMBhyUYgKhlyVyHhvep7y6UuYPbee\nIdc8EhLKEUUFgqClvr6D0tI/QanUIctz6Or4JQMDHaSlFSAIwsQiIiEhiSee+iMikRAqlea2CowK\nhYL8ggpWrLh3jjhf6MAdDAZRKD6rtpeI3393vNeyqQtvyoU2mqysWbeUj/f/DOQkFIoBNty/8Y4s\nkZRKFZsfepb6+lP4vEOYLQn4fVeMTAVRhRS79QryTiFJEpFwELVGd8cV7IIp+bS3HUWjsSPLUYLB\nk+Tm3Z75qiXBwQObrt+0cj10d7UgivMmROyt1tU0Xn5nInCnZxSyaXOAU5W7UfhCJCw0k7Xg9vxB\n1VoNU2bfvHFFEJhoJ9bqdeTPKEC+FELrr8U7kkUsEiAS2sNAoJOMDbmISgUe5zjVPz3Kgr+N63Vo\nLDqwjTLSP4g1xUHnpWb2/vxjetpbSM6zsPHLj5I7rYSA20s0akZriAd3tS4BGTu+MfdNA3dfcwcD\n7XZScuIaGNFIAad2/oA//NGXKe9YQDgYxJ6RijEhvkrWGvVoRB3+IS96u5GwNwQ+MFqvn+oqnD2d\npMx0/v3sWZTRCmbPihdkZVkmGgtNMFYEQUDQiESjkavePz7m4tTJuk99H7VEIl6OHPoRhUUz74j3\nrVJrePiRL9PWWk0oFCIt7RGqz59meOjK6l78dL7MqKhg+we7kaXVxGIhBPE4RUXXNpT9LqaVT2ff\n7rMEg8lIUphI5Chmkw2FQjNxjwg6Yr9zj7/Fb8kNXyR8oQN3RlY+sRMfEQjkolQaGB07wKIlk7vt\nkCTpGs3vktJ5ZGROwecdw2RO/FwKZiq1hukz4qv59IxsPnjvE9xuJbIcIxo9SGnZ7bUQ3y76+lrY\nteMD/H4Ji0XN/Q9uvSm96ndRNnUhgUCAC1U/RRAE1qybNynGrteDVqslFrvClw6HRzFZrkwMj2eE\nluZGFKKC1KwchkuMk0qlSkhxkJNWRPupBnSpegI9fuYtXklu6VQuVx5HrVNgT6+gsmEQ8VOlPUOy\nGVkA34AHU6oFKSYRG4+hMxkZ7Orj9X/cTe9AP4opBlyj3fT+8z/x1b/8GzIK89DoPPjGezBYMgh4\nB1AqhzDabv6dkiUJQfisy4wqniIRBNIKruXjK1UqNj75FDtf+zU+jQfBL7DmwUcwJ954W5+QbEeV\nmEA07GNsbJCEhCREUaQkZxF1NUewFqQQGPegHTdcU5wPhnwIgm2iKzlu7GEgFPTfsSSwWq2luOQK\nk6d0WoCGht2Mj6sRBJFAaD+l09aSnV3K5i0il2qrUSoVVMx65La+4yWl84jFotRc+BCFUsHqteto\nuFRDY+NOLJZ5+P2dmMxOkpL+8/Q53JXIVHd3N1/60pcYHBxEEAS++tWv8s1vfvPKwSdBZKq5qYoT\nx44RDsdzofMWrL0hQf9OEImEOXJoO/WXGlGplCxbvmxSRItuhI72Oi5eqEYUBCpmzZ5UR59g0Mev\nXvoJKsVjGIzZuMcvo1Lv4kvP/bdJNaudLASDPt596yVcrkwEwYhKeYEtj8Zd0T2eUV57+Yf4A4ux\nWApp76nEVdHAV/553R1T526GSCjMxcMnGXINkJKeQeHs6fQ1dxCLRkmfkks4GOLVH/4blkVWNGYd\nw5cH0HTqCBMkZo4heSVmlC9i3vpV/Oo73+PUwRqiugD2stno0lMIDp1kafEytvzR1+hr6eSjHx8g\n6DOg1HjZ+MJS0qZkE/T60ZuNKK5TuAr6/Lz+D2/jG1+MzpiGe+QUFasirHjy5gp9QZ8f99Aoeotp\nYjV+IzRUXuBf//dR6Cyj3DHO6rWLKC2bTyQcovLcdtp7L2DW21k677FrzDVCoQC//tVPkGL3YzIX\nMjZWg8FwiKee+cakzM/urgaqzp9DlmVmVMwkJ/fuueWfRSQcorJyP92dPVhtFhYvWXsTil+8oWZs\n1E1WTgbLVzxwWz9O91Jk6q4Ct9PpxOl0MmPGDLxeL7NmzeLDDz+kpKTktk5+K0yGOuCNcOzITs6e\niZCc/CDRiJeR0dfY+viaCYW2/0wYcLbz1htHcTienfjb4OAPeO75bZPWFTrZCAX9dLTXEIlGyMgo\nJMGazPBwH7/+1fe53KBDq11PRmYSsiaD2tBf8IdvbGFh4u3vIO4EQZ+fd3/8M4bkPlAK6Nx6Hvna\nC4w4B9n/7ttE5QhJ9jQ2Pvs0oigy3DeA1qAnKTud/b95m9OXP6Fz0EvY4EdoE0jImIpK08mC/EU8\n8kcvAPGctX/ci95spLe5nT1vvk5ECKFXmnjw2WexZ6Zew1JxD41wascpxof8ZE9NYdba+dcN8p8H\nfo+Xl/78HRqEhxDb8pjjEHC7X+T5P3jhhhZ7AOFwkJbm83FeslbH+XPnGR4eJTnFwfr7Hr4rUbXJ\nQl9fC6Mj/RiNVrKyy+5qt+b3uXn1lZ8hSxvQG7IYHa0kO6eHzQ8/d8v3fmHVAVNSUkhJ+S37wkhJ\nSQl9fX0TgfuLjLbWDmzWJxBFFWqNFYVYQX9v5z0N3JIk4fe7USnVN229vVPo9GZk2UU06kOpNBAO\njaJQ+NDcxqrA5ermcv0FZKCkdMZVTJd7CY1WT1HJ1Tn0fbs/QIotR6txotPNoburmsR0NSgkhBtQ\n73zjHip37WPI5SQtM4eC8mmMu4bRGnRklRXeVuNRfeU5XMpeUubE7320xcXJ3Xt54CvPkFdeQjgY\nQmu4ogD42bxxV2szmQsK8J65RE+Xl5gmgreziry8LKbOmkvjmQvEIlHSC/OwOGz4xj3seuNV9POM\nJFgTGW4c4F+++SekFmRjTXRw37ZtJOfGr8Nst7H2yzdm9UiSRCQURq29UjQLeH0M9zpRqdU4stNv\nSFkMuL3IcgLipwJParUFWbYSCHhuGLgj4RDvv/tL+npTUSgSkeXTPLBpBbl55Tc8jyzLd2Qwcbeo\nrjrCkYN1IBQhy6eZUdHE8pUPfe7gPTTUTSiUjcMRZw85HGvo7Pgu4XDwPzTvPWk57o6ODqqrq5k3\n784cJf6jYDIbGHD2o9HaPy3IODEYU+7Z+QIBL7t2vE5vrxeBMHMXVDBv/tpJyd2azYksWzGHI4d+\niiBkAF2su2/1La3MBgc6efvNt5HlpQCcOfVLrFYVwSCkpiazet3mqzSm7yVkWWZoaAS741mGXD/D\n491BNCoyOvQxxo3ZKK6jBhgJh/ngpy8xYhzAkGXiyPmdbP/xbjJynwepg4JZjWx44YFbBm+/14vK\ndCWfrEnQ4evyAKBQKtEZbzxNEmx2hob7KV9Rgb3ZSuf+JqaWzGXl1s2c/qiW4d7cuDmvdjtb/2Id\nkXCEmCGG1qpHlmR6L7bjThmlZM0sQmNBXvru/2R6xWocWYlMXzEbjV6HLMsEvD6QQWcyIAgCnZea\n2PPm6wTDAZKT0tn4zFNEI1He+5fdBDwZSNI4RXNVrH1+43Xv35RoRaVyEew5hTI4HY9nGK12HONN\n9D86Ompx9jlITY3rwQcChRw5/Ab5BTOuP769jn17dhEIRMjITGb9hq23be32eRAKBTh+tJJE+zdR\nKg1IUpSLF35C+Ywbc71vBaVKgyTFG2oEQSQa9aBQSCgU/7EpyEkJ3F6vl0ceeYTvf//714ipfOc7\n35n49/Lly1m+fPlknPKusXTZWt59501crlYkyUtmlpcpU+6/Z+c7engXvb35OByrkKQQlcd/TUpK\nHTm5t8eWuBVmVCwjK7sQr2cEs2XZbTUqXbxwFoFVJNpnEY1FOXOqgZHhMUrLvk5f3wV2fPg62578\nOs7+Vk4eP0ooFKa0rIQZM5dNuhaxIAiYTErOnftHBCGFUHA3CmU/NkcZfREb/uEx+J0c90jvAMMh\nJ4lzknF2dtM53IkcSmGqYyYanY3W86/S29hGVunNW7mzigo5c+4gobQACrWS8foRymffXr1j5cOb\nee/nP2O4bxBVUMP9G59i7dOPU3PoDMM9xaTkxnPSY4PpnHj/BIu3LiTkCuIbdNN9po3O802oHVoi\nnjDjnjE6usdQB9JpPi/QduEDNv/JZo59uJv62rMgCBQWljNv3Wp2vvEK+jlGLDYbI00uPnrlNdRS\nKtHQOhyZZciyREPlW0yZ3UDBzGvzw/5xD2F1G+ND7xAbUVI/nsG3/+THN/2xj0bDIFxhwqhUZrze\n8HXHjo0NsmP7XoyGZzGZkunvO8G+Pe+yZetXJsbcrOvx8yASCSFLmgnNH1FUIooJhEOBz33MlJQ8\nCgtP0dj4GwQhHeRLrF63fNIlJA4fPszhw4dve/xdB+5IJMKWLVt46qmn2Lx58zWvfzZwf5Fgd2Tw\n1NPP43S2oVSqycgsvqfbub5eJxbL2k85oloUilKGhpyTFrgBbLbU2/a8k2WZQMCLTLyO4PeN4/dL\naDUeQiEXiYnzGHSdoqvzEju370er2YxSZeLwob3AEWbOnlzBKlmWCYclFGIFkI+oyCAYeI+gfxW+\nGjfH/tcnzPx7x1UsCVGpRI7INJ6/wHhshIDOgxSN0tX8IVPKv4yotBMK3Jo+mlVSwLoNj3Fi316i\nUS9z56xi5qrb4yMnpqfw1J/9KUM98fREcm4GoigS9IZRqq7kezU6K92N7bz54yr8fje1/1iJqkwD\nRQL6DAOX91UT0WnRirlYU8vRm1IZaHdx/L3d1HafInldBoIgcPlUFbGdEjFTDJ0tHqAsBYmc+7fD\n+JwRDIY2yvTfQm9KRVRk4h0bv+51H/pgO31iL4ppBSjGHXi7Ojh88H2e/NJf3jCYpqYVoFK+gtud\nj0ZjZ3TkADNnX7/IPjzUC1LBRCNbYuIieroOEotF6Wiv49CBAwSDQYqKp7BsxYNXpR0kScI12Ek4\nHMTuyLztLmK93kxSsgaX6zgJCbPwelvQ6wfvygdSFEXWbdhGUclFfD4Pdsf6e9Io97uL2r//+7+/\n6fi7CtyyLPP8889TWlrKt771rbs51H8IjCYrBaZr3bAnE78tMCTarXR3tqDRzEWSYkRj7Vgsk5tP\nHx9zUXPxFKFQmCmFxWTnXL+rLxIOsf/QS9T1H6Cj50WShh7FM5KKx30cpXIxNRffYsqU5Qj4cTq7\nkOW5mMzxVavAfdTVvTPpgXtwsIvevnaychZg0KfS3ibh8axFo01GZS8mMB7m3O6jlCyswJ6Zgkqt\nJjE9mWRjBvXnz2EoM6HqVyCmJjHsPYfDtQBRcZmkrNvzXyxbOIeyhXPoamihp6WVuuNnKZ5XQc3h\nSs4eOIRKo2LpQw9SNPtaiqTeZCSr5OrJnFWWxamdlQQ8GSjVBlzdO/Gp6sm7v4gErY0+VxfaHB2l\nU2bT1dGMJzCG/1QYg8lIQ+0PyMi4H1DgcvajzzQgKuI7HEO2mfHOIWSvRCwSQ1QpOLvjIM6+LrQL\njYz2fYT78GXmLPoR0chFRvoN/OqvXgVg9n0lTF0yC0EQ6O/qxBdSojQXIYQN6FOUNDa24/OO3bAz\nMCEhiS2PbuHo4U/w+QLMmV/A/AXXb//W6YzEpIEJ38xAoB+9QcuQq4ePth/EZH6KhAQbdTW7USh2\nT9jxxWIx9u99i8bLHkTRgla7iy1bt13DarkeRFHk/k1PcPCT7fR2HyPRYWXVmm13XU+KN9R8sewO\n7ypwnzhxgtdee43y8nIqKuLSpd/97ndZv/73a5x5u4hGI9RfqmR4aISk5CSKP4cx6e0iFoty8vge\nai7WolAomDFzKiPDJ3C56pEkL1OnJpKXP3lfBo9nhLfeeIVgcAFKpYm6mkNseCBIYdG1P0xnq3bR\nFDlDzsZyLCNJ1O1+DTlcRFHJ04yPpRCN+mm8/AO+/AfPoVCAJPkm3huN+tAZJndn4hrs4t39/8xw\nag1DsXEMzmzk6EqgH6VqFXIsyFD3Xg4d66S2oxK7LpWHvvY8epORZQ8/SGPjBTSClqzFhbiDXpy7\n6tHodrL+D1Zjcdxas/m3qDtxho/3voMyQ0XUHWHXL1+lfagBVZEa+qD5n2v56l//3YT+x82QPiWX\njS94OfHemwT9MUoX6WjzOtCYtUgxCb3ZQDQWwZGRitlmo/rkUUj0MZLRhs+gpLfle1jtdloaPYwc\nbEQ/xUHCgjzCHR6SUzIRk62c3nUaSRuj/0AnhgdSUGTrER1jDA1W88m7X0GfZqGuMR/7zOcQFCJV\nP9nJFP8wtulT6DMZGL7sJqyR0EUjMCSj1SZe131mbHSA6qqThMIRioqKeXTbV295/6lpBUyfUUPN\nhV8gKJJQiK08sHkjg4OdwIwrK3H7KlqaX2Tlp2KSHe0XaaiPkZLyVQRBZGysjoMHdrP1BtLLsViM\nhvpTuAZd2B2JlJYt4MHN15dc/a+EuwrcixcvRpImvwPwXkCSJPbtfpPGRi0azRSqq+rp7+9l1epH\n7onHYtX5w5w948Xh+FOkWJCTx9/g/k2LMZtsKJVqEu3pk3reluaL+H3TSU6Ju3L4fDbOntl53cDd\n62rClJWIIArY7Kmkl2fh8eRQUroRj3sIn8+FIGRSMWsZfr+HqvO/wOkUUIgm4DTrNkzuD/OZix8h\n5AvMsC3ickM9bs6gG2/FaitAkgIEO99BSqkmZ/N89CYjgxf6OLPvIMsfeZDknHRKy2fRJ3eiTzRA\nl8ycp7dw37NP3tHnK8syx/bswrYoCbVRQywcZd/2tzGsNJNQZEeWZMb3DXPm4wO3FbgBCudMo3BO\nPBU26nTR9sMLRAJhVDo1yVMy6KxsZjhlgLG2IQJuP7G1FqJEiHXVonQ4GO6IQJ5E2KIg0N3F6KlR\nDI55CNPKUTuyUZnmExrtA5oIKYxEhlXEonrkaABV8guEA0HCww6iKFHb04l6V1P38imsC+zEhKeQ\nu9qhpR6LNgmLopSSitRripPu8SHefOPXRMJLUCpNNFw6zIb7QxQVz7npvf/WN7O4tJVgwIvdvgSz\nxU5z01kkqW0ivx0MDmL4jCmBz+tGFDM/tTEDgyGb0ZE9N3xmB/a/Q21NFI22jHC4iZ7ut1i/4Ykv\nlG/qvcAXunPyThGNRgiHAmh1xmuKZ6OjTpqb3aSkPIUgiEjSNOpq/p35C8bvSaW7raUdi2UDSqUO\nlDrU6rk4+/soLJx9R8eJxWJUnT9Ec2MLBoOOhYtXXF/MR5ZBuPI4BUFxw7Z6mzmN/uEWDIkWZFlG\nGVSjVY3g87aj1drw++qYNTs+MfV6E48+/jxNTVVEwj6yc7aQlDy5HWahiB+VToPRaGVGxRycpg7K\nipeQl1nBvsPHUCjPkb4sE70pnuvUJxsYHnQCcdbHg195lnMfH2bYNUDq9BwqViy6ZuJGIxGqDhyj\np70VmyOZuWtXojcbf2dMGIUm/hnGwjEEtcCn6qMIooCsAuSrjzvQ3s3Y4DCmxARS87OJhMJ4R8fR\nm41oDVcCkjXFwfJ1mzi8dzuCQcASTORrf/I4olLJGdcBonMiNIVdJJqzMBcEERsUuGOj6BPmoFYv\nxudrw91RTbG/HH2th5SUs2ze8gxqtY6fOM9Qc+4AmkIjo51j6IeyWTlnC709H9MbMGIXlRQnJeMS\nW5mWn8+KafF0j3/quxw/+hEjw+OkZaQzb/7qa+ZNa2stQf9MklPixVq/P4GzZ7bfMnBDPHh/Nh/c\n19tMd3cXCKfp7h5Fo8lEpaxnxaqHJsbYHenI8n4ikdkolUZGR09RVHT9NMngYBd79+whGp2CUtlL\nfv46Gi8fYcGiL5bZ8L3Af5nA3dJczb49+4hGVdhsKh7Y/PhVDy9ug6UC4hNPEBQIgvKeGZMaTXqG\nhgbQ6+NNI5HIAAbDnefaTlfu49TJMSwJmxgfH+bdt9/iyaefu6axJjd/KpUnX2Fk2BKv9vsOsO6+\n6zvvzJ+9if49rQye6kSOQZFhPhXPreHE8d0E/EFmzZ3CwkXr4wXDUAC1RseMiuV3fO23i+Kc+eyt\n/TlKjYpYNIZyQMXUxUvIyi7FLZbTPOaH0b1I0RgIAt4ON9M+0+WqNehZvPnGfGdZljnw5vvU957D\nmGem29lKz4ttPPbHX0f1GU2OabPnU3X6GAmliQSG/SRqkvG3e/Fox4mNRlD0KVj07Su7jepDxzly\ncAeCTWS00UW4U48nOIglR09ySirrHnmcwllXdFOmL11AblkxAbcXs8OGzhgvLvZ2tOEeHUU4M0xY\nNYYvHCJ5KAe3FEOnzUZUKBFkLWFvMgk5j2O15tDV+SZvvfU9Skrn8PAD38ZxIovW5iqSAnmoMx9C\npTKRmraEnp5/IhQsw+nsxWisY+asK2kEvd7E2vXbbv5wZJnfzpk4hLie+B2io72OD9//GKVyKYJg\nR1TsYenyPPLzn8WScEWkKy19CqvWODly6AdIkoLMLDvLVl5fx/7wwY/weedhS/w6sdgQTU2vkJ4e\nuemc/n3zyu8V/ksE7rHRAXbvOojZ9FU0mkRGRqvZtfNtnnz6GxNjbLZUklNiDDgPYDAU4fXWkJNr\nxmi8sZbD3WDBopX09vyGwcEeZClEUpKTsql3rmpYU1OH3fF1VCoTen0aAwPd9PY2XRO4ExKSePTx\nbZw7e4JQKMzS4pkUFV9/dW8wWHhs018z5OpGVCiw2zNRKBQTDBe/38Ppyj1UnjxEMChgsdhZvnLp\nPTNHLSlZRCQa4WL9J6hELcvmPkFWdunE6/rCaeQHRnHtrQMBiosrmLV66cTrsizTXtPAmGsYa5Kd\nnGnFEyvuoM/Pjp+9wicfvottugNVZgHmAivD55y4uvtIK8iZOM7izRvQ7NNx/uhRehq6SErKRaMX\nGb80hsloZtM/Pkd2WSGyLDPqdHFk70508wz0dXTSHR4h0NtJ0rKFuNXjmDL87Hv/TVJzs65S5zMn\nWq/RD5m1Yjmn/uoTIj1jyCMiycY8nnv+e7z0y/+Nu6YT0a7A196DLrgQnc6B399Hl3snA6m9jHl6\nUB1Uc9+CF5g5fQ0yAlVnT+N0/gpBEJk7L41p07PRaHTk5Dx/U0nS6yEvfxqnTr3M8LAJldKMz3+Q\n9RvuvDZz5vQp9PpNmExxP9aBAQlZil0VtH+L8ulLKJu6gGgkfEPBNFmWGegfwZG8Ho+7DbXaQTBo\nxmRqxWK5/mrbNdjFrp3vMTbmw243s27DQ4hivMZltaZctduQJAmvdxSlQnXTTtL/KPyXCNyjo06Q\nc9Fo4s0i1oQZDA7uIhIJTwjAKxRKHtz8FKcrP8Hl2kthcTLz5m+bdD7yb2GzpfLE01+hv68ZUVSQ\nmfXA5+q0UimVxKJ+VKo4f1aW/VcpJn4WdkcG6zdcf3VyzXFValLT8q/5eyjo5923f0ntRS0ezyrU\nqi50umL27zmLRqMhL3/GpK9WBEFgevkKppdfn6kiiCLTNq9j+sOPIEnSVV2Msixz5L2dVF86imhX\nIB2PMat1OUs2bwTgF//9f3Bx4CSenFGGxpx0vNyEY14qZqcVPm0rbj5fw5kDB2m/0AkBLa3NzajL\nknGrZKSuVrY+8SVWPRlnPbiHRtj58qv09bTTVH8RpaQioosS1CoIKUYQ9UqU6mw87iZ0Bt11ZVV/\ni4DXR9WBozScrcLp7kPOSEBMTsAz4qOvv4mVyzdy8kQr9FpRBTXICTZUag2dPR8TyRggtyyHpLRs\nenwN/Ozdb5FSnofkl8g2l/HI0tWICgUOR9YtTRAkSaK3p5FQyI/DkXVVMLUkOHj08SepPn+SYDBM\nUfE8Cqbc3EP1uueISYjiZ0SzBDWx2I0lWRUK5U01TwRBwGQ2frpQi+L1NGG19rJm/dbrEg5CoQAf\nvPc2yJtJSipgdKSKf/2ff01yylxEUSQnV8eG+59EpVITCHj5aMdv6OsNAiFmzSll0eKNCIJALBbj\n7OmPqblYh0qlZNGSxRQW3Vn6czLwXyJwGwwJSFIfsVgIhUJDINCLwaC+JsDo9aar8ml3ClmWcfa3\n4fWOYrWm3FKZzGiMu4fcDcqmFvD+u3+HIOZiNtvIzg6QnXNzc4O7QWdnHSNDmchyKgkJc5AkN+1t\n3yMa8fP6a0NkZh3lwc2P/t5a4z8Ljf7a5hDP8CgXq0+QtDodUakgFolR/clxKpYtJhQMUlt7Ctvj\nDvx1XsRYhMhAkHBPCO+wh2g4QtO5GnZ+8DLdHidBjYWR6mpiajVmQy723CK8ZgOHdu5kxbbNiKLI\nntfeYDTBRdrsHJo6LjLa7UKfZyY6HoYADHddRGnWotd6SFDoJ9rjY9EordWX8IyN48hIIyU3k/df\n/AVDqj5aW+oZdPXCmBWERAR7DgeOvsvf/uUbZGSeY2jIhcVSirO/n7q6/8W45yyJUxSkpMZrDf0d\nbWiLjSRNy0aWZTrP1VEeXEHBlHhhOhqNEItGrrt6lSSJfQd+zuWxU4gGBYrTCjYv+5OrRNASE9NY\nvfaRu3p25dOnsXfPLmRpLdGYH1GsJC//1pKsN8Pa9Rv58L330OsL0GqHKC0rJi//+j8q7nEXwaAN\nhyNOa/X5nIyOzqCw6Dm0WgNtrR9QU32MWXNXcfzoHvp6Cz5tlotw5tSrpKZeIL+ggurzhzl5YpjE\nxK8SiwXYtfMtDAbzDY2R7xW+sIFbkiTGRgdAELBYHDetEjuSspi/oIBTlf8HUUxCqehh08ObJr2y\nXHlyL6cr21GImcgcY826BZSW3Z5m9eeBa7CLc2ebsNsfw+vzEQodZcGibbdsZb8bSFIMBA1arYaA\nfwxBkBkd6SLB+gIORxHRyDgfbX+HZ778rXu2W7kTRMIRBJWAqFTgG/AQHPXj93iIhMLEwlFAQBBE\nFBYFOtlIwOMjqSQDa6kDV1cvBz58H1dCL76wQFDdSyRnBKlfZsw/jKY/hFowEXzp8iEAACAASURB\nVBz34eruIzE9BWdvF44H0hAEAcfMdMbeHcLXOU5EihCLSIyfu4TKrkaRaCOSGu8qlCSJvb9+k8b+\nCyisSmJHo1ixU9d0loRiO27nCEKxEskeQXZH8F5sJiiWEAx4aW9ro79vALvDxrIVG1iydCOdnZfY\nde4n+IfHAYHAoIecBfFcuiAICEaRYDBO4aypOcyRqteRhBiZiaXct+pr6HRG+vtaOXb0IM6+dpya\nsxStn8PgUAfj8hBvbP8H/uzrr91Uf6Sm9jBnL+1ERmZW8X1UzFhz0/lWUjYfUaHgUt1h1GoVc+Y+\nfM3CR5ZlhlzdhMIBEhPTb9l4k55RyNPPPsfQUA8aTRmpaQU3vGatzogsjxCN+lEq9bg9fSiVGRPm\nCDptEa7hOuDTZjnzyk+b5dQolSUMDw2SXwBNjc1YLJtQqy2ABZ9vHl2drf9/4Ia4gcJPfvIbdu/1\nADL5BQmsu+/xG275BEFg/sL1TCkqJxDwYLVu+Fwa2jfD6IiTs6cacTi+jkKhIRwe5+DHP2bKlArG\nxgdpaa5DEASKS2ZOWkX7Ul0VyMvIzIrbiY2P51NfX0V+wZ1vVW8X6RlFaLUvYbVZ8HiO43GfRqlU\nk5KaiNWajCCkMDi4nVDI/3v3xfwsYrEYsUgUi8OGTZ9M80d1uAZ6iKgjqIc11FWeZv7GtWSl5tN9\noBXMApGBIAmGRHJXFjF8dICjez7C6esmYPUyFhoCNIgJSiRXDFkRY6itEkUfZFfk8sYvfsC0svkY\nTRZ8Ax6MKWYMSiNCiohljg1f2ENg3I+6X0NCRiLp9jx0iXo66hoxWEzUXj5N+vpclCol3e5Wjh3d\njaZIRygQJEQQhUIkOhJGFsPEYmEKcqfx0Y7X6XcWYzGvo7O9iQ9HXmPbky9QWDQHheKbnK/fg4zM\notKtuAY7kewxwv4AglMgeXoOfb3NfFLzKwyzrKi0Kro66jly4nXmz9rE+++8j1K1mWg0G1f0JOPV\nu1HaRRQ2Fa4znRw78TbLllx/RdzcfJ4D9a9gq4g7oh+++Bu0WgOlJYtu+Lzic2MuxSVzr/u6JEkc\nOvA+tTUDiKIVrXYnDz/y+C13tWaL/ZYKmLIs09vTglLhpubit3A45oBcRaK9AoVCgSTFCATrSU6K\nz1tHUiKtLU1otPZ4s1y0jQRrfKWuN+gYHx9Br49rn8SiI2h1v3+xqS9k4N679xAXLzo+lSmVaW56\nn9S048yavfKqcbIs03j5HJcbGtCoVcyas/CeqfsFgl4E0T7hmqFWW5BkHd3dDez+6BMkaSGyHOVC\n1Ss8tu1prLa7F6yKF/R/p6IvfX6Z3NuByWRj6+NPcvrkYVJSRtHr02ho0JCeno0gCPh83eh0Mmr1\nvVv13woNlRc4+OoZomGRzNIEVjz8EDV/UYlqqg67PY2sggKqTh5n6oJ5fO2fvsOb//pDetra8I16\nSC/PxX18DGFUoCFUhdKiJNIURmkUCPSMohTN6GfrkQb9xDpDpK/JZ8bDi0GSqTlcydIFD3Dm+AFc\nLX1EGiOk5ebGba20YUSlgDQgo8xS4XO6MdrMXD5VR0vVOJ2+IUb0fkrmT8HZ0o1+mhGDxYwfL7Is\noVNqiPo0qMIa7FodS1dsZOeHhwhEe+gd241GYccfEBkddZKUnE1+QcXED3goFODQ8ddoPnQGrdrA\nxgV/hCMpi/Pn9tEdaSDaFUYQRBKUyXQ4a8nqKyUSnY4tsRCVyoSyzcaou4ns4mL8LeOkFOdzofVj\nFs576LrOT2091ehzjWg+5V8b8hJo7aq6aeD+LLzeMUJBH2aLY2Ix1tV5iZqLbpKS/hBRVDA+Xs/H\n+3ay7ak/vOvvy6W6k+zfewmj8RlSUvqJRHbypWefpbGxgbbW7wMyxSVJTJsev/4ly9YzNPQaLlcD\nsuxn6lQ7+QXxtNOixSt45623GBjoQZb9JNq7KC55/q6v8U7xhQzcHR0uLJaFDI0IgIBOV4proOaa\ncQ31p9m3+wIG4xqiES9tbW+z7amn7kqb4EawWlPQaJx4PC0YjXmMjlaTkCBwoeoskrwShyP+YF0u\nJXW1Z1my7O4dbsqmVlBb+w6jIyoEUUkotJ/pFTcX0p8MJCamseGBJyb+n1d9lMOHX0TAgUo1yKaH\nHprUjlO3e5ie7gYEQSQ7Z9qE0/j1MNDRw96f12G0PoHZnkT35TPAaTJK83CsuaIA59GPE/QFSCvI\n5hv/9k/EolEQBHxjbuorz7F75+to7ToMZWbGLg6RPJxGX0cnxpUaDPlGlMl2vGNuChZOQxQEUAiI\nVhGdycCXvv1tRp2D+MY9vPajHzAqjiL53IT7JWJBEVeVF994CFvYQadHRVrenzFy8V/xdfdSO1LD\nUF0f2iwD+csyCKlDxGxRDMMmpBwLlnorzz70NdLTptA//D8IphnRF6Xh8XTSe+YkJ06L5GXPoLR0\nMSqVmlDQz6Hjr9HScx6j3saq+c9MMHLqG47T39uBKtWCqJDxDYxh86WhVKqRpTgPXqdLJU37IOO1\np/D7x7HaU8iZOZ3xyoEbPgO9xkzYd0UDJuzzo9feHvPi3NmDnDh+HgELRqOXzVu2YbOl4vePI4iZ\nEywPgyGXsdHtt3XMW6H6/AUSErag06ViMhUwMBDB5/Ny/4NfwuMZQRAEjEbrRKrHZLKx7ckXGB3p\nR6lSY7WmTLzmSMriyaefpbe3EYUigZycdZMq0Xy7+EIG7pwcB9XV9chyLiATCNTjSL6WNnSh6gJm\nywMTXOnBwXFaW+qwzZ38wK3TGdm85RH27vqQwUE3DocFBDhxrJJAwEwg10xm1hQUCh2RSHRSzpmU\nnM2jjz3MxQvnkCSJaeX3Tapzzu1iesVScvPLPnW6d9w0sN4phod6eWfvPxN0eCEGCTVJbH3g/5lI\ndc0t0vJyr8x7jYO8xyCeo6cZrKkG4zmIiGiStnBuvANlukj0+GUUaQYCZ9uJnQ1zru7nWNZMR1uU\nBzIIGjWCIDB8+gyhPB2hmhiyMIQsxhDdEpZHn8Bbcw7/WBilzoKQ4uBUowulLCEHo8Quj9KRN4a6\npROAsY/P4+6ZQzTkJOI8hiTpUCRnILo0JCWWkWiO4Y2WodHbKJ32TRprfk5XXyWOJQ6CMS/1B86T\nnp3H7FnLWfvoo3zn5e0Marz8cv95bJ0x+kUXEaMf0SMT6W1ASupnu+cTFFUnMZw8SPqM53DWvYVH\ndwHNlBRivhFOvvf/kj39T1EZErlYdZqIMYfIhTCyOobsHKI51cL7Qxa6Y5e5VPsbEK2U2lzMT70f\nKTeKPtHMSEMv03NW3dBntaJ8Dc0fnWUg2A4CGEYTmL3h5jz6S/XHqKz6gEu1bRSkf4fExJmMjdWy\nb/cHbHvq69hsacjSLiKRBZ823pwlN/fzSbH+LkSFiBT6zJyUowiiEkEQbihbrFKpb9hoZklwXJfG\n+PvEFzJwr1+/gra237B77w8BmSmFCZRPv3YFKypEJOnKA5GlKKJ471pdk5NzeOLprxMOB6k8uZ9L\nNWZy85bQ2HiCjvZGBMGFUnECm20Gw8N92Gypd10gTUnNIyU1b5Lu4PPDbE68J9rcZy58RCw3SnJ2\n3NNw8HIntZeOMH/ug/T2NNHScZ75g0oiTTNQ66ycO/AuQmI3GFIgAqG6fyczeQ1TC/+M1rOv0t2y\nD2WwALVKT7R7CNdPX0Yd1GJOKcSky6Vg6pdxdvYzqDuOOqcAb1c7gb5BMkz3U2T8OrG5QYLeQRRK\nDeOuFjo/eZvIYTcalZXs3D8mqW4B1MWLuOd2nCHb/LdgUNAd+hH+MT3aQDIRhwWX2UVusJJwsIFo\nZAk6YzJadSLJ8zNJy06l7Xw9AdnPQFU3X/3F3+Js76ekr4gWx2yi0QC9/dtRFynRzpaRQj3ExgdQ\nlBjQFCpRJmjxHztDcF4u3u5jaFbbQBxCIYpEtSOEph5HzMtE3K9BlZSJ6DAjR6OE/TUoZniQN9WT\n/mAp3kutdHa14h1ZzreXvsC56t2MDjqZnX0f08tX3fCZmUw2tj34d3R1XQIgY0nJTbuPGxpOsL/u\nJaTsGOEwNPf8CLX6rzGbSxkcfB9ZlklJzWP12goOH/wBkqQmNdXIyjW3aA66TcydN4+PdnxAOLSU\naNSNwXiR/II776n4IuELGbi1Wi3f+tZzOFKdN2WVzJ03jx0fbiccXko05kVvqGLKlGfv2XVVVx3h\n2JETyLKKwYEmsnO+g9GYTlGRTGvrDmLREZQKLUeP9CPJ9cyoyGLZ8s/PbpksvWJZlqmrPcHl+kbU\nGhXzFyy5xvz1ZvB6x+jrbUKhUJKRWTKprBZ/yI3afqW4o9SpCYQ8tLddZPvJ76PMUROzRND3n2Tj\nur+g/fQYbmMisWguqNWErVUUp4g8v2IKYxXf4OVfOvAGDQwln0btKKVnuBadUiY3WY1aO4zc8SJr\nSlZw6qIGSeVDsCSRZJnLwxu+PbHlleV0Ptn/DrU9QfKNLxAOX2DhgmwWL7mi1y5JEuOntSQkqBgZ\nGWJEkYWkriHJup7eoR2MCS8xmJWGLDbS0+hCobIw6NxBQBpmZLib5HUZGGMWpEaJUx9/TMBlwpr0\nMEtN8dqIqztMWqGebmcjsk2iIawkxZ5BcV78uXUohlkdkDihMdCw9wwBKYhKpSZbk8WzRcVklhTw\nYlkZPR0C/mAv/hEnAe84GaEBwt9/Ea1WR5pJTyQrC00sFb3exNJFt9cDAKA3mK8y+L0Z6lqOYi5O\nRNbIqJxjyBkwMlRFLOYnKck+8R2fVr6Y4pK5RCIhdLrJM4ieUjiTh7dqaWm6jEarprz8WUw3MYz4\nz4AvZOCGuETjrfzr8vKns2WrhuamBtRqFdPKn7lnHos9PY0cPngJu/1bKBR6enr+O60th5hR8TS2\nxJmEw02o1BdQKZ/BklCGJEWoPv8yKcmn8fm8hCMR8vKKbytgBgJeDn7yIW2tHRgMelavvY+s7M9v\nB3fxwlEOftKC2bSGSNTDu2+9y7anb68WMDLSz7tv/YZAoBBZCmN3HOeRx56/qVnqmcYgh8ect3Vt\nY74MBk6dQlMcQo5JhC8NMZBrZ6TmVaL5AkqVHlQQGOimdd/H9A9FCKpsKMxG5EgYOZbCuf4I46c7\niIY8tLmGCEUGkJJVSGODBANBgqMBRpuOo0pxEOoYpFLZiRQKEzsdQpYjqPRu6qK7sGTHOfchzwCd\nh1vQWF5AkBTIFNK0+0ccIx+F+sp9D9uyuHDpp4S9KQRDPhRGNwPenxBO3Id2foyMtXnEvBFCZ4eJ\nSYMULSqmcfcFRjSDDLT3kKC2Uzi3nIFLPTjM0/COetARD9yR8AiJacmUzp+O3+fHPGylp6edHrmN\n/vYu3O0BWsU3CX9cT9gioi6wEXT6ae/pwvjnZhRKJQ98YxU7fngUz3AubVyk/IUZGO1G6irPoh3R\nMWPTIkYOnCPWmcirTVrc4x6yczJZuXrzNekwWZZpaamiqeMMGpWOmeXrbruWpFbpiIYiWBIdZOU4\naKqsxefRkWTrYt2Gq1fVKpX6lg1DnwfZ2aVkf6Yb9z87vrCB+3aRmVVMZta9zftGwiHaW2uIRjMn\n3DWKCp+nvv6vcLmiyJKfkjILba1mjJ+29IqiimjUxo7t76BWb0AhWjlz6gMefuQ+MrNuHoQPfPwB\nLS0pOOyPEwwOsP2DN3j6GdvnNmKtuVBLQsLWCSnNgQEXne0Nt5x4oVCA3R+9ztjYTNLTVyCKIgPO\n3VyqPcWsOTfeSr9sPI1prptE060LmBbJhFQ5g7GaahBFUp9cgHF6jOGX+6EgCLY4F1qQ3ZDSQcrs\n2bS/tB8pRUQIgDphCsblImypRwnYUtT0vVFDeKQPbD6kIS9ioQox1YDvYgNKixntRi3uuk58Pc0o\nS82ETALNTWfJX/BVLDPLkAaHoTWKkDoCgCzFkLtHCC8+jTYjGSkQxFPfipAWxr4whqf2EnI1mKb9\nIZHRNsL92zEZYlw8cxK92ojQKaJz6NEHjDgK0gi1+xHcAoVLysEjkJSWwYK1s3nvX3Yy0DmXcHAQ\n1/ArnKuzEj0VJs2eQ29nN23dnYSO+CAcIXr/FAR3iIjZj7WolARdEaJViVdqpLO+BXtmGlklBTz3\n3WSaztZw8HgeaWU5dNQ3osnWEhuPIcdkFNk6nLv2ECj5BRZLBq0tx4lE3uGhLVenEi5fPsWeCy+i\nLzATDYZp3n2OJ+7/77eV6507/QHeO/A9XL4uFBGYbpnNxs1fJy2t4JogHQz66O9rQRBE0tKnXLfb\nOG66EUSpVE2Ko/x/Rvx/867vAMPDfXz4/ps4+8J0dnSArCEjcx2R6DjzFyxm2YplKBQqbIlp7Pjw\nFbq7qrDbFxKJeHGPHUFnWEZmZlxs2ONxUHny0E0DtyzLtLV24LA/iSgq0Osz8HqLcbm6PnfgVigV\nhEOhz5wjiEJx83SH1zvGe++8TPX5DiKRabjHqygqmYFKlYzP2wPE0wW1NcfpaO/EbDYye+4yTCYb\ncjTCpmwLC+1Xd1dKkkT7xQbGh0ewpSSRXVYY3w4XlwFPXTW2buOD7N/3NiajimggguS3s2nJIs7v\nuYCkz8Ld6iW9sID8CiOb/tsDGBPirIZgRg77CXPugJOhbh8ehwGNQYdOrWM4QYVdn8BMrYkTTUNE\nbALp8xPRWHSMWoYY+OGLeO0mNEot+aZSzOEutIZULpz8DiJV+H9ynsyS6YTlEFqbl5gcI3g5wKaN\nm3BPD9F4eie9rov4ZQ+2wkwCYT9tZ+rRNOvw1oyjcmrQ6vWofCqEBoHBcC+RkTBJC9NQa7Vs+5v1\ndF9uo/rIKSg3M9o7gC/qpmb/SeT/y957Rslx3me+v6rq6pxnuntywAwwGAxyBggCJEESAAVmUaJI\nShSVJct3d732nj32er26u75XtmTL17ZsZYmSKAYxE4EEEyKRMzAIM5icu6dzqnw/jAQKAgNABSr4\n+TKnz7xV3V391lPv+w/PY7hoXHcfhewQQ/tew3y5H1egDTVvJ58fJNq4bKqlXC3j+wUzY0/AR8uC\nWex6fRNqXsHucKD2l3EJHmwuGW00DWbLRQ2RysrrOX3qv9E87VVisaaLsggHT21GjEpYpoW/upJk\neYSe3mMsWHDTu86/mppW7l3/1/T2HUcSZWasWPKWoYpsdpInH3+YXK4By9KJRLZz94c+ccnurlwu\n8OKWx+nrm0ASDdZcv5q5867MregPCf9B3O+CF7c8g6qso3laB7pxmK6uH2CYnVRWGty47r5LVq03\n3nQHLzz3E+IT+xCEMrPnNjA+9ibZSpIbTdXe8f0EQcDtdlEuj+N212BZJqYZx+F46wSlpqnkc0mc\nLu/bNsSsWLmS5599mrKyCkPP4vefpmX6p95y7M+xf++rZNOLqa+fQ1/fOOl0FcNDp7Db91PfNCU2\nte+NF9m3dxKvdyUDfaP09X6fpukxUqceZctJifyiVVxz63oObt7H4Nk48bGzaJVpnDUujF0GK/pu\nZsXGt3ZQ6Vi5BFGUOHP0MHaHg6WfvIG9zx+k//QM5t3wcTLxfsq5x9jwmZvwBv3omsbkyDjbHnmC\nhGOUmtubYJeA2/Iyc+0CNFXl9NghErtHeeV/PUnJKmJZJtqEhsPvInU8jhHQqbg1hppS6H39DRZV\nhTh75DRp2xmcC50MZrvo2XIKR8BN64bZJA6NUpZKPPbkEAvbV7HstoXse/EULtdsknvGSaYmsONE\nNRTkVTJ6UKWg6VhjJnVaC3pRJW/L8trOZzm4Yzt//k//wIIbV9J5/ADFiRxFfw7PTD+Yw+gjOqXh\nUbALmOUS1MsYviSMFlFPF+nNP4q7HGT5wmtoXXypHZ6/IsTNt3+IV557ElG04TjpJtweI35oFGHY\ngcPRhGWZIIh0nd/H6OgEr79mgrWFG29eSPuspZzvOsB4oBebR8ZZ8hKLNUPkymPQkUj9u8okHNj3\nOoX8cqLRqXrq8bGtHD+2m2XL3yyB3f76C/T11RONfAJdz/Pqyz+gsrKKmtp39hX9Q8MfDXH/XKJU\ntjuvuFV7qgV3ksrKdgRBYPqMxTgd3VyzWmLxkg2XxXm9vhAfvu/zFItZ7HYnmUycxx55gmw2gs3m\nIZN5kcVL39pO7Bdx07oNPPfMI+Tz7VhmnLY2+S3LABPxIZ59+nFKRQ8IGdZcfw3TZ8zH6fRcTOzk\ncymGBvuJxgQEYQfTpnXQMfsT79pZmkpmcLmWEK6oI5f7Lr29/4fhoTL3f/QzNDXNxjRNDh86SjT6\n50iSE5+vlXPndzAoPY60upJAu8ypw/s5/5fn0Us3YXd1cK57F4GYwpxZTQgzBQ688hrz1qy8qLP9\nixAEgVkrFjFrxVR9vKHr9J+KE6n/JIIgEI61EFfnkBpPYHc6ePbb32M43suFM6dpWDyd2OI63Hd7\nOfy1nYzu7iedn2RyzxiKWkKYJmBOmoh2kYk3htBKEbQRhfCGGHLQjhywkwxOcKFvP4nyCEazRsGp\nYvpN1KyGcjrD0R8fQIqAPSajxstsv/A8u3e8iCvipTyUp3l5O1bRQh9UyObS2Ouc5PNZ7GEHZoVB\nsmucVCpO1cZ6vD4/k3vGefob3+XBv/pzYtX17N/3KqXmIvnOLFYZBJdOKTtJIVmEShksG3p5FJb4\n8Q26aJgZxTYh88H/8sm3nN8zly6goX06pWweu9vFaHcfh17ZjiCk0Gw76Or6XzgccxkZeZmO2V8k\nGl2Kpi1n+2v/gmmqxKUxcl4NKSiS0gYRjou0rH1rd/f3imw2j9P1Zgmg3VFDLtt1yZiBviHCoY0I\ngoAs+xCE2STiw/9B3H+ISCZH2fT8E6SSZVwugQ/cescVaQsIgkA0Wkk6fZpgcC6GXsThjDN9+gfe\nNjkniuLF0qhIpJ6777mNfW/sRlU1lixrvyJp1MamDj76YAUTE/04nY3UN8y6eDMmk6Nc6D6FIMDh\ng/uAD1MRaWNo8CRf/+ev0tLaQGtrAxs2TrUrP/H498nnFmO3r6NY3MOMGfYrkvasb6xjcOAAmpYj\nmczgdN5BJOLk2LEztM9ahj9QiSAwtVL7GYraCBW1bgSbhCCJuBq9nH+lnyVrbqaYGcYVjKKUU5Sy\n+SnxJRvo77IDuXhdJQmHW2Koayvp/GlEQcYllnF6bmLnc5tI+eKE26MM+3oZnxgk2FVBqDVCZU0M\nfUhD0cvodhVhrog8w46eV7F2WzhtHmpGm1AcZTzBqQdIYTxHKVsgdHOE7NEkaSGBmTCwAoBhQcaG\nVathLfCioWFqBfSSQXhFDHNCR49rnHz8AJJNIhALIwt2inuLCNMFRElE7SojqhKarYToEac0MYI2\njuzcifrlMpIhoQ6WyeiTyLPsuCIelANlcmOn0RQRqcWNITZgmQMINhFvlYPZdy5jcv84hUyOt1vY\nun3eiw/JIwMDjElDODdEkKv8SF0naI+FEYXZRKNTbek2mw/TlDh3bj+WO0q1dxWl0jAaGSTkX7kQ\nQNNUNLWMy+1DEASamhrp692Ly1WLZemUywdpaLzU4zMUDpCI9xMMzv7ZbnQIj/cPJ+l4pfiDJ27D\nMHj+mccol9YRjXZQKAzy3DOP8vFPfPaKdHbX33IXzz79KPH4HiyyrLlu6VWV0tXUTueue65+NRAK\nV11sm9d1jYMHXuHM6eOcO9dDRcVdiKJI9/lOFi8NkMsmGBpUcDjW4/V2MDg4zo7tm2hpaSWbbiZW\ntQYAt7uWgwf+jUVLbnintwZg0eLryWaeYcvmL6Nrt9DSsoS6hunEJ7Zz7uwRli5fx9JlS9i181E8\n7uUo6igVQQOb4rhokKxMlnDIbkxDxemNYi9XkhntRi8FSQyNEQvXXVTPezcIgkDLohA/feTvkafV\nYuo5fGkdUVpPfGwE3+wAss+B3x0kLowyeWEcLaEiYqNmYz22YTuT+hhlqYiaU7AFZCyvgb1k51N/\n81dcONHJj7/9j2TcKXK9KQREcoMpJK8N4YKA5bWgKEC/AJIFTgOjN48U9iJUGZA08Fb7KAxnKTuK\nuNt9OHCRPBdHjAmYCRNr2KIkFgjMqgSvRfFEntSFBA6Pk+y+JPZWJ6XmAnacWMcsWmpnkR/JICLi\njHmprJ+DIK7jyJn/h7xvAKuURhgzmHH/IoySjpWxCFReWZlbd+cpKhZH6VFy2LxuvNNDVHmmMTZ6\njrHR/dgdVZRLZ2hqDuPyCHDKjr0+jNMZIzt+Dp/tV6OOUyffYPurOzAMmVi1m423foR5C1aTz2/i\n2NG/QxQFrl29lOkzLrXeu2HtLTz100eJx09jmGnaZ3loar7cwPkPHX/wxF0qZslmBCLRqRCFx1NP\nsVhNOjNxRcQdClfxwIN/Qj6XxOFwvy+i6ttfe5aTxwUmJ71kUrdjGn5mz1lEz4Ue+vueJxC8Ccvy\nIIpjOBxr8HgaGRr4Di0tLZdpnfycVN8NNpvMTes+RCKRJJdZjs8/FWMXBDualscwdJYsuwmf/wD9\n/afw+zzMmvUlXt71fQ4e2kl60sYMRwPzH+zgyLbHkB1zqAg0EaQX+3kHzY0zWXPnbRd3EtlEkje2\nbCOTmqSxdQaLb74Om3ypLG8yNcbc+9vBATZ7Bep4md7TZ6iqa+Bs31Eic6uZPmcuxlmDhopW5i5c\nwTn7MYq2PLGWWk6+sB9D0mFAQM+oyD0OxGaJfVteYeNnP4pst/PED/6Nqo31ZIUUOTVN/kIWfzBE\n9nwavcKAggHVBggSVMio8RwOw4Hb40UoQ34oh1JWcERdpPNx5LCdZR9eiy4ZHPvX3ViNJlqDgp7T\ncLid5LalwR9AmSzhWx1kLDcAKTDdJo0rZuAKe6aMG3bG0UbyXDj/XQyriJRtxKb4MKQUwzt6sQ3Y\naaidyf5Nh4g0BJh3/ZLLrt8vwuf3k0olwD0VErTyBoGaCLX1cV5+8d/RVBmPT2HDxs/i84XZt/cE\n6f1DIAk4VT+rbr7xiuevUi6SzSZwewJ4PAHGx/t4ZdshwuEvYrP5iI+/Ooy0NQAAIABJREFUwSsv\nP8sddz3E6utuZ9XqqWa7twr5VFTW8sCDnyURH0SWHcSqmn9jKpWapqKqJVwu3++EEuYv4g+euB0O\nN5KtjKJM4nBUoOslLGsCt/vtCdiyLPL5FJZp4vWFkWX7r0U06r1A01ROnzpPNPbfyWQex+VuoVxW\nKRTSNE2bRTr5fYrFFEq5h5nt9+F215BKHaOqOkht3Uz8/l3E47twOKLk87tZc93Vib4vWLiQrZtf\nQhDWYRgl0unH2PeGh0MHj9LS2shNN99N+6xlF8ff+YH/yrYT9VyzVmZt+1xkh5369jOM9/YTiNbQ\ntvTvLiOUXDLNv/3V/yIhjSEhcOz4GyRGxtj46Y9eMk6225ElGX/N1KpyYnAY2W7n2ts+QOIboww9\n14MsyWz4wH2svHU9A6fPE+it4PzLJ5mwjaALDtinIbj9oBcRF9mxqiw6xw7hecJHQ+t06le2El1U\nw4ld++gfOo82qCDbnLgrfJQa8mhpE5YKMGoh94CQtxNz1GGf7mB85xDF7hzum3wE51UyOTmOdkQl\nN5im8boZ1LQ3kdTjmLKOd7YfLaIx+fwYapWCrUKmkMjhiflRnGXkgky6M4nRoqOMlnHqHpTGSSzn\nIIaSwerNEZw1D3VJOy09HmpiHfQdq8blbef07lPsfuZvsYUMZFlm1fpbaF++iEI6iyCKuP1e1tx2\nG09971uUxTjWuTINVUvweAJ0n1dYuuzbFIvDnD71A77+z99g4eJ5rFt3PcePnUFVNTpmt3Pt6nfW\n4kklxzh79ijJyRG6xvcgBiUowQ0LPoYkSiC0IctT92AovIShwdcvHvtuJOl2+y5xSPpNoPPUXl57\nZTuGaScadbLx9o/8TjXt/METt2x3sG7DOrZu/j7xeABF6WLFygVvK71qGAavvvwkZ04PgyDR0Ojl\nlo33/UY1sN8Joij+LJasE4nMYnLyZUyzhWJRJZ3cRKwqSiAk0tTcTCLeSTw+hNs9yvU33I/b7eOe\nez/O4YM7yecHmDatnfar1A+fMoUV6Dy9g2JhkmQyQmXkT5FlP91dL+JwbOamdfdcHG+zycixOiqm\nO7E7p7QuWubPomX+W99ouqbx2Ff/lbODR1AdZagGj8/P1id+wrV33EIg8mab/bIbb+Sph79FPDuC\nqVp40j5mLlnAaO8AyeQ4Sr5McmyCkWg/j/39vzChj2B5TYa6uimXVCSpCntdDH1wDKMhCw6NcCRK\n4zVtnNl6mNa5c7CyFuVcgZJeINJcgyza8TT66Hr0JC7FjVk2sMl2HAsd+G1h9KMqC1tXc2jf69gF\nJ5KtQDGVY6xrAD2vIWgiF3Z2MnZ2iGpPI8OdPWiKijagIowIOOe7ccU8eO0BUsfjJEZHcVgu1t54\nF+3LFzE5Pk50Zi27XtxMzTVN+PNhDh56g6xsYjfdZPacIWnVMnbKRtviTyFJMrlsD6cGT7J0/UJk\nm40tz/2E13/6HMMTPYiCxMrr1rHu4/dy50OfpueFF7G5ZnDz9XdwcP8mstk8fn+Sc2efxGb7GJY1\nhK5Vc/rUs3zyM/8FWXa8K7Emk6M8/pMfo6jL6Bp5BWH2CPPmLMIhuXh138OsnfcgljmIaeqIoo1C\nvofQ27gEvR+YGO9n20v7CYe/iCz7SST28vKLz3DXPb99FcC3wx88cQO0Tl/ANasmeXHLTuz2OZw8\nEcfnf4Wlyy7f7nWe3supkxax2H9GEET6+7ZwcP+rrFq98S3O/JuHJNlYumwRe3Y/gsOxgMrKMpr2\nJLrmR5Yr8XgeopBLYJlb2Xj7UpxOD5WVdReTpz5fmOtuuOM9v/+UjvISZrYv4cTxHSQSJnb71E0W\nDq+ir/ebv9L3G+nuZ6IwjKHp2Fc6kAISymQJMSbQc/IsC254Uyq0dnoz9376i/ScPoNsk5mxeB5a\nWeWRf/gnEvkRJhNjGHaL4U09OHwuGm+cQSI+RrE1j9hjw1ldjyTNQkmeQSyN4ZYs6ma0YOkmAiIN\n7a3MPb2cvS+9jDJZxOP2075uAZ6Yn9yBFMGFUeJnh5g4PoLWoKEKZab5ZjE2NACtAqF5lRR35TDH\ny1hOsPIWRkLHNk9CcAv0HT9LcE4lI2f60GQFm2JHHBBp6GhlsjhOaH4E45hB67Q5NLbP4I2XX0TX\nNLCWYJcdaEWVULSSupkddB4/xmTPYZjvJnBjiJPPnsDTvYnGtjtJpk9gb/Bic0g4PC5GxweYSAxR\nsTaGqZps2vZD7LKDru5TZIxxjMkzfPUfX8Jlu5XhQYP4+FeBOmyyA5/Pg98/nXjcTz6foqLi3YWf\nTh4/gK6vJhyajS3jRvLPZnR4kNr6JrJmgmIhw/wFYY4f+3dEMYzTOcLN6z70K82jXydSyVEE3twR\nhMOLGRp6+dcmQfHrwB8FcWuqwht7DlFb+2fI9iCmqbB399eZ0Tb3spV3fCKOKE1jeKgHXTdwOqsZ\nHT1yRe9jWdaUNvPPXDV+XVi2Yh2h8CFGhvvx++cxZ94X+N53/pmq6ikTYZermvHxQTS1TGvr1Ru5\nXilcLg+mef7iBC4WhwmFrl4pMDk6wf4XDlBIK3grLNwxL/ZOB0qyjCVY6BMqkdrWnwmSX4poYy3R\nxloACpkcj/1//0JX+gSqXEZ3G/hXByjuKCC6JM51HqNyZjUUoGwW8QidKIUkhlbGmRfwayZDR3pQ\nBsusWrIByWbjhnvvpGlmG9/98v9LMZTjTOdRvOcCoAr0vt5J0ZdHG1Kx9zqYe8tyPvLf/i++8Tdf\nQqqSMAwde4cTbVxFO6CAU8DR4SA8LUZldQ1nxo+gTpYRWgV0SUfJ5rANyozs6Cc2u47cUJrZ7UtZ\nsvYGXnjqB7jn+/BXVXDszG4aAzMZOHieQl0WI23gcs4nMN9J6S6ZyqoI0SVxOn/6jySTJ0lPHMXf\npF60ekv0D+Nc6MEdmaooSY5NsO2JJ2i5vwOHK0KhkGf0aJoFgXnMnX8jJ088RiG/jdq6ebROX4am\nZRGENC7Xlf3Wmq4jig5sNjd2K0w5O0HeluHY/qNonTZeHzzPoiX13PfR29DUMuGKmvfVlOOX4fEG\nMa0TmKaGKMrk872Ew8HfGdKGPxLiVpQipZLFyHA3hUIRt9tFOOymVMxdRtwer4PzZ19Etn0MQfRS\nKLxITZ35NmeeqpOOxwcol4scOniA5GQRl0villtv/7WZOgiCQNvMJT8LW0zhakyEf12Y1jKf6TNO\nc6H7ewhCALujhxtuvHJhIpiKZ//07zajazfgcFbSc2Ibiq1A3dxWBnu7MHM6MXc91XIjTR3vfP1O\n7NpHKVZEzErYYjLGmE75fAmpTqJ8tIjWoDIhjVDqVhAydhS3ha88ycw1s2nsmMHRXbtQRsoEqoP0\nxE9zYsde5l23EpfPi+xxYAynMN0Gg+cu4Aq5cUx3oRwso/pUVL/C0VO7WXr6RppbZ9J14ATSdBuq\noiAIIhU3VFEYyOCa6SWvZfHkAhgpjVwihXOZm8JgDjki4/EFcLrdJI/Huev+T7H01hv597/4nwxL\nfbjybjjeQ3N9O4VElns/9UWGunroRSFnA47tBMAyLcx4CaElgdB+iEC8BP0W4weHEXRwqV6sksVk\n1zi6qqL1arhVL56oD3JpLNNEDLjQtCyRyBwWLLoVTR3HMA6TzU6ANcjam1dfsZxve/scTp3YTD7n\npS5wO2dP/k8m7RO4hUXMqv4CFaElnDrxLWbP0d+1LFfTVI4c3s7Q4DDhcJBly9deLBCYTAxTLGYJ\nhaoulrhaloWiFBEQ3rNOdm1dGwsXnePokX9HFCtwOEa4ef096LqGJNl+Jwj8j4K4ZbuLsbFTlEsr\n8fvXUCgco5Dfhdtz92VjnU4XLleJcvkJsslhLAY5fNDFTetGLtsmjo328PSTT6Fp0+ju2o3HU83c\nef+dUmmU555+hAc/8el3lLv8VbBq9bVs2fQ4tsJSdH2SSGT4N2oiDFNhm1s2PsDoaDeaWiYSXfuO\n38+yLEr5Anan42JCcvh8L6X8bAKVdRQyg7g883CaAzS3hwiqFRiWQfOMNih7eOofthCMeLj+/lVU\n1F6eHE4n4iTG40iGi0I8h2lZKD0lpLwN3dQQ0xJKUcFW9ODxNhDMdqCVJ0l5Ewwdv8BAdxd2t5OA\nEiIUjrD7xa1E6mo5d+gYFUsitLbMIjma4OjgYYa7hjBPlsEHwloRLIFsKs03//eXwICyWcAYMLBZ\nduy6HccKJ3bdDj1QpoDuUakUqul3nUcdVTASOnLWTrE7R/O1bYyaA2x5+hGe/NY3yZNBarVRURVD\nL2r0njhD08w2qqY1UDWtATM/gTOdQ3yjh/SJo4xXlpnsH2PuB5dTM23KMHjkhX5Wz9lIoDLM/KZV\nfPvL/xuzwUAQBYQJiXBLlMkzE1i1MpLNgTk+gq3ai6blKOR3TQmbNcwgm03gdC27KnOS2roZ3Hm3\nxqGDu7BMixtu/BJbN2+hqvp/IMtTK2tRqrzoi/lO8+fVV57izGk7Xu/1DA31MTz8MB++9zMcObKD\nvXs6EcVqJHETG+/4ALW103ntlafp7OwDy2LO3Fauu+HqTT8EQWD1dbfRMXsYRSnicLh4/bWtjAzH\ncbpsrN+wkcamd2+k+03ij4K4S8UMVbG5JCdPUiy+gcNhp7JyDqpavmRcMjnKvjdeQSlHUdVBQuG7\nsdvno6qbee7px/jox794iSjOyy9txma7G6+3DlGsplg8TyZzmmBwDoVCHen0+G+MuNtmLsHj9TPQ\nfwGXy0X7rE/+VhKokiRd0U6ilM7y+LefYDw+hGRJ3HDbncxasRhBFCik++kf2YpZaWBki/i1In/y\n0D9fvMFe+NdnuHCmgVBsGfHBYZ766hYe+NI9uP1vbqcNw6D3yCiTZx0E5l6HNr6fYlc/oi5gYWK5\nBPSiieByYlWYlM/GEWscJEtnUS5o5DIpzGst9KJKoZRHzahMHB7B8OtMdo9jOg0qZ9fQc6gPpWRg\neQQwABdYJRNLAzEokiokoEnA1VaFTRUx9qdY3HE9ilEkvCZKuiuBY8LN7Z96iFIuz48e/hrjp4dQ\n8kX0eg3scGLnfuxtDqgBq9JCHJcwkjqJ18ZwBt1YZ0xW/fmlD2XRbqd9wRfJVXyH6XaJQn2WqqYG\nTMNk/PgQ471DZCYnmTa3HQRoXTObkq+IZLPROHs6hZ05amnm5LYjiL0Rbl1xH6PDL1EomKy6dgGz\n51yDrqvs2bWNrq4hRNFkxTXLWLxk7RWtOBubOi4ht7NnzzA6coSKimsoFYeQpF4qK99eqAxAVUqc\nOzNANPoXiKKE19vMxMQA588dYO+eM1RWfh5JclIqjbJ188MsXriQUydFYrG/ACyOH3uCysrdzFuw\n5l0/7y9DEISLfpc/feybjI3NJRJZQbk8zgvP/oiPfjz6vpop/FEQt93hxuGE9o6HEEUZ0zRIpb5+\nSfdjoZDhyccfoVi8EdPaRDbjQhDqgQs0T7uGfH4L+VzykrLAbDZHIFCHIMhIkoWqhNG0HIahYJnj\nVxwTfC8wTZNyKY/dLhMMhnE4fvv2Se+EY09uQnRNEN1Qg5pXeHnTT4nU1tDYMYNU4WuoDSHsoUrM\nSBZZ1Rk4fZ7mue1oikrPsQTRhk8gCAJ2p5+JwU7igyM0dry5rS6kMqjFaiK2KBc2fR/TUpAUF7XX\n1zBeGMGqNhEcItZe0BMaVgv06c9guDJoDgc0mTBiYcQMDL9B6VSK2mnTiFxbjW9+kGPf3E3flnOk\nTkwg+G1IY3b0mhKUAQVwAyMC5A2kthCWaOCJNpCNlXA6PdQHp9G/q4uGhhnc9rcfxxv0o6kqCw+v\n4rXhZ6lYVEVqKI4VAdNmYqu0USzmqGitonSmgG91ADlpJ6RFWf6RG6msu3zHYbN78K1YwgcWzILv\nQtfe4yQGx4mnRnBX+3jsie/zyN8/jNMrItVqzLt5JW6fB62kors07vz8p+g6fRLxhbncuqLlsvPv\n3fMSXeeDRGMPYBhldu/4MZHISZqa5171fLhl44fZ9uJTDPZvxx/wcsutd7x7B68gACaWZQDSVL25\npVEuFxDFGiRpSjnQ5aoml4OBwQG8njUX7c/c7vmMjpxg3hV6axcLWUZHuxFFidq6Nux2J7quMTKS\nIBJZMeUG76oin59GMjnyH8T9m4bb7WP1dcvZ/tr3EIRmLKufVdcuuKQuc2z0AqVSK1VVN+B0xti/\n759RlAPM6riGUDhEJp3B8Utt7k3NDXR37SISWUtDQwVnznyPcmkJicQhVlwz6y0z8FeTmbYsi5Hh\nLsrlPBWVdRfj8ZZl8fqrT3PiWBFJakE3DrF0+eAlQv/vJyzLYuxcF9Xz/KS64/gbw1ApkBydINJQ\nQ31HNUprGd1MEIxVoQ6WKRdKAIg2Cclmoat5ZIdv6mY1MsiOZrKJJH2nzlHI5PCFgySGO+mfOIZt\npRcpFCJ79DzjpwdxrgtgJDS0Qg7LaSB4bZgOC7HSi1APRl8ZYZqFec7ElpRRzTJCWqT+1inycvpc\nNC2ZyczoAtL7igwnxrFcOmgC2Cw4BIhgN+2YPifqoTyWX6cYGIcxiXFxCKWhiGepl7HBAY68vpPV\nd25Ettu583Of4sLpTrRqlUKihOWUKQ+nEJokDDSU8RKOoJf0ayXsRYn6hdVce9dUzbRaVjjy6k4O\n9HSSnajEsP9cQlhk/YP3Et4a5bmj3yM0K8Jw3xi6WwC/iaNlEZmBoxz+yXZmrJyHOWpy/bo7kCQJ\nyekA8a1DCQP9QwQC9yAIIjabG5s8l9HR4bcl7kR8iHw+RTAUuzx35Alw592fuKr573C4WLBwFocO\nPobLOZ+y0kt9vUFL6wL27vkR5fIETmeUVOo44bCLSDTK4GAvPv90LMuiXO4leIVlhun0BE8+/iPy\n+WZAIxrdxV33PITD4cbpslEuj+NyVWGaOqY5gdP5/nZr/l4Tt65PPX1dLt+7xrHmL1hDTU0TmcwE\nfn8HqVSCH/3g6wAsXLwAt9uDZU2RRzDYQXv7Rnp7n0MQXKSSvVx/w4rLkjPXr70dTXuS/r6/xe4Q\n+ewXPkI4HMPjDV6mhJbNTrJt69OMjIwRrgixbsPt76iWZlkWr778JCdPpJGkKILwGrfdsYHGpg4y\n6QlOnhgmGvsiomjDMJZy+OA/sXDh6vels/OXocdHmbhwgTQmdocD77EAYV8MT3Dq+rXNncfZxFFq\nF9agpEvocYVow9RDTpIkZiyP8NzXvoSht+OryHDN3V5UReXf//pv6B0+S0kqYqZ1jLhJ2a3giTVi\n2Yp453kpvpLF6NRRQhpmykTK2RH9Jja3hM3jRZB9qGKW8slxBEHANkvGpshIAxLlyamYaylVJHFi\nlFONGuFlXi48cRgjVIZaCzzAiIA8JOOLhMjkkpgFFcttUu6eIJCuwr5Cpmp5HYIgYDQaHHlxJ3a7\nkxP79lLM5gj7IxzfcRgcfkSPjDSmUDxQgpLGRHYEyyljz4YRXCFOHj7NVz//X/n0//2XHHj5Vfry\nZ8lVSeS6z9M1bGKtnyIQ2W5n3pqVbHv+CcaUAYSYCyORxnLqSG4X/jn1hAsyLcIs5nxoOY2zLw13\nqWqZc2cPUCqWqKlroq6ujVA4QF/vAKqWZjJzgFzmKJL01nIJhw68yu5dp4AqLGsTt2y8mbaZiy4b\nd6WkbZomoiiyavWtVFTuY3TkPKFQkDnzPobd7uQDt6/jxc3fJZuVCIXt3Hr7vThdXoaHH2Z8bAiw\nqKlVWbDwwSt6v317XqNUvpZYbKqZbHx8C6dO7mXxkhtZv2EjLzz7I3L5FixjnPkLYu+7neDvLXH3\n9Z5i6+bNaKodr9/itts/dDEm9XaIxhqJxhrp7T3J1s0H8PvvRBBEXtr6HOs2zKOqOsXIyHPItipk\n+yD3PXAzNbW1BALziUQbLjuf2+3jjrseetdss2maPP/sT0inllNRsZB8rptnnnycjz30+bcVqxoZ\n7uLUyTTR6CcRRYlSaZSXtv6QT39uFpquIooeRHHq5xNFGXCiacpbnuu3iVwuSeq5f8RdUUbpKeJp\n8VNMFpgVXUztjKnJfv0H78D6qUX31pO43F5uvffjF5OPiaExzryRY8bSu9HVIoX0GVxeJ6/89AnG\nioM4r3FTTOSxPBbiERExa2GVJvBEA2QmVUSHhN6lI3gs5AobggIev4eSWkAcs6OOFvBHWhCGikSv\niVC/qJVQLEJ+JMvgsxfoGjlJfixDWSzhC4eoWdCIb5efpE9BqnNiSSamoWIfcBBoCaNnNPzzQxSG\nS3jrwkSyIVxe98W5IEoiE73D/LjzH5gsjGOJ4DLcWAkn4cBCxpN7kFp96JMZpIKFXO9CCzkpH5lA\naUkgRu1cKMV5+CtfQfbZqbm1EV0rIne4yfR2Ik++OS89AR92w44Vt7AcJawRA0lwUDbjBLw2Qv5K\nlqy7gappl85lU1d4+snvMTJcg80WwzC2sf6WNNeuXkfX+b/j5PghhHoBT5XJkS6VmTOXXSIwlU6N\ns2f3CbCW0d+/E00z+MbXv8pff+lrhK+y4zifT0+FVAaG8fm9rN9wKx2zV9Ix+9Jxzc1z+MznZ6Gq\npUvUMD/4oU8TnxhAEAQi0YYrNlrI5Qq4nG8mYGW5inxuyhS6samDj348yuTkMC7XXKqqp73vlSW/\nl8Sdz6XY9PxWPO6HCAZjZDNneeG5J/jYQ//pijLI3efP4XSsxu2eqgfWtOvpuXCQO+9+iLNnDlDI\nx6mrX01D45Vljm22t9eEACgWMiQTBpGfqa75AzOJxw+QSo5dFKr/ZZTLeUQxejFe53RWEZ9QME2T\nYDBGMFQkkdiLz9dGNnuCWJUN7/vckmsYOt/50Z+h+Xuw2lxURqtQjirUtjQzc8mCi5Pd4Xax4cH7\n3nLbPN43iGXOJdY45Weoq8vpOfavKI7slBKhXQAXiE4Je60TsSxSOlZAq1SQDBuhmRG8i/2MPjdA\nZEkNwiIIFqKc2XSYsjWOpYqkU0eJ1EQwFYvK2mocLieD/d2ILhFFLjOuDyE0iAh5gdTzE0g+N0JZ\nwiZ7wbIwMTFNFVfMi1cq4WsKooRK+PQQgdEwfinM2JFBEukxRt7oI38hg7RYQr7WgSzaKb9WxFXj\nQsq7iM5dhhT0kHTuxt0mkX4jgamJWCEDqcOFoJk46u2Mnu2nijqwwChplPZ0Uh6eRPpJgrMhPzOX\nTV3fedeuRDldJpNNM1mSUPQC2lgvId90prfNJdp0+eKmGO9mbLSC6uo7AVDKM9i5/bt89gvLiE7z\nwrJGPJUhPN4g8XMDdHUfYtGi9W8eX8yiKjJDQ/ux2T6JyxUkm32YFzf/lPs++qdXPH8sy2Lr5scZ\nG+kgEvkExcIgzzz1OA8+9Km3jIdLknRZ/bfNJr/tPfVOaJ7WxM7tu3E678Y0VRTlIPUNSy/+/3fB\n2f0X8XtJ3OnMBKZZh9M1ZVLgD8wkPrGZcjn/rjrTAA6HHU3PXXytaVkcTjsOh4t5868+A/1usDtc\nCGIZTcshyz4MQ8UyJ9+xzrSisg5BeI1SaRSnM0YisYv6xpqpuKQkcefdD7Dz9S1MTOxnxowoq6+7\n/6rLnn7d2LPvKc5MvIG4yosq5EiNGLgDPqxRi+ppTZeNzyXTjPUMIMkyDbNake12HG4Xljl6kdRL\nhQlKxQmUYoHSeBGxT0QXNYyMgTQm07pyNoWDOZRSkcYPtJFSE+TENN5aP1pegZzARP8QYkzAv8BP\nbjKNmJSoXFpD5vQkJx/fT/W0RuL7R5n/mWs49fx+nKs9pLomEA2R1EQcc1JCLgVwnAthyQbF3lFM\ny+TM64dBh7JUQvbJuDQPtQ3TWP+xj/Dt//F/iJ8bRggJmD4DNaxg5HVsYRtGyMCnuBHVHkqCgi3g\nJRoJMTTUg5opYallLMXALJSwu2U8IT96UWXa/A5G9/Yz0NuLqozjnhtBjxZ59Nv/yoe0z+OrCDJ3\n5UoG+3sI1xepaSxh9losv+lGalubaVk4+y3b1S1TZyrbOgWb7CVf0LAsC1EU8QUq8fim7itBEjBN\n45Ljg8EYut5FNjsbw1AxjW5s8tT3+XnI40qgaQojw0kikVUIgoDH20gx3kwiMXRFUsQXv8976HBc\nsGgNxeJmjh/7CqIocP0NK5nW8rurOvh7SdxeTxDLGkXXC9hsHkqlMWS79o4Gtr+IefNXsH/fl9m/\n7wVAoKq6xKLFf/Eb+7x2u5PrbljFqy9/F0GYjmUOsnhpK6HQ228jg8Eot915Cy9t+SHxCYX6xhrW\nbfjgxf/7fGE+cNsDb3v8+4HO3t0Ea2NMWkncFTbK/Wls58qs/dxd1LQ2XjJ2on+Yp77zLdRgGUux\nqN7eyJ2f+xRNc9pomnOWvpOPIUph4iNPYtUN42zyYFNl0q8kUMqlqYqRZpMLWzuZN2s9eWMEZ8BN\nU7iNYy/twegzcSRtOA03pXKB0DVRbCEZNaxgThrkRlLMv+8a0tsSrJh1M6muOMcP7mXkQi+G14Cy\nhZZRkS0Zh8ONr1SJGA+R14YRSyauaR7KZgnVUIi/PEJVpB6jwWBIvMDOZ15AcFg4Im5MbxFTs7B6\nTJTJMopVRugRiGujtE6vQE1O4qwXKaU1tE4FW72MIRkYIyAcMnC3BSiczbJk5nXc/Z8+w8ld+zm7\n6yuYXlDyMqYQpHtoiG/92cO0zL8DSR7gxgfvQFM0REmkaU4bssPOkVd3sel7P6QyWsXim6672FUJ\n4Aw34hh9mXR6Gk5nlHRqBwsWzppawbfdyEvHvonZZmCoGrZhmWnrLzVQcHv8LFjUwfFjO5HlGTgc\nLuyOStLp8atS1bPZ7MgyqMokDmclpmlgmgmczivrBk7Eh3hp67MkEkliVRHWb7jriu3+JMl2UZlQ\nEIT3PRTybvi9JO5gKMaa6xaxY/s3EIQqJHGYjbdvvOJ4VjoTx6KKaHQ5CCAK+8hmJ69Ih+G9Ys7c\nVcRi9aSSo3h9rdTUTn/XydHYOItPf64d0zTf99X0O6FUyhOfGEDlbnjNAAAgAElEQVQtlgmGYxg7\nulGiJs6ik3XrPszsa5exb8sr6KrG9PlziDXVsWvTZoQ24WL7+vDeProOnaBj1RJu+9M7GOjsopQr\n8r2/v4BSVSJvy1JyFCnZCwhVArJgB8WGa9Ycxsb8hPxzGXluE+HGEK4+L565fibSw0wOjWPFLeRB\nmYpIFVbBwlAMPF4fxdEcjTOnc3TfLi4cPYVao6D7NDgLhMFIGQgTIpHrQ5RezzKnfS7JSRvDRYOC\nPYs4U8QhubCFbagFhbq7Wskmsuw5ug1rUCc5MYE+W8EIaDAEyIA+9bdoz3Fm5AjV9fWYYzqpE3Eq\nr63G2eSmnC5QIIe710uLMJtZaxdxy6fvR7bbqZ/RilooYvo0tGARM9ODMRLCXgxTWXc3xewou554\nlE9+5SEEYUrGd8v3H+F84jieBh+9PWcZ+U4/d33hU0g/09SWXUE++KF72bXjFQr5IstWNLN0+ZSX\nZPvMFWiqwtbXvk8hW2LmtBXYbJe7sFdXT6exOUGxcAxRrALhAtHoWwu5vR1EUeTm9evZ/MIPINuG\naY4yb37kivTvVbXMs08/jq5/gEikjWTyJM8+/SgPPPgn7xrK/OXP8PuA30viBpi/cA1N09op5NME\ngrdcVaPLmc5T+LwbCAanvPky6QrOnj5Bc/OcdznyraHrGp2n9zKZSBKNRZnZvuwtifbnydGrgSAI\nv9OknUqO8dRLX6HgzjCm9DKw6xQscyBh4Rp20TJ3Dk/829cpVRYQZYkj397BXQ9+hmw6ieZSKSYL\nuEJubF6JUmGqqkOy2Wie287ohQFyhTTBpkowLYa7e9CbNeSoHcUsUT6hYiuUiQ93YhWqcPpquen2\nW3jppccZsi6QURJYs8DYpVM+BoImIiJiH3QQWFJBIF1BySxyuusQeqOOXtCgH7CAFBCwMJp0tLyK\napU5Gz9IxF9D+kgSvVJBsERQLAzdjlzj4Oz+QWxyM6ohoY2chwAoKQUhIGCFLQiAFJSxCibCoIg9\nZkcLaURjdWT6khTzRdJn4piCiZW2aGuZx5/9y1cBSA6PIzsdnNy7D/ecEJP7ygiVDsiXERNByngx\nDAO3v4b4gIah69hkmUImR/eFU8RurkMQBbw1AUZe62Oif4RzR4/Rs2c7Ul8jau0XuOuDD132+1qW\nRdfZLlzWg1TVLSSdvMAzT/2Y+z76+Usc2IOhCLFoJR7vWixLo1gM09IyetXzqXX6Ah54MEZychiX\nezq1tTOuaPWbSU9QLIaIRKaMuEPBecQTu8nnku/ZZPt3Gb+3xA1T4YS3k2d9J9htNgy9dPG1YZSR\n5PdGjqZp8tKWxzh3zonDMZ2jRzoZHR1m7Y0f/J3fbl0NFKXE8aO7SCbTVNdUMXvONUiSxI59j6I0\nFok2NJANJ3BJXlQqaVwVo1rws3fbS+hNGrF5UyvrrDfJlh88wpEdO0mKE9gDTmrrm4gG6qm5+dKV\nla6pVNRWkTuaxgpZ6HENYZaIWC2BCEq3QupwH9WBv0dVqhno+gn/9pf7UYIlMq4ENILlMDFlE2QL\n7YJK24z53PN3n+P8sROcPXWEs/uOUJpZxGwxsXll9JM/I++UADELy7SIvzJC4NoKHFVO3H4/5iEd\nmgWEZgExL2LsMFDRUHwuCoXzqGMFtFEvhjGGKZgQtxACIpbXwhjXQAEraaLmy9hvc1CM5/B5gmR7\nU5gzTQRTxKbZKLoLvPH8S/Sc76QgZlHSJayUib3WhVgXQsrXYcqVYGk4vVEs0yIZP0psmv8SzfOp\nxhULAeHi64Mvv0Z35hTiEgeGnOOZ7f/A/bd86TLd+WIxy/BwnkhkqmPS4QgTj58mOTlySUlcQ2MH\ny1cOcPDA0wiCl1iVwfVr739Pc62iouaqd78OpwfLSk3dy5ITXS+Albus9+IPBb/XxP1eMW/BMs6e\n/QkTcQXBEpBsb7Bg4b3v6Vyp1BhdXVmqqh5AEERMcw6nTnyN5Ssyv7F29982DEPnhWd/xOBgDS7n\nbDpPHycRf4a1N32QVG4MT8vU95REG7aQHdEZIFhfBQNF8skMZW8RecxOKFaJoZkc27kL20KZilgV\nufEUg+e6WX7busvi4BU1VdTXTyMpTpBLZLAKIHZKGOcNDE2HYRO5sAzdLTGW/zRaRx/jNpAmRNQK\nBQYFmLCmQhSLBCRdwlYrc2zHHo6e3o3iLlEOlyj3FMHHVEdkAUgAHgviwChToY1SluK5PGPqAEZQ\nR7Y7EIZAkEQELMxBi3huN4gCpNyYsguH6UBKuzBCRax+E1TAD4xMtbarLpXJneM4K9w0z+5ATSqU\nKWIPOJBvdmD1m+zbto3AtRXYvHZ69o+SPZ9HOVFArNaR7CmM0TK1je3IttOMdH+ZQKXJ6ntuu3gN\nPQEfM9sWcPC57dgrZQRdoqVyFkf27MKab6IkRJyB2eRLYzz95DcJVzTRPqudtplLpgx5bXYEVExT\nQZKcP4s75y8LlwiCwMpVtzB3/kp0TcHnr7ji0OWvA35/BStWzuWN3d9BEBuxrKnei9+m6mB/fyfH\njhwGYOGixcDsdz7gV8AfJXFXVNZy7/0PcP7sMSxgRtv97ym+XShkOH/uAJnMIMFgFocjiCBICILt\nssz77zMS8UGGhkVisSl3bZ+/jVMnv8o11xZoqOrgZO/rRDuaqPDXMtBzCqtRI3tmguyBFIJNZOz4\nAGOpASKRWhyjTuSAHWezG0fMSai5kpSVQJQv3Z0UMjky8SRr77iHrT98hOJoAafdRSlZAC9TsWKH\nAOoJFFsa2iaRW904AhbWQQvhVAnLY0EIaALhnIB7lR9NVDl7+ChDmQvoUR1VUaY0SPYD04BxwARE\noBJosqAbyqkSjpgLQRehS0CTlamWbB1EBOSwA0syEKuc6HIeYaSAGKrA1ViFUpjE8OYRK6bip2aD\nCd1TDxS9U6V2ZjNDF7rJ5CZxLHTjmx2icDKHWJIwbAZaSeHc9m6ckSV4W4uEkksY6H0Wr+CiVFPN\njevn4vDYOL0ri1qu5Zmvvc7t/3kNdTOmYZomqlJGU8rkhlK4i14KYo54dgSbaqNYKFMeLaN3q1jG\n3RjGEnp7XsYwdDpmr8ThdLN0xQL27v4hotSOYfQxe3YFFZW1bzlXvN4ghmGgKEWcTg+iKNLf38m5\nztPY7DbmL1h+VYJVV4Oly2+iobGFXG6SQGDOVYclfxUMDpzh2Se34XRuwMLiqZ6trF0j09b261EI\n/WX8URI3QDhczfKV730CZTMJnnjsYbLZGUxORpgY/xtmdXwCTRuiqdmP13vl5Uu/65jaZku/EPoR\nsH7mX7lq+T0UX8/Q8+oxyqUi17d+lE3mJA3eAJO+Q9Te1UTNRCNDR3vIHkiyYN4qeg6fIbs3SWB5\nJRYW2ohC9cY3b7K+U+fY/OiP0F0afYfOgx2KegE9qk8R9vSpMAY5KO8+j1GMY5o6Vm8JodoDsoVc\n6YB60EUVE5P/n733Do/zPM98f1+ZXjEFg94JAgQJdlKiCqlCSbRE9S65O07sdRIn19lNziY5a5+9\nkt3rJNm94iROvBsnjptsNUs2JVIUJVKk2DuJQhC9A4PpfeZr54+RKctqpEhq7cT3X8C098PMi3ue\n93nu57llTUbIlB3cRw/2oawolSPrn0v1e4EzQDvgp3xfNZiDFtSMCn2gTJUQkRBDEvoJFeoNpKyE\nvNpCcTCH5BFALiFUqFAQKcSjyF12jLSCJMtIJoliNo9lkR3mDcwOM4pdYToxQs6TxVAEYjvCKAeL\nVLiC3PrkA+x/eQc9+4+S0UqYzh7BoTUQaF+FNa+womMtfU3biaeHGXg5Tcfqv8BsdZNLzbDjf/2Q\nz/9lM2NnBxgO99LxaFnnHRma49izu1nywGrOHziD4YXCuVF8sc3Ur7gfSTIjSVZOnXiRrqUbAFh/\nzW1UVfUQjc7jdnfQ0rryfdOAE+P9vPzSTykWJLxemWXLu3hjdz9Wy02oep6B/u/z2BOfump556rq\nlv8jXY29Z89gttyK29MBgKErvPHGqatG3L8eJdRfQZw4/ib53LVUV9/NmjW/h9u9nnT6n1m1RmPL\nnY9dUnVa13Xm58eYnjpPsZC7ilf90RAI1hMK5QmHd5JODxGef56OznqsVgcWi42td/wu1y65F5PT\nwqxrhGL0FKVUFrPbjGiScNdV0HxdB2bJwvBcL60PL0GNqUx/f5jwj6axZu0kFiJlI4pSie0/+iH2\n9U5MHRYiVWHmYilSSROKCBQFhHoZwSIi2kVMjRZsbhAmc4gmyM2kyZ3KIGZEnH43ssOMaBZRowqZ\n7WkyE0mUihIkKactqiiHL9WUI2w3SBUm5HYTRKA0paDrRnlyn66jGxosBjwgt5sQmyUsAStaSsVw\nglBvIJjByCoYaRX1fAptpoi+oKKjYagGhW1Z9HEdh9eDIUIyG8d2nZ36R1uo3FJDY+Nivv79f6G+\ntQ3bIgf+pVXIHlBcKWTFgWR2YAhTTI++RDpylAXvDDHnBEP9/4ph6Nhc1WQTCrqmUchkEVxvy9us\nfgeKolDRGmTZHetxeJuxZGqo8W1Bkszouko0eoz5+UGmpgaAchqkqXkZq9fcyqL2Ne9bLM9kEvzs\nxW2YTZ+msvI/ks/fztNP/RCH4y68Fd0E/OspldZzfuDUVd+zP0exmCeVjKBp6lVdR5REdP3tNXRd\nQZavHr3+u424LxfZbB6TudypaDKZaWxaSUOjwI0bP9hE9ZehaRqvvPwU589nEUUnTuc27n/oyY9U\ndP3gdVSGBk+Qz2epDNVTU9N20c+VZRP33P8pjh3ZTSx2gJraalau2niBDDKZBAcHXsS9xs/Z3sMU\nTMO89i+nCbp8FN0FrG4H53afJFtK4VQ81Kab8a0NoSSK1LqbaN2ylL7dx1kxcR02l4OSUMRb4Sfc\nP4MmmUEXKcYjYNIgaWCcV8ALRgqEhAEqWCqsUBQwHAZ6k4YwKhJ7YwEcBoIk4lpSgTquEM3MlXd9\njHLO2UU5r60AcRBrJIyojlapwRygGIiiFUm1oDjSGJMa4jkJQRZhREDyywjTZSWMKWgq316to55X\n8XWtJz/ajxbMoIgKSk+pnG9Pg2IqkTmWosIcRHSJSHYZQzcwOS1YAzaOvPwaPceOEknN0nH/ahrb\nFzF4eJji/CjJib9GTaqMF85jdNvw1jdgbUkS7zlDIbtALjVBzSIvkiwTrK+B7QLFVB6z00pmKEFz\nUyfzh6ew1zkRiuCrvRmfPEl4fjfT0/uJxws0Nm3imR/t4pbNYbqX33BR+ySZCKNptdhs5ZOsx7OE\nQsFA1X4xbfjxFez7+w6za+duDMOBy6Vy932PfGhKdGpqgJ7Tp0CA5SvWXHQX5vKVazl/7lmiEQUD\nA0HYyy23fLS62cXgN8T9EdHa1sbAuX1YrWWCzeX20dK64kOe9W4MDx3nXL9IVfUXEQSRWOw4b+ze\nzj33XdxwnItBLDrDN/7nf2FmJojN1kRN7VG23nMjSy7BONhmc3LD+3wpFfIZBAsMDfcSycQRGxsQ\nUwvEhRTZHx3F4rBRuaUOnzlIwZFj/swkhk3H4rGSKabpP34cfV5j4twQhqGTnU0TG13A6rChT+oU\nYvMIa0ygm2BYLeej6wBBoDCbpxgqYK6z4ix6qAo2EBamSUVj0GQg1AkIs5DNpjDcOvqcDmagnrK2\n+hjQCGJWQvRLSFMSqqgg9opglTGmDWS7FeuN1aizQxijGsasgWSSMHIgzIh4bZU4atwUhQLKQgkK\nLiSTiq91KXmnl3D4NQSPgBQyIVpFtHMq9lYnFYNBvvTnX+fvv/6nJPtj6IaGreQkNrrA6eB+TMut\nJPfH6H3uMF33rccWhYpGJ3NzOUwVvw2Rp8jHE8yOzLFodS29J3qITv8D9UuC3PFbW4Cy1dsn7n+C\n13/yPMlSnEWLu9n0/91N3+EThGemGGlqosL8GI8t9bP3jZ8wO1tk9Zqv4vEEUJQ0e/f8DV1LN1yU\nJNXh8GDoc6hqDlm2UyiEqQy5KOS3kxQ0NDWHLB+isekhEokwDrsHk9ly0XvwUhCLzbJzx3683i9j\nNntIJnp56WfP8MlP/977pnmmpgZ47scvYbbchmHonD//Ag8/ct9FpV5CoSYeefxh+npPIiDQufQR\nGhuvXo79N8T9EbG4Yw3FQo6jR/4FgFtuXcPijjUX7i8UsmTScRxO7wdWtlOpJLLciCCUj1UORzOx\n6L4rdp2KUuL73/0Gc3Od+Hx/QKkUITx/mtd37aJzyfrLliz29x3m9dd2MTB+jmTVPGKdGyOSQstn\nsKz3YXUUUOcV3CEvFZWV9J8+TkkpIsQE0pEEnk06paJMfjzL9//2r2m6vQNqYPCpM1R3NOKYtFJw\niph8VkTVjNZmoCcVLI4aNC2J2pyBWtBdOik5jnpSQdREhFoRk8uMJqvQJKDtUxEtEoJJwFj9lmLE\nCWggRkVkq0z1/U0kt0XJq3nkOyTyAzlICZSmkpS2xyEHwlIRQ9NRozpCTMDjraJx5SLCuSkyQpqc\nMkdpNIotFyJxoB+T34E6oCD4QatS0VUBUZWwm134qivpum4NX/6z/8q3/+LPSWpxsEIxWqC+uZVg\nfTXdzmvoffoYZ75xAHOrBccKN5mDMUozu3CrK8hP7ma+FMZVsHPXYw9wy2MPYLFZ3/G5tq/uZtGq\nZe9o5Fp3+00A9J3vh+csuD0BlnVfy/CQF89bA6Rk2YGmCeiaelHE7a0IccPGlezb+48IQg2iOMlj\nT3wRw9Dp6z2B2WwiEFzJc8/8GFV1YrXmuOue+y7p9HexSCbCCEITZnO5Vd/j7SI8/wKqUnrfL4vT\nJ09gttyO11tWg8SiKj09Jy86Zx6sbGDjewyjuxr4DXF/RAiCwPKVG9/TXWN8vI+XfroNVfUhSTHu\n+MTttLa999yDYLAaVduPqq5CkmwkE0fpWnp5HZyGYTAx3kssFkYQdFJJGYulCVGUsFpDZLMV5LI5\ndF27LMnWzPQgO14+QkXFl1nR9iR7Dt9HYXABgibMK4NoqRTp0Sy6oHF6x0Har++m2tfI/LFJOhev\n5mzmCNKYiNVtx97iJCFFcbdVEFpRh83nYFXNDdx535P89z/+PcxOK/YKG4nTGqmCikk3ocQUqBAw\nBSzY3TYyo2n0iE5lYx3TuRG0oIAxAxR1iIFYI4JfRDUpMA3CNSLkAKuI0WNQmM2hZErIQRF1REEO\nypTkQll1UgRCYJh0RLOEsdlAXJCInJqheD6Pe3UF2XMpTCYzRknHv3kNicM9KIM6NtkGtZC3ZRF8\nAkZYI3coww1fLbva+KorqVvTRve6ALJV5uC3XmXg+EncgQoqQkFaFi9BiRdpeGgRyUgMeSqMFpvA\nJX2abKFEVfoQN62/l6XXr3uHfvsXcTGNXMHKRmy2HSQSZ7Hb6ognDtK6qO6SouJVa26iqaWDbCaB\nt2LzhZn3La3LyWVT/Mu3v4Xd/jms1kqy2Qm2vfgjPvuF33+Hs9SVgNPlQ9f3XIj+M5lRXG4L8ges\n85bK/R23iR9jaudS8BvivgIolQoMnj9GIV8gWFnDSz/dhtX6KWy2aoqFCNtf+jaf+62W9zRbbWjs\nYuPGefbv/5/ohkxTc4DrN16aAe8v4/DBVzi4fxJRXEypdI5EchxBcFAo9CHLIfKF12hvb75sne3s\n7DiiuBKLxYfF4mPDim9z+ux/JhwfQzkzBykNU1sFUpWM3p9k/MXzSCWJ1s1LiVvCGGisePQGzA4L\nZ545TH4iS+9PjuHwuvBU+hBNIktvXMemm+/myLFdGEEN/ayOqd6E0CpiWAzo1xEXCRTFAkyDr6KS\nh7/4O/ztH/8JRS2P2WdBn9JRckW0eh1jVIezIIgCFmwo2SKSIKPpKvPPTWFym5FKEsVoAcEhQBUI\nbQLGLgNSgAWMWh3JKWOEDYxmATWlkrGkSNvjmINWpHmRRHI/eX8ca7UNNamgqAregJ98LIcRNwgF\n6jEkWJiYoVQoYHKZsHrtDL/aR2Y+RS6c4VBmF5XOGqxRG7FMBPeCj4pQAHftDPHDQxTyryHXTvDF\n//ZVQs0fPNt9bmSSTCJJRSj4nm46UB5T/MBDj7Fn9w4SiV0sXVbHDTc++J6P/SD4fNXvkvzNzgyz\nd892xkanaGmNYLVW4nA0sLBgI5dNXvHJe8FgPTds7ObNvd9EEPxYLBHuvveBDzxhLl+5msHBbcRj\nGgY6uvE6Xd2X/vd/HPgNcV8mlNLPZxlXI0lB8oVnUUoibW3ljWuxBkilA2Qz8fckbkEQWL3uFrpX\nXI+qKe+YLfxRkMulOXzoDMHK30eSrGQy3YyOHkLgGLoxiCBorF3bzJatv1v22Dz+Apl8nNa6VaxY\nvvmS2uvtdjuaNnNhGpui6nQu7iIfWox9Yi8ZewE8OmbNjXPlavLRw4Q8NTRv7sAAFmbmGHq+l6r1\ndST6FsjLORLuCIlMhIUTM9z7V59nYXKWmx++j1BtHYd37SIlJGhoriOXVFCzZgoVJYqv5pG9Jhw+\nN67FXkb6+1m8bgV5exZNU8nWppntHUfskShac+XCZF6AcYPqtQ3ExsKIkoCwRkBYEBC8AkIJ8IJg\nF8AKVAhQMGACDAwMSUfUZSw+G1JUotibx5gzyJ/OIjodmJIqSq4INTrmOjPFswUyx1MIgogSLbDQ\nMsW+/m2c7zvF1sc+jSlt5vxPz9D35nG0OhUxIWEs6EydGmHpJ6/B0p/m1NP7abtuKfaSFZvbi8XZ\nQ7FJRZRlkgsxZobGkE0yDV3tWGzldnTDMDj4s1c4cux1RI+IETO4bevDdF7zbpMDKPc4PPDQ5z/y\n/nsvzM+N8szTL4C+kWzWR2/PNrqWgsXiQ5az2O1Xx/xj9ZqbWLRoGflCBo8n+KFD6Grr2nnoka30\nnD2FIAh0L3+AUKjpqlzb5eI3xH2ZmJjoZXYmQFXVfSTip8kobUxPfp/q6mkcjloKhQUkKYLjQ3Td\nJrMFE5dfqFGVImBFkqwUCln6+/rR9cXUN3SiKCe59bZlXH/D/WQyCZ7d/t9RmopYQg7eGHqKfD7D\n+rVbL/po3LZoDY2N32Fy8gcU8gYTE9tpaLyb0lgWtzBKAB/5+ATe7m6UYgp1QcG9qNxlKQC1HU14\n5wOUBhWKmSLW9TZKUhHBLmDx2Tmz9xDj4fOIbomJ/efxrgzgX1yJohbJDkWpe7CJ6MAc2fkM5kkz\n7RuW0nh9O6e++SbRwjyWVXbEokBmIIk5Z0WVFMSChNGqI+VkimcLzA5NIHgF9KCOEBBANCiOFjHy\nBowYyHUm1EGl7DWZFJB0Ca1HQ4xKOHxObLITy0obqYkY+XAWo0YEl0KxLwoVEkK9CYvXRmF/llKg\ngBiQkZab0Kc1IoU5nCE3Y+cGuPfTn+XPnvgcilDEFDBjqrSQOBXF3uwk0FlJaGkNjjfOo55R8DbW\nQ/U4YqWMEpjhe3/514hmsSxZVAwqd9fy4H/4bSx2G/G5BY4c2U3g5mokk0QpU+S1F5+nbeUyTJaL\nS098lDGpv4je3lOIwib8lWsQxFrO9e1heOgfaGmp586777pqBUoAtyfwDtOHD0NN7SJqahddteu5\nUvgNcV8mVKWEgIPx8ReZnYlhGC0oajNjo39GsHIdspxky513vGe0fTXgcFYQCsmEw3vJ5z3ksmE8\nXiuNjXdQKKxiYnwb3ADTUwPkKtKEGpsAmPeO8b++92f85OmfsWRpK48/+Ycf2i5sMpm55/7PMjV5\njp2vPIfd8XsEg9dwZm4fqfkoonkQY9hENHIcWc7S1bYaLa+RmouDComTUfLuHHkpSywxj5AQkGUT\nLp+XQjbDqWNvsugz3WAYDJw8iS7otK9aTu+eI+UBVRNpPA4fRW8BfUojNZFgz59vIz4bxnadg+RE\nDNllQomXqK9tY6pnGGG9gNxqxmp1kNqVgGEBo8YAr4Gm6GhZFRJADTAK6pgCDQJkDEwuE9IGGRIl\nhLMifqOaRR3dHDmwi5QthtFpIETBsAmI9Wa04SL6oEpJKoIoYFQYSE4RRSpR0ouUxko4NDdGo46v\ntgqb1469wYV5kRnRKlGYzKIndSRZJjkSRVc0/MFqomoOeUkFWryIYdUYmzuHb1kVi9YsQxQE5g5P\nMnD0FN0br6WQzSHaxQuzeMxOC7qkU8wXPpS4c9kUr+58nvHRSRwuO7ffcSd19R2XvCdFQQBDByAQ\nqKFjSSeBwAL33P/Zj+3/4t8afu2JO5EIc/jgbtKpLC2tzSxfeePHOk2vuqYN2MHEuIHL+X9RKE7R\n0vIlbPbt3Hv/9YSqmi56TviVgCRJbL33Cfa8vo3Tp45hdzro7PwDJMkCvB05SZIMarkQMz8/Rs/p\nISRtJRj/mcMHv4PF/E2e/PR/+tD1ZNlEU/MynM79SGIDuq5RXPgO3tUBatsspEbSZE/Ocucjj+Op\n9vPqs88wfWIEj9OP3eUidFMtx37wBkIL6AsapaBO5OAcljkr+kYdNV8iM5cCxSAXS7MwM4Mr4CN9\nJkmFM0jGlMQuOMmISQb7zqLX6oh5kYyQQkxLSFEZyZApTuWRRRnFXELSZPKRLIILZElG7VcQ18ug\na+izGtSBVCejSSrUgKCA4RdQowp6SsfUaIYkzOcmqY02075lOeenTpOwRDFcGsZwvuzUkzLQDoNS\nQ7n7MiugWEsYGJABxSgRnZvFf08VZqsFd4WPoidHcbpAUS1iwkK1tYG+Z08QTc6im3U0p0Z0OEPW\nEyVHgdJUnlR/hpQzTkHOsnjVCiSnTO6tSYsVVUG0BZVTrxxAcApYCjZaXV3Y3R8+w2PnK88xPtZE\nIPApCoVZXnj+KT75af8l56O7lq2m5+yPiUaFt8ZBvM6Nm+66KqR9uaeDXxf8WhN3Lpvi2R9/j3zh\nBqyWEHt2v0k4/AMWdyzH5fJ/qAfllYDbE2DL1k8wPv4UgniO2roK6uo6iEb343L7PlbS/jkcDg93\nbn2C62+4jad+8B3SmSHyhVkKhT3cuOnat5xNJPQpnWHlJJ9xRJkAACAASURBVAvJWfSRAJWWL2Ox\ndqIbn6TnzF9eeD1FKZHPpbDZ3e9b/e/s7OD113bidt2IIYQRnAmMKGhyFmm1waGjr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LXa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FFk+cotTC1rJhQOYLWuG9TeW7fha0iShCRFObD/faqrjiBFoavrIi2O/fgznChzAlgTE9h5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Bh9TUVGbOnEl2djYajYaHH36YP/3pTyxevJj//Oc/+Pv7A/Daa69x1113ATLX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ITU0d5kyJiAaPtY6IwhEb0kHQaOKRnx/4rWJV1TMKZEMk53K5sOGlDWhzyCcb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\niiB1SAkhmrBa18DrDSvKOA4wm6fvWcohW/ECD2eDM2nnow4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"text": [ - "" + "" ] } ], @@ -715,17 +722,24 @@ ], "prompt_number": 26 }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plot receiver operating characteristic (ROC) curves. Here we plot the efficiencies of selecting events that have higher values of classifier output than a given cut. " + ] + }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize=(6,6))\n", "for x,y,b in zip(hc0,hc1,clflabels):\n", - " plot(x.cumsum()/x.sum(), y.cumsum()/y.sum(), label=b)\n", + " plot(1-x.cumsum()/x.sum(), 1-y.cumsum()/y.sum(), label=b)\n", "xlim(0,1)\n", "ylim(0,1)\n", "grid()\n", - "legend()\n", + "legend(loc='center right')\n", "xlabel(r'$c\\overline{c}$ efficiency', fontsize= 'x-large')\n", "ylabel(r'$B\\overline{B}$ efficiency', fontsize= 'x-large')" ], @@ -736,14 +750,14 @@ "output_type": "pyout", "prompt_number": 27, "text": [ - "" + "" ] }, { "output_type": "display_data", - "png": 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w+fn5vP/++7i6upoybCGEqLIuXIAanZOonZFfoePI3FZCCGFFAgKg/oshrPgyCrfDp6pm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\nEEIIPSkKvPQSrEiZRZe2DRi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ctvuZ2nokL557FedPf4bs/epQ8cWLoVYtU4crrJz0eQhh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\nmjWjSZMm/H979xfSVB/GAfy7ZbaVhNNExMqoUFn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zMIJFBxex5uAyfngvna94kddjx2FtrXVUQghRmsxthfkUjyv5V/D7zJeD24PY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\nd9Lr9bYId069ePGCWlpaJi0eMxk3bT7D3BKzPS/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GDRQUFHjFU1NTiY+P7/iERKRDrVmzhp/9+meEnWX8s1c3qq6ZPUSCk8fjMTzP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\nIHfXT+7i408dZxSFhoSSsT6DkSNb8W14DfCoWH3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yxdYd/hoKO+vEabOByYv9S3zlY2CH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\nLccqFQUzL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dZd09qCp63td1IDO5mFvVjVdZ0xY8awdOlS2rRpQ+/evRk8ePB5O/RFCGHX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\ntY4Uq0IIIYQQQgghap3/Bzh+1DT407naAAAAAElFTkSuQmCC\n", "text": [ - "" + "" ] } ], diff --git a/notebooks/04_Fitting.ipynb b/notebooks/04_Fitting.ipynb index fe7e7fc..556abb1 100644 --- a/notebooks/04_Fitting.ipynb +++ b/notebooks/04_Fitting.ipynb @@ -67,9 +67,10 @@ "cell_type": "code", "collapsed": false, "input": [ - "#define a functino to minimize\n", + "#define a function to minimize\n", + "#making x,y correlates on purpose\n", "def f(x,y,z):\n", - " return (x-2)**2 + (y-3)**2 + (z-4)**2" + " return (x-2)**2 + (y-x)**2 + (z-4)**2" ], "language": "python", "metadata": {}, @@ -112,6 +113,7 @@ "output_type": "stream", "stream": "stderr", "text": [ + "-c:3: InitialParamWarning: errordef is not given. Default to 1.\n", "-c:3: InitialParamWarning: Parameter x does not have initial value. Assume 0.\n", "-c:3: InitialParamWarning: Parameter x is floating but does not have initial step size. Assume 1.\n", "-c:3: InitialParamWarning: Parameter y does not have initial value. Assume 0.\n", @@ -129,7 +131,10 @@ "input": [ "#the most frequently asked question is Does my fit converge\n", "#also look at your console it print progress if you use print_level=2\n", - "m.migrad();" + "m.migrad();\n", + "#bonus: see that link with a plus sign on the top left corner?\n", + "#clicking it will give you a latex table that you can copy paste\n", + "#to your paper/beamer slide;" ], "language": "python", "metadata": {}, @@ -145,12 +150,12 @@ "\n", " \n", " \n", - " \n", - " \n", - " \n", + " \n", + " \n", + " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -195,7 +200,7 @@ "\n", "
FCN = 1.62389076464e-22NFCN = 36NCALLS = 36FCN = 6.57752842029e-23NFCN = 52NCALLS = 52
EDM = 1.62388025554e-22EDM = 6.57730573206e-23GOAL EDM = 1e-05UP = 1.0
\n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -221,8 +226,8 @@ " \n", " \n", " \n", - " \n", - " \n", + " \n", + " \n", " \n", " \n", " \n", @@ -243,7 +248,21 @@ " \n", " \n", "
+NameValueParab Error
2y3.000000e+001.000000e+002.000000e+001.414214e+000.000000e+000.000000e+00
\n", - " " + " \n", + " 
\n",
+        "            \n",
+        "
\n", + " " ], "output_type": "display_data" }, @@ -278,9 +297,9 @@ "output_type": "stream", "stream": "stdout", "text": [ - "{'y': 3.000000000007099, 'x': 2.0000000000047327, 'z': 4.000000000009465}\n", - "{'y': 1.0000000000002762, 'x': 1.0000000000000409, 'z': 0.9999999999998322}\n", - "1.62389076464e-22\n" + "{'y': 1.999999999999814, 'x': 1.999999999997652, 'z': 3.999999999992544}\n", + "{'y': 1.414213562372341, 'x': 0.9999999999995464, 'z': 0.9999999999998791}\n", + "6.57752842029e-23\n" ] } ], @@ -300,7 +319,7 @@ "\n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -326,8 +345,8 @@ " \n", " \n", " \n", - " \n", - " \n", + " \n", + " \n", " \n", " \n", " \n", @@ -348,7 +367,21 @@ " \n", " \n", "
+NameValueParab Error
2y3.000000e+001.000000e+002.000000e+001.414214e+000.000000e+000.000000e+00
\n", - " " + " \n", + " 
\n",
+        "            \n",
+        "
\n", + " " ], "output_type": "display_data" } @@ -371,24 +404,30 @@ "\n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", @@ -400,8 +439,8 @@ " 1.00\n", " \n", " \n", - " \n", " \n", " \n", " \n", " \n", - " \n", " \n", " \n", " \n", " \n", " \n", " \n", @@ -435,7 +474,7 @@ " \n", " \n", " \n", " \n", " \n", " \n", " \n", - "
+\n", - " \n", + "
\n", + "
\n", " x\n", - " \n", + "
\n", + "
\n", " 		\n", - " \n", + "
\n", + "
\n", " y\n", - " \n", + "
\n", + "
\n", " 		\n", - " \n", + "
\n", + "
\n", " z\n", - " \n", + "
\n", + "
\n", "
\n", - " -0.00\n", + " \n", + " 0.71\n", " \n", @@ -413,8 +452,8 @@ "
y\n", - " -0.00\n", + " \n", + " 0.71\n", " \n", @@ -422,7 +461,7 @@ " \n", - " 0.00\n", + " -0.00\n", "
\n", - " 0.00\n", + " -0.00\n", " \n", @@ -443,7 +482,24 @@ "
" + " \n", + "\n", + " 
\n",
+        "            \n",
+        "
\n", + " " ], "output_type": "display_data" } @@ -502,8 +558,8 @@ " \n", " \n", " \n", - " \n", - " \n", + " \n", + " \n", " \n", " \n", " \n", @@ -537,8 +593,8 @@ "
Error-1.00.999999999995-0.9999999999981.0
Valid
\n", " \n", " \n", - " \n", - " \n", + " \n", + " \n", " \n", " \n", " \n", @@ -572,8 +628,8 @@ "
Error-1.000000000010.999999999993-1.414213562371.41421356237
Valid
\n", " \n", " \n", - " \n", - " \n", + " \n", + " \n", " \n", " \n", " \n", @@ -604,9 +660,9 @@ "output_type": "pyout", "prompt_number": 11, "text": [ - "{'x': {'lower_new_min': False, 'upper': 0.9999999999952673, 'lower': -1.0000000000047327, 'at_lower_limit': False, 'min': 2.0000000000047327, 'at_lower_max_fcn': False, 'is_valid': True, 'upper_new_min': False, 'at_upper_limit': False, 'lower_valid': True, 'upper_valid': True, 'at_upper_max_fcn': False, 'nfcn': 18L},\n", - " 'y': {'lower_new_min': False, 'upper': 0.9999999999929008, 'lower': -1.0000000000070992, 'at_lower_limit': False, 'min': 3.000000000007099, 'at_lower_max_fcn': False, 'is_valid': True, 'upper_new_min': False, 'at_upper_limit': False, 'lower_valid': True, 'upper_valid': True, 'at_upper_max_fcn': False, 'nfcn': 18L},\n", - " 'z': {'lower_new_min': False, 'upper': 0.9999999999905348, 'lower': -1.0000000000094653, 'at_lower_limit': False, 'min': 4.000000000009465, 'at_lower_max_fcn': False, 'is_valid': True, 'upper_new_min': False, 'at_upper_limit': False, 'lower_valid': True, 'upper_valid': True, 'at_upper_max_fcn': False, 'nfcn': 18L}}" + "{'x': {'lower_new_min': False, 'upper': 1.0000000000023477, 'lower': -0.9999999999976521, 'at_lower_limit': False, 'min': 1.999999999997652, 'at_lower_max_fcn': False, 'is_valid': True, 'upper_new_min': False, 'at_upper_limit': False, 'lower_valid': True, 'upper_valid': True, 'at_upper_max_fcn': False, 'nfcn': 18L},\n", + " 'y': {'lower_new_min': False, 'upper': 1.414213562373281, 'lower': -1.4142135623729089, 'at_lower_limit': False, 'min': 1.999999999999814, 'at_lower_max_fcn': False, 'is_valid': True, 'upper_new_min': False, 'at_upper_limit': False, 'lower_valid': True, 'upper_valid': True, 'at_upper_max_fcn': False, 'nfcn': 28L},\n", + " 'z': {'lower_new_min': False, 'upper': 1.000000000007456, 'lower': -0.9999999999925441, 'at_lower_limit': False, 'min': 3.999999999992544, 'at_lower_max_fcn': False, 'is_valid': True, 'upper_new_min': False, 'at_upper_limit': False, 'lower_valid': True, 'upper_valid': True, 'at_upper_max_fcn': False, 'nfcn': 18L}}" ] } ], @@ -625,17 +681,62 @@ "output_type": "pyout", "prompt_number": 12, "text": [ - "{('x', -1.0): -1.0000000000047327,\n", - " ('x', 1.0): 0.9999999999952673,\n", - " ('y', -1.0): -1.0000000000070992,\n", - " ('y', 1.0): 0.9999999999929008,\n", - " ('z', -1.0): -1.0000000000094653,\n", - " ('z', 1.0): 0.9999999999905348}" + "{('x', -1.0): -0.9999999999976521,\n", + " ('x', 1.0): 1.0000000000023477,\n", + " ('y', -1.0): -1.4142135623729089,\n", + " ('y', 1.0): 1.414213562373281,\n", + " ('z', -1.0): -0.9999999999925441,\n", + " ('z', 1.0): 1.000000000007456}" ] } ], "prompt_number": 12 }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "###Contour and Profile(Scan)" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "m.draw_mncontour('x','y') # you can get the raw value using m.mncontour or m.mncontour_grid;" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "png": 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fNAhaZmZwWLwYnFQKJWUaR/IFFb0CeLELpeOyZRj0x6iJ75YvD8e4cb1pJ8q3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\nwDoG4ZnMiAhErF2L2rIyuGz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+ "text": [ + "" + ] + } + ], + "prompt_number": 13 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "m.draw_profile('x') # this is 1d evaluation not minos scan;" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "png": 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jEjmy9QgN2jbg1N5TVGuQ/eyxYs2KnNx7Er9uflz++zIpSSmULFeS4qWLkxiX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\nZhynvDKZcZyef/55Pv74Y4oVy7l7Lsh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+ "text": [ + "" + ] + } + ], + "prompt_number": 14 + }, { "cell_type": "markdown", "metadata": {}, @@ -656,12 +757,13 @@ "output_type": "stream", "stream": "stderr", "text": [ + "-c:1: InitialParamWarning: errordef is not given. Default to 1.\n", "-c:1: InitialParamWarning: Parameter x is floating but does not have initial step size. Assume 1.\n", "-c:1: InitialParamWarning: Parameter z does not have initial value. Assume 0.\n" ] } ], - "prompt_number": 13 + "prompt_number": 15 }, { "cell_type": "code", @@ -683,12 +785,12 @@ "\n", "
Error-1.000000000010.999999999991-0.9999999999931.00000000001
Valid
\n", " \n", - " \n", + " \n", " \n", " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -733,7 +835,7 @@ "\n", "
FCN = 1.00000010694FCN = 2.00000011701NFCN = 30NCALLS = 30
EDM = 1.06933681618e-07EDM = 1.17011093083e-07GOAL EDM = 1e-05UP = 1.0
\n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -747,8 +849,8 @@ " \n", " \n", " \n", - " \n", - " \n", + " \n", + " \n", " \n", " \n", " \n", @@ -781,7 +883,21 @@ " \n", " \n", "
+NameValueParab Error
1x2.000000e+001.000000e+003.000070e+007.071068e-010.000000e+000.000000e+00
\n", - " " + " \n", + " 
\n",
+        "            \n",
+        "
\n", + " " ], "output_type": "display_data" }, @@ -792,7 +908,7 @@ "output_type": "display_data" } ], - "prompt_number": 14 + "prompt_number": 16 }, { "cell_type": "markdown", @@ -816,7 +932,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 15 + "prompt_number": 17 }, { "cell_type": "code", @@ -833,11 +949,11 @@ "output_type": "display_data", "png": 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"text": [ - "" + "" ] } ], - "prompt_number": 16 + "prompt_number": 18 }, { "cell_type": "code", @@ -850,7 +966,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 17 + "prompt_number": 19 }, { "cell_type": "code", @@ -870,13 +986,13 @@ "outputs": [ { "output_type": "pyout", - "prompt_number": 18, + "prompt_number": 20, "text": [ "['mu', 'sigma']" ] } ], - "prompt_number": 18 + "prompt_number": 20 }, { "cell_type": "code", @@ -901,11 +1017,11 @@ "output_type": "display_data", "png": 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hQK4A2fNsMvvfuaNV3jgxkS5qbt8OVK9Op/bDhpnNTQky9z2Q1/+xbTkkzlqD\nzOn/hS0Efdt56y1aNckKkb3/lcKBnCkZHDlCQfzsWZqLf/BgftMYGVNgY4On70/DoBfW0Leezz+n\nWjWPHqltVmrhQK4A2fNsMvtXqhRceKOtW4F27YBr14BXXgF27wbq1DG7mxJk7nvAsP862wHU905O\nwK+/Ut/fuGE5OQXI3v9K4UDOyM2KFUC3blT0adAgmplYgkemWB3t2gF799IH57599C3owgW1rUod\nHMgVIHueTWb/AnPkQgCzZlEOPDMTePddYOVK+qpvRcjc94BCf19fCuIaDZCQQCmuI0fM7qYE2ftf\nKYUG8piYGHh7e8PT0xNz587N8/iPP/4IjUaDJk2aoHXr1jh+/LhZRJnSSfnyQEgIUKYMULbsswV6\nnj4F3nkH+OAD2rF4MTBvHk0vZ2BjQ5NWy5QB2re30BeU2rUppdWxI3D9Or3w7t0WeGEGACAMkJmZ\nKRo0aCASExNFenq60Gg0Ij4+Plebv//+W6SlpQkhhNiyZYsICgrKc5xCXoYppVy9KkT16nT/11+F\n6NmT7k+eLMScOXQ/M1OIx4/plpHxbMeIEUIAQjg4CLF2rSru1k5GRna/ZWYa//wffxRi4MC8+5s2\nFeLQISGePBHC3j6fJz55IsSAAfT3cXQU4vffjX9xRo/S2GnwFCY2NhYeHh5wd3eHvb09wsPDER0d\nnatNq1atUOnZR35QUBAuXbpkrs8cphTywgt0ZlmmDGD3NJ0WPl62jE7Pf/uNaoAwebCzy+43iw6h\nd3Cgou9vvEHFyXr1AlavtqBA6cTgFP3U1FS4ubnpt11dXXHgwIEC23/33Xfo2rVrvo8NHz4c7s/q\nPTs5OcHf319/RTkrj2Wt24sWLZLKVxZ/H5/s7ZMnAYC2k5O1SEujbX2O8/FjBH/2GbBlC7TlygFz\n5iC4Uyer+n3y286Zo7UGH6Xb8fFArv7P8fjhw1rcukWP5/v8PXuA8HAEOzsDc+dCO2gQcPAgghcu\ntPjvI1v/a7VaLF++HAD08VIRhk7X161bJ0aNGqXfXrlypYiIiMi37Y4dO4SPj4+4detWkb8eWCs7\nd+5UW6FYWKu/ktTKzp07hbhzR4i2benretWqQhw+rIpvUbDWvi+MrNTK8/6FplaeZ84c+rsBQsye\nbRZXQ8ja/1kojZ0GUysuLi5IybG6dkpKClxdXfO0O378OF5//XVs3LgRzs7Oyj9FJCHrk1NWZPYP\nbtyYxiej0OwNAAAcpUlEQVTv2QO4uNAFtKZN1dZSjMx9D5jAf8oUIDKSrsC+/z7w0UcWndIve/8r\nxWAgb968ORISEpCUlIT09HRERUUhLCwsV5vk5GT06dMHq1atgoeHh1llmVLGlSs0TvnQIaB+fQrm\nPj5qWzHG8sYbwKpVNKpoxgwabcT1WUyKwUBuZ2eHJUuWIDQ0FL6+vhgwYAB8fHwQGRmJyMhIAMCM\nGTNw+/ZtjBkzBgEBAWjRooVFxC1JzjybjKjlf+cOlaSNiQH++AN48MBw+2vXqO2FC0CFu5eB4GBo\nT52iccp79gD16llG3ITI/N65fBmYN0+LmBj6WxaLQYOANWvoyuvs2VSjxQLBXOb+N4ZC65F36dIF\nXbp0ybVv9OjR+vvffvstvv32W9ObMdLz44/AnDkUh48dAxYupEEn+dGwIc30XrQIqPI4FSP2tQdS\nE4AGDYBdu6jANmMxfH1pYNC6dcCSJZQh+fe/i3nQ/v1psetXX6U3Q3o68NlnzyYHMMXB5llC3bwv\nYmMDC7wMY2UsWQKcOUM/Bw+mtR0GD85+/No1qm917VqOJ126RJNJzp+n9TS3b6eVEhjVGDeOFvcY\nNw5o1ozW62jcGKhQgWKx0WzaRMXm09OpZvyXX/JkrgJQGju59xjr4dIlIDiYgnhAAAfxkkq3brTQ\nh6MjXQgdNcpqy+DKAgdyBcieZ5PCPyWFgvg//9ColGdBXAp3A7B/AYSG0pl5uXI0wSurZo6Jkb3/\nlcKBnFGf5OTsIN6sGQXxypXVtmLMTUgIsGUL5Wh+/JHybhkZaltJCQdyBcg+FtWa/V11FymIX7hA\na5Vt2wbkmItgze5KYP9CePllGtL04ovAzz/T1XATBnPZ+18pHMgZ1bBNScIvt4NpibbAwDxBnCkl\nvPQS/e0rVQLWr6dRLUW6ilp64UCuANnzbMX1T04Gxo4F3nyTbrGxxfP59FPgg8FJQHAw6j5NAlq0\noH9kJ6c8bUt736tNlv+aNfS3v3hR+XOjorLfMxMmFHKi3aIFpdScnIANG2io4pMnxXIH5O9/pXAg\nZwrl6FHgr79oNGBiIvDnn8U73q8LE/Hupnao9uAibnsF0XJhvKqP1TJmDDB0KP3958wBGjVS9ryf\nfqIh4v7+wNKlwO3bhTyheXN6czk706iWfv1MEsxLA4VOCGLkz7OZwt/d3fgzsny5cAGrr7SHky4Z\naNkSzln50QLgvleXLH9f39z7lWY+OncGevYE/vMfhS/YtCkF8w4dgN9/p/Hm69fTUMUiIHv/K4XP\nyBmLUeHaP0BwMFx0yXjctFX2RS6GyUlAALBjB80h2LwZ6N2bapszBcKBXAGy59mswb/6vX/Q4eNg\nICUFB8u0xpVlyoK4NbgXB/YvIhoNsHMnUK0aFeAJCwMePTL6MLL3v1I4kDPm5/x5TNveDuVvXQLa\ntMFrNbdAVKiothVj7TRuTMG8enW6GN6jB/DwodpWVgkHcgXInmdT079aWgLQrh2qPErFtYZtgc2b\n8cBWeRDnvlcX1f0bNaJgXqMG5c67dy+8jGYOVPe3EBzIGbPhdP0c3toQDFy+jNPVX4b23c1ART4T\nZ4zE1xfQaoGaNSmod+sG3L+vtpVVwYFcAbLn2SzhHxAA1KpFt/BwAGfPovfiYDg9uAy0a4fPO2/G\n6IkVUKsWjUtXOgiB+15dTOVftizg50fvj27daN+ff2a/Z2rVohGHBeLtTcG8Vi0qa9y1q6JgLnv/\nK4UDOWMS4uOBffuA5cuB9OOngeBglL97BedcgoFNm/DpN+Vx+jRw5AiVra1dW21jxpKcOEE16dev\nB86epX2XL9OkziNHgE6dqPilQRo2pCDu4kILjXTuDNy7Z3Z3GeBArgDZ82yW8q9VC3C7F49vEtoD\nV68ixSsEX3XbBJQvjzJlss+8jKlMy32vLqbyf/FF+ttXr557f7lytL98eYUH8vSkM3NXV2DvXqqi\nePdugc1l73+lcCBnTIbNqZPwHN0eVTOvAR06YNPo35BhX05tLaak4eFBZ+Z16tDXwNBQE6xFJzcc\nyBUge57NEv6Nnp6AfecQ2N+6jr8rdgI2bkSmQ/GDOPe9ulitf/36FMzr1gX276fcTFpanmZW629i\nOJAzxefYMfyRGQKb//0Pd17qjAn1o+nqFsOYE3d3Cub16lElt44dFRR0KZlwIFeA7Hk2s/ofPQqE\nhKAabkDXuSsuLPgV6bZFq4uRH9z36mL1/nXrUs68fn3g0CGq0XLrlv5hq/c3ERzImQI5cQI4cCB7\nlEEWycm0P37VEYiQEODWLWyy6Y7MqF8gyjjiwQN6PClJFW3GQjx9Sn/nAweA1FTad/9+9j6LnRzX\nqUPBvEEDGgLzyivAzZsWenHrgAO5AmTPsxXF/9YtGhs+fjywbh3QsiXt12jof+XLkYdRa+grsLl9\nGwgLQ7jdOqBMGdSsCVStSs/bs4eK2Vna3Zooqf52drRS2/jxwPDhwL/+Rfu//hro1Yv2Z2RQ1sMi\nuLlRmsXTk74lvvIKcOOG9P2vFC5jy+SLTkdloQ8cyL0/PBwIb3CQLi4hDf9r2xvV1q5BekUHADQ+\nfO9ey/sylsXWlsrIAxQ/s8rUZmbSOspz5qgg5eJCZ+YhITRoPSQEmDFDBRHLw2fkCpA9z2ZS/7//\npjxkWhp2Ve2L+P9EAQ4Opjv+c3Dfq4t0/rVr0zR+b2/gxAkET5tGM9BKOBzIGeX8+SeNDLh7F3j1\nVczwWQ1hZ6+2FcPkplYtOjP39QVOnQLa0wS1kgwHcgXInmczif/vv1ORjIcPKSn600/Q2Zo/iHPf\nq4u0/jVqADt3QluvHnD6NAXzK1fUtjIbHMiZwlm7llZpefKEVmH+7jvghRfUtmIYw1SvDixcSHXN\nz5wBgoOzh9eUMDiQK0C6POFzFMt/+XK6wpmZCbz7LrBkCV3pshCluu+tAOn9e/WiZeM0GuDcOQrm\nKSlqa5kcHrXCFMiIR18CI/5NG//3f8CHH9Ky6AxjAYQA5s7NvyZWnz5A8+YKD1S1avb1nbg4oE0b\nGnLTsKFJfdWEz8gVIG2e8BlF8S+7ZB7mPXgWxBcsoPFlKgTx0tj31oSa/k+eANOmARUq5L4dPAj8\n+quyY+j9q1ShYN6qFc1oa9uWJkSUEPiMnMnN06fAlCmosGABbX/1FfDmm+o6MaUWOztg6tTc+4Qo\n4tKdzs609me/frSgc3AwrWYhefoI4DNyRUifJ1Tqn5EBjBgBLFgAYWeHMRVWqh7ES03fWyklzr98\neSA6mq773LtHi1NER6viZko4kDPEgwc0t3rFCqBcOdxZ9RvWOQ5R24phTI+DA7BqFTBmDOVv+vYF\nfvhBbatiwYFcASU+z3nrFs3W3LyZcok7diAjpLNF3AqjxPe9lVNi/V94AfjiC7qAr9PR3IhPP7Wk\nmkkpNJDHxMTA29sbnp6emDt3bp7Hz5w5g1atWsHR0RGffPKJWSQZM5KSQlfx9++nwkN//QUEBalt\nxTDmx8aGarFkBfAJE4ApU+g6kWQYDOQ6nQ4RERGIiYlBfHw8Vq9ejdOnT+dqU6VKFXz++eeYNGmS\nWUXVpMTlCbM4fZpWvz19GmjUiOqoeHtb1K0wSmzfS0Kp8H/7bUqt2NkB8+YBgwdTykUiDAby2NhY\neHh4wN3dHfb29ggPD0f0cxcGqlWrhubNm8PenmtuSMWuXUDr1rR0+UsvAbt304K2DGMk9vY0JNDX\nlyZSGqqhZm8PXLxIbadMoW2r4F//AjZtAipWBNasoeqeEq02ZHD4YWpqKtzc3PTbrq6uOPB8XVOF\nDB8+HO7u7gAAJycn+Pv76z8ts/JY1rq9aNEiqXwL9Z86FZg3D8E6HdCjB7RjxwLHj+d6Pi1/aPj4\nOR+nb6Om98+Z47SW/mT/3O0fP9YiMhJo1oy2k5O10Grzb1+nDrB8uRYZGUCLFsHPKs9qkZoK+Pnl\nbt+yZf6vl5ioxePHgJL3m1H936kTsGcPtK+8AuzejeDWrYEtW6BNTCxy/xm7rdVqsXz5cgDQx0tF\nCAOsW7dOjBo1Sr+9cuVKERERkW/b6dOniwULFuT7WCEvY/Xs3LlTbYViofd/+lSIjz4SgobiCvHW\nW0JkZub7nOvXhaha1fBx27UTIuvQDg5CPH5sIuEclJi+lxRL+Y8ZI8QXX+Te9+iREGXK5G07c6YQ\nU6cqO26R/JOThfDzo/+RmjWFOHzY+GOYCKWx02BqxcXFBSk56hKkpKTAtRR+/c765JSV4OBgyvn9\n61801d7WFvjsM2DRIqsvflUi+l5iSqW/mxstbxUSQuVv27ZVPpVUJQwG8ubNmyMhIQFJSUlIT09H\nVFQUwsLC8m1LHx6MVXLzJuX8Vq3KnhAxbpzaVgxjvTg5AVu20MnPw4dU3GXWLPoua4UYDOR2dnZY\nsmQJQkND4evriwEDBsDHxweRkZGIjIwEAFy9ehVubm749NNPMXPmTNSpUwf379+3iLylyJlnk44T\nJ6D186OLmbVr05lG9+5qWylG6r4H+6tNsfwdHKj659y5NFTxgw+AIUOAR49MpWcyCq210qVLF3Tp\n0iXXvtGjR+vv16xZM1f6hbEifvmFzigePACaNQM2bOCRKQxjDDY2wOTJgI8PMGgQ8NNPwPnz9L9U\nq5badnq4aJYCpMsTPn1KufBnC88GDxkCfPMNULZsvs3v389ePMXBAahb11KihSNd3z8H+5uXO3eA\n69fz7nd2puq1JvPv0YPmWYSFAbGxQGAg5c0DA01z/GLCgbykce8eMHQo5cFtbWmCw4QJBkvQvv02\n8NtvwIsvAklJdMJRrpzllBmmqIwYQZOSy5fP3peeTsPBT5408Ys1bkxBvG9fSlG2aUMLrYwapXqd\nfq61ogBp8oSnTwMtW1IQz7pYM3EitLt2GXxaejowfz6QkAC4u9O2tSBN3xcA+5uX9HT6spmQkH3b\nti37PWxy/2rVgO3bacnD9HTgjTeAkSNVz5tzIC8prFpFS6bEx9O0uYMHaaQKwzCmxcGBCm6tWEHp\nymXLaHb0hQuqKXEgV4BV5wkfPaKzgqFDaZjUkCHAgQOAh4e+iVX7F4LM7gD7q41Z/YcOpbxOgwbA\n0aM0oGDTJvO9ngE4kMtMQgItXbV0KVCmDP1csYLWw2IYxvw0aQIcOkQXQdPSaGjvxIkWL7rFgVwB\nVpknXLOGzgCOHaOz7/37C7zoYpX+CpHZHWB/tbGIv5MTjWCZPZtmSi9cSKmWc+fM/9rP4EAuG2lp\nVGZz4EAaodK/P3D4MODvr7YZw5RebG2B996jev716tHCzk2bUv7cArNBefihAqwlT7jnv1poFv4L\nL6alILNMOdgtXkj58XzOwrdto7QdEYyDB+metzcNiTXE0qUFDjnPw5o1dF01M1Pxr2EU1tL3RYX9\nlbNtG81ds7OjpWJNMaLPGP+0NOC777LXlejWjcYNGEXLlkBcHI1q+ekn4LXXgD/+AL7+ms7czQSf\nkcvAkyfA5Mlo/Z8QvJiWgqTqLdCqTBwwenSB7/bZsynAXr+efTt5kla2MsTkydmrlBfWduxYGq97\n/TrNP3IwUIeaYQwxYABlCK9fp/fumTOWdzh0iGrJXb9OEzdXry7igSpVolFkP/xA16uioiiXvn27\nSX1zYd4ijISFXsZsqFqK9MgRITQaIQCRCVvxv3//R9y8mi6cnQ0/rX17If78k+5n+cfF0aGeZ+hQ\nIX74wbTapoLLwKqLGv7+/vS2V1LGtls3IX77LffjZ88K4elJ943x37ZNiFdeofszZggxbZrx7nlI\nSBAiKCi7dPSYMULcu6f46UpjJ5+RWyuPHtESKoGBdEGzQQMMcvsLN8f9nxUtq8IwjEE8PChv/vHH\n9H/71Vc0bNHEcCBXgMXznFotfRWbN48Sdm+/DRw9iqNlWxXpcDLnaWV2B9hfbazC384OmDqVcp2B\ngcD06aZ/CZMfkSk6aWmUpF66lLb9/IBvv+VV7RmmJKDR0GQ9M9Rl4TNyBZh9LOrTpzRMqWFDCuIO\nDlS58PBhkwRxmccCy+wOsL/aWJ2/mYpr8Rm52hw4QKv1ZI0PbNMGiIwswrgnhmFKKxzIFWCWPNvV\nq8D779MKJACt3jN/Pk30MfGndn7+u3ZR2g6gCWihoSZ9SZNhFTnOYsD+lueFF4DkZKB1awAIzvXY\n7NnAyy8D77xDFWkBwMUF+PnnvMdYtgzYsYPm+nzzDa0tYa1wILc09+/Tosfz5tHMTAcHqhf+wQcW\nrZESH08VOd99l7abNbPYSzOMWalfn8qFP1+Oef58et+//DLw559UEsXFBejZM+8xIiKAdu3o/sSJ\nQGKidQdyzpErwCR5tidPgM8/p0ppH35IQbxbN5qlM3u2WYN4Qf61atFZS+vWgKOj2V6+WFhdjtNI\n2N/y2NjQ4JDWrYGMDK3+PV6zZu52AQFUcy4/Xnwx+3+jcmXzOxcXPiM3NzodTdX9z39o+R0AaNGC\ngndIiKpqDMOUDDiQK6BIecLMTCpEMns2fZ8D6LvZrFn0Xc6CS0PJmOfMQmZ3gP3VRnZ/pXAgNzWP\nH9MFzLlzs8/A69ShYiRDh9JVFIZhGBPCOXIFKMoT3rlDV1Pq1QPGjKEg7uVF5dQSEoDhw1UL4jLm\nObOQ2R1gf7WR3V8pfEZeXOLjaSXtFSuoBidAtcGnTgX69MGtOy/g6V3aXbkyDWV68oSudQK0sE/F\nirkPKQRw82b2dpUqeTMxT58CN27Q/YoV6Tg6HXD7Nu2zpgWUGcbUPHxI739j3+f379PzjC27fOcO\nPc/BgS6EWht8Rq6APHm2zExaEeSVV4BGjagQzoMHQPv2tHL9kSNA//7Y9dcLqFGDaoC7udHCIQDw\n6qs0RMrbG6halbIxOVm1CnB1pcddXIC1a3M/7uhIlTK9vek4Q4bQ/rlzKYvj7U1fAqpWLcBfImR2\nB9jfHLi6AitX0vv86FGgevWC2+b0r1MHmDOHnnf7tvLy4O7uNGcv6//1/v1i6ZsFDuTGkJAATJtG\n6ZM+fWi2QPnylEo5eZK2O3fWnz4/fAh06ECf5O++S9tZ+9evp/329nnPDh4+BIYNo8cHDsx+Xhbl\nygEXL9Ljq1fnPu7UqbT/2jWqu8UwJY2s/40bN6h2eIsWyp6X9b9x4wZw5QoFdiV8+WX288qXBzIy\niu5uLjiQF8adO9BOmkQDSr28qBzlpUtUnnLRIrr/5Zd0Zm6lyJwnlNkdYH+1kd1fKZwjLwghaJmm\nNWuycx/ly1NeZNgwoG1bSngzDMOoDAfygrCxoSscjx8jOCSEgnefPhadRm8qrDHPqRSZ3QH2VxvZ\n/ZXCgdwQs2YBn34K1K2rtgnDMEyBcG7AEN7eQN260ufZZPaX2R1gf7WR3V8pfEZugN9+o9EfZ8/S\nuO3nS6OcPAns31/w80+cyL19+DAt+JOaapzHrl00siUtzbjn5cfNm+Swd2/e8esMYy38+qvh/y1T\nkpFB/xNZlTQKY8UKulyWk5YtaUGvU6eAffsMP79xY9Mv+sWB3ACDBwO9egEPHgRj3Dj6I+Xk00+p\nlnfDhgUfY+BA+tmxI3D5Mr0527RRvm5E7970gbJ/P9C3L40rN5asPKG7O9C9Ox3L0RHo0cP4Y1ka\n2XOc7G88I0fS+PDLl6mEbHEozL9sWeDf/87+0Bg82PDx3nor7wna2bPA338D339PA9lOn6Yv8/lx\n6RLVPt+6VZm/UjiQF8KSJUBKCg1WyY/hw+mNVxht29LNWHr2zL9eclFwcqK5SwxjzUREWO61bG3p\nhEwp+a2b/P33wF9/ZW8PGwa8/nr+z9+6FViwwChFRXCOXAEHD2rVVigWMucJZXYH2F9tZPdXCgdy\nBZw5c1RthWJx9Ki8/jK7A+yvNrL7K6XQQB4TEwNvb294enpi7ty5+bYZP348PD09odFoEBcXZ3JJ\ntbl3zwRXGVUkzRRXSVVCZneA/dVGdn+lGAzkOp0OERERiImJQXx8PFavXo3Tp0/narN582acP38e\nCQkJ+OabbzBmzBizCjMMwzC5MRjIY2Nj4eHhAXd3d9jb2yM8PBzR0dG52mzcuBHDhg0DAAQFBSEt\nLQ3Xrl0zn7EKpKYmqa1QLJKyFriQEJndAfZXG9n9FSMMsHbtWjFq1Cj99sqVK0VERESuNt27dxd7\n9+7Vb7/yyivi0KFDudoA4Bvf+MY3vhXhpgSDww9tFK4rSbG64Oc9/zjDMAxjOgymVlxcXJCSkqLf\nTklJgaurq8E2ly5dgktRZq0wDMMwRcJgIG/evDkSEhKQlJSE9PR0REVFISwsLFebsLAwrFixAgCw\nf/9+ODk5oUaNGuYzZhiGYXJhMLViZ2eHJUuWIDQ0FDqdDiNHjoSPjw8iIyMBAKNHj0bXrl2xefNm\neHh4oHz58li2bJlFxBmGYZhnKMqkm5AFCxYIGxsbcfPmTUu/dLGYNm2aaNKkidBoNCIkJEQkJyer\nrWQUkyZNEt7e3qJJkyaid+/eIi0tTW0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"text": [ - "" + "" ] } ], - "prompt_number": 19 + "prompt_number": 21 }, { "cell_type": "code", @@ -978,7 +1094,7 @@ "\n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -1014,7 +1130,19 @@ " \n", " \n", "
+NameValueParab Error
\n", - " " + " \n", + " 
\n",
+        "            \n",
+        "
\n", + " " ], "output_type": "display_data" }, @@ -1028,11 +1156,11 @@ "output_type": "display_data", "png": 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tW8s5JEotVarAmDFy3cYvdTX2RTtyA6geZ1NZ/61qvzP9BJWXLgCgzfcT+OQT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\nJYx25LczW7fKAT/A1me/0r0CNI5LxYo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+Pj72lmGYnGMwXF1dzWMwVKFjx45Uq1bN3jJu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\nHo97a7wAAAAASUVORK5CYII=\n", "text": [ - "" + "" ] } ], - "prompt_number": 20 + "prompt_number": 22 }, { "cell_type": "markdown", @@ -1058,7 +1186,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 21 + "prompt_number": 23 }, { "cell_type": "code", @@ -1072,20 +1200,19 @@ "outputs": [ { "output_type": "pyout", - "prompt_number": 22, + "prompt_number": 24, "text": [ "['mean', 'sigma']" ] } ], - "prompt_number": 22 + "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "m = Minuit(ulh, mean=0.2, sigma =0.3)\n", - "m.set_up(0.5)\n", "m.migrad()\n", "ulh.show(m)" ], @@ -1161,7 +1288,7 @@ "\n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -1197,7 +1324,19 @@ " \n", " \n", "
+NameValueParab Error
\n", - " " + " \n", + " 
\n",
+        "            \n",
+        "
\n", + " " ], "output_type": "display_data" }, @@ -1211,11 +1350,11 @@ "output_type": "display_data", "png": 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4cSLb/uPHpSO/f192xVy9Ove6zp2TD8T792X3+q++0ve9A/rXrxXlyBW6pk4d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\nFtHR0SIxMVH4+fmJyMjITGV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p9lxKjBiaPtP3IxjW1Yoa2akBvcfZHqb/9m2IioL4ke/I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\nOXPmCIPBIK5du2bpUxeKqVOnigYNGgg/Pz/Rrl0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"text": [ - "" + "" ] } ], - "prompt_number": 23 + "prompt_number": 25 }, { "cell_type": "markdown", @@ -1229,7 +1368,8 @@ "metadata": {}, "source": [ "####Binned $\\chi^2$\n", - "Just a $\\chi^2$ with symmetric poisson error assumption. Binned $\\chi^2$ doesn't make much sense for non extended one. " + "Just a $\\chi^2$ with symmetric poisson error assumption. Currently doesn't support unextended fit yet(easy fix, anyone wanna do it?).\n", + "But, binned likelihood support both extended and unextended fit." ] }, { @@ -1243,7 +1383,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 24 + "prompt_number": 26 }, { "cell_type": "code", @@ -1257,13 +1397,13 @@ "outputs": [ { "output_type": "pyout", - "prompt_number": 25, + "prompt_number": 27, "text": [ "['x', 'mean', 'sigma', 'N']" ] } ], - "prompt_number": 25 + "prompt_number": 27 }, { "cell_type": "code", @@ -1279,11 +1419,11 @@ "output_type": "display_data", "png": 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RuaSCg4NhYWGBtLQ0ODg4qEa858+fx/Tp0wFQb9lu3bqpJp6dnJwwfPhwAEDf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\nkydj5MiRAGh0npmZCQDIyMhA27ZtAQB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"text": [ - "" + "" ] } ], - "prompt_number": 26 + "prompt_number": 28 }, { "cell_type": "code", @@ -1366,7 +1506,7 @@ "\n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -1414,7 +1554,21 @@ " \n", " \n", "
+NameValueParab Error
\n", - " " + " \n", + " 
\n",
+        "            \n",
+        "
\n", + " " ], "output_type": "display_data" }, @@ -1428,11 +1582,11 @@ "output_type": "display_data", "png": 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4e3vz0ksvceTIkXzZdubMGVq2bIm3tzeenp6Eh298dNDBg3QODiYGCGzUCK/O\nnfHw8ODatR7cunVT3U2v1+Pt7U2D9EksMu5Zq1atSEtLy/mmPoYx57k8fRr++guuiMpMdZuvrBw3\nDh6774WF1ufw1Lp/BlPAvxiyUZCXzDxVXW5ERESIuLg4IYQQ//77r3BwcMiyvU2bNqqejKHXDAkJ\nyXOfd955J8vkIU/LTz/9JN577z0hhBDLli0Tffr0ybbPtWvXxAsvvKD64O/vL7Zv365uv3XrlmjZ\nsqV46aWXsmnQfPDBB6Jfv35i6NCh6rqoqCjRpUsXdfn27dvq+8zaMbdu3VLXh4aG5qg9k5dt/v7+\n4pdffhFCCHH8+HFRtaqTkn65f1/cq1NHNAMhPvwwy3XKlBkpRo1SahYTEhKEu7u7uHjxohBCiKtX\nr6r7ffrpp098RgVBxnR3Fhbp+jNDhyor6tYV4u7dQrdHYt4YGjvNtqW+aNEiPD098fLywt/fX12/\na9cuWrRoQe3atdUW9Pnz52nYsCEAXl5eVK1aFQB3d3fu37+vtjZv3bpFcnIyFStWJCAggOHDh2c7\nlxCCoUOHUrduXXx8fLhy5YraebF9+3bc3Nzw8PAgMDCQ5ORk5syZw8qVKxk/fjxvvvnmM/kcGhqq\n+tqrVy+2b9+ebZ9z587h6upKxYoVAWjXrl2WXxLjx49nzJgxlCxZMkuny6FDh7hy5QodOnTIcr5l\ny5bh6+urLh88eBCAlJQUkpOTqVRJGTFZtmxZdZ87d+6o6w21rVq1aty8qbS6x4xJ5PZtB44cgQef\nfI7+1CnaVKgAkyZx6FBZgoNhwgRBauo9IiIqpeuwLKVXr17qZN6Zr+/r68vvv/+e161VMaZ+yNKl\nygCokiXTZdy//hrq1YOTJxX9gUJG69ooWvfPYArymyUnjHHJf//9V7i5uYnr168LIYQq/evv7y/8\n/PyEEEprz8XFRQiRfYLpDFauXCl8fHzU5ZCQEHWi59zOFRISInx8fERaWpqIjY0VdnZ2IiQkRNy/\nf1/UqFFDbZEPHDhQfP/990KIvFvzmaVwM78yt64zaNCggYhJn0ZNCCFq166t3oMMbty4IRwdHcX5\n8+dFSkqK6Nmzp/D19RVCKJNPZ0xKnVktMjU1Veh0OhETEyMWLFiQpaX+6quvZmnRh4WFiQ4dOojy\n5cur9yeDn376SdSuXVtUrVpVnDt3Lpv9OdnWtWtXIYQQN2/eFO7u7sLR0VFYW5cXcEi8zG6RioX4\nAETY7NmiYNXaAAAgAElEQVTqeQICAoS9vb1o0aKFKj08YsQI8f777wudTicaN24sFi1apO7/4MED\nUb169Rzv/+MYvaP0rhClSmVaEREhhLW10mLfvduo13oSWu9I1Lp/hsZOs2yp79ixAz8/P1Xsyi59\nNhsLCwtVdbBevXrEx8fneo5jx44xZswY/u///k9dt3nzZnVQUG7n2rVrF/369cPCwoJq1arRtm1b\nAE6dOoWzszP9+/cHlAm5M4bzA7mWIu3atYuIiIhsr4zz5pfy5cvz888/06dPH1q1aoWzszNWVlYI\nIRg5ciQzZszIZtPs2bPp3Lkz1atXz2bnhQsXqFatmrqs0+nYvHkzcXFxJCUlqZOlgCKwdubMGb79\n9lveeustg20DGDlyJG+//TYXL16kadM/seBNFlkEYIlgT9WqvDJ4sHqe+fPnExsbi4eHB1999RWg\n/HI4fPgwf/75J5s3b+bLL79UJRRKlixJWlqaQf0ZBZ6X9fKCjL6Et9+GpKSCvV4mtJ5z1rp/hmKW\nQT2ves0SJUqo73Pb59KlS/Ts2ZPFixfj7Oysrg8PD88yU1NO58rt2o/PxZrbtR8no3Pw8VdOqRUH\nBwf+++8/QJk/9ubNm1lUHDN47bXX2LdvH3///Tdubm64ublx+/Ztjh07hk6nw9nZmX379tGtWzcO\nHTrEvn37mDVrFs7Oznz88ccsWrSITz/9NE9fSpYsSa9evThw4EC2bX369MnWCZubbXXq1AHg77//\nxs/PD4A//2xOZes4nhdnOOfmRo1mzbB+rNrF0tKSN954Q71+jRo16NChA6VKlaJixYq0atUqS2et\nEMJk8+Vm47PPoE4dJQ0zebKprZFoDLMM6m3btmXlypXqMPqEhASDj01MTKRLly5MmzaNl156SV1/\n7Ngx6tat+8R//FatWrF8+XLS0tKIi4tTq2cyNMx/++03ABYvXmxQy+Gvv/7KsaXerl27bPv6+vqq\nLeNVq1bluA/AlStXAOW+/Pzzz7z99tuUK1eOq1evEh0dTXR0NM2bNyc0NJTGjRuzZMkSLly4QHR0\nNDNmzGDgwIFMTg82NWvWJC59qra7d++qOfCHDx+yfv16vL29AdRWMcCGDRtyVYfMyTZQ9Oa3bdsG\nQNzu9dg8TKQSsPG11+jUpYt6/JkzZwAlSIeGhqrX79atG7t37yY1NZV79+6xf/9+3N3dAaUCxsrK\nipIlS+b+INIplLzsc8890gOeMgWOHSv4a6L9nLPW/TMUs1RpdHd357PPPqN169ZYWVnRqFEjVaEw\nc1DO6f2sWbM4e/YsEydOZOLEiVhYWLB582Y2btyopl7yOr5Hjx7s2LEDd3d3XnjhBV5++WVAabnO\nnz+fd999l2nTptGsWTPefffdHM/1tAQGBjJgwAC1s3HZsmXqNm9vbyIiIgBFuTKjlTphwgR1Ug1D\nyWzrK6+8wsGDB2ncuDF37txh3LhxfPHFFwgh6Nixo5pm+emnn9i2bRs2NjZUrlyZ+fPn58u26dOn\nExgYyHfffYfFmTMsANZVD2JzVBSzhg8HlEAeEBDArVu3AGjSpAk//fQToHwpvPrqq3h4eGBpacng\nwYPVoB4REZHlC7ygyTyqNSVFeQUHPzaqtVUreOcd+L//U9Iwe/aApVm2sSRFDaNn85+ACS5pED4+\nPuLy5cumNqPIcfbsWdG5c+fCu+D8+crUcHaVRZeXY0XTpk2f+ZRjx44Vf/zxx7Pb9hQ8fCjE/v25\nbExMFKJaNaXT9H//K1S7JOaHobFTNg3S2bJlC/b29qY2o8hRq1YtypYty9mzZwv+Ytevw6hRAES9\n9y33SlYjPDz8mU6ZlJTE7t278z1tn7GwsoJM3TRZef75RyNMx46FfKQRJZLckEHdyGgxr7ds2TJq\n164NFKx/MW+Ng+vXOefclq8v9Sc6OuvcoE9DyZIl2bVrl8Hpr0J/fm+8oaRirl0DI87alRNa/Gxm\nRuv+GYpZ5tQlGuToURzW/wpWVtRa/yNfV7Tg+HFIn0tbu1hYwMyZ0KgRzJ4NgwdD+kA5ieRpeKL0\nrpOTE+XKlcPKygobGxvCw8O5ceMGffr04cKFCzg5ObFixQq1VnzKlCnMmzcPKysrZs6cmW2EopTe\nlWRDCGjfXhHsGjZMCXLFjWHDYNYsRXM9LEwJ9hJJJoymp+7s7MyhQ4ey1EOPHj2aSpUqMXr0aKZN\nm0ZCQgJTp07l+PHj9OvXjwMHDhATE0P79u05ffo0lpl69WVQl2RjzRplhugKFSAqSvlb3EhIADc3\nJQ2zfDmk1+xLJBkYGjsNyqk/fqLMGiT+/v6sWbMGgLVr19K3b19sbGxwcnLCxcXlmTu6zA2t5/WM\n7l9SEnz0kfJ+4kSTB/TCen56PemaNemvH8qzrvkkZeMnnxTISFP52SwePDGnbmFhQfv27bGysuKd\nd95h8ODBxMfHq5Ui9vb26hD62NhYmjdvrh7r6OhITExMtnMGBATg5OQEKEP8vby81IE6GQ/GXJcj\nIyOLlD1F3r8PPoBz59C5u8O772rPvzyWdTpl+Ztv4J13dLw2PhC9yxQ4fx7dTz/ByJEmvx9y2XTL\ner2eBQsWAKjx0iCeVPMYGxsrhFBmsff09BS7du0SdnZ2WfYpX768EEKIoUOHZpGYDQwMzCZkZcAl\nJcWFa9eEKFdOqdPevNnU1piM3r2FWLEifWHDBuV+2NkJ8ZhYm6R4Y2jsfGL6JUPMqXLlyvTo0YPw\n8HDs7e3V2enj4uKoUqUKoGiTXLx4UT320qVLODg4GP4NIyleTJkCt26Bjw881qFebOnUCdq1g8RE\nmDTJ1NZIzJA8g/q9e/e4ffs2oOh+bNmyhYYNG2bRIFm4cKE6sMPX15dly5aRnJxMdHQ0UVFRWQSy\nigMZP5+0itH8u3hRqfYAmDrVOOc0AiZ/fhYWMH268nfWLEifccoYmNy3Akbr/hlKnjn1+Ph4evTo\nASgCTv3796dDhw40adIEPz8/5s6dq5Y0gqLJ4ufnh7u7O9bW1syePbvoKONJihbBwUpnYJ8+So22\n5BHe3lz2GUDVLYv41/dTVvV+pPGTRT9GIsmBJ5Y0Gv2CsqRRcvy4MsDG0hJOnIB8Co5piaAgpaLT\nwUEpT08f7qH8knF1haQkdv0QwddbvFi/3qSmSkyMUUsaJRKj8tlnkJamqBMW44AOyuTUV69CZKQS\n4FVq1IAhQwCos2S8aYyTmCUyqBsZref1ntm/vXuVpqmtLXz+uVFsMiaF/fxsbZW/tWs/klhXGTMG\nSpfG/sB66iTse+Zryc9m8UBqv0iMRmYd8YMHoUkT5b2aBxbi0VRuI0ZApmnyiitLlyqZqHHjMqVe\nMqhSBYYPh8mTGXDqMyD7bFgSyePInLqkQLCwUDIsWfrJN26Ezp2VUaPnzinSsxJef11RBXj99Rw2\nJiSQUsMZm7s3Yft2eMq5ayXmj8ypS4oWQkDGvKdjx8qAbiBBn5Tn59IfA/BwzGfKfZRI8kAGdSOj\n9bzeU/u3dq3SG1i9Orz/vlFtMiZF7fmdPg2fXhnOFSpjfWAf/PnnU5+rqPlmbLTun6HInLqk4ElL\nU+rSgT89xxI+rRQnT0L58mBvL2uv88LWFu5Shu+eG8uUByOV5HunTnI+U0muyJy6xOgEBcH//gev\nvgq//w52YauhZ0+llX72LDz3HP7+Sno4Xeyz2JG5U3nlSqhfH9zds3/BJSZC165gV/I+6064QGws\nrFiRSwJeomWMpqdubGRQ1z46Hezcqbz3653G8qhGcOQI/PgjDB0KUOyDemauX4dSpR6VNz7O+vXw\nyy+w/rVf4L33oG5d+PdfZQJUSbFBdpSaCK3n9QzxLyM4NW0K87qtVQK6g4My2KiIY4rnV7Fi7gE9\nC2+9BU5OcPIkrFpFZk32wYOVsv+85nSVn83igcypS4zO0qVKvnzzxjRKtw1WVo4dC889Z1K7zJ4S\nJZT7+M478OWX6I6+jk6ntMsqVlQ6VStWNLGNEpMj0y+SAsHCAtJW/YFF715KK/3MGTWoBwVBaKjS\nSbpzZw6DbiRZUNMv61FE0FxdFW2YVaugVy9ABvXigEy/SEyKBWnwxURl4dNPs7TST5+G+Hg4evQx\nvROJSubUyh9/KHn34GDQ7y35aFTul1/KunVJdow4MYdBmOCShUpYWJipTShQDPWvByHKDD4ODkI8\neJBlW6dOyiZnZyESEgrAyGfALJ7f/ftCVK+u3MS1a4UQQlSooEwklRdm4dszoHX/DI2dsqUuMT5C\nMIFMrfSSJbNsXroUataEjz+WqZen4rnnlMmpAb74gqDBglu3FGn6xETTmiYxPTKnLjEaGbXXbqfX\n0+/3rtwqW50fPjhHy/Ylsw0ukiWNz8j9++DsDPHxfNJgA1//2xlQytfT56yRaAyZU5cUOjodBE8Q\n9Ds/GYCywaMY/1X2gC4xAqVKKT91gEEXvwAE3t45yPdKih0yqBsZrdfKPtG/XbsUzfQKFbAIGlwo\nNhkTs3p+774LlSpR9+Z+OlltZdWqvNNZZuXbU6B1/wxFBnWJcZmstNIZPhzKlDGtLVqndGkYNQqA\nzy2+4PlyMq0pkTl1iTE5dEiZGaNMGbhwQdFNz0RmvZP165XO0oYNpaDXM3H7tjLK9MYNbobu5Pmu\nrUxtkaSAkNovksKnd28ICVFaj9Onm9qa4sPEiRAcTHLbjpTYvsnU1kgKCNlRaiK0ntfL1b+TJ5VR\nMiVKwIcfFqpNxsQsn9+wYdyhNCV2bIbDh3PdzSx9ywda989QpPaLxDhMm6aMbhw0SJHYlRQ4j9JZ\nFShv/Q7DH37LsQFTuPrTSpnOKsYYlH5JTU2lSZMmODo6sm7dOm7cuEGfPn24cOECTk5OrFixArv0\nbvcpU6Ywb948rKysmDlzJh06dMh6QZl+0R7//Qe1ayuTYZw+rbyXFCq3T8ZQxrMWFikpcOIE1Klj\napMkRsao6ZcffvgBd3d3LNJnEZ46dSo+Pj6cPn2adu3aMXXqVACOHz/O8uXLOX78OJs2bWLIkCGk\npaU9gxsSs2DGDHj4EN54QwZ0E1G2rgMW/v7Kr6Wvvza1ORIT8sSgfunSJf7880/efvtt9VsiNDQU\n//ShgP7+/qxZswaAtWvX0rdvX2xsbHBycsLFxYXw8PACNL/oodW8XobAVECAntGjlYrF4GDYs/oK\nzJmj7JQhNGXGmPXzGz1ameZu0SJFxfExzNo3A9C6f4byxJz6hx9+yPTp07l165a6Lj4+Hnt7ewDs\n7e2Jj48HIDY2lubNm6v7OTo6EhMTk+2cAQEBODk5AWBnZ4eXlxe69CRgxoMx1+XIyMgiZY8xl3U6\n+P77SOLjISFBxw8/gP7Nkejv30fXtSs0bFik7H2aZbN+fi4u6HU62LED3TffwPffFy375HK+lvV6\nPQsWLABQ46VB5KX2tW7dOjFkyBAhhKKA9tprrwkhhLCzs8uyX/ny5YUQQgwdOlQsWbJEXR8YGChC\nQkKeSmlMUnRZuFCIAQOEEImJQpQrp6gF/v23qc2SCCFEZKTyPEqVEuLKFVNbIzEihsbOPNMvf//9\nN6GhoTg7O9O3b1927NjBgAEDsLe35/LlywDExcVRpUoVABwcHLiY6WffpUuXcHBwMPwbRmJe/Pwz\n3LqljBx66SVTWyMB8PSELl0Uwa+ZM01tjcQE5BnUJ0+ezMWLF4mOjmbZsmW0bduWxYsX4+vry8KF\nCwFYuHAh3bt3B8DX15dly5aRnJxMdHQ0UVFRNGvWrOC9KEJk/HzSKhn+2Ty8D999p6wcO9Z0BhkZ\nTTy/jOcxa5bypZuOJnzLA637Zyj5qlPPqH4ZM2YMfn5+zJ07Vy1pBHB3d8fPzw93d3esra2ZPXu2\neoxEG8yYAWfPQo+4eXDzCjRuDD4+pjZLkpkWLaBVK0Vc7ZdflA5USbFBygRI8oVOB3t2pnAGF2ry\nX5Z5MiVFiE2boFMnqFoVoqPlpN8aQMoESAoEW1voy+/U5D9S3epCjx6mNkmSEx07grc3XL4M6RUU\nkuKBDOpGRut5vSHv7iD4OWWwmdXYT5S6aA2hmednYfEot/711/DwoXZ8ywWt+2co2vqPlBQ4ZY7s\nodaDE1wr/QL0729qcyR50bMnuLkp6Zfly01tjaSQkDl1ieEIAc2awcGDLGo6k4Hhw0xtkeRJzJsH\ngYFQvz4cPaq5X1bFCZlTlxifbdvg4EHul63MLpdAU1sjeQJ6PXwZ/SY3yznCsWPM7rye4OBHE5VI\ntIkM6kZGq3k9vR6ig6agB1bV+JADx2w1GSC09Px0Ohj/ZQmen/gRAPaRYwieINCqLK+Wnt2zIPXU\nJQahe24fnA/jgq0tbVcOoUGSUlwhMQMGD+bO2K+oGH9C+RZu08bUFkkKEJlTlxhGt24QGqpUVGRM\nLi0xG/58+Us67/1cGSi2ZYupzZE8BTKnLjEe//6rBPTnnoMRI0xtjeQp2O05lOSSZWDrVjhwwNTm\nSAoQGdSNjCbzeumToPD22+iPHzetLQWMFp9fUBAsXl+ez0q8pqyYMsW0BhUQWnx2T4MM6pK8OXcO\nfv8drK1h1ChTWyN5Ck6fhkuXYO7t10m2LAmrV4PGv5yLMzKoGxmd1koLpk9X5h7t3x9q1tSef4+h\nRf9sbZW/ZWr0RAS8pSxMm2Y6gwoILT67p0F2lEpyJy4OnJwgJQWOHYN69UxtkeQpSExUxowFBMCn\nfaPB1VXZcOaM8nwlZoHsKDURmsrrffstJCcrol3pAV1T/uWAFv2zs1PmzYiJ0YOzM/TtC6mpio6y\nhtDis3saZFCX5MyNG4oWN2hqEgwJjyYInzsX0ucXlmgHGdSNjGbyej/+CHfuKHXNTZqoqzXjXy5o\n2T8XF53ypn59ZdzBgwfw/fcmtcmYaPnZ5QeZU5dk5/ZtqFkTEhKUEYitW5vaIslToNc/knE4dUoZ\nZlCzpiIfoCu1H5o3h3Ll4MIFJUcjKdIYHDuNONm1QZjgkoVKWFiYqU14dr7+WpmR/uWXhUhLy7JJ\nE/7lgZb9y+Zb27bKc540yST2GBstPzshDI+dMv0iycqDB/DNN8r7zz5TJluQaJOMvpLvv4d790xr\ni8RoyPSLBHj0U73pgdl0+fN9LlXxZs67h9C1sdCsql+xRwh48UVFNmDmTBgm9fGLMobGThnUJY9I\nSVFqmC9c4OjnK/GY2NvUFkkKEL0eLv+8mjdW9CSxXA2+G3IGi5IllJy7zsTGSbIh69RNhFnXyi5d\nChcu8J9tHa62yHlCabP2zwC07N/jvul08Mbv3aBePexuXUT8tpTgYPMN6Fp+dvlBBnWJQmqqKvT0\ne82xYGVlYoMkhYKlpVq3PujKVOVzIDFr8ky/PHjwgNatW5OUlERycjLdunVjypQp3Lhxgz59+nDh\nwgWcnJxYsWIFduklUVOmTGHevHlYWVkxc+ZMOnTokPWCMv1SNFm5Evz8uFbWiXqWp3F2s2HLFlnp\nVixISSG5pisl4i7AqlXQq5epLZLkgFHSL8899xxhYWFERkZy9OhRwsLC2L17N1OnTsXHx4fTp0/T\nrl07pqZLsx4/fpzly5dz/PhxNm3axJAhQ0hLSzOOR5KCQwh14otFVUdz7aYNBw4okq2SYoCNDVf8\nP1beT56sfB4kZssT0y+26RJvycnJpKamUr58eUJDQ/H39wfA39+fNWvWALB27Vr69u2LjY0NTk5O\nuLi4EB4eXoDmFz3MMq+3cSNERkLVqux0HgRAnTrw66/ZdzVL//KBlv3LzbegIOiz+S2uWFSBw4fN\ndmYkLT+7/PDEOUrT0tJo1KgRZ8+e5b333qN+/frEx8djb28PgL29PfHp+hGxsbE0b95cPdbR0ZGY\nmJhs5wwICMApXR3Ozs4OLy8vdYhvxoMx1+XIyMgiZc8Tl8PCYPRodAAffcTguvvYFQ7Tpumws9OA\nf1p/fkZYDg+HI0d0fMNIOjEGRo1C16EDWFgUCfuK67Jer2fBggUAarw0CENHMyUmJooXX3xR7Nix\nQ9jZ2WXZVr58eSGEEEOHDhVLlixR1wcGBoqQkJCnGhUlKST0emVUYYUKQty+LYRQBhpu22ZiuySF\nRqdOykeg8nO3RGr5CsrCjh2mNkvyGIbGToOrX55//nm6dOnCoUOHsLe35/LlywDExcVRpUoVABwc\nHLh48aJ6zKVLl3BwcDD8G0ZS+Hz1lfJ3+HAoU8a0tkhMwtKlim6bvUtZLEd+qKz84gvTGiV5avIM\n6teuXSMxMRGA+/fvs3XrVry9vfH19WXhwoUALFy4kO7duwPg6+vLsmXLSE5OJjo6mqioKJo1a1bA\nLhQtMn4+mQV79sC2bYqo09ChBh1iVv49BVr2Lzff7Ozg66/Tq1iHDSM97wa7dhWmec+Mlp9dfsgz\npx4XF4e/vz9paWmkpaUxYMAA2rVrh7e3N35+fsydO1ctaQRwd3fHz88Pd3d3rK2tmT17NhZSO6To\nMnGi8veDD9AfrUDG/8TNm7BsGfz1V7qin85E9kkKn+efhxEjIDhYaa1v22ZqiyT5RMoEFFf27oWX\nX4ayZeH8eahQwdQWSQqZzNK8ly/DmjXw7rvQvnECr7zpBLduwe7d0KKFCa2UZCC1XyQqmf95M3hz\nyau4nN2sKDFm5NUlxZbUVEhKejRJNePHK5+Ljh1h0yaT2iZRkNovJqIo5vV0OuXXdHCw8sva8dI+\nJaCXKQMffpivcxVF/4yJlv3Lyzcrq0wBHZQPSpkysHkz7N9f4LYZAy0/u/wgg3ox484dqLXkUS6d\nihVNa5CkaFKx4qPO8y+/NK0tknwh0y/FjCvr9lPFt7nSCjt/XgZ1Se5cvQpOTsoEGgcOZJmrVlL4\nyPSLJEfKfpfeSh86VAZ0Sd5Urgzvv6+8Dw42qSkSw5FB3cgU5bze5O7hlArbyB1Kc/Ptj57qHEXZ\nP2OgZf+exrc9L39Msk1p2LCBOW/vU/tmiuJt0vKzyw9P1H6RaIe2fwUDMIuhHB5bifThBRJJrrTo\nXhk+Hg6TJ6PbMZ4S+q288IKprZLkhcypFxf27IFXXuE2ZahjfY7jVytLrXSJYSQkgLMz3LzJmTlh\nuATqTG1RsUTm1CWPEAI+/RSA9a4fQmUZ0CX5oHx5+EhJ11X9abzUWy/iyKBuZIpkXm/rVkXHo3x5\nWq35CMtneOpF0j8jomX/nsW3D84O5xoVKROxmzurtxrPKCOi5WeXH2ROXQNkHjGa0YiysEjXbWkt\nlFGjAJ98gij3vAkslJg7R8+XYxqfMJ3RXH57HC49fJQPmaTIIXPqGmPyZGWAUfrsdLB6NfTsye0y\nVZk57AyJKaVZswb695diXRLD6dwZ9Bvv8Z91LSo9jIe1a8HX19RmFSuk9ksxJUtQT00FDw84fhxm\nzXpUcyyR5JPERGUc0qGAmdT+YbjyuYqI4JlyeZJ8ITtKTUSRyuv9/rsS0J2cYPBgo5yySPlXAGjZ\nv2fxzc4OataEu/2CwNERjh6FVauMZ5wR0PKzyw8yqGuIoCCYMweWL4fEK8kwYYKyYcIEKFHCtMZJ\nNIEo+Zyi4AhKX01KimkNkmRDpl80hE4HO3cq739t9AuDD78HdevCP/+AtewTl+SfzJ3wv/wCPXpA\ntcoPGbWgAbYXT8m0XiEic+rFkM6dYeNGqGV/lygLVywvx8HKldC7t6lNk2iAJUsUefXKlVFm1OjR\nQ1k4c0aZElFSoMicuokwZV5v6VJo0ABm1fpGCehNm0LPnka9htbzllr271l9e/PN9IAO0K2bMnPW\n1aswY8Yz22YMtPzs8oMM6hrCzg7efi2Otge/VlbMmCGrEyQFg4UFTJ+uvP/mG4iNNa09EhWZftEY\nEU2D8D74P+jeXalRl0gKkp49lc/Z4MHw66+mtkbTyJx6MSKjM6vKlX9552dPhIUlP79/jIa93OTg\nIknBcuoU1K+vDGX+91+oV8/UFmkWmVM3EabI62XMQTrk/GisSMN6yDsM+7FgArrW85Za9q8gfNPH\n1eGA92BIS+O47xhGjzad3rqWn11+kHVuWmHrVqX0pWzZR/XpEkkBo9MB6yaAy2Lcz4TywoW/GLq8\npanNKtbk2VK/ePEibdq0oX79+jRo0ICZM2cCcOPGDXx8fHBzc6NDhw4kJiaqx0yZMgVXV1fq1q3L\nli1bCtb6IojOFPmO1FQYNUp5/+mnmUoUjI9J/CtEtOxfgflWtar6+eu280NISyuY6zwBLT+7/JBn\nTv3y5ctcvnwZLy8v7ty5Q+PGjVmzZg3z58+nUqVKjB49mmnTppGQkMDUqVM5fvw4/fr148CBA8TE\nxNC+fXtOnz6NZaYKDJlTzz+ZB4CEhytli7a2mQS5FiyAQYOgRg0lx1mqlKlMlRRThg66y2eL61At\nNYZ7M+dgOyzQ1CZpDoNjp8gH3bp1E1u3bhV16tQRly9fFkIIERcXJ+rUqSOEEGLy5Mli6tSp6v4d\nO3YUe/fuzXKOfF7S7AgLCyvQ87u5CXHyZKYVt28LUb26ECDE4sUFem0hCt4/U6Nl/wrSt9athXiD\npUKASCxZWYiEhAK7Vm5o+dkJYXjsNDinfv78eSIiInjxxReJj4/H3t4eAHt7e+Lj4wGIjY2lefPm\n6jGOjo7ExMRkO1dAQABOTk4A2NnZ4eXlpf50yujsMNflyMjIAj3/vXt6wsOhTp307e+8A7Gx6Jo2\nhX79zN4/Uy9r3b+CWra11bGMN2hpNQX3pH/QTZwI331XZOwzx2W9Xs+CBQsA1HhpEIZE/tu3b4tG\njRqJ1atXCyGEsLOzy7K9fPnyQgghhg4dKpYsWaKuDwwMFCEhIU/1bSPJzuDBQpQqJUSrVukNodOn\nhbCxUVrp+/aZ2jxJMSYhQQhPTyEm+UUIYWkphJWVEMeOmdosTWFo7HxiSWNKSgq9evViwIABdO/e\nHVBa55cvXwYgLi6OKlWqAODg4MDFixfVYy9duoSDg4Ph3zCSPDl9Gu7fV2amCwoCRoxQVPIGDYIX\nX67pnnUAABYRSURBVDS1eZJijJ0dDBgA1x29lA9naioMHy7nMzUBeQZ1IQSBgYG4u7szYsQIdb2v\nry8LFy4EYOHChWqw9/X1ZdmyZSQnJxMdHU1UVBTNmjUrQPOLHhk/nwoCW1vlb8OGMK/XBvjzT0VI\nacqUArvm4xSkf0UBLftXaL59+aUS5bdtU2ZIKiS0/OzyQ5459T179rBkyRI8PDzw9vYGlJLFMWPG\n4Ofnx9y5c3FycmLFihUAuLu74+fnh7u7O9bW1syePRsLOY+h0Vi6VClwmfdzEmUC0r9kg4MhvX9D\nIilsMldmHTigzLoVPKsS/Qd+ievMYfDhh4q0o6zIKjSkTICZUacO7On4BZV+nKAMyT5yBGxsTG2W\nRJKVhw/B21uRDpg4ET7/3NQWmT1S+0VDZG4N/flDFHtuN8QmNYnI78LwGqEzoWUSSR7o9dCmDQ+t\nSjJ7yL/cqOCibpKTnuefAqlTNwYmuGShUqC1smlp4nLDdkq1i79/wV0nD7ReC6xl/0zi28CByue1\nfXtx+1aaGDOm4C6l5WcnhBGrXyRFiKVLsf9nO1SoUGQmJpBI8mTGDOXzum0b4rel/O9/pjZI+8j0\ni7mQkKDMN3rlCsybp5QxSiTmwPz58NZbpFWqjFvqSc7cqGBqi8wSKb2rNUaPVgJ6q1YQEGBqayQS\nwwkI4FS11lheu8qniaPJpP8nKQBkUDcyBVIru3UrzJkDJUooU7qbsExU67XAWvbPZL5ZWPCV4/+R\nRAneEnOZ2W17gVxGy88uP8igXtS5fVuZKgyUmnQ5s4zEDLleqQ5foJQ1josOVD7XkgJB5tSLOu+/\nD7NnQ6NGsG+frEmXmCWJiRA4MIXxfzbHK/UwDBkCP/1karPMClmnbiZkrkHPjE4HOvTQpo0SyA8e\nBA+PwjVOIjEi165BT5ej7LrXRNEs2rFD+XxLDEIGdROh1+tVGc38cvYsLF+uTF7E7dvg5QXnzilp\nlyIyRd2z+GcOaNk/U/iWudGSlASbNsE3dl/SVv85ODvD0aPoD5bJvWGjy8+1tPvswPDYKecoLUJc\nvQqhoelB/cMPlYDu6Qljx5raNInkqXg8ME+ZAqSMgWZ/QGQkjByJ7tdf1X1691a6kDp2LHxbtYJs\nqRcRgoKUDMu5cxAzazWlB/SEkiXh0CGoX9/U5kkkxuWff6BpU6X5vno1pCu9dumipNu7dDGxfUUQ\nWaduZpw+DRERUOpmHKmB6dUuX38tA7pEmzRsCFOnKu/ffhtiYwkKUmoBJkxA1rI/AzKoG5mnrZVV\ntNIFC63eolzydejQAYYONaZpRkHrtcBa9q/I+fbBB8rn/Pp1GDSIqFNp3Lih/DgNCsr/6YqcfyZC\nBvUiwtKl8JPL93RI3aRoZcyfD5by8Ug0jKUlLFgAFSvCli30vfIDAK6u8OuvpjXNnJE59aLCvn2k\nvdISy9SHWXKMEonmWbMGevRA2NjQpexf+M9+kT59TG1U0UPm1M0EvR6mfXKDxFf7YJn6kP+VHkFw\nZPccS7wkEk3SvTt88AEWKSksuOdH+bTrprbIrJFB3cjkN6+na5XGJ8f9sbv5H6JZMwZdmUZwcNGd\nQEDreUst+1dUfdPr4cty07nk0IwqD/6j2piBTJyQlu+GTVH1r7CRdeqmZsYMWL8eypfHYsUKrG1L\nmNoiiaRQUWrZS8DbK8Dbm4b//UnDUl+DboypTTNLZE7dlGzeDJ07Q1qaMuqoa1dTWySRmJYNG+C1\n15RO1E2bwMfH1BYVGWROvagTFQVvvKEE9M8/lwFdIgFl1NFnnyn/F336KP8nknwhg7qRMSivd+sW\ndOumjLDo1q3I6LoYgtbzllr2z2x8++IL5f8iIUH5e/OmQYeZjX8FjAzqhU1qKrz5Jpw4oYwWXbxY\n1qNLJJmxtFT+L+rXV/5P+vdX/m8kBpFnTv2tt95iw4YNVKlShX/++QeAGzdu0KdPHy5cuICTkxMr\nVqzAzs4OgClTpjBv3jysrKyYOXMmHTp0yH7BYpZTzyKtKwSvbh5B8/0zSSlbHpvD4eDiYkLrJJIi\nzNmz0KwZ3LjB3uYfsrnjt9y5A3fvgr19/lUczR2DY6fIg127donDhw+LBg0aqOs+/vhjMW3aNCGE\nEFOnThWffPKJEEKIY8eOCU9PT5GcnCyio6NF7dq1RWpqarZzPuGSmuZgv2+EACFKlBAiLMzU5kgk\nRZ8dO4SwsVH+b779VixfLsTrr5vaKNNgaOzM83d/y5YtKV++fJZ1oaGh+Pv7A+Dv78+aNWsAWLt2\nLX379sXGxgYnJydcXFwIDw9/qm8kcybXvN7KlTRe+pHyfsECs21iaD1vqWX/zNK3Nm2U/xeAkSPZ\nP3I5f/2Vs+CXWfpXAOS7Tj0+Ph57e3sA7O3tiY+PByA2NpbmzZur+zk6OhITE5PjOQICAnBycgLA\nzs4OLy8vVdw+48GY63JkZGT27UeO0OKjT7ABhtgF0blsNV5Lvxemttco/mloWev+meVy9eropk2D\nTz7h1Zg32U4cQUEjWLGiiNhXQMt6vZ4F6V9oGfHSIJ7UlI+Ojs6SfrGzs8uyvXz58kIIIYYOHSqW\nLFmirg8MDBQhISFP/RNCM+zbJ0SZMkKAmMUQAWnF9uejRPLUpKWJtTWHCgHiJmXFre3hprao0DE0\ndua77MLe3p7L/9/enUdFdeUJHP+yigTjGtGARGUJFEsVccGYGFHibnNwI0qcHFuUHm1byWLAqJNo\nYoxJTycubZ8s0nKiUVtHQyuKoh3EuJGIiAuNqJCA2o7YKmIKC4o3f1xAGTeMVTzqcT/ncMSqB/W7\n4vvx6nff/d1//QuAixcv0rFjRwA8PDwoLi6uO66kpAQPD49H/fbacuwYDB0K5eV81zmGmSzDy8tO\ndqCTpEdlZ8dLRz4jvf0rPMkNWo0dIs4v6S6PnNQjIyNJTk4GIDk5maiaboKRkZGsX78ek8lEYWEh\nBQUF9O7d27LR2oDat0/k5YnVcNeuQVQUocdW083bgT/8AWpuFrJJdePTKC2Pz1bHlpEhtun9bLkD\nq/p/ze5WUXD1Kqb+L8OpU3ccl6FWiE3KA2vqEyZMYO/evZSWltKlSxcWLlxIYmIi0dHRrFq1qu6W\nRgCdTkd0dDQ6nQ5HR0dWrlyJnZ1dowyiyTlxAl5+GS5f5krvoawMXI/5z048+6zY3ai2YZeNzpVK\nUqO681wxGp0wXlsPk6NwTkuDiAjYswd0OjVDbFJk7xdLy86+vZtLRITo6SK2NZIkyVKMRtFaY88e\n6NBB9FF67jm1o7Iq2ftFDQcOiFuwrlwRPSy2bZMJXZKsoWVL2LpVNMQrLRXn3f79akfVJMik/phq\n631rX92OKXwwGWVlnNSNZe+szeDionZ4Fqf1uqWWx6e5sbVsKXYJGzcOysrIiIgQnR2bOdlP/TGF\nh0N4/ufw/nSorsYcMZjAtHXgKP9pJcnqnJ1h3ToulrvBjr9SPXwkqSNWcqSH2Lm6Oc5dyZr646iu\nhnfegSVLAPiAeewbtJANf7Oz6TtcJMnm1LawXrQIgKo3ZuP4yUeaapbX0Nwpk/qvVVYGkyaJt38O\nDizx/oLE05MB8W6w5qYgSZIa0er+Sbya+TucqMI0chTO3yRDq1Zqh2URcqLUmvLyRPe4LVugdWtI\nTWWvt0jovr4Zml5cpLm67P+j5fFpeWwgxrfabjLD2ME1WuO8bYs4T/Py1A6tUcnC7wPc2Ta3qgoq\nK+G5wv9hzLZJOBrLITCQw4lb2HHQl5AQMUdjMMBnnzXPWp4kqc3VFXbwMpMDs9hYPRqHvJPQuzcn\n3/orG5WxAFRUgIMDODlp8zyV5ZcGiIuD7H03mfnTG7xmrLkMj46GVavAza3uuKVLYfp08Z9FkqTG\nU3sBVlEhprjefBPaOZcTe3gq7v9YLw6aNo0ZFX9kc5or7drB99/b1upuWVO3oKk9snkzOwZ/8qm0\nd8bpTx/DzJnQXFfMSlITtmEDjB0rrsZRFFi+HGbPBpOJn1s+yyjjWrLpYXNzX7Kmbgm3bsG777Ly\naB/8yeef9jqMmT/ArFn3TejNoW6pZVoen5bHBrfH98orNQkdxHk6cyZkZUFgIF7GfA7Rhz+1XsAX\ny2+pFqs1yaR+P/v3Q2goLFyIk1LJxk4zmDf0R558IUTtyCRJelR6PfzwA7f+cxZOVPH69fdoMyBU\n1GA0plmXX+rtH1rjifJLvPrPeTyd+hUApe39+PtvvuKQUz9KSsRkuhYnVyRJy+481yt372XG8Tg6\nl50WD0ydCh98ADVtxJsqWVN/BHFx8P2eW/y+ehnTr7yP3Y0bYkVoQgLMm6fJ5f6S1KxVVMDixeKj\nshKefBLmzhWl1RYt1I7unmRNvaGqquiWmczWczp+X/S2SOgjRsDx4+K39yMm9OZSt9QqLY9Py2OD\nRxyfiwssWAC5uaIpWFkZJCRwtVMAW6KSWfhfVbz33t3v5G1B871PvapKTH0vWMCc0+Jt2BnnADp9\n8yluY4aoHJwkSY3C3x9SU2HXLnjjDdqePMmolEmEbFtEpz/P54l+MYCYdb2zhHPpErRvL97QN7Vy\nbPMrv5SXQ1ISfPopFBUBUNrGmznGd7k+fAK6EMcm90OSJKkRVFWxOGgt4/Lfx4ez4rHu3SE+Hn77\n27o1KXFx8PXXYn4tJaXx7nXXfE39XpOc8IDfmgUF8MUXYsHQ1aviMR8fSEyE114jY78TPj7g6fnY\noUmSZKOGD4ddO6qIdV7DSo8PcCisSe5t2sCUKRAXR/hUX/buFQ835r3umk/qteLixN2HiiL2qKj3\nW7O8XOw89NVX8N13tx9/4QV46y2xc0rdDa2WkZGRQbiGL/Pl+GyXlscGjze+O1ekbtwoWrWPG21m\njNPfCdr53/U24DjUMpzlxikceCqKVyY/wdCh4kKy9nts3Sr27XByEougap9/XA3NnTZfUz99+vbe\ns3Fx8LdkI6Sm8r8rNtB2fypOVUYATE6unAgajzL1d/SY1vw2xJYk6f7ufIf/0Ue1jzoAo2D+KLF4\n6S9/gQ0b6GPMoA8ZVJe7Yl84EkrHwS/DCQ93rUvu2dniO5w71/il3CZ7pf6w8krt82vXQvmZi/zG\neRfTvdMIKtommm3VOOPel2/dJpJkjOHAydY21etBkqQm5vp1WLcOVq+Gw4dvP+7qCiNHwsiRvLp6\nEN/8oxOdO4sLTkvlHM2UX+LiYPdueOYZ0em2TRvgxg04dAjS0zFv34nDydz6X9Srl1grHB1N+H90\nUaX+JUmSxv30E2zaJJJKVla9p046hJDjPpjqgYPoGtOXfsPc7vNNGk4zSX1gfzMlmWfpwyEmdj/I\nYLcDcOKE2OmklquruHwfMkT8tuzevd6V/JkzogXE229brr51P7Juadu0PD4tjw1UHl9REXz7rbg1\nMiMDjMbbz9nbQ3Aw9OkDzz8v/vT1feRdmWyvpl5dDefPiwx84gQXduZSnZPLtgsncOUXccy5mmMd\nHaFnT+jfXyTyF1+8axVYbZkmPl6sAp4/H0IaoW1LTk6Opk8cOT7bpeWxgcrj69pVJJv4eNEIcP9+\nSE8XZYacHDh2THx8/jkAN+2eoMA5ENOzIbR9KRjf0cHg50dGfmcyMu3ZuhWuXBGprnaytaGsktTT\n0tKIj4/HbDYzZcoUEhIS6j2f+9F2Svae5dqRs3QsP8szlWfoqhTiZL7dNe3pO46/0tKDVgN74fzS\n89C3L/ToIaanG6BNGzGb3ViuXbvWeC+mAjk+26XlsUETGl+LFjBwoPhYvBh++UXMnB48CAcPcjn1\nME+ZLmC4lQW5WZALrBBfGu7iQni3bgy+5M0P/+7OWbxp+303wid4NfjlLZ7UzWYzM2bMYPfu3Xh4\neNCrVy8iIyMJCAioOyZkzgjuddFsatsRZ39vCAwUl9UhIRAcTPt27SwdpiRJUuNwdYUXXySj6kUy\nbsLa4/DvM1fQ2x1nVsRxerkc5+nS43D2LFy+DHl59CWPvrVfvx8wNPzlLJ7Us7Ky8PHxoWvXrgCM\nHz+elJSUekmdUaPgqadYtdeH1HxvTJ7erDnQnTZdbH+D2KKaVapaJcdnu7Q8Nmj646tfEm7PO++E\nExoaXv+gsjIoLORm7lk2//Ec0T3P0eL8OSgpgZMnG/Q6Fp8o3bRpEzt37uTLL78EYM2aNRw+fJjl\ny5eLF5S7BUmSJP0qqkyUPixpN7W2u5IkSVpi8da7Hh4eFBcX1/29uLgYT9lQRZIkqVFYPKn37NmT\ngoICioqKMJlMbNiwgcjISEu/jCRJknQPFi+/ODo6smLFCoYMGYLZbCY2Nrb+JKkkSZJkNVbZ+WjY\nsGHk5+dz5swZ5syZc9fz8+fPR6/XYzAYiIiIqFeu0YLZs2cTEBCAXq9n9OjRXL9+Xe2QLGrjxo0E\nBgbi4OBAdm3nIg1IS0vD398fX19flixZonY4FjV58mTc3d0JDg5WOxSLKy4uZsCAAQQGBhIUFMSy\nZcvUDsmiKioqCAsLw2AwoNPp7plT61FUUFZWVvf5smXLlNjYWDXCsJpdu3YpZrNZURRFSUhIUBIS\nElSOyLLy8vKU/Px8JTw8XDly5Ija4VhEVVWV4u3trRQWFiomk0nR6/XKqVOn1A7LYjIzM5Xs7Gwl\nKChI7VAs7uLFi8rRo0cVRVGUGzduKH5+fpr62SmKoty8eVNRFEWprKxUwsLClH379t33WFX2KG3V\n6vb96OXl5XTo0EGNMKxm0KBB2Nf0dQgLC6OkpETliCzL398fPz8/tcOwqDvXVzg5OdWtr9CKfv36\n0bZtW7XDsIpOnTphMIjVOW5ubgQEBHDhwgWVo7IsV1dXAEwmE2azmXYPWJCp2sbTc+fOxcvLi+Tk\nZBITE9UKw+qSkpIYPny42mFID3H+/Hm6dOlS93dPT0/Onz+vYkTSr1FUVMTRo0cJCwtTOxSLqq6u\nxmAw4O7uzoABA9DpdPc91mpJfdCgQQQHB9/1sXXrVgAWLVrEzz//zKRJk3j99detFYbVPGx8IMbo\n7OxMTEyMipH+Og0Zn5bIRXG2r7y8nLFjx7J06VLc3B6/1W1TYm9vT05ODiUlJWRmZpJxr80malit\nS2N6enqDjouJibHJK9mHjW/16tVs376dPXv2NFJEltXQn59WyPUVtq2yspIxY8YwceJEoqKi1A7H\nalq3bs2IESP48ccf79uRUpXyS0FBQd3nKSkphIaGqhGG1aSlpfHJJ5+QkpKCi4uL2uFYlaKRFcJy\nfYXtUhSF2NhYdDod8fHxaodjcaWlpXUdKI1GI+np6Q/OmY0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"text": [ - "" + "" ] } ], - "prompt_number": 27 + "prompt_number": 29 }, { "cell_type": "markdown", @@ -1453,7 +1607,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 28 + "prompt_number": 30 }, { "cell_type": "code", @@ -1467,13 +1621,13 @@ "outputs": [ { "output_type": "pyout", - "prompt_number": 29, + "prompt_number": 31, "text": [ "['x', 'mean', 'sigma']" ] } ], - "prompt_number": 29 + "prompt_number": 31 }, { "cell_type": "code", @@ -1490,11 +1644,11 @@ "output_type": "display_data", "png": 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NG4HnniOJp3dvWlYRavhuqgHWyBlFsVeSMOnfrq46r3Fy/jwF8bNnScr44QeSVZTCzQ34\n8kugdm26zBg4kEbonTsrZxNTCJZWGNXwxRfA1auUUVeQrCwaGO7dC1y6ZH0bapBWdu8G3niDnktE\nZibQvj2QkgI8+CCwfbt6ppgKAbz0EvDxxzRS376dirIzsmJv7OQROaMarlyhiYdF4elJI/Hg4MLv\nWY7qb9wgKXf/fo3N/rx9m25spqQAYWGUMaKWIA5QCs+CBcC1a8Dy5cDjjwO7dpW+zCQjLTKkPhbC\nQbtRDL3nsjrKv9mzhZg40fr79szsLClS+zZypBChoULUqEEFuOzCaBSif3/K3W7USIjMTMnskfzY\nZWcL0acP2erjQwdFQfT+27M3dvLNToaRkORkKl9y9WoJbspOnUqXEdWrU/uhOnVktbFMuLoCK1cC\nDz8MpKVRiqJGC27pCdbIGdXwwQckrXzwQdHvF5dHrgYef5xm0nt4UJwrVh1ZuhSIjqYAuXUr0KWL\nQ+wsM//8A4SH083Z55+nCorWZlAxpYbzyBlNERNDFVmFAI4ezQuAlvr3rVvAp5/SzVC16t9ZWUDf\nvjRI3bu3mJWTkoC2bWnlzz6jKoRa4uhR4JFHqDTuwoXAuHFKW6Q7uNaKA9G7TucI/+ypk5KdLURq\nqrT7lcO3XbuEaN++mJWysoTw9SWHY2Ikt8GE7Mdu1SrywcVFiJ9/lndfRaD33569sZM1ckYVmPLE\n69Wznifu6kpltjWPEFT3+88/KUNl4UKlLSo9AwdS1USjERg8GPj3X6UtckpYWmFUQVYW0KEDySUf\nfaS0NWWj2DzyDz8EXnmFbm4eOUJ1d7VMdjblvx84APTpQw0rWC+XBJ6iz2gKT08quOfurrQlMnP0\nKFUvBGjGpNaDOECzP1eupBPTxo3AJ58obZHTwYFcAvRe70HP/knlm8FAvRhmzKD4/Pff9Drf5u/c\nobNVTg4QG0t3RWXGYceucWNgyRJ6/eqrlIPpAPT83SwJPLOTYSTAMovm/n2aYfrAAwVWmjoV+P13\nqu09e7aDLXQAAwYAo0YBixdTDfXDh6nBKiM7rJEzqqG4PHJN89NPVGjK1ZUaJrdurbRF8nDrFhAS\nQjdyX38dmDlTaYs0DeeRM5rAMk/8l1+o5EjXrurNEy8VWVk0kyktDXjrLeDNN5W2SF727AE6dgTK\nl6eTVni40hZpFs4jdyB6z2V1lH9GIz0ciUN8GzGCcq3btKFkeAei2Hfz5ZfJ58BAIe7ckW03ev/t\n2Rs7+WYnoxrKl6eHrti5k6avV6gALFtG0ooz8O671Dz199+B6dOVtkb3sLTCMHJx5w5JKmfOAG+/\nDUybprRFjmX/fqBdO8opP3wYCA1V2iLNwRo5wyjN5MmUndKiBXDkCAx7K5jvBxw5AjRvTnnzurof\nUJCXXqIZXuHhpJe7uChtkaZgjdyB6F2n07N/svl29CjVHylXToj9+wu93aiREH/9Jc+uLVH82F27\nJoSXF+nlH38s+eYV909m7I2delMkGUZ5jEYq52g0UkXAiAilLVKOatWARYvo9dSpQHq6svboFJZW\nGEZq4uKA0aMBb2+62efhUWiVxo0ptbxxYwXsU4I+fYCEBGpEsW6d0tZoBtbIGUYJLl2imZtXrwJr\n1gBPPlnkakUFcsucekt0oaGnpQFBQcDNm8CWLUCPHkpbpAm4aJYD0Xu9Bz37J7lvU6ZQEO/aFejf\nv8hVYmKowc7w4TRXyERkZF69lmrV6DFjRtmCuGqOnY8POQMA48dTHQMJUI1/CsOBnGGkYv9+4Isv\nqBrgxx9bLeWanAzcvUtN6K319bx+nR66YuxYulpJTtZ+rWKVwdIKU2p0LQWUFKORUuySkmhUPmuW\n1VVNfT2DgymYF9XX0zR4NT3rhsREklWqVqWAXq+e0hapGtbIGYdy/jywYQMNupySJUtoeO3jQzc4\nq1SxumpWFuDlRT09Q0KKXke3gRwAoqKA774Dhg2jmr+MVVgjdyB61+ns8S8zk2agaw1Jjt3169QS\nCKDSjTaCOEAj8Dp1SAOXG1V+N+fPzytZcOBAmTalSv8UgAM5w5SV994DLl4E2ralHpZlJCaGYtw3\n3+S/Gaob/Pyo1R1Aefa5ucraowNYWmEk4cgRCkBHjuT/u+519LNngcBA4N49Gl22aWPXx2zlkUdG\nknYOUK+Gb7+VzlzVcPMm3fi8cIHklWHDlLZIldgbO52kFBujFJYBu1s3Subw91fSIomZNImC+JAh\ndgfx4qhcmZ4bNAA++0ySTaoPDw+qQ/PMM1STpl8/x2hNOqVYaSUxMREBAQFo2rQpZhfRniohIQEh\nISEICwvDgw8+iJ9++kkWQ9WM3nW64vyLiaEOX2fO2JYCzp+nhutqokzH7uefadJPpUokrxS7r7w8\n8fr1gU8/LaKvJ4D4eJo788wzRWe0lARVfzeHDCE5KjOz1G2hVO2fA7E5IjcajYiNjcX27dvh5eWF\n8PBwREVFITAw0LxOly5d8MQTTwAATp48ib59++LMmTPyWs2oiuTkPEklJkanUkBBcnOBl1+m1xMm\nULZKMVhendjKRvH0JEmlILqTqcqVA+bNAx5+mG6Ajh5N6TxMibEZyA8ePAg/Pz80atQIADBo0CAk\nJCTkC+RVLO7Q37x5E7Vq1ZLHUhUTqclfkf0U559JCqhcWXtSQKmP3TffUI3t+vWB116T1CZrWAbs\n9HRgxAjKR7f9mUiZrSojbdtSGYO1a6le+9KlJfq46v1zEDYDeXp6OnwsRhre3t44UES60MaNGzFl\nyhRkZGRg27ZtRW5r2LBh5hOCp6cnQkNDzQfBdHnEy9pcHjPGgIsXgezsSHh6Fr3+3LlAamokXngB\nmDTJAA8P9dhf4uXEROCVVxAJALNmwXD4sOT7S00FGjWy/n5GBnD6tEr+H2Vd7tMH2LABkcuWAePH\nw/Dvv+qyz4HLBoMBy/7L4zXFS7uwVeN27dq1YsSIEeblFStWiNjYWKvr7969W/j7+5e6pq5W0XtN\nZHv8O3xYiFatrL/fsSOVpAaEGDBAMtPKTKmO3fvvkyOtWknaZHTnTiGmT6dHx470mD6d/l6Qv/6i\nmubFb7OID6uRsWPpf9q9e4k+phn/Som9sdPmiNzLywtpaWnm5bS0NHh7e1tdv3379sjJycGVK1fw\nwAMP2H82YXSPSX5p0UJ78ks+srIo2wIA3n9f0iajmtW6peDNN4GvvqIp/Nu3A126KG2RtrAV5bOz\ns0WTJk3E2bNnxb1790RISIg4depUvnXOnDkjcnNzhRBCHDlyRDRp0qTUZxVGuxQ3Ir96VYiqVYXY\nu9dxNsnC66/TyDEyUoj/vveOZuRIISIihKhUif6vuuG99+h/Gxoq6ZWOlrE3dtockbu6umLRokXo\n1q0bjEYjoqOjERgYiMWLFwMARo0ahXXr1mH58uVwc3ODh4cHVq1a5YDTD6MGLLMoMjLoYSq7WnBk\n6elJiR2aThXOzAQWLKDX775rtbqh3CQn581s11WW0EsvAZ98Ahw7RjeTn3lGaYu0g8wnFCGE/kfk\netfp7PHv5k0hfvvN9jpBQUL8+qs0NklFiY7dSy/RiLFXL9nssYcePciMChWKH5Fr7ru5bBk55+Mj\nxO3bxa6uOf9KiL2xk2utMJJQpQpNYtEt587RDB6ARuMKEh9PpXDr1Sv7hCHVMXQolYRMS6PROWMX\nXGuFcRjNm5MM0Ly50paUguhoynEePJgiqcKcPQt06kTPumPrVjpT1axJDmpajysbXI+cUQWWOvqW\nLUC7dkD16hrL0PjjD7rcKFeOao03baq0RfoO5EIAHTsCe/ZQNstbbyltkWLYHTtlknby4aDdKIbe\ndTo9+2eXb089RbptTIzs9tiL7vLIC7JnD/3PPTyEuHjR6mqa9c9O7I2drJEzjC2SkkgPqliRppAz\njuGRR0heuXnTZts8hmBphWFsYWqw+corVOBJQSxlqtu3qVVcly4ak6lKwrFjQFgYdRNKSQEaNlTa\nIofDGjnDlJU9e4AOHah29l9/AbVrK22R8zF4MLBqFd1s/vxzpa1xONyz04GYit7oDVP97GHDDOY6\n2kXVz9YyVo+dEMDUqfT61Vc1G8Q1/918+23AxYW6CP3xR6G3Ne+fRHAgZ6wSGWkK5ICrK+Drmzdz\nU/ckJlLjiJo18/pLMo6naVMajefm8j0KG7C0wtjFuHHUM3fcOKUtcQC5uUDr1nSjc84cahzBKEd6\nOo0i7t2jDiatWiltkcNgaYVhSsu6dRTEGzQAXnxRaWsYLy8gNpZem+QuJh8cyCVA7zqdnv0r5FtO\nTt4l/JtvUj9ODaObYzd5MlC1KvDDD8CuXeY/68a/MsKBnCmWuXOB9euBuDjbzZV1wfLldFOtSRPg\n+eeVtoYxUatWnsQ1ZQrdjGbMsEbOFEtkZN4gaMAAHZVNLci9e3RzLS0N+Ppr6vLOqIcbN+gEe/ky\n8P33QM+eSlskO6yRM5Jh6u7TsKHGu/sUx+LFFMRbtqT8ZUZdVK2ap5G//jrdlGYAcCCXBL3rdGPG\nGODnB4werb+yqeZjd/NmXnnamTMlbeGmJLr7bo4eTTc/jx8H1q7Vn3+lRB/fVkZWPDyAHj3yRua6\nZOFC4OJFICIC6N1baWsYa7i7001ogG5KG43K2qMSWCNn7ELXeeT//kva67VrwI4dVB9Wo1jWY7FE\nV/VYsrOBwEDgzz+pRvzw4UpbJBv2xk6bPTsZximYM4eCeJcumg7iQP6APXYsMHIkEByspEUy4OZG\nNcqHDqWpxk8/TdUpnRiWViRArzqdZa2VX38Fdu7UYa2V9etJVgEUb+EmNceO6fe7iUGDgBYtYDh3\nDliyRGlrFIdH5IxVTKM7g0FHl+UFWbECuHMH6NMHaNNGaWsYe3FxAd55B+jbl25ODx9OjWOdFNbI\nGefl7FmgWTOazXnypEabiVqnfXvqydC+vdKWyIQQdHP60CHg/feBSZOUtkhyOI+cYYrjrbfoxtnQ\noboL4jExdG6aOFHHs3HLlcuTw2bP1rGjxcOBXAJ0q0P+hy79O3UKWLECBhcXEv51RnIy3b89cMCA\nmBilrZEPg6sr6X5XrwLz5yttjmJwIGeck2nTaGZgz56UeqgznGY2ruWofP58mgvghLBGzjgfhw7R\njc1KlSgXuX59pS2SnKwsKhvz1VfUdlT39OoFbN4MvPyyrkbmrJEzjDXeeIOex47VZRAHqJRCQACV\nJ3EKZs6k5//9Dzh/XllbFIADuQToUkO2QFf+GQzAtm1AtWrAa6/py7ciSEoyKG2CrJiPX2go8NRT\nVMHynXcUtUkJOI+ccR4sGypPmAA88ICy9siA5RT9c+eArVupAoGupuhb4+23gbVradr+xIlUU8JJ\nYI2ccR6+/54KYtWuTdq4znWH1auBRx6hYoFOw/PPA19+SbXkv/5aaWvKjL2xkwM54xzk5gJhYcCJ\nE8CHHwLjxyttESMHf/9Nd3lzcuhYt2ihtEVlgm92OhCt6qymWioFHwXd0ap/+fj2W/ph+/gAL7xg\n/rMufLOB0/n3f/9Hx1eIvN6rTgBr5E6MpW46fDjwySc6rTmenZ33o54+nWpaM/pl6lTg88+BjRsp\n1TQ8XGmLZIelFQYAUL063RyrXl1pS2Tgs8+AUaPokvvUKcDVeccvljdDL13Ka4Opu5uhU6ZQ/ZWu\nXSlLSaOwRs6UCN0G8tu3KYBfuACsWgUMHKi0Rarh88+B/fvpWXf8+y/QuDFw/TrVX9boWYo1cgfi\ndDqklvj4YwrirVoBAwYUelvTvtmB0/pXsyalIALUqFnnA8liA3liYiICAgLQtGlTzJ49u9D733zz\nDUJCQhAcHIx27drhxIkTshjKyEdMDHDrFsU5XRWQu3qVLq8BetZJQ2XGTl56CahVC9i7F9iyRWlr\n5EXYICcnR/j6+oqzZ8+K+/fvi5CQEHHq1Kl86+zdu1dkZWUJIYTYunWriIiIKLSdYnbDKEzHjkLQ\nkEWIAQOUtkZCJk0ipzp1EiI3V2lrVMXIkUL4+wvh7S3E1atKWyMj8+fTdyA0VAijUWlrSoy9sdPm\nEOXgwYPw8/NDo0aN4ObmhkGDBiEhISHfOm3btkX1/4TViIgInHfCOgdax5Sp0qqVjirlpafntXB7\n/32qkseKztfAAAAcAUlEQVSYSU6mx/nz0HWZW4weTTOijh2jWZ86xebt+/T0dPj4+JiXvb29ceDA\nAavrf/HFF3jcSqm1YcOGoVGjRgAAT09PhIaGIvK/GxAmnUurywsWLNC0P2PGGLBtG7BhQyQ8PXXi\n37x5iLx7F+jfH4ZbtwCDocj1LTVWVdkv0bI1/+7cAYBI1KoFPPusAdTOT3l7pfLPvOzuDsPAgcD8\n+Yh8802gXz8Yfv5ZNfYX5c+yZcsAwBwv7cLWcH3t2rVixIgR5uUVK1aI2NjYItf96aefRGBgoPj3\n339LfXmgVXbu3Km0CWWmWjUh/lPICqE5/06fFsLFhR6nT9tcVXO+lRBr/l29KkTr1kIMHepYe6TG\nruN3/74Qvr4ksSxdKrtNUmJv7LQprXh5eSEtLc28nJaWBm9v70LrnThxAiNHjsSmTZtQo0YN+88i\nOsF0ZtUrmvPvjTcAo5FmOTVrZnNVzflWQqz55+lJqfUVKzrWHqmx6/i5uVFbP4CmLt+7J6dJimBT\nWmndujVSUlKQmpqKBg0aYPXq1Vi5cmW+dc6dO4d+/frh66+/hp8TVRvTA5aTQx54gNoeVqig8ckh\nhw6RFuruTrM4GQYABg2ieyW//ko1y19+WWmLpKW4IfuWLVuEv7+/8PX1FbNmzRJCCBEXFyfi4uKE\nEEJER0eLmjVritDQUBEaGirCw8NLfXmgVZz18lyVdO5Ml9ATJ9q1uqZ8KwUF/du5U4jp0+nRp48Q\nbdrQa63+G0p0/DZvpu9GjRpCFCEBqxF7Y2exc5V79OiBHj165PvbqFGjzK8///xzfK7LqWHaxnK0\nbYmmR9vFsX07sGMHTU+dPFlpa1SJro9/cfToATz6KM30fP99ugTVCTxF3wnYs4fmQ7z3ntKWyEhu\nLvXhPHIEmDWLam0wTEEOH6YiWhUrUv5lw4ZKW2QTnqLPmLlyBfj9d6WtkJnVqymI16tHM/oYpiha\ntya9/N49XZW55UAuAYaiNAwdoXr/7t7NG4G/806JavGq3rcywv4VwbvvUibLihU0UUgHcCDXOTEx\nlI23b5/O6qhY8tFH1BmmZUtKOWQYWzRpArz4IlWlmDRJaWskgTVynRMZCezaRa8HDKBGObri0iVq\nsnv9OvDDD8BjjyltkaYpeJP8yhVKTdXdTdIrVwBfX+DaNVV/b7geOQMAePxx6qTu6QmcPUvPuiI2\nllobde9OjjKSkZ1NKlV2ttKWyMTs2ZTdFBICHD2qyuqYfLPTgahZh4yPBx5+mB6lDeKq9e+PP4C4\nOPoBzplTqk2o1jeJYP9sMG4c4O0NHD8OfPWVZDYpAQdynePpSfX13dyUtkQGXnuNpuJHR2u+Wzqj\nAJUq5dWrnzqV+t5pFJZWNEpJJvxs3AgsW0bPusFgoMkdHh5ASgqlHTKSERNDFzy7d1N/Dt1JciZy\nc+ly9cABynyaNUtpi/LBGrkTMXYsEBVFfWZNWAb6lBTg5EmgXz+d3LSynPzzzjuUlsNIiu5vklty\n4ADw0EM0Sej336nXp0qwO3ZKWBbAKg7ajWIoXa+jb18h1q2Tb/tK+1eIpUupZoaXlxC3bpVpU6rz\nTWJK61+PHnldo9TcQUiy4zd0KDnbv78025MIe2Mna+SMtrh2La+OygcflGjyD2M/8fHAk08CLi46\nllUsee89+i6tW5d3KaIhWFrRODExwIYNgI8P8NNPTvCje+UV4MMPgXbtqIgMt3CTDd2nHxbk7bep\n9HFoKNVkcXFR2iLWyJ0Fp9IyT52inF+jkfTxsDClLdIdlvdWcnNpNvu0aTq5t1Ict28DAQFAWhqw\nZAkwYoTSFrFG7kiU1FlNWqavr3xapip05NxcIbp0IWdfeEGyzarCNxkpi39GoxA7dkhnixxIfvxW\nrqTvWJ061nsfOhB7Yydr5BonPh5o0ICuCHUtq2zcSPXGa9SgTBVGdsqXBzp1UtoKBzNwIKUjXrxI\nbeE0AksrOqBfP2DoUHrWJXfuAEFBQGoqsGgRFTxiGLk4dgx48EF6feQIaeYKwRq5zrHUMlevBoKD\ngcBAnWqZpptQwcH0w3IttrEVw5SNl16iqppt2wI//6xYHRYO5A7EYDAo2o390CEqGVG/vjzbV9S/\n1FQajd+5Q2eujh0l3bzSx05u5PBPTW0EZTt+167Rjc9//gG++AJ4/nnp92EH9sZOHtrogPBwpS2Q\nCSFIRrlzh7q6SBzEmdJhGbAXLKCmO488oqRFMlC9OjBvHjBkCNX0eeIJquerUnhEzqiXNWuAp56i\nH9Xp01xPRYUMHkzlIQYPVtoSGRAC6NyZmjXHxACLFzvcBB6RaxjLS1chgMxMimG61L+tkZVFZUYB\nqhvNQZxxNOXKUa37kBDKKx8+nGqyqBGJ0x6LxEG7UQw5c5GvXxfCw0O2zduFIrnWo0dTPu/DD1NC\ns0xwHnnpGTmS0q1DQpSrx+KQ4zd5Mn0Xw8KEyMmRf38W2Bs7OY+cUR/79lHDCFdXupxVYecWBkhO\npnTr48dJedAtb7wBNGwIJCUBCxcqbU2RsEauYmJiqKrmvn3A5cs6n/BjIjsbaNUK+PVXVdaHZvIw\ntRFs0oSyQnX9/dy8GejVi5pRnDhBfWIdALd60wHJyZTCajTqfMRjybx5FMSbNKEiH4xqiY+nYm1T\npug8iANAz56UwXLnDtVgyc1V2qJ8cCCXALn6IpoqtJYvD3z2mSy7sAuH9X3880/grbfodVwcjX5k\nhntalh5PTypCWaWKbLsoFocev4ULgTp1qEqdkj/IIuBArmLi44G+fSme6X7Ek5tLky7u3qWRj2W7\nI0ZVGAxUhmTGDCoUuHkzvdb5OZHyyBctotevvUbOqwTWyFXOjRtUFEvDfWHt46OPaFp03brAb7+p\nevIF48QIAfTvT00AevSgs5iMNfF5ir6Gscwjv3+fZOMpU3ScR37mDNVRuXOHfiB9+ihtEVMG1DSF\nXxYyMqhsRFYW8NVXwLPPyrYrrkfuQOTMZTUahTh/XrbN24WsubpGoxDt21Oe7pAh8u3HCpxHLi+7\ndgkRHS3f9hXzb9ky+s7WqCFERoZsu7E3drJGrnLKlwe8vJS2QkY++ohattWrR68ZXXH7NnD+vNJW\nyMCzzwLduwNXrwLR0SS5KAhLK4xynDxJFb/u3QMSEqhoB6MbYmKA/ftJiUhJ0eEN+/R0oGVLCub/\n+x8werTku+A8ckbdmLJT7t2jvFwO4rojOZnO1Zcv63QehJcXpckCwKuvAn/8oZgpHMglgHORS8Hr\nr9Ov3M8P+PBD6bdvJ3zs5MM0D6JaNfnSrhU/fk89Re257tyh5+xsRcwoNpAnJiYiICAATZs2xezZ\nswu9f/r0abRt2xbu7u6YN2+eLEYyOmP7dmD+fMDFBfj6a8DDQ2mLGBmIjwfat6d65bqTVSxZtIhq\nsRw+TN2sFMCmRm40GtGsWTNs374dXl5eCA8Px8qVKxEYGGhe59KlS/j777+xceNG1KhRA6+++mrh\nnbBGzpi4dIl6IF64QF96noavaxITqflEYqLSlsjM7t15uZU//kh1zCVAknrkBw8ehJ+fHxo1agQA\nGDRoEBISEvIF8tq1a6N27dr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"text": [ - "" + "" ] } ], - "prompt_number": 30 + "prompt_number": 32 }, { "cell_type": "code", @@ -1577,7 +1731,7 @@ "\n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -1613,7 +1767,19 @@ " \n", " \n", "
+NameValueParab Error
\n", - " " + " \n", + " 
\n",
+        "            \n",
+        "
\n", + " " ], "output_type": "display_data" }, @@ -1627,11 +1793,11 @@ "output_type": "display_data", "png": 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W9FrKhAlaRalYAzWPXLGoM2fkRvfDhuVyY6dOEBEhV3LOnm3x2KxNUhK4usKO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\nvgzN4xczZlUwIdWPax2aJtRAbqqLF2U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"text": [ - "" + "" ] } ], - "prompt_number": 31 + "prompt_number": 33 }, { "cell_type": "markdown", @@ -1650,7 +1816,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 32 + "prompt_number": 34 }, { "cell_type": "code", @@ -1667,7 +1833,7 @@ "outputs": [ { "output_type": "pyout", - "prompt_number": 33, + "prompt_number": 35, "text": [ "" ] @@ -1676,11 +1842,11 @@ "output_type": "display_data", "png": 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"text": [ - "" + "" ] } ], - "prompt_number": 33 + "prompt_number": 35 }, { "cell_type": "code", @@ -1693,7 +1859,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 34 + "prompt_number": 36 }, { "cell_type": "code", @@ -1710,11 +1876,11 @@ "output_type": "display_data", "png": 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kJARxcXEAgLi4OHXwDwkJQUJCAkpLS5GRkYH09HQEBAQYqfiW79FUhS2juhBQ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\nhrw9XepCKuUdpcysmbverOVzIRajtZM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"text": [ - "" + "" ] } ], - "prompt_number": 35 + "prompt_number": 37 }, { "cell_type": "code", @@ -1797,7 +1963,7 @@ "\n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -1845,7 +2011,21 @@ " \n", " \n", "
+NameValueParab Error
\n", - " " + " \n", + " 
\n",
+        "            \n",
+        "
\n", + " " ], "output_type": "display_data" }, @@ -1859,11 +2039,11 @@ "output_type": "display_data", "png": 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uuvz22285zuTzMvB5zY7v3btHfHw8oMx0d+zYkS19wqPtk5KSSElJARSjfPjw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\n6Jf3hidJdqS7RlI27N4Nffsquej/9z/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"text": [ - "" + "" ] } ], - "prompt_number": 36 + "prompt_number": 38 }, { "cell_type": "markdown", @@ -1882,7 +2062,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 37 + "prompt_number": 39 }, { "cell_type": "code", @@ -1895,7 +2075,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 38 + "prompt_number": 40 }, { "cell_type": "code", @@ -1911,11 +2091,11 @@ "output_type": "display_data", "png": 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hRj/pgK0xJY69GN96SyZssdkgKwuSkqSrd2EH3O++k3c3DNiON57Tp+UV93dv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\nwcEiU0ydKvJHZKTIhtdcI7XcFi1knKi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wae1oDY5j2yQs2BKjxDiaVMjKVzrB1miktaMFtFotC7YRyOp6MhIWbIYxlaIi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\nFBQkXL58WRAEQSgoKBCCgoJ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wS1eAuEIsyLiCjuVXgA8LjZtr3LEjiXJAACXf9u/f8LxP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\n", "text": [ - "" + "" ] } ], - "prompt_number": 45 + "prompt_number": 47 }, { "cell_type": "code", "collapsed": false, "input": [ - "%timeit -n1 -r1 m.migrad(); #we will talk about speed later;" + "%timeit -n1 -r1 m.migrad();" ], "language": "python", "metadata": {}, @@ -2111,7 +2291,7 @@ "\n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -2147,7 +2327,19 @@ " \n", " \n", "
+NameValueParab Error
\n", - " " + " \n", + " 
\n",
+        "            \n",
+        "
\n", + " " ], "output_type": "display_data" }, @@ -2161,11 +2353,11 @@ "output_type": "stream", "stream": "stdout", "text": [ - "1 loops, best of 1: 130 ms per loop\n" + "1 loops, best of 1: 142 ms per loop\n" ] } ], - "prompt_number": 46 + "prompt_number": 48 }, { "cell_type": "code", @@ -2180,11 +2372,11 @@ "output_type": "display_data", "png": 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9xVtvvUVBpWZIVlYWPhWdNT4+PmRlZVV5b2JiIgEBAQB4eHgQFRVl/hliclZT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\nKHSCEmyFQqHQCUqwFQqFQif8fw5AYU531fdhAAAAAElFTkSuQmCC\n", "text": [ - "" + "" ] } ], - "prompt_number": 47 + "prompt_number": 49 }, { "cell_type": "code", @@ -2267,14 +2459,14 @@ }, { "output_type": "pyout", - "prompt_number": 48, + "prompt_number": 50, "text": [ "{'gamma': {'lower_new_min': False, 'upper': 0.00030471536910134004, 'lower': -0.00029592035887724555, 'at_lower_limit': False, 'min': 0.01151186448673394, 'at_lower_max_fcn': False, 'is_valid': True, 'upper_new_min': False, 'at_upper_limit': False, 'lower_valid': True, 'upper_valid': True, 'at_upper_max_fcn': False, 'nfcn': 12L},\n", " 'm': {'lower_new_min': False, 'upper': 0.00013462793392262257, 'lower': -0.00013438423132646268, 'at_lower_limit': False, 'min': 1.8690871087182035, 'at_lower_max_fcn': False, 'is_valid': True, 'upper_new_min': False, 'at_upper_limit': False, 'lower_valid': True, 'upper_valid': True, 'at_upper_max_fcn': False, 'nfcn': 14L}}" ] } ], - "prompt_number": 48 + "prompt_number": 50 }, { "cell_type": "code", @@ -2290,7 +2482,7 @@ "\n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -2326,12 +2518,24 @@ " \n", " \n", "
+NameValueParab Error
\n", - " " + " \n", + " 
\n",
+        "            \n",
+        "
\n", + " " ], "output_type": "display_data" } ], - "prompt_number": 49 + "prompt_number": 51 }, { "cell_type": "markdown", @@ -2352,7 +2556,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 50 + "prompt_number": 52 }, { "cell_type": "code", @@ -2365,13 +2569,13 @@ "outputs": [ { "output_type": "pyout", - "prompt_number": 51, + "prompt_number": 53, "text": [ "['x', 'm', 'c']" ] } ], - "prompt_number": 51 + "prompt_number": 53 }, { "cell_type": "code", @@ -2385,13 +2589,13 @@ "outputs": [ { "output_type": "pyout", - "prompt_number": 52, + "prompt_number": 54, "text": [ "['x', 'm', 'gamma']" ] } ], - "prompt_number": 52 + "prompt_number": 54 }, { "cell_type": "code", @@ -2403,7 +2607,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 53 + "prompt_number": 55 }, { "cell_type": "code", @@ -2416,13 +2620,13 @@ "outputs": [ { "output_type": "pyout", - "prompt_number": 54, + "prompt_number": 56, "text": [ "['x', 'mass', 'gamma']" ] } ], - "prompt_number": 54 + "prompt_number": 56 }, { "cell_type": "code", @@ -2439,13 +2643,13 @@ "outputs": [ { "output_type": "pyout", - "prompt_number": 55, + "prompt_number": 57, "text": [ "['x', 'mass', 'gamma', 'm', 'c', 'f_0']" ] } ], - "prompt_number": 55 + "prompt_number": 57 }, { "cell_type": "code", @@ -2473,11 +2677,11 @@ "output_type": "display_data", "png": 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0kPM2NmkC991X85m8PDxKWtdt2pRTwIYPHlWdsgw9+kn1ElHUb7KzaXLqKJdd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\nOuH/A2ZycKJE86caAAAAAElFTkSuQmCC\n", "text": [ - "" + "" ] } ], - "prompt_number": 56 + "prompt_number": 58 }, { "cell_type": "code", @@ -2492,8 +2696,8 @@ "output_type": "stream", "stream": "stderr", "text": [ - "-c:1: SmallIntegralWarning: (1.8630708456039429, 1.87, -0.061271722088405055)\n", - "-c:1: SmallIntegralWarning: (1.8630708456039429, -1.0943332033220972, 1.0)\n" + "-c:1: SmallIntegralWarning: (1.8630708456039429, 1.87, -0.09079225177349604)\n", + "-c:1: SmallIntegralWarning: (1.8630708456039429, 0.0, -0.007922517734960222)\n" ] }, { @@ -2507,14 +2711,14 @@ "\n", " \n", " \n", - " \n", - " \n", - " \n", + " \n", + " \n", + " \n", " \n", " \n", - " \n", - " \n", - " \n", + " \n", + " \n", + " \n", " \n", "
FCN = -21505.997913NFCN = 180NCALLS = 180FCN = -21505.9979204NFCN = 248NCALLS = 248
EDM = 7.62324746611e-06GOAL EDM = 1e-05UP = 1.0EDM = 4.16787410874e-09GOAL EDM = 5e-06UP = 0.5
\n", " \n", @@ -2557,7 +2761,7 @@ "\n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -2572,7 +2776,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -2583,8 +2787,8 @@ " \n", " \n", " \n", - " \n", - " \n", + " \n", + " \n", " \n", " \n", " \n", @@ -2595,8 +2799,8 @@ " \n", " \n", " \n", - " \n", - " \n", + " \n", + " \n", " \n", " \n", " \n", @@ -2607,8 +2811,8 @@ " \n", " \n", " \n", - " \n", - " \n", + " \n", + " \n", " \n", " \n", " \n", @@ -2619,8 +2823,8 @@ " \n", " \n", " \n", - " \n", - " \n", + " \n", + " \n", " \n", " \n", " \n", @@ -2629,7 +2833,25 @@ " \n", " \n", "
+NameValueParab Error1mass1.869398e+002.000145e-041.414321e-040.000000e+000.000000e+00
2gamma1.081134e-025.526695e-041.081224e-023.908496e-040.000000e+000.000000e+00
3m-4.619070e-015.584255e-02-4.677901e-013.999174e-020.000000e+000.000000e+00
4c1.028157e+001.242495e-011.041123e+008.896113e-020.000000e+000.000000e+00
5f_05.347821e-011.809059e-025.347971e-011.279253e-020.000000e+000.000000e+00
\n", - " " + " \n", + " 
\n",
+        "            \n",
+        "
\n", + " " ], "output_type": "display_data" }, @@ -2640,7 +2862,7 @@ "output_type": "display_data" } ], - "prompt_number": 57 + "prompt_number": 59 }, { "cell_type": "code", @@ -2653,13 +2875,13 @@ "outputs": [ { "output_type": "display_data", - "png": 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Ll/PGG28YlPOJJ54wmBkZHR1dqm3R+h3VqlWjdu3aXL58uVSbopmJzZs35+zZsyZ1de7c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\nVyTICIZXo6CwBK7erjB/v0KJ0KCfpOHOXxUMaDAqGoRiBRo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t21fvtJjNmzcTEhKCnZ2dGkBiDhEREaSmphIWFoaXlxfPPfcc+brzp0pgLM/J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\nrkJggg==\n", "text": [ - "" + "" ] } ], - "prompt_number": 58 + "prompt_number": 60 }, { "cell_type": "code", @@ -2675,36 +2897,46 @@ "\n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", @@ -2833,52 +3065,33 @@ " \n", " \n", " \n", - "
+\n", - " \n", + "
\n", + "
\n", " mass\n", - " \n", + "
\n", + "
\n", " 		\n", - " \n", + "
\n", + "
\n", " gamma\n", - " \n", + "
\n", + "
\n", " 		\n", - " \n", + "
\n", + "
\n", " m\n", - " \n", + "
\n", + "
\n", " 		\n", - " \n", + "
\n", + "
\n", " c\n", - " \n", + "
\n", + "
\n", " 		\n", - " \n", + "
\n", + "
\n", " f_0\n", - " \n", + "
\n", + "
\n", "
" + " \n", + "\n", + " 
\n",
+        "            \n",
+        "
\n", + " " ], "output_type": "display_data" } ], - "prompt_number": 59 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "m.draw_profile('mass');#not exactly minos profile just a simple scan" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "png": 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5KJLgkcFw34nisd+O4d9Bjdvdx51bybdIvpwMwHeffafuoxGL2PzfzVmSRaY/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\nN8/1bG2qYGGbHBwVnp28kbKVk1nzer9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- "text": [ - "" - ] - } - ], - "prompt_number": 62 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "m.draw_contour('mass','f_0', show_sigma=False);\n", - "#not exactly minos contour though just a 2d scan\n", - "#Matt Bellis already signed up for this task.;" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "png": 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4ePEiunTpIl/ZURUupEJYjKECPHnyBN26dcOWLVuK5VRn8AeZDIiJ+e+p4O5d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\nPn2KsLAwXLp0CWFhYXjx4gW6dOmC7t27o0ePHmj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- "text": [ - "" - ] - } - ], - "prompt_number": 63 + "prompt_number": 61 }, { "cell_type": "markdown", @@ -2894,7 +3107,7 @@ "m.migrad()\n", "```\n", "\n", - "If your PDF is more complicated than what you can do with AddPDF and AddPDFNorm. It might be\n", + "If your PDF is more complicated than what you can do with AddPDF and AddPDFNorm, it might be\n", "easier to write it out manually." ] }, @@ -2932,7 +3145,7 @@ "output_type": "display_data", "png": 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xQQsc342jFh+a6mTs2QM88wxPIxw/Hjh4EHj6acDDgwOcAwOBr77iC0LNmvBc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\nRK5CYII=\n", "text": [ - "" + "" ] } ], @@ -3017,6 +3230,7 @@ "output_type": "stream", "stream": "stderr", "text": [ + "-c:1: InitialParamWarning: errordef is not given. Default to 1.\n", "-c:1: InitialParamWarning: Parameter mu1 is floating but does not have initial step size. Assume 1.\n", "-c:1: InitialParamWarning: Parameter sigma is floating but does not have initial step size. Assume 1.\n", "-c:1: InitialParamWarning: Parameter mu2 is floating but does not have initial step size. Assume 1.\n" @@ -3095,7 +3309,7 @@ "\n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -3143,7 +3357,21 @@ " \n", " \n", "
+NameValueParab Error
\n", - " " + " \n", + " 
\n",
+        "            \n",
+        "
\n", + " " ], "output_type": "display_data" }, @@ -3169,7 +3397,7 @@ "output_type": "display_data", "png": 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ThaGD8NRVwy+/2E+HA22oOXtlfA72sGFue7frhfSrPkqNWxsye9xslo1zQbcD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\nCQkJAcDPz4/4+HjDyaj7ueOs2y89t5070o9xBxr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Lp4+Rl+cbYOBPTxjY/Gkmh/MNLF44gO0bj7f53pmWzTQ+Z/BQu1+D74DQYA9t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\nSlqaZLOEEAIQ+ANyQ96Na8wUrTUjBNRWq6mvU7Dw6RjyChoYd0pDMMW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"text": [ - "" + "" ] } ], @@ -3290,14 +3518,14 @@ "\n", " \n", " \n", - " \n", - " \n", - " \n", + " \n", + " \n", + " \n", " \n", " \n", - " \n", - " \n", - " \n", + " \n", + " \n", + " \n", " \n", "
FCN = -2756.99864951NFCN = 445NCALLS = 445FCN = -2756.9986626NFCN = 472NCALLS = 472
EDM = 6.73185334957e-07GOAL EDM = 1e-05UP = 1.0EDM = 3.10277679189e-07GOAL EDM = 5e-06UP = 0.5
\n", " \n", @@ -3340,7 +3568,7 @@ "\n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -3355,7 +3583,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -3366,8 +3594,8 @@ " \n", " \n", " \n", - " \n", - " \n", + " \n", + " \n", " \n", " \n", " \n", @@ -3378,8 +3606,8 @@ " \n", " \n", " \n", - " \n", - " \n", + " \n", + " \n", " \n", " \n", " \n", @@ -3390,8 +3618,8 @@ " \n", " \n", " \n", - " \n", - " \n", + " \n", + " \n", " \n", " \n", " \n", @@ -3402,8 +3630,8 @@ " \n", " \n", " \n", - " \n", - " \n", + " \n", + " \n", " \n", " \n", " \n", @@ -3412,7 +3640,25 @@ " \n", " \n", "
+NameValueParab Error1mass1.870038e+004.659571e-043.294864e-040.000000e+000.000000e+00
2gamma9.423680e-031.382867e-039.423832e-039.778754e-040.000000e+000.000000e+00
3m1.754049e+031.999998e+004.031586e+031.414212e+000.000000e+000.000000e+00
4c2.693495e+031.999998e+006.188177e+031.414212e+000.000000e+000.000000e+00
5f_05.332627e-014.898635e-025.332493e-013.463870e-020.000000e+000.000000e+00
\n", - " " + " \n", + " 
\n",
+        "            \n",
+        "
\n", + " " ], "output_type": "display_data" }, @@ -3424,9 +3670,9 @@ }, { "output_type": "display_data", - "png": 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bNxbIExkZKXx8fERaWpqIjo4Wrq6uIjMzU92/evVqMXLkSOHl5aVuCwkJEV99\n9ZUQQohTp04JZ2dnIYQQf/zxhwgODhaZmZkiOTlZdOzYUdy9e1ds27ZNODk5iXPnzgkhhJg5c6ZY\nvHix3mtnaPL1Y588WQgQYswYIYQQjz4aLpYsyd6XkCBEjRrK/uyAbqaCufS7ljq1RQvbadIt9nHj\nxvHPP//Qt29fNb7Kg6xbt46QkBBACYiVkJBAbGxsuY5bmjqFnkemWrVqqesPBgSrWbMmAGlpaWRm\nZqr92MsaRCwmJoa7d++qMWuee+451q5dWyDf77//zogRI7C1tcXZ2ZlWrVqpfd+TkpL45JNPeOut\nt/KdT9OmTblz5w4ACQkJODo6AnD69Gm6d++OtbU1NWvWxNvbm40bN5KYmEjVqlVp1aoVAL1792b1\n6tUlOg+DIQTkaNDXcb1ePXjqKWVdwzESEokxMWnD/tVXX9GsWTN0Oh0TJ07Um+fq1as4OTmp6ebN\nm+uNdvj000/rnUBaX96S1gnKwCQfHx8mTZpEWlqaun3t2rW0bduWfv36qcHFALKysvD19cXe3p5H\nHnlEHfgEShCxFi1asHTpUqZNmwYoA5xef/11/Pz8+Prrr5k5c6aqPT4+nqtXr6pRKAEcHR3VKJV5\nuXbtWr58zZs359q1a4DiBpo8ebL6p5P33JYtW4aTkxMDBgzg888/B8DHx4dNmzaRkpJCXFwc4eHh\nXLlyhcGDB5ORkcGRI0cA+PXXXzWNS18mjh+H6Giwt4cuXQBwcAjKn+f555XPFSuUPwITwVzih0ud\npodJG/aS8mCr2crKqkCesLAwjh07VmB59tlny1znvHnziIqK4tChQ8THx/P++++r+wYPHszp06dZ\nv359vvcD1tbWHD9+nCtXrrBz5858XbDmzJnDpUuXGD16tBqx0svLS9U6btw4Zs+erabLGxlSCMHx\n48f5559/GDRoUIFznjRpEi+88AKXL1/mzz//VK9VcHAw/fv3p0uXLowcOZLAwECsrZWvUlhYGK+/\n/joBAQHUrVsXGxubcmksNzmt9SeegMK0PPywYvgvX4bIyIrTJpEYCLM37I6OjvlahVeuXFFdBnkZ\nPny43hb7jBkzylyng4MDAFWrVmX06NF6h/V369aNjIwMbt26lW97vXr1GDBgAIcPHy5QZuTIkRw6\ndEhNF9X/1tHRMd/TRGFa9Z1T8+bN2b9/P4cPH8bFxYVu3boRFRVFz549Adi7dy/Dhg0DoHPnzqSm\nphIXFwccEvpsAAAgAElEQVQoAdCOHTvG5s2bEULQunVrdDodnTt3ZufOnRw4cIBu3brRunXrQrVX\nCDmGfehQddP167r8eaytoV8/Zf3PPytGVwkwl37XUqfpYfaGfeDAgSxfvhyA/fv3Y2dnh729fYF8\nP//8s94We58+fcpcZ0xMDKC0fNesWaP2KLlw4YLa+j169CgADRs2JC4ujoSEBABSUlLYsmULfn5+\ngBIDPofff/9d3Z6XWbNmFYg707RpU+rWrcuBAwcQQrBixQoGDx6s95zCwsJIS0sjOjqac+fO0alT\nJ8aNG8fVq1eJjo5m9+7duLu7q7142rRpw9atWwHFr56amkqjRo3IyspS/6giIiKIiIhQr+PNmzcB\nuH//PgsWLGDcuHEFtFQUze6dgzNnoEED6NGj6Mw50ThNyLBLJGWm3K9fC0Grql1cXIqN6vjyyy8L\nV1dX4e3tLY4cOaLJcQurs3///iImJkYIIUTPnj2Fl5eX8PT0FKNGjVJ7vLz//vuiXbt2wtfXVzz8\n8MPi4MGDQgilh4yfn5/w8fERXl5eYsGCBWq9Q4cOFZ6ensLHx0cMGTJEjSIZEREhfH199S7x8fFC\nCCEOHz4sPD09haurq3j11VfVOtetWydmzpyppufMmSNcXV1F69atxaZNmwqcc3R0dL5eMefPnxc9\nevQQPj4+wtfXV2zZskUIIURKSorw8PAQHh4eIjAwUJw4cUIt88Ybb4i2bduK1q1bi4ULF5bx6pef\nv/4SYmGbRUpvl+HD8+0LCRG5vWJyuH1bCBsbZcmedlAiMQZa2E45QElSKdm8GaqPeoruN36Fr7+G\nF19U94WGogxQCn2gUPfusGuXMkL1yScrUK1EkotFDFAyNObgdzMHjWBiOrOy8Lkdrqz36pVvVwEf\new45fnY9g7eMgUldzyKQOk2PEhn2zMxM/Pz8ePzxxwGIj48nODgYd3d3+vTpo/qNDcnSpUsLvPh8\n9dVXDX5ciXlSJzqCeum3oEULaNmyZIUeeUT53LXLcMIkkgqgRK6Yjz/+mCNHjnD37l3WrVvHlClT\naNSoEVOmTOH999/n9u3bzJ8/P3/F0hUjMSJnX/yI1t9OhtGjCww8KtQVk5YG9evDvXtw/brSBVIi\nqWAqxBVz5coV/vzzT1544QX1YHlHZoaEhOgd6SiRGJMGJ5SePWR33XyQb76B5557YHmhKmcbKLNp\nyVa7xJwpdmq8119/nQ8++IDExER1W2xsrNr9z97evtDh9qGhoTg7OwNgZ2eHr6+vOvorx99l7HTO\nNlPRoy/9oFZj6yksffz4cXWEsFH1ZGVx4uROqgBB2d0c8+4PCtLRtCkAtG2rlD99Wtn/49XuvMs2\ndD/+CI0ayespv58GT+t0OpYuXQqg2styU1SXmfXr14vx48cLIZQAOo899pgQQgg7O7t8+erXr1+g\nbDFVmwzmEBjIHDQKYUI6z5wRAsTNas307i5KZ0+bcKWLpI+PYbSVApO5nsUgdWqLFrazSB/7jBkz\nWLFiBVWqVCE1NZXExESGDBnCoUOH0Ol0ODg4EBMTwyOPPMKZM2fylZU+donRWLYMQkPZ3eQJHo79\nrVRF61RJIdG6HlYZGXDrluJzl0gqEIP72OfOncvly5eJjo4mLCyMnj17smLFCgYOHMiyZcsAWLZs\nmd6RjhKJ0ThwAIDT9Uo/UXWqVQ1Eh45KMLB9+7RWJpFUCKXqx54TCGvatGls2bJFHX6eE4nQHMnr\nHzRVzEEjmJDObMN+pl6A3t3F6RQByh/C5tkHqFsXdcmZk6OiMJnrWQxSp+lR7MvTHHr06EGP7BdR\nDRo0UGOISCQmxb17cOIEwtqaqLodylSF6KQY9iYXD/Dpp8og1N9+k2FkJOaDDCkgqVzs3g3dupHY\n0ocnXY+XehCprS3cO3MJ21YPkVS1Pn8svcXTI6xYtQp+/VWZYU8iMSQypIBE8iD79wNwp41+N0yJ\ncHICBwdqp92mzvVzxeeXSEwMizfs5uB3MweNYHydMTEQu17xr5+sWfiL02J1WllBgPLH0OD8Aa3k\nlRpjX8+SInWaHhZv2CWVh9mzIXOvYoh/vRzwYOyv0pFt2Bsa0bBLJGVF+tgllYapo67x/g+OSheW\n27eVmZFKia2t8v7Vdnc49OzJrZYdaHjhkPSxSyoM6WOXSPLgciO7dd2pU5mMej46dCALK+r/exxS\nUsovTiKpQCzesJuD380cNILxdbrEKi9Oc9wohVEinXXqcKVeO6wzM+DYsfKLKwPGvp4lReo0PUrc\nj10iMXXUFnvn0o84zcuECWBjA91EAC34Wxnw5NhFA4USScUgfeySykFGBqk17KiekQw3bkDjxmWq\n5qefIC5OWW+37zt6/jQWhg9n1ZAw6WOXVAha2E7ZYpdUDiIjqZ6RTGIjF+qW0agDjBiRJxEUAD+h\ntNiHlFuhRFJhSB+7GfjdzEEjGFlndnyYWJfi3TAl1unhAbVrw8WLVLtzoxziyoa879piLjq1wOIN\nu6SSkD3i9IZzOUacPoiNDXRQ4s0Yc6CSRFJaLN6w58xoYsqYg0Ywss5StNhLpTNnoNK5ijfs8r5r\ni7no1AKLN+ySSsCdO3D6NOnWVYlr7qtt3SYQWkAiKS0Wb9jNwe9mDhrBiDoPHQIhuNLIlyzbasVm\nL5XOHMN+4RBWIquMAsuGvO/aYi46tcDiDbukEpDtholuUr7+63pp1gwcHal67w5N70ZpX79EYgAs\n3rCbg9/NHDSCEXVmvziNblKyF6el1pndam8Vf7B05cqJvO/aYi46tcDiDbvEzBEiT4tdwx4xeenU\nCYBW8dLPLjEPLN6wm4PfzRw0gpF0XrwIN29Co0bE1W1ZoiKl1mmkFru879piLjq1wOINu8TM2Z8n\n8Ff2ZOua4++PsLLCOeEEpKYa5hgSiYbIWDES82biRFi4EGbPZtyVt/D1hXHjtD9MQgsv7C7/Dfv2\nlTvImERSFDIeu0Syv2ShestLfCvFz57jz5dITBmLN+zm4HczB41gBJ337+fGSu/YscTFyqIzvlX2\nH0cFGnZ537XFXHRqgcUbdokZc+IEpKVB27ZgZ2fQQ6kt9oMV+wJVIikLFm/YzaFvqzloBCPoLKMb\npiw67zh5ct+mBly4kBuw3cDI+64t5qJTCyzesEvMmH37lM8KeJkpbKrwT31/JXHokMGPJ5GUB4s3\n7ObgdzMHjWAEnXv3Kp9du5aqWFl1nm+guGPE/gM8/DC0a6csnp5w9GiZqiwSed+1xVx0aoHFG3aJ\nmXLlCly6BHXrKhNiVADnG2S7fA4eZO9eZZq8VauUWfguX64QCRJJiSjSsKemphIQEICvry8eHh5M\nnz4dgPj4eIKDg3F3d6dPnz4kJCRUiFhDYA5+N3PQCBWsM6e1HhgI1qVrn5RVZ06LnYMHsCZLbbHX\nrVum6opF3ndtMRedWlDkL6J69eqEh4dz/PhxIiIiCA8PZ/fu3cyfP5/g4GCioqLo1asX8+fPryi9\nEolCGd0w5eFmzYegWTOs4uNpzdkKO65EUlqKberUrFkTgLS0NDIzM6lfvz7r1q0jJCQEgJCQENau\nXWtYlQbEHPxu5qARDKfz3j2Iispdbt8m17B36VLq+sqq826SFXd9HgagK7vLVEdpsPT7rjXmolML\nqhSXISsri/bt23PhwgVeeukl2rVrR2xsLPb29gDY29sTGxurt2xoaCjOzs4A2NnZ4evrqz4O5Vxk\nY6dzMBU95pw+fvy4Qep/5x345hsdtWsDBOHd6h5Tjh4FKyuCsiMv6nQ6rl0DX1/DnF9cnI6//4ZP\n73flbVbRsu6v6HRu6v6//9ZRr555XE9LTZvq9dTpdCxduhRAtZflpcSxYu7cucOjjz7KvHnzGDJk\nCLdv31b3NWjQgPj4+PwVy1gxEo2YOBGcnZXPXbvg55d38sXJHuDrmzvyFCVGjKFixagcPQr+/uDq\nCufPAzBoEIwZo3xKJOWlQmPF1KtXjwEDBnDkyBHs7e25fv06ADExMTRp0qRcIiSS0uCVuEdZKYMb\nptx4e0Pt2spApezfgERiahRp2OPi4tQeLykpKWzZsgU/Pz8GDhzIsmXLAFi2bBmDBw82vFIDkfNI\nZMqYg0aoOJ2ed8v34rRcOqtUyR0QtWdP2espAfK+a4u56NSCIn3sMTExhISEkJWVRVZWFqNGjaJX\nr174+fkxbNgwFi9ejLOzM6tWraoovRJLRwg8EhTD/lVEFzLiYfz4Uvd4LB8PPwxbt8Lu3TB0aKHZ\nhICvvoK7d5W0tTU8/zzUr19BOiUWi4zHLjF58vrYEw6cxa5zG+7Uasqcl67y+RdWXLqkDBKqEB87\nwLZt0Ls3dOgAhw4V6mNPTlZik73+upJetQq+/hoefdTA+iRmjRa2s9heMRKJKWF3Smmt1+vbhQUf\nWLFkqRFEBASAjY3y4jY5GahVaNaqVWHBAmX9xImKkSeRWHxIAXPwu5mDRqggnXvK/+K03Dpr11Ye\nDTIzDRqfXd53bTEXnVpg8YZdYmZoYNg14WFloJKhX6BKJGXB4g17zoABU8YcNIK2OseMUcLABAZC\nWJjSGYXr1+HMGahZU+lLbkydOT1ydhtuBKol3ndDYi46tUD62CUmyZYt8PnnkD3AGW9v4I8dSuLh\nh8HW1mjagFzDvm8f1kGZgI0x1Ugk+bD4Frs5+N3MQSNor9PfP7fVXqsWkFN/OVtemuhs1gxatoS7\nd3koMaL89enBUu+7oTAXnVpg8YZdYkZoZNg1o3t3ALziwo0sRCLJj8UbdnPwu5mDRjCwzpiYXP96\nhw7lqkoznT17AuBzc5s29T2AvO/aYi46tcDiDbvETNhhQv71HLINe7tbO7HKSDeyGIkkF4s37Obg\ndzMHjWBgnduyW8UatLo00+noCK1bUyMzCbvzh7WpMw/yvmuLuejUAos37BIzQAilmwxAnz7G1fIg\nvXoB0DjCMO4YiaQsWLxhNwe/mzloBAPqPHcO/v0XGjYEP79yV6epzmx3TKOT27WrMxuLv+8aYy46\ntcDiDbvEDMhprffuXcFhHEtAUBBZWNHg9J7suDESifExsV9JxWMOfjdz0AgG1Ll5s/IZHKxJdZrq\nbNiQc/U7YZORBuHadnu0+PuuMeaiUwss3rBLTJz09FyDqZFh15qjTfoqK5s2GVeIRJKNxRt2c/C7\nmYNGMJDOffuUmSpat4YWLTSpUmudRxsbxrBb9H03AOaiUwss3rBLTJw//lA+H3vMuDqK4Hz9jqTV\naaDMg3runLHlSCTSsJuD380cNIKBdBrAsGutM8vKhhu+2d0wN27UrF6Lvu8GwFx0aoHFG3aJ6WLz\n7wU4fRrq1SvzxNUVxY32/ZSVnD8iicSIWLxhNwe/mzloBO111ti2QVnp21fTMAKGuJ6x/v2Vrpg6\nHdy5o0mdlnrfDYW56NQCizfsEtOlxjbT96/nkFa3kRLHJj1dU3eMRFIWLN6wm4PfzRw0grY662Xd\nptq+cGXS6H79isybkqIsGRklq9tg13PQIOXz9981qc4S77shMRedWmDxhl1imgSnrMMqI0MJ+tWw\nYaH5suNw0aABrFwJTZpUnMYC5Bj2P/+EtDQjCpFYOhY/NZ45+N3MQSNoq7NfymplZejQIvMdP176\nug12PV1doV07iIyE7duhW99yVWeJ992QmItOLZAtdonpkZhI99TNCCsreOIJY6spHTl/RKtWGVeH\nxKKxeMNuDn43c9AIGurcsIHq3CetQ1dwcNCmzjwY9HoOH658rllTbneMxd13A2MuOrXA4g27xAQJ\nCwPg3oAnjSykDHh4gKcnJCRgs22zsdVILBSLN+zm4HczB42gkc64OPjzTzKx5t5jw8tfnx4Mfj2z\nW+1VVv9crmos6r5XAOaiUwuKNOyXL1/mkUceoV27dnh6evLZZ58BEB8fT3BwMO7u7vTp04eEhIQK\nESuxAH75BTIy2FUtmKwm2rthKoRsw27zx1pqChmjXVLxFGnYbW1t+eSTT4iMjGT//v18+eWXnD59\nmvnz5xMcHExUVBS9evVi/vz5FaVXc8zB72YOGkEjnStXAvBbzWfLX1chGPx6urlBQABWSUkMzFxT\n5mos6r5XAOaiUwuKNOwODg74+voCULt2bdq2bcvVq1dZt24dISEhAISEhLB27VrDK5VUfi5cgD17\noGZN/qox2NhqykdoKAAjM5YZV4fEIilxP/aLFy9y7NgxAgICiI2Nxd7eHgB7e3tiY2P1lgkNDcXZ\n2RkAOzs7fH19VT9Xzr+nTBefDgoKMik9RaVzKG35NWt0RL7+LW8BOxoP5WLMYfbvBycn7fUa4nr+\n/beOevWgYcMgZs+Gu9ccmWRlS6+sbXDpErp//iE+HqB09edgKvfXUr+fhkzrdDqWLl0KoNrLciNK\nwN27d0X79u3FmjVrhBBC2NnZ5dtfv379AmVKWLVEIoQQ4uDedBFr4yAEiG3v7BS//y5EVpaxVZWM\ngQOFWLtWWV+2TIhu3YT4+Wch/u0yXAgQYvZsIYQQffoIsWmTEYVKzAItbGexvWLS09MZOnQoo0aN\nYvBg5fHY3t6e69evAxATE0MTo47jLh8P/pObIuagEcqn027PBppkXoc2beg582EGDgQrK+205cXQ\n19PZGYYNgxazxigbvv0WMjNLXY8l3PeKxFx0akGRhl0IwfPPP4+HhwcTJ05Utw8cOJBlyxTf4bJl\ny1SDL5GUlcZrv1FWXnjBcBa9oundG1q1gkuXlPgxEkkFYZXd9NfL7t276d69O97e3lhl/9jmzZtH\np06dGDZsGJcuXcLZ2ZlVq1ZhZ2eXv2IrK4qoWiLJ5dw5ROvWpFGVarGXoXFjYysqFYMGwZgxyufy\n5bB1q/IJwEcfweTJ0Lcvj2ZtZNIkePRRo8qVmDha2M4iDXu5KpaGXaKHbt1g//782z7JfI1XxOds\nbDaGflcXG0dYOQgJgR9+UObZyMqCl1+G7CEfcOsWNG8Oqam81u8cX/7VCuvs5+SpU+G//zWabImJ\nooXttPiRp+bgdzMHjVAynbGxSkTGe/eyl5g7vFxrCQCPbphgYIUKWl/PJUsgNVU5n9RUWLgwz86G\nDWHkSAAWOn+i5lu4EG7cqFidhkLqND0s3rBLKh5b2zzLsu+wSkqCRx7B2tfb2NLKhLV1/nMq8Ipg\n0iQArJYuwfZOHLa2UMXiA2ZLDIl0xUgqFHd3Zb5nd3eU5m3LlhATA+vXm8UUeGVmwADlBeo778Cs\nWXzzDRw+DN98Y2xhElNDC9sp2w0Sg5KZCdu2KVOBAiQl5dm5ZIli1H18FMNXmXnjDcWwf/45/N//\nAbXz7Q4PV1w0oMwG2LMnVK2qvYybN+Hgwdy0kxN4m+eDkqQILN4VYw5+N3PQCPp1njmjzD2xaJGy\nBASAvT2KpV+wQMn05psV2sXRKNezRw8IDFRepn7xRb5dt29Dnz6512jkSDhwwDA6v/4aJkxQjvP+\n+/CsBiF5zPn7WVmxeMMuMSxZWcqAnQ0blGXNGqhXD6W1fvGiMmHpkCFGVlkBWFnBu+8q6x98gG3q\nXXVXVhbUrZt7jby8lG2GICtL+ePYsEEx7oY6jsS4WLxhz4ndYMqYg0Yohc579xRfM8Ds2YrvoQIx\n2vXs3Ru6doX4eDy3LSw2e6W770bGXHRqgcUbdokR+Pxzxbfu71/sZNWVCisrteO6z1/vU+ee/uB5\nEkl5sXjDbg5+N3PQCCXUeeMGzJ2rrM+dizpapwIx6vUMCoLHHqPq/SQGHZlZZNZKdd9NAHPRqQUW\nb9glFcyMGZCYCP36QXCwsdUYhw8+IMvahofPfgcREcZWI6mEWLxhNwe/mzlohBLoPHQIvv9eGcXz\n6adGC/Zl9OvZpg2neryEtciC8eMLfYNpdJ0lROo0PSzesEsqiPR0GDsWhICJE7NHKFkuhwfO5k4N\ne9izh2o/LjG2HEklw+INuzn43cxBIxSj88MP4cQJpe/jrFkVJUkvpnA902ra8UvnjwGo+c4bOGRd\nK5DHFHSWBKnT9LB4w17ZePFFJe5UzjJnjrEVgWtqZG4f7m+/hVq1jCvIRDjoOgL69sU64TYfJ7+o\nPM1ILIohQ/L/Xr/+Wpt6Ld6wm4PfrTQaL15UvhxRUcp7ykuXDCarAPp0Wt1PZcHlEXD/vjKJRu/e\nFSeoEEzmnltZwXffkVXPjkfTN8Di/CGLTUZnMUidZeeff2D1auX3+uKLcOWKNvVavGGvjNStq/z7\n165dfF5D4/DpVNzvnwQ3N/jkE2PLMT0cHUme/7my/tprEBlpXD2SCsfOTvm91qypXZ0Wb9jNwe9m\nDhpBj85Vq2i08jPSqQIrV5rGPw2mdz3TnnqWsKrPQUoKDBtG9cxkwPR0FobUaXpYVHTHzEwlsl1G\nhpKuXt24eio1kZHKfHHAB00/ZkbHjkYWZNq8UWsRT7seglOnmN4oBLJWQSWZ+lVS8ViUYT92TImi\n5+urpA8cgH//DTKqppJgir5Bfag6Y2OV2OrJydwe8Aw/XXyFGUZVlh9TvJ73rGrBb79BQABBcau5\nuOxdnJe+a2xZJcIUr6c+zEWnFliUKyYzEzw8YNcuZWnSRNkm0ZCkJBg4UHmLGxDA1ZnfGG0gktnR\npg2EhZGJNc7L3lPCL0okZcCiDLs+9u3TGVtCsZiLb1C3aZPSUj94UOmv/vvviBoavhHSCJO+nv36\n8bHb/wDQvfwyrFhhZEHFY9LXMw/molMLLN6wSzTi3j2YPh127IBmzWDLluwZNSSl5Y+mL3JhXPYk\nJKNHK0HsJZJSYFE+dn0EBgZpVtcHHyjRaHN4+WVwdS1/vYb2Df79txLCJYeWLeGVV4ouk5KijDlK\nS4MqGSmMXTeIoH+Pg4ODMs9bq1YG1VwezMHXeuXpNwhqlKiE+X36aaVX0ZNPGlsWAF9+CRcu5KZH\njw4ympbSUNL7HhUFX32Vm27eXJ2P3GyQLXYNefddaNxY+SLs3Al79hhbUcnYtk2Jz9W8uTIo9P33\niy9z5Qp89x242d1kwvreuP27lfSG9opRt/A4MJrx3nvw+uvKv+ewYbCw+Mk5KoIFC5Q+182bKxNy\nb91qbEXasmMH7N2rnF+DBmoIfbPC4g271j72V19V/t09PLSrsyJ8g+3bK7pffLHkZTrUOsVLSwNw\nvLiXGFsnwibMV14Amjjm4mvV7dgBH30E8+blBk974w2TmM9u7Fjl++LvD+fP64wtp0SU5r57eSnn\nN3684fQYEos37JKyUXPXX/xyJRCio6FjR55xPUBaM2djy6p8WFnBtGmwfDlUqaIEU3viCYiPN7Yy\niQlj8YZdSx+7oTApn3BaGkydSrMX+lEnK1GZ2k6nI862KR07BhlbXYkwqetZBPl0jhoFGzcq48/X\nrQM/P9i3z2ja8tKqVZCxJZQIc7nvWmDxht1UycpS3CMtWyqLq6vizzQqUVHQpYviZLWy4tMG78Kq\nVVCzJtWqKZMi5eg1g156RqVaNfjpJ+VatW+vpPPue/rp3Gv5xRfZO3r3VkbZdeoEly6R2bUbCxrM\nw80lg5YtlcCZ5WHYsNxjtmwJP/9cvvoqiv37ld9Hju5OnYytyPhYvGE31X7sWVlK+PKtW+G//9Xh\n7AzXCobsrhjS0xVj7ucHR47AQw9xZeVOvmwwU52zdPNm+OADHVu3wuOP5+81YWqYgo/92Wdz7294\neP4Z8n75RXnx/t//6nj2WeX/VMXZWRldN2kSNiKTKbdn8HfNjkzsdphz58qn6cQJ+OYbRVOfPkrk\nwZJgbB/7lStKjLmtW5XvYWENIFO47xVFkYZ9zJgx2Nvb4+XlpW6Lj48nODgYd3d3+vTpQ0JCgsFF\nWipWVkoLpFkzI4Yw37lTicEwdarSV/2ZZ+DECVL9u+bLVr++orNlS2VdUjQ2Nvlbx40a5e6rVy/3\nvufdrlK1Knz0ERPcN3K/6UNUO3WcV1YE8Pj2iXD7drl0OTmZ5z2sXTv3WkqKMeyjR49m06ZN+bbN\nnz+f4OBgoqKi6NWrF/PnzzeoQEMjfeyFcOqU0m+6Rw9lvVUr2LQJfvhBsTx6MBcfZmXRud+uLxE/\nRsLkyWBlRbcjCxWfxIcfQmpqxYhE+thNkSIHKHXr1o2LFy/m27Zu3Tp27NgBQEhICEFBQWZv3A3F\npUvK4y2Ao2MhrS8jERsL168r61ev5m63+fcCH8a9h/D6AausLLKqVefGmOncCJ2CqFYdss/n338r\nXrOlcvNm7veoQQOlVZ1DVo1a8MEHLE8bycNr/49Wl8KVLpELFyozrYSGQo0aRtGtNdHRkJiorFtZ\nQdu2yrzoJSU9XWmj5FCvnuLZqoyUeuRpbGws9tlDxe3t7YmNjS00b2hoKM7ZV87Ozg5fX1/1XzPH\n31WR6dOnAXLT9+8rHQueeipIk/qVgGJKunZtHUuWwC+/BHHnDjz0kI533y15fTt26LJnSlO0xcXB\nyZMwcGDR5fOen+Kb1Z+/Xz8d169D48ZKepjnl+h6rKLH7t0Mz8piKzbsqjuQPY7/4+aeZiT9pcs+\nLyV/UpIue3Bpbv3Hjx9n4sSJAFy8qEOng4YNy349DZXO62s1BT2FpY8fP06bNhNZvBiGDNGRkQHW\n1kFERyv7FSOn5N+XeodNgW8T9s1UmDoV3YkTMH48QbNmwauvovPxUWZgyXO/oqPJl753Lzd96ZIu\ne+IH/fr2788tf/68cq8NfT369gU3tyCsreHCBR1vvAGzZin7b95UNHTvXnj5778/zvr1E2nRAu7e\n1REbC8nJ+vPHxCj1eXsb7nyyrxiHD+v49NOlnDgBdes6owmiGKKjo4Wnp6eatrOzy7e/fv36esuV\noOoKZ/9+ITp1yk07OgqxalW4ZvXXqiXE3bsFt69dK8TAgaWrKz1dCBsbZT08PFw8/rgQv/9efLng\nYCH++ktZ/+orIV58UX++bt2E2LUpSYglS4To3FkIZQiMELa2QoSGCnHhQukEZ+sUQohZs5RFCCEi\nIgm0LRIAABfpSURBVITI8/UxCXJ0mjoP6rx8WfnO5tCpk/KdFkKI998X4o03sndkZgqxapUQ/v65\n97V6dSFGjRLfj9kl3n4rSwghxMmTQrRrl1ufu7sQZ84o69OmCTF3rn5dLVoIcfGisj5xohDjx4fr\nz6gxtrZC3L+vrD/9tBA//qis//KLEEOHKuuZmUJYWekvP316uHj2WWU9OVmIGjX05/vmGyFeeEFZ\nv3VLiEJMnCb4+Ahx7Jiy/t57Qrz1lja2s9S9Yuzt7bme/QwfExNDkyZNtPmHMRIW52PPyoJdu/i/\nc/+h85CmSpCp/fuVt2UzZijhdpcsKdNbKHPxYVZ6ndbW8NRTSpyIbdugb1/F575iBaO/78YrX7WD\n2bOpGn1GE53m4mNv2zbI2BIqjFIb9oEDB7Js2TIAli1bxuDBgzUXJdGYjAyli9zEiYqDtnt3Bl3/\nhir37ir90r//Hi5fhjlzlK4YksqBlRX07KkMbLpwAaZPJ6m2PU3iTsPMmbgPbMvq895KMJSzZ8n2\n/UkqAUX62EeMGMGOHTuIi4vDycmJ9957j2nTpjFs2DAWL16Ms7Mzq1atqiithXLvHnz6qfJyBJTe\nYJMm5R/0URj79ul46qkgDh5Uvv85+Pkp80WYAoo/Lqh0ha5fx33fJlx+30jK8s3USM3tlnrbzpmw\nzGF0+DKUjqPaaqoz14eoBEUr4hWM0cir05TRpzMxUbmuUPiM9vfvw8cfK4OEQXnBOHFiS2rOncun\ntu/y0LmtjKq2iszVa2h99yS8fRLefpu/rF2wm9UHhj9KtdSeUFd/76cHUfqxBxWTK5dbt5Q5REoS\n8qZzZ3j0Uf37Vq9W+vgXNf/3li1KQC+ArVt1ODuXXKc+1q+Ho0dz0337QkBAuao0CEUa9p9++knv\n9q0mFs7t/HnFsL/0kpJesEB5Ei1N5NiVK+HMGeWLdPEibN9uOoa9RFy7Brt2Mf7Mbjq/tAv+OcEj\neXbHNXQnyu0x/vYYxlXHTthUscLtccNIGTJEafxlZSnRLt980zDHsTQcHJSQ9zk9GceNU3qGPMjl\ny8pv4LXXlPTChTBgAPj4QJaNLeda9YP3+pH26df8/soWWp/8hdZR63FOiYafv4afv+ZtKxtinDpB\nQjflqS4wUJlyTAOOHVMeEp97ruh8UVGKN0mfYR87VonCmJWlXINu3fTXsWiR8sfWtq3iXRw9unza\nP/5Yeeh1cVGm1oyLM0PDbk44OOS2ZFauLHm5vD72/v1hwgTlCzNzprb6ykNQUBAff5xnQ1KS8us4\nckRZ9u5VhwmqjrHq1ZXH8H79oF8/Grm60gjoYmCdAN7eymKqmENrHQrqrFJFMewloWHD3N/D2rX6\n89SoV5WnVwwABihzRB49qgzd/Osv2LOP5pf2wYI88WhatYLAQJ5P9KPaXh+o7QM0LJOP3dU1V19h\n/PFH/rjoeenZU1lKwogRSty0Uj/1FsLo0fDII/D55w+MCjYhKo1hr4xUEelw5gKcOsWwqFO0/zAS\nph7X7w+tXRu6dGHphW60G9eNji93qjT9lyUVgI0NdOyoLG++yexJibSN381wp31KfIMDB5RH4/Pn\nmckKGKkUm1m7Obdb+ECcjxLr1t1dGd9fp45xz8fCsXjDnuNjNxrp6cqzc3S00uqOjobz57E5dYrE\nrChom44OeBbgbHaZKlWUH5G/v7J07Kg8Z1epwo99YLI3YASbbs6+a1PEmDrvV6vLP637w/T+yoaM\nDCWgzYED/DDlBE+5naDa2QjqJ13hxKkrtDy1IX8FDg6Kkc8x9C4u0KKFsmTZY4wwVeZy37XAKIY9\nMVEJMpTjK6xSRZnW0clJeWx85x395Wxtlcez4qbStLVVAlHlvDx97z39/nJbW2U09pw5youo994r\nXvuiRUqgpBwee6yIGVaysuDWLepGX6N97DX47qriC790STXiWZcuY52VWaCoFVAVlKFx9vb8FtcN\nl/4e+I3yZE+iFy//X3U4hLLkeVy9cKF0o/EkkuK4fBmeeKIKGRntgfZEpkLPP6CZfSYL/nOBnT//\nyPma6bjcP42H7Tma3j2nDGu+fl2JNfQAPavY4mHrBI+0yDX2jo7KDzvvQu0KP9fSYGurROjctUtJ\nt2kDYWHG1ZSDUQx7QoLygjInDM3IkUrvCScnOH1aCWOa8+InL0OHKsOrizPsW7YoLzVAeal6+rR+\nw75jB8THB6npkkz+E3kklZHdbzKoSxxn99zk1Lqb0DgObt7k0/txVH/mJtyMUcbpx8RAejqPgPIi\n84C+Gq1IrNcca9eWRFu5cDrVhWFTW5Lh7kGDLm1IjK5FEIr+F3qDX0c4v0y5VrNnF6zN2hratSv+\nPAyBubSGpM7SERur9Dz78UclXa1aTq9YG8Z97E6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nl19+4cGDB7i4uDBq1CgmT57Mxo0bOXToEJ07d87zOnIrL3nM229D5mMPtm+H\nxo0hJMSkkiQSoyFjxUhKJE/GitGRmsq6NjNwfUbgPakX+PmZRJ9EkhsyVoxEUhgePIABA+h//BO8\nN0yDtm3hk09MrUoiUR2rN+yWMLbVEjSCBegMCYE//2STfWXOdXoNbGxg2jQoxCzh4sTs2zMTqdP8\nsHrDLrESjh+HsDAoV46VbeazN+Q7eO890GohOBgyQ0NIJCUB6WOXlEhy+NiHDIFVq+CddwhJnE9A\nAIQMfgBeXnD+PKxcCUOHmlKyRAJYiY/966+/xsPDg2HDhuWa55133qFRo0Z4eXkVaiHrvChInSEh\nITRo0EC3AtKJEycAWL9+PV5eXvj4+NCqVSt27NgBwMOHD/Hz88Pb2xsPDw8++OADXV3jxo2jadOm\neHl5MWDAAF14goJw+PBhPD09adSoEWPGjMk138yZM2nUqBFNmjRhW7anij169MDb25tmzZrxyiuv\nkJaWplfOUBCxK1eu0K1bNzw8PGjWrBmXL1/WK/POO+/kGpSs2Dl/Xumt29tD9vg/5copvXaAxYtN\no00iMQZFHjCZC2pV3aRJE3H9+vVcz//555+iZ8+eQggh9u3bJ/z8/ApVv6GxrQWtM7d1Q5OTk3X7\nJ06cEG5ubrr0/fv3hRDKGql+fn4iMjJSCCHEtm3bREZGhhBCiAkTJogJEybk0DhlyhSxdOnSHO/n\n6+sr9u/fL4QQomfPnmLz5s058mSt25qamiqio6OFm5ub0Gq1Qggh7t27p8s3cOBAsXz5cl06KSlJ\n+Pv7i3bt2unNXO3UqZMIDw/XXVNKSopO58GDB8WwYcNEpUqVcugoLvTGsY8bJwQIMWKEEEKI7t0j\nxJIlmefu3hWiXDnlfBHWpzUGljLuWupUFzVsp1n32F9//XUuXbpEjx49dPFVnmTDhg0EBwcD4Ofn\nx927d4mLiyvS+xamTmHgL1OFChV0+8nJydSoUUOXLl++PACpqalkZGToYsUEBQVha2ure89r164V\nSGtsbCz37t2jTZs2AAwfPpx169blyLd+/XqGDBmCvb09rq6uNGzYkP379wNQsWJFANLS0khNTdXT\nmz2IWFasmdOnT5ORkUFgYKDumsqVKwdARkYG48ePZ/bs2ebhihMCVq9W9g0NXK9SBV54QdlfsqTY\nZEkkxsSsDfuiRYuoU6cOGo2GsWPHGsxz/fp1XFxcdOm6desaNIovvviiwQWkDeUtaJ0AH3zwAV5e\nXrz33nuTzHjhAAAgAElEQVSkpqbqjq9bt46mTZvSs2dPvv76a91xrVaLt7c3jo6OdO7cOUekRoCf\nfvqJXr16AcoEp3fffRcfHx++++47Jk+erNOekJDA9evXqVu3rq6ss7Mz169fz1HnjRs39PLVrVtX\nL1/37t1xdHSkXLly9OjRA9APIpadqKgoHBwcGDhwIC1btmT8+PFotVoCAgL45ptv6NevX57RKouV\n48chOhpq1YIOHQBwcgrQz/PKK8rrsmXKD4GZYCnxw6VO88OsZ54WlCd7hoaiGGbFTVezzpkzZ+Lk\n5ERqaiqvvfYan3/+OR9//DGgxJ7p378/kZGRDBs2jHPnzgFga2vLsWPHSExMpHv37mg0Gr0P3Gef\nfUbp0qUZmvkgz9PTU+fj/+STT6hfv77eTNZLly4V6rpyu6atW7fy6NEjBg8eTGhoKMOHD+e9997T\nix+f1Sbp6elERkZy7NgxXFxcGDx4MEuXLqVHjx6sXr0ajUZjHr11gDVrlNfnnwc7O8N5/P3B0RGu\nXoVTp6B58+LTJ5EYAbPusRcEZ2dnrl69qktfu3bNYCz0wYMHG+yxT5o06anrzOqVli5dmhEjRhhc\n7MLf35/09HRu376td7xKlSr07t2bQ4cO6Y4tXbqUTZs2sXLlSr28eY2/dXZ21vs3kZvWglxTmTJl\nGDhwIAcPHtQLIla/fn327dtHv379OHLkCC4uLnh7e+Pq6oqdnR39+/fnyJEjLFu2jAsXLtCwYUMa\nNGhASkoK7u7uuWovFrIM+8CBukM3b2r089jaQs+eyv6mTcWjqwBYyrhrqdP8sHjD3rdvX5YtWwbA\nvn37cHBwwNHRMUe+X3/9laNHj+bYsi+0Udg6Y2NjAaUnu3btWjw9PQElzntWjzVrJEn16tWJj4/n\n7t27ADx48IDt27fj4+MDwJYtW5gzZw7r16+nbNmyBq91ypQpOeLO1K5dm8qVK7N//36EECxfvpz+\n/fsbvKZVq1aRmppKdHQ058+fp02bNty/f193Henp6fzxxx/4+PhQuXJlbt26RXR0NNHR0bRt25YN\nGzbQsmVLWrduzd27d4mPjweUuPLNmjWjbdu2xMbG6sqUL1+eqKgog9dSHNRJOQ9nzkDVqpDf33Az\nNOwSydNi9q6Y/BaH6NWrF5s2baJhw4ZUqFCBJYV8AGbI75ZXnb1792bx4sU4OTnx8ssvc+vWLYQQ\n+Pj4MGPGDEAZHrhs2TLs7e2pWLGizg0UGxtLcHAwWq0WrVbLsGHDdA8g3377bVJTUwkKCgKgXbt2\nLFy4UOdjN0RWELGFCxcSEhLCgwcP6NWrl85HnhVE7JNPPsHDw4NBgwbh4eFBqVKlWLhwITY2Nty/\nf59+/frx6NEjhBB0796dkSNH5tlmdnZ2zJ07l8DAQIQQtG7dmlGjRlGqlP7HydQLe/jc/kvZCQpS\nhjpmksPHnpXHzg5274bEROWhqomxFJ+w1Gl+yAlKkhLJtm1Qdth/6PjvavjuO8iMwgnK4JiAAAOD\nZDp2hMhIZRRNNteNRFKcWMUEJWNjCX43S9AIZqZTq8XrToSy36WL3qkcPvYsstwxOUJCmgazas88\nkDrNjwIZ9oyMDHx8fOjTpw8ACQkJBAUF4e7uTrdu3XR+Y2OydOnSHA8+3377baO/r8QyqRR9gipp\nt6FePXBzK1ihrLj3u3YZT5hEUgwUyBXz5ZdfcvjwYe7du8eGDRsYP348NWrUYPz48Xz++efcuXOH\nWbNm6VcsXTESE3LutS9o/MP7ir/liecuubpiUlOVB60pKRAXp4x9l0iKmWJxxVy7do1Nmzbx6quv\n6t4s+8zM4OBggzMdJRJTUu24Ep+HzIfTT/L99zB8+BPbq6U5V62dkiEyspiUSiTqk++omHfffZc5\nc+aQlJSkOxYXF6cb/ufo6JjrdPuQkBBcXV0BcHBwwNvbW/dkOsvfZep01jFz0WMo/aRWU+vJLX3s\n2DHdDGGT6tFqOX5yF6WAgI4dc5wPCNBQuzYANG2qlD9zRjn/8/WOfMJfaH7+GapXl+0pP59GT2s0\nGpYuXQqgs5dFJq9AMhs3bhSjR48WQigBdJ577jkhhBAODg56+apWrZqjbD5Vmw2WEBjIEjQKYUY6\nz54VAsStMnWEyAx0lp28dHaxi1ACgnl5GU9fATGb9swHqVNd1LCdefrYJ02axPLlyylVqhQPHz4k\nKSmJAQMGcPDgQTQaDU5OTsTGxtK5c2fOnj2rV1b62CUmIzQUQkL4u9bzPBv3e6GKVir1gCTbKtik\np8Pt24rPXSIpRozuY58xYwZXr14lOjqaVatW0aVLF5YvX07fvn11MURCQ0MNznSUSExGZtTKM1Xa\nFrroQ5tyiNa+SjCwffvUViaRFAuFGseeNZNw4sSJbN++HXd3d3bs2MHEiRONIq44yO4fNFcsQSOY\nkc5Mw362ip/B0/npFH7KD8LW6fupXBndlssEYKNhNu2ZD1Kn+VHgkAKdOnWiU6dOAFSrVo3w8HCj\niZJInpqUFDh+HGFry/lKrZ6qCtFG+UFwjN7HV18p4dp//12GkZFYDjKkgKRk8fff4O9PUgMvXnA7\nVuhJpPb2kHL2CvYNnyG5dFX+WHqbF4fYEBamRBoICzOObIkkCxlSQCJ5kky/eGITw26YAuHiAk5O\nVEy9Q6Wb51USJpEUH1Zv2C3B72YJGsH0OmNjIW6j4l8/WT73B6f56rSxAT/lh6Hahf1qySs0pm7P\ngiJ1mh9Wb9glJYfp0yFjj2KIV1/1y23SacHINOzVTWjYJZKnRfrYJSWGCcNu8PkKZ2UIy507yspI\nhcTeXnn+ah+5AwIDud2gNdUvHpQ+dkmxIX3sEkk26v+b2btu0+apjLoevr5oscHh8nF4+LDo4iSS\nYsTqDbsl+N0sQSOYXmf9uMwJRX55PzgtkM5KlbhWpRl2GWmQuZh4cWPq9iwoUqf5YfZL40kkBUXX\nY29b+Bmn2RkzRlklz1/4UY9/lJE2zu1UUCiRFA/Sxy4pGaSn87CcA2XT78O//0LNmk9VzS+/QOYa\n3TTb+wNdfnkNBg8mbMAq6WOXFAtq2E7ZY5eUDE6domz6fZJq1KfyUxp1gCFDsiUC2sIvKCEKBhRZ\noURSbEgfuwX43SxBI5hYZ2Z8mLj6+bthCqzTwwMqVoSYGMok/lsEcU+HvO/qYik61cDqDbukhJA5\n4/Rf1yLMOH0SOzto3Row7UQliaSwWL1hz1rRxJyxBI1gYp1ZPfYCGPZC6cyaqHS++A27vO/qYik6\n1cDqDbukBJCYCGfOkGZbmngXH3XrNoPQAhJJYbF6w24JfjdL0Agm1HnwIAjBtRreaO3L5Ju9UDqz\nDPvFg9gI7VMKfDrkfVcXS9GpBlZv2CUlgEw3THStoo1fN0idOuDsTOmURGrfi1K/fonECFi9YbcE\nv5slaAQT6sx8cBpdq2APTgutM7PX3jDhQOHKFRF539XFUnSqgdUbdomFI0S2HruKI2Ky06YNAA0T\npJ9dYhlYvWG3BL+bJWgEE+mMiYFbt6BGDeIrNyhQkULrNFGPXd53dbEUnWpg9YZdYuHsyxb4K3Ox\nddVp1QphY4PrXRnpUWIZyFgxEstm7FiYPx+mT+f1ax/h7Q2vv67+29yt54nD1X9g794iBxmTSPJC\nxmOXSPYVLFRvUUloqPjZs/z5Eok5Y/WG3RL8bpagEUyg89Gjx7HSfX0LXOxpdOoM+4Hi87PL+64u\nlqJTDazesEssmOPHITUVmjYFBwejvlVCw8x/BLLHLrEArN6wW8LYVkvQCCbQ+ZRumKfRmejSnEd2\n5eDiRbh9u9DlnwZ539XFUnSqgdUbdokFs3ev8loMDzOFXSkuVW2lJIrRHSORPA1Wb9gtwe9mCRrB\nBDr37FFeO3QoVLGn1XmhmuJn1+4/wLPPQrNmyta8ORw58lRV5om87+piKTrVwOoNu8RCuXYNrlyB\nypWVBTGKgQvVFJePzf797NmjLJMXFqaswnf1arFIkEgKRJ6G/eHDh/j5+eHt7Y2HhwcffPABAAkJ\nCQQFBeHu7k63bt24e/dusYg1Bpbgd7MEjVDMOrN66+3agW3h+idPqzOrx86B/dii1fXYK1d+qury\nRd53dbEUnWqQ5zeibNmyREREcOzYMU6cOEFERAR///03s2bNIigoiKioKAIDA5k1a1Zx6ZVIFJ7S\nDVMUbpV/BurUwSYhgcacK7b3lUgKS75dnfLlywOQmppKRkYGVatWZcOGDQQHBwMQHBzMunXrjKvS\niFiC380SNILxdKakQFTU4+3OHR4b9vbtC13f0+q8l2zDPa9nAejA309VR2Gw9vuuNpaiUw1K5ZdB\nq9XSsmVLLl68yBtvvEGzZs2Ii4vD0dERAEdHR+Li4gyWDQkJwdXVFQAHBwe8vb11f4eyGtnU6SzM\nRY8lp48dO2aU+qdOhe+/11CxIkAALRqmMP7IEbCxISAz8qJGo+HGDfD2Ns71xcdr+Ocf+OpRBz4m\njAaV16DRNNKd/+cfDVWqWEZ7WmvaXNtTo9GwdOlSAJ29LCoFjhWTmJhI9+7dmTlzJgMGDODOnTu6\nc9WqVSMhIUG/YhkrRqISY8eCq6vyGhkJv765i29OdgJv78czT1FixBgrVoyOI0egVStwc4MLFwDo\n1w9GjlReJZKiUqyxYqpUqULv3r05fPgwjo6O3Lx5E4DY2Fhq1apVJBESSWHwTNqt7DyFG6bItGgB\nFSsqE5UyvwMSibmRp2GPj4/XjXh58OAB27dvx8fHh759+xIaGgpAaGgo/fv3N75SI5H1l8icsQSN\nUHw6m98r2oPTIuksVerxhKjdu5++ngIg77u6WIpONcjTxx4bG0twcDBarRatVsuwYcMIDAzEx8eH\nQYMGsXjxYlxdXQkLCysuvRJrRwg87iqGfdGJ9qQnwOjRhR7xWDSefRbCw+Hvv2HgwFyzCQGLFsG9\ne0ra1hZeeQWqVi0mnRKrJU/D7unpyREDU+qqVatGeHi40UQVJ1kPM8wZS9AIxaPTs0wUDtoEEivU\n5lLGMywYB4MHK5OECkqRdWb9U8inx56SAu+8A+++q6TDwsDTE7p3L9jbyPuuLpaiUw3yHRUjkZgT\nDqeV3nqVHu2ZPceGJUtNIMLPD+zslAep9+8DFXLNWro0zJ6t7B8/XjzyJBKrDylgCX43S9AIxaRz\nd9EfnBZZZ6VKyvCbjAyjhvGV911dLEWnGli9YZdYGCoYdlUooDtGIjEFVm/YLcHvZgkaQV2dI0cq\nYWDatYNVq5TBKNy8CWfPQvnyylhyU+p8VpmByt/Gm4FqjffdmFiKTjWQPnaJWbJ9OyxYAJkTnGnR\nAvhjp5J49lmwtzeZNuBxj33vXmwDMgA7U6qRSPSw+h67JfjdLEEjqK+zVavHvfYKFYCs+ovY81JF\nZ506UL8+3LvHM0knil6fAaz1vhsLS9GpBlZv2CUWhEqGXTU6dQLAMz7CxEIkEn2s3rBbgt/NEjSC\nkXXGxj72r7duXaSqVNPZpQsALeJ3qFPfE8j7ri6WolMNrN6wSyyEnWbkX88i07A3j9+JTXqaicVI\nJI+xesNuCX43S9AIRtb511/Kqwq9LtV0OjtD48aUy0jG4cIhderMhrzv6mIpOtXA6g27xAIQQhkm\nA9Ctm2m1PElgIAA1T/xlYiESyWOs3rBbgt/NEjSCEXWePw+XL0P16uDjU+TqVNWZ6Y6pcVJ9P7vV\n33eVsRSdamD1hl1iAWT11rt2LeYwjgUgIAAtNlQ7szszboxEYnrM7FtS/FiC380SNIIRdW7bprwG\nBalSnao6q1fnfNU22KWnPh6OqRJWf99VxlJ0qoHVG3aJmZOWBhGZ48RVMuxqc6RWD2Vn82bTCpFI\nMrF6w24JfjdL0AhG0rl3r7JSRePGUK+eKlWqrfNIzUzDvmWLqvVa9X03ApaiUw2s3rBLzJw//lBe\nn3vOtDry4EJVX1IrVlXWQc1c4FoiMSVWb9gtwe9mCRrBSDqNYNjV1qm1seNf78xhmCq6Y6z6vhsB\nS9GpBlZv2CXmi93li3DmDFSp8tQLVxcX/7bsqexk/RBJJCbE6g27JfjdLEEjqK+z3F9/Kjs9eqga\nRsAY7RnXurcyFDMiAhITVanTWu+7sbAUnWpg9YZdYr6U+8v8/etZpFauofyrSEuTo2MkJsfqDbsl\n+N0sQSOoq7OK9g5l9kYoi0b37Jln3gcPlC09vWB1G609+/dXXtevV6U6a7zvxsRSdKqB1Rt2iXkS\n9GADNunpStCv6tVzzZcZh4tq1WDlSqhVq/g05qBfP+V10yZITTWhEIm1Y/VL41mC380SNIK6Ons+\nWKPsDByYZ75jxwpft9Ha080NmjWDU6dgxw7w71Gk6qzxvhsTS9GpBrLHLjE/kpLo+HAbwsYGnn/e\n1GoKR9YPUViYaXVIrBqrN+yW4HezBI2gos4//6Qsj0ht3QGcnNSpMxtGbc/Bg5XXtWuL7I6xuvtu\nZCxFpxpYvWGXmCGrVgGQ0vsFEwt5Cjw8oHlzuHsXu7+2mVqNxEqxesNuCX43S9AIKumMj4dNm8jA\nlpTnBhe9PgMYvT0ze+2l1vxapGqs6r4XA5aiUw3yNOxXr16lc+fONGvWjObNm/P1118DkJCQQFBQ\nEO7u7nTr1o27d+8Wi1iJFfDbb5CeTmSZILS11HfDFAuZht3uj3WUFzJGu6T4ydOw29vbM2/ePE6d\nOsW+ffv49ttvOXPmDLNmzSIoKIioqCgCAwOZNWtWcelVHUvwu1mCRlBJ58qVAPxe/uWi15ULRm/P\nRo3Azw+b5GT6Zqx96mqs6r4XA5aiUw3yNOxOTk54e3sDULFiRZo2bcr169fZsGEDwcHBAAQHB7Nu\n3TrjK5WUfC5ehN27oXx5tpbrb2o1RSMkBICh6aGm1SGxSgo8jj0mJoajR4/i5+dHXFwcjo6OADg6\nOhIXF2ewTEhICK6urgA4ODjg7e2t83Nl/XrKdP7pgIAAs9KTVzqLwpZfu1bDqXd/4CNgZ82BxMQe\nYt8+cHFRX68x2vOffzRUqQLVqwcwfTrcu+HMezb2BGr/gitX0Fy6REICQOHqz8Jc7q+1fj6NmdZo\nNCxduhRAZy+LjCgA9+7dEy1bthRr164VQgjh4OCgd75q1ao5yhSwaolECCHEwT2pIs7OSQgQf03d\nJdavF0KrNbWqgtG3rxDr1in7oaFC+PsL8euvQlxuP1gIEGL6dCGEEN26CbFliwmFSiwCNWxnvqNi\n0tLSGDhwIMOGDaN/ZiwMR0dHbt68CUBsbCy1TDqPu2g8+UtujliCRiiazip//0mtjJvQpAldJj9L\n375gY6OetuwYuz1dXWHQIKg3ZaRy4IcfICOj0PVYw30vTixFpxrkadiFELzyyit4eHgwduxY3fG+\nffsSGqr4DkNDQ3UGXyJ5Wmqu/0HZefVV41n04qZrV2jYEK5cUeLHSCTFhE1m198gf//9Nx07dqRF\nixbYZH7ZZs6cSZs2bRg0aBBXrlzB1dWVsLAwHBwc9Cu2sSGPqiWSx5w/j2jcmFRKUybuKtSsaWpF\nhaJfPxg5UnldtgzCw5VXAL74At5/H3r0oLt2M++9B927m1SuxMxRw3bmadiLVLE07BID+PvDvn36\nx+ZlvMNbYgGb64yk5/XFphFWBIKDYcUKZZ0NrRbefBMyp3zA7dtQty48fMg7Pc/z7daG2Gb+T54w\nAT791GSyJWaKGrbT6meeWoLfzRI0QsF0xsUpERlTUjK32ETerLAEgO5/jjGyQgW123PJEnj4ULme\nhw9h/vxsJ6tXh6FDAZjvOk+Xb/58+Pff4tVpLKRO88PqDbuk+LG3z7aF/ohNcjJ07oytdwtTS3sq\nbG31rynHI4L33gPAZukS7BPjsbeHUlYfMFtiTKQrRlKsuLsr6z27u6N0bxs0gNhY2LjRIpbAe2p6\n91YeoE6dClOm8P33cOgQfP+9qYVJzA01bKfsN0iMSkYG/PWXshQoQHJytpNLlihG3ctLMXwlmXHj\nFMO+YAH8739ARb3TERGKiwaU1QC7dIHSpdWXcesWHDjwOO3iAi0s84+SJA+s3hVjCX43S9AIhnWe\nPausPbFwobL5+YGjI4qlnz1byfThh8U6xNEk7dmpE7RrpzxM/eYbvVN37kC3bo/baOhQ2L/fODq/\n+w7GjFHe5/PP4WUVQvJY8uezpGL1hl1iXLRaZcLOn38q29q1UKUKSm89JkZZsHTAABOrLAZsbOCT\nT5T9OXOwf3hPd0qrhcqVH7eRp6dyzBhotcoPx59/KsbdWO8jMS1Wb9izYjeYM5agEQqhMyVF8TUD\nTJ+u+B6KEZO1Z9eu0KEDJCTQ/K/5+WYvcffdxFiKTjWwesMuMQELFii+9Vat8l2sukRhY6P8kAFe\nWz+nUorh4HkSSVGxesNuCX43S9AIBdT5778wY4ayP2MGutk6xYhJ27NzZ3juOUo/Sqbf4cl5Zi1R\n990MsBSdamD1hl1SzEyaBElJ0LMnBAWZWo1pmDMHra0dz577EU6cMLUaSQnE6g27JfjdLEEjFEDn\nwYPw00/KLJ6vvjJZsC+Tt2eTJpzu9Aa2QgujR+f6BNPkOguI1Gl+WL1hlxQTaWkwahQIAe++mzlD\nyXo51Hc6ieUcYfduyvy8xNRyJCUMqzfsluB3swSNkI/OuXPh+HGoXx8m5+1bNjbm0J6p5R34re2X\nAJSfOg5HbWyOPOagsyBIneaH1Rv2ksZrrylxp7K2zz4ztSJwe3jq8Rju77+HChVMK8hMOOA2BHr0\nwPbuHb68/5ryb0ZiVQwYoP99/e47deq1esNuCX63wmiMiVE+HFFRynPKK1eMJisHhnTaPHrI7KtD\n4NEjZRGNrl2LT1AumM09t7GBH39EW8WBHml/KM8fsmE2OvNB6nx6Ll2CNWuU7+trr8G1a+rUa/WG\nvSRSubLy61+xYv55jY3TVxNwf3QSGjWCefNMLcf8cHbm/qwFyv7bb8OpU6bVIyl2HByU72v58urV\nafWG3RL8bpagEQzoDAujxsqvSaMUrFxpHr80mF97pv7nZVaVHg4PHsCgQZTNuA+Yn87ckDrND6uK\n7piRoUS2S09X0mXLmlZPiebUKWW9OGBO7S+Z5OtrYkHmzbgKC3nR7SCcPs0HNYJBGwYlZOlXSfFj\nVYb96FElip63t5Levx8uXw4wqaaCYI6+QUPodMbFKbHV79/nTu+X+CXmLSaZVJk+5tieKTYV4Pff\nwc+PgPg1xIR+guvST0wtq0CYY3sawlJ0qoFVuWIyMsDDAyIjla1WLeWYREWSk6FvX+Uprp8f1yd/\nb7KJSBZHkyawahUZ2OIaOk0JvyiRPAVWZdgNsXevxtQS8sVSfIOaLVuUnvqBA0qs3vXrEeVUfCKk\nEmbdnj178mWj/wNA8+absHy5iQXlj1m3ZzYsRacaWL1hl6hESgp88AHs3Al16sD27ZkrakgKyx+1\nX+Pi65mLkIwYoQSxl0gKgVX52A3Rrl2AanXNmaNEo83izTfBza3o9RrbN/jPP/pDqBs0gLfeyrvM\ngwfKnKPUVCiV/oBRG/oRcPkYODkp67w1bGhUzUXBEnyt114cR0CNJPj0U3jxRWVU0QsvmFoWAN9+\nCxcvPk6PGBFgMi2FoaD3PSoKFi16nK5bV7ceucUge+wq8sknULOm8kHYtQt27za1ooLx119KfK66\ndZVJoZ9/nn+Za9fgxx+hkcMtxmzsSqPL4aRVd1SMupXHgVGNadOUuDqpqTBoEMzPf3GO4mD2bGXM\ndd26yoLc4eGmVqQuO3fCnj3K9VWrpvy2WhpWb9jV9rG//bby6+7hoV6dxeEbbNlS0f3aawUv07rC\nad5Y6odzzB5i7V1YNWaW8gDQzLEUX6tm50744guYOVMJNzB2rLIothmsZzdqlPJ5adUKLlzQmFpO\ngSjMfff0VK5v9Gjj6TEmVm/YJU9H+cit/HatHURHg68vL7ntJ7WOq6lllTxsbGDiRFi2DEqVUoKp\nPf88JCSYWpnEjLF6w66mj91YmJVPODUVJkygzqs9qaRNUpa202iIt6+Nr2+AqdUVCLNqzzzQ0zls\nGGzerMw/37ABfHxg716TactOw4YBppZQICzlvquB1Rt2c0WrVdwjDRoom5ub4s80KVFR0L694mS1\nseGrap9AWBiUL0+ZMsqiSFl6LWCUnkkpUwZ++UVpq5YtlXT2cy+++Lgtv/km80TXrsosuzZt4MoV\nMjr4M7vaTBrVT6dBA/jhh6JpGjTo8Xs2aAC//lq0+oqLffuU70eW7jZtTK3I9Fi9YTfXcexarRK+\nPDwcPv1Ug6sr3LhhIjFpaYox9/GBw4fB1ZVrP0fybbXJujVLt22DOXM0hIdDnz76oybMDXPwsb/8\n8uP7GxGhv0Leb78pD94//VTDyy8rv6c6XF2V2XXvvYedyGD8nUn8U96Xsf6HOH++aJqOH1eiKoeH\nKzO0L10qWDlT+9ivXVNizIWHK5/D3DpA5nDfi4s8DfvIkSNxdHTE09NTdywhIYGgoCDc3d3p1q0b\nd+/eNbpIa8XGRumB1KljwhDmu3YpMRgmTFDGqr/0Ehw7xsOW7fWyVa2q6GzQQNmX5I2dnX7vuEaN\nx+eqVHl837Mf11G6NHzxBWPcN/Oo9jOUOX2Mt5b70WfHWLhzp0i6XFws8x5WrPi4LSX5GPYRI0aw\nZcsWvWOzZs0iKCiIqKgoAgMDmTVrllEFGhvpY8+F06eVcdOdOin7DRvCli2wYoVieQxgKT7MkqJz\nn0MPTvx8Ct5/H2xs8D88X/FJzJ0LDx8Wj0ikj90cyXOCkr+/PzExMXrHNmzYwM6dOwEIDg4mICDA\n4o27sbhyRfl7C+DsnEvvy0TExcHNm8r+9euPj9tdvsjc+GkIzxXYaLVoy5Tl35Ef8G/IeESZspB5\nPZcvF79ma+XWrcefo2rVlF51FtpyFWDOHJalDuXZdf+j4ZUIZUjk/PnKSishIVCunEl0q010NCQl\nKUCklOAAABnbSURBVPs2NtC0qbIuekFJS1P6KFlUqaJ4tkoihZ55GhcXh2PmVHFHR0fi4uJyzRsS\nEoJrZss5ODjg7e2t+9XM8ncVZ/rMGYDH6UePlIEF//lPgCr1KwHFlHTFihqWLIHffgsgMRGeeUbD\nJ58UvL6dOzWZK6Up2uLj4eRJ6Ns37/LZr0/xzRrO37Onhps3oWZNJT2o+bdoOoXR6e+/GazVEo4d\nkZX7stv5/7i1uw7JWzWZ16XkT07WZE4ufVz/sWPHGDt2LAAxMRo0Gqhe/enb01jp7L5Wc9CTW/rY\nsWM0aTKWxYthwAAN6elgaxtAdLRyXjFySv69DxPZ0u5jVn0/ASZMQHP8OIweTcCUKfD222i8vJQV\nWLLdr+ho9NIpKY/TV65oMhd+MKxv377H5S9cUO61sdujRw9o1CgAW1u4eFHDuHEwZYpy/tYtRUPH\njrmX/+mnY2zcOJZ69eDePQ1xcXD/vuH8sbFKfS1aGO96MluMQ4c0fPXVUo4fh8qVXVEFkQ/R0dGi\nefPmurSDg4Pe+apVqxosV4Cqi519+4Ro0+Zx2tlZiLCwCNXqr1BBiHv3ch5ft06Ivn0LV1damhB2\ndsp+RESE6NNHiPXr8y8XFCTE1q3K/qJFQrz2muF8/v5CRG5JFmLJEiHathVCmQIjhL29ECEhQly8\nWDjBmTqFEGLKFGUTQogTJ4TI9vExC7J0mjtP6rx6VfnMZtGmjfKZFkKIzz8XYty4zBMZGUL89psQ\nrVs/vq9lywoxbJj4aWSk+PgjrRBCiJMnhWjW7HF97u5CnD2r7E+cKMSMGYZ11asnREyMsj92rBCj\nR0cYzqgy9vZCPHqk7L/4ohA//6zs//abEAMHKvsZGULY2Bgu/8EHEeLll5X9+/eFKFfOcL7vvxfi\n1VeV/du3hcjFxKmCl5cQR48q+9OmCfHRR+rYzkKPinF0dORm5n/42NhYatWqpc4vjImwOh+7VguR\nkfzv/H9pO6C2EmRq3z7ladmkSUq43SVLnuoplKX4MEu8Tltb5fnIgQOwY4cyDvXhQ1i+nBE/+fPW\nomYwfTqlo8+qotNSfOxNmwaYWkKxUWjD3rdvX0JDQwEIDQ2lf//+qouSqEx6ujJEbuxYxUHbsSP9\nbn5PqZR7yrj0n36Cq1fhs8+UoRiSkoGNDXTuDJs2KWMXJ03iXkUnasWfgcmTce/blDUXWijBUM6d\nI9P3JykB5OljHzJkCDt37iQ+Ph4XFxemTZvGxIkTGTRoEIsXL8bV1ZWwsLDi0porKSnw1VfKwxFQ\nRoO9957+pI/c2LtXw3/+E8CBA8rEvix8fJT1IswBxR8XULhCN2/ivncLDdZv4uGybZR9mKg7dcfB\nlVUZg2j9bQi+w5qqqvOxD1EJipbHIxiTkV2nOWNIZ1KS0q6Q+4r2jx7Bl18qk4RBecA4dmx9yn/2\nGfNLTeWZ8+EMKxNGxpq1NL53Ej4+CR9/zFbb+jhM6QaDu1PmYReobHj005Mo49gD8sn1mNu3lTVE\nChLypm1b6N7d8Lk1a5Qx/nmt/719uxLQCyA8XIOra8F1GmLjRjhy5HG6Rw/w8ytSlUYhT8P+yy+/\nGDwebmbh3C5cUAz7G28o6dmz4T//KVzk2JUr4exZ5YMUE6P8gzUXw14gbtyAyEjePBtJu9cjIfoE\nnbOdjq/uTlSj5/jHYxDXndtgV8qGRn2MI2XAAKXzp9Uq0S4//NA472NtODkpIe+zRjK+/royMuRJ\nrl5VvgPvvKOk58+H3r3Bywu0dvacb9gTpvUk9avvWP/Wdhqf/I3GURtxfRANv34Hv37HxzZ2xLq0\ngbv+yr+6du2UJcdU4OhR5U/i8OF554uKUqKOGjLso0YpURi1WqUN/P0N17FwofLD1rSp4l0cMaJo\n2r/8UvnTW7++srRmfLwFGnZLwsnpcU9m5cqCl8vuY+/VC8aMUT4wkyerq68oBAQE8OWX2Q4kJyvf\njsOHlW3PHt00wX5ZecqWhS5dFP9qz57UcHOjBtAe45HVu2zRQtnMFUvorUNOnaVKKYa9IFSv/vj7\nsG6d4TzlqpTmxeW9gd7KGpFHjihTN7duhd17qXtlL8zOFo+mYUNo25ZXk3wos8cbKnoB1Z/Kx+7m\n9lhfbvzxh35c9Ox06aJsBWHIECVuWqH/9ebCiBGKh2vBgidmBZsRJcawl0RKiTQ4exFOn2ZQ1Gla\nzj0FE44Z9odWrAjt27P0oj/NXvfH9802JWb8sqQYsLMDX19l+/BDpr+XRNOEvxnssleJb7B/v/LX\n+MIFPmYFDFWKTanoTEI9b4j3UmLdursr8/srVTLt9Vg5Vm/Ys3zsJiMtTfnvHB2t9Lqjo+HCBexO\nnyZJGwVN09AALwOcyyxTqpTyJWrVStl8fZX/2aV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"text": [ - "" + "" ] } ], @@ -3454,26 +3700,26 @@ "output_type": "pyout", "prompt_number": 76, "text": [ - "{'c': 2693.4952752342624,\n", - " 'error_c': 1.9999980000030009,\n", - " 'error_f_0': 0.04898635424622567,\n", - " 'error_gamma': 0.001382866770270471,\n", - " 'error_m': 1.999997976609169,\n", - " 'error_mass': 0.0004659570726638116,\n", - " 'f_0': 0.5332626646582187,\n", + "{'c': 6188.177096551795,\n", + " 'error_c': 1.414212148161654,\n", + " 'error_f_0': 0.03463870349452257,\n", + " 'error_gamma': 0.0009778753714724175,\n", + " 'error_m': 1.4142121450350984,\n", + " 'error_mass': 0.0003294864038653029,\n", + " 'f_0': 0.533249323216673,\n", " 'fix_c': False,\n", " 'fix_f_0': False,\n", " 'fix_gamma': False,\n", " 'fix_m': False,\n", " 'fix_mass': False,\n", - " 'gamma': 0.009423680385702125,\n", + " 'gamma': 0.009423831866177658,\n", " 'limit_c': None,\n", " 'limit_f_0': None,\n", " 'limit_gamma': None,\n", " 'limit_m': None,\n", " 'limit_mass': None,\n", - " 'm': 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ohPDodEtun6S7MWWncCYl4kxN9qr7m18M5O1XrqRoq8ZrN2JXOnUavU9+SIAj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ERqdH9vgl3Y0pOYkrMQFXrySfus/8Tz/efuUKCr7S+uxGbE+nXmvwyw8JUGTJ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\no7x4QQGMHavE6rBYWuNOV1cr4U1HjOg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/5s7tymvmBSy3WOCGG1qXQF0obfX9938rI4X/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elNcQhaOo68lEjJZXbWxsxMiRI3HixAk88MADCAkJQUlJCbRaLQBAq9WipKSk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\nLox4STIee+8AAAAASUVORK5CYII=\n", "text": [ - "" + "" ] } ], @@ -3684,7 +3930,7 @@ "cell_type": "code", "collapsed": false, "input": [ - "%%timeit -r1 -n1 m.migrad()" + "%timeit -r1 -n1 m.migrad()" ], "language": "python", "metadata": {}, @@ -3705,9 +3951,9 @@ " NCALLS = 56\n", " \n", " \n", - " EDM = 8.98386149544e-07\n", - " GOAL EDM = 1e-05\n", - " UP = 1.0\n", + " EDM = 9.31305324182e-07\n", + " GOAL EDM = 5e-06\n", + " UP = 0.5\n", " \n", " \n", " \n", @@ -3750,7 +3996,7 @@ "\n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -3765,7 +4011,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -3776,8 +4022,8 @@ " \n", " \n", " \n", - " \n", - " \n", + " \n", + " \n", " \n", " \n", " \n", @@ -3786,7 +4032,19 @@ " \n", " \n", "
+NameValueParab Error1m1.869105e+001.748232e-041.236187e-040.000000e+000.000000e+00
2gamma9.609370e-033.182649e-049.609371e-032.250473e-040.000000e+000.000000e+00
\n", - " " + " \n", + " 
\n",
+        "            \n",
+        "
\n", + " " ], "output_type": "display_data" }, @@ -3800,7 +4058,7 @@ "output_type": "stream", "stream": "stdout", "text": [ - "1 loops, best of 1: 954 ns per loop\n" + "1 loops, best of 1: 68.8 ms per loop\n" ] } ], @@ -3847,9 +4105,9 @@ " NCALLS = 66\n", " \n", " \n", - " EDM = 4.12132313303e-13\n", - " GOAL EDM = 1e-05\n", - " UP = 1.0\n", + " EDM = 4.27228260843e-13\n", + " GOAL EDM = 5e-06\n", + " UP = 0.5\n", " \n", " \n", " \n", @@ -3892,7 +4150,7 @@ "\n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -3907,7 +4165,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -3919,7 +4177,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -3928,7 +4186,19 @@ " \n", " \n", "
+NameValueParab Error1m1.869105e+001.748241e-041.236193e-040.000000e+000.000000e+002gamma9.609357e-033.182743e-042.250544e-040.000000e+000.000000e+00
\n", - " " + " \n", + " 
\n",
+        "            \n",
+        "
\n", + " " ], "output_type": "display_data" }, @@ -4002,8 +4272,8 @@ " \n", " \n", " \n", - " \n", - " \n", + " \n", + " \n", " \n", " \n", " \n", @@ -4034,7 +4304,7 @@ "output_type": "stream", "stream": "stdout", "text": [ - "{'lower_new_min': False, 'upper': 0.0001748217546167012, 'lower': -0.0001748780354010935, 'at_lower_limit': False, 'min': 1.869105083642479, 'at_lower_max_fcn': False, 'is_valid': True, 'upper_new_min': False, 'at_upper_limit': False, 'lower_valid': True, 'upper_valid': True, 'at_upper_max_fcn': False, 'nfcn': 12L}\n", + "{'lower_new_min': False, 'upper': 0.0001236143094705069, 'lower': -0.00012364236012110086, 'at_lower_limit': False, 'min': 1.8691050836421013, 'at_lower_max_fcn': False, 'is_valid': True, 'upper_new_min': False, 'at_upper_limit': False, 'lower_valid': True, 'upper_valid': True, 'at_upper_max_fcn': False, 'nfcn': 12L}\n", "True\n", "True\n" ] @@ -4063,14 +4333,14 @@ "output_type": "pyout", "prompt_number": 91, "text": [ - "{'error_gamma': 0.00031827433528448535,\n", - " 'error_m': 0.00017482406860049894,\n", + "{'error_gamma': 0.0002250543924548983,\n", + " 'error_m': 0.000123619287240136,\n", " 'fix_gamma': False,\n", " 'fix_m': False,\n", - " 'gamma': 0.00960935659129497,\n", + " 'gamma': 0.00960935659431392,\n", " 'limit_gamma': None,\n", " 'limit_m': None,\n", - " 'm': 1.869105083642479}" + " 'm': 1.8691050836421013}" ] } ], @@ -4103,7 +4373,7 @@ "\n", "
Error-0.0001748780354010.000174821754617-0.0001236423601210.000123614309471
Valid
\n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -4118,7 +4388,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -4130,7 +4400,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -4139,7 +4409,19 @@ " \n", " \n", "
+NameValueParab Error1m1.869105e+001.748241e-041.236193e-040.000000e+000.000000e+002gamma9.609357e-033.182743e-042.250544e-040.000000e+000.000000e+00
\n", - " " + " \n", + " 
\n",
+        "            \n",
+        "
\n", + " " ], "output_type": "display_data" } @@ -4187,7 +4469,7 @@ "output_type": "stream", "stream": "stdout", "text": [ - "{'fix_m': False, 'm': 1.869105083642479, 'limit_m': None, 'error_m': 0.00017482406860049894, 'fix_gamma': False, 'error_gamma': 0.00031827433528448535, 'limit_gamma': None, 'gamma': 0.00960935659129497}\n" + "{'fix_m': False, 'm': 1.8691050836421013, 'limit_m': None, 'error_m': 0.000123619287240136, 'fix_gamma': False, 'error_gamma': 0.0002250543924548983, 'limit_gamma': None, 'gamma': 0.00960935659431392}\n" ] } ], @@ -4229,9 +4511,9 @@ " NCALLS = 29\n", " \n", " \n", - " EDM = 1.34413329728e-10\n", - " GOAL EDM = 1e-05\n", - " UP = 1.0\n", + " EDM = 1.23520523748e-10\n", + " GOAL EDM = 5e-06\n", + " UP = 0.5\n", " \n", " \n", " \n", @@ -4274,7 +4556,7 @@ "\n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -4289,7 +4571,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -4301,7 +4583,7 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -4310,7 +4592,19 @@ " \n", " \n", "
+NameValueParab Error1m1.869105e+001.748230e-041.236185e-040.000000e+000.000000e+002gamma9.609347e-033.182638e-042.250465e-040.000000e+000.000000e+00
\n", - " " + " \n", + " 
\n",
+        "            \n",
+        "
\n", + " " ], "output_type": "display_data" }, diff --git a/notebooks/04_Fitting.py b/notebooks/04_Fitting.py index 851071c..9b6b43e 100644 --- a/notebooks/04_Fitting.py +++ b/notebooks/04_Fitting.py @@ -36,9 +36,10 @@ # -#define a functino to minimize +#define a function to minimize +#making x,y correlates on purpose def f(x,y,z): - return (x-2)**2 + (y-3)**2 + (z-4)**2 + return (x-2)**2 + (y-x)**2 + (z-4)**2 # @@ -57,6 +58,9 @@ def f(x,y,z): #the most frequently asked question is Does my fit converge #also look at your console it print progress if you use print_level=2 m.migrad(); +#bonus: see that link with a plus sign on the top left corner? +#clicking it will give you a latex table that you can copy paste +#to your paper/beamer slide; # @@ -102,6 +106,18 @@ def f(x,y,z): # +# ###Contour and Profile(Scan) + +# + +m.draw_mncontour('x','y') # you can get the raw value using m.mncontour or m.mncontour_grid; + +# + +m.draw_profile('x') # this is 1d evaluation not minos scan; + +# + # ####Initial value, Limit, initial error, fixing # @@ -184,7 +200,6 @@ def my_gauss(x, mu, sigma): # m = Minuit(ulh, mean=0.2, sigma =0.3) -m.set_up(0.5) m.migrad() ulh.show(m) @@ -195,7 +210,8 @@ def my_gauss(x, mu, sigma): # # ####Binned $\chi^2$ -# Just a $\chi^2$ with symmetric poisson error assumption. Binned $\chi^2$ doesn't make much sense for non extended one. +# Just a $\chi^2$ with symmetric poisson error assumption. Currently doesn't support unextended fit yet(easy fix, anyone wanna do it?). +# But, binned likelihood support both extended and unextended fit. # @@ -345,7 +361,7 @@ def my_poly(x, a, b, c): # -%timeit -n1 -r1 m.migrad(); #we will talk about speed later; +%timeit -n1 -r1 m.migrad(); # @@ -414,16 +430,6 @@ def my_poly(x, a, b, c): m.print_matrix() -# - -m.draw_profile('mass');#not exactly minos profile just a simple scan - -# - -m.draw_contour('mass','f_0', show_sigma=False); -#not exactly minos contour though just a 2d scan -#Matt Bellis already signed up for this task.; - # # ####Note on complex PDF @@ -436,7 +442,7 @@ def my_poly(x, a, b, c): # m.migrad() # ``` # -# If your PDF is more complicated than what you can do with AddPDF and AddPDFNorm. It might be +# If your PDF is more complicated than what you can do with AddPDF and AddPDFNorm, it might be # easier to write it out manually. # @@ -610,7 +616,7 @@ def my_poly(x, a, b, c): # -%%timeit -r1 -n1 m.migrad() +%timeit -r1 -n1 m.migrad() # diff --git a/notebooks/Extra_01_Basic_Python_Extended.ipynb b/notebooks/Extra_01_Basic_Python_Extended.ipynb new file mode 100644 index 0000000..d75e6e1 --- /dev/null +++ b/notebooks/Extra_01_Basic_Python_Extended.ipynb @@ -0,0 +1,1991 @@ +{ + "metadata": { + "name": "Extra_01_Basic_Python_Extended" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Basic Python" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This is just to give you a glimpse of what Python can do.\n", + "We select only subset of the feature we think will be useful for doing analysis. We also leave links in various place in case you want to do your own further study.\n", + "\n", + "For more complete features, you can look at Python [official documentation](http://docs.python.org/2/) or a book like [Think Python](http://www.greenteapress.com/thinkpython/html/index.html)\n", + "\n", + "In this tutorial we will be using [IPython](http://ipython.org). To execute current cell and go to the next cell in this tutorial press ``Shift+Enter``. If things go wrong you can restart Kernel by either click on Kernel at the top bar and choose restart or press `Ctrl+M+.` (Press that DOT symbol too)" + ] + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Hello World" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#press shift+enter to execute this\n", + "print 'Hello world'" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Hello world\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#ipython automatically show representation of \n", + "#the return value of the last command\n", + "1+1" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "pyout", + "prompt_number": 2, + "text": [ + "2" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Data Type(Usual Stuff)" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "x = 1 #integer\n", + "y = 2.0 #float\n", + "t = True #boolean (False)\n", + "s = 'hello' #string\n", + "s2 = \"world\" #double quotes works too\n", + "#there are also triple quotes google python triple quotes\n", + "n=None #Null like variable None." + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 3 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "print x+y #you can refer to previously assigned variable." + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "3.0\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "s+' '+s2" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "pyout", + "prompt_number": 5, + "text": [ + "'hello world'" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#boolean operations\n", + "x>1 and (y>=3 or not t) and not s=='hello' and n is None" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "pyout", + "prompt_number": 6, + "text": [ + "False" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Bonus: The only language I know that can do this\n", + "0 < x < 10" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "pyout", + "prompt_number": 7, + "text": [ + "True" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "####Bonus: String formatting\n", + "One of the best implentation. There are couple ways to do string formatting in Python.\n", + "This is the one I personally like." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "'x is %d. y is %f'%(x,y)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "pyout", + "prompt_number": 8, + "text": [ + "'x is 1. y is 2.000000'" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#even more advance stuff\n", + "#locals returns dictionary of\n", + "#local variables which you then use \n", + "#in formatting by name\n", + "'x is %(x)d. y is %(y)f'%locals() #easier to read" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "pyout", + "prompt_number": 9, + "text": [ + "'x is 1. y is 2.000000'" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##List, Set, Tuple, Dictionary, Generator" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "List\n", + "----\n", + "Think of it as std::vector++" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "l = [1, 2, 3, 4, 5, 6, 7]\n", + "print l #[1, 2, 3, 4, 5, 6, 7]\n", + "print l[2] #3\n", + "print len(l) # list length\n", + "print l[-1] #7 negative index works from the back (-1)\n", + "l2 = [] #want an empty list?\n", + "print l2" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "[1, 2, 3, 4, 5, 6, 7]\n", + "3\n", + "7\n", + "7\n", + "[]\n" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#doesn't really need hold the same type\n", + "#but don't recommend. You will just get confused\n", + "bad_list = ['dog','cat',1,1.234]" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 11 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "l[1] = 10 #assignment\n", + "l" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "pyout", + "prompt_number": 12, + "text": [ + "[1, 10, 3, 4, 5, 6, 7]" + ] + } + ], + "prompt_number": 12 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "l.append(999) #append list\n", + "l" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "pyout", + "prompt_number": 13, + "text": [ + "[1, 10, 3, 4, 5, 6, 7, 999]" + ] + } + ], + "prompt_number": 13 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#can be created from list com\n", + "l.sort() #sort\n", + "l" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "pyout", + "prompt_number": 14, + "text": [ + "[1, 3, 4, 5, 6, 7, 10, 999]" + ] + } + ], + "prompt_number": 14 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#searching O(N) use set for O(log(N))\n", + "10 in l" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "pyout", + "prompt_number": 15, + "text": [ + "True" + ] + } + ], + "prompt_number": 15 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "11 not in l" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "pyout", + "prompt_number": 16, + "text": [ + "True" + ] + } + ], + "prompt_number": 16 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#useful list function\n", + "range(10) #build it all in memory" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "pyout", + "prompt_number": 17, + "text": [ + "[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]" + ] + } + ], + "prompt_number": 17 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#list comprehension\n", + "#we will get to for loop later but for simple one\n", + "#list comprehension is much more readable\n", + "my_list = [2*x for x in l]\n", + "print my_list\n", + "my_list = [ (2*x,x) for x in range(10)]\n", + "print my_list\n", + "my_list = [3*x for x in range(10) if x%2==0]\n", + "print my_list" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "[2, 6, 8, 10, 12, 14, 20, 1998]\n", + "[(0, 0), (2, 1), (4, 2), (6, 3), (8, 4), (10, 5), (12, 6), (14, 7), (16, 8), (18, 9)]\n", + "[0, 6, 12, 18, 24]\n" + ] + } + ], + "prompt_number": 18 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#This might come in handy\n", + "[1]*10" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "pyout", + "prompt_number": 19, + "text": [ + "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1]" + ] + } + ], + "prompt_number": 19 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "####Bonus: Python Autocomplete" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#in this cell try my_ and press tab\n", + "#IPython knows about local variables and\n", + "#can do autocomplete (remember locals()?)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 20 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#try type len( here\n", + "#python can give you documentation/function signature etc.\n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 21 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Tuple\n", + "-----\n", + "Think of it as immutable list" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "tu = (1,2,3) #tuple immutable list\n", + "print tu\n", + "tu2 = tuple(l) #convert list to tuple\n", + "print tu2\n", + "tu3 = 4,5,6 #parenthesis is actually optional but makes it more readable\n", + "print tu3" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "(1, 2, 3)\n", + "(1, 3, 4, 5, 6, 7, 10, 999)\n", + "(4, 5, 6)\n" + ] + } + ], + "prompt_number": 22 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#access\n", + "tu[1]\n", + "#you can't assign to it" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "pyout", + "prompt_number": 23, + "text": [ + "2" + ] + } + ], + "prompt_number": 23 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#tuple expansion\n", + "x, y, z = tu\n", + "print x #1\n", + "print y #2\n", + "print z #3\n", + "print x, y, z #you can use tuple in print statement too\n", + "\n", + "x, y, z = 10, 20, 30#parenthesis is actually optional\n", + "print z, y, x #any order" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "1\n", + "2\n", + "3\n", + "1 2 3\n", + "30 20 10\n" + ] + } + ], + "prompt_number": 24 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#useful for returning multiple values\n", + "def f(x,y):\n", + " return x+y, x-y #parenthesis is implied\n", + "a, b = f(10,5)\n", + "print a #15\n", + "print b #5\n", + "print a, b #works too" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "15\n", + "5\n", + "15 5\n" + ] + } + ], + "prompt_number": 25 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Dictionary\n", + "----------\n", + "\n", + "Think of it as std::map - ish. It's actually a hash table. There is also OrderedDict if you also care about ordering." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "d = {'a':1, 'b':10, 'c':100}\n", + "print d #{'a': 1, 'c': 100, 'b': 10}\n", + "d2 = dict(a=2, b=20, c=200) #using named argument\n", + "print d2 #{'a': 2, 'c': 200, 'b': 20}\n", + "d3 = dict([('a', 3),('b', 30),('c', 300)]) #list of tuples\n", + "print d3 #{'a': 3, 'c': 300, 'b': 30}\n", + "d4 = {x:2*x for x in range(10)}#comprehension (key doesn't have to be string)\n", + "print d4 #{0: 0, 1: 2, 2: 4, 3: 6, 4: 8, 5: 10, 6: 12, 7: 14, 8: 16, 9: 18}\n", + "d5 = {} #empty dict\n", + "print d5 #{}" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "{'a': 1, 'c': 100, 'b': 10}\n", + "{'a': 2, 'c': 200, 'b': 20}\n", + "{'a': 3, 'c': 300, 'b': 30}\n", + "{0: 0, 1: 2, 2: 4, 3: 6, 4: 8, 5: 10, 6: 12, 7: 14, 8: 16, 9: 18}\n", + "{}\n" + ] + } + ], + "prompt_number": 26 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "print d['a'] #access\n", + "print len(d) #count element\n", + "d['d'] = 1000#insert\n", + "print d #{'a': 1, 'c': 100, 'b': 10, 'd': 1000}\n", + "del d['c']#remove\n", + "print d #{'a': 1, 'b': 10, 'd': 10}\n", + "print 'c' in d #keyexists?" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "1\n", + "3\n", + "{'a': 1, 'c': 100, 'b': 10, 'd': 1000}\n", + "{'a': 1, 'b': 10, 'd': 1000}\n", + "False\n" + ] + } + ], + "prompt_number": 27 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#use dictionary in comprehension\n", + "#d.items() return generator which gives tuple \n", + "#k,v in d.items() does tuple expansion in disguise\n", + "new_d = {k:2*v for k,v in d.items()}\n", + "print new_d #{'a': 2, 'b': 20, 'd': 20}" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "{'a': 2, 'b': 20, 'd': 2000}\n" + ] + } + ], + "prompt_number": 28 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Set\n", + "---\n", + "Binary tree-ish. Very good at membership searching. O(log(N)) instead of O(N) in list." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "s = {1,2,3,4,5,6}\n", + "print s\n", + "s2 = set([4, 5, 6, 7, 8, 9, 9, 9, 9]) #from a list\n", + "#duplicated element is ignored\n", + "print s2" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "set([1, 2, 3, 4, 5, 6])\n", + "set([4, 5, 6, 7, 8, 9])\n" + ] + } + ], + "prompt_number": 29 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#membership this is O(log(n))\n", + "print 3 in s\n", + "print 10 in s\n", + "print 11 not in s" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "True\n", + "False\n", + "True\n" + ] + } + ], + "prompt_number": 30 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "print s | s2 #union\n", + "print s & s2 #intersection\n", + "print s - s2 #differece\n", + "print s ^ s2 #symmetric differnce\n", + "print {2,3,4} <= s #subset\n", + "print s >= {2,3,4} #superset" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "set([1, 2, 3, 4, 5, 6, 7, 8, 9])\n", + "set([4, 5, 6])\n", + "set([1, 2, 3])\n", + "set([1, 2, 3, 7, 8, 9])\n", + "True\n", + "True\n" + ] + } + ], + "prompt_number": 31 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#insert\n", + "s.update([10,11,12])\n", + "print s\n", + "print 11 in s" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "set([1, 2, 3, 4, 5, 6, 10, 11, 12])\n", + "True\n" + ] + } + ], + "prompt_number": 32 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##Control Flow\n", + "###if else elif\n", + "Indentation in python is meaningful. There is \"NO\" bracket scoping in python.\n", + "\n", + "Recommended indentation is 4 spaces not Tab. Tab works but not recommended\n", + "Set your text editor to soft tab. [PEP8](http://www.python.org/dev/peps/pep-0008/) which list all the\n", + "recommended style: space, comma, indentation, new line, comment etc. Fun Read." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "x = 20\n", + "if x>10: #colon\n", + " print 'greater than 10'#don't for get the indentation\n", + "elif x>5: #parenthesis is not really needed\n", + " print 'greater than 5'\n", + "else:\n", + " print 'not greater than 10'\n", + "x+=1#continue your execution with lower indentation\n", + "print x" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "greater than 10\n", + "21\n" + ] + } + ], + "prompt_number": 33 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#shorthand if\n", + "y = 'oh yes' if x>100 else 'oh no' #no colon\n", + "print y" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "oh no\n" + ] + } + ], + "prompt_number": 34 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#since indentation matters sometime we don't need any statement\n", + "if x>10:\n", + " print 'yes'\n", + "else:\n", + " pass #pass keywoard means do nothing\n", + "x+=1\n", + "print x" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "yes\n", + "22\n" + ] + } + ], + "prompt_number": 35 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#why is there no bracket??\n", + "from __future__ import braces #easter egg" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "ename": "SyntaxError", + "evalue": "not a chance (, line 2)", + "output_type": "pyerr", + "traceback": [ + "\u001b[0;36m File \u001b[0;32m\"\"\u001b[0;36m, line \u001b[0;32m2\u001b[0m\n\u001b[0;31m from __future__ import braces #easter egg\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m not a chance\n" + ] + } + ], + "prompt_number": 36 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "###For loop, While loop, Generator, Iterable\n", + "\n", + "There is actually no `for(i=0;i<10;i++)` in python. `list` is an example of iterable." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#iterate over list\n", + "for i in range(5): #not recommended use xrange instead\n", + " print i#again indentation is meaningful" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "0\n", + "1\n", + "2\n", + "3\n", + "4\n" + ] + } + ], + "prompt_number": 37 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "####Generator\n", + "In previous example, we use `range`. But `range` will be evaluated \n", + "right away and try to put ``[1,2,3,4,5]`` in the memory\n", + "\n", + "This is bad if you try to loop over large number. `for i in range(100000)` will put 100000 numbers in to the memory first. This is very inefficient since you use each one of them once.\n", + "\n", + "To fix this we use generator instead. As far as we are concern they are\n", + "object that spit out number only when ask and doesn't keep it's previous\n", + "states which means no access by index nor going backward. You can read more about it from [python wiki](http://wiki.python.org/moin/Generators). Or just google for python `yield` keyword.\n", + "\n", + "Long story short just use `for i in xrange(5)` instead" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Lazy programming\n", + "#save memory\n", + "for i in xrange(5):\n", + " print i" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "0\n", + "1\n", + "2\n", + "3\n", + "4\n" + ] + } + ], + "prompt_number": 38 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#looping the list\n", + "l = ['a','b','c']\n", + "for x in l:\n", + " print x" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "a\n", + "b\n", + "c\n" + ] + } + ], + "prompt_number": 39 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#you can build your own generator too\n", + "l = [1,2,3,4]\n", + "#(2*y for y in l) is a generator that split out 2*y\n", + "#for every element in l\n", + "#not really a good way to write it but just to show it\n", + "for x in (2*y for y in l):#notice the brackets\n", + " print x" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "2\n", + "4\n", + "6\n", + "8\n" + ] + } + ], + "prompt_number": 40 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#if you need index\n", + "for i,x in enumerate(l):\n", + " print i,x" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "0 1\n", + "1 2\n", + "2 3\n", + "3 4\n" + ] + } + ], + "prompt_number": 41 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#looping dictionary\n", + "d = {'a':1,'b':10,'c':100}\n", + "#items() returns a generator which return tuple\n", + "#k,v in d.items() is tuple expansion in disguise\n", + "for k,v in d.items():\n", + " print k,v" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "a 1\n", + "c 100\n", + "b 10\n" + ] + } + ], + "prompt_number": 42 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#looping over multiple list together\n", + "lx = [1,2,3]\n", + "ly = [x+1 for x in l]\n", + "print l,l2\n", + "for x,y in zip(lx,ly): #there is also itertools.izip that does generator\n", + " print x,y" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "[1, 2, 3, 4] []\n", + "1 2\n", + "2 3\n", + "3 4\n" + ] + } + ], + "prompt_number": 43 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#complete the list with while loop\n", + "x = 0\n", + "while x<5:\n", + " print x\n", + " x+=1" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "0\n", + "1\n", + "2\n", + "3\n", + "4\n" + ] + } + ], + "prompt_number": 44 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "####See Also\n", + "For more complex looping you can look at [itertools](http://docs.python.org/2/library/itertools.html)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "###Function\n", + "Functions in python is a first class object(except in a very few cases)." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def f(x, y): #remember the colon\n", + " print 'x =',x #again indentation\n", + " print 'y =',y\n", + " return x+y\n", + "f(10,20)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "x = 10\n", + "y = 20\n" + ] + }, + { + "output_type": "pyout", + "prompt_number": 45, + "text": [ + "30" + ] + } + ], + "prompt_number": 45 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#python is dynamic typing language\n", + "#specifically it's Duck Typing(wikipedia it. Fun Read.)\n", + "#this means as long as it has the right signature\n", + "#Python doesn't care\n", + "f('hello','world')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "x = hello\n", + "y = world\n" + ] + }, + { + "output_type": "pyout", + "prompt_number": 46, + "text": [ + "'helloworld'" + ] + } + ], + "prompt_number": 46 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#you can pass it by name too\n", + "#this is useful since you can't always remember the order\n", + "#of the arguments\n", + "f(y='y',x='x') # notice i put y before x" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "x = x\n", + "y = y\n" + ] + }, + { + "output_type": "pyout", + "prompt_number": 47, + "text": [ + "'xy'" + ] + } + ], + "prompt_number": 47 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#default/keyword arguments\n", + "def g(x, y, z='hey'):\n", + " #one of the most useful function\n", + " print locals()#return dictionary of all local variables\n", + "g(10,20)\n", + "g(10,20,30)#can do it positionally" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "{'y': 20, 'x': 10, 'z': 'hey'}\n", + "{'y': 20, 'x': 10, 'z': 30}\n" + ] + } + ], + "prompt_number": 48 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "g(10,z='ZZZZ',y='YYYY') #or using keyword" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "{'y': 'YYYY', 'x': 10, 'z': 'ZZZZ'}\n" + ] + } + ], + "prompt_number": 49 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def myfunc(x,y,z, long_keyword=\"111000\"):\n", + " return None" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 50 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#IPython knows about keyword arguments name try type this\n", + "#myfunc(x, y, z, lon\n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 51 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "####Be careful" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#in your programming life time you might be\n", + "#you might be tempting to put a mutable object like list\n", + "#as default argument. Just Don't\n", + "def f(x,y,z=[]): #Don't do this\n", + " pass\n", + "def f(x,y,z=None):\n", + " z = [] if z is None else z" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 52 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "It has to do with [closure](http://en.wikipedia.org/wiki/Closure_(computer_science)). If you wonder why, you can read [\u201cLeast Astonishment\u201d in Python: The Mutable Default Argument](http://stackoverflow.com/questions/1132941/least-astonishment-in-python-the-mutable-default-argument). " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "####Bonus\n", + "This might comes in handy" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#arbitary number of argument C's va_arg\n", + "def h(x,y,*arg,**kwd):\n", + " print locals()\n", + "h(10,20,30,40,50,custom_kwd='hey')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "{'y': 20, 'x': 10, 'kwd': {'custom_kwd': 'hey'}, 'arg': (30, 40, 50)}\n" + ] + } + ], + "prompt_number": 53 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Bonus: more cool stuff.\n", + "#argument expansion\n", + "def g(x, y, z):\n", + " print locals()\n", + "t = (1,2,3)\n", + "g(*t)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "{'y': 2, 'x': 1, 'z': 3}\n" + ] + } + ], + "prompt_number": 54 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#If you know lambda calculus\n", + "f = lambda x: x+1\n", + "f(3)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "pyout", + "prompt_number": 55, + "text": [ + "4" + ] + } + ], + "prompt_number": 55 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "###Classes, Object etc.\n", + "\n", + "Think about Object as pointer to object in C. This will answer so many question about whether we are passing by reference or value or is it copy or assignment. Internally, it actually is C pointer to struct." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#define a class\n", + "class MyClass:\n", + " x = 1 #you can define a field like this\n", + " \n", + " #first argument is called self. It refers to itself\n", + " #think of it as this keyword in C\n", + " def __init__(self, y): #constructor\n", + " self.y = y #or define it here\n", + " \n", + " def do_this(self, z):\n", + " return self.x + self.y + z" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 56 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "a = MyClass(10)\n", + "print a.do_this(100)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "111\n" + ] + } + ], + "prompt_number": 57 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#press a. here for IPython autocomplete\n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 58 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#you can even add field to it\n", + "a.z = 'haha'\n", + "print a.z" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "haha\n" + ] + } + ], + "prompt_number": 59 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#remember when I said think of it as C pointer??\n", + "b = a\n", + "b.x = 999 #change b\n", + "print a.x #printing a.x not b.x" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "999\n" + ] + } + ], + "prompt_number": 60 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#you may think you won't encounter it but...\n", + "a = [1,2,3]\n", + "b = a\n", + "b[1]=10\n", + "print a" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "[1, 10, 3]\n" + ] + } + ], + "prompt_number": 61 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#shallow copy is easy\n", + "a = [1,2,3]\n", + "b = a[:] #remember slicing? it creates a new list\n", + "b[1] = 10\n", + "print a, b" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "[1, 2, 3] [1, 10, 3]\n" + ] + } + ], + "prompt_number": 62 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "####Inheritance\n", + "Python support multiple inheritance aka [mixin](http://stackoverflow.com/questions/533631/what-is-a-mixin-and-why-are-they-useful). You can read about it [here](http://docs.python.org/2/tutorial/classes.html#inheritance)\n", + "We won't need it in our tutorial. The basic syntax is the following." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class Parent:\n", + " x = 10\n", + " y = 20\n", + " \n", + "class Child(Parent):\n", + " x = 30\n", + " z = 50\n", + "\n", + "p = Parent()\n", + "c = Child()\n", + "print p.x\n", + "print c.x" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "10\n", + "30\n" + ] + } + ], + "prompt_number": 63 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "####Bonus" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "####Everything in python is actually an Object.\n", + "This includes string, integer, functions etc. I really mean it." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#this might comes in handy\n", + "'_'.join([\"let's\",'join','this'])" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "pyout", + "prompt_number": 64, + "text": [ + "\"let's_join_this\"" + ] + } + ], + "prompt_number": 64 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "x =1 \n", + "x.real" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "pyout", + "prompt_number": 65, + "text": [ + "1" + ] + } + ], + "prompt_number": 65 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def f(x,y):\n", + " return x+y\n", + "f.func_code.co_varnames #This is used in writing fitting library" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "pyout", + "prompt_number": 66, + "text": [ + "('x', 'y')" + ] + } + ], + "prompt_number": 66 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "####Introspection" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#bonus introspection\n", + "a = MyClass(10)\n", + "dir(a)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "pyout", + "prompt_number": 67, + "text": [ + "['__doc__', '__init__', '__module__', 'do_this', 'x', 'y']" + ] + } + ], + "prompt_number": 67 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "####Class Method(Static method-ish)\n", + "If you need a classmethod(aka static-ish method), there is classmethod [decorator](http://wiki.python.org/moin/PythonDecorators). It's actually just a [Higher order function](http://en.wikipedia.org/wiki/Higher-order_function): a function that returns function (in disguise). But we won't go into details here." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "###Modularizing your code: import\n", + "\n", + "You normally want to put these imports at the top of your file." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math #import module called math" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 68 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "print math.exp(2)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "7.38905609893\n" + ] + } + ], + "prompt_number": 69 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import exp #import exp from math module\n", + "print exp(3)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "20.0855369232\n" + ] + } + ], + "prompt_number": 70 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#not recommended but\n", + "from math import * #import every symbol in that module\n", + "sin(100)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "pyout", + "prompt_number": 71, + "text": [ + "-0.5063656411097588" + ] + } + ], + "prompt_number": 71 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#if you hate typing\n", + "#import it into a symbol\n", + "import math as m\n", + "m.exp(10)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "pyout", + "prompt_number": 72, + "text": [ + "22026.465794806718" + ] + } + ], + "prompt_number": 72 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "####Writing Your Own Module\n", + "For basic stuff: you just write your code and name it `my_module.py` put it in the same directory as the file you want to load my_module then you can do\n", + " \n", + " import my_module\n", + "\n", + "All functions and variables you declared in ``my_module.py`` will be in there. Python has pretty advance module system. You can read about it [here](http://docs.python.org/2/tutorial/modules.html)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "####Bonus: Module search path\n", + "See [The Module Search Path](http://docs.python.org/2/tutorial/modules.html#the-module-search-path). Basically what it says is that it will look for `.py` file or directory with the same name as module you are trying to import in the following order.\n", + "\n", + "1. current directory\n", + "2. stuff in PYTHON_PATH environment variable\n", + "3. site-packages directory (those from python setup.py install)\n", + "\n", + "The path is stored in sys.path which you can manipulate at runtime\n", + "\n", + " import sys\n", + " print sys.path\n", + " sys.path.append(path_to_your_library)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "###Persistence: Read/Write File.\n", + "Python support introspeciton so it can dump object to a file. Most popular way to do this is [pickle](http://docs.python.org/2/library/pickle.html). We won't go into details about it but if you need it just read about it. If you need to read and write a raw file, look [here](http://docs.python.org/2/tutorial/inputoutput.html#reading-and-writing-files)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "###Exception: raise, try catch finally\n" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def f(x):\n", + " #we need x to be >0\n", + " if x<0:\n", + " raise RuntimeError('Dude!! watch what you are doing')\n", + " return 10" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 73 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "f(-1)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "ename": "RuntimeError", + "evalue": "Dude!! watch what you are doing", + "output_type": "pyerr", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mRuntimeError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mf\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;32m\u001b[0m in \u001b[0;36mf\u001b[0;34m(x)\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;31m#we need x to be >0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m<\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mRuntimeError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'Dude!! watch what you are doing'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 5\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0;36m10\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mRuntimeError\u001b[0m: Dude!! watch what you are doing" + ] + } + ], + "prompt_number": 74 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#we can catch with with try except block\n", + "try:\n", + " f(-1)\n", + "except RuntimeError as e:\n", + " print e" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Dude!! watch what you are doing\n" + ] + } + ], + "prompt_number": 75 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "try:\n", + " f(-1)\n", + "except RuntimeError as e:\n", + " print 'hoooooooooooo'\n", + " print e\n", + " raise #you can reraise it" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "ename": "RuntimeError", + "evalue": "Dude!! watch what you are doing", + "output_type": "pyerr", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mRuntimeError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mf\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mRuntimeError\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0me\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;32mprint\u001b[0m \u001b[0;34m'hoooooooooooo'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;32mprint\u001b[0m \u001b[0me\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m\u001b[0m in \u001b[0;36mf\u001b[0;34m(x)\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;31m#we need x to be >0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m<\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mRuntimeError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'Dude!! watch what you are doing'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 5\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0;36m10\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mRuntimeError\u001b[0m: Dude!! watch what you are doing" + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "hoooooooooooo\n", + "Dude!! watch what you are doing\n" + ] + } + ], + "prompt_number": 76 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/notebooks/Extra_01_Basic_Python_Extended.py b/notebooks/Extra_01_Basic_Python_Extended.py new file mode 100644 index 0000000..54a1026 --- /dev/null +++ b/notebooks/Extra_01_Basic_Python_Extended.py @@ -0,0 +1,729 @@ +# -*- coding: utf-8 -*- +# 3.0 + +# + +# Basic Python + +# + +# This is just to give you a glimpse of what Python can do. +# We select only subset of the feature we think will be useful for doing analysis. We also leave links in various place in case you want to do your own further study. +# +# For more complete features, you can look at Python [official documentation](http://docs.python.org/2/) or a book like [Think Python](http://www.greenteapress.com/thinkpython/html/index.html) +# +# In this tutorial we will be using [IPython](http://ipython.org). To execute current cell and go to the next cell in this tutorial press ``Shift+Enter``. If things go wrong you can restart Kernel by either click on Kernel at the top bar and choose restart or press `Ctrl+M+.` (Press that DOT symbol too) + +# + +# Hello World + +# + +#press shift+enter to execute this +print 'Hello world' + +# + +#ipython automatically show representation of +#the return value of the last command +1+1 + +# + +# Data Type(Usual Stuff) + +# + +x = 1 #integer +y = 2.0 #float +t = True #boolean (False) +s = 'hello' #string +s2 = "world" #double quotes works too +#there are also triple quotes google python triple quotes +n=None #Null like variable None. + +# + +print x+y #you can refer to previously assigned variable. + +# + +s+' '+s2 + +# + +#boolean operations +x>1 and (y>=3 or not t) and not s=='hello' and n is None + +# + +#Bonus: The only language I know that can do this +0 < x < 10 + +# + +# ####Bonus: String formatting +# One of the best implentation. There are couple ways to do string formatting in Python. +# This is the one I personally like. + +# + +'x is %d. y is %f'%(x,y) + +# + +#even more advance stuff +#locals returns dictionary of +#local variables which you then use +#in formatting by name +'x is %(x)d. y is %(y)f'%locals() #easier to read + +# + +# ##List, Set, Tuple, Dictionary, Generator + +# + +# List +# ---- +# Think of it as std::vector++ + +# + +l = [1, 2, 3, 4, 5, 6, 7] +print l #[1, 2, 3, 4, 5, 6, 7] +print l[2] #3 +print len(l) # list length +print l[-1] #7 negative index works from the back (-1) +l2 = [] #want an empty list? +print l2 + +# + +#doesn't really need hold the same type +#but don't recommend. You will just get confused +bad_list = ['dog','cat',1,1.234] + +# + +l[1] = 10 #assignment +l + +# + +l.append(999) #append list +l + +# + +#can be created from list com +l.sort() #sort +l + +# + +#searching O(N) use set for O(log(N)) +10 in l + +# + +11 not in l + +# + +#useful list function +range(10) #build it all in memory + +# + +#list comprehension +#we will get to for loop later but for simple one +#list comprehension is much more readable +my_list = [2*x for x in l] +print my_list +my_list = [ (2*x,x) for x in range(10)] +print my_list +my_list = [3*x for x in range(10) if x%2==0] +print my_list + +# + +#This might come in handy +[1]*10 + +# + +# ####Bonus: Python Autocomplete + +# + +#in this cell try my_ and press tab +#IPython knows about local variables and +#can do autocomplete (remember locals()?) + +# + +#try type len( here +#python can give you documentation/function signature etc. + +# + +# Tuple +# ----- +# Think of it as immutable list + +# + +tu = (1,2,3) #tuple immutable list +print tu +tu2 = tuple(l) #convert list to tuple +print tu2 +tu3 = 4,5,6 #parenthesis is actually optional but makes it more readable +print tu3 + +# + +#access +tu[1] +#you can't assign to it + +# + +#tuple expansion +x, y, z = tu +print x #1 +print y #2 +print z #3 +print x, y, z #you can use tuple in print statement too + +x, y, z = 10, 20, 30#parenthesis is actually optional +print z, y, x #any order + +# + +#useful for returning multiple values +def f(x,y): + return x+y, x-y #parenthesis is implied +a, b = f(10,5) +print a #15 +print b #5 +print a, b #works too + +# + +# Dictionary +# ---------- +# +# Think of it as std::map - ish. It's actually a hash table. There is also OrderedDict if you also care about ordering. + +# + +d = {'a':1, 'b':10, 'c':100} +print d #{'a': 1, 'c': 100, 'b': 10} +d2 = dict(a=2, b=20, c=200) #using named argument +print d2 #{'a': 2, 'c': 200, 'b': 20} +d3 = dict([('a', 3),('b', 30),('c', 300)]) #list of tuples +print d3 #{'a': 3, 'c': 300, 'b': 30} +d4 = {x:2*x for x in range(10)}#comprehension (key doesn't have to be string) +print d4 #{0: 0, 1: 2, 2: 4, 3: 6, 4: 8, 5: 10, 6: 12, 7: 14, 8: 16, 9: 18} +d5 = {} #empty dict +print d5 #{} + +# + +print d['a'] #access +print len(d) #count element +d['d'] = 1000#insert +print d #{'a': 1, 'c': 100, 'b': 10, 'd': 1000} +del d['c']#remove +print d #{'a': 1, 'b': 10, 'd': 10} +print 'c' in d #keyexists? + +# + +#use dictionary in comprehension +#d.items() return generator which gives tuple +#k,v in d.items() does tuple expansion in disguise +new_d = {k:2*v for k,v in d.items()} +print new_d #{'a': 2, 'b': 20, 'd': 20} + +# + +# Set +# --- +# Binary tree-ish. Very good at membership searching. O(log(N)) instead of O(N) in list. + +# + +s = {1,2,3,4,5,6} +print s +s2 = set([4, 5, 6, 7, 8, 9, 9, 9, 9]) #from a list +#duplicated element is ignored +print s2 + +# + +#membership this is O(log(n)) +print 3 in s +print 10 in s +print 11 not in s + +# + +print s | s2 #union +print s & s2 #intersection +print s - s2 #differece +print s ^ s2 #symmetric differnce +print {2,3,4} <= s #subset +print s >= {2,3,4} #superset + +# + +#insert +s.update([10,11,12]) +print s +print 11 in s + +# + +# ##Control Flow +# ###if else elif +# Indentation in python is meaningful. There is "NO" bracket scoping in python. +# +# Recommended indentation is 4 spaces not Tab. Tab works but not recommended +# Set your text editor to soft tab. [PEP8](http://www.python.org/dev/peps/pep-0008/) which list all the +# recommended style: space, comma, indentation, new line, comment etc. Fun Read. + +# + +x = 20 +if x>10: #colon + print 'greater than 10'#don't for get the indentation +elif x>5: #parenthesis is not really needed + print 'greater than 5' +else: + print 'not greater than 10' +x+=1#continue your execution with lower indentation +print x + +# + +#shorthand if +y = 'oh yes' if x>100 else 'oh no' #no colon +print y + +# + +#since indentation matters sometime we don't need any statement +if x>10: + print 'yes' +else: + pass #pass keywoard means do nothing +x+=1 +print x + +# + +#why is there no bracket?? +from __future__ import braces #easter egg + +# + +# ###For loop, While loop, Generator, Iterable +# +# There is actually no `for(i=0;i<10;i++)` in python. `list` is an example of iterable. + +# + +#iterate over list +for i in range(5): #not recommended use xrange instead + print i#again indentation is meaningful + +# + +# ####Generator +# In previous example, we use `range`. But `range` will be evaluated +# right away and try to put ``[1,2,3,4,5]`` in the memory +# +# This is bad if you try to loop over large number. `for i in range(100000)` will put 100000 numbers in to the memory first. This is very inefficient since you use each one of them once. +# +# To fix this we use generator instead. As far as we are concern they are +# object that spit out number only when ask and doesn't keep it's previous +# states which means no access by index nor going backward. You can read more about it from [python wiki](http://wiki.python.org/moin/Generators). Or just google for python `yield` keyword. +# +# Long story short just use `for i in xrange(5)` instead + +# + +#Lazy programming +#save memory +for i in xrange(5): + print i + +# + +#looping the list +l = ['a','b','c'] +for x in l: + print x + +# + +#you can build your own generator too +l = [1,2,3,4] +#(2*y for y in l) is a generator that split out 2*y +#for every element in l +#not really a good way to write it but just to show it +for x in (2*y for y in l):#notice the brackets + print x + +# + +#if you need index +for i,x in enumerate(l): + print i,x + +# + +#looping dictionary +d = {'a':1,'b':10,'c':100} +#items() returns a generator which return tuple +#k,v in d.items() is tuple expansion in disguise +for k,v in d.items(): + print k,v + +# + +#looping over multiple list together +lx = [1,2,3] +ly = [x+1 for x in l] +print l,l2 +for x,y in zip(lx,ly): #there is also itertools.izip that does generator + print x,y + +# + +#complete the list with while loop +x = 0 +while x<5: + print x + x+=1 + +# + +# ####See Also +# For more complex looping you can look at [itertools](http://docs.python.org/2/library/itertools.html) + +# + +# ###Function +# Functions in python is a first class object(except in a very few cases). + +# + +def f(x, y): #remember the colon + print 'x =',x #again indentation + print 'y =',y + return x+y +f(10,20) + +# + +#python is dynamic typing language +#specifically it's Duck Typing(wikipedia it. Fun Read.) +#this means as long as it has the right signature +#Python doesn't care +f('hello','world') + +# + +#you can pass it by name too +#this is useful since you can't always remember the order +#of the arguments +f(y='y',x='x') # notice i put y before x + +# + +#default/keyword arguments +def g(x, y, z='hey'): + #one of the most useful function + print locals()#return dictionary of all local variables +g(10,20) +g(10,20,30)#can do it positionally + +# + +g(10,z='ZZZZ',y='YYYY') #or using keyword + +# + +def myfunc(x,y,z, long_keyword="111000"): + return None + +# + +#IPython knows about keyword arguments name try type this +#myfunc(x, y, z, lon + +# + +# ####Be careful + +# + +#in your programming life time you might be +#you might be tempting to put a mutable object like list +#as default argument. Just Don't +def f(x,y,z=[]): #Don't do this + pass +def f(x,y,z=None): + z = [] if z is None else z + +# + +# It has to do with [closure](http://en.wikipedia.org/wiki/Closure_(computer_science)). If you wonder why, you can read [“Least Astonishment” in Python: The Mutable Default Argument](http://stackoverflow.com/questions/1132941/least-astonishment-in-python-the-mutable-default-argument). + +# + +# ####Bonus +# This might comes in handy + +# + +#arbitary number of argument C's va_arg +def h(x,y,*arg,**kwd): + print locals() +h(10,20,30,40,50,custom_kwd='hey') + +# + +#Bonus: more cool stuff. +#argument expansion +def g(x, y, z): + print locals() +t = (1,2,3) +g(*t) + +# + +#If you know lambda calculus +f = lambda x: x+1 +f(3) + +# + +# ###Classes, Object etc. +# +# Think about Object as pointer to object in C. This will answer so many question about whether we are passing by reference or value or is it copy or assignment. Internally, it actually is C pointer to struct. + +# + +#define a class +class MyClass: + x = 1 #you can define a field like this + + #first argument is called self. It refers to itself + #think of it as this keyword in C + def __init__(self, y): #constructor + self.y = y #or define it here + + def do_this(self, z): + return self.x + self.y + z + +# + +a = MyClass(10) +print a.do_this(100) + +# + +#press a. here for IPython autocomplete + +# + +#you can even add field to it +a.z = 'haha' +print a.z + +# + +#remember when I said think of it as C pointer?? +b = a +b.x = 999 #change b +print a.x #printing a.x not b.x + +# + +#you may think you won't encounter it but... +a = [1,2,3] +b = a +b[1]=10 +print a + +# + +#shallow copy is easy +a = [1,2,3] +b = a[:] #remember slicing? it creates a new list +b[1] = 10 +print a, b + +# + +# ####Inheritance +# Python support multiple inheritance aka [mixin](http://stackoverflow.com/questions/533631/what-is-a-mixin-and-why-are-they-useful). You can read about it [here](http://docs.python.org/2/tutorial/classes.html#inheritance) +# We won't need it in our tutorial. The basic syntax is the following. + +# + +class Parent: + x = 10 + y = 20 + +class Child(Parent): + x = 30 + z = 50 + +p = Parent() +c = Child() +print p.x +print c.x + +# + +# ####Bonus + +# + +# ####Everything in python is actually an Object. +# This includes string, integer, functions etc. I really mean it. + +# + +#this might comes in handy +'_'.join(["let's",'join','this']) + +# + +x =1 +x.real + +# + +def f(x,y): + return x+y +f.func_code.co_varnames #This is used in writing fitting library + +# + +# ####Introspection + +# + +#bonus introspection +a = MyClass(10) +dir(a) + +# + +# ####Class Method(Static method-ish) +# If you need a classmethod(aka static-ish method), there is classmethod [decorator](http://wiki.python.org/moin/PythonDecorators). It's actually just a [Higher order function](http://en.wikipedia.org/wiki/Higher-order_function): a function that returns function (in disguise). But we won't go into details here. + +# + +# ###Modularizing your code: import +# +# You normally want to put these imports at the top of your file. + +# + +import math #import module called math + +# + +print math.exp(2) + +# + +from math import exp #import exp from math module +print exp(3) + +# + +#not recommended but +from math import * #import every symbol in that module +sin(100) + +# + +#if you hate typing +#import it into a symbol +import math as m +m.exp(10) + +# + +# ####Writing Your Own Module +# For basic stuff: you just write your code and name it `my_module.py` put it in the same directory as the file you want to load my_module then you can do +# +# import my_module +# +# All functions and variables you declared in ``my_module.py`` will be in there. Python has pretty advance module system. You can read about it [here](http://docs.python.org/2/tutorial/modules.html) + +# + +# ####Bonus: Module search path +# See [The Module Search Path](http://docs.python.org/2/tutorial/modules.html#the-module-search-path). Basically what it says is that it will look for `.py` file or directory with the same name as module you are trying to import in the following order. +# +# 1. current directory +# 2. stuff in PYTHON_PATH environment variable +# 3. site-packages directory (those from python setup.py install) +# +# The path is stored in sys.path which you can manipulate at runtime +# +# import sys +# print sys.path +# sys.path.append(path_to_your_library) + +# + +# ###Persistence: Read/Write File. +# Python support introspeciton so it can dump object to a file. Most popular way to do this is [pickle](http://docs.python.org/2/library/pickle.html). We won't go into details about it but if you need it just read about it. If you need to read and write a raw file, look [here](http://docs.python.org/2/tutorial/inputoutput.html#reading-and-writing-files). + +# + +# ###Exception: raise, try catch finally + +# + +def f(x): + #we need x to be >0 + if x<0: + raise RuntimeError('Dude!! watch what you are doing') + return 10 + +# + +f(-1) + +# + +#we can catch with with try except block +try: + f(-1) +except RuntimeError as e: + print e + +# + +try: + f(-1) +except RuntimeError as e: + print 'hoooooooooooo' + print e + raise #you can reraise it + +# + + diff --git a/notebooks/Extra_02_Navigating_BtaTupleMaker.ipynb b/notebooks/Extra_02_Navigating_BtaTupleMaker.ipynb new file mode 100644 index 0000000..a74a700 --- /dev/null +++ b/notebooks/Extra_02_Navigating_BtaTupleMaker.ipynb @@ -0,0 +1,444 @@ +{ + "metadata": { + "name": "Extra_02_Navigating_BtaTupleMaker" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from root_numpy import root2rec" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 1 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Suppose we want to plot B mass vs D Mass for all candidates. They are associated via Bd1Idx" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "bb = root2rec('data/B0B0bar-BtoDpi-all.root')" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 2 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "bb.dtype" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "pyout", + "prompt_number": 3, + "text": [ + "dtype([('nTracks', '= 0 and Bd1Idx < len(data[idata][idx_Dmass]):\n", + " BMass = data[idata][idx_Bmass][i_B]\n", + " DMass = data[idata][idx_Dmass][Bd1Idx]\n", + " tmp_D.append(DMass)\n", + " tmp_B.append(BMass)\n", + " result[idata]= tmp_B, tmp_D\n", + " \n", + " return result" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 4 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "%timeit process_event(bb)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "1 loops, best of 3: 189 ms per loop\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "tmp = process_event(bb).view(np.recarray)\n", + "print tmp.x\n", + "hist2d(hstack(tmp.x), hstack(tmp.y));" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "[[0.15186194] [0.3673481] [0.24750546] ..., [0.63187182] [0.62510353]\n", + " [0.34479278]]\n" + ] + }, + { + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "A tad smarter way" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#a bit smarter way\n", + "def do_something(sphr, idx, Dmass, nD):\n", + " ret = np.empty(len(sphr),dtype=[('x','O'),('y','O')])\n", + " for i_data in xrange(len(sphr)):\n", + " good_idx = (idx[i_data] >=0) & (idx[i_data] < nD[i_data])\n", + " x = sphr[i_data][good_idx]\n", + " y = Dmass[i_data][idx[i_data][good_idx]]\n", + " ret[i_data]= x,y\n", + " return ret" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 7 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "%timeit do_something(bb.BSphrROE, bb.Bd1Idx, bb.DMass, bb.nD)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "10 loops, best of 3: 96.2 ms per loop\n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "tmp = do_something(bb.BSphrROE, bb.Bd1Idx, bb.DMass, bb.nD).view(np.recarray)\n", + "print tmp.x\n", + "hist2d(hstack(tmp.x), hstack(tmp.y));" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "[[ 0.15186194] [ 0.3673481] [ 0.24750546] ..., [ 0.63187182] [ 0.62510353]\n", + " [ 0.34479278]]\n" + ] + }, + { + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Generic way with blockwise_inner_join" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from root_numpy import blockwise_inner_join" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 10 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#data to two block\n", + "#left block is scalar sl and array al\n", + "#right block is ar\n", + "#two types of foreign key fk and s_fk \n", + "#notice some foreign keys are invalid(-1) those are discarded\n", + "test_data = np.array([\n", + " (1.0,np.array([11,12,13]),np.array([1,0,1]),0,np.array([1,2,3])),\n", + " (2.0,np.array([21,22,23]),np.array([-1,2,-1]),1,np.array([31,32,33]))\n", + " ],\n", + " dtype=[('sl',np.float),('al','O'),('fk','O'),('s_fk',np.int),('ar','O')])" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 11 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "blockwise_inner_join(test_data, ['sl','al'], test_data['fk'], ['ar'] )" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "pyout", + "prompt_number": 12, + "text": [ + "array([(1.0, 11, 2, 1), (1.0, 12, 1, 0), (1.0, 13, 2, 1), (2.0, 22, 33, 2)], \n", + " dtype=[('sl', '" + ] + } + ], + "prompt_number": 17 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If you want to emulate multiple join, say we want to B -> D -> K, do this:" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "first_join = blockwise_inner_join(bb,Bblock+Kblock,bb.Bd1Idx,Dblock, force_repeat=Kblock).view(np.recarray)\n", + "second_join = blockwise_inner_join(first_join,Bblock+Dblock, first_join.Dd1Idx, Kblock).view(np.recarray)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 18 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "print len(second_join)\n", + "print second_join.dtype" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "3334\n", + "[('BCosSphr', '3.0 + +# + +from root_numpy import root2rec + +# + +# Suppose we want to plot B mass vs D Mass for all candidates. They are associated via Bd1Idx + +# + +bb = root2rec('data/B0B0bar-BtoDpi-all.root') + +# + +bb.dtype + +# + +#most obvious way but not very pleasant +#you can clean it up but you get the idea + +def process_event(data): + idx_Bd1Idx = data.dtype.names.index('Bd1Idx') + idx_Dmass = data.dtype.names.index('DMass') + idx_Bmass = data.dtype.names.index('BSphrROE') #hmmm i don't have BMass? + + result = np.zeros(len(data), dtype=[('x','O'),('y','O')]) + for idata in xrange(len(data)): + tmp_B = [] + tmp_D = [] + for i_B in xrange(len(data[idata][idx_Bd1Idx])): + Bd1Idx = data[idata][idx_Bd1Idx][i_B] + if Bd1Idx >= 0 and Bd1Idx < len(data[idata][idx_Dmass]): + BMass = data[idata][idx_Bmass][i_B] + DMass = data[idata][idx_Dmass][Bd1Idx] + tmp_D.append(DMass) + tmp_B.append(BMass) + result[idata]= tmp_B, tmp_D + + return result + +# + +%timeit process_event(bb) + +# + +tmp = process_event(bb).view(np.recarray) +print tmp.x +hist2d(hstack(tmp.x), hstack(tmp.y)); + +# + +# A tad smarter way + +# + +#a bit smarter way +def do_something(sphr, idx, Dmass, nD): + ret = np.empty(len(sphr),dtype=[('x','O'),('y','O')]) + for i_data in xrange(len(sphr)): + good_idx = (idx[i_data] >=0) & (idx[i_data] < nD[i_data]) + x = sphr[i_data][good_idx] + y = Dmass[i_data][idx[i_data][good_idx]] + ret[i_data]= x,y + return ret + +# + +%timeit do_something(bb.BSphrROE, bb.Bd1Idx, bb.DMass, bb.nD) + +# + +tmp = do_something(bb.BSphrROE, bb.Bd1Idx, bb.DMass, bb.nD).view(np.recarray) +print tmp.x +hist2d(hstack(tmp.x), hstack(tmp.y)); + +# + +# Generic way with blockwise_inner_join + +# + +from root_numpy import blockwise_inner_join + +# + +#data to two block +#left block is scalar sl and array al +#right block is ar +#two types of foreign key fk and s_fk +#notice some foreign keys are invalid(-1) those are discarded +test_data = np.array([ + (1.0,np.array([11,12,13]),np.array([1,0,1]),0,np.array([1,2,3])), + (2.0,np.array([21,22,23]),np.array([-1,2,-1]),1,np.array([31,32,33])) + ], + dtype=[('sl',np.float),('al','O'),('fk','O'),('s_fk',np.int),('ar','O')]) + +# + +blockwise_inner_join(test_data, ['sl','al'], test_data['fk'], ['ar'] ) + +# + +blockwise_inner_join(test_data, ['sl','al'], test_data['fk'], ['ar'], force_repeat=['al']) + +# + +blockwise_inner_join(test_data, ['sl','al'], test_data['s_fk'], ['ar'] ) + +# + +Bblock = [n for n in bb.dtype.names if n.startswith('B')] +Dblock = [n for n in bb.dtype.names if n.startswith('D')] +Kblock = [n for n in bb.dtype.names if n.startswith('K')] + +# + +%timeit a = blockwise_inner_join(bb,Bblock,bb.Bd1Idx,Dblock).view(np.recarray) + +# + +a = blockwise_inner_join(bb,Bblock,bb.Bd1Idx,Dblock).view(np.recarray) +print a[0] +print a.dtype +hist2d(a.BSphrROE,a.DMass); + +# + +# If you want to emulate multiple join, say we want to B -> D -> K, do this: + +# + +first_join = blockwise_inner_join(bb,Bblock+Kblock,bb.Bd1Idx,Dblock, force_repeat=Kblock).view(np.recarray) +second_join = blockwise_inner_join(first_join,Bblock+Dblock, first_join.Dd1Idx, Kblock).view(np.recarray) + +# + +print len(second_join) +print second_join.dtype + +# + +second_join[0] + +# + + diff --git a/notebooks/random-forest.p b/notebooks/random-forest.p deleted file mode 100644 index 7b70dcf..0000000 --- a/notebooks/random-forest.p +++ /dev/null @@ -1,2894 +0,0 @@ -ccopy_reg -_reconstructor -p0 -(csklearn.ensemble.forest -RandomForestClassifier -p1 -c__builtin__ -object -p2 -Ntp3 -Rp4 -(dp5 -S'feature_importances_' -p6 -NsS'base_estimator' -p7 -g0 -(csklearn.tree.tree -DecisionTreeClassifier -p8 -g2 -Ntp9 -Rp10 -(dp11 -S'find_split_' -p12 -I1 -sg6 -NsS'tree_' -p13 -NsS'n_features_' -p14 -NsS'n_outputs_' -p15 -NsS'min_density' -p16 -F0.1 -sS'compute_importances' -p17 -I00 -sS'classes_' -p18 -NsS'min_samples_leaf' -p19 -I1 -sS'max_features' -p20 -NsS'random_state' -p21 -NsS'criterion' -p22 -S'gini' -p23 -sS'min_samples_split' -p24 -I1 -sS'max_depth' -p25 -NsS'n_classes_' -p26 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@@ +\documentclass{beamer} +\usepackage{hyperref} + +% \usepackage{beamerthemesplit} // Activate for custom appearance +\begin{document} + +\frame{ + \frametitle{Python Analysis Tool Tutorial} + \begin{block}{By} + Piti Ongmongkolkul and Chih-hsiang Cheng + \end{block} + \begin{block}{Our Websites} + \small\url{http://piti118.github.com/babar_python_tutorial/} + \end{block} + \begin{block}{Hypernews} + Python/IPython Analysis Tools\\ + \tiny\url{http://babar-hn.slac.stanford.edu:8080/HyperNews/get/pythonAnalTools.html} + \end{block} + \begin{block}{Agenda} + \begin{itemize} + \item Very Basic Python + \item Reading root file and plotting them + \item Multivariate Analysis + \item Fitting + \end{itemize} + \end{block} + +} + +\frame +{ + \frametitle{Security Notice} + \begin{block}{Short Version} + {\color{red}DO NOT} use IPython notebook on shared computers (yakut noric etc.). The default setting is very unsecure. + \end{block} + \begin{block}{Long Version} + {\color{red}DO NOT} use IPython notebook on shared computers unless you know what you are doing. + \begin{itemize} + \item The default setting only listen on localhost with no password. This is OK on your personal computer. But, on shared computer everyone is on localhost. + \item IPython executes code as you. So, anyone with access to localhost will be able + to execute code as you. This means they can delete your files and edit your codes and a bunch of other things. + \item It is possible to setup password and have it binds to non-localhost/specific port etc. But, I won't go into details but the keyword is \emph{IPython profile}. + \end{itemize} + \end{block} +} + +\frame{ + \frametitle{Help us develop} + \begin{block}{root\_numpy, iminuit, probfit are relatively young} + If you are interested in helping. Look at their github pages. + \begin{itemize} + \item root\_numpy \url{https://github.com/rootpy/root_numpy} + \item iminuit \url{https://github.com/iminuit/iminuit} + \item probfit \url{https://github.com/iminuit/probfit} + \end{itemize} + \end{block} + \begin{block}{Git is different.} + You don't need to ask for write permission to repository. You clone repository do your magic and tell us ``hey, look at my amazing work" by making a pull request. Don't be shy.\\ + I often make pull request to matplotlib and IPython. It's fun. + \end{block} + +} +\end{document} diff --git a/presentation/slides.pdf b/presentation/slides.pdf index f6e877a..589615f 100644 Binary files a/presentation/slides.pdf and b/presentation/slides.pdf differ diff --git a/presentation/slides.tex b/presentation/slides.tex index b4808fb..2dfcfc5 100644 --- a/presentation/slides.tex +++ b/presentation/slides.tex @@ -27,7 +27,7 @@ \frametitle{Advertisement} \begin{block}{Time and Location:} \begin{itemize} - \item Setup Session. 1 hour.\\ Monday Jan 28 2013 12:20pm-13:20pm Redwood C/D. + \item Setup Session. 1.5 hour.\\ Monday Jan 28 2013 16:00-17:30 Redwood C/D. \item Tutorial Session. 4 hour.\\ Thursday Jan 31 2013 8:30am-12:30pm Redwood C/D. \end{itemize} \end{block} @@ -125,83 +125,6 @@ \end{columns} \end{frame} -\begin{frame}[fragile, shrink=5]{Good Interactive Environment will Change Your Workflow} -\tikzstyle{decision} = [diamond, draw, fill=yellow!20, - text width=4.5em, text badly centered, inner sep=0pt] -\tikzstyle{block} = [rectangle, draw, fill=blue!20, - text width=8em, text centered, rounded corners, minimum height=2em] -\tikzstyle{blockslow} = [rectangle, draw, fill=red!20, - text width=8em, text centered, rounded corners, minimum height=2em] - -\tikzstyle{line} = [draw, -latex'] -\tikzstyle{cloud} = [draw, ellipse,fill=green!20, - minimum height=2em] - \begin{columns} - \begin{column}[t]{0.5\textwidth} - Root CINT - \resizebox{!}{0.8\textheight}{ - \begin{tikzpicture}[node distance = 2cm, auto] - % Place nodes - \node [cloud] (start) {start}; - \node [block, below of=start] (init) {Write Script}; - \node [blockslow, below of=init] (load) {Load ROOT File.\\Takes a long time}; - \node [block, below of=load] (plot) {Plot Stuff}; - \node [decision, below of=plot] (like) {Like it?}; - \node [decision, left of=like, node distance=4cm] (tired) {Tired?}; - \node [cloud, below of=like, node distance=3cm] (done) {Done}; - \node [block, left of=load, node distance=4cm] (cint) {Try Edit CINT}; - \node [block, left of=init, node distance=4cm] (giveup) {Give Up CINT}; - \node [cloud, below of=tired, node distance=3cm] (quit) {Quit Physics}; - % Draw edges - \path [line] (start) -- (init); - \path [line] (init) -- (load); - \path [line] (load) -- (plot); - \path [line] (plot) -- (like); - \path [line] (like) -- node {Yes} (done); - \path [line] (like) -- node {No} (tired); - \path [line] (tired) -- node {No} (cint); - \path [line] (tired) -- node {Yes} (quit); - \path [line] (cint) -- (giveup); - \path [line] (giveup) -- (init); - \end{tikzpicture} - } - \end{column} - \begin{column}[t]{0.5\textwidth} - IPython + Matplotlib - \resizebox{!}{0.8\textheight}{ - \begin{tikzpicture}[node distance = 2cm, auto] - % Place nodes - \node [cloud] (start) {start}; - \node [block, below of=start] (init) {Write Script}; - \node [blockslow, below of=init] (load) {Load ROOT File.\\Takes a long time}; - \node [block, below of=load] (plot) {Plot Stuff}; - \node [block, below left of=plot, node distance=5cm, yshift=2.5cm, text width=10em] (ipython) {Edit Cell in IPython}; - \node [decision, below of=plot] (like) {Like it?}; - \node [cloud, below of=like, node distance=3cm] (done) {Done}; - - % Draw edges - \path [line] (start) -- (init); - \path [line] (init) -- (load); - \path [line] (load) -- (plot); - \path [line] (plot) -- (like); - \path [line] (like) -- node {Yes} (done); - \path [line] (like) -| node {No} (ipython); - \path [line] (ipython) |- (plot); - - %\path [line] (init) -- (identify); - %\path [line] (identify) -- (evaluate); - %\path [line] (evaluate) -- (decide); - %\path [line] (decide) -| node [near start] {yes} (update); - %\path [line] (update) |- (identify); - %\path [line] (decide) -- node {no}(stop); - %\path [line,dashed] (expert) -- (init); - %\path [line,dashed] (system) -- (init); - %\path [line,dashed] (system) |- (evaluate); - \end{tikzpicture}} - \end{column} - \end{columns} -\end{frame} - \begin{frame}[shrink=5]{Plots looks nice by default} \begin{columns} \begin{column}{0.6\textwidth} @@ -302,7 +225,7 @@ \begin{minted}[frame=lines]{python} def pdf(x, mu, sigma, alpha): return complicated_function(x,mu,sigma,alpha) - lh = BinLH(pdf,data)#knows about mu, sigma, alpha + lh = UnbinnedLH(pdf,data) # knows about mu, sigma, alpha m = Minuit(lh) m.migrad() \end{minted} @@ -310,24 +233,106 @@ \end{frame} \frame{ -\frametitle{Want to learn about all these?} +\frametitle{Conclusion} +\begin{block}{Topics} +\begin{itemize} + \item Basic Python + \item Reading ROOT File and Plotting + \item Multivariate Analysis + \item Fitting +\end {itemize} +\end{block} \begin{block}{Time and Location:} \begin{itemize} - \item Setup Session. 1 hour.\\ Monday Jan 28 2013 12:20pm-13:20pm Redwood C/D. + \item Setup Session. 1.5 hour.\\ Monday Jan 28 2013 16:00-17:30 Redwood C/D. \item Tutorial Session. 4 hour.\\ Thursday Jan 31 2013 8:30am-12:30pm Redwood C/D. \end{itemize} \end{block} \begin{block}{Prepare your laptop in advance} -Visit our website for instruction. You are strongly encouraged to try to prepare your laptop before the setup session. If there is any problem, just come to Setup Session. We will try our best to help. - -\url{http://piti118.github.com/babar_python_tutorial/} +Visit our website for instruction. \url{http://piti118.github.com/babar_python_tutorial/} \end{block} -\begin{block}{Can't attend the tutorial?} -The materials on the website is designed so that you learn it by yourself. They are all downloadable. -\end{block} + } +\begin{frame}[c] + \centerline{\Large Backup} +\end{frame} +\begin{frame}[fragile, shrink=5]{Good Interactive Environment will Change Your Workflow} +\tikzstyle{decision} = [diamond, draw, fill=yellow!20, + text width=4.5em, text badly centered, inner sep=0pt] +\tikzstyle{block} = [rectangle, draw, fill=blue!20, + text width=8em, text centered, rounded corners, minimum height=2em] +\tikzstyle{blockslow} = [rectangle, draw, fill=red!20, + text width=8em, text centered, rounded corners, minimum height=2em] + +\tikzstyle{line} = [draw, -latex'] +\tikzstyle{cloud} = [draw, ellipse,fill=green!20, + minimum height=2em] + \begin{columns} + \begin{column}[t]{0.5\textwidth} + Root CINT + \resizebox{!}{0.8\textheight}{ + \begin{tikzpicture}[node distance = 2cm, auto] + % Place nodes + \node [cloud] (start) {start}; + \node [block, below of=start] (init) {Write Script}; + \node [blockslow, below of=init] (load) {Load ROOT File.\\Takes a long time}; + \node [block, below of=load] (plot) {Plot Stuff}; + \node [decision, below of=plot] (like) {Like it?}; + \node [decision, left of=like, node distance=4cm] (tired) {Tired?}; + \node [cloud, below of=like, node distance=3cm] (done) {Done}; + \node [block, left of=load, node distance=4cm] (cint) {Try Edit CINT}; + \node [block, left of=init, node distance=4cm] (giveup) {Give Up CINT}; + \node [cloud, below of=tired, node distance=3cm] (quit) {Quit Physics}; + % Draw edges + \path [line] (start) -- (init); + \path [line] (init) -- (load); + \path [line] (load) -- (plot); + \path [line] (plot) -- (like); + \path [line] (like) -- node {Yes} (done); + \path [line] (like) -- node {No} (tired); + \path [line] (tired) -- node {No} (cint); + \path [line] (tired) -- node {Yes} (quit); + \path [line] (cint) -- (giveup); + \path [line] (giveup) -- (init); + \end{tikzpicture} + } + \end{column} + \begin{column}[t]{0.5\textwidth} + IPython + Matplotlib + \resizebox{!}{0.8\textheight}{ + \begin{tikzpicture}[node distance = 2cm, auto] + % Place nodes + \node [cloud] (start) {start}; + \node [block, below of=start] (init) {Write Script}; + \node [blockslow, below of=init] (load) {Load ROOT File.\\Takes a long time}; + \node [block, below of=load] (plot) {Plot Stuff}; + \node [block, below left of=plot, node distance=5cm, yshift=2.5cm, text width=10em] (ipython) {Edit Cell in IPython}; + \node [decision, below of=plot] (like) {Like it?}; + \node [cloud, below of=like, node distance=3cm] (done) {Done}; + % Draw edges + \path [line] (start) -- (init); + \path [line] (init) -- (load); + \path [line] (load) -- (plot); + \path [line] (plot) -- (like); + \path [line] (like) -- node {Yes} (done); + \path [line] (like) -| node {No} (ipython); + \path [line] (ipython) |- (plot); + + %\path [line] (init) -- (identify); + %\path [line] (identify) -- (evaluate); + %\path [line] (evaluate) -- (decide); + %\path [line] (decide) -| node [near start] {yes} (update); + %\path [line] (update) |- (identify); + %\path [line] (decide) -- node {no}(stop); + %\path [line,dashed] (expert) -- (init); + %\path [line,dashed] (system) -- (init); + %\path [line,dashed] (system) |- (evaluate); + \end{tikzpicture}} + \end{column} + \end{columns} +\end{frame} \end{document}