Created
September 8, 2017 03:35
-
-
Save yngtodd/32b032ecffcc9ef080cba387b9f54cd4 to your computer and use it in GitHub Desktop.
Hitchhiker's Guide to NMF
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| { | |
| "cells": [ | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f1613ec8a20>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "import os\n", | |
| "import numpy as np\n", | |
| "\n", | |
| "%matplotlib inline\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "plt.set_cmap(\"viridis\")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 5, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "# Let's remind ourselves of what the objective function was\n", | |
| "def objective(space):\n", | |
| " # New setting for each hyperparameter\n", | |
| " alpha, l1 = space\n", | |
| "\n", | |
| " model.set_params(alpha=alpha, l1_ratio=l1)\n", | |
| " W=model.fit_transform(rcv1.data)\n", | |
| "\n", | |
| " nmf_labels_pred=np.array(W.argmax(1)).flatten()\n", | |
| " rcv1_labels_true=np.array(rcv1.target.argmax(1)).flatten()\n", | |
| " rel_err = model.reconstruction_err_\n", | |
| " nmf_nmi = metrics.normalized_mutual_info_score(rcv1_labels_true, nmf_labels_pred)\n", | |
| " # nmf_ch = metrics.calinski_harabaz_score(rcv1.data, nmf_labels_pred)\n", | |
| " print('rel err:' + str(rel_err) + ' nmf_nmi:' + str(nmf_nmi))\n", | |
| " return nmf_nmi" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 8, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Number of Gaussian processes over non-negative matrix factorizations: 4\n", | |
| "\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "from skopt import load\n", | |
| "mi103_path = '/home/yngtodd/Desktop/nlp/results_mi_rand103'\n", | |
| "\n", | |
| "mi103_results = []\n", | |
| "for file in os.listdir(mi103_path):\n", | |
| " full_path = os.path.join(mi103_path, file)\n", | |
| " #print(file)\n", | |
| " mi103_results.append(load(str(full_path)))\n", | |
| "\n", | |
| "print(\"Number of Gaussian processes over non-negative matrix factorizations: {}\\n\".format(len(mi103_results)))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 9, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "res0 = mi103_results[0]\n", | |
| "res1 = mi103_results[1]\n", | |
| "res2 = mi103_results[2]\n", | |
| "res3 = mi103_results[3]" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 10, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<matplotlib.axes._subplots.AxesSubplot at 0x7f1601ea41d0>" | |
| ] | |
| }, | |
| "execution_count": 10, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "/home/yngtodd/anaconda3/lib/python3.6/site-packages/matplotlib/font_manager.py:280: UserWarning: Matplotlib is building the font cache using fc-list. This may take a moment.\n", | |
| " 'Matplotlib is building the font cache using fc-list. '\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "image/png": "iVBORw0KGgoAAAANSUhEUgAABDUAAAOlCAYAAAB9sdwsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nCFif+q1py0QAAAAASUVORK5CYII=\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f1601ea4710>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "from skopt.plots import plot_convergence\n", | |
| "fig=plt.figure(figsize=(18, 16))\n", | |
| "\n", | |
| "plot_convergence((\"gp_zero\", res0),\n", | |
| " (\"gp_one\", res1),\n", | |
| " (\"gp_two\", res2),\n", | |
| " (\"gp_three\", res3))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 11, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXoAAAFbCAYAAADbUEUDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xm8VXW9//HXm1mQURQZRFBRwxSEk6aZDUoioWgOade0\nMhGvlV5vGV37JTZdm27Z4IBmoaVGmoqmFlBOJSooDqjIIDPIpIAIB845n98f63t0s9n77OHss9fZ\na3+ej8d+7DV91/6sc+Bz1v6u7yAzwznnXHK1iTsA55xzLcsTvXPOJZwneuecSzhP9M45l3Ce6J1z\nLuE80TvnXMJ5onfOuYTzRO+ccwnnib6CSZog6YaU9e9Luj3OmJxzrY+8Z2zlktQZmA8cDhwHfA84\n1sy2xRqYc65V8URf4ST9GOgCnAyMMrNFMYfknGtlPNFXOEmHAq8C48xsWtzxOOdan3ZxB+Ca7TvA\nOlJ+l5K6ANcDO4BHzeyPMcXmnGsF/GFsBZP030An4GzgspRdnwHuNrOLgFPjiM0513r4HX2FkvRJ\n4IvAMWa2RVI3ScPNbC4wAHgpHFofW5DOuVbB7+grkKSBwC3AWWa2JWy+Drg8LK8gSvbgv2Pnqp4/\njE2gUEf/a2A78KTX0TtX3TzRO+dcwvnXeuecSzhP9M45l3CJTfSSRkuaL2mhpIkZ9kvSL8P+FyWN\nyPO8t0paK+nlLPs/LmmTpLnh9Z0CYu4k6RlJL0iaJ+maUsUdyraV9LykB0scdw9Jd0t6TdKrko4p\nRcySDkmJZ66kzZIuTzum6LidqxaJbF4pqS3wG2AUUQuUZyVNM7NXUg47GRgSXkcDN4T3XH5P9KDz\ntiaOecLMxhYRei3wSTN7R1J74ElJD5vZrBLEDVFb+1eBbiWO+zrgETM7U1IHoHPa/qJiNrP5wHB4\n73e6Eri3hHE7VxWSekd/FLDQzBab2Q7gLmBc2jHjgNssMgvoIalvrhOb2ePAxpJHHJ3bzOydsNo+\nvNKflhcVt6QBwKeJmmWWjKTuwPHAbwHMbIeZvV2KmNOcACwys6XNDtq5KpPURN8fWJ6yviJsK/SY\nYh0bqigelnRYIQVD9cpcYC0w3cyeTjuk2Lh/AVwJNJQ47sFEQzD8LlQL3RKad5Yi5lTnAHdm2Vf0\nz9u5apDURB+n54CBZnYE8CvgvkIKm1m9mQ0n6vB0lKQPNjcgSWOBtWY2p4nDio27HTACuMHMjgS2\nArs9E2mOUB10KvDnDLub9fN2rhokNdGvBPZLWR8QthV6TMHMbHNj9YuZPQS0l9S7iPO8DfwTGJ22\nq5i4PwKcKmkJUTXWJyX9oURxrwBWpHzzuJso8Tc35lQnA8+Z2ZvpO0r183YuyZKa6J8FhkgaHO4G\nzwHSh/CdBpwfWoR8GNhkZqub+8GS9pWksHwU0c94Q55l95bUIyzvQfQw+bXmxm1m3zKzAWY2iOhn\n8Q8zO68UcZvZGmC5pEPCphOAV9IOa+7P+lyyVNs05+ftXLVIZKsbM6uT9BXgb0Bb4FYzmydpQth/\nI/AQMAZYCLxLNEBYTpLuBD4O9Ja0Aria6KFp43nPBC6RVAdsA86x/Lsf9wWmhBYmbYCpZvZgKeLO\nci2p521O3F8F/hj+qC4GvliqmEN9/yjg4haI27mq4EMgOOdcwiW16sY551zgid455xLOE71zziWc\nJ3rnnEu4qkv0ksb7uf3czlWTqkv0QEsmBz93cs7tXGJUY6J3zrmqkth29L1797ZBgwbttn3dunXs\nvffe2QuuWgX9+hX1mTnP3Qx+7qbPPWfOnPVm1jIf5FyFS2TPWIBBgwYxe/bswgtKUbJ3FUWSD1/s\nXBZedZPuoovijsA550rKE326yZPjjsA550rKE326kSPjjsA550oqsXX0RXvuubgjaDXefncHC9e+\nw6J177B2cy0btu7g7Xd3sH1nAzvqG9hZH01WJQkBbdsoekm0bRve2wgJ2ip6B2h8/m8py40kaKPo\nXO3btqFD2zZ0aNeGLh3b0aVDW7p2as8ZIweU7WfgXBJ4onfvefvdHTy+YD1PvL6Ofy1cz6pN23fZ\nv2fHdvTs0p5O7drSoV0b2rd9/wuhmVFvRn0D1Dc0UN9g0cuMhgZoSMvoanxvzP4p52kwqDdjZ30D\nO+oaqK2LzgfQrVM7T/TOFcgTfbq+hc5ZXfnmLn+b255awoMvrmZHXQPd92jPRw7aiy/s14Mh+3Tl\nwL33pE/3jnRs1zaW+MyMHfUNvFtbz/a6+lhicK6SeaJPV0VNK19ZtZlrHpjH029spEuHtny2Zj9O\nH9GfYQN60LaNcp+gTCTRsV3b2P7QOFfpPNGnmzQpeiXYpnd38pO/v8YdTy+jR+cOXH3KUM4cOYCu\nndrHHZpzrgUktmdsTU2NFd1hKqE/E4CXV27i4tvnsGbzdj7/4f35rxMPpnvnyk/wkuaYWU3ccTjX\nGnnzyiry59nL+cwN/8bM+MslxzLp1MMSkeTzIWm0pPmSFkqamGG/JP0y7H9R0ohcZSX1kjRd0oLw\n3rNc1+NcITzRVwEz46d/m8837n6Rmv178sBXj2PYfj3iDqtswmTrvwFOBoYC50oamnbYycCQ8BoP\n3JBH2YnATDMbAswM6861Op7o0xVT3dPK/Xz66/z6nws550P7cduXjmKvPTvGHVK5HQUsNLPFZrYD\nuAsYl3bMOOA2i8wCekjqm6PsOGBKWJ4CnNbSF+JcMTzRJ9wvZrzOL/8RJfkfnn447dpW5a+8P7A8\nZX1F2JbPMU2V7WNmq8PyGqBPqQJ2rpQS9b9e0nhJsyXNXrduXXEnqUnO87zbnlrCL2Ys4KyRA/jh\n6YfTphU1mWwBvRt/9+FV1klJLGrV0Oyn+JL2l3RiWN5DUtdmB+eqXqKaV5rZZGAyRK1uYg4nVk8v\n3sB3H3iFEz+wD9eecUTSkzzA+iZa3awE9ktZHxC25XNM+ybKvimpr5mtDtU8a4sNHkDSRUTPB3oB\nB4bPuhE4oTnndS5Rd/QusurtbVx6x3MM3Ksz//fZ4a2q81NMngWGSBosqQNwDjAt7ZhpwPmh9c2H\ngU2hWqapstOAC8LyBcD9zYzzUuAjwGYAM1sA7NPMczqXrDv6krj66rgjaJbtO+u55A9z2L6zgbvG\n19DNO0FhZnWSvgL8DWgL3Gpm8yRNCPtvBB4CxgALgXeBLzZVNpz6WmCqpAuBpcDZzQy11sx2NI7/\nI6kdJagOcs47TCXMtQ+/xo2PLeKmz4/kpMP2jTucsklChylJPwbeBs4Hvgr8J/CKmV0Va2Cu4nnV\nTboi54ttDZ5f9haTH1/EZ2v2q6oknyATgXXAS8DFRN8yvh1rRC4RvOom3erVuY9phbbvrOfrf36B\nfbt14qqxH4g7HFecPYiqhm6G9zpr7UFUleRc0fyOPiF+Pv11Fq3byrVnHOH18pVrJlFib7QHMCOm\nWFyCeKJPN2JE7mNamXmrNnHzE4s596j9OP7gveMOxxWvk5m907gSljvHGI9LCE/06ebMiTuCgpgZ\n1zzwCj06d2DiaK+yqXBb0wZTGwlsizEelxCe6NONL2uHymZ7+OU1PPPGRq4YlYzhhqvc5cCfJT0h\n6UngT8BXYo7JJYA3r0xXQePRb99Zzwk/e4yundrx1699tKo7RiWheSWApPbAIWF1vpntjDMelwze\n6qaC3fLEYla+vY07Ljq6qpN8wnwIGET0f3OEJMzstnhDcpXOE32FWv9OLdc/uoiTDuvDsQf2jjsc\nVwKSbica42Yu0DgLugGe6F2zeKJPtzJ9rKvW6abHFrF9Zz1Xjj407lBc6dQAQy2p9akuNv4wNl0F\ntLpZu3k7tz21lNOO7M+Be+8ZdziudF4GvEuzKzm/o0936qmt/mHs9Y8uoq7BuOyEIXGH4kqrN/CK\npGeA2saNZnZqfCG5JPBEX2FWb9rGHU8v48wRA9h/ry5xh+NKa1LcAbhk8qqbCvObfy7EML56wkFx\nh5IYknpJmi5pQXjvmeW40ZLmS1ooaWLK9p9Iek3Si5LuldQjbB8kaZukueF1Y1NxmNljwBKgfVh+\nFniuZBfqqpYn+nQ33RR3BFmt3bydqc+u4Kya/RjQ03vGl9BEYKaZDSEab2Zi+gFhgLHfACcDQ4Fz\nJQ0Nu6cDHzSzI4DXgW+lFF1kZsPDa0JTQYQZpu4GGv8R9gfuK/6ynIt4ok/XinvG3vqvJdQ1NHDx\n8QfEHUrSjAOmhOUpwGkZjjkKWGhmi81sB3BXKIeZ/d3M6sJxs4imACyGzzDlWoQn+nRqnR2PNm/f\nyR9nLeXkw/t63Xzp9QnTBgKsAfpkOKY/sDxlfUXYlu5LwMMp64NDtc1jkj6aI47a8EcE8BmmXOkk\n6mGspPFEkyszcODAmKMprTufXsaW2jou+diBcYfSWvWWlDrmxeQwWTwAkmaQueniLrM3mZlJKiq5\nSroKqAP+GDatBgaa2YYwQNl9kg4zs81ZTvGYpP8B9pA0imiGqQeKicW5VIlK9OE/9mSIxrqJOZyS\nqa2r57dPvsFxB/Xmg/27xx1Oa7W+qbFuzOzEbPskvSmpr5mtltQXWJvhsJXAfinrA8K2xnN8ARgL\nnNDY4cnMagnNJM1sjqRFwMFAtkGYJgIXsusMU7dki9u5fHnVTbqxY+OOYDf3Pb+StVtqufhjXjff\nQqYBF4TlC4D7MxzzLDBE0mBJHYBzQjkkjQauBE41s/dmg5K0d3iIi6QDgCHA4mxBmFmDmd1sZmeZ\n2ZlhOTE3LC4+ibqjL4kHWtc3ZTPjlife4LB+3TjuIB/TpoVcC0yVdCGwFDgbQFI/4BYzG2NmdZK+\nAvwNaEs05d+8UP7XQEdguqJnPLNCC5vjge9K2gk0ABPMbGP6h0t6iSbq4kNrHueK5ok+3SmntKpk\n/6+FG1iw9h1+dtYw1EofFFc6M9sAnJBh+ypgTMr6Q0TVKenHZezUYGb3APfkEULj18hLw/vt4f08\n/GGsKwFP9OkefDDuCHbxu3+9Qe89OzB2WN+4Q3EtxMyWAkgaZWZHpuz6pqTnyNCu37lCeB19K7Zk\n/Vb+MX8tnzt6fzq2axt3OK7lSdJHUlaOxf+PuhLwO/pW7LanltKujTjv6GQ1FXVZXQjcKqk7IOAt\nonb5zjWLJ/p0raSRwzu1dfx59nI+fXhf9unWKe5wXBmY2RxgWEj0mNmmmENyCeGJPt3kya1iGIR7\n5qxgS20dX/jI4LhDcWUiqSNwBmEqwcaH72b23RjDcgng9X/pLr447ggwM26ftZRh+/Vg+H494g7H\nlc/9ROPn1AFbU17ONYvf0bdCsxZvZOHad/jJmd58usoMMLPRcQfhksfv6FuhPz69lO57tOeUYf3i\nDsWV178lHR53EC55/I4+3bRpsX78ui21/G3eGs4/ZhCd2nuTyipzHPAFSW8QjZEjonHW/KudaxZP\n9OlGjoz146fOXs7OeuNz3qSyGp0cdwAumbzqJl3/TEOMl0d9g3HH08s49sC9OHDvPWOLw8Uj9JDd\nD/hkWH4X/z/qSsD/EbUij85fy8q3t3Heh/ePOxQXA0lXA9/k/akI2wN/iC8ilxSe6FuRO59Zxt5d\nOzJqaKYJjlwVOB04ldCkMgyq1jXWiFwieKJPd9FFsXzs6k3b+Mdrazm7ZgDt2/qvpZwk9ZI0XdKC\n8N4zy3GjJc2XtFDSxJTtkyStDFMGzpU0JmXft8Lx8yWdlCOUHWH8eQtlfc5IVxKeUdJNnpz7mBYw\n9dkVNBh8tsYfwsZgIjDTzIYAM8kwWmSYQOQ3RA9MhwLnShqacsjPzWx4eD0UygwlmqDkMGA0cH3j\nRCRZTJV0E9BD0kXADODm5l+eq3ae6NPF0OqmvsGYOns5Hx3Sm4F7dS775zvGAVPC8hTgtAzHHAUs\nNLPFYQLvu0K5XOe9y8xqzewNYGE4T0Zm9lPgbqIx7A8GvmNmvyroSpzLwBN9uueeK/tHPr5gHSvf\n3sa5R/ndfEz6mNnqsLwGyPSQpD+wPGV9RdjW6KuSXpR0a0rVT64ymbwEPAE8Hpada7ZEJXpJ4yXN\nljR73bp1cYeTtzufXkbvPTtw4gf8IWwz9G783YfXLiPTSZoh6eUMr13uylPryAtwA3AAMBxYDfys\nmAuQ9GXgGeAzwJnALEk+TLFrtkR1mDKzycBkgJqamuLGG+5b3pmc3ty8nZmvreXLHx1Mh3aJ+rtb\nbuvNrCbbTjM7Mds+SW9K6mtmqyX1BdZmOGwlURv3RgPCNszszZRz3Qw8mKtMFt8AjgxTGyJpL+Df\nwK1NlHEuJ88s6VatKuvH3T1nBfUNxjkf8mqbGE0DLgjLFxCNIpnuWWCIpMGSOhA9ZJ0GEP44NDod\neDnlvOdI6ihpMDCE6I49mw3AlpT1LWGbc83iiT7dpEll+6iGBuOuZ5dxzAF7Mbi3t6SL0bXAKEkL\ngBPDOpL6SXoIwMzqgK8AfwNeBaaa2bxQ/seSXpL0IvAJ4L9CmXnAVOAV4BHgUjOrbyKOhcDTobnm\n1cAs4HVJV0i6orSX7KqJrJXMqFRqNTU1Nnv27MILSmWbZerJBes577dPc905wxk3PL6hF5JA0pym\nqm4qQUjuWZnZNeWKxSVLouroK82dzy6jR+f2nHTYvnGH4lqBxkQuqbOZvRt3PC45vOomJhveqeXv\n89Zw+pH9fThiB4CkYyS9ArwW1odJuj7msFwCeKJPV0x1TxHufX4lO+vN2867VL8ATiI8gDWzF4Dj\nY43IJYIn+hiYGXc+s4wRA3twcB8fs8q9z8yWp21q6uGtc3nxRJ+upuWf581e+haL1m31JpUu3XJJ\nxwImqb2krxO18HGuWTzRx+DOZ5axZ8d2jB1W3s5ZrtWbAFxKNEzCSqKetpfGGpFLBG91U2ab3t3J\nX19czVk1A+jcwX/87n1mth74j7jjcMnjmSbd1U02ZW62e59fQW1dg1fbuPdI+hVNjK9jZl8rYzgu\ngbzqJl0L9ow1M+56djlHDOjOB/t3b7HPcRVnNjAH6ASMABaE13CgQ4xxuYTwO/p0/fq12Hg3zy9/\nm9fWbOF/P3N4i5zfVSYzmwIg6RLguDDcApJuJBqy2Llm8Tv6dKtX5z6mSHc+vYzOHdpyyrB+LfYZ\nrqL1BLqlrO8ZtjnXLH5HXyabt+/kwRdXc9qR/dizo//YXUbXAs9L+icgos5Sk2KNyCWCZ5x0I0a0\nyGnve34l23bWe09Yl5WZ/U7Sw8DRYdM3zWxNnDG5ZPCqm3Rz5pT8lGbGH2Yt5YgB3TliQI+Sn981\nj6RekqZLWhDeM1aXSBotab6khZImpmz/k6S54bVE0tywfZCkbSn7bswVi5mtMbP7w8uTvCsJT/Tp\nxo/PfUyBnl3yFq+/+Q7nHb1/yc/tSmIiMNPMhgAzw/ouJLUFfgOcDAwFzpU0FMDMPmtmw81sONHE\n3n9JKbqocZ+ZTWjpC3EuE0/06W6+ueSn/OPTS+nayXvCtmLjgClheQpwWoZjjgIWmtliM9sB3BXK\nvUeSgLOBO1swVucK5nX0LWzDO7U8/NIaPnf0QO8J23r1MbPG5lZrgEyztPcHUgccW8H7demNPgq8\naWYLUrYNDlU5m4Bvm9luzSUl9WoqODPbmCN+55qUqMwjaTwwHmDgwNbx0PPPc1awo76B/zi6dcST\nYL0lpY4xPTlMFg+ApBlAphlerkpdMTOTVOwUY+ey6938amCgmW2QNBK4T9JhZrY5rdwcop6xynBO\nAw4oMh7ngIQl+vAfezJEUwkWdZKVK0sWT32DccfTyzh6cC+G+HDELW19U1MJmtmJ2fZJelNSXzNb\nHSb6XpvhsJXAfinrA8K2xnO0Az4DjEz5zFqgNizPkbQIOJioJ2xqbIObujDnmsvr6NOVsNXNo/PX\nsmzju5z3YX8I28pNAy4IyxcA92c45llgiKTBkjoA54RyjU4EXjOzFY0bJO0dHuIi6QBgCLC4qUAk\n9ZR0lKTjG19FX5VzQaLu6Evi1FNLNjn47/+9hH27dWL0B31O2FbuWmCqpAuBpUQPVJHUD7jFzMaY\nWZ2krwB/A9oCt5rZvJRznMPuD2GPB74raSfQAExoqr5d0peBy4i+LcwFPgw8BXyyBNfoqpgn+hay\n4M0tPLFgPd846RDat/UvTq2ZmW0ATsiwfRUwJmX9IeChLOf4QoZt9xA1t8zXZcCHgFlm9glJhwI/\nLKC8cxl5BmohU55aQod2bbwnrCvEdjPbDiCpo5m9BhwSc0wuAfyOPt1NNzX7FJu27eSeOSs5bXg/\nenXxUWZd3lZI6gHcB0yX9BZRVZJzzeKJPl0JesZOfXY523bWc8Gxg5ofj6saZnZ6WJwUBjbrDjwS\nY0guITzRp5Oa9TC2rr6BKU8t4ajBvTisn08u4nKT1M3MNqd1nHopvO8JeIcp1yye6Evsry+tZsVb\n27j6lMPiDsVVjjuAsezacSr13TtMuWbxRF9CZsaNjy3moH325IRD94k7HFchzGxsePeOU65FeKub\ndGPHFl30iQXreXX1ZsYffwBt2mTqze5cdpJm5rPNuUL5HX26Bx4ouuiNjy2iT7eOnDa8fwkDckkn\nqRPQmWi8np68P+ZNN6LB1JxrFr+jT3fKKUUVe3HF2/x70QYuPG4wHdr5j9UV5GKi+vlDw3vj637g\n1zHG5RLC7+jTPfhgUcVueHQRXTu18w5SrmBmdp2kXwP/Y2bfizselzx+61kC81Zt4uGX1/DFYwfR\ntVP7uMNxFcjM6olGv3Su5DzRl8DPpy+gW6d2XPhRbwXnmmWmpDPCTFXOlYwn+nQFdpZ6YfnbzHj1\nTcYffwDd9/C7edcsFwN/BmolbZa0RVL6JCXOFcwTfbrJk3Mfk+Jn01+nZ+f2fOEj3gS6UknqJWm6\npAXhvWeW426VtFbSy/mWl/QtSQslzZd0UlNxmFlXM2tjZh3MrFtY71aaq3TVzBN9uosvzvvQ2Us2\n8vjr65jwsQPZs6M/165gE4GZZjYEmBnWM/k9MDrf8pKGEo1Tf1god33jRCTZ+MQjriV4oi+SmfG/\nD79G7z07cv4xg+IOxzXPOGBKWJ4CnJbpIDN7nMzjzmQrPw64y8xqzewNYCFwVLYgwsQjjxNNbnJN\neJ9UyIU4l4kn+iLdN3clc5a+xZWjD2GPDk3epLnWr4+ZrQ7La4A+JSrfH1iectwKmu4A1TjxyFIz\n+wRwJPB2gbE4t5tE1TdIGg+MBxg4sMj27NOm5Tzkndo6/veh1xi2Xw/OHDGguM9xpdZbUuqk25PD\nZPEASJoBZJrT8arUFTMzSUUPX9rM8tvNbLuk9yYekeQTj7hmS1SiD/+xJwPU1NQU959t5Mich/zq\nHwtYu6WWyefX+Jg2rcd6M6vJttPMTsy2T9Kbkvqa2WpJfYG1BX52tvIrgf1SjhsQtmXjE4+4FuFV\nN+n6Nz20yOJ173Drk29w1sgBDN+vR5mCci1sGnBBWL6AaOiBUpSfBpwjqaOkwcAQ4JlsJzGz083s\nbTObBPw/4LdkeV7gXCE80RegvsG48u4X6dS+LVeOPjTucFzpXAuMkrQAODGsI6mfpPcmA5d0J/AU\ncIikFZIubKq8mc0DpgKvEM0UdWnoAbsLSZ0kXS7p15IultTOzB4zs2lmtqPFrtpVjURV3bS0Gx9b\nxOylb/GLzw5n764d4w7HlYiZbQBOyLB9FTAmZf3cQsqHfT8AfpAjhCnATuAJ4GRgKNGDWedKwhN9\nuosuyrj5xRVv8/PprzP2iL6MG96vzEG5hBtqZocDSPotTVTvFELSBGCYmV0S1r8P7G9mny/F+V3l\n8KqbdBl6xm7bUc/lf5rL3l078oPTDseHInEltrNxwczqSnje24CxknpIGgt8mtAqzVUXv6NPN3Ik\nzJnz3mp9g3HF1LksXreVP375aLp39vFsXMkNSxnTRsAeYV1ELTaLGgbBzN4NzxV+QFQlNMrMtpUk\nYldRPNGne+659xbNjO89+AoPv7yGb3/6A3zkoN4xBuaSysxassfdrcCrwDgzW9SCn+NaMa+6acLN\nTyzm9/9ewoXHDebLPgSxq0zfAdaRclMn6QBJv5V0d3xhuXLyRJ+ub1/MjBseXcQPH3qNTx/Rl6vG\nfCDuqJwrmKT/BjoBZ5PSisfMFpvZhVkLusTxqps025cu55t/msv9c1cx9oi+/PSsYd771VUcSZ8E\nvggcY2ZbJHWTNNzM5sYdmys/v6NP8fyyt/jLqRdx/9xVfP1TB/Orc4+kU3sfsMxVFkkDgVuAs8xs\nS9h8HXB5fFG5OFX9HX1Dg/HSyk386h8LmPHqWpY88jv2+ukPOemwTONfOdf6mdky4IC0bb8nGk8f\nSXsRtcQ5UtK3zOx/yx2jK6+qSvS3PbWElW9tIxodEBa8+Q6zl27k7Xd30rVTO77+qYPhR3iSd4kW\nevJOiDsOVz5Vlej/Nm8Nc5a+RUMDNJgxoOcefGpoHz40qBefGrqvt5F3ziVSVSX6P375w7kPmj07\n9zHOOVdB/GGsqwqSRocJuhdK2m1OWEV+Gfa/KGlEAWVz7T9U0lOSaiV9PW3fEkkvSZqbNnFKvuce\nF+KdK2m2pONKFXfKcR+SVCfpzFLFHY75eCg/T9JjpYpb0jfCeedKellSvaRe+cSdWGaWyNfIkSOt\nKFGXc1dhgNmW5d8C0BZYRPSAsgPwAtFAYqnHjAEeJhp24MPA0/mUzfPc+xBNEfgD4Otp+5YAvZsR\n956AwvIRwGulijvluH8ADwFnljDuHkTDNw9s/BmVMu6U408B/pFP3El++R29qwZHAQst6ii0A7iL\naOLuVOOA28LfjVlAjzBbVK6yOc9tZmvN7FlSBi8rVdxm9o6FDAZ0ASzPsvn8TAC+CtxDYbNu5XPu\nzwF/saiFEGa2Ns+y+cbd6FzgzgJiTyRP9K4a5DNJd7ZjcpUtdALwdAbMkDRH0ZzHhcaNpNMlvQb8\nFfhSnmVznltSf+B04IYWiPtgoKekR8M5zi9V3CnxdwZGE/2hyifuxErsw9g5c+asl1TcfJs+DHEl\n2j/uAIp0nJmtlLQP0Tyxr5nZ44WcwMzuBe6VdDzwPaJZrkrhF8A3zawhw9DczY27HTCSaMKWPYCn\nJM0qSdQjkyxZAAAfAUlEQVTvOwX4l5ltTNnW7J93JUpsojezveOOwbUa+UzSne2Y9jnKFjoB+C7M\nbGV4XyvpXqKqicbEU9C5zezxMGBZ7zzK5nPuGuCukOR7A2Mk1ZnZfSWIewWwwcy2AlslPQ4MC9tL\n9fM+h7RqmxxxJ1fcDwn85a+WfhHd0CwGBvP+A7zD0o75NLs+jH0mn7L5nDvl2EmkPIwlqlPvmrL8\nb2B0gXEfxPsPY0cQJT2VMu5w/O8JD2NLFPcHgJnh2M7Ay8AHSxU30B3YCHTJ9+ed5Fdi7+ida2Rm\ndZK+AvyNqNXGrWY2T9FUe5jZjUStSsYAC4F3iQYEy1q2kHNL2heYDXQDGiRdTjQvbG+iKheIEtgd\nZvZIgXGfAZwvaSewDfisRZms2XE38SPt09y4zexVSY8ALwINwC1m9jJAieI+Hfi7Rd8Y8oo7yRrv\nBJxzziWUt7pxzrmE80TvnHMJ54neOecSzhO9c84lnCd651K0ZG/JSjx3Jcbc0ueuRJ7ondtVSyaI\nSjx3Jcbc0ueuOJ7onXMu4RLbjr5XrzbWf0Dz+4NtaujU5P7Nddn3b9+5+4xVtjPz39Y2OzKfo20T\n4x22qW1oMrZGqi100MTKs7lu3XorYNiL3r1726BBg3bbvm7dOvbeO4/TrFoF/foVEmL+5y5CS527\nEmPOdO45c+YU9O8jaRLbM7b/gHb85aHezT7PQ+8MbXL/P9YfmnXfq2v67LatbmWXjMd2Xpl5ILU9\nV2ZP5l3f2NZkbI3aLcp76JWK9cjaGwsawG7QoEHMbs5sYlKU7F1FKHqAw4TwqhvninHRRXFH4Fze\nPNE7V4zJk+OOwLm8eaJ3rhgjR8YdgXN580TvXDGeey7uCJzLmyd655xLOE/0VaauIflNLcuib9+4\nI3Aub4ltXul2N3fTdNbULmLfjgcyvPuouMOpbN600lUQv6OvEnUNO1lTuwiANbWL/M6+uSZNijsC\n5/Lmib5KtGvTnn07HgjAvh0PpF2b3XvtugJcc03cETiXN0/0VWR491Gc2PtCr7ZxLo2k0ZLmS1oo\naWKG/ZL0y7D/RUkjcpWV1EvSdEkLwnvPcl1POk/0FaZ+Z22zyvudvHO7ktQW+A1wMtGk7edKSh/7\n5GRgSHiNB27Io+xEYKaZDQFmhvVYeKKvIAuevJ3Zf76KBU/eHncorjnj5LjW5ihgoZktNrMdwF3A\nuLRjxgG3WWQW0ENS3xxlxwFTwvIU4LSWvpBsPNFXiPqdtWxc9gIAG5e90Ow7+5bWGh/2Shovabak\n2evWrYs7HFdevRt/9+GVOl59f2B5yvqKsI08jmmqbB8zWx2W1wC7j3JYJt68skK0bd+RXgOHsXHZ\nC/QaOIy27TsC+Y1eWW6ttRmnmU0GJgPU1NQ0b3zumhpI6BDfCbXezGri+nAzM0nN/gcjaX9giJnN\nkLQH0M7MtuQq54m+ggw57vPU7zw7JPnWafdmnB/35wKutVsJ7JeyPiBsy+eY9k2UfVNSXzNbHap5\n1jYnSEkXET0f6AUcGD7rRuCEXGW96qbCtOYkD96M01WkZ4EhkgZL6gCcA0xLO2YacH5offNhYFOo\nlmmq7DTggrB8AXB/M+O8FPgIsBnAzBYA++RT0O/oXckN7z4q+XfyV18ddwSuRMysTtJXgL8BbYFb\nzWyepAlh/43AQ8AYYCHwLvDFpsqGU18LTJV0IbAUOLuZodaa2Q4pmqRIUjsgr+qgqkj0W7c20KWL\nf3kpp0QnefCesQljZg8RJfPUbTemLBvRHXVeZcP2DeRRrVKAxyT9D7CHpFHAfwIP5FOwrNkvV6eE\ncMzHJc2VNE/SY4WUzeSyS97iyEPf5LJL3irFJTgXKXC+WOdKYCKwDngJuJjoj8u38ylYtkSfT6cE\nST2A64FTzeww4Kx8y2aydWsDDz+4HYCHH9zO1q35TabtXE6rV+c+xrnS2oOoaugsMzsTuDVsy6mc\nd/T5dEr4HPAXM1sGYGZrCyi7my5d2nDy2E4AnDy2k1ffOOcq2Ux2Tex7ADPyKVjOzJdPp4SDgZ6S\nHpU0R9L5BZTdpUPMxo3R3ft1N/Tk+df6cN0NsQ0z4ZJoxIjcxzhXWp3M7J3GlbDcOZ+Cre1hbDtg\nJNEDjD2ApyTNyrdwaoeYw4/o8N7TaL+TdyU3Z07cEbjqs1XSCDN7DkDSSPLsNVnORJ9Pp4QVwAYz\n20p0UY8Dw8L2XGWdK5/x42Hy5LijcNXlcuDPklYBAvYFPptPwXLe6ubTKeF+4DhJ7SR1Bo4GXs2z\nrHPlc/PNcUfgqoyZPQscClwCTAA+YGZ5fbUs2x19Pp0SzOxVSY8ALwINwC1m9jJAE50SnHOuWnwI\nGESUu0dIwsxuy1WorHX0uTolhPWfAD/Jp6xzzlULSbcTjXEzF6gPmw1oXYneucRY6Y+IXNnVAEND\nL92CeHMU54rhrW5c+b1M9AC2YH5H71wxTj3Vx6N35dYbeEXSM8B7Mw+Z2am5Cnqid865yjCp2IJe\ndVMlWuPUfs5VAkm9JE2XtCC8Z+xmn23gRUk/kfSapBcl3RvG9ELSIEnbwiCOcyXdmOm8jczsMWAJ\n0D4sPws8l881eKKvAnM3TWfG+t8yd9P0uENJjptuijsCVz4TgZlmNoRovJndRs/NMfDidOCDZnYE\n8DrwrZSii8xseHhNaCqIMMPU3UDjP77+wH35XIAn+oSrq69Nm9rP7+xLYvz43Me4pBgHTAnLU4DT\nMhyTdeBFM/u7mdWF42YR9ewvRtEzTHmiT7h2bTv61H5B6qB369ata+7JShOUK5fejb/78CrkL3Wf\nMG0gwBqgT4Zj8hp4EfgS8HDK+uBQbfOYpI/miKM2/BEBfIYpl6YqpvbLQ+qgdzU1Nd5kprqsN7Oa\nbDslzSBz08WrUlfMzCQV9W9H0lVAHfDHsGk1MNDMNoQByu6TdJiZbc5yiqJnmPJEXyWqPck71xQz\nOzHbPklvSuprZqsl9QXWZjisyUEbJX0BGAuc0NjhycxqCc0kzWyOpEVEQ7XPzhLKROBCdp1h6pZ8\nrs8TvXPFGDs27ghc+UwDLiCa7PsCosEX07038CJRgj+HaCIlJI0GrgQ+ZmbvNhaQtDew0czqJR0A\nDAEWZwvCzBqAm8OrIJ7onSvGA3l9Y3bJcC0wVdKFwFLgbABJ/YgGXhyTbdDGUP7XQEdguqJnO7NC\nC5vjge9K2kk0iOMEM9uY/uGSXqKJuvjQmqdJnuidK8Ypp3iyrxJmtoFoMqT07auAMSnrGQdeNLOD\nspz3HuCePEJo/Pp4aXi/Pbyfhz+MTZ76nbW0bd8x7jASa+mGrXkfu/+DD+Y8PmkjJFTC5ezRvi37\ndu8UdxglZWZLASSNMrMjU3Z9U9JzZGjXn84TfYVY8OTtbFz2Ar0GDmPIcZ+PO5xE+vhPH807OS8B\nPvaTR1swGleMjx28N1O+dFTcYbQUSfqImf0rrBxLnk3kPdFXgPqdtWxc9gIAG5e9QP3Os/3OvgX8\n7Kxh+R/8I/i/s3Mfn7Tm9qJ1X9A+XRP9/+JC4FZJ3YmmEnyLqF1+TmVN9OHp83VEDytuMbNrsxz3\nIeAp4BwzuztsWwJsIRpwv66pNrFJ07Z9R3oNHPbeHb0n+ZbxmREFdFg04zMtF4pzuwnTBg4LiR4z\n25Rv2bIl+pSxIEYR9Rp7VtI0M3slw3E/Av6e4TSfMLP1LR5sKzTkuM/7nXxrMnmyD4PgykpSR+AM\nwlSCoQUPZvbdXGXLOQRC1rEg0nyV6El0pk4JVc2TfCty8cVxR+Cqz/1EObMO2JryyqmcVTeZxoI4\nOvUASf2B04FPEE2Cm8qAGZLqgZtCd3bSyo8HxgP069+2dJE751z8BpjZ6GIKtrZBzX4BfDP0AEt3\nnJkNJxoG9FJJx6cfYGaTzazGzGp69Wptl+acc83yb0mHF1OwnHf0TY4FEdQAd4W6p97AGEl1Znaf\nma0EMLO1ku4lqgp6vOXDdi6DadPijsBVn+OAL0h6g2iMHBGNs9aqesZmHQuikZkNblyW9HvgQTO7\nT1IXoI2ZbQnLnwJyPoBwrsWMHBl3BK76nFxswbLVb4SB9xvHgngVmGpm8yRNkNTkzCpE4z8/KekF\n4Bngr2b2SMtG7FwT+mcaaty5lhN6yO4HfDIsv0tr7DCVaSwIM8s4T6KZfSFleTFQQG8W55xLFklX\nE1VvHwL8DmgP/IFo1qkm+RNL59MLOlcZTgdOJTSpDIOqdc2noCf6KucThxfpoovijsCViaRekqZL\nWhDee2Y5brSk+ZIWSpqYsn2SpJVhysC5ksak7PtWOH6+pJNyhLIjTFpioWyXfK/BE30Vq2vY2eIT\nhyf228Lk3bpxuOSaCMw0syHATDKMFpnS8/9kYChwrqShKYf83MyGh9dDocxQokYphwGjgevDebKZ\nKukmoIeki4AZ5DkJiSf6KtauTfsWnTg80d8WvNVNNRkHTAnLU4DTMhyTb8//9PPeZWa1ZvYGsDCc\nJyMz+ylwN9HIAQcD3zGzX+VzAc1O9JK+2dxzuPgM7z6KE3tfyPDuo0p63nJ8WyiUpPGSZkuavW7d\nuuad7LnnShOUK5fejb/78CpkoKI+ZrY6LK8hagWYLlPP/9SmWV+V9KKkW1OqfnKVyeQl4AmiPkQv\n5Rl/4a1uJE1NXQWGEw1C5ipUS0wc3vhtYU3tohb5tlCMMGzGZICamppKmEfDlc76pka8lTQD2DfD\nrqtSV8zMJBX6b+cG4HtEdevfA35GnsMLp8X4ZeA7wD+Icu+vJH3XzG7NVbaY5pWbzezLKR9+QxHn\ncFVgePdR1DV8vFUk+ZLr2zfuCFwJmdmJ2fZJelNSXzNbLakvmQdczNrz38zeTDnXzcCDucpk8Q3g\nyDC1IZL2Av4N5Ez0xVTd/CBt/aqMRzlHy3xbaBVWrYo7Alc+04ALwvIFRKNIpnuv57+kDkQPWacB\nhD8OjU4HXk457zmSOoYRA4YQdQjNZgPRnByNtoRtOeVM9JKmhMABCA8NSFnfbdZy5xJv0qS4I3Dl\ncy0wStIC4MSwjqR+kh6C7D3/Q/kfS3pJ0otEI/P+VygzD5gKvAI8AlxqZvVNxLEQeDo017wamAW8\nLukKSVc0dQH5VN0sB56SdIaZLWncKOkI4HIzK7iuybmKd801nuyrRKgqOSHD9lXAmJT13Xr+h+1Z\nJ3k2sx+wey1JNovCq1HjN4ucnaZyJnoz+7akWURjwV9G1O328nDy6/IM0DnnXDOY2TUAkjqb2buF\nlM33YezjRF8tHiB6EHG2mfkQwc45VyaSjgF+C+wJDJQ0DLjYzP4zV9l86uivJ2qv+Q7wAaKmPV+T\n1LlZUTtXyWbPjjsCV31+AZxEeABrZi8Au03AlEk+rW5eAA41s4lmNt/MPgc8BcySdHCRATvnnCuQ\nmS1P29TUw9v35FNHf1OGbT+T9DzRg4eD8orQuSSpqQHzPleurJZLOhYwSe2By4ha+ORU9BAIZvYP\noqZCzjnnWt4E4FKiYRJWEo1KcGk+BZs11k2GrxFNyjaMZ8r+cWE8iLlhPIrj8i3rnHNJZmbrzew/\nzKyPme1jZuc19pLNpWwzTKUM4zmKaPCeZyVNM7NXUg6bCUwL40kcQdSZ4NA8yzpXPldfHXcErkpI\n+hVhDPpMzOxruc5RzmGKcw7jaWbvhIH1Abrw/sUVMwSocy3HO0u58pkNzAE6ASOABeE1HOjQRLn3\nlHPO2ExDch6dfpCk04H/BfYBPl1g2fHAeIB+/Zsav9+5ZurXz8e7cWVhZlMAJF0CHBeGW0DSjURD\nFufU6iYeMbN7zexQosH9v1dg2clmVmNmNb16tbpLcyXSGsa2Z/Xq3Mc4V1o9gW4p63uGbTmV846+\noCE5zexxSQdI6l1oWZdcczdNf2+M+1JPluJcK3ct8LykfxKNR388MCmfguW87c06jGcjSQdJUlge\nAXQk6gWWs6xLvlY1a9WIEfF9tqtKZvY7oirre4G/AMc0VuvkUrY7ejOrk9Q4jGdb4FYzmydpQth/\nI3AGcL6kncA24LPh4WzGsuWK3bUOrWrWqjlz4vtsV1aSegF/AgYBS4jG+norw3GjiQZ6bAvcYmaN\nwxn/CTgkHNYDeNvMhksaRNThaX7YN8vMJjQVi5mtIfN4+E0qZ9VNxmE8Q4JvXP4RWaYlzDYEqKsu\nrWbWqvHjYfLkeGNw5TIRmGlm14Y+PBOBXebKbqoJuJl9NuW4nwGbUoouMrPhLX0B/sTSVZzYkzzA\nzTfHHYErn3FAYxXJFKKGIulyNgEP1dJnA3e2YKwZlfWO3rk4pTa/HThwYMzRuDLrLSl1yNHJYbL4\nfPQxs8ZmVmuAPhmOyacJ+EeBN81sQcq2wZLmEt3lf9vMdmsuGaqOsspnlj9P9K5qhP/YkwFqamp8\nRLLqst7MarLtlDQD2DfDrl3mxA699ov9t3Muu97NrwYGmtkGSSOB+yQdZmab08rNIeo8qgznNOCA\nXB/sid65Yqz01r1JYmYnZtsn6U1Jfc1sdZjoe22Gw5psAi6pHfAZYGTKZ9YCtWF5jqRFwMFEPWFT\nYxtc+BXtyuvonSuGt7qpJtOAC8LyBWRu9ZKrCfiJwGtmtqJxg6S9w0NcJB0ADAEWNxWIpJ6SjpJ0\nfOMrnwvwO3rninHqqT4effW4Fpgq6UJgKdEDVST1I2pGOSZb8/GUc5zD7g9hjwe+G5qTNwATmqpv\nl/RlojHoBwBzgQ8TTQL1yVwX4IneOeeaEIYCPiHD9lXAmJT1rE3AzewLGbbdA9xTQCiXAR8iam//\nCUmHAj/Mp6BX3TjnXGXYbmbbASR1NLPXeL8jVpP8jt65Yty02wybzrW0FZJ6APcB0yW9RVSVlJMn\neueKMX583BG4KmNmp4fFSWFgs+7AI/mU9UTvXDEkfxjrykJSNzPbnNZx6qXwvifgHaacc67C3QGM\nZdeOU6nv3mHKOecqmZmNDe9Fd5zyVjfOFWPs2LgjcFVG0sx8tmXid/TOFeOBB+KOwFUJSZ2AzkQD\ns/Xk/TFvuhENppaT39E7V4xTTok7Alc9Liaqnz80vDe+7gd+nc8JyproJY2WNF/SwjCAf/r+QyU9\nJalW0tfT9i2R9JKkuWnDjTpXfg8+GHcErkqY2XXAQcD3zewAMxscXsPMrHUl+pQZWE4GhgLnShqa\ndthG4GvAT7Oc5hNmNryp4Uadcy5pzKyeaPTLopTzjj7nDCxmttbMngVinPXZOedapZmSzggzVRWk\nnIk+0wwseT1ICAyYIWlOmCloN5LGS5otafbGjQ3NCNW5HLyzlCu/i4E/A7WSNkvaIil9kpKMKulh\n7HFhEt2TgUszjcNsZpPNrMbManr1qqRLcxXHJwavGpJ6SZouaUF475nluFslrZX0cr7lJX0rPLOc\nL+mkpuIws65m1sbMOphZt7DeLZ9rKGc2bHIGllzMbGV4XwvcS1QV5Fw8Lr447ghc+UwEZprZEGBm\nWM/k98DofMuHZ5TnAIeFctc3TkSSTbETj5Qz0eeagSUrSV0kdW1cBj4FvNx0KeecK4lxwJSwPAU4\nLdNBZvY4mcedyVZ+HHCXmdWa2RvAQpq4gQ0TjzxONLnJNeF9Uj4XULYOU9lmYJE0Iey/UdK+RPMl\ndgMaJF1O1EKnN3BveAbRDrjDzPIatc25RuHZzniAgQMHxhyNK7Peac2yJ4fJ4vPRx8xWh+U1QJ8C\nPztb+f7ArJTjcj23LHrikbL2jM00A4uZ3ZiyvIaoSifdZmBYy0bnki78x54MUFNT07ynqdPy+jLq\nWo/1TTXLljQD2DfDrqtSV8zMJBX9b6eZ5beb2XZJ7008IsknHnGuxYwcGXcEroTM7MRs+yS9Kamv\nma2W1BdYW+Dps5Uv9Lll0ROPeNMU54rRv5CWwa7CTQMuCMsXEA09UIry04BzJHWUNBgYAjyT7SRm\ndrqZvW1mk4D/B/yWLM8L0nmid865pl0LjJK0ADgxrCOpn6T3qqIl3Qk8BRwiaYWkC5sqb2bzgKnA\nK0QzRV0aesDuQlInSZdL+rWkiyW1M7PHzGxa6Hyak1fdOOdcE8xsA3BChu2rgDEp6+cWUj7s+wHw\ngxwhTCEaLeAJ3h9C5rJ8Ym/kid65Ylx0UdwRuOox1MwOB5D0W5qo3snGq26cK4b3jHXl897YX2ZW\nV8wJPNE7VwxvdePKZ1gY22azpC3AEYWOdVOdVTf1Rs/rt9L+mVp2HtWRty7tAm0KHhDOVbPnnos7\nAlclzKzJYRHyUZWJvuf1W+n94y3RyqPRQ+u3vrpnjBE551zLqcqqm/bP1Da57lxOffvGHYFzeavK\nRL/zqI5NrjuX06pVcUfgXN6qMtG/dWkX1l/ZlU0f78D6K7tGdfTOFWLSpLgjcC5vVVlHTxuFOnmv\nl3dFuuYaT/auYlTlHb1zzlUTT/TOOZdwnuidK8bs2bmPca6V8ETvnHMJ54neuWLUZJ2syLlWJ7GJ\nvr6heTPFOedcUiQ20b86r47LLnkr7jCccy52MkvmnW/KBLzPAw0t+FG9gfUteH7/jPzsb2Z753uw\npHXkOd+mS4SC/n0kTWITfblImt3U7PL+GeX9DOfc7hJbdeOccy7iid455xLOE33zlWNOOf8M51zR\nvI7eOecSzu/onXMu4TzRO+dcwnmiLwFJFT+zuCSffcW5hPI6+maQtD+wwszqW/AzjgLaA3Vm9nQL\nfcaJwMeBH5jZthb6jBa/DudcZn5HXyRJo4FfAvu24GecBEwDPg3cKekrkko6LZakk4EfAdNbMMm3\n+HU457LzRF8ESWOB7wM/NrOVafvaluD8ktQROBf4mpn9D/AZYBwwQVLn5n5G+JxDgHuB/zOzxyTt\nI2mQpA+W6PxluQ7nXNM80RdIUg/g28DrZvYvSb0lfV7SFZJ6mFl9c5O9RWqBV4EjJO1pZnOBy4Ex\nwBebfSGRLcCvgaMlfQS4k+jaZkq6pLknL+N1OOea4Im+cO8AE4F3Jf0f0R3xB4FjgBmSepewzv5F\nYC/gQEntzGwe8A3gCknDmntyM1sFXEd0TY8C95vZl4mqWL4v6cPNOX/KQ+oWvQ7nXNM80RfIzOqA\nfwO3AR8DHjCzb5rZWcBLwJUl/KyHiZLw14APhjviOcAjQLNa+jR+6zCz5cD1wClm9ktJMrPZRHf3\nRf3BamzBY+FJf0teh3MuN291kydJbVPv1CW1Ixr6dJGkNmbWIOkbRD/THxdx/sOIhvF91czWpu37\nEdAVqAWWA/8NfMTMlhT4GccBg83s9vRrCnfadWH5c8A3iZL/sgI/YxwwCviuma1t/NmU8jqcc4Xx\nRJ+DpIPN7PWwnJ7s1XjXKuk8orrnz5vZqwV+RmPLl8VETRDHm9nKtOT7CeAI4GDgN2b2SgHnbwN0\nBp4muoP+pZndGPalfkYHogelVwOfDVUshVzHx4CbgK+a2fQsxxR9Hc654niib0JoXTMVuM/MPhe2\npSf7tsBHgauAK8zspQI/4+NEg32dZ2bPSLqXKAHOSL0bTjn+vcRcxPVcSVQdMwx43sx+nuGYY4DV\nxdxlS7oCaGNmP5XUDzgM2AzMN7O3044t+jqcc4XxRJ9FqGe+B/gLcCzQzszOC/tS74K7ECXPPc2s\n4NmTJH0A2NfM/ilpX+A54BngTeApM/u9pA8B+5jZX1O/RRTxWVcAA4EHgC8Dq4FaM/tWqNbpZGYz\nijl3OP/XgA4h0f+baAanOqJvEV8kSvz9m3sdzrnC+MPYLMxsK/Al4A7g60AnSX8I+xqT/PBwTEMx\nST6c61Uz+2dYvRC43sxOA54CxkjaDxhM9AeAZibH+4E1ZjYTmA1cAnQP+/YFCqqqyeCfwEWS7gJu\nNrNziaqBtgInEVXXlOI6nHMF8Dv6PEnai6iKZZuZnSfpCGAI8ET6w9MSfubDRNVBBdX5N3G+fsAP\niFoNXQncDhwFTDWz20r0GacQ9Ri+3cy+E7bdAjxsZveU4jOcc4VpF3cAlcLMNki6GPiJpPlE34aO\nL1WST6/KkHQGsA/wVinOD1G7eUnLgf8HXGpmD4SHowtL9RnAw0R38ZMkNU6+PRy4toSf4ZwrgN/R\nF0jSfxE1PRxV6IPXPM/fETgPuIKo5cvLJT7/fkT1/XPC+m4PfEv0OSOAM4GOwO9b4mflnMuPJ/oC\nSOpJ1Arnv83sxRb6jPZE7dAXmdn8lviM8Dn+MNS5KuGJvkCSOpnZ9rjjcM65fHmid865hPPmlc45\nl3Ce6J1zLuE80TvnXMJ5onfOuYTzRO+ccwnnid455xLOE30FkzRB0g0p69+XdHucMTnnWh9vR1/B\nJHUG5gOHA8cB3wOONbNtsQbmnGtVPNFXOEk/BroAJxONv7Mo5pCcc62MJ/oKJ+lQ4FVgnJlNizse\n51zr48MUV77vAOtI+V2GWa+uB3YAj5rZH2OKzTnXCvjD2Aom6b+BTsDZwGUpuz4D3G1mFwGnxhGb\nc6718Dv6CiXpk0TzsB5jZlskdZM03MzmAgOAxvHf67OexDlXFfyOvgJJGgjcApxlZlvC5uuAy8Py\nCqJkD/47dq7q+cPYBAp19L8GtgNPeh29c9XNE71zziWcf613zrmE80TvnHMJ54neOecSzhO9c84l\nnCd655xLOE/0zjmXcJ7onXMu4TzRO+dcwv1/sxxWpt43+04AAAAASUVORK5CYII=\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f1600eeb860>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXoAAAFbCAYAAADbUEUDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niZyCXkQkcgp6EZHIKehFRCL3P9ucXeSk22xHAAAAAElFTkSuQmCC\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f1600eeb978>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAAFbCAYAAADFmXWwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nZ2ZZHOp/AAAAAElFTkSuQmCC\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f160086f0f0>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXoAAAFbCAYAAADbUEUDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsnXeYVdXVh981Mwy99yJVUFCpA4j6WaJ+UawYewyKSDHG\nkmqJiRiTfJpiNDaKoqixIIqiEhMhRhMbMPSmoIgivSN9hvX9cc7Fy3Bn7rn13HvOep/nPPeUvfdZ\n58zMb/Zde++1RFUxDMMwgkuB3wYYhmEYmcWE3jAMI+CY0BuGYQQcE3rDMIyAY0JvGIYRcEzoDcMw\nAo4JvWEYRsAxoTcMwwg4JvR5jIiMFJHHoo5/KyLP+GmTYRi5h9jK2PxFRGoBnwDHAScB9wAnqOpu\nXw0zDCOnMKHPc0TkD0Bt4GzgTFX9zGeTDMPIMUzo8xwRORpYAlygqlP8tscwjNyjyG8DjJT5NbCB\nqJ+liNQGHgX2Af9W1b/5ZJthGDmADcbmMSLyU6AGcClwc9Sli4BJqjoMON8P2wzDyB2sR5+niMh3\ngCHAAFXdISL1RKSnqs4F2gAL3KLlvhlpGEZOYD36PERE2gKPA5eo6g739IPALe7+KhyxB/sZG0bo\nscHYAOL66B8G9gD/NR+9YYQbE3rDMIyAY1/rDcMwAo4JvWEYRsAJjdCLSA0RmSEi80RkkYjcHaOM\niMhfRWS5iMwXkd4J3qNQROaIyBsxrp0qIttEZK67/TqBdhuIyCQRWSoiS0RkQDrsFpGjouyZKyLb\nReSWCmVSsftmEVnovu9bYlxP6X0bhuGNME2v3At8R1W/EZFqwH9F5O+q+lFUmbOBzu7WH3jM/fTK\nzTirVOtVcv0/qnpu4qbzIPCWql4sIsVArQrXk7JbVT8BeoLzTwr4GpicDrtF5FhgGNAPZ+HWWyLy\nhqouT9VuwzASIzQ9enX4xj2s5m4VR6IvAJ52y34ENBCRll7aF5E2wDk40x7ThojUB04GngBQ1X2q\nurVCsaTtjuJ04DNVXZmy0Q5dgY9VdZeqlgHv4izkiiYddhuGEYfQCD0cdK3MBdYDb6vqxxWKtAa+\nijpe5Z7zwgPAL4ADVZQ5wXVR/F1EjvHYbgecEAdPum6hx93pk+myO8LlwPOVXEvG7oXA/4hIYzfK\n5kDgiApl0mG3YRhxCJXQq2q5qvbEWUzUz3UvpIyInAusV9XSKorNBtqqanfgIeBVj80XAb2Bx1S1\nF7ATuC0VeyviuoPOB16KcTkpu1V1CXAf8E/gLWAutkrXMHwhVEIfwXV9vAOcVeHS1xza62zjnovH\nicD5IvIF8ALwHRF5tsI9t0dcR6o6FagmIk08tL0KWBX17WMSjvCnw+4IZwOzVXVdxQsp2I2qPqGq\nfVT1ZGAL8Gma7TYMwwOhEXoRaSoiDdz9msCZwNIKxaYAg93ZIMcD21R1Tby2VfV2VW2jqu1xXCD/\nUtWrKty/hYiIu98P591v8tD2WuArETnKPXU6sDgddkdxBZW4bZK12y3fzP1si+Offy7NdhuG4YEw\nzbppCUxwZ5cUABNV9Q0RGQmgqqOBqTi+5OXALpygYUlToe2LgetFpAzYDVyu3pcl3wj8zXWxfA4M\nSZfdrr//TGBEBux+WUQaA/uBG1R1aybft2EYsbEQCIZhGAEnNK4bwzCMsGJCbxiGEXBM6A3DMAKO\nCb1hGEbAMaEHRGS4tR2Mtg3DOBwTeodMCo+1nd22DcOogAm9YRhGwAnsPPomTZpo+/btD7+wejW0\nanXIqQ0bNtC0adOM2GFtZ6ft0tLSjapaaaMichZOuOdC4HFVvbfCdXGvD8RZvHWNqs52r40HIvGM\njo2qMwonFPMG99QdbpgIw8gpArsytn379syaNevwCyKO2BuBQkQqDa/sroZ+BGcF8CpgpohMUdXo\nUBJVxcZ/CifZ+tMxmv+Lqv4p5QcwjAwSPtfNsGF+W2Bkn37AclX9XFX34QSeu6BCmUpj46vqe8Dm\nrFpsGGkkUEIvIsNFZJaIzNqwYUPsQmPHZtcoI1s0ifzs3S16wNdL3PtkY+Pf6MbqHy8iDZOy3DAy\nTKCEXlXHqmqJqpZU6gPu0ye7RhnZYmPkZ+9u2fiP/hjQEScd4xrgz1m4p2EkTKCE3hOzZ/ttgZF9\nvMS9Tzg2vqquc5PZHADG4biIDCPnCJ/QG2FkJtBZRDq4oZ4vx4mFH03CsfEr5LcdhJM+0TByjsDO\nuqmUlpZ7OmyoapmI/Aj4B870yvGqushrbHwReR44FWccYBVwl6o+AfxBRHriJJn/gqiY/oaRSwR2\nHn1JSYnGnF5pBBIRKVXVEr/tMIxcJHyum1Gj/LbAMAwjq4RP6O++228LDMMwskr4hN4wDCNkmNAb\nhmEEnPAJvQ3QGoYRMsIn9IZhGCEjfEJfYjPwjNxFRNqJyBnufk0Rqeu3TUb+Ez6hN4wcRUSGAZOA\nMe6pNsCr/llkBAUTesPIHW4ATgS2A6jqMqCZrxYZgSB8Qn/XXX5bYBiVsdeNlw+AiBThhFcwjJQI\nn9Dbylgjd3lXRO4AaorImcBLwOs+22QEgPAJfYV8sYaRQ9yGk392AU6AtKnAnb5aZASC8An9mioj\nzxoBRUTOEpFPRGS5iNwW47qIyF/d6/NFpHfUtfEisl5EFlao00hE3haRZe5nqhmmauJE1rxEVS8G\nxrvnDCMlwif0RuiISg5+NtANuEJEulUoFp0cfDhO9qgITwFnxWj6NmC6qnYGprvHqTCdQ4W9JjAt\nxTYNI4RC37t3/DJG0MhUcvALgAnu/gTgwhTtrKGq30QO3P1aKbZpGMESek/JwUtLs2uUkS38SA7e\nPCoL1VqgeRJ2R7OzgsuoD7A7xTYNI1gZptyE0GPBSTwSs9Dw4TA2G3mjjSyz0c/EI6qqIpLqVMhb\ngJdEZDUgQAvgspSNM0JPoHr0nhg3zm8LjOyTkeTgwLqIe8f9XJ+Kkao6EzgauB4YCXRVVfsKaqRM\n+ITeCCMZSQ7u1rna3b8aeC0NtvYFugO9cQaNB6ehTSPkBMp1YxixyGBy8HuBiSIyFFgJXJqKnSLy\nDNAJmAuUR8wHnk6lXcMIX3Lw1att0VQACUJycBFZAnTToP5RGr4RPteNzboxcpeFOAOwhpFWwue6\nOf98sA6TkZs0ARaLyAxgb+Skqp7vn0lGEAif0BtG7jLKbwOMYGJCbxg5gqq+KyLtgM6qOk1EauEM\nHhtGSoTPRz9mTPwyhuEDMTJMtcYyTBlpIHxCP3x4/DKG4Q+WYcrICOETehG/LTCMyrAMU0ZGCJ/Q\nG0buYhmmjIxgQm8YuYNlmDIyQvhm3Zx7rt8WGEZMVPUAMM7dDCNthE/oXw/eN2FVZdWW3Sxbv4PP\n1u9kxaadbNm5j6279rNj734EoUCgWmEBjWoX07hOdVrUq0HHprXp1LQOHZvWpkY1m8XnFyKygCp8\n8araPYvmGAEkfEJ/3nmBEPstO/fx9uJ1vP/ZRj7+fDNrt+85eK1hrWo0qVOdBrWq0axuDQAOqLJ3\n/wFWbtrF7C+3smnn3oMLhKsVCt1a1ad32wb079CYE49sTN0a1fx4rLAS+Zp5g/v5jPt5FTYYa6SB\n8AU1E8nbEAh7y8qZumANr85ZzfvLN1J2QGlatzr9OzSiX4dGHNOqHh2b1KFh7eK4be3ZX86KjTtZ\nvv4bFq3ezuwvtzB/1Vb27D9AUYHQu11DzuzanIHdW9K6Qe7np44X1ExEzgIexFmA9Liq3lvhurjX\nB+JEr7xGVWdXVVdERgHDcPzqAHeo6tQUnmGOqvaqcG62qlr+SyMlTOjzgA079vLMRyt57uOVbPxm\nH20a1uTc7q04t3tLjmlVD0nTlNH95QeYvXIL7366gXc+2cCSNdsB6N22ARf1bsP5PVtRL0d7+lUJ\nvZsc/FPgTJwUgTOBK1R1cVSZgcCNOELfH3hQVftXVdcV+m9U9U9peoa5wA2q+r57fALwqKr2TEf7\nRngJn+smj9i2ez9j3v2MJ9//gt37y/nO0c0YcmJ7TjqySdrEPZpqhQX079iY/h0b84uzjuaLjTt5\nc8EaXp+3mjtfXchv31zMwGNbctWAdvRu2zDt988gB5ODA4hIJDn44qgyB5ODAx+JSCQ5eHsPddPF\nUGC8iNTHSSW4Bbg2A/cxQkaghN5NCD0coG3btrEL5UFvvqz8ABM+XMmD0z5l+54yzu/RilvO6EzH\npnWyakf7JrW54bQj+eGpnVjw9TZenPkVU+au5pU5X9PjiAYMOaE953RvSbXCnJil20REor/CjXVz\nCEPsxN/9K9SvLDl4vLo3ulmgZgE/VdUtyT6Amzawhyv0qOq2ZNsyjGgCJfSekoOPHZvTYRDmr9rK\n7a8sYNHq7ZzcpSm3nXU03VrV89UmEaF7mwZ0b9OAOwZ25eXZq3jq/S+45cW5/PEfnzD85I5cWnIE\nNYt9nbnjR3Lwx4B7cAZM7wH+TAo9cBGpDnwP51tEUeRbm6r+JlVDjXCTE12xrDJihN8WxGRf2QHu\n/ftSLnzkfTbs2Muj3+/NhCF9fRf5itSuXsTgAe2Z9pNTeOLqElrWr8FdUxZx0n3/Yux7n7F7X3n8\nRrJPKsnBK62rqutUtTxq/nu/FO18DcctVAbsjNoMIyUC1aPPV77YuJObXpjD/FXbuKLfEdw+sGvO\nDnpGKCgQTu/anNO7NmfGis089K9l/H7qUsa+9zkjT+nEVce3y6W5+QeTg+OI9OXAlRXKTAF+5Prg\n++MmBxeRDZXVFZGWUQnEB+FkiEqFNqp6VoptGMZhmND7zNQFa/j5S/MoKixg9FW9OevYln6blDD9\nOjTimaH9mfXFZu5/+1N+++YSnnz/C245ozMX9W5DYYG/geRSSQ5eWV236T+ISE8c180XOGELUuED\nETlOVRek2I5hHEL4ple+/rqzaMpnDhxQHpi+jL9OX0bvtg14+MretMqD+epeeH/5Ru57aynzV23j\nqOZ1ueOcrpzSpWlG7xmQ5OCLgSOBFTipBAVQWxlrpEr4hH71amjVKvsGRbFrXxk/fnEu/1i0jktL\n2nDPhcdSvShn3BxpQVWZumAt9721lC837+LkLk2585yudGleNyP3C4jQt4t1XlVXZtsWI1iET+h9\nXjC1Zec+rp0wk3lfbeXOc7ox5MT2GZkTnyvsLSvn6Q9W8tC/lrFzXzk/OL4dPz6jC/VrpXcMIghC\nDyAiJ+GkEnxSRJoCdVR1hd92GfmNCX0WWb11N4PHz+DLzbt46IpefPeYFr7Y4Qebd+7j/rc/4bmP\nv6R+zWr87LtHcXnftmnz3wdB6EXkLqAEOEpVu4hIK+AlVT3RZ9OMPCd80yt9YuWmnVwy+kPWbdvD\n09f2C5XIAzSqXcxvLzyON278Hzo3r8svJy9k0KPvM/errX6blksMAs7HnVKpqquBzPi6jFARPqEf\nNizrt/xy0y6uGPsRu/aV8fzw4zm+Y+Os25ArdGtVjxeHH8+Dl/dk7bY9DHr0fW5/ZQFbd+2LXzn4\n7HNDMCiAiNT22R4jIIRP6MeOjV8mjXy1eRdXjPuIXfvLefa6/hzbun5W75+LiAgX9GzN9J+ewtAT\nOzBx1lec/ud3mVS6iqC6Ej0yUUTGAA1EZBgwDUtCYqSB8Pno+/SB0tKs2LB22x6+99gHfLO3jL+Z\nyFfK4tXbufPVBcz+civ9OzTid4OO48hmicX1CYKPHsDNFfu/7uE/VfVtP+0xgkH4evSzZ2flNtt2\n7efq8TPYumsfzwztZyJfBd1a1WPSyBP4/aDjWLJmOwMf/A/3v/0pe/bnZDiFTLMA+A/wnrtvGCkT\nPqHPAnv2l3Pd0zNZsXEnYweX0L1NA79NynkKCoQr+7dl+k9PZeBxLfjr9GUM/Ot/+OjzTX6bljVE\n5DpgBnARcDFOuGQLU2ykTPiEvmVmQwyUH1BufH4Os1Zu4S+X9eTEI5tk9H5Bo2nd6jxweS8mXNuP\n/eUHuHzsR9w6aT7bdu3327Rs8HOgl6peo6pXA32AW322yQgA4RP61asz2vy9f1/C24vXMeq8Yzin\ne/7FrckVTunSlH/ecgojTunIpNmrOP3+d3lj/uqgD9ZuAnZEHe9wzxlGSoRP6EeNyljTL8z4knH/\nWcHVA9px9QntM3afsFCzuJDbz+7KazecSMv6NfjRc3O4bsIsduwJbO9+OfCxiIxyF099BHwqIj8R\nkZ/4bJuRx4RP6O++OyPNfvDZRu58dSEnd2nKr87tlpF7hJVjW9dn8g9P4JcDu1J2QKldnHjQVRE5\nS0Q+EZHlInJbjOsiIn91r88Xkd7x6opIIxF5W0SWuZ+p5lf8DHgVdx49Tnz6FTiLpmzhlJE04Zte\nmYEQCKu27OK8h/5L4zrVeeWHJ+R8LPl8RlVjxgbyKTn4H4DNqnqv+w+goaqm7FMXkVqquivVdgwj\nQvh69Glmz/5yRj5bSlm5Mm5wiYl8hkkyANzB5OCqug+IJPiO5mBycFX9CGfRUss4dS8AJrj7E4AL\nkzEugogMcEMVL3WPe4jIo6m0aRgQMKEXkeEiMktEZm3YsCF2oVi9/CRRVX716kIWfr2d+y/rSYcm\ntmLdR5pEfvbuFp0YuLLE33goU1Xd5lEZptYCzVN8hgeA7+IOwKrqPODkFNs0jGBlmPKUHDyNPD/j\nK14qXcWN3zmSM7ul+jdupIgfycEPoqoqIin/zqnqVxW+tYRy1ZiRXgLVo/dESXq0YMma7Yx6fRH/\n07kJt5zRJS1tGhkjI8nBgXWuewf3c32Kdn4lIicAKiLVRORnwJIU2zSMEAp9Gti5t4wbnptN/ZrV\n+MtlPX3PiWrE5WBycBEpxknwPaVCmSnAYHf2zfG4ycHj1J0CXO3uX40zSyYVRgI34LiGvgZ6useG\nkRKBct1ki1+/togVG3fyt6H9aVKnut/mGHHIYHLwe3EiTg4FVgKXpmjnRuD7qbRhGLEIn9DfdVdK\n1SfPWcXLs1dx0+mdOcHCG+QNqjoVR8yjz42O2lcq6T3Hquue3wScnqptIvIQ386dj3X/m1K9hxFu\nwue6SWFl7Febd/HrVxfRt31DbvrOkemzyQg7s4BSoAbQG1jmbj2BYh/tMgJC+Hr0rVolFe+m/IDy\n04nzUOD+S3tSVBi+/5FGZlDVCQAicj1wkqqWucejcUIWG0ZKhE+t1qyJXyYGY9/7nBlfbGbU+cdw\nRKNaaTbKMABoCNSLOq7jnjOMlAhfjz4JFq3exv1vf8LA41rwvd4V19kYRtq4F5gjIu8AgrNYapSv\nFhmBIHxC37t3/DJR7Cs7wE8nzqNBrWJ+d+FxyS7BN4y4qOqTIvJ3nFg7ALeq6lo/bTKCQfiEPsF8\nsY+8s5yla3fw+OASGta2cTEjs7jCnup8fMM4hPD56IcPj1/GZdHqbTzyznIG9WrNGRbiwDCMPCV8\nQj9unKdi+8oO8LOX5tOwdjF3nWfx5Q3DyF/C57rxyJh3P2PJmu2MG1xCg1rmsjEyh4g0quq6qm7O\nli1GMDGhj8Hy9d/w0L+Wc16PVhaV0sgGpTgrY2ON9CvQMbvmGEEjfEL/dcWghYdy4IBy+yvzqVlc\nyK8tJaCRBVS1g982GMEmfEJfWuqsjq2E52Z8ycwvtvCHi7vTtK4FLDOyi5t3tjNOOAQAVPU9/ywy\ngkD4BmPPP7/SS+u27+G+vy/lhE6NuaRPmywaZfiJ1yTfiSYJF5H2IrJbROa62+hY7Ua1cx3wHk6k\nzLvdz1Hpek4jvIRP6KvgN28sZm/5AX4/yBZGhYzbgOmq2hmY7h4fgpsk/BHgbKAbcIWIdPNQ/zNV\n7eluI+PYcTPQF1ipqqcBvYCtKTyXYQAm9Ad599MNvDl/DTeceiTtLfdr2PCS5DsbScL3qOoeABGp\nrqpLgaOSbMswDhI+oR8z5rBTe/aX8+vXFtKxSW1GnmoTHEKIlyTfySYJ7+C6bd4Vkf+JY8cqEWkA\nvAq8LSKv4SQ0MYyUCNRgrIgMB4YDtG3bNnahGCtjH31nOSs37eJv1/WnelFhJk00MkcTEZkVdTzW\nTRYPgIhMA1rEqPfL6INUk3xXqL8GaKuqm0SkD/CqiByjqtsrqTvI3R3lBjarD7yVrC2GESFQQu/+\nYY8FKCkpif3HKgL67aUVG3cy+t3PuaBnK060jFH5zEZVrTTzu6qeUdk1EVknIi1VdU0VSb7jJgmv\nWF9V9wJ73f1SEfkM6IKTaCT6/vVUdXuFhVML3M86gC2YMlIifK6bKFSVu19fRHFRAb8c2NVvcwz/\n8JLkO+Ek4SLS1B3ERUQ64kyb/DxG28+5n6V8m20q+tMwUiJQPfpEmbZkPf/+ZAN3ntOVZvVqxK9g\nBJWYSb5FpBXwuKoOTDJJ+MnAb0RkP3AAGBkrnIGqnut+2sIpIyOIatLuyJympKREZ82K0Rk67zx4\n/XX27C/njPvfpVZxIW/e9D9Us9SAeY2IlFbluskHRGS6qp4e75xhJEr4evSvvw7A6Hc/Y9WW3Tw/\n7HgTecNXRKQGUAtnQLkh38a8qce3M3sMI2nCp3DnnceqLbt47N+fcW73lgzo1NhviwxjBI4//mj3\nM7K9Bjzso11GQAhfj/6NN/i/qUsRgTtsANbIAVT1QRF5GLhDVe/x2x4jeISvRw+8uWAN159yJK0a\n1PTbFMMAQFXLgYv8tsMIJqES+vIDzsBz6wY1GX6yrYA1co7pIvI9sUBLRpoJldC/OPMr2t/6BrcP\nPJqaxbYC1sg5RgAvAXtFZLuI7BCRmKtoDSMRQuOjV1Wem7GS21e9xznHDfTbHMM4DFWt67cNRjAJ\n1Tz63fvKqVm96JAQCEYwCMI8erDEI0ZmCE2PHjB3jZHTuIlHbsaJozMXOB74EPiOn3YZ+U+ofPSG\nkeNY4hEjI4RP6KdMiV/GMPzBEo8YGSFUrhsA+vTx2wLDqIyKiUe2YIlHjDQQvh59awsdYhxKGpKD\nXyIii0TkgIiUVKhzu1v+ExH5blV2qOogVd2qqqOAXwFPkHxaQsM4SPiE3jAOJ9Xk4AtxVrW+V6FO\nN5y49ccAZwGPRuLTVyhXQ0RuEZGHRWSEiBSp6ruqOsXNT2sYKWFCbxgpJgdX1SWq+kkl7b6gqntV\ndQWw3G2nIhOAEpysUmcDf07lYQyjIuHz0Q8b5rcFRu6RbHLw/nHabQ18VKFOLN9hN1U9DkBEngBm\neDE6HiIyEuihqte7x78F2qnqD9LRvpE/BEroPSUHHzs29nkj38mJ5OBJsj/q/mVpDHXzNPCJiNwO\nnAScA5yQrsaN/CFQQu8pOXifPlBamk2zjOzgZ3LwyvBap0dUTBsBarrH4piu9eLcJyaquktEngd+\nh+MSOlNVdyfTlpHfhM9HP3u23xYYuUeqycGravdyEakuIh1wQhsc5pZR1UJVredudVW1KGo/KZGP\nYjzwQ+AWVf0sxbaMPCV8Qm8Yh3MvcKaILAPOcI8RkVYiMhUclwoQSQ6+BJgYSQ4uIoNEZBUwAHhT\nRP7h1lkETAQWA28BN7hx57PJr4ENRH17F5GOIvKEiEzKsi2GT4QqqBkArVrB6tXZN8jIKEEJapZO\nROSnwInAX4G7VfWUCtcnqerFvhhnZJVA+eg9YSJvhAAR+Q4wBBigqjtEpJ6I9FTVuX7bZmSf8Llu\nRo3y2wLDyCgi0hZ4HLhEVXe4px8EbvHPKsNPwue6EbF49AHEXDfeEZHGODNxzgQeV9X/89kkI8OE\nz3VjGCFHVTcBI/22w8ge4XPdGIZhhIzwCX0sd45hGEaACZ/QG4ZLZWGHo65fICLzRWSuiMwSkZMS\nqFvl9ahyfUWkTEQujjr3hYgsiNw3mbZF5FS3/iIReTdddovIz91254rIQhEpF5FG6bBbRBqKyGT3\nnc8QkWMTeWajClQ1kFufPn00Js6SciNgALM0gd8PoBD4DOgIFAPzcIKLRZepw7cTFroDS73U9dJ2\nVLl/AVOBi6POfwE0ScHuBjiLtNq6x83SaXdU+fOAf6XR7j8Cd7n7R+OEjk7YLtsO36xHb4SVSsMO\nR1DVb9RVGqA2oB7rxm3b5UbgZWLH1knabuBK4BVV/dJ9jvUe63q1O8IVwPNptLsbzj8+1Emj2F5E\nmidhl1EBE3ojrMQKO3xYCGE3vMFS4E3gWo9147YtIq2BQcBjMWxTYJqIlLoRWRO1uwvQUET+7bYx\nOF12R9lfCyeZystptHseTgIXRKQf0A4nEJxnu4zYBHZ6ZWlp6UYRiZ1vM31hYI3coV0mGlXVycBk\nETkZuAcnFk46eAC4VVUPxAhLfJKqfi0izXByxy5V1fcOb6JSioA+wOlATeBDEfmo6ioJcx7wvqpu\njjqXqt33Ag+KyFycJCxzgGzHBgokgRV6VW3qtw1GTpNQ2GFVfc8NBtbEQ10vbZcAL7gi3wQYKCJl\nqvqqqn7t3nO9iEzGcV1EBNNL26uATaq6E9gpIu8BPdzzqdod4XIquG1StVtVt+OEbUCcF7MC+Bzn\nn1WiIaKNaPweJLDNNj82nE7O50AHvh3gO6ZCmSP5djC2N464SLy6XtqucJ+ncAdjccYC6kbtfwCc\nlaDdXXFy3xYBtXBy2h6bLruB+sBmoHbUuXTY3QAodveHAU8n8z5tO3wLbI/eMKpCnUxOkbDDhcB4\nVV0kTvo9VHU08D1gsIjsB3YDl6mjPDHrJth2ZTTHcRWBI3DPqepbibStqktE5C1gPnAAJ8zBQoA0\n2T0I+Kc63xjSZjfOP6gJ4mT4WgQMrapuFe/QqEBgY90YhmEYDjbrxjAMI+CY0BuGYQQcE3rDMIyA\nY0JvGIYRcEzoDSMOMVZ5Wtt52nZYMaE3jPhkUnis7ey2HUpM6A3DMAJOYOfRNxHR9sA2oKxbTQoK\nDo9vs/NA9bjt7C6v5ul+e8u8rz3TsuRi7UiS9apsc3/am/SFPetXbdQEwl40adJE27dv76nshg0b\naNo0MxE1rO00t716NbRqddjp0tLSKn8/ROQsnATqhTgLzO6tcF3c6wOBXcA1qjrbvTYeOBdYr6rR\nMfRH4azw3eCeukNVpyb3YKkR2JWx7YFZwOguNWg8peth12d+0zFuGwu2Hf4LE4sVGxsnZNueTTUT\nKg9QbWM8QkIcAAAgAElEQVR6f1Q1NsQvk08s/MtPYgewq4T27dsTM3m8kd+IOGJ/2OlKAhw61wqB\nR3CSpa8CZorIFFVdHFXsbKCzu/XHiTra3732FPAw8HSM5v+iqn9K/EHSS2BdN/tqFzDnxhY0fiM5\nkc8UJvKGkUGGDUumlpd49xfgxN5RVf0IaCAiLcEJeIcT+ydnCazQ7+xQg+U3t4IKLhuvIp+J3ryJ\nvL+IyHA3JeCsDRtC/CKCzNixlV1pEvnZu1v0gK+XePfJxsS/0U2NOF5EGnoonxECK/SpYCIfTFR1\nrKqWqGpJLB/w1l37fLDKSCt9+lR2ZWPkZ+9ulf5HSCOP4aQ/7AmsAf6chXvGJFRC75dfPhmRTzdh\nF/l4bN65j4EP/oe7X19EWfkBv80xkmX27GRqeYnDn1D+AgBVXaeq5ap6ABiH4yLyhdAIvZ9++WRI\nZ2/eRD4+9WoUcfZxLXny/S+45smZ1rsPFzOBziLSQUSKcZKqTKlQZgpOyGoRkeOBbaq6pqpGIz58\nl0E4eQF8IRRCH1a/fI0Nh4t8+b69aWk7aBQVFvCrc7vxh4u7M2PFZi545H2Wr9/ht1lGorRsGb9M\nBVS1DIjEu18CTIzEyo/Eywem4iQ/WY7TO/9hpL6IPA98CBwlIqtEZKh76Q8iskBE5gOnAT9O8qlS\nJrDTKyOEWeQr8uWbT7P907nU69KTtucMPryAwaUlR9CpaW1GPFPKoEc+4KEre3HqUc38NsvwSoyp\nlV5w57dPrXBudNS+AjdUUveKSs7/ICljMkCge/Qm8t9Svm8v2z+dC8D2T+daz74K+rRrxGs/Ook2\njWpx7VMzGf/fFZFUd0auM2qU3xbkJIEWei+EQeQBCourU69LTwDqdelJYXH8VcFhpnWDmkwaOYAz\nujbnN28s5o7JC9lvg7S5z913+21BThJY142X8Aa5QqZFPkLbcwZTfuZlJvIeqV29iNFX9eGP//yE\nx/79GV9u3smjV/ahfi1vYTEMI1cIdY8+V3rziXBgb2yXi9eZNSbyiVFQINx61tH86ZIezFixmUGP\nvc/KTTvjVzSMHCK0Qp8rIp9Ib37t80/z+d23s/b5Q0Nq2PTJzHNxnzY8O7Q/W3bu48JH3mfmFzm9\n4j28WPyimGRV6EXkLBH5RESWi8htMa43FJHJ7pLhGSJyrNe6iZCPIn9g716+WeAMpn6zYO7Bnn2u\ninwQB3v7d2zM5B+eSMNaxXx/3Me8NrfK9TKGkTNkTeijIsSdDXQDrhCRbhWK3QHMVdXuwGCcsKBe\n63oiH0UeoKB6deoc5wym1jmuJwXVq+esyH/55tMseeR2vnwzVjC//KZ9k9q88sMT6NW2ATe/MJeH\npi+zGTm5REmJ3xZkFBFpJyJnuPs1RaSul3rZ7NF7iRDXDfgXgKouBdqLSHOPdePiVeQzTbKDry2u\nGEzHu/6PFlcMzlmRD8M0zga1inlmaH8u6tWaP7/9Kb+YNN9m5BgZR0SGAZOAMe6pNsCrXupmU+i9\nRH+bB1wEICL9gHY4D+Mpclx0dMLdWw4VmEREPpO9+VRn2ORyTx7CM42zuKiAP1/ag5tP78xLpau4\n5skZbN8TkCwuRq5yA3AisB1AVZcBnlbz5dr0ynuBB0VkLrAAmAOUe63sRqQbC9DimEZJfZ/OZZGH\n3PXJRxOWaZwiwo/P7MIRjWpx28vzuXT0hzw5pC8t6/sfxC603HWX3xZkkr2qus9JdgUiUgR40rls\n9ujjRn9T1e2qOkRVe+L46JvixJdIOHJcNHPWNPFUzkQ+fQRd5KO5uE8bnhrSj1VbdjPokQ9YvHq7\n3yaFl2CvjH1XRO4AaorImcBLwOteKmZT6ONGiBORBu41gOuA91R1u5e6lfHMj+cx7ezRzB319yrL\n5dJc+Vjkk8iHkZM6N+GlkQMAuHTMh7y/fKPPFoWUGPliA8RtOPlnFwAjcGLz3OmlYtaE3mOEuK7A\nQhH5BGeGzc1V1Y13zzlrmrD2nWUArH1nGWWVhJ7NtRk2FTGRzw+6tqzH5BtOoHWDmlzz5AxenWPT\nL7POmiojB1eKh6nfIiJ/da/PF5HeUdfGi8h6EVlYoU4jEXlbRJa5n6lmmKoJjFfVS1T1YmC8ey4u\nWZ1Hr6pTVbWLqnZS1d+550ZHosSp6ofu9aNU9SJV3VJV3arYXV6NolrFtDitMwAtTutMUa3iw8qZ\nyBvppGX9mkwcOYA+7Rpyy4tzeezfn9n0yxzH4/Tt6OTgw3GyR0V4CjgrRtO3AdNVtTMw3T1Ohekc\nKuw1gWleKgZ+ZWzPUWdzxt9H0nPU2Vm/t4l8OKlfsxoTru3H+T1acd9bS7n79cWUHzCxzwq9e8cv\ncziZSg5+ATDB3Z8AXJiMcVHUUNVvIgfufi0vFXNt1k1GiNWTh9wdfDWBzwxuQujhAG3bts3ovaoX\nFfLAZT1pVrc6j/93Bet37OH+S3tSo1phRu8bekpLK7vSRESi4yOMjcobG2v6dv8K9Sub4l2Vr6h5\nVBaqtUDzKsp6YaeI9FbV2QAi0gfY7aViKIQ+Fiby8am1Mfle6K4mkkZL0kP09NuSkpKMd7ELCoQ7\nz+1G83o1+N3UJWzeOYOxg0uoV8OiX2aM4cNhbMy83xtV1bdls6qqIpLq79wtwEsishoQoAVwmZeK\ngXfdxMJEPja1NuohWzraMmDYyR158PKezPpiC5eN+Yj12/f4bVJwGTcumVoZSQ4OrIu4d9zP9ckY\nF0FVZwJHA9cDI4GuqlrpV5hoQif0JvKHki5h96v9fOGCnq0Zf01fVm7ayUWPfcCKjRbqOIfISHJw\nt87V7v7VwGtpsLUv0B3ojTNo7CknaKiE3kT+W/wQ37CL/cldmvL8sOPZta+cS0Z/wMKvt/ltkkFG\nk4PfC5wpIsuAM9zjpBGRZ4A/ASfhCH5fwJM7KjQ+ehP53BDaiA256MPPBj2OaMBLIwcw+IkZXD72\nI8YO7sMJnbyt3DY88HVyaxcylBx8E3B6UgbFpgTopknM1w1Fjz7sIp+LrpNcsyebdGpah5evP4FW\nDWpwzfiZvLVwrd8mBYfKZ90EgYU4A7AJE3ihz9XQBtkU+Vwll23LNC3q12DiiAEc07oeP/xbKRNn\nfhW/khGf88/324JM0gRYLCL/EJEpkc1LxUC7bnJ11Ws2RD5fRLTWRg2tG6dBrWL+dl1/Rj47m1+8\nPJ+tu/cx/OROfptl5C6jkq0Y2B793rLM/g/LVZGvzE1Tvj93E4DkomspW9QqLuLxwSWc270lv5+6\nlPveWmohE4yYqOq7wBdANXd/JjDbS91A9+i9ki2/fCZFviqhXP7e02xeOY9G7Xpw5MmeZmMZWaS4\nqIAHL+9FvZrVeOzfn7F9935+c8GxFBaE85tOSowZE79MnuJmmBoONAI64azMHY2HAd/QC33QRb58\n/142r5wHwOaV8yjfv5fCarkZKz7MbpzCAuF3Fx5L/YjY7ynj/kt7UK0wsF+6M8Pw4X5bkEluwInL\n8zE4GaZExFOGqVD/FuW7yHtxeRRWq06jdj0AaNSuR86KfISwunDAyVh161lHc9vZR/P6vNWMeKaU\nPfs9J1gzACTQHYW9btA1ILEMU6Ht0QdB5L1y5MmDc7onX5Ew9+wBRp7SiTrVi/jVawu55skZPH51\nX+pUD+2fqvEtFTNM/ZAczDCVM+SzyCc7cJkvIh8hzD17gKuOb8cDl/Vk5hdb+P64j9haSdIcI1Tk\nfoYp8JTF5eciMtfdFopIuYg0cq99ISIL3GuzDm/dG/ku8mEibM9bkQt6tmb0VX1YsmYHl4/9iA07\ncnfmVM5w7rl+W5AxVPWAqo6LZJhy93MrObiXLC6q+kdV7ekmB78deFdVowP6n+ZeTyrcaL6KfJin\nH4adM7s1d4Oh7eKyMR+yequn8OPh5XVPnoy8wu3gzq9s89JGNnv0XrK4RHMF8Hy6bp7PIh9mwv78\n4CQef2ZoPzbs2Msloz9k5SaLfFkp553ntwWZ4FzgPOAtd/u+u/2dCvF5KiObQl9ZhpbDEJFaODkY\nX446rcA0ESl1MwXFqjdcRGaJyKzybd/+MQRF5HN50VMmMbGHkvaNeH748ezaV8alYz5k+fpv4lcK\nI2+8kVS1FJODx6wrIqNE5Osod/TAZGxT1ZWquhI4U1V/oaoL3O1W4H+9tJGrg7HnAe9XcNuc5Lp0\nzgZuEJGTK1ZS1bGqWqKqJYX1awP5KfKxXDXL33ua0hfuYPl7T6fvRkZecWzr+rwwfADlB+CyMR+y\nePV2v00KBKkkB/dQ9y8Rd7QbITNFU+XEqIMT8Kjh2RT6RDK0XE4Ft42qfu1+rgcm47iCqiRfRb4i\nsRY9hQ3r1Tsc1aIuE0ccT3FRAVeM+4h5X23126QgkEpy8ERd0qkwFHjUnZiyEngUuNZLxWwKvZcs\nLohIfeAUorKxiEhtEakb2cf5urKwqptpWWLzsHNV5CH/Fj3lKtGuvQ0bcig5b4J0bFqHiSMGUK9m\nEVc9/jGlKzfHrxQWKp+E0iTys3e3aPevF7dyZWXi1b3RdfWMF5GGCTzJYahqqar2AHoA3d1vCbkV\n60ZVy0QkksWlEBgfyeLiXo8E+R8E/FNVo0ecmgOTxVn1VgQ8p6pvpcs2v0XeS2813xY9ZYJUF1Jl\nOzl4JjmiUS0mjhjAleM+5gdPzOCJq/syoJP3aK2BZezYysIg+JEc/DHgHpzxxXuAP+OxBx4LEakO\nfA9oDxS5eoiq/iZe3az66FV1qqp2UdVOqvo799zoCplcnlLVyyvU+1xVe7jbMZG66SAfRD5CmEU+\ngrlwvqVl/Zq8OOJ4WjeoyZCnZvDfZRv9Nsl/RoxIplYqycErrauq61S1XFUP4KQfjOtujsNrOG6h\nMmBn1BaXXB2MzQr5JPKGEYtmdWvwwvDjad+4NtdOmMk7S9f7bVI+kkpy8Erruj78CIOI4272QBtV\nvUxV/6Cqf45sXiqGVuhN5PMXe3eH0rhOdZ4fdjxdmtdh+DOzeHvxOr9NyitSSQ5eWV23zh8ii52A\n04Afp2jqByJyXDIVQxkpyU+RN5EyMkHD2sX87brjGTx+Btc/W8rDV/bmrGOTSi+a30zxlFnvMFJM\nDn5YXff8D5IypnJOAq4RkRXAXkBc07rHqxi6Hr2JfDCwd3k49WtW45mh/ejepj43PDebN+ev8duk\n7NOnj98WZJLIXP7/xVlrFFkxG5dQCb2JvBF06tWoxtND+9O7bQNuemEOU+at9tuk7NI65mL7QOCu\njj0C+I67v4scXDDlKybywcPea2zqVC/iqSH9KGnXkFtemMNrcytbl2jkEyJyF3ArTsBHgGrAs17q\nhkLo/RL5fIk6GcaVtkGndvUinhzSl/4dGvPjF+cyec4qv00yUmcQcD7ulEpVXQ3U9VIx8ELvp8jn\nA/keQydf3rMf1CouYvw1fTm+Y2N+MnEeL5eGQOyHDfPbgkyyzx0UVjgYJcATgRb6ZES+xobwiHw2\nYujYtwV/qVlcyBNX9+XETk342aQQiP3YsX5bkEkmisgYnDg7w4BpOFM94xJYoZcEY91A+PzxmY6h\nk61vC/n0zv2gZnEh4waXhEPsAzzrRlX/BEzCCd/eBfi1qj7kpW7K8+hF5FZVvS/VdvwmKCJfa93+\nhMp3P+oKyjpdxL7WddJqR6xvCxbCwT8iYj/s6Vn8bNI8CgpgUK82fpuVfmZ7ivGVzywAauK4bxZ4\nrZRwj15EJkZtLwHXJdpGrpHPg6611u0/ZEuGoqLqKbdREYu4mXtExP6ETo356cR5vDrHZuPkEyJy\nHTADuAi4GPhIRDwFSUumR79dVQ+Ku4g8lkQbOUM++uPTJcZe2t/VvFrS7VjEzdyjZnEhjw/uy7VP\nzeQnE+ci4iQhDwwtW8Yvk7/8HOilqpsARKQx8AEwPl7FZHz0FSNH/jKJNnKCfBL5dPe4E71vspjI\n5x41iwt54poS+nVoxI9fnMvrQVpUtTpAz3I4m4AdUcc73HNxiSv0IjLBjcoGgKquiL5eId1f3pAv\nIu+HuFdmhxEcIlMvS9o14pYX5zJ1QUDCJYwa5bcFmWQ58LGbi/Yu4CPgUxH5iYj8pKqKXnr0XwEf\nikj76JMi0l1E4n5lyEXyQeRzReCjyUWbjOSpVVzE+CF96XVEA256fg5vLVzrt0mpc/fdSVXLUHLw\nRiLytogscz9TyjAFfAa8ijuPHic+/QqcRVNVLpyKK/SqeidwFzBNRM4RkQtF5N/Ak8C/E7Ey3st0\ny5zqZkxfJCLvJlLXC6mIfDYGXfNBTHPdPsM7ddwVtMe1qc+Nz89m+pLwhTjOYHLw24DpqtoZmO4e\nJ42q3q2qdwN/jOxHb1XV9eqjfw94C3gdGI0zf7OPqnqeIO3lZYpIA5yEt+er6jHAJV7reiFVkc8k\n+SDw0eSbvUbl1K1RjQnX9qNry3pc/+xs3v00f/PpJkmmkoNfAExw9ycAF6ZipIgMEJHFwFL3uIeI\nPOqlrhcf/aM48zW/AboC/wJuEpFaCdrp5WVeCbyiql8CqOr6BOpWSa6KfL4LZj7ZHpTk4JmgXo1q\nPH1tP45sVofhT8/ig+V5mpZw1qzKrviRHLy5m4UKYC1O7utUeAD4Lu4ArKrOA072UtFLj34ecLSq\n3qaqn6jqlcCHOHM4uyRgpJeX2QVoKCL/FpFSERmcQN1D/pDLd36bSjEXRT7fBT6afHkOVR2rqiWq\nWtK0aVO/zck5GtQq5tnr+tOhSW2GTpjFjBV5Oc+iMjZGfvbultVYCdExalJs56sKp8q91PPiox+j\nqrsrnPszcAsxsqqkSBHQBzgH5z/XrxL5ZxL9h1xY24n3k6siHzSC+ExhpFHtYp4Z2p9WDWpw7VMz\nmfPlFr9NSoySkmRqZSQ5OLAukjfW/Uw1oe9XInICoCJSTUR+hpO+MC5Jx7pR1X/h5EH0ipeXuQr4\nh6ruVNWNOGMDPTzWPYxcE/kg9eJjEeRnCxNN61bnb9cdT+M6xQweP4OFX2/z26RMk5Hk4O7n1e7+\n1TizZFJhJE46w9Y4+teTStIbViSloGYxvkZUhZeX+RpwkogUuWMA/XH+Y3mpewiSguakW+SDLvDR\nhOU5g06L+jV4btjx1KtRjR888TGfrN0Rv1KeksHk4PcCZ4rIMuAM9zgVOzeq6vdVtbmqNlPVqyKr\nZOORteTgqlomIpEXUgiMj7xM9/poVV0iIm8B84EDwOOquhAgVt1025ipXnzYqLVuf0qhE4zcoHWD\nmjw3rD+XjP6Q7z/+MS+NHECHJp5DoPvDXXclVS1DycE3AacnZVAUIvIQVfj3VfWmuG049gePms2P\n0CO/X+VisUPIRC8+7GRT7Gc889NSVfXsoC0pKdFZlc/QMKJYvn4Hl435iOpFBbw4YgBHNEp0wp3/\niEhCvx+5hIhE3D8n4kwvf9E9vgRYrKojY1aMIrDx6BPBRN4wKufIZnV5Zmh/vtlbxlVPfMy67Xv8\nNqlyWrXy24K0o6oTVHUC0B04VVUfcuPQn47jp49L6IU+nSIfJl+8FzL1LixrVfbp1qoeE67tx8Yd\ne7nq8Y/ZvHOf3ybFZk1AYvbEpiFQL+q4jnsuLqEW+nSLvHE46X4v+Z7jNp/p1bYhj1/dly837+IH\nT3zMtt32O59l7gXmiMhTIjIBmA383kvF0Ap9ukTeevHxSdf7yUaOW6NqBnRqzOgf9OHTdTsY+tRM\ndu0r89ukQ+ndO36ZPEVVn8SZiTgZeAUY4Lp04hJKoU+nyBveSMe7sqxVucFpRzXjgct6MfvLLYx4\nppS9ZZ4WZ2aH0lK/LcgoqrpWVV9zN8/hRrM2vTIXMFdN/mNZq3KDc7q3ZOe+7vxi0nxufn4uD1/Z\ni6LCHOg3Dh8OY7Ma3SAvyIGfTHYwV43/pDMfreE/l5YcwV3ndeOtRWu57ZUFHDiQA1O1x43z24Kc\nJBQ9enPV5A62mCpYDDmxA9t3l/GXaZ9St0YRvz63GyLit1mBQkQaVXXdS5a/wAu9ibxhZJabTj+S\nbbv3M/79FdSrUY0fn5lIUFvDA6U4K2Nj/QdVoGO8BgIt9OkQeRP49GO9+mAhItx5Tld27NnPg9OX\n0aBWNYac2MEfY76OG+sw71DVlF9mYIW+IA2zvkzkM4eJfbAoKBD+76Lj2LZ7P3e/vpj6NatxUe82\n2TektDSQq2MjuHlnOwM1IudU9b149UIzGJsoJvKGkRhFhQX89YpenNCpMT+fNJ9pi33IP3v++Wlv\n0muS70SThItIexHZ7ebInisio2O1G9XOdTih2/8B3O1+jvLyDCb0McgFka++envSW76QC+/ZSC81\nqhUydnAJx7Sqxw3Pzebjzz1F0c114ib5TiFJ+Geq2tPd4gUnuxnoC6xU1dOAXsBWLw9gQh+Fn1Mn\n0ynW+ST8JvbBo071Ip4a0o/WDWty3YRZLM7x30EPeEnynY0k4XtUdQ+AiFRX1aXAUV4qmtC7+CE4\n2RLjfBD8bGDJwbNHJCVhnRpFDB4/g5WbdsavlA7GjKnsSlXJwePhJcl3sknCO7hum3dF5H/i2LFK\nRBoArwJvi8hrwEovDxDYwdhEyKbI+ym4kXvvbVUvTsnskq2BWTch9Fhw4tFn/IYhp3WDmjwztB+X\njP6QHzwxg0nXD6BZ3RrxK6bC8Er1e2NV8ehFZBrQIsalX0YfqKqKSNK/OxXqrwHaquomEekDvCoi\nx6hqTJFQ1UHu7igReQeoD7zl5b5Z7dFXNlgRo1xfESkTkYujzn0hIgvc/35pyxiRLZHPpV51LtkS\nwVw4weTIZnV5ckg/NuzYy9XjZ7J9T4Z/zkku1lLVM1T12Bjba3hL8p1wknBV3RtJBaiqpcBnwGGL\nEESknvvZKLIBC4D/4oQqjkvWhD7OYEXFcvcB/4zRzGnuoEXKmWKy4Y/PdT95LttmBIeeRzRg9A/6\nsGzdDoY/PYs9+3MoCJo3vCT5TjhJuIg0dfUOEemIM23y8xhtP+d+lgKzYnzGJZs9+qoGK6K5EXiZ\n2P8100K2BD5fyBVbrVcfXE7p0pQ/XdKDjz7fzC0vzKU8F+LieCdmkm8RaSUiUyHpJOEnA/NFZC4w\nCRgZK5yBqp7rfnZQ1Y4VP708QDZ99LEGK/pHFxCR1sAg4DScaUTRKDBNRMqBMa6/NWEyKSa5IpjJ\nUH319pzz3RvB4sJerdm0cx/3vLGYu6Ys5J4Ljk1/XJxzz01ve1Se5FtVVwMDo44TShKuqi/jdGo9\nISLTVfX0eOdikWuDsQ8At6rqgRi/ACep6tci0gxnxHlpxRVh7kj6cIDi2oevaTCRr5pcGKy1FbPB\nZuhJHVi/fQ9j3vucZnVrcNPpndN7g9dfT297OYCI1ABq4cwcasi3MW/q8e3MnirJptBXNVgRoQR4\nwRX5JsBAESlT1VdV9WsAVV0vIpNxXEGHCH30rIrajY845LthpkQ+CAJfEb979yb2webWs45mw469\n3P/2pzStW50r+rVNX+PnnRdEsR8B3AK0wvHLR4R+O/CwlwayKfQHBytwBP5y4MroAtHBe0TkKeAN\nVX1VRGoDBaq6w93/X+A3Xm5qAp8cfou9EVwKCoT7Lu7Opp37+OXkBTStU50zusWamp4Eb7yRnnZy\nCFV9UEQeBu5Q1XuSaSNrg7GVDVaIyEgRibf0tznwXxGZB8wA3lTVuPNHTeRTw8/ntIHZYFOtsIBH\nv9+bY1vX50fPz2b2l1v8NimnUdVy4KJk62fVRx9rsEJVYwbyUdVrovY/B3okcq+CsvSP6odF4KOx\nnr2RKWpXL2L8NX353mMfMPSpmUy6/gQ6NfU0LTysTBeR7wGvqGpCAmchEDyQb9Ml041fz269+uDT\npE51nr62HwUiXD1+But37EmtwcT0L98YAbwE7BWR7SKyQ0Q8/XGa0MchzAIfjYm9kSnaNa7N+Gv6\nsumbfQx5cibf7E0hmUSAE4Oral1VLVDVYlWt5x57+rptQl8FJvKHYu/DyBQ9jmjAI9/vxdK1O7j+\n2VL2lx9IrqERI9JrWI4hIg1FpJ+InBzZvNQzoY9B2F01VeHHe7FefTj4ztHN+f2gY/nPso3c/soC\nEnRDBx5LPJJGTODjY+/IyBSX9W3LTad3ZlLpKh6Ytsxvc3KNpBOP5NrKWN8w8cptbBFVePjxGZ1Z\nvXU3D05fRqsGNbisbwILqqZMiV8mf9mjqntE5GDiERHxlHjEhB4T+WSwaZdGphBxEo2v276HOyYv\npHm9Gpx6VDNvlfv0yaxx/lIx8cgWPCYeCb3rxkQ+ebL97sxXHx6qFRbw2FV9OKp5XW7422wWrd7m\nrWJrT6FfEiINycEvEZFFInJAREoq1LndLf+JiHy3KjtUdZCqblXVUcCvgCfwmJYwtEJvA67pwd6h\nkSnqVC/iySF9qV+zGkOenMnXW3f7ZUqqycEX4qxqrRiEsRtOKJhjgLOARyPx6SuUqyEit4jIwyIy\nQkSKVPVdVZ3ihnyPSyiF3sQpvWTzfVqvPlw0r1eDJ4f0Y/e+coY8OSPzGapik1JycFVdoqqfVNLu\nC26mqRXAcredikzACfi4AOcfyZ8TfYDQCb2JfP6TrNhbcvD85KgWdRnzgz6s2LiT658tZV9ZFXPs\nhw2r7IqfycErw2udbqp6laqOAS4G4iURP4zQCH3Ou2pWrXO2PCWn362Lqo5V1RJVLWnatKnf5hgJ\ncMKRTbj3ou68v3wTd0yuYo595StjN0Z+9u52SEERmSYiC2Nsh2TBc2PMZHuC/8GejRscMmFCMesm\nJ0TIq4jHK9cmTeFcM0A2Z+LYdMvw8b0+bfhqyy4emLaMIxrW4uYzYiQt6dMHSksTbltVz6jsmois\nE5GWqromyeTgleG1To+omDYC1HSPxTE9fhiEwAt9VSJfVr6PosLizN08Ez306DZzWPQNIxPcfHpn\nvtq8m79M+5S2jWsyqFebQwvMnp2J20aSe9+Lh+TgVJJvo5J2nxOR+3GSinTGCcN+CKp62ABtogRa\n6O6l7ZkAAAl6SURBVKsS+XlfTmbt9iW0qNeVHm0Hpe+m2XS/5KDoW6/eyCSROfart+7mF5Pm07J+\nTY7v2DjTt70XmCgiQ3HmrV/q2tIKeFxVB6pqmYhE8m0UAuMjycFFZBDwENAUeFNE5qrqd918HBOB\nxUAZcIMbdz7tBNZHX7Cv8vdVVr6PtduXALB2+xLKyj3NUKqciH/dTx+73/ePIidcZUZgKS4qYPRV\nfWjbqBYjninlsw3ffHuxZcu0309VN6nq6araWVXPUNXN7vnVqnpIcnBV7aKqnVT1d1HnJ6tqG1Wt\nrqrNVfW7Udd+55Y/SlX/nnbjXQIr9FVRVFhMi3pdAWhRr2vy7pscEteD5Jo9GcamW4aT+rWq8dSQ\nflQrFIY8OZNN3+x1Lqxe7a9hOUpWhb6ylWNR1y8QkfkiMtedAnWS17qJ0qPtIE7v+rPk3Da5KPDR\n5IB91qs3Ms0RjWoxbnAJ67bvYdjTs9izvxxGjfLbrJwka0IfZ+VYhOlAD1XtCVwLPJ5A3YRJuCef\nAwKaECERe+vVh5debRvyl8t6MvvLrfzspXlw991+m5STZLNHX+nKsQiq+k1ULsTafDtfNW7djJJv\nAh9NPttuGB4YeFxLbjv7aN6YvyZ+4ZCSzVk3sVaB9a9YyB2h/j+gGXBOgnWHA8MBalRLw8yPIAnk\nqnW+zMyxKJdGNhhxckdWbtoJgKoiIj5blFvk3GCsO0J9NE48iXsSrHtw5WNxYa3UDAmSyEfw6ZnM\nX29kGhHh94OOg1mzTORjkE2hT2jlmKq+B3QUkSaJ1k2JoLs6gvxsRqgxga+cbAr9wZVjIlKMs3Ls\nkHQwInKkuD8tEekNVAc2eambMkEX+Gh8eE7r1RtZoaQkfpkQkjUffWUrx0RkpHt9NPA9YLCI7Ad2\nA5e5g7OVrjpLC2ER+Gh88Nln2F+fc25Iw8gVshoCQVWnAlMrnBsdtX8fcJ/XumkhjCIfwacB2nSz\naN5z4CRKNgwjBlJpuM88R0Q2EDufYhNgY4Zvn417ZOs+uX6PAlyRV1XPTtoqfj+MYNJOVUMbmzqw\nQl8ZIjJLVTPqyMvGPbJ1n6DcwzDCjPk1DcMwAo4JvWEYRsAJo9BXmmssz+6RrfsE5R6GEVpC56M3\nDMMIG2Hs0RuGYYQKE3rDMIyAY0KfAUSktt82pIsgPYthhJVQ+ehFpB9QDShT1Y8zdI8zgFOB36nq\n7kzcw71PIJ4lG89hGGEnND16EfkuTiC0c4DnReRHIlInzfc4GyeEw9sZFvlAPEs2nsMwjBD06N1o\nmMXAGGCqqk4UkZ7AH3GCpD2qqrvScJ+jgHnAUFX9m4g0A2oBdVR1Yartu/cIxLNk6zkMw3AIfI9e\nHfYCS4DuIlJHVecCtwADgSFputUO4GGgv4icCDwP3AlMF5Hr03GDoDxLFp/DMAxCIPRRzAcaA51E\npMgNc/xz4Cci0iPVxlV1NfAg8A3wb+A1Vb0Oxy3xWxE5PtV7RGL1E4BnccnocxiG4RAaoVfVv+MI\n103AsW4vshR4C0gpNY2IFLr3+Ap4FDhPVf8qIqKqs3B6xOUptF/bbV8z9Swi0sZN6kImn8W9l2Tq\nOQzDOJxA+uhF5Bic0LdLVHV9hWv3AXWBvTgJx38KnKiqXyR4j5OADqr6jHtcqKrl7n6Rqpa5+1cC\nt+II5pdJPMsFwJnAb1R1vYgUqOqBND/Ld4FRwPdV9fNMPIuIdAbqA7Nxfu/Ko66l5TkMw4hN4IQ+\narbI5zjT9oar6tcVBOs0oDvQBXhEVRcn0H4BzsDkxzi9zr9GkqdUuEcxcAFwF06mrIQzYonIKTgD\nljeq6tuVlEn6Wdz6/wv8AWiA46K5OUaZlJ5FRC4E7gaW4wj5p8AEVd2ZrucwDKNyAiX0InIqToCs\nq1R1hohMxhGNadE94ajyB4U5iXv9AseF0QOYo6p/iVFmALAm2Z6piPwEKFDVP4lIK+AYYDvwiapu\nrVA24Wdx58mPxhHxT4E3gd+6idnT8iwi0hh4Fvipqi4WkWuB63GmVT6oqtsrlE/6Z2IYRmyymkow\nC6wDRrgi3wLoj+MSvgT4EHhKRPoCzVT1TVLzNZcBbYEJwHUicj+wV1Vvd906NVR1WkpP49wj4jef\nhJMRqQznmYbgCH/rFJ6lEBjs5u5tAHzitvme65NXEekP1E3hWcqAOkALYLGqjne/dTUBzgWec/+J\nNErDz8QwjBgEajBWVZeo6jvu4VCc+dgX4oj8QBE5AuiA4yc+OLiZJK8Ba1V1OjALp5da373WAkhH\n8vJ3gGEi8gIwTlWvwHGf7AS+i+PmSPpZVPUfqvqB+21nK06P/i4ROc4V+WpAx1SeRVW3/X979xNi\nUxjGcfz7LKaRKbKxEGZroyYLRVZkYYHyb4WilLJhyM4kfwo7EptZyDSpiQ1pthayU6RMyqzIxoIa\nNVI8FufcujXYzLnuve98P6t7z+I87+nUr/c87/kDTALHI+JIRFyl6sW/pVp7ABhezHFI+reiWjf/\nEhHTwGhmzjS0vzXAVeAFcB6YADYDU5l5v4kadZ3dwC1gIjPH6m3jwHRmPmqqTlu9S8A8cD0zf7Vm\n9ovc50qq2fsO4Gtmjtbbn1K1jX4a8FLnlNa6Aaq+RntwRMR+YDXwpakamfkpIj4AF4BTmfmkXlB8\n31SN2jTVLP5iRLQ+Zj0CXGu4Tstr4AzVU6q/mgjg1qw+Ih603TF0FFhF1eL6ttgakv6u6Bl9RAwC\nh4FRqrtFGnkVQdv+11H1+1/W/xcs+DZYaxNwABgE7mXmm07UqWtNAec7dXtjvSB7juqcdOw4JFVK\nD/oBqj7wbGa+62CdRbc3esH/Oo6IGAYGMrPpqx9Jf1B00EuSCrvrRpK0kEEvSYUz6CWpcAa9JBXO\noJekwhn0klQ4g16SCmfQ97GIOBkRd9v+X4mIiW6OSVLv8YGpPhYRy6leLbwR2AZcBrZm5nxXByap\npxj0fS4ibgBDwC5gZ2bOdnlIknqMQd/nImIDMAPszczH3R6PpN5T5GuKl5gx4DNt5zIihoA7wA/g\nWWZOdmlsknqAi7F9LCLOAsuAQ0D7R733AQ8z8wSwpxtjk9Q7nNH3qYjYDhwDtmTmXESsiIiRzHwF\nrAVa73n3G6zSEueMvg9FxHpgHDiYmXP15pvA6fr3R6qwB8+xtOS5GFugukd/G/gOPLdHLy1tBr0k\nFc7LekkqnEEvSYUz6CWpcAa9JBXOoJekwhn0klQ4g16SCmfQS1LhfgOqaxMAO5PGZgAAAABJRU5E\nrkJggg==\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f160066c400>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "from skopt.plots import plot_objective\n", | |
| "\n", | |
| "_ = plot_objective(mi103_results[0])\n", | |
| "_ = plot_objective(mi103_results[1])\n", | |
| "_ = plot_objective(mi103_results[2])\n", | |
| "_ = plot_objective(mi103_results[3])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 15, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Number of Gaussian processes over non-negative matrix factorizations: 3\n", | |
| "\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "from skopt import load\n", | |
| "rerr103_path = '/home/yngtodd/Desktop/nlp/results_rerr103'\n", | |
| "\n", | |
| "rerr103_results = []\n", | |
| "for file in os.listdir(rerr103_path):\n", | |
| " full_path = os.path.join(rerr103_path, file)\n", | |
| " #print(file)\n", | |
| " rerr103_results.append(load(str(full_path)))\n", | |
| "\n", | |
| "print(\"Number of Gaussian processes over non-negative matrix factorizations: {}\\n\".format(len(rerr103_results)))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 17, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "res0 = rerr103_results[0]\n", | |
| "res1 = rerr103_results[1]\n", | |
| "res2 = rerr103_results[2]" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 19, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<matplotlib.axes._subplots.AxesSubplot at 0x7f16018d4160>" | |
| ] | |
| }, | |
| "execution_count": 19, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": "iVBORw0KGgoAAAANSUhEUgAABCkAAAOlCAYAAABAI71KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nkgIAAACYCEoKAAAAYCL8P3PXokwUwdkUAAAAAElFTkSuQmCC\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f1600482208>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "from skopt.plots import plot_convergence\n", | |
| "fig=plt.figure(figsize=(18, 16))\n", | |
| "\n", | |
| "plot_convergence((\"gp_zero\", res0),\n", | |
| " (\"gp_one\", res1),\n", | |
| " (\"gp_two\", res2))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [] | |
| } | |
| ], | |
| "metadata": { | |
| "kernelspec": { | |
| "display_name": "Python 3", | |
| "language": "python", | |
| "name": "python3" | |
| }, | |
| "language_info": { | |
| "codemirror_mode": { | |
| "name": "ipython", | |
| "version": 3 | |
| }, | |
| "file_extension": ".py", | |
| "mimetype": "text/x-python", | |
| "name": "python", | |
| "nbconvert_exporter": "python", | |
| "pygments_lexer": "ipython3", | |
| "version": "3.6.1" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 2 | |
| } |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment