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Extracting the multiscale backbone of complex weighted networks
{
"metadata": {
"name": "extracting the multiscale backbone of complex weighted networks.ipynb"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#Extracting the multiscale backbone of complex weighted networks\n",
"\n",
"trying to understand this paper.\n",
"\n",
"this method requires that all nodes already have edges. does not specify how to assign weight of the edges. possibly assumes a raw co-occurrence count?\n",
"\n",
"strength of node $i$ ($s_i$) = sum of the weights of all edges connecting to node $i$\n",
"\n",
"normalize weights of all edges. normalized weight of edge between nodes $i$ and $j$, $p_{ij}$ = $\\frac{w_{ij}}{s_i}$. note that normalized weight is relative to each node, so before pruning an edge, check significance for BOTH nodes.\n",
"\n",
"p-value, $p(x) = (k - 1)(1 - x)^{k-2}$. k is # of edges and x is the normalized edge weight $p_{ij}$\n",
"\n",
"if p-value is < cutoff (e.g. 0.05), keep the edge. otherwise prune the edge.\n",
"\n",
"prune any nodes that do not have edges?"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"xs = arange(0, 1.01, 0.01)\n",
"ks = range(2, 21)\n",
"\n",
"for k in ks:\n",
" pvals = []\n",
" for x in xs:\n",
" pval = (k - 1) * (1 - x) ** (k - 2)\n",
" pval = min(pval, 1.0)\n",
" pvals.append(pval)\n",
" \n",
" figure()\n",
" title(\"# of edges connecting to the node = \" + str(k))\n",
" xlabel(\"normalized weight\")\n",
" ylabel(\"p-value\")\n",
" ylim(-0.05, 1.05)\n",
" xlim(-0.05, 1.05)\n",
" plot(xs, pvals, label=\"edge p-value\")\n",
" plot([0.05] * len(xs), color=\"black\", label=\"0.05 cutoff\")\n",
" legend()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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C3377DWvWrEHz5s1LuqxS68aNG/Dw8ECtWrVw+PBh7Nmzp0BDfURFhUM9REQqwyt+IiKV\nMS7pAgriZZxJkIioNMhtUKfUXPE/vv+6sF8zZ8587n1L6xf7rI4v9lkdXy/S57yUmuAnIqKiweAn\nIlKZMh/8Op2upEsoduyzOrDP6mCIPpeK2zk1Gs0zx6uIiCinvLLToFf8o0aNQvXq1dGiRYs820yd\nOhW2trZwcnJ65kRQRPR8LC0tlTl0+FU2vywtLQv1M2HQK/5Dhw7BzMwMb7/9Nk6fPp1je0hICKZM\nmYLt27djz5498PPzw86dO3MWySt+oufG35+yL6/nuESu+Dt06ACtVpvn9mPHjmHAgAGwtLSEt7c3\nzp8/b8hyiIgIJfzibkhICOzs7JTlqlWr4sqVKyVYERFR2Vei79zN7U0Geb1L19fXV/lep9MV+JVu\nvumXiNQiMDBQ+dyIZzH4XT0xMTHo3bt3rmP8CxcuxMOHDzF58mQAQIMGDXK94ucYJdHzKyu/P4GB\ngRg2bBiuXbtW0qU8N51Oh2HDhmH06NFFetyXaow/P66urti0aRNu3bqF9evXo1mzZiVZDhGRQT2+\nC6ekGXSox9vbGwcPHkRiYiKsra0xa9YsZGZmAgB8fHzQpk0btG/fHs7OzrC0tMS6desMWQ4REcHA\nV/wbNmxAXFwcHjx4gGvXrmHUqFHw8fGBj4+P0mbu3LmIjo5GWFgYr/iJVCY5ORnz58+Hvb09evTo\ngb/++kvZlpmZicWLF8PW1haurq457vq7evUq3nnnHdSoUQNjxozB0KFDMWPGDGX7qVOnMG7cONSt\nWxcffvghYmNj86zDyMgIq1evRqtWrWBvb49ff/011yGSjIwMWFhY4OzZs8q6hIQEmJqaIjExEcnJ\nyejVqxeqVauGRo0a4fPPP8fNmzdzPaevry+GDRumLMfExMDIyAjZ2dkAgHv37mHFihXKBfLGjRuL\nbMiuzE/ZQEQvr9GjRyM6Ohr79+/HtGnTMHLkSERGRgIAli1bhpUrV2Lbtm2YN28e5s+frzdM0r9/\nf1hYWODMmTOwt7fHxo0ble23bt2CTqdDjx49cObMGVhZWcHb2/uZtSxfvhzr1q3DkiVLMHXqVL0/\nQo+9+uqr6N+/PzZs2KCs8/f3h06ng5WVFUQEo0ePRmxsLHbv3o2QkBD88MMPuZ4vvyGfzz77DAEB\nAfD398eiRYswe/ZsBAQEPHOfApNSoJSUSfRSyu/3Byiar8K6c+eO1KxZU9LT05V1kyZNkv/+978i\nItKjRw9ZsWKFsm3GjBlSp04dERG5ceOGVKhQQe7du6dsr1u3rsyYMUNERJYvXy5jx45Vtj18+FCq\nVasmN27cyLUWjUajd66pU6fK+++/n2vbgIAAadCggbLcrl07Wbt2ba5t9+7dK82bN1eWdTqdcp6Z\nM2fK0KFDlW3R0dGi0WgkKytLsrOzpV69ehIbG6ts//777+Xdd9/N9Tx5Pcd5recVP5HKFVX0F9bh\nw4eRkJCAWrVqQavVQqvVYuXKlTh8+DCAR+/zcXBwUNo7Ojoq34eEhKBRo0aoUKGCsq5169bK9wEB\nAfDz81OOa2VlhbS0NBw6dCjPep4+199//w0AsLe3R6VKlVCpUiUcOXIEOp0O6enpCAkJQUxMDE6e\nPIl+/foBALKzszFt2jR06NABFhYW6N+/P86dO1foIZoLFy4gNjYWLVu2VPowc+ZMHDlypFDHyUup\n+AQuIip73NzcULVqVcTExKB8+fI5trdp0wYRERFKoIeHhyvbXFxccPnyZdy/f18J//DwcGVesM6d\nO8PS0hJLliwpcD1Pn6tdu3YAoDee/9jAgQOxYcMGVKtWDb1790bFihUBABs3bsSuXbuwadMm1KtX\nD4GBgfD09ISI5BjaqVOnDoKDg/XO/1iTJk1Qp04dHD16FDVr1ixwHwqKV/xEVCIsLCzQvn17TJs2\nDVevXkVWVhbOnDmD48ePAwB69uyJpUuX4syZMzh8+DA2btyo7FujRg3Y29vD19cXiYmJWLBgAW7c\nuKFsHzhwIDZv3oytW7ciLS0NaWlp2LVrF+7evZtnPStXrsSZM2dw6NAh/Pbbb+jVq1eebQcPHoxf\nf/0V69evx+DBg5X1cXFxsLCwgJWVFS5duoSvv/46x76Pr/47d+6Mo0ePIjw8HBcvXsSiRYuUNkZG\nRnjrrbfwySef4Pz588jOzsaVK1cQFBRUgEe2AHIdAHrJlJIyiV5KL/Pvz61bt+SHH34QZ2dn0Wq1\n4ubmJvv27RMRkYyMDFm4cKHUq1dPXF1dZcmSJWJtba3sGxUVJaNHj5Zq1arJ6NGjpV+/fjJv3jxl\ne0REhEycOFFq1aolNWvWlIEDB0pqamqudWg0Glm9erW0bNlSmjVrJn5+fpKdnf3M2hs2bChVqlSR\nzMxMZd3t27fF29tbqlatKq1bt5b169eLkZGRZGVliYj+GL+IyLfffisNGjQQR0dH2bBhg17btLQ0\nWblypXTq1EnMzc3F0dFRfvvtt1xryes5zms95+MnKuPU8PsjIqhZsyb++OMPvbH+gjIyMkJkZCRs\nbW0NUJ3hFfaduxzjJ6JSKSgoCI0bN0a5cuXw448/Ijs7+7lCX404xk9EpdLFixfh4OCAxo0bIy4u\nDnv27HnuY70M0ygUJw71EJVx/P0p+0rVJG1ERFT8GPxERCrD4CciUhkGPxGRyjD4iYhUhsFPRGRA\n/v7+aN26NSpXrozk5GRERESgR48eMDc3x/bt20ukJgY/EZWYtLQ0DB06FFWrVkWLFi2wc+fOZ7b/\n+eef0ahRI9SsWROTJk1CVlaWsk2n08HExESZSdMQH+wUGBgIa2vrQu0zbdo0fPfdd7hz5w60Wi0W\nLVqEtm3bIiUlBa+//nqR11gQDH4iKjETJ05EbGwsjhw5gnfeeQeDBw9GdHR0rm2DgoLwySefYPbs\n2di5cycOHDiAr776Stmu0WiwaNEipKamIjU1NccndpWE+Ph4REVFwd3dXVl35MgRZebPEvPMWYhe\nEqWkTKKX0sv6+5Oeni6mpqZy+PBhZZ2np6d8/vnnubYfPny4jBkzRllev3691K1bV1nW6XTy888/\nF/j8+/fvlyFDhohWqxU7OzuJiIgQkUcTtl25ckXvvNOnT5e0tDSpUKGCGBkZiZmZmVSqVEni4+Ml\nMzNT1q5dK66urtK2bVtZt26dZGZmysWLF6VixYqi0WjEzMxMOnfuLA0aNBAjIyMxMTGRSpUqyYMH\nDwpc77Pk9RzntZ5X/ERUImJjY3Hv3j1lDn0AaNGiBS5cuJBr+0uXLum1bd68Oa5du4b79+8r66ZO\nnQpra2tMnDgRJ0+ezPPcERERGDRoELy8vPDvv/9i+/btsLS0zLWtRqOBRqOBqakpdu/ejVq1aiE1\nNRV37txBjRo1sHbtWnzzzTf48ccfsWjRIsybNw/r1q1D48aNlbn8U1JSsG/fPkRGRqJu3brYuXMn\n7ty5g3LlyhXqMSsqDH4ilXscbC/6VVi3bt2ChYUFKleurKyrX78+bt26lWf7+vXrK8uPZ9J83P7r\nr79GdHQ0wsLCUKtWLfTo0UPvNYAn/frrr/D29oa3tzfKlSuHBg0aoG7dunnWKv+b9kBymf5g69at\neO+99+Ds7IzWrVvjvffew5YtW/Js/zJg8BOpnIgUyVdhValSBbdv38adO3eUdVFRUbCyssqzfVRU\nlF7bx+uBR5/YVbFiRVSrVg2ffvoprKys8nyxODAwUG/c/UUEBwfDyclJWXZycnrmRzy+DBj8RFQi\n6tatCxMTE5w6dUpZd/r0aTRt2jTX9k2aNMHp06f12tatW1fvc3ef9KzJ6Tw8PJTP9n1arVq19D7N\nKzw8XPmP5pVXXslxTHd3d+VTwwDg+PHj6NixY67Hflkw+ImoRJiYmMDb2xvTp0/H5cuXsXDhQhw9\nehQjRozItf2oUaOwdetW/Pbbbzh+/Djmzp2LMWPGAHg0hr5nzx7cv38fiYmJmDdvHhITE/O8XXLQ\noEHw9/eHv78/Hjx4gMjISMTGxgIAunTpglWrVuH27dtYsWKF3msOrVq1QmJiIuLj45V1ffr0wdKl\nSxEWFoaIiAgsXboUffv2LaJHyUCK5CVlAyslZRK9lF7m35+0tDQZMmSIVKlSRZo3by47d+5Utl29\nelXMzMzk2rVryrqffvpJGjZsKDVq1JCJEycqH1OYkJAgLi4uUqlSJbGxsZEJEyZIaGjoM8+9b98+\neeutt8Tc3FxatGghJ06cEBGRc+fOyYABA6R69ery7rvvyttvvy0zZsxQ9psxY4Y0bNhQtFqtxMfH\ny4MHD+SXX36RNm3aiKurq6xZs0a5Wyc6Olrv4xRFROrVq6d8vGRRyes5zms95+MnKuP4+1P2cT5+\nIiJ6JgY/EZHKMPiJiFTGuKQLICLD0mq1qvswcbXRarWFas8Xd4mIyii+uEtERAAMHPxBQUFo1qwZ\nGjVqhIULF+bYfu/ePQwfPhyOjo7o1KkTtm3bZshyiIgIBh7qcXR0xIIFC2BjY4Pu3bvj8OHDevNw\nLF26FKdOncLixYtx9epVdO7cGZGRkTnGIznUQ0RUeMU+1JOSkgIA6NixI2xsbODp6Yljx47ptTE3\nN0dqaioyMzORlJQEU1NTvghFRGRgBrurJzQ0VG+yJTs7Oxw9ehReXl7KOm9vb+zYsQNWVlZ4+PAh\n/v777zyP5+vrq3yv0+mg0+kMUTYRUakVGBiIwMDAfNuV6O2cP/74I4yNjREfH4/Tp0/Dy8sLV69e\nhZFRzn9Engx+IiLK6emL4lmzZuXazmBDPS4uLnqz2p09exZt27bVaxMUFIQhQ4bA1NQUrq6uqFWr\nFi5dumSokoiICAYMfnNzcwCPwj0mJgZ79+6Fq6urXpsuXbpgx44dyM7ORlRUFJKSkvKci5uIiIqG\nQYd65s+fDx8fH2RmZmLixImwsrLCsmXLAAA+Pj4YNGgQzp07B2dnZ1StWhULFiwwZDlERAS+c5eI\nqMziO3eJiAgAg5+ISHUY/EREKsPgJyJSGQY/EZHKMPiJiFSGwU9EpDIMfiIilWHwExGpDIOfiEhl\nGPxERCrD4CciUhkGPxGRyjD4iYhUhsFPRKQyDH4iIpVh8BMRqQyDn4hIZRj8REQqw+AnIlIZBj8R\nkcow+ImIVIbBT0SkMgx+IiKVYfATEakMg5+ISGUY/EREKsPgJyJSGQY/EZHKMPiJiFSGwU9EpDIM\nfiIilTFo8AcFBaFZs2Zo1KgRFi5cmGub0NBQuLi4oFmzZtDpdIYsh4iIAGhERAx1cEdHRyxYsAA2\nNjbo3r07Dh8+DCsrK2W7iKBly5b4/vvv0bVrVyQmJuptV4rUaGDAMomIyqS8stNgV/wpKSkAgI4d\nO8LGxgaenp44duyYXpvjx4+jZcuW6Nq1KwDkGvpERFS0jA114NDQUDRt2lRZtrOzw9GjR+Hl5aWs\n27NnDzQaDTp06AALCwu8//776N69e67H8/X1Vb7X6XQcFiIiekpgYCACAwPzbWew4C+I+/fv48SJ\nEwgICEB6ejq6deuGM2fOwMTEJEfbJ4OfiIhyevqieNasWbm2M9hQj4uLCy5cuKAsnz17Fm3bttVr\n4+bmhh49eqBGjRqwtbWFs7MzgoKCDFUSERHBgMFvbm4O4NGdPTExMdi7dy9cXV312rRt2xYHDx5E\neno6kpKSEBERAXd3d0OVREREKOBQT3x8PPbv348hQ4YgISEBd+/eRf369fPdb/78+fDx8UFmZiYm\nTpwIKysrLFu2DADg4+ODKlWqYOTIkXB2dkbVqlUxe/ZsmJmZvViPiIjomfK9nXP58uVYv3494uLi\ncOnSJVy/fh0DBw7EkSNHiqtG3s5JRPQcnvt2zrVr1+Kvv/5CxYoVAQC1a9dGampq0VdIRETFIt/g\nNzc3h5HR/28WGxuLOnXqGLQoIiIynHyDf/jw4RgyZAhu376NWbNmoVevXhgzZkxx1EZERAZQoCkb\nYmJisGnTJmRnZ2PQoEGwtrYujtoUHOMnIiq8vLLToHP1FBUGPxFR4eWVnfnezmlmZgaNRgMAyMjI\nwMOHD2FmZoY7d+4UfZVERGRw+Qb/3bt3le/T09OxZs0a3Lhxw6BFERGR4TzXUI+dnR3OnTtniHpy\nxaEeIqIu6TrZAAASXUlEQVTCe+6hnk2bNinfZ2Rk4ODBg3BwcCja6oiIqNjkG/w7duxQxvgrVKgA\nd3d39OrVy+CFERGRYfCuHiKiMqrQQz0TJkx45sF++OGHoqmMiIiKVZ7B7+TkpAzxPP0X4/F6IiIq\nfTjUQ0RURj33XT1JSUnYuHEj9uzZg+TkZOVg+/fvL/oqiYjI4PKdpG369OlISUnBuXPnMGnSJFhY\nWKBTp07FURsRERlAvkM9jo6OiIiIQIsWLXDy5Encv38fHTp0QFhYWHHVyKEeIqLn8NxDPa+++iqA\nR5+Pu3r1ajRs2JAhTERUiuV7xb9jxw506NABCQkJ+PLLL3H9+nVMmzYNHh4exVUjr/iJiJ7Dc0/L\nnJCQgKpVqxqssIJg8BMRFd5zf+Zuu3bt4OnpiRUrVih39RARUemVb/BfvnwZX3zxBc6cOQMnJyf0\n6tULa9euLY7aiIjIAAr1Bq7ExERMnjwZfn5+yM7ONmRdejjUQ0RUeM891JOSkoLVq1ejR48ecHNz\nQ82aNREaGmqQIomIyPDyveKvX78++vTpg7feegtubm7FVZceXvETERXec9/Vk52dDSOjR/8Y7Ny5\ns0Tm4mfwExEV3nMH/5Mev4u3uDH4iYgK77nH+ImIqGzJN/gzMjKwadMmjB07FlqtFps3b0ZGRkZx\n1EZERAaQ71w9c+fOxalTp+Dt7Q0A2LBhA06fPo2ZM2cavDgiIip6+Y7xN2vWDCdOnFAma8vIyICD\ngwPOnz9fLAUCHOMnInoeLzRlwx9//KEs//nnnwW+rTMoKAjNmjVDo0aNsHDhwjzbhYaGwtjYGJs3\nby7QcYmI6Pnle8VvZ2eHCxcuwNzcHMCjN3Q1bdoUr7zyCjQaDU6dOpXnvo6OjliwYAFsbGzQvXt3\nHD58GFZWVnptsrKy0K1bN5iammLkyJHo379/ziJ5xU9EVGjPPR//k1f7hZGSkgIA6NixIwDA09MT\nx44dg5eXl167hQsXYsCAAXw3MBFRMck3+OvVq/dcBw4NDUXTpk2VZTs7Oxw9elQv+K9fv45t27Zh\n//79CA0NhUajyfN4vr6+yvc6nQ46ne656iIiKqsCAwMRGBiYb7t8g9+QPvjgA8ydO1f5d+RZwzlP\nBj8REeX09EXxrFmzcm1nsOB3cXHBRx99pCyfPXsWr732ml6bsLAwDBo0CMCjmT///PNPlCtXDq+/\n/rqhyiIiUj2DBf/jF4ODgoJQt25d7N27N8e9/1FRUcr3I0eORO/evRn6REQGZtChnvnz58PHxweZ\nmZmYOHEirKyssGzZMgCAj4+PIU9NRER5KNQkbSWFt3MSERUeJ2kjIiIADH4iItVh8BMRqQyDn4hI\nZRj8REQqw+AnIlIZBj8Rkcow+ImIVIbBT0SkMgx+IiKVYfATEakMg5+ISGUY/EREKsPgJyJSGQY/\nEZHKMPiJiFSGwU9EpDIMfiIilWHwExGpDIOfiEhlGPxERCrD4CciUhkGPxGRyjD4iYhUhsFPRKQy\nDH4iIpVh8BMRqQyDn4hIZRj8REQqw+AnIlIZBj8Rkcow+ImIVMbgwR8UFIRmzZqhUaNGWLhwYY7t\nfn5+aNWqFVq1aoXBgwfj0qVLhi6JiEjVNCIihjyBo6MjFixYABsbG3Tv3h2HDx+GlZWVsv3vv/+G\nnZ0dzM3N8csvvyAgIABr167VL1KjgYHLJCIqc/LKToNe8aekpAAAOnbsCBsbG3h6euLYsWN6bdzc\n3GBubg4A8PLywsGDBw1ZEhGR6hkb8uChoaFo2rSpsmxnZ4ejR4/Cy8sr1/bLly9H7969c93m6+ur\nfK/T6aDT6YqyVCKiUi8wMBCBgYH5tjNo8BdGQEAA1q1bh+Dg4Fy3Pxn8RESU09MXxbNmzcq1nUGH\nelxcXHDhwgVl+ezZs2jbtm2OdqdOncK4ceOwfft2WFhYGLIkIiLVM2jwPx67DwoKQkxMDPbu3QtX\nV1e9NrGxsejfvz/8/PzQsGFDQ5ZDREQohqGe+fPnw8fHB5mZmZg4cSKsrKywbNkyAICPjw9mz56N\npKQkjBs3DgBQrlw5hISEGLosIiLVMvjtnEWBt3MSERVeidzOSURELx8GPxGRyjD4iYhUhsFPRKQy\nDH4iIpVh8BMRqQyDn4hIZRj8REQqw+AnIlIZBj8Rkcow+ImIVIbBT0SkMgx+IiKVYfATEakMg5+I\nSGUY/EREKsPgJyJSGQY/EZHKMPiJiFSGwU9EpDIMfiIilWHwExGpDIOfiEhlGPxERCrD4CciUhnj\nki7A0DQaTUmXQET0UinzwS8iJV0CEVGJyOvCl0M9REQqw+AnIlIZBj8Rkcow+ImIVMagwR8UFIRm\nzZqhUaNGWLhwYa5tpk6dCltbWzg5OeHChQuGLIeIiGDg4J80aRKWLVuGgIAALFq0CImJiXrbQ0JC\ncOjQIRw/fhz/+c9/8J///MeQ5RAREQwY/CkpKQCAjh07wsbGBp6enjh27Jhem2PHjmHAgAGwtLSE\nt7c3zp8/b6hyiIjofwwW/KGhoWjatKmybGdnh6NHj+q1CQkJgZ2dnbJctWpVXLlyxVAlERERSvgN\nXCKS4w1Web3hwNfXV/lep9NBp9MZsDIiotInMDAQgYGB+bbTiIHe2pqSkgKdToeIiAgAwIQJE/Da\na6/By8tLabNw4UI8fPgQkydPBgA0aNAg1yt+jUbDd+ASERVSXtlpsKEec3NzAI/u7ImJicHevXvh\n6uqq18bV1RWbNm3CrVu3sH79ejRr1sxQ5RAR0f8YdKhn/vz58PHxQWZmJiZOnAgrKyssW7YMAODj\n44M2bdqgffv2cHZ2hqWlJdatW2fIcoiICAYc6ilKHOohIiq8Yh/qISKil1OZD/6CvMJd1rDP6sA+\nq4Mh+szgL4PYZ3Vgn9WBwU9ERC+MwU9EpDKl5q4eIiIqvNwivlR85m4p+NtERFRqcKiHiEhlGPxE\nRCpTZoJfjZ/2lV+f/fz80KpVK7Rq1QqDBw/GpUuXSqDKolWQ5xl4NC24sbExNm/eXIzVFb2C9Dc0\nNBQuLi5o1qxZmZi1Nr8+37t3D8OHD4ejoyM6deqEbdu2lUCVRWfUqFGoXr06WrRokWebIs8uKSMc\nHBzk4MGDEhMTI02aNJGEhAS97ceOHRN3d3e5deuWrF+/Xry8vEqo0qKTX5+Dg4Pl9u3bIiKyevVq\nGTp0aEmUWaTy67OIyMOHD8XDw0O8vLzk999/L4Eqi05+/c3OzpbmzZvL3r17RURyfTxKm/z6vGTJ\nEhk/fryIiMTExIitra1kZ2eXRKlFIigoSMLDw6V58+a5bjdEdpWJK341ftpXQfrs5uamzJLq5eWF\ngwcPFnudRakgfQYeTfc9YMAAVK1atbhLLFIF6e/x48fRsmVLdO3aFQBgZWVV7HUWpYL02dzcHKmp\nqcjMzERSUhJMTU1L9Z1/HTp0gFarzXO7IbKrTAS/Gj/tqyB9ftLy5cvRu3fv4ijNYArS5+vXr2Pb\ntm0YP348gNJ9K3BB+rtnzx5oNBp06NABvXv3xp49e4q7zCJVkD57e3sjKysLVlZWaN++Pfz8/Iq7\nzGJliOwqFbdzFgUpxKd9lTUBAQFYt24dgoODS7oUg/vggw8wd+5cZVbCp5/zsub+/fs4ceIEAgIC\nkJ6ejm7duuHMmTMwMTEp6dIM5scff4SxsTHi4+Nx+vRpeHl54erVqzAyKhPXsTkYIrvKxCPl4uKi\n94LH2bNn0bZtW702rq6uOHfunLKckJAAW1vbYquxqBWkzwBw6tQpjBs3Dtu3b4eFhUVxlljkCtLn\nsLAwDBo0CPXr18emTZvw7rvvYvv27cVdapEoSH/d3NzQo0cP1KhRA7a2tnB2dkZQUFBxl1pkCtLn\noKAgDBkyBKampnB1dUWtWrXKxI0LeTFEdpWJ4Ffjp30VpM+xsbHo378//Pz80LBhw5Ios0gVpM9R\nUVGIjo5GdHQ0BgwYgCVLluD1118viXJfWEH627ZtWxw8eBDp6elISkpCREQE3N3dS6LcIlGQPnfp\n0gU7duxAdnY2oqKikJSUpDc8VNYYIrvKzFCPGj/tK78+z549G0lJSRg3bhwAoFy5cggJCSnJkl9Y\nfn0ua/Lrb5UqVTBy5Eg4OzujatWqmD17NszMzEq46heTX58HDRqEc+fOKX1esGBBCVf8Yry9vXHw\n4EEkJibC2toas2bNQmZmJgDDZVepmKuHiIiKTpkY6iEiooJj8BMRqQyDn4hIZRj8REQqw+An+p96\n9eohKSkJAIrklsjVq1djwoQJL3ycx+Li4vDmm2/m2y6vu3q2bdtW6qcqoaLB4KcyISsr64WP8eS7\nIY8cOVKkxysKtWrVwsaNG5/7vFu2bNF7IxCpF4OfXgoxMTGws7PDe++9Bzs7O4wbN065l/ny5csY\nNWoUHBwcMHPmTKSmpgIAdDodPvvsMzg7O2PBggXw8PDA9OnT4eDgAEdHR0RGRmLAgAFo3rw5li5d\nqpyrX79+cHJyQufOnbFly5Zc63l81fz555/D0dERjo6OqF27NkaNGgXg0TQYb775Jtzc3PDVV18p\n+/31119wc3NDmzZtcOLEiVyP3bJlS9y5cwcigipVqmDt2rUAgLfffhsBAQEQEfz000/o1q0bunbt\nqkwtHRMTo0zde//+fcyePRv29vYYNGgQ3N3dER4erpzjiy++gL29PQYPHoykpCQEBwdjx44d+Oij\nj+Do6IioqKjCP0lUdrzw/J5ERSA6Olo0Go0EBARIVlaWdO/eXQ4ePCgiIv369ZNff/1VMjMzZfz4\n8bJ48WIREdHpdOLt7S0ZGRnK8pgxYyQrK0t8fX1Fq9VKZGSkpKamirW1tTJ1b1JSkoiIpKSkiKOj\no1JDvXr15NatWyIiYmZmplff7du3pUWLFhIeHi5paWnStWtXuXfvnmRlZYm3t7ccPXpUHj58KPXq\n1ZPIyEhJTEwUBwcHmTBhQo6+jhs3Tnbt2iWnT58WFxcXeeedd0REpFGjRpKeni4HDhyQKVOmSHZ2\ntty9e1ccHR0lIyNDoqOjlal7/f39ZeDAgZKRkSH79+8XjUYjYWFhIiKi0Wjk559/FhGRMWPGyC+/\n/CIiIiNGjJBNmza96FNFZQCv+OmlUbt2bXTp0gVGRkbo1KkT/v77b2RmZiI0NBQDBw6EsbExRo4c\nqTf3zuDBg1G+fHll2dvbG0ZGRnBzc4O9vT0aNGgAMzMzWFtbK8Mcv/76K7p06QJ3d3dERUXh9OnT\nz6xLRDBkyBB8+OGHcHR0xJ9//olz587Bzc0NTk5OiIiIwIEDB3Ds2DE0b94cDRo0QJUqVdCnT59c\nJ4nr0KEDgoKCcOjQIYwfPx6nTp1CXFwctFotTExMsGnTJuzcuROtW7dG+/btkZKSkuusnIMGDUL5\n8uXh4eEBGxsbZZuxsTGGDBkCAOjcuTP+/vtvvb4QlZkpG6j0e3ISufLlyyMtLU1ZFhFlxs0n1apV\nK9djlC9fPsfxMjIyEBUVhSVLliAwMBCWlpZwdHREcnLyM+vy9fVF3bp1MXz4cABAdnY2PD09sWrV\nKr12BZ39tGPHjvjxxx9Rr149fPnll9iyZQt+//13dOzYUTn+tGnTlPM9FhMTo3z/rNcPXn31VVSo\nUAHAo2k67t+/X6D9SD14xU8vLRFBuXLl0KZNG2zatAkPHz7EL7/8gj59+ui1Kczx4uPjUbVqVVha\nWuLIkSM4efLkM/fZsWMH9u3bpzcfTO/evXHo0CHlDpmkpCTExsaibdu2OHv2LKKionDr1i1s3749\n16CtU6cOEhMTERkZifr166N9+/aYN2+eEvyDBw/GmjVrkJCQAAC4dOkS0tPT9Y7RvXt3+Pv748GD\nBzh48CCuXr2ab/9tbGxw8+bNfNtR2cfgp5fG0yH5eHnu3Ln4888/4ezsDCsrKwwdOjTPfZ5cn9vx\n3N3dYWNjg2bNmmH+/PnKJ1flVcv333+PuLg4tGnTBo6OjvD19UWFChXw008/YcaMGWjZsiU8PT1x\n48YNGBkZYdmyZRgyZAh69OiBTp065dnXtm3bonHjxgCA9u3bIy4uDu3btwfw6FbSwYMH480330SL\nFi0wfvx45a6lx3X16tULTZo0gYODA5YsWQJ7e3tluOfJfj/5OLzxxhtYv349HB0dER0dnWdtVPZx\nkjaiUig7OxuZmZl49dVXERoaig8++KBIbkEldeAYP1EplJ6eDg8PD9y/fx+NGzfGt99+W9IlUSnC\nK34iIpXhGD8Rkcow+ImIVIbBT0SkMgx+IiKVYfATEakMg5+ISGX+HxRoPX2llCmFAAAAAElFTkSu\nQmCC\n",
"text": [
"<matplotlib.figure.Figure object at 0x10ccc0410>"
]
},
{
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure object at 0x10cd13b50>"
]
},
{
"output_type": "display_data",
"png": 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fMTXQ0xOmbOZWP6uLuMXPmAqPHwNt2wJnzwr/ra1MTU2RnZ0tdQymQSYmJsjK\nyiq1XOVfAlz4GVPtiy+A+/eBjRulTsJYxXHhZ6wSMjOFET4XLwItWkidhrGKkaSPPzIyEnZ2dmjX\nrh3Wrl1bav3Tp08xbtw4ODs7o2fPnti/f78m4zBWYWZmwPjx/FB2VrdotMXv7OyMNWvWwNLSEr6+\nvoiKilKYh2PDhg24cOECfvzxR9y+fRs+Pj5ISkoqNeETt/iZlO7cARwdgevXAXNzqdMwVn7V3uLP\nyckBAPTo0QOWlpbo168foqOjFbYxMjJCbm4uCgsLkZWVBX19/UrN8seYJrVoAYwYAaxeLXUSxtRD\nV1MHjo2NVZhsyd7eHmfPnoWfn5+4zN/fHwcPHoSZmRmKiopw5swZlccLDAwU/y2XyyGXyzURmzGl\nPv0UcHUF/vMfwMRE6jSMKRceHo7w8PAyt9NY4S+PH374Abq6ukhPT8fFixfh5+eH27dvQ0en9B8i\nLxd+xqqblRUweLDweMaFC6VOw5hyrzaKFy9erHQ7jXX1uLm5Kcxqd/nyZXh4eChsExkZiYCAAOjr\n68Pd3R3NmzfHjRs3NBWJsSqZNw9YuxbIzZU6CWNVo7HCb2RkBEAo7qmpqTh69Cjc3d0VtunduzcO\nHjyIkpISJCcnIysrS+Vc3IxJrX17oHdvYMMGqZMwVjUa7epZvXo1pkyZgsLCQsycORNmZmbY+O+d\nMFOmTMGoUaNw5coVuLq6wtzcHGvWrNFkHMaq7PPPgT59gA8/BPT1pU7DWOXwDVyMVdCwYcJ0zbNn\nS52EsdfjO3cZU5Pz54G33gKSk4XJ3BirqXh2TsbUpHNnwMMD2LRJ6iSMVQ63+BmrhMREYOBA4NYt\nQMWzvhmTHLf4GVMjZ2fhhq6ffpI6CWMVxy1+xiopPh4YMgRISuJWP6uZuMXPmJq5uABdunCrn9U+\n3OJnrApe9PUnJfEIH1bzcIufMQ1wdga6duUndLHahVv8jFXRi3H9t27x3bysZuEWP2Ma0rmzcCfv\n+vVSJ2GsfLjFz5gaXLwI9O0r9PUbGEidhjEBt/gZ0yBHR0AuF+brZ6ym4xY/Y2py7Rrg7S20+v+d\nlZwxSXGLnzENs7UF/PyAVaukTsLY63GLnzE1Sk4Whndevw40bix1GqbtuMXPWDWwtgaGDwe+/Vbq\nJIypxi1+xtTsn3+EIZ5XrgDNmkmdhmkzfhALY9Xok0+AwkIe5cOkxYWfsWqUkSFc7I2LA6yspE7D\ntBX38TNX6RBsAAAdvElEQVRWjczNgY8+AgIDpU7CWGnc4mdMQx4/Btq1A44fBxwcpE7DtBG3+Bmr\nZo0aAXPnAgsWSJ2EMUXc4mdMg54+Bdq3B3bvFh7Qzlh14hY/YxLQ0wMWLwY+/RTgtgurKbjwM6Zh\n770HZGYCf/4pdRLGBFz4GdMwXV1g6VLgs8+A4mKp0zDGhZ+xajF4MGBoCAQFSZ2EMb64y1i1iYoC\nAgKECdwaNJA6DdMGfHGXMYl5eQFOTjyNA5Met/gZq0YvHtZy/Tpgaip1GlbX8Vw9jNUQ06YB+vrA\nypVSJ2F1HRd+xmqI+/eFKRxiY3kCN6ZZkvTxR0ZGws7ODu3atcPatWuVbhMbGws3NzfY2dlBLpdr\nMg5jNULTpsDMmcDnn0udhGkrjbb4nZ2dsWbNGlhaWsLX1xdRUVEwMzMT1xMROnXqhFWrVqFPnz7I\nzMxUWC+G5BY/q2Py8oSpHPbtEx7VyJgmVHuLPycnBwDQo0cPWFpaol+/foiOjlbYJi4uDp06dUKf\nPn0AQGnRZ6wuatgQ+PJLYPZsnsqBVT9dTR04NjYWtra24mt7e3ucPXsWfn5+4rLQ0FDIZDJ4e3vD\n2NgYH330EXx9fZUeL/Clic3lcjl3C7Fab9w44Pvvgb17gWHDpE7D6oLw8HCEh4eXuZ3GCn95PHv2\nDOfOnUNYWBjy8/PRt29fXLp0CXp6eqW2DeQnWrA65o03hJE9H3wADBwIvPmm1IlYbfdqo3jx4sVK\nt9NYV4+bmxuuXbsmvr58+TI8XpmX1tPTE/3790ezZs1gbW0NV1dXREZGaioSYzVO797CCB++qYtV\nJ40VfiMjIwDCyJ7U1FQcPXoU7u7uCtt4eHggIiIC+fn5yMrKQmJiIrp3766pSIzVSN98AyxfLszg\nyVh1KFfhT09PR9C/s0tlZGQgJSWlXAdfvXo1pkyZgj59+mD69OkwMzPDxo0bsXHjRgBA48aNMWHC\nBLi6umLo0KFYsmQJDAwMKnkqjNVOtraAvz/wxRdSJ2HaoszhnJs2bUJwcDDu3r2LGzdu4M6dOxgx\nYgROnTpVXRl5OCer87KyhF8AYWFAp05Sp2F1RaWHc+7YsQN///03GjZsCABo0aIFcnNz1Z+QMS1m\naiq0+D/5hId3Ms0rs/AbGRlBR+f/b5aWloaWLVtqNBRj2mjqVGE6h/37pU7C6royC/+4ceMQEBCA\nR48eYfHixRg4cCAmTZpUHdkY0yq6usCqVcCcOUBBgdRpWF1WrikbUlNTsWfPHpSUlGDUqFFo1apV\ndWQTcR8/0yZDhgCensKjGhmrCp6dk7Fa4tYtwN0dOH8eaNFC6jSsNqt04TcwMIBMJgMAFBQUoKio\nCAYGBnj8+LFmkirBhZ9pmwULgJQUfkYvqxpVtbPMKRuePHki/js/Px/bt2/HvXv31JuOMaZg3jzA\nzg44eVJ4Yhdj6lSprh57e3tcuXJFE3mU4hY/00a7dgHLlgHx8cK8PoxVVKW7evbs2SP+u6CgABER\nEcjNzUVwcLD6U6rAhZ9pIyLAxwcYPhz48EOp07DaqNKFf/z48WIff4MGDeDp6YmBAwfCtBqfFM2F\nn2mry5cBuVz4b5MmUqdhtQ2P6mGslvrPf4CHD4GtW6VOwmqbChf+GTNmvPZg33//vfrSlYELP9Nm\nubnChd5duwCevJZVRIVH9bi4uIhdPK/u+GI5Y0zzDA2FB7Z8+CEQFyfc4ctYVXBXD2O1ABHQt6/w\npK6PP5Y6DastKt3Hn5WVhd27dyM0NBTZ2dniwY4fP66ZpEpw4WcMuH5d6OrhO3pZeVV6WuYFCxYg\nJycHV65cwaxZs2BsbIyePXtqJCRjTLUOHYTuHm7xs6oqs8Xv7OyMxMREODo64vz583j27Bm8vb0R\nHx9fXRm5xc/Yv549AxwdgTVrgAEDpE7DarpKt/jffPNNAMLzcbdt24a4uDguwoxJpEEDYN06oeWf\nny91GlZbldniP3jwILy9vZGRkYGvvvoKd+7cwfz589GrV6/qysgtfsZe4e8PWFoKD2lnTJVKX9zN\nyMiAubm5xoKVBxd+xhTdvy90+Rw9CnTuLHUaVlNVuqunW7du6NevHzZv3iyO6mGMSatpU2ECt8mT\ngeJiqdOw2qbMwn/z5k18+eWXuHTpElxcXDBw4EDs2LGjOrIxxl5j4kRAX1/o82esIip0A1dmZiY+\n+eQTBAUFoaSkRJO5FHBXD2PKXb8OeHkBCQlANT8RldUCle7qycnJwbZt29C/f394enrCwsICsbGx\nGgnJGKuYDh2AWbOAqVOFu3sZK48yW/xWVlYYMmQIRo4cCU9Pz+rKpYBb/Iyp9vw54OYGzJ0LBARI\nnYbVJJUe1VNSUgIdHeEPg0OHDmHgwIGaSfgaXPgZe724OMDPD7h4keftZ/+fWubjf3EXb3Xjws9Y\n2ebOBdLSgN9+kzoJqykq3cfPGKsdFi8Wns+7f7/USVhNV2bhLygowJ49ezB58mSYmJhg7969KCgo\nqI5sjLEK0NMDtmwBpk8HsrKkTsNqsjK7ehYvXowLFy7A398fALBr1y507NgRixYtqpaAAHf1MFYR\ns2YJj2rcuVPqJExqle7jt7Ozw7lz58TJ2goKCuDk5ISrV69qJqkSXPgZK7+8PGEah5UrgSFDpE7D\npFSlKRuOHDkivv7zzz/LPawzMjISdnZ2aNeuHdauXatyu9jYWOjq6mLv3r3lOi5jTLWGDbnLh71e\nmS1+e3t7XLt2DUZGRgCEG7psbW3xxhtvQCaT4cKFCyr3dXZ2xpo1a2BpaQlfX19ERUXBzMxMYZvi\n4mL07dsX+vr6mDBhAoYNG1Y6JLf4GauwWbOAjAwgOFjqJEwqFX7Y+gsvt/YrIicnBwDQo0cPAEC/\nfv0QHR0NPz8/he3Wrl2L4cOH893AjKnZsmWAszOwezfw7rtSp2E1SZmFv02bNpU6cGxsLGxtbcXX\n9vb2OHv2rELhv3PnDvbv34/jx48jNjYWMplM5fECAwPFf8vlcsjl8krlYkxb6OsD27cDgwcL8/lY\nWEidiGlaeHg4wsPDy9yuzMKvSR9//DGWL18u/jnyuu6clws/Y6x83N2BDz4Qpm8+eBB4TduK1QGv\nNooXL16sdDuN3cDl5uaGa9euia8vX74MDw8PhW3i4+MxatQoWFlZYc+ePZg+fToOHDigqUiMaaWF\nC4G7d4HNm6VOwmqKCk3ZUFEvLu62bt0ab731ltKLuy9MmDABgwYNwjvvvFM6JF/cZaxKLl8G5HLg\nzBnAxkbqNKy6VPriblWsXr0aU6ZMQWFhIWbOnAkzMzNs3LgRADBlyhRNvjVj7CUODkLLf8wYICoK\n0JW0k5dJTaMtfnXhFj9jVVdSAvTvD3h6AnzJTDuoZXZOqXDhZ0w97t4FunQB9u0TfgGwuo1n52SM\noXlzYP164YEt/95qw7QQt/gZ00LTpgmFPyiIh3jWZdziZ4yJVq4Ezp8XbvBi2odb/IxpqYsXAR8f\n4NQpoH17qdMwTeAWP2NMgaOj8NSuUaOAZ8+kTsOqE7f4GdNiRMDw4cI8Pj/8IHUapm7c4meMlSKT\nCVM5HDkC/P671GlYdeEWP2MMsbGAnx9w9ixgbS11GqYu3OJnjKnk5gZ8/rkwbz/399d93OJnjAEQ\n+vtHjABMTYF/p9RitRy3+Bljr/Wivz88nMf313Xc4meMKXgxvv/4cWHIJ6u9uMXPGCsXR0dg1Srg\nnXeAR4+kTsM0gVv8jDGlZs4Ebt0SHtmow03EWolb/IyxClm5EsjNBZYskToJUzcu/IwxperVA0JC\nhAu+Bw9KnYapE3f1MMZeKzoaGDQIiIgA7OykTsMqgrt6GGOV4u4OfPstMHgwkJUldRqmDtziZ4yV\ny3/+I8zh/+ef/LD22oKfucsYq5LiYmDgQGHu/jVrpE7DyoO7ehhjVfLGG8CvvwJHjwrP7WW1F//B\nxhgrN2Nj4NAhoHt3YRZPX1+pE7HK4BY/Y6xCrK2B3buBsWOBy5elTsMqgws/Y6zCvLyA774T+vzv\n3ZM6Daso7uphjFXKmDFASorwAJeICMDAQOpErLx4VA9jrNKIgMmTgfR0YP9+HuZZ0/CoHsaY2slk\nwgif4mJg+nThFwGr+bjwM8aqpF494WJvQgIQGCh1GlYe/IcZY6zKDA2BI0eEYZ5Nmwqtf1ZzceFn\njKlFkybA338D3t6Aubnw4HZWM3HhZ4ypjZUVcPgw0K8f0KgR3+BVU2m8jz8yMhJ2dnZo164d1q5d\nW2p9UFAQOnfujM6dO2P06NG4ceOGpiMxxjSoc2dg3z7hBq+oKKnTMGU0PpzT2dkZa9asgaWlJXx9\nfREVFQUzMzNx/ZkzZ2Bvbw8jIyP88ssvCAsLw44dOxRD8nBOxmqdo0eBgABhNk8XF6nTaCdJhnPm\n5OQAAHr06AFLS0v069cP0dHRCtt4enrCyMgIAODn54eIiAhNRmKMVZO+fYGNG4UbvC5elDoNe5lG\n+/hjY2Nha2srvra3t8fZs2fh5+endPtNmzZh0KBBStcFvjROTC6XQy6XqzMqY0wDhg4FCgqEvv6w\nMMDeXupEdVt4eDjCw8PL3K7GXNwNCwvDzp07cfr0aaXrA3mAMGO10qhRQFGR8BfA8eNAhw5SJ6q7\nXm0UL168WOl2Gu3qcXNzw7Vr18TXly9fhoeHR6ntLly4gKlTp+LAgQMwNjbWZCTGmATGjAG++gro\n3Ru4fl3qNEyjhf9F331kZCRSU1Nx9OhRuLu7K2yTlpaGYcOGISgoCDY2NpqMwxiT0PjxwP/+B/j4\nAFeuSJ1Gu2m8q2f16tWYMmUKCgsLMXPmTJiZmWHjxo0AgClTpmDJkiXIysrC1KlTAQD16tVDTEyM\npmMxxiQwfrwwkVufPkBoKODoKHUi7cSzczLGqt1vvwEffyzc7MVDPTVHVe2sMRd3GWPaY9QooEED\noH9/4PffgR49pE6kXXh2TsaYJN5+GwgOBoYNE27yYtWHCz9jTDJ9+gAHDgh9/0FBUqfRHtzVwxiT\nlKenML6/f3/g/n1g9mypE9V9fHGXMVYj/POPcIfvgAHAN98AOtwfUWWqaicXfsZYjZGVBQwZAlhY\nAL/8AujpSZ2oduNn7jLGajxTU2FWT11d4UavBw+kTlQ3ceFnjNUoDRoIF3r79gU8PIDLl6VOVPdw\nVw9jrMbasUO42LtlC6Bi4l72GtzHzxirlaKjhbH+06cD8+YBMpnUiWoPLvyMsVrrzh1hbv9WrYCt\nW4Xn+bKy8cVdxlit1aIFEBkJmJkB7u7A1atSJ6rduPAzxmqFBg2ERznOnSvM7RMcLHWi2ou7ehhj\ntc65c8DIkYCXF/D990DDhlInqpm4q4cxVmc4OQHx8UBhIeDmBly4IHWi2oULP2OsVjIwALZvBz77\nTHik44oVQEmJ1KlqB+7qYYzVeikpwNixQL16wLZtgKWl1IlqBu7qYYzVWVZWQESEMMmbqyuwfj23\n/l+HW/yMsTrlyhVg4kRhgreffgJsbKROJB1u8TPGtIK9PXDqFDBwoDDXz//+BxQUSJ2qZuHCzxir\nc954A5gzRxj5ExMjjAI6flzqVDUHd/Uwxuq8/fuBTz4BnJ2F0T9WVlInqh7c1cMY01pDhgh9/y4u\nwrj/zz4DsrOlTiUdLvyMMa3QoAEwfz5w/jzw8CHQoYPQ+n/6VOpk1Y8LP2NMq7RoIYz2iYgAoqKE\nUT9r1wLPnkmdrPrU+T5+GU/ezRjTYspqp64EOapVLfi9xhirAeLjga+/Bk6cAKZMAT76CGjWTOpU\nVaOq4ctdPYwxBuHCb0gIcPYskJUF2NkBo0cL9wTUtfZjne/qYYyxynj0SJj3Z9064S7giROBgADA\n3FzqZOXHj15kjLFKKCkRLgRv2QIcPAjI5cCoUcKdwQYGUqd7PS78jDFWRTk5wL59wK5dwOnTQJ8+\nwODBwIABNfMvAUlu4IqMjISdnR3atWuHtWvXKt1m3rx5sLa2houLC65du6bJOIwxViVGRsD48cCf\nfwLJycCgQcCBA0C7doCnJ7BggTA1RE0fGqrRFr+zszPWrFkDS0tL+Pr6IioqCmZmZuL6mJgYzJ49\nGwcOHEBoaCiCgoJw6NCh0iG5xc8Yq8EKCoSLwMeOCYX/wgXA0VGYJM7dHejcGWjfHtCt5nGU1d7V\nk5OTA7lcjsTERADAzJkz4evrCz8/P3GbtWvXori4GB9//DEAoG3btrh161a5wzPGWE2UlwfExQkj\nhGJihF8Ed+4Idwvb2Ahf1tbCzWTNmwvDRk1MgDffVG8OVbVTY79/YmNjYWtrK762t7fH2bNnFQp/\nTEwMxo4dK742NzfHrVu30LZtW03FYowxjWvYEOjZU/h64ckT4OpV4NYtICkJOHMGuHsXSE8Xvh49\nAnR0gEaNgPr1haeJ1asn/NJo0EC9+SS9gYuISv02UnXDQWBgoPhvuVwOuVyuwWSMMaZeBgbCBHFu\nbsrXEwnXBh4/Bp4/Fx4kX1hYsb8CwsPDER4eXuZ21dbVM2PGDLz11lulunqKiorwySefAOCuHsYY\nU6dqH9VjZGQEQBjZk5qaiqNHj8Ld3V1hG3d3d+zZswcPHz5EcHAw7OzsNBWHMcbYvzTa1bN69WpM\nmTIFhYWFmDlzJszMzLBx40YAwJQpU9C1a1d4eXnB1dUVpqam2LlzpybjMMYYA9/AxRhjdRY/gYsx\nxhgALSj85bnCXdfwOWsHPmftoIlz5sJfB/E5awc+Z+3AhZ8xxliVceFnjDEtU2tG9TDGGKu4WvvM\n3Vrwu4kxxmoN7uphjDEtw4WfMca0TJ0p/Nr4tK+yzjkoKAidO3dG586dMXr0aNy4cUOClOpVns8Z\nEKYF19XVxd69e6sxnfqV53xjY2Ph5uYGOzu7OjFrbVnn/PTpU4wbNw7Ozs7o2bMn9u/fL0FK9Zk4\ncSKaNm0KR0dHlduovXZRHeHk5EQRERGUmppKHTp0oIyMDIX10dHR1L17d3r48CEFBweTn5+fREnV\np6xzPn36ND169IiIiLZt20ZjxoyRIqZalXXORERFRUXUq1cv8vPzo99//12ClOpT1vmWlJRQx44d\n6ejRo0RESr8ftU1Z57x+/XqaNm0aERGlpqaStbU1lZSUSBFVLSIjIykhIYE6duyodL0maledaPHn\n5OQAAHr06AFLS0v069cP0dHRCttER0dj+PDhMDU1hb+/P65evSpFVLUpzzl7enqKs6T6+fkhIiKi\n2nOqU3nOGRCm+x4+fDjMa+LTryugPOcbFxeHTp06oU+fPgCg8GjT2qg852xkZITc3FwUFhYiKysL\n+vr6tXrkn7e3N0xMTFSu10TtqhOFX9XTvl4WExMDe3t78fWLp33VVuU555dt2rQJgwYNqo5oGlOe\nc75z5w7279+PadOmAajdQ4HLc76hoaGQyWTw9vbGoEGDEBoaWt0x1ao85+zv74/i4mKYmZnBy8sL\nQUFB1R2zWmmidtWK4ZzqQBV42lddExYWhp07d+L06dNSR9G4jz/+GMuXLxdnJXz1M69rnj17hnPn\nziEsLAz5+fno27cvLl26BD09PamjacwPP/wAXV1dpKen4+LFi/Dz88Pt27eho1Mn2rGlaKJ21Ynv\nlJubm8IFj8uXL8PDw0NhG3d3d1y5ckV8nZGRAWtr62rLqG7lOWcAuHDhAqZOnYoDBw7A2Ni4OiOq\nXXnOOT4+HqNGjYKVlRX27NmD6dOn48CBA9UdVS3Kc76enp7o378/mjVrBmtra7i6uiIyMrK6o6pN\nec45MjISAQEB0NfXh7u7O5o3b14nBi6ooonaVScKvzY+7as855yWloZhw4YhKCgINjY2UsRUq/Kc\nc3JyMlJSUpCSkoLhw4dj/fr1GDx4sBRxq6w85+vh4YGIiAjk5+cjKysLiYmJ6N69uxRx1aI859y7\nd28cPHgQJSUlSE5ORlZWlkL3UF2jidpVZ7p6tPFpX2Wd85IlS5CVlYWpU6cCAOrVq4eYmBgpI1dZ\nWedc15R1vo0bN8aECRPg6uoKc3NzLFmyBAYGBhKnrpqyznnUqFG4cuWKeM5r1qyROHHV+Pv7IyIi\nApmZmWjVqhUWL16MwsJCAJqrXbVirh7GGGPqUye6ehhjjJUfF37GGNMyXPgZY0zLcOFnjDEtw4Wf\nsX+1adMGWVlZAKCWIZHbtm3DjBkzqnycF+7evYt33323zO1UjerZv39/rZ+qhKkHF35WJxQXF1f5\nGC/fDXnq1Cm1Hk8dmjdvjt27d1f6ffft26dwIxDTXlz4WY2QmpoKe3t7fPjhh7C3t8fUqVPFscw3\nb97ExIkT4eTkhEWLFiE3NxcAIJfL8fnnn8PV1RVr1qxBr169sGDBAjg5OcHZ2RlJSUkYPnw4Onbs\niA0bNojvNXToULi4uMDHxwf79u1TmudFq/mLL76As7MznJ2d0aJFC0ycOBGAMA3Gu+++C09PTyxd\nulTc7++//4anpye6du2Kc+fOKT12p06d8PjxYxARGjdujB07dgAA3nvvPYSFhYGI8NNPP6Fv377o\n06ePOLV0amqqOHXvs2fPsGTJEjg4OGDUqFHo3r07EhISxPf48ssv4eDggNGjRyMrKwunT5/GwYMH\n8d///hfOzs5ITk6u+IfE6o4qz+/JmBqkpKSQTCajsLAwKi4uJl9fX4qIiCAioqFDh9Jvv/1GhYWF\nNG3aNPrxxx+JiEgul5O/vz8VFBSIrydNmkTFxcUUGBhIJiYmlJSURLm5udSqVStx6t6srCwiIsrJ\nySFnZ2cxQ5s2bejhw4dERGRgYKCQ79GjR+To6EgJCQmUl5dHffr0oadPn1JxcTH5+/vT2bNnqaio\niNq0aUNJSUmUmZlJTk5ONGPGjFLnOnXqVDp8+DBdvHiR3Nzc6IMPPiAionbt2lF+fj6dOHGCZs+e\nTSUlJfTkyRNydnamgoICSklJEafuDQkJoREjRlBBQQEdP36cZDIZxcfHExGRTCajn3/+mYiIJk2a\nRL/88gsREY0fP5727NlT1Y+K1QHc4mc1RosWLdC7d2/o6OigZ8+eOHPmDAoLCxEbG4sRI0ZAV1cX\nEyZMUJh7Z/To0ahfv7742t/fHzo6OvD09ISDgwPatm0LAwMDtGrVSuzm+O2339C7d290794dycnJ\nuHjx4mtzERECAgIwZ84cODs7488//8SVK1fg6ekJFxcXJCYm4sSJE4iOjkbHjh3Rtm1bNG7cGEOG\nDFE6SZy3tzciIyNx8uRJTJs2DRcuXMDdu3dhYmICPT097NmzB4cOHUKXLl3g5eWFnJwcpbNyjho1\nCvXr10evXr1gaWkprtPV1UVAQAAAwMfHB2fOnFE4F8bqzJQNrPZ7eRK5+vXrIy8vT3xNROKMmy9r\n3ry50mPUr1+/1PEKCgqQnJyM9evXIzw8HKampnB2dkZ2dvZrcwUGBqJ169YYN24cAKCkpAT9+vXD\n1q1bFbYr7+ynPXr0wA8//IA2bdrgq6++wr59+/D777+jR48e4vHnz58vvt8Lqamp4r9fd/3gzTff\nRIMGDQAI03Q8e/asXPsx7cEtflZjERHq1auHrl27Ys+ePSgqKsIvv/yCIUOGKGxTkeOlp6fD3Nwc\npqamOHXqFM6fP//afQ4ePIhjx44pzAczaNAgnDx5Uhwhk5WVhbS0NHh4eODy5ctITk7Gw4cPceDA\nAaWFtmXLlsjMzERSUhKsrKzg5eWFFStWiIV/9OjR2L59OzIyMgAAN27cQH5+vsIxfH19ERISgufP\nnyMiIgK3b98u8/wtLS3x4MGDMrdjdR8XflZjvFokX7xevnw5/vzzT7i6usLMzAxjxoxRuc/Ly5Ud\nr3v37rC0tISdnR1Wr14tPrlKVZZVq1bh7t276Nq1K5ydnREYGIgGDRrgp59+wsKFC9GpUyf069cP\n9+7dg46ODjZu3IiAgAD0798fPXv2VHmuHh4eaN++PQDAy8sLd+/ehZeXFwBhKOno0aPx7rvvwtHR\nEdOmTRNHLb3INXDgQHTo0AFOTk5Yv349HBwcxO6el8/75e/DO++8g+DgYDg7OyMlJUVlNlb38SRt\njNVCJSUlKCwsxJtvvonY2Fh8/PHHahmCyrQD9/EzVgvl5+ejV69eePbsGdq3b4+VK1dKHYnVItzi\nZ4wxLcN9/IwxpmW48DPGmJbhws8YY1qGCz9jjGkZLvyMMaZluPAzxpiW+X+SMXnPdDYZVAAAAABJ\nRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure object at 0x10cc24e50>"
]
},
{
"output_type": "display_data",
"png": 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/ZVzhp5YMDQ1RUFAgdAwiR2KxGPn5+VWWy6qdmo0RipDGYGYGuLgAp04BI0cK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\n",
"text": [
"<matplotlib.figure.Figure object at 0x10cc7a990>"
]
},
{
"output_type": "display_data",
"png": 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BXr2A+Hi+kxCivKjwkxZn+HDg6FG+UxCivKirh7Q4ly4BY8cC6eni+frJm9HT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\nhDRRdjbg5AQkJQEWFnynIaQ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"text": [
"<matplotlib.figure.Figure object at 0x10c8c5350>"
]
},
{
"output_type": "display_data",
"png": 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1qtb2Z8+eYcKECXB2dkbfvn3xxx9/KDIcIjAfHyAhAaiuFjoSQlSbQhP/7Nmz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\naMDQEFizRuhICFEcKvUQ8oq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zj6dOncqqqqpYWFgY09PTYxkZGaykpISZmZnxU/cWFhYy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\nAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure object at 0x10cbbb5d0>"
]
},
{
"output_type": "display_data",
"png": 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O/TWEkGZKrok/IiIClpaW6NmzJ7Zu3Vpj/+vXrzF9+nTY2tpi0KBBOH36tDzD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\nzIyNjbmpe/Pz8xljjBUVFTFbW1suBlN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"text": [
"<matplotlib.figure.Figure object at 0x10dbd64d0>"
]
},
{
"output_type": "display_data",
"png": 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SCTf3MKYN1Jr4Y2Nj4eLigjZt2mDlypVVtj99+hRjxoyBp6cnunbtin379qkz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\nLy+n0NBQOnPmDJWVlZGjoyOlpqZSXl4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"text": [
"<matplotlib.figure.Figure object at 0x10cc36450>"
]
},
{
"output_type": "display_data",
"png": 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2EKLaqKuHNFBZCRgYAE+eAFpafEdD3hT9/ai+5nb1aLZGUES5dOgAWFgA6eni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\nzVDiJ4QQNUOJnxBC1Mz/A2XuVFCWNecuAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure object at 0x10db37250>"
]
},
{
"output_type": "display_data",
"png": 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58+d47733IBKJMHToUJw4cUKR4RA56rp6CCHqQaGjekQiETZu3AhLS0v4+/sj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\nSDvSqRO1+glpawpv8YtEImz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"text": [
"<matplotlib.figure.Figure object at 0x10db181d0>"
]
},
{
"output_type": "display_data",
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2trawsrLChg0b6q1/+fIlpk6dCmdnZwwcOBDHjh2TZzjkf+gCLyHKTa5NPQsW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\ndySEELk39Tg7O2P9+vUwNTW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s2ROampro0aMH18xx4MABDB48GN7e3khLS8PNmzffGBdj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\n",
"text": [
"<matplotlib.figure.Figure object at 0x10cd4be50>"
]
},
{
"output_type": "display_data",
"png": 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pJIS8TJPvAIjy1Qzp9PPjOxLCB6FQqHaLiasboVDYoPKU+NUAjeVXbwUFBXyH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\nd+4oOySiRKNHA3fuAFev8h0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IS0vDtWvXXhsXYwwhISH48MMPIRKJ8Pvvv+PmzZvw9vaG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\n/IQQomb+H/quLV7iwW3KAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure object at 0x10cc70a10>"
]
},
{
"output_type": "display_data",
"png": 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YmprWqz0nfg1layur83PiZ/n5+WKHwJoYrvFrKK7zM8aUUWvij42NhbOzM7p2\n7Yp169bV2P7s2TNMmzYN7u7uGDBgAA4ePKjOcLSKjQ0nfsaYYmot9SxYsAARERGwtbVFUFAQQkJC\n5Obh2LZtG9q0aYPk5GRkZGQgMDAQo0aN4nqkCtjaAi9cCc8YYwK19fgLCwsBAP3794etrS2GDh2K\nuLg4uTbGxsYoKipCeXk58vPzYWBgwElfRbjUwxhTRm09/oSEBLnJllxcXHDx4kUMHz5cWBcSEoLD\nhw/D3NwcFRUVuHDhgtLjhYeHCz9LpVJIpVJ1hK0xuNTDmPaJiYlBTExMre1EHdXzzTffQFdXF9nZ\n2bh27RqGDx+OjIwM6OjU/EPkxcTPalfd4ycC+I8oxrTDy53iFStWKGyntlKPl5eX3Kx2N27cgK+v\nr1yb2NhYTJ48GQYGBvDx8UGnTp1w584ddYWkVdq2lY3n55F8jLGXqS3xGxsbA5Al9/T0dJw4cQI+\nPj5ybQYNGoTDhw+jqqoKqampyM/PVzoXN6s/LvcwxhRRa6lnzZo1CA0NRXl5OcLCwmBubo6IiAgA\nQGhoKCZOnIibN2/C09MTFhYWWLt2rTrD0TrV5Z4+fcSOhDHWlPBcPRps/nzA0RFYsEDsSBhjYuBp\nmbUQD+lkjCnCiV+DdekCvHBvasYYA8CJX6M5OAApKWJHwRhrarjGr8GKioAOHWTz8vNYfsa0D9f4\ntZCRkWzJzhY7EsZYU8KJX8M5OAD37okdBWOsKeHEr+G4zs8Yexknfg3n6Mg9fsaYPE78Go5LPYyx\nl3Hi13Cc+BljL+PEr+E48TPGXsaJX8NZWADl5UBBgdiRMMaaCk78Gk4i4V4/Y0weJ34twImfMfYi\nTvxagBM/Y+xFnPi1AF/ExRh7ESd+LcAXcTHGXsSJXwtwqYcx9iKellkLVFYCbdrIhnTq64sdDWOs\nsfC0zFqsRQvZbRjT0sSOhDHWFHDi1xKOjvwFL2NMhhO/luA6P2OsGid+LcFDOhlj1Tjxa4lu3YA7\nd8SOgjHWFHDi1xLOzsCtW2JHwRhrCng4p5aoqpLdeD0nR/YvY0zz8XBOLaejIyv33L4tdiSMMbFx\n4tciXO5hjAGc+LWKszP3+BljnPi1ipMT9/gZY5z4tQr3+BljAI/q0SplZYCxMVBUBLRsKXY0jDF1\nE2VUT2xsLJydndG1a1esW7dOYZuEhAR4eXnB2dkZUqlUneFovVatAGtrvoKXMW2n1h6/u7s71q5d\nC1tbWwSEnQlWAAAbm0lEQVQFBeHs2bMwNzcXthMRevXqha+++gqDBw9GXl6e3HYhSO7xq8yoUcCM\nGcBbb4kdCWNM3Rq9x19YWAgA6N+/P2xtbTF06FDExcXJtbl06RJ69eqFwYMHA4DCpM9Ui7/gZYzp\nquvACQkJcHJyEh67uLjg4sWLGD58uLAuKioKEokE/fr1g4mJCf7yl78gKChI4fHCw8OFn6VSKZeF\nGsjZGTh9WuwoGGPqEBMTg5iYmFrbqS3x10VpaSkuX76M6OholJSUYMiQIbh+/Tr0Fdwm6sXEzxrO\n2RlYv17sKBhj6vByp3jFihUK26mt1OPl5YXbL4wdvHHjBnx9feXa+Pn5ITg4GB07doS9vT08PT0R\nGxurrpAYZKWe27cB/sqEMe2ltsRvbGwMQDayJz09HSdOnICPj49cG19fX5w5cwYlJSXIz89HcnIy\n/P391RUSA2BiAhgaAg8eiB0JY0wsdSr1ZGdn49SpU5g8eTJyc3Px9OlTdOnSpdb91qxZg9DQUJSX\nlyMsLAzm5uaIiIgAAISGhqJdu3aYMWMGPD09YWFhgZUrV8LQ0PD1zojVqvoLXisrsSNhjImh1uGc\nGzduxK5du5CVlYU7d+7gwYMHGD9+PM6dO9dYMfJwThWbN0+W/MPCxI6EMaZODR7OuWPHDhw/fhxt\n2rQBAHTu3BlFRUWqj5A1Gp6lkzHtVmviNzY2ho7O/5plZmbCimsEzZqLC3DjhthRMMbEUmvinzZt\nGiZPnozHjx9jxYoVGDFiBGbPnt0YsTE16d0buHqVR/Ywpq3qNGVDeno69u7di6qqKkycOBHW1taN\nEZuAa/yq17kzcO4cYGcndiSMMXVRljt5dk4tNWwYEBoKjB4tdiSMMXVp8Je7hoaGMDIygpGREfT0\n9KCjo4O2bduqJUjWeHr3Bq5cETsKxpgYah3H//TpU+HnkpISbN++HTk5OWoNiqlf797AL7+IHQVj\nTAwNKvW4uLjg5s2b6ohHIS71qN7Nm7Iyz927YkfCGFMXZbmz1h7/3r17hZ/Lyspw5swZuLm5qTY6\n1ui6dQOysoCnT2VTODDGtEetif/w4cOQSCQAgNatW8Pf3x8jRoxQe2BMvXR1ZRdyXbsG+PmJHQ1j\nrDHxqB4tNmsW4OUFzJkjdiSMMXWod6ln/vz5rzzY119/rZrImGh4ZA9j2klp4vfw8BBKPC9/YlSv\nZ81b797ATz+JHQVjrLFxqUeLFRQANjZAYSGgo7Y7MzDGxNLgUT35+fnYs2cPoqKiUFBQIBzs1KlT\nqo+SNSpTU9mSlgY4OIgdDWOssdTaz1u6dCkKCwtx8+ZNLFiwACYmJhgwYEBjxMYaAdf5GdM+tZZ6\n3N3dkZycjJ49e+LKlSsoLS1Fv379kJiY2FgxcqlHjZYuBVq0AJTck5kx1ow1eK6eVq1aAZDdH3fr\n1q24dOkSJ2EN0rs3cPmy2FEwxhpTrT3+w4cPo1+/fsjNzcWnn36KBw8eYMmSJRg4cGBjxcg9fjVK\nSwMCAvjm64xpogZPy5ybmwsLCwu1BVYXnPjVhwho317W6+/cWexoGGOq1OBST9++fTF06FBs2rRJ\nGNXDNIdEAvj4APHxYkfCGGsstSb+u3fv4pNPPsH169fh4eGBESNGYMeOHY0RG2sk3t6c+BnTJvW6\ngCsvLw8ffPABIiMjUVVVpc645HCpR72OHQO++AI4eVLsSBhjqtTgUk9hYSG2bt2K4OBg+Pn5wdLS\nEgkJCWoJkonDywu4dAloxM9yxpiIau3xd+nSBaNHj8aECRPgJ9L8vdzjVz9HR+DwYdlUzYwxzdDg\nKRvu3bsHnf9O5HLkyBGei19DeXsDcXGc+BnTBrWWenRemL1r2bJlag2GiYe/4GVMe/CcjAwAJ37G\ntEmtib+srAx79+7Fu+++C1NTU+zbtw9lZWWNERtrRO7uwK1bQGmp2JEwxtSt1hr/qlWrcPXqVYSE\nhAAAfvzxR1y7dg3Lly9Xe3Cs8ejrA05Osit4fX3FjoYxpk61jupxdnbG5cuXhcnaysrK4Obmhlu3\nbjVKgACP6mksc+fKvtwNCxM7EsaYKrzWlA2//vqr8Pi3336r87DO2NhYODs7o2vXrli3bp3SdgkJ\nCdDV1cW+ffvqdFymHtUjexhjmq3WHr+Liwtu374NY2NjALILupycnNCiRQtIJBJcvXpV6b7u7u5Y\nu3YtbG1tERQUhLNnz8Lc3FyuTWVlJYYMGQIDAwPMmDEDY8aMqRkk9/gbxe3bQHCwbMZOxljz1+Bx\n/C/29uujsLAQANC/f38AwNChQxEXF4fhw4fLtVu3bh3Gjh3LVwM3Ad27AyUlQGam7F68jDHNVGvi\nt7Oza9CBExIS4OTkJDx2cXHBxYsX5RL/gwcPcPDgQZw6dQoJCQmQSCRKjxceHi78LJVKIZVKGxQX\nU04iAfr3B2JjgSlTxI6GMVZfMTExiImJqbVdrYlfnRYuXIhVq1YJf468qpzzYuJn6tO/P3DmDCd+\nxpqjlzvFK5TcU1Vtid/LywsfffSR8PjGjRt444035NokJiZi4sSJAGQzf/72229o2bIlRo0apa6w\nWC0GDABe8T08Y0wDqO3K3eovg2NjY5Geno4TJ07Ax8dHrk1qairS0tKQlpaGsWPHYsOGDZz0Rdaj\nB/DoEZCdLXYkjDF1UWupZ82aNQgNDUV5eTnCwsJgbm6OiIgIAEBoaKg6n5o1kI6O7B68sbHAhAli\nR8MYU4d63YhFLDycs3H95z9ASgqwfr3YkTDGXkeDL+Bi2mfAAFmPnzGmmbjHz2qoqADMzWW9/peu\nt2OMNSPc42d1pqsL9O3LvX7GNBUnfqYQl3sY01yc+JlCAwYAp0+LHQVjTB24xs8UqqgA2rcHrl8H\nOnUSOxrGWENwjZ/Vi64uMGQIEBUldiSMMVXjxM+UCg4GfvtN7CgYY6rGpR6mVHY24OoKPHwo+wuA\nMda8cKmH1ZulJWBrC1y8KHYkjDFV4sTPXik4GDh2TOwoGGOqxImfvdIbb3CdnzFNwzV+9krl5bJh\nnbduAR07ih0NY6w+uMbPGqRlS2DQIB7WyZgm4cTPavXGG1znZ0yTcKmH1SorS3ZnrpwcQE9P7GgY\nY3XFpR7WYJ06Ac7OwMmTYkfCGFMFTvysTsaNA/bsETsKxpgqcKmH1cn9+4Cbm6zc07Kl2NEwxuqC\nSz3stVhbA926AadOiR0JY+x1ceJndTZ2LPDLL2JHwRh7XVzqYXWWkQF4espG+XC5h7Gmj0s97LXZ\n2gJdugAxMWJHwhh7HZz4Wb2MG8flHsaaOy71sHpJSwO8vYEHD/hiLsaaOi71MJXo0kV2c5bDh8WO\nhDHWUJz4Wb3NmgVs2iR2FIyxhuJSD6u3khLAygq4elX2L2OsaeJSD1MZAwNg/Hhg2zaxI2GMNQT3\n+FmDxMcDISHA3buADncfGGuSuMfPVMrLS9bzj40VOxLGWH1x4mcNIpEAM2cCmzeLHQljrL7Unvhj\nY2Ph7OyMrl27Yt26dTW2R0ZGonfv3ujduzcmTZqEO3fuqDskpiJTp8qGdebliR0JY6w+1J74FyxY\ngIiICERHR+Pbb79F3ktZwt7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B7dq1w+jRoxVOEtevXz/Exsbi999/x9y5c3H16lVkZWXB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\njDGmZTjxM8aYlvn/hY8Dkr4Sc58AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure object at 0x10cd12510>"
]
},
{
"output_type": "display_data",
"png": 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hKop6/KSB27dv4+rVq6isrERkZCSOHz+OYcOG8R1Wu3Xp0iXcu3cPZWVlWLduHa5du4bB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\niZ8QQlQMJX5CCFExlPgJIUTF/D94T+YpZb2Y4wAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure object at 0x10d4dd890>"
]
},
{
"output_type": "display_data",
"png": 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6wUsI6ShK/AqOEj8hpKPU+Q6AvBxzc+A5FygSAgMDA5W7mbiqMTAw6FB5SvwK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\nQlQMJX5CCFExlPgJIUTFUOInhBAV8/8W6DjZzFCp/QAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure object at 0x10dd79e90>"
]
},
{
"output_type": "display_data",
"png": 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8RyBtDHX1KCgay08IaS65Fv64uDjY2tqid+/e2LhxY731r169wowZM+Dk5ISh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\nEqbCAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure object at 0x10cc83650>"
]
},
{
"output_type": "display_data",
"png": 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N0NYWPYKxRw++oyGKQk9PT+keJq5s9PT0mtWeEr+CqavzU+InTVVUVMR3CKSd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\nICBAYvvt27dj7NixEteFhoZ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"text": [
"<matplotlib.figure.Figure object at 0x10ccace90>"
]
},
{
"output_type": "display_data",
"png": 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hQEqKsiMhqkjTf380Ac3Hr4aoj58QIk+U+FVATeKnRhshRB4o8auADh3ES0mJ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\nRAQAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure object at 0x10cbe16d0>"
]
},
{
"output_type": "display_data",
"png": 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HwlSZpn5/NAlP2aBGjIyA0lKgvFzZkTDG1Akn/hZMJOIhnYwx+ePE38LxCV7G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\nOPEzxpiG4cTPGGMa5v8BQVNK80zbZQYAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure object at 0x10e0ecc10>"
]
}
],
"prompt_number": 19
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Take 2... using eq. 2\n",
"\n",
"$\\alpha_{ij} = 1 - (k - 1) * \\int_0^{p_{ij}}(1 - x)^{(k - 2)}$"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from scipy.integrate import quad\n",
"\n",
"integrand = lambda x,k : (1 - x) ** (k - 2)\n",
"\n",
"xs = arange(0, 1.01, 0.01)\n",
"ks = range(2, 21)\n",
"\n",
"for k in ks:\n",
" pvals = []\n",
" for x in xs:\n",
" pval = 1.0 - (k - 1.0) * quad(integrand, 0.0, x, args=(k))[0]\n",
" pvals.append(pval)\n",
" \n",
" figure()\n",
" title(\"# of edges connecting to the node = \" + str(k))\n",
" xlabel(\"normalized weight\")\n",
" ylabel(\"p-value\")\n",
" ylim(-0.05, 1.05)\n",
" xlim(-0.05, 1.05)\n",
" plot(xs, pvals, label=\"edge p-value\")\n",
" plot([0.05] * len(xs), color=\"black\", label=\"0.05 cutoff\")\n",
" legend()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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kJ2Htnx9rwIrfAj0450+XLhz5Q0RPhhW/mSmr/nv1AlasYPVPFePnx/KZVMUf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\nsjJM/EREVub/ARpuhgf+1xfdAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0xac9f278>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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3A5GRgLq60NEQIllD/f0h0vOutXoo8b8HxgBfX66qJ5VxJg1VQ/39IdJDRdrq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\nRMlQ4ieEECVDiZ8QQpQMJX5CCFEy/w9wl3kNcxUrnAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0xb0c9080>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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9uuKvwqNHgK0tcOUKYGYmSAiEvBe64ld+dMUvZy1bAr6+3Pi8hBCiDOiKvxoK\nC4HOnYH9+wGhu9gg5F0J/ftDFI+u+BWgaVNg5Upg3jxukHZCCKnPFJr4w8PDYWFhgQ4dOmD9+vVv\nLH/+/DkmTJgAe3t7uLu749ixY4oM572MGQOIREBgoNCREELI+1Foqcfe3h5r166FqakpPD09ERER\nIfU49ubNm3H9+nVs3LgRaWlp8PDwQFJS0hv9ftSVP1UvXwZGjODG59XSEjoaQqpHT08Pubm5QodB\nFEgsFiMnJ+eN+ZXlzoaKCiQ/Px8A+EeX+/Xrh+joaHh5efHr6OjooKCgACUlJcjJyYGmpmaNOnuq\nLS4ugLs791Tv8uVCR0NI9chKCES1KazUExsbK9XnhqWlJaKioqTW8fb2RllZGQwMDODm5obAelBH\nWbUK2LABSE0VOhJCCKkZhV3xV8dvv/2Ghg0bIiMjAzdu3ICXlxfS0tKgpvbm95Gfnx//WiKRQCKR\n1F6gr2jTBpg7l+u988ABQUIghBCZQkNDERoaWuV6Cqvx5+fnQyKRICEhAQAwZ84c9O/fX6rUM3Lk\nSEyZMgWenp4AAGdnZ+zcufON3vnqSo2/wvPngIUFsH074OEhdDSEECJbrTfn1Pmvc5vw8HCkpqbi\n7NmzcHZ2llqnT58+OHHiBMrLy5GcnIycnJxKu2StSzQ0gJ9/5q78S0uFjoYQQt6NQptzrlmzBtOn\nT0ffvn0xa9YsGBgYwN/fH/7+/gC4rlEbNGgAR0dHzJw5E2vXrlVkOHI1dChgZARs3ix0JIQQ8m7o\nyd33kJjIlXpu3uTG6yWEkLqk0id6KfG/n3nzuC4dtm4VOhJCCJFGiV9B8vO5G71HjwLdugkdDSGE\n/A/11aMgOjpc2/7Zs4GyMqGjIYSQqlHil4Nx44DGjYFt24SOhBBCqkalHjm5ehXw9ARu3QL09YWO\nhhBCqMZfK3x9uYe76EYvIaQuoMRfC/LzAUtL4OBBrkM3QggREt3crQU6OsDq1cDMmfRELyGk7qLE\nL2ejRwMGBsBvvwkdCSGEyEalHgW4exdwdQWuXQNatRI6GkKIqqJSTy3q1AmYNYvrxI0QQuoaSvwK\nsmgRd8V/8qTQkRBCiDQq9SjQuXPAlClcJ25NmwodDSFE1VBzToGMHw80bw789JPQkRBCVA0lfoFk\nZQHW1kBwMGBnJ3Q0hBBVQjd3BWJoyHXiNnUqte0nhNQNlPhrwcSJ3MNd69YJHQkhhFCpp9YkJQHd\nuwMxMUBh4mZ5AAAf7klEQVS7dkJHQwhRBVTqEZi5OfDll8CMGUA9/w4jhNRzlPhr0fz53M3eXbuE\njoQQosqo1FPLEhK4fvuvXwdatBA6GkKIMqPmnHXIokVcfz6HDgkdCSFEmVGNvw759ltupK6DB4WO\nhBCiiuiKXyCRkcCwYUBiIg3VSAhRDCr11EHz5nE3ewMDhY6EEKKMqNRTB61YwbXrP3pU6EgIIaqE\nrvgFFhEBjBwJ3LhBJR9CiHxRqacO++wz4N9/gb17hY6EEKJMqNRTh33/PXDlCnD4sNCREEJUAV3x\n1xGXLwMff8yN2tW8udDREEKUAZV66oGFC4Hbt4EjRwCRSOhoCCH1HZV66gE/PyAlhfryIYQolkIT\nf3h4OCwsLNChQwesX79e5jqxsbFwcnKChYUFJBKJIsOp8xo35pL+558DaWlCR0MIUVYKLfXY29tj\n7dq1MDU1haenJyIiImBgYMAvZ4zB1tYWv/76K/r27Yvs7Gyp5XyQKlLqqbByJXDmDDdYuxr9TUYI\nqaFaL/Xk5+cDAHr16gVTU1P069cP0dHRUutcuXIFtra26Nu3LwDITPqq6MsvuWEaf/lF6EgIIcpI\nYYk/NjYWnTt35t9bWloiKipKap3g4GCIRCL07NkTgwcPRnBwsKLCqVcaNOBKPj/8wHXfTAgh8tRQ\nyIO/ePECV69eRUhICIqKivDBBx8gMTERGhoab6zr5+fHv5ZIJEp/P6BtW2D1asDHB4iNBZo0EToi\nQkhdFxoaitDQ0CrXU1iNPz8/HxKJBAkJCQCAOXPmoH///vDy8uLXOXXqFEJDQ/HTTz8BAEaNGoXJ\nkyfD09NTOkgVq/FXYAwYMQJo3RpYs0boaAgh9U2t1/h1dHQAcC17UlNTcfbsWTg7O0ut0717d4SF\nhaGoqAg5OTlISEiAq6urokKqd0QiYMsW7one06eFjoYQoiwUWupZs2YNpk+fjpKSEvj6+sLAwAD+\n/v4AgOnTp0NfXx+TJk2Co6MjDA0NsXz5cmhpaSkypHpHT4+r948Zww3bSE/1EkLeV7VKPRkZGTh/\n/jx8fHyQlZWFZ8+eoW3btrURHwDVLfW8atEi4OpV4NQpeqqXEFI9NS71bNmyBd7e3li2bBkA4OXL\nlxg7dqz8IyRvtWwZ8OQJsHat0JEQQuq7KhP/7t27cebMGTRt2hQA0KpVKxQUFCg8MCKtUSOu2+bv\nvwfi44WOhhBSn1WZ+HV0dKD2yuOj6enpaN26tUKDIrK1bw+sXw+MHg3Qdy8hpKaqTPwTJkyAj48P\n8vLysGzZMgwaNAhTp06tjdiIDKNHA+7uwOzZQkdCCKmvqnVzNzU1FYcOHUJ5eTlGjx6NNm3a1EZs\nPLq5K62oCHB05Lp2mDhR6GgIIXUV9cevZBITgd69gdBQwMpK6GgIIXVRjVv1aGlpQVtbG9ra2lBX\nV4eamhqaNWumkCBJ9VlbAz/+yA3UXlgodDSEkPqkyge4nj17xr8uKirCrl27kJmZqdCgSPVMnMhd\n8c+aBQQEUPt+Qkj11KjUY2lpiVu3bikiHpmo1FO5wkLAyQlYsACYMkXoaAghdUllubPKK/5Dhw7x\nr4uLixEWFgY7Ozv5RkdqrGlT4OBBrqVP166Avb3QERFC6roqE/+JEycg+q+G0KRJE7i6umLQoEEK\nD4xUn6Ul175/+HAgLg7Q1RU6IkJIXUatepSIry83Vu+RIzRkIyGkBs0558yZ89adrVu3Tn7RVYES\nf/W8fMmVfIYMARYuFDoaQojQ3rnG7+DgwJd4Xt9QRM1H6iR1deDAAaBbN8DBAejXT+iICCF1EZV6\nlFBYGDBqFHD5MjeEIyFENdX4yd2cnBwcOHAAwcHByM3N5Xd2/vx5xUQqAyX+d7d2Lde2/9IlQFNT\n6GgIIUKo8ZO7ixcvRn5+Pm7duoW5c+dCV1cX7u7uCgmSyI+vL9fa55NPuLF7CSGkQpVX/Pb29khI\nSICNjQ2uXbuGFy9eoGfPnoiLi6utGOmKv4aKigA3N8DHh3vAixCiWmr8AFfjxo0BcAOjBwQEwNzc\nnJJwPaGpCRw9Cjg7AzY2dLOXEMKp8or/xIkT6NmzJ7KysvD999/j4cOHWLRoEXr37l1bMdIV/3sK\nDwdGjODq/ebmQkdDCKktNb65m5WVBUNDQ4UFVh2U+N/f5s3AunVcSx8dHaGjIYTUhhon/g4dOqBt\n27YYNWoUhg4dCrFYrLAgK0OJXz4+/RR48AA4cQJoWGWRjxBS39W4Vc/9+/fx3XffITExEQ4ODhg0\naBB2796tkCCJYq1ZA5SWAl98IXQkhBAhvdMDXNnZ2fjss88QGBiI8vJyRcYlha745Sc3l7vZ++WX\nAA2dTIhyq/EVf35+PgICAjBgwAC4uLjA2NgYsbGxCgmSKJ5YDJw8CXzzDXDunNDREEKEUOUVf9u2\nbfHhhx9i1KhRcHFxqa24pNAVv/yFhnLDNoaFARYWQkdDCFGEGt/cLS8vh9p/ffyePHlSkL74KfEr\nRkAAsHw5EBUFGBkJHQ0hRN5qnPhfVfEUb22jxK8433wDnD/PTRoaQkdDCJGnGtf4iXL77jugXTuu\nW4eyMqGjIYTUhioTf3FxMQ4dOoRp06ZBLBbj8OHDKC4uro3YSC1QUwO2b+da+1B/PoSohipLPcuW\nLcP169fh7e0NANi/fz+sra2xdOnSWgkQoFJPbcjLA1xduSaen30mdDSEEHmocY3fwsICV69e5Ttr\nKy4uhp2dHW7fvl3lQcPDwzF9+nSUlpbC19e30uEcY2Nj4eLigqCgIAwdOrTawRP5Sk/nkv9PPwGj\nRwsdDSHkfdW4xt+jRw/8+eef/Pu//vqr2s06586dC39/f4SEhGDDhg3Izs5+Y52ysjJ89dVX6N+/\nPyV3gZmYAH/+CcydS238CVFmVSb+y5cvY9iwYRCLxRCLxRg6dCiioqJgY2MDW1vbSrfLz88HAPTq\n1Qumpqbo168foqOj31hv/fr1GD58uOAdwRGOjQ0QFAR4ewMCNOAihNSCKrvqevVq/13Exsaic+fO\n/HtLS0tERUXBy8uLn/fw4UMcO3YM58+fR2xsLA3iXke4uwObNgFeXlyXztSVMyHKpcrEb2ZmprCD\nz5s3D6tWreLrUG8r9fj5+fGvJRIJJBKJwuIiwLBhQE4ON3jLxYtAq1ZCR0QIqUpoaChCQ0OrXO+d\nHuB6F/n5+ZBIJPwDX3PmzEH//v2lrvjbtWvHJ/vs7Gxoampi69atGDJkiHSQdHNXMKtWAXv2cFf+\nenpCR0MIeRdyeXL3Xdnb22Pt2rUwMTFB//79ERERAQMDA5nrTpo0CYMHD6ZWPXUMY1xPnhcvAmfP\nAtraQkdECKkuQZ7cXbNmDaZPn46+ffti1qxZMDAwgL+/P/z9/RV5WCJHIhHw44+ArS0wZAjw/LnQ\nERFC3pdCr/jlha74hVdWBowfzz3he/QooK4udESEkKoIUuqRF0r8dUNJCdeVc4MGwL59NHwjIXUd\nddJG3lujRlzCLyzkrv6pUzdC6idK/OSdNG4MHD4MPH4MTJ4M1OIInIQQOaHET96ZhgZw/DiQlgZ8\n8gklf0LqG0r8pEY0Nbmxe+/do+RPSH1DiZ/UmJYW16nb/fvAtGmU/AmpLyjxk/eipQWcOgU8eABM\nmUI3fAmpDyjxk/dWkfzT0rjWPqWlQkdECHkbSvxELpo25ZJ/Tg43iMvLl0JHRAipDCV+IjcaGtxT\nvSUlXO+eL14IHREhRBZK/ESuGjcGDh7k/gLw8gIKCoSOiBDyOkr8RO4aNQICA4H27YEPPuDKP4SQ\nuoMSP1GIBg0Af3+gVy9uRK9Hj4SOiBBSgbrZIgojEgE//MAN4OLmBgQHAx06CB0VIYQSP1EokQj4\n+mvA0JC78j9xAnBwEDoqQlQblXpIrZgyBdi4ERgwADhzRuhoCFFtlPhJrfnoI65nz3HjgJ07hY6G\nENVFA7GQWnf7NjBwIPdXwDffcOUgQoj80QhcpE7JyODa+dvbA5s20VCOhCgCjcBF6hRjYyA8nBvQ\nZcAAIC9P6IgIUR2U+IlgtLS4Lh6srQEXFyA5WeiICFENlPiJoBo0ANauBWbPBnr0AMLChI6IEOVH\niZ/UCZ9+CuzeDYwYAWzbJnQ0hCg3urlL6pS7d4HBg7m6/+rVXL8/hJCaoZu7pF7o1AmIieGGc/T0\nBLKzhY6IEOVDiZ/UObq6XNcOzs6AkxOQkCB0RIQoF0r8pE5q0ABYuRL48UegXz9gxw6hIyJEeVCN\nn9R5t24BQ4dynbytW8cN9kIIqRrV+Em9ZWnJ1f2fPAFcXam9PyHvixI/qReaNQMOHADGjwe6d+ce\n/CKE1AyVeki9Ex0NjBrF9fb5ww9U+iGkMlTqIUrD2RmIjwfS07muHu7dEzoiQuoXhSf+8PBwWFhY\noEOHDli/fv0bywMDA9GlSxd06dIFY8aMwT36LSbVoKcHHDoETJvG1f0DAgD6o5CQ6lF4qcfe3h5r\n166FqakpPD09ERERAQMDA3755cuXYWlpCR0dHezcuRMhISHYvXu3dJBU6iFvceMGMGYMYGEBbN7M\nfSkQQgQq9eTn5wMAevXqBVNTU/Tr1w/R0dFS67i4uEBHRwcA4OXlhTDqpYu8IxsbIDYWaNkSsLMD\nzp0TOiJC6jaFJv7Y2Fh07tyZf29paYmoqKhK19+yZQsGDx6syJCIkmrSBFizBvj9d2DiRMDXFygq\nEjoqQuqmhkIHUCEkJAR79uxBZGSkzOV+fn78a4lEAolEUjuBkXqlXz/g+nWut087O25sXxcXoaMi\npHaEhoYiNDS0yvUUWuPPz8+HRCJBwn+drcyZMwf9+/eHl5eX1HrXr1/H0KFDcfr0aZibm78ZJNX4\nSQ0cPMh9AYwdC3z3HaChIXREhNQuQWr8FbX78PBwpKam4uzZs3B2dpZaJz09HcOGDUNgYKDMpE9I\nTQ0fzt34/ecfoEsXICJC6IgIqRsU3qonLCwMM2bMQElJCXx9feHr6wt/f38AwPTp0zF16lQcOXIE\nJiYmAIBGjRohJiZGOki64ifv6cgR7up/yBBg1Srgv2sSQpRaZbmTntwlKiMvD/jyS+DPP4H167kn\nf0UioaMiRHEo8RPyn7AwYMYMwNyc+wIwMxM6IkIUg7psIOQ/7u7AtWtcax9HR670U1wsdFSE1B5K\n/EQlqasDixZx3T1HRgK2tkBwsNBREVI7qNRDCIBTp4C5cwFra26Qd2pgRpQBlXoIeQsvLyAxkevr\nv3t34IsvgP96HCFE6VDiJ+Q/TZoAX3/NfQHk5ACdOgG//QaUlAgdGSHyRYmfkNe0aAFs28bV/I8f\nB6ysgMOHqdtnojyoxk9IFc6c4dr/N24MrFwJeHgIHREh1UPt+Al5D+XlwP79wOLFQLt2XN8/3bsL\nHRUhb0c3dwl5D2pqgLc3cOcO1wfQyJHcDeErV4SOjJB3R4mfkHfQqBEwfTpw/z4wcCDw4YfAoEHc\nAPCE1BeU+AmpgcaNgdmzgQcPuC+AESO4sQBCQ+kmMKn7qMZPiBy8fAns3g38+CMgFnPNQocM4UpE\nhAiFbu4SUgvKyoCjR7n+f54+BT77DBg/HtDUFDoyoooo8RNSixgDLl7kun+IigKmTQNmzQJatRI6\nMqJKqFUPIbVIJAJ69eIeAIuI4K7+bWy4lkEREXQfgAiLrvgJqSX5+UBAALBxI9c76KxZgI8P0KyZ\n0JERZUWlHkLqCMaA8+e5L4Dz54GhQ7lSkLMzjQhG5IsSPyF1UGYm91fA779zTUQnTQLGjQOaNxc6\nMqIMKPETUodV3AzesYMbGN7VlfsCGDKEWgSRmqPET0g98ewZ1yR0925uhLBBg7ibwn37cvcGCKku\nSvyE1EOZmcCBA8C+fcDdu8BHH3F9BXl40JcAqRolfkLqubQ04NAh4OBB7kvAy4v7IvD0BJo2FTo6\nUhdR4idEifzzD/eMwNGj3ANiPXtyJSEvL8DEROjoSF1BiZ8QJZWXxw0Wc/Ik8Ndf3Ahi/ftzk5sb\n11qIqCZK/ISogLIyboyA06e5L4GbN4EePbgbw336AF26AA0aCB0lqS0qm/hF9EQMIUSFycqdDQWI\no1bVg+81QmpNZiY3ZkB4ODelpwPdugEuLtxfBs7OgJ6e0FESeanswlfpr/gJIZV78oS7ORwZCVy+\nzJWJWrTgvgycnICuXQF7e0BLS+hISU2obKmHEFJ9ZWXA7dvcg2OxsUB8PJCYCLRpA9jZcZOtLdfT\naOvW1LdQXUeJnxBSIyUl3JfBtWvA1avcv4mJwIsXgLU1YGkJWFhwU6dOXHNSuoFcNwiS+MPDwzF9\n+nSUlpbC19cXc+bMeWOdhQsXYv/+/RCLxQgMDETnzp3fDJISPyF1TlYW12ro9m3g1i3u37t3gexs\noH17wNz8f1O7dkDbtoCpKT1xXJsESfz29vZYu3YtTE1N4enpiYiICBgYGPDLY2JiMH/+fBw/fhzB\nwcEIDAzEyZMnqx08IaTuKSwE7t/nBqJPSuKmlBRu+ucfwMCA+6vA1JQrF7Vpw/3bsiU3GRvTl4O8\n1Hriz8/Ph0QiQUJCAgDA19cXnp6e8PLy4tdZv349ysrKMG/ePABA+/bt8eDBg2oHTwipX0pLgUeP\nuNZEaWncF8E//wB//w1kZHDL/v0X0NbmbjI3bw4YGXGToSH3pWFgAOjrc5NYzE1aWnS/QZbKcqfC\nmnPGxsZKlW0sLS0RFRUllfhjYmIwbtw4/r2hoSEePHiA9u3bKyosQoiAGjbkrvZNTLinimUpL+da\nG/37L9f89PFjrqz0+DF3j+HJE66clJsL5ORw/xYXAzo6/5uaNeO+PLS1uS8FbW2uPyNNTe7fpk0B\nDQ3uvYYG93RzkybcvxWTuvr/pkaNuKlhQ0BNCQasFbQdP2PsjW8jeuCKENWmpsZd3RsacjePq6Ok\nhBvaMi+PG9/46VPu/bNn3FRQwJWgcnK4vy6ePweKirh/X7zgpufPuS+Q4mLg5Uvu35IS7vXLl9xf\nKyUlXHwNGnBfAg0aSE9qav+bRKL//StrAqT/Sqns9bVr8u92Q2GJ38nJCV988QX//ubNm+jfv7/U\nOs7Ozrh16xY8PT0BAFlZWWjXrp3M/fn5+fGvJRIJJBKJ3GMmhNRPjRr9rwykSIxxTV4rptJS6feM\ncX+xVLyueF/xumKq2Ner+5X1uuLcqis0NBShoaFVrlcrN3dNTEzQv3//Sm/uHjt2DMHBwdi7dy/d\n3CWEEDmp9Ro/AKxZswbTp09HSUkJfH19YWBgAH9/fwDA9OnT0a1bN7i5ucHR0RF6enrYs2ePIsMh\nhBACeoCLEEKUVmW5UwnuTxNCCHkXlPgJIUTFKH3ir84dbmVD56wa6JxVgyLOmRK/EqJzVg10zqqB\nEj8hhJD3RomfEEJUTL1ozimRSBAWFiZ0GIQQUq+4u7vLLBXVi8RPCCFEfqjUQwghKoYSPyGEqBil\nSfzh4eGwsLBAhw4dsH79epnrLFy4EO3atYODgwPu3LlTyxHKX1XnHBgYiC5duqBLly4YM2YM7t27\nJ0CU8lWdzxngxoNo2LAhDh8+XIvRyV91zjc2NhZOTk6wsLBQil5rqzrn58+fY8KECbC3t4e7uzuO\nHTsmQJTyM3nyZDRv3hw2NjaVriP33MWUhJ2dHQsLC2OpqamsU6dOLCsrS2p5dHQ0c3V1ZU+ePGF7\n9+5lXl5eAkUqP1Wdc2RkJMvLy2OMMRYQEMDGjh0rRJhyVdU5M8ZYaWkp6927N/Py8mIHDx4UIEr5\nqep8y8vLmbW1NTt79ixjjMn8edQ3VZ3zpk2b2MyZMxljjKWmprJ27dqx8vJyIUKVi/DwcBYfH8+s\nra1lLldE7lKKK/78/HwAQK9evWBqaop+/fohOjpaap3o6GgMHz4cenp68Pb2xu3bt4UIVW6qc84u\nLi7Q0dEBAHh5edX7llHVOWeAG9Jz+PDhMDQ0rO0Q5ao653vlyhXY2tqib9++ACDV7Xl9VJ1z1tHR\nQUFBAUpKSpCTkwNNTc16PYBTz549IRaLK12uiNylFIm/smEeXxUTEwNLS0v+fcUwj/VVdc75VVu2\nbMHgwYNrIzSFqc45P3z4EMeOHcPMmTMB1O8R3apzvsHBwRCJROjZsycGDx6M4ODg2g5Trqpzzt7e\n3igrK4OBgQHc3NwQGBhY22HWKkXkLkGHXqxNTIWHeQwJCcGePXsQGRkpdCgKN2/ePKxatYrvjvb1\nz1zZvHjxAlevXkVISAiKiorwwQcfIDExERoaGkKHpjC//fYbGjZsiIyMDNy4cQNeXl5IS0uDmjIM\nhiuDInKXUvyknJycpG543Lx5E927d5dap2KYxwpvG+axPqjOOQPA9evXMWPGDBw/fhy6urq1GaLc\nVeec4+LiMHr0aLRt2xaHDh3CrFmzcPz48doOVS6qc74uLi4YMGAAWrRogXbt2sHR0RHh4eG1Harc\nVOecw8PD4ePjA01NTTg7O6Nly5ZK0XChMorIXUqR+Cvq2OHh4UhNTcXZs2fh7OwstY6zszMOHTqE\nJ0+eYO/evbCwsBAiVLmpzjmnp6dj2LBhCAwMhLm5uRBhylV1zjk5ORkpKSlISUnB8OHDsWnTJgwZ\nMkSIcN9bdc63e/fuCAsLQ1FREXJycpCQkABXV1chwpWL6pxznz59cOLECZSXlyM5ORk5OTlS5SFl\no4jcpTSlHlUc5rGqc16+fDlycnIwY8YMAECjRo0QExMjZMjvrapzVjZVna++vj4mTZoER0dHGBoa\nYvny5dDS0hI46vdT1TmPHj0at27d4s957dq1Akf8fry9vREWFobs7Gy0adMGy5YtQ0lJCQDF5S7q\nsoEQQlSMUpR6CCGEVB8lfkIIUTGU+AkhRMVQ4ieEEBVDiZ8QQlQMJX5CCFExlPgJ+Y+ZmRlycnIA\nQC4PQQUEBGDOnDnvvZ8Kjx49wogRI6pcr7J2/MeOHav3nRMS+aDET5RCWVnZe+/j1f5PLl26JNf9\nyUPLli1x4MCBGh/3yJEjUo/+E9VFiZ/UCampqbC0tMTs2bNhaWmJGTNm8E8v3r9/H5MnT4adnR2W\nLl2KgoICAIBEIsE333wDR0dHrF27Fr1798bixYthZ2cHe3t7JCUlYfjw4bC2tsbmzZv5Y3388cdw\ncHCAh4cHjhw5IjOeiqvmb7/9Fvb29rC3t0erVq0wefJkAFzHdyNGjICLiwtWrFjBb3fmzBm4uLig\nW7duuHr1qsx929ra4unTp2CMQV9fH7t37wYAjB8/HiEhIWCMYevWrfjggw/Qt29ffjCZ1NRUfrCO\nFy9eYPny5bCyssLo0aPh6uqK+Ph4/hjfffcdrKysMGbMGOTk5CAyMhInTpzAF198AXt7eyQnJ7/7\nh0SUx3v36E+IHKSkpDCRSMRCQkJYWVkZ8/T0ZGFhYYwxxj7++GO2b98+VlJSwmbOnMk2btzIGGNM\nIpEwb29vVlxczL+fOnUqKysrY35+fkwsFrOkpCRWUFDA2rRpww/WkZOTwxhjLD8/n9nb2/MxmJmZ\nsSdPnjDGGNPS0pKKLy8vj9nY2LD4+HhWWFjI+vbty54/f87KysqYt7c3i4qKYqWlpczMzIwlJSWx\n7OxsZmdnx+bMmfPGuc6YMYOdOnWK3bhxgzk5ObFPPvmEMcZYhw4dWFFREbtw4QKbP38+Ky8vZ8+e\nPWP29vasuLiYpaSk8IN1BAUFsZEjR7Li4mJ2/vx5JhKJWFxcHGOMMZFIxH7//XfGGGNTp05lO3fu\nZIwxNnHiRHbo0KH3/aiIEqArflJntGrVCn369IGamhrc3d1x+fJllJSUIDY2FiNHjkTDhg0xadIk\nqd42x4wZA3V1df69t7c31NTU4OLiAisrK7Rv3x5aWlpo06YNX+bYt28f+vTpA1dXVyQnJ+PGjRtv\njYsxBh8fHyxYsAD29vb466+/cOvWLbi4uMDBwQEJCQm4cOECoqOjYW1tjfbt20NfXx8ffvihzG6h\ne/bsifDwcFy8eBEzZ87E9evX8ejRI4jFYmhoaODQoUM4efIkunbtCjc3N+Tn58vsh3/06NFQV1dH\n7969YWpqyi9r2LAhfHx8AAAeHh64fPmy1LkQojSdtJH679Vuo9XV1VFYWMi/Z4zxfey/qmXLljL3\noa6u/sb+iouLkZycjE2bNiE0NBR6enqwt7dHbm7uW+Py8/ODiYkJJkyYAAAoLy9Hv379sGPHDqn1\nqjveQa9evfDbb7/BzMwM33//PY4cOYKDBw+iV69e/P4XLVrEH69Camoq//pt9w8aN26MJk2aAOA6\n5nvx4kW1tiOqg674SZ3FGEOjRo3QrVs3HDp0CKWlpdi5cyc+/PBDqXXeZX8ZGRkwNDSEnp4eLl26\nhGvXrr11mxMnTuDcuXNSPUAOHjwYFy9e5FvI5OTkID09Hd27d8fNmzeRnJyMJ0+e4Pjx4zITbevW\nrZGdnY2kpCS0bdsWbm5uWL16NZ/4x4wZg127diErKwsAcO/ePRQVFUntw9PTE0FBQXj58iXCwsKQ\nlpZW5fmbmpri8ePHVa5HlB8lflJnvJ4kK96vWrUKf/31FxwdHWFgYICxY8dWus2r82Xtz9XVFaam\nprCwsMCaNWv4sWori+XXX3/Fo0eP0K1bN9jb28PPzw9NmjTB1q1bsWTJEtja2qJfv37IzMyEmpoa\n/P394ePjgwEDBsDd3b3Sc+3evTs6duwIAHBzc8OjR4/g5uYGgGtKOmbMGIwYMQI2NjaYOXMm32qp\nIq5BgwahU6dOsLOzw6ZNm2BlZcWXe14971d/DkOHDsXevXthb2+PlJSUSmMjyo+6ZSakHiovL0dJ\nSQkaN26M2NhYzJs3Ty5NUIlqoBo/IfVQUVERevfujRcvXqBjx474+eefhQ6J1CN0xU8IISqGavyE\nEKJiKPETQoiKocRPCCEqhhI/IYSoGEr8hBCiYijxE0KIivl/aNhz/IOVFXAAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x8dc3358>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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Dbu7KUFQEmJlx3TtfeVCQkEaJbu6qvgZ1czciIgKWlpbo2rUrNm3aVGV7cXEx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\ngg==\n",
"text": [
"<matplotlib.figure.Figure at 0xacc3e80>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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KTwecnID79wGBHqYjRCGoqUf5UVNPHXXoAHTsCJw5I3QkhBCiWApN/NHR0eja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\n",
"text": [
"<matplotlib.figure.Figure at 0x8dbe438>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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ggLVr18LMzAxeXl6Ijo6WeBx748aNuHHjBn7//Xc8evQInp6eSE5OrtDvh7x/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\n",
"text": [
"<matplotlib.figure.Figure at 0xacdce80>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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6YuDAgTh8+LAyw6mhbVugd29q5yeEqBdNZZ58/vz5CA4OhoWFBby9veHn5yf1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\nj2oBAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0xafac4e0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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cjYmJQdeuXdGpUyesXbu2xvLS0lJMmjQJzs7O6Nu3Lw4dOqTMcKTo6QGdOgHJ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\n",
"text": [
"<matplotlib.figure.Figure at 0xb0b37b8>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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Ik0R1/KqP6vjroXVrwNwcaAJ9OBFCiNIpNPFHR0ejW7dusLa2xtq1a2utf/Hi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\nAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0xa83c9b0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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WWCxuVHmlJf6CggIA4B9dHjRoEK5fv46hQ4fyZQwMDFBYWIjy8nLk5uZCV1e3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\n",
"text": [
"<matplotlib.figure.Figure at 0xa81cdd8>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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Io0ePKjMcAICODtClC/DggdJ3RQghKklbmRtftGgRwsPDYWtrC39/fwQFBcnc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\nODo6wt7eHps3b643PyIiAr1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s/PnzbMmSJaympoY9e/aMiUQiVllZydLT07mHdURGRrIJ\nEyawyspKdu7cOSYQCFhSUhJjjDGBQMC+++47xhhjs2fPZrt372aMMTZ9+nR26NCh1/2oiBqgM36i\nMjp27IjBgwdDS0sLAwcOxJUrVyCRSJCYmIgJEyZAW1sbM2bMkOltc/LkydDV1eXGg4KCoKWlBW9v\nbzg7O6Nr164wMDBAp06duDLHjz/+iMGDB8PHxwdpaWm4devWS+NijCE4OBgffvghRCIRTp06hbt3\n78Lb2xtubm5ISUnB+fPncfXqVfTs2RNdu3aFmZkZ3nrrLbndQvfv3x9xcXG4cOEC5s+fj5s3b+LJ\nkycQCoXQ09PDoUOHcOLECfTp0we+vr4oKiqS2w//pEmToKuri0GDBsHW1pabp62tjeDgYACAn58f\nrly5InMshKhNJ22k9avbbbSuri5KS0u5ccYY18d+XR06dJC7DV1d3Xrbq6ysRFpaGrZt24aYmBiY\nmppCJBKhoKDgpXGFhYXBxsYG06ZNAwDU1NRg2LBh+P7772WWa+rzDgYMGICvv/4adnZ2+Pe//40j\nR47gp59+woABA7jtL1u2jNtfrYyMDO71y64fvPHGG2jbti0Aacd8FRUVTVqPaA464ycqizEGHR0d\neHp64tChQ6iqqsLu3bvx1ltvySzTnO1lZ2fDwsICpqamuHTpEm7cuPHSdY4fP46zZ8/K9AA5atQo\nXLhwgWshk5+fj6ysLPTt2xd37txBWloanj59imPHjslNtNbW1sjLy0Nqaio6d+4MX19frF+/nkv8\nkydPxp49e5CbmwsAePDgAcrKymS24e/vj8jISDx//hyxsbHIzMxs9PhtbW3x559/NrocUX+U+InK\neDFJ1o6vW7cOp06dgru7O8zNzTFlypQG16k7Xd72fHx8YGtrC0dHR2zcuJF7Vm1DsXz55Zd48uQJ\nPD09IRKJEBYWhrZt2+Lbb7/FihUr0KtXLwwbNgw5OTnQ0tJCeHg4goODERAQgIEDBzZ4rH379kX3\n7t0BAL6+vnjy5Al8fX0BSJuSTp48GePHj4eLiwvmz5/PtVqqjWvkyJHo0aMHXF1dsW3bNjg7O3Pl\nnrrHXfd9GDNmDPbv3w+RSIT09PQGYyPqj7plJqQVqqmpgUQiwRtvvIHExEQsXrxYIU1QiWagGj8h\nrVBZWRkGDRqEiooKdO/eHRs2bOA7JNKK0Bk/IYRoGKrxE0KIhqHETwghGoYSPyGEaBhK/IQQomEo\n8RNCiIahxE8IIRrm/wF592rZnm+z5gAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0xbd100b8>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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W1ti4cWON5a9evcLkyZPh5OSEXr164cSJE4oMBwAlfkIIUVfkzhcsWICtW7fC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\n8AAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x82f9668>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x84a2da0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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SEhKQlpYGHx8fDB8+vEHjftSHhoZ46IbUVMDeXiG7IKTREQqFCvuZIo2DUCh8\np/YKS/yFhYUAwN26PGjQIERHR8Pf359ro6enh6KiIpSXlyMvLw/a2toK/w9aXe6hxE/URV5eHt8h\nkEZGYaWe2NhYiTE37O3tERUVJdEmICAAlZWVMDIygpeXF4KDgxUVDocu8BJC1J1CSz11+fXXX6Gp\nqYnMzEzcuXMH/v7+SEtLg4ZG7d9HQUFB3GuRSARRA2+/pQu8hBBVFR4ejvDw8DrbKWzIhsLCQohE\nIiQkJAAA5s2bh8GDB0uUesaMGYNPP/0Uvr6+AAB3d3fs2bOn1uh88rzl/MgRYP9+4H/DZRNCiMpS\n+pANenp6AMQ9e1JTU3H+/Hm4u7tLtOnfvz9OnTqFqqoqJCcnIy8vT+aQrPJCpR5CiLpTaKln7dq1\nmDVrFsrLyxEYGAgjIyNs2bIFADBr1iyMGzcOiYmJcHV1hbGxMdatW6fIcAD8XephDKCODoQQdaRW\no3NWEwqBR48AGQ/6IYQQlUCjc9ZAY/YQQtSZWiZ+6tlDCFFnapn46QIvIUSdqWXipzN+Qog6U8vE\nT2f8hBB1ppaJ39YWSEriOwpCCOGHWnbnrKgA2rQB8vMBLS25bZYQQhoV6s5Zg6amuNzz+DHfkRBC\niPKpZeIHgE6dgIcP+Y6CEEKUjxI/IYSoGUr8hBCiZijxE0KImqHETwghakZtE3/btkBpqbhLJyGE\nqBO1TfwCgfis/9EjviMhhBDlUtvED1C5hxCintQ+8f/1F99REEKIcql94qczfkKIuqHET4mfEKJm\n1HKQtmqFhUC7dkBRET14nRCiemiQNin09MSjdGZk8B0JIYQoj1onfoDKPYQQ9UOJnxI/IUTNUOKn\nxE8IUTOU+CnxE0LUjNon/s6dgfv3+Y6CEEKUR627cwJAeTmgqwvk5gLa2grZBSGE8IK6c8rQvLm4\n3ENn/YQQdaH2iR8AHByAe/f4joIQQpSDEj+Arl2Bu3f5joIQQpSDEj/EZ/yU+Akh6oISP8Rn/FTq\nIYSoC4Um/sjISHTp0gW2trZYv3691DaxsbFwc3NDly5dIBKJFBmOTNbWQE4O8OIFL7snhBClUmh3\nTmdnZ6xbtw6Wlpbw9fXFlStXYGRkxC1njKFbt274+eefMWDAAOTk5Egs54JUYHfOaq6uwK+/Ar16\nKXQ3hBCiNErvzllYWAgA6Nu3LywtLTFo0CBER0dLtLlx4wa6deuGAQMGAIDUpK8sdIGXEKIuFJb4\nY2NjYWdNLI4zAAAbgklEQVRnx723t7dHVFSURJvQ0FAIBAL06dMHw4YNQ2hoqKLCqRN16SSEqAtN\nPndeWlqKmzdvIiwsDCUlJRg4cCDu3r0LLS2tWm2DgoK41yKRSO7XA7p2Bc6dk+smCSFEqcLDwxEe\nHl5nO4XV+AsLCyESiZCQkAAAmDdvHgYPHgx/f3+uzZkzZxAeHo6ffvoJADB27FhMmzYNvr6+kkEq\nocafng64uwOZmQrdDSGEKI3Sa/x6enoAxD17UlNTcf78ebi7u0u06dWrFyIiIlBSUoK8vDwkJCTA\n09NTUSG9lbk5UFwsHrOHEEJUmUJLPWvXrsWsWbNQXl6OwMBAGBkZYcuWLQCAWbNmwdDQEFOnToWr\nqyuMjY2xYsUKtGnTRpEhySQQ/F3n79uXlxAIIUQp6lXqyczMxMWLFzFhwgRkZ2fj5cuXsLa2VkZ8\nAJRT6gGAGTOAHj2AOXMUvitCCFG4Bpd6tm7dioCAACxfvhwA8Pr1a0ycOFH+ETYC1KWTEKIO6kz8\n+/btw7lz59C6dWsAQLt27VBUVKTwwPhAY/YQQtRBnYlfT08PGhp/N0tPT0f79u0VGhRfunUDbt8G\nGv+jaQghpOHqTPyTJ0/GhAkTUFBQgOXLl2Po0KGYPn26MmJTOhMToHVrIDWV70gIIURx6nVxNzU1\nFUeOHEFVVRXGjRsHc3NzZcTGUdbFXQAYPhyYPBkYNUopuyOEEIWRlTvV/pm7bwoKEj+H91//Usru\nCCFEYRrcq6dNmzbQ0dGBjo4OWrRoAQ0NDejq6iokyMagRw/gfzcbE0KISqrzBq6XL19yr0tKSrB3\n715kZWUpNCg+OTsDcXHiC7wCAd/REEKI/DWo1GNvb4/ExERFxCOVMks9jIkv8t66BZiZKWWXhBCi\nELJyZ51n/EeOHOFel5WVISIiAk5OTvKNrhERCMTlnvh4SvyEENVUZ+I/deoUBP+rebRq1Qqenp4Y\nOnSowgPjU3XiV/HDJISoKerVI8Xhw0BwMHD8uNJ2SQghcvfO3TnnzZv31o398ssv8ouuDspO/I8f\nA/36icfoJ4SQpuqda/wuLi5ciefNFQUq3t2lQwfgxQsgJwfg8THAhBCiEFTqkaFfP2DxYmDgQKXu\nlhBC5KbBvXry8vJw+PBhhIaGIj8/n9vYxYsX5R9lI+LsLL7AS4mfEKJq6rxzd8mSJSgsLERiYiLm\nz58PfX19eHt7KyM2XlX37CGEEFVTZ6nH2dkZCQkJcHR0xK1bt1BaWoo+ffogLi5OWTHyUupJTBQP\n2JaUpNTdEkKI3DS41NOyZUsA4gej7969GzY2NkpPwnywsxNf3M3OBoyN+Y6GEELkp85Sz7fffouC\nggJ8/fXXiIyMxPfff481a9YoIzZeaWgAPXsCUVF8R0IIIfJVZ6knOzsbxjyf8vJR6gGAZcvEQzT/\n8IPSd00IIe+twcMy9+7dG4MGDcKOHTu4Xj3qwsMDuH6d7ygIIUS+6tWPPzo6GgcPHsSJEydgb2+P\nsWPHYtKkScqIDwB/Z/wFBYC5OZCfD2jWeTWEEEIaF7k8gSsnJwf/+Mc/EBwcjKqqKrkG+DZ8JX4A\ncHAA9u0Td+8khJCmpMGlnsLCQuzevRt+fn7w8PCAqakpYmNjFRJkY0TlHkKIqqnzjN/a2hojRozA\n2LFj4eHhoay4JPB5xr9jB3DpErB/Py+7J4SQBmtwqaeqqgoaGuI/DE6fPs3LWPx8Jv7ERGDYMPGI\nnYQQ0pTIpcZffRevsvGZ+KuqAEND4MED4IMPeAmBEEIapME1fnWnoQH06kV1fkKI6qgz8ZeVleHI\nkSOYMWMGhEIhjh49irKyMmXE1mjQBV5CiCqps3f6qlWrcPv2bQQEBAAAfvvtN9y5cwfLli1TeHCN\nhYcH8P33fEdBCCHyUWeNv0uXLrh58yY3WFtZWRmcnJxw//79OjceGRmJWbNmoaKiAoGBgTIf5xgb\nGwsPDw+EhIRg5MiRtYPkscYPiJ/GZWYG5OYC//sYCCGk0XuvIRv++OMP7v2ff/5Z726d8+fPx5Yt\nWxAWFoYNGzYgJyenVpvKykp88803GDx4cKMd9VNXV3wjFw3YRghRBXUm/uvXr2PUqFEQCoUQCoUY\nOXIkoqKi4OjoiG7duslcr7CwEADQt29fWFpaYtCgQYiOjq7Vbv369Rg9ejTvA8HVpV8/QMUfOkYI\nURN11vhrnu2/i9jYWNjZ2XHv7e3tERUVBX9/f27e06dPceLECVy8eBGxsbGN+iHuPj7iOv/y5XxH\nQggh76fOxG9lZaWwnS9YsACrVq3i6lBvK/UEBQVxr0UiEUQikcLiksbTE0hIAIqLgdatlbprQgip\nl/DwcISHh9fZ7p1u4HoXhYWFEIlE3A1f8+bNw+DBgyXO+Dt06MAl+5ycHGhra2Pbtm0YPny4ZJA8\nX9yt1qcPsHQpMGgQ35EQQkjdlH4Dl56eHgBxz57U1FScP38e7u7uEm2Sk5ORkpKClJQUjB49Gps2\nbaqV9BsTHx+q8xNCmj6FjjK/du1azJo1C+Xl5QgMDISRkRG2bNkCAJg1a5Yid60QPj7A11/zHQUh\nhLwfhZV65KmxlHrKygAjI+C//wX+9wcNIYQ0WjRWjxy0bAm4uwORkXxHQgghDUeJ/x35+IjH5yeE\nkKaKEv87ohu5CCFNHdX431F5OWBiAty/D7Rty3c0hBAiG9X45aR5c2DgQKCBNzQTQgjvKPE3gL8/\ncOYM31EQQkjDUKmnAZ4/Bzp1Ev/bogXf0RBCiHRU6pEjExPAzo66dRJCmiZK/A00dCiVewghTRMl\n/gby9wdOn+Y7CkIIeXeU+BvIyQkoKQEePuQ7EkIIeTeU+BtIIKCzfkJI00SJ/z1QnZ8Q0hRRd873\nUFwMmJoCaWmAUMh3NIQQIom6cypA69bAgAHA8eN8R0IIIfVHif89jR0LHDrEdxSEEFJ/VOp5T8XF\ngJkZ8Pix+CEthBDSWFCpR0FatwYGDwaOHuU7EkIIqR9K/HJA5R5CSFNCpR45ePVK3LvnwQMao58Q\n0nhQqUeBtLTEffp//53vSAghpG6U+OWEyj2EkKaCSj1yUlYm7t0THw9YWvIdDSGEUKlH4Vq2BMaP\nB3bt4jsSQgh5Ozrjl6Nbt4Bhw4CUFKBZM76jIYSoOzrjV4Lu3YEPPgDOneM7EkIIkY0Sv5zNmAFs\n28Z3FIQQIhuVeuTsxQvxxd3796lPPyGEX1TqURJdXWDkSGDvXr4jIYQQ6eiMXwGuXwcmTwb++kv8\npC5CCOEDnfErUa9eQKtWdJGXENI4UeJXAIEA+OILYM0aviMhhJDaFJ74IyMj0aVLF9ja2mL9+vW1\nlgcHB6N79+7o3r07xo8fj4cPHyo6JKUICADu3RP37SeEkMZE4TV+Z2dnrFu3DpaWlvD19cWVK1dg\nVOOJJdevX4e9vT309PSwZ88ehIWFYd++fZJBNrEaf7VVq8S9e/bs4TsSQog6kpU7FZr4CwsLIRKJ\nkJCQAAAIDAyEr68v/P39pbbPyclBjx49kJ6eLhlkE038+flAx47A7dtA+/Z8R0MIUTe8XNyNjY2F\nnZ0d997e3h5RUVEy22/duhXDhg1TZEhKJRQCn3wCSKlwEUIIbzT5DqBaWFgY9u/fj2vXrkldHhQU\nxL0WiUQQiUTKCew9LVgAuLgA334r7uNPCCGKEh4ejvDw8DrbKbXUM2/ePAwePLhWqef27dsYOXIk\nzp49Cxsbm9pBNtFST7VPPhGXfJYt4zsSQog64aXUo6enB0Dcsyc1NRXnz5+Hu7u7RJv09HSMGjUK\nwcHBUpO+KggKEpd7cnL4joQQQpTQqyciIgKzZ89GeXk5AgMDERgYiC1btgAAZs2ahenTp+PYsWOw\nsLAAADRv3hwxMTGSQTbxM34AmDsXaN0a+OknviMhhKgLXnr1yIsqJP6MDMDRUdzDp107vqMhhKgD\nSvyNwDffAIWFwObNfEdCCFEHlPgbgdxcoHNn4No1oFMnvqMhhKg6GqStETA0BBYtAubNA1Tg9xgh\npImixK9kgYHA06fAkSN8R0IIUVdU6uHB5cvA+PFAYiKgo8N3NIQQVUU1/kZm8mTAxIS6dxJCFIcS\nfyPz7Jm4e+f580D37nxHQwhRRXRxt5H54APx2f7EiUBpKd/REELUCZ3x84gxYOxY8Q1dP//MdzSE\nEFVDpZ5GKi9PXOrZsQMYNIjvaAghqoRKPY2UgQGwezcwbRoN4kYIUQ5K/I1A//7ioZvHjAHKy/mO\nhhCi6qjU00hUVgIjRgBWVsCvv/IdDSFEFVCpp5Fr1gw4cAC4eBH436jVhBCiEI3m0YtE/GjGkycB\nT0/xE7sGDOA7IkKIKqIz/kbGxgY4fFg8pMPVq3xHQwhRRZT4G6G+fYH9+4GPPgLi4viOhhCiaijx\nN1KDBgHbtgH+/sCtW3xHQwhRJVTjb8RGjBB37xw4EDh0COjXj++ICCGqgM74G7nRo8VJf+xYICSE\n72gIIaqA+vE3Ebduics+n30mfnavBv3KJoTUgcbqUQFPnojv7jU2BvbsAYRCviMihDRmdAOXCjA3\nByIigA4dABcXIDqa74gIIU0RnfE3UUeOiMs+kyYBy5cD2tp8R0QIaWzojF/FjBoF3L4tLv907w6E\nhfEdESGkqaAzfhVw4gSwcCHQpQvw738D9vZ8R0QIaQzU9uKuQCCQczSEENJ0SMudKn8DVxP4vSZX\neXnAL78AGzYAPj7AV18Brq58R0UI4YOsE1+VP+NXV0VFwNat4rH9DQyAWbOAgABAR4fvyAghyqK2\npR51V1UFnD8vHuP/wgXxGEBjxwJDhlBPIEJUHSV+gtxc4Ngx8dAPUVGAlxfg5wf4+gK2tgBdDiFE\ntfDSnTMyMhJdunSBra0t1q9fL7XNokWL0KFDB7i4uODBgweKDEftGRoC06cD584B6eniB7wnJIif\n+WtmJv5LYP168S+FV6/4jpYQoigKPeN3dnbGunXrYGlpCV9fX1y5cgVGRkbc8piYGCxcuBAnT55E\naGgogoODcfr06dpB0hm/QjEGpKUBkZHih7/cuAHcvy9+KIyjI+DgIJ5sbcV3DbdqxXfEhJD6UHqp\np7CwECKRCAkJCQCAwMBA+Pr6wt/fn2uzfv16VFZWYsGCBQCAjh074vHjx/UOnihOaSlw7554unsX\nSEwEHj0S/4IwMQEsLcWThYX4rwVTU/FkYiIeS0hXl0pHhPBNVu5UWHfO2NhY2NnZce/t7e0RFRUl\nkfhjYmIwadIk7r2xsTEeP36Mjh07KiosUk+tWonHA3JxkZxfUSG+WzgtTVwuSk8X/3Vw4QKQmQlk\nZ4un0lJxbyKhUDzp6YknXV1xz6I2bYDWrcWTlpb4QrOWlni/LVv+PbVoIZ6aN/970tT8+99mzcT/\namjQLxpC6ovXfvyMsVq/jeiGq8ZNUxOwthZPb1NaCuTni6e8PKCwEHjxQvxvcTHw8iXw/Ln4WkJJ\niXgqLf17KisDXr/++9/y8r+nigrxv5WV4tcVFeJylUAg/kXQrJn4F4G0SSAQTzVf15yAt7+u9q6v\na1Lmf3H6cWr6bt0SnwTJk8ISv5ubG7766ivu/b179zB48GCJNu7u7khMTISvry8AIDs7Gx06dJC6\nvaCgIO61SCSCSCSSe8xEflq1+rv8owyMibuuVlaK/635uuYyxv5+X/26eqrejqzXNff1Lq/fjFNZ\nqDqqGpo3r3/b8PBwhIeH19lOKRd3LSwsMHjwYJkXd0+cOIHQ0FAcOHCALu4SQoicKL3GDwBr167F\nrFmzUF5ejsDAQBgZGWHLli0AgFmzZqFnz57w8vKCq6srDAwMsH//fkWGQwghBHQDFyGEqCwaj58Q\nQggASvyEEKJ2VD7x1+cKt6qhY1YPdMzqQRHHTIlfBdExqwc6ZvVAiZ8QQsh7o8RPCCFqpkl05xSJ\nRIiIiOA7DEIIaVK8vb2lloqaROInhBAiP1TqIYQQNUOJnxBC1IzKJH51fMxjXcccHByM7t27o3v3\n7hg/fjwePnzIQ5TyVZ/vGRA/D0JTUxNHjx5VYnTyV5/jjY2NhZubG7p06aISo9bWdcyvXr3C5MmT\n4ezsDG9vb5w4cYKHKOVn2rRp+OCDD+Do6CizjdxzF1MRTk5OLCIigqWmprLOnTuz7OxsieXR0dHM\n09OT5ebmsgMHDjB/f3+eIpWfuo752rVrrKCggDHG2O7du9nEiRP5CFOu6jpmxhirqKhg/fr1Y/7+\n/uz333/nIUr5qet4q6qqWNeuXdn58+cZY0zq59HU1HXMmzZtYnPmzGGMMZaamso6dOjAqqqq+AhV\nLiIjI1l8fDzr2rWr1OWKyF0qccZfWFgIAOjbty8sLS0xaNAgREdHS7SJjo7G6NGjYWBggICAANy/\nf5+PUOWmPsfs4eEBPT09AIC/v3+T7xlVn2MGxI/0HD16NIyNjZUdolzV53hv3LiBbt26YcCAAQAg\nMex5U1SfY9bT00NRURHKy8uRl5cHbW3tJv0Apz59+kAoFMpcrojcpRKJX9ZjHmuKiYmBvb099776\nMY9NVX2OuaatW7di2LBhyghNYepzzE+fPsWJEycwZ84cAE37iW71Od7Q0FAIBAL06dMHw4YNQ2ho\nqLLDlKv6HHNAQAAqKythZGQELy8vBAcHKztMpVJE7uL10YvKxNT4MY9hYWHYv38/rl27xncoCrdg\nwQKsWrWKG472ze9c1ZSWluLmzZsICwtDSUkJBg4ciLt370JLS4vv0BTm119/haamJjIzM3Hnzh34\n+/sjLS0NGhoqcR5biyJyl0p8Um5ubhIXPO7du4devXpJtKl+zGO1tz3msSmozzEDwO3btzF79myc\nPHkS+vr6ygxR7upzzHFxcRg3bhysra1x5MgRzJ07FydPnlR2qHJRn+P18PCAn58f2rZtiw4dOsDV\n1RWRkZHKDlVu6nPMkZGRmDBhArS1teHu7g4zMzOV6LggiyJyl0ok/uo6dmRkJFJTU3H+/Hm4u7tL\ntHF3d8eRI0eQm5uLAwcOoEuXLnyEKjf1Oeb09HSMGjUKwcHBsLGx4SNMuarPMScnJyMlJQUpKSkY\nPXo0Nm3ahOHDh/MR7nurz/H26tULERERKCkpQV5eHhISEuDp6clHuHJRn2Pu378/Tp06haqqKiQn\nJyMvL0+iPKRqFJG7VKbUo46PeazrmFesWIG8vDzMnj0bANC8eXPExMTwGfJ7q+uYVU1dx2toaIip\nU6fC1dUVxsbGWLFiBdq0acNz1O+nrmMeN24cEhMTuWNet24dzxG/n4CAAERERCAnJwfm5uZYvnw5\nysvLASgud9GQDYQQomZUotRDCCGk/ijxE0KImqHETwghaoYSPyGEqBlK/IQQomYo8RNCiJqhxE/I\n/1hZWSEvLw8A5HIT1O7duzFv3rz33k61jIwMfPzxx3W2k9WP/8SJE01+cEIiH5T4iUqorKx8723U\nHP/k6tWrct2ePJiZmeHw4cMN3u+xY8ckbv0n6osSP2kUUlNTYW9vj88++wz29vaYPXs2d/fio0eP\nMG3aNDg5OWHZsmUoKioCAIhEInz77bdwdXXFunXr0K9fPyxZsgROTk5wdnZGUlISRo8eja5du2Lz\n5s3cvj766CO4uLjAx8cHx44dkxpP9Vnzd999B2dnZzg7O6Ndu3aYNm0aAPHAdx9//DE8PDzwww8/\ncOudO3cOHh4e6NmzJ27evCl12926dcOLFy/AGIOhoSH27dsHAPjkk08QFhYGxhi2bduGgQMHYsCA\nAdzDZFJTU7mHdZSWlmLFihVwcHDAuHHj4Onpifj4eG4f33//PRwcHDB+/Hjk5eXh2rVrOHXqFL76\n6is4OzsjOTn53b8kojree0R/QuQgJSWFCQQCFhYWxiorK5mvry+LiIhgjDH20UcfsYMHD7Ly8nI2\nZ84ctnHjRsYYYyKRiAUEBLCysjLu/fTp01llZSULCgpiQqGQJSUlsaKiImZubs49rCMvL48xxlhh\nYSFzdnbmYrCysmK5ubmMMcbatGkjEV9BQQFzdHRk8fHxrLi4mA0YMIC9evWKVVZWsoCAABYVFcUq\nKiqYlZUVS0pKYjk5OczJyYnNmzev1rHOnj2bnTlzht25c4e5ubmxmTNnMsYYs7W1ZSUlJezSpUts\n4cKFrKqqir18+ZI5OzuzsrIylpKSwj2sIyQkhI0ZM4aVlZWxixcvMoFAwOLi4hhjjAkEArZ9+3bG\nGGPTp09ne/bsYYwxNmXKFHbkyJH3/aqICqAzftJotGvXDv3794eGhga8vb1x/fp1lJeXIzY2FmPG\njIGmpiamTp0qMdrm+PHj0aJFC+59QEAANDQ04OHhAQcHB3Ts2BFt2rSBubk5V+Y4ePAg+vfvD09P\nTyQnJ+POnTtvjYsxhgkTJuCLL76As7Mz/vzzTyQmJsLDwwMuLi5ISEjApUuXEB0dja5du6Jjx44w\nNDTEiBEjpA4L3adPH0RGRuLy5cuYM2cObt++jYyMDAiFQmhpaeHIkSM4ffo0evToAS8vLxQWFkod\nh3/cuHFo0aIF+vXrB0tLS26ZpqYmJkyYAADw8fHB9evXJY6FEJUZpI00fTWHjW7RogWKi4u594wx\nboz9mszMzKRuo0WLFrW2V1ZWhuTkZGzatAnh4eEwMDCAs7Mz8vPz3xpXUFAQLCwsMHnyZABAVVUV\nBg0ahF27dkm0q+/zDvr27Ytff/0VVlZW+Ne//oVjx47h999/R9++fbntL168mNtftdTUVO71264f\ntGzZEq1atQIgHpivtLS0XusR9UFn/KTRYoyhefPm6NmzJ44cOYKKigrs2bMHI0aMkGjzLtvLzMyE\nsbExDAwMcPXqVdy6deut65w6dQoXLlyQGAFy2LBhuHz5MtdDJi8vD+np6ejVqxfu3buH5ORk5Obm\n4uTJk1ITbfv27ZGTk4OkpCRYW1vDy8sLq1ev5hL/+PHjsXfvXmRnZwMAHj58iJKSEolt+Pr6IiQk\nBK9fv0ZERATS0tLqPH5LS0s8f/68znZE9VHiJ43Gm0my+v2qVavw559/wtXVFUZGRpg4caLMdWrO\nl7Y9T09PWFpaokuXLli7di33rFpZsfz888/IyMhAz5494ezsjKCgILRq1Qrbtm3D0qVL0a1bNwwa\nNAhZWVnQ0NDAli1bMGHCBPj5+cHb21vmsfbq1QudOnUCAHh5eSEjIwNeXl4AxF1Jx48fj48//hiO\njo6YM2cO12upOq6hQ4eic+fOcHJywqZNm+Dg4MCVe2oed83PYeTIkThw4ACcnZ2RkpIiMzai+mhY\nZkKaoKqqKpSXl6Nly5aIjY3FggUL5NIFlagHqvET0gSVlJSgX79+KC0tRadOnbBmzRq+QyJNCJ3x\nE0KImqEaPyGEqBlK/IQQomYo8RNCiJqhxE8IIWqGEj8hhKgZSvyEEKJm/h+13ZGhcuUaUwAAAABJ\nRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x84d9dd8>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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RcOKPjY1F165d0alTJ6xZs6ba9qdPn2Lq1KlwdXWFr68vDh48qMlwqMZPCCEA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\nCCECQ4mfEEIEhhI/IYQIDCV+QggRmP8HGNOWYGgqQ7wAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x84dbda0>"
]
},
{
"metadata": {},
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QSqV1Kq+xxF9YWAgAwqPLQ4YMQVxcHAIDA4UyJiYmKCoqQnl5OfLy8mBkZKTR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\n/wdaJGIHrNJBiwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0xc269550>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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Tf3x8PBwdHWFvb4/169fX2f7ixQtMmjQJ7u7uCAgIwNGjR9UZDiwtKfETQoi2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\nS/4AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0xba71240>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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J6rLc+aJFixASEgILCwt4e3vDz89P5HbsPXv2oE2bNkhNTcWDBw/g5eWF0aNH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\nAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0xae4c748>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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w6dOnIyoqCra2tggODkZoaKjc17E3btyIVq1aIT09Hbm5uQgMDMSbb775UvN+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\n0KFD6Ny5c80gG+Gonip37wJ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ws7PDP//5T+zevRs///wz+vfvLxx/zpw5wvmq5OTkCM9f\ndP3gtddeQ8uWLQHIJuZ7/PhxvfZj2oNb/KzRIiLo6emhd+/e2LlzJ549e4aNGzfirbfekivTkOPl\n5+fD0tISZmZmOHnyJM6dO/fCffbv348jR47IzQA5dOhQHD9+XBghU1RUhLy8PPTp0wcXL15EVlYW\n7t27h3379tWaaDt27IjCwkJkZmaiU6dO8PPzw9KlS4XEP2bMGGzatAkFBQUAgGvXrqG8vFzuGMHB\nwYiJicHTp0+RkJCA3NzcOutva2uLu3fv1lmONX+c+Fmj8XySrFpesmQJfv31V3h6esLCwgJjx45V\nuE/19bUdz9fXF7a2tujWrRuWLVsm3KtWUSzffPMNbt++jd69e8Pd3R2RkZFo2bIlfvjhB8ybNw89\nevRAUFAQ7ty5Ax0dHURFRSEsLAyDBw+Gv7+/wrr26dMHTk5OAAA/Pz/cvn0bfn5+AGRDSceMGYOR\nI0fC1dUVU6ZMEUYtVcU1ZMgQdOnSBW5ubli1ahVcXFyE7p7q9a7+OgwbNgxbt26Fu7s7srOzFcbG\nmj+elpmxJqiyshJSqRSvvfYakpOTMWPGDKUMQWXagfv4GWuCysvLERAQgMePH8PJyQn/+c9/NB0S\na0K4xc8YY1qG+/gZY0zLcOJnjDEtw4mfMca0DCd+xhjTMpz4GWNMy3DiZ4wxLfP/P6bu38IA5v0A\nAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0xae4e9b0>"
]
}
],
"prompt_number": 20
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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